diff --git a/.github/workflows/test_nightly.yml b/.github/workflows/test_nightly.yml new file mode 100644 index 00000000..3e55ac71 --- /dev/null +++ b/.github/workflows/test_nightly.yml @@ -0,0 +1,148 @@ +name: Nosetests and Valgrind + +# To run this workflow on other branches than devel, uncomment line 4 and comment line 5-7. +#on: [push] +on: + schedule: + - cron: '0 20 * * *' # Daily at UTC 20:00 + +jobs: + iftest: + runs-on: [self-hosted] + outputs: + should_run: ${{ steps.store_output.outputs.SHOULD_RUN }} + steps: + - name: Store output + id: store_output + env: + SHA_LAST_SUCCESS: ${{ secrets.SHA_LAST_SUCCESS }} + run: | + if [ "$SHA_LAST_SUCCESS" == "${{ github.sha }}" ]; then + echo "::set-output name=SHOULD_RUN::0" + else + echo "::set-output name=SHOULD_RUN::1" + fi + + conclude: + runs-on: [self-hosted] + needs: [nose_tests_lvl3, valgrind-wide-and-shallow, valgrind-narrow-and-deep] + steps: + - name: Store current SHA as secret + uses: hmanzur/actions-set-secret@v2.0.0 + with: + name: 'SHA_LAST_SUCCESS' + value: ${{ github.sha }} + repository: lesgourg/class + token: ${{ secrets.REPO_ACCESS_TOKEN }} + + nose_tests_lvl3: + runs-on: [self-hosted] + needs: iftest + if: needs.iftest.outputs.should_run > 0 + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: Create or update virtual Python environment + run: | + rm -f venv/bin/python + virtualenv venv + source venv/bin/activate + pip install --upgrade pip + pip install numpy scipy pandas matplotlib cython nose parameterized + - name: make + run: cd main_class && make -j + - name: Testing 🤖 + run: | + source venv/bin/activate + cd main_class/python + OMP_NUM_THREADS=32 COMPARE_OUTPUT_GAUGE=1 TEST_LEVEL=3 nosetests -v -a test_scenario test_class.py --nologcapture --nocapture + - name: Upload plots 📤 + if: success() || failure() + uses: actions/upload-artifact@v2 + with: + name: ComparePlots + path: main_class/python/faulty_figs + + valgrind-wide-and-shallow: + runs-on: [self-hosted] + needs: iftest + if: needs.iftest.outputs.should_run > 0 + timeout-minutes: 1440 + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: Create or update virtual Python environment + run: | + rm -f venv/bin/python + virtualenv venv + source venv/bin/activate + pip install --upgrade pip + pip install numpy scipy pandas matplotlib cython nose parameterized + - name: make + run: cd main_class && make OMPFLAG="" -j + - name: Generate input files + run: | + source venv/bin/activate + cd main_class/python + TEST_LEVEL=3 CLASS_VERBOSE=1 nosetests -a dump_ini_files test_class.py + - name: Valgrind 🤖 + run: | + cd main_class/python/faulty_figs + rm -rf output && mkdir output + rm -rf valgrind_output && mkdir valgrind_output + cp ../../class . + find . -name "*.ini" -type f -print0 | xargs -0 -I {} -n 1 -P 32 bash -c ': \ + && printf "\nk_step_sub = 10.0\nk_step_super = 0.4\nk_per_decade_for_pk = 2\nk_per_decade_for_bao = 5\n" >> {}' + find . -name "*.ini" -type f -print0 | xargs -0 -I {} -n 1 -P 32 bash -c ': \ + && (valgrind --track-origins=yes --show-leak-kinds=all --leak-check=full --error-exitcode=3 ./class {} &> {}.out && echo {} "...ok") \ + || (echo {} "...fail" && cp {}* valgrind_output && exit 3)' + - name: Upload errors 📤 + if: success() || failure() + uses: actions/upload-artifact@v2 + with: + name: ValgrindOutputWideShallow + path: main_class/python/faulty_figs/valgrind_output + + valgrind-narrow-and-deep: + runs-on: [self-hosted] + needs: iftest + if: needs.iftest.outputs.should_run > 0 + timeout-minutes: 1440 + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: Create or update virtual Python environment + run: | + rm -f venv/bin/python + virtualenv venv + source venv/bin/activate + pip install --upgrade pip + pip install numpy scipy pandas matplotlib cython nose parameterized + - name: make + run: cd main_class && make OMPFLAG="" -j + - name: Generate input files + run: | + source venv/bin/activate + cd main_class/python + TEST_LEVEL=1 CLASS_VERBOSE=1 nosetests -a dump_ini_files test_class.py + - name: Valgrind 🤖 + run: | + cd main_class/python/faulty_figs + rm -rf output && mkdir output + rm -rf valgrind_output && mkdir valgrind_output + cp ../../class . + find . -name "*.ini" -type f -print0 | xargs -0 -I {} -n 1 -P 32 bash -c ': \ + && (valgrind --track-origins=yes --show-leak-kinds=all --leak-check=full --error-exitcode=3 ./class {} &> {}.out && echo {} "...ok") \ + || (echo {} "...fail" && cp {}* valgrind_output && exit 3)' + - name: Upload errors 📤 + if: success() || failure() + uses: actions/upload-artifact@v2 + with: + name: ValgrindOutputNarrowDeep + path: main_class/python/faulty_figs/valgrind_output diff --git a/.github/workflows/test_on_pull_request.yml b/.github/workflows/test_on_pull_request.yml new file mode 100644 index 00000000..3f8c6ed9 --- /dev/null +++ b/.github/workflows/test_on_pull_request.yml @@ -0,0 +1,45 @@ +name: Nosetests lvl2 + +on: [pull_request] + +jobs: + nose_tests_lvl2: + runs-on: [self-hosted] + + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: Checkout reference 🛎 + uses: actions/checkout@v2 + with: + ref: devel + path: ref_class + - name: Create or update virtual Python environment + run: | + rm -f venv/bin/python + virtualenv venv + source venv/bin/activate + pip install --upgrade pip + pip install numpy scipy pandas matplotlib cython nose parameterized + - name: make classy + run: source venv/bin/activate && cd main_class && make -j + - name: make reference classy + run: | + source venv/bin/activate + cd ref_class + sed -i.bak "s/'classy'/'classyref'/g" python/setup.py + sed -i.bak 's/"classy"/"classyref"/g' python/setup.py + make -j + - name: Testing 🤖 + run: | + source venv/bin/activate + cd main_class/python + OMP_NUM_THREADS=16 COMPARE_OUTPUT_REF=1 TEST_LEVEL=2 nosetests -v -a test_scenario test_class.py --nologcapture --nocapture + - name: Upload plots 📤 + if: success() || failure() + uses: actions/upload-artifact@v2 + with: + name: BranchVsMasterPlots + path: main_class/python/faulty_figs diff --git a/.github/workflows/test_on_push.yml b/.github/workflows/test_on_push.yml new file mode 100644 index 00000000..1a88dbe3 --- /dev/null +++ b/.github/workflows/test_on_push.yml @@ -0,0 +1,40 @@ +name: Build and light test + +on: [push] + +jobs: + build: + runs-on: [self-hosted] + + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: make + run: cd main_class && make -j class + - name: run class + run: cd main_class && ./class explanatory.ini + + nose_tests_lvl1: + runs-on: [self-hosted] + + steps: + - name: Checkout 🛎 + uses: actions/checkout@v2 + with: + path: main_class + - name: Create or update virtual Python environment + run: | + rm -f venv/bin/python + virtualenv venv + source venv/bin/activate + pip install --upgrade pip + pip install numpy scipy pandas matplotlib cython nose parameterized + - name: make classy + run: source venv/bin/activate && cd main_class && make -j + - name: Testing 🤖 + run: | + source venv/bin/activate + cd main_class/python + OMP_NUM_THREADS=16 TEST_LEVEL=1 nosetests -v -a test_scenario test_class.py --nologcapture --nocapture diff --git a/.gitignore b/.gitignore index 1e1a5020..c2151a8c 100644 --- a/.gitignore +++ b/.gitignore @@ -6,11 +6,20 @@ class *.prof libclass.a *out +*.gch python/classy.c python/*.pyc python/build/i ini_files .vscode/ +python/classy.cpp *.pyc python/build/ +*.dSYM RealSpaceInterface/cache/ +.DS_Store +doc/manual/html +doc/manual/latex +*.gch +python/dist/ +python/classy.egg-info/ diff --git a/CLASS_rename.py b/CLASS_rename.py new file mode 100644 index 00000000..348b611b --- /dev/null +++ b/CLASS_rename.py @@ -0,0 +1,429 @@ +# Script to change the names of CLASS modules (by Nils Schöneberg & Julien Lesgourgues) +# +# Can be used to: +# - rename module files, module prefixes, module structures, module structure acronyms +# - undo renaming +# - clean the generated log and backup files +# +# usage: CLASS_rename.py [-h] --method {rename,undo,clean} [-v | -q] +# +# optional arguments: +# -h, --help show this help message and exit +# --method {rename,undo,clean} rename / undo renaming / clean +# -v, --verbose Increase the verbosity of the program for more detailed output +# -q, --quiet Make the program entirely quiet, setting the verbosity to 0. +# Also disables the user confirmation, so use it carefully +# +# The actual renaming to be performed has to be set beforehand in the section below. +# Currently this is set for the transformation +# of CLASS v2.10.8 into CLASS v3.0.0 and backwards. + +### EDIT ONLY BELOW ### +### EDIT ONLY BELOW ### + +module_filename = ["thermodynamics","perturbations","nonlinear","transfer","spectra"] +module_prefix = ["thermodynamics","perturb","nonlinear","transfer","spectra"] +structure_longname = ["thermo","perturbs","nonlinear","transfers","spectra"] +structure_shortname = ["th","pt","nl","tr","sp"] + +newmodule_filename = ["thermodynamics","perturbations","fourier","transfer","harmonic"] +newmodule_prefix = ["thermodynamics","perturbations","fourier","transfer","harmonic"] +newstructure_longname = ["thermodynamics","perturbations","fourier","transfer","harmonic"] +newstructure_shortname= ["th","pt","fo","tr","hr"] + +# Potential problem: structure short names are just two +# letters. Combinations of the same two letters may +# appear casually. Thus in some sub-cases we first +# check for exceptions. + +# to identify these exception, for each short name (e.g. 'nl'), run: +# +# > grep "nl\." */*.c */*.h */*.py */*.pyx */*.pxd */*.ipynb */*.ini *.ini +# +# > grep "\&nl" */*.c */*.h */*.py */*.pyx */*.pxd */*.ipynb */*.ini *.ini +# +# and check whether some of the lines feature an nl that has nothing +# to do with the stucture short name. If yes, write the exception in +# the dictionary below. + +exceptions = {"th":[], + "pt":[], + "nl":["nl_corr","R_nl"], + "tr":[], + "sp":["osp.","resp"]} + +prefix_exceptions = {"thermodynamics":[], + "perturbations":[], + "nonlinear":["nonlinear_method","nonlinear_scale","nonlinear_min_k_max"], + "transfer":[], + "spectra":[]} + +src_folder = "source" +incl_folder = "include" +test_folder = "test" + +### EDIT ONLY ABOVE ### +### EDIT ONLY ABOVE ### + + + + +import os +import argparse + +# parse the arguments of the command line +parser = argparse.ArgumentParser(description='Change the names of CLASS modules') +parser.add_argument("--method",choices=["rename","undo","clean"], required=True,help="Do you want to rename / undo renaming / clean the generated log and backup files? Type 'rename','undo', or 'clean'") +# default verbosity is 1, can be increased with -v or decreased with -q +group = parser.add_mutually_exclusive_group() +group.add_argument("-v", "--verbose", action="count",default=1,help="Increase the verbosity of the program for more detailed output") +group.add_argument("-q", "--quiet", action="store_true",help="Make the program entirely quiet, setting the verbosity to 0. This also disables the confirmation required by the user, so use it carefully") +parse_dict = parser.parse_args() + +if parse_dict.quiet: + parse_dict.verbose = 0 + +# Inform the user about the starting of the actual routine +if parse_dict.verbose>0: + print("START RENAMING ROUTINE v.0.3 (credits Nils Schöneberg & Julien Lesgourgues)") + print("CHECKING ALL FILES IN DIRECTORY : "+os.path.abspath(".")) + +# Find the list of all the directories that we will parse and in which we will do changes in some files +# +# Get the list of all folders and subfolders in the local folder +# After this step, each element x is such that x[0] contains a folder name 'folder/subfolder/.../' +folder_list = [x for x in os.walk(".")] +# remove .git, doc, build folders +folder_list = [x for x in folder_list if not (".git" in x[0])] +#folder_list = [x for x in folder_list if not ("doc" in x[0])] +folder_list = [x for x in folder_list if not ("doc/manual" in x[0])] +folder_list = [x for x in folder_list if not ("doc/input/latex" in x[0])] +folder_list = [x for x in folder_list if not ("build" in x[0])] +# remove the folder of the RealSpaceInterface containing cached data +folder_list = [x for x in folder_list if not ("RealSpaceInterface/static" in x[0])] +# keep only the list of all folders, not the files they contain +folder_list = [x[0] for x in folder_list] + +if parse_dict.verbose > 0: + # show the list of 'folder/subfolder/.../' + print("FOLDER LIST : "+" ".join(folder_list)) + + # let the user confirm or abort + read = input("Continue? (y/n)") + if not read.startswith("y"): + quit() + +############### +# 'undo' mode # +############### + +if parse_dict.method == "undo": + + # For each changed module/file name, go back to old file names (e.g. 'fourier.c' -> 'nonlinear.c') such that they can be overwritten by the corresponding .old files + for i in range(len(module_filename)): + xf = module_filename[i] + yf = newmodule_filename[i] + os.rename(os.path.join(src_folder,yf+".c"),os.path.join(src_folder,xf+".c")) + os.rename(os.path.join(incl_folder,yf+".h"),os.path.join(incl_folder,xf+".h")) + os.rename(os.path.join(test_folder,"test_"+yf+".c"),os.path.join(test_folder,"test_"+xf+".c")) + if parse_dict.verbose > 0: + print("REVERTED TO MODULE NAME "+xf) + + # find all folders containing .old and/or .unchanged files + for fldername in folder_list: + # First, get name of all files and subfolders in this folder + filelist_all = os.listdir(fldername) + filelist = [] + for fname in filelist_all: + tmp_name = os.path.join(fldername, fname) + # remove subfolder names, keep only file names + if os.path.isdir(tmp_name): + continue + if tmp_name.endswith(".old"): + filelist.append(fname) + elif tmp_name.endswith(".unchanged"): + filelist.append(fname) + + if parse_dict.verbose > 2: + print (fldername, filelist) + + for filename in filelist: + # remove the log files *.unchanged + # (this can be done safely, as all relevant information is in the .old files) + if(".unchanged" in filename): + os.remove(os.path.join(fldername,filename)) + + # remove the .old extensions, thus overwriting the changed files with the old files + if(".old" in filename): + os.rename(os.path.join(fldername,filename),os.path.join(fldername,filename.replace(".old",""))) + if parse_dict.verbose > 1: + print ("mv "+os.path.join(fldername,filename)+" "+os.path.join(fldername,filename.replace(".old",""))+"!") + + if parse_dict.verbose > 0: + print ("IN "+fname+", DELETED .unchanged AND RESTORED ORIGINAL FROM .old FILES") + + +################ +# 'clean' mode # +################ + +elif parse_dict.method == "clean": + + # find all folders containing .old and/or .unchanged files + for fldername in folder_list: + # First, get name of all files and subfolders in this folder + filelist_all = os.listdir(fldername) + filelist = [] + for fname in filelist_all: + tmp_name = os.path.join(fldername, fname) + # remove subfolder names, keep only file names + if os.path.isdir(tmp_name): + continue + if tmp_name.endswith(".old"): + filelist.append(fname) + elif tmp_name.endswith(".unchanged"): + filelist.append(fname) + + if parse_dict.verbose > 2: + print (fldername,filelist) + + for filename in filelist: + # just remove any .unchanged or .old files + if(".unchanged" in filename or ".old" in filename): + os.remove(os.path.join(fldername,filename)) + + if parse_dict.verbose > 0: + print ("IN "+fname+", DELETED .unchanged AND .old FILES") + + try: + # remove log files Makefile.old and possibly autostep.py + os.remove("Makefile.old") + if parse_dict.verbose > 0: + print ("REMOVED Makefile.old") + os.remove(os.path.join("python","autosetup.py")) + if parse_dict.verbose > 0: + print ("REMOVED python/autosetup.py") + except: + pass + +################# +# 'rename' mode # +################# + +elif parse_dict.method == "rename": + + # Some operations only have to be done for the first iteration over all files + # One example of this is the generation of the backup .old files + # Thus, we keep track if this is our first iteration + first_loop = True + + # loop over each module to be renamed/modified + for i in range(len(module_filename)): + + xf = module_filename[i] + xp = module_prefix[i] + xsl = structure_longname[i] + xss = structure_shortname[i] + + yf = newmodule_filename[i] + yp = newmodule_prefix[i] + ysl = newstructure_longname[i] + yss = newstructure_shortname[i] + + if parse_dict.verbose > 0: + print("BEGIN RENAMING {} -> {}".format(xsl,ysl)) + + # Parse and possibly do changes in each file of the folder fldername + for fldername in folder_list: + + # Establish the list of file to be parsed and possibly modified in this folder + + # First, get name of all files and subfolders in this folder + filelist_all = os.listdir(fldername) + filelist = [] + for fname in filelist_all: + tmp_name = os.path.join(fldername, fname) + # remove subfolder names, keep only file names + if os.path.isdir(tmp_name): + continue + # ignore the automatically generated python setup file + if "autosetup.py" in tmp_name: + continue + # take into account other files with extension .c, .py, .pyx, .pxd, .ipynb, .h, .ini + # but not the .py of the local (root) folder (and thus e.g. not this script!) + if tmp_name.endswith(".c"): + filelist.append(fname) + elif tmp_name.endswith(".py"): + if fldername != '.': + filelist.append(fname) + elif tmp_name.endswith(".pyx"): + filelist.append(fname) + elif tmp_name.endswith(".pxd"): + filelist.append(fname) + elif tmp_name.endswith(".ipynb"): + filelist.append(fname) + elif tmp_name.endswith(".h"): + filelist.append(fname) + elif tmp_name.endswith(".ini"): + filelist.append(fname) + elif tmp_name.endswith(".md"): + filelist.append(fname) + + # show the list of file to be parsed and possibly modified in this folder + if parse_dict.verbose > 1: + print("WILL MODIFY ALL FILES IN FOLDER '{}': [".format(fldername)+",".join(filelist)+"]") + + # iterate over all files in the current folder + for filename in filelist: + # open input file (with old names) + with open(os.path.join(fldername,filename),"r") as inf: + # open temporary output file (where we will subsititue the new names) + with open(os.path.join(fldername,filename+".tmp"),"w") as outf: + # open a log file with extension .unchanged where we will store lines that were not changed but should have, potentially (for visual inspection) + with open(os.path.join(fldername,filename+".unchanged"),"a") as unchf: + # iterate over each line in the input file + line = inf.readline() + while line: + + # I. Treat lines where the full structure name appears, e.g. 'nonlinear' + if "struct "+xsl in line: + if "struct "+xsl+" "+xss in line: + # replace each structure declaration (e.g. 'struct nonlinear nl' -> 'struct fourier fo') + # we isolate this case because it is very useful to catch many occurences of the structure short name (e.g. 'nl') already here + line = line.replace("struct "+xsl+" "+xss,"struct "+ysl+" "+yss) + else: + # replace other occurences (e.g. 'struct nonlinear' -> 'struct fourier') + # Special care is needed here! Check that the next character is not a letter + # Thus we only allow for a small selection of relevant possibilities + for char in ['\t','\n',' ','*','`',';',':']: + line = line.replace("struct "+xsl+char,"struct "+ysl+char) + if "cdef "+xsl in line: + if "cdef "+xsl+" "+xss in line: + # replace each structure declaration (e.g. 'cdef nonlinear nl' -> 'cdef fourier fo') + # we isolate this case because it is very useful to catch many occurences of the structure short name (e.g. 'nl') already here + line = line.replace("cdef "+xsl+" "+xss,"cdef "+ysl+" "+yss) + else: + # replace other occurences (e.g. 'cdef nonlinear' -> 'cdef fourier') + line = line.replace("cdef "+xsl,"cdef "+ysl) + if xsl+" structure" in line: + line = line.replace(xsl+" structure",ysl+" structure") + + # II. Treat lines where the module (= file) name appears + if xf.upper() in line: + # replace capitalized module name (e.g. '__NONLINEAR__' -> '__FOURIER__') + line = line.replace(xf.upper(),yf.upper()) + if xf+".c" in line: + # replace full filename in the comments (e.g. 'nonlinear.c' --> 'fourier.c') + line = line.replace(xf+".c",yf+".c") + if xf+".h" in line: + # replace full filename in the comments (e.g. 'nonlinear.h' --> 'fourier.h') + line = line.replace(xf+".h",yf+".h") + if xf+" module" in line: + # replace full filename in the comments (e.g. 'nonlinear module' --> 'fourier module') + line = line.replace(xf+" module",yf+" module") + if "\""+xf+"\"" in line: + # replace full filename in quotation marks (e.g. '"nonlinear"' --> '"fourier"') + line = line.replace("\""+xf+"\"","\""+yf+"\"") + + + # III. Treat lines where the prefix appears + if xp+"_" in line: + # replace all prefix names (e.g. 'nonlinear' -> 'fourier') + # For all prefix exceptions, substitute the problematic string with 'xx' + for i,x in enumerate(prefix_exceptions[xp]): + if x in line: + line = line.replace(x,prefix_exceptions[xp][i].replace(xp,'xx')) + # Now replace all the corresponding names where the prefix appears + line = line.replace(xp+"_",yp+"_") + # Finally, re-substitute the original exception string instead of the 'xx' + for i,x in enumerate(prefix_exceptions[xp]): + if x.replace(xp,'xx') in line: + line = line.replace(x.replace(xp,'xx'),prefix_exceptions[xp][i]) + + # IV. Treat line where short structure name appears, e.g. 'nl' + if xss in line: + + # replace pointers towards structure (e.g. 'pnl' -> 'pfo') + if "p"+xss in line: + line = line.replace("p"+xss,"p"+yss) + + # replace structure addresses (e.g. '&nl' -> '&fo') and structure short names before dots (e.g. 'nl.error_message' -> 'fo.error_message') + if "&"+xss in line or xss+"." in line: + # For all exceptions, substitute the problematic string with 'xx' + for i,x in enumerate(exceptions[xss]): + if x in line: + line = line.replace(x,exceptions[xss][i].replace(xss,'xx')) + # Now replace all structure short names before dots and addresses + line = line.replace("&"+xss,"&"+yss) + line = line.replace(xss+".",yss+".") + # Finally, re-substitute the original exception string instead of the 'xx' + for i,x in enumerate(exceptions[xss]): + if x.replace(xss,'xx') in line: + line = line.replace(x.replace(xss,'xx'),exceptions[xss][i]) + + # replace structures as fields of bigger structures in python (e.g. 'self.nl' -> 'self.fo') + if "self."+xss in line: + line = line.replace("self."+xss,"self."+yss) + + # if the line did contain the short name in another circumstances, print it in the log file .unchanged + if xss in line: + # Mark the occurence of the short name by arrows (e.g. 'only' -> 'o-->nl<--y') + unchf.write(line.replace(xss,"-->"+xss+"<--")) + + # write the line (changed or not) in the temporary output file + outf.write(line) + line = inf.readline() + + # keep the input file but add to it an extension .old (so we keep it as a backup, if something goes wrong) e.g. nonlinear.c -> nonlinear.c.old + # This is done only in the first loop over modules. + if first_loop == True: + os.rename(os.path.join(fldername,filename),os.path.join(fldername,filename+".old")) + # give to the temporary output file name its final extension (e.g. 'nonlinear.c.tmp' -> 'nonlinear.c') + os.rename(os.path.join(fldername,filename+".tmp"),os.path.join(fldername,filename)) + + if parse_dict.verbose > 1: + print("SUCCESS IN FOLDER {}".format(fldername)) + + # work on the Makefile + if parse_dict.verbose>1: + print("MODIFY MAKEFILE") + with open("Makefile","r") as inf: + # implement the changes in Makefile.tmp + with open("Makefile.tmp","w") as outf: + line = inf.readline() + while line: + # replace long names (e.g. 'nonlinear' -> 'fourier') + if xf in line: + line = line.replace(xf,yf) + # replace long names when capitalized + if xf.upper() in line: + line = line.replace(xf.upper(),yf.upper()) + outf.write(line) + line = inf.readline() + # keep old version with additional .old extension + if first_loop == True: + os.rename("Makefile","Makefile.old") + # rename Makefile.tmp -> Makefile + os.rename("Makefile.tmp","Makefile") + if parse_dict.verbose>1: + print("SUCCESS IN MODIFYING MAKEFILE") + + # change actual file names (e.g. 'nonlinear.c' -> 'fourier.c') + if parse_dict.verbose>1: + print("RENAME MODULE "+yf) + os.rename(os.path.join(src_folder,xf+".c"),os.path.join(src_folder,yf+".c")) + os.rename(os.path.join(incl_folder,xf+".h"),os.path.join(incl_folder,yf+".h")) + os.rename(os.path.join(test_folder,"test_"+xf+".c"),os.path.join(test_folder,"test_"+yf+".c")) + if parse_dict.verbose>1: + print("SUCCESS IN RENAMING MODULE "+yf) + + + if parse_dict.verbose > 0: + print("SUCCESS FOR RENAMING {} -> {}".format(xf,yf)) + + # done for this particular module + first_loop = False + +# end of loop over modulea +if parse_dict.verbose>0: + print("SUCCESS!") diff --git a/CPU b/CPU deleted file mode 100755 index d12c8e54..00000000 --- a/CPU +++ /dev/null @@ -1,427 +0,0 @@ -################################################################### -# -# CPU, a CLASS Plotting Utility -# v1.3 -# Benjamin Audren, 07.11.2011 -# -# This is a small python program aimed to gain time when comparing two -# spectra, i.e. from CAMB and CLASS, or a non-linear spectrum to a -# linear one. It is designed to be used in a command line fashion, not -# being restricted to your CLASS directory, though it recognized mainly -# CLASS output format. Far from perfect, or complete, it could use any -# suggestion for enhancing it, just to avoid losing time on useless -# matters for others. Be warned that, when comparing with other -# format, the following is assumed: there are no empty line (especially -# at the end of file). Gnuplot comment lines (starting with a # are -# allowed). This issue will cause a non-very descriptive error in CPU, -# any suggestion for testing it is welcome. Example of use: To -# superimpose two different spectra and see their global shape : python -# CPU output/lcdm_z2_pk.dat output/lncdm_z2_pk.dat To precisely compare -# the non-linear contribution of one-loop w.r.t. to TRG method: python -# CPU -i output/lcdm_1l_z1_pk.dat output/lcdm_1l_z1_pk_nl_density.dat -# output/lcdm_trg_pk_nl_density.dat The documentation available with -# --help should cover any question. -################################################################### - -from scipy import * -from scipy import interpolate -import numpy as np -import os,sys,string,io,subprocess -import argparse - -# parser for input arguments - -parser = argparse.ArgumentParser(description='CPU, a CLASS Plotting Utility, specify wether you want to superimpose, divide or interpolate different files, and behold!', - epilog='''A standard usage would be, for instance : - python CPU output/test_1l_pk.dat output/test_1l_pk_nl_density.dat -i 0 - python CPU output/wmap_cl.dat output/planck_cl.dat''', -formatter_class=argparse.RawDescriptionHelpFormatter) -parser.add_argument('files', metavar='Files', - type=str, nargs='*', - help='the relative path of the desired file to plot\nfrom the root directory of CLASS') -parser.add_argument('-d, --divide', - dest='merging',action='store_const',const='blend_against',default='blend_together', - help='divide the spectra from different files. The k-values must be strictly identical (default: plot every graph on the same plot)') -parser.add_argument('-i, --interpolate',metavar='index', - nargs='?',dest='interp',const=True,default=False, - help='interpolate the spectra on each set of k-values if different. Use to compare two (or more) graphs with different k-values. If nothing more is specified, it will plot both index in gnuplot. Otherwise, just add -i 0 to plot only the first one.') -parser.add_argument('-t', metavar='pk, cl_lin,etc...', - help='specify the file type (whether pk or cl (if not specified, cl==cl_lin, other choices are cl_log and cl_ll for log linear), only needed if your file name does not already contain one of these keywords...') -parser.add_argument('-colnum',metavar='2, 3, ...', - help='specify the column you want to plot. By default, column is 2: you are plotting TT spectrum') -parser.add_argument('-x, --x11',metavar='gnuplot terminal', - dest='term',action='store_const',const='x11',default='aqua', - help='if your version of gnuplot does not support the aqua terminal, it will pick instead the x11 one, for crappier displays') -parser.add_argument('-p, --print', - dest='printfile',action='store_true',default=False, - help='print the graph directly in a .png file') -parser.add_argument('-r, --repeat', - dest='repeat',action='store_true',default=False, - help='repeat the step for all redshifts with same base name, whatever the desired action') -parser.add_argument('-c, --cleaning',metavar='path', - nargs='?',dest='cleaning',const=True,default=False, - help='remove all .plt files in the current directory (if none specified) : keep your folders clean !') - -# Remove all .plt, interp and divided files generated in output/ -# By default, will clean current directory. - -def clean(path): - pattern1,pattern2,pattern3='.plt','_interp.dat','_divided.dat' - path+="/" - print 'Cleaning {0} directory from .plt files ...'.format(path) - i=0 - for each in os.listdir(path): - if ( (each.rfind(pattern1)!=-1) or (each.rfind(pattern2)!=-1) or (each.rfind(pattern3)!=-1) ): - name= "{0}{1}".format(path,each) - print ' deleting {0}'.format(name) - if os.remove(name)!= None: - break - i+=1 - if i==0: - print ' ==> Already as clean as possible' - else: - print ' ==> Done' - -# Errors ########################### -def error_format(): - print " Hum... have you really provided a .dat file ?" - print " We apologise for the inconvenience, but CPU is exiting now" - exit() - -def error_type(): - print " Spectrum type unrecognized or unsupported yet, sorry!" - print " Please try the -t command in addition to your previous call" - print " We apologise for the inconvenience" - exit() - -def error_number_of_files(): - print " You specified a wrong number of files for the operation you demanded, maybe you do not want to divide only one file, for instance ?" - print " We apologise for the inconvenience" - exit() -#################################### - -# Subfunction called to write on the gnuplot script file the proper file names. - -def printstring(names): - print_file=names[0].rstrip(".dat") - print_file+=".ps" - print_string="set terminal po enhanced color\nset output '{0}'\nreplot".format(print_file) - print '{0} has been generated'.format(print_file) - return print_string - -# Subfunction called to write the most of the gnuplot script file according to options. - -def headers_plot_file(spectrum_type,names,plot_line,term): - tmp=open(names[0],"r") - - # printing option - if ((args.printfile is True) and (plot_line is not False)): - print_string=printstring(names) - else: - print_string="" - - # for interpolation: index choice option - if plot_line is True: - if args.interp is not True: - if args.interp is not False: - index_string=" index {0} ".format(args.interp) - else: - index_string=" " - else: - index_string=" " - - # if args colnum not specified, put it to 2, - if args.colnum is None: - args.colnum=2 - - - if spectrum_type=='cl_lin': - if plot_line is True: - plot_string="plot " - for name in names: - plot_string+="'{0}'".format(name)+"{0}u 1:{1} w l,".format(index_string,args.colnum) - plot_string=plot_string.rstrip(",") - plot_string+="\n" - else: - plot_string='' - return "set terminal {0} enhanced\n".format(term)+"set xlabel 'l'\nset ylabel 'l(l+1)C_l / 2{/Symbol p}'\nset xr [2:]\nset format y '%.0t*10^{%T}'\nset key right\nset title 'CLASS output'\n"+plot_string+print_string - elif spectrum_type=='cl_log': - for line in tmp: - if line.rfind('multipoles')!=-1: - lmax= line.split(None)[-1] - break - if plot_line is True: - plot_string="plot " - for name in names: - plot_string+="'{0}'".format(name)+"{0}u 1:{1} w l,".format(index_string,args.colnum) - plot_string=plot_string.rstrip(",") - plot_string+="\n" - else: - plot_string='' - return "set terminal {0} enhanced\n".format(term)+"set logscale x\nset xr [2:{0}]\n".format(lmax)+"set xlabel 'l'\nset format y '%.0t*10^{%T}'\n"+"set ylabel 'l(l+1)C_l / 2{/Symbol p}'\nset key left\nset title 'CLASS output'\n"+plot_string+print_string - elif spectrum_type=='cl_ll': - for line in tmp: - if line.rfind('multipoles')!=-1: - lmax= line.split()[-1] - break - if plot_line is True: - plot_string="plot " - for name in names: - plot_string+="'{0}'".format(name)+"{0}u (sqrt($1)):{1} w l,".format(index_string,args.colnum) - plot_string=plot_string.rstrip(",") - plot_string=plot_string+"\n" - else: - plot_string='' - return "set terminal {0} enhanced\n".format(term)+"set xlabel 'l'\nset ylabel 'l(l+1)C_l / 2{/Symbol p}'\nset key right\nset title 'CLASS output'\nset xtics ('2' (2),'100' (100), '500' (500), '1000' (1000), '1500' (1500), '2000' (2000),'2500' (2500))"+"\nset format y '%.0t*10^{%T}'\n"+"set xr [2:{0}]\n".format(lmax)+plot_string+print_string - elif spectrum_type=='pk': - if plot_line is True: - plot_string="plot " - for name in names: - plot_string+="'{0}'".format(name)+"{0}w l,".format(index_string) - plot_string=plot_string.rstrip(",") - plot_string+="\n" - else: - plot_string="" - for line in tmp: - if line.rfind('redshift')!=-1: - z= line.split("=")[1] - z= z.rstrip("\n") - break - else: - z= 'I have no idea' - return "set terminal {0} enhanced\n".format(term)+"set logscale\nset xlabel 'k (h/Mpc)'\nset ylabel 'P_k (Mpc/h)^3'\nset key right\nset title 'Power spectrum at z={0}'\n".format(z)+plot_string+print_string - else: - return None - tmp.close() - -# Print all asked files one next to the other (default operation if files with different k values) -def blend_together(names,spectrum_type,term): - gnuplot_file=names[0].replace(".dat",".plt") - if gnuplot_file==names[0]: - error_format() - print ' creating {0}'.format(gnuplot_file) - plotfile = open(gnuplot_file, "w") - plotfile.write(headers_plot_file(spectrum_type, names,True,term)) - plotfile.close() - _plot(gnuplot_file) - -# Print all asked files with respect to the same k (or anything) values, all y-data being divided by the y data of the first file. -# Only valid if the k values are exactly the same (values and number of values). -def blend_against(names,spectrum_type,term): - gnuplot_file=names[0].replace(".dat",".plt") - data_file=names[0].replace(".dat","_divided.dat") - if gnuplot_file==names[0]: - error_format() - print ' creating {0} and {1}'.format(gnuplot_file,data_file) - string=['' for rows in range(10000)] - imax=0 - datafile=open(data_file,"w") - for name in names: - i=0 - tmp=open(name,"r") - for line in tmp: - if ((line.find('#')==-1) and (line.rfind('000000')==-1)): - string[i]=string[i]+line.rstrip("\n")+"\t" - if i>imax: - imax=i - i+=1 - tmp.close() - for i in range(imax): - datafile.write(string[i]+"\n") - plotfile = open(gnuplot_file,"w") - plotfile.write(headers_plot_file(spectrum_type,names,False,term)) - plot_string='unset logscale\nplot ' - x_base=1 - field_base=2 - field=2 - size=len(names) - for i in range(size): - field+=2 - plot_string+="'{0}' u {1}:(${2}/${3}) w l,".format(data_file,x_base,field,field_base) - plot_string=plot_string.rstrip(',') - plot_string+="\n" - plotfile.write(plot_string) - plotfile.close() - datafile.close() - _plot(gnuplot_file) - -# If k values are different, an interpolation is done and outputs a data file. For a two files case: -# File 1 contains ( k1 | P1(k1) ), File 2 ( k2 | P2(k2) ). The data file created will contain: -# k1 | P1(k1) | P2(k1)_interp -#(blank space for gnuplot using index 0, etc) -# k2 | P1(k2)_interp | P2(k2) -def blend_against_interp(names,spectrum_type,term): - gnuplot_file=names[0].replace(".dat",".plt") - data_file=names[0].replace(".dat","_interp.dat") - if gnuplot_file==names[0]: - error_format() - print ' creating {0} and {1}'.format(gnuplot_file,data_file) - plotfile = open(gnuplot_file,"w") - l=0 - jmax=[0 for col in range(10)] - lmax=0 - kmax=10000000 - kmin=0 - spam = np.array([[[0 for col in range(10)] for row in range(10000)] for depth in range(2)],dtype=float) - for name in names: - currentfile = open(name,"r") - print ' reading {0}..'.format(name) - j=0 - for line in currentfile: - if (line.find('#')==-1): - line=line.split() - spam[0,j,l]=float(line[0]) - spam[1,j,l]=float(line[1]) - j+=1 - jmax[l]=j - if spam[0,jmax[l]-1,l]<=kmax: - kmax=spam[0,jmax[l]-1,l] - if spam[0,0,l]>=kmin: - kmin=spam[0,0,l] - l+=1 - currentfile.close() - lmax=l - lower_bound=[0 for col in range(10)] - upper_bound=[0 for col in range(10)] - #determining the upper and lower bound for each file, to only do interpolation - for l in range (lmax): - for j in range (jmax[l]): - if ((spam[0,j,l]=kmin)): - lower_bound[l]=j+1 - if (spam[0,j,l]<=kmax): - upper_bound[l]=j - print ' -> done' - - #creating the new data file - curves=[np.array for row in range(lmax)] - interpolated=[np.array for row in range(lmax)] - for l in range (lmax): - x=spam[0,lower_bound[l]:upper_bound[l],l] - y=spam[1,lower_bound[l]:upper_bound[l],l] - curves[l]=interpolate.splrep(x,y) - - datafile = open(data_file,"w") - for l in range (lmax): - for ll in range(lmax): - if ll==l: - interpolated[ll]=spam[1,lower_bound[l]:upper_bound[l],l] - else: - x2=spam[0,lower_bound[l]:upper_bound[l],l] - interpolated[ll]=interpolate.splev(x2,curves[ll],der=0) - for j in range(upper_bound[l]-lower_bound[l]-2): - data_string='' - for ll in range(lmax): - data_string=data_string+str((interpolated[ll])[j+1])+"\t" - datafile.write(str(spam[0,j+lower_bound[l]+1,l])+"\t"+data_string+"\n") - datafile.write("\n\n") - datafile.close() - - # if index chosen - if args.interp is not True: - index_string_interp=" index {0}".format(args.interp) - else: - index_string_interp="" - plotfile = open(gnuplot_file,"w") - plotfile.write(headers_plot_file(spectrum_type,names,False,term)) - plotfile.write("unset logscale \n") - if args.t in ['cl_log', 'pk']: - plotfile.write("set logscale x\n") - plotfile.write("set xr [{0}:{1}]\n".format(kmin,kmax)) - #plotfile.write("set yr [-0.001:0.005]\n") - plot_string="plot " - for l in range(lmax-1): - plot_string+="'{0}' {1} u 1:(${2}/$2-1) w l,".format(data_file,index_string_interp,l+3) - plot_string=plot_string.rstrip(",") - plot_string=plot_string+"\n" - plotfile.write(plot_string) - - if (args.printfile is True): - plotfile.write(printstring(names)) - - plotfile.close() - _plot(gnuplot_file) - -# Launch session of gnuplot with generated gnuplot script file -def _plot(gnuplot_file): - os.system("gnuplot -persist '{0}'".format(gnuplot_file)) - - -####################################################### -################## MAIN PART ########################## -####################################################### - -print '~~~ CPU, a CLASS Plotting Utility ~~~' -args = parser.parse_args() - -# check if the user want to clean its directory first -if args.cleaning is not False: - if args.cleaning is not True: - clean(args.cleaning) - else: - clean(os.getcwd()) - exit() - -# if there are no argument in the input, print usage -if len(args.files)==0: - parser.print_usage() - exit() - -# if the first file name contains cl or pk, infer the type of desired spectrum -if ((args.files[0].rfind('cl')!=-1) and (args.t is None)): - spectrum_type='cl_lin' - args.t = 'cl_lin' -elif args.files[0].rfind('pk')!=-1: - spectrum_type='pk' - args.t = 'pk' -elif args.t is not None: - spectrum_type=args.t -else: - error_type() - -# repeater -temp_path=args.files[0].split("/") -if len(temp_path)> 1: - path=temp_path[-2] -else: - path=os.getcwd() -list_file=['' for i in range(len(args.files)*10)] -if (temp_path[-1].rfind("z")!=-1 and args.repeat is True): - root_name=temp_path[-1].split("z")[-2] - for any in range (0,len(args.files)): - extension_name=args.files[any].split("/")[-1].split("_")[-1] - i=0 - for each in os.listdir(path): - if (("z" in each) and (each.split("z")[-2]==root_name) and (each.split("_")[-1]==extension_name)): - if len(temp_path)>1: - list_file[any+len(args.files)*i]=temp_path[-2]+"/"+each - else: - list_file[any+len(args.files)*i]=each - i+=1 - if args.repeat is True: - repeat_len=i-1 - else: - repeat_len=0 -else: - for any in range(0,len(args.files)): - list_file[any]=args.files[any] - repeat_len=0 - - -# actual computation -for i in range(0,repeat_len+1): - local_files=['' for k in range(len(args.files))] - for j in range(0,len(args.files)): - local_files[j]=list_file[j+len(args.files)*i] - if args.interp is False: - if args.merging=='blend_together': - blend_together(local_files,spectrum_type,args.term) - else: - if len(local_files)<2: - error_number_of_files() - else: - blend_against(local_files,spectrum_type,args.term) - else: - print '**interpolating (please wait)' - blend_against_interp(local_files,spectrum_type,args.term) - -exit() diff --git a/Makefile b/Makefile old mode 100755 new mode 100644 index b27e9926..67a3f04f --- a/Makefile +++ b/Makefile @@ -1,5 +1,6 @@ #Some Makefile for CLASS. #Julien Lesgourgues, 28.11.2011 +#Nils Schöneberg, Matteo Lucca, 27.02.2019 MDIR := $(shell pwd) WRKDIR = $(MDIR)/build @@ -10,6 +11,7 @@ WRKDIR = $(MDIR)/build vpath %.c source:tools:main:test vpath %.o build +vpath %.opp build vpath .base build ######################################################## @@ -20,6 +22,7 @@ vpath .base build CC = gcc #CC = icc #CC = pgcc +CPP = g++ --std=c++11 -fpermissive -Wno-write-strings # your tool for creating static libraries: AR = ar rv @@ -28,17 +31,16 @@ AR = ar rv # In order to use Python 3, you can manually # substitute python3 to python in the line below, or you can simply # add a compilation option on the terminal command line: -# "PYTHON=python3 make all" (THanks to Marius Millea for pyhton3 -# compatibility) +# "PYTHON=python3 make all" (Thanks to Marius Millea for python3 compatibility) PYTHON ?= python # your optimization flag -OPTFLAG = -O4 -ffast-math #-march=native +OPTFLAG = -O3 #OPTFLAG = -Ofast -ffast-math #-march=native #OPTFLAG = -fast # your openmp flag (comment for compiling without openmp) -OMPFLAG = -fopenmp +OMPFLAG = -pthread #-fopenmp #OMPFLAG = -mp -mp=nonuma -mp=allcores -g #OMPFLAG = -openmp @@ -47,37 +49,70 @@ CCFLAG = -g -fPIC LDFLAG = -g -fPIC # leave blank to compile without HyRec, or put path to HyRec directory -# (with no slash at the end: e.g. hyrec or ../hyrec) -HYREC = hyrec +# (with no slash at the end: e.g. "external/RecfastCLASS") +HYREC = external/HyRec2020 +RECFAST = external/RecfastCLASS +HEATING = external/heating + +# path to hi_class external modules (with no slash at the end). +# do not leave blank otherwise the code does not compile +HI_CLASS_PATH = gravity_smg ######################################################## ###### IN PRINCIPLE THE REST SHOULD BE LEFT UNCHANGED ## ######################################################## # pass current working directory to the code -CCFLAG += -D__CLASSDIR__='"$(MDIR)"' +CLASSDIR ?= $(MDIR) +CCFLAG += -D__CLASSDIR__='"$(CLASSDIR)"' # where to find include files *.h INCLUDES = -I../include +HEADERFILES = $(wildcard ./include/*.h) # automatically add external programs if needed. First, initialize to blank. EXTERNAL = -# eventually update flags for including HyRec +vpath %.c $(RECFAST) +#CCFLAG += -DRECFAST +INCLUDES += -I../$(RECFAST) +EXTERNAL += wrap_recfast.o +HEADERFILES += $(wildcard ./$(RECFAST)/*.h) + +vpath %.c $(HEATING) +#CCFLAG += -DHEATING +INCLUDES += -I../$(HEATING) +EXTERNAL += injection.o noninjection.o +HEADERFILES += $(wildcard ./$(HEATING)/*.h) + +# update flags for including HyRec ifneq ($(HYREC),) vpath %.c $(HYREC) CCFLAG += -DHYREC #LDFLAGS += -DHYREC -INCLUDES += -I../hyrec -EXTERNAL += hyrectools.o helium.o hydrogen.o history.o +INCLUDES += -I../$(HYREC) +EXTERNAL += hyrectools.o helium.o hydrogen.o history.o wrap_hyrec.o energy_injection.o +HEADERFILES += $(wildcard ./$(HYREC)/*.h) endif -%.o: %.c .base +# eventually update flags for including gravity_smg +ifneq ($(HI_CLASS_PATH),) +vpath %.c $(HI_CLASS_PATH) +CCFLAG += -DHI_CLASS_PATH +#LDFLAGS += -DHI_CLASS_PATH +INCLUDES += -I../gravity_smg/include +EXTERNAL += input_smg.o background_smg.o perturbations_smg.o fourier_smg.o gravity_functions_smg.o gravity_models_smg.o +endif + +%.o: %.c .base $(HEADERFILES) cd $(WRKDIR);$(CC) $(OPTFLAG) $(OMPFLAG) $(CCFLAG) $(INCLUDES) -c ../$< -o $*.o -TOOLS = growTable.o dei_rkck.o sparse.o evolver_rkck.o evolver_ndf15.o arrays.o parser.o quadrature.o hyperspherical.o common.o rootfinder.o +%.opp: %.c .base $(HEADERFILES) + cd $(WRKDIR);$(CPP) $(OPTFLAG) $(OMPFLAG) $(CCFLAG) $(INCLUDES) -c ../$< -o $*.opp + +TOOLS = growTable.o dei_rkck.o sparse.o evolver_rkck.o evolver_ndf15.o arrays.opp parser.o quadrature.o hyperspherical.opp common.o rootfinder.o trigonometric_integrals.o -SOURCE = input.o background.o thermodynamics.o perturbations.o primordial.o nonlinear.o transfer.o spectra.o lensing.o +SOURCE = input.o background.o thermodynamics.o perturbations.opp primordial.opp fourier.o transfer.opp harmonic.opp lensing.opp distortions.o INPUT = input.o @@ -93,12 +128,14 @@ TRANSFER = transfer.o PRIMORDIAL = primordial.o -SPECTRA = spectra.o +HARMONIC = harmonic.o -NONLINEAR = nonlinear.o +FOURIER = fourier.o LENSING = lensing.o +DISTORTIONS = distortions.o + OUTPUT = output.o CLASS = class.o @@ -107,11 +144,11 @@ TEST_LOOPS = test_loops.o TEST_LOOPS_OMP = test_loops_omp.o -TEST_DEGENERACY = test_degeneracy.o +TEST_HARMONIC = test_harmonic.o TEST_TRANSFER = test_transfer.o -TEST_NONLINEAR = test_nonlinear.o +TEST_FOURIER = test_fourier.o TEST_PERTURBATIONS = test_perturbations.o @@ -119,15 +156,11 @@ TEST_THERMODYNAMICS = test_thermodynamics.o TEST_BACKGROUND = test_background.o -TEST_SIGMA = test_sigma.o - TEST_HYPERSPHERICAL = test_hyperspherical.o -TEST_STEPHANE = test_stephane.o - C_TOOLS = $(addprefix tools/, $(addsuffix .c,$(basename $(TOOLS)))) C_SOURCE = $(addprefix source/, $(addsuffix .c,$(basename $(SOURCE) $(OUTPUT)))) -C_TEST = $(addprefix test/, $(addsuffix .c,$(basename $(TEST_DEGENERACY) $(TEST_LOOPS) $(TEST_TRANSFER) $(TEST_NONLINEAR) $(TEST_PERTURBATIONS) $(TEST_THERMODYNAMICS)))) +C_TEST = $(addprefix test/, $(addsuffix .c,$(basename $(TEST_DEGENERACY) $(TEST_LOOPS) $(TEST_TRANSFER) $(TEST_FOURIER) $(TEST_PERTURBATIONS) $(TEST_THERMODYNAMICS)))) C_MAIN = $(addprefix main/, $(addsuffix .c,$(basename $(CLASS)))) C_ALL = $(C_MAIN) $(C_TOOLS) $(C_SOURCE) H_ALL = $(addprefix include/, common.h svnversion.h $(addsuffix .h, $(basename $(notdir $(C_ALL))))) @@ -142,53 +175,40 @@ libclass.a: $(TOOLS) $(SOURCE) $(EXTERNAL) $(AR) $@ $(addprefix build/, $(TOOLS) $(SOURCE) $(EXTERNAL)) class: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(CLASS) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o class $(addprefix build/,$(notdir $^)) -lm - -test_sigma: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(TEST_SIGMA) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o test_sigma $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o class $(addprefix build/,$(notdir $^)) -lm test_loops: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(TEST_LOOPS) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_loops_omp: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(TEST_LOOPS_OMP) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm -test_stephane: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(TEST_STEPHANE) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm - -test_degeneracy: $(TOOLS) $(SOURCE) $(EXTERNAL) $(OUTPUT) $(TEST_DEGENERACY) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm +test_harmonic: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_HARMONIC) + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_transfer: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_TRANSFER) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm -test_nonlinear: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_NONLINEAR) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm +test_fourier: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_FOURIER) + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_perturbations: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_PERTURBATIONS) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_thermodynamics: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_THERMODYNAMICS) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_background: $(TOOLS) $(SOURCE) $(EXTERNAL) $(TEST_BACKGROUND) - $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm + $(CPP) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o $@ $(addprefix build/,$(notdir $^)) -lm test_hyperspherical: $(TOOLS) $(TEST_HYPERSPHERICAL) $(CC) $(OPTFLAG) $(OMPFLAG) $(LDFLAG) -o test_hyperspherical $(addprefix build/,$(notdir $^)) -lm - tar: $(C_ALL) $(C_TEST) $(H_ALL) $(PRE_ALL) $(INI_ALL) $(MISC_FILES) $(HYREC) $(PYTHON_FILES) tar czvf class.tar.gz $(C_ALL) $(H_ALL) $(PRE_ALL) $(INI_ALL) $(MISC_FILES) $(HYREC) $(PYTHON_FILES) classy: libclass.a python/classy.pyx python/cclassy.pxd -ifdef OMPFLAG - cp python/setup.py python/autosetup.py -else - grep -v "lgomp" python/setup.py > python/autosetup.py -endif - cd python; export CC=$(CC); $(PYTHON) autosetup.py install || $(PYTHON) autosetup.py install --user - rm python/autosetup.py + cd python; export CC=$(CC); $(PYTHON) setup.py install || $(PYTHON) setup.py install --user clean: .base rm -rf $(WRKDIR); diff --git a/README.md b/README.md index 0307968e..c3efae43 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,11 @@ CLASS: Cosmic Linear Anisotropy Solving System {#mainpage} ============================================== -Authors: Julien Lesgourgues and Thomas Tram +Authors: Julien Lesgourgues, Thomas Tram, Nils Schoeneberg with several major inputs from other people, especially Benjamin Audren, Simon Prunet, Jesus Torrado, Miguel Zumalacarregui, Francesco -Montanari, etc. +Montanari, Deanna Hooper, Samuel Brieden, Daniel Meinert, Matteo Lucca, etc. For download and information, see http://class-code.net @@ -44,7 +44,9 @@ explaining the use of all possible input parameters. We recommend to read it, to keep it unchanged (for future reference), and to create for your own purposes some shorter input files, containing only the input lines which are useful for you. Input files must have a *.ini -extension. +extension. We provide an example of an input file containing a +selection of the most used parameters, default.ini, that you may use as a +starting point. If you want to play with the precision/speed of the code, you can use one of the provided precision files (e.g. cl_permille.pre) or modify diff --git a/REFCLASS.pre b/REFCLASS.pre deleted file mode 100644 index 4bb7c482..00000000 --- a/REFCLASS.pre +++ /dev/null @@ -1,108 +0,0 @@ -# this precision file obtained as follows: -# - computing adiabatic scalar unlensed ClT only (ndf15 integrator with AMD) -# - for each precision parameter varied individually, Deltachi2(Planck) between high-precision limit and selected value = 1.e-3 - -a_ini_over_a_today_default = 1.e-14 -back_integration_stepsize = 7.e-3 -tol_background_integration = 1.e-2 - -recfast_z_initial=1.e4 - -recfast_Nz0=100000 -tol_thermo_integration=1.e-5 - -recfast_Heswitch=6 -recfast_fudge_He=0.86 - -recfast_Hswitch = 1 #_TRUE_ -recfast_fudge_H = 1.14 -recfast_delta_fudge_H = -0.035 -recfast_AGauss1 = -0.14 -recfast_AGauss2 = 0.05 -recfast_zGauss1 = 7.28 -recfast_zGauss2 = 6.75 -recfast_wGauss1 = 0.18 -recfast_wGauss2 = 0.33 - -recfast_z_He_1 = 8000. -recfast_delta_z_He_1 = 50. -recfast_z_He_2 = 5000. -recfast_delta_z_He_2 = 100. -recfast_z_He_3 = 3500. -recfast_delta_z_He_3 = 50. -recfast_x_He0_trigger = 0.995 -recfast_x_He0_trigger2 = 0.995 -recfast_x_He0_trigger_delta = 0.01 -recfast_x_H0_trigger = 0.995 -recfast_x_H0_trigger2 = 0.995 -recfast_x_H0_trigger_delta = 0.01 - -recfast_H_frac=1.e-3 - -reionization_z_start_max = 50. -reionization_sampling=1.e-2 -reionization_optical_depth_tol=1.e-2 -reionization_exponent=1.5 - -reionization_width=0.5 - -reionization_start_factor=8. -helium_fullreio_redshift=3.5 -helium_fullreio_width=0.5 - -thermo_rate_smoothing_radius=50 - -gauge=1 #synchronous - -k_scalar_min_eta0=0.002 -k_scalar_max_eta0_over_l_max=3. -k_scalar_step_sub=0.015 -k_scalar_step_super=0.0001 # was 0.0005 -k_scalar_step_transition=0.2 # was 0.2 - -#start_small_k_at_eta_g_over_eta_h = 0.006 -#start_large_k_at_eta_g_over_eta_k = 1.e-5 -#tight_coupling_trigger_eta_g_over_eta_h=0.008 -#tight_coupling_trigger_eta_g_over_eta_k=0.05 -#start_sources_at_eta_g_over_eta_h = 0.01 -start_small_k_at_eta_g_over_eta_h = 0.0004 -start_large_k_at_eta_h_over_eta_k = 0.15 -tight_coupling_trigger_eta_g_over_eta_h=0.005 -tight_coupling_trigger_eta_g_over_eta_k=0.008 -start_sources_at_eta_g_over_eta_h = 0.006 -tight_coupling_approximation=5 #(int)second_order_CRS; - -l_max_g=25 -l_max_pol_g=25 -l_max_nur=35 -l_max_ncdm1=28 - -tol_eta_approx=1.e-5 -tol_perturb_integration=1.e-6 -perturb_sampling_stepsize=0.01 - -free_streaming_approximation = 2 -free_streaming_trigger_eta_h_over_eta_k = 120. -free_streaming_trigger_Omega_r = 0.07 - -l_logstep=1.026 -l_linstep=25 - -bessel_x_step=0.005 -bessel_j_cut=5.e-10 # WATCH IT! -bessel_delta_x_min =1.e-4 -bessel_file_name=bessel_large.dat - -k_per_decade_primordial = 10. - -k_step_trans_scalars=0.002 - -transfer_cut=1 #0=none,1=osc,2=cl #segfault with zero, watch it! -transfer_cut_threshold_osc=0.005 # with 0.005, more smooth than when smaller for l>2000 WATCH IT -transfer_cut_threshold_cl=1.e-8 # not robust if tilted or if one Delta_l(k) oscillation tangents zero - -evolver=0 - -l_switch_limber = 40. -num_mu_minus_lmax = 1000. -delta_l_max = 1000. \ No newline at end of file diff --git a/REFCLASS_tClpCl.pre b/REFCLASS_tClpCl.pre deleted file mode 100644 index dde3b6ab..00000000 --- a/REFCLASS_tClpCl.pre +++ /dev/null @@ -1,108 +0,0 @@ -# this precision file obtained as follows: -# - computing adiabatic scalar unlensed ClT only (ndf15 integrator with AMD) -# - for each precision parameter varied individually, Deltachi2(Planck) between high-precision limit and selected value = 1.e-3 - -a_ini_over_a_today_default = 1.e-14 -back_integration_stepsize = 7.e-3 -tol_background_integration = 1.e-2 - -recfast_z_initial=1.e4 - -recfast_Nz0=100000 -tol_thermo_integration=1.e-5 - -recfast_Heswitch=6 -recfast_fudge_He=0.86 - -recfast_Hswitch = 1 #_TRUE_ -recfast_fudge_H = 1.14 -recfast_delta_fudge_H = -0.035 -recfast_AGauss1 = -0.14 -recfast_AGauss2 = 0.05 -recfast_zGauss1 = 7.28 -recfast_zGauss2 = 6.75 -recfast_wGauss1 = 0.18 -recfast_wGauss2 = 0.33 - -recfast_z_He_1 = 8000. -recfast_delta_z_He_1 = 50. -recfast_z_He_2 = 5000. -recfast_delta_z_He_2 = 100. -recfast_z_He_3 = 3500. -recfast_delta_z_He_3 = 50. -recfast_x_He0_trigger = 0.995 -recfast_x_He0_trigger2 = 0.995 -recfast_x_He0_trigger_delta = 0.01 -recfast_x_H0_trigger = 0.995 -recfast_x_H0_trigger2 = 0.995 -recfast_x_H0_trigger_delta = 0.01 - -recfast_H_frac=1.e-3 - -reionization_z_start_max = 50. -reionization_sampling=1.e-2 -reionization_optical_depth_tol=1.e-2 -reionization_exponent=1.5 - -reionization_width=0.5 - -reionization_start_factor=8. -helium_fullreio_redshift=3.5 -helium_fullreio_width=0.5 - -thermo_rate_smoothing_radius=50 - -gauge=1 #synchronous - -k_scalar_min_eta0=0.003 -k_scalar_max_eta0_over_l_max=3. -k_scalar_step_sub=0.01 -k_scalar_step_super=0.0005 -k_scalar_step_transition=0.2 - -#start_small_k_at_eta_g_over_eta_h = 0.006 -#start_large_k_at_eta_g_over_eta_k = 1.e-5 -#tight_coupling_trigger_eta_g_over_eta_h=0.008 -#tight_coupling_trigger_eta_g_over_eta_k=0.05 -#start_sources_at_eta_g_over_eta_h = 0.01 -start_small_k_at_eta_g_over_eta_h = 0.0004 -start_large_k_at_eta_h_over_eta_k = 0.15 -tight_coupling_trigger_eta_g_over_eta_h=0.005 -tight_coupling_trigger_eta_g_over_eta_k=0.008 -start_sources_at_eta_g_over_eta_h = 0.006 -tight_coupling_approximation=5 #(int)second_order_CRS; - -l_max_g=25 -l_max_pol_g=25 -l_max_nur=35 -l_max_ncdm1=28 - -tol_eta_approx=1.e-5 -tol_perturb_integration=1.e-6 -perturb_sampling_stepsize=0.01 - -free_streaming_approximation = 2 -free_streaming_trigger_eta_h_over_eta_k = 120. -free_streaming_trigger_Omega_r = 0.07 - -l_logstep=1.026 -l_linstep=25 - -bessel_x_step=0.01 -bessel_j_cut=5.e-10 # WATCH IT! -bessel_delta_x_min =1.e-4 -bessel_file_name=bessel_large.dat - -k_per_decade_primordial = 10. - -k_step_trans_scalars=0.04 # 0.04 to smooth oscillations at l<200, but 0.2 reasonnable; smaller -> job killed on superb - -transfer_cut=2 #0=none,1=osc,2=cl #segfault with zero, watch it! -transfer_cut_threshold_osc=0.005 # with 0.005, more smooth than when smaller for l>2000 WATCH IT -transfer_cut_threshold_cl=1.e-8 - -evolver=0 - -l_switch_limber = 10. -num_mu_minus_lmax = 1000. -delta_l_max = 2000. \ No newline at end of file diff --git a/RealSpaceInterface/__pycache__/config.cpython-36.pyc b/RealSpaceInterface/__pycache__/config.cpython-36.pyc deleted file mode 100644 index 69bdfa6e..00000000 Binary files a/RealSpaceInterface/__pycache__/config.cpython-36.pyc and /dev/null differ diff --git a/base_2015_plikHM_TT_lowTEB_lensing.ini b/base_2015_plikHM_TT_lowTEB_lensing.ini index 3fecd492..f14d4ada 100644 --- a/base_2015_plikHM_TT_lowTEB_lensing.ini +++ b/base_2015_plikHM_TT_lowTEB_lensing.ini @@ -13,10 +13,11 @@ H0 = 67.86682 omega_b = 0.02227716 -N_ur = 2.03066666667 +N_ur = 2.046 omega_cdm = 0.1184293 N_ncdm = 1 -omega_ncdm = 0.0006451439 +m_ncdm = 0.06 +T_ncdm = 0.7137658555036082 # (4/11)^(1/3) #-------------------------------- #----> thermodynamics parameters: @@ -45,7 +46,7 @@ non linear = halofit output = tCl,pCl,lCl,mPk lensing = yes -root = output/base_2015_plikHM_TT_lowTEB_lensing_ +root = output/base_2015_plikHM_TT_lowTEB_lensing write warnings = yes write parameters = yes @@ -56,7 +57,7 @@ thermodynamics_verbose = 1 perturbations_verbose = 1 transfer_verbose = 1 primordial_verbose = 1 -spectra_verbose = 1 -nonlinear_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 lensing_verbose = 1 output_verbose = 1 \ No newline at end of file diff --git a/base_2018_plikHM_TTTEEE_lowl_lowE_lensing.ini b/base_2018_plikHM_TTTEEE_lowl_lowE_lensing.ini index 91071229..3b6808a0 100644 --- a/base_2018_plikHM_TTTEEE_lowl_lowE_lensing.ini +++ b/base_2018_plikHM_TTTEEE_lowl_lowE_lensing.ini @@ -13,10 +13,11 @@ H0 = 67.32117 omega_b = 0.02238280 -N_ur = 2.03066666667 +N_ur = 2.046 omega_cdm = 0.1201075 N_ncdm = 1 -omega_ncdm = 0.0006451439 +m_ncdm = 0.06 +T_ncdm = 0.7137658555036082 # (4/11)^(1/3) #-------------------------------- #----> thermodynamics parameters: @@ -45,7 +46,7 @@ non linear = halofit output = tCl,pCl,lCl,mPk lensing = yes -root = output/base_2018_plikHM_TTTEEE_lowl_lowE_lensing_ +root = output/base_2018_plikHM_TTTEEE_lowl_lowE_lensing write warnings = yes write parameters = yes @@ -56,7 +57,7 @@ thermodynamics_verbose = 1 perturbations_verbose = 1 transfer_verbose = 1 primordial_verbose = 1 -spectra_verbose = 1 -nonlinear_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 lensing_verbose = 1 output_verbose = 1 \ No newline at end of file diff --git a/cl_ref.pre b/cl_ref.pre index 376e5bbb..ccb86d11 100644 --- a/cl_ref.pre +++ b/cl_ref.pre @@ -27,8 +27,14 @@ l_max_pol_g=25 l_max_ur=50 l_max_ncdm=50 -tol_perturb_integration=1.e-6 -perturb_sampling_stepsize=0.01 +#Maximum multipoles in the tensor hierarchy +#This requires hierarchy = tam in the .ini file, otherwise the precision is too stiff for the optimal hierarchy. +l_max_g_ten=50 +l_max_pol_g_ten=25 +l_max_ur_ten=50 + +tol_perturbations_integration=1.e-6 +perturbations_sampling_stepsize=0.01 radiation_streaming_approximation = 2 radiation_streaming_trigger_tau_over_tau_k = 240. diff --git a/cpp/ClassEngine.cc b/cpp/ClassEngine.cc index 82fcd31b..7e077cd2 100644 --- a/cpp/ClassEngine.cc +++ b/cpp/ClassEngine.cc @@ -30,7 +30,7 @@ template std::string str(const T &x){ std::ostringstream os; os << x; return os.str(); -}; +} //specilization template<> std::string str (const float &x){ std::ostringstream os; @@ -65,13 +65,13 @@ template string str(const unsigned long long &x); //--------------- // Constructors -- //---------------- -ClassEngine::ClassEngine(const ClassParams& pars): cl(0),dofree(true){ +ClassEngine::ClassEngine(const ClassParams& pars, bool verbose): cl(0),dofree(true){ //prepare fp structure size_t n=pars.size(); // - parser_init(&fc,n,"pipo",_errmsg); - + parser_init(&fc,n,(char*)"pipo",_errmsg); + //config for (size_t i=0;i> _lmax; } } - cout << __FILE__ << " : using lmax=" << _lmax <0); + if( verbose ) cout << __FILE__ << " : using lmax=" << _lmax <0); // this collides with transfer function calculations //input - if (input_init(&fc,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,_errmsg) == _FAILURE_) + if (input_read_from_file(&fc,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&sd,&op,_errmsg) == _FAILURE_) throw invalid_argument(_errmsg); //proetction parametres mal defini @@ -99,16 +99,18 @@ ClassEngine::ClassEngine(const ClassParams& pars): cl(0),dofree(true){ //calcul class computeCls(); - + //cout <<"creating " << sp.ct_size << " arrays" <> _lmax; } } - cout << __FILE__ << " : using lmax=" << _lmax <%s\n",errmsg); + + if (input_read_from_file(pfc,ppr,pba,pth,ppt,ptr,ppm,psp,pnl,ple,psd,pop,errmsg) == _FAILURE_) { + printf("\n\nError running input_read_from_file \n=>%s\n",errmsg); dofree=false; return _FAILURE_; } @@ -304,6 +310,19 @@ int ClassEngine::class_main( return _FAILURE_; } + if (distortions_init(ppr,pba,pth,ppt,ppm,psd) == _FAILURE_) { + printf("\n\nError in distortions_init \n=>%s\n",psd->error_message); + lensing_free(&le); + spectra_free(&sp); + transfer_free(&tr); + nonlinear_free(&nl); + primordial_free(&pm); + perturb_free(&pt); + thermodynamics_free(&th); + background_free(&ba); + dofree=false; + return _FAILURE_; + } dofree=true; return _SUCCESS_; @@ -317,7 +336,7 @@ int ClassEngine::computeCls(){ //printFC(); #endif - int status=this->class_main(&fc,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,_errmsg); + int status=this->class_main(&fc,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&sd,&op,_errmsg); #ifdef DBUG cout <<"status=" << status << endl; #endif @@ -327,28 +346,33 @@ int ClassEngine::computeCls(){ int ClassEngine::freeStructs(){ - - + + + if (distortions_free(&sd) == _FAILURE_) { + printf("\n\nError in distortions_free \n=>%s\n",sd.error_message); + return _FAILURE_; + } + if (lensing_free(&le) == _FAILURE_) { printf("\n\nError in spectra_free \n=>%s\n",le.error_message); return _FAILURE_; } - + if (nonlinear_free(&nl) == _FAILURE_) { printf("\n\nError in nonlinear_free \n=>%s\n",nl.error_message); return _FAILURE_; } - + if (spectra_free(&sp) == _FAILURE_) { printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); return _FAILURE_; } - + if (primordial_free(&pm) == _FAILURE_) { printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); return _FAILURE_; } - + if (transfer_free(&tr) == _FAILURE_) { printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); return _FAILURE_; @@ -372,13 +396,103 @@ ClassEngine::freeStructs(){ return _SUCCESS_; } +void ClassEngine::call_perturb_sources_at_tau( + int index_md, + int index_ic, + int index_tp, + double tau, + double * psource + ) { + if( perturb_sources_at_tau( &pt, index_md, index_ic, index_tp, tau, psource ) == _FAILURE_){ + cerr << ">>>fail getting Tk type=" << (int)index_tp <& k, + std::vector& d_cdm, + std::vector& d_b, + std::vector& d_ncdm, + std::vector& d_tot, + std::vector& t_cdm, + std::vector& t_b, + std::vector& t_ncdm, + std::vector& t_tot ) +{ + + if (!dofree) throw out_of_range("no Tk available because CLASS failed"); + + double tau; + int index; + //transform redshift in conformal time + background_tau_of_z(&ba,z,&tau); + + if(log(tau) < pt.ln_tau[0]){ + cerr << "Asking sources at a z bigger than z_max_pk, something probably went wrong\n"; + throw out_of_range(pt.error_message); + } + + double *pvecback=new double[ba.bg_size]; + background_at_tau(&ba,tau,long_info,inter_normal, &index, pvecback); + double fHa = pvecback[ba.index_bg_f] * (pvecback[ba.index_bg_a]*pvecback[ba.index_bg_H]); + delete[] pvecback; + + // copy transfer func data to temporary + const size_t index_md = pt.index_md_scalars; + d_cdm.assign( pt.k_size[index_md], 0.0 ); + d_b.assign( pt.k_size[index_md], 0.0 ); + d_ncdm.assign( pt.k_size[index_md], 0.0 ); + d_tot.assign( pt.k_size[index_md], 0.0 ); + t_cdm.assign( pt.k_size[index_md], 0.0 ); + t_b.assign( pt.k_size[index_md], 0.0 ); + t_ncdm.assign( pt.k_size[index_md], 0.0 ); + t_tot.assign( pt.k_size[index_md], 0.0 ); + + if( pt.ic_size[index_md] > 1 ){ + cerr << ">>>have more than 1 ICs, will use first and ignore others" << endl; + } + + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_delta_cdm, tau, &d_cdm[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_delta_b, tau, &d_b[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_delta_ncdm1, tau, &d_ncdm[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_delta_tot, tau, &d_tot[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_theta_b, tau, &t_b[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_theta_ncdm1, tau, &t_ncdm[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_theta_tot, tau, &d_tot[0]); + + // + std::vector h_prime(pt.k_size[index_md],0.0), eta_prime(pt.k_size[index_md],0.0); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_eta_prime, tau, &eta_prime[0]); + call_perturb_sources_at_tau(index_md, 0, pt.index_tp_h_prime, tau, &h_prime[0]); + + // gauge trafo velocities, store k-vector + for (int index_k=0; index_k(l),cl) == _FAILURE_){ - cerr << ">>>fail getting Cl type=" << (int)t << " @l=" << l <>>fail getting Cl type=" << (int)t << " @l=" << l <& lvec, //input - std::vector& cltt, - std::vector& clte, - std::vector& clee, +void +ClassEngine::getCls(const std::vector& lvec, //input + std::vector& cltt, + std::vector& clte, + std::vector& clee, std::vector& clbb) { cltt.resize(lvec.size()); clte.resize(lvec.size()); clee.resize(lvec.size()); clbb.resize(lvec.size()); - + for (size_t i=0;i& lvec, //input } } - -bool -ClassEngine::getLensing(const std::vector& lvec, //input - std::vector& clpp , - std::vector& cltp , + +bool +ClassEngine::getLensing(const std::vector& lvec, //input + std::vector& clpp , + std::vector& cltp , std::vector& clep ){ - + clpp.resize(lvec.size()); cltp.resize(lvec.size()); clep.resize(lvec.size()); - + for (size_t i=0;ilong_info,pba->inter_normal,&last_index,pvecback); spectra_sigma(&ba,&pm,&sp,8./ba.h,z,&sigma8); @@ -521,7 +635,8 @@ double ClassEngine::get_Az(double z) double Dv = get_Dv(z); // A(z)=100DV(z)sqrt(~mh2)/cz double omega_bidon = 0.12 ; - double Az = 100.*Dv*sqrt(omega_bidon)/(3.e8*z); // is there speed of light somewhere ? + double Az = 100.*Dv*sqrt(omega_bidon)/(3.e8*z); // is there speed of light somewhere ? + return Az; } // -------------------------- @@ -533,12 +648,11 @@ double ClassEngine::get_Dv(double z) //transform redshift in conformal time background_tau_of_z(&ba,z,&tau); - //pvecback must be allocated + //pvecback must be allocated pvecback=(double *)malloc(ba.bg_size*sizeof(double)); //call to fill pvecback - background_at_tau(&ba,tau,ba.long_info,ba.inter_normal, &index, pvecback); - + background_at_tau(&ba,tau,long_info,inter_normal, &index, pvecback); double H_z=pvecback[ba.index_bg_H]; double D_ang=pvecback[ba.index_bg_ang_distance]; @@ -564,11 +678,11 @@ double ClassEngine::get_Fz(double z) //transform redshift in conformal time background_tau_of_z(&ba,z,&tau); - //pvecback must be allocated + //pvecback must be allocated pvecback=(double *)malloc(ba.bg_size*sizeof(double)); //call to fill pvecback - background_at_tau(&ba,tau,ba.long_info,ba.inter_normal, &index, pvecback); + background_at_tau(&ba,tau,long_info,inter_normal, &index, pvecback); double H_z=pvecback[ba.index_bg_H]; @@ -577,7 +691,7 @@ double ClassEngine::get_Fz(double z) cout << "H_z= "<< H_z < -#include +#include +#include #include using namespace std; @@ -11,14 +11,12 @@ using namespace std; // example run: one can specify as a second argument a preicison file int main(int argc,char** argv){ - - //jusqu'a ou en l + const int l_max_scalars=1200; //CLASS config ClassParams pars; - - //pars.add("H0",70.3); + pars.add("100*theta_s",1.04); pars.add("omega_b",0.0220); pars.add("omega_cdm",0.1116); @@ -33,26 +31,40 @@ int main(int argc,char** argv){ pars.add("l_max_scalars",l_max_scalars); pars.add("lensing",true); //note boolean + pars.add("background_verbose",1); + pars.add("thermodynamics_verbose",1); + pars.add("perturbations_verbose",1); + pars.add("transfer_verbose",1); + pars.add("primordial_verbose",1); + pars.add("spectra_verbose",1); + pars.add("nonlinear_verbose",1); + pars.add("lensing_verbose",1); - ClassEngine* KKK(0); + ClassEngine* tKlass(0); try{ //le calculateur de spectres if (argc==2){ string pre=string(argv[1]); - KKK=new ClassEngine(pars,pre); + tKlass=new ClassEngine(pars,pre); } else{ - KKK=new ClassEngine(pars); + tKlass=new ClassEngine(pars); } - - cout.precision( 16 ); - KKK->writeCls(cout); + + //cout.precision( 16 ); + //tKlass->writeCls(cout); + + ofstream outfile; + const char* outfile_name = "testKlass_Cl_lensed.dat"; + outfile.open(outfile_name, ios::out | ios::trunc ); + tKlass->writeCls(outfile); + cout << "Cl's written in file " << outfile_name << endl; } catch (std::exception &e){ - cout << "GIOSH" << e.what() << endl; + cout << "GOSH" << e.what() << endl; } - delete KKK; + delete tKlass; } diff --git a/default.ini b/default.ini new file mode 100644 index 00000000..4ee76f81 --- /dev/null +++ b/default.ini @@ -0,0 +1,199 @@ +# *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* +# * CLASS input parameter file * +# *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* + +# This example of input file, intended for CLASS beginners, lists only +# the most common input parameters with small comments. Only lines +# containing an equal sign not preceded by a sharp sign "#" are considered by +# the code, any other line is considered as a comment. +# +# The normal syntax is: parameter = value(s) + + +# ------------------------- +# ----> General parameters: +# ------------------------- + +# REQUESTED OUTPUT FROM CLASS (Important!) +# - 'tCl' for temperature Cls, +# - 'pCl' for polarization (TE,BB,EE) Cls, +# - 'lCl' for CMB lensing POTENTIAL Cl (Cl^psi-psi, required for lensed Cls), +# - 'nCl' (or 'dCl') for density number count Cls, +# - 'sCl' for galaxy lensing potential Cls (Cl^phi-phi), +# - 'mPk' for total matter power spectrum P(k), +# - 'dTk' for density transfer functions, +# - 'vTk' for velocity transfer functions, +# - 'Sd' for spectral distortions +# --> deflection d: Cl^dd = l(l+1) C_l^phi-phi +# --> convergence kappa and shear gamma: the share the same harmonic +# power spectrum: Cl^gamma-gamma = 1/4 * [(l+2)!/(l-2)!] C_l^phi-phi +output = tCl,pCl,lCl,mPk +#output = tCl,pCl,lCl +#output = mPk,mTk +#output = Sd + +lensing = yes # Should the Cls from above be lensed for CMB? +lcmb_rescale = 1 # Amplitude rescale of lensing only +lcmb_tilt = 0 # CMB l tilt of lensing +lcmb_pivot = 0.1 # CMB l pivot of lensing + +non_linear = # Select 'halofit' or 'HMCode' or leave blank + +ic = ad # Select initial conditions +#(ad,bi,cdi,nid,nvi) -> (adiabatic,baryon,cdm,neutrino density,neutrino velocity) +modes = s # Modes of the perturbations +# (s,v,t) -> (scalar,vector,tensor) + +#number_count_contributions = # nCl contributions +#(density,lensing,rsd,gr) -> (density, lensing, rsd+doppler, all others) +#selection=gaussian # nCl window function type +#selection_mean=1.0,1.25,2.0,3.5 # Mean redshifts of nCl window functions +#selection_width = 0.1 # Widths of nCl window functions +#selection_bias = # Biases of nCl window functions +#selection_magnification_bias = # Biases of lensing of nCl +#non_diagonal=3 # Number of non-diagonal terms + +l_max_scalars = 2500 # lmax of CMB for scalar mode +#l_max_tensors = 500 # lmax of CMB for tensor mode +#l_max_lss = 300 # lmax of nCl + +P_k_max_h/Mpc = 1. # Maximum k for P(k) in 1/Mpc +#P_k_max_1/Mpc = 0.7 # Maximum k for P(k) in h/Mpc +z_pk = 0 # Redshifts of P(k,z) + +# ---------------------------- +# ----> Cosmological parameters: +# ---------------------------- + +h = 0.67810 # Dimensionless reduced Hubble parameter (H_0 / (100km/s/Mpc)) +#H0 = 67.810 # Hubble parameter in km/s/Mpc +#100*theta_s = 1.041783 # Angular size of the sound horizon, exactly 100(ds_dec/da_dec) + # with decoupling time given by maximum of visibility function + # (different from theta_MC of CosmoMC and + # slightly different from theta_* of CAMB) +T_cmb = 2.7255 # CMB temperature + +omega_b = 0.02238280 # Reduced baryon density (Omega*h^2) +#Omega_b = # Baryon density +omega_cdm = 0.1201075 # Reduced cold dark matter density (Omega*h^2) +#Omega_cdm = # CDM density +omega_dcdmdr = 0.0 # Reduced decaying dark matter density (Omega*h^2) +#Omega_dcdmdr = # DCDM density +#Gamma_dcdm = 0.0 # Decay constant of DCDM in km/s/Mpc +Omega_k = 0. # Curvature density +Omega_fld = 0 # Dark Energy as Fluid density +Omega_scf = 0 # Dark Energy as Scalar field density + +# Usually Omega_Lambda will be matched by the budget equation sum Omega_i = 1, no need to set it manually +#Omega_Lambda = 0.7 # Cosmological constant density + + +# If you have respectively 0,1,2, or 3 MASSIVE neutrinos and the default T_ncdm of 0.71611, +# designed to give M_tot/omega_nu of 93.14 eV, and if you want N_eff equal to 3.044, +# then you should pass for N_ur 3.044,2.0308,1.0176, or 0.00441 +N_ur = 3.044 # Effective number of MASSLESS neutrino species +#Omega_ur = # Reduced MASSLESS neutrino density (Omega*h^2) +#omega_ur = # MASSLESS neutrino density + +N_ncdm = # Massive neutrino species +#m_ncdm = 0.06 # Mass of the massive neutrinos +#omega_ncdm = 0.0006451439 # Reduced massive neutrino density (Omega*h^2) +#Omega_ncdm = # Massive neutrino density +#deg_ncdm = # Degeneracy of massive neutrinos + + +### For Omega_fld != 0 +# Chevalier-Linder-Polarski => CLP +# Early Dark Energy => EDE +#fluid_equation_of_state = CLP + +#CLP case +#w0_fld = -0.9 +#wa_fld = 0. +#cs2_fld = 1 +#EDE case +#w0_fld = -0.9 +#Omega_EDE = 0. +#cs2_fld = 1 + +# ---------------------------- +# ----> Thermodynamics/Heating parameters: +# ---------------------------- + +# Infer YHe from BBN. Alternatively provide your own number here +YHe = BBN +# Recombination code : 'RECFAST' or 'HyRec' +recombination = HyRec + +z_reio = 7.6711 # Redshift of reionization +#tau_reio = 0.05430842 # Optical depth of reionization + +reio_parametrization = reio_camb +reionization_exponent = 1.5 +reionization_width = 0.5 +helium_fullreio_redshift = 3.5 +helium_fullreio_width = 0.5 + +### Energy injections +DM_annihilation_cross_section = 0.# Dark Matter annihilation cross section in [cm^3/s] +DM_annihilation_mass = 0. # Dark Matter mass in [GeV] +DM_decay_fraction = 0. # Dark Matter decay fraction +DM_decay_Gamma = 0. # Dark Matter decay width + +f_eff_type = on_the_spot # Injection efficiency +chi_type = CK_2004 # Deposition function + +# ---------------------------- +# ----> Primordial parameters: +# ---------------------------- + +P_k_ini type = analytic_Pk # Select primordial spectrum +#('analytic_Pk','inflation_V','inflation_H','inflation_V_end','two scales','external_Pk') +k_pivot = 0.05 # Pivot scale for A_s,n_s +A_s = 2.100549e-09 # Amplitude of prim spectrum +#ln10^{10}A_s = 3.0980 # ln Amplitude of prim spectrum +# sigma8 = 0.848365 # Final density averaged over 8 Mpc +n_s = 0.9660499 # Spectrum tilt +alpha_s = 0. # Spectrum running of tilt +#r = 1. # If tensors are activated +# See explanatory.ini for more information about all the different primordial spectra + +# --------------------------- +# ----> Spectral distortions: +# --------------------------- + +sd_branching_approx = exact # Appriximation for the calculation of the branching ratios +sd_PCA_size = 2 # Number of multipoles in PCA expansion +sd_detector_name = PIXIE # Name of the detector +#sd_detector_nu_min = 30. # Detector specifics +#sd_detector_nu_max = 1000. +#sd_detector_nu_delta = 15. +#sd_detector_bin_number = 65 # Alternative to 'sd_detector_nu_delta' +#sd_detector_delta_Ic = 5.e-26 + +#include_SZ_effect = no + +# ---------------------------------- +# ----> Output parameters: +# ---------------------------------- + +#root = output/default # Root name of output files +overwrite_root = no # Overwrite the output files? +write_background = no # Write background parameter table +write_thermodynamics = no # Write thermodynamics parameter table +#k_output_values = 1e-3,1e-2 # Write perturbations parameter table (at given k) +write_primordial = no # Write primordial parameter table +write_parameters = yeap # Write used/unused parameter files +write_warnings = yes # Warn about forgotten/wrong inputs + +#Verbosity +input_verbose = 1 +background_verbose = 1 +thermodynamics_verbose = 1 +perturbations_verbose = 1 +transfer_verbose = 1 +primordial_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 +lensing_verbose = 1 +output_verbose = 1 diff --git a/doc/README b/doc/README index 4cdfd786..71313830 100644 --- a/doc/README +++ b/doc/README @@ -6,10 +6,8 @@ CLASS automatic documentation folders doc/manual/CLASS_MANUAL.pdf -* or you can open the html version (actually nicer) with your browser: just open the file - - doc/manual/html/index.html - * the files in doc/input/ are auxiliary files for generating it * if you wish to update this manual yourself using doxygen, look at instructions in section 6 of CLASS_MANUAL.pdf + +* there is also an html version that you can access from the CLASS webpages. The html version used to be distributed together with CLASS, but we removed it because the html directory was too big. If you do wish to get the html source files on your own computer, you just need to recompile the manual with "cd doc/input/; ./make1.sh" (assuming that you have doxygen installed). \ No newline at end of file diff --git a/doc/input/chap2.md b/doc/input/chap2.md index 244374bc..887b3f29 100644 --- a/doc/input/chap2.md +++ b/doc/input/chap2.md @@ -7,13 +7,9 @@ Author: Julien Lesgourgues * __For what the code can actually compute__: all possible input parameters, all coded cosmological models, all functionalities, all observables, etc.: read the file `explanatory.ini` in the main `CLASS` directory: it is THE reference file where we keep track of all possible input and the definition of all input parameters. For that reason we recommend to leave it always unchanged and to work with copies of it, or with short input files written from scratch. -* __For the structure, style, and concrete aspects of the code__: this documentation, especially the `CLASS overview` chapter (the extensive automatically-generated part of this documentation is more for advanced users); plus the slides of our `CLASS` lectures, for instance those from Tokyo 2014 available at +* __For the structure, style, and concrete aspects of the code__: this documentation, especially the `CLASS overview` chapter (the extensive automatically-generated part of this documentation is more for advanced users); plus the slides of our `CLASS` lectures, for instance those from New York 2019 available at - `http://lesgourg.github.io/class-tour-Tokyo.html` - - or the more recent and concise summary from the Narbonne 2016 lecture available at - - `http://lesgourg.github.io/class-tour/Narbonne.pdf` + `https://lesgourg.github.io/class-tour-NewYork.html` An updated overview of available `CLASS` lecture slides is always available at @@ -22,11 +18,9 @@ Author: Julien Lesgourgues in the section `Courses on numerical tools`. -* __For the python wrapper of `CLASS`__: at the moment, the best are the last slides (pages 75-96) of the Narbonne 2016 lectures - - `http://lesgourg.github.io/class-tour/Narbonne.pdf` +* __For the python wrapper of `CLASS`__: at the moment, the best are the "Usage I" and "Usage II" slides of the New York 2019 course, - Later we will expand the wrapper documentation with a dedicated chapter here. + `https://lesgourg.github.io/class-tour-NewYork.html` * __For the physics and equations used in the code__: mainly, the following papers: - *Cosmological perturbation theory in the synchronous and conformal Newtonian gauges* @@ -89,7 +83,23 @@ Author: Julien Lesgourgues JCAP __1311__, 044 (2013) - plus also some latex notes on specific sectors: + - *The synergy between CMB spectral distortions and anisotropies* + + M. Lucca, N. Schöneberg, D. C. Hooper, J. Lesgourgues, J. Chluba. + + http://arxiv.org/abs/1910.04619 [astro-ph.CO] + + JCAP 02 (2020) 026 + + - *Optimal Boltzmann hierarchies with nonvanishing spatial curvature* + + C. Pitrou, T. S. Pereira, J. Lesgourgues, + + http://arxiv.org/abs/2005.12119 [astro-ph.CO] + + Phys.Rev.D 102 (2020) 2, 023511 + + Plus also some latex notes on specific sectors: - *Equations for perturbed recombination* @@ -105,4 +115,24 @@ Author: Julien Lesgourgues T. Tram. - http://lesgourg.github.io/class_public/PPF_formalism.pdf \ No newline at end of file + http://lesgourg.github.io/class_public/PPF_formalism.pdf + + Interactions between idm and idr are modelled by the ETHOS formalism of Cyr-Racine et al. [1512.05344]. This was introduced in Class v2.9 with a parametrisation described in + + - *Constraining Dark Matter-Dark Radiation interactions with CMB, BAO, and Lyman-alpha* + + M. Archidiacono, D. C. Hooper, R. Murgia, S. Bohr, J. Lesgourgues, M. Viel + + http://arxiv.org/abs/1907.01496 [astro-ph.CO] + + JCAP 10 (2019) 055 + + In Class v3.2, this sector has been generalised to multi-interacting dark matter with three interaction channels (dark radiation, baryons, photons) and a parametrisation described in + + - *Cosmological constraints on multi-interacting dark matter* + + N. Becker, D. C. Hooper,F. Kahlhoefer, J. Lesgourgues, N. Schöneberg + + http://arxiv.org/abs/2010.04074 [astro-ph.CO] + + JCAP 02 (2021) 019 diff --git a/doc/input/chap3.md b/doc/input/chap3.md index 1e79b6b5..884b25a1 100644 --- a/doc/input/chap3.md +++ b/doc/input/chap3.md @@ -10,9 +10,9 @@ Author: Julien Lesgourgues After downloading `CLASS`, one can see the following files in the root directory contains: -- some example of input files, the most important being `explanatory.ini`. a reference input file containing all possible flags, options and physical input parameters. While this documentation explains the structure and use of the code, `explanatory.ini` can be seen as the _physical_ documentation of `CLASS`. The other input file are alternative parameter input files (ending with `.ini`) and precision input files (ending with `.pre`) +- some example of input files, the most important being `explanatory.ini`. a reference input file containing all possible flags, options and physical input parameters. While this documentation explains the structure and use of the code, `explanatory.ini` can be seen as the _physical_ documentation of `CLASS`. We also provide a few other input files ending with `.ini` (a concise input file `default.ini` with the most used parameters, and two files corresponding to the best-fit baseline models of respectively Planck 2015 and 2018), and a few precision input files (ending with `.pre`) -- the `Makefile`, with which you can compile the code by typing `make clean; make;` this will create the executable `class` and some binary files in the directory `build/`. The `Makefile` contains other compilation options that you can view inside the file. +- the `Makefile`, with which you can compile the code by typing `make clean; make -j;` this will create the executable `class` and some binary files in the directory `build/`. The `Makefile` contains other compilation options that you can view inside the file. - `CPU.py` is a python script designed for plotting the `CLASS` output; for documentation type `python CPU.py --help` @@ -22,7 +22,7 @@ After downloading `CLASS`, one can see the following files in the root directory Other files are split between the following directories: -- `source/` contains the C files for each `CLASS` module, i.e. each +- `source/` contains the C files for each main `CLASS` module, i.e. each block containing some part of the physical equations and logic of the Boltzmann code. @@ -47,12 +47,21 @@ it can be interfaced with other codes, etc. - `doc/` contains the automatic documentation (manual and input files required to build it) -- `external_Pk/` contains examples of external codes that can be used to generate the primordial spectrum and be interfaced with `CLASS`, when one of the many options already built inside the code are not sufficient. +- `external/` contains auxiliary or external algorithms used by `CLASS`, in particular: -- `bbn/` contains interpolation tables produced by BBN codes, in order to predict e.g. \f$ Y_\mathrm{He}(\omega_b, \Delta N_\mathrm{eff})\f$. +- `external/hyrec/` contains the recombination code HyRec (Lee and Ali-Haimoud 2020) that solves the recombinaiton equations by default. -- `hyrec/` contains the recombination code HyRec of Yacine Ali-Haimoud and Chris Hirata, that can be used as an alternative to the built-in Recfast (using the input parameter `recombination = <...>`). +- `external/RecfastCLASS/` contains an modified version of the recombinaiton code RECFAST v1.5. It can be used as an alternative to solve the recombinaiton equations (with `recombination=recfast'). +- `external/heating/` contains additional peices of code and interpolation tables for the calculation of energy injection (relevant for CMB anisotropies and spectral distorsions). + +- `external/distortions/` contains interpolation tables relevant for the calculation of CMB spectral distortions with J.Chluba's Green function method. + +- `external/bbn/` contains interpolation tables produced by BBN codes, in order to predict e.g. \f$ Y_\mathrm{He}(\omega_b, \Delta N_\mathrm{eff})\f$. + +- `external/external_Pk/` contains examples of external codes that can be used to generate the primordial spectrum and be interfaced with `CLASS`, when one of the many options already built inside the code are not sufficient. + +- `external/RealSpaceInterface` contains a software that uses `CLASS` to plot the eockution of linear perturabtions in reals space, with a graphical interface (credits M. Beutelspacher and G. Samaras). ## The ten-module backbone ## @@ -70,16 +79,17 @@ The purpose of `class` consists in computing some background quantities, thermod 5. compute the primordial spectra. -6. eventually, compute non-linear corrections at small redshift/large wavenumber. +6. compute the linear and non-linear 2-point statistics in Fourier space (i.e. the power spectra \f$P(k)\f$). -7. compute transfer functions in harmonic space \f$\Delta_l(k)\f$ (unless one needs only Fourier spectra \f$P(k)\f$'s and no harmonic spectra \f$C_l\f$'s). +7. compute the transfer functions in harmonic space \f$\Delta_l(k)\f$. -8. compute the observable power spectra \f$C_l\f$'s (by convolving the primordial spectra and the harmonic transfer functions) and/or \f$P(k)\f$'s (by multiplying the primordial spectra and the appropriate source functions \f$S(k,\tau)\f$). +8. compute the linear and non-linear 2-point statistics in harmonic space (harmonic power spectra \f$C_l\f$'s). -9. eventually, compute the lensed CMB spectra (using second-order perturbation theory) +9. compute the lensed CMB spectra (using second-order perturbation theory). -10. write results in files (when `CLASS` is used interactively. The python wrapper does not go through this step, after 1.-9. it just keeps the output stored internally). +10. compute the CMB spectral distortions. +(11. The results can optionally be written in files when `CLASS` is used interactively. The python wrapper does not go through this step.) ### Ten structures ### @@ -87,21 +97,23 @@ In `class`, each of these steps is associated with a structure: 1. `struct precision` for input precision parameters (input physical parameters are dispatched among the other structures listed below) 2. `struct background` for cosmological background, -3. `struct thermo` for thermodynamics, -4. `struct perturbs` for source functions, +3. `struct thermodynamics` for thermodynamics, +4. `struct perturbations` for source functions, 5. `struct primordial` for primordial spectra, -6. `struct nonlinear` for nonlinear corrections, -7. `struct transfers` for transfer functions, -8. `struct spectra` for observable spectra, +6. `struct fourier` for Fourier spectra, +7. `struct transfer` for transfer functions, +8. `struct harmonic` for harmonic spectra, 9. `struct lensing` for lensed CMB spectra, -10. `struct output` for auxiliary variable describing the output format. +10. `struct distortions` for CMB spectral distortions, + +(11. `struct output` for auxiliary variable describing the output format.) A given structure contains "everything concerning one step that the -subsequent steps need to know" (for instance, `struct perturbs` contains everything about source +subsequent steps need to know" (for instance, `struct perturbations` contains everything about source functions that the transfer module needs to know). In particular, each structure contains one array of tabulated values (for `struct background`, background -quantities as a function of time, for `struct thermo`, thermodynamical quantities as a -function of redshift, for `struct perturbs`, sources \f$S(k, \tau)\f$, etc.). It +quantities as a function of time, for `struct thermodynamics`, thermodynamical quantities as a +function of redshift, for `struct perturbations`, sources \f$S(k, \tau)\f$, etc.). It also contains information about the size of this array and the value of the index of each physical quantity, so that the table can be easily read and interpolated. Finally, it contains any derived @@ -123,12 +135,13 @@ Each structure is defined and filled in one of the following modules 3. `thermodynamics.c` 4. `perturbations.c ` 5. `primordial.c` -6. `nonlinear.c` +6. `fourier.c` 7. `transfer.c` -8. `spectra.c` +8. `harmonic.c` 9. `lensing.c` -10. `output.c` +10. `distortions.c` +(11. `output.c`) Each of these modules contains at least three functions: @@ -138,7 +151,7 @@ Each of these modules contains at least three functions: - `module_something_at_somevalue` -where _module_ is one of `input, background, thermodynamics, perturb, primordial, nonlinear, transfer, spectra, lensing, output`. +where _module_ is one of `input, background, thermodynamics, perturb, primordial, nonlinear, transfer, spectra, lensing, distortions, output`. The first function allocates and fills each structure. This can be @@ -183,58 +196,64 @@ following lines struct background ba; - struct thermo th; + struct thermodynamics th; - struct perturbs pt; + struct perturbations pt; struct primordial pm; - struct nonlinear nl; + struct fourier fo; - struct transfers tr; + struct transfer tr; - struct spectra sp; + struct harmonic hr; struct lensing le; + struct distortions sd; + struct output op; - input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg); + input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg); background_init(&pr,&ba); thermodynamics_init(&pr,&ba,&th); - perturb_init(&pr,&ba,&th,&pt); + perturbations_init(&pr,&ba,&th,&pt); primordial_init(&pr,&pt,&pm); - nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl); + fourier_init(&pr,&ba,&th,&pt,&pm,&fo); - transfer_init(&pr,&ba,&th,&pt,&nl,&tr); + transfer_init(&pr,&ba,&th,&pt,&fo,&tr); - spectra_init(&pr,&ba,&pt,&pm,&nl,&tr,&sp); + harmonic_init(&pr,&ba,&pt,&pm,&fo,&tr,&hr); - lensing_init(&pr,&pt,&sp,&nl,&le); + lensing_init(&pr,&pt,&hr,&fo,&le); - output_init(&ba,&th,&pt,&pm,&tr,&sp,&nl,&le,&op) + distortions_init(&pr,&ba,&th,&pt,&pm,&sd); + + output_init(&ba,&th,&pt,&pm,&tr,&hr,&fo,&le,&op) /****** done ******/ + distortions_free(&sd); + lensing_free(&le); - spectra_free(&sp); + harmonic_free(&hr); transfer_free(&tr); - nonlinear_free(&nl); + fourier_free(&fo); primordial_free(&pm); - perturb_free(&pt); + perturbations_free(&pt); thermodynamics_free(&th); @@ -245,7 +264,7 @@ We can come back on the role of each argument. The arguments above are all point `input_init_from_arguments` needs all structures, because it will set the precision parameters inside the `precision` structure, and the physical parameters in some fields of the respective other structures. For instance, an input parameter relevant for the primordial spectrum calculation (like the tilt \f$n_s\f$) will be stored in the `primordial` structure. Hence, in ` input_init_from_arguments`, all structures can be seen as output arguments. -Other `module_init()` functions typically need all previous structures, which contain the result of the previous modules, plus its own structures, which contain some relevant input parameters before the function is called, as well as all the result form the module when the function has been executed. Hence all passed structures can be seen as input argument, excepted the last one which is both input and output. An example is `perturb_init(&pr,&ba,&th,&pt)`. +Other `module_init()` functions typically need all previous structures, which contain the result of the previous modules, plus its own structures, which contain some relevant input parameters before the function is called, as well as all the result form the module when the function has been executed. Hence all passed structures can be seen as input argument, excepted the last one which is both input and output. An example is `perturbations_init(&pr,&ba,&th,&pt)`. Each function `module_init()` does not need __all__ previous structures, it happens that a module does not depend on a __all__ previous one. For instance, the primordial module does not need information on the background and thermodynamics evolution in order to compute the primordial spectra, so the dependency is reduced: `primordial_init(&pr,&pt,&pm)`. diff --git a/doc/input/doxyconf b/doc/input/doxyconf index 9758e0aa..1ad9b48e 100644 --- a/doc/input/doxyconf +++ b/doc/input/doxyconf @@ -1,4 +1,4 @@ -# Doxyfile 1.8.9.1 +# Doxyfile 1.9.1 # This file describes the settings to be used by the documentation system # doxygen (www.doxygen.org) for a project. @@ -17,11 +17,11 @@ # Project related configuration options #--------------------------------------------------------------------------- -# This tag specifies the encoding used for all characters in the config file -# that follow. The default is UTF-8 which is also the encoding used for all text -# before the first occurrence of this tag. Doxygen uses libiconv (or the iconv -# built into libc) for the transcoding. See http://www.gnu.org/software/libiconv -# for the list of possible encodings. +# This tag specifies the encoding used for all characters in the configuration +# file that follow. The default is UTF-8 which is also the encoding used for all +# text before the first occurrence of this tag. Doxygen uses libiconv (or the +# iconv built into libc) for the transcoding. See +# https://www.gnu.org/software/libiconv/ for the list of possible encodings. # The default value is: UTF-8. DOXYFILE_ENCODING = UTF-8 @@ -93,6 +93,14 @@ ALLOW_UNICODE_NAMES = YES OUTPUT_LANGUAGE = English +# The OUTPUT_TEXT_DIRECTION tag is used to specify the direction in which all +# documentation generated by doxygen is written. Doxygen will use this +# information to generate all generated output in the proper direction. +# Possible values are: None, LTR, RTL and Context. +# The default value is: None. + +OUTPUT_TEXT_DIRECTION = None + # If the BRIEF_MEMBER_DESC tag is set to YES, doxygen will include brief member # descriptions after the members that are listed in the file and class # documentation (similar to Javadoc). Set to NO to disable this. @@ -152,7 +160,7 @@ FULL_PATH_NAMES = NO # will be relative from the directory where doxygen is started. # This tag requires that the tag FULL_PATH_NAMES is set to YES. -STRIP_FROM_PATH = +STRIP_FROM_PATH = # The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of the # path mentioned in the documentation of a class, which tells the reader which @@ -179,6 +187,16 @@ SHORT_NAMES = NO JAVADOC_AUTOBRIEF = NO +# If the JAVADOC_BANNER tag is set to YES then doxygen will interpret a line +# such as +# /*************** +# as being the beginning of a Javadoc-style comment "banner". If set to NO, the +# Javadoc-style will behave just like regular comments and it will not be +# interpreted by doxygen. +# The default value is: NO. + +JAVADOC_BANNER = NO + # If the QT_AUTOBRIEF tag is set to YES then doxygen will interpret the first # line (until the first dot) of a Qt-style comment as the brief description. If # set to NO, the Qt-style will behave just like regular Qt-style comments (thus @@ -199,6 +217,14 @@ QT_AUTOBRIEF = NO MULTILINE_CPP_IS_BRIEF = NO +# By default Python docstrings are displayed as preformatted text and doxygen's +# special commands cannot be used. By setting PYTHON_DOCSTRING to NO the +# doxygen's special commands can be used and the contents of the docstring +# documentation blocks is shown as doxygen documentation. +# The default value is: YES. + +PYTHON_DOCSTRING = YES + # If the INHERIT_DOCS tag is set to YES then an undocumented member inherits the # documentation from any documented member that it re-implements. # The default value is: YES. @@ -226,16 +252,15 @@ TAB_SIZE = 4 # will allow you to put the command \sideeffect (or @sideeffect) in the # documentation, which will result in a user-defined paragraph with heading # "Side Effects:". You can put \n's in the value part of an alias to insert -# newlines. +# newlines (in the resulting output). You can put ^^ in the value part of an +# alias to insert a newline as if a physical newline was in the original file. +# When you need a literal { or } or , in the value part of an alias you have to +# escape them by means of a backslash (\), this can lead to conflicts with the +# commands \{ and \} for these it is advised to use the version @{ and @} or use +# a double escape (\\{ and \\}) ALIASES = -# This tag can be used to specify a number of word-keyword mappings (TCL only). -# A mapping has the form "name=value". For example adding "class=itcl::class" -# will allow you to use the command class in the itcl::class meaning. - -TCL_SUBST = - # Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C sources # only. Doxygen will then generate output that is more tailored for C. For # instance, some of the names that are used will be different. The list of all @@ -264,28 +289,40 @@ OPTIMIZE_FOR_FORTRAN = NO OPTIMIZE_OUTPUT_VHDL = NO +# Set the OPTIMIZE_OUTPUT_SLICE tag to YES if your project consists of Slice +# sources only. Doxygen will then generate output that is more tailored for that +# language. For instance, namespaces will be presented as modules, types will be +# separated into more groups, etc. +# The default value is: NO. + +OPTIMIZE_OUTPUT_SLICE = NO + # Doxygen selects the parser to use depending on the extension of the files it # parses. With this tag you can assign which parser to use for a given # extension. Doxygen has a built-in mapping, but you can override or extend it # using this tag. The format is ext=language, where ext is a file extension, and -# language is one of the parsers supported by doxygen: IDL, Java, Javascript, -# C#, C, C++, D, PHP, Objective-C, Python, Fortran (fixed format Fortran: -# FortranFixed, free formatted Fortran: FortranFree, unknown formatted Fortran: -# Fortran. In the later case the parser tries to guess whether the code is fixed -# or free formatted code, this is the default for Fortran type files), VHDL. For -# instance to make doxygen treat .inc files as Fortran files (default is PHP), -# and .f files as C (default is Fortran), use: inc=Fortran f=C. +# language is one of the parsers supported by doxygen: IDL, Java, JavaScript, +# Csharp (C#), C, C++, D, PHP, md (Markdown), Objective-C, Python, Slice, VHDL, +# Fortran (fixed format Fortran: FortranFixed, free formatted Fortran: +# FortranFree, unknown formatted Fortran: Fortran. In the later case the parser +# tries to guess whether the code is fixed or free formatted code, this is the +# default for Fortran type files). For instance to make doxygen treat .inc files +# as Fortran files (default is PHP), and .f files as C (default is Fortran), +# use: inc=Fortran f=C. # # Note: For files without extension you can use no_extension as a placeholder. # # Note that for custom extensions you also need to set FILE_PATTERNS otherwise -# the files are not read by doxygen. +# the files are not read by doxygen. When specifying no_extension you should add +# * to the FILE_PATTERNS. +# +# Note see also the list of default file extension mappings. EXTENSION_MAPPING = # If the MARKDOWN_SUPPORT tag is enabled then doxygen pre-processes all comments # according to the Markdown format, which allows for more readable -# documentation. See http://daringfireball.net/projects/markdown/ for details. +# documentation. See https://daringfireball.net/projects/markdown/ for details. # The output of markdown processing is further processed by doxygen, so you can # mix doxygen, HTML, and XML commands with Markdown formatting. Disable only in # case of backward compatibilities issues. @@ -293,6 +330,15 @@ EXTENSION_MAPPING = MARKDOWN_SUPPORT = YES +# When the TOC_INCLUDE_HEADINGS tag is set to a non-zero value, all headings up +# to that level are automatically included in the table of contents, even if +# they do not have an id attribute. +# Note: This feature currently applies only to Markdown headings. +# Minimum value: 0, maximum value: 99, default value: 5. +# This tag requires that the tag MARKDOWN_SUPPORT is set to YES. + +TOC_INCLUDE_HEADINGS = 5 + # When enabled doxygen tries to link words that correspond to documented # classes, or namespaces to their corresponding documentation. Such a link can # be prevented in individual cases by putting a % sign in front of the word or @@ -318,7 +364,7 @@ BUILTIN_STL_SUPPORT = YES CPP_CLI_SUPPORT = NO # Set the SIP_SUPPORT tag to YES if your project consists of sip (see: -# http://www.riverbankcomputing.co.uk/software/sip/intro) sources only. Doxygen +# https://www.riverbankcomputing.com/software/sip/intro) sources only. Doxygen # will parse them like normal C++ but will assume all classes use public instead # of private inheritance when no explicit protection keyword is present. # The default value is: NO. @@ -343,6 +389,13 @@ IDL_PROPERTY_SUPPORT = YES DISTRIBUTE_GROUP_DOC = NO +# If one adds a struct or class to a group and this option is enabled, then also +# any nested class or struct is added to the same group. By default this option +# is disabled and one has to add nested compounds explicitly via \ingroup. +# The default value is: NO. + +GROUP_NESTED_COMPOUNDS = NO + # Set the SUBGROUPING tag to YES to allow class member groups of the same type # (for instance a group of public functions) to be put as a subgroup of that # type (e.g. under the Public Functions section). Set it to NO to prevent @@ -397,6 +450,19 @@ TYPEDEF_HIDES_STRUCT = YES LOOKUP_CACHE_SIZE = 0 +# The NUM_PROC_THREADS specifies the number threads doxygen is allowed to use +# during processing. When set to 0 doxygen will based this on the number of +# cores available in the system. You can set it explicitly to a value larger +# than 0 to get more control over the balance between CPU load and processing +# speed. At this moment only the input processing can be done using multiple +# threads. Since this is still an experimental feature the default is set to 1, +# which efficively disables parallel processing. Please report any issues you +# encounter. Generating dot graphs in parallel is controlled by the +# DOT_NUM_THREADS setting. +# Minimum value: 0, maximum value: 32, default value: 1. + +NUM_PROC_THREADS = 1 + #--------------------------------------------------------------------------- # Build related configuration options #--------------------------------------------------------------------------- @@ -417,6 +483,12 @@ EXTRACT_ALL = NO EXTRACT_PRIVATE = NO +# If the EXTRACT_PRIV_VIRTUAL tag is set to YES, documented private virtual +# methods of a class will be included in the documentation. +# The default value is: NO. + +EXTRACT_PRIV_VIRTUAL = NO + # If the EXTRACT_PACKAGE tag is set to YES, all members with package or internal # scope will be included in the documentation. # The default value is: NO. @@ -454,6 +526,13 @@ EXTRACT_LOCAL_METHODS = NO EXTRACT_ANON_NSPACES = NO +# If this flag is set to YES, the name of an unnamed parameter in a declaration +# will be determined by the corresponding definition. By default unnamed +# parameters remain unnamed in the output. +# The default value is: YES. + +RESOLVE_UNNAMED_PARAMS = YES + # If the HIDE_UNDOC_MEMBERS tag is set to YES, doxygen will hide all # undocumented members inside documented classes or files. If set to NO these # members will be included in the various overviews, but no documentation @@ -471,8 +550,8 @@ HIDE_UNDOC_MEMBERS = YES HIDE_UNDOC_CLASSES = YES # If the HIDE_FRIEND_COMPOUNDS tag is set to YES, doxygen will hide all friend -# (class|struct|union) declarations. If set to NO, these declarations will be -# included in the documentation. +# declarations. If set to NO, these declarations will be included in the +# documentation. # The default value is: NO. HIDE_FRIEND_COMPOUNDS = NO @@ -491,11 +570,18 @@ HIDE_IN_BODY_DOCS = NO INTERNAL_DOCS = NO -# If the CASE_SENSE_NAMES tag is set to NO then doxygen will only generate file -# names in lower-case letters. If set to YES, upper-case letters are also -# allowed. This is useful if you have classes or files whose names only differ -# in case and if your file system supports case sensitive file names. Windows -# and Mac users are advised to set this option to NO. +# With the correct setting of option CASE_SENSE_NAMES doxygen will better be +# able to match the capabilities of the underlying filesystem. In case the +# filesystem is case sensitive (i.e. it supports files in the same directory +# whose names only differ in casing), the option must be set to YES to properly +# deal with such files in case they appear in the input. For filesystems that +# are not case sensitive the option should be be set to NO to properly deal with +# output files written for symbols that only differ in casing, such as for two +# classes, one named CLASS and the other named Class, and to also support +# references to files without having to specify the exact matching casing. On +# Windows (including Cygwin) and MacOS, users should typically set this option +# to NO, whereas on Linux or other Unix flavors it should typically be set to +# YES. # The default value is: system dependent. CASE_SENSE_NAMES = YES @@ -682,7 +768,7 @@ LAYOUT_FILE = # The CITE_BIB_FILES tag can be used to specify one or more bib files containing # the reference definitions. This must be a list of .bib files. The .bib # extension is automatically appended if omitted. This requires the bibtex tool -# to be installed. See also http://en.wikipedia.org/wiki/BibTeX for more info. +# to be installed. See also https://en.wikipedia.org/wiki/BibTeX for more info. # For LaTeX the style of the bibliography can be controlled using # LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the # search path. See also \cite for info how to create references. @@ -727,11 +813,21 @@ WARN_IF_DOC_ERROR = YES # This WARN_NO_PARAMDOC option can be enabled to get warnings for functions that # are documented, but have no documentation for their parameters or return # value. If set to NO, doxygen will only warn about wrong or incomplete -# parameter documentation, but not about the absence of documentation. +# parameter documentation, but not about the absence of documentation. If +# EXTRACT_ALL is set to YES then this flag will automatically be disabled. # The default value is: NO. WARN_NO_PARAMDOC = YES +# If the WARN_AS_ERROR tag is set to YES then doxygen will immediately stop when +# a warning is encountered. If the WARN_AS_ERROR tag is set to FAIL_ON_WARNINGS +# then doxygen will continue running as if WARN_AS_ERROR tag is set to NO, but +# at the end of the doxygen process doxygen will return with a non-zero status. +# Possible values are: NO, YES and FAIL_ON_WARNINGS. +# The default value is: NO. + +WARN_AS_ERROR = NO + # The WARN_FORMAT tag determines the format of the warning messages that doxygen # can produce. The string should contain the $file, $line, and $text tags, which # will be replaced by the file and line number from which the warning originated @@ -755,28 +851,46 @@ WARN_LOGFILE = # The INPUT tag is used to specify the files and/or directories that contain # documented source files. You may enter file names like myfile.cpp or # directories like /usr/src/myproject. Separate the files or directories with -# spaces. +# spaces. See also FILE_PATTERNS and EXTENSION_MAPPING # Note: If this tag is empty the current directory is searched. -INPUT = ../../README.md ../input/chap2.md ../input/chap3.md ../../include ../../source ../../main ../../external_Pk ../input/mod.md +INPUT = ../../README.md \ + ../input/chap2.md \ + ../input/chap3.md \ + ../../include \ + ../../source \ + ../../main \ + ../../external/external_Pk \ + ../../external/RecfastCLASS \ + ../../external/heating \ + ../input/mod.md # This tag can be used to specify the character encoding of the source files # that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses # libiconv (or the iconv built into libc) for the transcoding. See the libiconv -# documentation (see: http://www.gnu.org/software/libiconv) for the list of -# possible encodings. +# documentation (see: +# https://www.gnu.org/software/libiconv/) for the list of possible encodings. # The default value is: UTF-8. INPUT_ENCODING = UTF-8 # If the value of the INPUT tag contains directories, you can use the # FILE_PATTERNS tag to specify one or more wildcard patterns (like *.cpp and -# *.h) to filter out the source-files in the directories. If left blank the -# following patterns are tested:*.c, *.cc, *.cxx, *.cpp, *.c++, *.java, *.ii, -# *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h, *.hh, *.hxx, *.hpp, -# *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc, *.m, *.markdown, -# *.md, *.mm, *.dox, *.py, *.f90, *.f, *.for, *.tcl, *.vhd, *.vhdl, *.ucf, -# *.qsf, *.as and *.js. +# *.h) to filter out the source-files in the directories. +# +# Note that for custom extensions or not directly supported extensions you also +# need to set EXTENSION_MAPPING for the extension otherwise the files are not +# read by doxygen. +# +# Note the list of default checked file patterns might differ from the list of +# default file extension mappings. +# +# If left blank the following patterns are tested:*.c, *.cc, *.cxx, *.cpp, +# *.c++, *.java, *.ii, *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h, +# *.hh, *.hxx, *.hpp, *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc, +# *.m, *.markdown, *.md, *.mm, *.dox (to be provided as doxygen C comment), +# *.py, *.pyw, *.f90, *.f95, *.f03, *.f08, *.f18, *.f, *.for, *.vhd, *.vhdl, +# *.ucf, *.qsf and *.ice. FILE_PATTERNS = @@ -820,7 +934,7 @@ EXCLUDE_PATTERNS = # Note that the wildcards are matched against the file with absolute path, so to # exclude all test directories use the pattern */test/* -EXCLUDE_SYMBOLS = +EXCLUDE_SYMBOLS = __ALLOCATE_PRECISION_PARAMETER__ # The EXAMPLE_PATH tag can be used to specify one or more files or directories # that contain example code fragments that are included (see the \include @@ -862,6 +976,10 @@ IMAGE_PATH = # Note that the filter must not add or remove lines; it is applied before the # code is scanned, but not when the output code is generated. If lines are added # or removed, the anchors will not be placed correctly. +# +# Note that for custom extensions or not directly supported extensions you also +# need to set EXTENSION_MAPPING for the extension otherwise the files are not +# properly processed by doxygen. INPUT_FILTER = @@ -871,6 +989,10 @@ INPUT_FILTER = # (like *.cpp=my_cpp_filter). See INPUT_FILTER for further information on how # filters are used. If the FILTER_PATTERNS tag is empty or if none of the # patterns match the file name, INPUT_FILTER is applied. +# +# Note that for custom extensions or not directly supported extensions you also +# need to set EXTENSION_MAPPING for the extension otherwise the files are not +# properly processed by doxygen. FILTER_PATTERNS = @@ -923,7 +1045,7 @@ INLINE_SOURCES = NO STRIP_CODE_COMMENTS = YES # If the REFERENCED_BY_RELATION tag is set to YES then for each documented -# function all documented functions referencing it will be listed. +# entity all documented functions referencing it will be listed. # The default value is: NO. REFERENCED_BY_RELATION = NO @@ -955,12 +1077,12 @@ SOURCE_TOOLTIPS = YES # If the USE_HTAGS tag is set to YES then the references to source code will # point to the HTML generated by the htags(1) tool instead of doxygen built-in # source browser. The htags tool is part of GNU's global source tagging system -# (see http://www.gnu.org/software/global/global.html). You will need version +# (see https://www.gnu.org/software/global/global.html). You will need version # 4.8.6 or higher. # # To use it do the following: # - Install the latest version of global -# - Enable SOURCE_BROWSER and USE_HTAGS in the config file +# - Enable SOURCE_BROWSER and USE_HTAGS in the configuration file # - Make sure the INPUT points to the root of the source tree # - Run doxygen as normal # @@ -993,13 +1115,6 @@ VERBATIM_HEADERS = YES ALPHABETICAL_INDEX = NO -# The COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns in -# which the alphabetical index list will be split. -# Minimum value: 1, maximum value: 20, default value: 5. -# This tag requires that the tag ALPHABETICAL_INDEX is set to YES. - -COLS_IN_ALPHA_INDEX = 5 - # In case all classes in a project start with a common prefix, all classes will # be put under the same header in the alphabetical index. The IGNORE_PREFIX tag # can be used to specify a prefix (or a list of prefixes) that should be ignored @@ -1100,7 +1215,7 @@ HTML_EXTRA_FILES = # The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. Doxygen # will adjust the colors in the style sheet and background images according to # this color. Hue is specified as an angle on a colorwheel, see -# http://en.wikipedia.org/wiki/Hue for more information. For instance the value +# https://en.wikipedia.org/wiki/Hue for more information. For instance the value # 0 represents red, 60 is yellow, 120 is green, 180 is cyan, 240 is blue, 300 # purple, and 360 is red again. # Minimum value: 0, maximum value: 359, default value: 220. @@ -1129,12 +1244,24 @@ HTML_COLORSTYLE_GAMMA = 80 # If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML # page will contain the date and time when the page was generated. Setting this -# to NO can help when comparing the output of multiple runs. -# The default value is: YES. +# to YES can help to show when doxygen was last run and thus if the +# documentation is up to date. +# The default value is: NO. # This tag requires that the tag GENERATE_HTML is set to YES. HTML_TIMESTAMP = YES +# If the HTML_DYNAMIC_MENUS tag is set to YES then the generated HTML +# documentation will contain a main index with vertical navigation menus that +# are dynamically created via JavaScript. If disabled, the navigation index will +# consists of multiple levels of tabs that are statically embedded in every HTML +# page. Disable this option to support browsers that do not have JavaScript, +# like the Qt help browser. +# The default value is: YES. +# This tag requires that the tag GENERATE_HTML is set to YES. + +HTML_DYNAMIC_MENUS = YES + # If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML # documentation will contain sections that can be hidden and shown after the # page has loaded. @@ -1158,13 +1285,14 @@ HTML_INDEX_NUM_ENTRIES = 100 # If the GENERATE_DOCSET tag is set to YES, additional index files will be # generated that can be used as input for Apple's Xcode 3 integrated development -# environment (see: http://developer.apple.com/tools/xcode/), introduced with -# OSX 10.5 (Leopard). To create a documentation set, doxygen will generate a -# Makefile in the HTML output directory. Running make will produce the docset in -# that directory and running make install will install the docset in +# environment (see: +# https://developer.apple.com/xcode/), introduced with OSX 10.5 (Leopard). To +# create a documentation set, doxygen will generate a Makefile in the HTML +# output directory. Running make will produce the docset in that directory and +# running make install will install the docset in # ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find it at -# startup. See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html -# for more information. +# startup. See https://developer.apple.com/library/archive/featuredarticles/Doxy +# genXcode/_index.html for more information. # The default value is: NO. # This tag requires that the tag GENERATE_HTML is set to YES. @@ -1203,8 +1331,8 @@ DOCSET_PUBLISHER_NAME = Publisher # If the GENERATE_HTMLHELP tag is set to YES then doxygen generates three # additional HTML index files: index.hhp, index.hhc, and index.hhk. The # index.hhp is a project file that can be read by Microsoft's HTML Help Workshop -# (see: http://www.microsoft.com/en-us/download/details.aspx?id=21138) on -# Windows. +# (see: +# https://www.microsoft.com/en-us/download/details.aspx?id=21138) on Windows. # # The HTML Help Workshop contains a compiler that can convert all HTML output # generated by doxygen into a single compiled HTML file (.chm). Compiled HTML @@ -1234,7 +1362,7 @@ CHM_FILE = HHC_LOCATION = # The GENERATE_CHI flag controls if a separate .chi index file is generated -# (YES) or that it should be included in the master .chm file (NO). +# (YES) or that it should be included in the main .chm file (NO). # The default value is: NO. # This tag requires that the tag GENERATE_HTMLHELP is set to YES. @@ -1279,7 +1407,8 @@ QCH_FILE = # The QHP_NAMESPACE tag specifies the namespace to use when generating Qt Help # Project output. For more information please see Qt Help Project / Namespace -# (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#namespace). +# (see: +# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#namespace). # The default value is: org.doxygen.Project. # This tag requires that the tag GENERATE_QHP is set to YES. @@ -1287,8 +1416,8 @@ QHP_NAMESPACE = org.doxygen.Project # The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating Qt # Help Project output. For more information please see Qt Help Project / Virtual -# Folders (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#virtual- -# folders). +# Folders (see: +# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#virtual-folders). # The default value is: doc. # This tag requires that the tag GENERATE_QHP is set to YES. @@ -1296,30 +1425,30 @@ QHP_VIRTUAL_FOLDER = doc # If the QHP_CUST_FILTER_NAME tag is set, it specifies the name of a custom # filter to add. For more information please see Qt Help Project / Custom -# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom- -# filters). +# Filters (see: +# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-filters). # This tag requires that the tag GENERATE_QHP is set to YES. QHP_CUST_FILTER_NAME = # The QHP_CUST_FILTER_ATTRS tag specifies the list of the attributes of the # custom filter to add. For more information please see Qt Help Project / Custom -# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom- -# filters). +# Filters (see: +# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-filters). # This tag requires that the tag GENERATE_QHP is set to YES. QHP_CUST_FILTER_ATTRS = # The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this # project's filter section matches. Qt Help Project / Filter Attributes (see: -# http://qt-project.org/doc/qt-4.8/qthelpproject.html#filter-attributes). +# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#filter-attributes). # This tag requires that the tag GENERATE_QHP is set to YES. QHP_SECT_FILTER_ATTRS = -# The QHG_LOCATION tag can be used to specify the location of Qt's -# qhelpgenerator. If non-empty doxygen will try to run qhelpgenerator on the -# generated .qhp file. +# The QHG_LOCATION tag can be used to specify the location (absolute path +# including file name) of Qt's qhelpgenerator. If non-empty doxygen will try to +# run qhelpgenerator on the generated .qhp file. # This tag requires that the tag GENERATE_QHP is set to YES. QHG_LOCATION = @@ -1396,6 +1525,17 @@ TREEVIEW_WIDTH = 250 EXT_LINKS_IN_WINDOW = NO +# If the HTML_FORMULA_FORMAT option is set to svg, doxygen will use the pdf2svg +# tool (see https://github.com/dawbarton/pdf2svg) or inkscape (see +# https://inkscape.org) to generate formulas as SVG images instead of PNGs for +# the HTML output. These images will generally look nicer at scaled resolutions. +# Possible values are: png (the default) and svg (looks nicer but requires the +# pdf2svg or inkscape tool). +# The default value is: png. +# This tag requires that the tag GENERATE_HTML is set to YES. + +HTML_FORMULA_FORMAT = png + # Use this tag to change the font size of LaTeX formulas included as images in # the HTML documentation. When you change the font size after a successful # doxygen run you need to manually remove any form_*.png images from the HTML @@ -1405,7 +1545,7 @@ EXT_LINKS_IN_WINDOW = NO FORMULA_FONTSIZE = 10 -# Use the FORMULA_TRANPARENT tag to determine whether or not the images +# Use the FORMULA_TRANSPARENT tag to determine whether or not the images # generated for formulas are transparent PNGs. Transparent PNGs are not # supported properly for IE 6.0, but are supported on all modern browsers. # @@ -1416,8 +1556,14 @@ FORMULA_FONTSIZE = 10 FORMULA_TRANSPARENT = YES +# The FORMULA_MACROFILE can contain LaTeX \newcommand and \renewcommand commands +# to create new LaTeX commands to be used in formulas as building blocks. See +# the section "Including formulas" for details. + +FORMULA_MACROFILE = + # Enable the USE_MATHJAX option to render LaTeX formulas using MathJax (see -# http://www.mathjax.org) which uses client side Javascript for the rendering +# https://www.mathjax.org) which uses client side JavaScript for the rendering # instead of using pre-rendered bitmaps. Use this if you do not have LaTeX # installed or if you want to formulas look prettier in the HTML output. When # enabled you may also need to install MathJax separately and configure the path @@ -1429,7 +1575,7 @@ USE_MATHJAX = NO # When MathJax is enabled you can set the default output format to be used for # the MathJax output. See the MathJax site (see: -# http://docs.mathjax.org/en/latest/output.html) for more details. +# http://docs.mathjax.org/en/v2.7-latest/output.html) for more details. # Possible values are: HTML-CSS (which is slower, but has the best # compatibility), NativeMML (i.e. MathML) and SVG. # The default value is: HTML-CSS. @@ -1444,8 +1590,8 @@ MATHJAX_FORMAT = HTML-CSS # MATHJAX_RELPATH should be ../mathjax. The default value points to the MathJax # Content Delivery Network so you can quickly see the result without installing # MathJax. However, it is strongly recommended to install a local copy of -# MathJax from http://www.mathjax.org before deployment. -# The default value is: http://cdn.mathjax.org/mathjax/latest. +# MathJax from https://www.mathjax.org before deployment. +# The default value is: https://cdn.jsdelivr.net/npm/mathjax@2. # This tag requires that the tag USE_MATHJAX is set to YES. MATHJAX_RELPATH = http://cdn.mathjax.org/mathjax/latest @@ -1459,7 +1605,8 @@ MATHJAX_EXTENSIONS = # The MATHJAX_CODEFILE tag can be used to specify a file with javascript pieces # of code that will be used on startup of the MathJax code. See the MathJax site -# (see: http://docs.mathjax.org/en/latest/output.html) for more details. For an +# (see: +# http://docs.mathjax.org/en/v2.7-latest/output.html) for more details. For an # example see the documentation. # This tag requires that the tag USE_MATHJAX is set to YES. @@ -1487,7 +1634,7 @@ MATHJAX_CODEFILE = SEARCHENGINE = YES # When the SERVER_BASED_SEARCH tag is enabled the search engine will be -# implemented using a web server instead of a web client using Javascript. There +# implemented using a web server instead of a web client using JavaScript. There # are two flavors of web server based searching depending on the EXTERNAL_SEARCH # setting. When disabled, doxygen will generate a PHP script for searching and # an index file used by the script. When EXTERNAL_SEARCH is enabled the indexing @@ -1506,7 +1653,8 @@ SERVER_BASED_SEARCH = NO # # Doxygen ships with an example indexer (doxyindexer) and search engine # (doxysearch.cgi) which are based on the open source search engine library -# Xapian (see: http://xapian.org/). +# Xapian (see: +# https://xapian.org/). # # See the section "External Indexing and Searching" for details. # The default value is: NO. @@ -1519,8 +1667,9 @@ EXTERNAL_SEARCH = NO # # Doxygen ships with an example indexer (doxyindexer) and search engine # (doxysearch.cgi) which are based on the open source search engine library -# Xapian (see: http://xapian.org/). See the section "External Indexing and -# Searching" for details. +# Xapian (see: +# https://xapian.org/). See the section "External Indexing and Searching" for +# details. # This tag requires that the tag SEARCHENGINE is set to YES. SEARCHENGINE_URL = @@ -1571,21 +1720,35 @@ LATEX_OUTPUT = latex # The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be # invoked. # -# Note that when enabling USE_PDFLATEX this option is only used for generating -# bitmaps for formulas in the HTML output, but not in the Makefile that is -# written to the output directory. -# The default file is: latex. +# Note that when not enabling USE_PDFLATEX the default is latex when enabling +# USE_PDFLATEX the default is pdflatex and when in the later case latex is +# chosen this is overwritten by pdflatex. For specific output languages the +# default can have been set differently, this depends on the implementation of +# the output language. # This tag requires that the tag GENERATE_LATEX is set to YES. LATEX_CMD_NAME = latex # The MAKEINDEX_CMD_NAME tag can be used to specify the command name to generate # index for LaTeX. +# Note: This tag is used in the Makefile / make.bat. +# See also: LATEX_MAKEINDEX_CMD for the part in the generated output file +# (.tex). # The default file is: makeindex. # This tag requires that the tag GENERATE_LATEX is set to YES. MAKEINDEX_CMD_NAME = makeindex +# The LATEX_MAKEINDEX_CMD tag can be used to specify the command name to +# generate index for LaTeX. In case there is no backslash (\) as first character +# it will be automatically added in the LaTeX code. +# Note: This tag is used in the generated output file (.tex). +# See also: MAKEINDEX_CMD_NAME for the part in the Makefile / make.bat. +# The default value is: makeindex. +# This tag requires that the tag GENERATE_LATEX is set to YES. + +LATEX_MAKEINDEX_CMD = makeindex + # If the COMPACT_LATEX tag is set to YES, doxygen generates more compact LaTeX # documents. This may be useful for small projects and may help to save some # trees in general. @@ -1604,9 +1767,12 @@ COMPACT_LATEX = NO PAPER_TYPE = a4 # The EXTRA_PACKAGES tag can be used to specify one or more LaTeX package names -# that should be included in the LaTeX output. To get the times font for -# instance you can specify -# EXTRA_PACKAGES=times +# that should be included in the LaTeX output. The package can be specified just +# by its name or with the correct syntax as to be used with the LaTeX +# \usepackage command. To get the times font for instance you can specify : +# EXTRA_PACKAGES=times or EXTRA_PACKAGES={times} +# To use the option intlimits with the amsmath package you can specify: +# EXTRA_PACKAGES=[intlimits]{amsmath} # If left blank no extra packages will be included. # This tag requires that the tag GENERATE_LATEX is set to YES. @@ -1667,9 +1833,11 @@ LATEX_EXTRA_FILES = PDF_HYPERLINKS = YES -# If the USE_PDFLATEX tag is set to YES, doxygen will use pdflatex to generate -# the PDF file directly from the LaTeX files. Set this option to YES, to get a -# higher quality PDF documentation. +# If the USE_PDFLATEX tag is set to YES, doxygen will use the engine as +# specified with LATEX_CMD_NAME to generate the PDF file directly from the LaTeX +# files. Set this option to YES, to get a higher quality PDF documentation. +# +# See also section LATEX_CMD_NAME for selecting the engine. # The default value is: YES. # This tag requires that the tag GENERATE_LATEX is set to YES. @@ -1703,12 +1871,28 @@ LATEX_SOURCE_CODE = NO # The LATEX_BIB_STYLE tag can be used to specify the style to use for the # bibliography, e.g. plainnat, or ieeetr. See -# http://en.wikipedia.org/wiki/BibTeX and \cite for more info. +# https://en.wikipedia.org/wiki/BibTeX and \cite for more info. # The default value is: plain. # This tag requires that the tag GENERATE_LATEX is set to YES. LATEX_BIB_STYLE = plain +# If the LATEX_TIMESTAMP tag is set to YES then the footer of each generated +# page will contain the date and time when the page was generated. Setting this +# to NO can help when comparing the output of multiple runs. +# The default value is: NO. +# This tag requires that the tag GENERATE_LATEX is set to YES. + +LATEX_TIMESTAMP = NO + +# The LATEX_EMOJI_DIRECTORY tag is used to specify the (relative or absolute) +# path from which the emoji images will be read. If a relative path is entered, +# it will be relative to the LATEX_OUTPUT directory. If left blank the +# LATEX_OUTPUT directory will be used. +# This tag requires that the tag GENERATE_LATEX is set to YES. + +LATEX_EMOJI_DIRECTORY = + #--------------------------------------------------------------------------- # Configuration options related to the RTF output #--------------------------------------------------------------------------- @@ -1748,9 +1932,9 @@ COMPACT_RTF = NO RTF_HYPERLINKS = NO -# Load stylesheet definitions from file. Syntax is similar to doxygen's config -# file, i.e. a series of assignments. You only have to provide replacements, -# missing definitions are set to their default value. +# Load stylesheet definitions from file. Syntax is similar to doxygen's +# configuration file, i.e. a series of assignments. You only have to provide +# replacements, missing definitions are set to their default value. # # See also section "Doxygen usage" for information on how to generate the # default style sheet that doxygen normally uses. @@ -1759,8 +1943,8 @@ RTF_HYPERLINKS = NO RTF_STYLESHEET_FILE = # Set optional variables used in the generation of an RTF document. Syntax is -# similar to doxygen's config file. A template extensions file can be generated -# using doxygen -e rtf extensionFile. +# similar to doxygen's configuration file. A template extensions file can be +# generated using doxygen -e rtf extensionFile. # This tag requires that the tag GENERATE_RTF is set to YES. RTF_EXTENSIONS_FILE = @@ -1846,6 +2030,13 @@ XML_OUTPUT = xml XML_PROGRAMLISTING = YES +# If the XML_NS_MEMB_FILE_SCOPE tag is set to YES, doxygen will include +# namespace members in file scope as well, matching the HTML output. +# The default value is: NO. +# This tag requires that the tag GENERATE_XML is set to YES. + +XML_NS_MEMB_FILE_SCOPE = NO + #--------------------------------------------------------------------------- # Configuration options related to the DOCBOOK output #--------------------------------------------------------------------------- @@ -1878,9 +2069,9 @@ DOCBOOK_PROGRAMLISTING = NO #--------------------------------------------------------------------------- # If the GENERATE_AUTOGEN_DEF tag is set to YES, doxygen will generate an -# AutoGen Definitions (see http://autogen.sf.net) file that captures the -# structure of the code including all documentation. Note that this feature is -# still experimental and incomplete at the moment. +# AutoGen Definitions (see http://autogen.sourceforge.net/) file that captures +# the structure of the code including all documentation. Note that this feature +# is still experimental and incomplete at the moment. # The default value is: NO. GENERATE_AUTOGEN_DEF = NO @@ -1989,7 +2180,9 @@ PREDEFINED = HYREC # definition found in the source code. # This tag requires that the tag ENABLE_PREPROCESSING is set to YES. -EXPAND_AS_DEFINED = +EXPAND_AS_DEFINED = class_precision_parameter \ + class_string_parameter \ + class_type_parameter # If the SKIP_FUNCTION_MACROS tag is set to YES then doxygen's preprocessor will # remove all references to function-like macros that are alone on a line, have @@ -2047,12 +2240,6 @@ EXTERNAL_GROUPS = YES EXTERNAL_PAGES = YES -# The PERL_PATH should be the absolute path and name of the perl script -# interpreter (i.e. the result of 'which perl'). -# The default file (with absolute path) is: /usr/bin/perl. - -PERL_PATH = /usr/bin/perl - #--------------------------------------------------------------------------- # Configuration options related to the dot tool #--------------------------------------------------------------------------- @@ -2066,15 +2253,6 @@ PERL_PATH = /usr/bin/perl CLASS_DIAGRAMS = YES -# You can define message sequence charts within doxygen comments using the \msc -# command. Doxygen will then run the mscgen tool (see: -# http://www.mcternan.me.uk/mscgen/)) to produce the chart and insert it in the -# documentation. The MSCGEN_PATH tag allows you to specify the directory where -# the mscgen tool resides. If left empty the tool is assumed to be found in the -# default search path. - -MSCGEN_PATH = - # You can include diagrams made with dia in doxygen documentation. Doxygen will # then run dia to produce the diagram and insert it in the documentation. The # DIA_PATH tag allows you to specify the directory where the dia binary resides. @@ -2172,10 +2350,32 @@ UML_LOOK = YES # but if the number exceeds 15, the total amount of fields shown is limited to # 10. # Minimum value: 0, maximum value: 100, default value: 10. -# This tag requires that the tag HAVE_DOT is set to YES. +# This tag requires that the tag UML_LOOK is set to YES. UML_LIMIT_NUM_FIELDS = 10 +# If the DOT_UML_DETAILS tag is set to NO, doxygen will show attributes and +# methods without types and arguments in the UML graphs. If the DOT_UML_DETAILS +# tag is set to YES, doxygen will add type and arguments for attributes and +# methods in the UML graphs. If the DOT_UML_DETAILS tag is set to NONE, doxygen +# will not generate fields with class member information in the UML graphs. The +# class diagrams will look similar to the default class diagrams but using UML +# notation for the relationships. +# Possible values are: NO, YES and NONE. +# The default value is: NO. +# This tag requires that the tag UML_LOOK is set to YES. + +DOT_UML_DETAILS = NO + +# The DOT_WRAP_THRESHOLD tag can be used to set the maximum number of characters +# to display on a single line. If the actual line length exceeds this threshold +# significantly it will wrapped across multiple lines. Some heuristics are apply +# to avoid ugly line breaks. +# Minimum value: 0, maximum value: 1000, default value: 17. +# This tag requires that the tag HAVE_DOT is set to YES. + +DOT_WRAP_THRESHOLD = 17 + # If the TEMPLATE_RELATIONS tag is set to YES then the inheritance and # collaboration graphs will show the relations between templates and their # instances. @@ -2207,7 +2407,8 @@ INCLUDED_BY_GRAPH = YES # # Note that enabling this option will significantly increase the time of a run. # So in most cases it will be better to enable call graphs for selected -# functions only using the \callgraph command. +# functions only using the \callgraph command. Disabling a call graph can be +# accomplished by means of the command \hidecallgraph. # The default value is: NO. # This tag requires that the tag HAVE_DOT is set to YES. @@ -2218,7 +2419,8 @@ CALL_GRAPH = YES # # Note that enabling this option will significantly increase the time of a run. # So in most cases it will be better to enable caller graphs for selected -# functions only using the \callergraph command. +# functions only using the \callergraph command. Disabling a caller graph can be +# accomplished by means of the command \hidecallergraph. # The default value is: NO. # This tag requires that the tag HAVE_DOT is set to YES. @@ -2241,11 +2443,15 @@ GRAPHICAL_HIERARCHY = YES DIRECTORY_GRAPH = YES # The DOT_IMAGE_FORMAT tag can be used to set the image format of the images -# generated by dot. +# generated by dot. For an explanation of the image formats see the section +# output formats in the documentation of the dot tool (Graphviz (see: +# http://www.graphviz.org/)). # Note: If you choose svg you need to set HTML_FILE_EXTENSION to xhtml in order # to make the SVG files visible in IE 9+ (other browsers do not have this # requirement). -# Possible values are: png, jpg, gif and svg. +# Possible values are: png, jpg, gif, svg, png:gd, png:gd:gd, png:cairo, +# png:cairo:gd, png:cairo:cairo, png:cairo:gdiplus, png:gdiplus and +# png:gdiplus:gdiplus. # The default value is: png. # This tag requires that the tag HAVE_DOT is set to YES. @@ -2296,6 +2502,11 @@ DIAFILE_DIRS = PLANTUML_JAR_PATH = +# When using plantuml, the PLANTUML_CFG_FILE tag can be used to specify a +# configuration file for plantuml. + +PLANTUML_CFG_FILE = + # When using plantuml, the specified paths are searched for files specified by # the !include statement in a plantuml block. @@ -2354,9 +2565,11 @@ DOT_MULTI_TARGETS = NO GENERATE_LEGEND = YES -# If the DOT_CLEANUP tag is set to YES, doxygen will remove the intermediate dot +# If the DOT_CLEANUP tag is set to YES, doxygen will remove the intermediate # files that are used to generate the various graphs. +# +# Note: This setting is not only used for dot files but also for msc and +# plantuml temporary files. # The default value is: YES. -# This tag requires that the tag HAVE_DOT is set to YES. DOT_CLEANUP = YES diff --git a/doc/input/doxygen.sty b/doc/input/doxygen.sty index 84c1a311..8788821b 100644 --- a/doc/input/doxygen.sty +++ b/doc/input/doxygen.sty @@ -1,506 +1,577 @@ -\NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{doxygen} - -% Packages used by this style file -\RequirePackage{alltt} -\RequirePackage{array} -\RequirePackage{calc} -\RequirePackage{float} -\RequirePackage{ifthen} -\RequirePackage{verbatim} -\RequirePackage[table]{xcolor} -\RequirePackage{longtable} -\RequirePackage{tabu} -\RequirePackage{tabularx} -\RequirePackage{multirow} - -%---------- Internal commands used in this style file ---------------- - -%\newcommand{\Hypertarget}[1]{\hypertarget{#1}{}} - -\newcommand{\ensurespace}[1]{% - \begingroup% - \setlength{\dimen@}{#1}% - \vskip\z@\@plus\dimen@% - \penalty -100\vskip\z@\@plus -\dimen@% - \vskip\dimen@% - \penalty 9999% - \vskip -\dimen@% - \vskip\z@skip% hide the previous |\vskip| from |\addvspace| - \endgroup% -} - -\newcommand{\DoxyLabelFont}{} -\newcommand{\entrylabel}[1]{% - {% - \parbox[b]{\labelwidth-4pt}{% - \makebox[0pt][l]{\DoxyLabelFont#1}% - \vspace{1.5\baselineskip}% - }% - }% -} - -\newenvironment{DoxyDesc}[1]{% - \ensurespace{4\baselineskip}% - \begin{list}{}{% - \settowidth{\labelwidth}{20pt}% - \setlength{\parsep}{0pt}% - \setlength{\itemsep}{0pt}% - \setlength{\leftmargin}{\labelwidth+\labelsep}% - \renewcommand{\makelabel}{\entrylabel}% - }% - \item[#1]% -}{% - \end{list}% -} - -\newsavebox{\xrefbox} -\newlength{\xreflength} -\newcommand{\xreflabel}[1]{% - \sbox{\xrefbox}{#1}% - \setlength{\xreflength}{\wd\xrefbox}% - \ifthenelse{\xreflength>\labelwidth}{% - \begin{minipage}{\textwidth}% - \setlength{\parindent}{0pt}% - \hangindent=15pt\bfseries #1\vspace{1.2\itemsep}% - \end{minipage}% - }{% - \parbox[b]{\labelwidth}{\makebox[0pt][l]{\textbf{#1}}}% - }% -} - -%---------- Commands used by doxygen LaTeX output generator ---------- - -% Used by 
 ...
-\newenvironment{DoxyPre}{% - \small% - \begin{alltt}% -}{% - \end{alltt}% - \normalsize% -} - -% Used by @code ... @endcode -\newenvironment{DoxyCode}{% - \par% - \scriptsize% - \begin{alltt}% -}{% - \end{alltt}% - \normalsize% -} - -% Used by @example, @include, @includelineno and @dontinclude -\newenvironment{DoxyCodeInclude}{% - \DoxyCode% -}{% - \endDoxyCode% -} - -% Used by @verbatim ... @endverbatim -\newenvironment{DoxyVerb}{% - \footnotesize% - \verbatim% -}{% - \endverbatim% - \normalsize% -} - -% Used by @verbinclude -\newenvironment{DoxyVerbInclude}{% - \DoxyVerb% -}{% - \endDoxyVerb% -} - -% Used by numbered lists (using '-#' or
    ...
) -\newenvironment{DoxyEnumerate}{% - \enumerate% -}{% - \endenumerate% -} - -% Used by bullet lists (using '-', @li, @arg, or
    ...
) -\newenvironment{DoxyItemize}{% - \itemize% -}{% - \enditemize% -} - -% Used by description lists (using
...
) -\newenvironment{DoxyDescription}{% - \description% -}{% - \enddescription% -} - -% Used by @image, @dotfile, @dot ... @enddot, and @msc ... @endmsc -% (only if caption is specified) -\newenvironment{DoxyImage}{% - \begin{figure}[H]% - \begin{center}% -}{% - \end{center}% - \end{figure}% -} - -% Used by @image, @dotfile, @dot ... @enddot, and @msc ... @endmsc -% (only if no caption is specified) -\newenvironment{DoxyImageNoCaption}{% - \begin{center}% -}{% - \end{center}% -} - -% Used by @attention -\newenvironment{DoxyAttention}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @author and @authors -\newenvironment{DoxyAuthor}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @date -\newenvironment{DoxyDate}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @invariant -\newenvironment{DoxyInvariant}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @note -\newenvironment{DoxyNote}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @post -\newenvironment{DoxyPostcond}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @pre -\newenvironment{DoxyPrecond}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @copyright -\newenvironment{DoxyCopyright}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @remark -\newenvironment{DoxyRemark}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @return and @returns -\newenvironment{DoxyReturn}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @since -\newenvironment{DoxySince}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @see -\newenvironment{DoxySeeAlso}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @version -\newenvironment{DoxyVersion}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @warning -\newenvironment{DoxyWarning}[1]{% - \begin{DoxyDesc}{#1}% -}{% - \end{DoxyDesc}% -} - -% Used by @internal -\newenvironment{DoxyInternal}[1]{% - \paragraph*{#1}% -}{% -} - -% Used by @par and @paragraph -\newenvironment{DoxyParagraph}[1]{% - \begin{list}{}{% - \settowidth{\labelwidth}{40pt}% - \setlength{\leftmargin}{\labelwidth}% - \setlength{\parsep}{0pt}% - \setlength{\itemsep}{-4pt}% - \renewcommand{\makelabel}{\entrylabel}% - }% - \item[#1]% -}{% - \end{list}% -} - -% Used by parameter lists -\newenvironment{DoxyParams}[2][]{% - \tabulinesep=1mm% - \par% - \nopagebreak[1] - \ifthenelse{\equal{#1}{}}% - {\begin{longtabu} spread 0pt [l]{|X[-1,l]|X[-1,l]|}}% name + description - {\ifthenelse{\equal{#1}{1}}% - {\begin{longtabu} spread 0pt [l]{|X[-1,l]|X[-1,l]|X[-1,l]|}}% in/out + name + desc - {\begin{longtabu} spread 0pt [l]{|X[-1,l]|X[-1,l]|X[-1,l]|X[-1,l]|}}% in/out + type + name + desc - } - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #2}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #2}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used for fields of simple structs -\newenvironment{DoxyFields}[1]{% - \tabulinesep=1mm% - \par% - \begin{longtabu} spread 0pt [l]{|X[-1,r]|X[-1,l]|X[-1,l]|}% - \multicolumn{3}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{3}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used for fields simple class style enums -\newenvironment{DoxyEnumFields}[1]{% - \tabulinesep=1mm% - \par% - \begin{longtabu} spread 0pt [l]{|X[-1,r]|X[-1,l]|}% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used for parameters within a detailed function description -\newenvironment{DoxyParamCaption}{% - \renewcommand{\item}[2][]{\\ \hspace*{2.0cm} ##1 {\em ##2}}% -}{% -} - -% Used by return value lists -\newenvironment{DoxyRetVals}[1]{% - \tabulinesep=1mm% - \par% - \begin{longtabu} spread 0pt [l]{|X[-1,r]|X[-1,l]|}% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used by exception lists -\newenvironment{DoxyExceptions}[1]{% - \tabulinesep=1mm% - \par% - \begin{longtabu} spread 0pt [l]{|X[-1,r]|X[-1,l]|}% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used by template parameter lists -\newenvironment{DoxyTemplParams}[1]{% - \tabulinesep=1mm% - \par% - \begin{longtabu} spread 0pt [l]{|X[-1,r]|X[-1,l]|}% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endfirsthead% - \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% - \hline% - \endhead% -}{% - \end{longtabu}% - \vspace{6pt}% -} - -% Used for member lists -\newenvironment{DoxyCompactItemize}{% - \begin{itemize}% - \setlength{\itemsep}{-3pt}% - \setlength{\parsep}{0pt}% - \setlength{\topsep}{0pt}% - \setlength{\partopsep}{0pt}% -}{% - \end{itemize}% -} - -% Used for member descriptions -\newenvironment{DoxyCompactList}{% - \begin{list}{}{% - \setlength{\leftmargin}{0.5cm}% - \setlength{\itemsep}{0pt}% - \setlength{\parsep}{0pt}% - \setlength{\topsep}{0pt}% - \renewcommand{\makelabel}{\hfill}% - }% -}{% - \end{list}% -} - -% Used for reference lists (@bug, @deprecated, @todo, etc.) -\newenvironment{DoxyRefList}{% - \begin{list}{}{% - \setlength{\labelwidth}{10pt}% - \setlength{\leftmargin}{\labelwidth}% - \addtolength{\leftmargin}{\labelsep}% - \renewcommand{\makelabel}{\xreflabel}% - }% -}{% - \end{list}% -} - -% Used by @bug, @deprecated, @todo, etc. -\newenvironment{DoxyRefDesc}[1]{% - \begin{list}{}{% - \renewcommand\makelabel[1]{\textbf{##1}}% - \settowidth\labelwidth{\makelabel{#1}}% - \setlength\leftmargin{\labelwidth+\labelsep}% - }% -}{% - \end{list}% -} - -% Used by parameter lists and simple sections -\newenvironment{Desc} -{\begin{list}{}{% - \settowidth{\labelwidth}{20pt}% - \setlength{\parsep}{0pt}% - \setlength{\itemsep}{0pt}% - \setlength{\leftmargin}{\labelwidth+\labelsep}% - \renewcommand{\makelabel}{\entrylabel}% - } -}{% - \end{list}% -} - -% Used by tables -\newcommand{\PBS}[1]{\let\temp=\\#1\let\\=\temp}% -\newenvironment{TabularC}[1]% -{\tabulinesep=1mm -\begin{longtabu} spread 0pt [c]{*#1{|X[-1]}|}}% -{\end{longtabu}\par}% - -\newenvironment{TabularNC}[1]% -{\begin{tabu} spread 0pt [l]{*#1{|X[-1]}|}}% -{\end{tabu}\par}% - -% Used for member group headers -\newenvironment{Indent}{% - \begin{list}{}{% - \setlength{\leftmargin}{0.5cm}% - }% - \item[]\ignorespaces% -}{% - \unskip% - \end{list}% -} - -% Used when hyperlinks are turned off -\newcommand{\doxyref}[3]{% - \textbf{#1} (\textnormal{#2}\,\pageref{#3})% -} - -% Used to link to a table when hyperlinks are turned on -\newcommand{\doxytablelink}[2]{% - \ref{#1}% -} - -% Used to link to a table when hyperlinks are turned off -\newcommand{\doxytableref}[3]{% - \ref{#3}% -} - -% Used by @addindex -\newcommand{\lcurly}{\{} -\newcommand{\rcurly}{\}} - -% Colors used for syntax highlighting -\definecolor{comment}{rgb}{0.5,0.0,0.0} -\definecolor{keyword}{rgb}{0.0,0.5,0.0} -\definecolor{keywordtype}{rgb}{0.38,0.25,0.125} -\definecolor{keywordflow}{rgb}{0.88,0.5,0.0} -\definecolor{preprocessor}{rgb}{0.5,0.38,0.125} -\definecolor{stringliteral}{rgb}{0.0,0.125,0.25} -\definecolor{charliteral}{rgb}{0.0,0.5,0.5} -\definecolor{vhdldigit}{rgb}{1.0,0.0,1.0} -\definecolor{vhdlkeyword}{rgb}{0.43,0.0,0.43} -\definecolor{vhdllogic}{rgb}{1.0,0.0,0.0} -\definecolor{vhdlchar}{rgb}{0.0,0.0,0.0} - -% Color used for table heading -\newcommand{\tableheadbgcolor}{lightgray}% - -% Version of hypertarget with correct landing location -\newcommand{\Hypertarget}[1]{\Hy@raisedlink{\hypertarget{#1}{}}} - -% Define caption that is also suitable in a table -\makeatletter -\def\doxyfigcaption{% -\refstepcounter{figure}% -\@dblarg{\@caption{figure}}} -\makeatother +% stylesheet for doxygen 1.9.1 +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{doxygen} + +% Packages used by this style file +\RequirePackage{alltt} +%%\RequirePackage{array} %% moved to refman.tex due to workaround for LaTex 2019 version and unmaintained tabu package +\RequirePackage{calc} +\RequirePackage{float} +%%\RequirePackage{ifthen} %% moved to refman.tex due to workaround for LaTex 2019 version and unmaintained tabu package +\RequirePackage{verbatim} +\RequirePackage[table]{xcolor} +\RequirePackage{longtable_doxygen} +\RequirePackage{tabu_doxygen} +\RequirePackage{fancyvrb} +\RequirePackage{tabularx} +\RequirePackage{multicol} +\RequirePackage{multirow} +\RequirePackage{hanging} +\RequirePackage{ifpdf} +\RequirePackage{adjustbox} +\RequirePackage{amssymb} +\RequirePackage{stackengine} +\RequirePackage[normalem]{ulem} % for strikeout, but don't modify emphasis + +%---------- Internal commands used in this style file ---------------- + +\newcommand{\ensurespace}[1]{% + \begingroup% + \setlength{\dimen@}{#1}% + \vskip\z@\@plus\dimen@% + \penalty -100\vskip\z@\@plus -\dimen@% + \vskip\dimen@% + \penalty 9999% + \vskip -\dimen@% + \vskip\z@skip% hide the previous |\vskip| from |\addvspace| + \endgroup% +} + +\newcommand{\DoxyHorRuler}[1]{% + \setlength{\parskip}{0ex plus 0ex minus 0ex}% + \ifthenelse{#1=0}% + {% + \hrule% + }% + {% + \hrulefilll% + }% +} +\newcommand{\DoxyLabelFont}{} +\newcommand{\entrylabel}[1]{% + {% + \parbox[b]{\labelwidth-4pt}{% + \makebox[0pt][l]{\DoxyLabelFont#1}% + \vspace{1.5\baselineskip}% + }% + }% +} + +\newenvironment{DoxyDesc}[1]{% + \ensurespace{4\baselineskip}% + \begin{list}{}{% + \settowidth{\labelwidth}{20pt}% + %\setlength{\parsep}{0pt}% + \setlength{\itemsep}{0pt}% + \setlength{\leftmargin}{\labelwidth+\labelsep}% + \renewcommand{\makelabel}{\entrylabel}% + }% + \item[#1]% +}{% + \end{list}% +} + +\newsavebox{\xrefbox} +\newlength{\xreflength} +\newcommand{\xreflabel}[1]{% + \sbox{\xrefbox}{#1}% + \setlength{\xreflength}{\wd\xrefbox}% + \ifthenelse{\xreflength>\labelwidth}{% + \begin{minipage}{\textwidth}% + \setlength{\parindent}{0pt}% + \hangindent=15pt\bfseries #1\vspace{1.2\itemsep}% + \end{minipage}% + }{% + \parbox[b]{\labelwidth}{\makebox[0pt][l]{\textbf{#1}}}% + }% +} + +%---------- Commands used by doxygen LaTeX output generator ---------- + +% Used by 
 ...
+\newenvironment{DoxyPre}{% + \small% + \begin{alltt}% +}{% + \end{alltt}% + \normalsize% +} +% Necessary for redefining not defined characters, i.e. "Replacement Character" in tex output. +\newlength{\CodeWidthChar} +\newlength{\CodeHeightChar} +\settowidth{\CodeWidthChar}{?} +\settoheight{\CodeHeightChar}{?} +% Necessary for hanging indent +\newlength{\DoxyCodeWidth} + +\newcommand\DoxyCodeLine[1]{\hangpara{\DoxyCodeWidth}{1}{#1}\par} + +\newcommand\NiceSpace{% + \discretionary{}{\kern\fontdimen2\font}{\kern\fontdimen2\font}% +} + +% Used by @code ... @endcode +\newenvironment{DoxyCode}[1]{% + \par% + \scriptsize% + \normalfont\ttfamily% + \rightskip0pt plus 1fil% + \settowidth{\DoxyCodeWidth}{000000}% + \settowidth{\CodeWidthChar}{?}% + \settoheight{\CodeHeightChar}{?}% + \setlength{\parskip}{0ex plus 0ex minus 0ex}% + \ifthenelse{\equal{#1}{0}} + { + {\lccode`~32 \lowercase{\global\let~}\NiceSpace}\obeyspaces% + } + { + {\lccode`~32 \lowercase{\global\let~}}\obeyspaces% + } + +}{% + \normalfont% + \normalsize% + \settowidth{\CodeWidthChar}{?}% + \settoheight{\CodeHeightChar}{?}% +} + +% Redefining not defined characters, i.e. "Replacement Character" in tex output. +\def\ucr{\adjustbox{width=\CodeWidthChar,height=\CodeHeightChar}{\stackinset{c}{}{c}{-.2pt}{% + \textcolor{white}{\sffamily\bfseries\small ?}}{% + \rotatebox{45}{$\blacksquare$}}}} + +% Used by @example, @include, @includelineno and @dontinclude +\newenvironment{DoxyCodeInclude}[1]{% + \DoxyCode{#1}% +}{% + \endDoxyCode% +} + +% Used by @verbatim ... @endverbatim +\newenvironment{DoxyVerb}{% + \footnotesize% + \verbatim% +}{% + \endverbatim% + \normalsize% +} + +% Used by @verbinclude +\newenvironment{DoxyVerbInclude}{% + \DoxyVerb% +}{% + \endDoxyVerb% +} + +% Used by numbered lists (using '-#' or
    ...
) +\newenvironment{DoxyEnumerate}{% + \enumerate% +}{% + \endenumerate% +} + +% Used by bullet lists (using '-', @li, @arg, or
    ...
) +\newenvironment{DoxyItemize}{% + \itemize% +}{% + \enditemize% +} + +% Used by description lists (using
...
) +\newenvironment{DoxyDescription}{% + \description% +}{% + \enddescription% +} + +% Used by @image, @dotfile, @dot ... @enddot, and @msc ... @endmsc +% (only if caption is specified) +\newenvironment{DoxyImage}{% + \begin{figure}[H]% + \centering% +}{% + \end{figure}% +} + +% Used by @image, @dotfile, @dot ... @enddot, and @msc ... @endmsc +% (only if no caption is specified) +\newenvironment{DoxyImageNoCaption}{% + \begin{center}% +}{% + \end{center}% +} + +% Used by @image +% (only if inline is specified) +\newenvironment{DoxyInlineImage}{% +}{% +} + +% Used by @attention +\newenvironment{DoxyAttention}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @author and @authors +\newenvironment{DoxyAuthor}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @date +\newenvironment{DoxyDate}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @invariant +\newenvironment{DoxyInvariant}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @note +\newenvironment{DoxyNote}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @post +\newenvironment{DoxyPostcond}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @pre +\newenvironment{DoxyPrecond}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @copyright +\newenvironment{DoxyCopyright}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @remark +\newenvironment{DoxyRemark}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @return and @returns +\newenvironment{DoxyReturn}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @since +\newenvironment{DoxySince}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @see +\newenvironment{DoxySeeAlso}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @version +\newenvironment{DoxyVersion}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @warning +\newenvironment{DoxyWarning}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by @internal +\newenvironment{DoxyInternal}[1]{% + \paragraph*{#1}% +}{% +} + +% Used by @par and @paragraph +\newenvironment{DoxyParagraph}[1]{% + \begin{DoxyDesc}{#1}% +}{% + \end{DoxyDesc}% +} + +% Used by parameter lists +\newenvironment{DoxyParams}[2][]{% + \tabulinesep=1mm% + \par% + \ifthenelse{\equal{#1}{}}% + {\begin{longtabu*}spread 0pt [l]{|X[-1,l]|X[-1,l]|}}% name + description + {\ifthenelse{\equal{#1}{1}}% + {\begin{longtabu*}spread 0pt [l]{|X[-1,l]|X[-1,l]|X[-1,l]|}}% in/out + name + desc + {\begin{longtabu*}spread 0pt [l]{|X[-1,l]|X[-1,l]|X[-1,l]|X[-1,l]|}}% in/out + type + name + desc + } + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #2}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #2}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used for fields of simple structs +\newenvironment{DoxyFields}[1]{% + \tabulinesep=1mm% + \par% + \begin{longtabu*}spread 0pt [l]{|X[-1,r]|X[-1,l]|X[-1,l]|}% + \multicolumn{3}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{3}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used for fields simple class style enums +\newenvironment{DoxyEnumFields}[1]{% + \tabulinesep=1mm% + \par% + \begin{longtabu*}spread 0pt [l]{|X[-1,r]|X[-1,l]|}% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used for parameters within a detailed function description +\newenvironment{DoxyParamCaption}{% + \renewcommand{\item}[2][]{\\ \hspace*{2.0cm} ##1 {\em ##2}}% +}{% +} + +% Used by return value lists +\newenvironment{DoxyRetVals}[1]{% + \tabulinesep=1mm% + \par% + \begin{longtabu*}spread 0pt [l]{|X[-1,r]|X[-1,l]|}% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used by exception lists +\newenvironment{DoxyExceptions}[1]{% + \tabulinesep=1mm% + \par% + \begin{longtabu*}spread 0pt [l]{|X[-1,r]|X[-1,l]|}% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used by template parameter lists +\newenvironment{DoxyTemplParams}[1]{% + \tabulinesep=1mm% + \par% + \begin{longtabu*}spread 0pt [l]{|X[-1,r]|X[-1,l]|}% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endfirsthead% + \multicolumn{2}{l}{\hspace{-6pt}\bfseries\fontseries{bc}\selectfont\color{darkgray} #1}\\[1ex]% + \hline% + \endhead% +}{% + \end{longtabu*}% + \vspace{6pt}% +} + +% Used for member lists +\newenvironment{DoxyCompactItemize}{% + \begin{itemize}% + \setlength{\itemsep}{-3pt}% + \setlength{\parsep}{0pt}% + \setlength{\topsep}{0pt}% + \setlength{\partopsep}{0pt}% +}{% + \end{itemize}% +} + +% Used for member descriptions +\newenvironment{DoxyCompactList}{% + \begin{list}{}{% + \setlength{\leftmargin}{0.5cm}% + \setlength{\itemsep}{0pt}% + \setlength{\parsep}{0pt}% + \setlength{\topsep}{0pt}% + \renewcommand{\makelabel}{\hfill}% + }% +}{% + \end{list}% +} + +% Used for reference lists (@bug, @deprecated, @todo, etc.) +\newenvironment{DoxyRefList}{% + \begin{list}{}{% + \setlength{\labelwidth}{10pt}% + \setlength{\leftmargin}{\labelwidth}% + \addtolength{\leftmargin}{\labelsep}% + \renewcommand{\makelabel}{\xreflabel}% + }% +}{% + \end{list}% +} + +% Used by @bug, @deprecated, @todo, etc. +\newenvironment{DoxyRefDesc}[1]{% + \begin{list}{}{% + \renewcommand\makelabel[1]{\textbf{##1}}% + \settowidth\labelwidth{\makelabel{#1}}% + \setlength\leftmargin{\labelwidth+\labelsep}% + }% +}{% + \end{list}% +} + +% Used by parameter lists and simple sections +\newenvironment{Desc} +{\begin{list}{}{% + \settowidth{\labelwidth}{20pt}% + \setlength{\parsep}{0pt}% + \setlength{\itemsep}{0pt}% + \setlength{\leftmargin}{\labelwidth+\labelsep}% + \renewcommand{\makelabel}{\entrylabel}% + } +}{% + \end{list}% +} + +% Used by tables +\newcommand{\PBS}[1]{\let\temp=\\#1\let\\=\temp}% +\newenvironment{TabularC}[1]% +{\tabulinesep=1mm +\begin{longtabu*}spread 0pt [c]{*#1{|X[-1]}|}}% +{\end{longtabu*}\par}% + +\newenvironment{TabularNC}[1]% +{\begin{tabu}spread 0pt [l]{*#1{|X[-1]}|}}% +{\end{tabu}\par}% + +% Used for member group headers +\newenvironment{Indent}{% + \begin{list}{}{% + \setlength{\leftmargin}{0.5cm}% + }% + \item[]\ignorespaces% +}{% + \unskip% + \end{list}% +} + +% Used when hyperlinks are turned off +\newcommand{\doxyref}[3]{% + \textbf{#1} (\textnormal{#2}\,\pageref{#3})% +} + +% Used to link to a table when hyperlinks are turned on +\newcommand{\doxytablelink}[2]{% + \ref{#1}% +} + +% Used to link to a table when hyperlinks are turned off +\newcommand{\doxytableref}[3]{% + \ref{#3}% +} + +% Used by @addindex +\newcommand{\lcurly}{\{} +\newcommand{\rcurly}{\}} + +% Colors used for syntax highlighting +\definecolor{comment}{rgb}{0.5,0.0,0.0} +\definecolor{keyword}{rgb}{0.0,0.5,0.0} +\definecolor{keywordtype}{rgb}{0.38,0.25,0.125} +\definecolor{keywordflow}{rgb}{0.88,0.5,0.0} +\definecolor{preprocessor}{rgb}{0.5,0.38,0.125} +\definecolor{stringliteral}{rgb}{0.0,0.125,0.25} +\definecolor{charliteral}{rgb}{0.0,0.5,0.5} +\definecolor{vhdldigit}{rgb}{1.0,0.0,1.0} +\definecolor{vhdlkeyword}{rgb}{0.43,0.0,0.43} +\definecolor{vhdllogic}{rgb}{1.0,0.0,0.0} +\definecolor{vhdlchar}{rgb}{0.0,0.0,0.0} + +% Color used for table heading +\newcommand{\tableheadbgcolor}{lightgray}% + +% Version of hypertarget with correct landing location +\newcommand{\Hypertarget}[1]{\Hy@raisedlink{\hypertarget{#1}{}}} + +% possibility to have sections etc. be within the margins +% unfortunately had to copy part of book.cls and add \raggedright +\makeatletter +\newcommand\doxysection{\@startsection {section}{1}{\z@}% + {-3.5ex \@plus -1ex \@minus -.2ex}% + {2.3ex \@plus.2ex}% + {\raggedright\normalfont\Large\bfseries}} +\newcommand\doxysubsection{\@startsection{subsection}{2}{\z@}% + {-3.25ex\@plus -1ex \@minus -.2ex}% + {1.5ex \@plus .2ex}% + {\raggedright\normalfont\large\bfseries}} +\newcommand\doxysubsubsection{\@startsection{subsubsection}{3}{\z@}% + {-3.25ex\@plus -1ex \@minus -.2ex}% + {1.5ex \@plus .2ex}% + {\raggedright\normalfont\normalsize\bfseries}} +\newcommand\doxyparagraph{\@startsection{paragraph}{4}{\z@}% + {3.25ex \@plus1ex \@minus.2ex}% + {-1em}% + {\raggedright\normalfont\normalsize\bfseries}} +\newcommand\doxysubparagraph{\@startsection{subparagraph}{5}{\parindent}% + {3.25ex \@plus1ex \@minus .2ex}% + {-1em}% + {\raggedright\normalfont\normalsize\bfseries}} +\makeatother +% Define caption that is also suitable in a table +\makeatletter +\def\doxyfigcaption{% +\H@refstepcounter{figure}% +\@dblarg{\@caption{figure}}} +\makeatother diff --git a/doc/input/intro.md b/doc/input/intro.md index d140bcc6..b474f652 100644 --- a/doc/input/intro.md +++ b/doc/input/intro.md @@ -3,7 +3,7 @@ CLASS: Cosmic Linear Anisotropy Solving System Author: Julien Lesgourgues -_This manual is under construction; this is only a provisional version. The definitive version will be made available soon, as well as all the necessary documentation to generate new versions of the manual. Currently the introduction is outdated and the definitions for some specific variables in the header files are missing. There are also some unresolved formatting issues in the documentation for spectra.c and transfer.c, which will be corrected shortly._ +_This manual is under construction; this is only a provisional version. The definitive version will be made available soon, as well as all the necessary documentation to generate new versions of the manual. Currently the introduction is outdated and the definitions for some specific variables in the header files are missing. There are also some unresolved formatting issues in the documentation for harmonic.c and transfer.c, which will be corrected shortly._ Overall architecture of `class` ========================================== @@ -41,17 +41,17 @@ structure: 1. `struct background ` for cosmological background, -2. `struct thermo ` for thermodynamics, +2. `struct thermodynamics ` for thermodynamics, -3. `struct perturbs ` for source functions, +3. `struct perturbations ` for source functions, 4. `struct bessels ` for bessel functions, -5. `struct transfers ` for transfer functions, +5. `struct transfer ` for transfer functions, 6. `struct primordial ` for primordial spectra, -7. `struct spectra ` for output spectra. +7. `struct harmonic ` for output spectra. A given structure contains “everything concerning one step that the subsequent steps need to know” (for instance, everything about source @@ -81,7 +81,7 @@ Each structure is defined and filled in one of the following modules 6. `primordial.c ` -7. `spectra.c ` +7. `harmonic.c ` Each of these modules contains at least three functions: @@ -184,13 +184,13 @@ steps after `output\_init(...)`: primordial\_free() -input\_init(&ba,&th,&pt,&bs,&tr,&pm,&sp,&op) +input\_init(&ba,&th,&pt,&bs,&tr,&pm,&hr,&op) primordial\_init(&pt,&pr,&pm) -spectra\_init(&pt,&tr,&pm,&sp) +spectra\_init(&pt,&tr,&pm,&hr) -output\_init(&pt,&tr,&sp,&op) +output\_init(&pt,&tr,&hr,&op) ` diff --git a/doc/input/make1.sh b/doc/input/make1.sh old mode 100644 new mode 100755 index 334e3d72..e34812a2 --- a/doc/input/make1.sh +++ b/doc/input/make1.sh @@ -1,5 +1,14 @@ #!/bin/bash - + +# Let doxygen parse the code, with settings described in doxyconf. +# This will produce the html doc, as well as the .tex files necessary for the +# pdf doc. doxygen doxyconf -cp doxygen.sty ../manual/latex/doxygen.sty \ No newline at end of file +# The repository contains a doxygen.sty file generated automatically +# with the command 'doxygen -w latex header.tex footer.tex doxygen.sty +# doxyconf'. As long as the latex compilation works, this file can +# just be copied to the directory where the latex compilation is +# done. However, a new doxygen.sty should be generated after each +# change of doxyconf or with each new version of doxygen. +cp doxygen.sty ../manual/latex/doxygen.sty diff --git a/doc/input/make2.sh b/doc/input/make2.sh old mode 100644 new mode 100755 index 61d2fc13..4f97fdb2 --- a/doc/input/make2.sh +++ b/doc/input/make2.sh @@ -1,5 +1,7 @@ #!/bin/bash +# go to the directory doc/manual/latex and compile the latex files to +# produce the pdf doc cd ../manual/latex make diff --git a/doc/input/mod.md b/doc/input/mod.md index d38cd9b6..644d7b68 100644 --- a/doc/input/mod.md +++ b/doc/input/mod.md @@ -29,12 +29,12 @@ This will generate a new version of the html manual and the necessary files to m after - {\Large C\+L\+A\+SS M\+A\+N\+U\+AL }\\ + {\Large CLASS MANUAL }\\ and move manually the chapters `"The external Pk mode"` and `"Updating the manual"` to the end, after the automatically generated part. Once you have this file with your desired configuration, navigate back to the class/doc/input directory, and run the second script ` . make2.sh` -You should now be able to find the finished pdf in `class/doc/manual/CLASS_MANUAL.pdf`. Finally you can commit the changes to git, but not all the content of `doc/` is necessary: only `doc/README`, `doc/input/`, `doc/manual/CLASS_MANUAL.pdf`, `doc/manual/html/`. This means that before committing you will have to do a: `git add doc/manual/html/`, but NOT a: `git add doc/manual/latex/`! +You should now be able to find the finished pdf in `class/doc/manual/CLASS_MANUAL.pdf`. Finally you can commit the changes to git, but not all the content of `doc/` is necessary: only `doc/README`, `doc/input/` and `doc/manual/CLASS_MANUAL.pdf`. Since version 2.8, we are not committing anymore `doc/manual/html/` because it was too big (and complicating the version history): users only get the PDF manual from git. As a final comment, doxygen uses two main configuration files: `doxyconf` and `doxygen.sty`, both located in class/doc/input. Changes to these files can dramatically impact the outcome, so any modifications to these files should be done with great care. diff --git a/doc/manual/CLASS_MANUAL.pdf b/doc/manual/CLASS_MANUAL.pdf index 8e7dca5e..0d40d48f 100644 Binary files a/doc/manual/CLASS_MANUAL.pdf and b/doc/manual/CLASS_MANUAL.pdf differ diff --git a/doc/manual/html/annotated.html b/doc/manual/html/annotated.html deleted file mode 100644 index a3ec126c..00000000 --- a/doc/manual/html/annotated.html +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Structures - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
Data Structures
-
-
-
Here are the data structures with brief descriptions:
- - - - - - - - - - - - - - - - - - - - -
 Cbackground
 Cbackground_parameters_and_workspace
 Cbackground_parameters_for_distributions
 Clensing
 Cnonlinear
 Coutput
 Cperturb_parameters_and_workspace
 Cperturb_vector
 Cperturb_workspace
 Cperturbs
 Cprecision
 Cprimordial
 Crecombination
 Creionization
 Cspectra
 Cthermo
 Cthermodynamics_parameters_and_workspace
 Ctransfer_workspace
 Ctransfers
-
-
-
- - - - diff --git a/doc/manual/html/annotated.js b/doc/manual/html/annotated.js deleted file mode 100644 index 8bf09f49..00000000 --- a/doc/manual/html/annotated.js +++ /dev/null @@ -1,22 +0,0 @@ -var annotated = -[ - [ "background", "background_8h.html#structbackground", "background_8h_structbackground" ], - [ "background_parameters_and_workspace", "background_8h.html#structbackground__parameters__and__workspace", null ], - [ "background_parameters_for_distributions", "background_8h.html#structbackground__parameters__for__distributions", null ], - [ "lensing", "lensing_8h.html#structlensing", "lensing_8h_structlensing" ], - [ "nonlinear", "nonlinear_8h.html#structnonlinear", "nonlinear_8h_structnonlinear" ], - [ "output", "output_8h.html#structoutput", "output_8h_structoutput" ], - [ "perturb_parameters_and_workspace", "perturbations_8h.html#structperturb__parameters__and__workspace", "perturbations_8h_structperturb__parameters__and__workspace" ], - [ "perturb_vector", "perturbations_8h.html#structperturb__vector", "perturbations_8h_structperturb__vector" ], - [ "perturb_workspace", "perturbations_8h.html#structperturb__workspace", "perturbations_8h_structperturb__workspace" ], - [ "perturbs", "perturbations_8h.html#structperturbs", "perturbations_8h_structperturbs" ], - [ "precision", "common_8h.html#structprecision", "common_8h_structprecision" ], - [ "primordial", "primordial_8h.html#structprimordial", "primordial_8h_structprimordial" ], - [ "recombination", "thermodynamics_8h.html#structrecombination", "thermodynamics_8h_structrecombination" ], - [ "reionization", "thermodynamics_8h.html#structreionization", "thermodynamics_8h_structreionization" ], - [ "spectra", "spectra_8h.html#structspectra", "spectra_8h_structspectra" ], - [ "thermo", "thermodynamics_8h.html#structthermo", "thermodynamics_8h_structthermo" ], - [ "thermodynamics_parameters_and_workspace", "thermodynamics_8h.html#structthermodynamics__parameters__and__workspace", null ], - [ "transfer_workspace", "transfer_8h.html#structtransfer__workspace", "transfer_8h_structtransfer__workspace" ], - [ "transfers", "transfer_8h.html#structtransfers", "transfer_8h_structtransfers" ] -]; \ No newline at end of file diff --git a/doc/manual/html/annotated_dup.js b/doc/manual/html/annotated_dup.js deleted file mode 100644 index 3eec95fc..00000000 --- a/doc/manual/html/annotated_dup.js +++ /dev/null @@ -1,22 +0,0 @@ -var annotated_dup = -[ - [ "background", "background_8h.html#structbackground", "background_8h_structbackground" ], - [ "background_parameters_and_workspace", "background_8h.html#structbackground__parameters__and__workspace", null ], - [ "background_parameters_for_distributions", "background_8h.html#structbackground__parameters__for__distributions", null ], - [ "lensing", "lensing_8h.html#structlensing", "lensing_8h_structlensing" ], - [ "nonlinear", "structnonlinear.html", "structnonlinear" ], - [ "output", "output_8h.html#structoutput", "output_8h_structoutput" ], - [ "perturb_parameters_and_workspace", "perturbations_8h.html#structperturb__parameters__and__workspace", "perturbations_8h_structperturb__parameters__and__workspace" ], - [ "perturb_vector", "perturbations_8h.html#structperturb__vector", "perturbations_8h_structperturb__vector" ], - [ "perturb_workspace", "perturbations_8h.html#structperturb__workspace", "perturbations_8h_structperturb__workspace" ], - [ "perturbs", "perturbations_8h.html#structperturbs", "perturbations_8h_structperturbs" ], - [ "precision", "common_8h.html#structprecision", "common_8h_structprecision" ], - [ "primordial", "primordial_8h.html#structprimordial", "primordial_8h_structprimordial" ], - [ "recombination", "thermodynamics_8h.html#structrecombination", "thermodynamics_8h_structrecombination" ], - [ "reionization", "thermodynamics_8h.html#structreionization", "thermodynamics_8h_structreionization" ], - [ "spectra", "spectra_8h.html#structspectra", "spectra_8h_structspectra" ], - [ "thermo", "thermodynamics_8h.html#structthermo", "thermodynamics_8h_structthermo" ], - [ "thermodynamics_parameters_and_workspace", "thermodynamics_8h.html#structthermodynamics__parameters__and__workspace", null ], - [ "transfer_workspace", "transfer_8h.html#structtransfer__workspace", "transfer_8h_structtransfer__workspace" ], - [ "transfers", "transfer_8h.html#structtransfers", "transfer_8h_structtransfers" ] -]; \ No newline at end of file diff --git a/doc/manual/html/arrays_8h_source.html b/doc/manual/html/arrays_8h_source.html deleted file mode 100644 index 118dc398..00000000 --- a/doc/manual/html/arrays_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: arrays.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
arrays.h
-
-
-
1 
5 #ifndef __ARRAYS__
6 #define __ARRAYS__
7 
8 #include "common.h"
9 
10 #define _SPLINE_NATURAL_ 0
11 #define _SPLINE_EST_DERIV_ 1
16 #ifdef __cplusplus
17 extern "C" {
18 #endif
19 
20  int array_derive(
21  double * array,
22  int n_columns,
23  int n_lines,
24  int index_x,
25  int index_y,
26  int index_dydx,
27  ErrorMsg errmsg);
28 
29  int array_derive_spline(
30  double * x_array,
31  int n_lines,
32  double * array,
33  double * array_splined,
34  int n_columns,
35  int index_y,
36  int index_dydx,
37  ErrorMsg errmsg);
38 
39  int array_derive_spline_table_line_to_line(
40  double * x_array,
41  int n_lines,
42  double * array,
43  int n_columns,
44  int index_y,
45  int index_ddy,
46  int index_dy,
47  ErrorMsg errmsg);
48 
49  int array_derive1_order2_table_line_to_line(
50  double * x_array,
51  int n_lines,
52  double * array,
53  int n_columns,
54  int index_y,
55  int index_dy,
56  ErrorMsg errmsg);
57 
58  int array_derive2_order2_table_line_to_line(
59  double * x_array,
60  int n_lines,
61  double * array,
62  int n_columns,
63  int index_y,
64  int index_dy,
65  int index_ddy,
66  ErrorMsg errmsg);
67 
68  int array_derive_two(
69  double * array,
70  int n_columns,
71  int n_lines,
72  int index_x,
73  int index_y,
74  int index_dydx,
75  int index_ddydxdx,
76  ErrorMsg errmsg);
77 
78 
79 
80  int array_spline(
81  double * array,
82  int n_columns,
83  int n_lines,
84  int index_x,
85  int index_y,
86  int index_ddydx2,
87  short spline_mode,
88  ErrorMsg errmsg);
89 
90  int array_spline_table_line_to_line(
91  double * x, /* vector of size x_size */
92  int x_size,
93  double * array,
94  int n_columns,
95  int index_y,
96  int index_ddydx2,
97  short spline_mode,
98  ErrorMsg errmsg);
99 
100  int array_spline_table_columns(
101  double * x,
102  int x_size,
103  double * y_array,
104  int y_size,
105  double * ddy_array,
106  short spline_mode,
107  ErrorMsg errmsg);
108 
109  int array_spline_table_columns2(
110  double * x,
111  int x_size,
112  double * y_array,
113  int y_size,
114  double * ddy_array,
115  short spline_mode,
116  ErrorMsg errmsg);
117 
118  int array_spline_table_lines(
119  double * x,
120  int x_size,
121  double * y_array,
122  int y_size,
123  double * ddy_array,
124  short spline_mode,
125  ErrorMsg errmsg
126  );
127 
128  int array_logspline_table_lines(
129  double * x,
130  int x_size,
131  double * y_array,
132  int y_size,
133  double * ddlny_array,
134  short spline_mode,
135  ErrorMsg errmsg
136  );
137 
138  int array_spline_table_one_column(
139  double * x, /* vector of size x_size */
140  int x_size,
141  double * y_array, /* array of size x_size*y_size with elements
142  y_array[index_y*x_size+index_x] */
143  int y_size,
144  int index_y,
145  double * ddy_array, /* array of size x_size*y_size */
146  short spline_mode,
147  ErrorMsg errmsg
148  );
149 
150  int array_logspline_table_one_column(
151  double * x, /* vector of size x_size */
152  int x_size,
153  int x_stop,
154  double * y_array, /* array of size x_size*y_size with elements
155  y_array[index_y*x_size+index_x] */
156  int y_size,
157  int index_y,
158  double * ddlogy_array, /* array of size x_size*y_size */
159  short spline_mode,
160  ErrorMsg errmsg
161  );
162 
163  int array_integrate_all_spline(
164  double * array,
165  int n_columns,
166  int n_lines,
167  int index_x,
168  int index_y,
169  int index_ddy,
170  double * result,
171  ErrorMsg errmsg
172  );
173 
174 int array_integrate_all_trapzd_or_spline(
175  double * array,
176  int n_columns,
177  int n_lines,
178  int index_start_spline,
179  int index_x,
180  int index_y,
181  int index_ddy,
182  double * result,
183  ErrorMsg errmsg);
184 
185  int array_integrate_spline_table_line_to_line(
186  double * x_array,
187  int n_lines,
188  double * array,
189  int n_columns,
190  int index_y,
191  int index_ddy,
192  int index_inty,
193  ErrorMsg errmsg);
194 
195  int array_integrate(
196  double * array,
197  int n_columns,
198  int n_lines,
199  int index_x,
200  int index_y,
201  int index_int_y_dx,
202  ErrorMsg errmsg);
203 
204  int array_integrate_all(
205  double * array,
206  int n_columns,
207  int n_lines,
208  int index_x,
209  int index_y,
210  double * result);
211 
212  int array_integrate_ratio(
213  double * array,
214  int n_columns,
215  int n_lines,
216  int index_x,
217  int index_y1,
218  int index_y2,
219  int index_int_y1_over_y2_dx,
220  ErrorMsg errmsg);
221 
222  int array_interpolate(
223  double * array,
224  int n_columns,
225  int n_lines,
226  int index_x,
227  double x,
228  int * last_index,
229  double * result,
230  int result_size,
231  ErrorMsg errmsg);
233  int array_interpolate_spline(
234  double * __restrict__ x_array,
235  int n_lines,
236  double * __restrict__ array,
237  double * __restrict__ array_splined,
238  int n_columns,
239  double x,
240  int * __restrict__ last_index,
241  double * __restrict__ result,
242  int result_size,
243  ErrorMsg errmsg);
244 
245  int array_interpolate_linear(
246  double * x_array,
247  int n_lines,
248  double * array,
249  int n_columns,
250  double x,
251  int * last_index,
252  double * result,
253  int result_size,
254  ErrorMsg errmsg);
255 
256  int array_interpolate_growing_closeby(
257  double * array,
258  int n_columns,
259  int n_lines,
260  int index_x,
261  double x,
262  int * last_index,
263  double * result,
264  int result_size,
265  ErrorMsg errmsg);
266 
267  int array_interpolate_one_growing_closeby(
268  double * array,
269  int n_columns,
270  int n_lines,
271  int index_x,
272  double x,
273  int * last_index,
274  int index_y,
275  double * result,
276  ErrorMsg errmsg);
277 
278  int array_interpolate_spline_growing_closeby(
279  double * x_array,
280  int n_lines,
281  double * array,
282  double * array_splined,
283  int n_columns,
284  double x,
285  int * last_index,
286  double * result,
287  int result_size,
288  ErrorMsg errmsg);
289 
290  int array_interpolate_spline_growing_hunt(
291  double * x_array,
292  int n_lines,
293  double * array,
294  double * array_splined,
295  int n_columns,
296  double x,
297  int * last_index,
298  double * result,
299  int result_size,
300  ErrorMsg errmsg);
301 
302  int array_interpolate_two(
303  double * array_x,
304  int n_columns_x,
305  int index_x,
306  double * array_y,
307  int n_columns_y,
308  int n_lines,
309  double x,
310  double * result,
311  int result_size,
312  ErrorMsg errmsg);
313 
314  int array_interpolate_two_bis(
315  double * array_x,
316  int n_columns_x,
317  int index_x,
318  double * array_y,
319  int n_columns_y,
320  int n_lines,
321  double x,
322  double * result,
323  int result_size,
324  ErrorMsg errmsg);
325 
326  int array_interpolate_spline_one_column(
327  double * x_array,
328  int x_size,
329  double * y_array, /* array of size x_size*y_size with elements
330  y_array[index_y*x_size+index_x] */
331  int y_size,
332  int index_y,
333  double * ddy_array, /* array of size x_size*y_size */
334  double x, /* input */
335  double * y, /* output */
336  ErrorMsg errmsg
337  );
338 
339  int array_interpolate_extrapolate_spline_one_column(
340  double * x_array,
341  int x_size,
342  double * y_array, /* array of size x_size*y_size with elements
343  y_array[index_y*x_size+index_x] */
344  int y_size,
345  int index_y,
346  double * ddy_array, /* array of size x_size*y_size */
347  double x, /* input */
348  double * y, /* output */
349  ErrorMsg errmsg
350  );
351 
352  int array_interpolate_extrapolate_logspline_loglinear_one_column(
353  double * x_array,
354  int x_size,
355  int x_stop,
356  double * y_array, /* array of size x_size*y_size with elements
357  y_array[index_y*x_size+index_x] */
358  int y_size,
359  int index_y,
360  double * ddlogy_array, /* array of size x_size*y_size */
361  double x, /* input */
362  double * y, /* output */
363  ErrorMsg errmsg
364  );
365 
366  int array_interpolate_two_arrays_one_column(
367  double * array_x, /* assumed to be a vector (i.e. one column array) */
368  double * array_y,
369  int n_columns_y,
370  int index_y, /* between 0 and (n_columns_y-1) */
371  int n_lines,
372  double x,
373  double * result,
374  ErrorMsg errmsg);
375 
376  int array_interpolate_equal(
377  double * array,
378  int n_colums,
379  int n_lines,
380  double x,
381  double x_min,
382  double x_max,
383  double * result,
384  ErrorMsg errmsg);
385 
386  int array_interpolate_cubic_equal(
387  double x0,
388  double dx,
389  double *yarray,
390  int Nx,
391  double x,
392  double * result,
393  ErrorMsg errmsg);
394 
395  int array_interpolate_parabola(double x1,
396  double x2,
397  double x3,
398  double x,
399  double y1,
400  double y2,
401  double y3,
402  double * y,
403  double * dy,
404  double * ddy,
405  ErrorMsg errmsg);
406 
407  int array_smooth(double * array,
408  int n_columns,
409  int n_lines,
410  int index,
411  int radius,
412  ErrorMsg errmsg);
413 
414  int array_trapezoidal_weights(double * __restrict__ x,
415  int n,
416  double * __restrict__ w_trapz,
417  ErrorMsg errmsg);
418 
419  int array_trapezoidal_mweights(double * __restrict__ x,
420  int n,
421  double * __restrict__ w_trapz,
422  ErrorMsg errmsg);
423 
424  int array_trapezoidal_integral(double * __restrict__ integrand,
425  int n,
426  double * __restrict__ w_trapz,
427  double * __restrict__ I,
428  ErrorMsg errmsg);
429 
430  int array_trapezoidal_convolution(double * __restrict__ integrand1,
431  double * __restrict__ integrand2,
432  int n,
433  double * __restrict__ w_trapz,
434  double * __restrict__ I,
435  ErrorMsg errmsg);
436 
437 #ifdef __cplusplus
438 }
439 #endif
440 
441 #endif
-
-
- - - - diff --git a/doc/manual/html/arrowdown.png b/doc/manual/html/arrowdown.png deleted file mode 100644 index 9aaec399..00000000 Binary files a/doc/manual/html/arrowdown.png and /dev/null differ diff --git a/doc/manual/html/arrowright.png b/doc/manual/html/arrowright.png deleted file mode 100644 index bdcff615..00000000 Binary files a/doc/manual/html/arrowright.png and /dev/null differ diff --git a/doc/manual/html/background_8c.html b/doc/manual/html/background_8c.html deleted file mode 100644 index 3847cb3d..00000000 --- a/doc/manual/html/background_8c.html +++ /dev/null @@ -1,1389 +0,0 @@ - - - - - - - -CLASS MANUAL: background.c File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Functions
-
-
background.c File Reference
-
-
-
#include "background.h"
-
- + Include dependency graph for background.c:
-
-
- -
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

-Functions

int background_at_tau (struct background *pba, double tau, short return_format, short intermode, int *last_index, double *pvecback)
 
int background_tau_of_z (struct background *pba, double z, double *tau)
 
int background_functions (struct background *pba, double *pvecback_B, short return_format, double *pvecback)
 
int background_w_fld (struct background *pba, double a, double *w_fld, double *dw_over_da_fld, double *integral_fld)
 
int background_init (struct precision *ppr, struct background *pba)
 
int background_free (struct background *pba)
 
int background_free_noinput (struct background *pba)
 
int background_free_input (struct background *pba)
 
int background_indices (struct background *pba)
 
int background_ncdm_distribution (void *pbadist, double q, double *f0)
 
int background_ncdm_test_function (void *pbadist, double q, double *test)
 
int background_ncdm_init (struct precision *ppr, struct background *pba)
 
int background_ncdm_momenta (double *qvec, double *wvec, int qsize, double M, double factor, double z, double *n, double *rho, double *p, double *drho_dM, double *pseudo_p)
 
int background_ncdm_M_from_Omega (struct precision *ppr, struct background *pba, int n_ncdm)
 
int background_solve (struct precision *ppr, struct background *pba)
 
int background_initial_conditions (struct precision *ppr, struct background *pba, double *pvecback, double *pvecback_integration)
 
int background_find_equality (struct precision *ppr, struct background *pba)
 
int background_output_titles (struct background *pba, char titles[_MAXTITLESTRINGLENGTH_])
 
int background_output_data (struct background *pba, int number_of_titles, double *data)
 
int background_derivs (double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
 
double V_e_scf (struct background *pba, double phi)
 
double V_p_scf (struct background *pba, double phi)
 
double V_scf (struct background *pba, double phi)
 
-

Detailed Description

-

Documented background module

-
    -
  • Julien Lesgourgues, 17.04.2011
    • -
  • routines related to ncdm written by T. Tram in 2011
    • -
-

Deals with the cosmological background evolution. This module has two purposes:

-
    -
  • at the beginning, to initialize the background, i.e. to integrate the background equations, and store all background quantities as a function of conformal time inside an interpolation table.
    • -
  • to provide routines which allow other modules to evaluate any background quantity for a given value of the conformal time (by interpolating within the interpolation table), or to find the correspondence between redshift and conformal time.
    • -
-

The overall logic in this module is the following:

-
    -
  1. most background parameters that we will call {A} (e.g. rho_gamma, ..) can be expressed as simple analytical functions of a few variables that we will call {B} (in simplest models, of the scale factor 'a'; in extended cosmologies, of 'a' plus e.g. (phi, phidot) for quintessence, or some temperature for exotic particles, etc...).
    2. -
  2. in turn, quantities {B} can be found as a function of conformal time by integrating the background equations.
    3. -
  3. some other quantities that we will call {C} (like e.g. the sound horizon or proper time) also require an integration with respect to time, that cannot be inferred analytically from parameters {B}.
    4. -
-

So, we define the following routines:

-
    -
  • background_functions() returns all background quantities {A} as a function of quantities {B}.
    • -
  • background_solve() integrates the quantities {B} and {C} with respect to conformal time; this integration requires many calls to background_functions().
    • -
  • the result is stored in the form of a big table in the background structure. There is one column for conformal time 'tau'; one or more for quantities {B}; then several columns for quantities {A} and {C}.
    • -
-

Later in the code, if we know the variables {B} and need some quantity {A}, the quickest and most precise way is to call directly background_functions() (for instance, in simple models, if we want H at a given value of the scale factor). If we know 'tau' and want any other quantity, we can call background_at_tau(), which interpolates in the table and returns all values. Finally it can be useful to get 'tau' for a given redshift 'z': this can be done with background_tau_of_z(). So if we are somewhere in the code, knowing z and willing to get background quantities, we should call first background_tau_of_z() and then background_at_tau().

-

In order to save time, background_at_tau() can be called in three modes: short_info, normal_info, long_info (returning only essential quantities, or useful quantities, or rarely useful quantities). Each line in the interpolation table is a vector whose first few elements correspond to the short_info format; a larger fraction contribute to the normal format; and the full vector corresponds to the long format. The guideline is that short_info returns only geometric quantities like a, H, H'; normal format returns quantities strictly needed at each step in the integration of perturbations; long_info returns quantities needed only occasionally.

-

In summary, the following functions can be called from other modules:

-
    -
  1. background_init() at the beginning
    2. -
  2. background_at_tau(), background_tau_of_z() at any later time
    3. -
  3. background_free() at the end, when no more calls to the previous functions are needed
    4. -
-

Function Documentation

- -

◆ background_at_tau()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_at_tau (struct background * pba,
double tau,
short return_format,
short intermode,
int * last_index,
double * pvecback 
)
-
-

Background quantities at given conformal time tau.

-

Evaluates all background quantities at a given value of conformal time by reading the pre-computed table and interpolating.

-
Parameters
- - - - - - - -
pbaInput: pointer to background structure (containing pre-computed table)
tauInput: value of conformal time
return_formatInput: format of output vector (short, normal, long)
intermodeInput: interpolation mode (normal or closeby)
last_indexInput/Output: index of the previous/current point in the interpolation array (input only for closeby mode, output for both)
pvecbackOutput: vector (assumed to be already allocated)
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -
  • check that tau is in the pre-computed range
    • -
  • deduce length of returned vector from format mode
    • -
  • interpolate from pre-computed table with array_interpolate() or array_interpolate_growing_closeby() (depending on interpolation mode)
    • -
- -
-
- -

◆ background_tau_of_z()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int background_tau_of_z (struct background * pba,
double z,
double * tau 
)
-
-

Conformal time at given redshift.

-

Returns tau(z) by interpolation from pre-computed table.

-
Parameters
- - - - -
pbaInput: pointer to background structure
zInput: redshift
tauOutput: conformal time
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -
  • check that $ z $ is in the pre-computed range
    • -
  • interpolate from pre-computed table with array_interpolate()
    • -
- -
-
- -

◆ background_functions()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_functions (struct background * pba,
double * pvecback_B,
short return_format,
double * pvecback 
)
-
-

Background quantities at given $ a $.

-

Function evaluating all background quantities which can be computed analytically as a function of {B} parameters such as the scale factor 'a' (see discussion at the beginning of this file). In extended cosmological models, the pvecback_B vector contains other input parameters than just 'a', e.g. (phi, phidot) for quintessence, some temperature of exotic relics, etc...

-
Parameters
- - - - - -
pbaInput: pointer to background structure
pvecback_BInput: vector containing all {B} type quantities (scale factor, ...)
return_formatInput: format of output vector
pvecbackOutput: vector of background quantities (assumed to be already allocated)
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -
  • initialize local variables
    • -
  • pass value of $ a$ to output
    • -
  • compute each component's density and pressure
    • -
  • compute expansion rate H from Friedmann equation: this is the only place where the Friedmann equation is assumed. Remember that densities are all expressed in units of $ [3c^2/8\pi G] $, ie $ \rho_{class} = [8 \pi G \rho_{physical} / 3 c^2]$
    • -
  • compute derivative of H with respect to conformal time
    • -
  • compute relativistic density to total density ratio
    • -
  • compute other quantities in the exhaustive, redundant format
    • -
  • compute critical density
    • -
  • compute Omega_m
    • -
- -
-
- -

◆ background_w_fld()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_w_fld (struct background * pba,
double a,
double * w_fld,
double * dw_over_da_fld,
double * integral_fld 
)
-
-

Single place where the fluid equation of state is defined. Parameters of the function are passed through the background structure. Generalisation to arbitrary functions should be simple.

-
Parameters
- - - - - - -
pbaInput: pointer to background structure
aInput: current value of scale factor
w_fldOutput: equation of state parameter w_fld(a)
dw_over_da_fldOutput: function dw_fld/da
integral_fldOutput: function $ \int_{a}^{a_0} da 3(1+w_{fld})/a $
-
-
-
Returns
the error status
-
    -
  • first, define the function w(a)
    • -
  • then, give the corresponding analytic derivative dw/da (used by perturbation equations; we could compute it numerically, but with a loss of precision; as long as there is a simple analytic expression of the derivative of the previous function, let's use it!
    • -
  • finally, give the analytic solution of the following integral: $ \int_{a}^{a0} da 3(1+w_{fld})/a $. This is used in only one place, in the initial conditions for the background, and with a=a_ini. If your w(a) does not lead to a simple analytic solution of this integral, no worry: instead of writing something here, the best would then be to leave it equal to zero, and then in background_initial_conditions() you should implement a numerical calculation of this integral only for a=a_ini, using for instance Romberg integration. It should be fast, simple, and accurate enough.
    • -
-

note: of course you can generalise these formulas to anything, defining new parameters pba->w..._fld. Just remember that so far, HyRec explicitely assumes that w(a)= w0 + wa (1-a/a0); but Recfast does not assume anything

- -
-
- -

◆ background_init()

- -
-
- - - - - - - - - - - - - - - - - - -
int background_init (struct precision * ppr,
struct background * pba 
)
-
-

Initialize the background structure, and in particular the background interpolation table.

-
Parameters
- - - -
pprInput: pointer to precision structure
pbaInput/Output: pointer to initialized background structure
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -
  • in verbose mode, provide some information
    • -
  • if shooting failed during input, catch the error here
    • -
  • assign values to all indices in vectors of background quantities with background_indices()
    • -
  • control that cosmological parameter values make sense
    • -
  • this function integrates the background over time, allocates and fills the background table
    • -
  • this function finds and stores a few derived parameters at radiation-matter equality
    • -
- -
-
- -

◆ background_free()

- -
-
- - - - - - - - -
int background_free (struct background * pba)
-
-

Free all memory space allocated by background_init().

-
Parameters
- - -
pbaInput: pointer to background structure (to be freed)
-
-
-
Returns
the error status
-
- + Here is the call graph for this function:
-
-
- - -
-
- -

◆ background_free_noinput()

- -
-
- - - - - - - - -
int background_free_noinput (struct background * pba)
-
-

Free only the memory space NOT allocated through input_read_parameters()

-
Parameters
- - -
pbaInput: pointer to background structure (to be freed)
-
-
-
Returns
the error status
- -
-
- -

◆ background_free_input()

- -
-
- - - - - - - - -
int background_free_input (struct background * pba)
-
-

Free pointers inside background structure which were allocated in input_read_parameters()

-
Parameters
- - -
pbaInput: pointer to background structure
-
-
-
Returns
the error status
-
- + Here is the caller graph for this function:
-
-
- - -
-
- -

◆ background_indices()

- -
-
- - - - - - - - -
int background_indices (struct background * pba)
-
-

Assign value to each relevant index in vectors of background quantities.

-
Parameters
- - -
pbaInput: pointer to background structure
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -
  • initialize all flags: which species are present?
    • -
  • initialize all indices
    • -
- -
-
- -

◆ background_ncdm_distribution()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int background_ncdm_distribution (void * pbadist,
double q,
double * f0 
)
-
-

This is the routine where the distribution function f0(q) of each ncdm species is specified (it is the only place to modify if you need a partlar f0(q))

-
Parameters
- - - - -
pbadistInput: structure containing all parameters defining f0(q)
qInput: momentum
f0Output: phase-space distribution
-
-
-
    -
  • extract from the input structure pbadist all the relevant information
    • -
  • shall we interpolate in file, or shall we use analytical formula below?
    • -
  • a) deal first with the case of interpolating in files
    • -
  • b) deal now with case of reading analytical function
    • -
-

Next enter your analytic expression(s) for the p.s.d.'s. If you need different p.s.d.'s for different species, put each p.s.d inside a condition, like for instance: if (n_ncdm==2) {*f0=...}. Remember that n_ncdm = 0 refers to the first species.

-

This form is only appropriate for approximate studies, since in reality the chemical potentials are associated with flavor eigenstates, not mass eigenstates. It is easy to take this into account by introducing the mixing angles. In the later part (not read by the code) we illustrate how to do this.

- -
-
- -

◆ background_ncdm_test_function()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int background_ncdm_test_function (void * pbadist,
double q,
double * test 
)
-
-

This function is only used for the purpose of finding optimal quadrature weights. The logic is: if we can accurately convolve f0(q) with this function, then we can convolve it accurately with any other relevant function.

-
Parameters
- - - - -
pbadistInput: structure containing all background parameters
qInput: momentum
testOutput: value of the test function test(q)
-
-
-

Using a + bq creates problems for otherwise acceptable distributions which diverges as $ 1/r $ or $ 1/r^2 $ for $ r\to 0 $

- -
-
- -

◆ background_ncdm_init()

- -
-
- - - - - - - - - - - - - - - - - - -
int background_ncdm_init (struct precision * ppr,
struct background * pba 
)
-
-

This function finds optimal quadrature weights for each ncdm species

-
Parameters
- - - -
pprInput: precision structure
pbaInput/Output: background structure
-
-
-

Automatic q-sampling for this species 

- in verbose mode, inform user of number of sampled momenta
-

for background quantities

-

Manual q-sampling for this species. Same sampling used for both perturbation and background sampling, since this will usually be a high precision setting anyway

-
    -
  • in verbose mode, inform user of number of sampled momenta for background quantities
    • -
- -
-
- -

◆ background_ncdm_momenta()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_ncdm_momenta (double * qvec,
double * wvec,
int qsize,
double M,
double factor,
double z,
double * n,
double * rho,
double * p,
double * drho_dM,
double * pseudo_p 
)
-
-

For a given ncdm species: given the quadrature weights, the mass and the redshift, find background quantities by a quick weighted sum over. Input parameters passed as NULL pointers are not evaluated for speed-up

-
Parameters
- - - - - - - - - - - - -
qvecInput: sampled momenta
wvecInput: quadrature weights
qsizeInput: number of momenta/weights
MInput: mass
factorInput: normalization factor for the p.s.d.
zInput: redshift
nOutput: number density
rhoOutput: energy density
pOutput: pressure
drho_dMOutput: derivative used in next function
pseudo_pOutput: pseudo-pressure used in perturbation module for fluid approx
-
-
-

Summary:

-
    -
  • rescale normalization at given redshift
    • -
  • initialize quantities
    • -
  • loop over momenta
    • -
  • adjust normalization
    • -
-
- + Here is the caller graph for this function:
-
-
- - -
-
- -

◆ background_ncdm_M_from_Omega()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int background_ncdm_M_from_Omega (struct precision * ppr,
struct background * pba,
int n_ncdm 
)
-
-

When the user passed the density fraction Omega_ncdm or omega_ncdm in input but not the mass, infer the mass with Newton iteration method.

-
Parameters
- - - - -
pprInput: precision structure
pbaInput/Output: background structure
n_ncdmInput: index of ncdm species
-
-
-
- + Here is the call graph for this function:
-
-
- - -
-
- -

◆ background_solve()

- -
-
- - - - - - - - - - - - - - - - - - -
int background_solve (struct precision * ppr,
struct background * pba 
)
-
-

This function integrates the background over time, allocates and fills the background table

-
Parameters
- - - -
pprInput: precision structure
pbaInput/Output: background structure
-
-
-

Summary:

-
    -
  • define local variables
    • -
  • allocate vector of quantities to be integrated
    • -
  • initialize generic integrator with initialize_generic_integrator()
    • -
  • impose initial conditions with background_initial_conditions()
    • -
  • create a growTable with gt_init()
    • -
  • loop over integration steps: call background_functions(), find step size, save data in growTable with gt_add(), perform one step with generic_integrator(), store new value of tau
    • -
  • save last data in growTable with gt_add()
    • -
  • clean up generic integrator with cleanup_generic_integrator()
    • -
  • retrieve data stored in the growTable with gt_getPtr()
    • -
  • interpolate to get quantities precisely today with array_interpolate()
    • -
  • deduce age of the Universe
    • -
  • allocate background tables
    • -
  • In a loop over lines, fill background table using the result of the integration plus background_functions()
    • -
  • free the growTable with gt_free()
    • -
  • fill tables of second derivatives (in view of spline interpolation)
    • -
  • compute remaining "related parameters"
      -
    • so-called "effective neutrino number", computed at earliest time in interpolation table. This should be seen as a definition: Neff is the equivalent number of instantaneously-decoupled neutrinos accounting for the radiation density, beyond photons
      • -
    -
    • -
  • done
    • -
- -
-
- -

◆ background_initial_conditions()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_initial_conditions (struct precision * ppr,
struct background * pba,
double * pvecback,
double * pvecback_integration 
)
-
-

Assign initial values to background integrated variables.

-
Parameters
- - - - - -
pprInput: pointer to precision structure
pbaInput: pointer to background structure
pvecbackInput: vector of background quantities used as workspace
pvecback_integrationOutput: vector of background quantities to be integrated, returned with proper initial values
-
-
-
Returns
the error status
-

Summary:

-
    -
  • define local variables
    • -

  • fix initial value of $ a $

    -

    If we have ncdm species, perhaps we need to start earlier than the standard value for the species to be relativistic. This could happen for some WDM models.

    -
    • -
  • We must add the relativistic contribution from NCDM species
      -
    • f is the critical density fraction of DR. The exact solution is:
      • -
    -
    • -
-

f = -Omega_rad+pow(pow(Omega_rad,3./2.)+0.5*pow(a/pba->a_today,6)*pvecback_integration[pba->index_bi_rho_dcdm]*pba->Gamma_dcdm/pow(pba->H0,3),2./3.);

-

but it is not numerically stable for very small f which is always the case. Instead we use the Taylor expansion of this equation, which is equivalent to ignoring f(a) in the Hubble rate.

-

There is also a space reserved for a future case where dr is not sourced by dcdm

-
    -
  • Fix initial value of $ \phi, \phi' $ set directly in the radiation attractor => fixes the units in terms of rho_ur
    • -
-

TODO:

    -
  • There seems to be some small oscillation when it starts.
    • -
  • Check equations and signs. Sign of phi_prime?
    • -
  • is rho_ur all there is early on?
    • -
  • –> If there is no attractor solution for scf_lambda, assign some value. Otherwise would give a nan.
    • -
  • –> If no attractor initial conditions are assigned, gets the provided ones.
    • -
  • compute initial proper time, assuming radiation-dominated universe since Big Bang and therefore $ t=1/(2H) $ (good approximation for most purposes)
    • -
  • compute initial conformal time, assuming radiation-dominated universe since Big Bang and therefore $ \tau=1/(aH) $ (good approximation for most purposes)
    • -
  • compute initial sound horizon, assuming $ c_s=1/\sqrt{3} $ initially
    • -
  • set initial value of D and D' in RD. D will be renormalised later, but D' must be correct.
    • -
- -
-
- -

◆ background_find_equality()

- -
-
- - - - - - - - - - - - - - - - - - -
int background_find_equality (struct precision * ppr,
struct background * pba 
)
-
-

Find the time of radiation/matter equality and store characteristic quantitites at that time in the background structure..

-
Parameters
- - - -
pprInput: pointer to precision structure
pbaInput/Output: pointer to background structure
-
-
-
Returns
the error status
- -
-
- -

◆ background_output_titles()

- -
-
- - - - - - - - - - - - - - - - - - -
int background_output_titles (struct background * pba,
char titles[_MAXTITLESTRINGLENGTH_] 
)
-
-

Subroutine for formatting background output

-
    -
  • Length of the column title should be less than OUTPUTPRECISION+6 to be indented correctly, but it can be as long as .
    • -
- -
-
- -

◆ background_output_data()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int background_output_data (struct background * pba,
int number_of_titles,
double * data 
)
-
-

Stores quantities

- -
-
- -

◆ background_derivs()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int background_derivs (double tau,
double * y,
double * dy,
void * parameters_and_workspace,
ErrorMsg error_message 
)
-
-

Subroutine evaluating the derivative with respect to conformal time of quantities which are integrated (a, t, etc).

-

This is one of the few functions in the code which is passed to the generic_integrator() routine. Since generic_integrator() should work with functions passed from various modules, the format of the arguments is a bit special:

-
    -
  • fixed input parameters and workspaces are passed through a generic pointer. Here, this is just a pointer to the background structure and to a background vector, but generic_integrator() doesn't know its fine structure.
    • -
  • the error management is a bit special: errors are not written as usual to pba->error_message, but to a generic error_message passed in the list of arguments.
    • -
-
Parameters
- - - - - - -
tauInput: conformal time
yInput: vector of variable
dyOutput: its derivative (already allocated)
parameters_and_workspaceInput: pointer to fixed parameters (e.g. indices)
error_messageOutput: error message
-
-
-

Summary:

-
    -
  • define local variables
    • -
  • calculate functions of $ a $ with background_functions()
    • -
  • Short hand notation
    • -
  • calculate $ a'=a^2 H $
    • -
  • calculate $ t' = a $
    • -
  • calculate $ rs' = c_s $
    • -
  • solve second order growth equation $ [D''(\tau)=-aHD'(\tau)+3/2 a^2 \rho_M D(\tau) $
    • -
  • compute dcdm density $ \rho' = -3aH \rho - a \Gamma \rho $
    • -
  • Compute dr density $ \rho' = -4aH \rho - a \Gamma \rho $
    • -
  • Compute fld density $ \rho' = -3aH (1+w_{fld}(a)) \rho $
    • -
  • Scalar field equation: $ \phi'' + 2 a H \phi' + a^2 dV = 0 $ (note H is wrt cosmic time)
    • -
- -
-
- -

◆ V_e_scf()

- -
-
- - - - - - - - - - - - - - - - - - -
double V_e_scf (struct background * pba,
double phi 
)
-
-

Scalar field potential and its derivatives with respect to the field _scf For Albrecht & Skordis model: 9908085

    -
  • $ V = V_{p_{scf}}*V_{e_{scf}} $
    • -
  • $ V_e = \exp(-\lambda \phi) $ (exponential)
    • -
  • $ V_p = (\phi - B)^\alpha + A $ (polynomial bump)
    • -
-

TODO:

    -
  • Add some functionality to include different models/potentials (tuning would be difficult, though)
    • -
  • Generalize to Kessence/Horndeski/PPF and/or couplings
    • -
  • A default module to numerically compute the derivatives when no analytic functions are given should be added.
    • -
  • Numerical derivatives may further serve as a consistency check.
    • -
-

The units of phi, tau in the derivatives and the potential V are the following:

    -
  • phi is given in units of the reduced Planck mass $ m_{pl} = (8 \pi G)^{(-1/2)}$
    • -
  • tau in the derivative is given in units of Mpc.
    • -
  • the potential $ V(\phi) $ is given in units of $ m_{pl}^2/Mpc^2 $. With this convention, we have $ \rho^{class} = (8 \pi G)/3 \rho^{physical} = 1/(3 m_{pl}^2) \rho^{physical} = 1/3 * [ 1/(2a^2) (\phi')^2 + V(\phi) ] $ and $ \rho^{class} $ has the proper dimension $ Mpc^-2 $.
    • -
-
- + Here is the caller graph for this function:
-
-
- - -
-
- -

◆ V_p_scf()

- -
-
- - - - - - - - - - - - - - - - - - -
double V_p_scf (struct background * pba,
double phi 
)
-
-

parameters and functions for the polynomial coefficient $ V_p = (\phi - B)^\alpha + A $(polynomial bump)

-

double scf_alpha = 2;

-

double scf_B = 34.8;

-

double scf_A = 0.01; (values for their Figure 2)

-
- + Here is the caller graph for this function:
-
-
- - -
-
- -

◆ V_scf()

- -
-
- - - - - - - - - - - - - - - - - - -
double V_scf (struct background * pba,
double phi 
)
-
-

Fianlly we can obtain the overall potential $ V = V_p*V_e $

-
- + Here is the call graph for this function:
-
-
- - -
-
-
-
- - - - diff --git a/doc/manual/html/background_8c.js b/doc/manual/html/background_8c.js deleted file mode 100644 index 403f9cb7..00000000 --- a/doc/manual/html/background_8c.js +++ /dev/null @@ -1,26 +0,0 @@ -var background_8c = -[ - [ "background_at_tau", "background_8c.html#ac47004414b208d36153f35d8465cace2", null ], - [ "background_tau_of_z", "background_8c.html#a868e85eefe464a31b25639170ff9550c", null ], - [ "background_functions", "background_8c.html#a302eb502773905601fa9b6936840682a", null ], - [ "background_w_fld", "background_8c.html#a488d6a6f015cec7a4eae21556e2298ca", null ], - [ "background_init", "background_8c.html#afeb0656453b92be39c60fb3fb1abd910", null ], - [ "background_free", "background_8c.html#a5b0d8db279856b3c96aba08c83aa19d6", null ], - [ "background_free_noinput", "background_8c.html#a7c4d314e8a6131c2d1ebfb2cd2c17946", null ], - [ "background_free_input", "background_8c.html#a61601a17447fc6a806921680d2e52c8f", null ], - [ "background_indices", "background_8c.html#a8934d2c903bb4c78b1b6a33a8c56e293", null ], - [ "background_ncdm_distribution", "background_8c.html#a3f8ea8dea94f63d01aa8fdcc3e0fb71a", null ], - [ "background_ncdm_test_function", "background_8c.html#a59fa78f56e5b35c640712db6a7941a82", null ], - [ "background_ncdm_init", "background_8c.html#a7f380a260c9369b66422a58391797728", null ], - [ "background_ncdm_momenta", "background_8c.html#afc47d7f15b3ff372df079890efcc6eb6", null ], - [ "background_ncdm_M_from_Omega", "background_8c.html#a5cc3564dbb251914c77d44f4990b21b9", null ], - [ "background_solve", "background_8c.html#aeb523f9c8e728f79e9b431d2020faa41", null ], - [ "background_initial_conditions", "background_8c.html#ad2dc56f010363d90bb1ad8447a32baf9", null ], - [ "background_find_equality", "background_8c.html#aed2984c000b71ae610410cd1a5490966", null ], - [ "background_output_titles", "background_8c.html#a038afb8102e9f45af7524a59011c371f", null ], - [ "background_output_data", "background_8c.html#a0ff17dd11a557890bcd66920397828ad", null ], - [ "background_derivs", "background_8c.html#a7125aa3a44915ea6d0cca6f37613421a", null ], - [ "V_e_scf", "background_8c.html#a0b67501d55c3db17771981743e2309e2", null ], - [ "V_p_scf", "background_8c.html#a9bd1bb8603145f86e8c57ad64a709931", null ], - [ "V_scf", "background_8c.html#aea9a32ebd60cc65e848e38cdd3ea6df5", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/background_8c__incl.map b/doc/manual/html/background_8c__incl.map deleted file mode 100644 index a7c1c15e..00000000 --- a/doc/manual/html/background_8c__incl.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/background_8c__incl.md5 b/doc/manual/html/background_8c__incl.md5 deleted file mode 100644 index 059940a7..00000000 --- a/doc/manual/html/background_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -3debf968165a56073537f2552423f30a \ No newline at end of file diff --git a/doc/manual/html/background_8c__incl.png b/doc/manual/html/background_8c__incl.png deleted file mode 100644 index fc16cfd9..00000000 Binary files a/doc/manual/html/background_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.map b/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.map deleted file mode 100644 index 9f7c5ea2..00000000 --- a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.md5 b/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.md5 deleted file mode 100644 index 1d6538fc..00000000 --- a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4fa6607098be35c6b38cde7ec2305162 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.png b/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.png deleted file mode 100644 index b071f8f3..00000000 Binary files a/doc/manual/html/background_8c_a0b67501d55c3db17771981743e2309e2_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.map b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.map deleted file mode 100644 index 3708e3f1..00000000 --- a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.md5 b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.md5 deleted file mode 100644 index 4918d46d..00000000 --- a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cc9d04cc967affa8dfba10ab3be5e984 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.png b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.png deleted file mode 100644 index fe5d06b4..00000000 Binary files a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.map b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.map deleted file mode 100644 index 9e82080a..00000000 --- a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.md5 b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.md5 deleted file mode 100644 index e8e8d52b..00000000 --- a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -db0c8bb2eff96af8efc062a3f537da92 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.png b/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.png deleted file mode 100644 index f9e7d25a..00000000 Binary files a/doc/manual/html/background_8c_a302eb502773905601fa9b6936840682a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.map b/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.map deleted file mode 100644 index 349c0d6e..00000000 --- a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.md5 b/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.md5 deleted file mode 100644 index 39bb8404..00000000 --- a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6e499df00914dd912ef5b2cc12a855f7 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.png b/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.png deleted file mode 100644 index e87b84f3..00000000 Binary files a/doc/manual/html/background_8c_a3f8ea8dea94f63d01aa8fdcc3e0fb71a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.map b/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.map deleted file mode 100644 index b9f967d8..00000000 --- a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.md5 b/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.md5 deleted file mode 100644 index b9adf209..00000000 --- a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -69eb2c584cfac58ee57eb55b8fb09e35 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.png b/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.png deleted file mode 100644 index 05d5a379..00000000 Binary files a/doc/manual/html/background_8c_a59fa78f56e5b35c640712db6a7941a82_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.map b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.map deleted file mode 100644 index 3bb89391..00000000 --- a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.md5 b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.md5 deleted file mode 100644 index 4d560c3f..00000000 --- a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6a67385d3e84d94d7bcbad206700436c \ No newline at end of file diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.png b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.png deleted file mode 100644 index ed11aa37..00000000 Binary files a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.map b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.map deleted file mode 100644 index d7baf2c4..00000000 --- a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.md5 b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.md5 deleted file mode 100644 index 6eec1adb..00000000 --- a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -85cfbdc149e99464212a60e9eff9102f \ No newline at end of file diff --git a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.png b/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.png deleted file mode 100644 index b42e8610..00000000 Binary files a/doc/manual/html/background_8c_a5b0d8db279856b3c96aba08c83aa19d6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.map b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.map deleted file mode 100644 index ba897ff6..00000000 --- a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.md5 b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.md5 deleted file mode 100644 index 81f3dab4..00000000 --- a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -df6ce71538d8339071d2e9fc7d5ce11a \ No newline at end of file diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.png b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.png deleted file mode 100644 index 2c0f527d..00000000 Binary files a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.map b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.map deleted file mode 100644 index 7eb1458e..00000000 --- a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.md5 b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.md5 deleted file mode 100644 index a36e15dc..00000000 --- a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -efea2a200a404dee201216c03361af42 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.png b/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.png deleted file mode 100644 index 3071ebe9..00000000 Binary files a/doc/manual/html/background_8c_a5cc3564dbb251914c77d44f4990b21b9_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.map b/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.map deleted file mode 100644 index abbab751..00000000 --- a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.md5 b/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.md5 deleted file mode 100644 index e423d819..00000000 --- a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -53343b15b4f5785706ff24fe07c8b209 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.png b/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.png deleted file mode 100644 index bb4ca734..00000000 Binary files a/doc/manual/html/background_8c_a61601a17447fc6a806921680d2e52c8f_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.map b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.map deleted file mode 100644 index 5adca29e..00000000 --- a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.md5 b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.md5 deleted file mode 100644 index 8d0d31fc..00000000 --- a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -830ed31f1765cf63473cdee0e1dc9dfa \ No newline at end of file diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.png b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.png deleted file mode 100644 index cb39eecf..00000000 Binary files a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.map b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.map deleted file mode 100644 index 6ed8ae21..00000000 --- a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.md5 b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.md5 deleted file mode 100644 index 3a826023..00000000 --- a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5be076d419f3840c4c762550905412e1 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.png b/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.png deleted file mode 100644 index 9e87c64b..00000000 Binary files a/doc/manual/html/background_8c_a7125aa3a44915ea6d0cca6f37613421a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.map b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.map deleted file mode 100644 index 5f15ade2..00000000 --- a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.md5 b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.md5 deleted file mode 100644 index 1971e75b..00000000 --- a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a6a0556c7a3e35660e5abb970ec149e2 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.png b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.png deleted file mode 100644 index e1bb332f..00000000 Binary files a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.map b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.map deleted file mode 100644 index 4d856720..00000000 --- a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.md5 b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.md5 deleted file mode 100644 index 8076d812..00000000 --- a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cce494ec4641fb2f4ae20b1d4c8d3f90 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.png b/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.png deleted file mode 100644 index 11a24d63..00000000 Binary files a/doc/manual/html/background_8c_a7f380a260c9369b66422a58391797728_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.map b/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.map deleted file mode 100644 index 7f57e189..00000000 --- a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.map +++ /dev/null @@ -1,39 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.md5 b/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.md5 deleted file mode 100644 index 5c54f7c7..00000000 --- a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ef89d8ede9ce8a7730cf002c9b8b0093 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.png b/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.png deleted file mode 100644 index 6b24a49e..00000000 Binary files a/doc/manual/html/background_8c_a868e85eefe464a31b25639170ff9550c_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.map b/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.map deleted file mode 100644 index 26b2dd79..00000000 --- a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.md5 b/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.md5 deleted file mode 100644 index 4da4faf0..00000000 --- a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2ab330a203ff397ad7fc9c654ed4fa23 \ No newline at end of file diff --git a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.png b/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.png deleted file mode 100644 index 48e4a837..00000000 Binary files a/doc/manual/html/background_8c_a8934d2c903bb4c78b1b6a33a8c56e293_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.map b/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.map deleted file mode 100644 index 22a3a20d..00000000 --- a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.md5 b/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.md5 deleted file mode 100644 index 67d98ef9..00000000 --- a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5d1e37ab60eaa4415ddc4f66e24a1a2a \ No newline at end of file diff --git a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.png b/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.png deleted file mode 100644 index 43c58f9a..00000000 Binary files a/doc/manual/html/background_8c_a9bd1bb8603145f86e8c57ad64a709931_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.map b/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.map deleted file mode 100644 index 018b9694..00000000 --- a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.map +++ /dev/null @@ -1,32 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.md5 b/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.md5 deleted file mode 100644 index 0ab887f2..00000000 --- a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -518d14f1e43c2411feb858063474db7d \ No newline at end of file diff --git a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.png b/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.png deleted file mode 100644 index 4d5e0a4c..00000000 Binary files a/doc/manual/html/background_8c_ac47004414b208d36153f35d8465cace2_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.map b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.map deleted file mode 100644 index cad165b2..00000000 --- a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.md5 b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.md5 deleted file mode 100644 index 885cfc4c..00000000 --- a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b3f06da301ddc71c6589375032e7fba3 \ No newline at end of file diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.png b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.png deleted file mode 100644 index 0b3f47ee..00000000 Binary files a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.map b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.map deleted file mode 100644 index 6372e27f..00000000 --- a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.md5 b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.md5 deleted file mode 100644 index b58b0c1f..00000000 --- a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -0e6079900bf930f327d54a5186300456 \ No newline at end of file diff --git a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.png b/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.png deleted file mode 100644 index c4ca05aa..00000000 Binary files a/doc/manual/html/background_8c_ad2dc56f010363d90bb1ad8447a32baf9_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.map b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.map deleted file mode 100644 index 4beb93d6..00000000 --- a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.md5 b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.md5 deleted file mode 100644 index 0d9deefa..00000000 --- a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ab0c71fe916bbcce47e1c57847f53637 \ No newline at end of file diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.png b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.png deleted file mode 100644 index 7f11ade2..00000000 Binary files a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.map b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.map deleted file mode 100644 index c71cf7d7..00000000 --- a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.md5 b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.md5 deleted file mode 100644 index e3dd9580..00000000 --- a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b58ccf26faa1c69b8f7d532e584d7499 \ No newline at end of file diff --git a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.png b/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.png deleted file mode 100644 index fe16d692..00000000 Binary files a/doc/manual/html/background_8c_aea9a32ebd60cc65e848e38cdd3ea6df5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.map b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.map deleted file mode 100644 index afa45ef1..00000000 --- a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.md5 b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.md5 deleted file mode 100644 index 5f761b27..00000000 --- a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -187fa9e0eb8c13f01f997e43b4e9da6a \ No newline at end of file diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.png b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.png deleted file mode 100644 index 9138471e..00000000 Binary files a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.map b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.map deleted file mode 100644 index 565e5fab..00000000 --- a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.md5 b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.md5 deleted file mode 100644 index 7d57b097..00000000 --- a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -51204621d9c239bf88117527b1ba39fe \ No newline at end of file diff --git a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.png b/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.png deleted file mode 100644 index d6958ad2..00000000 Binary files a/doc/manual/html/background_8c_aeb523f9c8e728f79e9b431d2020faa41_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.map b/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.map deleted file mode 100644 index fde542e7..00000000 --- a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.md5 b/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.md5 deleted file mode 100644 index c420d2bc..00000000 --- a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6238936ae19f8575fdde01b00e55b3ac \ No newline at end of file diff --git a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.png b/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.png deleted file mode 100644 index d1a03111..00000000 Binary files a/doc/manual/html/background_8c_afc47d7f15b3ff372df079890efcc6eb6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.map b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.map deleted file mode 100644 index 8a6107ce..00000000 --- a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.md5 b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.md5 deleted file mode 100644 index 3bfc6b23..00000000 --- a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -847924d26d2a3f4f3ed3906a09e27a3e \ No newline at end of file diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.png b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.png deleted file mode 100644 index 2c4cbd9c..00000000 Binary files a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_cgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.map b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.map deleted file mode 100644 index 1044d6cf..00000000 --- a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.md5 b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.md5 deleted file mode 100644 index cdd970a6..00000000 --- a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -15377a1e9e04e76f04c7fe8a359511ee \ No newline at end of file diff --git a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.png b/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.png deleted file mode 100644 index 3987dab5..00000000 Binary files a/doc/manual/html/background_8c_afeb0656453b92be39c60fb3fb1abd910_icgraph.png and /dev/null differ diff --git a/doc/manual/html/background_8h.html b/doc/manual/html/background_8h.html deleted file mode 100644 index a2d96a10..00000000 --- a/doc/manual/html/background_8h.html +++ /dev/null @@ -1,1206 +0,0 @@ - - - - - - - -CLASS MANUAL: background.h File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Data Structures | -Enumerations
-
-
background.h File Reference
-
-
-
#include "common.h"
-#include "quadrature.h"
-#include "growTable.h"
-#include "arrays.h"
-#include "dei_rkck.h"
-#include "parser.h"
-
- + Include dependency graph for background.h:
-
-
- -
- + This graph shows which files directly or indirectly include this file:
-
-
- -
-

Go to the source code of this file.

- - - - - - - - -

-Data Structures

struct  background
 
struct  background_parameters_and_workspace
 
struct  background_parameters_for_distributions
 
- - - - - -

-Enumerations

enum  spatial_curvature
 
enum  equation_of_state
 
-

Detailed Description

-

Documented includes for background module

-

Data Structure Documentation

- -

◆ background

- -
-
- - - - -
struct background
-
-

All background parameters and evolution that other modules need to know.

-

Once initialized by the backgound_init(), contains all necessary information on the background evolution (except thermodynamics), and in particular, a table of all background quantities as a function of time and scale factor, used for interpolation in other modules.

-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Data Fields
-double -H0 -

$ H_0 $: Hubble parameter (in fact, [ $H_0/c$]) in $ Mpc^{-1} $

-
-double -Omega0_g -

$ \Omega_{0 \gamma} $: photons

-
-double -T_cmb -

$ T_{cmb} $: current CMB temperature in Kelvins

-
-double -Omega0_b -

$ \Omega_{0 b} $: baryons

-
-double -Omega0_cdm -

$ \Omega_{0 cdm} $: cold dark matter

-
-double -Omega0_lambda -

$ \Omega_{0_\Lambda} $: cosmological constant

-
-double -Omega0_fld -

$ \Omega_{0 de} $: fluid

-
-enum equation_of_state -fluid_equation_of_state -

parametrisation scheme for fluid equation of state

-
-double -w0_fld -

$ w0_{DE} $: current fluid equation of state parameter

-
-double -wa_fld -

$ wa_{DE} $: fluid equation of state parameter derivative

-
-double -Omega_EDE -

$ wa_{DE} $: Early Dark Energy density parameter

-
-double -cs2_fld -

$ c^2_{s~DE} $: sound speed of the fluid in the frame comoving with the fluid (so, this is not [delta p/delta rho] in the synchronous or newtonian gauge!!!)

-
-short -use_ppf -

flag switching on PPF perturbation equations instead of true fluid equations for perturbations. It could have been defined inside perturbation structure, but we leave it here in such way to have all fld parameters grouped.

-
-double -c_gamma_over_c_fld -

ppf parameter defined in eq. (16) of 0808.3125 [astro-ph]

-
-double -Omega0_ur -

$ \Omega_{0 \nu r} $: ultra-relativistic neutrinos

-
-double -Omega0_dcdmdr -

$ \Omega_{0 dcdm}+\Omega_{0 dr} $: decaying cold dark matter (dcdm) decaying to dark radiation (dr)

-
-double -Gamma_dcdm -

$ \Gamma_{dcdm} $: decay constant for decaying cold dark matter

-
-double -Omega_ini_dcdm -

$ \Omega_{ini,dcdm} $: rescaled initial value for dcdm density (see 1407.2418 for definitions)

-
-double -Omega0_scf -

$ \Omega_{0 scf} $: scalar field

-
-short -attractor_ic_scf -

whether the scalar field has attractor initial conditions

-
-double -phi_ini_scf -

$ \phi(t_0) $: scalar field initial value

-
-double -phi_prime_ini_scf -

$ d\phi(t_0)/d\tau $: scalar field initial derivative wrt conformal time

-
-double * -scf_parameters -

list of parameters describing the scalar field potential

-
-int -scf_parameters_size -

size of scf_parameters

-
-int -scf_tuning_index -

index in scf_parameters used for tuning

-
-double -Omega0_k -

$ \Omega_{0_k} $: curvature contribution

-
-int -N_ncdm -

Number of distinguishable ncdm species

-
-double * -M_ncdm -

vector of masses of non-cold relic: dimensionless ratios m_ncdm/T_ncdm

-
-double * -Omega0_ncdm -
-double -Omega0_ncdm_tot -

Omega0_ncdm for each species and for the total Omega0_ncdm

-
-double * -deg_ncdm -
-double -deg_ncdm_default -

vector of degeneracy parameters in factor of p-s-d: 1 for one family of neutrinos (= one neutrino plus its anti-neutrino, total g*=1+1=2, so deg = 0.5 g*); and its default value

-
-double * -T_ncdm -
-double -T_ncdm_default -

list of 1st parameters in p-s-d of non-cold relics: relative temperature T_ncdm1/T_gamma; and its default value

-
-double * -ksi_ncdm -
-double -ksi_ncdm_default -

list of 2nd parameters in p-s-d of non-cold relics: relative chemical potential ksi_ncdm1/T_ncdm1; and its default value

-
-double * -ncdm_psd_parameters -

list of parameters for specifying/modifying ncdm p.s.d.'s, to be customized for given model (could be e.g. mixing angles)

-
-int * -got_files -

list of flags for each species, set to true if p-s-d is passed through file

-
-char * -ncdm_psd_files -

list of filenames for tabulated p-s-d

-
-double -h -

reduced Hubble parameter

-
-double -age -

age in Gyears

-
-double -conformal_age -

conformal age in Mpc

-
-double -K -

$ K $: Curvature parameter $ K=-\Omega0_k*a_{today}^2*H_0^2$;

-
-int -sgnK -

K/|K|: -1, 0 or 1

-
-double * -m_ncdm_in_eV -

list of ncdm masses in eV (inferred from M_ncdm and other parameters above)

-
-double -Neff -

so-called "effective neutrino number", computed at earliest time in interpolation table

-
-double -Omega0_dcdm -

$ \Omega_{0 dcdm} $: decaying cold dark matter

-
-double -Omega0_dr -

$ \Omega_{0 dr} $: decay radiation

-
-double -a_eq -

scale factor at radiation/matter equality

-
-double -H_eq -

Hubble rate at radiation/matter equality [Mpc^-1]

-
-double -z_eq -

redshift at radiation/matter equality

-
-double -tau_eq -

conformal time at radiation/matter equality [Mpc]

-
-double -a_today -

scale factor today (arbitrary and irrelevant for most purposes)

-
-int -index_bg_a -

scale factor

-
-int -index_bg_H -

Hubble parameter in $Mpc^{-1}$

-
-int -index_bg_H_prime -

its derivative w.r.t. conformal time

-
-int -index_bg_rho_g -

photon density

-
-int -index_bg_rho_b -

baryon density

-
-int -index_bg_rho_cdm -

cdm density

-
-int -index_bg_rho_lambda -

cosmological constant density

-
-int -index_bg_rho_fld -

fluid density

-
-int -index_bg_w_fld -

fluid equation of state

-
-int -index_bg_rho_ur -

relativistic neutrinos/relics density

-
-int -index_bg_rho_dcdm -

dcdm density

-
-int -index_bg_rho_dr -

dr density

-
-int -index_bg_phi_scf -

scalar field value

-
-int -index_bg_phi_prime_scf -

scalar field derivative wrt conformal time

-
-int -index_bg_V_scf -

scalar field potential V

-
-int -index_bg_dV_scf -

scalar field potential derivative V'

-
-int -index_bg_ddV_scf -

scalar field potential second derivative V''

-
-int -index_bg_rho_scf -

scalar field energy density

-
-int -index_bg_p_scf -

scalar field pressure

-
-int -index_bg_rho_ncdm1 -

density of first ncdm species (others contiguous)

-
-int -index_bg_p_ncdm1 -

pressure of first ncdm species (others contiguous)

-
-int -index_bg_pseudo_p_ncdm1 -

another statistical momentum useful in ncdma approximation

-
-int -index_bg_Omega_r -

relativistic density fraction ( $ \Omega_{\gamma} + \Omega_{\nu r} $)

-
-int -index_bg_rho_crit -

critical density

-
-int -index_bg_Omega_m -

non-relativistic density fraction ( $ \Omega_b + \Omega_cdm + \Omega_{\nu nr} $)

-
-int -index_bg_conf_distance -

conformal distance (from us) in Mpc

-
-int -index_bg_ang_distance -

angular diameter distance in Mpc

-
-int -index_bg_lum_distance -

luminosity distance in Mpc

-
-int -index_bg_time -

proper (cosmological) time in Mpc

-
-int -index_bg_rs -

comoving sound horizon in Mpc

-
-int -index_bg_D -

scale independent growth factor D(a) for CDM perturbations

-
-int -index_bg_f -

corresponding velocity growth factor [dlnD]/[dln a]

-
-int -bg_size_short -

size of background vector in the "short format"

-
-int -bg_size_normal -

size of background vector in the "normal format"

-
-int -bg_size -

size of background vector in the "long format"

-
-int -bt_size -

number of lines (i.e. time-steps) in the array

-
-double * -tau_table -

vector tau_table[index_tau] with values of $ \tau $ (conformal time)

-
-double * -z_table -

vector z_table[index_tau] with values of $ z $ (redshift)

-
-double * -background_table -

table background_table[index_tau*pba->bg_size+pba->index_bg] with all other quantities (array of size bg_size*bt_size)

-
-double * -d2tau_dz2_table -

vector d2tau_dz2_table[index_tau] with values of $ d^2 \tau / dz^2 $ (conformal time)

-
-double * -d2background_dtau2_table -

table d2background_dtau2_table[index_tau*pba->bg_size+pba->index_bg] with values of $ d^2 b_i / d\tau^2 $ (conformal time)

-
-int -index_bi_a -

{B} scale factor

-
-int -index_bi_rho_dcdm -

{B} dcdm density

-
-int -index_bi_rho_dr -

{B} dr density

-
-int -index_bi_rho_fld -

{B} fluid density

-
-int -index_bi_phi_scf -

{B} scalar field value

-
-int -index_bi_phi_prime_scf -

{B} scalar field derivative wrt conformal time

-
-int -index_bi_time -

{C} proper (cosmological) time in Mpc

-
-int -index_bi_rs -

{C} sound horizon

-
-int -index_bi_tau -

{C} conformal time in Mpc

-
-int -index_bi_D -

{C} scale independent growth factor D(a) for CDM perturbations.

-
-int -index_bi_D_prime -

{C} D satisfies $ [D''(\tau)=-aHD'(\tau)+3/2 a^2 \rho_M D(\tau) $

-
-int -bi_B_size -

Number of {B} parameters

-
-int -bi_size -

Number of {B}+{C} parameters

-
-short -has_cdm -

presence of cold dark matter?

-
-short -has_dcdm -

presence of decaying cold dark matter?

-
-short -has_dr -

presence of relativistic decay radiation?

-
-short -has_scf -

presence of a scalar field?

-
-short -has_ncdm -

presence of non-cold dark matter?

-
-short -has_lambda -

presence of cosmological constant?

-
-short -has_fld -

presence of fluid with constant w and cs2?

-
-short -has_ur -

presence of ultra-relativistic neutrinos/relics?

-
-short -has_curvature -

presence of global spatial curvature?

-
-int * -ncdm_quadrature_strategy -

Vector of integers according to quadrature strategy.

-
-int * -ncdm_input_q_size -

Vector of numbers of q bins

-
-double * -ncdm_qmax -

Vector of maximum value of q

-
-double ** -q_ncdm_bg -

Pointers to vectors of background sampling in q

-
-double ** -w_ncdm_bg -

Pointers to vectors of corresponding quadrature weights w

-
-double ** -q_ncdm -

Pointers to vectors of perturbation sampling in q

-
-double ** -w_ncdm -

Pointers to vectors of corresponding quadrature weights w

-
-double ** -dlnf0_dlnq_ncdm -

Pointers to vectors of logarithmic derivatives of p-s-d

-
-int * -q_size_ncdm_bg -

Size of the q_ncdm_bg arrays

-
-int * -q_size_ncdm -

Size of the q_ncdm arrays

-
-double * -factor_ncdm -

List of normalization factors for calculating energy density etc.

-
-short -short_info -

flag for calling background_at_eta and return little information

-
-short -normal_info -

flag for calling background_at_eta and return medium information

-
-short -long_info -

flag for calling background_at_eta and return all information

-
-short -inter_normal -

flag for calling background_at_eta and find position in interpolation table normally

-
-short -inter_closeby -

flag for calling background_at_eta and find position in interpolation table starting from previous position in previous call

-
-short -shooting_failed -

flag is set to true if shooting failed.

-
-ErrorMsg -shooting_error -

Error message from shooting failed.

-
-short -background_verbose -

flag regulating the amount of information sent to standard output (none if set to zero)

-
-ErrorMsg -error_message -

zone for writing error messages

-
- -
-
- -

◆ background_parameters_and_workspace

- -
-
- - - - -
struct background_parameters_and_workspace
-
-

temporary parameters and workspace passed to the background_derivs function

-
-
-
- -

◆ background_parameters_for_distributions

- -
-
- - - - -
struct background_parameters_for_distributions
-
-

temporary parameters and workspace passed to phase space distribution function

-
-
-
-

Enumeration Type Documentation

- -

◆ spatial_curvature

- -
-
- - - - -
enum spatial_curvature
-
-

list of possible types of spatial curvature

- -
-
- -

◆ equation_of_state

- -
-
- - - - -
enum equation_of_state
-
-

list of possible parametrisations of the DE equation of state

- -
-
-
-
- - - - diff --git a/doc/manual/html/background_8h.js b/doc/manual/html/background_8h.js deleted file mode 100644 index 1231601b..00000000 --- a/doc/manual/html/background_8h.js +++ /dev/null @@ -1,141 +0,0 @@ -var background_8h = -[ - [ "background", "background_8h.html#structbackground", [ - [ "H0", "background_8h.html#aa78cfbd2348998f01f7301e02f2c7470", null ], - [ "Omega0_g", "background_8h.html#a2803ca707b3250cfe73620ce4d46848f", null ], - [ "T_cmb", "background_8h.html#aacce0972bf2d6ba25b4fa6ebb0cbf42a", null ], - [ "Omega0_b", "background_8h.html#ac082b414dc40c0b5e733c57bd5118631", null ], - [ "Omega0_cdm", "background_8h.html#a9ec8a5cb6af4f689640b76826128df0f", null ], - [ "Omega0_lambda", "background_8h.html#adba7f8bdac5313854cb48580b7562a13", null ], - [ "Omega0_fld", "background_8h.html#a8c8a6bf15b6f48a498c1dc19712431eb", null ], - [ "fluid_equation_of_state", "background_8h.html#a9120b4e2259f7ddbe89bb77db8b30269", null ], - [ "w0_fld", "background_8h.html#a952ea915a9eb9d1ab7a053fc9cd503d4", null ], - [ "wa_fld", "background_8h.html#acdcf0ad1a86fa27264a1bde9beba37d1", null ], - [ "Omega_EDE", "background_8h.html#a73cece3d366da582e32a3e46869d0c17", null ], - [ "cs2_fld", "background_8h.html#a911297f394082415f68263eab8f51127", null ], - [ "use_ppf", "background_8h.html#a7830e03f3d0c7b44bf1bfbb3f50d9b8a", null ], - [ "c_gamma_over_c_fld", "background_8h.html#aa821d266aa8e2bec8a8649b9ecaf5aae", null ], - [ "Omega0_ur", "background_8h.html#a0fb6c6ef3e802c8f11c03a0561ff3994", null ], - [ "Omega0_dcdmdr", "background_8h.html#a35d3f42e265af29cd38a3f35e5fd1392", null ], - [ "Gamma_dcdm", "background_8h.html#a00a94e23ccff5e89a77c12d1a1ef32d8", null ], - [ "Omega_ini_dcdm", "background_8h.html#a31ef8cc19fade403f356531c713a589c", null ], - [ "Omega0_scf", "background_8h.html#a3ec7cb89aee15662360e4ec7b85436f8", null ], - [ "attractor_ic_scf", "background_8h.html#a1fffc38240bd5969bfab7fd8319aaa91", null ], - [ "phi_ini_scf", "background_8h.html#ab52738cef0f6f7156c22ea3410e06559", null ], - [ "phi_prime_ini_scf", "background_8h.html#ac261b364a383b80cdc222e8fd42be5de", null ], - [ "scf_parameters", "background_8h.html#a0f2ca42b920c48c864b4135c3e519d99", null ], - [ "scf_parameters_size", "background_8h.html#a516208b1d53e97e01b39f06df9f83700", null ], - [ "scf_tuning_index", "background_8h.html#afecadd30a392f785ccffff67930909e0", null ], - [ "Omega0_k", "background_8h.html#a35ebd905024845619047dfa78db952c5", null ], - [ "N_ncdm", "background_8h.html#a09ba67b55b60f42115407641d077ea53", null ], - [ "M_ncdm", "background_8h.html#a9d8594c1ee9335c883f42375e71e5125", null ], - [ "Omega0_ncdm_tot", "background_8h.html#a05f67862c306f12461a02afd1c6b955a", null ], - [ "deg_ncdm_default", "background_8h.html#a3b3564e036c5598f9f759c115f8d8a32", null ], - [ "T_ncdm_default", "background_8h.html#a10ccd157c2ca672eec8a402cdb330054", null ], - [ "ksi_ncdm_default", "background_8h.html#a79d6f2dc01ccd89bbba441982bfff33d", null ], - [ "ncdm_psd_parameters", "background_8h.html#a974529db1fe5cbf91fc8513c1b56b7f3", null ], - [ "got_files", "background_8h.html#a1f83cf53eb9a656c780428a86ab995bc", null ], - [ "ncdm_psd_files", "background_8h.html#aa45063cc56ed270925f22707465b4592", null ], - [ "h", "background_8h.html#a15e42418e0ae22959e110abf99a5e07e", null ], - [ "age", "background_8h.html#a369a4c5c388a06aa9fc7b348fa07a898", null ], - [ "conformal_age", "background_8h.html#af5353323a6707b6284399d8b44dd2b3c", null ], - [ "K", "background_8h.html#a8a09d5f6e0efa11f44399f8d8c64857c", null ], - [ "sgnK", "background_8h.html#abfb9604454d58ec29a6d67b4957f98af", null ], - [ "m_ncdm_in_eV", "background_8h.html#a131114b677feb75fb76d4203e849b5c1", null ], - [ "Neff", "background_8h.html#a62011b2fc16a6e812997912686ac3089", null ], - [ "Omega0_dcdm", "background_8h.html#a5d2e52d4d54e0620f5308c1b2d9213ee", null ], - [ "Omega0_dr", "background_8h.html#a29c6752fb9367daa282c161e01e2d9ab", null ], - [ "a_eq", "background_8h.html#aa0ad2aa08ed53a47ca0b44a65bff6870", null ], - [ "H_eq", "background_8h.html#ae14cc8afe76fbfdc026f77c5e8a35fe7", null ], - [ "z_eq", "background_8h.html#a935a0fd24b41fd978c09b1ab6dafb5f9", null ], - [ "tau_eq", "background_8h.html#a364985e5717726c6ca981c3d151b8a89", null ], - [ "a_today", "background_8h.html#a383ea35b2eda4f1849b9be48048344e5", null ], - [ "index_bg_a", "background_8h.html#a593a3f0c2f0115b8e6bd8dcce4f9c124", null ], - [ "index_bg_H", "background_8h.html#a5795fdaf5c2549ce387db6e6e34cac1f", null ], - [ "index_bg_H_prime", "background_8h.html#ac57789197f9f7eadbc81d73108bbadeb", null ], - [ "index_bg_rho_g", "background_8h.html#ae8e15dc91ec567f4e910ea903f643614", null ], - [ "index_bg_rho_b", "background_8h.html#a09c4edd6c3c211b3d857d23a05687111", null ], - [ "index_bg_rho_cdm", "background_8h.html#ac1e98d23829d9b6f1eab33fb4b29ca8d", null ], - [ "index_bg_rho_lambda", "background_8h.html#a636f3702f62a1c750f86235a3e79170b", null ], - [ "index_bg_rho_fld", "background_8h.html#acb3cc80f1ce74073316b89f5e578add8", null ], - [ "index_bg_w_fld", "background_8h.html#a20facea823bf59d21ed4ea8f032d60b0", null ], - [ "index_bg_rho_ur", "background_8h.html#a62951157a480d01724066a4da30d7349", null ], - [ "index_bg_rho_dcdm", "background_8h.html#afe423543b65814cbc80f4d20011e705e", null ], - [ "index_bg_rho_dr", "background_8h.html#ae22a92f574ae53ef72e420ad9e603db3", null ], - [ "index_bg_phi_scf", "background_8h.html#a97cf6a8c0b0a7601947b8cd9638122a1", null ], - [ "index_bg_phi_prime_scf", "background_8h.html#a04237a12fb35d488496706148a4921a5", null ], - [ "index_bg_V_scf", "background_8h.html#a8b1950c9963389d233e8c5c2bd334253", null ], - [ "index_bg_dV_scf", "background_8h.html#ad61281e0d8ab2cbbda08bad2a245d33c", null ], - [ "index_bg_ddV_scf", "background_8h.html#afe0c7d22dfab02ef5352a31a2a3a2ce5", null ], - [ "index_bg_rho_scf", "background_8h.html#a984adc2397c5b4ac589138a82ffc747f", null ], - [ "index_bg_p_scf", "background_8h.html#af2f38dc9fe1b4e69c9f06034ee894ef0", null ], - [ "index_bg_rho_ncdm1", "background_8h.html#acc7706223e8fceafc067f1a9236c13d6", null ], - [ "index_bg_p_ncdm1", "background_8h.html#a1c91022c26391cf130030b36755a964f", null ], - [ "index_bg_pseudo_p_ncdm1", "background_8h.html#ad6df08a252026b6514cba9aae2b2c698", null ], - [ "index_bg_Omega_r", "background_8h.html#a10a925400b473297ae9e8b1f37ea461a", null ], - [ "index_bg_rho_crit", "background_8h.html#a463ac213d2e440f9118ba07dfd3824ec", null ], - [ "index_bg_Omega_m", "background_8h.html#ae47d2c68eacf8948db4ee45f0ae34aef", null ], - [ "index_bg_conf_distance", "background_8h.html#a1cd4697edfdaf27a545e8a10df000b84", null ], - [ "index_bg_ang_distance", "background_8h.html#ae87937fbee956b5f723f1f4128805b87", null ], - [ "index_bg_lum_distance", "background_8h.html#ae2e0c57155c34687bd86cb85a05dcbef", null ], - [ "index_bg_time", "background_8h.html#af410bf7812e2ae6ddaa079cda7c651e5", null ], - [ "index_bg_rs", "background_8h.html#a378cad9f38f57409b3d74644058c73b9", null ], - [ "index_bg_D", "background_8h.html#a3470694d0cc6fdd65b8ee3779e82a7de", null ], - [ "index_bg_f", "background_8h.html#ae5229379ae0fbef095037f4b41b84ebb", null ], - [ "bg_size_short", "background_8h.html#a5cbff7da365e1362a7d20f11d6c7043d", null ], - [ "bg_size_normal", "background_8h.html#a651b3fd365f5cceb9af3bd39d9c85e11", null ], - [ "bg_size", "background_8h.html#a130359e1d60e308dae630ebee2332b81", null ], - [ "bt_size", "background_8h.html#aa44b240483b9a5d173cfcde81340c733", null ], - [ "tau_table", "background_8h.html#ad6b709b1e61e2afb17f27b8a5b09cf95", null ], - [ "z_table", "background_8h.html#a16856423300cf5b8746ed6a6fd7adf56", null ], - [ "background_table", "background_8h.html#aa3b9601706d7f9f46f4ff460591e7ade", null ], - [ "d2tau_dz2_table", "background_8h.html#a7104096aa3d26462cd171ddd79f955ef", null ], - [ "d2background_dtau2_table", "background_8h.html#a9565c380bec8c9caf93064ede368770a", null ], - [ "index_bi_a", "background_8h.html#a671c3e493d495a09ad84cf711f768319", null ], - [ "index_bi_rho_dcdm", "background_8h.html#a1f0b07c67119bfe37a6f0fe1736d05eb", null ], - [ "index_bi_rho_dr", "background_8h.html#a38e5634e610152ae8a8dc17833a1df18", null ], - [ "index_bi_rho_fld", "background_8h.html#aa782576001653604be0f3e5d0beeb60d", null ], - [ "index_bi_phi_scf", "background_8h.html#a80e59fe1ab510c77237bf8af5d4d7503", null ], - [ "index_bi_phi_prime_scf", "background_8h.html#a0a84b0e9c235a84797ff7aadccb503c7", null ], - [ "index_bi_time", "background_8h.html#a9c0a391c023f5e1eb67dd928b2a699a3", null ], - [ "index_bi_rs", "background_8h.html#aa1e98bc1d8a00d66d49b65661bf0e573", null ], - [ "index_bi_tau", "background_8h.html#a6783cf535f070212a6a392c581bb863b", null ], - [ "index_bi_D", "background_8h.html#a7a77fcef21713f98f673adfbca8626ab", null ], - [ "index_bi_D_prime", "background_8h.html#a77d7f46ffcd47060d8405269da53323e", null ], - [ "bi_B_size", "background_8h.html#abd6b3cff248235abb658f0ab90b6c712", null ], - [ "bi_size", "background_8h.html#a738e597f277f45470000979f9cb360f4", null ], - [ "has_cdm", "background_8h.html#afdbecc1d3a9c66455776d822ba779495", null ], - [ "has_dcdm", "background_8h.html#acddb16d4884498f3f65012e35d8a6ad5", null ], - [ "has_dr", "background_8h.html#af082409dbf48f0760f3ae9c0d9c94064", null ], - [ "has_scf", "background_8h.html#acf1c4a6b4e8f2fe176ea9ef19a528333", null ], - [ "has_ncdm", "background_8h.html#a2bffb876100e06719440ab70155d771e", null ], - [ "has_lambda", "background_8h.html#ae37394e93a9affa2c4b2834835e377ff", null ], - [ "has_fld", "background_8h.html#a349bce42f3647a4eb964712e9ae55979", null ], - [ "has_ur", "background_8h.html#a8117c138bbf5229a82a75e7050bbbcb6", null ], - [ "has_curvature", "background_8h.html#a9c310bc35b545d3b11a0ba0248ada0fe", null ], - [ "ncdm_quadrature_strategy", "background_8h.html#a17271539e7ea4dc8bd12eb6bfa8226dc", null ], - [ "ncdm_input_q_size", "background_8h.html#afbbadd6d926e8380ec64d85bbbc240cf", null ], - [ "ncdm_qmax", "background_8h.html#a6443854e2bb51b44b58a9deb4579edbd", null ], - [ "q_ncdm_bg", "background_8h.html#ad340bcb42208c72411825c5652b62ef9", null ], - [ "w_ncdm_bg", "background_8h.html#a45fe099176d7cf0e2196d437a7ef1d6f", null ], - [ "q_ncdm", "background_8h.html#af3d60c01da32ca94c422c7ea8738ab56", null ], - [ "w_ncdm", "background_8h.html#a8b70adca7e18544a5c89efa89506bec5", null ], - [ "dlnf0_dlnq_ncdm", "background_8h.html#a0d55e502abf84a474a51af8d9d352ae3", null ], - [ "q_size_ncdm_bg", "background_8h.html#a42ed113e1a20b0cb96266a6325ee39de", null ], - [ "q_size_ncdm", "background_8h.html#aaac0382a4c479123b0e0f836920da6df", null ], - [ "factor_ncdm", "background_8h.html#a96b570d10c77a6fc4ca09759ed233906", null ], - [ "short_info", "background_8h.html#a539b135329ad8c7493e936a559062170", null ], - [ "normal_info", "background_8h.html#a94e49478108e40a1a392fca2c4fe6086", null ], - [ "long_info", "background_8h.html#a323b663d2f3722d50460d8cf25aa19cd", null ], - [ "inter_normal", "background_8h.html#a083d789cd5c93095f3a822989b68f838", null ], - [ "inter_closeby", "background_8h.html#aed6bd9f48d0ba8fb2cee9f4163584cc2", null ], - [ "shooting_failed", "background_8h.html#a378f8b0f2a436630570e71f0387a70ab", null ], - [ "shooting_error", "background_8h.html#ae8db621ec63803a3fcf02f3122d48b11", null ], - [ "background_verbose", "background_8h.html#a76e7e8bb2e0a7e4910de61772b459fdc", null ], - [ "error_message", "background_8h.html#ac2aa2ba4b8592e3f4c3bb8a2924dcf42", null ] - ] ], - [ "background_parameters_and_workspace", "background_8h.html#structbackground__parameters__and__workspace", null ], - [ "background_parameters_for_distributions", "background_8h.html#structbackground__parameters__for__distributions", null ], - [ "spatial_curvature", "background_8h.html#a084e4b1d0e8008b93518986b89cd77ff", null ], - [ "equation_of_state", "background_8h.html#a72c36a03e1a76af13b5cc73c1904af06", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/background_8h__dep__incl.map b/doc/manual/html/background_8h__dep__incl.map deleted file mode 100644 index e1f61b1f..00000000 --- a/doc/manual/html/background_8h__dep__incl.map +++ /dev/null @@ -1,27 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/background_8h__dep__incl.md5 b/doc/manual/html/background_8h__dep__incl.md5 deleted file mode 100644 index 8d480ad9..00000000 --- a/doc/manual/html/background_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -5464e7710b5e4a0308ca727e908022f6 \ No newline at end of file diff --git a/doc/manual/html/background_8h__dep__incl.png b/doc/manual/html/background_8h__dep__incl.png deleted file mode 100644 index 4ea4a4e7..00000000 Binary files a/doc/manual/html/background_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/background_8h__incl.map b/doc/manual/html/background_8h__incl.map deleted file mode 100644 index e8b54d31..00000000 --- a/doc/manual/html/background_8h__incl.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/background_8h__incl.md5 b/doc/manual/html/background_8h__incl.md5 deleted file mode 100644 index 6f497052..00000000 --- a/doc/manual/html/background_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -eac66aac2c5f2b7c16a957173d0a5d79 \ No newline at end of file diff --git a/doc/manual/html/background_8h__incl.png b/doc/manual/html/background_8h__incl.png deleted file mode 100644 index b552ff82..00000000 Binary files a/doc/manual/html/background_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/background_8h_source.html b/doc/manual/html/background_8h_source.html deleted file mode 100644 index 0cc34860..00000000 --- a/doc/manual/html/background_8h_source.html +++ /dev/null @@ -1,258 +0,0 @@ - - - - - - - -CLASS MANUAL: background.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
background.h
-
-
-Go to the documentation of this file.
1 
3 #ifndef __BACKGROUND__
4 #define __BACKGROUND__
5 
6 #include "common.h"
7 #include "quadrature.h"
8 #include "growTable.h"
9 #include "arrays.h"
10 #include "dei_rkck.h"
11 #include "parser.h"
12 
15 enum spatial_curvature {flat,open,closed};
16 
19 enum equation_of_state {CLP,EDE};
20 
31 struct background
32 {
45 
46  double H0;
48  double Omega0_g;
50  double T_cmb;
52  double Omega0_b;
54  double Omega0_cdm;
56  double Omega0_lambda;
58  double Omega0_fld;
60  enum equation_of_state fluid_equation_of_state;
62  double w0_fld;
63  double wa_fld;
64  double Omega_EDE;
66  double cs2_fld;
71  short use_ppf;
77  double c_gamma_over_c_fld;
79  double Omega0_ur;
81  double Omega0_dcdmdr;
83  double Gamma_dcdm;
85  double Omega_ini_dcdm;
87  double Omega0_scf;
88  short attractor_ic_scf;
89  double phi_ini_scf;
90  double phi_prime_ini_scf;
91  double * scf_parameters;
92  int scf_parameters_size;
93  int scf_tuning_index;
94  //double scf_lambda; /**< \f$ \lambda \f$ : scalar field exponential potential slope */
95  //double scf_alpha; /**< \f$ \alpha \f$ : Albrecht-Skordis polynomial slope */
96  //double scf_B; /**< \f$ \alpha \f$ : Albrecht-Skordis field shift */
97  //double scf_A; /**< \f$ \alpha \f$ : Albrecht-Skordis offset */
98 
99  double Omega0_k;
101  int N_ncdm;
102  double * M_ncdm;
104  double * Omega0_ncdm, Omega0_ncdm_tot;
105  double * deg_ncdm, deg_ncdm_default;
111  /* the following parameters help to define the analytical ncdm phase space distributions (p-s-d) */
112  double * T_ncdm,T_ncdm_default;
117  double * ksi_ncdm, ksi_ncdm_default;
122  double * ncdm_psd_parameters;
125  /* end of parameters for analytical ncdm p-s-d */
126 
127  /* the following parameters help to define tabulated ncdm p-s-d passed in file */
128  int * got_files;
130  char * ncdm_psd_files;
131  /* end of parameters for tabulated ncdm p-s-d */
132 
134 
138 
139  double h;
140  double age;
141  double conformal_age;
142  double K;
143  int sgnK;
144  double * m_ncdm_in_eV;
145  double Neff;
146  double Omega0_dcdm;
147  double Omega0_dr;
148  double a_eq;
149  double H_eq;
150  double z_eq;
151  double tau_eq;
154 
158 
159  double a_today;
162 
166 
167  int index_bg_a;
168  int index_bg_H;
169  int index_bg_H_prime;
171  /* end of vector in short format, now quantities in normal format */
172 
173  int index_bg_rho_g;
174  int index_bg_rho_b;
175  int index_bg_rho_cdm;
176  int index_bg_rho_lambda;
177  int index_bg_rho_fld;
178  int index_bg_w_fld;
179  int index_bg_rho_ur;
180  int index_bg_rho_dcdm;
181  int index_bg_rho_dr;
183  int index_bg_phi_scf;
184  int index_bg_phi_prime_scf;
185  int index_bg_V_scf;
186  int index_bg_dV_scf;
187  int index_bg_ddV_scf;
188  int index_bg_rho_scf;
189  int index_bg_p_scf;
191  int index_bg_rho_ncdm1;
192  int index_bg_p_ncdm1;
193  int index_bg_pseudo_p_ncdm1;
195  int index_bg_Omega_r;
197  /* end of vector in normal format, now quantities in long format */
198 
199  int index_bg_rho_crit;
200  int index_bg_Omega_m;
201  int index_bg_conf_distance;
202  int index_bg_ang_distance;
203  int index_bg_lum_distance;
204  int index_bg_time;
205  int index_bg_rs;
207  int index_bg_D;
208  int index_bg_f;
210  int bg_size_short;
211  int bg_size_normal;
212  int bg_size;
215 
219 
220  int bt_size;
221  double * tau_table;
222  double * z_table;
223  double * background_table;
226 
230 
231  double * d2tau_dz2_table;
232  double * d2background_dtau2_table;
235 
236 
249 
250  int index_bi_a;
251  int index_bi_rho_dcdm;
252  int index_bi_rho_dr;
253  int index_bi_rho_fld;
254  int index_bi_phi_scf;
255  int index_bi_phi_prime_scf;
257  int index_bi_time;
258  int index_bi_rs;
259  int index_bi_tau;
260  int index_bi_D;
261  int index_bi_D_prime;
263  int bi_B_size;
264  int bi_size;
267 
277 
278  short has_cdm;
279  short has_dcdm;
280  short has_dr;
281  short has_scf;
282  short has_ncdm;
283  short has_lambda;
284  short has_fld;
285  short has_ur;
286  short has_curvature;
289 
296  int * ncdm_quadrature_strategy;
297  int * ncdm_input_q_size;
298  double * ncdm_qmax;
299  double ** q_ncdm_bg;
300  double ** w_ncdm_bg;
301  double ** q_ncdm;
302  double ** w_ncdm;
303  double ** dlnf0_dlnq_ncdm;
304  int * q_size_ncdm_bg;
305  int * q_size_ncdm;
306  double * factor_ncdm;
309 
315 
316  short short_info;
317  short normal_info;
318  short long_info;
320  short inter_normal;
321  short inter_closeby;
324 
328 
329  short shooting_failed;
331  ErrorMsg shooting_error;
333  short background_verbose;
335  ErrorMsg error_message;
338 };
339 
344 struct background_parameters_and_workspace {
345 
346  /* structures containing fixed input parameters (indices, ...) */
347  struct background * pba;
348 
349  /* workspace */
350  double * pvecback;
351 
352 };
353 
358 struct background_parameters_for_distributions {
359 
360  /* structures containing fixed input parameters (indices, ...) */
361  struct background * pba;
362 
363  /* Additional parameters */
364 
365  /* Index of current distribution function */
366  int n_ncdm;
367 
368  /* Used for interpolating in file of tabulated p-s-d: */
369  int tablesize;
370  double *q;
371  double *f0;
372  double *d2f0;
373  int last_index;
374 
375 };
376 
377 /**************************************************************/
378 /* @cond INCLUDE_WITH_DOXYGEN */
379 /*
380  * Boilerplate for C++
381  */
382 #ifdef __cplusplus
383 extern "C" {
384 #endif
385 
386  int background_at_tau(
387  struct background *pba,
388  double tau,
389  short return_format,
390  short inter_mode,
391  int * last_index,
392  double * pvecback
393  );
394 
395  int background_tau_of_z(
396  struct background *pba,
397  double z,
398  double * tau
399  );
400 
401  int background_functions(
402  struct background *pba,
403  double * pvecback_B,
404  short return_format,
405  double * pvecback
406  );
407 
408  int background_w_fld(
409  struct background * pba,
410  double a,
411  double * w_fld,
412  double * dw_over_da_fld,
413  double * integral_fld);
414 
415  int background_init(
416  struct precision *ppr,
417  struct background *pba
418  );
419 
420  int background_free(
421  struct background *pba
422  );
423 
424  int background_free_input(
425  struct background *pba
426  );
427 
428  int background_free_noinput(
429  struct background *pba
430  );
431 
432  int background_indices(
433  struct background *pba
434  );
435 
436  int background_ncdm_distribution(
437  void *pba,
438  double q,
439  double * f0
440  );
441 
442  int background_ncdm_test_function(
443  void *pba,
444  double q,
445  double * test
446  );
447 
448  int background_ncdm_init(
449  struct precision *ppr,
450  struct background *pba
451  );
452 
453 
454  int background_ncdm_momenta(
455  double * qvec,
456  double * wvec,
457  int qsize,
458  double M,
459  double factor,
460  double z,
461  double * n,
462  double * rho,
463  double * p,
464  double * drho_dM,
465  double * pseudo_p
466  );
467 
468  int background_ncdm_M_from_Omega(
469  struct precision *ppr,
470  struct background *pba,
471  int species
472  );
473 
474  int background_solve(
475  struct precision *ppr,
476  struct background *pba
477  );
478 
479  int background_initial_conditions(
480  struct precision *ppr,
481  struct background *pba,
482  double * pvecback,
483  double * pvecback_integration
484  );
485 
486  int background_find_equality(
487  struct precision *ppr,
488  struct background *pba
489  );
490 
491  int background_output_titles(struct background * pba,
492  char titles[_MAXTITLESTRINGLENGTH_]
493  );
494 
495  int background_output_data(
496  struct background *pba,
497  int number_of_titles,
498  double *data);
499 
500  int background_derivs(
501  double z,
502  double * y,
503  double * dy,
504  void * parameters_and_workspace,
505  ErrorMsg error_message
506  );
507 
509  double V_scf(
510  struct background *pba,
511  double phi
512  );
513 
514  double dV_scf(
515  struct background *pba,
516  double phi
517  );
518 
519  double ddV_scf(
520  struct background *pba,
521  double phi
522  );
523 
525  double Q_scf(
526  struct background *pba,
527  double phi,
528  double phi_prime
529  );
530 
531 #ifdef __cplusplus
532 }
533 #endif
534 
535 /**************************************************************/
536 
542 
543 #define _Mpc_over_m_ 3.085677581282e22
544 /* remark: CAMB uses 3.085678e22: good to know if you want to compare with high accuracy */
545 
546 #define _Gyr_over_Mpc_ 3.06601394e2
548 #define _c_ 2.99792458e8
549 #define _G_ 6.67428e-11
550 #define _eV_ 1.602176487e-19
552 /* parameters entering in Stefan-Boltzmann constant sigma_B */
553 #define _k_B_ 1.3806504e-23
554 #define _h_P_ 6.62606896e-34
555 /* remark: sigma_B = 2 pi^5 k_B^4 / (15h^3c^2) = 5.670400e-8
556  = Stefan-Boltzmann constant in W/m^2/K^4 = Kg/K^4/s^3 */
557 
559 
566 
567 #define _H0_BIG_ 1./2997.9
568 #define _H0_SMALL_ 0.3/2997.9
569 #define _TCMB_BIG_ 2.8
570 #define _TCMB_SMALL_ 2.7
571 #define _TOLERANCE_ON_CURVATURE_ 1.e-5
572 #define _OMEGAK_BIG_ 0.5
573 #define _OMEGAK_SMALL_ -0.5
576 
577 
582 
583 #define _SCALE_BACK_ 0.1
587 #define _PSD_DERIVATIVE_EXP_MIN_ -30
588 #define _PSD_DERIVATIVE_EXP_MAX_ 2
590 #define _zeta3_ 1.2020569031595942853997381615114499907649862923404988817922
591 #define _zeta5_ 1.0369277551433699263313654864570341680570809195019128119741
594 
595 
596 #endif
597 /* @endcond */
equation_of_state
equation_of_state
Definition: background.h:19
-
background::attractor_ic_scf
short attractor_ic_scf
Definition: background.h:88
-
background
Definition: background.h:31
-
background_free_input
int background_free_input(struct background *pba)
Definition: background.c:762
-
background::Neff
double Neff
Definition: background.h:145
-
background::q_size_ncdm
int * q_size_ncdm
Definition: background.h:305
-
background::use_ppf
short use_ppf
Definition: background.h:71
-
background::index_bg_a
int index_bg_a
Definition: background.h:167
-
background::index_bg_rho_b
int index_bg_rho_b
Definition: background.h:174
-
background::inter_normal
short inter_normal
Definition: background.h:320
-
background::Omega0_cdm
double Omega0_cdm
Definition: background.h:54
-
background::background_verbose
short background_verbose
Definition: background.h:333
-
background::index_bi_rho_dr
int index_bi_rho_dr
Definition: background.h:252
-
background::index_bg_time
int index_bg_time
Definition: background.h:204
-
background::scf_tuning_index
int scf_tuning_index
Definition: background.h:93
-
background::inter_closeby
short inter_closeby
Definition: background.h:321
-
background::Omega0_fld
double Omega0_fld
Definition: background.h:58
-
background_ncdm_test_function
int background_ncdm_test_function(void *pbadist, double q, double *test)
Definition: background.c:1174
-
background::Omega0_dcdm
double Omega0_dcdm
Definition: background.h:146
-
background::has_cdm
short has_cdm
Definition: background.h:278
-
background::Omega0_scf
double Omega0_scf
Definition: background.h:87
-
background_parameters_for_distributions
Definition: background.h:358
-
background::index_bg_conf_distance
int index_bg_conf_distance
Definition: background.h:201
-
background_find_equality
int background_find_equality(struct precision *ppr, struct background *pba)
Definition: background.c:2077
-
background::index_bg_rho_ncdm1
int index_bg_rho_ncdm1
Definition: background.h:191
-
background::Omega0_g
double Omega0_g
Definition: background.h:48
-
background::index_bi_tau
int index_bi_tau
Definition: background.h:259
-
background::has_ur
short has_ur
Definition: background.h:285
-
background_w_fld
int background_w_fld(struct background *pba, double a, double *w_fld, double *dw_over_da_fld, double *integral_fld)
Definition: background.c:469
-
background::index_bg_rho_fld
int index_bg_rho_fld
Definition: background.h:177
-
background::Gamma_dcdm
double Gamma_dcdm
Definition: background.h:83
-
background::ncdm_qmax
double * ncdm_qmax
Definition: background.h:298
-
background::index_bg_phi_prime_scf
int index_bg_phi_prime_scf
Definition: background.h:184
-
background::index_bg_rho_dr
int index_bg_rho_dr
Definition: background.h:181
-
background_ncdm_M_from_Omega
int background_ncdm_M_from_Omega(struct precision *ppr, struct background *pba, int n_ncdm)
Definition: background.c:1498
-
background::index_bg_ang_distance
int index_bg_ang_distance
Definition: background.h:202
-
background::has_curvature
short has_curvature
Definition: background.h:286
-
background::index_bg_dV_scf
int index_bg_dV_scf
Definition: background.h:186
-
background::phi_ini_scf
double phi_ini_scf
Definition: background.h:89
-
background::Omega0_dr
double Omega0_dr
Definition: background.h:147
-
background::index_bi_D
int index_bi_D
Definition: background.h:260
-
background::c_gamma_over_c_fld
double c_gamma_over_c_fld
Definition: background.h:77
-
background_initial_conditions
int background_initial_conditions(struct precision *ppr, struct background *pba, double *pvecback, double *pvecback_integration)
Definition: background.c:1872
-
background::z_table
double * z_table
Definition: background.h:222
-
background::deg_ncdm_default
double deg_ncdm_default
Definition: background.h:105
-
background::T_ncdm_default
double T_ncdm_default
Definition: background.h:112
-
background::q_ncdm_bg
double ** q_ncdm_bg
Definition: background.h:299
-
background_tau_of_z
int background_tau_of_z(struct background *pba, double z, double *tau)
Definition: background.c:187
-
background::index_bg_D
int index_bg_D
Definition: background.h:207
-
background::index_bg_V_scf
int index_bg_V_scf
Definition: background.h:185
-
background::q_ncdm
double ** q_ncdm
Definition: background.h:301
-
background::has_lambda
short has_lambda
Definition: background.h:283
-
background::Omega_ini_dcdm
double Omega_ini_dcdm
Definition: background.h:85
-
background::Omega0_ncdm_tot
double Omega0_ncdm_tot
Definition: background.h:104
-
V_scf
double V_scf(struct background *pba, double phi)
Definition: background.c:2466
-
background::normal_info
short normal_info
Definition: background.h:317
-
background::error_message
ErrorMsg error_message
Definition: background.h:335
-
background_ncdm_distribution
int background_ncdm_distribution(void *pbadist, double q, double *f0)
Definition: background.c:1037
-
background::H0
double H0
Definition: background.h:46
-
background::shooting_error
ErrorMsg shooting_error
Definition: background.h:331
-
background::m_ncdm_in_eV
double * m_ncdm_in_eV
Definition: background.h:144
-
background::long_info
short long_info
Definition: background.h:318
-
background::M_ncdm
double * M_ncdm
Definition: background.h:102
-
background::index_bg_w_fld
int index_bg_w_fld
Definition: background.h:178
-
background::scf_parameters_size
int scf_parameters_size
Definition: background.h:92
-
background::ncdm_psd_parameters
double * ncdm_psd_parameters
Definition: background.h:122
-
background::index_bi_a
int index_bi_a
Definition: background.h:250
-
background_indices
int background_indices(struct background *pba)
Definition: background.c:814
-
background::N_ncdm
int N_ncdm
Definition: background.h:101
-
background::scf_parameters
double * scf_parameters
Definition: background.h:91
-
background_init
int background_init(struct precision *ppr, struct background *pba)
Definition: background.c:559
-
background::index_bg_ddV_scf
int index_bg_ddV_scf
Definition: background.h:187
-
background::sgnK
int sgnK
Definition: background.h:143
-
background::Omega0_ur
double Omega0_ur
Definition: background.h:79
-
background::ncdm_psd_files
char * ncdm_psd_files
Definition: background.h:130
-
background::phi_prime_ini_scf
double phi_prime_ini_scf
Definition: background.h:90
-
background::index_bg_rho_dcdm
int index_bg_rho_dcdm
Definition: background.h:180
-
background::index_bg_rs
int index_bg_rs
Definition: background.h:205
-
background_ncdm_momenta
int background_ncdm_momenta(double *qvec, double *wvec, int qsize, double M, double factor, double z, double *n, double *rho, double *p, double *drho_dM, double *pseudo_p)
Definition: background.c:1431
-
background::index_bg_rho_crit
int index_bg_rho_crit
Definition: background.h:199
-
background::bi_B_size
int bi_B_size
Definition: background.h:263
-
background::tau_table
double * tau_table
Definition: background.h:221
-
background::w_ncdm
double ** w_ncdm
Definition: background.h:302
-
background::index_bg_rho_scf
int index_bg_rho_scf
Definition: background.h:188
-
background::index_bg_pseudo_p_ncdm1
int index_bg_pseudo_p_ncdm1
Definition: background.h:193
-
background_free_noinput
int background_free_noinput(struct background *pba)
Definition: background.c:743
-
background::index_bi_rho_dcdm
int index_bi_rho_dcdm
Definition: background.h:251
-
background::ncdm_quadrature_strategy
int * ncdm_quadrature_strategy
Definition: background.h:296
-
background::index_bi_time
int index_bi_time
Definition: background.h:257
-
background::d2background_dtau2_table
double * d2background_dtau2_table
Definition: background.h:232
-
background::factor_ncdm
double * factor_ncdm
Definition: background.h:306
-
background::Omega0_b
double Omega0_b
Definition: background.h:52
-
background::bg_size
int bg_size
Definition: background.h:212
-
background::bi_size
int bi_size
Definition: background.h:264
-
background::index_bg_lum_distance
int index_bg_lum_distance
Definition: background.h:203
-
background_parameters_and_workspace
Definition: background.h:344
-
background_ncdm_init
int background_ncdm_init(struct precision *ppr, struct background *pba)
Definition: background.c:1199
-
background::has_dcdm
short has_dcdm
Definition: background.h:279
-
background::index_bg_Omega_r
int index_bg_Omega_r
Definition: background.h:195
-
background::bg_size_normal
int bg_size_normal
Definition: background.h:211
-
background::w0_fld
double w0_fld
Definition: background.h:62
-
background::wa_fld
double wa_fld
Definition: background.h:63
-
background::w_ncdm_bg
double ** w_ncdm_bg
Definition: background.h:300
-
background::bt_size
int bt_size
Definition: background.h:220
-
background_derivs
int background_derivs(double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
Definition: background.c:2278
-
background::a_today
double a_today
Definition: background.h:159
-
background::cs2_fld
double cs2_fld
Definition: background.h:66
-
background::H_eq
double H_eq
Definition: background.h:149
-
background::index_bg_p_ncdm1
int index_bg_p_ncdm1
Definition: background.h:192
-
background_functions
int background_functions(struct background *pba, double *pvecback_B, short return_format, double *pvecback)
Definition: background.c:244
-
background::bg_size_short
int bg_size_short
Definition: background.h:210
-
background::has_scf
short has_scf
Definition: background.h:281
-
background::T_cmb
double T_cmb
Definition: background.h:50
-
background::index_bg_rho_ur
int index_bg_rho_ur
Definition: background.h:179
-
background::q_size_ncdm_bg
int * q_size_ncdm_bg
Definition: background.h:304
-
background::index_bg_rho_g
int index_bg_rho_g
Definition: background.h:173
-
background::a_eq
double a_eq
Definition: background.h:148
-
background::index_bg_rho_cdm
int index_bg_rho_cdm
Definition: background.h:175
-
background::has_ncdm
short has_ncdm
Definition: background.h:282
-
background::got_files
int * got_files
Definition: background.h:128
-
background::index_bi_D_prime
int index_bi_D_prime
Definition: background.h:261
-
background::h
double h
Definition: background.h:139
-
background::Omega0_dcdmdr
double Omega0_dcdmdr
Definition: background.h:81
-
background::z_eq
double z_eq
Definition: background.h:150
-
background_at_tau
int background_at_tau(struct background *pba, double tau, short return_format, short intermode, int *last_index, double *pvecback)
Definition: background.c:98
- -
background::index_bg_rho_lambda
int index_bg_rho_lambda
Definition: background.h:176
-
background::index_bg_f
int index_bg_f
Definition: background.h:208
-
background::background_table
double * background_table
Definition: background.h:223
-
background::index_bi_phi_prime_scf
int index_bi_phi_prime_scf
Definition: background.h:255
-
precision
Definition: common.h:345
-
background_output_data
int background_output_data(struct background *pba, int number_of_titles, double *data)
Definition: background.c:2200
-
background::Omega0_lambda
double Omega0_lambda
Definition: background.h:56
-
background::d2tau_dz2_table
double * d2tau_dz2_table
Definition: background.h:231
-
background::index_bg_Omega_m
int index_bg_Omega_m
Definition: background.h:200
-
background::index_bi_rs
int index_bi_rs
Definition: background.h:258
-
background::short_info
short short_info
Definition: background.h:316
-
background::dlnf0_dlnq_ncdm
double ** dlnf0_dlnq_ncdm
Definition: background.h:303
-
spatial_curvature
spatial_curvature
Definition: background.h:15
-
background::index_bi_phi_scf
int index_bi_phi_scf
Definition: background.h:254
-
background::index_bg_H_prime
int index_bg_H_prime
Definition: background.h:169
-
background::index_bg_H
int index_bg_H
Definition: background.h:168
-
background::fluid_equation_of_state
enum equation_of_state fluid_equation_of_state
Definition: background.h:60
-
background::index_bg_phi_scf
int index_bg_phi_scf
Definition: background.h:183
-
background_output_titles
int background_output_titles(struct background *pba, char titles[_MAXTITLESTRINGLENGTH_])
Definition: background.c:2150
-
background::ncdm_input_q_size
int * ncdm_input_q_size
Definition: background.h:297
-
background::shooting_failed
short shooting_failed
Definition: background.h:329
-
background::conformal_age
double conformal_age
Definition: background.h:141
-
background::age
double age
Definition: background.h:140
-
background::Omega_EDE
double Omega_EDE
Definition: background.h:64
-
background::index_bi_rho_fld
int index_bi_rho_fld
Definition: background.h:253
-
background::K
double K
Definition: background.h:142
-
background::tau_eq
double tau_eq
Definition: background.h:151
-
background_solve
int background_solve(struct precision *ppr, struct background *pba)
Definition: background.c:1565
-
background::index_bg_p_scf
int index_bg_p_scf
Definition: background.h:189
-
background::has_fld
short has_fld
Definition: background.h:284
-
background::Omega0_k
double Omega0_k
Definition: background.h:99
-
background::ksi_ncdm_default
double ksi_ncdm_default
Definition: background.h:117
-
background_free
int background_free(struct background *pba)
Definition: background.c:720
-
background::has_dr
short has_dr
Definition: background.h:280
-
-
- - - - diff --git a/doc/manual/html/background_8h_structbackground.js b/doc/manual/html/background_8h_structbackground.js deleted file mode 100644 index 0c31b89b..00000000 --- a/doc/manual/html/background_8h_structbackground.js +++ /dev/null @@ -1,135 +0,0 @@ -var background_8h_structbackground = -[ - [ "H0", "background_8h.html#aa78cfbd2348998f01f7301e02f2c7470", null ], - [ "Omega0_g", "background_8h.html#a2803ca707b3250cfe73620ce4d46848f", null ], - [ "T_cmb", "background_8h.html#aacce0972bf2d6ba25b4fa6ebb0cbf42a", null ], - [ "Omega0_b", "background_8h.html#ac082b414dc40c0b5e733c57bd5118631", null ], - [ "Omega0_cdm", "background_8h.html#a9ec8a5cb6af4f689640b76826128df0f", null ], - [ "Omega0_lambda", "background_8h.html#adba7f8bdac5313854cb48580b7562a13", null ], - [ "Omega0_fld", "background_8h.html#a8c8a6bf15b6f48a498c1dc19712431eb", null ], - [ "fluid_equation_of_state", "background_8h.html#a9120b4e2259f7ddbe89bb77db8b30269", null ], - [ "w0_fld", "background_8h.html#a952ea915a9eb9d1ab7a053fc9cd503d4", null ], - [ "wa_fld", "background_8h.html#acdcf0ad1a86fa27264a1bde9beba37d1", null ], - [ "Omega_EDE", "background_8h.html#a73cece3d366da582e32a3e46869d0c17", null ], - [ "cs2_fld", "background_8h.html#a911297f394082415f68263eab8f51127", null ], - [ "use_ppf", "background_8h.html#a7830e03f3d0c7b44bf1bfbb3f50d9b8a", null ], - [ "c_gamma_over_c_fld", "background_8h.html#aa821d266aa8e2bec8a8649b9ecaf5aae", null ], - [ "Omega0_ur", "background_8h.html#a0fb6c6ef3e802c8f11c03a0561ff3994", null ], - [ "Omega0_dcdmdr", "background_8h.html#a35d3f42e265af29cd38a3f35e5fd1392", null ], - [ "Gamma_dcdm", "background_8h.html#a00a94e23ccff5e89a77c12d1a1ef32d8", null ], - [ "Omega_ini_dcdm", "background_8h.html#a31ef8cc19fade403f356531c713a589c", null ], - [ "Omega0_scf", "background_8h.html#a3ec7cb89aee15662360e4ec7b85436f8", null ], - [ "attractor_ic_scf", "background_8h.html#a1fffc38240bd5969bfab7fd8319aaa91", null ], - [ "phi_ini_scf", "background_8h.html#ab52738cef0f6f7156c22ea3410e06559", null ], - [ "phi_prime_ini_scf", "background_8h.html#ac261b364a383b80cdc222e8fd42be5de", null ], - [ "scf_parameters", "background_8h.html#a0f2ca42b920c48c864b4135c3e519d99", null ], - [ "scf_parameters_size", "background_8h.html#a516208b1d53e97e01b39f06df9f83700", null ], - [ "scf_tuning_index", "background_8h.html#afecadd30a392f785ccffff67930909e0", null ], - [ "Omega0_k", "background_8h.html#a35ebd905024845619047dfa78db952c5", null ], - [ "N_ncdm", "background_8h.html#a09ba67b55b60f42115407641d077ea53", null ], - [ "M_ncdm", "background_8h.html#a9d8594c1ee9335c883f42375e71e5125", null ], - [ "Omega0_ncdm_tot", "background_8h.html#a05f67862c306f12461a02afd1c6b955a", null ], - [ "deg_ncdm_default", "background_8h.html#a3b3564e036c5598f9f759c115f8d8a32", null ], - [ "T_ncdm_default", "background_8h.html#a10ccd157c2ca672eec8a402cdb330054", null ], - [ "ksi_ncdm_default", "background_8h.html#a79d6f2dc01ccd89bbba441982bfff33d", null ], - [ "ncdm_psd_parameters", "background_8h.html#a974529db1fe5cbf91fc8513c1b56b7f3", null ], - [ "got_files", "background_8h.html#a1f83cf53eb9a656c780428a86ab995bc", null ], - [ "ncdm_psd_files", "background_8h.html#aa45063cc56ed270925f22707465b4592", null ], - [ "h", "background_8h.html#a15e42418e0ae22959e110abf99a5e07e", null ], - [ "age", "background_8h.html#a369a4c5c388a06aa9fc7b348fa07a898", null ], - [ "conformal_age", "background_8h.html#af5353323a6707b6284399d8b44dd2b3c", null ], - [ "K", "background_8h.html#a8a09d5f6e0efa11f44399f8d8c64857c", null ], - [ "sgnK", "background_8h.html#abfb9604454d58ec29a6d67b4957f98af", null ], - [ "m_ncdm_in_eV", "background_8h.html#a131114b677feb75fb76d4203e849b5c1", null ], - [ "Neff", "background_8h.html#a62011b2fc16a6e812997912686ac3089", null ], - [ "Omega0_dcdm", "background_8h.html#a5d2e52d4d54e0620f5308c1b2d9213ee", null ], - [ "Omega0_dr", "background_8h.html#a29c6752fb9367daa282c161e01e2d9ab", null ], - [ "a_eq", "background_8h.html#aa0ad2aa08ed53a47ca0b44a65bff6870", null ], - [ "H_eq", "background_8h.html#ae14cc8afe76fbfdc026f77c5e8a35fe7", null ], - [ "z_eq", "background_8h.html#a935a0fd24b41fd978c09b1ab6dafb5f9", null ], - [ "tau_eq", "background_8h.html#a364985e5717726c6ca981c3d151b8a89", null ], - [ "a_today", "background_8h.html#a383ea35b2eda4f1849b9be48048344e5", null ], - [ "index_bg_a", "background_8h.html#a593a3f0c2f0115b8e6bd8dcce4f9c124", null ], - [ "index_bg_H", "background_8h.html#a5795fdaf5c2549ce387db6e6e34cac1f", null ], - [ "index_bg_H_prime", "background_8h.html#ac57789197f9f7eadbc81d73108bbadeb", null ], - [ "index_bg_rho_g", "background_8h.html#ae8e15dc91ec567f4e910ea903f643614", null ], - [ "index_bg_rho_b", "background_8h.html#a09c4edd6c3c211b3d857d23a05687111", null ], - [ "index_bg_rho_cdm", "background_8h.html#ac1e98d23829d9b6f1eab33fb4b29ca8d", null ], - [ "index_bg_rho_lambda", "background_8h.html#a636f3702f62a1c750f86235a3e79170b", null ], - [ "index_bg_rho_fld", "background_8h.html#acb3cc80f1ce74073316b89f5e578add8", null ], - [ "index_bg_w_fld", "background_8h.html#a20facea823bf59d21ed4ea8f032d60b0", null ], - [ "index_bg_rho_ur", "background_8h.html#a62951157a480d01724066a4da30d7349", null ], - [ "index_bg_rho_dcdm", "background_8h.html#afe423543b65814cbc80f4d20011e705e", null ], - [ "index_bg_rho_dr", "background_8h.html#ae22a92f574ae53ef72e420ad9e603db3", null ], - [ "index_bg_phi_scf", "background_8h.html#a97cf6a8c0b0a7601947b8cd9638122a1", null ], - [ "index_bg_phi_prime_scf", "background_8h.html#a04237a12fb35d488496706148a4921a5", null ], - [ "index_bg_V_scf", "background_8h.html#a8b1950c9963389d233e8c5c2bd334253", null ], - [ "index_bg_dV_scf", "background_8h.html#ad61281e0d8ab2cbbda08bad2a245d33c", null ], - [ "index_bg_ddV_scf", "background_8h.html#afe0c7d22dfab02ef5352a31a2a3a2ce5", null ], - [ "index_bg_rho_scf", "background_8h.html#a984adc2397c5b4ac589138a82ffc747f", null ], - [ "index_bg_p_scf", "background_8h.html#af2f38dc9fe1b4e69c9f06034ee894ef0", null ], - [ "index_bg_rho_ncdm1", "background_8h.html#acc7706223e8fceafc067f1a9236c13d6", null ], - [ "index_bg_p_ncdm1", "background_8h.html#a1c91022c26391cf130030b36755a964f", null ], - [ "index_bg_pseudo_p_ncdm1", "background_8h.html#ad6df08a252026b6514cba9aae2b2c698", null ], - [ "index_bg_Omega_r", "background_8h.html#a10a925400b473297ae9e8b1f37ea461a", null ], - [ "index_bg_rho_crit", "background_8h.html#a463ac213d2e440f9118ba07dfd3824ec", null ], - [ "index_bg_Omega_m", "background_8h.html#ae47d2c68eacf8948db4ee45f0ae34aef", null ], - [ "index_bg_conf_distance", "background_8h.html#a1cd4697edfdaf27a545e8a10df000b84", null ], - [ "index_bg_ang_distance", "background_8h.html#ae87937fbee956b5f723f1f4128805b87", null ], - [ "index_bg_lum_distance", "background_8h.html#ae2e0c57155c34687bd86cb85a05dcbef", null ], - [ "index_bg_time", "background_8h.html#af410bf7812e2ae6ddaa079cda7c651e5", null ], - [ "index_bg_rs", "background_8h.html#a378cad9f38f57409b3d74644058c73b9", null ], - [ "index_bg_D", "background_8h.html#a3470694d0cc6fdd65b8ee3779e82a7de", null ], - [ "index_bg_f", "background_8h.html#ae5229379ae0fbef095037f4b41b84ebb", null ], - [ "bg_size_short", "background_8h.html#a5cbff7da365e1362a7d20f11d6c7043d", null ], - [ "bg_size_normal", "background_8h.html#a651b3fd365f5cceb9af3bd39d9c85e11", null ], - [ "bg_size", "background_8h.html#a130359e1d60e308dae630ebee2332b81", null ], - [ "bt_size", "background_8h.html#aa44b240483b9a5d173cfcde81340c733", null ], - [ "tau_table", "background_8h.html#ad6b709b1e61e2afb17f27b8a5b09cf95", null ], - [ "z_table", "background_8h.html#a16856423300cf5b8746ed6a6fd7adf56", null ], - [ "background_table", "background_8h.html#aa3b9601706d7f9f46f4ff460591e7ade", null ], - [ "d2tau_dz2_table", "background_8h.html#a7104096aa3d26462cd171ddd79f955ef", null ], - [ "d2background_dtau2_table", "background_8h.html#a9565c380bec8c9caf93064ede368770a", null ], - [ "index_bi_a", "background_8h.html#a671c3e493d495a09ad84cf711f768319", null ], - [ "index_bi_rho_dcdm", "background_8h.html#a1f0b07c67119bfe37a6f0fe1736d05eb", null ], - [ "index_bi_rho_dr", "background_8h.html#a38e5634e610152ae8a8dc17833a1df18", null ], - [ "index_bi_rho_fld", "background_8h.html#aa782576001653604be0f3e5d0beeb60d", null ], - [ "index_bi_phi_scf", "background_8h.html#a80e59fe1ab510c77237bf8af5d4d7503", null ], - [ "index_bi_phi_prime_scf", "background_8h.html#a0a84b0e9c235a84797ff7aadccb503c7", null ], - [ "index_bi_time", "background_8h.html#a9c0a391c023f5e1eb67dd928b2a699a3", null ], - [ "index_bi_rs", "background_8h.html#aa1e98bc1d8a00d66d49b65661bf0e573", null ], - [ "index_bi_tau", "background_8h.html#a6783cf535f070212a6a392c581bb863b", null ], - [ "index_bi_D", "background_8h.html#a7a77fcef21713f98f673adfbca8626ab", null ], - [ "index_bi_D_prime", "background_8h.html#a77d7f46ffcd47060d8405269da53323e", null ], - [ "bi_B_size", "background_8h.html#abd6b3cff248235abb658f0ab90b6c712", null ], - [ "bi_size", "background_8h.html#a738e597f277f45470000979f9cb360f4", null ], - [ "has_cdm", "background_8h.html#afdbecc1d3a9c66455776d822ba779495", null ], - [ "has_dcdm", "background_8h.html#acddb16d4884498f3f65012e35d8a6ad5", null ], - [ "has_dr", "background_8h.html#af082409dbf48f0760f3ae9c0d9c94064", null ], - [ "has_scf", "background_8h.html#acf1c4a6b4e8f2fe176ea9ef19a528333", null ], - [ "has_ncdm", "background_8h.html#a2bffb876100e06719440ab70155d771e", null ], - [ "has_lambda", "background_8h.html#ae37394e93a9affa2c4b2834835e377ff", null ], - [ "has_fld", "background_8h.html#a349bce42f3647a4eb964712e9ae55979", null ], - [ "has_ur", "background_8h.html#a8117c138bbf5229a82a75e7050bbbcb6", null ], - [ "has_curvature", "background_8h.html#a9c310bc35b545d3b11a0ba0248ada0fe", null ], - [ "ncdm_quadrature_strategy", "background_8h.html#a17271539e7ea4dc8bd12eb6bfa8226dc", null ], - [ "ncdm_input_q_size", "background_8h.html#afbbadd6d926e8380ec64d85bbbc240cf", null ], - [ "ncdm_qmax", "background_8h.html#a6443854e2bb51b44b58a9deb4579edbd", null ], - [ "q_ncdm_bg", "background_8h.html#ad340bcb42208c72411825c5652b62ef9", null ], - [ "w_ncdm_bg", "background_8h.html#a45fe099176d7cf0e2196d437a7ef1d6f", null ], - [ "q_ncdm", "background_8h.html#af3d60c01da32ca94c422c7ea8738ab56", null ], - [ "w_ncdm", "background_8h.html#a8b70adca7e18544a5c89efa89506bec5", null ], - [ "dlnf0_dlnq_ncdm", "background_8h.html#a0d55e502abf84a474a51af8d9d352ae3", null ], - [ "q_size_ncdm_bg", "background_8h.html#a42ed113e1a20b0cb96266a6325ee39de", null ], - [ "q_size_ncdm", "background_8h.html#aaac0382a4c479123b0e0f836920da6df", null ], - [ "factor_ncdm", "background_8h.html#a96b570d10c77a6fc4ca09759ed233906", null ], - [ "short_info", "background_8h.html#a539b135329ad8c7493e936a559062170", null ], - [ "normal_info", "background_8h.html#a94e49478108e40a1a392fca2c4fe6086", null ], - [ "long_info", "background_8h.html#a323b663d2f3722d50460d8cf25aa19cd", null ], - [ "inter_normal", "background_8h.html#a083d789cd5c93095f3a822989b68f838", null ], - [ "inter_closeby", "background_8h.html#aed6bd9f48d0ba8fb2cee9f4163584cc2", null ], - [ "shooting_failed", "background_8h.html#a378f8b0f2a436630570e71f0387a70ab", null ], - [ "shooting_error", "background_8h.html#ae8db621ec63803a3fcf02f3122d48b11", null ], - [ "background_verbose", "background_8h.html#a76e7e8bb2e0a7e4910de61772b459fdc", null ], - [ "error_message", "background_8h.html#ac2aa2ba4b8592e3f4c3bb8a2924dcf42", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/bc_s.png b/doc/manual/html/bc_s.png deleted file mode 100644 index 36975b09..00000000 Binary files a/doc/manual/html/bc_s.png and /dev/null differ diff --git a/doc/manual/html/bdwn.png b/doc/manual/html/bdwn.png deleted file mode 100644 index 9c4c505e..00000000 Binary files a/doc/manual/html/bdwn.png and /dev/null differ diff --git a/doc/manual/html/class_8c.html b/doc/manual/html/class_8c.html deleted file mode 100644 index 131d3e0d..00000000 --- a/doc/manual/html/class_8c.html +++ /dev/null @@ -1,131 +0,0 @@ - - - - - - - -CLASS MANUAL: class.c File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
class.c File Reference
-
-
-
#include "class.h"
-
- + Include dependency graph for class.c:
-
-
- -

Detailed Description

-

Julien Lesgourgues, 17.04.2011

-
-
- - - - diff --git a/doc/manual/html/class_8c__incl.map b/doc/manual/html/class_8c__incl.map deleted file mode 100644 index 28486c13..00000000 --- a/doc/manual/html/class_8c__incl.map +++ /dev/null @@ -1,23 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/class_8c__incl.md5 b/doc/manual/html/class_8c__incl.md5 deleted file mode 100644 index 77f802f6..00000000 --- a/doc/manual/html/class_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -267ed6e46691ed7619da9ba598f1b83d \ No newline at end of file diff --git a/doc/manual/html/class_8c__incl.png b/doc/manual/html/class_8c__incl.png deleted file mode 100644 index 329e8f2c..00000000 Binary files a/doc/manual/html/class_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/class_8h_source.html b/doc/manual/html/class_8h_source.html deleted file mode 100644 index 0ccc3cb4..00000000 --- a/doc/manual/html/class_8h_source.html +++ /dev/null @@ -1,109 +0,0 @@ - - - - - - - -CLASS MANUAL: class.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
class.h
-
-
-
1 #ifndef __CLASS__
2 #define __CLASS__
3 
4 /* standard libraries */
5 #include "stdio.h"
6 #include "stdlib.h"
7 #include "math.h"
8 #include "string.h"
9 #include "float.h"
10 #ifdef _OPENMP
11 #include "omp.h"
12 #endif
13 
14 /* tools for class */
15 #include "quadrature.h"
16 #include "growTable.h"
17 #include "arrays.h"
18 #include "dei_rkck.h"
19 #include "parser.h"
20 
21 /* class modules */
22 #include "common.h"
23 #include "input.h"
24 #include "background.h"
25 #include "thermodynamics.h"
26 #include "perturbations.h"
27 #include "primordial.h"
28 #include "nonlinear.h"
29 #include "transfer.h"
30 #include "spectra.h"
31 #include "lensing.h"
32 #include "output.h"
33 
34 #endif
- - - - - - - - - - -
-
- - - - diff --git a/doc/manual/html/classes.html b/doc/manual/html/classes.html deleted file mode 100644 index a4bb9df6..00000000 --- a/doc/manual/html/classes.html +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Structure Index - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
Data Structure Index
-
-
-
b | l | n | o | p | r | s | t
- - - - - - - - - - - -
  b  
-
  n  
-		perturb_vector   reionization   thermodynamics_parameters_and_workspace   
perturb_workspace   
  s  
-		transfer_workspace   
background   nonlinear   perturbs   transfers   
background_parameters_and_workspace   
  o  
-		precision   spectra   
background_parameters_for_distributions   primordial   
  t  
-
  l  
-		output   
  r  
-
  p  
-		thermo   
lensing   recombination   
perturb_parameters_and_workspace   
-
b | l | n | o | p | r | s | t
-
-
- - - - diff --git a/doc/manual/html/closed.png b/doc/manual/html/closed.png deleted file mode 100644 index d18888a5..00000000 Binary files a/doc/manual/html/closed.png and /dev/null differ diff --git a/doc/manual/html/common_8h.html b/doc/manual/html/common_8h.html deleted file mode 100644 index af56102e..00000000 --- a/doc/manual/html/common_8h.html +++ /dev/null @@ -1,1296 +0,0 @@ - - - - - - - -CLASS MANUAL: common.h File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Data Structures | -Enumerations
-
-
common.h File Reference
-
-
-
#include "stdio.h"
-#include "stdlib.h"
-#include "math.h"
-#include "string.h"
-#include "float.h"
-#include "svnversion.h"
-#include <stdarg.h>
-
- + Include dependency graph for common.h:
-
-
- -
- + This graph shows which files directly or indirectly include this file:
-
-
- -
-

Go to the source code of this file.

- - - - -

-Data Structures

struct  precision
 
- - - - - - - -

-Enumerations

enum  evolver_type
 
enum  pk_def { delta_m_squared, -delta_tot_squared, -delta_bc_squared, -delta_tot_from_poisson_squared - }
 
enum  file_format
 
-

Detailed Description

-

Generic libraries, parameters and functions used in the whole code.

-

Data Structure Documentation

- -

◆ precision

- -
-
- - - - -
struct precision
-
-

All precision parameters.

-

Includes integrations steps, flags telling how the computation is to be performed, etc.

-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Data Fields
-double -a_ini_over_a_today_default -

default initial value of scale factor in background integration, in units of scale factor today

-
-double -back_integration_stepsize -

default step d tau in background integration, in units of conformal Hubble time ( $ d \tau $ = back_integration_stepsize / aH )

-
-double -tol_background_integration -

parameter controlling precision of background integration

-
-double -tol_initial_Omega_r -

parameter controlling how deep inside radiation domination must the initial time be chosen

-
-double -tol_M_ncdm -

parameter controlling relative precision of ncdm mass for given ncdm current density

-
-double -tol_ncdm_newtonian -

parameter controlling relative precision of integrals over ncdm phase-space distribution during perturbation calculation: value to be applied in Newtonian gauge

-
-double -tol_ncdm_synchronous -

parameter controlling relative precision of integrals over ncdm phase-space distribution during perturbation calculation: value to be applied in synchronous gauge

-
-double -tol_ncdm -

parameter controlling relative precision of integrals over ncdm phase-space distribution during perturbation calculation: value actually applied in chosen gauge

-
-double -tol_ncdm_bg -

parameter controlling relative precision of integrals over ncdm phase-space distribution during background evolution

-
-double -tol_ncdm_initial_w -

parameter controlling how relativistic must non-cold relics be at initial time

-
-double -safe_phi_scf -

parameter controlling the initial scalar field in background functions

-
-double -tol_tau_eq -

parameter controlling precision with which tau_eq (conformal time at radiation/matter equality) is found (units: Mpc)

-
-double -recfast_z_initial -

initial redshift in recfast

-
-int -recfast_Nz0 -

number of integration steps

-
-double -tol_thermo_integration -

precision of each integration step

-
-int -recfast_Heswitch -

recfast 1.4 parameter

-
-double -recfast_fudge_He -

recfast 1.4 parameter

-
-int -recfast_Hswitch -

recfast 1.5 switching parameter

-
-double -recfast_fudge_H -

H fudge factor when recfast_Hswitch set to false (v1.4 fudging)

-
-double -recfast_delta_fudge_H -

correction to H fudge factor in v1.5

-
-double -recfast_AGauss1 -

Amplitude of 1st Gaussian

-
-double -recfast_AGauss2 -

Amplitude of 2nd Gaussian

-
-double -recfast_zGauss1 -

ln(1+z) of 1st Gaussian

-
-double -recfast_zGauss2 -

ln(1+z) of 2nd Gaussian

-
-double -recfast_wGauss1 -

Width of 1st Gaussian

-
-double -recfast_wGauss2 -

Width of 2nd Gaussian

-
-double -recfast_z_He_1 -

down to which redshift Helium fully ionized

-
-double -recfast_delta_z_He_1 -

z range over which transition is smoothed

-
-double -recfast_z_He_2 -

down to which redshift first Helium recombination not complete

-
-double -recfast_delta_z_He_2 -

z range over which transition is smoothed

-
-double -recfast_z_He_3 -

down to which redshift Helium singly ionized

-
-double -recfast_delta_z_He_3 -

z range over which transition is smoothed

-
-double -recfast_x_He0_trigger -

value below which recfast uses the full equation for Helium

-
-double -recfast_x_He0_trigger2 -

a second threshold used in derivative routine

-
-double -recfast_x_He0_trigger_delta -

x_He range over which transition is smoothed

-
-double -recfast_x_H0_trigger -

value below which recfast uses the full equation for Hydrogen

-
-double -recfast_x_H0_trigger2 -

a second threshold used in derivative routine

-
-double -recfast_x_H0_trigger_delta -

x_H range over which transition is smoothed

-
-double -recfast_H_frac -

governs time at which full equation of evolution for Tmat is used

-
-double -reionization_z_start_max -

maximum redshift at which reionization should start. If not, return an error.

-
-double -reionization_sampling -

control stepsize in z during reionization

-
-double -reionization_optical_depth_tol -

fractional error on optical_depth

-
-double -reionization_start_factor -

parameter for CAMB-like parametrization

-
-int -thermo_rate_smoothing_radius -

plays a minor (almost aesthetic) role in the definition of the variation rate of thermodynamical quantities

-
-enum evolver_type -evolver -

which type of evolver for integrating perturbations (Runge-Kutta? Stiff?...)

-
-double -k_min_tau0 -

number defining k_min for the computation of Cl's and P(k)'s (dimensionless): (k_min tau_0), usually chosen much smaller than one

-
-double -k_max_tau0_over_l_max -

number defining k_max for the computation of Cl's (dimensionless): (k_max tau_0)/l_max, usually chosen around two

-
-double -k_step_sub -

step in k space, in units of one period of acoustic oscillation at decoupling, for scales inside sound horizon at decoupling

-
-double -k_step_super -

step in k space, in units of one period of acoustic oscillation at decoupling, for scales above sound horizon at decoupling

-
-double -k_step_transition -

dimensionless number regulating the transition from 'sub' steps to 'super' steps. Decrease for more precision.

-
-double -k_step_super_reduction -

the step k_step_super is reduced by this amount in the k–>0 limit (below scale of Hubble and/or curvature radius)

-
-double -k_per_decade_for_pk -

if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade outside the BAO region

-
-double -k_per_decade_for_bao -

if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade inside the BAO region (for finer sampling)

-
-double -k_bao_center -

in ln(k) space, the central value of the BAO region where sampling is finer is defined as k_rec times this number (recommended: 3, i.e. finest sampling near 3rd BAO peak)

-
-double -k_bao_width -

in ln(k) space, width of the BAO region where sampling is finer: this number gives roughly the number of BAO oscillations well resolved on both sides of the central value (recommended: 4, i.e. finest sampling from before first up to 3+4=7th peak)

-
-double -start_small_k_at_tau_c_over_tau_h -

largest wavelengths start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, $ \tau_c/\tau_H $. Start when start_largek_at_tau_c_over_tau_h equals this ratio. Decrease this value to start integrating the wavenumbers earlier in time.

-
-double -start_large_k_at_tau_h_over_tau_k -

largest wavelengths start being sampled when mode is sufficiently outside Hubble scale. This is quantified in terms of the ratio of hubble time scale to wavenumber time scale, $ \tau_h/\tau_k $ which is roughly equal to (k*tau). Start when this ratio equals start_large_k_at_tau_k_over_tau_h. Decrease this value to start integrating the wavenumbers earlier in time.

-
-double -tight_coupling_trigger_tau_c_over_tau_h -

when to switch off tight-coupling approximation: first condition: $ \tau_c/\tau_H $ > tight_coupling_trigger_tau_c_over_tau_h. Decrease this value to switch off earlier in time. If this number is larger than start_sources_at_tau_c_over_tau_h, the code returns an error, because the source computation requires tight-coupling to be switched off.

-
-double -tight_coupling_trigger_tau_c_over_tau_k -

when to switch off tight-coupling approximation: second condition: $ \tau_c/\tau_k \equiv k \tau_c $ < tight_coupling_trigger_tau_c_over_tau_k. Decrease this value to switch off earlier in time.

-
-double -start_sources_at_tau_c_over_tau_h -

sources start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, $ \tau_c/\tau_H $. Start when start_sources_at_tau_c_over_tau_h equals this ratio. Decrease this value to start sampling the sources earlier in time.

-
-int -tight_coupling_approximation -

method for tight coupling approximation

-
-int -l_max_g -

number of momenta in Boltzmann hierarchy for photon temperature (scalar), at least 4

-
-int -l_max_pol_g -

number of momenta in Boltzmann hierarchy for photon polarization (scalar), at least 4

-
-int -l_max_dr -

number of momenta in Boltzmann hierarchy for decay radiation, at least 4

-
-int -l_max_ur -

number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4

-
-int -l_max_ncdm -

number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4

-
-int -l_max_g_ten -

number of momenta in Boltzmann hierarchy for photon temperature (tensor), at least 4

-
-int -l_max_pol_g_ten -

number of momenta in Boltzmann hierarchy for photon polarization (tensor), at least 4

-
-double -curvature_ini -

initial condition for curvature for adiabatic

-
-double -entropy_ini -

initial condition for entropy perturbation for isocurvature

-
-double -gw_ini -

initial condition for tensor metric perturbation h

-
-double -perturb_integration_stepsize -

default step $ d \tau $ in perturbation integration, in units of the timescale involved in the equations (usually, the min of $ 1/k $, $ 1/aH $, $ 1/\dot{\kappa} $)

-
-double -perturb_sampling_stepsize -

default step $ d \tau $ for sampling the source function, in units of the timescale involved in the sources: $ (\dot{\kappa}- \ddot{\kappa}/\dot{\kappa})^{-1} $

-
-double -tol_perturb_integration -

control parameter for the precision of the perturbation integration

-
-double -tol_tau_approx -

precision with which the code should determine (by bisection) the times at which sources start being sampled, and at which approximations must be switched on/off (units of Mpc)

-
-int -radiation_streaming_approximation -

method for switching off photon perturbations

-
-double -radiation_streaming_trigger_tau_over_tau_k -

when to switch off photon perturbations, ie when to switch on photon free-streaming approximation (keep density and thtau, set shear and higher momenta to zero): first condition: $ k \tau $ > radiation_streaming_trigger_tau_h_over_tau_k

-
-double -radiation_streaming_trigger_tau_c_over_tau -

when to switch off photon perturbations, ie when to switch on photon free-streaming approximation (keep density and theta, set shear and higher momenta to zero): second condition:

-
-int -ur_fluid_approximation -

method for ultra relativistic fluid approximation

-
-double -ur_fluid_trigger_tau_over_tau_k -

when to switch off ur (massless neutrinos / ultra-relativistic relics) fluid approximation

-
-int -ncdm_fluid_approximation -

method for non-cold dark matter fluid approximation

-
-double -ncdm_fluid_trigger_tau_over_tau_k -

when to switch off ncdm (massive neutrinos / non-cold relics) fluid approximation

-
-double -neglect_CMB_sources_below_visibility -

whether CMB source functions can be approximated as zero when visibility function g(tau) is tiny

-
-double -k_per_decade_primordial -

logarithmic sampling for primordial spectra (number of points per decade in k space)

-
-double -primordial_inflation_ratio_min -

for each k, start following wavenumber when aH = k/primordial_inflation_ratio_min

-
-double -primordial_inflation_ratio_max -

for each k, stop following wavenumber, at the latest, when aH = k/primordial_inflation_ratio_max

-
-int -primordial_inflation_phi_ini_maxit -

maximum number of iteration when searching a suitable initial field value phi_ini (value reached when no long-enough slow-roll period before the pivot scale)

-
-double -primordial_inflation_pt_stepsize -

controls the integration timestep for inflaton perturbations

-
-double -primordial_inflation_bg_stepsize -

controls the integration timestep for inflaton background

-
-double -primordial_inflation_tol_integration -

controls the precision of the ODE integration during inflation

-
-double -primordial_inflation_attractor_precision_pivot -

targeted precision when searching attractor solution near phi_pivot

-
-double -primordial_inflation_attractor_precision_initial -

targeted precision when searching attractor solution near phi_ini

-
-int -primordial_inflation_attractor_maxit -

maximum number of iteration when searching attractor solution

-
-double -primordial_inflation_tol_curvature -

for each k, stop following wavenumber, at the latest, when curvature perturbation R is stable up to to this tolerance

-
-double -primordial_inflation_aH_ini_target -

control the step size in the search for a suitable initial field value

-
-double -primordial_inflation_end_dphi -

first bracketing width, when trying to bracket the value phi_end at which inflation ends naturally

-
-double -primordial_inflation_end_logstep -

logarithmic step for updating the bracketing width, when trying to bracket the value phi_end at which inflation ends naturally

-
-double -primordial_inflation_small_epsilon -

value of slow-roll parameter epsilon used to define a field value phi_end close to the end of inflation (doesn't need to be exactly at the end): epsilon(phi_end)=small_epsilon (should be smaller than one)

-
-double -primordial_inflation_small_epsilon_tol -

tolerance in the search for phi_end

-
-double -primordial_inflation_extra_efolds -

a small number of efolds, irrelevant at the end, used in the search for the pivot scale (backward from the end of inflation)

-
-int -l_linstep -

factor for logarithmic spacing of values of l over which bessel and transfer functions are sampled

-
-double -l_logstep -

maximum spacing of values of l over which Bessel and transfer functions are sampled (so, spacing becomes linear instead of logarithmic at some point)

-
-double -hyper_x_min -

flat case: lower bound on the smallest value of x at which we sample $ \Phi_l^{\nu}(x)$ or $ j_l(x)$

-
-double -hyper_sampling_flat -

flat case: number of sampled points x per approximate wavelength $ 2\pi $

-
-double -hyper_sampling_curved_low_nu -

open/closed cases: number of sampled points x per approximate wavelength $ 2\pi/\nu$, when $ \nu $ smaller than hyper_nu_sampling_step

-
-double -hyper_sampling_curved_high_nu -

open/closed cases: number of sampled points x per approximate wavelength $ 2\pi/\nu$, when $ \nu $ greater than hyper_nu_sampling_step

-
-double -hyper_nu_sampling_step -

open/closed cases: value of nu at which sampling changes

-
-double -hyper_phi_min_abs -

small value of Bessel function used in calculation of first point x ( $ \Phi_l^{\nu}(x) $ equals hyper_phi_min_abs)

-
-double -hyper_x_tol -

tolerance parameter used to determine first value of x

-
-double -hyper_flat_approximation_nu -

value of nu below which the flat approximation is used to compute Bessel function

-
-double -q_linstep -

asymptotic linear sampling step in q space, in units of $ 2\pi/r_a(\tau_rec) $ (comoving angular diameter distance to recombination)

-
-double -q_logstep_spline -

initial logarithmic sampling step in q space, in units of $ 2\pi/r_a(\tau_{rec})$ (comoving angular diameter distance to recombination)

-
-double -q_logstep_open -

in open models, the value of q_logstep_spline must be decreased according to curvature. Increasing this number will make the calculation more accurate for large positive Omega_k

-
-double -q_logstep_trapzd -

initial logarithmic sampling step in q space, in units of $ 2\pi/r_a(\tau_{rec}) $ (comoving angular diameter distance to recombination), in the case of small q's in the closed case, for which one must used trapezoidal integration instead of spline (the number of q's for which this is the case decreases with curvature and vanishes in the flat limit)

-
-double -q_numstep_transition -

number of steps for the transition from q_logstep_trapzd steps to q_logstep_spline steps (transition must be smooth for spline)

-
-double -transfer_neglect_delta_k_S_t0 -

for temperature source function T0 of scalar mode, range of k values (in 1/Mpc) taken into account in transfer function: for l < (k-delta_k)*tau0, ie for k > (l/tau0 + delta_k), the transfer function is set to zero

-
-double -transfer_neglect_delta_k_S_t1 -

same for temperature source function T1 of scalar mode

-
-double -transfer_neglect_delta_k_S_t2 -

same for temperature source function T2 of scalar mode

-
-double -transfer_neglect_delta_k_S_e -

same for polarization source function E of scalar mode

-
-double -transfer_neglect_delta_k_V_t1 -

same for temperature source function T1 of vector mode

-
-double -transfer_neglect_delta_k_V_t2 -

same for temperature source function T2 of vector mode

-
-double -transfer_neglect_delta_k_V_e -

same for polarization source function E of vector mode

-
-double -transfer_neglect_delta_k_V_b -

same for polarization source function B of vector mode

-
-double -transfer_neglect_delta_k_T_t2 -

same for temperature source function T2 of tensor mode

-
-double -transfer_neglect_delta_k_T_e -

same for polarization source function E of tensor mode

-
-double -transfer_neglect_delta_k_T_b -

same for polarization source function B of tensor mode

-
-double -transfer_neglect_late_source -

value of l below which the CMB source functions can be neglected at late time, excepted when there is a Late ISW contribution

-
-double -l_switch_limber -

when to use the Limber approximation for project gravitational potential cl's

-
-double -l_switch_limber_for_nc_local_over_z -

when to use the Limber approximation for local number count contributions to cl's (relative to central redshift of each bin)

-
-double -l_switch_limber_for_nc_los_over_z -

when to use the Limber approximation for number count contributions to cl's integrated along the line-of-sight (relative to central redshift of each bin)

-
-double -selection_cut_at_sigma -

in sigma units, where to cut gaussian selection functions

-
-double -selection_sampling -

controls sampling of integral over time when selection functions vary quicker than Bessel functions. Increase for better sampling.

-
-double -selection_sampling_bessel -

controls sampling of integral over time when selection functions vary slower than Bessel functions. Increase for better sampling

-
-double -selection_sampling_bessel_los -

controls sampling of integral over time when selection functions vary slower than Bessel functions. This parameter is specific to number counts contributions to Cl integrated along the line of sight. Increase for better sampling

-
-double -selection_tophat_edge -

controls how smooth are the edge of top-hat window function (<<1 for very sharp, 0.1 for sharp)

-
-double -halofit_min_k_nonlinear -

parameters relevant for HALOFIT computation value of k in 1/Mpc below which non-linear corrections will be neglected

-
-double -halofit_min_k_max -

when halofit is used, k_max must be at least equal to this value (otherwise halofit could not find the scale of non-linearity). Calculations are done internally until this k_max, but the output is still controlled by P_k_max_1/Mpc or P_k_max_h/Mpc even if they are smaller

-
-double -halofit_k_per_decade -

halofit needs to evalute integrals (linear power spectrum times some kernels). They are sampled using this logarithmic step size.

-
-double -halofit_sigma_precision -

a smaller value will lead to a more precise halofit result at the highest redshift at which halofit can make computations, at the expense of requiring a larger k_max; but this parameter is not relevant for the precision on P_nl(k,z) at other redshifts, so there is normally no need to change it

-
-double -halofit_tol_sigma -

tolerance required on sigma(R) when matching the condition sigma(R_nl)=1, whcih defines the wavenumber of non-linearity, k_nl=1./R_nl

-
-double -pk_eq_z_max -

Maximum z until which the Pk_equal method of 0810.0190 and 1601.07230 is used

-
-double -pk_eq_tol -

tolerance for finding the equivalent models of the pk_equal method

-
-int -accurate_lensing -

switch between Gauss-Legendre quadrature integration and simple quadrature on a subdomain of angles

-
-int -num_mu_minus_lmax -

difference between num_mu and l_max, increase for more precision

-
-int -delta_l_max -

difference between l_max in unlensed and lensed spectra

-
-double -tol_gauss_legendre -

tolerance with which quadrature points are found: must be very small for an accurate integration (if not entered manually, set automatically to match machine precision)

-
-double -smallest_allowed_variation -

machine-dependent, assigned automatically by the code

-
-ErrorMsg -error_message -

zone for writing error messages

-
- -
-
-

Enumeration Type Documentation

- -

◆ evolver_type

- -
-
- - - - -
enum evolver_type
-
-

parameters related to the precision of the code and to the method of calculation list of evolver types for integrating perturbations over time

- -
-
- -

◆ pk_def

- -
-
- - - - -
enum pk_def
-
-

List of ways in which matter power spectrum P(k) can be defined. The standard definition is the first one (delta_m_squared) but alternative definitions can be useful in some projects.

- - - - - -
Enumerator
delta_m_squared 

normal definition (delta_m includes all non-relativistic species at late times)

-
delta_tot_squared 

delta_tot includes all species contributions to (delta rho), and only non-relativistic contributions to rho

-
delta_bc_squared 

delta_bc includes contribution of baryons and cdm only to (delta rho) and to rho

-
delta_tot_from_poisson_squared 

use delta_tot inferred from gravitational potential through Poisson equation

-
- -
-
- -

◆ file_format

- -
-
- - - - -
enum file_format
-
-

Different ways to present output files

- -
-
-
-
- - - - diff --git a/doc/manual/html/common_8h.js b/doc/manual/html/common_8h.js deleted file mode 100644 index e4842deb..00000000 --- a/doc/manual/html/common_8h.js +++ /dev/null @@ -1,161 +0,0 @@ -var common_8h = -[ - [ "precision", "common_8h.html#structprecision", [ - [ "a_ini_over_a_today_default", "common_8h.html#aad54dc307fbda7514b045d1bb75a174a", null ], - [ "back_integration_stepsize", "common_8h.html#ac356ae1b7e53af98eadb495a3b299a38", null ], - [ "tol_background_integration", "common_8h.html#a444a8511365ba815a2108479b5f79bfe", null ], - [ "tol_initial_Omega_r", "common_8h.html#a3b31e70cffa90b36fb9fe4513e34fd66", null ], - [ "tol_M_ncdm", "common_8h.html#a8a51f9bfe97ab2af8af02537a1d6f347", null ], - [ "tol_ncdm_newtonian", "common_8h.html#a440fc376b6c9dd2ee7d9a72d592791a0", null ], - [ "tol_ncdm_synchronous", "common_8h.html#ac4688bdc06229edbee1e15f3ca2b03fd", null ], - [ "tol_ncdm", "common_8h.html#a763719a8b90aae456d74f87c3a7137fb", null ], - [ "tol_ncdm_bg", "common_8h.html#a1f4cefd79a27e4922a4f06c46c0133cd", null ], - [ "tol_ncdm_initial_w", "common_8h.html#ad8ef5cb57e7ff804c242ccbdf40648ea", null ], - [ "safe_phi_scf", "common_8h.html#a466692f5b5e43b0497f10fcf026c2e7f", null ], - [ "tol_tau_eq", "common_8h.html#a7bafc83c0ddf73503579bec181559932", null ], - [ "recfast_z_initial", "common_8h.html#ad9c73e5c9019211142475ba97fe8fd6e", null ], - [ "recfast_Nz0", "common_8h.html#a1f9b23047c7f4c44b63cca8f0edbf019", null ], - [ "tol_thermo_integration", "common_8h.html#a1a512eddd17b9854e95c1a890df2703f", null ], - [ "recfast_Heswitch", "common_8h.html#a4aa431d63bf3196c102c90bcb596ca9e", null ], - [ "recfast_fudge_He", "common_8h.html#a6c07e19d381f030b6368f06f5680d265", null ], - [ "recfast_Hswitch", "common_8h.html#a497b4cbf0c90c3ed4e29a419bbe6498d", null ], - [ "recfast_fudge_H", "common_8h.html#ac2b62878fb26a5f2f32f7edba5ba4c65", null ], - [ "recfast_delta_fudge_H", "common_8h.html#abff0c7d09550d634ef93c4be63e44a7b", null ], - [ "recfast_AGauss1", "common_8h.html#a5e3afcd2c33645568a7552e37799e6ca", null ], - [ "recfast_AGauss2", "common_8h.html#a4a07b656500992c88780f6af63f98e66", null ], - [ "recfast_zGauss1", "common_8h.html#a7939de1608d831ca7497618b20163faf", null ], - [ "recfast_zGauss2", "common_8h.html#a8f2fd05f518e3d4a9800a5c865d4e0de", null ], - [ "recfast_wGauss1", "common_8h.html#a6a61bf75aa641053eab06a1247078d74", null ], - [ "recfast_wGauss2", "common_8h.html#a5a779464a1ef26f995dae24093c76bde", null ], - [ "recfast_z_He_1", "common_8h.html#a7e2634e9e694d7d6acc996dc610579a3", null ], - [ "recfast_delta_z_He_1", "common_8h.html#a6f83df79296e559842318b4894c55102", null ], - [ "recfast_z_He_2", "common_8h.html#ac92beb002d61a8afdd204b1432437094", null ], - [ "recfast_delta_z_He_2", "common_8h.html#a0b99b63be9c59286f4afae6ab8e963f0", null ], - [ "recfast_z_He_3", "common_8h.html#abd7782b17fbffd7603d11a3bd481d32c", null ], - [ "recfast_delta_z_He_3", "common_8h.html#a3426ca473df3dcd4cb7005a57ad58d64", null ], - [ "recfast_x_He0_trigger", "common_8h.html#a1bc8f906109a242a2a1ea5263b45616a", null ], - [ "recfast_x_He0_trigger2", "common_8h.html#abd3579dff4fcb28bc34d5049c66676e6", null ], - [ "recfast_x_He0_trigger_delta", "common_8h.html#af0d067e9438df41926ee456a1b8e74ff", null ], - [ "recfast_x_H0_trigger", "common_8h.html#a281ad75dd6a1546ad08ec87d5027642e", null ], - [ "recfast_x_H0_trigger2", "common_8h.html#a9ae32d778f02b1f7cc5c59d6f7dc3500", null ], - [ "recfast_x_H0_trigger_delta", "common_8h.html#a0bc3ac27b918dd2fcb0eea0ebcac7252", null ], - [ "recfast_H_frac", "common_8h.html#ac74ae582d36b809d49ae1e385951f51e", null ], - [ "reionization_z_start_max", "common_8h.html#a54f06b9c9e4358e85ae00a82d2be3073", null ], - [ "reionization_sampling", "common_8h.html#a328de572f865c8d0bda2f583e3617d59", null ], - [ "reionization_optical_depth_tol", "common_8h.html#a3763d41dc9c0bb87f04fc8d446034beb", null ], - [ "reionization_start_factor", "common_8h.html#a77bd046140bf5087fd14e9f5ae748317", null ], - [ "thermo_rate_smoothing_radius", "common_8h.html#a0759177e93ea433d82589bfe04df4e38", null ], - [ "evolver", "common_8h.html#abf73fec0ba7a2b9bfc2b31f0ad69637b", null ], - [ "k_min_tau0", "common_8h.html#aeac5c1c43202273395e87a94224ce0a9", null ], - [ "k_max_tau0_over_l_max", "common_8h.html#a97d5f791e87f30f894a5ba0f0a8eed5a", null ], - [ "k_step_sub", "common_8h.html#a07ba1a203e7ea715dfe7ae2799ae18b7", null ], - [ "k_step_super", "common_8h.html#a6f18fea5cd97ab1ee45dea423b2ce162", null ], - [ "k_step_transition", "common_8h.html#a5ee3dad46e6bca34b6ba05aa2f9f68dc", null ], - [ "k_step_super_reduction", "common_8h.html#acd10d8e37647e08051e527ba608a45c5", null ], - [ "k_per_decade_for_pk", "common_8h.html#a44385574a37fa0a1ffd638c4e8c78c6d", null ], - [ "k_per_decade_for_bao", "common_8h.html#aacd801b9cb8b7df946ffa229b9645723", null ], - [ "k_bao_center", "common_8h.html#a4e71de45a9b087c4294be70904594e85", null ], - [ "k_bao_width", "common_8h.html#a4c8a6260f43f1e8c632b7718b0e82b14", null ], - [ "start_small_k_at_tau_c_over_tau_h", "common_8h.html#a57d70caf5f7ed4c637c73b90527a3865", null ], - [ "start_large_k_at_tau_h_over_tau_k", "common_8h.html#ae46ec4a2a7c9e25081e9a601fe7a218d", null ], - [ "tight_coupling_trigger_tau_c_over_tau_h", "common_8h.html#aacaf9891d53114a8a10007941798e310", null ], - [ "tight_coupling_trigger_tau_c_over_tau_k", "common_8h.html#a983753708e2dc77c482bb7364d423ac2", null ], - [ "start_sources_at_tau_c_over_tau_h", "common_8h.html#abf52d5fb24720ce936c3108820a32361", null ], - [ "tight_coupling_approximation", "common_8h.html#a7e9a3d631f1368a546e92235075ed7a8", null ], - [ "l_max_g", "common_8h.html#abac166faeb6ad1dc7f2444cd0e00cb29", null ], - [ "l_max_pol_g", "common_8h.html#a60a346a5f7ac91b7f4e192b41ba1d279", null ], - [ "l_max_dr", "common_8h.html#a5393476f92ce80b7f46300e1f8d21a5d", null ], - [ "l_max_ur", "common_8h.html#a568cb71c90fb5ebb82851dabd9d6135a", null ], - [ "l_max_ncdm", "common_8h.html#a55cf9da97cd32bf397d1ffe0a1467ba0", null ], - [ "l_max_g_ten", "common_8h.html#a961483a52e5d54f72e5e906bc5dd8977", null ], - [ "l_max_pol_g_ten", "common_8h.html#ab3a6fd17b3bb2c34e1f427625e5044a4", null ], - [ "curvature_ini", "common_8h.html#a4442f124b8794be09b9c4101d3953ccc", null ], - [ "entropy_ini", "common_8h.html#a6ce401f13c63206c868683b31a92b6f2", null ], - [ "gw_ini", "common_8h.html#a041374f376ae5b6f9192b15c78b8bb73", null ], - [ "perturb_integration_stepsize", "common_8h.html#a5762210bd94b59011e8d3be114e83e4a", null ], - [ "perturb_sampling_stepsize", "common_8h.html#a4497a61ff0002e2356946594ec4d89ce", null ], - [ "tol_perturb_integration", "common_8h.html#ae9a16f763f0e6590d9fb6b907feda4a5", null ], - [ "tol_tau_approx", "common_8h.html#a3aee719ebdf06817d4ac62116f168afa", null ], - [ "radiation_streaming_approximation", "common_8h.html#a86e61a89341bae5d84249ced0d2670bf", null ], - [ "radiation_streaming_trigger_tau_over_tau_k", "common_8h.html#a70be98231733bf02a15e1a27fa15a7c4", null ], - [ "radiation_streaming_trigger_tau_c_over_tau", "common_8h.html#a836edca74feaf881aaece2c3ea9a7046", null ], - [ "ur_fluid_approximation", "common_8h.html#a9a6594663647ebb3ce010d8154562865", null ], - [ "ur_fluid_trigger_tau_over_tau_k", "common_8h.html#af91c68cd3475bd7b4739d0f9e0569d55", null ], - [ "ncdm_fluid_approximation", "common_8h.html#a6b62112800de6f262f64b557a9196597", null ], - [ "ncdm_fluid_trigger_tau_over_tau_k", "common_8h.html#a54c961c3fe76802a2aade252088c5c26", null ], - [ "neglect_CMB_sources_below_visibility", "common_8h.html#a2154eafeea247599857b87d549afacd3", null ], - [ "k_per_decade_primordial", "common_8h.html#afbf2e72248f3c25bee2f64c61ca981b5", null ], - [ "primordial_inflation_ratio_min", "common_8h.html#a2eb22cce2a952c3f6694144495763326", null ], - [ "primordial_inflation_ratio_max", "common_8h.html#afa22510b85c145c8ae2d4414aeb21fb2", null ], - [ "primordial_inflation_phi_ini_maxit", "common_8h.html#af5cf46019b39ccb708d864fa42ebbafb", null ], - [ "primordial_inflation_pt_stepsize", "common_8h.html#a3c15bd987d537aa0da62849613b0f258", null ], - [ "primordial_inflation_bg_stepsize", "common_8h.html#a690f47ac04ee5f5de4f8af0800b23be5", null ], - [ "primordial_inflation_tol_integration", "common_8h.html#a936e91a0394a27f46706550993de79d6", null ], - [ "primordial_inflation_attractor_precision_pivot", "common_8h.html#a1bd6a29b44675212577ae20619427d10", null ], - [ "primordial_inflation_attractor_precision_initial", "common_8h.html#ac36bfac5bf99d2ecacdfda31420060b1", null ], - [ "primordial_inflation_attractor_maxit", "common_8h.html#a4355a8eb656279f80ff63956be8d7e49", null ], - [ "primordial_inflation_tol_curvature", "common_8h.html#af05193504f126a2a1dbc34e4fd26219d", null ], - [ "primordial_inflation_aH_ini_target", "common_8h.html#ad86876b6f583fcd0ca9c7146f2d749e3", null ], - [ "primordial_inflation_end_dphi", "common_8h.html#af58ec8aa0a925457a63a0dc6fbd512af", null ], - [ "primordial_inflation_end_logstep", "common_8h.html#ac6690436e0d643a9b99773d591a76da4", null ], - [ "primordial_inflation_small_epsilon", "common_8h.html#a3d2de2d9d767cd04b858335a1c1224ee", null ], - [ "primordial_inflation_small_epsilon_tol", "common_8h.html#a3dc4f0226335fd96b007078fb267fe61", null ], - [ "primordial_inflation_extra_efolds", "common_8h.html#a64e544d03b3c76a0c7d31633f379bec5", null ], - [ "l_linstep", "common_8h.html#a64c68a1863d043f4a5df26286ffd98e5", null ], - [ "l_logstep", "common_8h.html#aa7e27015428cc6b8ad5435b7c26ff1cf", null ], - [ "hyper_x_min", "common_8h.html#afff52b2c2abfeb40dae00d962673863c", null ], - [ "hyper_sampling_flat", "common_8h.html#a341a7c9f5eae2a34e5b7cdce7b7f7cd4", null ], - [ "hyper_sampling_curved_low_nu", "common_8h.html#a1f1cefc01fe7577c13fa29ff72fd7f33", null ], - [ "hyper_sampling_curved_high_nu", "common_8h.html#a189424c601a1aa57d416c2521d97d28e", null ], - [ "hyper_nu_sampling_step", "common_8h.html#add96752739b131bd7f329e61ca1eb801", null ], - [ "hyper_phi_min_abs", "common_8h.html#a4cc34c4de7bf45fc14eb899b98194f87", null ], - [ "hyper_x_tol", "common_8h.html#ae5cb43b403222a7893e92f41289b8682", null ], - [ "hyper_flat_approximation_nu", "common_8h.html#a2c3a1bd14bb08d08f5dbbd9b098a5d7c", null ], - [ "q_linstep", "common_8h.html#a62e37243c95722e36c66d08618d69802", null ], - [ "q_logstep_spline", "common_8h.html#a1cc18c3ec1984a62ec83fde3466a3263", null ], - [ "q_logstep_open", "common_8h.html#aeffb3906406388c9778ca17f5baa45cd", null ], - [ "q_logstep_trapzd", "common_8h.html#a4e957a19ae397686d6dadf4e1fc6075a", null ], - [ "q_numstep_transition", "common_8h.html#a678c2efbad7f314da2279699c2d30ba0", null ], - [ "transfer_neglect_delta_k_S_t0", "common_8h.html#a7379458633652db2f1aa409df6fb9599", null ], - [ "transfer_neglect_delta_k_S_t1", "common_8h.html#a1e42196c8410b72c38f9548f07de34bc", null ], - [ "transfer_neglect_delta_k_S_t2", "common_8h.html#a7ce334dccea37f60b468b8506e91423c", null ], - [ "transfer_neglect_delta_k_S_e", "common_8h.html#a10368fbcea5cb3f7eb6f56f44126f789", null ], - [ "transfer_neglect_delta_k_V_t1", "common_8h.html#afefe0741183b00f7d651ba0bdd49d0f5", null ], - [ "transfer_neglect_delta_k_V_t2", "common_8h.html#af975d509e9ab98ec6d8944bb79ca39ce", null ], - [ "transfer_neglect_delta_k_V_e", "common_8h.html#a21a8d2719b9650bb5b32f71681c59784", null ], - [ "transfer_neglect_delta_k_V_b", "common_8h.html#aa487db7e90275100a39018c4cee5c20d", null ], - [ "transfer_neglect_delta_k_T_t2", "common_8h.html#a7f2b6302f3936213569e8e5615a95df7", null ], - [ "transfer_neglect_delta_k_T_e", "common_8h.html#a89229e22af124a00b2e0b31380f9a8db", null ], - [ "transfer_neglect_delta_k_T_b", "common_8h.html#af5d251d407b7631fe9c9b6878156adc6", null ], - [ "transfer_neglect_late_source", "common_8h.html#a01684a8901b4a6db68f61433b90c804d", null ], - [ "l_switch_limber", "common_8h.html#a17b12dee0a13c51a2c784ed9bcf988a2", null ], - [ "l_switch_limber_for_nc_local_over_z", "common_8h.html#acfd2414789a48c1ffea0aae0ebbe6e03", null ], - [ "l_switch_limber_for_nc_los_over_z", "common_8h.html#a7a4eb61c1a9b00c560deb9ed6a70fa72", null ], - [ "selection_cut_at_sigma", "common_8h.html#a5c6432808b685646fc59de7581ae0b97", null ], - [ "selection_sampling", "common_8h.html#a3268045bd1aa56ba4b67d3fc66a7ab17", null ], - [ "selection_sampling_bessel", "common_8h.html#aff7c31600012254167cd68433ca54948", null ], - [ "selection_sampling_bessel_los", "common_8h.html#ae060611b14823b714e6e450d18123a2b", null ], - [ "selection_tophat_edge", "common_8h.html#a159b8a7f01062a7b8456d57935441948", null ], - [ "halofit_min_k_nonlinear", "common_8h.html#acf85ffaeeefea5704d7df193d738e388", null ], - [ "halofit_min_k_max", "common_8h.html#a686f8c90cc81580c52fd01165e793a34", null ], - [ "halofit_k_per_decade", "common_8h.html#a81f4880893807d14a59ff4818ebe9a21", null ], - [ "halofit_sigma_precision", "common_8h.html#aa68f0ff8af918a5b1628af6699c53902", null ], - [ "halofit_tol_sigma", "common_8h.html#a1fe8140092306b49d86576e181166af6", null ], - [ "pk_eq_z_max", "common_8h.html#a115f47aedeac72cb8534f7f7ca0a6416", null ], - [ "pk_eq_tol", "common_8h.html#afa85ffd7c1df2a7cd56f961c3128f1d5", null ], - [ "accurate_lensing", "common_8h.html#a68db439b8c6c4f86e6ed4bddf622048a", null ], - [ "num_mu_minus_lmax", "common_8h.html#ac99c1152d8b70ca3408ba7aad3d10f9a", null ], - [ "delta_l_max", "common_8h.html#a9170fe3386b23313c66d6baaaa182ff7", null ], - [ "tol_gauss_legendre", "common_8h.html#a76852c9fb933263cdcd88fa7d1f6419a", null ], - [ "smallest_allowed_variation", "common_8h.html#a6ce36b0a85e6a760aa8ec232fb5289fb", null ], - [ "error_message", "common_8h.html#a1ad6fe4f58eff070f3879d20aa05dc5b", null ] - ] ], - [ "evolver_type", "common_8h.html#a554a0cdfc80aa49273197d324b2e9956", null ], - [ "pk_def", "common_8h.html#aab161982846c9e414cccea37822f4b0c", [ - [ "delta_m_squared", "common_8h.html#aab161982846c9e414cccea37822f4b0cadf09cc6e3587e8d8f58386df9305c6ce", null ], - [ "delta_tot_squared", "common_8h.html#aab161982846c9e414cccea37822f4b0caad4f0a8f52a0e789973f85d0351d359b", null ], - [ "delta_bc_squared", "common_8h.html#aab161982846c9e414cccea37822f4b0ca3ac991356a90d7ef50cf06f2e287939e", null ], - [ "delta_tot_from_poisson_squared", "common_8h.html#aab161982846c9e414cccea37822f4b0ca8406d31036bb2d430753210d3270f7b2", null ] - ] ], - [ "file_format", "common_8h.html#abd81d11867ad50357ea8332e8d36cf8a", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/common_8h__dep__incl.map b/doc/manual/html/common_8h__dep__incl.map deleted file mode 100644 index 4e499e9d..00000000 --- a/doc/manual/html/common_8h__dep__incl.map +++ /dev/null @@ -1,36 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/common_8h__dep__incl.md5 b/doc/manual/html/common_8h__dep__incl.md5 deleted file mode 100644 index 9d5752ee..00000000 --- a/doc/manual/html/common_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -d75c7c7f80b0df13d3f8f1768e0a8650 \ No newline at end of file diff --git a/doc/manual/html/common_8h__dep__incl.png b/doc/manual/html/common_8h__dep__incl.png deleted file mode 100644 index 7cd78157..00000000 Binary files a/doc/manual/html/common_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/common_8h__incl.map b/doc/manual/html/common_8h__incl.map deleted file mode 100644 index 97b75718..00000000 --- a/doc/manual/html/common_8h__incl.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/common_8h__incl.md5 b/doc/manual/html/common_8h__incl.md5 deleted file mode 100644 index bcda78ba..00000000 --- a/doc/manual/html/common_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -703c2c35a19b90c7573f891b763eaa7b \ No newline at end of file diff --git a/doc/manual/html/common_8h__incl.png b/doc/manual/html/common_8h__incl.png deleted file mode 100644 index 462c3abe..00000000 Binary files a/doc/manual/html/common_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/common_8h_source.html b/doc/manual/html/common_8h_source.html deleted file mode 100644 index 1bab1636..00000000 --- a/doc/manual/html/common_8h_source.html +++ /dev/null @@ -1,254 +0,0 @@ - - - - - - - -CLASS MANUAL: common.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
common.h
-
-
-Go to the documentation of this file.
1 
3 #include "stdio.h"
4 #include "stdlib.h"
5 #include "math.h"
6 #include "string.h"
7 #include "float.h"
8 #include "svnversion.h"
9 #include <stdarg.h>
10 
11 #ifdef _OPENMP
12 #include "omp.h"
13 #endif
14 
15 #ifndef __COMMON__
16 #define __COMMON__
17 
18 #define _VERSION_ "v2.7.1"
19 /* @cond INCLUDE_WITH_DOXYGEN */
20 
21 #define _TRUE_ 1
22 #define _FALSE_ 0
24 #define _SUCCESS_ 0
25 #define _FAILURE_ 1
27 #define _ERRORMSGSIZE_ 2048
28 typedef char ErrorMsg[_ERRORMSGSIZE_];
30 #define _FILENAMESIZE_ 256
31 typedef char FileName[_FILENAMESIZE_];
32 
33 #define _PI_ 3.1415926535897932384626433832795e0
35 #define _PIHALF_ 1.57079632679489661923132169164e0
37 #define _TWOPI_ 6.283185307179586476925286766559e0
39 #define _SQRT2_ 1.41421356237309504880168872421e0
41 #define _SQRT6_ 2.4494897427831780981972840747059e0
43 #define _SQRT_PI_ 1.77245385090551602729816748334e0
45 #define _MAX_IT_ 10000
47 #define _QUADRATURE_MAX_ 250
49 #define _QUADRATURE_MAX_BG_ 800
51 #define _TOLVAR_ 100.
53 #define _HUGE_ 1.e99
54 
55 #define _OUTPUTPRECISION_ 12
57 #define _COLUMNWIDTH_ 24
59 #define _MAXTITLESTRINGLENGTH_ 8000
61 #define _DELIMITER_ "\t"
65 #ifndef __CLASSDIR__
66 #define __CLASSDIR__ "."
67 #endif
68 
69 #define MIN(a,b) (((a)<(b)) ? (a) : (b) )
70 #define MAX(a,b) (((a)<(b)) ? (b) : (a) )
71 #define SIGN(a) (((a)>0) ? 1. : -1. )
72 #define NRSIGN(a,b) ((b) >= 0.0 ? fabs(a) : -fabs(a))
73 #define index_symmetric_matrix(i1,i2,N) (((i1)<=(i2)) ? (i2+N*i1-(i1*(i1+1))/2) : (i1+N*i2-(i2*(i2+1))/2))
74 /* @endcond */
75 // needed because of weird openmp bug on macosx lion...
76 void class_protect_sprintf(char* dest, char* tpl,...);
77 void class_protect_fprintf(FILE* dest, char* tpl,...);
78 void* class_protect_memcpy(void* dest, void* from, size_t sz);
79 
80 int get_number_of_titles(char * titlestring);
81 
82 #define class_build_error_string(dest,tmpl,...) { \
83  ErrorMsg FMsg; \
84  class_protect_sprintf(FMsg,tmpl,__VA_ARGS__); \
85  class_protect_sprintf(dest,"%s(L:%d) :%s",__func__,__LINE__,FMsg); \
86 }
87 
88 // Error reporting macros
89 
90 // Call
91 #define class_call_message(err_out,extra,err_mess) \
92  class_build_error_string(err_out,"error in %s;\n=>%s",extra,err_mess);
93 
94 /* macro for calling function and returning error if it failed */
95 #define class_call_except(function, error_message_from_function, error_message_output,list_of_commands) { \
96  if (function == _FAILURE_) { \
97  class_call_message(error_message_output,#function,error_message_from_function); \
98  list_of_commands; \
99  return _FAILURE_; \
100  } \
101 }
102 
103 /* macro for trying to call function */
104 #define class_call_try(function, error_message_from_function, error_message_output,list_of_commands) { \
105  if (function == _FAILURE_) { \
106  class_call_message(error_message_output,#function,error_message_from_function); \
107  list_of_commands; \
108  } \
109 }
110 
111 /* macro for calling function and returning error if it failed */
112 #define class_call(function, error_message_from_function, error_message_output) \
113  class_call_except(function, error_message_from_function,error_message_output,)
114 
115 /* same in parallel region */
116 #define class_call_parallel(function, error_message_from_function, error_message_output) { \
117  if (abort == _FALSE_) { \
118  if (function == _FAILURE_) { \
119  class_call_message(error_message_output,#function,error_message_from_function); \
120  abort=_TRUE_; \
121  } \
122  } \
123 }
124 
125 
126 
127 
128 // Alloc
129 #define class_alloc_message(err_out,extra,sz) \
130  class_build_error_string(err_out,"could not allocate %s with size %d",extra,sz);
131 
132 /* macro for allocating memory and returning error if it failed */
133 #define class_alloc(pointer, size, error_message_output) { \
134  pointer=malloc(size); \
135  if (pointer == NULL) { \
136  int size_int; \
137  size_int = size; \
138  class_alloc_message(error_message_output,#pointer, size_int); \
139  return _FAILURE_; \
140  } \
141 }
142 
143 /* same inside parallel structure */
144 #define class_alloc_parallel(pointer, size, error_message_output) { \
145  pointer=NULL; \
146  if (abort == _FALSE_) { \
147  pointer=malloc(size); \
148  if (pointer == NULL) { \
149  int size_int; \
150  size_int = size; \
151  class_alloc_message(error_message_output,#pointer, size_int); \
152  abort=_TRUE_; \
153  } \
154  } \
155 }
156 
157 /* macro for allocating memory, initializing it with zeros/ and returning error if it failed */
158 #define class_calloc(pointer, init,size, error_message_output) { \
159  pointer=calloc(init,size); \
160  if (pointer == NULL) { \
161  int size_int; \
162  size_int = size; \
163  class_alloc_message(error_message_output,#pointer, size_int); \
164  return _FAILURE_; \
165  } \
166 }
167 
168 /* macro for re-allocating memory, returning error if it failed */
169 #define class_realloc(pointer, newname, size, error_message_output) { \
170  pointer=realloc(newname,size); \
171  if (pointer == NULL) { \
172  int size_int; \
173  size_int = size; \
174  class_alloc_message(error_message_output,#pointer, size_int); \
175  return _FAILURE_; \
176  } \
177 }
178 
179 // Testing
180 
181 #define class_test_message(err_out,extra,args...) { \
182  ErrorMsg Optional_arguments; \
183  class_protect_sprintf(Optional_arguments,args); \
184  class_build_error_string(err_out,"condition (%s) is true; %s",extra,Optional_arguments); \
185 }
186 
187 /* macro for testing condition and returning error if condition is true;
188  args is a variable list of optional arguments, e.g.: args="x=%d",x
189  args cannot be empty, if there is nothing to pass use args="" */
190 #define class_test_except(condition, error_message_output,list_of_commands, args...) { \
191  if (condition) { \
192  class_test_message(error_message_output,#condition, args); \
193  list_of_commands; \
194  return _FAILURE_; \
195  } \
196 }
197 
198 #define class_test(condition, error_message_output, args...) { \
199  if (condition) { \
200  class_test_message(error_message_output,#condition, args); \
201  return _FAILURE_; \
202  } \
203 }
204 
205 #define class_test_parallel(condition, error_message_output, args...) { \
206  if (abort == _FALSE_) { \
207  if (condition) { \
208  class_test_message(error_message_output,#condition, args); \
209  abort=_TRUE_; \
210  } \
211  } \
212 }
213 
214 /* macro for returning error message;
215  args is a variable list of optional arguments, e.g.: args="x=%d",x
216  args cannot be empty, if there is nothing to pass use args="" */
217 #define class_stop(error_message_output,args...) { \
218  ErrorMsg Optional_arguments; \
219  class_protect_sprintf(Optional_arguments,args); \
220  class_build_error_string(error_message_output,"error; %s",Optional_arguments); \
221  return _FAILURE_; \
222 }
223 
224 // IO
225 /* macro for opening file and returning error if it failed */
226 #define class_open(pointer, filename, mode, error_output) { \
227  pointer=fopen(filename,mode); \
228  if (pointer == NULL) { \
229  class_build_error_string(error_output,"could not open %s with name %s and mode %s",#pointer,filename,#mode); \
230  return _FAILURE_; \
231  } \
232 }
233 
234 /* macro for defining indices (usually one, sometimes a block) */
235 #define class_define_index(index, \
236  condition, \
237  running_index, \
238  number_of_indices) { \
239  if (condition) { \
240  index = running_index; \
241  running_index += number_of_indices; \
242  } \
243  }
244 
245 /* macros for writing formatted output */
246 #define class_fprintf_double(file, \
247  output, \
248  condition){ \
249  if (condition == _TRUE_) \
250  fprintf(file,"%*.*e ",_COLUMNWIDTH_,_OUTPUTPRECISION_,output); \
251  }
252 
253 #define class_fprintf_double_or_default(file, \
254  output, \
255  condition, \
256  defaultvalue){ \
257  if (condition == _TRUE_) \
258  fprintf(file,"%*.*e ",_COLUMNWIDTH_,_OUTPUTPRECISION_,output); \
259  else \
260  fprintf(file,"%*.*e ",_COLUMNWIDTH_,_OUTPUTPRECISION_,defaultvalue); \
261 }
262 
263 #define class_fprintf_int(file, \
264  output, \
265  condition){ \
266  if (condition == _TRUE_) \
267  fprintf(file,"%*d%*s ", \
268  MAX(0,_COLUMNWIDTH_-_OUTPUTPRECISION_-5), \
269  output, _OUTPUTPRECISION_+5," "); \
270  }
271 
272 #define class_fprintf_columntitle(file, \
273  title, \
274  condition, \
275  colnum){ \
276  if (condition == _TRUE_) \
277  fprintf(file,"%*s%2d:%-*s ", \
278  MAX(0,MIN(_COLUMNWIDTH_-_OUTPUTPRECISION_-6-3,_COLUMNWIDTH_-((int) strlen(title))-3)), \
279  "",colnum++,_OUTPUTPRECISION_+6,title); \
280  }
281 
282 #define class_store_columntitle(titlestring, \
283  title, \
284  condition){ \
285  if (condition == _TRUE_){ \
286  strcat(titlestring,title); \
287  strcat(titlestring,_DELIMITER_); \
288  } \
289  }
290 //,_MAXTITLESTRINGLENGTH_-strlen(titlestring)-1);
291 
292 #define class_store_double(storage, \
293  value, \
294  condition, \
295  dataindex){ \
296  if (condition == _TRUE_) \
297  storage[dataindex++] = value; \
298  }
299 
300 #define class_store_double_or_default(storage, \
301  value, \
302  condition, \
303  dataindex, \
304  defaultvalue){ \
305  if (condition == _TRUE_) \
306  storage[dataindex++] = value; \
307  else \
308  storage[dataindex++] = defaultvalue; \
309 }
310 
316 enum evolver_type {
317  rk, /* Runge-Kutta integrator */
318  ndf15 /* stiff integrator */
319 };
320 
327 enum pk_def {
328  delta_m_squared,
329  delta_tot_squared,
330  delta_bc_squared,
331  delta_tot_from_poisson_squared
332 };
337 enum file_format {class_format,camb_format};
338 
345 struct precision
346 {
347 
350 
355  double a_ini_over_a_today_default;
356 
361  double back_integration_stepsize;
362 
366  double tol_background_integration;
367 
368 
373  double tol_initial_Omega_r;
374 
379  double tol_M_ncdm;
380 
386  double tol_ncdm_newtonian;
387 
393  double tol_ncdm_synchronous;
394 
400  double tol_ncdm;
401 
406  double tol_ncdm_bg;
407 
412  double tol_ncdm_initial_w;
413 
417  double safe_phi_scf;
418 
423  double tol_tau_eq;
424 
426 
430 
431  /* - for bbn */
432 /* @cond INCLUDE_WITH_DOXYGEN */
433  FileName sBBN_file;
434 /* @endcond */
435  /* - for recombination */
436 
437  /* initial and final redshifts in recfast */
438 
439  double recfast_z_initial;
441  /* parameters governing precision of integration */
442 
443  int recfast_Nz0;
444  double tol_thermo_integration;
446  /* He fudge parameters from recfast 1.4 */
447 
448  int recfast_Heswitch;
449  double recfast_fudge_He;
451  /* H fudge parameters from recfast 1.5 (Gaussian fits for extra H physics by Adam Moss) */
452 
453  int recfast_Hswitch;
454  double recfast_fudge_H;
455  double recfast_delta_fudge_H;
456  double recfast_AGauss1;
457  double recfast_AGauss2;
458  double recfast_zGauss1;
459  double recfast_zGauss2;
460  double recfast_wGauss1;
461  double recfast_wGauss2;
463  /* triggers for switching approximations; ranges for doing it smoothly */
464 
465  double recfast_z_He_1;
466  double recfast_delta_z_He_1;
468  double recfast_z_He_2;
469  double recfast_delta_z_He_2;
471  double recfast_z_He_3;
472  double recfast_delta_z_He_3;
474  double recfast_x_He0_trigger;
475  double recfast_x_He0_trigger2;
476  double recfast_x_He0_trigger_delta;
478  double recfast_x_H0_trigger;
479  double recfast_x_H0_trigger2;
480  double recfast_x_H0_trigger_delta;
482  double recfast_H_frac;
483 /* @cond INCLUDE_WITH_DOXYGEN */
484  FileName hyrec_Alpha_inf_file;
485  FileName hyrec_R_inf_file;
486  FileName hyrec_two_photon_tables_file;
487 /* @endcond */
488  /* - for reionization */
489 
490  double reionization_z_start_max;
491  double reionization_sampling;
492  double reionization_optical_depth_tol;
493  double reionization_start_factor;
495  /* - general */
496 
497  int thermo_rate_smoothing_radius;
500 
504 
505  enum evolver_type evolver;
507  double k_min_tau0;
509  double k_max_tau0_over_l_max;
511  double k_step_sub;
512  double k_step_super;
513  double k_step_transition;
514  double k_step_super_reduction;
516  double k_per_decade_for_pk;
518  double k_per_decade_for_bao;
520  double k_bao_center;
522  double k_bao_width;
524  double start_small_k_at_tau_c_over_tau_h;
526  double start_large_k_at_tau_h_over_tau_k;
536  double tight_coupling_trigger_tau_c_over_tau_h;
537 
544  double tight_coupling_trigger_tau_c_over_tau_k;
545 
546  double start_sources_at_tau_c_over_tau_h;
548  int tight_coupling_approximation;
550  int l_max_g;
551  int l_max_pol_g;
552  int l_max_dr;
553  int l_max_ur;
554  int l_max_ncdm;
555  int l_max_g_ten;
556  int l_max_pol_g_ten;
558  double curvature_ini;
559  double entropy_ini;
560  double gw_ini;
565  double perturb_integration_stepsize;
566 
570  double perturb_sampling_stepsize;
571 
575  double tol_perturb_integration;
576 
582  double tol_tau_approx;
583 
587  int radiation_streaming_approximation;
588 
595  double radiation_streaming_trigger_tau_over_tau_k;
596 
603  double radiation_streaming_trigger_tau_c_over_tau;
604 
605  int ur_fluid_approximation;
611  double ur_fluid_trigger_tau_over_tau_k;
612 
613  int ncdm_fluid_approximation;
619  double ncdm_fluid_trigger_tau_over_tau_k;
620 
625  double neglect_CMB_sources_below_visibility;
626 
628 
632 
633  double k_per_decade_primordial;
635  double primordial_inflation_ratio_min;
636  double primordial_inflation_ratio_max;
637  int primordial_inflation_phi_ini_maxit;
638  double primordial_inflation_pt_stepsize;
639  double primordial_inflation_bg_stepsize;
640  double primordial_inflation_tol_integration;
641  double primordial_inflation_attractor_precision_pivot;
642  double primordial_inflation_attractor_precision_initial;
643  int primordial_inflation_attractor_maxit;
644  double primordial_inflation_tol_curvature;
645  double primordial_inflation_aH_ini_target;
646  double primordial_inflation_end_dphi;
647  double primordial_inflation_end_logstep;
648  double primordial_inflation_small_epsilon;
649  double primordial_inflation_small_epsilon_tol;
650  double primordial_inflation_extra_efolds;
653 
657 
658  int l_linstep;
660  double l_logstep;
662  /* parameters relevant for bessel functions */
663  double hyper_x_min;
664  double hyper_sampling_flat;
665  double hyper_sampling_curved_low_nu;
666  double hyper_sampling_curved_high_nu;
667  double hyper_nu_sampling_step;
668  double hyper_phi_min_abs;
669  double hyper_x_tol;
670  double hyper_flat_approximation_nu;
672  /* parameters relevant for transfer function */
673 
674  double q_linstep;
679  double q_logstep_spline;
684  double q_logstep_open;
691  double q_logstep_trapzd;
702  double q_numstep_transition;
707  double transfer_neglect_delta_k_S_t0;
708  double transfer_neglect_delta_k_S_t1;
709  double transfer_neglect_delta_k_S_t2;
710  double transfer_neglect_delta_k_S_e;
711  double transfer_neglect_delta_k_V_t1;
712  double transfer_neglect_delta_k_V_t2;
713  double transfer_neglect_delta_k_V_e;
714  double transfer_neglect_delta_k_V_b;
715  double transfer_neglect_delta_k_T_t2;
716  double transfer_neglect_delta_k_T_e;
717  double transfer_neglect_delta_k_T_b;
719  double transfer_neglect_late_source;
722  double l_switch_limber;
723 
725  double l_switch_limber_for_nc_local_over_z;
726 
728  double l_switch_limber_for_nc_los_over_z;
729 
731  double selection_cut_at_sigma;
732 
734  double selection_sampling;
735 
737  double selection_sampling_bessel;
738 
740  double selection_sampling_bessel_los;
741 
743  double selection_tophat_edge;
744 
746 
750 
753  double halofit_min_k_nonlinear;
756  double halofit_min_k_max;
765  double halofit_k_per_decade;
770  double halofit_sigma_precision;
778  double halofit_tol_sigma;
783  double pk_eq_z_max;
785  double pk_eq_tol;
788 
792 
793  int accurate_lensing;
794  int num_mu_minus_lmax;
795  int delta_l_max;
796  double tol_gauss_legendre;
798 
802 
803  double smallest_allowed_variation;
806 
810 
811  ErrorMsg error_message;
814 
815 };
816 
817 
818 
819 #endif
precision::k_step_sub
double k_step_sub
Definition: common.h:511
-
precision::reionization_sampling
double reionization_sampling
Definition: common.h:491
-
precision::start_large_k_at_tau_h_over_tau_k
double start_large_k_at_tau_h_over_tau_k
Definition: common.h:526
-
precision::start_small_k_at_tau_c_over_tau_h
double start_small_k_at_tau_c_over_tau_h
Definition: common.h:524
-
precision::recfast_x_H0_trigger2
double recfast_x_H0_trigger2
Definition: common.h:479
-
precision::tol_gauss_legendre
double tol_gauss_legendre
Definition: common.h:796
-
precision::radiation_streaming_trigger_tau_c_over_tau
double radiation_streaming_trigger_tau_c_over_tau
Definition: common.h:603
-
precision::transfer_neglect_delta_k_V_t2
double transfer_neglect_delta_k_V_t2
Definition: common.h:712
-
precision::ncdm_fluid_trigger_tau_over_tau_k
double ncdm_fluid_trigger_tau_over_tau_k
Definition: common.h:619
-
precision::transfer_neglect_delta_k_S_t2
double transfer_neglect_delta_k_S_t2
Definition: common.h:709
-
precision::tol_tau_approx
double tol_tau_approx
Definition: common.h:582
-
delta_bc_squared
Definition: common.h:330
-
precision::perturb_sampling_stepsize
double perturb_sampling_stepsize
Definition: common.h:570
-
precision::recfast_wGauss2
double recfast_wGauss2
Definition: common.h:461
-
precision::l_max_g
int l_max_g
Definition: common.h:550
-
precision::hyper_sampling_flat
double hyper_sampling_flat
Definition: common.h:664
-
precision::hyper_x_tol
double hyper_x_tol
Definition: common.h:669
-
precision::recfast_delta_z_He_1
double recfast_delta_z_He_1
Definition: common.h:466
-
precision::tol_thermo_integration
double tol_thermo_integration
Definition: common.h:444
-
precision::neglect_CMB_sources_below_visibility
double neglect_CMB_sources_below_visibility
Definition: common.h:625
-
precision::halofit_min_k_max
double halofit_min_k_max
Definition: common.h:756
-
precision::recfast_x_He0_trigger_delta
double recfast_x_He0_trigger_delta
Definition: common.h:476
-
precision::primordial_inflation_attractor_precision_initial
double primordial_inflation_attractor_precision_initial
Definition: common.h:642
-
precision::evolver
enum evolver_type evolver
Definition: common.h:505
-
precision::tol_perturb_integration
double tol_perturb_integration
Definition: common.h:575
-
precision::recfast_AGauss1
double recfast_AGauss1
Definition: common.h:456
-
precision::recfast_x_H0_trigger_delta
double recfast_x_H0_trigger_delta
Definition: common.h:480
-
precision::q_logstep_spline
double q_logstep_spline
Definition: common.h:679
-
precision::delta_l_max
int delta_l_max
Definition: common.h:795
-
precision::thermo_rate_smoothing_radius
int thermo_rate_smoothing_radius
Definition: common.h:497
-
precision::transfer_neglect_delta_k_S_t0
double transfer_neglect_delta_k_S_t0
Definition: common.h:707
-
precision::gw_ini
double gw_ini
Definition: common.h:560
-
precision::radiation_streaming_approximation
int radiation_streaming_approximation
Definition: common.h:587
-
precision::tol_ncdm_initial_w
double tol_ncdm_initial_w
Definition: common.h:412
-
precision::halofit_min_k_nonlinear
double halofit_min_k_nonlinear
Definition: common.h:753
-
precision::primordial_inflation_bg_stepsize
double primordial_inflation_bg_stepsize
Definition: common.h:639
-
precision::recfast_x_H0_trigger
double recfast_x_H0_trigger
Definition: common.h:478
-
precision::hyper_nu_sampling_step
double hyper_nu_sampling_step
Definition: common.h:667
-
precision::recfast_delta_z_He_3
double recfast_delta_z_He_3
Definition: common.h:472
-
precision::l_switch_limber_for_nc_local_over_z
double l_switch_limber_for_nc_local_over_z
Definition: common.h:725
-
precision::recfast_Nz0
int recfast_Nz0
Definition: common.h:443
-
precision::hyper_x_min
double hyper_x_min
Definition: common.h:663
-
precision::l_max_dr
int l_max_dr
Definition: common.h:552
-
precision::recfast_H_frac
double recfast_H_frac
Definition: common.h:482
-
precision::transfer_neglect_delta_k_S_t1
double transfer_neglect_delta_k_S_t1
Definition: common.h:708
-
pk_def
pk_def
Definition: common.h:327
-
precision::recfast_z_initial
double recfast_z_initial
Definition: common.h:439
-
precision::primordial_inflation_phi_ini_maxit
int primordial_inflation_phi_ini_maxit
Definition: common.h:637
-
precision::tol_background_integration
double tol_background_integration
Definition: common.h:366
-
precision::transfer_neglect_delta_k_V_b
double transfer_neglect_delta_k_V_b
Definition: common.h:714
-
precision::hyper_sampling_curved_low_nu
double hyper_sampling_curved_low_nu
Definition: common.h:665
-
precision::recfast_Hswitch
int recfast_Hswitch
Definition: common.h:453
-
precision::recfast_z_He_1
double recfast_z_He_1
Definition: common.h:465
-
precision::ur_fluid_approximation
int ur_fluid_approximation
Definition: common.h:605
-
precision::l_max_ncdm
int l_max_ncdm
Definition: common.h:554
-
precision::k_per_decade_primordial
double k_per_decade_primordial
Definition: common.h:633
-
precision::recfast_delta_z_He_2
double recfast_delta_z_He_2
Definition: common.h:469
-
precision::k_per_decade_for_pk
double k_per_decade_for_pk
Definition: common.h:516
-
precision::perturb_integration_stepsize
double perturb_integration_stepsize
Definition: common.h:565
-
precision::start_sources_at_tau_c_over_tau_h
double start_sources_at_tau_c_over_tau_h
Definition: common.h:546
-
precision::primordial_inflation_attractor_precision_pivot
double primordial_inflation_attractor_precision_pivot
Definition: common.h:641
-
precision::primordial_inflation_aH_ini_target
double primordial_inflation_aH_ini_target
Definition: common.h:645
-
precision::k_per_decade_for_bao
double k_per_decade_for_bao
Definition: common.h:518
-
precision::tight_coupling_trigger_tau_c_over_tau_k
double tight_coupling_trigger_tau_c_over_tau_k
Definition: common.h:544
-
precision::tol_ncdm
double tol_ncdm
Definition: common.h:400
-
precision::l_logstep
double l_logstep
Definition: common.h:660
-
evolver_type
evolver_type
Definition: common.h:316
-
precision::transfer_neglect_delta_k_V_e
double transfer_neglect_delta_k_V_e
Definition: common.h:713
-
precision::reionization_start_factor
double reionization_start_factor
Definition: common.h:493
-
precision::recfast_fudge_H
double recfast_fudge_H
Definition: common.h:454
-
precision::primordial_inflation_ratio_max
double primordial_inflation_ratio_max
Definition: common.h:636
-
precision::tight_coupling_trigger_tau_c_over_tau_h
double tight_coupling_trigger_tau_c_over_tau_h
Definition: common.h:536
-
precision::primordial_inflation_end_dphi
double primordial_inflation_end_dphi
Definition: common.h:646
-
delta_tot_squared
Definition: common.h:329
-
precision::k_bao_center
double k_bao_center
Definition: common.h:520
-
precision::recfast_zGauss2
double recfast_zGauss2
Definition: common.h:459
-
precision::num_mu_minus_lmax
int num_mu_minus_lmax
Definition: common.h:794
-
precision::halofit_sigma_precision
double halofit_sigma_precision
Definition: common.h:770
-
precision::safe_phi_scf
double safe_phi_scf
Definition: common.h:417
-
precision::a_ini_over_a_today_default
double a_ini_over_a_today_default
Definition: common.h:355
-
precision::transfer_neglect_delta_k_T_e
double transfer_neglect_delta_k_T_e
Definition: common.h:716
-
precision::halofit_tol_sigma
double halofit_tol_sigma
Definition: common.h:778
-
precision::back_integration_stepsize
double back_integration_stepsize
Definition: common.h:361
-
precision::recfast_wGauss1
double recfast_wGauss1
Definition: common.h:460
-
precision::tol_tau_eq
double tol_tau_eq
Definition: common.h:423
-
precision::recfast_z_He_3
double recfast_z_He_3
Definition: common.h:471
-
precision::accurate_lensing
int accurate_lensing
Definition: common.h:793
-
precision::q_logstep_open
double q_logstep_open
Definition: common.h:684
-
precision::q_numstep_transition
double q_numstep_transition
Definition: common.h:702
-
precision::tight_coupling_approximation
int tight_coupling_approximation
Definition: common.h:548
-
precision::recfast_z_He_2
double recfast_z_He_2
Definition: common.h:468
-
precision::q_linstep
double q_linstep
Definition: common.h:674
-
precision::k_min_tau0
double k_min_tau0
Definition: common.h:507
-
precision::primordial_inflation_extra_efolds
double primordial_inflation_extra_efolds
Definition: common.h:650
-
precision::l_switch_limber
double l_switch_limber
Definition: common.h:722
-
precision::reionization_optical_depth_tol
double reionization_optical_depth_tol
Definition: common.h:492
-
precision::selection_tophat_edge
double selection_tophat_edge
Definition: common.h:743
-
precision::selection_sampling
double selection_sampling
Definition: common.h:734
-
precision::l_switch_limber_for_nc_los_over_z
double l_switch_limber_for_nc_los_over_z
Definition: common.h:728
-
precision::transfer_neglect_delta_k_V_t1
double transfer_neglect_delta_k_V_t1
Definition: common.h:711
-
precision::tol_ncdm_newtonian
double tol_ncdm_newtonian
Definition: common.h:386
-
precision::k_step_super_reduction
double k_step_super_reduction
Definition: common.h:514
-
precision::error_message
ErrorMsg error_message
Definition: common.h:811
-
precision::primordial_inflation_small_epsilon
double primordial_inflation_small_epsilon
Definition: common.h:648
-
precision::tol_initial_Omega_r
double tol_initial_Omega_r
Definition: common.h:373
-
precision::primordial_inflation_pt_stepsize
double primordial_inflation_pt_stepsize
Definition: common.h:638
-
precision::hyper_flat_approximation_nu
double hyper_flat_approximation_nu
Definition: common.h:670
-
precision::recfast_AGauss2
double recfast_AGauss2
Definition: common.h:457
-
precision::k_bao_width
double k_bao_width
Definition: common.h:522
-
precision::primordial_inflation_small_epsilon_tol
double primordial_inflation_small_epsilon_tol
Definition: common.h:649
-
precision::transfer_neglect_delta_k_S_e
double transfer_neglect_delta_k_S_e
Definition: common.h:710
-
file_format
file_format
Definition: common.h:337
-
precision::primordial_inflation_ratio_min
double primordial_inflation_ratio_min
Definition: common.h:635
-
precision::primordial_inflation_tol_curvature
double primordial_inflation_tol_curvature
Definition: common.h:644
-
precision::transfer_neglect_late_source
double transfer_neglect_late_source
Definition: common.h:719
-
precision::transfer_neglect_delta_k_T_t2
double transfer_neglect_delta_k_T_t2
Definition: common.h:715
-
precision::tol_M_ncdm
double tol_M_ncdm
Definition: common.h:379
-
precision::pk_eq_tol
double pk_eq_tol
Definition: common.h:785
-
precision::curvature_ini
double curvature_ini
Definition: common.h:558
-
delta_m_squared
Definition: common.h:328
-
precision::radiation_streaming_trigger_tau_over_tau_k
double radiation_streaming_trigger_tau_over_tau_k
Definition: common.h:595
-
precision::k_step_transition
double k_step_transition
Definition: common.h:513
-
precision::l_max_g_ten
int l_max_g_ten
Definition: common.h:555
-
precision::recfast_x_He0_trigger
double recfast_x_He0_trigger
Definition: common.h:474
-
precision::transfer_neglect_delta_k_T_b
double transfer_neglect_delta_k_T_b
Definition: common.h:717
-
delta_tot_from_poisson_squared
Definition: common.h:331
-
precision::tol_ncdm_bg
double tol_ncdm_bg
Definition: common.h:406
-
precision::ncdm_fluid_approximation
int ncdm_fluid_approximation
Definition: common.h:613
-
precision::recfast_fudge_He
double recfast_fudge_He
Definition: common.h:449
-
precision::ur_fluid_trigger_tau_over_tau_k
double ur_fluid_trigger_tau_over_tau_k
Definition: common.h:611
-
precision::l_max_ur
int l_max_ur
Definition: common.h:553
-
precision::smallest_allowed_variation
double smallest_allowed_variation
Definition: common.h:803
-
precision::k_step_super
double k_step_super
Definition: common.h:512
-
precision
Definition: common.h:345
-
precision::selection_sampling_bessel_los
double selection_sampling_bessel_los
Definition: common.h:740
-
precision::tol_ncdm_synchronous
double tol_ncdm_synchronous
Definition: common.h:393
-
precision::hyper_sampling_curved_high_nu
double hyper_sampling_curved_high_nu
Definition: common.h:666
-
precision::q_logstep_trapzd
double q_logstep_trapzd
Definition: common.h:691
-
precision::l_linstep
int l_linstep
Definition: common.h:658
-
precision::primordial_inflation_end_logstep
double primordial_inflation_end_logstep
Definition: common.h:647
-
precision::selection_sampling_bessel
double selection_sampling_bessel
Definition: common.h:737
-
precision::hyper_phi_min_abs
double hyper_phi_min_abs
Definition: common.h:668
-
precision::entropy_ini
double entropy_ini
Definition: common.h:559
-
precision::k_max_tau0_over_l_max
double k_max_tau0_over_l_max
Definition: common.h:509
-
precision::l_max_pol_g
int l_max_pol_g
Definition: common.h:551
-
precision::halofit_k_per_decade
double halofit_k_per_decade
Definition: common.h:765
-
precision::primordial_inflation_attractor_maxit
int primordial_inflation_attractor_maxit
Definition: common.h:643
-
precision::l_max_pol_g_ten
int l_max_pol_g_ten
Definition: common.h:556
-
precision::selection_cut_at_sigma
double selection_cut_at_sigma
Definition: common.h:731
-
precision::recfast_zGauss1
double recfast_zGauss1
Definition: common.h:458
-
precision::recfast_delta_fudge_H
double recfast_delta_fudge_H
Definition: common.h:455
-
precision::primordial_inflation_tol_integration
double primordial_inflation_tol_integration
Definition: common.h:640
-
precision::reionization_z_start_max
double reionization_z_start_max
Definition: common.h:490
-
precision::pk_eq_z_max
double pk_eq_z_max
Definition: common.h:783
-
precision::recfast_x_He0_trigger2
double recfast_x_He0_trigger2
Definition: common.h:475
-
precision::recfast_Heswitch
int recfast_Heswitch
Definition: common.h:448
-
-
- - - - diff --git a/doc/manual/html/common_8h_structprecision.js b/doc/manual/html/common_8h_structprecision.js deleted file mode 100644 index ce8dc5dd..00000000 --- a/doc/manual/html/common_8h_structprecision.js +++ /dev/null @@ -1,151 +0,0 @@ -var common_8h_structprecision = -[ - [ "a_ini_over_a_today_default", "common_8h.html#aad54dc307fbda7514b045d1bb75a174a", null ], - [ "back_integration_stepsize", "common_8h.html#ac356ae1b7e53af98eadb495a3b299a38", null ], - [ "tol_background_integration", "common_8h.html#a444a8511365ba815a2108479b5f79bfe", null ], - [ "tol_initial_Omega_r", "common_8h.html#a3b31e70cffa90b36fb9fe4513e34fd66", null ], - [ "tol_M_ncdm", "common_8h.html#a8a51f9bfe97ab2af8af02537a1d6f347", null ], - [ "tol_ncdm_newtonian", "common_8h.html#a440fc376b6c9dd2ee7d9a72d592791a0", null ], - [ "tol_ncdm_synchronous", "common_8h.html#ac4688bdc06229edbee1e15f3ca2b03fd", null ], - [ "tol_ncdm", "common_8h.html#a763719a8b90aae456d74f87c3a7137fb", null ], - [ "tol_ncdm_bg", "common_8h.html#a1f4cefd79a27e4922a4f06c46c0133cd", null ], - [ "tol_ncdm_initial_w", "common_8h.html#ad8ef5cb57e7ff804c242ccbdf40648ea", null ], - [ "safe_phi_scf", "common_8h.html#a466692f5b5e43b0497f10fcf026c2e7f", null ], - [ "tol_tau_eq", "common_8h.html#a7bafc83c0ddf73503579bec181559932", null ], - [ "recfast_z_initial", "common_8h.html#ad9c73e5c9019211142475ba97fe8fd6e", null ], - [ "recfast_Nz0", "common_8h.html#a1f9b23047c7f4c44b63cca8f0edbf019", null ], - [ "tol_thermo_integration", "common_8h.html#a1a512eddd17b9854e95c1a890df2703f", null ], - [ "recfast_Heswitch", "common_8h.html#a4aa431d63bf3196c102c90bcb596ca9e", null ], - [ "recfast_fudge_He", "common_8h.html#a6c07e19d381f030b6368f06f5680d265", null ], - [ "recfast_Hswitch", "common_8h.html#a497b4cbf0c90c3ed4e29a419bbe6498d", null ], - [ "recfast_fudge_H", "common_8h.html#ac2b62878fb26a5f2f32f7edba5ba4c65", null ], - [ "recfast_delta_fudge_H", "common_8h.html#abff0c7d09550d634ef93c4be63e44a7b", null ], - [ "recfast_AGauss1", "common_8h.html#a5e3afcd2c33645568a7552e37799e6ca", null ], - [ "recfast_AGauss2", "common_8h.html#a4a07b656500992c88780f6af63f98e66", null ], - [ "recfast_zGauss1", "common_8h.html#a7939de1608d831ca7497618b20163faf", null ], - [ "recfast_zGauss2", "common_8h.html#a8f2fd05f518e3d4a9800a5c865d4e0de", null ], - [ "recfast_wGauss1", "common_8h.html#a6a61bf75aa641053eab06a1247078d74", null ], - [ "recfast_wGauss2", "common_8h.html#a5a779464a1ef26f995dae24093c76bde", null ], - [ "recfast_z_He_1", "common_8h.html#a7e2634e9e694d7d6acc996dc610579a3", null ], - [ "recfast_delta_z_He_1", "common_8h.html#a6f83df79296e559842318b4894c55102", null ], - [ "recfast_z_He_2", "common_8h.html#ac92beb002d61a8afdd204b1432437094", null ], - [ "recfast_delta_z_He_2", "common_8h.html#a0b99b63be9c59286f4afae6ab8e963f0", null ], - [ "recfast_z_He_3", "common_8h.html#abd7782b17fbffd7603d11a3bd481d32c", null ], - [ "recfast_delta_z_He_3", "common_8h.html#a3426ca473df3dcd4cb7005a57ad58d64", null ], - [ "recfast_x_He0_trigger", "common_8h.html#a1bc8f906109a242a2a1ea5263b45616a", null ], - [ "recfast_x_He0_trigger2", "common_8h.html#abd3579dff4fcb28bc34d5049c66676e6", null ], - [ "recfast_x_He0_trigger_delta", "common_8h.html#af0d067e9438df41926ee456a1b8e74ff", null ], - [ "recfast_x_H0_trigger", "common_8h.html#a281ad75dd6a1546ad08ec87d5027642e", null ], - [ "recfast_x_H0_trigger2", "common_8h.html#a9ae32d778f02b1f7cc5c59d6f7dc3500", null ], - [ "recfast_x_H0_trigger_delta", "common_8h.html#a0bc3ac27b918dd2fcb0eea0ebcac7252", null ], - [ "recfast_H_frac", "common_8h.html#ac74ae582d36b809d49ae1e385951f51e", null ], - [ "reionization_z_start_max", "common_8h.html#a54f06b9c9e4358e85ae00a82d2be3073", null ], - [ "reionization_sampling", "common_8h.html#a328de572f865c8d0bda2f583e3617d59", null ], - [ "reionization_optical_depth_tol", "common_8h.html#a3763d41dc9c0bb87f04fc8d446034beb", null ], - [ "reionization_start_factor", "common_8h.html#a77bd046140bf5087fd14e9f5ae748317", null ], - [ "thermo_rate_smoothing_radius", "common_8h.html#a0759177e93ea433d82589bfe04df4e38", null ], - [ "evolver", "common_8h.html#abf73fec0ba7a2b9bfc2b31f0ad69637b", null ], - [ "k_min_tau0", "common_8h.html#aeac5c1c43202273395e87a94224ce0a9", null ], - [ "k_max_tau0_over_l_max", "common_8h.html#a97d5f791e87f30f894a5ba0f0a8eed5a", null ], - [ "k_step_sub", "common_8h.html#a07ba1a203e7ea715dfe7ae2799ae18b7", null ], - [ "k_step_super", "common_8h.html#a6f18fea5cd97ab1ee45dea423b2ce162", null ], - [ "k_step_transition", "common_8h.html#a5ee3dad46e6bca34b6ba05aa2f9f68dc", null ], - [ "k_step_super_reduction", "common_8h.html#acd10d8e37647e08051e527ba608a45c5", null ], - [ "k_per_decade_for_pk", "common_8h.html#a44385574a37fa0a1ffd638c4e8c78c6d", null ], - [ "k_per_decade_for_bao", "common_8h.html#aacd801b9cb8b7df946ffa229b9645723", null ], - [ "k_bao_center", "common_8h.html#a4e71de45a9b087c4294be70904594e85", null ], - [ "k_bao_width", "common_8h.html#a4c8a6260f43f1e8c632b7718b0e82b14", null ], - [ "start_small_k_at_tau_c_over_tau_h", "common_8h.html#a57d70caf5f7ed4c637c73b90527a3865", null ], - [ "start_large_k_at_tau_h_over_tau_k", "common_8h.html#ae46ec4a2a7c9e25081e9a601fe7a218d", null ], - [ "tight_coupling_trigger_tau_c_over_tau_h", "common_8h.html#aacaf9891d53114a8a10007941798e310", null ], - [ "tight_coupling_trigger_tau_c_over_tau_k", "common_8h.html#a983753708e2dc77c482bb7364d423ac2", null ], - [ "start_sources_at_tau_c_over_tau_h", "common_8h.html#abf52d5fb24720ce936c3108820a32361", null ], - [ "tight_coupling_approximation", "common_8h.html#a7e9a3d631f1368a546e92235075ed7a8", null ], - [ "l_max_g", "common_8h.html#abac166faeb6ad1dc7f2444cd0e00cb29", null ], - [ "l_max_pol_g", "common_8h.html#a60a346a5f7ac91b7f4e192b41ba1d279", null ], - [ "l_max_dr", "common_8h.html#a5393476f92ce80b7f46300e1f8d21a5d", null ], - [ "l_max_ur", "common_8h.html#a568cb71c90fb5ebb82851dabd9d6135a", null ], - [ "l_max_ncdm", "common_8h.html#a55cf9da97cd32bf397d1ffe0a1467ba0", null ], - [ "l_max_g_ten", "common_8h.html#a961483a52e5d54f72e5e906bc5dd8977", null ], - [ "l_max_pol_g_ten", "common_8h.html#ab3a6fd17b3bb2c34e1f427625e5044a4", null ], - [ "curvature_ini", "common_8h.html#a4442f124b8794be09b9c4101d3953ccc", null ], - [ "entropy_ini", "common_8h.html#a6ce401f13c63206c868683b31a92b6f2", null ], - [ "gw_ini", "common_8h.html#a041374f376ae5b6f9192b15c78b8bb73", null ], - [ "perturb_integration_stepsize", "common_8h.html#a5762210bd94b59011e8d3be114e83e4a", null ], - [ "perturb_sampling_stepsize", "common_8h.html#a4497a61ff0002e2356946594ec4d89ce", null ], - [ "tol_perturb_integration", "common_8h.html#ae9a16f763f0e6590d9fb6b907feda4a5", null ], - [ "tol_tau_approx", "common_8h.html#a3aee719ebdf06817d4ac62116f168afa", null ], - [ "radiation_streaming_approximation", "common_8h.html#a86e61a89341bae5d84249ced0d2670bf", null ], - [ "radiation_streaming_trigger_tau_over_tau_k", "common_8h.html#a70be98231733bf02a15e1a27fa15a7c4", null ], - [ "radiation_streaming_trigger_tau_c_over_tau", "common_8h.html#a836edca74feaf881aaece2c3ea9a7046", null ], - [ "ur_fluid_approximation", "common_8h.html#a9a6594663647ebb3ce010d8154562865", null ], - [ "ur_fluid_trigger_tau_over_tau_k", "common_8h.html#af91c68cd3475bd7b4739d0f9e0569d55", null ], - [ "ncdm_fluid_approximation", "common_8h.html#a6b62112800de6f262f64b557a9196597", null ], - [ "ncdm_fluid_trigger_tau_over_tau_k", "common_8h.html#a54c961c3fe76802a2aade252088c5c26", null ], - [ "neglect_CMB_sources_below_visibility", "common_8h.html#a2154eafeea247599857b87d549afacd3", null ], - [ "k_per_decade_primordial", "common_8h.html#afbf2e72248f3c25bee2f64c61ca981b5", null ], - [ "primordial_inflation_ratio_min", "common_8h.html#a2eb22cce2a952c3f6694144495763326", null ], - [ "primordial_inflation_ratio_max", "common_8h.html#afa22510b85c145c8ae2d4414aeb21fb2", null ], - [ "primordial_inflation_phi_ini_maxit", "common_8h.html#af5cf46019b39ccb708d864fa42ebbafb", null ], - [ "primordial_inflation_pt_stepsize", "common_8h.html#a3c15bd987d537aa0da62849613b0f258", null ], - [ "primordial_inflation_bg_stepsize", "common_8h.html#a690f47ac04ee5f5de4f8af0800b23be5", null ], - [ "primordial_inflation_tol_integration", "common_8h.html#a936e91a0394a27f46706550993de79d6", null ], - [ "primordial_inflation_attractor_precision_pivot", "common_8h.html#a1bd6a29b44675212577ae20619427d10", null ], - [ "primordial_inflation_attractor_precision_initial", "common_8h.html#ac36bfac5bf99d2ecacdfda31420060b1", null ], - [ "primordial_inflation_attractor_maxit", "common_8h.html#a4355a8eb656279f80ff63956be8d7e49", null ], - [ "primordial_inflation_tol_curvature", "common_8h.html#af05193504f126a2a1dbc34e4fd26219d", null ], - [ "primordial_inflation_aH_ini_target", "common_8h.html#ad86876b6f583fcd0ca9c7146f2d749e3", null ], - [ "primordial_inflation_end_dphi", "common_8h.html#af58ec8aa0a925457a63a0dc6fbd512af", null ], - [ "primordial_inflation_end_logstep", "common_8h.html#ac6690436e0d643a9b99773d591a76da4", null ], - [ "primordial_inflation_small_epsilon", "common_8h.html#a3d2de2d9d767cd04b858335a1c1224ee", null ], - [ "primordial_inflation_small_epsilon_tol", "common_8h.html#a3dc4f0226335fd96b007078fb267fe61", null ], - [ "primordial_inflation_extra_efolds", "common_8h.html#a64e544d03b3c76a0c7d31633f379bec5", null ], - [ "l_linstep", "common_8h.html#a64c68a1863d043f4a5df26286ffd98e5", null ], - [ "l_logstep", "common_8h.html#aa7e27015428cc6b8ad5435b7c26ff1cf", null ], - [ "hyper_x_min", "common_8h.html#afff52b2c2abfeb40dae00d962673863c", null ], - [ "hyper_sampling_flat", "common_8h.html#a341a7c9f5eae2a34e5b7cdce7b7f7cd4", null ], - [ "hyper_sampling_curved_low_nu", "common_8h.html#a1f1cefc01fe7577c13fa29ff72fd7f33", null ], - [ "hyper_sampling_curved_high_nu", "common_8h.html#a189424c601a1aa57d416c2521d97d28e", null ], - [ "hyper_nu_sampling_step", "common_8h.html#add96752739b131bd7f329e61ca1eb801", null ], - [ "hyper_phi_min_abs", "common_8h.html#a4cc34c4de7bf45fc14eb899b98194f87", null ], - [ "hyper_x_tol", "common_8h.html#ae5cb43b403222a7893e92f41289b8682", null ], - [ "hyper_flat_approximation_nu", "common_8h.html#a2c3a1bd14bb08d08f5dbbd9b098a5d7c", null ], - [ "q_linstep", "common_8h.html#a62e37243c95722e36c66d08618d69802", null ], - [ "q_logstep_spline", "common_8h.html#a1cc18c3ec1984a62ec83fde3466a3263", null ], - [ "q_logstep_open", "common_8h.html#aeffb3906406388c9778ca17f5baa45cd", null ], - [ "q_logstep_trapzd", "common_8h.html#a4e957a19ae397686d6dadf4e1fc6075a", null ], - [ "q_numstep_transition", "common_8h.html#a678c2efbad7f314da2279699c2d30ba0", null ], - [ "transfer_neglect_delta_k_S_t0", "common_8h.html#a7379458633652db2f1aa409df6fb9599", null ], - [ "transfer_neglect_delta_k_S_t1", "common_8h.html#a1e42196c8410b72c38f9548f07de34bc", null ], - [ "transfer_neglect_delta_k_S_t2", "common_8h.html#a7ce334dccea37f60b468b8506e91423c", null ], - [ "transfer_neglect_delta_k_S_e", "common_8h.html#a10368fbcea5cb3f7eb6f56f44126f789", null ], - [ "transfer_neglect_delta_k_V_t1", "common_8h.html#afefe0741183b00f7d651ba0bdd49d0f5", null ], - [ "transfer_neglect_delta_k_V_t2", "common_8h.html#af975d509e9ab98ec6d8944bb79ca39ce", null ], - [ "transfer_neglect_delta_k_V_e", "common_8h.html#a21a8d2719b9650bb5b32f71681c59784", null ], - [ "transfer_neglect_delta_k_V_b", "common_8h.html#aa487db7e90275100a39018c4cee5c20d", null ], - [ "transfer_neglect_delta_k_T_t2", "common_8h.html#a7f2b6302f3936213569e8e5615a95df7", null ], - [ "transfer_neglect_delta_k_T_e", "common_8h.html#a89229e22af124a00b2e0b31380f9a8db", null ], - [ "transfer_neglect_delta_k_T_b", "common_8h.html#af5d251d407b7631fe9c9b6878156adc6", null ], - [ "transfer_neglect_late_source", "common_8h.html#a01684a8901b4a6db68f61433b90c804d", null ], - [ "l_switch_limber", "common_8h.html#a17b12dee0a13c51a2c784ed9bcf988a2", null ], - [ "l_switch_limber_for_nc_local_over_z", "common_8h.html#acfd2414789a48c1ffea0aae0ebbe6e03", null ], - [ "l_switch_limber_for_nc_los_over_z", "common_8h.html#a7a4eb61c1a9b00c560deb9ed6a70fa72", null ], - [ "selection_cut_at_sigma", "common_8h.html#a5c6432808b685646fc59de7581ae0b97", null ], - [ "selection_sampling", "common_8h.html#a3268045bd1aa56ba4b67d3fc66a7ab17", null ], - [ "selection_sampling_bessel", "common_8h.html#aff7c31600012254167cd68433ca54948", null ], - [ "selection_sampling_bessel_los", "common_8h.html#ae060611b14823b714e6e450d18123a2b", null ], - [ "selection_tophat_edge", "common_8h.html#a159b8a7f01062a7b8456d57935441948", null ], - [ "halofit_min_k_nonlinear", "common_8h.html#acf85ffaeeefea5704d7df193d738e388", null ], - [ "halofit_min_k_max", "common_8h.html#a686f8c90cc81580c52fd01165e793a34", null ], - [ "halofit_k_per_decade", "common_8h.html#a81f4880893807d14a59ff4818ebe9a21", null ], - [ "halofit_sigma_precision", "common_8h.html#aa68f0ff8af918a5b1628af6699c53902", null ], - [ "halofit_tol_sigma", "common_8h.html#a1fe8140092306b49d86576e181166af6", null ], - [ "pk_eq_z_max", "common_8h.html#a115f47aedeac72cb8534f7f7ca0a6416", null ], - [ "pk_eq_tol", "common_8h.html#afa85ffd7c1df2a7cd56f961c3128f1d5", null ], - [ "accurate_lensing", "common_8h.html#a68db439b8c6c4f86e6ed4bddf622048a", null ], - [ "num_mu_minus_lmax", "common_8h.html#ac99c1152d8b70ca3408ba7aad3d10f9a", null ], - [ "delta_l_max", "common_8h.html#a9170fe3386b23313c66d6baaaa182ff7", null ], - [ "tol_gauss_legendre", "common_8h.html#a76852c9fb933263cdcd88fa7d1f6419a", null ], - [ "smallest_allowed_variation", "common_8h.html#a6ce36b0a85e6a760aa8ec232fb5289fb", null ], - [ "error_message", "common_8h.html#a1ad6fe4f58eff070f3879d20aa05dc5b", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/dei__rkck_8h_source.html b/doc/manual/html/dei__rkck_8h_source.html deleted file mode 100644 index 5b2daaca..00000000 --- a/doc/manual/html/dei__rkck_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: dei_rkck.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
dei_rkck.h
-
-
-
1 #ifndef __DEI__
2 #define __DEI__
3 
4 #include "common.h"
5 
6 struct generic_integrator_workspace
7 {
8 
9  int n;
10 
11  double * yscal;
12  double * y;
13  double * dydx;
14 
15  double * yerr;
16  double * ytempo;
17 
18  double * ak2;
19  double * ak3;
20  double * ak4;
21  double * ak5;
22  double * ak6;
23  double * ytemp;
24 
25  double stepmin;
26 
30  ErrorMsg error_message;
31 
32 };
33 
34 /**************************************************************/
35 
39 #ifdef __cplusplus
40 extern "C" {
41 #endif
42 
43  int initialize_generic_integrator(
44  int n_dim,
45  struct generic_integrator_workspace * pgi
46  );
47 
48  int cleanup_generic_integrator(struct generic_integrator_workspace * pgi);
49 
50  int generic_integrator(int (*derivs)(double x,
51  double y[],
52  double yprime[],
53  void * parameters_and_workspace,
54  ErrorMsg error_message),
55  double x1,
56  double x2,
57  double ystart[],
58  void * parameters_and_workspace_for_derivs,
59  double eps,
60  double hmin,
61  struct generic_integrator_workspace * pgi);
62 
63  int rkqs(double *x,
64  double htry,
65  double eps,
66  double *hdid,
67  double *hnext,
68  int (*derivs)(double, double [], double [], void *, ErrorMsg),
69  void * parameters_and_workspace_for_derivs,
70  struct generic_integrator_workspace * pgi);
71 
72  int rkck(double x,
73  double h,
74  int (*derivs)(double, double [], double [], void *, ErrorMsg),
75  void * parameters_and_workspace_for_derivs,
76  struct generic_integrator_workspace * pgi);
77 
78 #ifdef __cplusplus
79 }
80 #endif
81 
82 /**************************************************************/
83 
84 #define dsign(a,b) ( (b) > 0. ? (a) : (-(a)) )
85 
86 #define _MAXSTP_ 100000
87 #define _TINY_ 1.0e-30
88 #define _SAFETY_ 0.9
89 #define _PGROW_ -0.2
90 #define _PSHRNK_ -0.25
91 #define _ERRCON_ 1.89e-4
92 
93 #define _RKCK_a2_ 0.2
94 #define _RKCK_a3_ 0.3
95 #define _RKCK_a4_ 0.6
96 #define _RKCK_a5_ 1.0
97 #define _RKCK_a6_ 0.875
98 #define _RKCK_b21_ 0.2
99 #define _RKCK_b31_ 3.0/40.0
100 #define _RKCK_b32_ 9.0/40.0
101 #define _RKCK_b41_ 0.3
102 #define _RKCK_b42_ -0.9
103 #define _RKCK_b43_ 1.2
104 #define _RKCK_b51_ -11.0/54.0
105 #define _RKCK_b52_ 2.5
106 #define _RKCK_b53_ -70.0/27.0
107 #define _RKCK_b54_ 35.0/27.0
108 #define _RKCK_b61_ 1631.0/55296.0
109 #define _RKCK_b62_ 175.0/512.0
110 #define _RKCK_b63_ 575.0/13824.0
111 #define _RKCK_b64_ 44275.0/110592.0
112 #define _RKCK_b65_ 253.0/4096.0
113 #define _RKCK_c1_ 37.0/378.0
114 #define _RKCK_c3_ 250.0/621.0
115 #define _RKCK_c4_ 125.0/594.0
116 #define _RKCK_c6_ 512.0/1771.0
117 #define _RKCK_dc5_ -277.00/14336.0
118 #define _RKCK_dc1_ (37.0/378.0-2825.0/27648.)
119 #define _RKCK_dc3_ (250.0/621.0-18575.0/48384.0)
120 #define _RKCK_dc4_ (125.0/594.0-13525.0/55296.0)
121 #define _RKCK_dc6_ (512.0/1771.0-0.25)
122 
123 #endif
-
-
- - - - diff --git a/doc/manual/html/dir_000001_000000.html b/doc/manual/html/dir_000001_000000.html deleted file mode 100644 index 0384fe5e..00000000 --- a/doc/manual/html/dir_000001_000000.html +++ /dev/null @@ -1,94 +0,0 @@ - - - - - - - -CLASS MANUAL: source -> include Relation - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-

source → include Relation

File in sourceIncludes file in include
background.cbackground.h
input.cinput.h
input_new.cinput.h
lensing.clensing.h
nonlinear.cnonlinear.h
nonlinear_conflict-20170920-132821.cnonlinear.h
nonlinear_conflict-20170920-141832.cnonlinear.h
nonlinear_exp.cnonlinear.h
nonlinear_test.cnonlinear.h
output.coutput.h
perturbations.cperturbations.h
perturbations_conflict-20170310-145052.cperturbations.h
primordial.cprimordial.h
spectra.cspectra.h
thermodynamics.cthermodynamics.h
thermodynamics_conflict-20180618-114821.cthermodynamics.h
transfer.ctransfer.h
transfer_conflict-20170310-120609.ctransfer.h
transfer_work_for_maria.ctransfer.h
-
- - - - diff --git a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9.html b/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9.html deleted file mode 100644 index 9cb4c39c..00000000 --- a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9.html +++ /dev/null @@ -1,104 +0,0 @@ - - - - - - - -CLASS MANUAL: main Directory Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
main Directory Reference
-
-
- - - - -

-Files

file  class.c
 
-
-
- - - - diff --git a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.map b/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.map deleted file mode 100644 index 90cd3de7..00000000 --- a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.md5 b/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.md5 deleted file mode 100644 index 80d2c4d4..00000000 --- a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.md5 +++ /dev/null @@ -1 +0,0 @@ -1d949188309e54a166719d85acc68150 \ No newline at end of file diff --git a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.png b/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.png deleted file mode 100644 index 606609b5..00000000 Binary files a/doc/manual/html/dir_5c982d53a68cdbcd421152b4020263a9_dep.png and /dev/null differ diff --git a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c.html b/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c.html deleted file mode 100644 index 4971df61..00000000 --- a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - -CLASS MANUAL: external_Pk Directory Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
external_Pk Directory Reference
-
-
-
-
- - - - diff --git a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.map b/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.map deleted file mode 100644 index db7efe9b..00000000 --- a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.md5 b/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.md5 deleted file mode 100644 index 818fa8c5..00000000 --- a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.md5 +++ /dev/null @@ -1 +0,0 @@ -be965b08dd2f08c3f03ae4df05b035e4 \ No newline at end of file diff --git a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.png b/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.png deleted file mode 100644 index 46b6c6a0..00000000 Binary files a/doc/manual/html/dir_97d01b1f9891ec902cbe01fed786cf8c_dep.png and /dev/null differ diff --git a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b.html b/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b.html deleted file mode 100644 index 2b797a2e..00000000 --- a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b.html +++ /dev/null @@ -1,134 +0,0 @@ - - - - - - - -CLASS MANUAL: source Directory Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
source Directory Reference
-
-
-
- + Directory dependency graph for source:
-
-
- - - - - - - - - - - - - - - - - - - - - - - -

-Files

file  background.c
 
file  input.c
 
file  lensing.c
 
file  nonlinear.c
 
file  output.c
 
file  perturbations.c
 
file  primordial.c
 
file  spectra.c
 
file  thermodynamics.c
 
file  transfer.c
 
-
-
- - - - diff --git a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.map b/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.map deleted file mode 100644 index a2a93912..00000000 --- a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.md5 b/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.md5 deleted file mode 100644 index 49941c6a..00000000 --- a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.md5 +++ /dev/null @@ -1 +0,0 @@ -def169fb21b100dfe371b3fbbc368cf9 \ No newline at end of file diff --git a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.png b/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.png deleted file mode 100644 index 2867bcde..00000000 Binary files a/doc/manual/html/dir_b2f33c71d4aa5e7af42a1ca61ff5af1b_dep.png and /dev/null differ diff --git a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23.html b/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23.html deleted file mode 100644 index 157742a3..00000000 --- a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23.html +++ /dev/null @@ -1,124 +0,0 @@ - - - - - - - -CLASS MANUAL: include Directory Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
include Directory Reference
-
-
- - - - - - - - - - - - - - - - - - - - - - - - -

-Files

file  background.h [code]
 
file  common.h [code]
 
file  input.h [code]
 
file  lensing.h [code]
 
file  nonlinear.h [code]
 
file  output.h [code]
 
file  perturbations.h [code]
 
file  primordial.h [code]
 
file  spectra.h [code]
 
file  thermodynamics.h [code]
 
file  transfer.h [code]
 
-
-
- - - - diff --git a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.map b/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.map deleted file mode 100644 index 88e63b62..00000000 --- a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.md5 b/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.md5 deleted file mode 100644 index 465daeca..00000000 --- a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.md5 +++ /dev/null @@ -1 +0,0 @@ -2bcd495df4f645331d5fa1a762fad147 \ No newline at end of file diff --git a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.png b/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.png deleted file mode 100644 index d301bdf7..00000000 Binary files a/doc/manual/html/dir_d44c64559bbebec7f509842c48db8b23_dep.png and /dev/null differ diff --git a/doc/manual/html/doc.png b/doc/manual/html/doc.png deleted file mode 100644 index 08386eab..00000000 Binary files a/doc/manual/html/doc.png and /dev/null differ diff --git a/doc/manual/html/doxygen.css b/doc/manual/html/doxygen.css deleted file mode 100644 index b4bc906a..00000000 --- a/doc/manual/html/doxygen.css +++ /dev/null @@ -1,1596 +0,0 @@ -/* The standard CSS for doxygen 1.8.13 */ - -body, table, div, p, dl { - font: 400 14px/22px Roboto,sans-serif; -} - -p.reference, p.definition { - font: 400 14px/22px Roboto,sans-serif; -} - -/* @group Heading Levels */ - -h1.groupheader { - font-size: 150%; -} - -.title { - font: 400 14px/28px Roboto,sans-serif; - font-size: 150%; - font-weight: bold; - margin: 10px 2px; -} - -h2.groupheader { - border-bottom: 1px solid #5F90F3; - color: #0C3FA4; - font-size: 150%; - font-weight: normal; - margin-top: 1.75em; - padding-top: 8px; - padding-bottom: 4px; - width: 100%; -} - -h3.groupheader { - font-size: 100%; -} - -h1, h2, h3, h4, h5, h6 { - -webkit-transition: text-shadow 0.5s linear; - -moz-transition: text-shadow 0.5s linear; - -ms-transition: text-shadow 0.5s linear; - -o-transition: text-shadow 0.5s linear; - transition: text-shadow 0.5s linear; - margin-right: 15px; -} - -h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow { - text-shadow: 0 0 15px cyan; -} - -dt { - font-weight: bold; -} - -div.multicol { - -moz-column-gap: 1em; - -webkit-column-gap: 1em; - -moz-column-count: 3; - -webkit-column-count: 3; -} - -p.startli, p.startdd { - margin-top: 2px; -} - -p.starttd { - margin-top: 0px; -} - -p.endli { - margin-bottom: 0px; -} - -p.enddd { - margin-bottom: 4px; -} - -p.endtd { - margin-bottom: 2px; -} - -/* @end */ - -caption { - font-weight: bold; -} - -span.legend { - font-size: 70%; - text-align: center; -} - -h3.version { - font-size: 90%; - text-align: center; -} - -div.qindex, div.navtab{ - background-color: #E5EDFD; - border: 1px solid #85AAF6; - text-align: center; -} - -div.qindex, div.navpath { - width: 100%; - line-height: 140%; -} - -div.navtab { - margin-right: 15px; -} - -/* @group Link Styling */ - -a { - color: #0D47BB; - font-weight: normal; - text-decoration: none; -} - -.contents a:visited { - color: #1053D9; -} - -a:hover { - text-decoration: underline; -} - -a.qindex { - font-weight: bold; -} - -a.qindexHL { - font-weight: bold; - background-color: #7BA4F5; - color: #ffffff; - border: 1px double #5E8FF3; -} - -.contents a.qindexHL:visited { - color: #ffffff; -} - -a.el { - font-weight: bold; -} - -a.elRef { -} - -a.code, a.code:visited, a.line, a.line:visited { - color: #4665A2; -} - -a.codeRef, a.codeRef:visited, a.lineRef, a.lineRef:visited { - color: #4665A2; -} - -/* @end */ - -dl.el { - margin-left: -1cm; -} - -pre.fragment { - border: 1px solid #C4CFE5; - background-color: #FBFCFD; - padding: 4px 6px; - margin: 4px 8px 4px 2px; - overflow: auto; - word-wrap: break-word; - font-size: 9pt; - line-height: 125%; - font-family: monospace, fixed; - font-size: 105%; -} - -div.fragment { - padding: 0px; - margin: 4px 8px 4px 2px; - background-color: #FAFBFE; - border: 1px solid #B1C9F9; -} - -div.line { - font-family: monospace, fixed; - font-size: 13px; - min-height: 13px; - line-height: 1.0; - text-wrap: unrestricted; - white-space: -moz-pre-wrap; /* Moz */ - white-space: -pre-wrap; /* Opera 4-6 */ - white-space: -o-pre-wrap; /* Opera 7 */ - white-space: pre-wrap; /* CSS3 */ - word-wrap: break-word; /* IE 5.5+ */ - text-indent: -53px; - padding-left: 53px; - padding-bottom: 0px; - margin: 0px; - -webkit-transition-property: background-color, box-shadow; - -webkit-transition-duration: 0.5s; - -moz-transition-property: background-color, box-shadow; - -moz-transition-duration: 0.5s; - -ms-transition-property: background-color, box-shadow; - -ms-transition-duration: 0.5s; - -o-transition-property: background-color, box-shadow; - -o-transition-duration: 0.5s; - transition-property: background-color, box-shadow; - transition-duration: 0.5s; -} - -div.line:after { - content:"\000A"; - white-space: pre; -} - -div.line.glow { - background-color: cyan; - box-shadow: 0 0 10px cyan; -} - - -span.lineno { - padding-right: 4px; - text-align: right; - border-right: 2px solid #0F0; - background-color: #E8E8E8; - white-space: pre; -} -span.lineno a { - background-color: #D8D8D8; -} - -span.lineno a:hover { - background-color: #C8C8C8; -} - -.lineno { - -webkit-touch-callout: none; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; -} - -div.ah, span.ah { - background-color: black; - font-weight: bold; - color: #ffffff; - margin-bottom: 3px; - margin-top: 3px; - padding: 0.2em; - border: solid thin #333; - border-radius: 0.5em; - -webkit-border-radius: .5em; - -moz-border-radius: .5em; - box-shadow: 2px 2px 3px #999; - -webkit-box-shadow: 2px 2px 3px #999; - -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px; - background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444)); - background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000 110%); -} - -div.classindex ul { - list-style: none; - padding-left: 0; -} - -div.classindex span.ai { - display: inline-block; -} - -div.groupHeader { - margin-left: 16px; - margin-top: 12px; - font-weight: bold; -} - -div.groupText { - margin-left: 16px; - font-style: italic; -} - -body { - background-color: white; - color: black; - margin: 0; -} - -div.contents { - margin-top: 10px; - margin-left: 12px; - margin-right: 8px; -} - -td.indexkey { - background-color: #E5EDFD; - font-weight: bold; - border: 1px solid #B1C9F9; - margin: 2px 0px 2px 0; - padding: 2px 10px; - white-space: nowrap; - vertical-align: top; -} - -td.indexvalue { - background-color: #E5EDFD; - border: 1px solid #B1C9F9; - padding: 2px 10px; - margin: 2px 0px; -} - -tr.memlist { - background-color: #E8EFFD; -} - -p.formulaDsp { - text-align: center; -} - -img.formulaDsp { - -} - -img.formulaInl { - vertical-align: middle; -} - -div.center { - text-align: center; - margin-top: 0px; - margin-bottom: 0px; - padding: 0px; -} - -div.center img { - border: 0px; -} - -address.footer { - text-align: right; - padding-right: 12px; -} - -img.footer { - border: 0px; - vertical-align: middle; -} - -/* @group Code Colorization */ - -span.keyword { - color: #008000 -} - -span.keywordtype { - color: #604020 -} - -span.keywordflow { - color: #e08000 -} - -span.comment { - color: #800000 -} - -span.preprocessor { - color: #806020 -} - -span.stringliteral { - color: #002080 -} - -span.charliteral { - color: #008080 -} - -span.vhdldigit { - color: #ff00ff -} - -span.vhdlchar { - color: #000000 -} - -span.vhdlkeyword { - color: #700070 -} - -span.vhdllogic { - color: #ff0000 -} - -blockquote { - background-color: #F4F7FE; - border-left: 2px solid #7BA4F5; - margin: 0 24px 0 4px; - padding: 0 12px 0 16px; -} - -/* @end */ - -/* -.search { - color: #003399; - font-weight: bold; -} - -form.search { - margin-bottom: 0px; - margin-top: 0px; -} - -input.search { - font-size: 75%; - color: #000080; - font-weight: normal; - background-color: #e8eef2; -} -*/ - -td.tiny { - font-size: 75%; -} - -.dirtab { - padding: 4px; - border-collapse: collapse; - border: 1px solid #85AAF6; -} - -th.dirtab { - background: #E5EDFD; - font-weight: bold; -} - -hr { - height: 0px; - border: none; - border-top: 1px solid #1057E4; -} - -hr.footer { - height: 1px; -} - -/* @group Member Descriptions */ - -table.memberdecls { - border-spacing: 0px; - padding: 0px; -} - -.memberdecls td, .fieldtable tr { - -webkit-transition-property: background-color, box-shadow; - -webkit-transition-duration: 0.5s; - -moz-transition-property: background-color, box-shadow; - -moz-transition-duration: 0.5s; - -ms-transition-property: background-color, box-shadow; - -ms-transition-duration: 0.5s; - -o-transition-property: background-color, box-shadow; - -o-transition-duration: 0.5s; - transition-property: background-color, box-shadow; - transition-duration: 0.5s; -} - -.memberdecls td.glow, .fieldtable tr.glow { - background-color: cyan; - box-shadow: 0 0 15px cyan; -} - -.mdescLeft, .mdescRight, -.memItemLeft, .memItemRight, -.memTemplItemLeft, .memTemplItemRight, .memTemplParams { - background-color: #F7F9FE; - border: none; - margin: 4px; - padding: 1px 0 0 8px; -} - -.mdescLeft, .mdescRight { - padding: 0px 8px 4px 8px; - color: #555; -} - -.memSeparator { - border-bottom: 1px solid #DEE4F0; - line-height: 1px; - margin: 0px; - padding: 0px; -} - -.memItemLeft, .memTemplItemLeft { - white-space: nowrap; -} - -.memItemRight { - width: 100%; -} - -.memTemplParams { - color: #1053D9; - white-space: nowrap; - font-size: 80%; -} - -/* @end */ - -/* @group Member Details */ - -/* Styles for detailed member documentation */ - -.memtitle { - padding: 8px; - border-top: 1px solid #8BAFF6; - border-left: 1px solid #8BAFF6; - border-right: 1px solid #8BAFF6; - border-top-right-radius: 4px; - border-top-left-radius: 4px; - margin-bottom: -1px; - background-image: url('nav_f.png'); - background-repeat: repeat-x; - background-color: #D9E4FC; - line-height: 1.25; - font-weight: 300; - float:left; -} - -.permalink -{ - font-size: 65%; - display: inline-block; - vertical-align: middle; -} - -.memtemplate { - font-size: 80%; - color: #1053D9; - font-weight: normal; - margin-left: 9px; -} - -.memnav { - background-color: #E5EDFD; - border: 1px solid #85AAF6; - text-align: center; - margin: 2px; - margin-right: 15px; - padding: 2px; -} - -.mempage { - width: 100%; -} - -.memitem { - padding: 0; - margin-bottom: 10px; - margin-right: 5px; - -webkit-transition: box-shadow 0.5s linear; - -moz-transition: box-shadow 0.5s linear; - -ms-transition: box-shadow 0.5s linear; - -o-transition: box-shadow 0.5s linear; - transition: box-shadow 0.5s linear; - display: table !important; - width: 100%; -} - -.memitem.glow { - box-shadow: 0 0 15px cyan; -} - -.memname { - font-weight: 400; - margin-left: 6px; -} - -.memname td { - vertical-align: bottom; -} - -.memproto, dl.reflist dt { - border-top: 1px solid #8BAFF6; - border-left: 1px solid #8BAFF6; - border-right: 1px solid #8BAFF6; - padding: 6px 0px 6px 0px; - color: #082B72; - font-weight: bold; - text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9); - background-color: #D4E1FB; - /* opera specific markup */ - box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); - border-top-right-radius: 4px; - /* firefox specific markup */ - -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px; - -moz-border-radius-topright: 4px; - /* webkit specific markup */ - -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); - -webkit-border-top-right-radius: 4px; - -} - -.overload { - font-family: "courier new",courier,monospace; - font-size: 65%; -} - -.memdoc, dl.reflist dd { - border-bottom: 1px solid #8BAFF6; - border-left: 1px solid #8BAFF6; - border-right: 1px solid #8BAFF6; - padding: 6px 10px 2px 10px; - background-color: #FAFBFE; - border-top-width: 0; - background-image:url('nav_g.png'); - background-repeat:repeat-x; - background-color: #FFFFFF; - /* opera specific markup */ - border-bottom-left-radius: 4px; - border-bottom-right-radius: 4px; - box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); - /* firefox specific markup */ - -moz-border-radius-bottomleft: 4px; - -moz-border-radius-bottomright: 4px; - -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px; - /* webkit specific markup */ - -webkit-border-bottom-left-radius: 4px; - -webkit-border-bottom-right-radius: 4px; - -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); -} - -dl.reflist dt { - padding: 5px; -} - -dl.reflist dd { - margin: 0px 0px 10px 0px; - padding: 5px; -} - -.paramkey { - text-align: right; -} - -.paramtype { - white-space: nowrap; -} - -.paramname { - color: #602020; - white-space: nowrap; -} -.paramname em { - font-style: normal; -} -.paramname code { - line-height: 14px; -} - -.params, .retval, .exception, .tparams { - margin-left: 0px; - padding-left: 0px; -} - -.params .paramname, .retval .paramname { - font-weight: bold; - vertical-align: top; -} - -.params .paramtype { - font-style: italic; - vertical-align: top; -} - -.params .paramdir { - font-family: "courier new",courier,monospace; - vertical-align: top; -} - -table.mlabels { - border-spacing: 0px; -} - -td.mlabels-left { - width: 100%; - padding: 0px; -} - -td.mlabels-right { - vertical-align: bottom; - padding: 0px; - white-space: nowrap; -} - -span.mlabels { - margin-left: 8px; -} - -span.mlabel { - background-color: #437DF1; - border-top:1px solid #1960EE; - border-left:1px solid #1960EE; - border-right:1px solid #B1C9F9; - border-bottom:1px solid #B1C9F9; - text-shadow: none; - color: white; - margin-right: 4px; - padding: 2px 3px; - border-radius: 3px; - font-size: 7pt; - white-space: nowrap; - vertical-align: middle; -} - - - -/* @end */ - -/* these are for tree view inside a (index) page */ - -div.directory { - margin: 10px 0px; - border-top: 1px solid #7BA4F5; - border-bottom: 1px solid #7BA4F5; - width: 100%; -} - -.directory table { - border-collapse:collapse; -} - -.directory td { - margin: 0px; - padding: 0px; - vertical-align: top; -} - -.directory td.entry { - white-space: nowrap; - padding-right: 6px; - padding-top: 3px; -} - -.directory td.entry a { - outline:none; -} - -.directory td.entry a img { - border: none; -} - -.directory td.desc { - width: 100%; - padding-left: 6px; - padding-right: 6px; - padding-top: 3px; - border-left: 1px solid rgba(0,0,0,0.05); -} - -.directory tr.even { - padding-left: 6px; - background-color: #F4F7FE; -} - -.directory img { - vertical-align: -30%; -} - -.directory .levels { - white-space: nowrap; - width: 100%; - text-align: right; - font-size: 9pt; -} - -.directory .levels span { - cursor: pointer; - padding-left: 2px; - padding-right: 2px; - color: #0D47BB; -} - -.arrow { - color: #7BA4F5; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; - cursor: pointer; - font-size: 80%; - display: inline-block; - width: 16px; - height: 22px; -} - -.icon { - font-family: Arial, Helvetica; - font-weight: bold; - font-size: 12px; - height: 14px; - width: 16px; - display: inline-block; - background-color: #437DF1; - color: white; - text-align: center; - border-radius: 4px; - margin-left: 2px; - margin-right: 2px; -} - -.icona { - width: 24px; - height: 22px; - display: inline-block; -} - -.iconfopen { - width: 24px; - height: 18px; - margin-bottom: 4px; - background-image:url('folderopen.png'); - background-position: 0px -4px; - background-repeat: repeat-y; - vertical-align:top; - display: inline-block; -} - -.iconfclosed { - width: 24px; - height: 18px; - margin-bottom: 4px; - background-image:url('folderclosed.png'); - background-position: 0px -4px; - background-repeat: repeat-y; - vertical-align:top; - display: inline-block; -} - -.icondoc { - width: 24px; - height: 18px; - margin-bottom: 4px; - background-image:url('doc.png'); - background-position: 0px -4px; - background-repeat: repeat-y; - vertical-align:top; - display: inline-block; -} - -table.directory { - font: 400 14px Roboto,sans-serif; -} - -/* @end */ - -div.dynheader { - margin-top: 8px; - -webkit-touch-callout: none; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; -} - -address { - font-style: normal; - color: #093283; -} - -table.doxtable caption { - caption-side: top; -} - -table.doxtable { - border-collapse:collapse; - margin-top: 4px; - margin-bottom: 4px; -} - -table.doxtable td, table.doxtable th { - border: 1px solid #0A358B; - padding: 3px 7px 2px; -} - -table.doxtable th { - background-color: #0C41AA; - color: #FFFFFF; - font-size: 110%; - padding-bottom: 4px; - padding-top: 5px; -} - -table.fieldtable { - /*width: 100%;*/ - margin-bottom: 10px; - border: 1px solid #8BAFF6; - border-spacing: 0px; - -moz-border-radius: 4px; - -webkit-border-radius: 4px; - border-radius: 4px; - -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px; - -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15); - box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15); -} - -.fieldtable td, .fieldtable th { - padding: 3px 7px 2px; -} - -.fieldtable td.fieldtype, .fieldtable td.fieldname { - white-space: nowrap; - border-right: 1px solid #8BAFF6; - border-bottom: 1px solid #8BAFF6; - vertical-align: top; -} - -.fieldtable td.fieldname { - padding-top: 3px; -} - -.fieldtable td.fielddoc { - border-bottom: 1px solid #8BAFF6; - /*width: 100%;*/ -} - -.fieldtable td.fielddoc p:first-child { - margin-top: 0px; -} - -.fieldtable td.fielddoc p:last-child { - margin-bottom: 2px; -} - -.fieldtable tr:last-child td { - border-bottom: none; -} - -.fieldtable th { - background-image:url('nav_f.png'); - background-repeat:repeat-x; - background-color: #D9E4FC; - font-size: 90%; - color: #082B72; - padding-bottom: 4px; - padding-top: 5px; - text-align:left; - font-weight: 400; - -moz-border-radius-topleft: 4px; - -moz-border-radius-topright: 4px; - -webkit-border-top-left-radius: 4px; - -webkit-border-top-right-radius: 4px; - border-top-left-radius: 4px; - border-top-right-radius: 4px; - border-bottom: 1px solid #8BAFF6; -} - - -.tabsearch { - top: 0px; - left: 10px; - height: 36px; - background-image: url('tab_b.png'); - z-index: 101; - overflow: hidden; - font-size: 13px; -} - -.navpath ul -{ - font-size: 11px; - background-image:url('tab_b.png'); - background-repeat:repeat-x; - background-position: 0 -5px; - height:30px; - line-height:30px; - color:#6293F3; - border:solid 1px #AEC7F9; - overflow:hidden; - margin:0px; - padding:0px; -} - -.navpath li -{ - list-style-type:none; - float:left; - padding-left:10px; - padding-right:15px; - background-image:url('bc_s.png'); - background-repeat:no-repeat; - background-position:right; - color:#0C3FA6; -} - -.navpath li.navelem a -{ - height:32px; - display:block; - text-decoration: none; - outline: none; - color: #092F7C; - font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif; - text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9); - text-decoration: none; -} - -.navpath li.navelem a:hover -{ - color:#3573F0; -} - -.navpath li.footer -{ - list-style-type:none; - float:right; - padding-left:10px; - padding-right:15px; - background-image:none; - background-repeat:no-repeat; - background-position:right; - color:#0C3FA6; - font-size: 8pt; -} - - -div.summary -{ - float: right; - font-size: 8pt; - padding-right: 5px; - width: 50%; - text-align: right; -} - -div.summary a -{ - white-space: nowrap; -} - -table.classindex -{ - margin: 10px; - white-space: nowrap; - margin-left: 3%; - margin-right: 3%; - width: 94%; - border: 0; - border-spacing: 0; - padding: 0; -} - -div.ingroups -{ - font-size: 8pt; - width: 50%; - text-align: left; -} - -div.ingroups a -{ - white-space: nowrap; -} - -div.header -{ - background-image:url('nav_h.png'); - background-repeat:repeat-x; - background-color: #F7F9FE; - margin: 0px; - border-bottom: 1px solid #B1C9F9; -} - -div.headertitle -{ - padding: 5px 5px 5px 10px; -} - -dl -{ - padding: 0 0 0 10px; -} - -/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */ -dl.section -{ - margin-left: 0px; - padding-left: 0px; -} - -dl.note -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #D0C000; -} - -dl.warning, dl.attention -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #FF0000; -} - -dl.pre, dl.post, dl.invariant -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #00D000; -} - -dl.deprecated -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #505050; -} - -dl.todo -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #00C0E0; -} - -dl.test -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #3030E0; -} - -dl.bug -{ - margin-left:-7px; - padding-left: 3px; - border-left:4px solid; - border-color: #C08050; -} - -dl.section dd { - margin-bottom: 6px; -} - - -#projectlogo -{ - text-align: center; - vertical-align: bottom; - border-collapse: separate; -} - -#projectlogo img -{ - border: 0px none; -} - -#projectalign -{ - vertical-align: middle; -} - -#projectname -{ - font: 300% Tahoma, Arial,sans-serif; - margin: 0px; - padding: 2px 0px; -} - -#projectbrief -{ - font: 120% Tahoma, Arial,sans-serif; - margin: 0px; - padding: 0px; -} - -#projectnumber -{ - font: 50% Tahoma, Arial,sans-serif; - margin: 0px; - padding: 0px; -} - -#titlearea -{ - padding: 0px; - margin: 0px; - width: 100%; - border-bottom: 1px solid #1960EE; -} - -.image -{ - text-align: center; -} - -.dotgraph -{ - text-align: center; -} - -.mscgraph -{ - text-align: center; -} - -.plantumlgraph -{ - text-align: center; -} - -.diagraph -{ - text-align: center; -} - -.caption -{ - font-weight: bold; -} - -div.zoom -{ - border: 1px solid #6B98F4; -} - -dl.citelist { - margin-bottom:50px; -} - -dl.citelist dt { - color:#0B3C9D; - float:left; - font-weight:bold; - margin-right:10px; - padding:5px; -} - -dl.citelist dd { - margin:2px 0; - padding:5px 0; -} - -div.toc { - padding: 14px 25px; - background-color: #F1F5FE; - border: 1px solid #CBDBFB; - border-radius: 7px 7px 7px 7px; - float: right; - height: auto; - margin: 0 8px 10px 10px; - width: 200px; -} - -div.toc li { - background: url("bdwn.png") no-repeat scroll 0 5px transparent; - font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif; - margin-top: 5px; - padding-left: 10px; - padding-top: 2px; -} - -div.toc h3 { - font: bold 12px/1.2 Arial,FreeSans,sans-serif; - color: #1053D9; - border-bottom: 0 none; - margin: 0; -} - -div.toc ul { - list-style: none outside none; - border: medium none; - padding: 0px; -} - -div.toc li.level1 { - margin-left: 0px; -} - -div.toc li.level2 { - margin-left: 15px; -} - -div.toc li.level3 { - margin-left: 30px; -} - -div.toc li.level4 { - margin-left: 45px; -} - -.inherit_header { - font-weight: bold; - color: gray; - cursor: pointer; - -webkit-touch-callout: none; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; -} - -.inherit_header td { - padding: 6px 0px 2px 5px; -} - -.inherit { - display: none; -} - -tr.heading h2 { - margin-top: 12px; - margin-bottom: 4px; -} - -/* tooltip related style info */ - -.ttc { - position: absolute; - display: none; -} - -#powerTip { - cursor: default; - white-space: nowrap; - background-color: white; - border: 1px solid gray; - border-radius: 4px 4px 4px 4px; - box-shadow: 1px 1px 7px gray; - display: none; - font-size: smaller; - max-width: 80%; - opacity: 0.9; - padding: 1ex 1em 1em; - position: absolute; - z-index: 2147483647; -} - -#powerTip div.ttdoc { - color: grey; - font-style: italic; -} - -#powerTip div.ttname a { - font-weight: bold; -} - -#powerTip div.ttname { - font-weight: bold; -} - -#powerTip div.ttdeci { - color: #006318; -} - -#powerTip div { - margin: 0px; - padding: 0px; - font: 12px/16px Roboto,sans-serif; -} - -#powerTip:before, #powerTip:after { - content: ""; - position: absolute; - margin: 0px; -} - -#powerTip.n:after, #powerTip.n:before, -#powerTip.s:after, #powerTip.s:before, -#powerTip.w:after, #powerTip.w:before, -#powerTip.e:after, #powerTip.e:before, -#powerTip.ne:after, #powerTip.ne:before, -#powerTip.se:after, #powerTip.se:before, -#powerTip.nw:after, #powerTip.nw:before, -#powerTip.sw:after, #powerTip.sw:before { - border: solid transparent; - content: " "; - height: 0; - width: 0; - position: absolute; -} - -#powerTip.n:after, #powerTip.s:after, -#powerTip.w:after, #powerTip.e:after, -#powerTip.nw:after, #powerTip.ne:after, -#powerTip.sw:after, #powerTip.se:after { - border-color: rgba(255, 255, 255, 0); -} - -#powerTip.n:before, #powerTip.s:before, -#powerTip.w:before, #powerTip.e:before, -#powerTip.nw:before, #powerTip.ne:before, -#powerTip.sw:before, #powerTip.se:before { - border-color: rgba(128, 128, 128, 0); -} - -#powerTip.n:after, #powerTip.n:before, -#powerTip.ne:after, #powerTip.ne:before, -#powerTip.nw:after, #powerTip.nw:before { - top: 100%; -} - -#powerTip.n:after, #powerTip.ne:after, #powerTip.nw:after { - border-top-color: #ffffff; - border-width: 10px; - margin: 0px -10px; -} -#powerTip.n:before { - border-top-color: #808080; - border-width: 11px; - margin: 0px -11px; -} -#powerTip.n:after, #powerTip.n:before { - left: 50%; -} - -#powerTip.nw:after, #powerTip.nw:before { - right: 14px; -} - -#powerTip.ne:after, #powerTip.ne:before { - left: 14px; -} - -#powerTip.s:after, #powerTip.s:before, -#powerTip.se:after, #powerTip.se:before, -#powerTip.sw:after, #powerTip.sw:before { - bottom: 100%; -} - -#powerTip.s:after, #powerTip.se:after, #powerTip.sw:after { - border-bottom-color: #ffffff; - border-width: 10px; - margin: 0px -10px; -} - -#powerTip.s:before, #powerTip.se:before, #powerTip.sw:before { - border-bottom-color: #808080; - border-width: 11px; - margin: 0px -11px; -} - -#powerTip.s:after, #powerTip.s:before { - left: 50%; -} - -#powerTip.sw:after, #powerTip.sw:before { - right: 14px; -} - -#powerTip.se:after, #powerTip.se:before { - left: 14px; -} - -#powerTip.e:after, #powerTip.e:before { - left: 100%; -} -#powerTip.e:after { - border-left-color: #ffffff; - border-width: 10px; - top: 50%; - margin-top: -10px; -} -#powerTip.e:before { - border-left-color: #808080; - border-width: 11px; - top: 50%; - margin-top: -11px; -} - -#powerTip.w:after, #powerTip.w:before { - right: 100%; -} -#powerTip.w:after { - border-right-color: #ffffff; - border-width: 10px; - top: 50%; - margin-top: -10px; -} -#powerTip.w:before { - border-right-color: #808080; - border-width: 11px; - top: 50%; - margin-top: -11px; -} - -@media print -{ - #top { display: none; } - #side-nav { display: none; } - #nav-path { display: none; } - body { overflow:visible; } - h1, h2, h3, h4, h5, h6 { page-break-after: avoid; } - .summary { display: none; } - .memitem { page-break-inside: avoid; } - #doc-content - { - margin-left:0 !important; - height:auto !important; - width:auto !important; - overflow:inherit; - display:inline; - } -} - -/* @group Markdown */ - -/* -table.markdownTable { - border-collapse:collapse; - margin-top: 4px; - margin-bottom: 4px; -} - -table.markdownTable td, table.markdownTable th { - border: 1px solid #0A358B; - padding: 3px 7px 2px; -} - -table.markdownTableHead tr { -} - -table.markdownTableBodyLeft td, table.markdownTable th { - border: 1px solid #0A358B; - padding: 3px 7px 2px; -} - -th.markdownTableHeadLeft th.markdownTableHeadRight th.markdownTableHeadCenter th.markdownTableHeadNone { - background-color: #0C41AA; - color: #FFFFFF; - font-size: 110%; - padding-bottom: 4px; - padding-top: 5px; -} - -th.markdownTableHeadLeft { - text-align: left -} - -th.markdownTableHeadRight { - text-align: right -} - -th.markdownTableHeadCenter { - text-align: center -} -*/ - -table.markdownTable { - border-collapse:collapse; - margin-top: 4px; - margin-bottom: 4px; -} - -table.markdownTable td, table.markdownTable th { - border: 1px solid #0A358B; - padding: 3px 7px 2px; -} - -table.markdownTable tr { -} - -th.markdownTableHeadLeft, th.markdownTableHeadRight, th.markdownTableHeadCenter, th.markdownTableHeadNone { - background-color: #374F7F; - color: #FFFFFF; - font-size: 110%; - padding-bottom: 4px; - padding-top: 5px; -} - -th.markdownTableHeadLeft, td.markdownTableBodyLeft { - text-align: left -} - -th.markdownTableHeadRight, td.markdownTableBodyRight { - text-align: right -} - -th.markdownTableHeadCenter, td.markdownTableBodyCenter { - text-align: center -} - - -/* @end */ diff --git a/doc/manual/html/doxygen.png b/doc/manual/html/doxygen.png deleted file mode 100644 index b3782c7e..00000000 Binary files a/doc/manual/html/doxygen.png and /dev/null differ diff --git a/doc/manual/html/dynsections.js b/doc/manual/html/dynsections.js deleted file mode 100644 index 85e18369..00000000 --- a/doc/manual/html/dynsections.js +++ /dev/null @@ -1,97 +0,0 @@ -function toggleVisibility(linkObj) -{ - var base = $(linkObj).attr('id'); - var summary = $('#'+base+'-summary'); - var content = $('#'+base+'-content'); - var trigger = $('#'+base+'-trigger'); - var src=$(trigger).attr('src'); - if (content.is(':visible')===true) { - content.hide(); - summary.show(); - $(linkObj).addClass('closed').removeClass('opened'); - $(trigger).attr('src',src.substring(0,src.length-8)+'closed.png'); - } else { - content.show(); - summary.hide(); - $(linkObj).removeClass('closed').addClass('opened'); - $(trigger).attr('src',src.substring(0,src.length-10)+'open.png'); - } - return false; -} - -function updateStripes() -{ - $('table.directory tr'). - removeClass('even').filter(':visible:even').addClass('even'); -} - -function toggleLevel(level) -{ - $('table.directory tr').each(function() { - var l = this.id.split('_').length-1; - var i = $('#img'+this.id.substring(3)); - var a = $('#arr'+this.id.substring(3)); - if (l - - - - - - -CLASS MANUAL: evolver_ndf15.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
evolver_ndf15.h
-
-
-
1 #ifndef __EVO__
2 #define __EVO__
3 #include "common.h"
4 // #include "perturbations.h"
5 #include "sparse.h"
6 #define TINY 1e-50
7 /**************************************************************/
8 
9 struct jacobian{
10 /*Stuff for normal method: */
11  double **dfdy;
12  double *jacvec; /*Stores experience gained from subsequent calls */
13  double **LU;
14  double *LUw;
15  int *luidx;
16  /*Sparse stuff:*/
17  int use_sparse;
18  int sparse_stuff_initialized;
19  int max_nonzero; /*Maximal number of non-zero entries to be considered sparse */
20  int repeated_pattern;
21  int trust_sparse; /* Number of times a pattern is repeated (actually included) before we trust it. */
22  int has_grouping;
23  int has_pattern;
24  int new_jacobian; /* True if sp_ludcmp has not been run on the current jacobian. */
25  int cnzmax;
26  int *col_group; /* Column grouping. Groups go from 0 to max_group*/
27  int *col_wi; /* Workarray for column grouping*/
28  int max_group; /*Number of columngroups -1 */
29  sp_mat *spJ; /* Stores the matrix we want to decompose */
30  double *xjac; /*Stores the values of the sparse jacobian. (Same pattern as spJ) */
31  sp_num *Numerical; /*Stores the LU decomposition.*/
32  int *Cp; /* Stores the column pointers of the spJ+spJ' sparsity pattern. */
33  int *Ci; /* Stores the row indices of the spJ+spJ' sparsity pattern. */
34 };
35 
36 struct numjac_workspace{
37  /* Allocate vectors and matrices: */
38  double *yscale;
39  double *del;
40  double * Difmax;
41  double * absFdelRm;
42  double * absFvalue;
43  double * absFvalueRm;
44  double * Fscale;
45  double * ffdel;
46  double * yydel;
47  double * tmp;
48 
49  double **ydel_Fdel;
50 
51  int * logj;
52  int * Rowmax;
53 };
54 
58 #ifdef __cplusplus
59 extern "C" {
60 #endif
61 
62  int initialize_jacobian(struct jacobian *jac, int neq, ErrorMsg error_message);
63  int uninitialize_jacobian(struct jacobian *jac);
64  int initialize_numjac_workspace(struct numjac_workspace * nj_ws,int neq, ErrorMsg error_message);
65  int uninitialize_numjac_workspace(struct numjac_workspace * nj_ws);
66  int calc_C(struct jacobian *jac);
67  int interp_from_dif(double tinterp,double tnew,double *ynew,double h,double **dif,int k, double *yinterp,
68  double *ypinterp, double *yppinterp, int* index, int neq, int output);
69  int new_linearisation(struct jacobian *jac,double hinvGak,int neq, ErrorMsg error_message);
70  int adjust_stepsize(double **dif, double abshdivabshlast, int neq,int k);
71  void eqvec(double *datavec,double *emptyvec, int n);
72  int lubksb(double **a, int n, int *indx, double b[]);
73  int ludcmp(double **a, int n, int *indx, double *d, double *vv);
74  int fzero_Newton(int (*func)(double *x,
75  int x_size,
76  void *param,
77  double *F,
78  ErrorMsg error_message),
79  double *x_inout,
80  double *dxdF,
81  int x_size,
82  double tolx,
83  double tolF,
84  void *param,
85  int *fevals,
86  ErrorMsg error_message);
87 
88  int numjac(int (*derivs)(double x,double * y,double * dy,void * parameters_and_workspace,ErrorMsg error_message),
89  double t, double *y, double *fval, struct jacobian *jac, struct numjac_workspace *nj_ws,
90  double thresh, int neq, int *nfe,
91  void * parameters_and_workspace_for_derivs, ErrorMsg error_message);
92 
93 
94 int evolver_ndf15(
95  int (*derivs)(double x,double * y,double * dy,
96  void * parameters_and_workspace, ErrorMsg error_message),
97  double x_ini,
98  double x_final,
99  double * y_inout,
100  int * used_in_output,
101  int neq,
102  void * parameters_and_workspace_for_derivs,
103  double rtol,
104  double minimum_variation,
105  int (*timescale_and_approximation)(double x,
106  void * parameters_and_workspace,
107  double * timescales,
108  ErrorMsg error_message),
109  double timestep_over_timescale,
110  double * t_vec,
111  int t_res,
112  int (*output)(double x,double y[],double dy[],int index_x,void * parameters_and_workspace,
113  ErrorMsg error_message),
114  int (*print_variables)(double x, double y[], double dy[], void *parameters_and_workspace,
115  ErrorMsg error_message),
116  ErrorMsg error_message);
117 
118 
119 #ifdef __cplusplus
120 }
121 #endif
122 
123 /**************************************************************/
124 
125 #endif
output
Definition: output.h:22
- -
-
- - - - diff --git a/doc/manual/html/evolver__rkck_8h_source.html b/doc/manual/html/evolver__rkck_8h_source.html deleted file mode 100644 index 1622918e..00000000 --- a/doc/manual/html/evolver__rkck_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: evolver_rkck.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
evolver_rkck.h
-
-
-
1 #ifndef __EVO__
2 #define __EVO__
3 
4 #include "dei_rkck.h"
5 
6 /**************************************************************/
7 
11 #ifdef __cplusplus
12 extern "C" {
13 #endif
14 
15  int evolver_rk(int (*derivs)(double x,
16  double * y,
17  double * dy,
18  void * parameters_and_workspace,
19  ErrorMsg error_message),
20  double x_ini,
21  double x_end,
22  double * y,
23  int * used_in_output,
24  int y_size,
25  void * parameters_and_workspace_for_derivs,
26  double tolerance,
27  double minimum_variation,
28  int (*evaluate_timescale)(double x,
29  void * parameters_and_workspace,
30  double * timescale,
31  ErrorMsg error_message),
32  double timestep_over_timescale,
33  double * x_sampling,
34  int x_size,
35  int (*output)(double x,
36  double y[],
37  double dy[],
38  int index_x,
39  void * parameters_and_workspace,
40  ErrorMsg error_message),
41  int (*print_variables)(double x,
42  double y[],
43  double dy[],
44  void * parameters_and_workspace,
45  ErrorMsg error_message),
46  ErrorMsg error_message);
47 
48 #ifdef __cplusplus
49 }
50 #endif
51 
52 /**************************************************************/
53 
54 #endif
output
Definition: output.h:22
-
-
- - - - diff --git a/doc/manual/html/files.html b/doc/manual/html/files.html deleted file mode 100644 index 30a1f57a..00000000 --- a/doc/manual/html/files.html +++ /dev/null @@ -1,140 +0,0 @@ - - - - - - - -CLASS MANUAL: File List - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
File List
-
-
-
Here is a list of all documented files with brief descriptions:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 arrays.h
 background.c
 background.h
 class.c
 class.h
 common.h
 dei_rkck.h
 evolver_ndf15.h
 evolver_rkck.h
 hermite3_interpolation_csource.h
 hermite4_interpolation_csource.h
 hermite6_interpolation_csource.h
 hyperspherical.h
 input.c
 input.h
 lensing.c
 lensing.h
 nonlinear.c
 nonlinear.h
 nonlinear_conflict-20170920-132422.h
 nonlinear_conflict-20170920-150212.h
 nonlinear_exp.h
 nonlinear_test.h
 output.c
 output.h
 parser.h
 perturbations.c
 perturbations.h
 primordial.c
 primordial.h
 quadrature.h
 sparse.h
 spectra.c
 spectra.h
 svnversion.h
 thermodynamics.c
 thermodynamics.h
 transfer.c
 transfer.h
-
-
-
- - - - diff --git a/doc/manual/html/files.js b/doc/manual/html/files.js deleted file mode 100644 index 8237535c..00000000 --- a/doc/manual/html/files.js +++ /dev/null @@ -1,188 +0,0 @@ -var files = -[ - [ "arrays.h", "arrays_8h_source.html", null ], - [ "background.c", "background_8c.html", "background_8c" ], - [ "background.h", "background_8h.html", "background_8h" ], - [ "class.c", "class_8c.html", null ], - [ "class.h", "class_8h_source.html", null ], - [ "common.h", "common_8h.html", "common_8h" ], - [ "dei_rkck.h", "dei__rkck_8h_source.html", null ], - [ "evolver_ndf15.h", "evolver__ndf15_8h_source.html", null ], - [ "evolver_rkck.h", "evolver__rkck_8h_source.html", null ], - [ "hermite3_interpolation_csource.h", "hermite3__interpolation__csource_8h_source.html", null ], - [ "hermite4_interpolation_csource.h", "hermite4__interpolation__csource_8h_source.html", null ], - [ "hermite6_interpolation_csource.h", "hermite6__interpolation__csource_8h_source.html", null ], - [ "hyperspherical.h", "hyperspherical_8h_source.html", null ], - [ "input.c", "input_8c.html", "input_8c" ], - [ "input.h", "input_8h.html", "input_8h" ], - [ "lensing.c", "lensing_8c.html", "lensing_8c" ], - [ "lensing.h", "lensing_8h.html", [ - [ "lensing", "lensing_8h.html#structlensing", [ - [ "has_lensed_cls", "lensing_8h.html#ae26244b4a356df2ac432dbbd2a1860f3", null ], - [ "has_tt", "lensing_8h.html#a0dc88f938ae752059a638ad83a351987", null ], - [ "has_ee", "lensing_8h.html#a6c9bdc11a537514889967c770da62454", null ], - [ "has_te", "lensing_8h.html#a07010b7121450b62d4d5831306524d55", null ], - [ "has_bb", "lensing_8h.html#a3376eecdeb0890aa641d75537eddb8ec", null ], - [ "has_pp", "lensing_8h.html#acc4fa5ed870629b5316a8db955633a58", null ], - [ "has_tp", "lensing_8h.html#ab36938c722105e517f0e7b54d188cd0b", null ], - [ "has_dd", "lensing_8h.html#a8272d8d201b4359ee991580d82c8f5d2", null ], - [ "has_td", "lensing_8h.html#a02347a6282806a07febdf60beeaf3867", null ], - [ "has_ll", "lensing_8h.html#afa2e2c2454a5709b4f138bb2a0918b69", null ], - [ "has_tl", "lensing_8h.html#a8fb9290e3e7fc434f1dd8280ff26b940", null ], - [ "index_lt_tt", "lensing_8h.html#a49ee95997f34edd81965f2a6a0832b29", null ], - [ "index_lt_ee", "lensing_8h.html#a9d18f475d810e3b2cc06565f4e6e8fcc", null ], - [ "index_lt_te", "lensing_8h.html#a3b53da5a740368c36e797026898a0885", null ], - [ "index_lt_bb", "lensing_8h.html#aad717db8e3fb90861386661b544566e2", null ], - [ "index_lt_pp", "lensing_8h.html#ad355d99091371c078d6410a2807cb046", null ], - [ "index_lt_tp", "lensing_8h.html#a8ab43d19ed6b15ae77dac5ad04d41648", null ], - [ "index_lt_dd", "lensing_8h.html#a23ae6d7191c915d65035ec33ad950ebe", null ], - [ "index_lt_td", "lensing_8h.html#a24b997d7f7d7b2d04a32d19b2aa2a52d", null ], - [ "index_lt_ll", "lensing_8h.html#a7cded4ce178f745f2186b9165d4f4c0d", null ], - [ "index_lt_tl", "lensing_8h.html#a9f165327a081698b2b0791eb600d398e", null ], - [ "lt_size", "lensing_8h.html#aa9ad0daf319c47e96f8830fedf682afd", null ], - [ "l_unlensed_max", "lensing_8h.html#adfe9236af20f4ee1c3836cbfcd7aae3b", null ], - [ "l_lensed_max", "lensing_8h.html#af0af1fc9b860d9077686bea4717c7113", null ], - [ "l_size", "lensing_8h.html#a1f1c98d553499b30adedbb623b69bfa1", null ], - [ "l_max_lt", "lensing_8h.html#a92589138597145c2e311e3ecb18d7580", null ], - [ "l", "lensing_8h.html#a515aa9ec5555b0f9ab5b43b0bf4b65aa", null ], - [ "cl_lens", "lensing_8h.html#acc56a1d7a46570f79ba64abc1a6f8d63", null ], - [ "ddcl_lens", "lensing_8h.html#a9f78b598f39844238cb8b1c1fab969db", null ], - [ "lensing_verbose", "lensing_8h.html#a719645bb169b370108150f591a4d93e5", null ], - [ "error_message", "lensing_8h.html#a49b1b8ff165b21d6a2a34287a7f241d8", null ] - ] ] - ] ], - [ "nonlinear.c", "nonlinear_8c.html", "nonlinear_8c" ], - [ "nonlinear.h", "nonlinear_8h.html", "nonlinear_8h" ], - [ "nonlinear_conflict-20170920-132422.h", "nonlinear__conflict-20170920-132422_8h_source.html", null ], - [ "nonlinear_conflict-20170920-150212.h", "nonlinear__conflict-20170920-150212_8h_source.html", null ], - [ "nonlinear_exp.h", "nonlinear__exp_8h_source.html", null ], - [ "nonlinear_test.h", "nonlinear__test_8h_source.html", null ], - [ "output.c", "output_8c.html", "output_8c" ], - [ "output.h", "output_8h.html", "output_8h" ], - [ "parser.h", "parser_8h_source.html", null ], - [ "perturbations.c", "perturbations_8c.html", "perturbations_8c" ], - [ "perturbations.h", "perturbations_8h.html", "perturbations_8h" ], - [ "primordial.c", "primordial_8c.html", "primordial_8c" ], - [ "primordial.h", "primordial_8h.html", "primordial_8h" ], - [ "quadrature.h", "quadrature_8h_source.html", null ], - [ "sparse.h", "sparse_8h_source.html", null ], - [ "spectra.c", "spectra_8c.html", "spectra_8c" ], - [ "spectra.h", "spectra_8h.html", [ - [ "spectra", "spectra_8h.html#structspectra", [ - [ "z_max_pk", "spectra_8h.html#a41d693f09f93f7d77ff9a441c9403f09", null ], - [ "non_diag", "spectra_8h.html#aa4ba8bb05804a9c367e7099a5aafac6f", null ], - [ "md_size", "spectra_8h.html#a7162896ffe54e04b025389a38f0b6e51", null ], - [ "index_md_scalars", "spectra_8h.html#a9e42c62fdd7493645498f58101be058b", null ], - [ "ic_size", "spectra_8h.html#a04fcaac0b981bae0578a589d7286a6a9", null ], - [ "ic_ic_size", "spectra_8h.html#a8e47432eaaa855acf8fa4b8c69839946", null ], - [ "is_non_zero", "spectra_8h.html#af016f91ebb5939fde93268ade735c4bb", null ], - [ "has_tt", "spectra_8h.html#a2a2bb15ccf3b757b45240163ab803c7c", null ], - [ "has_ee", "spectra_8h.html#a99c6dcf41a0eacbb4bf7d40b1f863c54", null ], - [ "has_te", "spectra_8h.html#ab904a91528ca41610646429d986a8801", null ], - [ "has_bb", "spectra_8h.html#a51a275b988dd0df83ba035baa81dfc25", null ], - [ "has_pp", "spectra_8h.html#a732653a2b76d2f306c002e54f763e787", null ], - [ "has_tp", "spectra_8h.html#a7edbc0f9007b4114cedb0db21dd77fee", null ], - [ "has_ep", "spectra_8h.html#a6f7d568e4cd0fe5af4eba76606990d21", null ], - [ "has_dd", "spectra_8h.html#afbc6c738740c33e18d3d303f5732f634", null ], - [ "has_td", "spectra_8h.html#af219b311ac4022c97f497bdfe892a5bb", null ], - [ "has_pd", "spectra_8h.html#a9b96d2d94c28fbfd619659bd694f16c2", null ], - [ "has_ll", "spectra_8h.html#abb71a55dda8d9af0d7ff16484511f748", null ], - [ "has_tl", "spectra_8h.html#a6de97e5e3d3949212fb99b6fb1b944f0", null ], - [ "has_dl", "spectra_8h.html#afe95d8f9c9ec3b8bc42d1cfcbc623617", null ], - [ "index_ct_tt", "spectra_8h.html#a4160542d7473d58a6bb0a170661d4b36", null ], - [ "index_ct_ee", "spectra_8h.html#aad1923de8e05ad8815149eb5e1c41722", null ], - [ "index_ct_te", "spectra_8h.html#a7ee0a2f4abb312842c2d4e41d41ed451", null ], - [ "index_ct_bb", "spectra_8h.html#a91f38cb182b179501e2883e887d8313c", null ], - [ "index_ct_pp", "spectra_8h.html#a2924e0891623e332b76561e1e206a6b4", null ], - [ "index_ct_tp", "spectra_8h.html#a762b191d61c440cbab702481db01c939", null ], - [ "index_ct_ep", "spectra_8h.html#a50dcb624d60d0cc2f3a9717331380067", null ], - [ "index_ct_dd", "spectra_8h.html#a751ded2cebb892fbfff4bc7047cd2ea2", null ], - [ "index_ct_td", "spectra_8h.html#a580bc800704dde768830741cecdb7c17", null ], - [ "index_ct_pd", "spectra_8h.html#ad4d6dd84ede70607ae84673a69fe06ef", null ], - [ "index_ct_ll", "spectra_8h.html#aa399283446043b9560df20f419e09555", null ], - [ "index_ct_tl", "spectra_8h.html#ad872e01a0e62577a346cd3ad10745bfb", null ], - [ "index_ct_dl", "spectra_8h.html#a75c775132532bded47ce1ca6bdd10638", null ], - [ "d_size", "spectra_8h.html#a85e7f6e1bc4fedf4b465f9253e39bc0e", null ], - [ "ct_size", "spectra_8h.html#aff6e3a254bd882214107e13a5b49aeec", null ], - [ "l_size", "spectra_8h.html#af914e728444df64b91bfd117a94d7b06", null ], - [ "l_size_max", "spectra_8h.html#abb17bea5d5b9ab86cc211e19d975790e", null ], - [ "l", "spectra_8h.html#abbeb989dda07d55b3122a402fc9a9d5a", null ], - [ "l_max_ct", "spectra_8h.html#a9604e37eb1b394c6fc7087b91c14411f", null ], - [ "l_max", "spectra_8h.html#a38d6d56c37aed30d482da7c195f92e3a", null ], - [ "l_max_tot", "spectra_8h.html#a58feb2fcd4d06d3801f0f452d00bf987", null ], - [ "cl", "spectra_8h.html#a69a6084de38d2cc86b9c2e25eb7cd1e9", null ], - [ "ddcl", "spectra_8h.html#a15869600b6b48f5b649294dab435f901", null ], - [ "alpha_II_2_20", "spectra_8h.html#a1f4f455ce01dbf67303d5b241d481486", null ], - [ "alpha_RI_2_20", "spectra_8h.html#ad5052944a7d98cf5c23ed39c89c441cd", null ], - [ "alpha_RR_2_20", "spectra_8h.html#aa467d70f560adcabbd0f589f40a242c8", null ], - [ "alpha_II_21_200", "spectra_8h.html#a39464a2bc81215af9b96b638c8bbdcdc", null ], - [ "alpha_RI_21_200", "spectra_8h.html#a8162e028bb6037b6a585c2822b7221b8", null ], - [ "alpha_RR_21_200", "spectra_8h.html#adfc8ae68109aa299e4141f0ab597d431", null ], - [ "alpha_II_201_2500", "spectra_8h.html#aa1ddedcb319bc95943715d815bf16f99", null ], - [ "alpha_RI_201_2500", "spectra_8h.html#a016a7253aa6c532a95b8cffec367694b", null ], - [ "alpha_RR_201_2500", "spectra_8h.html#ae415a068bcc1caa9820e9c214707fff2", null ], - [ "alpha_II_2_2500", "spectra_8h.html#aa4c9d3a59c59461531006a0860e67611", null ], - [ "alpha_RI_2_2500", "spectra_8h.html#afbf6ec0b5ac12efeaa2544b0726f24c1", null ], - [ "alpha_RR_2_2500", "spectra_8h.html#a82a56f7919678728f1a9b695deabc104", null ], - [ "alpha_kp", "spectra_8h.html#afabd0ffd8dcfeaf6291cf19ae90dabf7", null ], - [ "alpha_k1", "spectra_8h.html#abdf1df0f03ba826bf885214480cdb65f", null ], - [ "alpha_k2", "spectra_8h.html#a16521887ee890f6d502e30c2e98a363b", null ], - [ "ln_k_size", "spectra_8h.html#aba12c1edfe1407562fed0488f07d499e", null ], - [ "ln_k", "spectra_8h.html#a8d1366df83d9413ec408151c90643a9e", null ], - [ "ln_tau_size", "spectra_8h.html#a683b5edb0fc48b2c91bd0a2c963657f0", null ], - [ "ln_tau", "spectra_8h.html#a5f7d064aff5ca9c3aa2b99db6d3d8d64", null ], - [ "ln_pk", "spectra_8h.html#a658520d8cde6f2367dc6de37c6b5f069", null ], - [ "ddln_pk", "spectra_8h.html#a7ccfff6972618e81fac66595de4b8611", null ], - [ "sigma8", "spectra_8h.html#a6ee88df802d2cb48a003ade7adcb600a", null ], - [ "sigma8_cb", "spectra_8h.html#a061198a8d906bce9c36007567db6b30a", null ], - [ "ddln_pk_l", "spectra_8h.html#a371feb8b5ec10d495e05b81df054664d", null ], - [ "ln_tau_nl_size", "spectra_8h.html#aed0aa0a8c85c43cad6cf07664f664be8", null ], - [ "ln_tau_nl", "spectra_8h.html#aee71399f6b9835fbe3bb396634f69bee", null ], - [ "ln_pk_nl", "spectra_8h.html#a38c2aeac727751ecad8885c8df23586a", null ], - [ "ddln_pk_nl", "spectra_8h.html#a6783c1646f113d129dc37680bba3116a", null ], - [ "ln_pk_cb", "spectra_8h.html#a55da2c80f6c3948181df1b6c2065fc64", null ], - [ "ddln_pk_cb", "spectra_8h.html#a3eafe6f1a176487cb7ca3453e013fccc", null ], - [ "ln_pk_cb_l", "spectra_8h.html#a2efde47762e8fe37b3ac48ad3e81566b", null ], - [ "ddln_pk_cb_l", "spectra_8h.html#aad1321f83b0d65048029d28d13292403", null ], - [ "ln_pk_cb_nl", "spectra_8h.html#acf8c92999d79ae673698d04629b9cabe", null ], - [ "ddln_pk_cb_nl", "spectra_8h.html#a2e66e2a8471670ca82c66451aa5f474f", null ], - [ "index_tr_delta_g", "spectra_8h.html#ada527499c8c57e4f3f03ce677c215677", null ], - [ "index_tr_delta_b", "spectra_8h.html#a97577b7e46e9a9e03cdc063bc7dd3e3a", null ], - [ "index_tr_delta_cdm", "spectra_8h.html#a46514e00517bd409596a2c50617aed35", null ], - [ "index_tr_delta_dcdm", "spectra_8h.html#a613cb218a38f6bfb45b4532a4beefad9", null ], - [ "index_tr_delta_scf", "spectra_8h.html#a5de2fbacfddb3343acf34786da2383af", null ], - [ "index_tr_delta_fld", "spectra_8h.html#a7c8e3e44348d2bd690dbea7de30d0242", null ], - [ "index_tr_delta_ur", "spectra_8h.html#a381c450d391f1c494f68c5806135d0f4", null ], - [ "index_tr_delta_dr", "spectra_8h.html#ac51f80c850a0af1353d09d7eae5b156c", null ], - [ "index_tr_delta_ncdm1", "spectra_8h.html#ad1c8f5dcba56e8a7f5752a0dd1c49876", null ], - [ "index_tr_delta_tot", "spectra_8h.html#a0c534b60400e5ee5b12bd31b59557bfd", null ], - [ "index_tr_theta_g", "spectra_8h.html#a8e4c29b785dbc0c5c89fdc61fff647b2", null ], - [ "index_tr_theta_b", "spectra_8h.html#a28d055cef73a30afb742bb18dfcf3802", null ], - [ "index_tr_theta_cdm", "spectra_8h.html#ab10458250dcbda87fda2a439f5868b5e", null ], - [ "index_tr_theta_dcdm", "spectra_8h.html#ad8766ae4ec0027c881088b7aafa5c867", null ], - [ "index_tr_theta_scf", "spectra_8h.html#a6bf91ee144fcebf9e6f7c24f3275c072", null ], - [ "index_tr_theta_fld", "spectra_8h.html#ad1b97d92cbc190ccbf79f09e890b19e1", null ], - [ "index_tr_theta_ur", "spectra_8h.html#a68edc610171f4f21a45117efc0b4139a", null ], - [ "index_tr_theta_dr", "spectra_8h.html#a1226414958631d92602ba731b1838309", null ], - [ "index_tr_theta_ncdm1", "spectra_8h.html#aa608e9840f63f33ad426ccb61a988965", null ], - [ "index_tr_theta_tot", "spectra_8h.html#a1072e1cc5ec0bb055a144eb2db74984e", null ], - [ "index_tr_phi", "spectra_8h.html#a1783b7039f69ad5a28a394fc6a8ec949", null ], - [ "index_tr_psi", "spectra_8h.html#a46b43ca978e6dd81d25fbcd90cc0ad39", null ], - [ "index_tr_phi_prime", "spectra_8h.html#a841f5d8847a2734081565d1a05528cdc", null ], - [ "index_tr_h", "spectra_8h.html#a6081cde29dd45b2c48e36f24897a1562", null ], - [ "index_tr_h_prime", "spectra_8h.html#a14a2c54fa5966f8496bba128d22bba77", null ], - [ "index_tr_eta", "spectra_8h.html#ae6f46c9f310c2f0850bb8df1a9098a0f", null ], - [ "index_tr_eta_prime", "spectra_8h.html#ac5c7dce0fe26c8fc02b3470e5b1c1869", null ], - [ "tr_size", "spectra_8h.html#a3e50d934303e1c7ca8bd3b8aee98ba88", null ], - [ "matter_transfer", "spectra_8h.html#a196d78f8357b4db11abcac0cdf2f8bc8", null ], - [ "ddmatter_transfer", "spectra_8h.html#aeb346f3ee67d3cf0fd74353277e7a1b5", null ], - [ "spectra_verbose", "spectra_8h.html#a07770a4fe51e11746c3a9c94df6df939", null ], - [ "error_message", "spectra_8h.html#ad9a93e571d2c183e38474056234fc91b", null ] - ] ] - ] ], - [ "svnversion.h", "svnversion_8h_source.html", null ], - [ "thermodynamics.c", "thermodynamics_8c.html", "thermodynamics_8c" ], - [ "thermodynamics.h", "thermodynamics_8h.html", "thermodynamics_8h" ], - [ "transfer.c", "transfer_8c.html", "transfer_8c" ], - [ "transfer.h", "transfer_8h.html", "transfer_8h" ] -]; \ No newline at end of file diff --git a/doc/manual/html/folderclosed.png b/doc/manual/html/folderclosed.png deleted file mode 100644 index e64fb18a..00000000 Binary files a/doc/manual/html/folderclosed.png and /dev/null differ diff --git a/doc/manual/html/folderopen.png b/doc/manual/html/folderopen.png deleted file mode 100644 index da9c382a..00000000 Binary files a/doc/manual/html/folderopen.png and /dev/null differ diff --git a/doc/manual/html/form_0.png b/doc/manual/html/form_0.png deleted file mode 100644 index 449f0f92..00000000 Binary files a/doc/manual/html/form_0.png and /dev/null differ diff --git a/doc/manual/html/form_1.png b/doc/manual/html/form_1.png deleted file mode 100644 index 036cd478..00000000 Binary files a/doc/manual/html/form_1.png and /dev/null differ diff --git a/doc/manual/html/form_10.png b/doc/manual/html/form_10.png deleted file mode 100644 index b43f43b1..00000000 Binary files a/doc/manual/html/form_10.png and /dev/null differ diff --git a/doc/manual/html/form_100.png b/doc/manual/html/form_100.png deleted file mode 100644 index d5c2973c..00000000 Binary files a/doc/manual/html/form_100.png and /dev/null differ diff --git a/doc/manual/html/form_101.png b/doc/manual/html/form_101.png deleted file mode 100644 index 27efe3e6..00000000 Binary files a/doc/manual/html/form_101.png and /dev/null differ diff --git a/doc/manual/html/form_102.png b/doc/manual/html/form_102.png deleted file mode 100644 index b3a1cc87..00000000 Binary files a/doc/manual/html/form_102.png and /dev/null differ diff --git a/doc/manual/html/form_103.png b/doc/manual/html/form_103.png deleted file mode 100644 index 57572060..00000000 Binary files a/doc/manual/html/form_103.png and /dev/null differ diff --git a/doc/manual/html/form_104.png b/doc/manual/html/form_104.png deleted file mode 100644 index 27efe3e6..00000000 Binary files a/doc/manual/html/form_104.png and /dev/null differ diff --git a/doc/manual/html/form_105.png b/doc/manual/html/form_105.png deleted file mode 100644 index 69d3b17d..00000000 Binary files a/doc/manual/html/form_105.png and /dev/null differ diff --git a/doc/manual/html/form_106.png b/doc/manual/html/form_106.png deleted file mode 100644 index 0384f667..00000000 Binary files a/doc/manual/html/form_106.png and /dev/null differ diff --git a/doc/manual/html/form_107.png b/doc/manual/html/form_107.png deleted file mode 100644 index d0f1ddf7..00000000 Binary files a/doc/manual/html/form_107.png and /dev/null differ diff --git a/doc/manual/html/form_108.png b/doc/manual/html/form_108.png deleted file mode 100644 index 57572060..00000000 Binary files a/doc/manual/html/form_108.png and /dev/null differ diff --git a/doc/manual/html/form_109.png b/doc/manual/html/form_109.png deleted file mode 100644 index 6ce02944..00000000 Binary files a/doc/manual/html/form_109.png and /dev/null differ diff --git a/doc/manual/html/form_11.png b/doc/manual/html/form_11.png deleted file mode 100644 index 3ecfb782..00000000 Binary files a/doc/manual/html/form_11.png and /dev/null differ diff --git a/doc/manual/html/form_110.png b/doc/manual/html/form_110.png deleted file mode 100644 index 6cc4b02a..00000000 Binary files a/doc/manual/html/form_110.png and /dev/null differ diff --git a/doc/manual/html/form_111.png b/doc/manual/html/form_111.png deleted file mode 100644 index d8b51181..00000000 Binary files a/doc/manual/html/form_111.png and /dev/null differ diff --git a/doc/manual/html/form_112.png b/doc/manual/html/form_112.png deleted file mode 100644 index 7aacfeb0..00000000 Binary files a/doc/manual/html/form_112.png and /dev/null differ diff --git a/doc/manual/html/form_113.png b/doc/manual/html/form_113.png deleted file mode 100644 index cccaf9cc..00000000 Binary files a/doc/manual/html/form_113.png and /dev/null differ diff --git a/doc/manual/html/form_114.png b/doc/manual/html/form_114.png deleted file mode 100644 index 5625437e..00000000 Binary files a/doc/manual/html/form_114.png and /dev/null differ diff --git a/doc/manual/html/form_115.png b/doc/manual/html/form_115.png deleted file mode 100644 index 0a92f2c0..00000000 Binary files a/doc/manual/html/form_115.png and /dev/null differ diff --git a/doc/manual/html/form_116.png b/doc/manual/html/form_116.png deleted file mode 100644 index 9881fb6f..00000000 Binary files a/doc/manual/html/form_116.png and /dev/null differ diff --git a/doc/manual/html/form_117.png b/doc/manual/html/form_117.png deleted file mode 100644 index b1431fdb..00000000 Binary files a/doc/manual/html/form_117.png and /dev/null differ diff --git a/doc/manual/html/form_118.png b/doc/manual/html/form_118.png deleted file mode 100644 index 12148138..00000000 Binary files a/doc/manual/html/form_118.png and /dev/null differ diff --git a/doc/manual/html/form_119.png b/doc/manual/html/form_119.png deleted file mode 100644 index f0ac5255..00000000 Binary files a/doc/manual/html/form_119.png and /dev/null differ diff --git a/doc/manual/html/form_12.png b/doc/manual/html/form_12.png deleted file mode 100644 index 43252e87..00000000 Binary files a/doc/manual/html/form_12.png and /dev/null differ diff --git a/doc/manual/html/form_120.png b/doc/manual/html/form_120.png deleted file mode 100644 index d0222f33..00000000 Binary files a/doc/manual/html/form_120.png and /dev/null differ diff --git a/doc/manual/html/form_121.png b/doc/manual/html/form_121.png deleted file mode 100644 index 7e014133..00000000 Binary files a/doc/manual/html/form_121.png and /dev/null differ diff --git a/doc/manual/html/form_122.png b/doc/manual/html/form_122.png deleted file mode 100644 index b3da4d85..00000000 Binary files a/doc/manual/html/form_122.png and /dev/null differ diff --git a/doc/manual/html/form_123.png b/doc/manual/html/form_123.png deleted file mode 100644 index 0a92f2c0..00000000 Binary files a/doc/manual/html/form_123.png and /dev/null differ diff --git a/doc/manual/html/form_124.png b/doc/manual/html/form_124.png deleted file mode 100644 index 54967b05..00000000 Binary files a/doc/manual/html/form_124.png and /dev/null differ diff --git a/doc/manual/html/form_125.png b/doc/manual/html/form_125.png deleted file mode 100644 index 7aacfeb0..00000000 Binary files a/doc/manual/html/form_125.png and /dev/null differ diff --git a/doc/manual/html/form_126.png b/doc/manual/html/form_126.png deleted file mode 100644 index 8f34bc76..00000000 Binary files a/doc/manual/html/form_126.png and /dev/null differ diff --git a/doc/manual/html/form_127.png b/doc/manual/html/form_127.png deleted file mode 100644 index 3a05f540..00000000 Binary files a/doc/manual/html/form_127.png and /dev/null differ diff --git a/doc/manual/html/form_128.png b/doc/manual/html/form_128.png deleted file mode 100644 index 81d4a67e..00000000 Binary files a/doc/manual/html/form_128.png and /dev/null differ diff --git a/doc/manual/html/form_129.png b/doc/manual/html/form_129.png deleted file mode 100644 index 81d4a67e..00000000 Binary files a/doc/manual/html/form_129.png and /dev/null differ diff --git a/doc/manual/html/form_13.png b/doc/manual/html/form_13.png deleted file mode 100644 index d5671dfc..00000000 Binary files a/doc/manual/html/form_13.png and /dev/null differ diff --git a/doc/manual/html/form_130.png b/doc/manual/html/form_130.png deleted file mode 100644 index 7356f421..00000000 Binary files a/doc/manual/html/form_130.png and /dev/null differ diff --git a/doc/manual/html/form_131.png b/doc/manual/html/form_131.png deleted file mode 100644 index 44a71a4d..00000000 Binary files a/doc/manual/html/form_131.png and /dev/null differ diff --git a/doc/manual/html/form_132.png b/doc/manual/html/form_132.png deleted file mode 100644 index 6265c0a4..00000000 Binary files a/doc/manual/html/form_132.png and /dev/null differ diff --git a/doc/manual/html/form_133.png b/doc/manual/html/form_133.png deleted file mode 100644 index 89770221..00000000 Binary files a/doc/manual/html/form_133.png and /dev/null differ diff --git a/doc/manual/html/form_134.png b/doc/manual/html/form_134.png deleted file mode 100644 index 93a6cf3f..00000000 Binary files a/doc/manual/html/form_134.png and /dev/null differ diff --git a/doc/manual/html/form_135.png b/doc/manual/html/form_135.png deleted file mode 100644 index 2c93f971..00000000 Binary files a/doc/manual/html/form_135.png and /dev/null differ diff --git a/doc/manual/html/form_136.png b/doc/manual/html/form_136.png deleted file mode 100644 index 4b7b28ae..00000000 Binary files a/doc/manual/html/form_136.png and /dev/null differ diff --git a/doc/manual/html/form_137.png b/doc/manual/html/form_137.png deleted file mode 100644 index d24d0972..00000000 Binary files a/doc/manual/html/form_137.png and /dev/null differ diff --git a/doc/manual/html/form_138.png b/doc/manual/html/form_138.png deleted file mode 100644 index ea60d62c..00000000 Binary files a/doc/manual/html/form_138.png and /dev/null differ diff --git a/doc/manual/html/form_139.png b/doc/manual/html/form_139.png deleted file mode 100644 index b94316f0..00000000 Binary files a/doc/manual/html/form_139.png and /dev/null differ diff --git a/doc/manual/html/form_14.png b/doc/manual/html/form_14.png deleted file mode 100644 index 2b15ef65..00000000 Binary files a/doc/manual/html/form_14.png and /dev/null differ diff --git a/doc/manual/html/form_140.png b/doc/manual/html/form_140.png deleted file mode 100644 index a1271295..00000000 Binary files a/doc/manual/html/form_140.png and /dev/null differ diff --git a/doc/manual/html/form_141.png b/doc/manual/html/form_141.png deleted file mode 100644 index f6e095e8..00000000 Binary files a/doc/manual/html/form_141.png and /dev/null differ diff --git a/doc/manual/html/form_142.png b/doc/manual/html/form_142.png deleted file mode 100644 index c9e7810a..00000000 Binary files a/doc/manual/html/form_142.png and /dev/null differ diff --git a/doc/manual/html/form_143.png b/doc/manual/html/form_143.png deleted file mode 100644 index 59b8bf84..00000000 Binary files a/doc/manual/html/form_143.png and /dev/null differ diff --git a/doc/manual/html/form_144.png b/doc/manual/html/form_144.png deleted file mode 100644 index a9c3e4ec..00000000 Binary files a/doc/manual/html/form_144.png and /dev/null differ diff --git a/doc/manual/html/form_145.png b/doc/manual/html/form_145.png deleted file mode 100644 index 0d44e7b2..00000000 Binary files a/doc/manual/html/form_145.png and /dev/null differ diff --git a/doc/manual/html/form_146.png b/doc/manual/html/form_146.png deleted file mode 100644 index 51cb759f..00000000 Binary files a/doc/manual/html/form_146.png and /dev/null differ diff --git a/doc/manual/html/form_147.png b/doc/manual/html/form_147.png deleted file mode 100644 index 56eebc8a..00000000 Binary files a/doc/manual/html/form_147.png and /dev/null differ diff --git a/doc/manual/html/form_148.png b/doc/manual/html/form_148.png deleted file mode 100644 index 42a67bc4..00000000 Binary files a/doc/manual/html/form_148.png and /dev/null differ diff --git a/doc/manual/html/form_149.png b/doc/manual/html/form_149.png deleted file mode 100644 index 82f8e4dd..00000000 Binary files a/doc/manual/html/form_149.png and /dev/null differ diff --git a/doc/manual/html/form_15.png b/doc/manual/html/form_15.png deleted file mode 100644 index 551dbc0d..00000000 Binary files a/doc/manual/html/form_15.png and /dev/null differ diff --git a/doc/manual/html/form_150.png b/doc/manual/html/form_150.png deleted file mode 100644 index 5236a6fd..00000000 Binary files a/doc/manual/html/form_150.png and /dev/null differ diff --git a/doc/manual/html/form_151.png b/doc/manual/html/form_151.png deleted file mode 100644 index 4a625efc..00000000 Binary files a/doc/manual/html/form_151.png and /dev/null differ diff --git a/doc/manual/html/form_152.png b/doc/manual/html/form_152.png deleted file mode 100644 index 3494b017..00000000 Binary files a/doc/manual/html/form_152.png and /dev/null differ diff --git a/doc/manual/html/form_153.png b/doc/manual/html/form_153.png deleted file mode 100644 index c3610167..00000000 Binary files a/doc/manual/html/form_153.png and /dev/null differ diff --git a/doc/manual/html/form_154.png b/doc/manual/html/form_154.png deleted file mode 100644 index bc773c45..00000000 Binary files a/doc/manual/html/form_154.png and /dev/null differ diff --git a/doc/manual/html/form_155.png b/doc/manual/html/form_155.png deleted file mode 100644 index b7614a42..00000000 Binary files a/doc/manual/html/form_155.png and /dev/null differ diff --git a/doc/manual/html/form_156.png b/doc/manual/html/form_156.png deleted file mode 100644 index f7aea11f..00000000 Binary files a/doc/manual/html/form_156.png and /dev/null differ diff --git a/doc/manual/html/form_157.png b/doc/manual/html/form_157.png deleted file mode 100644 index 8e30b5aa..00000000 Binary files a/doc/manual/html/form_157.png and /dev/null differ diff --git a/doc/manual/html/form_158.png b/doc/manual/html/form_158.png deleted file mode 100644 index 2b15ef65..00000000 Binary files a/doc/manual/html/form_158.png and /dev/null differ diff --git a/doc/manual/html/form_159.png b/doc/manual/html/form_159.png deleted file mode 100644 index 541afc59..00000000 Binary files a/doc/manual/html/form_159.png and /dev/null differ diff --git a/doc/manual/html/form_16.png b/doc/manual/html/form_16.png deleted file mode 100644 index 5b19a09f..00000000 Binary files a/doc/manual/html/form_16.png and /dev/null differ diff --git a/doc/manual/html/form_160.png b/doc/manual/html/form_160.png deleted file mode 100644 index a91d7994..00000000 Binary files a/doc/manual/html/form_160.png and /dev/null differ diff --git a/doc/manual/html/form_161.png b/doc/manual/html/form_161.png deleted file mode 100644 index 40c1172b..00000000 Binary files a/doc/manual/html/form_161.png and /dev/null differ diff --git a/doc/manual/html/form_162.png b/doc/manual/html/form_162.png deleted file mode 100644 index 482fe37c..00000000 Binary files a/doc/manual/html/form_162.png and /dev/null differ diff --git a/doc/manual/html/form_163.png b/doc/manual/html/form_163.png deleted file mode 100644 index 51d4b894..00000000 Binary files a/doc/manual/html/form_163.png and /dev/null differ diff --git a/doc/manual/html/form_164.png b/doc/manual/html/form_164.png deleted file mode 100644 index 734a20a2..00000000 Binary files a/doc/manual/html/form_164.png and /dev/null differ diff --git a/doc/manual/html/form_165.png b/doc/manual/html/form_165.png deleted file mode 100644 index c1a509c3..00000000 Binary files a/doc/manual/html/form_165.png and /dev/null differ diff --git a/doc/manual/html/form_166.png b/doc/manual/html/form_166.png deleted file mode 100644 index 2f7e6a2b..00000000 Binary files a/doc/manual/html/form_166.png and /dev/null differ diff --git a/doc/manual/html/form_167.png b/doc/manual/html/form_167.png deleted file mode 100644 index 6ef4b89c..00000000 Binary files a/doc/manual/html/form_167.png and /dev/null differ diff --git a/doc/manual/html/form_168.png b/doc/manual/html/form_168.png deleted file mode 100644 index b864ae3b..00000000 Binary files a/doc/manual/html/form_168.png and /dev/null differ diff --git a/doc/manual/html/form_169.png b/doc/manual/html/form_169.png deleted file mode 100644 index 6e9fc696..00000000 Binary files a/doc/manual/html/form_169.png and /dev/null differ diff --git a/doc/manual/html/form_17.png b/doc/manual/html/form_17.png deleted file mode 100644 index b7cd3458..00000000 Binary files a/doc/manual/html/form_17.png and /dev/null differ diff --git a/doc/manual/html/form_170.png b/doc/manual/html/form_170.png deleted file mode 100644 index c1a509c3..00000000 Binary files a/doc/manual/html/form_170.png and /dev/null differ diff --git a/doc/manual/html/form_171.png b/doc/manual/html/form_171.png deleted file mode 100644 index 8285f312..00000000 Binary files a/doc/manual/html/form_171.png and /dev/null differ diff --git a/doc/manual/html/form_172.png b/doc/manual/html/form_172.png deleted file mode 100644 index 6450c1fb..00000000 Binary files a/doc/manual/html/form_172.png and /dev/null differ diff --git a/doc/manual/html/form_173.png b/doc/manual/html/form_173.png deleted file mode 100644 index 784456ca..00000000 Binary files a/doc/manual/html/form_173.png and /dev/null differ diff --git a/doc/manual/html/form_174.png b/doc/manual/html/form_174.png deleted file mode 100644 index 95f9255d..00000000 Binary files a/doc/manual/html/form_174.png and /dev/null differ diff --git a/doc/manual/html/form_175.png b/doc/manual/html/form_175.png deleted file mode 100644 index 8f51cce7..00000000 Binary files a/doc/manual/html/form_175.png and /dev/null differ diff --git a/doc/manual/html/form_176.png b/doc/manual/html/form_176.png deleted file mode 100644 index 35f91f85..00000000 Binary files a/doc/manual/html/form_176.png and /dev/null differ diff --git a/doc/manual/html/form_177.png b/doc/manual/html/form_177.png deleted file mode 100644 index 38099060..00000000 Binary files a/doc/manual/html/form_177.png and /dev/null differ diff --git a/doc/manual/html/form_178.png b/doc/manual/html/form_178.png deleted file mode 100644 index dcebae00..00000000 Binary files a/doc/manual/html/form_178.png and /dev/null differ diff --git a/doc/manual/html/form_179.png b/doc/manual/html/form_179.png deleted file mode 100644 index d94eb3a6..00000000 Binary files a/doc/manual/html/form_179.png and /dev/null differ diff --git a/doc/manual/html/form_18.png b/doc/manual/html/form_18.png deleted file mode 100644 index 3325e5fe..00000000 Binary files a/doc/manual/html/form_18.png and /dev/null differ diff --git a/doc/manual/html/form_180.png b/doc/manual/html/form_180.png deleted file mode 100644 index 2f90eb92..00000000 Binary files a/doc/manual/html/form_180.png and /dev/null differ diff --git a/doc/manual/html/form_181.png b/doc/manual/html/form_181.png deleted file mode 100644 index ee664993..00000000 Binary files a/doc/manual/html/form_181.png and /dev/null differ diff --git a/doc/manual/html/form_182.png b/doc/manual/html/form_182.png deleted file mode 100644 index 2adecd06..00000000 Binary files a/doc/manual/html/form_182.png and /dev/null differ diff --git a/doc/manual/html/form_183.png b/doc/manual/html/form_183.png deleted file mode 100644 index b7cd3458..00000000 Binary files a/doc/manual/html/form_183.png and /dev/null differ diff --git a/doc/manual/html/form_184.png b/doc/manual/html/form_184.png deleted file mode 100644 index 0fae93e9..00000000 Binary files a/doc/manual/html/form_184.png and /dev/null differ diff --git a/doc/manual/html/form_185.png b/doc/manual/html/form_185.png deleted file mode 100644 index b28ba3e7..00000000 Binary files a/doc/manual/html/form_185.png and /dev/null differ diff --git a/doc/manual/html/form_186.png b/doc/manual/html/form_186.png deleted file mode 100644 index d4285aa7..00000000 Binary files a/doc/manual/html/form_186.png and /dev/null differ diff --git a/doc/manual/html/form_187.png b/doc/manual/html/form_187.png deleted file mode 100644 index 63f508ab..00000000 Binary files a/doc/manual/html/form_187.png and /dev/null differ diff --git a/doc/manual/html/form_188.png b/doc/manual/html/form_188.png deleted file mode 100644 index 03815c88..00000000 Binary files a/doc/manual/html/form_188.png and /dev/null differ diff --git a/doc/manual/html/form_189.png b/doc/manual/html/form_189.png deleted file mode 100644 index c328dce0..00000000 Binary files a/doc/manual/html/form_189.png and /dev/null differ diff --git a/doc/manual/html/form_19.png b/doc/manual/html/form_19.png deleted file mode 100644 index 387719dd..00000000 Binary files a/doc/manual/html/form_19.png and /dev/null differ diff --git a/doc/manual/html/form_190.png b/doc/manual/html/form_190.png deleted file mode 100644 index 0277dc74..00000000 Binary files a/doc/manual/html/form_190.png and /dev/null differ diff --git a/doc/manual/html/form_191.png b/doc/manual/html/form_191.png deleted file mode 100644 index e9218187..00000000 Binary files a/doc/manual/html/form_191.png and /dev/null differ diff --git a/doc/manual/html/form_192.png b/doc/manual/html/form_192.png deleted file mode 100644 index 324cce32..00000000 Binary files a/doc/manual/html/form_192.png and /dev/null differ diff --git a/doc/manual/html/form_193.png b/doc/manual/html/form_193.png deleted file mode 100644 index b99edd55..00000000 Binary files a/doc/manual/html/form_193.png and /dev/null differ diff --git a/doc/manual/html/form_194.png b/doc/manual/html/form_194.png deleted file mode 100644 index 7bad3ce9..00000000 Binary files a/doc/manual/html/form_194.png and /dev/null differ diff --git a/doc/manual/html/form_195.png b/doc/manual/html/form_195.png deleted file mode 100644 index 265a1eef..00000000 Binary files a/doc/manual/html/form_195.png and /dev/null differ diff --git a/doc/manual/html/form_196.png b/doc/manual/html/form_196.png deleted file mode 100644 index 184124b7..00000000 Binary files a/doc/manual/html/form_196.png and /dev/null differ diff --git a/doc/manual/html/form_197.png b/doc/manual/html/form_197.png deleted file mode 100644 index ba7edb0d..00000000 Binary files a/doc/manual/html/form_197.png and /dev/null differ diff --git a/doc/manual/html/form_198.png b/doc/manual/html/form_198.png deleted file mode 100644 index f1e6d63c..00000000 Binary files a/doc/manual/html/form_198.png and /dev/null differ diff --git a/doc/manual/html/form_199.png b/doc/manual/html/form_199.png deleted file mode 100644 index 5f849b0b..00000000 Binary files a/doc/manual/html/form_199.png and /dev/null differ diff --git a/doc/manual/html/form_2.png b/doc/manual/html/form_2.png deleted file mode 100644 index 1a628dae..00000000 Binary files a/doc/manual/html/form_2.png and /dev/null differ diff --git a/doc/manual/html/form_20.png b/doc/manual/html/form_20.png deleted file mode 100644 index 82c091c1..00000000 Binary files a/doc/manual/html/form_20.png and /dev/null differ diff --git a/doc/manual/html/form_200.png b/doc/manual/html/form_200.png deleted file mode 100644 index b1cb93fb..00000000 Binary files a/doc/manual/html/form_200.png and /dev/null differ diff --git a/doc/manual/html/form_201.png b/doc/manual/html/form_201.png deleted file mode 100644 index 533e5365..00000000 Binary files a/doc/manual/html/form_201.png and /dev/null differ diff --git a/doc/manual/html/form_202.png b/doc/manual/html/form_202.png deleted file mode 100644 index 1ce38abf..00000000 Binary files a/doc/manual/html/form_202.png and /dev/null differ diff --git a/doc/manual/html/form_203.png b/doc/manual/html/form_203.png deleted file mode 100644 index 54794606..00000000 Binary files a/doc/manual/html/form_203.png and /dev/null differ diff --git a/doc/manual/html/form_204.png b/doc/manual/html/form_204.png deleted file mode 100644 index aa2b43bc..00000000 Binary files a/doc/manual/html/form_204.png and /dev/null differ diff --git a/doc/manual/html/form_205.png b/doc/manual/html/form_205.png deleted file mode 100644 index e9817d95..00000000 Binary files a/doc/manual/html/form_205.png and /dev/null differ diff --git a/doc/manual/html/form_206.png b/doc/manual/html/form_206.png deleted file mode 100644 index 21589932..00000000 Binary files a/doc/manual/html/form_206.png and /dev/null differ diff --git a/doc/manual/html/form_207.png b/doc/manual/html/form_207.png deleted file mode 100644 index b1124b1f..00000000 Binary files a/doc/manual/html/form_207.png and /dev/null differ diff --git a/doc/manual/html/form_208.png b/doc/manual/html/form_208.png deleted file mode 100644 index 74b70e14..00000000 Binary files a/doc/manual/html/form_208.png and /dev/null differ diff --git a/doc/manual/html/form_209.png b/doc/manual/html/form_209.png deleted file mode 100644 index 0151cedb..00000000 Binary files a/doc/manual/html/form_209.png and /dev/null differ diff --git a/doc/manual/html/form_21.png b/doc/manual/html/form_21.png deleted file mode 100644 index 4498911a..00000000 Binary files a/doc/manual/html/form_21.png and /dev/null differ diff --git a/doc/manual/html/form_210.png b/doc/manual/html/form_210.png deleted file mode 100644 index c114bc55..00000000 Binary files a/doc/manual/html/form_210.png and /dev/null differ diff --git a/doc/manual/html/form_211.png b/doc/manual/html/form_211.png deleted file mode 100644 index 04155158..00000000 Binary files a/doc/manual/html/form_211.png and /dev/null differ diff --git a/doc/manual/html/form_212.png b/doc/manual/html/form_212.png deleted file mode 100644 index e7c39b4d..00000000 Binary files a/doc/manual/html/form_212.png and /dev/null differ diff --git a/doc/manual/html/form_213.png b/doc/manual/html/form_213.png deleted file mode 100644 index 7d397964..00000000 Binary files a/doc/manual/html/form_213.png and /dev/null differ diff --git a/doc/manual/html/form_214.png b/doc/manual/html/form_214.png deleted file mode 100644 index ad131fa6..00000000 Binary files a/doc/manual/html/form_214.png and /dev/null differ diff --git a/doc/manual/html/form_215.png b/doc/manual/html/form_215.png deleted file mode 100644 index 0cf8531b..00000000 Binary files a/doc/manual/html/form_215.png and /dev/null differ diff --git a/doc/manual/html/form_216.png b/doc/manual/html/form_216.png deleted file mode 100644 index cd5f471d..00000000 Binary files a/doc/manual/html/form_216.png and /dev/null differ diff --git a/doc/manual/html/form_217.png b/doc/manual/html/form_217.png deleted file mode 100644 index 4873bf85..00000000 Binary files a/doc/manual/html/form_217.png and /dev/null differ diff --git a/doc/manual/html/form_218.png b/doc/manual/html/form_218.png deleted file mode 100644 index 9f34b2d8..00000000 Binary files a/doc/manual/html/form_218.png and /dev/null differ diff --git a/doc/manual/html/form_219.png b/doc/manual/html/form_219.png deleted file mode 100644 index ffcd7f7f..00000000 Binary files a/doc/manual/html/form_219.png and /dev/null differ diff --git a/doc/manual/html/form_22.png b/doc/manual/html/form_22.png deleted file mode 100644 index c31aeb8f..00000000 Binary files a/doc/manual/html/form_22.png and /dev/null differ diff --git a/doc/manual/html/form_220.png b/doc/manual/html/form_220.png deleted file mode 100644 index b82d132d..00000000 Binary files a/doc/manual/html/form_220.png and /dev/null differ diff --git a/doc/manual/html/form_221.png b/doc/manual/html/form_221.png deleted file mode 100644 index 1523b910..00000000 Binary files a/doc/manual/html/form_221.png and /dev/null differ diff --git a/doc/manual/html/form_222.png b/doc/manual/html/form_222.png deleted file mode 100644 index b08fa27e..00000000 Binary files a/doc/manual/html/form_222.png and /dev/null differ diff --git a/doc/manual/html/form_223.png b/doc/manual/html/form_223.png deleted file mode 100644 index 036cc658..00000000 Binary files a/doc/manual/html/form_223.png and /dev/null differ diff --git a/doc/manual/html/form_224.png b/doc/manual/html/form_224.png deleted file mode 100644 index 72ebb969..00000000 Binary files a/doc/manual/html/form_224.png and /dev/null differ diff --git a/doc/manual/html/form_225.png b/doc/manual/html/form_225.png deleted file mode 100644 index 1fec3e18..00000000 Binary files a/doc/manual/html/form_225.png and /dev/null differ diff --git a/doc/manual/html/form_226.png b/doc/manual/html/form_226.png deleted file mode 100644 index 1368a2f0..00000000 Binary files a/doc/manual/html/form_226.png and /dev/null differ diff --git a/doc/manual/html/form_227.png b/doc/manual/html/form_227.png deleted file mode 100644 index d6f971c9..00000000 Binary files a/doc/manual/html/form_227.png and /dev/null differ diff --git a/doc/manual/html/form_228.png b/doc/manual/html/form_228.png deleted file mode 100644 index eb5632d8..00000000 Binary files a/doc/manual/html/form_228.png and /dev/null differ diff --git a/doc/manual/html/form_229.png b/doc/manual/html/form_229.png deleted file mode 100644 index b318d25d..00000000 Binary files a/doc/manual/html/form_229.png and /dev/null differ diff --git a/doc/manual/html/form_23.png b/doc/manual/html/form_23.png deleted file mode 100644 index a18dcf4e..00000000 Binary files a/doc/manual/html/form_23.png and /dev/null differ diff --git a/doc/manual/html/form_230.png b/doc/manual/html/form_230.png deleted file mode 100644 index 4b591141..00000000 Binary files a/doc/manual/html/form_230.png and /dev/null differ diff --git a/doc/manual/html/form_231.png b/doc/manual/html/form_231.png deleted file mode 100644 index c90417cd..00000000 Binary files a/doc/manual/html/form_231.png and /dev/null differ diff --git a/doc/manual/html/form_232.png b/doc/manual/html/form_232.png deleted file mode 100644 index dfaedf4f..00000000 Binary files a/doc/manual/html/form_232.png and /dev/null differ diff --git a/doc/manual/html/form_233.png b/doc/manual/html/form_233.png deleted file mode 100644 index 938d3c36..00000000 Binary files a/doc/manual/html/form_233.png and /dev/null differ diff --git a/doc/manual/html/form_234.png b/doc/manual/html/form_234.png deleted file mode 100644 index bffa5713..00000000 Binary files a/doc/manual/html/form_234.png and /dev/null differ diff --git a/doc/manual/html/form_235.png b/doc/manual/html/form_235.png deleted file mode 100644 index a69a6576..00000000 Binary files a/doc/manual/html/form_235.png and /dev/null differ diff --git a/doc/manual/html/form_236.png b/doc/manual/html/form_236.png deleted file mode 100644 index 71af210e..00000000 Binary files a/doc/manual/html/form_236.png and /dev/null differ diff --git a/doc/manual/html/form_237.png b/doc/manual/html/form_237.png deleted file mode 100644 index afd6576a..00000000 Binary files a/doc/manual/html/form_237.png and /dev/null differ diff --git a/doc/manual/html/form_238.png b/doc/manual/html/form_238.png deleted file mode 100644 index 8df9bd48..00000000 Binary files a/doc/manual/html/form_238.png and /dev/null differ diff --git a/doc/manual/html/form_239.png b/doc/manual/html/form_239.png deleted file mode 100644 index c63802ba..00000000 Binary files a/doc/manual/html/form_239.png and /dev/null differ diff --git a/doc/manual/html/form_24.png b/doc/manual/html/form_24.png deleted file mode 100644 index 0984a0fe..00000000 Binary files a/doc/manual/html/form_24.png and /dev/null differ diff --git a/doc/manual/html/form_240.png b/doc/manual/html/form_240.png deleted file mode 100644 index 02181d5b..00000000 Binary files a/doc/manual/html/form_240.png and /dev/null differ diff --git a/doc/manual/html/form_241.png b/doc/manual/html/form_241.png deleted file mode 100644 index 08a591ab..00000000 Binary files a/doc/manual/html/form_241.png and /dev/null differ diff --git a/doc/manual/html/form_242.png b/doc/manual/html/form_242.png deleted file mode 100644 index d1689ff8..00000000 Binary files a/doc/manual/html/form_242.png and /dev/null differ diff --git a/doc/manual/html/form_243.png b/doc/manual/html/form_243.png deleted file mode 100644 index 89deaa1d..00000000 Binary files a/doc/manual/html/form_243.png and /dev/null differ diff --git a/doc/manual/html/form_244.png b/doc/manual/html/form_244.png deleted file mode 100644 index ed800fec..00000000 Binary files a/doc/manual/html/form_244.png and /dev/null differ diff --git a/doc/manual/html/form_245.png b/doc/manual/html/form_245.png deleted file mode 100644 index e7533d51..00000000 Binary files a/doc/manual/html/form_245.png and /dev/null differ diff --git a/doc/manual/html/form_246.png b/doc/manual/html/form_246.png deleted file mode 100644 index 4134cdc1..00000000 Binary files a/doc/manual/html/form_246.png and /dev/null differ diff --git a/doc/manual/html/form_247.png b/doc/manual/html/form_247.png deleted file mode 100644 index 19b7754b..00000000 Binary files a/doc/manual/html/form_247.png and /dev/null differ diff --git a/doc/manual/html/form_248.png b/doc/manual/html/form_248.png deleted file mode 100644 index c521e37e..00000000 Binary files a/doc/manual/html/form_248.png and /dev/null differ diff --git a/doc/manual/html/form_249.png b/doc/manual/html/form_249.png deleted file mode 100644 index b76dbaa0..00000000 Binary files a/doc/manual/html/form_249.png and /dev/null differ diff --git a/doc/manual/html/form_25.png b/doc/manual/html/form_25.png deleted file mode 100644 index 35d2fe18..00000000 Binary files a/doc/manual/html/form_25.png and /dev/null differ diff --git a/doc/manual/html/form_250.png b/doc/manual/html/form_250.png deleted file mode 100644 index a8161995..00000000 Binary files a/doc/manual/html/form_250.png and /dev/null differ diff --git a/doc/manual/html/form_251.png b/doc/manual/html/form_251.png deleted file mode 100644 index aace6f27..00000000 Binary files a/doc/manual/html/form_251.png and /dev/null differ diff --git a/doc/manual/html/form_252.png b/doc/manual/html/form_252.png deleted file mode 100644 index ca88de19..00000000 Binary files a/doc/manual/html/form_252.png and /dev/null differ diff --git a/doc/manual/html/form_253.png b/doc/manual/html/form_253.png deleted file mode 100644 index 3494b017..00000000 Binary files a/doc/manual/html/form_253.png and /dev/null differ diff --git a/doc/manual/html/form_254.png b/doc/manual/html/form_254.png deleted file mode 100644 index 9371d468..00000000 Binary files a/doc/manual/html/form_254.png and /dev/null differ diff --git a/doc/manual/html/form_255.png b/doc/manual/html/form_255.png deleted file mode 100644 index 5e151aa3..00000000 Binary files a/doc/manual/html/form_255.png and /dev/null differ diff --git a/doc/manual/html/form_256.png b/doc/manual/html/form_256.png deleted file mode 100644 index 0a3e9e05..00000000 Binary files a/doc/manual/html/form_256.png and /dev/null differ diff --git a/doc/manual/html/form_257.png b/doc/manual/html/form_257.png deleted file mode 100644 index 58b7d968..00000000 Binary files a/doc/manual/html/form_257.png and /dev/null differ diff --git a/doc/manual/html/form_258.png b/doc/manual/html/form_258.png deleted file mode 100644 index 9371d468..00000000 Binary files a/doc/manual/html/form_258.png and /dev/null differ diff --git a/doc/manual/html/form_259.png b/doc/manual/html/form_259.png deleted file mode 100644 index b602b8d7..00000000 Binary files a/doc/manual/html/form_259.png and /dev/null differ diff --git a/doc/manual/html/form_26.png b/doc/manual/html/form_26.png deleted file mode 100644 index e7469fe8..00000000 Binary files a/doc/manual/html/form_26.png and /dev/null differ diff --git a/doc/manual/html/form_260.png b/doc/manual/html/form_260.png deleted file mode 100644 index a223cbbb..00000000 Binary files a/doc/manual/html/form_260.png and /dev/null differ diff --git a/doc/manual/html/form_261.png b/doc/manual/html/form_261.png deleted file mode 100644 index fa77e282..00000000 Binary files a/doc/manual/html/form_261.png and /dev/null differ diff --git a/doc/manual/html/form_262.png b/doc/manual/html/form_262.png deleted file mode 100644 index 47a84df7..00000000 Binary files a/doc/manual/html/form_262.png and /dev/null differ diff --git a/doc/manual/html/form_263.png b/doc/manual/html/form_263.png deleted file mode 100644 index 9ec6b39f..00000000 Binary files a/doc/manual/html/form_263.png and /dev/null differ diff --git a/doc/manual/html/form_264.png b/doc/manual/html/form_264.png deleted file mode 100644 index 5bf6d31f..00000000 Binary files a/doc/manual/html/form_264.png and /dev/null differ diff --git a/doc/manual/html/form_265.png b/doc/manual/html/form_265.png deleted file mode 100644 index b602b8d7..00000000 Binary files a/doc/manual/html/form_265.png and /dev/null differ diff --git a/doc/manual/html/form_266.png b/doc/manual/html/form_266.png deleted file mode 100644 index aace6f27..00000000 Binary files a/doc/manual/html/form_266.png and /dev/null differ diff --git a/doc/manual/html/form_267.png b/doc/manual/html/form_267.png deleted file mode 100644 index b0492d59..00000000 Binary files a/doc/manual/html/form_267.png and /dev/null differ diff --git a/doc/manual/html/form_268.png b/doc/manual/html/form_268.png deleted file mode 100644 index aace6f27..00000000 Binary files a/doc/manual/html/form_268.png and /dev/null differ diff --git a/doc/manual/html/form_269.png b/doc/manual/html/form_269.png deleted file mode 100644 index 24e1bf5f..00000000 Binary files a/doc/manual/html/form_269.png and /dev/null differ diff --git a/doc/manual/html/form_27.png b/doc/manual/html/form_27.png deleted file mode 100644 index cc90da97..00000000 Binary files a/doc/manual/html/form_27.png and /dev/null differ diff --git a/doc/manual/html/form_270.png b/doc/manual/html/form_270.png deleted file mode 100644 index 45264719..00000000 Binary files a/doc/manual/html/form_270.png and /dev/null differ diff --git a/doc/manual/html/form_271.png b/doc/manual/html/form_271.png deleted file mode 100644 index 0fae93e9..00000000 Binary files a/doc/manual/html/form_271.png and /dev/null differ diff --git a/doc/manual/html/form_272.png b/doc/manual/html/form_272.png deleted file mode 100644 index 0b1096ae..00000000 Binary files a/doc/manual/html/form_272.png and /dev/null differ diff --git a/doc/manual/html/form_273.png b/doc/manual/html/form_273.png deleted file mode 100644 index 99c25355..00000000 Binary files a/doc/manual/html/form_273.png and /dev/null differ diff --git a/doc/manual/html/form_274.png b/doc/manual/html/form_274.png deleted file mode 100644 index c6b08bb0..00000000 Binary files a/doc/manual/html/form_274.png and /dev/null differ diff --git a/doc/manual/html/form_275.png b/doc/manual/html/form_275.png deleted file mode 100644 index d09295f1..00000000 Binary files a/doc/manual/html/form_275.png and /dev/null differ diff --git a/doc/manual/html/form_276.png b/doc/manual/html/form_276.png deleted file mode 100644 index 47945e99..00000000 Binary files a/doc/manual/html/form_276.png and /dev/null differ diff --git a/doc/manual/html/form_277.png b/doc/manual/html/form_277.png deleted file mode 100644 index c6b08bb0..00000000 Binary files a/doc/manual/html/form_277.png and /dev/null differ diff --git a/doc/manual/html/form_278.png b/doc/manual/html/form_278.png deleted file mode 100644 index d09295f1..00000000 Binary files a/doc/manual/html/form_278.png and /dev/null differ diff --git a/doc/manual/html/form_279.png b/doc/manual/html/form_279.png deleted file mode 100644 index cd3ea319..00000000 Binary files a/doc/manual/html/form_279.png and /dev/null differ diff --git a/doc/manual/html/form_28.png b/doc/manual/html/form_28.png deleted file mode 100644 index bc69b59e..00000000 Binary files a/doc/manual/html/form_28.png and /dev/null differ diff --git a/doc/manual/html/form_280.png b/doc/manual/html/form_280.png deleted file mode 100644 index 0fae93e9..00000000 Binary files a/doc/manual/html/form_280.png and /dev/null differ diff --git a/doc/manual/html/form_281.png b/doc/manual/html/form_281.png deleted file mode 100644 index 49a813f0..00000000 Binary files a/doc/manual/html/form_281.png and /dev/null differ diff --git a/doc/manual/html/form_282.png b/doc/manual/html/form_282.png deleted file mode 100644 index 367633a5..00000000 Binary files a/doc/manual/html/form_282.png and /dev/null differ diff --git a/doc/manual/html/form_283.png b/doc/manual/html/form_283.png deleted file mode 100644 index 5646791a..00000000 Binary files a/doc/manual/html/form_283.png and /dev/null differ diff --git a/doc/manual/html/form_284.png b/doc/manual/html/form_284.png deleted file mode 100644 index b9b80d0d..00000000 Binary files a/doc/manual/html/form_284.png and /dev/null differ diff --git a/doc/manual/html/form_285.png b/doc/manual/html/form_285.png deleted file mode 100644 index 6cc4b02a..00000000 Binary files a/doc/manual/html/form_285.png and /dev/null differ diff --git a/doc/manual/html/form_286.png b/doc/manual/html/form_286.png deleted file mode 100644 index d7d085ac..00000000 Binary files a/doc/manual/html/form_286.png and /dev/null differ diff --git a/doc/manual/html/form_287.png b/doc/manual/html/form_287.png deleted file mode 100644 index 84e5726d..00000000 Binary files a/doc/manual/html/form_287.png and /dev/null differ diff --git a/doc/manual/html/form_288.png b/doc/manual/html/form_288.png deleted file mode 100644 index d81f2c55..00000000 Binary files a/doc/manual/html/form_288.png and /dev/null differ diff --git a/doc/manual/html/form_289.png b/doc/manual/html/form_289.png deleted file mode 100644 index d8127958..00000000 Binary files a/doc/manual/html/form_289.png and /dev/null differ diff --git a/doc/manual/html/form_29.png b/doc/manual/html/form_29.png deleted file mode 100644 index 04f9b97d..00000000 Binary files a/doc/manual/html/form_29.png and /dev/null differ diff --git a/doc/manual/html/form_290.png b/doc/manual/html/form_290.png deleted file mode 100644 index aeadd4a0..00000000 Binary files a/doc/manual/html/form_290.png and /dev/null differ diff --git a/doc/manual/html/form_291.png b/doc/manual/html/form_291.png deleted file mode 100644 index 6cbf56bd..00000000 Binary files a/doc/manual/html/form_291.png and /dev/null differ diff --git a/doc/manual/html/form_292.png b/doc/manual/html/form_292.png deleted file mode 100644 index 1a628dae..00000000 Binary files a/doc/manual/html/form_292.png and /dev/null differ diff --git a/doc/manual/html/form_293.png b/doc/manual/html/form_293.png deleted file mode 100644 index 0ee2b895..00000000 Binary files a/doc/manual/html/form_293.png and /dev/null differ diff --git a/doc/manual/html/form_294.png b/doc/manual/html/form_294.png deleted file mode 100644 index 17d1f711..00000000 Binary files a/doc/manual/html/form_294.png and /dev/null differ diff --git a/doc/manual/html/form_295.png b/doc/manual/html/form_295.png deleted file mode 100644 index 8cd27681..00000000 Binary files a/doc/manual/html/form_295.png and /dev/null differ diff --git a/doc/manual/html/form_296.png b/doc/manual/html/form_296.png deleted file mode 100644 index 89c5391b..00000000 Binary files a/doc/manual/html/form_296.png and /dev/null differ diff --git a/doc/manual/html/form_297.png b/doc/manual/html/form_297.png deleted file mode 100644 index 1f225196..00000000 Binary files a/doc/manual/html/form_297.png and /dev/null differ diff --git a/doc/manual/html/form_298.png b/doc/manual/html/form_298.png deleted file mode 100644 index 991f095b..00000000 Binary files a/doc/manual/html/form_298.png and /dev/null differ diff --git a/doc/manual/html/form_299.png b/doc/manual/html/form_299.png deleted file mode 100644 index 6bba9018..00000000 Binary files a/doc/manual/html/form_299.png and /dev/null differ diff --git a/doc/manual/html/form_3.png b/doc/manual/html/form_3.png deleted file mode 100644 index 2adecd06..00000000 Binary files a/doc/manual/html/form_3.png and /dev/null differ diff --git a/doc/manual/html/form_30.png b/doc/manual/html/form_30.png deleted file mode 100644 index c07bd25d..00000000 Binary files a/doc/manual/html/form_30.png and /dev/null differ diff --git a/doc/manual/html/form_300.png b/doc/manual/html/form_300.png deleted file mode 100644 index ca489b8e..00000000 Binary files a/doc/manual/html/form_300.png and /dev/null differ diff --git a/doc/manual/html/form_301.png b/doc/manual/html/form_301.png deleted file mode 100644 index 8c8f417f..00000000 Binary files a/doc/manual/html/form_301.png and /dev/null differ diff --git a/doc/manual/html/form_31.png b/doc/manual/html/form_31.png deleted file mode 100644 index a12dee64..00000000 Binary files a/doc/manual/html/form_31.png and /dev/null differ diff --git a/doc/manual/html/form_32.png b/doc/manual/html/form_32.png deleted file mode 100644 index 29c57580..00000000 Binary files a/doc/manual/html/form_32.png and /dev/null differ diff --git a/doc/manual/html/form_33.png b/doc/manual/html/form_33.png deleted file mode 100644 index fced8609..00000000 Binary files a/doc/manual/html/form_33.png and /dev/null differ diff --git a/doc/manual/html/form_34.png b/doc/manual/html/form_34.png deleted file mode 100644 index 20ca4b9e..00000000 Binary files a/doc/manual/html/form_34.png and /dev/null differ diff --git a/doc/manual/html/form_35.png b/doc/manual/html/form_35.png deleted file mode 100644 index b62e4725..00000000 Binary files a/doc/manual/html/form_35.png and /dev/null differ diff --git a/doc/manual/html/form_36.png b/doc/manual/html/form_36.png deleted file mode 100644 index 07e84ee2..00000000 Binary files a/doc/manual/html/form_36.png and /dev/null differ diff --git a/doc/manual/html/form_37.png b/doc/manual/html/form_37.png deleted file mode 100644 index db92b1a3..00000000 Binary files a/doc/manual/html/form_37.png and /dev/null differ diff --git a/doc/manual/html/form_38.png b/doc/manual/html/form_38.png deleted file mode 100644 index 76420860..00000000 Binary files a/doc/manual/html/form_38.png and /dev/null differ diff --git a/doc/manual/html/form_39.png b/doc/manual/html/form_39.png deleted file mode 100644 index 551dbc0d..00000000 Binary files a/doc/manual/html/form_39.png and /dev/null differ diff --git a/doc/manual/html/form_4.png b/doc/manual/html/form_4.png deleted file mode 100644 index 187e9ceb..00000000 Binary files a/doc/manual/html/form_4.png and /dev/null differ diff --git a/doc/manual/html/form_40.png b/doc/manual/html/form_40.png deleted file mode 100644 index 514acd5c..00000000 Binary files a/doc/manual/html/form_40.png and /dev/null differ diff --git a/doc/manual/html/form_41.png b/doc/manual/html/form_41.png deleted file mode 100644 index 0b7cd83a..00000000 Binary files a/doc/manual/html/form_41.png and /dev/null differ diff --git a/doc/manual/html/form_42.png b/doc/manual/html/form_42.png deleted file mode 100644 index a434881d..00000000 Binary files a/doc/manual/html/form_42.png and /dev/null differ diff --git a/doc/manual/html/form_43.png b/doc/manual/html/form_43.png deleted file mode 100644 index 327920a4..00000000 Binary files a/doc/manual/html/form_43.png and /dev/null differ diff --git a/doc/manual/html/form_44.png b/doc/manual/html/form_44.png deleted file mode 100644 index d288afd4..00000000 Binary files a/doc/manual/html/form_44.png and /dev/null differ diff --git a/doc/manual/html/form_45.png b/doc/manual/html/form_45.png deleted file mode 100644 index d7f254a0..00000000 Binary files a/doc/manual/html/form_45.png and /dev/null differ diff --git a/doc/manual/html/form_46.png b/doc/manual/html/form_46.png deleted file mode 100644 index 6e586534..00000000 Binary files a/doc/manual/html/form_46.png and /dev/null differ diff --git a/doc/manual/html/form_47.png b/doc/manual/html/form_47.png deleted file mode 100644 index 80882c3c..00000000 Binary files a/doc/manual/html/form_47.png and /dev/null differ diff --git a/doc/manual/html/form_48.png b/doc/manual/html/form_48.png deleted file mode 100644 index 15114e76..00000000 Binary files a/doc/manual/html/form_48.png and /dev/null differ diff --git a/doc/manual/html/form_49.png b/doc/manual/html/form_49.png deleted file mode 100644 index ba13270e..00000000 Binary files a/doc/manual/html/form_49.png and /dev/null differ diff --git a/doc/manual/html/form_5.png b/doc/manual/html/form_5.png deleted file mode 100644 index 036cd478..00000000 Binary files a/doc/manual/html/form_5.png and /dev/null differ diff --git a/doc/manual/html/form_50.png b/doc/manual/html/form_50.png deleted file mode 100644 index cc88559e..00000000 Binary files a/doc/manual/html/form_50.png and /dev/null differ diff --git a/doc/manual/html/form_51.png b/doc/manual/html/form_51.png deleted file mode 100644 index d20555d2..00000000 Binary files a/doc/manual/html/form_51.png and /dev/null differ diff --git a/doc/manual/html/form_52.png b/doc/manual/html/form_52.png deleted file mode 100644 index 587f1902..00000000 Binary files a/doc/manual/html/form_52.png and /dev/null differ diff --git a/doc/manual/html/form_53.png b/doc/manual/html/form_53.png deleted file mode 100644 index 4860b1cb..00000000 Binary files a/doc/manual/html/form_53.png and /dev/null differ diff --git a/doc/manual/html/form_54.png b/doc/manual/html/form_54.png deleted file mode 100644 index c2e845dd..00000000 Binary files a/doc/manual/html/form_54.png and /dev/null differ diff --git a/doc/manual/html/form_55.png b/doc/manual/html/form_55.png deleted file mode 100644 index a92f932e..00000000 Binary files a/doc/manual/html/form_55.png and /dev/null differ diff --git a/doc/manual/html/form_56.png b/doc/manual/html/form_56.png deleted file mode 100644 index 16943f77..00000000 Binary files a/doc/manual/html/form_56.png and /dev/null differ diff --git a/doc/manual/html/form_57.png b/doc/manual/html/form_57.png deleted file mode 100644 index 7b3fe3b0..00000000 Binary files a/doc/manual/html/form_57.png and /dev/null differ diff --git a/doc/manual/html/form_58.png b/doc/manual/html/form_58.png deleted file mode 100644 index 17d1f711..00000000 Binary files a/doc/manual/html/form_58.png and /dev/null differ diff --git a/doc/manual/html/form_59.png b/doc/manual/html/form_59.png deleted file mode 100644 index c7e9ed5e..00000000 Binary files a/doc/manual/html/form_59.png and /dev/null differ diff --git a/doc/manual/html/form_6.png b/doc/manual/html/form_6.png deleted file mode 100644 index 327920a4..00000000 Binary files a/doc/manual/html/form_6.png and /dev/null differ diff --git a/doc/manual/html/form_60.png b/doc/manual/html/form_60.png deleted file mode 100644 index 865eac46..00000000 Binary files a/doc/manual/html/form_60.png and /dev/null differ diff --git a/doc/manual/html/form_61.png b/doc/manual/html/form_61.png deleted file mode 100644 index 49343352..00000000 Binary files a/doc/manual/html/form_61.png and /dev/null differ diff --git a/doc/manual/html/form_62.png b/doc/manual/html/form_62.png deleted file mode 100644 index 7b3fe3b0..00000000 Binary files a/doc/manual/html/form_62.png and /dev/null differ diff --git a/doc/manual/html/form_63.png b/doc/manual/html/form_63.png deleted file mode 100644 index 91eb20be..00000000 Binary files a/doc/manual/html/form_63.png and /dev/null differ diff --git a/doc/manual/html/form_64.png b/doc/manual/html/form_64.png deleted file mode 100644 index 8e5d5ce1..00000000 Binary files a/doc/manual/html/form_64.png and /dev/null differ diff --git a/doc/manual/html/form_65.png b/doc/manual/html/form_65.png deleted file mode 100644 index 8e5d5ce1..00000000 Binary files a/doc/manual/html/form_65.png and /dev/null differ diff --git a/doc/manual/html/form_66.png b/doc/manual/html/form_66.png deleted file mode 100644 index 187e9ceb..00000000 Binary files a/doc/manual/html/form_66.png and /dev/null differ diff --git a/doc/manual/html/form_67.png b/doc/manual/html/form_67.png deleted file mode 100644 index 6b48f062..00000000 Binary files a/doc/manual/html/form_67.png and /dev/null differ diff --git a/doc/manual/html/form_68.png b/doc/manual/html/form_68.png deleted file mode 100644 index 50502426..00000000 Binary files a/doc/manual/html/form_68.png and /dev/null differ diff --git a/doc/manual/html/form_69.png b/doc/manual/html/form_69.png deleted file mode 100644 index b7a813a8..00000000 Binary files a/doc/manual/html/form_69.png and /dev/null differ diff --git a/doc/manual/html/form_7.png b/doc/manual/html/form_7.png deleted file mode 100644 index b4abf0e6..00000000 Binary files a/doc/manual/html/form_7.png and /dev/null differ diff --git a/doc/manual/html/form_70.png b/doc/manual/html/form_70.png deleted file mode 100644 index 183acef7..00000000 Binary files a/doc/manual/html/form_70.png and /dev/null differ diff --git a/doc/manual/html/form_71.png b/doc/manual/html/form_71.png deleted file mode 100644 index 9eeb1423..00000000 Binary files a/doc/manual/html/form_71.png and /dev/null differ diff --git a/doc/manual/html/form_72.png b/doc/manual/html/form_72.png deleted file mode 100644 index 97da7ca5..00000000 Binary files a/doc/manual/html/form_72.png and /dev/null differ diff --git a/doc/manual/html/form_73.png b/doc/manual/html/form_73.png deleted file mode 100644 index 4ca0cbec..00000000 Binary files a/doc/manual/html/form_73.png and /dev/null differ diff --git a/doc/manual/html/form_74.png b/doc/manual/html/form_74.png deleted file mode 100644 index 0c91d570..00000000 Binary files a/doc/manual/html/form_74.png and /dev/null differ diff --git a/doc/manual/html/form_75.png b/doc/manual/html/form_75.png deleted file mode 100644 index 97d9add4..00000000 Binary files a/doc/manual/html/form_75.png and /dev/null differ diff --git a/doc/manual/html/form_76.png b/doc/manual/html/form_76.png deleted file mode 100644 index 0384f667..00000000 Binary files a/doc/manual/html/form_76.png and /dev/null differ diff --git a/doc/manual/html/form_77.png b/doc/manual/html/form_77.png deleted file mode 100644 index d0f1ddf7..00000000 Binary files a/doc/manual/html/form_77.png and /dev/null differ diff --git a/doc/manual/html/form_78.png b/doc/manual/html/form_78.png deleted file mode 100644 index 6b48f062..00000000 Binary files a/doc/manual/html/form_78.png and /dev/null differ diff --git a/doc/manual/html/form_79.png b/doc/manual/html/form_79.png deleted file mode 100644 index 50502426..00000000 Binary files a/doc/manual/html/form_79.png and /dev/null differ diff --git a/doc/manual/html/form_8.png b/doc/manual/html/form_8.png deleted file mode 100644 index b7cd3458..00000000 Binary files a/doc/manual/html/form_8.png and /dev/null differ diff --git a/doc/manual/html/form_80.png b/doc/manual/html/form_80.png deleted file mode 100644 index b7a813a8..00000000 Binary files a/doc/manual/html/form_80.png and /dev/null differ diff --git a/doc/manual/html/form_81.png b/doc/manual/html/form_81.png deleted file mode 100644 index 183acef7..00000000 Binary files a/doc/manual/html/form_81.png and /dev/null differ diff --git a/doc/manual/html/form_82.png b/doc/manual/html/form_82.png deleted file mode 100644 index 9eeb1423..00000000 Binary files a/doc/manual/html/form_82.png and /dev/null differ diff --git a/doc/manual/html/form_83.png b/doc/manual/html/form_83.png deleted file mode 100644 index 4ca0cbec..00000000 Binary files a/doc/manual/html/form_83.png and /dev/null differ diff --git a/doc/manual/html/form_84.png b/doc/manual/html/form_84.png deleted file mode 100644 index 0c91d570..00000000 Binary files a/doc/manual/html/form_84.png and /dev/null differ diff --git a/doc/manual/html/form_85.png b/doc/manual/html/form_85.png deleted file mode 100644 index 97d9add4..00000000 Binary files a/doc/manual/html/form_85.png and /dev/null differ diff --git a/doc/manual/html/form_86.png b/doc/manual/html/form_86.png deleted file mode 100644 index 187e9ceb..00000000 Binary files a/doc/manual/html/form_86.png and /dev/null differ diff --git a/doc/manual/html/form_87.png b/doc/manual/html/form_87.png deleted file mode 100644 index 036cd478..00000000 Binary files a/doc/manual/html/form_87.png and /dev/null differ diff --git a/doc/manual/html/form_88.png b/doc/manual/html/form_88.png deleted file mode 100644 index c8fbf3c2..00000000 Binary files a/doc/manual/html/form_88.png and /dev/null differ diff --git a/doc/manual/html/form_89.png b/doc/manual/html/form_89.png deleted file mode 100644 index 819bb19a..00000000 Binary files a/doc/manual/html/form_89.png and /dev/null differ diff --git a/doc/manual/html/form_9.png b/doc/manual/html/form_9.png deleted file mode 100644 index c07cfec5..00000000 Binary files a/doc/manual/html/form_9.png and /dev/null differ diff --git a/doc/manual/html/form_90.png b/doc/manual/html/form_90.png deleted file mode 100644 index 0a90e09b..00000000 Binary files a/doc/manual/html/form_90.png and /dev/null differ diff --git a/doc/manual/html/form_91.png b/doc/manual/html/form_91.png deleted file mode 100644 index 453f8a8f..00000000 Binary files a/doc/manual/html/form_91.png and /dev/null differ diff --git a/doc/manual/html/form_92.png b/doc/manual/html/form_92.png deleted file mode 100644 index c328dce0..00000000 Binary files a/doc/manual/html/form_92.png and /dev/null differ diff --git a/doc/manual/html/form_93.png b/doc/manual/html/form_93.png deleted file mode 100644 index 5de176cf..00000000 Binary files a/doc/manual/html/form_93.png and /dev/null differ diff --git a/doc/manual/html/form_94.png b/doc/manual/html/form_94.png deleted file mode 100644 index 68cc95f9..00000000 Binary files a/doc/manual/html/form_94.png and /dev/null differ diff --git a/doc/manual/html/form_95.png b/doc/manual/html/form_95.png deleted file mode 100644 index f145e066..00000000 Binary files a/doc/manual/html/form_95.png and /dev/null differ diff --git a/doc/manual/html/form_96.png b/doc/manual/html/form_96.png deleted file mode 100644 index d6fb6de3..00000000 Binary files a/doc/manual/html/form_96.png and /dev/null differ diff --git a/doc/manual/html/form_97.png b/doc/manual/html/form_97.png deleted file mode 100644 index 8b7fcc33..00000000 Binary files a/doc/manual/html/form_97.png and /dev/null differ diff --git a/doc/manual/html/form_98.png b/doc/manual/html/form_98.png deleted file mode 100644 index 4d4ab632..00000000 Binary files a/doc/manual/html/form_98.png and /dev/null differ diff --git a/doc/manual/html/form_99.png b/doc/manual/html/form_99.png deleted file mode 100644 index 490cbe4b..00000000 Binary files a/doc/manual/html/form_99.png and /dev/null differ diff --git a/doc/manual/html/formula.repository b/doc/manual/html/formula.repository deleted file mode 100644 index 6064b469..00000000 --- a/doc/manual/html/formula.repository +++ /dev/null @@ -1,302 +0,0 @@ -\form#0:$ Y_\mathrm{He}(\omega_b, \Delta N_\mathrm{eff})$ -\form#1:$S(k,\tau)$ -\form#2:$\Delta_l(k)$ -\form#3:$P(k)$ -\form#4:$C_l$ -\form#5:$S(k, \tau)$ -\form#6:$\tau$ -\form#7:$n_s$ -\form#8:$T_{cmb}$ -\form#9:$\omega_i \equiv \Omega_i h^2$ -\form#10:$h$ -\form#11:$i$ -\form#12:$j$ -\form#13:$ H_0 $ -\form#14:$H_0/c$ -\form#15:$ Mpc^{-1} $ -\form#16:$ \Omega_{0 \gamma} $ -\form#17:$ T_{cmb} $ -\form#18:$ \Omega_{0 b} $ -\form#19:$ \Omega_{0 cdm} $ -\form#20:$ \Omega_{0_\Lambda} $ -\form#21:$ \Omega_{0 de} $ -\form#22:$ w $ -\form#23:$ c_s^2 $ -\form#24:$ w0_{DE} $ -\form#25:$ wa_{DE} $ -\form#26:$ c^2_{s~DE} $ -\form#27:$ \Omega_{0 \nu r} $ -\form#28:$ \Omega_{0 dcdm}+\Omega_{0 dr} $ -\form#29:$ \Gamma_{dcdm} $ -\form#30:$ \Omega_{ini,dcdm} $ -\form#31:$ \Omega_{0 scf} $ -\form#32:$ \phi(t_0) $ -\form#33:$ d\phi(t_0)/d\tau $ -\form#34:$ \Omega_{0_k} $ -\form#35:$ K $ -\form#36:$ K=-\Omega0_k*a_{today}^2*H_0^2$ -\form#37:$ \Omega_{0 dcdm} $ -\form#38:$ \Omega_{0 dr} $ -\form#39:$Mpc^{-1}$ -\form#40:$ \Omega_{\gamma} + \Omega_{\nu r} $ -\form#41:$ \Omega_b + \Omega_cdm + \Omega_{\nu nr} $ -\form#42:$ D = H \int [da/(aH)^3] $ -\form#43:$ \tau $ -\form#44:$ z $ -\form#45:$ d^2 \tau / dz^2 $ -\form#46:$ d^2 b_i / d\tau^2 $ -\form#47:$ [da/(aH)^3]=[d\tau/(aH^2)]$ -\form#48:$ d \tau $ -\form#49:$ \tau_c/\tau_H $ -\form#50:$ \tau_h/\tau_k $ -\form#51:$ \tau_c/\tau_k \equiv k \tau_c $ -\form#52:$ 1/k $ -\form#53:$ 1/aH $ -\form#54:$ 1/\dot{\kappa} $ -\form#55:$ (\dot{\kappa}- \ddot{\kappa}/\dot{\kappa})^{-1} $ -\form#56:$ k \tau $ -\form#57:$ \Phi_l^{\nu}(x)$ -\form#58:$ j_l(x)$ -\form#59:$ 2\pi $ -\form#60:$ 2\pi/\nu$ -\form#61:$ \nu $ -\form#62:$ \Phi_l^{\nu}(x) $ -\form#63:$ 2\pi/r_a(\tau_rec) $ -\form#64:$ 2\pi/r_a(\tau_{rec})$ -\form#65:$ 2\pi/r_a(\tau_{rec}) $ -\form#66:$ C_l$ -\form#67:$ C_l^{TT}$ -\form#68:$ C_l^{EE}$ -\form#69:$ C_l^{TE}$ -\form#70:$ C_l^{BB}$ -\form#71:$ C_l^{\phi\phi}$ -\form#72:$ \phi $ -\form#73:$ C_l^{T\phi}$ -\form#74:$ C_l^{dd}$ -\form#75:$ C_l^{Td}$ -\form#76:$ C_l^{ll}$ -\form#77:$ C_l^{Tl}$ -\form#78:$ C_l^{TT} $ -\form#79:$ C_l^{EE} $ -\form#80:$ C_l^{TE} $ -\form#81:$ C_l^{BB} $ -\form#82:$ C_l^{\phi\phi} $ -\form#83:$ C_l^{T\phi} $ -\form#84:$ C_l^{dd} $ -\form#85:$ C_l^{Td} $ -\form#86:$ C_l $ -\form#87:$ S(k, \tau) $ -\form#88:$ \theta_{cdm} = 0 $ -\form#89:$ \int W(tau) dtau=1 $ -\form#90:$ \alpha = (h' + 6 \eta') / (2 k^2) $ -\form#91:$ \alpha'$ -\form#92:$ h_v$ -\form#93:$ s_l = \sqrt{1-K*(l^2-1)/k^2} $ -\form#94:$ r=A_T/A_S=P_h/P_R $ -\form#95:$ S_{bi}/R $ -\form#96:$ S_{cdi}/R $ -\form#97:$ S_{nid}/R $ -\form#98:$ S_{niv}/R $ -\form#99:$ k_{min}=aH $ -\form#100:$ k_{max}=aH $ -\form#101:$ C_l^{E\phi}$ -\form#102:$ C_l^{\phi d}$ -\form#103:$ C_l^{dl}$ -\form#104:$ C_l^{E\phi} $ -\form#105:$ C_l^{pd} $ -\form#106:$ C_l^{ll} $ -\form#107:$ C_l^{Tl} $ -\form#108:$ C_l^{dl} $ -\form#109:$ Y_{He} $ -\form#110:$ X_e(z)$ -\form#111:$ x_e $ -\form#112:$ d \kappa / d \tau$ -\form#113:$ d^2 \kappa / d \tau^2 $ -\form#114:$ d^3 \kappa / d \tau^3 $ -\form#115:$ exp^{-\kappa} $ -\form#116:$ g = (d \kappa / d \tau) * exp^{-\kappa} $ -\form#117:$ (d g / d \tau) $ -\form#118:$ (d^2 g / d \tau^2) $ -\form#119:$ T_b $ -\form#120:$ c_b^2 $ -\form#121:$ d [c_b^2] / d \tau $ -\form#122:$ d^2 [c_b^2] / d \tau^2 $ -\form#123:$ exp^{-\kappa}$ -\form#124:$ d^2 t_i / dz^2 $ -\form#125:$ d \kappa / d \tau $ -\form#126:$ d \kappa / d z$ -\form#127:$ \Delta_l^{X} (q) $ -\form#128:$ a $ -\form#129:$ a$ -\form#130:$ [3c^2/8\pi G] $ -\form#131:$ \rho_{class} = [8 \pi G \rho_{physical} / 3 c^2]$ -\form#132:$ 1/r $ -\form#133:$ 1/r^2 $ -\form#134:$ r\to 0 $ -\form#135:$ \phi, \phi' $ -\form#136:$ t=1/(2H) $ -\form#137:$ \tau=1/(aH) $ -\form#138:$ c_s=1/\sqrt{3} $ -\form#139:$ d\tau /(aH^2) $ -\form#140:$ a^4 $ -\form#141:$ a'=a^2 H $ -\form#142:$ t' = a $ -\form#143:$ rs' = c_s $ -\form#144:$ = 1/(aH^2) $ -\form#145:$ \rho' = -3aH \rho - a \Gamma \rho $ -\form#146:$ \rho' = -4aH \rho - a \Gamma \rho $ -\form#147:$ \phi'' + 2 a H \phi' + a^2 dV = 0 $ -\form#148:$ V = V_{p_{scf}}*V_{e_{scf}} $ -\form#149:$ V_e = \exp(-\lambda \phi) $ -\form#150:$ V_p = (\phi - B)^\alpha + A $ -\form#151:$ m_{pl} = (8 \pi G)^{(-1/2)}$ -\form#152:$ V(\phi) $ -\form#153:$ m_{pl}^2/Mpc^2 $ -\form#154:$ \rho^{class} = (8 \pi G)/3 \rho^{physical} = 1/(3 m_{pl}^2) \rho^{physical} = 1/3 * [ 1/(2a^2) (\phi')^2 + V(\phi) ] $ -\form#155:$ \rho^{class} $ -\form#156:$ Mpc^-2 $ -\form#157:$ V = V_p*V_e $ -\form#158:$ H_0/c$ -\form#159:$ Mpc^{-1} = h / 2997.9... = h * 10^5 / c $ -\form#160:$ Kg/m/s^2 $ -\form#161:$ T^4 $ -\form#162:$ = 3 c^2 H_0^2 / (8 \pi G) $ -\form#163:$ C_l^{X}, P(k), ... $ -\form#164:$ C_l^{X} $ -\form#165:$ \mu $ -\form#166:$ \mu=1 $ -\form#167:$ d^l_{mm'} (\mu) $ -\form#168:$ Cgl(\mu)$ -\form#169:$ Cgl2(\mu) $ -\form#170:$\mu$ -\form#171:$ cl_{tt}$ -\form#172:$ cl_{pp}$ -\form#173:$(\mu)$ -\form#174:$ d^l_{00}$ -\form#175:$ d^l_{20}$ -\form#176:$ cl_{te}$ -\form#177:$ d^l_{22}$ -\form#178:$ d^l_{2-2}$ -\form#179:$ cl_{ee}$ -\form#180:$ cl_{bb}$ -\form#181:$ \sqrt{(2l+1)/2} d^l_{mm'} $ -\form#182:$ P(k)$ -\form#183:$ T_{cmb}$ -\form#184:$ T_i(k)$ -\form#185:$ S^{X} (k, \tau) $ -\form#186:$ |g/\dot{g}| = |\dot{\kappa}-\ddot{\kappa}/\dot{\kappa}|^{-1} $ -\form#187:$ |2\ddot{a}/a-(\dot{a}/a)^2|^{-1/2} $ -\form#188:$ s_l$ -\form#189:$ h_v $ -\form#190:$ = -(a/k)^2/\phi'(\rho + p)\theta $ -\form#191:$ = a^2/\phi' $ -\form#192:$ c_s^2 = 1 $ -\form#193:\[ \ \ \sum_{ij} \] -\form#194:\[ h'' + \frac{2a'}{a} h + [k2+2K] h = 12\pi Ga2 (\rho+p) \sigma = 8\pi Ga2 p \pi \] -\form#195:\[ = \int \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} \right] = \int \frac{dk}{k} \mathcal{P}_R(k) \] -\form#196:\[\sum_{ij} = \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} F\left(\frac{k^2}{K}\right) \right] = \int \frac{dk}{k} F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \] -\form#197:$ \mathcal{P}_R$ -\form#198:$ \mathcal{P}_h$ -\form#199:$ Q_{ij}$ -\form#200:\[ C_l^S = 4\pi \int \frac{dk}{k} [\Delta_l^S(q)]^2 \mathcal{P}_R(k) \] -\form#201:\[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \] -\form#202:$ r = A_t / A_s $ -\form#203:$ \mathcal{P}_R(k)$ -\form#204:$ \mathcal{P}_h(k)$ -\form#205:\[ r = 6 \frac{\mathcal{P}_h(k)}{\mathcal{P}_R(k)} \] -\form#206:\[ \mathcal{P}_h(k) = \frac{\mathcal{P}_R(k) r}{6} = \frac{A_s r}{6} = \frac{A_t}{6} \] -\form#207:$ (k/k_{pivot})^{n_t} $ -\form#208:$ \mathcal{P}_h(k)=\tanh(\pi*\nu/2)$ -\form#209:\[ \mathcal{P}_h(k) = \frac{A_t}{6} [ \tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)}\] -\form#210:\[ [...] \] -\form#211:\[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \frac{A_t}{6} [\tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)} \] -\form#212:$ \mathcal{P}_h(k) = \frac{A_t}{6} \tanh{(\pi*\frac{\nu}{2})} (k/k^*)^{n_T}$ -\form#213:$ h = 1$ -\form#214:$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) $ -\form#215:$ \mathcal{P}_h(k) = A_t (k/k^*)^{n_T} $ -\form#216:$ h = \sqrt{[F\left(\frac{k^2}{K}\right) / 6] \tanh{(\pi*\frac{\nu}{2})}} $ -\form#217:$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 \mathcal{P}_h(k) $ -\form#218:\[ h = \sqrt{\left(\frac{F}{6}\right) \tanh{(\pi*\frac{\nu}{2})}} \] -\form#219:\[ \sum_{ij} = \int \frac{dk}{k} \frac{k2(k2-K)}{(k2+3K)(k2+2K)} \mathcal{P}_h(k) \] -\form#220:$ q2 = k2 - 3K $ -\form#221:\[ \sum_{ij} = \int \frac{dk}{k} \frac{(q2-3K)(q2-4K)}{q2(q2-K)} \mathcal{P}_h(k) \] -\form#222:\[ \sum_{ij} = \int \frac{dq}{q} \frac{q2-4K}{q2-K} \mathcal{P}_h(k(q)) \] -\form#223:$ \nu=q/\sqrt{|K|}$ -\form#224:$=\pm 1$ -\form#225:\[ \sum_{ij} = \int \frac{d\nu}{\nu} \frac{(\nu2-4sgnK)}{(\nu2-sgnK)} \mathcal{P}_h(k(\nu)) \] -\form#226:$ (\nu2-4sgnK)/(\nu2-sgnK)$ -\form#227:\[ h = \sqrt{ [k2(k2-K)]/[(k2+3K)(k2+2K)] / 6 * \tanh{(\pi*\frac{\nu}{2})} } \] -\form#228:$ A_T$ -\form#229:$ n_T$ -\form#230:$ \tau_c = 1/\kappa' $ -\form#231:$ \tau_h = a/a' $ -\form#232:$ \tau_k = 1/k $ -\form#233:$ \min(\tau_c, \tau_b, \tau_h, \tau_k) $ -\form#234:$ \tau_c \ll \tau_h $ -\form#235:$ \tau_c \ll \tau_k $ -\form#236:$ \tau_c $ -\form#237:$ 1/\tau_c $ -\form#238:$ \min(\tau_h, \tau_k) $ -\form#239:$ \rho_{matter} \gg \rho_{radiation} $ -\form#240:$ k \gg aH $ -\form#241:$ \tau_h $ -\form#242:$ \kappa'=0 $ -\form#243:$ \kappa' \neq 0 $ -\form#244:$ \tau_{\gamma} = 1/ \kappa' $ -\form#245:$ \sqrt{|K|}*\tau $ -\form#246:$ \Pi = G_{\gamma 0} + G_{\gamma 2} + F_{\gamma 2} $ -\form#247:$^{-2}$ -\form#248:$^{-1}$ -\form#249:$ P_{12}/\sqrt{P_{11} P_{22}}$ -\form#250:$\ln{P_{12}}$ -\form#251:$Mpc^3$ -\form#252:$ \ln{k}$ -\form#253:$V(\phi)$ -\form#254:$H(\phi)$ -\form#255:$ P_k $ -\form#256:$ \ln{P_k} $ -\form#257:$ Mp^4$ -\form#258:$ H(\phi)$ -\form#259:$ dH / d\phi $ -\form#260:$ d^2H / d\phi^2 $ -\form#261:$ d^3H / d\phi^3 $ -\form#262:$ \phi=-V'/3H$ -\form#263:$\phi'$ -\form#264:$ d^2a/dt^2 = 0$ -\form#265:$ dH/d\phi$ -\form#266:$ Mpc^3$ -\form#267:$\ln{P(k)}$ -\form#268:$ Mpc^3 $ -\form#269:$\ln{\tau}$ -\form#270:$ P(k,z=0)$ -\form#271:$ T_i(k) $ -\form#272:$ T_i(k,z=0)$ -\form#273:$ T_i(k,z)$ -\form#274:$ P(k,\tau)$ -\form#275:$ T_i(k,\tau)$ -\form#276:$P(k,z)$ -\form#277:$P(k,\tau)$ -\form#278:$T_i(k,\tau)$ -\form#279:$ P_{NL}(k,\tau)$ -\form#280:$T_i(k)$ -\form#281:$ z, x_e, d \kappa / d \tau, T_b, c_b^2 $ -\form#282:$ g= (d \kappa/d \tau) e^{- \kappa} $ -\form#283:$ \Delta N_{eff}=0$ -\form#284:$ N_{eff}=3.046$ -\form#285:$ X_e(z) $ -\form#286:$ X_e $ -\form#287:$ d \kappa / d z = (d \kappa / d \tau) * (d \tau / d z) = - (d \kappa / d \tau) / H $ -\form#288:$ d \tau / dz $ -\form#289:$ d x_H / dz, d x_{He} / dz, d T_{mat} / dz $ -\form#290:$ q2 = k2 + K(1+m)$ -\form#291:$ \Delta_l^{X} (k) $ -\form#292:$ \Delta_l(k) $ -\form#293:$ j_l(k[\tau_0-\tau]) $ -\form#294:$ j_l(x) $ -\form#295:$ x_{\min} $ -\form#296:$ \sqrt{\pi/(2l+1)}/q $ -\form#297:$ \sqrt{\pi/(2l+1)}/(l+1/2)$ -\form#298:$ [D''(\tau)=-aHD'(\tau)+3/2 a^2 \rho_M D(\tau) $ -\form#299:$ \rho' = -3aH (1+w_{fld}(a)) \rho $ -\form#300:$ \int_{a}^{a_0} da 3(1+w_{fld})/a $ -\form#301:$ \int_{a}^{a0} da 3(1+w_{fld})/a $ diff --git a/doc/manual/html/functions.html b/doc/manual/html/functions.html deleted file mode 100644 index e47b2a4e..00000000 --- a/doc/manual/html/functions.html +++ /dev/null @@ -1,252 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- a -

-
-
- - - - diff --git a/doc/manual/html/functions_b.html b/doc/manual/html/functions_b.html deleted file mode 100644 index ee6adf2e..00000000 --- a/doc/manual/html/functions_b.html +++ /dev/null @@ -1,145 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- b -

-
-
- - - - diff --git a/doc/manual/html/functions_c.html b/doc/manual/html/functions_c.html deleted file mode 100644 index 3a3a01b3..00000000 --- a/doc/manual/html/functions_c.html +++ /dev/null @@ -1,229 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- c -

-
-
- - - - diff --git a/doc/manual/html/functions_d.html b/doc/manual/html/functions_d.html deleted file mode 100644 index 2233a672..00000000 --- a/doc/manual/html/functions_d.html +++ /dev/null @@ -1,182 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- d -

-
-
- - - - diff --git a/doc/manual/html/functions_dup.js b/doc/manual/html/functions_dup.js deleted file mode 100644 index d465edeb..00000000 --- a/doc/manual/html/functions_dup.js +++ /dev/null @@ -1,27 +0,0 @@ -var functions_dup = -[ - [ "a", "functions.html", null ], - [ "b", "functions_b.html", null ], - [ "c", "functions_c.html", null ], - [ "d", "functions_d.html", null ], - [ "e", "functions_e.html", null ], - [ "f", "functions_f.html", null ], - [ "g", "functions_g.html", null ], - [ "h", "functions_h.html", null ], - [ "i", "functions_i.html", null ], - [ "k", "functions_k.html", null ], - [ "l", "functions_l.html", null ], - [ "m", "functions_m.html", null ], - [ "n", "functions_n.html", null ], - [ "o", "functions_o.html", null ], - [ "p", "functions_p.html", null ], - [ "q", "functions_q.html", null ], - [ "r", "functions_r.html", null ], - [ "s", "functions_s.html", null ], - [ "t", "functions_t.html", null ], - [ "u", "functions_u.html", null ], - [ "v", "functions_v.html", null ], - [ "w", "functions_w.html", null ], - [ "y", "functions_y.html", null ], - [ "z", "functions_z.html", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/functions_e.html b/doc/manual/html/functions_e.html deleted file mode 100644 index e832d1c1..00000000 --- a/doc/manual/html/functions_e.html +++ /dev/null @@ -1,124 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- e -

-
-
- - - - diff --git a/doc/manual/html/functions_f.html b/doc/manual/html/functions_f.html deleted file mode 100644 index 3fa9872d..00000000 --- a/doc/manual/html/functions_f.html +++ /dev/null @@ -1,121 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- f -

-
-
- - - - diff --git a/doc/manual/html/functions_g.html b/doc/manual/html/functions_g.html deleted file mode 100644 index 64044b38..00000000 --- a/doc/manual/html/functions_g.html +++ /dev/null @@ -1,115 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- g -

-
-
- - - - diff --git a/doc/manual/html/functions_g_conflict-20180910-175331.html b/doc/manual/html/functions_g_conflict-20180910-175331.html deleted file mode 100644 index f2022924..00000000 --- a/doc/manual/html/functions_g_conflict-20180910-175331.html +++ /dev/null @@ -1,115 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- g -

-
-
- - - - diff --git a/doc/manual/html/functions_h.html b/doc/manual/html/functions_h.html deleted file mode 100644 index 3230d0a7..00000000 --- a/doc/manual/html/functions_h.html +++ /dev/null @@ -1,456 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- h -

-
-
- - - - diff --git a/doc/manual/html/functions_i.html b/doc/manual/html/functions_i.html deleted file mode 100644 index af2e70e7..00000000 --- a/doc/manual/html/functions_i.html +++ /dev/null @@ -1,916 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- i -

-
-
- - - - diff --git a/doc/manual/html/functions_k.html b/doc/manual/html/functions_k.html deleted file mode 100644 index 7b1d1e60..00000000 --- a/doc/manual/html/functions_k.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- k -

-
-
- - - - diff --git a/doc/manual/html/functions_k_conflict-20180910-175331.html b/doc/manual/html/functions_k_conflict-20180910-175331.html deleted file mode 100644 index 95f4e641..00000000 --- a/doc/manual/html/functions_k_conflict-20180910-175331.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- k -

-
-
- - - - diff --git a/doc/manual/html/functions_l.html b/doc/manual/html/functions_l.html deleted file mode 100644 index a067f08b..00000000 --- a/doc/manual/html/functions_l.html +++ /dev/null @@ -1,252 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- l -

-
-
- - - - diff --git a/doc/manual/html/functions_m.html b/doc/manual/html/functions_m.html deleted file mode 100644 index fb6dbff0..00000000 --- a/doc/manual/html/functions_m.html +++ /dev/null @@ -1,133 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- m -

-
-
- - - - diff --git a/doc/manual/html/functions_n.html b/doc/manual/html/functions_n.html deleted file mode 100644 index c5b41f6c..00000000 --- a/doc/manual/html/functions_n.html +++ /dev/null @@ -1,242 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- n -

-
-
- - - - diff --git a/doc/manual/html/functions_o.html b/doc/manual/html/functions_o.html deleted file mode 100644 index d67caa96..00000000 --- a/doc/manual/html/functions_o.html +++ /dev/null @@ -1,145 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- o -

-
-
- - - - diff --git a/doc/manual/html/functions_p.html b/doc/manual/html/functions_p.html deleted file mode 100644 index f1dfda85..00000000 --- a/doc/manual/html/functions_p.html +++ /dev/null @@ -1,250 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- p -

-
-
- - - - diff --git a/doc/manual/html/functions_q.html b/doc/manual/html/functions_q.html deleted file mode 100644 index af39fafd..00000000 --- a/doc/manual/html/functions_q.html +++ /dev/null @@ -1,131 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- q -

-
-
- - - - diff --git a/doc/manual/html/functions_r.html b/doc/manual/html/functions_r.html deleted file mode 100644 index fe8c776e..00000000 --- a/doc/manual/html/functions_r.html +++ /dev/null @@ -1,288 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- r -

-
-
- - - - diff --git a/doc/manual/html/functions_s.html b/doc/manual/html/functions_s.html deleted file mode 100644 index 073811fa..00000000 --- a/doc/manual/html/functions_s.html +++ /dev/null @@ -1,243 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- s -

-
-
- - - - diff --git a/doc/manual/html/functions_t.html b/doc/manual/html/functions_t.html deleted file mode 100644 index 8563fa77..00000000 --- a/doc/manual/html/functions_t.html +++ /dev/null @@ -1,295 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- t -

-
-
- - - - diff --git a/doc/manual/html/functions_u.html b/doc/manual/html/functions_u.html deleted file mode 100644 index 98880036..00000000 --- a/doc/manual/html/functions_u.html +++ /dev/null @@ -1,109 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- u -

-
-
- - - - diff --git a/doc/manual/html/functions_v.html b/doc/manual/html/functions_v.html deleted file mode 100644 index 8d8fd399..00000000 --- a/doc/manual/html/functions_v.html +++ /dev/null @@ -1,124 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- v -

-
-
- - - - diff --git a/doc/manual/html/functions_vars.html b/doc/manual/html/functions_vars.html deleted file mode 100644 index ccfe76bb..00000000 --- a/doc/manual/html/functions_vars.html +++ /dev/null @@ -1,252 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- a -

-
-
- - - - diff --git a/doc/manual/html/functions_vars.js b/doc/manual/html/functions_vars.js deleted file mode 100644 index ee60074c..00000000 --- a/doc/manual/html/functions_vars.js +++ /dev/null @@ -1,27 +0,0 @@ -var functions_vars = -[ - [ "a", "functions_vars.html", null ], - [ "b", "functions_vars_b.html", null ], - [ "c", "functions_vars_c.html", null ], - [ "d", "functions_vars_d.html", null ], - [ "e", "functions_vars_e.html", null ], - [ "f", "functions_vars_f.html", null ], - [ "g", "functions_vars_g.html", null ], - [ "h", "functions_vars_h.html", null ], - [ "i", "functions_vars_i.html", null ], - [ "k", "functions_vars_k.html", null ], - [ "l", "functions_vars_l.html", null ], - [ "m", "functions_vars_m.html", null ], - [ "n", "functions_vars_n.html", null ], - [ "o", "functions_vars_o.html", null ], - [ "p", "functions_vars_p.html", null ], - [ "q", "functions_vars_q.html", null ], - [ "r", "functions_vars_r.html", null ], - [ "s", "functions_vars_s.html", null ], - [ "t", "functions_vars_t.html", null ], - [ "u", "functions_vars_u.html", null ], - [ "v", "functions_vars_v.html", null ], - [ "w", "functions_vars_w.html", null ], - [ "y", "functions_vars_y.html", null ], - [ "z", "functions_vars_z.html", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/functions_vars_b.html b/doc/manual/html/functions_vars_b.html deleted file mode 100644 index 20c44464..00000000 --- a/doc/manual/html/functions_vars_b.html +++ /dev/null @@ -1,145 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- b -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_c.html b/doc/manual/html/functions_vars_c.html deleted file mode 100644 index 2060b679..00000000 --- a/doc/manual/html/functions_vars_c.html +++ /dev/null @@ -1,229 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- c -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_d.html b/doc/manual/html/functions_vars_d.html deleted file mode 100644 index 68ba3e57..00000000 --- a/doc/manual/html/functions_vars_d.html +++ /dev/null @@ -1,182 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- d -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_e.html b/doc/manual/html/functions_vars_e.html deleted file mode 100644 index bf5ac2a3..00000000 --- a/doc/manual/html/functions_vars_e.html +++ /dev/null @@ -1,124 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- e -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_f.html b/doc/manual/html/functions_vars_f.html deleted file mode 100644 index b79cd3b7..00000000 --- a/doc/manual/html/functions_vars_f.html +++ /dev/null @@ -1,121 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- f -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_g.html b/doc/manual/html/functions_vars_g.html deleted file mode 100644 index 156e9ef3..00000000 --- a/doc/manual/html/functions_vars_g.html +++ /dev/null @@ -1,115 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- g -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_h.html b/doc/manual/html/functions_vars_h.html deleted file mode 100644 index dd9e2a48..00000000 --- a/doc/manual/html/functions_vars_h.html +++ /dev/null @@ -1,456 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- h -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_i.html b/doc/manual/html/functions_vars_i.html deleted file mode 100644 index a7113e95..00000000 --- a/doc/manual/html/functions_vars_i.html +++ /dev/null @@ -1,916 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- i -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_k.html b/doc/manual/html/functions_vars_k.html deleted file mode 100644 index 271c4e30..00000000 --- a/doc/manual/html/functions_vars_k.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- k -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_l.html b/doc/manual/html/functions_vars_l.html deleted file mode 100644 index 02cf2e8a..00000000 --- a/doc/manual/html/functions_vars_l.html +++ /dev/null @@ -1,252 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- l -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_m.html b/doc/manual/html/functions_vars_m.html deleted file mode 100644 index 2f502e46..00000000 --- a/doc/manual/html/functions_vars_m.html +++ /dev/null @@ -1,133 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- m -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_n.html b/doc/manual/html/functions_vars_n.html deleted file mode 100644 index 3cb4bfdd..00000000 --- a/doc/manual/html/functions_vars_n.html +++ /dev/null @@ -1,242 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- n -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_o.html b/doc/manual/html/functions_vars_o.html deleted file mode 100644 index 8f026df0..00000000 --- a/doc/manual/html/functions_vars_o.html +++ /dev/null @@ -1,145 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- o -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_p.html b/doc/manual/html/functions_vars_p.html deleted file mode 100644 index ae6b272c..00000000 --- a/doc/manual/html/functions_vars_p.html +++ /dev/null @@ -1,250 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- p -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_q.html b/doc/manual/html/functions_vars_q.html deleted file mode 100644 index 4d8662d9..00000000 --- a/doc/manual/html/functions_vars_q.html +++ /dev/null @@ -1,131 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- q -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_r.html b/doc/manual/html/functions_vars_r.html deleted file mode 100644 index d79ddbee..00000000 --- a/doc/manual/html/functions_vars_r.html +++ /dev/null @@ -1,288 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- r -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_s.html b/doc/manual/html/functions_vars_s.html deleted file mode 100644 index 7d5d3c75..00000000 --- a/doc/manual/html/functions_vars_s.html +++ /dev/null @@ -1,243 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- s -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_t.html b/doc/manual/html/functions_vars_t.html deleted file mode 100644 index 68b3a3d9..00000000 --- a/doc/manual/html/functions_vars_t.html +++ /dev/null @@ -1,295 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- t -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_u.html b/doc/manual/html/functions_vars_u.html deleted file mode 100644 index e919e6d9..00000000 --- a/doc/manual/html/functions_vars_u.html +++ /dev/null @@ -1,109 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- u -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_v.html b/doc/manual/html/functions_vars_v.html deleted file mode 100644 index 13e8aa72..00000000 --- a/doc/manual/html/functions_vars_v.html +++ /dev/null @@ -1,124 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- v -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_w.html b/doc/manual/html/functions_vars_w.html deleted file mode 100644 index cd82dcde..00000000 --- a/doc/manual/html/functions_vars_w.html +++ /dev/null @@ -1,127 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- w -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_y.html b/doc/manual/html/functions_vars_y.html deleted file mode 100644 index c32596e6..00000000 --- a/doc/manual/html/functions_vars_y.html +++ /dev/null @@ -1,104 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- y -

-
-
- - - - diff --git a/doc/manual/html/functions_vars_z.html b/doc/manual/html/functions_vars_z.html deleted file mode 100644 index 10ddfcb0..00000000 --- a/doc/manual/html/functions_vars_z.html +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - Variables - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- z -

-
-
- - - - diff --git a/doc/manual/html/functions_w.html b/doc/manual/html/functions_w.html deleted file mode 100644 index 3699c8d3..00000000 --- a/doc/manual/html/functions_w.html +++ /dev/null @@ -1,127 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- w -

-
-
- - - - diff --git a/doc/manual/html/functions_y.html b/doc/manual/html/functions_y.html deleted file mode 100644 index 7cc5ecd8..00000000 --- a/doc/manual/html/functions_y.html +++ /dev/null @@ -1,104 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- y -

-
-
- - - - diff --git a/doc/manual/html/functions_z.html b/doc/manual/html/functions_z.html deleted file mode 100644 index ad456b28..00000000 --- a/doc/manual/html/functions_z.html +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - -CLASS MANUAL: Data Fields - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:
- -

- z -

-
-
- - - - diff --git a/doc/manual/html/globals.html b/doc/manual/html/globals.html deleted file mode 100644 index 1bb71578..00000000 --- a/doc/manual/html/globals.html +++ /dev/null @@ -1,115 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- _ -

-
-
- - - - diff --git a/doc/manual/html/globals_b.html b/doc/manual/html/globals_b.html deleted file mode 100644 index 9dcb127f..00000000 --- a/doc/manual/html/globals_b.html +++ /dev/null @@ -1,157 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- b -

-
-
- - - - diff --git a/doc/manual/html/globals_c.html b/doc/manual/html/globals_c.html deleted file mode 100644 index 24a3e600..00000000 --- a/doc/manual/html/globals_c.html +++ /dev/null @@ -1,100 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- c -

    -
  • class_fzero_ridder() -: input.c -
    • -
-
-
- - - - diff --git a/doc/manual/html/globals_d.html b/doc/manual/html/globals_d.html deleted file mode 100644 index f9a02126..00000000 --- a/doc/manual/html/globals_d.html +++ /dev/null @@ -1,109 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- d -

-
-
- - - - diff --git a/doc/manual/html/globals_defs.html b/doc/manual/html/globals_defs.html deleted file mode 100644 index 2f4fadb7..00000000 --- a/doc/manual/html/globals_defs.html +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  -
-
- - - - diff --git a/doc/manual/html/globals_dup.js b/doc/manual/html/globals_dup.js deleted file mode 100644 index e6497bfe..00000000 --- a/doc/manual/html/globals_dup.js +++ /dev/null @@ -1,19 +0,0 @@ -var globals_dup = -[ - [ "_", "globals.html", null ], - [ "b", "globals_b.html", null ], - [ "c", "globals_c.html", null ], - [ "d", "globals_d.html", null ], - [ "e", "globals_e.html", null ], - [ "f", "globals_f.html", null ], - [ "g", "globals_g.html", null ], - [ "i", "globals_i.html", null ], - [ "l", "globals_l.html", null ], - [ "n", "globals_n.html", null ], - [ "o", "globals_o.html", null ], - [ "p", "globals_p.html", null ], - [ "r", "globals_r.html", null ], - [ "s", "globals_s.html", null ], - [ "t", "globals_t.html", null ], - [ "v", "globals_v.html", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/globals_e.html b/doc/manual/html/globals_e.html deleted file mode 100644 index c832aab4..00000000 --- a/doc/manual/html/globals_e.html +++ /dev/null @@ -1,103 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- e -

-
-
- - - - diff --git a/doc/manual/html/globals_enum.html b/doc/manual/html/globals_enum.html deleted file mode 100644 index a05b59b1..00000000 --- a/doc/manual/html/globals_enum.html +++ /dev/null @@ -1,158 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  -
-
- - - - diff --git a/doc/manual/html/globals_eval.html b/doc/manual/html/globals_eval.html deleted file mode 100644 index 00b4c6f8..00000000 --- a/doc/manual/html/globals_eval.html +++ /dev/null @@ -1,137 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  -
-
- - - - diff --git a/doc/manual/html/globals_f.html b/doc/manual/html/globals_f.html deleted file mode 100644 index 3365f00d..00000000 --- a/doc/manual/html/globals_f.html +++ /dev/null @@ -1,106 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- f -

-
-
- - - - diff --git a/doc/manual/html/globals_func.html b/doc/manual/html/globals_func.html deleted file mode 100644 index 07d52459..00000000 --- a/doc/manual/html/globals_func.html +++ /dev/null @@ -1,668 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-  - -

- b -

- - -

- c -

    -
  • class_fzero_ridder() -: input.c -
    • -
- - -

- g -

    -
  • get_machine_precision() -: input.c -
    • -
- - -

- i -

    -
  • input_default_params() -: input.c -
    • -
  • input_default_precision() -: input.c -
    • -
  • input_find_root() -: input.c -
    • -
  • input_get_guess() -: input.c -
    • -
  • input_init() -: input.c -
    • -
  • input_init_from_arguments() -: input.c -
    • -
  • input_prepare_pk_eq() -: input.c -
    • -
  • input_read_parameters() -: input.c -
    • -
  • input_try_unknown_parameters() -: input.c -
    • -
- - -

- l -

- - -

- n -

- - -

- o -

- - -

- p -

- - -

- s -

- - -

- t -

- - -

- v -

-
-
- - - - diff --git a/doc/manual/html/globals_g.html b/doc/manual/html/globals_g.html deleted file mode 100644 index 947daf47..00000000 --- a/doc/manual/html/globals_g.html +++ /dev/null @@ -1,100 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- g -

    -
  • get_machine_precision() -: input.c -
    • -
-
-
- - - - diff --git a/doc/manual/html/globals_i.html b/doc/manual/html/globals_i.html deleted file mode 100644 index 365efa74..00000000 --- a/doc/manual/html/globals_i.html +++ /dev/null @@ -1,130 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- i -

-
-
- - - - diff --git a/doc/manual/html/globals_l.html b/doc/manual/html/globals_l.html deleted file mode 100644 index 5d426d72..00000000 --- a/doc/manual/html/globals_l.html +++ /dev/null @@ -1,166 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- l -

-
-
- - - - diff --git a/doc/manual/html/globals_n.html b/doc/manual/html/globals_n.html deleted file mode 100644 index 77d56979..00000000 --- a/doc/manual/html/globals_n.html +++ /dev/null @@ -1,118 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- n -

-
-
- - - - diff --git a/doc/manual/html/globals_o.html b/doc/manual/html/globals_o.html deleted file mode 100644 index 3975b5b4..00000000 --- a/doc/manual/html/globals_o.html +++ /dev/null @@ -1,127 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- o -

-
-
- - - - diff --git a/doc/manual/html/globals_p.html b/doc/manual/html/globals_p.html deleted file mode 100644 index 4419079c..00000000 --- a/doc/manual/html/globals_p.html +++ /dev/null @@ -1,250 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- p -

-
-
- - - - diff --git a/doc/manual/html/globals_r.html b/doc/manual/html/globals_r.html deleted file mode 100644 index db694d02..00000000 --- a/doc/manual/html/globals_r.html +++ /dev/null @@ -1,133 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- r -

-
-
- - - - diff --git a/doc/manual/html/globals_s.html b/doc/manual/html/globals_s.html deleted file mode 100644 index 3728f53f..00000000 --- a/doc/manual/html/globals_s.html +++ /dev/null @@ -1,157 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- s -

-
-
- - - - diff --git a/doc/manual/html/globals_t.html b/doc/manual/html/globals_t.html deleted file mode 100644 index 8a6045a9..00000000 --- a/doc/manual/html/globals_t.html +++ /dev/null @@ -1,235 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- t -

-
-
- - - - diff --git a/doc/manual/html/globals_v.html b/doc/manual/html/globals_v.html deleted file mode 100644 index 07257b30..00000000 --- a/doc/manual/html/globals_v.html +++ /dev/null @@ -1,106 +0,0 @@ - - - - - - - -CLASS MANUAL: Globals - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:
- -

- v -

-
-
- - - - diff --git a/doc/manual/html/graph_legend.html b/doc/manual/html/graph_legend.html deleted file mode 100644 index 4c8e7fe1..00000000 --- a/doc/manual/html/graph_legend.html +++ /dev/null @@ -1,126 +0,0 @@ - - - - - - - -CLASS MANUAL: Graph Legend - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
Graph Legend
-
-
-

This page explains how to interpret the graphs that are generated by doxygen.

-

Consider the following example:

/*! Invisible class because of truncation */
class Invisible { };
/*! Truncated class, inheritance relation is hidden */
class Truncated : public Invisible { };
/* Class not documented with doxygen comments */
class Undocumented { };
/*! Class that is inherited using public inheritance */
class PublicBase : public Truncated { };
/*! A template class */
template<class T> class Templ { };
/*! Class that is inherited using protected inheritance */
class ProtectedBase { };
/*! Class that is inherited using private inheritance */
class PrivateBase { };
/*! Class that is used by the Inherited class */
class Used { };
/*! Super class that inherits a number of other classes */
class Inherited : public PublicBase,
protected ProtectedBase,
private PrivateBase,
public Undocumented,
public Templ<int>
{
private:
Used *m_usedClass;
};

This will result in the following graph:

-
- -
-

The boxes in the above graph have the following meaning:

-
    -
  • -A filled gray box represents the struct or class for which the graph is generated.
    • -
  • -A box with a black border denotes a documented struct or class.
    • -
  • -A box with a gray border denotes an undocumented struct or class.
    • -
  • -A box with a red border denotes a documented struct or class forwhich not all inheritance/containment relations are shown. A graph is truncated if it does not fit within the specified boundaries.
    • -
-

The arrows have the following meaning:

-
    -
  • -A dark blue arrow is used to visualize a public inheritance relation between two classes.
    • -
  • -A dark green arrow is used for protected inheritance.
    • -
  • -A dark red arrow is used for private inheritance.
    • -
  • -A purple dashed arrow is used if a class is contained or used by another class. The arrow is labelled with the variable(s) through which the pointed class or struct is accessible.
    • -
  • -A yellow dashed arrow denotes a relation between a template instance and the template class it was instantiated from. The arrow is labelled with the template parameters of the instance.
    • -
-
-
- - - - diff --git a/doc/manual/html/graph_legend.md5 b/doc/manual/html/graph_legend.md5 deleted file mode 100644 index b6f44f51..00000000 --- a/doc/manual/html/graph_legend.md5 +++ /dev/null @@ -1 +0,0 @@ -bc590f7814d4a5928660b951f90bd59b \ No newline at end of file diff --git a/doc/manual/html/graph_legend.png b/doc/manual/html/graph_legend.png deleted file mode 100644 index 6c1d0c23..00000000 Binary files a/doc/manual/html/graph_legend.png and /dev/null differ diff --git a/doc/manual/html/hermite3__interpolation__csource_8h_source.html b/doc/manual/html/hermite3__interpolation__csource_8h_source.html deleted file mode 100644 index e0b3ce80..00000000 --- a/doc/manual/html/hermite3__interpolation__csource_8h_source.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - -CLASS MANUAL: hermite3_interpolation_csource.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
hermite3_interpolation_csource.h
-
-
-
1 
10 int l = pHIS->l[lnum];
11 #if defined (HERMITE_DO_PHI)|| defined (HERMITE_DO_D2PHI)
12 double ym=0;
13 #endif
14 double yp=0, dyp=0, x;
15 double z[2]={0.,0.};
16 #ifdef HERMITE_DO_PHI
17 double a[3]={0.,0.};
18 #endif
19 #ifdef HERMITE_DO_DPHI
20 double b[3]={0.,0.};
21 #endif
22 #ifdef HERMITE_DO_D2PHI
23 double c[3]={0.,0.};
24 double d2ym = 0, d3yp=0;
25 double cotKm=0,sinKm=0;
26 double sinKm2;
27 #endif
28 #if defined (HERMITE_DO_DPHI) || defined (HERMITE_DO_D2PHI)
29 double dym=0;
30 double d2yp=0;
31 double cotKp=0,sinKp=0;
32 double sinKp2;
33 double *sinK = pHIS->sinK;
34 double *cotK = pHIS->cotK;
35 int K = pHIS->K;
36 double lxlp1 = l*(l+1.0);
37 double beta = pHIS->beta;
38 double beta2 = beta*beta;
39 #endif
40 double *xvec;
41 double xmin, xmax, deltax;
42 double left_border, right_border, next_border;
43 int j, nx, current_border_idx=0;
44 double *Phi_l, *dPhi_l;
45 int phisign = 1, dphisign = 1;
46 
52 xvec = pHIS->x;
53 deltax = pHIS->delta_x;
54 nx = pHIS->x_size;
55 Phi_l = pHIS->phi+lnum*nx;
56 dPhi_l = pHIS->dphi+lnum*nx;
57 
58 xmin = xvec[0];
59 xmax = xvec[nx-1];
60 
61 left_border = xmax;
62 right_border = xmin;
63 next_border = xmin;
64 
65 for (j=0; j<nxi; j++){
66  x = xinterp[j];
67  //take advantage of periodicity of functions in closed case
68  if (pHIS->K==1)
69  ClosedModY(l, (int)(pHIS->beta+0.2), &x, &phisign, &dphisign);
70  //Loop over output values
71  if ((x<xmin)||(x>xmax)){
72  //Outside interpolation region, set to zero.
73 #ifdef HERMITE_DO_PHI
74  Phi[j] = 0.0;
75 #endif
76 #ifdef HERMITE_DO_DPHI
77  dPhi[j] = 0.0;
78 #endif
79 #ifdef HERMITE_DO_D2PHI
80  d2Phi[j] = 0.0;
81 #endif
82  continue;
83  }
84  if ((x>right_border)||(x<left_border)){
85  if ((x>next_border)||(x<left_border)){
86  current_border_idx = ((int) ((x-xmin)/deltax))+1;
87  current_border_idx = MAX(1,current_border_idx);
88  current_border_idx = MIN(nx-1,current_border_idx);
89  //printf("Current border index at jump: %d\n",current_border_idx);
90  //max operation takes care of case x = xmin,
91  //min operation takes care of case x = xmax.
92  //Calculate left derivatives:
93 #if defined (HERMITE_DO_PHI) || defined (HERMITE_DO_D2PHI)
94  ym = Phi_l[current_border_idx-1];
95 #endif
96 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
97  dym = dPhi_l[current_border_idx-1];
98 #endif
99 #ifdef HERMITE_DO_D2PHI
100  cotKm = cotK[current_border_idx-1];
101  sinKm = sinK[current_border_idx-1];
102  sinKm2 = sinKm*sinKm;
103  d2ym = -2*dym*cotKm+ym*(lxlp1/sinKm2-beta2+K);
104 #endif
105  }
106  else{
107  //x>current_border but not next border: I have moved to next block.
108  current_border_idx++;
109  //printf("Current border index at else: %d\n",current_border_idx);
110  //Copy former right derivatives to left derivatives.
111 #if defined (HERMITE_DO_PHI) || defined (HERMITE_DO_D2PHI)
112  ym = yp;
113 #endif
114 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
115  dym = dyp;
116 #endif
117 #ifdef HERMITE_DO_D2PHI
118  d2ym = d2yp;
119  sinKm = sinKp;
120  cotKm = cotKp;
121 #endif
122  }
123  left_border = xvec[MAX(0,current_border_idx-1)];
124  right_border = xvec[current_border_idx];
125  next_border = xvec[MIN(nx-1,current_border_idx+1)];
126  //Evaluate right derivatives and calculate coefficients:
127  yp = Phi_l[current_border_idx];
128  dyp = dPhi_l[current_border_idx];
129 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
130  cotKp = cotK[current_border_idx];
131  sinKp = sinK[current_border_idx];
132  sinKp2 = sinKp*sinKp;
133  d2yp = -2*dyp*cotKp+yp*(lxlp1/sinKp2-beta2+K);
134 #endif
135 #ifdef HERMITE_DO_D2PHI
136  d3yp = -2*cotKp*d2yp-2*yp*lxlp1*cotKp/sinKp2+
137  dyp*(K-beta2+(2+lxlp1)/sinKp2);
138 #endif
139 
140 #ifdef HERMITE_DO_PHI
141  a[0] = -dyp*deltax-2*ym+2*yp;
142  a[1] = dyp*deltax+ym-yp;
143 #endif
144 #ifdef HERMITE_DO_DPHI
145  b[0] = -d2yp*deltax-2*dym+2*dyp;
146  b[1] = d2yp*deltax+dym-dyp;
147 #endif
148 #ifdef HERMITE_DO_D2PHI
149  c[0] = -d3yp*deltax-2*d2ym+2*d2yp;
150  c[1] = d3yp*deltax+d2ym-d2yp;
151 #endif
152  }
153  //Evaluate polynomial:
154  z[0] = (x-left_border)/deltax;
155  z[1] = z[0]*z[0];
156 #ifdef HERMITE_DO_PHI
157  Phi[j] = (ym+a[0]*z[0]+a[1]*z[1])*phisign;
158 #endif
159 #ifdef HERMITE_DO_DPHI
160  dPhi[j] = (dym+b[0]*z[0]+b[1]*z[1])*dphisign;
161 #endif
162 #ifdef HERMITE_DO_D2PHI
163  d2Phi[j] = (d2ym+c[0]*z[0]+c[1]*z[1])*phisign;
164 #endif
165  }
166 
-
- - - - diff --git a/doc/manual/html/hermite4__interpolation__csource_8h_source.html b/doc/manual/html/hermite4__interpolation__csource_8h_source.html deleted file mode 100644 index 72a746e1..00000000 --- a/doc/manual/html/hermite4__interpolation__csource_8h_source.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - -CLASS MANUAL: hermite4_interpolation_csource.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
hermite4_interpolation_csource.h
-
-
-
1 
10 int l = pHIS->l[lnum];
11 double ym=0, yp=0, dym=0, dyp=0, x;
12 double z[3]={0.,0.,0.};
13 #ifdef HERMITE_DO_PHI
14 double a[3]={0.,0.,0.};
15 #endif
16 #ifdef HERMITE_DO_DPHI
17 double b[3]={0.,0.,0.};
18 #endif
19 #ifdef HERMITE_DO_D2PHI
20 double c[3]={0.,0.,0.};
21 double d3ym=0, d3yp=0;
22 #endif
23 #if defined (HERMITE_DO_DPHI) || defined (HERMITE_DO_D2PHI)
24 double *sinK = pHIS->sinK;
25 double *cotK = pHIS->cotK;
26 double cotKm=0,cotKp=0,sinKm=0,sinKp=0;
27 double sinKm2, sinKp2;
28 double d2ym = 0, d2yp=0;
29 int K = pHIS->K;
30 double lxlp1 = l*(l+1.0);
31 double beta = pHIS->beta;
32 double beta2 = beta*beta;
33 #endif
34 double *xvec;
35 double xmin, xmax, deltax;
36 double left_border, right_border, next_border;
37 int j, nx, current_border_idx=0;
38 double *Phi_l, *dPhi_l;
39 int phisign = 1, dphisign = 1;
40 
46 xvec = pHIS->x;
47 deltax = pHIS->delta_x;
48 nx = pHIS->x_size;
49 Phi_l = pHIS->phi+lnum*nx;
50 dPhi_l = pHIS->dphi+lnum*nx;
51 
52 xmin = xvec[0];
53 xmax = xvec[nx-1];
54 
55 left_border = xmax;
56 right_border = xmin;
57 next_border = xmin;
58 
59 for (j=0; j<nxi; j++){
60  x = xinterp[j];
61  //take advantage of periodicity of functions in closed case
62  if (pHIS->K==1)
63  ClosedModY(l, (int)(pHIS->beta+0.2), &x, &phisign, &dphisign);
64  //Loop over output values
65  if ((x<xmin)||(x>xmax)){
66  //Outside interpolation region, set to zero.
67 #ifdef HERMITE_DO_PHI
68  Phi[j] = 0.0;
69 #endif
70 #ifdef HERMITE_DO_DPHI
71  dPhi[j] = 0.0;
72 #endif
73 #ifdef HERMITE_DO_D2PHI
74  d2Phi[j] = 0.0;
75 #endif
76  continue;
77  }
78  if ((x>right_border)||(x<left_border)){
79  if ((x>next_border)||(x<left_border)){
80  current_border_idx = ((int) ((x-xmin)/deltax))+1;
81  current_border_idx = MAX(1,current_border_idx);
82  current_border_idx = MIN(nx-1,current_border_idx);
83  //printf("Current border index at jump: %d\n",current_border_idx);
84  //max operation takes care of case x = xmin,
85  //min operation takes care of case x = xmax.
86  //Calculate left derivatives:
87  ym = Phi_l[current_border_idx-1];
88  dym = dPhi_l[current_border_idx-1];
89 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
90  cotKm = cotK[current_border_idx-1];
91  sinKm = sinK[current_border_idx-1];
92  sinKm2 = sinKm*sinKm;
93  d2ym = -2*dym*cotKm+ym*(lxlp1/sinKm2-beta2+K);
94 #endif
95 #ifdef HERMITE_DO_D2PHI
96  d3ym = -2*cotKm*d2ym-2*ym*lxlp1*cotKm/sinKm2+
97  dym*(K-beta2+(2+lxlp1)/sinKm2);
98 #endif
99  }
100  else{
101  //x>current_border but not next border: I have moved to next block.
102  current_border_idx++;
103  //printf("Current border index at else: %d\n",current_border_idx);
104  //Copy former right derivatives to left derivatives.
105  ym = yp;
106  dym = dyp;
107 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
108  d2ym = d2yp;
109  sinKm = sinKp;
110  cotKm = cotKp;
111 #endif
112 #ifdef HERMITE_DO_D2PHI
113  d3ym = d3yp;
114 #endif
115  }
116  left_border = xvec[MAX(0,current_border_idx-1)];
117  right_border = xvec[current_border_idx];
118  next_border = xvec[MIN(nx-1,current_border_idx+1)];
119  //Evaluate right derivatives and calculate coefficients:
120  yp = Phi_l[current_border_idx];
121  dyp = dPhi_l[current_border_idx];
122 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
123  cotKp = cotK[current_border_idx];
124  sinKp = sinK[current_border_idx];
125  sinKp2 = sinKp*sinKp;
126  d2yp = -2*dyp*cotKp+yp*(lxlp1/sinKp2-beta2+K);
127 #endif
128 #ifdef HERMITE_DO_D2PHI
129  d3yp = -2*cotKp*d2yp-2*yp*lxlp1*cotKp/sinKp2+
130  dyp*(K-beta2+(2+lxlp1)/sinKp2);
131 #endif
132 
133 #ifdef HERMITE_DO_PHI
134  a[0] = dym*deltax;
135  a[1] = -2*dym*deltax-dyp*deltax-3*ym+3*yp;
136  a[2] = dym*deltax+dyp*deltax+2*ym-2*yp;
137 #endif
138 #ifdef HERMITE_DO_DPHI
139  b[0] = d2ym*deltax;
140  b[1] = -2*d2ym*deltax-d2yp*deltax-3*dym+3*dyp;
141  b[2] = d2ym*deltax+d2yp*deltax+2*dym-2*dyp;
142 #endif
143 #ifdef HERMITE_DO_D2PHI
144  c[0] = d3ym*deltax;
145  c[1] = -2*d3ym*deltax-d3yp*deltax-3*d2ym+3*d2yp;
146  c[2] = d3ym*deltax+d3yp*deltax+2*d2ym-2*d2yp;
147 #endif
148  }
149  //Evaluate polynomial:
150  z[0] = (x-left_border)/deltax;
151  z[1] = z[0]*z[0];
152  z[2] = z[1]*z[0];
153 #ifdef HERMITE_DO_PHI
154  Phi[j] = (ym+a[0]*z[0]+a[1]*z[1]+a[2]*z[2])*phisign;
155 #endif
156 #ifdef HERMITE_DO_DPHI
157  dPhi[j] = (dym+b[0]*z[0]+b[1]*z[1]+b[2]*z[2])*dphisign;
158 #endif
159 #ifdef HERMITE_DO_D2PHI
160  d2Phi[j] = (d2ym+c[0]*z[0]+c[1]*z[1]+c[2]*z[2])*phisign;
161 #endif
162  }
163 
-
- - - - diff --git a/doc/manual/html/hermite6__interpolation__csource_8h_source.html b/doc/manual/html/hermite6__interpolation__csource_8h_source.html deleted file mode 100644 index fcba46c6..00000000 --- a/doc/manual/html/hermite6__interpolation__csource_8h_source.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - -CLASS MANUAL: hermite6_interpolation_csource.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
hermite6_interpolation_csource.h
-
-
-
1 
10 double ym=0, yp=0, dym=0, dyp=0, d2ym=0, d2yp=0, x, z, z2, z3, z4, z5;
11 double cotKm=0,cotKp=0,sinKm=0,sinKp=0, sinKm2, sinKp2;
12 #ifdef HERMITE_DO_PHI
13 double a1=0, a2=0, a3=0, a4=0, a5=0;
14 #endif
15 #ifdef HERMITE_DO_DPHI
16 double b1=0, b2=0, b3=0, b4=0, b5=0;
17 #endif
18 #ifdef HERMITE_DO_D2PHI
19 double c1=0, c2=0, c3=0, c4=0, c5=0;
20 double d4ym=0, d4yp=0;
21 #endif
22 #if defined (HERMITE_DO_DPHI) || defined (HERMITE_DO_D2PHI)
23 double d3ym = 0, d3yp=0;
24 #endif
25 double beta, beta2, *xvec, *sinK, *cotK;
26 double xmin, xmax, deltax, deltax2, lxlp1;
27 double left_border, right_border, next_border;
28 int K, l, j, nx, current_border_idx=0;
29 double *Phi_l, *dPhi_l;
30 int phisign = 1, dphisign = 1;
31 
37 xvec = pHIS->x;
38 sinK = pHIS->sinK;
39 cotK = pHIS->cotK;
40 beta = pHIS->beta;
41 beta2 = beta*beta;
42 deltax = pHIS->delta_x;
43 deltax2 = deltax*deltax;
44 K = pHIS->K;
45 nx = pHIS->x_size;
46 Phi_l = pHIS->phi+lnum*nx;
47 dPhi_l = pHIS->dphi+lnum*nx;
48 l = pHIS->l[lnum];
49 lxlp1 = l*(l+1.0);
50 xmin = xvec[0];
51 xmax = xvec[nx-1];
52 
53 left_border = xmax;
54 right_border = xmin;
55 next_border = xmin;
56 
57 for (j=0; j<nxi; j++){
58  x = xinterp[j];
59  //take advantage of periodicity of functions in closed case
60  if (pHIS->K==1)
61  ClosedModY(pHIS->l[lnum], (int)(pHIS->beta+0.2), &x, &phisign, &dphisign);
62  //Loop over output values
63  if ((x<xmin)||(x>xmax)){
64  //Outside interpolation region, set to zero.
65 #ifdef HERMITE_DO_PHI
66  Phi[j] = 0.0;
67 #endif
68 #ifdef HERMITE_DO_DPHI
69  dPhi[j] = 0.0;
70 #endif
71 #ifdef HERMITE_DO_D2PHI
72  d2Phi[j] = 0.0;
73 #endif
74  continue;
75  }
76  if ((x>right_border)||(x<left_border)){
77  if ((x>next_border)||(x<left_border)){
78  current_border_idx = ((int) ((x-xmin)/deltax))+1;
79  current_border_idx = MAX(1,current_border_idx);
80  current_border_idx = MIN(nx-1,current_border_idx);
81  //printf("Current border index at jump: %d\n",current_border_idx);
82  //max operation takes care of case x = xmin,
83  //min operation takes care of case x = xmax.
84  //Calculate left derivatives:
85  cotKm = cotK[current_border_idx-1];
86  sinKm = sinK[current_border_idx-1];
87  sinKm2 = sinKm*sinKm;
88  ym = Phi_l[current_border_idx-1];
89  dym = dPhi_l[current_border_idx-1];
90  d2ym = -2*dym*cotKm+ym*(lxlp1/sinKm2-beta2+K);
91 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
92  d3ym = -2*cotKm*d2ym-2*ym*lxlp1*cotKm/sinKm2+
93  dym*(K-beta2+(2+lxlp1)/sinKm2);
94 #endif
95 #ifdef HERMITE_DO_D2PHI
96  d4ym = -2*cotKm*d3ym + d2ym*(K-beta2+(4+lxlp1)/sinKm2)+
97  dym*(-4*(1+lxlp1)*cotKm/sinKm2)+
98  ym*(2*lxlp1/sinKm2*(2*cotKm*cotKm+1/sinKm2));
99 #endif
100  }
101  else{
102  //x>current_border but not next border: I have moved to next block.
103  current_border_idx++;
104  //printf("Current border index at else: %d\n",current_border_idx);
105  //Copy former right derivatives to left derivatives.
106  ym = yp;
107  dym = dyp;
108  d2ym = d2yp;
109 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
110  d3ym = d3yp;
111 #endif
112 #ifdef HERMITE_DO_D2PHI
113  d4ym = d4yp;
114 #endif
115  sinKm = sinKp;
116  cotKm = cotKp;
117  }
118  left_border = xvec[MAX(0,current_border_idx-1)];
119  right_border = xvec[current_border_idx];
120  next_border = xvec[MIN(nx-1,current_border_idx+1)];
121  //Evaluate right derivatives and calculate coefficients:
122  cotKp = cotK[current_border_idx];
123  sinKp = sinK[current_border_idx];
124  sinKp2 = sinKp*sinKp;
125  yp = Phi_l[current_border_idx];
126  dyp = dPhi_l[current_border_idx];
127  d2yp = -2*dyp*cotKp+yp*(lxlp1/sinKp2-beta2+K);
128 #if defined HERMITE_DO_DPHI || defined HERMITE_DO_D2PHI
129  d3yp = -2*cotKp*d2yp-2*yp*lxlp1*cotKp/sinKp2+
130  dyp*(K-beta2+(2+lxlp1)/sinKp2);
131 #endif
132 #ifdef HERMITE_DO_D2PHI
133  d4yp = -2*cotKp*d3yp + d2yp*(K-beta2+(4+lxlp1)/sinKp2)+
134  dyp*(-4*(1+lxlp1)*cotKp/sinKp2)+
135  yp*(2*lxlp1/sinKp2*(2*cotKp*cotKp+1/sinKp2));
136 #endif
137 
138 #ifdef HERMITE_DO_PHI
139  a1 = dym*deltax;
140  a2 = 0.5*d2ym*deltax2;
141  a3 = (-1.5*d2ym+0.5*d2yp)*deltax2-(6*dym+4*dyp)*deltax-10*(ym-yp);
142  a4 = (1.5*d2ym-d2yp)*deltax2+(8*dym+7*dyp)*deltax+15*(ym-yp);
143  a5 = (-0.5*d2ym+0.5*d2yp)*deltax2-3*(dym+dyp)*deltax-6*(ym-yp);
144 #endif
145 #ifdef HERMITE_DO_DPHI
146  b1 = d2ym*deltax;
147  b2 = 0.5*d3ym*deltax2;
148  b3 = (-1.5*d3ym+0.5*d3yp)*deltax2-(6*d2ym+4*d2yp)*deltax-10*(dym-dyp);
149  b4 = (1.5*d3ym-d3yp)*deltax2+(8*d2ym+7*d2yp)*deltax+15*(dym-dyp);
150  b5 = (-0.5*d3ym+0.5*d3yp)*deltax2-3*(d2ym+d2yp)*deltax-6*(dym-dyp);
151 #endif
152 #ifdef HERMITE_DO_D2PHI
153  c1 = d3ym*deltax;
154  c2 = 0.5*d4ym*deltax2;
155  c3 = (-1.5*d4ym+0.5*d4yp)*deltax2-(6*d3ym+4*d3yp)*deltax-10*(d2ym-d2yp);
156  c4 = (1.5*d4ym-d4yp)*deltax2+(8*d3ym+7*d3yp)*deltax+15*(d2ym-d2yp);
157  c5 = (-0.5*d4ym+0.5*d4yp)*deltax2-3*(d3ym+d3yp)*deltax-6*(d2ym-d2yp);
158 #endif
159  }
160  //Evaluate polynomial:
161  z = (x-left_border)/deltax;
162  z2 = z*z;
163  z3 = z2*z;
164  z4 = z2*z2;
165  z5 = z2*z3;
166 #ifdef HERMITE_DO_PHI
167  Phi[j] = (ym+a1*z+a2*z2+a3*z3+a4*z4+a5*z5)*phisign;
168 #endif
169 #ifdef HERMITE_DO_DPHI
170  dPhi[j] = (dym+b1*z+b2*z2+b3*z3+b4*z4+b5*z5)*dphisign;
171 #endif
172 #ifdef HERMITE_DO_D2PHI
173  d2Phi[j] = (d2ym+c1*z+c2*z2+c3*z3+c4*z4+c5*z5)*phisign;
174 #endif
175  }
176 
-
- - - - diff --git a/doc/manual/html/hyperspherical_8h_source.html b/doc/manual/html/hyperspherical_8h_source.html deleted file mode 100644 index 6bc76e64..00000000 --- a/doc/manual/html/hyperspherical_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: hyperspherical.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
hyperspherical.h
-
-
-
1 
5 #ifndef __HYPERSPHERICAL__
6 #define __HYPERSPHERICAL__
7 
8 #include "common.h"
9 #define _HYPER_OVERFLOW_ 1e200
10 #define _ONE_OVER_HYPER_OVERFLOW_ 1e-200
11 #define _HYPER_SAFETY_ 1e-5
12 #define _TRIG_PRECISSION_ 1e-7
13 #define _HYPER_BLOCK_ 8
14 #define _HYPER_CHUNK_ 16
15 #define _TWO_OVER_THREE_ 0.666666666666666666666666666667e0
16 #define _HIS_BYTE_ALIGNMENT_ 16
17 
18 typedef struct HypersphericalInterpolationStructure{
19  int K; //Sign of the curvature, (0,-1,1)
20  double beta;
21  double delta_x; //x-spacing. (xvec is uniformly spaced)
22  int trig_order; //Order of the interpolation formula for SinK and CosK.
23  int l_size; //Number of l values
24  int *l; //Vector of l values stored
25  double * chi_at_phimin; // vector x_min[index-l] below which neglect Bessels
26  int x_size; //Number of x-values
27  double *x; //Pointer to x-values
28  double *sinK; //Vector of sin_K(xvec)
29  double *cotK; //Vector of cot_K(xvec)
30  double *phi; //array of size nl*nx. [y_{l1}(x1) t_{l1}(x2)...]
31  double *dphi; //Same as phivec, but containing derivatives.
32 } HyperInterpStruct;
33 
34 struct WKB_parameters{
35  int K;
36  int l;
37  double beta;
38  double phiminabs;
39 };
40 
44 #ifdef __cplusplus
45 extern "C" {
46 #endif
47  int hyperspherical_HIS_create(int K,
48  double beta,
49  int nl,
50  int *lvec,
51  double xmin,
52  double xmax,
53  double sampling,
54  int l_WKB,
55  double phiminabs,
56  HyperInterpStruct *pHIS,
57  ErrorMsg error_message);
58 
59  int hyperspherical_HIS_free(HyperInterpStruct *pHIS, ErrorMsg error_message);
60  int hyperspherical_forwards_recurrence(int K,
61  int lmax,
62  double beta,
63  double x,
64  double sinK,
65  double cotK,
66  double *sqrtK,
67  double *one_over_sqrtK,
68  double *PhiL);
69 int hyperspherical_forwards_recurrence_chunk(int K,
70  int lmax,
71  double beta,
72  double * __restrict__ x,
73  double * __restrict__ sinK,
74  double * __restrict__ cotK,
75  int chunk,
76  double * __restrict__ sqrtK,
77  double * __restrict__ one_over_sqrtK,
78  double * __restrict__ PhiL);
79  int hyperspherical_backwards_recurrence(int K,
80  int lmax,
81  double beta,
82  double x,
83  double sinK,
84  double cotK,
85  double *sqrtK,
86  double *one_over_sqrtK,
87  double *PhiL);
88 
89  int hyperspherical_backwards_recurrence_chunk(int K,
90  int lmax,
91  double beta,
92  double * __restrict__ x,
93  double * __restrict__ sinK,
94  double * __restrict__ cotK,
95  int chunk,
96  double * __restrict__ sqrtK,
97  double * __restrict__ one_over_sqrtK,
98  double * __restrict__ PhiL);
99  int hyperspherical_get_xmin(HyperInterpStruct *pHIS,
100  double xtol,
101  double phiminabs,
102  double *xmin);
103 
104  int hyperspherical_WKB(int K,int l,double beta,double y, double *Phi);
105  int hyperspherical_WKB_vec(int l,
106  double beta,
107  double *sinK_vec,
108  int size_sinK_vec,
109  double *Phi);
110  int ClosedModY(int l, int beta, double *y, int * phisign, int * dphisign);
111  int get_CF1(int K,int l,double beta, double cotK, double *CF, int *isign);
112  int CF1_from_Gegenbauer(int l, int beta, double sinK, double cotK, double *CF);
113  double airy_cheb_approx(double z);
114  double coef1(double z);
115  double coef2(double z);
116  double coef3(double z);
117  double coef4(double z);
118  double cheb(double x, int n, const double A[]);
119  double get_value_at_small_phi(int K,int l,double beta,double Phi);
120 
121  double PhiWKB_minus_phiminabs(double x, void *param);
122 
123  int hyperspherical_get_xmin_from_Airy(int K,
124  int l,
125  double beta,
126  double xtol,
127  double phiminabs,
128  double *xmin,
129  int *fevals
130  );
131 
132  int fzero_ridder(double (*func)(double, void *),
133  double x1,
134  double x2,
135  double xtol,
136  void *param,
137  double *Fx1,
138  double *Fx2,
139  double *xzero,
140  int *fevals
141  );
142 
143  int HypersphericalExplicit(int K,int l, double beta,double x, double *Phi);
144 
145  int hyperspherical_get_xmin_from_approx(int K,
146  int l,
147  double nu,
148  double ignore1,
149  double phiminabs,
150  double *xmin,
151  int *ignore2);
152 
153  size_t hyperspherical_HIS_size(int nl, int nx);
154  int hyperspherical_update_pointers(HyperInterpStruct *pHIS_local,
155  void * HIS_storage_shared);
156 
157  int hyperspherical_Hermite_interpolation_vector(HyperInterpStruct *pHIS,
158  int nxi,
159  int lnum,
160  double *xinterp,
161  double *Phi,
162  double *dPhi,
163  double *d2Phi);
164 
165  int hyperspherical_Hermite3_interpolation_vector_Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi, ErrorMsg error_message);
166  int hyperspherical_Hermite3_interpolation_vector_dPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi, ErrorMsg error_message);
167  int hyperspherical_Hermite3_interpolation_vector_d2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *d2Phi, ErrorMsg error_message);
168  int hyperspherical_Hermite3_interpolation_vector_PhidPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi, ErrorMsg error_message);
169  int hyperspherical_Hermite3_interpolation_vector_Phid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *d2Phi, ErrorMsg error_message);
170  int hyperspherical_Hermite3_interpolation_vector_dPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi,double *d2Phi, ErrorMsg error_message);
171  int hyperspherical_Hermite3_interpolation_vector_PhidPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi,double *d2Phi, ErrorMsg error_message);
172  int hyperspherical_Hermite4_interpolation_vector_Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi, ErrorMsg error_message);
173  int hyperspherical_Hermite4_interpolation_vector_dPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi, ErrorMsg error_message);
174  int hyperspherical_Hermite4_interpolation_vector_d2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *d2Phi, ErrorMsg error_message);
175  int hyperspherical_Hermite4_interpolation_vector_PhidPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi, ErrorMsg error_message);
176  int hyperspherical_Hermite4_interpolation_vector_Phid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *d2Phi, ErrorMsg error_message);
177  int hyperspherical_Hermite4_interpolation_vector_dPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi,double *d2Phi, ErrorMsg error_message);
178  int hyperspherical_Hermite4_interpolation_vector_PhidPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi,double *d2Phi, ErrorMsg error_message);
179  int hyperspherical_Hermite6_interpolation_vector_Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi, ErrorMsg error_message);
180  int hyperspherical_Hermite6_interpolation_vector_dPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi, ErrorMsg error_message);
181  int hyperspherical_Hermite6_interpolation_vector_d2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *d2Phi, ErrorMsg error_message);
182  int hyperspherical_Hermite6_interpolation_vector_PhidPhi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi, ErrorMsg error_message);
183  int hyperspherical_Hermite6_interpolation_vector_Phid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *d2Phi, ErrorMsg error_message);
184  int hyperspherical_Hermite6_interpolation_vector_dPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *dPhi,double *d2Phi, ErrorMsg error_message);
185  int hyperspherical_Hermite6_interpolation_vector_PhidPhid2Phi(HyperInterpStruct *pHIS,int nxi,int lnum,double *xinterp,double *Phi,double *dPhi,double *d2Phi, ErrorMsg error_message);
186 
187 
188 #ifdef __cplusplus
189 }
190 #endif
191 
192 #endif
-
-
- - - - diff --git a/doc/manual/html/index.html b/doc/manual/html/index.html deleted file mode 100644 index 8879514e..00000000 --- a/doc/manual/html/index.html +++ /dev/null @@ -1,128 +0,0 @@ - - - - - - - -CLASS MANUAL: CLASS: Cosmic Linear Anisotropy Solving System - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
CLASS: Cosmic Linear Anisotropy Solving System
-
-
-

Authors: Julien Lesgourgues and Thomas Tram

-

with several major inputs from other people, especially Benjamin Audren, Simon Prunet, Jesus Torrado, Miguel Zumalacarregui, Francesco Montanari, etc.

-

For download and information, see http://class-code.net

-

Compiling CLASS and getting started

-

(the information below can also be found on the webpage, just below the download button)

-

Download the code from the webpage and unpack the archive (tar -zxvf class_vx.y.z.tar.gz), or clone it from https://github.com/lesgourg/class_public. Go to the class directory (cd class/ or class_public/ or class_vx.y.z/) and compile (make clean; make class). You can usually speed up compilation with the option -j: make -j class. If the first compilation attempt fails, you may need to open the Makefile and adapt the name of the compiler (default: gcc), of the optimization flag (default: -O4 -ffast-math) and of the OpenMP flag (default: -fopenmp; this flag is facultative, you are free to compile without OpenMP if you don't want parallel execution; note that you need the version 4.2 or higher of gcc to be able to compile with -fopenmp). Many more details on the CLASS compilation are given on the wiki page

-

https://github.com/lesgourg/class_public/wiki/Installation

-

(in particular, for compiling on Mac >= 10.9 despite of the clang incompatibility with OpenMP).

-

To check that the code runs, type: 

./class explanatory.ini
-

The explanatory.ini file is THE reference input file, containing and explaining the use of all possible input parameters. We recommend to read it, to keep it unchanged (for future reference), and to create for your own purposes some shorter input files, containing only the input lines which are useful for you. Input files must have a *.ini extension.

-

If you want to play with the precision/speed of the code, you can use one of the provided precision files (e.g. cl_permille.pre) or modify one of them, and run with two input files, for instance: 

./class test.ini cl_permille.pre
-

The files *.pre are suppposed to specify the precision parameters for which you don't want to keep default values. If you find it more convenient, you can pass these precision parameter values in your *.ini file instead of an additional *.pre file.

-

The automatically-generated documentation is located in 

doc/manual/html/index.html
-doc/manual/CLASS_manual.pdf
-

On top of that, if you wish to modify the code, you will find lots of comments directly in the files.

-

Python

-

To use CLASS from python, or ipython notebooks, or from the Monte Python parameter extraction code, you need to compile not only the code, but also its python wrapper. This can be done by typing just 'make' instead of 'make class' (or for speeding up: 'make -j'). More details on the wrapper and its compilation are found on the wiki page

-

https://github.com/lesgourg/class_public/wiki

-

Plotting utility

-

Since version 2.3, the package includes an improved plotting script called CPU.py (Class Plotting Utility), written by Benjamin Audren and Jesus Torrado. It can plot the Cl's, the P(k) or any other CLASS output, for one or several models, as well as their ratio or percentage difference. The syntax and list of available options is obtained by typing 'pyhton CPU.py -h'. There is a similar script for MATLAB, written by Thomas Tram. To use it, once in MATLAB, type 'help plot_CLASS_output.m'

-

Developing the code

-

If you want to develop the code, we suggest that you download it from the github webpage

-

https://github.com/lesgourg/class_public

-

rather than from class-code.net. Then you will enjoy all the feature of git repositories. You can even develop your own branch and get it merged to the public distribution. For related instructions, check

-

https://github.com/lesgourg/class_public/wiki/Public-Contributing

-

Using the code

-

You can use CLASS freely, provided that in your publications, you cite at least the paper CLASS II: Approximation schemes <http://arxiv.org/abs/1104.2933>. Feel free to cite more CLASS papers!

-

Support

-

To get support, please open a new issue on the

-

https://github.com/lesgourg/class_public

-

webpage!

-
-
- - - - diff --git a/doc/manual/html/input_8c.html b/doc/manual/html/input_8c.html deleted file mode 100644 index 3ee5b260..00000000 --- a/doc/manual/html/input_8c.html +++ /dev/null @@ -1,1003 +0,0 @@ - - - - - - - -CLASS MANUAL: input.c File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Functions
-
-
input.c File Reference
-
-
-
#include "input.h"
-
- + Include dependency graph for input.c:
-
-
- -
- - - - - - - - - - - - - - - - - - - - - - - -

-Functions

int input_init_from_arguments (int argc, char **argv, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
 
int input_init (struct file_content *pfc, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
 
int input_read_parameters (struct file_content *pfc, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
 
int input_default_params (struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop)
 
int input_default_precision (struct precision *ppr)
 
int get_machine_precision (double *smallest_allowed_variation)
 
int class_fzero_ridder (int(*func)(double x, void *param, double *y, ErrorMsg error_message), double x1, double x2, double xtol, void *param, double *Fx1, double *Fx2, double *xzero, int *fevals, ErrorMsg error_message)
 
int input_try_unknown_parameters (double *unknown_parameter, int unknown_parameters_size, void *voidpfzw, double *output, ErrorMsg errmsg)
 
int input_get_guess (double *xguess, double *dxdy, struct fzerofun_workspace *pfzw, ErrorMsg errmsg)
 
int input_find_root (double *xzero, int *fevals, struct fzerofun_workspace *pfzw, ErrorMsg errmsg)
 
int input_prepare_pk_eq (struct precision *ppr, struct background *pba, struct thermo *pth, struct nonlinear *pnl, int input_verbose, ErrorMsg errmsg)
 
-

Detailed Description

-

Documented input module.

-

Julien Lesgourgues, 27.08.2010

-

Function Documentation

- -

◆ input_init_from_arguments()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_init_from_arguments (int argc,
char ** argv,
struct precision * ppr,
struct background * pba,
struct thermo * pth,
struct perturbs * ppt,
struct transfers * ptr,
struct primordial * ppm,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple,
struct output * pop,
ErrorMsg errmsg 
)
-
-

Use this routine to extract initial parameters from files 'xxx.ini' and/or 'xxx.pre'. They can be the arguments of the main() routine.

-

If class is embedded into another code, you will probably prefer to call directly input_init() in order to pass input parameters through a 'file_content' structure.

-

Summary:

-
    -
  • define local variables
    • -
  • –> the final structure with all parameters
    • -
  • –> a temporary structure with all input parameters
    • -
  • –> a temporary structure with all precision parameters
    • -
  • –> a temporary structure with only the root name
    • -
  • –> sum of fc_inoput and fc_root
    • -
  • –> a pointer to either fc_root or fc_inputroot
    • -
  • Initialize the two file_content structures (for input parameters and precision parameters) to some null content. If no arguments are passed, they will remain null and inform init_params() that all parameters take default values.
    • -
  • If some arguments are passed, identify eventually some 'xxx.ini' and 'xxx.pre' files, and store their name.
    • -
  • if there is an 'xxx.ini' file, read it and store its content.
    • -
  • check whether a root name has been set
    • -
  • if root has not been set, use root=output/inputfilennameN_
    • -
  • if there is an 'xxx.pre' file, read it and store its content.
    • -
  • if one or two files were read, merge their contents in a single 'file_content' structure.
    • -
  • Finally, initialize all parameters given the input 'file_content' structure. If its size is null, all parameters take their default values.
    • -
- -
-
- -

◆ input_init()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_init (struct file_content * pfc,
struct precision * ppr,
struct background * pba,
struct thermo * pth,
struct perturbs * ppt,
struct transfers * ptr,
struct primordial * ppm,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple,
struct output * pop,
ErrorMsg errmsg 
)
-
-

Initialize each parameter, first to its default values, and then from what can be interpreted from the values passed in the input 'file_content' structure. If its size is null, all parameters keep their default values.

-

These two arrays must contain the strings of names to be searched for and the corresponding new parameter

-
    -
  • Do we need to fix unknown parameters?
    • -
  • –> input_auxillary_target_conditions() takes care of the case where for instance Omega_dcdmdr is set to 0.0.
    • -
  • case with unknown parameters
    • -
  • –> go through all cases with unknown parameters:
    • -
  • –> Read all parameters from tuned pfc
    • -
  • –> Set status of shooting
    • -
  • –> Free arrays allocated
    • -
  • case with no unknown parameters
    • -
  • –> just read all parameters from input pfc:
    • -
  • eventually write all the read parameters in a file, unread parameters in another file, and warnings about unread parameters
    • -
- -
-
- -

◆ input_read_parameters()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_read_parameters (struct file_content * pfc,
struct precision * ppr,
struct background * pba,
struct thermo * pth,
struct perturbs * ppt,
struct transfers * ptr,
struct primordial * ppm,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple,
struct output * pop,
ErrorMsg errmsg 
)
-
-

Summary:

-
    -
  • define local variables
    • -
  • set all parameters (input and precision) to default values
    • -
  • if entries passed in file_content structure, carefully read and interpret each of them, and tune the relevant input parameters accordingly
    • -
-

Knowing the gauge from the very beginning is useful (even if this could be a run not requiring perturbations at all: even in that case, knowing the gauge is important e.g. for fixing the sampling in momentum space for non-cold dark matter)

-

(a) background parameters

-
    -
  • scale factor today (arbitrary)
    • -
  • h (dimensionless) and [ $ H_0/c$] in $ Mpc^{-1} = h / 2997.9... = h * 10^5 / c $
    • -
  • Omega_0_g (photons) and T_cmb
    • -
  • Omega0_g = rho_g / rho_c0, each of them expressed in $ Kg/m/s^2 $
    • -
  • rho_g = (4 sigma_B / c) $ T^4 $
    • -
  • rho_c0 $ = 3 c^2 H_0^2 / (8 \pi G) $
    • -
  • Omega_0_b (baryons)
    • -
  • Omega_0_ur (ultra-relativistic species / massless neutrino)
    • -
  • Omega_0_cdm (CDM)
    • -
  • Omega_0_dcdmdr (DCDM)
    • -
  • Read Omega_ini_dcdm or omega_ini_dcdm
    • -
  • Read Gamma in same units as H0, i.e. km/(s Mpc)
    • -
  • non-cold relics (ncdm)
    • -
  • Omega_0_k (effective fractional density of curvature)
    • -
  • Set curvature parameter K
    • -
  • Set curvature sign
    • -
  • Omega_0_lambda (cosmological constant), Omega0_fld (dark energy fluid), Omega0_scf (scalar field)
    • -
  • –> (flag3 == FALSE) || (param3 >= 0.) explained: it means that either we have not read Omega_scf so we are ignoring it (unlike lambda and fld!) OR we have read it, but it had a positive value and should not be used for filling. We now proceed in two steps: 1) set each Omega0 and add to the total for each specified component. 2) go through the components in order {lambda, fld, scf} and fill using first unspecified component.
    • -
  • Test that the user have not specified Omega_scf = -1 but left either Omega_lambda or Omega_fld unspecified:
    • -
  • Read parameters describing scalar field potential
    • -
  • Assign shooting parameter
    • -
-

(b) assign values to thermodynamics cosmological parameters

-
    -
  • primordial helium fraction
    • -
  • recombination parameters
    • -
  • reionization parametrization
    • -
  • reionization parameters if reio_parametrization=reio_camb
    • -
  • reionization parameters if reio_parametrization=reio_bins_tanh
    • -
  • reionization parameters if reio_parametrization=reio_many_tanh
    • -
  • reionization parameters if reio_parametrization=reio_many_tanh
    • -
  • energy injection parameters from CDM annihilation/decay
    • -
-

(c) define which perturbations and sources should be computed, and down to which scale

-

(d) define the primordial spectrum

-

(e) parameters for final spectra

-

(f) parameter related to the non-linear spectra computation

-

(g) amount of information sent to standard output (none if all set to zero)

-

(h) all precision parameters

-
    -
  • (h.1.) parameters related to the background
    • -
  • (h.2.) parameters related to the thermodynamics
    • -
  • (h.3.) parameters related to the perturbations
    • -
  • —> Include ur and ncdm shear in tensor computation?
    • -
  • —> derivatives of baryon sound speed only computed if some non-minimal tight-coupling schemes is requested
    • -
  • (h.4.) parameter related to the primordial spectra
    • -
  • (h.5.) parameter related to the transfer functions
    • -
  • (h.6.) parameters related to nonlinear calculations
    • -
  • (h.7.) parameter related to lensing
    • -
-

(i) Write values in file

-
    -
  • (i.1.) shall we write background quantities in a file?
    • -
  • (i.2.) shall we write thermodynamics quantities in a file?
    • -
  • (i.3.) shall we write perturbation quantities in files?
    • -
  • (i.4.) shall we write primordial spectra in a file?
    • -
  • (i.5) special steps if we want Halofit with wa_fld non-zero: so-called "Pk_equal method" of 0810.0190 and 1601.07230
    • -
- -
-
- -

◆ input_default_params()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_default_params (struct background * pba,
struct thermo * pth,
struct perturbs * ppt,
struct transfers * ptr,
struct primordial * ppm,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple,
struct output * pop 
)
-
-

All default parameter values (for input parameters)

-
Parameters
- - - - - - - - - - -
pbaInput: pointer to background structure
pthInput: pointer to thermodynamics structure
pptInput: pointer to perturbation structure
ptrInput: pointer to transfer structure
ppmInput: pointer to primordial structure
pspInput: pointer to spectra structure
pnlInput: pointer to nonlinear structure
pleInput: pointer to lensing structure
popInput: pointer to output structure
-
-
-
Returns
the error status
-

Define all default parameter values (for input parameters) for each structure:

-
    -
  • background structure
    • -
  • thermodynamics structure
    • -
  • perturbation structure
    • -
  • primordial structure
    • -
  • transfer structure
    • -
  • output structure
    • -
  • spectra structure
    • -
  • nonlinear structure
    • -
  • lensing structure
    • -
  • nonlinear structure
    • -
  • all verbose parameters
    • -
- -
-
- -

◆ input_default_precision()

- -
-
- - - - - - - - -
int input_default_precision (struct precision * ppr)
-
-

Initialize the precision parameter structure.

-

All precision parameters used in the other modules are listed here and assigned here a default value.

-
Parameters
- - -
pprInput/Output: a precision_params structure pointer
-
-
-
Returns
the error status
-

Initialize presicion parameters for different structures:

    -
  • parameters related to the background
    • -
  • parameters related to the thermodynamics
    • -
  • parameters related to the perturbations
    • -
  • parameter related to the primordial spectra
    • -
  • parameter related to the transfer functions
    • -
  • parameters related to spectra module
    • -
  • parameters related to nonlinear module
    • -
  • parameter related to lensing
    • -
  • automatic estimate of machine precision
    • -
- -
-
- -

◆ get_machine_precision()

- -
-
- - - - - - - - -
int get_machine_precision (double * smallest_allowed_variation)
-
-

Automatically computes the machine precision.

-
Parameters
- - -
smallest_allowed_variationa pointer to the smallest allowed variation
-
-
-

Returns the smallest allowed variation (minimum epsilon * TOLVAR)

- -
-
- -

◆ class_fzero_ridder()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int class_fzero_ridder (int(*)(double x, void *param, double *y, ErrorMsg error_message) func,
double x1,
double x2,
double xtol,
void * param,
double * Fx1,
double * Fx2,
double * xzero,
int * fevals,
ErrorMsg error_message 
)
-
-

Using Ridders' method, return the root of a function func known to lie between x1 and x2. The root, returned as zriddr, will be found to an approximate accuracy xtol.

- -
-
- -

◆ input_try_unknown_parameters()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_try_unknown_parameters (double * unknown_parameter,
int unknown_parameters_size,
void * voidpfzw,
double * output,
ErrorMsg errmsg 
)
-
-

Summary:

    -
  • Call the structures
    • -
  • Optimise flags for sigma8 calculation.
    • -
  • Do computations
    • -
  • In case scalar field is used to fill, pba->Omega0_scf is not equal to pfzw->target_value[i].
    • -
  • Free structures
    • -
  • Set filecontent to unread
    • -
- -
-
- -

◆ input_get_guess()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_get_guess (double * xguess,
double * dxdy,
struct fzerofun_workspace * pfzw,
ErrorMsg errmsg 
)
-
-

Summary:

-
    -
  • Here we should write reasonable guesses for the unknown parameters. Also estimate dxdy, i.e. how the unknown parameter responds to the known. This can simply be estimated as the derivative of the guess formula.
    • -
  • Update pb to reflect guess
      -
    • This guess is arbitrary, something nice using WKB should be implemented.
      • -
    -
    • -
  • Version 2: use a fit: xguess[index_guess] = 1.77835*pow(ba.Omega0_scf,-2./7.); dxdy[index_guess] = -0.5081*pow(ba.Omega0_scf,-9./7.);
    • -
  • Version 3: use attractor solution
    • -
  • This works since correspondence is Omega_ini_dcdm -> Omega_dcdmdr and omega_ini_dcdm -> omega_dcdmdr
    • -
  • Deallocate everything allocated by input_read_parameters
    • -
- -
-
- -

◆ input_find_root()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_find_root (double * xzero,
int * fevals,
struct fzerofun_workspace * pfzw,
ErrorMsg errmsg 
)
-
-

Summary:

-
    -
  • Fisrt we do our guess
    • -
  • Do linear hunt for boundaries
    • -
  • root has been bracketed
    • -
  • Find root using Ridders method. (Exchange for bisection if you are old-school.)
    • -
- -
-
- -

◆ input_prepare_pk_eq()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int input_prepare_pk_eq (struct precision * ppr,
struct background * pba,
struct thermo * pth,
struct nonlinear * pnl,
int input_verbose,
ErrorMsg errmsg 
)
-
-

Perform preliminary steps fur using the method called Pk_equal, described in 0810.0190 and 1601.07230, extending the range of validity of HALOFIT from constant w to (w0,wa) models. In that case, one must compute here some effective values of w0_eff(z_i) and Omega_m_eff(z_i), that will be interpolated later at arbitrary redshift in the non-linear module.

-

Returns table of values [z_i, tau_i, w0_eff_i, Omega_m_eff_i] stored in nonlinear structure.

-
Parameters
- - - - - - - -
pprInput: pointer to precision structure
pbaInput: pointer to background structure
pthInput: pointer to thermodynamics structure
pnlInput/Output: pointer to nonlinear structure
input_verboseInput: verbosity of this input module
errmsgInput/Ouput: error message
-
-
-

Summary:

-
    -
  • define local variables
    • -
  • store the true cosmological parameters (w0, wa) somwhere before using temporarily some fake ones in this function
    • -
  • the fake calls of the background and thermodynamics module will be done in non-verbose mode
    • -
  • allocate indices and arrays for storing the results
    • -
  • call the background module in order to fill a table of tau_i[z_i]
      -
    • loop over z_i values. For each of them, we will call the background and thermodynamics module for fake models. The goal is to find, for each z_i, and effective w0_eff[z_i] and Omega_m_eff{z_i], such that: the true model with (w0,wa) and the equivalent model with (w0_eff[z_i],0) have the same conformal distance between z_i and z_recombination, namely chi = tau[z_i] - tau_rec. It is thus necessary to call both the background and thermodynamics module for each fake model and to re-compute tau_rec for each of them. Once the eqauivalent model is found we compute and store Omega_m_effa(z_i) of the equivalent model
      • -
    -
    • -
  • restore cosmological parameters (w0, wa) to their true values before main call to CLASS modules
    • -
  • spline the table for later interpolation
    • -
- -
-
-
-
- - - - diff --git a/doc/manual/html/input_8c.js b/doc/manual/html/input_8c.js deleted file mode 100644 index 286d9708..00000000 --- a/doc/manual/html/input_8c.js +++ /dev/null @@ -1,14 +0,0 @@ -var input_8c = -[ - [ "input_init_from_arguments", "input_8c.html#a40aecd22732b07db752cb4bc34e55ad4", null ], - [ "input_init", "input_8c.html#a31052a91cf14f73d6f2bb0e7874429fb", null ], - [ "input_read_parameters", "input_8c.html#a2ca13f55e0c5117997d052118a3395ae", null ], - [ "input_default_params", "input_8c.html#a86c37a81b14461fcee64801b0bddbc32", null ], - [ "input_default_precision", "input_8c.html#a4dea17257dd6912bde8032e322184e6f", null ], - [ "get_machine_precision", "input_8c.html#a0b2960329fe47db0b2793700ddd4a604", null ], - [ "class_fzero_ridder", "input_8c.html#a3fce286212c955b92a4cfd3f76194e2e", null ], - [ "input_try_unknown_parameters", "input_8c.html#a8902799b68422227ff6a3293ebd6bd94", null ], - [ "input_get_guess", "input_8c.html#a5faf7f188b4f34fd45b34e3eec302d12", null ], - [ "input_find_root", "input_8c.html#aee772d452d6a10313e151ffc9d4db8c5", null ], - [ "input_prepare_pk_eq", "input_8c.html#a978f28690f3030ff6b5f2f5f15310d03", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/input_8c__incl.map b/doc/manual/html/input_8c__incl.map deleted file mode 100644 index 89266294..00000000 --- a/doc/manual/html/input_8c__incl.map +++ /dev/null @@ -1,22 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8c__incl.md5 b/doc/manual/html/input_8c__incl.md5 deleted file mode 100644 index 5118ef6d..00000000 --- a/doc/manual/html/input_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -e77714524ce212bde292f52216dc687a \ No newline at end of file diff --git a/doc/manual/html/input_8c__incl.png b/doc/manual/html/input_8c__incl.png deleted file mode 100644 index 085a50c9..00000000 Binary files a/doc/manual/html/input_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.map b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.map deleted file mode 100644 index 9d51ac1f..00000000 --- a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.md5 b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.md5 deleted file mode 100644 index 87d74a03..00000000 --- a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2b4fe92de554166c7674df5b98a83653 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.png b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.png deleted file mode 100644 index 5ff6ace3..00000000 Binary files a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.map b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.map deleted file mode 100644 index 6ab48672..00000000 --- a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.md5 b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.md5 deleted file mode 100644 index ce2b13ee..00000000 --- a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f2e3d2302a64e981116dec85e6bb1755 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.png b/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.png deleted file mode 100644 index ea064e74..00000000 Binary files a/doc/manual/html/input_8c_a2ca13f55e0c5117997d052118a3395ae_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.map b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.map deleted file mode 100644 index d47af018..00000000 --- a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.map +++ /dev/null @@ -1,51 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.md5 b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.md5 deleted file mode 100644 index 71afe1d0..00000000 --- a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ca9cd8de63ac45ce0a732fb51bf7844b \ No newline at end of file diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.png b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.png deleted file mode 100644 index 6bdffb16..00000000 Binary files a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.map b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.map deleted file mode 100644 index 547fc783..00000000 --- a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.md5 b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.md5 deleted file mode 100644 index 7c83a789..00000000 --- a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6bc7aa41174dcb1573a9f01556c48c95 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.png b/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.png deleted file mode 100644 index 2c864c7a..00000000 Binary files a/doc/manual/html/input_8c_a31052a91cf14f73d6f2bb0e7874429fb_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.map b/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.map deleted file mode 100644 index 9ab29ebd..00000000 --- a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.md5 b/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.md5 deleted file mode 100644 index 4f7f3714..00000000 --- a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -80ce4dccbd05edf55556688691359115 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.png b/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.png deleted file mode 100644 index ac8764c5..00000000 Binary files a/doc/manual/html/input_8c_a3fce286212c955b92a4cfd3f76194e2e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.map b/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.map deleted file mode 100644 index 01bdcf03..00000000 --- a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.map +++ /dev/null @@ -1,51 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.md5 b/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.md5 deleted file mode 100644 index 01873366..00000000 --- a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3a7ae5cdc68a78ae713795a339329b71 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.png b/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.png deleted file mode 100644 index ef1523bf..00000000 Binary files a/doc/manual/html/input_8c_a40aecd22732b07db752cb4bc34e55ad4_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.map b/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.map deleted file mode 100644 index 2d1a92d8..00000000 --- a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.md5 b/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.md5 deleted file mode 100644 index e68d7205..00000000 --- a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e5f6e2d53e3f4984ee58fdf20f87f2e9 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.png b/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.png deleted file mode 100644 index 1314a3f6..00000000 Binary files a/doc/manual/html/input_8c_a4dea17257dd6912bde8032e322184e6f_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.map b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.map deleted file mode 100644 index 0e85196d..00000000 --- a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.md5 b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.md5 deleted file mode 100644 index ba4b5487..00000000 --- a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f51123815973eb255bc382f99d197aba \ No newline at end of file diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.png b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.png deleted file mode 100644 index 323be335..00000000 Binary files a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.map b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.map deleted file mode 100644 index 19e8ac2c..00000000 --- a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.md5 b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.md5 deleted file mode 100644 index 83016f85..00000000 --- a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ff231d6445583a65a5c93d39117af116 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.png b/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.png deleted file mode 100644 index f7361ec6..00000000 Binary files a/doc/manual/html/input_8c_a5faf7f188b4f34fd45b34e3eec302d12_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.map b/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.map deleted file mode 100644 index f7268cd1..00000000 --- a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.md5 b/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.md5 deleted file mode 100644 index 4ed09541..00000000 --- a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -28b3f9c675eca75bcaa04ab480e0a506 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.png b/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.png deleted file mode 100644 index faea6265..00000000 Binary files a/doc/manual/html/input_8c_a86c37a81b14461fcee64801b0bddbc32_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.map b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.map deleted file mode 100644 index d7907618..00000000 --- a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.map +++ /dev/null @@ -1,51 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.md5 b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.md5 deleted file mode 100644 index 18dbae34..00000000 --- a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7fdf95eecb3b4654e4ed5e6d699d5b1f \ No newline at end of file diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.png b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.png deleted file mode 100644 index 28621a15..00000000 Binary files a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.map b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.map deleted file mode 100644 index e9d3e453..00000000 --- a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.md5 b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.md5 deleted file mode 100644 index 0f19d552..00000000 --- a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a0d177d3316e529550fe27141e146519 \ No newline at end of file diff --git a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.png b/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.png deleted file mode 100644 index 348b2a58..00000000 Binary files a/doc/manual/html/input_8c_a8902799b68422227ff6a3293ebd6bd94_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.map b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.map deleted file mode 100644 index a62bee14..00000000 --- a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.md5 b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.md5 deleted file mode 100644 index ce9b1845..00000000 --- a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ccd4b9c2358bd46c4efd48225a3bdbfc \ No newline at end of file diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.png b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.png deleted file mode 100644 index 23413e3e..00000000 Binary files a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_cgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.map b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.map deleted file mode 100644 index 81f1bab9..00000000 --- a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.md5 b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.md5 deleted file mode 100644 index 90b72a43..00000000 --- a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ea27054608fe89c898dbc211f0368046 \ No newline at end of file diff --git a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.png b/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.png deleted file mode 100644 index 3b17eb00..00000000 Binary files a/doc/manual/html/input_8c_aee772d452d6a10313e151ffc9d4db8c5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/input_8h.html b/doc/manual/html/input_8h.html deleted file mode 100644 index 3df6e7b4..00000000 --- a/doc/manual/html/input_8h.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - - - -CLASS MANUAL: input.h File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Enumerations
-
-
input.h File Reference
-
-
-
#include "common.h"
-#include "parser.h"
-#include "quadrature.h"
-#include "background.h"
-#include "thermodynamics.h"
-#include "perturbations.h"
-#include "transfer.h"
-#include "primordial.h"
-#include "spectra.h"
-#include "nonlinear.h"
-#include "lensing.h"
-#include "output.h"
-
- + Include dependency graph for input.h:
-
-
- -
- + This graph shows which files directly or indirectly include this file:
-
-
- -
-

Go to the source code of this file.

- - - - -

-Enumerations

enum  target_names
 
-

Detailed Description

-

Documented includes for input module

-

Enumeration Type Documentation

- -

◆ target_names

- -
-
- - - - -
enum target_names
-
-

temporary parameters for background fzero function

- -
-
-
-
- - - - diff --git a/doc/manual/html/input_8h.js b/doc/manual/html/input_8h.js deleted file mode 100644 index a363c880..00000000 --- a/doc/manual/html/input_8h.js +++ /dev/null @@ -1,4 +0,0 @@ -var input_8h = -[ - [ "target_names", "input_8h.html#a2ab2421221f92f632c015f3d088f047c", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/input_8h__dep__incl.map b/doc/manual/html/input_8h__dep__incl.map deleted file mode 100644 index d5ba7dc5..00000000 --- a/doc/manual/html/input_8h__dep__incl.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/input_8h__dep__incl.md5 b/doc/manual/html/input_8h__dep__incl.md5 deleted file mode 100644 index 238795ed..00000000 --- a/doc/manual/html/input_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -4973ba2971840b55a46bab2963807ebe \ No newline at end of file diff --git a/doc/manual/html/input_8h__dep__incl.png b/doc/manual/html/input_8h__dep__incl.png deleted file mode 100644 index 409b37c4..00000000 Binary files a/doc/manual/html/input_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/input_8h__incl.map b/doc/manual/html/input_8h__incl.map deleted file mode 100644 index e744ebe5..00000000 --- a/doc/manual/html/input_8h__incl.map +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/input_8h__incl.md5 b/doc/manual/html/input_8h__incl.md5 deleted file mode 100644 index b1762914..00000000 --- a/doc/manual/html/input_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -0cb43a589300bc2173597712862a8eb8 \ No newline at end of file diff --git a/doc/manual/html/input_8h__incl.png b/doc/manual/html/input_8h__incl.png deleted file mode 100644 index 17eb8c8a..00000000 Binary files a/doc/manual/html/input_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/input_8h_source.html b/doc/manual/html/input_8h_source.html deleted file mode 100644 index a4e7e9eb..00000000 --- a/doc/manual/html/input_8h_source.html +++ /dev/null @@ -1,130 +0,0 @@ - - - - - - - -CLASS MANUAL: input.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
input.h
-
-
-Go to the documentation of this file.
1 
3 #ifndef __INPUT__
4 #define __INPUT__
5 
6 #include "common.h"
7 #include "parser.h"
8 #include "quadrature.h"
9 #include "background.h"
10 #include "thermodynamics.h"
11 #include "perturbations.h"
12 #include "transfer.h"
13 #include "primordial.h"
14 #include "spectra.h"
15 #include "nonlinear.h"
16 #include "lensing.h"
17 #include "output.h"
18 
19 /* macro for reading parameter values with routines from the parser */
20 #define class_read_double(name,destination) \
21  do { \
22  class_call(parser_read_double(pfc,name,&param1,&flag1,errmsg), \
23  errmsg, \
24  errmsg); \
25  if (flag1 == _TRUE_) \
26  destination = param1; \
27  } while(0);
28 
29 
30 #define class_read_int(name,destination) \
31  do { \
32  class_call(parser_read_int(pfc,name,&int1,&flag1,errmsg), \
33  errmsg, \
34  errmsg); \
35  if (flag1 == _TRUE_) \
36  destination = int1; \
37  } while(0);
38 
39 #define class_read_string(name,destination) \
40  do { \
41  class_call(parser_read_string(pfc,name,&string1,&flag1,errmsg), \
42  errmsg, \
43  errmsg); \
44  if (flag1 == _TRUE_) \
45  strcpy(destination,string1); \
46  } while(0);
47 
48 #define class_read_double_one_of_two(name1,name2,destination) \
49  do { \
50  class_call(parser_read_double(pfc,name1,&param1,&flag1,errmsg), \
51  errmsg, \
52  errmsg); \
53  class_call(parser_read_double(pfc,name2,&param2,&flag2,errmsg), \
54  errmsg, \
55  errmsg); \
56  class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), \
57  errmsg, \
58  "In input file, you can only enter one of %s, %s, choose one", \
59  name1,name2); \
60  if (flag1 == _TRUE_) \
61  destination = param1; \
62  if (flag2 == _TRUE_) \
63  destination = param2; \
64  } while(0);
65 
66 #define class_at_least_two_of_three(a,b,c) \
67  ((a == _TRUE_) && (b == _TRUE_)) || \
68  ((a == _TRUE_) && (c == _TRUE_)) || \
69  ((b == _TRUE_) && (c == _TRUE_))
70 
71 #define class_none_of_three(a,b,c) \
72  (a == _FALSE_) && (b == _FALSE_) && (c == _FALSE_)
73 
74 /* macro for reading parameter values with routines from the parser */
75 #define class_read_list_of_doubles_or_default(name,destination,default,siz) \
76  do { \
77  class_call(parser_read_list_of_doubles(pfc,name, \
78  &entries_read,&(destination),&flag1,errmsg), \
79  errmsg, \
80  errmsg); \
81  if (flag1 == _TRUE_){ \
82  class_test(entries_read != siz,errmsg, \
83  "Number of entries in %s, %d, does not match expected number, %d.", \
84  name,entries_read,siz); \
85  }else{ \
86  class_alloc(destination,siz*sizeof(double),errmsg); \
87  for(n=0; n<siz; n++) destination[n] = default; \
88  } \
89  } while(0);
90 
91 #define class_read_list_of_integers_or_default(name,destination,default,siz) \
92  do { \
93  class_call(parser_read_list_of_integers(pfc,name, \
94  &entries_read,&(destination),&flag1,errmsg), \
95  errmsg, \
96  errmsg); \
97  if (flag1 == _TRUE_){ \
98  class_test(entries_read != siz,errmsg, \
99  "Number of entries in %s, %d, does not match expected number, %d.", \
100  name,entries_read,siz); \
101  }else{ \
102  class_alloc(destination,siz*sizeof(int),errmsg); \
103  for(n=0; n<siz; n++) destination[n] = default; \
104  } \
105  } while(0);
106 
107 #define class_read_list_of_doubles(name,destination,siz) \
108  do { \
109  class_call(parser_read_list_of_doubles(pfc,name, \
110  &entries_read,&(destination),&flag1,errmsg), \
111  errmsg, \
112  errmsg); \
113  class_test(flag1 == _FALSE_,errmsg, \
114  "Entry %s is required but not found!",name) \
115  class_test(entries_read != siz,errmsg, \
116  "Number of entries in %s, %d, does not match expected number, %d.", \
117  name,entries_read,siz); \
118  } while(0);
119 
120 #define class_read_list_of_integers(name,destination,siz) \
121  do { \
122  class_call(parser_read_list_of_integers(pfc,name, \
123  &entries_read,&(destination),&flag1,errmsg), \
124  errmsg, \
125  errmsg); \
126  class_test(flag1 == _FALSE_,errmsg, \
127  "Entry %s is required but not found!",name) \
128  class_test(entries_read != siz,errmsg, \
129  "Number of entries in %s, %d, does not match expected number, %d.", \
130  name,entries_read,siz); \
131  } while(0);
132 
137 enum target_names {theta_s, Omega_dcdmdr, omega_dcdmdr, Omega_scf, Omega_ini_dcdm, omega_ini_dcdm, sigma8};
138 enum computation_stage {cs_background, cs_thermodynamics, cs_perturbations,
139  cs_primordial, cs_nonlinear, cs_transfer, cs_spectra};
140 #define _NUM_TARGETS_ 7 //Keep this number as number of target_names
141 
142 struct input_pprpba {
143  struct precision * ppr;
144  struct background * pba;
145 };
146 
147 struct fzerofun_workspace {
148  int * unknown_parameters_index;
149  struct file_content fc;
150  enum target_names * target_name;
151  double * target_value;
152  int target_size;
153  enum computation_stage required_computation_stage;
154 };
155 
156 
157 /**************************************************************/
158 /* @cond INCLUDE_WITH_DOXYGEN */
159 /*
160  * Boilerplate for C++
161  */
162 #ifdef __cplusplus
163 extern "C" {
164 #endif
165 
166  int input_init_from_arguments(
167  int argc,
168  char **argv,
169  struct precision * ppr,
170  struct background *pba,
171  struct thermo *pth,
172  struct perturbs *ppt,
173  struct transfers *ptr,
174  struct primordial *ppm,
175  struct spectra *psp,
176  struct nonlinear *pnl,
177  struct lensing *ple,
178  struct output *pop,
179  ErrorMsg errmsg
180  );
181 
182  int input_init(
183  struct file_content * pfc,
184  struct precision * ppr,
185  struct background *pba,
186  struct thermo *pth,
187  struct perturbs *ppt,
188  struct transfers *ptr,
189  struct primordial *ppm,
190  struct spectra *psp,
191  struct nonlinear *pnl,
192  struct lensing *ple,
193  struct output *pop,
194  ErrorMsg errmsg
195  );
196 
197  int input_read_parameters(
198  struct file_content * pfc,
199  struct precision * ppr,
200  struct background *pba,
201  struct thermo *pth,
202  struct perturbs *ppt,
203  struct transfers *ptr,
204  struct primordial *ppm,
205  struct spectra *psp,
206  struct nonlinear *pnl,
207  struct lensing *ple,
208  struct output *pop,
209  ErrorMsg errmsg
210  );
211 
212  int input_default_params(
213  struct background *pba,
214  struct thermo *pth,
215  struct perturbs *ppt,
216  struct transfers *ptr,
217  struct primordial *ppm,
218  struct spectra *psp,
219  struct nonlinear *pnl,
220  struct lensing *ple,
221  struct output *pop
222  );
223 
224  int input_default_precision(
225  struct precision * ppp
226  );
227 
228  int get_machine_precision(double * smallest_allowed_variation);
229 
230  int class_fzero_ridder(int (*func)(double x, void *param, double *y, ErrorMsg error_message),
231  double x1,
232  double x2,
233  double xtol,
234  void *param,
235  double *Fx1,
236  double *Fx2,
237  double *xzero,
238  int *fevals,
239  ErrorMsg error_message);
240 
241  int input_fzerofun_for_background(double Omega_ini_dcdm,
242  void* container,
243  double *valout,
244  ErrorMsg error_message);
245 
246  int input_try_unknown_parameters(double * unknown_parameter,
247  int unknown_parameters_size,
248  void * pfzw,
249  double * output,
250  ErrorMsg errmsg);
251 
252  int input_fzerofun_1d(double input,
253  void* fzerofun_workspace,
254  double *output,
255  ErrorMsg error_message);
256 
257  int input_get_guess(double *xguess,
258  double *dxdy,
259  struct fzerofun_workspace * pfzw,
260  ErrorMsg errmsg);
261 
262  int input_find_root(double *xzero,
263  int *fevals,
264  struct fzerofun_workspace *pfzw,
265  ErrorMsg errmsg);
266 
267  int file_exists(const char *fname);
268 
269  int input_auxillary_target_conditions(struct file_content * pfc,
270  enum target_names target_name,
271  double target_value,
272  int * aux_flag,
273  ErrorMsg error_message);
274 
275  int compare_integers (const void * elem1, const void * elem2);
276 
277  int compare_doubles(const void *a,const void *b);
278 
279  int input_prepare_pk_eq(
280  struct precision * ppr,
281  struct background *pba,
282  struct thermo *pth,
283  struct nonlinear *pnl,
284  int input_verbose,
285  ErrorMsg errmsg
286  );
287 
288 
289 #ifdef __cplusplus
290 }
291 #endif
292 
293 /**************************************************************/
294 
295 #endif
296 /* @endcond */
background
Definition: background.h:31
- -
class_fzero_ridder
int class_fzero_ridder(int(*func)(double x, void *param, double *y, ErrorMsg error_message), double x1, double x2, double xtol, void *param, double *Fx1, double *Fx2, double *xzero, int *fevals, ErrorMsg error_message)
Definition: input.c:3553
-
lensing
Definition: lensing.h:17
- - -
spectra
Definition: spectra.h:17
- -
perturbs
Definition: perturbations.h:95
-
input_init_from_arguments
int input_init_from_arguments(int argc, char **argv, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
Definition: input.c:17
-
thermo
Definition: thermodynamics.h:58
- -
input_read_parameters
int input_read_parameters(struct file_content *pfc, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
Definition: input.c:498
-
input_default_params
int input_default_params(struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop)
Definition: input.c:2912
-
target_names
target_names
Definition: input.h:137
-
input_find_root
int input_find_root(double *xzero, int *fevals, struct fzerofun_workspace *pfzw, ErrorMsg errmsg)
Definition: input.c:3994
-
input_get_guess
int input_get_guess(double *xguess, double *dxdy, struct fzerofun_workspace *pfzw, ErrorMsg errmsg)
Definition: input.c:3845
-
output
Definition: output.h:22
-
input_default_precision
int input_default_precision(struct precision *ppr)
Definition: input.c:3246
-
transfers
Definition: transfer.h:38
-
input_prepare_pk_eq
int input_prepare_pk_eq(struct precision *ppr, struct background *pba, struct thermo *pth, struct nonlinear *pnl, int input_verbose, ErrorMsg errmsg)
Definition: input.c:4146
- -
get_machine_precision
int get_machine_precision(double *smallest_allowed_variation)
Definition: input.c:3520
-
input_try_unknown_parameters
int input_try_unknown_parameters(double *unknown_parameter, int unknown_parameters_size, void *voidpfzw, double *output, ErrorMsg errmsg)
Definition: input.c:3638
- - - -
precision
Definition: common.h:345
-
primordial
Definition: primordial.h:79
- -
input_init
int input_init(struct file_content *pfc, struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop, ErrorMsg errmsg)
Definition: input.c:194
-
nonlinear
Definition: nonlinear.h:21
-
-
- - - - diff --git a/doc/manual/html/jquery.js b/doc/manual/html/jquery.js deleted file mode 100644 index f5343eda..00000000 --- a/doc/manual/html/jquery.js +++ /dev/null @@ -1,87 +0,0 @@ -/*! - * jQuery JavaScript Library v1.7.1 - * http://jquery.com/ - * - * Copyright 2011, John Resig - * Dual licensed under the MIT or GPL Version 2 licenses. - * http://jquery.org/license - * - * Includes Sizzle.js - * http://sizzlejs.com/ - * Copyright 2011, The Dojo Foundation - * Released under the MIT, BSD, and GPL Licenses. - * - * Date: Mon Nov 21 21:11:03 2011 -0500 - */ -(function(bb,L){var av=bb.document,bu=bb.navigator,bl=bb.location;var b=(function(){var bF=function(b0,b1){return new bF.fn.init(b0,b1,bD)},bU=bb.jQuery,bH=bb.$,bD,bY=/^(?:[^#<]*(<[\w\W]+>)[^>]*$|#([\w\-]*)$)/,bM=/\S/,bI=/^\s+/,bE=/\s+$/,bA=/^<(\w+)\s*\/?>(?:<\/\1>)?$/,bN=/^[\],:{}\s]*$/,bW=/\\(?:["\\\/bfnrt]|u[0-9a-fA-F]{4})/g,bP=/"[^"\\\n\r]*"|true|false|null|-?\d+(?:\.\d*)?(?:[eE][+\-]?\d+)?/g,bJ=/(?:^|:|,)(?:\s*\[)+/g,by=/(webkit)[ \/]([\w.]+)/,bR=/(opera)(?:.*version)?[ \/]([\w.]+)/,bQ=/(msie) ([\w.]+)/,bS=/(mozilla)(?:.*? rv:([\w.]+))?/,bB=/-([a-z]|[0-9])/ig,bZ=/^-ms-/,bT=function(b0,b1){return(b1+"").toUpperCase()},bX=bu.userAgent,bV,bC,e,bL=Object.prototype.toString,bG=Object.prototype.hasOwnProperty,bz=Array.prototype.push,bK=Array.prototype.slice,bO=String.prototype.trim,bv=Array.prototype.indexOf,bx={};bF.fn=bF.prototype={constructor:bF,init:function(b0,b4,b3){var b2,b5,b1,b6;if(!b0){return this}if(b0.nodeType){this.context=this[0]=b0;this.length=1;return this}if(b0==="body"&&!b4&&av.body){this.context=av;this[0]=av.body;this.selector=b0;this.length=1;return this}if(typeof b0==="string"){if(b0.charAt(0)==="<"&&b0.charAt(b0.length-1)===">"&&b0.length>=3){b2=[null,b0,null]}else{b2=bY.exec(b0)}if(b2&&(b2[1]||!b4)){if(b2[1]){b4=b4 instanceof bF?b4[0]:b4;b6=(b4?b4.ownerDocument||b4:av);b1=bA.exec(b0);if(b1){if(bF.isPlainObject(b4)){b0=[av.createElement(b1[1])];bF.fn.attr.call(b0,b4,true)}else{b0=[b6.createElement(b1[1])]}}else{b1=bF.buildFragment([b2[1]],[b6]);b0=(b1.cacheable?bF.clone(b1.fragment):b1.fragment).childNodes}return bF.merge(this,b0)}else{b5=av.getElementById(b2[2]);if(b5&&b5.parentNode){if(b5.id!==b2[2]){return b3.find(b0)}this.length=1;this[0]=b5}this.context=av;this.selector=b0;return this}}else{if(!b4||b4.jquery){return(b4||b3).find(b0)}else{return this.constructor(b4).find(b0)}}}else{if(bF.isFunction(b0)){return b3.ready(b0)}}if(b0.selector!==L){this.selector=b0.selector;this.context=b0.context}return bF.makeArray(b0,this)},selector:"",jquery:"1.7.1",length:0,size:function(){return this.length},toArray:function(){return bK.call(this,0)},get:function(b0){return b0==null?this.toArray():(b0<0?this[this.length+b0]:this[b0])},pushStack:function(b1,b3,b0){var b2=this.constructor();if(bF.isArray(b1)){bz.apply(b2,b1)}else{bF.merge(b2,b1)}b2.prevObject=this;b2.context=this.context;if(b3==="find"){b2.selector=this.selector+(this.selector?" ":"")+b0}else{if(b3){b2.selector=this.selector+"."+b3+"("+b0+")"}}return b2},each:function(b1,b0){return bF.each(this,b1,b0)},ready:function(b0){bF.bindReady();bC.add(b0);return this},eq:function(b0){b0=+b0;return b0===-1?this.slice(b0):this.slice(b0,b0+1)},first:function(){return this.eq(0)},last:function(){return this.eq(-1)},slice:function(){return this.pushStack(bK.apply(this,arguments),"slice",bK.call(arguments).join(","))},map:function(b0){return this.pushStack(bF.map(this,function(b2,b1){return b0.call(b2,b1,b2)}))},end:function(){return this.prevObject||this.constructor(null)},push:bz,sort:[].sort,splice:[].splice};bF.fn.init.prototype=bF.fn;bF.extend=bF.fn.extend=function(){var b9,b2,b0,b1,b6,b7,b5=arguments[0]||{},b4=1,b3=arguments.length,b8=false;if(typeof b5==="boolean"){b8=b5;b5=arguments[1]||{};b4=2}if(typeof b5!=="object"&&!bF.isFunction(b5)){b5={}}if(b3===b4){b5=this;--b4}for(;b40){return}bC.fireWith(av,[bF]);if(bF.fn.trigger){bF(av).trigger("ready").off("ready")}}},bindReady:function(){if(bC){return}bC=bF.Callbacks("once memory");if(av.readyState==="complete"){return setTimeout(bF.ready,1)}if(av.addEventListener){av.addEventListener("DOMContentLoaded",e,false);bb.addEventListener("load",bF.ready,false)}else{if(av.attachEvent){av.attachEvent("onreadystatechange",e);bb.attachEvent("onload",bF.ready);var b0=false;try{b0=bb.frameElement==null}catch(b1){}if(av.documentElement.doScroll&&b0){bw()}}}},isFunction:function(b0){return bF.type(b0)==="function"},isArray:Array.isArray||function(b0){return bF.type(b0)==="array"},isWindow:function(b0){return b0&&typeof b0==="object"&&"setInterval" in b0},isNumeric:function(b0){return !isNaN(parseFloat(b0))&&isFinite(b0)},type:function(b0){return b0==null?String(b0):bx[bL.call(b0)]||"object"},isPlainObject:function(b2){if(!b2||bF.type(b2)!=="object"||b2.nodeType||bF.isWindow(b2)){return false}try{if(b2.constructor&&!bG.call(b2,"constructor")&&!bG.call(b2.constructor.prototype,"isPrototypeOf")){return false}}catch(b1){return false}var b0;for(b0 in b2){}return b0===L||bG.call(b2,b0)},isEmptyObject:function(b1){for(var b0 in b1){return false}return true},error:function(b0){throw new Error(b0)},parseJSON:function(b0){if(typeof b0!=="string"||!b0){return null}b0=bF.trim(b0);if(bb.JSON&&bb.JSON.parse){return bb.JSON.parse(b0)}if(bN.test(b0.replace(bW,"@").replace(bP,"]").replace(bJ,""))){return(new Function("return "+b0))()}bF.error("Invalid JSON: "+b0)},parseXML:function(b2){var b0,b1;try{if(bb.DOMParser){b1=new DOMParser();b0=b1.parseFromString(b2,"text/xml")}else{b0=new ActiveXObject("Microsoft.XMLDOM");b0.async="false";b0.loadXML(b2)}}catch(b3){b0=L}if(!b0||!b0.documentElement||b0.getElementsByTagName("parsererror").length){bF.error("Invalid XML: "+b2)}return b0},noop:function(){},globalEval:function(b0){if(b0&&bM.test(b0)){(bb.execScript||function(b1){bb["eval"].call(bb,b1)})(b0)}},camelCase:function(b0){return b0.replace(bZ,"ms-").replace(bB,bT)},nodeName:function(b1,b0){return b1.nodeName&&b1.nodeName.toUpperCase()===b0.toUpperCase()},each:function(b3,b6,b2){var b1,b4=0,b5=b3.length,b0=b5===L||bF.isFunction(b3);if(b2){if(b0){for(b1 in b3){if(b6.apply(b3[b1],b2)===false){break}}}else{for(;b40&&b0[0]&&b0[b1-1])||b1===0||bF.isArray(b0));if(b3){for(;b21?aJ.call(arguments,0):bG;if(!(--bw)){bC.resolveWith(bC,bx)}}}function bz(bF){return function(bG){bB[bF]=arguments.length>1?aJ.call(arguments,0):bG;bC.notifyWith(bE,bB)}}if(e>1){for(;bv
a";bI=bv.getElementsByTagName("*");bF=bv.getElementsByTagName("a")[0];if(!bI||!bI.length||!bF){return{}}bG=av.createElement("select");bx=bG.appendChild(av.createElement("option"));bE=bv.getElementsByTagName("input")[0];bJ={leadingWhitespace:(bv.firstChild.nodeType===3),tbody:!bv.getElementsByTagName("tbody").length,htmlSerialize:!!bv.getElementsByTagName("link").length,style:/top/.test(bF.getAttribute("style")),hrefNormalized:(bF.getAttribute("href")==="/a"),opacity:/^0.55/.test(bF.style.opacity),cssFloat:!!bF.style.cssFloat,checkOn:(bE.value==="on"),optSelected:bx.selected,getSetAttribute:bv.className!=="t",enctype:!!av.createElement("form").enctype,html5Clone:av.createElement("nav").cloneNode(true).outerHTML!=="<:nav>",submitBubbles:true,changeBubbles:true,focusinBubbles:false,deleteExpando:true,noCloneEvent:true,inlineBlockNeedsLayout:false,shrinkWrapBlocks:false,reliableMarginRight:true};bE.checked=true;bJ.noCloneChecked=bE.cloneNode(true).checked;bG.disabled=true;bJ.optDisabled=!bx.disabled;try{delete bv.test}catch(bC){bJ.deleteExpando=false}if(!bv.addEventListener&&bv.attachEvent&&bv.fireEvent){bv.attachEvent("onclick",function(){bJ.noCloneEvent=false});bv.cloneNode(true).fireEvent("onclick")}bE=av.createElement("input");bE.value="t";bE.setAttribute("type","radio");bJ.radioValue=bE.value==="t";bE.setAttribute("checked","checked");bv.appendChild(bE);bD=av.createDocumentFragment();bD.appendChild(bv.lastChild);bJ.checkClone=bD.cloneNode(true).cloneNode(true).lastChild.checked;bJ.appendChecked=bE.checked;bD.removeChild(bE);bD.appendChild(bv);bv.innerHTML="";if(bb.getComputedStyle){bA=av.createElement("div");bA.style.width="0";bA.style.marginRight="0";bv.style.width="2px";bv.appendChild(bA);bJ.reliableMarginRight=(parseInt((bb.getComputedStyle(bA,null)||{marginRight:0}).marginRight,10)||0)===0}if(bv.attachEvent){for(by in {submit:1,change:1,focusin:1}){bB="on"+by;bw=(bB in bv);if(!bw){bv.setAttribute(bB,"return;");bw=(typeof bv[bB]==="function")}bJ[by+"Bubbles"]=bw}}bD.removeChild(bv);bD=bG=bx=bA=bv=bE=null;b(function(){var bM,bU,bV,bT,bN,bO,bL,bS,bR,e,bP,bQ=av.getElementsByTagName("body")[0];if(!bQ){return}bL=1;bS="position:absolute;top:0;left:0;width:1px;height:1px;margin:0;";bR="visibility:hidden;border:0;";e="style='"+bS+"border:5px solid #000;padding:0;'";bP="
";bM=av.createElement("div");bM.style.cssText=bR+"width:0;height:0;position:static;top:0;margin-top:"+bL+"px";bQ.insertBefore(bM,bQ.firstChild);bv=av.createElement("div");bM.appendChild(bv);bv.innerHTML="
t
";bz=bv.getElementsByTagName("td");bw=(bz[0].offsetHeight===0);bz[0].style.display="";bz[1].style.display="none";bJ.reliableHiddenOffsets=bw&&(bz[0].offsetHeight===0);bv.innerHTML="";bv.style.width=bv.style.paddingLeft="1px";b.boxModel=bJ.boxModel=bv.offsetWidth===2;if(typeof bv.style.zoom!=="undefined"){bv.style.display="inline";bv.style.zoom=1;bJ.inlineBlockNeedsLayout=(bv.offsetWidth===2);bv.style.display="";bv.innerHTML="
";bJ.shrinkWrapBlocks=(bv.offsetWidth!==2)}bv.style.cssText=bS+bR;bv.innerHTML=bP;bU=bv.firstChild;bV=bU.firstChild;bN=bU.nextSibling.firstChild.firstChild;bO={doesNotAddBorder:(bV.offsetTop!==5),doesAddBorderForTableAndCells:(bN.offsetTop===5)};bV.style.position="fixed";bV.style.top="20px";bO.fixedPosition=(bV.offsetTop===20||bV.offsetTop===15);bV.style.position=bV.style.top="";bU.style.overflow="hidden";bU.style.position="relative";bO.subtractsBorderForOverflowNotVisible=(bV.offsetTop===-5);bO.doesNotIncludeMarginInBodyOffset=(bQ.offsetTop!==bL);bQ.removeChild(bM);bv=bM=null;b.extend(bJ,bO)});return bJ})();var aS=/^(?:\{.*\}|\[.*\])$/,aA=/([A-Z])/g;b.extend({cache:{},uuid:0,expando:"jQuery"+(b.fn.jquery+Math.random()).replace(/\D/g,""),noData:{embed:true,object:"clsid:D27CDB6E-AE6D-11cf-96B8-444553540000",applet:true},hasData:function(e){e=e.nodeType?b.cache[e[b.expando]]:e[b.expando];return !!e&&!S(e)},data:function(bx,bv,bz,by){if(!b.acceptData(bx)){return}var bG,bA,bD,bE=b.expando,bC=typeof bv==="string",bF=bx.nodeType,e=bF?b.cache:bx,bw=bF?bx[bE]:bx[bE]&&bE,bB=bv==="events";if((!bw||!e[bw]||(!bB&&!by&&!e[bw].data))&&bC&&bz===L){return}if(!bw){if(bF){bx[bE]=bw=++b.uuid}else{bw=bE}}if(!e[bw]){e[bw]={};if(!bF){e[bw].toJSON=b.noop}}if(typeof bv==="object"||typeof bv==="function"){if(by){e[bw]=b.extend(e[bw],bv)}else{e[bw].data=b.extend(e[bw].data,bv)}}bG=bA=e[bw];if(!by){if(!bA.data){bA.data={}}bA=bA.data}if(bz!==L){bA[b.camelCase(bv)]=bz}if(bB&&!bA[bv]){return bG.events}if(bC){bD=bA[bv];if(bD==null){bD=bA[b.camelCase(bv)]}}else{bD=bA}return bD},removeData:function(bx,bv,by){if(!b.acceptData(bx)){return}var bB,bA,bz,bC=b.expando,bD=bx.nodeType,e=bD?b.cache:bx,bw=bD?bx[bC]:bC;if(!e[bw]){return}if(bv){bB=by?e[bw]:e[bw].data;if(bB){if(!b.isArray(bv)){if(bv in bB){bv=[bv]}else{bv=b.camelCase(bv);if(bv in bB){bv=[bv]}else{bv=bv.split(" ")}}}for(bA=0,bz=bv.length;bA-1){return true}}return false},val:function(bx){var e,bv,by,bw=this[0];if(!arguments.length){if(bw){e=b.valHooks[bw.nodeName.toLowerCase()]||b.valHooks[bw.type];if(e&&"get" in e&&(bv=e.get(bw,"value"))!==L){return bv}bv=bw.value;return typeof bv==="string"?bv.replace(aU,""):bv==null?"":bv}return}by=b.isFunction(bx);return this.each(function(bA){var bz=b(this),bB;if(this.nodeType!==1){return}if(by){bB=bx.call(this,bA,bz.val())}else{bB=bx}if(bB==null){bB=""}else{if(typeof bB==="number"){bB+=""}else{if(b.isArray(bB)){bB=b.map(bB,function(bC){return bC==null?"":bC+""})}}}e=b.valHooks[this.nodeName.toLowerCase()]||b.valHooks[this.type];if(!e||!("set" in e)||e.set(this,bB,"value")===L){this.value=bB}})}});b.extend({valHooks:{option:{get:function(e){var bv=e.attributes.value;return !bv||bv.specified?e.value:e.text}},select:{get:function(e){var bA,bv,bz,bx,by=e.selectedIndex,bB=[],bC=e.options,bw=e.type==="select-one";if(by<0){return null}bv=bw?by:0;bz=bw?by+1:bC.length;for(;bv=0});if(!e.length){bv.selectedIndex=-1}return e}}},attrFn:{val:true,css:true,html:true,text:true,data:true,width:true,height:true,offset:true},attr:function(bA,bx,bB,bz){var bw,e,by,bv=bA.nodeType;if(!bA||bv===3||bv===8||bv===2){return}if(bz&&bx in b.attrFn){return b(bA)[bx](bB)}if(typeof bA.getAttribute==="undefined"){return b.prop(bA,bx,bB)}by=bv!==1||!b.isXMLDoc(bA);if(by){bx=bx.toLowerCase();e=b.attrHooks[bx]||(ao.test(bx)?aY:be)}if(bB!==L){if(bB===null){b.removeAttr(bA,bx);return}else{if(e&&"set" in e&&by&&(bw=e.set(bA,bB,bx))!==L){return bw}else{bA.setAttribute(bx,""+bB);return bB}}}else{if(e&&"get" in e&&by&&(bw=e.get(bA,bx))!==null){return bw}else{bw=bA.getAttribute(bx);return bw===null?L:bw}}},removeAttr:function(bx,bz){var by,bA,bv,e,bw=0;if(bz&&bx.nodeType===1){bA=bz.toLowerCase().split(af);e=bA.length;for(;bw=0)}}})});var bd=/^(?:textarea|input|select)$/i,n=/^([^\.]*)?(?:\.(.+))?$/,J=/\bhover(\.\S+)?\b/,aO=/^key/,bf=/^(?:mouse|contextmenu)|click/,T=/^(?:focusinfocus|focusoutblur)$/,U=/^(\w*)(?:#([\w\-]+))?(?:\.([\w\-]+))?$/,Y=function(e){var bv=U.exec(e);if(bv){bv[1]=(bv[1]||"").toLowerCase();bv[3]=bv[3]&&new RegExp("(?:^|\\s)"+bv[3]+"(?:\\s|$)")}return bv},j=function(bw,e){var bv=bw.attributes||{};return((!e[1]||bw.nodeName.toLowerCase()===e[1])&&(!e[2]||(bv.id||{}).value===e[2])&&(!e[3]||e[3].test((bv["class"]||{}).value)))},bt=function(e){return b.event.special.hover?e:e.replace(J,"mouseenter$1 mouseleave$1")};b.event={add:function(bx,bC,bJ,bA,by){var bD,bB,bK,bI,bH,bF,e,bG,bv,bz,bw,bE;if(bx.nodeType===3||bx.nodeType===8||!bC||!bJ||!(bD=b._data(bx))){return}if(bJ.handler){bv=bJ;bJ=bv.handler}if(!bJ.guid){bJ.guid=b.guid++}bK=bD.events;if(!bK){bD.events=bK={}}bB=bD.handle;if(!bB){bD.handle=bB=function(bL){return typeof b!=="undefined"&&(!bL||b.event.triggered!==bL.type)?b.event.dispatch.apply(bB.elem,arguments):L};bB.elem=bx}bC=b.trim(bt(bC)).split(" ");for(bI=0;bI=0){bG=bG.slice(0,-1);bw=true}if(bG.indexOf(".")>=0){bx=bG.split(".");bG=bx.shift();bx.sort()}if((!bA||b.event.customEvent[bG])&&!b.event.global[bG]){return}bv=typeof bv==="object"?bv[b.expando]?bv:new b.Event(bG,bv):new b.Event(bG);bv.type=bG;bv.isTrigger=true;bv.exclusive=bw;bv.namespace=bx.join(".");bv.namespace_re=bv.namespace?new RegExp("(^|\\.)"+bx.join("\\.(?:.*\\.)?")+"(\\.|$)"):null;by=bG.indexOf(":")<0?"on"+bG:"";if(!bA){e=b.cache;for(bC in e){if(e[bC].events&&e[bC].events[bG]){b.event.trigger(bv,bD,e[bC].handle.elem,true)}}return}bv.result=L;if(!bv.target){bv.target=bA}bD=bD!=null?b.makeArray(bD):[];bD.unshift(bv);bF=b.event.special[bG]||{};if(bF.trigger&&bF.trigger.apply(bA,bD)===false){return}bB=[[bA,bF.bindType||bG]];if(!bJ&&!bF.noBubble&&!b.isWindow(bA)){bI=bF.delegateType||bG;bH=T.test(bI+bG)?bA:bA.parentNode;bz=null;for(;bH;bH=bH.parentNode){bB.push([bH,bI]);bz=bH}if(bz&&bz===bA.ownerDocument){bB.push([bz.defaultView||bz.parentWindow||bb,bI])}}for(bC=0;bCbA){bH.push({elem:this,matches:bz.slice(bA)})}for(bC=0;bC0?this.on(e,null,bx,bw):this.trigger(e)};if(b.attrFn){b.attrFn[e]=true}if(aO.test(e)){b.event.fixHooks[e]=b.event.keyHooks}if(bf.test(e)){b.event.fixHooks[e]=b.event.mouseHooks}}); -/*! - * Sizzle CSS Selector Engine - * Copyright 2011, The Dojo Foundation - * Released under the MIT, BSD, and GPL Licenses. - * More information: http://sizzlejs.com/ - */ -(function(){var bH=/((?:\((?:\([^()]+\)|[^()]+)+\)|\[(?:\[[^\[\]]*\]|['"][^'"]*['"]|[^\[\]'"]+)+\]|\\.|[^ >+~,(\[\\]+)+|[>+~])(\s*,\s*)?((?:.|\r|\n)*)/g,bC="sizcache"+(Math.random()+"").replace(".",""),bI=0,bL=Object.prototype.toString,bB=false,bA=true,bK=/\\/g,bO=/\r\n/g,bQ=/\W/;[0,0].sort(function(){bA=false;return 0});var by=function(bV,e,bY,bZ){bY=bY||[];e=e||av;var b1=e;if(e.nodeType!==1&&e.nodeType!==9){return[]}if(!bV||typeof bV!=="string"){return bY}var bS,b3,b6,bR,b2,b5,b4,bX,bU=true,bT=by.isXML(e),bW=[],b0=bV;do{bH.exec("");bS=bH.exec(b0);if(bS){b0=bS[3];bW.push(bS[1]);if(bS[2]){bR=bS[3];break}}}while(bS);if(bW.length>1&&bD.exec(bV)){if(bW.length===2&&bE.relative[bW[0]]){b3=bM(bW[0]+bW[1],e,bZ)}else{b3=bE.relative[bW[0]]?[e]:by(bW.shift(),e);while(bW.length){bV=bW.shift();if(bE.relative[bV]){bV+=bW.shift()}b3=bM(bV,b3,bZ)}}}else{if(!bZ&&bW.length>1&&e.nodeType===9&&!bT&&bE.match.ID.test(bW[0])&&!bE.match.ID.test(bW[bW.length-1])){b2=by.find(bW.shift(),e,bT);e=b2.expr?by.filter(b2.expr,b2.set)[0]:b2.set[0]}if(e){b2=bZ?{expr:bW.pop(),set:bF(bZ)}:by.find(bW.pop(),bW.length===1&&(bW[0]==="~"||bW[0]==="+")&&e.parentNode?e.parentNode:e,bT);b3=b2.expr?by.filter(b2.expr,b2.set):b2.set;if(bW.length>0){b6=bF(b3)}else{bU=false}while(bW.length){b5=bW.pop();b4=b5;if(!bE.relative[b5]){b5=""}else{b4=bW.pop()}if(b4==null){b4=e}bE.relative[b5](b6,b4,bT)}}else{b6=bW=[]}}if(!b6){b6=b3}if(!b6){by.error(b5||bV)}if(bL.call(b6)==="[object Array]"){if(!bU){bY.push.apply(bY,b6)}else{if(e&&e.nodeType===1){for(bX=0;b6[bX]!=null;bX++){if(b6[bX]&&(b6[bX]===true||b6[bX].nodeType===1&&by.contains(e,b6[bX]))){bY.push(b3[bX])}}}else{for(bX=0;b6[bX]!=null;bX++){if(b6[bX]&&b6[bX].nodeType===1){bY.push(b3[bX])}}}}}else{bF(b6,bY)}if(bR){by(bR,b1,bY,bZ);by.uniqueSort(bY)}return bY};by.uniqueSort=function(bR){if(bJ){bB=bA;bR.sort(bJ);if(bB){for(var e=1;e0};by.find=function(bX,e,bY){var bW,bS,bU,bT,bV,bR;if(!bX){return[]}for(bS=0,bU=bE.order.length;bS":function(bW,bR){var bV,bU=typeof bR==="string",bS=0,e=bW.length;if(bU&&!bQ.test(bR)){bR=bR.toLowerCase();for(;bS=0)){if(!bS){e.push(bV)}}else{if(bS){bR[bU]=false}}}}return false},ID:function(e){return e[1].replace(bK,"")},TAG:function(bR,e){return bR[1].replace(bK,"").toLowerCase()},CHILD:function(e){if(e[1]==="nth"){if(!e[2]){by.error(e[0])}e[2]=e[2].replace(/^\+|\s*/g,"");var bR=/(-?)(\d*)(?:n([+\-]?\d*))?/.exec(e[2]==="even"&&"2n"||e[2]==="odd"&&"2n+1"||!/\D/.test(e[2])&&"0n+"+e[2]||e[2]);e[2]=(bR[1]+(bR[2]||1))-0;e[3]=bR[3]-0}else{if(e[2]){by.error(e[0])}}e[0]=bI++;return e},ATTR:function(bU,bR,bS,e,bV,bW){var bT=bU[1]=bU[1].replace(bK,"");if(!bW&&bE.attrMap[bT]){bU[1]=bE.attrMap[bT]}bU[4]=(bU[4]||bU[5]||"").replace(bK,"");if(bU[2]==="~="){bU[4]=" "+bU[4]+" "}return bU},PSEUDO:function(bU,bR,bS,e,bV){if(bU[1]==="not"){if((bH.exec(bU[3])||"").length>1||/^\w/.test(bU[3])){bU[3]=by(bU[3],null,null,bR)}else{var bT=by.filter(bU[3],bR,bS,true^bV);if(!bS){e.push.apply(e,bT)}return false}}else{if(bE.match.POS.test(bU[0])||bE.match.CHILD.test(bU[0])){return true}}return bU},POS:function(e){e.unshift(true);return e}},filters:{enabled:function(e){return e.disabled===false&&e.type!=="hidden"},disabled:function(e){return e.disabled===true},checked:function(e){return e.checked===true},selected:function(e){if(e.parentNode){e.parentNode.selectedIndex}return e.selected===true},parent:function(e){return !!e.firstChild},empty:function(e){return !e.firstChild},has:function(bS,bR,e){return !!by(e[3],bS).length},header:function(e){return(/h\d/i).test(e.nodeName)},text:function(bS){var e=bS.getAttribute("type"),bR=bS.type;return bS.nodeName.toLowerCase()==="input"&&"text"===bR&&(e===bR||e===null)},radio:function(e){return e.nodeName.toLowerCase()==="input"&&"radio"===e.type},checkbox:function(e){return e.nodeName.toLowerCase()==="input"&&"checkbox"===e.type},file:function(e){return e.nodeName.toLowerCase()==="input"&&"file"===e.type},password:function(e){return e.nodeName.toLowerCase()==="input"&&"password"===e.type},submit:function(bR){var e=bR.nodeName.toLowerCase();return(e==="input"||e==="button")&&"submit"===bR.type},image:function(e){return e.nodeName.toLowerCase()==="input"&&"image"===e.type},reset:function(bR){var e=bR.nodeName.toLowerCase();return(e==="input"||e==="button")&&"reset"===bR.type},button:function(bR){var e=bR.nodeName.toLowerCase();return e==="input"&&"button"===bR.type||e==="button"},input:function(e){return(/input|select|textarea|button/i).test(e.nodeName)},focus:function(e){return e===e.ownerDocument.activeElement}},setFilters:{first:function(bR,e){return e===0},last:function(bS,bR,e,bT){return bR===bT.length-1},even:function(bR,e){return e%2===0},odd:function(bR,e){return e%2===1},lt:function(bS,bR,e){return bRe[3]-0},nth:function(bS,bR,e){return e[3]-0===bR},eq:function(bS,bR,e){return e[3]-0===bR}},filter:{PSEUDO:function(bS,bX,bW,bY){var e=bX[1],bR=bE.filters[e];if(bR){return bR(bS,bW,bX,bY)}else{if(e==="contains"){return(bS.textContent||bS.innerText||bw([bS])||"").indexOf(bX[3])>=0}else{if(e==="not"){var bT=bX[3];for(var bV=0,bU=bT.length;bV=0)}}},ID:function(bR,e){return bR.nodeType===1&&bR.getAttribute("id")===e},TAG:function(bR,e){return(e==="*"&&bR.nodeType===1)||!!bR.nodeName&&bR.nodeName.toLowerCase()===e},CLASS:function(bR,e){return(" "+(bR.className||bR.getAttribute("class"))+" ").indexOf(e)>-1},ATTR:function(bV,bT){var bS=bT[1],e=by.attr?by.attr(bV,bS):bE.attrHandle[bS]?bE.attrHandle[bS](bV):bV[bS]!=null?bV[bS]:bV.getAttribute(bS),bW=e+"",bU=bT[2],bR=bT[4];return e==null?bU==="!=":!bU&&by.attr?e!=null:bU==="="?bW===bR:bU==="*="?bW.indexOf(bR)>=0:bU==="~="?(" "+bW+" ").indexOf(bR)>=0:!bR?bW&&e!==false:bU==="!="?bW!==bR:bU==="^="?bW.indexOf(bR)===0:bU==="$="?bW.substr(bW.length-bR.length)===bR:bU==="|="?bW===bR||bW.substr(0,bR.length+1)===bR+"-":false},POS:function(bU,bR,bS,bV){var e=bR[2],bT=bE.setFilters[e];if(bT){return bT(bU,bS,bR,bV)}}}};var bD=bE.match.POS,bx=function(bR,e){return"\\"+(e-0+1)};for(var bz in bE.match){bE.match[bz]=new RegExp(bE.match[bz].source+(/(?![^\[]*\])(?![^\(]*\))/.source));bE.leftMatch[bz]=new RegExp(/(^(?:.|\r|\n)*?)/.source+bE.match[bz].source.replace(/\\(\d+)/g,bx))}var bF=function(bR,e){bR=Array.prototype.slice.call(bR,0);if(e){e.push.apply(e,bR);return e}return bR};try{Array.prototype.slice.call(av.documentElement.childNodes,0)[0].nodeType}catch(bP){bF=function(bU,bT){var bS=0,bR=bT||[];if(bL.call(bU)==="[object Array]"){Array.prototype.push.apply(bR,bU)}else{if(typeof bU.length==="number"){for(var e=bU.length;bS";e.insertBefore(bR,e.firstChild);if(av.getElementById(bS)){bE.find.ID=function(bU,bV,bW){if(typeof bV.getElementById!=="undefined"&&!bW){var bT=bV.getElementById(bU[1]);return bT?bT.id===bU[1]||typeof bT.getAttributeNode!=="undefined"&&bT.getAttributeNode("id").nodeValue===bU[1]?[bT]:L:[]}};bE.filter.ID=function(bV,bT){var bU=typeof bV.getAttributeNode!=="undefined"&&bV.getAttributeNode("id");return bV.nodeType===1&&bU&&bU.nodeValue===bT}}e.removeChild(bR);e=bR=null})();(function(){var e=av.createElement("div");e.appendChild(av.createComment(""));if(e.getElementsByTagName("*").length>0){bE.find.TAG=function(bR,bV){var bU=bV.getElementsByTagName(bR[1]);if(bR[1]==="*"){var bT=[];for(var bS=0;bU[bS];bS++){if(bU[bS].nodeType===1){bT.push(bU[bS])}}bU=bT}return bU}}e.innerHTML="";if(e.firstChild&&typeof e.firstChild.getAttribute!=="undefined"&&e.firstChild.getAttribute("href")!=="#"){bE.attrHandle.href=function(bR){return bR.getAttribute("href",2)}}e=null})();if(av.querySelectorAll){(function(){var e=by,bT=av.createElement("div"),bS="__sizzle__";bT.innerHTML="

";if(bT.querySelectorAll&&bT.querySelectorAll(".TEST").length===0){return}by=function(b4,bV,bZ,b3){bV=bV||av;if(!b3&&!by.isXML(bV)){var b2=/^(\w+$)|^\.([\w\-]+$)|^#([\w\-]+$)/.exec(b4);if(b2&&(bV.nodeType===1||bV.nodeType===9)){if(b2[1]){return bF(bV.getElementsByTagName(b4),bZ)}else{if(b2[2]&&bE.find.CLASS&&bV.getElementsByClassName){return bF(bV.getElementsByClassName(b2[2]),bZ)}}}if(bV.nodeType===9){if(b4==="body"&&bV.body){return bF([bV.body],bZ)}else{if(b2&&b2[3]){var bY=bV.getElementById(b2[3]);if(bY&&bY.parentNode){if(bY.id===b2[3]){return bF([bY],bZ)}}else{return bF([],bZ)}}}try{return bF(bV.querySelectorAll(b4),bZ)}catch(b0){}}else{if(bV.nodeType===1&&bV.nodeName.toLowerCase()!=="object"){var bW=bV,bX=bV.getAttribute("id"),bU=bX||bS,b6=bV.parentNode,b5=/^\s*[+~]/.test(b4);if(!bX){bV.setAttribute("id",bU)}else{bU=bU.replace(/'/g,"\\$&")}if(b5&&b6){bV=bV.parentNode}try{if(!b5||b6){return bF(bV.querySelectorAll("[id='"+bU+"'] "+b4),bZ)}}catch(b1){}finally{if(!bX){bW.removeAttribute("id")}}}}}return e(b4,bV,bZ,b3)};for(var bR in e){by[bR]=e[bR]}bT=null})()}(function(){var e=av.documentElement,bS=e.matchesSelector||e.mozMatchesSelector||e.webkitMatchesSelector||e.msMatchesSelector;if(bS){var bU=!bS.call(av.createElement("div"),"div"),bR=false;try{bS.call(av.documentElement,"[test!='']:sizzle")}catch(bT){bR=true}by.matchesSelector=function(bW,bY){bY=bY.replace(/\=\s*([^'"\]]*)\s*\]/g,"='$1']");if(!by.isXML(bW)){try{if(bR||!bE.match.PSEUDO.test(bY)&&!/!=/.test(bY)){var bV=bS.call(bW,bY);if(bV||!bU||bW.document&&bW.document.nodeType!==11){return bV}}}catch(bX){}}return by(bY,null,null,[bW]).length>0}}})();(function(){var e=av.createElement("div");e.innerHTML="
";if(!e.getElementsByClassName||e.getElementsByClassName("e").length===0){return}e.lastChild.className="e";if(e.getElementsByClassName("e").length===1){return}bE.order.splice(1,0,"CLASS");bE.find.CLASS=function(bR,bS,bT){if(typeof bS.getElementsByClassName!=="undefined"&&!bT){return bS.getElementsByClassName(bR[1])}};e=null})();function bv(bR,bW,bV,bZ,bX,bY){for(var bT=0,bS=bZ.length;bT0){bU=e;break}}}e=e[bR]}bZ[bT]=bU}}}if(av.documentElement.contains){by.contains=function(bR,e){return bR!==e&&(bR.contains?bR.contains(e):true)}}else{if(av.documentElement.compareDocumentPosition){by.contains=function(bR,e){return !!(bR.compareDocumentPosition(e)&16)}}else{by.contains=function(){return false}}}by.isXML=function(e){var bR=(e?e.ownerDocument||e:0).documentElement;return bR?bR.nodeName!=="HTML":false};var bM=function(bS,e,bW){var bV,bX=[],bU="",bY=e.nodeType?[e]:e;while((bV=bE.match.PSEUDO.exec(bS))){bU+=bV[0];bS=bS.replace(bE.match.PSEUDO,"")}bS=bE.relative[bS]?bS+"*":bS;for(var bT=0,bR=bY.length;bT0){for(bB=bA;bB=0:b.filter(e,this).length>0:this.filter(e).length>0)},closest:function(by,bx){var bv=[],bw,e,bz=this[0];if(b.isArray(by)){var bB=1;while(bz&&bz.ownerDocument&&bz!==bx){for(bw=0;bw-1:b.find.matchesSelector(bz,by)){bv.push(bz);break}else{bz=bz.parentNode;if(!bz||!bz.ownerDocument||bz===bx||bz.nodeType===11){break}}}}bv=bv.length>1?b.unique(bv):bv;return this.pushStack(bv,"closest",by)},index:function(e){if(!e){return(this[0]&&this[0].parentNode)?this.prevAll().length:-1}if(typeof e==="string"){return b.inArray(this[0],b(e))}return b.inArray(e.jquery?e[0]:e,this)},add:function(e,bv){var bx=typeof e==="string"?b(e,bv):b.makeArray(e&&e.nodeType?[e]:e),bw=b.merge(this.get(),bx);return this.pushStack(C(bx[0])||C(bw[0])?bw:b.unique(bw))},andSelf:function(){return this.add(this.prevObject)}});function C(e){return !e||!e.parentNode||e.parentNode.nodeType===11}b.each({parent:function(bv){var e=bv.parentNode;return e&&e.nodeType!==11?e:null},parents:function(e){return b.dir(e,"parentNode")},parentsUntil:function(bv,e,bw){return b.dir(bv,"parentNode",bw)},next:function(e){return b.nth(e,2,"nextSibling")},prev:function(e){return b.nth(e,2,"previousSibling")},nextAll:function(e){return b.dir(e,"nextSibling")},prevAll:function(e){return b.dir(e,"previousSibling")},nextUntil:function(bv,e,bw){return b.dir(bv,"nextSibling",bw)},prevUntil:function(bv,e,bw){return b.dir(bv,"previousSibling",bw)},siblings:function(e){return b.sibling(e.parentNode.firstChild,e)},children:function(e){return b.sibling(e.firstChild)},contents:function(e){return b.nodeName(e,"iframe")?e.contentDocument||e.contentWindow.document:b.makeArray(e.childNodes)}},function(e,bv){b.fn[e]=function(by,bw){var bx=b.map(this,bv,by);if(!ab.test(e)){bw=by}if(bw&&typeof bw==="string"){bx=b.filter(bw,bx)}bx=this.length>1&&!ay[e]?b.unique(bx):bx;if((this.length>1||a9.test(bw))&&aq.test(e)){bx=bx.reverse()}return this.pushStack(bx,e,P.call(arguments).join(","))}});b.extend({filter:function(bw,e,bv){if(bv){bw=":not("+bw+")"}return e.length===1?b.find.matchesSelector(e[0],bw)?[e[0]]:[]:b.find.matches(bw,e)},dir:function(bw,bv,by){var e=[],bx=bw[bv];while(bx&&bx.nodeType!==9&&(by===L||bx.nodeType!==1||!b(bx).is(by))){if(bx.nodeType===1){e.push(bx)}bx=bx[bv]}return e},nth:function(by,e,bw,bx){e=e||1;var bv=0;for(;by;by=by[bw]){if(by.nodeType===1&&++bv===e){break}}return by},sibling:function(bw,bv){var e=[];for(;bw;bw=bw.nextSibling){if(bw.nodeType===1&&bw!==bv){e.push(bw)}}return e}});function aG(bx,bw,e){bw=bw||0;if(b.isFunction(bw)){return b.grep(bx,function(bz,by){var bA=!!bw.call(bz,by,bz);return bA===e})}else{if(bw.nodeType){return b.grep(bx,function(bz,by){return(bz===bw)===e})}else{if(typeof bw==="string"){var bv=b.grep(bx,function(by){return by.nodeType===1});if(bp.test(bw)){return b.filter(bw,bv,!e)}else{bw=b.filter(bw,bv)}}}}return b.grep(bx,function(bz,by){return(b.inArray(bz,bw)>=0)===e})}function a(e){var bw=aR.split("|"),bv=e.createDocumentFragment();if(bv.createElement){while(bw.length){bv.createElement(bw.pop())}}return bv}var aR="abbr|article|aside|audio|canvas|datalist|details|figcaption|figure|footer|header|hgroup|mark|meter|nav|output|progress|section|summary|time|video",ag=/ jQuery\d+="(?:\d+|null)"/g,ar=/^\s+/,R=/<(?!area|br|col|embed|hr|img|input|link|meta|param)(([\w:]+)[^>]*)\/>/ig,d=/<([\w:]+)/,w=/",""],legend:[1,"
","
"],thead:[1,"","
"],tr:[2,"","
"],td:[3,"","
"],col:[2,"","
"],area:[1,"",""],_default:[0,"",""]},ac=a(av);ax.optgroup=ax.option;ax.tbody=ax.tfoot=ax.colgroup=ax.caption=ax.thead;ax.th=ax.td;if(!b.support.htmlSerialize){ax._default=[1,"div
","
"]}b.fn.extend({text:function(e){if(b.isFunction(e)){return this.each(function(bw){var bv=b(this);bv.text(e.call(this,bw,bv.text()))})}if(typeof e!=="object"&&e!==L){return this.empty().append((this[0]&&this[0].ownerDocument||av).createTextNode(e))}return b.text(this)},wrapAll:function(e){if(b.isFunction(e)){return this.each(function(bw){b(this).wrapAll(e.call(this,bw))})}if(this[0]){var bv=b(e,this[0].ownerDocument).eq(0).clone(true);if(this[0].parentNode){bv.insertBefore(this[0])}bv.map(function(){var bw=this;while(bw.firstChild&&bw.firstChild.nodeType===1){bw=bw.firstChild}return bw}).append(this)}return this},wrapInner:function(e){if(b.isFunction(e)){return this.each(function(bv){b(this).wrapInner(e.call(this,bv))})}return this.each(function(){var bv=b(this),bw=bv.contents();if(bw.length){bw.wrapAll(e)}else{bv.append(e)}})},wrap:function(e){var bv=b.isFunction(e);return this.each(function(bw){b(this).wrapAll(bv?e.call(this,bw):e)})},unwrap:function(){return this.parent().each(function(){if(!b.nodeName(this,"body")){b(this).replaceWith(this.childNodes)}}).end()},append:function(){return this.domManip(arguments,true,function(e){if(this.nodeType===1){this.appendChild(e)}})},prepend:function(){return this.domManip(arguments,true,function(e){if(this.nodeType===1){this.insertBefore(e,this.firstChild)}})},before:function(){if(this[0]&&this[0].parentNode){return this.domManip(arguments,false,function(bv){this.parentNode.insertBefore(bv,this)})}else{if(arguments.length){var e=b.clean(arguments);e.push.apply(e,this.toArray());return this.pushStack(e,"before",arguments)}}},after:function(){if(this[0]&&this[0].parentNode){return this.domManip(arguments,false,function(bv){this.parentNode.insertBefore(bv,this.nextSibling)})}else{if(arguments.length){var e=this.pushStack(this,"after",arguments);e.push.apply(e,b.clean(arguments));return e}}},remove:function(e,bx){for(var bv=0,bw;(bw=this[bv])!=null;bv++){if(!e||b.filter(e,[bw]).length){if(!bx&&bw.nodeType===1){b.cleanData(bw.getElementsByTagName("*"));b.cleanData([bw])}if(bw.parentNode){bw.parentNode.removeChild(bw)}}}return this},empty:function(){for(var e=0,bv;(bv=this[e])!=null;e++){if(bv.nodeType===1){b.cleanData(bv.getElementsByTagName("*"))}while(bv.firstChild){bv.removeChild(bv.firstChild)}}return this},clone:function(bv,e){bv=bv==null?false:bv;e=e==null?bv:e;return this.map(function(){return b.clone(this,bv,e)})},html:function(bx){if(bx===L){return this[0]&&this[0].nodeType===1?this[0].innerHTML.replace(ag,""):null}else{if(typeof bx==="string"&&!ae.test(bx)&&(b.support.leadingWhitespace||!ar.test(bx))&&!ax[(d.exec(bx)||["",""])[1].toLowerCase()]){bx=bx.replace(R,"<$1>");try{for(var bw=0,bv=this.length;bw1&&bw0?this.clone(true):this).get();b(bC[bA])[bv](by);bz=bz.concat(by)}return this.pushStack(bz,e,bC.selector)}}});function bg(e){if(typeof e.getElementsByTagName!=="undefined"){return e.getElementsByTagName("*")}else{if(typeof e.querySelectorAll!=="undefined"){return e.querySelectorAll("*")}else{return[]}}}function az(e){if(e.type==="checkbox"||e.type==="radio"){e.defaultChecked=e.checked}}function E(e){var bv=(e.nodeName||"").toLowerCase();if(bv==="input"){az(e)}else{if(bv!=="script"&&typeof e.getElementsByTagName!=="undefined"){b.grep(e.getElementsByTagName("input"),az)}}}function al(e){var bv=av.createElement("div");ac.appendChild(bv);bv.innerHTML=e.outerHTML;return bv.firstChild}b.extend({clone:function(by,bA,bw){var e,bv,bx,bz=b.support.html5Clone||!ah.test("<"+by.nodeName)?by.cloneNode(true):al(by);if((!b.support.noCloneEvent||!b.support.noCloneChecked)&&(by.nodeType===1||by.nodeType===11)&&!b.isXMLDoc(by)){ai(by,bz);e=bg(by);bv=bg(bz);for(bx=0;e[bx];++bx){if(bv[bx]){ai(e[bx],bv[bx])}}}if(bA){t(by,bz);if(bw){e=bg(by);bv=bg(bz);for(bx=0;e[bx];++bx){t(e[bx],bv[bx])}}}e=bv=null;return bz},clean:function(bw,by,bH,bA){var bF;by=by||av;if(typeof by.createElement==="undefined"){by=by.ownerDocument||by[0]&&by[0].ownerDocument||av}var bI=[],bB;for(var bE=0,bz;(bz=bw[bE])!=null;bE++){if(typeof bz==="number"){bz+=""}if(!bz){continue}if(typeof bz==="string"){if(!W.test(bz)){bz=by.createTextNode(bz)}else{bz=bz.replace(R,"<$1>");var bK=(d.exec(bz)||["",""])[1].toLowerCase(),bx=ax[bK]||ax._default,bD=bx[0],bv=by.createElement("div");if(by===av){ac.appendChild(bv)}else{a(by).appendChild(bv)}bv.innerHTML=bx[1]+bz+bx[2];while(bD--){bv=bv.lastChild}if(!b.support.tbody){var e=w.test(bz),bC=bK==="table"&&!e?bv.firstChild&&bv.firstChild.childNodes:bx[1]===""&&!e?bv.childNodes:[];for(bB=bC.length-1;bB>=0;--bB){if(b.nodeName(bC[bB],"tbody")&&!bC[bB].childNodes.length){bC[bB].parentNode.removeChild(bC[bB])}}}if(!b.support.leadingWhitespace&&ar.test(bz)){bv.insertBefore(by.createTextNode(ar.exec(bz)[0]),bv.firstChild)}bz=bv.childNodes}}var bG;if(!b.support.appendChecked){if(bz[0]&&typeof(bG=bz.length)==="number"){for(bB=0;bB=0){return bx+"px"}}else{return bx}}}});if(!b.support.opacity){b.cssHooks.opacity={get:function(bv,e){return au.test((e&&bv.currentStyle?bv.currentStyle.filter:bv.style.filter)||"")?(parseFloat(RegExp.$1)/100)+"":e?"1":""},set:function(by,bz){var bx=by.style,bv=by.currentStyle,e=b.isNumeric(bz)?"alpha(opacity="+bz*100+")":"",bw=bv&&bv.filter||bx.filter||"";bx.zoom=1;if(bz>=1&&b.trim(bw.replace(ak,""))===""){bx.removeAttribute("filter");if(bv&&!bv.filter){return}}bx.filter=ak.test(bw)?bw.replace(ak,e):bw+" "+e}}}b(function(){if(!b.support.reliableMarginRight){b.cssHooks.marginRight={get:function(bw,bv){var e;b.swap(bw,{display:"inline-block"},function(){if(bv){e=Z(bw,"margin-right","marginRight")}else{e=bw.style.marginRight}});return e}}}});if(av.defaultView&&av.defaultView.getComputedStyle){aI=function(by,bw){var bv,bx,e;bw=bw.replace(z,"-$1").toLowerCase();if((bx=by.ownerDocument.defaultView)&&(e=bx.getComputedStyle(by,null))){bv=e.getPropertyValue(bw);if(bv===""&&!b.contains(by.ownerDocument.documentElement,by)){bv=b.style(by,bw)}}return bv}}if(av.documentElement.currentStyle){aX=function(bz,bw){var bA,e,by,bv=bz.currentStyle&&bz.currentStyle[bw],bx=bz.style;if(bv===null&&bx&&(by=bx[bw])){bv=by}if(!bc.test(bv)&&bn.test(bv)){bA=bx.left;e=bz.runtimeStyle&&bz.runtimeStyle.left;if(e){bz.runtimeStyle.left=bz.currentStyle.left}bx.left=bw==="fontSize"?"1em":(bv||0);bv=bx.pixelLeft+"px";bx.left=bA;if(e){bz.runtimeStyle.left=e}}return bv===""?"auto":bv}}Z=aI||aX;function p(by,bw,bv){var bA=bw==="width"?by.offsetWidth:by.offsetHeight,bz=bw==="width"?an:a1,bx=0,e=bz.length;if(bA>0){if(bv!=="border"){for(;bx)<[^<]*)*<\/script>/gi,q=/^(?:select|textarea)/i,h=/\s+/,br=/([?&])_=[^&]*/,K=/^([\w\+\.\-]+:)(?:\/\/([^\/?#:]*)(?::(\d+))?)?/,A=b.fn.load,aa={},r={},aE,s,aV=["*/"]+["*"];try{aE=bl.href}catch(aw){aE=av.createElement("a");aE.href="";aE=aE.href}s=K.exec(aE.toLowerCase())||[];function f(e){return function(by,bA){if(typeof by!=="string"){bA=by;by="*"}if(b.isFunction(bA)){var bx=by.toLowerCase().split(h),bw=0,bz=bx.length,bv,bB,bC;for(;bw=0){var e=bw.slice(by,bw.length);bw=bw.slice(0,by)}var bx="GET";if(bz){if(b.isFunction(bz)){bA=bz;bz=L}else{if(typeof bz==="object"){bz=b.param(bz,b.ajaxSettings.traditional);bx="POST"}}}var bv=this;b.ajax({url:bw,type:bx,dataType:"html",data:bz,complete:function(bC,bB,bD){bD=bC.responseText;if(bC.isResolved()){bC.done(function(bE){bD=bE});bv.html(e?b("
").append(bD.replace(a6,"")).find(e):bD)}if(bA){bv.each(bA,[bD,bB,bC])}}});return this},serialize:function(){return b.param(this.serializeArray())},serializeArray:function(){return this.map(function(){return this.elements?b.makeArray(this.elements):this}).filter(function(){return this.name&&!this.disabled&&(this.checked||q.test(this.nodeName)||aZ.test(this.type))}).map(function(e,bv){var bw=b(this).val();return bw==null?null:b.isArray(bw)?b.map(bw,function(by,bx){return{name:bv.name,value:by.replace(bs,"\r\n")}}):{name:bv.name,value:bw.replace(bs,"\r\n")}}).get()}});b.each("ajaxStart ajaxStop ajaxComplete ajaxError ajaxSuccess ajaxSend".split(" "),function(e,bv){b.fn[bv]=function(bw){return this.on(bv,bw)}});b.each(["get","post"],function(e,bv){b[bv]=function(bw,by,bz,bx){if(b.isFunction(by)){bx=bx||bz;bz=by;by=L}return b.ajax({type:bv,url:bw,data:by,success:bz,dataType:bx})}});b.extend({getScript:function(e,bv){return b.get(e,L,bv,"script")},getJSON:function(e,bv,bw){return b.get(e,bv,bw,"json")},ajaxSetup:function(bv,e){if(e){am(bv,b.ajaxSettings)}else{e=bv;bv=b.ajaxSettings}am(bv,e);return bv},ajaxSettings:{url:aE,isLocal:aM.test(s[1]),global:true,type:"GET",contentType:"application/x-www-form-urlencoded",processData:true,async:true,accepts:{xml:"application/xml, text/xml",html:"text/html",text:"text/plain",json:"application/json, text/javascript","*":aV},contents:{xml:/xml/,html:/html/,json:/json/},responseFields:{xml:"responseXML",text:"responseText"},converters:{"* text":bb.String,"text html":true,"text json":b.parseJSON,"text xml":b.parseXML},flatOptions:{context:true,url:true}},ajaxPrefilter:f(aa),ajaxTransport:f(r),ajax:function(bz,bx){if(typeof bz==="object"){bx=bz;bz=L}bx=bx||{};var bD=b.ajaxSetup({},bx),bS=bD.context||bD,bG=bS!==bD&&(bS.nodeType||bS instanceof b)?b(bS):b.event,bR=b.Deferred(),bN=b.Callbacks("once memory"),bB=bD.statusCode||{},bC,bH={},bO={},bQ,by,bL,bE,bI,bA=0,bw,bK,bJ={readyState:0,setRequestHeader:function(bT,bU){if(!bA){var e=bT.toLowerCase();bT=bO[e]=bO[e]||bT;bH[bT]=bU}return this},getAllResponseHeaders:function(){return bA===2?bQ:null},getResponseHeader:function(bT){var e;if(bA===2){if(!by){by={};while((e=aD.exec(bQ))){by[e[1].toLowerCase()]=e[2]}}e=by[bT.toLowerCase()]}return e===L?null:e},overrideMimeType:function(e){if(!bA){bD.mimeType=e}return this},abort:function(e){e=e||"abort";if(bL){bL.abort(e)}bF(0,e);return this}};function bF(bZ,bU,b0,bW){if(bA===2){return}bA=2;if(bE){clearTimeout(bE)}bL=L;bQ=bW||"";bJ.readyState=bZ>0?4:0;var bT,b4,b3,bX=bU,bY=b0?bj(bD,bJ,b0):L,bV,b2;if(bZ>=200&&bZ<300||bZ===304){if(bD.ifModified){if((bV=bJ.getResponseHeader("Last-Modified"))){b.lastModified[bC]=bV}if((b2=bJ.getResponseHeader("Etag"))){b.etag[bC]=b2}}if(bZ===304){bX="notmodified";bT=true}else{try{b4=G(bD,bY);bX="success";bT=true}catch(b1){bX="parsererror";b3=b1}}}else{b3=bX;if(!bX||bZ){bX="error";if(bZ<0){bZ=0}}}bJ.status=bZ;bJ.statusText=""+(bU||bX);if(bT){bR.resolveWith(bS,[b4,bX,bJ])}else{bR.rejectWith(bS,[bJ,bX,b3])}bJ.statusCode(bB);bB=L;if(bw){bG.trigger("ajax"+(bT?"Success":"Error"),[bJ,bD,bT?b4:b3])}bN.fireWith(bS,[bJ,bX]);if(bw){bG.trigger("ajaxComplete",[bJ,bD]);if(!(--b.active)){b.event.trigger("ajaxStop")}}}bR.promise(bJ);bJ.success=bJ.done;bJ.error=bJ.fail;bJ.complete=bN.add;bJ.statusCode=function(bT){if(bT){var e;if(bA<2){for(e in bT){bB[e]=[bB[e],bT[e]]}}else{e=bT[bJ.status];bJ.then(e,e)}}return this};bD.url=((bz||bD.url)+"").replace(bq,"").replace(c,s[1]+"//");bD.dataTypes=b.trim(bD.dataType||"*").toLowerCase().split(h);if(bD.crossDomain==null){bI=K.exec(bD.url.toLowerCase());bD.crossDomain=!!(bI&&(bI[1]!=s[1]||bI[2]!=s[2]||(bI[3]||(bI[1]==="http:"?80:443))!=(s[3]||(s[1]==="http:"?80:443))))}if(bD.data&&bD.processData&&typeof bD.data!=="string"){bD.data=b.param(bD.data,bD.traditional)}aW(aa,bD,bx,bJ);if(bA===2){return false}bw=bD.global;bD.type=bD.type.toUpperCase();bD.hasContent=!aQ.test(bD.type);if(bw&&b.active++===0){b.event.trigger("ajaxStart")}if(!bD.hasContent){if(bD.data){bD.url+=(M.test(bD.url)?"&":"?")+bD.data;delete bD.data}bC=bD.url;if(bD.cache===false){var bv=b.now(),bP=bD.url.replace(br,"$1_="+bv);bD.url=bP+((bP===bD.url)?(M.test(bD.url)?"&":"?")+"_="+bv:"")}}if(bD.data&&bD.hasContent&&bD.contentType!==false||bx.contentType){bJ.setRequestHeader("Content-Type",bD.contentType)}if(bD.ifModified){bC=bC||bD.url;if(b.lastModified[bC]){bJ.setRequestHeader("If-Modified-Since",b.lastModified[bC])}if(b.etag[bC]){bJ.setRequestHeader("If-None-Match",b.etag[bC])}}bJ.setRequestHeader("Accept",bD.dataTypes[0]&&bD.accepts[bD.dataTypes[0]]?bD.accepts[bD.dataTypes[0]]+(bD.dataTypes[0]!=="*"?", "+aV+"; q=0.01":""):bD.accepts["*"]);for(bK in bD.headers){bJ.setRequestHeader(bK,bD.headers[bK])}if(bD.beforeSend&&(bD.beforeSend.call(bS,bJ,bD)===false||bA===2)){bJ.abort();return false}for(bK in {success:1,error:1,complete:1}){bJ[bK](bD[bK])}bL=aW(r,bD,bx,bJ);if(!bL){bF(-1,"No Transport")}else{bJ.readyState=1;if(bw){bG.trigger("ajaxSend",[bJ,bD])}if(bD.async&&bD.timeout>0){bE=setTimeout(function(){bJ.abort("timeout")},bD.timeout)}try{bA=1;bL.send(bH,bF)}catch(bM){if(bA<2){bF(-1,bM)}else{throw bM}}}return bJ},param:function(e,bw){var bv=[],by=function(bz,bA){bA=b.isFunction(bA)?bA():bA;bv[bv.length]=encodeURIComponent(bz)+"="+encodeURIComponent(bA)};if(bw===L){bw=b.ajaxSettings.traditional}if(b.isArray(e)||(e.jquery&&!b.isPlainObject(e))){b.each(e,function(){by(this.name,this.value)})}else{for(var bx in e){v(bx,e[bx],bw,by)}}return bv.join("&").replace(k,"+")}});function v(bw,by,bv,bx){if(b.isArray(by)){b.each(by,function(bA,bz){if(bv||ap.test(bw)){bx(bw,bz)}else{v(bw+"["+(typeof bz==="object"||b.isArray(bz)?bA:"")+"]",bz,bv,bx)}})}else{if(!bv&&by!=null&&typeof by==="object"){for(var e in by){v(bw+"["+e+"]",by[e],bv,bx)}}else{bx(bw,by)}}}b.extend({active:0,lastModified:{},etag:{}});function bj(bD,bC,bz){var bv=bD.contents,bB=bD.dataTypes,bw=bD.responseFields,by,bA,bx,e;for(bA in bw){if(bA in bz){bC[bw[bA]]=bz[bA]}}while(bB[0]==="*"){bB.shift();if(by===L){by=bD.mimeType||bC.getResponseHeader("content-type")}}if(by){for(bA in bv){if(bv[bA]&&bv[bA].test(by)){bB.unshift(bA);break}}}if(bB[0] in bz){bx=bB[0]}else{for(bA in bz){if(!bB[0]||bD.converters[bA+" "+bB[0]]){bx=bA;break}if(!e){e=bA}}bx=bx||e}if(bx){if(bx!==bB[0]){bB.unshift(bx)}return bz[bx]}}function G(bH,bz){if(bH.dataFilter){bz=bH.dataFilter(bz,bH.dataType)}var bD=bH.dataTypes,bG={},bA,bE,bw=bD.length,bB,bC=bD[0],bx,by,bF,bv,e;for(bA=1;bA=bw.duration+this.startTime){this.now=this.end;this.pos=this.state=1;this.update();bw.animatedProperties[this.prop]=true;for(bA in bw.animatedProperties){if(bw.animatedProperties[bA]!==true){e=false}}if(e){if(bw.overflow!=null&&!b.support.shrinkWrapBlocks){b.each(["","X","Y"],function(bC,bD){bz.style["overflow"+bD]=bw.overflow[bC]})}if(bw.hide){b(bz).hide()}if(bw.hide||bw.show){for(bA in bw.animatedProperties){b.style(bz,bA,bw.orig[bA]);b.removeData(bz,"fxshow"+bA,true);b.removeData(bz,"toggle"+bA,true)}}bv=bw.complete;if(bv){bw.complete=false;bv.call(bz)}}return false}else{if(bw.duration==Infinity){this.now=bx}else{bB=bx-this.startTime;this.state=bB/bw.duration;this.pos=b.easing[bw.animatedProperties[this.prop]](this.state,bB,0,1,bw.duration);this.now=this.start+((this.end-this.start)*this.pos)}this.update()}return true}};b.extend(b.fx,{tick:function(){var bw,bv=b.timers,e=0;for(;e").appendTo(e),bw=bv.css("display");bv.remove();if(bw==="none"||bw===""){if(!a8){a8=av.createElement("iframe");a8.frameBorder=a8.width=a8.height=0}e.appendChild(a8);if(!m||!a8.createElement){m=(a8.contentWindow||a8.contentDocument).document;m.write((av.compatMode==="CSS1Compat"?"":"")+"");m.close()}bv=m.createElement(bx);m.body.appendChild(bv);bw=b.css(bv,"display");e.removeChild(a8)}Q[bx]=bw}return Q[bx]}var V=/^t(?:able|d|h)$/i,ad=/^(?:body|html)$/i;if("getBoundingClientRect" in av.documentElement){b.fn.offset=function(bI){var by=this[0],bB;if(bI){return this.each(function(e){b.offset.setOffset(this,bI,e)})}if(!by||!by.ownerDocument){return null}if(by===by.ownerDocument.body){return b.offset.bodyOffset(by)}try{bB=by.getBoundingClientRect()}catch(bF){}var bH=by.ownerDocument,bw=bH.documentElement;if(!bB||!b.contains(bw,by)){return bB?{top:bB.top,left:bB.left}:{top:0,left:0}}var bC=bH.body,bD=aK(bH),bA=bw.clientTop||bC.clientTop||0,bE=bw.clientLeft||bC.clientLeft||0,bv=bD.pageYOffset||b.support.boxModel&&bw.scrollTop||bC.scrollTop,bz=bD.pageXOffset||b.support.boxModel&&bw.scrollLeft||bC.scrollLeft,bG=bB.top+bv-bA,bx=bB.left+bz-bE;return{top:bG,left:bx}}}else{b.fn.offset=function(bF){var bz=this[0];if(bF){return this.each(function(bG){b.offset.setOffset(this,bF,bG)})}if(!bz||!bz.ownerDocument){return null}if(bz===bz.ownerDocument.body){return b.offset.bodyOffset(bz)}var bC,bw=bz.offsetParent,bv=bz,bE=bz.ownerDocument,bx=bE.documentElement,bA=bE.body,bB=bE.defaultView,e=bB?bB.getComputedStyle(bz,null):bz.currentStyle,bD=bz.offsetTop,by=bz.offsetLeft;while((bz=bz.parentNode)&&bz!==bA&&bz!==bx){if(b.support.fixedPosition&&e.position==="fixed"){break}bC=bB?bB.getComputedStyle(bz,null):bz.currentStyle;bD-=bz.scrollTop;by-=bz.scrollLeft;if(bz===bw){bD+=bz.offsetTop;by+=bz.offsetLeft;if(b.support.doesNotAddBorder&&!(b.support.doesAddBorderForTableAndCells&&V.test(bz.nodeName))){bD+=parseFloat(bC.borderTopWidth)||0;by+=parseFloat(bC.borderLeftWidth)||0}bv=bw;bw=bz.offsetParent}if(b.support.subtractsBorderForOverflowNotVisible&&bC.overflow!=="visible"){bD+=parseFloat(bC.borderTopWidth)||0;by+=parseFloat(bC.borderLeftWidth)||0}e=bC}if(e.position==="relative"||e.position==="static"){bD+=bA.offsetTop;by+=bA.offsetLeft}if(b.support.fixedPosition&&e.position==="fixed"){bD+=Math.max(bx.scrollTop,bA.scrollTop);by+=Math.max(bx.scrollLeft,bA.scrollLeft)}return{top:bD,left:by}}}b.offset={bodyOffset:function(e){var bw=e.offsetTop,bv=e.offsetLeft;if(b.support.doesNotIncludeMarginInBodyOffset){bw+=parseFloat(b.css(e,"marginTop"))||0;bv+=parseFloat(b.css(e,"marginLeft"))||0}return{top:bw,left:bv}},setOffset:function(bx,bG,bA){var bB=b.css(bx,"position");if(bB==="static"){bx.style.position="relative"}var bz=b(bx),bv=bz.offset(),e=b.css(bx,"top"),bE=b.css(bx,"left"),bF=(bB==="absolute"||bB==="fixed")&&b.inArray("auto",[e,bE])>-1,bD={},bC={},bw,by;if(bF){bC=bz.position();bw=bC.top;by=bC.left}else{bw=parseFloat(e)||0;by=parseFloat(bE)||0}if(b.isFunction(bG)){bG=bG.call(bx,bA,bv)}if(bG.top!=null){bD.top=(bG.top-bv.top)+bw}if(bG.left!=null){bD.left=(bG.left-bv.left)+by}if("using" in bG){bG.using.call(bx,bD)}else{bz.css(bD)}}};b.fn.extend({position:function(){if(!this[0]){return null}var bw=this[0],bv=this.offsetParent(),bx=this.offset(),e=ad.test(bv[0].nodeName)?{top:0,left:0}:bv.offset();bx.top-=parseFloat(b.css(bw,"marginTop"))||0;bx.left-=parseFloat(b.css(bw,"marginLeft"))||0;e.top+=parseFloat(b.css(bv[0],"borderTopWidth"))||0;e.left+=parseFloat(b.css(bv[0],"borderLeftWidth"))||0;return{top:bx.top-e.top,left:bx.left-e.left}},offsetParent:function(){return this.map(function(){var e=this.offsetParent||av.body;while(e&&(!ad.test(e.nodeName)&&b.css(e,"position")==="static")){e=e.offsetParent}return e})}});b.each(["Left","Top"],function(bv,e){var bw="scroll"+e;b.fn[bw]=function(bz){var bx,by;if(bz===L){bx=this[0];if(!bx){return null}by=aK(bx);return by?("pageXOffset" in by)?by[bv?"pageYOffset":"pageXOffset"]:b.support.boxModel&&by.document.documentElement[bw]||by.document.body[bw]:bx[bw]}return this.each(function(){by=aK(this);if(by){by.scrollTo(!bv?bz:b(by).scrollLeft(),bv?bz:b(by).scrollTop())}else{this[bw]=bz}})}});function aK(e){return b.isWindow(e)?e:e.nodeType===9?e.defaultView||e.parentWindow:false}b.each(["Height","Width"],function(bv,e){var bw=e.toLowerCase();b.fn["inner"+e]=function(){var bx=this[0];return bx?bx.style?parseFloat(b.css(bx,bw,"padding")):this[bw]():null};b.fn["outer"+e]=function(by){var bx=this[0];return bx?bx.style?parseFloat(b.css(bx,bw,by?"margin":"border")):this[bw]():null};b.fn[bw]=function(bz){var bA=this[0];if(!bA){return bz==null?null:this}if(b.isFunction(bz)){return this.each(function(bE){var bD=b(this);bD[bw](bz.call(this,bE,bD[bw]()))})}if(b.isWindow(bA)){var bB=bA.document.documentElement["client"+e],bx=bA.document.body;return bA.document.compatMode==="CSS1Compat"&&bB||bx&&bx["client"+e]||bB}else{if(bA.nodeType===9){return Math.max(bA.documentElement["client"+e],bA.body["scroll"+e],bA.documentElement["scroll"+e],bA.body["offset"+e],bA.documentElement["offset"+e])}else{if(bz===L){var bC=b.css(bA,bw),by=parseFloat(bC);return b.isNumeric(by)?by:bC}else{return this.css(bw,typeof bz==="string"?bz:bz+"px")}}}}});bb.jQuery=bb.$=b;if(typeof define==="function"&&define.amd&&define.amd.jQuery){define("jquery",[],function(){return b})}})(window);/*! - * jQuery UI 1.8.18 - * - * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about) - * Dual licensed under the MIT or GPL Version 2 licenses. - * http://jquery.org/license - * - * http://docs.jquery.com/UI - */ -(function(a,d){a.ui=a.ui||{};if(a.ui.version){return}a.extend(a.ui,{version:"1.8.18",keyCode:{ALT:18,BACKSPACE:8,CAPS_LOCK:20,COMMA:188,COMMAND:91,COMMAND_LEFT:91,COMMAND_RIGHT:93,CONTROL:17,DELETE:46,DOWN:40,END:35,ENTER:13,ESCAPE:27,HOME:36,INSERT:45,LEFT:37,MENU:93,NUMPAD_ADD:107,NUMPAD_DECIMAL:110,NUMPAD_DIVIDE:111,NUMPAD_ENTER:108,NUMPAD_MULTIPLY:106,NUMPAD_SUBTRACT:109,PAGE_DOWN:34,PAGE_UP:33,PERIOD:190,RIGHT:39,SHIFT:16,SPACE:32,TAB:9,UP:38,WINDOWS:91}});a.fn.extend({propAttr:a.fn.prop||a.fn.attr,_focus:a.fn.focus,focus:function(e,f){return typeof e==="number"?this.each(function(){var g=this;setTimeout(function(){a(g).focus();if(f){f.call(g)}},e)}):this._focus.apply(this,arguments)},scrollParent:function(){var e;if((a.browser.msie&&(/(static|relative)/).test(this.css("position")))||(/absolute/).test(this.css("position"))){e=this.parents().filter(function(){return(/(relative|absolute|fixed)/).test(a.curCSS(this,"position",1))&&(/(auto|scroll)/).test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0)}else{e=this.parents().filter(function(){return(/(auto|scroll)/).test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0)}return(/fixed/).test(this.css("position"))||!e.length?a(document):e},zIndex:function(h){if(h!==d){return this.css("zIndex",h)}if(this.length){var f=a(this[0]),e,g;while(f.length&&f[0]!==document){e=f.css("position");if(e==="absolute"||e==="relative"||e==="fixed"){g=parseInt(f.css("zIndex"),10);if(!isNaN(g)&&g!==0){return g}}f=f.parent()}}return 0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(e){e.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}});a.each(["Width","Height"],function(g,e){var f=e==="Width"?["Left","Right"]:["Top","Bottom"],h=e.toLowerCase(),k={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};function j(m,l,i,n){a.each(f,function(){l-=parseFloat(a.curCSS(m,"padding"+this,true))||0;if(i){l-=parseFloat(a.curCSS(m,"border"+this+"Width",true))||0}if(n){l-=parseFloat(a.curCSS(m,"margin"+this,true))||0}});return l}a.fn["inner"+e]=function(i){if(i===d){return k["inner"+e].call(this)}return this.each(function(){a(this).css(h,j(this,i)+"px")})};a.fn["outer"+e]=function(i,l){if(typeof i!=="number"){return k["outer"+e].call(this,i)}return this.each(function(){a(this).css(h,j(this,i,true,l)+"px")})}});function c(g,e){var j=g.nodeName.toLowerCase();if("area"===j){var i=g.parentNode,h=i.name,f;if(!g.href||!h||i.nodeName.toLowerCase()!=="map"){return false}f=a("img[usemap=#"+h+"]")[0];return !!f&&b(f)}return(/input|select|textarea|button|object/.test(j)?!g.disabled:"a"==j?g.href||e:e)&&b(g)}function b(e){return !a(e).parents().andSelf().filter(function(){return a.curCSS(this,"visibility")==="hidden"||a.expr.filters.hidden(this)}).length}a.extend(a.expr[":"],{data:function(g,f,e){return !!a.data(g,e[3])},focusable:function(e){return c(e,!isNaN(a.attr(e,"tabindex")))},tabbable:function(g){var e=a.attr(g,"tabindex"),f=isNaN(e);return(f||e>=0)&&c(g,!f)}});a(function(){var e=document.body,f=e.appendChild(f=document.createElement("div"));f.offsetHeight;a.extend(f.style,{minHeight:"100px",height:"auto",padding:0,borderWidth:0});a.support.minHeight=f.offsetHeight===100;a.support.selectstart="onselectstart" in f;e.removeChild(f).style.display="none"});a.extend(a.ui,{plugin:{add:function(f,g,j){var h=a.ui[f].prototype;for(var e in j){h.plugins[e]=h.plugins[e]||[];h.plugins[e].push([g,j[e]])}},call:function(e,g,f){var j=e.plugins[g];if(!j||!e.element[0].parentNode){return}for(var h=0;h0){return true}h[e]=1;g=(h[e]>0);h[e]=0;return g},isOverAxis:function(f,e,g){return(f>e)&&(f<(e+g))},isOver:function(j,f,i,h,e,g){return a.ui.isOverAxis(j,i,e)&&a.ui.isOverAxis(f,h,g)}})})(jQuery);/*! - * jQuery UI Widget 1.8.18 - * - * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about) - * Dual licensed under the MIT or GPL Version 2 licenses. - * http://jquery.org/license - * - * http://docs.jquery.com/UI/Widget - */ -(function(b,d){if(b.cleanData){var c=b.cleanData;b.cleanData=function(f){for(var g=0,h;(h=f[g])!=null;g++){try{b(h).triggerHandler("remove")}catch(j){}}c(f)}}else{var a=b.fn.remove;b.fn.remove=function(e,f){return this.each(function(){if(!f){if(!e||b.filter(e,[this]).length){b("*",this).add([this]).each(function(){try{b(this).triggerHandler("remove")}catch(g){}})}}return a.call(b(this),e,f)})}}b.widget=function(f,h,e){var g=f.split(".")[0],j;f=f.split(".")[1];j=g+"-"+f;if(!e){e=h;h=b.Widget}b.expr[":"][j]=function(k){return !!b.data(k,f)};b[g]=b[g]||{};b[g][f]=function(k,l){if(arguments.length){this._createWidget(k,l)}};var i=new h();i.options=b.extend(true,{},i.options);b[g][f].prototype=b.extend(true,i,{namespace:g,widgetName:f,widgetEventPrefix:b[g][f].prototype.widgetEventPrefix||f,widgetBaseClass:j},e);b.widget.bridge(f,b[g][f])};b.widget.bridge=function(f,e){b.fn[f]=function(i){var g=typeof i==="string",h=Array.prototype.slice.call(arguments,1),j=this;i=!g&&h.length?b.extend.apply(null,[true,i].concat(h)):i;if(g&&i.charAt(0)==="_"){return j}if(g){this.each(function(){var k=b.data(this,f),l=k&&b.isFunction(k[i])?k[i].apply(k,h):k;if(l!==k&&l!==d){j=l;return false}})}else{this.each(function(){var k=b.data(this,f);if(k){k.option(i||{})._init()}else{b.data(this,f,new e(i,this))}})}return j}};b.Widget=function(e,f){if(arguments.length){this._createWidget(e,f)}};b.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:false},_createWidget:function(f,g){b.data(g,this.widgetName,this);this.element=b(g);this.options=b.extend(true,{},this.options,this._getCreateOptions(),f);var e=this;this.element.bind("remove."+this.widgetName,function(){e.destroy()});this._create();this._trigger("create");this._init()},_getCreateOptions:function(){return b.metadata&&b.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName);this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled ui-state-disabled")},widget:function(){return this.element},option:function(f,g){var e=f;if(arguments.length===0){return b.extend({},this.options)}if(typeof f==="string"){if(g===d){return this.options[f]}e={};e[f]=g}this._setOptions(e);return this},_setOptions:function(f){var e=this;b.each(f,function(g,h){e._setOption(g,h)});return this},_setOption:function(e,f){this.options[e]=f;if(e==="disabled"){this.widget()[f?"addClass":"removeClass"](this.widgetBaseClass+"-disabled ui-state-disabled").attr("aria-disabled",f)}return this},enable:function(){return this._setOption("disabled",false)},disable:function(){return this._setOption("disabled",true)},_trigger:function(e,f,g){var j,i,h=this.options[e];g=g||{};f=b.Event(f);f.type=(e===this.widgetEventPrefix?e:this.widgetEventPrefix+e).toLowerCase();f.target=this.element[0];i=f.originalEvent;if(i){for(j in i){if(!(j in f)){f[j]=i[j]}}}this.element.trigger(f,g);return !(b.isFunction(h)&&h.call(this.element[0],f,g)===false||f.isDefaultPrevented())}}})(jQuery);/*! - * jQuery UI Mouse 1.8.18 - * - * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about) - * Dual licensed under the MIT or GPL Version 2 licenses. - * http://jquery.org/license - * - * http://docs.jquery.com/UI/Mouse - * - * Depends: - * jquery.ui.widget.js - */ -(function(b,c){var a=false;b(document).mouseup(function(d){a=false});b.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var d=this;this.element.bind("mousedown."+this.widgetName,function(e){return d._mouseDown(e)}).bind("click."+this.widgetName,function(e){if(true===b.data(e.target,d.widgetName+".preventClickEvent")){b.removeData(e.target,d.widgetName+".preventClickEvent");e.stopImmediatePropagation();return false}});this.started=false},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(f){if(a){return}(this._mouseStarted&&this._mouseUp(f));this._mouseDownEvent=f;var e=this,g=(f.which==1),d=(typeof this.options.cancel=="string"&&f.target.nodeName?b(f.target).closest(this.options.cancel).length:false);if(!g||d||!this._mouseCapture(f)){return true}this.mouseDelayMet=!this.options.delay;if(!this.mouseDelayMet){this._mouseDelayTimer=setTimeout(function(){e.mouseDelayMet=true},this.options.delay)}if(this._mouseDistanceMet(f)&&this._mouseDelayMet(f)){this._mouseStarted=(this._mouseStart(f)!==false);if(!this._mouseStarted){f.preventDefault();return true}}if(true===b.data(f.target,this.widgetName+".preventClickEvent")){b.removeData(f.target,this.widgetName+".preventClickEvent")}this._mouseMoveDelegate=function(h){return e._mouseMove(h)};this._mouseUpDelegate=function(h){return e._mouseUp(h)};b(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate);f.preventDefault();a=true;return true},_mouseMove:function(d){if(b.browser.msie&&!(document.documentMode>=9)&&!d.button){return this._mouseUp(d)}if(this._mouseStarted){this._mouseDrag(d);return d.preventDefault()}if(this._mouseDistanceMet(d)&&this._mouseDelayMet(d)){this._mouseStarted=(this._mouseStart(this._mouseDownEvent,d)!==false);(this._mouseStarted?this._mouseDrag(d):this._mouseUp(d))}return !this._mouseStarted},_mouseUp:function(d){b(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate);if(this._mouseStarted){this._mouseStarted=false;if(d.target==this._mouseDownEvent.target){b.data(d.target,this.widgetName+".preventClickEvent",true)}this._mouseStop(d)}return false},_mouseDistanceMet:function(d){return(Math.max(Math.abs(this._mouseDownEvent.pageX-d.pageX),Math.abs(this._mouseDownEvent.pageY-d.pageY))>=this.options.distance)},_mouseDelayMet:function(d){return this.mouseDelayMet},_mouseStart:function(d){},_mouseDrag:function(d){},_mouseStop:function(d){},_mouseCapture:function(d){return true}})})(jQuery);(function(c,d){c.widget("ui.resizable",c.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:false,animate:false,animateDuration:"slow",animateEasing:"swing",aspectRatio:false,autoHide:false,containment:false,ghost:false,grid:false,handles:"e,s,se",helper:false,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1000},_create:function(){var f=this,k=this.options;this.element.addClass("ui-resizable");c.extend(this,{_aspectRatio:!!(k.aspectRatio),aspectRatio:k.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:k.helper||k.ghost||k.animate?k.helper||"ui-resizable-helper":null});if(this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)){this.element.wrap(c('
').css({position:this.element.css("position"),width:this.element.outerWidth(),height:this.element.outerHeight(),top:this.element.css("top"),left:this.element.css("left")}));this.element=this.element.parent().data("resizable",this.element.data("resizable"));this.elementIsWrapper=true;this.element.css({marginLeft:this.originalElement.css("marginLeft"),marginTop:this.originalElement.css("marginTop"),marginRight:this.originalElement.css("marginRight"),marginBottom:this.originalElement.css("marginBottom")});this.originalElement.css({marginLeft:0,marginTop:0,marginRight:0,marginBottom:0});this.originalResizeStyle=this.originalElement.css("resize");this.originalElement.css("resize","none");this._proportionallyResizeElements.push(this.originalElement.css({position:"static",zoom:1,display:"block"}));this.originalElement.css({margin:this.originalElement.css("margin")});this._proportionallyResize()}this.handles=k.handles||(!c(".ui-resizable-handle",this.element).length?"e,s,se":{n:".ui-resizable-n",e:".ui-resizable-e",s:".ui-resizable-s",w:".ui-resizable-w",se:".ui-resizable-se",sw:".ui-resizable-sw",ne:".ui-resizable-ne",nw:".ui-resizable-nw"});if(this.handles.constructor==String){if(this.handles=="all"){this.handles="n,e,s,w,se,sw,ne,nw"}var l=this.handles.split(",");this.handles={};for(var g=0;g
');if(/sw|se|ne|nw/.test(j)){h.css({zIndex:++k.zIndex})}if("se"==j){h.addClass("ui-icon ui-icon-gripsmall-diagonal-se")}this.handles[j]=".ui-resizable-"+j;this.element.append(h)}}this._renderAxis=function(q){q=q||this.element;for(var n in this.handles){if(this.handles[n].constructor==String){this.handles[n]=c(this.handles[n],this.element).show()}if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var o=c(this.handles[n],this.element),p=0;p=/sw|ne|nw|se|n|s/.test(n)?o.outerHeight():o.outerWidth();var m=["padding",/ne|nw|n/.test(n)?"Top":/se|sw|s/.test(n)?"Bottom":/^e$/.test(n)?"Right":"Left"].join("");q.css(m,p);this._proportionallyResize()}if(!c(this.handles[n]).length){continue}}};this._renderAxis(this.element);this._handles=c(".ui-resizable-handle",this.element).disableSelection();this._handles.mouseover(function(){if(!f.resizing){if(this.className){var i=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i)}f.axis=i&&i[1]?i[1]:"se"}});if(k.autoHide){this._handles.hide();c(this.element).addClass("ui-resizable-autohide").hover(function(){if(k.disabled){return}c(this).removeClass("ui-resizable-autohide");f._handles.show()},function(){if(k.disabled){return}if(!f.resizing){c(this).addClass("ui-resizable-autohide");f._handles.hide()}})}this._mouseInit()},destroy:function(){this._mouseDestroy();var e=function(g){c(g).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){e(this.element);var f=this.element;f.after(this.originalElement.css({position:f.css("position"),width:f.outerWidth(),height:f.outerHeight(),top:f.css("top"),left:f.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle);e(this.originalElement);return this},_mouseCapture:function(f){var g=false;for(var e in this.handles){if(c(this.handles[e])[0]==f.target){g=true}}return !this.options.disabled&&g},_mouseStart:function(g){var j=this.options,f=this.element.position(),e=this.element;this.resizing=true;this.documentScroll={top:c(document).scrollTop(),left:c(document).scrollLeft()};if(e.is(".ui-draggable")||(/absolute/).test(e.css("position"))){e.css({position:"absolute",top:f.top,left:f.left})}this._renderProxy();var k=b(this.helper.css("left")),h=b(this.helper.css("top"));if(j.containment){k+=c(j.containment).scrollLeft()||0;h+=c(j.containment).scrollTop()||0}this.offset=this.helper.offset();this.position={left:k,top:h};this.size=this._helper?{width:e.outerWidth(),height:e.outerHeight()}:{width:e.width(),height:e.height()};this.originalSize=this._helper?{width:e.outerWidth(),height:e.outerHeight()}:{width:e.width(),height:e.height()};this.originalPosition={left:k,top:h};this.sizeDiff={width:e.outerWidth()-e.width(),height:e.outerHeight()-e.height()};this.originalMousePosition={left:g.pageX,top:g.pageY};this.aspectRatio=(typeof j.aspectRatio=="number")?j.aspectRatio:((this.originalSize.width/this.originalSize.height)||1);var i=c(".ui-resizable-"+this.axis).css("cursor");c("body").css("cursor",i=="auto"?this.axis+"-resize":i);e.addClass("ui-resizable-resizing");this._propagate("start",g);return true},_mouseDrag:function(e){var h=this.helper,g=this.options,m={},q=this,j=this.originalMousePosition,n=this.axis;var r=(e.pageX-j.left)||0,p=(e.pageY-j.top)||0;var i=this._change[n];if(!i){return false}var l=i.apply(this,[e,r,p]),k=c.browser.msie&&c.browser.version<7,f=this.sizeDiff;this._updateVirtualBoundaries(e.shiftKey);if(this._aspectRatio||e.shiftKey){l=this._updateRatio(l,e)}l=this._respectSize(l,e);this._propagate("resize",e);h.css({top:this.position.top+"px",left:this.position.left+"px",width:this.size.width+"px",height:this.size.height+"px"});if(!this._helper&&this._proportionallyResizeElements.length){this._proportionallyResize()}this._updateCache(l);this._trigger("resize",e,this.ui());return false},_mouseStop:function(h){this.resizing=false;var i=this.options,m=this;if(this._helper){var g=this._proportionallyResizeElements,e=g.length&&(/textarea/i).test(g[0].nodeName),f=e&&c.ui.hasScroll(g[0],"left")?0:m.sizeDiff.height,k=e?0:m.sizeDiff.width;var n={width:(m.helper.width()-k),height:(m.helper.height()-f)},j=(parseInt(m.element.css("left"),10)+(m.position.left-m.originalPosition.left))||null,l=(parseInt(m.element.css("top"),10)+(m.position.top-m.originalPosition.top))||null;if(!i.animate){this.element.css(c.extend(n,{top:l,left:j}))}m.helper.height(m.size.height);m.helper.width(m.size.width);if(this._helper&&!i.animate){this._proportionallyResize()}}c("body").css("cursor","auto");this.element.removeClass("ui-resizable-resizing");this._propagate("stop",h);if(this._helper){this.helper.remove()}return false},_updateVirtualBoundaries:function(g){var j=this.options,i,h,f,k,e;e={minWidth:a(j.minWidth)?j.minWidth:0,maxWidth:a(j.maxWidth)?j.maxWidth:Infinity,minHeight:a(j.minHeight)?j.minHeight:0,maxHeight:a(j.maxHeight)?j.maxHeight:Infinity};if(this._aspectRatio||g){i=e.minHeight*this.aspectRatio;f=e.minWidth/this.aspectRatio;h=e.maxHeight*this.aspectRatio;k=e.maxWidth/this.aspectRatio;if(i>e.minWidth){e.minWidth=i}if(f>e.minHeight){e.minHeight=f}if(hl.width),s=a(l.height)&&i.minHeight&&(i.minHeight>l.height);if(h){l.width=i.minWidth}if(s){l.height=i.minHeight}if(t){l.width=i.maxWidth}if(m){l.height=i.maxHeight}var f=this.originalPosition.left+this.originalSize.width,p=this.position.top+this.size.height;var k=/sw|nw|w/.test(q),e=/nw|ne|n/.test(q);if(h&&k){l.left=f-i.minWidth}if(t&&k){l.left=f-i.maxWidth}if(s&&e){l.top=p-i.minHeight}if(m&&e){l.top=p-i.maxHeight}var n=!l.width&&!l.height;if(n&&!l.left&&l.top){l.top=null}else{if(n&&!l.top&&l.left){l.left=null}}return l},_proportionallyResize:function(){var k=this.options;if(!this._proportionallyResizeElements.length){return}var g=this.helper||this.element;for(var f=0;f');var e=c.browser.msie&&c.browser.version<7,g=(e?1:0),h=(e?2:-1);this.helper.addClass(this._helper).css({width:this.element.outerWidth()+h,height:this.element.outerHeight()+h,position:"absolute",left:this.elementOffset.left-g+"px",top:this.elementOffset.top-g+"px",zIndex:++i.zIndex});this.helper.appendTo("body").disableSelection()}else{this.helper=this.element}},_change:{e:function(g,f,e){return{width:this.originalSize.width+f}},w:function(h,f,e){var j=this.options,g=this.originalSize,i=this.originalPosition;return{left:i.left+f,width:g.width-f}},n:function(h,f,e){var j=this.options,g=this.originalSize,i=this.originalPosition;return{top:i.top+e,height:g.height-e}},s:function(g,f,e){return{height:this.originalSize.height+e}},se:function(g,f,e){return c.extend(this._change.s.apply(this,arguments),this._change.e.apply(this,[g,f,e]))},sw:function(g,f,e){return c.extend(this._change.s.apply(this,arguments),this._change.w.apply(this,[g,f,e]))},ne:function(g,f,e){return c.extend(this._change.n.apply(this,arguments),this._change.e.apply(this,[g,f,e]))},nw:function(g,f,e){return c.extend(this._change.n.apply(this,arguments),this._change.w.apply(this,[g,f,e]))}},_propagate:function(f,e){c.ui.plugin.call(this,f,[e,this.ui()]);(f!="resize"&&this._trigger(f,e,this.ui()))},plugins:{},ui:function(){return{originalElement:this.originalElement,element:this.element,helper:this.helper,position:this.position,size:this.size,originalSize:this.originalSize,originalPosition:this.originalPosition}}});c.extend(c.ui.resizable,{version:"1.8.18"});c.ui.plugin.add("resizable","alsoResize",{start:function(f,g){var e=c(this).data("resizable"),i=e.options;var h=function(j){c(j).each(function(){var k=c(this);k.data("resizable-alsoresize",{width:parseInt(k.width(),10),height:parseInt(k.height(),10),left:parseInt(k.css("left"),10),top:parseInt(k.css("top"),10)})})};if(typeof(i.alsoResize)=="object"&&!i.alsoResize.parentNode){if(i.alsoResize.length){i.alsoResize=i.alsoResize[0];h(i.alsoResize)}else{c.each(i.alsoResize,function(j){h(j)})}}else{h(i.alsoResize)}},resize:function(g,i){var f=c(this).data("resizable"),j=f.options,h=f.originalSize,l=f.originalPosition;var k={height:(f.size.height-h.height)||0,width:(f.size.width-h.width)||0,top:(f.position.top-l.top)||0,left:(f.position.left-l.left)||0},e=function(m,n){c(m).each(function(){var q=c(this),r=c(this).data("resizable-alsoresize"),p={},o=n&&n.length?n:q.parents(i.originalElement[0]).length?["width","height"]:["width","height","top","left"];c.each(o,function(s,u){var t=(r[u]||0)+(k[u]||0);if(t&&t>=0){p[u]=t||null}});q.css(p)})};if(typeof(j.alsoResize)=="object"&&!j.alsoResize.nodeType){c.each(j.alsoResize,function(m,n){e(m,n)})}else{e(j.alsoResize)}},stop:function(e,f){c(this).removeData("resizable-alsoresize")}});c.ui.plugin.add("resizable","animate",{stop:function(i,n){var p=c(this).data("resizable"),j=p.options;var h=p._proportionallyResizeElements,e=h.length&&(/textarea/i).test(h[0].nodeName),f=e&&c.ui.hasScroll(h[0],"left")?0:p.sizeDiff.height,l=e?0:p.sizeDiff.width;var g={width:(p.size.width-l),height:(p.size.height-f)},k=(parseInt(p.element.css("left"),10)+(p.position.left-p.originalPosition.left))||null,m=(parseInt(p.element.css("top"),10)+(p.position.top-p.originalPosition.top))||null;p.element.animate(c.extend(g,m&&k?{top:m,left:k}:{}),{duration:j.animateDuration,easing:j.animateEasing,step:function(){var o={width:parseInt(p.element.css("width"),10),height:parseInt(p.element.css("height"),10),top:parseInt(p.element.css("top"),10),left:parseInt(p.element.css("left"),10)};if(h&&h.length){c(h[0]).css({width:o.width,height:o.height})}p._updateCache(o);p._propagate("resize",i)}})}});c.ui.plugin.add("resizable","containment",{start:function(f,r){var t=c(this).data("resizable"),j=t.options,l=t.element;var g=j.containment,k=(g instanceof c)?g.get(0):(/parent/.test(g))?l.parent().get(0):g;if(!k){return}t.containerElement=c(k);if(/document/.test(g)||g==document){t.containerOffset={left:0,top:0};t.containerPosition={left:0,top:0};t.parentData={element:c(document),left:0,top:0,width:c(document).width(),height:c(document).height()||document.body.parentNode.scrollHeight}}else{var n=c(k),i=[];c(["Top","Right","Left","Bottom"]).each(function(p,o){i[p]=b(n.css("padding"+o))});t.containerOffset=n.offset();t.containerPosition=n.position();t.containerSize={height:(n.innerHeight()-i[3]),width:(n.innerWidth()-i[1])};var q=t.containerOffset,e=t.containerSize.height,m=t.containerSize.width,h=(c.ui.hasScroll(k,"left")?k.scrollWidth:m),s=(c.ui.hasScroll(k)?k.scrollHeight:e);t.parentData={element:k,left:q.left,top:q.top,width:h,height:s}}},resize:function(g,q){var t=c(this).data("resizable"),i=t.options,f=t.containerSize,p=t.containerOffset,m=t.size,n=t.position,r=t._aspectRatio||g.shiftKey,e={top:0,left:0},h=t.containerElement;if(h[0]!=document&&(/static/).test(h.css("position"))){e=p}if(n.left<(t._helper?p.left:0)){t.size.width=t.size.width+(t._helper?(t.position.left-p.left):(t.position.left-e.left));if(r){t.size.height=t.size.width/i.aspectRatio}t.position.left=i.helper?p.left:0}if(n.top<(t._helper?p.top:0)){t.size.height=t.size.height+(t._helper?(t.position.top-p.top):t.position.top);if(r){t.size.width=t.size.height*i.aspectRatio}t.position.top=t._helper?p.top:0}t.offset.left=t.parentData.left+t.position.left;t.offset.top=t.parentData.top+t.position.top;var l=Math.abs((t._helper?t.offset.left-e.left:(t.offset.left-e.left))+t.sizeDiff.width),s=Math.abs((t._helper?t.offset.top-e.top:(t.offset.top-p.top))+t.sizeDiff.height);var k=t.containerElement.get(0)==t.element.parent().get(0),j=/relative|absolute/.test(t.containerElement.css("position"));if(k&&j){l-=t.parentData.left}if(l+t.size.width>=t.parentData.width){t.size.width=t.parentData.width-l;if(r){t.size.height=t.size.width/t.aspectRatio}}if(s+t.size.height>=t.parentData.height){t.size.height=t.parentData.height-s;if(r){t.size.width=t.size.height*t.aspectRatio}}},stop:function(f,n){var q=c(this).data("resizable"),g=q.options,l=q.position,m=q.containerOffset,e=q.containerPosition,i=q.containerElement;var j=c(q.helper),r=j.offset(),p=j.outerWidth()-q.sizeDiff.width,k=j.outerHeight()-q.sizeDiff.height;if(q._helper&&!g.animate&&(/relative/).test(i.css("position"))){c(this).css({left:r.left-e.left-m.left,width:p,height:k})}if(q._helper&&!g.animate&&(/static/).test(i.css("position"))){c(this).css({left:r.left-e.left-m.left,width:p,height:k})}}});c.ui.plugin.add("resizable","ghost",{start:function(g,h){var e=c(this).data("resizable"),i=e.options,f=e.size;e.ghost=e.originalElement.clone();e.ghost.css({opacity:0.25,display:"block",position:"relative",height:f.height,width:f.width,margin:0,left:0,top:0}).addClass("ui-resizable-ghost").addClass(typeof i.ghost=="string"?i.ghost:"");e.ghost.appendTo(e.helper)},resize:function(f,g){var e=c(this).data("resizable"),h=e.options;if(e.ghost){e.ghost.css({position:"relative",height:e.size.height,width:e.size.width})}},stop:function(f,g){var e=c(this).data("resizable"),h=e.options;if(e.ghost&&e.helper){e.helper.get(0).removeChild(e.ghost.get(0))}}});c.ui.plugin.add("resizable","grid",{resize:function(e,m){var p=c(this).data("resizable"),h=p.options,k=p.size,i=p.originalSize,j=p.originalPosition,n=p.axis,l=h._aspectRatio||e.shiftKey;h.grid=typeof h.grid=="number"?[h.grid,h.grid]:h.grid;var g=Math.round((k.width-i.width)/(h.grid[0]||1))*(h.grid[0]||1),f=Math.round((k.height-i.height)/(h.grid[1]||1))*(h.grid[1]||1);if(/^(se|s|e)$/.test(n)){p.size.width=i.width+g;p.size.height=i.height+f}else{if(/^(ne)$/.test(n)){p.size.width=i.width+g;p.size.height=i.height+f;p.position.top=j.top-f}else{if(/^(sw)$/.test(n)){p.size.width=i.width+g;p.size.height=i.height+f;p.position.left=j.left-g}else{p.size.width=i.width+g;p.size.height=i.height+f;p.position.top=j.top-f;p.position.left=j.left-g}}}}});var b=function(e){return parseInt(e,10)||0};var a=function(e){return !isNaN(parseInt(e,10))}})(jQuery);/*! - * jQuery hashchange event - v1.3 - 7/21/2010 - * http://benalman.com/projects/jquery-hashchange-plugin/ - * - * Copyright (c) 2010 "Cowboy" Ben Alman - * Dual licensed under the MIT and GPL licenses. - * http://benalman.com/about/license/ - */ -(function($,e,b){var c="hashchange",h=document,f,g=$.event.special,i=h.documentMode,d="on"+c in e&&(i===b||i>7);function a(j){j=j||location.href;return"#"+j.replace(/^[^#]*#?(.*)$/,"$1")}$.fn[c]=function(j){return j?this.bind(c,j):this.trigger(c)};$.fn[c].delay=50;g[c]=$.extend(g[c],{setup:function(){if(d){return false}$(f.start)},teardown:function(){if(d){return false}$(f.stop)}});f=(function(){var j={},p,m=a(),k=function(q){return q},l=k,o=k;j.start=function(){p||n()};j.stop=function(){p&&clearTimeout(p);p=b};function n(){var r=a(),q=o(m);if(r!==m){l(m=r,q);$(e).trigger(c)}else{if(q!==m){location.href=location.href.replace(/#.*/,"")+q}}p=setTimeout(n,$.fn[c].delay)}$.browser.msie&&!d&&(function(){var q,r;j.start=function(){if(!q){r=$.fn[c].src;r=r&&r+a();q=$(' - - -
-
-Functions
-
-
lensing.c File Reference
-
-
-
#include "lensing.h"
-#include <time.h>
-
- + Include dependency graph for lensing.c:
-
-
- -
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

-Functions

int lensing_cl_at_l (struct lensing *ple, int l, double *cl_lensed)
 
int lensing_init (struct precision *ppr, struct perturbs *ppt, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple)
 
int lensing_free (struct lensing *ple)
 
int lensing_indices (struct precision *ppr, struct spectra *psp, struct lensing *ple)
 
int lensing_lensed_cl_tt (double *ksi, double **d00, double *w8, int nmu, struct lensing *ple)
 
int lensing_addback_cl_tt (struct lensing *ple, double *cl_tt)
 
int lensing_lensed_cl_te (double *ksiX, double **d20, double *w8, int nmu, struct lensing *ple)
 
int lensing_addback_cl_te (struct lensing *ple, double *cl_te)
 
int lensing_lensed_cl_ee_bb (double *ksip, double *ksim, double **d22, double **d2m2, double *w8, int nmu, struct lensing *ple)
 
int lensing_addback_cl_ee_bb (struct lensing *ple, double *cl_ee, double *cl_bb)
 
int lensing_d00 (double *mu, int num_mu, int lmax, double **d00)
 
int lensing_d11 (double *mu, int num_mu, int lmax, double **d11)
 
int lensing_d1m1 (double *mu, int num_mu, int lmax, double **d1m1)
 
int lensing_d2m2 (double *mu, int num_mu, int lmax, double **d2m2)
 
int lensing_d22 (double *mu, int num_mu, int lmax, double **d22)
 
int lensing_d20 (double *mu, int num_mu, int lmax, double **d20)
 
int lensing_d31 (double *mu, int num_mu, int lmax, double **d31)
 
int lensing_d3m1 (double *mu, int num_mu, int lmax, double **d3m1)
 
int lensing_d3m3 (double *mu, int num_mu, int lmax, double **d3m3)
 
int lensing_d40 (double *mu, int num_mu, int lmax, double **d40)
 
int lensing_d4m2 (double *mu, int num_mu, int lmax, double **d4m2)
 
int lensing_d4m4 (double *mu, int num_mu, int lmax, double **d4m4)
 
-

Detailed Description

-

Documented lensing module

-

Simon Prunet and Julien Lesgourgues, 6.12.2010

-

This module computes the lensed temperature and polarization anisotropy power spectra $ C_l^{X}, P(k), ... $'s given the unlensed temperature, polarization and lensing potential spectra.

-

Follows Challinor and Lewis full-sky method, astro-ph/0502425

-

The following functions can be called from other modules:

-
    -
  1. lensing_init() at the beginning (but after spectra_init())
    2. -
  2. lensing_cl_at_l() at any time for computing Cl_lensed at any l
    3. -
  3. lensing_free() at the end
    4. -
-

Function Documentation

- -

◆ lensing_cl_at_l()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_cl_at_l (struct lensing * ple,
int l,
double * cl_lensed 
)
-
-

Anisotropy power spectra $ C_l$'s for all types, modes and initial conditions. SO FAR: ONLY SCALAR

-

This routine evaluates all the lensed $ C_l$'s at a given value of l by picking it in the pre-computed table. When relevant, it also sums over all initial conditions for each mode, and over all modes.

-

This function can be called from whatever module at whatever time, provided that lensing_init() has been called before, and lensing_free() has not been called yet.

-
Parameters
- - - - -
pleInput: pointer to lensing structure
lInput: multipole number
cl_lensedOutput: lensed $ C_l$'s for all types (TT, TE, EE, etc..)
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_init()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_init (struct precision * ppr,
struct perturbs * ppt,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple 
)
-
-

This routine initializes the lensing structure (in particular, computes table of lensed anisotropy spectra $ C_l^{X} $)

-
Parameters
- - - - - - -
pprInput: pointer to precision structure
pptInput: pointer to perturbation structure (just in case, not used in current version...)
pspInput: pointer to spectra structure
pnlInput: pointer to nonlinear structure
pleOutput: pointer to initialized lensing structure
-
-
-
Returns
the error status
-

Summary:

-
    -
  • Define local variables
    • -
  • check that we really want to compute at least one spectrum
    • -
  • initialize indices and allocate some of the arrays in the lensing structure
    • -
  • put all precision variables hare; will be stored later in precision structure
    • -
  • Last element in $ \mu $ will be for $ \mu=1 $, needed for sigma2. The rest will be chosen as roots of a Gauss-Legendre quadrature
    • -
  • allocate array of $ \mu $ values, as well as quadrature weights
    • -
  • Compute $ d^l_{mm'} (\mu) $
    • -
  • Allocate main contiguous buffer
    • -
  • compute $ Cgl(\mu)$, $ Cgl2(\mu) $ and sigma2( $\mu$)
    • -
  • Locally store unlensed temperature $ cl_{tt}$ and potential $ cl_{pp}$ spectra
    • -
  • Compute sigma2 $(\mu)$ and Cgl2( $\mu$)
    • -
  • compute ksi, ksi+, ksi-, ksiX
    • -
  • –> ksi is for TT
    • -
  • –> ksiX is for TE
    • -
  • –> ksip, ksim for EE, BB
    • -
  • compute lensed $ C_l$'s by integration
    • -
  • spline computed $ C_l$'s in view of interpolation
    • -
  • Free lots of stuff
    • -
  • Exit
    • -
- -
-
- -

◆ lensing_free()

- -
-
- - - - - - - - -
int lensing_free (struct lensing * ple)
-
-

This routine frees all the memory space allocated by lensing_init().

-

To be called at the end of each run, only when no further calls to lensing_cl_at_l() are needed.

-
Parameters
- - -
pleInput: pointer to lensing structure (which fields must be freed)
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_indices()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_indices (struct precision * ppr,
struct spectra * psp,
struct lensing * ple 
)
-
-

This routine defines indices and allocates tables in the lensing structure

-
Parameters
- - - - -
pprInput: pointer to precision structure
pspInput: pointer to spectra structure
pleInput/output: pointer to lensing structure
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_lensed_cl_tt()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_lensed_cl_tt (double * ksi,
double ** d00,
double * w8,
int nmu,
struct lensing * ple 
)
-
-

This routine computes the lensed power spectra by Gaussian quadrature

-
Parameters
- - - - - - -
ksiInput: Lensed correlation function (ksi[index_mu])
d00Input: Legendre polynomials ( $ d^l_{00}$[l][index_mu])
w8Input: Legendre quadrature weights (w8[index_mu])
nmuInput: Number of quadrature points (0<=index_mu<=nmu)
pleInput/output: Pointer to the lensing structure
-
-
-
Returns
the error status
-

Integration by Gauss-Legendre quadrature.

- -
-
- -

◆ lensing_addback_cl_tt()

- -
-
- - - - - - - - - - - - - - - - - - -
int lensing_addback_cl_tt (struct lensing * ple,
double * cl_tt 
)
-
-

This routine adds back the unlensed $ cl_{tt}$ power spectrum Used in case of fast (and BB inaccurate) integration of correlation functions.

-
Parameters
- - - -
pleInput/output: Pointer to the lensing structure
cl_ttInput: Array of unlensed power spectrum
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_lensed_cl_te()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_lensed_cl_te (double * ksiX,
double ** d20,
double * w8,
int nmu,
struct lensing * ple 
)
-
-

This routine computes the lensed power spectra by Gaussian quadrature

-
Parameters
- - - - - - -
ksiXInput: Lensed correlation function (ksiX[index_mu])
d20Input: Wigner d-function ( $ d^l_{20}$[l][index_mu])
w8Input: Legendre quadrature weights (w8[index_mu])
nmuInput: Number of quadrature points (0<=index_mu<=nmu)
pleInput/output: Pointer to the lensing structure
-
-
-
Returns
the error status
-

Integration by Gauss-Legendre quadrature.

- -
-
- -

◆ lensing_addback_cl_te()

- -
-
- - - - - - - - - - - - - - - - - - -
int lensing_addback_cl_te (struct lensing * ple,
double * cl_te 
)
-
-

This routine adds back the unlensed $ cl_{te}$ power spectrum Used in case of fast (and BB inaccurate) integration of correlation functions.

-
Parameters
- - - -
pleInput/output: Pointer to the lensing structure
cl_teInput: Array of unlensed power spectrum
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_lensed_cl_ee_bb()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_lensed_cl_ee_bb (double * ksip,
double * ksim,
double ** d22,
double ** d2m2,
double * w8,
int nmu,
struct lensing * ple 
)
-
-

This routine computes the lensed power spectra by Gaussian quadrature

-
Parameters
- - - - - - - - -
ksipInput: Lensed correlation function (ksi+[index_mu])
ksimInput: Lensed correlation function (ksi-[index_mu])
d22Input: Wigner d-function ( $ d^l_{22}$[l][index_mu])
d2m2Input: Wigner d-function ( $ d^l_{2-2}$[l][index_mu])
w8Input: Legendre quadrature weights (w8[index_mu])
nmuInput: Number of quadrature points (0<=index_mu<=nmu)
pleInput/output: Pointer to the lensing structure
-
-
-
Returns
the error status
-

Integration by Gauss-Legendre quadrature.

- -
-
- -

◆ lensing_addback_cl_ee_bb()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_addback_cl_ee_bb (struct lensing * ple,
double * cl_ee,
double * cl_bb 
)
-
-

This routine adds back the unlensed $ cl_{ee}$, $ cl_{bb}$ power spectra Used in case of fast (and BB inaccurate) integration of correlation functions.

-
Parameters
- - - - -
pleInput/output: Pointer to the lensing structure
cl_eeInput: Array of unlensed power spectrum
cl_bbInput: Array of unlensed power spectrum
-
-
-
Returns
the error status
- -
-
- -

◆ lensing_d00()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d00 (double * mu,
int num_mu,
int lmax,
double ** d00 
)
-
-

This routine computes the d00 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d00Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d11()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d11 (double * mu,
int num_mu,
int lmax,
double ** d11 
)
-
-

This routine computes the d11 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d11Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d1m1()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d1m1 (double * mu,
int num_mu,
int lmax,
double ** d1m1 
)
-
-

This routine computes the d1m1 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d1m1Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d2m2()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d2m2 (double * mu,
int num_mu,
int lmax,
double ** d2m2 
)
-
-

This routine computes the d2m2 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d2m2Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d22()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d22 (double * mu,
int num_mu,
int lmax,
double ** d22 
)
-
-

This routine computes the d22 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d22Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d20()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d20 (double * mu,
int num_mu,
int lmax,
double ** d20 
)
-
-

This routine computes the d20 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d20Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d31()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d31 (double * mu,
int num_mu,
int lmax,
double ** d31 
)
-
-

This routine computes the d31 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d31Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d3m1()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d3m1 (double * mu,
int num_mu,
int lmax,
double ** d3m1 
)
-
-

This routine computes the d3m1 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d3m1Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d3m3()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d3m3 (double * mu,
int num_mu,
int lmax,
double ** d3m3 
)
-
-

This routine computes the d3m3 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d3m3Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d40()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d40 (double * mu,
int num_mu,
int lmax,
double ** d40 
)
-
-

This routine computes the d40 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d40Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d4m2()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d4m2 (double * mu,
int num_mu,
int lmax,
double ** d4m2 
)
-
-

This routine computes the d4m2 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d4m2Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- -

◆ lensing_d4m4()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
int lensing_d4m4 (double * mu,
int num_mu,
int lmax,
double ** d4m4 
)
-
-

This routine computes the d4m4 term

-
Parameters
- - - - - -
muInput: Vector of cos(beta) values
num_muInput: Number of cos(beta) values
lmaxInput: maximum multipole
d4m4Input/output: Result is stored here
-
-
-

Wigner d-functions, computed by recurrence actual recurrence on $ \sqrt{(2l+1)/2} d^l_{mm'} $ for stability Formulae from Kostelec & Rockmore 2003

- -
-
- - - - - - diff --git a/doc/manual/html/lensing_8c.js b/doc/manual/html/lensing_8c.js deleted file mode 100644 index ed16e999..00000000 --- a/doc/manual/html/lensing_8c.js +++ /dev/null @@ -1,25 +0,0 @@ -var lensing_8c = -[ - [ "lensing_cl_at_l", "lensing_8c.html#ac5710eca0f1143cd1ad7a204cbe4bae5", null ], - [ "lensing_init", "lensing_8c.html#a3b33ec98a680b47da64235ebf899439a", null ], - [ "lensing_free", "lensing_8c.html#a9cbf409f2b65914598cf452b51685dca", null ], - [ "lensing_indices", "lensing_8c.html#acbbfdaccd7ac5f9664ca39285784d043", null ], - [ "lensing_lensed_cl_tt", "lensing_8c.html#a3b21bddff38d4032ee147c49cc367fc8", null ], - [ "lensing_addback_cl_tt", "lensing_8c.html#a93c81c6537273acc4a4deb7573cde6af", null ], - [ "lensing_lensed_cl_te", "lensing_8c.html#a272cd58bf07556235aa5b95c734c276a", null ], - [ "lensing_addback_cl_te", "lensing_8c.html#a30167830b4708a0bc60abc6b9be81576", null ], - [ "lensing_lensed_cl_ee_bb", "lensing_8c.html#acf2e6f2c29828502953534af31aa7f34", null ], - [ "lensing_addback_cl_ee_bb", "lensing_8c.html#a84c33f708e98e91ac0eee9378c355fec", null ], - [ "lensing_d00", "lensing_8c.html#a8c0f1ac44db5bc5e348e2c4fd723e0d8", null ], - [ "lensing_d11", "lensing_8c.html#a86888e910dc2cb1031063218fd5434e0", null ], - [ "lensing_d1m1", "lensing_8c.html#a137f944542bfd744a148240ea720418c", null ], - [ "lensing_d2m2", "lensing_8c.html#a474e545549672efb2259c822bcae6456", null ], - [ "lensing_d22", "lensing_8c.html#ac548af81bc8bdf12f15cf0c5b2ca9b84", null ], - [ "lensing_d20", "lensing_8c.html#a17edd5fd9b3ad08bc1a1dc735fb8981e", null ], - [ "lensing_d31", "lensing_8c.html#a9b557bbe75f6d2f3957fb3e4a46c425a", null ], - [ "lensing_d3m1", "lensing_8c.html#aa0c70cf7f8bc1f653545f2f5ef8a2dc4", null ], - [ "lensing_d3m3", "lensing_8c.html#aa8448f33066f8a6ed97bf2b0285952da", null ], - [ "lensing_d40", "lensing_8c.html#a17de01075faba697505383fbf5faf7ad", null ], - [ "lensing_d4m2", "lensing_8c.html#a6002602bc0f60403c639242bcc1b0ff8", null ], - [ "lensing_d4m4", "lensing_8c.html#ae1093661395382a2321cb98d290d8515", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/lensing_8c__incl.map b/doc/manual/html/lensing_8c__incl.map deleted file mode 100644 index 5334fb39..00000000 --- a/doc/manual/html/lensing_8c__incl.map +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/lensing_8c__incl.md5 b/doc/manual/html/lensing_8c__incl.md5 deleted file mode 100644 index 2bd246e2..00000000 --- a/doc/manual/html/lensing_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -b1fcc5ef6cc708536df40d5b53cd2db9 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c__incl.png b/doc/manual/html/lensing_8c__incl.png deleted file mode 100644 index bbe1f177..00000000 Binary files a/doc/manual/html/lensing_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.map b/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.map deleted file mode 100644 index 524bf67d..00000000 --- a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.md5 b/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.md5 deleted file mode 100644 index f3f9c40b..00000000 --- a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ec793cbcf2f25a4f98cf839adc81f446 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.png b/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.png deleted file mode 100644 index d18ea1a0..00000000 Binary files a/doc/manual/html/lensing_8c_a137f944542bfd744a148240ea720418c_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.map b/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.map deleted file mode 100644 index 895bee1b..00000000 --- a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.md5 b/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.md5 deleted file mode 100644 index 438bd922..00000000 --- a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -40ec49843d83d195d9fe06455f3f3289 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.png b/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.png deleted file mode 100644 index 09915388..00000000 Binary files a/doc/manual/html/lensing_8c_a17de01075faba697505383fbf5faf7ad_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.map b/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.map deleted file mode 100644 index b7587a30..00000000 --- a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.md5 b/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.md5 deleted file mode 100644 index 4ee84ad5..00000000 --- a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6a312cb771ebb95aef024eb65609c498 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.png b/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.png deleted file mode 100644 index 21acfad5..00000000 Binary files a/doc/manual/html/lensing_8c_a17edd5fd9b3ad08bc1a1dc735fb8981e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.map b/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.map deleted file mode 100644 index d1941779..00000000 --- a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.md5 b/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.md5 deleted file mode 100644 index 0d96c46f..00000000 --- a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4058b0d31af87c6b3f2488d1baabb0b9 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.png b/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.png deleted file mode 100644 index f8b925db..00000000 Binary files a/doc/manual/html/lensing_8c_a272cd58bf07556235aa5b95c734c276a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.map b/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.map deleted file mode 100644 index 98e52bca..00000000 --- a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.md5 b/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.md5 deleted file mode 100644 index 0d9faf32..00000000 --- a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -11239534ed566809a9da2118a170791a \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.png b/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.png deleted file mode 100644 index 7042130c..00000000 Binary files a/doc/manual/html/lensing_8c_a30167830b4708a0bc60abc6b9be81576_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.map b/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.map deleted file mode 100644 index 43301459..00000000 --- a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.md5 b/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.md5 deleted file mode 100644 index 74c11a40..00000000 --- a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -914b0cd5f8dcf002af8723b28f0c5f05 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.png b/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.png deleted file mode 100644 index 18f3f96a..00000000 Binary files a/doc/manual/html/lensing_8c_a3b21bddff38d4032ee147c49cc367fc8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.map b/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.map deleted file mode 100644 index 947c7a4d..00000000 --- a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.map +++ /dev/null @@ -1,22 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.md5 b/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.md5 deleted file mode 100644 index cb2c1b10..00000000 --- a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3be3abf5853f003641f992cfddadcc90 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.png b/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.png deleted file mode 100644 index dbd74d55..00000000 Binary files a/doc/manual/html/lensing_8c_a3b33ec98a680b47da64235ebf899439a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.map b/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.map deleted file mode 100644 index f7052713..00000000 --- a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.md5 b/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.md5 deleted file mode 100644 index 964c0b27..00000000 --- a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -70d9d0d8b789c95672b4c2873dc917c1 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.png b/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.png deleted file mode 100644 index a3da1126..00000000 Binary files a/doc/manual/html/lensing_8c_a474e545549672efb2259c822bcae6456_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.map b/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.map deleted file mode 100644 index db48b4c6..00000000 --- a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.md5 b/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.md5 deleted file mode 100644 index b30c2bf5..00000000 --- a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7540377d4abaf23cee498319a8a030d9 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.png b/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.png deleted file mode 100644 index 7b8ac4b2..00000000 Binary files a/doc/manual/html/lensing_8c_a6002602bc0f60403c639242bcc1b0ff8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.map b/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.map deleted file mode 100644 index 8035b2b3..00000000 --- a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.md5 b/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.md5 deleted file mode 100644 index 2b156069..00000000 --- a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -af0e49547cd9252952ae3b445e369331 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.png b/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.png deleted file mode 100644 index f8383a5e..00000000 Binary files a/doc/manual/html/lensing_8c_a84c33f708e98e91ac0eee9378c355fec_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.map b/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.map deleted file mode 100644 index f4d703c6..00000000 --- a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.md5 b/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.md5 deleted file mode 100644 index 0ece5649..00000000 --- a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -649e70708a61f6f8ed04a73c5d9ac839 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.png b/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.png deleted file mode 100644 index 220fb5c6..00000000 Binary files a/doc/manual/html/lensing_8c_a86888e910dc2cb1031063218fd5434e0_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.map b/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.map deleted file mode 100644 index ec678837..00000000 --- a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.md5 b/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.md5 deleted file mode 100644 index e5262bbf..00000000 --- a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -add82cf0c804b771fb36d26f9ab929ad \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.png b/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.png deleted file mode 100644 index c048d23b..00000000 Binary files a/doc/manual/html/lensing_8c_a8c0f1ac44db5bc5e348e2c4fd723e0d8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.map b/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.map deleted file mode 100644 index 7fe97cc1..00000000 --- a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.md5 b/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.md5 deleted file mode 100644 index 91129f20..00000000 --- a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cea4a4a871ce962587d34a6cdd076d69 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.png b/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.png deleted file mode 100644 index 534cf0cb..00000000 Binary files a/doc/manual/html/lensing_8c_a93c81c6537273acc4a4deb7573cde6af_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.map b/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.map deleted file mode 100644 index 34124450..00000000 --- a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.md5 b/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.md5 deleted file mode 100644 index 8dc1b585..00000000 --- a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -472433746c7c5d8d3166569bdfff8dcb \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.png b/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.png deleted file mode 100644 index 639d14bf..00000000 Binary files a/doc/manual/html/lensing_8c_a9b557bbe75f6d2f3957fb3e4a46c425a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.map b/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.map deleted file mode 100644 index cd5c5b80..00000000 --- a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.md5 b/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.md5 deleted file mode 100644 index 8d56cd9b..00000000 --- a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -8e6ee3de8e6cafd2220438e6725bffdc \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.png b/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.png deleted file mode 100644 index 6961b1b1..00000000 Binary files a/doc/manual/html/lensing_8c_aa0c70cf7f8bc1f653545f2f5ef8a2dc4_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.map b/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.map deleted file mode 100644 index 000a3a06..00000000 --- a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.md5 b/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.md5 deleted file mode 100644 index 4e2cf7f4..00000000 --- a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -dbe677423150075486784acfeccf4a3e \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.png b/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.png deleted file mode 100644 index 698ef663..00000000 Binary files a/doc/manual/html/lensing_8c_aa8448f33066f8a6ed97bf2b0285952da_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.map b/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.map deleted file mode 100644 index e9bd7eb0..00000000 --- a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.md5 b/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.md5 deleted file mode 100644 index 8efc514c..00000000 --- a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1da3b1db40ce3e0d3c50cdd20ef3f78d \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.png b/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.png deleted file mode 100644 index fef0fad2..00000000 Binary files a/doc/manual/html/lensing_8c_ac548af81bc8bdf12f15cf0c5b2ca9b84_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.map b/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.map deleted file mode 100644 index 68f13535..00000000 --- a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.md5 b/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.md5 deleted file mode 100644 index 808baecb..00000000 --- a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b4d5eb842d125f5d39f8b56bbbf33811 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.png b/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.png deleted file mode 100644 index 7f531ece..00000000 Binary files a/doc/manual/html/lensing_8c_ac5710eca0f1143cd1ad7a204cbe4bae5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.map b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.map deleted file mode 100644 index 92f020c1..00000000 --- a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.md5 b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.md5 deleted file mode 100644 index 9724447e..00000000 --- a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d852b0bcdcee4b4937a7ee727f1bd3f1 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.png b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.png deleted file mode 100644 index ae257553..00000000 Binary files a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_cgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.map b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.map deleted file mode 100644 index ac15f158..00000000 --- a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.md5 b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.md5 deleted file mode 100644 index 13cc6238..00000000 --- a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b3713c373483122ca1d8cdddb23257c7 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.png b/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.png deleted file mode 100644 index d7f1f32b..00000000 Binary files a/doc/manual/html/lensing_8c_acbbfdaccd7ac5f9664ca39285784d043_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.map b/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.map deleted file mode 100644 index d62bc1c2..00000000 --- a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.md5 b/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.md5 deleted file mode 100644 index 931633fd..00000000 --- a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cdd64a5382c84c67dbb08412054d1155 \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.png b/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.png deleted file mode 100644 index 91dd3ef0..00000000 Binary files a/doc/manual/html/lensing_8c_acf2e6f2c29828502953534af31aa7f34_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.map b/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.map deleted file mode 100644 index 28dc7fbd..00000000 --- a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.md5 b/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.md5 deleted file mode 100644 index 2af7b68a..00000000 --- a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -dc609aaae558e72a3d927379237e88bc \ No newline at end of file diff --git a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.png b/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.png deleted file mode 100644 index 65533d04..00000000 Binary files a/doc/manual/html/lensing_8c_ae1093661395382a2321cb98d290d8515_icgraph.png and /dev/null differ diff --git a/doc/manual/html/lensing_8h.html b/doc/manual/html/lensing_8h.html deleted file mode 100644 index a640b766..00000000 --- a/doc/manual/html/lensing_8h.html +++ /dev/null @@ -1,390 +0,0 @@ - - - - - - - -CLASS MANUAL: lensing.h File Reference - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-Data Structures
-
-
lensing.h File Reference
-
-
-
#include "spectra.h"
-
- + Include dependency graph for lensing.h:
-
-
- -
- + This graph shows which files directly or indirectly include this file:
-
-
- -
-

Go to the source code of this file.

- - - - -

-Data Structures

struct  lensing
 
-

Detailed Description

-

Documented includes for spectra module

-

Data Structure Documentation

- -

◆ lensing

- -
-
- - - - -
struct lensing
-
-

Structure containing everything about lensed spectra that other modules need to know.

-

Once initialized by lensing_init(), contains a table of all lensed $ C_l$'s for the all modes (scalar/tensor), all types (TT, TE...), and all pairs of initial conditions (adiabatic, isocurvatures...). FOR THE MOMENT, ASSUME ONLY SCALAR & ADIABATIC

-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Data Fields
-short -has_lensed_cls -

do we need to compute lensed $ C_l$'s at all ?

-
-int -has_tt -

do we want lensed $ C_l^{TT}$? (T = temperature)

-
-int -has_ee -

do we want lensed $ C_l^{EE}$? (E = E-polarization)

-
-int -has_te -

do we want lensed $ C_l^{TE}$?

-
-int -has_bb -

do we want $ C_l^{BB}$? (B = B-polarization)

-
-int -has_pp -

do we want $ C_l^{\phi\phi}$? ( $ \phi $ = CMB lensing potential)

-
-int -has_tp -

do we want $ C_l^{T\phi}$?

-
-int -has_dd -

do we want $ C_l^{dd}$? (d = matter density)

-
-int -has_td -

do we want $ C_l^{Td}$?

-
-int -has_ll -

do we want $ C_l^{ll}$? (l = lensing potential)

-
-int -has_tl -

do we want $ C_l^{Tl}$?

-
-int -index_lt_tt -

index for type $ C_l^{TT} $

-
-int -index_lt_ee -

index for type $ C_l^{EE} $

-
-int -index_lt_te -

index for type $ C_l^{TE} $

-
-int -index_lt_bb -

index for type $ C_l^{BB} $

-
-int -index_lt_pp -

index for type $ C_l^{\phi\phi} $

-
-int -index_lt_tp -

index for type $ C_l^{T\phi} $

-
-int -index_lt_dd -

index for type $ C_l^{dd} $

-
-int -index_lt_td -

index for type $ C_l^{Td} $

-
-int -index_lt_ll -

index for type $ C_l^{dd} $

-
-int -index_lt_tl -

index for type $ C_l^{Td} $

-
-int -lt_size -

number of $ C_l$ types requested

-
-int -l_unlensed_max -

last multipole in all calculations (same as in spectra module)

-
-int -l_lensed_max -

last multipole at which lensed spectra are computed

-
-int -l_size -

number of l values

-
-int * -l_max_lt -

last multipole (given as an input) at which we want to output $ C_l $'s for a given mode and type

-
-double * -l -

table of multipole values l[index_l]

-
-double * -cl_lens -

table of anisotropy spectra for each multipole and types, cl[index_l * ple->lt_size + index_lt]

-
-double * -ddcl_lens -

second derivatives for interpolation

-
-short -lensing_verbose -

flag regulating the amount of information sent to standard output (none if set to zero)

-
-ErrorMsg -error_message -

zone for writing error messages

-
- -
-
-
-
- - - - diff --git a/doc/manual/html/lensing_8h__dep__incl.map b/doc/manual/html/lensing_8h__dep__incl.map deleted file mode 100644 index a9f6d9d8..00000000 --- a/doc/manual/html/lensing_8h__dep__incl.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/lensing_8h__dep__incl.md5 b/doc/manual/html/lensing_8h__dep__incl.md5 deleted file mode 100644 index 06183a98..00000000 --- a/doc/manual/html/lensing_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -7a9c05a2a265839ed6032cddebc9276b \ No newline at end of file diff --git a/doc/manual/html/lensing_8h__dep__incl.png b/doc/manual/html/lensing_8h__dep__incl.png deleted file mode 100644 index 0fbc87f9..00000000 Binary files a/doc/manual/html/lensing_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/lensing_8h__incl.map b/doc/manual/html/lensing_8h__incl.map deleted file mode 100644 index 028e4e03..00000000 --- a/doc/manual/html/lensing_8h__incl.map +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/lensing_8h__incl.md5 b/doc/manual/html/lensing_8h__incl.md5 deleted file mode 100644 index 9f8b1315..00000000 --- a/doc/manual/html/lensing_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -b4378396f84f013f7da783f665f59004 \ No newline at end of file diff --git a/doc/manual/html/lensing_8h__incl.png b/doc/manual/html/lensing_8h__incl.png deleted file mode 100644 index f9128f59..00000000 Binary files a/doc/manual/html/lensing_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/lensing_8h_source.html b/doc/manual/html/lensing_8h_source.html deleted file mode 100644 index cf73532a..00000000 --- a/doc/manual/html/lensing_8h_source.html +++ /dev/null @@ -1,157 +0,0 @@ - - - - - - - -CLASS MANUAL: lensing.h Source File - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
lensing.h
-
-
-Go to the documentation of this file.
1 
3 #ifndef __LENSING__
4 #define __LENSING__
5 
6 #include "spectra.h"
7 
17 struct lensing {
18 
25 
26  short has_lensed_cls;
29 
33 
34  int has_tt;
35  int has_ee;
36  int has_te;
37  int has_bb;
38  int has_pp;
39  int has_tp;
40  int has_dd;
41  int has_td;
42  int has_ll;
43  int has_tl;
45  int index_lt_tt;
46  int index_lt_ee;
47  int index_lt_te;
48  int index_lt_bb;
49  int index_lt_pp;
50  int index_lt_tp;
51  int index_lt_dd;
52  int index_lt_td;
53  int index_lt_ll;
54  int index_lt_tl;
56  int lt_size;
59 
63 
64  int l_unlensed_max;
66  int l_lensed_max;
68  /* interpolable version: */
69 
70  int l_size;
72  int * l_max_lt;
75  double * l;
76  double * cl_lens;
80  double * ddcl_lens;
83 
87 
88  short lensing_verbose;
90  ErrorMsg error_message;
93 };
94 
95 /*************************************************************************************************************/
96 /* @cond INCLUDE_WITH_DOXYGEN */
97 /*
98  * Boilerplate for C++
99  */
100 #ifdef __cplusplus
101 extern "C" {
102 #endif
103 
104  int lensing_cl_at_l(
105  struct lensing * ple,
106  int l,
107  double * cl_lensed
108  );
109 
110  int lensing_init(
111  struct precision * ppr,
112  struct perturbs * ppt,
113  struct spectra * psp,
114  struct nonlinear * pnl,
115  struct lensing * ple
116  );
117 
118  int lensing_free(
119  struct lensing * ple
120  );
121 
122  int lensing_indices(
123  struct precision * ppr,
124  struct spectra * psp,
125  struct lensing * ple
126  );
127 
128  int lensing_lensed_cl_tt(
129  double *ksi,
130  double **d00,
131  double *w8,
132  int nmu,
133  struct lensing * ple
134  );
135 
136  int lensing_lensed_cl_te(
137  double *ksiX,
138  double **d20,
139  double *w8,
140  int nmu,
141  struct lensing * ple
142  );
143 
144  int lensing_lensed_cl_ee_bb(
145  double *ksip,
146  double *ksim,
147  double **d22,
148  double **d2m2,
149  double *w8,
150  int nmu,
151  struct lensing * ple
152  );
153  int lensing_addback_cl_tt(
154  struct lensing *ple,
155  double *cl_tt
156  );
157 
158  int lensing_addback_cl_te(
159  struct lensing *ple,
160  double *cl_te
161  );
162 
163  int lensing_addback_cl_ee_bb(
164  struct lensing *ple,
165  double *cl_ee,
166  double *cl_bb
167  );
168 
169 
170  int lensing_X000(
171  double * mu,
172  int num_mu,
173  int lmax,
174  double * sigma2,
175  double ** X000
176  );
177 
178  int lensing_Xp000(
179  double * mu,
180  int num_mu,
181  int lmax,
182  double * sigma2,
183  double ** Xp000
184  );
185 
186  int lensing_X220(
187  double * mu,
188  int num_mu,
189  int lmax,
190  double * sigma2,
191  double ** X220
192  );
193 
194  int lensing_X022(
195  double * mu,
196  int num_mu,
197  int lmax,
198  double * sigma2,
199  double ** X022
200  );
201 
202  int lensing_Xp022(
203  double * mu,
204  int num_mu,
205  int lmax,
206  double * sigma2,
207  double ** Xp022
208  );
209 
210  int lensing_X121(
211  double * mu,
212  int num_mu,
213  int lmax,
214  double * sigma2,
215  double ** X121
216  );
217 
218  int lensing_X132(
219  double * mu,
220  int num_mu,
221  int lmax,
222  double * sigma2,
223  double ** X132
224  );
225 
226  int lensing_X242(
227  double * mu,
228  int num_mu,
229  int lmax,
230  double * sigma2,
231  double ** X242
232  );
233 
234  int lensing_d00(
235  double * mu,
236  int num_mu,
237  int lmax,
238  double ** d00
239  );
240 
241  int lensing_d11(
242  double * mu,
243  int num_mu,
244  int lmax,
245  double ** d11
246  );
247 
248  int lensing_d1m1(
249  double * mu,
250  int num_mu,
251  int lmax,
252  double ** d1m1
253  );
254 
255  int lensing_d2m2(
256  double * mu,
257  int num_mu,
258  int lmax,
259  double ** d2m2
260  );
261 
262  int lensing_d22(
263  double * mu,
264  int num_mu,
265  int lmax,
266  double ** d22
267  );
268 
269  int lensing_d20(
270  double * mu,
271  int num_mu,
272  int lmax,
273  double ** d20
274  );
275 
276  int lensing_d31(
277  double * mu,
278  int num_mu,
279  int lmax,
280  double ** d3m1
281  );
282 
283  int lensing_d3m1(
284  double * mu,
285  int num_mu,
286  int lmax,
287  double ** d3m1
288  );
289 
290  int lensing_d3m3(
291  double * mu,
292  int num_mu,
293  int lmax,
294  double ** d3m3
295  );
296 
297  int lensing_d40(
298  double * mu,
299  int num_mu,
300  int lmax,
301  double ** d40
302  );
303 
304  int lensing_d4m2(
305  double * mu,
306  int num_mu,
307  int lmax,
308  double ** d4m2
309  );
310 
311  int lensing_d4m4(
312  double * mu,
313  int num_mu,
314  int lmax,
315  double ** d4m4
316  );
317 
318 #ifdef __cplusplus
319 }
320 #endif
321 
322 #endif
323 /* @endcond */
lensing::lensing_verbose
short lensing_verbose
Definition: lensing.h:88
-
lensing_init
int lensing_init(struct precision *ppr, struct perturbs *ppt, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple)
Definition: lensing.c:84
-
lensing_d00
int lensing_d00(double *mu, int num_mu, int lmax, double **d00)
Definition: lensing.c:1242
-
lensing::l
double * l
Definition: lensing.h:75
-
lensing::has_td
int has_td
Definition: lensing.h:41
-
lensing_addback_cl_te
int lensing_addback_cl_te(struct lensing *ple, double *cl_te)
Definition: lensing.c:1143
-
lensing_lensed_cl_te
int lensing_lensed_cl_te(double *ksiX, double **d20, double *w8, int nmu, struct lensing *ple)
Definition: lensing.c:1105
-
lensing::index_lt_te
int index_lt_te
Definition: lensing.h:47
-
lensing_d1m1
int lensing_d1m1(double *mu, int num_mu, int lmax, double **d1m1)
Definition: lensing.c:1356
-
lensing
Definition: lensing.h:17
-
spectra
Definition: spectra.h:17
-
lensing_addback_cl_ee_bb
int lensing_addback_cl_ee_bb(struct lensing *ple, double *cl_ee, double *cl_bb)
Definition: lensing.c:1213
-
perturbs
Definition: perturbations.h:95
-
lensing::has_lensed_cls
short has_lensed_cls
Definition: lensing.h:26
-
lensing::has_ll
int has_ll
Definition: lensing.h:42
-
lensing::has_tt
int has_tt
Definition: lensing.h:34
-
lensing_d11
int lensing_d11(double *mu, int num_mu, int lmax, double **d11)
Definition: lensing.c:1299
-
lensing::has_ee
int has_ee
Definition: lensing.h:35
-
lensing::has_bb
int has_bb
Definition: lensing.h:37
-
lensing::ddcl_lens
double * ddcl_lens
Definition: lensing.h:80
-
lensing::index_lt_ee
int index_lt_ee
Definition: lensing.h:46
-
lensing_d40
int lensing_d40(double *mu, int num_mu, int lmax, double **d40)
Definition: lensing.c:1756
-
lensing_d3m1
int lensing_d3m1(double *mu, int num_mu, int lmax, double **d3m1)
Definition: lensing.c:1640
-
lensing::index_lt_bb
int index_lt_bb
Definition: lensing.h:48
-
lensing_d4m2
int lensing_d4m2(double *mu, int num_mu, int lmax, double **d4m2)
Definition: lensing.c:1813
-
lensing::has_te
int has_te
Definition: lensing.h:36
-
lensing_d3m3
int lensing_d3m3(double *mu, int num_mu, int lmax, double **d3m3)
Definition: lensing.c:1698
-
lensing_free
int lensing_free(struct lensing *ple)
Definition: lensing.c:803
-
lensing::l_max_lt
int * l_max_lt
Definition: lensing.h:72
-
lensing::index_lt_pp
int index_lt_pp
Definition: lensing.h:49
-
lensing_addback_cl_tt
int lensing_addback_cl_tt(struct lensing *ple, double *cl_tt)
Definition: lensing.c:1080
-
lensing::cl_lens
double * cl_lens
Definition: lensing.h:76
-
lensing::l_lensed_max
int l_lensed_max
Definition: lensing.h:66
-
lensing::index_lt_tt
int index_lt_tt
Definition: lensing.h:45
-
lensing::index_lt_dd
int index_lt_dd
Definition: lensing.h:51
-
lensing::has_tl
int has_tl
Definition: lensing.h:43
-
lensing_lensed_cl_tt
int lensing_lensed_cl_tt(double *ksi, double **d00, double *w8, int nmu, struct lensing *ple)
Definition: lensing.c:1042
-
lensing::lt_size
int lt_size
Definition: lensing.h:56
-
lensing::has_pp
int has_pp
Definition: lensing.h:38
-
lensing_lensed_cl_ee_bb
int lensing_lensed_cl_ee_bb(double *ksip, double *ksim, double **d22, double **d2m2, double *w8, int nmu, struct lensing *ple)
Definition: lensing.c:1170
-
lensing::l_size
int l_size
Definition: lensing.h:70
-
lensing::has_tp
int has_tp
Definition: lensing.h:39
-
lensing_d2m2
int lensing_d2m2(double *mu, int num_mu, int lmax, double **d2m2)
Definition: lensing.c:1413
-
lensing::index_lt_tp
int index_lt_tp
Definition: lensing.h:50
-
lensing_indices
int lensing_indices(struct precision *ppr, struct spectra *psp, struct lensing *ple)
Definition: lensing.c:829
-
lensing::index_lt_tl
int index_lt_tl
Definition: lensing.h:54
-
lensing::has_dd
int has_dd
Definition: lensing.h:40
-
lensing_d22
int lensing_d22(double *mu, int num_mu, int lmax, double **d22)
Definition: lensing.c:1470
-
lensing_d31
int lensing_d31(double *mu, int num_mu, int lmax, double **d31)
Definition: lensing.c:1582
-
lensing::index_lt_td
int index_lt_td
Definition: lensing.h:52
-
lensing::index_lt_ll
int index_lt_ll
Definition: lensing.h:53
-
lensing_d20
int lensing_d20(double *mu, int num_mu, int lmax, double **d20)
Definition: lensing.c:1527
-
precision
Definition: common.h:345
-
lensing::l_unlensed_max
int l_unlensed_max
Definition: lensing.h:64
-
lensing_d4m4
int lensing_d4m4(double *mu, int num_mu, int lmax, double **d4m4)
Definition: lensing.c:1872
- -
lensing_cl_at_l
int lensing_cl_at_l(struct lensing *ple, int l, double *cl_lensed)
Definition: lensing.c:39
-
lensing::error_message
ErrorMsg error_message
Definition: lensing.h:90
-
nonlinear
Definition: nonlinear.h:21
-
-
- - - - diff --git a/doc/manual/html/lensing_8h_structlensing.js b/doc/manual/html/lensing_8h_structlensing.js deleted file mode 100644 index d3387770..00000000 --- a/doc/manual/html/lensing_8h_structlensing.js +++ /dev/null @@ -1,34 +0,0 @@ -var lensing_8h_structlensing = -[ - [ "has_lensed_cls", "lensing_8h.html#ae26244b4a356df2ac432dbbd2a1860f3", null ], - [ "has_tt", "lensing_8h.html#a0dc88f938ae752059a638ad83a351987", null ], - [ "has_ee", "lensing_8h.html#a6c9bdc11a537514889967c770da62454", null ], - [ "has_te", "lensing_8h.html#a07010b7121450b62d4d5831306524d55", null ], - [ "has_bb", "lensing_8h.html#a3376eecdeb0890aa641d75537eddb8ec", null ], - [ "has_pp", "lensing_8h.html#acc4fa5ed870629b5316a8db955633a58", null ], - [ "has_tp", "lensing_8h.html#ab36938c722105e517f0e7b54d188cd0b", null ], - [ "has_dd", "lensing_8h.html#a8272d8d201b4359ee991580d82c8f5d2", null ], - [ "has_td", "lensing_8h.html#a02347a6282806a07febdf60beeaf3867", null ], - [ "has_ll", "lensing_8h.html#afa2e2c2454a5709b4f138bb2a0918b69", null ], - [ "has_tl", "lensing_8h.html#a8fb9290e3e7fc434f1dd8280ff26b940", null ], - [ "index_lt_tt", "lensing_8h.html#a49ee95997f34edd81965f2a6a0832b29", null ], - [ "index_lt_ee", "lensing_8h.html#a9d18f475d810e3b2cc06565f4e6e8fcc", null ], - [ "index_lt_te", "lensing_8h.html#a3b53da5a740368c36e797026898a0885", null ], - [ "index_lt_bb", "lensing_8h.html#aad717db8e3fb90861386661b544566e2", null ], - [ "index_lt_pp", "lensing_8h.html#ad355d99091371c078d6410a2807cb046", null ], - [ "index_lt_tp", "lensing_8h.html#a8ab43d19ed6b15ae77dac5ad04d41648", null ], - [ "index_lt_dd", "lensing_8h.html#a23ae6d7191c915d65035ec33ad950ebe", null ], - [ "index_lt_td", "lensing_8h.html#a24b997d7f7d7b2d04a32d19b2aa2a52d", null ], - [ "index_lt_ll", "lensing_8h.html#a7cded4ce178f745f2186b9165d4f4c0d", null ], - [ "index_lt_tl", "lensing_8h.html#a9f165327a081698b2b0791eb600d398e", null ], - [ "lt_size", "lensing_8h.html#aa9ad0daf319c47e96f8830fedf682afd", null ], - [ "l_unlensed_max", "lensing_8h.html#adfe9236af20f4ee1c3836cbfcd7aae3b", null ], - [ "l_lensed_max", "lensing_8h.html#af0af1fc9b860d9077686bea4717c7113", null ], - [ "l_size", "lensing_8h.html#a1f1c98d553499b30adedbb623b69bfa1", null ], - [ "l_max_lt", "lensing_8h.html#a92589138597145c2e311e3ecb18d7580", null ], - [ "l", "lensing_8h.html#a515aa9ec5555b0f9ab5b43b0bf4b65aa", null ], - [ "cl_lens", "lensing_8h.html#acc56a1d7a46570f79ba64abc1a6f8d63", null ], - [ "ddcl_lens", "lensing_8h.html#a9f78b598f39844238cb8b1c1fab969db", null ], - [ "lensing_verbose", "lensing_8h.html#a719645bb169b370108150f591a4d93e5", null ], - [ "error_message", "lensing_8h.html#a49b1b8ff165b21d6a2a34287a7f241d8", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/md__Users_lesgourg_OwnCloud_documents_codes_ClassProject_class_external_Pk_README.html b/doc/manual/html/md__Users_lesgourg_OwnCloud_documents_codes_ClassProject_class_external_Pk_README.html deleted file mode 100644 index 2d409013..00000000 --- a/doc/manual/html/md__Users_lesgourg_OwnCloud_documents_codes_ClassProject_class_external_Pk_README.html +++ /dev/null @@ -1,147 +0,0 @@ - - - - - - - -CLASS MANUAL: The `external_Pk` mode - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
The `external_Pk` mode
-
-
-
    -
  • Author: Jesus Torrado (torradocacho [@] lorentz.leidenuniv.nl)
    • -
  • Date: 2013-12-20
    • -
-

Introduction

-

This mode allows for an arbitrary primordial spectrum P(k) to be calculated by an external command and passed to CLASS. That external command may be anything that can be run in the shell: a python script, some compiled C or Fortran code... This command is executed from within CLASS, and CLASS is able to pass it a number of parameters defining the spectrum (an amplitude, a tilt...). Those parameters can be used in a Markov chain search performed by MontePython.

-

This mode includes the simple case of a precomputed primordial spectrum stored in a text file. In that case, the cat shell command will do the trick (see below).

-

Currently, scalar and tensor spectra of perturbations of adiabatic modes are supported.

-

Use case #1: reading the spectrum from a table

-

In this case, say the file with the table is called spectrum.txt, located under /path/to, simply include in the .ini file 

command = cat path/to/spectrum.txt
-

It is necessary that 1st 4 characters are exactly cat.

-

Use case #2: getting the spectrum from an external command

-

Here an external command is called to generate the spectrum; it may be some compiled C or Fortran code, a python script... This command may be passed up to 10 floating point arguments, named custom1 to custom10, which are assigned values inside the .ini file of CLASS. The command parameter would look like 

command = /path/to/example.py
-

if it starts with #/usr/bin/python, otherwise 

command = python /path/to/example.py
-

As an example of the 1st use case, one may use the included script generate_Pk_example.py, which implements a single-field slow-roll spectrum without running, and takes 3 arguments:

    -
  • custom1 – the pivot scale (k_0 = 0.05 1/Mpc for Planck).
    • -
  • custom2 – the amplitude of the scalar power spectrum.
    • -
  • custom3 – the scalar spectral index.
    • -
-

In order to use it, the following lines must be present in the parameter file: 

P_k_ini type = external_Pk
-command = /path/to/CLASS/external_Pk/generate_Pk_example.py
-custom1 = 0.05
-custom2 = 2.2e-9
-custom3 = 1.
-

Defined or not (in that case, 0-valued), parameters from custom4 to custom10 will be passed to the example script, which should ignore them. In this case, CLASS will run in the shell the command 

/path/to/CLASS/external_Pk/generate_Pk_example.py 0.05 2.2e-9 1. 0 0 0 0 0 0 0
-

If CLASS fails to run the command, try to do it directly yourself by hand, using exactly the same string that was given in command.

-

Output of the command / format of the table

-

The command must generate an output separated into lines, each containing a tuple (k, P(k)). The following requirements must be fulfilled:

-
    -
  • Each line must contain 2 (3, if tensors) floating point numbers: k (in 1/Mpc units) and P_s(k) (and P_t(k), if tensors), separated by any number of spaces or tabs. The numbers can be in scientific notation, e.g. 1.4e-3.
    • -
  • The lines must be sorted in increasing values of k.
    • -
  • There must be at least two points (k, P(k)) before and after the interval of k requested by CLASS, in order not to introduce unnecessary interpolation error. Otherwise, an error will be raised. In most of the cases, generating the spectrum between 1e-6 and 1 1/Mpc should be more than enough.
    • -
-

Precision

-

This implementation properly handles double-precision floating point numbers (i.e. about 17 significant figures), both for the input parameters of the command and for the output of the command (or the table).

-

The sampling of k given by the command (or table) is preserved to be used internally by CLASS. It must be fine enough a sampling to clearly show the features of the spectrum. The best way to test this is to plot the output/table and check it with the naked eye.

-

Another thing to have in mind arises at the time of convolving with the transfer functions. Two precision parameters are implied: the sampling of k in the integral, given by k_step_trans, and the sampling of the transfer functions in l, given by l_logstep and l_linstep. In general, it will be enough to reduce the values of the first and the third parameters. A good start is to give them rather small values, say k_step_trans=0.01 and l_linstep=1, and to increase them slowly until the point at which the effect of increasing them gets noticeable.

-

Parameter fit with MontePython

-

(MontePython)[http://montepython.net/] is able to interact with the external_Pk mode transparently, using the custom parameters in an MCMC fit. One must just add the appropriate lines to the input file of MontePython. For our example, if we wanted to fit the amplitude and spectral index of the primordial spectrum, it would be: 

data.cosmo_arguments['P_k_ini type'] = 'external_Pk'
-data.cosmo_arguments['command'] = '/path/to/CLASS/external_Pk/generate_Pk_example.py'
-data.cosmo_arguments['custom1'] = 0.05                                   # k_pivot
-data.parameters['custom2']      = [ 2.2,  0, -1,  0.055, 1.e-9, 'cosmo'] # A_s
-data.parameters['custom3']      = [  1.,  0, -1, 0.0074,     1, 'cosmo'] # n_s
-

Notice that since in our case custom1 represents the pivot scale, it is passed as a (non-varying) argument, instead of as a (varying) parameter.

-

In this case, one would not include the corresponding lines for the primordial parameters of CLASS: k_pivot, A_s, n_s, alpha_s, etc. They would simply be ignored.

-

Limitations

-
    -
  • So far, this mode cannot handle vector perturbations, nor isocurvature initial conditions.
    • -
  • The external script knows nothing about the rest of the CLASS parameters, so if it needs, e.g., k_pivot, it should be either hard coded, or its value passed as one of the custom parameters.
    • -
-
-
- - - - diff --git a/doc/manual/html/md__home_deannah88_Documents_Uni_stuff_Master_Student_Job_class_doxygen_class_external_Pk_README.html b/doc/manual/html/md__home_deannah88_Documents_Uni_stuff_Master_Student_Job_class_doxygen_class_external_Pk_README.html deleted file mode 100644 index 9b997dd7..00000000 --- a/doc/manual/html/md__home_deannah88_Documents_Uni_stuff_Master_Student_Job_class_doxygen_class_external_Pk_README.html +++ /dev/null @@ -1,165 +0,0 @@ - - - - - - -CLASS MANUAL: The `external_Pk` mode - - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
The `external_Pk` mode
-
-
-
    -
  • Author: Jesus Torrado (torradocacho [@] lorentz.leidenuniv.nl)
    • -
  • Date: 2013-12-20
    • -
-

Introduction

-

This mode allows for an arbitrary primordial spectrum P(k) to be calculated by an external command and passed to CLASS. That external command may be anything that can be run in the shell: a python script, some compiled C or Fortran code... This command is executed from within CLASS, and CLASS is able to pass it a number of parameters defining the spectrum (an amplitude, a tilt...). Those parameters can be used in a Markov chain search performed by MontePython.

-

This mode includes the simple case of a precomputed primordial spectrum stored in a text file. In that case, the cat shell command will do the trick (see below).

-

Currently, scalar and tensor spectra of perturbations of adiabatic modes are supported.

-

Use case #1: reading the spectrum from a table

-

In this case, say the file with the table is called spectrum.txt, located under /path/to, simply include in the .ini file 

command = cat path/to/spectrum.txt
-

It is necessary that 1st 4 characters are exactly cat.

-

Use case #2: getting the spectrum from an external command

-

Here an external command is called to generate the spectrum; it may be some compiled C or Fortran code, a python script... This command may be passed up to 10 floating point arguments, named custom1 to custom10, which are assigned values inside the .ini file of CLASS. The command parameter would look like 

command = /path/to/example.py
-

if it starts with #/usr/bin/python, otherwise 

command = python /path/to/example.py
-

As an example of the 1st use case, one may use the included script generate_Pk_example.py, which implements a single-field slow-roll spectrum without running, and takes 3 arguments:

    -
  • custom1 – the pivot scale (k_0 = 0.05 1/Mpc for Planck).
    • -
  • custom2 – the amplitude of the scalar power spectrum.
    • -
  • custom3 – the scalar spectral index.
    • -
-

In order to use it, the following lines must be present in the parameter file: 

P_k_ini type = external_Pk
-command = /path/to/CLASS/external_Pk/generate_Pk_example.py
-custom1 = 0.05
-custom2 = 2.2e-9
-custom3 = 1.
-

Defined or not (in that case, 0-valued), parameters from custom4 to custom10 will be passed to the example script, which should ignore them. In this case, CLASS will run in the shell the command 

/path/to/CLASS/external_Pk/generate_Pk_example.py 0.05 2.2e-9 1. 0 0 0 0 0 0 0
-

If CLASS fails to run the command, try to do it directly yourself by hand, using exactly the same string that was given in command.

-

Output of the command / format of the table

-

The command must generate an output separated into lines, each containing a tuple (k, P(k)). The following requirements must be fulfilled:

-
    -
  • Each line must contain 2 (3, if tensors) floating point numbers: k (in 1/Mpc units) and P_s(k) (and P_t(k), if tensors), separated by any number of spaces or tabs. The numbers can be in scientific notation, e.g. 1.4e-3.
    • -
  • The lines must be sorted in increasing values of k.
    • -
  • There must be at least two points (k, P(k)) before and after the interval of k requested by CLASS, in order not to introduce unnecessary interpolation error. Otherwise, an error will be raised. In most of the cases, generating the spectrum between 1e-6 and 1 1/Mpc should be more than enough.
    • -
-

Precision

-

This implementation properly handles double-precision floating point numbers (i.e. about 17 significant figures), both for the input parameters of the command and for the output of the command (or the table).

-

The sampling of k given by the command (or table) is preserved to be used internally by CLASS. It must be fine enough a sampling to clearly show the features of the spectrum. The best way to test this is to plot the output/table and check it with the naked eye.

-

Another thing to have in mind arises at the time of convolving with the transfer functions. Two precision parameters are implied: the sampling of k in the integral, given by k_step_trans, and the sampling of the transfer functions in l, given by l_logstep and l_linstep. In general, it will be enough to reduce the values of the first and the third parameters. A good start is to give them rather small values, say k_step_trans=0.01 and l_linstep=1, and to increase them slowly until the point at which the effect of increasing them gets noticeable.

-

Parameter fit with MontePython

-

(MontePython)[http://montepython.net/] is able to interact with the external_Pk mode transparently, using the custom parameters in an MCMC fit. One must just add the appropriate lines to the input file of MontePython. For our example, if we wanted to fit the amplitude and spectral index of the primordial spectrum, it would be: 

data.cosmo_arguments['P_k_ini type'] = 'external_Pk'
-data.cosmo_arguments['command'] = '/path/to/CLASS/external_Pk/generate_Pk_example.py'
-data.cosmo_arguments['custom1'] = 0.05                                   # k_pivot
-data.parameters['custom2']      = [ 2.2,  0, -1,  0.055, 1.e-9, 'cosmo'] # A_s
-data.parameters['custom3']      = [  1.,  0, -1, 0.0074,     1, 'cosmo'] # n_s
-

Notice that since in our case custom1 represents the pivot scale, it is passed as a (non-varying) argument, instead of as a (varying) parameter.

-

In this case, one would not include the corresponding lines for the primordial parameters of CLASS: k_pivot, A_s, n_s, alpha_s, etc. They would simply be ignored.

-

Limitations

-
    -
  • So far, this mode cannot handle vector perturbations, nor isocurvature initial conditions.
    • -
  • The external script knows nothing about the rest of the CLASS parameters, so if it needs, e.g., k_pivot, it should be either hard coded, or its value passed as one of the custom parameters.
    • -
-
-
- - - - diff --git a/doc/manual/html/md_chap2.html b/doc/manual/html/md_chap2.html deleted file mode 100644 index 31cb9344..00000000 --- a/doc/manual/html/md_chap2.html +++ /dev/null @@ -1,164 +0,0 @@ - - - - - - - -CLASS MANUAL: Where to find information and documentation on CLASS? - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
Where to find information and documentation on CLASS?
-
-
-

Author: Julien Lesgourgues

-
    -
  • For what the code can actually compute: all possible input parameters, all coded cosmological models, all functionalities, all observables, etc.: read the file explanatory.ini in the main CLASS directory: it is THE reference file where we keep track of all possible input and the definition of all input parameters. For that reason we recommend to leave it always unchanged and to work with copies of it, or with short input files written from scratch.
    • -

  • For the structure, style, and concrete aspects of the code: this documentation, especially the CLASS overview chapter (the extensive automatically-generated part of this documentation is more for advanced users); plus the slides of our CLASS lectures, for instance those from Tokyo 2014 available at

    -

    http://lesgourg.github.io/class-tour-Tokyo.html

    -

    or the more recent and concise summary from the Narbonne 2016 lecture available at

    -

    http://lesgourg.github.io/class-tour/Narbonne.pdf

    -

    An updated overview of available CLASS lecture slides is always available at

    -

    http://lesgourg.github.io/courses.html

    -

    in the section Courses on numerical tools.

    -
    • -

  • For the python wrapper of CLASS: at the moment, the best are the last slides (pages 75-96) of the Narbonne 2016 lectures

    -

    http://lesgourg.github.io/class-tour/Narbonne.pdf

    -

    Later we will expand the wrapper documentation with a dedicated chapter here.

    -
    • -

  • For the physics and equations used in the code: mainly, the following papers:

      -

    • Cosmological perturbation theory in the synchronous and conformal Newtonian gauges

      -

      C. P. Ma and E. Bertschinger.

      -

      http://arxiv.org/abs/astro-ph/9506072

      -

      10.1086/176550

      -

      Astrophys. J. 455, 7 (1995)

      -
      • -

    • The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes

      -

      D. Blas, J. Lesgourgues and T. Tram.

      -

      http://arxiv.org/abs/1104.2933 [astro-ph.CO]

      -

      10.1088/1475-7516/2011/07/034

      -

      JCAP 1107, 034 (2011)

      -
      • -

    • The Cosmic Linear Anisotropy Solving System (CLASS) IV: efficient implementation of non-cold relics

      -

      J. Lesgourgues and T. Tram.

      -

      http://arxiv.org/abs/1104.2935 [astro-ph.CO]

      -

      10.1088/1475-7516/2011/09/032

      -

      JCAP 1109, 032 (2011)

      -
      • -

    • Optimal polarisation equations in FLRW universes

      -

      T. Tram and J. Lesgourgues.

      -

      http://arxiv.org/abs/1305.3261 [astro-ph.CO]

      -

      10.1088/1475-7516/2013/10/002

      -

      JCAP 1310, 002 (2013)

      -
      • -

    • Fast and accurate CMB computations in non-flat FLRW universes

      -

      J. Lesgourgues and T. Tram.

      -

      http://arxiv.org/abs/1312.2697 [astro-ph.CO]

      -

      10.1088/1475-7516/2014/09/032

      -

      JCAP 1409, no. 09, 032 (2014)

      -
      • -

    • The CLASSgal code for Relativistic Cosmological Large Scale Structure

      -

      E. Di Dio, F. Montanari, J. Lesgourgues and R. Durrer.

      -

      http://arxiv.org/abs/1307.1459 [astro-ph.CO]

      -

      10.1088/1475-7516/2013/11/044

      -

      JCAP 1311, 044 (2013)

      -
      • -
    -

    plus also some latex notes on specific sectors:

    -
    • -
-
-
- - - - diff --git a/doc/manual/html/md_chap3.html b/doc/manual/html/md_chap3.html deleted file mode 100644 index 22afd9d0..00000000 --- a/doc/manual/html/md_chap3.html +++ /dev/null @@ -1,345 +0,0 @@ - - - - - - - -CLASS MANUAL: CLASS overview (architecture, input/output, general principles) - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
CLASS overview (architecture, input/output, general principles)
-
-
-

Author: Julien Lesgourgues

-

Overall architecture of class

-

Files and directories

-

After downloading CLASS, one can see the following files in the root directory contains:

-
    -
  • some example of input files, the most important being explanatory.ini. a reference input file containing all possible flags, options and physical input parameters. While this documentation explains the structure and use of the code, explanatory.ini can be seen as the physical documentation of CLASS. The other input file are alternative parameter input files (ending with .ini) and precision input files (ending with .pre)
    • -
  • the Makefile, with which you can compile the code by typing make clean; make; this will create the executable class and some binary files in the directory build/. The Makefile contains other compilation options that you can view inside the file.
    • -
  • CPU.py is a python script designed for plotting the CLASS output; for documentation type python CPU.py --help
    • -
  • plot_CLASS_output.m is the counterpart of CPU.py for MatLab
    • -
  • there are other input files for various applications: an example of a non-cold dark matter distribution functions (psd_FD_single.dat), and examples of evolution and selection functions for galaxy number count observables (myevolution.dat, myselection.dat).
    • -
-

Other files are split between the following directories:

-
    -
  • source/ contains the C files for each CLASS module, i.e. each block containing some part of the physical equations and logic of the Boltzmann code.
    • -
  • tools/ contains purely numerical algorithms, applicable in any context: integrators, simple manipulation of arrays (derivation, integration, interpolation), Bessel function calculation, quadrature algorithms, parser, etc.
    • -
  • main/ contains the main module class.c with the main routine class(...), to be used in interactive runs (but not necessarily when the code is interfaced with other ones).
    • -
  • test/ contains alternative main routines which can be used to run only some part of the code, to test its accuracy, to illustrate how it can be interfaced with other codes, etc.
    • -
  • include/ contains all the include files with a .h suffix.
    • -
  • output/ is where the output files will be written by default (this can be changed to another directory by adjusting the input parameter root = <...>)
    • -
  • python/ contains the python wrapper of CLASS, called classy (see python/README)
    • -
  • cpp/ contains the C++ wrapper of CLASS, called ClassEngine (see cpp/README)
    • -
  • doc/ contains the automatic documentation (manual and input files required to build it)
    • -
  • external_Pk/ contains examples of external codes that can be used to generate the primordial spectrum and be interfaced with CLASS, when one of the many options already built inside the code are not sufficient.
    • -
  • bbn/ contains interpolation tables produced by BBN codes, in order to predict e.g. $ Y_\mathrm{He}(\omega_b, \Delta N_\mathrm{eff})$.
    • -
  • hyrec/ contains the recombination code HyRec of Yacine Ali-Haimoud and Chris Hirata, that can be used as an alternative to the built-in Recfast (using the input parameter recombination = <...>).
    • -
-

The ten-module backbone

-

Ten tasks

-

The purpose of class consists in computing some background quantities, thermodynamical quantities, perturbation transfer functions, and finally 2-point statistics (power spectra) for a given set of cosmological parameters. This task can be decomposed in few steps or modules:

-
    -
  1. set input parameter values.
    2. -
  2. compute the evolution of cosmological background quantities.
    3. -
  3. compute the evolution of thermodynamical quantities (ionization fractions, etc.)
    4. -
  4. compute the evolution of source functions $S(k,\tau)$ (by integrating over all perturbations).
    5. -
  5. compute the primordial spectra.
    6. -
  6. eventually, compute non-linear corrections at small redshift/large wavenumber.
    7. -
  7. compute transfer functions in harmonic space $\Delta_l(k)$ (unless one needs only Fourier spectra $P(k)$'s and no harmonic spectra $C_l$'s).
    8. -
  8. compute the observable power spectra $C_l$'s (by convolving the primordial spectra and the harmonic transfer functions) and/or $P(k)$'s (by multiplying the primordial spectra and the appropriate source functions $S(k,\tau)$).
    9. -
  9. eventually, compute the lensed CMB spectra (using second-order perturbation theory)
    10. -
  10. write results in files (when CLASS is used interactively. The python wrapper does not go through this step, after 1.-9. it just keeps the output stored internally).
    11. -
-

Ten structures

-

In class, each of these steps is associated with a structure:

-
    -
  1. struct precision for input precision parameters (input physical parameters are dispatched among the other structures listed below)
    2. -
  2. struct background for cosmological background,
    3. -
  3. struct thermo for thermodynamics,
    4. -
  4. struct perturbs for source functions,
    5. -
  5. struct primordial for primordial spectra,
    6. -
  6. struct nonlinear for nonlinear corrections,
    7. -
  7. struct transfers for transfer functions,
    8. -
  8. struct spectra for observable spectra,
    9. -
  9. struct lensing for lensed CMB spectra,
    10. -
  10. struct output for auxiliary variable describing the output format.
    11. -
-

A given structure contains "everything concerning one step that the -subsequent steps need to know" (for instance, struct perturbs contains everything about source functions that the transfer module needs to know). In particular, each structure contains one array of tabulated values (for struct background, background quantities as a function of time, for struct thermo, thermodynamical quantities as a function of redshift, for struct perturbs, sources $S(k, \tau)$, etc.). It also contains information about the size of this array and the value of the index of each physical quantity, so that the table can be easily read and interpolated. Finally, it contains any derived quantity that other modules might need to know. Hence, the communication from one module A to another module B consists in passing a pointer to the structure filled by A, and nothing else.

-

All "precision parameters" are grouped in the single structure struct precision. The code contains no other arbitrary numerical coefficient.

-

Ten modules

-

Each structure is defined and filled in one of the following modules (and precisely in the order below):

-
    -
  1. input.c
    2. -
  2. background.c
    3. -
  3. thermodynamics.c
    4. -
  4. perturbations.c
    5. -
  5. primordial.c
    6. -
  6. nonlinear.c
    7. -
  7. transfer.c
    8. -
  8. spectra.c
    9. -
  9. lensing.c
    10. -
  10. output.c
    11. -
-

Each of these modules contains at least three functions:

-
    -
  • module_init(...)
    • -
  • module_free(...)
    • -
  • module_something_at_somevalue
    • -
-

where module is one of input, background, thermodynamics, perturb, primordial, nonlinear, transfer, spectra, lensing, output.

-

The first function allocates and fills each structure. This can be done provided that the previous structures in the hierarchy have been already allocated and filled. In summary, calling one of module_init(...) amounts in solving entirely one of the steps 1 to 10.

-

The second function deallocates the fields of each structure. This can be done optionally at the end of the code (or, when the code is embedded in a sampler, this must be done between each execution of class, and especially before calling module_init(...) again with different input parameters).

-

The third function is able to interpolate the pre-computed tables. For instance, background_init() fills a table of background quantities for discrete values of conformal time $\tau$, but background_at_tau(tau, * values) will return these values for any arbitrary $\tau$.

-

Note that functions of the type module_something_at_somevalue are the only ones which are called from another module, while functions of the type module_init(...) and module_free(...) are the only one called by the main executable. All other functions are for internal use in each module.

-

When writing a C code, the ordering of the functions in the *.c file is in principle arbitrary. However, for the sake of clarity, we always respected the following order in each CLASS module:

-
    -
  1. all functions that may be called by other modules, i.e. "external functions", usually named like module_something_at_somevalue(...)
    2. -
  2. then, module_init(...)
    3. -
  3. then, module_free()
    4. -
  4. then, all functions used only internally by the module
    5. -
-

The main() function(s)

-

The main.c file

-

The main executable of class is the function main() located in the file main/main.c. This function consist only in the following lines (not including comments and error-management lines explained later): 

main() {
- struct precision pr;
-
- struct background ba;
-
- struct thermo th;
-
- struct perturbs pt;
-
- struct primordial pm;
-
- struct nonlinear nl;
-
- struct transfers tr;
-
- struct spectra sp;
-
- struct lensing le;
-
- struct output op;
-
-
- input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg);
-
- background_init(&pr,&ba);
-
- thermodynamics_init(&pr,&ba,&th);
-
- perturb_init(&pr,&ba,&th,&pt);
-
- primordial_init(&pr,&pt,&pm);
-
- nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl);
-
- transfer_init(&pr,&ba,&th,&pt,&nl,&tr);
-
- spectra_init(&pr,&ba,&pt,&pm,&nl,&tr,&sp);
-
- lensing_init(&pr,&pt,&sp,&nl,&le);
-
- output_init(&ba,&th,&pt,&pm,&tr,&sp,&nl,&le,&op)
-
-
- /****** done ******/
-
-
- lensing_free(&le);
-
- spectra_free(&sp);
-
- transfer_free(&tr);
-
- nonlinear_free(&nl);
-
- primordial_free(&pm);
-
- perturb_free(&pt);
-
- thermodynamics_free(&th);
-
- background_free(&ba);
-

We can come back on the role of each argument. The arguments above are all pointers to the 10 structures of the code, excepted argc, argv which contains the input files passed by the user, and errmsg which contains the output error message of the input module (error management will be described below).

-

input_init_from_arguments needs all structures, because it will set the precision parameters inside the precision structure, and the physical parameters in some fields of the respective other structures. For instance, an input parameter relevant for the primordial spectrum calculation (like the tilt $n_s$) will be stored in the primordial structure. Hence, in input_init_from_arguments, all structures can be seen as output arguments.

-

Other module_init() functions typically need all previous structures, which contain the result of the previous modules, plus its own structures, which contain some relevant input parameters before the function is called, as well as all the result form the module when the function has been executed. Hence all passed structures can be seen as input argument, excepted the last one which is both input and output. An example is perturb_init(&pr,&ba,&th,&pt).

-

Each function module_init() does not need all previous structures, it happens that a module does not depend on a all previous one. For instance, the primordial module does not need information on the background and thermodynamics evolution in order to compute the primordial spectra, so the dependency is reduced: primordial_init(&pr,&pt,&pm).

-

Each function module_init() only deallocates arrays defined in the structure of their own module, so they need only their own structure as argument. (This is possible because all structures are self-contained, in the sense that when the structure contains an allocated array, it also contains the size of this array). The first and last module, input and output, have no input_free() or output_free() functions, because the structures precision and output do not contain arrays that would need to be de-allocated after the execution of the module.

-

The test_<...>.c files

-

For a given purpose, somebody could only be interested in the intermediate steps (only background quantities, only the thermodynamics, only the perturbations and sources, etc.) It is then straightforward to truncate the full hierarchy of modules 1, ... 10 at some arbitrary order. We provide several "reduced executables" achieving precisely this. They are located in test/test_module_.c (like, for instance, test/test_perturbations.c) and they can be complied using the Makefile, which contains the appropriate commands and definitions (for instance, you can type make test_perturbations).

-

The test/ directory contains other useful example of alternative main functions, like for instance test_loops.c which shows how to call CLASS within a loop over different parameter values. There is also a version test/test_loops_omp.c using a double level of openMP parallelisation: one for running several CLASS instances in parallel, one for running each CLASS instance on several cores. The comments in these files are self-explanatory.

-

Input/output

-

Input

-

There are two types of input:

-
    -
  • "precision parameters" (controlling the precision of the output and the execution time),
    • -
  • "input parameters" (cosmological parameters, flags telling to the code what it should compute, ...)
    • -
-

The code can be executed with a maximum of two input files, e.g. 

 ./class explanatory.ini cl_permille.pre
-

The file with a .ini extension is the cosmological parameter input file, and the one with a .pre extension is the precision file. Both files are optional: all parameters are set to default values corresponding to the "most usual choices", and are eventually replaced by the parameters passed in the two input files. For instance, if one is happy with default accuracy settings, it is enough to run with 

 ./class explanatory.ini
-

Input files do not necessarily contain a line for each parameter, since many of them can be left to default value. The example file explanatory.ini is very long and somewhat indigestible, since it contains all possible parameters, together with lengthy explanations. We recommend to keep this file unchanged for reference, and to copy it in e.g. test.ini. In the latter file, the user can erase all sections in which he/she is absolutely not interested (e.g., all the part on isocurvature modes, or on tensors, or on non-cold species, etc.). Another option is to create an input file from scratch, copying just the relevant lines from explanatory.ini. For the simplest applications, the user will just need a few lines for basic cosmological parameters, one line for the output entry (where one can specifying which power spectra must be computed), and one line for the root entry (specifying the prefix of all output files).

-

The syntax of the input files is explained at the beginning of explanatory.ini. Typically, lines in those files look like:

-
  parameter1 = value1
-
-  free comments
-
-  parameter2 = value2 # further comments
-
-  # commented_parameter = commented_value
-

and parameters can be entered in arbitrary order. This is rather intuitive. The user should just be careful not to put an "=" sign not preceded by a "#" sign inside a comment: the code would then think that one is trying to pass some unidentified input parameter.

-

The syntax for the cosmological and precision parameters is the same. It is clearer to split these parameters in the two files .ini and .pre, but there is no strict rule about which parameter goes into which file: in principle, precision parameters could be passed in the .ini, and vice-versa. The only important thing is not to pass the same parameter twice: the code would then complain and not run.

-

The CLASS input files are also user-friendly in the sense that many different cosmological parameter bases can be used. This is made possible by the fact that the code does not only read parameters, it "interprets them" with the level of logic which has been coded in the input.c module. For instance, the Hubble parameter, the photon density, the baryon density and the ultra-relativistic neutrino density can be entered as: 

  h = 0.7
-
-  T_cmb = 2.726     # Kelvin units
-
-  omega_b = 0.02
-
-  N_eff = 3.04
-

(in arbitrary order), or as

-
  H0 = 70
-
-  omega_g = 2.5e-5     # g is the label for photons
-
-  Omega_b = 0.04
-
-  omega_ur = 1.7e-5    # ur is the label for ultra-relativistic species
-

or any combination of the two. The code knows that for the photon density, one should pass one (but not more than one) parameter out of T_cmb, omega_g, Omega_g (where small omega's refer to $\omega_i \equiv \Omega_i h^2$). It searches for one of these values, and if needed, it converts it into one of the other two parameters, using also other input parameters. For instance, omega_g will be converted into Omega_g even if $h$ is written later in the file than omega_g: the order makes no difference. Lots of alternatives have been defined. If the code finds that not enough parameters have been passed for making consistent deductions, it will complete the missing information with in-built default values. On the contrary, if it finds that there is too much information and no unique solution, it will complain and return an error.

-

In summary, the input syntax has been defined in such way that the user does not need to think too much, and can pass his preferred set of parameters in a nearly informal way.

-

Let us mention a two useful parameters defined at the end of explanatory.ini, that we recommend setting to yes in order to run the code in a safe way:

-

write parameters = [yes or no] (default: no)

-

When set to yes, all input/precision parameters which have been read are written in a file <root>parameters.ini, to keep track all the details of this execution; this file can also be re-used as a new input file. Also, with this option, all parameters that have been passed and that the code did not read (because the syntax was wrong, or because the parameter was not relevant in the context of the run) are written in a file <root>unused_parameters. When you have doubts about your input or your results, you can check what is in there.

-

write warnings = [yes or no] (default: no)

-

When set to yes, the parameters that have been passed and that the code did not read (because the syntax was wrong, or because the parameter was not relevant in the context of the run) are written in the standard output as [Warning:]....

-

There is also a list of "verbose" parameters at the end of explanatory.ini. They can be used to control the level of information passed to the standard output (0 means silent; 1 means normal, e.g. information on age of the universe, etc.; 2 is useful for instance when you want to check on how many cores the run is parallelised; 3 and more are intended for debugging).

-

CLASS comes with a list of precision parameter files ending by .pre. Honestly we have not been updating all these files recently, and we need to do a bit of cleaning there. However you can trust cl_ref.pre. We have derived this file by studying both the convergence of the CMB output with respect to all CLASS precision parameters, and the agreement with CAMB. We consider that this file generates good reference CMB spectra, accurate up to the hundredth of per cent level, as explained in the CLASS IV paper and re-checked since then. You can try it with e.g. 

./class explanatory.ini cl_ref.pre
-

but the run will be extremely long. This is an occasion to run a many-core machine with a lot of RAM. It may work also on your laptop, but in half an hour or so.

-

If you want a reference matter power spectrum P(k), also accurate up to the hundredth of percent level, we recommend using the file pk_ref.pre, identical to cl_ref.pre excepted that the truncation of the neutrino hierarchy has been pushed to l_max_ur=150.

-

In order to increase moderately the precision to a tenth of percent, without prohibitive computing time, we recommend using cl_permille.pre.

-

Output

-

The input file may contain a line 

  root = <root>
-

where <root> is a path of your choice, e.g. output/test_. Then all output files will start like this, e.g. output/test_cl.dat, output/test_cl_lensed.dat, etc. Of course the number of output files depends on your settings in the input file. There can be input files for CMB, LSS, background, thermodynamics, transfer functions, primordial spectra, etc. All this is documented in explanatory.ini.

-

If you do not pass explicitly a root = <root>, the code will name the output in its own way, by concatenating output/, the name of the input parameter file, and the first available integer number, e.g. 

 output/explanatory03_cl.dat, etc.
-

General principles

-

Error management

-

Error management is based on the fact that all functions are defined as integers returning either _SUCCESS_ or _FAILURE_. Before returning _FAILURE_, they write an error message in the structure of the module to which they belong. The calling function will read this message, append it to its own error message, and return a _FAILURE_; and so on and so forth, until the main routine is reached. This error management allows the user to see the whole nested structure of error messages when an error has been met. The structure associated to each module contains a field for writing error messages, called structure_i.error_message, where structure_i could be one of background, thermo, perturbs, etc. So, when a function from a module $i$ is called within module $j$ and returns an error, the goal is to write in structure_j.error_message a local error message, and to append to it the error message in structure_i.error_message. These steps are implemented in a macro class_call(), used for calling whatever function:

-
  class_call(module_i_function(...,structure_i),
-            structure_i.error_message,
-            structure_j.error_message);
-

So, the first argument of call_call() is the function we want to call; the second argument is the location of the error message returned by this function; and the third one is the location of the error message which should be returned to the higher level. Usually, in the bulk of the code, we use pointer to structures rather than structure themselves; then the syntax is 

  class_call(module_i_function(...,pi),
-         pi->error_message,
-         pj->error_message);`
-

where in this generic example, pi and pj are assumed to be pointers towards the structures structure_i and structure_j.

-

The user will find in include/common.h a list of additional macros, all starting by class_...(), which are all based on this logic. For instance, the macro class_test() offers a generic way to return an error in a standard format if a condition is not fulfilled. A typical error message from CLASS looks like:

-

Error in module_j_function1

-

module_j_function1 (L:340) : error in module_i_function2(...)

-

module_i_function2 (L:275) : error in module_k_function3(...)

-

...

-

=> module_x_functionN (L:735) : your choice of input parameter blabla=30 is not consistent with the constraint blabla<1

-

where the L's refer to line numbers in each file. These error messages are very informative, and are built almost entirely automatically by the macros. For instance, in the above example, it was only necessary to write inside the function module_x_functionN() a test like:

-
  class_test(blabla >= 1,
-              px->error_message,
-           "your choice of input parameter blabla=%e
-  is not consistent with the constraint blabla<%e",
-             blabla,blablamax);
-

All the rest was added step by step by the various class_call() macros.

-

Dynamical allocation of indices

-

On might be tempted to decide that in a given array, matrix or vector, a given quantity is associated with an explicit index value. However, when modifying the code, extra entries will be needed and will mess up the initial scheme; the user will need to study which index is associated to which quantity, and possibly make an error. All this can be avoided by using systematically a dynamical index allocation. This means that all indices remain under a symbolic form, and in each, run the code attributes automatically a value to each index. The user never needs to know this value.

-

Dynamical indexing is implemented in a very generic way in CLASS, the same rules apply everywhere. They are explained in these lecture slides:

-

https://www.dropbox.com/sh/ma5muh76sggwk8k/AABl_DDUBEzAjjdywMjeTya2a?dl=0

-

in the folder CLASS_Lecture_slides/lecture5_index_and_error.pdf.

-

No hard coding

-

Any feature or equation which could be true in one cosmology and not in another one should not be written explicitly in the code, and should not be taken as granted in several other places. Discretization and integration steps are usually defined automatically by the code for each cosmology, instead of being set to something which might be optimal for minimal models, and not sufficient for other ones. You will find many example of this in the code. As a consequence, in the list of precision parameter, you rarely find actual stepsize. You find rather parameters representing the ratio between a stepsize and a physical quantity computed for each cosmology.

-

Modifying the code

-

Implementing a new idea completly from scratch would be rather intimidating, even for the main developpers of CLASS. Fortunately, we never have to work from scratch. Usually we want to code a new species, a new observable, a new approximation scheme, etc. The trick is to think of another species, observable, approximation scheme, etc., looking as close as possible to the new one.

-

Then, playing with the grep command and the search command of your editor, search for all occurences of this nearest-as-possible other feature. This is usually easy thanks to our naming scheme. For each species, observable, approximation scheme, etc., we usually use the same sequence of few letters everywhere (fo instance, fld for the fluid usually representing Dark Energy). Grep for fld and you'll get all the lines related to the fluid. There is another way: we use everywhere some conditional jumps related to a given feature. For instance, the lines related to the fluid are always in between if (pba->has_fld == _TRUE_) { ... } and the lines related to the cosmic shear observables are always in between if (ppt->has_lensing_potential == _TRUE_) { ... }. Locating these flags and conditional jumps shows you all the parts related to a given feature/ingredient.

-

Once you have localised your nearest-as-possible other feature, you can copy/paste these lines and adapt them to the case of your new feature! You are then sure that you didn't miss any step, even the smallest technical steps (definition of indices, etc.)

-

Units

-

Internally, the code uses almost everywhere units of Mpc to some power, excepted in the inflation module, where many quantities are in natural units (wrt the true Planck mass).

-
-
- - - - diff --git a/doc/manual/html/md_mod.html b/doc/manual/html/md_mod.html deleted file mode 100644 index 51634e8d..00000000 --- a/doc/manual/html/md_mod.html +++ /dev/null @@ -1,116 +0,0 @@ - - - - - - - -CLASS MANUAL: Updating the manual - - - - - - - - - - - - - - -
-
- - - - - - -
-
CLASS MANUAL -
-
-
- - - - - - - -
-
- -
-
-
- -
- -
-
- - -
- -
- -
-
-
Updating the manual
-
-
-

Author: D. C. Hooper (hoope.nosp@m.r@ph.nosp@m.ysik..nosp@m.rwth.nosp@m.-aach.nosp@m.en.d.nosp@m.e)

-

This pdf manual and accompanying web version have been generated using the doxygen software (http://www.doxygen.org). This software directly reads the code and extracts the necessary comments to form the manual, meaning it is very easy to generate newer versions of the manual as desired.

-

For CLASS developpers:

-

To maintain the usefulness of the manual, a new version should be generated after any major upgrade to CLASS. To keep track of how up-to-date the manual is the title page also displays the last modification date. The manual is generated automatically from the code, excepted a few chapters written manually in the files 

README.md
-doc/input/chap2.md
-doc/input/chap3.md
-doc/input/mod.md
-external_Pk/README.md
-

You can update these files, or add new ones that should be declared in the INPUT= field of doc/input/doxyconf.

-

Generating a new version of this manual is straightforward. First, you need to install the doxygen software, which can be done by following the instructions on the software's webpage. The location where you install this software is irrelevant; it doesn't need to be in the same folder as CLASS. For Mac OSX, homebrew users can install the software with brew install doxygen --with-graphviz.

-

Once installed, navigate to the class/doc/input directory and run the first script

-

. make1.sh

-

This will generate a new version of the html manual and the necessary files to make the pdf version. Unfortunately, doxygen does not yet offer the option to automatically order the output chapters in the pdf version of the manual. Hence, before compiling the pdf, this must be done manually. To do this you need to find the refman.tex file in class/doc/manual/latex. With this file you can modify the title page, headers, footers, and chapter ordering for the final pdf. Usually we just make two things: add manually the line 

\vspace*{1cm}
-{\large Last updated \today}\\
-

after 

{\Large C\+L\+A\+SS M\+A\+N\+U\+AL }\\
-

and move manually the chapters "The external Pk mode" and "Updating the manual" to the end, after the automatically generated part. Once you have this file with your desired configuration, navigate back to the class/doc/input directory, and run the second script

-

. make2.sh

-

You should now be able to find the finished pdf in class/doc/manual/CLASS_MANUAL.pdf. Finally you can commit the changes to git, but not all the content of doc/ is necessary: only doc/README, doc/input/, doc/manual/CLASS_MANUAL.pdf, doc/manual/html/. This means that before committing you will have to do a: git add doc/manual/html/, but NOT a: git add doc/manual/latex/!

-

As a final comment, doxygen uses two main configuration files: doxyconf and doxygen.sty, both located in class/doc/input. Changes to these files can dramatically impact the outcome, so any modifications to these files should be done with great care.

-
-
- - - - diff --git a/doc/manual/html/menu.js b/doc/manual/html/menu.js deleted file mode 100644 index 97db4c23..00000000 --- a/doc/manual/html/menu.js +++ /dev/null @@ -1,26 +0,0 @@ -function initMenu(relPath,searchEnabled,serverSide,searchPage,search) { - function makeTree(data,relPath) { - var result=''; - if ('children' in data) { - result+=''; - } - return result; - } - - $('#main-nav').append(makeTree(menudata,relPath)); - $('#main-nav').children(':first').addClass('sm sm-dox').attr('id','main-menu'); - if (searchEnabled) { - if (serverSide) { - $('#main-menu').append('
    • '); - } else { - $('#main-menu').append('
    • '); - } - } - $('#main-menu').smartmenus(); -} diff --git a/doc/manual/html/menudata.js b/doc/manual/html/menudata.js deleted file mode 100644 index 04e7f0ec..00000000 --- a/doc/manual/html/menudata.js +++ /dev/null @@ -1,91 +0,0 @@ -var menudata={children:[ -{text:"Main Page",url:"index.html"}, -{text:"Related Pages",url:"pages.html"}, -{text:"Data Structures",url:"annotated.html",children:[ -{text:"Data Structures",url:"annotated.html"}, -{text:"Data Fields",url:"functions.html",children:[ -{text:"All",url:"functions.html",children:[ -{text:"a",url:"functions.html#index_a"}, -{text:"b",url:"functions_b.html#index_b"}, -{text:"c",url:"functions_c.html#index_c"}, -{text:"d",url:"functions_d.html#index_d"}, -{text:"e",url:"functions_e.html#index_e"}, -{text:"f",url:"functions_f.html#index_f"}, -{text:"g",url:"functions_g.html#index_g"}, -{text:"h",url:"functions_h.html#index_h"}, -{text:"i",url:"functions_i.html#index_i"}, -{text:"k",url:"functions_k.html#index_k"}, -{text:"l",url:"functions_l.html#index_l"}, -{text:"m",url:"functions_m.html#index_m"}, -{text:"n",url:"functions_n.html#index_n"}, -{text:"o",url:"functions_o.html#index_o"}, -{text:"p",url:"functions_p.html#index_p"}, -{text:"q",url:"functions_q.html#index_q"}, -{text:"r",url:"functions_r.html#index_r"}, -{text:"s",url:"functions_s.html#index_s"}, -{text:"t",url:"functions_t.html#index_t"}, -{text:"u",url:"functions_u.html#index_u"}, -{text:"v",url:"functions_v.html#index_v"}, -{text:"w",url:"functions_w.html#index_w"}, -{text:"y",url:"functions_y.html#index_y"}, -{text:"z",url:"functions_z.html#index_z"}]}, -{text:"Variables",url:"functions_vars.html",children:[ -{text:"a",url:"functions_vars.html#index_a"}, -{text:"b",url:"functions_vars_b.html#index_b"}, -{text:"c",url:"functions_vars_c.html#index_c"}, -{text:"d",url:"functions_vars_d.html#index_d"}, -{text:"e",url:"functions_vars_e.html#index_e"}, -{text:"f",url:"functions_vars_f.html#index_f"}, -{text:"g",url:"functions_vars_g.html#index_g"}, -{text:"h",url:"functions_vars_h.html#index_h"}, -{text:"i",url:"functions_vars_i.html#index_i"}, -{text:"k",url:"functions_vars_k.html#index_k"}, -{text:"l",url:"functions_vars_l.html#index_l"}, -{text:"m",url:"functions_vars_m.html#index_m"}, -{text:"n",url:"functions_vars_n.html#index_n"}, -{text:"o",url:"functions_vars_o.html#index_o"}, -{text:"p",url:"functions_vars_p.html#index_p"}, -{text:"q",url:"functions_vars_q.html#index_q"}, -{text:"r",url:"functions_vars_r.html#index_r"}, -{text:"s",url:"functions_vars_s.html#index_s"}, -{text:"t",url:"functions_vars_t.html#index_t"}, -{text:"u",url:"functions_vars_u.html#index_u"}, -{text:"v",url:"functions_vars_v.html#index_v"}, -{text:"w",url:"functions_vars_w.html#index_w"}, -{text:"y",url:"functions_vars_y.html#index_y"}, -{text:"z",url:"functions_vars_z.html#index_z"}]}]}]}, -{text:"Files",url:"files.html",children:[ -{text:"File List",url:"files.html"}, -{text:"Globals",url:"globals.html",children:[ -{text:"All",url:"globals.html",children:[ -{text:"_",url:"globals.html#index__"}, -{text:"b",url:"globals_b.html#index_b"}, -{text:"c",url:"globals_c.html#index_c"}, -{text:"d",url:"globals_d.html#index_d"}, -{text:"e",url:"globals_e.html#index_e"}, -{text:"f",url:"globals_f.html#index_f"}, -{text:"g",url:"globals_g.html#index_g"}, -{text:"i",url:"globals_i.html#index_i"}, -{text:"l",url:"globals_l.html#index_l"}, -{text:"n",url:"globals_n.html#index_n"}, -{text:"o",url:"globals_o.html#index_o"}, -{text:"p",url:"globals_p.html#index_p"}, -{text:"r",url:"globals_r.html#index_r"}, -{text:"s",url:"globals_s.html#index_s"}, -{text:"t",url:"globals_t.html#index_t"}, -{text:"v",url:"globals_v.html#index_v"}]}, -{text:"Functions",url:"globals_func.html",children:[ -{text:"b",url:"globals_func.html#index_b"}, -{text:"c",url:"globals_func.html#index_c"}, -{text:"g",url:"globals_func.html#index_g"}, -{text:"i",url:"globals_func.html#index_i"}, -{text:"l",url:"globals_func.html#index_l"}, -{text:"n",url:"globals_func.html#index_n"}, -{text:"o",url:"globals_func.html#index_o"}, -{text:"p",url:"globals_func.html#index_p"}, -{text:"s",url:"globals_func.html#index_s"}, -{text:"t",url:"globals_func.html#index_t"}, -{text:"v",url:"globals_func.html#index_v"}]}, -{text:"Enumerations",url:"globals_enum.html"}, -{text:"Enumerator",url:"globals_eval.html"}, -{text:"Macros",url:"globals_defs.html"}]}]}]} diff --git a/doc/manual/html/nav_f.png b/doc/manual/html/nav_f.png deleted file mode 100644 index f19471d7..00000000 Binary files a/doc/manual/html/nav_f.png and /dev/null differ diff --git a/doc/manual/html/nav_g.png b/doc/manual/html/nav_g.png deleted file mode 100644 index 2093a237..00000000 Binary files a/doc/manual/html/nav_g.png and /dev/null differ diff --git a/doc/manual/html/nav_h.png b/doc/manual/html/nav_h.png deleted file mode 100644 index c75af6c2..00000000 Binary files a/doc/manual/html/nav_h.png and /dev/null differ diff --git a/doc/manual/html/navtree.css b/doc/manual/html/navtree.css deleted file mode 100644 index c5c8b56b..00000000 --- a/doc/manual/html/navtree.css +++ /dev/null @@ -1,146 +0,0 @@ -#nav-tree .children_ul { - margin:0; - padding:4px; -} - -#nav-tree ul { - list-style:none outside none; - margin:0px; - padding:0px; -} - -#nav-tree li { - white-space:nowrap; - margin:0px; - padding:0px; -} - -#nav-tree .plus { - margin:0px; -} - -#nav-tree .selected { - background-image: url('tab_a.png'); - background-repeat:repeat-x; - color: #fff; - text-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0); -} - -#nav-tree img { - margin:0px; - padding:0px; - border:0px; - vertical-align: middle; -} - -#nav-tree a { - text-decoration:none; - padding:0px; - margin:0px; - outline:none; -} - -#nav-tree .label { - margin:0px; - padding:0px; - font: 12px 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif; -} - -#nav-tree .label a { - padding:2px; -} - -#nav-tree .selected a { - text-decoration:none; - color:#fff; -} - -#nav-tree .children_ul { - margin:0px; - padding:0px; -} - -#nav-tree .item { - margin:0px; - padding:0px; -} - -#nav-tree { - padding: 0px 0px; - background-color: #FAFAFF; - font-size:14px; - overflow:auto; -} - -#doc-content { - overflow:auto; - display:block; - padding:0px; - margin:0px; - -webkit-overflow-scrolling : touch; /* iOS 5+ */ -} - -#side-nav { - padding:0 6px 0 0; - margin: 0px; - display:block; - position: absolute; - left: 0px; - width: 250px; -} - -.ui-resizable .ui-resizable-handle { - display:block; -} - -.ui-resizable-e { - background-image:url("splitbar.png"); - background-size:100%; - background-repeat:no-repeat; - background-attachment: scroll; - cursor:ew-resize; - height:100%; - right:0; - top:0; - width:6px; -} - -.ui-resizable-handle { - display:none; - font-size:0.1px; - position:absolute; - z-index:1; -} - -#nav-tree-contents { - margin: 6px 0px 0px 0px; -} - -#nav-tree { - background-image:url('nav_h.png'); - background-repeat:repeat-x; - background-color: #F7F9FE; - -webkit-overflow-scrolling : touch; /* iOS 5+ */ -} - -#nav-sync { - position:absolute; - top:5px; - right:24px; - z-index:0; -} - -#nav-sync img { - opacity:0.3; -} - -#nav-sync img:hover { - opacity:0.9; -} - -@media print -{ - #nav-tree { display: none; } - div.ui-resizable-handle { display: none; position: relative; } -} - diff --git a/doc/manual/html/navtree.js b/doc/manual/html/navtree.js deleted file mode 100644 index e6d31b00..00000000 --- a/doc/manual/html/navtree.js +++ /dev/null @@ -1,517 +0,0 @@ -var navTreeSubIndices = new Array(); -var arrowDown = '▼'; -var arrowRight = '►'; - -function getData(varName) -{ - var i = varName.lastIndexOf('/'); - var n = i>=0 ? varName.substring(i+1) : varName; - return eval(n.replace(/\-/g,'_')); -} - -function stripPath(uri) -{ - return uri.substring(uri.lastIndexOf('/')+1); -} - -function stripPath2(uri) -{ - var i = uri.lastIndexOf('/'); - var s = uri.substring(i+1); - var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/); - return m ? uri.substring(i-6) : s; -} - -function hashValue() -{ - return $(location).attr('hash').substring(1).replace(/[^\w\-]/g,''); -} - -function hashUrl() -{ - return '#'+hashValue(); -} - -function pathName() -{ - return $(location).attr('pathname').replace(/[^-A-Za-z0-9+&@#/%?=~_|!:,.;\(\)]/g, ''); -} - -function localStorageSupported() -{ - try { - return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem; - } - catch(e) { - return false; - } -} - - -function storeLink(link) -{ - if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) { - window.localStorage.setItem('navpath',link); - } -} - -function deleteLink() -{ - if (localStorageSupported()) { - window.localStorage.setItem('navpath',''); - } -} - -function cachedLink() -{ - if (localStorageSupported()) { - return window.localStorage.getItem('navpath'); - } else { - return ''; - } -} - -function getScript(scriptName,func,show) -{ - var head = document.getElementsByTagName("head")[0]; - var script = document.createElement('script'); - script.id = scriptName; - script.type = 'text/javascript'; - script.onload = func; - script.src = scriptName+'.js'; - if ($.browser.msie && $.browser.version<=8) { - // script.onload does not work with older versions of IE - script.onreadystatechange = function() { - if (script.readyState=='complete' || script.readyState=='loaded') { - func(); if (show) showRoot(); - } - } - } - head.appendChild(script); -} - -function createIndent(o,domNode,node,level) -{ - var level=-1; - var n = node; - while (n.parentNode) { level++; n=n.parentNode; } - if (node.childrenData) { - var imgNode = document.createElement("span"); - imgNode.className = 'arrow'; - imgNode.style.paddingLeft=(16*level).toString()+'px'; - imgNode.innerHTML=arrowRight; - node.plus_img = imgNode; - node.expandToggle = document.createElement("a"); - node.expandToggle.href = "javascript:void(0)"; - node.expandToggle.onclick = function() { - if (node.expanded) { - $(node.getChildrenUL()).slideUp("fast"); - node.plus_img.innerHTML=arrowRight; - node.expanded = false; - } else { - expandNode(o, node, false, false); - } - } - node.expandToggle.appendChild(imgNode); - domNode.appendChild(node.expandToggle); - } else { - var span = document.createElement("span"); - span.className = 'arrow'; - span.style.width = 16*(level+1)+'px'; - span.innerHTML = ' '; - domNode.appendChild(span); - } -} - -var animationInProgress = false; - -function gotoAnchor(anchor,aname,updateLocation) -{ - var pos, docContent = $('#doc-content'); - var ancParent = $(anchor.parent()); - if (ancParent.hasClass('memItemLeft') || - ancParent.hasClass('fieldname') || - ancParent.hasClass('fieldtype') || - ancParent.is(':header')) - { - pos = ancParent.position().top; - } else if (anchor.position()) { - pos = anchor.position().top; - } - if (pos) { - var dist = Math.abs(Math.min( - pos-docContent.offset().top, - docContent[0].scrollHeight- - docContent.height()-docContent.scrollTop())); - animationInProgress=true; - docContent.animate({ - scrollTop: pos + docContent.scrollTop() - docContent.offset().top - },Math.max(50,Math.min(500,dist)),function(){ - if (updateLocation) window.location.href=aname; - animationInProgress=false; - }); - } -} - -function newNode(o, po, text, link, childrenData, lastNode) -{ - var node = new Object(); - node.children = Array(); - node.childrenData = childrenData; - node.depth = po.depth + 1; - node.relpath = po.relpath; - node.isLast = lastNode; - - node.li = document.createElement("li"); - po.getChildrenUL().appendChild(node.li); - node.parentNode = po; - - node.itemDiv = document.createElement("div"); - node.itemDiv.className = "item"; - - node.labelSpan = document.createElement("span"); - node.labelSpan.className = "label"; - - createIndent(o,node.itemDiv,node,0); - node.itemDiv.appendChild(node.labelSpan); - node.li.appendChild(node.itemDiv); - - var a = document.createElement("a"); - node.labelSpan.appendChild(a); - node.label = document.createTextNode(text); - node.expanded = false; - a.appendChild(node.label); - if (link) { - var url; - if (link.substring(0,1)=='^') { - url = link.substring(1); - link = url; - } else { - url = node.relpath+link; - } - a.className = stripPath(link.replace('#',':')); - if (link.indexOf('#')!=-1) { - var aname = '#'+link.split('#')[1]; - var srcPage = stripPath(pathName()); - var targetPage = stripPath(link.split('#')[0]); - a.href = srcPage!=targetPage ? url : "javascript:void(0)"; - a.onclick = function(){ - storeLink(link); - if (!$(a).parent().parent().hasClass('selected')) - { - $('.item').removeClass('selected'); - $('.item').removeAttr('id'); - $(a).parent().parent().addClass('selected'); - $(a).parent().parent().attr('id','selected'); - } - var anchor = $(aname); - gotoAnchor(anchor,aname,true); - }; - } else { - a.href = url; - a.onclick = function() { storeLink(link); } - } - } else { - if (childrenData != null) - { - a.className = "nolink"; - a.href = "javascript:void(0)"; - a.onclick = node.expandToggle.onclick; - } - } - - node.childrenUL = null; - node.getChildrenUL = function() { - if (!node.childrenUL) { - node.childrenUL = document.createElement("ul"); - node.childrenUL.className = "children_ul"; - node.childrenUL.style.display = "none"; - node.li.appendChild(node.childrenUL); - } - return node.childrenUL; - }; - - return node; -} - -function showRoot() -{ - var headerHeight = $("#top").height(); - var footerHeight = $("#nav-path").height(); - var windowHeight = $(window).height() - headerHeight - footerHeight; - (function (){ // retry until we can scroll to the selected item - try { - var navtree=$('#nav-tree'); - navtree.scrollTo('#selected',0,{offset:-windowHeight/2}); - } catch (err) { - setTimeout(arguments.callee, 0); - } - })(); -} - -function expandNode(o, node, imm, showRoot) -{ - if (node.childrenData && !node.expanded) { - if (typeof(node.childrenData)==='string') { - var varName = node.childrenData; - getScript(node.relpath+varName,function(){ - node.childrenData = getData(varName); - expandNode(o, node, imm, showRoot); - }, showRoot); - } else { - if (!node.childrenVisited) { - getNode(o, node); - } if (imm || ($.browser.msie && $.browser.version>8)) { - // somehow slideDown jumps to the start of tree for IE9 :-( - $(node.getChildrenUL()).show(); - } else { - $(node.getChildrenUL()).slideDown("fast"); - } - node.plus_img.innerHTML = arrowDown; - node.expanded = true; - } - } -} - -function glowEffect(n,duration) -{ - n.addClass('glow').delay(duration).queue(function(next){ - $(this).removeClass('glow');next(); - }); -} - -function highlightAnchor() -{ - var aname = hashUrl(); - var anchor = $(aname); - if (anchor.parent().attr('class')=='memItemLeft'){ - var rows = $('.memberdecls tr[class$="'+hashValue()+'"]'); - glowEffect(rows.children(),300); // member without details - } else if (anchor.parent().attr('class')=='fieldname'){ - glowEffect(anchor.parent().parent(),1000); // enum value - } else if (anchor.parent().attr('class')=='fieldtype'){ - glowEffect(anchor.parent().parent(),1000); // struct field - } else if (anchor.parent().is(":header")) { - glowEffect(anchor.parent(),1000); // section header - } else { - glowEffect(anchor.next(),1000); // normal member - } - gotoAnchor(anchor,aname,false); -} - -function selectAndHighlight(hash,n) -{ - var a; - if (hash) { - var link=stripPath(pathName())+':'+hash.substring(1); - a=$('.item a[class$="'+link+'"]'); - } - if (a && a.length) { - a.parent().parent().addClass('selected'); - a.parent().parent().attr('id','selected'); - highlightAnchor(); - } else if (n) { - $(n.itemDiv).addClass('selected'); - $(n.itemDiv).attr('id','selected'); - } - if ($('#nav-tree-contents .item:first').hasClass('selected')) { - $('#nav-sync').css('top','30px'); - } else { - $('#nav-sync').css('top','5px'); - } - showRoot(); -} - -function showNode(o, node, index, hash) -{ - if (node && node.childrenData) { - if (typeof(node.childrenData)==='string') { - var varName = node.childrenData; - getScript(node.relpath+varName,function(){ - node.childrenData = getData(varName); - showNode(o,node,index,hash); - },true); - } else { - if (!node.childrenVisited) { - getNode(o, node); - } - $(node.getChildrenUL()).css({'display':'block'}); - node.plus_img.innerHTML = arrowDown; - node.expanded = true; - var n = node.children[o.breadcrumbs[index]]; - if (index+11) hash = '#'+parts[1].replace(/[^\w\-]/g,''); - else hash=''; - } - if (hash.match(/^#l\d+$/)) { - var anchor=$('a[name='+hash.substring(1)+']'); - glowEffect(anchor.parent(),1000); // line number - hash=''; // strip line number anchors - } - var url=root+hash; - var i=-1; - while (NAVTREEINDEX[i+1]<=url) i++; - if (i==-1) { i=0; root=NAVTREE[0][1]; } // fallback: show index - if (navTreeSubIndices[i]) { - gotoNode(o,i,root,hash,relpath) - } else { - getScript(relpath+'navtreeindex'+i,function(){ - navTreeSubIndices[i] = eval('NAVTREEINDEX'+i); - if (navTreeSubIndices[i]) { - gotoNode(o,i,root,hash,relpath); - } - },true); - } -} - -function showSyncOff(n,relpath) -{ - n.html(''); -} - -function showSyncOn(n,relpath) -{ - n.html(''); -} - -function toggleSyncButton(relpath) -{ - var navSync = $('#nav-sync'); - if (navSync.hasClass('sync')) { - navSync.removeClass('sync'); - showSyncOff(navSync,relpath); - storeLink(stripPath2(pathName())+hashUrl()); - } else { - navSync.addClass('sync'); - showSyncOn(navSync,relpath); - deleteLink(); - } -} - -function initNavTree(toroot,relpath) -{ - var o = new Object(); - o.toroot = toroot; - o.node = new Object(); - o.node.li = document.getElementById("nav-tree-contents"); - o.node.childrenData = NAVTREE; - o.node.children = new Array(); - o.node.childrenUL = document.createElement("ul"); - o.node.getChildrenUL = function() { return o.node.childrenUL; }; - o.node.li.appendChild(o.node.childrenUL); - o.node.depth = 0; - o.node.relpath = relpath; - o.node.expanded = false; - o.node.isLast = true; - o.node.plus_img = document.createElement("span"); - o.node.plus_img.className = 'arrow'; - o.node.plus_img.innerHTML = arrowRight; - - if (localStorageSupported()) { - var navSync = $('#nav-sync'); - if (cachedLink()) { - showSyncOff(navSync,relpath); - navSync.removeClass('sync'); - } else { - showSyncOn(navSync,relpath); - } - navSync.click(function(){ toggleSyncButton(relpath); }); - } - - $(window).load(function(){ - navTo(o,toroot,hashUrl(),relpath); - showRoot(); - }); - - $(window).bind('hashchange', function(){ - if (window.location.hash && window.location.hash.length>1){ - var a; - if ($(location).attr('hash')){ - var clslink=stripPath(pathName())+':'+hashValue(); - a=$('.item a[class$="'+clslink.replace(/ - - - - - - -CLASS MANUAL: nonlinear.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    nonlinear.c File Reference
    -
    -
    -
    #include "nonlinear.h"
    -
    - + Include dependency graph for nonlinear.c:
    -
    -
    - -
    - - - - - - - - - - - - - -

    -Functions

    int nonlinear_k_nl_at_z (struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
     
    int nonlinear_init (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
     
    int nonlinear_free (struct nonlinear *pnl)
     
    int nonlinear_pk_l (struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
     
    int nonlinear_halofit (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
     
    int nonlinear_halofit_integrate (struct nonlinear *pnl, double *integrand_array, int integrand_size, int ia_size, int index_ia_k, int index_ia_pk, int index_ia_sum, int index_ia_ddsum, double R, enum halofit_integral_type type, double *sum)
     
    -

    Detailed Description

    -

    Documented nonlinear module

    -

    Julien Lesgourgues, 6.03.2014

    -

    New module replacing an older one present up to version 2.0 The new module is located in a better place in the main, allowing it to compute non-linear correction to $ C_l$'s and not just $ P(k)$. It will also be easier to generalize to new methods. The old implementation of one-loop calculations and TRG calculations has been dropped from this version, they can still be found in older versions.

    -

    Function Documentation

    - -

    ◆ nonlinear_k_nl_at_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int nonlinear_k_nl_at_z (struct background * pba,
    struct nonlinear * pnl,
    double z,
    double * k_nl,
    double * k_nl_cb 
    )
    -
    -

    Return the value of the non-linearity wavenumber k_nl for a given redshift z

    Parameters
    - - - - - - -
    pbaInput: pointer to background structure
    pnlInput: pointer to nonlinear structure
    zInput: redshift
    k_nlOutput: k_nl value
    k_nl_cbOuput: k_nl value of the cdm+baryon part only, if there is ncdm
    -
    -
    -
    Returns
    the error status
    -
      -
    • convert input redshift into a conformal time
      • -
    • interpolate the precomputed k_nl array at the needed valuetime
      • -
    • if needed, do the same for the baryon part only
      • -
    - -
    -
    - -

    ◆ nonlinear_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int nonlinear_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct nonlinear * pnl 
    )
    -
    -

    Initialize the nonlinear structure, and in particular the nl_corr_density and k_nl interpolation tables.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to therodynamics structure
    pptInput: pointer to perturbation structure
    ppmInput: pointer to primordial structure
    pnlInput/Output: pointer to initialized nonlinear structure
    -
    -
    -
    Returns
    the error status
    -

    Define flags and indices (so few that no dedicated routine needed)

    -

    (a) First deal with the case where non non-linear corrections requested

    -

    (b) Compute for HALOFIT non-linear spectrum

    -
      -
    • copy list of (k,tau) from perturbation module
      • -
    • loop over time
      • -
    - -
    -
    - -

    ◆ nonlinear_free()

    - -
    -
    - - - - - - - - -
    int nonlinear_free (struct nonlinear * pnl)
    -
    -

    Free all memory space allocated by nonlinear_init().

    -
    Parameters
    - - -
    pnlInput: pointer to nonlineard structure (to be freed)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ nonlinear_pk_l()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int nonlinear_pk_l (struct background * pba,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct nonlinear * pnl,
    int index_pk,
    int index_tau,
    double * pk_l,
    double * lnk,
    double * lnpk,
    double * ddlnpk 
    )
    -
    -

    Calculation of the linear matter power spectrum, used to get the nonlinear one. This is partially redundent with a more elaborate version of this calculation performed later in the spectra module. At some point the organisation will change to avoid this redundency.

    -
    Parameters
    - - - - - - - - - - - -
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ppmInput: pointer to primordial structure
    pnlInput: pointer to nonlinear structure
    index_pkInput: index of component are we looking at (total matter or cdm+baryons?)
    index_tauInput: index of conformal time at which we want to do the calculation
    pk_lOutput: linear spectrum at the relevant time
    lnkOutput: array log(wavenumber)
    lnpkOutput: array of log(P(k)_linear)
    ddlnpkOutput: array of second derivative of log(P(k)_linear) wrt k, for spline interpolation
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ nonlinear_halofit()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int nonlinear_halofit (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct nonlinear * pnl,
    int index_pk,
    double tau,
    double * pk_l,
    double * pk_nl,
    double * lnk_l,
    double * lnpk_l,
    double * ddlnpk_l,
    double * k_nl,
    short * halofit_found_k_max 
    )
    -
    -

    Calculation of the nonlinear matter power spectrum with Halofit (includes Takahashi 2012 + Bird 2013 revisions).

    -

    At high redshift it is possible that the non-linear corrections are so small that they can be computed only by going to very large wavenumbers. Thius, for some combination of (z, k_max), the calculation is not possible. In this case a FALSE will be returned in the flag halofit_found_k_max.

    -
    Parameters
    - - - - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ppmInput: pointer to primordial structure
    pnlInput/Output: pointer to nonlinear structure
    index_pkInput: index of component are we looking at (total matter or cdm+baryons?)
    tauInput: conformal time at which we want to do the calculation
    pk_lInput: linear spectrum at the relevant time
    pk_nlOutput: non linear spectrum at the relevant time
    lnk_lInput: array log(wavenumber)
    lnpk_lInput: array of log(P(k)_linear)
    ddlnpk_lInput: array of second derivative of log(P(k)_linear) wrt k, for spline interpolation
    k_nlOutput: non-linear wavenumber
    halofit_found_k_maxOuput: flag cocnerning the status of the calculation (FALSE if not possible)
    -
    -
    -
    Returns
    the error status
    -

    Determine non linear ratios (from pk)

    - -
    -
    - -

    ◆ nonlinear_halofit_integrate()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int nonlinear_halofit_integrate (struct nonlinear * pnl,
    double * integrand_array,
    int integrand_size,
    int ia_size,
    int index_ia_k,
    int index_ia_pk,
    int index_ia_sum,
    int index_ia_ddsum,
    double R,
    enum halofit_integral_type type,
    double * sum 
    )
    -
    -

    Internal routione of Halofit. In original Halofit, this is equivalent to the function wint()

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear_8c.js b/doc/manual/html/nonlinear_8c.js deleted file mode 100644 index e4bfb8b6..00000000 --- a/doc/manual/html/nonlinear_8c.js +++ /dev/null @@ -1,9 +0,0 @@ -var nonlinear_8c = -[ - [ "nonlinear_k_nl_at_z", "nonlinear_8c.html#a13b3f35646d9b27de4910d72d1d7079a", null ], - [ "nonlinear_init", "nonlinear_8c.html#a86727ddb48af0066973966308bb889cd", null ], - [ "nonlinear_free", "nonlinear_8c.html#a9ff63e7434268cc98d583f2cd332c948", null ], - [ "nonlinear_pk_l", "nonlinear_8c.html#aea63e432387d9be3acdf5e702c8c23b8", null ], - [ "nonlinear_halofit", "nonlinear_8c.html#a27ed37e9eeccad4ef1ba2c1bc8a42a64", null ], - [ "nonlinear_halofit_integrate", "nonlinear_8c.html#a3e5fe7614b870191df0e37a626671fdc", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c__incl.map b/doc/manual/html/nonlinear_8c__incl.map deleted file mode 100644 index 0a6ad62a..00000000 --- a/doc/manual/html/nonlinear_8c__incl.map +++ /dev/null @@ -1,16 +0,0 @@ - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/nonlinear_8c__incl.md5 b/doc/manual/html/nonlinear_8c__incl.md5 deleted file mode 100644 index 7de1662c..00000000 --- a/doc/manual/html/nonlinear_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -57aceedec3433514450034ff2becf648 \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c__incl.png b/doc/manual/html/nonlinear_8c__incl.png deleted file mode 100644 index 045baab7..00000000 Binary files a/doc/manual/html/nonlinear_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.map b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.map deleted file mode 100644 index 6d85e262..00000000 --- a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.md5 b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.md5 deleted file mode 100644 index dc8f294a..00000000 --- a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cc547c17f1bbf6862d06fe2b7f38eb60 \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.png b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.png deleted file mode 100644 index 555be48e..00000000 Binary files a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_cgraph.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.map b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.map deleted file mode 100644 index 014dee8a..00000000 --- a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.md5 b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.md5 deleted file mode 100644 index a55dd775..00000000 --- a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1d188ddd8b9e40285f13a121e490273e \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.png b/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.png deleted file mode 100644 index f84b1b6b..00000000 Binary files a/doc/manual/html/nonlinear_8c_a219d1d3acda1332d72fd9ca4a430e994_icgraph.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.map b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.map deleted file mode 100644 index 3c66ebe5..00000000 --- a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.md5 b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.md5 deleted file mode 100644 index 211fa604..00000000 --- a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bb7c25ef25fc18fe6265d0e2f11d1bb9 \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.png b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.png deleted file mode 100644 index 5d172ecc..00000000 Binary files a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_cgraph.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.map b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.map deleted file mode 100644 index 71981556..00000000 --- a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.md5 b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.md5 deleted file mode 100644 index e7fa19af..00000000 --- a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7f9eb7cb6740f3d9cffd516e3a6e8d16 \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.png b/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.png deleted file mode 100644 index 93c2648b..00000000 Binary files a/doc/manual/html/nonlinear_8c_a86727ddb48af0066973966308bb889cd_icgraph.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8h.html b/doc/manual/html/nonlinear_8h.html deleted file mode 100644 index ea0819a0..00000000 --- a/doc/manual/html/nonlinear_8h.html +++ /dev/null @@ -1,177 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures | -Macros
    -
    -
    nonlinear.h File Reference
    -
    -
    -
    #include "primordial.h"
    -
    - + Include dependency graph for nonlinear.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - -

    -Data Structures

    struct  nonlinear
     
    - - - -

    -Macros

    #define _M_EV_TOO_BIG_FOR_HALOFIT_   10.
     
    -

    Detailed Description

    -

    Documented includes for trg module

    -

    Macro Definition Documentation

    - -

    ◆ _M_EV_TOO_BIG_FOR_HALOFIT_

    - -
    -
    - - - - -
    #define _M_EV_TOO_BIG_FOR_HALOFIT_   10.
    -
    -

    above which value of non-CDM mass (in eV) do we stop trusting halofit?

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear_8h.js b/doc/manual/html/nonlinear_8h.js deleted file mode 100644 index 6157d9bc..00000000 --- a/doc/manual/html/nonlinear_8h.js +++ /dev/null @@ -1,5 +0,0 @@ -var nonlinear_8h = -[ - [ "nonlinear", "structnonlinear.html", "structnonlinear" ], - [ "_M_EV_TOO_BIG_FOR_HALOFIT_", "nonlinear_8h.html#a2bae60634b6fc5f82424ffb1f46ac172", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8h__dep__incl.map b/doc/manual/html/nonlinear_8h__dep__incl.map deleted file mode 100644 index 31f599d9..00000000 --- a/doc/manual/html/nonlinear_8h__dep__incl.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/doc/manual/html/nonlinear_8h__dep__incl.md5 b/doc/manual/html/nonlinear_8h__dep__incl.md5 deleted file mode 100644 index 422a02b5..00000000 --- a/doc/manual/html/nonlinear_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -b21c80f0dd27caa4570dade63e2aa1ef \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8h__dep__incl.png b/doc/manual/html/nonlinear_8h__dep__incl.png deleted file mode 100644 index f2efbe6a..00000000 Binary files a/doc/manual/html/nonlinear_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8h__incl.map b/doc/manual/html/nonlinear_8h__incl.map deleted file mode 100644 index a55034cd..00000000 --- a/doc/manual/html/nonlinear_8h__incl.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/doc/manual/html/nonlinear_8h__incl.md5 b/doc/manual/html/nonlinear_8h__incl.md5 deleted file mode 100644 index 5ecb9de7..00000000 --- a/doc/manual/html/nonlinear_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -40b5394e31ef97bc27751ab5ae91acdc \ No newline at end of file diff --git a/doc/manual/html/nonlinear_8h__incl.png b/doc/manual/html/nonlinear_8h__incl.png deleted file mode 100644 index f01eccf2..00000000 Binary files a/doc/manual/html/nonlinear_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/nonlinear_8h_source.html b/doc/manual/html/nonlinear_8h_source.html deleted file mode 100644 index 7450cca6..00000000 --- a/doc/manual/html/nonlinear_8h_source.html +++ /dev/null @@ -1,134 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #include "primordial.h"
    4 
    5 #ifndef __NONLINEAR__
    6 #define __NONLINEAR__
    7 
    8 #define _M_EV_TOO_BIG_FOR_HALOFIT_ 10.
    10 enum non_linear_method {nl_none,nl_halofit};
    11 enum halofit_integral_type {halofit_integral_one, halofit_integral_two, halofit_integral_three};
    12 
    21 struct nonlinear {
    22 
    29 
    30  enum non_linear_method method;
    33 
    37 
    38  short has_pk_m;
    39  short has_pk_cb;
    41  int index_pk_m;
    42  int index_pk_cb;
    43  int pk_size;
    45  int k_size;
    46  double * k;
    48  int tau_size;
    49  double * tau;
    51  double ** nl_corr_density;
    52  double ** k_nl;
    54  int index_tau_min_nl;
    58 
    61  short has_pk_eq;
    63  int index_pk_eq_w;
    64  int index_pk_eq_Omega_m;
    65  int pk_eq_size;
    67  int pk_eq_tau_size;
    69  double * pk_eq_tau;
    70  double * pk_eq_w_and_Omega;
    71  double * pk_eq_ddw_and_ddOmega;
    74 
    76 
    80 
    81  short nonlinear_verbose;
    83  ErrorMsg error_message;
    86 };
    87 
    88 /********************************************************************************/
    89 
    90 /* @cond INCLUDE_WITH_DOXYGEN */
    91 /*
    92  * Boilerplate for C++
    93  */
    94 #ifdef __cplusplus
    95 extern "C" {
    96 #endif
    97 
    98  int nonlinear_k_nl_at_z(
    99  struct background *pba,
    100  struct nonlinear * pnl,
    101  double z,
    102  double * k_nl,
    103  double * k_nl_cb
    104  );
    105 
    106  int nonlinear_init(
    107  struct precision *ppr,
    108  struct background *pba,
    109  struct thermo *pth,
    110  struct perturbs *ppt,
    111  struct primordial *ppm,
    112  struct nonlinear *pnl
    113  );
    114 
    115  int nonlinear_free(
    116  struct nonlinear *pnl
    117  );
    118 
    119  int nonlinear_pk_l(struct background *pba,
    120  struct perturbs *ppt,
    121  struct primordial *ppm,
    122  struct nonlinear *pnl,
    123  int index_pk,
    124  int index_tau,
    125  double *pk_l,
    126  double *lnk,
    127  double *lnpk,
    128  double *ddlnpk);
    129 
    130  int nonlinear_halofit(
    131  struct precision *ppr,
    132  struct background *pba,
    133  struct perturbs *ppt,
    134  struct primordial *ppm,
    135  struct nonlinear *pnl,
    136  int index_pk,
    137  double tau,
    138  double *pk_l,
    139  double *pk_nl,
    140  double *lnk_l,
    141  double *lnpk_l,
    142  double *ddlnpk_l,
    143  double *k_nl,
    144  short * halofit_found_k_max
    145  );
    146 
    147  int nonlinear_halofit_integrate(
    148  struct nonlinear *pnl,
    149  double * integrand_array,
    150  int integrand_size,
    151  int ia_size,
    152  int index_ia_k,
    153  int index_ia_pk,
    154  int index_ia_sum,
    155  int index_ia_ddsum,
    156  double R,
    157  enum halofit_integral_type type,
    158  double * sum
    159  );
    160 
    161 
    162 #ifdef __cplusplus
    163 }
    164 #endif
    165 
    166 #endif
    167 /* @endcond */
    nonlinear_init
    int nonlinear_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
    Definition: nonlinear.c:112
    -
    background
    Definition: background.h:31
    -
    nonlinear_pk_l
    int nonlinear_pk_l(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
    Definition: nonlinear.c:376
    -
    nonlinear_k_nl_at_z
    int nonlinear_k_nl_at_z(struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
    Definition: nonlinear.c:26
    -
    nonlinear::index_pk_eq_w
    int index_pk_eq_w
    Definition: nonlinear.h:63
    -
    nonlinear::pk_eq_tau_size
    int pk_eq_tau_size
    Definition: nonlinear.h:67
    -
    nonlinear::index_pk_cb
    int index_pk_cb
    Definition: nonlinear.h:42
    - -
    perturbs
    Definition: perturbations.h:95
    -
    nonlinear::nonlinear_verbose
    short nonlinear_verbose
    Definition: nonlinear.h:81
    -
    nonlinear::method
    enum non_linear_method method
    Definition: nonlinear.h:30
    -
    thermo
    Definition: thermodynamics.h:58
    -
    nonlinear_free
    int nonlinear_free(struct nonlinear *pnl)
    Definition: nonlinear.c:327
    -
    nonlinear::pk_eq_ddw_and_ddOmega
    double * pk_eq_ddw_and_ddOmega
    Definition: nonlinear.h:71
    -
    nonlinear::nl_corr_density
    double ** nl_corr_density
    Definition: nonlinear.h:51
    -
    nonlinear::k_size
    int k_size
    Definition: nonlinear.h:45
    -
    nonlinear::error_message
    ErrorMsg error_message
    Definition: nonlinear.h:83
    -
    nonlinear::tau
    double * tau
    Definition: nonlinear.h:49
    -
    nonlinear::k
    double * k
    Definition: nonlinear.h:46
    -
    nonlinear::tau_size
    int tau_size
    Definition: nonlinear.h:48
    -
    nonlinear::index_tau_min_nl
    int index_tau_min_nl
    Definition: nonlinear.h:54
    -
    nonlinear_halofit_integrate
    int nonlinear_halofit_integrate(struct nonlinear *pnl, double *integrand_array, int integrand_size, int ia_size, int index_ia_k, int index_ia_pk, int index_ia_sum, int index_ia_ddsum, double R, enum halofit_integral_type type, double *sum)
    Definition: nonlinear.c:955
    -
    nonlinear::pk_eq_size
    int pk_eq_size
    Definition: nonlinear.h:65
    -
    nonlinear_halofit
    int nonlinear_halofit(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
    Definition: nonlinear.c:508
    -
    nonlinear::pk_size
    int pk_size
    Definition: nonlinear.h:43
    -
    nonlinear::has_pk_m
    short has_pk_m
    Definition: nonlinear.h:38
    -
    nonlinear::pk_eq_w_and_Omega
    double * pk_eq_w_and_Omega
    Definition: nonlinear.h:70
    -
    nonlinear::index_pk_m
    int index_pk_m
    Definition: nonlinear.h:41
    -
    nonlinear::k_nl
    double ** k_nl
    Definition: nonlinear.h:52
    -
    nonlinear::has_pk_eq
    short has_pk_eq
    Definition: nonlinear.h:61
    -
    precision
    Definition: common.h:345
    -
    primordial
    Definition: primordial.h:79
    -
    nonlinear::has_pk_cb
    short has_pk_cb
    Definition: nonlinear.h:39
    -
    nonlinear::index_pk_eq_Omega_m
    int index_pk_eq_Omega_m
    Definition: nonlinear.h:64
    -
    nonlinear::pk_eq_tau
    double * pk_eq_tau
    Definition: nonlinear.h:69
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear_8h_structnonlinear.js b/doc/manual/html/nonlinear_8h_structnonlinear.js deleted file mode 100644 index f485a6da..00000000 --- a/doc/manual/html/nonlinear_8h_structnonlinear.js +++ /dev/null @@ -1,22 +0,0 @@ -var nonlinear_8h_structnonlinear = -[ - [ "method", "nonlinear_8h.html#aa5256a476f6fa766b8977272715be21a", null ], - [ "pk_size", "nonlinear_8h.html#ad1989b77431ef92f23f2f291109191a6", null ], - [ "k_size", "nonlinear_8h.html#a5337c7a8ffea7bb7f178d6bad11b5622", null ], - [ "k", "nonlinear_8h.html#a74513b6640279e01850e7e8eb8976fb1", null ], - [ "tau_size", "nonlinear_8h.html#a65b7e2e5ec57b04277e3797c6953e6ba", null ], - [ "tau", "nonlinear_8h.html#a8457e334373ab9a00d3b5ca0958d79fe", null ], - [ "nl_corr_density", "nonlinear_8h.html#a768d57dd294e69b19afda73a381b8286", null ], - [ "k_nl", "nonlinear_8h.html#a3328b240b922cf2517f268de5a1b72b8", null ], - [ "index_tau_min_nl", "nonlinear_8h.html#a7820721d8a03b7a23525c9f2ffc64ea0", null ], - [ "has_pk_eq", "nonlinear_8h.html#ae559a841b4adf1affba72a9ee7aa6bb1", null ], - [ "index_pk_eq_w", "nonlinear_8h.html#a5c720896659696f417d34605693c1e58", null ], - [ "index_pk_eq_Omega_m", "nonlinear_8h.html#ac66d364d9298f36b1484a0a15ea4873d", null ], - [ "pk_eq_size", "nonlinear_8h.html#ac75dd441d317ae820442c292ee07cf5c", null ], - [ "pk_eq_tau_size", "nonlinear_8h.html#ac4dca0626fe3ba4625d38e6471d394ad", null ], - [ "pk_eq_tau", "nonlinear_8h.html#a800f77dc54958d78cd2217e580dbaa12", null ], - [ "pk_eq_w_and_Omega", "nonlinear_8h.html#a3789820291a5e3bed24b5ab532f6c2c1", null ], - [ "pk_eq_ddw_and_ddOmega", "nonlinear_8h.html#a9829e53eed43354d6eadd1b4a1a50ca8", null ], - [ "nonlinear_verbose", "nonlinear_8h.html#a793810d8ed0e8a951293d0d4b1475c46", null ], - [ "error_message", "nonlinear_8h.html#aea8dcc26882acb6c85a66e1aabcbc6c9", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/nonlinear__conflict-20170920-132422_8h_source.html b/doc/manual/html/nonlinear__conflict-20170920-132422_8h_source.html deleted file mode 100644 index 34392052..00000000 --- a/doc/manual/html/nonlinear__conflict-20170920-132422_8h_source.html +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear_conflict-20170920-132422.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear_conflict-20170920-132422.h
    -
    -
    -
    1 
    3 #include "primordial.h"
    4 
    5 #ifndef __NONLINEAR__
    6 #define __NONLINEAR__
    7 
    8 #define _M_EV_TOO_BIG_FOR_HALOFIT_ 10.
    10 enum non_linear_method {nl_none,nl_halofit};
    11 
    12 enum halofit_integral_type {halofit_integral_one, halofit_integral_two, halofit_integral_three};
    13 
    14 enum halofit_statement {ok, too_small}
    15 
    24 struct nonlinear {
    25 
    32 
    33  enum non_linear_method method;
    36 
    40 
    41  int k_size;
    42  double * k;
    43  int tau_size;
    44  double * tau;
    46  double * nl_corr_density;
    47  double * k_nl;
    50 
    54 
    55  short nonlinear_verbose;
    57  ErrorMsg error_message;
    60 };
    61 
    62 /********************************************************************************/
    63 
    64 /* @cond INCLUDE_WITH_DOXYGEN */
    65 /*
    66  * Boilerplate for C++
    67  */
    68 #ifdef __cplusplus
    69 extern "C" {
    70 #endif
    71 
    72  int nonlinear_k_nl_at_z(
    73  struct background *pba,
    74  struct nonlinear * pnl,
    75  double z,
    76  double * k_nl
    77  );
    78 
    79  int nonlinear_init(
    80  struct precision *ppr,
    81  struct background *pba,
    82  struct thermo *pth,
    83  struct perturbs *ppt,
    84  struct primordial *ppm,
    85  struct nonlinear *pnl
    86  );
    87 
    88  int nonlinear_free(
    89  struct nonlinear *pnl
    90  );
    91 
    92  int nonlinear_pk_l(struct perturbs *ppt,
    93  struct primordial *ppm,
    94  struct nonlinear *pnl,
    95  int index_tau,
    96  double *pk_l,
    97  double *lnk,
    98  double *lnpk,
    99  double *ddlnpk);
    100 
    101  int nonlinear_halofit(
    102  struct precision *ppr,
    103  struct background *pba,
    104  struct primordial *ppm,
    105  struct nonlinear *pnl,
    106  double tau,
    107  double *pk_l,
    108  double *lnk,
    109  double *lnpk,
    110  double *ddlnpk,
    111  enum halofit_statement * halofit_found_k_max
    112  double *pk_nl,
    113  double *k_nl
    114  );
    115 
    116  int nonlinear_halofit_integrate(
    117  struct nonlinear *pnl,
    118  double * integrand_array,
    119  int integrand_size,
    120  int ia_size,
    121  int index_ia_k,
    122  int index_ia_pk,
    123  int index_ia_sum,
    124  int index_ia_ddsum,
    125  double R,
    126  enum halofit_integral_type type,
    127  double * sum
    128  );
    129 
    130 #ifdef __cplusplus
    131 }
    132 #endif
    133 
    134 /**************************************************************/
    135 
    136 #endif
    137 /* @endcond */
    nonlinear_init
    int nonlinear_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
    Definition: nonlinear.c:112
    -
    background
    Definition: background.h:31
    -
    nonlinear_pk_l
    int nonlinear_pk_l(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
    Definition: nonlinear.c:376
    -
    nonlinear_k_nl_at_z
    int nonlinear_k_nl_at_z(struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
    Definition: nonlinear.c:26
    - -
    perturbs
    Definition: perturbations.h:95
    -
    nonlinear::nonlinear_verbose
    short nonlinear_verbose
    Definition: nonlinear.h:81
    -
    nonlinear::method
    enum non_linear_method method
    Definition: nonlinear.h:30
    -
    thermo
    Definition: thermodynamics.h:58
    -
    nonlinear_free
    int nonlinear_free(struct nonlinear *pnl)
    Definition: nonlinear.c:327
    -
    nonlinear::nl_corr_density
    double ** nl_corr_density
    Definition: nonlinear.h:51
    -
    nonlinear::k_size
    int k_size
    Definition: nonlinear.h:45
    -
    nonlinear::error_message
    ErrorMsg error_message
    Definition: nonlinear.h:83
    -
    nonlinear::tau
    double * tau
    Definition: nonlinear.h:49
    -
    nonlinear::k
    double * k
    Definition: nonlinear.h:46
    -
    nonlinear::tau_size
    int tau_size
    Definition: nonlinear.h:48
    -
    nonlinear_halofit_integrate
    int nonlinear_halofit_integrate(struct nonlinear *pnl, double *integrand_array, int integrand_size, int ia_size, int index_ia_k, int index_ia_pk, int index_ia_sum, int index_ia_ddsum, double R, enum halofit_integral_type type, double *sum)
    Definition: nonlinear.c:955
    -
    nonlinear_halofit
    int nonlinear_halofit(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
    Definition: nonlinear.c:508
    -
    nonlinear::k_nl
    double ** k_nl
    Definition: nonlinear.h:52
    -
    precision
    Definition: common.h:345
    -
    primordial
    Definition: primordial.h:79
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear__conflict-20170920-150212_8h_source.html b/doc/manual/html/nonlinear__conflict-20170920-150212_8h_source.html deleted file mode 100644 index bc5c1932..00000000 --- a/doc/manual/html/nonlinear__conflict-20170920-150212_8h_source.html +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear_conflict-20170920-150212.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear_conflict-20170920-150212.h
    -
    -
    -
    1 
    3 #include "primordial.h"
    4 
    5 #ifndef __NONLINEAR__
    6 #define __NONLINEAR__
    7 
    8 #define _M_EV_TOO_BIG_FOR_HALOFIT_ 10.
    10 enum non_linear_method {nl_none,nl_halofit};
    11 enum halofit_integral_type {halofit_integral_one, halofit_integral_two, halofit_integral_three};
    12 enum halofit_statement {ok, too_small};
    13 
    22 struct nonlinear {
    23 
    30 
    31  enum non_linear_method method;
    34 
    38 
    39  int k_size;
    40  double * k;
    41  int tau_size;
    42  double * tau;
    44  double * nl_corr_density;
    45  double * k_nl;
    48 
    52 
    53  short nonlinear_verbose;
    55  ErrorMsg error_message;
    58 };
    59 
    60 /********************************************************************************/
    61 
    62 /* @cond INCLUDE_WITH_DOXYGEN */
    63 /*
    64  * Boilerplate for C++
    65  */
    66 #ifdef __cplusplus
    67 extern "C" {
    68 #endif
    69 
    70  int nonlinear_k_nl_at_z(
    71  struct background *pba,
    72  struct nonlinear * pnl,
    73  double z,
    74  double * k_nl
    75  );
    76 
    77  int nonlinear_init(
    78  struct precision *ppr,
    79  struct background *pba,
    80  struct thermo *pth,
    81  struct perturbs *ppt,
    82  struct primordial *ppm,
    83  struct nonlinear *pnl
    84  );
    85 
    86  int nonlinear_free(
    87  struct nonlinear *pnl
    88  );
    89 
    90  int nonlinear_pk_l(struct perturbs *ppt,
    91  struct primordial *ppm,
    92  struct nonlinear *pnl,
    93  int index_tau,
    94  double *pk_l,
    95  double *lnk,
    96  double *lnpk,
    97  double *ddlnpk);
    98 
    99  int nonlinear_halofit(
    100  struct precision *ppr,
    101  struct background *pba,
    102  struct primordial *ppm,
    103  struct nonlinear *pnl,
    104  double tau,
    105  double *pk_l,
    106  double *lnk,
    107  double *lnpk,
    108  double *ddlnpk,
    109  double *pk_nl,
    110  double *k_nl
    111  );
    112 
    113 #ifdef __cplusplus
    114 }
    115 #endif
    116 
    117 /**************************************************************/
    118 
    119 #endif
    120 /* @endcond */
    nonlinear_init
    int nonlinear_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
    Definition: nonlinear.c:112
    -
    background
    Definition: background.h:31
    -
    nonlinear_pk_l
    int nonlinear_pk_l(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
    Definition: nonlinear.c:376
    -
    nonlinear_k_nl_at_z
    int nonlinear_k_nl_at_z(struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
    Definition: nonlinear.c:26
    - -
    perturbs
    Definition: perturbations.h:95
    -
    nonlinear::nonlinear_verbose
    short nonlinear_verbose
    Definition: nonlinear.h:81
    -
    nonlinear::method
    enum non_linear_method method
    Definition: nonlinear.h:30
    -
    thermo
    Definition: thermodynamics.h:58
    -
    nonlinear_free
    int nonlinear_free(struct nonlinear *pnl)
    Definition: nonlinear.c:327
    -
    nonlinear::k_size
    int k_size
    Definition: nonlinear.h:45
    -
    nonlinear::error_message
    ErrorMsg error_message
    Definition: nonlinear.h:83
    -
    nonlinear::tau
    double * tau
    Definition: nonlinear.h:49
    -
    nonlinear::k
    double * k
    Definition: nonlinear.h:46
    -
    nonlinear::tau_size
    int tau_size
    Definition: nonlinear.h:48
    -
    nonlinear_halofit
    int nonlinear_halofit(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
    Definition: nonlinear.c:508
    -
    nonlinear::k_nl
    double * k_nl
    Definition: nonlinear_conflict-20170920-150212.h:45
    -
    nonlinear::k_nl
    double ** k_nl
    Definition: nonlinear.h:52
    -
    precision
    Definition: common.h:345
    -
    nonlinear::nl_corr_density
    double * nl_corr_density
    Definition: nonlinear_conflict-20170920-150212.h:44
    -
    primordial
    Definition: primordial.h:79
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear__exp_8h_source.html b/doc/manual/html/nonlinear__exp_8h_source.html deleted file mode 100644 index 36d20ed8..00000000 --- a/doc/manual/html/nonlinear__exp_8h_source.html +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear_exp.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear_exp.h
    -
    -
    -
    1 
    3 #include "primordial.h"
    4 
    5 #ifndef __NONLINEAR__
    6 #define __NONLINEAR__
    7 
    8 #define _M_EV_TOO_BIG_FOR_HALOFIT_ 10.
    10 enum non_linear_method {nl_none,nl_halofit};
    11 
    20 struct nonlinear {
    21 
    28 
    29  enum non_linear_method method;
    30 
    32 
    36 
    37  int k_size;
    38  double * k;
    39  int tau_size;
    40  double * tau;
    42  double * nl_corr_density;
    43  double * k_nl;
    44 
    46 
    50 
    51  short nonlinear_verbose;
    53  ErrorMsg error_message;
    56 };
    57 
    58 /********************************************************************************/
    59 
    60 /*
    61  * Boilerplate for C++
    62  */
    63 #ifdef __cplusplus
    64 extern "C" {
    65 #endif
    66 
    67  int nonlinear_k_nl_at_z(
    68  struct background *pba,
    69  struct nonlinear * pnl,
    70  double z,
    71  double * k_nl
    72  );
    73 
    74  int nonlinear_init(
    75  struct precision *ppr,
    76  struct background *pba,
    77  struct thermo *pth,
    78  struct perturbs *ppt,
    79  struct primordial *ppm,
    80  struct nonlinear *pnl
    81  );
    82 
    83  int nonlinear_free(
    84  struct nonlinear *pnl
    85  );
    86 
    87  int nonlinear_pk_l(struct perturbs *ppt,
    88  struct primordial *ppm,
    89  struct nonlinear *pnl,
    90  int index_tau,
    91  double *pk_l);
    92 
    93  int nonlinear_lnpk_l(struct perturbs *ppt,
    94  struct primordial *ppm,
    95  struct nonlinear *pnl,
    96  int index_tau,
    97  double *lnk,
    98  double *lnpk,
    99  double *ddlnpk);
    100 
    101  int nonlinear_halofit(
    102  struct precision *ppr,
    103  struct background *pba,
    104  struct primordial *ppm,
    105  struct nonlinear *pnl,
    106  double tau,
    107  double *pk_l,
    108  double *lnk,
    109  double *lnpk,
    110  double *ddlnpk,
    111  double *pk_nl,
    112  double *k_nl
    113  );
    114 
    115 #ifdef __cplusplus
    116 }
    117 #endif
    118 
    119 /**************************************************************/
    120 
    121 #endif
    nonlinear_init
    int nonlinear_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
    Definition: nonlinear.c:112
    -
    background
    Definition: background.h:31
    -
    nonlinear_pk_l
    int nonlinear_pk_l(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
    Definition: nonlinear.c:376
    -
    nonlinear_k_nl_at_z
    int nonlinear_k_nl_at_z(struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
    Definition: nonlinear.c:26
    - -
    perturbs
    Definition: perturbations.h:95
    -
    nonlinear::nonlinear_verbose
    short nonlinear_verbose
    Definition: nonlinear.h:81
    -
    nonlinear::method
    enum non_linear_method method
    Definition: nonlinear.h:30
    -
    thermo
    Definition: thermodynamics.h:58
    -
    nonlinear_free
    int nonlinear_free(struct nonlinear *pnl)
    Definition: nonlinear.c:327
    -
    nonlinear::nl_corr_density
    double ** nl_corr_density
    Definition: nonlinear.h:51
    -
    nonlinear::k_size
    int k_size
    Definition: nonlinear.h:45
    -
    nonlinear::error_message
    ErrorMsg error_message
    Definition: nonlinear.h:83
    -
    nonlinear::tau
    double * tau
    Definition: nonlinear.h:49
    -
    nonlinear::k
    double * k
    Definition: nonlinear.h:46
    -
    nonlinear::tau_size
    int tau_size
    Definition: nonlinear.h:48
    -
    nonlinear_halofit
    int nonlinear_halofit(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
    Definition: nonlinear.c:508
    -
    nonlinear::k_nl
    double ** k_nl
    Definition: nonlinear.h:52
    -
    precision
    Definition: common.h:345
    -
    primordial
    Definition: primordial.h:79
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/nonlinear__test_8h_source.html b/doc/manual/html/nonlinear__test_8h_source.html deleted file mode 100644 index 86712b9e..00000000 --- a/doc/manual/html/nonlinear__test_8h_source.html +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear_test.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear_test.h
    -
    -
    -
    1 
    3 #include "primordial.h"
    4 
    5 #ifndef __NONLINEAR__
    6 #define __NONLINEAR__
    7 
    8 #define _M_EV_TOO_BIG_FOR_HALOFIT_ 10.
    10 enum non_linear_method {nl_none,nl_halofit};
    11 
    20 struct nonlinear {
    21 
    28 
    29  enum non_linear_method method;
    30 
    32 
    36 
    37  int k_size;
    38  double * k;
    39  int tau_size;
    40  double * tau;
    42  double * nl_corr_density;
    43  double * k_nl;
    44 
    46 
    50 
    51  short nonlinear_verbose;
    53  ErrorMsg error_message;
    56 };
    57 
    58 /********************************************************************************/
    59 
    60 /*
    61  * Boilerplate for C++
    62  */
    63 #ifdef __cplusplus
    64 extern "C" {
    65 #endif
    66 
    67  int nonlinear_k_nl_at_z(
    68  struct background *pba,
    69  struct nonlinear * pnl,
    70  double z,
    71  double * k_nl
    72  );
    73 
    74  int nonlinear_init(
    75  struct precision *ppr,
    76  struct background *pba,
    77  struct thermo *pth,
    78  struct perturbs *ppt,
    79  struct primordial *ppm,
    80  struct nonlinear *pnl
    81  );
    82 
    83  int nonlinear_free(
    84  struct nonlinear *pnl
    85  );
    86 
    87  int nonlinear_pk_l(struct perturbs *ppt,
    88  struct primordial *ppm,
    89  struct nonlinear *pnl,
    90  int index_tau,
    91  double *pk_l);
    92 
    93  int nonlinear_halofit(
    94  struct precision *ppr,
    95  struct background *pba,
    96  struct primordial *ppm,
    97  struct nonlinear *pnl,
    98  double tau,
    99  double *pk_l,
    100  double *pk_nl,
    101  double *k_nl
    102  );
    103 
    104 #ifdef __cplusplus
    105 }
    106 #endif
    107 
    108 /**************************************************************/
    109 
    110 #endif
    nonlinear_init
    int nonlinear_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl)
    Definition: nonlinear.c:112
    -
    background
    Definition: background.h:31
    -
    nonlinear_pk_l
    int nonlinear_pk_l(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, int index_tau, double *pk_l, double *lnk, double *lnpk, double *ddlnpk)
    Definition: nonlinear.c:376
    -
    nonlinear_k_nl_at_z
    int nonlinear_k_nl_at_z(struct background *pba, struct nonlinear *pnl, double z, double *k_nl, double *k_nl_cb)
    Definition: nonlinear.c:26
    - -
    perturbs
    Definition: perturbations.h:95
    -
    nonlinear::nonlinear_verbose
    short nonlinear_verbose
    Definition: nonlinear.h:81
    -
    nonlinear::method
    enum non_linear_method method
    Definition: nonlinear.h:30
    -
    thermo
    Definition: thermodynamics.h:58
    -
    nonlinear_free
    int nonlinear_free(struct nonlinear *pnl)
    Definition: nonlinear.c:327
    -
    nonlinear::nl_corr_density
    double ** nl_corr_density
    Definition: nonlinear.h:51
    -
    nonlinear::k_size
    int k_size
    Definition: nonlinear.h:45
    -
    nonlinear::error_message
    ErrorMsg error_message
    Definition: nonlinear.h:83
    -
    nonlinear::tau
    double * tau
    Definition: nonlinear.h:49
    -
    nonlinear::k
    double * k
    Definition: nonlinear.h:46
    -
    nonlinear::tau_size
    int tau_size
    Definition: nonlinear.h:48
    -
    nonlinear_halofit
    int nonlinear_halofit(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, int index_pk, double tau, double *pk_l, double *pk_nl, double *lnk_l, double *lnpk_l, double *ddlnpk_l, double *k_nl, short *halofit_found_k_max)
    Definition: nonlinear.c:508
    -
    nonlinear::k_nl
    double ** k_nl
    Definition: nonlinear.h:52
    -
    precision
    Definition: common.h:345
    -
    primordial
    Definition: primordial.h:79
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/open.png b/doc/manual/html/open.png deleted file mode 100644 index 7138bb94..00000000 Binary files a/doc/manual/html/open.png and /dev/null differ diff --git a/doc/manual/html/output_8c.html b/doc/manual/html/output_8c.html deleted file mode 100644 index f6ff9f42..00000000 --- a/doc/manual/html/output_8c.html +++ /dev/null @@ -1,803 +0,0 @@ - - - - - - - -CLASS MANUAL: output.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    output.c File Reference
    -
    -
    -
    #include "output.h"
    -
    - + Include dependency graph for output.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int output_init (struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct transfers *ptr, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop)
     
    int output_cl (struct background *pba, struct perturbs *ppt, struct spectra *psp, struct lensing *ple, struct output *pop)
     
    int output_pk (struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
     
    int output_pk_nl (struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
     
    int output_tk (struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
     
    int output_print_data (FILE *out, char titles[_MAXTITLESTRINGLENGTH_], double *dataptr, int size_dataptr)
     
    int output_open_cl_file (struct spectra *psp, struct output *pop, FILE **clfile, FileName filename, char *first_line, int lmax)
     
    int output_one_line_of_cl (struct background *pba, struct spectra *psp, struct output *pop, FILE *clfile, double l, double *cl, int ct_size)
     
    int output_open_pk_file (struct background *pba, struct spectra *psp, struct output *pop, FILE **pkfile, FileName filename, char *first_line, double z)
     
    int output_one_line_of_pk (FILE *pkfile, double one_k, double one_pk)
     
    -

    Detailed Description

    -

    Documented output module

    -

    Julien Lesgourgues, 26.08.2010

    -

    This module writes the output in files.

    -

    The following functions can be called from other modules or from the main:

    -
      -
    1. output_init() (must be called after spectra_init())
      2. -
    2. output_total_cl_at_l() (can be called even before output_init())
      3. -
    -

    No memory needs to be deallocated after that, hence there is no output_free() routine like in other modules.

    -

    Function Documentation

    - -

    ◆ output_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_init (struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct transfers * ptr,
    struct spectra * psp,
    struct nonlinear * pnl,
    struct lensing * ple,
    struct output * pop 
    )
    -
    -

    This routine writes the output in files.

    -
    Parameters
    - - - - - - - - - - -
    pbaInput: pointer to background structure (needed for calling spectra_pk_at_z())
    pthInput: pointer to thermodynamics structure
    pptInput: pointer perturbation structure
    ppmInput: pointer to primordial structure
    ptrInput: pointer to transfer structure
    pspInput: pointer to spectra structure
    pnlInput: pointer to nonlinear structure
    pleInput: pointer to lensing structure
    popInput: pointer to output structure
    -
    -
    -

    Summary:

    -
      -
    • check that we really want to output at least one file
      • -
    • deal with all anisotropy power spectra $ C_l$'s
      • -
    • deal with all Fourier matter power spectra P(k)'s
      • -
    • deal with density and matter power spectra
      • -
    • deal with background quantities
      • -
    • deal with thermodynamics quantities
      • -
    • deal with perturbation quantities
      • -
    • deal with primordial spectra
      • -
    - -
    -
    - -

    ◆ output_cl()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_cl (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp,
    struct lensing * ple,
    struct output * pop 
    )
    -
    -

    This routines writes the output in files for anisotropy power spectra $ C_l$'s.

    -
    Parameters
    - - - - - - -
    pbaInput: pointer to background structure (needed for $ T_{cmb}$)
    pptInput: pointer perturbation structure
    pspInput: pointer to spectra structure
    pleInput: pointer to lensing structure
    popInput: pointer to output structure
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first, allocate all arrays of files and $ C_l$'s
      • -
    • second, open only the relevant files, and write a heading in each of them
      • -
    • third, perform loop over l. For each multipole, get all $ C_l$'s by calling spectra_cl_at_l() and distribute the results to relevant files
      • -
    • finally, close files and free arrays of files and $ C_l$'s
      • -
    - -
    -
    - -

    ◆ output_pk()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_pk (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp,
    struct output * pop 
    )
    -
    -

    This routines writes the output in files for Fourier matter power spectra P(k)'s.

    -
    Parameters
    - - - - - -
    pbaInput: pointer to background structure (needed for calling spectra_pk_at_z())
    pptInput: pointer perturbation structure
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first, check that requested redshift z_pk is consistent
      • -
    • second, open only the relevant files and write a heading in each of them
      • -
    • third, compute P(k) for each k (if several ic's, compute it for each ic and compute also the total); if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau.
      • -
    • fourth, write in files
      • -
    • fifth, free memory and close files
      • -
    - -
    -
    - -

    ◆ output_pk_nl()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_pk_nl (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp,
    struct output * pop 
    )
    -
    -

    This routines writes the output in files for Fourier non-linear matter power spectra P(k)'s.

    -
    Parameters
    - - - - - -
    pbaInput: pointer to background structure (needed for calling spectra_pk_at_z())
    pptInput: pointer perturbation structure
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first, check that requested redshift z_pk is consistent
      • -
    • second, open only the relevant files, and write a heading in each of them
      • -
    • third, compute P(k) for each k (if several ic's, compute it for each ic and compute also the total); if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau.
      • -
    • fourth, write in files
      • -
    • fifth, free memory and close files
      • -
    - -
    -
    - -

    ◆ output_tk()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_tk (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp,
    struct output * pop 
    )
    -
    -

    This routines writes the output in files for matter transfer functions $ T_i(k)$'s.

    -
    Parameters
    - - - - - -
    pbaInput: pointer to background structure (needed for calling spectra_pk_at_z())
    pptInput: pointer perturbation structure
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first, check that requested redshift z_pk is consistent
      • -
    • second, open only the relevant files, and write a heading in each of them
      • -
    • free memory and close files
      • -
    - -
    -
    - -

    ◆ output_print_data()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_print_data (FILE * out,
    char titles[_MAXTITLESTRINGLENGTH_],
    double * dataptr,
    int size_dataptr 
    )
    -
    -

    Summary

    -
      -
    • First we print the titles
      • -
    • Then we print the data
      • -
    - -
    -
    - -

    ◆ output_open_cl_file()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_open_cl_file (struct spectra * psp,
    struct output * pop,
    FILE ** clfile,
    FileName filename,
    char * first_line,
    int lmax 
    )
    -
    -

    This routine opens one file where some $ C_l$'s will be written, and writes a heading with some general information concerning its content.

    -
    Parameters
    - - - - - - - -
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    clfileOutput: returned pointer to file pointer
    filenameInput: name of the file
    first_lineInput: text describing the content (mode, initial condition..)
    lmaxInput: last multipole in the file (the first one is assumed to be 2)
    -
    -
    -
    Returns
    the error status
    -

    Summary

    -
      -
    • First we deal with the entries that are dependent of format type
      • -
    • Next deal with entries that are independent of format type
      • -
    - -
    -
    - -

    ◆ output_one_line_of_cl()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_one_line_of_cl (struct background * pba,
    struct spectra * psp,
    struct output * pop,
    FILE * clfile,
    double l,
    double * cl,
    int ct_size 
    )
    -
    -

    This routine write one line with l and all $ C_l$'s for all types (TT, TE...)

    -
    Parameters
    - - - - - - - - -
    pbaInput: pointer to background structure (needed for $ T_{cmb}$)
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    clfileInput: file pointer
    lInput: multipole
    clInput: $ C_l$'s for all types
    ct_sizeInput: number of types
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ output_open_pk_file()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_open_pk_file (struct background * pba,
    struct spectra * psp,
    struct output * pop,
    FILE ** pkfile,
    FileName filename,
    char * first_line,
    double z 
    )
    -
    -

    This routine opens one file where some P(k)'s will be written, and writes a heading with some general information concerning its content.

    -
    Parameters
    - - - - - - - - -
    pbaInput: pointer to background structure (needed for h)
    pspInput: pointer to spectra structure
    popInput: pointer to output structure
    pkfileOutput: returned pointer to file pointer
    filenameInput: name of the file
    first_lineInput: text describing the content (initial conditions, ...)
    zInput: redshift of the output
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ output_one_line_of_pk()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int output_one_line_of_pk (FILE * pkfile,
    double one_k,
    double one_pk 
    )
    -
    -

    This routine writes one line with k and P(k)

    -
    Parameters
    - - - - -
    pkfileInput: file pointer
    one_kInput: wavenumber
    one_pkInput: matter power spectrum
    -
    -
    -
    Returns
    the error status
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/output_8c.js b/doc/manual/html/output_8c.js deleted file mode 100644 index bdc2d0ab..00000000 --- a/doc/manual/html/output_8c.js +++ /dev/null @@ -1,13 +0,0 @@ -var output_8c = -[ - [ "output_init", "output_8c.html#adb23841ba0e7e7e11781591d2fd8a535", null ], - [ "output_cl", "output_8c.html#a9bae3589fccc1c41512259ec74aa8b98", null ], - [ "output_pk", "output_8c.html#a433c6754b69011fc5f4c402fff442c03", null ], - [ "output_pk_nl", "output_8c.html#a2b51b250f47325e9a3fd6c7202525d0d", null ], - [ "output_tk", "output_8c.html#ac8276c52bb11691d12c9e21977be5d55", null ], - [ "output_print_data", "output_8c.html#a5da9a12c04ffdd30ff7881de756c22b1", null ], - [ "output_open_cl_file", "output_8c.html#ac3d259a5ea37b2fbf7fc7dee4b49810b", null ], - [ "output_one_line_of_cl", "output_8c.html#a951b1cd656a52f299332d8d28e5dd232", null ], - [ "output_open_pk_file", "output_8c.html#ad4c7659004bb52754db96a7b6fb88f6b", null ], - [ "output_one_line_of_pk", "output_8c.html#a1f9256b9768fc3ca72e0416bc7a04a6a", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/output_8c__incl.map b/doc/manual/html/output_8c__incl.map deleted file mode 100644 index 8925f90d..00000000 --- a/doc/manual/html/output_8c__incl.map +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/output_8c__incl.md5 b/doc/manual/html/output_8c__incl.md5 deleted file mode 100644 index ad224ee0..00000000 --- a/doc/manual/html/output_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -0d0f755283ce1bc6a3fcac192a8e9b87 \ No newline at end of file diff --git a/doc/manual/html/output_8c__incl.png b/doc/manual/html/output_8c__incl.png deleted file mode 100644 index 8ab1eb9f..00000000 Binary files a/doc/manual/html/output_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.map b/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.map deleted file mode 100644 index 00d030af..00000000 --- a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.md5 b/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.md5 deleted file mode 100644 index 1b51e983..00000000 --- a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -c34d71477317e0a621f628c1fb1b3543 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.png b/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.png deleted file mode 100644 index 2e156a62..00000000 Binary files a/doc/manual/html/output_8c_a1f9256b9768fc3ca72e0416bc7a04a6a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.map b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.map deleted file mode 100644 index d2d314be..00000000 --- a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.md5 b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.md5 deleted file mode 100644 index ed686f42..00000000 --- a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -efe5953da3edd499c9e021acb9086208 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.png b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.png deleted file mode 100644 index 75034fd9..00000000 Binary files a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_cgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.map b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.map deleted file mode 100644 index e2a6c5c8..00000000 --- a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.md5 b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.md5 deleted file mode 100644 index 28150566..00000000 --- a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a3608895a2097e54139326e90a448a0d \ No newline at end of file diff --git a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.png b/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.png deleted file mode 100644 index 5e394c48..00000000 Binary files a/doc/manual/html/output_8c_a2b51b250f47325e9a3fd6c7202525d0d_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.map b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.map deleted file mode 100644 index a96c8ab5..00000000 --- a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.md5 b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.md5 deleted file mode 100644 index d6a9dcec..00000000 --- a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2b42f19c8e59b3639eea5b5cf11c34d4 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.png b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.png deleted file mode 100644 index 2cbde5b9..00000000 Binary files a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_cgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.map b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.map deleted file mode 100644 index c2f1a9d0..00000000 --- a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.md5 b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.md5 deleted file mode 100644 index 0c9570b7..00000000 --- a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -90fa65be1bf44b673fac50ebd130e830 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.png b/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.png deleted file mode 100644 index 0028f279..00000000 Binary files a/doc/manual/html/output_8c_a433c6754b69011fc5f4c402fff442c03_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.map b/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.map deleted file mode 100644 index cd30592c..00000000 --- a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.md5 b/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.md5 deleted file mode 100644 index 5e298991..00000000 --- a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4313261fb25618e4ea34d1c0c6fa6eb6 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.png b/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.png deleted file mode 100644 index 3df24ec6..00000000 Binary files a/doc/manual/html/output_8c_a5da9a12c04ffdd30ff7881de756c22b1_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.map b/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.map deleted file mode 100644 index 6c9a16cf..00000000 --- a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.md5 b/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.md5 deleted file mode 100644 index 8c5796e3..00000000 --- a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d78615ddbd4733c22e59e6d3945df3d8 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.png b/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.png deleted file mode 100644 index aac0bdb3..00000000 Binary files a/doc/manual/html/output_8c_a951b1cd656a52f299332d8d28e5dd232_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.map b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.map deleted file mode 100644 index 3f3aea4b..00000000 --- a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.md5 b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.md5 deleted file mode 100644 index 1f2ec913..00000000 --- a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b331b4d369dc1c8ec74e264eaa082995 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.png b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.png deleted file mode 100644 index 3df4b6a0..00000000 Binary files a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_cgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.map b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.map deleted file mode 100644 index 9c966b6a..00000000 --- a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.md5 b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.md5 deleted file mode 100644 index 941336a6..00000000 --- a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -132c4005bdde314a6c25f9a4ddd78c86 \ No newline at end of file diff --git a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.png b/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.png deleted file mode 100644 index 20324b35..00000000 Binary files a/doc/manual/html/output_8c_a9bae3589fccc1c41512259ec74aa8b98_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.map b/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.map deleted file mode 100644 index 79d4db8c..00000000 --- a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.md5 b/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.md5 deleted file mode 100644 index 337d832e..00000000 --- a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e1fd8f29bae2c05d1c1aae7bb8b0395a \ No newline at end of file diff --git a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.png b/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.png deleted file mode 100644 index ae534821..00000000 Binary files a/doc/manual/html/output_8c_ac3d259a5ea37b2fbf7fc7dee4b49810b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.map b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.map deleted file mode 100644 index 4502b1d2..00000000 --- a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.md5 b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.md5 deleted file mode 100644 index 8a2e4960..00000000 --- a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bfc437ef0379e9190be14451a749dc81 \ No newline at end of file diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.png b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.png deleted file mode 100644 index 546d691f..00000000 Binary files a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_cgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.map b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.map deleted file mode 100644 index 7c1620cd..00000000 --- a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.md5 b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.md5 deleted file mode 100644 index 8d6ff8cb..00000000 --- a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f484cd670cb3ca3420fbd8e216d35071 \ No newline at end of file diff --git a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.png b/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.png deleted file mode 100644 index 1ca26b75..00000000 Binary files a/doc/manual/html/output_8c_ac8276c52bb11691d12c9e21977be5d55_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.map b/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.map deleted file mode 100644 index 22d42d20..00000000 --- a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.md5 b/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.md5 deleted file mode 100644 index 39bfb7fc..00000000 --- a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -42cf832fe663fb2b016f7970d226990a \ No newline at end of file diff --git a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.png b/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.png deleted file mode 100644 index 85993953..00000000 Binary files a/doc/manual/html/output_8c_ad4c7659004bb52754db96a7b6fb88f6b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.map b/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.map deleted file mode 100644 index e22d681d..00000000 --- a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.map +++ /dev/null @@ -1,18 +0,0 @@ - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.md5 b/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.md5 deleted file mode 100644 index 186b277e..00000000 --- a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4bef5e5017a36336583c20b370ceb134 \ No newline at end of file diff --git a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.png b/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.png deleted file mode 100644 index 0c15a0ce..00000000 Binary files a/doc/manual/html/output_8c_adb23841ba0e7e7e11781591d2fd8a535_cgraph.png and /dev/null differ diff --git a/doc/manual/html/output_8h.html b/doc/manual/html/output_8h.html deleted file mode 100644 index d93ec5e7..00000000 --- a/doc/manual/html/output_8h.html +++ /dev/null @@ -1,271 +0,0 @@ - - - - - - - -CLASS MANUAL: output.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures | -Macros
    -
    -
    output.h File Reference
    -
    -
    -
    #include "common.h"
    -#include "lensing.h"
    -
    - + Include dependency graph for output.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - -

    -Data Structures

    struct  output
     
    - - - -

    -Macros

    #define _Z_PK_NUM_MAX_   100
     
    -

    Detailed Description

    -

    Documented includes for output module

    -

    Data Structure Documentation

    - -

    ◆ output

    - -
    -
    - - - - -
    struct output
    -
    -

    Structure containing various informations on the output format, all of them initialized by user in input module.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -char -root[_FILENAMESIZE_-32] -

    root for all file names

    -
    -int -z_pk_num -

    number of redshift at which P(k,z) and T_i(k,z) should be written

    -
    -double -z_pk[_Z_PK_NUM_MAX_] -

    value(s) of redshift at which P(k,z) and T_i(k,z) should be written

    -
    -short -write_header -

    flag stating whether we should write a header in output files

    -
    -enum file_format -output_format -

    which format for output files (definitions, order of columns, etc.)

    -
    -short -write_background -

    flag for outputing background evolution in file

    -
    -short -write_thermodynamics -

    flag for outputing thermodynamical evolution in file

    -
    -short -write_perturbations -

    flag for outputing perturbations of selected wavenumber(s) in file(s)

    -
    -short -write_primordial -

    flag for outputing scalar/tensor primordial spectra in files

    -
    -short -output_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    -

    Macro Definition Documentation

    - -

    ◆ _Z_PK_NUM_MAX_

    - -
    -
    - - - - -
    #define _Z_PK_NUM_MAX_   100
    -
    -

    Maximum number of values of redshift at which the spectra will be written in output files

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/output_8h.js b/doc/manual/html/output_8h.js deleted file mode 100644 index 3361543a..00000000 --- a/doc/manual/html/output_8h.js +++ /dev/null @@ -1,17 +0,0 @@ -var output_8h = -[ - [ "output", "output_8h.html#structoutput", [ - [ "root", "output_8h.html#a9bf4ed2484f0a6183cb00fc36685d582", null ], - [ "z_pk_num", "output_8h.html#a50a980e835994df9d57456ae1c264629", null ], - [ "z_pk", "output_8h.html#af0802a2f0198a459a538665088453276", null ], - [ "write_header", "output_8h.html#af1e6b5891529b5327786a5cf09032c4f", null ], - [ "output_format", "output_8h.html#a5792445d2cb4ddf1520fe8dbe1a29568", null ], - [ "write_background", "output_8h.html#a6cd19c7e14f82d8d28bfc9d637d6781c", null ], - [ "write_thermodynamics", "output_8h.html#a0803edaeac4394767bf1ac92ea4389dc", null ], - [ "write_perturbations", "output_8h.html#ac0133a84b97b22bd03596bca8f60f86d", null ], - [ "write_primordial", "output_8h.html#af85e93c87f4b5163e73ff1b99b75e1f3", null ], - [ "output_verbose", "output_8h.html#abcfb9ab7c27dc27c33810dbd025468df", null ], - [ "error_message", "output_8h.html#a9b379f36863d6969898a97291fa78ec3", null ] - ] ], - [ "_Z_PK_NUM_MAX_", "output_8h.html#ad1fd7b52b9596abaee90e5523ec5fe8e", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/output_8h__dep__incl.map b/doc/manual/html/output_8h__dep__incl.map deleted file mode 100644 index 5644f99c..00000000 --- a/doc/manual/html/output_8h__dep__incl.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/output_8h__dep__incl.md5 b/doc/manual/html/output_8h__dep__incl.md5 deleted file mode 100644 index 80726477..00000000 --- a/doc/manual/html/output_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -d286fbfa6472e82599da7f0139ecf3f0 \ No newline at end of file diff --git a/doc/manual/html/output_8h__dep__incl.png b/doc/manual/html/output_8h__dep__incl.png deleted file mode 100644 index a2fe42f7..00000000 Binary files a/doc/manual/html/output_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/output_8h__incl.map b/doc/manual/html/output_8h__incl.map deleted file mode 100644 index 10ba4513..00000000 --- a/doc/manual/html/output_8h__incl.map +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/output_8h__incl.md5 b/doc/manual/html/output_8h__incl.md5 deleted file mode 100644 index cac64193..00000000 --- a/doc/manual/html/output_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -3fdbe19c835fbeb9a0b48eda83987247 \ No newline at end of file diff --git a/doc/manual/html/output_8h__incl.png b/doc/manual/html/output_8h__incl.png deleted file mode 100644 index 62d2d716..00000000 Binary files a/doc/manual/html/output_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/output_8h_source.html b/doc/manual/html/output_8h_source.html deleted file mode 100644 index 9612b7ec..00000000 --- a/doc/manual/html/output_8h_source.html +++ /dev/null @@ -1,132 +0,0 @@ - - - - - - - -CLASS MANUAL: output.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    output.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __OUTPUT__
    4 #define __OUTPUT__
    5 
    6 #include "common.h"
    7 #include "lensing.h"
    8 
    14 #define _Z_PK_NUM_MAX_ 100
    15 
    22 struct output {
    23 
    25 
    26  char root[_FILENAMESIZE_-32];
    29 
    33 
    34  int z_pk_num;
    35  double z_pk[_Z_PK_NUM_MAX_];
    38 
    42 
    43  short write_header;
    45  enum file_format output_format;
    47  short write_background;
    48  short write_thermodynamics;
    49  short write_perturbations;
    50  short write_primordial;
    53 
    57 
    58  short output_verbose;
    60  ErrorMsg error_message;
    63 };
    64 
    65 /*************************************************************************************************************/
    66 /* @cond INCLUDE_WITH_DOXYGEN */
    67 /*
    68  * Boilerplate for C++
    69  */
    70 #ifdef __cplusplus
    71 extern "C" {
    72 #endif
    73 
    74  int output_total_cl_at_l(
    75  struct spectra * psp,
    76  struct lensing * ple,
    77  struct output * pop,
    78  int l,
    79  double * cl
    80  );
    81 
    82  int output_init(
    83  struct background * pba,
    84  struct thermo * pth,
    85  struct perturbs * ppt,
    86  struct primordial * ppm,
    87  struct transfers * ptr,
    88  struct spectra * psp,
    89  struct nonlinear * pnl,
    90  struct lensing * ple,
    91  struct output * pop
    92  );
    93 
    94  int output_cl(
    95  struct background * pba,
    96  struct perturbs * ppt,
    97  struct spectra * psp,
    98  struct lensing * ple,
    99  struct output * pop
    100  );
    101 
    102  int output_pk(
    103  struct background * pba,
    104  struct perturbs * ppt,
    105  struct spectra * psp,
    106  struct output * pop
    107  );
    108 
    109  int output_pk_nl(
    110  struct background * pba,
    111  struct perturbs * ppt,
    112  struct spectra * psp,
    113  struct output * pop
    114  );
    115 
    116  int output_tk(
    117  struct background * pba,
    118  struct perturbs * ppt,
    119  struct spectra * psp,
    120  struct output * pop
    121  );
    122 
    123  int output_background(
    124  struct background * pba,
    125  struct output * pop
    126  );
    127 
    128  int output_thermodynamics(
    129  struct background * pba,
    130  struct thermo * pth,
    131  struct output * pop
    132  );
    133 
    134  int output_perturbations(
    135  struct background * pba,
    136  struct perturbs * ppt,
    137  struct output * pop
    138  );
    139 
    140  int output_primordial(
    141  struct perturbs * ppt,
    142  struct primordial * ppm,
    143  struct output * pop
    144  );
    145 
    146  int output_print_data(FILE *out,
    147  char titles[_MAXTITLESTRINGLENGTH_],
    148  double *dataptr,
    149  int tau_size);
    150  int output_open_cl_file(
    151  struct spectra * psp,
    152  struct output * pop,
    153  FILE ** clfile,
    154  FileName filename,
    155  char * first_line,
    156  int lmax
    157  );
    158 
    159  int output_one_line_of_cl(
    160  struct background * pba,
    161  struct spectra * psp,
    162  struct output * pop,
    163  FILE * clfile,
    164  double l,
    165  double * cl,
    166  int ct_size
    167  );
    168 
    169  int output_open_pk_file(
    170  struct background * pba,
    171  struct spectra * psp,
    172  struct output * pop,
    173  FILE ** pkfile,
    174  FileName filename,
    175  char * first_line,
    176  double z
    177  );
    178 
    179  int output_one_line_of_pk(
    180  FILE * tkfile,
    181  double one_k,
    182  double one_pk
    183  );
    184 
    185  int output_open_pk_nl_file(
    186  struct background * pba,
    187  struct nonlinear * pnl,
    188  struct output * pop,
    189  FILE ** pkfile,
    190  FileName filename,
    191  char * first_line,
    192  double z,
    193  int k_size
    194  );
    195 
    196 
    197 #ifdef __cplusplus
    198 }
    199 #endif
    200 
    201 #endif
    202 /* @endcond */
    background
    Definition: background.h:31
    -
    output_init
    int output_init(struct background *pba, struct thermo *pth, struct perturbs *ppt, struct primordial *ppm, struct transfers *ptr, struct spectra *psp, struct nonlinear *pnl, struct lensing *ple, struct output *pop)
    Definition: output.c:108
    -
    output_tk
    int output_tk(struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
    Definition: output.c:1172
    -
    lensing
    Definition: lensing.h:17
    -
    output_cl
    int output_cl(struct background *pba, struct perturbs *ppt, struct spectra *psp, struct lensing *ple, struct output *pop)
    Definition: output.c:221
    - -
    output_open_pk_file
    int output_open_pk_file(struct background *pba, struct spectra *psp, struct output *pop, FILE **pkfile, FileName filename, char *first_line, double z)
    Definition: output.c:1798
    -
    spectra
    Definition: spectra.h:17
    -
    output_one_line_of_cl
    int output_one_line_of_cl(struct background *pba, struct spectra *psp, struct output *pop, FILE *clfile, double l, double *cl, int ct_size)
    Definition: output.c:1718
    -
    perturbs
    Definition: perturbations.h:95
    -
    output_print_data
    int output_print_data(FILE *out, char titles[_MAXTITLESTRINGLENGTH_], double *dataptr, int size_dataptr)
    Definition: output.c:1520
    -
    thermo
    Definition: thermodynamics.h:58
    -
    output::output_verbose
    short output_verbose
    Definition: output.h:58
    -
    output::z_pk_num
    int z_pk_num
    Definition: output.h:34
    -
    output_open_cl_file
    int output_open_cl_file(struct spectra *psp, struct output *pop, FILE **clfile, FileName filename, char *first_line, int lmax)
    Definition: output.c:1570
    -
    output::write_perturbations
    short write_perturbations
    Definition: output.h:49
    -
    output::output_format
    enum file_format output_format
    Definition: output.h:45
    -
    output
    Definition: output.h:22
    -
    output::root
    char root[_FILENAMESIZE_-32]
    Definition: output.h:26
    -
    transfers
    Definition: transfer.h:38
    -
    output::error_message
    ErrorMsg error_message
    Definition: output.h:60
    -
    output::write_thermodynamics
    short write_thermodynamics
    Definition: output.h:48
    -
    file_format
    file_format
    Definition: common.h:337
    -
    _Z_PK_NUM_MAX_
    #define _Z_PK_NUM_MAX_
    Definition: output.h:14
    -
    output_pk_nl
    int output_pk_nl(struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
    Definition: output.c:1024
    -
    output_pk
    int output_pk(struct background *pba, struct perturbs *ppt, struct spectra *psp, struct output *pop)
    Definition: output.c:601
    -
    output::write_primordial
    short write_primordial
    Definition: output.h:50
    -
    output::z_pk
    double z_pk[_Z_PK_NUM_MAX_]
    Definition: output.h:35
    - -
    output::write_background
    short write_background
    Definition: output.h:47
    -
    primordial
    Definition: primordial.h:79
    -
    output::write_header
    short write_header
    Definition: output.h:43
    -
    output_one_line_of_pk
    int output_one_line_of_pk(FILE *pkfile, double one_k, double one_pk)
    Definition: output.c:1837
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    -
    - - - - diff --git a/doc/manual/html/output_8h_structoutput.js b/doc/manual/html/output_8h_structoutput.js deleted file mode 100644 index ce2375ed..00000000 --- a/doc/manual/html/output_8h_structoutput.js +++ /dev/null @@ -1,14 +0,0 @@ -var output_8h_structoutput = -[ - [ "root", "output_8h.html#a9bf4ed2484f0a6183cb00fc36685d582", null ], - [ "z_pk_num", "output_8h.html#a50a980e835994df9d57456ae1c264629", null ], - [ "z_pk", "output_8h.html#af0802a2f0198a459a538665088453276", null ], - [ "write_header", "output_8h.html#af1e6b5891529b5327786a5cf09032c4f", null ], - [ "output_format", "output_8h.html#a5792445d2cb4ddf1520fe8dbe1a29568", null ], - [ "write_background", "output_8h.html#a6cd19c7e14f82d8d28bfc9d637d6781c", null ], - [ "write_thermodynamics", "output_8h.html#a0803edaeac4394767bf1ac92ea4389dc", null ], - [ "write_perturbations", "output_8h.html#ac0133a84b97b22bd03596bca8f60f86d", null ], - [ "write_primordial", "output_8h.html#af85e93c87f4b5163e73ff1b99b75e1f3", null ], - [ "output_verbose", "output_8h.html#abcfb9ab7c27dc27c33810dbd025468df", null ], - [ "error_message", "output_8h.html#a9b379f36863d6969898a97291fa78ec3", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/pages.html b/doc/manual/html/pages.html deleted file mode 100644 index 57465a44..00000000 --- a/doc/manual/html/pages.html +++ /dev/null @@ -1,105 +0,0 @@ - - - - - - - -CLASS MANUAL: Related Pages - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    Related Pages
    -
    -
    -
    Here is a list of all related documentation pages:
    - - - - - -
     Where to find information and documentation on CLASS?
     CLASS overview (architecture, input/output, general principles)
     The `external_Pk` mode
     Updating the manual
    -
    -
    -
    - - - - diff --git a/doc/manual/html/parser_8h_source.html b/doc/manual/html/parser_8h_source.html deleted file mode 100644 index 857ccff0..00000000 --- a/doc/manual/html/parser_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: parser.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    parser.h
    -
    -
    -
    1 #ifndef __PARSER__
    2 #define __PARSER__
    3 
    4 #include "common.h"
    5 
    6 #define _LINE_LENGTH_MAX_ 1024
    7 #define _ARGUMENT_LENGTH_MAX_ 1024
    9 typedef char FileArg[_ARGUMENT_LENGTH_MAX_];
    10 
    11 /* after reading a given file, all relevant information stored in this structure, in view of being processed later*/
    12 struct file_content {
    13  char * filename;
    14  int size;
    15  FileArg * name;
    16  FileArg * value;
    17  short * read;
    18 };
    19 
    20 /**************************************************************/
    21 
    22 /*
    23  * Boilerplate for C++
    24  */
    25 #ifdef __cplusplus
    26 extern "C" {
    27 #endif
    28 
    29 int parser_read_file(
    30  char * filename,
    31  struct file_content * pfc,
    32  ErrorMsg errmsg
    33  );
    34 
    35 int parser_init(
    36  struct file_content * pfc,
    37  int size,
    38  char * filename,
    39  ErrorMsg errmsg
    40  );
    41 
    42 int parser_free(
    43  struct file_content * pfc
    44  );
    45 
    46 int parser_read_line(
    47  char * line,
    48  int * is_data,
    49  char * name,
    50  char * value,
    51  ErrorMsg errmsg
    52  );
    53 
    54 int parser_read_int(
    55  struct file_content * pfc,
    56  char * name,
    57  int * value,
    58  int * found,
    59  ErrorMsg errmsg
    60  );
    61 
    62 int parser_read_double(
    63  struct file_content * pfc,
    64  char * name,
    65  double * value,
    66  int * found,
    67  ErrorMsg errmsg
    68  );
    69 
    70  int parser_read_double_and_position(
    71  struct file_content * pfc,
    72  char * name,
    73  double * value,
    74  int * position,
    75  int * found,
    76  ErrorMsg errmsg
    77  );
    78 
    79 int parser_read_string(
    80  struct file_content * pfc,
    81  char * name,
    82  FileArg * value,
    83  int * found,
    84  ErrorMsg errmsg
    85  );
    86 
    87 int parser_read_list_of_doubles(
    88  struct file_content * pfc,
    89  char * name,
    90  int * size,
    91  double ** pointer_to_list,
    92  int * found,
    93  ErrorMsg errmsg
    94  );
    95 
    96 int parser_read_list_of_integers(
    97  struct file_content * pfc,
    98  char * name,
    99  int * size,
    100  int ** pointer_to_list,
    101  int * found,
    102  ErrorMsg errmsg
    103  );
    104 
    105 int parser_read_list_of_strings(
    106  struct file_content * pfc,
    107  char * name,
    108  int * size,
    109  char ** pointer_to_list,
    110  int * found,
    111  ErrorMsg errmsg
    112  );
    113 
    114 int parser_cat(
    115  struct file_content * pfc1,
    116  struct file_content * pfc2,
    117  struct file_content * pfc3,
    118  ErrorMsg errmsg
    119  );
    120 
    121 #ifdef __cplusplus
    122 }
    123 #endif
    124 
    125 #endif
    -
    -
    - - - - diff --git a/doc/manual/html/perturbations_8c.html b/doc/manual/html/perturbations_8c.html deleted file mode 100644 index 474397ac..00000000 --- a/doc/manual/html/perturbations_8c.html +++ /dev/null @@ -1,2121 +0,0 @@ - - - - - - - -CLASS MANUAL: perturbations.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    perturbations.c File Reference
    -
    -
    -
    #include "perturbations.h"
    -
    - + Include dependency graph for perturbations.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int perturb_sources_at_tau (struct perturbs *ppt, int index_md, int index_ic, int index_type, double tau, double *psource)
     
    int perturb_init (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
     
    int perturb_free (struct perturbs *ppt)
     
    int perturb_indices_of_perturbs (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
     
    int perturb_timesampling_for_sources (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
     
    int perturb_get_k_list (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
     
    int perturb_workspace_init (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, struct perturb_workspace *ppw)
     
    int perturb_workspace_free (struct perturbs *ppt, int index_md, struct perturb_workspace *ppw)
     
    int perturb_solve (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, int index_ic, int index_k, struct perturb_workspace *ppw)
     
    int perturb_prepare_output (struct background *pba, struct perturbs *ppt)
     
    int perturb_find_approximation_number (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, struct perturb_workspace *ppw, double tau_ini, double tau_end, int *interval_number, int *interval_number_of)
     
    int perturb_find_approximation_switches (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, struct perturb_workspace *ppw, double tau_ini, double tau_end, double precision, int interval_number, int *interval_number_of, double *interval_limit, int **interval_approx)
     
    int perturb_vector_init (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, int index_ic, double k, double tau, struct perturb_workspace *ppw, int *pa_old)
     
    int perturb_vector_free (struct perturb_vector *pv)
     
    int perturb_initial_conditions (struct precision *ppr, struct background *pba, struct perturbs *ppt, int index_md, int index_ic, double k, double tau, struct perturb_workspace *ppw)
     
    int perturb_approximations (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double tau, struct perturb_workspace *ppw)
     
    int perturb_timescale (double tau, void *parameters_and_workspace, double *timescale, ErrorMsg error_message)
     
    int perturb_einstein (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double tau, double *y, struct perturb_workspace *ppw)
     
    int perturb_total_stress_energy (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double *y, struct perturb_workspace *ppw)
     
    int perturb_sources (double tau, double *y, double *dy, int index_tau, void *parameters_and_workspace, ErrorMsg error_message)
     
    int perturb_print_variables (double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
     
    int perturb_derivs (double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
     
    int perturb_tca_slip_and_shear (double *y, void *parameters_and_workspace, ErrorMsg error_message)
     
    -

    Detailed Description

    -

    Documented perturbation module

    -

    Julien Lesgourgues, 23.09.2010

    -

    Deals with the perturbation evolution. This module has two purposes:

    -
      -
    • at the beginning; to initialize the perturbations, i.e. to integrate the perturbation equations, and store temporarily the terms contributing to the source functions as a function of conformal time. Then, to perform a few manipulations of these terms in order to infer the actual source functions $ S^{X} (k, \tau) $, and to store them as a function of conformal time inside an interpolation table.
      • -
    • at any time in the code; to evaluate the source functions at a given conformal time (by interpolating within the interpolation table).
      • -
    -

    Hence the following functions can be called from other modules:

    -
      -
    1. perturb_init() at the beginning (but after background_init() and thermodynamics_init())
      2. -
    2. perturb_sources_at_tau() at any later time
      3. -
    3. perturb_free() at the end, when no more calls to perturb_sources_at_tau() are needed
      4. -
    -

    Function Documentation

    - -

    ◆ perturb_sources_at_tau()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_sources_at_tau (struct perturbs * ppt,
    int index_md,
    int index_ic,
    int index_type,
    double tau,
    double * psource 
    )
    -
    -

    Source function $ S^{X} (k, \tau) $ at a given conformal time tau.

    -

    Evaluate source functions at given conformal time tau by reading the pre-computed table and interpolating.

    -
    Parameters
    - - - - - - - -
    pptInput: pointer to perturbation structure containing interpolation tables
    index_mdInput: index of requested mode
    index_icInput: index of requested initial condition
    index_typeInput: index of requested source function type
    tauInput: any value of conformal time
    psourceOutput: vector (already allocated) of source function as a function of k
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • interpolate in pre-computed table contained in ppt
      • -
    - -
    -
    - -

    ◆ perturb_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt 
    )
    -
    -

    Initialize the perturbs structure, and in particular the table of source functions.

    -

    Main steps:

    -
      -
    • given the values of the flags describing which kind of perturbations should be considered (modes: scalar/vector/tensor, initial conditions, type of source functions needed...), initialize indices and wavenumber list
      • -
    • define the time sampling for the output source functions
      • -
    • for each mode (scalar/vector/tensor): initialize the indices of relevant perturbations, integrate the differential system, compute and store the source functions.
      • -
    -
    Parameters
    - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptOutput: Initialized perturbation structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • perform preliminary checks
      • -
    • initialize all indices and lists in perturbs structure using perturb_indices_of_perturbs()
      • -
    • define the common time sampling for all sources using perturb_timesampling_for_sources()
      • -
    • if we want to store perturbations, write titles and allocate storage
      • -
    • create an array of workspaces in multi-thread case
      • -
    • loop over modes (scalar, tensors, etc). For each mode:
      • -
    • –> (a) create a workspace (one per thread in multi-thread case)
      • -
    • –> (b) initialize indices of vectors of perturbations with perturb_indices_of_current_vectors()
      • -
    • –> (c) loop over initial conditions and wavenumbers; for each of them, evolve perturbations and compute source functions with perturb_solve()
      • -
    - -
    -
    - -

    ◆ perturb_free()

    - -
    -
    - - - - - - - - -
    int perturb_free (struct perturbs * ppt)
    -
    -

    Free all memory space allocated by perturb_init().

    -

    To be called at the end of each run, only when no further calls to perturb_sources_at_tau() are needed.

    -
    Parameters
    - - -
    pptInput: perturbation structure to be freed
    -
    -
    -
    Returns
    the error status
    -

    Stuff related to perturbations output:

    -
      -
    • Free non-NULL pointers
      • -
    - -
    -
    - -

    ◆ perturb_indices_of_perturbs()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_indices_of_perturbs (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt 
    )
    -
    -

    Initialize all indices and allocate most arrays in perturbs structure.

    -
    Parameters
    - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput/Output: Initialized perturbation structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • count modes (scalar, vector, tensor) and assign corresponding indices
      • -
    • allocate array of number of types for each mode, ppt->tp_size[index_md]
      • -
    • allocate array of number of initial conditions for each mode, ppt->ic_size[index_md]
      • -
    • allocate array of arrays of source functions for each mode, ppt->source[index_md]
      • -
    • initialization of all flags to false (will eventually be set to true later)
      • -
    • source flags and indices, for sources that all modes have in common (temperature, polarization, ...). For temperature, the term t2 is always non-zero, while other terms are non-zero only for scalars and vectors. For polarization, the term e is always non-zero, while the term b is only for vectors and tensors.
      • -
    • define k values with perturb_get_k_list()
      • -
    • loop over modes. Initialize flags and indices which are specific to each mode.
      • -
    • (a) scalars
      • -
    • –> source flags and indices, for sources that are specific to scalars
      • -
    • –> count scalar initial conditions (for scalars: ad, cdi, nid, niv; for tensors: only one) and assign corresponding indices
      • -
    • (b) vectors
      • -
    • –> source flags and indices, for sources that are specific to vectors
      • -
    • –> initial conditions for vectors
      • -
    • (c) tensors
      • -
    • –> source flags and indices, for sources that are specific to tensors
      • -
    • –> only one initial condition for tensors
      • -
    • (d) for each mode, allocate array of arrays of source functions for each initial conditions and wavenumber, (ppt->source[index_md])[index_ic][index_type]
      • -
    - -
    -
    - -

    ◆ perturb_timesampling_for_sources()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_timesampling_for_sources (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt 
    )
    -
    -

    Define time sampling for source functions.

    -

    For each type, compute the list of values of tau at which sources will be sampled. Knowing the number of tau values, allocate all arrays of source functions.

    -
    Parameters
    - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput/Output: Initialized perturbation structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate background/thermodynamics vectors
      • -
    • first, just count the number of sampling points in order to allocate the array containing all values
      • -
    • (a) if CMB requested, first sampling point = when the universe stops being opaque; otherwise, start sampling gravitational potential at recombination [however, if perturbed recombination is requested, we also need to start the system before recombination. Otherwise, the initial conditions for gas temperature and ionization fraction perturbations (delta_T = 1/3 delta_b, delta_x_e) are not valid].
      • -
    • (b) next sampling point = previous + ppr->perturb_sampling_stepsize * timescale_source, where:
      • -
    • –> if CMB requested: timescale_source1 = $ |g/\dot{g}| = |\dot{\kappa}-\ddot{\kappa}/\dot{\kappa}|^{-1} $; timescale_source2 = $ |2\ddot{a}/a-(\dot{a}/a)^2|^{-1/2} $ (to sample correctly the late ISW effect; and timescale_source=1/(1/timescale_source1+1/timescale_source2); repeat till today.
      • -
    • –> if CMB not requested: timescale_source = 1/aH; repeat till today.
      • -
    • –> infer total number of time steps, ppt->tau_size
      • -
    • –> allocate array of time steps, ppt->tau_sampling[index_tau]
      • -
    • –> repeat the same steps, now filling the array with each tau value:
      • -
    • –> (b.1.) first sampling point = when the universe stops being opaque
      • -
    • –> (b.2.) next sampling point = previous + ppr->perturb_sampling_stepsize * timescale_source, where timescale_source1 = $ |g/\dot{g}| = |\dot{\kappa}-\ddot{\kappa}/\dot{\kappa}|^{-1} $; timescale_source2 = $ |2\ddot{a}/a-(\dot{a}/a)^2|^{-1/2} $ (to sample correctly the late ISW effect; and timescale_source=1/(1/timescale_source1+1/timescale_source2); repeat till today. If CMB not requested: timescale_source = 1/aH; repeat till today.
      • -
    • last sampling point = exactly today
      • -
    • loop over modes, initial conditions and types. For each of them, allocate array of source functions.
      • -
    - -
    -
    - -

    ◆ perturb_get_k_list()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_get_k_list (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt 
    )
    -
    -

    Define the number of comoving wavenumbers using the information passed in the precision structure.

    -
    Parameters
    - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput: pointer to perturbation structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • allocate arrays related to k list for each mode
      • -
    • scalar modes
      • -
    • –> find k_max (as well as k_max_cmb[ppt->index_md_scalars], k_max_cl[ppt->index_md_scalars])
      • -
    • –> test that result for k_min, k_max make sense
      • -
    • vector modes
      • -
    • –> find k_max (as well as k_max_cmb[ppt->index_md_vectors], k_max_cl[ppt->index_md_vectors])
      • -
    • –> test that result for k_min, k_max make sense
      • -
    • tensor modes
      • -
    • –> find k_max (as well as k_max_cmb[ppt->index_md_tensors], k_max_cl[ppt->index_md_tensors])
      • -
    • –> test that result for k_min, k_max make sense
      • -
    • If user asked for k_output_values, add those to all k lists:
      • -
    • –> Find indices in ppt->k[index_md] corresponding to 'k_output_values'. We are assuming that ppt->k is sorted and growing, and we have made sure that ppt->k_output_values is also sorted and growing.
      • -
    • –> Decide if we should add k_output_value now. This has to be this complicated, since we can only compare the k-values when both indices are in range.
      • -
    • –> The two MIN statements are here because in a normal run, the cl and cmb arrays contain a single k value larger than their respective k_max. We are mimicking this behavior.
      • -
    • finally, find the global k_min and k_max for the ensemble of all modes 9scalars, vectors, tensors)
      • -
    - -
    -
    - -

    ◆ perturb_workspace_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_workspace_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    struct perturb_workspace * ppw 
    )
    -
    -

    Initialize a perturb_workspace structure. All fields are allocated here, with the exception of the perturb_vector '–>pv' field, which is allocated separately in perturb_vector_init. We allocate one such perturb_workspace structure per thread and per mode (scalar/../tensor). Then, for each thread, all initial conditions and wavenumbers will use the same workspace.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    ppwInput/Output: pointer to perturb_workspace structure which fields are allocated or filled here
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • Compute maximum l_max for any multipole
      • -
    • Allocate $ s_l$[ ] array for freestreaming of multipoles (see arXiv:1305.3261) and initialize to 1.0, which is the K=0 value.
      • -
    • define indices of metric perturbations obeying constraint equations (this can be done once and for all, because the vector of metric perturbations is the same whatever the approximation scheme, unlike the vector of quantities to be integrated, which is allocated separately in perturb_vector_init)
      • -
    • allocate some workspace in which we will store temporarily the values of background, thermodynamics, metric and source quantities at a given time
      • -
    • count number of approximations, initialize their indices, and allocate their flags
      • -
    • For definiteness, initialize approximation flags to arbitrary values (correct values are overwritten in pertub_find_approximation_switches)
      • -
    • allocate fields where some of the perturbations are stored
      • -
    - -
    -
    - -

    ◆ perturb_workspace_free()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_workspace_free (struct perturbs * ppt,
    int index_md,
    struct perturb_workspace * ppw 
    )
    -
    -

    Free the perturb_workspace structure (with the exception of the perturb_vector '–>pv' field, which is freed separately in perturb_vector_free).

    -
    Parameters
    - - - - -
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    ppwInput: pointer to perturb_workspace structure to be freed
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ perturb_solve()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_solve (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    int index_ic,
    int index_k,
    struct perturb_workspace * ppw 
    )
    -
    -

    Solve the perturbation evolution for a given mode, initial condition and wavenumber, and compute the corresponding source functions.

    -

    For a given mode, initial condition and wavenumber, this function finds the time ranges over which the perturbations can be described within a given approximation. For each such range, it initializes (or redistributes) perturbations using perturb_vector_init(), and integrates over time. Whenever a "source sampling time" is passed, the source terms are computed and stored in the source table using perturb_sources().

    -
    Parameters
    - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure
    pptInput/Output: pointer to the perturbation structure (output source functions S(k,tau) written here)
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    index_icInput: index of initial condition under consideration (ad, iso...)
    index_kInput: index of wavenumber
    ppwInput: pointer to perturb_workspace structure containing index values and workspaces
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • initialize indices relevant for back/thermo tables search
      • -
    • get wavenumber value
      • -
    • If non-zero curvature, update array of free-streaming coefficients ppw->s_l
      • -
    • maximum value of tau for which sources are calculated for this wavenumber
      • -
    • using bisection, compute minimum value of tau for which this wavenumber is integrated
      • -
    • find the number of intervals over which approximation scheme is constant
      • -
    • fill the structure containing all fixed parameters, indices and workspaces needed by perturb_derivs
      • -
    • check whether we need to print perturbations to a file for this wavenumber
      • -
    • loop over intervals over which approximation scheme is uniform. For each interval:
      • -
    • –> (a) fix the approximation scheme
      • -
    • –> (b) get the previous approximation scheme. If the current interval starts from the initial time tau_ini, the previous approximation is set to be a NULL pointer, so that the function perturb_vector_init() knows that perturbations must be initialized
      • -
    • –> (c) define the vector of perturbations to be integrated over. If the current interval starts from the initial time tau_ini, fill the vector with initial conditions for each mode. If it starts from an approximation switching point, redistribute correctly the perturbations from the previous to the new vector of perturbations.
      • -
    • –> (d) integrate the perturbations over the current interval.
      • -
    • if perturbations were printed in a file, close the file
      • -
    • fill the source terms array with zeros for all times between the last integrated time tau_max and tau_today.
      • -
    • free quantities allocated at the beginning of the routine
      • -
    - -
    -
    - -

    ◆ perturb_prepare_output()

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    int perturb_prepare_output (struct background * pba,
    struct perturbs * ppt 
    )
    -
    -

    Write titles for all perturbations that we would like to print/store.

    - -
    -
    - -

    ◆ perturb_find_approximation_number()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_find_approximation_number (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    double k,
    struct perturb_workspace * ppw,
    double tau_ini,
    double tau_end,
    int * interval_number,
    int * interval_number_of 
    )
    -
    -

    For a given mode and wavenumber, find the number of intervals of time between tau_ini and tau_end such that the approximation scheme (and the number of perturbation equations) is uniform.

    -
    Parameters
    - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    kInput: index of wavenumber
    ppwInput: pointer to perturb_workspace structure containing index values and workspaces
    tau_iniInput: initial time of the perturbation integration
    tau_endInput: final time of the perturbation integration
    interval_numberOutput: total number of intervals
    interval_number_ofOutput: number of intervals with respect to each particular approximation
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • fix default number of intervals to one (if no approximation switch)
      • -
    • loop over each approximation and add the number of approximation switching times
      • -
    - -
    -
    - -

    ◆ perturb_find_approximation_switches()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_find_approximation_switches (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    double k,
    struct perturb_workspace * ppw,
    double tau_ini,
    double tau_end,
    double precision,
    int interval_number,
    int * interval_number_of,
    double * interval_limit,
    int ** interval_approx 
    )
    -
    -

    For a given mode and wavenumber, find the values of time at which the approximation changes.

    -
    Parameters
    - - - - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    kInput: index of wavenumber
    ppwInput: pointer to perturb_workspace structure containing index values and workspaces
    tau_iniInput: initial time of the perturbation integration
    tau_endInput: final time of the perturbation integration
    precisionInput: tolerance on output values
    interval_numberInput: total number of intervals
    interval_number_ofInput: number of intervals with respect to each particular approximation
    interval_limitOutput: value of time at the boundary of the intervals: tau_ini, tau_switch1, ..., tau_end
    interval_approxOutput: value of approximations in each interval
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • write in output arrays the initial time and approximation
      • -
    • if there are no approximation switches, just write final time and return
      • -
    • if there are switches, consider approximations one after each other. Find switching time by bisection. Store all switches in arbitrary order in array unsorted_tau_switch[ ]
      • -
    • now sort interval limits in correct order
      • -
    • store each approximation in chronological order
      • -
    - -
    -
    - -

    ◆ perturb_vector_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_vector_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    int index_ic,
    double k,
    double tau,
    struct perturb_workspace * ppw,
    int * pa_old 
    )
    -
    -

    Initialize the field '–>pv' of a perturb_workspace structure, which is a perturb_vector structure. This structure contains indices and values of all quantities which need to be integrated with respect to time (and only them: quantities fixed analytically or obeying constraint equations are NOT included in this vector). This routine distinguishes between two cases:

    -

    –> the input pa_old is set to the NULL pointer:

    -

    This happens when we start integrating over a new wavenumber and we want to set initial conditions for the perturbations. Then, it is assumed that ppw–>pv is not yet allocated. This routine allocates it, defines all indices, and then fills the vector ppw–>pv–>y with the initial conditions defined in perturb_initial_conditions.

    -

    –> the input pa_old is not set to the NULL pointer and describes some set of approximations:

    -

    This happens when we need to change approximation scheme while integrating over a given wavenumber. The new approximation described by ppw–>pa is then different from pa_old. Then, this routine allocates a new vector with a new size and new index values; it fills this vector with initial conditions taken from the previous vector passed as an input in ppw–>pv, and eventually with some analytic approximations for the new variables appearing at this time; then the new vector comes in replacement of the old one, which is freed.

    -
    Parameters
    - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    index_icInput: index of initial condition under consideration (ad, iso...)
    kInput: wavenumber
    tauInput: conformal time
    ppwInput/Output: workspace containing in input the approximation scheme, the background/thermodynamics/metric quantities, and eventually the previous vector y; and in output the new vector y.
    pa_oldInput: NULL is we need to set y to initial conditions for a new wavenumber; points towards a perturb_approximations if we want to switch of approximation.
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate a new perturb_vector structure to which ppw–>pv will point at the end of the routine
      • -
    • initialize pointers to NULL (they will be allocated later if needed), relevant for perturb_vector_free()
      • -
    • define all indices in this new vector (depends on approximation scheme, described by the input structure ppw–>pa)
      • -
    • (a) metric perturbations V or $ h_v $ depending on gauge
      • -
    • (b) metric perturbation h is a propagating degree of freedom, so h and hdot are included in the vector of ordinary perturbations, no in that of metric perturbations
      • -
    • allocate vectors for storing the values of all these quantities and their time-derivatives at a given time
      • -
    • specify which perturbations are needed in the evaluation of source terms
      • -
    • case of setting initial conditions for a new wavenumber
      • -
    • –> (a) check that current approximation scheme is consistent with initial conditions
      • -
    • –> (b) let ppw–>pv points towards the perturb_vector structure that we just created
      • -
    • –> (c) fill the vector ppw–>pv–>y with appropriate initial conditions
      • -
    • case of switching approximation while a wavenumber is being integrated
      • -
    • –> (a) for the scalar mode:
      • -
    • —> (a.1.) check that the change of approximation scheme makes sense (note: before calling this routine there is already a check that we wish to change only one approximation flag at a time)
      • -
    • —> (a.2.) some variables (b, cdm, fld, ...) are not affected by any approximation. They need to be reconducted whatever the approximation switching is. We treat them here. Below we will treat other variables case by case.
      • -
    • –> (b) for the vector mode
      • -
    • —> (b.1.) check that the change of approximation scheme makes sense (note: before calling this routine there is already a check that we wish to change only one approximation flag at a time)
      • -
    • —> (b.2.) some variables (gw, gwdot, ...) are not affected by any approximation. They need to be reconducted whatever the approximation switching is. We treat them here. Below we will treat other variables case by case.
      • -
    • –> (c) for the tensor mode
      • -
    • —> (c.1.) check that the change of approximation scheme makes sense (note: before calling this routine there is already a check that we wish to change only one approximation flag at a time)
      • -
    • —> (c.2.) some variables (gw, gwdot, ...) are not affected by any approximation. They need to be reconducted whatever the approximation switching is. We treat them here. Below we will treat other variables case by case.
      • -
    • –> (d) free the previous vector of perturbations
      • -
    • –> (e) let ppw–>pv points towards the perturb_vector structure that we just created
      • -
    - -
    -
    - -

    ◆ perturb_vector_free()

    - -
    -
    - - - - - - - - -
    int perturb_vector_free (struct perturb_vector * pv)
    -
    -

    Free the perturb_vector structure.

    -
    Parameters
    - - -
    pvInput: pointer to perturb_vector structure to be freed
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ perturb_initial_conditions()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_initial_conditions (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    int index_md,
    int index_ic,
    double k,
    double tau,
    struct perturb_workspace * ppw 
    )
    -
    -

    For each mode, wavenumber and initial condition, this function initializes in the vector all values of perturbed variables (in a given gauge). It is assumed here that all values have previously been set to zero, only non-zero values are set here.

    -
    Parameters
    - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    index_icInput: index of initial condition under consideration (ad, iso...)
    kInput: wavenumber
    tauInput: conformal time
    ppwInput/Output: workspace containing in input the approximation scheme, the background/thermodynamics/metric quantities, and eventually the previous vector y; and in output the new vector y.
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -

    –> Declare local variables

    -

    –> For scalars

    -
      -
    • (a) compute relevant background quantities: compute rho_r, rho_m, rho_nu (= all relativistic except photons), and their ratio.
      • -
    • (b) starts by setting everything in synchronous gauge. If another gauge is needed, we will perform a gauge transformation below.
      • -
    • –> (b.1.) adiabatic
      • -
    • —> Canonical field (solving for the perturbations): initial perturbations set to zero, they should reach the attractor soon enough.
      • -
    • —> TODO: Incorporate the attractor IC from 1004.5509. delta_phi $ = -(a/k)^2/\phi'(\rho + p)\theta $, delta_phi_prime $ = a^2/\phi' $ (delta_rho_phi + V'delta_phi), and assume theta, delta_rho as for perfect fluid with $ c_s^2 = 1 $ and w = 1/3 (ASSUMES radiation TRACKING)
      • -
    • –> (b.2.) Cold dark matter Isocurvature
      • -
    • –> (b.3.) Baryon Isocurvature
      • -
    • –> (b.4.) Neutrino density Isocurvature
      • -
    • –> (b.5.) Neutrino velocity Isocurvature
      • -
    • (c) If the needed gauge is really the synchronous gauge, we need to affect the previously computed value of eta to the actual variable eta
      • -
    • (d) If the needed gauge is the newtonian gauge, we must compute alpha and then perform a gauge transformation for each variable
      • -
    • (e) In any gauge, we should now implement the relativistic initial conditions in ur and ncdm variables
      • -
    -

    –> For tensors

    -

    tensor initial conditions take into account the fact that scalar (resp. tensor) $ C_l$'s are related to the real space power spectrum of curvature (resp. of the tensor part of metric perturbations)

    -

    -\[ <R(x) R(x)> \ \ \sum_{ij} <h_{ij}(x) h^{ij}(x)> \] -

    -

    In momentum space it is conventional to use the modes R(k) and h(k) where the quantity h obeying to the equation of propagation:

    -

    -\[ h'' + \frac{2a'}{a} h + [k2+2K] h = 12\pi Ga2 (\rho+p) \sigma = 8\pi Ga2 p \pi \] -

    -

    and the power spectra in real space and momentum space are related through:

    -

    -\[ <R(x) R(x)> = \int \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} <R(k)R(k)^*>\right] = \int \frac{dk}{k} \mathcal{P}_R(k) \] -

    -

    -\[\sum_{ij} <h_{ij}(x) h^{ij}(x)> = \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} F\left(\frac{k^2}{K}\right) <h(k)h(k)^*>\right] = \int \frac{dk}{k} F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \] -

    -

    where $ \mathcal{P}_R$ and $ \mathcal{P}_h$ are the dimensionless spectrum of curvature R, and F is a function of k2/K, where K is the curvature parameter. F is equal to one in flat space (K=0), and coming from the contraction of the laplacian eigentensor $ Q_{ij}$ with itself. We will give F explicitly below.

    -

    Similarly the scalar (S) and tensor (T) $ C_l$'s are given by

    -

    -\[ C_l^S = 4\pi \int \frac{dk}{k} [\Delta_l^S(q)]^2 \mathcal{P}_R(k) \] -

    -

    -\[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \] -

    -

    The usual convention for the tensor-to-scalar ratio $ r = A_t / A_s $ at pivot scale = 16 epsilon in single-field inflation is such that for constant $ \mathcal{P}_R(k)$ and $ \mathcal{P}_h(k)$,

    -

    -\[ r = 6 \frac{\mathcal{P}_h(k)}{\mathcal{P}_R(k)} \] -

    -

    so

    -

    -\[ \mathcal{P}_h(k) = \frac{\mathcal{P}_R(k) r}{6} = \frac{A_s r}{6} = \frac{A_t}{6} \] -

    -

    A priori it would make sense to say that for a power-law primordial spectrum there is an extra factor $ (k/k_{pivot})^{n_t} $ (and eventually running and so on and so forth...)

    -

    However it has been shown that the minimal models of inflation in a negatively curved bubble lead to $ \mathcal{P}_h(k)=\tanh(\pi*\nu/2)$. In open models it is customary to define the tensor tilt in a non-flat universe as a deviation from this behavior rather than from true scale-invariance in the above sense.

    -

    Hence we should have

    -

    -\[ \mathcal{P}_h(k) = \frac{A_t}{6} [ \tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)}\] -

    -

    where the brackets

    -\[ [...] \] -

    -

    mean "if K<0"

    -

    Then

    -

    -\[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \frac{A_t}{6} [\tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)} \] -

    -

    In the code, it is then a matter of choice to write:

    -
      -
    • In the primordial module: $ \mathcal{P}_h(k) = \frac{A_t}{6} \tanh{(\pi*\frac{\nu}{2})} (k/k^*)^{n_T}$
      • -
    • In the perturbation initial conditions: $ h = 1$
      • -
    • In the spectra module: $ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) $
      • -
    -

    or:

    -
      -
    • In the primordial module: $ \mathcal{P}_h(k) = A_t (k/k^*)^{n_T} $
      • -
    • In the perturbation initial conditions: $ h = \sqrt{[F\left(\frac{k^2}{K}\right) / 6] \tanh{(\pi*\frac{\nu}{2})}} $
      • -
    • In the spectra module: $ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 \mathcal{P}_h(k) $
      • -
    -

    We choose this last option, such that the primordial and spectra module differ minimally in flat and non-flat space. Then we must impose

    -

    -\[ h = \sqrt{\left(\frac{F}{6}\right) \tanh{(\pi*\frac{\nu}{2})}} \] -

    -

    The factor F is found to be given by:

    -

    -\[ \sum_{ij}<h_{ij}(x) h^{ij}(x)> = \int \frac{dk}{k} \frac{k2(k2-K)}{(k2+3K)(k2+2K)} \mathcal{P}_h(k) \] -

    -

    Introducing as usual $ q2 = k2 - 3K $ and using qdq = kdk this gives

    -

    -\[ \sum_{ij}<h_{ij}(x) h^{ij}(x)> = \int \frac{dk}{k} \frac{(q2-3K)(q2-4K)}{q2(q2-K)} \mathcal{P}_h(k) \] -

    -

    Using qdq = kdk this is equivalent to

    -

    -\[ \sum_{ij}<h_{ij}(x) h^{ij}(x)> = \int \frac{dq}{q} \frac{q2-4K}{q2-K} \mathcal{P}_h(k(q)) \] -

    -

    Finally, introducing $ \nu=q/\sqrt{|K|}$ and sgnK=SIGN(k) $=\pm 1$, this could also be written

    -

    -\[ \sum_{ij}<h_{ij}(x) h^{ij}(x)> = \int \frac{d\nu}{\nu} \frac{(\nu2-4sgnK)}{(\nu2-sgnK)} \mathcal{P}_h(k(\nu)) \] -

    -

    Equation (43,44) of Hu, Seljak, White, Zaldarriaga is equivalent to absorbing the above factor $ (\nu2-4sgnK)/(\nu2-sgnK)$ in the definition of the primordial spectrum. Since the initial condition should be written in terms of k rather than nu, they should read

    -

    -\[ h = \sqrt{ [k2(k2-K)]/[(k2+3K)(k2+2K)] / 6 * \tanh{(\pi*\frac{\nu}{2})} } \] -

    -

    We leave the freedom to multiply by an arbitrary number ppr->gw_ini. The standard convention corresponding to standard definitions of r, $ A_T$, $ n_T$ is however ppr->gw_ini=1.

    - -
    -
    - -

    ◆ perturb_approximations()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_approximations (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    double k,
    double tau,
    struct perturb_workspace * ppw 
    )
    -
    -

    Evaluate background/thermodynamics at $ \tau $, infer useful flags / time scales for integrating perturbations.

    -

    Evaluate background quantities at $ \tau $, as well as thermodynamics for scalar mode; infer useful flags and time scales for integrating the perturbations:

      -
    • check whether tight-coupling approximation is needed.
      • -
    • check whether radiation (photons, massless neutrinos...) perturbations are needed.
      • -
    • choose step of integration: step = ppr->perturb_integration_stepsize * min_time_scale, where min_time_scale = smallest time scale involved in the equations. There are three time scales to compare:
        -
      1. that of recombination, $ \tau_c = 1/\kappa' $
        2. -
      2. Hubble time scale, $ \tau_h = a/a' $
        3. -
      3. Fourier mode, $ \tau_k = 1/k $
        4. -
      -
      • -
    -

    So, in general, min_time_scale = $ \min(\tau_c, \tau_b, \tau_h, \tau_k) $.

    -

    However, if $ \tau_c \ll \tau_h $ and $ \tau_c \ll \tau_k $, we can use the tight-coupling regime for photons and write equations in such way that the time scale $ \tau_c $ becomes irrelevant (no effective mass term in $ 1/\tau_c $). Then, the smallest scale in the equations is only $ \min(\tau_h, \tau_k) $. In practise, it is sufficient to use only the condition $ \tau_c \ll \tau_h $.

    -

    Also, if $ \rho_{matter} \gg \rho_{radiation} $ and $ k \gg aH $, we can switch off radiation perturbations (i.e. switch on the free-streaming approximation) and then the smallest scale is simply $ \tau_h $.

    -
    Parameters
    - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    kInput: wavenumber
    tauInput: conformal time
    ppwInput/Output: in output contains the approximation to be used at this time
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • compute Fourier mode time scale = $ \tau_k = 1/k $
      • -
    • evaluate background quantities with background_at_tau() and Hubble time scale $ \tau_h = a/a' $
      • -
    • for scalar modes:
      • -
    • –> (a) evaluate thermodynamical quantities with thermodynamics_at_z()
      • -
    • —> (b.1.) if $ \kappa'=0 $, recombination is finished; tight-coupling approximation must be off
      • -
    • —> (b.2.) if $ \kappa' \neq 0 $, recombination is not finished: check tight-coupling approximation
      • -
    • -—> (b.2.a) compute recombination time scale for photons, $ \tau_{\gamma} = 1/ \kappa' $
      • -
    • -—> (b.2.b) check whether tight-coupling approximation should be on
      • -
    • –> (c) free-streaming approximations
      • -
    • for tensor modes:
      • -
    • –> (a) evaluate thermodynamical quantities with thermodynamics_at_z()
      • -
    • —> (b.1.) if $ \kappa'=0 $, recombination is finished; tight-coupling approximation must be off
      • -
    • —> (b.2.) if $ \kappa' \neq 0 $, recombination is not finished: check tight-coupling approximation
      • -
    • -—> (b.2.a) compute recombination time scale for photons, $ \tau_{\gamma} = 1/ \kappa' $
      • -
    • -—> (b.2.b) check whether tight-coupling approximation should be on
      • -
    - -
    -
    - -

    ◆ perturb_timescale()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_timescale (double tau,
    void * parameters_and_workspace,
    double * timescale,
    ErrorMsg error_message 
    )
    -
    -

    Compute typical timescale over which the perturbation equations vary. Some integrators (e.g. Runge-Kunta) benefit from calling this routine at each step in order to adapt the next step.

    -

    This is one of the few functions in the code which is passed to the generic_integrator() routine. Since generic_integrator() should work with functions passed from various modules, the format of the arguments is a bit special:

      -
    • fixed parameters and workspaces are passed through a generic pointer. generic_integrator() doesn't know the content of this pointer.
      • -
    • the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message passed in the list of arguments.
      • -
    -
    Parameters
    - - - - - -
    tauInput: conformal time
    parameters_and_workspaceInput: fixed parameters (e.g. indices), workspace, approximation used, etc.
    timescaleOutput: perturbation variation timescale (given the approximation used)
    error_messageOutput: error message
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • extract the fields of the parameter_and_workspace input structure
      • -
    • compute Fourier mode time scale = $ \tau_k = 1/k $
      • -
    • evaluate background quantities with background_at_tau() and Hubble time scale $ \tau_h = a/a' $
      • -
    • for scalars modes:
      • -
    • –> compute recombination time scale for photons, $ \tau_{\gamma} = 1/ \kappa' $
      • -
    • for vector modes:
      • -
    • –> compute recombination time scale for photons, $ \tau_{\gamma} = 1/ \kappa' $
      • -
    • for tensor modes:
      • -
    • –> compute recombination time scale for photons, $ \tau_{\gamma} = 1/ \kappa' $
      • -
    - -
    -
    - -

    ◆ perturb_einstein()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_einstein (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    double k,
    double tau,
    double * y,
    struct perturb_workspace * ppw 
    )
    -
    -

    Compute metric perturbations (those not integrated over time) using Einstein equations

    -
    Parameters
    - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput: pointer to the perturbation structure
    index_mdInput: index of mode under consideration (scalar/.../tensor)
    kInput: wavenumber
    tauInput: conformal time
    yInput: vector of perturbations (those integrated over time) (already allocated)
    ppwInput/Output: in output contains the updated metric perturbations
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • define wavenumber and scale factor related quantities
      • -
    • sum up perturbations from all species
      • -
    • for scalar modes:
      • -
    • –> infer metric perturbations from Einstein equations
      • -
    • for vector modes
      • -
    • for tensor modes
      • -
    - -
    -
    - -

    ◆ perturb_total_stress_energy()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_total_stress_energy (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    int index_md,
    double k,
    double * y,
    struct perturb_workspace * ppw 
    )
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • wavenumber and scale factor related quantities
      • -
    • for scalar modes
      • -
    • –> (a) deal with approximation schemes
      • -
    • —> (a.1.) photons
      • -
    • -—> (a.1.1.) no approximation
      • -
    • -—> (a.1.2.) radiation streaming approximation
      • -
    • -—> (a.1.3.) tight coupling approximation
      • -
    • —> (a.2.) ur
      • -
    • –> (b) compute the total density, velocity and shear perturbations
      • -
    • for vector modes
      • -
    • –> photon contribution to vector sources:
      • -
    • –> baryons
      • -
    • for tensor modes
      • -
    • –> photon contribution to gravitational wave source:
      • -
    • –> ur contribution to gravitational wave source:
      • -
    • –> ncdm contribution to gravitational wave source:
      • -
    - -
    -
    - -

    ◆ perturb_sources()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_sources (double tau,
    double * y,
    double * dy,
    int index_tau,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    Compute the source functions (three terms for temperature, one for E or B modes, etc.)

    -

    This is one of the few functions in the code which is passed to the generic_integrator() routine. Since generic_integrator() should work with functions passed from various modules, the format of the arguments is a bit special:

    -
      -
    • fixed parameters and workspaces are passed through a generic pointer. generic_integrator() doesn't know the content of this pointer.
      • -
    • the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message passed in the list of arguments.
      • -
    -
    Parameters
    - - - - - - - -
    tauInput: conformal time
    yInput: vector of perturbations
    dyInput: vector of time derivative of perturbations
    index_tauInput: index in the array tau_sampling
    parameters_and_workspaceInput/Output: in input, all parameters needed by perturb_derivs, in output, source terms
    error_messageOutput: error message
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • rename structure fields (just to avoid heavy notations)
      • -
    • get background/thermo quantities in this point
      • -
    • for scalars
      • -
    • –> compute metric perturbations
      • -
    • –> compute quantities depending on approximation schemes
      • -
    • –> for each type, compute source terms
      • -
    • for tensors
      • -
    • –> compute quantities depending on approximation schemes
      • -
    - -
    -
    - -

    ◆ perturb_print_variables()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_print_variables (double tau,
    double * y,
    double * dy,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    When testing the code or a cosmological model, it can be useful to output perturbations at each step of integration (and not just the delta's at each source sampling point, which is achieved simply by asking for matter transfer functions). Then this function can be passed to the generic_evolver routine.

    -

    By default, instead of passing this function to generic_evolver, one passes a null pointer. Then this function is just not used.

    -
    Parameters
    - - - - - - -
    tauInput: conformal time
    yInput: vector of perturbations
    dyInput: vector of its derivatives (already allocated)
    parameters_and_workspaceInput: fixed parameters (e.g. indices)
    error_messageOutput: error message
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • ncdm sector begins
      • -
    • ncdm sector ends
      • -
    • rename structure fields (just to avoid heavy notations)
      • -
    • update background/thermo quantities in this point
      • -
    • update metric perturbations in this point
      • -
    • calculate perturbed recombination
      • -
    • for scalar modes
      • -
    • –> Get delta, deltaP/rho, theta, shear and store in array
      • -
    • –> Do gauge transformation of delta, deltaP/rho (?) and theta using -= 3aH(1+w_ncdm) alpha for delta.
      • -
    • –> Handle (re-)allocation
      • -
    • for tensor modes:
      • -
    • –> Handle (re-)allocation
      • -
    - -
    -
    - -

    ◆ perturb_derivs()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_derivs (double tau,
    double * y,
    double * dy,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    Compute derivative of all perturbations to be integrated

    -

    For each mode (scalar/vector/tensor) and each wavenumber k, this function computes the derivative of all values in the vector of perturbed variables to be integrated.

    -

    This is one of the few functions in the code which is passed to the generic_integrator() routine. Since generic_integrator() should work with functions passed from various modules, the format of the arguments is a bit special:

      -
    • fixed parameters and workspaces are passed through a generic pointer. generic_integrator() doesn't know what the content of this pointer is.
      • -
    • errors are not written as usual in pth->error_message, but in a generic error_message passed in the list of arguments.
      • -
    -
    Parameters
    - - - - - - -
    tauInput: conformal time
    yInput: vector of perturbations
    dyOutput: vector of its derivatives (already allocated)
    parameters_and_workspaceInput/Output: in input, fixed parameters (e.g. indices); in output, background and thermo quantities evaluated at tau.
    error_messageOutput: error message
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • rename the fields of the input structure (just to avoid heavy notations)
      • -
    • get background/thermo quantities in this point
      • -
    • get metric perturbations with perturb_einstein()
      • -
    • compute related background quantities
      • -
    • Compute 'generalised cotK function of argument $ \sqrt{|K|}*\tau $, for closing hierarchy. (see equation 2.34 in arXiv:1305.3261):
      • -
    • for scalar modes:
      • -
    • –> (a) define short-cut notations for the scalar perturbations
      • -
    • –> (b) perturbed recombination
      • -
    • –> (c) compute metric-related quantities (depending on gauge; additional gauges can be coded below)
        -
      • Each continuity equation contains a term in (theta+metric_continuity) with metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge
        • -
      • Each Euler equation contains a source term metric_euler with metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge
        • -
      • Each shear derivative equation contains a source term metric_shear equal to metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge
        • -
      • metric_shear_prime is the derivative of metric_shear
        • -
      • In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime)
        • -
      -
      • -
    • –> (d) if some approximation schemes are turned on, enforce a few y[] values computed in perturb_einstein
      • -
    • –> (e) BEGINNING OF ACTUAL SYSTEM OF EQUATIONS OF EVOLUTION
      • -
    • —> photon temperature density
      • -
    • —> baryon density
      • -
    • —> baryon velocity (depends on tight-coupling approximation=tca)
      • -
    • -—> perturbed recombination has an impact
      • -
    • —> photon temperature higher momenta and photon polarization (depend on tight-coupling approximation)
      • -
    • -—> if photon tight-coupling is off
      • -
    • –—> define $ \Pi = G_{\gamma 0} + G_{\gamma 2} + F_{\gamma 2} $
      • -
    • –—> photon temperature velocity
      • -
    • –—> photon temperature shear
      • -
    • –—> photon temperature l=3
      • -
    • –—> photon temperature l>3
      • -
    • –—> photon temperature lmax
      • -
    • –—> photon polarization l=0
      • -
    • –—> photon polarization l=1
      • -
    • –—> photon polarization l=2
      • -
    • –—> photon polarization l>2
      • -
    • –—> photon polarization lmax_pol
      • -
    • -—> if photon tight-coupling is on:
      • -
    • –—> in that case, only need photon velocity
      • -
    • —> cdm
      • -
    • -—> newtonian gauge: cdm density and velocity
      • -
    • -—> synchronous gauge: cdm density only (velocity set to zero by definition of the gauge)
      • -
    • —> dcdm and dr
      • -
    • -—> dcdm
      • -
    • —> dr
      • -
    • -—> dr F0
      • -
    • -—> dr F1
      • -
    • -—> exact dr F2
      • -
    • -—> exact dr l=3
      • -
    • -—> exact dr l>3
      • -
    • -—> exact dr lmax_dr
      • -
    • —> fluid (fld)
      • -
    • -—> factors w, w_prime, adiabatic sound speed ca2 (all three background-related), plus actual sound speed in the fluid rest frame cs2
      • -
    • -—> fluid density
      • -
    • -—> fluid velocity
      • -
    • —> scalar field (scf)
      • -
    • -—> field value
      • -
    • -—> Klein Gordon equation
      • -
    • —> ultra-relativistic neutrino/relics (ur)
      • -
    • -—> if radiation streaming approximation is off
      • -
    • –—> ur density
      • -
    • –—> ur velocity
      • -
    • –—> exact ur shear
      • -
    • –—> exact ur l=3
      • -
    • –—> exact ur l>3
      • -
    • –—> exact ur lmax_ur
      • -
    • –—> in fluid approximation (ufa): only ur shear needed
      • -
    • —> non-cold dark matter (ncdm): massive neutrinos, WDM, etc.
      • -
    • -—> first case: use a fluid approximation (ncdmfa)
      • -
    • –—> loop over species
      • -
    • –—> define intermediate quantitites
      • -
    • –—> exact continuity equation
      • -
    • –—> exact euler equation
      • -
    • –—> different ansatz for approximate shear derivative
      • -
    • –—> jump to next species
      • -
    • -—> second case: use exact equation (Boltzmann hierarchy on momentum grid)
      • -
    • –—> loop over species
      • -
    • –—> loop over momentum
      • -
    • –—> define intermediate quantities
      • -
    • –—> ncdm density for given momentum bin
      • -
    • –—> ncdm velocity for given momentum bin
      • -
    • –—> ncdm shear for given momentum bin
      • -
    • –—> ncdm l>3 for given momentum bin
      • -
    • –—> ncdm lmax for given momentum bin (truncation as in Ma and Bertschinger) but with curvature taken into account a la arXiv:1305.3261
      • -
    • –—> jump to next momentum bin or species
      • -
    • —> metric
      • -
    • —> eta of synchronous gauge
      • -
    • vector mode
      • -
    • –> baryon velocity
      • -
    • tensor modes:
      • -
    • –> non-cold dark matter (ncdm): massive neutrinos, WDM, etc.
      • -
    • —> loop over species
      • -
    • -—> loop over momentum
      • -
    • -—> define intermediate quantities
      • -
    • -—> ncdm density for given momentum bin
      • -
    • -—> ncdm l>0 for given momentum bin
      • -
    • -—> ncdm lmax for given momentum bin (truncation as in Ma and Bertschinger) but with curvature taken into account a la arXiv:1305.3261
      • -
    • -—> jump to next momentum bin or species
      • -
    • –> tensor metric perturbation h (gravitational waves)
      • -
    • –> its time-derivative
      • -
    - -
    -
    - -

    ◆ perturb_tca_slip_and_shear()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int perturb_tca_slip_and_shear (double * y,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • rename the fields of the input structure (just to avoid heavy notations)
      • -
    • compute related background quantities
      • -
    • –> (a) define short-cut notations for the scalar perturbations
      • -
    • –> (b) define short-cut notations used only in tight-coupling approximation
      • -
    • –> (c) compute metric-related quantities (depending on gauge; additional gauges can be coded below)
        -
      • Each continuity equation contains a term in (theta+metric_continuity) with metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge
        • -
      • Each Euler equation contains a source term metric_euler with metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge
        • -
      • Each shear derivative equation contains a source term metric_shear equal to metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge
        • -
      • metric_shear_prime is the derivative of metric_shear
        • -
      • In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime)
        • -
      -
      • -
    • –> (d) if some approximation schemes are turned on, enforce a few y[ ] values computed in perturb_einstein
      • -
    • —> like Ma & Bertschinger
      • -
    • —> relax assumption dkappa~a $^{-2}$ (like in CAMB)
      • -
    • —> also relax assumption cb2~a $^{-1}$
      • -
    • —> intermediate quantities for 2nd order tca: shear_g at first order in tight-coupling
      • -
    • —> intermediate quantities for 2nd order tca: zero order for theta_b' = theta_g'
      • -
    • -—> perturbed recombination has an impact
      • -
    • —> intermediate quantities for 2nd order tca: shear_g_prime at first order in tight-coupling
      • -
    • —> 2nd order as in CRS
      • -
    • —> 2nd order like in CLASS paper
      • -
    • —> add only the most important 2nd order terms
      • -
    • —> store tight-coupling values of photon shear and its derivative
      • -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/perturbations_8c.js b/doc/manual/html/perturbations_8c.js deleted file mode 100644 index b6c6c888..00000000 --- a/doc/manual/html/perturbations_8c.js +++ /dev/null @@ -1,26 +0,0 @@ -var perturbations_8c = -[ - [ "perturb_sources_at_tau", "perturbations_8c.html#a6ff67e40c37f87b0bb60e31384c8d2f3", null ], - [ "perturb_init", "perturbations_8c.html#a8c49cf2b10de95fbf09d8823bc37c512", null ], - [ "perturb_free", "perturbations_8c.html#a74076af3188daaaf4370ebe6d99467c7", null ], - [ "perturb_indices_of_perturbs", "perturbations_8c.html#a18919a91db85f3b160f5c37652df8ad2", null ], - [ "perturb_timesampling_for_sources", "perturbations_8c.html#a137c582541759d0b3b1e19c2cce403af", null ], - [ "perturb_get_k_list", "perturbations_8c.html#a0576a9234f137786c71ed0d39bd41a6a", null ], - [ "perturb_workspace_init", "perturbations_8c.html#a0133b10254da8e7e291758beeb2dbd1a", null ], - [ "perturb_workspace_free", "perturbations_8c.html#a22780c266a622dbfd79041206ebfcd2b", null ], - [ "perturb_solve", "perturbations_8c.html#afb08128eaf97711c39a1c6b03de9d0c1", null ], - [ "perturb_prepare_output", "perturbations_8c.html#a6030d94fa0132ba4aec2d0c1c8e0c8cc", null ], - [ "perturb_find_approximation_number", "perturbations_8c.html#ae952f39862d329abce842e5ff0ccef1a", null ], - [ "perturb_find_approximation_switches", "perturbations_8c.html#a32513f12869ecf15659266787513a9d6", null ], - [ "perturb_vector_init", "perturbations_8c.html#af24f3c293aed6612641ff4f6bac63994", null ], - [ "perturb_vector_free", "perturbations_8c.html#a640847cb9e0000f9556404ac7d0a49e8", null ], - [ "perturb_initial_conditions", "perturbations_8c.html#a32fef60bdb0627ff3982d1d8185aa566", null ], - [ "perturb_approximations", "perturbations_8c.html#adc944c8e172833c9c18557e1508b828a", null ], - [ "perturb_timescale", "perturbations_8c.html#ac25f59a7fd0f4f7eb58c5c2c4620eac6", null ], - [ "perturb_einstein", "perturbations_8c.html#ac3d9fb29d84566ab67c69ee8d28a30c4", null ], - [ "perturb_total_stress_energy", "perturbations_8c.html#a11f17fb88c32d9cadae8b74efac77b01", null ], - [ "perturb_sources", "perturbations_8c.html#a846b00583c952e1d772d40e42bd38628", null ], - [ "perturb_print_variables", "perturbations_8c.html#a7102d2605e166f2f2eaf5518aeab79fc", null ], - [ "perturb_derivs", "perturbations_8c.html#aa6f273487c3cc276a4db995051e850c1", null ], - [ "perturb_tca_slip_and_shear", "perturbations_8c.html#a2767b1841cc9aab30957347853d8db6d", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c__incl.map b/doc/manual/html/perturbations_8c__incl.map deleted file mode 100644 index 81773e1e..00000000 --- a/doc/manual/html/perturbations_8c__incl.map +++ /dev/null @@ -1,14 +0,0 @@ - - - - - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c__incl.md5 b/doc/manual/html/perturbations_8c__incl.md5 deleted file mode 100644 index f59ee84e..00000000 --- a/doc/manual/html/perturbations_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -81b5e30b8f534026dea58dac9b3b275f \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c__incl.png b/doc/manual/html/perturbations_8c__incl.png deleted file mode 100644 index 9939fc65..00000000 Binary files a/doc/manual/html/perturbations_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.map b/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.map deleted file mode 100644 index 4d9c7577..00000000 --- a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.md5 b/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.md5 deleted file mode 100644 index 313ef650..00000000 --- a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -923803466117859b48c5a48fdc05e3a5 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.png b/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.png deleted file mode 100644 index eb0a94f4..00000000 Binary files a/doc/manual/html/perturbations_8c_a0133b10254da8e7e291758beeb2dbd1a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.map b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.map deleted file mode 100644 index 2c84c91f..00000000 --- a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.md5 b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.md5 deleted file mode 100644 index ce2d61cc..00000000 --- a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4eca35ab68f5144d28bd4ee671e06757 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.png b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.png deleted file mode 100644 index 84f5ba0b..00000000 Binary files a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.map b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.map deleted file mode 100644 index 3865ad80..00000000 --- a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.md5 b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.md5 deleted file mode 100644 index adc698dc..00000000 --- a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d6f3bd7b1b6720e72a87ed2df8af4973 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.png b/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.png deleted file mode 100644 index b7defeef..00000000 Binary files a/doc/manual/html/perturbations_8c_a0576a9234f137786c71ed0d39bd41a6a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.map b/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.map deleted file mode 100644 index 87107378..00000000 --- a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.md5 b/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.md5 deleted file mode 100644 index ab1c6c6c..00000000 --- a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b437778f1b2bf6b626ed9770fb13830d \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.png b/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.png deleted file mode 100644 index 3edcceb7..00000000 Binary files a/doc/manual/html/perturbations_8c_a11f17fb88c32d9cadae8b74efac77b01_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.map b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.map deleted file mode 100644 index d9219c2c..00000000 --- a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.md5 b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.md5 deleted file mode 100644 index f7e7015b..00000000 --- a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -24f6007d5a340d3822695ddb09bab500 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.png b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.png deleted file mode 100644 index 1d7f4a04..00000000 Binary files a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.map b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.map deleted file mode 100644 index 5a02b130..00000000 --- a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.md5 b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.md5 deleted file mode 100644 index d84ea1df..00000000 --- a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -714186016280732fb3e0eb49d65373ac \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.png b/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.png deleted file mode 100644 index 11e71460..00000000 Binary files a/doc/manual/html/perturbations_8c_a137c582541759d0b3b1e19c2cce403af_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.map b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.map deleted file mode 100644 index e1b039b4..00000000 --- a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.md5 b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.md5 deleted file mode 100644 index bbb2b60f..00000000 --- a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f9578c0eaad3bb0df62a8ac684feb084 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.png b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.png deleted file mode 100644 index 352193b6..00000000 Binary files a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.map b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.map deleted file mode 100644 index ff9d94a3..00000000 --- a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.md5 b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.md5 deleted file mode 100644 index bf247cf2..00000000 --- a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cd40f9ec9348667a02943ef9886fad0d \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.png b/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.png deleted file mode 100644 index 956bac36..00000000 Binary files a/doc/manual/html/perturbations_8c_a18919a91db85f3b160f5c37652df8ad2_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.map b/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.map deleted file mode 100644 index e15d696f..00000000 --- a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.md5 b/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.md5 deleted file mode 100644 index 8112a3d3..00000000 --- a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -07d199f866d3dba5d74e51ba721340aa \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.png b/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.png deleted file mode 100644 index dddb54b4..00000000 Binary files a/doc/manual/html/perturbations_8c_a22780c266a622dbfd79041206ebfcd2b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.map b/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.map deleted file mode 100644 index b5c32ff9..00000000 --- a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.md5 b/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.md5 deleted file mode 100644 index 5f28a1d1..00000000 --- a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f76f17d67e0aa5a3151fac80cd1f9a54 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.png b/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.png deleted file mode 100644 index 418e376c..00000000 Binary files a/doc/manual/html/perturbations_8c_a2767b1841cc9aab30957347853d8db6d_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.map b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.map deleted file mode 100644 index c77c1a91..00000000 --- a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.md5 b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.md5 deleted file mode 100644 index 9d3dd7fb..00000000 --- a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f116e93b6fe23931f946b739952d5c69 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.png b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.png deleted file mode 100644 index b2015375..00000000 Binary files a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.map b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.map deleted file mode 100644 index 9874615a..00000000 --- a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.md5 b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.md5 deleted file mode 100644 index b51268e3..00000000 --- a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -505c6254960655aadc80e054a3c30b65 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.png b/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.png deleted file mode 100644 index 353fbff8..00000000 Binary files a/doc/manual/html/perturbations_8c_a32513f12869ecf15659266787513a9d6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.map b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.map deleted file mode 100644 index 227f4e8d..00000000 --- a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.md5 b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.md5 deleted file mode 100644 index d648d9e4..00000000 --- a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a7eb6e22b2032fc61b58e04b5157d99b \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.png b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.png deleted file mode 100644 index bdc18035..00000000 Binary files a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.map b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.map deleted file mode 100644 index 6e0bbd0d..00000000 --- a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.md5 b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.md5 deleted file mode 100644 index 8053357f..00000000 --- a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3ce5f9527860c8de9fbfe04eb11335c5 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.png b/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.png deleted file mode 100644 index 8c8db87d..00000000 Binary files a/doc/manual/html/perturbations_8c_a32fef60bdb0627ff3982d1d8185aa566_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.map b/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.map deleted file mode 100644 index 8d6ca1d2..00000000 --- a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.md5 b/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.md5 deleted file mode 100644 index 671e98bc..00000000 --- a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -aa10e663ca24df45161d039d1bf85b16 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.png b/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.png deleted file mode 100644 index c95f7c05..00000000 Binary files a/doc/manual/html/perturbations_8c_a6030d94fa0132ba4aec2d0c1c8e0c8cc_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.map b/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.map deleted file mode 100644 index 0e9db142..00000000 --- a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.md5 b/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.md5 deleted file mode 100644 index c9707faf..00000000 --- a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a9f982f196526b58a18b45e074152146 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.png b/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.png deleted file mode 100644 index 0cc5c71d..00000000 Binary files a/doc/manual/html/perturbations_8c_a640847cb9e0000f9556404ac7d0a49e8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.map b/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.map deleted file mode 100644 index 83654cca..00000000 --- a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.md5 b/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.md5 deleted file mode 100644 index ce3f7950..00000000 --- a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6b50f8ffbba70aaab0928dc1fcd1af1a \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.png b/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.png deleted file mode 100644 index 340f1d75..00000000 Binary files a/doc/manual/html/perturbations_8c_a7102d2605e166f2f2eaf5518aeab79fc_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.map b/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.map deleted file mode 100644 index 24996d6a..00000000 --- a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.md5 b/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.md5 deleted file mode 100644 index e487d385..00000000 --- a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -40b48ade3132b9f10d951442a375ce59 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.png b/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.png deleted file mode 100644 index 2e642c9b..00000000 Binary files a/doc/manual/html/perturbations_8c_a74076af3188daaaf4370ebe6d99467c7_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.map b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.map deleted file mode 100644 index e81e4d52..00000000 --- a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.md5 b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.md5 deleted file mode 100644 index ffa401ce..00000000 --- a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f2710322743179ee148c95d8ab521a78 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.png b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.png deleted file mode 100644 index d71e280b..00000000 Binary files a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.map b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.map deleted file mode 100644 index a1315114..00000000 --- a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.md5 b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.md5 deleted file mode 100644 index 6beb43ea..00000000 --- a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -45417ed37d90e4dba488026b66725ca0 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.png b/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.png deleted file mode 100644 index efdfef81..00000000 Binary files a/doc/manual/html/perturbations_8c_a846b00583c952e1d772d40e42bd38628_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.map b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.map deleted file mode 100644 index 58095faa..00000000 --- a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.map +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.md5 b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.md5 deleted file mode 100644 index 9fa9e1cb..00000000 --- a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -52af7a1b890f71d4a103fd2ee21799e5 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.png b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.png deleted file mode 100644 index 060340db..00000000 Binary files a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.map b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.map deleted file mode 100644 index 5c8006b9..00000000 --- a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.md5 b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.md5 deleted file mode 100644 index ceb098e8..00000000 --- a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -14a43ddf1827e04f38b3cbf62dbeb4fb \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.png b/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.png deleted file mode 100644 index a99d327c..00000000 Binary files a/doc/manual/html/perturbations_8c_a8c49cf2b10de95fbf09d8823bc37c512_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.map b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.map deleted file mode 100644 index 6b3b674c..00000000 --- a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.md5 b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.md5 deleted file mode 100644 index 44071ad9..00000000 --- a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b42fafae61f01df6acca8acd284872f8 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.png b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.png deleted file mode 100644 index a5fca03c..00000000 Binary files a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.map b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.map deleted file mode 100644 index 908d9bb4..00000000 --- a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.md5 b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.md5 deleted file mode 100644 index 6f52b795..00000000 --- a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e6d95387b3a312b72651ad26c1cebec9 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.png b/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.png deleted file mode 100644 index 7ba03b47..00000000 Binary files a/doc/manual/html/perturbations_8c_aa6f273487c3cc276a4db995051e850c1_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.map b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.map deleted file mode 100644 index d4637822..00000000 --- a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.md5 b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.md5 deleted file mode 100644 index cb753343..00000000 --- a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -0252c767bb6e6f3b7c639e0b412e4de0 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.png b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.png deleted file mode 100644 index 10decae1..00000000 Binary files a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.map b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.map deleted file mode 100644 index b1216702..00000000 --- a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.md5 b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.md5 deleted file mode 100644 index 8d890858..00000000 --- a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -51e4b3364bc3d20764697f3871199de9 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.png b/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.png deleted file mode 100644 index 5fd9d9a2..00000000 Binary files a/doc/manual/html/perturbations_8c_ac25f59a7fd0f4f7eb58c5c2c4620eac6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.map b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.map deleted file mode 100644 index 4fed3691..00000000 --- a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.md5 b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.md5 deleted file mode 100644 index 9011a1cb..00000000 --- a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -8fb50a1727d27ecba57a294a6e1e4003 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.png b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.png deleted file mode 100644 index c8fc4760..00000000 Binary files a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.map b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.map deleted file mode 100644 index b099249b..00000000 --- a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.md5 b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.md5 deleted file mode 100644 index 82742b04..00000000 --- a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e7a15a1ccbd0708fae79f3104a2afe85 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.png b/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.png deleted file mode 100644 index d6809974..00000000 Binary files a/doc/manual/html/perturbations_8c_ac3d9fb29d84566ab67c69ee8d28a30c4_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.map b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.map deleted file mode 100644 index d95a052d..00000000 --- a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.md5 b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.md5 deleted file mode 100644 index 7255f1c6..00000000 --- a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -9f5b2fac3a34e65de0e4655da1136846 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.png b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.png deleted file mode 100644 index 493a4a16..00000000 Binary files a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.map b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.map deleted file mode 100644 index 14da4143..00000000 --- a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.md5 b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.md5 deleted file mode 100644 index 390d2ec7..00000000 --- a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5858e49295120ca4304008ea6e0ded97 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.png b/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.png deleted file mode 100644 index 7f28cc55..00000000 Binary files a/doc/manual/html/perturbations_8c_adc944c8e172833c9c18557e1508b828a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.map b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.map deleted file mode 100644 index 84e87d94..00000000 --- a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.md5 b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.md5 deleted file mode 100644 index e64905b7..00000000 --- a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a0fd33d0d35cbdd950ecf1e7cd857824 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.png b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.png deleted file mode 100644 index 22972e10..00000000 Binary files a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.map b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.map deleted file mode 100644 index 76470a17..00000000 --- a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.md5 b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.md5 deleted file mode 100644 index 6e9a695b..00000000 --- a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -faad8cca9d8adb70da998aa5d40e0830 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.png b/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.png deleted file mode 100644 index e8b6e57d..00000000 Binary files a/doc/manual/html/perturbations_8c_ae952f39862d329abce842e5ff0ccef1a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.map b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.map deleted file mode 100644 index fd3ed99e..00000000 --- a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.md5 b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.md5 deleted file mode 100644 index dcca489a..00000000 --- a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5e7e5941c534efca32364b79dfc73e14 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.png b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.png deleted file mode 100644 index 130eedee..00000000 Binary files a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.map b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.map deleted file mode 100644 index 4f4ad321..00000000 --- a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.md5 b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.md5 deleted file mode 100644 index 31be9e6e..00000000 --- a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a6c278a3c0da26d7cbe8c6d67c5db05a \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.png b/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.png deleted file mode 100644 index e8a7513f..00000000 Binary files a/doc/manual/html/perturbations_8c_af24f3c293aed6612641ff4f6bac63994_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.map b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.map deleted file mode 100644 index a3d6dd9e..00000000 --- a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.map +++ /dev/null @@ -1,17 +0,0 @@ - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.md5 b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.md5 deleted file mode 100644 index 2bc11b99..00000000 --- a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -c035bbc483522fb09eb39648b02a2899 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.png b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.png deleted file mode 100644 index f0954501..00000000 Binary files a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_cgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.map b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.map deleted file mode 100644 index 8d50d7aa..00000000 --- a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.md5 b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.md5 deleted file mode 100644 index dbb58632..00000000 --- a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -aff5fc418dd091fe079e2d493f4b9f91 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.png b/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.png deleted file mode 100644 index 7df67c8c..00000000 Binary files a/doc/manual/html/perturbations_8c_afb08128eaf97711c39a1c6b03de9d0c1_icgraph.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8h.html b/doc/manual/html/perturbations_8h.html deleted file mode 100644 index 8efdbca8..00000000 --- a/doc/manual/html/perturbations_8h.html +++ /dev/null @@ -1,2224 +0,0 @@ - - - - - - - -CLASS MANUAL: perturbations.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures
    -
    -
    perturbations.h File Reference
    -
    -
    -
    #include "thermodynamics.h"
    -#include "evolver_ndf15.h"
    -#include "evolver_rkck.h"
    -
    - + Include dependency graph for perturbations.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - - - - - - - -

    -Data Structures

    struct  perturbs
     
    struct  perturb_vector
     
    struct  perturb_workspace
     
    struct  perturb_parameters_and_workspace
     
    - - - - -

    -Macros

    #define _MAX_NUMBER_OF_K_FILES_   30
     
    - - - - - - - - - - - - -

    -Enumerations

    enum  tca_flags
     
    enum  tca_method
     
    enum  possible_gauges { newtonian, -synchronous - }
     
    #define _SELECTION_NUM_MAX_   100
     
    -

    Detailed Description

    -

    Documented includes for perturbation module

    -

    Data Structure Documentation

    - -

    ◆ perturbs

    - -
    -
    - - - - -
    struct perturbs
    -
    -

    Structure containing everything about perturbations that other modules need to know, in particular tabled values of the source functions $ S(k, \tau) $ for all requested modes (scalar/vector/tensor), initial conditions, types (temperature, E-polarization, B-polarization, lensing potential, etc), multipole l and wavenumber k.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -short -has_perturbations -

    do we need to compute perturbations at all ?

    -
    -short -has_cls -

    do we need any harmonic space spectrum $ C_l $ (and hence Bessel functions, transfer functions, ...)?

    -
    -short -has_scalars -

    do we need scalars?

    -
    -short -has_vectors -

    do we need vectors?

    -
    -short -has_tensors -

    do we need tensors?

    -
    -short -has_ad -

    do we need adiabatic mode?

    -
    -short -has_bi -

    do we need isocurvature bi mode?

    -
    -short -has_cdi -

    do we need isocurvature cdi mode?

    -
    -short -has_nid -

    do we need isocurvature nid mode?

    -
    -short -has_niv -

    do we need isocurvature niv mode?

    -
    -short -has_perturbed_recombination -

    Do we want to consider perturbed temperature and ionization fraction?

    -
    -enum tensor_methods -tensor_method -

    Neutrino contribution to tensors way to treat neutrinos in tensor perturbations(neglect, approximate as massless, take exact equations)

    -
    -short -evolve_tensor_ur -

    will we evolve ur tensor perturbations (either because we have ur species, or we have ncdm species with massless approximation) ?

    -
    -short -evolve_tensor_ncdm -

    will we evolve ncdm tensor perturbations (if we have ncdm species and we use the exact method) ?

    -
    -short -has_cl_cmb_temperature -

    do we need $ C_l $'s for CMB temperature?

    -
    -short -has_cl_cmb_polarization -

    do we need $ C_l $'s for CMB polarization?

    -
    -short -has_cl_cmb_lensing_potential -

    do we need $ C_l $'s for CMB lensing potential?

    -
    -short -has_cl_lensing_potential -

    do we need $ C_l $'s for galaxy lensing potential?

    -
    -short -has_cl_number_count -

    do we need $ C_l $'s for density number count?

    -
    -short -has_pk_matter -

    do we need matter Fourier spectrum?

    -
    -short -has_density_transfers -

    do we need to output individual matter density transfer functions?

    -
    -short -has_velocity_transfers -

    do we need to output individual matter velocity transfer functions?

    -
    -short -has_metricpotential_transfers -

    do we need to output individual transfer functions for scalar metric perturbations?

    -
    -short -has_nl_corrections_based_on_delta_m -

    do we want to compute non-linear corrections with an algorithm relying on delta_m (like halofit)?

    -
    -short -has_nc_density -

    in dCl, do we want density terms ?

    -
    -short -has_nc_rsd -

    in dCl, do we want redshift space distortion terms ?

    -
    -short -has_nc_lens -

    in dCl, do we want lensing terms ?

    -
    -short -has_nc_gr -

    in dCl, do we want gravity terms ?

    -
    -int -l_scalar_max -

    maximum l value for CMB scalars $ C_l $'s

    -
    -int -l_vector_max -

    maximum l value for CMB vectors $ C_l $'s

    -
    -int -l_tensor_max -

    maximum l value for CMB tensors $ C_l $'s

    -
    -int -l_lss_max -

    maximum l value for LSS $ C_l $'s (density and lensing potential in bins)

    -
    -double -k_max_for_pk -

    maximum value of k in 1/Mpc in P(k) (if $ C_l $'s also requested, overseeded by value kmax inferred from l_scalar_max if it is bigger)

    -
    -int -selection_num -

    number of selection functions (i.e. bins) for matter density $ C_l $'s

    -
    -enum selection_type -selection -

    type of selection functions

    -
    -double -selection_mean[_SELECTION_NUM_MAX_] -

    centers of selection functions

    -
    -double -selection_width[_SELECTION_NUM_MAX_] -

    widths of selection functions

    -
    -int -switch_sw -

    in temperature calculation, do we want to include the intrinsic temperature + Sachs Wolfe term?

    -
    -int -switch_eisw -

    in temperature calculation, do we want to include the early integrated Sachs Wolfe term?

    -
    -int -switch_lisw -

    in temperature calculation, do we want to include the late integrated Sachs Wolfe term?

    -
    -int -switch_dop -

    in temperature calculation, do we want to include the Doppler term?

    -
    -int -switch_pol -

    in temperature calculation, do we want to include the polarization-related term?

    -
    -double -eisw_lisw_split_z -

    at which redshift do we define the cut between eisw and lisw ?

    -
    -int -store_perturbations -

    Do we want to store perturbations?

    -
    -int -k_output_values_num -

    Number of perturbation outputs (default=0)

    -
    -double -k_output_values[_MAX_NUMBER_OF_K_FILES_] -

    List of k values where perturbation output is requested.

    -
    -int * -index_k_output_values -

    List of indices corresponding to k-values close to k_output_values for each mode. [index_md*k_output_values_num+ik]

    -
    -char -scalar_titles[_MAXTITLESTRINGLENGTH_] -

    DELIMITER separated string of titles for scalar perturbation output files.

    -
    -char -vector_titles[_MAXTITLESTRINGLENGTH_] -

    DELIMITER separated string of titles for vector perturbation output files.

    -
    -char -tensor_titles[_MAXTITLESTRINGLENGTH_] -

    DELIMITER separated string of titles for tensor perturbation output files.

    -
    -int -number_of_scalar_titles -

    number of titles/columns in scalar perturbation output files

    -
    -int -number_of_vector_titles -

    number of titles/columns in vector perturbation output files

    -
    -int -number_of_tensor_titles -

    number of titles/columns in tensor perturbation output files

    -
    -double * -scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of double pointers to perturbation output for scalars

    -
    -double * -vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of double pointers to perturbation output for vectors

    -
    -double * -tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of double pointers to perturbation output for tensors

    -
    -int -size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of sizes of scalar double pointers

    -
    -int -size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of sizes of vector double pointers

    -
    -int -size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_] -

    Array of sizes of tensor double pointers

    -
    -double -three_ceff2_ur -

    3 x effective squared sound speed for the ultrarelativistic perturbations

    -
    -double -three_cvis2_ur -

    3 x effective viscosity parameter for the ultrarelativistic perturbations

    -
    -double -z_max_pk -

    when we compute only the matter spectrum / transfer functions, but not the CMB, we are sometimes interested to sample source functions at very high redshift, way before recombination. This z_max_pk will then fix the initial sampling time of the sources.

    -
    -short -has_cmb -

    do we need CMB-related sources (temperature, polarization) ?

    -
    -short -has_lss -

    do we need LSS-related sources (lensing potential, ...) ?

    -
    -enum possible_gauges -gauge -

    gauge in which to perform this calculation

    -
    -int -index_md_scalars -

    index value for scalars

    -
    -int -index_md_tensors -

    index value for tensors

    -
    -int -index_md_vectors -

    index value for vectors

    -
    -int -md_size -

    number of modes included in computation

    -
    -int -index_ic_ad -

    index value for adiabatic

    -
    -int -index_ic_cdi -

    index value for CDM isocurvature

    -
    -int -index_ic_bi -

    index value for baryon isocurvature

    -
    -int -index_ic_nid -

    index value for neutrino density isocurvature

    -
    -int -index_ic_niv -

    index value for neutrino velocity isocurvature

    -
    -int -index_ic_ten -

    index value for unique possibility for tensors

    -
    -int * -ic_size -

    for a given mode, ic_size[index_md] = number of initial conditions included in computation

    -
    -short -has_source_t -

    do we need source for CMB temperature?

    -
    -short -has_source_p -

    do we need source for CMB polarization?

    -
    -short -has_source_delta_m -

    do we need source for delta of total matter?

    -
    -short -has_source_delta_cb -

    do we ALSO need source for delta of ONLY cdm and baryon?

    -
    -short -has_source_delta_g -

    do we need source for delta of gammas?

    -
    -short -has_source_delta_b -

    do we need source for delta of baryons?

    -
    -short -has_source_delta_cdm -

    do we need source for delta of cold dark matter?

    -
    -short -has_source_delta_dcdm -

    do we need source for delta of DCDM?

    -
    -short -has_source_delta_fld -

    do we need source for delta of dark energy?

    -
    -short -has_source_delta_scf -

    do we need source for delta from scalar field?

    -
    -short -has_source_delta_dr -

    do we need source for delta of decay radiation?

    -
    -short -has_source_delta_ur -

    do we need source for delta of ultra-relativistic neutrinos/relics?

    -
    -short -has_source_delta_ncdm -

    do we need source for delta of all non-cold dark matter species (e.g. massive neutrinos)?

    -
    -short -has_source_theta_m -

    do we need source for theta of total matter?

    -
    -short -has_source_theta_cb -

    do we ALSO need source for theta of ONLY cdm and baryon?

    -
    -short -has_source_theta_g -

    do we need source for theta of gammas?

    -
    -short -has_source_theta_b -

    do we need source for theta of baryons?

    -
    -short -has_source_theta_cdm -

    do we need source for theta of cold dark matter?

    -
    -short -has_source_theta_dcdm -

    do we need source for theta of DCDM?

    -
    -short -has_source_theta_fld -

    do we need source for theta of dark energy?

    -
    -short -has_source_theta_scf -

    do we need source for theta of scalar field?

    -
    -short -has_source_theta_dr -

    do we need source for theta of ultra-relativistic neutrinos/relics?

    -
    -short -has_source_theta_ur -

    do we need source for theta of ultra-relativistic neutrinos/relics?

    -
    -short -has_source_theta_ncdm -

    do we need source for theta of all non-cold dark matter species (e.g. massive neutrinos)?

    -
    -short -has_source_phi -

    do we need source for metric fluctuation phi?

    -
    -short -has_source_phi_prime -

    do we need source for metric fluctuation phi'?

    -
    -short -has_source_phi_plus_psi -

    do we need source for metric fluctuation (phi+psi)?

    -
    -short -has_source_psi -

    do we need source for metric fluctuation psi?

    -
    -short -has_source_h -

    do we need source for metric fluctuation h?

    -
    -short -has_source_h_prime -

    do we need source for metric fluctuation h'?

    -
    -short -has_source_eta -

    do we need source for metric fluctuation eta?

    -
    -short -has_source_eta_prime -

    do we need source for metric fluctuation eta'?

    -
    -int -index_tp_t0 -

    index value for temperature (j=0 term)

    -
    -int -index_tp_t1 -

    index value for temperature (j=1 term)

    -
    -int -index_tp_t2 -

    index value for temperature (j=2 term)

    -
    -int -index_tp_p -

    index value for polarization

    -
    -int -index_tp_delta_m -

    index value for delta tot

    -
    -int -index_tp_delta_cb -

    index value for delta cb

    -
    -int -index_tp_delta_g -

    index value for delta of gammas

    -
    -int -index_tp_delta_b -

    index value for delta of baryons

    -
    -int -index_tp_delta_cdm -

    index value for delta of cold dark matter

    -
    -int -index_tp_delta_dcdm -

    index value for delta of DCDM

    -
    -int -index_tp_delta_fld -

    index value for delta of dark energy

    -
    -int -index_tp_delta_scf -

    index value for delta of scalar field

    -
    -int -index_tp_delta_dr -

    index value for delta of decay radiation

    -
    -int -index_tp_delta_ur -

    index value for delta of ultra-relativistic neutrinos/relics

    -
    -int -index_tp_delta_ncdm1 -

    index value for delta of first non-cold dark matter species (e.g. massive neutrinos)

    -
    -int -index_tp_perturbed_recombination_delta_temp -

    Gas temperature perturbation

    -
    -int -index_tp_perturbed_recombination_delta_chi -

    Inionization fraction perturbation

    -
    -int -index_tp_theta_m -

    index value for theta tot

    -
    -int -index_tp_theta_cb -

    index value for theta cb

    -
    -int -index_tp_theta_g -

    index value for theta of gammas

    -
    -int -index_tp_theta_b -

    index value for theta of baryons

    -
    -int -index_tp_theta_cdm -

    index value for theta of cold dark matter

    -
    -int -index_tp_theta_dcdm -

    index value for theta of DCDM

    -
    -int -index_tp_theta_fld -

    index value for theta of dark energy

    -
    -int -index_tp_theta_scf -

    index value for theta of scalar field

    -
    -int -index_tp_theta_ur -

    index value for theta of ultra-relativistic neutrinos/relics

    -
    -int -index_tp_theta_dr -

    index value for F1 of decay radiation

    -
    -int -index_tp_theta_ncdm1 -

    index value for theta of first non-cold dark matter species (e.g. massive neutrinos)

    -
    -int -index_tp_phi -

    index value for metric fluctuation phi

    -
    -int -index_tp_phi_prime -

    index value for metric fluctuation phi'

    -
    -int -index_tp_phi_plus_psi -

    index value for metric fluctuation phi+psi

    -
    -int -index_tp_psi -

    index value for metric fluctuation psi

    -
    -int -index_tp_h -

    index value for metric fluctuation h

    -
    -int -index_tp_h_prime -

    index value for metric fluctuation h'

    -
    -int -index_tp_eta -

    index value for metric fluctuation eta

    -
    -int -index_tp_eta_prime -

    index value for metric fluctuation eta'

    -
    -int * -tp_size -

    number of types tp_size[index_md] included in computation for each mode

    -
    -int * -k_size_cmb -

    k_size_cmb[index_md] number of k values used for CMB calculations, requiring a fine sampling in k-space

    -
    -int * -k_size_cl -

    k_size_cl[index_md] number of k values used for non-CMB $ C_l $ calculations, requiring a coarse sampling in k-space.

    -
    -int * -k_size -

    k_size[index_md] = total number of k values, including those needed for P(k) but not for $ C_l $'s

    -
    -double ** -k -

    k[index_md][index_k] = list of values

    -
    -double -k_min -

    minimum value (over all modes)

    -
    -double -k_max -

    maximum value (over all modes)

    -
    -int -tau_size -

    tau_size = number of values

    -
    -double * -tau_sampling -

    tau_sampling[index_tau] = list of tau values

    -
    -double -selection_min_of_tau_min -

    used in presence of selection functions (for matter density, cosmic shear...)

    -
    -double -selection_max_of_tau_max -

    used in presence of selection functions (for matter density, cosmic shear...)

    -
    -double -selection_delta_tau -

    used in presence of selection functions (for matter density, cosmic shear...)

    -
    -double * -selection_tau_min -

    value of conformal time below which W(tau) is considered to vanish for each bin

    -
    -double * -selection_tau_max -

    value of conformal time above which W(tau) is considered to vanish for each bin

    -
    -double * -selection_tau -

    value of conformal time at the center of each bin

    -
    -double * -selection_function -

    selection function W(tau), normalized to $ \int W(tau) dtau=1 $, stored in selection_function[bin*ppt->tau_size+index_tau]

    -
    -double *** -sources -

    Pointer towards the source interpolation table sources[index_md] [index_ic * ppt->tp_size[index_md] + index_type] [index_tau * ppt->k_size + index_k]

    -
    -short -perturbations_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    - -

    ◆ perturb_vector

    - -
    -
    - - - - -
    struct perturb_vector
    -
    -

    Structure containing the indices and the values of the perturbation variables which are integrated over time (as well as their time-derivatives). For a given wavenumber, the size of these vectors changes when the approximation scheme changes.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -int -index_pt_delta_g -

    photon density

    -
    -int -index_pt_theta_g -

    photon velocity

    -
    -int -index_pt_shear_g -

    photon shear

    -
    -int -index_pt_l3_g -

    photon l=3

    -
    -int -l_max_g -

    max momentum in Boltzmann hierarchy (at least 3)

    -
    -int -index_pt_pol0_g -

    photon polarization, l=0

    -
    -int -index_pt_pol1_g -

    photon polarization, l=1

    -
    -int -index_pt_pol2_g -

    photon polarization, l=2

    -
    -int -index_pt_pol3_g -

    photon polarization, l=3

    -
    -int -l_max_pol_g -

    max momentum in Boltzmann hierarchy (at least 3)

    -
    -int -index_pt_delta_b -

    baryon density

    -
    -int -index_pt_theta_b -

    baryon velocity

    -
    -int -index_pt_delta_cdm -

    cdm density

    -
    -int -index_pt_theta_cdm -

    cdm velocity

    -
    -int -index_pt_delta_dcdm -

    dcdm density

    -
    -int -index_pt_theta_dcdm -

    dcdm velocity

    -
    -int -index_pt_delta_fld -

    dark energy density in true fluid case

    -
    -int -index_pt_theta_fld -

    dark energy velocity in true fluid case

    -
    -int -index_pt_Gamma_fld -

    unique dark energy dynamical variable in PPF case

    -
    -int -index_pt_phi_scf -

    scalar field density

    -
    -int -index_pt_phi_prime_scf -

    scalar field velocity

    -
    -int -index_pt_delta_ur -

    density of ultra-relativistic neutrinos/relics

    -
    -int -index_pt_theta_ur -

    velocity of ultra-relativistic neutrinos/relics

    -
    -int -index_pt_shear_ur -

    shear of ultra-relativistic neutrinos/relics

    -
    -int -index_pt_l3_ur -

    l=3 of ultra-relativistic neutrinos/relics

    -
    -int -l_max_ur -

    max momentum in Boltzmann hierarchy (at least 3)

    -
    -int -index_pt_perturbed_recombination_delta_temp -

    Gas temperature perturbation

    -
    -int -index_pt_perturbed_recombination_delta_chi -

    Inionization fraction perturbation

    -
    -int -index_pt_F0_dr -

    The index to the first Legendre multipole of the DR expansion. Not that this is not exactly the usual delta, see Kaplinghat et al., astro-ph/9907388.

    -
    -int -l_max_dr -

    max momentum in Boltzmann hierarchy for dr)

    -
    -int -index_pt_psi0_ncdm1 -

    first multipole of perturbation of first ncdm species, Psi_0

    -
    -int -N_ncdm -

    number of distinct non-cold-dark-matter (ncdm) species

    -
    -int * -l_max_ncdm -

    mutipole l at which Boltzmann hierarchy is truncated (for each ncdm species)

    -
    -int * -q_size_ncdm -

    number of discrete momenta (for each ncdm species)

    -
    -int -index_pt_eta -

    synchronous gauge metric perturbation eta

    -
    -int -index_pt_phi -

    newtonian gauge metric perturbation phi

    -
    -int -index_pt_hv_prime -

    vector metric perturbation h_v' in synchronous gauge

    -
    -int -index_pt_V -

    vector metric perturbation V in Newtonian gauge

    -
    -int -index_pt_gw -

    tensor metric perturbation h (gravitational waves)

    -
    -int -index_pt_gwdot -

    its time-derivative

    -
    -int -pt_size -

    size of perturbation vector

    -
    -double * -y -

    vector of perturbations to be integrated

    -
    -double * -dy -

    time-derivative of the same vector

    -
    -int * -used_in_sources -

    boolean array specifying which perturbations enter in the calculation of source functions

    -
    - -
    -
    - -

    ◆ perturb_workspace

    - -
    -
    - - - - -
    struct perturb_workspace
    -
    -

    Workspace containing, among other things, the value at a given time of all background/perturbed quantities, as well as their indices. There will be one such structure created for each mode (scalar/.../tensor) and each thread (in case of parallel computing)

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -int -index_mt_psi -

    psi in longitudinal gauge

    -
    -int -index_mt_phi_prime -

    (d phi/d conf.time) in longitudinal gauge

    -
    -int -index_mt_h_prime -

    h' (wrt conf. time) in synchronous gauge

    -
    -int -index_mt_h_prime_prime -

    h'' (wrt conf. time) in synchronous gauge

    -
    -int -index_mt_eta_prime -

    eta' (wrt conf. time) in synchronous gauge

    -
    -int -index_mt_alpha -

    $ \alpha = (h' + 6 \eta') / (2 k^2) $ in synchronous gauge

    -
    -int -index_mt_alpha_prime -

    $ \alpha'$ wrt conf. time) in synchronous gauge

    -
    -int -index_mt_gw_prime_prime -

    second derivative wrt conformal time of gravitational wave field, often called h

    -
    -int -index_mt_V_prime -

    derivative of Newtonian gauge vector metric perturbation V

    -
    -int -index_mt_hv_prime_prime -

    Second derivative of Synchronous gauge vector metric perturbation $ h_v$

    -
    -int -mt_size -

    size of metric perturbation vector

    -
    -double * -pvecback -

    background quantities

    -
    -double * -pvecthermo -

    thermodynamics quantities

    -
    -double * -pvecmetric -

    metric quantities

    -
    -struct perturb_vector * -pv -

    pointer to vector of integrated perturbations and their time-derivatives

    -
    -double -delta_rho -

    total density perturbation (gives delta Too)

    -
    -double -rho_plus_p_theta -

    total (rho+p)*theta perturbation (gives delta Toi)

    -
    -double -rho_plus_p_shear -

    total (rho+p)*shear (gives delta Tij)

    -
    -double -delta_p -

    total pressure perturbation (gives Tii)

    -
    -double -gw_source -

    stress-energy source term in Einstein's tensor equations (gives Tij[tensor])

    -
    -double -vector_source_pi -

    first stress-energy source term in Einstein's vector equations

    -
    -double -vector_source_v -

    second stress-energy source term in Einstein's vector equations

    -
    -double -tca_shear_g -

    photon shear in tight-coupling approximation

    -
    -double -tca_slip -

    photon-baryon slip in tight-coupling approximation

    -
    -double -rsa_delta_g -

    photon density in radiation streaming approximation

    -
    -double -rsa_theta_g -

    photon velocity in radiation streaming approximation

    -
    -double -rsa_delta_ur -

    photon density in radiation streaming approximation

    -
    -double -rsa_theta_ur -

    photon velocity in radiation streaming approximation

    -
    -double * -delta_ncdm -

    relative density perturbation of each ncdm species

    -
    -double * -theta_ncdm -

    velocity divergence theta of each ncdm species

    -
    -double * -shear_ncdm -

    shear for each ncdm species

    -
    -double -delta_m -

    relative density perturbation of all non-relativistic species

    -
    -double -theta_m -

    velocity divergence theta of all non-relativistic species

    -
    -double -delta_cb -

    relative density perturbation of only cdm and baryon

    -
    -double -theta_cb -

    velocity divergence theta of only cdm and baryon

    -
    -double -delta_rho_fld -

    density perturbation of fluid, not so trivial in PPF scheme

    -
    -double -rho_plus_p_theta_fld -

    velocity divergence of fluid, not so trivial in PPF scheme

    -
    -double -S_fld -

    S quantity sourcing Gamma_prime evolution in PPF scheme (equivalent to eq. 15 in 0808.3125)

    -
    -double -Gamma_prime_fld -

    Gamma_prime in PPF scheme (equivalent to eq. 14 in 0808.3125)

    -
    -FILE * -perturb_output_file -

    filepointer to output file

    -
    -int -index_ikout -

    index for output k value (when k_output_values is set)

    -
    -short -inter_mode -

    flag defining the method used for interpolation background/thermo quantities tables

    -
    -int -last_index_back -

    the background interpolation function background_at_tau() keeps memory of the last point called through this index

    -
    -int -last_index_thermo -

    the thermodynamics interpolation function thermodynamics_at_z() keeps memory of the last point called through this index

    -
    -int -index_ap_tca -

    index for tight-coupling approximation

    -
    -int -index_ap_rsa -

    index for radiation streaming approximation

    -
    -int -index_ap_ufa -

    index for ur fluid approximation

    -
    -int -index_ap_ncdmfa -

    index for ncdm fluid approximation

    -
    -int -ap_size -

    number of relevant approximations for a given mode

    -
    -int * -approx -

    array of approximation flags holding at a given time: approx[index_ap]

    -
    -int -max_l_max -

    maximum l_max for any multipole

    -
    -double * -s_l -

    array of freestreaming coefficients $ s_l = \sqrt{1-K*(l^2-1)/k^2} $

    -
    - -
    -
    - -

    ◆ perturb_parameters_and_workspace

    - -
    -
    - - - - -
    struct perturb_parameters_and_workspace
    -
    -

    Structure pointing towards all what the function that perturb_derivs needs to know: fixed input parameters and indices contained in the various structures, workspace, etc.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -struct precision * -ppr -

    pointer to the precision structure

    -
    -struct background * -pba -

    pointer to the background structure

    -
    -struct thermo * -pth -

    pointer to the thermodynamics structure

    -
    -struct perturbs * -ppt -

    pointer to the precision structure

    -
    -int -index_md -

    index of mode (scalar/.../vector/tensor)

    -
    -int -index_ic -

    index of initial condition (adiabatic/isocurvature(s)/...)

    -
    -int -index_k -

    index of wavenumber

    -
    -double -k -

    current value of wavenumber in 1/Mpc

    -
    -struct perturb_workspace * -ppw -

    workspace defined above

    -
    - -
    -
    -

    Macro Definition Documentation

    - -

    ◆ _SELECTION_NUM_MAX_

    - -
    -
    - - - - -
    #define _SELECTION_NUM_MAX_   100
    -
    -

    maximum number and types of selection function (for bins of matter density or cosmic shear)

    - -
    -
    - -

    ◆ _MAX_NUMBER_OF_K_FILES_

    - -
    -
    - - - - -
    #define _MAX_NUMBER_OF_K_FILES_   30
    -
    -

    maximum number of k-values for perturbation output

    - -
    -
    -

    Enumeration Type Documentation

    - -

    ◆ tca_flags

    - -
    -
    - - - - -
    enum tca_flags
    -
    -

    flags for various approximation schemes (tca = tight-coupling approximation, rsa = radiation streaming approximation, ufa = massless neutrinos / ultra-relativistic relics fluid approximation)

    -

    CAUTION: must be listed below in chronological order, and cannot be reversible. When integrating equations for a given mode, it is only possible to switch from left to right in the lists below.

    - -
    -
    - -

    ◆ tca_method

    - -
    -
    - - - - -
    enum tca_method
    -
    -

    labels for the way in which each approximation scheme is implemented

    - -
    -
    - -

    ◆ possible_gauges

    - -
    -
    - - - - -
    enum possible_gauges
    -
    -

    List of coded gauges. More gauges can in principle be defined.

    - - - -
    Enumerator
    newtonian 

    newtonian (or longitudinal) gauge

    -
    synchronous 

    synchronous gauge with $ \theta_{cdm} = 0 $ by convention

    -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/perturbations_8h.js b/doc/manual/html/perturbations_8h.js deleted file mode 100644 index 71ee2b56..00000000 --- a/doc/manual/html/perturbations_8h.js +++ /dev/null @@ -1,287 +0,0 @@ -var perturbations_8h = -[ - [ "perturbs", "perturbations_8h.html#structperturbs", [ - [ "has_perturbations", "perturbations_8h.html#a76a9f8c71d5a0b77fb5b9a4fad4c2ff0", null ], - [ "has_cls", "perturbations_8h.html#a4b6be6c87262b8b7ee49b5addb252c75", null ], - [ "has_scalars", "perturbations_8h.html#ad29f0bad04ea77581fe3b0ce7ac1443e", null ], - [ "has_vectors", "perturbations_8h.html#ad0fe110b40dede9e160b80414ab8f036", null ], - [ "has_tensors", "perturbations_8h.html#a7a82f6ff4026b7ffae9ba1b982824d0a", null ], - [ "has_ad", "perturbations_8h.html#ae148066fea5dcba2bdc1b967983c1655", null ], - [ "has_bi", "perturbations_8h.html#a7e303e23b8b2d1585838a3c7c7dcfced", null ], - [ "has_cdi", "perturbations_8h.html#a0ec625da77600b644aebf1aa88aacb82", null ], - [ "has_nid", "perturbations_8h.html#a607fe60ba4626c17d5b916e58c309929", null ], - [ "has_niv", "perturbations_8h.html#a745628908c03bfc4e2be3a5ef5e8415f", null ], - [ "has_perturbed_recombination", "perturbations_8h.html#a128215104a97772266e2a91e6df1a20d", null ], - [ "tensor_method", "perturbations_8h.html#a712b8a16ff3e93dd7a864863798117f1", null ], - [ "evolve_tensor_ur", "perturbations_8h.html#a08587660d0693d074671e86df628e4f2", null ], - [ "evolve_tensor_ncdm", "perturbations_8h.html#adcaa3d85397351a0151065346f00b3d6", null ], - [ "has_cl_cmb_temperature", "perturbations_8h.html#a3ea461ead5cd72fa0bb140c8cff2a288", null ], - [ "has_cl_cmb_polarization", "perturbations_8h.html#a3f75b0cf00fd2e7ca1998c21b3b1a90a", null ], - [ "has_cl_cmb_lensing_potential", "perturbations_8h.html#ac7a36a1715ef65246af629c337a4805d", null ], - [ "has_cl_lensing_potential", "perturbations_8h.html#a9ff9cda3bda5ddfdd50625a9278f489f", null ], - [ "has_cl_number_count", "perturbations_8h.html#a9e92b8cbf2e35f695728171a99dbcc25", null ], - [ "has_pk_matter", "perturbations_8h.html#aa1ab742c10712d5bd5e3bf8e9c038f35", null ], - [ "has_density_transfers", "perturbations_8h.html#a66bf493f8b2c0ba1a325b0515c8016f1", null ], - [ "has_velocity_transfers", "perturbations_8h.html#ad5bbee359d1ac8e84472727dfb292ca8", null ], - [ "has_metricpotential_transfers", "perturbations_8h.html#ad5176409e6b4a40f2bd6e0941778b433", null ], - [ "has_nl_corrections_based_on_delta_m", "perturbations_8h.html#a9d4ef4638ee4a3b4b8b9ecc1c6ffea34", null ], - [ "has_nc_density", "perturbations_8h.html#a8f31b55e477131b930ec0ab420f07ae8", null ], - [ "has_nc_rsd", "perturbations_8h.html#a1a4321650e9b7ca6188aee55641442d3", null ], - [ "has_nc_lens", "perturbations_8h.html#a0dac978b624796b77ef2524fb5684219", null ], - [ "has_nc_gr", "perturbations_8h.html#a884ac3cb3b6f0df6526dfbb12aedcc68", null ], - [ "l_scalar_max", "perturbations_8h.html#ad19bfcf5857798364cb337aab0c2fb49", null ], - [ "l_vector_max", "perturbations_8h.html#adf0c33089ac34f54a868c9b4e518c64f", null ], - [ "l_tensor_max", "perturbations_8h.html#af1e8d93c8aaa9afee5da056bcb76f306", null ], - [ "l_lss_max", "perturbations_8h.html#ad95d62365638e07da1067ec11509a267", null ], - [ "k_max_for_pk", "perturbations_8h.html#a7285baae346f8cd9bf3c09b2d2cd0f68", null ], - [ "selection_num", "perturbations_8h.html#a08050531f58de31cac59e09124086850", null ], - [ "selection", "perturbations_8h.html#a00e91b6006fe4ea67077912d33de963f", null ], - [ "selection_mean", "perturbations_8h.html#a15266631124718cca6821507137c3561", null ], - [ "selection_width", "perturbations_8h.html#aef03a65543c73fb8f799634102d2282a", null ], - [ "switch_sw", "perturbations_8h.html#a199e4dbbc87155594fe3b83763a218c4", null ], - [ "switch_eisw", "perturbations_8h.html#a1dc92b0ea1e1697136d425ea7b89c497", null ], - [ "switch_lisw", "perturbations_8h.html#aab57ee8522cd9a166488c2fccf0e755f", null ], - [ "switch_dop", "perturbations_8h.html#abe694a40defa5339ae8c8383f6964266", null ], - [ "switch_pol", "perturbations_8h.html#a3ac5aa07b40b40cae1f7251ad97b00e3", null ], - [ "eisw_lisw_split_z", "perturbations_8h.html#aff6edf3e9eb24778b98c0ff9d71b3430", null ], - [ "store_perturbations", "perturbations_8h.html#a1483a03e8c2e932e15b52faf1511242b", null ], - [ "k_output_values_num", "perturbations_8h.html#ade6a029d5354ed2f317951009edc55e0", null ], - [ "k_output_values", "perturbations_8h.html#a88b5ec9a18e294c2e9e1b0c4b9846d46", null ], - [ "index_k_output_values", "perturbations_8h.html#ae00f9b481983465f4d9c648e1ad03d11", null ], - [ "scalar_titles", "perturbations_8h.html#adbd051adf5743feaa54044ccf86704fc", null ], - [ "vector_titles", "perturbations_8h.html#ad346c561d3a5cab6954d377addd4eca6", null ], - [ "tensor_titles", "perturbations_8h.html#acc83561789c24022fcfc2ea6e88bd71c", null ], - [ "number_of_scalar_titles", "perturbations_8h.html#a6fbc7c6b0ac2d6174553e8f3ab1cec20", null ], - [ "number_of_vector_titles", "perturbations_8h.html#a160f6bde2eebbe55f15790b995a4902d", null ], - [ "number_of_tensor_titles", "perturbations_8h.html#a90eb42b47485bf70870f9917f54cd68f", null ], - [ "scalar_perturbations_data", "perturbations_8h.html#a1a2bfc4df2d4d591556c4dcb7a605ee7", null ], - [ "vector_perturbations_data", "perturbations_8h.html#ad347127b5921dbbbbeb8c3170f54683b", null ], - [ "tensor_perturbations_data", "perturbations_8h.html#a5c9a43967b969b1ad0e33cc0252c0172", null ], - [ "size_scalar_perturbation_data", "perturbations_8h.html#ad60d11a36d328dedd1b02871e6b8f2d1", null ], - [ "size_vector_perturbation_data", "perturbations_8h.html#a117d7e63ef4287a8bf785057fc81c6f8", null ], - [ "size_tensor_perturbation_data", "perturbations_8h.html#acac6423c3019d7802de6587088cfc7d5", null ], - [ "three_ceff2_ur", "perturbations_8h.html#ae90af9982f704a6721ae666a704a6a27", null ], - [ "three_cvis2_ur", "perturbations_8h.html#a79d2eb891a76814cb315beb27ddf3ed7", null ], - [ "z_max_pk", "perturbations_8h.html#a2d72e5b17cdc85ac301e50c3835d1311", null ], - [ "has_cmb", "perturbations_8h.html#a65e30cbbedca0bcdd633e028481a9a8d", null ], - [ "has_lss", "perturbations_8h.html#a793d6ea21df1d0c1ac395b7cb0ccb286", null ], - [ "gauge", "perturbations_8h.html#a8393f374d4a6623e0a7d3316d2320093", null ], - [ "index_md_scalars", "perturbations_8h.html#a32c10dde8e52db3d69cec5474c23ae9c", null ], - [ "index_md_tensors", "perturbations_8h.html#affb2ab5653ec3a5c1bd4f18829034f62", null ], - [ "index_md_vectors", "perturbations_8h.html#acfb714cadd0c7353ee1f574c6b978f60", null ], - [ "md_size", "perturbations_8h.html#a0b02540b63842769707585822981dabd", null ], - [ "index_ic_ad", "perturbations_8h.html#a17d9ef49c94d978612bfe815218d4f44", null ], - [ "index_ic_cdi", "perturbations_8h.html#a5736784d0ec9639c02085acea8fb748c", null ], - [ "index_ic_bi", "perturbations_8h.html#a8623cf4d1ce03a7239582caab0d21a37", null ], - [ "index_ic_nid", "perturbations_8h.html#a6a16192fc67d2118a2d2481c6ac4bda5", null ], - [ "index_ic_niv", "perturbations_8h.html#a9d40d85d9fd65bd8d949467ea8a37f43", null ], - [ "index_ic_ten", "perturbations_8h.html#a400534882269fef5a058590d43bdb594", null ], - [ "ic_size", "perturbations_8h.html#a9f1f66e82459aec9e7cbba63e2f80dca", null ], - [ "has_source_t", "perturbations_8h.html#ab5ef146b01c6b2757d1c49f6c05d466a", null ], - [ "has_source_p", "perturbations_8h.html#a7b65eee1d2324cc54ba5b41b3aa92f9b", null ], - [ "has_source_delta_m", "perturbations_8h.html#a9d3e2eefcdeba35cb04b8ddeefc93138", null ], - [ "has_source_delta_cb", "perturbations_8h.html#a7a99fbd4d9c4e33b71c2c6a771429edf", null ], - [ "has_source_delta_g", "perturbations_8h.html#a22574f78bf9e6ef7fecea7163ce014fd", null ], - [ "has_source_delta_b", "perturbations_8h.html#a41c758549328599f8d76f751b0c03ba5", null ], - [ "has_source_delta_cdm", "perturbations_8h.html#a0e98b3d1c062f672173c4fead449b1d2", null ], - [ "has_source_delta_dcdm", "perturbations_8h.html#a7c73cc67a9335713544b8204a626dfbf", null ], - [ "has_source_delta_fld", "perturbations_8h.html#af240e3b045dcef6d9daffae34299f022", null ], - [ "has_source_delta_scf", "perturbations_8h.html#a133c59b3c501eae1b39618dc7858fadb", null ], - [ "has_source_delta_dr", "perturbations_8h.html#a57a2335d0cf53db60ace61d6ea463b91", null ], - [ "has_source_delta_ur", "perturbations_8h.html#a37ad2e728883cded1fd1049b85280ca0", null ], - [ "has_source_delta_ncdm", "perturbations_8h.html#a8b736b4d86cf75cd0e3e659fa366e471", null ], - [ "has_source_theta_m", "perturbations_8h.html#a0fb2447711f3ded5eab62d1a6cddc36a", null ], - [ "has_source_theta_cb", "perturbations_8h.html#a810e72671bb00eba25d16496f01d24c0", null ], - [ "has_source_theta_g", "perturbations_8h.html#a4fefb7e583efc7cb8be65dff695f52e0", null ], - [ "has_source_theta_b", "perturbations_8h.html#af3ea9a0f4b4c292d2ffd9dd341c3b780", null ], - [ "has_source_theta_cdm", "perturbations_8h.html#aab541b354516fcd9da0afcb26a9fed2f", null ], - [ "has_source_theta_dcdm", "perturbations_8h.html#adda35d646eba2eabc09a21861effb845", null ], - [ "has_source_theta_fld", "perturbations_8h.html#a7844fa1f1b92db322eae436fc0ff8c32", null ], - [ "has_source_theta_scf", "perturbations_8h.html#acfb91ecfbe6dafb7458fbd04d5a79df0", null ], - [ "has_source_theta_dr", "perturbations_8h.html#ae2d6794a43a4934ac736d15047118231", null ], - [ "has_source_theta_ur", "perturbations_8h.html#a3723f0c782ffe5035d3bc7291468bfba", null ], - [ "has_source_theta_ncdm", "perturbations_8h.html#ad2fc382c6e6b9d6ac7b780affef29e95", null ], - [ "has_source_phi", "perturbations_8h.html#a686c1976504816fe3e84e3957acf0316", null ], - [ "has_source_phi_prime", "perturbations_8h.html#a036eb0ecd1038d981a9a87f70ac63b47", null ], - [ "has_source_phi_plus_psi", "perturbations_8h.html#a8308ff9d94f659b8a55af4c5a27d02ac", null ], - [ "has_source_psi", "perturbations_8h.html#a8796782640ad93da21f21a8d983a30f5", null ], - [ "has_source_h", "perturbations_8h.html#ae3887f5812704c606eb8d147088d628c", null ], - [ "has_source_h_prime", "perturbations_8h.html#ad4c8e3aee17aa66c1ec6575b8375a22b", null ], - [ "has_source_eta", "perturbations_8h.html#a3d7242ad3ae11205ae3c470f77291207", null ], - [ "has_source_eta_prime", "perturbations_8h.html#ae0e7f9472967ca42f7b950774bd57a5a", null ], - [ "index_tp_t0", "perturbations_8h.html#a8d6dc81e807a29b225351e78fe3b8fb8", null ], - [ "index_tp_t1", "perturbations_8h.html#a864700a9a436ac557480a50fd892bf09", null ], - [ "index_tp_t2", "perturbations_8h.html#ac3a019d980669a3707024d0bab0bbe08", null ], - [ "index_tp_p", "perturbations_8h.html#a43d325743be535b467e03ff4d9ea4c28", null ], - [ "index_tp_delta_m", "perturbations_8h.html#adbbf153660c784306f5fa3af92d17e33", null ], - [ "index_tp_delta_cb", "perturbations_8h.html#ad38f547552787d04ac4900ecaf4cea49", null ], - [ "index_tp_delta_g", "perturbations_8h.html#ac80f779218baec8dc92d98d4c5cf6972", null ], - [ "index_tp_delta_b", "perturbations_8h.html#a2e9886cc801817d3bac3756c9dff2956", null ], - [ "index_tp_delta_cdm", "perturbations_8h.html#a390364744a1825a6b09960cb30d222d4", null ], - [ "index_tp_delta_dcdm", "perturbations_8h.html#a58a017ada7b24e71360614a95ec12596", null ], - [ "index_tp_delta_fld", "perturbations_8h.html#a924d7a53f6216d0482936475b910c1f5", null ], - [ "index_tp_delta_scf", "perturbations_8h.html#a0f4addf27747d9cbc0e90ad1e0bb061c", null ], - [ "index_tp_delta_dr", "perturbations_8h.html#a8c907df1d7189d3bc93106fdf8422f61", null ], - [ "index_tp_delta_ur", "perturbations_8h.html#afd6370787dbee9f6919da39be926cc10", null ], - [ "index_tp_delta_ncdm1", "perturbations_8h.html#a96eaf8b998b28740a0ea476112be7d86", null ], - [ "index_tp_perturbed_recombination_delta_temp", "perturbations_8h.html#a715e0afeecf2fa221d2a8a650f12b1e5", null ], - [ "index_tp_perturbed_recombination_delta_chi", "perturbations_8h.html#a9636c896c5a6691587e3bd2ebd505974", null ], - [ "index_tp_theta_m", "perturbations_8h.html#a1dd3e727356402d4baf9f3abc20c86ea", null ], - [ "index_tp_theta_cb", "perturbations_8h.html#a4d2106453b72063fbaeef41597027253", null ], - [ "index_tp_theta_g", "perturbations_8h.html#a2615c76bb30b34641da17d74d52bf3b4", null ], - [ "index_tp_theta_b", "perturbations_8h.html#a00a3cdc4ff74fc45589f28b508c382a0", null ], - [ "index_tp_theta_cdm", "perturbations_8h.html#aef71b1e3db72baf6c73dcb469d70453a", null ], - [ "index_tp_theta_dcdm", "perturbations_8h.html#aa617e2c18e69ad242f06294ecbb06e07", null ], - [ "index_tp_theta_fld", "perturbations_8h.html#a4490babdc0c840cbd63f26f04bafa85a", null ], - [ "index_tp_theta_scf", "perturbations_8h.html#a68cb6482805e9a870d46f9db5056f8d3", null ], - [ "index_tp_theta_ur", "perturbations_8h.html#a4fc5cc46eb27ad74118486f352742829", null ], - [ "index_tp_theta_dr", "perturbations_8h.html#a14e96255c89bc37a4e7e28ef49abbad5", null ], - [ "index_tp_theta_ncdm1", "perturbations_8h.html#ae6d1d898b091264a89215ec5a5411a70", null ], - [ "index_tp_phi", "perturbations_8h.html#a71ea87a37f3b09e2d28aba67a5e66585", null ], - [ "index_tp_phi_prime", "perturbations_8h.html#a9a73df8c478505e6d75f997983cf0d4b", null ], - [ "index_tp_phi_plus_psi", "perturbations_8h.html#a82d9516eadb38b898d7e9730c6960347", null ], - [ "index_tp_psi", "perturbations_8h.html#ab3575e2b7daeb42dda99cd0e4e6c3a2f", null ], - [ "index_tp_h", "perturbations_8h.html#a5bc0966909b26088dc11c9c7ba6bee50", null ], - [ "index_tp_h_prime", "perturbations_8h.html#a4e5aa7c5efdfa9c3e0ba3ebb0f1a6cc8", null ], - [ "index_tp_eta", "perturbations_8h.html#a9a310b516dfff671a0360a1131aa73ee", null ], - [ "index_tp_eta_prime", "perturbations_8h.html#ae75a3948e5a454efebbbf71763e10ce4", null ], - [ "tp_size", "perturbations_8h.html#a576dd20e63a5f84ffd1309c6be97a364", null ], - [ "k_size_cmb", "perturbations_8h.html#a186e24b1748420d3d66d3fa9c15d1a54", null ], - [ "k_size_cl", "perturbations_8h.html#ab933faf685c21519d39707e39c2684c7", null ], - [ "k_size", "perturbations_8h.html#abdd65bae5df178b9882fd8089a934aca", null ], - [ "k", "perturbations_8h.html#a0fee08ef9309738309b6e2c654fd9b81", null ], - [ "k_min", "perturbations_8h.html#a2efabcc7ceb38767671e282da56e7331", null ], - [ "k_max", "perturbations_8h.html#aa6fbc9ffce88dd7b66a6e797df710a58", null ], - [ "tau_size", "perturbations_8h.html#a67c386309ed51644f43b4545c4e067bd", null ], - [ "tau_sampling", "perturbations_8h.html#a0b470ea24cec696c098942196d2ebaff", null ], - [ "selection_min_of_tau_min", "perturbations_8h.html#a78cf18bd2e4c80bbd6d99b56bcd1ea30", null ], - [ "selection_max_of_tau_max", "perturbations_8h.html#af787d16ae2f9fa435086b20cef8b9e55", null ], - [ "selection_delta_tau", "perturbations_8h.html#acaa07d9842764604a4ffe12f73ac995a", null ], - [ "selection_tau_min", "perturbations_8h.html#a6c18697e5b2e4dff3c9aaeeb1019d0b2", null ], - [ "selection_tau_max", "perturbations_8h.html#aff391c3d002d7541fe6555fc46b1dd9f", null ], - [ "selection_tau", "perturbations_8h.html#a2b1aa6f687bc7286a2bb5cb4ca52dbbc", null ], - [ "selection_function", "perturbations_8h.html#afac4535c3b63cb278f210e0b558adc1f", null ], - [ "sources", "perturbations_8h.html#acd16a64ce2ee46c45b7b4682ba3fc35d", null ], - [ "perturbations_verbose", "perturbations_8h.html#ab3cac22c75f2edc18a8b12c985c942f3", null ], - [ "error_message", "perturbations_8h.html#a16c8ca2b0bcad20402f8f805589f48bb", null ] - ] ], - [ "perturb_vector", "perturbations_8h.html#structperturb__vector", [ - [ "index_pt_delta_g", "perturbations_8h.html#a9fccbd67eed54ae6ba9d9b40cfa71bec", null ], - [ "index_pt_theta_g", "perturbations_8h.html#a21bdf09185252991804b7b0fbc33f9c1", null ], - [ "index_pt_shear_g", "perturbations_8h.html#ac6a6cbb08e570113979bf761f2bcd2aa", null ], - [ "index_pt_l3_g", "perturbations_8h.html#a1912c81c639e2bdbc2acae225218cfe1", null ], - [ "l_max_g", "perturbations_8h.html#ab38f5a833603c52dfbd1e221fc74fd6f", null ], - [ "index_pt_pol0_g", "perturbations_8h.html#a6c86cc5b9952ba3e57c1dd4718b5efb4", null ], - [ "index_pt_pol1_g", "perturbations_8h.html#ada9e2cf5f0295b39926a3951656aef37", null ], - [ "index_pt_pol2_g", "perturbations_8h.html#a373c2c3b94de9a8cc782a09cd412e770", null ], - [ "index_pt_pol3_g", "perturbations_8h.html#a15b4829ed1106821f597d88a7d11ae8f", null ], - [ "l_max_pol_g", "perturbations_8h.html#afbd657ef80ce568ac17ab39e0b784e98", null ], - [ "index_pt_delta_b", "perturbations_8h.html#a16fbcd88994a8cf9c7632ec1c9e4f553", null ], - [ "index_pt_theta_b", "perturbations_8h.html#a2dc4c948ae128a205c6b8cc30e9e35d0", null ], - [ "index_pt_delta_cdm", "perturbations_8h.html#a2d0672d9810af281bbd57dd8e0bc45e0", null ], - [ "index_pt_theta_cdm", "perturbations_8h.html#ae3f3ac985682910540fba1c28e31a646", null ], - [ "index_pt_delta_dcdm", "perturbations_8h.html#af76d96d0fff10c8d2d82db168fbb3178", null ], - [ "index_pt_theta_dcdm", "perturbations_8h.html#a0e5b783604c49ed75aef9f4236dcfbc4", null ], - [ "index_pt_delta_fld", "perturbations_8h.html#a2ba29ae12a6e302ce402414725e33789", null ], - [ "index_pt_theta_fld", "perturbations_8h.html#ac9a5e67be69b5f0e5e9b989955d83cc6", null ], - [ "index_pt_Gamma_fld", "perturbations_8h.html#a1c321640393390c1a9939892074a1a90", null ], - [ "index_pt_phi_scf", "perturbations_8h.html#a3ee8bc8b3b99653b7df06d7752fe946d", null ], - [ "index_pt_phi_prime_scf", "perturbations_8h.html#a3302f70bf8b89c982fa60399e7f54114", null ], - [ "index_pt_delta_ur", "perturbations_8h.html#a5a0627cf3b3a1c743cac4e3264444c3a", null ], - [ "index_pt_theta_ur", "perturbations_8h.html#a8f7caa6398b77370356e74a206c00ba7", null ], - [ "index_pt_shear_ur", "perturbations_8h.html#abad5caed26511fe4cc94451a96a1f616", null ], - [ "index_pt_l3_ur", "perturbations_8h.html#a4ab672f9859787035b3d215b71c79e20", null ], - [ "l_max_ur", "perturbations_8h.html#a649fe7e6f920b4e38e3493afb8c6be53", null ], - [ "index_pt_perturbed_recombination_delta_temp", "perturbations_8h.html#a04c1e6b465288d441563913845925aa5", null ], - [ "index_pt_perturbed_recombination_delta_chi", "perturbations_8h.html#ad4be8bbad446bb04f8db2a23b2dec459", null ], - [ "index_pt_F0_dr", "perturbations_8h.html#a74e3f73cec03550a244e58d6af7e450e", null ], - [ "l_max_dr", "perturbations_8h.html#a72b6b3130896f7fcdd829c7676223cb9", null ], - [ "index_pt_psi0_ncdm1", "perturbations_8h.html#aa3cfdd79a1b2f1c29d9f6cac9dede623", null ], - [ "N_ncdm", "perturbations_8h.html#a0870c2e067fb72bfcc200d67c7adaef4", null ], - [ "l_max_ncdm", "perturbations_8h.html#af24b3c2e1771277747b62680ec882bdd", null ], - [ "q_size_ncdm", "perturbations_8h.html#a58a4842cf68d427a5d374729a635f93e", null ], - [ "index_pt_eta", "perturbations_8h.html#a12b3bd7ce80d457b497946a1de670541", null ], - [ "index_pt_phi", "perturbations_8h.html#afede46f1464b28b09cb6ab93a7aab972", null ], - [ "index_pt_hv_prime", "perturbations_8h.html#a78ce21034b6fa10987efc528243fcc78", null ], - [ "index_pt_V", "perturbations_8h.html#a80aa943cbbbf4c8e11ac11aea02cf8e3", null ], - [ "index_pt_gw", "perturbations_8h.html#ab2097add2b90dc15c796f3e1d0fd3444", null ], - [ "index_pt_gwdot", "perturbations_8h.html#a449e8d1b51d78fb4fd2b742c015680ac", null ], - [ "pt_size", "perturbations_8h.html#a35fbda8bef49fdcc7cc303c576369e6d", null ], - [ "y", "perturbations_8h.html#af05dcb0f0d9c579ef53ef0d6c65f2709", null ], - [ "dy", "perturbations_8h.html#aa5479285a85767454622c410b11c6e78", null ], - [ "used_in_sources", "perturbations_8h.html#ac1adc34595e1056ccab21d3b9bf35703", null ] - ] ], - [ "perturb_workspace", "perturbations_8h.html#structperturb__workspace", [ - [ "index_mt_psi", "perturbations_8h.html#afd5c92d56c1124dc8840a0cf6cb39ee6", null ], - [ "index_mt_phi_prime", "perturbations_8h.html#a7bd0187d2d946e64bc133778b8084fec", null ], - [ "index_mt_h_prime", "perturbations_8h.html#a9225f59a88f96be135afa7ce4d755f87", null ], - [ "index_mt_h_prime_prime", "perturbations_8h.html#a3a7020dd7dc5fcdb878474a6cd2ea444", null ], - [ "index_mt_eta_prime", "perturbations_8h.html#a666f67b8d64977fbf65f038bd19f2d46", null ], - [ "index_mt_alpha", "perturbations_8h.html#aa103c49393b1dbb937e4a7b0f8d7cffa", null ], - [ "index_mt_alpha_prime", "perturbations_8h.html#aed8cdddd960da687b6792a55c205e9c0", null ], - [ "index_mt_gw_prime_prime", "perturbations_8h.html#a87310f6e5353ddaa5b49d46e0c736f9e", null ], - [ "index_mt_V_prime", "perturbations_8h.html#a92ca15273b436bda7a5da46e8418b7c3", null ], - [ "index_mt_hv_prime_prime", "perturbations_8h.html#a916ecd103081eb721650f1e8c663df3a", null ], - [ "mt_size", "perturbations_8h.html#adac9de5f30d729bfd93d63581605842f", null ], - [ "pvecback", "perturbations_8h.html#a048ea8307d1fdd3c9ee023ca4c6945ff", null ], - [ "pvecthermo", "perturbations_8h.html#afb6929391bdf3aa1206062c8e925f3e9", null ], - [ "pvecmetric", "perturbations_8h.html#aa7f41a5175674a0dc03fcd11bcc30ef5", null ], - [ "pv", "perturbations_8h.html#a130122fc65ddb422b2c46dca09ddab85", null ], - [ "delta_rho", "perturbations_8h.html#a313fc9485defc5c8c69ec3080eba1647", null ], - [ "rho_plus_p_theta", "perturbations_8h.html#a50e1b9cd712157932986c50aff9580ab", null ], - [ "rho_plus_p_shear", "perturbations_8h.html#a946fe20b37bcf2a2fc486653536c2a7c", null ], - [ "delta_p", "perturbations_8h.html#a17e85624d4131c4e4c99bd57f883c416", null ], - [ "gw_source", "perturbations_8h.html#ada07e385e7572811616e675d5b4ff7e3", null ], - [ "vector_source_pi", "perturbations_8h.html#a343d3b6cb243722f1b44ec356c9fba4f", null ], - [ "vector_source_v", "perturbations_8h.html#ac90a6f855cb1d321f5a0854cf7286b15", null ], - [ "tca_shear_g", "perturbations_8h.html#af4e5854dfbe360ddad1771faf9234634", null ], - [ "tca_slip", "perturbations_8h.html#a7c66a8c54bdc71f2834c86d6b411aadf", null ], - [ "rsa_delta_g", "perturbations_8h.html#a5eadd3c9e5003c0f74938558a27e5a6d", null ], - [ "rsa_theta_g", "perturbations_8h.html#a10c5f26e6edc53181ede1523452cb094", null ], - [ "rsa_delta_ur", "perturbations_8h.html#a76927bc85dc14425c845a47cdc629ebe", null ], - [ "rsa_theta_ur", "perturbations_8h.html#a97023d902661a7b160ad6ffa547825ae", null ], - [ "delta_ncdm", "perturbations_8h.html#a05a19b2b3597d8b717569b3d22969921", null ], - [ "theta_ncdm", "perturbations_8h.html#a972970d25d99cd326512512864d8dd71", null ], - [ "shear_ncdm", "perturbations_8h.html#a2eddf1e8180bec09e4dfdc9431f325c0", null ], - [ "delta_m", "perturbations_8h.html#ae531e6d411f7f9dc56e39d3d3cc09b4a", null ], - [ "theta_m", "perturbations_8h.html#aca8d43e66e75be956a00a410ccf2cf10", null ], - [ "delta_cb", "perturbations_8h.html#a897f5b42ffea7a51e4516dcf37af018f", null ], - [ "theta_cb", "perturbations_8h.html#a17e489d57102234b09ff12d15a4f8db8", null ], - [ "delta_rho_fld", "perturbations_8h.html#a1ff232ab9972a00e7d7a6555a273e3ff", null ], - [ "rho_plus_p_theta_fld", "perturbations_8h.html#a25bc2272bfc81d102eedaf2190c41a1f", null ], - [ "S_fld", "perturbations_8h.html#a0f7a31f3e3545c35d86d5c8df320960b", null ], - [ "Gamma_prime_fld", "perturbations_8h.html#a2a4ed53c8fbbb42d8b1e451584a7672c", null ], - [ "perturb_output_file", "perturbations_8h.html#af2087e01157ae877d2b6a0dac6bc1ff6", null ], - [ "index_ikout", "perturbations_8h.html#abb4235fd40baf5fb02e7128325102d93", null ], - [ "inter_mode", "perturbations_8h.html#aaba43ee6c3ca3b5166b6b822979c744d", null ], - [ "last_index_back", "perturbations_8h.html#a6ae91653132c6e0df1918de791dec37a", null ], - [ "last_index_thermo", "perturbations_8h.html#a73236fa830a3ded2ce3eea0ca235d18b", null ], - [ "index_ap_tca", "perturbations_8h.html#a280d268cf43e9d220d3998461b60db18", null ], - [ "index_ap_rsa", "perturbations_8h.html#a92d79a0a551fd1771a89970e4bee87e5", null ], - [ "index_ap_ufa", "perturbations_8h.html#a18dae1f9da2c3bf3d5922e4cf0687c2f", null ], - [ "index_ap_ncdmfa", "perturbations_8h.html#a78eb21d11cdb29b5c2015fdaa6da16d7", null ], - [ "ap_size", "perturbations_8h.html#a050a117be6aa873a44c029a6f5a484e2", null ], - [ "approx", "perturbations_8h.html#a8ac1b55117b14d0530bc6789f2815fc0", null ], - [ "max_l_max", "perturbations_8h.html#a96761f7981d819dc36e4c799c421b895", null ], - [ "s_l", "perturbations_8h.html#a129ee76252bf13414449dc5400e16785", null ] - ] ], - [ "perturb_parameters_and_workspace", "perturbations_8h.html#structperturb__parameters__and__workspace", [ - [ "ppr", "perturbations_8h.html#a17f71fba9b472adef213e8c6894ff540", null ], - [ "pba", "perturbations_8h.html#a9068d5228c160afb65facc4e0ce1f5b2", null ], - [ "pth", "perturbations_8h.html#a28aaaec1a2f39ad6008b462fb9175ee3", null ], - [ "ppt", "perturbations_8h.html#a8301ae9bd8f2866ae57d990f1609ee73", null ], - [ "index_md", "perturbations_8h.html#aef765aac8cfbd4220e429d1bd5751178", null ], - [ "index_ic", "perturbations_8h.html#a7178258a45506d84676c9a5b3aca789b", null ], - [ "index_k", "perturbations_8h.html#a187fd102451e69edf20e7c671f46fa9a", null ], - [ "k", "perturbations_8h.html#adbd1437efd805fdc19bbf2ea57ee8a24", null ], - [ "ppw", "perturbations_8h.html#ac42880afe983fe35c6dec9349b3fe0bb", null ] - ] ], - [ "_SELECTION_NUM_MAX_", "perturbations_8h.html#afb3227061c928d5a8882a7b8a933aba7", null ], - [ "_MAX_NUMBER_OF_K_FILES_", "perturbations_8h.html#a1baeb730684adab0a981f1e3528303c5", null ], - [ "tca_flags", "perturbations_8h.html#a77375d40cb1991478d464eb520df72a7", null ], - [ "tca_method", "perturbations_8h.html#a4203622ae5decc9a7ec5d6cbe6731e98", null ], - [ "possible_gauges", "perturbations_8h.html#a393651984401ac059c225aed80e4862c", [ - [ "newtonian", "perturbations_8h.html#a393651984401ac059c225aed80e4862ca6f069c11c49f62f29dcbdcf0f19188ac", null ], - [ "synchronous", "perturbations_8h.html#a393651984401ac059c225aed80e4862ca3c4f1195e4f20a93dc90b64f268687c1", null ] - ] ] -]; \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h__dep__incl.map b/doc/manual/html/perturbations_8h__dep__incl.map deleted file mode 100644 index 48548903..00000000 --- a/doc/manual/html/perturbations_8h__dep__incl.map +++ /dev/null @@ -1,23 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8h__dep__incl.md5 b/doc/manual/html/perturbations_8h__dep__incl.md5 deleted file mode 100644 index bca5fbcf..00000000 --- a/doc/manual/html/perturbations_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -24c5c57d4791abc393b856691ea17832 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h__dep__incl.png b/doc/manual/html/perturbations_8h__dep__incl.png deleted file mode 100644 index a526b539..00000000 Binary files a/doc/manual/html/perturbations_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8h__incl.map b/doc/manual/html/perturbations_8h__incl.map deleted file mode 100644 index 9a2bd720..00000000 --- a/doc/manual/html/perturbations_8h__incl.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/perturbations_8h__incl.md5 b/doc/manual/html/perturbations_8h__incl.md5 deleted file mode 100644 index a214f08b..00000000 --- a/doc/manual/html/perturbations_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -4a26b5aeccc055979f56e204da65fbc9 \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h__incl.png b/doc/manual/html/perturbations_8h__incl.png deleted file mode 100644 index 6ac5ca98..00000000 Binary files a/doc/manual/html/perturbations_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/perturbations_8h_source.html b/doc/manual/html/perturbations_8h_source.html deleted file mode 100644 index b494e819..00000000 --- a/doc/manual/html/perturbations_8h_source.html +++ /dev/null @@ -1,404 +0,0 @@ - - - - - - - -CLASS MANUAL: perturbations.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    perturbations.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __PERTURBATIONS__
    4 #define __PERTURBATIONS__
    5 
    6 #include "thermodynamics.h"
    7 #include "evolver_ndf15.h"
    8 #include "evolver_rkck.h"
    9 
    10 #define _scalars_ ((ppt->has_scalars == _TRUE_) && (index_md == ppt->index_md_scalars))
    11 #define _vectors_ ((ppt->has_vectors == _TRUE_) && (index_md == ppt->index_md_vectors))
    12 #define _tensors_ ((ppt->has_tensors == _TRUE_) && (index_md == ppt->index_md_tensors))
    13 
    14 #define _set_source_(index) ppt->sources[index_md][index_ic * ppt->tp_size[index_md] + index][index_tau * ppt->k_size[index_md] + index_k]
    15 
    28 
    29 enum tca_flags {tca_on, tca_off};
    30 enum rsa_flags {rsa_off, rsa_on};
    31 enum ufa_flags {ufa_off, ufa_on};
    32 enum ncdmfa_flags {ncdmfa_off, ncdmfa_on};
    33 
    35 
    41 
    42 enum tca_method {first_order_MB,first_order_CAMB,first_order_CLASS,second_order_CRS,second_order_CLASS,compromise_CLASS};
    43 enum rsa_method {rsa_null,rsa_MD,rsa_MD_with_reio,rsa_none};
    44 enum ufa_method {ufa_mb,ufa_hu,ufa_CLASS,ufa_none};
    45 enum ncdmfa_method {ncdmfa_mb,ncdmfa_hu,ncdmfa_CLASS,ncdmfa_none};
    46 enum tensor_methods {tm_photons_only,tm_massless_approximation,tm_exact};
    47 
    49 
    55 
    56 enum possible_gauges {
    57  newtonian,
    58  synchronous
    59 };
    60 
    62 
    64 
    68 #define _SELECTION_NUM_MAX_ 100
    69 enum selection_type {gaussian,tophat,dirac};
    70 
    72 
    73 
    75 
    79 #define _MAX_NUMBER_OF_K_FILES_ 30
    80 
    82 
    83 
    84 
    95 struct perturbs
    96 {
    103 
    104  short has_perturbations;
    106  short has_cls;
    108  short has_scalars;
    109  short has_vectors;
    110  short has_tensors;
    112  short has_ad;
    113  short has_bi;
    114  short has_cdi;
    115  short has_nid;
    116  short has_niv;
    118  /* perturbed recombination */
    120  short has_perturbed_recombination;
    122  enum tensor_methods tensor_method;
    124  short evolve_tensor_ur;
    125  short evolve_tensor_ncdm;
    127  short has_cl_cmb_temperature;
    128  short has_cl_cmb_polarization;
    129  short has_cl_cmb_lensing_potential;
    130  short has_cl_lensing_potential;
    131  short has_cl_number_count;
    132  short has_pk_matter;
    133  short has_density_transfers;
    134  short has_velocity_transfers;
    135  short has_metricpotential_transfers;
    137  short has_nl_corrections_based_on_delta_m;
    139  short has_nc_density;
    140  short has_nc_rsd;
    141  short has_nc_lens;
    142  short has_nc_gr;
    144  int l_scalar_max;
    145  int l_vector_max;
    146  int l_tensor_max;
    147  int l_lss_max;
    148  double k_max_for_pk;
    150  int selection_num;
    152  enum selection_type selection;
    153  double selection_mean[_SELECTION_NUM_MAX_];
    154  double selection_width[_SELECTION_NUM_MAX_];
    156  int switch_sw;
    157  int switch_eisw;
    158  int switch_lisw;
    159  int switch_dop;
    160  int switch_pol;
    161  double eisw_lisw_split_z;
    163  int store_perturbations;
    164  int k_output_values_num;
    165  double k_output_values[_MAX_NUMBER_OF_K_FILES_];
    166  int *index_k_output_values;
    167  char scalar_titles[_MAXTITLESTRINGLENGTH_];
    168  char vector_titles[_MAXTITLESTRINGLENGTH_];
    169  char tensor_titles[_MAXTITLESTRINGLENGTH_];
    170  int number_of_scalar_titles;
    171  int number_of_vector_titles;
    172  int number_of_tensor_titles;
    175  double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_];
    176  double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_];
    177  double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_];
    178  int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_];
    179  int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_];
    180  int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_];
    182  double three_ceff2_ur;
    183  double three_cvis2_ur;
    185  double z_max_pk;
    188 
    192 
    193  short has_cmb;
    194  short has_lss;
    197 
    201 
    202  enum possible_gauges gauge;
    205 
    209 
    210  int index_md_scalars;
    211  int index_md_tensors;
    212  int index_md_vectors;
    214  int md_size;
    217 
    221 
    222  int index_ic_ad;
    223  int index_ic_cdi;
    224  int index_ic_bi;
    225  int index_ic_nid;
    226  int index_ic_niv;
    227  int index_ic_ten;
    229  int * ic_size;
    232 
    236 
    237  short has_source_t;
    238  short has_source_p;
    239  short has_source_delta_m;
    240  short has_source_delta_cb;
    241  short has_source_delta_g;
    242  short has_source_delta_b;
    243  short has_source_delta_cdm;
    244  short has_source_delta_dcdm;
    245  short has_source_delta_fld;
    246  short has_source_delta_scf;
    247  short has_source_delta_dr;
    248  short has_source_delta_ur;
    249  short has_source_delta_ncdm;
    250  short has_source_theta_m;
    251  short has_source_theta_cb;
    252  short has_source_theta_g;
    253  short has_source_theta_b;
    254  short has_source_theta_cdm;
    255  short has_source_theta_dcdm;
    256  short has_source_theta_fld;
    257  short has_source_theta_scf;
    258  short has_source_theta_dr;
    259  short has_source_theta_ur;
    260  short has_source_theta_ncdm;
    261  short has_source_phi;
    262  short has_source_phi_prime;
    263  short has_source_phi_plus_psi;
    264  short has_source_psi;
    265  short has_source_h;
    266  short has_source_h_prime;
    267  short has_source_eta;
    268  short has_source_eta_prime;
    270  /* remember that the temperature source function includes three
    271  terms that we call 0,1,2 (since the strategy in class v > 1.7 is
    272  to avoid the integration by part that would reduce the source to
    273  a single term) */
    274  int index_tp_t0;
    275  int index_tp_t1;
    276  int index_tp_t2;
    277  int index_tp_p;
    278  int index_tp_delta_m;
    279  int index_tp_delta_cb;
    280  int index_tp_delta_g;
    281  int index_tp_delta_b;
    282  int index_tp_delta_cdm;
    283  int index_tp_delta_dcdm;
    284  int index_tp_delta_fld;
    285  int index_tp_delta_scf;
    286  int index_tp_delta_dr;
    287  int index_tp_delta_ur;
    288  int index_tp_delta_ncdm1;
    289  int index_tp_perturbed_recombination_delta_temp;
    290  int index_tp_perturbed_recombination_delta_chi;
    292  int index_tp_theta_m;
    293  int index_tp_theta_cb;
    294  int index_tp_theta_g;
    295  int index_tp_theta_b;
    296  int index_tp_theta_cdm;
    297  int index_tp_theta_dcdm;
    298  int index_tp_theta_fld;
    299  int index_tp_theta_scf;
    300  int index_tp_theta_ur;
    301  int index_tp_theta_dr;
    302  int index_tp_theta_ncdm1;
    304  int index_tp_phi;
    305  int index_tp_phi_prime;
    306  int index_tp_phi_plus_psi;
    307  int index_tp_psi;
    308  int index_tp_h;
    309  int index_tp_h_prime;
    310  int index_tp_eta;
    311  int index_tp_eta_prime;
    313  int * tp_size;
    316 
    320 
    321  int * k_size_cmb;
    325  int * k_size_cl;
    329  int * k_size;
    333  double ** k;
    335  double k_min;
    336  double k_max;
    339 
    344 
    345  int tau_size;
    347  double * tau_sampling;
    349  double selection_min_of_tau_min;
    350  double selection_max_of_tau_max;
    352  double selection_delta_tau;
    354  double * selection_tau_min;
    355  double * selection_tau_max;
    356  double * selection_tau;
    357  double * selection_function;
    360 
    364 
    365  double *** sources;
    372 
    376 
    377  short perturbations_verbose;
    379  ErrorMsg error_message;
    382 
    383 };
    384 
    392 struct perturb_vector
    393 {
    394  int index_pt_delta_g;
    395  int index_pt_theta_g;
    396  int index_pt_shear_g;
    397  int index_pt_l3_g;
    398  int l_max_g;
    399  int index_pt_pol0_g;
    400  int index_pt_pol1_g;
    401  int index_pt_pol2_g;
    402  int index_pt_pol3_g;
    403  int l_max_pol_g;
    404  int index_pt_delta_b;
    405  int index_pt_theta_b;
    406  int index_pt_delta_cdm;
    407  int index_pt_theta_cdm;
    408  int index_pt_delta_dcdm;
    409  int index_pt_theta_dcdm;
    410  int index_pt_delta_fld;
    411  int index_pt_theta_fld;
    412  int index_pt_Gamma_fld;
    413  int index_pt_phi_scf;
    414  int index_pt_phi_prime_scf;
    415  int index_pt_delta_ur;
    416  int index_pt_theta_ur;
    417  int index_pt_shear_ur;
    418  int index_pt_l3_ur;
    419  int l_max_ur;
    420 /* perturbed recombination */
    421  int index_pt_perturbed_recombination_delta_temp;
    422  int index_pt_perturbed_recombination_delta_chi;
    427  int index_pt_F0_dr;
    428  int l_max_dr;
    429  int index_pt_psi0_ncdm1;
    430  int N_ncdm;
    431  int* l_max_ncdm;
    432  int* q_size_ncdm;
    434  int index_pt_eta;
    435  int index_pt_phi;
    436  int index_pt_hv_prime;
    437  int index_pt_V;
    439  int index_pt_gw;
    440  int index_pt_gwdot;
    441  int pt_size;
    443  double * y;
    444  double * dy;
    446  int * used_in_sources;
    450 };
    451 
    452 
    460 struct perturb_workspace
    461 {
    462 
    468 
    469  int index_mt_psi;
    470  int index_mt_phi_prime;
    471  int index_mt_h_prime;
    472  int index_mt_h_prime_prime;
    473  int index_mt_eta_prime;
    474  int index_mt_alpha;
    475  int index_mt_alpha_prime;
    476  int index_mt_gw_prime_prime;
    477  int index_mt_V_prime;
    478  int index_mt_hv_prime_prime;
    479  int mt_size;
    482 
    488 
    489  double * pvecback;
    490  double * pvecthermo;
    491  double * pvecmetric;
    492  struct perturb_vector * pv;
    496  double delta_rho;
    497  double rho_plus_p_theta;
    498  double rho_plus_p_shear;
    499  double delta_p;
    500  double gw_source;
    501  double vector_source_pi;
    502  double vector_source_v;
    504  double tca_shear_g;
    505  double tca_slip;
    506  double rsa_delta_g;
    507  double rsa_theta_g;
    508  double rsa_delta_ur;
    509  double rsa_theta_ur;
    511  double * delta_ncdm;
    512  double * theta_ncdm;
    513  double * shear_ncdm;
    515  double delta_m;
    516  double theta_m;
    518  double delta_cb;
    519  double theta_cb;
    521  double delta_rho_fld;
    522  double rho_plus_p_theta_fld;
    523  double S_fld;
    524  double Gamma_prime_fld;
    526  FILE * perturb_output_file;
    527  int index_ikout;
    530 
    534 
    535  short inter_mode;
    537  int last_index_back;
    538  int last_index_thermo;
    541 
    545 
    546  int index_ap_tca;
    547  int index_ap_rsa;
    548  int index_ap_ufa;
    549  int index_ap_ncdmfa;
    550  int ap_size;
    552  int * approx;
    555 
    559 
    560  int max_l_max;
    561  double * s_l;
    564 
    565 };
    566 
    573 struct perturb_parameters_and_workspace {
    574 
    575  struct precision * ppr;
    576  struct background * pba;
    577  struct thermo * pth;
    578  struct perturbs * ppt;
    579  int index_md;
    580  int index_ic;
    581  int index_k;
    582  double k;
    583  struct perturb_workspace * ppw;
    585 };
    586 
    587 /*************************************************************************************************************/
    588 /* @cond INCLUDE_WITH_DOXYGEN */
    589 /*
    590  * Boilerplate for C++
    591  */
    592 #ifdef __cplusplus
    593 extern "C" {
    594 #endif
    595 
    596  int perturb_sources_at_tau(
    597  struct perturbs * ppt,
    598  int index_md,
    599  int index_ic,
    600  int index_type,
    601  double tau,
    602  double * pvecsources
    603  );
    604 
    605  int perturb_init(
    606  struct precision * ppr,
    607  struct background * pba,
    608  struct thermo * pth,
    609  struct perturbs * ppt
    610  );
    611 
    612  int perturb_free(
    613  struct perturbs * ppt
    614  );
    615 
    616  int perturb_indices_of_perturbs(
    617  struct precision * ppr,
    618  struct background * pba,
    619  struct thermo * pth,
    620  struct perturbs * ppt
    621  );
    622 
    623  int perturb_timesampling_for_sources(
    624  struct precision * ppr,
    625  struct background * pba,
    626  struct thermo * pth,
    627  struct perturbs * ppt
    628  );
    629  int perturb_get_k_list(
    630  struct precision * ppr,
    631  struct background * pba,
    632  struct thermo * pth,
    633  struct perturbs * ppt
    634  );
    635 
    636  int perturb_workspace_init(
    637  struct precision * ppr,
    638  struct background * pba,
    639  struct thermo * pth,
    640  struct perturbs * ppt,
    641  int index_md,
    642  struct perturb_workspace * ppw
    643  );
    644 
    645  int perturb_workspace_free(
    646  struct perturbs * ppt,
    647  int index_md,
    648  struct perturb_workspace * ppw
    649  );
    650 
    651  int perturb_solve(
    652  struct precision * ppr,
    653  struct background * pba,
    654  struct thermo * pth,
    655  struct perturbs * ppt,
    656  int index_md,
    657  int index_ic,
    658  int index_k,
    659  struct perturb_workspace * ppw
    660  );
    661 
    662  int perturb_find_approximation_number(
    663  struct precision * ppr,
    664  struct background * pba,
    665  struct thermo * pth,
    666  struct perturbs * ppt,
    667  int index_md,
    668  double k,
    669  struct perturb_workspace * ppw,
    670  double tau_ini,
    671  double tau_end,
    672  int * interval_number,
    673  int * interval_number_of
    674  );
    675 
    676  int perturb_find_approximation_switches(
    677  struct precision * ppr,
    678  struct background * pba,
    679  struct thermo * pth,
    680  struct perturbs * ppt,
    681  int index_md,
    682  double k,
    683  struct perturb_workspace * ppw,
    684  double tau_ini,
    685  double tau_end,
    686  double precision,
    687  int interval_number,
    688  int * interval_number_of,
    689  double * interval_limit,
    690  int ** interval_approx
    691  );
    692 
    693  int perturb_vector_init(
    694  struct precision * ppr,
    695  struct background * pba,
    696  struct thermo * pth,
    697  struct perturbs * ppt,
    698  int index_md,
    699  int index_ic,
    700  double k,
    701  double tau,
    702  struct perturb_workspace * ppw,
    703  int * pa_old
    704  );
    705 
    706  int perturb_vector_free(
    707  struct perturb_vector * pv
    708  );
    709 
    710  int perturb_initial_conditions(
    711  struct precision * ppr,
    712  struct background * pba,
    713  struct perturbs * ppt,
    714  int index_md,
    715  int index_ic,
    716  double k,
    717  double tau,
    718  struct perturb_workspace * ppw
    719  );
    720 
    721  int perturb_approximations(
    722  struct precision * ppr,
    723  struct background * pba,
    724  struct thermo * pth,
    725  struct perturbs * ppt,
    726  int index_md,
    727  double k,
    728  double tau,
    729  struct perturb_workspace * ppw
    730  );
    731 
    732  int perturb_timescale(
    733  double tau,
    734  void * parameters_and_workspace,
    735  double * timescale,
    736  ErrorMsg error_message
    737  );
    738 
    739  int perturb_einstein(
    740  struct precision * ppr,
    741  struct background * pba,
    742  struct thermo * pth,
    743  struct perturbs * ppt,
    744  int index_md,
    745  double k,
    746  double tau,
    747  double * y,
    748  struct perturb_workspace * ppw
    749  );
    750 
    751  int perturb_total_stress_energy(
    752  struct precision * ppr,
    753  struct background * pba,
    754  struct thermo * pth,
    755  struct perturbs * ppt,
    756  int index_md,
    757  double k,
    758  double * y,
    759  struct perturb_workspace * ppw
    760  );
    761 
    762  int perturb_sources(
    763  double tau,
    764  double * pvecperturbations,
    765  double * pvecderivs,
    766  int index_tau,
    767  void * parameters_and_workspace,
    768  ErrorMsg error_message
    769  );
    770 
    771  int perturb_print_variables(
    772  double tau,
    773  double * y,
    774  double * dy,
    775  void * parameters_and_workspace,
    776  ErrorMsg error_message
    777  );
    778 
    779  int perturb_derivs(
    780  double tau,
    781  double * y,
    782  double * dy,
    783  void * parameters_and_workspace,
    784  ErrorMsg error_message
    785  );
    786 
    787  int perturb_tca_slip_and_shear(
    788  double * y,
    789  void * parameters_and_workspace,
    790  ErrorMsg error_message
    791  );
    792 
    793  int perturb_rsa_delta_and_theta(
    794  struct precision * ppr,
    795  struct background * pba,
    796  struct thermo * pth,
    797  struct perturbs * ppt,
    798  double k,
    799  double * y,
    800  double a_prime_over_a,
    801  double * pvecthermo,
    802  struct perturb_workspace * ppw
    803  );
    804 
    805  int perturb_prepare_output_file(struct background * pba,
    806  struct perturbs * ppt,
    807  struct perturb_workspace * ppw,
    808  int index_ikout,
    809  int index_md);
    810 
    811  int perturb_prepare_output(struct background * pba,
    812  struct perturbs * ppt);
    813 
    814 #ifdef __cplusplus
    815 }
    816 #endif
    817 
    818 /**************************************************************/
    819 
    820 #endif
    821 /* @endcond */
    perturbs::has_cdi
    short has_cdi
    Definition: perturbations.h:114
    -
    perturb_vector::index_pt_pol3_g
    int index_pt_pol3_g
    Definition: perturbations.h:402
    -
    perturb_vector::dy
    double * dy
    Definition: perturbations.h:444
    -
    perturb_vector::index_pt_phi
    int index_pt_phi
    Definition: perturbations.h:435
    -
    perturbs::has_nc_lens
    short has_nc_lens
    Definition: perturbations.h:141
    -
    perturb_vector::index_pt_delta_ur
    int index_pt_delta_ur
    Definition: perturbations.h:415
    -
    perturbs::gauge
    enum possible_gauges gauge
    Definition: perturbations.h:202
    -
    perturbs::store_perturbations
    int store_perturbations
    Definition: perturbations.h:163
    -
    perturbs::index_ic_niv
    int index_ic_niv
    Definition: perturbations.h:226
    -
    perturb_vector::y
    double * y
    Definition: perturbations.h:443
    -
    perturb_vector::index_pt_psi0_ncdm1
    int index_pt_psi0_ncdm1
    Definition: perturbations.h:429
    -
    background
    Definition: background.h:31
    -
    perturbs::index_tp_theta_ncdm1
    int index_tp_theta_ncdm1
    Definition: perturbations.h:302
    -
    perturbs::has_vectors
    short has_vectors
    Definition: perturbations.h:109
    -
    perturb_workspace::S_fld
    double S_fld
    Definition: perturbations.h:523
    -
    perturbs::has_source_theta_ur
    short has_source_theta_ur
    Definition: perturbations.h:259
    -
    perturbs::has_source_phi
    short has_source_phi
    Definition: perturbations.h:261
    -
    perturbs::index_tp_delta_m
    int index_tp_delta_m
    Definition: perturbations.h:278
    -
    perturbs::has_source_theta_ncdm
    short has_source_theta_ncdm
    Definition: perturbations.h:260
    -
    perturb_workspace::vector_source_v
    double vector_source_v
    Definition: perturbations.h:502
    -
    perturb_workspace::tca_shear_g
    double tca_shear_g
    Definition: perturbations.h:504
    -
    perturb_workspace_free
    int perturb_workspace_free(struct perturbs *ppt, int index_md, struct perturb_workspace *ppw)
    Definition: perturbations.c:2052
    -
    perturb_workspace::pv
    struct perturb_vector * pv
    Definition: perturbations.h:492
    -
    perturb_vector::index_pt_l3_g
    int index_pt_l3_g
    Definition: perturbations.h:397
    -
    perturb_workspace::index_mt_h_prime_prime
    int index_mt_h_prime_prime
    Definition: perturbations.h:472
    -
    perturbs::index_tp_theta_m
    int index_tp_theta_m
    Definition: perturbations.h:292
    -
    perturb_vector
    Definition: perturbations.h:392
    -
    perturb_tca_slip_and_shear
    int perturb_tca_slip_and_shear(double *y, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: perturbations.c:7936
    -
    perturbs::eisw_lisw_split_z
    double eisw_lisw_split_z
    Definition: perturbations.h:161
    -
    perturb_workspace_init
    int perturb_workspace_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, struct perturb_workspace *ppw)
    Definition: perturbations.c:1884
    -
    perturbs::selection_max_of_tau_max
    double selection_max_of_tau_max
    Definition: perturbations.h:350
    -
    perturb_vector::index_pt_gw
    int index_pt_gw
    Definition: perturbations.h:439
    -
    perturbs::ic_size
    int * ic_size
    Definition: perturbations.h:229
    -
    perturb_workspace::index_mt_psi
    int index_mt_psi
    Definition: perturbations.h:469
    -
    tca_method
    tca_method
    Definition: perturbations.h:42
    -
    perturbs::switch_pol
    int switch_pol
    Definition: perturbations.h:160
    -
    synchronous
    Definition: perturbations.h:58
    -
    perturbs::scalar_perturbations_data
    double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:175
    -
    perturbs::has_cl_cmb_temperature
    short has_cl_cmb_temperature
    Definition: perturbations.h:127
    -
    perturbs::l_scalar_max
    int l_scalar_max
    Definition: perturbations.h:144
    -
    perturb_parameters_and_workspace::index_k
    int index_k
    Definition: perturbations.h:581
    -
    perturb_vector::l_max_g
    int l_max_g
    Definition: perturbations.h:398
    -
    perturbs::selection_delta_tau
    double selection_delta_tau
    Definition: perturbations.h:352
    -
    perturb_vector::q_size_ncdm
    int * q_size_ncdm
    Definition: perturbations.h:432
    -
    perturbs::has_nid
    short has_nid
    Definition: perturbations.h:115
    -
    perturbs::has_source_phi_plus_psi
    short has_source_phi_plus_psi
    Definition: perturbations.h:263
    -
    perturbs::perturbations_verbose
    short perturbations_verbose
    Definition: perturbations.h:377
    -
    perturbs::has_ad
    short has_ad
    Definition: perturbations.h:112
    -
    perturbs::selection_tau
    double * selection_tau
    Definition: perturbations.h:356
    -
    perturbs::index_tp_phi_prime
    int index_tp_phi_prime
    Definition: perturbations.h:305
    -
    perturb_vector::index_pt_perturbed_recombination_delta_temp
    int index_pt_perturbed_recombination_delta_temp
    Definition: perturbations.h:421
    -
    perturbs::three_ceff2_ur
    double three_ceff2_ur
    Definition: perturbations.h:182
    -
    perturbs::has_source_delta_dcdm
    short has_source_delta_dcdm
    Definition: perturbations.h:244
    -
    perturbs::index_ic_cdi
    int index_ic_cdi
    Definition: perturbations.h:223
    -
    perturbs::has_niv
    short has_niv
    Definition: perturbations.h:116
    -
    perturb_vector::index_pt_theta_g
    int index_pt_theta_g
    Definition: perturbations.h:395
    -
    perturbs::has_source_delta_b
    short has_source_delta_b
    Definition: perturbations.h:242
    -
    perturb_print_variables
    int perturb_print_variables(double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: perturbations.c:6336
    -
    perturbs::index_tp_theta_dcdm
    int index_tp_theta_dcdm
    Definition: perturbations.h:297
    -
    perturbs::has_nl_corrections_based_on_delta_m
    short has_nl_corrections_based_on_delta_m
    Definition: perturbations.h:137
    -
    perturb_vector::index_pt_phi_prime_scf
    int index_pt_phi_prime_scf
    Definition: perturbations.h:414
    -
    perturb_vector::l_max_pol_g
    int l_max_pol_g
    Definition: perturbations.h:403
    -
    perturbs
    Definition: perturbations.h:95
    -
    perturbs::has_source_delta_cb
    short has_source_delta_cb
    Definition: perturbations.h:240
    -
    perturb_workspace::index_mt_phi_prime
    int index_mt_phi_prime
    Definition: perturbations.h:470
    -
    perturbs::index_tp_delta_cb
    int index_tp_delta_cb
    Definition: perturbations.h:279
    -
    perturbs::evolve_tensor_ncdm
    short evolve_tensor_ncdm
    Definition: perturbations.h:125
    -
    perturbs::scalar_titles
    char scalar_titles[_MAXTITLESTRINGLENGTH_]
    Definition: perturbations.h:167
    -
    perturb_workspace::gw_source
    double gw_source
    Definition: perturbations.h:500
    -
    perturbs::k
    double ** k
    Definition: perturbations.h:333
    -
    perturbs::has_source_theta_cdm
    short has_source_theta_cdm
    Definition: perturbations.h:254
    -
    perturb_vector::index_pt_delta_cdm
    int index_pt_delta_cdm
    Definition: perturbations.h:406
    -
    perturb_workspace::theta_cb
    double theta_cb
    Definition: perturbations.h:519
    -
    perturb_vector::index_pt_pol1_g
    int index_pt_pol1_g
    Definition: perturbations.h:400
    -
    perturbs::has_cl_cmb_polarization
    short has_cl_cmb_polarization
    Definition: perturbations.h:128
    -
    perturb_workspace::last_index_back
    int last_index_back
    Definition: perturbations.h:537
    -
    perturb_workspace::s_l
    double * s_l
    Definition: perturbations.h:561
    -
    perturb_workspace::index_mt_alpha_prime
    int index_mt_alpha_prime
    Definition: perturbations.h:475
    -
    perturb_vector::index_pt_F0_dr
    int index_pt_F0_dr
    Definition: perturbations.h:427
    -
    perturb_initial_conditions
    int perturb_initial_conditions(struct precision *ppr, struct background *pba, struct perturbs *ppt, int index_md, int index_ic, double k, double tau, struct perturb_workspace *ppw)
    Definition: perturbations.c:4066
    -
    perturbs::has_velocity_transfers
    short has_velocity_transfers
    Definition: perturbations.h:134
    -
    thermo
    Definition: thermodynamics.h:58
    -
    perturb_workspace::rho_plus_p_shear
    double rho_plus_p_shear
    Definition: perturbations.h:498
    -
    perturb_parameters_and_workspace::index_md
    int index_md
    Definition: perturbations.h:579
    -
    perturb_solve
    int perturb_solve(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, int index_ic, int index_k, struct perturb_workspace *ppw)
    Definition: perturbations.c:2103
    -
    perturbs::vector_perturbations_data
    double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:176
    -
    perturb_workspace::index_mt_eta_prime
    int index_mt_eta_prime
    Definition: perturbations.h:473
    -
    perturb_sources
    int perturb_sources(double tau, double *y, double *dy, int index_tau, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: perturbations.c:5855
    -
    perturbs::tp_size
    int * tp_size
    Definition: perturbations.h:313
    -
    perturbs::tau_sampling
    double * tau_sampling
    Definition: perturbations.h:347
    -
    perturb_workspace::delta_rho_fld
    double delta_rho_fld
    Definition: perturbations.h:521
    - -
    perturbs::has_lss
    short has_lss
    Definition: perturbations.h:194
    -
    perturbs::has_source_t
    short has_source_t
    Definition: perturbations.h:237
    -
    perturbs::selection_tau_max
    double * selection_tau_max
    Definition: perturbations.h:355
    -
    perturb_vector::index_pt_shear_ur
    int index_pt_shear_ur
    Definition: perturbations.h:417
    -
    perturb_workspace::mt_size
    int mt_size
    Definition: perturbations.h:479
    -
    perturb_vector::index_pt_theta_fld
    int index_pt_theta_fld
    Definition: perturbations.h:411
    -
    perturbs::tensor_method
    enum tensor_methods tensor_method
    Definition: perturbations.h:122
    -
    perturb_workspace::delta_ncdm
    double * delta_ncdm
    Definition: perturbations.h:511
    -
    perturbs::has_cl_lensing_potential
    short has_cl_lensing_potential
    Definition: perturbations.h:130
    -
    perturbs::switch_dop
    int switch_dop
    Definition: perturbations.h:159
    -
    perturb_workspace::rsa_delta_g
    double rsa_delta_g
    Definition: perturbations.h:506
    -
    perturb_vector::index_pt_hv_prime
    int index_pt_hv_prime
    Definition: perturbations.h:436
    -
    perturb_workspace::delta_cb
    double delta_cb
    Definition: perturbations.h:518
    -
    perturbs::k_size_cl
    int * k_size_cl
    Definition: perturbations.h:325
    -
    perturb_prepare_output
    int perturb_prepare_output(struct background *pba, struct perturbs *ppt)
    Definition: perturbations.c:2494
    -
    _MAX_NUMBER_OF_K_FILES_
    #define _MAX_NUMBER_OF_K_FILES_
    Definition: perturbations.h:79
    -
    perturbs::selection_width
    double selection_width[_SELECTION_NUM_MAX_]
    Definition: perturbations.h:154
    -
    perturbs::index_tp_theta_b
    int index_tp_theta_b
    Definition: perturbations.h:295
    -
    perturbs::selection_mean
    double selection_mean[_SELECTION_NUM_MAX_]
    Definition: perturbations.h:153
    -
    perturb_vector::used_in_sources
    int * used_in_sources
    Definition: perturbations.h:446
    -
    perturbs::has_nc_density
    short has_nc_density
    Definition: perturbations.h:139
    -
    perturbs::index_k_output_values
    int * index_k_output_values
    Definition: perturbations.h:166
    -
    perturbs::has_source_delta_scf
    short has_source_delta_scf
    Definition: perturbations.h:246
    -
    perturb_vector::l_max_dr
    int l_max_dr
    Definition: perturbations.h:428
    -
    perturb_vector::index_pt_delta_b
    int index_pt_delta_b
    Definition: perturbations.h:404
    -
    perturbs::has_metricpotential_transfers
    short has_metricpotential_transfers
    Definition: perturbations.h:135
    -
    perturb_approximations
    int perturb_approximations(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double tau, struct perturb_workspace *ppw)
    Definition: perturbations.c:4737
    -
    perturb_workspace::pvecmetric
    double * pvecmetric
    Definition: perturbations.h:491
    -
    perturb_vector::pt_size
    int pt_size
    Definition: perturbations.h:441
    -
    perturbs::tensor_titles
    char tensor_titles[_MAXTITLESTRINGLENGTH_]
    Definition: perturbations.h:169
    -
    perturb_workspace::index_mt_gw_prime_prime
    int index_mt_gw_prime_prime
    Definition: perturbations.h:476
    -
    perturbs::index_tp_t1
    int index_tp_t1
    Definition: perturbations.h:275
    -
    perturbs::switch_sw
    int switch_sw
    Definition: perturbations.h:156
    -
    perturbs::index_tp_phi
    int index_tp_phi
    Definition: perturbations.h:304
    -
    perturb_timescale
    int perturb_timescale(double tau, void *parameters_and_workspace, double *timescale, ErrorMsg error_message)
    Definition: perturbations.c:4941
    -
    perturbs::has_source_p
    short has_source_p
    Definition: perturbations.h:238
    -
    perturbs::index_tp_h
    int index_tp_h
    Definition: perturbations.h:308
    -
    perturbs::index_tp_delta_dcdm
    int index_tp_delta_dcdm
    Definition: perturbations.h:283
    -
    perturb_workspace
    Definition: perturbations.h:460
    -
    perturbs::has_source_h_prime
    short has_source_h_prime
    Definition: perturbations.h:266
    -
    perturbs::selection_function
    double * selection_function
    Definition: perturbations.h:357
    -
    perturb_parameters_and_workspace::ppr
    struct precision * ppr
    Definition: perturbations.h:575
    -
    perturbs::index_tp_eta_prime
    int index_tp_eta_prime
    Definition: perturbations.h:311
    -
    perturbs::k_output_values_num
    int k_output_values_num
    Definition: perturbations.h:164
    -
    possible_gauges
    possible_gauges
    Definition: perturbations.h:56
    -
    tca_flags
    tca_flags
    Definition: perturbations.h:29
    -
    _SELECTION_NUM_MAX_
    #define _SELECTION_NUM_MAX_
    Definition: perturbations.h:68
    -
    perturbs::k_max
    double k_max
    Definition: perturbations.h:336
    -
    perturbs::selection_num
    int selection_num
    Definition: perturbations.h:150
    -
    perturb_indices_of_perturbs
    int perturb_indices_of_perturbs(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
    Definition: perturbations.c:535
    -
    perturb_workspace::pvecback
    double * pvecback
    Definition: perturbations.h:489
    -
    perturb_workspace::index_ap_ncdmfa
    int index_ap_ncdmfa
    Definition: perturbations.h:549
    -
    perturb_vector::index_pt_theta_b
    int index_pt_theta_b
    Definition: perturbations.h:405
    -
    perturb_workspace::index_ap_tca
    int index_ap_tca
    Definition: perturbations.h:546
    -
    perturbs::tensor_perturbations_data
    double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:177
    -
    perturbs::has_source_theta_m
    short has_source_theta_m
    Definition: perturbations.h:250
    -
    perturb_workspace::index_mt_hv_prime_prime
    int index_mt_hv_prime_prime
    Definition: perturbations.h:478
    -
    perturb_workspace::shear_ncdm
    double * shear_ncdm
    Definition: perturbations.h:513
    -
    perturb_get_k_list
    int perturb_get_k_list(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
    Definition: perturbations.c:1262
    -
    perturbs::l_tensor_max
    int l_tensor_max
    Definition: perturbations.h:146
    -
    perturbs::index_ic_ten
    int index_ic_ten
    Definition: perturbations.h:227
    -
    perturb_timesampling_for_sources
    int perturb_timesampling_for_sources(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
    Definition: perturbations.c:886
    -
    perturb_workspace::inter_mode
    short inter_mode
    Definition: perturbations.h:535
    -
    perturbs::size_vector_perturbation_data
    int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:179
    -
    perturbs::has_source_theta_cb
    short has_source_theta_cb
    Definition: perturbations.h:251
    -
    perturbs::index_tp_delta_scf
    int index_tp_delta_scf
    Definition: perturbations.h:285
    -
    perturbs::index_tp_theta_scf
    int index_tp_theta_scf
    Definition: perturbations.h:299
    -
    perturbs::has_scalars
    short has_scalars
    Definition: perturbations.h:108
    -
    perturbs::has_source_theta_fld
    short has_source_theta_fld
    Definition: perturbations.h:256
    -
    perturbs::tau_size
    int tau_size
    Definition: perturbations.h:345
    -
    perturb_vector::index_pt_pol0_g
    int index_pt_pol0_g
    Definition: perturbations.h:399
    -
    perturb_vector::index_pt_Gamma_fld
    int index_pt_Gamma_fld
    Definition: perturbations.h:412
    -
    perturbs::has_source_delta_ncdm
    short has_source_delta_ncdm
    Definition: perturbations.h:249
    -
    perturb_init
    int perturb_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt)
    Definition: perturbations.c:98
    -
    perturb_workspace::index_mt_V_prime
    int index_mt_V_prime
    Definition: perturbations.h:477
    -
    perturbs::index_tp_psi
    int index_tp_psi
    Definition: perturbations.h:307
    -
    perturb_vector::index_pt_theta_ur
    int index_pt_theta_ur
    Definition: perturbations.h:416
    -
    perturb_workspace::tca_slip
    double tca_slip
    Definition: perturbations.h:505
    -
    perturbs::has_cmb
    short has_cmb
    Definition: perturbations.h:193
    -
    perturb_find_approximation_switches
    int perturb_find_approximation_switches(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, struct perturb_workspace *ppw, double tau_ini, double tau_end, double precision, int interval_number, int *interval_number_of, double *interval_limit, int **interval_approx)
    Definition: perturbations.c:2707
    -
    perturbs::index_tp_delta_b
    int index_tp_delta_b
    Definition: perturbations.h:281
    -
    perturbs::has_source_delta_g
    short has_source_delta_g
    Definition: perturbations.h:241
    -
    perturbs::has_nc_rsd
    short has_nc_rsd
    Definition: perturbations.h:140
    -
    perturb_workspace::Gamma_prime_fld
    double Gamma_prime_fld
    Definition: perturbations.h:524
    -
    perturbs::error_message
    ErrorMsg error_message
    Definition: perturbations.h:379
    -
    perturb_vector::index_pt_eta
    int index_pt_eta
    Definition: perturbations.h:434
    -
    perturb_free
    int perturb_free(struct perturbs *ppt)
    Definition: perturbations.c:461
    -
    perturbs::has_source_h
    short has_source_h
    Definition: perturbations.h:265
    -
    perturb_workspace::rho_plus_p_theta_fld
    double rho_plus_p_theta_fld
    Definition: perturbations.h:522
    -
    perturb_workspace::max_l_max
    int max_l_max
    Definition: perturbations.h:560
    -
    perturb_workspace::approx
    int * approx
    Definition: perturbations.h:552
    -
    perturbs::evolve_tensor_ur
    short evolve_tensor_ur
    Definition: perturbations.h:124
    -
    perturb_workspace::ap_size
    int ap_size
    Definition: perturbations.h:550
    -
    perturb_vector::index_pt_V
    int index_pt_V
    Definition: perturbations.h:437
    -
    perturbs::index_tp_delta_ncdm1
    int index_tp_delta_ncdm1
    Definition: perturbations.h:288
    -
    perturbs::has_tensors
    short has_tensors
    Definition: perturbations.h:110
    -
    perturbs::has_cl_number_count
    short has_cl_number_count
    Definition: perturbations.h:131
    -
    perturbs::z_max_pk
    double z_max_pk
    Definition: perturbations.h:185
    -
    perturb_vector::index_pt_delta_g
    int index_pt_delta_g
    Definition: perturbations.h:394
    -
    perturbs::index_md_vectors
    int index_md_vectors
    Definition: perturbations.h:212
    -
    perturbs::index_tp_delta_dr
    int index_tp_delta_dr
    Definition: perturbations.h:286
    -
    perturbs::selection_tau_min
    double * selection_tau_min
    Definition: perturbations.h:354
    -
    perturb_vector::index_pt_perturbed_recombination_delta_chi
    int index_pt_perturbed_recombination_delta_chi
    Definition: perturbations.h:422
    -
    perturb_vector::index_pt_phi_scf
    int index_pt_phi_scf
    Definition: perturbations.h:413
    -
    perturb_parameters_and_workspace::pba
    struct background * pba
    Definition: perturbations.h:576
    -
    perturbs::has_source_theta_dr
    short has_source_theta_dr
    Definition: perturbations.h:258
    -
    perturbs::selection_min_of_tau_min
    double selection_min_of_tau_min
    Definition: perturbations.h:349
    -
    perturbs::index_tp_delta_cdm
    int index_tp_delta_cdm
    Definition: perturbations.h:282
    -
    perturbs::has_source_eta
    short has_source_eta
    Definition: perturbations.h:267
    -
    perturbs::has_source_phi_prime
    short has_source_phi_prime
    Definition: perturbations.h:262
    -
    perturbs::k_output_values
    double k_output_values[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:165
    -
    perturbs::has_source_delta_fld
    short has_source_delta_fld
    Definition: perturbations.h:245
    -
    perturbs::index_md_tensors
    int index_md_tensors
    Definition: perturbations.h:211
    -
    perturbs::index_tp_theta_cb
    int index_tp_theta_cb
    Definition: perturbations.h:293
    -
    perturbs::has_source_delta_ur
    short has_source_delta_ur
    Definition: perturbations.h:248
    -
    perturb_parameters_and_workspace::ppw
    struct perturb_workspace * ppw
    Definition: perturbations.h:583
    -
    perturbs::has_perturbations
    short has_perturbations
    Definition: perturbations.h:104
    -
    perturbs::k_size_cmb
    int * k_size_cmb
    Definition: perturbations.h:321
    -
    perturb_vector::index_pt_gwdot
    int index_pt_gwdot
    Definition: perturbations.h:440
    -
    perturb_vector::index_pt_theta_dcdm
    int index_pt_theta_dcdm
    Definition: perturbations.h:409
    -
    perturb_total_stress_energy
    int perturb_total_stress_energy(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double *y, struct perturb_workspace *ppw)
    Definition: perturbations.c:5312
    -
    perturb_workspace::delta_m
    double delta_m
    Definition: perturbations.h:515
    -
    perturbs::has_bi
    short has_bi
    Definition: perturbations.h:113
    -
    perturbs::has_source_theta_b
    short has_source_theta_b
    Definition: perturbations.h:253
    -
    perturbs::has_density_transfers
    short has_density_transfers
    Definition: perturbations.h:133
    -
    perturb_workspace::rsa_theta_g
    double rsa_theta_g
    Definition: perturbations.h:507
    -
    perturbs::index_tp_theta_cdm
    int index_tp_theta_cdm
    Definition: perturbations.h:296
    -
    perturb_workspace::delta_p
    double delta_p
    Definition: perturbations.h:499
    -
    perturb_workspace::theta_ncdm
    double * theta_ncdm
    Definition: perturbations.h:512
    -
    perturbs::index_ic_ad
    int index_ic_ad
    Definition: perturbations.h:222
    -
    perturbs::index_ic_nid
    int index_ic_nid
    Definition: perturbations.h:225
    -
    perturb_workspace::last_index_thermo
    int last_index_thermo
    Definition: perturbations.h:538
    -
    perturb_workspace::delta_rho
    double delta_rho
    Definition: perturbations.h:496
    -
    perturbs::k_max_for_pk
    double k_max_for_pk
    Definition: perturbations.h:148
    -
    perturb_vector_free
    int perturb_vector_free(struct perturb_vector *pv)
    Definition: perturbations.c:4035
    -
    perturb_workspace::index_mt_alpha
    int index_mt_alpha
    Definition: perturbations.h:474
    -
    perturb_workspace::vector_source_pi
    double vector_source_pi
    Definition: perturbations.h:501
    -
    perturbs::selection
    enum selection_type selection
    Definition: perturbations.h:152
    -
    perturbs::has_source_eta_prime
    short has_source_eta_prime
    Definition: perturbations.h:268
    -
    perturbs::switch_lisw
    int switch_lisw
    Definition: perturbations.h:158
    -
    perturb_vector::index_pt_pol2_g
    int index_pt_pol2_g
    Definition: perturbations.h:401
    -
    perturbs::index_tp_phi_plus_psi
    int index_tp_phi_plus_psi
    Definition: perturbations.h:306
    -
    perturb_vector::index_pt_l3_ur
    int index_pt_l3_ur
    Definition: perturbations.h:418
    -
    perturbs::has_cls
    short has_cls
    Definition: perturbations.h:106
    -
    perturbs::index_ic_bi
    int index_ic_bi
    Definition: perturbations.h:224
    -
    perturbs::index_tp_theta_ur
    int index_tp_theta_ur
    Definition: perturbations.h:300
    -
    perturbs::index_tp_perturbed_recombination_delta_temp
    int index_tp_perturbed_recombination_delta_temp
    Definition: perturbations.h:289
    -
    perturbs::index_tp_theta_dr
    int index_tp_theta_dr
    Definition: perturbations.h:301
    -
    perturbs::has_source_psi
    short has_source_psi
    Definition: perturbations.h:264
    -
    perturbs::has_nc_gr
    short has_nc_gr
    Definition: perturbations.h:142
    -
    perturb_vector::index_pt_delta_fld
    int index_pt_delta_fld
    Definition: perturbations.h:410
    -
    perturbs::has_perturbed_recombination
    short has_perturbed_recombination
    Definition: perturbations.h:120
    -
    perturbs::size_tensor_perturbation_data
    int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:180
    -
    perturb_parameters_and_workspace::index_ic
    int index_ic
    Definition: perturbations.h:580
    -
    perturbs::has_cl_cmb_lensing_potential
    short has_cl_cmb_lensing_potential
    Definition: perturbations.h:129
    -
    perturbs::number_of_vector_titles
    int number_of_vector_titles
    Definition: perturbations.h:171
    -
    perturbs::index_tp_eta
    int index_tp_eta
    Definition: perturbations.h:310
    -
    perturbs::index_tp_theta_g
    int index_tp_theta_g
    Definition: perturbations.h:294
    -
    perturbs::vector_titles
    char vector_titles[_MAXTITLESTRINGLENGTH_]
    Definition: perturbations.h:168
    -
    perturb_vector::N_ncdm
    int N_ncdm
    Definition: perturbations.h:430
    -
    perturbs::number_of_tensor_titles
    int number_of_tensor_titles
    Definition: perturbations.h:172
    -
    precision
    Definition: common.h:345
    -
    perturb_workspace::pvecthermo
    double * pvecthermo
    Definition: perturbations.h:490
    -
    perturbs::switch_eisw
    int switch_eisw
    Definition: perturbations.h:157
    -
    perturbs::sources
    double *** sources
    Definition: perturbations.h:365
    -
    perturb_find_approximation_number
    int perturb_find_approximation_number(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, struct perturb_workspace *ppw, double tau_ini, double tau_end, int *interval_number, int *interval_number_of)
    Definition: perturbations.c:2618
    -
    perturb_workspace::index_ap_rsa
    int index_ap_rsa
    Definition: perturbations.h:547
    -
    perturbs::index_tp_theta_fld
    int index_tp_theta_fld
    Definition: perturbations.h:298
    -
    perturbs::k_size
    int * k_size
    Definition: perturbations.h:329
    -
    perturb_vector::l_max_ur
    int l_max_ur
    Definition: perturbations.h:419
    -
    perturbs::has_pk_matter
    short has_pk_matter
    Definition: perturbations.h:132
    -
    perturbs::index_tp_delta_ur
    int index_tp_delta_ur
    Definition: perturbations.h:287
    -
    perturbs::three_cvis2_ur
    double three_cvis2_ur
    Definition: perturbations.h:183
    -
    perturb_vector::index_pt_delta_dcdm
    int index_pt_delta_dcdm
    Definition: perturbations.h:408
    -
    perturbs::number_of_scalar_titles
    int number_of_scalar_titles
    Definition: perturbations.h:170
    -
    perturb_parameters_and_workspace::ppt
    struct perturbs * ppt
    Definition: perturbations.h:578
    -
    perturb_workspace::index_ikout
    int index_ikout
    Definition: perturbations.h:527
    -
    perturb_workspace::theta_m
    double theta_m
    Definition: perturbations.h:516
    -
    perturbs::index_tp_delta_fld
    int index_tp_delta_fld
    Definition: perturbations.h:284
    -
    perturbs::index_md_scalars
    int index_md_scalars
    Definition: perturbations.h:210
    -
    perturb_workspace::perturb_output_file
    FILE * perturb_output_file
    Definition: perturbations.h:526
    -
    perturb_workspace::rsa_theta_ur
    double rsa_theta_ur
    Definition: perturbations.h:509
    -
    perturb_einstein
    int perturb_einstein(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, double k, double tau, double *y, struct perturb_workspace *ppw)
    Definition: perturbations.c:5111
    -
    perturbs::has_source_theta_g
    short has_source_theta_g
    Definition: perturbations.h:252
    -
    perturb_vector::index_pt_shear_g
    int index_pt_shear_g
    Definition: perturbations.h:396
    -
    perturb_workspace::index_mt_h_prime
    int index_mt_h_prime
    Definition: perturbations.h:471
    -
    perturb_vector::index_pt_theta_cdm
    int index_pt_theta_cdm
    Definition: perturbations.h:407
    -
    perturbs::index_tp_delta_g
    int index_tp_delta_g
    Definition: perturbations.h:280
    -
    perturbs::index_tp_t0
    int index_tp_t0
    Definition: perturbations.h:274
    -
    perturbs::size_scalar_perturbation_data
    int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_]
    Definition: perturbations.h:178
    -
    perturbs::index_tp_perturbed_recombination_delta_chi
    int index_tp_perturbed_recombination_delta_chi
    Definition: perturbations.h:290
    -
    perturb_vector::l_max_ncdm
    int * l_max_ncdm
    Definition: perturbations.h:431
    -
    perturbs::l_vector_max
    int l_vector_max
    Definition: perturbations.h:145
    -
    perturbs::has_source_theta_scf
    short has_source_theta_scf
    Definition: perturbations.h:257
    -
    perturbs::index_tp_h_prime
    int index_tp_h_prime
    Definition: perturbations.h:309
    -
    perturbs::has_source_delta_dr
    short has_source_delta_dr
    Definition: perturbations.h:247
    -
    perturb_sources_at_tau
    int perturb_sources_at_tau(struct perturbs *ppt, int index_md, int index_ic, int index_type, double tau, double *psource)
    Definition: perturbations.c:45
    -
    perturb_workspace::rho_plus_p_theta
    double rho_plus_p_theta
    Definition: perturbations.h:497
    -
    perturb_derivs
    int perturb_derivs(double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: perturbations.c:6889
    -
    perturbs::has_source_delta_cdm
    short has_source_delta_cdm
    Definition: perturbations.h:243
    -
    perturbs::index_tp_p
    int index_tp_p
    Definition: perturbations.h:277
    -
    perturbs::has_source_theta_dcdm
    short has_source_theta_dcdm
    Definition: perturbations.h:255
    -
    perturbs::md_size
    int md_size
    Definition: perturbations.h:214
    -
    perturbs::has_source_delta_m
    short has_source_delta_m
    Definition: perturbations.h:239
    -
    perturb_vector_init
    int perturb_vector_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, int index_md, int index_ic, double k, double tau, struct perturb_workspace *ppw, int *pa_old)
    Definition: perturbations.c:2998
    -
    perturbs::l_lss_max
    int l_lss_max
    Definition: perturbations.h:147
    -
    newtonian
    Definition: perturbations.h:57
    -
    perturb_parameters_and_workspace::k
    double k
    Definition: perturbations.h:582
    -
    perturb_workspace::index_ap_ufa
    int index_ap_ufa
    Definition: perturbations.h:548
    -
    perturb_workspace::rsa_delta_ur
    double rsa_delta_ur
    Definition: perturbations.h:508
    -
    perturbs::k_min
    double k_min
    Definition: perturbations.h:335
    -
    perturb_parameters_and_workspace::pth
    struct thermo * pth
    Definition: perturbations.h:577
    -
    perturb_parameters_and_workspace
    Definition: perturbations.h:573
    -
    perturbs::index_tp_t2
    int index_tp_t2
    Definition: perturbations.h:276
    -
    -
    - - - - diff --git a/doc/manual/html/perturbations_8h_structperturb__parameters__and__workspace.js b/doc/manual/html/perturbations_8h_structperturb__parameters__and__workspace.js deleted file mode 100644 index e50e026f..00000000 --- a/doc/manual/html/perturbations_8h_structperturb__parameters__and__workspace.js +++ /dev/null @@ -1,12 +0,0 @@ -var perturbations_8h_structperturb__parameters__and__workspace = -[ - [ "ppr", "perturbations_8h.html#a17f71fba9b472adef213e8c6894ff540", null ], - [ "pba", "perturbations_8h.html#a9068d5228c160afb65facc4e0ce1f5b2", null ], - [ "pth", "perturbations_8h.html#a28aaaec1a2f39ad6008b462fb9175ee3", null ], - [ "ppt", "perturbations_8h.html#a8301ae9bd8f2866ae57d990f1609ee73", null ], - [ "index_md", "perturbations_8h.html#aef765aac8cfbd4220e429d1bd5751178", null ], - [ "index_ic", "perturbations_8h.html#a7178258a45506d84676c9a5b3aca789b", null ], - [ "index_k", "perturbations_8h.html#a187fd102451e69edf20e7c671f46fa9a", null ], - [ "k", "perturbations_8h.html#adbd1437efd805fdc19bbf2ea57ee8a24", null ], - [ "ppw", "perturbations_8h.html#ac42880afe983fe35c6dec9349b3fe0bb", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h_structperturb__vector.js b/doc/manual/html/perturbations_8h_structperturb__vector.js deleted file mode 100644 index 1f2573c7..00000000 --- a/doc/manual/html/perturbations_8h_structperturb__vector.js +++ /dev/null @@ -1,47 +0,0 @@ -var perturbations_8h_structperturb__vector = -[ - [ "index_pt_delta_g", "perturbations_8h.html#a9fccbd67eed54ae6ba9d9b40cfa71bec", null ], - [ "index_pt_theta_g", "perturbations_8h.html#a21bdf09185252991804b7b0fbc33f9c1", null ], - [ "index_pt_shear_g", "perturbations_8h.html#ac6a6cbb08e570113979bf761f2bcd2aa", null ], - [ "index_pt_l3_g", "perturbations_8h.html#a1912c81c639e2bdbc2acae225218cfe1", null ], - [ "l_max_g", "perturbations_8h.html#ab38f5a833603c52dfbd1e221fc74fd6f", null ], - [ "index_pt_pol0_g", "perturbations_8h.html#a6c86cc5b9952ba3e57c1dd4718b5efb4", null ], - [ "index_pt_pol1_g", "perturbations_8h.html#ada9e2cf5f0295b39926a3951656aef37", null ], - [ "index_pt_pol2_g", "perturbations_8h.html#a373c2c3b94de9a8cc782a09cd412e770", null ], - [ "index_pt_pol3_g", "perturbations_8h.html#a15b4829ed1106821f597d88a7d11ae8f", null ], - [ "l_max_pol_g", "perturbations_8h.html#afbd657ef80ce568ac17ab39e0b784e98", null ], - [ "index_pt_delta_b", "perturbations_8h.html#a16fbcd88994a8cf9c7632ec1c9e4f553", null ], - [ "index_pt_theta_b", "perturbations_8h.html#a2dc4c948ae128a205c6b8cc30e9e35d0", null ], - [ "index_pt_delta_cdm", "perturbations_8h.html#a2d0672d9810af281bbd57dd8e0bc45e0", null ], - [ "index_pt_theta_cdm", "perturbations_8h.html#ae3f3ac985682910540fba1c28e31a646", null ], - [ "index_pt_delta_dcdm", "perturbations_8h.html#af76d96d0fff10c8d2d82db168fbb3178", null ], - [ "index_pt_theta_dcdm", "perturbations_8h.html#a0e5b783604c49ed75aef9f4236dcfbc4", null ], - [ "index_pt_delta_fld", "perturbations_8h.html#a2ba29ae12a6e302ce402414725e33789", null ], - [ "index_pt_theta_fld", "perturbations_8h.html#ac9a5e67be69b5f0e5e9b989955d83cc6", null ], - [ "index_pt_Gamma_fld", "perturbations_8h.html#a1c321640393390c1a9939892074a1a90", null ], - [ "index_pt_phi_scf", "perturbations_8h.html#a3ee8bc8b3b99653b7df06d7752fe946d", null ], - [ "index_pt_phi_prime_scf", "perturbations_8h.html#a3302f70bf8b89c982fa60399e7f54114", null ], - [ "index_pt_delta_ur", "perturbations_8h.html#a5a0627cf3b3a1c743cac4e3264444c3a", null ], - [ "index_pt_theta_ur", "perturbations_8h.html#a8f7caa6398b77370356e74a206c00ba7", null ], - [ "index_pt_shear_ur", "perturbations_8h.html#abad5caed26511fe4cc94451a96a1f616", null ], - [ "index_pt_l3_ur", "perturbations_8h.html#a4ab672f9859787035b3d215b71c79e20", null ], - [ "l_max_ur", "perturbations_8h.html#a649fe7e6f920b4e38e3493afb8c6be53", null ], - [ "index_pt_perturbed_recombination_delta_temp", "perturbations_8h.html#a04c1e6b465288d441563913845925aa5", null ], - [ "index_pt_perturbed_recombination_delta_chi", "perturbations_8h.html#ad4be8bbad446bb04f8db2a23b2dec459", null ], - [ "index_pt_F0_dr", "perturbations_8h.html#a74e3f73cec03550a244e58d6af7e450e", null ], - [ "l_max_dr", "perturbations_8h.html#a72b6b3130896f7fcdd829c7676223cb9", null ], - [ "index_pt_psi0_ncdm1", "perturbations_8h.html#aa3cfdd79a1b2f1c29d9f6cac9dede623", null ], - [ "N_ncdm", "perturbations_8h.html#a0870c2e067fb72bfcc200d67c7adaef4", null ], - [ "l_max_ncdm", "perturbations_8h.html#af24b3c2e1771277747b62680ec882bdd", null ], - [ "q_size_ncdm", "perturbations_8h.html#a58a4842cf68d427a5d374729a635f93e", null ], - [ "index_pt_eta", "perturbations_8h.html#a12b3bd7ce80d457b497946a1de670541", null ], - [ "index_pt_phi", "perturbations_8h.html#afede46f1464b28b09cb6ab93a7aab972", null ], - [ "index_pt_hv_prime", "perturbations_8h.html#a78ce21034b6fa10987efc528243fcc78", null ], - [ "index_pt_V", "perturbations_8h.html#a80aa943cbbbf4c8e11ac11aea02cf8e3", null ], - [ "index_pt_gw", "perturbations_8h.html#ab2097add2b90dc15c796f3e1d0fd3444", null ], - [ "index_pt_gwdot", "perturbations_8h.html#a449e8d1b51d78fb4fd2b742c015680ac", null ], - [ "pt_size", "perturbations_8h.html#a35fbda8bef49fdcc7cc303c576369e6d", null ], - [ "y", "perturbations_8h.html#af05dcb0f0d9c579ef53ef0d6c65f2709", null ], - [ "dy", "perturbations_8h.html#aa5479285a85767454622c410b11c6e78", null ], - [ "used_in_sources", "perturbations_8h.html#ac1adc34595e1056ccab21d3b9bf35703", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h_structperturb__workspace.js b/doc/manual/html/perturbations_8h_structperturb__workspace.js deleted file mode 100644 index c32dd1cc..00000000 --- a/doc/manual/html/perturbations_8h_structperturb__workspace.js +++ /dev/null @@ -1,55 +0,0 @@ -var perturbations_8h_structperturb__workspace = -[ - [ "index_mt_psi", "perturbations_8h.html#afd5c92d56c1124dc8840a0cf6cb39ee6", null ], - [ "index_mt_phi_prime", "perturbations_8h.html#a7bd0187d2d946e64bc133778b8084fec", null ], - [ "index_mt_h_prime", "perturbations_8h.html#a9225f59a88f96be135afa7ce4d755f87", null ], - [ "index_mt_h_prime_prime", "perturbations_8h.html#a3a7020dd7dc5fcdb878474a6cd2ea444", null ], - [ "index_mt_eta_prime", "perturbations_8h.html#a666f67b8d64977fbf65f038bd19f2d46", null ], - [ "index_mt_alpha", "perturbations_8h.html#aa103c49393b1dbb937e4a7b0f8d7cffa", null ], - [ "index_mt_alpha_prime", "perturbations_8h.html#aed8cdddd960da687b6792a55c205e9c0", null ], - [ "index_mt_gw_prime_prime", "perturbations_8h.html#a87310f6e5353ddaa5b49d46e0c736f9e", null ], - [ "index_mt_V_prime", "perturbations_8h.html#a92ca15273b436bda7a5da46e8418b7c3", null ], - [ "index_mt_hv_prime_prime", "perturbations_8h.html#a916ecd103081eb721650f1e8c663df3a", null ], - [ "mt_size", "perturbations_8h.html#adac9de5f30d729bfd93d63581605842f", null ], - [ "pvecback", "perturbations_8h.html#a048ea8307d1fdd3c9ee023ca4c6945ff", null ], - [ "pvecthermo", "perturbations_8h.html#afb6929391bdf3aa1206062c8e925f3e9", null ], - [ "pvecmetric", "perturbations_8h.html#aa7f41a5175674a0dc03fcd11bcc30ef5", null ], - [ "pv", "perturbations_8h.html#a130122fc65ddb422b2c46dca09ddab85", null ], - [ "delta_rho", "perturbations_8h.html#a313fc9485defc5c8c69ec3080eba1647", null ], - [ "rho_plus_p_theta", "perturbations_8h.html#a50e1b9cd712157932986c50aff9580ab", null ], - [ "rho_plus_p_shear", "perturbations_8h.html#a946fe20b37bcf2a2fc486653536c2a7c", null ], - [ "delta_p", "perturbations_8h.html#a17e85624d4131c4e4c99bd57f883c416", null ], - [ "gw_source", "perturbations_8h.html#ada07e385e7572811616e675d5b4ff7e3", null ], - [ "vector_source_pi", "perturbations_8h.html#a343d3b6cb243722f1b44ec356c9fba4f", null ], - [ "vector_source_v", "perturbations_8h.html#ac90a6f855cb1d321f5a0854cf7286b15", null ], - [ "tca_shear_g", "perturbations_8h.html#af4e5854dfbe360ddad1771faf9234634", null ], - [ "tca_slip", "perturbations_8h.html#a7c66a8c54bdc71f2834c86d6b411aadf", null ], - [ "rsa_delta_g", "perturbations_8h.html#a5eadd3c9e5003c0f74938558a27e5a6d", null ], - [ "rsa_theta_g", "perturbations_8h.html#a10c5f26e6edc53181ede1523452cb094", null ], - [ "rsa_delta_ur", "perturbations_8h.html#a76927bc85dc14425c845a47cdc629ebe", null ], - [ "rsa_theta_ur", "perturbations_8h.html#a97023d902661a7b160ad6ffa547825ae", null ], - [ "delta_ncdm", "perturbations_8h.html#a05a19b2b3597d8b717569b3d22969921", null ], - [ "theta_ncdm", "perturbations_8h.html#a972970d25d99cd326512512864d8dd71", null ], - [ "shear_ncdm", "perturbations_8h.html#a2eddf1e8180bec09e4dfdc9431f325c0", null ], - [ "delta_m", "perturbations_8h.html#ae531e6d411f7f9dc56e39d3d3cc09b4a", null ], - [ "theta_m", "perturbations_8h.html#aca8d43e66e75be956a00a410ccf2cf10", null ], - [ "delta_cb", "perturbations_8h.html#a897f5b42ffea7a51e4516dcf37af018f", null ], - [ "theta_cb", "perturbations_8h.html#a17e489d57102234b09ff12d15a4f8db8", null ], - [ "delta_rho_fld", "perturbations_8h.html#a1ff232ab9972a00e7d7a6555a273e3ff", null ], - [ "rho_plus_p_theta_fld", "perturbations_8h.html#a25bc2272bfc81d102eedaf2190c41a1f", null ], - [ "S_fld", "perturbations_8h.html#a0f7a31f3e3545c35d86d5c8df320960b", null ], - [ "Gamma_prime_fld", "perturbations_8h.html#a2a4ed53c8fbbb42d8b1e451584a7672c", null ], - [ "perturb_output_file", "perturbations_8h.html#af2087e01157ae877d2b6a0dac6bc1ff6", null ], - [ "index_ikout", "perturbations_8h.html#abb4235fd40baf5fb02e7128325102d93", null ], - [ "inter_mode", "perturbations_8h.html#aaba43ee6c3ca3b5166b6b822979c744d", null ], - [ "last_index_back", "perturbations_8h.html#a6ae91653132c6e0df1918de791dec37a", null ], - [ "last_index_thermo", "perturbations_8h.html#a73236fa830a3ded2ce3eea0ca235d18b", null ], - [ "index_ap_tca", "perturbations_8h.html#a280d268cf43e9d220d3998461b60db18", null ], - [ "index_ap_rsa", "perturbations_8h.html#a92d79a0a551fd1771a89970e4bee87e5", null ], - [ "index_ap_ufa", "perturbations_8h.html#a18dae1f9da2c3bf3d5922e4cf0687c2f", null ], - [ "index_ap_ncdmfa", "perturbations_8h.html#a78eb21d11cdb29b5c2015fdaa6da16d7", null ], - [ "ap_size", "perturbations_8h.html#a050a117be6aa873a44c029a6f5a484e2", null ], - [ "approx", "perturbations_8h.html#a8ac1b55117b14d0530bc6789f2815fc0", null ], - [ "max_l_max", "perturbations_8h.html#a96761f7981d819dc36e4c799c421b895", null ], - [ "s_l", "perturbations_8h.html#a129ee76252bf13414449dc5400e16785", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/perturbations_8h_structperturbs.js b/doc/manual/html/perturbations_8h_structperturbs.js deleted file mode 100644 index 058cc5f6..00000000 --- a/doc/manual/html/perturbations_8h_structperturbs.js +++ /dev/null @@ -1,166 +0,0 @@ -var perturbations_8h_structperturbs = -[ - [ "has_perturbations", "perturbations_8h.html#a76a9f8c71d5a0b77fb5b9a4fad4c2ff0", null ], - [ "has_cls", "perturbations_8h.html#a4b6be6c87262b8b7ee49b5addb252c75", null ], - [ "has_scalars", "perturbations_8h.html#ad29f0bad04ea77581fe3b0ce7ac1443e", null ], - [ "has_vectors", "perturbations_8h.html#ad0fe110b40dede9e160b80414ab8f036", null ], - [ "has_tensors", "perturbations_8h.html#a7a82f6ff4026b7ffae9ba1b982824d0a", null ], - [ "has_ad", "perturbations_8h.html#ae148066fea5dcba2bdc1b967983c1655", null ], - [ "has_bi", "perturbations_8h.html#a7e303e23b8b2d1585838a3c7c7dcfced", null ], - [ "has_cdi", "perturbations_8h.html#a0ec625da77600b644aebf1aa88aacb82", null ], - [ "has_nid", "perturbations_8h.html#a607fe60ba4626c17d5b916e58c309929", null ], - [ "has_niv", "perturbations_8h.html#a745628908c03bfc4e2be3a5ef5e8415f", null ], - [ "has_perturbed_recombination", "perturbations_8h.html#a128215104a97772266e2a91e6df1a20d", null ], - [ "tensor_method", "perturbations_8h.html#a712b8a16ff3e93dd7a864863798117f1", null ], - [ "evolve_tensor_ur", "perturbations_8h.html#a08587660d0693d074671e86df628e4f2", null ], - [ "evolve_tensor_ncdm", "perturbations_8h.html#adcaa3d85397351a0151065346f00b3d6", null ], - [ "has_cl_cmb_temperature", "perturbations_8h.html#a3ea461ead5cd72fa0bb140c8cff2a288", null ], - [ "has_cl_cmb_polarization", "perturbations_8h.html#a3f75b0cf00fd2e7ca1998c21b3b1a90a", null ], - [ "has_cl_cmb_lensing_potential", "perturbations_8h.html#ac7a36a1715ef65246af629c337a4805d", null ], - [ "has_cl_lensing_potential", "perturbations_8h.html#a9ff9cda3bda5ddfdd50625a9278f489f", null ], - [ "has_cl_number_count", "perturbations_8h.html#a9e92b8cbf2e35f695728171a99dbcc25", null ], - [ "has_pk_matter", "perturbations_8h.html#aa1ab742c10712d5bd5e3bf8e9c038f35", null ], - [ "has_density_transfers", "perturbations_8h.html#a66bf493f8b2c0ba1a325b0515c8016f1", null ], - [ "has_velocity_transfers", "perturbations_8h.html#ad5bbee359d1ac8e84472727dfb292ca8", null ], - [ "has_metricpotential_transfers", "perturbations_8h.html#ad5176409e6b4a40f2bd6e0941778b433", null ], - [ "has_nl_corrections_based_on_delta_m", "perturbations_8h.html#a9d4ef4638ee4a3b4b8b9ecc1c6ffea34", null ], - [ "has_nc_density", "perturbations_8h.html#a8f31b55e477131b930ec0ab420f07ae8", null ], - [ "has_nc_rsd", "perturbations_8h.html#a1a4321650e9b7ca6188aee55641442d3", null ], - [ "has_nc_lens", "perturbations_8h.html#a0dac978b624796b77ef2524fb5684219", null ], - [ "has_nc_gr", "perturbations_8h.html#a884ac3cb3b6f0df6526dfbb12aedcc68", null ], - [ "l_scalar_max", "perturbations_8h.html#ad19bfcf5857798364cb337aab0c2fb49", null ], - [ "l_vector_max", "perturbations_8h.html#adf0c33089ac34f54a868c9b4e518c64f", null ], - [ "l_tensor_max", "perturbations_8h.html#af1e8d93c8aaa9afee5da056bcb76f306", null ], - [ "l_lss_max", "perturbations_8h.html#ad95d62365638e07da1067ec11509a267", null ], - [ "k_max_for_pk", "perturbations_8h.html#a7285baae346f8cd9bf3c09b2d2cd0f68", null ], - [ "selection_num", "perturbations_8h.html#a08050531f58de31cac59e09124086850", null ], - [ "selection", "perturbations_8h.html#a00e91b6006fe4ea67077912d33de963f", null ], - [ "selection_mean", "perturbations_8h.html#a15266631124718cca6821507137c3561", null ], - [ "selection_width", "perturbations_8h.html#aef03a65543c73fb8f799634102d2282a", null ], - [ "switch_sw", "perturbations_8h.html#a199e4dbbc87155594fe3b83763a218c4", null ], - [ "switch_eisw", "perturbations_8h.html#a1dc92b0ea1e1697136d425ea7b89c497", null ], - [ "switch_lisw", "perturbations_8h.html#aab57ee8522cd9a166488c2fccf0e755f", null ], - [ "switch_dop", "perturbations_8h.html#abe694a40defa5339ae8c8383f6964266", null ], - [ "switch_pol", "perturbations_8h.html#a3ac5aa07b40b40cae1f7251ad97b00e3", null ], - [ "eisw_lisw_split_z", "perturbations_8h.html#aff6edf3e9eb24778b98c0ff9d71b3430", null ], - [ "store_perturbations", "perturbations_8h.html#a1483a03e8c2e932e15b52faf1511242b", null ], - [ "k_output_values_num", "perturbations_8h.html#ade6a029d5354ed2f317951009edc55e0", null ], - [ "k_output_values", "perturbations_8h.html#a88b5ec9a18e294c2e9e1b0c4b9846d46", null ], - [ "index_k_output_values", "perturbations_8h.html#ae00f9b481983465f4d9c648e1ad03d11", null ], - [ "scalar_titles", "perturbations_8h.html#adbd051adf5743feaa54044ccf86704fc", null ], - [ "vector_titles", "perturbations_8h.html#ad346c561d3a5cab6954d377addd4eca6", null ], - [ "tensor_titles", "perturbations_8h.html#acc83561789c24022fcfc2ea6e88bd71c", null ], - [ "number_of_scalar_titles", "perturbations_8h.html#a6fbc7c6b0ac2d6174553e8f3ab1cec20", null ], - [ "number_of_vector_titles", "perturbations_8h.html#a160f6bde2eebbe55f15790b995a4902d", null ], - [ "number_of_tensor_titles", "perturbations_8h.html#a90eb42b47485bf70870f9917f54cd68f", null ], - [ "scalar_perturbations_data", "perturbations_8h.html#a1a2bfc4df2d4d591556c4dcb7a605ee7", null ], - [ "vector_perturbations_data", "perturbations_8h.html#ad347127b5921dbbbbeb8c3170f54683b", null ], - [ "tensor_perturbations_data", "perturbations_8h.html#a5c9a43967b969b1ad0e33cc0252c0172", null ], - [ "size_scalar_perturbation_data", "perturbations_8h.html#ad60d11a36d328dedd1b02871e6b8f2d1", null ], - [ "size_vector_perturbation_data", "perturbations_8h.html#a117d7e63ef4287a8bf785057fc81c6f8", null ], - [ "size_tensor_perturbation_data", "perturbations_8h.html#acac6423c3019d7802de6587088cfc7d5", null ], - [ "three_ceff2_ur", "perturbations_8h.html#ae90af9982f704a6721ae666a704a6a27", null ], - [ "three_cvis2_ur", "perturbations_8h.html#a79d2eb891a76814cb315beb27ddf3ed7", null ], - [ "z_max_pk", "perturbations_8h.html#a2d72e5b17cdc85ac301e50c3835d1311", null ], - [ "has_cmb", "perturbations_8h.html#a65e30cbbedca0bcdd633e028481a9a8d", null ], - [ "has_lss", "perturbations_8h.html#a793d6ea21df1d0c1ac395b7cb0ccb286", null ], - [ "gauge", "perturbations_8h.html#a8393f374d4a6623e0a7d3316d2320093", null ], - [ "index_md_scalars", "perturbations_8h.html#a32c10dde8e52db3d69cec5474c23ae9c", null ], - [ "index_md_tensors", "perturbations_8h.html#affb2ab5653ec3a5c1bd4f18829034f62", null ], - [ "index_md_vectors", "perturbations_8h.html#acfb714cadd0c7353ee1f574c6b978f60", null ], - [ "md_size", "perturbations_8h.html#a0b02540b63842769707585822981dabd", null ], - [ "index_ic_ad", "perturbations_8h.html#a17d9ef49c94d978612bfe815218d4f44", null ], - [ "index_ic_cdi", "perturbations_8h.html#a5736784d0ec9639c02085acea8fb748c", null ], - [ "index_ic_bi", "perturbations_8h.html#a8623cf4d1ce03a7239582caab0d21a37", null ], - [ "index_ic_nid", "perturbations_8h.html#a6a16192fc67d2118a2d2481c6ac4bda5", null ], - [ "index_ic_niv", "perturbations_8h.html#a9d40d85d9fd65bd8d949467ea8a37f43", null ], - [ "index_ic_ten", "perturbations_8h.html#a400534882269fef5a058590d43bdb594", null ], - [ "ic_size", "perturbations_8h.html#a9f1f66e82459aec9e7cbba63e2f80dca", null ], - [ "has_source_t", "perturbations_8h.html#ab5ef146b01c6b2757d1c49f6c05d466a", null ], - [ "has_source_p", "perturbations_8h.html#a7b65eee1d2324cc54ba5b41b3aa92f9b", null ], - [ "has_source_delta_m", "perturbations_8h.html#a9d3e2eefcdeba35cb04b8ddeefc93138", null ], - [ "has_source_delta_cb", "perturbations_8h.html#a7a99fbd4d9c4e33b71c2c6a771429edf", null ], - [ "has_source_delta_g", "perturbations_8h.html#a22574f78bf9e6ef7fecea7163ce014fd", null ], - [ "has_source_delta_b", "perturbations_8h.html#a41c758549328599f8d76f751b0c03ba5", null ], - [ "has_source_delta_cdm", "perturbations_8h.html#a0e98b3d1c062f672173c4fead449b1d2", null ], - [ "has_source_delta_dcdm", "perturbations_8h.html#a7c73cc67a9335713544b8204a626dfbf", null ], - [ "has_source_delta_fld", "perturbations_8h.html#af240e3b045dcef6d9daffae34299f022", null ], - [ "has_source_delta_scf", "perturbations_8h.html#a133c59b3c501eae1b39618dc7858fadb", null ], - [ "has_source_delta_dr", "perturbations_8h.html#a57a2335d0cf53db60ace61d6ea463b91", null ], - [ "has_source_delta_ur", "perturbations_8h.html#a37ad2e728883cded1fd1049b85280ca0", null ], - [ "has_source_delta_ncdm", "perturbations_8h.html#a8b736b4d86cf75cd0e3e659fa366e471", null ], - [ "has_source_theta_m", "perturbations_8h.html#a0fb2447711f3ded5eab62d1a6cddc36a", null ], - [ "has_source_theta_cb", "perturbations_8h.html#a810e72671bb00eba25d16496f01d24c0", null ], - [ "has_source_theta_g", "perturbations_8h.html#a4fefb7e583efc7cb8be65dff695f52e0", null ], - [ "has_source_theta_b", "perturbations_8h.html#af3ea9a0f4b4c292d2ffd9dd341c3b780", null ], - [ "has_source_theta_cdm", "perturbations_8h.html#aab541b354516fcd9da0afcb26a9fed2f", null ], - [ "has_source_theta_dcdm", "perturbations_8h.html#adda35d646eba2eabc09a21861effb845", null ], - [ "has_source_theta_fld", "perturbations_8h.html#a7844fa1f1b92db322eae436fc0ff8c32", null ], - [ "has_source_theta_scf", "perturbations_8h.html#acfb91ecfbe6dafb7458fbd04d5a79df0", null ], - [ "has_source_theta_dr", "perturbations_8h.html#ae2d6794a43a4934ac736d15047118231", null ], - [ "has_source_theta_ur", "perturbations_8h.html#a3723f0c782ffe5035d3bc7291468bfba", null ], - [ "has_source_theta_ncdm", "perturbations_8h.html#ad2fc382c6e6b9d6ac7b780affef29e95", null ], - [ "has_source_phi", "perturbations_8h.html#a686c1976504816fe3e84e3957acf0316", null ], - [ "has_source_phi_prime", "perturbations_8h.html#a036eb0ecd1038d981a9a87f70ac63b47", null ], - [ "has_source_phi_plus_psi", "perturbations_8h.html#a8308ff9d94f659b8a55af4c5a27d02ac", null ], - [ "has_source_psi", "perturbations_8h.html#a8796782640ad93da21f21a8d983a30f5", null ], - [ "has_source_h", "perturbations_8h.html#ae3887f5812704c606eb8d147088d628c", null ], - [ "has_source_h_prime", "perturbations_8h.html#ad4c8e3aee17aa66c1ec6575b8375a22b", null ], - [ "has_source_eta", "perturbations_8h.html#a3d7242ad3ae11205ae3c470f77291207", null ], - [ "has_source_eta_prime", "perturbations_8h.html#ae0e7f9472967ca42f7b950774bd57a5a", null ], - [ "index_tp_t0", "perturbations_8h.html#a8d6dc81e807a29b225351e78fe3b8fb8", null ], - [ "index_tp_t1", "perturbations_8h.html#a864700a9a436ac557480a50fd892bf09", null ], - [ "index_tp_t2", "perturbations_8h.html#ac3a019d980669a3707024d0bab0bbe08", null ], - [ "index_tp_p", "perturbations_8h.html#a43d325743be535b467e03ff4d9ea4c28", null ], - [ "index_tp_delta_m", "perturbations_8h.html#adbbf153660c784306f5fa3af92d17e33", null ], - [ "index_tp_delta_cb", "perturbations_8h.html#ad38f547552787d04ac4900ecaf4cea49", null ], - [ "index_tp_delta_g", "perturbations_8h.html#ac80f779218baec8dc92d98d4c5cf6972", null ], - [ "index_tp_delta_b", "perturbations_8h.html#a2e9886cc801817d3bac3756c9dff2956", null ], - [ "index_tp_delta_cdm", "perturbations_8h.html#a390364744a1825a6b09960cb30d222d4", null ], - [ "index_tp_delta_dcdm", "perturbations_8h.html#a58a017ada7b24e71360614a95ec12596", null ], - [ "index_tp_delta_fld", "perturbations_8h.html#a924d7a53f6216d0482936475b910c1f5", null ], - [ "index_tp_delta_scf", "perturbations_8h.html#a0f4addf27747d9cbc0e90ad1e0bb061c", null ], - [ "index_tp_delta_dr", "perturbations_8h.html#a8c907df1d7189d3bc93106fdf8422f61", null ], - [ "index_tp_delta_ur", "perturbations_8h.html#afd6370787dbee9f6919da39be926cc10", null ], - [ "index_tp_delta_ncdm1", "perturbations_8h.html#a96eaf8b998b28740a0ea476112be7d86", null ], - [ "index_tp_perturbed_recombination_delta_temp", "perturbations_8h.html#a715e0afeecf2fa221d2a8a650f12b1e5", null ], - [ "index_tp_perturbed_recombination_delta_chi", "perturbations_8h.html#a9636c896c5a6691587e3bd2ebd505974", null ], - [ "index_tp_theta_m", "perturbations_8h.html#a1dd3e727356402d4baf9f3abc20c86ea", null ], - [ "index_tp_theta_cb", "perturbations_8h.html#a4d2106453b72063fbaeef41597027253", null ], - [ "index_tp_theta_g", "perturbations_8h.html#a2615c76bb30b34641da17d74d52bf3b4", null ], - [ "index_tp_theta_b", "perturbations_8h.html#a00a3cdc4ff74fc45589f28b508c382a0", null ], - [ "index_tp_theta_cdm", "perturbations_8h.html#aef71b1e3db72baf6c73dcb469d70453a", null ], - [ "index_tp_theta_dcdm", "perturbations_8h.html#aa617e2c18e69ad242f06294ecbb06e07", null ], - [ "index_tp_theta_fld", "perturbations_8h.html#a4490babdc0c840cbd63f26f04bafa85a", null ], - [ "index_tp_theta_scf", "perturbations_8h.html#a68cb6482805e9a870d46f9db5056f8d3", null ], - [ "index_tp_theta_ur", "perturbations_8h.html#a4fc5cc46eb27ad74118486f352742829", null ], - [ "index_tp_theta_dr", "perturbations_8h.html#a14e96255c89bc37a4e7e28ef49abbad5", null ], - [ "index_tp_theta_ncdm1", "perturbations_8h.html#ae6d1d898b091264a89215ec5a5411a70", null ], - [ "index_tp_phi", "perturbations_8h.html#a71ea87a37f3b09e2d28aba67a5e66585", null ], - [ "index_tp_phi_prime", "perturbations_8h.html#a9a73df8c478505e6d75f997983cf0d4b", null ], - [ "index_tp_phi_plus_psi", "perturbations_8h.html#a82d9516eadb38b898d7e9730c6960347", null ], - [ "index_tp_psi", "perturbations_8h.html#ab3575e2b7daeb42dda99cd0e4e6c3a2f", null ], - [ "index_tp_h", "perturbations_8h.html#a5bc0966909b26088dc11c9c7ba6bee50", null ], - [ "index_tp_h_prime", "perturbations_8h.html#a4e5aa7c5efdfa9c3e0ba3ebb0f1a6cc8", null ], - [ "index_tp_eta", "perturbations_8h.html#a9a310b516dfff671a0360a1131aa73ee", null ], - [ "index_tp_eta_prime", "perturbations_8h.html#ae75a3948e5a454efebbbf71763e10ce4", null ], - [ "tp_size", "perturbations_8h.html#a576dd20e63a5f84ffd1309c6be97a364", null ], - [ "k_size_cmb", "perturbations_8h.html#a186e24b1748420d3d66d3fa9c15d1a54", null ], - [ "k_size_cl", "perturbations_8h.html#ab933faf685c21519d39707e39c2684c7", null ], - [ "k_size", "perturbations_8h.html#abdd65bae5df178b9882fd8089a934aca", null ], - [ "k", "perturbations_8h.html#a0fee08ef9309738309b6e2c654fd9b81", null ], - [ "k_min", "perturbations_8h.html#a2efabcc7ceb38767671e282da56e7331", null ], - [ "k_max", "perturbations_8h.html#aa6fbc9ffce88dd7b66a6e797df710a58", null ], - [ "tau_size", "perturbations_8h.html#a67c386309ed51644f43b4545c4e067bd", null ], - [ "tau_sampling", "perturbations_8h.html#a0b470ea24cec696c098942196d2ebaff", null ], - [ "selection_min_of_tau_min", "perturbations_8h.html#a78cf18bd2e4c80bbd6d99b56bcd1ea30", null ], - [ "selection_max_of_tau_max", "perturbations_8h.html#af787d16ae2f9fa435086b20cef8b9e55", null ], - [ "selection_delta_tau", "perturbations_8h.html#acaa07d9842764604a4ffe12f73ac995a", null ], - [ "selection_tau_min", "perturbations_8h.html#a6c18697e5b2e4dff3c9aaeeb1019d0b2", null ], - [ "selection_tau_max", "perturbations_8h.html#aff391c3d002d7541fe6555fc46b1dd9f", null ], - [ "selection_tau", "perturbations_8h.html#a2b1aa6f687bc7286a2bb5cb4ca52dbbc", null ], - [ "selection_function", "perturbations_8h.html#afac4535c3b63cb278f210e0b558adc1f", null ], - [ "sources", "perturbations_8h.html#acd16a64ce2ee46c45b7b4682ba3fc35d", null ], - [ "perturbations_verbose", "perturbations_8h.html#ab3cac22c75f2edc18a8b12c985c942f3", null ], - [ "error_message", "perturbations_8h.html#a16c8ca2b0bcad20402f8f805589f48bb", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/primordial_8c.html b/doc/manual/html/primordial_8c.html deleted file mode 100644 index 0ee2df9d..00000000 --- a/doc/manual/html/primordial_8c.html +++ /dev/null @@ -1,1518 +0,0 @@ - - - - - - - -CLASS MANUAL: primordial.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    primordial.c File Reference
    -
    -
    -
    #include "primordial.h"
    -
    - + Include dependency graph for primordial.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int primordial_spectrum_at_k (struct primordial *ppm, int index_md, enum linear_or_logarithmic mode, double input, double *output)
     
    int primordial_init (struct precision *ppr, struct perturbs *ppt, struct primordial *ppm)
     
    int primordial_free (struct primordial *ppm)
     
    int primordial_indices (struct perturbs *ppt, struct primordial *ppm)
     
    int primordial_get_lnk_list (struct primordial *ppm, double kmin, double kmax, double k_per_decade)
     
    int primordial_analytic_spectrum_init (struct perturbs *ppt, struct primordial *ppm)
     
    int primordial_analytic_spectrum (struct primordial *ppm, int index_md, int index_ic1_ic2, double k, double *pk)
     
    int primordial_inflation_potential (struct primordial *ppm, double phi, double *V, double *dV, double *ddV)
     
    int primordial_inflation_hubble (struct primordial *ppm, double phi, double *H, double *dH, double *ddH, double *dddH)
     
    int primordial_inflation_indices (struct primordial *ppm)
     
    int primordial_inflation_solve_inflation (struct perturbs *ppt, struct primordial *ppm, struct precision *ppr)
     
    int primordial_inflation_analytic_spectra (struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini)
     
    int primordial_inflation_spectra (struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini)
     
    int primordial_inflation_one_wavenumber (struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini, int index_k)
     
    int primordial_inflation_one_k (struct primordial *ppm, struct precision *ppr, double k, double *y, double *dy, double *curvature, double *tensor)
     
    int primordial_inflation_find_attractor (struct primordial *ppm, struct precision *ppr, double phi_0, double precision, double *y, double *dy, double *H_0, double *dphidt_0)
     
    int primordial_inflation_evolve_background (struct primordial *ppm, struct precision *ppr, double *y, double *dy, enum target_quantity target, double stop, short check_epsilon, enum integration_direction direction, enum time_definition time)
     
    int primordial_inflation_check_potential (struct primordial *ppm, double phi, double *V, double *dV, double *ddV)
     
    int primordial_inflation_check_hubble (struct primordial *ppm, double phi, double *H, double *dH, double *ddH, double *dddH)
     
    int primordial_inflation_get_epsilon (struct primordial *ppm, double phi, double *epsilon)
     
    int primordial_inflation_find_phi_pivot (struct primordial *ppm, struct precision *ppr, double *y, double *dy)
     
    int primordial_inflation_derivs (double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
     
    int primordial_external_spectrum_init (struct perturbs *ppt, struct primordial *ppm)
     
    -

    Detailed Description

    -

    Documented primordial module.

    -

    Julien Lesgourgues, 24.08.2010

    -

    This module computes the primordial spectra. It can be used in different modes: simple parametric form, evolving inflaton perturbations, etc. So far only the mode corresponding to a simple analytic form in terms of amplitudes, tilts and runnings has been developed.

    -

    The following functions can be called from other modules:

    -
      -
    1. primordial_init() at the beginning (anytime after perturb_init() and before spectra_init())
      2. -
    2. primordial_spectrum_at_k() at any time for computing P(k) at any k
      3. -
    3. primordial_free() at the end
      4. -
    -

    Function Documentation

    - -

    ◆ primordial_spectrum_at_k()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_spectrum_at_k (struct primordial * ppm,
    int index_md,
    enum linear_or_logarithmic mode,
    double input,
    double * output 
    )
    -
    -

    Primordial spectra for arbitrary argument and for all initial conditions.

    -

    This routine evaluates the primordial spectrum at a given value of k by interpolating in the pre-computed table.

    -

    When k is not in the pre-computed range but the spectrum can be found analytically, it finds it. Otherwise returns an error.

    -

    Can be called in two modes; linear or logarithmic:

    -
      -
    • linear: takes k, returns P(k)
      • -
    • logarithmic: takes ln(k), return ln(P(k))
      • -
    -

    One little subtlety: in case of several correlated initial conditions, the cross-correlation spectrum can be negative. Then, in logarithmic mode, the non-diagonal elements contain the cross-correlation angle $ P_{12}/\sqrt{P_{11} P_{22}}$ (from -1 to 1) instead of $\ln{P_{12}}$

    -

    This function can be called from whatever module at whatever time, provided that primordial_init() has been called before, and primordial_free() has not been called yet.

    -
    Parameters
    - - - - - - -
    ppmInput: pointer to primordial structure containing tabulated primordial spectrum
    index_mdInput: index of mode (scalar, tensor, ...)
    modeInput: linear or logarithmic
    inputInput: wavenumber in 1/Mpc (linear mode) or its logarithm (logarithmic mode)
    outputOutput: for each pair of initial conditions, primordial spectra P(k) in $Mpc^3$ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • infer ln(k) from input. In linear mode, reject negative value of input k value.
      • -
    • if ln(k) is not in the interpolation range, return an error, unless we are in the case of a analytic spectrum, for which a direct computation is possible
      • -
    • otherwise, interpolate in the pre-computed table
      • -
    - -
    -
    - -

    ◆ primordial_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_init (struct precision * ppr,
    struct perturbs * ppt,
    struct primordial * ppm 
    )
    -
    -

    This routine initializes the primordial structure (in particular, it computes table of primordial spectrum values)

    -
    Parameters
    - - - - -
    pprInput: pointer to precision structure (defines method and precision for all computations)
    pptInput: pointer to perturbation structure (useful for knowing k_min, k_max, etc.)
    ppmOutput: pointer to initialized primordial structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check that we really need to compute the primordial spectra
      • -
    • get kmin and kmax from perturbation structure. Test that they make sense.
      • -
    • allocate and fill values of $ \ln{k}$'s
      • -
    • define indices and allocate tables in primordial structure
      • -
    • deal with case of analytic primordial spectra (with amplitudes, tilts, runnings, etc.)
      • -
    • deal with case of inflation with given $V(\phi)$ or $H(\phi)$
      • -
    • deal with the case of external calculation of $ P_k $
      • -
    • compute second derivative of each $ \ln{P_k} $ versus lnk with spline, in view of interpolation
      • -
    • derive spectral parameters from numerically computed spectra (not used by the rest of the code, but useful to keep in memory for several types of investigation)
      • -

    • expression for alpha_s comes from:

      -

      ns_2 = (lnpk_plus-lnpk_pivot)/(dlnk)+1

      -

      ns_1 = (lnpk_pivot-lnpk_minus)/(dlnk)+1

      -

      alpha_s = dns/dlnk = (ns_2-ns_1)/dlnk = (lnpk_plus-lnpk_pivot-lnpk_pivot+lnpk_minus)/(dlnk)/(dlnk)

      -
      • -

    • expression for beta_s:

      -

      ppm->beta_s = (alpha_plus-alpha_minus)/dlnk = (lnpk_plusplus-2.*lnpk_plus+lnpk_pivot - (lnpk_pivot-2.*lnpk_minus+lnpk_minusminus)/pow(dlnk,3)

      -
      • -
    - -
    -
    - -

    ◆ primordial_free()

    - -
    -
    - - - - - - - - -
    int primordial_free (struct primordial * ppm)
    -
    -

    This routine frees all the memory space allocated by primordial_init().

    -

    To be called at the end of each run.

    -
    Parameters
    - - -
    ppmInput: pointer to primordial structure (which fields must be freed)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_indices()

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    int primordial_indices (struct perturbs * ppt,
    struct primordial * ppm 
    )
    -
    -

    This routine defines indices and allocates tables in the primordial structure

    -
    Parameters
    - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_get_lnk_list()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_get_lnk_list (struct primordial * ppm,
    double kmin,
    double kmax,
    double k_per_decade 
    )
    -
    -

    This routine allocates and fills the list of wavenumbers k

    -
    Parameters
    - - - - - -
    ppmInput/output: pointer to primordial structure
    kminInput: first value
    kmaxInput: last value that we should encompass
    k_per_decadeInput: number of k per decade
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_analytic_spectrum_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    int primordial_analytic_spectrum_init (struct perturbs * ppt,
    struct primordial * ppm 
    )
    -
    -

    This routine interprets and stores in a condensed form the input parameters in the case of a simple analytic spectra with amplitudes, tilts, runnings, in such way that later on, the spectrum can be obtained by a quick call to the routine primordial_analytic_spectrum(()

    -
    Parameters
    - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_analytic_spectrum()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_analytic_spectrum (struct primordial * ppm,
    int index_md,
    int index_ic1_ic2,
    double k,
    double * pk 
    )
    -
    -

    This routine returns the primordial spectrum in the simple analytic case with amplitudes, tilts, runnings, for each mode (scalar/tensor...), pair of initial conditions, and wavenumber.

    -
    Parameters
    - - - - - - -
    ppmInput/output: pointer to primordial structure
    index_mdInput: index of mode (scalar, tensor, ...)
    index_ic1_ic2Input: pair of initial conditions (ic1, ic2)
    kInput: wavenumber in same units as pivot scale, i.e. in 1/Mpc
    pkOutput: primordial power spectrum A (k/k_pivot)^(n+...)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_potential()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_potential (struct primordial * ppm,
    double phi,
    double * V,
    double * dV,
    double * ddV 
    )
    -
    -

    This routine encodes the inflaton scalar potential

    -
    Parameters
    - - - - - - -
    ppmInput: pointer to primordial structure
    phiInput: background inflaton field value in units of Mp
    VOutput: inflaton potential in units of $ Mp^4$
    dVOutput: first derivative of inflaton potential wrt the field
    ddVOutput: second derivative of inflaton potential wrt the field
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_hubble()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_hubble (struct primordial * ppm,
    double phi,
    double * H,
    double * dH,
    double * ddH,
    double * dddH 
    )
    -
    -

    This routine encodes the function $ H(\phi)$

    -
    Parameters
    - - - - - - - -
    ppmInput: pointer to primordial structure
    phiInput: background inflaton field value in units of Mp
    HOutput: Hubble parameters in units of Mp
    dHOutput: $ dH / d\phi $
    ddHOutput: $ d^2H / d\phi^2 $
    dddHOutput: $ d^3H / d\phi^3 $
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_indices()

    - -
    -
    - - - - - - - - -
    int primordial_inflation_indices (struct primordial * ppm)
    -
    -

    This routine defines indices used by the inflation simulator

    -
    Parameters
    - - -
    ppmInput/output: pointer to primordial structure
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_solve_inflation()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_solve_inflation (struct perturbs * ppt,
    struct primordial * ppm,
    struct precision * ppr 
    )
    -
    -

    Main routine of inflation simulator. Its goal is to check the background evolution before and after the pivot value phi=phi_pivot, and then, if this evolution is suitable, to call the routine primordial_inflation_spectra().

    -
    Parameters
    - - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    pprInput: pointer to precision structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate vectors for background/perturbed quantities
      • -
    • eventually, needs first to find phi_pivot
      • -
    • compute H_pivot at phi_pivot
      • -
    • check positivity and negative slope of potential in field pivot value, and find value of phi_dot and H for field's pivot value, assuming slow-roll attractor solution has been reached. If no solution, code will stop there.
      • -
    • check positivity and negative slope of $ H(\phi)$ in field pivot value, and get H_pivot
      • -
    • find a_pivot, value of scale factor when k_pivot crosses horizon while phi=phi_pivot
      • -
    • integrate background solution starting from phi_pivot and until k_max>>aH. This ensures that the inflationary model considered here is valid and that the primordial spectrum can be computed. Otherwise, if slow-roll brakes too early, model is not suitable and run stops.
      • -
    • starting from this time, i.e. from y_ini[ ], we run the routine which takes care of computing the primordial spectrum.
      • -
    • before ending, we want to compute and store the values of $ \phi $ corresponding to k=aH for k_min and k_max
      • -
    • finally, we can de-allocate
      • -
    - -
    -
    - -

    ◆ primordial_inflation_analytic_spectra()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_analytic_spectra (struct perturbs * ppt,
    struct primordial * ppm,
    struct precision * ppr,
    double * y_ini 
    )
    -
    -

    Routine for the computation of an analytic apporoximation to the the primordial spectrum. In general, should be used only for comparing with exact numerical computation performed by primordial_inflation_spectra().

    -
    Parameters
    - - - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    pprInput: pointer to precision structure
    y_iniInput: initial conditions for the vector of background/perturbations, already allocated and filled
    -
    -
    -
    Returns
    the error status
    -

    Summary

    -
      -
    • allocate vectors for background/perturbed quantities
      • -
    • initialize the background part of the running vector
      • -
    • loop over Fourier wavenumbers
      • -
    • read value of phi at time when k=aH
      • -
    • get potential (and its derivatives) at this value
      • -
    • calculate the analytic slow-roll formula for the spectra
      • -
    • store the obtained result for curvature and tensor perturbations
      • -
    - -
    -
    - -

    ◆ primordial_inflation_spectra()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_spectra (struct perturbs * ppt,
    struct primordial * ppm,
    struct precision * ppr,
    double * y_ini 
    )
    -
    -

    Routine with a loop over wavenumbers for the computation of the primordial spectrum. For each wavenumber it calls primordial_inflation_one_wavenumber()

    -
    Parameters
    - - - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    pprInput: pointer to precision structure
    y_iniInput: initial conditions for the vector of background/perturbations, already allocated and filled
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_one_wavenumber()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_one_wavenumber (struct perturbs * ppt,
    struct primordial * ppm,
    struct precision * ppr,
    double * y_ini,
    int index_k 
    )
    -
    -

    Routine coordinating the computation of the primordial spectrum for one wavenumber. It calls primordial_inflation_one_k() to integrate the perturbation equations, and then it stores the result for the scalar/tensor spectra.

    -
    Parameters
    - - - - - - -
    pptInput: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    pprInput: pointer to precision structure
    y_iniInput: initial conditions for the vector of background/perturbations, already allocated and filled
    index_kInput: index of wavenumber to be considered
    -
    -
    -
    Returns
    the error status
    -

    Summary

    -
      -
    • allocate vectors for background/perturbed quantities
      • -
    • initialize the background part of the running vector
        -
      • evolve the background until the relevant initial time for integrating perturbations
        • -
      • evolve the background/perturbation equations from this time and until some time after Horizon crossing
        • -
      -
      • -
    • store the obtained result for curvature and tensor perturbations
      • -
    - -
    -
    - -

    ◆ primordial_inflation_one_k()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_one_k (struct primordial * ppm,
    struct precision * ppr,
    double k,
    double * y,
    double * dy,
    double * curvature,
    double * tensor 
    )
    -
    -

    Routine integrating the background plus perturbation equations for each wavenumber, and returning the scalar and tensor spectrum.

    -
    Parameters
    - - - - - - - - -
    ppmInput: pointer to primordial structure
    pprInput: pointer to precision structure
    kInput: Fourier wavenumber
    yInput: running vector of background/perturbations, already allocated and initialized
    dyInput: running vector of background/perturbation derivatives, already allocated
    curvatureOutput: curvature perturbation
    tensorOutput: tensor perturbation
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • initialize the generic integrator (same integrator already used in background, thermodynamics and perturbation modules)
      • -
    • initialize variable used for deciding when to stop the calculation (= when the curvature remains stable)
      • -
    • initialize conformal time to arbitrary value (here, only variations of tau matter: the equations that we integrate do not depend explicitly on time)
      • -
    • compute derivative of initial vector and infer first value of adaptive time-step
      • -
    • loop over time
      • -
    • clean the generic integrator
      • -
    • store final value of curvature for this wavenumber
      • -
    • store final value of tensor perturbation for this wavenumber
      • -
    - -
    -
    - -

    ◆ primordial_inflation_find_attractor()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_find_attractor (struct primordial * ppm,
    struct precision * ppr,
    double phi_0,
    double precision,
    double * y,
    double * dy,
    double * H_0,
    double * dphidt_0 
    )
    -
    -

    Routine searching for the inflationary attractor solution at a given phi_0, by iterations, with a given tolerance. If no solution found within tolerance, returns error message. The principle is the following. The code starts integrating the background equations from various values of phi, corresponding to earlier and earlier value before phi_0, and separated by a small arbitrary step size, corresponding roughly to 1 e-fold of inflation. Each time, the integration starts with the initial condition $ \phi=-V'/3H$ (slow-roll prediction). If the found value of $\phi'$ in phi_0 is stable (up to the parameter "precision"), the code considers that there is an attractor, and stops iterating. If this process does not converge, it returns an error message.

    -
    Parameters
    - - - - - - - - - -
    ppmInput: pointer to primordial structure
    pprInput: pointer to precision structure
    phi_0Input: field value at which we wish to find the solution
    precisionInput: tolerance on output values (if too large, an attractor will always considered to be found)
    yInput: running vector of background variables, already allocated and initialized
    dyInput: running vector of background derivatives, already allocated
    H_0Output: Hubble value at phi_0 for attractor solution
    dphidt_0Output: field derivative value at phi_0 for attractor solution
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_evolve_background()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_evolve_background (struct primordial * ppm,
    struct precision * ppr,
    double * y,
    double * dy,
    enum target_quantity target,
    double stop,
    short check_epsilon,
    enum integration_direction direction,
    enum time_definition time 
    )
    -
    -

    Routine integrating background equations only, from initial values stored in y, to a final value (if target = aH, until aH = aH_stop; if target = phi, till phi = phi_stop; if target = end_inflation, until $ d^2a/dt^2 = 0$ (here t = proper time)). In output, y contains the final background values. In addition, if check_epsilon is true, the routine controls at each step that the expansion is accelerated and that inflation holds (wepsilon>1), otherwise it returns an error. Thanks to the last argument, it is also possible to specify whether the integration should be carried forward or backward in time. For the inflation_H case, only a 1st order differential equation is involved, so the forward and backward case can be done exactly without problems. For the inflation_V case, the equation of motion is 2nd order. What the module will do in the backward case is to search for an approximate solution, corresponding to the (first-order) attractor inflationary solution. This approximate backward solution is used in order to estimate some initial times, but the approximation made here will never impact the final result: the module is written in such a way that after using this approximation, the code always computes (and relies on) the exact forward solution.

    -
    Parameters
    - - - - - - - - - - -
    ppmInput: pointer to primordial structure
    pprInput: pointer to precision structure
    yInput/output: running vector of background variables, already allocated and initialized
    dyInput: running vector of background derivatives, already allocated
    targetInput: whether the goal is to reach a given aH or $ \phi $
    stopInput: the target value of either aH or $ \phi $
    check_epsilonInput: whether we should impose inflation (epsilon>1) at each step
    directionInput: whether we should integrate forward or backward in time
    timeInput: definition of time (proper or conformal)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_check_potential()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_check_potential (struct primordial * ppm,
    double phi,
    double * V,
    double * dV,
    double * ddV 
    )
    -
    -

    Routine checking positivity and negative slope of potential. The negative slope is an arbitrary choice. Currently the code can only deal with monotonic variations of the inflaton during inflation. So the slope had to be always negative or always positive... we took the first option.

    -
    Parameters
    - - - - - - -
    ppmInput: pointer to primordial structure
    phiInput: field value where to perform the check
    VOutput: inflaton potential in units of $ Mp^4$
    dVOutput: first derivative of inflaton potential wrt the field
    ddVOutput: second derivative of inflaton potential wrt the field
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_check_hubble()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_check_hubble (struct primordial * ppm,
    double phi,
    double * H,
    double * dH,
    double * ddH,
    double * dddH 
    )
    -
    -

    Routine checking positivity and negative slope of $ H(\phi)$. The negative slope is an arbitrary choice. Currently the code can only deal with monotonic variations of the inflaton during inflation. And H can only decrease with time. So the slope $ dH/d\phi$ has to be always negative or always positive... we took the first option: phi increases, H decreases.

    -
    Parameters
    - - - - - - - -
    ppmInput: pointer to primordial structure
    phiInput: field value where to perform the check
    HOutput: Hubble parameters in units of Mp
    dHOutput: $ dH / d\phi $
    ddHOutput: $ d^2H / d\phi^2 $
    dddHOutput: $ d^3H / d\phi^3 $
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_get_epsilon()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_get_epsilon (struct primordial * ppm,
    double phi,
    double * epsilon 
    )
    -
    -

    Routine computing the first slow-roll parameter epsilon

    -
    Parameters
    - - - - -
    ppmInput: pointer to primordial structure
    phiInput: field value where to compute epsilon
    epsilonOutput: result
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_inflation_find_phi_pivot()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_find_phi_pivot (struct primordial * ppm,
    struct precision * ppr,
    double * y,
    double * dy 
    )
    -
    -

    Routine searching phi_pivot when a given amount of inflation is requested.

    -
    Parameters
    - - - - - -
    ppmInput/output: pointer to primordial structure
    pprInput: pointer to precision structure
    yInput: running vector of background variables, already allocated and initialized
    dyInput: running vector of background derivatives, already allocated
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check whether in vicinity of phi_end, inflation is still ongoing
      • -
    • case in which epsilon>1: hence we must find the value phi_stop < phi_end where inflation ends up naturally
      • -
    • –> find latest value of the field such that epsilon = primordial_inflation_small_epsilon (default: 0.1)
      • -
    • –> bracketing right-hand value is phi_end (but the potential will not be evaluated exactly there, only closeby
      • -
    • –> bracketing left-hand value is found by iterating with logarithmic step until epsilon < primordial_inflation_small_epsilon
      • -
    • –> find value such that epsilon = primordial_inflation_small_epsilon by bisection
      • -
    • –> value found and stored as phi_small_epsilon
      • -
    • –> find inflationary attractor in phi_small_epsilon (should exist since epsilon<<1 there)
      • -
    • --> compute amount of inflation between this phi_small_epsilon and the end of inflation
      • -
    • –> by starting from phi_small_epsilon and integrating an approximate solution backward in time, try to estimate roughly a value close to phi_pivot but a bit smaller. This is done by trying to reach an amount of inflation equal to the requested one, minus the amount after phi_small_epsilon, and plus primordial_inflation_extra_efolds efolds (default: two). Note that it is not aggressive to require two extra e-folds of inflation before the pivot, since the calculation of the spectrum in the observable range will require even more.
      • -
    • –> find attractor in phi_try
      • -
    • –> check the total amount of inflation between phi_try and the end of inflation
      • -
    • –> go back to phi_try, and now find phi_pivot such that the amount of inflation between phi_pivot and the end of inflation is exactly the one requested.
      • -
    • case in which epsilon<1:
      • -
    • –> find inflationary attractor in phi_small_epsilon (should exist since epsilon<1 there)
      • -
    • --> by starting from phi_end and integrating an approximate solution backward in time, try to estimate roughly a value close to phi_pivot but a bit smaller. This is done by trying to reach an amount of inflation equal to the requested one, minus the amount after phi_small_epsilon, and plus primordial_inflation_extra_efolds efolds (default: two). Note that it is not aggressive to require two extra e-folds of inflation before the pivot, since the calculation of the spectrum in the observable range will require even more.
      • -
    • –> we now have a value phi_try believed to be close to and slightly smaller than phi_pivot
      • -
    • –> find attractor in phi_try
      • -
    • –> check the total amount of inflation between phi_try and the end of inflation
      • -
    • –> go back to phi_try, and now find phi_pivot such that the amount of inflation between phi_pivot and the end of inflation is exactly the one requested.
      • -
    • –> In verbose mode, check that phi_pivot is correct. Done by restarting from phi_pivot and going again till the end of inflation.
      • -
    - -
    -
    - -

    ◆ primordial_inflation_derivs()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int primordial_inflation_derivs (double tau,
    double * y,
    double * dy,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    Routine returning derivative of system of background/perturbation variables. Like other routines used by the generic integrator (background_derivs, thermodynamics_derivs, perturb_derivs), this routine has a generic list of arguments, and a slightly different error management, with the error message returned directly in an ErrMsg field.

    -
    Parameters
    - - - - - - -
    tauInput: time (not used explicitly inside the routine, but requested by the generic integrator)
    yInput/output: running vector of background variables, already allocated and initialized
    dyInput: running vector of background derivatives, already allocated
    parameters_and_workspaceInput: all necessary input variables apart from y
    error_messageOutput: error message
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ primordial_external_spectrum_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    int primordial_external_spectrum_init (struct perturbs * ppt,
    struct primordial * ppm 
    )
    -
    -

    This routine reads the primordial spectrum from an external command, and stores the tabulated values. The sampling of the k's given by the external command is preserved.

    -

    Author: Jesus Torrado (torra.nosp@m.doca.nosp@m.cho@l.nosp@m.oren.nosp@m.tz.le.nosp@m.iden.nosp@m.univ..nosp@m.nl) Date: 2013-12-20

    -
    Parameters
    - - - -
    pptInput/output: pointer to perturbation structure
    ppmInput/output: pointer to primordial structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • Initialization
      • -
    • Launch the command and retrieve the output
      • -
    • Store the read results into CLASS structures
      • -
    • Make room
      • -
    • Store values
      • -
    • Release the memory used locally
      • -
    • Tell CLASS that there are scalar (and tensor) modes
      • -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/primordial_8c.js b/doc/manual/html/primordial_8c.js deleted file mode 100644 index 9faa2de5..00000000 --- a/doc/manual/html/primordial_8c.js +++ /dev/null @@ -1,26 +0,0 @@ -var primordial_8c = -[ - [ "primordial_spectrum_at_k", "primordial_8c.html#a89f883182d64a767893f44af3cc76156", null ], - [ "primordial_init", "primordial_8c.html#aa8514e84606dae204881c26add8347fd", null ], - [ "primordial_free", "primordial_8c.html#a0738267288f804baecaabf57d018dd4c", null ], - [ "primordial_indices", "primordial_8c.html#a7117826e79516d8c79ab8922355b5aa3", null ], - [ "primordial_get_lnk_list", "primordial_8c.html#a38d4688b9514a9a2aa2ef5aee3fe62cd", null ], - [ "primordial_analytic_spectrum_init", "primordial_8c.html#a652f3a92c6d20a900491328f877d055b", null ], - [ "primordial_analytic_spectrum", "primordial_8c.html#ac1c10cc04ed3b0932fc2d97ad8b989bb", null ], - [ "primordial_inflation_potential", "primordial_8c.html#aed3af8386f2563c08d5f9335da4fe4a6", null ], - [ "primordial_inflation_hubble", "primordial_8c.html#a884818587359180f98cab9742f58899f", null ], - [ "primordial_inflation_indices", "primordial_8c.html#a9f144634e4373a40a263f190dae90a83", null ], - [ "primordial_inflation_solve_inflation", "primordial_8c.html#add085c0441ad0e2ae2cafdedd6179415", null ], - [ "primordial_inflation_analytic_spectra", "primordial_8c.html#a743507d4ef8cbea8c9c9e2fd51636e6a", null ], - [ "primordial_inflation_spectra", "primordial_8c.html#aec9eed8de0b113845b4682fa2293fbf0", null ], - [ "primordial_inflation_one_wavenumber", "primordial_8c.html#a61066bb489330ba565bc2123f1ed6171", null ], - [ "primordial_inflation_one_k", "primordial_8c.html#a2408dcaf0938b29fdaf753aa58389a42", null ], - [ "primordial_inflation_find_attractor", "primordial_8c.html#a173b299e7b40569977b0ccede10a1fbc", null ], - [ "primordial_inflation_evolve_background", "primordial_8c.html#abd4b8ec84574311163b24823024815b8", null ], - [ "primordial_inflation_check_potential", "primordial_8c.html#a24385b8d50b9d5661039351baf531607", null ], - [ "primordial_inflation_check_hubble", "primordial_8c.html#a259f83136df5d84895754b5169edfdc5", null ], - [ "primordial_inflation_get_epsilon", "primordial_8c.html#ad99785737e2ec78af27ce4dd439fbb5c", null ], - [ "primordial_inflation_find_phi_pivot", "primordial_8c.html#a3d866f6ad82b89050f34eec39a0b96e5", null ], - [ "primordial_inflation_derivs", "primordial_8c.html#afa97aa27a9de9350d2829c879b4168ea", null ], - [ "primordial_external_spectrum_init", "primordial_8c.html#a218f0e59a88b1082047a3dee4d28e9ab", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/primordial_8c__incl.map b/doc/manual/html/primordial_8c__incl.map deleted file mode 100644 index 6dfeba32..00000000 --- a/doc/manual/html/primordial_8c__incl.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c__incl.md5 b/doc/manual/html/primordial_8c__incl.md5 deleted file mode 100644 index c7ea26ca..00000000 --- a/doc/manual/html/primordial_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -c5e5b78067f5c2d55482d8aaa3d8d15a \ No newline at end of file diff --git a/doc/manual/html/primordial_8c__incl.png b/doc/manual/html/primordial_8c__incl.png deleted file mode 100644 index 36cd0e0f..00000000 Binary files a/doc/manual/html/primordial_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.map b/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.map deleted file mode 100644 index f231b429..00000000 --- a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.md5 b/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.md5 deleted file mode 100644 index 1fb0461a..00000000 --- a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -47a473dceb24abcc9ac00021c210d4e8 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.png b/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.png deleted file mode 100644 index 1714781a..00000000 Binary files a/doc/manual/html/primordial_8c_a0738267288f804baecaabf57d018dd4c_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.map b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.map deleted file mode 100644 index ee92f96d..00000000 --- a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.md5 b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.md5 deleted file mode 100644 index 3a4af2a1..00000000 --- a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d800f400335c50eba085115b953c414a \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.png b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.png deleted file mode 100644 index 32775955..00000000 Binary files a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.map b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.map deleted file mode 100644 index 30bfd023..00000000 --- a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.md5 b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.md5 deleted file mode 100644 index 22f67419..00000000 --- a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -edced29b746d5d7ce418cefcdc4dd663 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.png b/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.png deleted file mode 100644 index f61f1b17..00000000 Binary files a/doc/manual/html/primordial_8c_a173b299e7b40569977b0ccede10a1fbc_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.map b/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.map deleted file mode 100644 index 50f997d7..00000000 --- a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.md5 b/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.md5 deleted file mode 100644 index a6269d72..00000000 --- a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -09b788b7b5748f4051711ba6d6642f5e \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.png b/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.png deleted file mode 100644 index 929f994a..00000000 Binary files a/doc/manual/html/primordial_8c_a218f0e59a88b1082047a3dee4d28e9ab_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.map b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.map deleted file mode 100644 index d86853d4..00000000 --- a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.md5 b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.md5 deleted file mode 100644 index 137898de..00000000 --- a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -9f4b40a6273dd3ec201fd1218e830b26 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.png b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.png deleted file mode 100644 index 3eb8a98c..00000000 Binary files a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.map b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.map deleted file mode 100644 index fbb598a9..00000000 --- a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.md5 b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.md5 deleted file mode 100644 index df015495..00000000 --- a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f417cc8794883e9221b6ae23f3445a46 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.png b/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.png deleted file mode 100644 index 5ab29f42..00000000 Binary files a/doc/manual/html/primordial_8c_a2408dcaf0938b29fdaf753aa58389a42_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.map b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.map deleted file mode 100644 index 9b64831f..00000000 --- a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.md5 b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.md5 deleted file mode 100644 index bb1d23e7..00000000 --- a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3b01fc4dc4ff54dcb7572ad8f1d023d9 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.png b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.png deleted file mode 100644 index 81f3f354..00000000 Binary files a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.map b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.map deleted file mode 100644 index 05f1eb07..00000000 --- a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.md5 b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.md5 deleted file mode 100644 index 11c22249..00000000 --- a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -74b69a09f0df33886bf8c00d6ca942ef \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.png b/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.png deleted file mode 100644 index d9555c1c..00000000 Binary files a/doc/manual/html/primordial_8c_a24385b8d50b9d5661039351baf531607_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.map b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.map deleted file mode 100644 index e23df7b0..00000000 --- a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.md5 b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.md5 deleted file mode 100644 index 88009cc5..00000000 --- a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a874a6614f3d87250637b67189a97c7b \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.png b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.png deleted file mode 100644 index 9d8cd781..00000000 Binary files a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.map b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.map deleted file mode 100644 index 90db01ba..00000000 --- a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.md5 b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.md5 deleted file mode 100644 index d4ed4033..00000000 --- a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3b1403b20938a2cbcdbfb0dbf822cb5d \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.png b/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.png deleted file mode 100644 index 0319bd59..00000000 Binary files a/doc/manual/html/primordial_8c_a259f83136df5d84895754b5169edfdc5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.map b/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.map deleted file mode 100644 index 41df5de1..00000000 --- a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.md5 b/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.md5 deleted file mode 100644 index 29baa128..00000000 --- a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bc2d05580ed2bd742351d09f8c8f3ee9 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.png b/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.png deleted file mode 100644 index 407b005b..00000000 Binary files a/doc/manual/html/primordial_8c_a38d4688b9514a9a2aa2ef5aee3fe62cd_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.map b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.map deleted file mode 100644 index fe9e5196..00000000 --- a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.md5 b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.md5 deleted file mode 100644 index 84adb674..00000000 --- a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6ca275df030800119efed1ab8fe1ec7f \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.png b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.png deleted file mode 100644 index 75325f2c..00000000 Binary files a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.map b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.map deleted file mode 100644 index 42debd69..00000000 --- a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.md5 b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.md5 deleted file mode 100644 index 876cbacd..00000000 --- a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a0d43188bca1514b2ba947b436d56864 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.png b/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.png deleted file mode 100644 index 22dafa11..00000000 Binary files a/doc/manual/html/primordial_8c_a3d866f6ad82b89050f34eec39a0b96e5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.map b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.map deleted file mode 100644 index ea41aaa1..00000000 --- a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.md5 b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.md5 deleted file mode 100644 index 80e86489..00000000 --- a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b262ed8004c5571d53aa4abdca801222 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.png b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.png deleted file mode 100644 index 319f2237..00000000 Binary files a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.map b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.map deleted file mode 100644 index 12cbe0a8..00000000 --- a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.md5 b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.md5 deleted file mode 100644 index 0b39e0fe..00000000 --- a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7e592df3add062d48dc865fb1443d16c \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.png b/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.png deleted file mode 100644 index e1864e51..00000000 Binary files a/doc/manual/html/primordial_8c_a61066bb489330ba565bc2123f1ed6171_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.map b/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.map deleted file mode 100644 index b1b995bf..00000000 --- a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.md5 b/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.md5 deleted file mode 100644 index 8d864257..00000000 --- a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -dbed37f73cbe6ee4139c95e6d538d8f3 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.png b/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.png deleted file mode 100644 index 13751581..00000000 Binary files a/doc/manual/html/primordial_8c_a652f3a92c6d20a900491328f877d055b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.map b/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.map deleted file mode 100644 index e167805d..00000000 --- a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.md5 b/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.md5 deleted file mode 100644 index 38c47995..00000000 --- a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1f8d57914da9a627ca3b46c3c736c301 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.png b/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.png deleted file mode 100644 index d619ad13..00000000 Binary files a/doc/manual/html/primordial_8c_a7117826e79516d8c79ab8922355b5aa3_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.map b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.map deleted file mode 100644 index 8e3fcc26..00000000 --- a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.md5 b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.md5 deleted file mode 100644 index 227fbcc8..00000000 --- a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -78997f7f21237cd13d7ffea22bc71a45 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.png b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.png deleted file mode 100644 index 2442761a..00000000 Binary files a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.map b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.map deleted file mode 100644 index 5152d9e6..00000000 --- a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.md5 b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.md5 deleted file mode 100644 index e09724e4..00000000 --- a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -018e0ecb9625bddce5b4e13bcda98ce4 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.png b/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.png deleted file mode 100644 index 54aeecef..00000000 Binary files a/doc/manual/html/primordial_8c_a743507d4ef8cbea8c9c9e2fd51636e6a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.map b/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.map deleted file mode 100644 index b43f1106..00000000 --- a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.map +++ /dev/null @@ -1,17 +0,0 @@ - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.md5 b/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.md5 deleted file mode 100644 index c09b4965..00000000 --- a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -8ca840be04e5dde3b55cbdf8760d3ab1 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.png b/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.png deleted file mode 100644 index f5773d44..00000000 Binary files a/doc/manual/html/primordial_8c_a884818587359180f98cab9742f58899f_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.map b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.map deleted file mode 100644 index a7f692cf..00000000 --- a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.md5 b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.md5 deleted file mode 100644 index 4d60eb87..00000000 --- a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cc6305635ef5c1c3102e42f3a4262950 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.png b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.png deleted file mode 100644 index 6e3cc313..00000000 Binary files a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.map b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.map deleted file mode 100644 index d7b0b4e3..00000000 --- a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.map +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.md5 b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.md5 deleted file mode 100644 index 9e8b9214..00000000 --- a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6065ac7d13e586001e60c1f87621893c \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.png b/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.png deleted file mode 100644 index d2b79daf..00000000 Binary files a/doc/manual/html/primordial_8c_a89f883182d64a767893f44af3cc76156_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.map b/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.map deleted file mode 100644 index 802da422..00000000 --- a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.md5 b/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.md5 deleted file mode 100644 index 1e543fdf..00000000 --- a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -fff28c3eabfc62167c9d6210398ee958 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.png b/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.png deleted file mode 100644 index d4d96803..00000000 Binary files a/doc/manual/html/primordial_8c_a9f144634e4373a40a263f190dae90a83_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.map b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.map deleted file mode 100644 index dea77b5f..00000000 --- a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.map +++ /dev/null @@ -1,24 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.md5 b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.md5 deleted file mode 100644 index 75e256b3..00000000 --- a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a837781c67ea8c07f81d50ba06fd19bf \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.png b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.png deleted file mode 100644 index 96d33dff..00000000 Binary files a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.map b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.map deleted file mode 100644 index 336277cb..00000000 --- a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.md5 b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.md5 deleted file mode 100644 index 46c2641a..00000000 --- a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -fb398bec46884447507306dfe44ccd74 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.png b/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.png deleted file mode 100644 index 0a8abc36..00000000 Binary files a/doc/manual/html/primordial_8c_aa8514e84606dae204881c26add8347fd_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.map b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.map deleted file mode 100644 index 36a14946..00000000 --- a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.md5 b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.md5 deleted file mode 100644 index 8eebdc62..00000000 --- a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -21d9b8a6ec36c00b472ff17d90480485 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.png b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.png deleted file mode 100644 index a9ef8765..00000000 Binary files a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.map b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.map deleted file mode 100644 index dda1e944..00000000 --- a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.map +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.md5 b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.md5 deleted file mode 100644 index f41700a5..00000000 --- a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -142e05cd2d3f415724aa3f0907ed3e24 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.png b/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.png deleted file mode 100644 index a46b510e..00000000 Binary files a/doc/manual/html/primordial_8c_abd4b8ec84574311163b24823024815b8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.map b/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.map deleted file mode 100644 index 64214052..00000000 --- a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.md5 b/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.md5 deleted file mode 100644 index 479a7db1..00000000 --- a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -05142c84ca9d1a404dc5b2485694fefc \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.png b/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.png deleted file mode 100644 index bbfb707f..00000000 Binary files a/doc/manual/html/primordial_8c_ac1c10cc04ed3b0932fc2d97ad8b989bb_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.map b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.map deleted file mode 100644 index 81083eac..00000000 --- a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.md5 b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.md5 deleted file mode 100644 index 23fa07aa..00000000 --- a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cbd4691142dfbfcc528d92b05f4dad0c \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.png b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.png deleted file mode 100644 index ee859a27..00000000 Binary files a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.map b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.map deleted file mode 100644 index d7101946..00000000 --- a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.md5 b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.md5 deleted file mode 100644 index 219d8137..00000000 --- a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -10a9dae94427158d8c8bed1959261053 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.png b/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.png deleted file mode 100644 index 15494a6d..00000000 Binary files a/doc/manual/html/primordial_8c_ad99785737e2ec78af27ce4dd439fbb5c_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.map b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.map deleted file mode 100644 index 0a7b3c1a..00000000 --- a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.md5 b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.md5 deleted file mode 100644 index 5b67f6ff..00000000 --- a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4c0d7ab58937407d0e0362d50508f054 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.png b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.png deleted file mode 100644 index 4189742c..00000000 Binary files a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.map b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.map deleted file mode 100644 index c58e5ea5..00000000 --- a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.md5 b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.md5 deleted file mode 100644 index 72bb5c7c..00000000 --- a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a7bda91b34bf8b1b3a5cf73a0a143c8c \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.png b/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.png deleted file mode 100644 index 8be5f4c9..00000000 Binary files a/doc/manual/html/primordial_8c_add085c0441ad0e2ae2cafdedd6179415_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.map b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.map deleted file mode 100644 index 0b9a7f4d..00000000 --- a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.md5 b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.md5 deleted file mode 100644 index 071c6339..00000000 --- a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6842dcfa28ce010a59a5920c0a816c4d \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.png b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.png deleted file mode 100644 index d50990a0..00000000 Binary files a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.map b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.map deleted file mode 100644 index 00a5fe32..00000000 --- a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.md5 b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.md5 deleted file mode 100644 index 707f1e17..00000000 --- a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -8bb235cde2dd5e900a0244ceccf5cea0 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.png b/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.png deleted file mode 100644 index ebd2f0a7..00000000 Binary files a/doc/manual/html/primordial_8c_aec9eed8de0b113845b4682fa2293fbf0_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.map b/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.map deleted file mode 100644 index 7b661f53..00000000 --- a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.map +++ /dev/null @@ -1,17 +0,0 @@ - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.md5 b/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.md5 deleted file mode 100644 index 2810f4ee..00000000 --- a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -94e1800a55025497388728f63b4a1a42 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.png b/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.png deleted file mode 100644 index 1e129dc1..00000000 Binary files a/doc/manual/html/primordial_8c_aed3af8386f2563c08d5f9335da4fe4a6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.map b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.map deleted file mode 100644 index 9d68b907..00000000 --- a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.md5 b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.md5 deleted file mode 100644 index d910fcaa..00000000 --- a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -46a51468b22cf77a195c1c24901207a0 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.png b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.png deleted file mode 100644 index 609904a9..00000000 Binary files a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_cgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.map b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.map deleted file mode 100644 index e5ed1e1c..00000000 --- a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.map +++ /dev/null @@ -1,14 +0,0 @@ - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.md5 b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.md5 deleted file mode 100644 index b4c6b193..00000000 --- a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d98c5208ee8f5ae89fc187af70919558 \ No newline at end of file diff --git a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.png b/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.png deleted file mode 100644 index dc77fdd8..00000000 Binary files a/doc/manual/html/primordial_8c_afa97aa27a9de9350d2829c879b4168ea_icgraph.png and /dev/null differ diff --git a/doc/manual/html/primordial_8h.html b/doc/manual/html/primordial_8h.html deleted file mode 100644 index 91417245..00000000 --- a/doc/manual/html/primordial_8h.html +++ /dev/null @@ -1,1076 +0,0 @@ - - - - - - - -CLASS MANUAL: primordial.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures | -Enumerations
    -
    -
    primordial.h File Reference
    -
    -
    -
    #include "perturbations.h"
    -
    - + Include dependency graph for primordial.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - -

    -Data Structures

    struct  primordial
     
    - - - - - - - - - - - - - - - - - -

    -Enumerations

    enum  primordial_spectrum_type
     
    enum  linear_or_logarithmic
     
    enum  potential_shape
     
    enum  target_quantity
     
    enum  integration_direction
     
    enum  time_definition
     
    enum  phi_pivot_methods
     
    enum  inflation_module_behavior
     
    -

    Detailed Description

    -

    Documented includes for primordial module.

    -

    Data Structure Documentation

    - -

    ◆ primordial

    - -
    -
    - - - - -
    struct primordial
    -
    -

    Structure containing everything about primordial spectra that other modules need to know.

    -

    Once initialized by primordial_init(), contains a table of all primordial spectra as a function of wavenumber, mode, and pair of initial conditions.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -double -k_pivot -

    pivot scale in $ Mpc^{-1} $

    -
    -enum primordial_spectrum_type -primordial_spec_type -

    type of primordial spectrum (simple analytic from, integration of inflationary perturbations, etc.)

    -
    -double -A_s -

    usual scalar amplitude = curvature power spectrum at pivot scale

    -
    -double -n_s -

    usual scalar tilt = [curvature power spectrum tilt at pivot scale -1]

    -
    -double -alpha_s -

    usual scalar running

    -
    -double -beta_s -

    running of running

    -
    -double -r -

    usual tensor to scalar ratio of power spectra, $ r=A_T/A_S=P_h/P_R $

    -
    -double -n_t -

    usual tensor tilt = [GW power spectrum tilt at pivot scale]

    -
    -double -alpha_t -

    usual tensor running

    -
    -double -f_bi -

    baryon isocurvature (BI) entropy-to-curvature ratio $ S_{bi}/R $

    -
    -double -n_bi -

    BI tilt

    -
    -double -alpha_bi -

    BI running

    -
    -double -f_cdi -

    CDM isocurvature (CDI) entropy-to-curvature ratio $ S_{cdi}/R $

    -
    -double -n_cdi -

    CDI tilt

    -
    -double -alpha_cdi -

    CDI running

    -
    -double -f_nid -

    neutrino density isocurvature (NID) entropy-to-curvature ratio $ S_{nid}/R $

    -
    -double -n_nid -

    NID tilt

    -
    -double -alpha_nid -

    NID running

    -
    -double -f_niv -

    neutrino velocity isocurvature (NIV) entropy-to-curvature ratio $ S_{niv}/R $

    -
    -double -n_niv -

    NIV tilt

    -
    -double -alpha_niv -

    NIV running

    -
    -double -c_ad_bi -

    ADxBI cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_ad_bi -

    ADxBI cross-correlation tilt

    -
    -double -alpha_ad_bi -

    ADxBI cross-correlation running

    -
    -double -c_ad_cdi -

    ADxCDI cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_ad_cdi -

    ADxCDI cross-correlation tilt

    -
    -double -alpha_ad_cdi -

    ADxCDI cross-correlation running

    -
    -double -c_ad_nid -

    ADxNID cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_ad_nid -

    ADxNID cross-correlation tilt

    -
    -double -alpha_ad_nid -

    ADxNID cross-correlation running

    -
    -double -c_ad_niv -

    ADxNIV cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_ad_niv -

    ADxNIV cross-correlation tilt

    -
    -double -alpha_ad_niv -

    ADxNIV cross-correlation running

    -
    -double -c_bi_cdi -

    BIxCDI cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_bi_cdi -

    BIxCDI cross-correlation tilt

    -
    -double -alpha_bi_cdi -

    BIxCDI cross-correlation running

    -
    -double -c_bi_nid -

    BIxNIV cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_bi_nid -

    BIxNIV cross-correlation tilt

    -
    -double -alpha_bi_nid -

    BIxNIV cross-correlation running

    -
    -double -c_bi_niv -

    BIxNIV cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_bi_niv -

    BIxNIV cross-correlation tilt

    -
    -double -alpha_bi_niv -

    BIxNIV cross-correlation running

    -
    -double -c_cdi_nid -

    CDIxNID cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_cdi_nid -

    CDIxNID cross-correlation tilt

    -
    -double -alpha_cdi_nid -

    CDIxNID cross-correlation running

    -
    -double -c_cdi_niv -

    CDIxNIV cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_cdi_niv -

    CDIxNIV cross-correlation tilt

    -
    -double -alpha_cdi_niv -

    CDIxNIV cross-correlation running

    -
    -double -c_nid_niv -

    NIDxNIV cross-correlation at pivot scale, from -1 to 1

    -
    -double -n_nid_niv -

    NIDxNIV cross-correlation tilt

    -
    -double -alpha_nid_niv -

    NIDxNIV cross-correlation running

    -
    -enum potential_shape -potential -

    parameters describing the case primordial_spec_type = inflation_V

    -
    -double -V0 -

    one parameter of the function V(phi)

    -
    -double -V1 -

    one parameter of the function V(phi)

    -
    -double -V2 -

    one parameter of the function V(phi)

    -
    -double -V3 -

    one parameter of the function V(phi)

    -
    -double -V4 -

    one parameter of the function V(phi)

    -
    -double -H0 -

    one parameter of the function H(phi)

    -
    -double -H1 -

    one parameter of the function H(phi)

    -
    -double -H2 -

    one parameter of the function H(phi)

    -
    -double -H3 -

    one parameter of the function H(phi)

    -
    -double -H4 -

    one parameter of the function H(phi)

    -
    -double -phi_end -

    value of inflaton at the end of inflation

    -
    -enum phi_pivot_methods -phi_pivot_method -

    flag for method used to define and find the pivot scale

    -
    -double -phi_pivot_target -

    For each of the above methods, critical value to be reached between pivot and end of inflation (N_star, [aH]ratio, etc.)

    -
    -enum inflation_module_behavior -behavior -

    Specifies if the inflation module computes the primordial spectrum numerically (default) or analytically

    -
    -char * -command -

    'external_Pk' mode: command generating the table of Pk and custom parameters to be passed to it string with the command for calling 'external_Pk'

    -
    -double -custom1 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom2 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom3 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom4 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom5 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom6 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom7 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom8 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom9 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -double -custom10 -

    one parameter of the primordial computed in 'external_Pk'

    -
    -int -md_size -

    number of modes included in computation

    -
    -int * -ic_size -

    for a given mode, ic_size[index_md] = number of initial conditions included in computation

    -
    -int * -ic_ic_size -

    number of ordered pairs of (index_ic1, index_ic2); this number is just N(N+1)/2 where N = ic_size[index_md]

    -
    -int -lnk_size -

    number of ln(k) values

    -
    -double * -lnk -

    list of ln(k) values lnk[index_k]

    -
    -double ** -lnpk -

    depends on indices index_md, index_ic1, index_ic2, index_k as: lnpk[index_md][index_k*ppm->ic_ic_size[index_md]+index_ic1_ic2] where index_ic1_ic2 labels ordered pairs (index_ic1, index_ic2) (since the primordial spectrum is symmetric in (index_ic1, index_ic2)).

      -
    • for diagonal elements (index_ic1 = index_ic2) this arrays contains ln[P(k)] where P(k) is positive by construction.
      • -
    • for non-diagonal elements this arrays contains the k-dependent cosine of the correlation angle, namely P(k )_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] This choice is convenient since the sign of the non-diagonal cross-correlation is arbitrary. For fully correlated or anti-correlated initial conditions, this non -diagonal element is independent on k, and equal to +1 or -1.
      • -
    -
    -double ** -ddlnpk -

    second derivative of above array, for spline interpolation. So:

      -
    • for index_ic1 = index_ic, we spline ln[P(k)] vs. ln(k), which is good since this function is usually smooth.
      • -
    • for non-diagonal coefficients, we spline P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] vs. ln(k), which is fine since this quantity is often assumed to be constant (e.g for fully correlated/anticorrelated initial conditions) or nearly constant, and with arbitrary sign.
      • -
    -
    -short ** -is_non_zero -

    is_non_zero[index_md][index_ic1_ic2] set to false if pair (index_ic1, index_ic2) is uncorrelated (ensures more precision and saves time with respect to the option of simply setting P(k)_(index_ic1, index_ic2) to zero)

    -
    -double ** -amplitude -

    all amplitudes in matrix form: amplitude[index_md][index_ic1_ic2]

    -
    -double ** -tilt -

    all tilts in matrix form: tilt[index_md][index_ic1_ic2]

    -
    -double ** -running -

    all runnings in matrix form: running[index_md][index_ic1_ic2]

    -
    -int -index_in_a -

    scale factor

    -
    -int -index_in_phi -

    inflaton vev

    -
    -int -index_in_dphi -

    its time derivative

    -
    -int -index_in_ksi_re -

    Mukhanov variable (real part)

    -
    -int -index_in_ksi_im -

    Mukhanov variable (imaginary part)

    -
    -int -index_in_dksi_re -

    Mukhanov variable (real part, time derivative)

    -
    -int -index_in_dksi_im -

    Mukhanov variable (imaginary part, time derivative)

    -
    -int -index_in_ah_re -

    tensor perturbation (real part)

    -
    -int -index_in_ah_im -

    tensor perturbation (imaginary part)

    -
    -int -index_in_dah_re -

    tensor perturbation (real part, time derivative)

    -
    -int -index_in_dah_im -

    tensor perturbation (imaginary part, time derivative)

    -
    -int -in_bg_size -

    size of vector of background quantities only

    -
    -int -in_size -

    full size of vector

    -
    -double -phi_pivot -

    in inflationary module, value of phi_pivot (set to 0 for inflation_V, inflation_H; found by code for inflation_V_end)

    -
    -double -phi_min -

    in inflationary module, value of phi when $ k_{min}=aH $

    -
    -double -phi_max -

    in inflationary module, value of phi when $ k_{max}=aH $

    -
    -double -phi_stop -

    in inflationary module, value of phi at the end of inflation

    -
    -short -primordial_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    -

    Enumeration Type Documentation

    - -

    ◆ primordial_spectrum_type

    - -
    -
    - - - - -
    enum primordial_spectrum_type
    -
    -

    enum defining how the primordial spectrum should be computed

    - -
    -
    - -

    ◆ linear_or_logarithmic

    - -
    -
    - - - - -
    enum linear_or_logarithmic
    -
    -

    enum defining whether the spectrum routine works with linear or logarithmic input/output

    - -
    -
    - -

    ◆ potential_shape

    - -
    -
    - - - - -
    enum potential_shape
    -
    -

    enum defining the type of inflation potential function V(phi)

    - -
    -
    - -

    ◆ target_quantity

    - -
    -
    - - - - -
    enum target_quantity
    -
    -

    enum defining which quantity plays the role of a target for evolving inflationary equations

    - -
    -
    - -

    ◆ integration_direction

    - -
    -
    - - - - -
    enum integration_direction
    -
    -

    enum specifying if we want to integrate equations forward or backward in time

    - -
    -
    - -

    ◆ time_definition

    - -
    -
    - - - - -
    enum time_definition
    -
    -

    enum specifying if we want to evolve quantities with conformal or proper time

    - -
    -
    - -

    ◆ phi_pivot_methods

    - -
    -
    - - - - -
    enum phi_pivot_methods
    -
    -

    enum specifying how, in the inflation_V_end case, the value of phi_pivot should calculated

    - -
    -
    - -

    ◆ inflation_module_behavior

    - -
    -
    - - - - -
    enum inflation_module_behavior
    -
    -

    enum specifying how the inflation module computes the primordial spectrum (default: numerical)

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/primordial_8h.js b/doc/manual/html/primordial_8h.js deleted file mode 100644 index 6d1b92e6..00000000 --- a/doc/manual/html/primordial_8h.js +++ /dev/null @@ -1,120 +0,0 @@ -var primordial_8h = -[ - [ "primordial", "primordial_8h.html#structprimordial", [ - [ "k_pivot", "primordial_8h.html#a992d363635a9688b5856ab14d2a6fa6a", null ], - [ "primordial_spec_type", "primordial_8h.html#a09788ccd5ad0318530fd237cb59812e0", null ], - [ "A_s", "primordial_8h.html#aa0f16cc1899ef595fff193fee7639933", null ], - [ "n_s", "primordial_8h.html#a35c0cac2ba15fbd45c292d9f9acfdcb5", null ], - [ "alpha_s", "primordial_8h.html#a39ec328f426b9c2106552891ff6556a2", null ], - [ "beta_s", "primordial_8h.html#ac78506262298c09f9f3caa8921dae17f", null ], - [ "r", "primordial_8h.html#acbf7275d9770757fd9f0c81b6d87a62f", null ], - [ "n_t", "primordial_8h.html#ab3b9abb6ff0b52dc69c5c30f047534e6", null ], - [ "alpha_t", "primordial_8h.html#a363c64dd8659db8e52aaf175cf55b1fb", null ], - [ "f_bi", "primordial_8h.html#a39effc6417460af3d49d9bdfadc4e9ba", null ], - [ "n_bi", "primordial_8h.html#a080a64221ae8da7e06f3bf884fab961b", null ], - [ "alpha_bi", "primordial_8h.html#a16ffcc69dd37cf5167f7fa6329b58cac", null ], - [ "f_cdi", "primordial_8h.html#aa8472691ad4a9e278ef4204b4ded7f39", null ], - [ "n_cdi", "primordial_8h.html#a90feb32706083c529950dacfd4a173a2", null ], - [ "alpha_cdi", "primordial_8h.html#a0b6a8e9202de3a571560a179f056e0de", null ], - [ "f_nid", "primordial_8h.html#a355f4f1a0f3d07dd585afd90be0d5f33", null ], - [ "n_nid", "primordial_8h.html#af4eafced96e906fb69e4cd9d2bb433e3", null ], - [ "alpha_nid", "primordial_8h.html#aa1fcdb57674b99b5b441a268dd4ab719", null ], - [ "f_niv", "primordial_8h.html#a5c8bfaf9d87e936f5f2d1732e2bdb2ea", null ], - [ "n_niv", "primordial_8h.html#affe995a4bd3d8c978466fd80adc5456a", null ], - [ "alpha_niv", "primordial_8h.html#ad7aa04967d7fab6e374c42c3163780a6", null ], - [ "c_ad_bi", "primordial_8h.html#a35b7d8e65abe6f95dbd14b5879e8fe91", null ], - [ "n_ad_bi", "primordial_8h.html#aa5c4a415981070e3a7065d2ac6500fe5", null ], - [ "alpha_ad_bi", "primordial_8h.html#ad84cf6ba7780ecdd8d2897e744a4c5af", null ], - [ "c_ad_cdi", "primordial_8h.html#aa58017cdb6bfce55e582febac6b7e274", null ], - [ "n_ad_cdi", "primordial_8h.html#a533e6ae3fbb99c73f9cd233656de0486", null ], - [ "alpha_ad_cdi", "primordial_8h.html#a73831eccc087d87cea84f9773d03cbf3", null ], - [ "c_ad_nid", "primordial_8h.html#a941871f34f174a3de50affcfa34642c6", null ], - [ "n_ad_nid", "primordial_8h.html#a6f60aaa4c2e2749b5312d6f752c0f430", null ], - [ "alpha_ad_nid", "primordial_8h.html#aec6a8de0d365cf9f47402ce1285af809", null ], - [ "c_ad_niv", "primordial_8h.html#a2159a195a133cd55ecc4d61c638fd0f5", null ], - [ "n_ad_niv", "primordial_8h.html#a8fb032baa0f74759014fcd912357c8ba", null ], - [ "alpha_ad_niv", "primordial_8h.html#a3e37a5d49f1a0aff540d72454d7d5a30", null ], - [ "c_bi_cdi", "primordial_8h.html#acc872d960271afabd1b2fe3bad69d1ed", null ], - [ "n_bi_cdi", "primordial_8h.html#aebc3532af60c6a594e67a6171d2f018a", null ], - [ "alpha_bi_cdi", "primordial_8h.html#a2f075d7ce415d2efe2f7028f6bb9c938", null ], - [ "c_bi_nid", "primordial_8h.html#a76559d33bf29bbb9b6f72c0f4f490805", null ], - [ "n_bi_nid", "primordial_8h.html#a94a0ab4f4e893b8b6a36f26e55e24c75", null ], - [ "alpha_bi_nid", "primordial_8h.html#afd6a3d4ca1710a29ecb3d0d062faf246", null ], - [ "c_bi_niv", "primordial_8h.html#ac3b1f114df15db4a9095a9fb281aa5d5", null ], - [ "n_bi_niv", "primordial_8h.html#ad854459b4fe856d2e80d0ecb8206610e", null ], - [ "alpha_bi_niv", "primordial_8h.html#add13ba7b464ee067fe3f403868d66df9", null ], - [ "c_cdi_nid", "primordial_8h.html#a60a344c5d21aecbe6812f87e97043f5c", null ], - [ "n_cdi_nid", "primordial_8h.html#adb98626de6ae429d3b62207a0694fb77", null ], - [ "alpha_cdi_nid", "primordial_8h.html#acef1fa2e94fa30edbcb4d702c06c0b89", null ], - [ "c_cdi_niv", "primordial_8h.html#ab69f11f2431dec095b0c71f60a774733", null ], - [ "n_cdi_niv", "primordial_8h.html#aa6cc5d8318d0993ed2934281565433a5", null ], - [ "alpha_cdi_niv", "primordial_8h.html#abd125a9a9487780ea7b4d5520bca47e5", null ], - [ "c_nid_niv", "primordial_8h.html#a421b0bdcfe05eaabfd63cc3eaa63f971", null ], - [ "n_nid_niv", "primordial_8h.html#a73abb8e0b105d288a3bb735744ad7d78", null ], - [ "alpha_nid_niv", "primordial_8h.html#a30900c0eb8257e9987c9cbfbd3e43039", null ], - [ "potential", "primordial_8h.html#a67c22e95069d6402b05dcdee8d742784", null ], - [ "V0", "primordial_8h.html#a982a911c9d7791f6f57a08e7b5b2d040", null ], - [ "V1", "primordial_8h.html#aaf89c06c44c27ea964877e9a3eecba87", null ], - [ "V2", "primordial_8h.html#ab245e3210a89e39e986abfd611df8b6a", null ], - [ "V3", "primordial_8h.html#a68181f8a34cb07f3b930b53bf4c3504b", null ], - [ "V4", "primordial_8h.html#add2c7eca88313f8bbb30237d3f78a02d", null ], - [ "H0", "primordial_8h.html#ab621cf641b1b373c2b83d1b48959f1e8", null ], - [ "H1", "primordial_8h.html#a6565415995e1345211957b0dc6f6d474", null ], - [ "H2", "primordial_8h.html#affa543bbe66af826ca4631b763850bb8", null ], - [ "H3", "primordial_8h.html#a3ce0173998d10166267b65f2c95e5f86", null ], - [ "H4", "primordial_8h.html#a8ae30b2a82b5e5a76dee555d449e2eef", null ], - [ "phi_end", "primordial_8h.html#aea80e519fa0ce2fdf2b4820af05b3c15", null ], - [ "phi_pivot_method", "primordial_8h.html#a158bc04234683f9292923a7441597a23", null ], - [ "phi_pivot_target", "primordial_8h.html#adb92236c8b8be2aeb8735c11c1a53db7", null ], - [ "behavior", "primordial_8h.html#ab464fedeeee3046d56ab92e193e9d5fb", null ], - [ "command", "primordial_8h.html#a3ee1124987e79d818ad2987c3a9dfe29", null ], - [ "custom1", "primordial_8h.html#aa9b94fec07f3dbd612b95d326e125214", null ], - [ "custom2", "primordial_8h.html#a13db350a385d3802a9061bc0128c6803", null ], - [ "custom3", "primordial_8h.html#ac78bc0e328981d0a3bbc80407f4db44a", null ], - [ "custom4", "primordial_8h.html#a8655e570945546313665e11cabdd2a02", null ], - [ "custom5", "primordial_8h.html#aeae05d528aec4c4b9c2a905d63dd2b29", null ], - [ "custom6", "primordial_8h.html#afe791ab320c73f942942654cd5cb3874", null ], - [ "custom7", "primordial_8h.html#a35690744dc4e460cbbfd880e3a57b307", null ], - [ "custom8", "primordial_8h.html#a698f3572e5bc05d7ccaef7e96f4b73eb", null ], - [ "custom9", "primordial_8h.html#a286e9e0de38f5f755f6b48da930aa2dc", null ], - [ "custom10", "primordial_8h.html#afb27e679a3c3e6a92f8cd4cc07a4596a", null ], - [ "md_size", "primordial_8h.html#adb653bc4b8147c7975500778cfc91cf4", null ], - [ "ic_size", "primordial_8h.html#aafdffaddd6bf88e0ab20ff1cd7c98ada", null ], - [ "ic_ic_size", "primordial_8h.html#a07491e43f7d49a482b4933bbcc5ab863", null ], - [ "lnk_size", "primordial_8h.html#afb8b1450e80fad605dbd86f45f985683", null ], - [ "lnk", "primordial_8h.html#af4d42a04be39689f90d2c9271fc58adb", null ], - [ "lnpk", "primordial_8h.html#abd07e09bb1fcbc79692b2abd8ccf4b1e", null ], - [ "ddlnpk", "primordial_8h.html#a0ab953a61c9b5acc8fef42189c373066", null ], - [ "is_non_zero", "primordial_8h.html#a9bda65132bae13af43610cc3968415eb", null ], - [ "amplitude", "primordial_8h.html#a9630a4e6af1b9914fa70faebb1595bc0", null ], - [ "tilt", "primordial_8h.html#a1a8d47fb814ced6a0984f2be49e00211", null ], - [ "running", "primordial_8h.html#ad545b2b62cc88e2ae07df659aad92e07", null ], - [ "index_in_a", "primordial_8h.html#a3bad57f1f09247e009931ca18f90b18b", null ], - [ "index_in_phi", "primordial_8h.html#a94172d7b5672c3cc3a4ffb76bea94f75", null ], - [ "index_in_dphi", "primordial_8h.html#aaa52b1ee0b41c9bc458e5cd85e69ca9e", null ], - [ "index_in_ksi_re", "primordial_8h.html#a2795fe40be88d791a351fba76104584c", null ], - [ "index_in_ksi_im", "primordial_8h.html#a69c742a47764298d8583712cd0010cc0", null ], - [ "index_in_dksi_re", "primordial_8h.html#a32df0c3f20477101063a2623e3e7d08e", null ], - [ "index_in_dksi_im", "primordial_8h.html#a8d6a98904ab8543f72aaf620d4c74dc4", null ], - [ "index_in_ah_re", "primordial_8h.html#ab78a3ce2a71acaf37d40fdd69e46c534", null ], - [ "index_in_ah_im", "primordial_8h.html#ad175238b397a4bd4aa6b3107fb997940", null ], - [ "index_in_dah_re", "primordial_8h.html#a946f8285f62cf37e2aee687d6f93f2c4", null ], - [ "index_in_dah_im", "primordial_8h.html#a83d532cbcf0325f00adf1db329f51fb3", null ], - [ "in_bg_size", "primordial_8h.html#a77c9ecf27ef37e9b6076a04ba773122c", null ], - [ "in_size", "primordial_8h.html#a18b8d9da6a18ca2a7b0ad2270be60d68", null ], - [ "phi_pivot", "primordial_8h.html#a30705149872b96ec4918f303339b48d3", null ], - [ "phi_min", "primordial_8h.html#ac470bf4fc3baaf6a566fe84e7e393751", null ], - [ "phi_max", "primordial_8h.html#aa83e0948e492273933d482c0734db375", null ], - [ "phi_stop", "primordial_8h.html#a7e1f0626b0ed574e46bdff7b20c2cffc", null ], - [ "primordial_verbose", "primordial_8h.html#abe8dcda501378777a148f440f949fb14", null ], - [ "error_message", "primordial_8h.html#ab6d0c136fc05447ed3c3c2a50277571c", null ] - ] ], - [ "primordial_spectrum_type", "primordial_8h.html#a920d6a2fa14d663cb6d9a3fae5a4b27d", null ], - [ "linear_or_logarithmic", "primordial_8h.html#af97c57fb2cbf4f53e76a1c0ddfb04322", null ], - [ "potential_shape", "primordial_8h.html#abc9f57be3e8c9ae0afd2edabc57f71b5", null ], - [ "target_quantity", "primordial_8h.html#a02d8d27be2ed6238b22b76c29ad0142a", null ], - [ "integration_direction", "primordial_8h.html#afcc5265c16ef7281cb64ff3deb734c2f", null ], - [ "time_definition", "primordial_8h.html#a8d962618eeb18f7afff009258f439ef3", null ], - [ "phi_pivot_methods", "primordial_8h.html#ad4961aeb87c56f59f886b346f898793a", null ], - [ "inflation_module_behavior", "primordial_8h.html#a7ff77630e0e043c10aaf1dafaffdf800", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/primordial_8h__dep__incl.map b/doc/manual/html/primordial_8h__dep__incl.map deleted file mode 100644 index 250a8ee2..00000000 --- a/doc/manual/html/primordial_8h__dep__incl.map +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8h__dep__incl.md5 b/doc/manual/html/primordial_8h__dep__incl.md5 deleted file mode 100644 index 99ec8e60..00000000 --- a/doc/manual/html/primordial_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -bcc4de139d5298aaa6f6a7a187f3096b \ No newline at end of file diff --git a/doc/manual/html/primordial_8h__dep__incl.png b/doc/manual/html/primordial_8h__dep__incl.png deleted file mode 100644 index 5e550940..00000000 Binary files a/doc/manual/html/primordial_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/primordial_8h__incl.map b/doc/manual/html/primordial_8h__incl.map deleted file mode 100644 index cec12a0f..00000000 --- a/doc/manual/html/primordial_8h__incl.map +++ /dev/null @@ -1,14 +0,0 @@ - - - - - - - - - - - - - - diff --git a/doc/manual/html/primordial_8h__incl.md5 b/doc/manual/html/primordial_8h__incl.md5 deleted file mode 100644 index 22548a45..00000000 --- a/doc/manual/html/primordial_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -727ca7b35bb5112f5e6068449e129cf3 \ No newline at end of file diff --git a/doc/manual/html/primordial_8h__incl.png b/doc/manual/html/primordial_8h__incl.png deleted file mode 100644 index 70593095..00000000 Binary files a/doc/manual/html/primordial_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/primordial_8h_source.html b/doc/manual/html/primordial_8h_source.html deleted file mode 100644 index 58f143df..00000000 --- a/doc/manual/html/primordial_8h_source.html +++ /dev/null @@ -1,240 +0,0 @@ - - - - - - - -CLASS MANUAL: primordial.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    primordial.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __PRIMORDIAL__
    4 #define __PRIMORDIAL__
    5 
    6 #include "perturbations.h"
    7 
    10 enum primordial_spectrum_type {
    11  analytic_Pk,
    12  two_scales,
    13  inflation_V,
    14  inflation_H,
    15  inflation_V_end,
    16  external_Pk
    17 };
    18 
    21 enum linear_or_logarithmic {
    22  linear,
    23  logarithmic
    24 };
    25 
    28 enum potential_shape {
    29  polynomial,
    30  natural,
    31  higgs_inflation
    32 };
    33 
    36 enum target_quantity {
    37  _aH_,
    38  _phi_,
    39  _end_inflation_,
    40  _a_
    41 };
    42 
    45 enum integration_direction {
    46  backward,
    47  forward
    48 };
    49 
    52 enum time_definition {
    53  conformal,
    54  proper
    55 };
    56 
    59 enum phi_pivot_methods {
    60  N_star,
    61  ln_aH_ratio,
    62  ln_aH_ratio_auto
    63 };
    64 
    67 enum inflation_module_behavior {
    68  numerical,
    69  analytical
    70 };
    71 
    79 struct primordial {
    80 
    86 
    87  double k_pivot;
    89  enum primordial_spectrum_type primordial_spec_type;
    91  /* - parameters describing the case primordial_spec_type = analytic_Pk : amplitudes, tilts, runnings, cross-correlations, ... */
    92 
    93  double A_s;
    94  double n_s;
    95  double alpha_s;
    96  double beta_s;
    98  double r;
    99  double n_t;
    100  double alpha_t;
    102  double f_bi;
    103  double n_bi;
    104  double alpha_bi;
    106  double f_cdi;
    107  double n_cdi;
    108  double alpha_cdi;
    110  double f_nid;
    111  double n_nid;
    112  double alpha_nid;
    114  double f_niv;
    115  double n_niv;
    116  double alpha_niv;
    118  double c_ad_bi;
    119  double n_ad_bi;
    120  double alpha_ad_bi;
    122  double c_ad_cdi;
    123  double n_ad_cdi;
    124  double alpha_ad_cdi;
    126  double c_ad_nid;
    127  double n_ad_nid;
    128  double alpha_ad_nid;
    130  double c_ad_niv;
    131  double n_ad_niv;
    132  double alpha_ad_niv;
    134  double c_bi_cdi;
    135  double n_bi_cdi;
    136  double alpha_bi_cdi;
    138  double c_bi_nid;
    139  double n_bi_nid;
    140  double alpha_bi_nid;
    142  double c_bi_niv;
    143  double n_bi_niv;
    144  double alpha_bi_niv;
    146  double c_cdi_nid;
    147  double n_cdi_nid;
    148  double alpha_cdi_nid;
    150  double c_cdi_niv;
    151  double n_cdi_niv;
    152  double alpha_cdi_niv;
    154  double c_nid_niv;
    155  double n_nid_niv;
    156  double alpha_nid_niv;
    160  enum potential_shape potential;
    161 
    162  double V0;
    163  double V1;
    164  double V2;
    165  double V3;
    166  double V4;
    168  /* parameters describing the case primordial_spec_type = inflation_H */
    169 
    170  double H0;
    171  double H1;
    172  double H2;
    173  double H3;
    174  double H4;
    176  /* parameters describing inflation_V_end */
    177 
    178  double phi_end;
    179  enum phi_pivot_methods phi_pivot_method;
    180  double phi_pivot_target;
    182  /* behavior of the inflation module */
    183  enum inflation_module_behavior behavior;
    187  char* command;
    188  double custom1;
    189  double custom2;
    190  double custom3;
    191  double custom4;
    192  double custom5;
    193  double custom6;
    194  double custom7;
    195  double custom8;
    196  double custom9;
    197  double custom10;
    200 
    204 
    205  int md_size;
    207  int * ic_size;
    209  int * ic_ic_size;
    211  int lnk_size;
    213  double * lnk;
    215  double ** lnpk;
    229  double ** ddlnpk;
    239  short ** is_non_zero;
    245 
    247 
    250  double ** amplitude;
    251  double ** tilt;
    252  double ** running;
    255 
    257 
    261  int index_in_a;
    262  int index_in_phi;
    263  int index_in_dphi;
    264  int index_in_ksi_re;
    265  int index_in_ksi_im;
    266  int index_in_dksi_re;
    267  int index_in_dksi_im;
    268  int index_in_ah_re;
    269  int index_in_ah_im;
    270  int index_in_dah_re;
    271  int index_in_dah_im;
    272  int in_bg_size;
    273  int in_size;
    276 
    280 
    281  double phi_pivot;
    285  double phi_min;
    286  double phi_max;
    287  double phi_stop;
    290 
    294 
    295  short primordial_verbose;
    298 
    299  ErrorMsg error_message;
    301 };
    302 
    303 struct primordial_inflation_parameters_and_workspace {
    304 
    305  struct primordial * ppm;
    306  double N;
    307  double a2;
    308 
    309  double V;
    310  double dV;
    311  double ddV;
    312  double aH;
    313 
    314  double H;
    315  double dH;
    316  double ddH;
    317  double dddH;
    318 
    319  double zpp_over_z;
    320  double app_over_a;
    321 
    322  double k;
    323 
    324  enum integration_direction integrate;
    325  enum time_definition time;
    326 
    327 };
    328 
    329 
    330 /*************************************************************************************************************/
    331 /* @cond INCLUDE_WITH_DOXYGEN */
    332 /*
    333  * Boilerplate for C++
    334  */
    335 #ifdef __cplusplus
    336 extern "C" {
    337 #endif
    338 
    339  int primordial_spectrum_at_k(
    340  struct primordial * ppm,
    341  int index_md,
    342  enum linear_or_logarithmic mode,
    343  double k,
    344  double * pk
    345  );
    346 
    347  int primordial_init(
    348  struct precision * ppr,
    349  struct perturbs * ppt,
    350  struct primordial * ppm
    351  );
    352 
    353  int primordial_free(
    354  struct primordial * ppm
    355  );
    356 
    357  int primordial_indices(
    358  struct perturbs * ppt,
    359  struct primordial * ppm
    360  );
    361 
    362  int primordial_get_lnk_list(
    363  struct primordial * ppm,
    364  double kmin,
    365  double kmax,
    366  double k_per_decade
    367  );
    368 
    369  int primordial_analytic_spectrum_init(
    370  struct perturbs * ppt,
    371  struct primordial * ppm
    372  );
    373 
    374  int primordial_analytic_spectrum(
    375  struct primordial * ppm,
    376  int index_md,
    377  int index_ic1_ic2,
    378  double k,
    379  double * pk
    380  );
    381 
    382  int primordial_inflation_potential(
    383  struct primordial * ppm,
    384  double phi,
    385  double * V,
    386  double * dV,
    387  double * ddV
    388  );
    389 
    390  int primordial_inflation_hubble(
    391  struct primordial * ppm,
    392  double phi,
    393  double * H,
    394  double * dH,
    395  double * ddH,
    396  double * dddH
    397  );
    398 
    399  int primordial_inflation_indices(
    400  struct primordial * ppm
    401  );
    402 
    403  int primordial_inflation_solve_inflation(
    404  struct perturbs * ppt,
    405  struct primordial * ppm,
    406  struct precision * ppr
    407  );
    408 
    409  int primordial_inflation_analytic_spectra(
    410  struct perturbs * ppt,
    411  struct primordial * ppm,
    412  struct precision * ppr,
    413  double * y_ini
    414  );
    415 
    416  int primordial_inflation_spectra(
    417  struct perturbs * ppt,
    418  struct primordial * ppm,
    419  struct precision * ppr,
    420  double * y_ini
    421  );
    422 
    423  int primordial_inflation_one_wavenumber(
    424  struct perturbs * ppt,
    425  struct primordial * ppm,
    426  struct precision * ppr,
    427  double * y_ini,
    428  int index_k
    429  );
    430 
    431  int primordial_inflation_one_k(
    432  struct primordial * ppm,
    433  struct precision * ppr,
    434  double k,
    435  double * y,
    436  double * dy,
    437  double * curvature,
    438  double * tensor
    439  );
    440 
    441  int primordial_inflation_find_attractor(
    442  struct primordial * ppm,
    443  struct precision * ppr,
    444  double phi_0,
    445  double precision,
    446  double * y,
    447  double * dy,
    448  double * H_0,
    449  double * dphidt_0
    450  );
    451 
    452  int primordial_inflation_evolve_background(
    453  struct primordial * ppm,
    454  struct precision * ppr,
    455  double * y,
    456  double * dy,
    457  enum target_quantity target,
    458  double stop,
    459  short check_epsilon,
    460  enum integration_direction direction,
    461  enum time_definition time
    462  );
    463 
    464  int primordial_inflation_check_potential(
    465  struct primordial * ppm,
    466  double phi,
    467  double * V,
    468  double * dV,
    469  double * ddV
    470  );
    471 
    472  int primordial_inflation_check_hubble(
    473  struct primordial * ppm,
    474  double phi,
    475  double *H,
    476  double * dH,
    477  double * ddH,
    478  double * dddH
    479  );
    480 
    481  int primordial_inflation_get_epsilon(
    482  struct primordial * ppm,
    483  double phi,
    484  double * epsilon
    485  );
    486 
    487  int primordial_inflation_find_phi_pivot(
    488  struct primordial * ppm,
    489  struct precision * ppr,
    490  double * y,
    491  double * dy
    492  );
    493 
    494  int primordial_inflation_derivs(
    495  double tau,
    496  double * y,
    497  double * dy,
    498  void * parameters_and_workspace,
    499  ErrorMsg error_message
    500  );
    501 
    502  int primordial_external_spectrum_init(
    503  struct perturbs * ppt,
    504  struct primordial * ppm
    505  );
    506 
    507  int primordial_output_titles(struct perturbs * ppt,
    508  struct primordial * ppm,
    509  char titles[_MAXTITLESTRINGLENGTH_]
    510  );
    511 
    512  int primordial_output_data(struct perturbs * ppt,
    513  struct primordial * ppm,
    514  int number_of_titles,
    515  double *data);
    516 #ifdef __cplusplus
    517 }
    518 #endif
    519 
    520 /**************************************************************/
    521 
    527 
    528 #define _K_PER_DECADE_PRIMORDIAL_MIN_ 1.
    529 
    531 
    532 #endif
    533 /* @endcond */
    primordial::phi_end
    double phi_end
    Definition: primordial.h:178
    -
    primordial_inflation_indices
    int primordial_inflation_indices(struct primordial *ppm)
    Definition: primordial.c:1072
    -
    primordial::alpha_bi
    double alpha_bi
    Definition: primordial.h:104
    -
    primordial::ic_size
    int * ic_size
    Definition: primordial.h:207
    -
    primordial::H1
    double H1
    Definition: primordial.h:171
    -
    primordial::index_in_dah_im
    int index_in_dah_im
    Definition: primordial.h:271
    -
    primordial::c_cdi_nid
    double c_cdi_nid
    Definition: primordial.h:146
    -
    primordial::n_bi_nid
    double n_bi_nid
    Definition: primordial.h:139
    -
    primordial::lnk_size
    int lnk_size
    Definition: primordial.h:211
    -
    primordial_external_spectrum_init
    int primordial_external_spectrum_init(struct perturbs *ppt, struct primordial *ppm)
    Definition: primordial.c:3266
    -
    primordial::alpha_ad_bi
    double alpha_ad_bi
    Definition: primordial.h:120
    -
    primordial::c_bi_niv
    double c_bi_niv
    Definition: primordial.h:142
    -
    primordial::c_bi_cdi
    double c_bi_cdi
    Definition: primordial.h:134
    -
    primordial::c_ad_cdi
    double c_ad_cdi
    Definition: primordial.h:122
    -
    primordial_spectrum_at_k
    int primordial_spectrum_at_k(struct primordial *ppm, int index_md, enum linear_or_logarithmic mode, double input, double *output)
    Definition: primordial.c:52
    -
    primordial_free
    int primordial_free(struct primordial *ppm)
    Definition: primordial.c:551
    -
    primordial::H4
    double H4
    Definition: primordial.h:174
    -
    inflation_module_behavior
    inflation_module_behavior
    Definition: primordial.h:67
    -
    primordial::behavior
    enum inflation_module_behavior behavior
    Definition: primordial.h:183
    -
    perturbs
    Definition: perturbations.h:95
    -
    time_definition
    time_definition
    Definition: primordial.h:52
    -
    primordial::H0
    double H0
    Definition: primordial.h:170
    -
    primordial::potential
    enum potential_shape potential
    Definition: primordial.h:160
    -
    primordial_inflation_one_wavenumber
    int primordial_inflation_one_wavenumber(struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini, int index_k)
    Definition: primordial.c:1685
    -
    primordial::ddlnpk
    double ** ddlnpk
    Definition: primordial.h:229
    -
    primordial::alpha_t
    double alpha_t
    Definition: primordial.h:100
    -
    primordial::primordial_spec_type
    enum primordial_spectrum_type primordial_spec_type
    Definition: primordial.h:89
    -
    primordial_get_lnk_list
    int primordial_get_lnk_list(struct primordial *ppm, double kmin, double kmax, double k_per_decade)
    Definition: primordial.c:655
    -
    primordial::V1
    double V1
    Definition: primordial.h:163
    -
    primordial::custom5
    double custom5
    Definition: primordial.h:192
    -
    primordial::A_s
    double A_s
    Definition: primordial.h:93
    -
    primordial::n_nid_niv
    double n_nid_niv
    Definition: primordial.h:155
    -
    primordial::tilt
    double ** tilt
    Definition: primordial.h:251
    -
    primordial::f_niv
    double f_niv
    Definition: primordial.h:114
    -
    primordial::custom4
    double custom4
    Definition: primordial.h:191
    -
    primordial::index_in_ah_re
    int index_in_ah_re
    Definition: primordial.h:268
    -
    primordial::index_in_ksi_re
    int index_in_ksi_re
    Definition: primordial.h:264
    -
    primordial_inflation_check_potential
    int primordial_inflation_check_potential(struct primordial *ppm, double phi, double *V, double *dV, double *ddV)
    Definition: primordial.c:2401
    -
    primordial::alpha_s
    double alpha_s
    Definition: primordial.h:95
    -
    primordial::n_ad_bi
    double n_ad_bi
    Definition: primordial.h:119
    -
    primordial::alpha_niv
    double alpha_niv
    Definition: primordial.h:116
    -
    integration_direction
    integration_direction
    Definition: primordial.h:45
    -
    primordial::n_t
    double n_t
    Definition: primordial.h:99
    -
    primordial::alpha_ad_cdi
    double alpha_ad_cdi
    Definition: primordial.h:124
    -
    primordial_inflation_analytic_spectra
    int primordial_inflation_analytic_spectra(struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini)
    Definition: primordial.c:1512
    -
    primordial::V2
    double V2
    Definition: primordial.h:164
    -
    primordial::phi_stop
    double phi_stop
    Definition: primordial.h:287
    -
    primordial::c_bi_nid
    double c_bi_nid
    Definition: primordial.h:138
    -
    primordial::index_in_ksi_im
    int index_in_ksi_im
    Definition: primordial.h:265
    -
    primordial_inflation_evolve_background
    int primordial_inflation_evolve_background(struct primordial *ppm, struct precision *ppr, double *y, double *dy, enum target_quantity target, double stop, short check_epsilon, enum integration_direction direction, enum time_definition time)
    Definition: primordial.c:2074
    -
    primordial::phi_max
    double phi_max
    Definition: primordial.h:286
    -
    target_quantity
    target_quantity
    Definition: primordial.h:36
    -
    primordial::amplitude
    double ** amplitude
    Definition: primordial.h:250
    -
    primordial_inflation_potential
    int primordial_inflation_potential(struct primordial *ppm, double phi, double *V, double *dV, double *ddV)
    Definition: primordial.c:963
    -
    primordial::error_message
    ErrorMsg error_message
    Definition: primordial.h:299
    -
    primordial::n_cdi_nid
    double n_cdi_nid
    Definition: primordial.h:147
    -
    primordial_inflation_hubble
    int primordial_inflation_hubble(struct primordial *ppm, double phi, double *H, double *dH, double *ddH, double *dddH)
    Definition: primordial.c:1048
    -
    primordial::c_ad_niv
    double c_ad_niv
    Definition: primordial.h:130
    -
    primordial::n_bi
    double n_bi
    Definition: primordial.h:103
    -
    primordial::custom7
    double custom7
    Definition: primordial.h:194
    -
    primordial::phi_pivot_method
    enum phi_pivot_methods phi_pivot_method
    Definition: primordial.h:179
    -
    primordial::f_nid
    double f_nid
    Definition: primordial.h:110
    -
    primordial::custom6
    double custom6
    Definition: primordial.h:193
    -
    primordial::custom3
    double custom3
    Definition: primordial.h:190
    -
    primordial::running
    double ** running
    Definition: primordial.h:252
    -
    primordial::n_ad_niv
    double n_ad_niv
    Definition: primordial.h:131
    -
    primordial::alpha_nid
    double alpha_nid
    Definition: primordial.h:112
    -
    primordial::phi_pivot
    double phi_pivot
    Definition: primordial.h:281
    -
    primordial_inflation_find_phi_pivot
    int primordial_inflation_find_phi_pivot(struct primordial *ppm, struct precision *ppr, double *y, double *dy)
    Definition: primordial.c:2534
    -
    primordial::n_ad_cdi
    double n_ad_cdi
    Definition: primordial.h:123
    -
    primordial::V3
    double V3
    Definition: primordial.h:165
    -
    primordial::H2
    double H2
    Definition: primordial.h:172
    -
    potential_shape
    potential_shape
    Definition: primordial.h:28
    -
    primordial::lnk
    double * lnk
    Definition: primordial.h:213
    -
    primordial::c_cdi_niv
    double c_cdi_niv
    Definition: primordial.h:150
    -
    primordial_inflation_one_k
    int primordial_inflation_one_k(struct primordial *ppm, struct precision *ppr, double k, double *y, double *dy, double *curvature, double *tensor)
    Definition: primordial.c:1774
    -
    primordial::alpha_bi_nid
    double alpha_bi_nid
    Definition: primordial.h:140
    -
    primordial::custom9
    double custom9
    Definition: primordial.h:196
    -
    primordial::V4
    double V4
    Definition: primordial.h:166
    -
    primordial::n_s
    double n_s
    Definition: primordial.h:94
    -
    primordial::H3
    double H3
    Definition: primordial.h:173
    -
    primordial::n_cdi_niv
    double n_cdi_niv
    Definition: primordial.h:151
    -
    primordial::alpha_ad_niv
    double alpha_ad_niv
    Definition: primordial.h:132
    -
    primordial::n_ad_nid
    double n_ad_nid
    Definition: primordial.h:127
    -
    primordial::alpha_ad_nid
    double alpha_ad_nid
    Definition: primordial.h:128
    -
    primordial_analytic_spectrum_init
    int primordial_analytic_spectrum_init(struct perturbs *ppt, struct primordial *ppm)
    Definition: primordial.c:690
    -
    primordial_indices
    int primordial_indices(struct perturbs *ppt, struct primordial *ppm)
    Definition: primordial.c:600
    -
    primordial::c_nid_niv
    double c_nid_niv
    Definition: primordial.h:154
    -
    primordial::k_pivot
    double k_pivot
    Definition: primordial.h:87
    -
    primordial_spectrum_type
    primordial_spectrum_type
    Definition: primordial.h:10
    -
    primordial::index_in_dksi_im
    int index_in_dksi_im
    Definition: primordial.h:267
    -
    primordial::custom8
    double custom8
    Definition: primordial.h:195
    -
    primordial_inflation_derivs
    int primordial_inflation_derivs(double tau, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: primordial.c:3060
    -
    primordial::n_nid
    double n_nid
    Definition: primordial.h:111
    -
    primordial::index_in_dksi_re
    int index_in_dksi_re
    Definition: primordial.h:266
    -
    primordial::custom1
    double custom1
    Definition: primordial.h:188
    -
    primordial_inflation_spectra
    int primordial_inflation_spectra(struct perturbs *ppt, struct primordial *ppm, struct precision *ppr, double *y_ini)
    Definition: primordial.c:1588
    -
    primordial_inflation_check_hubble
    int primordial_inflation_check_hubble(struct primordial *ppm, double phi, double *H, double *dH, double *ddH, double *dddH)
    Definition: primordial.c:2443
    -
    primordial_inflation_get_epsilon
    int primordial_inflation_get_epsilon(struct primordial *ppm, double phi, double *epsilon)
    Definition: primordial.c:2481
    -
    primordial::f_bi
    double f_bi
    Definition: primordial.h:102
    -
    primordial::n_niv
    double n_niv
    Definition: primordial.h:115
    -
    primordial_analytic_spectrum
    int primordial_analytic_spectrum(struct primordial *ppm, int index_md, int index_ic1_ic2, double k, double *pk)
    Definition: primordial.c:930
    -
    primordial::c_ad_nid
    double c_ad_nid
    Definition: primordial.h:126
    -
    primordial::primordial_verbose
    short primordial_verbose
    Definition: primordial.h:295
    -
    primordial::c_ad_bi
    double c_ad_bi
    Definition: primordial.h:118
    -
    primordial::lnpk
    double ** lnpk
    Definition: primordial.h:215
    -
    primordial::r
    double r
    Definition: primordial.h:98
    -
    primordial::phi_pivot_target
    double phi_pivot_target
    Definition: primordial.h:180
    -
    primordial::index_in_a
    int index_in_a
    Definition: primordial.h:261
    -
    primordial::is_non_zero
    short ** is_non_zero
    Definition: primordial.h:239
    -
    primordial::alpha_nid_niv
    double alpha_nid_niv
    Definition: primordial.h:156
    -
    primordial::alpha_cdi
    double alpha_cdi
    Definition: primordial.h:108
    -
    phi_pivot_methods
    phi_pivot_methods
    Definition: primordial.h:59
    -
    primordial::custom10
    double custom10
    Definition: primordial.h:197
    -
    linear_or_logarithmic
    linear_or_logarithmic
    Definition: primordial.h:21
    -
    primordial::V0
    double V0
    Definition: primordial.h:162
    -
    primordial::f_cdi
    double f_cdi
    Definition: primordial.h:106
    - -
    primordial::alpha_cdi_niv
    double alpha_cdi_niv
    Definition: primordial.h:152
    -
    primordial::index_in_dah_re
    int index_in_dah_re
    Definition: primordial.h:270
    -
    precision
    Definition: common.h:345
    -
    primordial
    Definition: primordial.h:79
    -
    primordial_init
    int primordial_init(struct precision *ppr, struct perturbs *ppt, struct primordial *ppm)
    Definition: primordial.c:186
    -
    primordial::custom2
    double custom2
    Definition: primordial.h:189
    -
    primordial::index_in_dphi
    int index_in_dphi
    Definition: primordial.h:263
    -
    primordial_inflation_find_attractor
    int primordial_inflation_find_attractor(struct primordial *ppm, struct precision *ppr, double phi_0, double precision, double *y, double *dy, double *H_0, double *dphidt_0)
    Definition: primordial.c:1937
    -
    primordial::md_size
    int md_size
    Definition: primordial.h:205
    -
    primordial::phi_min
    double phi_min
    Definition: primordial.h:285
    -
    primordial::in_bg_size
    int in_bg_size
    Definition: primordial.h:272
    -
    primordial::alpha_cdi_nid
    double alpha_cdi_nid
    Definition: primordial.h:148
    -
    primordial_inflation_solve_inflation
    int primordial_inflation_solve_inflation(struct perturbs *ppt, struct primordial *ppm, struct precision *ppr)
    Definition: primordial.c:1129
    -
    primordial::ic_ic_size
    int * ic_ic_size
    Definition: primordial.h:209
    -
    primordial::alpha_bi_niv
    double alpha_bi_niv
    Definition: primordial.h:144
    -
    primordial::n_bi_cdi
    double n_bi_cdi
    Definition: primordial.h:135
    -
    primordial::alpha_bi_cdi
    double alpha_bi_cdi
    Definition: primordial.h:136
    -
    primordial::n_cdi
    double n_cdi
    Definition: primordial.h:107
    -
    primordial::n_bi_niv
    double n_bi_niv
    Definition: primordial.h:143
    -
    primordial::command
    char * command
    Definition: primordial.h:187
    -
    primordial::in_size
    int in_size
    Definition: primordial.h:273
    -
    primordial::index_in_phi
    int index_in_phi
    Definition: primordial.h:262
    -
    primordial::index_in_ah_im
    int index_in_ah_im
    Definition: primordial.h:269
    -
    primordial::beta_s
    double beta_s
    Definition: primordial.h:96
    -
    -
    - - - - diff --git a/doc/manual/html/primordial_8h_structprimordial.js b/doc/manual/html/primordial_8h_structprimordial.js deleted file mode 100644 index 47369ff8..00000000 --- a/doc/manual/html/primordial_8h_structprimordial.js +++ /dev/null @@ -1,110 +0,0 @@ -var primordial_8h_structprimordial = -[ - [ "k_pivot", "primordial_8h.html#a992d363635a9688b5856ab14d2a6fa6a", null ], - [ "primordial_spec_type", "primordial_8h.html#a09788ccd5ad0318530fd237cb59812e0", null ], - [ "A_s", "primordial_8h.html#aa0f16cc1899ef595fff193fee7639933", null ], - [ "n_s", "primordial_8h.html#a35c0cac2ba15fbd45c292d9f9acfdcb5", null ], - [ "alpha_s", "primordial_8h.html#a39ec328f426b9c2106552891ff6556a2", null ], - [ "beta_s", "primordial_8h.html#ac78506262298c09f9f3caa8921dae17f", null ], - [ "r", "primordial_8h.html#acbf7275d9770757fd9f0c81b6d87a62f", null ], - [ "n_t", "primordial_8h.html#ab3b9abb6ff0b52dc69c5c30f047534e6", null ], - [ "alpha_t", "primordial_8h.html#a363c64dd8659db8e52aaf175cf55b1fb", null ], - [ "f_bi", "primordial_8h.html#a39effc6417460af3d49d9bdfadc4e9ba", null ], - [ "n_bi", "primordial_8h.html#a080a64221ae8da7e06f3bf884fab961b", null ], - [ "alpha_bi", "primordial_8h.html#a16ffcc69dd37cf5167f7fa6329b58cac", null ], - [ "f_cdi", "primordial_8h.html#aa8472691ad4a9e278ef4204b4ded7f39", null ], - [ "n_cdi", "primordial_8h.html#a90feb32706083c529950dacfd4a173a2", null ], - [ "alpha_cdi", "primordial_8h.html#a0b6a8e9202de3a571560a179f056e0de", null ], - [ "f_nid", "primordial_8h.html#a355f4f1a0f3d07dd585afd90be0d5f33", null ], - [ "n_nid", "primordial_8h.html#af4eafced96e906fb69e4cd9d2bb433e3", null ], - [ "alpha_nid", "primordial_8h.html#aa1fcdb57674b99b5b441a268dd4ab719", null ], - [ "f_niv", "primordial_8h.html#a5c8bfaf9d87e936f5f2d1732e2bdb2ea", null ], - [ "n_niv", "primordial_8h.html#affe995a4bd3d8c978466fd80adc5456a", null ], - [ "alpha_niv", "primordial_8h.html#ad7aa04967d7fab6e374c42c3163780a6", null ], - [ "c_ad_bi", "primordial_8h.html#a35b7d8e65abe6f95dbd14b5879e8fe91", null ], - [ "n_ad_bi", "primordial_8h.html#aa5c4a415981070e3a7065d2ac6500fe5", null ], - [ "alpha_ad_bi", "primordial_8h.html#ad84cf6ba7780ecdd8d2897e744a4c5af", null ], - [ "c_ad_cdi", "primordial_8h.html#aa58017cdb6bfce55e582febac6b7e274", null ], - [ "n_ad_cdi", "primordial_8h.html#a533e6ae3fbb99c73f9cd233656de0486", null ], - [ "alpha_ad_cdi", "primordial_8h.html#a73831eccc087d87cea84f9773d03cbf3", null ], - [ "c_ad_nid", "primordial_8h.html#a941871f34f174a3de50affcfa34642c6", null ], - [ "n_ad_nid", "primordial_8h.html#a6f60aaa4c2e2749b5312d6f752c0f430", null ], - [ "alpha_ad_nid", "primordial_8h.html#aec6a8de0d365cf9f47402ce1285af809", null ], - [ "c_ad_niv", "primordial_8h.html#a2159a195a133cd55ecc4d61c638fd0f5", null ], - [ "n_ad_niv", "primordial_8h.html#a8fb032baa0f74759014fcd912357c8ba", null ], - [ "alpha_ad_niv", "primordial_8h.html#a3e37a5d49f1a0aff540d72454d7d5a30", null ], - [ "c_bi_cdi", "primordial_8h.html#acc872d960271afabd1b2fe3bad69d1ed", null ], - [ "n_bi_cdi", "primordial_8h.html#aebc3532af60c6a594e67a6171d2f018a", null ], - [ "alpha_bi_cdi", "primordial_8h.html#a2f075d7ce415d2efe2f7028f6bb9c938", null ], - [ "c_bi_nid", "primordial_8h.html#a76559d33bf29bbb9b6f72c0f4f490805", null ], - [ "n_bi_nid", "primordial_8h.html#a94a0ab4f4e893b8b6a36f26e55e24c75", null ], - [ "alpha_bi_nid", "primordial_8h.html#afd6a3d4ca1710a29ecb3d0d062faf246", null ], - [ "c_bi_niv", "primordial_8h.html#ac3b1f114df15db4a9095a9fb281aa5d5", null ], - [ "n_bi_niv", "primordial_8h.html#ad854459b4fe856d2e80d0ecb8206610e", null ], - [ "alpha_bi_niv", "primordial_8h.html#add13ba7b464ee067fe3f403868d66df9", null ], - [ "c_cdi_nid", "primordial_8h.html#a60a344c5d21aecbe6812f87e97043f5c", null ], - [ "n_cdi_nid", "primordial_8h.html#adb98626de6ae429d3b62207a0694fb77", null ], - [ "alpha_cdi_nid", "primordial_8h.html#acef1fa2e94fa30edbcb4d702c06c0b89", null ], - [ "c_cdi_niv", "primordial_8h.html#ab69f11f2431dec095b0c71f60a774733", null ], - [ "n_cdi_niv", "primordial_8h.html#aa6cc5d8318d0993ed2934281565433a5", null ], - [ "alpha_cdi_niv", "primordial_8h.html#abd125a9a9487780ea7b4d5520bca47e5", null ], - [ "c_nid_niv", "primordial_8h.html#a421b0bdcfe05eaabfd63cc3eaa63f971", null ], - [ "n_nid_niv", "primordial_8h.html#a73abb8e0b105d288a3bb735744ad7d78", null ], - [ "alpha_nid_niv", "primordial_8h.html#a30900c0eb8257e9987c9cbfbd3e43039", null ], - [ "potential", "primordial_8h.html#a67c22e95069d6402b05dcdee8d742784", null ], - [ "V0", "primordial_8h.html#a982a911c9d7791f6f57a08e7b5b2d040", null ], - [ "V1", "primordial_8h.html#aaf89c06c44c27ea964877e9a3eecba87", null ], - [ "V2", "primordial_8h.html#ab245e3210a89e39e986abfd611df8b6a", null ], - [ "V3", "primordial_8h.html#a68181f8a34cb07f3b930b53bf4c3504b", null ], - [ "V4", "primordial_8h.html#add2c7eca88313f8bbb30237d3f78a02d", null ], - [ "H0", "primordial_8h.html#ab621cf641b1b373c2b83d1b48959f1e8", null ], - [ "H1", "primordial_8h.html#a6565415995e1345211957b0dc6f6d474", null ], - [ "H2", "primordial_8h.html#affa543bbe66af826ca4631b763850bb8", null ], - [ "H3", "primordial_8h.html#a3ce0173998d10166267b65f2c95e5f86", null ], - [ "H4", "primordial_8h.html#a8ae30b2a82b5e5a76dee555d449e2eef", null ], - [ "phi_end", "primordial_8h.html#aea80e519fa0ce2fdf2b4820af05b3c15", null ], - [ "phi_pivot_method", "primordial_8h.html#a158bc04234683f9292923a7441597a23", null ], - [ "phi_pivot_target", "primordial_8h.html#adb92236c8b8be2aeb8735c11c1a53db7", null ], - [ "behavior", "primordial_8h.html#ab464fedeeee3046d56ab92e193e9d5fb", null ], - [ "command", "primordial_8h.html#a3ee1124987e79d818ad2987c3a9dfe29", null ], - [ "custom1", "primordial_8h.html#aa9b94fec07f3dbd612b95d326e125214", null ], - [ "custom2", "primordial_8h.html#a13db350a385d3802a9061bc0128c6803", null ], - [ "custom3", "primordial_8h.html#ac78bc0e328981d0a3bbc80407f4db44a", null ], - [ "custom4", "primordial_8h.html#a8655e570945546313665e11cabdd2a02", null ], - [ "custom5", "primordial_8h.html#aeae05d528aec4c4b9c2a905d63dd2b29", null ], - [ "custom6", "primordial_8h.html#afe791ab320c73f942942654cd5cb3874", null ], - [ "custom7", "primordial_8h.html#a35690744dc4e460cbbfd880e3a57b307", null ], - [ "custom8", "primordial_8h.html#a698f3572e5bc05d7ccaef7e96f4b73eb", null ], - [ "custom9", "primordial_8h.html#a286e9e0de38f5f755f6b48da930aa2dc", null ], - [ "custom10", "primordial_8h.html#afb27e679a3c3e6a92f8cd4cc07a4596a", null ], - [ "md_size", "primordial_8h.html#adb653bc4b8147c7975500778cfc91cf4", null ], - [ "ic_size", "primordial_8h.html#aafdffaddd6bf88e0ab20ff1cd7c98ada", null ], - [ "ic_ic_size", "primordial_8h.html#a07491e43f7d49a482b4933bbcc5ab863", null ], - [ "lnk_size", "primordial_8h.html#afb8b1450e80fad605dbd86f45f985683", null ], - [ "lnk", "primordial_8h.html#af4d42a04be39689f90d2c9271fc58adb", null ], - [ "lnpk", "primordial_8h.html#abd07e09bb1fcbc79692b2abd8ccf4b1e", null ], - [ "ddlnpk", "primordial_8h.html#a0ab953a61c9b5acc8fef42189c373066", null ], - [ "is_non_zero", "primordial_8h.html#a9bda65132bae13af43610cc3968415eb", null ], - [ "amplitude", "primordial_8h.html#a9630a4e6af1b9914fa70faebb1595bc0", null ], - [ "tilt", "primordial_8h.html#a1a8d47fb814ced6a0984f2be49e00211", null ], - [ "running", "primordial_8h.html#ad545b2b62cc88e2ae07df659aad92e07", null ], - [ "index_in_a", "primordial_8h.html#a3bad57f1f09247e009931ca18f90b18b", null ], - [ "index_in_phi", "primordial_8h.html#a94172d7b5672c3cc3a4ffb76bea94f75", null ], - [ "index_in_dphi", "primordial_8h.html#aaa52b1ee0b41c9bc458e5cd85e69ca9e", null ], - [ "index_in_ksi_re", "primordial_8h.html#a2795fe40be88d791a351fba76104584c", null ], - [ "index_in_ksi_im", "primordial_8h.html#a69c742a47764298d8583712cd0010cc0", null ], - [ "index_in_dksi_re", "primordial_8h.html#a32df0c3f20477101063a2623e3e7d08e", null ], - [ "index_in_dksi_im", "primordial_8h.html#a8d6a98904ab8543f72aaf620d4c74dc4", null ], - [ "index_in_ah_re", "primordial_8h.html#ab78a3ce2a71acaf37d40fdd69e46c534", null ], - [ "index_in_ah_im", "primordial_8h.html#ad175238b397a4bd4aa6b3107fb997940", null ], - [ "index_in_dah_re", "primordial_8h.html#a946f8285f62cf37e2aee687d6f93f2c4", null ], - [ "index_in_dah_im", "primordial_8h.html#a83d532cbcf0325f00adf1db329f51fb3", null ], - [ "in_bg_size", "primordial_8h.html#a77c9ecf27ef37e9b6076a04ba773122c", null ], - [ "in_size", "primordial_8h.html#a18b8d9da6a18ca2a7b0ad2270be60d68", null ], - [ "phi_pivot", "primordial_8h.html#a30705149872b96ec4918f303339b48d3", null ], - [ "phi_min", "primordial_8h.html#ac470bf4fc3baaf6a566fe84e7e393751", null ], - [ "phi_max", "primordial_8h.html#aa83e0948e492273933d482c0734db375", null ], - [ "phi_stop", "primordial_8h.html#a7e1f0626b0ed574e46bdff7b20c2cffc", null ], - [ "primordial_verbose", "primordial_8h.html#abe8dcda501378777a148f440f949fb14", null ], - [ "error_message", "primordial_8h.html#ab6d0c136fc05447ed3c3c2a50277571c", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/quadrature_8h_source.html b/doc/manual/html/quadrature_8h_source.html deleted file mode 100644 index 0403ae4e..00000000 --- a/doc/manual/html/quadrature_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: quadrature.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    quadrature.h
    -
    -
    -
    1 #ifndef __QSS__
    2 #define __QSS__
    3 
    4 #define _MIN_NUMBER_OF_LAGUERRE_POINTS_ 5
    5 
    6 /******************************************/
    7 /* Quadrature Sampling Strategy for CLASS */
    8 /* 10/12 2010 */
    9 /* Thomas Tram */
    10 /******************************************/
    11 #include "common.h"
    12 
    13 enum ncdm_quadrature_method {qm_auto, qm_Laguerre, qm_trapz_indefinite, qm_trapz};
    14 
    15 /* Structures for QSS */
    16 
    17 typedef struct adaptive_integration_tree_node{
    18  /* binary tree node: */
    19  double I; /* Estimate of integral */
    20  double err; /* Estimated error */
    21  double *x; /* Pointer to the abscissas of node */
    22  double *w; /* Pointer to the corresponding weights */
    23  int leaf_childs;/* Number of leafs under current node. 1 means that the node is a leaf. */
    24  /* Pointer to children: */
    25  struct adaptive_integration_tree_node *left, *right; /* Pointer to left child. */
    26 } qss_node;
    27 
    31 #ifdef __cplusplus
    32  extern "C" {
    33 #endif
    34  int get_qsampling(double *x,
    35  double *w,
    36  int *N,
    37  int N_max, double rtol,
    38  double *qvec,
    39  int qsiz,
    40  int (*test)(void * params_for_function, double q, double *psi),
    41  int (*function)(void * params_for_function, double q, double *f0),
    42  void * params_for_function,
    43  ErrorMsg errmsg);
    44  int get_qsampling_manual(double *x,
    45  double *w,
    46  int N,
    47  double qmax,
    48  enum ncdm_quadrature_method method,
    49  double *qvec,
    50  int qsiz,
    51  int (*function)(void * params_for_function, double q, double *f0),
    52  void * params_for_function,
    53  ErrorMsg errmsg);
    54 
    55  int sort_x_and_w(double *x, double *w, double *workx, double *workw, int startidx, int endidx);
    56  int get_leaf_x_and_w(qss_node *node, int *ind, double *x, double *w,int isindefinite);
    57  int reduce_tree(qss_node *node, int level);
    58  int burn_tree(qss_node *node);
    59  int leaf_count(qss_node *node);
    60  double get_integral(qss_node *node, int level);
    61  int gk_adapt(
    62  qss_node **node,
    63  int (*test)(void * params_for_function, double q, double *psi),
    64  int (*function)(void * params_for_function, double q, double *f0),
    65  void * params_for_function,
    66  double tol,
    67  int treemode,
    68  double a,
    69  double b,
    70  int isindefinite,
    71  ErrorMsg errmsg);
    72  int compute_Hermite(double *x, double *w, int N, int alpha, double *b, double *c);
    73  int compute_Laguerre(double *x, double *w, int N, double alpha, double *b, double *c, int totalweight);
    74  int gk_quad(int (*test)(void * params_for_function, double q, double *psi),
    75  int (*function)(void * params_for_function, double q, double *f0),
    76  void * params_for_function,
    77  qss_node* node,
    78  double a,
    79  double b,
    80  int isindefinite);
    81  double testfun(double x);
    82 
    83  int quadrature_gauss_legendre(
    84  double *mu,
    85  double *w8,
    86  int n,
    87  double tol,
    88  ErrorMsg error_message);
    89 
    90  int quadrature_gauss_legendre_2D(
    91  int n,
    92  double * x,
    93  double * y,
    94  double * w,
    95  ErrorMsg error_message);
    96 
    97  int quadrature_in_rectangle(
    98  double xl,
    99  double xr,
    100  double yl,
    101  double yr,
    102  int *n,
    103  double ** x,
    104  double ** y,
    105  double ** w,
    106  ErrorMsg error_message);
    107 
    108  int cubature_order_eleven(
    109  double xl,
    110  double xr,
    111  double yl,
    112  double yr,
    113  double *x,
    114  double *y,
    115  double *w,
    116  ErrorMsg error_message);
    117 
    118 
    119 #ifdef __cplusplus
    120  }
    121 #endif
    122 
    123 
    124 #endif
    -
    -
    - - - - diff --git a/doc/manual/html/resize.js b/doc/manual/html/resize.js deleted file mode 100644 index 56e4a023..00000000 --- a/doc/manual/html/resize.js +++ /dev/null @@ -1,114 +0,0 @@ -function initResizable() -{ - var cookie_namespace = 'doxygen'; - var sidenav,navtree,content,header,collapsed,collapsedWidth=0,barWidth=6,desktop_vp=768,titleHeight; - - function readCookie(cookie) - { - var myCookie = cookie_namespace+"_"+cookie+"="; - if (document.cookie) { - var index = document.cookie.indexOf(myCookie); - if (index != -1) { - var valStart = index + myCookie.length; - var valEnd = document.cookie.indexOf(";", valStart); - if (valEnd == -1) { - valEnd = document.cookie.length; - } - var val = document.cookie.substring(valStart, valEnd); - return val; - } - } - return 0; - } - - function writeCookie(cookie, val, expiration) - { - if (val==undefined) return; - if (expiration == null) { - var date = new Date(); - date.setTime(date.getTime()+(10*365*24*60*60*1000)); // default expiration is one week - expiration = date.toGMTString(); - } - document.cookie = cookie_namespace + "_" + cookie + "=" + val + "; expires=" + expiration+"; path=/"; - } - - function resizeWidth() - { - var windowWidth = $(window).width() + "px"; - var sidenavWidth = $(sidenav).outerWidth(); - content.css({marginLeft:parseInt(sidenavWidth)+"px"}); - writeCookie('width',sidenavWidth-barWidth, null); - } - - function restoreWidth(navWidth) - { - var windowWidth = $(window).width() + "px"; - content.css({marginLeft:parseInt(navWidth)+barWidth+"px"}); - sidenav.css({width:navWidth + "px"}); - } - - function resizeHeight() - { - var headerHeight = header.outerHeight(); - var footerHeight = footer.outerHeight(); - var windowHeight = $(window).height() - headerHeight - footerHeight; - content.css({height:windowHeight + "px"}); - navtree.css({height:windowHeight + "px"}); - sidenav.css({height:windowHeight + "px"}); - var width=$(window).width(); - if (width!=collapsedWidth) { - if (width=desktop_vp) { - if (!collapsed) { - collapseExpand(); - } - } else if (width>desktop_vp && collapsedWidth0) { - restoreWidth(0); - collapsed=true; - } - else { - var width = readCookie('width'); - if (width>200 && width<$(window).width()) { restoreWidth(width); } else { restoreWidth(200); } - collapsed=false; - } - } - - header = $("#top"); - sidenav = $("#side-nav"); - content = $("#doc-content"); - navtree = $("#nav-tree"); - footer = $("#nav-path"); - $(".side-nav-resizable").resizable({resize: function(e, ui) { resizeWidth(); } }); - $(sidenav).resizable({ minWidth: 0 }); - $(window).resize(function() { resizeHeight(); }); - var device = navigator.userAgent.toLowerCase(); - var touch_device = device.match(/(iphone|ipod|ipad|android)/); - if (touch_device) { /* wider split bar for touch only devices */ - $(sidenav).css({ paddingRight:'20px' }); - $('.ui-resizable-e').css({ width:'20px' }); - $('#nav-sync').css({ right:'34px' }); - barWidth=20; - } - var width = readCookie('width'); - if (width) { restoreWidth(width); } else { resizeWidth(); } - resizeHeight(); - var url = location.href; - var i=url.indexOf("#"); - if (i>=0) window.location.hash=url.substr(i); - var _preventDefault = function(evt) { evt.preventDefault(); }; - $("#splitbar").bind("dragstart", _preventDefault).bind("selectstart", _preventDefault); - $(".ui-resizable-handle").dblclick(collapseExpand); - $(window).load(resizeHeight); -} - - diff --git a/doc/manual/html/search/all_0.html b/doc/manual/html/search/all_0.html deleted file mode 100644 index f25360b7..00000000 --- a/doc/manual/html/search/all_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_0.js b/doc/manual/html/search/all_0.js deleted file mode 100644 index 3679d0d8..00000000 --- a/doc/manual/html/search/all_0.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['_5fm_5fev_5ftoo_5fbig_5ffor_5fhalofit_5f',['_M_EV_TOO_BIG_FOR_HALOFIT_',['../nonlinear_8h.html#a2bae60634b6fc5f82424ffb1f46ac172',1,'nonlinear.h']]], - ['_5fmax_5fnumber_5fof_5fk_5ffiles_5f',['_MAX_NUMBER_OF_K_FILES_',['../perturbations_8h.html#a1baeb730684adab0a981f1e3528303c5',1,'perturbations.h']]], - ['_5fselection_5fnum_5fmax_5f',['_SELECTION_NUM_MAX_',['../perturbations_8h.html#afb3227061c928d5a8882a7b8a933aba7',1,'perturbations.h']]], - ['_5fyhe_5fbig_5f',['_YHE_BIG_',['../thermodynamics_8h.html#acbafc70129dd9657b0377735e5cd99e1',1,'thermodynamics.h']]], - ['_5fyhe_5fsmall_5f',['_YHE_SMALL_',['../thermodynamics_8h.html#a8fbd5bfe2788808e5f3df7c24ce9173d',1,'thermodynamics.h']]], - ['_5fz_5fpk_5fnum_5fmax_5f',['_Z_PK_NUM_MAX_',['../output_8h.html#ad1fd7b52b9596abaee90e5523ec5fe8e',1,'output.h']]] -]; diff --git a/doc/manual/html/search/all_1.html b/doc/manual/html/search/all_1.html deleted file mode 100644 index b13f0f7f..00000000 --- a/doc/manual/html/search/all_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_1.js b/doc/manual/html/search/all_1.js deleted file mode 100644 index dd0d4df2..00000000 --- a/doc/manual/html/search/all_1.js +++ /dev/null @@ -1,52 +0,0 @@ -var searchData= -[ - ['a_5feq',['a_eq',['../background_8h.html#aa0ad2aa08ed53a47ca0b44a65bff6870',1,'background']]], - ['a_5fini_5fover_5fa_5ftoday_5fdefault',['a_ini_over_a_today_default',['../common_8h.html#aad54dc307fbda7514b045d1bb75a174a',1,'precision']]], - ['a_5fs',['A_s',['../primordial_8h.html#aa0f16cc1899ef595fff193fee7639933',1,'primordial']]], - ['a_5ftoday',['a_today',['../background_8h.html#a383ea35b2eda4f1849b9be48048344e5',1,'background']]], - ['accurate_5flensing',['accurate_lensing',['../common_8h.html#a68db439b8c6c4f86e6ed4bddf622048a',1,'precision']]], - ['age',['age',['../background_8h.html#a369a4c5c388a06aa9fc7b348fa07a898',1,'background']]], - ['alpha_5fad_5fbi',['alpha_ad_bi',['../primordial_8h.html#ad84cf6ba7780ecdd8d2897e744a4c5af',1,'primordial']]], - ['alpha_5fad_5fcdi',['alpha_ad_cdi',['../primordial_8h.html#a73831eccc087d87cea84f9773d03cbf3',1,'primordial']]], - ['alpha_5fad_5fnid',['alpha_ad_nid',['../primordial_8h.html#aec6a8de0d365cf9f47402ce1285af809',1,'primordial']]], - ['alpha_5fad_5fniv',['alpha_ad_niv',['../primordial_8h.html#a3e37a5d49f1a0aff540d72454d7d5a30',1,'primordial']]], - ['alpha_5fbi',['alpha_bi',['../primordial_8h.html#a16ffcc69dd37cf5167f7fa6329b58cac',1,'primordial']]], - ['alpha_5fbi_5fcdi',['alpha_bi_cdi',['../primordial_8h.html#a2f075d7ce415d2efe2f7028f6bb9c938',1,'primordial']]], - ['alpha_5fbi_5fnid',['alpha_bi_nid',['../primordial_8h.html#afd6a3d4ca1710a29ecb3d0d062faf246',1,'primordial']]], - ['alpha_5fbi_5fniv',['alpha_bi_niv',['../primordial_8h.html#add13ba7b464ee067fe3f403868d66df9',1,'primordial']]], - ['alpha_5fcdi',['alpha_cdi',['../primordial_8h.html#a0b6a8e9202de3a571560a179f056e0de',1,'primordial']]], - ['alpha_5fcdi_5fnid',['alpha_cdi_nid',['../primordial_8h.html#acef1fa2e94fa30edbcb4d702c06c0b89',1,'primordial']]], - ['alpha_5fcdi_5fniv',['alpha_cdi_niv',['../primordial_8h.html#abd125a9a9487780ea7b4d5520bca47e5',1,'primordial']]], - ['alpha_5fii_5f201_5f2500',['alpha_II_201_2500',['../spectra_8h.html#aa1ddedcb319bc95943715d815bf16f99',1,'spectra']]], - ['alpha_5fii_5f21_5f200',['alpha_II_21_200',['../spectra_8h.html#a39464a2bc81215af9b96b638c8bbdcdc',1,'spectra']]], - ['alpha_5fii_5f2_5f20',['alpha_II_2_20',['../spectra_8h.html#a1f4f455ce01dbf67303d5b241d481486',1,'spectra']]], - ['alpha_5fii_5f2_5f2500',['alpha_II_2_2500',['../spectra_8h.html#aa4c9d3a59c59461531006a0860e67611',1,'spectra']]], - ['alpha_5fk1',['alpha_k1',['../spectra_8h.html#abdf1df0f03ba826bf885214480cdb65f',1,'spectra']]], - ['alpha_5fk2',['alpha_k2',['../spectra_8h.html#a16521887ee890f6d502e30c2e98a363b',1,'spectra']]], - ['alpha_5fkp',['alpha_kp',['../spectra_8h.html#afabd0ffd8dcfeaf6291cf19ae90dabf7',1,'spectra']]], - ['alpha_5fnid',['alpha_nid',['../primordial_8h.html#aa1fcdb57674b99b5b441a268dd4ab719',1,'primordial']]], - ['alpha_5fnid_5fniv',['alpha_nid_niv',['../primordial_8h.html#a30900c0eb8257e9987c9cbfbd3e43039',1,'primordial']]], - ['alpha_5fniv',['alpha_niv',['../primordial_8h.html#ad7aa04967d7fab6e374c42c3163780a6',1,'primordial']]], - ['alpha_5fri_5f201_5f2500',['alpha_RI_201_2500',['../spectra_8h.html#a016a7253aa6c532a95b8cffec367694b',1,'spectra']]], - ['alpha_5fri_5f21_5f200',['alpha_RI_21_200',['../spectra_8h.html#a8162e028bb6037b6a585c2822b7221b8',1,'spectra']]], - ['alpha_5fri_5f2_5f20',['alpha_RI_2_20',['../spectra_8h.html#ad5052944a7d98cf5c23ed39c89c441cd',1,'spectra']]], - ['alpha_5fri_5f2_5f2500',['alpha_RI_2_2500',['../spectra_8h.html#afbf6ec0b5ac12efeaa2544b0726f24c1',1,'spectra']]], - ['alpha_5frr_5f201_5f2500',['alpha_RR_201_2500',['../spectra_8h.html#ae415a068bcc1caa9820e9c214707fff2',1,'spectra']]], - ['alpha_5frr_5f21_5f200',['alpha_RR_21_200',['../spectra_8h.html#adfc8ae68109aa299e4141f0ab597d431',1,'spectra']]], - ['alpha_5frr_5f2_5f20',['alpha_RR_2_20',['../spectra_8h.html#aa467d70f560adcabbd0f589f40a242c8',1,'spectra']]], - ['alpha_5frr_5f2_5f2500',['alpha_RR_2_2500',['../spectra_8h.html#a82a56f7919678728f1a9b695deabc104',1,'spectra']]], - ['alpha_5fs',['alpha_s',['../primordial_8h.html#a39ec328f426b9c2106552891ff6556a2',1,'primordial']]], - ['alpha_5ft',['alpha_t',['../primordial_8h.html#a363c64dd8659db8e52aaf175cf55b1fb',1,'primordial']]], - ['amplitude',['amplitude',['../primordial_8h.html#a9630a4e6af1b9914fa70faebb1595bc0',1,'primordial']]], - ['angular_5frescaling',['angular_rescaling',['../thermodynamics_8h.html#aff24e182af74c2aba44ebd261c439a30',1,'thermo::angular_rescaling()'],['../transfer_8h.html#ae6b712f4da87f45c21db8f4a4c05d7fa',1,'transfers::angular_rescaling()']]], - ['annihilation',['annihilation',['../thermodynamics_8h.html#ae415dbb7614aa005deb5517d6f0548e3',1,'thermo::annihilation()'],['../thermodynamics_8h.html#a8c70a5cdc49ece851c63fedcf97a1c80',1,'recombination::annihilation()']]], - ['annihilation_5ff_5fhalo',['annihilation_f_halo',['../thermodynamics_8h.html#acd516b6887613e52e9ebc3d2616e5b70',1,'thermo::annihilation_f_halo()'],['../thermodynamics_8h.html#a1ffa8b3a0310bbc9a33d6a3e5ecff09a',1,'recombination::annihilation_f_halo()']]], - ['annihilation_5fvariation',['annihilation_variation',['../thermodynamics_8h.html#ae8ad0e0cfdc0249cafd89c117cf17274',1,'thermo::annihilation_variation()'],['../thermodynamics_8h.html#a688ab202ff8f75f450ca8a801e9ed073',1,'recombination::annihilation_variation()']]], - ['annihilation_5fz',['annihilation_z',['../thermodynamics_8h.html#ac28c28a96161d9cd5de79197c37453bc',1,'thermo::annihilation_z()'],['../thermodynamics_8h.html#ab4938be084697ba35a0d0dbe7f5bbda5',1,'recombination::annihilation_z()']]], - ['annihilation_5fz_5fhalo',['annihilation_z_halo',['../thermodynamics_8h.html#a64f8f97a949b86579bdc382a3ab5ae6c',1,'thermo::annihilation_z_halo()'],['../thermodynamics_8h.html#a694755b3b5b6e2755ef70251335ba276',1,'recombination::annihilation_z_halo()']]], - ['annihilation_5fzmax',['annihilation_zmax',['../thermodynamics_8h.html#a2f3af4a2725b9a48ea5978319e6ab05a',1,'thermo::annihilation_zmax()'],['../thermodynamics_8h.html#aaf316776a09b6e67740eeb0c0fee7a9f',1,'recombination::annihilation_zmax()']]], - ['annihilation_5fzmin',['annihilation_zmin',['../thermodynamics_8h.html#ac05844feb6dd9b8f8b23913fe00e5f77',1,'thermo::annihilation_zmin()'],['../thermodynamics_8h.html#a5c7c0f6e0a8f2757134337dc90ba1569',1,'recombination::annihilation_zmin()']]], - ['ap_5fsize',['ap_size',['../perturbations_8h.html#a050a117be6aa873a44c029a6f5a484e2',1,'perturb_workspace']]], - ['approx',['approx',['../perturbations_8h.html#a8ac1b55117b14d0530bc6789f2815fc0',1,'perturb_workspace']]], - ['attractor_5fic_5fscf',['attractor_ic_scf',['../background_8h.html#a1fffc38240bd5969bfab7fd8319aaa91',1,'background']]] -]; diff --git a/doc/manual/html/search/all_10.html b/doc/manual/html/search/all_10.html deleted file mode 100644 index d1345a1f..00000000 --- a/doc/manual/html/search/all_10.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_10.js b/doc/manual/html/search/all_10.js deleted file mode 100644 index bd27c380..00000000 --- a/doc/manual/html/search/all_10.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['q',['q',['../transfer_8h.html#ae30e3941f8bfc39fb2cf57804c7703b1',1,'transfers']]], - ['q_5flinstep',['q_linstep',['../common_8h.html#a62e37243c95722e36c66d08618d69802',1,'precision']]], - ['q_5flogstep_5fopen',['q_logstep_open',['../common_8h.html#aeffb3906406388c9778ca17f5baa45cd',1,'precision']]], - ['q_5flogstep_5fspline',['q_logstep_spline',['../common_8h.html#a1cc18c3ec1984a62ec83fde3466a3263',1,'precision']]], - ['q_5flogstep_5ftrapzd',['q_logstep_trapzd',['../common_8h.html#a4e957a19ae397686d6dadf4e1fc6075a',1,'precision']]], - ['q_5fncdm',['q_ncdm',['../background_8h.html#af3d60c01da32ca94c422c7ea8738ab56',1,'background']]], - ['q_5fncdm_5fbg',['q_ncdm_bg',['../background_8h.html#ad340bcb42208c72411825c5652b62ef9',1,'background']]], - ['q_5fnumstep_5ftransition',['q_numstep_transition',['../common_8h.html#a678c2efbad7f314da2279699c2d30ba0',1,'precision']]], - ['q_5fsize',['q_size',['../transfer_8h.html#aa36717abc1082ae0c8e6d1562ee067dd',1,'transfers']]], - ['q_5fsize_5fncdm',['q_size_ncdm',['../background_8h.html#aaac0382a4c479123b0e0f836920da6df',1,'background::q_size_ncdm()'],['../perturbations_8h.html#a58a4842cf68d427a5d374729a635f93e',1,'perturb_vector::q_size_ncdm()']]], - ['q_5fsize_5fncdm_5fbg',['q_size_ncdm_bg',['../background_8h.html#a42ed113e1a20b0cb96266a6325ee39de',1,'background']]] -]; diff --git a/doc/manual/html/search/all_11.html b/doc/manual/html/search/all_11.html deleted file mode 100644 index 2be8b711..00000000 --- a/doc/manual/html/search/all_11.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_11.js b/doc/manual/html/search/all_11.js deleted file mode 100644 index 65a3f64b..00000000 --- a/doc/manual/html/search/all_11.js +++ /dev/null @@ -1,79 +0,0 @@ -var searchData= -[ - ['r',['r',['../primordial_8h.html#acbf7275d9770757fd9f0c81b6d87a62f',1,'primordial']]], - ['ra_5frec',['ra_rec',['../thermodynamics_8h.html#a5012fed08730754d19a0b748f5904bd2',1,'thermo']]], - ['radial_5ffunction_5ftype',['radial_function_type',['../transfer_8h.html#af3f4670b8918a9905edf8d0c2c5ce32b',1,'transfer.h']]], - ['radiation_5fstreaming_5fapproximation',['radiation_streaming_approximation',['../common_8h.html#a86e61a89341bae5d84249ced0d2670bf',1,'precision']]], - ['radiation_5fstreaming_5ftrigger_5ftau_5fc_5fover_5ftau',['radiation_streaming_trigger_tau_c_over_tau',['../common_8h.html#a836edca74feaf881aaece2c3ea9a7046',1,'precision']]], - ['radiation_5fstreaming_5ftrigger_5ftau_5fover_5ftau_5fk',['radiation_streaming_trigger_tau_over_tau_k',['../common_8h.html#a70be98231733bf02a15e1a27fa15a7c4',1,'precision']]], - ['rd_5frec',['rd_rec',['../thermodynamics_8h.html#ac4ff58ec97d05ed2f0fe09e6a6d9d7f0',1,'thermo']]], - ['re_5fsize',['re_size',['../thermodynamics_8h.html#a9367b1aedf6f36715ff227cd4ce8ee05',1,'recombination::re_size()'],['../thermodynamics_8h.html#af689627b42e1f4851fff7e20bb5a8ad2',1,'reionization::re_size()']]], - ['recfast_5fagauss1',['recfast_AGauss1',['../common_8h.html#a5e3afcd2c33645568a7552e37799e6ca',1,'precision']]], - ['recfast_5fagauss2',['recfast_AGauss2',['../common_8h.html#a4a07b656500992c88780f6af63f98e66',1,'precision']]], - ['recfast_5fdelta_5ffudge_5fh',['recfast_delta_fudge_H',['../common_8h.html#abff0c7d09550d634ef93c4be63e44a7b',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f1',['recfast_delta_z_He_1',['../common_8h.html#a6f83df79296e559842318b4894c55102',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f2',['recfast_delta_z_He_2',['../common_8h.html#a0b99b63be9c59286f4afae6ab8e963f0',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f3',['recfast_delta_z_He_3',['../common_8h.html#a3426ca473df3dcd4cb7005a57ad58d64',1,'precision']]], - ['recfast_5ffudge_5fh',['recfast_fudge_H',['../common_8h.html#ac2b62878fb26a5f2f32f7edba5ba4c65',1,'precision']]], - ['recfast_5ffudge_5fhe',['recfast_fudge_He',['../common_8h.html#a6c07e19d381f030b6368f06f5680d265',1,'precision']]], - ['recfast_5fh_5ffrac',['recfast_H_frac',['../common_8h.html#ac74ae582d36b809d49ae1e385951f51e',1,'precision']]], - ['recfast_5fheswitch',['recfast_Heswitch',['../common_8h.html#a4aa431d63bf3196c102c90bcb596ca9e',1,'precision']]], - ['recfast_5fhswitch',['recfast_Hswitch',['../common_8h.html#a497b4cbf0c90c3ed4e29a419bbe6498d',1,'precision']]], - ['recfast_5fnz0',['recfast_Nz0',['../common_8h.html#a1f9b23047c7f4c44b63cca8f0edbf019',1,'precision']]], - ['recfast_5fwgauss1',['recfast_wGauss1',['../common_8h.html#a6a61bf75aa641053eab06a1247078d74',1,'precision']]], - ['recfast_5fwgauss2',['recfast_wGauss2',['../common_8h.html#a5a779464a1ef26f995dae24093c76bde',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger',['recfast_x_H0_trigger',['../common_8h.html#a281ad75dd6a1546ad08ec87d5027642e',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger2',['recfast_x_H0_trigger2',['../common_8h.html#a9ae32d778f02b1f7cc5c59d6f7dc3500',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger_5fdelta',['recfast_x_H0_trigger_delta',['../common_8h.html#a0bc3ac27b918dd2fcb0eea0ebcac7252',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger',['recfast_x_He0_trigger',['../common_8h.html#a1bc8f906109a242a2a1ea5263b45616a',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger2',['recfast_x_He0_trigger2',['../common_8h.html#abd3579dff4fcb28bc34d5049c66676e6',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger_5fdelta',['recfast_x_He0_trigger_delta',['../common_8h.html#af0d067e9438df41926ee456a1b8e74ff',1,'precision']]], - ['recfast_5fz_5fhe_5f1',['recfast_z_He_1',['../common_8h.html#a7e2634e9e694d7d6acc996dc610579a3',1,'precision']]], - ['recfast_5fz_5fhe_5f2',['recfast_z_He_2',['../common_8h.html#ac92beb002d61a8afdd204b1432437094',1,'precision']]], - ['recfast_5fz_5fhe_5f3',['recfast_z_He_3',['../common_8h.html#abd7782b17fbffd7603d11a3bd481d32c',1,'precision']]], - ['recfast_5fz_5finitial',['recfast_z_initial',['../common_8h.html#ad9c73e5c9019211142475ba97fe8fd6e',1,'precision']]], - ['recfast_5fzgauss1',['recfast_zGauss1',['../common_8h.html#a7939de1608d831ca7497618b20163faf',1,'precision']]], - ['recfast_5fzgauss2',['recfast_zGauss2',['../common_8h.html#a8f2fd05f518e3d4a9800a5c865d4e0de',1,'precision']]], - ['recombination',['recombination',['../thermodynamics_8h.html#structrecombination',1,'recombination'],['../thermodynamics_8h.html#a5e6ec5533b6b93b80cfaa0d933117410',1,'thermo::recombination()']]], - ['recombination_5falgorithm',['recombination_algorithm',['../thermodynamics_8h.html#a244f4d3fb288b63e3f02cc0a0c7961e3',1,'thermodynamics.h']]], - ['recombination_5ftable',['recombination_table',['../thermodynamics_8h.html#ab2f2f15ff77532bddf3052e52ca1df77',1,'recombination']]], - ['reio_5fbins_5ftanh',['reio_bins_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a22baab4ed53435181db772e319c4d1a5',1,'thermodynamics.h']]], - ['reio_5fcamb',['reio_camb',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a38ef48278eabc04a3f5b806d5a074fce',1,'thermodynamics.h']]], - ['reio_5fhalf_5ftanh',['reio_half_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af5db0c1f643a3a0dd43c6c80cc7aae21',1,'thermodynamics.h']]], - ['reio_5finter',['reio_inter',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a80f6b4795200054b5db2b4e5bc553505',1,'thermodynamics.h']]], - ['reio_5finter_5fnum',['reio_inter_num',['../thermodynamics_8h.html#ab249a7342381ebfe08dfaf1d26f332cf',1,'thermo']]], - ['reio_5finter_5fxe',['reio_inter_xe',['../thermodynamics_8h.html#af90417ae2eefad3e9c8974b6e1b105f0',1,'thermo']]], - ['reio_5finter_5fz',['reio_inter_z',['../thermodynamics_8h.html#ae0d8972ad4bbfc24974b8b08c0ce45b6',1,'thermo']]], - ['reio_5fmany_5ftanh',['reio_many_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af8638eafa2d275e504aaeb975e388718',1,'thermodynamics.h']]], - ['reio_5fnone',['reio_none',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a224e2258e42ac1cc1eddb8add797438a',1,'thermodynamics.h']]], - ['reio_5fnum_5fparams',['reio_num_params',['../thermodynamics_8h.html#a257eb4f1d42be0cc0f3f3a95104b41be',1,'reionization']]], - ['reio_5fnum_5fz',['reio_num_z',['../thermodynamics_8h.html#ad19f164a09a190e6d34f46331750e61c',1,'reionization']]], - ['reio_5fparametrization',['reio_parametrization',['../thermodynamics_8h.html#a933d64335c2f8d29ac8966d311e76902',1,'thermo']]], - ['reio_5ftau',['reio_tau',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a9f890480f05a227d5dd8377011c44a10',1,'thermodynamics.h']]], - ['reio_5fz',['reio_z',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a1612a14c9af1b5a5e092580c8cdb1c7a',1,'thermodynamics.h']]], - ['reio_5fz_5for_5ftau',['reio_z_or_tau',['../thermodynamics_8h.html#aa911a8bfc092639aef86ba60351a3b0c',1,'thermo']]], - ['reionization',['reionization',['../thermodynamics_8h.html#structreionization',1,'']]], - ['reionization_5fexponent',['reionization_exponent',['../thermodynamics_8h.html#a6ff33c2e66391af885b6726784e5b92d',1,'thermo']]], - ['reionization_5foptical_5fdepth',['reionization_optical_depth',['../thermodynamics_8h.html#a2d0bb67beb4bffe6b6e4c07c50ea05b4',1,'reionization']]], - ['reionization_5foptical_5fdepth_5ftol',['reionization_optical_depth_tol',['../common_8h.html#a3763d41dc9c0bb87f04fc8d446034beb',1,'precision']]], - ['reionization_5fparameters',['reionization_parameters',['../thermodynamics_8h.html#ab9f4cf65a7935f25ed0c9a504ed8c29e',1,'reionization']]], - ['reionization_5fparametrization',['reionization_parametrization',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0',1,'thermodynamics.h']]], - ['reionization_5fsampling',['reionization_sampling',['../common_8h.html#a328de572f865c8d0bda2f583e3617d59',1,'precision']]], - ['reionization_5fstart_5ffactor',['reionization_start_factor',['../common_8h.html#a77bd046140bf5087fd14e9f5ae748317',1,'precision']]], - ['reionization_5ftable',['reionization_table',['../thermodynamics_8h.html#acfe9475fc19c4af33306dcb24954c68f',1,'reionization']]], - ['reionization_5fwidth',['reionization_width',['../thermodynamics_8h.html#abde0e80ab0c3e3114cc636d65c2830df',1,'thermo']]], - ['reionization_5fz_5for_5ftau',['reionization_z_or_tau',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0',1,'thermodynamics.h']]], - ['reionization_5fz_5fstart_5fmax',['reionization_z_start_max',['../common_8h.html#a54f06b9c9e4358e85ae00a82d2be3073',1,'precision']]], - ['rho_5fplus_5fp_5fshear',['rho_plus_p_shear',['../perturbations_8h.html#a946fe20b37bcf2a2fc486653536c2a7c',1,'perturb_workspace']]], - ['rho_5fplus_5fp_5ftheta',['rho_plus_p_theta',['../perturbations_8h.html#a50e1b9cd712157932986c50aff9580ab',1,'perturb_workspace']]], - ['rho_5fplus_5fp_5ftheta_5ffld',['rho_plus_p_theta_fld',['../perturbations_8h.html#a25bc2272bfc81d102eedaf2190c41a1f',1,'perturb_workspace']]], - ['root',['root',['../output_8h.html#a9bf4ed2484f0a6183cb00fc36685d582',1,'output']]], - ['rs_5fd',['rs_d',['../thermodynamics_8h.html#a84a5dfe70e2c9e1793ba7620c7ad00fd',1,'thermo']]], - ['rs_5frec',['rs_rec',['../thermodynamics_8h.html#a7c76a1b25abab3fe341b07387f5d3475',1,'thermo']]], - ['rsa_5fdelta_5fg',['rsa_delta_g',['../perturbations_8h.html#a5eadd3c9e5003c0f74938558a27e5a6d',1,'perturb_workspace']]], - ['rsa_5fdelta_5fur',['rsa_delta_ur',['../perturbations_8h.html#a76927bc85dc14425c845a47cdc629ebe',1,'perturb_workspace']]], - ['rsa_5ftheta_5fg',['rsa_theta_g',['../perturbations_8h.html#a10c5f26e6edc53181ede1523452cb094',1,'perturb_workspace']]], - ['rsa_5ftheta_5fur',['rsa_theta_ur',['../perturbations_8h.html#a97023d902661a7b160ad6ffa547825ae',1,'perturb_workspace']]], - ['rt_5fsize',['rt_size',['../thermodynamics_8h.html#a16ae6805bc7bf671fc9ddceb976f9e63',1,'recombination::rt_size()'],['../thermodynamics_8h.html#a51089069ad3214de9588ba7b649b5ec8',1,'reionization::rt_size()']]], - ['running',['running',['../primordial_8h.html#ad545b2b62cc88e2ae07df659aad92e07',1,'primordial']]] -]; diff --git a/doc/manual/html/search/all_12.html b/doc/manual/html/search/all_12.html deleted file mode 100644 index 13c52637..00000000 --- a/doc/manual/html/search/all_12.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_12.js b/doc/manual/html/search/all_12.js deleted file mode 100644 index b3b98d66..00000000 --- a/doc/manual/html/search/all_12.js +++ /dev/null @@ -1,74 +0,0 @@ -var searchData= -[ - ['s_5ffld',['S_fld',['../perturbations_8h.html#a0f7a31f3e3545c35d86d5c8df320960b',1,'perturb_workspace']]], - ['s_5fl',['s_l',['../perturbations_8h.html#a129ee76252bf13414449dc5400e16785',1,'perturb_workspace']]], - ['safe_5fphi_5fscf',['safe_phi_scf',['../common_8h.html#a466692f5b5e43b0497f10fcf026c2e7f',1,'precision']]], - ['scalar_5fperturbations_5fdata',['scalar_perturbations_data',['../perturbations_8h.html#a1a2bfc4df2d4d591556c4dcb7a605ee7',1,'perturbs']]], - ['scalar_5ftitles',['scalar_titles',['../perturbations_8h.html#adbd051adf5743feaa54044ccf86704fc',1,'perturbs']]], - ['scf_5fparameters',['scf_parameters',['../background_8h.html#a0f2ca42b920c48c864b4135c3e519d99',1,'background']]], - ['scf_5fparameters_5fsize',['scf_parameters_size',['../background_8h.html#a516208b1d53e97e01b39f06df9f83700',1,'background']]], - ['scf_5ftuning_5findex',['scf_tuning_index',['../background_8h.html#afecadd30a392f785ccffff67930909e0',1,'background']]], - ['selection',['selection',['../perturbations_8h.html#a00e91b6006fe4ea67077912d33de963f',1,'perturbs']]], - ['selection_5fbias',['selection_bias',['../transfer_8h.html#a11fc80f50096e99f698479c1430076c7',1,'transfers']]], - ['selection_5fcut_5fat_5fsigma',['selection_cut_at_sigma',['../common_8h.html#a5c6432808b685646fc59de7581ae0b97',1,'precision']]], - ['selection_5fdelta_5ftau',['selection_delta_tau',['../perturbations_8h.html#acaa07d9842764604a4ffe12f73ac995a',1,'perturbs']]], - ['selection_5ffunction',['selection_function',['../perturbations_8h.html#afac4535c3b63cb278f210e0b558adc1f',1,'perturbs']]], - ['selection_5fmagnification_5fbias',['selection_magnification_bias',['../transfer_8h.html#a0f38a4074b6dd8d95379b8e171e54533',1,'transfers']]], - ['selection_5fmax_5fof_5ftau_5fmax',['selection_max_of_tau_max',['../perturbations_8h.html#af787d16ae2f9fa435086b20cef8b9e55',1,'perturbs']]], - ['selection_5fmean',['selection_mean',['../perturbations_8h.html#a15266631124718cca6821507137c3561',1,'perturbs']]], - ['selection_5fmin_5fof_5ftau_5fmin',['selection_min_of_tau_min',['../perturbations_8h.html#a78cf18bd2e4c80bbd6d99b56bcd1ea30',1,'perturbs']]], - ['selection_5fnum',['selection_num',['../perturbations_8h.html#a08050531f58de31cac59e09124086850',1,'perturbs']]], - ['selection_5fsampling',['selection_sampling',['../common_8h.html#a3268045bd1aa56ba4b67d3fc66a7ab17',1,'precision']]], - ['selection_5fsampling_5fbessel',['selection_sampling_bessel',['../common_8h.html#aff7c31600012254167cd68433ca54948',1,'precision']]], - ['selection_5fsampling_5fbessel_5flos',['selection_sampling_bessel_los',['../common_8h.html#ae060611b14823b714e6e450d18123a2b',1,'precision']]], - ['selection_5ftau',['selection_tau',['../perturbations_8h.html#a2b1aa6f687bc7286a2bb5cb4ca52dbbc',1,'perturbs']]], - ['selection_5ftau_5fmax',['selection_tau_max',['../perturbations_8h.html#aff391c3d002d7541fe6555fc46b1dd9f',1,'perturbs']]], - ['selection_5ftau_5fmin',['selection_tau_min',['../perturbations_8h.html#a6c18697e5b2e4dff3c9aaeeb1019d0b2',1,'perturbs']]], - ['selection_5ftophat_5fedge',['selection_tophat_edge',['../common_8h.html#a159b8a7f01062a7b8456d57935441948',1,'precision']]], - ['selection_5fwidth',['selection_width',['../perturbations_8h.html#aef03a65543c73fb8f799634102d2282a',1,'perturbs']]], - ['sgnk',['sgnK',['../background_8h.html#abfb9604454d58ec29a6d67b4957f98af',1,'background::sgnK()'],['../transfer_8h.html#af43bd9bd9693d9dfda296b136adcfe80',1,'transfer_workspace::sgnK()']]], - ['shear_5fncdm',['shear_ncdm',['../perturbations_8h.html#a2eddf1e8180bec09e4dfdc9431f325c0',1,'perturb_workspace']]], - ['shooting_5ferror',['shooting_error',['../background_8h.html#ae8db621ec63803a3fcf02f3122d48b11',1,'background']]], - ['shooting_5ffailed',['shooting_failed',['../background_8h.html#a378f8b0f2a436630570e71f0387a70ab',1,'background']]], - ['short_5finfo',['short_info',['../background_8h.html#a539b135329ad8c7493e936a559062170',1,'background']]], - ['sigma8',['sigma8',['../spectra_8h.html#a6ee88df802d2cb48a003ade7adcb600a',1,'spectra']]], - ['sigma8_5fcb',['sigma8_cb',['../spectra_8h.html#a061198a8d906bce9c36007567db6b30a',1,'spectra']]], - ['size_5fscalar_5fperturbation_5fdata',['size_scalar_perturbation_data',['../perturbations_8h.html#ad60d11a36d328dedd1b02871e6b8f2d1',1,'perturbs']]], - ['size_5ftensor_5fperturbation_5fdata',['size_tensor_perturbation_data',['../perturbations_8h.html#acac6423c3019d7802de6587088cfc7d5',1,'perturbs']]], - ['size_5fvector_5fperturbation_5fdata',['size_vector_perturbation_data',['../perturbations_8h.html#a117d7e63ef4287a8bf785057fc81c6f8',1,'perturbs']]], - ['smallest_5fallowed_5fvariation',['smallest_allowed_variation',['../common_8h.html#a6ce36b0a85e6a760aa8ec232fb5289fb',1,'precision']]], - ['sources',['sources',['../perturbations_8h.html#acd16a64ce2ee46c45b7b4682ba3fc35d',1,'perturbs::sources()'],['../transfer_8h.html#a7e1b7745f896916e019150d8b9261755',1,'transfer_workspace::sources()']]], - ['spatial_5fcurvature',['spatial_curvature',['../background_8h.html#a084e4b1d0e8008b93518986b89cd77ff',1,'background.h']]], - ['spectra',['spectra',['../spectra_8h.html#structspectra',1,'']]], - ['spectra_2ec',['spectra.c',['../spectra_8c.html',1,'']]], - ['spectra_2eh',['spectra.h',['../spectra_8h.html',1,'']]], - ['spectra_5fcl_5fat_5fl',['spectra_cl_at_l',['../spectra_8c.html#a474a08a4d11642f6e688524556442909',1,'spectra.c']]], - ['spectra_5fcls',['spectra_cls',['../spectra_8c.html#aff413243f74650e6eba56225ef30fb81',1,'spectra.c']]], - ['spectra_5fcompute_5fcl',['spectra_compute_cl',['../spectra_8c.html#a202211a45920a13d8f0f0d545e45b226',1,'spectra.c']]], - ['spectra_5ffast_5fpk_5fat_5fkvec_5fand_5fzvec',['spectra_fast_pk_at_kvec_and_zvec',['../spectra_8c.html#ac729eace6e5ce72dffea9090fb94f9e2',1,'spectra.c']]], - ['spectra_5ffree',['spectra_free',['../spectra_8c.html#acbfeac6ad88fa757677b47d76722aec3',1,'spectra.c']]], - ['spectra_5findices',['spectra_indices',['../spectra_8c.html#ab9a34eea930c566c6b47cc79da887853',1,'spectra.c']]], - ['spectra_5finit',['spectra_init',['../spectra_8c.html#a192c3cc36d17f276ed7b5d7e485e70f1',1,'spectra.c']]], - ['spectra_5fk_5fand_5ftau',['spectra_k_and_tau',['../spectra_8c.html#a80e1413144a57366bbf279a2ae6a0028',1,'spectra.c']]], - ['spectra_5fmatter_5ftransfers',['spectra_matter_transfers',['../spectra_8c.html#a5c100c52fd6479fee1c477d9fd841f28',1,'spectra.c']]], - ['spectra_5foutput_5ftk_5fdata',['spectra_output_tk_data',['../spectra_8c.html#a4cf287a8b3796656614e40b9132f1176',1,'spectra.c']]], - ['spectra_5fpk',['spectra_pk',['../spectra_8c.html#a1a6dd87098ad3da12ff3a685a6e32010',1,'spectra.c']]], - ['spectra_5fpk_5fat_5fk_5fand_5fz',['spectra_pk_at_k_and_z',['../spectra_8c.html#abbacb8b60693f02f2f0e37fd76c6bdcb',1,'spectra.c']]], - ['spectra_5fpk_5fat_5fz',['spectra_pk_at_z',['../spectra_8c.html#a3a628fdd2920efe84eb4343525e4c23c',1,'spectra.c']]], - ['spectra_5fpk_5fnl_5fat_5fk_5fand_5fz',['spectra_pk_nl_at_k_and_z',['../spectra_8c.html#a0e6c6722e9cfa606803aa637fb126d34',1,'spectra.c']]], - ['spectra_5fpk_5fnl_5fat_5fz',['spectra_pk_nl_at_z',['../spectra_8c.html#a459a1ded2ca25cd5d1e4e315bdd1175a',1,'spectra.c']]], - ['spectra_5fsigma',['spectra_sigma',['../spectra_8c.html#aad251bcc29d8eee1448d01e30260eb4a',1,'spectra.c']]], - ['spectra_5ftk_5fat_5fk_5fand_5fz',['spectra_tk_at_k_and_z',['../spectra_8c.html#a99c7fafb33b166530fc1a9206feb453f',1,'spectra.c']]], - ['spectra_5ftk_5fat_5fz',['spectra_tk_at_z',['../spectra_8c.html#ab59220fbc82fe2fa2997105af4d68187',1,'spectra.c']]], - ['spectra_5fverbose',['spectra_verbose',['../spectra_8h.html#a07770a4fe51e11746c3a9c94df6df939',1,'spectra']]], - ['start_5flarge_5fk_5fat_5ftau_5fh_5fover_5ftau_5fk',['start_large_k_at_tau_h_over_tau_k',['../common_8h.html#ae46ec4a2a7c9e25081e9a601fe7a218d',1,'precision']]], - ['start_5fsmall_5fk_5fat_5ftau_5fc_5fover_5ftau_5fh',['start_small_k_at_tau_c_over_tau_h',['../common_8h.html#a57d70caf5f7ed4c637c73b90527a3865',1,'precision']]], - ['start_5fsources_5fat_5ftau_5fc_5fover_5ftau_5fh',['start_sources_at_tau_c_over_tau_h',['../common_8h.html#abf52d5fb24720ce936c3108820a32361',1,'precision']]], - ['store_5fperturbations',['store_perturbations',['../perturbations_8h.html#a1483a03e8c2e932e15b52faf1511242b',1,'perturbs']]], - ['switch_5fdop',['switch_dop',['../perturbations_8h.html#abe694a40defa5339ae8c8383f6964266',1,'perturbs']]], - ['switch_5feisw',['switch_eisw',['../perturbations_8h.html#a1dc92b0ea1e1697136d425ea7b89c497',1,'perturbs']]], - ['switch_5flisw',['switch_lisw',['../perturbations_8h.html#aab57ee8522cd9a166488c2fccf0e755f',1,'perturbs']]], - ['switch_5fpol',['switch_pol',['../perturbations_8h.html#a3ac5aa07b40b40cae1f7251ad97b00e3',1,'perturbs']]], - ['switch_5fsw',['switch_sw',['../perturbations_8h.html#a199e4dbbc87155594fe3b83763a218c4',1,'perturbs']]], - ['synchronous',['synchronous',['../perturbations_8h.html#a393651984401ac059c225aed80e4862ca3c4f1195e4f20a93dc90b64f268687c1',1,'perturbations.h']]] -]; diff --git a/doc/manual/html/search/all_13.html b/doc/manual/html/search/all_13.html deleted file mode 100644 index b4a8bca6..00000000 --- a/doc/manual/html/search/all_13.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_13.js b/doc/manual/html/search/all_13.js deleted file mode 100644 index 46b5f395..00000000 --- a/doc/manual/html/search/all_13.js +++ /dev/null @@ -1,123 +0,0 @@ -var searchData= -[ - ['the_20_60external_5fpk_60_20mode',['The `external_Pk` mode',['../md__Users_lesgourg_OwnCloud_documents_codes_ClassProject_class_external_Pk_README.html',1,'']]], - ['t_5fcmb',['T_cmb',['../background_8h.html#aacce0972bf2d6ba25b4fa6ebb0cbf42a',1,'background']]], - ['t_5fncdm_5fdefault',['T_ncdm_default',['../background_8h.html#a10ccd157c2ca672eec8a402cdb330054',1,'background']]], - ['target_5fnames',['target_names',['../input_8h.html#a2ab2421221f92f632c015f3d088f047c',1,'input.h']]], - ['target_5fquantity',['target_quantity',['../primordial_8h.html#a02d8d27be2ed6238b22b76c29ad0142a',1,'primordial.h']]], - ['tau',['tau',['../structnonlinear.html#a58f60e148801438e7291a5ca86dbf088',1,'nonlinear']]], - ['tau0_5fminus_5ftau',['tau0_minus_tau',['../transfer_8h.html#ac173b95d9119c27f08bb0eca6e0a585e',1,'transfer_workspace']]], - ['tau0_5fminus_5ftau_5fcut',['tau0_minus_tau_cut',['../transfer_8h.html#a2850c0e6097bdd5e63fce840c199c248',1,'transfer_workspace']]], - ['tau_5fcut',['tau_cut',['../thermodynamics_8h.html#a40d90d7624f973a3e1ad4f7dd45a6aa4',1,'thermo']]], - ['tau_5fd',['tau_d',['../thermodynamics_8h.html#ad35ed79fc3351995cd324639d49bf2c5',1,'thermo']]], - ['tau_5feq',['tau_eq',['../background_8h.html#a364985e5717726c6ca981c3d151b8a89',1,'background']]], - ['tau_5ffree_5fstreaming',['tau_free_streaming',['../thermodynamics_8h.html#af00c823bddd68b229494936cdb042205',1,'thermo']]], - ['tau_5fini',['tau_ini',['../thermodynamics_8h.html#a712e8fca144ea7b0d6053776266b2ac7',1,'thermo']]], - ['tau_5frec',['tau_rec',['../thermodynamics_8h.html#a58263bc073a96346f1ea034eeb8d66cc',1,'thermo']]], - ['tau_5freio',['tau_reio',['../thermodynamics_8h.html#a3a2458620f9e70183e0df4900abe2764',1,'thermo']]], - ['tau_5fsampling',['tau_sampling',['../perturbations_8h.html#a0b470ea24cec696c098942196d2ebaff',1,'perturbs']]], - ['tau_5fsize',['tau_size',['../structnonlinear.html#a65b7e2e5ec57b04277e3797c6953e6ba',1,'nonlinear::tau_size()'],['../perturbations_8h.html#a67c386309ed51644f43b4545c4e067bd',1,'perturbs::tau_size()'],['../transfer_8h.html#a687f3dc5e1e24c16db6feb562de9477d',1,'transfer_workspace::tau_size()']]], - ['tau_5fsize_5fmax',['tau_size_max',['../transfer_8h.html#ae456d6ef31a91fe0adc33af4260fe547',1,'transfer_workspace']]], - ['tau_5ftable',['tau_table',['../background_8h.html#ad6b709b1e61e2afb17f27b8a5b09cf95',1,'background']]], - ['tca_5fflags',['tca_flags',['../perturbations_8h.html#a77375d40cb1991478d464eb520df72a7',1,'perturbations.h']]], - ['tca_5fmethod',['tca_method',['../perturbations_8h.html#a4203622ae5decc9a7ec5d6cbe6731e98',1,'perturbations.h']]], - ['tca_5fshear_5fg',['tca_shear_g',['../perturbations_8h.html#af4e5854dfbe360ddad1771faf9234634',1,'perturb_workspace']]], - ['tca_5fslip',['tca_slip',['../perturbations_8h.html#a7c66a8c54bdc71f2834c86d6b411aadf',1,'perturb_workspace']]], - ['tensor_5fmethod',['tensor_method',['../perturbations_8h.html#a712b8a16ff3e93dd7a864863798117f1',1,'perturbs']]], - ['tensor_5fperturbations_5fdata',['tensor_perturbations_data',['../perturbations_8h.html#a5c9a43967b969b1ad0e33cc0252c0172',1,'perturbs']]], - ['tensor_5ftitles',['tensor_titles',['../perturbations_8h.html#acc83561789c24022fcfc2ea6e88bd71c',1,'perturbs']]], - ['th_5fsize',['th_size',['../thermodynamics_8h.html#aeaab853f9c79e1b7f0c516e2034afc5a',1,'thermo']]], - ['thermo',['thermo',['../thermodynamics_8h.html#structthermo',1,'']]], - ['thermo_5frate_5fsmoothing_5fradius',['thermo_rate_smoothing_radius',['../common_8h.html#a0759177e93ea433d82589bfe04df4e38',1,'precision']]], - ['thermodynamics_2ec',['thermodynamics.c',['../thermodynamics_8c.html',1,'']]], - ['thermodynamics_2eh',['thermodynamics.h',['../thermodynamics_8h.html',1,'']]], - ['thermodynamics_5fat_5fz',['thermodynamics_at_z',['../thermodynamics_8c.html#a5763e8991ba30efe92c3007d1abfee95',1,'thermodynamics.c']]], - ['thermodynamics_5fderivs_5fwith_5frecfast',['thermodynamics_derivs_with_recfast',['../thermodynamics_8c.html#a00dc65dc088eabe075227c673f091297',1,'thermodynamics.c']]], - ['thermodynamics_5fenergy_5finjection',['thermodynamics_energy_injection',['../thermodynamics_8c.html#ad83c9423d4031f0f3797afb6ff2e33b5',1,'thermodynamics.c']]], - ['thermodynamics_5ffree',['thermodynamics_free',['../thermodynamics_8c.html#a689045596045ab02bb1853298d81f634',1,'thermodynamics.c']]], - ['thermodynamics_5fget_5fxe_5fbefore_5freionization',['thermodynamics_get_xe_before_reionization',['../thermodynamics_8c.html#a81120dad31dd155c4c3eaca36da53080',1,'thermodynamics.c']]], - ['thermodynamics_5fhelium_5ffrom_5fbbn',['thermodynamics_helium_from_bbn',['../thermodynamics_8c.html#aa99e8a0f968b10a07df134c51011ed2e',1,'thermodynamics.c']]], - ['thermodynamics_5findices',['thermodynamics_indices',['../thermodynamics_8c.html#a8fff80fda27805f33d1f3deaf9f90cce',1,'thermodynamics.c']]], - ['thermodynamics_5finit',['thermodynamics_init',['../thermodynamics_8c.html#a1acbfae38edb0c73d8991645f89b2d13',1,'thermodynamics.c']]], - ['thermodynamics_5fmerge_5freco_5fand_5freio',['thermodynamics_merge_reco_and_reio',['../thermodynamics_8c.html#a49f9b949c30411585549b523d2033089',1,'thermodynamics.c']]], - ['thermodynamics_5fonthespot_5fenergy_5finjection',['thermodynamics_onthespot_energy_injection',['../thermodynamics_8c.html#a7f1a04c6e4b080dbbe2855969e16eb25',1,'thermodynamics.c']]], - ['thermodynamics_5foutput_5ftitles',['thermodynamics_output_titles',['../thermodynamics_8c.html#a4f8b2bc131699db3ff7e2b9c14dfe940',1,'thermodynamics.c']]], - ['thermodynamics_5fparameters_5fand_5fworkspace',['thermodynamics_parameters_and_workspace',['../thermodynamics_8h.html#structthermodynamics__parameters__and__workspace',1,'']]], - ['thermodynamics_5frecombination',['thermodynamics_recombination',['../thermodynamics_8c.html#a13696727ba92af10edfed3ebf8c43a8a',1,'thermodynamics.c']]], - ['thermodynamics_5frecombination_5fwith_5fhyrec',['thermodynamics_recombination_with_hyrec',['../thermodynamics_8c.html#a3bddca88ed8e4de96ef783710739b2e6',1,'thermodynamics.c']]], - ['thermodynamics_5frecombination_5fwith_5frecfast',['thermodynamics_recombination_with_recfast',['../thermodynamics_8c.html#ab7d2c22e2a933156c291bfa467731ab2',1,'thermodynamics.c']]], - ['thermodynamics_5freionization',['thermodynamics_reionization',['../thermodynamics_8c.html#aa8e6b48cadc0a989b729fa624e1d61b3',1,'thermodynamics.c']]], - ['thermodynamics_5freionization_5ffunction',['thermodynamics_reionization_function',['../thermodynamics_8c.html#a2c452e9b63299d65eaabe2065bfbb8a8',1,'thermodynamics.c']]], - ['thermodynamics_5freionization_5fsample',['thermodynamics_reionization_sample',['../thermodynamics_8c.html#a056862f1b2d37b8408ab7fdde116968f',1,'thermodynamics.c']]], - ['thermodynamics_5ftable',['thermodynamics_table',['../thermodynamics_8h.html#a69b1c0e146bb1813004d1ca8d4be0356',1,'thermo']]], - ['thermodynamics_5fverbose',['thermodynamics_verbose',['../thermodynamics_8h.html#aa5cd5143daa64272ade3076ebbd81f52',1,'thermo']]], - ['theta_5fcb',['theta_cb',['../perturbations_8h.html#a17e489d57102234b09ff12d15a4f8db8',1,'perturb_workspace']]], - ['theta_5fm',['theta_m',['../perturbations_8h.html#aca8d43e66e75be956a00a410ccf2cf10',1,'perturb_workspace']]], - ['theta_5fncdm',['theta_ncdm',['../perturbations_8h.html#a972970d25d99cd326512512864d8dd71',1,'perturb_workspace']]], - ['three_5fceff2_5fur',['three_ceff2_ur',['../perturbations_8h.html#ae90af9982f704a6721ae666a704a6a27',1,'perturbs']]], - ['three_5fcvis2_5fur',['three_cvis2_ur',['../perturbations_8h.html#a79d2eb891a76814cb315beb27ddf3ed7',1,'perturbs']]], - ['tight_5fcoupling_5fapproximation',['tight_coupling_approximation',['../common_8h.html#a7e9a3d631f1368a546e92235075ed7a8',1,'precision']]], - ['tight_5fcoupling_5ftrigger_5ftau_5fc_5fover_5ftau_5fh',['tight_coupling_trigger_tau_c_over_tau_h',['../common_8h.html#aacaf9891d53114a8a10007941798e310',1,'precision']]], - ['tight_5fcoupling_5ftrigger_5ftau_5fc_5fover_5ftau_5fk',['tight_coupling_trigger_tau_c_over_tau_k',['../common_8h.html#a983753708e2dc77c482bb7364d423ac2',1,'precision']]], - ['tilt',['tilt',['../primordial_8h.html#a1a8d47fb814ced6a0984f2be49e00211',1,'primordial']]], - ['time_5fdefinition',['time_definition',['../primordial_8h.html#a8d962618eeb18f7afff009258f439ef3',1,'primordial.h']]], - ['tnow',['Tnow',['../thermodynamics_8h.html#a2b3b40a3f23658c72ef95207cbcbd8c3',1,'recombination']]], - ['tol_5fbackground_5fintegration',['tol_background_integration',['../common_8h.html#a444a8511365ba815a2108479b5f79bfe',1,'precision']]], - ['tol_5fgauss_5flegendre',['tol_gauss_legendre',['../common_8h.html#a76852c9fb933263cdcd88fa7d1f6419a',1,'precision']]], - ['tol_5finitial_5fomega_5fr',['tol_initial_Omega_r',['../common_8h.html#a3b31e70cffa90b36fb9fe4513e34fd66',1,'precision']]], - ['tol_5fm_5fncdm',['tol_M_ncdm',['../common_8h.html#a8a51f9bfe97ab2af8af02537a1d6f347',1,'precision']]], - ['tol_5fncdm',['tol_ncdm',['../common_8h.html#a763719a8b90aae456d74f87c3a7137fb',1,'precision']]], - ['tol_5fncdm_5fbg',['tol_ncdm_bg',['../common_8h.html#a1f4cefd79a27e4922a4f06c46c0133cd',1,'precision']]], - ['tol_5fncdm_5finitial_5fw',['tol_ncdm_initial_w',['../common_8h.html#ad8ef5cb57e7ff804c242ccbdf40648ea',1,'precision']]], - ['tol_5fncdm_5fnewtonian',['tol_ncdm_newtonian',['../common_8h.html#a440fc376b6c9dd2ee7d9a72d592791a0',1,'precision']]], - ['tol_5fncdm_5fsynchronous',['tol_ncdm_synchronous',['../common_8h.html#ac4688bdc06229edbee1e15f3ca2b03fd',1,'precision']]], - ['tol_5fperturb_5fintegration',['tol_perturb_integration',['../common_8h.html#ae9a16f763f0e6590d9fb6b907feda4a5',1,'precision']]], - ['tol_5ftau_5fapprox',['tol_tau_approx',['../common_8h.html#a3aee719ebdf06817d4ac62116f168afa',1,'precision']]], - ['tol_5ftau_5feq',['tol_tau_eq',['../common_8h.html#a7bafc83c0ddf73503579bec181559932',1,'precision']]], - ['tol_5fthermo_5fintegration',['tol_thermo_integration',['../common_8h.html#a1a512eddd17b9854e95c1a890df2703f',1,'precision']]], - ['tp_5fsize',['tp_size',['../perturbations_8h.html#a576dd20e63a5f84ffd1309c6be97a364',1,'perturbs']]], - ['tr_5fsize',['tr_size',['../spectra_8h.html#a3e50d934303e1c7ca8bd3b8aee98ba88',1,'spectra']]], - ['transfer',['transfer',['../transfer_8h.html#a163fba8d0845cca9746f62f670495bad',1,'transfers']]], - ['transfer_2ec',['transfer.c',['../transfer_8c.html',1,'']]], - ['transfer_2eh',['transfer.h',['../transfer_8h.html',1,'']]], - ['transfer_5fcompute_5ffor_5feach_5fl',['transfer_compute_for_each_l',['../transfer_8c.html#a0fcf8cc8e561263cdc2d3d39cebd9a5d',1,'transfer.c']]], - ['transfer_5fcompute_5ffor_5feach_5fq',['transfer_compute_for_each_q',['../transfer_8c.html#aa0790ada9b74ac2325edc23a68eb1f72',1,'transfer.c']]], - ['transfer_5fdndz_5fanalytic',['transfer_dNdz_analytic',['../transfer_8c.html#afe1acfe299e7d241e2db5d089db70ca0',1,'transfer.c']]], - ['transfer_5ffree',['transfer_free',['../transfer_8c.html#a6debba506b0d424b93b56b8767656d07',1,'transfer.c']]], - ['transfer_5ffunctions_5fat_5fq',['transfer_functions_at_q',['../transfer_8c.html#a226ea453047ad9f9b4baa8527f9fefd1',1,'transfer.c']]], - ['transfer_5fget_5fk_5flist',['transfer_get_k_list',['../transfer_8c.html#ac3f0d949e2ef800f718c11fdd5c1354e',1,'transfer.c']]], - ['transfer_5fget_5fl_5flist',['transfer_get_l_list',['../transfer_8c.html#ad59d5c2a8ace2403d8375883482bbad5',1,'transfer.c']]], - ['transfer_5fget_5fq_5flist',['transfer_get_q_list',['../transfer_8c.html#a9d50cb722ee213f9c48a77df7ce85cd1',1,'transfer.c']]], - ['transfer_5fget_5fsource_5fcorrespondence',['transfer_get_source_correspondence',['../transfer_8c.html#ae3e81b8369f6de9bc2dc7b8c02e10ceb',1,'transfer.c']]], - ['transfer_5findices_5fof_5ftransfers',['transfer_indices_of_transfers',['../transfer_8c.html#a4ae4f487bf63b45198fda351e2c87696',1,'transfer.c']]], - ['transfer_5finit',['transfer_init',['../transfer_8c.html#a7ed9b28044b1e58d74494915b3ff5b10',1,'transfer.c']]], - ['transfer_5fintegrate',['transfer_integrate',['../transfer_8c.html#ad0fb04f4bb7b95408de7adbe9e6da505',1,'transfer.c']]], - ['transfer_5finterpolate_5fsources',['transfer_interpolate_sources',['../transfer_8c.html#ad966994d25435082cd027960de7ab356',1,'transfer.c']]], - ['transfer_5flensing_5fsampling',['transfer_lensing_sampling',['../transfer_8c.html#a6776393e90246342ec38f567323cbe68',1,'transfer.c']]], - ['transfer_5flimber',['transfer_limber',['../transfer_8c.html#abe288a49a5044b79cef9ea63123fe56b',1,'transfer.c']]], - ['transfer_5flimber2',['transfer_limber2',['../transfer_8c.html#a6ab33e807dff2fdbd878908f18fbb0c2',1,'transfer.c']]], - ['transfer_5flimber_5finterpolate',['transfer_limber_interpolate',['../transfer_8c.html#ac0b2d5188d0476ba4c1a6633c3278dfb',1,'transfer.c']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5fe',['transfer_neglect_delta_k_S_e',['../common_8h.html#a10368fbcea5cb3f7eb6f56f44126f789',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft0',['transfer_neglect_delta_k_S_t0',['../common_8h.html#a7379458633652db2f1aa409df6fb9599',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft1',['transfer_neglect_delta_k_S_t1',['../common_8h.html#a1e42196c8410b72c38f9548f07de34bc',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft2',['transfer_neglect_delta_k_S_t2',['../common_8h.html#a7ce334dccea37f60b468b8506e91423c',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5fb',['transfer_neglect_delta_k_T_b',['../common_8h.html#af5d251d407b7631fe9c9b6878156adc6',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5fe',['transfer_neglect_delta_k_T_e',['../common_8h.html#a89229e22af124a00b2e0b31380f9a8db',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5ft2',['transfer_neglect_delta_k_T_t2',['../common_8h.html#a7f2b6302f3936213569e8e5615a95df7',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5fb',['transfer_neglect_delta_k_V_b',['../common_8h.html#aa487db7e90275100a39018c4cee5c20d',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5fe',['transfer_neglect_delta_k_V_e',['../common_8h.html#a21a8d2719b9650bb5b32f71681c59784',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5ft1',['transfer_neglect_delta_k_V_t1',['../common_8h.html#afefe0741183b00f7d651ba0bdd49d0f5',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5ft2',['transfer_neglect_delta_k_V_t2',['../common_8h.html#af975d509e9ab98ec6d8944bb79ca39ce',1,'precision']]], - ['transfer_5fneglect_5flate_5fsource',['transfer_neglect_late_source',['../common_8h.html#a01684a8901b4a6db68f61433b90c804d',1,'precision']]], - ['transfer_5fselection_5fcompute',['transfer_selection_compute',['../transfer_8c.html#a55cd5cd7416ec0013204f839da1326ef',1,'transfer.c']]], - ['transfer_5fselection_5ffunction',['transfer_selection_function',['../transfer_8c.html#a87c33899832bba51d62fbeef87a25fe0',1,'transfer.c']]], - ['transfer_5fselection_5fsampling',['transfer_selection_sampling',['../transfer_8c.html#a52265dbcef681f416e9a51d4477e268a',1,'transfer.c']]], - ['transfer_5fselection_5ftimes',['transfer_selection_times',['../transfer_8c.html#a2cc20b516c44760847dd4455633be1b9',1,'transfer.c']]], - ['transfer_5fsource_5fresample',['transfer_source_resample',['../transfer_8c.html#a94d64b8304fc2453d448c41716e8c89f',1,'transfer.c']]], - ['transfer_5fsource_5ftau_5fsize',['transfer_source_tau_size',['../transfer_8c.html#a5c9363d6dd2b5845bc8d41d5c7611d7a',1,'transfer.c']]], - ['transfer_5fsources',['transfer_sources',['../transfer_8c.html#a9b622143337865b857779564eefb2a7b',1,'transfer.c']]], - ['transfer_5fverbose',['transfer_verbose',['../transfer_8h.html#afaa03b27d03939202850b360ad72b6bc',1,'transfers']]], - ['transfer_5fworkspace',['transfer_workspace',['../transfer_8h.html#structtransfer__workspace',1,'']]], - ['transfers',['transfers',['../transfer_8h.html#structtransfers',1,'']]], - ['tt_5fsize',['tt_size',['../thermodynamics_8h.html#aac7234076d84b798f8b3346d5e76d158',1,'thermo::tt_size()'],['../transfer_8h.html#a06814905fb421cddb40e89f355e99be2',1,'transfers::tt_size()']]] -]; diff --git a/doc/manual/html/search/all_14.html b/doc/manual/html/search/all_14.html deleted file mode 100644 index fb4d0ecc..00000000 --- a/doc/manual/html/search/all_14.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_14.js b/doc/manual/html/search/all_14.js deleted file mode 100644 index 691aa378..00000000 --- a/doc/manual/html/search/all_14.js +++ /dev/null @@ -1,8 +0,0 @@ -var searchData= -[ - ['updating_20the_20manual',['Updating the manual',['../md_mod.html',1,'']]], - ['ur_5ffluid_5fapproximation',['ur_fluid_approximation',['../common_8h.html#a9a6594663647ebb3ce010d8154562865',1,'precision']]], - ['ur_5ffluid_5ftrigger_5ftau_5fover_5ftau_5fk',['ur_fluid_trigger_tau_over_tau_k',['../common_8h.html#af91c68cd3475bd7b4739d0f9e0569d55',1,'precision']]], - ['use_5fppf',['use_ppf',['../background_8h.html#a7830e03f3d0c7b44bf1bfbb3f50d9b8a',1,'background']]], - ['used_5fin_5fsources',['used_in_sources',['../perturbations_8h.html#ac1adc34595e1056ccab21d3b9bf35703',1,'perturb_vector']]] -]; diff --git a/doc/manual/html/search/all_15.html b/doc/manual/html/search/all_15.html deleted file mode 100644 index 8afe9a03..00000000 --- a/doc/manual/html/search/all_15.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_15.js b/doc/manual/html/search/all_15.js deleted file mode 100644 index 9fc41f06..00000000 --- a/doc/manual/html/search/all_15.js +++ /dev/null @@ -1,15 +0,0 @@ -var searchData= -[ - ['v0',['V0',['../primordial_8h.html#a982a911c9d7791f6f57a08e7b5b2d040',1,'primordial']]], - ['v1',['V1',['../primordial_8h.html#aaf89c06c44c27ea964877e9a3eecba87',1,'primordial']]], - ['v2',['V2',['../primordial_8h.html#ab245e3210a89e39e986abfd611df8b6a',1,'primordial']]], - ['v3',['V3',['../primordial_8h.html#a68181f8a34cb07f3b930b53bf4c3504b',1,'primordial']]], - ['v4',['V4',['../primordial_8h.html#add2c7eca88313f8bbb30237d3f78a02d',1,'primordial']]], - ['v_5fe_5fscf',['V_e_scf',['../background_8c.html#a0b67501d55c3db17771981743e2309e2',1,'background.c']]], - ['v_5fp_5fscf',['V_p_scf',['../background_8c.html#a9bd1bb8603145f86e8c57ad64a709931',1,'background.c']]], - ['v_5fscf',['V_scf',['../background_8c.html#aea9a32ebd60cc65e848e38cdd3ea6df5',1,'background.c']]], - ['vector_5fperturbations_5fdata',['vector_perturbations_data',['../perturbations_8h.html#ad347127b5921dbbbbeb8c3170f54683b',1,'perturbs']]], - ['vector_5fsource_5fpi',['vector_source_pi',['../perturbations_8h.html#a343d3b6cb243722f1b44ec356c9fba4f',1,'perturb_workspace']]], - ['vector_5fsource_5fv',['vector_source_v',['../perturbations_8h.html#ac90a6f855cb1d321f5a0854cf7286b15',1,'perturb_workspace']]], - ['vector_5ftitles',['vector_titles',['../perturbations_8h.html#ad346c561d3a5cab6954d377addd4eca6',1,'perturbs']]] -]; diff --git a/doc/manual/html/search/all_16.html b/doc/manual/html/search/all_16.html deleted file mode 100644 index e511edbc..00000000 --- a/doc/manual/html/search/all_16.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_16.js b/doc/manual/html/search/all_16.js deleted file mode 100644 index 3ddc57cd..00000000 --- a/doc/manual/html/search/all_16.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['where_20to_20find_20information_20and_20documentation_20on_20class_3f',['Where to find information and documentation on CLASS?',['../md_chap2.html',1,'']]], - ['w0_5ffld',['w0_fld',['../background_8h.html#a952ea915a9eb9d1ab7a053fc9cd503d4',1,'background']]], - ['w_5fncdm',['w_ncdm',['../background_8h.html#a8b70adca7e18544a5c89efa89506bec5',1,'background']]], - ['w_5fncdm_5fbg',['w_ncdm_bg',['../background_8h.html#a45fe099176d7cf0e2196d437a7ef1d6f',1,'background']]], - ['w_5ftrapz',['w_trapz',['../transfer_8h.html#a494d2fb2fd39b12fcf6f9628724e9d28',1,'transfer_workspace']]], - ['wa_5ffld',['wa_fld',['../background_8h.html#acdcf0ad1a86fa27264a1bde9beba37d1',1,'background']]], - ['write_5fbackground',['write_background',['../output_8h.html#a6cd19c7e14f82d8d28bfc9d637d6781c',1,'output']]], - ['write_5fheader',['write_header',['../output_8h.html#af1e6b5891529b5327786a5cf09032c4f',1,'output']]], - ['write_5fperturbations',['write_perturbations',['../output_8h.html#ac0133a84b97b22bd03596bca8f60f86d',1,'output']]], - ['write_5fprimordial',['write_primordial',['../output_8h.html#af85e93c87f4b5163e73ff1b99b75e1f3',1,'output']]], - ['write_5fthermodynamics',['write_thermodynamics',['../output_8h.html#a0803edaeac4394767bf1ac92ea4389dc',1,'output']]] -]; diff --git a/doc/manual/html/search/all_17.html b/doc/manual/html/search/all_17.html deleted file mode 100644 index 5ca9efdc..00000000 --- a/doc/manual/html/search/all_17.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_17.js b/doc/manual/html/search/all_17.js deleted file mode 100644 index abc5be2f..00000000 --- a/doc/manual/html/search/all_17.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['y',['y',['../perturbations_8h.html#af05dcb0f0d9c579ef53ef0d6c65f2709',1,'perturb_vector']]], - ['yhe',['YHe',['../thermodynamics_8h.html#a5659de2c81941b7a400fd7e7ea3c313d',1,'thermo::YHe()'],['../thermodynamics_8h.html#ab03e0d029be17effdb0a1b9a44ed35df',1,'recombination::YHe()']]] -]; diff --git a/doc/manual/html/search/all_18.html b/doc/manual/html/search/all_18.html deleted file mode 100644 index 069edeb7..00000000 --- a/doc/manual/html/search/all_18.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_18.js b/doc/manual/html/search/all_18.js deleted file mode 100644 index b796c2a4..00000000 --- a/doc/manual/html/search/all_18.js +++ /dev/null @@ -1,11 +0,0 @@ -var searchData= -[ - ['z_5fd',['z_d',['../thermodynamics_8h.html#a538b4456df5d31848278443a33358dc2',1,'thermo']]], - ['z_5feq',['z_eq',['../background_8h.html#a935a0fd24b41fd978c09b1ab6dafb5f9',1,'background']]], - ['z_5fmax_5fpk',['z_max_pk',['../perturbations_8h.html#a2d72e5b17cdc85ac301e50c3835d1311',1,'perturbs::z_max_pk()'],['../spectra_8h.html#a41d693f09f93f7d77ff9a441c9403f09',1,'spectra::z_max_pk()']]], - ['z_5fpk',['z_pk',['../output_8h.html#af0802a2f0198a459a538665088453276',1,'output']]], - ['z_5fpk_5fnum',['z_pk_num',['../output_8h.html#a50a980e835994df9d57456ae1c264629',1,'output']]], - ['z_5frec',['z_rec',['../thermodynamics_8h.html#ab66b58fac03cfcd90bf32ce38dae2bb7',1,'thermo']]], - ['z_5freio',['z_reio',['../thermodynamics_8h.html#a09cdddaec3d9d3be0c790a119b1023f0',1,'thermo']]], - ['z_5ftable',['z_table',['../background_8h.html#a16856423300cf5b8746ed6a6fd7adf56',1,'background::z_table()'],['../thermodynamics_8h.html#ac26e74ef1fcdbe7c3666dabeff610f12',1,'thermo::z_table()']]] -]; diff --git a/doc/manual/html/search/all_2.html b/doc/manual/html/search/all_2.html deleted file mode 100644 index 9543c57b..00000000 --- a/doc/manual/html/search/all_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_2.js b/doc/manual/html/search/all_2.js deleted file mode 100644 index 4785b640..00000000 --- a/doc/manual/html/search/all_2.js +++ /dev/null @@ -1,44 +0,0 @@ -var searchData= -[ - ['back_5fintegration_5fstepsize',['back_integration_stepsize',['../common_8h.html#ac356ae1b7e53af98eadb495a3b299a38',1,'precision']]], - ['background',['background',['../background_8h.html#structbackground',1,'']]], - ['background_2ec',['background.c',['../background_8c.html',1,'']]], - ['background_2eh',['background.h',['../background_8h.html',1,'']]], - ['background_5fat_5ftau',['background_at_tau',['../background_8c.html#ac47004414b208d36153f35d8465cace2',1,'background.c']]], - ['background_5fderivs',['background_derivs',['../background_8c.html#a7125aa3a44915ea6d0cca6f37613421a',1,'background.c']]], - ['background_5ffind_5fequality',['background_find_equality',['../background_8c.html#aed2984c000b71ae610410cd1a5490966',1,'background.c']]], - ['background_5ffree',['background_free',['../background_8c.html#a5b0d8db279856b3c96aba08c83aa19d6',1,'background.c']]], - ['background_5ffree_5finput',['background_free_input',['../background_8c.html#a61601a17447fc6a806921680d2e52c8f',1,'background.c']]], - ['background_5ffree_5fnoinput',['background_free_noinput',['../background_8c.html#a7c4d314e8a6131c2d1ebfb2cd2c17946',1,'background.c']]], - ['background_5ffunctions',['background_functions',['../background_8c.html#a302eb502773905601fa9b6936840682a',1,'background.c']]], - ['background_5findices',['background_indices',['../background_8c.html#a8934d2c903bb4c78b1b6a33a8c56e293',1,'background.c']]], - ['background_5finit',['background_init',['../background_8c.html#afeb0656453b92be39c60fb3fb1abd910',1,'background.c']]], - ['background_5finitial_5fconditions',['background_initial_conditions',['../background_8c.html#ad2dc56f010363d90bb1ad8447a32baf9',1,'background.c']]], - ['background_5fncdm_5fdistribution',['background_ncdm_distribution',['../background_8c.html#a3f8ea8dea94f63d01aa8fdcc3e0fb71a',1,'background.c']]], - ['background_5fncdm_5finit',['background_ncdm_init',['../background_8c.html#a7f380a260c9369b66422a58391797728',1,'background.c']]], - ['background_5fncdm_5fm_5ffrom_5fomega',['background_ncdm_M_from_Omega',['../background_8c.html#a5cc3564dbb251914c77d44f4990b21b9',1,'background.c']]], - ['background_5fncdm_5fmomenta',['background_ncdm_momenta',['../background_8c.html#afc47d7f15b3ff372df079890efcc6eb6',1,'background.c']]], - ['background_5fncdm_5ftest_5ffunction',['background_ncdm_test_function',['../background_8c.html#a59fa78f56e5b35c640712db6a7941a82',1,'background.c']]], - ['background_5foutput_5fdata',['background_output_data',['../background_8c.html#a0ff17dd11a557890bcd66920397828ad',1,'background.c']]], - ['background_5foutput_5ftitles',['background_output_titles',['../background_8c.html#a038afb8102e9f45af7524a59011c371f',1,'background.c']]], - ['background_5fparameters_5fand_5fworkspace',['background_parameters_and_workspace',['../background_8h.html#structbackground__parameters__and__workspace',1,'']]], - ['background_5fparameters_5ffor_5fdistributions',['background_parameters_for_distributions',['../background_8h.html#structbackground__parameters__for__distributions',1,'']]], - ['background_5fsolve',['background_solve',['../background_8c.html#aeb523f9c8e728f79e9b431d2020faa41',1,'background.c']]], - ['background_5ftable',['background_table',['../background_8h.html#aa3b9601706d7f9f46f4ff460591e7ade',1,'background']]], - ['background_5ftau_5fof_5fz',['background_tau_of_z',['../background_8c.html#a868e85eefe464a31b25639170ff9550c',1,'background.c']]], - ['background_5fverbose',['background_verbose',['../background_8h.html#a76e7e8bb2e0a7e4910de61772b459fdc',1,'background']]], - ['background_5fw_5ffld',['background_w_fld',['../background_8c.html#a488d6a6f015cec7a4eae21556e2298ca',1,'background.c']]], - ['behavior',['behavior',['../primordial_8h.html#ab464fedeeee3046d56ab92e193e9d5fb',1,'primordial']]], - ['beta_5fs',['beta_s',['../primordial_8h.html#ac78506262298c09f9f3caa8921dae17f',1,'primordial']]], - ['bfact',['Bfact',['../thermodynamics_8h.html#a40ba237a0441fef9248e37868e7f71ca',1,'recombination']]], - ['bg_5fsize',['bg_size',['../background_8h.html#a130359e1d60e308dae630ebee2332b81',1,'background']]], - ['bg_5fsize_5fnormal',['bg_size_normal',['../background_8h.html#a651b3fd365f5cceb9af3bd39d9c85e11',1,'background']]], - ['bg_5fsize_5fshort',['bg_size_short',['../background_8h.html#a5cbff7da365e1362a7d20f11d6c7043d',1,'background']]], - ['bi_5fb_5fsize',['bi_B_size',['../background_8h.html#abd6b3cff248235abb658f0ab90b6c712',1,'background']]], - ['bi_5fsize',['bi_size',['../background_8h.html#a738e597f277f45470000979f9cb360f4',1,'background']]], - ['binned_5freio_5fnum',['binned_reio_num',['../thermodynamics_8h.html#a5f115357a3c951feb221fe195a0e3a84',1,'thermo']]], - ['binned_5freio_5fstep_5fsharpness',['binned_reio_step_sharpness',['../thermodynamics_8h.html#a8059572ea77e901114e2a617cd31c8e7',1,'thermo']]], - ['binned_5freio_5fxe',['binned_reio_xe',['../thermodynamics_8h.html#a502646184962388167cc9e77f6318f2a',1,'thermo']]], - ['binned_5freio_5fz',['binned_reio_z',['../thermodynamics_8h.html#a88cd6b43f9f3ec6251d087324ce99a0f',1,'thermo']]], - ['bt_5fsize',['bt_size',['../background_8h.html#aa44b240483b9a5d173cfcde81340c733',1,'background']]] -]; diff --git a/doc/manual/html/search/all_3.html b/doc/manual/html/search/all_3.html deleted file mode 100644 index 03405c0f..00000000 --- a/doc/manual/html/search/all_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_3.js b/doc/manual/html/search/all_3.js deleted file mode 100644 index 1ab71079..00000000 --- a/doc/manual/html/search/all_3.js +++ /dev/null @@ -1,51 +0,0 @@ -var searchData= -[ - ['c_5fad_5fbi',['c_ad_bi',['../primordial_8h.html#a35b7d8e65abe6f95dbd14b5879e8fe91',1,'primordial']]], - ['c_5fad_5fcdi',['c_ad_cdi',['../primordial_8h.html#aa58017cdb6bfce55e582febac6b7e274',1,'primordial']]], - ['c_5fad_5fnid',['c_ad_nid',['../primordial_8h.html#a941871f34f174a3de50affcfa34642c6',1,'primordial']]], - ['c_5fad_5fniv',['c_ad_niv',['../primordial_8h.html#a2159a195a133cd55ecc4d61c638fd0f5',1,'primordial']]], - ['c_5fbi_5fcdi',['c_bi_cdi',['../primordial_8h.html#acc872d960271afabd1b2fe3bad69d1ed',1,'primordial']]], - ['c_5fbi_5fnid',['c_bi_nid',['../primordial_8h.html#a76559d33bf29bbb9b6f72c0f4f490805',1,'primordial']]], - ['c_5fbi_5fniv',['c_bi_niv',['../primordial_8h.html#ac3b1f114df15db4a9095a9fb281aa5d5',1,'primordial']]], - ['c_5fcdi_5fnid',['c_cdi_nid',['../primordial_8h.html#a60a344c5d21aecbe6812f87e97043f5c',1,'primordial']]], - ['c_5fcdi_5fniv',['c_cdi_niv',['../primordial_8h.html#ab69f11f2431dec095b0c71f60a774733',1,'primordial']]], - ['c_5fgamma_5fover_5fc_5ffld',['c_gamma_over_c_fld',['../background_8h.html#aa821d266aa8e2bec8a8649b9ecaf5aae',1,'background']]], - ['c_5fnid_5fniv',['c_nid_niv',['../primordial_8h.html#a421b0bdcfe05eaabfd63cc3eaa63f971',1,'primordial']]], - ['cb1',['CB1',['../thermodynamics_8h.html#ab95b5c562931dfd60b4cbba24926ea4e',1,'recombination']]], - ['cb1_5fhe1',['CB1_He1',['../thermodynamics_8h.html#a94ad83481ea0713773b598f47c97985a',1,'recombination']]], - ['cb1_5fhe2',['CB1_He2',['../thermodynamics_8h.html#a5843798e46e0fe1b87ecae7254eae2af',1,'recombination']]], - ['cdb',['CDB',['../thermodynamics_8h.html#a96627d05a1b5c7109755156f1990028d',1,'recombination']]], - ['cdb_5fhe',['CDB_He',['../thermodynamics_8h.html#abc7c14bfb190b723f1a99e6c4012c025',1,'recombination']]], - ['chi',['chi',['../transfer_8h.html#a48c29fdc48117dddcb0b4a872f1eea0a',1,'transfer_workspace']]], - ['ck',['CK',['../thermodynamics_8h.html#a0ec602a44c209c88f3890e17f2275004',1,'recombination']]], - ['ck_5fhe',['CK_He',['../thermodynamics_8h.html#a8ba09e03d069a1387f20eebdfe4bfde5',1,'recombination']]], - ['cl',['cl',['../spectra_8h.html#a69a6084de38d2cc86b9c2e25eb7cd1e9',1,'spectra::cl()'],['../thermodynamics_8h.html#a855a4893fcf363c3932a991748c3146b',1,'recombination::CL()']]], - ['cl_5fhe',['CL_He',['../thermodynamics_8h.html#a0d9b5cad8b15d5b62676fb7215700629',1,'recombination']]], - ['cl_5flens',['cl_lens',['../lensing_8h.html#acc56a1d7a46570f79ba64abc1a6f8d63',1,'lensing']]], - ['class_2ec',['class.c',['../class_8c.html',1,'']]], - ['class_5ffzero_5fridder',['class_fzero_ridder',['../input_8c.html#a3fce286212c955b92a4cfd3f76194e2e',1,'input.c']]], - ['command',['command',['../primordial_8h.html#a3ee1124987e79d818ad2987c3a9dfe29',1,'primordial']]], - ['common_2eh',['common.h',['../common_8h.html',1,'']]], - ['compute_5fcb2_5fderivatives',['compute_cb2_derivatives',['../thermodynamics_8h.html#a3d509e606f8d353fed5b353562fbec2a',1,'thermo']]], - ['compute_5fdamping_5fscale',['compute_damping_scale',['../thermodynamics_8h.html#a0ad4a85264f773d11292fc66c5f9d598',1,'thermo']]], - ['conformal_5fage',['conformal_age',['../background_8h.html#af5353323a6707b6284399d8b44dd2b3c',1,'background']]], - ['cotkgen',['cotKgen',['../transfer_8h.html#acd80ed43dfaa2eadf1695c8fd4f5b076',1,'transfer_workspace']]], - ['cr',['CR',['../thermodynamics_8h.html#a591a5427ffcfe8cf78ca4c5c3bf33090',1,'recombination']]], - ['cs2_5ffld',['cs2_fld',['../background_8h.html#a911297f394082415f68263eab8f51127',1,'background']]], - ['csckgen',['cscKgen',['../transfer_8h.html#a17cecce242bacda64a431ca5f1532a30',1,'transfer_workspace']]], - ['ct',['CT',['../thermodynamics_8h.html#a4d7f1237951e3466b8f6df1c2f59a864',1,'recombination']]], - ['ct_5fsize',['ct_size',['../spectra_8h.html#aff6e3a254bd882214107e13a5b49aeec',1,'spectra']]], - ['curvature_5fini',['curvature_ini',['../common_8h.html#a4442f124b8794be09b9c4101d3953ccc',1,'precision']]], - ['custom1',['custom1',['../primordial_8h.html#aa9b94fec07f3dbd612b95d326e125214',1,'primordial']]], - ['custom10',['custom10',['../primordial_8h.html#afb27e679a3c3e6a92f8cd4cc07a4596a',1,'primordial']]], - ['custom2',['custom2',['../primordial_8h.html#a13db350a385d3802a9061bc0128c6803',1,'primordial']]], - ['custom3',['custom3',['../primordial_8h.html#ac78bc0e328981d0a3bbc80407f4db44a',1,'primordial']]], - ['custom4',['custom4',['../primordial_8h.html#a8655e570945546313665e11cabdd2a02',1,'primordial']]], - ['custom5',['custom5',['../primordial_8h.html#aeae05d528aec4c4b9c2a905d63dd2b29',1,'primordial']]], - ['custom6',['custom6',['../primordial_8h.html#afe791ab320c73f942942654cd5cb3874',1,'primordial']]], - ['custom7',['custom7',['../primordial_8h.html#a35690744dc4e460cbbfd880e3a57b307',1,'primordial']]], - ['custom8',['custom8',['../primordial_8h.html#a698f3572e5bc05d7ccaef7e96f4b73eb',1,'primordial']]], - ['custom9',['custom9',['../primordial_8h.html#a286e9e0de38f5f755f6b48da930aa2dc',1,'primordial']]], - ['class_3a_20cosmic_20linear_20anisotropy_20solving_20system',['CLASS: Cosmic Linear Anisotropy Solving System',['../index.html',1,'']]], - ['class_20overview_20_28architecture_2c_20input_2foutput_2c_20general_20principles_29',['CLASS overview (architecture, input/output, general principles)',['../md_chap3.html',1,'']]] -]; diff --git a/doc/manual/html/search/all_4.html b/doc/manual/html/search/all_4.html deleted file mode 100644 index 8e1f4b9c..00000000 --- a/doc/manual/html/search/all_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_4.js b/doc/manual/html/search/all_4.js deleted file mode 100644 index 8d072eb1..00000000 --- a/doc/manual/html/search/all_4.js +++ /dev/null @@ -1,35 +0,0 @@ -var searchData= -[ - ['d2background_5fdtau2_5ftable',['d2background_dtau2_table',['../background_8h.html#a9565c380bec8c9caf93064ede368770a',1,'background']]], - ['d2tau_5fdz2_5ftable',['d2tau_dz2_table',['../background_8h.html#a7104096aa3d26462cd171ddd79f955ef',1,'background']]], - ['d2thermodynamics_5fdz2_5ftable',['d2thermodynamics_dz2_table',['../thermodynamics_8h.html#a49c943271cb4aac61c94bc319ab29910',1,'thermo']]], - ['d_5fsize',['d_size',['../spectra_8h.html#a85e7f6e1bc4fedf4b465f9253e39bc0e',1,'spectra']]], - ['da_5frec',['da_rec',['../thermodynamics_8h.html#a2c58c6c497268309b8d658a7b1ea216f',1,'thermo']]], - ['ddcl',['ddcl',['../spectra_8h.html#a15869600b6b48f5b649294dab435f901',1,'spectra']]], - ['ddcl_5flens',['ddcl_lens',['../lensing_8h.html#a9f78b598f39844238cb8b1c1fab969db',1,'lensing']]], - ['ddln_5fpk',['ddln_pk',['../spectra_8h.html#a7ccfff6972618e81fac66595de4b8611',1,'spectra']]], - ['ddln_5fpk_5fcb',['ddln_pk_cb',['../spectra_8h.html#a3eafe6f1a176487cb7ca3453e013fccc',1,'spectra']]], - ['ddln_5fpk_5fcb_5fl',['ddln_pk_cb_l',['../spectra_8h.html#aad1321f83b0d65048029d28d13292403',1,'spectra']]], - ['ddln_5fpk_5fcb_5fnl',['ddln_pk_cb_nl',['../spectra_8h.html#a2e66e2a8471670ca82c66451aa5f474f',1,'spectra']]], - ['ddln_5fpk_5fl',['ddln_pk_l',['../spectra_8h.html#a371feb8b5ec10d495e05b81df054664d',1,'spectra']]], - ['ddln_5fpk_5fnl',['ddln_pk_nl',['../spectra_8h.html#a6783c1646f113d129dc37680bba3116a',1,'spectra']]], - ['ddlnpk',['ddlnpk',['../primordial_8h.html#a0ab953a61c9b5acc8fef42189c373066',1,'primordial']]], - ['ddmatter_5ftransfer',['ddmatter_transfer',['../spectra_8h.html#aeb346f3ee67d3cf0fd74353277e7a1b5',1,'spectra']]], - ['decay',['decay',['../thermodynamics_8h.html#a2200cfa2674a5489210d32c6d0fc48cb',1,'thermo::decay()'],['../thermodynamics_8h.html#a3c52e95d8a82a4dcfbc9495e708cf044',1,'recombination::decay()']]], - ['deg_5fncdm_5fdefault',['deg_ncdm_default',['../background_8h.html#a3b3564e036c5598f9f759c115f8d8a32',1,'background']]], - ['delta_5fbc_5fsquared',['delta_bc_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0ca3ac991356a90d7ef50cf06f2e287939e',1,'common.h']]], - ['delta_5fcb',['delta_cb',['../perturbations_8h.html#a897f5b42ffea7a51e4516dcf37af018f',1,'perturb_workspace']]], - ['delta_5fl_5fmax',['delta_l_max',['../common_8h.html#a9170fe3386b23313c66d6baaaa182ff7',1,'precision']]], - ['delta_5fm',['delta_m',['../perturbations_8h.html#ae531e6d411f7f9dc56e39d3d3cc09b4a',1,'perturb_workspace']]], - ['delta_5fm_5fsquared',['delta_m_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0cadf09cc6e3587e8d8f58386df9305c6ce',1,'common.h']]], - ['delta_5fncdm',['delta_ncdm',['../perturbations_8h.html#a05a19b2b3597d8b717569b3d22969921',1,'perturb_workspace']]], - ['delta_5fp',['delta_p',['../perturbations_8h.html#a17e85624d4131c4e4c99bd57f883c416',1,'perturb_workspace']]], - ['delta_5frho',['delta_rho',['../perturbations_8h.html#a313fc9485defc5c8c69ec3080eba1647',1,'perturb_workspace']]], - ['delta_5frho_5ffld',['delta_rho_fld',['../perturbations_8h.html#a1ff232ab9972a00e7d7a6555a273e3ff',1,'perturb_workspace']]], - ['delta_5ftot_5ffrom_5fpoisson_5fsquared',['delta_tot_from_poisson_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0ca8406d31036bb2d430753210d3270f7b2',1,'common.h']]], - ['delta_5ftot_5fsquared',['delta_tot_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0caad4f0a8f52a0e789973f85d0351d359b',1,'common.h']]], - ['dlnf0_5fdlnq_5fncdm',['dlnf0_dlnq_ncdm',['../background_8h.html#a0d55e502abf84a474a51af8d9d352ae3',1,'background']]], - ['ds_5fd',['ds_d',['../thermodynamics_8h.html#af146a478a958c395eea06936778046a6',1,'thermo']]], - ['ds_5frec',['ds_rec',['../thermodynamics_8h.html#a0b850d5fa4f35c4912a361a2de85b373',1,'thermo']]], - ['dy',['dy',['../perturbations_8h.html#aa5479285a85767454622c410b11c6e78',1,'perturb_vector']]] -]; diff --git a/doc/manual/html/search/all_5.html b/doc/manual/html/search/all_5.html deleted file mode 100644 index 89a879ea..00000000 --- a/doc/manual/html/search/all_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_5.js b/doc/manual/html/search/all_5.js deleted file mode 100644 index 0368101d..00000000 --- a/doc/manual/html/search/all_5.js +++ /dev/null @@ -1,11 +0,0 @@ -var searchData= -[ - ['eisw_5flisw_5fsplit_5fz',['eisw_lisw_split_z',['../perturbations_8h.html#aff6edf3e9eb24778b98c0ff9d71b3430',1,'perturbs']]], - ['entropy_5fini',['entropy_ini',['../common_8h.html#a6ce401f13c63206c868683b31a92b6f2',1,'precision']]], - ['equation_5fof_5fstate',['equation_of_state',['../background_8h.html#a72c36a03e1a76af13b5cc73c1904af06',1,'background.h']]], - ['error_5fmessage',['error_message',['../background_8h.html#ac2aa2ba4b8592e3f4c3bb8a2924dcf42',1,'background::error_message()'],['../common_8h.html#a1ad6fe4f58eff070f3879d20aa05dc5b',1,'precision::error_message()'],['../lensing_8h.html#a49b1b8ff165b21d6a2a34287a7f241d8',1,'lensing::error_message()'],['../structnonlinear.html#aea8dcc26882acb6c85a66e1aabcbc6c9',1,'nonlinear::error_message()'],['../output_8h.html#a9b379f36863d6969898a97291fa78ec3',1,'output::error_message()'],['../perturbations_8h.html#a16c8ca2b0bcad20402f8f805589f48bb',1,'perturbs::error_message()'],['../primordial_8h.html#ab6d0c136fc05447ed3c3c2a50277571c',1,'primordial::error_message()'],['../spectra_8h.html#ad9a93e571d2c183e38474056234fc91b',1,'spectra::error_message()'],['../thermodynamics_8h.html#a68eabc65d6d68d2152e2c0d075e69aea',1,'thermo::error_message()'],['../transfer_8h.html#acbb8a854ea85db2e34b18f18c4cca9ca',1,'transfers::error_message()']]], - ['evolve_5ftensor_5fncdm',['evolve_tensor_ncdm',['../perturbations_8h.html#adcaa3d85397351a0151065346f00b3d6',1,'perturbs']]], - ['evolve_5ftensor_5fur',['evolve_tensor_ur',['../perturbations_8h.html#a08587660d0693d074671e86df628e4f2',1,'perturbs']]], - ['evolver',['evolver',['../common_8h.html#abf73fec0ba7a2b9bfc2b31f0ad69637b',1,'precision']]], - ['evolver_5ftype',['evolver_type',['../common_8h.html#a554a0cdfc80aa49273197d324b2e9956',1,'common.h']]] -]; diff --git a/doc/manual/html/search/all_6.html b/doc/manual/html/search/all_6.html deleted file mode 100644 index 6afac066..00000000 --- a/doc/manual/html/search/all_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_6.js b/doc/manual/html/search/all_6.js deleted file mode 100644 index 536cbb59..00000000 --- a/doc/manual/html/search/all_6.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['f1',['f1',['../thermodynamics_8h.html#af26abb8c819fd3cf4d6cb0711c80b9ee',1,'thermodynamics.h']]], - ['f2',['f2',['../thermodynamics_8h.html#a5cd67c8452696b8eebb34709acc71f36',1,'thermodynamics.h']]], - ['f_5fbi',['f_bi',['../primordial_8h.html#a39effc6417460af3d49d9bdfadc4e9ba',1,'primordial']]], - ['f_5fcdi',['f_cdi',['../primordial_8h.html#aa8472691ad4a9e278ef4204b4ded7f39',1,'primordial']]], - ['f_5fnid',['f_nid',['../primordial_8h.html#a355f4f1a0f3d07dd585afd90be0d5f33',1,'primordial']]], - ['f_5fniv',['f_niv',['../primordial_8h.html#a5c8bfaf9d87e936f5f2d1732e2bdb2ea',1,'primordial']]], - ['factor_5fncdm',['factor_ncdm',['../background_8h.html#a96b570d10c77a6fc4ca09759ed233906',1,'background']]], - ['fhe',['fHe',['../thermodynamics_8h.html#abd42dddfc07621c1934035dce015ade4',1,'recombination']]], - ['file_5fformat',['file_format',['../common_8h.html#abd81d11867ad50357ea8332e8d36cf8a',1,'common.h']]], - ['fluid_5fequation_5fof_5fstate',['fluid_equation_of_state',['../background_8h.html#a9120b4e2259f7ddbe89bb77db8b30269',1,'background']]], - ['fu',['fu',['../thermodynamics_8h.html#ae23d85a5262d4ff6121889e3b38bb4ed',1,'recombination']]] -]; diff --git a/doc/manual/html/search/all_7.html b/doc/manual/html/search/all_7.html deleted file mode 100644 index de191077..00000000 --- a/doc/manual/html/search/all_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_7.js b/doc/manual/html/search/all_7.js deleted file mode 100644 index 9f2c1bcb..00000000 --- a/doc/manual/html/search/all_7.js +++ /dev/null @@ -1,10 +0,0 @@ -var searchData= -[ - ['gamma_5fdcdm',['Gamma_dcdm',['../background_8h.html#a00a94e23ccff5e89a77c12d1a1ef32d8',1,'background']]], - ['gamma_5fprime_5ffld',['Gamma_prime_fld',['../perturbations_8h.html#a2a4ed53c8fbbb42d8b1e451584a7672c',1,'perturb_workspace']]], - ['gauge',['gauge',['../perturbations_8h.html#a8393f374d4a6623e0a7d3316d2320093',1,'perturbs']]], - ['get_5fmachine_5fprecision',['get_machine_precision',['../input_8c.html#a0b2960329fe47db0b2793700ddd4a604',1,'input.c']]], - ['got_5ffiles',['got_files',['../background_8h.html#a1f83cf53eb9a656c780428a86ab995bc',1,'background']]], - ['gw_5fini',['gw_ini',['../common_8h.html#a041374f376ae5b6f9192b15c78b8bb73',1,'precision']]], - ['gw_5fsource',['gw_source',['../perturbations_8h.html#ada07e385e7572811616e675d5b4ff7e3',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/all_8.html b/doc/manual/html/search/all_8.html deleted file mode 100644 index 11e27cdb..00000000 --- a/doc/manual/html/search/all_8.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_8.js b/doc/manual/html/search/all_8.js deleted file mode 100644 index 37fb35f7..00000000 --- a/doc/manual/html/search/all_8.js +++ /dev/null @@ -1,118 +0,0 @@ -var searchData= -[ - ['h',['h',['../background_8h.html#a15e42418e0ae22959e110abf99a5e07e',1,'background']]], - ['h0',['H0',['../background_8h.html#aa78cfbd2348998f01f7301e02f2c7470',1,'background::H0()'],['../primordial_8h.html#ab621cf641b1b373c2b83d1b48959f1e8',1,'primordial::H0()'],['../thermodynamics_8h.html#aaca59e2498c91ed2fb9498f0c3f0024a',1,'recombination::H0()']]], - ['h1',['H1',['../primordial_8h.html#a6565415995e1345211957b0dc6f6d474',1,'primordial']]], - ['h2',['H2',['../primordial_8h.html#affa543bbe66af826ca4631b763850bb8',1,'primordial']]], - ['h3',['H3',['../primordial_8h.html#a3ce0173998d10166267b65f2c95e5f86',1,'primordial']]], - ['h4',['H4',['../primordial_8h.html#a8ae30b2a82b5e5a76dee555d449e2eef',1,'primordial']]], - ['h_5feq',['H_eq',['../background_8h.html#ae14cc8afe76fbfdc026f77c5e8a35fe7',1,'background']]], - ['h_5ffrac',['H_frac',['../thermodynamics_8h.html#a02d78534d314296f27b88e36916184cf',1,'recombination']]], - ['halofit_5fk_5fper_5fdecade',['halofit_k_per_decade',['../common_8h.html#a81f4880893807d14a59ff4818ebe9a21',1,'precision']]], - ['halofit_5fmin_5fk_5fmax',['halofit_min_k_max',['../common_8h.html#a686f8c90cc81580c52fd01165e793a34',1,'precision']]], - ['halofit_5fmin_5fk_5fnonlinear',['halofit_min_k_nonlinear',['../common_8h.html#acf85ffaeeefea5704d7df193d738e388',1,'precision']]], - ['halofit_5fsigma_5fprecision',['halofit_sigma_precision',['../common_8h.html#aa68f0ff8af918a5b1628af6699c53902',1,'precision']]], - ['halofit_5ftol_5fsigma',['halofit_tol_sigma',['../common_8h.html#a1fe8140092306b49d86576e181166af6',1,'precision']]], - ['has_5fad',['has_ad',['../perturbations_8h.html#ae148066fea5dcba2bdc1b967983c1655',1,'perturbs']]], - ['has_5fbb',['has_bb',['../lensing_8h.html#a3376eecdeb0890aa641d75537eddb8ec',1,'lensing::has_bb()'],['../spectra_8h.html#a51a275b988dd0df83ba035baa81dfc25',1,'spectra::has_bb()']]], - ['has_5fbi',['has_bi',['../perturbations_8h.html#a7e303e23b8b2d1585838a3c7c7dcfced',1,'perturbs']]], - ['has_5fcdi',['has_cdi',['../perturbations_8h.html#a0ec625da77600b644aebf1aa88aacb82',1,'perturbs']]], - ['has_5fcdm',['has_cdm',['../background_8h.html#afdbecc1d3a9c66455776d822ba779495',1,'background']]], - ['has_5fcl_5fcmb_5flensing_5fpotential',['has_cl_cmb_lensing_potential',['../perturbations_8h.html#ac7a36a1715ef65246af629c337a4805d',1,'perturbs']]], - ['has_5fcl_5fcmb_5fpolarization',['has_cl_cmb_polarization',['../perturbations_8h.html#a3f75b0cf00fd2e7ca1998c21b3b1a90a',1,'perturbs']]], - ['has_5fcl_5fcmb_5ftemperature',['has_cl_cmb_temperature',['../perturbations_8h.html#a3ea461ead5cd72fa0bb140c8cff2a288',1,'perturbs']]], - ['has_5fcl_5flensing_5fpotential',['has_cl_lensing_potential',['../perturbations_8h.html#a9ff9cda3bda5ddfdd50625a9278f489f',1,'perturbs']]], - ['has_5fcl_5fnumber_5fcount',['has_cl_number_count',['../perturbations_8h.html#a9e92b8cbf2e35f695728171a99dbcc25',1,'perturbs']]], - ['has_5fcls',['has_cls',['../perturbations_8h.html#a4b6be6c87262b8b7ee49b5addb252c75',1,'perturbs::has_cls()'],['../transfer_8h.html#a65e35e7d6e4c4dd0c96a9433c359151b',1,'transfers::has_cls()']]], - ['has_5fcmb',['has_cmb',['../perturbations_8h.html#a65e30cbbedca0bcdd633e028481a9a8d',1,'perturbs']]], - ['has_5fcurvature',['has_curvature',['../background_8h.html#a9c310bc35b545d3b11a0ba0248ada0fe',1,'background']]], - ['has_5fdcdm',['has_dcdm',['../background_8h.html#acddb16d4884498f3f65012e35d8a6ad5',1,'background']]], - ['has_5fdd',['has_dd',['../lensing_8h.html#a8272d8d201b4359ee991580d82c8f5d2',1,'lensing::has_dd()'],['../spectra_8h.html#afbc6c738740c33e18d3d303f5732f634',1,'spectra::has_dd()']]], - ['has_5fdensity_5ftransfers',['has_density_transfers',['../perturbations_8h.html#a66bf493f8b2c0ba1a325b0515c8016f1',1,'perturbs']]], - ['has_5fdl',['has_dl',['../spectra_8h.html#afe95d8f9c9ec3b8bc42d1cfcbc623617',1,'spectra']]], - ['has_5fdr',['has_dr',['../background_8h.html#af082409dbf48f0760f3ae9c0d9c94064',1,'background']]], - ['has_5fee',['has_ee',['../lensing_8h.html#a6c9bdc11a537514889967c770da62454',1,'lensing::has_ee()'],['../spectra_8h.html#a99c6dcf41a0eacbb4bf7d40b1f863c54',1,'spectra::has_ee()']]], - ['has_5fep',['has_ep',['../spectra_8h.html#a6f7d568e4cd0fe5af4eba76606990d21',1,'spectra']]], - ['has_5ffld',['has_fld',['../background_8h.html#a349bce42f3647a4eb964712e9ae55979',1,'background']]], - ['has_5flambda',['has_lambda',['../background_8h.html#ae37394e93a9affa2c4b2834835e377ff',1,'background']]], - ['has_5flensed_5fcls',['has_lensed_cls',['../lensing_8h.html#ae26244b4a356df2ac432dbbd2a1860f3',1,'lensing']]], - ['has_5fll',['has_ll',['../lensing_8h.html#afa2e2c2454a5709b4f138bb2a0918b69',1,'lensing::has_ll()'],['../spectra_8h.html#abb71a55dda8d9af0d7ff16484511f748',1,'spectra::has_ll()']]], - ['has_5flss',['has_lss',['../perturbations_8h.html#a793d6ea21df1d0c1ac395b7cb0ccb286',1,'perturbs']]], - ['has_5fmetricpotential_5ftransfers',['has_metricpotential_transfers',['../perturbations_8h.html#ad5176409e6b4a40f2bd6e0941778b433',1,'perturbs']]], - ['has_5fnc_5fdensity',['has_nc_density',['../perturbations_8h.html#a8f31b55e477131b930ec0ab420f07ae8',1,'perturbs']]], - ['has_5fnc_5fgr',['has_nc_gr',['../perturbations_8h.html#a884ac3cb3b6f0df6526dfbb12aedcc68',1,'perturbs']]], - ['has_5fnc_5flens',['has_nc_lens',['../perturbations_8h.html#a0dac978b624796b77ef2524fb5684219',1,'perturbs']]], - ['has_5fnc_5frsd',['has_nc_rsd',['../perturbations_8h.html#a1a4321650e9b7ca6188aee55641442d3',1,'perturbs']]], - ['has_5fncdm',['has_ncdm',['../background_8h.html#a2bffb876100e06719440ab70155d771e',1,'background']]], - ['has_5fnid',['has_nid',['../perturbations_8h.html#a607fe60ba4626c17d5b916e58c309929',1,'perturbs']]], - ['has_5fniv',['has_niv',['../perturbations_8h.html#a745628908c03bfc4e2be3a5ef5e8415f',1,'perturbs']]], - ['has_5fnl_5fcorrections_5fbased_5fon_5fdelta_5fm',['has_nl_corrections_based_on_delta_m',['../perturbations_8h.html#a9d4ef4638ee4a3b4b8b9ecc1c6ffea34',1,'perturbs']]], - ['has_5fnz_5fanalytic',['has_nz_analytic',['../transfer_8h.html#af262b11017ed9d84c33310b9c00abe4c',1,'transfers']]], - ['has_5fnz_5fevo_5fanalytic',['has_nz_evo_analytic',['../transfer_8h.html#a3416018376bd5fa824e70d0d6fe13895',1,'transfers']]], - ['has_5fnz_5fevo_5ffile',['has_nz_evo_file',['../transfer_8h.html#a7ce510733fc12ca3c9d2ac98cf1d3b08',1,'transfers']]], - ['has_5fnz_5ffile',['has_nz_file',['../transfer_8h.html#a14e959fc0d7bda1024931143936ccc66',1,'transfers']]], - ['has_5fon_5fthe_5fspot',['has_on_the_spot',['../thermodynamics_8h.html#ab832f907a088efc0d5961151a2fde139',1,'thermo::has_on_the_spot()'],['../thermodynamics_8h.html#a29e62566c5e6b619095da95ee4c2aed0',1,'recombination::has_on_the_spot()']]], - ['has_5fpd',['has_pd',['../spectra_8h.html#a9b96d2d94c28fbfd619659bd694f16c2',1,'spectra']]], - ['has_5fperturbations',['has_perturbations',['../perturbations_8h.html#a76a9f8c71d5a0b77fb5b9a4fad4c2ff0',1,'perturbs']]], - ['has_5fperturbed_5frecombination',['has_perturbed_recombination',['../perturbations_8h.html#a128215104a97772266e2a91e6df1a20d',1,'perturbs']]], - ['has_5fpk_5fcb',['has_pk_cb',['../structnonlinear.html#a545a784bf86e6304be4e2cf3f71e0a40',1,'nonlinear']]], - ['has_5fpk_5feq',['has_pk_eq',['../structnonlinear.html#ae559a841b4adf1affba72a9ee7aa6bb1',1,'nonlinear']]], - ['has_5fpk_5fm',['has_pk_m',['../structnonlinear.html#a187aed56225caf3f06e51f4eb9e6e62a',1,'nonlinear']]], - ['has_5fpk_5fmatter',['has_pk_matter',['../perturbations_8h.html#aa1ab742c10712d5bd5e3bf8e9c038f35',1,'perturbs']]], - ['has_5fpp',['has_pp',['../lensing_8h.html#acc4fa5ed870629b5316a8db955633a58',1,'lensing::has_pp()'],['../spectra_8h.html#a732653a2b76d2f306c002e54f763e787',1,'spectra::has_pp()']]], - ['has_5fscalars',['has_scalars',['../perturbations_8h.html#ad29f0bad04ea77581fe3b0ce7ac1443e',1,'perturbs']]], - ['has_5fscf',['has_scf',['../background_8h.html#acf1c4a6b4e8f2fe176ea9ef19a528333',1,'background']]], - ['has_5fsource_5fdelta_5fb',['has_source_delta_b',['../perturbations_8h.html#a41c758549328599f8d76f751b0c03ba5',1,'perturbs']]], - ['has_5fsource_5fdelta_5fcb',['has_source_delta_cb',['../perturbations_8h.html#a7a99fbd4d9c4e33b71c2c6a771429edf',1,'perturbs']]], - ['has_5fsource_5fdelta_5fcdm',['has_source_delta_cdm',['../perturbations_8h.html#a0e98b3d1c062f672173c4fead449b1d2',1,'perturbs']]], - ['has_5fsource_5fdelta_5fdcdm',['has_source_delta_dcdm',['../perturbations_8h.html#a7c73cc67a9335713544b8204a626dfbf',1,'perturbs']]], - ['has_5fsource_5fdelta_5fdr',['has_source_delta_dr',['../perturbations_8h.html#a57a2335d0cf53db60ace61d6ea463b91',1,'perturbs']]], - ['has_5fsource_5fdelta_5ffld',['has_source_delta_fld',['../perturbations_8h.html#af240e3b045dcef6d9daffae34299f022',1,'perturbs']]], - ['has_5fsource_5fdelta_5fg',['has_source_delta_g',['../perturbations_8h.html#a22574f78bf9e6ef7fecea7163ce014fd',1,'perturbs']]], - ['has_5fsource_5fdelta_5fm',['has_source_delta_m',['../perturbations_8h.html#a9d3e2eefcdeba35cb04b8ddeefc93138',1,'perturbs']]], - ['has_5fsource_5fdelta_5fncdm',['has_source_delta_ncdm',['../perturbations_8h.html#a8b736b4d86cf75cd0e3e659fa366e471',1,'perturbs']]], - ['has_5fsource_5fdelta_5fscf',['has_source_delta_scf',['../perturbations_8h.html#a133c59b3c501eae1b39618dc7858fadb',1,'perturbs']]], - ['has_5fsource_5fdelta_5fur',['has_source_delta_ur',['../perturbations_8h.html#a37ad2e728883cded1fd1049b85280ca0',1,'perturbs']]], - ['has_5fsource_5feta',['has_source_eta',['../perturbations_8h.html#a3d7242ad3ae11205ae3c470f77291207',1,'perturbs']]], - ['has_5fsource_5feta_5fprime',['has_source_eta_prime',['../perturbations_8h.html#ae0e7f9472967ca42f7b950774bd57a5a',1,'perturbs']]], - ['has_5fsource_5fh',['has_source_h',['../perturbations_8h.html#ae3887f5812704c606eb8d147088d628c',1,'perturbs']]], - ['has_5fsource_5fh_5fprime',['has_source_h_prime',['../perturbations_8h.html#ad4c8e3aee17aa66c1ec6575b8375a22b',1,'perturbs']]], - ['has_5fsource_5fp',['has_source_p',['../perturbations_8h.html#a7b65eee1d2324cc54ba5b41b3aa92f9b',1,'perturbs']]], - ['has_5fsource_5fphi',['has_source_phi',['../perturbations_8h.html#a686c1976504816fe3e84e3957acf0316',1,'perturbs']]], - ['has_5fsource_5fphi_5fplus_5fpsi',['has_source_phi_plus_psi',['../perturbations_8h.html#a8308ff9d94f659b8a55af4c5a27d02ac',1,'perturbs']]], - ['has_5fsource_5fphi_5fprime',['has_source_phi_prime',['../perturbations_8h.html#a036eb0ecd1038d981a9a87f70ac63b47',1,'perturbs']]], - ['has_5fsource_5fpsi',['has_source_psi',['../perturbations_8h.html#a8796782640ad93da21f21a8d983a30f5',1,'perturbs']]], - ['has_5fsource_5ft',['has_source_t',['../perturbations_8h.html#ab5ef146b01c6b2757d1c49f6c05d466a',1,'perturbs']]], - ['has_5fsource_5ftheta_5fb',['has_source_theta_b',['../perturbations_8h.html#af3ea9a0f4b4c292d2ffd9dd341c3b780',1,'perturbs']]], - ['has_5fsource_5ftheta_5fcb',['has_source_theta_cb',['../perturbations_8h.html#a810e72671bb00eba25d16496f01d24c0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fcdm',['has_source_theta_cdm',['../perturbations_8h.html#aab541b354516fcd9da0afcb26a9fed2f',1,'perturbs']]], - ['has_5fsource_5ftheta_5fdcdm',['has_source_theta_dcdm',['../perturbations_8h.html#adda35d646eba2eabc09a21861effb845',1,'perturbs']]], - ['has_5fsource_5ftheta_5fdr',['has_source_theta_dr',['../perturbations_8h.html#ae2d6794a43a4934ac736d15047118231',1,'perturbs']]], - ['has_5fsource_5ftheta_5ffld',['has_source_theta_fld',['../perturbations_8h.html#a7844fa1f1b92db322eae436fc0ff8c32',1,'perturbs']]], - ['has_5fsource_5ftheta_5fg',['has_source_theta_g',['../perturbations_8h.html#a4fefb7e583efc7cb8be65dff695f52e0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fm',['has_source_theta_m',['../perturbations_8h.html#a0fb2447711f3ded5eab62d1a6cddc36a',1,'perturbs']]], - ['has_5fsource_5ftheta_5fncdm',['has_source_theta_ncdm',['../perturbations_8h.html#ad2fc382c6e6b9d6ac7b780affef29e95',1,'perturbs']]], - ['has_5fsource_5ftheta_5fscf',['has_source_theta_scf',['../perturbations_8h.html#acfb91ecfbe6dafb7458fbd04d5a79df0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fur',['has_source_theta_ur',['../perturbations_8h.html#a3723f0c782ffe5035d3bc7291468bfba',1,'perturbs']]], - ['has_5ftd',['has_td',['../lensing_8h.html#a02347a6282806a07febdf60beeaf3867',1,'lensing::has_td()'],['../spectra_8h.html#af219b311ac4022c97f497bdfe892a5bb',1,'spectra::has_td()']]], - ['has_5fte',['has_te',['../lensing_8h.html#a07010b7121450b62d4d5831306524d55',1,'lensing::has_te()'],['../spectra_8h.html#ab904a91528ca41610646429d986a8801',1,'spectra::has_te()']]], - ['has_5ftensors',['has_tensors',['../perturbations_8h.html#a7a82f6ff4026b7ffae9ba1b982824d0a',1,'perturbs']]], - ['has_5ftl',['has_tl',['../lensing_8h.html#a8fb9290e3e7fc434f1dd8280ff26b940',1,'lensing::has_tl()'],['../spectra_8h.html#a6de97e5e3d3949212fb99b6fb1b944f0',1,'spectra::has_tl()']]], - ['has_5ftp',['has_tp',['../lensing_8h.html#ab36938c722105e517f0e7b54d188cd0b',1,'lensing::has_tp()'],['../spectra_8h.html#a7edbc0f9007b4114cedb0db21dd77fee',1,'spectra::has_tp()']]], - ['has_5ftt',['has_tt',['../lensing_8h.html#a0dc88f938ae752059a638ad83a351987',1,'lensing::has_tt()'],['../spectra_8h.html#a2a2bb15ccf3b757b45240163ab803c7c',1,'spectra::has_tt()']]], - ['has_5fur',['has_ur',['../background_8h.html#a8117c138bbf5229a82a75e7050bbbcb6',1,'background']]], - ['has_5fvectors',['has_vectors',['../perturbations_8h.html#ad0fe110b40dede9e160b80414ab8f036',1,'perturbs']]], - ['has_5fvelocity_5ftransfers',['has_velocity_transfers',['../perturbations_8h.html#ad5bbee359d1ac8e84472727dfb292ca8',1,'perturbs']]], - ['helium_5ffullreio_5fredshift',['helium_fullreio_redshift',['../thermodynamics_8h.html#a4b0d41186002feda14910e2b70948c22',1,'thermo']]], - ['helium_5ffullreio_5fwidth',['helium_fullreio_width',['../thermodynamics_8h.html#a8f3047a7ce30970e752971bb4786ed57',1,'thermo']]], - ['his',['HIS',['../transfer_8h.html#aa81c012b8c0040001cedd2240dcf03be',1,'transfer_workspace']]], - ['his_5fallocated',['HIS_allocated',['../transfer_8h.html#aa82073c726b255bc6d85aa2ed7e59b2f',1,'transfer_workspace']]], - ['hyper_5fflat_5fapproximation_5fnu',['hyper_flat_approximation_nu',['../common_8h.html#a2c3a1bd14bb08d08f5dbbd9b098a5d7c',1,'precision']]], - ['hyper_5fnu_5fsampling_5fstep',['hyper_nu_sampling_step',['../common_8h.html#add96752739b131bd7f329e61ca1eb801',1,'precision']]], - ['hyper_5fphi_5fmin_5fabs',['hyper_phi_min_abs',['../common_8h.html#a4cc34c4de7bf45fc14eb899b98194f87',1,'precision']]], - ['hyper_5fsampling_5fcurved_5fhigh_5fnu',['hyper_sampling_curved_high_nu',['../common_8h.html#a189424c601a1aa57d416c2521d97d28e',1,'precision']]], - ['hyper_5fsampling_5fcurved_5flow_5fnu',['hyper_sampling_curved_low_nu',['../common_8h.html#a1f1cefc01fe7577c13fa29ff72fd7f33',1,'precision']]], - ['hyper_5fsampling_5fflat',['hyper_sampling_flat',['../common_8h.html#a341a7c9f5eae2a34e5b7cdce7b7f7cd4',1,'precision']]], - ['hyper_5fx_5fmin',['hyper_x_min',['../common_8h.html#afff52b2c2abfeb40dae00d962673863c',1,'precision']]], - ['hyper_5fx_5ftol',['hyper_x_tol',['../common_8h.html#ae5cb43b403222a7893e92f41289b8682',1,'precision']]] -]; diff --git a/doc/manual/html/search/all_9.html b/doc/manual/html/search/all_9.html deleted file mode 100644 index f8abbbe5..00000000 --- a/doc/manual/html/search/all_9.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_9.js b/doc/manual/html/search/all_9.js deleted file mode 100644 index fde0f163..00000000 --- a/doc/manual/html/search/all_9.js +++ /dev/null @@ -1,285 +0,0 @@ -var searchData= -[ - ['ic_5fic_5fsize',['ic_ic_size',['../primordial_8h.html#a07491e43f7d49a482b4933bbcc5ab863',1,'primordial::ic_ic_size()'],['../spectra_8h.html#a8e47432eaaa855acf8fa4b8c69839946',1,'spectra::ic_ic_size()']]], - ['ic_5fsize',['ic_size',['../perturbations_8h.html#a9f1f66e82459aec9e7cbba63e2f80dca',1,'perturbs::ic_size()'],['../primordial_8h.html#aafdffaddd6bf88e0ab20ff1cd7c98ada',1,'primordial::ic_size()'],['../spectra_8h.html#a04fcaac0b981bae0578a589d7286a6a9',1,'spectra::ic_size()']]], - ['in_5fbg_5fsize',['in_bg_size',['../primordial_8h.html#a77c9ecf27ef37e9b6076a04ba773122c',1,'primordial']]], - ['in_5fsize',['in_size',['../primordial_8h.html#a18b8d9da6a18ca2a7b0ad2270be60d68',1,'primordial']]], - ['index_5fap_5fncdmfa',['index_ap_ncdmfa',['../perturbations_8h.html#a78eb21d11cdb29b5c2015fdaa6da16d7',1,'perturb_workspace']]], - ['index_5fap_5frsa',['index_ap_rsa',['../perturbations_8h.html#a92d79a0a551fd1771a89970e4bee87e5',1,'perturb_workspace']]], - ['index_5fap_5ftca',['index_ap_tca',['../perturbations_8h.html#a280d268cf43e9d220d3998461b60db18',1,'perturb_workspace']]], - ['index_5fap_5fufa',['index_ap_ufa',['../perturbations_8h.html#a18dae1f9da2c3bf3d5922e4cf0687c2f',1,'perturb_workspace']]], - ['index_5fbg_5fa',['index_bg_a',['../background_8h.html#a593a3f0c2f0115b8e6bd8dcce4f9c124',1,'background']]], - ['index_5fbg_5fang_5fdistance',['index_bg_ang_distance',['../background_8h.html#ae87937fbee956b5f723f1f4128805b87',1,'background']]], - ['index_5fbg_5fconf_5fdistance',['index_bg_conf_distance',['../background_8h.html#a1cd4697edfdaf27a545e8a10df000b84',1,'background']]], - ['index_5fbg_5fd',['index_bg_D',['../background_8h.html#a3470694d0cc6fdd65b8ee3779e82a7de',1,'background']]], - ['index_5fbg_5fddv_5fscf',['index_bg_ddV_scf',['../background_8h.html#afe0c7d22dfab02ef5352a31a2a3a2ce5',1,'background']]], - ['index_5fbg_5fdv_5fscf',['index_bg_dV_scf',['../background_8h.html#ad61281e0d8ab2cbbda08bad2a245d33c',1,'background']]], - ['index_5fbg_5ff',['index_bg_f',['../background_8h.html#ae5229379ae0fbef095037f4b41b84ebb',1,'background']]], - ['index_5fbg_5fh',['index_bg_H',['../background_8h.html#a5795fdaf5c2549ce387db6e6e34cac1f',1,'background']]], - ['index_5fbg_5fh_5fprime',['index_bg_H_prime',['../background_8h.html#ac57789197f9f7eadbc81d73108bbadeb',1,'background']]], - ['index_5fbg_5flum_5fdistance',['index_bg_lum_distance',['../background_8h.html#ae2e0c57155c34687bd86cb85a05dcbef',1,'background']]], - ['index_5fbg_5fomega_5fm',['index_bg_Omega_m',['../background_8h.html#ae47d2c68eacf8948db4ee45f0ae34aef',1,'background']]], - ['index_5fbg_5fomega_5fr',['index_bg_Omega_r',['../background_8h.html#a10a925400b473297ae9e8b1f37ea461a',1,'background']]], - ['index_5fbg_5fp_5fncdm1',['index_bg_p_ncdm1',['../background_8h.html#a1c91022c26391cf130030b36755a964f',1,'background']]], - ['index_5fbg_5fp_5fscf',['index_bg_p_scf',['../background_8h.html#af2f38dc9fe1b4e69c9f06034ee894ef0',1,'background']]], - ['index_5fbg_5fphi_5fprime_5fscf',['index_bg_phi_prime_scf',['../background_8h.html#a04237a12fb35d488496706148a4921a5',1,'background']]], - ['index_5fbg_5fphi_5fscf',['index_bg_phi_scf',['../background_8h.html#a97cf6a8c0b0a7601947b8cd9638122a1',1,'background']]], - ['index_5fbg_5fpseudo_5fp_5fncdm1',['index_bg_pseudo_p_ncdm1',['../background_8h.html#ad6df08a252026b6514cba9aae2b2c698',1,'background']]], - ['index_5fbg_5frho_5fb',['index_bg_rho_b',['../background_8h.html#a09c4edd6c3c211b3d857d23a05687111',1,'background']]], - ['index_5fbg_5frho_5fcdm',['index_bg_rho_cdm',['../background_8h.html#ac1e98d23829d9b6f1eab33fb4b29ca8d',1,'background']]], - ['index_5fbg_5frho_5fcrit',['index_bg_rho_crit',['../background_8h.html#a463ac213d2e440f9118ba07dfd3824ec',1,'background']]], - ['index_5fbg_5frho_5fdcdm',['index_bg_rho_dcdm',['../background_8h.html#afe423543b65814cbc80f4d20011e705e',1,'background']]], - ['index_5fbg_5frho_5fdr',['index_bg_rho_dr',['../background_8h.html#ae22a92f574ae53ef72e420ad9e603db3',1,'background']]], - ['index_5fbg_5frho_5ffld',['index_bg_rho_fld',['../background_8h.html#acb3cc80f1ce74073316b89f5e578add8',1,'background']]], - ['index_5fbg_5frho_5fg',['index_bg_rho_g',['../background_8h.html#ae8e15dc91ec567f4e910ea903f643614',1,'background']]], - ['index_5fbg_5frho_5flambda',['index_bg_rho_lambda',['../background_8h.html#a636f3702f62a1c750f86235a3e79170b',1,'background']]], - ['index_5fbg_5frho_5fncdm1',['index_bg_rho_ncdm1',['../background_8h.html#acc7706223e8fceafc067f1a9236c13d6',1,'background']]], - ['index_5fbg_5frho_5fscf',['index_bg_rho_scf',['../background_8h.html#a984adc2397c5b4ac589138a82ffc747f',1,'background']]], - ['index_5fbg_5frho_5fur',['index_bg_rho_ur',['../background_8h.html#a62951157a480d01724066a4da30d7349',1,'background']]], - ['index_5fbg_5frs',['index_bg_rs',['../background_8h.html#a378cad9f38f57409b3d74644058c73b9',1,'background']]], - ['index_5fbg_5ftime',['index_bg_time',['../background_8h.html#af410bf7812e2ae6ddaa079cda7c651e5',1,'background']]], - ['index_5fbg_5fv_5fscf',['index_bg_V_scf',['../background_8h.html#a8b1950c9963389d233e8c5c2bd334253',1,'background']]], - ['index_5fbg_5fw_5ffld',['index_bg_w_fld',['../background_8h.html#a20facea823bf59d21ed4ea8f032d60b0',1,'background']]], - ['index_5fbi_5fa',['index_bi_a',['../background_8h.html#a671c3e493d495a09ad84cf711f768319',1,'background']]], - ['index_5fbi_5fd',['index_bi_D',['../background_8h.html#a7a77fcef21713f98f673adfbca8626ab',1,'background']]], - ['index_5fbi_5fd_5fprime',['index_bi_D_prime',['../background_8h.html#a77d7f46ffcd47060d8405269da53323e',1,'background']]], - ['index_5fbi_5fphi_5fprime_5fscf',['index_bi_phi_prime_scf',['../background_8h.html#a0a84b0e9c235a84797ff7aadccb503c7',1,'background']]], - ['index_5fbi_5fphi_5fscf',['index_bi_phi_scf',['../background_8h.html#a80e59fe1ab510c77237bf8af5d4d7503',1,'background']]], - ['index_5fbi_5frho_5fdcdm',['index_bi_rho_dcdm',['../background_8h.html#a1f0b07c67119bfe37a6f0fe1736d05eb',1,'background']]], - ['index_5fbi_5frho_5fdr',['index_bi_rho_dr',['../background_8h.html#a38e5634e610152ae8a8dc17833a1df18',1,'background']]], - ['index_5fbi_5frho_5ffld',['index_bi_rho_fld',['../background_8h.html#aa782576001653604be0f3e5d0beeb60d',1,'background']]], - ['index_5fbi_5frs',['index_bi_rs',['../background_8h.html#aa1e98bc1d8a00d66d49b65661bf0e573',1,'background']]], - ['index_5fbi_5ftau',['index_bi_tau',['../background_8h.html#a6783cf535f070212a6a392c581bb863b',1,'background']]], - ['index_5fbi_5ftime',['index_bi_time',['../background_8h.html#a9c0a391c023f5e1eb67dd928b2a699a3',1,'background']]], - ['index_5fct_5fbb',['index_ct_bb',['../spectra_8h.html#a91f38cb182b179501e2883e887d8313c',1,'spectra']]], - ['index_5fct_5fdd',['index_ct_dd',['../spectra_8h.html#a751ded2cebb892fbfff4bc7047cd2ea2',1,'spectra']]], - ['index_5fct_5fdl',['index_ct_dl',['../spectra_8h.html#a75c775132532bded47ce1ca6bdd10638',1,'spectra']]], - ['index_5fct_5fee',['index_ct_ee',['../spectra_8h.html#aad1923de8e05ad8815149eb5e1c41722',1,'spectra']]], - ['index_5fct_5fep',['index_ct_ep',['../spectra_8h.html#a50dcb624d60d0cc2f3a9717331380067',1,'spectra']]], - ['index_5fct_5fll',['index_ct_ll',['../spectra_8h.html#aa399283446043b9560df20f419e09555',1,'spectra']]], - ['index_5fct_5fpd',['index_ct_pd',['../spectra_8h.html#ad4d6dd84ede70607ae84673a69fe06ef',1,'spectra']]], - ['index_5fct_5fpp',['index_ct_pp',['../spectra_8h.html#a2924e0891623e332b76561e1e206a6b4',1,'spectra']]], - ['index_5fct_5ftd',['index_ct_td',['../spectra_8h.html#a580bc800704dde768830741cecdb7c17',1,'spectra']]], - ['index_5fct_5fte',['index_ct_te',['../spectra_8h.html#a7ee0a2f4abb312842c2d4e41d41ed451',1,'spectra']]], - ['index_5fct_5ftl',['index_ct_tl',['../spectra_8h.html#ad872e01a0e62577a346cd3ad10745bfb',1,'spectra']]], - ['index_5fct_5ftp',['index_ct_tp',['../spectra_8h.html#a762b191d61c440cbab702481db01c939',1,'spectra']]], - ['index_5fct_5ftt',['index_ct_tt',['../spectra_8h.html#a4160542d7473d58a6bb0a170661d4b36',1,'spectra']]], - ['index_5fhelium_5ffullreio_5ffraction',['index_helium_fullreio_fraction',['../thermodynamics_8h.html#a0ac53466d05be75908b9d2fb604cafeb',1,'reionization']]], - ['index_5fhelium_5ffullreio_5fredshift',['index_helium_fullreio_redshift',['../thermodynamics_8h.html#a2e3bfbcd86b070e7ed8bfc206d4caa66',1,'reionization']]], - ['index_5fhelium_5ffullreio_5fwidth',['index_helium_fullreio_width',['../thermodynamics_8h.html#ae8a43e7dc408dc75d9326f17ee47f7de',1,'reionization']]], - ['index_5fic',['index_ic',['../perturbations_8h.html#a7178258a45506d84676c9a5b3aca789b',1,'perturb_parameters_and_workspace']]], - ['index_5fic_5fad',['index_ic_ad',['../perturbations_8h.html#a17d9ef49c94d978612bfe815218d4f44',1,'perturbs']]], - ['index_5fic_5fbi',['index_ic_bi',['../perturbations_8h.html#a8623cf4d1ce03a7239582caab0d21a37',1,'perturbs']]], - ['index_5fic_5fcdi',['index_ic_cdi',['../perturbations_8h.html#a5736784d0ec9639c02085acea8fb748c',1,'perturbs']]], - ['index_5fic_5fnid',['index_ic_nid',['../perturbations_8h.html#a6a16192fc67d2118a2d2481c6ac4bda5',1,'perturbs']]], - ['index_5fic_5fniv',['index_ic_niv',['../perturbations_8h.html#a9d40d85d9fd65bd8d949467ea8a37f43',1,'perturbs']]], - ['index_5fic_5ften',['index_ic_ten',['../perturbations_8h.html#a400534882269fef5a058590d43bdb594',1,'perturbs']]], - ['index_5fikout',['index_ikout',['../perturbations_8h.html#abb4235fd40baf5fb02e7128325102d93',1,'perturb_workspace']]], - ['index_5fin_5fa',['index_in_a',['../primordial_8h.html#a3bad57f1f09247e009931ca18f90b18b',1,'primordial']]], - ['index_5fin_5fah_5fim',['index_in_ah_im',['../primordial_8h.html#ad175238b397a4bd4aa6b3107fb997940',1,'primordial']]], - ['index_5fin_5fah_5fre',['index_in_ah_re',['../primordial_8h.html#ab78a3ce2a71acaf37d40fdd69e46c534',1,'primordial']]], - ['index_5fin_5fdah_5fim',['index_in_dah_im',['../primordial_8h.html#a83d532cbcf0325f00adf1db329f51fb3',1,'primordial']]], - ['index_5fin_5fdah_5fre',['index_in_dah_re',['../primordial_8h.html#a946f8285f62cf37e2aee687d6f93f2c4',1,'primordial']]], - ['index_5fin_5fdksi_5fim',['index_in_dksi_im',['../primordial_8h.html#a8d6a98904ab8543f72aaf620d4c74dc4',1,'primordial']]], - ['index_5fin_5fdksi_5fre',['index_in_dksi_re',['../primordial_8h.html#a32df0c3f20477101063a2623e3e7d08e',1,'primordial']]], - ['index_5fin_5fdphi',['index_in_dphi',['../primordial_8h.html#aaa52b1ee0b41c9bc458e5cd85e69ca9e',1,'primordial']]], - ['index_5fin_5fksi_5fim',['index_in_ksi_im',['../primordial_8h.html#a69c742a47764298d8583712cd0010cc0',1,'primordial']]], - ['index_5fin_5fksi_5fre',['index_in_ksi_re',['../primordial_8h.html#a2795fe40be88d791a351fba76104584c',1,'primordial']]], - ['index_5fin_5fphi',['index_in_phi',['../primordial_8h.html#a94172d7b5672c3cc3a4ffb76bea94f75',1,'primordial']]], - ['index_5fk',['index_k',['../perturbations_8h.html#a187fd102451e69edf20e7c671f46fa9a',1,'perturb_parameters_and_workspace']]], - ['index_5fk_5foutput_5fvalues',['index_k_output_values',['../perturbations_8h.html#ae00f9b481983465f4d9c648e1ad03d11',1,'perturbs']]], - ['index_5flt_5fbb',['index_lt_bb',['../lensing_8h.html#aad717db8e3fb90861386661b544566e2',1,'lensing']]], - ['index_5flt_5fdd',['index_lt_dd',['../lensing_8h.html#a23ae6d7191c915d65035ec33ad950ebe',1,'lensing']]], - ['index_5flt_5fee',['index_lt_ee',['../lensing_8h.html#a9d18f475d810e3b2cc06565f4e6e8fcc',1,'lensing']]], - ['index_5flt_5fll',['index_lt_ll',['../lensing_8h.html#a7cded4ce178f745f2186b9165d4f4c0d',1,'lensing']]], - ['index_5flt_5fpp',['index_lt_pp',['../lensing_8h.html#ad355d99091371c078d6410a2807cb046',1,'lensing']]], - ['index_5flt_5ftd',['index_lt_td',['../lensing_8h.html#a24b997d7f7d7b2d04a32d19b2aa2a52d',1,'lensing']]], - ['index_5flt_5fte',['index_lt_te',['../lensing_8h.html#a3b53da5a740368c36e797026898a0885',1,'lensing']]], - ['index_5flt_5ftl',['index_lt_tl',['../lensing_8h.html#a9f165327a081698b2b0791eb600d398e',1,'lensing']]], - ['index_5flt_5ftp',['index_lt_tp',['../lensing_8h.html#a8ab43d19ed6b15ae77dac5ad04d41648',1,'lensing']]], - ['index_5flt_5ftt',['index_lt_tt',['../lensing_8h.html#a49ee95997f34edd81965f2a6a0832b29',1,'lensing']]], - ['index_5fmd',['index_md',['../perturbations_8h.html#aef765aac8cfbd4220e429d1bd5751178',1,'perturb_parameters_and_workspace']]], - ['index_5fmd_5fscalars',['index_md_scalars',['../perturbations_8h.html#a32c10dde8e52db3d69cec5474c23ae9c',1,'perturbs::index_md_scalars()'],['../spectra_8h.html#a9e42c62fdd7493645498f58101be058b',1,'spectra::index_md_scalars()']]], - ['index_5fmd_5ftensors',['index_md_tensors',['../perturbations_8h.html#affb2ab5653ec3a5c1bd4f18829034f62',1,'perturbs']]], - ['index_5fmd_5fvectors',['index_md_vectors',['../perturbations_8h.html#acfb714cadd0c7353ee1f574c6b978f60',1,'perturbs']]], - ['index_5fmt_5falpha',['index_mt_alpha',['../perturbations_8h.html#aa103c49393b1dbb937e4a7b0f8d7cffa',1,'perturb_workspace']]], - ['index_5fmt_5falpha_5fprime',['index_mt_alpha_prime',['../perturbations_8h.html#aed8cdddd960da687b6792a55c205e9c0',1,'perturb_workspace']]], - ['index_5fmt_5feta_5fprime',['index_mt_eta_prime',['../perturbations_8h.html#a666f67b8d64977fbf65f038bd19f2d46',1,'perturb_workspace']]], - ['index_5fmt_5fgw_5fprime_5fprime',['index_mt_gw_prime_prime',['../perturbations_8h.html#a87310f6e5353ddaa5b49d46e0c736f9e',1,'perturb_workspace']]], - ['index_5fmt_5fh_5fprime',['index_mt_h_prime',['../perturbations_8h.html#a9225f59a88f96be135afa7ce4d755f87',1,'perturb_workspace']]], - ['index_5fmt_5fh_5fprime_5fprime',['index_mt_h_prime_prime',['../perturbations_8h.html#a3a7020dd7dc5fcdb878474a6cd2ea444',1,'perturb_workspace']]], - ['index_5fmt_5fhv_5fprime_5fprime',['index_mt_hv_prime_prime',['../perturbations_8h.html#a916ecd103081eb721650f1e8c663df3a',1,'perturb_workspace']]], - ['index_5fmt_5fphi_5fprime',['index_mt_phi_prime',['../perturbations_8h.html#a7bd0187d2d946e64bc133778b8084fec',1,'perturb_workspace']]], - ['index_5fmt_5fpsi',['index_mt_psi',['../perturbations_8h.html#afd5c92d56c1124dc8840a0cf6cb39ee6',1,'perturb_workspace']]], - ['index_5fmt_5fv_5fprime',['index_mt_V_prime',['../perturbations_8h.html#a92ca15273b436bda7a5da46e8418b7c3',1,'perturb_workspace']]], - ['index_5fpk_5fcb',['index_pk_cb',['../structnonlinear.html#ab71f6984b0a86b82ce4bab5d78470461',1,'nonlinear']]], - ['index_5fpk_5feq_5fomega_5fm',['index_pk_eq_Omega_m',['../structnonlinear.html#ac66d364d9298f36b1484a0a15ea4873d',1,'nonlinear']]], - ['index_5fpk_5feq_5fw',['index_pk_eq_w',['../structnonlinear.html#a5c720896659696f417d34605693c1e58',1,'nonlinear']]], - ['index_5fpk_5fm',['index_pk_m',['../structnonlinear.html#a83116d2c8e45607d4b65bc4f627195ab',1,'nonlinear']]], - ['index_5fpt_5fdelta_5fb',['index_pt_delta_b',['../perturbations_8h.html#a16fbcd88994a8cf9c7632ec1c9e4f553',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fcdm',['index_pt_delta_cdm',['../perturbations_8h.html#a2d0672d9810af281bbd57dd8e0bc45e0',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fdcdm',['index_pt_delta_dcdm',['../perturbations_8h.html#af76d96d0fff10c8d2d82db168fbb3178',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5ffld',['index_pt_delta_fld',['../perturbations_8h.html#a2ba29ae12a6e302ce402414725e33789',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fg',['index_pt_delta_g',['../perturbations_8h.html#a9fccbd67eed54ae6ba9d9b40cfa71bec',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fur',['index_pt_delta_ur',['../perturbations_8h.html#a5a0627cf3b3a1c743cac4e3264444c3a',1,'perturb_vector']]], - ['index_5fpt_5feta',['index_pt_eta',['../perturbations_8h.html#a12b3bd7ce80d457b497946a1de670541',1,'perturb_vector']]], - ['index_5fpt_5ff0_5fdr',['index_pt_F0_dr',['../perturbations_8h.html#a74e3f73cec03550a244e58d6af7e450e',1,'perturb_vector']]], - ['index_5fpt_5fgamma_5ffld',['index_pt_Gamma_fld',['../perturbations_8h.html#a1c321640393390c1a9939892074a1a90',1,'perturb_vector']]], - ['index_5fpt_5fgw',['index_pt_gw',['../perturbations_8h.html#ab2097add2b90dc15c796f3e1d0fd3444',1,'perturb_vector']]], - ['index_5fpt_5fgwdot',['index_pt_gwdot',['../perturbations_8h.html#a449e8d1b51d78fb4fd2b742c015680ac',1,'perturb_vector']]], - ['index_5fpt_5fhv_5fprime',['index_pt_hv_prime',['../perturbations_8h.html#a78ce21034b6fa10987efc528243fcc78',1,'perturb_vector']]], - ['index_5fpt_5fl3_5fg',['index_pt_l3_g',['../perturbations_8h.html#a1912c81c639e2bdbc2acae225218cfe1',1,'perturb_vector']]], - ['index_5fpt_5fl3_5fur',['index_pt_l3_ur',['../perturbations_8h.html#a4ab672f9859787035b3d215b71c79e20',1,'perturb_vector']]], - ['index_5fpt_5fperturbed_5frecombination_5fdelta_5fchi',['index_pt_perturbed_recombination_delta_chi',['../perturbations_8h.html#ad4be8bbad446bb04f8db2a23b2dec459',1,'perturb_vector']]], - ['index_5fpt_5fperturbed_5frecombination_5fdelta_5ftemp',['index_pt_perturbed_recombination_delta_temp',['../perturbations_8h.html#a04c1e6b465288d441563913845925aa5',1,'perturb_vector']]], - ['index_5fpt_5fphi',['index_pt_phi',['../perturbations_8h.html#afede46f1464b28b09cb6ab93a7aab972',1,'perturb_vector']]], - ['index_5fpt_5fphi_5fprime_5fscf',['index_pt_phi_prime_scf',['../perturbations_8h.html#a3302f70bf8b89c982fa60399e7f54114',1,'perturb_vector']]], - ['index_5fpt_5fphi_5fscf',['index_pt_phi_scf',['../perturbations_8h.html#a3ee8bc8b3b99653b7df06d7752fe946d',1,'perturb_vector']]], - ['index_5fpt_5fpol0_5fg',['index_pt_pol0_g',['../perturbations_8h.html#a6c86cc5b9952ba3e57c1dd4718b5efb4',1,'perturb_vector']]], - ['index_5fpt_5fpol1_5fg',['index_pt_pol1_g',['../perturbations_8h.html#ada9e2cf5f0295b39926a3951656aef37',1,'perturb_vector']]], - ['index_5fpt_5fpol2_5fg',['index_pt_pol2_g',['../perturbations_8h.html#a373c2c3b94de9a8cc782a09cd412e770',1,'perturb_vector']]], - ['index_5fpt_5fpol3_5fg',['index_pt_pol3_g',['../perturbations_8h.html#a15b4829ed1106821f597d88a7d11ae8f',1,'perturb_vector']]], - ['index_5fpt_5fpsi0_5fncdm1',['index_pt_psi0_ncdm1',['../perturbations_8h.html#aa3cfdd79a1b2f1c29d9f6cac9dede623',1,'perturb_vector']]], - ['index_5fpt_5fshear_5fg',['index_pt_shear_g',['../perturbations_8h.html#ac6a6cbb08e570113979bf761f2bcd2aa',1,'perturb_vector']]], - ['index_5fpt_5fshear_5fur',['index_pt_shear_ur',['../perturbations_8h.html#abad5caed26511fe4cc94451a96a1f616',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fb',['index_pt_theta_b',['../perturbations_8h.html#a2dc4c948ae128a205c6b8cc30e9e35d0',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fcdm',['index_pt_theta_cdm',['../perturbations_8h.html#ae3f3ac985682910540fba1c28e31a646',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fdcdm',['index_pt_theta_dcdm',['../perturbations_8h.html#a0e5b783604c49ed75aef9f4236dcfbc4',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5ffld',['index_pt_theta_fld',['../perturbations_8h.html#ac9a5e67be69b5f0e5e9b989955d83cc6',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fg',['index_pt_theta_g',['../perturbations_8h.html#a21bdf09185252991804b7b0fbc33f9c1',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fur',['index_pt_theta_ur',['../perturbations_8h.html#a8f7caa6398b77370356e74a206c00ba7',1,'perturb_vector']]], - ['index_5fpt_5fv',['index_pt_V',['../perturbations_8h.html#a80aa943cbbbf4c8e11ac11aea02cf8e3',1,'perturb_vector']]], - ['index_5fq_5fflat_5fapproximation',['index_q_flat_approximation',['../transfer_8h.html#abe42ba40eb07199c939aafb173cb0da3',1,'transfers']]], - ['index_5fre_5fcb2',['index_re_cb2',['../thermodynamics_8h.html#ac1021ee3aee51a9b817dc157743f439e',1,'recombination::index_re_cb2()'],['../thermodynamics_8h.html#a9c954280df1c66aa9ce310027e5f40f0',1,'reionization::index_re_cb2()']]], - ['index_5fre_5fd3kappadz3',['index_re_d3kappadz3',['../thermodynamics_8h.html#ae48e17df06ae25896d07c577b899e73a',1,'reionization']]], - ['index_5fre_5fdkappadtau',['index_re_dkappadtau',['../thermodynamics_8h.html#a736fa0d9d85df37cd263e52836a2832c',1,'recombination::index_re_dkappadtau()'],['../thermodynamics_8h.html#a31e40c647a35a19c1b897c052b851d76',1,'reionization::index_re_dkappadtau()']]], - ['index_5fre_5fdkappadz',['index_re_dkappadz',['../thermodynamics_8h.html#ae70e176cb531f8c78076df0160b4fed1',1,'reionization']]], - ['index_5fre_5ftb',['index_re_Tb',['../thermodynamics_8h.html#af6bce690db2626b95cc89bbff1e9041e',1,'recombination::index_re_Tb()'],['../thermodynamics_8h.html#a33f283d298003ee0b95cfda1860daa35',1,'reionization::index_re_Tb()']]], - ['index_5fre_5fxe',['index_re_xe',['../thermodynamics_8h.html#a95860e65cf521feaa5540737c98d6c10',1,'recombination::index_re_xe()'],['../thermodynamics_8h.html#a495ca44c6e0ef658aba9915b1c9b848f',1,'reionization::index_re_xe()']]], - ['index_5fre_5fz',['index_re_z',['../thermodynamics_8h.html#ab5ad9457e5a9a97d3925adff904e8971',1,'recombination::index_re_z()'],['../thermodynamics_8h.html#af9ee97caa4f45869edc2fbb37b678125',1,'reionization::index_re_z()']]], - ['index_5freco_5fwhen_5freio_5fstart',['index_reco_when_reio_start',['../thermodynamics_8h.html#a30f0d1b6c4446e56137d17ebe95fda72',1,'reionization']]], - ['index_5freio_5fexponent',['index_reio_exponent',['../thermodynamics_8h.html#ac9e218ca7c045aef0b22e740b10d7e21',1,'reionization']]], - ['index_5freio_5ffirst_5fxe',['index_reio_first_xe',['../thermodynamics_8h.html#a09078233ff029c56f863eda41ebe21d7',1,'reionization']]], - ['index_5freio_5ffirst_5fz',['index_reio_first_z',['../thermodynamics_8h.html#a956460dd8f305550f59a08daee633bca',1,'reionization']]], - ['index_5freio_5fredshift',['index_reio_redshift',['../thermodynamics_8h.html#a808b9b45f27f3a7769368aa2443bdcd5',1,'reionization']]], - ['index_5freio_5fstart',['index_reio_start',['../thermodynamics_8h.html#a788ce69bf56161cb1206a3dc424cd937',1,'reionization']]], - ['index_5freio_5fstep_5fsharpness',['index_reio_step_sharpness',['../thermodynamics_8h.html#a148ebf436a417705c814bf2fd4fe0811',1,'reionization']]], - ['index_5freio_5fwidth',['index_reio_width',['../thermodynamics_8h.html#aefe9593675372d78b1c101be3b07e568',1,'reionization']]], - ['index_5freio_5fxe_5fafter',['index_reio_xe_after',['../thermodynamics_8h.html#a74df9fdfa77a7b44848d3b55b759943e',1,'reionization']]], - ['index_5freio_5fxe_5fbefore',['index_reio_xe_before',['../thermodynamics_8h.html#ad8b561135f954387adbbf151f66730ac',1,'reionization']]], - ['index_5ftau_5fmin_5fnl',['index_tau_min_nl',['../structnonlinear.html#a7820721d8a03b7a23525c9f2ffc64ea0',1,'nonlinear']]], - ['index_5fth_5fcb2',['index_th_cb2',['../thermodynamics_8h.html#ab46df5f21130eeee5285e67c4622ad95',1,'thermo']]], - ['index_5fth_5fdcb2',['index_th_dcb2',['../thermodynamics_8h.html#a88ec417317b2b67874267a57dc9d6e1f',1,'thermo']]], - ['index_5fth_5fddcb2',['index_th_ddcb2',['../thermodynamics_8h.html#af2235ab4044aead8661b93e444100a62',1,'thermo']]], - ['index_5fth_5fdddkappa',['index_th_dddkappa',['../thermodynamics_8h.html#ab22f97968c1478527c2b1472b257f0a8',1,'thermo']]], - ['index_5fth_5fddg',['index_th_ddg',['../thermodynamics_8h.html#a8d37919b3cee46dc444edb84d8b7b7fc',1,'thermo']]], - ['index_5fth_5fddkappa',['index_th_ddkappa',['../thermodynamics_8h.html#abc3d795a1a457805e1f2a3902a6078bb',1,'thermo']]], - ['index_5fth_5fdg',['index_th_dg',['../thermodynamics_8h.html#aa5ba947ab5a6728b9503f23b3db3c647',1,'thermo']]], - ['index_5fth_5fdkappa',['index_th_dkappa',['../thermodynamics_8h.html#aea1ea1f3e5c0c64eee3d527b6663e9d5',1,'thermo']]], - ['index_5fth_5fexp_5fm_5fkappa',['index_th_exp_m_kappa',['../thermodynamics_8h.html#ae95f57e24cdaf670e96f68f65bc614b4',1,'thermo']]], - ['index_5fth_5fg',['index_th_g',['../thermodynamics_8h.html#a21416a8b787d8018a8aa8731e8614af8',1,'thermo']]], - ['index_5fth_5fr_5fd',['index_th_r_d',['../thermodynamics_8h.html#adaead8e8bf4fda93eb3b22b02741cc53',1,'thermo']]], - ['index_5fth_5frate',['index_th_rate',['../thermodynamics_8h.html#a039139b2d4e0699b2053236b26b85362',1,'thermo']]], - ['index_5fth_5ftau_5fd',['index_th_tau_d',['../thermodynamics_8h.html#a35e688c8d2c87b79aafbcdae01cef507',1,'thermo']]], - ['index_5fth_5ftb',['index_th_Tb',['../thermodynamics_8h.html#a8a5e3cc09ec655767702c0ddc01b51c6',1,'thermo']]], - ['index_5fth_5fxe',['index_th_xe',['../thermodynamics_8h.html#aba1579aad519a4b990438d8a15670b40',1,'thermo']]], - ['index_5ftp_5fdelta_5fb',['index_tp_delta_b',['../perturbations_8h.html#a2e9886cc801817d3bac3756c9dff2956',1,'perturbs']]], - ['index_5ftp_5fdelta_5fcb',['index_tp_delta_cb',['../perturbations_8h.html#ad38f547552787d04ac4900ecaf4cea49',1,'perturbs']]], - ['index_5ftp_5fdelta_5fcdm',['index_tp_delta_cdm',['../perturbations_8h.html#a390364744a1825a6b09960cb30d222d4',1,'perturbs']]], - ['index_5ftp_5fdelta_5fdcdm',['index_tp_delta_dcdm',['../perturbations_8h.html#a58a017ada7b24e71360614a95ec12596',1,'perturbs']]], - ['index_5ftp_5fdelta_5fdr',['index_tp_delta_dr',['../perturbations_8h.html#a8c907df1d7189d3bc93106fdf8422f61',1,'perturbs']]], - ['index_5ftp_5fdelta_5ffld',['index_tp_delta_fld',['../perturbations_8h.html#a924d7a53f6216d0482936475b910c1f5',1,'perturbs']]], - ['index_5ftp_5fdelta_5fg',['index_tp_delta_g',['../perturbations_8h.html#ac80f779218baec8dc92d98d4c5cf6972',1,'perturbs']]], - ['index_5ftp_5fdelta_5fm',['index_tp_delta_m',['../perturbations_8h.html#adbbf153660c784306f5fa3af92d17e33',1,'perturbs']]], - ['index_5ftp_5fdelta_5fncdm1',['index_tp_delta_ncdm1',['../perturbations_8h.html#a96eaf8b998b28740a0ea476112be7d86',1,'perturbs']]], - ['index_5ftp_5fdelta_5fscf',['index_tp_delta_scf',['../perturbations_8h.html#a0f4addf27747d9cbc0e90ad1e0bb061c',1,'perturbs']]], - ['index_5ftp_5fdelta_5fur',['index_tp_delta_ur',['../perturbations_8h.html#afd6370787dbee9f6919da39be926cc10',1,'perturbs']]], - ['index_5ftp_5feta',['index_tp_eta',['../perturbations_8h.html#a9a310b516dfff671a0360a1131aa73ee',1,'perturbs']]], - ['index_5ftp_5feta_5fprime',['index_tp_eta_prime',['../perturbations_8h.html#ae75a3948e5a454efebbbf71763e10ce4',1,'perturbs']]], - ['index_5ftp_5fh',['index_tp_h',['../perturbations_8h.html#a5bc0966909b26088dc11c9c7ba6bee50',1,'perturbs']]], - ['index_5ftp_5fh_5fprime',['index_tp_h_prime',['../perturbations_8h.html#a4e5aa7c5efdfa9c3e0ba3ebb0f1a6cc8',1,'perturbs']]], - ['index_5ftp_5fp',['index_tp_p',['../perturbations_8h.html#a43d325743be535b467e03ff4d9ea4c28',1,'perturbs']]], - ['index_5ftp_5fperturbed_5frecombination_5fdelta_5fchi',['index_tp_perturbed_recombination_delta_chi',['../perturbations_8h.html#a9636c896c5a6691587e3bd2ebd505974',1,'perturbs']]], - ['index_5ftp_5fperturbed_5frecombination_5fdelta_5ftemp',['index_tp_perturbed_recombination_delta_temp',['../perturbations_8h.html#a715e0afeecf2fa221d2a8a650f12b1e5',1,'perturbs']]], - ['index_5ftp_5fphi',['index_tp_phi',['../perturbations_8h.html#a71ea87a37f3b09e2d28aba67a5e66585',1,'perturbs']]], - ['index_5ftp_5fphi_5fplus_5fpsi',['index_tp_phi_plus_psi',['../perturbations_8h.html#a82d9516eadb38b898d7e9730c6960347',1,'perturbs']]], - ['index_5ftp_5fphi_5fprime',['index_tp_phi_prime',['../perturbations_8h.html#a9a73df8c478505e6d75f997983cf0d4b',1,'perturbs']]], - ['index_5ftp_5fpsi',['index_tp_psi',['../perturbations_8h.html#ab3575e2b7daeb42dda99cd0e4e6c3a2f',1,'perturbs']]], - ['index_5ftp_5ft0',['index_tp_t0',['../perturbations_8h.html#a8d6dc81e807a29b225351e78fe3b8fb8',1,'perturbs']]], - ['index_5ftp_5ft1',['index_tp_t1',['../perturbations_8h.html#a864700a9a436ac557480a50fd892bf09',1,'perturbs']]], - ['index_5ftp_5ft2',['index_tp_t2',['../perturbations_8h.html#ac3a019d980669a3707024d0bab0bbe08',1,'perturbs']]], - ['index_5ftp_5ftheta_5fb',['index_tp_theta_b',['../perturbations_8h.html#a00a3cdc4ff74fc45589f28b508c382a0',1,'perturbs']]], - ['index_5ftp_5ftheta_5fcb',['index_tp_theta_cb',['../perturbations_8h.html#a4d2106453b72063fbaeef41597027253',1,'perturbs']]], - ['index_5ftp_5ftheta_5fcdm',['index_tp_theta_cdm',['../perturbations_8h.html#aef71b1e3db72baf6c73dcb469d70453a',1,'perturbs']]], - ['index_5ftp_5ftheta_5fdcdm',['index_tp_theta_dcdm',['../perturbations_8h.html#aa617e2c18e69ad242f06294ecbb06e07',1,'perturbs']]], - ['index_5ftp_5ftheta_5fdr',['index_tp_theta_dr',['../perturbations_8h.html#a14e96255c89bc37a4e7e28ef49abbad5',1,'perturbs']]], - ['index_5ftp_5ftheta_5ffld',['index_tp_theta_fld',['../perturbations_8h.html#a4490babdc0c840cbd63f26f04bafa85a',1,'perturbs']]], - ['index_5ftp_5ftheta_5fg',['index_tp_theta_g',['../perturbations_8h.html#a2615c76bb30b34641da17d74d52bf3b4',1,'perturbs']]], - ['index_5ftp_5ftheta_5fm',['index_tp_theta_m',['../perturbations_8h.html#a1dd3e727356402d4baf9f3abc20c86ea',1,'perturbs']]], - ['index_5ftp_5ftheta_5fncdm1',['index_tp_theta_ncdm1',['../perturbations_8h.html#ae6d1d898b091264a89215ec5a5411a70',1,'perturbs']]], - ['index_5ftp_5ftheta_5fscf',['index_tp_theta_scf',['../perturbations_8h.html#a68cb6482805e9a870d46f9db5056f8d3',1,'perturbs']]], - ['index_5ftp_5ftheta_5fur',['index_tp_theta_ur',['../perturbations_8h.html#a4fc5cc46eb27ad74118486f352742829',1,'perturbs']]], - ['index_5ftr_5fdelta_5fb',['index_tr_delta_b',['../spectra_8h.html#a97577b7e46e9a9e03cdc063bc7dd3e3a',1,'spectra']]], - ['index_5ftr_5fdelta_5fcdm',['index_tr_delta_cdm',['../spectra_8h.html#a46514e00517bd409596a2c50617aed35',1,'spectra']]], - ['index_5ftr_5fdelta_5fdcdm',['index_tr_delta_dcdm',['../spectra_8h.html#a613cb218a38f6bfb45b4532a4beefad9',1,'spectra']]], - ['index_5ftr_5fdelta_5fdr',['index_tr_delta_dr',['../spectra_8h.html#ac51f80c850a0af1353d09d7eae5b156c',1,'spectra']]], - ['index_5ftr_5fdelta_5ffld',['index_tr_delta_fld',['../spectra_8h.html#a7c8e3e44348d2bd690dbea7de30d0242',1,'spectra']]], - ['index_5ftr_5fdelta_5fg',['index_tr_delta_g',['../spectra_8h.html#ada527499c8c57e4f3f03ce677c215677',1,'spectra']]], - ['index_5ftr_5fdelta_5fncdm1',['index_tr_delta_ncdm1',['../spectra_8h.html#ad1c8f5dcba56e8a7f5752a0dd1c49876',1,'spectra']]], - ['index_5ftr_5fdelta_5fscf',['index_tr_delta_scf',['../spectra_8h.html#a5de2fbacfddb3343acf34786da2383af',1,'spectra']]], - ['index_5ftr_5fdelta_5ftot',['index_tr_delta_tot',['../spectra_8h.html#a0c534b60400e5ee5b12bd31b59557bfd',1,'spectra']]], - ['index_5ftr_5fdelta_5fur',['index_tr_delta_ur',['../spectra_8h.html#a381c450d391f1c494f68c5806135d0f4',1,'spectra']]], - ['index_5ftr_5feta',['index_tr_eta',['../spectra_8h.html#ae6f46c9f310c2f0850bb8df1a9098a0f',1,'spectra']]], - ['index_5ftr_5feta_5fprime',['index_tr_eta_prime',['../spectra_8h.html#ac5c7dce0fe26c8fc02b3470e5b1c1869',1,'spectra']]], - ['index_5ftr_5fh',['index_tr_h',['../spectra_8h.html#a6081cde29dd45b2c48e36f24897a1562',1,'spectra']]], - ['index_5ftr_5fh_5fprime',['index_tr_h_prime',['../spectra_8h.html#a14a2c54fa5966f8496bba128d22bba77',1,'spectra']]], - ['index_5ftr_5fphi',['index_tr_phi',['../spectra_8h.html#a1783b7039f69ad5a28a394fc6a8ec949',1,'spectra']]], - ['index_5ftr_5fphi_5fprime',['index_tr_phi_prime',['../spectra_8h.html#a841f5d8847a2734081565d1a05528cdc',1,'spectra']]], - ['index_5ftr_5fpsi',['index_tr_psi',['../spectra_8h.html#a46b43ca978e6dd81d25fbcd90cc0ad39',1,'spectra']]], - ['index_5ftr_5ftheta_5fb',['index_tr_theta_b',['../spectra_8h.html#a28d055cef73a30afb742bb18dfcf3802',1,'spectra']]], - ['index_5ftr_5ftheta_5fcdm',['index_tr_theta_cdm',['../spectra_8h.html#ab10458250dcbda87fda2a439f5868b5e',1,'spectra']]], - ['index_5ftr_5ftheta_5fdcdm',['index_tr_theta_dcdm',['../spectra_8h.html#ad8766ae4ec0027c881088b7aafa5c867',1,'spectra']]], - ['index_5ftr_5ftheta_5fdr',['index_tr_theta_dr',['../spectra_8h.html#a1226414958631d92602ba731b1838309',1,'spectra']]], - ['index_5ftr_5ftheta_5ffld',['index_tr_theta_fld',['../spectra_8h.html#ad1b97d92cbc190ccbf79f09e890b19e1',1,'spectra']]], - ['index_5ftr_5ftheta_5fg',['index_tr_theta_g',['../spectra_8h.html#a8e4c29b785dbc0c5c89fdc61fff647b2',1,'spectra']]], - ['index_5ftr_5ftheta_5fncdm1',['index_tr_theta_ncdm1',['../spectra_8h.html#aa608e9840f63f33ad426ccb61a988965',1,'spectra']]], - ['index_5ftr_5ftheta_5fscf',['index_tr_theta_scf',['../spectra_8h.html#a6bf91ee144fcebf9e6f7c24f3275c072',1,'spectra']]], - ['index_5ftr_5ftheta_5ftot',['index_tr_theta_tot',['../spectra_8h.html#a1072e1cc5ec0bb055a144eb2db74984e',1,'spectra']]], - ['index_5ftr_5ftheta_5fur',['index_tr_theta_ur',['../spectra_8h.html#a68edc610171f4f21a45117efc0b4139a',1,'spectra']]], - ['index_5ftt_5fb',['index_tt_b',['../transfer_8h.html#a82a1d94ef6b6cbe00354cf304f2d1d32',1,'transfers']]], - ['index_5ftt_5fd0',['index_tt_d0',['../transfer_8h.html#a8719ee8f1faf31461af8b576c61fce1b',1,'transfers']]], - ['index_5ftt_5fd1',['index_tt_d1',['../transfer_8h.html#a1530d7a84b7d6084ed4ddcd43d78ac45',1,'transfers']]], - ['index_5ftt_5fdensity',['index_tt_density',['../transfer_8h.html#aa413c9cefbd2d69d011137e96f63856e',1,'transfers']]], - ['index_5ftt_5fe',['index_tt_e',['../transfer_8h.html#a94f7cbc04ea096cdb56a6133d11080be',1,'transfers']]], - ['index_5ftt_5flcmb',['index_tt_lcmb',['../transfer_8h.html#a0be3e4b5fcca0a20dcc34ed0203a883e',1,'transfers']]], - ['index_5ftt_5flensing',['index_tt_lensing',['../transfer_8h.html#aa016c0480d791288cd3e2ff053611461',1,'transfers']]], - ['index_5ftt_5fnc_5fg1',['index_tt_nc_g1',['../transfer_8h.html#a5eab0bab2cc9f40c1a5a5c864412fd59',1,'transfers']]], - ['index_5ftt_5fnc_5fg2',['index_tt_nc_g2',['../transfer_8h.html#a14f418bd2a1c01cde6d7b32dab8b3902',1,'transfers']]], - ['index_5ftt_5fnc_5fg3',['index_tt_nc_g3',['../transfer_8h.html#aef72fdad8da8bc361c9e2bed5952745e',1,'transfers']]], - ['index_5ftt_5fnc_5fg4',['index_tt_nc_g4',['../transfer_8h.html#ae02d495059914dddb81954fa1fac1bf3',1,'transfers']]], - ['index_5ftt_5fnc_5fg5',['index_tt_nc_g5',['../transfer_8h.html#a39dc383033082ee7a2c34f34a56c011f',1,'transfers']]], - ['index_5ftt_5fnc_5flens',['index_tt_nc_lens',['../transfer_8h.html#a5f982c59c781971c1d527c2bef3f338c',1,'transfers']]], - ['index_5ftt_5frsd',['index_tt_rsd',['../transfer_8h.html#ac7d19621ec7f258ec02d18f6a9be04b0',1,'transfers']]], - ['index_5ftt_5ft0',['index_tt_t0',['../transfer_8h.html#ae76221d1ecb49a5301442a5f1e645fc8',1,'transfers']]], - ['index_5ftt_5ft1',['index_tt_t1',['../transfer_8h.html#a38951c39518476293faac7ba5b8e9cbc',1,'transfers']]], - ['index_5ftt_5ft2',['index_tt_t2',['../transfer_8h.html#aedff0d133dc3978314794d69b000334c',1,'transfers']]], - ['inflation_5fmodule_5fbehavior',['inflation_module_behavior',['../primordial_8h.html#a7ff77630e0e043c10aaf1dafaffdf800',1,'primordial.h']]], - ['initialise_5fhis_5fcache',['initialise_HIS_cache',['../transfer_8h.html#a376c57dad5375aa4b9fbb6d7455b886e',1,'transfers']]], - ['input_2ec',['input.c',['../input_8c.html',1,'']]], - ['input_2eh',['input.h',['../input_8h.html',1,'']]], - ['input_5fdefault_5fparams',['input_default_params',['../input_8c.html#a86c37a81b14461fcee64801b0bddbc32',1,'input.c']]], - ['input_5fdefault_5fprecision',['input_default_precision',['../input_8c.html#a4dea17257dd6912bde8032e322184e6f',1,'input.c']]], - ['input_5ffind_5froot',['input_find_root',['../input_8c.html#aee772d452d6a10313e151ffc9d4db8c5',1,'input.c']]], - ['input_5fget_5fguess',['input_get_guess',['../input_8c.html#a5faf7f188b4f34fd45b34e3eec302d12',1,'input.c']]], - ['input_5finit',['input_init',['../input_8c.html#a31052a91cf14f73d6f2bb0e7874429fb',1,'input.c']]], - ['input_5finit_5ffrom_5farguments',['input_init_from_arguments',['../input_8c.html#a40aecd22732b07db752cb4bc34e55ad4',1,'input.c']]], - ['input_5fprepare_5fpk_5feq',['input_prepare_pk_eq',['../input_8c.html#a978f28690f3030ff6b5f2f5f15310d03',1,'input.c']]], - ['input_5fread_5fparameters',['input_read_parameters',['../input_8c.html#a2ca13f55e0c5117997d052118a3395ae',1,'input.c']]], - ['input_5ftry_5funknown_5fparameters',['input_try_unknown_parameters',['../input_8c.html#a8902799b68422227ff6a3293ebd6bd94',1,'input.c']]], - ['integration_5fdirection',['integration_direction',['../primordial_8h.html#afcc5265c16ef7281cb64ff3deb734c2f',1,'primordial.h']]], - ['inter_5fcloseby',['inter_closeby',['../background_8h.html#aed6bd9f48d0ba8fb2cee9f4163584cc2',1,'background::inter_closeby()'],['../thermodynamics_8h.html#a3f57253d7adad511cae405ae0fd9cae1',1,'thermo::inter_closeby()']]], - ['inter_5fmode',['inter_mode',['../perturbations_8h.html#aaba43ee6c3ca3b5166b6b822979c744d',1,'perturb_workspace']]], - ['inter_5fnormal',['inter_normal',['../background_8h.html#a083d789cd5c93095f3a822989b68f838',1,'background::inter_normal()'],['../thermodynamics_8h.html#a11c011eabf1ef83e1a292721c60815ce',1,'thermo::inter_normal()']]], - ['interpolated_5fsources',['interpolated_sources',['../transfer_8h.html#ad9de9e9288051713fff7e15845d379d8',1,'transfer_workspace']]], - ['is_5fnon_5fzero',['is_non_zero',['../primordial_8h.html#a9bda65132bae13af43610cc3968415eb',1,'primordial::is_non_zero()'],['../spectra_8h.html#af016f91ebb5939fde93268ade735c4bb',1,'spectra::is_non_zero()']]] -]; diff --git a/doc/manual/html/search/all_a.html b/doc/manual/html/search/all_a.html deleted file mode 100644 index 9601fcee..00000000 --- a/doc/manual/html/search/all_a.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_a.js b/doc/manual/html/search/all_a.js deleted file mode 100644 index bb4514b2..00000000 --- a/doc/manual/html/search/all_a.js +++ /dev/null @@ -1,26 +0,0 @@ -var searchData= -[ - ['k',['K',['../background_8h.html#a8a09d5f6e0efa11f44399f8d8c64857c',1,'background::K()'],['../transfer_8h.html#a3dfb6eba621f9b11a4b3edf4be42d176',1,'transfer_workspace::K()'],['../structnonlinear.html#a6d371ac0fc8dfdef575a5751afd44565',1,'nonlinear::k()'],['../perturbations_8h.html#a0fee08ef9309738309b6e2c654fd9b81',1,'perturbs::k()'],['../perturbations_8h.html#adbd1437efd805fdc19bbf2ea57ee8a24',1,'perturb_parameters_and_workspace::k()'],['../transfer_8h.html#a952f100434c9914599e07976a0eb1b4f',1,'transfers::k()']]], - ['k_5fbao_5fcenter',['k_bao_center',['../common_8h.html#a4e71de45a9b087c4294be70904594e85',1,'precision']]], - ['k_5fbao_5fwidth',['k_bao_width',['../common_8h.html#a4c8a6260f43f1e8c632b7718b0e82b14',1,'precision']]], - ['k_5fmax',['k_max',['../perturbations_8h.html#aa6fbc9ffce88dd7b66a6e797df710a58',1,'perturbs']]], - ['k_5fmax_5ffor_5fpk',['k_max_for_pk',['../perturbations_8h.html#a7285baae346f8cd9bf3c09b2d2cd0f68',1,'perturbs']]], - ['k_5fmax_5ftau0_5fover_5fl_5fmax',['k_max_tau0_over_l_max',['../common_8h.html#a97d5f791e87f30f894a5ba0f0a8eed5a',1,'precision']]], - ['k_5fmin',['k_min',['../perturbations_8h.html#a2efabcc7ceb38767671e282da56e7331',1,'perturbs']]], - ['k_5fmin_5ftau0',['k_min_tau0',['../common_8h.html#aeac5c1c43202273395e87a94224ce0a9',1,'precision']]], - ['k_5fnl',['k_nl',['../structnonlinear.html#a0cf43f23da9a66bad019e2cdc8c7128e',1,'nonlinear::k_nl()'],['../structnonlinear.html#afb3529188cde54269e8faeb411f323d4',1,'nonlinear::k_nl()']]], - ['k_5foutput_5fvalues',['k_output_values',['../perturbations_8h.html#a88b5ec9a18e294c2e9e1b0c4b9846d46',1,'perturbs']]], - ['k_5foutput_5fvalues_5fnum',['k_output_values_num',['../perturbations_8h.html#ade6a029d5354ed2f317951009edc55e0',1,'perturbs']]], - ['k_5fper_5fdecade_5ffor_5fbao',['k_per_decade_for_bao',['../common_8h.html#aacd801b9cb8b7df946ffa229b9645723',1,'precision']]], - ['k_5fper_5fdecade_5ffor_5fpk',['k_per_decade_for_pk',['../common_8h.html#a44385574a37fa0a1ffd638c4e8c78c6d',1,'precision']]], - ['k_5fper_5fdecade_5fprimordial',['k_per_decade_primordial',['../common_8h.html#afbf2e72248f3c25bee2f64c61ca981b5',1,'precision']]], - ['k_5fpivot',['k_pivot',['../primordial_8h.html#a992d363635a9688b5856ab14d2a6fa6a',1,'primordial']]], - ['k_5fsize',['k_size',['../structnonlinear.html#a5337c7a8ffea7bb7f178d6bad11b5622',1,'nonlinear::k_size()'],['../perturbations_8h.html#abdd65bae5df178b9882fd8089a934aca',1,'perturbs::k_size()']]], - ['k_5fsize_5fcl',['k_size_cl',['../perturbations_8h.html#ab933faf685c21519d39707e39c2684c7',1,'perturbs']]], - ['k_5fsize_5fcmb',['k_size_cmb',['../perturbations_8h.html#a186e24b1748420d3d66d3fa9c15d1a54',1,'perturbs']]], - ['k_5fstep_5fsub',['k_step_sub',['../common_8h.html#a07ba1a203e7ea715dfe7ae2799ae18b7',1,'precision']]], - ['k_5fstep_5fsuper',['k_step_super',['../common_8h.html#a6f18fea5cd97ab1ee45dea423b2ce162',1,'precision']]], - ['k_5fstep_5fsuper_5freduction',['k_step_super_reduction',['../common_8h.html#acd10d8e37647e08051e527ba608a45c5',1,'precision']]], - ['k_5fstep_5ftransition',['k_step_transition',['../common_8h.html#a5ee3dad46e6bca34b6ba05aa2f9f68dc',1,'precision']]], - ['ksi_5fncdm_5fdefault',['ksi_ncdm_default',['../background_8h.html#a79d6f2dc01ccd89bbba441982bfff33d',1,'background']]] -]; diff --git a/doc/manual/html/search/all_b.html b/doc/manual/html/search/all_b.html deleted file mode 100644 index 0814e4e0..00000000 --- a/doc/manual/html/search/all_b.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_b.js b/doc/manual/html/search/all_b.js deleted file mode 100644 index 05358dd6..00000000 --- a/doc/manual/html/search/all_b.js +++ /dev/null @@ -1,77 +0,0 @@ -var searchData= -[ - ['l',['l',['../lensing_8h.html#a515aa9ec5555b0f9ab5b43b0bf4b65aa',1,'lensing::l()'],['../spectra_8h.html#abbeb989dda07d55b3122a402fc9a9d5a',1,'spectra::l()'],['../transfer_8h.html#a9c53323b5d6815b19ff3ba8367bf059e',1,'transfers::l()']]], - ['l_5flensed_5fmax',['l_lensed_max',['../lensing_8h.html#af0af1fc9b860d9077686bea4717c7113',1,'lensing']]], - ['l_5flinstep',['l_linstep',['../common_8h.html#a64c68a1863d043f4a5df26286ffd98e5',1,'precision']]], - ['l_5flogstep',['l_logstep',['../common_8h.html#aa7e27015428cc6b8ad5435b7c26ff1cf',1,'precision']]], - ['l_5flss_5fmax',['l_lss_max',['../perturbations_8h.html#ad95d62365638e07da1067ec11509a267',1,'perturbs']]], - ['l_5fmax',['l_max',['../spectra_8h.html#a38d6d56c37aed30d482da7c195f92e3a',1,'spectra']]], - ['l_5fmax_5fct',['l_max_ct',['../spectra_8h.html#a9604e37eb1b394c6fc7087b91c14411f',1,'spectra']]], - ['l_5fmax_5fdr',['l_max_dr',['../common_8h.html#a5393476f92ce80b7f46300e1f8d21a5d',1,'precision::l_max_dr()'],['../perturbations_8h.html#a72b6b3130896f7fcdd829c7676223cb9',1,'perturb_vector::l_max_dr()']]], - ['l_5fmax_5fg',['l_max_g',['../common_8h.html#abac166faeb6ad1dc7f2444cd0e00cb29',1,'precision::l_max_g()'],['../perturbations_8h.html#ab38f5a833603c52dfbd1e221fc74fd6f',1,'perturb_vector::l_max_g()']]], - ['l_5fmax_5fg_5ften',['l_max_g_ten',['../common_8h.html#a961483a52e5d54f72e5e906bc5dd8977',1,'precision']]], - ['l_5fmax_5flt',['l_max_lt',['../lensing_8h.html#a92589138597145c2e311e3ecb18d7580',1,'lensing']]], - ['l_5fmax_5fncdm',['l_max_ncdm',['../common_8h.html#a55cf9da97cd32bf397d1ffe0a1467ba0',1,'precision::l_max_ncdm()'],['../perturbations_8h.html#af24b3c2e1771277747b62680ec882bdd',1,'perturb_vector::l_max_ncdm()']]], - ['l_5fmax_5fpol_5fg',['l_max_pol_g',['../common_8h.html#a60a346a5f7ac91b7f4e192b41ba1d279',1,'precision::l_max_pol_g()'],['../perturbations_8h.html#afbd657ef80ce568ac17ab39e0b784e98',1,'perturb_vector::l_max_pol_g()']]], - ['l_5fmax_5fpol_5fg_5ften',['l_max_pol_g_ten',['../common_8h.html#ab3a6fd17b3bb2c34e1f427625e5044a4',1,'precision']]], - ['l_5fmax_5ftot',['l_max_tot',['../spectra_8h.html#a58feb2fcd4d06d3801f0f452d00bf987',1,'spectra']]], - ['l_5fmax_5fur',['l_max_ur',['../common_8h.html#a568cb71c90fb5ebb82851dabd9d6135a',1,'precision::l_max_ur()'],['../perturbations_8h.html#a649fe7e6f920b4e38e3493afb8c6be53',1,'perturb_vector::l_max_ur()']]], - ['l_5fscalar_5fmax',['l_scalar_max',['../perturbations_8h.html#ad19bfcf5857798364cb337aab0c2fb49',1,'perturbs']]], - ['l_5fsize',['l_size',['../lensing_8h.html#a1f1c98d553499b30adedbb623b69bfa1',1,'lensing::l_size()'],['../spectra_8h.html#af914e728444df64b91bfd117a94d7b06',1,'spectra::l_size()'],['../transfer_8h.html#ae917edcaaca1b905211ed1a41eda8c1c',1,'transfers::l_size()'],['../transfer_8h.html#a8b96d30c1ef94e11aa4200c13e865d41',1,'transfer_workspace::l_size()']]], - ['l_5fsize_5fmax',['l_size_max',['../spectra_8h.html#abb17bea5d5b9ab86cc211e19d975790e',1,'spectra::l_size_max()'],['../transfer_8h.html#a103c59aede115134d0063b78081b3075',1,'transfers::l_size_max()']]], - ['l_5fsize_5ftt',['l_size_tt',['../transfer_8h.html#a0ae5457b1b8904a89150ff13d3eb0c6e',1,'transfers']]], - ['l_5fswitch_5flimber',['l_switch_limber',['../common_8h.html#a17b12dee0a13c51a2c784ed9bcf988a2',1,'precision']]], - ['l_5fswitch_5flimber_5ffor_5fnc_5flocal_5fover_5fz',['l_switch_limber_for_nc_local_over_z',['../common_8h.html#acfd2414789a48c1ffea0aae0ebbe6e03',1,'precision']]], - ['l_5fswitch_5flimber_5ffor_5fnc_5flos_5fover_5fz',['l_switch_limber_for_nc_los_over_z',['../common_8h.html#a7a4eb61c1a9b00c560deb9ed6a70fa72',1,'precision']]], - ['l_5ftensor_5fmax',['l_tensor_max',['../perturbations_8h.html#af1e8d93c8aaa9afee5da056bcb76f306',1,'perturbs']]], - ['l_5funlensed_5fmax',['l_unlensed_max',['../lensing_8h.html#adfe9236af20f4ee1c3836cbfcd7aae3b',1,'lensing']]], - ['l_5fvector_5fmax',['l_vector_max',['../perturbations_8h.html#adf0c33089ac34f54a868c9b4e518c64f',1,'perturbs']]], - ['last_5findex_5fback',['last_index_back',['../perturbations_8h.html#a6ae91653132c6e0df1918de791dec37a',1,'perturb_workspace']]], - ['last_5findex_5fthermo',['last_index_thermo',['../perturbations_8h.html#a73236fa830a3ded2ce3eea0ca235d18b',1,'perturb_workspace']]], - ['lcmb_5fpivot',['lcmb_pivot',['../transfer_8h.html#a91095384810847be0636e449c0212e24',1,'transfers']]], - ['lcmb_5frescale',['lcmb_rescale',['../transfer_8h.html#a8c2f7acb96ae31d0faf207ffce762ae4',1,'transfers']]], - ['lcmb_5ftilt',['lcmb_tilt',['../transfer_8h.html#a6db5c71e92b75d127a1ca1903d4142b9',1,'transfers']]], - ['lensing',['lensing',['../lensing_8h.html#structlensing',1,'']]], - ['lensing_2ec',['lensing.c',['../lensing_8c.html',1,'']]], - ['lensing_2eh',['lensing.h',['../lensing_8h.html',1,'']]], - ['lensing_5faddback_5fcl_5fee_5fbb',['lensing_addback_cl_ee_bb',['../lensing_8c.html#a84c33f708e98e91ac0eee9378c355fec',1,'lensing.c']]], - ['lensing_5faddback_5fcl_5fte',['lensing_addback_cl_te',['../lensing_8c.html#a30167830b4708a0bc60abc6b9be81576',1,'lensing.c']]], - ['lensing_5faddback_5fcl_5ftt',['lensing_addback_cl_tt',['../lensing_8c.html#a93c81c6537273acc4a4deb7573cde6af',1,'lensing.c']]], - ['lensing_5fcl_5fat_5fl',['lensing_cl_at_l',['../lensing_8c.html#ac5710eca0f1143cd1ad7a204cbe4bae5',1,'lensing.c']]], - ['lensing_5fd00',['lensing_d00',['../lensing_8c.html#a8c0f1ac44db5bc5e348e2c4fd723e0d8',1,'lensing.c']]], - ['lensing_5fd11',['lensing_d11',['../lensing_8c.html#a86888e910dc2cb1031063218fd5434e0',1,'lensing.c']]], - ['lensing_5fd1m1',['lensing_d1m1',['../lensing_8c.html#a137f944542bfd744a148240ea720418c',1,'lensing.c']]], - ['lensing_5fd20',['lensing_d20',['../lensing_8c.html#a17edd5fd9b3ad08bc1a1dc735fb8981e',1,'lensing.c']]], - ['lensing_5fd22',['lensing_d22',['../lensing_8c.html#ac548af81bc8bdf12f15cf0c5b2ca9b84',1,'lensing.c']]], - ['lensing_5fd2m2',['lensing_d2m2',['../lensing_8c.html#a474e545549672efb2259c822bcae6456',1,'lensing.c']]], - ['lensing_5fd31',['lensing_d31',['../lensing_8c.html#a9b557bbe75f6d2f3957fb3e4a46c425a',1,'lensing.c']]], - ['lensing_5fd3m1',['lensing_d3m1',['../lensing_8c.html#aa0c70cf7f8bc1f653545f2f5ef8a2dc4',1,'lensing.c']]], - ['lensing_5fd3m3',['lensing_d3m3',['../lensing_8c.html#aa8448f33066f8a6ed97bf2b0285952da',1,'lensing.c']]], - ['lensing_5fd40',['lensing_d40',['../lensing_8c.html#a17de01075faba697505383fbf5faf7ad',1,'lensing.c']]], - ['lensing_5fd4m2',['lensing_d4m2',['../lensing_8c.html#a6002602bc0f60403c639242bcc1b0ff8',1,'lensing.c']]], - ['lensing_5fd4m4',['lensing_d4m4',['../lensing_8c.html#ae1093661395382a2321cb98d290d8515',1,'lensing.c']]], - ['lensing_5ffree',['lensing_free',['../lensing_8c.html#a9cbf409f2b65914598cf452b51685dca',1,'lensing.c']]], - ['lensing_5findices',['lensing_indices',['../lensing_8c.html#acbbfdaccd7ac5f9664ca39285784d043',1,'lensing.c']]], - ['lensing_5finit',['lensing_init',['../lensing_8c.html#a3b33ec98a680b47da64235ebf899439a',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5fee_5fbb',['lensing_lensed_cl_ee_bb',['../lensing_8c.html#acf2e6f2c29828502953534af31aa7f34',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5fte',['lensing_lensed_cl_te',['../lensing_8c.html#a272cd58bf07556235aa5b95c734c276a',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5ftt',['lensing_lensed_cl_tt',['../lensing_8c.html#a3b21bddff38d4032ee147c49cc367fc8',1,'lensing.c']]], - ['lensing_5fverbose',['lensing_verbose',['../lensing_8h.html#a719645bb169b370108150f591a4d93e5',1,'lensing']]], - ['linear_5for_5flogarithmic',['linear_or_logarithmic',['../primordial_8h.html#af97c57fb2cbf4f53e76a1c0ddfb04322',1,'primordial.h']]], - ['ln_5fk',['ln_k',['../spectra_8h.html#a8d1366df83d9413ec408151c90643a9e',1,'spectra']]], - ['ln_5fk_5fsize',['ln_k_size',['../spectra_8h.html#aba12c1edfe1407562fed0488f07d499e',1,'spectra']]], - ['ln_5fpk',['ln_pk',['../spectra_8h.html#a658520d8cde6f2367dc6de37c6b5f069',1,'spectra']]], - ['ln_5fpk_5fcb',['ln_pk_cb',['../spectra_8h.html#a55da2c80f6c3948181df1b6c2065fc64',1,'spectra']]], - ['ln_5fpk_5fcb_5fl',['ln_pk_cb_l',['../spectra_8h.html#a2efde47762e8fe37b3ac48ad3e81566b',1,'spectra']]], - ['ln_5fpk_5fcb_5fnl',['ln_pk_cb_nl',['../spectra_8h.html#acf8c92999d79ae673698d04629b9cabe',1,'spectra']]], - ['ln_5fpk_5fnl',['ln_pk_nl',['../spectra_8h.html#a38c2aeac727751ecad8885c8df23586a',1,'spectra']]], - ['ln_5ftau',['ln_tau',['../spectra_8h.html#a5f7d064aff5ca9c3aa2b99db6d3d8d64',1,'spectra']]], - ['ln_5ftau_5fnl',['ln_tau_nl',['../spectra_8h.html#aee71399f6b9835fbe3bb396634f69bee',1,'spectra']]], - ['ln_5ftau_5fnl_5fsize',['ln_tau_nl_size',['../spectra_8h.html#aed0aa0a8c85c43cad6cf07664f664be8',1,'spectra']]], - ['ln_5ftau_5fsize',['ln_tau_size',['../spectra_8h.html#a683b5edb0fc48b2c91bd0a2c963657f0',1,'spectra']]], - ['lnk',['lnk',['../primordial_8h.html#af4d42a04be39689f90d2c9271fc58adb',1,'primordial']]], - ['lnk_5fsize',['lnk_size',['../primordial_8h.html#afb8b1450e80fad605dbd86f45f985683',1,'primordial']]], - ['lnpk',['lnpk',['../primordial_8h.html#abd07e09bb1fcbc79692b2abd8ccf4b1e',1,'primordial']]], - ['long_5finfo',['long_info',['../background_8h.html#a323b663d2f3722d50460d8cf25aa19cd',1,'background']]], - ['lt_5fsize',['lt_size',['../lensing_8h.html#aa9ad0daf319c47e96f8830fedf682afd',1,'lensing']]] -]; diff --git a/doc/manual/html/search/all_c.html b/doc/manual/html/search/all_c.html deleted file mode 100644 index da08c387..00000000 --- a/doc/manual/html/search/all_c.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_c.js b/doc/manual/html/search/all_c.js deleted file mode 100644 index c3e6f78d..00000000 --- a/doc/manual/html/search/all_c.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['m_5fncdm',['M_ncdm',['../background_8h.html#a9d8594c1ee9335c883f42375e71e5125',1,'background']]], - ['m_5fncdm_5fin_5fev',['m_ncdm_in_eV',['../background_8h.html#a131114b677feb75fb76d4203e849b5c1',1,'background']]], - ['many_5ftanh_5fnum',['many_tanh_num',['../thermodynamics_8h.html#ada9c9823a4dc41e3e6397b670b5389b4',1,'thermo']]], - ['many_5ftanh_5fwidth',['many_tanh_width',['../thermodynamics_8h.html#adb1b7437b219c65ddf3405e90acaafd5',1,'thermo']]], - ['many_5ftanh_5fxe',['many_tanh_xe',['../thermodynamics_8h.html#ad14b8f1cb5561b40dbf39af0a49a1557',1,'thermo']]], - ['many_5ftanh_5fz',['many_tanh_z',['../thermodynamics_8h.html#a4011a979ddfb33fde348fbb9e08f0458',1,'thermo']]], - ['matter_5ftransfer',['matter_transfer',['../spectra_8h.html#a196d78f8357b4db11abcac0cdf2f8bc8',1,'spectra']]], - ['max_5fl_5fmax',['max_l_max',['../perturbations_8h.html#a96761f7981d819dc36e4c799c421b895',1,'perturb_workspace']]], - ['md_5fsize',['md_size',['../perturbations_8h.html#a0b02540b63842769707585822981dabd',1,'perturbs::md_size()'],['../primordial_8h.html#adb653bc4b8147c7975500778cfc91cf4',1,'primordial::md_size()'],['../spectra_8h.html#a7162896ffe54e04b025389a38f0b6e51',1,'spectra::md_size()'],['../transfer_8h.html#acc9c66aebf8723431d019b397747a8cc',1,'transfers::md_size()']]], - ['method',['method',['../structnonlinear.html#aa5256a476f6fa766b8977272715be21a',1,'nonlinear']]], - ['mt_5fsize',['mt_size',['../perturbations_8h.html#adac9de5f30d729bfd93d63581605842f',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/all_d.html b/doc/manual/html/search/all_d.html deleted file mode 100644 index 9986c9cb..00000000 --- a/doc/manual/html/search/all_d.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_d.js b/doc/manual/html/search/all_d.js deleted file mode 100644 index 27b9d0c5..00000000 --- a/doc/manual/html/search/all_d.js +++ /dev/null @@ -1,61 +0,0 @@ -var searchData= -[ - ['n_5fad_5fbi',['n_ad_bi',['../primordial_8h.html#aa5c4a415981070e3a7065d2ac6500fe5',1,'primordial']]], - ['n_5fad_5fcdi',['n_ad_cdi',['../primordial_8h.html#a533e6ae3fbb99c73f9cd233656de0486',1,'primordial']]], - ['n_5fad_5fnid',['n_ad_nid',['../primordial_8h.html#a6f60aaa4c2e2749b5312d6f752c0f430',1,'primordial']]], - ['n_5fad_5fniv',['n_ad_niv',['../primordial_8h.html#a8fb032baa0f74759014fcd912357c8ba',1,'primordial']]], - ['n_5fbi',['n_bi',['../primordial_8h.html#a080a64221ae8da7e06f3bf884fab961b',1,'primordial']]], - ['n_5fbi_5fcdi',['n_bi_cdi',['../primordial_8h.html#aebc3532af60c6a594e67a6171d2f018a',1,'primordial']]], - ['n_5fbi_5fnid',['n_bi_nid',['../primordial_8h.html#a94a0ab4f4e893b8b6a36f26e55e24c75',1,'primordial']]], - ['n_5fbi_5fniv',['n_bi_niv',['../primordial_8h.html#ad854459b4fe856d2e80d0ecb8206610e',1,'primordial']]], - ['n_5fcdi',['n_cdi',['../primordial_8h.html#a90feb32706083c529950dacfd4a173a2',1,'primordial']]], - ['n_5fcdi_5fnid',['n_cdi_nid',['../primordial_8h.html#adb98626de6ae429d3b62207a0694fb77',1,'primordial']]], - ['n_5fcdi_5fniv',['n_cdi_niv',['../primordial_8h.html#aa6cc5d8318d0993ed2934281565433a5',1,'primordial']]], - ['n_5fe',['n_e',['../thermodynamics_8h.html#a9bff37796a1c0d6271a7fefb97e15b35',1,'thermo']]], - ['n_5fncdm',['N_ncdm',['../background_8h.html#a09ba67b55b60f42115407641d077ea53',1,'background::N_ncdm()'],['../perturbations_8h.html#a0870c2e067fb72bfcc200d67c7adaef4',1,'perturb_vector::N_ncdm()']]], - ['n_5fnid',['n_nid',['../primordial_8h.html#af4eafced96e906fb69e4cd9d2bb433e3',1,'primordial']]], - ['n_5fnid_5fniv',['n_nid_niv',['../primordial_8h.html#a73abb8e0b105d288a3bb735744ad7d78',1,'primordial']]], - ['n_5fniv',['n_niv',['../primordial_8h.html#affe995a4bd3d8c978466fd80adc5456a',1,'primordial']]], - ['n_5fs',['n_s',['../primordial_8h.html#a35c0cac2ba15fbd45c292d9f9acfdcb5',1,'primordial']]], - ['n_5ft',['n_t',['../primordial_8h.html#ab3b9abb6ff0b52dc69c5c30f047534e6',1,'primordial']]], - ['ncdm_5ffluid_5fapproximation',['ncdm_fluid_approximation',['../common_8h.html#a6b62112800de6f262f64b557a9196597',1,'precision']]], - ['ncdm_5ffluid_5ftrigger_5ftau_5fover_5ftau_5fk',['ncdm_fluid_trigger_tau_over_tau_k',['../common_8h.html#a54c961c3fe76802a2aade252088c5c26',1,'precision']]], - ['ncdm_5finput_5fq_5fsize',['ncdm_input_q_size',['../background_8h.html#afbbadd6d926e8380ec64d85bbbc240cf',1,'background']]], - ['ncdm_5fpsd_5ffiles',['ncdm_psd_files',['../background_8h.html#aa45063cc56ed270925f22707465b4592',1,'background']]], - ['ncdm_5fpsd_5fparameters',['ncdm_psd_parameters',['../background_8h.html#a974529db1fe5cbf91fc8513c1b56b7f3',1,'background']]], - ['ncdm_5fqmax',['ncdm_qmax',['../background_8h.html#a6443854e2bb51b44b58a9deb4579edbd',1,'background']]], - ['ncdm_5fquadrature_5fstrategy',['ncdm_quadrature_strategy',['../background_8h.html#a17271539e7ea4dc8bd12eb6bfa8226dc',1,'background']]], - ['neff',['Neff',['../background_8h.html#a62011b2fc16a6e812997912686ac3089',1,'background']]], - ['neglect_5fcmb_5fsources_5fbelow_5fvisibility',['neglect_CMB_sources_below_visibility',['../common_8h.html#a2154eafeea247599857b87d549afacd3',1,'precision']]], - ['neglect_5flate_5fsource',['neglect_late_source',['../transfer_8h.html#acc5b2260d1eb28b9fb12e7dd67b75e0f',1,'transfer_workspace']]], - ['newtonian',['newtonian',['../perturbations_8h.html#a393651984401ac059c225aed80e4862ca6f069c11c49f62f29dcbdcf0f19188ac',1,'perturbations.h']]], - ['nl_5fcorr_5fdensity',['nl_corr_density',['../structnonlinear.html#a774d3d64ba57a3441c012096f1af7147',1,'nonlinear::nl_corr_density()'],['../structnonlinear.html#a488af6d3cc6c44d56fd8cfdf38d4d75b',1,'nonlinear::nl_corr_density()']]], - ['nnow',['Nnow',['../thermodynamics_8h.html#a6fdf4f1d81808b97b351443d663e8811',1,'recombination']]], - ['non_5fdiag',['non_diag',['../spectra_8h.html#aa4ba8bb05804a9c367e7099a5aafac6f',1,'spectra']]], - ['nonlinear',['nonlinear',['../structnonlinear.html',1,'']]], - ['nonlinear_2ec',['nonlinear.c',['../nonlinear_8c.html',1,'']]], - ['nonlinear_2eh',['nonlinear.h',['../nonlinear_8h.html',1,'']]], - ['nonlinear_5ffree',['nonlinear_free',['../nonlinear_8c.html#a9ff63e7434268cc98d583f2cd332c948',1,'nonlinear.c']]], - ['nonlinear_5fhalofit',['nonlinear_halofit',['../nonlinear_8c.html#a27ed37e9eeccad4ef1ba2c1bc8a42a64',1,'nonlinear.c']]], - ['nonlinear_5fhalofit_5fintegrate',['nonlinear_halofit_integrate',['../nonlinear_8c.html#a3e5fe7614b870191df0e37a626671fdc',1,'nonlinear.c']]], - ['nonlinear_5finit',['nonlinear_init',['../nonlinear_8c.html#a86727ddb48af0066973966308bb889cd',1,'nonlinear.c']]], - ['nonlinear_5fk_5fnl_5fat_5fz',['nonlinear_k_nl_at_z',['../nonlinear_8c.html#a13b3f35646d9b27de4910d72d1d7079a',1,'nonlinear.c']]], - ['nonlinear_5fpk_5fl',['nonlinear_pk_l',['../nonlinear_8c.html#aea63e432387d9be3acdf5e702c8c23b8',1,'nonlinear.c']]], - ['nonlinear_5fverbose',['nonlinear_verbose',['../structnonlinear.html#a793810d8ed0e8a951293d0d4b1475c46',1,'nonlinear']]], - ['normal_5finfo',['normal_info',['../background_8h.html#a94e49478108e40a1a392fca2c4fe6086',1,'background']]], - ['num_5fmu_5fminus_5flmax',['num_mu_minus_lmax',['../common_8h.html#ac99c1152d8b70ca3408ba7aad3d10f9a',1,'precision']]], - ['number_5fof_5fscalar_5ftitles',['number_of_scalar_titles',['../perturbations_8h.html#a6fbc7c6b0ac2d6174553e8f3ab1cec20',1,'perturbs']]], - ['number_5fof_5ftensor_5ftitles',['number_of_tensor_titles',['../perturbations_8h.html#a90eb42b47485bf70870f9917f54cd68f',1,'perturbs']]], - ['number_5fof_5fvector_5ftitles',['number_of_vector_titles',['../perturbations_8h.html#a160f6bde2eebbe55f15790b995a4902d',1,'perturbs']]], - ['nz_5fddnz',['nz_ddnz',['../transfer_8h.html#a8a60fad65c936fd7c8efcd18e30a7dec',1,'transfers']]], - ['nz_5fevo_5fdd_5fdlog_5fnz',['nz_evo_dd_dlog_nz',['../transfer_8h.html#ae3d34e1bf2485dfc59d3885714fe23e9',1,'transfers']]], - ['nz_5fevo_5fdlog_5fnz',['nz_evo_dlog_nz',['../transfer_8h.html#a07477648687d9b344a838ac4545a39ce',1,'transfers']]], - ['nz_5fevo_5ffile_5fname',['nz_evo_file_name',['../transfer_8h.html#ade3591562b4b9f7fc163e7048fea7e3c',1,'transfers']]], - ['nz_5fevo_5fnz',['nz_evo_nz',['../transfer_8h.html#a33850a8009e5e6f03a028f5121313081',1,'transfers']]], - ['nz_5fevo_5fsize',['nz_evo_size',['../transfer_8h.html#ab1f9d920837a0d1e6f291392896e9856',1,'transfers']]], - ['nz_5fevo_5fz',['nz_evo_z',['../transfer_8h.html#ac6807420f6f385c94a901a1bb9646ea0',1,'transfers']]], - ['nz_5ffile_5fname',['nz_file_name',['../transfer_8h.html#a35378a07a9177c5f0e9eee5be9f4637b',1,'transfers']]], - ['nz_5fnz',['nz_nz',['../transfer_8h.html#a1b82292c5519d4f60b1f7265f64fcd2e',1,'transfers']]], - ['nz_5fsize',['nz_size',['../transfer_8h.html#a0f728ad0ee27fe37d42caa1235a25481',1,'transfers']]], - ['nz_5fz',['nz_z',['../transfer_8h.html#a710ee27a2ec706be1e1b7ff1f9a1e00d',1,'transfers']]] -]; diff --git a/doc/manual/html/search/all_e.html b/doc/manual/html/search/all_e.html deleted file mode 100644 index 9fa42bba..00000000 --- a/doc/manual/html/search/all_e.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_e.js b/doc/manual/html/search/all_e.js deleted file mode 100644 index d78a9708..00000000 --- a/doc/manual/html/search/all_e.js +++ /dev/null @@ -1,32 +0,0 @@ -var searchData= -[ - ['omega0_5fb',['Omega0_b',['../background_8h.html#ac082b414dc40c0b5e733c57bd5118631',1,'background']]], - ['omega0_5fcdm',['Omega0_cdm',['../background_8h.html#a9ec8a5cb6af4f689640b76826128df0f',1,'background']]], - ['omega0_5fdcdm',['Omega0_dcdm',['../background_8h.html#a5d2e52d4d54e0620f5308c1b2d9213ee',1,'background']]], - ['omega0_5fdcdmdr',['Omega0_dcdmdr',['../background_8h.html#a35d3f42e265af29cd38a3f35e5fd1392',1,'background']]], - ['omega0_5fdr',['Omega0_dr',['../background_8h.html#a29c6752fb9367daa282c161e01e2d9ab',1,'background']]], - ['omega0_5ffld',['Omega0_fld',['../background_8h.html#a8c8a6bf15b6f48a498c1dc19712431eb',1,'background']]], - ['omega0_5fg',['Omega0_g',['../background_8h.html#a2803ca707b3250cfe73620ce4d46848f',1,'background']]], - ['omega0_5fk',['Omega0_k',['../background_8h.html#a35ebd905024845619047dfa78db952c5',1,'background']]], - ['omega0_5flambda',['Omega0_lambda',['../background_8h.html#adba7f8bdac5313854cb48580b7562a13',1,'background']]], - ['omega0_5fncdm_5ftot',['Omega0_ncdm_tot',['../background_8h.html#a05f67862c306f12461a02afd1c6b955a',1,'background']]], - ['omega0_5fscf',['Omega0_scf',['../background_8h.html#a3ec7cb89aee15662360e4ec7b85436f8',1,'background']]], - ['omega0_5fur',['Omega0_ur',['../background_8h.html#a0fb6c6ef3e802c8f11c03a0561ff3994',1,'background']]], - ['omega_5fede',['Omega_EDE',['../background_8h.html#a73cece3d366da582e32a3e46869d0c17',1,'background']]], - ['omega_5fini_5fdcdm',['Omega_ini_dcdm',['../background_8h.html#a31ef8cc19fade403f356531c713a589c',1,'background']]], - ['output',['output',['../output_8h.html#structoutput',1,'']]], - ['output_2ec',['output.c',['../output_8c.html',1,'']]], - ['output_2eh',['output.h',['../output_8h.html',1,'']]], - ['output_5fcl',['output_cl',['../output_8c.html#a9bae3589fccc1c41512259ec74aa8b98',1,'output.c']]], - ['output_5fformat',['output_format',['../output_8h.html#a5792445d2cb4ddf1520fe8dbe1a29568',1,'output']]], - ['output_5finit',['output_init',['../output_8c.html#adb23841ba0e7e7e11781591d2fd8a535',1,'output.c']]], - ['output_5fone_5fline_5fof_5fcl',['output_one_line_of_cl',['../output_8c.html#a951b1cd656a52f299332d8d28e5dd232',1,'output.c']]], - ['output_5fone_5fline_5fof_5fpk',['output_one_line_of_pk',['../output_8c.html#a1f9256b9768fc3ca72e0416bc7a04a6a',1,'output.c']]], - ['output_5fopen_5fcl_5ffile',['output_open_cl_file',['../output_8c.html#ac3d259a5ea37b2fbf7fc7dee4b49810b',1,'output.c']]], - ['output_5fopen_5fpk_5ffile',['output_open_pk_file',['../output_8c.html#ad4c7659004bb52754db96a7b6fb88f6b',1,'output.c']]], - ['output_5fpk',['output_pk',['../output_8c.html#a433c6754b69011fc5f4c402fff442c03',1,'output.c']]], - ['output_5fpk_5fnl',['output_pk_nl',['../output_8c.html#a2b51b250f47325e9a3fd6c7202525d0d',1,'output.c']]], - ['output_5fprint_5fdata',['output_print_data',['../output_8c.html#a5da9a12c04ffdd30ff7881de756c22b1',1,'output.c']]], - ['output_5ftk',['output_tk',['../output_8c.html#ac8276c52bb11691d12c9e21977be5d55',1,'output.c']]], - ['output_5fverbose',['output_verbose',['../output_8h.html#abcfb9ab7c27dc27c33810dbd025468df',1,'output']]] -]; diff --git a/doc/manual/html/search/all_f.html b/doc/manual/html/search/all_f.html deleted file mode 100644 index 6ecfc0ed..00000000 --- a/doc/manual/html/search/all_f.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/all_f.js b/doc/manual/html/search/all_f.js deleted file mode 100644 index e8f87429..00000000 --- a/doc/manual/html/search/all_f.js +++ /dev/null @@ -1,115 +0,0 @@ -var searchData= -[ - ['pba',['pba',['../perturbations_8h.html#a9068d5228c160afb65facc4e0ce1f5b2',1,'perturb_parameters_and_workspace']]], - ['pbis',['pBIS',['../transfer_8h.html#ac0a4a7ac556b373d5afde27e75c1cba2',1,'transfer_workspace']]], - ['perturb_5fapproximations',['perturb_approximations',['../perturbations_8c.html#adc944c8e172833c9c18557e1508b828a',1,'perturbations.c']]], - ['perturb_5fderivs',['perturb_derivs',['../perturbations_8c.html#aa6f273487c3cc276a4db995051e850c1',1,'perturbations.c']]], - ['perturb_5feinstein',['perturb_einstein',['../perturbations_8c.html#ac3d9fb29d84566ab67c69ee8d28a30c4',1,'perturbations.c']]], - ['perturb_5ffind_5fapproximation_5fnumber',['perturb_find_approximation_number',['../perturbations_8c.html#ae952f39862d329abce842e5ff0ccef1a',1,'perturbations.c']]], - ['perturb_5ffind_5fapproximation_5fswitches',['perturb_find_approximation_switches',['../perturbations_8c.html#a32513f12869ecf15659266787513a9d6',1,'perturbations.c']]], - ['perturb_5ffree',['perturb_free',['../perturbations_8c.html#a74076af3188daaaf4370ebe6d99467c7',1,'perturbations.c']]], - ['perturb_5fget_5fk_5flist',['perturb_get_k_list',['../perturbations_8c.html#a0576a9234f137786c71ed0d39bd41a6a',1,'perturbations.c']]], - ['perturb_5findices_5fof_5fperturbs',['perturb_indices_of_perturbs',['../perturbations_8c.html#a18919a91db85f3b160f5c37652df8ad2',1,'perturbations.c']]], - ['perturb_5finit',['perturb_init',['../perturbations_8c.html#a8c49cf2b10de95fbf09d8823bc37c512',1,'perturbations.c']]], - ['perturb_5finitial_5fconditions',['perturb_initial_conditions',['../perturbations_8c.html#a32fef60bdb0627ff3982d1d8185aa566',1,'perturbations.c']]], - ['perturb_5fintegration_5fstepsize',['perturb_integration_stepsize',['../common_8h.html#a5762210bd94b59011e8d3be114e83e4a',1,'precision']]], - ['perturb_5foutput_5ffile',['perturb_output_file',['../perturbations_8h.html#af2087e01157ae877d2b6a0dac6bc1ff6',1,'perturb_workspace']]], - ['perturb_5fparameters_5fand_5fworkspace',['perturb_parameters_and_workspace',['../perturbations_8h.html#structperturb__parameters__and__workspace',1,'']]], - ['perturb_5fprepare_5foutput',['perturb_prepare_output',['../perturbations_8c.html#a6030d94fa0132ba4aec2d0c1c8e0c8cc',1,'perturbations.c']]], - ['perturb_5fprint_5fvariables',['perturb_print_variables',['../perturbations_8c.html#a7102d2605e166f2f2eaf5518aeab79fc',1,'perturbations.c']]], - ['perturb_5fsampling_5fstepsize',['perturb_sampling_stepsize',['../common_8h.html#a4497a61ff0002e2356946594ec4d89ce',1,'precision']]], - ['perturb_5fsolve',['perturb_solve',['../perturbations_8c.html#afb08128eaf97711c39a1c6b03de9d0c1',1,'perturbations.c']]], - ['perturb_5fsources',['perturb_sources',['../perturbations_8c.html#a846b00583c952e1d772d40e42bd38628',1,'perturbations.c']]], - ['perturb_5fsources_5fat_5ftau',['perturb_sources_at_tau',['../perturbations_8c.html#a6ff67e40c37f87b0bb60e31384c8d2f3',1,'perturbations.c']]], - ['perturb_5ftca_5fslip_5fand_5fshear',['perturb_tca_slip_and_shear',['../perturbations_8c.html#a2767b1841cc9aab30957347853d8db6d',1,'perturbations.c']]], - ['perturb_5ftimesampling_5ffor_5fsources',['perturb_timesampling_for_sources',['../perturbations_8c.html#a137c582541759d0b3b1e19c2cce403af',1,'perturbations.c']]], - ['perturb_5ftimescale',['perturb_timescale',['../perturbations_8c.html#ac25f59a7fd0f4f7eb58c5c2c4620eac6',1,'perturbations.c']]], - ['perturb_5ftotal_5fstress_5fenergy',['perturb_total_stress_energy',['../perturbations_8c.html#a11f17fb88c32d9cadae8b74efac77b01',1,'perturbations.c']]], - ['perturb_5fvector',['perturb_vector',['../perturbations_8h.html#structperturb__vector',1,'']]], - ['perturb_5fvector_5ffree',['perturb_vector_free',['../perturbations_8c.html#a640847cb9e0000f9556404ac7d0a49e8',1,'perturbations.c']]], - ['perturb_5fvector_5finit',['perturb_vector_init',['../perturbations_8c.html#af24f3c293aed6612641ff4f6bac63994',1,'perturbations.c']]], - ['perturb_5fworkspace',['perturb_workspace',['../perturbations_8h.html#structperturb__workspace',1,'']]], - ['perturb_5fworkspace_5ffree',['perturb_workspace_free',['../perturbations_8c.html#a22780c266a622dbfd79041206ebfcd2b',1,'perturbations.c']]], - ['perturb_5fworkspace_5finit',['perturb_workspace_init',['../perturbations_8c.html#a0133b10254da8e7e291758beeb2dbd1a',1,'perturbations.c']]], - ['perturbations_2ec',['perturbations.c',['../perturbations_8c.html',1,'']]], - ['perturbations_2eh',['perturbations.h',['../perturbations_8h.html',1,'']]], - ['perturbations_5fverbose',['perturbations_verbose',['../perturbations_8h.html#ab3cac22c75f2edc18a8b12c985c942f3',1,'perturbs']]], - ['perturbs',['perturbs',['../perturbations_8h.html#structperturbs',1,'']]], - ['phi_5fend',['phi_end',['../primordial_8h.html#aea80e519fa0ce2fdf2b4820af05b3c15',1,'primordial']]], - ['phi_5fini_5fscf',['phi_ini_scf',['../background_8h.html#ab52738cef0f6f7156c22ea3410e06559',1,'background']]], - ['phi_5fmax',['phi_max',['../primordial_8h.html#aa83e0948e492273933d482c0734db375',1,'primordial']]], - ['phi_5fmin',['phi_min',['../primordial_8h.html#ac470bf4fc3baaf6a566fe84e7e393751',1,'primordial']]], - ['phi_5fpivot',['phi_pivot',['../primordial_8h.html#a30705149872b96ec4918f303339b48d3',1,'primordial']]], - ['phi_5fpivot_5fmethod',['phi_pivot_method',['../primordial_8h.html#a158bc04234683f9292923a7441597a23',1,'primordial']]], - ['phi_5fpivot_5fmethods',['phi_pivot_methods',['../primordial_8h.html#ad4961aeb87c56f59f886b346f898793a',1,'primordial.h']]], - ['phi_5fpivot_5ftarget',['phi_pivot_target',['../primordial_8h.html#adb92236c8b8be2aeb8735c11c1a53db7',1,'primordial']]], - ['phi_5fprime_5fini_5fscf',['phi_prime_ini_scf',['../background_8h.html#ac261b364a383b80cdc222e8fd42be5de',1,'background']]], - ['phi_5fstop',['phi_stop',['../primordial_8h.html#a7e1f0626b0ed574e46bdff7b20c2cffc',1,'primordial']]], - ['pk_5fdef',['pk_def',['../common_8h.html#aab161982846c9e414cccea37822f4b0c',1,'common.h']]], - ['pk_5feq_5fddw_5fand_5fddomega',['pk_eq_ddw_and_ddOmega',['../structnonlinear.html#a9829e53eed43354d6eadd1b4a1a50ca8',1,'nonlinear']]], - ['pk_5feq_5fsize',['pk_eq_size',['../structnonlinear.html#ac75dd441d317ae820442c292ee07cf5c',1,'nonlinear']]], - ['pk_5feq_5ftau',['pk_eq_tau',['../structnonlinear.html#a800f77dc54958d78cd2217e580dbaa12',1,'nonlinear']]], - ['pk_5feq_5ftau_5fsize',['pk_eq_tau_size',['../structnonlinear.html#ac4dca0626fe3ba4625d38e6471d394ad',1,'nonlinear']]], - ['pk_5feq_5ftol',['pk_eq_tol',['../common_8h.html#afa85ffd7c1df2a7cd56f961c3128f1d5',1,'precision']]], - ['pk_5feq_5fw_5fand_5fomega',['pk_eq_w_and_Omega',['../structnonlinear.html#a3789820291a5e3bed24b5ab532f6c2c1',1,'nonlinear']]], - ['pk_5feq_5fz_5fmax',['pk_eq_z_max',['../common_8h.html#a115f47aedeac72cb8534f7f7ca0a6416',1,'precision']]], - ['pk_5fsize',['pk_size',['../structnonlinear.html#ad1989b77431ef92f23f2f291109191a6',1,'nonlinear']]], - ['possible_5fgauges',['possible_gauges',['../perturbations_8h.html#a393651984401ac059c225aed80e4862c',1,'perturbations.h']]], - ['potential',['potential',['../primordial_8h.html#a67c22e95069d6402b05dcdee8d742784',1,'primordial']]], - ['potential_5fshape',['potential_shape',['../primordial_8h.html#abc9f57be3e8c9ae0afd2edabc57f71b5',1,'primordial.h']]], - ['ppr',['ppr',['../perturbations_8h.html#a17f71fba9b472adef213e8c6894ff540',1,'perturb_parameters_and_workspace']]], - ['ppt',['ppt',['../perturbations_8h.html#a8301ae9bd8f2866ae57d990f1609ee73',1,'perturb_parameters_and_workspace']]], - ['ppw',['ppw',['../perturbations_8h.html#ac42880afe983fe35c6dec9349b3fe0bb',1,'perturb_parameters_and_workspace']]], - ['precision',['precision',['../common_8h.html#structprecision',1,'']]], - ['primordial',['primordial',['../primordial_8h.html#structprimordial',1,'']]], - ['primordial_2ec',['primordial.c',['../primordial_8c.html',1,'']]], - ['primordial_2eh',['primordial.h',['../primordial_8h.html',1,'']]], - ['primordial_5fanalytic_5fspectrum',['primordial_analytic_spectrum',['../primordial_8c.html#ac1c10cc04ed3b0932fc2d97ad8b989bb',1,'primordial.c']]], - ['primordial_5fanalytic_5fspectrum_5finit',['primordial_analytic_spectrum_init',['../primordial_8c.html#a652f3a92c6d20a900491328f877d055b',1,'primordial.c']]], - ['primordial_5fexternal_5fspectrum_5finit',['primordial_external_spectrum_init',['../primordial_8c.html#a218f0e59a88b1082047a3dee4d28e9ab',1,'primordial.c']]], - ['primordial_5ffree',['primordial_free',['../primordial_8c.html#a0738267288f804baecaabf57d018dd4c',1,'primordial.c']]], - ['primordial_5fget_5flnk_5flist',['primordial_get_lnk_list',['../primordial_8c.html#a38d4688b9514a9a2aa2ef5aee3fe62cd',1,'primordial.c']]], - ['primordial_5findices',['primordial_indices',['../primordial_8c.html#a7117826e79516d8c79ab8922355b5aa3',1,'primordial.c']]], - ['primordial_5finflation_5fah_5fini_5ftarget',['primordial_inflation_aH_ini_target',['../common_8h.html#ad86876b6f583fcd0ca9c7146f2d749e3',1,'precision']]], - ['primordial_5finflation_5fanalytic_5fspectra',['primordial_inflation_analytic_spectra',['../primordial_8c.html#a743507d4ef8cbea8c9c9e2fd51636e6a',1,'primordial.c']]], - ['primordial_5finflation_5fattractor_5fmaxit',['primordial_inflation_attractor_maxit',['../common_8h.html#a4355a8eb656279f80ff63956be8d7e49',1,'precision']]], - ['primordial_5finflation_5fattractor_5fprecision_5finitial',['primordial_inflation_attractor_precision_initial',['../common_8h.html#ac36bfac5bf99d2ecacdfda31420060b1',1,'precision']]], - ['primordial_5finflation_5fattractor_5fprecision_5fpivot',['primordial_inflation_attractor_precision_pivot',['../common_8h.html#a1bd6a29b44675212577ae20619427d10',1,'precision']]], - ['primordial_5finflation_5fbg_5fstepsize',['primordial_inflation_bg_stepsize',['../common_8h.html#a690f47ac04ee5f5de4f8af0800b23be5',1,'precision']]], - ['primordial_5finflation_5fcheck_5fhubble',['primordial_inflation_check_hubble',['../primordial_8c.html#a259f83136df5d84895754b5169edfdc5',1,'primordial.c']]], - ['primordial_5finflation_5fcheck_5fpotential',['primordial_inflation_check_potential',['../primordial_8c.html#a24385b8d50b9d5661039351baf531607',1,'primordial.c']]], - ['primordial_5finflation_5fderivs',['primordial_inflation_derivs',['../primordial_8c.html#afa97aa27a9de9350d2829c879b4168ea',1,'primordial.c']]], - ['primordial_5finflation_5fend_5fdphi',['primordial_inflation_end_dphi',['../common_8h.html#af58ec8aa0a925457a63a0dc6fbd512af',1,'precision']]], - ['primordial_5finflation_5fend_5flogstep',['primordial_inflation_end_logstep',['../common_8h.html#ac6690436e0d643a9b99773d591a76da4',1,'precision']]], - ['primordial_5finflation_5fevolve_5fbackground',['primordial_inflation_evolve_background',['../primordial_8c.html#abd4b8ec84574311163b24823024815b8',1,'primordial.c']]], - ['primordial_5finflation_5fextra_5fefolds',['primordial_inflation_extra_efolds',['../common_8h.html#a64e544d03b3c76a0c7d31633f379bec5',1,'precision']]], - ['primordial_5finflation_5ffind_5fattractor',['primordial_inflation_find_attractor',['../primordial_8c.html#a173b299e7b40569977b0ccede10a1fbc',1,'primordial.c']]], - ['primordial_5finflation_5ffind_5fphi_5fpivot',['primordial_inflation_find_phi_pivot',['../primordial_8c.html#a3d866f6ad82b89050f34eec39a0b96e5',1,'primordial.c']]], - ['primordial_5finflation_5fget_5fepsilon',['primordial_inflation_get_epsilon',['../primordial_8c.html#ad99785737e2ec78af27ce4dd439fbb5c',1,'primordial.c']]], - ['primordial_5finflation_5fhubble',['primordial_inflation_hubble',['../primordial_8c.html#a884818587359180f98cab9742f58899f',1,'primordial.c']]], - ['primordial_5finflation_5findices',['primordial_inflation_indices',['../primordial_8c.html#a9f144634e4373a40a263f190dae90a83',1,'primordial.c']]], - ['primordial_5finflation_5fone_5fk',['primordial_inflation_one_k',['../primordial_8c.html#a2408dcaf0938b29fdaf753aa58389a42',1,'primordial.c']]], - ['primordial_5finflation_5fone_5fwavenumber',['primordial_inflation_one_wavenumber',['../primordial_8c.html#a61066bb489330ba565bc2123f1ed6171',1,'primordial.c']]], - ['primordial_5finflation_5fphi_5fini_5fmaxit',['primordial_inflation_phi_ini_maxit',['../common_8h.html#af5cf46019b39ccb708d864fa42ebbafb',1,'precision']]], - ['primordial_5finflation_5fpotential',['primordial_inflation_potential',['../primordial_8c.html#aed3af8386f2563c08d5f9335da4fe4a6',1,'primordial.c']]], - ['primordial_5finflation_5fpt_5fstepsize',['primordial_inflation_pt_stepsize',['../common_8h.html#a3c15bd987d537aa0da62849613b0f258',1,'precision']]], - ['primordial_5finflation_5fratio_5fmax',['primordial_inflation_ratio_max',['../common_8h.html#afa22510b85c145c8ae2d4414aeb21fb2',1,'precision']]], - ['primordial_5finflation_5fratio_5fmin',['primordial_inflation_ratio_min',['../common_8h.html#a2eb22cce2a952c3f6694144495763326',1,'precision']]], - ['primordial_5finflation_5fsmall_5fepsilon',['primordial_inflation_small_epsilon',['../common_8h.html#a3d2de2d9d767cd04b858335a1c1224ee',1,'precision']]], - ['primordial_5finflation_5fsmall_5fepsilon_5ftol',['primordial_inflation_small_epsilon_tol',['../common_8h.html#a3dc4f0226335fd96b007078fb267fe61',1,'precision']]], - ['primordial_5finflation_5fsolve_5finflation',['primordial_inflation_solve_inflation',['../primordial_8c.html#add085c0441ad0e2ae2cafdedd6179415',1,'primordial.c']]], - ['primordial_5finflation_5fspectra',['primordial_inflation_spectra',['../primordial_8c.html#aec9eed8de0b113845b4682fa2293fbf0',1,'primordial.c']]], - ['primordial_5finflation_5ftol_5fcurvature',['primordial_inflation_tol_curvature',['../common_8h.html#af05193504f126a2a1dbc34e4fd26219d',1,'precision']]], - ['primordial_5finflation_5ftol_5fintegration',['primordial_inflation_tol_integration',['../common_8h.html#a936e91a0394a27f46706550993de79d6',1,'precision']]], - ['primordial_5finit',['primordial_init',['../primordial_8c.html#aa8514e84606dae204881c26add8347fd',1,'primordial.c']]], - ['primordial_5fspec_5ftype',['primordial_spec_type',['../primordial_8h.html#a09788ccd5ad0318530fd237cb59812e0',1,'primordial']]], - ['primordial_5fspectrum_5fat_5fk',['primordial_spectrum_at_k',['../primordial_8c.html#a89f883182d64a767893f44af3cc76156',1,'primordial.c']]], - ['primordial_5fspectrum_5ftype',['primordial_spectrum_type',['../primordial_8h.html#a920d6a2fa14d663cb6d9a3fae5a4b27d',1,'primordial.h']]], - ['primordial_5fverbose',['primordial_verbose',['../primordial_8h.html#abe8dcda501378777a148f440f949fb14',1,'primordial']]], - ['pt_5fsize',['pt_size',['../perturbations_8h.html#a35fbda8bef49fdcc7cc303c576369e6d',1,'perturb_vector']]], - ['pth',['pth',['../perturbations_8h.html#a28aaaec1a2f39ad6008b462fb9175ee3',1,'perturb_parameters_and_workspace']]], - ['pv',['pv',['../perturbations_8h.html#a130122fc65ddb422b2c46dca09ddab85',1,'perturb_workspace']]], - ['pvecback',['pvecback',['../perturbations_8h.html#a048ea8307d1fdd3c9ee023ca4c6945ff',1,'perturb_workspace']]], - ['pvecmetric',['pvecmetric',['../perturbations_8h.html#aa7f41a5175674a0dc03fcd11bcc30ef5',1,'perturb_workspace']]], - ['pvecthermo',['pvecthermo',['../perturbations_8h.html#afb6929391bdf3aa1206062c8e925f3e9',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/classes_0.html b/doc/manual/html/search/classes_0.html deleted file mode 100644 index 1c3e406a..00000000 --- a/doc/manual/html/search/classes_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_0.js b/doc/manual/html/search/classes_0.js deleted file mode 100644 index aa016e2c..00000000 --- a/doc/manual/html/search/classes_0.js +++ /dev/null @@ -1,6 +0,0 @@ -var searchData= -[ - ['background',['background',['../background_8h.html#structbackground',1,'']]], - ['background_5fparameters_5fand_5fworkspace',['background_parameters_and_workspace',['../background_8h.html#structbackground__parameters__and__workspace',1,'']]], - ['background_5fparameters_5ffor_5fdistributions',['background_parameters_for_distributions',['../background_8h.html#structbackground__parameters__for__distributions',1,'']]] -]; diff --git a/doc/manual/html/search/classes_1.html b/doc/manual/html/search/classes_1.html deleted file mode 100644 index a8e70695..00000000 --- a/doc/manual/html/search/classes_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_1.js b/doc/manual/html/search/classes_1.js deleted file mode 100644 index 14e00299..00000000 --- a/doc/manual/html/search/classes_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['lensing',['lensing',['../lensing_8h.html#structlensing',1,'']]] -]; diff --git a/doc/manual/html/search/classes_2.html b/doc/manual/html/search/classes_2.html deleted file mode 100644 index 5c09c969..00000000 --- a/doc/manual/html/search/classes_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_2.js b/doc/manual/html/search/classes_2.js deleted file mode 100644 index 2e98af97..00000000 --- a/doc/manual/html/search/classes_2.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['nonlinear',['nonlinear',['../structnonlinear.html',1,'']]] -]; diff --git a/doc/manual/html/search/classes_3.html b/doc/manual/html/search/classes_3.html deleted file mode 100644 index 5faaeba8..00000000 --- a/doc/manual/html/search/classes_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_3.js b/doc/manual/html/search/classes_3.js deleted file mode 100644 index 8dbf12cd..00000000 --- a/doc/manual/html/search/classes_3.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['output',['output',['../output_8h.html#structoutput',1,'']]] -]; diff --git a/doc/manual/html/search/classes_4.html b/doc/manual/html/search/classes_4.html deleted file mode 100644 index b3f11bc7..00000000 --- a/doc/manual/html/search/classes_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_4.js b/doc/manual/html/search/classes_4.js deleted file mode 100644 index 4e9c6b99..00000000 --- a/doc/manual/html/search/classes_4.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['perturb_5fparameters_5fand_5fworkspace',['perturb_parameters_and_workspace',['../perturbations_8h.html#structperturb__parameters__and__workspace',1,'']]], - ['perturb_5fvector',['perturb_vector',['../perturbations_8h.html#structperturb__vector',1,'']]], - ['perturb_5fworkspace',['perturb_workspace',['../perturbations_8h.html#structperturb__workspace',1,'']]], - ['perturbs',['perturbs',['../perturbations_8h.html#structperturbs',1,'']]], - ['precision',['precision',['../common_8h.html#structprecision',1,'']]], - ['primordial',['primordial',['../primordial_8h.html#structprimordial',1,'']]] -]; diff --git a/doc/manual/html/search/classes_5.html b/doc/manual/html/search/classes_5.html deleted file mode 100644 index 952ace6f..00000000 --- a/doc/manual/html/search/classes_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_5.js b/doc/manual/html/search/classes_5.js deleted file mode 100644 index f25d89c3..00000000 --- a/doc/manual/html/search/classes_5.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['recombination',['recombination',['../thermodynamics_8h.html#structrecombination',1,'']]], - ['reionization',['reionization',['../thermodynamics_8h.html#structreionization',1,'']]] -]; diff --git a/doc/manual/html/search/classes_6.html b/doc/manual/html/search/classes_6.html deleted file mode 100644 index 75eef9f4..00000000 --- a/doc/manual/html/search/classes_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_6.js b/doc/manual/html/search/classes_6.js deleted file mode 100644 index 8836441e..00000000 --- a/doc/manual/html/search/classes_6.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['spectra',['spectra',['../spectra_8h.html#structspectra',1,'']]] -]; diff --git a/doc/manual/html/search/classes_7.html b/doc/manual/html/search/classes_7.html deleted file mode 100644 index 745f5f28..00000000 --- a/doc/manual/html/search/classes_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/classes_7.js b/doc/manual/html/search/classes_7.js deleted file mode 100644 index c3a1784a..00000000 --- a/doc/manual/html/search/classes_7.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['thermo',['thermo',['../thermodynamics_8h.html#structthermo',1,'']]], - ['thermodynamics_5fparameters_5fand_5fworkspace',['thermodynamics_parameters_and_workspace',['../thermodynamics_8h.html#structthermodynamics__parameters__and__workspace',1,'']]], - ['transfer_5fworkspace',['transfer_workspace',['../transfer_8h.html#structtransfer__workspace',1,'']]], - ['transfers',['transfers',['../transfer_8h.html#structtransfers',1,'']]] -]; diff --git a/doc/manual/html/search/close.png b/doc/manual/html/search/close.png deleted file mode 100644 index 9342d3df..00000000 Binary files a/doc/manual/html/search/close.png and /dev/null differ diff --git a/doc/manual/html/search/defines_0.html b/doc/manual/html/search/defines_0.html deleted file mode 100644 index 5b252045..00000000 --- a/doc/manual/html/search/defines_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/defines_0.js b/doc/manual/html/search/defines_0.js deleted file mode 100644 index 3679d0d8..00000000 --- a/doc/manual/html/search/defines_0.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['_5fm_5fev_5ftoo_5fbig_5ffor_5fhalofit_5f',['_M_EV_TOO_BIG_FOR_HALOFIT_',['../nonlinear_8h.html#a2bae60634b6fc5f82424ffb1f46ac172',1,'nonlinear.h']]], - ['_5fmax_5fnumber_5fof_5fk_5ffiles_5f',['_MAX_NUMBER_OF_K_FILES_',['../perturbations_8h.html#a1baeb730684adab0a981f1e3528303c5',1,'perturbations.h']]], - ['_5fselection_5fnum_5fmax_5f',['_SELECTION_NUM_MAX_',['../perturbations_8h.html#afb3227061c928d5a8882a7b8a933aba7',1,'perturbations.h']]], - ['_5fyhe_5fbig_5f',['_YHE_BIG_',['../thermodynamics_8h.html#acbafc70129dd9657b0377735e5cd99e1',1,'thermodynamics.h']]], - ['_5fyhe_5fsmall_5f',['_YHE_SMALL_',['../thermodynamics_8h.html#a8fbd5bfe2788808e5f3df7c24ce9173d',1,'thermodynamics.h']]], - ['_5fz_5fpk_5fnum_5fmax_5f',['_Z_PK_NUM_MAX_',['../output_8h.html#ad1fd7b52b9596abaee90e5523ec5fe8e',1,'output.h']]] -]; diff --git a/doc/manual/html/search/defines_1.html b/doc/manual/html/search/defines_1.html deleted file mode 100644 index 91488cb5..00000000 --- a/doc/manual/html/search/defines_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/defines_1.js b/doc/manual/html/search/defines_1.js deleted file mode 100644 index 3f56097c..00000000 --- a/doc/manual/html/search/defines_1.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['f1',['f1',['../thermodynamics_8h.html#af26abb8c819fd3cf4d6cb0711c80b9ee',1,'thermodynamics.h']]], - ['f2',['f2',['../thermodynamics_8h.html#a5cd67c8452696b8eebb34709acc71f36',1,'thermodynamics.h']]] -]; diff --git a/doc/manual/html/search/enums_0.html b/doc/manual/html/search/enums_0.html deleted file mode 100644 index ee343ac0..00000000 --- a/doc/manual/html/search/enums_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_0.js b/doc/manual/html/search/enums_0.js deleted file mode 100644 index eeee60c3..00000000 --- a/doc/manual/html/search/enums_0.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['equation_5fof_5fstate',['equation_of_state',['../background_8h.html#a72c36a03e1a76af13b5cc73c1904af06',1,'background.h']]], - ['evolver_5ftype',['evolver_type',['../common_8h.html#a554a0cdfc80aa49273197d324b2e9956',1,'common.h']]] -]; diff --git a/doc/manual/html/search/enums_1.html b/doc/manual/html/search/enums_1.html deleted file mode 100644 index 3fd210a0..00000000 --- a/doc/manual/html/search/enums_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_1.js b/doc/manual/html/search/enums_1.js deleted file mode 100644 index f09a3b74..00000000 --- a/doc/manual/html/search/enums_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['file_5fformat',['file_format',['../common_8h.html#abd81d11867ad50357ea8332e8d36cf8a',1,'common.h']]] -]; diff --git a/doc/manual/html/search/enums_2.html b/doc/manual/html/search/enums_2.html deleted file mode 100644 index a042e520..00000000 --- a/doc/manual/html/search/enums_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_2.js b/doc/manual/html/search/enums_2.js deleted file mode 100644 index ee7a13ba..00000000 --- a/doc/manual/html/search/enums_2.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['inflation_5fmodule_5fbehavior',['inflation_module_behavior',['../primordial_8h.html#a7ff77630e0e043c10aaf1dafaffdf800',1,'primordial.h']]], - ['integration_5fdirection',['integration_direction',['../primordial_8h.html#afcc5265c16ef7281cb64ff3deb734c2f',1,'primordial.h']]] -]; diff --git a/doc/manual/html/search/enums_3.html b/doc/manual/html/search/enums_3.html deleted file mode 100644 index 265e0cb9..00000000 --- a/doc/manual/html/search/enums_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_3.js b/doc/manual/html/search/enums_3.js deleted file mode 100644 index 969f6f91..00000000 --- a/doc/manual/html/search/enums_3.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['linear_5for_5flogarithmic',['linear_or_logarithmic',['../primordial_8h.html#af97c57fb2cbf4f53e76a1c0ddfb04322',1,'primordial.h']]] -]; diff --git a/doc/manual/html/search/enums_4.html b/doc/manual/html/search/enums_4.html deleted file mode 100644 index 97ee07fb..00000000 --- a/doc/manual/html/search/enums_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_4.js b/doc/manual/html/search/enums_4.js deleted file mode 100644 index 5038ea61..00000000 --- a/doc/manual/html/search/enums_4.js +++ /dev/null @@ -1,8 +0,0 @@ -var searchData= -[ - ['phi_5fpivot_5fmethods',['phi_pivot_methods',['../primordial_8h.html#ad4961aeb87c56f59f886b346f898793a',1,'primordial.h']]], - ['pk_5fdef',['pk_def',['../common_8h.html#aab161982846c9e414cccea37822f4b0c',1,'common.h']]], - ['possible_5fgauges',['possible_gauges',['../perturbations_8h.html#a393651984401ac059c225aed80e4862c',1,'perturbations.h']]], - ['potential_5fshape',['potential_shape',['../primordial_8h.html#abc9f57be3e8c9ae0afd2edabc57f71b5',1,'primordial.h']]], - ['primordial_5fspectrum_5ftype',['primordial_spectrum_type',['../primordial_8h.html#a920d6a2fa14d663cb6d9a3fae5a4b27d',1,'primordial.h']]] -]; diff --git a/doc/manual/html/search/enums_5.html b/doc/manual/html/search/enums_5.html deleted file mode 100644 index f837d25f..00000000 --- a/doc/manual/html/search/enums_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_5.js b/doc/manual/html/search/enums_5.js deleted file mode 100644 index 3c6a59cd..00000000 --- a/doc/manual/html/search/enums_5.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['radial_5ffunction_5ftype',['radial_function_type',['../transfer_8h.html#af3f4670b8918a9905edf8d0c2c5ce32b',1,'transfer.h']]], - ['recombination_5falgorithm',['recombination_algorithm',['../thermodynamics_8h.html#a244f4d3fb288b63e3f02cc0a0c7961e3',1,'thermodynamics.h']]], - ['reionization_5fparametrization',['reionization_parametrization',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0',1,'thermodynamics.h']]], - ['reionization_5fz_5for_5ftau',['reionization_z_or_tau',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0',1,'thermodynamics.h']]] -]; diff --git a/doc/manual/html/search/enums_6.html b/doc/manual/html/search/enums_6.html deleted file mode 100644 index 56491ab5..00000000 --- a/doc/manual/html/search/enums_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_6.js b/doc/manual/html/search/enums_6.js deleted file mode 100644 index 5d36be88..00000000 --- a/doc/manual/html/search/enums_6.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['spatial_5fcurvature',['spatial_curvature',['../background_8h.html#a084e4b1d0e8008b93518986b89cd77ff',1,'background.h']]] -]; diff --git a/doc/manual/html/search/enums_7.html b/doc/manual/html/search/enums_7.html deleted file mode 100644 index 58517731..00000000 --- a/doc/manual/html/search/enums_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enums_7.js b/doc/manual/html/search/enums_7.js deleted file mode 100644 index f85890e5..00000000 --- a/doc/manual/html/search/enums_7.js +++ /dev/null @@ -1,8 +0,0 @@ -var searchData= -[ - ['target_5fnames',['target_names',['../input_8h.html#a2ab2421221f92f632c015f3d088f047c',1,'input.h']]], - ['target_5fquantity',['target_quantity',['../primordial_8h.html#a02d8d27be2ed6238b22b76c29ad0142a',1,'primordial.h']]], - ['tca_5fflags',['tca_flags',['../perturbations_8h.html#a77375d40cb1991478d464eb520df72a7',1,'perturbations.h']]], - ['tca_5fmethod',['tca_method',['../perturbations_8h.html#a4203622ae5decc9a7ec5d6cbe6731e98',1,'perturbations.h']]], - ['time_5fdefinition',['time_definition',['../primordial_8h.html#a8d962618eeb18f7afff009258f439ef3',1,'primordial.h']]] -]; diff --git a/doc/manual/html/search/enumvalues_0.html b/doc/manual/html/search/enumvalues_0.html deleted file mode 100644 index 9387b6a3..00000000 --- a/doc/manual/html/search/enumvalues_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enumvalues_0.js b/doc/manual/html/search/enumvalues_0.js deleted file mode 100644 index 8ac6c87c..00000000 --- a/doc/manual/html/search/enumvalues_0.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['delta_5fbc_5fsquared',['delta_bc_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0ca3ac991356a90d7ef50cf06f2e287939e',1,'common.h']]], - ['delta_5fm_5fsquared',['delta_m_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0cadf09cc6e3587e8d8f58386df9305c6ce',1,'common.h']]], - ['delta_5ftot_5ffrom_5fpoisson_5fsquared',['delta_tot_from_poisson_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0ca8406d31036bb2d430753210d3270f7b2',1,'common.h']]], - ['delta_5ftot_5fsquared',['delta_tot_squared',['../common_8h.html#aab161982846c9e414cccea37822f4b0caad4f0a8f52a0e789973f85d0351d359b',1,'common.h']]] -]; diff --git a/doc/manual/html/search/enumvalues_1.html b/doc/manual/html/search/enumvalues_1.html deleted file mode 100644 index f622aba9..00000000 --- a/doc/manual/html/search/enumvalues_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enumvalues_1.js b/doc/manual/html/search/enumvalues_1.js deleted file mode 100644 index beb2e448..00000000 --- a/doc/manual/html/search/enumvalues_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['newtonian',['newtonian',['../perturbations_8h.html#a393651984401ac059c225aed80e4862ca6f069c11c49f62f29dcbdcf0f19188ac',1,'perturbations.h']]] -]; diff --git a/doc/manual/html/search/enumvalues_2.html b/doc/manual/html/search/enumvalues_2.html deleted file mode 100644 index d4990784..00000000 --- a/doc/manual/html/search/enumvalues_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enumvalues_2.js b/doc/manual/html/search/enumvalues_2.js deleted file mode 100644 index 2a5b87c4..00000000 --- a/doc/manual/html/search/enumvalues_2.js +++ /dev/null @@ -1,11 +0,0 @@ -var searchData= -[ - ['reio_5fbins_5ftanh',['reio_bins_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a22baab4ed53435181db772e319c4d1a5',1,'thermodynamics.h']]], - ['reio_5fcamb',['reio_camb',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a38ef48278eabc04a3f5b806d5a074fce',1,'thermodynamics.h']]], - ['reio_5fhalf_5ftanh',['reio_half_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af5db0c1f643a3a0dd43c6c80cc7aae21',1,'thermodynamics.h']]], - ['reio_5finter',['reio_inter',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a80f6b4795200054b5db2b4e5bc553505',1,'thermodynamics.h']]], - ['reio_5fmany_5ftanh',['reio_many_tanh',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af8638eafa2d275e504aaeb975e388718',1,'thermodynamics.h']]], - ['reio_5fnone',['reio_none',['../thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a224e2258e42ac1cc1eddb8add797438a',1,'thermodynamics.h']]], - ['reio_5ftau',['reio_tau',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a9f890480f05a227d5dd8377011c44a10',1,'thermodynamics.h']]], - ['reio_5fz',['reio_z',['../thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a1612a14c9af1b5a5e092580c8cdb1c7a',1,'thermodynamics.h']]] -]; diff --git a/doc/manual/html/search/enumvalues_3.html b/doc/manual/html/search/enumvalues_3.html deleted file mode 100644 index b4fc3ee8..00000000 --- a/doc/manual/html/search/enumvalues_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/enumvalues_3.js b/doc/manual/html/search/enumvalues_3.js deleted file mode 100644 index 9354a079..00000000 --- a/doc/manual/html/search/enumvalues_3.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['synchronous',['synchronous',['../perturbations_8h.html#a393651984401ac059c225aed80e4862ca3c4f1195e4f20a93dc90b64f268687c1',1,'perturbations.h']]] -]; diff --git a/doc/manual/html/search/files_0.html b/doc/manual/html/search/files_0.html deleted file mode 100644 index 4f272b83..00000000 --- a/doc/manual/html/search/files_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_0.js b/doc/manual/html/search/files_0.js deleted file mode 100644 index 71954a32..00000000 --- a/doc/manual/html/search/files_0.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['background_2ec',['background.c',['../background_8c.html',1,'']]], - ['background_2eh',['background.h',['../background_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_1.html b/doc/manual/html/search/files_1.html deleted file mode 100644 index dcce4223..00000000 --- a/doc/manual/html/search/files_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_1.js b/doc/manual/html/search/files_1.js deleted file mode 100644 index 9022ffdf..00000000 --- a/doc/manual/html/search/files_1.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['class_2ec',['class.c',['../class_8c.html',1,'']]], - ['common_2eh',['common.h',['../common_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_2.html b/doc/manual/html/search/files_2.html deleted file mode 100644 index d5c6c3be..00000000 --- a/doc/manual/html/search/files_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_2.js b/doc/manual/html/search/files_2.js deleted file mode 100644 index e9da359c..00000000 --- a/doc/manual/html/search/files_2.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['input_2ec',['input.c',['../input_8c.html',1,'']]], - ['input_2eh',['input.h',['../input_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_3.html b/doc/manual/html/search/files_3.html deleted file mode 100644 index d5a95284..00000000 --- a/doc/manual/html/search/files_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_3.js b/doc/manual/html/search/files_3.js deleted file mode 100644 index ebabb4bb..00000000 --- a/doc/manual/html/search/files_3.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['lensing_2ec',['lensing.c',['../lensing_8c.html',1,'']]], - ['lensing_2eh',['lensing.h',['../lensing_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_4.html b/doc/manual/html/search/files_4.html deleted file mode 100644 index 7b4c42a0..00000000 --- a/doc/manual/html/search/files_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_4.js b/doc/manual/html/search/files_4.js deleted file mode 100644 index de03a5db..00000000 --- a/doc/manual/html/search/files_4.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['nonlinear_2ec',['nonlinear.c',['../nonlinear_8c.html',1,'']]], - ['nonlinear_2eh',['nonlinear.h',['../nonlinear_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_5.html b/doc/manual/html/search/files_5.html deleted file mode 100644 index 1f77bb12..00000000 --- a/doc/manual/html/search/files_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_5.js b/doc/manual/html/search/files_5.js deleted file mode 100644 index bb68067c..00000000 --- a/doc/manual/html/search/files_5.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['output_2ec',['output.c',['../output_8c.html',1,'']]], - ['output_2eh',['output.h',['../output_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_6.html b/doc/manual/html/search/files_6.html deleted file mode 100644 index 7573254f..00000000 --- a/doc/manual/html/search/files_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_6.js b/doc/manual/html/search/files_6.js deleted file mode 100644 index a75db49d..00000000 --- a/doc/manual/html/search/files_6.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['perturbations_2ec',['perturbations.c',['../perturbations_8c.html',1,'']]], - ['perturbations_2eh',['perturbations.h',['../perturbations_8h.html',1,'']]], - ['primordial_2ec',['primordial.c',['../primordial_8c.html',1,'']]], - ['primordial_2eh',['primordial.h',['../primordial_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_7.html b/doc/manual/html/search/files_7.html deleted file mode 100644 index 214b329d..00000000 --- a/doc/manual/html/search/files_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_7.js b/doc/manual/html/search/files_7.js deleted file mode 100644 index 9ee947e5..00000000 --- a/doc/manual/html/search/files_7.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['spectra_2ec',['spectra.c',['../spectra_8c.html',1,'']]], - ['spectra_2eh',['spectra.h',['../spectra_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/files_8.html b/doc/manual/html/search/files_8.html deleted file mode 100644 index 6720c7c3..00000000 --- a/doc/manual/html/search/files_8.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/files_8.js b/doc/manual/html/search/files_8.js deleted file mode 100644 index 899239ae..00000000 --- a/doc/manual/html/search/files_8.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['thermodynamics_2ec',['thermodynamics.c',['../thermodynamics_8c.html',1,'']]], - ['thermodynamics_2eh',['thermodynamics.h',['../thermodynamics_8h.html',1,'']]], - ['transfer_2ec',['transfer.c',['../transfer_8c.html',1,'']]], - ['transfer_2eh',['transfer.h',['../transfer_8h.html',1,'']]] -]; diff --git a/doc/manual/html/search/functions_0.html b/doc/manual/html/search/functions_0.html deleted file mode 100644 index 4e6d87d1..00000000 --- a/doc/manual/html/search/functions_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_0.js b/doc/manual/html/search/functions_0.js deleted file mode 100644 index 9923e1c8..00000000 --- a/doc/manual/html/search/functions_0.js +++ /dev/null @@ -1,23 +0,0 @@ -var searchData= -[ - ['background_5fat_5ftau',['background_at_tau',['../background_8c.html#ac47004414b208d36153f35d8465cace2',1,'background.c']]], - ['background_5fderivs',['background_derivs',['../background_8c.html#a7125aa3a44915ea6d0cca6f37613421a',1,'background.c']]], - ['background_5ffind_5fequality',['background_find_equality',['../background_8c.html#aed2984c000b71ae610410cd1a5490966',1,'background.c']]], - ['background_5ffree',['background_free',['../background_8c.html#a5b0d8db279856b3c96aba08c83aa19d6',1,'background.c']]], - ['background_5ffree_5finput',['background_free_input',['../background_8c.html#a61601a17447fc6a806921680d2e52c8f',1,'background.c']]], - ['background_5ffree_5fnoinput',['background_free_noinput',['../background_8c.html#a7c4d314e8a6131c2d1ebfb2cd2c17946',1,'background.c']]], - ['background_5ffunctions',['background_functions',['../background_8c.html#a302eb502773905601fa9b6936840682a',1,'background.c']]], - ['background_5findices',['background_indices',['../background_8c.html#a8934d2c903bb4c78b1b6a33a8c56e293',1,'background.c']]], - ['background_5finit',['background_init',['../background_8c.html#afeb0656453b92be39c60fb3fb1abd910',1,'background.c']]], - ['background_5finitial_5fconditions',['background_initial_conditions',['../background_8c.html#ad2dc56f010363d90bb1ad8447a32baf9',1,'background.c']]], - ['background_5fncdm_5fdistribution',['background_ncdm_distribution',['../background_8c.html#a3f8ea8dea94f63d01aa8fdcc3e0fb71a',1,'background.c']]], - ['background_5fncdm_5finit',['background_ncdm_init',['../background_8c.html#a7f380a260c9369b66422a58391797728',1,'background.c']]], - ['background_5fncdm_5fm_5ffrom_5fomega',['background_ncdm_M_from_Omega',['../background_8c.html#a5cc3564dbb251914c77d44f4990b21b9',1,'background.c']]], - ['background_5fncdm_5fmomenta',['background_ncdm_momenta',['../background_8c.html#afc47d7f15b3ff372df079890efcc6eb6',1,'background.c']]], - ['background_5fncdm_5ftest_5ffunction',['background_ncdm_test_function',['../background_8c.html#a59fa78f56e5b35c640712db6a7941a82',1,'background.c']]], - ['background_5foutput_5fdata',['background_output_data',['../background_8c.html#a0ff17dd11a557890bcd66920397828ad',1,'background.c']]], - ['background_5foutput_5ftitles',['background_output_titles',['../background_8c.html#a038afb8102e9f45af7524a59011c371f',1,'background.c']]], - ['background_5fsolve',['background_solve',['../background_8c.html#aeb523f9c8e728f79e9b431d2020faa41',1,'background.c']]], - ['background_5ftau_5fof_5fz',['background_tau_of_z',['../background_8c.html#a868e85eefe464a31b25639170ff9550c',1,'background.c']]], - ['background_5fw_5ffld',['background_w_fld',['../background_8c.html#a488d6a6f015cec7a4eae21556e2298ca',1,'background.c']]] -]; diff --git a/doc/manual/html/search/functions_1.html b/doc/manual/html/search/functions_1.html deleted file mode 100644 index b343e2db..00000000 --- a/doc/manual/html/search/functions_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_1.js b/doc/manual/html/search/functions_1.js deleted file mode 100644 index 13c089c0..00000000 --- a/doc/manual/html/search/functions_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['class_5ffzero_5fridder',['class_fzero_ridder',['../input_8c.html#a3fce286212c955b92a4cfd3f76194e2e',1,'input.c']]] -]; diff --git a/doc/manual/html/search/functions_2.html b/doc/manual/html/search/functions_2.html deleted file mode 100644 index ecce2f31..00000000 --- a/doc/manual/html/search/functions_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_2.js b/doc/manual/html/search/functions_2.js deleted file mode 100644 index 06f6e3bd..00000000 --- a/doc/manual/html/search/functions_2.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['get_5fmachine_5fprecision',['get_machine_precision',['../input_8c.html#a0b2960329fe47db0b2793700ddd4a604',1,'input.c']]] -]; diff --git a/doc/manual/html/search/functions_3.html b/doc/manual/html/search/functions_3.html deleted file mode 100644 index 15f06abd..00000000 --- a/doc/manual/html/search/functions_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_3.js b/doc/manual/html/search/functions_3.js deleted file mode 100644 index ecb1b7de..00000000 --- a/doc/manual/html/search/functions_3.js +++ /dev/null @@ -1,12 +0,0 @@ -var searchData= -[ - ['input_5fdefault_5fparams',['input_default_params',['../input_8c.html#a86c37a81b14461fcee64801b0bddbc32',1,'input.c']]], - ['input_5fdefault_5fprecision',['input_default_precision',['../input_8c.html#a4dea17257dd6912bde8032e322184e6f',1,'input.c']]], - ['input_5ffind_5froot',['input_find_root',['../input_8c.html#aee772d452d6a10313e151ffc9d4db8c5',1,'input.c']]], - ['input_5fget_5fguess',['input_get_guess',['../input_8c.html#a5faf7f188b4f34fd45b34e3eec302d12',1,'input.c']]], - ['input_5finit',['input_init',['../input_8c.html#a31052a91cf14f73d6f2bb0e7874429fb',1,'input.c']]], - ['input_5finit_5ffrom_5farguments',['input_init_from_arguments',['../input_8c.html#a40aecd22732b07db752cb4bc34e55ad4',1,'input.c']]], - ['input_5fprepare_5fpk_5feq',['input_prepare_pk_eq',['../input_8c.html#a978f28690f3030ff6b5f2f5f15310d03',1,'input.c']]], - ['input_5fread_5fparameters',['input_read_parameters',['../input_8c.html#a2ca13f55e0c5117997d052118a3395ae',1,'input.c']]], - ['input_5ftry_5funknown_5fparameters',['input_try_unknown_parameters',['../input_8c.html#a8902799b68422227ff6a3293ebd6bd94',1,'input.c']]] -]; diff --git a/doc/manual/html/search/functions_4.html b/doc/manual/html/search/functions_4.html deleted file mode 100644 index 8985ff27..00000000 --- a/doc/manual/html/search/functions_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_4.js b/doc/manual/html/search/functions_4.js deleted file mode 100644 index 3c6f96c2..00000000 --- a/doc/manual/html/search/functions_4.js +++ /dev/null @@ -1,25 +0,0 @@ -var searchData= -[ - ['lensing_5faddback_5fcl_5fee_5fbb',['lensing_addback_cl_ee_bb',['../lensing_8c.html#a84c33f708e98e91ac0eee9378c355fec',1,'lensing.c']]], - ['lensing_5faddback_5fcl_5fte',['lensing_addback_cl_te',['../lensing_8c.html#a30167830b4708a0bc60abc6b9be81576',1,'lensing.c']]], - ['lensing_5faddback_5fcl_5ftt',['lensing_addback_cl_tt',['../lensing_8c.html#a93c81c6537273acc4a4deb7573cde6af',1,'lensing.c']]], - ['lensing_5fcl_5fat_5fl',['lensing_cl_at_l',['../lensing_8c.html#ac5710eca0f1143cd1ad7a204cbe4bae5',1,'lensing.c']]], - ['lensing_5fd00',['lensing_d00',['../lensing_8c.html#a8c0f1ac44db5bc5e348e2c4fd723e0d8',1,'lensing.c']]], - ['lensing_5fd11',['lensing_d11',['../lensing_8c.html#a86888e910dc2cb1031063218fd5434e0',1,'lensing.c']]], - ['lensing_5fd1m1',['lensing_d1m1',['../lensing_8c.html#a137f944542bfd744a148240ea720418c',1,'lensing.c']]], - ['lensing_5fd20',['lensing_d20',['../lensing_8c.html#a17edd5fd9b3ad08bc1a1dc735fb8981e',1,'lensing.c']]], - ['lensing_5fd22',['lensing_d22',['../lensing_8c.html#ac548af81bc8bdf12f15cf0c5b2ca9b84',1,'lensing.c']]], - ['lensing_5fd2m2',['lensing_d2m2',['../lensing_8c.html#a474e545549672efb2259c822bcae6456',1,'lensing.c']]], - ['lensing_5fd31',['lensing_d31',['../lensing_8c.html#a9b557bbe75f6d2f3957fb3e4a46c425a',1,'lensing.c']]], - ['lensing_5fd3m1',['lensing_d3m1',['../lensing_8c.html#aa0c70cf7f8bc1f653545f2f5ef8a2dc4',1,'lensing.c']]], - ['lensing_5fd3m3',['lensing_d3m3',['../lensing_8c.html#aa8448f33066f8a6ed97bf2b0285952da',1,'lensing.c']]], - ['lensing_5fd40',['lensing_d40',['../lensing_8c.html#a17de01075faba697505383fbf5faf7ad',1,'lensing.c']]], - ['lensing_5fd4m2',['lensing_d4m2',['../lensing_8c.html#a6002602bc0f60403c639242bcc1b0ff8',1,'lensing.c']]], - ['lensing_5fd4m4',['lensing_d4m4',['../lensing_8c.html#ae1093661395382a2321cb98d290d8515',1,'lensing.c']]], - ['lensing_5ffree',['lensing_free',['../lensing_8c.html#a9cbf409f2b65914598cf452b51685dca',1,'lensing.c']]], - ['lensing_5findices',['lensing_indices',['../lensing_8c.html#acbbfdaccd7ac5f9664ca39285784d043',1,'lensing.c']]], - ['lensing_5finit',['lensing_init',['../lensing_8c.html#a3b33ec98a680b47da64235ebf899439a',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5fee_5fbb',['lensing_lensed_cl_ee_bb',['../lensing_8c.html#acf2e6f2c29828502953534af31aa7f34',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5fte',['lensing_lensed_cl_te',['../lensing_8c.html#a272cd58bf07556235aa5b95c734c276a',1,'lensing.c']]], - ['lensing_5flensed_5fcl_5ftt',['lensing_lensed_cl_tt',['../lensing_8c.html#a3b21bddff38d4032ee147c49cc367fc8',1,'lensing.c']]] -]; diff --git a/doc/manual/html/search/functions_5.html b/doc/manual/html/search/functions_5.html deleted file mode 100644 index 03149184..00000000 --- a/doc/manual/html/search/functions_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_5.js b/doc/manual/html/search/functions_5.js deleted file mode 100644 index 53a58c21..00000000 --- a/doc/manual/html/search/functions_5.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['nonlinear_5ffree',['nonlinear_free',['../nonlinear_8c.html#a9ff63e7434268cc98d583f2cd332c948',1,'nonlinear.c']]], - ['nonlinear_5fhalofit',['nonlinear_halofit',['../nonlinear_8c.html#a27ed37e9eeccad4ef1ba2c1bc8a42a64',1,'nonlinear.c']]], - ['nonlinear_5fhalofit_5fintegrate',['nonlinear_halofit_integrate',['../nonlinear_8c.html#a3e5fe7614b870191df0e37a626671fdc',1,'nonlinear.c']]], - ['nonlinear_5finit',['nonlinear_init',['../nonlinear_8c.html#a86727ddb48af0066973966308bb889cd',1,'nonlinear.c']]], - ['nonlinear_5fk_5fnl_5fat_5fz',['nonlinear_k_nl_at_z',['../nonlinear_8c.html#a13b3f35646d9b27de4910d72d1d7079a',1,'nonlinear.c']]], - ['nonlinear_5fpk_5fl',['nonlinear_pk_l',['../nonlinear_8c.html#aea63e432387d9be3acdf5e702c8c23b8',1,'nonlinear.c']]] -]; diff --git a/doc/manual/html/search/functions_6.html b/doc/manual/html/search/functions_6.html deleted file mode 100644 index c5061236..00000000 --- a/doc/manual/html/search/functions_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_6.js b/doc/manual/html/search/functions_6.js deleted file mode 100644 index af1be7c5..00000000 --- a/doc/manual/html/search/functions_6.js +++ /dev/null @@ -1,13 +0,0 @@ -var searchData= -[ - ['output_5fcl',['output_cl',['../output_8c.html#a9bae3589fccc1c41512259ec74aa8b98',1,'output.c']]], - ['output_5finit',['output_init',['../output_8c.html#adb23841ba0e7e7e11781591d2fd8a535',1,'output.c']]], - ['output_5fone_5fline_5fof_5fcl',['output_one_line_of_cl',['../output_8c.html#a951b1cd656a52f299332d8d28e5dd232',1,'output.c']]], - ['output_5fone_5fline_5fof_5fpk',['output_one_line_of_pk',['../output_8c.html#a1f9256b9768fc3ca72e0416bc7a04a6a',1,'output.c']]], - ['output_5fopen_5fcl_5ffile',['output_open_cl_file',['../output_8c.html#ac3d259a5ea37b2fbf7fc7dee4b49810b',1,'output.c']]], - ['output_5fopen_5fpk_5ffile',['output_open_pk_file',['../output_8c.html#ad4c7659004bb52754db96a7b6fb88f6b',1,'output.c']]], - ['output_5fpk',['output_pk',['../output_8c.html#a433c6754b69011fc5f4c402fff442c03',1,'output.c']]], - ['output_5fpk_5fnl',['output_pk_nl',['../output_8c.html#a2b51b250f47325e9a3fd6c7202525d0d',1,'output.c']]], - ['output_5fprint_5fdata',['output_print_data',['../output_8c.html#a5da9a12c04ffdd30ff7881de756c22b1',1,'output.c']]], - ['output_5ftk',['output_tk',['../output_8c.html#ac8276c52bb11691d12c9e21977be5d55',1,'output.c']]] -]; diff --git a/doc/manual/html/search/functions_7.html b/doc/manual/html/search/functions_7.html deleted file mode 100644 index 83a7b84b..00000000 --- a/doc/manual/html/search/functions_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_7.js b/doc/manual/html/search/functions_7.js deleted file mode 100644 index 69a9d8db..00000000 --- a/doc/manual/html/search/functions_7.js +++ /dev/null @@ -1,49 +0,0 @@ -var searchData= -[ - ['perturb_5fapproximations',['perturb_approximations',['../perturbations_8c.html#adc944c8e172833c9c18557e1508b828a',1,'perturbations.c']]], - ['perturb_5fderivs',['perturb_derivs',['../perturbations_8c.html#aa6f273487c3cc276a4db995051e850c1',1,'perturbations.c']]], - ['perturb_5feinstein',['perturb_einstein',['../perturbations_8c.html#ac3d9fb29d84566ab67c69ee8d28a30c4',1,'perturbations.c']]], - ['perturb_5ffind_5fapproximation_5fnumber',['perturb_find_approximation_number',['../perturbations_8c.html#ae952f39862d329abce842e5ff0ccef1a',1,'perturbations.c']]], - ['perturb_5ffind_5fapproximation_5fswitches',['perturb_find_approximation_switches',['../perturbations_8c.html#a32513f12869ecf15659266787513a9d6',1,'perturbations.c']]], - ['perturb_5ffree',['perturb_free',['../perturbations_8c.html#a74076af3188daaaf4370ebe6d99467c7',1,'perturbations.c']]], - ['perturb_5fget_5fk_5flist',['perturb_get_k_list',['../perturbations_8c.html#a0576a9234f137786c71ed0d39bd41a6a',1,'perturbations.c']]], - ['perturb_5findices_5fof_5fperturbs',['perturb_indices_of_perturbs',['../perturbations_8c.html#a18919a91db85f3b160f5c37652df8ad2',1,'perturbations.c']]], - ['perturb_5finit',['perturb_init',['../perturbations_8c.html#a8c49cf2b10de95fbf09d8823bc37c512',1,'perturbations.c']]], - ['perturb_5finitial_5fconditions',['perturb_initial_conditions',['../perturbations_8c.html#a32fef60bdb0627ff3982d1d8185aa566',1,'perturbations.c']]], - ['perturb_5fprepare_5foutput',['perturb_prepare_output',['../perturbations_8c.html#a6030d94fa0132ba4aec2d0c1c8e0c8cc',1,'perturbations.c']]], - ['perturb_5fprint_5fvariables',['perturb_print_variables',['../perturbations_8c.html#a7102d2605e166f2f2eaf5518aeab79fc',1,'perturbations.c']]], - ['perturb_5fsolve',['perturb_solve',['../perturbations_8c.html#afb08128eaf97711c39a1c6b03de9d0c1',1,'perturbations.c']]], - ['perturb_5fsources',['perturb_sources',['../perturbations_8c.html#a846b00583c952e1d772d40e42bd38628',1,'perturbations.c']]], - ['perturb_5fsources_5fat_5ftau',['perturb_sources_at_tau',['../perturbations_8c.html#a6ff67e40c37f87b0bb60e31384c8d2f3',1,'perturbations.c']]], - ['perturb_5ftca_5fslip_5fand_5fshear',['perturb_tca_slip_and_shear',['../perturbations_8c.html#a2767b1841cc9aab30957347853d8db6d',1,'perturbations.c']]], - ['perturb_5ftimesampling_5ffor_5fsources',['perturb_timesampling_for_sources',['../perturbations_8c.html#a137c582541759d0b3b1e19c2cce403af',1,'perturbations.c']]], - ['perturb_5ftimescale',['perturb_timescale',['../perturbations_8c.html#ac25f59a7fd0f4f7eb58c5c2c4620eac6',1,'perturbations.c']]], - ['perturb_5ftotal_5fstress_5fenergy',['perturb_total_stress_energy',['../perturbations_8c.html#a11f17fb88c32d9cadae8b74efac77b01',1,'perturbations.c']]], - ['perturb_5fvector_5ffree',['perturb_vector_free',['../perturbations_8c.html#a640847cb9e0000f9556404ac7d0a49e8',1,'perturbations.c']]], - ['perturb_5fvector_5finit',['perturb_vector_init',['../perturbations_8c.html#af24f3c293aed6612641ff4f6bac63994',1,'perturbations.c']]], - ['perturb_5fworkspace_5ffree',['perturb_workspace_free',['../perturbations_8c.html#a22780c266a622dbfd79041206ebfcd2b',1,'perturbations.c']]], - ['perturb_5fworkspace_5finit',['perturb_workspace_init',['../perturbations_8c.html#a0133b10254da8e7e291758beeb2dbd1a',1,'perturbations.c']]], - ['primordial_5fanalytic_5fspectrum',['primordial_analytic_spectrum',['../primordial_8c.html#ac1c10cc04ed3b0932fc2d97ad8b989bb',1,'primordial.c']]], - ['primordial_5fanalytic_5fspectrum_5finit',['primordial_analytic_spectrum_init',['../primordial_8c.html#a652f3a92c6d20a900491328f877d055b',1,'primordial.c']]], - ['primordial_5fexternal_5fspectrum_5finit',['primordial_external_spectrum_init',['../primordial_8c.html#a218f0e59a88b1082047a3dee4d28e9ab',1,'primordial.c']]], - ['primordial_5ffree',['primordial_free',['../primordial_8c.html#a0738267288f804baecaabf57d018dd4c',1,'primordial.c']]], - ['primordial_5fget_5flnk_5flist',['primordial_get_lnk_list',['../primordial_8c.html#a38d4688b9514a9a2aa2ef5aee3fe62cd',1,'primordial.c']]], - ['primordial_5findices',['primordial_indices',['../primordial_8c.html#a7117826e79516d8c79ab8922355b5aa3',1,'primordial.c']]], - ['primordial_5finflation_5fanalytic_5fspectra',['primordial_inflation_analytic_spectra',['../primordial_8c.html#a743507d4ef8cbea8c9c9e2fd51636e6a',1,'primordial.c']]], - ['primordial_5finflation_5fcheck_5fhubble',['primordial_inflation_check_hubble',['../primordial_8c.html#a259f83136df5d84895754b5169edfdc5',1,'primordial.c']]], - ['primordial_5finflation_5fcheck_5fpotential',['primordial_inflation_check_potential',['../primordial_8c.html#a24385b8d50b9d5661039351baf531607',1,'primordial.c']]], - ['primordial_5finflation_5fderivs',['primordial_inflation_derivs',['../primordial_8c.html#afa97aa27a9de9350d2829c879b4168ea',1,'primordial.c']]], - ['primordial_5finflation_5fevolve_5fbackground',['primordial_inflation_evolve_background',['../primordial_8c.html#abd4b8ec84574311163b24823024815b8',1,'primordial.c']]], - ['primordial_5finflation_5ffind_5fattractor',['primordial_inflation_find_attractor',['../primordial_8c.html#a173b299e7b40569977b0ccede10a1fbc',1,'primordial.c']]], - ['primordial_5finflation_5ffind_5fphi_5fpivot',['primordial_inflation_find_phi_pivot',['../primordial_8c.html#a3d866f6ad82b89050f34eec39a0b96e5',1,'primordial.c']]], - ['primordial_5finflation_5fget_5fepsilon',['primordial_inflation_get_epsilon',['../primordial_8c.html#ad99785737e2ec78af27ce4dd439fbb5c',1,'primordial.c']]], - ['primordial_5finflation_5fhubble',['primordial_inflation_hubble',['../primordial_8c.html#a884818587359180f98cab9742f58899f',1,'primordial.c']]], - ['primordial_5finflation_5findices',['primordial_inflation_indices',['../primordial_8c.html#a9f144634e4373a40a263f190dae90a83',1,'primordial.c']]], - ['primordial_5finflation_5fone_5fk',['primordial_inflation_one_k',['../primordial_8c.html#a2408dcaf0938b29fdaf753aa58389a42',1,'primordial.c']]], - ['primordial_5finflation_5fone_5fwavenumber',['primordial_inflation_one_wavenumber',['../primordial_8c.html#a61066bb489330ba565bc2123f1ed6171',1,'primordial.c']]], - ['primordial_5finflation_5fpotential',['primordial_inflation_potential',['../primordial_8c.html#aed3af8386f2563c08d5f9335da4fe4a6',1,'primordial.c']]], - ['primordial_5finflation_5fsolve_5finflation',['primordial_inflation_solve_inflation',['../primordial_8c.html#add085c0441ad0e2ae2cafdedd6179415',1,'primordial.c']]], - ['primordial_5finflation_5fspectra',['primordial_inflation_spectra',['../primordial_8c.html#aec9eed8de0b113845b4682fa2293fbf0',1,'primordial.c']]], - ['primordial_5finit',['primordial_init',['../primordial_8c.html#aa8514e84606dae204881c26add8347fd',1,'primordial.c']]], - ['primordial_5fspectrum_5fat_5fk',['primordial_spectrum_at_k',['../primordial_8c.html#a89f883182d64a767893f44af3cc76156',1,'primordial.c']]] -]; diff --git a/doc/manual/html/search/functions_8.html b/doc/manual/html/search/functions_8.html deleted file mode 100644 index b55f0e65..00000000 --- a/doc/manual/html/search/functions_8.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_8.js b/doc/manual/html/search/functions_8.js deleted file mode 100644 index 80e37671..00000000 --- a/doc/manual/html/search/functions_8.js +++ /dev/null @@ -1,21 +0,0 @@ -var searchData= -[ - ['spectra_5fcl_5fat_5fl',['spectra_cl_at_l',['../spectra_8c.html#a474a08a4d11642f6e688524556442909',1,'spectra.c']]], - ['spectra_5fcls',['spectra_cls',['../spectra_8c.html#aff413243f74650e6eba56225ef30fb81',1,'spectra.c']]], - ['spectra_5fcompute_5fcl',['spectra_compute_cl',['../spectra_8c.html#a202211a45920a13d8f0f0d545e45b226',1,'spectra.c']]], - ['spectra_5ffast_5fpk_5fat_5fkvec_5fand_5fzvec',['spectra_fast_pk_at_kvec_and_zvec',['../spectra_8c.html#ac729eace6e5ce72dffea9090fb94f9e2',1,'spectra.c']]], - ['spectra_5ffree',['spectra_free',['../spectra_8c.html#acbfeac6ad88fa757677b47d76722aec3',1,'spectra.c']]], - ['spectra_5findices',['spectra_indices',['../spectra_8c.html#ab9a34eea930c566c6b47cc79da887853',1,'spectra.c']]], - ['spectra_5finit',['spectra_init',['../spectra_8c.html#a192c3cc36d17f276ed7b5d7e485e70f1',1,'spectra.c']]], - ['spectra_5fk_5fand_5ftau',['spectra_k_and_tau',['../spectra_8c.html#a80e1413144a57366bbf279a2ae6a0028',1,'spectra.c']]], - ['spectra_5fmatter_5ftransfers',['spectra_matter_transfers',['../spectra_8c.html#a5c100c52fd6479fee1c477d9fd841f28',1,'spectra.c']]], - ['spectra_5foutput_5ftk_5fdata',['spectra_output_tk_data',['../spectra_8c.html#a4cf287a8b3796656614e40b9132f1176',1,'spectra.c']]], - ['spectra_5fpk',['spectra_pk',['../spectra_8c.html#a1a6dd87098ad3da12ff3a685a6e32010',1,'spectra.c']]], - ['spectra_5fpk_5fat_5fk_5fand_5fz',['spectra_pk_at_k_and_z',['../spectra_8c.html#abbacb8b60693f02f2f0e37fd76c6bdcb',1,'spectra.c']]], - ['spectra_5fpk_5fat_5fz',['spectra_pk_at_z',['../spectra_8c.html#a3a628fdd2920efe84eb4343525e4c23c',1,'spectra.c']]], - ['spectra_5fpk_5fnl_5fat_5fk_5fand_5fz',['spectra_pk_nl_at_k_and_z',['../spectra_8c.html#a0e6c6722e9cfa606803aa637fb126d34',1,'spectra.c']]], - ['spectra_5fpk_5fnl_5fat_5fz',['spectra_pk_nl_at_z',['../spectra_8c.html#a459a1ded2ca25cd5d1e4e315bdd1175a',1,'spectra.c']]], - ['spectra_5fsigma',['spectra_sigma',['../spectra_8c.html#aad251bcc29d8eee1448d01e30260eb4a',1,'spectra.c']]], - ['spectra_5ftk_5fat_5fk_5fand_5fz',['spectra_tk_at_k_and_z',['../spectra_8c.html#a99c7fafb33b166530fc1a9206feb453f',1,'spectra.c']]], - ['spectra_5ftk_5fat_5fz',['spectra_tk_at_z',['../spectra_8c.html#ab59220fbc82fe2fa2997105af4d68187',1,'spectra.c']]] -]; diff --git a/doc/manual/html/search/functions_9.html b/doc/manual/html/search/functions_9.html deleted file mode 100644 index c73f07bb..00000000 --- a/doc/manual/html/search/functions_9.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_9.js b/doc/manual/html/search/functions_9.js deleted file mode 100644 index 29c11adc..00000000 --- a/doc/manual/html/search/functions_9.js +++ /dev/null @@ -1,44 +0,0 @@ -var searchData= -[ - ['thermodynamics_5fat_5fz',['thermodynamics_at_z',['../thermodynamics_8c.html#a5763e8991ba30efe92c3007d1abfee95',1,'thermodynamics.c']]], - ['thermodynamics_5fderivs_5fwith_5frecfast',['thermodynamics_derivs_with_recfast',['../thermodynamics_8c.html#a00dc65dc088eabe075227c673f091297',1,'thermodynamics.c']]], - ['thermodynamics_5fenergy_5finjection',['thermodynamics_energy_injection',['../thermodynamics_8c.html#ad83c9423d4031f0f3797afb6ff2e33b5',1,'thermodynamics.c']]], - ['thermodynamics_5ffree',['thermodynamics_free',['../thermodynamics_8c.html#a689045596045ab02bb1853298d81f634',1,'thermodynamics.c']]], - ['thermodynamics_5fget_5fxe_5fbefore_5freionization',['thermodynamics_get_xe_before_reionization',['../thermodynamics_8c.html#a81120dad31dd155c4c3eaca36da53080',1,'thermodynamics.c']]], - ['thermodynamics_5fhelium_5ffrom_5fbbn',['thermodynamics_helium_from_bbn',['../thermodynamics_8c.html#aa99e8a0f968b10a07df134c51011ed2e',1,'thermodynamics.c']]], - ['thermodynamics_5findices',['thermodynamics_indices',['../thermodynamics_8c.html#a8fff80fda27805f33d1f3deaf9f90cce',1,'thermodynamics.c']]], - ['thermodynamics_5finit',['thermodynamics_init',['../thermodynamics_8c.html#a1acbfae38edb0c73d8991645f89b2d13',1,'thermodynamics.c']]], - ['thermodynamics_5fmerge_5freco_5fand_5freio',['thermodynamics_merge_reco_and_reio',['../thermodynamics_8c.html#a49f9b949c30411585549b523d2033089',1,'thermodynamics.c']]], - ['thermodynamics_5fonthespot_5fenergy_5finjection',['thermodynamics_onthespot_energy_injection',['../thermodynamics_8c.html#a7f1a04c6e4b080dbbe2855969e16eb25',1,'thermodynamics.c']]], - ['thermodynamics_5foutput_5ftitles',['thermodynamics_output_titles',['../thermodynamics_8c.html#a4f8b2bc131699db3ff7e2b9c14dfe940',1,'thermodynamics.c']]], - ['thermodynamics_5frecombination',['thermodynamics_recombination',['../thermodynamics_8c.html#a13696727ba92af10edfed3ebf8c43a8a',1,'thermodynamics.c']]], - ['thermodynamics_5frecombination_5fwith_5fhyrec',['thermodynamics_recombination_with_hyrec',['../thermodynamics_8c.html#a3bddca88ed8e4de96ef783710739b2e6',1,'thermodynamics.c']]], - ['thermodynamics_5frecombination_5fwith_5frecfast',['thermodynamics_recombination_with_recfast',['../thermodynamics_8c.html#ab7d2c22e2a933156c291bfa467731ab2',1,'thermodynamics.c']]], - ['thermodynamics_5freionization',['thermodynamics_reionization',['../thermodynamics_8c.html#aa8e6b48cadc0a989b729fa624e1d61b3',1,'thermodynamics.c']]], - ['thermodynamics_5freionization_5ffunction',['thermodynamics_reionization_function',['../thermodynamics_8c.html#a2c452e9b63299d65eaabe2065bfbb8a8',1,'thermodynamics.c']]], - ['thermodynamics_5freionization_5fsample',['thermodynamics_reionization_sample',['../thermodynamics_8c.html#a056862f1b2d37b8408ab7fdde116968f',1,'thermodynamics.c']]], - ['transfer_5fcompute_5ffor_5feach_5fl',['transfer_compute_for_each_l',['../transfer_8c.html#a0fcf8cc8e561263cdc2d3d39cebd9a5d',1,'transfer.c']]], - ['transfer_5fcompute_5ffor_5feach_5fq',['transfer_compute_for_each_q',['../transfer_8c.html#aa0790ada9b74ac2325edc23a68eb1f72',1,'transfer.c']]], - ['transfer_5fdndz_5fanalytic',['transfer_dNdz_analytic',['../transfer_8c.html#afe1acfe299e7d241e2db5d089db70ca0',1,'transfer.c']]], - ['transfer_5ffree',['transfer_free',['../transfer_8c.html#a6debba506b0d424b93b56b8767656d07',1,'transfer.c']]], - ['transfer_5ffunctions_5fat_5fq',['transfer_functions_at_q',['../transfer_8c.html#a226ea453047ad9f9b4baa8527f9fefd1',1,'transfer.c']]], - ['transfer_5fget_5fk_5flist',['transfer_get_k_list',['../transfer_8c.html#ac3f0d949e2ef800f718c11fdd5c1354e',1,'transfer.c']]], - ['transfer_5fget_5fl_5flist',['transfer_get_l_list',['../transfer_8c.html#ad59d5c2a8ace2403d8375883482bbad5',1,'transfer.c']]], - ['transfer_5fget_5fq_5flist',['transfer_get_q_list',['../transfer_8c.html#a9d50cb722ee213f9c48a77df7ce85cd1',1,'transfer.c']]], - ['transfer_5fget_5fsource_5fcorrespondence',['transfer_get_source_correspondence',['../transfer_8c.html#ae3e81b8369f6de9bc2dc7b8c02e10ceb',1,'transfer.c']]], - ['transfer_5findices_5fof_5ftransfers',['transfer_indices_of_transfers',['../transfer_8c.html#a4ae4f487bf63b45198fda351e2c87696',1,'transfer.c']]], - ['transfer_5finit',['transfer_init',['../transfer_8c.html#a7ed9b28044b1e58d74494915b3ff5b10',1,'transfer.c']]], - ['transfer_5fintegrate',['transfer_integrate',['../transfer_8c.html#ad0fb04f4bb7b95408de7adbe9e6da505',1,'transfer.c']]], - ['transfer_5finterpolate_5fsources',['transfer_interpolate_sources',['../transfer_8c.html#ad966994d25435082cd027960de7ab356',1,'transfer.c']]], - ['transfer_5flensing_5fsampling',['transfer_lensing_sampling',['../transfer_8c.html#a6776393e90246342ec38f567323cbe68',1,'transfer.c']]], - ['transfer_5flimber',['transfer_limber',['../transfer_8c.html#abe288a49a5044b79cef9ea63123fe56b',1,'transfer.c']]], - ['transfer_5flimber2',['transfer_limber2',['../transfer_8c.html#a6ab33e807dff2fdbd878908f18fbb0c2',1,'transfer.c']]], - ['transfer_5flimber_5finterpolate',['transfer_limber_interpolate',['../transfer_8c.html#ac0b2d5188d0476ba4c1a6633c3278dfb',1,'transfer.c']]], - ['transfer_5fselection_5fcompute',['transfer_selection_compute',['../transfer_8c.html#a55cd5cd7416ec0013204f839da1326ef',1,'transfer.c']]], - ['transfer_5fselection_5ffunction',['transfer_selection_function',['../transfer_8c.html#a87c33899832bba51d62fbeef87a25fe0',1,'transfer.c']]], - ['transfer_5fselection_5fsampling',['transfer_selection_sampling',['../transfer_8c.html#a52265dbcef681f416e9a51d4477e268a',1,'transfer.c']]], - ['transfer_5fselection_5ftimes',['transfer_selection_times',['../transfer_8c.html#a2cc20b516c44760847dd4455633be1b9',1,'transfer.c']]], - ['transfer_5fsource_5fresample',['transfer_source_resample',['../transfer_8c.html#a94d64b8304fc2453d448c41716e8c89f',1,'transfer.c']]], - ['transfer_5fsource_5ftau_5fsize',['transfer_source_tau_size',['../transfer_8c.html#a5c9363d6dd2b5845bc8d41d5c7611d7a',1,'transfer.c']]], - ['transfer_5fsources',['transfer_sources',['../transfer_8c.html#a9b622143337865b857779564eefb2a7b',1,'transfer.c']]] -]; diff --git a/doc/manual/html/search/functions_a.html b/doc/manual/html/search/functions_a.html deleted file mode 100644 index f10ad638..00000000 --- a/doc/manual/html/search/functions_a.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/functions_a.js b/doc/manual/html/search/functions_a.js deleted file mode 100644 index b614023f..00000000 --- a/doc/manual/html/search/functions_a.js +++ /dev/null @@ -1,6 +0,0 @@ -var searchData= -[ - ['v_5fe_5fscf',['V_e_scf',['../background_8c.html#a0b67501d55c3db17771981743e2309e2',1,'background.c']]], - ['v_5fp_5fscf',['V_p_scf',['../background_8c.html#a9bd1bb8603145f86e8c57ad64a709931',1,'background.c']]], - ['v_5fscf',['V_scf',['../background_8c.html#aea9a32ebd60cc65e848e38cdd3ea6df5',1,'background.c']]] -]; diff --git a/doc/manual/html/search/mag_sel.png b/doc/manual/html/search/mag_sel.png deleted file mode 100644 index 81f6040a..00000000 Binary files a/doc/manual/html/search/mag_sel.png and /dev/null differ diff --git a/doc/manual/html/search/nomatches.html b/doc/manual/html/search/nomatches.html deleted file mode 100644 index b1ded27e..00000000 --- a/doc/manual/html/search/nomatches.html +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - -
    -
    No Matches
    -
    - - diff --git a/doc/manual/html/search/pages_0.html b/doc/manual/html/search/pages_0.html deleted file mode 100644 index 4955b9e4..00000000 --- a/doc/manual/html/search/pages_0.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/pages_0.js b/doc/manual/html/search/pages_0.js deleted file mode 100644 index d119f838..00000000 --- a/doc/manual/html/search/pages_0.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['class_3a_20cosmic_20linear_20anisotropy_20solving_20system',['CLASS: Cosmic Linear Anisotropy Solving System',['../index.html',1,'']]], - ['class_20overview_20_28architecture_2c_20input_2foutput_2c_20general_20principles_29',['CLASS overview (architecture, input/output, general principles)',['../md_chap3.html',1,'']]] -]; diff --git a/doc/manual/html/search/pages_1.html b/doc/manual/html/search/pages_1.html deleted file mode 100644 index aedb14ee..00000000 --- a/doc/manual/html/search/pages_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/pages_1.js b/doc/manual/html/search/pages_1.js deleted file mode 100644 index d9b2f062..00000000 --- a/doc/manual/html/search/pages_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['the_20_60external_5fpk_60_20mode',['The `external_Pk` mode',['../md__Users_lesgourg_OwnCloud_documents_codes_ClassProject_class_external_Pk_README.html',1,'']]] -]; diff --git a/doc/manual/html/search/pages_2.html b/doc/manual/html/search/pages_2.html deleted file mode 100644 index bd915939..00000000 --- a/doc/manual/html/search/pages_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/pages_2.js b/doc/manual/html/search/pages_2.js deleted file mode 100644 index 367514d4..00000000 --- a/doc/manual/html/search/pages_2.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['updating_20the_20manual',['Updating the manual',['../md_mod.html',1,'']]] -]; diff --git a/doc/manual/html/search/pages_3.html b/doc/manual/html/search/pages_3.html deleted file mode 100644 index bc0e37f2..00000000 --- a/doc/manual/html/search/pages_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/pages_3.js b/doc/manual/html/search/pages_3.js deleted file mode 100644 index 7eb4ad4c..00000000 --- a/doc/manual/html/search/pages_3.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['where_20to_20find_20information_20and_20documentation_20on_20class_3f',['Where to find information and documentation on CLASS?',['../md_chap2.html',1,'']]] -]; diff --git a/doc/manual/html/search/search.css b/doc/manual/html/search/search.css deleted file mode 100644 index 54b4542d..00000000 --- a/doc/manual/html/search/search.css +++ /dev/null @@ -1,271 +0,0 @@ -/*---------------- Search Box */ - -#FSearchBox { - float: left; -} - -#MSearchBox { - white-space : nowrap; - float: none; - margin-top: 8px; - right: 0px; - width: 170px; - height: 24px; - z-index: 102; -} - -#MSearchBox .left -{ - display:block; - position:absolute; - left:10px; - width:20px; - height:19px; - background:url('search_l.png') no-repeat; - background-position:right; -} - -#MSearchSelect { - display:block; - position:absolute; - width:20px; - height:19px; -} - -.left #MSearchSelect { - left:4px; -} - -.right #MSearchSelect { - right:5px; -} - -#MSearchField { - display:block; - position:absolute; - height:19px; - background:url('search_m.png') repeat-x; - border:none; - width:115px; - margin-left:20px; - padding-left:4px; - color: #909090; - outline: none; - font: 9pt Arial, Verdana, sans-serif; - -webkit-border-radius: 0px; -} - -#FSearchBox #MSearchField { - margin-left:15px; -} - -#MSearchBox .right { - display:block; - position:absolute; - right:10px; - top:8px; - width:20px; - height:19px; - background:url('search_r.png') no-repeat; - background-position:left; -} - -#MSearchClose { - display: none; - position: absolute; - top: 4px; - background : none; - border: none; - margin: 0px 4px 0px 0px; - padding: 0px 0px; - outline: none; -} - -.left #MSearchClose { - left: 6px; -} - -.right #MSearchClose { - right: 2px; -} - -.MSearchBoxActive #MSearchField { - color: #000000; -} - -/*---------------- Search filter selection */ - -#MSearchSelectWindow { - display: none; - position: absolute; - left: 0; top: 0; - border: 1px solid #6B98F4; - background-color: #F7F9FE; - z-index: 10001; - padding-top: 4px; - padding-bottom: 4px; - -moz-border-radius: 4px; - -webkit-border-top-left-radius: 4px; - -webkit-border-top-right-radius: 4px; - -webkit-border-bottom-left-radius: 4px; - -webkit-border-bottom-right-radius: 4px; - -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); -} - -.SelectItem { - font: 8pt Arial, Verdana, sans-serif; - padding-left: 2px; - padding-right: 12px; - border: 0px; -} - -span.SelectionMark { - margin-right: 4px; - font-family: monospace; - outline-style: none; - text-decoration: none; -} - -a.SelectItem { - display: block; - outline-style: none; - color: #000000; - text-decoration: none; - padding-left: 6px; - padding-right: 12px; -} - -a.SelectItem:focus, -a.SelectItem:active { - color: #000000; - outline-style: none; - text-decoration: none; -} - -a.SelectItem:hover { - color: #FFFFFF; - background-color: #0D47BB; - outline-style: none; - text-decoration: none; - cursor: pointer; - display: block; -} - -/*---------------- Search results window */ - -iframe#MSearchResults { - width: 60ex; - height: 15em; -} - -#MSearchResultsWindow { - display: none; - position: absolute; - left: 0; top: 0; - border: 1px solid #000; - background-color: #E8EFFD; - z-index:10000; -} - -/* ----------------------------------- */ - - -#SRIndex { - clear:both; - padding-bottom: 15px; -} - -.SREntry { - font-size: 10pt; - padding-left: 1ex; -} - -.SRPage .SREntry { - font-size: 8pt; - padding: 1px 5px; -} - -body.SRPage { - margin: 5px 2px; -} - -.SRChildren { - padding-left: 3ex; padding-bottom: .5em -} - -.SRPage .SRChildren { - display: none; -} - -.SRSymbol { - font-weight: bold; - color: #0E4DCA; - font-family: Arial, Verdana, sans-serif; - text-decoration: none; - outline: none; -} - -a.SRScope { - display: block; - color: #0E4DCA; - font-family: Arial, Verdana, sans-serif; - text-decoration: none; - outline: none; -} - -a.SRSymbol:focus, a.SRSymbol:active, -a.SRScope:focus, a.SRScope:active { - text-decoration: underline; -} - -span.SRScope { - padding-left: 4px; -} - -.SRPage .SRStatus { - padding: 2px 5px; - font-size: 8pt; - font-style: italic; -} - -.SRResult { - display: none; -} - -DIV.searchresults { - margin-left: 10px; - margin-right: 10px; -} - -/*---------------- External search page results */ - -.searchresult { - background-color: #EBF1FD; -} - -.pages b { - color: white; - padding: 5px 5px 3px 5px; - background-image: url("../tab_a.png"); - background-repeat: repeat-x; - text-shadow: 0 1px 1px #000000; -} - -.pages { - line-height: 17px; - margin-left: 4px; - text-decoration: none; -} - -.hl { - font-weight: bold; -} - -#searchresults { - margin-bottom: 20px; -} - -.searchpages { - margin-top: 10px; -} - diff --git a/doc/manual/html/search/search.js b/doc/manual/html/search/search.js deleted file mode 100644 index dedce3bf..00000000 --- a/doc/manual/html/search/search.js +++ /dev/null @@ -1,791 +0,0 @@ -function convertToId(search) -{ - var result = ''; - for (i=0;i do a search - { - this.Search(); - } - } - - this.OnSearchSelectKey = function(evt) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==40 && this.searchIndex0) // Up - { - this.searchIndex--; - this.OnSelectItem(this.searchIndex); - } - else if (e.keyCode==13 || e.keyCode==27) - { - this.OnSelectItem(this.searchIndex); - this.CloseSelectionWindow(); - this.DOMSearchField().focus(); - } - return false; - } - - // --------- Actions - - // Closes the results window. - this.CloseResultsWindow = function() - { - this.DOMPopupSearchResultsWindow().style.display = 'none'; - this.DOMSearchClose().style.display = 'none'; - this.Activate(false); - } - - this.CloseSelectionWindow = function() - { - this.DOMSearchSelectWindow().style.display = 'none'; - } - - // Performs a search. - this.Search = function() - { - this.keyTimeout = 0; - - // strip leading whitespace - var searchValue = this.DOMSearchField().value.replace(/^ +/, ""); - - var code = searchValue.toLowerCase().charCodeAt(0); - var idxChar = searchValue.substr(0, 1).toLowerCase(); - if ( 0xD800 <= code && code <= 0xDBFF && searchValue > 1) // surrogate pair - { - idxChar = searchValue.substr(0, 2); - } - - var resultsPage; - var resultsPageWithSearch; - var hasResultsPage; - - var idx = indexSectionsWithContent[this.searchIndex].indexOf(idxChar); - if (idx!=-1) - { - var hexCode=idx.toString(16); - resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html'; - resultsPageWithSearch = resultsPage+'?'+escape(searchValue); - hasResultsPage = true; - } - else // nothing available for this search term - { - resultsPage = this.resultsPath + '/nomatches.html'; - resultsPageWithSearch = resultsPage; - hasResultsPage = false; - } - - window.frames.MSearchResults.location = resultsPageWithSearch; - var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow(); - - if (domPopupSearchResultsWindow.style.display!='block') - { - var domSearchBox = this.DOMSearchBox(); - this.DOMSearchClose().style.display = 'inline'; - if (this.insideFrame) - { - var domPopupSearchResults = this.DOMPopupSearchResults(); - domPopupSearchResultsWindow.style.position = 'relative'; - domPopupSearchResultsWindow.style.display = 'block'; - var width = document.body.clientWidth - 8; // the -8 is for IE :-( - domPopupSearchResultsWindow.style.width = width + 'px'; - domPopupSearchResults.style.width = width + 'px'; - } - else - { - var domPopupSearchResults = this.DOMPopupSearchResults(); - var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth; - var top = getYPos(domSearchBox) + 20; // domSearchBox.offsetHeight + 1; - domPopupSearchResultsWindow.style.display = 'block'; - left -= domPopupSearchResults.offsetWidth; - domPopupSearchResultsWindow.style.top = top + 'px'; - domPopupSearchResultsWindow.style.left = left + 'px'; - } - } - - this.lastSearchValue = searchValue; - this.lastResultsPage = resultsPage; - } - - // -------- Activation Functions - - // Activates or deactivates the search panel, resetting things to - // their default values if necessary. - this.Activate = function(isActive) - { - if (isActive || // open it - this.DOMPopupSearchResultsWindow().style.display == 'block' - ) - { - this.DOMSearchBox().className = 'MSearchBoxActive'; - - var searchField = this.DOMSearchField(); - - if (searchField.value == this.searchLabel) // clear "Search" term upon entry - { - searchField.value = ''; - this.searchActive = true; - } - } - else if (!isActive) // directly remove the panel - { - this.DOMSearchBox().className = 'MSearchBoxInactive'; - this.DOMSearchField().value = this.searchLabel; - this.searchActive = false; - this.lastSearchValue = '' - this.lastResultsPage = ''; - } - } -} - -// ----------------------------------------------------------------------- - -// The class that handles everything on the search results page. -function SearchResults(name) -{ - // The number of matches from the last run of . - this.lastMatchCount = 0; - this.lastKey = 0; - this.repeatOn = false; - - // Toggles the visibility of the passed element ID. - this.FindChildElement = function(id) - { - var parentElement = document.getElementById(id); - var element = parentElement.firstChild; - - while (element && element!=parentElement) - { - if (element.nodeName == 'DIV' && element.className == 'SRChildren') - { - return element; - } - - if (element.nodeName == 'DIV' && element.hasChildNodes()) - { - element = element.firstChild; - } - else if (element.nextSibling) - { - element = element.nextSibling; - } - else - { - do - { - element = element.parentNode; - } - while (element && element!=parentElement && !element.nextSibling); - - if (element && element!=parentElement) - { - element = element.nextSibling; - } - } - } - } - - this.Toggle = function(id) - { - var element = this.FindChildElement(id); - if (element) - { - if (element.style.display == 'block') - { - element.style.display = 'none'; - } - else - { - element.style.display = 'block'; - } - } - } - - // Searches for the passed string. If there is no parameter, - // it takes it from the URL query. - // - // Always returns true, since other documents may try to call it - // and that may or may not be possible. - this.Search = function(search) - { - if (!search) // get search word from URL - { - search = window.location.search; - search = search.substring(1); // Remove the leading '?' - search = unescape(search); - } - - search = search.replace(/^ +/, ""); // strip leading spaces - search = search.replace(/ +$/, ""); // strip trailing spaces - search = search.toLowerCase(); - search = convertToId(search); - - var resultRows = document.getElementsByTagName("div"); - var matches = 0; - - var i = 0; - while (i < resultRows.length) - { - var row = resultRows.item(i); - if (row.className == "SRResult") - { - var rowMatchName = row.id.toLowerCase(); - rowMatchName = rowMatchName.replace(/^sr\d*_/, ''); // strip 'sr123_' - - if (search.length<=rowMatchName.length && - rowMatchName.substr(0, search.length)==search) - { - row.style.display = 'block'; - matches++; - } - else - { - row.style.display = 'none'; - } - } - i++; - } - document.getElementById("Searching").style.display='none'; - if (matches == 0) // no results - { - document.getElementById("NoMatches").style.display='block'; - } - else // at least one result - { - document.getElementById("NoMatches").style.display='none'; - } - this.lastMatchCount = matches; - return true; - } - - // return the first item with index index or higher that is visible - this.NavNext = function(index) - { - var focusItem; - while (1) - { - var focusName = 'Item'+index; - focusItem = document.getElementById(focusName); - if (focusItem && focusItem.parentNode.parentNode.style.display=='block') - { - break; - } - else if (!focusItem) // last element - { - break; - } - focusItem=null; - index++; - } - return focusItem; - } - - this.NavPrev = function(index) - { - var focusItem; - while (1) - { - var focusName = 'Item'+index; - focusItem = document.getElementById(focusName); - if (focusItem && focusItem.parentNode.parentNode.style.display=='block') - { - break; - } - else if (!focusItem) // last element - { - break; - } - focusItem=null; - index--; - } - return focusItem; - } - - this.ProcessKeys = function(e) - { - if (e.type == "keydown") - { - this.repeatOn = false; - this.lastKey = e.keyCode; - } - else if (e.type == "keypress") - { - if (!this.repeatOn) - { - if (this.lastKey) this.repeatOn = true; - return false; // ignore first keypress after keydown - } - } - else if (e.type == "keyup") - { - this.lastKey = 0; - this.repeatOn = false; - } - return this.lastKey!=0; - } - - this.Nav = function(evt,itemIndex) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==13) return true; - if (!this.ProcessKeys(e)) return false; - - if (this.lastKey==38) // Up - { - var newIndex = itemIndex-1; - var focusItem = this.NavPrev(newIndex); - if (focusItem) - { - var child = this.FindChildElement(focusItem.parentNode.parentNode.id); - if (child && child.style.display == 'block') // children visible - { - var n=0; - var tmpElem; - while (1) // search for last child - { - tmpElem = document.getElementById('Item'+newIndex+'_c'+n); - if (tmpElem) - { - focusItem = tmpElem; - } - else // found it! - { - break; - } - n++; - } - } - } - if (focusItem) - { - focusItem.focus(); - } - else // return focus to search field - { - parent.document.getElementById("MSearchField").focus(); - } - } - else if (this.lastKey==40) // Down - { - var newIndex = itemIndex+1; - var focusItem; - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem && elem.style.display == 'block') // children visible - { - focusItem = document.getElementById('Item'+itemIndex+'_c0'); - } - if (!focusItem) focusItem = this.NavNext(newIndex); - if (focusItem) focusItem.focus(); - } - else if (this.lastKey==39) // Right - { - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem) elem.style.display = 'block'; - } - else if (this.lastKey==37) // Left - { - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem) elem.style.display = 'none'; - } - else if (this.lastKey==27) // Escape - { - parent.searchBox.CloseResultsWindow(); - parent.document.getElementById("MSearchField").focus(); - } - else if (this.lastKey==13) // Enter - { - return true; - } - return false; - } - - this.NavChild = function(evt,itemIndex,childIndex) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==13) return true; - if (!this.ProcessKeys(e)) return false; - - if (this.lastKey==38) // Up - { - if (childIndex>0) - { - var newIndex = childIndex-1; - document.getElementById('Item'+itemIndex+'_c'+newIndex).focus(); - } - else // already at first child, jump to parent - { - document.getElementById('Item'+itemIndex).focus(); - } - } - else if (this.lastKey==40) // Down - { - var newIndex = childIndex+1; - var elem = document.getElementById('Item'+itemIndex+'_c'+newIndex); - if (!elem) // last child, jump to parent next parent - { - elem = this.NavNext(itemIndex+1); - } - if (elem) - { - elem.focus(); - } - } - else if (this.lastKey==27) // Escape - { - parent.searchBox.CloseResultsWindow(); - parent.document.getElementById("MSearchField").focus(); - } - else if (this.lastKey==13) // Enter - { - return true; - } - return false; - } -} - -function setKeyActions(elem,action) -{ - elem.setAttribute('onkeydown',action); - elem.setAttribute('onkeypress',action); - elem.setAttribute('onkeyup',action); -} - -function setClassAttr(elem,attr) -{ - elem.setAttribute('class',attr); - elem.setAttribute('className',attr); -} - -function createResults() -{ - var results = document.getElementById("SRResults"); - for (var e=0; e - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_0.js b/doc/manual/html/search/variables_0.js deleted file mode 100644 index dd0d4df2..00000000 --- a/doc/manual/html/search/variables_0.js +++ /dev/null @@ -1,52 +0,0 @@ -var searchData= -[ - ['a_5feq',['a_eq',['../background_8h.html#aa0ad2aa08ed53a47ca0b44a65bff6870',1,'background']]], - ['a_5fini_5fover_5fa_5ftoday_5fdefault',['a_ini_over_a_today_default',['../common_8h.html#aad54dc307fbda7514b045d1bb75a174a',1,'precision']]], - ['a_5fs',['A_s',['../primordial_8h.html#aa0f16cc1899ef595fff193fee7639933',1,'primordial']]], - ['a_5ftoday',['a_today',['../background_8h.html#a383ea35b2eda4f1849b9be48048344e5',1,'background']]], - ['accurate_5flensing',['accurate_lensing',['../common_8h.html#a68db439b8c6c4f86e6ed4bddf622048a',1,'precision']]], - ['age',['age',['../background_8h.html#a369a4c5c388a06aa9fc7b348fa07a898',1,'background']]], - ['alpha_5fad_5fbi',['alpha_ad_bi',['../primordial_8h.html#ad84cf6ba7780ecdd8d2897e744a4c5af',1,'primordial']]], - ['alpha_5fad_5fcdi',['alpha_ad_cdi',['../primordial_8h.html#a73831eccc087d87cea84f9773d03cbf3',1,'primordial']]], - ['alpha_5fad_5fnid',['alpha_ad_nid',['../primordial_8h.html#aec6a8de0d365cf9f47402ce1285af809',1,'primordial']]], - ['alpha_5fad_5fniv',['alpha_ad_niv',['../primordial_8h.html#a3e37a5d49f1a0aff540d72454d7d5a30',1,'primordial']]], - ['alpha_5fbi',['alpha_bi',['../primordial_8h.html#a16ffcc69dd37cf5167f7fa6329b58cac',1,'primordial']]], - ['alpha_5fbi_5fcdi',['alpha_bi_cdi',['../primordial_8h.html#a2f075d7ce415d2efe2f7028f6bb9c938',1,'primordial']]], - ['alpha_5fbi_5fnid',['alpha_bi_nid',['../primordial_8h.html#afd6a3d4ca1710a29ecb3d0d062faf246',1,'primordial']]], - ['alpha_5fbi_5fniv',['alpha_bi_niv',['../primordial_8h.html#add13ba7b464ee067fe3f403868d66df9',1,'primordial']]], - ['alpha_5fcdi',['alpha_cdi',['../primordial_8h.html#a0b6a8e9202de3a571560a179f056e0de',1,'primordial']]], - ['alpha_5fcdi_5fnid',['alpha_cdi_nid',['../primordial_8h.html#acef1fa2e94fa30edbcb4d702c06c0b89',1,'primordial']]], - ['alpha_5fcdi_5fniv',['alpha_cdi_niv',['../primordial_8h.html#abd125a9a9487780ea7b4d5520bca47e5',1,'primordial']]], - ['alpha_5fii_5f201_5f2500',['alpha_II_201_2500',['../spectra_8h.html#aa1ddedcb319bc95943715d815bf16f99',1,'spectra']]], - ['alpha_5fii_5f21_5f200',['alpha_II_21_200',['../spectra_8h.html#a39464a2bc81215af9b96b638c8bbdcdc',1,'spectra']]], - ['alpha_5fii_5f2_5f20',['alpha_II_2_20',['../spectra_8h.html#a1f4f455ce01dbf67303d5b241d481486',1,'spectra']]], - ['alpha_5fii_5f2_5f2500',['alpha_II_2_2500',['../spectra_8h.html#aa4c9d3a59c59461531006a0860e67611',1,'spectra']]], - ['alpha_5fk1',['alpha_k1',['../spectra_8h.html#abdf1df0f03ba826bf885214480cdb65f',1,'spectra']]], - ['alpha_5fk2',['alpha_k2',['../spectra_8h.html#a16521887ee890f6d502e30c2e98a363b',1,'spectra']]], - ['alpha_5fkp',['alpha_kp',['../spectra_8h.html#afabd0ffd8dcfeaf6291cf19ae90dabf7',1,'spectra']]], - ['alpha_5fnid',['alpha_nid',['../primordial_8h.html#aa1fcdb57674b99b5b441a268dd4ab719',1,'primordial']]], - ['alpha_5fnid_5fniv',['alpha_nid_niv',['../primordial_8h.html#a30900c0eb8257e9987c9cbfbd3e43039',1,'primordial']]], - ['alpha_5fniv',['alpha_niv',['../primordial_8h.html#ad7aa04967d7fab6e374c42c3163780a6',1,'primordial']]], - ['alpha_5fri_5f201_5f2500',['alpha_RI_201_2500',['../spectra_8h.html#a016a7253aa6c532a95b8cffec367694b',1,'spectra']]], - ['alpha_5fri_5f21_5f200',['alpha_RI_21_200',['../spectra_8h.html#a8162e028bb6037b6a585c2822b7221b8',1,'spectra']]], - ['alpha_5fri_5f2_5f20',['alpha_RI_2_20',['../spectra_8h.html#ad5052944a7d98cf5c23ed39c89c441cd',1,'spectra']]], - ['alpha_5fri_5f2_5f2500',['alpha_RI_2_2500',['../spectra_8h.html#afbf6ec0b5ac12efeaa2544b0726f24c1',1,'spectra']]], - ['alpha_5frr_5f201_5f2500',['alpha_RR_201_2500',['../spectra_8h.html#ae415a068bcc1caa9820e9c214707fff2',1,'spectra']]], - ['alpha_5frr_5f21_5f200',['alpha_RR_21_200',['../spectra_8h.html#adfc8ae68109aa299e4141f0ab597d431',1,'spectra']]], - ['alpha_5frr_5f2_5f20',['alpha_RR_2_20',['../spectra_8h.html#aa467d70f560adcabbd0f589f40a242c8',1,'spectra']]], - ['alpha_5frr_5f2_5f2500',['alpha_RR_2_2500',['../spectra_8h.html#a82a56f7919678728f1a9b695deabc104',1,'spectra']]], - ['alpha_5fs',['alpha_s',['../primordial_8h.html#a39ec328f426b9c2106552891ff6556a2',1,'primordial']]], - ['alpha_5ft',['alpha_t',['../primordial_8h.html#a363c64dd8659db8e52aaf175cf55b1fb',1,'primordial']]], - ['amplitude',['amplitude',['../primordial_8h.html#a9630a4e6af1b9914fa70faebb1595bc0',1,'primordial']]], - ['angular_5frescaling',['angular_rescaling',['../thermodynamics_8h.html#aff24e182af74c2aba44ebd261c439a30',1,'thermo::angular_rescaling()'],['../transfer_8h.html#ae6b712f4da87f45c21db8f4a4c05d7fa',1,'transfers::angular_rescaling()']]], - ['annihilation',['annihilation',['../thermodynamics_8h.html#ae415dbb7614aa005deb5517d6f0548e3',1,'thermo::annihilation()'],['../thermodynamics_8h.html#a8c70a5cdc49ece851c63fedcf97a1c80',1,'recombination::annihilation()']]], - ['annihilation_5ff_5fhalo',['annihilation_f_halo',['../thermodynamics_8h.html#acd516b6887613e52e9ebc3d2616e5b70',1,'thermo::annihilation_f_halo()'],['../thermodynamics_8h.html#a1ffa8b3a0310bbc9a33d6a3e5ecff09a',1,'recombination::annihilation_f_halo()']]], - ['annihilation_5fvariation',['annihilation_variation',['../thermodynamics_8h.html#ae8ad0e0cfdc0249cafd89c117cf17274',1,'thermo::annihilation_variation()'],['../thermodynamics_8h.html#a688ab202ff8f75f450ca8a801e9ed073',1,'recombination::annihilation_variation()']]], - ['annihilation_5fz',['annihilation_z',['../thermodynamics_8h.html#ac28c28a96161d9cd5de79197c37453bc',1,'thermo::annihilation_z()'],['../thermodynamics_8h.html#ab4938be084697ba35a0d0dbe7f5bbda5',1,'recombination::annihilation_z()']]], - ['annihilation_5fz_5fhalo',['annihilation_z_halo',['../thermodynamics_8h.html#a64f8f97a949b86579bdc382a3ab5ae6c',1,'thermo::annihilation_z_halo()'],['../thermodynamics_8h.html#a694755b3b5b6e2755ef70251335ba276',1,'recombination::annihilation_z_halo()']]], - ['annihilation_5fzmax',['annihilation_zmax',['../thermodynamics_8h.html#a2f3af4a2725b9a48ea5978319e6ab05a',1,'thermo::annihilation_zmax()'],['../thermodynamics_8h.html#aaf316776a09b6e67740eeb0c0fee7a9f',1,'recombination::annihilation_zmax()']]], - ['annihilation_5fzmin',['annihilation_zmin',['../thermodynamics_8h.html#ac05844feb6dd9b8f8b23913fe00e5f77',1,'thermo::annihilation_zmin()'],['../thermodynamics_8h.html#a5c7c0f6e0a8f2757134337dc90ba1569',1,'recombination::annihilation_zmin()']]], - ['ap_5fsize',['ap_size',['../perturbations_8h.html#a050a117be6aa873a44c029a6f5a484e2',1,'perturb_workspace']]], - ['approx',['approx',['../perturbations_8h.html#a8ac1b55117b14d0530bc6789f2815fc0',1,'perturb_workspace']]], - ['attractor_5fic_5fscf',['attractor_ic_scf',['../background_8h.html#a1fffc38240bd5969bfab7fd8319aaa91',1,'background']]] -]; diff --git a/doc/manual/html/search/variables_1.html b/doc/manual/html/search/variables_1.html deleted file mode 100644 index 84237b6e..00000000 --- a/doc/manual/html/search/variables_1.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_1.js b/doc/manual/html/search/variables_1.js deleted file mode 100644 index dfd00583..00000000 --- a/doc/manual/html/search/variables_1.js +++ /dev/null @@ -1,19 +0,0 @@ -var searchData= -[ - ['back_5fintegration_5fstepsize',['back_integration_stepsize',['../common_8h.html#ac356ae1b7e53af98eadb495a3b299a38',1,'precision']]], - ['background_5ftable',['background_table',['../background_8h.html#aa3b9601706d7f9f46f4ff460591e7ade',1,'background']]], - ['background_5fverbose',['background_verbose',['../background_8h.html#a76e7e8bb2e0a7e4910de61772b459fdc',1,'background']]], - ['behavior',['behavior',['../primordial_8h.html#ab464fedeeee3046d56ab92e193e9d5fb',1,'primordial']]], - ['beta_5fs',['beta_s',['../primordial_8h.html#ac78506262298c09f9f3caa8921dae17f',1,'primordial']]], - ['bfact',['Bfact',['../thermodynamics_8h.html#a40ba237a0441fef9248e37868e7f71ca',1,'recombination']]], - ['bg_5fsize',['bg_size',['../background_8h.html#a130359e1d60e308dae630ebee2332b81',1,'background']]], - ['bg_5fsize_5fnormal',['bg_size_normal',['../background_8h.html#a651b3fd365f5cceb9af3bd39d9c85e11',1,'background']]], - ['bg_5fsize_5fshort',['bg_size_short',['../background_8h.html#a5cbff7da365e1362a7d20f11d6c7043d',1,'background']]], - ['bi_5fb_5fsize',['bi_B_size',['../background_8h.html#abd6b3cff248235abb658f0ab90b6c712',1,'background']]], - ['bi_5fsize',['bi_size',['../background_8h.html#a738e597f277f45470000979f9cb360f4',1,'background']]], - ['binned_5freio_5fnum',['binned_reio_num',['../thermodynamics_8h.html#a5f115357a3c951feb221fe195a0e3a84',1,'thermo']]], - ['binned_5freio_5fstep_5fsharpness',['binned_reio_step_sharpness',['../thermodynamics_8h.html#a8059572ea77e901114e2a617cd31c8e7',1,'thermo']]], - ['binned_5freio_5fxe',['binned_reio_xe',['../thermodynamics_8h.html#a502646184962388167cc9e77f6318f2a',1,'thermo']]], - ['binned_5freio_5fz',['binned_reio_z',['../thermodynamics_8h.html#a88cd6b43f9f3ec6251d087324ce99a0f',1,'thermo']]], - ['bt_5fsize',['bt_size',['../background_8h.html#aa44b240483b9a5d173cfcde81340c733',1,'background']]] -]; diff --git a/doc/manual/html/search/variables_10.html b/doc/manual/html/search/variables_10.html deleted file mode 100644 index 548ac843..00000000 --- a/doc/manual/html/search/variables_10.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_10.js b/doc/manual/html/search/variables_10.js deleted file mode 100644 index 780e558f..00000000 --- a/doc/manual/html/search/variables_10.js +++ /dev/null @@ -1,66 +0,0 @@ -var searchData= -[ - ['r',['r',['../primordial_8h.html#acbf7275d9770757fd9f0c81b6d87a62f',1,'primordial']]], - ['ra_5frec',['ra_rec',['../thermodynamics_8h.html#a5012fed08730754d19a0b748f5904bd2',1,'thermo']]], - ['radiation_5fstreaming_5fapproximation',['radiation_streaming_approximation',['../common_8h.html#a86e61a89341bae5d84249ced0d2670bf',1,'precision']]], - ['radiation_5fstreaming_5ftrigger_5ftau_5fc_5fover_5ftau',['radiation_streaming_trigger_tau_c_over_tau',['../common_8h.html#a836edca74feaf881aaece2c3ea9a7046',1,'precision']]], - ['radiation_5fstreaming_5ftrigger_5ftau_5fover_5ftau_5fk',['radiation_streaming_trigger_tau_over_tau_k',['../common_8h.html#a70be98231733bf02a15e1a27fa15a7c4',1,'precision']]], - ['rd_5frec',['rd_rec',['../thermodynamics_8h.html#ac4ff58ec97d05ed2f0fe09e6a6d9d7f0',1,'thermo']]], - ['re_5fsize',['re_size',['../thermodynamics_8h.html#a9367b1aedf6f36715ff227cd4ce8ee05',1,'recombination::re_size()'],['../thermodynamics_8h.html#af689627b42e1f4851fff7e20bb5a8ad2',1,'reionization::re_size()']]], - ['recfast_5fagauss1',['recfast_AGauss1',['../common_8h.html#a5e3afcd2c33645568a7552e37799e6ca',1,'precision']]], - ['recfast_5fagauss2',['recfast_AGauss2',['../common_8h.html#a4a07b656500992c88780f6af63f98e66',1,'precision']]], - ['recfast_5fdelta_5ffudge_5fh',['recfast_delta_fudge_H',['../common_8h.html#abff0c7d09550d634ef93c4be63e44a7b',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f1',['recfast_delta_z_He_1',['../common_8h.html#a6f83df79296e559842318b4894c55102',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f2',['recfast_delta_z_He_2',['../common_8h.html#a0b99b63be9c59286f4afae6ab8e963f0',1,'precision']]], - ['recfast_5fdelta_5fz_5fhe_5f3',['recfast_delta_z_He_3',['../common_8h.html#a3426ca473df3dcd4cb7005a57ad58d64',1,'precision']]], - ['recfast_5ffudge_5fh',['recfast_fudge_H',['../common_8h.html#ac2b62878fb26a5f2f32f7edba5ba4c65',1,'precision']]], - ['recfast_5ffudge_5fhe',['recfast_fudge_He',['../common_8h.html#a6c07e19d381f030b6368f06f5680d265',1,'precision']]], - ['recfast_5fh_5ffrac',['recfast_H_frac',['../common_8h.html#ac74ae582d36b809d49ae1e385951f51e',1,'precision']]], - ['recfast_5fheswitch',['recfast_Heswitch',['../common_8h.html#a4aa431d63bf3196c102c90bcb596ca9e',1,'precision']]], - ['recfast_5fhswitch',['recfast_Hswitch',['../common_8h.html#a497b4cbf0c90c3ed4e29a419bbe6498d',1,'precision']]], - ['recfast_5fnz0',['recfast_Nz0',['../common_8h.html#a1f9b23047c7f4c44b63cca8f0edbf019',1,'precision']]], - ['recfast_5fwgauss1',['recfast_wGauss1',['../common_8h.html#a6a61bf75aa641053eab06a1247078d74',1,'precision']]], - ['recfast_5fwgauss2',['recfast_wGauss2',['../common_8h.html#a5a779464a1ef26f995dae24093c76bde',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger',['recfast_x_H0_trigger',['../common_8h.html#a281ad75dd6a1546ad08ec87d5027642e',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger2',['recfast_x_H0_trigger2',['../common_8h.html#a9ae32d778f02b1f7cc5c59d6f7dc3500',1,'precision']]], - ['recfast_5fx_5fh0_5ftrigger_5fdelta',['recfast_x_H0_trigger_delta',['../common_8h.html#a0bc3ac27b918dd2fcb0eea0ebcac7252',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger',['recfast_x_He0_trigger',['../common_8h.html#a1bc8f906109a242a2a1ea5263b45616a',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger2',['recfast_x_He0_trigger2',['../common_8h.html#abd3579dff4fcb28bc34d5049c66676e6',1,'precision']]], - ['recfast_5fx_5fhe0_5ftrigger_5fdelta',['recfast_x_He0_trigger_delta',['../common_8h.html#af0d067e9438df41926ee456a1b8e74ff',1,'precision']]], - ['recfast_5fz_5fhe_5f1',['recfast_z_He_1',['../common_8h.html#a7e2634e9e694d7d6acc996dc610579a3',1,'precision']]], - ['recfast_5fz_5fhe_5f2',['recfast_z_He_2',['../common_8h.html#ac92beb002d61a8afdd204b1432437094',1,'precision']]], - ['recfast_5fz_5fhe_5f3',['recfast_z_He_3',['../common_8h.html#abd7782b17fbffd7603d11a3bd481d32c',1,'precision']]], - ['recfast_5fz_5finitial',['recfast_z_initial',['../common_8h.html#ad9c73e5c9019211142475ba97fe8fd6e',1,'precision']]], - ['recfast_5fzgauss1',['recfast_zGauss1',['../common_8h.html#a7939de1608d831ca7497618b20163faf',1,'precision']]], - ['recfast_5fzgauss2',['recfast_zGauss2',['../common_8h.html#a8f2fd05f518e3d4a9800a5c865d4e0de',1,'precision']]], - ['recombination',['recombination',['../thermodynamics_8h.html#a5e6ec5533b6b93b80cfaa0d933117410',1,'thermo']]], - ['recombination_5ftable',['recombination_table',['../thermodynamics_8h.html#ab2f2f15ff77532bddf3052e52ca1df77',1,'recombination']]], - ['reio_5finter_5fnum',['reio_inter_num',['../thermodynamics_8h.html#ab249a7342381ebfe08dfaf1d26f332cf',1,'thermo']]], - ['reio_5finter_5fxe',['reio_inter_xe',['../thermodynamics_8h.html#af90417ae2eefad3e9c8974b6e1b105f0',1,'thermo']]], - ['reio_5finter_5fz',['reio_inter_z',['../thermodynamics_8h.html#ae0d8972ad4bbfc24974b8b08c0ce45b6',1,'thermo']]], - ['reio_5fnum_5fparams',['reio_num_params',['../thermodynamics_8h.html#a257eb4f1d42be0cc0f3f3a95104b41be',1,'reionization']]], - ['reio_5fnum_5fz',['reio_num_z',['../thermodynamics_8h.html#ad19f164a09a190e6d34f46331750e61c',1,'reionization']]], - ['reio_5fparametrization',['reio_parametrization',['../thermodynamics_8h.html#a933d64335c2f8d29ac8966d311e76902',1,'thermo']]], - ['reio_5fz_5for_5ftau',['reio_z_or_tau',['../thermodynamics_8h.html#aa911a8bfc092639aef86ba60351a3b0c',1,'thermo']]], - ['reionization_5fexponent',['reionization_exponent',['../thermodynamics_8h.html#a6ff33c2e66391af885b6726784e5b92d',1,'thermo']]], - ['reionization_5foptical_5fdepth',['reionization_optical_depth',['../thermodynamics_8h.html#a2d0bb67beb4bffe6b6e4c07c50ea05b4',1,'reionization']]], - ['reionization_5foptical_5fdepth_5ftol',['reionization_optical_depth_tol',['../common_8h.html#a3763d41dc9c0bb87f04fc8d446034beb',1,'precision']]], - ['reionization_5fparameters',['reionization_parameters',['../thermodynamics_8h.html#ab9f4cf65a7935f25ed0c9a504ed8c29e',1,'reionization']]], - ['reionization_5fsampling',['reionization_sampling',['../common_8h.html#a328de572f865c8d0bda2f583e3617d59',1,'precision']]], - ['reionization_5fstart_5ffactor',['reionization_start_factor',['../common_8h.html#a77bd046140bf5087fd14e9f5ae748317',1,'precision']]], - ['reionization_5ftable',['reionization_table',['../thermodynamics_8h.html#acfe9475fc19c4af33306dcb24954c68f',1,'reionization']]], - ['reionization_5fwidth',['reionization_width',['../thermodynamics_8h.html#abde0e80ab0c3e3114cc636d65c2830df',1,'thermo']]], - ['reionization_5fz_5fstart_5fmax',['reionization_z_start_max',['../common_8h.html#a54f06b9c9e4358e85ae00a82d2be3073',1,'precision']]], - ['rho_5fplus_5fp_5fshear',['rho_plus_p_shear',['../perturbations_8h.html#a946fe20b37bcf2a2fc486653536c2a7c',1,'perturb_workspace']]], - ['rho_5fplus_5fp_5ftheta',['rho_plus_p_theta',['../perturbations_8h.html#a50e1b9cd712157932986c50aff9580ab',1,'perturb_workspace']]], - ['rho_5fplus_5fp_5ftheta_5ffld',['rho_plus_p_theta_fld',['../perturbations_8h.html#a25bc2272bfc81d102eedaf2190c41a1f',1,'perturb_workspace']]], - ['root',['root',['../output_8h.html#a9bf4ed2484f0a6183cb00fc36685d582',1,'output']]], - ['rs_5fd',['rs_d',['../thermodynamics_8h.html#a84a5dfe70e2c9e1793ba7620c7ad00fd',1,'thermo']]], - ['rs_5frec',['rs_rec',['../thermodynamics_8h.html#a7c76a1b25abab3fe341b07387f5d3475',1,'thermo']]], - ['rsa_5fdelta_5fg',['rsa_delta_g',['../perturbations_8h.html#a5eadd3c9e5003c0f74938558a27e5a6d',1,'perturb_workspace']]], - ['rsa_5fdelta_5fur',['rsa_delta_ur',['../perturbations_8h.html#a76927bc85dc14425c845a47cdc629ebe',1,'perturb_workspace']]], - ['rsa_5ftheta_5fg',['rsa_theta_g',['../perturbations_8h.html#a10c5f26e6edc53181ede1523452cb094',1,'perturb_workspace']]], - ['rsa_5ftheta_5fur',['rsa_theta_ur',['../perturbations_8h.html#a97023d902661a7b160ad6ffa547825ae',1,'perturb_workspace']]], - ['rt_5fsize',['rt_size',['../thermodynamics_8h.html#a16ae6805bc7bf671fc9ddceb976f9e63',1,'recombination::rt_size()'],['../thermodynamics_8h.html#a51089069ad3214de9588ba7b649b5ec8',1,'reionization::rt_size()']]], - ['running',['running',['../primordial_8h.html#ad545b2b62cc88e2ae07df659aad92e07',1,'primordial']]] -]; diff --git a/doc/manual/html/search/variables_11.html b/doc/manual/html/search/variables_11.html deleted file mode 100644 index d5be9145..00000000 --- a/doc/manual/html/search/variables_11.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_11.js b/doc/manual/html/search/variables_11.js deleted file mode 100644 index 14779e5e..00000000 --- a/doc/manual/html/search/variables_11.js +++ /dev/null @@ -1,51 +0,0 @@ -var searchData= -[ - ['s_5ffld',['S_fld',['../perturbations_8h.html#a0f7a31f3e3545c35d86d5c8df320960b',1,'perturb_workspace']]], - ['s_5fl',['s_l',['../perturbations_8h.html#a129ee76252bf13414449dc5400e16785',1,'perturb_workspace']]], - ['safe_5fphi_5fscf',['safe_phi_scf',['../common_8h.html#a466692f5b5e43b0497f10fcf026c2e7f',1,'precision']]], - ['scalar_5fperturbations_5fdata',['scalar_perturbations_data',['../perturbations_8h.html#a1a2bfc4df2d4d591556c4dcb7a605ee7',1,'perturbs']]], - ['scalar_5ftitles',['scalar_titles',['../perturbations_8h.html#adbd051adf5743feaa54044ccf86704fc',1,'perturbs']]], - ['scf_5fparameters',['scf_parameters',['../background_8h.html#a0f2ca42b920c48c864b4135c3e519d99',1,'background']]], - ['scf_5fparameters_5fsize',['scf_parameters_size',['../background_8h.html#a516208b1d53e97e01b39f06df9f83700',1,'background']]], - ['scf_5ftuning_5findex',['scf_tuning_index',['../background_8h.html#afecadd30a392f785ccffff67930909e0',1,'background']]], - ['selection',['selection',['../perturbations_8h.html#a00e91b6006fe4ea67077912d33de963f',1,'perturbs']]], - ['selection_5fbias',['selection_bias',['../transfer_8h.html#a11fc80f50096e99f698479c1430076c7',1,'transfers']]], - ['selection_5fcut_5fat_5fsigma',['selection_cut_at_sigma',['../common_8h.html#a5c6432808b685646fc59de7581ae0b97',1,'precision']]], - ['selection_5fdelta_5ftau',['selection_delta_tau',['../perturbations_8h.html#acaa07d9842764604a4ffe12f73ac995a',1,'perturbs']]], - ['selection_5ffunction',['selection_function',['../perturbations_8h.html#afac4535c3b63cb278f210e0b558adc1f',1,'perturbs']]], - ['selection_5fmagnification_5fbias',['selection_magnification_bias',['../transfer_8h.html#a0f38a4074b6dd8d95379b8e171e54533',1,'transfers']]], - ['selection_5fmax_5fof_5ftau_5fmax',['selection_max_of_tau_max',['../perturbations_8h.html#af787d16ae2f9fa435086b20cef8b9e55',1,'perturbs']]], - ['selection_5fmean',['selection_mean',['../perturbations_8h.html#a15266631124718cca6821507137c3561',1,'perturbs']]], - ['selection_5fmin_5fof_5ftau_5fmin',['selection_min_of_tau_min',['../perturbations_8h.html#a78cf18bd2e4c80bbd6d99b56bcd1ea30',1,'perturbs']]], - ['selection_5fnum',['selection_num',['../perturbations_8h.html#a08050531f58de31cac59e09124086850',1,'perturbs']]], - ['selection_5fsampling',['selection_sampling',['../common_8h.html#a3268045bd1aa56ba4b67d3fc66a7ab17',1,'precision']]], - ['selection_5fsampling_5fbessel',['selection_sampling_bessel',['../common_8h.html#aff7c31600012254167cd68433ca54948',1,'precision']]], - ['selection_5fsampling_5fbessel_5flos',['selection_sampling_bessel_los',['../common_8h.html#ae060611b14823b714e6e450d18123a2b',1,'precision']]], - ['selection_5ftau',['selection_tau',['../perturbations_8h.html#a2b1aa6f687bc7286a2bb5cb4ca52dbbc',1,'perturbs']]], - ['selection_5ftau_5fmax',['selection_tau_max',['../perturbations_8h.html#aff391c3d002d7541fe6555fc46b1dd9f',1,'perturbs']]], - ['selection_5ftau_5fmin',['selection_tau_min',['../perturbations_8h.html#a6c18697e5b2e4dff3c9aaeeb1019d0b2',1,'perturbs']]], - ['selection_5ftophat_5fedge',['selection_tophat_edge',['../common_8h.html#a159b8a7f01062a7b8456d57935441948',1,'precision']]], - ['selection_5fwidth',['selection_width',['../perturbations_8h.html#aef03a65543c73fb8f799634102d2282a',1,'perturbs']]], - ['sgnk',['sgnK',['../background_8h.html#abfb9604454d58ec29a6d67b4957f98af',1,'background::sgnK()'],['../transfer_8h.html#af43bd9bd9693d9dfda296b136adcfe80',1,'transfer_workspace::sgnK()']]], - ['shear_5fncdm',['shear_ncdm',['../perturbations_8h.html#a2eddf1e8180bec09e4dfdc9431f325c0',1,'perturb_workspace']]], - ['shooting_5ferror',['shooting_error',['../background_8h.html#ae8db621ec63803a3fcf02f3122d48b11',1,'background']]], - ['shooting_5ffailed',['shooting_failed',['../background_8h.html#a378f8b0f2a436630570e71f0387a70ab',1,'background']]], - ['short_5finfo',['short_info',['../background_8h.html#a539b135329ad8c7493e936a559062170',1,'background']]], - ['sigma8',['sigma8',['../spectra_8h.html#a6ee88df802d2cb48a003ade7adcb600a',1,'spectra']]], - ['sigma8_5fcb',['sigma8_cb',['../spectra_8h.html#a061198a8d906bce9c36007567db6b30a',1,'spectra']]], - ['size_5fscalar_5fperturbation_5fdata',['size_scalar_perturbation_data',['../perturbations_8h.html#ad60d11a36d328dedd1b02871e6b8f2d1',1,'perturbs']]], - ['size_5ftensor_5fperturbation_5fdata',['size_tensor_perturbation_data',['../perturbations_8h.html#acac6423c3019d7802de6587088cfc7d5',1,'perturbs']]], - ['size_5fvector_5fperturbation_5fdata',['size_vector_perturbation_data',['../perturbations_8h.html#a117d7e63ef4287a8bf785057fc81c6f8',1,'perturbs']]], - ['smallest_5fallowed_5fvariation',['smallest_allowed_variation',['../common_8h.html#a6ce36b0a85e6a760aa8ec232fb5289fb',1,'precision']]], - ['sources',['sources',['../perturbations_8h.html#acd16a64ce2ee46c45b7b4682ba3fc35d',1,'perturbs::sources()'],['../transfer_8h.html#a7e1b7745f896916e019150d8b9261755',1,'transfer_workspace::sources()']]], - ['spectra_5fverbose',['spectra_verbose',['../spectra_8h.html#a07770a4fe51e11746c3a9c94df6df939',1,'spectra']]], - ['start_5flarge_5fk_5fat_5ftau_5fh_5fover_5ftau_5fk',['start_large_k_at_tau_h_over_tau_k',['../common_8h.html#ae46ec4a2a7c9e25081e9a601fe7a218d',1,'precision']]], - ['start_5fsmall_5fk_5fat_5ftau_5fc_5fover_5ftau_5fh',['start_small_k_at_tau_c_over_tau_h',['../common_8h.html#a57d70caf5f7ed4c637c73b90527a3865',1,'precision']]], - ['start_5fsources_5fat_5ftau_5fc_5fover_5ftau_5fh',['start_sources_at_tau_c_over_tau_h',['../common_8h.html#abf52d5fb24720ce936c3108820a32361',1,'precision']]], - ['store_5fperturbations',['store_perturbations',['../perturbations_8h.html#a1483a03e8c2e932e15b52faf1511242b',1,'perturbs']]], - ['switch_5fdop',['switch_dop',['../perturbations_8h.html#abe694a40defa5339ae8c8383f6964266',1,'perturbs']]], - ['switch_5feisw',['switch_eisw',['../perturbations_8h.html#a1dc92b0ea1e1697136d425ea7b89c497',1,'perturbs']]], - ['switch_5flisw',['switch_lisw',['../perturbations_8h.html#aab57ee8522cd9a166488c2fccf0e755f',1,'perturbs']]], - ['switch_5fpol',['switch_pol',['../perturbations_8h.html#a3ac5aa07b40b40cae1f7251ad97b00e3',1,'perturbs']]], - ['switch_5fsw',['switch_sw',['../perturbations_8h.html#a199e4dbbc87155594fe3b83763a218c4',1,'perturbs']]] -]; diff --git a/doc/manual/html/search/variables_12.html b/doc/manual/html/search/variables_12.html deleted file mode 100644 index b62e1ee1..00000000 --- a/doc/manual/html/search/variables_12.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_12.js b/doc/manual/html/search/variables_12.js deleted file mode 100644 index 3d2e52f4..00000000 --- a/doc/manual/html/search/variables_12.js +++ /dev/null @@ -1,68 +0,0 @@ -var searchData= -[ - ['t_5fcmb',['T_cmb',['../background_8h.html#aacce0972bf2d6ba25b4fa6ebb0cbf42a',1,'background']]], - ['t_5fncdm_5fdefault',['T_ncdm_default',['../background_8h.html#a10ccd157c2ca672eec8a402cdb330054',1,'background']]], - ['tau',['tau',['../structnonlinear.html#a58f60e148801438e7291a5ca86dbf088',1,'nonlinear']]], - ['tau0_5fminus_5ftau',['tau0_minus_tau',['../transfer_8h.html#ac173b95d9119c27f08bb0eca6e0a585e',1,'transfer_workspace']]], - ['tau0_5fminus_5ftau_5fcut',['tau0_minus_tau_cut',['../transfer_8h.html#a2850c0e6097bdd5e63fce840c199c248',1,'transfer_workspace']]], - ['tau_5fcut',['tau_cut',['../thermodynamics_8h.html#a40d90d7624f973a3e1ad4f7dd45a6aa4',1,'thermo']]], - ['tau_5fd',['tau_d',['../thermodynamics_8h.html#ad35ed79fc3351995cd324639d49bf2c5',1,'thermo']]], - ['tau_5feq',['tau_eq',['../background_8h.html#a364985e5717726c6ca981c3d151b8a89',1,'background']]], - ['tau_5ffree_5fstreaming',['tau_free_streaming',['../thermodynamics_8h.html#af00c823bddd68b229494936cdb042205',1,'thermo']]], - ['tau_5fini',['tau_ini',['../thermodynamics_8h.html#a712e8fca144ea7b0d6053776266b2ac7',1,'thermo']]], - ['tau_5frec',['tau_rec',['../thermodynamics_8h.html#a58263bc073a96346f1ea034eeb8d66cc',1,'thermo']]], - ['tau_5freio',['tau_reio',['../thermodynamics_8h.html#a3a2458620f9e70183e0df4900abe2764',1,'thermo']]], - ['tau_5fsampling',['tau_sampling',['../perturbations_8h.html#a0b470ea24cec696c098942196d2ebaff',1,'perturbs']]], - ['tau_5fsize',['tau_size',['../structnonlinear.html#a65b7e2e5ec57b04277e3797c6953e6ba',1,'nonlinear::tau_size()'],['../perturbations_8h.html#a67c386309ed51644f43b4545c4e067bd',1,'perturbs::tau_size()'],['../transfer_8h.html#a687f3dc5e1e24c16db6feb562de9477d',1,'transfer_workspace::tau_size()']]], - ['tau_5fsize_5fmax',['tau_size_max',['../transfer_8h.html#ae456d6ef31a91fe0adc33af4260fe547',1,'transfer_workspace']]], - ['tau_5ftable',['tau_table',['../background_8h.html#ad6b709b1e61e2afb17f27b8a5b09cf95',1,'background']]], - ['tca_5fshear_5fg',['tca_shear_g',['../perturbations_8h.html#af4e5854dfbe360ddad1771faf9234634',1,'perturb_workspace']]], - ['tca_5fslip',['tca_slip',['../perturbations_8h.html#a7c66a8c54bdc71f2834c86d6b411aadf',1,'perturb_workspace']]], - ['tensor_5fmethod',['tensor_method',['../perturbations_8h.html#a712b8a16ff3e93dd7a864863798117f1',1,'perturbs']]], - ['tensor_5fperturbations_5fdata',['tensor_perturbations_data',['../perturbations_8h.html#a5c9a43967b969b1ad0e33cc0252c0172',1,'perturbs']]], - ['tensor_5ftitles',['tensor_titles',['../perturbations_8h.html#acc83561789c24022fcfc2ea6e88bd71c',1,'perturbs']]], - ['th_5fsize',['th_size',['../thermodynamics_8h.html#aeaab853f9c79e1b7f0c516e2034afc5a',1,'thermo']]], - ['thermo_5frate_5fsmoothing_5fradius',['thermo_rate_smoothing_radius',['../common_8h.html#a0759177e93ea433d82589bfe04df4e38',1,'precision']]], - ['thermodynamics_5ftable',['thermodynamics_table',['../thermodynamics_8h.html#a69b1c0e146bb1813004d1ca8d4be0356',1,'thermo']]], - ['thermodynamics_5fverbose',['thermodynamics_verbose',['../thermodynamics_8h.html#aa5cd5143daa64272ade3076ebbd81f52',1,'thermo']]], - ['theta_5fcb',['theta_cb',['../perturbations_8h.html#a17e489d57102234b09ff12d15a4f8db8',1,'perturb_workspace']]], - ['theta_5fm',['theta_m',['../perturbations_8h.html#aca8d43e66e75be956a00a410ccf2cf10',1,'perturb_workspace']]], - ['theta_5fncdm',['theta_ncdm',['../perturbations_8h.html#a972970d25d99cd326512512864d8dd71',1,'perturb_workspace']]], - ['three_5fceff2_5fur',['three_ceff2_ur',['../perturbations_8h.html#ae90af9982f704a6721ae666a704a6a27',1,'perturbs']]], - ['three_5fcvis2_5fur',['three_cvis2_ur',['../perturbations_8h.html#a79d2eb891a76814cb315beb27ddf3ed7',1,'perturbs']]], - ['tight_5fcoupling_5fapproximation',['tight_coupling_approximation',['../common_8h.html#a7e9a3d631f1368a546e92235075ed7a8',1,'precision']]], - ['tight_5fcoupling_5ftrigger_5ftau_5fc_5fover_5ftau_5fh',['tight_coupling_trigger_tau_c_over_tau_h',['../common_8h.html#aacaf9891d53114a8a10007941798e310',1,'precision']]], - ['tight_5fcoupling_5ftrigger_5ftau_5fc_5fover_5ftau_5fk',['tight_coupling_trigger_tau_c_over_tau_k',['../common_8h.html#a983753708e2dc77c482bb7364d423ac2',1,'precision']]], - ['tilt',['tilt',['../primordial_8h.html#a1a8d47fb814ced6a0984f2be49e00211',1,'primordial']]], - ['tnow',['Tnow',['../thermodynamics_8h.html#a2b3b40a3f23658c72ef95207cbcbd8c3',1,'recombination']]], - ['tol_5fbackground_5fintegration',['tol_background_integration',['../common_8h.html#a444a8511365ba815a2108479b5f79bfe',1,'precision']]], - ['tol_5fgauss_5flegendre',['tol_gauss_legendre',['../common_8h.html#a76852c9fb933263cdcd88fa7d1f6419a',1,'precision']]], - ['tol_5finitial_5fomega_5fr',['tol_initial_Omega_r',['../common_8h.html#a3b31e70cffa90b36fb9fe4513e34fd66',1,'precision']]], - ['tol_5fm_5fncdm',['tol_M_ncdm',['../common_8h.html#a8a51f9bfe97ab2af8af02537a1d6f347',1,'precision']]], - ['tol_5fncdm',['tol_ncdm',['../common_8h.html#a763719a8b90aae456d74f87c3a7137fb',1,'precision']]], - ['tol_5fncdm_5fbg',['tol_ncdm_bg',['../common_8h.html#a1f4cefd79a27e4922a4f06c46c0133cd',1,'precision']]], - ['tol_5fncdm_5finitial_5fw',['tol_ncdm_initial_w',['../common_8h.html#ad8ef5cb57e7ff804c242ccbdf40648ea',1,'precision']]], - ['tol_5fncdm_5fnewtonian',['tol_ncdm_newtonian',['../common_8h.html#a440fc376b6c9dd2ee7d9a72d592791a0',1,'precision']]], - ['tol_5fncdm_5fsynchronous',['tol_ncdm_synchronous',['../common_8h.html#ac4688bdc06229edbee1e15f3ca2b03fd',1,'precision']]], - ['tol_5fperturb_5fintegration',['tol_perturb_integration',['../common_8h.html#ae9a16f763f0e6590d9fb6b907feda4a5',1,'precision']]], - ['tol_5ftau_5fapprox',['tol_tau_approx',['../common_8h.html#a3aee719ebdf06817d4ac62116f168afa',1,'precision']]], - ['tol_5ftau_5feq',['tol_tau_eq',['../common_8h.html#a7bafc83c0ddf73503579bec181559932',1,'precision']]], - ['tol_5fthermo_5fintegration',['tol_thermo_integration',['../common_8h.html#a1a512eddd17b9854e95c1a890df2703f',1,'precision']]], - ['tp_5fsize',['tp_size',['../perturbations_8h.html#a576dd20e63a5f84ffd1309c6be97a364',1,'perturbs']]], - ['tr_5fsize',['tr_size',['../spectra_8h.html#a3e50d934303e1c7ca8bd3b8aee98ba88',1,'spectra']]], - ['transfer',['transfer',['../transfer_8h.html#a163fba8d0845cca9746f62f670495bad',1,'transfers']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5fe',['transfer_neglect_delta_k_S_e',['../common_8h.html#a10368fbcea5cb3f7eb6f56f44126f789',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft0',['transfer_neglect_delta_k_S_t0',['../common_8h.html#a7379458633652db2f1aa409df6fb9599',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft1',['transfer_neglect_delta_k_S_t1',['../common_8h.html#a1e42196c8410b72c38f9548f07de34bc',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fs_5ft2',['transfer_neglect_delta_k_S_t2',['../common_8h.html#a7ce334dccea37f60b468b8506e91423c',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5fb',['transfer_neglect_delta_k_T_b',['../common_8h.html#af5d251d407b7631fe9c9b6878156adc6',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5fe',['transfer_neglect_delta_k_T_e',['../common_8h.html#a89229e22af124a00b2e0b31380f9a8db',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5ft_5ft2',['transfer_neglect_delta_k_T_t2',['../common_8h.html#a7f2b6302f3936213569e8e5615a95df7',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5fb',['transfer_neglect_delta_k_V_b',['../common_8h.html#aa487db7e90275100a39018c4cee5c20d',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5fe',['transfer_neglect_delta_k_V_e',['../common_8h.html#a21a8d2719b9650bb5b32f71681c59784',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5ft1',['transfer_neglect_delta_k_V_t1',['../common_8h.html#afefe0741183b00f7d651ba0bdd49d0f5',1,'precision']]], - ['transfer_5fneglect_5fdelta_5fk_5fv_5ft2',['transfer_neglect_delta_k_V_t2',['../common_8h.html#af975d509e9ab98ec6d8944bb79ca39ce',1,'precision']]], - ['transfer_5fneglect_5flate_5fsource',['transfer_neglect_late_source',['../common_8h.html#a01684a8901b4a6db68f61433b90c804d',1,'precision']]], - ['transfer_5fverbose',['transfer_verbose',['../transfer_8h.html#afaa03b27d03939202850b360ad72b6bc',1,'transfers']]], - ['tt_5fsize',['tt_size',['../thermodynamics_8h.html#aac7234076d84b798f8b3346d5e76d158',1,'thermo::tt_size()'],['../transfer_8h.html#a06814905fb421cddb40e89f355e99be2',1,'transfers::tt_size()']]] -]; diff --git a/doc/manual/html/search/variables_13.html b/doc/manual/html/search/variables_13.html deleted file mode 100644 index 15437be2..00000000 --- a/doc/manual/html/search/variables_13.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_13.js b/doc/manual/html/search/variables_13.js deleted file mode 100644 index 91fd0ade..00000000 --- a/doc/manual/html/search/variables_13.js +++ /dev/null @@ -1,7 +0,0 @@ -var searchData= -[ - ['ur_5ffluid_5fapproximation',['ur_fluid_approximation',['../common_8h.html#a9a6594663647ebb3ce010d8154562865',1,'precision']]], - ['ur_5ffluid_5ftrigger_5ftau_5fover_5ftau_5fk',['ur_fluid_trigger_tau_over_tau_k',['../common_8h.html#af91c68cd3475bd7b4739d0f9e0569d55',1,'precision']]], - ['use_5fppf',['use_ppf',['../background_8h.html#a7830e03f3d0c7b44bf1bfbb3f50d9b8a',1,'background']]], - ['used_5fin_5fsources',['used_in_sources',['../perturbations_8h.html#ac1adc34595e1056ccab21d3b9bf35703',1,'perturb_vector']]] -]; diff --git a/doc/manual/html/search/variables_14.html b/doc/manual/html/search/variables_14.html deleted file mode 100644 index 3745fec3..00000000 --- a/doc/manual/html/search/variables_14.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_14.js b/doc/manual/html/search/variables_14.js deleted file mode 100644 index ef0e385b..00000000 --- a/doc/manual/html/search/variables_14.js +++ /dev/null @@ -1,12 +0,0 @@ -var searchData= -[ - ['v0',['V0',['../primordial_8h.html#a982a911c9d7791f6f57a08e7b5b2d040',1,'primordial']]], - ['v1',['V1',['../primordial_8h.html#aaf89c06c44c27ea964877e9a3eecba87',1,'primordial']]], - ['v2',['V2',['../primordial_8h.html#ab245e3210a89e39e986abfd611df8b6a',1,'primordial']]], - ['v3',['V3',['../primordial_8h.html#a68181f8a34cb07f3b930b53bf4c3504b',1,'primordial']]], - ['v4',['V4',['../primordial_8h.html#add2c7eca88313f8bbb30237d3f78a02d',1,'primordial']]], - ['vector_5fperturbations_5fdata',['vector_perturbations_data',['../perturbations_8h.html#ad347127b5921dbbbbeb8c3170f54683b',1,'perturbs']]], - ['vector_5fsource_5fpi',['vector_source_pi',['../perturbations_8h.html#a343d3b6cb243722f1b44ec356c9fba4f',1,'perturb_workspace']]], - ['vector_5fsource_5fv',['vector_source_v',['../perturbations_8h.html#ac90a6f855cb1d321f5a0854cf7286b15',1,'perturb_workspace']]], - ['vector_5ftitles',['vector_titles',['../perturbations_8h.html#ad346c561d3a5cab6954d377addd4eca6',1,'perturbs']]] -]; diff --git a/doc/manual/html/search/variables_15.html b/doc/manual/html/search/variables_15.html deleted file mode 100644 index 7432fd79..00000000 --- a/doc/manual/html/search/variables_15.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_15.js b/doc/manual/html/search/variables_15.js deleted file mode 100644 index a5dc63c2..00000000 --- a/doc/manual/html/search/variables_15.js +++ /dev/null @@ -1,13 +0,0 @@ -var searchData= -[ - ['w0_5ffld',['w0_fld',['../background_8h.html#a952ea915a9eb9d1ab7a053fc9cd503d4',1,'background']]], - ['w_5fncdm',['w_ncdm',['../background_8h.html#a8b70adca7e18544a5c89efa89506bec5',1,'background']]], - ['w_5fncdm_5fbg',['w_ncdm_bg',['../background_8h.html#a45fe099176d7cf0e2196d437a7ef1d6f',1,'background']]], - ['w_5ftrapz',['w_trapz',['../transfer_8h.html#a494d2fb2fd39b12fcf6f9628724e9d28',1,'transfer_workspace']]], - ['wa_5ffld',['wa_fld',['../background_8h.html#acdcf0ad1a86fa27264a1bde9beba37d1',1,'background']]], - ['write_5fbackground',['write_background',['../output_8h.html#a6cd19c7e14f82d8d28bfc9d637d6781c',1,'output']]], - ['write_5fheader',['write_header',['../output_8h.html#af1e6b5891529b5327786a5cf09032c4f',1,'output']]], - ['write_5fperturbations',['write_perturbations',['../output_8h.html#ac0133a84b97b22bd03596bca8f60f86d',1,'output']]], - ['write_5fprimordial',['write_primordial',['../output_8h.html#af85e93c87f4b5163e73ff1b99b75e1f3',1,'output']]], - ['write_5fthermodynamics',['write_thermodynamics',['../output_8h.html#a0803edaeac4394767bf1ac92ea4389dc',1,'output']]] -]; diff --git a/doc/manual/html/search/variables_16.html b/doc/manual/html/search/variables_16.html deleted file mode 100644 index 737584f9..00000000 --- a/doc/manual/html/search/variables_16.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_16.js b/doc/manual/html/search/variables_16.js deleted file mode 100644 index abc5be2f..00000000 --- a/doc/manual/html/search/variables_16.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['y',['y',['../perturbations_8h.html#af05dcb0f0d9c579ef53ef0d6c65f2709',1,'perturb_vector']]], - ['yhe',['YHe',['../thermodynamics_8h.html#a5659de2c81941b7a400fd7e7ea3c313d',1,'thermo::YHe()'],['../thermodynamics_8h.html#ab03e0d029be17effdb0a1b9a44ed35df',1,'recombination::YHe()']]] -]; diff --git a/doc/manual/html/search/variables_17.html b/doc/manual/html/search/variables_17.html deleted file mode 100644 index fe5c7ef5..00000000 --- a/doc/manual/html/search/variables_17.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_17.js b/doc/manual/html/search/variables_17.js deleted file mode 100644 index b796c2a4..00000000 --- a/doc/manual/html/search/variables_17.js +++ /dev/null @@ -1,11 +0,0 @@ -var searchData= -[ - ['z_5fd',['z_d',['../thermodynamics_8h.html#a538b4456df5d31848278443a33358dc2',1,'thermo']]], - ['z_5feq',['z_eq',['../background_8h.html#a935a0fd24b41fd978c09b1ab6dafb5f9',1,'background']]], - ['z_5fmax_5fpk',['z_max_pk',['../perturbations_8h.html#a2d72e5b17cdc85ac301e50c3835d1311',1,'perturbs::z_max_pk()'],['../spectra_8h.html#a41d693f09f93f7d77ff9a441c9403f09',1,'spectra::z_max_pk()']]], - ['z_5fpk',['z_pk',['../output_8h.html#af0802a2f0198a459a538665088453276',1,'output']]], - ['z_5fpk_5fnum',['z_pk_num',['../output_8h.html#a50a980e835994df9d57456ae1c264629',1,'output']]], - ['z_5frec',['z_rec',['../thermodynamics_8h.html#ab66b58fac03cfcd90bf32ce38dae2bb7',1,'thermo']]], - ['z_5freio',['z_reio',['../thermodynamics_8h.html#a09cdddaec3d9d3be0c790a119b1023f0',1,'thermo']]], - ['z_5ftable',['z_table',['../background_8h.html#a16856423300cf5b8746ed6a6fd7adf56',1,'background::z_table()'],['../thermodynamics_8h.html#ac26e74ef1fcdbe7c3666dabeff610f12',1,'thermo::z_table()']]] -]; diff --git a/doc/manual/html/search/variables_2.html b/doc/manual/html/search/variables_2.html deleted file mode 100644 index 5c9de1aa..00000000 --- a/doc/manual/html/search/variables_2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_2.js b/doc/manual/html/search/variables_2.js deleted file mode 100644 index b8e3fef0..00000000 --- a/doc/manual/html/search/variables_2.js +++ /dev/null @@ -1,46 +0,0 @@ -var searchData= -[ - ['c_5fad_5fbi',['c_ad_bi',['../primordial_8h.html#a35b7d8e65abe6f95dbd14b5879e8fe91',1,'primordial']]], - ['c_5fad_5fcdi',['c_ad_cdi',['../primordial_8h.html#aa58017cdb6bfce55e582febac6b7e274',1,'primordial']]], - ['c_5fad_5fnid',['c_ad_nid',['../primordial_8h.html#a941871f34f174a3de50affcfa34642c6',1,'primordial']]], - ['c_5fad_5fniv',['c_ad_niv',['../primordial_8h.html#a2159a195a133cd55ecc4d61c638fd0f5',1,'primordial']]], - ['c_5fbi_5fcdi',['c_bi_cdi',['../primordial_8h.html#acc872d960271afabd1b2fe3bad69d1ed',1,'primordial']]], - ['c_5fbi_5fnid',['c_bi_nid',['../primordial_8h.html#a76559d33bf29bbb9b6f72c0f4f490805',1,'primordial']]], - ['c_5fbi_5fniv',['c_bi_niv',['../primordial_8h.html#ac3b1f114df15db4a9095a9fb281aa5d5',1,'primordial']]], - ['c_5fcdi_5fnid',['c_cdi_nid',['../primordial_8h.html#a60a344c5d21aecbe6812f87e97043f5c',1,'primordial']]], - ['c_5fcdi_5fniv',['c_cdi_niv',['../primordial_8h.html#ab69f11f2431dec095b0c71f60a774733',1,'primordial']]], - ['c_5fgamma_5fover_5fc_5ffld',['c_gamma_over_c_fld',['../background_8h.html#aa821d266aa8e2bec8a8649b9ecaf5aae',1,'background']]], - ['c_5fnid_5fniv',['c_nid_niv',['../primordial_8h.html#a421b0bdcfe05eaabfd63cc3eaa63f971',1,'primordial']]], - ['cb1',['CB1',['../thermodynamics_8h.html#ab95b5c562931dfd60b4cbba24926ea4e',1,'recombination']]], - ['cb1_5fhe1',['CB1_He1',['../thermodynamics_8h.html#a94ad83481ea0713773b598f47c97985a',1,'recombination']]], - ['cb1_5fhe2',['CB1_He2',['../thermodynamics_8h.html#a5843798e46e0fe1b87ecae7254eae2af',1,'recombination']]], - ['cdb',['CDB',['../thermodynamics_8h.html#a96627d05a1b5c7109755156f1990028d',1,'recombination']]], - ['cdb_5fhe',['CDB_He',['../thermodynamics_8h.html#abc7c14bfb190b723f1a99e6c4012c025',1,'recombination']]], - ['chi',['chi',['../transfer_8h.html#a48c29fdc48117dddcb0b4a872f1eea0a',1,'transfer_workspace']]], - ['ck',['CK',['../thermodynamics_8h.html#a0ec602a44c209c88f3890e17f2275004',1,'recombination']]], - ['ck_5fhe',['CK_He',['../thermodynamics_8h.html#a8ba09e03d069a1387f20eebdfe4bfde5',1,'recombination']]], - ['cl',['cl',['../spectra_8h.html#a69a6084de38d2cc86b9c2e25eb7cd1e9',1,'spectra::cl()'],['../thermodynamics_8h.html#a855a4893fcf363c3932a991748c3146b',1,'recombination::CL()']]], - ['cl_5fhe',['CL_He',['../thermodynamics_8h.html#a0d9b5cad8b15d5b62676fb7215700629',1,'recombination']]], - ['cl_5flens',['cl_lens',['../lensing_8h.html#acc56a1d7a46570f79ba64abc1a6f8d63',1,'lensing']]], - ['command',['command',['../primordial_8h.html#a3ee1124987e79d818ad2987c3a9dfe29',1,'primordial']]], - ['compute_5fcb2_5fderivatives',['compute_cb2_derivatives',['../thermodynamics_8h.html#a3d509e606f8d353fed5b353562fbec2a',1,'thermo']]], - ['compute_5fdamping_5fscale',['compute_damping_scale',['../thermodynamics_8h.html#a0ad4a85264f773d11292fc66c5f9d598',1,'thermo']]], - ['conformal_5fage',['conformal_age',['../background_8h.html#af5353323a6707b6284399d8b44dd2b3c',1,'background']]], - ['cotkgen',['cotKgen',['../transfer_8h.html#acd80ed43dfaa2eadf1695c8fd4f5b076',1,'transfer_workspace']]], - ['cr',['CR',['../thermodynamics_8h.html#a591a5427ffcfe8cf78ca4c5c3bf33090',1,'recombination']]], - ['cs2_5ffld',['cs2_fld',['../background_8h.html#a911297f394082415f68263eab8f51127',1,'background']]], - ['csckgen',['cscKgen',['../transfer_8h.html#a17cecce242bacda64a431ca5f1532a30',1,'transfer_workspace']]], - ['ct',['CT',['../thermodynamics_8h.html#a4d7f1237951e3466b8f6df1c2f59a864',1,'recombination']]], - ['ct_5fsize',['ct_size',['../spectra_8h.html#aff6e3a254bd882214107e13a5b49aeec',1,'spectra']]], - ['curvature_5fini',['curvature_ini',['../common_8h.html#a4442f124b8794be09b9c4101d3953ccc',1,'precision']]], - ['custom1',['custom1',['../primordial_8h.html#aa9b94fec07f3dbd612b95d326e125214',1,'primordial']]], - ['custom10',['custom10',['../primordial_8h.html#afb27e679a3c3e6a92f8cd4cc07a4596a',1,'primordial']]], - ['custom2',['custom2',['../primordial_8h.html#a13db350a385d3802a9061bc0128c6803',1,'primordial']]], - ['custom3',['custom3',['../primordial_8h.html#ac78bc0e328981d0a3bbc80407f4db44a',1,'primordial']]], - ['custom4',['custom4',['../primordial_8h.html#a8655e570945546313665e11cabdd2a02',1,'primordial']]], - ['custom5',['custom5',['../primordial_8h.html#aeae05d528aec4c4b9c2a905d63dd2b29',1,'primordial']]], - ['custom6',['custom6',['../primordial_8h.html#afe791ab320c73f942942654cd5cb3874',1,'primordial']]], - ['custom7',['custom7',['../primordial_8h.html#a35690744dc4e460cbbfd880e3a57b307',1,'primordial']]], - ['custom8',['custom8',['../primordial_8h.html#a698f3572e5bc05d7ccaef7e96f4b73eb',1,'primordial']]], - ['custom9',['custom9',['../primordial_8h.html#a286e9e0de38f5f755f6b48da930aa2dc',1,'primordial']]] -]; diff --git a/doc/manual/html/search/variables_3.html b/doc/manual/html/search/variables_3.html deleted file mode 100644 index f95e34c6..00000000 --- a/doc/manual/html/search/variables_3.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_3.js b/doc/manual/html/search/variables_3.js deleted file mode 100644 index 53c8c0e3..00000000 --- a/doc/manual/html/search/variables_3.js +++ /dev/null @@ -1,31 +0,0 @@ -var searchData= -[ - ['d2background_5fdtau2_5ftable',['d2background_dtau2_table',['../background_8h.html#a9565c380bec8c9caf93064ede368770a',1,'background']]], - ['d2tau_5fdz2_5ftable',['d2tau_dz2_table',['../background_8h.html#a7104096aa3d26462cd171ddd79f955ef',1,'background']]], - ['d2thermodynamics_5fdz2_5ftable',['d2thermodynamics_dz2_table',['../thermodynamics_8h.html#a49c943271cb4aac61c94bc319ab29910',1,'thermo']]], - ['d_5fsize',['d_size',['../spectra_8h.html#a85e7f6e1bc4fedf4b465f9253e39bc0e',1,'spectra']]], - ['da_5frec',['da_rec',['../thermodynamics_8h.html#a2c58c6c497268309b8d658a7b1ea216f',1,'thermo']]], - ['ddcl',['ddcl',['../spectra_8h.html#a15869600b6b48f5b649294dab435f901',1,'spectra']]], - ['ddcl_5flens',['ddcl_lens',['../lensing_8h.html#a9f78b598f39844238cb8b1c1fab969db',1,'lensing']]], - ['ddln_5fpk',['ddln_pk',['../spectra_8h.html#a7ccfff6972618e81fac66595de4b8611',1,'spectra']]], - ['ddln_5fpk_5fcb',['ddln_pk_cb',['../spectra_8h.html#a3eafe6f1a176487cb7ca3453e013fccc',1,'spectra']]], - ['ddln_5fpk_5fcb_5fl',['ddln_pk_cb_l',['../spectra_8h.html#aad1321f83b0d65048029d28d13292403',1,'spectra']]], - ['ddln_5fpk_5fcb_5fnl',['ddln_pk_cb_nl',['../spectra_8h.html#a2e66e2a8471670ca82c66451aa5f474f',1,'spectra']]], - ['ddln_5fpk_5fl',['ddln_pk_l',['../spectra_8h.html#a371feb8b5ec10d495e05b81df054664d',1,'spectra']]], - ['ddln_5fpk_5fnl',['ddln_pk_nl',['../spectra_8h.html#a6783c1646f113d129dc37680bba3116a',1,'spectra']]], - ['ddlnpk',['ddlnpk',['../primordial_8h.html#a0ab953a61c9b5acc8fef42189c373066',1,'primordial']]], - ['ddmatter_5ftransfer',['ddmatter_transfer',['../spectra_8h.html#aeb346f3ee67d3cf0fd74353277e7a1b5',1,'spectra']]], - ['decay',['decay',['../thermodynamics_8h.html#a2200cfa2674a5489210d32c6d0fc48cb',1,'thermo::decay()'],['../thermodynamics_8h.html#a3c52e95d8a82a4dcfbc9495e708cf044',1,'recombination::decay()']]], - ['deg_5fncdm_5fdefault',['deg_ncdm_default',['../background_8h.html#a3b3564e036c5598f9f759c115f8d8a32',1,'background']]], - ['delta_5fcb',['delta_cb',['../perturbations_8h.html#a897f5b42ffea7a51e4516dcf37af018f',1,'perturb_workspace']]], - ['delta_5fl_5fmax',['delta_l_max',['../common_8h.html#a9170fe3386b23313c66d6baaaa182ff7',1,'precision']]], - ['delta_5fm',['delta_m',['../perturbations_8h.html#ae531e6d411f7f9dc56e39d3d3cc09b4a',1,'perturb_workspace']]], - ['delta_5fncdm',['delta_ncdm',['../perturbations_8h.html#a05a19b2b3597d8b717569b3d22969921',1,'perturb_workspace']]], - ['delta_5fp',['delta_p',['../perturbations_8h.html#a17e85624d4131c4e4c99bd57f883c416',1,'perturb_workspace']]], - ['delta_5frho',['delta_rho',['../perturbations_8h.html#a313fc9485defc5c8c69ec3080eba1647',1,'perturb_workspace']]], - ['delta_5frho_5ffld',['delta_rho_fld',['../perturbations_8h.html#a1ff232ab9972a00e7d7a6555a273e3ff',1,'perturb_workspace']]], - ['dlnf0_5fdlnq_5fncdm',['dlnf0_dlnq_ncdm',['../background_8h.html#a0d55e502abf84a474a51af8d9d352ae3',1,'background']]], - ['ds_5fd',['ds_d',['../thermodynamics_8h.html#af146a478a958c395eea06936778046a6',1,'thermo']]], - ['ds_5frec',['ds_rec',['../thermodynamics_8h.html#a0b850d5fa4f35c4912a361a2de85b373',1,'thermo']]], - ['dy',['dy',['../perturbations_8h.html#aa5479285a85767454622c410b11c6e78',1,'perturb_vector']]] -]; diff --git a/doc/manual/html/search/variables_4.html b/doc/manual/html/search/variables_4.html deleted file mode 100644 index d7db285e..00000000 --- a/doc/manual/html/search/variables_4.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_4.js b/doc/manual/html/search/variables_4.js deleted file mode 100644 index 56205acf..00000000 --- a/doc/manual/html/search/variables_4.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['eisw_5flisw_5fsplit_5fz',['eisw_lisw_split_z',['../perturbations_8h.html#aff6edf3e9eb24778b98c0ff9d71b3430',1,'perturbs']]], - ['entropy_5fini',['entropy_ini',['../common_8h.html#a6ce401f13c63206c868683b31a92b6f2',1,'precision']]], - ['error_5fmessage',['error_message',['../background_8h.html#ac2aa2ba4b8592e3f4c3bb8a2924dcf42',1,'background::error_message()'],['../common_8h.html#a1ad6fe4f58eff070f3879d20aa05dc5b',1,'precision::error_message()'],['../lensing_8h.html#a49b1b8ff165b21d6a2a34287a7f241d8',1,'lensing::error_message()'],['../structnonlinear.html#aea8dcc26882acb6c85a66e1aabcbc6c9',1,'nonlinear::error_message()'],['../output_8h.html#a9b379f36863d6969898a97291fa78ec3',1,'output::error_message()'],['../perturbations_8h.html#a16c8ca2b0bcad20402f8f805589f48bb',1,'perturbs::error_message()'],['../primordial_8h.html#ab6d0c136fc05447ed3c3c2a50277571c',1,'primordial::error_message()'],['../spectra_8h.html#ad9a93e571d2c183e38474056234fc91b',1,'spectra::error_message()'],['../thermodynamics_8h.html#a68eabc65d6d68d2152e2c0d075e69aea',1,'thermo::error_message()'],['../transfer_8h.html#acbb8a854ea85db2e34b18f18c4cca9ca',1,'transfers::error_message()']]], - ['evolve_5ftensor_5fncdm',['evolve_tensor_ncdm',['../perturbations_8h.html#adcaa3d85397351a0151065346f00b3d6',1,'perturbs']]], - ['evolve_5ftensor_5fur',['evolve_tensor_ur',['../perturbations_8h.html#a08587660d0693d074671e86df628e4f2',1,'perturbs']]], - ['evolver',['evolver',['../common_8h.html#abf73fec0ba7a2b9bfc2b31f0ad69637b',1,'precision']]] -]; diff --git a/doc/manual/html/search/variables_5.html b/doc/manual/html/search/variables_5.html deleted file mode 100644 index 7bbceeb0..00000000 --- a/doc/manual/html/search/variables_5.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_5.js b/doc/manual/html/search/variables_5.js deleted file mode 100644 index af8633ad..00000000 --- a/doc/manual/html/search/variables_5.js +++ /dev/null @@ -1,11 +0,0 @@ -var searchData= -[ - ['f_5fbi',['f_bi',['../primordial_8h.html#a39effc6417460af3d49d9bdfadc4e9ba',1,'primordial']]], - ['f_5fcdi',['f_cdi',['../primordial_8h.html#aa8472691ad4a9e278ef4204b4ded7f39',1,'primordial']]], - ['f_5fnid',['f_nid',['../primordial_8h.html#a355f4f1a0f3d07dd585afd90be0d5f33',1,'primordial']]], - ['f_5fniv',['f_niv',['../primordial_8h.html#a5c8bfaf9d87e936f5f2d1732e2bdb2ea',1,'primordial']]], - ['factor_5fncdm',['factor_ncdm',['../background_8h.html#a96b570d10c77a6fc4ca09759ed233906',1,'background']]], - ['fhe',['fHe',['../thermodynamics_8h.html#abd42dddfc07621c1934035dce015ade4',1,'recombination']]], - ['fluid_5fequation_5fof_5fstate',['fluid_equation_of_state',['../background_8h.html#a9120b4e2259f7ddbe89bb77db8b30269',1,'background']]], - ['fu',['fu',['../thermodynamics_8h.html#ae23d85a5262d4ff6121889e3b38bb4ed',1,'recombination']]] -]; diff --git a/doc/manual/html/search/variables_6.html b/doc/manual/html/search/variables_6.html deleted file mode 100644 index 4eb162d6..00000000 --- a/doc/manual/html/search/variables_6.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_6.js b/doc/manual/html/search/variables_6.js deleted file mode 100644 index 16535a62..00000000 --- a/doc/manual/html/search/variables_6.js +++ /dev/null @@ -1,9 +0,0 @@ -var searchData= -[ - ['gamma_5fdcdm',['Gamma_dcdm',['../background_8h.html#a00a94e23ccff5e89a77c12d1a1ef32d8',1,'background']]], - ['gamma_5fprime_5ffld',['Gamma_prime_fld',['../perturbations_8h.html#a2a4ed53c8fbbb42d8b1e451584a7672c',1,'perturb_workspace']]], - ['gauge',['gauge',['../perturbations_8h.html#a8393f374d4a6623e0a7d3316d2320093',1,'perturbs']]], - ['got_5ffiles',['got_files',['../background_8h.html#a1f83cf53eb9a656c780428a86ab995bc',1,'background']]], - ['gw_5fini',['gw_ini',['../common_8h.html#a041374f376ae5b6f9192b15c78b8bb73',1,'precision']]], - ['gw_5fsource',['gw_source',['../perturbations_8h.html#ada07e385e7572811616e675d5b4ff7e3',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/variables_7.html b/doc/manual/html/search/variables_7.html deleted file mode 100644 index 04088295..00000000 --- a/doc/manual/html/search/variables_7.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_7.js b/doc/manual/html/search/variables_7.js deleted file mode 100644 index 37fb35f7..00000000 --- a/doc/manual/html/search/variables_7.js +++ /dev/null @@ -1,118 +0,0 @@ -var searchData= -[ - ['h',['h',['../background_8h.html#a15e42418e0ae22959e110abf99a5e07e',1,'background']]], - ['h0',['H0',['../background_8h.html#aa78cfbd2348998f01f7301e02f2c7470',1,'background::H0()'],['../primordial_8h.html#ab621cf641b1b373c2b83d1b48959f1e8',1,'primordial::H0()'],['../thermodynamics_8h.html#aaca59e2498c91ed2fb9498f0c3f0024a',1,'recombination::H0()']]], - ['h1',['H1',['../primordial_8h.html#a6565415995e1345211957b0dc6f6d474',1,'primordial']]], - ['h2',['H2',['../primordial_8h.html#affa543bbe66af826ca4631b763850bb8',1,'primordial']]], - ['h3',['H3',['../primordial_8h.html#a3ce0173998d10166267b65f2c95e5f86',1,'primordial']]], - ['h4',['H4',['../primordial_8h.html#a8ae30b2a82b5e5a76dee555d449e2eef',1,'primordial']]], - ['h_5feq',['H_eq',['../background_8h.html#ae14cc8afe76fbfdc026f77c5e8a35fe7',1,'background']]], - ['h_5ffrac',['H_frac',['../thermodynamics_8h.html#a02d78534d314296f27b88e36916184cf',1,'recombination']]], - ['halofit_5fk_5fper_5fdecade',['halofit_k_per_decade',['../common_8h.html#a81f4880893807d14a59ff4818ebe9a21',1,'precision']]], - ['halofit_5fmin_5fk_5fmax',['halofit_min_k_max',['../common_8h.html#a686f8c90cc81580c52fd01165e793a34',1,'precision']]], - ['halofit_5fmin_5fk_5fnonlinear',['halofit_min_k_nonlinear',['../common_8h.html#acf85ffaeeefea5704d7df193d738e388',1,'precision']]], - ['halofit_5fsigma_5fprecision',['halofit_sigma_precision',['../common_8h.html#aa68f0ff8af918a5b1628af6699c53902',1,'precision']]], - ['halofit_5ftol_5fsigma',['halofit_tol_sigma',['../common_8h.html#a1fe8140092306b49d86576e181166af6',1,'precision']]], - ['has_5fad',['has_ad',['../perturbations_8h.html#ae148066fea5dcba2bdc1b967983c1655',1,'perturbs']]], - ['has_5fbb',['has_bb',['../lensing_8h.html#a3376eecdeb0890aa641d75537eddb8ec',1,'lensing::has_bb()'],['../spectra_8h.html#a51a275b988dd0df83ba035baa81dfc25',1,'spectra::has_bb()']]], - ['has_5fbi',['has_bi',['../perturbations_8h.html#a7e303e23b8b2d1585838a3c7c7dcfced',1,'perturbs']]], - ['has_5fcdi',['has_cdi',['../perturbations_8h.html#a0ec625da77600b644aebf1aa88aacb82',1,'perturbs']]], - ['has_5fcdm',['has_cdm',['../background_8h.html#afdbecc1d3a9c66455776d822ba779495',1,'background']]], - ['has_5fcl_5fcmb_5flensing_5fpotential',['has_cl_cmb_lensing_potential',['../perturbations_8h.html#ac7a36a1715ef65246af629c337a4805d',1,'perturbs']]], - ['has_5fcl_5fcmb_5fpolarization',['has_cl_cmb_polarization',['../perturbations_8h.html#a3f75b0cf00fd2e7ca1998c21b3b1a90a',1,'perturbs']]], - ['has_5fcl_5fcmb_5ftemperature',['has_cl_cmb_temperature',['../perturbations_8h.html#a3ea461ead5cd72fa0bb140c8cff2a288',1,'perturbs']]], - ['has_5fcl_5flensing_5fpotential',['has_cl_lensing_potential',['../perturbations_8h.html#a9ff9cda3bda5ddfdd50625a9278f489f',1,'perturbs']]], - ['has_5fcl_5fnumber_5fcount',['has_cl_number_count',['../perturbations_8h.html#a9e92b8cbf2e35f695728171a99dbcc25',1,'perturbs']]], - ['has_5fcls',['has_cls',['../perturbations_8h.html#a4b6be6c87262b8b7ee49b5addb252c75',1,'perturbs::has_cls()'],['../transfer_8h.html#a65e35e7d6e4c4dd0c96a9433c359151b',1,'transfers::has_cls()']]], - ['has_5fcmb',['has_cmb',['../perturbations_8h.html#a65e30cbbedca0bcdd633e028481a9a8d',1,'perturbs']]], - ['has_5fcurvature',['has_curvature',['../background_8h.html#a9c310bc35b545d3b11a0ba0248ada0fe',1,'background']]], - ['has_5fdcdm',['has_dcdm',['../background_8h.html#acddb16d4884498f3f65012e35d8a6ad5',1,'background']]], - ['has_5fdd',['has_dd',['../lensing_8h.html#a8272d8d201b4359ee991580d82c8f5d2',1,'lensing::has_dd()'],['../spectra_8h.html#afbc6c738740c33e18d3d303f5732f634',1,'spectra::has_dd()']]], - ['has_5fdensity_5ftransfers',['has_density_transfers',['../perturbations_8h.html#a66bf493f8b2c0ba1a325b0515c8016f1',1,'perturbs']]], - ['has_5fdl',['has_dl',['../spectra_8h.html#afe95d8f9c9ec3b8bc42d1cfcbc623617',1,'spectra']]], - ['has_5fdr',['has_dr',['../background_8h.html#af082409dbf48f0760f3ae9c0d9c94064',1,'background']]], - ['has_5fee',['has_ee',['../lensing_8h.html#a6c9bdc11a537514889967c770da62454',1,'lensing::has_ee()'],['../spectra_8h.html#a99c6dcf41a0eacbb4bf7d40b1f863c54',1,'spectra::has_ee()']]], - ['has_5fep',['has_ep',['../spectra_8h.html#a6f7d568e4cd0fe5af4eba76606990d21',1,'spectra']]], - ['has_5ffld',['has_fld',['../background_8h.html#a349bce42f3647a4eb964712e9ae55979',1,'background']]], - ['has_5flambda',['has_lambda',['../background_8h.html#ae37394e93a9affa2c4b2834835e377ff',1,'background']]], - ['has_5flensed_5fcls',['has_lensed_cls',['../lensing_8h.html#ae26244b4a356df2ac432dbbd2a1860f3',1,'lensing']]], - ['has_5fll',['has_ll',['../lensing_8h.html#afa2e2c2454a5709b4f138bb2a0918b69',1,'lensing::has_ll()'],['../spectra_8h.html#abb71a55dda8d9af0d7ff16484511f748',1,'spectra::has_ll()']]], - ['has_5flss',['has_lss',['../perturbations_8h.html#a793d6ea21df1d0c1ac395b7cb0ccb286',1,'perturbs']]], - ['has_5fmetricpotential_5ftransfers',['has_metricpotential_transfers',['../perturbations_8h.html#ad5176409e6b4a40f2bd6e0941778b433',1,'perturbs']]], - ['has_5fnc_5fdensity',['has_nc_density',['../perturbations_8h.html#a8f31b55e477131b930ec0ab420f07ae8',1,'perturbs']]], - ['has_5fnc_5fgr',['has_nc_gr',['../perturbations_8h.html#a884ac3cb3b6f0df6526dfbb12aedcc68',1,'perturbs']]], - ['has_5fnc_5flens',['has_nc_lens',['../perturbations_8h.html#a0dac978b624796b77ef2524fb5684219',1,'perturbs']]], - ['has_5fnc_5frsd',['has_nc_rsd',['../perturbations_8h.html#a1a4321650e9b7ca6188aee55641442d3',1,'perturbs']]], - ['has_5fncdm',['has_ncdm',['../background_8h.html#a2bffb876100e06719440ab70155d771e',1,'background']]], - ['has_5fnid',['has_nid',['../perturbations_8h.html#a607fe60ba4626c17d5b916e58c309929',1,'perturbs']]], - ['has_5fniv',['has_niv',['../perturbations_8h.html#a745628908c03bfc4e2be3a5ef5e8415f',1,'perturbs']]], - ['has_5fnl_5fcorrections_5fbased_5fon_5fdelta_5fm',['has_nl_corrections_based_on_delta_m',['../perturbations_8h.html#a9d4ef4638ee4a3b4b8b9ecc1c6ffea34',1,'perturbs']]], - ['has_5fnz_5fanalytic',['has_nz_analytic',['../transfer_8h.html#af262b11017ed9d84c33310b9c00abe4c',1,'transfers']]], - ['has_5fnz_5fevo_5fanalytic',['has_nz_evo_analytic',['../transfer_8h.html#a3416018376bd5fa824e70d0d6fe13895',1,'transfers']]], - ['has_5fnz_5fevo_5ffile',['has_nz_evo_file',['../transfer_8h.html#a7ce510733fc12ca3c9d2ac98cf1d3b08',1,'transfers']]], - ['has_5fnz_5ffile',['has_nz_file',['../transfer_8h.html#a14e959fc0d7bda1024931143936ccc66',1,'transfers']]], - ['has_5fon_5fthe_5fspot',['has_on_the_spot',['../thermodynamics_8h.html#ab832f907a088efc0d5961151a2fde139',1,'thermo::has_on_the_spot()'],['../thermodynamics_8h.html#a29e62566c5e6b619095da95ee4c2aed0',1,'recombination::has_on_the_spot()']]], - ['has_5fpd',['has_pd',['../spectra_8h.html#a9b96d2d94c28fbfd619659bd694f16c2',1,'spectra']]], - ['has_5fperturbations',['has_perturbations',['../perturbations_8h.html#a76a9f8c71d5a0b77fb5b9a4fad4c2ff0',1,'perturbs']]], - ['has_5fperturbed_5frecombination',['has_perturbed_recombination',['../perturbations_8h.html#a128215104a97772266e2a91e6df1a20d',1,'perturbs']]], - ['has_5fpk_5fcb',['has_pk_cb',['../structnonlinear.html#a545a784bf86e6304be4e2cf3f71e0a40',1,'nonlinear']]], - ['has_5fpk_5feq',['has_pk_eq',['../structnonlinear.html#ae559a841b4adf1affba72a9ee7aa6bb1',1,'nonlinear']]], - ['has_5fpk_5fm',['has_pk_m',['../structnonlinear.html#a187aed56225caf3f06e51f4eb9e6e62a',1,'nonlinear']]], - ['has_5fpk_5fmatter',['has_pk_matter',['../perturbations_8h.html#aa1ab742c10712d5bd5e3bf8e9c038f35',1,'perturbs']]], - ['has_5fpp',['has_pp',['../lensing_8h.html#acc4fa5ed870629b5316a8db955633a58',1,'lensing::has_pp()'],['../spectra_8h.html#a732653a2b76d2f306c002e54f763e787',1,'spectra::has_pp()']]], - ['has_5fscalars',['has_scalars',['../perturbations_8h.html#ad29f0bad04ea77581fe3b0ce7ac1443e',1,'perturbs']]], - ['has_5fscf',['has_scf',['../background_8h.html#acf1c4a6b4e8f2fe176ea9ef19a528333',1,'background']]], - ['has_5fsource_5fdelta_5fb',['has_source_delta_b',['../perturbations_8h.html#a41c758549328599f8d76f751b0c03ba5',1,'perturbs']]], - ['has_5fsource_5fdelta_5fcb',['has_source_delta_cb',['../perturbations_8h.html#a7a99fbd4d9c4e33b71c2c6a771429edf',1,'perturbs']]], - ['has_5fsource_5fdelta_5fcdm',['has_source_delta_cdm',['../perturbations_8h.html#a0e98b3d1c062f672173c4fead449b1d2',1,'perturbs']]], - ['has_5fsource_5fdelta_5fdcdm',['has_source_delta_dcdm',['../perturbations_8h.html#a7c73cc67a9335713544b8204a626dfbf',1,'perturbs']]], - ['has_5fsource_5fdelta_5fdr',['has_source_delta_dr',['../perturbations_8h.html#a57a2335d0cf53db60ace61d6ea463b91',1,'perturbs']]], - ['has_5fsource_5fdelta_5ffld',['has_source_delta_fld',['../perturbations_8h.html#af240e3b045dcef6d9daffae34299f022',1,'perturbs']]], - ['has_5fsource_5fdelta_5fg',['has_source_delta_g',['../perturbations_8h.html#a22574f78bf9e6ef7fecea7163ce014fd',1,'perturbs']]], - ['has_5fsource_5fdelta_5fm',['has_source_delta_m',['../perturbations_8h.html#a9d3e2eefcdeba35cb04b8ddeefc93138',1,'perturbs']]], - ['has_5fsource_5fdelta_5fncdm',['has_source_delta_ncdm',['../perturbations_8h.html#a8b736b4d86cf75cd0e3e659fa366e471',1,'perturbs']]], - ['has_5fsource_5fdelta_5fscf',['has_source_delta_scf',['../perturbations_8h.html#a133c59b3c501eae1b39618dc7858fadb',1,'perturbs']]], - ['has_5fsource_5fdelta_5fur',['has_source_delta_ur',['../perturbations_8h.html#a37ad2e728883cded1fd1049b85280ca0',1,'perturbs']]], - ['has_5fsource_5feta',['has_source_eta',['../perturbations_8h.html#a3d7242ad3ae11205ae3c470f77291207',1,'perturbs']]], - ['has_5fsource_5feta_5fprime',['has_source_eta_prime',['../perturbations_8h.html#ae0e7f9472967ca42f7b950774bd57a5a',1,'perturbs']]], - ['has_5fsource_5fh',['has_source_h',['../perturbations_8h.html#ae3887f5812704c606eb8d147088d628c',1,'perturbs']]], - ['has_5fsource_5fh_5fprime',['has_source_h_prime',['../perturbations_8h.html#ad4c8e3aee17aa66c1ec6575b8375a22b',1,'perturbs']]], - ['has_5fsource_5fp',['has_source_p',['../perturbations_8h.html#a7b65eee1d2324cc54ba5b41b3aa92f9b',1,'perturbs']]], - ['has_5fsource_5fphi',['has_source_phi',['../perturbations_8h.html#a686c1976504816fe3e84e3957acf0316',1,'perturbs']]], - ['has_5fsource_5fphi_5fplus_5fpsi',['has_source_phi_plus_psi',['../perturbations_8h.html#a8308ff9d94f659b8a55af4c5a27d02ac',1,'perturbs']]], - ['has_5fsource_5fphi_5fprime',['has_source_phi_prime',['../perturbations_8h.html#a036eb0ecd1038d981a9a87f70ac63b47',1,'perturbs']]], - ['has_5fsource_5fpsi',['has_source_psi',['../perturbations_8h.html#a8796782640ad93da21f21a8d983a30f5',1,'perturbs']]], - ['has_5fsource_5ft',['has_source_t',['../perturbations_8h.html#ab5ef146b01c6b2757d1c49f6c05d466a',1,'perturbs']]], - ['has_5fsource_5ftheta_5fb',['has_source_theta_b',['../perturbations_8h.html#af3ea9a0f4b4c292d2ffd9dd341c3b780',1,'perturbs']]], - ['has_5fsource_5ftheta_5fcb',['has_source_theta_cb',['../perturbations_8h.html#a810e72671bb00eba25d16496f01d24c0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fcdm',['has_source_theta_cdm',['../perturbations_8h.html#aab541b354516fcd9da0afcb26a9fed2f',1,'perturbs']]], - ['has_5fsource_5ftheta_5fdcdm',['has_source_theta_dcdm',['../perturbations_8h.html#adda35d646eba2eabc09a21861effb845',1,'perturbs']]], - ['has_5fsource_5ftheta_5fdr',['has_source_theta_dr',['../perturbations_8h.html#ae2d6794a43a4934ac736d15047118231',1,'perturbs']]], - ['has_5fsource_5ftheta_5ffld',['has_source_theta_fld',['../perturbations_8h.html#a7844fa1f1b92db322eae436fc0ff8c32',1,'perturbs']]], - ['has_5fsource_5ftheta_5fg',['has_source_theta_g',['../perturbations_8h.html#a4fefb7e583efc7cb8be65dff695f52e0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fm',['has_source_theta_m',['../perturbations_8h.html#a0fb2447711f3ded5eab62d1a6cddc36a',1,'perturbs']]], - ['has_5fsource_5ftheta_5fncdm',['has_source_theta_ncdm',['../perturbations_8h.html#ad2fc382c6e6b9d6ac7b780affef29e95',1,'perturbs']]], - ['has_5fsource_5ftheta_5fscf',['has_source_theta_scf',['../perturbations_8h.html#acfb91ecfbe6dafb7458fbd04d5a79df0',1,'perturbs']]], - ['has_5fsource_5ftheta_5fur',['has_source_theta_ur',['../perturbations_8h.html#a3723f0c782ffe5035d3bc7291468bfba',1,'perturbs']]], - ['has_5ftd',['has_td',['../lensing_8h.html#a02347a6282806a07febdf60beeaf3867',1,'lensing::has_td()'],['../spectra_8h.html#af219b311ac4022c97f497bdfe892a5bb',1,'spectra::has_td()']]], - ['has_5fte',['has_te',['../lensing_8h.html#a07010b7121450b62d4d5831306524d55',1,'lensing::has_te()'],['../spectra_8h.html#ab904a91528ca41610646429d986a8801',1,'spectra::has_te()']]], - ['has_5ftensors',['has_tensors',['../perturbations_8h.html#a7a82f6ff4026b7ffae9ba1b982824d0a',1,'perturbs']]], - ['has_5ftl',['has_tl',['../lensing_8h.html#a8fb9290e3e7fc434f1dd8280ff26b940',1,'lensing::has_tl()'],['../spectra_8h.html#a6de97e5e3d3949212fb99b6fb1b944f0',1,'spectra::has_tl()']]], - ['has_5ftp',['has_tp',['../lensing_8h.html#ab36938c722105e517f0e7b54d188cd0b',1,'lensing::has_tp()'],['../spectra_8h.html#a7edbc0f9007b4114cedb0db21dd77fee',1,'spectra::has_tp()']]], - ['has_5ftt',['has_tt',['../lensing_8h.html#a0dc88f938ae752059a638ad83a351987',1,'lensing::has_tt()'],['../spectra_8h.html#a2a2bb15ccf3b757b45240163ab803c7c',1,'spectra::has_tt()']]], - ['has_5fur',['has_ur',['../background_8h.html#a8117c138bbf5229a82a75e7050bbbcb6',1,'background']]], - ['has_5fvectors',['has_vectors',['../perturbations_8h.html#ad0fe110b40dede9e160b80414ab8f036',1,'perturbs']]], - ['has_5fvelocity_5ftransfers',['has_velocity_transfers',['../perturbations_8h.html#ad5bbee359d1ac8e84472727dfb292ca8',1,'perturbs']]], - ['helium_5ffullreio_5fredshift',['helium_fullreio_redshift',['../thermodynamics_8h.html#a4b0d41186002feda14910e2b70948c22',1,'thermo']]], - ['helium_5ffullreio_5fwidth',['helium_fullreio_width',['../thermodynamics_8h.html#a8f3047a7ce30970e752971bb4786ed57',1,'thermo']]], - ['his',['HIS',['../transfer_8h.html#aa81c012b8c0040001cedd2240dcf03be',1,'transfer_workspace']]], - ['his_5fallocated',['HIS_allocated',['../transfer_8h.html#aa82073c726b255bc6d85aa2ed7e59b2f',1,'transfer_workspace']]], - ['hyper_5fflat_5fapproximation_5fnu',['hyper_flat_approximation_nu',['../common_8h.html#a2c3a1bd14bb08d08f5dbbd9b098a5d7c',1,'precision']]], - ['hyper_5fnu_5fsampling_5fstep',['hyper_nu_sampling_step',['../common_8h.html#add96752739b131bd7f329e61ca1eb801',1,'precision']]], - ['hyper_5fphi_5fmin_5fabs',['hyper_phi_min_abs',['../common_8h.html#a4cc34c4de7bf45fc14eb899b98194f87',1,'precision']]], - ['hyper_5fsampling_5fcurved_5fhigh_5fnu',['hyper_sampling_curved_high_nu',['../common_8h.html#a189424c601a1aa57d416c2521d97d28e',1,'precision']]], - ['hyper_5fsampling_5fcurved_5flow_5fnu',['hyper_sampling_curved_low_nu',['../common_8h.html#a1f1cefc01fe7577c13fa29ff72fd7f33',1,'precision']]], - ['hyper_5fsampling_5fflat',['hyper_sampling_flat',['../common_8h.html#a341a7c9f5eae2a34e5b7cdce7b7f7cd4',1,'precision']]], - ['hyper_5fx_5fmin',['hyper_x_min',['../common_8h.html#afff52b2c2abfeb40dae00d962673863c',1,'precision']]], - ['hyper_5fx_5ftol',['hyper_x_tol',['../common_8h.html#ae5cb43b403222a7893e92f41289b8682',1,'precision']]] -]; diff --git a/doc/manual/html/search/variables_8.html b/doc/manual/html/search/variables_8.html deleted file mode 100644 index d54d0966..00000000 --- a/doc/manual/html/search/variables_8.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_8.js b/doc/manual/html/search/variables_8.js deleted file mode 100644 index c11040f9..00000000 --- a/doc/manual/html/search/variables_8.js +++ /dev/null @@ -1,272 +0,0 @@ -var searchData= -[ - ['ic_5fic_5fsize',['ic_ic_size',['../primordial_8h.html#a07491e43f7d49a482b4933bbcc5ab863',1,'primordial::ic_ic_size()'],['../spectra_8h.html#a8e47432eaaa855acf8fa4b8c69839946',1,'spectra::ic_ic_size()']]], - ['ic_5fsize',['ic_size',['../perturbations_8h.html#a9f1f66e82459aec9e7cbba63e2f80dca',1,'perturbs::ic_size()'],['../primordial_8h.html#aafdffaddd6bf88e0ab20ff1cd7c98ada',1,'primordial::ic_size()'],['../spectra_8h.html#a04fcaac0b981bae0578a589d7286a6a9',1,'spectra::ic_size()']]], - ['in_5fbg_5fsize',['in_bg_size',['../primordial_8h.html#a77c9ecf27ef37e9b6076a04ba773122c',1,'primordial']]], - ['in_5fsize',['in_size',['../primordial_8h.html#a18b8d9da6a18ca2a7b0ad2270be60d68',1,'primordial']]], - ['index_5fap_5fncdmfa',['index_ap_ncdmfa',['../perturbations_8h.html#a78eb21d11cdb29b5c2015fdaa6da16d7',1,'perturb_workspace']]], - ['index_5fap_5frsa',['index_ap_rsa',['../perturbations_8h.html#a92d79a0a551fd1771a89970e4bee87e5',1,'perturb_workspace']]], - ['index_5fap_5ftca',['index_ap_tca',['../perturbations_8h.html#a280d268cf43e9d220d3998461b60db18',1,'perturb_workspace']]], - ['index_5fap_5fufa',['index_ap_ufa',['../perturbations_8h.html#a18dae1f9da2c3bf3d5922e4cf0687c2f',1,'perturb_workspace']]], - ['index_5fbg_5fa',['index_bg_a',['../background_8h.html#a593a3f0c2f0115b8e6bd8dcce4f9c124',1,'background']]], - ['index_5fbg_5fang_5fdistance',['index_bg_ang_distance',['../background_8h.html#ae87937fbee956b5f723f1f4128805b87',1,'background']]], - ['index_5fbg_5fconf_5fdistance',['index_bg_conf_distance',['../background_8h.html#a1cd4697edfdaf27a545e8a10df000b84',1,'background']]], - ['index_5fbg_5fd',['index_bg_D',['../background_8h.html#a3470694d0cc6fdd65b8ee3779e82a7de',1,'background']]], - ['index_5fbg_5fddv_5fscf',['index_bg_ddV_scf',['../background_8h.html#afe0c7d22dfab02ef5352a31a2a3a2ce5',1,'background']]], - ['index_5fbg_5fdv_5fscf',['index_bg_dV_scf',['../background_8h.html#ad61281e0d8ab2cbbda08bad2a245d33c',1,'background']]], - ['index_5fbg_5ff',['index_bg_f',['../background_8h.html#ae5229379ae0fbef095037f4b41b84ebb',1,'background']]], - ['index_5fbg_5fh',['index_bg_H',['../background_8h.html#a5795fdaf5c2549ce387db6e6e34cac1f',1,'background']]], - ['index_5fbg_5fh_5fprime',['index_bg_H_prime',['../background_8h.html#ac57789197f9f7eadbc81d73108bbadeb',1,'background']]], - ['index_5fbg_5flum_5fdistance',['index_bg_lum_distance',['../background_8h.html#ae2e0c57155c34687bd86cb85a05dcbef',1,'background']]], - ['index_5fbg_5fomega_5fm',['index_bg_Omega_m',['../background_8h.html#ae47d2c68eacf8948db4ee45f0ae34aef',1,'background']]], - ['index_5fbg_5fomega_5fr',['index_bg_Omega_r',['../background_8h.html#a10a925400b473297ae9e8b1f37ea461a',1,'background']]], - ['index_5fbg_5fp_5fncdm1',['index_bg_p_ncdm1',['../background_8h.html#a1c91022c26391cf130030b36755a964f',1,'background']]], - ['index_5fbg_5fp_5fscf',['index_bg_p_scf',['../background_8h.html#af2f38dc9fe1b4e69c9f06034ee894ef0',1,'background']]], - ['index_5fbg_5fphi_5fprime_5fscf',['index_bg_phi_prime_scf',['../background_8h.html#a04237a12fb35d488496706148a4921a5',1,'background']]], - ['index_5fbg_5fphi_5fscf',['index_bg_phi_scf',['../background_8h.html#a97cf6a8c0b0a7601947b8cd9638122a1',1,'background']]], - ['index_5fbg_5fpseudo_5fp_5fncdm1',['index_bg_pseudo_p_ncdm1',['../background_8h.html#ad6df08a252026b6514cba9aae2b2c698',1,'background']]], - ['index_5fbg_5frho_5fb',['index_bg_rho_b',['../background_8h.html#a09c4edd6c3c211b3d857d23a05687111',1,'background']]], - ['index_5fbg_5frho_5fcdm',['index_bg_rho_cdm',['../background_8h.html#ac1e98d23829d9b6f1eab33fb4b29ca8d',1,'background']]], - ['index_5fbg_5frho_5fcrit',['index_bg_rho_crit',['../background_8h.html#a463ac213d2e440f9118ba07dfd3824ec',1,'background']]], - ['index_5fbg_5frho_5fdcdm',['index_bg_rho_dcdm',['../background_8h.html#afe423543b65814cbc80f4d20011e705e',1,'background']]], - ['index_5fbg_5frho_5fdr',['index_bg_rho_dr',['../background_8h.html#ae22a92f574ae53ef72e420ad9e603db3',1,'background']]], - ['index_5fbg_5frho_5ffld',['index_bg_rho_fld',['../background_8h.html#acb3cc80f1ce74073316b89f5e578add8',1,'background']]], - ['index_5fbg_5frho_5fg',['index_bg_rho_g',['../background_8h.html#ae8e15dc91ec567f4e910ea903f643614',1,'background']]], - ['index_5fbg_5frho_5flambda',['index_bg_rho_lambda',['../background_8h.html#a636f3702f62a1c750f86235a3e79170b',1,'background']]], - ['index_5fbg_5frho_5fncdm1',['index_bg_rho_ncdm1',['../background_8h.html#acc7706223e8fceafc067f1a9236c13d6',1,'background']]], - ['index_5fbg_5frho_5fscf',['index_bg_rho_scf',['../background_8h.html#a984adc2397c5b4ac589138a82ffc747f',1,'background']]], - ['index_5fbg_5frho_5fur',['index_bg_rho_ur',['../background_8h.html#a62951157a480d01724066a4da30d7349',1,'background']]], - ['index_5fbg_5frs',['index_bg_rs',['../background_8h.html#a378cad9f38f57409b3d74644058c73b9',1,'background']]], - ['index_5fbg_5ftime',['index_bg_time',['../background_8h.html#af410bf7812e2ae6ddaa079cda7c651e5',1,'background']]], - ['index_5fbg_5fv_5fscf',['index_bg_V_scf',['../background_8h.html#a8b1950c9963389d233e8c5c2bd334253',1,'background']]], - ['index_5fbg_5fw_5ffld',['index_bg_w_fld',['../background_8h.html#a20facea823bf59d21ed4ea8f032d60b0',1,'background']]], - ['index_5fbi_5fa',['index_bi_a',['../background_8h.html#a671c3e493d495a09ad84cf711f768319',1,'background']]], - ['index_5fbi_5fd',['index_bi_D',['../background_8h.html#a7a77fcef21713f98f673adfbca8626ab',1,'background']]], - ['index_5fbi_5fd_5fprime',['index_bi_D_prime',['../background_8h.html#a77d7f46ffcd47060d8405269da53323e',1,'background']]], - ['index_5fbi_5fphi_5fprime_5fscf',['index_bi_phi_prime_scf',['../background_8h.html#a0a84b0e9c235a84797ff7aadccb503c7',1,'background']]], - ['index_5fbi_5fphi_5fscf',['index_bi_phi_scf',['../background_8h.html#a80e59fe1ab510c77237bf8af5d4d7503',1,'background']]], - ['index_5fbi_5frho_5fdcdm',['index_bi_rho_dcdm',['../background_8h.html#a1f0b07c67119bfe37a6f0fe1736d05eb',1,'background']]], - ['index_5fbi_5frho_5fdr',['index_bi_rho_dr',['../background_8h.html#a38e5634e610152ae8a8dc17833a1df18',1,'background']]], - ['index_5fbi_5frho_5ffld',['index_bi_rho_fld',['../background_8h.html#aa782576001653604be0f3e5d0beeb60d',1,'background']]], - ['index_5fbi_5frs',['index_bi_rs',['../background_8h.html#aa1e98bc1d8a00d66d49b65661bf0e573',1,'background']]], - ['index_5fbi_5ftau',['index_bi_tau',['../background_8h.html#a6783cf535f070212a6a392c581bb863b',1,'background']]], - ['index_5fbi_5ftime',['index_bi_time',['../background_8h.html#a9c0a391c023f5e1eb67dd928b2a699a3',1,'background']]], - ['index_5fct_5fbb',['index_ct_bb',['../spectra_8h.html#a91f38cb182b179501e2883e887d8313c',1,'spectra']]], - ['index_5fct_5fdd',['index_ct_dd',['../spectra_8h.html#a751ded2cebb892fbfff4bc7047cd2ea2',1,'spectra']]], - ['index_5fct_5fdl',['index_ct_dl',['../spectra_8h.html#a75c775132532bded47ce1ca6bdd10638',1,'spectra']]], - ['index_5fct_5fee',['index_ct_ee',['../spectra_8h.html#aad1923de8e05ad8815149eb5e1c41722',1,'spectra']]], - ['index_5fct_5fep',['index_ct_ep',['../spectra_8h.html#a50dcb624d60d0cc2f3a9717331380067',1,'spectra']]], - ['index_5fct_5fll',['index_ct_ll',['../spectra_8h.html#aa399283446043b9560df20f419e09555',1,'spectra']]], - ['index_5fct_5fpd',['index_ct_pd',['../spectra_8h.html#ad4d6dd84ede70607ae84673a69fe06ef',1,'spectra']]], - ['index_5fct_5fpp',['index_ct_pp',['../spectra_8h.html#a2924e0891623e332b76561e1e206a6b4',1,'spectra']]], - ['index_5fct_5ftd',['index_ct_td',['../spectra_8h.html#a580bc800704dde768830741cecdb7c17',1,'spectra']]], - ['index_5fct_5fte',['index_ct_te',['../spectra_8h.html#a7ee0a2f4abb312842c2d4e41d41ed451',1,'spectra']]], - ['index_5fct_5ftl',['index_ct_tl',['../spectra_8h.html#ad872e01a0e62577a346cd3ad10745bfb',1,'spectra']]], - ['index_5fct_5ftp',['index_ct_tp',['../spectra_8h.html#a762b191d61c440cbab702481db01c939',1,'spectra']]], - ['index_5fct_5ftt',['index_ct_tt',['../spectra_8h.html#a4160542d7473d58a6bb0a170661d4b36',1,'spectra']]], - ['index_5fhelium_5ffullreio_5ffraction',['index_helium_fullreio_fraction',['../thermodynamics_8h.html#a0ac53466d05be75908b9d2fb604cafeb',1,'reionization']]], - ['index_5fhelium_5ffullreio_5fredshift',['index_helium_fullreio_redshift',['../thermodynamics_8h.html#a2e3bfbcd86b070e7ed8bfc206d4caa66',1,'reionization']]], - ['index_5fhelium_5ffullreio_5fwidth',['index_helium_fullreio_width',['../thermodynamics_8h.html#ae8a43e7dc408dc75d9326f17ee47f7de',1,'reionization']]], - ['index_5fic',['index_ic',['../perturbations_8h.html#a7178258a45506d84676c9a5b3aca789b',1,'perturb_parameters_and_workspace']]], - ['index_5fic_5fad',['index_ic_ad',['../perturbations_8h.html#a17d9ef49c94d978612bfe815218d4f44',1,'perturbs']]], - ['index_5fic_5fbi',['index_ic_bi',['../perturbations_8h.html#a8623cf4d1ce03a7239582caab0d21a37',1,'perturbs']]], - ['index_5fic_5fcdi',['index_ic_cdi',['../perturbations_8h.html#a5736784d0ec9639c02085acea8fb748c',1,'perturbs']]], - ['index_5fic_5fnid',['index_ic_nid',['../perturbations_8h.html#a6a16192fc67d2118a2d2481c6ac4bda5',1,'perturbs']]], - ['index_5fic_5fniv',['index_ic_niv',['../perturbations_8h.html#a9d40d85d9fd65bd8d949467ea8a37f43',1,'perturbs']]], - ['index_5fic_5ften',['index_ic_ten',['../perturbations_8h.html#a400534882269fef5a058590d43bdb594',1,'perturbs']]], - ['index_5fikout',['index_ikout',['../perturbations_8h.html#abb4235fd40baf5fb02e7128325102d93',1,'perturb_workspace']]], - ['index_5fin_5fa',['index_in_a',['../primordial_8h.html#a3bad57f1f09247e009931ca18f90b18b',1,'primordial']]], - ['index_5fin_5fah_5fim',['index_in_ah_im',['../primordial_8h.html#ad175238b397a4bd4aa6b3107fb997940',1,'primordial']]], - ['index_5fin_5fah_5fre',['index_in_ah_re',['../primordial_8h.html#ab78a3ce2a71acaf37d40fdd69e46c534',1,'primordial']]], - ['index_5fin_5fdah_5fim',['index_in_dah_im',['../primordial_8h.html#a83d532cbcf0325f00adf1db329f51fb3',1,'primordial']]], - ['index_5fin_5fdah_5fre',['index_in_dah_re',['../primordial_8h.html#a946f8285f62cf37e2aee687d6f93f2c4',1,'primordial']]], - ['index_5fin_5fdksi_5fim',['index_in_dksi_im',['../primordial_8h.html#a8d6a98904ab8543f72aaf620d4c74dc4',1,'primordial']]], - ['index_5fin_5fdksi_5fre',['index_in_dksi_re',['../primordial_8h.html#a32df0c3f20477101063a2623e3e7d08e',1,'primordial']]], - ['index_5fin_5fdphi',['index_in_dphi',['../primordial_8h.html#aaa52b1ee0b41c9bc458e5cd85e69ca9e',1,'primordial']]], - ['index_5fin_5fksi_5fim',['index_in_ksi_im',['../primordial_8h.html#a69c742a47764298d8583712cd0010cc0',1,'primordial']]], - ['index_5fin_5fksi_5fre',['index_in_ksi_re',['../primordial_8h.html#a2795fe40be88d791a351fba76104584c',1,'primordial']]], - ['index_5fin_5fphi',['index_in_phi',['../primordial_8h.html#a94172d7b5672c3cc3a4ffb76bea94f75',1,'primordial']]], - ['index_5fk',['index_k',['../perturbations_8h.html#a187fd102451e69edf20e7c671f46fa9a',1,'perturb_parameters_and_workspace']]], - ['index_5fk_5foutput_5fvalues',['index_k_output_values',['../perturbations_8h.html#ae00f9b481983465f4d9c648e1ad03d11',1,'perturbs']]], - ['index_5flt_5fbb',['index_lt_bb',['../lensing_8h.html#aad717db8e3fb90861386661b544566e2',1,'lensing']]], - ['index_5flt_5fdd',['index_lt_dd',['../lensing_8h.html#a23ae6d7191c915d65035ec33ad950ebe',1,'lensing']]], - ['index_5flt_5fee',['index_lt_ee',['../lensing_8h.html#a9d18f475d810e3b2cc06565f4e6e8fcc',1,'lensing']]], - ['index_5flt_5fll',['index_lt_ll',['../lensing_8h.html#a7cded4ce178f745f2186b9165d4f4c0d',1,'lensing']]], - ['index_5flt_5fpp',['index_lt_pp',['../lensing_8h.html#ad355d99091371c078d6410a2807cb046',1,'lensing']]], - ['index_5flt_5ftd',['index_lt_td',['../lensing_8h.html#a24b997d7f7d7b2d04a32d19b2aa2a52d',1,'lensing']]], - ['index_5flt_5fte',['index_lt_te',['../lensing_8h.html#a3b53da5a740368c36e797026898a0885',1,'lensing']]], - ['index_5flt_5ftl',['index_lt_tl',['../lensing_8h.html#a9f165327a081698b2b0791eb600d398e',1,'lensing']]], - ['index_5flt_5ftp',['index_lt_tp',['../lensing_8h.html#a8ab43d19ed6b15ae77dac5ad04d41648',1,'lensing']]], - ['index_5flt_5ftt',['index_lt_tt',['../lensing_8h.html#a49ee95997f34edd81965f2a6a0832b29',1,'lensing']]], - ['index_5fmd',['index_md',['../perturbations_8h.html#aef765aac8cfbd4220e429d1bd5751178',1,'perturb_parameters_and_workspace']]], - ['index_5fmd_5fscalars',['index_md_scalars',['../perturbations_8h.html#a32c10dde8e52db3d69cec5474c23ae9c',1,'perturbs::index_md_scalars()'],['../spectra_8h.html#a9e42c62fdd7493645498f58101be058b',1,'spectra::index_md_scalars()']]], - ['index_5fmd_5ftensors',['index_md_tensors',['../perturbations_8h.html#affb2ab5653ec3a5c1bd4f18829034f62',1,'perturbs']]], - ['index_5fmd_5fvectors',['index_md_vectors',['../perturbations_8h.html#acfb714cadd0c7353ee1f574c6b978f60',1,'perturbs']]], - ['index_5fmt_5falpha',['index_mt_alpha',['../perturbations_8h.html#aa103c49393b1dbb937e4a7b0f8d7cffa',1,'perturb_workspace']]], - ['index_5fmt_5falpha_5fprime',['index_mt_alpha_prime',['../perturbations_8h.html#aed8cdddd960da687b6792a55c205e9c0',1,'perturb_workspace']]], - ['index_5fmt_5feta_5fprime',['index_mt_eta_prime',['../perturbations_8h.html#a666f67b8d64977fbf65f038bd19f2d46',1,'perturb_workspace']]], - ['index_5fmt_5fgw_5fprime_5fprime',['index_mt_gw_prime_prime',['../perturbations_8h.html#a87310f6e5353ddaa5b49d46e0c736f9e',1,'perturb_workspace']]], - ['index_5fmt_5fh_5fprime',['index_mt_h_prime',['../perturbations_8h.html#a9225f59a88f96be135afa7ce4d755f87',1,'perturb_workspace']]], - ['index_5fmt_5fh_5fprime_5fprime',['index_mt_h_prime_prime',['../perturbations_8h.html#a3a7020dd7dc5fcdb878474a6cd2ea444',1,'perturb_workspace']]], - ['index_5fmt_5fhv_5fprime_5fprime',['index_mt_hv_prime_prime',['../perturbations_8h.html#a916ecd103081eb721650f1e8c663df3a',1,'perturb_workspace']]], - ['index_5fmt_5fphi_5fprime',['index_mt_phi_prime',['../perturbations_8h.html#a7bd0187d2d946e64bc133778b8084fec',1,'perturb_workspace']]], - ['index_5fmt_5fpsi',['index_mt_psi',['../perturbations_8h.html#afd5c92d56c1124dc8840a0cf6cb39ee6',1,'perturb_workspace']]], - ['index_5fmt_5fv_5fprime',['index_mt_V_prime',['../perturbations_8h.html#a92ca15273b436bda7a5da46e8418b7c3',1,'perturb_workspace']]], - ['index_5fpk_5fcb',['index_pk_cb',['../structnonlinear.html#ab71f6984b0a86b82ce4bab5d78470461',1,'nonlinear']]], - ['index_5fpk_5feq_5fomega_5fm',['index_pk_eq_Omega_m',['../structnonlinear.html#ac66d364d9298f36b1484a0a15ea4873d',1,'nonlinear']]], - ['index_5fpk_5feq_5fw',['index_pk_eq_w',['../structnonlinear.html#a5c720896659696f417d34605693c1e58',1,'nonlinear']]], - ['index_5fpk_5fm',['index_pk_m',['../structnonlinear.html#a83116d2c8e45607d4b65bc4f627195ab',1,'nonlinear']]], - ['index_5fpt_5fdelta_5fb',['index_pt_delta_b',['../perturbations_8h.html#a16fbcd88994a8cf9c7632ec1c9e4f553',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fcdm',['index_pt_delta_cdm',['../perturbations_8h.html#a2d0672d9810af281bbd57dd8e0bc45e0',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fdcdm',['index_pt_delta_dcdm',['../perturbations_8h.html#af76d96d0fff10c8d2d82db168fbb3178',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5ffld',['index_pt_delta_fld',['../perturbations_8h.html#a2ba29ae12a6e302ce402414725e33789',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fg',['index_pt_delta_g',['../perturbations_8h.html#a9fccbd67eed54ae6ba9d9b40cfa71bec',1,'perturb_vector']]], - ['index_5fpt_5fdelta_5fur',['index_pt_delta_ur',['../perturbations_8h.html#a5a0627cf3b3a1c743cac4e3264444c3a',1,'perturb_vector']]], - ['index_5fpt_5feta',['index_pt_eta',['../perturbations_8h.html#a12b3bd7ce80d457b497946a1de670541',1,'perturb_vector']]], - ['index_5fpt_5ff0_5fdr',['index_pt_F0_dr',['../perturbations_8h.html#a74e3f73cec03550a244e58d6af7e450e',1,'perturb_vector']]], - ['index_5fpt_5fgamma_5ffld',['index_pt_Gamma_fld',['../perturbations_8h.html#a1c321640393390c1a9939892074a1a90',1,'perturb_vector']]], - ['index_5fpt_5fgw',['index_pt_gw',['../perturbations_8h.html#ab2097add2b90dc15c796f3e1d0fd3444',1,'perturb_vector']]], - ['index_5fpt_5fgwdot',['index_pt_gwdot',['../perturbations_8h.html#a449e8d1b51d78fb4fd2b742c015680ac',1,'perturb_vector']]], - ['index_5fpt_5fhv_5fprime',['index_pt_hv_prime',['../perturbations_8h.html#a78ce21034b6fa10987efc528243fcc78',1,'perturb_vector']]], - ['index_5fpt_5fl3_5fg',['index_pt_l3_g',['../perturbations_8h.html#a1912c81c639e2bdbc2acae225218cfe1',1,'perturb_vector']]], - ['index_5fpt_5fl3_5fur',['index_pt_l3_ur',['../perturbations_8h.html#a4ab672f9859787035b3d215b71c79e20',1,'perturb_vector']]], - ['index_5fpt_5fperturbed_5frecombination_5fdelta_5fchi',['index_pt_perturbed_recombination_delta_chi',['../perturbations_8h.html#ad4be8bbad446bb04f8db2a23b2dec459',1,'perturb_vector']]], - ['index_5fpt_5fperturbed_5frecombination_5fdelta_5ftemp',['index_pt_perturbed_recombination_delta_temp',['../perturbations_8h.html#a04c1e6b465288d441563913845925aa5',1,'perturb_vector']]], - ['index_5fpt_5fphi',['index_pt_phi',['../perturbations_8h.html#afede46f1464b28b09cb6ab93a7aab972',1,'perturb_vector']]], - ['index_5fpt_5fphi_5fprime_5fscf',['index_pt_phi_prime_scf',['../perturbations_8h.html#a3302f70bf8b89c982fa60399e7f54114',1,'perturb_vector']]], - ['index_5fpt_5fphi_5fscf',['index_pt_phi_scf',['../perturbations_8h.html#a3ee8bc8b3b99653b7df06d7752fe946d',1,'perturb_vector']]], - ['index_5fpt_5fpol0_5fg',['index_pt_pol0_g',['../perturbations_8h.html#a6c86cc5b9952ba3e57c1dd4718b5efb4',1,'perturb_vector']]], - ['index_5fpt_5fpol1_5fg',['index_pt_pol1_g',['../perturbations_8h.html#ada9e2cf5f0295b39926a3951656aef37',1,'perturb_vector']]], - ['index_5fpt_5fpol2_5fg',['index_pt_pol2_g',['../perturbations_8h.html#a373c2c3b94de9a8cc782a09cd412e770',1,'perturb_vector']]], - ['index_5fpt_5fpol3_5fg',['index_pt_pol3_g',['../perturbations_8h.html#a15b4829ed1106821f597d88a7d11ae8f',1,'perturb_vector']]], - ['index_5fpt_5fpsi0_5fncdm1',['index_pt_psi0_ncdm1',['../perturbations_8h.html#aa3cfdd79a1b2f1c29d9f6cac9dede623',1,'perturb_vector']]], - ['index_5fpt_5fshear_5fg',['index_pt_shear_g',['../perturbations_8h.html#ac6a6cbb08e570113979bf761f2bcd2aa',1,'perturb_vector']]], - ['index_5fpt_5fshear_5fur',['index_pt_shear_ur',['../perturbations_8h.html#abad5caed26511fe4cc94451a96a1f616',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fb',['index_pt_theta_b',['../perturbations_8h.html#a2dc4c948ae128a205c6b8cc30e9e35d0',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fcdm',['index_pt_theta_cdm',['../perturbations_8h.html#ae3f3ac985682910540fba1c28e31a646',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fdcdm',['index_pt_theta_dcdm',['../perturbations_8h.html#a0e5b783604c49ed75aef9f4236dcfbc4',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5ffld',['index_pt_theta_fld',['../perturbations_8h.html#ac9a5e67be69b5f0e5e9b989955d83cc6',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fg',['index_pt_theta_g',['../perturbations_8h.html#a21bdf09185252991804b7b0fbc33f9c1',1,'perturb_vector']]], - ['index_5fpt_5ftheta_5fur',['index_pt_theta_ur',['../perturbations_8h.html#a8f7caa6398b77370356e74a206c00ba7',1,'perturb_vector']]], - ['index_5fpt_5fv',['index_pt_V',['../perturbations_8h.html#a80aa943cbbbf4c8e11ac11aea02cf8e3',1,'perturb_vector']]], - ['index_5fq_5fflat_5fapproximation',['index_q_flat_approximation',['../transfer_8h.html#abe42ba40eb07199c939aafb173cb0da3',1,'transfers']]], - ['index_5fre_5fcb2',['index_re_cb2',['../thermodynamics_8h.html#ac1021ee3aee51a9b817dc157743f439e',1,'recombination::index_re_cb2()'],['../thermodynamics_8h.html#a9c954280df1c66aa9ce310027e5f40f0',1,'reionization::index_re_cb2()']]], - ['index_5fre_5fd3kappadz3',['index_re_d3kappadz3',['../thermodynamics_8h.html#ae48e17df06ae25896d07c577b899e73a',1,'reionization']]], - ['index_5fre_5fdkappadtau',['index_re_dkappadtau',['../thermodynamics_8h.html#a736fa0d9d85df37cd263e52836a2832c',1,'recombination::index_re_dkappadtau()'],['../thermodynamics_8h.html#a31e40c647a35a19c1b897c052b851d76',1,'reionization::index_re_dkappadtau()']]], - ['index_5fre_5fdkappadz',['index_re_dkappadz',['../thermodynamics_8h.html#ae70e176cb531f8c78076df0160b4fed1',1,'reionization']]], - ['index_5fre_5ftb',['index_re_Tb',['../thermodynamics_8h.html#af6bce690db2626b95cc89bbff1e9041e',1,'recombination::index_re_Tb()'],['../thermodynamics_8h.html#a33f283d298003ee0b95cfda1860daa35',1,'reionization::index_re_Tb()']]], - ['index_5fre_5fxe',['index_re_xe',['../thermodynamics_8h.html#a95860e65cf521feaa5540737c98d6c10',1,'recombination::index_re_xe()'],['../thermodynamics_8h.html#a495ca44c6e0ef658aba9915b1c9b848f',1,'reionization::index_re_xe()']]], - ['index_5fre_5fz',['index_re_z',['../thermodynamics_8h.html#ab5ad9457e5a9a97d3925adff904e8971',1,'recombination::index_re_z()'],['../thermodynamics_8h.html#af9ee97caa4f45869edc2fbb37b678125',1,'reionization::index_re_z()']]], - ['index_5freco_5fwhen_5freio_5fstart',['index_reco_when_reio_start',['../thermodynamics_8h.html#a30f0d1b6c4446e56137d17ebe95fda72',1,'reionization']]], - ['index_5freio_5fexponent',['index_reio_exponent',['../thermodynamics_8h.html#ac9e218ca7c045aef0b22e740b10d7e21',1,'reionization']]], - ['index_5freio_5ffirst_5fxe',['index_reio_first_xe',['../thermodynamics_8h.html#a09078233ff029c56f863eda41ebe21d7',1,'reionization']]], - ['index_5freio_5ffirst_5fz',['index_reio_first_z',['../thermodynamics_8h.html#a956460dd8f305550f59a08daee633bca',1,'reionization']]], - ['index_5freio_5fredshift',['index_reio_redshift',['../thermodynamics_8h.html#a808b9b45f27f3a7769368aa2443bdcd5',1,'reionization']]], - ['index_5freio_5fstart',['index_reio_start',['../thermodynamics_8h.html#a788ce69bf56161cb1206a3dc424cd937',1,'reionization']]], - ['index_5freio_5fstep_5fsharpness',['index_reio_step_sharpness',['../thermodynamics_8h.html#a148ebf436a417705c814bf2fd4fe0811',1,'reionization']]], - ['index_5freio_5fwidth',['index_reio_width',['../thermodynamics_8h.html#aefe9593675372d78b1c101be3b07e568',1,'reionization']]], - ['index_5freio_5fxe_5fafter',['index_reio_xe_after',['../thermodynamics_8h.html#a74df9fdfa77a7b44848d3b55b759943e',1,'reionization']]], - ['index_5freio_5fxe_5fbefore',['index_reio_xe_before',['../thermodynamics_8h.html#ad8b561135f954387adbbf151f66730ac',1,'reionization']]], - ['index_5ftau_5fmin_5fnl',['index_tau_min_nl',['../structnonlinear.html#a7820721d8a03b7a23525c9f2ffc64ea0',1,'nonlinear']]], - ['index_5fth_5fcb2',['index_th_cb2',['../thermodynamics_8h.html#ab46df5f21130eeee5285e67c4622ad95',1,'thermo']]], - ['index_5fth_5fdcb2',['index_th_dcb2',['../thermodynamics_8h.html#a88ec417317b2b67874267a57dc9d6e1f',1,'thermo']]], - ['index_5fth_5fddcb2',['index_th_ddcb2',['../thermodynamics_8h.html#af2235ab4044aead8661b93e444100a62',1,'thermo']]], - ['index_5fth_5fdddkappa',['index_th_dddkappa',['../thermodynamics_8h.html#ab22f97968c1478527c2b1472b257f0a8',1,'thermo']]], - ['index_5fth_5fddg',['index_th_ddg',['../thermodynamics_8h.html#a8d37919b3cee46dc444edb84d8b7b7fc',1,'thermo']]], - ['index_5fth_5fddkappa',['index_th_ddkappa',['../thermodynamics_8h.html#abc3d795a1a457805e1f2a3902a6078bb',1,'thermo']]], - ['index_5fth_5fdg',['index_th_dg',['../thermodynamics_8h.html#aa5ba947ab5a6728b9503f23b3db3c647',1,'thermo']]], - ['index_5fth_5fdkappa',['index_th_dkappa',['../thermodynamics_8h.html#aea1ea1f3e5c0c64eee3d527b6663e9d5',1,'thermo']]], - ['index_5fth_5fexp_5fm_5fkappa',['index_th_exp_m_kappa',['../thermodynamics_8h.html#ae95f57e24cdaf670e96f68f65bc614b4',1,'thermo']]], - ['index_5fth_5fg',['index_th_g',['../thermodynamics_8h.html#a21416a8b787d8018a8aa8731e8614af8',1,'thermo']]], - ['index_5fth_5fr_5fd',['index_th_r_d',['../thermodynamics_8h.html#adaead8e8bf4fda93eb3b22b02741cc53',1,'thermo']]], - ['index_5fth_5frate',['index_th_rate',['../thermodynamics_8h.html#a039139b2d4e0699b2053236b26b85362',1,'thermo']]], - ['index_5fth_5ftau_5fd',['index_th_tau_d',['../thermodynamics_8h.html#a35e688c8d2c87b79aafbcdae01cef507',1,'thermo']]], - ['index_5fth_5ftb',['index_th_Tb',['../thermodynamics_8h.html#a8a5e3cc09ec655767702c0ddc01b51c6',1,'thermo']]], - ['index_5fth_5fxe',['index_th_xe',['../thermodynamics_8h.html#aba1579aad519a4b990438d8a15670b40',1,'thermo']]], - ['index_5ftp_5fdelta_5fb',['index_tp_delta_b',['../perturbations_8h.html#a2e9886cc801817d3bac3756c9dff2956',1,'perturbs']]], - ['index_5ftp_5fdelta_5fcb',['index_tp_delta_cb',['../perturbations_8h.html#ad38f547552787d04ac4900ecaf4cea49',1,'perturbs']]], - ['index_5ftp_5fdelta_5fcdm',['index_tp_delta_cdm',['../perturbations_8h.html#a390364744a1825a6b09960cb30d222d4',1,'perturbs']]], - ['index_5ftp_5fdelta_5fdcdm',['index_tp_delta_dcdm',['../perturbations_8h.html#a58a017ada7b24e71360614a95ec12596',1,'perturbs']]], - ['index_5ftp_5fdelta_5fdr',['index_tp_delta_dr',['../perturbations_8h.html#a8c907df1d7189d3bc93106fdf8422f61',1,'perturbs']]], - ['index_5ftp_5fdelta_5ffld',['index_tp_delta_fld',['../perturbations_8h.html#a924d7a53f6216d0482936475b910c1f5',1,'perturbs']]], - ['index_5ftp_5fdelta_5fg',['index_tp_delta_g',['../perturbations_8h.html#ac80f779218baec8dc92d98d4c5cf6972',1,'perturbs']]], - ['index_5ftp_5fdelta_5fm',['index_tp_delta_m',['../perturbations_8h.html#adbbf153660c784306f5fa3af92d17e33',1,'perturbs']]], - ['index_5ftp_5fdelta_5fncdm1',['index_tp_delta_ncdm1',['../perturbations_8h.html#a96eaf8b998b28740a0ea476112be7d86',1,'perturbs']]], - ['index_5ftp_5fdelta_5fscf',['index_tp_delta_scf',['../perturbations_8h.html#a0f4addf27747d9cbc0e90ad1e0bb061c',1,'perturbs']]], - ['index_5ftp_5fdelta_5fur',['index_tp_delta_ur',['../perturbations_8h.html#afd6370787dbee9f6919da39be926cc10',1,'perturbs']]], - ['index_5ftp_5feta',['index_tp_eta',['../perturbations_8h.html#a9a310b516dfff671a0360a1131aa73ee',1,'perturbs']]], - ['index_5ftp_5feta_5fprime',['index_tp_eta_prime',['../perturbations_8h.html#ae75a3948e5a454efebbbf71763e10ce4',1,'perturbs']]], - ['index_5ftp_5fh',['index_tp_h',['../perturbations_8h.html#a5bc0966909b26088dc11c9c7ba6bee50',1,'perturbs']]], - ['index_5ftp_5fh_5fprime',['index_tp_h_prime',['../perturbations_8h.html#a4e5aa7c5efdfa9c3e0ba3ebb0f1a6cc8',1,'perturbs']]], - ['index_5ftp_5fp',['index_tp_p',['../perturbations_8h.html#a43d325743be535b467e03ff4d9ea4c28',1,'perturbs']]], - ['index_5ftp_5fperturbed_5frecombination_5fdelta_5fchi',['index_tp_perturbed_recombination_delta_chi',['../perturbations_8h.html#a9636c896c5a6691587e3bd2ebd505974',1,'perturbs']]], - ['index_5ftp_5fperturbed_5frecombination_5fdelta_5ftemp',['index_tp_perturbed_recombination_delta_temp',['../perturbations_8h.html#a715e0afeecf2fa221d2a8a650f12b1e5',1,'perturbs']]], - ['index_5ftp_5fphi',['index_tp_phi',['../perturbations_8h.html#a71ea87a37f3b09e2d28aba67a5e66585',1,'perturbs']]], - ['index_5ftp_5fphi_5fplus_5fpsi',['index_tp_phi_plus_psi',['../perturbations_8h.html#a82d9516eadb38b898d7e9730c6960347',1,'perturbs']]], - ['index_5ftp_5fphi_5fprime',['index_tp_phi_prime',['../perturbations_8h.html#a9a73df8c478505e6d75f997983cf0d4b',1,'perturbs']]], - ['index_5ftp_5fpsi',['index_tp_psi',['../perturbations_8h.html#ab3575e2b7daeb42dda99cd0e4e6c3a2f',1,'perturbs']]], - ['index_5ftp_5ft0',['index_tp_t0',['../perturbations_8h.html#a8d6dc81e807a29b225351e78fe3b8fb8',1,'perturbs']]], - ['index_5ftp_5ft1',['index_tp_t1',['../perturbations_8h.html#a864700a9a436ac557480a50fd892bf09',1,'perturbs']]], - ['index_5ftp_5ft2',['index_tp_t2',['../perturbations_8h.html#ac3a019d980669a3707024d0bab0bbe08',1,'perturbs']]], - ['index_5ftp_5ftheta_5fb',['index_tp_theta_b',['../perturbations_8h.html#a00a3cdc4ff74fc45589f28b508c382a0',1,'perturbs']]], - ['index_5ftp_5ftheta_5fcb',['index_tp_theta_cb',['../perturbations_8h.html#a4d2106453b72063fbaeef41597027253',1,'perturbs']]], - ['index_5ftp_5ftheta_5fcdm',['index_tp_theta_cdm',['../perturbations_8h.html#aef71b1e3db72baf6c73dcb469d70453a',1,'perturbs']]], - ['index_5ftp_5ftheta_5fdcdm',['index_tp_theta_dcdm',['../perturbations_8h.html#aa617e2c18e69ad242f06294ecbb06e07',1,'perturbs']]], - ['index_5ftp_5ftheta_5fdr',['index_tp_theta_dr',['../perturbations_8h.html#a14e96255c89bc37a4e7e28ef49abbad5',1,'perturbs']]], - ['index_5ftp_5ftheta_5ffld',['index_tp_theta_fld',['../perturbations_8h.html#a4490babdc0c840cbd63f26f04bafa85a',1,'perturbs']]], - ['index_5ftp_5ftheta_5fg',['index_tp_theta_g',['../perturbations_8h.html#a2615c76bb30b34641da17d74d52bf3b4',1,'perturbs']]], - ['index_5ftp_5ftheta_5fm',['index_tp_theta_m',['../perturbations_8h.html#a1dd3e727356402d4baf9f3abc20c86ea',1,'perturbs']]], - ['index_5ftp_5ftheta_5fncdm1',['index_tp_theta_ncdm1',['../perturbations_8h.html#ae6d1d898b091264a89215ec5a5411a70',1,'perturbs']]], - ['index_5ftp_5ftheta_5fscf',['index_tp_theta_scf',['../perturbations_8h.html#a68cb6482805e9a870d46f9db5056f8d3',1,'perturbs']]], - ['index_5ftp_5ftheta_5fur',['index_tp_theta_ur',['../perturbations_8h.html#a4fc5cc46eb27ad74118486f352742829',1,'perturbs']]], - ['index_5ftr_5fdelta_5fb',['index_tr_delta_b',['../spectra_8h.html#a97577b7e46e9a9e03cdc063bc7dd3e3a',1,'spectra']]], - ['index_5ftr_5fdelta_5fcdm',['index_tr_delta_cdm',['../spectra_8h.html#a46514e00517bd409596a2c50617aed35',1,'spectra']]], - ['index_5ftr_5fdelta_5fdcdm',['index_tr_delta_dcdm',['../spectra_8h.html#a613cb218a38f6bfb45b4532a4beefad9',1,'spectra']]], - ['index_5ftr_5fdelta_5fdr',['index_tr_delta_dr',['../spectra_8h.html#ac51f80c850a0af1353d09d7eae5b156c',1,'spectra']]], - ['index_5ftr_5fdelta_5ffld',['index_tr_delta_fld',['../spectra_8h.html#a7c8e3e44348d2bd690dbea7de30d0242',1,'spectra']]], - ['index_5ftr_5fdelta_5fg',['index_tr_delta_g',['../spectra_8h.html#ada527499c8c57e4f3f03ce677c215677',1,'spectra']]], - ['index_5ftr_5fdelta_5fncdm1',['index_tr_delta_ncdm1',['../spectra_8h.html#ad1c8f5dcba56e8a7f5752a0dd1c49876',1,'spectra']]], - ['index_5ftr_5fdelta_5fscf',['index_tr_delta_scf',['../spectra_8h.html#a5de2fbacfddb3343acf34786da2383af',1,'spectra']]], - ['index_5ftr_5fdelta_5ftot',['index_tr_delta_tot',['../spectra_8h.html#a0c534b60400e5ee5b12bd31b59557bfd',1,'spectra']]], - ['index_5ftr_5fdelta_5fur',['index_tr_delta_ur',['../spectra_8h.html#a381c450d391f1c494f68c5806135d0f4',1,'spectra']]], - ['index_5ftr_5feta',['index_tr_eta',['../spectra_8h.html#ae6f46c9f310c2f0850bb8df1a9098a0f',1,'spectra']]], - ['index_5ftr_5feta_5fprime',['index_tr_eta_prime',['../spectra_8h.html#ac5c7dce0fe26c8fc02b3470e5b1c1869',1,'spectra']]], - ['index_5ftr_5fh',['index_tr_h',['../spectra_8h.html#a6081cde29dd45b2c48e36f24897a1562',1,'spectra']]], - ['index_5ftr_5fh_5fprime',['index_tr_h_prime',['../spectra_8h.html#a14a2c54fa5966f8496bba128d22bba77',1,'spectra']]], - ['index_5ftr_5fphi',['index_tr_phi',['../spectra_8h.html#a1783b7039f69ad5a28a394fc6a8ec949',1,'spectra']]], - ['index_5ftr_5fphi_5fprime',['index_tr_phi_prime',['../spectra_8h.html#a841f5d8847a2734081565d1a05528cdc',1,'spectra']]], - ['index_5ftr_5fpsi',['index_tr_psi',['../spectra_8h.html#a46b43ca978e6dd81d25fbcd90cc0ad39',1,'spectra']]], - ['index_5ftr_5ftheta_5fb',['index_tr_theta_b',['../spectra_8h.html#a28d055cef73a30afb742bb18dfcf3802',1,'spectra']]], - ['index_5ftr_5ftheta_5fcdm',['index_tr_theta_cdm',['../spectra_8h.html#ab10458250dcbda87fda2a439f5868b5e',1,'spectra']]], - ['index_5ftr_5ftheta_5fdcdm',['index_tr_theta_dcdm',['../spectra_8h.html#ad8766ae4ec0027c881088b7aafa5c867',1,'spectra']]], - ['index_5ftr_5ftheta_5fdr',['index_tr_theta_dr',['../spectra_8h.html#a1226414958631d92602ba731b1838309',1,'spectra']]], - ['index_5ftr_5ftheta_5ffld',['index_tr_theta_fld',['../spectra_8h.html#ad1b97d92cbc190ccbf79f09e890b19e1',1,'spectra']]], - ['index_5ftr_5ftheta_5fg',['index_tr_theta_g',['../spectra_8h.html#a8e4c29b785dbc0c5c89fdc61fff647b2',1,'spectra']]], - ['index_5ftr_5ftheta_5fncdm1',['index_tr_theta_ncdm1',['../spectra_8h.html#aa608e9840f63f33ad426ccb61a988965',1,'spectra']]], - ['index_5ftr_5ftheta_5fscf',['index_tr_theta_scf',['../spectra_8h.html#a6bf91ee144fcebf9e6f7c24f3275c072',1,'spectra']]], - ['index_5ftr_5ftheta_5ftot',['index_tr_theta_tot',['../spectra_8h.html#a1072e1cc5ec0bb055a144eb2db74984e',1,'spectra']]], - ['index_5ftr_5ftheta_5fur',['index_tr_theta_ur',['../spectra_8h.html#a68edc610171f4f21a45117efc0b4139a',1,'spectra']]], - ['index_5ftt_5fb',['index_tt_b',['../transfer_8h.html#a82a1d94ef6b6cbe00354cf304f2d1d32',1,'transfers']]], - ['index_5ftt_5fd0',['index_tt_d0',['../transfer_8h.html#a8719ee8f1faf31461af8b576c61fce1b',1,'transfers']]], - ['index_5ftt_5fd1',['index_tt_d1',['../transfer_8h.html#a1530d7a84b7d6084ed4ddcd43d78ac45',1,'transfers']]], - ['index_5ftt_5fdensity',['index_tt_density',['../transfer_8h.html#aa413c9cefbd2d69d011137e96f63856e',1,'transfers']]], - ['index_5ftt_5fe',['index_tt_e',['../transfer_8h.html#a94f7cbc04ea096cdb56a6133d11080be',1,'transfers']]], - ['index_5ftt_5flcmb',['index_tt_lcmb',['../transfer_8h.html#a0be3e4b5fcca0a20dcc34ed0203a883e',1,'transfers']]], - ['index_5ftt_5flensing',['index_tt_lensing',['../transfer_8h.html#aa016c0480d791288cd3e2ff053611461',1,'transfers']]], - ['index_5ftt_5fnc_5fg1',['index_tt_nc_g1',['../transfer_8h.html#a5eab0bab2cc9f40c1a5a5c864412fd59',1,'transfers']]], - ['index_5ftt_5fnc_5fg2',['index_tt_nc_g2',['../transfer_8h.html#a14f418bd2a1c01cde6d7b32dab8b3902',1,'transfers']]], - ['index_5ftt_5fnc_5fg3',['index_tt_nc_g3',['../transfer_8h.html#aef72fdad8da8bc361c9e2bed5952745e',1,'transfers']]], - ['index_5ftt_5fnc_5fg4',['index_tt_nc_g4',['../transfer_8h.html#ae02d495059914dddb81954fa1fac1bf3',1,'transfers']]], - ['index_5ftt_5fnc_5fg5',['index_tt_nc_g5',['../transfer_8h.html#a39dc383033082ee7a2c34f34a56c011f',1,'transfers']]], - ['index_5ftt_5fnc_5flens',['index_tt_nc_lens',['../transfer_8h.html#a5f982c59c781971c1d527c2bef3f338c',1,'transfers']]], - ['index_5ftt_5frsd',['index_tt_rsd',['../transfer_8h.html#ac7d19621ec7f258ec02d18f6a9be04b0',1,'transfers']]], - ['index_5ftt_5ft0',['index_tt_t0',['../transfer_8h.html#ae76221d1ecb49a5301442a5f1e645fc8',1,'transfers']]], - ['index_5ftt_5ft1',['index_tt_t1',['../transfer_8h.html#a38951c39518476293faac7ba5b8e9cbc',1,'transfers']]], - ['index_5ftt_5ft2',['index_tt_t2',['../transfer_8h.html#aedff0d133dc3978314794d69b000334c',1,'transfers']]], - ['initialise_5fhis_5fcache',['initialise_HIS_cache',['../transfer_8h.html#a376c57dad5375aa4b9fbb6d7455b886e',1,'transfers']]], - ['inter_5fcloseby',['inter_closeby',['../background_8h.html#aed6bd9f48d0ba8fb2cee9f4163584cc2',1,'background::inter_closeby()'],['../thermodynamics_8h.html#a3f57253d7adad511cae405ae0fd9cae1',1,'thermo::inter_closeby()']]], - ['inter_5fmode',['inter_mode',['../perturbations_8h.html#aaba43ee6c3ca3b5166b6b822979c744d',1,'perturb_workspace']]], - ['inter_5fnormal',['inter_normal',['../background_8h.html#a083d789cd5c93095f3a822989b68f838',1,'background::inter_normal()'],['../thermodynamics_8h.html#a11c011eabf1ef83e1a292721c60815ce',1,'thermo::inter_normal()']]], - ['interpolated_5fsources',['interpolated_sources',['../transfer_8h.html#ad9de9e9288051713fff7e15845d379d8',1,'transfer_workspace']]], - ['is_5fnon_5fzero',['is_non_zero',['../primordial_8h.html#a9bda65132bae13af43610cc3968415eb',1,'primordial::is_non_zero()'],['../spectra_8h.html#af016f91ebb5939fde93268ade735c4bb',1,'spectra::is_non_zero()']]] -]; diff --git a/doc/manual/html/search/variables_9.html b/doc/manual/html/search/variables_9.html deleted file mode 100644 index 234dc60a..00000000 --- a/doc/manual/html/search/variables_9.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_9.js b/doc/manual/html/search/variables_9.js deleted file mode 100644 index bb4514b2..00000000 --- a/doc/manual/html/search/variables_9.js +++ /dev/null @@ -1,26 +0,0 @@ -var searchData= -[ - ['k',['K',['../background_8h.html#a8a09d5f6e0efa11f44399f8d8c64857c',1,'background::K()'],['../transfer_8h.html#a3dfb6eba621f9b11a4b3edf4be42d176',1,'transfer_workspace::K()'],['../structnonlinear.html#a6d371ac0fc8dfdef575a5751afd44565',1,'nonlinear::k()'],['../perturbations_8h.html#a0fee08ef9309738309b6e2c654fd9b81',1,'perturbs::k()'],['../perturbations_8h.html#adbd1437efd805fdc19bbf2ea57ee8a24',1,'perturb_parameters_and_workspace::k()'],['../transfer_8h.html#a952f100434c9914599e07976a0eb1b4f',1,'transfers::k()']]], - ['k_5fbao_5fcenter',['k_bao_center',['../common_8h.html#a4e71de45a9b087c4294be70904594e85',1,'precision']]], - ['k_5fbao_5fwidth',['k_bao_width',['../common_8h.html#a4c8a6260f43f1e8c632b7718b0e82b14',1,'precision']]], - ['k_5fmax',['k_max',['../perturbations_8h.html#aa6fbc9ffce88dd7b66a6e797df710a58',1,'perturbs']]], - ['k_5fmax_5ffor_5fpk',['k_max_for_pk',['../perturbations_8h.html#a7285baae346f8cd9bf3c09b2d2cd0f68',1,'perturbs']]], - ['k_5fmax_5ftau0_5fover_5fl_5fmax',['k_max_tau0_over_l_max',['../common_8h.html#a97d5f791e87f30f894a5ba0f0a8eed5a',1,'precision']]], - ['k_5fmin',['k_min',['../perturbations_8h.html#a2efabcc7ceb38767671e282da56e7331',1,'perturbs']]], - ['k_5fmin_5ftau0',['k_min_tau0',['../common_8h.html#aeac5c1c43202273395e87a94224ce0a9',1,'precision']]], - ['k_5fnl',['k_nl',['../structnonlinear.html#a0cf43f23da9a66bad019e2cdc8c7128e',1,'nonlinear::k_nl()'],['../structnonlinear.html#afb3529188cde54269e8faeb411f323d4',1,'nonlinear::k_nl()']]], - ['k_5foutput_5fvalues',['k_output_values',['../perturbations_8h.html#a88b5ec9a18e294c2e9e1b0c4b9846d46',1,'perturbs']]], - ['k_5foutput_5fvalues_5fnum',['k_output_values_num',['../perturbations_8h.html#ade6a029d5354ed2f317951009edc55e0',1,'perturbs']]], - ['k_5fper_5fdecade_5ffor_5fbao',['k_per_decade_for_bao',['../common_8h.html#aacd801b9cb8b7df946ffa229b9645723',1,'precision']]], - ['k_5fper_5fdecade_5ffor_5fpk',['k_per_decade_for_pk',['../common_8h.html#a44385574a37fa0a1ffd638c4e8c78c6d',1,'precision']]], - ['k_5fper_5fdecade_5fprimordial',['k_per_decade_primordial',['../common_8h.html#afbf2e72248f3c25bee2f64c61ca981b5',1,'precision']]], - ['k_5fpivot',['k_pivot',['../primordial_8h.html#a992d363635a9688b5856ab14d2a6fa6a',1,'primordial']]], - ['k_5fsize',['k_size',['../structnonlinear.html#a5337c7a8ffea7bb7f178d6bad11b5622',1,'nonlinear::k_size()'],['../perturbations_8h.html#abdd65bae5df178b9882fd8089a934aca',1,'perturbs::k_size()']]], - ['k_5fsize_5fcl',['k_size_cl',['../perturbations_8h.html#ab933faf685c21519d39707e39c2684c7',1,'perturbs']]], - ['k_5fsize_5fcmb',['k_size_cmb',['../perturbations_8h.html#a186e24b1748420d3d66d3fa9c15d1a54',1,'perturbs']]], - ['k_5fstep_5fsub',['k_step_sub',['../common_8h.html#a07ba1a203e7ea715dfe7ae2799ae18b7',1,'precision']]], - ['k_5fstep_5fsuper',['k_step_super',['../common_8h.html#a6f18fea5cd97ab1ee45dea423b2ce162',1,'precision']]], - ['k_5fstep_5fsuper_5freduction',['k_step_super_reduction',['../common_8h.html#acd10d8e37647e08051e527ba608a45c5',1,'precision']]], - ['k_5fstep_5ftransition',['k_step_transition',['../common_8h.html#a5ee3dad46e6bca34b6ba05aa2f9f68dc',1,'precision']]], - ['ksi_5fncdm_5fdefault',['ksi_ncdm_default',['../background_8h.html#a79d6f2dc01ccd89bbba441982bfff33d',1,'background']]] -]; diff --git a/doc/manual/html/search/variables_a.html b/doc/manual/html/search/variables_a.html deleted file mode 100644 index 08924881..00000000 --- a/doc/manual/html/search/variables_a.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_a.js b/doc/manual/html/search/variables_a.js deleted file mode 100644 index a1dffca4..00000000 --- a/doc/manual/html/search/variables_a.js +++ /dev/null @@ -1,51 +0,0 @@ -var searchData= -[ - ['l',['l',['../lensing_8h.html#a515aa9ec5555b0f9ab5b43b0bf4b65aa',1,'lensing::l()'],['../spectra_8h.html#abbeb989dda07d55b3122a402fc9a9d5a',1,'spectra::l()'],['../transfer_8h.html#a9c53323b5d6815b19ff3ba8367bf059e',1,'transfers::l()']]], - ['l_5flensed_5fmax',['l_lensed_max',['../lensing_8h.html#af0af1fc9b860d9077686bea4717c7113',1,'lensing']]], - ['l_5flinstep',['l_linstep',['../common_8h.html#a64c68a1863d043f4a5df26286ffd98e5',1,'precision']]], - ['l_5flogstep',['l_logstep',['../common_8h.html#aa7e27015428cc6b8ad5435b7c26ff1cf',1,'precision']]], - ['l_5flss_5fmax',['l_lss_max',['../perturbations_8h.html#ad95d62365638e07da1067ec11509a267',1,'perturbs']]], - ['l_5fmax',['l_max',['../spectra_8h.html#a38d6d56c37aed30d482da7c195f92e3a',1,'spectra']]], - ['l_5fmax_5fct',['l_max_ct',['../spectra_8h.html#a9604e37eb1b394c6fc7087b91c14411f',1,'spectra']]], - ['l_5fmax_5fdr',['l_max_dr',['../common_8h.html#a5393476f92ce80b7f46300e1f8d21a5d',1,'precision::l_max_dr()'],['../perturbations_8h.html#a72b6b3130896f7fcdd829c7676223cb9',1,'perturb_vector::l_max_dr()']]], - ['l_5fmax_5fg',['l_max_g',['../common_8h.html#abac166faeb6ad1dc7f2444cd0e00cb29',1,'precision::l_max_g()'],['../perturbations_8h.html#ab38f5a833603c52dfbd1e221fc74fd6f',1,'perturb_vector::l_max_g()']]], - ['l_5fmax_5fg_5ften',['l_max_g_ten',['../common_8h.html#a961483a52e5d54f72e5e906bc5dd8977',1,'precision']]], - ['l_5fmax_5flt',['l_max_lt',['../lensing_8h.html#a92589138597145c2e311e3ecb18d7580',1,'lensing']]], - ['l_5fmax_5fncdm',['l_max_ncdm',['../common_8h.html#a55cf9da97cd32bf397d1ffe0a1467ba0',1,'precision::l_max_ncdm()'],['../perturbations_8h.html#af24b3c2e1771277747b62680ec882bdd',1,'perturb_vector::l_max_ncdm()']]], - ['l_5fmax_5fpol_5fg',['l_max_pol_g',['../common_8h.html#a60a346a5f7ac91b7f4e192b41ba1d279',1,'precision::l_max_pol_g()'],['../perturbations_8h.html#afbd657ef80ce568ac17ab39e0b784e98',1,'perturb_vector::l_max_pol_g()']]], - ['l_5fmax_5fpol_5fg_5ften',['l_max_pol_g_ten',['../common_8h.html#ab3a6fd17b3bb2c34e1f427625e5044a4',1,'precision']]], - ['l_5fmax_5ftot',['l_max_tot',['../spectra_8h.html#a58feb2fcd4d06d3801f0f452d00bf987',1,'spectra']]], - ['l_5fmax_5fur',['l_max_ur',['../common_8h.html#a568cb71c90fb5ebb82851dabd9d6135a',1,'precision::l_max_ur()'],['../perturbations_8h.html#a649fe7e6f920b4e38e3493afb8c6be53',1,'perturb_vector::l_max_ur()']]], - ['l_5fscalar_5fmax',['l_scalar_max',['../perturbations_8h.html#ad19bfcf5857798364cb337aab0c2fb49',1,'perturbs']]], - ['l_5fsize',['l_size',['../lensing_8h.html#a1f1c98d553499b30adedbb623b69bfa1',1,'lensing::l_size()'],['../spectra_8h.html#af914e728444df64b91bfd117a94d7b06',1,'spectra::l_size()'],['../transfer_8h.html#ae917edcaaca1b905211ed1a41eda8c1c',1,'transfers::l_size()'],['../transfer_8h.html#a8b96d30c1ef94e11aa4200c13e865d41',1,'transfer_workspace::l_size()']]], - ['l_5fsize_5fmax',['l_size_max',['../spectra_8h.html#abb17bea5d5b9ab86cc211e19d975790e',1,'spectra::l_size_max()'],['../transfer_8h.html#a103c59aede115134d0063b78081b3075',1,'transfers::l_size_max()']]], - ['l_5fsize_5ftt',['l_size_tt',['../transfer_8h.html#a0ae5457b1b8904a89150ff13d3eb0c6e',1,'transfers']]], - ['l_5fswitch_5flimber',['l_switch_limber',['../common_8h.html#a17b12dee0a13c51a2c784ed9bcf988a2',1,'precision']]], - ['l_5fswitch_5flimber_5ffor_5fnc_5flocal_5fover_5fz',['l_switch_limber_for_nc_local_over_z',['../common_8h.html#acfd2414789a48c1ffea0aae0ebbe6e03',1,'precision']]], - ['l_5fswitch_5flimber_5ffor_5fnc_5flos_5fover_5fz',['l_switch_limber_for_nc_los_over_z',['../common_8h.html#a7a4eb61c1a9b00c560deb9ed6a70fa72',1,'precision']]], - ['l_5ftensor_5fmax',['l_tensor_max',['../perturbations_8h.html#af1e8d93c8aaa9afee5da056bcb76f306',1,'perturbs']]], - ['l_5funlensed_5fmax',['l_unlensed_max',['../lensing_8h.html#adfe9236af20f4ee1c3836cbfcd7aae3b',1,'lensing']]], - ['l_5fvector_5fmax',['l_vector_max',['../perturbations_8h.html#adf0c33089ac34f54a868c9b4e518c64f',1,'perturbs']]], - ['last_5findex_5fback',['last_index_back',['../perturbations_8h.html#a6ae91653132c6e0df1918de791dec37a',1,'perturb_workspace']]], - ['last_5findex_5fthermo',['last_index_thermo',['../perturbations_8h.html#a73236fa830a3ded2ce3eea0ca235d18b',1,'perturb_workspace']]], - ['lcmb_5fpivot',['lcmb_pivot',['../transfer_8h.html#a91095384810847be0636e449c0212e24',1,'transfers']]], - ['lcmb_5frescale',['lcmb_rescale',['../transfer_8h.html#a8c2f7acb96ae31d0faf207ffce762ae4',1,'transfers']]], - ['lcmb_5ftilt',['lcmb_tilt',['../transfer_8h.html#a6db5c71e92b75d127a1ca1903d4142b9',1,'transfers']]], - ['lensing_5fverbose',['lensing_verbose',['../lensing_8h.html#a719645bb169b370108150f591a4d93e5',1,'lensing']]], - ['ln_5fk',['ln_k',['../spectra_8h.html#a8d1366df83d9413ec408151c90643a9e',1,'spectra']]], - ['ln_5fk_5fsize',['ln_k_size',['../spectra_8h.html#aba12c1edfe1407562fed0488f07d499e',1,'spectra']]], - ['ln_5fpk',['ln_pk',['../spectra_8h.html#a658520d8cde6f2367dc6de37c6b5f069',1,'spectra']]], - ['ln_5fpk_5fcb',['ln_pk_cb',['../spectra_8h.html#a55da2c80f6c3948181df1b6c2065fc64',1,'spectra']]], - ['ln_5fpk_5fcb_5fl',['ln_pk_cb_l',['../spectra_8h.html#a2efde47762e8fe37b3ac48ad3e81566b',1,'spectra']]], - ['ln_5fpk_5fcb_5fnl',['ln_pk_cb_nl',['../spectra_8h.html#acf8c92999d79ae673698d04629b9cabe',1,'spectra']]], - ['ln_5fpk_5fnl',['ln_pk_nl',['../spectra_8h.html#a38c2aeac727751ecad8885c8df23586a',1,'spectra']]], - ['ln_5ftau',['ln_tau',['../spectra_8h.html#a5f7d064aff5ca9c3aa2b99db6d3d8d64',1,'spectra']]], - ['ln_5ftau_5fnl',['ln_tau_nl',['../spectra_8h.html#aee71399f6b9835fbe3bb396634f69bee',1,'spectra']]], - ['ln_5ftau_5fnl_5fsize',['ln_tau_nl_size',['../spectra_8h.html#aed0aa0a8c85c43cad6cf07664f664be8',1,'spectra']]], - ['ln_5ftau_5fsize',['ln_tau_size',['../spectra_8h.html#a683b5edb0fc48b2c91bd0a2c963657f0',1,'spectra']]], - ['lnk',['lnk',['../primordial_8h.html#af4d42a04be39689f90d2c9271fc58adb',1,'primordial']]], - ['lnk_5fsize',['lnk_size',['../primordial_8h.html#afb8b1450e80fad605dbd86f45f985683',1,'primordial']]], - ['lnpk',['lnpk',['../primordial_8h.html#abd07e09bb1fcbc79692b2abd8ccf4b1e',1,'primordial']]], - ['long_5finfo',['long_info',['../background_8h.html#a323b663d2f3722d50460d8cf25aa19cd',1,'background']]], - ['lt_5fsize',['lt_size',['../lensing_8h.html#aa9ad0daf319c47e96f8830fedf682afd',1,'lensing']]] -]; diff --git a/doc/manual/html/search/variables_b.html b/doc/manual/html/search/variables_b.html deleted file mode 100644 index ea46965c..00000000 --- a/doc/manual/html/search/variables_b.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_b.js b/doc/manual/html/search/variables_b.js deleted file mode 100644 index c3e6f78d..00000000 --- a/doc/manual/html/search/variables_b.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['m_5fncdm',['M_ncdm',['../background_8h.html#a9d8594c1ee9335c883f42375e71e5125',1,'background']]], - ['m_5fncdm_5fin_5fev',['m_ncdm_in_eV',['../background_8h.html#a131114b677feb75fb76d4203e849b5c1',1,'background']]], - ['many_5ftanh_5fnum',['many_tanh_num',['../thermodynamics_8h.html#ada9c9823a4dc41e3e6397b670b5389b4',1,'thermo']]], - ['many_5ftanh_5fwidth',['many_tanh_width',['../thermodynamics_8h.html#adb1b7437b219c65ddf3405e90acaafd5',1,'thermo']]], - ['many_5ftanh_5fxe',['many_tanh_xe',['../thermodynamics_8h.html#ad14b8f1cb5561b40dbf39af0a49a1557',1,'thermo']]], - ['many_5ftanh_5fz',['many_tanh_z',['../thermodynamics_8h.html#a4011a979ddfb33fde348fbb9e08f0458',1,'thermo']]], - ['matter_5ftransfer',['matter_transfer',['../spectra_8h.html#a196d78f8357b4db11abcac0cdf2f8bc8',1,'spectra']]], - ['max_5fl_5fmax',['max_l_max',['../perturbations_8h.html#a96761f7981d819dc36e4c799c421b895',1,'perturb_workspace']]], - ['md_5fsize',['md_size',['../perturbations_8h.html#a0b02540b63842769707585822981dabd',1,'perturbs::md_size()'],['../primordial_8h.html#adb653bc4b8147c7975500778cfc91cf4',1,'primordial::md_size()'],['../spectra_8h.html#a7162896ffe54e04b025389a38f0b6e51',1,'spectra::md_size()'],['../transfer_8h.html#acc9c66aebf8723431d019b397747a8cc',1,'transfers::md_size()']]], - ['method',['method',['../structnonlinear.html#aa5256a476f6fa766b8977272715be21a',1,'nonlinear']]], - ['mt_5fsize',['mt_size',['../perturbations_8h.html#adac9de5f30d729bfd93d63581605842f',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/variables_c.html b/doc/manual/html/search/variables_c.html deleted file mode 100644 index 94bf1a67..00000000 --- a/doc/manual/html/search/variables_c.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_c.js b/doc/manual/html/search/variables_c.js deleted file mode 100644 index 807f372e..00000000 --- a/doc/manual/html/search/variables_c.js +++ /dev/null @@ -1,51 +0,0 @@ -var searchData= -[ - ['n_5fad_5fbi',['n_ad_bi',['../primordial_8h.html#aa5c4a415981070e3a7065d2ac6500fe5',1,'primordial']]], - ['n_5fad_5fcdi',['n_ad_cdi',['../primordial_8h.html#a533e6ae3fbb99c73f9cd233656de0486',1,'primordial']]], - ['n_5fad_5fnid',['n_ad_nid',['../primordial_8h.html#a6f60aaa4c2e2749b5312d6f752c0f430',1,'primordial']]], - ['n_5fad_5fniv',['n_ad_niv',['../primordial_8h.html#a8fb032baa0f74759014fcd912357c8ba',1,'primordial']]], - ['n_5fbi',['n_bi',['../primordial_8h.html#a080a64221ae8da7e06f3bf884fab961b',1,'primordial']]], - ['n_5fbi_5fcdi',['n_bi_cdi',['../primordial_8h.html#aebc3532af60c6a594e67a6171d2f018a',1,'primordial']]], - ['n_5fbi_5fnid',['n_bi_nid',['../primordial_8h.html#a94a0ab4f4e893b8b6a36f26e55e24c75',1,'primordial']]], - ['n_5fbi_5fniv',['n_bi_niv',['../primordial_8h.html#ad854459b4fe856d2e80d0ecb8206610e',1,'primordial']]], - ['n_5fcdi',['n_cdi',['../primordial_8h.html#a90feb32706083c529950dacfd4a173a2',1,'primordial']]], - ['n_5fcdi_5fnid',['n_cdi_nid',['../primordial_8h.html#adb98626de6ae429d3b62207a0694fb77',1,'primordial']]], - ['n_5fcdi_5fniv',['n_cdi_niv',['../primordial_8h.html#aa6cc5d8318d0993ed2934281565433a5',1,'primordial']]], - ['n_5fe',['n_e',['../thermodynamics_8h.html#a9bff37796a1c0d6271a7fefb97e15b35',1,'thermo']]], - ['n_5fncdm',['N_ncdm',['../background_8h.html#a09ba67b55b60f42115407641d077ea53',1,'background::N_ncdm()'],['../perturbations_8h.html#a0870c2e067fb72bfcc200d67c7adaef4',1,'perturb_vector::N_ncdm()']]], - ['n_5fnid',['n_nid',['../primordial_8h.html#af4eafced96e906fb69e4cd9d2bb433e3',1,'primordial']]], - ['n_5fnid_5fniv',['n_nid_niv',['../primordial_8h.html#a73abb8e0b105d288a3bb735744ad7d78',1,'primordial']]], - ['n_5fniv',['n_niv',['../primordial_8h.html#affe995a4bd3d8c978466fd80adc5456a',1,'primordial']]], - ['n_5fs',['n_s',['../primordial_8h.html#a35c0cac2ba15fbd45c292d9f9acfdcb5',1,'primordial']]], - ['n_5ft',['n_t',['../primordial_8h.html#ab3b9abb6ff0b52dc69c5c30f047534e6',1,'primordial']]], - ['ncdm_5ffluid_5fapproximation',['ncdm_fluid_approximation',['../common_8h.html#a6b62112800de6f262f64b557a9196597',1,'precision']]], - ['ncdm_5ffluid_5ftrigger_5ftau_5fover_5ftau_5fk',['ncdm_fluid_trigger_tau_over_tau_k',['../common_8h.html#a54c961c3fe76802a2aade252088c5c26',1,'precision']]], - ['ncdm_5finput_5fq_5fsize',['ncdm_input_q_size',['../background_8h.html#afbbadd6d926e8380ec64d85bbbc240cf',1,'background']]], - ['ncdm_5fpsd_5ffiles',['ncdm_psd_files',['../background_8h.html#aa45063cc56ed270925f22707465b4592',1,'background']]], - ['ncdm_5fpsd_5fparameters',['ncdm_psd_parameters',['../background_8h.html#a974529db1fe5cbf91fc8513c1b56b7f3',1,'background']]], - ['ncdm_5fqmax',['ncdm_qmax',['../background_8h.html#a6443854e2bb51b44b58a9deb4579edbd',1,'background']]], - ['ncdm_5fquadrature_5fstrategy',['ncdm_quadrature_strategy',['../background_8h.html#a17271539e7ea4dc8bd12eb6bfa8226dc',1,'background']]], - ['neff',['Neff',['../background_8h.html#a62011b2fc16a6e812997912686ac3089',1,'background']]], - ['neglect_5fcmb_5fsources_5fbelow_5fvisibility',['neglect_CMB_sources_below_visibility',['../common_8h.html#a2154eafeea247599857b87d549afacd3',1,'precision']]], - ['neglect_5flate_5fsource',['neglect_late_source',['../transfer_8h.html#acc5b2260d1eb28b9fb12e7dd67b75e0f',1,'transfer_workspace']]], - ['nl_5fcorr_5fdensity',['nl_corr_density',['../structnonlinear.html#a774d3d64ba57a3441c012096f1af7147',1,'nonlinear::nl_corr_density()'],['../structnonlinear.html#a488af6d3cc6c44d56fd8cfdf38d4d75b',1,'nonlinear::nl_corr_density()']]], - ['nnow',['Nnow',['../thermodynamics_8h.html#a6fdf4f1d81808b97b351443d663e8811',1,'recombination']]], - ['non_5fdiag',['non_diag',['../spectra_8h.html#aa4ba8bb05804a9c367e7099a5aafac6f',1,'spectra']]], - ['nonlinear_5fverbose',['nonlinear_verbose',['../structnonlinear.html#a793810d8ed0e8a951293d0d4b1475c46',1,'nonlinear']]], - ['normal_5finfo',['normal_info',['../background_8h.html#a94e49478108e40a1a392fca2c4fe6086',1,'background']]], - ['num_5fmu_5fminus_5flmax',['num_mu_minus_lmax',['../common_8h.html#ac99c1152d8b70ca3408ba7aad3d10f9a',1,'precision']]], - ['number_5fof_5fscalar_5ftitles',['number_of_scalar_titles',['../perturbations_8h.html#a6fbc7c6b0ac2d6174553e8f3ab1cec20',1,'perturbs']]], - ['number_5fof_5ftensor_5ftitles',['number_of_tensor_titles',['../perturbations_8h.html#a90eb42b47485bf70870f9917f54cd68f',1,'perturbs']]], - ['number_5fof_5fvector_5ftitles',['number_of_vector_titles',['../perturbations_8h.html#a160f6bde2eebbe55f15790b995a4902d',1,'perturbs']]], - ['nz_5fddnz',['nz_ddnz',['../transfer_8h.html#a8a60fad65c936fd7c8efcd18e30a7dec',1,'transfers']]], - ['nz_5fevo_5fdd_5fdlog_5fnz',['nz_evo_dd_dlog_nz',['../transfer_8h.html#ae3d34e1bf2485dfc59d3885714fe23e9',1,'transfers']]], - ['nz_5fevo_5fdlog_5fnz',['nz_evo_dlog_nz',['../transfer_8h.html#a07477648687d9b344a838ac4545a39ce',1,'transfers']]], - ['nz_5fevo_5ffile_5fname',['nz_evo_file_name',['../transfer_8h.html#ade3591562b4b9f7fc163e7048fea7e3c',1,'transfers']]], - ['nz_5fevo_5fnz',['nz_evo_nz',['../transfer_8h.html#a33850a8009e5e6f03a028f5121313081',1,'transfers']]], - ['nz_5fevo_5fsize',['nz_evo_size',['../transfer_8h.html#ab1f9d920837a0d1e6f291392896e9856',1,'transfers']]], - ['nz_5fevo_5fz',['nz_evo_z',['../transfer_8h.html#ac6807420f6f385c94a901a1bb9646ea0',1,'transfers']]], - ['nz_5ffile_5fname',['nz_file_name',['../transfer_8h.html#a35378a07a9177c5f0e9eee5be9f4637b',1,'transfers']]], - ['nz_5fnz',['nz_nz',['../transfer_8h.html#a1b82292c5519d4f60b1f7265f64fcd2e',1,'transfers']]], - ['nz_5fsize',['nz_size',['../transfer_8h.html#a0f728ad0ee27fe37d42caa1235a25481',1,'transfers']]], - ['nz_5fz',['nz_z',['../transfer_8h.html#a710ee27a2ec706be1e1b7ff1f9a1e00d',1,'transfers']]] -]; diff --git a/doc/manual/html/search/variables_d.html b/doc/manual/html/search/variables_d.html deleted file mode 100644 index b9381e99..00000000 --- a/doc/manual/html/search/variables_d.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_d.js b/doc/manual/html/search/variables_d.js deleted file mode 100644 index cb55d928..00000000 --- a/doc/manual/html/search/variables_d.js +++ /dev/null @@ -1,19 +0,0 @@ -var searchData= -[ - ['omega0_5fb',['Omega0_b',['../background_8h.html#ac082b414dc40c0b5e733c57bd5118631',1,'background']]], - ['omega0_5fcdm',['Omega0_cdm',['../background_8h.html#a9ec8a5cb6af4f689640b76826128df0f',1,'background']]], - ['omega0_5fdcdm',['Omega0_dcdm',['../background_8h.html#a5d2e52d4d54e0620f5308c1b2d9213ee',1,'background']]], - ['omega0_5fdcdmdr',['Omega0_dcdmdr',['../background_8h.html#a35d3f42e265af29cd38a3f35e5fd1392',1,'background']]], - ['omega0_5fdr',['Omega0_dr',['../background_8h.html#a29c6752fb9367daa282c161e01e2d9ab',1,'background']]], - ['omega0_5ffld',['Omega0_fld',['../background_8h.html#a8c8a6bf15b6f48a498c1dc19712431eb',1,'background']]], - ['omega0_5fg',['Omega0_g',['../background_8h.html#a2803ca707b3250cfe73620ce4d46848f',1,'background']]], - ['omega0_5fk',['Omega0_k',['../background_8h.html#a35ebd905024845619047dfa78db952c5',1,'background']]], - ['omega0_5flambda',['Omega0_lambda',['../background_8h.html#adba7f8bdac5313854cb48580b7562a13',1,'background']]], - ['omega0_5fncdm_5ftot',['Omega0_ncdm_tot',['../background_8h.html#a05f67862c306f12461a02afd1c6b955a',1,'background']]], - ['omega0_5fscf',['Omega0_scf',['../background_8h.html#a3ec7cb89aee15662360e4ec7b85436f8',1,'background']]], - ['omega0_5fur',['Omega0_ur',['../background_8h.html#a0fb6c6ef3e802c8f11c03a0561ff3994',1,'background']]], - ['omega_5fede',['Omega_EDE',['../background_8h.html#a73cece3d366da582e32a3e46869d0c17',1,'background']]], - ['omega_5fini_5fdcdm',['Omega_ini_dcdm',['../background_8h.html#a31ef8cc19fade403f356531c713a589c',1,'background']]], - ['output_5fformat',['output_format',['../output_8h.html#a5792445d2cb4ddf1520fe8dbe1a29568',1,'output']]], - ['output_5fverbose',['output_verbose',['../output_8h.html#abcfb9ab7c27dc27c33810dbd025468df',1,'output']]] -]; diff --git a/doc/manual/html/search/variables_e.html b/doc/manual/html/search/variables_e.html deleted file mode 100644 index 375ad705..00000000 --- a/doc/manual/html/search/variables_e.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_e.js b/doc/manual/html/search/variables_e.js deleted file mode 100644 index 5cecae16..00000000 --- a/doc/manual/html/search/variables_e.js +++ /dev/null @@ -1,54 +0,0 @@ -var searchData= -[ - ['pba',['pba',['../perturbations_8h.html#a9068d5228c160afb65facc4e0ce1f5b2',1,'perturb_parameters_and_workspace']]], - ['pbis',['pBIS',['../transfer_8h.html#ac0a4a7ac556b373d5afde27e75c1cba2',1,'transfer_workspace']]], - ['perturb_5fintegration_5fstepsize',['perturb_integration_stepsize',['../common_8h.html#a5762210bd94b59011e8d3be114e83e4a',1,'precision']]], - ['perturb_5foutput_5ffile',['perturb_output_file',['../perturbations_8h.html#af2087e01157ae877d2b6a0dac6bc1ff6',1,'perturb_workspace']]], - ['perturb_5fsampling_5fstepsize',['perturb_sampling_stepsize',['../common_8h.html#a4497a61ff0002e2356946594ec4d89ce',1,'precision']]], - ['perturbations_5fverbose',['perturbations_verbose',['../perturbations_8h.html#ab3cac22c75f2edc18a8b12c985c942f3',1,'perturbs']]], - ['phi_5fend',['phi_end',['../primordial_8h.html#aea80e519fa0ce2fdf2b4820af05b3c15',1,'primordial']]], - ['phi_5fini_5fscf',['phi_ini_scf',['../background_8h.html#ab52738cef0f6f7156c22ea3410e06559',1,'background']]], - ['phi_5fmax',['phi_max',['../primordial_8h.html#aa83e0948e492273933d482c0734db375',1,'primordial']]], - ['phi_5fmin',['phi_min',['../primordial_8h.html#ac470bf4fc3baaf6a566fe84e7e393751',1,'primordial']]], - ['phi_5fpivot',['phi_pivot',['../primordial_8h.html#a30705149872b96ec4918f303339b48d3',1,'primordial']]], - ['phi_5fpivot_5fmethod',['phi_pivot_method',['../primordial_8h.html#a158bc04234683f9292923a7441597a23',1,'primordial']]], - ['phi_5fpivot_5ftarget',['phi_pivot_target',['../primordial_8h.html#adb92236c8b8be2aeb8735c11c1a53db7',1,'primordial']]], - ['phi_5fprime_5fini_5fscf',['phi_prime_ini_scf',['../background_8h.html#ac261b364a383b80cdc222e8fd42be5de',1,'background']]], - ['phi_5fstop',['phi_stop',['../primordial_8h.html#a7e1f0626b0ed574e46bdff7b20c2cffc',1,'primordial']]], - ['pk_5feq_5fddw_5fand_5fddomega',['pk_eq_ddw_and_ddOmega',['../structnonlinear.html#a9829e53eed43354d6eadd1b4a1a50ca8',1,'nonlinear']]], - ['pk_5feq_5fsize',['pk_eq_size',['../structnonlinear.html#ac75dd441d317ae820442c292ee07cf5c',1,'nonlinear']]], - ['pk_5feq_5ftau',['pk_eq_tau',['../structnonlinear.html#a800f77dc54958d78cd2217e580dbaa12',1,'nonlinear']]], - ['pk_5feq_5ftau_5fsize',['pk_eq_tau_size',['../structnonlinear.html#ac4dca0626fe3ba4625d38e6471d394ad',1,'nonlinear']]], - ['pk_5feq_5ftol',['pk_eq_tol',['../common_8h.html#afa85ffd7c1df2a7cd56f961c3128f1d5',1,'precision']]], - ['pk_5feq_5fw_5fand_5fomega',['pk_eq_w_and_Omega',['../structnonlinear.html#a3789820291a5e3bed24b5ab532f6c2c1',1,'nonlinear']]], - ['pk_5feq_5fz_5fmax',['pk_eq_z_max',['../common_8h.html#a115f47aedeac72cb8534f7f7ca0a6416',1,'precision']]], - ['pk_5fsize',['pk_size',['../structnonlinear.html#ad1989b77431ef92f23f2f291109191a6',1,'nonlinear']]], - ['potential',['potential',['../primordial_8h.html#a67c22e95069d6402b05dcdee8d742784',1,'primordial']]], - ['ppr',['ppr',['../perturbations_8h.html#a17f71fba9b472adef213e8c6894ff540',1,'perturb_parameters_and_workspace']]], - ['ppt',['ppt',['../perturbations_8h.html#a8301ae9bd8f2866ae57d990f1609ee73',1,'perturb_parameters_and_workspace']]], - ['ppw',['ppw',['../perturbations_8h.html#ac42880afe983fe35c6dec9349b3fe0bb',1,'perturb_parameters_and_workspace']]], - ['primordial_5finflation_5fah_5fini_5ftarget',['primordial_inflation_aH_ini_target',['../common_8h.html#ad86876b6f583fcd0ca9c7146f2d749e3',1,'precision']]], - ['primordial_5finflation_5fattractor_5fmaxit',['primordial_inflation_attractor_maxit',['../common_8h.html#a4355a8eb656279f80ff63956be8d7e49',1,'precision']]], - ['primordial_5finflation_5fattractor_5fprecision_5finitial',['primordial_inflation_attractor_precision_initial',['../common_8h.html#ac36bfac5bf99d2ecacdfda31420060b1',1,'precision']]], - ['primordial_5finflation_5fattractor_5fprecision_5fpivot',['primordial_inflation_attractor_precision_pivot',['../common_8h.html#a1bd6a29b44675212577ae20619427d10',1,'precision']]], - ['primordial_5finflation_5fbg_5fstepsize',['primordial_inflation_bg_stepsize',['../common_8h.html#a690f47ac04ee5f5de4f8af0800b23be5',1,'precision']]], - ['primordial_5finflation_5fend_5fdphi',['primordial_inflation_end_dphi',['../common_8h.html#af58ec8aa0a925457a63a0dc6fbd512af',1,'precision']]], - ['primordial_5finflation_5fend_5flogstep',['primordial_inflation_end_logstep',['../common_8h.html#ac6690436e0d643a9b99773d591a76da4',1,'precision']]], - ['primordial_5finflation_5fextra_5fefolds',['primordial_inflation_extra_efolds',['../common_8h.html#a64e544d03b3c76a0c7d31633f379bec5',1,'precision']]], - ['primordial_5finflation_5fphi_5fini_5fmaxit',['primordial_inflation_phi_ini_maxit',['../common_8h.html#af5cf46019b39ccb708d864fa42ebbafb',1,'precision']]], - ['primordial_5finflation_5fpt_5fstepsize',['primordial_inflation_pt_stepsize',['../common_8h.html#a3c15bd987d537aa0da62849613b0f258',1,'precision']]], - ['primordial_5finflation_5fratio_5fmax',['primordial_inflation_ratio_max',['../common_8h.html#afa22510b85c145c8ae2d4414aeb21fb2',1,'precision']]], - ['primordial_5finflation_5fratio_5fmin',['primordial_inflation_ratio_min',['../common_8h.html#a2eb22cce2a952c3f6694144495763326',1,'precision']]], - ['primordial_5finflation_5fsmall_5fepsilon',['primordial_inflation_small_epsilon',['../common_8h.html#a3d2de2d9d767cd04b858335a1c1224ee',1,'precision']]], - ['primordial_5finflation_5fsmall_5fepsilon_5ftol',['primordial_inflation_small_epsilon_tol',['../common_8h.html#a3dc4f0226335fd96b007078fb267fe61',1,'precision']]], - ['primordial_5finflation_5ftol_5fcurvature',['primordial_inflation_tol_curvature',['../common_8h.html#af05193504f126a2a1dbc34e4fd26219d',1,'precision']]], - ['primordial_5finflation_5ftol_5fintegration',['primordial_inflation_tol_integration',['../common_8h.html#a936e91a0394a27f46706550993de79d6',1,'precision']]], - ['primordial_5fspec_5ftype',['primordial_spec_type',['../primordial_8h.html#a09788ccd5ad0318530fd237cb59812e0',1,'primordial']]], - ['primordial_5fverbose',['primordial_verbose',['../primordial_8h.html#abe8dcda501378777a148f440f949fb14',1,'primordial']]], - ['pt_5fsize',['pt_size',['../perturbations_8h.html#a35fbda8bef49fdcc7cc303c576369e6d',1,'perturb_vector']]], - ['pth',['pth',['../perturbations_8h.html#a28aaaec1a2f39ad6008b462fb9175ee3',1,'perturb_parameters_and_workspace']]], - ['pv',['pv',['../perturbations_8h.html#a130122fc65ddb422b2c46dca09ddab85',1,'perturb_workspace']]], - ['pvecback',['pvecback',['../perturbations_8h.html#a048ea8307d1fdd3c9ee023ca4c6945ff',1,'perturb_workspace']]], - ['pvecmetric',['pvecmetric',['../perturbations_8h.html#aa7f41a5175674a0dc03fcd11bcc30ef5',1,'perturb_workspace']]], - ['pvecthermo',['pvecthermo',['../perturbations_8h.html#afb6929391bdf3aa1206062c8e925f3e9',1,'perturb_workspace']]] -]; diff --git a/doc/manual/html/search/variables_f.html b/doc/manual/html/search/variables_f.html deleted file mode 100644 index d3714186..00000000 --- a/doc/manual/html/search/variables_f.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/doc/manual/html/search/variables_f.js b/doc/manual/html/search/variables_f.js deleted file mode 100644 index bd27c380..00000000 --- a/doc/manual/html/search/variables_f.js +++ /dev/null @@ -1,14 +0,0 @@ -var searchData= -[ - ['q',['q',['../transfer_8h.html#ae30e3941f8bfc39fb2cf57804c7703b1',1,'transfers']]], - ['q_5flinstep',['q_linstep',['../common_8h.html#a62e37243c95722e36c66d08618d69802',1,'precision']]], - ['q_5flogstep_5fopen',['q_logstep_open',['../common_8h.html#aeffb3906406388c9778ca17f5baa45cd',1,'precision']]], - ['q_5flogstep_5fspline',['q_logstep_spline',['../common_8h.html#a1cc18c3ec1984a62ec83fde3466a3263',1,'precision']]], - ['q_5flogstep_5ftrapzd',['q_logstep_trapzd',['../common_8h.html#a4e957a19ae397686d6dadf4e1fc6075a',1,'precision']]], - ['q_5fncdm',['q_ncdm',['../background_8h.html#af3d60c01da32ca94c422c7ea8738ab56',1,'background']]], - ['q_5fncdm_5fbg',['q_ncdm_bg',['../background_8h.html#ad340bcb42208c72411825c5652b62ef9',1,'background']]], - ['q_5fnumstep_5ftransition',['q_numstep_transition',['../common_8h.html#a678c2efbad7f314da2279699c2d30ba0',1,'precision']]], - ['q_5fsize',['q_size',['../transfer_8h.html#aa36717abc1082ae0c8e6d1562ee067dd',1,'transfers']]], - ['q_5fsize_5fncdm',['q_size_ncdm',['../background_8h.html#aaac0382a4c479123b0e0f836920da6df',1,'background::q_size_ncdm()'],['../perturbations_8h.html#a58a4842cf68d427a5d374729a635f93e',1,'perturb_vector::q_size_ncdm()']]], - ['q_5fsize_5fncdm_5fbg',['q_size_ncdm_bg',['../background_8h.html#a42ed113e1a20b0cb96266a6325ee39de',1,'background']]] -]; diff --git a/doc/manual/html/sparse_8h_source.html b/doc/manual/html/sparse_8h_source.html deleted file mode 100644 index 88ba0c28..00000000 --- a/doc/manual/html/sparse_8h_source.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - - - -CLASS MANUAL: sparse.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    sparse.h
    -
    -
    -
    1 #ifndef __SPA__
    2 #define __SPA__
    3 /****************************************/
    4 /* Sparse Matrix algorithms for CLASS */
    5 /* 15/11 2010 */
    6 /* Thomas Tram */
    7 /****************************************/
    8 #include "common.h"
    9 
    10 /* Structures: */
    11 typedef struct sparse_matrix{
    12  /* Sparse matrix in compressed column form: */
    13  int ncols; /* Number of columns */
    14  int nrows; /* Number of rows */
    15  int maxnz; /* Maximum number of non-zero entries*/
    16  int *Ap; /* Ap[0..ncols]. Ap[k+1]-Ap[k] is the number of entries in the k'th column. */
    17  int *Ai; /* Ai[0..(maxnz-1)]. Contains the row indices of the entries. */
    18  double *Ax; /* Ax[0..(maxnz-1)]. Contains the values of the entries. */
    19 } sp_mat;
    20 
    21 typedef struct sparse_numerical{
    22  /* Sparse LU decomposition along with enough information to do a fast refactorization: */
    23  int n; /*Matrix assumed square, [nxn] */
    24  sp_mat *L; /*L and U is the factors of the decomposed matrix.*/
    25  sp_mat *U;
    26  int **xi; /*xi[k] points to a row of xi, which holds the topological ordered indices.*/
    27  int *topvec; /*topvec[k] holds the first index in xi[k].*/
    28  int *pinv; /*Inverse row permutation. */
    29  int *p; /*Row permutation. */
    30  int *q; /* Column permutation */
    31  int *wamd; /* Work array for sp_amd */
    32  double *w; /* Work array for sp_lu */
    33 } sp_num;
    34 
    35 
    39 #ifdef __cplusplus
    40 extern "C" {
    41 #endif
    42 /* Routines and macros: */
    43 int sp_mat_alloc(sp_mat** A, int ncols, int nrows, int maxnz, ErrorMsg error_message);
    44 int sp_mat_free(sp_mat *A);
    45 int sp_num_alloc(sp_num** N, int n,ErrorMsg error_message);
    46 int sp_num_free(sp_num *N);
    47 int reachr(sp_mat *G, sp_mat *B,int k, int *xik,int *pinv);
    48 void dfsr(int j, sp_mat *G, int *top, int *xik, int *pinv);
    49 int sp_splsolve(sp_mat *G, sp_mat *B, int k, int*xik, int top, double *x, int *pinv);
    50 int sp_ludcmp(sp_num *N, sp_mat *A, double pivtol);
    51 int sp_lusolve(sp_num *N, double *b, double *x);
    52 int sp_refactor(sp_num *N, sp_mat *A);
    53 int column_grouping(sp_mat *G, int *col_g, int *col_wi);
    54 int sp_amd(int *Cp, int *Ci, int n, int cnzmax, int *P, int *W);
    55 int sp_wclear(int mark, int lemax, int *w, int n);
    56 int sp_tdfs(int j, int k, int *head, const int *next, int *post, int *stack);
    57 
    58 
    59 #define SPFLIP(i) (-(i)-2)
    60 #define SPUNFLIP(i) (((i)<0) ? SPFLIP(i) : (i))
    61 #define SPMARKED(w,j) (w[j] < 0)
    62 #define SPMARK(w,j) {w[j] = SPFLIP(w[j]);}
    63 
    64 #ifdef __cplusplus
    65 }
    66 #endif
    67 
    68 
    69 #endif
    -
    -
    - - - - diff --git a/doc/manual/html/spectra_8c.html b/doc/manual/html/spectra_8c.html deleted file mode 100644 index d6a011d5..00000000 --- a/doc/manual/html/spectra_8c.html +++ /dev/null @@ -1,1482 +0,0 @@ - - - - - - - -CLASS MANUAL: spectra.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    spectra.c File Reference
    -
    -
    -
    #include "spectra.h"
    -
    - + Include dependency graph for spectra.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int spectra_cl_at_l (struct spectra *psp, double l, double *cl_tot, double **cl_md, double **cl_md_ic)
     
    int spectra_pk_at_z (struct background *pba, struct spectra *psp, enum linear_or_logarithmic mode, double z, double *output_tot, double *output_ic, double *output_cb_tot, double *output_cb_ic)
     
    int spectra_pk_at_k_and_z (struct background *pba, struct primordial *ppm, struct spectra *psp, double k, double z, double *pk_tot, double *pk_ic, double *pk_cb_tot, double *pk_cb_ic)
     
    int spectra_pk_nl_at_z (struct background *pba, struct spectra *psp, enum linear_or_logarithmic mode, double z, double *output_tot, double *output_cb_tot)
     
    int spectra_pk_nl_at_k_and_z (struct background *pba, struct primordial *ppm, struct spectra *psp, double k, double z, double *pk_tot, double *pk_cb_tot)
     
    int spectra_tk_at_z (struct background *pba, struct spectra *psp, double z, double *output)
     
    int spectra_tk_at_k_and_z (struct background *pba, struct spectra *psp, double k, double z, double *output)
     
    int spectra_init (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, struct transfers *ptr, struct spectra *psp)
     
    int spectra_free (struct spectra *psp)
     
    int spectra_indices (struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp)
     
    int spectra_cls (struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp)
     
    int spectra_compute_cl (struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, int index_md, int index_ic1, int index_ic2, int index_l, int cl_integrand_num_columns, double *cl_integrand, double *primordial_pk, double *transfer_ic1, double *transfer_ic2)
     
    int spectra_k_and_tau (struct background *pba, struct perturbs *ppt, struct nonlinear *pnl, struct spectra *psp)
     
    int spectra_pk (struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, struct spectra *psp)
     
    int spectra_sigma (struct background *pba, struct primordial *ppm, struct spectra *psp, double R, double z, double *sigma)
     
    int spectra_matter_transfers (struct background *pba, struct perturbs *ppt, struct spectra *psp)
     
    int spectra_output_tk_data (struct background *pba, struct perturbs *ppt, struct spectra *psp, enum file_format output_format, double z, int number_of_titles, double *data)
     
    int spectra_fast_pk_at_kvec_and_zvec (struct background *pba, struct spectra *psp, double *kvec, int kvec_size, double *zvec, int zvec_size, double *pk_tot_out, double *pk_cb_tot_out, int nonlinear)
     
    -

    Detailed Description

    -

    Documented spectra module

    -

    Julien Lesgourgues, 25.08.2010

    -

    This module computes the anisotropy and Fourier power spectra $ C_l^{X}, P(k), ... $'s given the transfer and Bessel functions (for anisotropy spectra), the source functions (for Fourier spectra) and the primordial spectra.

    -

    The following functions can be called from other modules:

    -
      -
    1. spectra_init() at the beginning (but after transfer_init())
      2. -
    2. spectra_cl_at_l() at any time for computing $ C_l $ at any l
      3. -
    3. spectra_spectrum_at_z() at any time for computing P(k) at any z
      4. -
    4. spectra_spectrum_at_k_and z() at any time for computing P at any k and z
      5. -
    5. spectra_free() at the end
      6. -
    -

    Function Documentation

    - -

    ◆ spectra_cl_at_l()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_cl_at_l (struct spectra * psp,
    double l,
    double * cl_tot,
    double ** cl_md,
    double ** cl_md_ic 
    )
    -
    -

    Anisotropy power spectra $ C_l$'s for all types, modes and initial conditions.

    -

    This routine evaluates all the $C_l$'s at a given value of l by interpolating in the pre-computed table. When relevant, it also sums over all initial conditions for each mode, and over all modes.

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - -
    pspInput: pointer to spectra structure (containing pre-computed table)
    lInput: multipole number
    cl_totOutput: total $C_l$'s for all types (TT, TE, EE, etc..)
    cl_mdOutput: $C_l$'s for all types (TT, TE, EE, etc..) decomposed mode by mode (scalar, tensor, ...) when relevant
    cl_md_icOutput: $C_l$'s for all types (TT, TE, EE, etc..) decomposed by pairs of initial conditions (adiabatic, isocurvatures) for each mode (usually, only for the scalar mode) when relevant
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • (a) treat case in which there is only one mode and one initial condition. Then, only cl_tot needs to be filled.
      • -
    • (b) treat case in which there is only one mode with several initial condition. Fill cl_md_ic[index_md=0] and sum it to get cl_tot.
      • -
    • (c) loop over modes
      • -
    • –> (c.1.) treat case in which the mode under consideration has only one initial condition. Fill cl_md[index_md].
      • -
    • –> (c.2.) treat case in which the mode under consideration has several initial conditions. Fill cl_md_ic[index_md] and sum it to get cl_md[index_md]
      • -
    • –> (c.3.) add contribution of cl_md[index_md] to cl_tot
      • -
    - -
    -
    - -

    ◆ spectra_pk_at_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_pk_at_z (struct background * pba,
    struct spectra * psp,
    enum linear_or_logarithmic mode,
    double z,
    double * output_tot,
    double * output_ic,
    double * output_cb_tot,
    double * output_cb_ic 
    )
    -
    -

    Matter power spectrum for arbitrary redshift and for all initial conditions.

    -

    This routine evaluates the matter power spectrum at a given value of z by interpolating in the pre-computed table (if several values of z have been stored) or by directly reading it (if it only contains values at z=0 and we want P(k,z=0))

    -

    Can be called in two modes: linear or logarithmic.

    -
      -
    • linear: returns P(k) (units: $ Mpc^3$)
      • -
    • logarithmic: returns $\ln{P(k)}$
      • -
    -

    One little subtlety: in case of several correlated initial conditions, the cross-correlation spectrum can be negative. Then, in logarithmic mode, the non-diagonal elements contain the cross-correlation angle $ P_{12}/\sqrt{P_{11} P_{22}}$ (from -1 to 1) instead of $\ln{P_{12}}$

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    pspInput: pointer to spectra structure (containing pre-computed table)
    modeInput: linear or logarithmic
    zInput: redshift
    output_totOutput: total matter power spectrum P(k) in $ Mpc^3 $ (linear mode), or its logarithms (logarithmic mode)
    output_icOutput: for each pair of initial conditions, matter power spectra P(k) in $ Mpc^3 $ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode)
    output_cb_totOutput: CDM+baryon power spectrum P_cb(k) in $ Mpc^3 $ (linear mode), or its logarithms (logarithmic mode)
    output_cb_icOutput: for each pair of initial conditions, CDM+baryon power spectra P_cb(k) in $ Mpc^3 $ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first step: convert z into $\ln{\tau}$
      • -
    • second step: for both modes (linear or logarithmic), store the spectrum in logarithmic format in the output array(s)
      • -
    • –> (a) if only values at tau=tau_today are stored and we want $ P(k,z=0)$, no need to interpolate
      • -
    • –> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift
      • -
    • third step: if there are several initial conditions, compute the total P(k) and set back all uncorrelated coefficients to exactly zero. Check positivity of total P(k).
      • -
    • fourth step: depending on requested mode (linear or logarithmic), apply necessary transformation to the output arrays
      • -
    • –> (a) linear mode: if only one initial condition, convert output_tot to linear format; if several initial conditions, convert output_ic to linear format, output_tot is already in this format
      • -
    • –> (b) logarithmic mode: if only one initial condition, nothing to be done; if several initial conditions, convert output_tot to logarithmic format, output_ic is already in this format
      • -
    - -
    -
    - -

    ◆ spectra_pk_at_k_and_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_pk_at_k_and_z (struct background * pba,
    struct primordial * ppm,
    struct spectra * psp,
    double k,
    double z,
    double * pk_tot,
    double * pk_ic,
    double * pk_cb_tot,
    double * pk_cb_ic 
    )
    -
    -

    Matter power spectrum for arbitrary wavenumber, redshift and initial condition.

    -

    This routine evaluates the matter power spectrum at a given value of k and z by interpolating in a table of all P(k)'s computed at this z by spectra_pk_at_z() (when kmin <= k <= kmax), or eventually by using directly the primordial spectrum (when 0 <= k < kmin): the latter case is an approximation, valid when kmin << comoving Hubble scale today. Returns zero when k=0. Returns an error when k<0 or k > kmax.

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    ppmInput: pointer to primordial structure (used only in the case 0 < k < kmin)
    pspInput: pointer to spectra structure (containing pre-computed table)
    kInput: wavenumber in 1/Mpc
    zInput: redshift
    pk_totOutput: total matter power spectrum P(k) in $ Mpc^3 $
    pk_icOutput: for each pair of initial conditions, matter power spectra P(k) in $ Mpc^3$
    pk_cb_totOutput: b+CDM power spectrum P(k) in $ Mpc^3 $
    pk_cb_icOutput: for each pair of initial conditions, b+CDM power spectra P(k) in $ Mpc^3$
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first step: check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_pk_at_z())
      • -
    • deal with case 0 <= k < kmin
      • -
    • –> (a) subcase k=0: then P(k)=0
      • -
    • –> (b) subcase 0<k<kmin: in this case we know that on super-Hubble scales: P(k) = [some number] * k * P_primordial(k) so P(k) = P(kmin) * (k P_primordial(k)) / (kmin P_primordial(kmin)) (note that the result is accurate only if kmin is such that [a0 kmin] << H0)
      • -
    • deal with case kmin <= k <= kmax
      • -
    • last step: if more than one condition, sum over pk_ic to get pk_tot, and set back coefficients of non-correlated pairs to exactly zero.
      • -
    - -
    -
    - -

    ◆ spectra_pk_nl_at_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_pk_nl_at_z (struct background * pba,
    struct spectra * psp,
    enum linear_or_logarithmic mode,
    double z,
    double * output_tot,
    double * output_cb_tot 
    )
    -
    -

    Non-linear total matter power spectrum for arbitrary redshift.

    -

    This routine evaluates the non-linear matter power spectrum at a given value of z by interpolating in the pre-computed table (if several values of z have been stored) or by directly reading it (if it only contains values at z=0 and we want P(k,z=0))

    -

    Can be called in two modes: linear or logarithmic.

    -
      -
    • linear: returns P(k) (units: Mpc^3)
      • -
    • logarithmic: returns ln(P(k))
      • -
    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    pspInput: pointer to spectra structure (containing pre-computed table)
    modeInput: linear or logarithmic
    zInput: redshift
    output_totOutput: total matter power spectrum P(k) in $ Mpc^3$ (linear mode), or its logarithms (logarithmic mode)
    output_cb_totOutput: b+CDM power spectrum P(k) in $ Mpc^3$ (linear mode), or its logarithms (logarithmic mode)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first step: convert z into ln(tau)
      • -
    • second step: for both modes (linear or logarithmic), store the spectrum in logarithmic format in the output array(s)
      • -
    • –> (a) if only values at tau=tau_today are stored and we want P(k,z=0), no need to interpolate
      • -
    • –> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift
      • -
    • fourth step: eventually convert to linear format
      • -
    - -
    -
    - -

    ◆ spectra_pk_nl_at_k_and_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_pk_nl_at_k_and_z (struct background * pba,
    struct primordial * ppm,
    struct spectra * psp,
    double k,
    double z,
    double * pk_tot,
    double * pk_cb_tot 
    )
    -
    -

    Non-linear total matter power spectrum for arbitrary wavenumber and redshift.

    -

    This routine evaluates the matter power spectrum at a given value of k and z by interpolating in a table of all P(k)'s computed at this z by spectra_pk_nl_at_z() (when kmin <= k <= kmax), or eventually by using directly the primordial spectrum (when 0 <= k < kmin): the latter case is an approximation, valid when kmin << comoving Hubble scale today. Returns zero when k=0. Returns an error when k<0 or k > kmax.

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    ppmInput: pointer to primordial structure (used only in the case 0 < k < kmin)
    pspInput: pointer to spectra structure (containing pre-computed table)
    kInput: wavenumber in 1/Mpc
    zInput: redshift
    pk_totOutput: total matter power spectrum P(k) in $ Mpc^3$
    pk_cb_totOutput: b+CDM power spectrum P(k) in $ Mpc^3$
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_pk_at_z())
      • -
    • compute P(k,z) (in logarithmic format for more accurate interpolation)
      • -
    • get its second derivatives with spline, then interpolate, then convert to linear format
      • -
    - -
    -
    - -

    ◆ spectra_tk_at_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_tk_at_z (struct background * pba,
    struct spectra * psp,
    double z,
    double * output 
    )
    -
    -

    Matter transfer functions $ T_i(k) $ for arbitrary redshift and for all initial conditions.

    -

    This routine evaluates the matter transfer functions at a given value of z by interpolating in the pre-computed table (if several values of z have been stored) or by directly reading it (if it only contains values at z=0 and we want $ T_i(k,z=0)$)

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    pspInput: pointer to spectra structure (containing pre-computed table)
    zInput: redshift
    outputOutput: matter transfer functions
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first step: convert z into ln(tau)
      • -
    • second step: store the matter transfer functions in the output array
      • -
    • –> (a) if only values at tau=tau_today are stored and we want $ T_i(k,z=0)$, no need to interpolate
      • -
    • –> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift
      • -
    - -
    -
    - -

    ◆ spectra_tk_at_k_and_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_tk_at_k_and_z (struct background * pba,
    struct spectra * psp,
    double k,
    double z,
    double * output 
    )
    -
    -

    Matter transfer functions $ T_i(k)$ for arbitrary wavenumber, redshift and initial condition.

    -

    This routine evaluates the matter transfer functions at a given value of k and z by interpolating in a table of all $ T_i(k,z)$'s computed at this z by spectra_tk_at_z() (when kmin <= k <= kmax). Returns an error when k<kmin or k > kmax.

    -

    This function can be called from whatever module at whatever time, provided that spectra_init() has been called before, and spectra_free() has not been called yet.

    -
    Parameters
    - - - - - - -
    pbaInput: pointer to background structure (used for converting z into tau)
    pspInput: pointer to spectra structure (containing pre-computed table)
    kInput: wavenumber in 1/Mpc
    zInput: redshift
    outputOutput: matter transfer functions
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_tk_at_z())
      • -
    • compute T_i(k,z)
      • -
    • get its second derivatives w.r.t. k with spline, then interpolate
      • -
    - -
    -
    - -

    ◆ spectra_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_init (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct nonlinear * pnl,
    struct transfers * ptr,
    struct spectra * psp 
    )
    -
    -

    This routine initializes the spectra structure (in particular, computes table of anisotropy and Fourier spectra $ C_l^{X}, P(k), ... $)

    -
    Parameters
    - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure (will provide H, Omega_m at redshift of interest)
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfer structure
    ppmInput: pointer to primordial structure
    pnlInput: pointer to nonlinear structure
    pspOutput: pointer to initialized spectra structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • check that we really want to compute at least one spectrum
      • -
    • initialize indices and allocate some of the arrays in the spectra structure
      • -
    • deal with $ C_l$'s, if any
      • -
    • deal with $ P(k,\tau)$ and $ T_i(k,\tau)$
      • -
    - -
    -
    - -

    ◆ spectra_free()

    - -
    -
    - - - - - - - - -
    int spectra_free (struct spectra * psp)
    -
    -

    This routine frees all the memory space allocated by spectra_init().

    -

    To be called at the end of each run, only when no further calls to spectra_cls_at_l(), spectra_pk_at_z(), spectra_pk_at_k_and_z() are needed.

    -
    Parameters
    - - -
    pspInput: pointer to spectra structure (which fields must be freed)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ spectra_indices()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_indices (struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    struct primordial * ppm,
    struct spectra * psp 
    )
    -
    -

    This routine defines indices and allocates tables in the spectra structure

    -
    Parameters
    - - - - - - -
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    ppmInput: pointer to primordial structure
    pspInput/output: pointer to spectra structure
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ spectra_cls()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_cls (struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    struct primordial * ppm,
    struct spectra * psp 
    )
    -
    -

    This routine computes a table of values for all harmonic spectra $ C_l $'s, given the transfer functions and primordial spectra.

    -
    Parameters
    - - - - - - -
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    ppmInput: pointer to primordial structure
    pspInput/Output: pointer to spectra structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate pointers to arrays where results will be stored
      • -
    • store values of l
      • -
    • loop over modes (scalar, tensors, etc). For each mode:
      • -
    • –> (a) store number of l values for this mode
      • -
    • –> (b) allocate arrays where results will be stored
      • -
    • –> (c) loop over initial conditions
      • -
    • —> loop over l values defined in the transfer module. For each l, compute the $ C_l$'s for all types (TT, TE, ...) by convolving primordial spectra with transfer functions. This elementary task is assigned to spectra_compute_cl()
      • -
    • –> (d) now that for a given mode, all possible $ C_l$'s have been computed, compute second derivative of the array in which they are stored, in view of spline interpolation.
      • -
    - -
    -
    - -

    ◆ spectra_compute_cl()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_compute_cl (struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    struct primordial * ppm,
    struct spectra * psp,
    int index_md,
    int index_ic1,
    int index_ic2,
    int index_l,
    int cl_integrand_num_columns,
    double * cl_integrand,
    double * primordial_pk,
    double * transfer_ic1,
    double * transfer_ic2 
    )
    -
    -

    This routine computes the $ C_l$'s for a given mode, pair of initial conditions and multipole, but for all types (TT, TE...), by convolving the transfer functions with the primordial spectra.

    -
    Parameters
    - - - - - - - - - - - - - - - -
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    ppmInput: pointer to primordial structure
    pspInput/Output: pointer to spectra structure (result stored here)
    index_mdInput: index of mode under consideration
    index_ic1Input: index of first initial condition in the correlator
    index_ic2Input: index of second initial condition in the correlator
    index_lInput: index of multipole under consideration
    cl_integrand_num_columnsInput: number of columns in cl_integrand
    cl_integrandInput: an allocated workspace
    primordial_pkInput: table of primordial spectrum values
    transfer_ic1Input: table of transfer function values for first initial condition
    transfer_ic2Input: table of transfer function values for second initial condition
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ spectra_k_and_tau()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_k_and_tau (struct background * pba,
    struct perturbs * ppt,
    struct nonlinear * pnl,
    struct spectra * psp 
    )
    -
    -

    This routine computes the values of k and tau at which the matter power spectra $ P(k,\tau)$ and the matter transfer functions $ T_i(k,\tau)$ will be stored.

    -
    Parameters
    - - - - - -
    pbaInput: pointer to background structure (for z to tau conversion)
    pptInput: pointer to perturbation structure (contain source functions)
    pnlInput: pointer to nonlinear structure (contain nonlinear corrections)
    pspInput/Output: pointer to spectra structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check the presence of scalar modes
      • -
    • check the maximum redshift z_max_pk at which $P(k,z)$ and $ T_i(k,z)$ should be computable by interpolation. If it is equal to zero, only $ P(k,z=0)$ needs to be computed. If it is higher, we will store in a table various P(k,tau) at several values of tau generously encompassing the range 0<z<z_max_pk
      • -
    • allocate and fill table of tau values at which $P(k,\tau)$ and $T_i(k,\tau)$ are stored
      • -
    • allocate and fill table of k values at which $ P(k,\tau)$ is stored
      • -
    • if the non-linear power spectrum is requested, we should store it only at values of tau where non-linear corrections were really computed and not brutally set to one. Hence we must find here ln_tau_nl_size which might be smaller than ln_tau_size. But the same table ln_tau will be used for both.
      • -
    - -
    -
    - -

    ◆ spectra_pk()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_pk (struct background * pba,
    struct perturbs * ppt,
    struct primordial * ppm,
    struct nonlinear * pnl,
    struct spectra * psp 
    )
    -
    -

    This routine computes a table of values for all matter power spectra P(k), given the source functions and primordial spectra.

    -
    Parameters
    - - - - - - -
    pbaInput: pointer to background structure (will provide H, Omega_m at redshift of interest)
    pptInput: pointer to perturbation structure (contain source functions)
    ppmInput: pointer to primordial structure
    pnlInput: pointer to nonlinear structure
    pspInput/Output: pointer to spectra structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check the presence of scalar modes
      • -
    • allocate temporary vectors where the primordial spectrum and the background quantities will be stored
      • -
    • allocate and fill array of $P(k,\tau)$ values
      • -
    • if interpolation of $P(k,\tau)$ will be needed (as a function of tau), compute array of second derivatives in view of spline interpolation
      • -
    • if interpolation of $ P_{NL}(k,\tau)$ will be needed (as a function of tau), compute array of second derivatives in view of spline interpolation
      • -
    - -
    -
    - -

    ◆ spectra_sigma()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_sigma (struct background * pba,
    struct primordial * ppm,
    struct spectra * psp,
    double R,
    double z,
    double * sigma 
    )
    -
    -

    This routine computes sigma(R) given P(k) (does not check that k_max is large enough)

    -
    Parameters
    - - - - - - - -
    pbaInput: pointer to background structure
    ppmInput: pointer to primordial structure
    pspInput: pointer to spectra structure
    zInput: redshift
    RInput: radius in Mpc
    sigmaOutput: variance in a sphere of radius R (dimensionless)
    -
    -
    - -
    -
    - -

    ◆ spectra_matter_transfers()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_matter_transfers (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp 
    )
    -
    -

    This routine computes a table of values for all matter power spectra P(k), given the source functions and primordial spectra.

    -
    Parameters
    - - - - -
    pbaInput: pointer to background structure (will provide density of each species)
    pptInput: pointer to perturbation structure (contain source functions)
    pspInput/Output: pointer to spectra structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • check the presence of scalar modes
      • -
    • allocate and fill array of $ T_i(k,\tau)$ values
      • -
    • allocate temporary vectors where the background quantities will be stored
      • -
    • if interpolation of $ P(k,\tau)$ will be needed (as a function of tau), compute array of second derivatives in view of spline interpolation
      • -
    - -
    -
    - -

    ◆ spectra_output_tk_data()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_output_tk_data (struct background * pba,
    struct perturbs * ppt,
    struct spectra * psp,
    enum file_format output_format,
    double z,
    int number_of_titles,
    double * data 
    )
    -
    -
      -
    • compute $T_i(k)$ for each k (if several ic's, compute it for each ic; if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau.
      • -
    • store data
      • -
    - -
    -
    - -

    ◆ spectra_fast_pk_at_kvec_and_zvec()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int spectra_fast_pk_at_kvec_and_zvec (struct background * pba,
    struct spectra * psp,
    double * kvec,
    int kvec_size,
    double * zvec,
    int zvec_size,
    double * pk_tot_out,
    double * pk_cb_tot_out,
    int nonlinear 
    )
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    -

    Compute spline over ln(k)

    -

    Construct table of log(pk) on the computed k nodes but requested redshifts:

    -

    Construct ln(kvec):

    -

    I will assume that the k vector is sorted in ascending order. Case k<kmin:

    -

    If needed, add some extrapolation here

    -

    Implement some extrapolation perhaps

    -

    Case kmin<=k<=kmax. Do not loop through kvec, but loop through the interpolation nodes.

    -

    Loop through k's that fall in this interval

    -

    Perform interpolation

    -

    case k>kmax

    -

    If needed, add some extrapolation here

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/spectra_8c.js b/doc/manual/html/spectra_8c.js deleted file mode 100644 index 74238e66..00000000 --- a/doc/manual/html/spectra_8c.js +++ /dev/null @@ -1,21 +0,0 @@ -var spectra_8c = -[ - [ "spectra_cl_at_l", "spectra_8c.html#a474a08a4d11642f6e688524556442909", null ], - [ "spectra_pk_at_z", "spectra_8c.html#a3a628fdd2920efe84eb4343525e4c23c", null ], - [ "spectra_pk_at_k_and_z", "spectra_8c.html#abbacb8b60693f02f2f0e37fd76c6bdcb", null ], - [ "spectra_pk_nl_at_z", "spectra_8c.html#a459a1ded2ca25cd5d1e4e315bdd1175a", null ], - [ "spectra_pk_nl_at_k_and_z", "spectra_8c.html#a0e6c6722e9cfa606803aa637fb126d34", null ], - [ "spectra_tk_at_z", "spectra_8c.html#ab59220fbc82fe2fa2997105af4d68187", null ], - [ "spectra_tk_at_k_and_z", "spectra_8c.html#a99c7fafb33b166530fc1a9206feb453f", null ], - [ "spectra_init", "spectra_8c.html#a192c3cc36d17f276ed7b5d7e485e70f1", null ], - [ "spectra_free", "spectra_8c.html#acbfeac6ad88fa757677b47d76722aec3", null ], - [ "spectra_indices", "spectra_8c.html#ab9a34eea930c566c6b47cc79da887853", null ], - [ "spectra_cls", "spectra_8c.html#aff413243f74650e6eba56225ef30fb81", null ], - [ "spectra_compute_cl", "spectra_8c.html#a202211a45920a13d8f0f0d545e45b226", null ], - [ "spectra_k_and_tau", "spectra_8c.html#a80e1413144a57366bbf279a2ae6a0028", null ], - [ "spectra_pk", "spectra_8c.html#a1a6dd87098ad3da12ff3a685a6e32010", null ], - [ "spectra_sigma", "spectra_8c.html#aad251bcc29d8eee1448d01e30260eb4a", null ], - [ "spectra_matter_transfers", "spectra_8c.html#a5c100c52fd6479fee1c477d9fd841f28", null ], - [ "spectra_output_tk_data", "spectra_8c.html#a4cf287a8b3796656614e40b9132f1176", null ], - [ "spectra_fast_pk_at_kvec_and_zvec", "spectra_8c.html#ac729eace6e5ce72dffea9090fb94f9e2", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/spectra_8c__incl.map b/doc/manual/html/spectra_8c__incl.map deleted file mode 100644 index f33e5b99..00000000 --- a/doc/manual/html/spectra_8c__incl.map +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/spectra_8c__incl.md5 b/doc/manual/html/spectra_8c__incl.md5 deleted file mode 100644 index da36ba60..00000000 --- a/doc/manual/html/spectra_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -3a7bf9916cf36a56f16ecf17b6f3c0b1 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c__incl.png b/doc/manual/html/spectra_8c__incl.png deleted file mode 100644 index b4837af2..00000000 Binary files a/doc/manual/html/spectra_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.map b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.map deleted file mode 100644 index b0954b96..00000000 --- a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.md5 b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.md5 deleted file mode 100644 index 747e018b..00000000 --- a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -16237fcc548438a6a9511704cfc7d0b2 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.png b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.png deleted file mode 100644 index 397bc130..00000000 Binary files a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.map b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.map deleted file mode 100644 index 7b44bceb..00000000 --- a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.md5 b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.md5 deleted file mode 100644 index a4da334e..00000000 --- a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1b64deb969596f5a950f33d991158bcb \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.png b/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.png deleted file mode 100644 index ab685eeb..00000000 Binary files a/doc/manual/html/spectra_8c_a192c3cc36d17f276ed7b5d7e485e70f1_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.map b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.map deleted file mode 100644 index 8af9688d..00000000 --- a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.md5 b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.md5 deleted file mode 100644 index c26db631..00000000 --- a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b6928d0b802f3d38f6841de334c6da94 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.png b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.png deleted file mode 100644 index 2f29728e..00000000 Binary files a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.map b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.map deleted file mode 100644 index bb01deeb..00000000 --- a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.md5 b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.md5 deleted file mode 100644 index 0c4c3522..00000000 --- a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -54f1080471061518b99913ee413679a3 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.png b/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.png deleted file mode 100644 index 656019ce..00000000 Binary files a/doc/manual/html/spectra_8c_a1a6dd87098ad3da12ff3a685a6e32010_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.map b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.map deleted file mode 100644 index 0a6a91cf..00000000 --- a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.md5 b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.md5 deleted file mode 100644 index 94fed209..00000000 --- a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5210f9d6bd44ea0f5b7742c4efa655cb \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.png b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.png deleted file mode 100644 index b8ac6927..00000000 Binary files a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.map b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.map deleted file mode 100644 index 5c2756f1..00000000 --- a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.md5 b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.md5 deleted file mode 100644 index 79921d9c..00000000 --- a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7760aaad86b82469fe25c5fe79e75a08 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.png b/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.png deleted file mode 100644 index c9213f98..00000000 Binary files a/doc/manual/html/spectra_8c_a202211a45920a13d8f0f0d545e45b226_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.map b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.map deleted file mode 100644 index eed384d6..00000000 --- a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.md5 b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.md5 deleted file mode 100644 index b20931bd..00000000 --- a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2857e35f353bce0193f68756df9ec95a \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.png b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.png deleted file mode 100644 index 972e9e3f..00000000 Binary files a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.map b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.map deleted file mode 100644 index a80362fc..00000000 --- a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.md5 b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.md5 deleted file mode 100644 index e8b42eb3..00000000 --- a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bda3adf05fa03621d4e63725e23c4ff5 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.png b/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.png deleted file mode 100644 index 3eba5ab4..00000000 Binary files a/doc/manual/html/spectra_8c_a31176b43d36e06fd89804ca7b6d77f6e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.map b/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.map deleted file mode 100644 index 74dda7b3..00000000 --- a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.md5 b/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.md5 deleted file mode 100644 index d11ddafc..00000000 --- a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2b6e95985ac1fdc9628615579808c14a \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.png b/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.png deleted file mode 100644 index a03f35de..00000000 Binary files a/doc/manual/html/spectra_8c_a381ba2cc19c5d43d481e816d73f2f58e_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.map b/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.map deleted file mode 100644 index 3fdf2650..00000000 --- a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.md5 b/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.md5 deleted file mode 100644 index 36f00851..00000000 --- a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5cef8e08db6b5ee63596615a7a28e6a4 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.png b/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.png deleted file mode 100644 index 14fa5422..00000000 Binary files a/doc/manual/html/spectra_8c_a474a08a4d11642f6e688524556442909_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.map b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.map deleted file mode 100644 index a638c9f1..00000000 --- a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.md5 b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.md5 deleted file mode 100644 index fb9103a6..00000000 --- a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ea6b03a22896e1dd25df591bc56cecdf \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.png b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.png deleted file mode 100644 index 47ed5ada..00000000 Binary files a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.map b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.map deleted file mode 100644 index 359c994e..00000000 --- a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.md5 b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.md5 deleted file mode 100644 index 26fd8f54..00000000 --- a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e89761eba9605f34da50a097f755058d \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.png b/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.png deleted file mode 100644 index 5296cb32..00000000 Binary files a/doc/manual/html/spectra_8c_a4cf287a8b3796656614e40b9132f1176_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.map b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.map deleted file mode 100644 index 40d90da6..00000000 --- a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.md5 b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.md5 deleted file mode 100644 index db1c39be..00000000 --- a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d3a9b74ca742d8da13a1815a91dab856 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.png b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.png deleted file mode 100644 index dd8ccd64..00000000 Binary files a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.map b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.map deleted file mode 100644 index aa00262a..00000000 --- a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.md5 b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.md5 deleted file mode 100644 index cafdff7a..00000000 --- a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -965eda2922f31c4d445ffa61f0e2ab96 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.png b/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.png deleted file mode 100644 index 62347424..00000000 Binary files a/doc/manual/html/spectra_8c_a5c100c52fd6479fee1c477d9fd841f28_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.map b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.map deleted file mode 100644 index b5f9103e..00000000 --- a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.md5 b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.md5 deleted file mode 100644 index aef46a87..00000000 --- a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -759fba249fc098862b66ce8c1bcc5af9 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.png b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.png deleted file mode 100644 index 80c12613..00000000 Binary files a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.map b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.map deleted file mode 100644 index da8dba29..00000000 --- a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.md5 b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.md5 deleted file mode 100644 index c00192a7..00000000 --- a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1d73d510cf52a5c9ab5d7be5b5258910 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.png b/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.png deleted file mode 100644 index bbc13693..00000000 Binary files a/doc/manual/html/spectra_8c_a8cf07f6b59b5c27822187b8dfb2e257e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.map b/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.map deleted file mode 100644 index 26114271..00000000 --- a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.md5 b/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.md5 deleted file mode 100644 index 56532528..00000000 --- a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -716039ed6446ae49a9d43f5f92d88ed7 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.png b/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.png deleted file mode 100644 index 6d5fe1fd..00000000 Binary files a/doc/manual/html/spectra_8c_a99c7fafb33b166530fc1a9206feb453f_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.map b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.map deleted file mode 100644 index f6cb33e3..00000000 --- a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.md5 b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.md5 deleted file mode 100644 index d411194b..00000000 --- a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -88501dd839267ee5fdab454891b4ff21 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.png b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.png deleted file mode 100644 index 6080d09e..00000000 Binary files a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.map b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.map deleted file mode 100644 index 07eba4e2..00000000 --- a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.md5 b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.md5 deleted file mode 100644 index 9fe3ba6d..00000000 --- a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4229cd9d2f754ccda4126d6dab29407b \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.png b/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.png deleted file mode 100644 index 15576765..00000000 Binary files a/doc/manual/html/spectra_8c_aa30ca71782f1b8bf9aed8a3be0637959_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.map b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.map deleted file mode 100644 index 0ad01ae4..00000000 --- a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.md5 b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.md5 deleted file mode 100644 index 0aef05b4..00000000 --- a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bd309a2bea6718e10a9b706f386f2e72 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.png b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.png deleted file mode 100644 index ff2f0f12..00000000 Binary files a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.map b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.map deleted file mode 100644 index 0c36907e..00000000 --- a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.md5 b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.md5 deleted file mode 100644 index a8d7ee9b..00000000 --- a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -bb0fefa8d51aa497cf068b66bda10fac \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.png b/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.png deleted file mode 100644 index d1408764..00000000 Binary files a/doc/manual/html/spectra_8c_aad251bcc29d8eee1448d01e30260eb4a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.map b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.map deleted file mode 100644 index 35fd5a5f..00000000 --- a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.md5 b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.md5 deleted file mode 100644 index f7a1a4cd..00000000 --- a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -438d308da8a91d7f44348defc1e7d52a \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.png b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.png deleted file mode 100644 index 7c11779d..00000000 Binary files a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.map b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.map deleted file mode 100644 index b8e94787..00000000 --- a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.md5 b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.md5 deleted file mode 100644 index de7b6d41..00000000 --- a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -10f8162dabe20419c4906bd84b3a253f \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.png b/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.png deleted file mode 100644 index 08ba8a17..00000000 Binary files a/doc/manual/html/spectra_8c_ab59220fbc82fe2fa2997105af4d68187_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.map b/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.map deleted file mode 100644 index 449b802d..00000000 --- a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.md5 b/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.md5 deleted file mode 100644 index 165dd3c5..00000000 --- a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -88a98a1f665804ee2f128f0a7757fd89 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.png b/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.png deleted file mode 100644 index e9308a2b..00000000 Binary files a/doc/manual/html/spectra_8c_ab9a34eea930c566c6b47cc79da887853_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.map b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.map deleted file mode 100644 index 2740bb6e..00000000 --- a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.md5 b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.md5 deleted file mode 100644 index 51062d9e..00000000 --- a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -021526437afdf1c8acd0a42c500d7d0f \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.png b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.png deleted file mode 100644 index 2a089f4c..00000000 Binary files a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.map b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.map deleted file mode 100644 index 2126ff30..00000000 --- a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.md5 b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.md5 deleted file mode 100644 index 460721e9..00000000 --- a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -40b5a61ed813acbf53073ab8388a7850 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.png b/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.png deleted file mode 100644 index 00b5dd9a..00000000 Binary files a/doc/manual/html/spectra_8c_aba1b6d8a8efcf54131a9a7dac9361bd4_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.map b/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.map deleted file mode 100644 index 384b199e..00000000 --- a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.md5 b/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.md5 deleted file mode 100644 index 9cdc3685..00000000 --- a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -deb78e79835aae346ada9d6151423ab1 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.png b/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.png deleted file mode 100644 index 43386baa..00000000 Binary files a/doc/manual/html/spectra_8c_acbfeac6ad88fa757677b47d76722aec3_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.map b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.map deleted file mode 100644 index ff624b68..00000000 --- a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.md5 b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.md5 deleted file mode 100644 index f4fe2fbf..00000000 --- a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1ab1e5c6ea625743a6322ad00607ee21 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.png b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.png deleted file mode 100644 index 39500a2d..00000000 Binary files a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_cgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.map b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.map deleted file mode 100644 index f4583612..00000000 --- a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.md5 b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.md5 deleted file mode 100644 index 10dbca3f..00000000 --- a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a2b2bb1fe231d4084c64aed6f0025a57 \ No newline at end of file diff --git a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.png b/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.png deleted file mode 100644 index deefcda3..00000000 Binary files a/doc/manual/html/spectra_8c_aff413243f74650e6eba56225ef30fb81_icgraph.png and /dev/null differ diff --git a/doc/manual/html/spectra_8h.html b/doc/manual/html/spectra_8h.html deleted file mode 100644 index c0245946..00000000 --- a/doc/manual/html/spectra_8h.html +++ /dev/null @@ -1,949 +0,0 @@ - - - - - - - -CLASS MANUAL: spectra.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures
    -
    -
    spectra.h File Reference
    -
    -
    -
    #include "transfer.h"
    -
    - + Include dependency graph for spectra.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - -

    -Data Structures

    struct  spectra
     
    -

    Detailed Description

    -

    Documented includes for spectra module

    -

    Data Structure Documentation

    - -

    ◆ spectra

    - -
    -
    - - - - -
    struct spectra
    -
    -

    Structure containing everything about anisotropy and Fourier power spectra that other modules need to know.

    -

    Once initialized by spectra_init(), contains a table of all $ C_l$'s and P(k) as a function of multipole/wavenumber, mode (scalar/tensor...), type (for $ C_l$'s: TT, TE...), and pairs of initial conditions (adiabatic, isocurvatures...).

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -double -z_max_pk -

    maximum value of z at which matter spectrum P(k,z) will be evaluated; keep fixed to zero if P(k) only needed today

    -
    -int -non_diag -

    sets the number of cross-correlation spectra that you want to calculate: 0 means only auto-correlation, 1 means only adjacent bins, and number of bins minus one means all correlations

    -
    -int -md_size -

    number of modes (scalar, tensor, ...) included in computation

    -
    -int -index_md_scalars -

    index for scalar modes

    -
    -int * -ic_size -

    for a given mode, ic_size[index_md] = number of initial conditions included in computation

    -
    -int * -ic_ic_size -

    for a given mode, ic_ic_size[index_md] = number of pairs of (index_ic1, index_ic2) with index_ic2 >= index_ic1; this number is just N(N+1)/2 where N = ic_size[index_md]

    -
    -short ** -is_non_zero -

    for a given mode, is_non_zero[index_md][index_ic1_ic2] is set to true if the pair of initial conditions (index_ic1, index_ic2) are statistically correlated, or to false if they are uncorrelated

    -
    -int -has_tt -

    do we want $ C_l^{TT}$? (T = temperature)

    -
    -int -has_ee -

    do we want $ C_l^{EE}$? (E = E-polarization)

    -
    -int -has_te -

    do we want $ C_l^{TE}$?

    -
    -int -has_bb -

    do we want $ C_l^{BB}$? (B = B-polarization)

    -
    -int -has_pp -

    do we want $ C_l^{\phi\phi}$? ( $ \phi $ = CMB lensing potential)

    -
    -int -has_tp -

    do we want $ C_l^{T\phi}$?

    -
    -int -has_ep -

    do we want $ C_l^{E\phi}$?

    -
    -int -has_dd -

    do we want $ C_l^{dd}$? (d = density)

    -
    -int -has_td -

    do we want $ C_l^{Td}$?

    -
    -int -has_pd -

    do we want $ C_l^{\phi d}$?

    -
    -int -has_ll -

    do we want $ C_l^{ll}$? (l = galaxy lensing potential)

    -
    -int -has_tl -

    do we want $ C_l^{Tl}$?

    -
    -int -has_dl -

    do we want $ C_l^{dl}$?

    -
    -int -index_ct_tt -

    index for type $ C_l^{TT} $

    -
    -int -index_ct_ee -

    index for type $ C_l^{EE} $

    -
    -int -index_ct_te -

    index for type $ C_l^{TE} $

    -
    -int -index_ct_bb -

    index for type $ C_l^{BB} $

    -
    -int -index_ct_pp -

    index for type $ C_l^{\phi\phi} $

    -
    -int -index_ct_tp -

    index for type $ C_l^{T\phi} $

    -
    -int -index_ct_ep -

    index for type $ C_l^{E\phi} $

    -
    -int -index_ct_dd -

    first index for type $ C_l^{dd} $((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values)

    -
    -int -index_ct_td -

    first index for type $ C_l^{Td} $(d_size values)

    -
    -int -index_ct_pd -

    first index for type $ C_l^{pd} $(d_size values)

    -
    -int -index_ct_ll -

    first index for type $ C_l^{ll} $((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values)

    -
    -int -index_ct_tl -

    first index for type $ C_l^{Tl} $(d_size values)

    -
    -int -index_ct_dl -

    first index for type $ C_l^{dl} $(d_size values)

    -
    -int -d_size -

    number of bins for which density Cl's are computed

    -
    -int -ct_size -

    number of $ C_l $ types requested

    -
    -int * -l_size -

    number of multipole values for each requested mode, l_size[index_md]

    -
    -int -l_size_max -

    greatest of all l_size[index_md]

    -
    -double * -l -

    list of multipole values l[index_l]

    -
    -int ** -l_max_ct -

    last multipole (given as an input) at which we want to output $ C_l$'s for a given mode and type; l[index_md][l_size[index_md]-1] can be larger than l_max[index_md], in order to ensure a better interpolation with no boundary effects

    -
    -int * -l_max -

    last multipole (given as an input) at which we want to output $ C_l$'s for a given mode (maximized over types); l[index_md][l_size[index_md]-1] can be larger than l_max[index_md], in order to ensure a better interpolation with no boundary effects

    -
    -int -l_max_tot -

    last multipole (given as an input) at which we want to output $ C_l$'s (maximized over modes and types); l[index_md][l_size[index_md]-1] can be larger than l_max[index_md], in order to ensure a better interpolation with no boundary effects

    -
    -double ** -cl -

    table of anisotropy spectra for each mode, multipole, pair of initial conditions and types, cl[index_md][(index_l * psp->ic_ic_size[index_md] + index_ic1_ic2) * psp->ct_size + index_ct]

    -
    -double ** -ddcl -

    second derivatives of previous table with respect to l, in view of spline interpolation

    -
    -double -alpha_II_2_20 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers)

    -
    -double -alpha_RI_2_20 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers)

    -
    -double -alpha_RR_2_20 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers)

    -
    -double -alpha_II_21_200 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers)

    -
    -double -alpha_RI_21_200 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers)

    -
    -double -alpha_RR_21_200 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers)

    -
    -double -alpha_II_201_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers)

    -
    -double -alpha_RI_201_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers)

    -
    -double -alpha_RR_201_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers)

    -
    -double -alpha_II_2_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers)

    -
    -double -alpha_RI_2_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers)

    -
    -double -alpha_RR_2_2500 -

    parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers)

    -
    -double -alpha_kp -

    parameter describing adiabatic versus isocurvature contribution at pivot scale (see Planck parameter papers)

    -
    -double -alpha_k1 -

    parameter describing adiabatic versus isocurvature contribution at scale k1 (see Planck parameter papers)

    -
    -double -alpha_k2 -

    parameter describing adiabatic versus isocurvature contribution at scale k2 (see Planck parameter papers)

    -
    -int -ln_k_size -

    number ln(k) values

    -
    -double * -ln_k -

    list of ln(k) values ln_k[index_k]

    -
    -int -ln_tau_size -

    number of ln(tau) values, for the matter power spectrum and the matter transfer functions, (only one if z_max_pk = 0)

    -
    -double * -ln_tau -

    list of ln(tau) values ln_tau[index_tau], for the matter power spectrum and the matter transfer functions, in growing order. So exp(ln_tau[0]) is the earliest time (i.e. highest redshift), while exp(ln_tau[ln_tau_size-1]) is today (i.e z=0).

    -
    -double * -ln_pk -

    Matter power spectrum. depends on indices index_ic1_ic2, index_k, index_tau as: ln_pk[(index_tau * psp->k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] where index_ic1_ic2 labels ordered pairs (index_ic1, index_ic2) (since the primordial spectrum is symmetric in (index_ic1, index_ic2)).

      -
    • for diagonal elements (index_ic1 = index_ic2) this arrays contains ln[P(k)] where P(k) is positive by construction.
      • -
    • for non-diagonal elements this arrays contains the k-dependent cosine of the correlation angle, namely P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] This choice is convenient since the sign of the non-diagonal cross-correlation is arbitrary. For fully correlated or anti-correlated initial conditions, this non-diagonal element is independent on k, and equal to +1 or -1.
      • -
    -
    -double * -ddln_pk -

    second derivative of above array with respect to log(tau), for spline interpolation. So:

      -
    • for index_ic1 = index_ic, we spline ln[P(k)] vs. ln(k), which is good since this function is usually smooth.
      • -
    • for non-diagonal coefficients, we spline P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] vs. ln(k), which is fine since this quantity is often assumed to be constant (e.g for fully correlated/anticorrelated initial conditions) or nearly constant, and with arbitrary sign.
      • -
    -
    -double -sigma8 -

    sigma8 parameter

    -
    -double -sigma8_cb -

    if ncdm present: contribution to sigma8 from only baryons and cdm

    -
    -double * -ln_pk_l -
    -double * -ddln_pk_l -

    q< Total linear matter power spectrum, just depending on indices index_k, index_tau as: ln_pk[index_tau * psp->k_size + index_k] Range of k and tau value identical to ln_pk array. second derivative of above array with respect to log(tau), for spline interpolation.

    -
    -int -ln_tau_nl_size -

    number of ln(tau) values for non-linear spectrum (possibly smaller than ln_tau_size, because the non-linear spectrum is stored only in the time/redhsift range where the non-linear corrections were really computed, to avoid dealing with discontinuities in the spline interpolation)

    -
    -double * -ln_tau_nl -

    list of ln(tau) values ln_tau_nl[index_tau], for the non-linear power spectrum, in growing order. So exp(ln_tau_nl[0]) is the earliest time (i.e. highest redshift), while exp(ln_tau_nl[ln_tau_nl_size-1]) is today (i.e z=0).

    -
    -double * -ln_pk_nl -

    Non-linear matter power spectrum. depends on indices index_k, index_tau as: ln_pk_nl[index_tau * psp->k_size + index_k]

    -
    -double * -ddln_pk_nl -

    second derivative of above array with respect to log(tau), for spline interpolation.

    -
    -double * -ln_pk_cb -

    same as ln_pk for baryon+cdm component only

    -
    -double * -ddln_pk_cb -

    same as ddln_pk for baryon+cdm component only

    -
    -double * -ln_pk_cb_l -

    same as ln_pk_l for baryon+cdm component only

    -
    -double * -ddln_pk_cb_l -

    same as ddln_pk_l for baryon+cdm component only

    -
    -double * -ln_pk_cb_nl -

    same as ln_pk_nl for baryon+cdm component only

    -
    -double * -ddln_pk_cb_nl -

    same as ddln_pk_nl for baryon+cdm component only

    -
    -int -index_tr_delta_g -

    index of gamma density transfer function

    -
    -int -index_tr_delta_b -

    index of baryon density transfer function

    -
    -int -index_tr_delta_cdm -

    index of cold dark matter density transfer function

    -
    -int -index_tr_delta_dcdm -

    index of decaying cold dark matter density transfer function

    -
    -int -index_tr_delta_scf -

    index of scalar field phi transfer function

    -
    -int -index_tr_delta_fld -

    index of dark energy fluid density transfer function

    -
    -int -index_tr_delta_ur -

    index of ultra-relativistic neutrinos/relics density transfer function

    -
    -int -index_tr_delta_dr -

    index of decay radiation density transfer function

    -
    -int -index_tr_delta_ncdm1 -

    index of first species of non-cold dark matter (massive neutrinos, ...) density transfer function

    -
    -int -index_tr_delta_tot -

    index of total matter density transfer function

    -
    -int -index_tr_theta_g -

    index of gamma velocity transfer function

    -
    -int -index_tr_theta_b -

    index of baryon velocity transfer function

    -
    -int -index_tr_theta_cdm -

    index of cold dark matter velocity transfer function

    -
    -int -index_tr_theta_dcdm -

    index of decaying cold dark matter velocity transfer function

    -
    -int -index_tr_theta_scf -

    index of derivative of scalar field phi transfer function

    -
    -int -index_tr_theta_fld -

    index of dark energy fluid velocity transfer function

    -
    -int -index_tr_theta_ur -

    index of ultra-relativistic neutrinos/relics velocity transfer function

    -
    -int -index_tr_theta_dr -

    index of decay radiation velocity transfer function

    -
    -int -index_tr_theta_ncdm1 -

    index of first species of non-cold dark matter (massive neutrinos, ...) velocity transfer function

    -
    -int -index_tr_theta_tot -

    index of total matter velocity transfer function

    -
    -int -index_tr_phi -

    index of Bardeen potential phi

    -
    -int -index_tr_psi -

    index of Bardeen potential psi

    -
    -int -index_tr_phi_prime -

    index of derivative of Bardeen potential phi

    -
    -int -index_tr_h -

    index of synchronous gauge metric perturbation h

    -
    -int -index_tr_h_prime -

    index of synchronous gauge metric perturbation h'

    -
    -int -index_tr_eta -

    index of synchronous gauge metric perturbation eta

    -
    -int -index_tr_eta_prime -

    index of synchronous gauge metric perturbation eta'

    -
    -int -tr_size -

    total number of species in transfer functions

    -
    -double * -matter_transfer -

    Matter transfer functions. Depends on indices index_md,index_tau,index_ic,index_k, index_tr as: matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + index_tr]

    -
    -double * -ddmatter_transfer -

    second derivative of above array with respect to log(tau), for spline interpolation.

    -
    -short -spectra_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/spectra_8h__dep__incl.map b/doc/manual/html/spectra_8h__dep__incl.map deleted file mode 100644 index b8b9ecf5..00000000 --- a/doc/manual/html/spectra_8h__dep__incl.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/spectra_8h__dep__incl.md5 b/doc/manual/html/spectra_8h__dep__incl.md5 deleted file mode 100644 index ded60cc7..00000000 --- a/doc/manual/html/spectra_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -8dd55e7eaddf8df5ab51dcbf6481c14b \ No newline at end of file diff --git a/doc/manual/html/spectra_8h__dep__incl.png b/doc/manual/html/spectra_8h__dep__incl.png deleted file mode 100644 index 565392b3..00000000 Binary files a/doc/manual/html/spectra_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/spectra_8h__incl.map b/doc/manual/html/spectra_8h__incl.map deleted file mode 100644 index d4fd971f..00000000 --- a/doc/manual/html/spectra_8h__incl.map +++ /dev/null @@ -1,18 +0,0 @@ - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/spectra_8h__incl.md5 b/doc/manual/html/spectra_8h__incl.md5 deleted file mode 100644 index da64de24..00000000 --- a/doc/manual/html/spectra_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -4b6c0a4cf277260f5cba9c66f6531888 \ No newline at end of file diff --git a/doc/manual/html/spectra_8h__incl.png b/doc/manual/html/spectra_8h__incl.png deleted file mode 100644 index c511b176..00000000 Binary files a/doc/manual/html/spectra_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/spectra_8h_source.html b/doc/manual/html/spectra_8h_source.html deleted file mode 100644 index ae7a327d..00000000 --- a/doc/manual/html/spectra_8h_source.html +++ /dev/null @@ -1,236 +0,0 @@ - - - - - - - -CLASS MANUAL: spectra.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    spectra.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __SPECTRA__
    4 #define __SPECTRA__
    5 
    6 #include "transfer.h"
    7 
    17 struct spectra {
    18 
    25 
    26  double z_max_pk;
    29  int non_diag;
    36 
    40 
    41  int md_size;
    42  int index_md_scalars;
    44  int * ic_size;
    45  int * ic_ic_size;
    46  short ** is_non_zero;
    49 
    53 
    54  int has_tt;
    55  int has_ee;
    56  int has_te;
    57  int has_bb;
    58  int has_pp;
    59  int has_tp;
    60  int has_ep;
    61  int has_dd;
    62  int has_td;
    63  int has_pd;
    64  int has_ll;
    65  int has_tl;
    66  int has_dl;
    68  int index_ct_tt;
    69  int index_ct_ee;
    70  int index_ct_te;
    71  int index_ct_bb;
    72  int index_ct_pp;
    73  int index_ct_tp;
    74  int index_ct_ep;
    75  int index_ct_dd;
    76  int index_ct_td;
    77  int index_ct_pd;
    78  int index_ct_ll;
    79  int index_ct_tl;
    80  int index_ct_dl;
    82  int d_size;
    84  int ct_size;
    87 
    91 
    92  int * l_size;
    94  int l_size_max;
    96  double * l;
    99  int ** l_max_ct;
    105  int * l_max;
    111  int l_max_tot;
    117  double ** cl;
    118  double ** ddcl;
    120  double alpha_II_2_20;
    121  double alpha_RI_2_20;
    122  double alpha_RR_2_20;
    124  double alpha_II_21_200;
    125  double alpha_RI_21_200;
    126  double alpha_RR_21_200;
    128  double alpha_II_201_2500;
    129  double alpha_RI_201_2500;
    130  double alpha_RR_201_2500;
    132  double alpha_II_2_2500;
    133  double alpha_RI_2_2500;
    134  double alpha_RR_2_2500;
    136  double alpha_kp;
    137  double alpha_k1;
    138  double alpha_k2;
    141 
    145 
    146  int ln_k_size;
    147  double * ln_k;
    149  int ln_tau_size;
    153  double * ln_tau;
    161  double * ln_pk;
    176  double * ddln_pk;
    186  double sigma8;
    188  double sigma8_cb;
    190  double * ln_pk_l;
    196  double * ddln_pk_l;
    198  int ln_tau_nl_size;
    206  double * ln_tau_nl;
    214  double * ln_pk_nl;
    217  double * ddln_pk_nl;
    219  double * ln_pk_cb;
    220  double * ddln_pk_cb;
    222  double * ln_pk_cb_l;
    223  double * ddln_pk_cb_l;
    225  double * ln_pk_cb_nl;
    226  double * ddln_pk_cb_nl;
    228  int index_tr_delta_g;
    229  int index_tr_delta_b;
    230  int index_tr_delta_cdm;
    231  int index_tr_delta_dcdm;
    232  int index_tr_delta_scf;
    233  int index_tr_delta_fld;
    234  int index_tr_delta_ur;
    235  int index_tr_delta_dr;
    236  int index_tr_delta_ncdm1;
    237  int index_tr_delta_tot;
    238  int index_tr_theta_g;
    239  int index_tr_theta_b;
    240  int index_tr_theta_cdm;
    241  int index_tr_theta_dcdm;
    242  int index_tr_theta_scf;
    243  int index_tr_theta_fld;
    244  int index_tr_theta_ur;
    245  int index_tr_theta_dr;
    246  int index_tr_theta_ncdm1;
    247  int index_tr_theta_tot;
    248  int index_tr_phi;
    249  int index_tr_psi;
    250  int index_tr_phi_prime;
    251  int index_tr_h;
    252  int index_tr_h_prime;
    253  int index_tr_eta;
    254  int index_tr_eta_prime;
    255  int tr_size;
    257  double * matter_transfer;
    261  double * ddmatter_transfer;
    263  /* double * LddCl; /\**< density Cl's in the Limber plus thin shell approximation (then, there are no non-diagonal correlations between various shells of different redshifts); depends on index_tau,index_l as: LddCl[index_tau*psp->psp->l_size[psp->index_md_scalars]+index_l] *\/ */
    264 
    265  /* double * LTdCl; /\**< cross (temperature * density) Cl's in the Limber plus thin shell approximation; depends on index_tau,index_l as: LTdCl[index_tau*psp->psp->l_size[psp->index_md_scalars]+index_l] *\/ */
    266 
    268 
    272 
    273  short spectra_verbose;
    275  ErrorMsg error_message;
    278 };
    279 
    280 /*************************************************************************************************************/
    281 /* @cond INCLUDE_WITH_DOXYGEN */
    282 /*
    283  * Boilerplate for C++
    284  */
    285 #ifdef __cplusplus
    286 extern "C" {
    287 #endif
    288 
    289  int spectra_bandpower(
    290  struct spectra * psp,
    291  int l1,
    292  int l2,
    293  double * TT_II,
    294  double * TT_RI,
    295  double * TT_RR
    296  );
    297 
    298  int spectra_cl_at_l(
    299  struct spectra * psp,
    300  double l,
    301  double * cl,
    302  double ** cl_md,
    303  double ** cl_md_ic
    304  );
    305 
    306  int spectra_pk_at_z(
    307  struct background * pba,
    308  struct spectra * psp,
    309  enum linear_or_logarithmic mode,
    310  double z,
    311  double * output_tot,
    312  double * output_ic,
    313  double * output_cb_tot,
    314  double * output_cb_ic
    315  );
    316 
    317  int spectra_pk_at_k_and_z(
    318  struct background * pba,
    319  struct primordial * ppm,
    320  struct spectra * psp,
    321  double k,
    322  double z,
    323  double * pk,
    324  double * pk_ic,
    325  double * pk_cb,
    326  double * pk_cb_ic
    327  );
    328 
    329  int spectra_pk_nl_at_z(
    330  struct background * pba,
    331  struct spectra * psp,
    332  enum linear_or_logarithmic mode,
    333  double z,
    334  double * output_tot,
    335  double * output_cb_tot
    336  );
    337 
    338  int spectra_pk_nl_at_k_and_z(
    339  struct background * pba,
    340  struct primordial * ppm,
    341  struct spectra * psp,
    342  double k,
    343  double z,
    344  double * pk_tot,
    345  double * pk_cb_tot
    346  );
    347 
    348  int spectra_tk_at_z(
    349  struct background * pba,
    350  struct spectra * psp,
    351  double z,
    352  double * output
    353  );
    354 
    355  int spectra_tk_at_k_and_z(
    356  struct background * pba,
    357  struct spectra * psp,
    358  double k,
    359  double z,
    360  double * output
    361  );
    362 
    363  int spectra_init(
    364  struct precision * ppr,
    365  struct background * pba,
    366  struct perturbs * ppt,
    367  struct primordial * ppm,
    368  struct nonlinear *pnl,
    369  struct transfers * ptr,
    370  struct spectra * psp
    371  );
    372 
    373  int spectra_free(
    374  struct spectra * psp
    375  );
    376 
    377  int spectra_indices(
    378  struct background * pba,
    379  struct perturbs * ppt,
    380  struct transfers * ptr,
    381  struct primordial * ppm,
    382  struct spectra * psp
    383  );
    384 
    385  int spectra_cls(
    386  struct background * pba,
    387  struct perturbs * ppt,
    388  struct transfers * ptr,
    389  struct primordial * ppm,
    390  struct spectra * psp
    391  );
    392 
    393  int spectra_compute_cl(
    394  struct background * pba,
    395  struct perturbs * ppt,
    396  struct transfers * ptr,
    397  struct primordial * ppm,
    398  struct spectra * psp,
    399  int index_md,
    400  int index_ic1,
    401  int index_ic2,
    402  int index_l,
    403  int cl_integrand_num_columns,
    404  double * cl_integrand,
    405  double * primordial_pk,
    406  double * transfer_ic1,
    407  double * transfer_ic2
    408  );
    409 
    410  int spectra_k_and_tau(
    411  struct background * pba,
    412  struct perturbs * ppt,
    413  struct nonlinear *pnl,
    414  struct spectra * psp
    415  );
    416 
    417  int spectra_pk(
    418  struct background * pba,
    419  struct perturbs * ppt,
    420  struct primordial * ppm,
    421  struct nonlinear *pnl,
    422  struct spectra * psp
    423  );
    424 
    425  int spectra_sigma(
    426  struct background * pba,
    427  struct primordial * ppm,
    428  struct spectra * psp,
    429  double R,
    430  double z,
    431  double *sigma
    432  );
    433 
    434  int spectra_sigma_cb(
    435  struct background * pba,
    436  struct primordial * ppm,
    437  struct spectra * psp,
    438  double R,
    439  double z,
    440  double *sigma_cb
    441  );
    442 
    443  int spectra_matter_transfers(
    444  struct background * pba,
    445  struct perturbs * ppt,
    446  struct spectra * psp
    447  );
    448 
    449  int spectra_output_tk_titles(struct background *pba,
    450  struct perturbs *ppt,
    451  enum file_format output_format,
    452  char titles[_MAXTITLESTRINGLENGTH_]
    453  );
    454 
    455  int spectra_output_tk_data(
    456  struct background * pba,
    457  struct perturbs * ppt,
    458  struct spectra * psp,
    459  enum file_format output_format,
    460  double z,
    461  int number_of_titles,
    462  double *data
    463  );
    464 
    465  int spectra_firstline_and_ic_suffix(struct perturbs *ppt,
    466  int index_ic,
    467  char first_line[_LINE_LENGTH_MAX_],
    468  FileName ic_suffix);
    469 
    470  int spectra_fast_pk_at_kvec_and_zvec(
    471  struct background * pba,
    472  struct spectra * psp,
    473  double * kvec,
    474  int kvec_size,
    475  double * zvec,
    476  int zvec_size,
    477  double * pk_tot_out, /* (must be already allocated with kvec_size*zvec_size) */
    478  double * pk_cb_tot_out,
    479  int nonlinear);
    480 
    481 #ifdef __cplusplus
    482 }
    483 #endif
    484 
    485 #endif
    486 /* @endcond */
    spectra_tk_at_z
    int spectra_tk_at_z(struct background *pba, struct spectra *psp, double z, double *output)
    Definition: spectra.c:1339
    -
    spectra::has_ll
    int has_ll
    Definition: spectra.h:64
    -
    spectra::index_tr_theta_dr
    int index_tr_theta_dr
    Definition: spectra.h:245
    -
    spectra::index_ct_pd
    int index_ct_pd
    Definition: spectra.h:77
    -
    spectra::index_ct_pp
    int index_ct_pp
    Definition: spectra.h:72
    -
    spectra::ln_pk_nl
    double * ln_pk_nl
    Definition: spectra.h:214
    -
    background
    Definition: background.h:31
    -
    spectra_output_tk_data
    int spectra_output_tk_data(struct background *pba, struct perturbs *ppt, struct spectra *psp, enum file_format output_format, double z, int number_of_titles, double *data)
    Definition: spectra.c:4044
    -
    spectra::index_ct_tt
    int index_ct_tt
    Definition: spectra.h:68
    -
    spectra::sigma8_cb
    double sigma8_cb
    Definition: spectra.h:188
    -
    spectra::index_tr_delta_ur
    int index_tr_delta_ur
    Definition: spectra.h:234
    -
    spectra::error_message
    ErrorMsg error_message
    Definition: spectra.h:275
    -
    spectra::has_te
    int has_te
    Definition: spectra.h:56
    -
    spectra::index_ct_ee
    int index_ct_ee
    Definition: spectra.h:69
    -
    spectra::alpha_RR_2_2500
    double alpha_RR_2_2500
    Definition: spectra.h:134
    -
    spectra::index_tr_phi_prime
    int index_tr_phi_prime
    Definition: spectra.h:250
    -
    spectra::index_tr_delta_dcdm
    int index_tr_delta_dcdm
    Definition: spectra.h:231
    -
    spectra_pk_at_z
    int spectra_pk_at_z(struct background *pba, struct spectra *psp, enum linear_or_logarithmic mode, double z, double *output_tot, double *output_ic, double *output_cb_tot, double *output_cb_ic)
    Definition: spectra.c:343
    -
    spectra::ln_tau_nl
    double * ln_tau_nl
    Definition: spectra.h:206
    -
    spectra::l
    double * l
    Definition: spectra.h:96
    -
    spectra::index_tr_delta_ncdm1
    int index_tr_delta_ncdm1
    Definition: spectra.h:236
    -
    spectra::ddln_pk
    double * ddln_pk
    Definition: spectra.h:176
    -
    spectra::ln_tau
    double * ln_tau
    Definition: spectra.h:153
    -
    spectra::has_td
    int has_td
    Definition: spectra.h:62
    -
    spectra::index_tr_theta_tot
    int index_tr_theta_tot
    Definition: spectra.h:247
    -
    spectra::index_ct_bb
    int index_ct_bb
    Definition: spectra.h:71
    -
    spectra
    Definition: spectra.h:17
    -
    spectra::alpha_RI_2_2500
    double alpha_RI_2_2500
    Definition: spectra.h:133
    -
    spectra::ln_pk_cb_nl
    double * ln_pk_cb_nl
    Definition: spectra.h:225
    -
    perturbs
    Definition: perturbations.h:95
    -
    spectra::index_ct_td
    int index_ct_td
    Definition: spectra.h:76
    -
    spectra::alpha_RI_21_200
    double alpha_RI_21_200
    Definition: spectra.h:125
    -
    spectra::z_max_pk
    double z_max_pk
    Definition: spectra.h:26
    -
    spectra::tr_size
    int tr_size
    Definition: spectra.h:255
    -
    spectra::index_tr_delta_g
    int index_tr_delta_g
    Definition: spectra.h:228
    -
    spectra::ct_size
    int ct_size
    Definition: spectra.h:84
    -
    spectra::ic_size
    int * ic_size
    Definition: spectra.h:44
    -
    spectra::ddln_pk_cb_l
    double * ddln_pk_cb_l
    Definition: spectra.h:223
    -
    spectra::index_tr_eta_prime
    int index_tr_eta_prime
    Definition: spectra.h:254
    -
    spectra::index_ct_te
    int index_ct_te
    Definition: spectra.h:70
    -
    spectra_free
    int spectra_free(struct spectra *psp)
    Definition: spectra.c:1725
    -
    spectra::index_tr_h
    int index_tr_h
    Definition: spectra.h:251
    -
    spectra_tk_at_k_and_z
    int spectra_tk_at_k_and_z(struct background *pba, struct spectra *psp, double k, double z, double *output)
    Definition: spectra.c:1433
    -
    spectra::is_non_zero
    short ** is_non_zero
    Definition: spectra.h:46
    -
    spectra::has_ee
    int has_ee
    Definition: spectra.h:55
    -
    spectra_cls
    int spectra_cls(struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp)
    Definition: spectra.c:2160
    -
    spectra_pk_nl_at_k_and_z
    int spectra_pk_nl_at_k_and_z(struct background *pba, struct primordial *ppm, struct spectra *psp, double k, double z, double *pk_tot, double *pk_cb_tot)
    Definition: spectra.c:1193
    -
    spectra::alpha_II_201_2500
    double alpha_II_201_2500
    Definition: spectra.h:128
    -
    spectra::has_pp
    int has_pp
    Definition: spectra.h:58
    -
    spectra_fast_pk_at_kvec_and_zvec
    int spectra_fast_pk_at_kvec_and_zvec(struct background *pba, struct spectra *psp, double *kvec, int kvec_size, double *zvec, int zvec_size, double *pk_tot_out, double *pk_cb_tot_out, int nonlinear)
    Definition: spectra.c:4218
    -
    spectra::l_max_tot
    int l_max_tot
    Definition: spectra.h:111
    -
    spectra::index_ct_ll
    int index_ct_ll
    Definition: spectra.h:78
    -
    spectra::ln_k_size
    int ln_k_size
    Definition: spectra.h:146
    -
    spectra::alpha_k1
    double alpha_k1
    Definition: spectra.h:137
    -
    spectra::alpha_RR_2_20
    double alpha_RR_2_20
    Definition: spectra.h:122
    -
    spectra::alpha_kp
    double alpha_kp
    Definition: spectra.h:136
    -
    spectra::ln_k
    double * ln_k
    Definition: spectra.h:147
    -
    spectra::index_ct_dd
    int index_ct_dd
    Definition: spectra.h:75
    -
    spectra::index_tr_delta_dr
    int index_tr_delta_dr
    Definition: spectra.h:235
    -
    spectra_pk_at_k_and_z
    int spectra_pk_at_k_and_z(struct background *pba, struct primordial *ppm, struct spectra *psp, double k, double z, double *pk_tot, double *pk_ic, double *pk_cb_tot, double *pk_cb_ic)
    Definition: spectra.c:627
    -
    spectra::index_tr_theta_ncdm1
    int index_tr_theta_ncdm1
    Definition: spectra.h:246
    -
    spectra::has_pd
    int has_pd
    Definition: spectra.h:63
    -
    spectra::cl
    double ** cl
    Definition: spectra.h:117
    -
    spectra::alpha_RI_201_2500
    double alpha_RI_201_2500
    Definition: spectra.h:129
    -
    spectra::ln_pk
    double * ln_pk
    Definition: spectra.h:161
    -
    spectra::index_tr_theta_ur
    int index_tr_theta_ur
    Definition: spectra.h:244
    -
    spectra::has_dd
    int has_dd
    Definition: spectra.h:61
    -
    spectra::md_size
    int md_size
    Definition: spectra.h:41
    -
    output
    Definition: output.h:22
    -
    spectra::l_max
    int * l_max
    Definition: spectra.h:105
    -
    spectra::d_size
    int d_size
    Definition: spectra.h:82
    -
    spectra::index_tr_phi
    int index_tr_phi
    Definition: spectra.h:248
    -
    spectra::alpha_RR_21_200
    double alpha_RR_21_200
    Definition: spectra.h:126
    -
    spectra::index_tr_theta_fld
    int index_tr_theta_fld
    Definition: spectra.h:243
    -
    spectra::ddln_pk_l
    double * ddln_pk_l
    Definition: spectra.h:196
    -
    spectra::index_ct_ep
    int index_ct_ep
    Definition: spectra.h:74
    -
    spectra_init
    int spectra_init(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, struct transfers *ptr, struct spectra *psp)
    Definition: spectra.c:1521
    -
    transfers
    Definition: transfer.h:38
    -
    spectra::l_size_max
    int l_size_max
    Definition: spectra.h:94
    -
    spectra_pk
    int spectra_pk(struct background *pba, struct perturbs *ppt, struct primordial *ppm, struct nonlinear *pnl, struct spectra *psp)
    Definition: spectra.c:2916
    -
    spectra::ddln_pk_cb_nl
    double * ddln_pk_cb_nl
    Definition: spectra.h:226
    -
    spectra::alpha_RI_2_20
    double alpha_RI_2_20
    Definition: spectra.h:121
    -
    spectra::has_ep
    int has_ep
    Definition: spectra.h:60
    -
    spectra::index_tr_delta_cdm
    int index_tr_delta_cdm
    Definition: spectra.h:230
    -
    spectra::index_tr_theta_b
    int index_tr_theta_b
    Definition: spectra.h:239
    -
    spectra::alpha_II_21_200
    double alpha_II_21_200
    Definition: spectra.h:124
    -
    spectra::index_tr_delta_scf
    int index_tr_delta_scf
    Definition: spectra.h:232
    -
    spectra::non_diag
    int non_diag
    Definition: spectra.h:29
    -
    spectra::ic_ic_size
    int * ic_ic_size
    Definition: spectra.h:45
    -
    spectra::alpha_II_2_2500
    double alpha_II_2_2500
    Definition: spectra.h:132
    -
    spectra_pk_nl_at_z
    int spectra_pk_nl_at_z(struct background *pba, struct spectra *psp, enum linear_or_logarithmic mode, double z, double *output_tot, double *output_cb_tot)
    Definition: spectra.c:1037
    -
    spectra_compute_cl
    int spectra_compute_cl(struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp, int index_md, int index_ic1, int index_ic2, int index_l, int cl_integrand_num_columns, double *cl_integrand, double *primordial_pk, double *transfer_ic1, double *transfer_ic2)
    Definition: spectra.c:2368
    -
    spectra::has_tl
    int has_tl
    Definition: spectra.h:65
    -
    spectra::index_tr_theta_cdm
    int index_tr_theta_cdm
    Definition: spectra.h:240
    -
    spectra::l_size
    int * l_size
    Definition: spectra.h:92
    -
    spectra_k_and_tau
    int spectra_k_and_tau(struct background *pba, struct perturbs *ppt, struct nonlinear *pnl, struct spectra *psp)
    Definition: spectra.c:2789
    -
    spectra::index_tr_delta_fld
    int index_tr_delta_fld
    Definition: spectra.h:233
    -
    file_format
    file_format
    Definition: common.h:337
    -
    spectra::index_ct_tp
    int index_ct_tp
    Definition: spectra.h:73
    -
    spectra::has_tp
    int has_tp
    Definition: spectra.h:59
    -
    spectra::ln_pk_cb_l
    double * ln_pk_cb_l
    Definition: spectra.h:222
    -
    spectra::has_tt
    int has_tt
    Definition: spectra.h:54
    -
    spectra::index_tr_delta_b
    int index_tr_delta_b
    Definition: spectra.h:229
    -
    spectra::ln_tau_nl_size
    int ln_tau_nl_size
    Definition: spectra.h:198
    -
    spectra::index_ct_dl
    int index_ct_dl
    Definition: spectra.h:80
    -
    spectra::alpha_II_2_20
    double alpha_II_2_20
    Definition: spectra.h:120
    -
    spectra::index_tr_h_prime
    int index_tr_h_prime
    Definition: spectra.h:252
    -
    spectra::ddcl
    double ** ddcl
    Definition: spectra.h:118
    -
    spectra::index_tr_theta_dcdm
    int index_tr_theta_dcdm
    Definition: spectra.h:241
    -
    spectra::l_max_ct
    int ** l_max_ct
    Definition: spectra.h:99
    -
    spectra::index_tr_psi
    int index_tr_psi
    Definition: spectra.h:249
    -
    spectra::index_md_scalars
    int index_md_scalars
    Definition: spectra.h:42
    -
    spectra_sigma
    int spectra_sigma(struct background *pba, struct primordial *ppm, struct spectra *psp, double R, double z, double *sigma)
    Definition: spectra.c:3283
    -
    spectra::matter_transfer
    double * matter_transfer
    Definition: spectra.h:257
    - -
    spectra_matter_transfers
    int spectra_matter_transfers(struct background *pba, struct perturbs *ppt, struct spectra *psp)
    Definition: spectra.c:3484
    -
    spectra::ddmatter_transfer
    double * ddmatter_transfer
    Definition: spectra.h:261
    -
    spectra::index_tr_eta
    int index_tr_eta
    Definition: spectra.h:253
    -
    spectra::ddln_pk_cb
    double * ddln_pk_cb
    Definition: spectra.h:220
    -
    linear_or_logarithmic
    linear_or_logarithmic
    Definition: primordial.h:21
    -
    spectra::ln_pk_cb
    double * ln_pk_cb
    Definition: spectra.h:219
    -
    spectra::has_dl
    int has_dl
    Definition: spectra.h:66
    -
    spectra::index_tr_theta_scf
    int index_tr_theta_scf
    Definition: spectra.h:242
    -
    precision
    Definition: common.h:345
    -
    spectra::index_ct_tl
    int index_ct_tl
    Definition: spectra.h:79
    -
    primordial
    Definition: primordial.h:79
    -
    spectra_indices
    int spectra_indices(struct background *pba, struct perturbs *ppt, struct transfers *ptr, struct primordial *ppm, struct spectra *psp)
    Definition: spectra.c:1835
    -
    spectra::ln_tau_size
    int ln_tau_size
    Definition: spectra.h:149
    -
    spectra::has_bb
    int has_bb
    Definition: spectra.h:57
    -
    spectra::sigma8
    double sigma8
    Definition: spectra.h:186
    -
    spectra::alpha_RR_201_2500
    double alpha_RR_201_2500
    Definition: spectra.h:130
    -
    spectra::alpha_k2
    double alpha_k2
    Definition: spectra.h:138
    -
    spectra::ddln_pk_nl
    double * ddln_pk_nl
    Definition: spectra.h:217
    -
    spectra::index_tr_delta_tot
    int index_tr_delta_tot
    Definition: spectra.h:237
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    spectra::spectra_verbose
    short spectra_verbose
    Definition: spectra.h:273
    -
    spectra::index_tr_theta_g
    int index_tr_theta_g
    Definition: spectra.h:238
    -
    spectra_cl_at_l
    int spectra_cl_at_l(struct spectra *psp, double l, double *cl_tot, double **cl_md, double **cl_md_ic)
    Definition: spectra.c:97
    -
    -
    - - - - diff --git a/doc/manual/html/spectra_8h_structspectra.js b/doc/manual/html/spectra_8h_structspectra.js deleted file mode 100644 index 0e05d923..00000000 --- a/doc/manual/html/spectra_8h_structspectra.js +++ /dev/null @@ -1,112 +0,0 @@ -var spectra_8h_structspectra = -[ - [ "z_max_pk", "spectra_8h.html#a41d693f09f93f7d77ff9a441c9403f09", null ], - [ "non_diag", "spectra_8h.html#aa4ba8bb05804a9c367e7099a5aafac6f", null ], - [ "md_size", "spectra_8h.html#a7162896ffe54e04b025389a38f0b6e51", null ], - [ "index_md_scalars", "spectra_8h.html#a9e42c62fdd7493645498f58101be058b", null ], - [ "ic_size", "spectra_8h.html#a04fcaac0b981bae0578a589d7286a6a9", null ], - [ "ic_ic_size", "spectra_8h.html#a8e47432eaaa855acf8fa4b8c69839946", null ], - [ "is_non_zero", "spectra_8h.html#af016f91ebb5939fde93268ade735c4bb", null ], - [ "has_tt", "spectra_8h.html#a2a2bb15ccf3b757b45240163ab803c7c", null ], - [ "has_ee", "spectra_8h.html#a99c6dcf41a0eacbb4bf7d40b1f863c54", null ], - [ "has_te", "spectra_8h.html#ab904a91528ca41610646429d986a8801", null ], - [ "has_bb", "spectra_8h.html#a51a275b988dd0df83ba035baa81dfc25", null ], - [ "has_pp", "spectra_8h.html#a732653a2b76d2f306c002e54f763e787", null ], - [ "has_tp", "spectra_8h.html#a7edbc0f9007b4114cedb0db21dd77fee", null ], - [ "has_ep", "spectra_8h.html#a6f7d568e4cd0fe5af4eba76606990d21", null ], - [ "has_dd", "spectra_8h.html#afbc6c738740c33e18d3d303f5732f634", null ], - [ "has_td", "spectra_8h.html#af219b311ac4022c97f497bdfe892a5bb", null ], - [ "has_pd", "spectra_8h.html#a9b96d2d94c28fbfd619659bd694f16c2", null ], - [ "has_ll", "spectra_8h.html#abb71a55dda8d9af0d7ff16484511f748", null ], - [ "has_tl", "spectra_8h.html#a6de97e5e3d3949212fb99b6fb1b944f0", null ], - [ "has_dl", "spectra_8h.html#afe95d8f9c9ec3b8bc42d1cfcbc623617", null ], - [ "index_ct_tt", "spectra_8h.html#a4160542d7473d58a6bb0a170661d4b36", null ], - [ "index_ct_ee", "spectra_8h.html#aad1923de8e05ad8815149eb5e1c41722", null ], - [ "index_ct_te", "spectra_8h.html#a7ee0a2f4abb312842c2d4e41d41ed451", null ], - [ "index_ct_bb", "spectra_8h.html#a91f38cb182b179501e2883e887d8313c", null ], - [ "index_ct_pp", "spectra_8h.html#a2924e0891623e332b76561e1e206a6b4", null ], - [ "index_ct_tp", "spectra_8h.html#a762b191d61c440cbab702481db01c939", null ], - [ "index_ct_ep", "spectra_8h.html#a50dcb624d60d0cc2f3a9717331380067", null ], - [ "index_ct_dd", "spectra_8h.html#a751ded2cebb892fbfff4bc7047cd2ea2", null ], - [ "index_ct_td", "spectra_8h.html#a580bc800704dde768830741cecdb7c17", null ], - [ "index_ct_pd", "spectra_8h.html#ad4d6dd84ede70607ae84673a69fe06ef", null ], - [ "index_ct_ll", "spectra_8h.html#aa399283446043b9560df20f419e09555", null ], - [ "index_ct_tl", "spectra_8h.html#ad872e01a0e62577a346cd3ad10745bfb", null ], - [ "index_ct_dl", "spectra_8h.html#a75c775132532bded47ce1ca6bdd10638", null ], - [ "d_size", "spectra_8h.html#a85e7f6e1bc4fedf4b465f9253e39bc0e", null ], - [ "ct_size", "spectra_8h.html#aff6e3a254bd882214107e13a5b49aeec", null ], - [ "l_size", "spectra_8h.html#af914e728444df64b91bfd117a94d7b06", null ], - [ "l_size_max", "spectra_8h.html#abb17bea5d5b9ab86cc211e19d975790e", null ], - [ "l", "spectra_8h.html#abbeb989dda07d55b3122a402fc9a9d5a", null ], - [ "l_max_ct", "spectra_8h.html#a9604e37eb1b394c6fc7087b91c14411f", null ], - [ "l_max", "spectra_8h.html#a38d6d56c37aed30d482da7c195f92e3a", null ], - [ "l_max_tot", "spectra_8h.html#a58feb2fcd4d06d3801f0f452d00bf987", null ], - [ "cl", "spectra_8h.html#a69a6084de38d2cc86b9c2e25eb7cd1e9", null ], - [ "ddcl", "spectra_8h.html#a15869600b6b48f5b649294dab435f901", null ], - [ "alpha_II_2_20", "spectra_8h.html#a1f4f455ce01dbf67303d5b241d481486", null ], - [ "alpha_RI_2_20", "spectra_8h.html#ad5052944a7d98cf5c23ed39c89c441cd", null ], - [ "alpha_RR_2_20", "spectra_8h.html#aa467d70f560adcabbd0f589f40a242c8", null ], - [ "alpha_II_21_200", "spectra_8h.html#a39464a2bc81215af9b96b638c8bbdcdc", null ], - [ "alpha_RI_21_200", "spectra_8h.html#a8162e028bb6037b6a585c2822b7221b8", null ], - [ "alpha_RR_21_200", "spectra_8h.html#adfc8ae68109aa299e4141f0ab597d431", null ], - [ "alpha_II_201_2500", "spectra_8h.html#aa1ddedcb319bc95943715d815bf16f99", null ], - [ "alpha_RI_201_2500", "spectra_8h.html#a016a7253aa6c532a95b8cffec367694b", null ], - [ "alpha_RR_201_2500", "spectra_8h.html#ae415a068bcc1caa9820e9c214707fff2", null ], - [ "alpha_II_2_2500", "spectra_8h.html#aa4c9d3a59c59461531006a0860e67611", null ], - [ "alpha_RI_2_2500", "spectra_8h.html#afbf6ec0b5ac12efeaa2544b0726f24c1", null ], - [ "alpha_RR_2_2500", "spectra_8h.html#a82a56f7919678728f1a9b695deabc104", null ], - [ "alpha_kp", "spectra_8h.html#afabd0ffd8dcfeaf6291cf19ae90dabf7", null ], - [ "alpha_k1", "spectra_8h.html#abdf1df0f03ba826bf885214480cdb65f", null ], - [ "alpha_k2", "spectra_8h.html#a16521887ee890f6d502e30c2e98a363b", null ], - [ "ln_k_size", "spectra_8h.html#aba12c1edfe1407562fed0488f07d499e", null ], - [ "ln_k", "spectra_8h.html#a8d1366df83d9413ec408151c90643a9e", null ], - [ "ln_tau_size", "spectra_8h.html#a683b5edb0fc48b2c91bd0a2c963657f0", null ], - [ "ln_tau", "spectra_8h.html#a5f7d064aff5ca9c3aa2b99db6d3d8d64", null ], - [ "ln_pk", "spectra_8h.html#a658520d8cde6f2367dc6de37c6b5f069", null ], - [ "ddln_pk", "spectra_8h.html#a7ccfff6972618e81fac66595de4b8611", null ], - [ "sigma8", "spectra_8h.html#a6ee88df802d2cb48a003ade7adcb600a", null ], - [ "sigma8_cb", "spectra_8h.html#a061198a8d906bce9c36007567db6b30a", null ], - [ "ddln_pk_l", "spectra_8h.html#a371feb8b5ec10d495e05b81df054664d", null ], - [ "ln_tau_nl_size", "spectra_8h.html#aed0aa0a8c85c43cad6cf07664f664be8", null ], - [ "ln_tau_nl", "spectra_8h.html#aee71399f6b9835fbe3bb396634f69bee", null ], - [ "ln_pk_nl", "spectra_8h.html#a38c2aeac727751ecad8885c8df23586a", null ], - [ "ddln_pk_nl", "spectra_8h.html#a6783c1646f113d129dc37680bba3116a", null ], - [ "ln_pk_cb", "spectra_8h.html#a55da2c80f6c3948181df1b6c2065fc64", null ], - [ "ddln_pk_cb", "spectra_8h.html#a3eafe6f1a176487cb7ca3453e013fccc", null ], - [ "ln_pk_cb_l", "spectra_8h.html#a2efde47762e8fe37b3ac48ad3e81566b", null ], - [ "ddln_pk_cb_l", "spectra_8h.html#aad1321f83b0d65048029d28d13292403", null ], - [ "ln_pk_cb_nl", "spectra_8h.html#acf8c92999d79ae673698d04629b9cabe", null ], - [ "ddln_pk_cb_nl", "spectra_8h.html#a2e66e2a8471670ca82c66451aa5f474f", null ], - [ "index_tr_delta_g", "spectra_8h.html#ada527499c8c57e4f3f03ce677c215677", null ], - [ "index_tr_delta_b", "spectra_8h.html#a97577b7e46e9a9e03cdc063bc7dd3e3a", null ], - [ "index_tr_delta_cdm", "spectra_8h.html#a46514e00517bd409596a2c50617aed35", null ], - [ "index_tr_delta_dcdm", "spectra_8h.html#a613cb218a38f6bfb45b4532a4beefad9", null ], - [ "index_tr_delta_scf", "spectra_8h.html#a5de2fbacfddb3343acf34786da2383af", null ], - [ "index_tr_delta_fld", "spectra_8h.html#a7c8e3e44348d2bd690dbea7de30d0242", null ], - [ "index_tr_delta_ur", "spectra_8h.html#a381c450d391f1c494f68c5806135d0f4", null ], - [ "index_tr_delta_dr", "spectra_8h.html#ac51f80c850a0af1353d09d7eae5b156c", null ], - [ "index_tr_delta_ncdm1", "spectra_8h.html#ad1c8f5dcba56e8a7f5752a0dd1c49876", null ], - [ "index_tr_delta_tot", "spectra_8h.html#a0c534b60400e5ee5b12bd31b59557bfd", null ], - [ "index_tr_theta_g", "spectra_8h.html#a8e4c29b785dbc0c5c89fdc61fff647b2", null ], - [ "index_tr_theta_b", "spectra_8h.html#a28d055cef73a30afb742bb18dfcf3802", null ], - [ "index_tr_theta_cdm", "spectra_8h.html#ab10458250dcbda87fda2a439f5868b5e", null ], - [ "index_tr_theta_dcdm", "spectra_8h.html#ad8766ae4ec0027c881088b7aafa5c867", null ], - [ "index_tr_theta_scf", "spectra_8h.html#a6bf91ee144fcebf9e6f7c24f3275c072", null ], - [ "index_tr_theta_fld", "spectra_8h.html#ad1b97d92cbc190ccbf79f09e890b19e1", null ], - [ "index_tr_theta_ur", "spectra_8h.html#a68edc610171f4f21a45117efc0b4139a", null ], - [ "index_tr_theta_dr", "spectra_8h.html#a1226414958631d92602ba731b1838309", null ], - [ "index_tr_theta_ncdm1", "spectra_8h.html#aa608e9840f63f33ad426ccb61a988965", null ], - [ "index_tr_theta_tot", "spectra_8h.html#a1072e1cc5ec0bb055a144eb2db74984e", null ], - [ "index_tr_phi", "spectra_8h.html#a1783b7039f69ad5a28a394fc6a8ec949", null ], - [ "index_tr_psi", "spectra_8h.html#a46b43ca978e6dd81d25fbcd90cc0ad39", null ], - [ "index_tr_phi_prime", "spectra_8h.html#a841f5d8847a2734081565d1a05528cdc", null ], - [ "index_tr_h", "spectra_8h.html#a6081cde29dd45b2c48e36f24897a1562", null ], - [ "index_tr_h_prime", "spectra_8h.html#a14a2c54fa5966f8496bba128d22bba77", null ], - [ "index_tr_eta", "spectra_8h.html#ae6f46c9f310c2f0850bb8df1a9098a0f", null ], - [ "index_tr_eta_prime", "spectra_8h.html#ac5c7dce0fe26c8fc02b3470e5b1c1869", null ], - [ "tr_size", "spectra_8h.html#a3e50d934303e1c7ca8bd3b8aee98ba88", null ], - [ "matter_transfer", "spectra_8h.html#a196d78f8357b4db11abcac0cdf2f8bc8", null ], - [ "ddmatter_transfer", "spectra_8h.html#aeb346f3ee67d3cf0fd74353277e7a1b5", null ], - [ "spectra_verbose", "spectra_8h.html#a07770a4fe51e11746c3a9c94df6df939", null ], - [ "error_message", "spectra_8h.html#ad9a93e571d2c183e38474056234fc91b", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/splitbar.png b/doc/manual/html/splitbar.png deleted file mode 100644 index 4aa5e381..00000000 Binary files a/doc/manual/html/splitbar.png and /dev/null differ diff --git a/doc/manual/html/structnonlinear.html b/doc/manual/html/structnonlinear.html deleted file mode 100644 index 2e3d6ca5..00000000 --- a/doc/manual/html/structnonlinear.html +++ /dev/null @@ -1,548 +0,0 @@ - - - - - - - -CLASS MANUAL: nonlinear Struct Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    nonlinear Struct Reference
    -
    -
    - -

    #include <nonlinear.h>

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Data Fields

    - input parameters initialized by user in input module

    (all other quantitites are computed in this module, given these parameters and the content of the 'precision', 'background', 'thermo', 'primordial' and 'spectra' structures)

    -
    enum non_linear_method method
     
    - table non-linear corrections for matter density, sqrt(P_NL(k,z)/P_NL(k,z))
    short has_pk_m
     
    short has_pk_cb
     
    int index_pk_m
     
    int index_pk_cb
     
    int pk_size
     
    int k_size
     
    double * k
     
    int tau_size
     
    double * tau
     
    double ** nl_corr_density
     
    double ** k_nl
     
    int index_tau_min_nl
     
    double * nl_corr_density
     
    double * k_nl
     
    - parameters for the pk_eq method
    short has_pk_eq
     
    int index_pk_eq_w
     
    int index_pk_eq_Omega_m
     
    int pk_eq_size
     
    int pk_eq_tau_size
     
    double * pk_eq_tau
     
    double * pk_eq_w_and_Omega
     
    double * pk_eq_ddw_and_ddOmega
     
    - technical parameters
    short nonlinear_verbose
     
    ErrorMsg error_message
     
    -

    Detailed Description

    -

    Structure containing all information on non-linear spectra.

    -

    Once initialized by nonlinear_init(), contains a table for all two points correlation functions and for all the ai,bj functions (containing the three points correlation functions), for each time and wave-number.

    -

    Structure containing all information on non-linear spectra.

    -

    Once initialised by nonlinear_init(), contains a table for all two points correlation functions and for all the ai,bj functions (containing the three points correlation functions), for each time and wave-number.

    -

    Field Documentation

    - -

    ◆ method

    - -
    -
    - - - - -
    enum non_linear_method nonlinear::method
    -
    -

    method for computing non-linear corrections (none, Halogit, etc.)

    - -
    -
    - -

    ◆ has_pk_m

    - -
    -
    - - - - -
    short nonlinear::has_pk_m
    -
    -

    do we want nonlinear corrections for total matter?

    - -
    -
    - -

    ◆ has_pk_cb

    - -
    -
    - - - - -
    short nonlinear::has_pk_cb
    -
    -

    do we want nonlinear corrections for cdm+baryons?

    - -
    -
    - -

    ◆ index_pk_m

    - -
    -
    - - - - -
    int nonlinear::index_pk_m
    -
    -

    index of pk for matter

    - -
    -
    - -

    ◆ index_pk_cb

    - -
    -
    - - - - -
    int nonlinear::index_pk_cb
    -
    -

    index of pk for cold dark matter plus baryons

    - -
    -
    - -

    ◆ pk_size

    - -
    -
    - - - - -
    int nonlinear::pk_size
    -
    -

    k_size = total number of pk

    - -
    -
    - -

    ◆ k_size

    - -
    -
    - - - - -
    int nonlinear::k_size
    -
    -

    k_size = total number of k values

    - -
    -
    - -

    ◆ k

    - -
    -
    - - - - -
    double * nonlinear::k
    -
    -

    k[index_k] = list of k values

    - -
    -
    - -

    ◆ tau_size

    - -
    -
    - - - - -
    int nonlinear::tau_size
    -
    -

    tau_size = number of values

    - -
    -
    - -

    ◆ tau

    - -
    -
    - - - - -
    double * nonlinear::tau
    -
    -

    tau[index_tau] = list of time values

    - -
    -
    - -

    ◆ nl_corr_density [1/2]

    - -
    -
    - - - - -
    double * nonlinear::nl_corr_density
    -
    -

    nl_corr_density[index_pk][index_tau * ppt->k_size + index_k]

    -

    nl_corr_density[index_tau * ppt->k_size + index_k]

    - -
    -
    - -

    ◆ k_nl [1/2]

    - -
    -
    - - - - -
    double * nonlinear::k_nl
    -
    -

    wavenumber at which non-linear corrections become important, defined differently by different non_linear_method's

    - -
    -
    - -

    ◆ index_tau_min_nl

    - -
    -
    - - - - -
    int nonlinear::index_tau_min_nl
    -
    -

    index of smallest value of tau at which nonlinear corrections have been computed (so, for tau<tau_min_nl, the array nl_corr_density only contains some factors 1

    - -
    -
    - -

    ◆ has_pk_eq

    - -
    -
    - - - - -
    short nonlinear::has_pk_eq
    -
    -

    flag: will we use the pk_eq method?

    - -
    -
    - -

    ◆ index_pk_eq_w

    - -
    -
    - - - - -
    int nonlinear::index_pk_eq_w
    -
    -

    index of w in table pk_eq_w_and_Omega

    - -
    -
    - -

    ◆ index_pk_eq_Omega_m

    - -
    -
    - - - - -
    int nonlinear::index_pk_eq_Omega_m
    -
    -

    index of Omega_m in table pk_eq_w_and_Omega

    - -
    -
    - -

    ◆ pk_eq_size

    - -
    -
    - - - - -
    int nonlinear::pk_eq_size
    -
    -

    number of indices in table pk_eq_w_and_Omega

    - -
    -
    - -

    ◆ pk_eq_tau_size

    - -
    -
    - - - - -
    int nonlinear::pk_eq_tau_size
    -
    -

    number of times (and raws in table pk_eq_w_and_Omega)

    - -
    -
    - -

    ◆ pk_eq_tau

    - -
    -
    - - - - -
    double* nonlinear::pk_eq_tau
    -
    -

    table of time values

    - -
    -
    - -

    ◆ pk_eq_w_and_Omega

    - -
    -
    - - - - -
    double* nonlinear::pk_eq_w_and_Omega
    -
    -

    table of background quantites

    - -
    -
    - -

    ◆ pk_eq_ddw_and_ddOmega

    - -
    -
    - - - - -
    double* nonlinear::pk_eq_ddw_and_ddOmega
    -
    -

    table of second derivatives

    - -
    -
    - -

    ◆ nonlinear_verbose

    - -
    -
    - - - - -
    short nonlinear::nonlinear_verbose
    -
    -

    amount of information written in standard output

    - -
    -
    - -

    ◆ error_message

    - -
    -
    - - - - -
    ErrorMsg nonlinear::error_message
    -
    -

    zone for writing error messages

    - -
    -
    - -

    ◆ nl_corr_density [2/2]

    - -
    -
    - - - - -
    double* nonlinear::nl_corr_density
    -
    -

    nl_corr_density[index_tau * ppt->k_size + index_k]

    - -
    -
    - -

    ◆ k_nl [2/2]

    - -
    -
    - - - - -
    double* nonlinear::k_nl
    -
    -

    wavenumber at which non-linear corrections become important, defined differently by different non_linear_method's

    - -
    -
    -
    The documentation for this struct was generated from the following files: -
    -
    - - - - diff --git a/doc/manual/html/structnonlinear.js b/doc/manual/html/structnonlinear.js deleted file mode 100644 index 3bb43652..00000000 --- a/doc/manual/html/structnonlinear.js +++ /dev/null @@ -1,28 +0,0 @@ -var structnonlinear = -[ - [ "method", "structnonlinear.html#aa5256a476f6fa766b8977272715be21a", null ], - [ "has_pk_m", "structnonlinear.html#a187aed56225caf3f06e51f4eb9e6e62a", null ], - [ "has_pk_cb", "structnonlinear.html#a545a784bf86e6304be4e2cf3f71e0a40", null ], - [ "index_pk_m", "structnonlinear.html#a83116d2c8e45607d4b65bc4f627195ab", null ], - [ "index_pk_cb", "structnonlinear.html#ab71f6984b0a86b82ce4bab5d78470461", null ], - [ "pk_size", "structnonlinear.html#ad1989b77431ef92f23f2f291109191a6", null ], - [ "k_size", "structnonlinear.html#a5337c7a8ffea7bb7f178d6bad11b5622", null ], - [ "k", "structnonlinear.html#a6d371ac0fc8dfdef575a5751afd44565", null ], - [ "tau_size", "structnonlinear.html#a65b7e2e5ec57b04277e3797c6953e6ba", null ], - [ "tau", "structnonlinear.html#a58f60e148801438e7291a5ca86dbf088", null ], - [ "nl_corr_density", "structnonlinear.html#a774d3d64ba57a3441c012096f1af7147", null ], - [ "k_nl", "structnonlinear.html#a0cf43f23da9a66bad019e2cdc8c7128e", null ], - [ "index_tau_min_nl", "structnonlinear.html#a7820721d8a03b7a23525c9f2ffc64ea0", null ], - [ "has_pk_eq", "structnonlinear.html#ae559a841b4adf1affba72a9ee7aa6bb1", null ], - [ "index_pk_eq_w", "structnonlinear.html#a5c720896659696f417d34605693c1e58", null ], - [ "index_pk_eq_Omega_m", "structnonlinear.html#ac66d364d9298f36b1484a0a15ea4873d", null ], - [ "pk_eq_size", "structnonlinear.html#ac75dd441d317ae820442c292ee07cf5c", null ], - [ "pk_eq_tau_size", "structnonlinear.html#ac4dca0626fe3ba4625d38e6471d394ad", null ], - [ "pk_eq_tau", "structnonlinear.html#a800f77dc54958d78cd2217e580dbaa12", null ], - [ "pk_eq_w_and_Omega", "structnonlinear.html#a3789820291a5e3bed24b5ab532f6c2c1", null ], - [ "pk_eq_ddw_and_ddOmega", "structnonlinear.html#a9829e53eed43354d6eadd1b4a1a50ca8", null ], - [ "nonlinear_verbose", "structnonlinear.html#a793810d8ed0e8a951293d0d4b1475c46", null ], - [ "error_message", "structnonlinear.html#aea8dcc26882acb6c85a66e1aabcbc6c9", null ], - [ "nl_corr_density", "structnonlinear.html#a488af6d3cc6c44d56fd8cfdf38d4d75b", null ], - [ "k_nl", "structnonlinear.html#afb3529188cde54269e8faeb411f323d4", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/svgpan.js b/doc/manual/html/svgpan.js deleted file mode 100644 index db9fcb97..00000000 --- a/doc/manual/html/svgpan.js +++ /dev/null @@ -1,323 +0,0 @@ -/** - * The code below is based on SVGPan Library 1.2 and was modified for doxygen - * to support both zooming and panning via the mouse and via embedded bottons. - * - * This code is licensed under the following BSD license: - * - * Copyright 2009-2010 Andrea Leofreddi . All rights reserved. - * - * Redistribution and use in source and binary forms, with or without modification, are - * permitted provided that the following conditions are met: - * - * 1. Redistributions of source code must retain the above copyright notice, this list of - * conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright notice, this list - * of conditions and the following disclaimer in the documentation and/or other materials - * provided with the distribution. - * - * THIS SOFTWARE IS PROVIDED BY Andrea Leofreddi ``AS IS'' AND ANY EXPRESS OR IMPLIED - * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND - * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL Andrea Leofreddi OR - * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR - * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR - * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON - * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING - * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF - * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - * - * The views and conclusions contained in the software and documentation are those of the - * authors and should not be interpreted as representing official policies, either expressed - * or implied, of Andrea Leofreddi. - */ - -var root = document.documentElement; -var state = 'none'; -var stateOrigin; -var stateTf = root.createSVGMatrix(); -var cursorGrab = ' url("data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAOCAMAAAAolt3jAAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAAlQTFRFAAAA////////c3ilYwAAAAN0Uk5T//8A18oNQQAAAD1JREFUeNp0zlEKACAIA9Bt9z90bZBZkQj29qFBEuBOzQHSnWTTyckEfqUuZgFvslH4ch3qLCO/Kr8cAgwATw4Ax6XRCcoAAAAASUVORK5CYII="), move'; -var zoomSteps = 10; -var zoomInFactor; -var zoomOutFactor; -var windowWidth; -var windowHeight; -var svgDoc; -var minZoom; -var maxZoom; -if (!window) window=this; - -/** - * Show the graph in the middle of the view, scaled to fit - */ -function show() -{ - if (window.innerHeight) // Firefox - { - windowWidth = window.innerWidth; - windowHeight = window.innerHeight; - } - else if (document.documentElement.clientWidth) // Chrome/Safari - { - windowWidth = document.documentElement.clientWidth - windowHeight = document.documentElement.clientHeight - } - if (!windowWidth || !windowHeight) // failsafe - { - windowWidth = 800; - windowHeight = 600; - } - minZoom = Math.min(Math.min(viewHeight,windowHeight)/viewHeight,Math.min(viewWidth,windowWidth)/viewWidth); - maxZoom = minZoom+1.5; - zoomInFactor = Math.pow(maxZoom/minZoom,1.0/zoomSteps); - zoomOutFactor = 1.0/zoomInFactor; - - var g = svgDoc.getElementById('viewport'); - try - { - var bb = g.getBBox(); // this can throw an exception if css { display: none } - var tx = (windowWidth-viewWidth*minZoom+8)/(2*minZoom); - var ty = viewHeight+(windowHeight-viewHeight*minZoom)/(2*minZoom); - var a = 'scale('+minZoom+') rotate(0) translate('+tx+' '+ty+')'; - g.setAttribute('transform',a); - } - catch(e) {} -} - -/** - * Register handlers - */ -function init(evt) -{ - svgDoc = evt.target.ownerDocument; - try { - if (top.window && top.window.registerShow) { // register show function in html doc for dynamic sections - top.window.registerShow(sectionId,show); - } - } catch(e) { - // ugh, we are not allowed to talk to the parent; can happen with Chrome when viewing pages - // locally, since they treat every local page as having a different origin - } - show(); - - setAttributes(root, { - "onmousedown" : "handleMouseDown(evt)", - "onmousemove" : "handleMouseMove(evt)", - "onmouseup" : "handleMouseUp(evt)" - }); - - if (window.addEventListener) - { - if (navigator.userAgent.toLowerCase().indexOf('webkit') >= 0 || - navigator.userAgent.toLowerCase().indexOf("opera") >= 0 || - navigator.appVersion.indexOf("MSIE") != -1) - { - window.addEventListener('mousewheel', handleMouseWheel, false); // Chrome/Safari/IE9 - } - else - { - window.addEventListener('DOMMouseScroll', handleMouseWheel, false); // Others - } - } -} - -window.onresize=function() -{ - if (svgDoc) { show(); } -} - -/** - * Instance an SVGPoint object with given event coordinates. - */ -function getEventPoint(evt) -{ - var p = root.createSVGPoint(); - p.x = evt.clientX; - p.y = evt.clientY; - return p; -} - -/** - * Sets the current transform matrix of an element. - */ -function setCTM(element, matrix) -{ - var s = "matrix(" + matrix.a + "," + matrix.b + "," + matrix.c + "," + matrix.d + "," + matrix.e + "," + matrix.f + ")"; - element.setAttribute("transform", s); -} - -/** - * Sets attributes of an element. - */ -function setAttributes(element, attributes) -{ - for (i in attributes) - element.setAttributeNS(null, i, attributes[i]); -} - -function doZoom(g,point,zoomFactor) -{ - var p = point.matrixTransform(g.getCTM().inverse()); - var k = root.createSVGMatrix().translate(p.x, p.y).scale(zoomFactor).translate(-p.x, -p.y); - var n = g.getCTM().multiply(k); - var s = Math.max(n.a,n.d); - if (s>maxZoom) n=n.translate(p.x,p.y).scale(maxZoom/s).translate(-p.x,-p.y); - else if (s'); - d.write('Print SVG'); - d.write(''); - d.write('
    '+xs+'
    '); - d.write(''); - d.write(''); - d.close(); - } catch(e) { - alert('Failed to open popup window needed for printing!\n'+e.message); - } -} - - - - diff --git a/doc/manual/html/svnversion_8h_source.html b/doc/manual/html/svnversion_8h_source.html deleted file mode 100644 index 49beb4e4..00000000 --- a/doc/manual/html/svnversion_8h_source.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - -CLASS MANUAL: svnversion.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    svnversion.h
    -
    -
    -
    1 #define _SVN_VERSION_ "6142M"
    -
    - - - - diff --git a/doc/manual/html/sync_off.png b/doc/manual/html/sync_off.png deleted file mode 100644 index b4e2f1ad..00000000 Binary files a/doc/manual/html/sync_off.png and /dev/null differ diff --git a/doc/manual/html/sync_on.png b/doc/manual/html/sync_on.png deleted file mode 100644 index c1be2d8b..00000000 Binary files a/doc/manual/html/sync_on.png and /dev/null differ diff --git a/doc/manual/html/tab_a.png b/doc/manual/html/tab_a.png deleted file mode 100644 index 7011ad74..00000000 Binary files a/doc/manual/html/tab_a.png and /dev/null differ diff --git a/doc/manual/html/tab_b.png b/doc/manual/html/tab_b.png deleted file mode 100644 index 54b1e9ce..00000000 Binary files a/doc/manual/html/tab_b.png and /dev/null differ diff --git a/doc/manual/html/tab_h.png b/doc/manual/html/tab_h.png deleted file mode 100644 index 2214e5b9..00000000 Binary files a/doc/manual/html/tab_h.png and /dev/null differ diff --git a/doc/manual/html/tab_s.png b/doc/manual/html/tab_s.png deleted file mode 100644 index 83681ff6..00000000 Binary files a/doc/manual/html/tab_s.png and /dev/null differ diff --git a/doc/manual/html/tabs.css b/doc/manual/html/tabs.css deleted file mode 100644 index a28614b8..00000000 --- a/doc/manual/html/tabs.css +++ /dev/null @@ -1 +0,0 @@ -.sm{position:relative;z-index:9999}.sm,.sm ul,.sm li{display:block;list-style:none;margin:0;padding:0;line-height:normal;direction:ltr;text-align:left;-webkit-tap-highlight-color:rgba(0,0,0,0)}.sm-rtl,.sm-rtl ul,.sm-rtl li{direction:rtl;text-align:right}.sm>li>h1,.sm>li>h2,.sm>li>h3,.sm>li>h4,.sm>li>h5,.sm>li>h6{margin:0;padding:0}.sm ul{display:none}.sm li,.sm a{position:relative}.sm a{display:block}.sm a.disabled{cursor:not-allowed}.sm:after{content:"\00a0";display:block;height:0;font:0/0 serif;clear:both;visibility:hidden;overflow:hidden}.sm,.sm *,.sm *:before,.sm *:after{-moz-box-sizing:border-box;-webkit-box-sizing:border-box;box-sizing:border-box}#doc-content{overflow:auto;display:block;padding:0;margin:0;-webkit-overflow-scrolling:touch}.sm-dox{background-image:url("tab_b.png")}.sm-dox a,.sm-dox a:focus,.sm-dox a:hover,.sm-dox a:active{padding:0 12px;padding-right:43px;font-family:"Lucida Grande","Geneva","Helvetica",Arial,sans-serif;font-size:13px;font-weight:bold;line-height:36px;text-decoration:none;text-shadow:0 1px 1px rgba(255,255,255,0.9);color:#283a5d;outline:0}.sm-dox a:hover{background-image:url("tab_a.png");background-repeat:repeat-x;color:white;text-shadow:0 1px 1px black}.sm-dox a.current{color:#d23600}.sm-dox a.disabled{color:#bbb}.sm-dox a span.sub-arrow{position:absolute;top:50%;margin-top:-14px;left:auto;right:3px;width:28px;height:28px;overflow:hidden;font:bold 12px/28px monospace!important;text-align:center;text-shadow:none;background:rgba(255,255,255,0.5);-moz-border-radius:5px;-webkit-border-radius:5px;border-radius:5px}.sm-dox a.highlighted span.sub-arrow:before{display:block;content:'-'}.sm-dox>li:first-child>a,.sm-dox>li:first-child>:not(ul) a{-moz-border-radius:5px 5px 0 0;-webkit-border-radius:5px;border-radius:5px 5px 0 0}.sm-dox>li:last-child>a,.sm-dox>li:last-child>*:not(ul) a,.sm-dox>li:last-child>ul,.sm-dox>li:last-child>ul>li:last-child>a,.sm-dox>li:last-child>ul>li:last-child>*:not(ul) a,.sm-dox>li:last-child>ul>li:last-child>ul,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul{-moz-border-radius:0 0 5px 5px;-webkit-border-radius:0;border-radius:0 0 5px 5px}.sm-dox>li:last-child>a.highlighted,.sm-dox>li:last-child>*:not(ul) a.highlighted,.sm-dox>li:last-child>ul>li:last-child>a.highlighted,.sm-dox>li:last-child>ul>li:last-child>*:not(ul) a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>a.highlighted,.sm-dox>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>ul>li:last-child>*:not(ul) a.highlighted{-moz-border-radius:0;-webkit-border-radius:0;border-radius:0}.sm-dox ul{background:rgba(162,162,162,0.1)}.sm-dox ul a,.sm-dox ul a:focus,.sm-dox ul a:hover,.sm-dox ul a:active{font-size:12px;border-left:8px solid transparent;line-height:36px;text-shadow:none;background-color:white;background-image:none}.sm-dox ul a:hover{background-image:url("tab_a.png");background-repeat:repeat-x;color:white;text-shadow:0 1px 1px black}.sm-dox ul ul a,.sm-dox ul ul a:hover,.sm-dox ul ul a:focus,.sm-dox ul ul a:active{border-left:16px solid transparent}.sm-dox ul ul ul a,.sm-dox ul ul ul a:hover,.sm-dox ul ul ul a:focus,.sm-dox ul ul ul a:active{border-left:24px solid transparent}.sm-dox ul ul ul ul a,.sm-dox ul ul ul ul a:hover,.sm-dox ul ul ul ul a:focus,.sm-dox ul ul ul ul a:active{border-left:32px solid transparent}.sm-dox ul ul ul ul ul a,.sm-dox ul ul ul ul ul a:hover,.sm-dox ul ul ul ul ul a:focus,.sm-dox ul ul ul ul ul a:active{border-left:40px solid transparent}@media(min-width:768px){.sm-dox ul{position:absolute;width:12em}.sm-dox li{float:left}.sm-dox.sm-rtl li{float:right}.sm-dox ul li,.sm-dox.sm-rtl ul li,.sm-dox.sm-vertical li{float:none}.sm-dox a{white-space:nowrap}.sm-dox ul a,.sm-dox.sm-vertical a{white-space:normal}.sm-dox .sm-nowrap>li>a,.sm-dox .sm-nowrap>li>:not(ul) a{white-space:nowrap}.sm-dox{padding:0 10px;background-image:url("tab_b.png");line-height:36px}.sm-dox a span.sub-arrow{top:50%;margin-top:-2px;right:12px;width:0;height:0;border-width:4px;border-style:solid dashed dashed dashed;border-color:#283a5d transparent transparent transparent;background:transparent;-moz-border-radius:0;-webkit-border-radius:0;border-radius:0}.sm-dox a,.sm-dox a:focus,.sm-dox a:active,.sm-dox a:hover,.sm-dox a.highlighted{padding:0 12px;background-image:url("tab_s.png");background-repeat:no-repeat;background-position:right;-moz-border-radius:0!important;-webkit-border-radius:0;border-radius:0!important}.sm-dox a:hover{background-image:url("tab_a.png");background-repeat:repeat-x;color:white;text-shadow:0 1px 1px black}.sm-dox a:hover span.sub-arrow{border-color:white transparent transparent transparent}.sm-dox a.has-submenu{padding-right:24px}.sm-dox li{border-top:0}.sm-dox>li>ul:before,.sm-dox>li>ul:after{content:'';position:absolute;top:-18px;left:30px;width:0;height:0;overflow:hidden;border-width:9px;border-style:dashed dashed solid dashed;border-color:transparent transparent #bbb transparent}.sm-dox>li>ul:after{top:-16px;left:31px;border-width:8px;border-color:transparent transparent #fff transparent}.sm-dox ul{border:1px solid #bbb;padding:5px 0;background:#fff;-moz-border-radius:5px!important;-webkit-border-radius:5px;border-radius:5px!important;-moz-box-shadow:0 5px 9px rgba(0,0,0,0.2);-webkit-box-shadow:0 5px 9px rgba(0,0,0,0.2);box-shadow:0 5px 9px rgba(0,0,0,0.2)}.sm-dox ul a span.sub-arrow{right:8px;top:50%;margin-top:-5px;border-width:5px;border-color:transparent transparent transparent #555;border-style:dashed dashed dashed solid}.sm-dox ul a,.sm-dox ul a:hover,.sm-dox ul a:focus,.sm-dox ul a:active,.sm-dox ul a.highlighted{color:#555;background-image:none;border:0!important;color:#555;background-image:none}.sm-dox ul a:hover{background-image:url("tab_a.png");background-repeat:repeat-x;color:white;text-shadow:0 1px 1px black}.sm-dox ul a:hover span.sub-arrow{border-color:transparent transparent transparent white}.sm-dox span.scroll-up,.sm-dox span.scroll-down{position:absolute;display:none;visibility:hidden;overflow:hidden;background:#fff;height:36px}.sm-dox span.scroll-up:hover,.sm-dox span.scroll-down:hover{background:#eee}.sm-dox span.scroll-up:hover span.scroll-up-arrow,.sm-dox span.scroll-up:hover span.scroll-down-arrow{border-color:transparent transparent #d23600 transparent}.sm-dox span.scroll-down:hover span.scroll-down-arrow{border-color:#d23600 transparent transparent transparent}.sm-dox span.scroll-up-arrow,.sm-dox span.scroll-down-arrow{position:absolute;top:0;left:50%;margin-left:-6px;width:0;height:0;overflow:hidden;border-width:6px;border-style:dashed dashed solid dashed;border-color:transparent transparent #555 transparent}.sm-dox span.scroll-down-arrow{top:8px;border-style:solid dashed dashed dashed;border-color:#555 transparent transparent transparent}.sm-dox.sm-rtl a.has-submenu{padding-right:12px;padding-left:24px}.sm-dox.sm-rtl a span.sub-arrow{right:auto;left:12px}.sm-dox.sm-rtl.sm-vertical a.has-submenu{padding:10px 20px}.sm-dox.sm-rtl.sm-vertical a span.sub-arrow{right:auto;left:8px;border-style:dashed solid dashed dashed;border-color:transparent #555 transparent transparent}.sm-dox.sm-rtl>li>ul:before{left:auto;right:30px}.sm-dox.sm-rtl>li>ul:after{left:auto;right:31px}.sm-dox.sm-rtl ul a.has-submenu{padding:10px 20px!important}.sm-dox.sm-rtl ul a span.sub-arrow{right:auto;left:8px;border-style:dashed solid dashed dashed;border-color:transparent #555 transparent transparent}.sm-dox.sm-vertical{padding:10px 0;-moz-border-radius:5px;-webkit-border-radius:5px;border-radius:5px}.sm-dox.sm-vertical a{padding:10px 20px}.sm-dox.sm-vertical a:hover,.sm-dox.sm-vertical a:focus,.sm-dox.sm-vertical a:active,.sm-dox.sm-vertical a.highlighted{background:#fff}.sm-dox.sm-vertical a.disabled{background-image:url("tab_b.png")}.sm-dox.sm-vertical a span.sub-arrow{right:8px;top:50%;margin-top:-5px;border-width:5px;border-style:dashed dashed dashed solid;border-color:transparent transparent transparent #555}.sm-dox.sm-vertical>li>ul:before,.sm-dox.sm-vertical>li>ul:after{display:none}.sm-dox.sm-vertical ul a{padding:10px 20px}.sm-dox.sm-vertical ul a:hover,.sm-dox.sm-vertical ul a:focus,.sm-dox.sm-vertical ul a:active,.sm-dox.sm-vertical ul a.highlighted{background:#eee}.sm-dox.sm-vertical ul a.disabled{background:#fff}} \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c.html b/doc/manual/html/thermodynamics_8c.html deleted file mode 100644 index 3290daf3..00000000 --- a/doc/manual/html/thermodynamics_8c.html +++ /dev/null @@ -1,1255 +0,0 @@ - - - - - - - -CLASS MANUAL: thermodynamics.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    thermodynamics.c File Reference
    -
    -
    -
    #include "thermodynamics.h"
    -#include "hyrec.h"
    -
    - + Include dependency graph for thermodynamics.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int thermodynamics_at_z (struct background *pba, struct thermo *pth, double z, short inter_mode, int *last_index, double *pvecback, double *pvecthermo)
     
    int thermodynamics_init (struct precision *ppr, struct background *pba, struct thermo *pth)
     
    int thermodynamics_free (struct thermo *pth)
     
    int thermodynamics_indices (struct thermo *pth, struct recombination *preco, struct reionization *preio)
     
    int thermodynamics_helium_from_bbn (struct precision *ppr, struct background *pba, struct thermo *pth)
     
    int thermodynamics_onthespot_energy_injection (struct precision *ppr, struct background *pba, struct recombination *preco, double z, double *energy_rate, ErrorMsg error_message)
     
    int thermodynamics_energy_injection (struct precision *ppr, struct background *pba, struct recombination *preco, double z, double *energy_rate, ErrorMsg error_message)
     
    int thermodynamics_reionization_function (double z, struct thermo *pth, struct reionization *preio, double *xe)
     
    int thermodynamics_get_xe_before_reionization (struct precision *ppr, struct thermo *pth, struct recombination *preco, double z, double *xe)
     
    int thermodynamics_reionization (struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, struct reionization *preio, double *pvecback)
     
    int thermodynamics_reionization_sample (struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, struct reionization *preio, double *pvecback)
     
    int thermodynamics_recombination (struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
     
    int thermodynamics_recombination_with_hyrec (struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
     
    int thermodynamics_recombination_with_recfast (struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
     
    int thermodynamics_derivs_with_recfast (double z, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
     
    int thermodynamics_merge_reco_and_reio (struct precision *ppr, struct thermo *pth, struct recombination *preco, struct reionization *preio)
     
    int thermodynamics_output_titles (struct background *pba, struct thermo *pth, char titles[_MAXTITLESTRINGLENGTH_])
     
    -

    Detailed Description

    -

    Documented thermodynamics module

    -

    Julien Lesgourgues, 6.09.2010

    -

    Deals with the thermodynamical evolution. This module has two purposes:

    -
      -
    • at the beginning, to initialize the thermodynamics, i.e. to integrate the thermodynamical equations, and store all thermodynamical quantities as a function of redshift inside an interpolation table. The current version of recombination is based on RECFAST v1.5. The current version of reionization is based on exactly the same reionization function as in CAMB, in order to make allow for comparison. It should be easy to generalize the module to more complicated reionization histories.
      • -
    • to provide a routine which allow other modules to evaluate any thermodynamical quantities at a given redshift value (by interpolating within the interpolation table).
      • -
    -

    The logic is the following:

    -
      -
    • in a first step, the code assumes that there is no reionization, and computes the ionization fraction, Thomson scattering rate, baryon temperature, etc., using RECFAST. The result is stored in a temporary table 'recombination_table' (within a temporary structure of type 'recombination') for each redshift in a range 0 < z < z_initial. The sampling in z space is done with a simple linear step size.
      • -
    • in a second step, the code adds the reionization history, starting from a redshift z_reio_start. The ionization fraction at this redshift is read in the previous recombination table in order to ensure a perfect matching. The code computes the ionization fraction, Thomson scattering rate, baryon temperature, etc., using a given parametrization of the reionization history. The result is stored in a temporary table 'reionization_table' (within a temporary structure of type 'reionization') for each redshift in the range 0 < z < z_reio_start. The sampling in z space is found automatically, given the precision parameter 'reionization_sampling'.
      • -
    • in a third step, the code merges the two tables 'recombination_table' and 'reionization_table' inside the table 'thermodynamics_table', and the temporary structures 'recombination' and 'reionization' are freed. In 'thermodynamics_table', the sampling in z space is the one defined in the recombination algorithm for z_reio_start < z < z_initial, and the one defined in the reionization algorithm for 0 < z < z_reio_start.
      • -
    • at this stage, only a few columns in the table 'thermodynamics_table' have been filled. In a fourth step, the remaining columns are filled, using some numerical integration/derivation routines from the 'array.c' tools module.
      • -
    • small detail: one of the columns contains the maximum variation rate of a few relevant thermodynamical quantities. This rate will be used for defining automatically the sampling step size in the perturbation module. Hence, the exact value of this rate is unimportant, but its order of magnitude at a given z defines the sampling precision of the perturbation module. Hence, it is harmless to use a smoothing routine in order to make this rate look nicer, although this will not affect the final result significantly. The last step in the thermodynamics_init module is to perform this smoothing.
      • -
    -

    In summary, the following functions can be called from other modules:

    -
      -
    1. thermodynamics_init() at the beginning (but after background_init())
      2. -
    2. thermodynamics_at_z() at any later time
      3. -
    3. thermodynamics_free() at the end, when no more calls to thermodynamics_at_z() are needed
      4. -
    -

    Function Documentation

    - -

    ◆ thermodynamics_at_z()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_at_z (struct background * pba,
    struct thermo * pth,
    double z,
    short inter_mode,
    int * last_index,
    double * pvecback,
    double * pvecthermo 
    )
    -
    -

    Thermodynamics quantities at given redshift z.

    -

    Evaluates all thermodynamics quantities at a given value of the redshift by reading the pre-computed table and interpolating.

    -
    Parameters
    - - - - - - - - -
    pbaInput: pointer to background structure
    pthInput: pointer to the thermodynamics structure (containing pre-computed table)
    zInput: redshift
    inter_modeInput: interpolation mode (normal or growing_closeby)
    last_indexInput/Output: index of the previous/current point in the interpolation array (input only for closeby mode, output for both)
    pvecbackInput: vector of background quantities (used only in case z>z_initial for getting ddkappa and dddkappa; in that case, should be already allocated and filled, with format short_info or larger; in other cases, will be ignored)
    pvecthermoOutput: vector of thermodynamics quantities (assumed to be already allocated)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • interpolate in table with array_interpolate_spline() (normal mode) or array_interpolate_spline_growing_closeby() (closeby mode)
      • -
    - -
    -
    - -

    ◆ thermodynamics_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth 
    )
    -
    -

    Initialize the thermo structure, and in particular the thermodynamics interpolation table.

    -
    Parameters
    - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput/Output: pointer to initialized thermo structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • initialize pointers, allocate background vector
      • -
    • compute and check primordial Helium fraction
      • -
    • check energy injection parameters
      • -
    • assign values to all indices in the structures with thermodynamics_indices()
      • -
    • solve recombination and store values of $ z, x_e, d \kappa / d \tau, T_b, c_b^2 $ with thermodynamics_recombination()
      • -
    • if there is reionization, solve reionization and store values of $ z, x_e, d \kappa / d \tau, T_b, c_b^2 $ with thermodynamics_reionization()
      • -
    • merge tables in recombination and reionization structures into a single table in thermo structure
      • -
    • compute table of corresponding conformal times
      • -
    • store initial value of conformal time in the structure
      • -
    • fill missing columns (quantities not computed previously but related)
      • -
    • –> baryon drag interaction rate time minus one, -[1/R * kappa'], with R = 3 rho_b / 4 rho_gamma, stored temporarily in column ddkappa
      • -
    • –> second derivative of this rate, -[1/R * kappa']'', stored temporarily in column dddkappa
      • -
    • –> compute tau_d = [int_{tau_today}^{tau} dtau -dkappa_d/dtau]
      • -
    • –> compute r_d = 2pi/k_d = 2pi * [int_{tau_ini}^{tau} dtau (1/kappa') (R^2+4/5(1+R))/(1+R^2)/6 ]^1/2 (see e.g. Wayne Hu's thesis eq. (5.59)
      • -
    • –> second derivative with respect to tau of dkappa (in view of spline interpolation)
      • -
    • –> first derivative with respect to tau of dkappa (using spline interpolation)
      • -
    • –> compute -kappa = [int_{tau_today}^{tau} dtau dkappa/dtau], store temporarily in column "g"
      • -
    • –> derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested)
      • -
    • —> second derivative with respect to tau of cb2
      • -
    • —> first derivative with respect to tau of cb2 (using spline interpolation)
      • -
    • –> compute visibility: $ g= (d \kappa/d \tau) e^{- \kappa} $
      • -
    • —> compute g
      • -
    • —> compute exp(-kappa)
      • -
    • —> compute g' (the plus sign of the second term is correct, see def of -kappa in thermodynamics module!)
      • -
    • —> compute g''
      • -
    • —> store g
      • -
    • —> compute variation rate
      • -
    • smooth the rate (details of smoothing unimportant: only the order of magnitude of the rate matters)
      • -
    • fill tables of second derivatives with respect to z (in view of spline interpolation)
      • -
    • find maximum of g
      • -
    • find conformal recombination time using background_tau_of_z()
      • -
    • find damping scale at recombination (using linear interpolation)
      • -
    • find time (always after recombination) at which tau_c/tau falls below some threshold, defining tau_free_streaming
      • -
    • find baryon drag time (when tau_d crosses one, using linear interpolation) and sound horizon at that time
      • -
    • find time above which visibility falls below a given fraction of its maximum
      • -
    • if verbose flag set to next-to-minimum value, print the main results
      • -
    - -
    -
    - -

    ◆ thermodynamics_free()

    - -
    -
    - - - - - - - - -
    int thermodynamics_free (struct thermo * pth)
    -
    -

    Free all memory space allocated by thermodynamics_init().

    -
    Parameters
    - - -
    pthInput/Output: pointer to thermo structure (to be freed)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ thermodynamics_indices()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_indices (struct thermo * pth,
    struct recombination * preco,
    struct reionization * preio 
    )
    -
    -

    Assign value to each relevant index in vectors of thermodynamical quantities, as well as in vector containing reionization parameters.

    -
    Parameters
    - - - - -
    pthInput/Output: pointer to thermo structure
    precoInput/Output: pointer to recombination structure
    preioInput/Output: pointer to reionization structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • initialization of all indices and flags in thermo structure
      • -
    • initialization of all indices and flags in recombination structure
      • -
    • initialization of all indices and flags in reionization structure
      • -
    • same with parameters of the function $ X_e(z)$
      • -
    - -
    -
    - -

    ◆ thermodynamics_helium_from_bbn()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_helium_from_bbn (struct precision * ppr,
    struct background * pba,
    struct thermo * pth 
    )
    -
    -

    Infer the primordial helium fraction from standard BBN, as a function of the baryon density and expansion rate during BBN.

    -

    This module is simpler then the one used in arXiv:0712.2826 because it neglects the impact of a possible significant chemical potentials for electron neutrinos. The full code with xi_nu_e could be introduced here later.

    -
    Parameters
    - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput/Output: pointer to initialized thermo structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • Infer effective number of neutrinos at the time of BBN
      • -
    • 8.6173e-11 converts from Kelvin to MeV. We randomly choose 0.1 MeV to be the temperature of BBN
      • -
    • compute Delta N_eff as defined in bbn file, i.e. $ \Delta N_{eff}=0$ means $ N_{eff}=3.046$
      • -
    • spline in one dimension (along deltaN)
      • -
    • interpolate in one dimension (along deltaN)
      • -
    • spline in remaining dimension (along omegab)
      • -
    • interpolate in remaining dimension (along omegab)
      • -
    • deallocate arrays
      • -
    - -
    -
    - -

    ◆ thermodynamics_onthespot_energy_injection()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_onthespot_energy_injection (struct precision * ppr,
    struct background * pba,
    struct recombination * preco,
    double z,
    double * energy_rate,
    ErrorMsg error_message 
    )
    -
    -

    In case of non-minimal cosmology, this function determines the energy rate injected in the IGM at a given redshift z (= on-the-spot annihilation). This energy injection may come e.g. from dark matter annihilation or decay.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    precoInput: pointer to recombination structure
    zInput: redshift
    energy_rateOutput: energy density injection rate
    error_messageOutput: error message
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ thermodynamics_energy_injection()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_energy_injection (struct precision * ppr,
    struct background * pba,
    struct recombination * preco,
    double z,
    double * energy_rate,
    ErrorMsg error_message 
    )
    -
    -

    In case of non-minimal cosmology, this function determines the effective energy rate absorbed by the IGM at a given redshift (beyond the on-the-spot annihilation). This energy injection may come e.g. from dark matter annihilation or decay.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    precoInput: pointer to recombination structure
    zInput: redshift
    energy_rateOutput: energy density injection rate
    error_messageOutput: error message
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ thermodynamics_reionization_function()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_reionization_function (double z,
    struct thermo * pth,
    struct reionization * preio,
    double * xe 
    )
    -
    -

    This subroutine contains the reionization function $ X_e(z) $ (one for each scheme; so far, only the function corresponding to the reio_camb scheme is coded)

    -
    Parameters
    - - - - - -
    zInput: redshift
    pthInput: pointer to thermo structure, to know which scheme is used
    preioInput: pointer to reionization structure, containing the parameters of the function $ X_e(z) $
    xeOutput: $ X_e(z) $
    -
    -
    -

    Summary:

    -
      -
    • define local variables
      • -
    • implementation of ionization function similar to the one in CAMB
      • -
    • –> case z > z_reio_start
      • -
    • –> case z < z_reio_start: hydrogen contribution (tanh of complicated argument)
      • -
    • –> case z < z_reio_start: helium contribution (tanh of simpler argument)
      • -
    • implementation of binned ionization function similar to astro-ph/0606552
      • -
    • –> case z > z_reio_start
      • -
    • implementation of many tanh jumps
      • -
    • –> case z > z_reio_start
      • -
    • implementation of reio_inter
      • -
    • –> case z > z_reio_start
      • -
    - -
    -
    - -

    ◆ thermodynamics_get_xe_before_reionization()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_get_xe_before_reionization (struct precision * ppr,
    struct thermo * pth,
    struct recombination * preco,
    double z,
    double * xe 
    )
    -
    -

    This subroutine reads $ X_e(z) $ in the recombination table at the time at which reionization starts. Hence it provides correct initial conditions for the reionization function.

    -
    Parameters
    - - - - - - -
    pprInput: pointer to precision structure
    pthInput: pointer to thermo structure
    precoInput: pointer to recombination structure
    zInput: redshift z_reio_start
    xeOutput: $ X_e(z) $ at z
    -
    -
    - -
    -
    - -

    ◆ thermodynamics_reionization()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_reionization (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct recombination * preco,
    struct reionization * preio,
    double * pvecback 
    )
    -
    -

    This routine computes the reionization history. In the reio_camb scheme, this is straightforward if the input parameter is the reionization redshift. If the input is the optical depth, need to find z_reio by dichotomy (trying several z_reio until the correct tau_reio is approached).

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermo structure
    precoInput: pointer to filled recombination structure
    preioInput/Output: pointer to reionization structure (to be filled)
    pvecbackInput: vector of background quantities (used as workspace: must be already allocated, with format short_info or larger, but does not need to be filled)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate the vector of parameters defining the function $ X_e(z) $
      • -
    • (a) if reionization implemented like in CAMB
      • -
    • –> set values of these parameters, excepted those depending on the reionization redshift
      • -
    • –> if reionization redshift given as an input, initialize the remaining values and fill reionization table
      • -
    • –> if reionization optical depth given as an input, find reionization redshift by dichotomy and initialize the remaining values
      • -
    • (b) if reionization implemented with reio_bins_tanh scheme
      • -
    • (c) if reionization implemented with reio_many_tanh scheme
      • -
    • (d) if reionization implemented with reio_inter scheme
      • -
    - -
    -
    - -

    ◆ thermodynamics_reionization_sample()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_reionization_sample (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct recombination * preco,
    struct reionization * preio,
    double * pvecback 
    )
    -
    -

    For fixed input reionization parameters, this routine computes the reionization history and fills the reionization table.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermo structure
    precoInput: pointer to filled recombination structure
    preioInput/Output: pointer to reionization structure (to be filled)
    pvecbackInput: vector of background quantities (used as workspace: must be already allocated, with format short_info or larger, but does not need to be filled)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • (a) allocate vector of values related to reionization
      • -
    • (b) create a growTable with gt_init()
      • -
    • (c) first line is taken from thermodynamics table, just before reionization starts
      • -
    • –> look where to start in current thermodynamics table
      • -
    • –> get redshift
      • -
    • –> get $ X_e $
      • -
    • –> get $ d \kappa / d z = (d \kappa / d \tau) * (d \tau / d z) = - (d \kappa / d \tau) / H $
      • -
    • –> get baryon temperature
      • -
    • –> after recombination, Tb scales like (1+z)**2. Compute constant factor Tb/(1+z)**2.
      • -
    • –> get baryon sound speed
      • -
    • –> store these values in growing table
      • -
    • (d) set the maximum step value (equal to the step in thermodynamics table)
      • -
    • (e) loop over redshift values in order to find values of z, x_e, kappa' (Tb and cb2 found later by integration). The sampling in z space is found here.
      • -
    • (f) allocate reionization_table with correct size
      • -
    • (g) retrieve data stored in the growTable with gt_getPtr()
      • -
    • (h) copy growTable to reionization_temporary_table (invert order of lines, so that redshift is growing, like in recombination table)
      • -
    • (i) free the growTable with gt_free() , free vector of reionization variables
      • -
    • (j) another loop on z, to integrate equation for Tb and to compute cb2
      • -
    • –> derivative of baryon temperature
      • -
    • –> increment baryon temperature
      • -
    • –> get baryon sound speed
      • -
    • –> spline $ d \tau / dz $ with respect to z in view of integrating for optical depth
      • -
    • –> integrate for optical depth
      • -
    - -
    -
    - -

    ◆ thermodynamics_recombination()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_recombination (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct recombination * preco,
    double * pvecback 
    )
    -
    -

    Integrate thermodynamics with your favorite recombination code.

    - -
    -
    - -

    ◆ thermodynamics_recombination_with_hyrec()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_recombination_with_hyrec (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct recombination * preco,
    double * pvecback 
    )
    -
    -

    Integrate thermodynamics with HyRec.

    -

    Integrate thermodynamics with HyRec, allocate and fill the part of the thermodynamics interpolation table (the rest is filled in thermodynamics_init()). Called once by thermodynamics_recombination(), from thermodynamics_init().

    -
                HYREC: Hydrogen and Helium Recombination Code
-    Written by Yacine Ali-Haimoud and Chris Hirata (Caltech)
-
    Parameters
    - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    precoOutput: pointer to recombination structure
    pvecbackInput: pointer to an allocated (but empty) vector of background variables
    -
    -
    -

    Summary:

    -
      -
    • Fill hyrec parameter structure
      • -
    • Build effective rate tables
      • -
    • distribute addresses for each table
      • -
    • Normalize 2s–1s differential decay rate to L2s1s (can be set by user in hydrogen.h)
      • -
    • Compute the recombination history by calling a function in hyrec (no CLASS-like error management here)
      • -
    • fill a few parameters in preco and pth
      • -
    • allocate memory for thermodynamics interpolation tables (size known in advance) and fill it
      • -
    • –> get redshift, corresponding results from hyrec, and background quantities
      • -
    • –> store the results in the table
      • -
    - -
    -
    - -

    ◆ thermodynamics_recombination_with_recfast()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_recombination_with_recfast (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct recombination * preco,
    double * pvecback 
    )
    -
    -

    Integrate thermodynamics with RECFAST.

    -

    Integrate thermodynamics with RECFAST, allocate and fill the part of the thermodynamics interpolation table (the rest is filled in thermodynamics_init()). Called once by thermodynamics_recombination, from thermodynamics_init().

    -

    RECFAST is an integrator for Cosmic Recombination of Hydrogen and Helium, developed by Douglas Scott (dscot.nosp@m.t@as.nosp@m.tro.u.nosp@m.bc.c.nosp@m.a) based on calculations in the paper Seager, Sasselov & Scott (ApJ, 523, L1, 1999). and "fudge" updates in Wong, Moss & Scott (2008).

    -

    Permission to use, copy, modify and distribute without fee or royalty at any tier, this software and its documentation, for any purpose and without fee or royalty is hereby granted, provided that you agree to comply with the following copyright notice and statements, including the disclaimer, and that the same appear on ALL copies of the software and documentation, including modifications that you make for internal use or for distribution:

    -

    Copyright 1999-2010 by University of British Columbia. All rights reserved.

    -

    THIS SOFTWARE IS PROVIDED "AS IS", AND U.B.C. MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED. BY WAY OF EXAMPLE, BUT NOT LIMITATION, U.B.C. MAKES NO REPRESENTATIONS OR WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF THE LICENSED SOFTWARE OR DOCUMENTATION WILL NOT INFRINGE ANY THIRD PARTY PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS.

    -

    Version 1.5: includes extra fitting function from Rubino-Martin et al. arXiv:0910.4383v1 [astro-ph.CO]

    -
    Parameters
    - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    precoOutput: pointer to recombination structure
    pvecbackInput: pointer to an allocated (but empty) vector of background variables
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • allocate memory for thermodynamics interpolation tables (size known in advance)
      • -
    • initialize generic integrator with initialize_generic_integrator()
      • -
    • read a few precision/cosmological parameters
      • -
    • define the fields of the 'thermodynamics parameter and workspace' structure
      • -
    • impose initial conditions at early times
      • -
    • loop over redshift steps Nz; integrate over each step with generic_integrator(), store the results in the table using thermodynamics_derivs_with_recfast()
      • -
    • –> first approximation: H and Helium fully ionized
      • -
    • –> second approximation: first Helium recombination (analytic approximation)
      • -
    • –> third approximation: first Helium recombination completed
      • -
    • –> fourth approximation: second Helium recombination starts (analytic approximation)
      • -
    • –> fifth approximation: second Helium recombination (full evolution for Helium), H recombination starts (analytic approximation)
      • -
    • –> last case: full evolution for H and Helium
      • -
    • –> store the results in the table
      • -
    • cleanup generic integrator with cleanup_generic_integrator()
      • -
    - -
    -
    - -

    ◆ thermodynamics_derivs_with_recfast()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_derivs_with_recfast (double z,
    double * y,
    double * dy,
    void * parameters_and_workspace,
    ErrorMsg error_message 
    )
    -
    -

    Subroutine evaluating the derivative with respect to redshift of thermodynamical quantities (from RECFAST version 1.4).

    -

    Computes derivatives of the three variables to integrate: $ d x_H / dz, d x_{He} / dz, d T_{mat} / dz $.

    -

    This is one of the few functions in the code which are passed to the generic_integrator() routine. Since generic_integrator() should work with functions passed from various modules, the format of the arguments is a bit special:

    -
      -
    • fixed parameters and workspaces are passed through a generic pointer. Here, this pointer contains the precision, background and recombination structures, plus a background vector, but generic_integrator() doesn't know its fine structure.
      • -
    • the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message passed in the list of arguments.
      • -
    -
    Parameters
    - - - - - - -
    zInput: redshift
    yInput: vector of variable to integrate
    dyOutput: its derivative (already allocated)
    parameters_and_workspaceInput: pointer to fixed parameters (e.g. indices) and workspace (already allocated)
    error_messageOutput: error message
    -
    -
    - -
    -
    - -

    ◆ thermodynamics_merge_reco_and_reio()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_merge_reco_and_reio (struct precision * ppr,
    struct thermo * pth,
    struct recombination * preco,
    struct reionization * preio 
    )
    -
    -

    This routine merges the two tables 'recombination_table' and 'reionization_table' inside the table 'thermodynamics_table', and frees the temporary structures 'recombination' and 'reionization'.

    -
    Parameters
    - - - - - -
    pprInput: pointer to precision structure
    pthInput/Output: pointer to thermo structure
    precoInput: pointer to filled recombination structure
    preioInput: pointer to reionization structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • first, a little check that the two tables match each other and can be merged
      • -
    • find number of redshift in full table = number in reco + number in reio - overlap
      • -
    • allocate arrays in thermo structure
      • -
    • fill these arrays
      • -
    • free the temporary structures
      • -
    - -
    -
    - -

    ◆ thermodynamics_output_titles()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int thermodynamics_output_titles (struct background * pba,
    struct thermo * pth,
    char titles[_MAXTITLESTRINGLENGTH_] 
    )
    -
    -

    Subroutine for formatting thermodynamics output

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/thermodynamics_8c.js b/doc/manual/html/thermodynamics_8c.js deleted file mode 100644 index 18730624..00000000 --- a/doc/manual/html/thermodynamics_8c.js +++ /dev/null @@ -1,20 +0,0 @@ -var thermodynamics_8c = -[ - [ "thermodynamics_at_z", "thermodynamics_8c.html#a5763e8991ba30efe92c3007d1abfee95", null ], - [ "thermodynamics_init", "thermodynamics_8c.html#a1acbfae38edb0c73d8991645f89b2d13", null ], - [ "thermodynamics_free", "thermodynamics_8c.html#a689045596045ab02bb1853298d81f634", null ], - [ "thermodynamics_indices", "thermodynamics_8c.html#a8fff80fda27805f33d1f3deaf9f90cce", null ], - [ "thermodynamics_helium_from_bbn", "thermodynamics_8c.html#aa99e8a0f968b10a07df134c51011ed2e", null ], - [ "thermodynamics_onthespot_energy_injection", "thermodynamics_8c.html#a7f1a04c6e4b080dbbe2855969e16eb25", null ], - [ "thermodynamics_energy_injection", "thermodynamics_8c.html#ad83c9423d4031f0f3797afb6ff2e33b5", null ], - [ "thermodynamics_reionization_function", "thermodynamics_8c.html#a2c452e9b63299d65eaabe2065bfbb8a8", null ], - [ "thermodynamics_get_xe_before_reionization", "thermodynamics_8c.html#a81120dad31dd155c4c3eaca36da53080", null ], - [ "thermodynamics_reionization", "thermodynamics_8c.html#aa8e6b48cadc0a989b729fa624e1d61b3", null ], - [ "thermodynamics_reionization_sample", "thermodynamics_8c.html#a056862f1b2d37b8408ab7fdde116968f", null ], - [ "thermodynamics_recombination", "thermodynamics_8c.html#a13696727ba92af10edfed3ebf8c43a8a", null ], - [ "thermodynamics_recombination_with_hyrec", "thermodynamics_8c.html#a3bddca88ed8e4de96ef783710739b2e6", null ], - [ "thermodynamics_recombination_with_recfast", "thermodynamics_8c.html#ab7d2c22e2a933156c291bfa467731ab2", null ], - [ "thermodynamics_derivs_with_recfast", "thermodynamics_8c.html#a00dc65dc088eabe075227c673f091297", null ], - [ "thermodynamics_merge_reco_and_reio", "thermodynamics_8c.html#a49f9b949c30411585549b523d2033089", null ], - [ "thermodynamics_output_titles", "thermodynamics_8c.html#a4f8b2bc131699db3ff7e2b9c14dfe940", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c__incl.map b/doc/manual/html/thermodynamics_8c__incl.map deleted file mode 100644 index 455ffac4..00000000 --- a/doc/manual/html/thermodynamics_8c__incl.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c__incl.md5 b/doc/manual/html/thermodynamics_8c__incl.md5 deleted file mode 100644 index 06edf8db..00000000 --- a/doc/manual/html/thermodynamics_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -6f86d6ad65d049c359869de66704ceb5 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c__incl.png b/doc/manual/html/thermodynamics_8c__incl.png deleted file mode 100644 index 524313af..00000000 Binary files a/doc/manual/html/thermodynamics_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.map b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.map deleted file mode 100644 index 155aac97..00000000 --- a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.md5 b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.md5 deleted file mode 100644 index 97f50874..00000000 --- a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -22dcbb0b0f99673a43ab4124bb687b34 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.png b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.png deleted file mode 100644 index c58492d8..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.map b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.map deleted file mode 100644 index e92be6ef..00000000 --- a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.md5 deleted file mode 100644 index b22af164..00000000 --- a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -c19feaf584d3c37dc46b153bf9b6df0c \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.png b/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.png deleted file mode 100644 index 4cb13943..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a00dc65dc088eabe075227c673f091297_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.map b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.map deleted file mode 100644 index f0197608..00000000 --- a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.md5 b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.md5 deleted file mode 100644 index 27c9ecfb..00000000 --- a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -00b71ff7f7aa8307f96de51b1e2950b3 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.png b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.png deleted file mode 100644 index c82b4e4e..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.map b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.map deleted file mode 100644 index 58d8d7c3..00000000 --- a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.md5 deleted file mode 100644 index 16e38b6b..00000000 --- a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -0429b30213d8217cab097b4a54b265e5 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.png b/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.png deleted file mode 100644 index 27ac6173..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a056862f1b2d37b8408ab7fdde116968f_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.map b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.map deleted file mode 100644 index 74fea433..00000000 --- a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.md5 b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.md5 deleted file mode 100644 index 54e77ac1..00000000 --- a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -c48cc2aa73d882df7743020a79bdf376 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.png b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.png deleted file mode 100644 index 3ddd686f..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.map b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.map deleted file mode 100644 index bd7b1c16..00000000 --- a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.md5 deleted file mode 100644 index ea372a11..00000000 --- a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1c1e4f6357ae4f685dfefc8dada84ead \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.png b/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.png deleted file mode 100644 index 22daaaf4..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a13696727ba92af10edfed3ebf8c43a8a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.map b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.map deleted file mode 100644 index 658264fa..00000000 --- a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.map +++ /dev/null @@ -1,17 +0,0 @@ - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.md5 b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.md5 deleted file mode 100644 index d444e7f7..00000000 --- a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3c9c43404513ad945b80a3083d0be04c \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.png b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.png deleted file mode 100644 index f7417660..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.map b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.map deleted file mode 100644 index ef89c956..00000000 --- a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.md5 deleted file mode 100644 index 792acd75..00000000 --- a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -549cb8bfac64bb322d9041eb0ea473f5 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.png b/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.png deleted file mode 100644 index 37e8e8d8..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a1acbfae38edb0c73d8991645f89b2d13_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.map b/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.map deleted file mode 100644 index 96414de0..00000000 --- a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.md5 deleted file mode 100644 index ccc69bb8..00000000 --- a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a092b172055d7cb6ef6451f120f0899e \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.png b/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.png deleted file mode 100644 index 052f3e14..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a2c452e9b63299d65eaabe2065bfbb8a8_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.map b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.map deleted file mode 100644 index bff80aea..00000000 --- a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.md5 b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.md5 deleted file mode 100644 index a15130a8..00000000 --- a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -107f2b99ba8bb892cd53fd0cbcfc4a96 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.png b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.png deleted file mode 100644 index 804e3d2b..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.map b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.map deleted file mode 100644 index 863a843b..00000000 --- a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.md5 deleted file mode 100644 index 6e4bd020..00000000 --- a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2ae020d05ce1dcac0eb78163fa0a9fb7 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.png b/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.png deleted file mode 100644 index d7263a24..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a3bddca88ed8e4de96ef783710739b2e6_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.map b/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.map deleted file mode 100644 index 85cdc727..00000000 --- a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.md5 deleted file mode 100644 index facc5245..00000000 --- a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -93d94cd3f4433148f2f8c1c105efa2be \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.png b/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.png deleted file mode 100644 index 3706d694..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a49f9b949c30411585549b523d2033089_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.map b/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.map deleted file mode 100644 index b930f352..00000000 --- a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.map +++ /dev/null @@ -1,14 +0,0 @@ - - - - - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.md5 deleted file mode 100644 index 62396ed4..00000000 --- a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -8176d48cc9f36fc58ecc9acd206a719a \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.png b/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.png deleted file mode 100644 index 7ce3aa79..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a5763e8991ba30efe92c3007d1abfee95_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.map b/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.map deleted file mode 100644 index d60411d8..00000000 --- a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.md5 deleted file mode 100644 index 6dd958ec..00000000 --- a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b710871646945b72dd9c1a32b801af26 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.png b/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.png deleted file mode 100644 index 0f73b405..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a689045596045ab02bb1853298d81f634_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.map b/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.map deleted file mode 100644 index 55a6ccb9..00000000 --- a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.map +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.md5 deleted file mode 100644 index cc6aae2f..00000000 --- a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -241ef3cdf1163350c0d2b50e092bc4e2 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.png b/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.png deleted file mode 100644 index 21e13316..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a7f1a04c6e4b080dbbe2855969e16eb25_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.map b/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.map deleted file mode 100644 index 62850c52..00000000 --- a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.md5 deleted file mode 100644 index d3fde351..00000000 --- a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -434d9971fbda46d55ec4ccd37a370efb \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.png b/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.png deleted file mode 100644 index 6fa014dd..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a81120dad31dd155c4c3eaca36da53080_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.map b/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.map deleted file mode 100644 index 3d4b6e0e..00000000 --- a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.md5 b/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.md5 deleted file mode 100644 index ed9d6194..00000000 --- a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d90a6c9bf7ac718552cb52452e41a452 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.png b/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.png deleted file mode 100644 index 482b2f03..00000000 Binary files a/doc/manual/html/thermodynamics_8c_a8fff80fda27805f33d1f3deaf9f90cce_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.map b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.map deleted file mode 100644 index 42acaa84..00000000 --- a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.md5 b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.md5 deleted file mode 100644 index 74f56edb..00000000 --- a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1d640a7e7778b3bf15e37a29af2b0a43 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.png b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.png deleted file mode 100644 index 449e5fa6..00000000 Binary files a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.map b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.map deleted file mode 100644 index 9d5dca2a..00000000 --- a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.md5 b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.md5 deleted file mode 100644 index b8770362..00000000 --- a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -74cd2c67d00387c4c83b492339d1f6f5 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.png b/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.png deleted file mode 100644 index 9718bb2c..00000000 Binary files a/doc/manual/html/thermodynamics_8c_aa8e6b48cadc0a989b729fa624e1d61b3_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.map b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.map deleted file mode 100644 index cb068f42..00000000 --- a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.md5 b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.md5 deleted file mode 100644 index a4cdf70f..00000000 --- a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b6e77062a2bed2170f43ef2844c8e7a3 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.png b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.png deleted file mode 100644 index 71e1deba..00000000 Binary files a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.map b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.map deleted file mode 100644 index 2297016c..00000000 --- a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.md5 b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.md5 deleted file mode 100644 index 4f0a290b..00000000 --- a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6396031218382804a364e3fd28187844 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.png b/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.png deleted file mode 100644 index 89ed87bb..00000000 Binary files a/doc/manual/html/thermodynamics_8c_aa99e8a0f968b10a07df134c51011ed2e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.map b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.map deleted file mode 100644 index c44c86b0..00000000 --- a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.md5 b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.md5 deleted file mode 100644 index 6c74db40..00000000 --- a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -06f750902acd4c64fb148b922604c8d9 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.png b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.png deleted file mode 100644 index ea61d73b..00000000 Binary files a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.map b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.map deleted file mode 100644 index 7bfb979d..00000000 --- a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.md5 b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.md5 deleted file mode 100644 index a986e7d2..00000000 --- a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -692d13dd19ba55594ef60d58279ccbb0 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.png b/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.png deleted file mode 100644 index 02e0085b..00000000 Binary files a/doc/manual/html/thermodynamics_8c_ab7d2c22e2a933156c291bfa467731ab2_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.map b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.map deleted file mode 100644 index b00d1bd6..00000000 --- a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.md5 b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.md5 deleted file mode 100644 index c2918156..00000000 --- a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -0c19799698afb5ff84a874962de4038a \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.png b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.png deleted file mode 100644 index c179c728..00000000 Binary files a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_cgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.map b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.map deleted file mode 100644 index ecf3c0a2..00000000 --- a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.md5 b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.md5 deleted file mode 100644 index 147efa69..00000000 --- a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -73e486999813115da10c2d76bdd94935 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.png b/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.png deleted file mode 100644 index 01462dc6..00000000 Binary files a/doc/manual/html/thermodynamics_8c_ad83c9423d4031f0f3797afb6ff2e33b5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8h.html b/doc/manual/html/thermodynamics_8h.html deleted file mode 100644 index ad4ebffc..00000000 --- a/doc/manual/html/thermodynamics_8h.html +++ /dev/null @@ -1,1352 +0,0 @@ - - - - - - - -CLASS MANUAL: thermodynamics.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures | -Macros | -Enumerations
    -
    -
    thermodynamics.h File Reference
    -
    -
    -
    #include "background.h"
    -
    - + Include dependency graph for thermodynamics.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - - - - - - - -

    -Data Structures

    struct  thermo
     
    struct  recombination
     
    struct  reionization
     
    struct  thermodynamics_parameters_and_workspace
     
    - - - - - - - - - - -

    -Macros

    #define f1(x)   (-0.75*x*(x*x/3.-1.)+0.5)
     
    #define f2(x)   (x*x*(0.5-x/3.)*6.)
     
    #define _YHE_BIG_   0.5
     
    #define _YHE_SMALL_   0.01
     
    - - - - - - - -

    -Enumerations

    enum  recombination_algorithm
     
    enum  reionization_parametrization {
    -  reio_none, -reio_camb, -reio_bins_tanh, -reio_half_tanh, -
    -  reio_many_tanh, -reio_inter -
    - }
     
    enum  reionization_z_or_tau { reio_z, -reio_tau - }
     
    -

    Detailed Description

    -

    Documented includes for thermodynamics module

    -

    Data Structure Documentation

    - -

    ◆ thermo

    - -
    -
    - - - - -
    struct thermo
    -
    -

    All thermodynamics parameters and evolution that other modules need to know.

    -

    Once initialized by thermodynamics_init(), contains all the necessary information on the thermodynamics, and in particular, a table of thermodynamical quantities as a function of the redshift, used for interpolation in other modules.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -double -YHe -

    $ Y_{He} $: primordial helium fraction

    -
    -enum recombination_algorithm -recombination -

    recombination code

    -
    -enum reionization_parametrization -reio_parametrization -

    reionization scheme

    -
    -enum reionization_z_or_tau -reio_z_or_tau -

    is the input parameter the reionization redshift or optical depth?

    -
    -double -tau_reio -

    if above set to tau, input value of reionization optical depth

    -
    -double -z_reio -

    if above set to z, input value of reionization redshift

    -
    -short -compute_cb2_derivatives -

    do we want to include in computation derivatives of baryon sound speed?

    -
    -short -compute_damping_scale -

    do we want to compute the simplest analytic approximation to the photon damping (or diffusion) scale?

    -
    -double -reionization_width -

    parameters for reio_camb width of H reionization

    -
    -double -reionization_exponent -

    shape of H reionization

    -
    -double -helium_fullreio_redshift -

    redshift for of helium reionization

    -
    -double -helium_fullreio_width -

    width of helium reionization

    -
    -int -binned_reio_num -

    parameters for reio_bins_tanh with how many bins do we want to describe reionization?

    -
    -double * -binned_reio_z -

    central z value for each bin

    -
    -double * -binned_reio_xe -

    imposed $ X_e(z)$ value at center of each bin

    -
    -double -binned_reio_step_sharpness -

    sharpness of tanh() step interpolating between binned values

    -
    -int -many_tanh_num -

    parameters for reio_many_tanh with how many jumps do we want to describe reionization?

    -
    -double * -many_tanh_z -

    central z value for each tanh jump

    -
    -double * -many_tanh_xe -

    imposed $ X_e(z)$ value at the end of each jump (ie at later times)

    -
    -double -many_tanh_width -

    sharpness of tanh() steps

    -
    -int -reio_inter_num -

    parameters for reio_inter with how many jumps do we want to describe reionization?

    -
    -double * -reio_inter_z -

    discrete z values

    -
    -double * -reio_inter_xe -

    discrete $ X_e(z)$ values

    -
    -double -annihilation -

    parameters for energy injection

    -
    -short -has_on_the_spot -

    parameter describing CDM annihilation (f <sigma*v> / m_cdm, see e.g. 0905.0003)

    -
    -double -decay -

    flag to specify if we want to use the on-the-spot approximation

    -
    -double -annihilation_variation -

    parameter describing CDM decay (f/tau, see e.g. 1109.6322)

    -
    -double -annihilation_z -

    if this parameter is non-zero, the function F(z)=(f <sigma*v> / m_cdm)(z) will be a parabola in log-log scale between zmin and zmax, with a curvature given by annihlation_variation (must be negative), and with a maximum in zmax; it will be constant outside this range

    -
    -double -annihilation_zmax -

    if annihilation_variation is non-zero, this is the value of z at which the parameter annihilation is defined, i.e. F(annihilation_z)=annihilation

    -
    -double -annihilation_zmin -

    if annihilation_variation is non-zero, redshift above which annihilation rate is maximal

    -
    -double -annihilation_f_halo -

    if annihilation_variation is non-zero, redshift below which annihilation rate is constant

    -
    -double -annihilation_z_halo -

    takes the contribution of DM annihilation in halos into account

    -
    -int -index_th_xe -

    ionization fraction $ x_e $

    -
    -int -index_th_dkappa -

    Thomson scattering rate $ d \kappa / d \tau$ (units 1/Mpc)

    -
    -int -index_th_tau_d -

    Baryon drag optical depth

    -
    -int -index_th_ddkappa -

    scattering rate derivative $ d^2 \kappa / d \tau^2 $

    -
    -int -index_th_dddkappa -

    scattering rate second derivative $ d^3 \kappa / d \tau^3 $

    -
    -int -index_th_exp_m_kappa -

    $ exp^{-\kappa} $

    -
    -int -index_th_g -

    visibility function $ g = (d \kappa / d \tau) * exp^{-\kappa} $

    -
    -int -index_th_dg -

    visibility function derivative $ (d g / d \tau) $

    -
    -int -index_th_ddg -

    visibility function second derivative $ (d^2 g / d \tau^2) $

    -
    -int -index_th_Tb -

    baryon temperature $ T_b $

    -
    -int -index_th_cb2 -

    squared baryon sound speed $ c_b^2 $

    -
    -int -index_th_dcb2 -

    derivative wrt conformal time of squared baryon sound speed $ d [c_b^2] / d \tau $ (only computed if some non-minimal tight-coupling schemes is requested)

    -
    -int -index_th_ddcb2 -

    second derivative wrt conformal time of squared baryon sound speed $ d^2 [c_b^2] / d \tau^2 $ (only computed if some non0-minimal tight-coupling schemes is requested)

    -
    -int -index_th_rate -

    maximum variation rate of $ exp^{-\kappa}$, g and $ (d g / d \tau) $, used for computing integration step in perturbation module

    -
    -int -index_th_r_d -

    simple analytic approximation to the photon comoving damping scale

    -
    -int -th_size -

    size of thermodynamics vector

    -
    -int -tt_size -

    number of lines (redshift steps) in the tables

    -
    -double * -z_table -

    vector z_table[index_z] with values of redshift (vector of size tt_size)

    -
    -double * -thermodynamics_table -

    table thermodynamics_table[index_z*pth->tt_size+pba->index_th] with all other quantities (array of size th_size*tt_size)

    -
    -double * -d2thermodynamics_dz2_table -

    table d2thermodynamics_dz2_table[index_z*pth->tt_size+pba->index_th] with values of $ d^2 t_i / dz^2 $ (array of size th_size*tt_size)

    -
    -double -z_rec -

    z at which the visibility reaches its maximum (= recombination redshift)

    -
    -double -tau_rec -

    conformal time at which the visibility reaches its maximum (= recombination time)

    -
    -double -rs_rec -

    comoving sound horizon at recombination

    -
    -double -ds_rec -

    physical sound horizon at recombination

    -
    -double -ra_rec -

    conformal angular diameter distance to recombination

    -
    -double -da_rec -

    physical angular diameter distance to recombination

    -
    -double -rd_rec -

    comoving photon damping scale at recombination

    -
    -double -z_d -

    baryon drag redshift

    -
    -double -tau_d -

    baryon drag time

    -
    -double -ds_d -

    physical sound horizon at baryon drag

    -
    -double -rs_d -

    comoving sound horizon at baryon drag

    -
    -double -tau_cut -

    at at which the visibility goes below a fixed fraction of the maximum visibility, used for an approximation in perturbation module

    -
    -double -angular_rescaling -

    [ratio ra_rec / (tau0-tau_rec)]: gives CMB rescaling in angular space relative to flat model (=1 for curvature K=0)

    -
    -double -tau_free_streaming -

    minimum value of tau at which sfree-streaming approximation can be switched on

    -
    -double -tau_ini -

    initial conformal time at which thermodynamical variables have been be integrated

    -
    -double -n_e -

    total number density of electrons today (free or not)

    -
    -short -inter_normal -

    flag for calling thermodynamics_at_z and find position in interpolation table normally

    -
    -short -inter_closeby -

    flag for calling thermodynamics_at_z and find position in interpolation table starting from previous position in previous call

    -
    -short -thermodynamics_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    - -

    ◆ recombination

    - -
    -
    - - - - -
    struct recombination
    -
    -

    Temporary structure where all the recombination history is defined and stored.

    -

    This structure is used internally by the thermodynamics module, but never passed to other modules.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -int -index_re_z -

    redshift $ z $

    -
    -int -index_re_xe -

    ionization fraction $ x_e $

    -
    -int -index_re_Tb -

    baryon temperature $ T_b $

    -
    -int -index_re_cb2 -

    squared baryon sound speed $ c_b^2 $

    -
    -int -index_re_dkappadtau -

    Thomson scattering rate $ d \kappa / d \tau $ (units 1/Mpc)

    -
    -int -re_size -

    size of this vector

    -
    -int -rt_size -

    number of lines (redshift steps) in the table

    -
    -double * -recombination_table -

    table recombination_table[index_z*preco->re_size+index_re] with all other quantities (array of size preco->rt_size*preco->re_size)

    -
    -double -CDB -

    defined as in RECFAST

    -
    -double -CR -

    defined as in RECFAST

    -
    -double -CK -

    defined as in RECFAST

    -
    -double -CL -

    defined as in RECFAST

    -
    -double -CT -

    defined as in RECFAST

    -
    -double -fHe -

    defined as in RECFAST

    -
    -double -CDB_He -

    defined as in RECFAST

    -
    -double -CK_He -

    defined as in RECFAST

    -
    -double -CL_He -

    defined as in RECFAST

    -
    -double -fu -

    defined as in RECFAST

    -
    -double -H_frac -

    defined as in RECFAST

    -
    -double -Tnow -

    defined as in RECFAST

    -
    -double -Nnow -

    defined as in RECFAST

    -
    -double -Bfact -

    defined as in RECFAST

    -
    -double -CB1 -

    defined as in RECFAST

    -
    -double -CB1_He1 -

    defined as in RECFAST

    -
    -double -CB1_He2 -

    defined as in RECFAST

    -
    -double -H0 -

    defined as in RECFAST

    -
    -double -YHe -

    defined as in RECFAST

    -
    -double -annihilation -

    parameter describing CDM annihilation (f <sigma*v> / m_cdm, see e.g. 0905.0003)

    -
    -short -has_on_the_spot -

    flag to specify if we want to use the on-the-spot approximation

    -
    -double -decay -

    parameter describing CDM decay (f/tau, see e.g. 1109.6322)

    -
    -double -annihilation_variation -

    if this parameter is non-zero, the function F(z)=(f <sigma*v> / m_cdm)(z) will be a parabola in log-log scale between zmin and zmax, with a curvature given by annihlation_variation (must be negative), and with a maximum in zmax; it will be constant outside this range

    -
    -double -annihilation_z -

    if annihilation_variation is non-zero, this is the value of z at which the parameter annihilation is defined, i.e. F(annihilation_z)=annihilation

    -
    -double -annihilation_zmax -

    if annihilation_variation is non-zero, redshift above which annihilation rate is maximal

    -
    -double -annihilation_zmin -

    if annihilation_variation is non-zero, redshift below which annihilation rate is constant

    -
    -double -annihilation_f_halo -

    takes the contribution of DM annihilation in halos into account

    -
    -double -annihilation_z_halo -

    characteristic redshift for DM annihilation in halos

    -
    - -
    -
    - -

    ◆ reionization

    - -
    -
    - - - - -
    struct reionization
    -
    -

    Temporary structure where all the reionization history is defined and stored.

    -

    This structure is used internally by the thermodynamics module, but never passed to other modules.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -int -index_re_z -

    redshift $ z $

    -
    -int -index_re_xe -

    ionization fraction $ x_e $

    -
    -int -index_re_Tb -

    baryon temperature $ T_b $

    -
    -int -index_re_cb2 -

    squared baryon sound speed $ c_b^2 $

    -
    -int -index_re_dkappadtau -

    Thomson scattering rate $ d \kappa / d \tau$ (units 1/Mpc)

    -
    -int -index_re_dkappadz -

    Thomson scattering rate with respect to redshift $ d \kappa / d z$ (units 1/Mpc)

    -
    -int -index_re_d3kappadz3 -

    second derivative of previous quantity with respect to redshift

    -
    -int -re_size -

    size of this vector

    -
    -int -rt_size -

    number of lines (redshift steps) in the table

    -
    -double * -reionization_table -

    table reionization_table[index_z*preio->re_size+index_re] with all other quantities (array of size preio->rt_size*preio->re_size)

    -
    -double -reionization_optical_depth -

    reionization optical depth inferred from reionization history

    -
    -int -index_reio_redshift -

    hydrogen reionization redshift

    -
    -int -index_reio_exponent -

    an exponent used in the function x_e(z) in the reio_camb scheme

    -
    -int -index_reio_width -

    a width defining the duration of hydrogen reionization in the reio_camb scheme

    -
    -int -index_reio_xe_before -

    ionization fraction at redshift 'reio_start'

    -
    -int -index_reio_xe_after -

    ionization fraction after full reionization

    -
    -int -index_helium_fullreio_fraction -

    helium full reionization fraction inferred from primordial helium fraction

    -
    -int -index_helium_fullreio_redshift -

    helium full reionization redshift

    -
    -int -index_helium_fullreio_width -

    a width defining the duration of helium full reionization in the reio_camb scheme

    -
    -int -reio_num_z -

    number of reionization jumps

    -
    -int -index_reio_first_z -

    redshift at which we start to impose reionization function

    -
    -int -index_reio_first_xe -

    ionization fraction at redshift first_z (inferred from recombination code)

    -
    -int -index_reio_step_sharpness -

    sharpness of tanh jump

    -
    -int -index_reio_start -

    redshift above which hydrogen reionization neglected

    -
    -double * -reionization_parameters -

    vector containing all reionization parameters necessary to compute xe(z)

    -
    -int -reio_num_params -

    length of vector reionization_parameters

    -
    -int -index_reco_when_reio_start -

    index of line in recombination table corresponding to first line of reionization table

    -
    - -
    -
    - -

    ◆ thermodynamics_parameters_and_workspace

    - -
    -
    - - - - -
    struct thermodynamics_parameters_and_workspace
    -
    -

    temporary parameters and workspace passed to the thermodynamics_derivs function

    -
    -
    -
    -

    Macro Definition Documentation

    - -

    ◆ f1

    - -
    -
    - - - - - - - - -
    #define f1( x)   (-0.75*x*(x*x/3.-1.)+0.5)
    -
    -

    Two useful smooth step functions, for smoothing transitions in recfast.goes from 0 to 1 when x goes from -1 to 1

    - -
    -
    - -

    ◆ f2

    - -
    -
    - - - - - - - - -
    #define f2( x)   (x*x*(0.5-x/3.)*6.)
    -
    -

    goes from 0 to 1 when x goes from 0 to 1

    - -
    -
    - -

    ◆ _YHE_BIG_

    - -
    -
    - - - - -
    #define _YHE_BIG_   0.5
    -
    -

    maximal $ Y_{He} $

    - -
    -
    - -

    ◆ _YHE_SMALL_

    - -
    -
    - - - - -
    #define _YHE_SMALL_   0.01
    -
    -

    minimal $ Y_{He} $

    - -
    -
    -

    Enumeration Type Documentation

    - -

    ◆ recombination_algorithm

    - -
    -
    - - - - -
    enum recombination_algorithm
    -
    -

    List of possible recombination algorithms.

    - -
    -
    - -

    ◆ reionization_parametrization

    - -
    -
    - - - - -
    enum reionization_parametrization
    -
    -

    List of possible reionization schemes.

    - - - - - - - -
    Enumerator
    reio_none 

    no reionization

    -
    reio_camb 

    reionization parameterized like in CAMB

    -
    reio_bins_tanh 

    binned reionization history with tanh inteprolation between bins

    -
    reio_half_tanh 

    half a tanh, instead of the full tanh

    -
    reio_many_tanh 

    similar to reio_camb but with more than one tanh

    -
    reio_inter 

    linear interpolation between specified points

    -
    - -
    -
    - -

    ◆ reionization_z_or_tau

    - -
    -
    - - - - -
    enum reionization_z_or_tau
    -
    -

    Is the input parameter the reionization redshift or optical depth?

    - - - -
    Enumerator
    reio_z 

    input = redshift

    -
    reio_tau 

    input = tau

    -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/thermodynamics_8h.js b/doc/manual/html/thermodynamics_8h.js deleted file mode 100644 index 54609f36..00000000 --- a/doc/manual/html/thermodynamics_8h.js +++ /dev/null @@ -1,162 +0,0 @@ -var thermodynamics_8h = -[ - [ "thermo", "thermodynamics_8h.html#structthermo", [ - [ "YHe", "thermodynamics_8h.html#a5659de2c81941b7a400fd7e7ea3c313d", null ], - [ "recombination", "thermodynamics_8h.html#a5e6ec5533b6b93b80cfaa0d933117410", null ], - [ "reio_parametrization", "thermodynamics_8h.html#a933d64335c2f8d29ac8966d311e76902", null ], - [ "reio_z_or_tau", "thermodynamics_8h.html#aa911a8bfc092639aef86ba60351a3b0c", null ], - [ "tau_reio", "thermodynamics_8h.html#a3a2458620f9e70183e0df4900abe2764", null ], - [ "z_reio", "thermodynamics_8h.html#a09cdddaec3d9d3be0c790a119b1023f0", null ], - [ "compute_cb2_derivatives", "thermodynamics_8h.html#a3d509e606f8d353fed5b353562fbec2a", null ], - [ "compute_damping_scale", "thermodynamics_8h.html#a0ad4a85264f773d11292fc66c5f9d598", null ], - [ "reionization_width", "thermodynamics_8h.html#abde0e80ab0c3e3114cc636d65c2830df", null ], - [ "reionization_exponent", "thermodynamics_8h.html#a6ff33c2e66391af885b6726784e5b92d", null ], - [ "helium_fullreio_redshift", "thermodynamics_8h.html#a4b0d41186002feda14910e2b70948c22", null ], - [ "helium_fullreio_width", "thermodynamics_8h.html#a8f3047a7ce30970e752971bb4786ed57", null ], - [ "binned_reio_num", "thermodynamics_8h.html#a5f115357a3c951feb221fe195a0e3a84", null ], - [ "binned_reio_z", "thermodynamics_8h.html#a88cd6b43f9f3ec6251d087324ce99a0f", null ], - [ "binned_reio_xe", "thermodynamics_8h.html#a502646184962388167cc9e77f6318f2a", null ], - [ "binned_reio_step_sharpness", "thermodynamics_8h.html#a8059572ea77e901114e2a617cd31c8e7", null ], - [ "many_tanh_num", "thermodynamics_8h.html#ada9c9823a4dc41e3e6397b670b5389b4", null ], - [ "many_tanh_z", "thermodynamics_8h.html#a4011a979ddfb33fde348fbb9e08f0458", null ], - [ "many_tanh_xe", "thermodynamics_8h.html#ad14b8f1cb5561b40dbf39af0a49a1557", null ], - [ "many_tanh_width", "thermodynamics_8h.html#adb1b7437b219c65ddf3405e90acaafd5", null ], - [ "reio_inter_num", "thermodynamics_8h.html#ab249a7342381ebfe08dfaf1d26f332cf", null ], - [ "reio_inter_z", "thermodynamics_8h.html#ae0d8972ad4bbfc24974b8b08c0ce45b6", null ], - [ "reio_inter_xe", "thermodynamics_8h.html#af90417ae2eefad3e9c8974b6e1b105f0", null ], - [ "annihilation", "thermodynamics_8h.html#ae415dbb7614aa005deb5517d6f0548e3", null ], - [ "has_on_the_spot", "thermodynamics_8h.html#ab832f907a088efc0d5961151a2fde139", null ], - [ "decay", "thermodynamics_8h.html#a2200cfa2674a5489210d32c6d0fc48cb", null ], - [ "annihilation_variation", "thermodynamics_8h.html#ae8ad0e0cfdc0249cafd89c117cf17274", null ], - [ "annihilation_z", "thermodynamics_8h.html#ac28c28a96161d9cd5de79197c37453bc", null ], - [ "annihilation_zmax", "thermodynamics_8h.html#a2f3af4a2725b9a48ea5978319e6ab05a", null ], - [ "annihilation_zmin", "thermodynamics_8h.html#ac05844feb6dd9b8f8b23913fe00e5f77", null ], - [ "annihilation_f_halo", "thermodynamics_8h.html#acd516b6887613e52e9ebc3d2616e5b70", null ], - [ "annihilation_z_halo", "thermodynamics_8h.html#a64f8f97a949b86579bdc382a3ab5ae6c", null ], - [ "index_th_xe", "thermodynamics_8h.html#aba1579aad519a4b990438d8a15670b40", null ], - [ "index_th_dkappa", "thermodynamics_8h.html#aea1ea1f3e5c0c64eee3d527b6663e9d5", null ], - [ "index_th_tau_d", "thermodynamics_8h.html#a35e688c8d2c87b79aafbcdae01cef507", null ], - [ "index_th_ddkappa", "thermodynamics_8h.html#abc3d795a1a457805e1f2a3902a6078bb", null ], - [ "index_th_dddkappa", "thermodynamics_8h.html#ab22f97968c1478527c2b1472b257f0a8", null ], - [ "index_th_exp_m_kappa", "thermodynamics_8h.html#ae95f57e24cdaf670e96f68f65bc614b4", null ], - [ "index_th_g", "thermodynamics_8h.html#a21416a8b787d8018a8aa8731e8614af8", null ], - [ "index_th_dg", "thermodynamics_8h.html#aa5ba947ab5a6728b9503f23b3db3c647", null ], - [ "index_th_ddg", "thermodynamics_8h.html#a8d37919b3cee46dc444edb84d8b7b7fc", null ], - [ "index_th_Tb", "thermodynamics_8h.html#a8a5e3cc09ec655767702c0ddc01b51c6", null ], - [ "index_th_cb2", "thermodynamics_8h.html#ab46df5f21130eeee5285e67c4622ad95", null ], - [ "index_th_dcb2", "thermodynamics_8h.html#a88ec417317b2b67874267a57dc9d6e1f", null ], - [ "index_th_ddcb2", "thermodynamics_8h.html#af2235ab4044aead8661b93e444100a62", null ], - [ "index_th_rate", "thermodynamics_8h.html#a039139b2d4e0699b2053236b26b85362", null ], - [ "index_th_r_d", "thermodynamics_8h.html#adaead8e8bf4fda93eb3b22b02741cc53", null ], - [ "th_size", "thermodynamics_8h.html#aeaab853f9c79e1b7f0c516e2034afc5a", null ], - [ "tt_size", "thermodynamics_8h.html#aac7234076d84b798f8b3346d5e76d158", null ], - [ "z_table", "thermodynamics_8h.html#ac26e74ef1fcdbe7c3666dabeff610f12", null ], - [ "thermodynamics_table", "thermodynamics_8h.html#a69b1c0e146bb1813004d1ca8d4be0356", null ], - [ "d2thermodynamics_dz2_table", "thermodynamics_8h.html#a49c943271cb4aac61c94bc319ab29910", null ], - [ "z_rec", "thermodynamics_8h.html#ab66b58fac03cfcd90bf32ce38dae2bb7", null ], - [ "tau_rec", "thermodynamics_8h.html#a58263bc073a96346f1ea034eeb8d66cc", null ], - [ "rs_rec", "thermodynamics_8h.html#a7c76a1b25abab3fe341b07387f5d3475", null ], - [ "ds_rec", "thermodynamics_8h.html#a0b850d5fa4f35c4912a361a2de85b373", null ], - [ "ra_rec", "thermodynamics_8h.html#a5012fed08730754d19a0b748f5904bd2", null ], - [ "da_rec", "thermodynamics_8h.html#a2c58c6c497268309b8d658a7b1ea216f", null ], - [ "rd_rec", "thermodynamics_8h.html#ac4ff58ec97d05ed2f0fe09e6a6d9d7f0", null ], - [ "z_d", "thermodynamics_8h.html#a538b4456df5d31848278443a33358dc2", null ], - [ "tau_d", "thermodynamics_8h.html#ad35ed79fc3351995cd324639d49bf2c5", null ], - [ "ds_d", "thermodynamics_8h.html#af146a478a958c395eea06936778046a6", null ], - [ "rs_d", "thermodynamics_8h.html#a84a5dfe70e2c9e1793ba7620c7ad00fd", null ], - [ "tau_cut", "thermodynamics_8h.html#a40d90d7624f973a3e1ad4f7dd45a6aa4", null ], - [ "angular_rescaling", "thermodynamics_8h.html#aff24e182af74c2aba44ebd261c439a30", null ], - [ "tau_free_streaming", "thermodynamics_8h.html#af00c823bddd68b229494936cdb042205", null ], - [ "tau_ini", "thermodynamics_8h.html#a712e8fca144ea7b0d6053776266b2ac7", null ], - [ "n_e", "thermodynamics_8h.html#a9bff37796a1c0d6271a7fefb97e15b35", null ], - [ "inter_normal", "thermodynamics_8h.html#a11c011eabf1ef83e1a292721c60815ce", null ], - [ "inter_closeby", "thermodynamics_8h.html#a3f57253d7adad511cae405ae0fd9cae1", null ], - [ "thermodynamics_verbose", "thermodynamics_8h.html#aa5cd5143daa64272ade3076ebbd81f52", null ], - [ "error_message", "thermodynamics_8h.html#a68eabc65d6d68d2152e2c0d075e69aea", null ] - ] ], - [ "recombination", "thermodynamics_8h.html#structrecombination", [ - [ "index_re_z", "thermodynamics_8h.html#ab5ad9457e5a9a97d3925adff904e8971", null ], - [ "index_re_xe", "thermodynamics_8h.html#a95860e65cf521feaa5540737c98d6c10", null ], - [ "index_re_Tb", "thermodynamics_8h.html#af6bce690db2626b95cc89bbff1e9041e", null ], - [ "index_re_cb2", "thermodynamics_8h.html#ac1021ee3aee51a9b817dc157743f439e", null ], - [ "index_re_dkappadtau", "thermodynamics_8h.html#a736fa0d9d85df37cd263e52836a2832c", null ], - [ "re_size", "thermodynamics_8h.html#a9367b1aedf6f36715ff227cd4ce8ee05", null ], - [ "rt_size", "thermodynamics_8h.html#a16ae6805bc7bf671fc9ddceb976f9e63", null ], - [ "recombination_table", "thermodynamics_8h.html#ab2f2f15ff77532bddf3052e52ca1df77", null ], - [ "CDB", "thermodynamics_8h.html#a96627d05a1b5c7109755156f1990028d", null ], - [ "CR", "thermodynamics_8h.html#a591a5427ffcfe8cf78ca4c5c3bf33090", null ], - [ "CK", "thermodynamics_8h.html#a0ec602a44c209c88f3890e17f2275004", null ], - [ "CL", "thermodynamics_8h.html#a855a4893fcf363c3932a991748c3146b", null ], - [ "CT", "thermodynamics_8h.html#a4d7f1237951e3466b8f6df1c2f59a864", null ], - [ "fHe", "thermodynamics_8h.html#abd42dddfc07621c1934035dce015ade4", null ], - [ "CDB_He", "thermodynamics_8h.html#abc7c14bfb190b723f1a99e6c4012c025", null ], - [ "CK_He", "thermodynamics_8h.html#a8ba09e03d069a1387f20eebdfe4bfde5", null ], - [ "CL_He", "thermodynamics_8h.html#a0d9b5cad8b15d5b62676fb7215700629", null ], - [ "fu", "thermodynamics_8h.html#ae23d85a5262d4ff6121889e3b38bb4ed", null ], - [ "H_frac", "thermodynamics_8h.html#a02d78534d314296f27b88e36916184cf", null ], - [ "Tnow", "thermodynamics_8h.html#a2b3b40a3f23658c72ef95207cbcbd8c3", null ], - [ "Nnow", "thermodynamics_8h.html#a6fdf4f1d81808b97b351443d663e8811", null ], - [ "Bfact", "thermodynamics_8h.html#a40ba237a0441fef9248e37868e7f71ca", null ], - [ "CB1", "thermodynamics_8h.html#ab95b5c562931dfd60b4cbba24926ea4e", null ], - [ "CB1_He1", "thermodynamics_8h.html#a94ad83481ea0713773b598f47c97985a", null ], - [ "CB1_He2", "thermodynamics_8h.html#a5843798e46e0fe1b87ecae7254eae2af", null ], - [ "H0", "thermodynamics_8h.html#aaca59e2498c91ed2fb9498f0c3f0024a", null ], - [ "YHe", "thermodynamics_8h.html#ab03e0d029be17effdb0a1b9a44ed35df", null ], - [ "annihilation", "thermodynamics_8h.html#a8c70a5cdc49ece851c63fedcf97a1c80", null ], - [ "has_on_the_spot", "thermodynamics_8h.html#a29e62566c5e6b619095da95ee4c2aed0", null ], - [ "decay", "thermodynamics_8h.html#a3c52e95d8a82a4dcfbc9495e708cf044", null ], - [ "annihilation_variation", "thermodynamics_8h.html#a688ab202ff8f75f450ca8a801e9ed073", null ], - [ "annihilation_z", "thermodynamics_8h.html#ab4938be084697ba35a0d0dbe7f5bbda5", null ], - [ "annihilation_zmax", "thermodynamics_8h.html#aaf316776a09b6e67740eeb0c0fee7a9f", null ], - [ "annihilation_zmin", "thermodynamics_8h.html#a5c7c0f6e0a8f2757134337dc90ba1569", null ], - [ "annihilation_f_halo", "thermodynamics_8h.html#a1ffa8b3a0310bbc9a33d6a3e5ecff09a", null ], - [ "annihilation_z_halo", "thermodynamics_8h.html#a694755b3b5b6e2755ef70251335ba276", null ] - ] ], - [ "reionization", "thermodynamics_8h.html#structreionization", [ - [ "index_re_z", "thermodynamics_8h.html#af9ee97caa4f45869edc2fbb37b678125", null ], - [ "index_re_xe", "thermodynamics_8h.html#a495ca44c6e0ef658aba9915b1c9b848f", null ], - [ "index_re_Tb", "thermodynamics_8h.html#a33f283d298003ee0b95cfda1860daa35", null ], - [ "index_re_cb2", "thermodynamics_8h.html#a9c954280df1c66aa9ce310027e5f40f0", null ], - [ "index_re_dkappadtau", "thermodynamics_8h.html#a31e40c647a35a19c1b897c052b851d76", null ], - [ "index_re_dkappadz", "thermodynamics_8h.html#ae70e176cb531f8c78076df0160b4fed1", null ], - [ "index_re_d3kappadz3", "thermodynamics_8h.html#ae48e17df06ae25896d07c577b899e73a", null ], - [ "re_size", "thermodynamics_8h.html#af689627b42e1f4851fff7e20bb5a8ad2", null ], - [ "rt_size", "thermodynamics_8h.html#a51089069ad3214de9588ba7b649b5ec8", null ], - [ "reionization_table", "thermodynamics_8h.html#acfe9475fc19c4af33306dcb24954c68f", null ], - [ "reionization_optical_depth", "thermodynamics_8h.html#a2d0bb67beb4bffe6b6e4c07c50ea05b4", null ], - [ "index_reio_redshift", "thermodynamics_8h.html#a808b9b45f27f3a7769368aa2443bdcd5", null ], - [ "index_reio_exponent", "thermodynamics_8h.html#ac9e218ca7c045aef0b22e740b10d7e21", null ], - [ "index_reio_width", "thermodynamics_8h.html#aefe9593675372d78b1c101be3b07e568", null ], - [ "index_reio_xe_before", "thermodynamics_8h.html#ad8b561135f954387adbbf151f66730ac", null ], - [ "index_reio_xe_after", "thermodynamics_8h.html#a74df9fdfa77a7b44848d3b55b759943e", null ], - [ "index_helium_fullreio_fraction", "thermodynamics_8h.html#a0ac53466d05be75908b9d2fb604cafeb", null ], - [ "index_helium_fullreio_redshift", "thermodynamics_8h.html#a2e3bfbcd86b070e7ed8bfc206d4caa66", null ], - [ "index_helium_fullreio_width", "thermodynamics_8h.html#ae8a43e7dc408dc75d9326f17ee47f7de", null ], - [ "reio_num_z", "thermodynamics_8h.html#ad19f164a09a190e6d34f46331750e61c", null ], - [ "index_reio_first_z", "thermodynamics_8h.html#a956460dd8f305550f59a08daee633bca", null ], - [ "index_reio_first_xe", "thermodynamics_8h.html#a09078233ff029c56f863eda41ebe21d7", null ], - [ "index_reio_step_sharpness", "thermodynamics_8h.html#a148ebf436a417705c814bf2fd4fe0811", null ], - [ "index_reio_start", "thermodynamics_8h.html#a788ce69bf56161cb1206a3dc424cd937", null ], - [ "reionization_parameters", "thermodynamics_8h.html#ab9f4cf65a7935f25ed0c9a504ed8c29e", null ], - [ "reio_num_params", "thermodynamics_8h.html#a257eb4f1d42be0cc0f3f3a95104b41be", null ], - [ "index_reco_when_reio_start", "thermodynamics_8h.html#a30f0d1b6c4446e56137d17ebe95fda72", null ] - ] ], - [ "thermodynamics_parameters_and_workspace", "thermodynamics_8h.html#structthermodynamics__parameters__and__workspace", null ], - [ "f1", "thermodynamics_8h.html#af26abb8c819fd3cf4d6cb0711c80b9ee", null ], - [ "f2", "thermodynamics_8h.html#a5cd67c8452696b8eebb34709acc71f36", null ], - [ "_YHE_BIG_", "thermodynamics_8h.html#acbafc70129dd9657b0377735e5cd99e1", null ], - [ "_YHE_SMALL_", "thermodynamics_8h.html#a8fbd5bfe2788808e5f3df7c24ce9173d", null ], - [ "recombination_algorithm", "thermodynamics_8h.html#a244f4d3fb288b63e3f02cc0a0c7961e3", null ], - [ "reionization_parametrization", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0", [ - [ "reio_none", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a224e2258e42ac1cc1eddb8add797438a", null ], - [ "reio_camb", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a38ef48278eabc04a3f5b806d5a074fce", null ], - [ "reio_bins_tanh", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a22baab4ed53435181db772e319c4d1a5", null ], - [ "reio_half_tanh", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af5db0c1f643a3a0dd43c6c80cc7aae21", null ], - [ "reio_many_tanh", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0af8638eafa2d275e504aaeb975e388718", null ], - [ "reio_inter", "thermodynamics_8h.html#a355aa0469515c247f71668a5be5f4cc0a80f6b4795200054b5db2b4e5bc553505", null ] - ] ], - [ "reionization_z_or_tau", "thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0", [ - [ "reio_z", "thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a1612a14c9af1b5a5e092580c8cdb1c7a", null ], - [ "reio_tau", "thermodynamics_8h.html#abfa56c8448beea105d10a6e89742e3a0a9f890480f05a227d5dd8377011c44a10", null ] - ] ] -]; \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8h__dep__incl.map b/doc/manual/html/thermodynamics_8h__dep__incl.map deleted file mode 100644 index 6557358a..00000000 --- a/doc/manual/html/thermodynamics_8h__dep__incl.map +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8h__dep__incl.md5 b/doc/manual/html/thermodynamics_8h__dep__incl.md5 deleted file mode 100644 index b3df0dca..00000000 --- a/doc/manual/html/thermodynamics_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -d7549159ec58b9d718bb2c41963cb68f \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8h__dep__incl.png b/doc/manual/html/thermodynamics_8h__dep__incl.png deleted file mode 100644 index b1eea173..00000000 Binary files a/doc/manual/html/thermodynamics_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8h__incl.map b/doc/manual/html/thermodynamics_8h__incl.map deleted file mode 100644 index 1e243c16..00000000 --- a/doc/manual/html/thermodynamics_8h__incl.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/thermodynamics_8h__incl.md5 b/doc/manual/html/thermodynamics_8h__incl.md5 deleted file mode 100644 index 979822c8..00000000 --- a/doc/manual/html/thermodynamics_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -1913712daedcc584d8582cdb4d861355 \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8h__incl.png b/doc/manual/html/thermodynamics_8h__incl.png deleted file mode 100644 index 4496e92e..00000000 Binary files a/doc/manual/html/thermodynamics_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/thermodynamics_8h_source.html b/doc/manual/html/thermodynamics_8h_source.html deleted file mode 100644 index 1aba0268..00000000 --- a/doc/manual/html/thermodynamics_8h_source.html +++ /dev/null @@ -1,265 +0,0 @@ - - - - - - - -CLASS MANUAL: thermodynamics.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    thermodynamics.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __THERMODYNAMICS__
    4 #define __THERMODYNAMICS__
    5 
    6 #include "background.h"
    7 //#include "arrays.h"
    8 //#include "helium.h"
    9 //#include "hydrogen.h"
    10 
    15 enum recombination_algorithm {
    16  recfast,
    17  hyrec
    18 };
    19 
    24 enum reionization_parametrization {
    25  reio_none,
    26  reio_camb,
    27  reio_bins_tanh,
    28  reio_half_tanh,
    29  reio_many_tanh,
    30  reio_inter
    31 };
    32 
    37 enum reionization_z_or_tau {
    38  reio_z,
    39  reio_tau
    40 };
    41 
    46 #define f1(x) (-0.75*x*(x*x/3.-1.)+0.5)
    47 #define f2(x) (x*x*(0.5-x/3.)*6.)
    58 struct thermo
    59 {
    65 
    66  double YHe;
    68  enum recombination_algorithm recombination;
    70  enum reionization_parametrization reio_parametrization;
    72  enum reionization_z_or_tau reio_z_or_tau;
    74  double tau_reio;
    76  double z_reio;
    78  short compute_cb2_derivatives;
    80  short compute_damping_scale;
    84  double reionization_width;
    86  double reionization_exponent;
    88  double helium_fullreio_redshift;
    90  double helium_fullreio_width;
    94  int binned_reio_num;
    96  double * binned_reio_z;
    98  double * binned_reio_xe;
    100  double binned_reio_step_sharpness;
    104  int many_tanh_num;
    106  double * many_tanh_z;
    108  double * many_tanh_xe;
    110  double many_tanh_width;
    114  int reio_inter_num;
    116  double * reio_inter_z;
    118  double * reio_inter_xe;
    122  double annihilation;
    124  short has_on_the_spot;
    126  double decay;
    128  double annihilation_variation;
    138  double annihilation_z;
    143  double annihilation_zmax;
    147  double annihilation_zmin;
    151  double annihilation_f_halo;
    152  double annihilation_z_halo;
    155 
    159 
    160  int index_th_xe;
    161  int index_th_dkappa;
    162  int index_th_tau_d;
    163  int index_th_ddkappa;
    164  int index_th_dddkappa;
    165  int index_th_exp_m_kappa;
    166  int index_th_g;
    167  int index_th_dg;
    168  int index_th_ddg;
    169  int index_th_Tb;
    170  int index_th_cb2;
    171  int index_th_dcb2;
    172  int index_th_ddcb2;
    173  int index_th_rate;
    174  int index_th_r_d;
    175  int th_size;
    178 
    182 
    183  int tt_size;
    184  double * z_table;
    185  double * thermodynamics_table;
    188 
    192 
    193  double * d2thermodynamics_dz2_table;
    196 
    197 
    201 
    202  double z_rec;
    203  double tau_rec;
    204  double rs_rec;
    205  double ds_rec;
    206  double ra_rec;
    207  double da_rec;
    208  double rd_rec;
    209  double z_d;
    210  double tau_d;
    211  double ds_d;
    212  double rs_d;
    213  double tau_cut;
    214  double angular_rescaling;
    215  double tau_free_streaming;
    218 
    222 
    223  double tau_ini;
    226 
    230 
    231  double n_e;
    234 
    240 
    241  short inter_normal;
    242  short inter_closeby;
    245 
    249 
    250  short thermodynamics_verbose;
    252  ErrorMsg error_message;
    255 
    256 };
    257 
    265 struct recombination {
    266 
    270 
    271  int index_re_z;
    272  int index_re_xe;
    273  int index_re_Tb;
    274  int index_re_cb2;
    275  int index_re_dkappadtau;
    276  int re_size;
    279 
    283 
    284  int rt_size;
    285  double * recombination_table;
    288 
    293 
    294  double CDB;
    295  double CR;
    296  double CK;
    297  double CL;
    298  double CT;
    299  double fHe;
    300  double CDB_He;
    301  double CK_He;
    302  double CL_He;
    303  double fu;
    304  double H_frac;
    305  double Tnow;
    306  double Nnow;
    307  double Bfact;
    308  double CB1;
    309  double CB1_He1;
    310  double CB1_He2;
    311  double H0;
    312  double YHe;
    314  /* parameters for energy injection */
    315 
    316  double annihilation;
    318  short has_on_the_spot;
    320  double decay;
    322  double annihilation_variation;
    332  double annihilation_z;
    337  double annihilation_zmax;
    341  double annihilation_zmin;
    345  double annihilation_f_halo;
    346  double annihilation_z_halo;
    349 
    350 };
    351 
    359 struct reionization {
    360 
    364 
    365  int index_re_z;
    366  int index_re_xe;
    367  int index_re_Tb;
    368  int index_re_cb2;
    369  int index_re_dkappadtau;
    370  int index_re_dkappadz;
    371  int index_re_d3kappadz3;
    372  int re_size;
    375 
    379 
    380  int rt_size;
    381  double * reionization_table;
    384 
    388 
    389  double reionization_optical_depth;
    392 
    396 
    397  /* parameters used by reio_camb */
    398 
    399  int index_reio_redshift;
    400  int index_reio_exponent;
    401  int index_reio_width;
    402  int index_reio_xe_before;
    403  int index_reio_xe_after;
    404  int index_helium_fullreio_fraction;
    405  int index_helium_fullreio_redshift;
    406  int index_helium_fullreio_width;
    408  /* parameters used by reio_bins_tanh, reio_many_tanh, reio_inter */
    409 
    410  int reio_num_z;
    411  int index_reio_first_z;
    412  int index_reio_first_xe;
    413  int index_reio_step_sharpness;
    415  /* parameters used by all schemes */
    416 
    417  int index_reio_start;
    420 
    423  double * reionization_parameters;
    424  int reio_num_params;
    427 
    431 
    432  int index_reco_when_reio_start;
    435 
    436 };
    437 
    442 struct thermodynamics_parameters_and_workspace {
    443 
    444  /* structures containing fixed input parameters (indices, ...) */
    445  struct background * pba;
    446  struct precision * ppr;
    447  struct recombination * preco;
    448 
    449  /* workspace */
    450  double * pvecback;
    451 
    452 };
    453 
    454 /**************************************************************/
    455 /* @cond INCLUDE_WITH_DOXYGEN */
    456 /*
    457  * Boilerplate for C++
    458  */
    459 #ifdef __cplusplus
    460 extern "C" {
    461 #endif
    462 
    463  int thermodynamics_at_z(
    464  struct background * pba,
    465  struct thermo * pth,
    466  double z,
    467  short inter_mode,
    468  int * last_index,
    469  double * pvecback,
    470  double * pvecthermo
    471  );
    472 
    473  int thermodynamics_init(
    474  struct precision * ppr,
    475  struct background * pba,
    476  struct thermo * pth
    477  );
    478 
    479  int thermodynamics_free(
    480  struct thermo * pthermo
    481  );
    482 
    483  int thermodynamics_indices(
    484  struct thermo * pthermo,
    485  struct recombination * preco,
    486  struct reionization * preio
    487  );
    488 
    489  int thermodynamics_helium_from_bbn(
    490  struct precision * ppr,
    491  struct background * pba,
    492  struct thermo * pth
    493  );
    494 
    495  int thermodynamics_onthespot_energy_injection(
    496  struct precision * ppr,
    497  struct background * pba,
    498  struct recombination * preco,
    499  double z,
    500  double * energy_rate,
    501  ErrorMsg error_message
    502  );
    503 
    504  int thermodynamics_energy_injection(
    505  struct precision * ppr,
    506  struct background * pba,
    507  struct recombination * preco,
    508  double z,
    509  double * energy_rate,
    510  ErrorMsg error_message
    511  );
    512 
    513  int thermodynamics_reionization_function(
    514  double z,
    515  struct thermo * pth,
    516  struct reionization * preio,
    517  double * xe
    518  );
    519 
    520  int thermodynamics_reionization(
    521  struct precision * ppr,
    522  struct background * pba,
    523  struct thermo * pth,
    524  struct recombination * preco,
    525  struct reionization * preio,
    526  double * pvecback
    527  );
    528 
    529  int thermodynamics_reionization_sample(
    530  struct precision * ppr,
    531  struct background * pba,
    532  struct thermo * pth,
    533  struct recombination * preco,
    534  struct reionization * preio,
    535  double * pvecback
    536  );
    537 
    538  int thermodynamics_get_xe_before_reionization(
    539  struct precision * ppr,
    540  struct thermo * pth,
    541  struct recombination * preco,
    542  double z,
    543  double * xe);
    544 
    545  int thermodynamics_recombination(
    546  struct precision * ppr,
    547  struct background * pba,
    548  struct thermo * pth,
    549  struct recombination * prec,
    550  double * pvecback
    551  );
    552 
    553  int thermodynamics_recombination_with_hyrec(
    554  struct precision * ppr,
    555  struct background * pba,
    556  struct thermo * pth,
    557  struct recombination * prec,
    558  double * pvecback
    559  );
    560 
    561  int thermodynamics_recombination_with_recfast(
    562  struct precision * ppr,
    563  struct background * pba,
    564  struct thermo * pth,
    565  struct recombination * prec,
    566  double * pvecback
    567  );
    568 
    569  int thermodynamics_derivs_with_recfast(
    570  double z,
    571  double * y,
    572  double * dy,
    573  void * fixed_parameters,
    574  ErrorMsg error_message
    575  );
    576 
    577  int thermodynamics_merge_reco_and_reio(
    578  struct precision * ppr,
    579  struct thermo * pth,
    580  struct recombination * preco,
    581  struct reionization * preio
    582  );
    583 
    584  int thermodynamics_output_titles(struct background * pba,
    585  struct thermo *pth,
    586  char titles[_MAXTITLESTRINGLENGTH_]
    587  );
    588 
    589  int thermodynamics_output_data(struct background * pba,
    590  struct thermo *pth,
    591  int number_of_titles,
    592  double *data
    593  );
    594 
    595  int thermodynamics_tanh(double x,
    596  double center,
    597  double before,
    598  double after,
    599  double width,
    600  double * result);
    601 
    602 #ifdef __cplusplus
    603 }
    604 #endif
    605 
    606 /**************************************************************/
    607 
    613 
    614 #define _BBN_ -1
    615 
    617 
    623 
    624 #define _m_e_ 9.10938215e-31
    625 #define _m_p_ 1.672621637e-27
    626 #define _m_H_ 1.673575e-27
    627 #define _not4_ 3.9715
    628 #define _sigma_ 6.6524616e-29
    631 
    632 
    637 
    638 #define _RECFAST_INTEG_SIZE_ 3
    639 
    640 #define _Lambda_ 8.2245809
    641 #define _Lambda_He_ 51.3
    642 #define _L_H_ion_ 1.096787737e7
    643 #define _L_H_alpha_ 8.225916453e6
    644 #define _L_He1_ion_ 1.98310772e7
    645 #define _L_He2_ion_ 4.389088863e7
    646 #define _L_He_2s_ 1.66277434e7
    647 #define _L_He_2p_ 1.71134891e7
    648 #define _A2P_s_ 1.798287e9 /*updated like in recfast 1.4*/
    649 #define _A2P_t_ 177.58e0 /*updated like in recfast 1.4*/
    650 #define _L_He_2Pt_ 1.690871466e7 /*updated like in recfast 1.4*/
    651 #define _L_He_2St_ 1.5985597526e7 /*updated like in recfast 1.4*/
    652 #define _L_He2St_ion_ 3.8454693845e6 /*updated like in recfast 1.4*/
    653 #define _sigma_He_2Ps_ 1.436289e-22 /*updated like in recfast 1.4*/
    654 #define _sigma_He_2Pt_ 1.484872e-22 /*updated like in recfast 1.4*/
    655 
    657 
    663 
    664 #define _a_PPB_ 4.309
    665 #define _b_PPB_ -0.6166
    666 #define _c_PPB_ 0.6703
    667 #define _d_PPB_ 0.5300
    668 #define _T_0_ pow(10.,0.477121) /* from recfast 1.4 */
    669 #define _a_VF_ pow(10.,-16.744)
    670 #define _b_VF_ 0.711
    671 #define _T_1_ pow(10.,5.114)
    672 #define _a_trip_ pow(10.,-16.306) /* from recfast 1.4 */
    673 #define _b_trip_ 0.761 /* from recfast 1.4 */
    674 
    676 
    680 /* @endcond */
    682 
    683 #define _YHE_BIG_ 0.5
    684 #define _YHE_SMALL_ 0.01
    685 #define _Z_REC_MAX_ 2000.
    686 #define _Z_REC_MIN_ 500.
    687 
    689 
    690 #endif
    reionization::index_re_cb2
    int index_re_cb2
    Definition: thermodynamics.h:368
    -
    thermodynamics_merge_reco_and_reio
    int thermodynamics_merge_reco_and_reio(struct precision *ppr, struct thermo *pth, struct recombination *preco, struct reionization *preio)
    Definition: thermodynamics.c:3608
    -
    recombination::has_on_the_spot
    short has_on_the_spot
    Definition: thermodynamics.h:318
    -
    thermo::inter_normal
    short inter_normal
    Definition: thermodynamics.h:241
    -
    thermo::rs_rec
    double rs_rec
    Definition: thermodynamics.h:204
    -
    thermo::tau_ini
    double tau_ini
    Definition: thermodynamics.h:223
    -
    reionization::index_re_dkappadtau
    int index_re_dkappadtau
    Definition: thermodynamics.h:369
    -
    recombination::CB1_He2
    double CB1_He2
    Definition: thermodynamics.h:310
    -
    thermo::index_th_tau_d
    int index_th_tau_d
    Definition: thermodynamics.h:162
    -
    recombination::CB1_He1
    double CB1_He1
    Definition: thermodynamics.h:309
    -
    background
    Definition: background.h:31
    -
    thermo::index_th_ddcb2
    int index_th_ddcb2
    Definition: thermodynamics.h:172
    -
    thermo::da_rec
    double da_rec
    Definition: thermodynamics.h:207
    -
    reionization::rt_size
    int rt_size
    Definition: thermodynamics.h:380
    -
    reionization::index_reio_width
    int index_reio_width
    Definition: thermodynamics.h:401
    -
    recombination::index_re_xe
    int index_re_xe
    Definition: thermodynamics.h:272
    -
    recombination::CDB_He
    double CDB_He
    Definition: thermodynamics.h:300
    -
    reio_bins_tanh
    Definition: thermodynamics.h:27
    -
    reionization_z_or_tau
    reionization_z_or_tau
    Definition: thermodynamics.h:37
    -
    thermo::index_th_dddkappa
    int index_th_dddkappa
    Definition: thermodynamics.h:164
    -
    reionization::index_reio_first_z
    int index_reio_first_z
    Definition: thermodynamics.h:411
    -
    thermo::tau_free_streaming
    double tau_free_streaming
    Definition: thermodynamics.h:215
    -
    recombination::decay
    double decay
    Definition: thermodynamics.h:320
    -
    reionization::index_reio_first_xe
    int index_reio_first_xe
    Definition: thermodynamics.h:412
    -
    thermo::th_size
    int th_size
    Definition: thermodynamics.h:175
    -
    reionization::index_re_Tb
    int index_re_Tb
    Definition: thermodynamics.h:367
    -
    thermo::annihilation_zmax
    double annihilation_zmax
    Definition: thermodynamics.h:143
    -
    reionization::index_reio_step_sharpness
    int index_reio_step_sharpness
    Definition: thermodynamics.h:413
    -
    thermodynamics_indices
    int thermodynamics_indices(struct thermo *pth, struct recombination *preco, struct reionization *preio)
    Definition: thermodynamics.c:874
    -
    reionization::re_size
    int re_size
    Definition: thermodynamics.h:372
    -
    recombination::annihilation
    double annihilation
    Definition: thermodynamics.h:316
    -
    recombination::CT
    double CT
    Definition: thermodynamics.h:298
    -
    thermo::reionization_width
    double reionization_width
    Definition: thermodynamics.h:84
    -
    thermo::error_message
    ErrorMsg error_message
    Definition: thermodynamics.h:252
    -
    thermodynamics_reionization_function
    int thermodynamics_reionization_function(double z, struct thermo *pth, struct reionization *preio, double *xe)
    Definition: thermodynamics.c:1451
    -
    recombination::Tnow
    double Tnow
    Definition: thermodynamics.h:305
    -
    reio_camb
    Definition: thermodynamics.h:26
    -
    thermo::ds_rec
    double ds_rec
    Definition: thermodynamics.h:205
    -
    thermo::annihilation_variation
    double annihilation_variation
    Definition: thermodynamics.h:128
    -
    thermo::YHe
    double YHe
    Definition: thermodynamics.h:66
    -
    thermo
    Definition: thermodynamics.h:58
    -
    recombination::index_re_cb2
    int index_re_cb2
    Definition: thermodynamics.h:274
    -
    reio_inter
    Definition: thermodynamics.h:30
    -
    thermodynamics_free
    int thermodynamics_free(struct thermo *pth)
    Definition: thermodynamics.c:852
    -
    reionization_parametrization
    reionization_parametrization
    Definition: thermodynamics.h:24
    -
    recombination::re_size
    int re_size
    Definition: thermodynamics.h:276
    -
    recombination::CK_He
    double CK_He
    Definition: thermodynamics.h:301
    -
    thermo::annihilation_z
    double annihilation_z
    Definition: thermodynamics.h:138
    -
    thermo::index_th_dg
    int index_th_dg
    Definition: thermodynamics.h:167
    -
    recombination::CK
    double CK
    Definition: thermodynamics.h:296
    -
    thermo::n_e
    double n_e
    Definition: thermodynamics.h:231
    -
    thermo::z_d
    double z_d
    Definition: thermodynamics.h:209
    -
    thermo::index_th_xe
    int index_th_xe
    Definition: thermodynamics.h:160
    -
    thermodynamics_init
    int thermodynamics_init(struct precision *ppr, struct background *pba, struct thermo *pth)
    Definition: thermodynamics.c:252
    -
    reionization::index_reio_xe_after
    int index_reio_xe_after
    Definition: thermodynamics.h:403
    -
    reio_many_tanh
    Definition: thermodynamics.h:29
    -
    thermo::tau_rec
    double tau_rec
    Definition: thermodynamics.h:203
    -
    reionization::index_re_z
    int index_re_z
    Definition: thermodynamics.h:365
    -
    thermodynamics_get_xe_before_reionization
    int thermodynamics_get_xe_before_reionization(struct precision *ppr, struct thermo *pth, struct recombination *preco, double z, double *xe)
    Definition: thermodynamics.c:1690
    -
    thermo::has_on_the_spot
    short has_on_the_spot
    Definition: thermodynamics.h:124
    -
    thermo::index_th_r_d
    int index_th_r_d
    Definition: thermodynamics.h:174
    -
    thermodynamics_helium_from_bbn
    int thermodynamics_helium_from_bbn(struct precision *ppr, struct background *pba, struct thermo *pth)
    Definition: thermodynamics.c:1071
    -
    thermo::angular_rescaling
    double angular_rescaling
    Definition: thermodynamics.h:214
    -
    thermo::thermodynamics_table
    double * thermodynamics_table
    Definition: thermodynamics.h:185
    -
    thermodynamics_recombination_with_recfast
    int thermodynamics_recombination_with_recfast(struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
    Definition: thermodynamics.c:2949
    -
    recombination::fHe
    double fHe
    Definition: thermodynamics.h:299
    -
    recombination::annihilation_z
    double annihilation_z
    Definition: thermodynamics.h:332
    -
    thermodynamics_at_z
    int thermodynamics_at_z(struct background *pba, struct thermo *pth, double z, short inter_mode, int *last_index, double *pvecback, double *pvecthermo)
    Definition: thermodynamics.c:97
    -
    thermo::index_th_ddg
    int index_th_ddg
    Definition: thermodynamics.h:168
    -
    recombination::annihilation_zmax
    double annihilation_zmax
    Definition: thermodynamics.h:337
    -
    thermodynamics_parameters_and_workspace
    Definition: thermodynamics.h:442
    -
    recombination::index_re_Tb
    int index_re_Tb
    Definition: thermodynamics.h:273
    -
    thermodynamics_derivs_with_recfast
    int thermodynamics_derivs_with_recfast(double z, double *y, double *dy, void *parameters_and_workspace, ErrorMsg error_message)
    Definition: thermodynamics.c:3344
    -
    thermo::z_table
    double * z_table
    Definition: thermodynamics.h:184
    -
    recombination::index_re_z
    int index_re_z
    Definition: thermodynamics.h:271
    -
    reionization::reionization_table
    double * reionization_table
    Definition: thermodynamics.h:381
    -
    recombination::CDB
    double CDB
    Definition: thermodynamics.h:294
    -
    reionization::index_reio_xe_before
    int index_reio_xe_before
    Definition: thermodynamics.h:402
    -
    thermo::ds_d
    double ds_d
    Definition: thermodynamics.h:211
    -
    thermo::annihilation_f_halo
    double annihilation_f_halo
    Definition: thermodynamics.h:151
    -
    thermo::rs_d
    double rs_d
    Definition: thermodynamics.h:212
    -
    thermo::index_th_Tb
    int index_th_Tb
    Definition: thermodynamics.h:169
    -
    recombination::YHe
    double YHe
    Definition: thermodynamics.h:312
    -
    thermo::index_th_g
    int index_th_g
    Definition: thermodynamics.h:166
    -
    thermo::d2thermodynamics_dz2_table
    double * d2thermodynamics_dz2_table
    Definition: thermodynamics.h:193
    -
    thermo::index_th_exp_m_kappa
    int index_th_exp_m_kappa
    Definition: thermodynamics.h:165
    -
    reio_tau
    Definition: thermodynamics.h:39
    - -
    reionization::index_reio_exponent
    int index_reio_exponent
    Definition: thermodynamics.h:400
    -
    thermo::index_th_ddkappa
    int index_th_ddkappa
    Definition: thermodynamics.h:163
    -
    thermo::tau_reio
    double tau_reio
    Definition: thermodynamics.h:74
    -
    thermo::annihilation
    double annihilation
    Definition: thermodynamics.h:122
    -
    thermo::compute_cb2_derivatives
    short compute_cb2_derivatives
    Definition: thermodynamics.h:78
    -
    reionization::index_reio_start
    int index_reio_start
    Definition: thermodynamics.h:417
    -
    recombination::annihilation_f_halo
    double annihilation_f_halo
    Definition: thermodynamics.h:345
    -
    reionization::index_reco_when_reio_start
    int index_reco_when_reio_start
    Definition: thermodynamics.h:432
    -
    reio_half_tanh
    Definition: thermodynamics.h:28
    -
    thermo::tau_cut
    double tau_cut
    Definition: thermodynamics.h:213
    -
    reionization::index_helium_fullreio_fraction
    int index_helium_fullreio_fraction
    Definition: thermodynamics.h:404
    -
    reionization::index_helium_fullreio_redshift
    int index_helium_fullreio_redshift
    Definition: thermodynamics.h:405
    -
    thermo::reionization_exponent
    double reionization_exponent
    Definition: thermodynamics.h:86
    -
    thermodynamics_reionization
    int thermodynamics_reionization(struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, struct reionization *preio, double *pvecback)
    Definition: thermodynamics.c:1733
    -
    thermo::helium_fullreio_width
    double helium_fullreio_width
    Definition: thermodynamics.h:90
    -
    thermo::binned_reio_xe
    double * binned_reio_xe
    Definition: thermodynamics.h:98
    -
    reio_none
    Definition: thermodynamics.h:25
    -
    reionization
    Definition: thermodynamics.h:359
    -
    thermo::reio_inter_xe
    double * reio_inter_xe
    Definition: thermodynamics.h:118
    -
    thermo::annihilation_zmin
    double annihilation_zmin
    Definition: thermodynamics.h:147
    -
    thermo::binned_reio_z
    double * binned_reio_z
    Definition: thermodynamics.h:96
    -
    recombination
    Definition: thermodynamics.h:265
    -
    recombination::annihilation_variation
    double annihilation_variation
    Definition: thermodynamics.h:322
    -
    reionization::reionization_parameters
    double * reionization_parameters
    Definition: thermodynamics.h:423
    -
    thermodynamics_onthespot_energy_injection
    int thermodynamics_onthespot_energy_injection(struct precision *ppr, struct background *pba, struct recombination *preco, double z, double *energy_rate, ErrorMsg error_message)
    Definition: thermodynamics.c:1296
    -
    recombination::CL_He
    double CL_He
    Definition: thermodynamics.h:302
    -
    thermo::ra_rec
    double ra_rec
    Definition: thermodynamics.h:206
    -
    reionization::index_reio_redshift
    int index_reio_redshift
    Definition: thermodynamics.h:399
    -
    thermo::annihilation_z_halo
    double annihilation_z_halo
    Definition: thermodynamics.h:152
    -
    thermo::many_tanh_z
    double * many_tanh_z
    Definition: thermodynamics.h:106
    -
    thermo::index_th_rate
    int index_th_rate
    Definition: thermodynamics.h:173
    -
    recombination_algorithm
    recombination_algorithm
    Definition: thermodynamics.h:15
    -
    thermo::rd_rec
    double rd_rec
    Definition: thermodynamics.h:208
    -
    thermo::z_rec
    double z_rec
    Definition: thermodynamics.h:202
    -
    reionization::index_helium_fullreio_width
    int index_helium_fullreio_width
    Definition: thermodynamics.h:406
    -
    reionization::index_re_xe
    int index_re_xe
    Definition: thermodynamics.h:366
    -
    thermo::index_th_cb2
    int index_th_cb2
    Definition: thermodynamics.h:170
    -
    recombination::CB1
    double CB1
    Definition: thermodynamics.h:308
    -
    thermo::index_th_dcb2
    int index_th_dcb2
    Definition: thermodynamics.h:171
    -
    reio_z
    Definition: thermodynamics.h:38
    -
    recombination::H0
    double H0
    Definition: thermodynamics.h:311
    -
    thermo::compute_damping_scale
    short compute_damping_scale
    Definition: thermodynamics.h:80
    -
    recombination::CR
    double CR
    Definition: thermodynamics.h:295
    -
    thermo::reio_inter_num
    int reio_inter_num
    Definition: thermodynamics.h:114
    -
    reionization::index_re_dkappadz
    int index_re_dkappadz
    Definition: thermodynamics.h:370
    -
    thermo::index_th_dkappa
    int index_th_dkappa
    Definition: thermodynamics.h:161
    -
    recombination::annihilation_zmin
    double annihilation_zmin
    Definition: thermodynamics.h:341
    -
    recombination::recombination_table
    double * recombination_table
    Definition: thermodynamics.h:285
    -
    thermodynamics_recombination
    int thermodynamics_recombination(struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
    Definition: thermodynamics.c:2591
    -
    reionization::reio_num_params
    int reio_num_params
    Definition: thermodynamics.h:424
    -
    precision
    Definition: common.h:345
    -
    recombination::fu
    double fu
    Definition: thermodynamics.h:303
    -
    recombination::H_frac
    double H_frac
    Definition: thermodynamics.h:304
    -
    thermodynamics_recombination_with_hyrec
    int thermodynamics_recombination_with_hyrec(struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, double *pvecback)
    Definition: thermodynamics.c:2640
    -
    recombination::Nnow
    double Nnow
    Definition: thermodynamics.h:306
    -
    thermodynamics_energy_injection
    int thermodynamics_energy_injection(struct precision *ppr, struct background *pba, struct recombination *preco, double z, double *energy_rate, ErrorMsg error_message)
    Definition: thermodynamics.c:1360
    -
    thermo::z_reio
    double z_reio
    Definition: thermodynamics.h:76
    -
    thermo::thermodynamics_verbose
    short thermodynamics_verbose
    Definition: thermodynamics.h:250
    -
    recombination::Bfact
    double Bfact
    Definition: thermodynamics.h:307
    -
    thermo::many_tanh_xe
    double * many_tanh_xe
    Definition: thermodynamics.h:108
    -
    thermo::binned_reio_num
    int binned_reio_num
    Definition: thermodynamics.h:94
    -
    thermo::reio_inter_z
    double * reio_inter_z
    Definition: thermodynamics.h:116
    -
    thermo::binned_reio_step_sharpness
    double binned_reio_step_sharpness
    Definition: thermodynamics.h:100
    -
    recombination::annihilation_z_halo
    double annihilation_z_halo
    Definition: thermodynamics.h:346
    -
    thermodynamics_reionization_sample
    int thermodynamics_reionization_sample(struct precision *ppr, struct background *pba, struct thermo *pth, struct recombination *preco, struct reionization *preio, double *pvecback)
    Definition: thermodynamics.c:2263
    -
    thermodynamics_output_titles
    int thermodynamics_output_titles(struct background *pba, struct thermo *pth, char titles[_MAXTITLESTRINGLENGTH_])
    Definition: thermodynamics.c:3683
    -
    recombination::rt_size
    int rt_size
    Definition: thermodynamics.h:284
    -
    reionization::reionization_optical_depth
    double reionization_optical_depth
    Definition: thermodynamics.h:389
    -
    thermo::decay
    double decay
    Definition: thermodynamics.h:126
    -
    thermo::inter_closeby
    short inter_closeby
    Definition: thermodynamics.h:242
    -
    thermo::many_tanh_width
    double many_tanh_width
    Definition: thermodynamics.h:110
    -
    recombination::CL
    double CL
    Definition: thermodynamics.h:297
    -
    recombination::index_re_dkappadtau
    int index_re_dkappadtau
    Definition: thermodynamics.h:275
    -
    thermo::tau_d
    double tau_d
    Definition: thermodynamics.h:210
    -
    reionization::reio_num_z
    int reio_num_z
    Definition: thermodynamics.h:410
    -
    thermo::tt_size
    int tt_size
    Definition: thermodynamics.h:183
    -
    reionization::index_re_d3kappadz3
    int index_re_d3kappadz3
    Definition: thermodynamics.h:371
    -
    thermo::helium_fullreio_redshift
    double helium_fullreio_redshift
    Definition: thermodynamics.h:88
    -
    thermo::many_tanh_num
    int many_tanh_num
    Definition: thermodynamics.h:104
    -
    -
    - - - - diff --git a/doc/manual/html/thermodynamics_8h_structrecombination.js b/doc/manual/html/thermodynamics_8h_structrecombination.js deleted file mode 100644 index b1c0bdd5..00000000 --- a/doc/manual/html/thermodynamics_8h_structrecombination.js +++ /dev/null @@ -1,39 +0,0 @@ -var thermodynamics_8h_structrecombination = -[ - [ "index_re_z", "thermodynamics_8h.html#ab5ad9457e5a9a97d3925adff904e8971", null ], - [ "index_re_xe", "thermodynamics_8h.html#a95860e65cf521feaa5540737c98d6c10", null ], - [ "index_re_Tb", "thermodynamics_8h.html#af6bce690db2626b95cc89bbff1e9041e", null ], - [ "index_re_cb2", "thermodynamics_8h.html#ac1021ee3aee51a9b817dc157743f439e", null ], - [ "index_re_dkappadtau", "thermodynamics_8h.html#a736fa0d9d85df37cd263e52836a2832c", null ], - [ "re_size", "thermodynamics_8h.html#a9367b1aedf6f36715ff227cd4ce8ee05", null ], - [ "rt_size", "thermodynamics_8h.html#a16ae6805bc7bf671fc9ddceb976f9e63", null ], - [ "recombination_table", "thermodynamics_8h.html#ab2f2f15ff77532bddf3052e52ca1df77", null ], - [ "CDB", "thermodynamics_8h.html#a96627d05a1b5c7109755156f1990028d", null ], - [ "CR", "thermodynamics_8h.html#a591a5427ffcfe8cf78ca4c5c3bf33090", null ], - [ "CK", "thermodynamics_8h.html#a0ec602a44c209c88f3890e17f2275004", null ], - [ "CL", "thermodynamics_8h.html#a855a4893fcf363c3932a991748c3146b", null ], - [ "CT", "thermodynamics_8h.html#a4d7f1237951e3466b8f6df1c2f59a864", null ], - [ "fHe", "thermodynamics_8h.html#abd42dddfc07621c1934035dce015ade4", null ], - [ "CDB_He", "thermodynamics_8h.html#abc7c14bfb190b723f1a99e6c4012c025", null ], - [ "CK_He", "thermodynamics_8h.html#a8ba09e03d069a1387f20eebdfe4bfde5", null ], - [ "CL_He", "thermodynamics_8h.html#a0d9b5cad8b15d5b62676fb7215700629", null ], - [ "fu", "thermodynamics_8h.html#ae23d85a5262d4ff6121889e3b38bb4ed", null ], - [ "H_frac", "thermodynamics_8h.html#a02d78534d314296f27b88e36916184cf", null ], - [ "Tnow", "thermodynamics_8h.html#a2b3b40a3f23658c72ef95207cbcbd8c3", null ], - [ "Nnow", "thermodynamics_8h.html#a6fdf4f1d81808b97b351443d663e8811", null ], - [ "Bfact", "thermodynamics_8h.html#a40ba237a0441fef9248e37868e7f71ca", null ], - [ "CB1", "thermodynamics_8h.html#ab95b5c562931dfd60b4cbba24926ea4e", null ], - [ "CB1_He1", "thermodynamics_8h.html#a94ad83481ea0713773b598f47c97985a", null ], - [ "CB1_He2", "thermodynamics_8h.html#a5843798e46e0fe1b87ecae7254eae2af", null ], - [ "H0", "thermodynamics_8h.html#aaca59e2498c91ed2fb9498f0c3f0024a", null ], - [ "YHe", "thermodynamics_8h.html#ab03e0d029be17effdb0a1b9a44ed35df", null ], - [ "annihilation", "thermodynamics_8h.html#a8c70a5cdc49ece851c63fedcf97a1c80", null ], - [ "has_on_the_spot", "thermodynamics_8h.html#a29e62566c5e6b619095da95ee4c2aed0", null ], - [ "decay", "thermodynamics_8h.html#a3c52e95d8a82a4dcfbc9495e708cf044", null ], - [ "annihilation_variation", "thermodynamics_8h.html#a688ab202ff8f75f450ca8a801e9ed073", null ], - [ "annihilation_z", "thermodynamics_8h.html#ab4938be084697ba35a0d0dbe7f5bbda5", null ], - [ "annihilation_zmax", "thermodynamics_8h.html#aaf316776a09b6e67740eeb0c0fee7a9f", null ], - [ "annihilation_zmin", "thermodynamics_8h.html#a5c7c0f6e0a8f2757134337dc90ba1569", null ], - [ "annihilation_f_halo", "thermodynamics_8h.html#a1ffa8b3a0310bbc9a33d6a3e5ecff09a", null ], - [ "annihilation_z_halo", "thermodynamics_8h.html#a694755b3b5b6e2755ef70251335ba276", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8h_structreionization.js b/doc/manual/html/thermodynamics_8h_structreionization.js deleted file mode 100644 index 7a573d38..00000000 --- a/doc/manual/html/thermodynamics_8h_structreionization.js +++ /dev/null @@ -1,30 +0,0 @@ -var thermodynamics_8h_structreionization = -[ - [ "index_re_z", "thermodynamics_8h.html#af9ee97caa4f45869edc2fbb37b678125", null ], - [ "index_re_xe", "thermodynamics_8h.html#a495ca44c6e0ef658aba9915b1c9b848f", null ], - [ "index_re_Tb", "thermodynamics_8h.html#a33f283d298003ee0b95cfda1860daa35", null ], - [ "index_re_cb2", "thermodynamics_8h.html#a9c954280df1c66aa9ce310027e5f40f0", null ], - [ "index_re_dkappadtau", "thermodynamics_8h.html#a31e40c647a35a19c1b897c052b851d76", null ], - [ "index_re_dkappadz", "thermodynamics_8h.html#ae70e176cb531f8c78076df0160b4fed1", null ], - [ "index_re_d3kappadz3", "thermodynamics_8h.html#ae48e17df06ae25896d07c577b899e73a", null ], - [ "re_size", "thermodynamics_8h.html#af689627b42e1f4851fff7e20bb5a8ad2", null ], - [ "rt_size", "thermodynamics_8h.html#a51089069ad3214de9588ba7b649b5ec8", null ], - [ "reionization_table", "thermodynamics_8h.html#acfe9475fc19c4af33306dcb24954c68f", null ], - [ "reionization_optical_depth", "thermodynamics_8h.html#a2d0bb67beb4bffe6b6e4c07c50ea05b4", null ], - [ "index_reio_redshift", "thermodynamics_8h.html#a808b9b45f27f3a7769368aa2443bdcd5", null ], - [ "index_reio_exponent", "thermodynamics_8h.html#ac9e218ca7c045aef0b22e740b10d7e21", null ], - [ "index_reio_width", "thermodynamics_8h.html#aefe9593675372d78b1c101be3b07e568", null ], - [ "index_reio_xe_before", "thermodynamics_8h.html#ad8b561135f954387adbbf151f66730ac", null ], - [ "index_reio_xe_after", "thermodynamics_8h.html#a74df9fdfa77a7b44848d3b55b759943e", null ], - [ "index_helium_fullreio_fraction", "thermodynamics_8h.html#a0ac53466d05be75908b9d2fb604cafeb", null ], - [ "index_helium_fullreio_redshift", "thermodynamics_8h.html#a2e3bfbcd86b070e7ed8bfc206d4caa66", null ], - [ "index_helium_fullreio_width", "thermodynamics_8h.html#ae8a43e7dc408dc75d9326f17ee47f7de", null ], - [ "reio_num_z", "thermodynamics_8h.html#ad19f164a09a190e6d34f46331750e61c", null ], - [ "index_reio_first_z", "thermodynamics_8h.html#a956460dd8f305550f59a08daee633bca", null ], - [ "index_reio_first_xe", "thermodynamics_8h.html#a09078233ff029c56f863eda41ebe21d7", null ], - [ "index_reio_step_sharpness", "thermodynamics_8h.html#a148ebf436a417705c814bf2fd4fe0811", null ], - [ "index_reio_start", "thermodynamics_8h.html#a788ce69bf56161cb1206a3dc424cd937", null ], - [ "reionization_parameters", "thermodynamics_8h.html#ab9f4cf65a7935f25ed0c9a504ed8c29e", null ], - [ "reio_num_params", "thermodynamics_8h.html#a257eb4f1d42be0cc0f3f3a95104b41be", null ], - [ "index_reco_when_reio_start", "thermodynamics_8h.html#a30f0d1b6c4446e56137d17ebe95fda72", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/thermodynamics_8h_structthermo.js b/doc/manual/html/thermodynamics_8h_structthermo.js deleted file mode 100644 index df208b6f..00000000 --- a/doc/manual/html/thermodynamics_8h_structthermo.js +++ /dev/null @@ -1,75 +0,0 @@ -var thermodynamics_8h_structthermo = -[ - [ "YHe", "thermodynamics_8h.html#a5659de2c81941b7a400fd7e7ea3c313d", null ], - [ "recombination", "thermodynamics_8h.html#a5e6ec5533b6b93b80cfaa0d933117410", null ], - [ "reio_parametrization", "thermodynamics_8h.html#a933d64335c2f8d29ac8966d311e76902", null ], - [ "reio_z_or_tau", "thermodynamics_8h.html#aa911a8bfc092639aef86ba60351a3b0c", null ], - [ "tau_reio", "thermodynamics_8h.html#a3a2458620f9e70183e0df4900abe2764", null ], - [ "z_reio", "thermodynamics_8h.html#a09cdddaec3d9d3be0c790a119b1023f0", null ], - [ "compute_cb2_derivatives", "thermodynamics_8h.html#a3d509e606f8d353fed5b353562fbec2a", null ], - [ "compute_damping_scale", "thermodynamics_8h.html#a0ad4a85264f773d11292fc66c5f9d598", null ], - [ "reionization_width", "thermodynamics_8h.html#abde0e80ab0c3e3114cc636d65c2830df", null ], - [ "reionization_exponent", "thermodynamics_8h.html#a6ff33c2e66391af885b6726784e5b92d", null ], - [ "helium_fullreio_redshift", "thermodynamics_8h.html#a4b0d41186002feda14910e2b70948c22", null ], - [ "helium_fullreio_width", "thermodynamics_8h.html#a8f3047a7ce30970e752971bb4786ed57", null ], - [ "binned_reio_num", "thermodynamics_8h.html#a5f115357a3c951feb221fe195a0e3a84", null ], - [ "binned_reio_z", "thermodynamics_8h.html#a88cd6b43f9f3ec6251d087324ce99a0f", null ], - [ "binned_reio_xe", "thermodynamics_8h.html#a502646184962388167cc9e77f6318f2a", null ], - [ "binned_reio_step_sharpness", "thermodynamics_8h.html#a8059572ea77e901114e2a617cd31c8e7", null ], - [ "many_tanh_num", "thermodynamics_8h.html#ada9c9823a4dc41e3e6397b670b5389b4", null ], - [ "many_tanh_z", "thermodynamics_8h.html#a4011a979ddfb33fde348fbb9e08f0458", null ], - [ "many_tanh_xe", "thermodynamics_8h.html#ad14b8f1cb5561b40dbf39af0a49a1557", null ], - [ "many_tanh_width", "thermodynamics_8h.html#adb1b7437b219c65ddf3405e90acaafd5", null ], - [ "reio_inter_num", "thermodynamics_8h.html#ab249a7342381ebfe08dfaf1d26f332cf", null ], - [ "reio_inter_z", "thermodynamics_8h.html#ae0d8972ad4bbfc24974b8b08c0ce45b6", null ], - [ "reio_inter_xe", "thermodynamics_8h.html#af90417ae2eefad3e9c8974b6e1b105f0", null ], - [ "annihilation", "thermodynamics_8h.html#ae415dbb7614aa005deb5517d6f0548e3", null ], - [ "has_on_the_spot", "thermodynamics_8h.html#ab832f907a088efc0d5961151a2fde139", null ], - [ "decay", "thermodynamics_8h.html#a2200cfa2674a5489210d32c6d0fc48cb", null ], - [ "annihilation_variation", "thermodynamics_8h.html#ae8ad0e0cfdc0249cafd89c117cf17274", null ], - [ "annihilation_z", "thermodynamics_8h.html#ac28c28a96161d9cd5de79197c37453bc", null ], - [ "annihilation_zmax", "thermodynamics_8h.html#a2f3af4a2725b9a48ea5978319e6ab05a", null ], - [ "annihilation_zmin", "thermodynamics_8h.html#ac05844feb6dd9b8f8b23913fe00e5f77", null ], - [ "annihilation_f_halo", "thermodynamics_8h.html#acd516b6887613e52e9ebc3d2616e5b70", null ], - [ "annihilation_z_halo", "thermodynamics_8h.html#a64f8f97a949b86579bdc382a3ab5ae6c", null ], - [ "index_th_xe", "thermodynamics_8h.html#aba1579aad519a4b990438d8a15670b40", null ], - [ "index_th_dkappa", "thermodynamics_8h.html#aea1ea1f3e5c0c64eee3d527b6663e9d5", null ], - [ "index_th_tau_d", "thermodynamics_8h.html#a35e688c8d2c87b79aafbcdae01cef507", null ], - [ "index_th_ddkappa", "thermodynamics_8h.html#abc3d795a1a457805e1f2a3902a6078bb", null ], - [ "index_th_dddkappa", "thermodynamics_8h.html#ab22f97968c1478527c2b1472b257f0a8", null ], - [ "index_th_exp_m_kappa", "thermodynamics_8h.html#ae95f57e24cdaf670e96f68f65bc614b4", null ], - [ "index_th_g", "thermodynamics_8h.html#a21416a8b787d8018a8aa8731e8614af8", null ], - [ "index_th_dg", "thermodynamics_8h.html#aa5ba947ab5a6728b9503f23b3db3c647", null ], - [ "index_th_ddg", "thermodynamics_8h.html#a8d37919b3cee46dc444edb84d8b7b7fc", null ], - [ "index_th_Tb", "thermodynamics_8h.html#a8a5e3cc09ec655767702c0ddc01b51c6", null ], - [ "index_th_cb2", "thermodynamics_8h.html#ab46df5f21130eeee5285e67c4622ad95", null ], - [ "index_th_dcb2", "thermodynamics_8h.html#a88ec417317b2b67874267a57dc9d6e1f", null ], - [ "index_th_ddcb2", "thermodynamics_8h.html#af2235ab4044aead8661b93e444100a62", null ], - [ "index_th_rate", "thermodynamics_8h.html#a039139b2d4e0699b2053236b26b85362", null ], - [ "index_th_r_d", "thermodynamics_8h.html#adaead8e8bf4fda93eb3b22b02741cc53", null ], - [ "th_size", "thermodynamics_8h.html#aeaab853f9c79e1b7f0c516e2034afc5a", null ], - [ "tt_size", "thermodynamics_8h.html#aac7234076d84b798f8b3346d5e76d158", null ], - [ "z_table", "thermodynamics_8h.html#ac26e74ef1fcdbe7c3666dabeff610f12", null ], - [ "thermodynamics_table", "thermodynamics_8h.html#a69b1c0e146bb1813004d1ca8d4be0356", null ], - [ "d2thermodynamics_dz2_table", "thermodynamics_8h.html#a49c943271cb4aac61c94bc319ab29910", null ], - [ "z_rec", "thermodynamics_8h.html#ab66b58fac03cfcd90bf32ce38dae2bb7", null ], - [ "tau_rec", "thermodynamics_8h.html#a58263bc073a96346f1ea034eeb8d66cc", null ], - [ "rs_rec", "thermodynamics_8h.html#a7c76a1b25abab3fe341b07387f5d3475", null ], - [ "ds_rec", "thermodynamics_8h.html#a0b850d5fa4f35c4912a361a2de85b373", null ], - [ "ra_rec", "thermodynamics_8h.html#a5012fed08730754d19a0b748f5904bd2", null ], - [ "da_rec", "thermodynamics_8h.html#a2c58c6c497268309b8d658a7b1ea216f", null ], - [ "rd_rec", "thermodynamics_8h.html#ac4ff58ec97d05ed2f0fe09e6a6d9d7f0", null ], - [ "z_d", "thermodynamics_8h.html#a538b4456df5d31848278443a33358dc2", null ], - [ "tau_d", "thermodynamics_8h.html#ad35ed79fc3351995cd324639d49bf2c5", null ], - [ "ds_d", "thermodynamics_8h.html#af146a478a958c395eea06936778046a6", null ], - [ "rs_d", "thermodynamics_8h.html#a84a5dfe70e2c9e1793ba7620c7ad00fd", null ], - [ "tau_cut", "thermodynamics_8h.html#a40d90d7624f973a3e1ad4f7dd45a6aa4", null ], - [ "angular_rescaling", "thermodynamics_8h.html#aff24e182af74c2aba44ebd261c439a30", null ], - [ "tau_free_streaming", "thermodynamics_8h.html#af00c823bddd68b229494936cdb042205", null ], - [ "tau_ini", "thermodynamics_8h.html#a712e8fca144ea7b0d6053776266b2ac7", null ], - [ "n_e", "thermodynamics_8h.html#a9bff37796a1c0d6271a7fefb97e15b35", null ], - [ "inter_normal", "thermodynamics_8h.html#a11c011eabf1ef83e1a292721c60815ce", null ], - [ "inter_closeby", "thermodynamics_8h.html#a3f57253d7adad511cae405ae0fd9cae1", null ], - [ "thermodynamics_verbose", "thermodynamics_8h.html#aa5cd5143daa64272ade3076ebbd81f52", null ], - [ "error_message", "thermodynamics_8h.html#a68eabc65d6d68d2152e2c0d075e69aea", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/transfer_8c.html b/doc/manual/html/transfer_8c.html deleted file mode 100644 index 5e3c183c..00000000 --- a/doc/manual/html/transfer_8c.html +++ /dev/null @@ -1,2098 +0,0 @@ - - - - - - - -CLASS MANUAL: transfer.c File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Functions
    -
    -
    transfer.c File Reference
    -
    -
    -
    #include "transfer.h"
    -
    - + Include dependency graph for transfer.c:
    -
    -
    - -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Functions

    int transfer_functions_at_q (struct transfers *ptr, int index_md, int index_ic, int index_tt, int index_l, double q, double *transfer_function)
     
    int transfer_init (struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct nonlinear *pnl, struct transfers *ptr)
     
    int transfer_free (struct transfers *ptr)
     
    int transfer_indices_of_transfers (struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, double q_period, double K, int sgnK)
     
    int transfer_get_l_list (struct precision *ppr, struct perturbs *ppt, struct transfers *ptr)
     
    int transfer_get_q_list (struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, double q_period, double K, int sgnK)
     
    int transfer_get_k_list (struct perturbs *ppt, struct transfers *ptr, double K)
     
    int transfer_get_source_correspondence (struct perturbs *ppt, struct transfers *ptr, int **tp_of_tt)
     
    int transfer_source_tau_size (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double tau_rec, double tau0, int index_md, int index_tt, int *tau_size)
     
    int transfer_compute_for_each_q (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int **tp_of_tt, int index_q, int tau_size_max, double tau_rec, double ***pert_sources, double ***pert_sources_spline, struct transfer_workspace *ptw)
     
    int transfer_interpolate_sources (struct perturbs *ppt, struct transfers *ptr, int index_q, int index_md, int index_ic, int index_type, double *pert_source, double *pert_source_spline, double *interpolated_sources)
     
    int transfer_sources (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double *interpolated_sources, double tau_rec, int index_q, int index_md, int index_tt, double *sources, double *tau0_minus_tau, double *w_trapz, int *tau_size_out)
     
    int transfer_selection_function (struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, int bin, double z, double *selection)
     
    int transfer_dNdz_analytic (struct transfers *ptr, double z, double *dNdz, double *dln_dNdz_dz)
     
    int transfer_selection_sampling (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau0_minus_tau, int tau_size)
     
    int transfer_lensing_sampling (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double tau0, double *tau0_minus_tau, int tau_size)
     
    int transfer_source_resample (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau0_minus_tau, int tau_size, int index_md, double tau0, double *interpolated_sources, double *sources)
     
    int transfer_selection_times (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau_min, double *tau_mean, double *tau_max)
     
    int transfer_selection_compute (struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double *selection, double *tau0_minus_tau, double *w_trapz, int tau_size, double *pvecback, double tau0, int bin)
     
    int transfer_compute_for_each_l (struct transfer_workspace *ptw, struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, int index_q, int index_md, int index_ic, int index_tt, int index_l, double l, double q_max_bessel, radial_function_type radial_type)
     
    int transfer_integrate (struct perturbs *ppt, struct transfers *ptr, struct transfer_workspace *ptw, int index_q, int index_md, int index_tt, double l, int index_l, double k, radial_function_type radial_type, double *trsf)
     
    int transfer_limber (struct transfers *ptr, struct transfer_workspace *ptw, int index_md, int index_q, double l, double q, radial_function_type radial_type, double *trsf)
     
    int transfer_limber_interpolate (struct transfers *ptr, double *tau0_minus_tau, double *sources, int tau_size, double tau0_minus_tau_limber, double *S)
     
    int transfer_limber2 (int tau_size, struct transfers *ptr, int index_md, int index_k, double l, double k, double *tau0_minus_tau, double *sources, radial_function_type radial_type, double *trsf)
     
    -

    Detailed Description

    -

    Documented transfer module.

    -

    Julien Lesgourgues, 28.07.2013

    -

    This module has two purposes:

    -
      -
    • at the beginning, to compute the transfer functions $ \Delta_l^{X} (q) $, and store them in tables used for interpolation in other modules.
      • -
    • at any time in the code, to evaluate the transfer functions (for a given mode, initial condition, type and multipole l) at any wavenumber q (by interpolating within the interpolation table).
      • -
    -

    Hence the following functions can be called from other modules:

    -
      -
    1. transfer_init() at the beginning (but after perturb_init() and bessel_init())
      2. -
    2. transfer_functions_at_q() at any later time
      3. -
    3. transfer_free() at the end, when no more calls to transfer_functions_at_q() are needed
      4. -
    -

    Note that in the standard implementation of CLASS, only the pre-computed values of the transfer functions are used, no interpolation is necessary; hence the routine transfer_functions_at_q() is actually never called.

    -

    Function Documentation

    - -

    ◆ transfer_functions_at_q()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_functions_at_q (struct transfers * ptr,
    int index_md,
    int index_ic,
    int index_tt,
    int index_l,
    double q,
    double * transfer_function 
    )
    -
    -

    Transfer function $ \Delta_l^{X} (q) $ at a given wavenumber q.

    -

    For a given mode (scalar, vector, tensor), initial condition, type (temperature, polarization, lensing, etc) and multipole, computes the transfer function for an arbitrary value of q by interpolating between pre-computed values of q. This function can be called from whatever module at whatever time, provided that transfer_init() has been called before, and transfer_free() has not been called yet.

    -

    Wavenumbers are called q in this module and k in the perturbation module. In flat universes k=q. In non-flat universes q and k differ through $ q2 = k2 + K(1+m)$, where m=0,1,2 for scalar, vector, tensor. q should be used throughout the transfer module, excepted when interpolating or manipulating the source functions S(k,tau) calculated in the perturbation module: for a given value of q, this should be done at the corresponding k(q).

    -
    Parameters
    - - - - - - - - -
    ptrInput: pointer to transfer structure
    index_mdInput: index of requested mode
    index_icInput: index of requested initial condition
    index_ttInput: index of requested type
    index_lInput: index of requested multipole
    qInput: any wavenumber
    transfer_functionOutput: transfer function
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • interpolate in pre-computed table using array_interpolate_two()
      • -
    - -
    -
    - -

    ◆ transfer_init()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_init (struct precision * ppr,
    struct background * pba,
    struct thermo * pth,
    struct perturbs * ppt,
    struct nonlinear * pnl,
    struct transfers * ptr 
    )
    -
    -

    This routine initializes the transfers structure, (in particular, computes table of transfer functions $ \Delta_l^{X} (q) $)

    -

    Main steps:

    -
      -
    • initialize all indices in the transfers structure and allocate all its arrays using transfer_indices_of_transfers().
      • -
    • for each thread (in case of parallel run), initialize the fields of a memory zone called the transfer_workspace with transfer_workspace_init()
      • -
    • loop over q values. For each q, compute the Bessel functions if needed with transfer_update_HIS(), and defer the calculation of all transfer functions to transfer_compute_for_each_q()
      • -
    • for each thread, free the the workspace with transfer_workspace_free()
      • -
    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pthInput: pointer to thermodynamics structure
    pptInput: pointer to perturbation structure
    pnlInput: pointer to nonlinear structure
    ptrOutput: pointer to initialized transfers structure
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • array with the correspondence between the index of sources in the perturbation module and in the transfer module, tp_of_tt[index_md][index_tt]
      • -
    • check whether any spectrum in harmonic space (i.e., any $C_l$'s) is actually requested
      • -
    • get number of modes (scalars, tensors...)
      • -
    • get conformal age / recombination time from background / thermodynamics structures (only place where these structures are used in this module)
      • -
    • correspondence between k and l depend on angular diameter distance, i.e. on curvature.
      • -
    • order of magnitude of the oscillation period of transfer functions
      • -
    • initialize all indices in the transfers structure and allocate all its arrays using transfer_indices_of_transfers()
      • -
    • copy sources to a local array sources (in fact, only the pointers are copied, not the data), and eventually apply non-linear corrections to the sources
      • -
    • spline all the sources passed by the perturbation module with respect to k (in order to interpolate later at a given value of k)
      • -
    • allocate and fill array describing the correspondence between perturbation types and transfer types
      • -
    • evaluate maximum number of sampled times in the transfer sources: needs to be known here, in order to allocate a large enough workspace
      • -
    • compute flat spherical bessel functions
      • -
    • eventually read the selection and evolution functions
      • -
    • loop over all wavenumbers (parallelized).
      • -
    • finally, free arrays allocated outside parallel zone
      • -
    - -
    -
    - -

    ◆ transfer_free()

    - -
    -
    - - - - - - - - -
    int transfer_free (struct transfers * ptr)
    -
    -

    This routine frees all the memory space allocated by transfer_init().

    -

    To be called at the end of each run, only when no further calls to transfer_functions_at_k() are needed.

    -
    Parameters
    - - -
    ptrInput: pointer to transfers structure (which fields must be freed)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_indices_of_transfers()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_indices_of_transfers (struct precision * ppr,
    struct perturbs * ppt,
    struct transfers * ptr,
    double q_period,
    double K,
    int sgnK 
    )
    -
    -

    This routine defines all indices and allocates all tables in the transfers structure

    -

    Compute list of (k, l) values, allocate and fill corresponding arrays in the transfers structure. Allocate the array of transfer function tables.

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pptInput: pointer to perturbation structure
    ptrInput/Output: pointer to transfer structure
    q_periodInput: order of magnitude of the oscillation period of transfer functions
    KInput: spatial curvature (in absolute value)
    sgnKInput: spatial curvature sign (open/closed/flat)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • define indices for transfer types
      • -
    • type indices common to scalars and tensors
      • -
    • type indices for scalars
      • -
    • type indices for vectors
      • -
    • type indices for tensors
      • -
    • allocate arrays of (k, l) values and transfer functions
      • -
    • get q values using transfer_get_q_list()
      • -
    • get k values using transfer_get_k_list()
      • -
    • get l values using transfer_get_l_list()
      • -
    • loop over modes (scalar, etc). For each mode:
      • -
    • allocate arrays of transfer functions, (ptr->transfer[index_md])[index_ic][index_tt][index_l][index_k]
      • -
    - -
    -
    - -

    ◆ transfer_get_l_list()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_get_l_list (struct precision * ppr,
    struct perturbs * ppt,
    struct transfers * ptr 
    )
    -
    -

    This routine defines the number and values of multipoles l for all modes.

    -
    Parameters
    - - - - -
    pprInput: pointer to precision structure
    pptInput: pointer to perturbation structure
    ptrInput/Output: pointer to transfers structure containing l's
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • allocate and fill l array
      • -
    • start from l = 2 and increase with logarithmic step
      • -
    • when the logarithmic step becomes larger than some linear step, stick to this linear step till l_max
      • -
    • last value set to exactly l_max
      • -
    • so far we just counted the number of values. Now repeat the whole thing but fill array with values.
      • -
    - -
    -
    - -

    ◆ transfer_get_q_list()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_get_q_list (struct precision * ppr,
    struct perturbs * ppt,
    struct transfers * ptr,
    double q_period,
    double K,
    int sgnK 
    )
    -
    -

    This routine defines the number and values of wavenumbers q for each mode (goes smoothly from logarithmic step for small q's to linear step for large q's).

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pptInput: pointer to perturbation structure
    ptrInput/Output: pointer to transfers structure containing q's
    q_periodInput: order of magnitude of the oscillation period of transfer functions
    KInput: spatial curvature (in absolute value)
    sgnKInput: spatial curvature sign (open/closed/flat)
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_get_k_list()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_get_k_list (struct perturbs * ppt,
    struct transfers * ptr,
    double K 
    )
    -
    -

    This routine infers from the q values a list of corresponding k values for each mode.

    -
    Parameters
    - - - - -
    pptInput: pointer to perturbation structure
    ptrInput/Output: pointer to transfers structure containing q's
    KInput: spatial curvature
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_get_source_correspondence()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_get_source_correspondence (struct perturbs * ppt,
    struct transfers * ptr,
    int ** tp_of_tt 
    )
    -
    -

    This routine defines the correspondence between the sources in the perturbation and transfer module.

    -
    Parameters
    - - - - -
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure containing l's
    tp_of_ttInput/Output: array with the correspondence (allocated before, filled here)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • running index on modes
      • -
    • running index on transfer types
      • -
    • which source are we considering? Define correspondence between transfer types and source types
      • -
    - -
    -
    - -

    ◆ transfer_source_tau_size()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_source_tau_size (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    double tau_rec,
    double tau0,
    int index_md,
    int index_tt,
    int * tau_size 
    )
    -
    -

    the code makes a distinction between "perturbation sources" (e.g. gravitational potential) and "transfer sources" (e.g. total density fluctuations, obtained through the Poisson equation, and observed with a given selection function).

    -

    This routine computes the number of sampled time values for each type of transfer sources.

    -
    Parameters
    - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    tau_recInput: recombination time
    tau0Input: time today
    index_mdInput: index of the mode (scalar, tensor)
    index_ttInput: index of transfer type
    tau_sizeOutput: pointer to number of sampled times
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_compute_for_each_q()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_compute_for_each_q (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    int ** tp_of_tt,
    int index_q,
    int tau_size_max,
    double tau_rec,
    double *** pert_sources,
    double *** pert_sources_spline,
    struct transfer_workspace * ptw 
    )
    -
    -

    Summary:

    -
      -
    • define local variables
        -
      • we deal with workspaces, i.e. with contiguous memory zones (one per thread) containing various fields used by the integration routine
        • -
      -
      • -
    • for a given l, maximum value of k such that we can convolve the source with Bessel functions j_l(x) without reaching x_max
      • -
    • store the sources in the workspace and define all fields in this workspace
      • -
    • loop over all modes. For each mode
      • -
    • loop over initial conditions.
      • -
    • check if we must now deal with a new source with a new index ppt->index_type. If yes, interpolate it at the right values of k.
      • -
    • Select radial function type
      • -
    - -
    -
    - -

    ◆ transfer_interpolate_sources()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_interpolate_sources (struct perturbs * ppt,
    struct transfers * ptr,
    int index_q,
    int index_md,
    int index_ic,
    int index_type,
    double * pert_source,
    double * pert_source_spline,
    double * interpolated_sources 
    )
    -
    -

    This routine interpolates sources $ S(k, \tau) $ for each mode, initial condition and type (of perturbation module), to get them at the right values of k, using the spline interpolation method.

    -
    Parameters
    - - - - - - - - - - -
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    index_qInput: index of wavenumber
    index_mdInput: index of mode
    index_icInput: index of initial condition
    index_typeInput: index of type of source (in perturbation module)
    pert_sourceInput: array of sources
    pert_source_splineInput: array of second derivative of sources
    interpolated_sourcesOutput: array of interpolated sources (filled here but allocated in transfer_init() to avoid numerous reallocation)
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • interpolate at each k value using the usual spline interpolation algorithm.
      • -
    - -
    -
    - -

    ◆ transfer_sources()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_sources (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    double * interpolated_sources,
    double tau_rec,
    int index_q,
    int index_md,
    int index_tt,
    double * sources,
    double * tau0_minus_tau,
    double * w_trapz,
    int * tau_size_out 
    )
    -
    -

    The code makes a distinction between "perturbation sources" (e.g. gravitational potential) and "transfer sources" (e.g. total density fluctuations, obtained through the Poisson equation, and observed with a given selection function).

    -

    This routine computes the transfer source given the interpolated perturbation source, and copies it in the workspace.

    -
    Parameters
    - - - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    interpolated_sourcesInput: interpolated perturbation source
    tau_recInput: recombination time
    index_qInput: index of wavenumber
    index_mdInput: index of mode
    index_ttInput: index of type of (transfer) source
    sourcesOutput: transfer source
    tau0_minus_tauOutput: values of (tau0-tau) at which source are sample
    w_trapzOutput: trapezoidal weights for integration over tau
    tau_size_outOutput: pointer to size of previous two arrays, converted to double
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
        -
      • in which cases are perturbation and transfer sources are different? I.e., in which case do we need to multiply the sources by some background and/or window function, and eventually to resample it, or redefine its time limits?
        • -
      • case where we need to redefine by a window function (or any function of the background and of k)
        • -
      -
      • -
    • case where we do not need to redefine
        -
      • return tau_size value that will be stored in the workspace (the workspace wants a double)
        • -
      -
      • -
    - -
    -
    - -

    ◆ transfer_selection_function()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_selection_function (struct precision * ppr,
    struct perturbs * ppt,
    struct transfers * ptr,
    int bin,
    double z,
    double * selection 
    )
    -
    -

    Arbitrarily normalized selection function dN/dz(z,bin)

    -
    Parameters
    - - - - - - - -
    pprInput: pointer to precision structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    binInput: redshift bin number
    zInput: one value of redshift
    selectionOutput: pointer to selection function
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_dNdz_analytic()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_dNdz_analytic (struct transfers * ptr,
    double z,
    double * dNdz,
    double * dln_dNdz_dz 
    )
    -
    -

    Analytic form for dNdz distribution, from arXiv:1004.4640

    -
    Parameters
    - - - - - -
    ptrInput: pointer to transfer structure
    zInput: redshift
    dNdzOutput: density per redshift, dN/dZ
    dln_dNdz_dzOutput: dln(dN/dz)/dz, used optionally for the source evolution
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_selection_sampling()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_selection_sampling (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    int bin,
    double * tau0_minus_tau,
    int tau_size 
    )
    -
    -

    For sources that need to be multiplied by a selection function, redefine a finer time sampling in a small range

    -
    Parameters
    - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    binInput: redshift bin number
    tau0_minus_tauOutput: values of (tau0-tau) at which source are sample
    tau_sizeOutput: pointer to size of previous array
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_lensing_sampling()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_lensing_sampling (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    int bin,
    double tau0,
    double * tau0_minus_tau,
    int tau_size 
    )
    -
    -

    For lensing sources that need to be convolved with a selection function, redefine the sampling within the range extending from the tau_min of the selection function up to tau0

    -
    Parameters
    - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    binInput: redshift bin number
    tau0Input: time today
    tau0_minus_tauOutput: values of (tau0-tau) at which source are sample
    tau_sizeOutput: pointer to size of previous array
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_source_resample()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_source_resample (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    int bin,
    double * tau0_minus_tau,
    int tau_size,
    int index_md,
    double tau0,
    double * interpolated_sources,
    double * sources 
    )
    -
    -

    For sources that need to be multiplied by a selection function, redefine a finer time sampling in a small range, and resample the perturbation sources at the new value by linear interpolation

    -
    Parameters
    - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    binInput: redshift bin number
    tau0_minus_tauOutput: values of (tau0-tau) at which source are sample
    tau_sizeOutput: pointer to size of previous array
    index_mdInput: index of mode
    tau0Input: time today
    interpolated_sourcesInput: interpolated perturbation source
    sourcesOutput: resampled transfer source
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_selection_times()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_selection_times (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    int bin,
    double * tau_min,
    double * tau_mean,
    double * tau_max 
    )
    -
    -

    For each selection function, compute the min, mean and max values of conformal time (associated to the min, mean and max values of redshift specified by the user)

    -
    Parameters
    - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    binInput: redshift bin number
    tau_minOutput: smallest time in the selection interval
    tau_meanOutput: time corresponding to z_mean
    tau_maxOutput: largest time in the selection interval
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_selection_compute()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_selection_compute (struct precision * ppr,
    struct background * pba,
    struct perturbs * ppt,
    struct transfers * ptr,
    double * selection,
    double * tau0_minus_tau,
    double * w_trapz,
    int tau_size,
    double * pvecback,
    double tau0,
    int bin 
    )
    -
    -

    Compute and normalize selection function for a set of time values

    -
    Parameters
    - - - - - - - - - - - - -
    pprInput: pointer to precision structure
    pbaInput: pointer to background structure
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    selectionOutput: normalized selection function
    tau0_minus_tauInput: values of (tau0-tau) at which source are sample
    w_trapzInput: trapezoidal weights for integration over tau
    tau_sizeInput: size of previous two arrays
    pvecbackInput: allocated array of background values
    tau0Input: time today
    binInput: redshift bin number
    -
    -
    -
    Returns
    the error status
    - -
    -
    - -

    ◆ transfer_compute_for_each_l()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_compute_for_each_l (struct transfer_workspace * ptw,
    struct precision * ppr,
    struct perturbs * ppt,
    struct transfers * ptr,
    int index_q,
    int index_md,
    int index_ic,
    int index_tt,
    int index_l,
    double l,
    double q_max_bessel,
    radial_function_type radial_type 
    )
    -
    -

    This routine computes the transfer functions $ \Delta_l^{X} (k) $) as a function of wavenumber k for a given mode, initial condition, type and multipole l passed in input.

    -

    For a given value of k, the transfer function is inferred from the source function (passed in input in the array interpolated_sources) and from Bessel functions (passed in input in the bessels structure), either by convolving them along tau, or by a Limber approximation. This elementary task is distributed either to transfer_integrate() or to transfer_limber(). The task of this routine is mainly to loop over k values, and to decide at which k_max the calculation can be stopped, according to some approximation scheme designed to find a compromise between execution time and precision. The approximation scheme is defined by parameters in the precision structure.

    -
    Parameters
    - - - - - - - - - - - - - -
    ptwInput: pointer to transfer_workspace structure (allocated in transfer_init() to avoid numerous reallocation)
    pprInput: pointer to precision structure
    pptInput: pointer to perturbation structure
    ptrInput/output: pointer to transfers structure (result stored there)
    index_qInput: index of wavenumber
    index_mdInput: index of mode
    index_icInput: index of initial condition
    index_ttInput: index of type of transfer
    index_lInput: index of multipole
    lInput: multipole
    q_max_besselInput: maximum value of argument q at which Bessel functions are computed
    radial_typeInput: type of radial (Bessel) functions to convolve with
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • return zero transfer function if l is above l_max
      • -
    • store transfer function in transfer structure
      • -
    - -
    -
    - -

    ◆ transfer_integrate()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_integrate (struct perturbs * ppt,
    struct transfers * ptr,
    struct transfer_workspace * ptw,
    int index_q,
    int index_md,
    int index_tt,
    double l,
    int index_l,
    double k,
    radial_function_type radial_type,
    double * trsf 
    )
    -
    -

    This routine computes the transfer functions $ \Delta_l^{X} (k) $) for each mode, initial condition, type, multipole l and wavenumber k, by convolving the source function (passed in input in the array interpolated_sources) with Bessel functions (passed in input in the bessels structure).

    -
    Parameters
    - - - - - - - - - - - - -
    pptInput: pointer to perturbation structure
    ptrInput: pointer to transfers structure
    ptwInput: pointer to transfer_workspace structure (allocated in transfer_init() to avoid numerous reallocation)
    index_qInput: index of wavenumber
    index_mdInput: index of mode
    index_ttInput: index of type
    lInput: multipole
    index_lInput: index of multipole
    kInput: wavenumber
    radial_typeInput: type of radial (Bessel) functions to convolve with
    trsfOutput: transfer function $ \Delta_l(k) $
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • find minimum value of (tau0-tau) at which $ j_l(k[\tau_0-\tau]) $ is known, given that $ j_l(x) $ is sampled above some finite value $ x_{\min} $ (below which it can be approximated by zero)
      • -
    • if there is no overlap between the region in which bessels and sources are non-zero, return zero
      • -
    • if there is an overlap:
      • -
    • –> trivial case: the source is a Dirac function and is sampled in only one point
      • -
    • –> other cases
      • -
    • —> (a) find index in the source's tau list corresponding to the last point in the overlapping region. After this step, index_tau_max can be as small as zero, but not negative.
      • -
    • —> (b) the source function can vanish at large $ \tau $. Check if further points can be eliminated. After this step and if we did not return a null transfer function, index_tau_max can be as small as zero, but not negative.
      • -
    • Compute the radial function:
      • -
    • Now we do most of the convolution integral:
      • -
    • This integral is correct for the case where no truncation has occurred. If it has been truncated at some index_tau_max because f[index_tau_max+1]==0, it is still correct. The 'mistake' in using the wrong weight w_trapz[index_tau_max] is exactly compensated by the triangle we miss. However, for the Bessel cut off, we must subtract the wrong triangle and add the correct triangle.
      • -
    - -
    -
    - -

    ◆ transfer_limber()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_limber (struct transfers * ptr,
    struct transfer_workspace * ptw,
    int index_md,
    int index_q,
    double l,
    double q,
    radial_function_type radial_type,
    double * trsf 
    )
    -
    -

    This routine computes the transfer functions $ \Delta_l^{X} (k) $) for each mode, initial condition, type, multipole l and wavenumber k, by using the Limber approximation, i.e by evaluating the source function (passed in input in the array interpolated_sources) at a single value of tau (the Bessel function being approximated as a Dirac distribution).

    -
    Parameters
    - - - - - - - - - -
    ptrInput: pointer to transfers structure
    ptwInput: pointer to transfer workspace structure
    index_mdInput: index of mode
    index_qInput: index of wavenumber
    lInput: multipole
    qInput: wavenumber
    radial_typeInput: type of radial (Bessel) functions to convolve with
    trsfOutput: transfer function $ \Delta_l(k) $
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • get k, l and infer tau such that k(tau0-tau)=l+1/2; check that tau is in appropriate range
      • -
    • get transfer = source * $ \sqrt{\pi/(2l+1)}/q $ = source*[tau0-tau] * $ \sqrt{\pi/(2l+1)}/(l+1/2)$
      • -
    - -
    -
    - -

    ◆ transfer_limber_interpolate()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_limber_interpolate (struct transfers * ptr,
    double * tau0_minus_tau,
    double * sources,
    int tau_size,
    double tau0_minus_tau_limber,
    double * S 
    )
    -
    -
      -
    • find bracketing indices. index_tau must be at least 1 (so that index_tau-1 is at least 0) and at most tau_size-2 (so that index_tau+1 is at most tau_size-1).
      • -
    • interpolate by fitting a polynomial of order two; get source and its first two derivatives. Note that we are not interpolating S, but the product S*(tau0-tau). Indeed this product is regular in tau=tau0, while S alone diverges for lensing.
      • -
    - -
    -
    - -

    ◆ transfer_limber2()

    - -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    int transfer_limber2 (int tau_size,
    struct transfers * ptr,
    int index_md,
    int index_k,
    double l,
    double k,
    double * tau0_minus_tau,
    double * sources,
    radial_function_type radial_type,
    double * trsf 
    )
    -
    -

    This routine computes the transfer functions $ \Delta_l^{X} (k) $) for each mode, initial condition, type, multipole l and wavenumber k, by using the Limber approximation at order two, i.e as a function of the source function and its first two derivatives at a single value of tau

    -
    Parameters
    - - - - - - - - - - - -
    tau_sizeInput: size of conformal time array
    ptrInput: pointer to transfers structure
    index_mdInput: index of mode
    index_kInput: index of wavenumber
    lInput: multipole
    kInput: wavenumber
    tau0_minus_tauInput: array of values of (tau_today - tau)
    sourcesInput: source functions
    radial_typeInput: type of radial (Bessel) functions to convolve with
    trsfOutput: transfer function $ \Delta_l(k) $
    -
    -
    -
    Returns
    the error status
    -

    Summary:

    -
      -
    • define local variables
      • -
    • get k, l and infer tau such that k(tau0-tau)=l+1/2; check that tau is in appropriate range
      • -
    • find bracketing indices
      • -
    • interpolate by fitting a polynomial of order two; get source and its first two derivatives
      • -
    • get transfer from 2nd order Limber approx (inferred from 0809.5112 [astro-ph])
      • -
    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/transfer_8c.js b/doc/manual/html/transfer_8c.js deleted file mode 100644 index 97c84c22..00000000 --- a/doc/manual/html/transfer_8c.js +++ /dev/null @@ -1,27 +0,0 @@ -var transfer_8c = -[ - [ "transfer_functions_at_q", "transfer_8c.html#a226ea453047ad9f9b4baa8527f9fefd1", null ], - [ "transfer_init", "transfer_8c.html#a7ed9b28044b1e58d74494915b3ff5b10", null ], - [ "transfer_free", "transfer_8c.html#a6debba506b0d424b93b56b8767656d07", null ], - [ "transfer_indices_of_transfers", "transfer_8c.html#a4ae4f487bf63b45198fda351e2c87696", null ], - [ "transfer_get_l_list", "transfer_8c.html#ad59d5c2a8ace2403d8375883482bbad5", null ], - [ "transfer_get_q_list", "transfer_8c.html#a9d50cb722ee213f9c48a77df7ce85cd1", null ], - [ "transfer_get_k_list", "transfer_8c.html#ac3f0d949e2ef800f718c11fdd5c1354e", null ], - [ "transfer_get_source_correspondence", "transfer_8c.html#ae3e81b8369f6de9bc2dc7b8c02e10ceb", null ], - [ "transfer_source_tau_size", "transfer_8c.html#a5c9363d6dd2b5845bc8d41d5c7611d7a", null ], - [ "transfer_compute_for_each_q", "transfer_8c.html#aa0790ada9b74ac2325edc23a68eb1f72", null ], - [ "transfer_interpolate_sources", "transfer_8c.html#ad966994d25435082cd027960de7ab356", null ], - [ "transfer_sources", "transfer_8c.html#a9b622143337865b857779564eefb2a7b", null ], - [ "transfer_selection_function", "transfer_8c.html#a87c33899832bba51d62fbeef87a25fe0", null ], - [ "transfer_dNdz_analytic", "transfer_8c.html#afe1acfe299e7d241e2db5d089db70ca0", null ], - [ "transfer_selection_sampling", "transfer_8c.html#a52265dbcef681f416e9a51d4477e268a", null ], - [ "transfer_lensing_sampling", "transfer_8c.html#a6776393e90246342ec38f567323cbe68", null ], - [ "transfer_source_resample", "transfer_8c.html#a94d64b8304fc2453d448c41716e8c89f", null ], - [ "transfer_selection_times", "transfer_8c.html#a2cc20b516c44760847dd4455633be1b9", null ], - [ "transfer_selection_compute", "transfer_8c.html#a55cd5cd7416ec0013204f839da1326ef", null ], - [ "transfer_compute_for_each_l", "transfer_8c.html#a0fcf8cc8e561263cdc2d3d39cebd9a5d", null ], - [ "transfer_integrate", "transfer_8c.html#ad0fb04f4bb7b95408de7adbe9e6da505", null ], - [ "transfer_limber", "transfer_8c.html#abe288a49a5044b79cef9ea63123fe56b", null ], - [ "transfer_limber_interpolate", "transfer_8c.html#ac0b2d5188d0476ba4c1a6633c3278dfb", null ], - [ "transfer_limber2", "transfer_8c.html#a6ab33e807dff2fdbd878908f18fbb0c2", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/transfer_8c__incl.map b/doc/manual/html/transfer_8c__incl.map deleted file mode 100644 index 0e0ccec2..00000000 --- a/doc/manual/html/transfer_8c__incl.map +++ /dev/null @@ -1,18 +0,0 @@ - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c__incl.md5 b/doc/manual/html/transfer_8c__incl.md5 deleted file mode 100644 index 5c62cbaa..00000000 --- a/doc/manual/html/transfer_8c__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -6bde73aab0dcc66e4ba7b77a3823c6f3 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c__incl.png b/doc/manual/html/transfer_8c__incl.png deleted file mode 100644 index cd88ec68..00000000 Binary files a/doc/manual/html/transfer_8c__incl.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.map b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.map deleted file mode 100644 index 36d1dfef..00000000 --- a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.md5 b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.md5 deleted file mode 100644 index 9a2783fe..00000000 --- a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -618f8dc0c12b03f385c49febd3cb5752 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.png b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.png deleted file mode 100644 index d199e30d..00000000 Binary files a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.map b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.map deleted file mode 100644 index b4c4d59f..00000000 --- a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.md5 b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.md5 deleted file mode 100644 index e0fa08c8..00000000 --- a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e73f04f5e550659b3d0c220abcf66492 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.png b/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.png deleted file mode 100644 index 7ddaa96f..00000000 Binary files a/doc/manual/html/transfer_8c_a0fcf8cc8e561263cdc2d3d39cebd9a5d_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.map b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.map deleted file mode 100644 index 42e32775..00000000 --- a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.md5 b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.md5 deleted file mode 100644 index 2edccadb..00000000 --- a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -df85d8259ce086b961dafa28916bb966 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.png b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.png deleted file mode 100644 index ff97dcf0..00000000 Binary files a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.map b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.map deleted file mode 100644 index 4633dbeb..00000000 --- a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.map +++ /dev/null @@ -1,11 +0,0 @@ - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.md5 b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.md5 deleted file mode 100644 index 2eeb258b..00000000 --- a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -e813eade2d2122b6b9e704cfd5f1d83d \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.png b/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.png deleted file mode 100644 index 7be052ad..00000000 Binary files a/doc/manual/html/transfer_8c_a2cc20b516c44760847dd4455633be1b9_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.map b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.map deleted file mode 100644 index cd347194..00000000 --- a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.md5 b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.md5 deleted file mode 100644 index 35c40d24..00000000 --- a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4da5cc1f47b22f6a4afdbd6ee380bb4d \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.png b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.png deleted file mode 100644 index ba3dde6f..00000000 Binary files a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.map b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.map deleted file mode 100644 index bc05ddf0..00000000 --- a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.md5 b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.md5 deleted file mode 100644 index a556e5fe..00000000 --- a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6f728cb00fd210317af0876c00f90599 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.png b/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.png deleted file mode 100644 index 3869a885..00000000 Binary files a/doc/manual/html/transfer_8c_a4ae4f487bf63b45198fda351e2c87696_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.map b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.map deleted file mode 100644 index d1bb86be..00000000 --- a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.md5 b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.md5 deleted file mode 100644 index 2f176e50..00000000 --- a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -6025a7a026977016580c03182a528213 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.png b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.png deleted file mode 100644 index 01274abd..00000000 Binary files a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.map b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.map deleted file mode 100644 index 7c545382..00000000 --- a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.md5 b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.md5 deleted file mode 100644 index d831d804..00000000 --- a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -1a2428ad4df9f2b3a30f1a7fea39c915 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.png b/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.png deleted file mode 100644 index 3a8df4e7..00000000 Binary files a/doc/manual/html/transfer_8c_a52265dbcef681f416e9a51d4477e268a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.map b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.map deleted file mode 100644 index 82288860..00000000 --- a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.md5 b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.md5 deleted file mode 100644 index 8fa52377..00000000 --- a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f4e322c11b0214cc48f945fc274a622e \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.png b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.png deleted file mode 100644 index 6474f32f..00000000 Binary files a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.map b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.map deleted file mode 100644 index a9942ba8..00000000 --- a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.md5 b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.md5 deleted file mode 100644 index 03ea7b04..00000000 --- a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4b863ba29d7e3c69d74fa3a8a528da3e \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.png b/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.png deleted file mode 100644 index 6c3b118d..00000000 Binary files a/doc/manual/html/transfer_8c_a55cd5cd7416ec0013204f839da1326ef_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.map b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.map deleted file mode 100644 index 65e983be..00000000 --- a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.md5 b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.md5 deleted file mode 100644 index fc398151..00000000 --- a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b8a13cdb13537e2909da7dc10fb0a861 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.png b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.png deleted file mode 100644 index 1908658f..00000000 Binary files a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.map b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.map deleted file mode 100644 index ab9ac50a..00000000 --- a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.md5 b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.md5 deleted file mode 100644 index d3ec7dec..00000000 --- a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d13004c8fa53d5dd5af337a46668029e \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.png b/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.png deleted file mode 100644 index 9f8e0397..00000000 Binary files a/doc/manual/html/transfer_8c_a5c9363d6dd2b5845bc8d41d5c7611d7a_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.map b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.map deleted file mode 100644 index a7099753..00000000 --- a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.md5 b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.md5 deleted file mode 100644 index 7a88961a..00000000 --- a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d44c4ee6840762379ae6578d24adfbbc \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.png b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.png deleted file mode 100644 index 4468513e..00000000 Binary files a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.map b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.map deleted file mode 100644 index 1e9e5244..00000000 --- a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.md5 b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.md5 deleted file mode 100644 index 2880b1b5..00000000 --- a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -518e9bea1332da28143eb08bc86b453b \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.png b/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.png deleted file mode 100644 index 332c3ab2..00000000 Binary files a/doc/manual/html/transfer_8c_a6776393e90246342ec38f567323cbe68_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.map b/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.map deleted file mode 100644 index e17905f2..00000000 --- a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.md5 b/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.md5 deleted file mode 100644 index 4bcb835b..00000000 --- a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -9c6cdbea7f3156c2bedc042ecca3144e \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.png b/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.png deleted file mode 100644 index 453e81e1..00000000 Binary files a/doc/manual/html/transfer_8c_a6debba506b0d424b93b56b8767656d07_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.map b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.map deleted file mode 100644 index ca9847d6..00000000 --- a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.map +++ /dev/null @@ -1,24 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.md5 b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.md5 deleted file mode 100644 index e0266dbd..00000000 --- a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b5c8f96ec1f6133110600ce2f99959b2 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.png b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.png deleted file mode 100644 index 5d683271..00000000 Binary files a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.map b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.map deleted file mode 100644 index 44b2afbe..00000000 --- a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.md5 b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.md5 deleted file mode 100644 index bfff1230..00000000 --- a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a999d7e1fced1328e88323bf053313fc \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.png b/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.png deleted file mode 100644 index 03289317..00000000 Binary files a/doc/manual/html/transfer_8c_a7ed9b28044b1e58d74494915b3ff5b10_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.map b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.map deleted file mode 100644 index 2ddbcd4f..00000000 --- a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.md5 b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.md5 deleted file mode 100644 index 44f064f7..00000000 --- a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -5451ed2992f5a488e59595c1f9b0ac06 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.png b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.png deleted file mode 100644 index eadeebf0..00000000 Binary files a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.map b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.map deleted file mode 100644 index f42c7108..00000000 --- a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.md5 b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.md5 deleted file mode 100644 index 65a104a8..00000000 --- a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -f131bac44c0b5ee2c6ff59281dc74ec1 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.png b/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.png deleted file mode 100644 index 0843d5fc..00000000 Binary files a/doc/manual/html/transfer_8c_a87c33899832bba51d62fbeef87a25fe0_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.map b/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.map deleted file mode 100644 index 60123e28..00000000 --- a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.md5 b/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.md5 deleted file mode 100644 index 46fc522b..00000000 --- a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -77575c92e695d029f011ec1e553f13c5 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.png b/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.png deleted file mode 100644 index 373a5d2d..00000000 Binary files a/doc/manual/html/transfer_8c_a94d64b8304fc2453d448c41716e8c89f_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.map b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.map deleted file mode 100644 index 5fc6eae0..00000000 --- a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.map +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.md5 b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.md5 deleted file mode 100644 index 31363166..00000000 --- a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -291ce4bc3bd5031e9765470ba88ed9a5 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.png b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.png deleted file mode 100644 index 7d641fc1..00000000 Binary files a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.map b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.map deleted file mode 100644 index a50e37f4..00000000 --- a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.md5 b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.md5 deleted file mode 100644 index ab2d238e..00000000 --- a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -7b9a964f01719984787f4c752b84c400 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.png b/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.png deleted file mode 100644 index b8e046e0..00000000 Binary files a/doc/manual/html/transfer_8c_a9b622143337865b857779564eefb2a7b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.map b/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.map deleted file mode 100644 index 0bbffe7f..00000000 --- a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.md5 b/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.md5 deleted file mode 100644 index c729bbea..00000000 --- a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -d4717e31cfa3acf7a13c9467145ecf39 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.png b/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.png deleted file mode 100644 index c01a654c..00000000 Binary files a/doc/manual/html/transfer_8c_a9d50cb722ee213f9c48a77df7ce85cd1_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.map b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.map deleted file mode 100644 index 78357bb5..00000000 --- a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.map +++ /dev/null @@ -1,18 +0,0 @@ - - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.md5 b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.md5 deleted file mode 100644 index f3e4da80..00000000 --- a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -2f6ae018e55ffd6fa86b06f79b198e0f \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.png b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.png deleted file mode 100644 index d8584096..00000000 Binary files a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.map b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.map deleted file mode 100644 index c29963e8..00000000 --- a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.md5 b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.md5 deleted file mode 100644 index a0ae4ff8..00000000 --- a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -4a2d3805b7a6c241037a24405d7d0f91 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.png b/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.png deleted file mode 100644 index 749c7a32..00000000 Binary files a/doc/manual/html/transfer_8c_aa0790ada9b74ac2325edc23a68eb1f72_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.map b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.map deleted file mode 100644 index 47094125..00000000 --- a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.map +++ /dev/null @@ -1,3 +0,0 @@ - - - diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.md5 b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.md5 deleted file mode 100644 index a4af31b3..00000000 --- a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -b5cd827cb8df9b7686198df48329b8f5 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.png b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.png deleted file mode 100644 index 35149bcd..00000000 Binary files a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_cgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.map b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.map deleted file mode 100644 index 2a2404f3..00000000 --- a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.md5 b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.md5 deleted file mode 100644 index 9473fdae..00000000 --- a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cf1cdb7066aa8e9047f849134a00c390 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.png b/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.png deleted file mode 100644 index c62df2d7..00000000 Binary files a/doc/manual/html/transfer_8c_abe288a49a5044b79cef9ea63123fe56b_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.map b/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.map deleted file mode 100644 index 6dfcc5cd..00000000 --- a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.map +++ /dev/null @@ -1,9 +0,0 @@ - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.md5 b/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.md5 deleted file mode 100644 index 8920fc20..00000000 --- a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -23c0585dcecf967b87a5026880db6661 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.png b/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.png deleted file mode 100644 index 3d135ce5..00000000 Binary files a/doc/manual/html/transfer_8c_ac0b2d5188d0476ba4c1a6633c3278dfb_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.map b/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.map deleted file mode 100644 index 8ac4cc4c..00000000 --- a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.md5 b/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.md5 deleted file mode 100644 index 7aced155..00000000 --- a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -243fc5f88c5f09d68a97f7a682006571 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.png b/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.png deleted file mode 100644 index f6ece5c3..00000000 Binary files a/doc/manual/html/transfer_8c_ac3f0d949e2ef800f718c11fdd5c1354e_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.map b/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.map deleted file mode 100644 index 9a1bf597..00000000 --- a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.md5 b/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.md5 deleted file mode 100644 index 27a5e993..00000000 --- a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -cc48f0d788948d1294902f5585811fc9 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.png b/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.png deleted file mode 100644 index f798af9f..00000000 Binary files a/doc/manual/html/transfer_8c_ad0fb04f4bb7b95408de7adbe9e6da505_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.map b/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.map deleted file mode 100644 index 942457b2..00000000 --- a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.md5 b/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.md5 deleted file mode 100644 index 8cdcd1e2..00000000 --- a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a40edd801606c4f09d0fb2ade8741db8 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.png b/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.png deleted file mode 100644 index 87403166..00000000 Binary files a/doc/manual/html/transfer_8c_ad59d5c2a8ace2403d8375883482bbad5_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.map b/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.map deleted file mode 100644 index 59f10e84..00000000 --- a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.md5 b/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.md5 deleted file mode 100644 index a3fc6fd5..00000000 --- a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -ade6a3c82db2a6ec02bc956bae449f14 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.png b/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.png deleted file mode 100644 index 87a59cae..00000000 Binary files a/doc/manual/html/transfer_8c_ad966994d25435082cd027960de7ab356_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.map b/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.map deleted file mode 100644 index 60b5ed3a..00000000 --- a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.map +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - diff --git a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.md5 b/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.md5 deleted file mode 100644 index f73683db..00000000 --- a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a570a0b37ba470feae112cbdd362a567 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.png b/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.png deleted file mode 100644 index 12cd56de..00000000 Binary files a/doc/manual/html/transfer_8c_ae3e81b8369f6de9bc2dc7b8c02e10ceb_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.map b/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.map deleted file mode 100644 index ea062955..00000000 --- a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.md5 b/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.md5 deleted file mode 100644 index 5c3833b5..00000000 --- a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -14c38c0bb39a761e65c0aaf0a7e106f6 \ No newline at end of file diff --git a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.png b/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.png deleted file mode 100644 index a8eb8e0a..00000000 Binary files a/doc/manual/html/transfer_8c_afe1acfe299e7d241e2db5d089db70ca0_icgraph.png and /dev/null differ diff --git a/doc/manual/html/transfer_8h.html b/doc/manual/html/transfer_8h.html deleted file mode 100644 index 592251fa..00000000 --- a/doc/manual/html/transfer_8h.html +++ /dev/null @@ -1,713 +0,0 @@ - - - - - - - -CLASS MANUAL: transfer.h File Reference - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -Data Structures | -Enumerations
    -
    -
    transfer.h File Reference
    -
    -
    -
    #include "nonlinear.h"
    -#include "hyperspherical.h"
    -#include <sys/shm.h>
    -#include <sys/stat.h>
    -#include "errno.h"
    -
    - + Include dependency graph for transfer.h:
    -
    -
    - -
    - + This graph shows which files directly or indirectly include this file:
    -
    -
    - -
    -

    Go to the source code of this file.

    - - - - - - -

    -Data Structures

    struct  transfers
     
    struct  transfer_workspace
     
    - - - -

    -Enumerations

    enum  radial_function_type
     
    -

    Detailed Description

    -

    Documented includes for transfer module.

    -

    Data Structure Documentation

    - -

    ◆ transfers

    - -
    -
    - - - - -
    struct transfers
    -
    -

    Structure containing everything about transfer functions in harmonic space $ \Delta_l^{X} (q) $ that other modules need to know.

    -

    Once initialized by transfer_init(), contains all tables of transfer functions used for interpolation in other modules, for all requested modes (scalar/vector/tensor), initial conditions, types (temperature, polarization, etc), multipoles l, and wavenumbers q.

    -

    Wavenumbers are called q in this module and k in the perturbation module. In flat universes k=q. In non-flat universes q and k differ through q2 = k2 + K(1+m), where m=0,1,2 for scalar, vector, tensor. q should be used throughout the transfer module, except when interpolating or manipulating the source functions S(k,tau) calculated in the perturbation module: for a given value of q, this should be done at the corresponding k(q).

    -

    The content of this structure is entirely computed in this module, given the content of the 'precision', 'bessels', 'background', 'thermodynamics' and 'perturbation' structures.

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -double -lcmb_rescale -

    normally set to one, can be used exceptionally to rescale by hand the CMB lensing potential

    -
    -double -lcmb_tilt -

    normally set to zero, can be used exceptionally to tilt by hand the CMB lensing potential

    -
    -double -lcmb_pivot -

    if lcmb_tilt non-zero, corresponding pivot scale

    -
    -double -selection_bias[_SELECTION_NUM_MAX_] -

    light-to-mass bias in the transfer function of density number count

    -
    -double -selection_magnification_bias[_SELECTION_NUM_MAX_] -

    magnification bias in the transfer function of density number count

    -
    -short -has_nz_file -

    Has dN/dz (selection function) input file?

    -
    -short -has_nz_analytic -

    Use analytic form for dN/dz (selection function) distribution?

    -
    -FileName -nz_file_name -

    dN/dz (selection function) input file name

    -
    -int -nz_size -

    number of redshift values in input tabulated selection function

    -
    -double * -nz_z -

    redshift values in input tabulated selection function

    -
    -double * -nz_nz -

    input tabulated values of selection function

    -
    -double * -nz_ddnz -

    second derivatives in splined selection function

    -
    -short -has_nz_evo_file -

    Has dN/dz (evolution function) input file?

    -
    -short -has_nz_evo_analytic -

    Use analytic form for dN/dz (evolution function) distribution?

    -
    -FileName -nz_evo_file_name -

    dN/dz (evolution function) input file name

    -
    -int -nz_evo_size -

    number of redshift values in input tabulated evolution function

    -
    -double * -nz_evo_z -

    redshift values in input tabulated evolution function

    -
    -double * -nz_evo_nz -

    input tabulated values of evolution function

    -
    -double * -nz_evo_dlog_nz -

    log of tabulated values of evolution function

    -
    -double * -nz_evo_dd_dlog_nz -

    second derivatives in splined log of evolution function

    -
    -short -has_cls -

    copy of same flag in perturbation structure

    -
    -int -md_size -

    number of modes included in computation

    -
    -int -index_tt_t0 -

    index for transfer type = temperature (j=0 term)

    -
    -int -index_tt_t1 -

    index for transfer type = temperature (j=1 term)

    -
    -int -index_tt_t2 -

    index for transfer type = temperature (j=2 term)

    -
    -int -index_tt_e -

    index for transfer type = E-polarization

    -
    -int -index_tt_b -

    index for transfer type = B-polarization

    -
    -int -index_tt_lcmb -

    index for transfer type = CMB lensing

    -
    -int -index_tt_density -

    index for first bin of transfer type = matter density

    -
    -int -index_tt_lensing -

    index for first bin of transfer type = galaxy lensing

    -
    -int -index_tt_rsd -

    index for first bin of transfer type = redshift space distortion of number count

    -
    -int -index_tt_d0 -

    index for first bin of transfer type = doppler effect for of number count (j=0 term)

    -
    -int -index_tt_d1 -

    index for first bin of transfer type = doppler effect for of number count (j=1 term)

    -
    -int -index_tt_nc_lens -

    index for first bin of transfer type = lensing for of number count

    -
    -int -index_tt_nc_g1 -

    index for first bin of transfer type = gravity term G1 for of number count

    -
    -int -index_tt_nc_g2 -

    index for first bin of transfer type = gravity term G2 for of number count

    -
    -int -index_tt_nc_g3 -

    index for first bin of transfer type = gravity term G3 for of number count

    -
    -int -index_tt_nc_g4 -

    index for first bin of transfer type = gravity term G3 for of number count

    -
    -int -index_tt_nc_g5 -

    index for first bin of transfer type = gravity term G3 for of number count

    -
    -int * -tt_size -

    number of requested transfer types tt_size[index_md] for each mode

    -
    -int ** -l_size_tt -

    number of multipole values for which we effectively compute the transfer function,l_size_tt[index_md][index_tt]

    -
    -int * -l_size -

    number of multipole values for each requested mode, l_size[index_md]

    -
    -int -l_size_max -

    greatest of all l_size[index_md]

    -
    -int * -l -

    list of multipole values l[index_l]

    -
    -double -angular_rescaling -

    correction between l and k space due to curvature (= comoving angular diameter distance to recombination / comoving radius to recombination)

    -
    -size_t -q_size -

    number of wavenumber values

    -
    -double * -q -

    list of wavenumber values, q[index_q]

    -
    -double ** -k -

    list of wavenumber values for each requested mode, k[index_md][index_q]. In flat universes k=q. In non-flat universes q and k differ through q2 = k2 + K(1+m), where m=0,1,2 for scalar, vector, tensor. q should be used throughout the transfer module, excepted when interpolating or manipulating the source functions S(k,tau): for a given value of q this should be done in k(q).

    -
    -int -index_q_flat_approximation -

    index of the first q value using the flat rescaling approximation

    -
    -double ** -transfer -

    table of transfer functions for each mode, initial condition, type, multipole and wavenumber, with argument transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) * ptr->l_size[index_md] + index_l) * ptr->q_size + index_q]

    -
    -short -initialise_HIS_cache -

    only true if we are using CLASS for setting up a cache of HIS structures

    -
    -short -transfer_verbose -

    flag regulating the amount of information sent to standard output (none if set to zero)

    -
    -ErrorMsg -error_message -

    zone for writing error messages

    -
    - -
    -
    - -

    ◆ transfer_workspace

    - -
    -
    - - - - -
    struct transfer_workspace
    -
    -

    Structure containing all the quantities that each thread needs to know for computing transfer functions (but that can be forgotten once the transfer functions are known, otherwise they would be stored in the transfer module)

    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Data Fields
    -HyperInterpStruct -HIS -

    structure containing all hyperspherical bessel functions (flat case) or all hyperspherical bessel functions for a given value of beta=q/sqrt(|K|) (non-flat case). HIS = Hyperspherical Interpolation Structure.

    -
    -int -HIS_allocated -

    flag specifying whether the previous structure has been allocated

    -
    -HyperInterpStruct * -pBIS -

    pointer to structure containing all the spherical bessel functions of the flat case (used even in the non-flat case, for approximation schemes). pBIS = pointer to Bessel Interpolation Structure.

    -
    -int -l_size -

    number of l values

    -
    -int -tau_size -

    number of discrete time values for a given type

    -
    -int -tau_size_max -

    maximum number of discrete time values for all types

    -
    -double * -interpolated_sources -

    interpolated_sources[index_tau]: sources interpolated from the perturbation module at the right value of k

    -
    -double * -sources -

    sources[index_tau]: sources used in transfer module, possibly differing from those in the perturbation module by some resampling or rescaling

    -
    -double * -tau0_minus_tau -

    tau0_minus_tau[index_tau]: values of (tau0 - tau)

    -
    -double * -w_trapz -

    w_trapz[index_tau]: values of weights in trapezoidal integration (related to time steps)

    -
    -double * -chi -

    chi[index_tau]: value of argument of bessel function: k(tau0-tau) (flat case) or sqrt(|K|)(tau0-tau) (non-flat case)

    -
    -double * -cscKgen -

    cscKgen[index_tau]: useful trigonometric function

    -
    -double * -cotKgen -

    cotKgen[index_tau]: useful trigonometric function

    -
    -double -K -

    curvature parameter (see background module for details)

    -
    -int -sgnK -

    0 (flat), 1 (positive curvature, spherical, closed), -1 (negative curvature, hyperbolic, open)

    -
    -double -tau0_minus_tau_cut -

    critical value of (tau0-tau) in time cut approximation for the wavenumber at hand

    -
    -short -neglect_late_source -

    flag stating whether we use the time cut approximation for the wavenumber at hand

    -
    - -
    -
    -

    Enumeration Type Documentation

    - -

    ◆ radial_function_type

    - -
    -
    - - - - -
    enum radial_function_type
    -
    -

    enumeration of possible source types. This looks redundant with respect to the definition of indices index_tt_... This definition is however convenient and time-saving: it allows to use a "case" statement in transfer_radial_function()

    - -
    -
    -
    -
    - - - - diff --git a/doc/manual/html/transfer_8h.js b/doc/manual/html/transfer_8h.js deleted file mode 100644 index eed72a63..00000000 --- a/doc/manual/html/transfer_8h.js +++ /dev/null @@ -1,78 +0,0 @@ -var transfer_8h = -[ - [ "transfers", "transfer_8h.html#structtransfers", [ - [ "lcmb_rescale", "transfer_8h.html#a8c2f7acb96ae31d0faf207ffce762ae4", null ], - [ "lcmb_tilt", "transfer_8h.html#a6db5c71e92b75d127a1ca1903d4142b9", null ], - [ "lcmb_pivot", "transfer_8h.html#a91095384810847be0636e449c0212e24", null ], - [ "selection_bias", "transfer_8h.html#a11fc80f50096e99f698479c1430076c7", null ], - [ "selection_magnification_bias", "transfer_8h.html#a0f38a4074b6dd8d95379b8e171e54533", null ], - [ "has_nz_file", "transfer_8h.html#a14e959fc0d7bda1024931143936ccc66", null ], - [ "has_nz_analytic", "transfer_8h.html#af262b11017ed9d84c33310b9c00abe4c", null ], - [ "nz_file_name", "transfer_8h.html#a35378a07a9177c5f0e9eee5be9f4637b", null ], - [ "nz_size", "transfer_8h.html#a0f728ad0ee27fe37d42caa1235a25481", null ], - [ "nz_z", "transfer_8h.html#a710ee27a2ec706be1e1b7ff1f9a1e00d", null ], - [ "nz_nz", "transfer_8h.html#a1b82292c5519d4f60b1f7265f64fcd2e", null ], - [ "nz_ddnz", "transfer_8h.html#a8a60fad65c936fd7c8efcd18e30a7dec", null ], - [ "has_nz_evo_file", "transfer_8h.html#a7ce510733fc12ca3c9d2ac98cf1d3b08", null ], - [ "has_nz_evo_analytic", "transfer_8h.html#a3416018376bd5fa824e70d0d6fe13895", null ], - [ "nz_evo_file_name", "transfer_8h.html#ade3591562b4b9f7fc163e7048fea7e3c", null ], - [ "nz_evo_size", "transfer_8h.html#ab1f9d920837a0d1e6f291392896e9856", null ], - [ "nz_evo_z", "transfer_8h.html#ac6807420f6f385c94a901a1bb9646ea0", null ], - [ "nz_evo_nz", "transfer_8h.html#a33850a8009e5e6f03a028f5121313081", null ], - [ "nz_evo_dlog_nz", "transfer_8h.html#a07477648687d9b344a838ac4545a39ce", null ], - [ "nz_evo_dd_dlog_nz", "transfer_8h.html#ae3d34e1bf2485dfc59d3885714fe23e9", null ], - [ "has_cls", "transfer_8h.html#a65e35e7d6e4c4dd0c96a9433c359151b", null ], - [ "md_size", "transfer_8h.html#acc9c66aebf8723431d019b397747a8cc", null ], - [ "index_tt_t0", "transfer_8h.html#ae76221d1ecb49a5301442a5f1e645fc8", null ], - [ "index_tt_t1", "transfer_8h.html#a38951c39518476293faac7ba5b8e9cbc", null ], - [ "index_tt_t2", "transfer_8h.html#aedff0d133dc3978314794d69b000334c", null ], - [ "index_tt_e", "transfer_8h.html#a94f7cbc04ea096cdb56a6133d11080be", null ], - [ "index_tt_b", "transfer_8h.html#a82a1d94ef6b6cbe00354cf304f2d1d32", null ], - [ "index_tt_lcmb", "transfer_8h.html#a0be3e4b5fcca0a20dcc34ed0203a883e", null ], - [ "index_tt_density", "transfer_8h.html#aa413c9cefbd2d69d011137e96f63856e", null ], - [ "index_tt_lensing", "transfer_8h.html#aa016c0480d791288cd3e2ff053611461", null ], - [ "index_tt_rsd", "transfer_8h.html#ac7d19621ec7f258ec02d18f6a9be04b0", null ], - [ "index_tt_d0", "transfer_8h.html#a8719ee8f1faf31461af8b576c61fce1b", null ], - [ "index_tt_d1", "transfer_8h.html#a1530d7a84b7d6084ed4ddcd43d78ac45", null ], - [ "index_tt_nc_lens", "transfer_8h.html#a5f982c59c781971c1d527c2bef3f338c", null ], - [ "index_tt_nc_g1", "transfer_8h.html#a5eab0bab2cc9f40c1a5a5c864412fd59", null ], - [ "index_tt_nc_g2", "transfer_8h.html#a14f418bd2a1c01cde6d7b32dab8b3902", null ], - [ "index_tt_nc_g3", "transfer_8h.html#aef72fdad8da8bc361c9e2bed5952745e", null ], - [ "index_tt_nc_g4", "transfer_8h.html#ae02d495059914dddb81954fa1fac1bf3", null ], - [ "index_tt_nc_g5", "transfer_8h.html#a39dc383033082ee7a2c34f34a56c011f", null ], - [ "tt_size", "transfer_8h.html#a06814905fb421cddb40e89f355e99be2", null ], - [ "l_size_tt", "transfer_8h.html#a0ae5457b1b8904a89150ff13d3eb0c6e", null ], - [ "l_size", "transfer_8h.html#ae917edcaaca1b905211ed1a41eda8c1c", null ], - [ "l_size_max", "transfer_8h.html#a103c59aede115134d0063b78081b3075", null ], - [ "l", "transfer_8h.html#a9c53323b5d6815b19ff3ba8367bf059e", null ], - [ "angular_rescaling", "transfer_8h.html#ae6b712f4da87f45c21db8f4a4c05d7fa", null ], - [ "q_size", "transfer_8h.html#aa36717abc1082ae0c8e6d1562ee067dd", null ], - [ "q", "transfer_8h.html#ae30e3941f8bfc39fb2cf57804c7703b1", null ], - [ "k", "transfer_8h.html#a952f100434c9914599e07976a0eb1b4f", null ], - [ "index_q_flat_approximation", "transfer_8h.html#abe42ba40eb07199c939aafb173cb0da3", null ], - [ "transfer", "transfer_8h.html#a163fba8d0845cca9746f62f670495bad", null ], - [ "initialise_HIS_cache", "transfer_8h.html#a376c57dad5375aa4b9fbb6d7455b886e", null ], - [ "transfer_verbose", "transfer_8h.html#afaa03b27d03939202850b360ad72b6bc", null ], - [ "error_message", "transfer_8h.html#acbb8a854ea85db2e34b18f18c4cca9ca", null ] - ] ], - [ "transfer_workspace", "transfer_8h.html#structtransfer__workspace", [ - [ "HIS", "transfer_8h.html#aa81c012b8c0040001cedd2240dcf03be", null ], - [ "HIS_allocated", "transfer_8h.html#aa82073c726b255bc6d85aa2ed7e59b2f", null ], - [ "pBIS", "transfer_8h.html#ac0a4a7ac556b373d5afde27e75c1cba2", null ], - [ "l_size", "transfer_8h.html#a8b96d30c1ef94e11aa4200c13e865d41", null ], - [ "tau_size", "transfer_8h.html#a687f3dc5e1e24c16db6feb562de9477d", null ], - [ "tau_size_max", "transfer_8h.html#ae456d6ef31a91fe0adc33af4260fe547", null ], - [ "interpolated_sources", "transfer_8h.html#ad9de9e9288051713fff7e15845d379d8", null ], - [ "sources", "transfer_8h.html#a7e1b7745f896916e019150d8b9261755", null ], - [ "tau0_minus_tau", "transfer_8h.html#ac173b95d9119c27f08bb0eca6e0a585e", null ], - [ "w_trapz", "transfer_8h.html#a494d2fb2fd39b12fcf6f9628724e9d28", null ], - [ "chi", "transfer_8h.html#a48c29fdc48117dddcb0b4a872f1eea0a", null ], - [ "cscKgen", "transfer_8h.html#a17cecce242bacda64a431ca5f1532a30", null ], - [ "cotKgen", "transfer_8h.html#acd80ed43dfaa2eadf1695c8fd4f5b076", null ], - [ "K", "transfer_8h.html#a3dfb6eba621f9b11a4b3edf4be42d176", null ], - [ "sgnK", "transfer_8h.html#af43bd9bd9693d9dfda296b136adcfe80", null ], - [ "tau0_minus_tau_cut", "transfer_8h.html#a2850c0e6097bdd5e63fce840c199c248", null ], - [ "neglect_late_source", "transfer_8h.html#acc5b2260d1eb28b9fb12e7dd67b75e0f", null ] - ] ], - [ "radial_function_type", "transfer_8h.html#af3f4670b8918a9905edf8d0c2c5ce32b", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/transfer_8h__dep__incl.map b/doc/manual/html/transfer_8h__dep__incl.map deleted file mode 100644 index fb50d8fc..00000000 --- a/doc/manual/html/transfer_8h__dep__incl.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8h__dep__incl.md5 b/doc/manual/html/transfer_8h__dep__incl.md5 deleted file mode 100644 index 66203746..00000000 --- a/doc/manual/html/transfer_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -910464bdde32d5e737d357de06274194 \ No newline at end of file diff --git a/doc/manual/html/transfer_8h__dep__incl.png b/doc/manual/html/transfer_8h__dep__incl.png deleted file mode 100644 index 3270a044..00000000 Binary files a/doc/manual/html/transfer_8h__dep__incl.png and /dev/null differ diff --git a/doc/manual/html/transfer_8h__incl.map b/doc/manual/html/transfer_8h__incl.map deleted file mode 100644 index a10174dd..00000000 --- a/doc/manual/html/transfer_8h__incl.map +++ /dev/null @@ -1,17 +0,0 @@ - - - - - - - - - - - - - - - - - diff --git a/doc/manual/html/transfer_8h__incl.md5 b/doc/manual/html/transfer_8h__incl.md5 deleted file mode 100644 index 695e40c7..00000000 --- a/doc/manual/html/transfer_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -4a50a362363699b8d5b6cfeca339e357 \ No newline at end of file diff --git a/doc/manual/html/transfer_8h__incl.png b/doc/manual/html/transfer_8h__incl.png deleted file mode 100644 index 562c80c3..00000000 Binary files a/doc/manual/html/transfer_8h__incl.png and /dev/null differ diff --git a/doc/manual/html/transfer_8h_source.html b/doc/manual/html/transfer_8h_source.html deleted file mode 100644 index 7f1e7cde..00000000 --- a/doc/manual/html/transfer_8h_source.html +++ /dev/null @@ -1,202 +0,0 @@ - - - - - - - -CLASS MANUAL: transfer.h Source File - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    CLASS MANUAL -
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    -
    -
    transfer.h
    -
    -
    -Go to the documentation of this file.
    1 
    3 #ifndef __TRANSFER__
    4 #define __TRANSFER__
    5 
    6 #include "nonlinear.h"
    7 #include "hyperspherical.h"
    8 #include <sys/shm.h>
    9 #include <sys/stat.h>
    10 #include "errno.h"
    11 
    12 /* macro: test if index_tt is in the range between index and index+num, while the flag is true */
    13 #define _index_tt_in_range_(index,num,flag) (flag == _TRUE_) && (index_tt >= index) && (index_tt < index+num)
    14 
    38 struct transfers {
    39 
    45 
    46  double lcmb_rescale;
    49  double lcmb_tilt;
    52  double lcmb_pivot;
    55  double selection_bias[_SELECTION_NUM_MAX_];
    56  double selection_magnification_bias[_SELECTION_NUM_MAX_];
    58  short has_nz_file;
    59  short has_nz_analytic;
    60  FileName nz_file_name;
    61  int nz_size;
    62  double * nz_z;
    63  double * nz_nz;
    64  double * nz_ddnz;
    66  short has_nz_evo_file;
    67  short has_nz_evo_analytic;
    68  FileName nz_evo_file_name;
    69  int nz_evo_size;
    70  double * nz_evo_z;
    71  double * nz_evo_nz;
    72  double * nz_evo_dlog_nz;
    73  double * nz_evo_dd_dlog_nz;
    76 
    80 
    81  short has_cls;
    84 
    88 
    89  int md_size;
    91  int index_tt_t0;
    92  int index_tt_t1;
    93  int index_tt_t2;
    94  int index_tt_e;
    95  int index_tt_b;
    96  int index_tt_lcmb;
    97  int index_tt_density;
    98  int index_tt_lensing;
    100  int index_tt_rsd;
    101  int index_tt_d0;
    102  int index_tt_d1;
    103  int index_tt_nc_lens;
    104  int index_tt_nc_g1;
    105  int index_tt_nc_g2;
    106  int index_tt_nc_g3;
    107  int index_tt_nc_g4;
    108  int index_tt_nc_g5;
    110  int * tt_size;
    113 
    117 
    118  int ** l_size_tt;
    120  int * l_size;
    122  int l_size_max;
    124  int * l;
    126  //int * l_size_bessel; /**< for each wavenumber, maximum value of l at which bessel functions must be evaluated */
    127 
    128  double angular_rescaling;
    131 
    135 
    136  size_t q_size;
    138  double * q;
    140  double ** k;
    142  int index_q_flat_approximation;
    145 
    149 
    150  double ** transfer;
    153 
    157 
    158  short initialise_HIS_cache;
    160  short transfer_verbose;
    162  ErrorMsg error_message;
    165 };
    166 
    174 struct transfer_workspace {
    175 
    179 
    180  HyperInterpStruct HIS;
    182  int HIS_allocated;
    184  HyperInterpStruct * pBIS;
    186  int l_size;
    189 
    193 
    194  int tau_size;
    195  int tau_size_max;
    196  double * interpolated_sources;
    200  double * sources;
    205  double * tau0_minus_tau;
    206  double * w_trapz;
    207  double * chi;
    211  double * cscKgen;
    212  double * cotKgen;
    215 
    219 
    220  double K;
    221  int sgnK;
    224 
    225  double tau0_minus_tau_cut;
    226  short neglect_late_source;
    227 };
    228 
    236 typedef enum {SCALAR_TEMPERATURE_0,
    237  SCALAR_TEMPERATURE_1,
    238  SCALAR_TEMPERATURE_2,
    239  SCALAR_POLARISATION_E,
    240  VECTOR_TEMPERATURE_1,
    241  VECTOR_TEMPERATURE_2,
    242  VECTOR_POLARISATION_E,
    243  VECTOR_POLARISATION_B,
    244  TENSOR_TEMPERATURE_2,
    245  TENSOR_POLARISATION_E,
    246  TENSOR_POLARISATION_B,
    247  NC_RSD} radial_function_type;
    248 
    249 enum Hermite_Interpolation_Order {HERMITE3, HERMITE4, HERMITE6};
    250 
    251 /*************************************************************************************************************/
    252 /* @cond INCLUDE_WITH_DOXYGEN */
    253 /*
    254  * Boilerplate for C++
    255  */
    256 #ifdef __cplusplus
    257 extern "C" {
    258 #endif
    259 
    260  int transfer_functions_at_q(
    261  struct transfers * ptr,
    262  int index_md,
    263  int index_ic,
    264  int index_type,
    265  int index_l,
    266  double q,
    267  double * ptransfer_local
    268  );
    269 
    270  int transfer_init(
    271  struct precision * ppr,
    272  struct background * pba,
    273  struct thermo * pth,
    274  struct perturbs * ppt,
    275  struct nonlinear * pnl,
    276  struct transfers * ptr
    277  );
    278 
    279  int transfer_free(
    280  struct transfers * ptr
    281  );
    282 
    283  int transfer_indices_of_transfers(
    284  struct precision * ppr,
    285  struct perturbs * ppt,
    286  struct transfers * ptr,
    287  double q_period,
    288  double K,
    289  int sgnK
    290  );
    291 
    292  int transfer_perturbation_copy_sources_and_nl_corrections(
    293  struct perturbs * ppt,
    294  struct nonlinear * pnl,
    295  struct transfers * ptr,
    296  double *** sources
    297  );
    298 
    299  int transfer_perturbation_source_spline(
    300  struct perturbs * ppt,
    301  struct transfers * ptr,
    302  double *** sources,
    303  double *** sources_spline
    304  );
    305 
    306  int transfer_perturbation_sources_free(
    307  struct perturbs * ppt,
    308  struct nonlinear * pnl,
    309  struct transfers * ptr,
    310  double *** sources
    311  );
    312 
    313  int transfer_perturbation_sources_spline_free(
    314  struct perturbs * ppt,
    315  struct transfers * ptr,
    316  double *** sources_spline
    317  );
    318 
    319  int transfer_get_l_list(
    320  struct precision * ppr,
    321  struct perturbs * ppt,
    322  struct transfers * ptr
    323  );
    324 
    325  int transfer_get_q_list(
    326  struct precision * ppr,
    327  struct perturbs * ppt,
    328  struct transfers * ptr,
    329  double q_period,
    330  double K,
    331  int sgnK
    332  );
    333 
    334  int transfer_get_q_list_v1(
    335  struct precision * ppr,
    336  struct perturbs * ppt,
    337  struct transfers * ptr,
    338  double q_period,
    339  double K,
    340  int sgnK
    341  );
    342 
    343  int transfer_get_k_list(
    344  struct perturbs * ppt,
    345  struct transfers * ptr,
    346  double K
    347  );
    348 
    349  int transfer_get_source_correspondence(
    350  struct perturbs * ppt,
    351  struct transfers * ptr,
    352  int ** tp_of_tt
    353  );
    354 
    355  int transfer_free_source_correspondence(
    356  struct transfers * ptr,
    357  int ** tp_of_tt
    358  );
    359 
    360  int transfer_source_tau_size_max(
    361  struct precision * ppr,
    362  struct background * pba,
    363  struct perturbs * ppt,
    364  struct transfers * ptr,
    365  double tau_rec,
    366  double tau0,
    367  int * tau_size_max
    368  );
    369 
    370  int transfer_source_tau_size(
    371  struct precision * ppr,
    372  struct background * pba,
    373  struct perturbs * ppt,
    374  struct transfers * ptr,
    375  double tau_rec,
    376  double tau0,
    377  int index_md,
    378  int index_tt,
    379  int * tau_size
    380  );
    381 
    382  int transfer_compute_for_each_q(
    383  struct precision * ppr,
    384  struct background * pba,
    385  struct perturbs * ppt,
    386  struct transfers * ptr,
    387  int ** tp_of_tt,
    388  int index_q,
    389  int tau_size_max,
    390  double tau_rec,
    391  double *** sources,
    392  double *** sources_spline,
    393  struct transfer_workspace * ptw
    394  );
    395 
    396  int transfer_radial_coordinates(
    397  struct transfers * ptr,
    398  struct transfer_workspace * ptw,
    399  int index_md,
    400  int index_q
    401  );
    402 
    403  int transfer_interpolate_sources(
    404  struct perturbs * ppt,
    405  struct transfers * ptr,
    406  int index_q,
    407  int index_md,
    408  int index_ic,
    409  int index_type,
    410  double * sources,
    411  double * source_spline,
    412  double * interpolated_sources
    413  );
    414 
    415  int transfer_sources(
    416  struct precision * ppr,
    417  struct background * pba,
    418  struct perturbs * ppt,
    419  struct transfers * ptr,
    420  double * interpolated_sources,
    421  double tau_rec,
    422  int index_q,
    423  int index_md,
    424  int index_tt,
    425  double * sources,
    426  double * tau0_minus_tau,
    427  double * delta_tau,
    428  int * tau_size_out
    429  );
    430 
    431  int transfer_selection_function(
    432  struct precision * ppr,
    433  struct perturbs * ppt,
    434  struct transfers * ptr,
    435  int bin,
    436  double z,
    437  double * selection);
    438 
    439  int transfer_dNdz_analytic(
    440  struct transfers * ptr,
    441  double z,
    442  double * dNdz,
    443  double * dln_dNdz_dz);
    444 
    445  int transfer_selection_sampling(
    446  struct precision * ppr,
    447  struct background * pba,
    448  struct perturbs * ppt,
    449  struct transfers * ptr,
    450  int bin,
    451  double * tau0_minus_tau,
    452  int tau_size);
    453 
    454  int transfer_lensing_sampling(
    455  struct precision * ppr,
    456  struct background * pba,
    457  struct perturbs * ppt,
    458  struct transfers * ptr,
    459  int bin,
    460  double tau0,
    461  double * tau0_minus_tau,
    462  int tau_size);
    463 
    464  int transfer_source_resample(
    465  struct precision * ppr,
    466  struct background * pba,
    467  struct perturbs * ppt,
    468  struct transfers * ptr,
    469  int bin,
    470  double * tau0_minus_tau,
    471  int tau_size,
    472  int index_md,
    473  double tau0,
    474  double * interpolated_sources,
    475  double * sources);
    476 
    477  int transfer_selection_times(
    478  struct precision * ppr,
    479  struct background * pba,
    480  struct perturbs * ppt,
    481  struct transfers * ptr,
    482  int bin,
    483  double * tau_min,
    484  double * tau_mean,
    485  double * tau_max);
    486 
    487  int transfer_selection_compute(
    488  struct precision * ppr,
    489  struct background * pba,
    490  struct perturbs * ppt,
    491  struct transfers * ptr,
    492  double * selection,
    493  double * tau0_minus_tau,
    494  double * delta_tau,
    495  int tau_size,
    496  double * pvecback,
    497  double tau0,
    498  int bin);
    499 
    500  int transfer_compute_for_each_l(
    501  struct transfer_workspace * ptw,
    502  struct precision * ppr,
    503  struct perturbs * ppt,
    504  struct transfers * ptr,
    505  int index_q,
    506  int index_md,
    507  int index_ic,
    508  int index_tt,
    509  int index_l,
    510  double l,
    511  double q_max_bessel,
    512  radial_function_type radial_type
    513  );
    514 
    515  int transfer_use_limber(
    516  struct precision * ppr,
    517  struct perturbs * ppt,
    518  struct transfers * ptr,
    519  double q_max_bessel,
    520  int index_md,
    521  int index_tt,
    522  double q,
    523  double l,
    524  short * use_limber
    525  );
    526 
    527  int transfer_integrate(
    528  struct perturbs * ppt,
    529  struct transfers * ptr,
    530  struct transfer_workspace *ptw,
    531  int index_q,
    532  int index_md,
    533  int index_tt,
    534  double l,
    535  int index_l,
    536  double q,
    537  radial_function_type radial_type,
    538  double * trsf
    539  );
    540 
    541  int transfer_limber(
    542  struct transfers * ptr,
    543  struct transfer_workspace * ptw,
    544  int index_md,
    545  int index_q,
    546  double l,
    547  double q,
    548  radial_function_type radial_type,
    549  double * trsf
    550  );
    551 
    552  int transfer_limber_interpolate(
    553  struct transfers * ptr,
    554  double * tau0_minus_tau,
    555  double * sources,
    556  int tau_size,
    557  double tau0_minus_tau_limber,
    558  double * S
    559  );
    560 
    561  int transfer_limber2(
    562  int tau_size,
    563  struct transfers * ptr,
    564  int index_md,
    565  int index_q,
    566  double l,
    567  double q,
    568  double * tau0_minus_tau,
    569  double * sources,
    570  radial_function_type radial_type,
    571  double * trsf
    572  );
    573 
    574  int transfer_can_be_neglected(
    575  struct precision * ppr,
    576  struct perturbs * ppt,
    577  struct transfers * ptr,
    578  int index_md,
    579  int index_ic,
    580  int index_tt,
    581  double ra_rec,
    582  double q,
    583  double l,
    584  short * neglect
    585  );
    586 
    587  int transfer_late_source_can_be_neglected(
    588  struct precision * ppr,
    589  struct perturbs * ppt,
    590  struct transfers * ptr,
    591  int index_md,
    592  int index_tt,
    593  double l,
    594  short * neglect);
    595 
    596  int transfer_select_radial_function(
    597  struct perturbs * ppt,
    598  struct transfers * ptr,
    599  int index_md,
    600  int index_tt,
    601  radial_function_type *radial_type
    602  );
    603 
    604  int transfer_radial_function(
    605  struct transfer_workspace * ptw,
    606  struct perturbs * ppt,
    607  struct transfers * ptr,
    608  double k,
    609  int index_q,
    610  int index_l,
    611  int x_size,
    612  double * radial_function,
    613  radial_function_type radial_type
    614  );
    615 
    616  int transfer_init_HIS_from_bessel(
    617  struct transfers * ptr,
    618  HyperInterpStruct *pHIS
    619  );
    620 
    621  int transfer_global_selection_read(
    622  struct transfers * ptr
    623  );
    624 
    625  int transfer_workspace_init(
    626  struct transfers * ptr,
    627  struct precision * ppr,
    628  struct transfer_workspace **ptw,
    629  int perturb_tau_size,
    630  int tau_size_max,
    631  double K,
    632  int sgnK,
    633  double tau0_minus_tau_cut,
    634  HyperInterpStruct * pBIS
    635  );
    636 
    637  int transfer_workspace_free(
    638  struct transfers * ptr,
    639  struct transfer_workspace *ptw
    640  );
    641 
    642  int transfer_update_HIS(
    643  struct precision * ppr,
    644  struct transfers * ptr,
    645  struct transfer_workspace * ptw,
    646  int index_q,
    647  double tau0
    648  );
    649 
    650  int transfer_get_lmax(int (*get_xmin_generic)(int sgnK,
    651  int l,
    652  double nu,
    653  double xtol,
    654  double phiminabs,
    655  double *x_nonzero,
    656  int *fevals),
    657  int sgnK,
    658  double nu,
    659  int *lvec,
    660  int lsize,
    661  double phiminabs,
    662  double xmax,
    663  double xtol,
    664  int *index_l_left,
    665  int *index_l_right,
    666  ErrorMsg error_message);
    667 
    668 #ifdef __cplusplus
    669 }
    670 #endif
    671 
    672 #endif
    673 /* @endcond */
    transfer_workspace::tau_size
    int tau_size
    Definition: transfer.h:194
    -
    background
    Definition: background.h:31
    -
    transfers::selection_magnification_bias
    double selection_magnification_bias[_SELECTION_NUM_MAX_]
    Definition: transfer.h:56
    -
    transfers::index_tt_e
    int index_tt_e
    Definition: transfer.h:94
    -
    transfer_compute_for_each_l
    int transfer_compute_for_each_l(struct transfer_workspace *ptw, struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, int index_q, int index_md, int index_ic, int index_tt, int index_l, double l, double q_max_bessel, radial_function_type radial_type)
    Definition: transfer.c:3456
    -
    transfer_lensing_sampling
    int transfer_lensing_sampling(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double tau0, double *tau0_minus_tau, int tau_size)
    Definition: transfer.c:3132
    -
    transfers::has_cls
    short has_cls
    Definition: transfer.h:81
    -
    transfer_workspace::HIS
    HyperInterpStruct HIS
    Definition: transfer.h:180
    -
    transfer_get_l_list
    int transfer_get_l_list(struct precision *ppr, struct perturbs *ppt, struct transfers *ptr)
    Definition: transfer.c:804
    -
    transfer_selection_times
    int transfer_selection_times(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau_min, double *tau_mean, double *tau_max)
    Definition: transfer.c:3256
    -
    transfers::nz_evo_file_name
    FileName nz_evo_file_name
    Definition: transfer.h:68
    -
    transfer_workspace::tau_size_max
    int tau_size_max
    Definition: transfer.h:195
    - -
    transfers::index_tt_nc_lens
    int index_tt_nc_lens
    Definition: transfer.h:103
    -
    transfer_free
    int transfer_free(struct transfers *ptr)
    Definition: transfer.c:420
    -
    transfer_functions_at_q
    int transfer_functions_at_q(struct transfers *ptr, int index_md, int index_ic, int index_tt, int index_l, double q, double *transfer_function)
    Definition: transfer.c:61
    -
    transfers::nz_file_name
    FileName nz_file_name
    Definition: transfer.h:60
    -
    perturbs
    Definition: perturbations.h:95
    -
    transfer_workspace::chi
    double * chi
    Definition: transfer.h:207
    -
    transfer_sources
    int transfer_sources(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double *interpolated_sources, double tau_rec, int index_q, int index_md, int index_tt, double *sources, double *tau0_minus_tau, double *w_trapz, int *tau_size_out)
    Definition: transfer.c:2078
    -
    transfer_get_source_correspondence
    int transfer_get_source_correspondence(struct perturbs *ppt, struct transfers *ptr, int **tp_of_tt)
    Definition: transfer.c:1311
    -
    transfers::nz_evo_z
    double * nz_evo_z
    Definition: transfer.h:70
    -
    thermo
    Definition: thermodynamics.h:58
    -
    transfer_interpolate_sources
    int transfer_interpolate_sources(struct perturbs *ppt, struct transfers *ptr, int index_q, int index_md, int index_ic, int index_type, double *pert_source, double *pert_source_spline, double *interpolated_sources)
    Definition: transfer.c:1994
    -
    transfer_integrate
    int transfer_integrate(struct perturbs *ppt, struct transfers *ptr, struct transfer_workspace *ptw, int index_q, int index_md, int index_tt, double l, int index_l, double k, radial_function_type radial_type, double *trsf)
    Definition: transfer.c:3642
    -
    transfers::selection_bias
    double selection_bias[_SELECTION_NUM_MAX_]
    Definition: transfer.h:55
    -
    transfers::nz_nz
    double * nz_nz
    Definition: transfer.h:63
    -
    transfers::index_tt_nc_g5
    int index_tt_nc_g5
    Definition: transfer.h:108
    -
    transfers::transfer
    double ** transfer
    Definition: transfer.h:150
    -
    transfers::index_tt_nc_g3
    int index_tt_nc_g3
    Definition: transfer.h:106
    -
    transfers::index_tt_density
    int index_tt_density
    Definition: transfer.h:97
    -
    transfers::nz_size
    int nz_size
    Definition: transfer.h:61
    -
    transfers::l_size
    int * l_size
    Definition: transfer.h:120
    -
    transfers::has_nz_analytic
    short has_nz_analytic
    Definition: transfer.h:59
    -
    transfer_workspace::tau0_minus_tau
    double * tau0_minus_tau
    Definition: transfer.h:205
    -
    transfers::index_q_flat_approximation
    int index_q_flat_approximation
    Definition: transfer.h:142
    -
    transfers::index_tt_lcmb
    int index_tt_lcmb
    Definition: transfer.h:96
    -
    transfer_workspace::w_trapz
    double * w_trapz
    Definition: transfer.h:206
    -
    transfers::l
    int * l
    Definition: transfer.h:124
    -
    transfer_workspace::l_size
    int l_size
    Definition: transfer.h:186
    -
    transfer_dNdz_analytic
    int transfer_dNdz_analytic(struct transfers *ptr, double z, double *dNdz, double *dln_dNdz_dz)
    Definition: transfer.c:3020
    -
    transfer_workspace::tau0_minus_tau_cut
    double tau0_minus_tau_cut
    Definition: transfer.h:225
    -
    transfers::index_tt_nc_g1
    int index_tt_nc_g1
    Definition: transfer.h:104
    -
    transfers::nz_evo_dlog_nz
    double * nz_evo_dlog_nz
    Definition: transfer.h:72
    -
    transfer_workspace::pBIS
    HyperInterpStruct * pBIS
    Definition: transfer.h:184
    -
    transfers::has_nz_evo_analytic
    short has_nz_evo_analytic
    Definition: transfer.h:67
    -
    _SELECTION_NUM_MAX_
    #define _SELECTION_NUM_MAX_
    Definition: perturbations.h:68
    -
    transfers::error_message
    ErrorMsg error_message
    Definition: transfer.h:162
    -
    transfer_compute_for_each_q
    int transfer_compute_for_each_q(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int **tp_of_tt, int index_q, int tau_size_max, double tau_rec, double ***pert_sources, double ***pert_sources_spline, struct transfer_workspace *ptw)
    Definition: transfer.c:1679
    -
    transfer_workspace::cotKgen
    double * cotKgen
    Definition: transfer.h:212
    -
    transfers::initialise_HIS_cache
    short initialise_HIS_cache
    Definition: transfer.h:158
    -
    transfer_get_k_list
    int transfer_get_k_list(struct perturbs *ppt, struct transfers *ptr, double K)
    Definition: transfer.c:1234
    -
    transfers::index_tt_t2
    int index_tt_t2
    Definition: transfer.h:93
    -
    transfer_limber
    int transfer_limber(struct transfers *ptr, struct transfer_workspace *ptw, int index_md, int index_q, double l, double q, radial_function_type radial_type, double *trsf)
    Definition: transfer.c:3823
    -
    transfers::index_tt_t0
    int index_tt_t0
    Definition: transfer.h:91
    -
    transfer_limber_interpolate
    int transfer_limber_interpolate(struct transfers *ptr, double *tau0_minus_tau, double *sources, int tau_size, double tau0_minus_tau_limber, double *S)
    Definition: transfer.c:3980
    -
    transfers::lcmb_pivot
    double lcmb_pivot
    Definition: transfer.h:52
    -
    transfer_workspace::K
    double K
    Definition: transfer.h:220
    -
    transfers::lcmb_tilt
    double lcmb_tilt
    Definition: transfer.h:49
    -
    transfers::index_tt_rsd
    int index_tt_rsd
    Definition: transfer.h:100
    -
    transfer_selection_function
    int transfer_selection_function(struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, int bin, double z, double *selection)
    Definition: transfer.c:2875
    -
    transfer_indices_of_transfers
    int transfer_indices_of_transfers(struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, double q_period, double K, int sgnK)
    Definition: transfer.c:477
    -
    transfer_selection_sampling
    int transfer_selection_sampling(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau0_minus_tau, int tau_size)
    Definition: transfer.c:3064
    -
    radial_function_type
    radial_function_type
    Definition: transfer.h:236
    -
    transfers
    Definition: transfer.h:38
    -
    transfers::k
    double ** k
    Definition: transfer.h:140
    -
    transfers::has_nz_file
    short has_nz_file
    Definition: transfer.h:58
    -
    transfer_workspace::interpolated_sources
    double * interpolated_sources
    Definition: transfer.h:196
    -
    transfers::q_size
    size_t q_size
    Definition: transfer.h:136
    -
    transfer_selection_compute
    int transfer_selection_compute(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double *selection, double *tau0_minus_tau, double *w_trapz, int tau_size, double *pvecback, double tau0, int bin)
    Definition: transfer.c:3336
    -
    transfers::index_tt_lensing
    int index_tt_lensing
    Definition: transfer.h:98
    -
    transfer_workspace::HIS_allocated
    int HIS_allocated
    Definition: transfer.h:182
    -
    transfers::index_tt_d0
    int index_tt_d0
    Definition: transfer.h:101
    -
    transfers::nz_evo_size
    int nz_evo_size
    Definition: transfer.h:69
    -
    transfers::transfer_verbose
    short transfer_verbose
    Definition: transfer.h:160
    -
    transfer_workspace::cscKgen
    double * cscKgen
    Definition: transfer.h:211
    -
    transfers::angular_rescaling
    double angular_rescaling
    Definition: transfer.h:128
    -
    transfers::lcmb_rescale
    double lcmb_rescale
    Definition: transfer.h:46
    -
    transfers::l_size_tt
    int ** l_size_tt
    Definition: transfer.h:118
    -
    transfer_source_resample
    int transfer_source_resample(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, int bin, double *tau0_minus_tau, int tau_size, int index_md, double tau0, double *interpolated_sources, double *sources)
    Definition: transfer.c:3189
    -
    transfers::index_tt_d1
    int index_tt_d1
    Definition: transfer.h:102
    -
    transfers::index_tt_nc_g2
    int index_tt_nc_g2
    Definition: transfer.h:105
    -
    transfers::index_tt_nc_g4
    int index_tt_nc_g4
    Definition: transfer.h:107
    -
    transfers::has_nz_evo_file
    short has_nz_evo_file
    Definition: transfer.h:66
    -
    precision
    Definition: common.h:345
    -
    transfer_workspace::neglect_late_source
    short neglect_late_source
    Definition: transfer.h:226
    -
    transfers::md_size
    int md_size
    Definition: transfer.h:89
    -
    transfer_limber2
    int transfer_limber2(int tau_size, struct transfers *ptr, int index_md, int index_k, double l, double k, double *tau0_minus_tau, double *sources, radial_function_type radial_type, double *trsf)
    Definition: transfer.c:4067
    -
    transfer_workspace::sgnK
    int sgnK
    Definition: transfer.h:221
    -
    transfer_get_q_list
    int transfer_get_q_list(struct precision *ppr, struct perturbs *ppt, struct transfers *ptr, double q_period, double K, int sgnK)
    Definition: transfer.c:1003
    -
    transfers::l_size_max
    int l_size_max
    Definition: transfer.h:122
    -
    transfer_init
    int transfer_init(struct precision *ppr, struct background *pba, struct thermo *pth, struct perturbs *ppt, struct nonlinear *pnl, struct transfers *ptr)
    Definition: transfer.c:115
    -
    transfer_workspace::sources
    double * sources
    Definition: transfer.h:200
    -
    transfer_source_tau_size
    int transfer_source_tau_size(struct precision *ppr, struct background *pba, struct perturbs *ppt, struct transfers *ptr, double tau_rec, double tau0, int index_md, int index_tt, int *tau_size)
    Definition: transfer.c:1495
    -
    transfer_workspace
    Definition: transfer.h:174
    -
    transfers::nz_evo_dd_dlog_nz
    double * nz_evo_dd_dlog_nz
    Definition: transfer.h:73
    -
    transfers::tt_size
    int * tt_size
    Definition: transfer.h:110
    -
    transfers::nz_ddnz
    double * nz_ddnz
    Definition: transfer.h:64
    -
    transfers::nz_evo_nz
    double * nz_evo_nz
    Definition: transfer.h:71
    -
    transfers::nz_z
    double * nz_z
    Definition: transfer.h:62
    -
    transfers::index_tt_t1
    int index_tt_t1
    Definition: transfer.h:92
    -
    transfers::index_tt_b
    int index_tt_b
    Definition: transfer.h:95
    -
    nonlinear
    Definition: nonlinear.h:21
    -
    transfers::q
    double * q
    Definition: transfer.h:138
    -
    -
    - - - - diff --git a/doc/manual/html/transfer_8h_structtransfer__workspace.js b/doc/manual/html/transfer_8h_structtransfer__workspace.js deleted file mode 100644 index 7cfd3e80..00000000 --- a/doc/manual/html/transfer_8h_structtransfer__workspace.js +++ /dev/null @@ -1,20 +0,0 @@ -var transfer_8h_structtransfer__workspace = -[ - [ "HIS", "transfer_8h.html#aa81c012b8c0040001cedd2240dcf03be", null ], - [ "HIS_allocated", "transfer_8h.html#aa82073c726b255bc6d85aa2ed7e59b2f", null ], - [ "pBIS", "transfer_8h.html#ac0a4a7ac556b373d5afde27e75c1cba2", null ], - [ "l_size", "transfer_8h.html#a8b96d30c1ef94e11aa4200c13e865d41", null ], - [ "tau_size", "transfer_8h.html#a687f3dc5e1e24c16db6feb562de9477d", null ], - [ "tau_size_max", "transfer_8h.html#ae456d6ef31a91fe0adc33af4260fe547", null ], - [ "interpolated_sources", "transfer_8h.html#ad9de9e9288051713fff7e15845d379d8", null ], - [ "sources", "transfer_8h.html#a7e1b7745f896916e019150d8b9261755", null ], - [ "tau0_minus_tau", "transfer_8h.html#ac173b95d9119c27f08bb0eca6e0a585e", null ], - [ "w_trapz", "transfer_8h.html#a494d2fb2fd39b12fcf6f9628724e9d28", null ], - [ "chi", "transfer_8h.html#a48c29fdc48117dddcb0b4a872f1eea0a", null ], - [ "cscKgen", "transfer_8h.html#a17cecce242bacda64a431ca5f1532a30", null ], - [ "cotKgen", "transfer_8h.html#acd80ed43dfaa2eadf1695c8fd4f5b076", null ], - [ "K", "transfer_8h.html#a3dfb6eba621f9b11a4b3edf4be42d176", null ], - [ "sgnK", "transfer_8h.html#af43bd9bd9693d9dfda296b136adcfe80", null ], - [ "tau0_minus_tau_cut", "transfer_8h.html#a2850c0e6097bdd5e63fce840c199c248", null ], - [ "neglect_late_source", "transfer_8h.html#acc5b2260d1eb28b9fb12e7dd67b75e0f", null ] -]; \ No newline at end of file diff --git a/doc/manual/html/transfer_8h_structtransfers.js b/doc/manual/html/transfer_8h_structtransfers.js deleted file mode 100644 index 17621a90..00000000 --- a/doc/manual/html/transfer_8h_structtransfers.js +++ /dev/null @@ -1,56 +0,0 @@ -var transfer_8h_structtransfers = -[ - [ "lcmb_rescale", "transfer_8h.html#a8c2f7acb96ae31d0faf207ffce762ae4", null ], - [ "lcmb_tilt", "transfer_8h.html#a6db5c71e92b75d127a1ca1903d4142b9", null ], - [ "lcmb_pivot", "transfer_8h.html#a91095384810847be0636e449c0212e24", null ], - [ "selection_bias", "transfer_8h.html#a11fc80f50096e99f698479c1430076c7", null ], - [ "selection_magnification_bias", "transfer_8h.html#a0f38a4074b6dd8d95379b8e171e54533", null ], - [ "has_nz_file", "transfer_8h.html#a14e959fc0d7bda1024931143936ccc66", null ], - [ "has_nz_analytic", "transfer_8h.html#af262b11017ed9d84c33310b9c00abe4c", null ], - [ "nz_file_name", "transfer_8h.html#a35378a07a9177c5f0e9eee5be9f4637b", null ], - [ "nz_size", "transfer_8h.html#a0f728ad0ee27fe37d42caa1235a25481", null ], - [ "nz_z", "transfer_8h.html#a710ee27a2ec706be1e1b7ff1f9a1e00d", null ], - [ "nz_nz", "transfer_8h.html#a1b82292c5519d4f60b1f7265f64fcd2e", null ], - [ "nz_ddnz", "transfer_8h.html#a8a60fad65c936fd7c8efcd18e30a7dec", null ], - [ "has_nz_evo_file", "transfer_8h.html#a7ce510733fc12ca3c9d2ac98cf1d3b08", null ], - [ "has_nz_evo_analytic", "transfer_8h.html#a3416018376bd5fa824e70d0d6fe13895", null ], - [ "nz_evo_file_name", "transfer_8h.html#ade3591562b4b9f7fc163e7048fea7e3c", null ], - [ "nz_evo_size", "transfer_8h.html#ab1f9d920837a0d1e6f291392896e9856", null ], - [ "nz_evo_z", "transfer_8h.html#ac6807420f6f385c94a901a1bb9646ea0", null ], - [ "nz_evo_nz", "transfer_8h.html#a33850a8009e5e6f03a028f5121313081", null ], - [ "nz_evo_dlog_nz", "transfer_8h.html#a07477648687d9b344a838ac4545a39ce", null ], - [ "nz_evo_dd_dlog_nz", "transfer_8h.html#ae3d34e1bf2485dfc59d3885714fe23e9", null ], - [ "has_cls", "transfer_8h.html#a65e35e7d6e4c4dd0c96a9433c359151b", null ], - [ "md_size", "transfer_8h.html#acc9c66aebf8723431d019b397747a8cc", null ], - [ "index_tt_t0", "transfer_8h.html#ae76221d1ecb49a5301442a5f1e645fc8", null ], - [ "index_tt_t1", "transfer_8h.html#a38951c39518476293faac7ba5b8e9cbc", null ], - [ "index_tt_t2", "transfer_8h.html#aedff0d133dc3978314794d69b000334c", null ], - [ "index_tt_e", "transfer_8h.html#a94f7cbc04ea096cdb56a6133d11080be", null ], - [ "index_tt_b", "transfer_8h.html#a82a1d94ef6b6cbe00354cf304f2d1d32", null ], - [ "index_tt_lcmb", "transfer_8h.html#a0be3e4b5fcca0a20dcc34ed0203a883e", null ], - [ "index_tt_density", "transfer_8h.html#aa413c9cefbd2d69d011137e96f63856e", null ], - [ "index_tt_lensing", "transfer_8h.html#aa016c0480d791288cd3e2ff053611461", null ], - [ "index_tt_rsd", "transfer_8h.html#ac7d19621ec7f258ec02d18f6a9be04b0", null ], - [ "index_tt_d0", "transfer_8h.html#a8719ee8f1faf31461af8b576c61fce1b", null ], - [ "index_tt_d1", "transfer_8h.html#a1530d7a84b7d6084ed4ddcd43d78ac45", null ], - [ "index_tt_nc_lens", "transfer_8h.html#a5f982c59c781971c1d527c2bef3f338c", null ], - [ "index_tt_nc_g1", "transfer_8h.html#a5eab0bab2cc9f40c1a5a5c864412fd59", null ], - [ "index_tt_nc_g2", "transfer_8h.html#a14f418bd2a1c01cde6d7b32dab8b3902", null ], - [ "index_tt_nc_g3", "transfer_8h.html#aef72fdad8da8bc361c9e2bed5952745e", null ], - [ "index_tt_nc_g4", "transfer_8h.html#ae02d495059914dddb81954fa1fac1bf3", null ], - [ "index_tt_nc_g5", "transfer_8h.html#a39dc383033082ee7a2c34f34a56c011f", null ], - [ "tt_size", "transfer_8h.html#a06814905fb421cddb40e89f355e99be2", null ], - [ "l_size_tt", "transfer_8h.html#a0ae5457b1b8904a89150ff13d3eb0c6e", null ], - [ "l_size", "transfer_8h.html#ae917edcaaca1b905211ed1a41eda8c1c", null ], - [ "l_size_max", "transfer_8h.html#a103c59aede115134d0063b78081b3075", null ], - [ "l", "transfer_8h.html#a9c53323b5d6815b19ff3ba8367bf059e", null ], - [ "angular_rescaling", "transfer_8h.html#ae6b712f4da87f45c21db8f4a4c05d7fa", null ], - [ "q_size", "transfer_8h.html#aa36717abc1082ae0c8e6d1562ee067dd", null ], - [ "q", "transfer_8h.html#ae30e3941f8bfc39fb2cf57804c7703b1", null ], - [ "k", "transfer_8h.html#a952f100434c9914599e07976a0eb1b4f", null ], - [ "index_q_flat_approximation", "transfer_8h.html#abe42ba40eb07199c939aafb173cb0da3", null ], - [ "transfer", "transfer_8h.html#a163fba8d0845cca9746f62f670495bad", null ], - [ "initialise_HIS_cache", "transfer_8h.html#a376c57dad5375aa4b9fbb6d7455b886e", null ], - [ "transfer_verbose", "transfer_8h.html#afaa03b27d03939202850b360ad72b6bc", null ], - [ "error_message", "transfer_8h.html#acbb8a854ea85db2e34b18f18c4cca9ca", null ] -]; \ No newline at end of file diff --git a/explanatory.ini b/explanatory.ini old mode 100755 new mode 100644 index 0d9daa74..b483cd90 --- a/explanatory.ini +++ b/explanatory.ini @@ -1,686 +1,1026 @@ -*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* -* CLASS input parameter file * -*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* - -> This example of input file, intended for CLASS beginners, lists all -> possibilities with detailed comments. You can use a more concise version, in -> which only the arguments in which you are interested would appear. Only -> lines containing an equal sign not preceded by a sharp sign "#" are -> considered by the code. Hence, do not write an equal sign within a comment, -> the whole line would be interpreted as relevant input. Input files must have -> an extension ".ini". +# *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* +# * CLASS input parameter file * +# *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~* + +# This example of input file, intended for CLASS beginners, lists all +# possibilities with detailed comments. You can use a more concise version, in +# which only the arguments in which you are interested would appear. Only lines +# containing an equal sign not preceded by a sharp sign "#" are considered by +# the code, any other line is considered as a comment. +# +# The normal syntax is: parameter = value(s) +# where white spaces do not matter (they are removed automatically by the +# parser unless they are part of the parameter name). +# However, 'parameter' = value(s) +# and "parameter" = value(s) +# are also accepted by the parser since v2.8.0 +# +# Input files must have an extension ".ini". + + + +# ------------------------- +# ----> General parameters: +# ------------------------- + +# 1) List of output spectra requested: +# - 'tCl' for temperature Cls, +# - 'pCl' for polarization Cls, +# - 'lCl' for CMB lensing potential Cls, +# - 'nCl' (or 'dCl') for density number count Cls, +# - 'sCl' for galaxy lensing potential Cls, +# - 'mPk' for total matter power spectrum P(k) infered from gravitational +# potential, +# - 'dTk' (or 'mTk') for density transfer functions for each species, +# - 'vTk' for velocity transfer function for each species +# - 'sd' for spectral distortions +# Warning: both lCl and sCl compute the C_ls of the lensing potential, +# C_l^phi-phi. If you are used to other codes, you may want to deal instead +# with the deflection Cls or the shear/convergence Cls. The relations +# between them are trivial: +# --> deflection d: Cl^dd = l(l+1) C_l^phiphi +# --> convergence kappa and shear gamma: the share the same harmonic +# power spectrum: Cl^gamma-gamma = 1/4 * [(l+2)!/(l-2)!] C_l^phi-phi +# By defaut, the code will try to compute the following cross-correlation +# Cls (if available): temperature-polarisation, temperature-CMB lensing, +# polarization-CMB lensing, CMB lensing-density, and density-lensing. Other +# cross-correlations are not computed because they would slow down the +# code considerably. +# +# Can be left blank if you do not want to evolve cosmological perturbations +# at all. (default: set to blank, no perturbation calculation) +output = tCl,pCl,lCl,mPk +#output = tCl,pCl,lCl +#output = mPk,mTk +#output = Sd + +# 1.a) If you included 'tCl' in the list, you can take into account only some +# of the terms contributing to the temperature spectrum: +# - intrinsic temperature corrected by Sachs-Wolfe ('tsw' or 'TSW'), +# - early integrated Sachs-Wolfe ('eisw' or 'EISW'), +# - late integrated Sachs-Wolfe ('lisw' or 'LISW'), +# - Doppler ('dop' or 'Dop'), +# - polarisation contribution ('pol' or 'Pol'). +# Put below the list of terms to be included (defaut: if this field is not +# passed, all terms will be included) +#temperature_contributions = tsw, eisw, lisw, dop, pol + +# 1.a.1) If one of 'eisw' or 'lisw' is turned off, the code will read +# 'early/late isw redshift', the split value of redshift z at which the +# isw is considered as late or early (if this field is absent or left +# blank, by default, 'early/late isw redshift' is set to 50) +#early_late_isw_redshift = + +# 1.b) If you included 'nCl' (or 'dCl') in the list, you can take into account +# only some of the terms contributing to the obsevable number count +# fluctuation spectrum: +# - matter density ('density'), +# - redshift-space and Doppler distortions ('rsd'), +# - lensing ('lensing'), +# - or gravitational potential terms ('gr'). +# Put below the list of terms to be included (defaut: if this field is not +# passed, only 'dens' will be included) +#number_count_contributions = density, rsd, lensing, gr + +# 1.c) If you included 'dTk' (or 'mTk') in the list, the code will give you by +# default the transfer function of the scale-invariant Bardeen potentials +# (for whatever gauge you are using). If you need the transfer function of +# additional metric fluctuations, specific to the gauge you are using, set +# the following flag to 'yes' (default: set to 'no') +#extra_metric_transfer_functions = yes + + +# 2) If you want to consider perturbed recombination, enter a word +# containing the letter 'y' or 'Y'. CLASS will then compute the +# perturbation in the ionization fraction x_e and the baryon +# temperature, as in 0707.2727. The initial conformal time will be +# small, therefore you should use the default integrator ndf15 +# (i.e. do not set 'evolver' to 0, otherwise the code will be +# slower). (default: no, neglect perturbed recombination) +#perturbed_recombination = yes + +# 3) List of modes: +# - 's' for scalars, +# - 'v' for vectors, +# - 't' for tensors). +# More than one letter allowed, can be attached or separated by arbitrary +# characters; letters can be small or capital. (default: set to 's') +modes = s +#modes = s,t ----------------------------- -----> background parameters: ----------------------------- +# 3.a) List of initial conditions for scalars: +# - 'ad' for adiabatic, +# - 'bi' for baryon isocurvature, +# - 'cdi' for CDM isocurvature, +# - 'nid' for neutrino density isocurvature, +# - 'niv' for neutrino velocity isocurvature. +# More than one of these allowed, can be attached or separated by arbitrary +# characters; letters can be small or capital. (default: set to 'ad') +ic = ad +#ic = ad&bi&nid -1) Hubble parameter : either 'H0' in km/s/Mpc or 'h' or '100*theta_s' where the - latter is the peak scale parameter 100(ds_dec/da_dec) close to 1.042143 - (default: 'h' set to 0.67556) +# 3.b) Which perturbations should be included in tensor calculations? +# - write 'exact' to include photons, ultra-relativistic species 'ur' +# and all non-cold dark matter species 'ncdm'; +# - write 'massless' to approximate 'ncdm' as extra relativistic species +# (good approximation if ncdm is still relativistic at the time of +# recombination); +# - write 'photons' to include only photons +# (default: set to 'massless') +tensor_method = + + +# 4) Gauge +# 4.a) Gauge in which calculations are performed: +# - 'sync' or 'synchronous' or 'Synchronous' for synchronous, +# - 'new' or 'newtonian' or 'Newtonian' for Newtonian/longitudinal gauge +# (default: set to synchronous) +gauge = synchronous -#H0 = 67.556 -h =0.67556 -#100*theta_s = 1.042143 +# 4.b) Do you want to output the N-body gauge quantities as well? +# If you included 'dTk' or 'vTk' in the list of outputs, you may transform +# your transfer functions into the Nbody gauge by setting the following +# flag to 'yes'. This will also include the transfer function for the +# metric perturbations H_T' (exact) and gamma (approximate) in the Nbody gauge. +# See e.g. 1505.04756, and equations (A.2) and (A.5) in 1811.00904 +# for more precise definitions. These calculations are more stable with +# 'gauge=synchronous' (default). To compute H_T' and gamma +# without converting the output to the Nbody gauge, +# please use the flag 'extra metric transfer functions' instead. +# Can be set to anything starting with 'y' or 'n'. +# (default: set to 'no') +#nbody_gauge_transfer_functions = yes + +# 5) Hubble parameter : either 'H0' in km/s/Mpc or 'h' (or 'theta_s_100'), where +# the latter is the peak scale parameter defined exactly as 100(ds_dec/da_dec) +# with a decoupling time given by maximum of visibility function (quite different +# from theta_MC of CosmoMC and slightly different from theta_* of CAMB) +# (default: 'h' set to 0.67810 such that 100*theta_s = 1.041783 like in Planck 2018) +h = 0.67810 +#H0 = 67.810 +#theta_s_100 = 1.041783 + + +# 6) Primordial Helium fraction 'YHe', e.g. 0.25; if set to 'BBN' or 'bbn', +# will be inferred from Big Bang Nucleosynthesis (default: set to 'BBN') +YHe = BBN -2) photon density: either 'T_cmb' in K or 'Omega_g' or 'omega_g' (default: - 'T_cmb' set to 2.7255) -T_cmb = 2.7255 -#Omega_g = -#omega_g = +# 7) 'recombination' algorithm set to 'RECFAST' or 'HyRec'. 'HyRec' points at HyRec 2020. Its compute time is negligible compared to other CLASS modules. 'RECFAST' points at RecFastCLASS, an enhanced version of RecFast 1.5 with better integration shceme and less discontinuities. Recfast is still slightly faster than HyRec but less accurate. HyRec is better for most purposes. RecFast can still be useful for studying some particular modifications of standard recombination. Both schemes use the CLASS ODE integrators. (Default: HyRec') +recombination = HyRec + +# 7.a) If recombination algorithm is set to 'RECFAST' +# the photo-ionization coefficients beta(T) for normal Recfast depend on Tmat +# This is an approximation (see e.g. arxiv:1605.03928 page 10, arxiv:1503.04827 page 2, right column) +# With 'recfast_photoion_dependence' the photo-ionization coefficient beta(T) is set to depend on +# - 'Tmat' uses beta(Tmat) depending on matter temperature +# (like in original RECFAST and in CLASS v2.x) +# - 'Trad' uses beta(Trad) depending on radiation temperature +# (while this option is theoretically more motivated, the option 'Tmat' leads to +# results which agree better with HyRec and CosmoRec. This is probably due to the +# fudge factor for the Peebles coefficient being optimized for a Tmat dependence) +# (default: set to 'Tmat') +recfast_photoion_dependence = + + +# 8) Parametrization of reionization: 'reio_parametrization' must be one of +# - 'reio_none' (no reionization), +# - 'reio_camb' (like CAMB: one tanh() step for hydrogen reionization one +# for second helium reionization), +# - 'reio_bins_tanh' (binned history x_e(z) with tanh() interpolation +# between input values), +# - 'reio_half_tanh' (like 'reio_camb' excepted that we match the +# function xe(z) from recombination with only half a tanh(z-z_reio)), +# - 'reio_many_tanh' (arbitrary number of tanh-like steps with specified +# ending values, a scheme usually more useful than 'reio_bins_tanh'), +# - 'reio_inter' (linear interpolation between discrete values of xe(z)). +# (default: set to 'reio_camb') +reio_parametrization = reio_camb -3) baryon density: either 'Omega_b' or 'omega_b' (default: 'omega_b' set to - 0.022032) +# 8.a) If 'reio_parametrization' set to 'reio_camb' or 'reio_half_tanh': +# enter one of 'z_reio' or 'tau_reio' (default: 'z_reio' set to 7.6711 to +# get tau_reio of 0.054308), plus 'reionization_exponent', +# 'reionization_width', 'helium_fullreio_redshift', +# 'helium_fullreio_width'. (default: set to 1.5, 0.5, 3.5, 0.5) +z_reio = 7.6711 +#tau_reio = 0.05430842 +reionization_exponent = 1.5 +reionization_width = 0.5 +helium_fullreio_redshift = 3.5 +helium_fullreio_width = 0.5 -#Omega_b = -omega_b = 0.022032 +# 8.b) If 'reio_parametrization' set to 'reio_bins_tanh': +# enter number of bins and list of z_i and xe_i defining the free electron +# density at the center of each bin. Also enter a dimensionless paramater +# regulating the sharpness of the tanh() steps, independently of the bin +# width; recommended sharpness is 0.3, smaller values will make steps too +# sharp, larger values will make the step very progressive but with +# discontinuity of x_e(z) derivative around z_i values. (default: set to +# 0, blank, blank, 0.3) +binned_reio_num = 3 +binned_reio_z = 8,12,16 +binned_reio_xe = 0.8,0.2,0.1 +binned_reio_step_sharpness = 0.3 -4a) ultra-relativistic species / massless neutrino density: either 'N_ur' or - 'Omega_ur' or 'omega_ur' (default: 'N_ur' set to 3.046) (note: instead of - 'N_ur' you can pass equivalently 'N_eff', although this syntax is - deprecated) (one more remark: if you have respectively 1,2,3 massive neutrinos, if you stick to the default value T_ncdm equal to 0.71611, designed to give m/omega of 93.14 eV, and if you want to use N_ur to get N_eff equal to 3.046 in the early universe, then you should pass here respectively 2.0328,1.0196,0.00641) +# 8.c) If 'reio_parametrization' set to 'reio_many_tanh': +# enter number of jumps, list of jump redhsifts z_i (central value of each +# tanh()), list of free electron density x_i after each jump, and common +# width of all jumps. If you want to end up with all hydrogen reionized +# but neglecting helium reionization, the first value of x_i in the list +# should be 1. For each x_i you can also pass the flags -1 or -2. They +# mean: +# - -1: after hydrogen + first helium recombination (so the code will +# substitute a value bigger than one based on Y_He); +# - -2: after hydrogen + second helium recombination (the code will +# substitute an even bigger value based on Y_He). +# You can get results close to reio_camb by setting these parameters to +# the value showed below (and adapting the second many_tanh_z to the usual +# z_reio). (default: not set) +many_tanh_num = 2 +many_tanh_z = 3.5,11.3 +many_tanh_xe = -2,-1 +many_tanh_width = 0.5 -N_ur = 3.046 -#Omega_ur = -#omega_ur = +# 8.d) If 'reio_parametrization' set to 'reio_inter': enter the number of +# points, the list of redshifts z_i, and the list of free electron +# fraction values x_i. The code will do linear interpolation between them. +# The first z_i should always be 0. Like above, for each x_i, you can also +# pass the flags -1 or -2. They mean: for -1, after the hydrogen and the +# first helium recombination (so the code will substitute a value bigger +# than one based on Y_He); for -2, after the hydrogen and the second +# helium recombination (the code will substitute an even bigger value +# based on Y_He). The last value of x_i should always be zero, the code +# will substitute it with the value that one would get in absence of +# reionization, as computed by the recombination code. (default: not set) +reio_inter_num = 8 +reio_inter_z = 0, 3, 4, 8, 9, 10, 11, 12 +reio_inter_xe = -2, -2, -1, -1, 0.9, 0.5, 0.1, 0 -4b) to simulate ultra-relativistic species with non-standard - properties, you can pass 'ceff2_ur' and 'cvis2_ur' (effective squared - sound speed and viscosity parameter, like in the Generalised Dark - Matter formalism of W. Hu) (default: both set to 1/3) -#ceff2_ur = -#cvis2_ur = +# 9) State whether you want the code to compute the simplest analytic +# approximation to the photon damping scale (it will be added to the +# thermodynamics output, and its value at recombination will be stored and +# displayed in the standard output) (default: 'compute damping scale' set to +# 'no') +compute_damping_scale = -5) density of cdm (cold dark matter): 'Omega_cdm' or 'omega_cdm' (default: - 'omega_cdm' set to 0.12038) -#Omega_cdm = -omega_cdm = 0.12038 +# 10) State whether you want to include a variation of fudamental constants. Can be set to 'none' or to 'instantaneous'. Smoother evolutions could be included by modifying the function "background_varconst_of_z" in source/background.c. +varying_fundamental_constants = none -5b) For models with decaying cold dark matter (dcdm) you can choose to pass either: +# 10.a) If 'varying_fundamental_constants' is set to 'instantaneous', select the redshift of the transition 'varying_transition_redshift' (default: 50). At lower redshift, the value will be the currently observed value, while at higher redshift you can specify how large the value should be by giving the ratio of the value at high redshift with respect to the currently observed one. Provide the relative value of the fine structure constant 'varying_alpha' (default: 1), and the relative value of the effective electron mass 'varying_me' (default: 1). The treatment corresponds to that of 1705.03925. +varying_transition_redshift = +varying_alpha = 1. +varying_me = 1. -5b1) the current fractional density of dcdm+dr (decaying cold dark - matter and its relativistic decay radiation): 'Omega_dcdmdr' or - 'omega_dcdmdr' (default: 'Omega_dcdmdr' set to 0) +# 10.b) If 'varying_fundamental_constants' is not set to 'none' and 'YHe' is set to 'BBN', specify by how much the 'YHe' prediction from 'BBN' should be affected by the different value of the fine structure constant. The default value is motivated by 2001.01787. (default: 1) +bbn_alpha_sensitivity = 1. -Omega_dcdmdr = 0.0 -#omega_dcdmdr = 0.0 -5b2) the rescaled initial value for dcdm density (see 1407.2418 for definitions). If you specify 5b1, 5b2 will be found autamtically by a shooting method, and vice versa. (default: 'Omega_dcdmdr' set to 0, hence so is 'Omega_ini_dcdm') +# ------------------------- +# ----> Species parameters: +# ------------------------- -#Omega_ini_dcdm = -#omega_ini_dcdm = +# 1) Photon density: either 'T_cmb' in K or 'Omega_g' or 'omega_g' (default: +# 'T_cmb' set to 2.7255) +T_cmb = 2.7255 +#Omega_g = +#omega_g = -5c) decay constant of dcdm in km/s/Mpc, same unit as H0 above. -Gamma_dcdm = 0.0 +# 2) Baryon density: either 'Omega_b' or 'omega_b' (default: 'omega_b' set to +# 0.02238280) +omega_b = 0.02238280 +#Omega_b = -6) all parameters describing the ncdm sector (i.e. any non-cold dark matter - relics, including massive neutrinos, warm dark matter, etc.): - -> 'N_ncdm' is the number of distinct species (default: set to 0) +# 3) Ultra-relativistic species / massless neutrino density: either +# 'N_ur' or 'Omega_ur' or 'omega_ur' (default: 'N_ur' set to 3.044; +# see 2008.01074 and 2012.02726. This value is more accurate than the +# previous default value of 3.046) (note: instead of 'N_ur' you can +# pass equivalently 'N_eff', although this syntax is deprecated) (one +# more remark: if you have respectively 1,2,3 massive neutrinos, if +# you stick to the default value T_ncdm equal to 0.71611, designed to +# give m/omega of 93.14 eV, and if you want to use N_ur to get N_eff +# equal to 3.044 in the early universe, then you should pass here +# respectively 2.0308,1.0176,0.00441) +N_ur = 3.044 +#Omega_ur = +#omega_ur = -N_ncdm = 0 +# 3.a) To simulate ultra-relativistic species with non-standard properties, you +# can pass 'ceff2_ur' and 'cvis2_ur' (effective squared +# sound speed and viscosity parameter, like in the Generalised Dark Matter +# formalism of W. Hu) (default: both set to 1/3) +#ceff2_ur = +#cvis2_ur = - -> 'use_ncdm_psd_files' is the list of N_ncdm numbers: 0 means 'phase-space - distribution (psd) passed analytically inside the code, in the mnodule - background.c, inside the function background_ncdm_distribution()'; 1 means - 'psd passed as a file with at list two columns: first for q, second for - f_0(q)', where q is p/T_ncdm (default: only zeros) +# 4) Density of cdm (cold dark matter): 'Omega_cdm' or 'omega_cdm', or, +# density of total non-relativistic matter: 'Omega_m' or 'omega_m'. +# If you pass 'Omega_m' or 'omega_m', the code will automatically fill +# up the density of Cold Dark Matter such that all non-relativistic species +# (including non-cold DM) sum up to your input value of Omega_m +# (default: 'omega_cdm' set to 0.1201075) +omega_cdm = 0.1201075 +#Omega_cdm = +#Omega_m = +#omega_m = + + +# 5) ncdm sector (i.e. any non-cold dark matter relics, including massive +# neutrinos, warm dark matter, etc.): +# 5.a) 'N_ncdm' is the number of distinct species (default: set to 0) +N_ncdm = + +# 5.b) 'use_ncdm_psd_files' is the list of N_ncdm numbers: +# - 0 means 'phase-space distribution (psd) passed analytically +# inside the code, in the mnodule background.c, inside the function +# background_ncdm_distribution()', +# - 1 means 'psd passed as a file with at list two columns: first for +# q, second for f_0(q)', where q is p/T_ncdm +# (default: only zeros) #use_ncdm_psd_files = 0 - -> if some of the previous values are equal to one, 'ncdm_psd_filenames' is - the list of names of psd files (as many as number of ones in previous entry) - +# 5.b.1) If some of the previous values are equal to one, 'ncdm_psd_filenames' is +# the list of names of psd files (as many as number of ones in previous +# entry) ncdm_psd_filenames = psd_FD_single.dat - -> 'ncdm_psd_parameters' is an optional list of double parameters to describe - the analytic distribution function or to modify a p.s.d. passed as a file. - It is made available in the routine background_ncdm_distribution. - +# 5.c) 'ncdm_psd_parameters' is an optional list of double parameters to +# describe the analytic distribution function or to modify a p.s.d. passed +# as a file. It is made available in the routine +# background_ncdm_distribution. +#ncdm_psd_parameters = 0.3 ,0.5, 0.05 #ncdm_psd_parameters = Nactive, sin^2_12 ,s23 ,s13 -ncdm_psd_parameters = 0.3 ,0.5, 0.05 - - -The remaining parameters should be entered as a list of N_ncdm numbers -separated by commas: - - -> 'Omega_ncdm' or 'omega_ncdm' or 'm_ncdm' in eV (default: all set to zero); - with only one of these inputs, CLASS computes the correct value of - the mass; if both (Omega_ncdm, m_ncdm) or (omega_ncdm, m_ncdm) are - passed, CLASS will renormalise the psd in order to fulfill both - conditions. - Passing zero in the list of m_ncdm's or Omeg_ncdm's means that for - this component, this coefficient is not imposed, and its value is - inferred from the other one. - -m_ncdm = 0.04, 0.04, 0.04 -Omega_ncdm = - - -> 'T_ncdm' is the ncdm temperature in units of photon temperature - (default: set to 0.71611, which is slightly larger than the - instantaneous decoupling value (4/11)^(1/3); indeed, this default - value is fudged to give a ratio m/omega equal to 93.14 eV for - active neutrinos, as predicted by precise studies of active - neutrino decoupling, see hep-ph/0506164) +# 5.d) 'Omega_ncdm' or 'omega_ncdm' or 'm_ncdm' in eV (default: all set to +# zero); with only one of these inputs, CLASS computes the correct value +# of the mass; if both (Omega_ncdm, m_ncdm) or (omega_ncdm, m_ncdm) are +# passed, CLASS will renormalise the psd in order to fulfill both +# conditions. Passing zero in the list of m_ncdm's or Omeg_ncdm's means +# that for this component, this coefficient is not imposed, and its value +# is inferred from the other one. +m_ncdm = 0.06 +#m_ncdm = 0.04, 0.04, 0.04 +#Omega_ncdm = +#omega_ncdm = + +# 5.e) 'T_ncdm' is the ncdm temperature in units of photon temperature +# (default: set to 0.71611, which is slightly larger than the +# instantaneous decoupling value (4/11)^(1/3); indeed, this default value +# is fudged to give a ratio m/omega equal to 93.14 eV for active +# neutrinos, as predicted by precise studies of active neutrino +# decoupling, see hep-ph/0506164) T_ncdm = - -> 'ksi_ncdm' is the ncdm chemical potential in units of its own temperature - (default: set to 0) - +# 5.f) 'ksi_ncdm' is the ncdm chemical potential in units of its own +# temperature (default: set to 0) ksi_ncdm = - -> 'deg_ncdm' is the degeneracy parameter multiplying the psd: 1 stands for - 'one family', i.e. one particle + anti-particle (default: set to 1.0) - +# 5.g) 'deg_ncdm' is the degeneracy parameter multiplying the psd: 1 stands for +# 'one family', i.e. one particle + anti-particle (default: set to 1.0) deg_ncdm = - -> 'Quadrature strategy' is the method used for the momentum sampling of the - ncdm distribution function. 0 is the automatic method, 1 is Gauss-Laguerre - quadrature, 2 is the trapezoidal rule on [0,Infinity] using the transformation - q->1/t-1. 3 is the trapezoidal rule on [0,q_max] where q_max is the next input. - (default: set to 0) +# 5.h) 'ncdm_quadrature_strategy' is the method used for the momentum sampling of +# the ncdm distribution function. +# - 0 is the automatic method, +# - 1 is Gauss-Laguerre quadrature, +# - 2 is the trapezoidal rule on [0,Infinity] using the transformation q->1/t-1. +# - 3 is the trapezoidal rule on [0,q_max] where q_max is the next input. +# (default: set to 0) +ncdm_quadrature_strategy = -Quadrature strategy = +# 5.h.1) 'ncdm_maximum_q' is the maximum q relevant only for Quadrature strategy 3. +# (default: set to 15) +ncdm_maximum_q = - -> 'Maximum q' is the maximum q relevant only for Quadrature strategy 3. - (default: set to 15) +# 5.h.2) Number of momentum bins. (default: 150) +ncdm_N_momentum_bins = -Maximum q = - -7) curvature: 'Omega_k' (default: 'Omega_k' set to 0) +# 6) Curvature: 'Omega_k' (default: 'Omega_k' set to 0) Omega_k = 0. -8a) Dark energy contributions. At least one out of three conditions must be satisfied: - i) 'Omega_Lambda' unspecified. - ii) 'Omega_fld' unspecified. - iii) 'Omega_scf' set to a negative value. [Will be refered to as - unspecified in the following text.] - The code will then use the first unspecified component to satisfy the - closure equation (sum_i Omega_i) equals (1 + Omega_k) - (default: 'Omega_fld' and 'Omega_scf' set to 0 and 'Omega_Lambda' inferred - by code) -# Omega_Lambda = 0.7 +# Begin of ADDITIONAL SPECIES --> Add your species here + +# 7.1) Decaying CDM into Dark Radiation +# 7.1.a) The current fractional density of dcdm+dr (decaying cold dark matter +# and its relativistic decay radiation): 'Omega_dcdmdr' or 'omega_dcdmdr' +# (default: 'Omega_dcdmdr' set to 0) +Omega_dcdmdr = 0.0 +#omega_dcdmdr = 0.0 + +# 7.1.b) The rescaled initial value for dcdm density (see 1407.2418 for +# definitions). If you specify 7.a.1, 7.a.2 will be found automtically by a +# shooting method, and vice versa. (default: 'Omega_dcdmdr' set to 0, +# hence so is 'Omega_ini_dcdm') +#Omega_ini_dcdm = +#omega_ini_dcdm = + +# 7.1.c) Decay constant of dcdm in km/s/Mpc, same unit as H0 above. +Gamma_dcdm = 0.0 +tau_dcdm = 0.0 + + +# 7.2) Multi-interacting Dark Matter (idm), implemented by N. Becker, +# D.C. Hooper, and N. Schoeneberg. Described in (2010.04074) + +# 7.2.1) Global parameters for the (multi-)interacting Dark Matter component + +# 7.2.1.a) Amount of interacting Dark Matter +# Can be passed as either f_idm (fraction) or Omega_idm (relative abundance) (default : 0) +#Omega_idm = 0. +f_idm = 0. + +# 7.2.1.b) Mass of interacting Dark Matter particle in eV (default : 1e9) +m_idm = 1e9 + +# 7.2.2) Dark Matter interacting with Dark Radiation (idm_dr) and +# interacting Dark Radiation (idr), implemented by +# M. Archidiacono, S. Bohr, and D.C. Hooper, following the ETHOS +# framework (1512.05344). Can also take as input the parameters +# of the models of 1507.04351 (with non-abelian dark matter, dark +# gluons...) which can be seen as a sub-class of ETHOS. See +# 1907.01496 for more details on both cases. + +# 7.2.2.a) Amount of interacting dark radiation (idr) +# - Can be parameterised through the temperature ratio 'xi_idr' (= T_idr/T_cmb) +# - Can be parameterised through the number of extra relativistic relics 'N_idr' (or indifferently 'N_dg') +# In all cases the parameter is dimensionless. +# (default : 0) +xi_idr = +#N_idr = + +# 7.2.2.b) Statistical factor to differentiate between fermionic (= 7/8) and bosonic (= 1) dark radiation (default 7/8) +stat_f_idr = 0.875 + +# 7.2.2.c) Strength of the coupling between DM and DR: +# +# Can be passed as 'a_idm_dr' or 'a_dark' in ETHOS parameterisation, in units of 1/Mpc. +# Then in ETHOS notations: Gamma_DR-DM = - omega_DM a_dark ((1+z)/10^7)^nindex_dark +# while: Gamma_DM-DR = - 4/3 (rho_DR/rho_DM) omega_DM a_dark ((1+z)/10^7)^nindex_dark +# = - 4/3 omega_DR a_dark (1+z) ((1+z)/10^7)^nindex_dark +# or in CLASS notations: dmu_idm_dr = - Gamma_DR-DM = omega_idm_dr a_idm_dr ((1+z)/10^7)^nindex_idm_dr +# +# Can be passed as 'Gamma_0_nadm' in NADM parameterisation, in units of 1/Mpc. +# Then in ETHOS notations: Gamma_DR-DM = - 3/4 Omega_DM/Omega_DR Gamma_0_nadm +# while: Gamma_DM-DR = - (1+z) Gamma_0_nadm +# or in CLASS notations: dmu_idm_dr = - Gamma_DR-DM = 3/4 Omega_idm_dr/Omega_idr Gamma_0_nadm +# +# (default : 0) +a_idm_dr = 0. +#Gamma_0_nadm = + +# 7.2.2.d) Only if ETHOS parametrization : Power of the temperature dependence of the co-moving idr - idm_dr interaction rate +# Can be passed indifferently as 'nindex_idm_dr' (or 'nindex_dark'), in units of 1/Mpc. +# (default : 4, unless Gamma_0_nadm has been passed, then default changes to 0) +nindex_idm_dr = + +# 7.2.2.e) Only if ETHOS parametrization : Nature of the interacting dark radiation: 'free_streaming' or 'fluid' +# (default = 'free_streaming', unless Gamma_0_nadm has been passed, then default changes to 'fluid') +idr_nature = + +# 7.2.2.f) Strength of the dark radiation self interactions coupling, +# can be passed as 'b_idr' or 'b_dark', in units of 1/Mpc. +# In ETHOS notations: Gamma_DR-DR = (b_dark/a_dark) (Omega_DR/Omega_DM) Gamma_DR-DM +# In CLASS notations: dmu_idr = - Gamma_DR-DR = (b_idr/a_idm_dr) (Omega_idr/Omega_idm_dr) dmu_idm_dr +# (default : 0) +b_idr = + +# 7.2.2.g) idr - idm_dr interaction angular coefficient: 'alpha_idm_dr' (or indifferently 'alpha_dark') +# Should be 3/4 if vector boson mediator; 3/2 if scalar boson mediator. +# In full generality this coefficient may depend on l = 2, 3, 4... +# The user can pass here a list of values with an arbitrary size. The first coefficients will be adjusted +# accordingly. After that, the last value will be repeated. +# For instance, if users passes 3, 2, 1, the code will take alpha_2=3, alpha_3=2, and all others equal to 1. +# (default = all set to 1.5) +alpha_idm_dr = 1.5 + +# 7.2.2.h) idr self-interaction angular coefficient: 'beta_idr' (or indifferently 'beta_dark') +# In full generality this coefficient may depend on l = 2, 3, 4... +# The user can pass here a list of values with an arbitrary size. The first coefficients will be adjusted +# accordingly. After that, the last value will be repeated. +# For instance, if users passes 3, 2, 1, the code will take beta_2=3, beta_3=2, and all others equal to 1. +# (default = all set to 1.5) +beta_idr = 1.5 + +# -> Precision parameters for idm_dr and idr can be found in precisions.h, with the tag idm_dr + +# 7.2.3) Interacting Dark Matter with Baryons +# Implemented by D.C. Hooper, N. Schoeneberg, and N. Becker +# following 1311.2937, 1509.00029, 1803.09734, 1802.06788 + +# 7.2.3.a) Coupling strength of Dark Matter and baryons (in cm^2) (default : 0) +cross_idm_b = 0. +# 7.2.3.b) Temperature dependence of the DM - baryon interactions (between -4 and 4) (default : 0) +n_index_idm_b = 0 + +# 7.2.4) Dark Matter interactions with photons +# Implementd by N. Becker following the formalism of Stadler&Boehm (1802.06589) + +# 7.2.4.a) Interaction coefficient or coupling strength between DM and photons +# Can be passed as either u_idm_g (dimensionless interaction strength) or cross_idm_g (cross section in cm^2) (default : 0) +u_idm_g = 0 +#cross_idm_g = 0 + +# 7.2.4.b) Temperature dependence of the DM - photon interactions (default : 0) +n_index_idm_g = 0 + +# End of ADDITIONAL SPECIES + + +# 8) Dark energy contributions. +# At least one out of three conditions must be satisfied: +# - 'Omega_Lambda' unspecified. +# - 'Omega_fld' unspecified. +# - 'Omega_scf' set to a negative value. [Will be refered to as +# unspecified in the following text.] +# The code will then use the first unspecified component to satisfy the +# closure equation (sum_i Omega_i) equals (1 + Omega_k) +# (default: 'Omega_fld' and 'Omega_scf' set to 0 and 'Omega_Lambda' +# inferred by code) Omega_fld = 0 Omega_scf = 0 +# Omega_Lambda = 0.7 -8b) The flag 'use_ppf' is 'yes' by default, to use the PPF approximation - (see 0808.3125 [astro-ph]) allowing perturbations to cross the - phantom divide. Set to 'no' to enforce true fluid equations for - perturbations. When the PPF approximation is used, you can choose - the ratio 'c_gamma_over_c_fld' (eq. (16) in 0808.3125). The - default is 0.4 as recommended by that reference, and implicitely - assumed in other codes. (default: 'use_ppf' to yes, 'c_gamma_over_c_fld' to 0.4) +# 8.a) If Omega fluid is different from 0 +# 8.a.1) The flag 'use_ppf' is 'yes' by default, to use the PPF approximation +# (see 0808.3125 [astro-ph]) allowing perturbations to cross the +# phantom divide. Set to 'no' to enforce true fluid equations for +# perturbations. When the PPF approximation is used, you can choose the +# ratio 'c_gamma_over_c_fld' (eq. (16) in 0808.3125). The default is 0.4 +# as recommended by that reference, and implicitely assumed in other +# codes. (default: 'use_ppf' to yes, 'c_gamma_over_c_fld' to 0.4) use_ppf = yes c_gamma_over_c_fld = 0.4 -8c) Choose your equation of state between different models, 'CLP' for - p/rho = w0_fld + wa_fld (1-a/a0) (Chevalier-Linder-Polarski), - 'EDE' for early Dark Energy (default:'fluid_equation_of_state' set to 'CLP') - +# 8.a.2) Choose your equation of state between different models, +# - 'CLP' for p/rho = w0_fld + wa_fld (1-a/a0) +# (Chevalier-Linder-Polarski), +# - 'EDE' for early Dark Energy +# (default:'fluid_equation_of_state' set to 'CLP') fluid_equation_of_state = CLP -8c1) equation of state of the fluid in 'CLP' case (p/rho = w0_fld + - wa_fld (1-a/a0)) and squared sound speed 'cs2_fld' of the fluid - (this is the sound speed defined in the frame comoving with the - fluid, i.e. obeying to the most sensible physical - definition). Generalizing w(a) to a more complicated expressions - would be easy, for that, have a look into source/background.c at - the function background_w_fld(). (default: 'w0_fld' set to -1, - 'wa_fld' to 0, 'cs2_fls' to 1) - -w0_fld = -0.9 -wa_fld = 0. -cs2_fld = 1 - -8c2) equation of state of the fluid in 'EDE' case and squared sound speed 'cs2_fld' of the fluid - (this is the sound speed defined in the frame comoving with the - fluid, i.e. obeying to the most sensible physical - definition). Generalizing w(a) to a more complicated expressions - would be easy, for that, have a look into source/background.c at - the function background_w_fld(). (default: 'w0_fld' set to -1, - 'Omega_EDE' to 0, 'cs2_fls' to 1) - -w0_fld = -0.9 -Omega_EDE = 0. -cs2_fld = 1 - -8d) Scalar field (scf) initial conditions from attractor solution (assuming - pure exponential potential). (default: yes) - -attractor_ic_scf = yes - -8e) Scalar field (scf) potential parameters and initial conditions. V equals - ((\phi-B)^\alpha + A)exp(-lambda*phi), see - http://arxiv.org/abs/astro-ph/9908085. - -#scf_parameters = [scf_lambda, scf_alpha, scf_A, scf_B, phi, phi_prime] +# 8.a.2.1) Equation of state of the fluid in 'CLP' case and squared sound speed +# 'cs2_fld' of the fluid (this is the sound speed defined in the frame +# comoving with the fluid, i.e. obeying to the most sensible physical +# definition). Generalizing w(a) to a more complicated expressions would +# be easy, for that, have a look into source/background.c at the +# function background_w_fld(). (default: 'w0_fld' set to -1, 'wa_fld' to +# 0, 'cs2_fls' to 1) +#w0_fld = -0.9 +#wa_fld = 0. +#cs2_fld = 1 + +# 8.a.2.2) Equation of state of the fluid in 'EDE' case and squared sound speed +# 'cs2_fld' of the fluid (this is the sound speed defined in the frame +# comoving with the fluid, i.e. obeying to the most sensible physical +# definition). Generalizing w(a) to a more complicated expressions would +# be easy, for that, have a look into source/background.c at the +# function background_w_fld(). (default: 'w0_fld' set to -1, 'Omega_EDE' +# to 0, 'cs2_fls' to 1) +#w0_fld = -0.9 +#Omega_EDE = 0. +#cs2_fld = 1 + +# 8.b) If Omega scalar field is different from 0 + +# 8.b.1) Scalar field (scf) potential parameters and initial conditions +# (scf_parameters = [scf_lambda, scf_alpha, scf_A, scf_B, phi, +# phi_prime]). V = ((\phi-B)^\alpha + A)exp(-lambda*phi), see +# http://arxiv.org/abs/astro-ph/9908085. If 'attractor_ic_scf' is set to +# 'no', the last two entries are assumed to be the initial values of phi +# in units of the reduced planck mass m_Pl and the conformal time +# derivative of phi in units of [m_Pl/Mpc]. (Note however that CLASS +# determines the initial scale factor dynamically and the results might +# not be as expected in some models.) scf_parameters = 10.0, 0.0, 0.0, 0.0, 100.0, 0.0 -If 'attractor_ic_scf' is set to 'no', the last two entries are assumed to be -the initial values of phi in units of the reduced planck mass m_Pl and the -conformal time derivative of phi in units of [m_Pl/Mpc]. (Note however that -CLASS determines the initial scale factor dynamically and the results might not -be as expected in some models.) - -8f) Scalar field (scf) tuning parameter: If Omega_scf is negative, the - following index (0,1,2,...) in scf_parameters will be used for tuning: +# 8.b.2) Scalar field (scf) initial conditions from attractor solution (assuming +# pure exponential potential). (default: yes) +attractor_ic_scf = yes +# 8.b.3) Scalar field (scf) shooting parameter: If Omega_scf is set (can only be negative), +# the following index (0,1,2,...) in the list scf_parameters will be used for shooting: +# (See also the section about shooting in input.c) +# Basically parameter number scf_tuning_index will be adjusted until +# the correct Omega_scf is found to suffice the budget equation scf_tuning_index = 0 -9) scale factor today 'a_today' (arbitrary and irrelevant for most purposes) - (default: set to 1) - -# a_today = 1. - --------------------------------- -----> thermodynamics parameters: --------------------------------- - -1) primordial Helium fraction 'YHe', e.g. 0.25; if set to 'BBN' or 'bbn', will - be inferred from Big Bang Nucleosynthesis (default: set to 'BBN') - -YHe = BBN - -2) 'recombination' algorithm set to 'RECFAST' or 'HyRec' - -recombination = RECFAST - -2) parametrization of reionization: 'reio_parametrization' must be one - of 'reio_none' (no reionization), 'reio_camb' (like CAMB: one - tanh() step for hydrogen reionization one for second helium - reionization), 'reio_bins_tanh' (binned history x_e(z) with tanh() - interpolation between input values), 'reio_half_tanh' (like - 'reio_camb' excepted that we match the function xe(z) from - recombination with only half a tanh(z-z_reio)), 'reio_many_tanh' - (arbitrary number of tanh-like steps with specified ending values, - a scheme usually more useful than 'reio_bins_tanh'), 'reio_inter' - (linear interpolation between discrete values of xe(z))... (default: - set to 'reio_camb') - -reio_parametrization = reio_camb - -3.a.) if 'reio_parametrization' set to 'reio_camb' or 'reio_half_tanh': enter - one of 'z_reio' or 'tau_reio' (default: 'z_reio' set to 11.357 to get tau_reio of 0.0925), plus - 'reionization_exponent', 'reionization_width', - 'helium_fullreio_redshift', 'helium_fullreio_width' - (default: set to 1.5, 0.5, 3.5, 0.5) - -z_reio = 11.357 -#tau_reio = 0.0925 - -reionization_exponent = 1.5 -reionization_width = 0.5 -helium_fullreio_redshift = 3.5 -helium_fullreio_width = 0.5 - -3.b.) if 'reio_parametrization' set to 'reio_bins_tanh': enter number of bins - and list of z_i and xe_i defining the free electron density at the center - of each bin. Also enter a dimensionless paramater regulating the - sharpness of the tanh() steps, independently of the bin width; - recommended sharpness is 0.3, smaller values will make steps too sharp, - larger values will make the step very progressive but with discontinuity - of x_e(z) derivative around z_i values. - (default: set to 0, blank, blank, 0.3) - -binned_reio_num = 3 -binned_reio_z = 8,12,16 -binned_reio_xe = 0.8,0.2,0.1 -binned_reio_step_sharpness = 0.3 - -3.c.) if 'reio_parametrization' set to 'reio_many_tanh': enter number of jumps, - list of jump redhsifts z_i (central value of each tanh()), list of free electron density x_i after each jump, and common width of all jumps. If you want to end up with all hydrogen reionized but neglecting helium reionization, the first value of x_i in the list should be 1. For each x_i you can also pass the flags -1 or -2. They mean: for -1, after hydrogen + first helium recombination (so the code will substitute a value bigger than one based on Y_He); for -2, after hydrogen + second helium recombination (the code will substitute an even bigger value based on Y_He). You can get results close to reio_camb by setting these parameters to the value showed below (and adapting the second many_tanh_z to the usual z_reio). (default: not set) - -many_tanh_num = 2 -many_tanh_z = 3.5,11.3 -many_tanh_xe = -2,-1 -many_tanh_width = 0.5 - -3.d.) if 'reio_parametrization' set to 'reio_inter': enter the number -of points, the list of redshifts z_i, and the list of free electron -fraction values x_i. The code will do linear interpolation between -them. The first z_i should always be 0. Like above, for each x_i, you -can also pass the flags -1 or -2. They mean: for -1, after the -hydrogen and the first helium recombination (so the code will -substitute a value bigger than one based on Y_He); for -2, after the -hydrogen and the second helium recombination (the code will substitute -an even bigger value based on Y_He). The last value of x_i should -always be zero, the code will substitute it with the value that one -would get in absence of reionization, as computed by the recombination -code. (default: not set) - -reio_inter_num = 8 -reio_inter_z = 0, 3, 4, 8, 9, 10, 11, 12 -reio_inter_xe = -2, -2, -1, -1, 0.9, 0.5, 0.1, 0 - -4.a) in order to model energy injection from DM annihilation, specify a - parameter 'annihilation' corresponding to the energy fraction absorbed by - the gas times the DM cross section divided by the DM mass, (f / - m_cdm), see e.g. 0905.0003, expressed here in units of m^3/s/Kg - (default: set to zero) - -annihilation = 0. - -4.b) you can model simple variations of the above quanity as a function of - redhsift. If 'annihilation_variation' is non-zero, the function F(z) - defined as (f / m_cdm)(z) will be a parabola in log-log scale - between 'annihilation_zmin' and 'annihilation_zmax', with a curvature - given by 'annihilation_variation' (must be negative), and with a maximum - in 'annihilation_zmax'; it will be constant outside this range. To take DM - halos into account, specify the parameters 'annihilation_f_halo', the - amplitude of the halo contribution, and 'annihilation_z_halo', the - characteristic redshift of halos - (default: no variation, 'annihilation_variation' and 'annihilation_f_halo' - set to zero). - -annihilation_variation = 0. -annihilation_z = 1000 -annihilation_zmax = 2500 -annihilation_zmin = 30 -annihilation_f_halo= 20 -annihilation_z_halo= 8 - -4.c) You can also state whether you want to use the on-the-spot approximation - (default: 'on the spot' is 'yes') - -on the spot = yes - -5) to model DM decay, specify a parameter 'decay' which is equal to the energy - fraction absorbed by the gas divided by the lifetime of the particle, see - e.g. 1109.6322, expressed here in 1/s - (default: set to zero) - -decay = 0. - -6) State whether you want the code to compute the simplest analytic approximation to the photon damping scale (it will be added to the thermodynamics output, and its value at recombination will be stored and displayed in the standard output) (default: 'compute damping scale' set to 'no') - -# compute damping scale = yes - ----------------------------------------------------- -----> define which perturbations should be computed: ----------------------------------------------------- - -1.a) list of output spectra requested: -- 'tCl' for temperature Cls, -- 'pCl' for polarization Cls, -- 'lCl' for CMB lensing potential Cls, -- 'nCl' (or 'dCl') for density number count Cls, -- 'sCl' for galaxy lensing potential Cls, -- 'mPk' for total matter power spectrum P(k) infered from gravitational potential, -- 'dTk' (or 'mTk') for density transfer functions for each species, -- 'vTk' for velocity transfer function for each species. -Warning: both lCl and sCl compute the C_ls of the lensing potential, C_l^phi-phi. -If you are used to other codes, you may want to deal instead with the deflection -Cls or the shear/convergence Cls. The relations between them are trivial: ---> deflection d: - Cl^dd = l(l+1) C_l^phiphi ---> convergence kappa and shear gamma: the share the same harmonic power spectrum: - Cl^gamma-gamma = 1/4 * [(l+2)!/(l-2)!] C_l^phi-phi -By defaut, the code will try to compute the following cross-correlation Cls (if -available): temperature-polarisation, temperature-CMB lensing, polarization-CMB -lensing, CMB lensing-density, and density-lensing. Other cross-correlations are -not computed because they would slow down the code considerably. - -Can be left blank if you do not want to evolve cosmological perturbations at -all. (default: set to blanck, no perturbation calculation) - -output = tCl,pCl,lCl -#output = tCl,pCl,lCl,mPk -#output = mPk,mTk - -1.b) if you included 'tCl' in the list, you can take into account only some of - the terms contributing to the temperature spectrum: intrinsic temperature - corrected by Sachs-Wolfe ('tsw' or 'TSW'), early integrated Sachs-Wolfe - ('eisw' or 'EISW'), late integrated Sachs-Wolfe ('lisw' or 'LISW'), - Doppler ('dop' or 'Dop'), polarisation contribution ('pol' or 'Pol'). Put - below the list of terms to be included - (defaut: if this field is not passed, all terms will be included) - -#temperature contributions = tsw, eisw, lisw, dop, pol - -1.c) if one of 'eisw' or 'lisw' is turned off, the code will read 'early/late - isw redshift', the split value of redshift z at which the isw is - considered as late or early (if this field is absent or left blank, by - default, 'early/late isw redshift' is set to 50) - -#early/late isw redshift = - -1.d) if you included 'nCl' (or 'dCl') in the list, you can take into account - only some of the terms contributing to the obsevable number count - fluctuation spectrum: matter density ('density'), redshift-space and - Doppler distortions ('rsd'), lensing ('lensing'), or gravitational - potential terms ('gr'). Put below the list of terms to be included - (defaut: if this field is not passed, only 'dens' will be included) - -#number count contributions = density, rsd, lensing, gr - -1.e) if you included 'dTk' (or 'mTk') in the list, the code will give -you by default the transfer function of the scale-invariant Bardeen -potentials (for whatever gauge you are using). If you need the -transfer function of additional metric fluctuations, specific to the -gauge you are using, set the following flag to 'yes' (default: -set to 'no') - -extra metric transfer functions = - -2) if you want an estimate of the non-linear P(k) and Cls, enter 'halofit' or - 'Halofit' or 'HALOFIT' for Halofit; otherwise leave blank - (default: blank, linear P(k) and Cls) - -non linear = - -3) if you want to consider perturbed recombination, enter a word containing the - letter 'y' or 'Y'. CLASS will then compute the perturbation in the - ionization fraction x_e and the baryon temperature. The initial conformal - time will be small, therefore you should use the default integrator ndf15 - (i.e. do not set 'evolver' to 0, otherwise the code will be slower). - (default: neglect perturbed recombination) - -#perturbed recombination = yes - -4) list of modes ('s' for scalars, 'v' for vectors, 't' for tensors). More than - one letter allowed, can be attached or separated by arbitrary characters; - letters can be small or capital. - (default: set to 's') - -modes = s -#modes = s,t - -5) relevant only if you ask for 'tCl, lCl' and/or 'pCl, lCl': if you want the - spectrum of lensed Cls, enter a word containing the letter 'y' or 'Y' - (default: no lensed Cls) - -lensing = yes - -6) which perturbations should be included in tensor calculations? write 'exact' - to include photons, ultra-relativistic species 'ur' and all non-cold dark - matter species 'ncdm'; write 'massless' to appriximate 'ncdm' as extra - relativistic species (good approximation if ncdm is still relativistic at - the time of recombination); write 'photons' to include only photons - (default: 'massless') - -tensor method = - -7) list of initial conditions for scalars ('ad' for adiabatic, 'bi' for baryon - isocurvature, 'cdi' for CDM isocurvature, 'nid' for neutrino density - isocurvature, 'niv' for neutrino velocity isocurvature). More than one of - these allowed, can be attached or separated by arbitrary characters; letters - can be small or capital. - (default: set to 'ad') - -ic = ad -#ic = ad&bi&nid - -8) gauge in which calculations are performed: 'sync' or 'synchronous' or - 'Synchronous' for synchronous, 'new' or 'newtonian' or 'Newtonian' for - Newtonian/longitudinal gauge - (default: set to synchronous) - -gauge = synchronous - ---------------------------------------------- -----> define primordial perturbation spectra: ---------------------------------------------- - -1) primordial spectrum type ('analytic_Pk' for an analytic smooth function with amplitude, tilt, running, etc.; analytic spectra with feature can also be added as a new type;'inflation_V' for a numerical computation of the inflationary primordial spectrum, through a full integration of the perturbation equations, given a parametrization of the potential V(phi) in the observable window, like in astro-ph/0703625; 'inflation_H' for the same, but given a parametrization of the potential H(phi) in the observable window, like in astro-ph/0710.1630; 'inflation_V_end' for the same, but given a parametrization of the potential V(phi) in the whole region between the observable part and the end of inflation; there is also an option 'two scales' in order to specify two amplitudes instead of one amplitude and one tilt, like in the isocurvature mode analysis of the Planck inflation paper (works also for adiabatic mode only; see details below, item 2.c); finally 'external_Pk' allows for the primordial spectrum to be computed externally by some piece of code, or to be read from a table, see 2.d). (default: set to 'analytic_Pk') - -P_k_ini type = analytic_Pk - -2) parameters related to one of the primordial spectrum types (will only be - read if they correspond to the type selected above) - -2.a) for type 'analytic_Pk': - -2.a.1) pivot scale in Mpc-1 (default: set to 0.05) +# 8.b.4) Scalar field (scf) shooting parameter. With this, you can overwrite some parameter +# of 8.b.1) depending on the index defined in 8.b.3) +scf_shooting_parameter = + +# ----------------------------------------- +# ----> Exotic energy injection parameters: +# ----------------------------------------- + +# 1) DM Annihilation + +# 1.a) In order to model energy injection from DM annihilation, specify a +# parameter 'annihilation_efficiency' corresponding to +# / m_cdm expressed here in units of m^3/s/J. Alternatively, +# you can specify the annihilation cross section in cm^3/s and the DM +# mass in GeV. The code will then evaluate 'annihilation_efficiency'. +# (default: all set to zero) +DM_annihilation_efficiency = 0. +#DM_annihilation_cross_section = 0. +#DM_annihilation_mass = 0. +#DM_annihilation_fraction = 0. + +# 1.a.1) You can model simple variations of the above quantity as a function of +# redhsift. If 'annihilation_variation' is non-zero, the function F(z) +# defined as ( / m_cdm)(z) (see 1.a) will be a parabola in log-log scale +# between 'annihilation_zmin' and 'annihilation_zmax', with a curvature +# given by 'annihilation_variation' (must be negative), and with a maximum +# in 'annihilation_zmax'; it will be constant outside this range. To +# take DM halos into account, specify the parameters 'annihilation_f_halo', +# the amplitude of the halo contribution, and 'annihilation_z_halo', +# the characteristic redshift of halos (default: no variation, +# 'annihilation_variation' and 'annihilation_f_halo' set to zero). +DM_annihilation_variation = 0. +DM_annihilation_z = 1000 +DM_annihilation_zmax = 2500 +DM_annihilation_zmin = 30 +DM_annihilation_f_halo= 0 +DM_annihilation_z_halo= 8 + + +# 2) DM electromagnetic decay + +# 2.a) Specify the dimensionless parameter 'decay_fraction' which is +# equal to the fraction of cdm with electromagnetic decay +# products (decaying into dark radiation is handled by +# Omega_dcdm). Note: Until class 2.7, this parameter was called +# 'decay'. Its name and its meaning have slightly changed to +# avoid confusion when working with model in which the lifetime +# of the dcdm can be small (this is allowed providing that the +# 'decay_fraction' parameter is small as well). (default: set to +# 0) +DM_decay_fraction = 0. + +# 2.b) Specify the decay width of the particle 'decay_Gamma' in 1/s. +# (default: set to 0) +DM_decay_Gamma = 0. + + +# 3) PBH evaporation. In this case, check that in 5), 'f_eff_type' and +# 'f_eff' have their default values 'on_the_spot' and 1, because CLASS +# will automatically take into account the time-dependent efficiency +# of energy injection from evaporating BH, taking the spectrum of +# evaporated particles into account. + +# 3.a) Specify a dimensionless parameter 'PBH_evaporation_fraction' which is equal +# to the fraction of evaporating PBH. (default set to 0) +PBH_evaporation_fraction = 0. + +# 3.b) Specify the mass of the evaporating PBH in g. (default set to 0) +PBH_evaporation_mass = 0. + + +# 4) PBH matter accretion + +# 4.a) Specify a dimensionless parameter 'PBH_accreting_fraction' which is equal +# to the fraction of accreting PBH. (default set to 0) +PBH_accretion_fraction = 0. + +# 4.b) Specify the mass of the accreting PBH in Msun. (default set to 0) +PBH_accretion_mass = 0. + +# 4.c) Specify the 'PBH_accretion_recipe' between 'spherical_accretion' +# (computed according to Ali-Haimoud and Kamionkowski 1612.05644), or +# 'disk_accretion' (computed according to Poulin et al. 1707.04206). +# (default set to 'disk_accretion') +PBH_accretion_recipe = disk_accretion + +# 4.c.1) If you choose 'spherical_accretion', you might want to specify the +# relative velocity between PBH and baryons in km/s. +# If negative, the linear result is chosen by the code. +# (default set to -1., standard value is the linear result extrapolated to PBH.) +PBH_accretion_relative_velocities = -1. + +# 4.c.2) If you choose 'disk_accretion', you might want to specify the +# factor 'PBH_accretion_ADAF_delta' which, determines the heating +# of the electrons in the disk, influencing the emissivity. +# Can be set to 0.5 (aggressive scenario), 0.1 or 1.e-3 (conservative). +# (default set to 1.e-3) +# Furthermore you can also specify the the eigenvalue of the accretion +# rate. It rescales the perfect Bondi case. (see e.g. Ali-Haimoud +# & Kamionkowski 2016) (default set to 0.1, standard value in the ADAF +# scenario.) +PBH_accretion_ADAF_delta = 1.e-3 +PBH_accretion_eigenvalue = 0.1 + +# 5) Define the so-called injection efficiency f_eff, i.e. the factor +# determining how much of the heating is deposited at all, +# regardless of the form. There are two options to define this +# function: 'on_the_spot' or 'from_file' (default: set to 'on_the_spot'). +# +# - with 'on_the_spot', the injected energy is transformed into deposited energy +# at the same redshift with efficiency f_eff. In this case the +# user can pass explicitely the value of f_eff. (default: f_eff=1) +# +# - for 'from_file' the code reads a precomputed function in an external file +# with a path set by the user (default set to "external/heating/example_f_eff_file.dat") +f_eff_type = on_the_spot +#f_eff = +#f_eff_file = external/heating/example_f_eff_file.dat + +# 6) Define the so-called deposition function chi, i.e the function which determines +# the amount of energy effectively deposited into the different forms (heating, +# ionization, Lyman alpha and low energy). There are several options +# - by setting 'chi_type' to 'CK_2004', the approximation by Chen & Kamionkowski 2004 is employed. +# - by setting 'chi_type' to 'PF_2005', the approximation by Padmanabhan & Finkbeiner 2005 is employed. +# - by setting 'chi_type' to 'Galli_2013_file', the approximation by Galli et al. 2013 is employed. +# - by setting 'chi_type' to 'Galli_2013_analytic', the approximation by Poulin is employed. +# interpolating Galli et al. 2013 anyltically. Use this for consistency tests with +# older versions of CLASS (2.x). +# - by setting 'chi_type' to 'heat', the whole injected energy is going +# to be deposited into heat. +# - by setting 'chi_type' to 'from_x_file' or 'from_z_file', the user can +# define own deposition functions with respect to the free electron +# fraction x_e or to redshift, respectively. +# (default set to 'CK_2004') +chi_type = CK_2004 + +# 6.a) If the option 'from_file' has been chosen, define the name of the file. +# Two files 'example_chix_file.dat' and 'example_chiz_file.dat' are given +# as example in external/heating. Note that 'example_chix_file.dat' has +# been computed according to the approximations of Galli et al. 2013. +# (default set to "external/heating/example_f_eff_file.dat") +#chi_file = external/heating/example_chiz_file.dat +#chi_file = external/heating/example_chix_file.dat + + + +# ------------------------------- +# ----> Non-linear parameters: +# ------------------------------- + +# 1) If you want an estimate of the non-linear P(k) and Cls: +# Enter 'halofit' or 'Halofit' or 'HALOFIT' for Halofit +# Enter 'hmcode' or 'Hmcode' or 'HMcode' or 'HMCODE' for HMcode; +# otherwise leave blank (default: blank, linear P(k) and Cls) +non_linear = + +# 1.a) if you chose Halofit, and you have Omega0_fld != 0. (i.e. you +# set Omega_lambda=0.) & wa_fld != 0., then you might want to use the +# pk equal method of 0810.0190 and 1601.07230 by setting this flag to +# 'yes' (default: set to 'no') +pk_eq = + +# 1.b) if you chose HMcode: +# In HMcode you can specify a baryonic feedback model (otherwise only DM is used). +# Each model depends on two parameters: the minimum concentration "c_min" from the +# Bullock et al. 2001 mass-concentration relation and the halo bloating parameter "eta_0" +# introduced in Mead et al. 2015. In Mead et al. 2015 the parameters c_min and eta_0 are fitted +# to the Cosmic Emulator dark matter only simulation (Heitman et al. 2014) and the +# hydrodynamical OWLS simulations (Schaye et al. 2010, van Daalen et al. 2011). +# You can choose between the 5 models of Mead et al. 2015, Table 4: +# Model (eta_0, c_min) Explanation +# - 'emu_dmonly' (0.603, 3.13) fits the only dark matter Cosmic Emulator simulation (default) +# - 'owls_dmonly' (0.64, 3.43) fits the OWLS simulation of dark matter only +# - 'owls_ref' (0.68, 3.91) fits the OWLS simulation that includes gas cooling, heating, +# star formation and evolution, chemical enrichment and supernovae feedback +# - 'owls_agn' (0.76, 2.32) fits the OWLS simulation that includes AGN feedback +# - 'owls_dblim' (0.70, 3.01) fits the OWLS simulation that has extra supernova energy in wind velocity +# Set 'feedback model' to one of these names, +# or leave blank and pass manually the value of either 'eta_0' or 'c_min' +# (the other one will then be fixed according to equation (30) in Mead et al. 2015), +# or pass manually the two values of 'eta_0' and 'c_min' +# (default: 'feedback model' set to 'nl_emu_dmonly') +feedback model = +eta_0 = +c_min = + +# ---------------------------- +# ----> Primordial parameters: +# ---------------------------- + +# 1) Primordial spectrum type +# - 'analytic_Pk' for an analytic smooth function with amplitude, tilt, +# running, etc.; analytic spectra with feature can also be added as +# a new type; +# - 'inflation_V' for a numerical computation of the inflationary +# primordial spectrum, through a full integration of the perturbation +# equations, given a parametrization of the potential V(phi) in the +# observable window, like in astro-ph/0703625; +# - 'inflation_H' for the same, but given a parametrization of the +# potential H(phi) in the observable window, like in +# astro-ph/0710.1630; +# - 'inflation_V_end' for the same, but given a parametrization of the +# potential V(phi) in the whole region between the observable part and +# the end of inflation; +# - 'two scales' allows to specify two amplitudes instead of one +# amplitude and one tilt, like in the isocurvature mode analysis of the +# Planck inflation paper (works also for adiabatic mode only; see +# details below, item 2.c); +# - 'external_Pk' allows for the primordial spectrum to be computed +# externally by some piece of code, or to be read from a table, see +# 2.d). +# (default: set to 'analytic_Pk') +Pk_ini_type = analytic_Pk + +# 1.a) Pivot scale in Mpc-1 (default: set to 0.05) k_pivot = 0.05 -2.a.2) scalar adiabatic perturbations: curvature power spectrum value at pivot scale ('A_s' or 'ln10^{10}A_s') OR 'sigma8' (found by iterations using a shooting method), tilt at the same scale 'n_s', and tilt running 'alpha_s' (default: set 'A_s' to 2.215e-9, 'n_s' to 0.9619, 'alpha_s' to 0) - -A_s = 2.215e-9 -#ln10^{10}A_s = 3.0980 -# sigma8 = 0.848365 -n_s = 0.9619 +# 1.b) For type 'analytic_Pk': +# 1.b.1) For scalar perturbations +# curvature power spectrum value at pivot scale ('A_s' or +# 'ln_A_s_1e10') OR one of 'sigma8' or 'S8' (found by iterations using a shooting +# method). (default: set 'A_s' to 2.100549e-09) +A_s = 2.100549e-09 +#ln_A_s_1e10 = 3.04478383 +#sigma8 = 0.824398 +#S8 = 0.837868 + +# 1.b.1.1) Adiabatic perturbations: +# tilt at the same scale 'n_s', and tilt running 'alpha_s' +# (default: set 'n_s' to 0.9660499, 'alpha_s' to 0) +n_s = 0.9660499 alpha_s = 0. -2.a.3) isocurvature/entropy perturbations: for each mode xx ('xx' being one of - 'bi', 'cdi', 'nid', 'niv', corresponding to baryon, cdm, neutrino - density and neutrino velocity entropy perturbations), enter the - entropy-to-curvature ratio f_xx, tilt n_xx and running alpha_xx, all - defined at the pivot scale; e.g. f_cdi of 0.5 means S_cdi/R equal to - one half and (S_cdi/R)^2 to 0.25 - (default: set each 'f_xx' to 1, 'n_xx' to 1, 'alpha_xx' to 0) - +# 1.b.1.2) Isocurvature/entropy perturbations: +# for each mode xx ('xx' being one of 'bi', 'cdi', 'nid', 'niv', +# corresponding to baryon, cdm, neutrino density and neutrino velocity +# entropy perturbations), enter the entropy-to-curvature ratio f_xx, +# tilt n_xx and running alpha_xx, all defined at the pivot scale; e.g. +# f_cdi of 0.5 means S_cdi/R equal to one half and (S_cdi/R)^2 to 0.25 +# (default: set each 'f_xx' to 1, 'n_xx' to 1, 'alpha_xx' to 0) f_bi = 1. n_bi = 1.5 - f_cdi=1. - f_nid=1. n_nid=2. alpha_nid= 0.01 - -etc. - -2.a.4) cross-correlation between different adiabatic/entropy mode: for each - pair (xx, yy) where 'xx' and 'yy' are one of 'ad', 'bi', 'cdi', 'nid', - 'niv', enter the correlation c_xx_yy (parameter between -1 and 1, - standing for cosDelta, the cosine of the cross-correlation angle), the - tilt n_xx_yy of the function cosDelta(k), and its running alpha_xx_yy, - all defined at the pivot scale. So, for a pair of fully correlated - (resp. anti-correlated) modes, one should set (c_xx_yy, n_xx_yy, - alpha_xx_yy) to (1,0,0) (resp. (-1,0,0) - (default: set each 'c_xx_yy' to 0, 'n_xx_yy' to 0, 'alpha_xx_yy' to 0) - +# etc. + +# 1.b.1.3) Cross-correlation between different adiabatic/entropy mode: +# for each pair (xx, yy) where 'xx' and 'yy' are one of 'ad', 'bi', +# 'cdi', 'nid', 'niv', enter the correlation c_xx_yy (parameter between +# -1 and 1, standing for cosDelta, the cosine of the cross-correlation +# angle), the tilt n_xx_yy of the function cosDelta(k), and its running +# alpha_xx_yy, all defined at the pivot scale. So, for a pair of fully +# correlated (resp. anti-correlated) modes, one should set (c_xx_yy, +# n_xx_yy, alpha_xx_yy) to (1,0,0) (resp. (-1,0,0) (default: set each +# 'c_xx_yy' to 0, 'n_xx_yy' to 0, 'alpha_xx_yy' to 0) c_ad_bi = 0.5 #n_ad_bi = 0.1 - c_ad_cdi = -1. - c_bi_nid = 1. #n_bi_nid = -0.2 #alpha_bi_nid = 0.002 - -etc. - -2.a.5) tensor mode (if any): tensor-to-scalar power spectrum ratio, tilt, - running at the pivot scale; if 'n_t' and/or 'alpha_t' is set to 'scc' or - 'SCC' isntead of a numerical value, it will be inferred from the - self-consistency condition of single field slow-roll inflation: for n_t, - -r/8*(2-r/8-n_s); for alpha_t, r/8(r/8+n_s-1) - (default: set 'r' to 1, 'n_t' to 'scc', 'alpha_t' to 'scc') - +# etc. + +# 1.b.2) For tensor perturbations (if any): +# tensor-to-scalar power spectrum ratio, tilt, +# running at the pivot scale; if 'n_t' and/or 'alpha_t' is set to 'scc' +# or 'SCC' isntead of a numerical value, it will be inferred from the +# self-consistency condition of single field slow-roll inflation: for +# n_t, -r/8*(2-r/8-n_s); for alpha_t, r/8(r/8+n_s-1) (default: set 'r' +# to 1, 'n_t' to 'scc', 'alpha_t' to 'scc') r = 1. n_t = scc alpha_t = scc -2.b) for type 'inflation_V' - -2.b.1) type of potential: 'polynomial' for a Taylor expansion of the potential around phi_pivot. Other shapes can easily be defined in primordial module. - +# 1.c) For type 'inflation_V' +# 1.c.1) Type of potential: 'polynomial' for a Taylor expansion of the +# potential around phi_pivot. Other shapes can easily be defined in +# primordial module. potential = polynomial -2.b.2) for 'inflation_V' and 'polynomial': enter either the coefficients 'V_0', 'V_1', 'V_2', 'V_3', 'V_4' of the Taylor expansion (in units of Planck mass to appropriate power), or their ratios 'R_0', 'R_1', 'R_2', 'R_3', 'R_4' corresponding to (128pi/3)*V_0^3/V_1^2, V_1^2/V_0^2, V_2/V_0, V_1*V_3/V_0, V_1^2*V_4/V_0^3, or the potential-slow-roll parameters 'PSR_0', 'PSR_1', 'PSR_2', 'PSR_3', 'PSR_4', equal respectively to R_0, epsilon_V=R_1/(16pi), eta_V=R_2/(8pi), ksi_V=R_3/(8pi)^2, omega_V=R_4/(8pi)^3 (default: 'V_0' set to 1.25e-13, 'V_1' to 1.12e-14, 'V_2' to 6.95e-14, 'V_3' and 'V_4' to zero). - +# 1.c.2) For 'inflation_V' and 'polynomial': enter either the coefficients +# 'V_0', 'V_1', 'V_2', 'V_3', 'V_4' of the Taylor expansion (in units of +# Planck mass to appropriate power), or their ratios 'R_0', 'R_1', +# 'R_2', 'R_3', 'R_4' corresponding to (128pi/3)*V_0^3/V_1^2, +# V_1^2/V_0^2, V_2/V_0, V_1*V_3/V_0, V_1^2*V_4/V_0^3, or the +# potential-slow-roll parameters 'PSR_0', 'PSR_1', 'PSR_2', 'PSR_3', +# 'PSR_4', equal respectively to R_0, epsilon_V=R_1/(16pi), +# eta_V=R_2/(8pi), ksi_V=R_3/(8pi)^2, omega_V=R_4/(8pi)^3 (default: +# 'V_0' set to 1.25e-13, 'V_1' to 1.12e-14, 'V_2' to 6.95e-14, 'V_3' +# and 'V_4' to zero). V_0=1.e-13 V_1=-1.e-14 V_2=7.e-14 V_3= V_4= - #R_0=2.18e-9 #R_1=0.1 #R_2=0.01 #R_3= #R_4= - #PSR_0 = 2.18e-9 #PSR_1 = 0.001989 #PSR_2 = 0.0003979 #PSR_3 = #PSR_4 = -2.c) for 'inflation_H': enter either the coefficients 'H_0', 'H_1', 'H_2', 'H_3', 'H_4' of the Taylor expansion (in units of Planck mass to appropriate power), or the Hubble-slow-roll parameters 'HSR_0', 'HSR_1', 'HSR_2', 'HSR_3', 'HSR_4' - +# 1.d) For 'inflation_H': +# enter either the coefficients 'H_0', 'H_1', 'H_2', 'H_3', 'H_4' of the +# Taylor expansion (in units of Planck mass to appropriate power), or the +# Hubble-slow-roll parameters 'HSR_0', 'HSR_1', 'HSR_2', 'HSR_3', 'HSR_4' H_0=1.e-13 H_1=-1.e-14 H_2=7.e-14 H_3= H_4= - #HSR_0 = 2.18e-9 #HSR_1 = 0.001989 #HSR_2 = 0.0003979 #HSR_3 = #HSR_4 = -2.d) for type 'inflation_V_end': - -2.d.1) value of the field at the minimum of the potential after inflation, or at a value in which you want to impose the end of inflation, in hybrid-like models. By convention, the code expects inflation to take place for values smaller than this value, with phi increasing with time (using a reflection symmetry, it is always possible to be in that case) (default: 'phi_end' set to 0) - +# 1.e) For type 'inflation_V_end': +# 1.e.1) Value of the field at the minimum of the potential after inflation, or +# at a value in which you want to impose the end of inflation, in +# hybrid-like models. By convention, the code expects inflation to take +# place for values smaller than this value, with phi increasing with +# time (using a reflection symmetry, it is always possible to be in that +# case) (default: 'phi_end' set to 0) phi_end = -2.d.2) shape of the potential. Refers to functions pre-coded in the primordail module, so far 'polynomial' and 'higgs_inflation'. (default: 'full_potential' set to 0) - +# 1.e.2) Shape of the potential. Refers to functions pre-coded in the primordail +# module, so far 'polynomial' and 'higgs_inflation'. (default: +# 'full_potential' set to 0) full_potential = polynomial -2.d.3) parameters of the potential. The meaning of each parameter is explained in the function primrodial_inflation_potential() in source/primordial.c - +# 1.e.3) Parameters of the potential. The meaning of each parameter is +# explained in the function primrodial_inflation_potential() in +# source/primordial.c Vparam0 = Vparam1 = Vparam2 = Vparam3 = Vparam4 = -2.d.4) how much the scale factor a or the product (aH) increases between Hubble crossing for the pivot scale (during inflation) and the end of inflation. You can pass either: 'N_star' (standing for log(a_end/a_pivot)) set to a number; or 'ln_aH_ratio' (standing for log(aH_end/aH_pivot)) set to a number; (default: 'N_star' set to 60) - +# 1.e.4) How much the scale factor a or the product (aH) increases between +# Hubble crossing for the pivot scale (during inflation) and the end of +# inflation. You can pass either: 'N_star' (standing for +# log(a_end/a_pivot)) set to a number; or 'ln_aH_ratio' (standing for +# log(aH_end/aH_pivot)) set to a number; (default: 'N_star' set to 60) #ln_aH_ratio = 50 #N_star = 55 -2.d.5) should the inflation module do its nomral job of numerical integration ('numerical') or use analytical slow-roll formulas to infer the primordial spectrum from the potential ('analytical') (default: 'inflation_behavior' set to 'numerical') - +# 1.e.5) Should the inflation module do its nomral job of numerical integration +# ('numerical') or use analytical slow-roll formulas to infer the +# primordial spectrum from the potential ('analytical')? (default: +# 'inflation_behavior' set to 'numerical') #inflation_behavior = numerical -2.e) for type 'two_scales' (currently this option works only for scalar modes, and either for pure adiabatic modes or adiabatic + one type of isocurvature): - -2.e.1) two wavenumbers 'k1' and 'k2' in 1/Mpc, at which primordial amplitude - parameters will be given. The value of 'k_pivot' will not be used in - input but quantities at k_pivot will still be calculated and stored in - the primordial structure (no default value: compulsory input if 'P_k_ini - type' has been set to 'two_scales') - +# 1.f) For type 'two_scales' (currently this option works only for scalar modes, +# and either for pure adiabatic modes or adiabatic + one type of +# isocurvature): +# 1.f.1) Two wavenumbers 'k1' and 'k2' in 1/Mpc, at which primordial amplitude +# parameters will be given. The value of 'k_pivot' will not be used in +# input but quantities at k_pivot will still be calculated and stored in +# the primordial structure (no default value: compulsory input if +# 'P_k_ini type' has been set to 'two_scales') k1=0.002 k2=0.1 -2.e.2) two amplitudes 'P_{RR}^1', 'P_{RR}^2' for the adiabatic primordial - spectrum (no default value: compulsory input if 'P_k_ini type' has been - set to 'two_scales') - +# 1.f.2) Two amplitudes 'P_{RR}^1', 'P_{RR}^2' for the adiabatic primordial +# spectrum (no default value: compulsory input if 'P_k_ini type' has been +# set to 'two_scales') P_{RR}^1 = 2.3e-9 P_{RR}^2 = 2.3e-9 -2.e.3) if one isocurvature mode has been turned on ('ic' set e.g. to 'ad,cdi' - or 'ad,nid', etc.), enter values of the isocurvature amplitude - 'P_{II}^1', 'P_{II}^2', and cross-correlation amplitude 'P_{RI}^1', - '|P_{RI}^2|' (see Planck paper on inflation for details on definitions) - +# 1.f.3) If one isocurvature mode has been turned on ('ic' set e.g. to 'ad,cdi' +# or 'ad,nid', etc.), enter values of the isocurvature amplitude +# 'P_{II}^1', 'P_{II}^2', and cross-correlation amplitude 'P_{RI}^1', +# '|P_{RI}^2|' (see Planck paper on inflation for details on +# definitions) P_{II}^1 = 1.e-11 P_{II}^2 = 1.e-11 P_{RI}^1 = -1.e-13 |P_{RI}^2| = 1.e-13 -2.e.4) set 'special iso' to 'axion' or 'curvaton' for two particular cases: - 'axion' means uncorrelated, n_ad equal to n_iso, 'curvaton' means fully - anti-correlated with f_iso<0 (in the conventions of the Planck inflation - paper this would be called fully correlated), n_iso equal to one; in - these two cases, the last three of the four paramneters in 2.c.3 will be - over-written give the input for 'P_{II}^1' (defaut: 'special_iso' left - blanck, code assumes general case described by four parameters of 2.c.3) - +# 1.f.4) Set 'special iso' to 'axion' or 'curvaton' for two particular cases: +# 'axion' means uncorrelated, n_ad equal to n_iso, 'curvaton' means fully +# anti-correlated with f_iso<0 (in the conventions of the Planck +# inflation paper this would be called fully correlated), n_iso equal +# to one; in these two cases, the last three of the four paramneters in +# 2.c.3 will be over-written give the input for 'P_{II}^1' (defaut: +# 'special_iso' left blanck, code assumes general case described by four +# parameters of 2.c.3) special_iso = -2.f) for type 'external_Pk' (see external documentation external_Pk/README.md - for more details): - -2.f.1) Command generating the table. If the table is already generated, just - write "cat ". The table should have two columns (k, pk) if - tensors are not requested, or three columns (k, pks, pkt) if they are. - -#command = python external_Pk/generate_Pk_example.py -#command = python external_Pk/generate_Pk_example_w_tensors.py -command = cat external_Pk/Pk_example.dat -#command = cat external_Pk/Pk_example_w_tensors.dat - -2.f.2) If the table is not pregenerated, parameters to be passed to the - command, in the right order, starting from "custom1" and up to - "custom10". They must be real numbers. - +# 1.g) For type 'external_Pk' (see external documentation external_Pk/README.md +# for more details): +# 1.g.1) Command generating the table. If the table is already generated, just +# write "cat ". The table should have two columns (k, pk) if +# tensors are not requested, or three columns (k, pks, pkt) if they are. +#command = python external/external_Pk/generate_Pk_example.py +#command = python external/external_Pk/generate_Pk_example_w_tensors.py +command = cat external/external_Pk/Pk_example.dat +#command = cat external/external_Pk/Pk_example_w_tensors.dat + +# 1.g.2) If the table is not pregenerated, parameters to be passed to the +# command, in the right order, starting from "custom1" and up to +# "custom10". They must be real numbers. custom1 = 0.05 # In the example command: k_pivot custom2 = 2.215e-9 # In the example command: A_s custom3 = 0.9624 # In the example command: n_s @@ -692,57 +1032,48 @@ custom5 = -0.1 # In the example (with tensors) command: n_t #custom9 = 0 #custom10 = 0 -------------------------------------- -----> define format of final spectra: -------------------------------------- -1) maximum l for CLs: -- 'l_max_scalars' for CMB scalars (temperature, polarization, cmb lensing potential), -- 'l_max_tensors' for CMB tensors (temperature, polarization) -- 'l_max_lss' for Large Scale Structure Cls (density, galaxy lensing potential) -Reducing 'l_max_lss' with respect to l_max_scalars reduces the execution time significantly -(default: set 'l_max_scalars' to 2500, 'l_max_tensors' to 500, 'l_max_lss' to 300) +# ------------------------- +# ----> Spectra parameters: +# ------------------------- + +# 1) Maximum l for CLs: +# - 'l_max_scalars' for CMB scalars (temperature, polarization, cmb +# lensing potential), +# - 'l_max_vectors' for CMB vectors +# - 'l_max_tensors' for CMB tensors (temperature, polarization) +# - 'l_max_lss' for Large Scale Structure Cls (density, galaxy +# lensing potential) +# Reducing 'l_max_lss' with respect to l_max_scalars reduces the execution +# time significantly (default: set 'l_max_scalars' to 2500, 'l_max_vectors' +# to 500, 'l_max_tensors' to 500, 'l_max_lss' to 300) l_max_scalars = 2500 +#l_max_vectors = 500 l_max_tensors = 500 -#l_max_lss = 600 - -2) maximum k in P(k), 'P_k_max_h/Mpc' in units of h/Mpc or 'P_k_max_1/Mpc' in - units of 1/Mpc. If scalar Cls are also requested, a minimum value is - automatically imposed (the same as in scalar Cls computation) - (default: set to 1 1/Mpc) - -P_k_max_h/Mpc = 1. -#P_k_max_1/Mpc = 0.7 - -3) value(s) 'z_pk' of redshift(s) for P(k,z) output file(s); can be ordered - arbitrarily, but must be separated by comas (default: set 'z_pk' to 0) - -z_pk = 0 -#z_pk = 0., 1.2, 3.5 - -4) if the code is interfaced with routines that need to interpolate P(k,z) at - various values of (k,z), enter 'z_max_pk', the maximum value of z at which - such interpolations are needed. (default: set to maximum value in above - 'z_pk' input) - -#z_max_pk = 10. - -6) parameters for the the matter density number count (option 'nCl' (or 'dCl')) - or galaxy lensing potential (option 'sCl') Cls: - -6a) enter here a description of the selection functions W(z) of each - redshift bin; selection can be set to 'gaussian', 'tophat' or - 'dirac', then pass a list of N mean redshifts in growing order - separated by comas, 1 or N widths separated by comas, 1 or N bias - separated by a comma, and 1 or N magnification bias separated by a - comma. The width stands for one standard deviation of the gaussian - (in z space), or for the half-width of the top-hat. Finally, - non_diagonal sets the number of cross-correlation spectra that you - want to calculate: 0 means only auto-correlation, 1 means only - adjacent bins, and number of bins minus one means all correlations - (default: set to 'gaussian',1,0.1,1.,0.,0) - +#l_max_lss = 300 + + +# 2) Parameters for the the matter density number count (option 'nCl' +# (or 'dCl')) or galaxy lensing potential (option 'sCl') Cls: +# 2.a) Enter here a description of the selection functions W(z) of each redshift +# bin; selection can be set to 'gaussian', 'tophat' or 'dirac', then pass a +# list of N mean redshifts in growing order separated by comas, 1 or N +# widths separated by comas, 1 or N bias separated by a comma, and 1 or N +# magnification bias separated by a comma. The width stands for one +# standard deviation of the gaussian (in z space), or for the half-width of +# the top-hat. Finally, non_diagonal sets the number of cross-correlation +# spectra that you want to calculate: 0 means only auto-correlation, 1 +# means only adjacent bins, and number of bins minus one means all +# correlations (default: set to 'gaussian',1,0.1,1.,0.,0) +# +# NOTE: For good performances, the code uses the Limber approximation for +# nCl. If you want high precision even with thin selection functions, +# increase the default value of the precision parameters +# l_switch_limber_for_nc_local_over_z and +# l_switch_limber_for_nc_los_over_z; for instance, add them to the +# input file with values 10000 and 2000, instead of the default 100 +# and 30. selection=gaussian selection_mean = 0.98,0.99,1.0,1.1,1.2 selection_width = 0.1 @@ -750,106 +1081,266 @@ selection_bias = selection_magnification_bias = non_diagonal=4 - [note: for good performances, the code uses the Limber approximation for nCl. If you want high precision even with thin selection functions, increase the default value of the precision parameters l_switch_limber_for_nc_local_over_z, l_switch_limber_for_nc_los_over_z; for instance, add them to the input file with values 10000 and 2000, instead of the default 100 and 30] - -6b) It is possible to multiply the window function W(z) by a selection function - 'dNdz' (number of objects per redshift interval). Type the name of the file - containing the redshift in the first column and the number of objects in - the second column (do not call it 'analytic*'). Set to 'analytic' to use - instead the analytic expression from arXiv:1004.4640 (this function can be - tuned in the module transfer.c, in the subroutine transfer_dNdz_analytic). - Leave blank to use a uniform distribution (default). - +# 2.b) It is possible to multiply the window function W(z) by a selection +# function 'dNdz' (number of objects per redshift interval). Type the name +# of the file containing the redshift in the first column and the number of +# objects in the second column (do not call it 'analytic*'). Set to +# 'analytic' to use instead the analytic expression from arXiv:1004.4640 +# (this function can be tuned in the module transfer.c, in the subroutine +# transfer_dNdz_analytic). Leave blank to use a uniform distribution +# (default). dNdz_selection = -6c) It is possible to consider source number counts evolution. Type the name of - the file containing the redshift on the first column and the number of - objects on the second column (do not call it 'analytic*'). Set to - 'analytic' to use instead the analytic expression from Eq. 48 of - arXiv:1105.5292. Leave blank to use constant comoving number densities - (default). - +# 2.c) It is possible to consider source number counts evolution. Type the name +# of the file containing the redshift on the first column and the number +# of objects on the second column (do not call it 'analytic*'). Set to +# 'analytic' to use instead the analytic expression from Eq. 48 of +# arXiv:1105.5292. Leave blank to use constant comoving number densities +# (default). dNdz_evolution = -7a) file name root 'root' for all output files (if Cl requested, written to - 'cl.dat'; if P(k) requested, written to 'pk.dat'; plus similar - files for scalars, tensors, pairs of initial conditions, etc.; if file with - input parameters requested, written to 'parameters.ini') (default: - the input module sets automatically 'root' to 'output/N_', - where N is the first available integer number, starting from 00, to avoid - erasing the output of previous runs) - -#root = output/test_ - -7b) do you want headers at the beginning of each output file (giving precisions - on the output units/ format) ? If 'headers' set to something containing the - letter 'y' or 'Y', headers written, otherwise not written - (default: written) - -headers = yes - -7c) in all output files, do you want columns to be normalized and ordered with - the default CLASS definitions or with the CAMB definitions (often idential - to the CMBFAST one) ? Set 'format' to either 'class', 'CLASS', 'camb' or - 'CAMB' (default: 'class') - -format = class - -7d) Do you want to write a table of background quantitites in a file? This will - include H, densities, Omegas, various cosmological distances, sound - horizon, etc., as a function of conformal time, proper time, scale factor. - File created if 'write background' set to something containing the letter - 'y' or 'Y', file written, otherwise not written (default: not written) - -write background = no - -7e) Do you want to write a table of thermodynamics quantitites in a file? File - is created if 'write thermodynamics' is set to something containing the - letter 'y' or 'Y'. (default: not written) -write thermodynamics = no - -7f) Do you want to write a table of perturbations to files for certain - wavenumbers k? Dimension of k is 1/Mpc. The actual wave numbers are chosen - such that they are as close as possible to the requested k-values. +# 3) Power spectrum P(k) +# 3.a) Maximum k in P(k), 'P_k_max_h/Mpc' in units of h/Mpc or 'P_k_max_1/Mpc' +# inunits of 1/Mpc. If scalar Cls are also requested, a minimum value is +# automatically imposed (the same as in scalar Cls computation) (default: +# set to 1 1/Mpc) +P_k_max_h/Mpc = 1. +#P_k_max_1/Mpc = 0.7 -k_output_values = #0.01, 0.1, 0.0001 +# 3.a.1) If you want to use a different value for k_max in the primordial and +# perturbations structures, specify +# 'primordial_P_k_max_h/Mpc' in units of h/Mpc or +# 'primordial_P_k_max_1/Mpc' in units of 1/Mpc +# to define the maximum value of k for primordial power spectrum. By doing +# so, 'P_k_max_h/Mpc' will only apply to perturbations. If unspecified, +# 'primordial_P_k_max_h/Mpc' is assumed to be the same as 'P_k_max_h/Mpc'. +#primordial_P_k_max_h/Mpc = +#primordial_P_k_max_1/Mpc = + +# 3.b) Value(s) 'z_pk' of redshift(s) for P(k,z) output file(s); can be ordered +# arbitrarily, but must be separated by comas (default: set 'z_pk' to 0) +z_pk = 0 +#z_pk = 0., 1.2, 3.5 -7g) Do you want to write the primordial scalar(/tensor) spectrum in a file, - with columns k [1/Mpc], P_s(k) [dimensionless], ( P_t(k) [dimensionless])? - File created if 'write primordial' set to something containing the letter - 'y' or 'Y', file written, otherwise not written (default: not written) +# 3.c) If the code is interfaced with routines that need to interpolate P(k,z) at +# various values of (k,z), enter 'z_max_pk', the maximum value of z at +# which such interpolations are needed. (default: set to maximum value in +# above 'z_pk' input) +#z_max_pk = 10. -write primordial = no -7h) Do you want to have all input/precision parameters which have been read - written in file 'parameters.ini', and those not written in file - 'unused_parameters' ? If 'write parameters' set to something - containing the letter 'y' or 'Y', file written, otherwise not written - (default: not written) -write parameters = yeap +# ---------------------------------- +# ----> Lensing parameters: +# ---------------------------------- -7i) Do you want a warning written in the standard output when an input - parameter or value could not be interpreted ? If 'write warnings' set to - something containing the letter 'y' or 'Y', warnings written, otherwise not - written (default: not written) +# 1) Relevant only if you ask for 'tCl, lCl' and/or 'pCl, lCl': if you want the +# spectrum of lensed Cls. Can be anything starting with 'y' or 'n'. +# (default: no lensed Cls) +lensing = yes -write warnings = ----------------------------------------------------- -----> amount of information sent to standard output: ----------------------------------------------------- +# 2) Should the lensing potential [phi+psi](k,tau) and the lensing spectrum Cl_phiphi be rescaled? +# You can rescale [phi+psi](k,tau) at all times by an overall amplitude and tilt: lcmb_rescale*(k/lcmb_pivot)**lcmb_tilt +# Or, more simply, you can pass the usual parameter 'A_l', and the potential will be rescaled by sqrt(A_L) +# (matches standard definition in Calabrese et al. 0803.2309) +# (default: no rescaling: A_L=lcmb_rescale=1) +A_L = +#lcmb_rescale = 1 +#lcmb_tilt = 0 +#lcmb_pivot = 0.1 + +# In general, do we want to use the full Limber scheme introduced in +# v3.2.2? With this full Limber scheme, the calculation of the CMB +# lensing potential spectrum C_l^phiphi for l > ppr->l_switch_limber +# is based on a new integration scheme. Compared to the previous +# scheme, which can be recovered by setting this parameter to 'no', +# the new scheme uses a larger k_max and a coarser k-grid (or q-grid) +# than the CMB transfer function. The new scheme is used by default, +# because the old one is inaccurate at large l due to the too small +# k_max. Set to anything starting with the letter 'y' or +# 'n'. (default: 'yes') +want_lcmb_full_limber = yes + +# ------------------------------------- +# ----> Distortions parameters: +# ------------------------------------- + +# 1) Which kind of appriximation would you like to use for the calculation of the +# branching ratios? +# To use approximation 1) 'branching approx'=sharp_sharp +# To use approximation 2) 'branching approx'=sharp_soft +# To use approximation 3) 'branching approx'=soft_soft +# To use approximation 4) 'branching approx'=soft_soft_cons +# To use approximation 5) 'branching approx'=exact +# +# Approximation 3) violates energy conservation in the plasma, and is discouraged. +# Please be aware, that the total energy injected will NOT include the residual distortion energy. +# (default set to 'exact') +sd_branching_approx = exact + +# 1.a) If the branching ratios are = exact, the user can specify additional parameters. For any other +# branching ratio approximation, all of the following parameters are going to be ignored. +# 1.a.1) How many multipoles do you want to use for the residuals in the case of the PCA +# analysis? The value can vary between 0 and 6. (default set to 2) +sd_PCA_size = 2 + +# 1.a.2) If PCA size is different from 0, you need to specify the chosen detector, by defining +# setting "sd_detector_name" and defining any of 1.a.3.x). +# In external/distortions, the file detectors_list.dat contains a list +# of currently "known" detectors, i.e. detectors for which the PCA decomposition +# has already been computed. If no detector name is specified, but the detector specifics +# 1.a.3.x) are, the name will be created automatically. If no name and no specifics are +# given, PIXIE values are going to be assumed. +# +# For instance, in the case of "sd_detector_name=PIXIE", the values are fixed respectively to 30 GHz, +# 1005 GHz, 15 GHz and 5 10^-26 W/(m^2 Hz sr), and all spectral shapes and branching ratios are +# already precumputed. +# +# It would be very helpful if, once computed the vectors for a new detector, the user would +# send us the files containing spectral shapes and branching ratios (see e.g. +# external/distortions for templates). +sd_detector_name = PIXIE + +# 1.a.3) Provide the specifics of the detector (frequencies and sensitivities) +# Either define a path to a full noise file or enter the specifics here +# 1.a.3.1) Give a path to the full noise file containing +# - the frequency array in GHz and +# - the detector noise in 10^-26 W/(m^2 Hz sr) for each frequency +# Please supply the path relative to external/distortions +#sd_detector_file = FIRAS_nu_delta_I.dat + +# 1.a.3.2) If you did not supply the full noise file, you need to set +# - the minumum frequency in GHz +# - the maximum frequency in GHz +# - the bin width in GHz or alternatively the number of bins +# - the detector noise in 10^-26 W/(m^2 Hz sr) +# of the chosen detector. +#sd_detector_nu_min = 30. +#sd_detector_nu_max = 1000. +#sd_detector_nu_delta = 15. +#sd_detector_bin_number = 65 +#sd_detector_delta_Ic = 5. + + +# 2) Only calculate non-LCDM contributions to heating? +# Sometimes, for comparison, one might want to disable all LCDM contributions to SDs. +# Can be set to anything starting with 'y' or 'n' (default: no) +sd_only_exotic = no + + +# 3) Include g distortions? +# Can be set to anything starting with 'y' or 'n' (default: no) +sd_include_g_distortion = no + + +# 4) If you want to manually add a y and/or a mu parameter on top of the calculated values, specify +# 'sd_add_y' or 'sd_add_mu' or both (default set to 0 for both) +sd_add_y = 0. +sd_add_mu = 0. + + +# 5) Include SZ effect from reionization? Can be set to anything starting with 'y' or 'n' +# (default: no) +include_SZ_effect = no + +# 5.a) Specify the type of approximation you want to use for the SZ effect +# - by setting 'sd_reio_type' to 'Nozawa_2005', the approximation by Nozawa et al. 2005 is employed. +# - by setting 'sd_reio_type' to 'Chluba_2012', the approximation by Chluba et al. 2012 is employed. +# Note that, for the moment, this appoximation is only valid for cluster temperatures lower +# than few KeV. +# (default set to 'Chluba_2012') +#sd_reio_type = Chluba_2012 + + + +# ---------------------------------- +# ----> Output parameters: +# ---------------------------------- + +# 1) Output for external files +# 1.a) File name root 'root' for all output files (if Cl requested, written to +# '_cl.dat'; if P(k) requested, written to '_pk.dat'; plus +# similar files for scalars, tensors, pairs of initial conditions, etc.; +# if file with input parameters requested, written to +# '_parameters.ini') +# If no root is specified, the root will be set to 'output/' +# (default: output/) +#root = output/test + +# 1.a.1) If root is specified, do you want to keep overwriting the file, +# or do you want to create files numbered as 'N_'. +# Can be set to anything starting with 'y' or 'n' (default: no) +overwrite_root = no + +# 1.b) Do you want headers at the beginning of each output file (giving +# precisions on the output units/ format) ? Can be set to anything +# starting with 'y' or 'n' (default: yes) +headers = yes -Increase integer values to make each module more talkative (default: all set to 0) +# 1.c) In all output files, do you want columns to be normalized and ordered +# with the default CLASS definitions or with the CAMB definitions (often +# idential to the CMBFAST one) ? Set 'format' to either 'class', 'CLASS', +# 'camb' or 'CAMB' (default: 'class') +format = class +# 1.d) Do you want to write a table of background quantitites in a file? This +# will include H, densities, Omegas, various cosmological distances, sound +# horizon, etc., as a function of conformal time, proper time, scale +# factor. Can be set to anything starting with 'y' or 'no' (default: no) +write_background = no + +# 1.e) Do you want to write a table of thermodynamics quantitites in a file? +# Can be set to anything starting with 'y' or 'n'. (default: no) +write_thermodynamics = no + +# 1.f) Do you want to write a table of perturbations to files for certain +# wavenumbers k? Dimension of k is 1/Mpc. The actual wave numbers are +# chosen such that they are as close as possible to the requested k-values. (default: none) +#k_output_values = 0.01, 0.1, 0.0001 + +# 1.g) Do you want to write the primordial scalar(/tensor) spectrum in a file, +# with columns k [1/Mpc], P_s(k) [dimensionless], ( P_t(k) +# [dimensionless])? Can be set to anything starting with 'y' or 'n'. (default: no) +write_primordial = no + +# 1.h) Do you want to write the exotic energy injection function in a file, +# with columns z [dimensionless], dE/dz_inj, dE/dz_dep [J/(m^3 s)]? +# 1.i) Do you want to write also the non-injected photon heating? +# File created if 'write_exotic_injection' or +# 'write_noninjection' set to something containing the letter +# 'y' or 'Y', file written, otherwise not written (default: no) +write_exotic_injection = no +#write_noninjection = no + +# 1.k) Do you want to write the spectral distortions in a file, +# with columns x [dimensionless], DI(x) [dimensionless]? +# File created if 'write_distortions' set to something containing the letter +# 'y' or 'Y', file written, otherwise not written (default: no) +write_distortions = no + +# 1.l) Do you want to have all input/precision parameters which have been read +# written in file 'parameters.ini', and those not written in file +# 'unused_parameters' ? Can be set to anything starting with 'y' +# or 'n'. (default: yes) +write_parameters = yes + +# 1.m) Do you want a warning written in the standard output when an input +# parameter or value could not be interpreted ? Can be set to anything starting +# with 'y' or 'n' (default: no) +write_warnings = no + +# 2) Amount of information sent to standard output: Increase integer values +# to make each module more talkative (default: all set to 0) input_verbose = 1 background_verbose = 1 thermodynamics_verbose = 1 perturbations_verbose = 1 transfer_verbose = 1 primordial_verbose = 1 -spectra_verbose = 1 -nonlinear_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 lensing_verbose = 1 +distortions_verbose = 1 output_verbose = 1 diff --git a/external/HyRec2020/Alpha_inf.dat b/external/HyRec2020/Alpha_inf.dat new file mode 100644 index 00000000..75b551fa --- /dev/null +++ b/external/HyRec2020/Alpha_inf.dat @@ -0,0 +1,4000 @@ + 6.0915545e-12 5.5735114e-11 5.2959333e-13 2.0138398e-12 + 5.4363309e-12 4.7677140e-11 5.9242998e-13 2.3398518e-12 + 4.9520194e-12 4.1925958e-11 6.4965637e-13 2.6470852e-12 + 4.5754201e-12 3.7588861e-11 7.0256561e-13 2.9393956e-12 + 4.2718516e-12 3.4186367e-11 7.5202031e-13 3.2194565e-12 + 4.0204787e-12 3.1436457e-11 7.9863024e-13 3.4892167e-12 + 3.8079302e-12 2.9161701e-11 8.4284518e-13 3.7501509e-12 + 3.6251808e-12 2.7244566e-11 8.8500790e-13 4.0034074e-12 + 3.4658896e-12 2.5603878e-11 9.2538656e-13 4.2499016e-12 + 3.3254542e-12 2.4181682e-11 9.6419559e-13 4.4903774e-12 + 3.2004429e-12 2.2935428e-11 1.0016096e-12 4.7254494e-12 + 3.0882372e-12 2.1833107e-11 1.0377731e-12 4.9556323e-12 + 2.9868004e-12 2.0850160e-11 1.0728072e-12 5.1813626e-12 + 2.8945211e-12 1.9967416e-11 1.1068147e-12 5.4030145e-12 + 2.8101057e-12 1.9169664e-11 1.1398839e-12 5.6209114e-12 + 2.7325022e-12 1.8444685e-11 1.1720908e-12 5.8353354e-12 + 2.6608452e-12 1.7782520e-11 1.2035020e-12 6.0465341e-12 + 2.5944154e-12 1.7174995e-11 1.2341759e-12 6.2547264e-12 + 2.5326095e-12 1.6615326e-11 1.2641640e-12 6.4601071e-12 + 2.4749172e-12 1.6097812e-11 1.2935122e-12 6.6628500e-12 + 2.4209036e-12 1.5617655e-11 1.3222613e-12 6.8631115e-12 + 2.3701952e-12 1.5170759e-11 1.3504481e-12 7.0610324e-12 + 2.3224698e-12 1.4753633e-11 1.3781057e-12 7.2567404e-12 + 2.2774470e-12 1.4363249e-11 1.4052641e-12 7.4503517e-12 + 2.2348823e-12 1.3997002e-11 1.4319505e-12 7.6419722e-12 + 2.1945607e-12 1.3652613e-11 1.4581899e-12 7.8316989e-12 + 2.1562926e-12 1.3328083e-11 1.4840048e-12 8.0196210e-12 + 2.1199104e-12 1.3021664e-11 1.5094163e-12 8.2058206e-12 + 2.0852645e-12 1.2731804e-11 1.5344435e-12 8.3903734e-12 + 2.0522218e-12 1.2457129e-11 1.5591041e-12 8.5733498e-12 + 2.0206627e-12 1.2196419e-11 1.5834145e-12 8.7548147e-12 + 1.9904798e-12 1.1948582e-11 1.6073901e-12 8.9348290e-12 + 1.9615764e-12 1.1712638e-11 1.6310448e-12 9.1134490e-12 + 1.9338648e-12 1.1487708e-11 1.6543920e-12 9.2907276e-12 + 1.9072656e-12 1.1272996e-11 1.6774439e-12 9.4667141e-12 + 1.8817066e-12 1.1067788e-11 1.7002120e-12 9.6414550e-12 + 1.8571219e-12 1.0871435e-11 1.7227071e-12 9.8149936e-12 + 1.8334514e-12 1.0683342e-11 1.7449393e-12 9.9873708e-12 + 1.8106399e-12 1.0502974e-11 1.7669182e-12 1.0158625e-11 + 1.7886370e-12 1.0329839e-11 1.7886526e-12 1.0328793e-11 + 5.9611031e-12 5.4202236e-11 5.1649374e-13 1.9477780e-12 + 5.3193387e-12 4.6363395e-11 5.7790750e-13 2.2639271e-12 + 4.8449393e-12 4.0767469e-11 6.3384116e-13 2.5619397e-12 + 4.4760502e-12 3.6547009e-11 6.8555786e-13 2.8455349e-12 + 4.1787080e-12 3.3235847e-11 7.3390005e-13 3.1172925e-12 + 3.9325031e-12 3.0559705e-11 7.7946320e-13 3.3790932e-12 + 3.7243361e-12 2.8345971e-11 8.2268657e-13 3.6323607e-12 + 3.5453644e-12 2.6480297e-11 8.6390505e-13 3.8782043e-12 + 3.3893754e-12 2.4883679e-11 9.0338068e-13 4.1175084e-12 + 3.2518594e-12 2.3499732e-11 9.4132300e-13 4.3509918e-12 + 3.1294537e-12 2.2287024e-11 9.7790264e-13 4.5792486e-12 + 3.0195926e-12 2.1214420e-11 1.0132607e-12 4.8027762e-12 + 2.9202802e-12 2.0258002e-11 1.0475157e-12 5.0219965e-12 + 2.8299378e-12 1.9399116e-11 1.0807678e-12 5.2372712e-12 + 2.7472978e-12 1.8622950e-11 1.1131033e-12 5.4489129e-12 + 2.6713296e-12 1.7917608e-11 1.1445965e-12 5.6571943e-12 + 2.6011852e-12 1.7273411e-11 1.1753125e-12 5.8623547e-12 + 2.5361602e-12 1.6682393e-11 1.2053081e-12 6.0646060e-12 + 2.4756635e-12 1.6137941e-11 1.2346338e-12 6.2641362e-12 + 2.4191952e-12 1.5634517e-11 1.2633344e-12 6.4611136e-12 + 2.3663293e-12 1.5167450e-11 1.2914498e-12 6.6556894e-12 + 2.3167000e-12 1.4732759e-11 1.3190158e-12 6.8479998e-12 + 2.2699916e-12 1.4327029e-11 1.3460650e-12 7.0381685e-12 + 2.2259296e-12 1.3947327e-11 1.3726265e-12 7.2263076e-12 + 2.1842744e-12 1.3591112e-11 1.3987270e-12 7.4125197e-12 + 2.1448154e-12 1.3256165e-11 1.4243908e-12 7.5968987e-12 + 2.1073672e-12 1.2940544e-11 1.4496401e-12 7.7795307e-12 + 2.0717651e-12 1.2642544e-11 1.4744952e-12 7.9604952e-12 + 2.0378630e-12 1.2360658e-11 1.4989749e-12 8.1398655e-12 + 2.0055304e-12 1.2093547e-11 1.5230966e-12 8.3177094e-12 + 1.9746502e-12 1.1840022e-11 1.5468763e-12 8.4940902e-12 + 1.9451172e-12 1.1599022e-11 1.5703288e-12 8.6690662e-12 + 1.9168367e-12 1.1369591e-11 1.5934679e-12 8.8426924e-12 + 1.8897229e-12 1.1150878e-11 1.6163066e-12 9.0150196e-12 + 1.8636979e-12 1.0942105e-11 1.6388568e-12 9.1860956e-12 + 1.8386911e-12 1.0742579e-11 1.6611298e-12 9.3559653e-12 + 1.8146380e-12 1.0551667e-11 1.6831361e-12 9.5246708e-12 + 1.7914797e-12 1.0368791e-11 1.7048856e-12 9.6922515e-12 + 1.7691622e-12 1.0193430e-11 1.7263876e-12 9.8587448e-12 + 1.7476361e-12 1.0025106e-11 1.7476508e-12 1.0024186e-11 + 5.8337663e-12 5.2714403e-11 5.0369391e-13 1.8837309e-12 + 5.2051141e-12 4.5087571e-11 5.6371721e-13 2.1902992e-12 + 4.7403792e-12 3.9642049e-11 6.1838759e-13 2.4793530e-12 + 4.3790108e-12 3.5534684e-11 6.6893894e-13 2.7544799e-12 + 4.0877431e-12 3.2312148e-11 7.1619409e-13 3.0181685e-12 + 3.8465812e-12 2.9707614e-11 7.6073449e-13 3.2722338e-12 + 3.6426904e-12 2.7553138e-11 8.0298913e-13 3.5180502e-12 + 3.4674063e-12 2.5737442e-11 8.4328514e-13 3.7566887e-12 + 3.3146408e-12 2.4183649e-11 8.8187855e-13 3.9890039e-12 + 3.1799750e-12 2.2836866e-11 9.1897412e-13 4.2156902e-12 + 3.0601133e-12 2.1656772e-11 9.5473857e-13 4.4373216e-12 + 2.9525412e-12 2.0613043e-11 9.8930982e-13 4.6543792e-12 + 2.8553031e-12 1.9682418e-11 1.0228035e-12 4.8672704e-12 + 2.7668517e-12 1.8846723e-11 1.0553177e-12 5.0763449e-12 + 2.6859451e-12 1.8091546e-11 1.0869365e-12 5.2819049e-12 + 2.6115735e-12 1.7405302e-11 1.1177325e-12 5.4842138e-12 + 2.5429062e-12 1.6778573e-11 1.1477693e-12 5.6835031e-12 + 2.4792529e-12 1.6203597e-11 1.1771024e-12 5.8799774e-12 + 2.4200346e-12 1.5673949e-11 1.2057811e-12 6.0738188e-12 + 2.3647616e-12 1.5184230e-11 1.2338491e-12 6.2651899e-12 + 2.3130164e-12 1.4729896e-11 1.2613454e-12 6.4542368e-12 + 2.2644410e-12 1.4307064e-11 1.2883052e-12 6.6410914e-12 + 2.2187258e-12 1.3912419e-11 1.3147600e-12 6.8258732e-12 + 2.1756022e-12 1.3543108e-11 1.3407384e-12 7.0086907e-12 + 2.1348352e-12 1.3196647e-11 1.3662666e-12 7.1896431e-12 + 2.0962187e-12 1.2870883e-11 1.3913682e-12 7.3688212e-12 + 2.0595710e-12 1.2563926e-11 1.4160648e-12 7.5463084e-12 + 2.0247309e-12 1.2274115e-11 1.4403765e-12 7.7221815e-12 + 1.9915552e-12 1.1999982e-11 1.4643215e-12 7.8965114e-12 + 1.9599161e-12 1.1740227e-11 1.4879167e-12 8.0693638e-12 + 1.9296989e-12 1.1493692e-11 1.5111779e-12 8.2407996e-12 + 1.9008006e-12 1.1259339e-11 1.5341195e-12 8.4108756e-12 + 1.8731284e-12 1.1036245e-11 1.5567550e-12 8.5796447e-12 + 1.8465983e-12 1.0823579e-11 1.5790970e-12 8.7471561e-12 + 1.8211342e-12 1.0620583e-11 1.6011572e-12 8.9134562e-12 + 1.7966667e-12 1.0426585e-11 1.6229467e-12 9.0785882e-12 + 1.7731327e-12 1.0240962e-11 1.6444756e-12 9.2425928e-12 + 1.7504746e-12 1.0063160e-11 1.6657536e-12 9.4055083e-12 + 1.7286395e-12 9.8926682e-12 1.6867898e-12 9.5673708e-12 + 1.7075790e-12 9.7290216e-12 1.7075927e-12 9.7282142e-12 + 5.7094677e-12 5.1269844e-11 4.9118705e-13 1.8216406e-12 + 5.0935910e-12 4.3848280e-11 5.4985153e-13 2.1189021e-12 + 4.6382796e-12 3.8548559e-11 6.0328742e-13 2.3992522e-12 + 4.2842469e-12 3.4550902e-11 6.5269999e-13 2.6661506e-12 + 3.9989058e-12 3.1414397e-11 6.9889293e-13 2.9219982e-12 + 3.7626650e-12 2.8879386e-11 7.4243405e-13 3.1685461e-12 + 3.5629477e-12 2.6782481e-11 7.8374226e-13 3.4071208e-12 + 3.3912631e-12 2.5015349e-11 8.2313706e-13 3.6387564e-12 + 3.2416447e-12 2.3503169e-11 8.6086859e-13 3.8642782e-12 + 3.1097615e-12 2.2192508e-11 8.9713691e-13 4.0843573e-12 + 2.9923834e-12 2.1044114e-11 9.3210494e-13 4.2995482e-12 + 2.8870462e-12 2.0028468e-11 9.6590746e-13 4.5103156e-12 + 2.7918331e-12 1.9122914e-11 9.9865743e-13 4.7170537e-12 + 2.7052281e-12 1.8309768e-11 1.0304506e-12 4.9201000e-12 + 2.6260140e-12 1.7575001e-11 1.0613692e-12 5.1197468e-12 + 2.5532013e-12 1.6907326e-11 1.0914842e-12 5.3162486e-12 + 2.4859762e-12 1.6297583e-11 1.1208575e-12 5.5098292e-12 + 2.4236623e-12 1.5738214e-11 1.1495435e-12 5.7006864e-12 + 2.3656924e-12 1.5222965e-11 1.1775901e-12 5.8889961e-12 + 2.3115866e-12 1.4746572e-11 1.2050402e-12 6.0749155e-12 + 2.2609360e-12 1.4304618e-11 1.2319319e-12 6.2585860e-12 + 2.2133897e-12 1.3893323e-11 1.2582994e-12 6.4401350e-12 + 2.1686445e-12 1.3509462e-11 1.2841737e-12 6.6196781e-12 + 2.1264372e-12 1.3150253e-11 1.3095826e-12 6.7973203e-12 + 2.0865377e-12 1.2813282e-11 1.3345517e-12 6.9731576e-12 + 2.0487440e-12 1.2496450e-11 1.3591040e-12 7.1472777e-12 + 2.0128781e-12 1.2197921e-11 1.3832609e-12 7.3197612e-12 + 1.9787821e-12 1.1916074e-11 1.4070417e-12 7.4906825e-12 + 1.9463158e-12 1.1649481e-11 1.4304644e-12 7.6601101e-12 + 1.9153539e-12 1.1396882e-11 1.4535454e-12 7.8281077e-12 + 1.8857841e-12 1.1157141e-11 1.4763001e-12 7.9947340e-12 + 1.8575057e-12 1.0929257e-11 1.4987426e-12 8.1600440e-12 + 1.8304276e-12 1.0712328e-11 1.5208862e-12 8.3240889e-12 + 1.8044676e-12 1.0505540e-11 1.5427431e-12 8.4869163e-12 + 1.7795511e-12 1.0308162e-11 1.5643247e-12 8.6485709e-12 + 1.7556102e-12 1.0119538e-11 1.5856418e-12 8.8090947e-12 + 1.7325833e-12 9.9390626e-12 1.6067044e-12 8.9685270e-12 + 1.7104137e-12 9.7661964e-12 1.6275219e-12 9.1269048e-12 + 1.6890497e-12 9.6004385e-12 1.6481032e-12 9.2842630e-12 + 1.6684440e-12 9.4413416e-12 1.6684566e-12 9.4406344e-12 + 5.5881331e-12 4.9866943e-11 4.7896649e-13 1.7614506e-12 + 4.9847048e-12 4.2644207e-11 5.3630306e-13 2.0496720e-12 + 4.5385822e-12 3.7485894e-11 5.8853260e-13 2.3215663e-12 + 4.1917050e-12 3.3594730e-11 6.3683234e-13 2.5804695e-12 + 3.9121460e-12 3.0541731e-11 6.8198732e-13 2.8286975e-12 + 3.6807075e-12 2.8074277e-11 7.2455205e-13 3.0679399e-12 + 3.4850638e-12 2.6033300e-11 7.6493559e-13 3.2994766e-12 + 3.3168929e-12 2.4313371e-11 8.0344996e-13 3.5243059e-12 + 3.1703468e-12 2.2841646e-11 8.4033947e-13 3.7432246e-12 + 3.0411800e-12 2.1566104e-11 8.7579961e-13 3.9568810e-12 + 2.9262267e-12 2.0448531e-11 9.0998959e-13 4.1658110e-12 + 2.8230713e-12 1.9460187e-11 9.4304107e-13 4.3704634e-12 + 2.7298354e-12 1.8579015e-11 9.7506445e-13 4.5712193e-12 + 2.6450329e-12 1.7787799e-11 1.0061533e-12 4.7684048e-12 + 2.5674713e-12 1.7072875e-11 1.0363879e-12 4.9623022e-12 + 2.4961808e-12 1.6423271e-11 1.0658375e-12 5.1531577e-12 + 2.4303640e-12 1.5830042e-11 1.0945626e-12 5.3411875e-12 + 2.3693580e-12 1.5285853e-11 1.1226164e-12 5.5265827e-12 + 2.3126071e-12 1.4784603e-11 1.1500457e-12 5.7095134e-12 + 2.2596412e-12 1.4321181e-11 1.1768922e-12 5.8901316e-12 + 2.2100595e-12 1.3891266e-11 1.2031933e-12 6.0685738e-12 + 2.1635182e-12 1.3491195e-11 1.2289823e-12 6.2449633e-12 + 2.1197203e-12 1.3117822e-11 1.2542895e-12 6.4194119e-12 + 2.0784079e-12 1.2768438e-11 1.2791421e-12 6.5920211e-12 + 2.0393555e-12 1.2440697e-11 1.3035651e-12 6.7628837e-12 + 2.0023653e-12 1.2132556e-11 1.3275810e-12 6.9320845e-12 + 1.9672629e-12 1.1842222e-11 1.3512106e-12 7.0997016e-12 + 1.9338936e-12 1.1568121e-11 1.3744728e-12 7.2658068e-12 + 1.9021200e-12 1.1308866e-11 1.3973853e-12 7.4304664e-12 + 1.8718194e-12 1.1063223e-11 1.4199640e-12 7.5937419e-12 + 1.8428820e-12 1.0830095e-11 1.4422240e-12 7.7556904e-12 + 1.8152088e-12 1.0608503e-11 1.4641790e-12 7.9163647e-12 + 1.7887109e-12 1.0397567e-11 1.4858421e-12 8.0758145e-12 + 1.7633076e-12 1.0196498e-11 1.5072251e-12 8.2340858e-12 + 1.7389259e-12 1.0004586e-11 1.5283392e-12 8.3912219e-12 + 1.7154994e-12 9.8211873e-12 1.5491950e-12 8.5472633e-12 + 1.6929676e-12 9.6457206e-12 1.5698021e-12 8.7022480e-12 + 1.6712751e-12 9.4776529e-12 1.5901699e-12 8.8562119e-12 + 1.6503712e-12 9.3165004e-12 1.6103069e-12 9.0091887e-12 + 1.6302096e-12 9.1618278e-12 1.6302212e-12 9.1612101e-12 + 5.4696901e-12 4.8504135e-11 4.6702574e-13 1.7031063e-12 + 4.8783926e-12 4.1474166e-11 5.2306457e-13 1.9825467e-12 + 4.4412301e-12 3.6453024e-11 5.7411526e-13 2.2462264e-12 + 4.1013325e-12 3.2665240e-11 6.2132753e-13 2.4973612e-12 + 3.8274152e-12 2.9693381e-11 6.6546823e-13 2.7381851e-12 + 3.6006631e-12 2.7291565e-11 7.0707891e-13 2.9703279e-12 + 3.4089954e-12 2.5304952e-11 7.4655901e-13 3.1950246e-12 + 3.2442545e-12 2.3630907e-11 7.8421321e-13 3.4132386e-12 + 3.1007075e-12 2.2198517e-11 8.2028013e-13 3.6257393e-12 + 2.9741927e-12 2.0957116e-11 8.5495074e-13 3.8331526e-12 + 2.8616065e-12 1.9869514e-11 8.8838059e-13 4.0359963e-12 + 2.7605813e-12 1.8907720e-11 9.2069835e-13 4.2347040e-12 + 2.6692756e-12 1.8050267e-11 9.5201186e-13 4.4296439e-12 + 2.5862331e-12 1.7280380e-11 9.8241259e-13 4.6211312e-12 + 2.5102849e-12 1.6584764e-11 1.0119789e-12 4.8094387e-12 + 2.4404807e-12 1.5952722e-11 1.0407785e-12 4.9948042e-12 + 2.3760390e-12 1.5375568e-11 1.0688705e-12 5.1774367e-12 + 2.3163102e-12 1.4846144e-11 1.0963066e-12 5.3575208e-12 + 2.2607498e-12 1.4358512e-11 1.1231328e-12 5.5352209e-12 + 2.2088969e-12 1.3907698e-11 1.1493898e-12 5.7106840e-12 + 2.1603591e-12 1.3489499e-11 1.1751139e-12 5.8840420e-12 + 2.1147993e-12 1.3100346e-11 1.2003379e-12 6.0554141e-12 + 2.0719265e-12 1.2737176e-11 1.2250912e-12 6.2249082e-12 + 2.0314880e-12 1.2397348e-11 1.2494005e-12 6.3926227e-12 + 1.9932629e-12 1.2078587e-11 1.2732900e-12 6.5586472e-12 + 1.9570573e-12 1.1778897e-11 1.2967819e-12 6.7230637e-12 + 1.9227004e-12 1.1496536e-11 1.3198965e-12 6.8859477e-12 + 1.8900408e-12 1.1229973e-11 1.3426522e-12 7.0473687e-12 + 1.8589437e-12 1.0977853e-11 1.3650663e-12 7.2073908e-12 + 1.8292890e-12 1.0738981e-11 1.3871544e-12 7.3660735e-12 + 1.8009689e-12 1.0512282e-11 1.4089311e-12 7.5234718e-12 + 1.7738869e-12 1.0296809e-11 1.4304100e-12 7.6796371e-12 + 1.7479555e-12 1.0091704e-11 1.4516037e-12 7.8346173e-12 + 1.7230959e-12 9.8961988e-12 1.4725238e-12 7.9884568e-12 + 1.6992365e-12 9.7096041e-12 1.4931813e-12 8.1411976e-12 + 1.6763123e-12 9.5312899e-12 1.5135864e-12 8.2928788e-12 + 1.6542640e-12 9.3606907e-12 1.5337487e-12 8.4435373e-12 + 1.6330374e-12 9.1972914e-12 1.5536771e-12 8.5932075e-12 + 1.6125830e-12 9.0406210e-12 1.5733802e-12 8.7419222e-12 + 1.5928552e-12 8.8902533e-12 1.5928657e-12 8.8897120e-12 + 5.3540682e-12 4.7180015e-11 4.5535847e-13 1.6465543e-12 + 4.7745928e-12 4.0336974e-11 5.1012899e-13 1.9174658e-12 + 4.3461675e-12 3.5448988e-11 5.6002770e-13 2.1731652e-12 + 4.0130783e-12 3.1761614e-11 6.0617729e-13 2.4167524e-12 + 3.7446655e-12 2.8868576e-11 6.4932683e-13 2.6503816e-12 + 3.5224871e-12 2.6530549e-11 6.9000526e-13 2.8756251e-12 + 3.3347003e-12 2.4596791e-11 7.2860264e-13 3.0936743e-12 + 3.1733075e-12 2.2967361e-11 7.6541646e-13 3.3054588e-12 + 3.0326884e-12 2.1573215e-11 8.0067976e-13 3.5117213e-12 + 2.9087626e-12 2.0365031e-11 8.3457904e-13 3.7130662e-12 + 2.7984873e-12 1.9306577e-11 8.6726630e-13 3.9099935e-12 + 2.6995416e-12 1.8370612e-11 8.9886725e-13 4.1029221e-12 + 2.6101204e-12 1.7536224e-11 9.2948726e-13 4.2922078e-12 + 2.5287962e-12 1.6787084e-11 9.5921571e-13 4.4781550e-12 + 2.4544234e-12 1.6110244e-11 9.8812914e-13 4.6610275e-12 + 2.3860705e-12 1.5495298e-11 1.0162937e-12 4.8410550e-12 + 2.3229715e-12 1.4933776e-11 1.0437671e-12 5.0184393e-12 + 2.2644900e-12 1.4418713e-11 1.0706000e-12 5.1933591e-12 + 2.2100920e-12 1.3944333e-11 1.0968371e-12 5.3659730e-12 + 2.1593262e-12 1.3505787e-11 1.1225181e-12 5.5364230e-12 + 2.1118077e-12 1.3098986e-11 1.1476787e-12 5.7048368e-12 + 2.0672063e-12 1.2720454e-11 1.1723507e-12 5.8713295e-12 + 2.0252369e-12 1.2367207e-11 1.1965630e-12 6.0360055e-12 + 1.9856518e-12 1.2036683e-11 1.2203415e-12 6.1989597e-12 + 1.9482345e-12 1.1726656e-11 1.2437100e-12 6.3602789e-12 + 1.9127952e-12 1.1435187e-11 1.2666902e-12 6.5200423e-12 + 1.8791664e-12 1.1160583e-11 1.2893016e-12 6.6783229e-12 + 1.8471996e-12 1.0901350e-11 1.3115626e-12 6.8351880e-12 + 1.8167631e-12 1.0656172e-11 1.3334899e-12 6.9906994e-12 + 1.7877391e-12 1.0423884e-11 1.3550987e-12 7.1449148e-12 + 1.7600221e-12 1.0203443e-11 1.3764034e-12 7.2978873e-12 + 1.7335172e-12 9.9939217e-12 1.3974172e-12 7.4496667e-12 + 1.7081391e-12 9.7944886e-12 1.4181524e-12 7.6002991e-12 + 1.6838104e-12 9.6043952e-12 1.4386204e-12 7.7498278e-12 + 1.6604612e-12 9.4229715e-12 1.4588319e-12 7.8982930e-12 + 1.6380275e-12 9.2496033e-12 1.4787968e-12 8.0457329e-12 + 1.6164515e-12 9.0837408e-12 1.4985246e-12 8.1921828e-12 + 1.5956800e-12 8.9248826e-12 1.5180239e-12 8.3376762e-12 + 1.5756645e-12 8.7725717e-12 1.5373031e-12 8.4822448e-12 + 1.5563604e-12 8.6263893e-12 1.5563698e-12 8.6259182e-12 + 5.2411989e-12 4.5893230e-11 4.4395848e-13 1.5917429e-12 + 4.6732454e-12 3.9231511e-11 4.9748943e-13 1.8543704e-12 + 4.2533403e-12 3.4472837e-11 5.4626239e-13 2.1023176e-12 + 3.9268924e-12 3.0883003e-11 5.9137353e-13 2.3385718e-12 + 3.6638506e-12 2.8066587e-11 6.3355451e-13 2.5652100e-12 + 3.4461359e-12 2.5790582e-11 6.7332198e-13 2.7837488e-12 + 3.2621371e-12 2.3908218e-11 7.1105685e-13 2.9953376e-12 + 3.1040128e-12 2.2322179e-11 7.4704960e-13 3.2008734e-12 + 2.9662518e-12 2.0965231e-11 7.8152777e-13 3.4010726e-12 + 2.8448532e-12 1.9789345e-11 8.1467353e-13 3.5965189e-12 + 2.7368340e-12 1.8759253e-11 8.4663533e-13 3.7876950e-12 + 2.6399185e-12 1.7848409e-11 8.7753600e-13 3.9750056e-12 + 2.5523372e-12 1.7036464e-11 9.0747851e-13 4.1587943e-12 + 2.4726907e-12 1.6307508e-11 9.3655018e-13 4.3393554e-12 + 2.3998560e-12 1.5648937e-11 9.6482578e-13 4.5169435e-12 + 2.3329203e-12 1.5050622e-11 9.9236997e-13 4.6917807e-12 + 2.2711325e-12 1.4504308e-11 1.0192391e-12 4.8640621e-12 + 2.2138688e-12 1.4003222e-11 1.0454826e-12 5.0339600e-12 + 2.1606061e-12 1.3541731e-11 1.0711441e-12 5.2016280e-12 + 2.1109017e-12 1.3115121e-11 1.0962626e-12 5.3672033e-12 + 2.0643786e-12 1.2719408e-11 1.1208727e-12 5.5308090e-12 + 2.0207132e-12 1.2351209e-11 1.1450056e-12 5.6925566e-12 + 1.9796259e-12 1.2007621e-11 1.1686894e-12 5.8525468e-12 + 1.9408741e-12 1.1686143e-11 1.1919495e-12 6.0108715e-12 + 1.9042457e-12 1.1384613e-11 1.2148091e-12 6.1676145e-12 + 1.8695546e-12 1.1101143e-11 1.2372893e-12 6.3228523e-12 + 1.8366368e-12 1.0834086e-11 1.2594094e-12 6.4766557e-12 + 1.8053467e-12 1.0581987e-11 1.2811872e-12 6.6290895e-12 + 1.7755553e-12 1.0343562e-11 1.3026389e-12 6.7802136e-12 + 1.7471472e-12 1.0117678e-11 1.3237796e-12 6.9300837e-12 + 1.7200190e-12 9.9033228e-12 1.3446233e-12 7.0787514e-12 + 1.6940778e-12 9.6995913e-12 1.3651828e-12 7.2262645e-12 + 1.6692400e-12 9.5056786e-12 1.3854701e-12 7.3726677e-12 + 1.6454299e-12 9.3208511e-12 1.4054965e-12 7.5180029e-12 + 1.6225788e-12 9.1444548e-12 1.4252723e-12 7.6623091e-12 + 1.6006242e-12 8.9759003e-12 1.4448073e-12 7.8056230e-12 + 1.5795095e-12 8.8146470e-12 1.4641106e-12 7.9479789e-12 + 1.5591824e-12 8.6602058e-12 1.4831908e-12 8.0894091e-12 + 1.5395956e-12 8.5121340e-12 1.5020560e-12 8.2299442e-12 + 1.5207053e-12 8.3700248e-12 1.5207136e-12 8.3696130e-12 + 5.1310153e-12 4.4642449e-11 4.3281974e-13 1.5386217e-12 + 4.5742917e-12 3.8156767e-11 4.8513916e-13 1.7932034e-12 + 4.1626952e-12 3.3523685e-11 5.3281199e-13 2.0336202e-12 + 3.8427261e-12 3.0028665e-11 5.7690836e-13 2.2627500e-12 + 3.5849253e-12 2.7286734e-11 6.1814285e-13 2.4825954e-12 + 3.3715670e-12 2.5071030e-11 6.5702013e-13 2.6946189e-12 + 3.1912657e-12 2.3238646e-11 6.9391221e-13 2.8999293e-12 + 3.0363318e-12 2.1694811e-11 7.2910273e-13 3.0993918e-12 + 2.9013607e-12 2.0374050e-11 7.6281385e-13 3.2936979e-12 + 2.7824293e-12 1.9229596e-11 7.9522346e-13 3.4834107e-12 + 2.6766124e-12 1.8227090e-11 8.2647655e-13 3.6689963e-12 + 2.5816789e-12 1.7340690e-11 8.5669311e-13 3.8508456e-12 + 2.4958940e-12 1.6550576e-11 8.8597375e-13 4.0292903e-12 + 2.4178856e-12 1.5841260e-11 9.1440377e-13 4.2046148e-12 + 2.3465529e-12 1.5200468e-11 9.4205625e-13 4.3770652e-12 + 2.2810008e-12 1.4618329e-11 9.6899435e-13 4.5468558e-12 + 2.2204934e-12 1.4086815e-11 9.9527310e-13 4.7141753e-12 + 2.1644191e-12 1.3599324e-11 1.0209408e-12 4.8791902e-12 + 2.1122648e-12 1.3150376e-11 1.0460402e-12 5.0420487e-12 + 2.0635970e-12 1.2735382e-11 1.0706091e-12 5.2028835e-12 + 2.0180459e-12 1.2350459e-11 1.0946814e-12 5.3618136e-12 + 1.9752944e-12 1.1992312e-11 1.1182876e-12 5.5189465e-12 + 1.9350686e-12 1.1658118e-11 1.1414552e-12 5.6743798e-12 + 1.8971305e-12 1.1345443e-11 1.1642089e-12 5.8282021e-12 + 1.8612724e-12 1.1052181e-11 1.1865715e-12 5.9804943e-12 + 1.8273120e-12 1.0776496e-11 1.2085634e-12 6.1313307e-12 + 1.7950883e-12 1.0516779e-11 1.2302036e-12 6.2807794e-12 + 1.7644591e-12 1.0271617e-11 1.2515093e-12 6.4289032e-12 + 1.7352976e-12 1.0039766e-11 1.2724966e-12 6.5757600e-12 + 1.7074909e-12 9.8201129e-12 1.2931801e-12 6.7214036e-12 + 1.6809377e-12 9.6116797e-12 1.3135734e-12 6.8658838e-12 + 1.6555471e-12 9.4135827e-12 1.3336892e-12 7.0092470e-12 + 1.6312370e-12 9.2250354e-12 1.3535391e-12 7.1515364e-12 + 1.6079332e-12 9.0453308e-12 1.3731341e-12 7.2927924e-12 + 1.5855686e-12 8.8738297e-12 1.3924844e-12 7.4330527e-12 + 1.5640821e-12 8.7099555e-12 1.4115994e-12 7.5723528e-12 + 1.5434178e-12 8.5531847e-12 1.4304882e-12 7.7107259e-12 + 1.5235248e-12 8.4030416e-12 1.4491590e-12 7.8482034e-12 + 1.5043567e-12 8.2590938e-12 1.4676198e-12 7.9848146e-12 + 1.4858706e-12 8.1209460e-12 1.4858778e-12 8.1205874e-12 + 5.0234523e-12 4.3426480e-11 4.2193636e-13 1.4871418e-12 + 4.4776744e-12 3.7111721e-11 4.7307160e-13 1.7339093e-12 + 4.0741806e-12 3.2600691e-11 5.1966929e-13 1.9670113e-12 + 3.7605318e-12 2.9197829e-11 5.6277403e-13 2.1892198e-12 + 3.5078451e-12 2.6528333e-11 6.0308362e-13 2.4024650e-12 + 3.2987386e-12 2.4371288e-11 6.4109102e-13 2.6081573e-12 + 3.1220465e-12 2.2587521e-11 6.7715957e-13 2.8073662e-12 + 2.9702268e-12 2.1084743e-11 7.1156622e-13 3.0009262e-12 + 2.8379792e-12 1.9799192e-11 7.4452792e-13 3.1895045e-12 + 2.7214562e-12 1.8685315e-11 7.7621833e-13 3.3736444e-12 + 2.6177893e-12 1.7709651e-11 8.0677906e-13 3.5537958e-12 + 2.5247909e-12 1.6847033e-11 8.3632731e-13 3.7303361e-12 + 2.4407597e-12 1.6078164e-11 8.6496135e-13 3.9035857e-12 + 2.3643507e-12 1.5387960e-11 8.9276454e-13 4.0738192e-12 + 2.2944846e-12 1.4764462e-11 9.1980828e-13 4.2412743e-12 + 2.2302837e-12 1.4198069e-11 9.4615426e-13 4.4061582e-12 + 2.1710266e-12 1.3680954e-11 9.7185627e-13 4.5686530e-12 + 2.1161135e-12 1.3206697e-11 9.9696149e-13 4.7289197e-12 + 2.0650417e-12 1.2769954e-11 1.0215116e-12 4.8871015e-12 + 2.0173861e-12 1.2366260e-11 1.0455436e-12 5.0433264e-12 + 1.9727841e-12 1.1991835e-11 1.0690906e-12 5.1977095e-12 + 1.9309250e-12 1.1643470e-11 1.0921824e-12 5.3503547e-12 + 1.8915404e-12 1.1318417e-11 1.1148457e-12 5.5013563e-12 + 1.8543969e-12 1.1014309e-11 1.1371049e-12 5.6507998e-12 + 1.8192910e-12 1.0729090e-11 1.1589818e-12 5.7987634e-12 + 1.7860440e-12 1.0460976e-11 1.1804968e-12 5.9453190e-12 + 1.7544983e-12 1.0208403e-11 1.2016682e-12 6.0905323e-12 + 1.7245143e-12 9.9699938e-12 1.2225130e-12 6.2344640e-12 + 1.6959680e-12 9.7445346e-12 1.2430466e-12 6.3771701e-12 + 1.6687486e-12 9.5309469e-12 1.2632835e-12 6.5187027e-12 + 1.6427570e-12 9.3282742e-12 1.2832370e-12 6.6591097e-12 + 1.6179039e-12 9.1356582e-12 1.3029193e-12 6.7984362e-12 + 1.5941092e-12 8.9523329e-12 1.3223420e-12 6.9367238e-12 + 1.5713000e-12 8.7776129e-12 1.3415157e-12 7.0740116e-12 + 1.5494106e-12 8.6108730e-12 1.3604503e-12 7.2103361e-12 + 1.5283811e-12 8.4515506e-12 1.3791552e-12 7.3457316e-12 + 1.5081568e-12 8.2991422e-12 1.3976390e-12 7.4802303e-12 + 1.4886879e-12 8.1531802e-12 1.4159100e-12 7.6138623e-12 + 1.4699287e-12 8.0132431e-12 1.4339757e-12 7.7466561e-12 + 1.4518374e-12 7.8789501e-12 1.4518435e-12 7.8786386e-12 + 4.9184462e-12 4.2244164e-11 4.1130256e-13 1.4372557e-12 + 4.3833377e-12 3.6095463e-11 4.6128033e-13 1.6764342e-12 + 3.9877458e-12 3.1703048e-11 5.0682730e-13 1.9024309e-12 + 3.6802630e-12 2.8389795e-11 5.4896300e-13 2.1179155e-12 + 3.4325670e-12 2.5790751e-11 5.8836878e-13 2.3247479e-12 + 3.2276103e-12 2.3690768e-11 6.2552614e-13 2.5242882e-12 + 3.0544409e-12 2.1954303e-11 6.6078994e-13 2.7175676e-12 + 2.9056610e-12 2.0491476e-11 6.9443067e-13 2.9053911e-12 + 2.7760719e-12 1.9240183e-11 7.2666013e-13 3.0884024e-12 + 2.6619000e-12 1.8156056e-11 7.5764790e-13 3.2671255e-12 + 2.5603321e-12 1.7206514e-11 7.8753224e-13 3.4419947e-12 + 2.4692228e-12 1.6367043e-11 8.1642760e-13 3.6133743e-12 + 2.3869040e-12 1.5618850e-11 8.4442998e-13 3.7815735e-12 + 2.3120567e-12 1.4947241e-11 8.7162081e-13 3.9468576e-12 + 2.2436226e-12 1.4340577e-11 8.9806985e-13 4.1094561e-12 + 2.1807411e-12 1.3789504e-11 9.2383739e-13 4.2695692e-12 + 2.1227047e-12 1.3286403e-11 9.4897596e-13 4.4273729e-12 + 2.0689256e-12 1.2825022e-11 9.7353165e-13 4.5830225e-12 + 2.0189109e-12 1.2400155e-11 9.9754517e-13 4.7366566e-12 + 1.9722435e-12 1.2007456e-11 1.0210527e-12 4.8883987e-12 + 1.9285683e-12 1.1643247e-11 1.0440866e-12 5.0383600e-12 + 1.8875807e-12 1.1304402e-11 1.0666758e-12 5.1866410e-12 + 1.8490173e-12 1.0988245e-11 1.0888465e-12 5.3333325e-12 + 1.8126497e-12 1.0692471e-11 1.1106225e-12 5.4785174e-12 + 1.7782784e-12 1.0415080e-11 1.1320252e-12 5.6222712e-12 + 1.7457280e-12 1.0154335e-11 1.1530744e-12 5.7646632e-12 + 1.7148443e-12 9.9087122e-12 1.1737879e-12 5.9057571e-12 + 1.6854904e-12 9.6768714e-12 1.1941823e-12 6.0456114e-12 + 1.6575449e-12 9.4576316e-12 1.2142729e-12 6.1842803e-12 + 1.6308991e-12 9.2499428e-12 1.2340736e-12 6.3218140e-12 + 1.6054558e-12 9.0528750e-12 1.2535975e-12 6.4582591e-12 + 1.5811279e-12 8.8655914e-12 1.2728565e-12 6.5936589e-12 + 1.5578365e-12 8.6873501e-12 1.2918619e-12 6.7280538e-12 + 1.5355104e-12 8.5174772e-12 1.3106240e-12 6.8614815e-12 + 1.5140851e-12 8.3553687e-12 1.3291527e-12 6.9939773e-12 + 1.4935019e-12 8.2004794e-12 1.3474569e-12 7.1255743e-12 + 1.4737073e-12 8.0523127e-12 1.3655452e-12 7.2563037e-12 + 1.4546526e-12 7.9104169e-12 1.3834256e-12 7.3861946e-12 + 1.4362928e-12 7.7743865e-12 1.4011056e-12 7.5152746e-12 + 1.4185871e-12 7.6438415e-12 1.4185921e-12 7.6435697e-12 + 4.8159352e-12 4.1094417e-11 4.0091272e-13 1.3889171e-12 + 4.2912270e-12 3.5107059e-11 4.4975910e-13 1.6207254e-12 + 3.9033415e-12 3.0829985e-11 4.9427915e-13 1.8398208e-12 + 3.6018744e-12 2.7603891e-11 5.3546788e-13 2.0487734e-12 + 3.3590487e-12 2.5073377e-11 5.7399047e-13 2.2493754e-12 + 3.1581423e-12 2.3028908e-11 6.1031716e-13 2.4429377e-12 + 2.9884112e-12 2.1338477e-11 6.4479458e-13 2.6304550e-12 + 2.8425986e-12 1.9914526e-11 6.7768688e-13 2.8127035e-12 + 2.7156045e-12 1.8696569e-11 7.0920089e-13 2.9903040e-12 + 2.6037276e-12 1.7641396e-11 7.3950216e-13 3.1637623e-12 + 2.5042088e-12 1.6717275e-11 7.6872569e-13 3.3334971e-12 + 2.4149440e-12 1.5900330e-11 7.9698322e-13 3.4998600e-12 + 2.3342971e-12 1.5172254e-11 8.2436853e-13 3.6631496e-12 + 2.2609747e-12 1.4518747e-11 8.5096115e-13 3.8236220e-12 + 2.1939388e-12 1.3928467e-11 8.7682923e-13 3.9814988e-12 + 2.1323456e-12 1.3392304e-11 9.0203168e-13 4.1369734e-12 + 2.0755013e-12 1.2902842e-11 9.2661981e-13 4.2902158e-12 + 2.0228295e-12 1.2453988e-11 9.5063865e-13 4.4413760e-12 + 1.9738468e-12 1.2040681e-11 9.7412799e-13 4.5905879e-12 + 1.9281444e-12 1.1658684e-11 9.9712315e-13 4.7379707e-12 + 1.8853743e-12 1.1304415e-11 1.0196557e-12 4.8836320e-12 + 1.8452375e-12 1.0974835e-11 1.0417540e-12 5.0276687e-12 + 1.8074761e-12 1.0667334e-11 1.0634436e-12 5.1701687e-12 + 1.7718661e-12 1.0379670e-11 1.0847475e-12 5.3112119e-12 + 1.7382120e-12 1.0109896e-11 1.1056870e-12 5.4508713e-12 + 1.7063419e-12 9.8563204e-12 1.1262811e-12 5.5892139e-12 + 1.6761047e-12 9.6174613e-12 1.1465474e-12 5.7263011e-12 + 1.6473662e-12 9.3920124e-12 1.1665020e-12 5.8621895e-12 + 1.6200072e-12 9.1788219e-12 1.1861598e-12 5.9969316e-12 + 1.5939216e-12 8.9768757e-12 1.2055345e-12 6.1305757e-12 + 1.5690140e-12 8.7852598e-12 1.2246387e-12 6.2631669e-12 + 1.5451989e-12 8.6031681e-12 1.2434843e-12 6.3947471e-12 + 1.5223990e-12 8.4298691e-12 1.2620821e-12 6.5253553e-12 + 1.5005447e-12 8.2647149e-12 1.2804423e-12 6.6550279e-12 + 1.4795727e-12 8.1071125e-12 1.2985744e-12 6.7837992e-12 + 1.4594255e-12 7.9565343e-12 1.3164873e-12 6.9117010e-12 + 1.4400507e-12 7.8124950e-12 1.3341894e-12 7.0387634e-12 + 1.4214004e-12 7.6745571e-12 1.3516883e-12 7.1650148e-12 + 1.4034308e-12 7.5423232e-12 1.3689914e-12 7.2904817e-12 + 1.3861018e-12 7.4154265e-12 1.3861057e-12 7.4151892e-12 + 4.7158589e-12 3.9976210e-11 3.9076134e-13 1.3420811e-12 + 4.2012889e-12 3.4145664e-11 4.3850180e-13 1.5667321e-12 + 3.8209197e-12 2.9980753e-11 4.8201815e-13 1.7791242e-12 + 3.5253220e-12 2.6839454e-11 5.2228145e-13 1.9817316e-12 + 3.2872491e-12 2.4375622e-11 5.5994099e-13 2.1762805e-12 + 3.0902957e-12 2.2385182e-11 5.9545597e-13 2.3640343e-12 + 2.9239206e-12 2.0739538e-11 6.2916494e-13 2.5459521e-12 + 2.7810042e-12 1.9353421e-11 6.6132590e-13 2.7227826e-12 + 2.6565432e-12 1.8167912e-11 6.9214083e-13 2.8951244e-12 + 2.5469069e-12 1.7140923e-11 7.2177135e-13 3.0634654e-12 + 2.4493886e-12 1.6241540e-11 7.5034926e-13 3.2282094e-12 + 2.3619245e-12 1.5446521e-11 7.7798368e-13 3.3896959e-12 + 2.2829101e-12 1.4738032e-11 8.0476617e-13 3.5482128e-12 + 2.2110766e-12 1.4102139e-11 8.3077440e-13 3.7040075e-12 + 2.1454059e-12 1.3527804e-11 8.5607494e-13 3.8572939e-12 + 2.0850707e-12 1.3006151e-11 8.8072534e-13 4.0082587e-12 + 2.0293903e-12 1.2529965e-11 9.0477574e-13 4.1570661e-12 + 1.9777997e-12 1.2093306e-11 9.2827013e-13 4.3038611e-12 + 1.9298247e-12 1.1691247e-11 9.5124738e-13 4.4487728e-12 + 1.8850646e-12 1.1319664e-11 9.7374199e-13 4.5919166e-12 + 1.8431781e-12 1.0975070e-11 9.9578480e-13 4.7333963e-12 + 1.8038721e-12 1.0654503e-11 1.0174035e-12 4.8733055e-12 + 1.7668938e-12 1.0355425e-11 1.0386230e-12 5.0117291e-12 + 1.7320237e-12 1.0075654e-11 1.0594659e-12 5.1487442e-12 + 1.6990698e-12 9.8132913e-12 1.0799528e-12 5.2844215e-12 + 1.6678641e-12 9.5666940e-12 1.1001024e-12 5.4188256e-12 + 1.6382582e-12 9.3344129e-12 1.1199319e-12 5.5520158e-12 + 1.6101206e-12 9.1151843e-12 1.1394569e-12 5.6840469e-12 + 1.5833346e-12 8.9078855e-12 1.1586920e-12 5.8149694e-12 + 1.5577961e-12 8.7115240e-12 1.1776506e-12 5.9448302e-12 + 1.5334116e-12 8.5252151e-12 1.1963450e-12 6.0736727e-12 + 1.5100972e-12 8.3481714e-12 1.2147867e-12 6.2015374e-12 + 1.4877775e-12 8.1796829e-12 1.2329864e-12 6.3284620e-12 + 1.4663840e-12 8.0191174e-12 1.2509541e-12 6.4544818e-12 + 1.4458547e-12 7.8659017e-12 1.2686989e-12 6.5796298e-12 + 1.4261333e-12 7.7195149e-12 1.2862296e-12 6.7039368e-12 + 1.4071685e-12 7.5794926e-12 1.3035544e-12 6.8274320e-12 + 1.3889133e-12 7.4454065e-12 1.3206807e-12 6.9501426e-12 + 1.3713248e-12 7.3168650e-12 1.3376158e-12 7.0720943e-12 + 1.3543636e-12 7.1935200e-12 1.3543664e-12 7.1933115e-12 + 4.6181582e-12 3.8888556e-11 3.8084304e-13 1.2967039e-12 + 4.1134716e-12 3.3210474e-11 4.2750246e-13 1.5144046e-12 + 3.7404334e-12 2.9154662e-11 4.7003778e-13 1.7202862e-12 + 3.4505624e-12 2.6095850e-11 5.0939666e-13 1.9167298e-12 + 3.2171278e-12 2.3696918e-11 5.4621283e-13 2.1053980e-12 + 3.0240325e-12 2.1759054e-11 5.8093461e-13 2.2875082e-12 + 2.8609330e-12 2.0157010e-11 6.1389266e-13 2.4639848e-12 + 2.7208435e-12 1.8807717e-11 6.4533897e-13 2.6355500e-12 + 2.5988552e-12 1.7653791e-11 6.7547079e-13 2.8027809e-12 + 2.4914061e-12 1.6654232e-11 7.0444593e-13 2.9661481e-12 + 2.3958409e-12 1.5778933e-11 7.3239306e-13 3.1260412e-12 + 2.3101351e-12 1.5005259e-11 7.5941871e-13 3.2827875e-12 + 2.2327145e-12 1.4315826e-11 7.8561228e-13 3.4366649e-12 + 2.1623348e-12 1.3697081e-11 8.1104961e-13 3.5879122e-12 + 2.0979972e-12 1.3138267e-11 8.3579573e-13 3.7367358e-12 + 2.0388902e-12 1.2630740e-11 8.5990685e-13 3.8833160e-12 + 1.9843464e-12 1.2167470e-11 8.8343195e-13 4.0278114e-12 + 1.9338113e-12 1.1742680e-11 9.0641401e-13 4.1703619e-12 + 1.8868203e-12 1.1351570e-11 9.2889099e-13 4.3110923e-12 + 1.8429803e-12 1.0990122e-11 9.5089660e-13 4.4501140e-12 + 1.8019565e-12 1.0654944e-11 9.7246098e-13 4.5875272e-12 + 1.7634617e-12 1.0343149e-11 9.9361115e-13 4.7234225e-12 + 1.7272481e-12 1.0052269e-11 1.0143715e-12 4.8578816e-12 + 1.6931004e-12 9.7801761e-12 1.0347640e-12 4.9909794e-12 + 1.6608305e-12 9.5250284e-12 1.0548088e-12 5.1227838e-12 + 1.6302735e-12 9.2852207e-12 1.0745242e-12 5.2533573e-12 + 1.6012840e-12 9.0593432e-12 1.0939270e-12 5.3827572e-12 + 1.5737333e-12 8.8461672e-12 1.1130324e-12 5.5110364e-12 + 1.5475069e-12 8.6445978e-12 1.1318546e-12 5.6382437e-12 + 1.5225027e-12 8.4536713e-12 1.1504067e-12 5.7644244e-12 + 1.4986291e-12 8.2725260e-12 1.1687008e-12 5.8896205e-12 + 1.4758039e-12 8.1003936e-12 1.1867481e-12 6.0138711e-12 + 1.4539531e-12 7.9365877e-12 1.2045590e-12 6.1372125e-12 + 1.4330096e-12 7.7804879e-12 1.2221433e-12 6.2596789e-12 + 1.4129128e-12 7.6315390e-12 1.2395099e-12 6.3813022e-12 + 1.3936073e-12 7.4892340e-12 1.2566673e-12 6.5021121e-12 + 1.3750429e-12 7.3531178e-12 1.2736235e-12 6.6221368e-12 + 1.3571735e-12 7.2227777e-12 1.2903859e-12 6.7414027e-12 + 1.3399572e-12 7.0978324e-12 1.3069616e-12 6.8599346e-12 + 1.3233553e-12 6.9779390e-12 1.3233570e-12 6.9777561e-12 + 4.5227757e-12 3.7830464e-11 3.7115255e-13 1.2527431e-12 + 4.0277243e-12 3.2300684e-11 4.1675524e-13 1.4636948e-12 + 3.6618368e-12 2.8351022e-11 4.5833166e-13 1.6632530e-12 + 3.3775536e-12 2.5372501e-11 4.9680664e-13 1.8537095e-12 + 3.1486455e-12 2.3036714e-11 5.3279864e-13 2.0366647e-12 + 2.9593155e-12 2.1150033e-11 5.6674531e-13 2.2132915e-12 + 2.7994131e-12 1.9590424e-11 5.9896957e-13 2.3844810e-12 + 2.6620830e-12 1.8276983e-11 6.2971754e-13 2.5509293e-12 + 2.5425085e-12 1.7153799e-11 6.5918184e-13 2.7131931e-12 + 2.4371946e-12 1.6180942e-11 6.8751659e-13 2.8717261e-12 + 2.3435362e-12 1.5329089e-11 7.1484741e-13 3.0269041e-12 + 2.2595470e-12 1.4576187e-11 7.4127829e-13 3.1790428e-12 + 2.1836827e-12 1.3905310e-11 7.6689651e-13 3.3284103e-12 + 2.1147224e-12 1.3303255e-11 7.9177613e-13 3.4752369e-12 + 2.0516864e-12 1.2759548e-11 8.1598064e-13 3.6197219e-12 + 1.9937787e-12 1.2265767e-11 8.3956495e-13 3.7620393e-12 + 1.9403445e-12 1.1815074e-11 8.6257688e-13 3.9023421e-12 + 1.8908401e-12 1.1401835e-11 8.8505845e-13 4.0407657e-12 + 1.8448098e-12 1.1021380e-11 9.0704672e-13 4.1774303e-12 + 1.8018681e-12 1.0669797e-11 9.2857464e-13 4.3124437e-12 + 1.7616868e-12 1.0343781e-11 9.4967163e-13 4.4459026e-12 + 1.7239842e-12 1.0040527e-11 9.7036409e-13 4.5778944e-12 + 1.6885172e-12 9.7576239e-12 9.9067583e-13 4.7084982e-12 + 1.6550749e-12 9.4930065e-12 1.0106284e-12 4.8377860e-12 + 1.6234729e-12 9.2448767e-12 1.0302414e-12 4.9658237e-12 + 1.5935495e-12 9.0116743e-12 1.0495326e-12 5.0926716e-12 + 1.5651621e-12 8.7920294e-12 1.0685185e-12 5.2183850e-12 + 1.5381845e-12 8.5847435e-12 1.0872140e-12 5.3430150e-12 + 1.5125046e-12 8.3887506e-12 1.1056329e-12 5.4666087e-12 + 1.4880222e-12 8.2031111e-12 1.1237881e-12 5.5892098e-12 + 1.4646475e-12 8.0269914e-12 1.1416912e-12 5.7108589e-12 + 1.4423001e-12 7.8596405e-12 1.1593532e-12 5.8315939e-12 + 1.4209073e-12 7.7003878e-12 1.1767844e-12 5.9514497e-12 + 1.4004034e-12 7.5486333e-12 1.1939941e-12 6.0704595e-12 + 1.3807289e-12 7.4038350e-12 1.2109913e-12 6.1886538e-12 + 1.3618296e-12 7.2654996e-12 1.2277842e-12 6.3060618e-12 + 1.3436563e-12 7.1331868e-12 1.2443805e-12 6.4227103e-12 + 1.3261638e-12 7.0064903e-12 1.2607875e-12 6.5386250e-12 + 1.3093109e-12 6.8850422e-12 1.2770121e-12 6.6538298e-12 + 1.2930599e-12 6.7685078e-12 1.2930606e-12 6.7683475e-12 + 4.4296553e-12 3.6801091e-11 3.6168475e-13 1.2101573e-12 + 3.9439977e-12 3.1415564e-11 4.0625446e-13 1.4145556e-12 + 3.5850853e-12 2.7569190e-11 4.4689358e-13 1.6079728e-12 + 3.3062545e-12 2.4668805e-11 4.8450466e-13 1.7926136e-12 + 3.0817637e-12 2.2394497e-11 5.1969123e-13 1.9700189e-12 + 2.8961085e-12 2.0557630e-11 5.5288048e-13 2.1413183e-12 + 2.7393265e-12 1.9039339e-11 5.8438769e-13 2.3073704e-12 + 2.6046898e-12 1.7760799e-11 6.1445324e-13 2.4688464e-12 + 2.4874716e-12 1.6667542e-11 6.4326526e-13 2.6262829e-12 + 2.3842423e-12 1.5720682e-11 6.7097426e-13 2.7801175e-12 + 2.2924456e-12 1.4891650e-11 6.9770288e-13 2.9307125e-12 + 2.2101324e-12 1.4158969e-11 7.2355265e-13 3.0783725e-12 + 2.1357876e-12 1.3506155e-11 7.4860876e-13 3.2233560e-12 + 2.0682132e-12 1.2920348e-11 7.7294353e-13 3.3658852e-12 + 2.0064480e-12 1.2391344e-11 7.9661894e-13 3.5061523e-12 + 1.9497111e-12 1.1910949e-11 8.1968860e-13 3.6443254e-12 + 1.8973604e-12 1.1472493e-11 8.4219924e-13 3.7805521e-12 + 1.8488624e-12 1.1070499e-11 8.6419188e-13 3.9149630e-12 + 1.8037701e-12 1.0700416e-11 8.8570274e-13 4.0476744e-12 + 1.7617055e-12 1.0358434e-11 9.0676400e-13 4.1787901e-12 + 1.7223467e-12 1.0041336e-11 9.2740440e-13 4.3084037e-12 + 1.6854176e-12 9.7463886e-12 9.4764974e-13 4.4365995e-12 + 1.6506798e-12 9.4712509e-12 9.6752327e-13 4.5634539e-12 + 1.6179264e-12 9.2139089e-12 9.8704602e-13 4.6890365e-12 + 1.5869766e-12 8.9726098e-12 1.0062371e-12 4.8134109e-12 + 1.5576719e-12 8.7458365e-12 1.0251140e-12 4.9366353e-12 + 1.5298725e-12 8.5322580e-12 1.0436927e-12 5.0587631e-12 + 1.5034547e-12 8.3307015e-12 1.0619878e-12 5.1798436e-12 + 1.4783085e-12 8.1401351e-12 1.0800128e-12 5.2999225e-12 + 1.4543357e-12 7.9596454e-12 1.0977801e-12 5.4190418e-12 + 1.4314484e-12 7.7884113e-12 1.1153013e-12 5.5372408e-12 + 1.4095676e-12 7.6257124e-12 1.1325871e-12 5.6545559e-12 + 1.3886221e-12 7.4708912e-12 1.1496473e-12 5.7710211e-12 + 1.3685475e-12 7.3233661e-12 1.1664913e-12 5.8866683e-12 + 1.3492854e-12 7.1826054e-12 1.1831277e-12 6.0015271e-12 + 1.3307829e-12 7.0481343e-12 1.1995645e-12 6.1156254e-12 + 1.3129915e-12 6.9195195e-12 1.2158093e-12 6.2289895e-12 + 1.2958671e-12 6.7963685e-12 1.2318692e-12 6.3416439e-12 + 1.2793693e-12 6.6783233e-12 1.2477508e-12 6.4536119e-12 + 1.2634609e-12 6.5650564e-12 1.2634606e-12 6.5649154e-12 + 4.3387422e-12 3.5799540e-11 3.5243461e-13 1.1689063e-12 + 3.8622435e-12 3.0554369e-11 3.9599454e-13 1.3669417e-12 + 3.5101353e-12 2.6808529e-11 4.3571746e-13 1.5543948e-12 + 3.2366246e-12 2.3984203e-11 4.7248416e-13 1.7333870e-12 + 3.0164446e-12 2.1769748e-11 5.0688360e-13 1.9054009e-12 + 2.8343759e-12 1.9981384e-11 5.3933268e-13 2.0715245e-12 + 2.6806395e-12 1.8503320e-11 5.7013920e-13 2.2325850e-12 + 2.5486318e-12 1.7258751e-11 5.9953791e-13 2.3892291e-12 + 2.4337139e-12 1.6194634e-11 6.2771254e-13 2.5419743e-12 + 2.3325197e-12 1.5273087e-11 6.5481007e-13 2.6912425e-12 + 2.2425407e-12 1.4466273e-11 6.8095026e-13 2.8373831e-12 + 2.1618639e-12 1.3753278e-11 7.0623223e-13 2.9806897e-12 + 2.0890026e-12 1.3118049e-11 7.3073916e-13 3.1214117e-12 + 2.0227812e-12 1.2548059e-11 7.5454162e-13 3.2597634e-12 + 1.9622569e-12 1.2033369e-11 7.7770013e-13 3.3959302e-12 + 1.9066632e-12 1.1565999e-11 8.0026704e-13 3.5300742e-12 + 1.8553702e-12 1.1139458e-11 8.2228798e-13 3.6623379e-12 + 1.8078548e-12 1.0748407e-11 8.4380300e-13 3.7928474e-12 + 1.7636784e-12 1.0388420e-11 8.6484749e-13 3.9217149e-12 + 1.7224702e-12 1.0055782e-11 8.8545288e-13 4.0490407e-12 + 1.6839147e-12 9.7473642e-12 9.0564726e-13 4.1749150e-12 + 1.6477409e-12 9.4605047e-12 9.2545580e-13 4.2994194e-12 + 1.6137151e-12 9.1929259e-12 9.4490123e-13 4.4226276e-12 + 1.5816344e-12 8.9426592e-12 9.6400411e-13 4.5446069e-12 + 1.5513215e-12 8.7080095e-12 9.8278310e-13 4.6654185e-12 + 1.5226211e-12 8.4874945e-12 1.0012553e-12 4.7851187e-12 + 1.4953960e-12 8.2798163e-12 1.0194362e-12 4.9037591e-12 + 1.4695249e-12 8.0838384e-12 1.0373401e-12 5.0213873e-12 + 1.4449000e-12 7.8985542e-12 1.0549803e-12 5.1380473e-12 + 1.4214249e-12 7.7230709e-12 1.0723688e-12 5.2537799e-12 + 1.3990136e-12 7.5565954e-12 1.0895170e-12 5.3686229e-12 + 1.3775885e-12 7.3984217e-12 1.1064352e-12 5.4826115e-12 + 1.3570798e-12 7.2479135e-12 1.1231331e-12 5.5957785e-12 + 1.3374245e-12 7.1045005e-12 1.1396198e-12 5.7081546e-12 + 1.3185653e-12 6.9676706e-12 1.1559038e-12 5.8197686e-12 + 1.3004502e-12 6.8369582e-12 1.1719928e-12 5.9306473e-12 + 1.2830318e-12 6.7119423e-12 1.1878943e-12 6.0408161e-12 + 1.2662669e-12 6.5922407e-12 1.2036152e-12 6.1502987e-12 + 1.2501158e-12 6.4775054e-12 1.2191620e-12 6.2591176e-12 + 1.2345421e-12 6.3674195e-12 1.2345408e-12 6.3672940e-12 + 4.2499830e-12 3.4824998e-11 3.4339722e-13 1.1289512e-12 + 3.7824147e-12 2.9716428e-11 3.8597004e-13 1.3208086e-12 + 3.4369443e-12 2.6068445e-11 4.2479737e-13 1.5024700e-12 + 3.1686248e-12 2.3318167e-11 4.6073875e-13 1.6759756e-12 + 2.9526516e-12 2.1161986e-11 4.9436890e-13 1.8427525e-12 + 2.7740830e-12 1.9420850e-11 5.2609466e-13 2.0038478e-12 + 2.6233192e-12 1.7981940e-11 5.5621648e-13 2.1600583e-12 + 2.4938779e-12 1.6770453e-11 5.8496355e-13 2.3120072e-12 + 2.3812056e-12 1.5734709e-11 6.1251533e-13 2.4601935e-12 + 2.2819983e-12 1.4837802e-11 6.3901534e-13 2.6050237e-12 + 2.1937937e-12 1.4052622e-11 6.6458055e-13 2.7468349e-12 + 2.1147147e-12 1.3358794e-11 6.8930773e-13 2.8859100e-12 + 2.0433017e-12 1.2740686e-11 7.1327807e-13 3.0224896e-12 + 1.9784015e-12 1.2186091e-11 7.3656046e-13 3.1567803e-12 + 1.9190885e-12 1.1685339e-11 7.5921398e-13 3.2889610e-12 + 1.8646109e-12 1.1230649e-11 7.8128975e-13 3.4191881e-12 + 1.8143508e-12 1.0815704e-11 8.0283229e-13 3.5475989e-12 + 1.7677947e-12 1.0435309e-11 8.2388075e-13 3.6743152e-12 + 1.7245125e-12 1.0085144e-11 8.4446965e-13 3.7994452e-12 + 1.6841407e-12 9.7616039e-12 8.6462973e-13 3.9230859e-12 + 1.6463695e-12 9.4616352e-12 8.8438838e-13 4.0453243e-12 + 1.6109333e-12 9.1826483e-12 9.0377024e-13 4.1662390e-12 + 1.5776028e-12 8.9224218e-12 9.2279747e-13 4.2859014e-12 + 1.5461791e-12 8.6790463e-12 9.4149017e-13 4.4043763e-12 + 1.5164883e-12 8.4508662e-12 9.5986658e-13 4.5217230e-12 + 1.4883779e-12 8.2364410e-12 9.7794333e-13 4.6379957e-12 + 1.4617137e-12 8.0345074e-12 9.9573566e-13 4.7532442e-12 + 1.4363765e-12 7.8439564e-12 1.0132575e-12 4.8675146e-12 + 1.4122606e-12 7.6638091e-12 1.0305218e-12 4.9808494e-12 + 1.3892717e-12 7.4932006e-12 1.0475403e-12 5.0932877e-12 + 1.3673252e-12 7.3313544e-12 1.0643240e-12 5.2048663e-12 + 1.3463452e-12 7.1775846e-12 1.0808832e-12 5.3156190e-12 + 1.3262632e-12 7.0312718e-12 1.0972273e-12 5.4255777e-12 + 1.3070174e-12 6.8918631e-12 1.1133650e-12 5.5347718e-12 + 1.2885516e-12 6.7588566e-12 1.1293047e-12 5.6432292e-12 + 1.2708149e-12 6.6318005e-12 1.1450541e-12 5.7509758e-12 + 1.2537609e-12 6.5102865e-12 1.1606202e-12 5.8580361e-12 + 1.2373470e-12 6.3939413e-12 1.1760100e-12 5.9644331e-12 + 1.2215345e-12 6.2824274e-12 1.1912297e-12 6.0701883e-12 + 1.2062877e-12 6.1754337e-12 1.2062854e-12 6.1753224e-12 + 4.1633258e-12 3.3876697e-11 3.3456779e-13 1.0902538e-12 + 3.7044655e-12 2.8901062e-11 3.7617566e-13 1.2761133e-12 + 3.3654706e-12 2.5348345e-11 4.1412753e-13 1.4521504e-12 + 3.1022165e-12 2.2670168e-11 4.4926217e-13 1.6203273e-12 + 2.8903485e-12 2.0570725e-11 4.8214044e-13 1.7820170e-12 + 2.7151960e-12 1.8875573e-11 5.1315932e-13 1.9382274e-12 + 2.5673336e-12 1.7474800e-11 5.4261204e-13 2.0897258e-12 + 2.4403975e-12 1.6295527e-11 5.7072236e-13 2.2371126e-12 + 2.3299173e-12 1.5287412e-11 5.9766549e-13 2.3808686e-12 + 2.2326498e-12 1.4414493e-11 6.2358163e-13 2.5213858e-12 + 2.1461778e-12 1.3650378e-11 6.4858498e-13 2.6589891e-12 + 2.0686585e-12 1.2975210e-11 6.7277005e-13 2.7939513e-12 + 1.9986597e-12 1.2373769e-11 6.9621608e-13 2.9265044e-12 + 1.9350492e-12 1.1834165e-11 7.1899034e-13 3.0568475e-12 + 1.8769189e-12 1.1346978e-11 7.4115050e-13 3.1851533e-12 + 1.8235311e-12 1.0904634e-11 7.6274644e-13 3.3115724e-12 + 1.7742793e-12 1.0500978e-11 7.8382164e-13 3.4362374e-12 + 1.7286599e-12 1.0130952e-11 8.0441431e-13 3.5592658e-12 + 1.6862510e-12 9.7903514e-12 8.2455817e-13 3.6807619e-12 + 1.6466957e-12 9.4756648e-12 8.4428322e-13 3.8008194e-12 + 1.6096904e-12 9.1839201e-12 8.6361625e-13 3.9195223e-12 + 1.5749745e-12 8.9125928e-12 8.8258128e-13 4.0369464e-12 + 1.5423230e-12 8.6595254e-12 9.0119999e-13 4.1531607e-12 + 1.5115409e-12 8.4228566e-12 9.1949200e-13 4.2682277e-12 + 1.4824576e-12 8.2009734e-12 9.3747513e-13 4.3822046e-12 + 1.4549236e-12 7.9924734e-12 9.5516562e-13 4.4951438e-12 + 1.4288071e-12 7.7961283e-12 9.7257835e-13 4.6070935e-12 + 1.4039914e-12 7.6108606e-12 9.8972696e-13 4.7180980e-12 + 1.3803727e-12 7.4357155e-12 1.0066240e-12 4.8281983e-12 + 1.3578586e-12 7.2698477e-12 1.0232810e-12 4.9374325e-12 + 1.3363660e-12 7.1125073e-12 1.0397088e-12 5.0458358e-12 + 1.3158207e-12 6.9630227e-12 1.0559173e-12 5.1534409e-12 + 1.2961554e-12 6.8207936e-12 1.0719157e-12 5.2602786e-12 + 1.2773094e-12 6.6852796e-12 1.0877126e-12 5.3663774e-12 + 1.2592279e-12 6.5559929e-12 1.1033161e-12 5.4717640e-12 + 1.2418608e-12 6.4324962e-12 1.1187336e-12 5.5764637e-12 + 1.2251625e-12 6.3143885e-12 1.1339723e-12 5.6805000e-12 + 1.2090915e-12 6.2013089e-12 1.1490386e-12 5.7838950e-12 + 1.1936097e-12 6.0929274e-12 1.1639389e-12 5.8866698e-12 + 1.1786822e-12 5.9889447e-12 1.1786790e-12 5.9888439e-12 + 4.0787199e-12 3.2953836e-11 3.2594165e-13 1.0527773e-12 + 3.6283513e-12 2.8107633e-11 3.6660618e-13 1.2328139e-12 + 3.2956737e-12 2.4647678e-11 4.0370225e-13 1.4033895e-12 + 3.0373621e-12 2.2039713e-11 4.3804833e-13 1.5663911e-12 + 2.8295002e-12 1.9995523e-11 4.7019171e-13 1.7231394e-12 + 2.6576816e-12 1.8345150e-11 5.0051975e-13 1.8746044e-12 + 2.5126513e-12 1.6981515e-11 5.2931861e-13 2.0215248e-12 + 2.3881607e-12 1.5833604e-11 5.5680669e-13 2.1644788e-12 + 2.2798207e-12 1.4852386e-11 5.8315507e-13 2.3039298e-12 + 2.1844469e-12 1.4002832e-11 6.0850065e-13 2.4402555e-12 + 2.0996663e-12 1.3259225e-11 6.3295497e-13 2.5737691e-12 + 2.0236698e-12 1.2602229e-11 6.5661030e-13 2.7047338e-12 + 1.9550516e-12 1.2017013e-11 6.7954402e-13 2.8333730e-12 + 1.8927003e-12 1.1492004e-11 7.0182181e-13 2.9598788e-12 + 1.8357247e-12 1.1018021e-11 7.2349993e-13 3.0844177e-12 + 1.7834008e-12 1.0587695e-11 7.4462708e-13 3.2071349e-12 + 1.7351335e-12 1.0195030e-11 7.6524572e-13 3.3281583e-12 + 1.6904288e-12 9.8350960e-12 7.8539312e-13 3.4476011e-12 + 1.6488725e-12 9.5038075e-12 8.0510223e-13 3.5655642e-12 + 1.6101147e-12 9.1977378e-12 8.2440232e-13 3.6821377e-12 + 1.5738573e-12 8.9139986e-12 8.4331956e-13 3.7974028e-12 + 1.5398447e-12 8.6501270e-12 8.6187742e-13 3.9114327e-12 + 1.5078565e-12 8.4040284e-12 8.8009706e-13 4.0242939e-12 + 1.4777009e-12 8.1738852e-12 8.9799765e-13 4.1360468e-12 + 1.4492109e-12 7.9581303e-12 9.1559660e-13 4.2467466e-12 + 1.4222398e-12 7.7553981e-12 9.3290976e-13 4.3564439e-12 + 1.3966582e-12 7.5644940e-12 9.4995168e-13 4.4651851e-12 + 1.3723517e-12 7.3843660e-12 9.6673566e-13 4.5730132e-12 + 1.3492186e-12 7.2140869e-12 9.8327397e-13 4.6799677e-12 + 1.3271682e-12 7.0528343e-12 9.9957793e-13 4.7860852e-12 + 1.3061190e-12 6.8998781e-12 1.0156580e-12 4.8913998e-12 + 1.2859981e-12 6.7545630e-12 1.0315239e-12 4.9959433e-12 + 1.2667398e-12 6.6163073e-12 1.0471846e-12 5.0997451e-12 + 1.2482844e-12 6.4845826e-12 1.0626486e-12 5.2028328e-12 + 1.2305781e-12 6.3589165e-12 1.0779236e-12 5.3052323e-12 + 1.2135719e-12 6.2388808e-12 1.0930171e-12 5.4069679e-12 + 1.1972211e-12 6.1240882e-12 1.1079358e-12 5.5080623e-12 + 1.1814850e-12 6.0141852e-12 1.1226863e-12 5.6085370e-12 + 1.1663262e-12 5.9088531e-12 1.1372746e-12 5.7084120e-12 + 1.1517105e-12 5.8077965e-12 1.1517064e-12 5.8077066e-12 + 3.9961156e-12 3.2055726e-11 3.1751423e-13 1.0164859e-12 + 3.5540282e-12 2.7335525e-11 3.5725652e-13 1.1908695e-12 + 3.2275137e-12 2.3965902e-11 3.9351602e-13 1.3561422e-12 + 2.9740249e-12 2.1426310e-11 4.2709127e-13 1.5141177e-12 + 2.7700724e-12 1.9435933e-11 4.5851632e-13 1.6660663e-12 + 2.6015075e-12 1.7829165e-11 4.8816918e-13 1.8129215e-12 + 2.4592416e-12 1.6501688e-11 5.1632904e-13 1.9553942e-12 + 2.3371383e-12 1.5384329e-11 5.4320907e-13 2.0940414e-12 + 2.2308876e-12 1.4429301e-11 5.6897626e-13 2.2293091e-12 + 2.1373626e-12 1.3602496e-11 5.9376431e-13 2.3615616e-12 + 2.0542333e-12 1.2878858e-11 6.1768212e-13 2.4911006e-12 + 1.9797236e-12 1.2239552e-11 6.4081981e-13 2.6181799e-12 + 1.9124531e-12 1.1670137e-11 6.6325293e-13 2.7430148e-12 + 1.8513312e-12 1.1159337e-11 6.8504559e-13 2.8657906e-12 + 1.7954829e-12 1.0698213e-11 7.0625273e-13 2.9866676e-12 + 1.7441978e-12 1.0279585e-11 7.2692187e-13 3.1057861e-12 + 1.6968919e-12 9.8976164e-12 7.4709445e-13 3.2232691e-12 + 1.6530802e-12 9.5475110e-12 7.6680686e-13 3.3392261e-12 + 1.6123565e-12 9.2252852e-12 7.8609125e-13 3.4537541e-12 + 1.5743773e-12 8.9276036e-12 8.0497622e-13 3.5669401e-12 + 1.5388504e-12 8.6516543e-12 8.2348729e-13 3.6788626e-12 + 1.5055248e-12 8.3950438e-12 8.4164740e-13 3.7895920e-12 + 1.4741841e-12 8.1557246e-12 8.5947721e-13 3.8991926e-12 + 1.4446405e-12 7.9319340e-12 8.7699544e-13 4.0077227e-12 + 1.4167299e-12 7.7221443e-12 8.9421909e-13 4.1152355e-12 + 1.3903084e-12 7.5250250e-12 9.1116366e-13 4.2217799e-12 + 1.3652493e-12 7.3394151e-12 9.2784334e-13 4.3274008e-12 + 1.3414402e-12 7.1642896e-12 9.4427113e-13 4.4321395e-12 + 1.3187813e-12 6.9987471e-12 9.6045902e-13 4.5360342e-12 + 1.2971836e-12 6.8419850e-12 9.7641805e-13 4.6391204e-12 + 1.2765675e-12 6.6932934e-12 9.9215844e-13 4.7414308e-12 + 1.2568612e-12 6.5520375e-12 1.0076897e-12 4.8429961e-12 + 1.2380002e-12 6.4176466e-12 1.0230205e-12 4.9438447e-12 + 1.2199263e-12 6.2896087e-12 1.0381593e-12 5.0440034e-12 + 1.2025865e-12 6.1674655e-12 1.0531135e-12 5.1434971e-12 + 1.1859328e-12 6.0507987e-12 1.0678904e-12 5.2423492e-12 + 1.1699214e-12 5.9392302e-12 1.0824967e-12 5.3405817e-12 + 1.1545123e-12 5.8324186e-12 1.0969386e-12 5.4382152e-12 + 1.1396690e-12 5.7300520e-12 1.1112222e-12 5.5352693e-12 + 1.1253578e-12 5.6318439e-12 1.1253528e-12 5.6317623e-12 + 3.9154649e-12 3.1181635e-11 3.0928108e-13 9.8134463e-13 + 3.4814537e-12 2.6584145e-11 3.4812172e-13 1.1502407e-12 + 3.1609519e-12 2.3302491e-11 3.8356343e-13 1.3103644e-12 + 2.9121688e-12 2.0829492e-11 4.1638516e-13 1.4634588e-12 + 2.7120313e-12 1.8891511e-11 4.4710808e-13 1.6107457e-12 + 2.5466423e-12 1.7327220e-11 4.7610101e-13 1.7531230e-12 + 2.4070747e-12 1.6034961e-11 5.0363639e-13 1.8912749e-12 + 2.2873019e-12 1.4947346e-11 5.2992220e-13 2.0257374e-12 + 2.1830908e-12 1.4017832e-11 5.5512147e-13 2.1569404e-12 + 2.0913708e-12 1.3213179e-11 5.7936470e-13 2.2852347e-12 + 2.0098535e-12 1.2508987e-11 6.0275824e-13 2.4109111e-12 + 1.9367952e-12 1.1886908e-11 6.2539010e-13 2.5342141e-12 + 1.8708405e-12 1.1332875e-11 6.4733405e-13 2.6553514e-12 + 1.8109188e-12 1.0835907e-11 6.6865268e-13 2.7745014e-12 + 1.7561712e-12 1.0387298e-11 6.8939962e-13 2.8918189e-12 + 1.7059004e-12 9.9800612e-12 7.0962125e-13 3.0074388e-12 + 1.6595331e-12 9.6085081e-12 7.2935803e-13 3.1214801e-12 + 1.6165935e-12 9.2679689e-12 7.4864546e-13 3.2340481e-12 + 1.5766828e-12 8.9545640e-12 7.6751493e-13 3.3452363e-12 + 1.5394641e-12 8.6650476e-12 7.8599435e-13 3.4551288e-12 + 1.5046504e-12 8.3966822e-12 8.0410865e-13 3.5638011e-12 + 1.4719956e-12 8.1471369e-12 8.2188021e-13 3.6713213e-12 + 1.4412875e-12 7.9144196e-12 8.3932921e-13 3.7777514e-12 + 1.4123415e-12 7.6968103e-12 8.5647393e-13 3.8831475e-12 + 1.3849967e-12 7.4928256e-12 8.7333097e-13 3.9875611e-12 + 1.3591121e-12 7.3011709e-12 8.8991548e-13 4.0910393e-12 + 1.3345632e-12 7.1207125e-12 9.0624131e-13 4.1936255e-12 + 1.3112398e-12 6.9504555e-12 9.2232115e-13 4.2953595e-12 + 1.2890440e-12 6.7895199e-12 9.3816672e-13 4.3962783e-12 + 1.2678885e-12 6.6371289e-12 9.5378880e-13 4.4964160e-12 + 1.2476952e-12 6.4925887e-12 9.6919737e-13 4.5958043e-12 + 1.2283938e-12 6.3552797e-12 9.8440169e-13 4.6944727e-12 + 1.2099210e-12 6.2246499e-12 9.9941036e-13 4.7924488e-12 + 1.1922195e-12 6.1002015e-12 1.0142314e-12 4.8897583e-12 + 1.1752377e-12 5.9814841e-12 1.0288723e-12 4.9864253e-12 + 1.1589282e-12 5.8680946e-12 1.0433399e-12 5.0824724e-12 + 1.1432483e-12 5.7596639e-12 1.0576410e-12 5.1779207e-12 + 1.1281586e-12 5.6558599e-12 1.0717815e-12 5.2727903e-12 + 1.1136234e-12 5.5563786e-12 1.0857674e-12 5.3670999e-12 + 1.0996098e-12 5.4609427e-12 1.0996039e-12 5.4608673e-12 + 3.8367208e-12 3.0330921e-11 3.0123786e-13 9.4731967e-13 + 3.4105862e-12 2.5852913e-11 3.3919694e-13 1.1108890e-12 + 3.0959503e-12 2.2656948e-11 3.7383918e-13 1.2660135e-12 + 2.8517587e-12 2.0248800e-11 4.0592433e-13 1.4143679e-12 + 2.6553442e-12 1.8361863e-11 4.3596090e-13 1.5571271e-12 + 2.4930548e-12 1.6838939e-11 4.6430880e-13 1.6951547e-12 + 2.3561213e-12 1.5580975e-11 4.9123384e-13 1.8291090e-12 + 2.2386235e-12 1.4522332e-11 5.1693895e-13 1.9595061e-12 + 2.1364036e-12 1.3617663e-11 5.4158324e-13 2.0867596e-12 + 2.0464455e-12 1.2834580e-11 5.6529408e-13 2.2112076e-12 + 1.9665021e-12 1.2149322e-11 5.8817532e-13 2.3331302e-12 + 1.8948607e-12 1.1544015e-11 6.1031289e-13 2.4527631e-12 + 1.8301906e-12 1.1004959e-11 6.3177883e-13 2.5703064e-12 + 1.7714407e-12 1.0521458e-11 6.5263425e-13 2.6859322e-12 + 1.7177678e-12 1.0085038e-11 6.7293151e-13 2.7997895e-12 + 1.6684872e-12 9.6888904e-12 6.9271588e-13 2.9120086e-12 + 1.6230365e-12 9.3274751e-12 7.1202685e-13 3.0227039e-12 + 1.5809484e-12 8.9962479e-12 7.3089907e-13 3.1319771e-12 + 1.5418317e-12 8.6914310e-12 7.4936318e-13 3.2399183e-12 + 1.5053556e-12 8.4098652e-12 7.6744641e-13 3.3466086e-12 + 1.4712385e-12 8.1488805e-12 7.8517309e-13 3.4521208e-12 + 1.4392389e-12 7.9062111e-12 8.0256509e-13 3.5565205e-12 + 1.4091484e-12 7.6799179e-12 8.1964209e-13 3.6598676e-12 + 1.3807860e-12 7.4683268e-12 8.3642195e-13 3.7622161e-12 + 1.3539939e-12 7.2699927e-12 8.5292087e-13 3.8636159e-12 + 1.3286336e-12 7.0836545e-12 8.6915365e-13 3.9641124e-12 + 1.3045829e-12 6.9082104e-12 8.8513381e-13 4.0637472e-12 + 1.2817338e-12 6.7426894e-12 9.0087377e-13 4.1625591e-12 + 1.2599903e-12 6.5862393e-12 9.1638494e-13 4.2605835e-12 + 1.2392667e-12 6.4381006e-12 9.3167787e-13 4.3578534e-12 + 1.2194864e-12 6.2975990e-12 9.4676230e-13 4.4543995e-12 + 1.2005803e-12 6.1641324e-12 9.6164728e-13 4.5502502e-12 + 1.1824866e-12 6.0371639e-12 9.7634119e-13 4.6454321e-12 + 1.1651490e-12 5.9162050e-12 9.9085187e-13 4.7399701e-12 + 1.1485166e-12 5.8008227e-12 1.0051866e-12 4.8338874e-12 + 1.1325434e-12 5.6906206e-12 1.0193522e-12 4.9272057e-12 + 1.1171872e-12 5.5852445e-12 1.0333551e-12 5.0199456e-12 + 1.1024096e-12 5.4843662e-12 1.0472013e-12 5.1121263e-12 + 1.0881754e-12 5.3876912e-12 1.0608964e-12 5.2037660e-12 + 1.0744522e-12 5.2949507e-12 1.0744456e-12 5.2948818e-12 + 3.7598372e-12 2.9502905e-11 2.9338031e-13 9.1437808e-13 + 3.3413848e-12 2.5141284e-11 3.3047743e-13 1.0727768e-12 + 3.0324716e-12 2.2028768e-11 3.6433811e-13 1.2230478e-12 + 2.7927602e-12 1.9683798e-11 3.9570320e-13 1.3667995e-12 + 2.5999791e-12 1.7846580e-11 4.2506886e-13 1.5051613e-12 + 2.4407152e-12 1.6363934e-11 4.5278627e-13 1.6389639e-12 + 2.3063528e-12 1.5139383e-11 4.7911477e-13 1.7688405e-12 + 2.1910759e-12 1.4108958e-11 5.0425236e-13 1.8952878e-12 + 2.0907998e-12 1.3228479e-11 5.2835429e-13 2.0187040e-12 + 2.0025618e-12 1.2466406e-11 5.5154489e-13 2.1394145e-12 + 1.9241547e-12 1.1799585e-11 5.7392551e-13 2.2576894e-12 + 1.8538966e-12 1.1210611e-11 5.9558007e-13 2.3737554e-12 + 1.7904807e-12 1.0686137e-11 6.1657890e-13 2.4878057e-12 + 1.7328748e-12 1.0215751e-11 6.3698168e-13 2.6000060e-12 + 1.6802512e-12 9.7911951e-12 6.5683953e-13 2.7104999e-12 + 1.6319376e-12 9.4058415e-12 6.7619664e-13 2.8194130e-12 + 1.5873819e-12 9.0542973e-12 6.9509155e-13 2.9268556e-12 + 1.5461254e-12 8.7321354e-12 7.1355809e-13 3.0329256e-12 + 1.5077841e-12 8.4356792e-12 7.3162616e-13 3.1377100e-12 + 1.4720332e-12 8.1618497e-12 7.4932232e-13 3.2412870e-12 + 1.4385963e-12 7.9080499e-12 7.6667033e-13 3.3437266e-12 + 1.4072365e-12 7.6720760e-12 7.8369152e-13 3.4450922e-12 + 1.3777492e-12 7.4520355e-12 8.0040513e-13 3.5454414e-12 + 1.3499568e-12 7.2463008e-12 8.1682856e-13 3.6448266e-12 + 1.3237043e-12 7.0534654e-12 8.3297766e-13 3.7432957e-12 + 1.2988560e-12 6.8723013e-12 8.4886685e-13 3.8408924e-12 + 1.2752918e-12 6.7017367e-12 8.6450936e-13 3.9376571e-12 + 1.2529060e-12 6.5408264e-12 8.7991729e-13 4.0336270e-12 + 1.2316042e-12 6.3887411e-12 8.9510181e-13 4.1288364e-12 + 1.2113024e-12 6.2447396e-12 9.1007321e-13 4.2233172e-12 + 1.1919253e-12 6.1081683e-12 9.2484100e-13 4.3170988e-12 + 1.1734055e-12 5.9784405e-12 9.3941402e-13 4.4102089e-12 + 1.1556819e-12 5.8550323e-12 9.5380047e-13 4.5026729e-12 + 1.1386996e-12 5.7374703e-12 9.6800798e-13 4.5945150e-12 + 1.1224087e-12 5.6253324e-12 9.8204368e-13 4.6857574e-12 + 1.1067639e-12 5.5182329e-12 9.9591424e-13 4.7764213e-12 + 1.0917240e-12 5.4158263e-12 1.0096259e-12 4.8665265e-12 + 1.0772511e-12 5.3177944e-12 1.0231845e-12 4.9560914e-12 + 1.0633108e-12 5.2238512e-12 1.0365955e-12 5.0451337e-12 + 1.0498715e-12 5.1337336e-12 1.0498642e-12 5.1336698e-12 + 3.6847695e-12 2.8696973e-11 2.8570432e-13 8.8248788e-13 + 3.2738098e-12 2.4448713e-11 3.2195857e-13 1.0358678e-12 + 2.9704796e-12 2.1417492e-11 3.5505516e-13 1.1814268e-12 + 2.7351398e-12 1.9134059e-11 3.8571636e-13 1.3207093e-12 + 2.5459046e-12 1.7345267e-11 4.1442617e-13 1.4548005e-12 + 2.3895937e-12 1.5901863e-11 4.4152726e-13 1.5844993e-12 + 2.2577412e-12 1.4709856e-11 4.6727269e-13 1.7104149e-12 + 2.1446323e-12 1.3706909e-11 4.9185563e-13 1.8330250e-12 + 2.0462538e-12 1.2849988e-11 5.1542753e-13 1.9527129e-12 + 1.9596949e-12 1.2108373e-11 5.3810972e-13 2.0697919e-12 + 1.8827876e-12 1.1459506e-11 5.6000114e-13 2.1845220e-12 + 1.8138799e-12 1.0886435e-11 5.8118370e-13 2.2971218e-12 + 1.7516885e-12 1.0376160e-11 6.0172609e-13 2.4077772e-12 + 1.6951996e-12 9.9185412e-12 6.2168656e-13 2.5166480e-12 + 1.6436005e-12 9.5055382e-12 6.4111502e-13 2.6238726e-12 + 1.5962312e-12 9.1306956e-12 6.6005463e-13 2.7295719e-12 + 1.5525495e-12 8.7887606e-12 6.7854300e-13 2.8338525e-12 + 1.5121051e-12 8.4754248e-12 6.9661315e-13 2.9368085e-12 + 1.4745209e-12 8.1871033e-12 7.1429425e-13 3.0385239e-12 + 1.4394783e-12 7.9208080e-12 7.3161225e-13 3.1390739e-12 + 1.4067057e-12 7.6740025e-12 7.4859030e-13 3.2385261e-12 + 1.3759707e-12 7.4445430e-12 7.6524925e-13 3.3369417e-12 + 1.3470725e-12 7.2305874e-12 7.8160784e-13 3.4343760e-12 + 1.3198367e-12 7.0305535e-12 7.9768309e-13 3.5308797e-12 + 1.2941113e-12 6.8430709e-12 8.1349045e-13 3.6264988e-12 + 1.2697629e-12 6.6669425e-12 8.2904401e-13 3.7212757e-12 + 1.2466739e-12 6.5011260e-12 8.4435667e-13 3.8152492e-12 + 1.2247405e-12 6.3447031e-12 8.5944027e-13 3.9084553e-12 + 1.2038700e-12 6.1968633e-12 8.7430570e-13 4.0009270e-12 + 1.1839801e-12 6.0568893e-12 8.8896301e-13 4.0926951e-12 + 1.1649969e-12 5.9241424e-12 9.0342150e-13 4.1837880e-12 + 1.1468542e-12 5.7980526e-12 9.1768979e-13 4.2742323e-12 + 1.1294923e-12 5.6781086e-12 9.3177588e-13 4.3640527e-12 + 1.1128570e-12 5.5638524e-12 9.4568724e-13 4.4532724e-12 + 1.0968996e-12 5.4548704e-12 9.5943083e-13 4.5419130e-12 + 1.0815756e-12 5.3507911e-12 9.7301315e-13 4.6299948e-12 + 1.0668445e-12 5.2512731e-12 9.8644029e-13 4.7175369e-12 + 1.0526693e-12 5.1560103e-12 9.9971796e-13 4.8045572e-12 + 1.0390162e-12 5.0647244e-12 1.0128515e-12 4.8910725e-12 + 1.0258541e-12 4.9771587e-12 1.0258461e-12 4.9770990e-12 + 3.6114740e-12 2.7912518e-11 2.7820584e-13 8.5161799e-13 + 3.2078222e-12 2.3774688e-11 3.1363586e-13 1.0001267e-12 + 2.9099387e-12 2.0822658e-11 3.4598540e-13 1.1411114e-12 + 2.6788646e-12 1.8599163e-11 3.7595848e-13 1.2760543e-12 + 2.4930902e-12 1.6857548e-11 4.0402716e-13 1.4059983e-12 + 2.3396617e-12 1.5452375e-11 4.3052580e-13 1.5317113e-12 + 2.2102592e-12 1.4292056e-11 4.5570129e-13 1.6537792e-12 + 2.0992666e-12 1.3315874e-11 4.7974210e-13 1.7726616e-12 + 2.0027404e-12 1.2481899e-11 5.0279600e-13 1.8887273e-12 + 1.9178208e-12 1.1760208e-11 5.2498136e-13 2.0022777e-12 + 1.8423777e-12 1.1128821e-11 5.4639472e-13 2.1135633e-12 + 1.7747884e-12 1.0571237e-11 5.6711605e-13 2.2227945e-12 + 1.7137925e-12 1.0074790e-11 5.8721240e-13 2.3301506e-12 + 1.6583942e-12 9.6296030e-12 6.0674064e-13 2.4357853e-12 + 1.6077955e-12 9.2278455e-12 6.2574951e-13 2.5398322e-12 + 1.5613483e-12 8.8632337e-12 6.4428115e-13 2.6424077e-12 + 1.5185200e-12 8.5306541e-12 6.6237227e-13 2.7436144e-12 + 1.4788687e-12 8.2259091e-12 6.8005509e-13 2.8435432e-12 + 1.4420239e-12 7.9455129e-12 6.9735809e-13 2.9422749e-12 + 1.4076729e-12 7.6865475e-12 7.1430659e-13 3.0398820e-12 + 1.3755491e-12 7.4465521e-12 7.3092319e-13 3.1364297e-12 + 1.3454243e-12 7.2234329e-12 7.4722822e-13 3.2319768e-12 + 1.3171013e-12 7.0154015e-12 7.6323999e-13 3.3265769e-12 + 1.2904090e-12 6.8209154e-12 7.7897509e-13 3.4202787e-12 + 1.2651983e-12 6.6386395e-12 7.9444861e-13 3.5131266e-12 + 1.2413382e-12 6.4674123e-12 8.0967430e-13 3.6051614e-12 + 1.2187133e-12 6.3062169e-12 8.2466475e-13 3.6964206e-12 + 1.1972217e-12 6.1541608e-12 8.3943152e-13 3.7869388e-12 + 1.1767725e-12 6.0104535e-12 8.5398525e-13 3.8767480e-12 + 1.1572848e-12 5.8743978e-12 8.6833575e-13 3.9658778e-12 + 1.1386864e-12 5.7453725e-12 8.8249209e-13 4.0543556e-12 + 1.1209121e-12 5.6228214e-12 8.9646270e-13 4.1422072e-12 + 1.1039032e-12 5.5062498e-12 9.1025540e-13 4.2294563e-12 + 1.0876070e-12 5.3952095e-12 9.2387747e-13 4.3161253e-12 + 1.0719753e-12 5.2892994e-12 9.3733570e-13 4.4022350e-12 + 1.0569646e-12 5.1881559e-12 9.5063645e-13 4.4878051e-12 + 1.0425352e-12 5.0914490e-12 9.6378567e-13 4.5728539e-12 + 1.0286508e-12 4.9988814e-12 9.7678894e-13 4.6573987e-12 + 1.0152781e-12 4.9101802e-12 9.8965149e-13 4.7414559e-12 + 1.0023869e-12 4.8250969e-12 1.0023783e-12 4.8250409e-12 + 3.5399079e-12 2.7148954e-11 2.7088093e-13 8.2173820e-13 + 3.1433839e-12 2.3118693e-11 3.0550488e-13 9.6551907e-13 + 2.8508141e-12 2.0243817e-11 3.3712401e-13 1.1020633e-12 + 2.6239026e-12 1.8078722e-11 3.6642437e-13 1.2327929e-12 + 2.4415058e-12 1.6383057e-11 3.9386630e-13 1.3587095e-12 + 2.2908909e-12 1.5015123e-11 4.1977601e-13 1.4805514e-12 + 2.1638800e-12 1.3885670e-11 4.4439438e-13 1.5988819e-12 + 2.0549533e-12 1.2935556e-11 4.6790531e-13 1.7141430e-12 + 1.9602353e-12 1.2123932e-11 4.9045293e-13 1.8266895e-12 + 1.8769158e-12 1.1421639e-11 5.1215273e-13 1.9368116e-12 + 1.8029022e-12 1.0807280e-11 5.3309892e-13 2.0447502e-12 + 1.7366000e-12 1.0264774e-11 5.5336953e-13 2.1507081e-12 + 1.6767713e-12 9.7817888e-12 5.7303000e-13 2.2548577e-12 + 1.6224380e-12 9.3487062e-12 5.9213588e-13 2.3573474e-12 + 1.5728162e-12 8.9579003e-12 6.1073473e-13 2.4583055e-12 + 1.5272694e-12 8.6032507e-12 6.2886770e-13 2.5578446e-12 + 1.4852746e-12 8.2797792e-12 6.4657062e-13 2.6560633e-12 + 1.4463977e-12 7.9833976e-12 6.6387496e-13 2.7530492e-12 + 1.4102750e-12 7.7107128e-12 6.8080851e-13 2.8488802e-12 + 1.3765994e-12 7.4588825e-12 6.9739597e-13 2.9436262e-12 + 1.3451092e-12 7.2255149e-12 7.1365942e-13 3.0373499e-12 + 1.3155802e-12 7.0085685e-12 7.2961866e-13 3.1301082e-12 + 1.2878190e-12 6.8063030e-12 7.4529158e-13 3.2219525e-12 + 1.2616576e-12 6.6172160e-12 7.6069437e-13 3.3129298e-12 + 1.2369495e-12 6.4400096e-12 7.7584175e-13 3.4030829e-12 + 1.2135662e-12 6.2735519e-12 7.9074714e-13 3.4924513e-12 + 1.1913946e-12 6.1168537e-12 8.0542283e-13 3.5810710e-12 + 1.1703344e-12 5.9690459e-12 8.1988011e-13 3.6689753e-12 + 1.1502966e-12 5.8293610e-12 8.3412935e-13 3.7561952e-12 + 1.1312019e-12 5.6971180e-12 8.4818014e-13 3.8427591e-12 + 1.1129792e-12 5.5717136e-12 8.6204133e-13 3.9286937e-12 + 1.0955646e-12 5.4526073e-12 8.7572116e-13 4.0140235e-12 + 1.0789008e-12 5.3393149e-12 8.8922725e-13 4.0987716e-12 + 1.0629356e-12 5.2314039e-12 9.0256672e-13 4.1829596e-12 + 1.0476221e-12 5.1284818e-12 9.1574621e-13 4.2666075e-12 + 1.0329175e-12 5.0301955e-12 9.2877191e-13 4.3497344e-12 + 1.0187828e-12 4.9362250e-12 9.4164964e-13 4.4323578e-12 + 1.0051824e-12 4.8462780e-12 9.5438485e-13 4.5144946e-12 + 9.9208374e-13 4.7600925e-12 9.6698265e-13 4.5961605e-12 + 9.7945700e-13 4.6774236e-12 9.7944785e-13 4.6773703e-12 + 3.4700293e-12 2.6405706e-11 2.6372575e-13 7.9281914e-13 + 3.0804576e-12 2.2480257e-11 2.9756136e-13 9.3201156e-13 + 2.7930720e-12 1.9680539e-11 3.2846629e-13 1.0642453e-12 + 2.5702224e-12 1.7572339e-11 3.5710895e-13 1.1908842e-12 + 2.3911223e-12 1.5921438e-11 3.8393819e-13 1.3128902e-12 + 2.2432537e-12 1.4589775e-11 4.0927217e-13 1.4309725e-12 + 2.1185773e-12 1.3490395e-11 4.3334595e-13 1.5456727e-12 + 2.0116672e-12 1.2565670e-11 4.5633892e-13 1.6574161e-12 + 1.9187143e-12 1.1775808e-11 4.7839170e-13 1.7665438e-12 + 1.8369570e-12 1.1092410e-11 4.9961695e-13 1.8733350e-12 + 1.7643389e-12 1.0494632e-11 5.2010658e-13 1.9780215e-12 + 1.6992935e-12 9.9668084e-12 5.3993673e-13 2.0807986e-12 + 1.6406044e-12 9.4969304e-12 5.5917126e-13 2.1818322e-12 + 1.5873110e-12 9.0756336e-12 5.7786439e-13 2.2812652e-12 + 1.5386432e-12 8.6954896e-12 5.9606257e-13 2.3792214e-12 + 1.4939756e-12 8.3505387e-12 6.1380596e-13 2.4758089e-12 + 1.4527947e-12 8.0359357e-12 6.3112954e-13 2.5711231e-12 + 1.4146741e-12 7.7476956e-12 6.4806403e-13 2.6652482e-12 + 1.3792566e-12 7.4825169e-12 6.6463657e-13 2.7582593e-12 + 1.3462405e-12 7.2376357e-12 6.8087124e-13 2.8502237e-12 + 1.3153691e-12 7.0107177e-12 6.9678961e-13 2.9412019e-12 + 1.2864220e-12 6.7997789e-12 7.1241100e-13 3.0312486e-12 + 1.2592093e-12 6.6031236e-12 7.2775285e-13 3.1204134e-12 + 1.2335663e-12 6.4192923e-12 7.4283097e-13 3.2087416e-12 + 1.2093491e-12 6.2470197e-12 7.5765972e-13 3.2962745e-12 + 1.1864315e-12 6.0852034e-12 7.7225220e-13 3.3830500e-12 + 1.1647025e-12 5.9328818e-12 7.8662040e-13 3.4691029e-12 + 1.1440637e-12 5.7892088e-12 8.0077533e-13 3.5544654e-12 + 1.1244278e-12 5.6534373e-12 8.1472712e-13 3.6391671e-12 + 1.1057168e-12 5.5249053e-12 8.2848513e-13 3.7232357e-12 + 1.0878611e-12 5.4030236e-12 8.4205801e-13 3.8066967e-12 + 1.0707980e-12 5.2872687e-12 8.5545379e-13 3.8895739e-12 + 1.0544711e-12 5.1771683e-12 8.6867991e-13 3.9718896e-12 + 1.0388294e-12 5.0723014e-12 8.8174333e-13 4.0536644e-12 + 1.0238267e-12 4.9722871e-12 8.9465052e-13 4.1349179e-12 + 1.0094211e-12 4.8767805e-12 9.0740755e-13 4.2156682e-12 + 9.9557420e-13 4.7854714e-12 9.2002007e-13 4.2959324e-12 + 9.8225126e-13 4.6980757e-12 9.3249342e-13 4.3757268e-12 + 9.6942027e-13 4.6143355e-12 9.4483259e-13 4.4550664e-12 + 9.5705194e-13 4.5340166e-12 9.5704229e-13 4.5339656e-12 + 3.4017975e-12 2.5682237e-11 2.5673654e-13 7.6483228e-13 + 3.0190068e-12 2.1858897e-11 2.8980109e-13 8.9957171e-13 + 2.7366791e-12 1.9132412e-11 3.2000763e-13 1.0276214e-12 + 2.5177935e-12 1.7079636e-11 3.4800728e-13 1.1502890e-12 + 2.3419110e-12 1.5472349e-11 3.7423753e-13 1.2684976e-12 + 2.1967231e-12 1.4176016e-11 3.9900870e-13 1.3829288e-12 + 2.0743254e-12 1.3105925e-11 4.2255009e-13 1.4941031e-12 + 1.9693839e-12 1.2205928e-11 4.4503675e-13 1.6024294e-12 + 1.8781541e-12 1.1437266e-11 4.6660584e-13 1.7082359e-12 + 1.7979218e-12 1.0772267e-11 4.8736728e-13 1.8117909e-12 + 1.7266661e-12 1.0190634e-11 5.0741071e-13 1.9133176e-12 + 1.6628477e-12 9.6771083e-12 5.2681040e-13 2.0130038e-12 + 1.6052716e-12 9.2199965e-12 5.4562869e-13 2.1110094e-12 + 1.5529936e-12 8.8101739e-12 5.6391849e-13 2.2074718e-12 + 1.5052573e-12 8.4404118e-12 5.8172512e-13 2.3025103e-12 + 1.4614484e-12 8.1049037e-12 5.9908780e-13 2.3962292e-12 + 1.4210623e-12 7.7989327e-12 6.1604069e-13 2.4887201e-12 + 1.3836802e-12 7.5186172e-12 6.3261377e-13 2.5800642e-12 + 1.3489514e-12 7.2607472e-12 6.4883352e-13 2.6703340e-12 + 1.3165794e-12 7.0226283e-12 6.6472346e-13 2.7595942e-12 + 1.2863122e-12 6.8019886e-12 6.8030463e-13 2.8479031e-12 + 1.2579333e-12 6.5968972e-12 6.9559589e-13 2.9353135e-12 + 1.2312565e-12 6.4057050e-12 7.1061427e-13 3.0218731e-12 + 1.2061197e-12 6.2269880e-12 7.2537517e-13 3.1076255e-12 + 1.1823818e-12 6.0595160e-12 7.3989261e-13 3.1926105e-12 + 1.1599191e-12 5.9022173e-12 7.5417938e-13 3.2768647e-12 + 1.1386224e-12 5.7541544e-12 7.6824717e-13 3.3604216e-12 + 1.1183952e-12 5.6145046e-12 7.8210673e-13 3.4433123e-12 + 1.0991518e-12 5.4825412e-12 7.9576795e-13 3.5255652e-12 + 1.0808157e-12 5.3576194e-12 8.0923995e-13 3.6072071e-12 + 1.0633184e-12 5.2391664e-12 8.2253118e-13 3.6882624e-12 + 1.0465986e-12 5.1266718e-12 8.3564947e-13 3.7687543e-12 + 1.0306008e-12 5.0196780e-12 8.4860211e-13 3.8487041e-12 + 1.0152751e-12 4.9177732e-12 8.6139586e-13 3.9281319e-12 + 1.0005760e-12 4.8205874e-12 8.7403707e-13 4.0070563e-12 + 9.8646235e-13 4.7277855e-12 8.8653163e-13 4.0854950e-12 + 9.7289672e-13 4.6390647e-12 8.9888509e-13 4.1634644e-12 + 9.5984480e-13 4.5541498e-12 9.1110265e-13 4.2409802e-12 + 9.4727527e-13 4.4727903e-12 9.2318918e-13 4.3180569e-12 + 9.3515937e-13 4.3947567e-12 9.3514928e-13 4.3947083e-12 + 3.3351725e-12 2.4978006e-11 2.4990962e-13 7.3774988e-13 + 2.9589958e-12 2.1254163e-11 2.8222000e-13 8.6816800e-13 + 2.6816029e-12 1.8599023e-11 3.1174356e-13 9.9215644e-13 + 2.4665859e-12 1.6600245e-11 3.3911449e-13 1.1109686e-12 + 2.2938439e-12 1.5035441e-11 3.6475915e-13 1.2254902e-12 + 2.1512726e-12 1.3773533e-11 3.8898011e-13 1.3363758e-12 + 2.0310993e-12 1.2731971e-11 4.1200106e-13 1.4441257e-12 + 1.9280793e-12 1.1856060e-11 4.3399277e-13 1.5491328e-12 + 1.8385316e-12 1.1108041e-11 4.5508906e-13 1.6517128e-12 + 1.7597882e-12 1.0460963e-11 4.7539714e-13 1.7521238e-12 + 1.6898627e-12 9.8950532e-12 4.9500446e-13 1.8505804e-12 + 1.6272425e-12 9.3954509e-12 5.1398347e-13 1.9472634e-12 + 1.5707530e-12 8.9507687e-12 5.3239498e-13 2.0423265e-12 + 1.5194666e-12 8.5521203e-12 5.5029062e-13 2.1359021e-12 + 1.4726400e-12 8.1924634e-12 5.6771463e-13 2.2281050e-12 + 1.4296696e-12 7.8661480e-12 5.8470528e-13 2.3190357e-12 + 1.3900597e-12 7.5685800e-12 6.0129592e-13 2.4087823e-12 + 1.3533988e-12 7.2959834e-12 6.1751581e-13 2.4974232e-12 + 1.3193425e-12 7.0452274e-12 6.3339081e-13 2.5850281e-12 + 1.2875995e-12 6.8136903e-12 6.4894389e-13 2.6716594e-12 + 1.2579223e-12 6.5991619e-12 6.6419556e-13 2.7573733e-12 + 1.2300984e-12 6.3997623e-12 6.7916423e-13 2.8422205e-12 + 1.2039448e-12 6.2138850e-12 6.9386652e-13 2.9262471e-12 + 1.1793024e-12 6.0401461e-12 7.0831747e-13 3.0094950e-12 + 1.1560328e-12 5.8773466e-12 7.2253075e-13 3.0920027e-12 + 1.1340143e-12 5.7244438e-12 7.3651882e-13 3.1738052e-12 + 1.1131398e-12 5.5805263e-12 7.5029312e-13 3.2549350e-12 + 1.0933146e-12 5.4447921e-12 7.6386411e-13 3.3354219e-12 + 1.0744546e-12 5.3165342e-12 7.7724144e-13 3.4152935e-12 + 1.0564846e-12 5.1951249e-12 7.9043404e-13 3.4945754e-12 + 1.0393376e-12 5.0800084e-12 8.0345012e-13 3.5732912e-12 + 1.0229531e-12 4.9706861e-12 8.1629735e-13 3.6514633e-12 + 1.0072768e-12 4.8667150e-12 8.2898282e-13 3.7291121e-12 + 9.9225964e-13 4.7676920e-12 8.4151315e-13 3.8062570e-12 + 9.7785711e-13 4.6732575e-12 8.5389452e-13 3.8829162e-12 + 9.6402879e-13 4.5830874e-12 8.6613270e-13 3.9591064e-12 + 9.5073786e-13 4.4968850e-12 8.7823309e-13 4.0348437e-12 + 9.3795071e-13 4.4143850e-12 8.9020078e-13 4.1101430e-12 + 9.2563658e-13 4.3353401e-12 9.0204052e-13 4.1850184e-12 + 9.1376727e-13 4.2595303e-12 9.1375679e-13 4.2594834e-12 + 3.2701150e-12 2.4292499e-11 2.4324141e-13 7.1154498e-13 + 2.9003897e-12 2.0665600e-11 2.7481409e-13 8.3776977e-13 + 2.6278118e-12 1.8079980e-11 3.0366969e-13 9.5781638e-13 + 2.4165703e-12 1.6133815e-11 3.3042587e-13 1.0728859e-12 + 2.2468936e-12 1.4610403e-11 3.5549800e-13 1.1838277e-12 + 2.1068763e-12 1.3382021e-11 3.7918106e-13 1.2912703e-12 + 1.9888742e-12 1.2368251e-11 4.0169323e-13 1.3956944e-12 + 1.8877300e-12 1.1515801e-11 4.2320109e-13 1.4974776e-12 + 1.7998245e-12 1.0787887e-11 4.4383519e-13 1.5969233e-12 + 1.7225346e-12 1.0158261e-11 4.6370012e-13 1.6942799e-12 + 1.6539079e-12 9.6076627e-12 4.8288118e-13 1.7897538e-12 + 1.5924576e-12 9.1216181e-12 5.0144903e-13 1.8835186e-12 + 1.5370293e-12 8.6890396e-12 5.1946299e-13 1.9757224e-12 + 1.4867112e-12 8.3012679e-12 5.3697343e-13 2.0664927e-12 + 1.4407730e-12 7.9514538e-12 5.5402352e-13 2.1559399e-12 + 1.3986215e-12 7.6340898e-12 5.7065061e-13 2.2441606e-12 + 1.3597695e-12 7.3447022e-12 5.8688725e-13 2.3312400e-12 + 1.3238130e-12 7.0796168e-12 6.0276200e-13 2.4172533e-12 + 1.2904133e-12 6.8357854e-12 6.1830011e-13 2.5022677e-12 + 1.2592847e-12 6.6106558e-12 6.3352399e-13 2.5863434e-12 + 1.2301836e-12 6.4020752e-12 6.4845366e-13 2.6695344e-12 + 1.2029017e-12 6.2082167e-12 6.6310710e-13 2.7518896e-12 + 1.1772591e-12 6.0275126e-12 6.7750053e-13 2.8334534e-12 + 1.1530996e-12 5.8586179e-12 6.9164860e-13 2.9142663e-12 + 1.1302873e-12 5.7003645e-12 7.0556467e-13 2.9943651e-12 + 1.1087027e-12 5.5517407e-12 7.1926090e-13 3.0737838e-12 + 1.0882406e-12 5.4118564e-12 7.3274843e-13 3.1525535e-12 + 1.0688081e-12 5.2799328e-12 7.4603748e-13 3.2307029e-12 + 1.0503226e-12 5.1552803e-12 7.5913747e-13 3.3082587e-12 + 1.0327103e-12 5.0372901e-12 7.7205709e-13 3.3852455e-12 + 1.0159053e-12 4.9254192e-12 7.8480437e-13 3.4616862e-12 + 9.9984835e-13 4.8191848e-12 7.9738679e-13 3.5376021e-12 + 9.8448615e-13 4.7181522e-12 8.0981126e-13 3.6130131e-12 + 9.6977047e-13 4.6219338e-12 8.2208426e-13 3.6879378e-12 + 9.5565765e-13 4.5301774e-12 8.3421180e-13 3.7623936e-12 + 9.4210802e-13 4.4425673e-12 8.4619952e-13 3.8363969e-12 + 9.2908544e-13 4.3588159e-12 8.5805271e-13 3.9099630e-12 + 9.1655692e-13 4.2786626e-12 8.6977630e-13 3.9831064e-12 + 9.0449229e-13 4.2018710e-12 8.8137496e-13 4.0558407e-12 + 8.9286386e-13 4.1282241e-12 8.9285305e-13 4.1281787e-12 + 3.2065868e-12 2.3625221e-11 2.3672841e-13 6.8619137e-13 + 2.8431543e-12 2.0092780e-11 2.6757947e-13 8.0834726e-13 + 2.5752747e-12 1.7574899e-11 2.9578177e-13 9.2456807e-13 + 2.3677179e-12 1.5679993e-11 3.2193679e-13 1.0360044e-12 + 2.2010331e-12 1.4196910e-11 3.4644914e-13 1.1434708e-12 + 2.0635088e-12 1.3001190e-11 3.6960633e-13 1.2475702e-12 + 1.9476261e-12 1.2014488e-11 3.9162109e-13 1.3487643e-12 + 1.8483131e-12 1.1184889e-11 4.1265594e-13 1.4474162e-12 + 1.7620106e-12 1.0476559e-11 4.3283822e-13 1.5438175e-12 + 1.6861400e-12 9.8639300e-12 4.5226996e-13 1.6382069e-12 + 1.6187816e-12 9.3282416e-12 4.7103435e-13 1.7307827e-12 + 1.5584737e-12 8.8553984e-12 4.8920032e-13 1.8217122e-12 + 1.5040816e-12 8.4346042e-12 5.0682574e-13 1.9111378e-12 + 1.4547092e-12 8.0574275e-12 5.2395972e-13 1.9991820e-12 + 1.4096384e-12 7.7171935e-12 5.4064439e-13 2.0859511e-12 + 1.3682865e-12 7.4085431e-12 5.5691619e-13 2.1715382e-12 + 1.3301748e-12 7.1271202e-12 5.7280688e-13 2.2560251e-12 + 1.2949061e-12 6.8693471e-12 5.8834435e-13 2.3394844e-12 + 1.2621478e-12 6.6322561e-12 6.0355323e-13 2.4219807e-12 + 1.2316190e-12 6.4133632e-12 6.1845540e-13 2.5035720e-12 + 1.2030807e-12 6.2105730e-12 6.3307041e-13 2.5843104e-12 + 1.1763281e-12 6.0221047e-12 6.4741580e-13 2.6642430e-12 + 1.1511846e-12 5.8464365e-12 6.6150739e-13 2.7434124e-12 + 1.1274968e-12 5.6822562e-12 6.7535951e-13 2.8218577e-12 + 1.1051311e-12 5.5284294e-12 6.8898515e-13 2.8996143e-12 + 1.0839703e-12 5.3839690e-12 7.0239621e-13 2.9767150e-12 + 1.0639111e-12 5.2480094e-12 7.1560354e-13 3.0531898e-12 + 1.0448622e-12 5.1197933e-12 7.2861711e-13 3.1290663e-12 + 1.0267425e-12 4.9986501e-12 7.4144612e-13 3.2043701e-12 + 1.0094795e-12 4.8839858e-12 7.5409903e-13 3.2791250e-12 + 9.9300867e-13 4.7752735e-12 7.6658371e-13 3.3533531e-12 + 9.7727173e-13 4.6720421e-12 7.7890741e-13 3.4270749e-12 + 9.6221633e-13 4.5738717e-12 7.9107691e-13 3.5003094e-12 + 9.4779516e-13 4.4803800e-12 8.0309850e-13 3.5730748e-12 + 9.3396535e-13 4.3912291e-12 8.1497808e-13 3.6453877e-12 + 9.2068795e-13 4.3061088e-12 8.2672113e-13 3.7172640e-12 + 9.0792751e-13 4.2247416e-12 8.3833282e-13 3.7887183e-12 + 8.9565165e-13 4.1468730e-12 8.4981797e-13 3.8597646e-12 + 8.8383074e-13 4.0722726e-12 8.6118111e-13 3.9304161e-12 + 8.7243762e-13 4.0007290e-12 8.7242654e-13 4.0006851e-12 + 3.1445503e-12 2.2975682e-11 2.3036717e-13 6.6166357e-13 + 2.7872563e-12 1.9535289e-11 2.6051233e-13 7.7987152e-13 + 2.5239613e-12 1.7083408e-11 2.8807564e-13 8.9237932e-13 + 2.3200007e-12 1.5238452e-11 3.1364275e-13 1.0002890e-12 + 2.1562362e-12 1.3794651e-11 3.3760775e-13 1.1043812e-12 + 2.0211453e-12 1.2630752e-11 3.6025079e-13 1.2052344e-12 + 1.9073315e-12 1.1670416e-11 3.8177927e-13 1.3032921e-12 + 1.8098060e-12 1.0863073e-11 4.0235168e-13 1.3989027e-12 + 1.7250688e-12 1.0173817e-11 4.2209226e-13 1.4923468e-12 + 1.6505839e-12 9.5777409e-12 4.4110052e-13 1.5838536e-12 + 1.5844638e-12 9.0565720e-12 4.5945761e-13 1.6736141e-12 + 1.5252715e-12 8.5965871e-12 4.7723077e-13 1.7617889e-12 + 1.4718913e-12 8.1872661e-12 4.9447641e-13 1.8485149e-12 + 1.4234424e-12 7.8204056e-12 5.1124245e-13 1.9339101e-12 + 1.3792188e-12 7.4894964e-12 5.2756999e-13 2.0180767e-12 + 1.3386478e-12 7.1893310e-12 5.4349457e-13 2.1011042e-12 + 1.3012590e-12 6.9156621e-12 5.5904718e-13 2.1830715e-12 + 1.2666619e-12 6.6650069e-12 5.7425503e-13 2.2640483e-12 + 1.2345299e-12 6.4344772e-12 5.8914217e-13 2.3440971e-12 + 1.2045870e-12 6.2216543e-12 6.0372996e-13 2.4232734e-12 + 1.1765984e-12 6.0245002e-12 6.1803746e-13 2.5016276e-12 + 1.1503628e-12 5.8412793e-12 6.3208181e-13 2.5792048e-12 + 1.1257067e-12 5.6705117e-12 6.4587845e-13 2.6560464e-12 + 1.1024796e-12 5.5109209e-12 6.5944133e-13 2.7321898e-12 + 1.0805502e-12 5.3614002e-12 6.7278318e-13 2.8076692e-12 + 1.0598034e-12 5.2209915e-12 6.8591556e-13 2.8825160e-12 + 1.0401377e-12 5.0888516e-12 6.9884909e-13 2.9567593e-12 + 1.0214635e-12 4.9642432e-12 7.1159349e-13 3.0304255e-12 + 1.0037011e-12 4.8465136e-12 7.2415772e-13 3.1035395e-12 + 9.8677953e-13 4.7350862e-12 7.3655005e-13 3.1761240e-12 + 9.7063508e-13 4.6294475e-12 7.4877813e-13 3.2482004e-12 + 9.5521072e-13 4.5291390e-12 7.6084907e-13 3.3197883e-12 + 9.4045503e-13 4.4337510e-12 7.7276945e-13 3.3909062e-12 + 9.2632155e-13 4.3429139e-12 7.8454544e-13 3.4615715e-12 + 9.1276821e-13 4.2562968e-12 7.9618277e-13 3.5318003e-12 + 8.9975676e-13 4.1736002e-12 8.0768680e-13 3.6016077e-12 + 8.8725240e-13 4.0945517e-12 8.1906256e-13 3.6710080e-12 + 8.7522335e-13 4.0189054e-12 8.3031476e-13 3.7400146e-12 + 8.6364053e-13 3.9464365e-12 8.4144785e-13 3.8086402e-12 + 8.5247728e-13 3.8769392e-12 8.5246598e-13 3.8768967e-12 + 3.0839688e-12 2.2343419e-11 2.2415436e-13 6.3793681e-13 + 2.7326630e-12 1.8992716e-11 2.5360895e-13 7.5231440e-13 + 2.4738418e-12 1.6605148e-11 2.8054721e-13 8.6121883e-13 + 2.2733911e-12 1.4808852e-11 3.0553935e-13 9.6570529e-13 + 2.1124769e-12 1.3403328e-11 3.2896913e-13 1.0665219e-12 + 1.9797613e-12 1.2270426e-11 3.5110946e-13 1.1642233e-12 + 1.8679671e-12 1.1335777e-11 3.7216251e-13 1.2592352e-12 + 1.7721868e-12 1.0550110e-11 3.9228282e-13 1.3518922e-12 + 1.6889778e-12 9.8794283e-12 4.1159158e-13 1.4424639e-12 + 1.6158460e-12 9.2994707e-12 4.3018583e-13 1.5311707e-12 + 1.5509353e-12 8.7924453e-12 4.4814476e-13 1.6181961e-12 + 1.4928324e-12 8.3449805e-12 4.6553392e-13 1.7036944e-12 + 1.4404405e-12 7.9468340e-12 4.8240835e-13 1.7877975e-12 + 1.3928933e-12 7.5900131e-12 4.9881477e-13 1.8706186e-12 + 1.3494971e-12 7.2681886e-12 5.1479325e-13 1.9522562e-12 + 1.3096887e-12 6.9762809e-12 5.3037848e-13 2.0327963e-12 + 1.2730057e-12 6.7101595e-12 5.4560069e-13 2.1123149e-12 + 1.2390647e-12 6.4664339e-12 5.6048642e-13 2.1908790e-12 + 1.2075443e-12 6.2422910e-12 5.7505913e-13 2.2685487e-12 + 1.1781736e-12 6.0353774e-12 5.8933967e-13 2.3453776e-12 + 1.1507218e-12 5.8437081e-12 6.0334666e-13 2.4214140e-12 + 1.1249912e-12 5.6655959e-12 6.1709681e-13 2.4967016e-12 + 1.1008113e-12 5.4995975e-12 6.3060519e-13 2.5712800e-12 + 1.0780342e-12 5.3444713e-12 6.4388543e-13 2.6451854e-12 + 1.0565310e-12 5.1991427e-12 6.5694993e-13 2.7184506e-12 + 1.0361885e-12 5.0626762e-12 6.6980999e-13 2.7911060e-12 + 1.0169073e-12 4.9342533e-12 6.8247596e-13 2.8631795e-12 + 9.9859918e-13 4.8131556e-12 6.9495732e-13 2.9346966e-12 + 9.8118589e-13 4.6987486e-12 7.0726282e-13 3.0056811e-12 + 9.6459768e-13 4.5904707e-12 7.1940052e-13 3.0761550e-12 + 9.4877211e-13 4.4878219e-12 7.3137789e-13 3.1461389e-12 + 9.3365311e-13 4.3903569e-12 7.4320185e-13 3.2156516e-12 + 9.1919020e-13 4.2976766e-12 7.5487884e-13 3.2847111e-12 + 9.0533778e-13 4.2094224e-12 7.6641487e-13 3.3533339e-12 + 8.9205450e-13 4.1252711e-12 7.7781551e-13 3.4215357e-12 + 8.7930286e-13 4.0449312e-12 7.8908602e-13 3.4893310e-12 + 8.6704867e-13 3.9681379e-12 8.0023129e-13 3.5567335e-12 + 8.5526072e-13 3.8946529e-12 8.1125593e-13 3.6237562e-12 + 8.4391049e-13 3.8242577e-12 8.2216425e-13 3.6904113e-12 + 8.3297180e-13 3.7567522e-12 8.3296034e-13 3.7567102e-12 + 3.0248063e-12 2.1727961e-11 2.1808671e-13 6.1498703e-13 + 2.6793425e-12 1.8464672e-11 2.4686571e-13 7.2564857e-13 + 2.4248872e-12 1.6139770e-11 2.7319254e-13 8.3105621e-13 + 2.2278621e-12 1.4390888e-11 2.9762230e-13 9.3222006e-13 + 2.0697302e-12 1.3022647e-11 3.2052866e-13 1.0298568e-12 + 1.9393331e-12 1.1919943e-11 3.4217746e-13 1.1244982e-12 + 1.8295105e-12 1.1010311e-11 3.6276567e-13 1.2165525e-12 + 1.7354340e-12 1.0245760e-11 3.8244397e-13 1.3063412e-12 + 1.6537173e-12 9.5931721e-12 4.0133054e-13 1.3941230e-12 + 1.5819068e-12 9.0289140e-12 4.1952006e-13 1.4801100e-12 + 1.5181770e-12 8.5356578e-12 4.3708973e-13 1.5644783e-12 + 1.4611381e-12 8.1003863e-12 4.5410351e-13 1.6473764e-12 + 1.4097111e-12 7.7131189e-12 4.7061506e-13 1.7289310e-12 + 1.3630446e-12 7.3660750e-12 4.8666995e-13 1.8092511e-12 + 1.3204563e-12 7.0530927e-12 5.0230727e-13 1.8884311e-12 + 1.2813927e-12 6.7692245e-12 5.1756082e-13 1.9665540e-12 + 1.2453992e-12 6.5104519e-12 5.3246011e-13 2.0436927e-12 + 1.2120988e-12 6.2734718e-12 5.4703102e-13 2.1199119e-12 + 1.1811759e-12 6.0555453e-12 5.6129644e-13 2.1952692e-12 + 1.1523641e-12 5.8543835e-12 5.7527672e-13 2.2698163e-12 + 1.1254366e-12 5.6680521e-12 5.8899002e-13 2.3435998e-12 + 1.1001992e-12 5.4949114e-12 6.0245266e-13 2.4166615e-12 + 1.0764844e-12 5.3335550e-12 6.1567933e-13 2.4890398e-12 + 1.0541469e-12 5.1827753e-12 6.2868334e-13 2.5607693e-12 + 1.0330600e-12 5.0415248e-12 6.4147680e-13 2.6318819e-12 + 1.0131127e-12 4.9088952e-12 6.5407072e-13 2.7024066e-12 + 9.9420699e-13 4.7840903e-12 6.6647521e-13 2.7723703e-12 + 9.7625645e-13 4.6664080e-12 6.7869952e-13 2.8417976e-12 + 9.5918420e-13 4.5552342e-12 6.9075218e-13 2.9107114e-12 + 9.4292170e-13 4.4500201e-12 7.0264107e-13 2.9791330e-12 + 9.2740764e-13 4.3502804e-12 7.1437345e-13 3.0470819e-12 + 9.1258695e-13 4.2555824e-12 7.2595608e-13 3.1145767e-12 + 8.9841007e-13 4.1655366e-12 7.3739526e-13 3.1816343e-12 + 8.8483220e-13 4.0797933e-12 7.4869681e-13 3.2482707e-12 + 8.7181277e-13 3.9980412e-12 7.5986621e-13 3.3145011e-12 + 8.5931492e-13 3.9199945e-12 7.7090855e-13 3.3803394e-12 + 8.4730512e-13 3.8453965e-12 7.8182863e-13 3.4457988e-12 + 8.3575272e-13 3.7740143e-12 7.9263094e-13 3.5108919e-12 + 8.2462972e-13 3.7056351e-12 8.0331968e-13 3.5756303e-12 + 8.1391042e-13 3.6400656e-12 8.1389883e-13 3.6400252e-12 + 2.9670276e-12 2.1128873e-11 2.1216100e-13 5.9279084e-13 + 2.6272634e-12 1.7950758e-11 2.4027904e-13 6.9984744e-13 + 2.3770689e-12 1.5686926e-11 2.6600774e-13 8.0186188e-13 + 2.1833874e-12 1.3984237e-11 2.8988741e-13 8.9980090e-13 + 2.0279711e-12 1.2652329e-11 3.1228188e-13 9.9435083e-13 + 1.8998374e-12 1.1579038e-11 3.3345001e-13 1.0860213e-12 + 1.7919395e-12 1.0693778e-11 3.5358373e-13 1.1752039e-12 + 1.6995267e-12 9.9497926e-12 3.7282987e-13 1.2622071e-12 + 1.6192671e-12 9.3148238e-12 3.9130367e-13 1.3472795e-12 + 1.5487469e-12 8.7658573e-12 4.0909748e-13 1.4306246e-12 + 1.4861704e-12 8.2860123e-12 4.2628659e-13 1.5124118e-12 + 1.4301704e-12 7.8626120e-12 4.4293338e-13 1.5927838e-12 + 1.3796859e-12 7.4859376e-12 4.5909019e-13 1.6718624e-12 + 1.3338795e-12 7.1484139e-12 4.7480146e-13 1.7497522e-12 + 1.2920802e-12 6.8440402e-12 4.9010528e-13 1.8265443e-12 + 1.2537439e-12 6.5680000e-12 5.0503465e-13 1.9023182e-12 + 1.2184237e-12 6.3163803e-12 5.1961831e-13 1.9771441e-12 + 1.1857491e-12 6.0859652e-12 5.3388153e-13 2.0510843e-12 + 1.1554097e-12 5.8740909e-12 5.4784663e-13 2.1241942e-12 + 1.1271438e-12 5.6785273e-12 5.6153346e-13 2.1965235e-12 + 1.1007285e-12 5.4973932e-12 5.7495973e-13 2.2681169e-12 + 1.0759730e-12 5.3290898e-12 5.8814137e-13 2.3390150e-12 + 1.0527126e-12 5.1722499e-12 6.0109272e-13 2.4092544e-12 + 1.0308045e-12 5.0257004e-12 6.1382678e-13 2.4788687e-12 + 1.0101244e-12 4.8884202e-12 6.2635535e-13 2.5478883e-12 + 9.9056293e-13 4.7595248e-12 6.3868918e-13 2.6163414e-12 + 9.7202413e-13 4.6382382e-12 6.5083813e-13 2.6842537e-12 + 9.5442293e-13 4.5238804e-12 6.6281123e-13 2.7516490e-12 + 9.3768384e-13 4.4158520e-12 6.7461680e-13 2.8185494e-12 + 9.2173954e-13 4.3136192e-12 6.8626253e-13 2.8849752e-12 + 9.0652979e-13 4.2167105e-12 6.9775550e-13 2.9509454e-12 + 8.9200054e-13 4.1247040e-12 7.0910231e-13 3.0164776e-12 + 8.7810308e-13 4.0372207e-12 7.2030909e-13 3.0815884e-12 + 8.6479343e-13 3.9539229e-12 7.3138153e-13 3.1462931e-12 + 8.5203175e-13 3.8745032e-12 7.4232497e-13 3.2106061e-12 + 8.3978186e-13 3.7986873e-12 7.5314438e-13 3.2745411e-12 + 8.2801082e-13 3.7262239e-12 7.6384443e-13 3.3381108e-12 + 8.1668854e-13 3.6568869e-12 7.7442950e-13 3.4013270e-12 + 8.0578753e-13 3.5904697e-12 7.8490371e-13 3.4642012e-12 + 7.9528257e-13 3.5267835e-12 7.9527091e-13 3.5267441e-12 + 2.9105982e-12 2.0545716e-11 2.0637413e-13 5.7132551e-13 + 2.5763951e-12 1.7450612e-11 2.3384549e-13 6.7488516e-13 + 2.3303589e-12 1.5246284e-11 2.5898904e-13 7.7360714e-13 + 2.1399410e-12 1.3588607e-11 2.8233060e-13 8.6841635e-13 + 1.9871754e-12 1.2292091e-11 3.0422439e-13 9.5996996e-13 + 1.8612512e-12 1.1247457e-11 3.2492247e-13 1.0487563e-12 + 1.7552326e-12 1.0385935e-11 3.4461176e-13 1.1351505e-12 + 1.6644443e-12 9.6619836e-12 3.6343536e-13 1.2194489e-12 + 1.5856075e-12 9.0441769e-12 3.8150559e-13 1.3018898e-12 + 1.5163475e-12 8.5101004e-12 3.9891251e-13 1.3826689e-12 + 1.4548973e-12 8.0433149e-12 4.1572955e-13 1.4619489e-12 + 1.3999119e-12 7.6314724e-12 4.3201755e-13 1.5398669e-12 + 1.3503478e-12 7.2651134e-12 4.4782755e-13 1.6165399e-12 + 1.3053813e-12 6.9368588e-12 4.6320289e-13 1.6920686e-12 + 1.2643527e-12 6.6408660e-12 4.7818071e-13 1.7665403e-12 + 1.2267267e-12 6.3724460e-12 4.9279318e-13 1.8400316e-12 + 1.1920642e-12 6.1277894e-12 5.0706834e-13 1.9126100e-12 + 1.1600008e-12 5.9037662e-12 5.2103082e-13 1.9843353e-12 + 1.1302314e-12 5.6977831e-12 5.3470238e-13 2.0552609e-12 + 1.1024988e-12 5.5076687e-12 5.4810239e-13 2.1254346e-12 + 1.0765838e-12 5.3315907e-12 5.6124814e-13 2.1948993e-12 + 1.0522990e-12 5.1679969e-12 5.7415516e-13 2.2636942e-12 + 1.0294825e-12 5.0155547e-12 5.8683744e-13 2.3318544e-12 + 1.0079940e-12 4.8731203e-12 5.9930766e-13 2.3994123e-12 + 9.8771113e-13 4.7397034e-12 6.1157734e-13 2.4663972e-12 + 9.6852674e-13 4.6144411e-12 6.2365697e-13 2.5328361e-12 + 9.5034636e-13 4.4965796e-12 6.3555618e-13 2.5987539e-12 + 9.3308645e-13 4.3854560e-12 6.4728377e-13 2.6641735e-12 + 9.1667284e-13 4.2804880e-12 6.5884786e-13 2.7291161e-12 + 9.0103940e-13 4.1811562e-12 6.7025594e-13 2.7936012e-12 + 8.8612696e-13 4.0870018e-12 6.8151495e-13 2.8576471e-12 + 8.7188242e-13 3.9976133e-12 6.9263130e-13 2.9212710e-12 + 8.5825794e-13 3.9126235e-12 7.0361097e-13 2.9844885e-12 + 8.4521034e-13 3.8317023e-12 7.1445952e-13 3.0473145e-12 + 8.3270048e-13 3.7545535e-12 7.2518215e-13 3.1097629e-12 + 8.2069283e-13 3.6809067e-12 7.3578372e-13 3.1718468e-12 + 8.0915505e-13 3.6105208e-12 7.4626877e-13 3.2335785e-12 + 7.9805761e-13 3.5431733e-12 7.5664158e-13 3.2949693e-12 + 7.8737349e-13 3.4786642e-12 7.6690616e-13 3.3560304e-12 + 7.7707795e-13 3.4168101e-12 7.7706628e-13 3.4167718e-12 + 2.8554844e-12 1.9978075e-11 2.0072305e-13 5.5056895e-13 + 2.5267077e-12 1.6963867e-11 2.2756165e-13 6.5073662e-13 + 2.2847299e-12 1.4817519e-11 2.5213272e-13 7.4626406e-13 + 2.0974974e-12 1.3203704e-11 2.7494788e-13 8.3803585e-13 + 1.9473195e-12 1.1941667e-11 2.9635194e-13 9.2668107e-13 + 1.8235523e-12 1.0924947e-11 3.1659030e-13 1.0126674e-12 + 1.7193687e-12 1.0086550e-11 3.3584499e-13 1.0963545e-12 + 1.6301667e-12 9.3821097e-12 3.5425541e-13 1.1780264e-12 + 1.5527195e-12 8.7810173e-12 3.7193105e-13 1.2579119e-12 + 1.4846900e-12 8.2614452e-12 3.8895969e-13 1.3361988e-12 + 1.4243397e-12 7.8073757e-12 4.0541295e-13 1.4130434e-12 + 1.3703453e-12 7.4067904e-12 4.2135016e-13 1.4885775e-12 + 1.3216801e-12 7.0504741e-12 4.3682108e-13 1.5629135e-12 + 1.2775339e-12 6.7312433e-12 4.5186799e-13 1.6361480e-12 + 1.2372579e-12 6.4434099e-12 4.6652711e-13 1.7083651e-12 + 1.2003259e-12 6.1824099e-12 4.8082980e-13 1.7796384e-12 + 1.1663057e-12 5.9445321e-12 4.9480338e-13 1.8500328e-12 + 1.1348393e-12 5.7267298e-12 5.0847189e-13 1.9196057e-12 + 1.1056268e-12 5.5264797e-12 5.2185654e-13 1.9884084e-12 + 1.0784151e-12 5.3416684e-12 5.3497622e-13 2.0564869e-12 + 1.0529890e-12 5.1705145e-12 5.4784779e-13 2.1238827e-12 + 1.0291640e-12 5.0115031e-12 5.6048639e-13 2.1906331e-12 + 1.0067811e-12 4.8633402e-12 5.7290569e-13 2.2567722e-12 + 9.8570245e-13 4.7249116e-12 5.8511805e-13 2.3223310e-12 + 9.6580782e-13 4.5952527e-12 5.9713470e-13 2.3873378e-12 + 9.4699179e-13 4.4735259e-12 6.0896589e-13 2.4518186e-12 + 9.2916157e-13 4.3589976e-12 6.2062101e-13 2.5157972e-12 + 9.1223510e-13 4.2510220e-12 6.3210865e-13 2.5792958e-12 + 8.9613947e-13 4.1490316e-12 6.4343673e-13 2.6423347e-12 + 8.8080973e-13 4.0525217e-12 6.5461256e-13 2.7049328e-12 + 8.6618776e-13 3.9610469e-12 6.6564289e-13 2.7671076e-12 + 8.5222137e-13 3.8742052e-12 6.7653401e-13 2.8288756e-12 + 8.3886360e-13 3.7916418e-12 6.8729173e-13 2.8902519e-12 + 8.2607202e-13 3.7130336e-12 6.9792148e-13 2.9512510e-12 + 8.1380819e-13 3.6380921e-12 7.0842832e-13 3.0118860e-12 + 8.0203723e-13 3.5665566e-12 7.1881701e-13 3.0721697e-12 + 7.9072736e-13 3.4981902e-12 7.2909196e-13 3.1321137e-12 + 7.7984960e-13 3.4327782e-12 7.3925735e-13 3.1917292e-12 + 7.6937741e-13 3.3701251e-12 7.4931708e-13 3.2510267e-12 + 7.5928650e-13 3.3100534e-12 7.5927485e-13 3.3100160e-12 + 2.8016533e-12 1.9425540e-11 1.9520479e-13 5.3049969e-13 + 2.4781716e-12 1.6490165e-11 2.2142422e-13 6.2737740e-13 + 2.2401549e-12 1.4400320e-11 2.4543519e-13 7.1980549e-13 + 2.0560317e-12 1.2829237e-11 2.6773536e-13 8.0862967e-13 + 1.9083799e-12 1.1600794e-11 2.8866034e-13 8.9445198e-13 + 1.7867189e-12 1.0611270e-11 3.0844905e-13 9.7772027e-13 + 1.6843269e-12 9.7953976e-12 3.2727872e-13 1.0587791e-12 + 1.5966741e-12 9.1099635e-12 3.4528512e-13 1.1379007e-12 + 1.5205840e-12 8.5251497e-12 3.6257492e-13 1.2153046e-12 + 1.4537564e-12 8.0196985e-12 3.7923368e-13 1.2911711e-12 + 1.3944803e-12 7.5780140e-12 3.9533125e-13 1.3656502e-12 + 1.3414537e-12 7.1883890e-12 4.1092546e-13 1.4388686e-12 + 1.2936664e-12 6.8418521e-12 4.2606487e-13 1.5109342e-12 + 1.2503214e-12 6.5314072e-12 4.4079067e-13 1.5819399e-12 + 1.2107806e-12 6.2515182e-12 4.5513820e-13 1.6519664e-12 + 1.1745263e-12 5.9977387e-12 4.6913802e-13 1.7210845e-12 + 1.1411337e-12 5.7664594e-12 4.8281680e-13 1.7893565e-12 + 1.1102505e-12 5.5547142e-12 4.9619793e-13 1.8568377e-12 + 1.0815820e-12 5.3600451e-12 5.0930213e-13 1.9235773e-12 + 1.0548793e-12 5.1803963e-12 5.2214779e-13 1.9896195e-12 + 1.0299307e-12 5.0140336e-12 5.3475136e-13 2.0550043e-12 + 1.0065549e-12 4.8594812e-12 5.4712762e-13 2.1197676e-12 + 9.8459573e-13 4.7154829e-12 5.5928987e-13 2.1839421e-12 + 9.6391754e-13 4.5809524e-12 5.7125019e-13 2.2475576e-12 + 9.4440216e-13 4.4549526e-12 5.8301954e-13 2.3106414e-12 + 9.2594603e-13 4.3366660e-12 5.9460791e-13 2.3732185e-12 + 9.0845792e-13 4.2253801e-12 6.0602445e-13 2.4353118e-12 + 8.9185721e-13 4.1204660e-12 6.1727757e-13 2.4969427e-12 + 8.7607226e-13 4.0213730e-12 6.2837497e-13 2.5581306e-12 + 8.6103924e-13 3.9276096e-12 6.3932380e-13 2.6188938e-12 + 8.4670105e-13 3.8387405e-12 6.5013064e-13 2.6792492e-12 + 8.3300644e-13 3.7543783e-12 6.6080162e-13 2.7392125e-12 + 8.1990925e-13 3.6741740e-12 6.7134241e-13 2.7987985e-12 + 8.0736782e-13 3.5978161e-12 6.8175832e-13 2.8580208e-12 + 7.9534439e-13 3.5250229e-12 6.9205427e-13 2.9168923e-12 + 7.8380469e-13 3.4555410e-12 7.0223490e-13 2.9754252e-12 + 7.7271752e-13 3.3891389e-12 7.1230452e-13 3.0336306e-12 + 7.6205442e-13 3.3256099e-12 7.2226721e-13 3.0915194e-12 + 7.5178933e-13 3.2647620e-12 7.3212677e-13 3.1491017e-12 + 7.4189838e-13 3.2064230e-12 7.4188679e-13 3.2063868e-12 + 2.7490724e-12 1.8887713e-11 1.8981644e-13 5.1109689e-13 + 2.4307581e-12 1.6029165e-11 2.1542996e-13 6.0478378e-13 + 2.1966076e-12 1.3994382e-11 2.3889290e-13 6.9420505e-13 + 2.0155196e-12 1.2464931e-11 2.6068922e-13 7.8016893e-13 + 1.8703340e-12 1.1269220e-11 2.8114554e-13 8.6325142e-13 + 1.7507294e-12 1.0306186e-11 3.0049441e-13 9.4388124e-13 + 1.6500872e-12 9.5122543e-12 3.1890839e-13 1.0223884e-12 + 1.5639473e-12 8.8453308e-12 3.3651967e-13 1.0990338e-12 + 1.4891826e-12 8.2763735e-12 3.5343217e-13 1.1740280e-12 + 1.4235288e-12 7.7846753e-12 3.6972927e-13 1.2475439e-12 + 1.3653019e-12 7.3550516e-12 3.8547903e-13 1.3197256e-12 + 1.3132205e-12 6.9760993e-12 4.0073787e-13 1.3906946e-12 + 1.2662907e-12 6.6390828e-12 4.1555312e-13 1.4605546e-12 + 1.2237284e-12 6.3371927e-12 4.2996496e-13 1.5293949e-12 + 1.1849057e-12 6.0650366e-12 4.4400784e-13 1.5972931e-12 + 1.1493135e-12 5.8182879e-12 4.5771155e-13 1.6643171e-12 + 1.1165339e-12 5.5934321e-12 4.7110209e-13 1.7305268e-12 + 1.0862205e-12 5.3875819e-12 4.8420229e-13 1.7959753e-12 + 1.0580835e-12 5.1983450e-12 4.9703231e-13 1.8607099e-12 + 1.0318780e-12 5.0237212e-12 5.0961011e-13 1.9247732e-12 + 1.0073960e-12 4.8620211e-12 5.2195171e-13 1.9882034e-12 + 9.8445917e-13 4.7118097e-12 5.3407153e-13 2.0510353e-12 + 9.6291393e-13 4.5718634e-12 5.4598253e-13 2.1133001e-12 + 9.4262698e-13 4.4411273e-12 5.5769650e-13 2.1750267e-12 + 9.2348216e-13 4.3186862e-12 5.6922413e-13 2.2362411e-12 + 9.0537764e-13 4.2037482e-12 5.8057516e-13 2.2969675e-12 + 8.8822380e-13 4.0956167e-12 5.9175852e-13 2.3572279e-12 + 8.7194136e-13 3.9936825e-12 6.0278240e-13 2.4170429e-12 + 8.5645996e-13 3.8974080e-12 6.1365434e-13 2.4764311e-12 + 8.4171686e-13 3.8063159e-12 6.2438129e-13 2.5354103e-12 + 8.2765595e-13 3.7199836e-12 6.3496969e-13 2.5939965e-12 + 8.1422688e-13 3.6380317e-12 6.4542550e-13 2.6522050e-12 + 8.0138432e-13 3.5601236e-12 6.5575427e-13 2.7100500e-12 + 7.8908731e-13 3.4859540e-12 6.6596116e-13 2.7675445e-12 + 7.7729878e-13 3.4152504e-12 6.7605099e-13 2.8247010e-12 + 7.6598507e-13 3.3477657e-12 6.8602827e-13 2.8815311e-12 + 7.5511553e-13 3.2832756e-12 6.9589722e-13 2.9380458e-12 + 7.4466220e-13 3.2215770e-12 7.0566179e-13 2.9942552e-12 + 7.3459949e-13 3.1624852e-12 7.1532571e-13 3.0501692e-12 + 7.2490397e-13 3.1058324e-12 7.2489248e-13 3.1057969e-12 + 2.6977101e-12 1.8364203e-11 1.8455517e-13 4.9234028e-13 + 2.3844389e-12 1.5580532e-11 2.0957570e-13 5.8293268e-13 + 2.1540622e-12 1.3599402e-11 2.3250240e-13 6.6943709e-13 + 1.9759372e-12 1.2110519e-11 2.5380576e-13 7.5262556e-13 + 1.8331594e-12 1.0946690e-11 2.7380356e-13 8.3304900e-13 + 1.7155629e-12 1.0009465e-11 2.9272216e-13 9.1111774e-13 + 1.6166296e-12 9.2369071e-12 3.1072953e-13 9.8714780e-13 + 1.5319673e-12 8.5880132e-12 3.2795438e-13 1.0613891e-12 + 1.4584971e-12 8.0344958e-12 3.4449790e-13 1.1340434e-12 + 1.3939898e-12 7.5561951e-12 3.6044133e-13 1.2052766e-12 + 1.3367877e-12 7.1383142e-12 3.7585100e-13 1.2752269e-12 + 1.2856296e-12 6.7697531e-12 3.9078191e-13 1.3440111e-12 + 1.2395374e-12 6.4420073e-12 4.0528019e-13 1.4117286e-12 + 1.1977396e-12 6.1484454e-12 4.1938503e-13 1.4784653e-12 + 1.1596184e-12 5.8838183e-12 4.3313002e-13 1.5442957e-12 + 1.1246730e-12 5.6439144e-12 4.4654420e-13 1.6092850e-12 + 1.0924924e-12 5.4253110e-12 4.5965293e-13 1.6734908e-12 + 1.0627357e-12 5.2251992e-12 4.7247845e-13 1.7369640e-12 + 1.0351179e-12 5.0412500e-12 4.8504043e-13 1.7997502e-12 + 1.0093983e-12 4.8715167e-12 4.9735636e-13 1.8618902e-12 + 9.8537216e-13 4.7143538e-12 5.0944187e-13 1.9234209e-12 + 9.6286425e-13 4.5683684e-12 5.2131099e-13 1.9843754e-12 + 9.4172346e-13 4.4323654e-12 5.3297640e-13 2.0447841e-12 + 9.2181880e-13 4.3053207e-12 5.4444956e-13 2.1046745e-12 + 9.0303603e-13 4.1863438e-12 5.5574091e-13 2.1640717e-12 + 8.8527507e-13 4.0746619e-12 5.6685994e-13 2.2229990e-12 + 8.6844783e-13 3.9696003e-12 5.7781537e-13 2.2814776e-12 + 8.5247639e-13 3.8705656e-12 5.8861519e-13 2.3395271e-12 + 8.3729158e-13 3.7770343e-12 5.9926675e-13 2.3971657e-12 + 8.2283176e-13 3.6885414e-12 6.0977682e-13 2.4544102e-12 + 8.0904180e-13 3.6046759e-12 6.2015170e-13 2.5112762e-12 + 7.9587221e-13 3.5250700e-12 6.3039720e-13 2.5677784e-12 + 7.8327846e-13 3.4493945e-12 6.4051872e-13 2.6239303e-12 + 7.7122031e-13 3.3773546e-12 6.5052131e-13 2.6797447e-12 + 7.5966134e-13 3.3086835e-12 6.6040967e-13 2.7352334e-12 + 7.4856848e-13 3.2431410e-12 6.7018819e-13 2.7904077e-12 + 7.3791163e-13 3.1805099e-12 6.7986099e-13 2.8452779e-12 + 7.2766331e-13 3.1205926e-12 6.8943193e-13 2.8998542e-12 + 7.1779839e-13 3.0632093e-12 6.9890463e-13 2.9541457e-12 + 7.0829387e-13 3.0081959e-12 7.0828252e-13 3.0081612e-12 + 2.6475352e-12 1.7854638e-11 1.7941821e-13 4.7421018e-13 + 2.3391860e-12 1.5143940e-11 2.0385836e-13 5.6180171e-13 + 2.1124932e-12 1.3215090e-11 2.2626032e-13 6.4547668e-13 + 1.9372609e-12 1.1765733e-11 2.4708133e-13 7.2597227e-13 + 1.7968343e-12 1.0632970e-11 2.6663052e-13 8.0381519e-13 + 1.6811990e-12 9.7208857e-12 2.8512818e-13 8.7939806e-13 + 1.5839347e-12 8.9691474e-12 3.0273780e-13 9.5302341e-13 + 1.5007157e-12 8.3378147e-12 3.1958467e-13 1.0249306e-12 + 1.4285099e-12 7.7993384e-12 3.3576733e-13 1.0953129e-12 + 1.3651224e-12 7.3340773e-12 3.5136489e-13 1.1643294e-12 + 1.3089212e-12 6.9276323e-12 3.6644198e-13 1.2321127e-12 + 1.2586650e-12 6.5691904e-12 3.8105220e-13 1.2987748e-12 + 1.2133911e-12 6.2504706e-12 3.9524053e-13 1.3644113e-12 + 1.1723401e-12 5.9650169e-12 4.0904517e-13 1.4291045e-12 + 1.1349044e-12 5.7077198e-12 4.2249887e-13 1.4929259e-12 + 1.1005910e-12 5.4744786e-12 4.3562995e-13 1.5559383e-12 + 1.0689955e-12 5.2619618e-12 4.4846312e-13 1.6181970e-12 + 1.0397828e-12 5.0674363e-12 4.6102007e-13 1.6797508e-12 + 1.0126724e-12 4.8886338e-12 4.7331997e-13 1.7406436e-12 + 9.8742748e-13 4.7236590e-12 4.8537987e-13 1.8009145e-12 + 9.6384680e-13 4.5709134e-12 4.9721500e-13 1.8605990e-12 + 9.4175796e-13 4.4290400e-12 5.0883905e-13 1.9197290e-12 + 9.2101238e-13 4.2968744e-12 5.2026436e-13 1.9783336e-12 + 9.0148124e-13 4.1734217e-12 5.3150212e-13 2.0364392e-12 + 8.8305225e-13 4.0578148e-12 5.4256249e-13 2.0940701e-12 + 8.6562700e-13 3.9493037e-12 5.5345474e-13 2.1512484e-12 + 8.4911889e-13 3.8472295e-12 5.6418737e-13 2.2079948e-12 + 8.3345134e-13 3.7510137e-12 5.7476816e-13 2.2643279e-12 + 8.1855636e-13 3.6601508e-12 5.8520429e-13 2.3202654e-12 + 8.0437336e-13 3.5741860e-12 5.9550237e-13 2.3758234e-12 + 7.9084818e-13 3.4927214e-12 6.0566853e-13 2.4310169e-12 + 7.7793217e-13 3.4153975e-12 6.1570844e-13 2.4858599e-12 + 7.6558157e-13 3.3418943e-12 6.2562739e-13 2.5403656e-12 + 7.5375686e-13 3.2719255e-12 6.3543027e-13 2.5945462e-12 + 7.4242225e-13 3.2052319e-12 6.4512169e-13 2.6484131e-12 + 7.3154524e-13 3.1415794e-12 6.5470593e-13 2.7019770e-12 + 7.2109626e-13 3.0807566e-12 6.6418699e-13 2.7552482e-12 + 7.1104832e-13 3.0225717e-12 6.7356865e-13 2.8082360e-12 + 7.0137673e-13 2.9668494e-12 6.8285445e-13 2.8609495e-12 + 6.9205889e-13 2.9134305e-12 6.9204772e-13 2.9133971e-12 + 2.5985173e-12 1.7358655e-11 1.7440286e-13 4.5668747e-13 + 2.2949724e-12 1.4719071e-11 1.9827492e-13 5.4136908e-13 + 2.0718758e-12 1.2841164e-11 2.2016336e-13 6.2229959e-13 + 1.8994679e-12 1.1430317e-11 2.4051239e-13 7.0018253e-13 + 1.7613373e-12 1.0327820e-11 2.5962262e-13 7.7552127e-13 + 1.6476175e-12 9.4402263e-12 2.7770843e-13 8.4869140e-13 + 1.5519834e-12 8.7087698e-12 2.9492893e-13 9.1998244e-13 + 1.4701741e-12 8.0945398e-12 3.1140607e-13 9.8962353e-13 + 1.3992034e-12 7.5707106e-12 3.2723577e-13 1.0577999e-12 + 1.3369098e-12 7.1181541e-12 3.4249506e-13 1.1246639e-12 + 1.2816864e-12 6.7228440e-12 3.5724690e-13 1.1903428e-12 + 1.2323112e-12 6.3742540e-12 3.7154352e-13 1.2549439e-12 + 1.1878367e-12 6.0643226e-12 3.8542874e-13 1.3185589e-12 + 1.1475155e-12 5.7867627e-12 3.9893981e-13 1.3812670e-12 + 1.1107494e-12 5.5366022e-12 4.1210866e-13 1.4431369e-12 + 1.0770535e-12 5.3098460e-12 4.2496290e-13 1.5042286e-12 + 1.0460299e-12 5.1032543e-12 4.3752661e-13 1.5645954e-12 + 1.0173488e-12 4.9141655e-12 4.4982094e-13 1.6242842e-12 + 9.9073413e-13 4.7403725e-12 4.6186457e-13 1.6833370e-12 + 9.6595311e-13 4.5800310e-12 4.7367413e-13 1.7417917e-12 + 9.4280770e-13 4.4315833e-12 4.8526445e-13 1.7996820e-12 + 9.2112836e-13 4.2937103e-12 4.9664889e-13 1.8570387e-12 + 9.0076897e-13 4.1652809e-12 5.0783946e-13 1.9138898e-12 + 8.8160283e-13 4.0453231e-12 5.1884707e-13 1.9702606e-12 + 8.6351954e-13 3.9329955e-12 5.2968164e-13 2.0261745e-12 + 8.4642234e-13 3.8275679e-12 5.4035219e-13 2.0816528e-12 + 8.3022609e-13 3.7283998e-12 5.5086701e-13 2.1367152e-12 + 8.1485551e-13 3.6349297e-12 5.6123369e-13 2.1913798e-12 + 8.0024377e-13 3.5466613e-12 5.7145922e-13 2.2456635e-12 + 7.8633131e-13 3.4631575e-12 5.8155007e-13 2.2995817e-12 + 7.7306489e-13 3.3840271e-12 5.9151220e-13 2.3531491e-12 + 7.6039672e-13 3.3089231e-12 6.0135114e-13 2.4063789e-12 + 7.4828378e-13 3.2375339e-12 6.1107205e-13 2.4592839e-12 + 7.3668723e-13 3.1695797e-12 6.2067972e-13 2.5118758e-12 + 7.2557191e-13 3.1048092e-12 6.3017862e-13 2.5641656e-12 + 7.1490588e-13 3.0429946e-12 6.3957293e-13 2.6161636e-12 + 7.0466008e-13 2.9839310e-12 6.4886657e-13 2.6678796e-12 + 6.9480801e-13 2.9274307e-12 6.5806321e-13 2.7193227e-12 + 6.8532541e-13 2.8733241e-12 6.6716630e-13 2.7705015e-12 + 6.7619006e-13 2.8214566e-12 6.7617910e-13 2.8214243e-12 + 2.5506265e-12 1.6875893e-11 1.6950649e-13 4.3975357e-13 + 2.2517712e-12 1.4305610e-11 1.9282245e-13 5.2161365e-13 + 2.0321855e-12 1.2477348e-11 2.1420829e-13 5.9988227e-13 + 1.8625356e-12 1.1104026e-11 2.3409545e-13 6.7523054e-13 + 1.7266475e-12 1.0031014e-11 2.5277617e-13 7.4813934e-13 + 1.6147987e-12 9.1672814e-12 2.7045901e-13 8.1896781e-13 + 1.5207570e-12 8.4555778e-12 2.8729879e-13 8.8799298e-13 + 1.4403248e-12 7.8580048e-12 3.0341422e-13 9.5543418e-13 + 1.3705605e-12 7.3484430e-12 3.1889865e-13 1.0214688e-12 + 1.3093355e-12 6.9082551e-12 3.3382708e-13 1.0862428e-12 + 1.2550674e-12 6.5237881e-12 3.4826082e-13 1.1498780e-12 + 1.2065531e-12 6.1847918e-12 3.6225072e-13 1.2124775e-12 + 1.1628596e-12 5.8834160e-12 3.7583952e-13 1.2741292e-12 + 1.1232514e-12 5.6135426e-12 3.8906350e-13 1.3349090e-12 + 1.0871398e-12 5.3703278e-12 4.0195377e-13 1.3948830e-12 + 1.0540473e-12 5.1498861e-12 4.1453727e-13 1.4541088e-12 + 1.0235825e-12 4.9490618e-12 4.2683747e-13 1.5126374e-12 + 9.9542082e-13 4.7652651e-12 4.3887498e-13 1.5705140e-12 + 9.6929066e-13 4.5963481e-12 4.5066801e-13 1.6277790e-12 + 9.4496295e-13 4.4405142e-12 4.6223276e-13 1.6844686e-12 + 9.2224290e-13 4.2962500e-12 4.7358371e-13 1.7406153e-12 + 9.0096374e-13 4.1622704e-12 4.8473385e-13 1.7962486e-12 + 8.8098173e-13 4.0374748e-12 4.9569490e-13 1.8513954e-12 + 8.6217230e-13 3.9209180e-12 5.0647750e-13 1.9060801e-12 + 8.4442684e-13 3.8117826e-12 5.1709129e-13 1.9603251e-12 + 8.2765025e-13 3.7093554e-12 5.2754509e-13 2.0141509e-12 + 8.1175878e-13 3.6130150e-12 5.3784696e-13 2.0675763e-12 + 7.9667844e-13 3.5222150e-12 5.4800432e-13 2.1206190e-12 + 7.8234352e-13 3.4364723e-12 5.5802398e-13 2.1732948e-12 + 7.6869548e-13 3.3553614e-12 5.6791222e-13 2.2256190e-12 + 7.5568198e-13 3.2785029e-12 5.7767489e-13 2.2776052e-12 + 7.4325606e-13 3.2055580e-12 5.8731736e-13 2.3292666e-12 + 7.3137542e-13 3.1362243e-12 5.9684468e-13 2.3806152e-12 + 7.2000190e-13 3.0702301e-12 6.0626150e-13 2.4316623e-12 + 7.0910093e-13 3.0073306e-12 6.1557219e-13 2.4824185e-12 + 6.9864115e-13 2.9473043e-12 6.2478083e-13 2.5328938e-12 + 6.8859398e-13 2.8899509e-12 6.3389124e-13 2.5830975e-12 + 6.7893339e-13 2.8350897e-12 6.4290700e-13 2.6330383e-12 + 6.6963553e-13 2.7825548e-12 6.5183148e-13 2.6827247e-12 + 6.6067858e-13 2.7321958e-12 6.6066785e-13 2.7321644e-12 + 2.5038334e-12 1.6406006e-11 1.6472652e-13 4.2339044e-13 + 2.2095562e-12 1.3903263e-11 1.8749807e-13 5.0251484e-13 + 1.9933986e-12 1.2123373e-11 2.0839198e-13 5.7820183e-13 + 1.8264421e-12 1.0786613e-11 2.2782713e-13 6.5109125e-13 + 1.6927444e-12 9.7423270e-12 2.4608755e-13 7.2164226e-13 + 1.5827232e-12 8.9018375e-12 2.6337605e-13 7.9019819e-13 + 1.4902372e-12 8.2093737e-12 2.7984332e-13 8.5702402e-13 + 1.4111503e-12 7.6280284e-12 2.9560486e-13 9.2232965e-13 + 1.3425646e-12 7.1323578e-12 3.1075152e-13 9.8628487e-13 + 1.2823836e-12 6.7042175e-12 3.2535630e-13 1.0490295e-12 + 1.2290489e-12 6.3303092e-12 3.3947889e-13 1.1106802e-12 + 1.1813756e-12 6.0006533e-12 3.5316882e-13 1.1713358e-12 + 1.1384454e-12 5.7076079e-12 3.6646769e-13 1.2310807e-12 + 1.0995340e-12 5.4452177e-12 3.7941088e-13 1.2899876e-12 + 1.0640619e-12 5.2087650e-12 3.9202872e-13 1.3481198e-12 + 1.0315592e-12 4.9944690e-12 4.0434743e-13 1.4055329e-12 + 1.0016405e-12 4.7992596e-12 4.1638992e-13 1.4622757e-12 + 9.7398640e-13 4.6206142e-12 4.2817626e-13 1.5183916e-12 + 9.4832973e-13 4.4564417e-12 4.3972421e-13 1.5739194e-12 + 9.2444504e-13 4.3049956e-12 4.5104956e-13 1.6288937e-12 + 9.0214070e-13 4.1648036e-12 4.6216641e-13 1.6833460e-12 + 8.8125262e-13 4.0346125e-12 4.7308743e-13 1.7373045e-12 + 8.6163944e-13 3.9133531e-12 4.8382405e-13 1.7907949e-12 + 8.4317862e-13 3.8001068e-12 4.9438661e-13 1.8438408e-12 + 8.2576335e-13 3.6940759e-12 5.0478453e-13 1.8964637e-12 + 8.0930010e-13 3.5945687e-12 5.1502640e-13 1.9486832e-12 + 7.9370653e-13 3.5009790e-12 5.2512007e-13 2.0005174e-12 + 7.7890988e-13 3.4127761e-12 5.3507277e-13 2.0519833e-12 + 7.6484554e-13 3.3294911e-12 5.4489114e-13 2.1030962e-12 + 7.5145597e-13 3.2507083e-12 5.5458131e-13 2.1538705e-12 + 7.3868972e-13 3.1760597e-12 5.6414896e-13 2.2043197e-12 + 7.2650059e-13 3.1052158e-12 5.7359936e-13 2.2544561e-12 + 7.1484705e-13 3.0378818e-12 5.8293739e-13 2.3042914e-12 + 7.0369156e-13 2.9737939e-12 5.9216763e-13 2.3538365e-12 + 6.9300015e-13 2.9127134e-12 6.0129432e-13 2.4031015e-12 + 6.8274200e-13 2.8544265e-12 6.1032144e-13 2.4520961e-12 + 6.7288902e-13 2.7987375e-12 6.1925271e-13 2.5008291e-12 + 6.6341562e-13 2.7454704e-12 6.2809163e-13 2.5493091e-12 + 6.5429838e-13 2.6944639e-12 6.3684149e-13 2.5975441e-12 + 6.4551585e-13 2.6455717e-12 6.4550537e-13 2.6455415e-12 + 2.4581090e-12 1.5948651e-11 1.6006042e-13 4.0758052e-13 + 2.1683015e-12 1.3511731e-11 1.8229897e-13 4.8405269e-13 + 1.9554914e-12 1.1778981e-11 2.0271134e-13 5.5723603e-13 + 1.7911657e-12 1.0477844e-11 2.2170411e-13 6.2774028e-13 + 1.6596077e-12 9.4615447e-12 2.3955320e-13 6.9600368e-13 + 1.5513720e-12 8.6436950e-12 2.5645583e-13 7.6235426e-13 + 1.4604058e-12 7.9699758e-12 2.7255858e-13 8.2704543e-13 + 1.3826332e-12 7.4044345e-12 2.8797384e-13 8.9027801e-13 + 1.3151992e-12 6.9222934e-12 3.0279003e-13 9.5221450e-13 + 1.2560383e-12 6.5058821e-12 3.1707818e-13 1.0129887e-12 + 1.2036156e-12 6.1422547e-12 3.3089640e-13 1.0727124e-12 + 1.1567643e-12 5.8216947e-12 3.4429289e-13 1.1314803e-12 + 1.1145800e-12 5.5367613e-12 3.5730820e-13 1.1893733e-12 + 1.0763496e-12 5.2816543e-12 3.6997676e-13 1.2464611e-12 + 1.0415025e-12 5.0517857e-12 3.8232812e-13 1.3028044e-12 + 1.0095762e-12 4.8434732e-12 3.9438787e-13 1.3584565e-12 + 9.8019121e-13 4.6537276e-12 4.0617829e-13 1.4134643e-12 + 9.5303326e-13 4.4800949e-12 4.1771898e-13 1.4678696e-12 + 9.2783935e-13 4.3205417e-12 4.2902723e-13 1.5217093e-12 + 9.0438766e-13 4.1733663e-12 4.4011844e-13 1.5750170e-12 + 8.8248961e-13 4.0371356e-12 4.5100634e-13 1.6278227e-12 + 8.6198378e-13 3.9106325e-12 4.6170329e-13 1.6801535e-12 + 8.4273109e-13 3.7928152e-12 4.7222042e-13 1.7320342e-12 + 8.2461100e-13 3.6827885e-12 4.8256780e-13 1.7834874e-12 + 8.0751848e-13 3.5797787e-12 4.9275462e-13 1.8345336e-12 + 7.9136152e-13 3.4831119e-12 5.0278924e-13 1.8851918e-12 + 7.7605915e-13 3.3921988e-12 5.1267933e-13 1.9354794e-12 + 7.6153981e-13 3.3065234e-12 5.2243190e-13 1.9854125e-12 + 7.4773999e-13 3.2256283e-12 5.3205345e-13 2.0350060e-12 + 7.3460311e-13 3.1491109e-12 5.4154995e-13 2.0842737e-12 + 7.2207856e-13 3.0766118e-12 5.5092692e-13 2.1332285e-12 + 7.1012095e-13 3.0078109e-12 5.6018952e-13 2.1818823e-12 + 6.9868943e-13 2.9424229e-12 5.6934249e-13 2.2302463e-12 + 6.8774710e-13 2.8801889e-12 5.7839030e-13 2.2783309e-12 + 6.7726059e-13 2.8208791e-12 5.8733709e-13 2.3261461e-12 + 6.6719957e-13 2.7642834e-12 5.9618673e-13 2.3737008e-12 + 6.5753645e-13 2.7102132e-12 6.0494286e-13 2.4210038e-12 + 6.4824608e-13 2.6584961e-12 6.1360888e-13 2.4680632e-12 + 6.3930544e-13 2.6089762e-12 6.2218800e-13 2.5148867e-12 + 6.3069344e-13 2.5615110e-12 6.3068323e-13 2.5614815e-12 + 2.4134251e-12 1.5503506e-11 1.5550574e-13 3.9230680e-13 + 2.1279818e-12 1.3130734e-11 1.7722242e-13 4.6620779e-13 + 1.9184410e-12 1.1443915e-11 1.9716339e-13 5.3696326e-13 + 1.7566852e-12 1.0177486e-11 2.1572314e-13 6.0515396e-13 + 1.6272177e-12 9.1884557e-12 2.3316966e-13 6.7119794e-13 + 1.5207265e-12 8.3926618e-12 2.4969466e-13 7.3540851e-13 + 1.4312452e-12 7.7371975e-12 2.6544068e-13 7.9802792e-13 + 1.3547569e-12 7.1870500e-12 2.8051709e-13 8.5924823e-13 + 1.2884482e-12 6.7180830e-12 2.9500992e-13 9.1922493e-13 + 1.2302841e-12 6.3130958e-12 3.0898828e-13 9.7808609e-13 + 1.1787527e-12 5.9594798e-12 3.2250872e-13 1.0359388e-12 + 1.1327048e-12 5.6477750e-12 3.3561817e-13 1.0928736e-12 + 1.0912496e-12 5.3707377e-12 3.4835608e-13 1.1489680e-12 + 1.0536848e-12 5.1227230e-12 3.6075601e-13 1.2042889e-12 + 1.0194486e-12 4.8992624e-12 3.7284673e-13 1.2588946e-12 + 9.8808563e-13 4.6967746e-12 3.8465317e-13 1.3128362e-12 + 9.5922237e-13 4.5123480e-12 3.9619705e-13 1.3661585e-12 + 9.3254936e-13 4.3435966e-12 4.0749745e-13 1.4189017e-12 + 9.0780777e-13 4.1885366e-12 4.1857126e-13 1.4711015e-12 + 8.8477931e-13 4.0455175e-12 4.2943345e-13 1.5227897e-12 + 8.6327839e-13 3.9131425e-12 4.4009742e-13 1.5739953e-12 + 8.4314620e-13 3.7902272e-12 4.5057521e-13 1.6247445e-12 + 8.2424589e-13 3.6757581e-12 4.6087766e-13 1.6750608e-12 + 8.0645890e-13 3.5688659e-12 4.7101460e-13 1.7249659e-12 + 7.8968188e-13 3.4687955e-12 4.8099496e-13 1.7744797e-12 + 7.7382434e-13 3.3748927e-12 4.9082690e-13 1.8236204e-12 + 7.5880666e-13 3.2865840e-12 5.0051788e-13 1.8724046e-12 + 7.4455845e-13 3.2033671e-12 5.1007476e-13 1.9208478e-12 + 7.3101725e-13 3.1247980e-12 5.1950384e-13 1.9689643e-12 + 7.1812741e-13 3.0504835e-12 5.2881094e-13 2.0167674e-12 + 7.0583919e-13 2.9800758e-12 5.3800147e-13 2.0642694e-12 + 6.9410795e-13 2.9132630e-12 5.4708042e-13 2.1114818e-12 + 6.8289352e-13 2.8497670e-12 5.5605244e-13 2.1584154e-12 + 6.7215962e-13 2.7893370e-12 5.6492187e-13 2.2050801e-12 + 6.6187345e-13 2.7317484e-12 5.7369274e-13 2.2514854e-12 + 6.5200519e-13 2.6767981e-12 5.8236884e-13 2.2976402e-12 + 6.4252772e-13 2.6243015e-12 5.9095371e-13 2.3435526e-12 + 6.3341632e-13 2.5740926e-12 5.9945067e-13 2.3892307e-12 + 6.2464835e-13 2.5260186e-12 6.0786285e-13 2.4346816e-12 + 6.1620309e-13 2.4799408e-12 6.1619318e-13 2.4799124e-12 + 2.3697538e-12 1.5070248e-11 1.5106006e-13 3.7755270e-13 + 2.0885723e-12 1.2759988e-11 1.7226575e-13 4.4896130e-13 + 1.8822250e-12 1.1117926e-11 1.9174518e-13 5.1736251e-13 + 1.7229798e-12 9.8853182e-12 2.0988106e-13 5.8330927e-13 + 1.5955549e-12 8.9228518e-12 2.2693356e-13 6.4720013e-13 + 1.4907684e-12 8.1485443e-12 2.4308896e-13 7.0933421e-13 + 1.4027381e-12 7.5108628e-12 2.5848587e-13 7.6994300e-13 + 1.3275048e-12 6.9757055e-12 2.7323066e-13 8.2921015e-13 + 1.2622957e-12 6.5195714e-12 2.8740705e-13 8.8728438e-13 + 1.2051059e-12 6.1257066e-12 3.0108228e-13 9.4428824e-13 + 1.1544458e-12 5.7818385e-12 3.1431136e-13 1.0003242e-12 + 1.1091831e-12 5.4787568e-12 3.2713997e-13 1.0554790e-12 + 1.0684406e-12 5.2094079e-12 3.3960652e-13 1.1098268e-12 + 1.0315264e-12 4.9682974e-12 3.5174365e-13 1.1634318e-12 + 9.9788744e-13 4.7510763e-12 3.6357941e-13 1.2163498e-12 + 9.6707516e-13 4.5542574e-12 3.7513805e-13 1.2686297e-12 + 9.3872186e-13 4.3750084e-12 3.8644077e-13 1.3203148e-12 + 9.1252289e-13 4.2110051e-12 3.9750614e-13 1.3714434e-12 + 8.8822347e-13 4.0603213e-12 4.0835060e-13 1.4220497e-12 + 8.6560873e-13 3.9213454e-12 4.1898877e-13 1.4721644e-12 + 8.4449604e-13 3.7927233e-12 4.2943370e-13 1.5218153e-12 + 8.2472912e-13 3.6732987e-12 4.3969711e-13 1.5710273e-12 + 8.0617331e-13 3.5620891e-12 4.4978958e-13 1.6198234e-12 + 7.8871196e-13 3.4582455e-12 4.5972067e-13 1.6682241e-12 + 7.7224341e-13 3.3610353e-12 4.6949910e-13 1.7162486e-12 + 7.5667864e-13 3.2698216e-12 4.7913280e-13 1.7639143e-12 + 7.4193931e-13 3.1840465e-12 4.8862905e-13 1.8112372e-12 + 7.2795620e-13 3.1032212e-12 4.9799452e-13 1.8582322e-12 + 7.1466788e-13 3.0269139e-12 5.0723536e-13 1.9049130e-12 + 7.0201962e-13 2.9547436e-12 5.1635725e-13 1.9512923e-12 + 6.8996250e-13 2.8863705e-12 5.2536543e-13 1.9973820e-12 + 6.7845261e-13 2.8214909e-12 5.3426479e-13 2.0431931e-12 + 6.6745046e-13 2.7598353e-12 5.4305985e-13 2.0887360e-12 + 6.5692040e-13 2.7011601e-12 5.5175484e-13 2.1340202e-12 + 6.4683013e-13 2.6452459e-12 5.6035369e-13 2.1790548e-12 + 6.3715036e-13 2.5918959e-12 5.6886009e-13 2.2238484e-12 + 6.2785444e-13 2.5409307e-12 5.7727749e-13 2.2684087e-12 + 6.1891804e-13 2.4921875e-12 5.8560913e-13 2.3127435e-12 + 6.1031893e-13 2.4455194e-12 5.9385805e-13 2.3568597e-12 + 6.0203673e-13 2.4007913e-12 6.0202713e-13 2.4007641e-12 + 2.3270676e-12 1.4648558e-11 1.4672103e-13 3.6330215e-13 + 2.0500485e-12 1.2399227e-11 1.6742634e-13 4.3229489e-13 + 1.8468210e-12 1.0800780e-11 1.8645387e-13 4.9841339e-13 + 1.6900292e-12 9.6011238e-12 2.0417478e-13 5.6218383e-13 + 1.5646003e-12 8.6645354e-12 2.2084159e-13 6.2398602e-13 + 1.4614796e-12 7.9111569e-12 2.3663522e-13 6.8410537e-13 + 1.3748674e-12 7.2907953e-12 2.5169043e-13 7.4276300e-13 + 1.3008606e-12 6.7702396e-12 2.6611067e-13 8.0013444e-13 + 1.2367265e-12 6.3266008e-12 2.7997737e-13 8.5636193e-13 + 1.1804890e-12 5.9435694e-12 2.9335594e-13 9.1156268e-13 + 1.1306805e-12 5.6091943e-12 3.0629992e-13 9.6583473e-13 + 1.0861855e-12 5.3145068e-12 3.1885374e-13 1.0192611e-12 + 1.0461397e-12 5.0526434e-12 3.3105477e-13 1.0719129e-12 + 1.0098616e-12 4.8182543e-12 3.4293480e-13 1.1238514e-12 + 9.7680647e-13 4.6071061e-12 3.5452112e-13 1.1751302e-12 + 9.4653256e-13 4.4158063e-12 3.6583736e-13 1.2257963e-12 + 9.1867782e-13 4.2415961e-12 3.7690414e-13 1.2758909e-12 + 8.9294229e-13 4.0822157e-12 3.8773959e-13 1.3254508e-12 + 8.6907515e-13 3.9357893e-12 3.9835970e-13 1.3745091e-12 + 8.4686490e-13 3.8007506e-12 4.0877872e-13 1.4230950e-12 + 8.2613178e-13 3.6757781e-12 4.1900937e-13 1.4712352e-12 + 8.0672199e-13 3.5597515e-12 4.2906307e-13 1.5189537e-12 + 7.8850303e-13 3.4517122e-12 4.3895012e-13 1.5662723e-12 + 7.7136010e-13 3.3508351e-12 4.4867984e-13 1.6132111e-12 + 7.5519318e-13 3.2564084e-12 4.5826073e-13 1.6597881e-12 + 7.3991468e-13 3.1678104e-12 4.6770052e-13 1.7060203e-12 + 7.2544756e-13 3.0845004e-12 4.7700628e-13 1.7519229e-12 + 7.1172370e-13 3.0060026e-12 4.8618453e-13 1.7975102e-12 + 6.9868268e-13 2.9318962e-12 4.9524126e-13 1.8427954e-12 + 6.8627067e-13 2.8618111e-12 5.0418198e-13 1.8877907e-12 + 6.7443955e-13 2.7954164e-12 5.1301182e-13 1.9325075e-12 + 6.6314614e-13 2.7324184e-12 5.2173553e-13 1.9769563e-12 + 6.5235161e-13 2.6725529e-12 5.3035751e-13 2.0211472e-12 + 6.4202087e-13 2.6155840e-12 5.3888189e-13 2.0650892e-12 + 6.3212220e-13 2.5612985e-12 5.4731250e-13 2.1087912e-12 + 6.2262678e-13 2.5095048e-12 5.5565293e-13 2.1522612e-12 + 6.1350840e-13 2.4600287e-12 5.6390655e-13 2.1955069e-12 + 6.0474315e-13 2.4127115e-12 5.7207651e-13 2.2385355e-12 + 5.9630917e-13 2.3674104e-12 5.8016579e-13 2.2813539e-12 + 5.8818644e-13 2.3239945e-12 5.8817716e-13 2.3239684e-12 + 2.2853397e-12 1.4238140e-11 1.4248635e-13 3.4953951e-13 + 2.0123867e-12 1.2048183e-11 1.6270164e-13 4.1619076e-13 + 1.8122075e-12 1.0492237e-11 1.8128666e-13 4.8009607e-13 + 1.6578133e-12 9.3246868e-12 1.9860128e-13 5.4175592e-13 + 1.5343352e-12 8.4133097e-12 2.1489051e-13 6.0153207e-13 + 1.4328426e-12 7.6803202e-12 2.3033003e-13 6.5969673e-13 + 1.3476165e-12 7.0768293e-12 2.4505078e-13 7.1646100e-13 + 1.2748086e-12 6.5704936e-12 2.5915334e-13 7.7199261e-13 + 1.2117252e-12 6.1390248e-12 2.7271691e-13 8.2642753e-13 + 1.1564189e-12 5.7665412e-12 2.8580515e-13 8.7987786e-13 + 1.1074430e-12 5.4414092e-12 2.9847010e-13 9.3243738e-13 + 1.0636986e-12 5.1548947e-12 3.1075501e-13 9.8418553e-13 + 1.0243339e-12 4.9003194e-12 3.2269623e-13 1.0351903e-12 + 9.8867777e-13 4.6724734e-12 3.3432469e-13 1.0855105e-12 + 9.5619344e-13 4.4672376e-12 3.4566696e-13 1.1351974e-12 + 9.2644592e-13 4.2813086e-12 3.5674603e-13 1.1842958e-12 + 8.9907863e-13 4.1120029e-12 3.6758199e-13 1.2328455e-12 + 8.7379623e-13 3.9571220e-12 3.7819249e-13 1.2808818e-12 + 8.5035176e-13 3.8148388e-12 3.8859311e-13 1.3284361e-12 + 8.2853702e-13 3.6836303e-12 3.9879773e-13 1.3755366e-12 + 8.0817507e-13 3.5622111e-12 4.0881874e-13 1.4222090e-12 + 7.8911451e-13 3.4494908e-12 4.1866726e-13 1.4684762e-12 + 7.7122495e-13 3.3445366e-12 4.2835334e-13 1.5143593e-12 + 7.5439341e-13 3.2465468e-12 4.3788607e-13 1.5598772e-12 + 7.3852148e-13 3.1548272e-12 4.4727370e-13 1.6050476e-12 + 7.2352297e-13 3.0687751e-12 4.5652377e-13 1.6498865e-12 + 7.0932206e-13 2.9878633e-12 4.6564319e-13 1.6944087e-12 + 6.9585176e-13 2.9116290e-12 4.7463829e-13 1.7386278e-12 + 6.8305262e-13 2.8396641e-12 4.8351490e-13 1.7825564e-12 + 6.7087168e-13 2.7716070e-12 4.9227840e-13 1.8262064e-12 + 6.5926161e-13 2.7071374e-12 5.0093378e-13 1.8695886e-12 + 6.4817993e-13 2.6459687e-12 5.0948567e-13 1.9127132e-12 + 6.3758845e-13 2.5878442e-12 5.1793836e-13 1.9555896e-12 + 6.2745267e-13 2.5325354e-12 5.2629586e-13 1.9982268e-12 + 6.1774139e-13 2.4798341e-12 5.3456192e-13 2.0406331e-12 + 6.0842627e-13 2.4295540e-12 5.4274001e-13 2.0828163e-12 + 5.9948154e-13 2.3815255e-12 5.5083344e-13 2.1247838e-12 + 5.9088369e-13 2.3355958e-12 5.5884527e-13 2.1665425e-12 + 5.8261123e-13 2.2916241e-12 5.6677838e-13 2.2080989e-12 + 5.7464447e-13 2.2494846e-12 5.7463552e-13 2.2494591e-12 + 2.2445435e-12 1.3838695e-11 1.3835375e-13 3.3624962e-13 + 1.9755631e-12 1.1706598e-11 1.5808916e-13 4.0063163e-13 + 1.7783632e-12 1.0192070e-11 1.7624083e-13 4.6239130e-13 + 1.6263124e-12 9.0557997e-12 1.9315762e-13 5.2200441e-13 + 1.5047412e-12 8.1689859e-12 2.0907717e-13 5.7981541e-13 + 1.4048401e-12 7.4558588e-12 2.2417002e-13 6.3608374e-13 + 1.3209689e-12 6.8687991e-12 2.3856336e-13 6.9101085e-13 + 1.2493331e-12 6.3763119e-12 2.5235496e-13 7.4475695e-13 + 1.1872771e-12 5.9566950e-12 2.6562182e-13 7.9745198e-13 + 1.1328812e-12 5.5944835e-12 2.7842586e-13 8.4920312e-13 + 1.0847195e-12 5.2783501e-12 2.9081772e-13 9.0010005e-13 + 1.0417090e-12 4.9997956e-12 3.0283944e-13 9.5021876e-13 + 1.0030104e-12 4.7523150e-12 3.1452639e-13 9.9962431e-13 + 9.6796246e-13 4.5308380e-12 3.2590867e-13 1.0483730e-12 + 9.3603630e-13 4.3313573e-12 3.3701212e-13 1.0965137e-12 + 9.0680351e-13 4.1506563e-12 3.4785913e-13 1.1440897e-12 + 8.7991289e-13 3.9861254e-12 3.5846924e-13 1.1911388e-12 + 8.5507360e-13 3.8356228e-12 3.6885963e-13 1.2376949e-12 + 8.3204247e-13 3.6973719e-12 3.7904549e-13 1.2837882e-12 + 8.1061452e-13 3.5698906e-12 3.8904033e-13 1.3294458e-12 + 7.9061556e-13 3.4519296e-12 3.9885622e-13 1.3746920e-12 + 7.7189656e-13 3.3424262e-12 4.0850401e-13 1.4195491e-12 + 7.5432918e-13 3.2404739e-12 4.1799345e-13 1.4640372e-12 + 7.3780222e-13 3.1452925e-12 4.2733343e-13 1.5081745e-12 + 7.2221882e-13 3.0562076e-12 4.3653197e-13 1.5519779e-12 + 7.0749418e-13 2.9726317e-12 4.4559643e-13 1.5954627e-12 + 6.9355368e-13 2.8940532e-12 4.5453353e-13 1.6386432e-12 + 6.8033141e-13 2.8200210e-12 4.6334943e-13 1.6815325e-12 + 6.6776886e-13 2.7501386e-12 4.7204982e-13 1.7241426e-12 + 6.5581395e-13 2.6840550e-12 4.8063994e-13 1.7664849e-12 + 6.4442009e-13 2.6214579e-12 4.8912464e-13 1.8085697e-12 + 6.3354553e-13 2.5620691e-12 4.9750843e-13 1.8504070e-12 + 6.2315267e-13 2.5056383e-12 5.0579551e-13 1.8920056e-12 + 6.1320761e-13 2.4519436e-12 5.1398975e-13 1.9333743e-12 + 6.0367962e-13 2.4007832e-12 5.2209483e-13 1.9745210e-12 + 5.9454087e-13 2.3519750e-12 5.3011412e-13 2.0154531e-12 + 5.8576600e-13 2.3053546e-12 5.3805084e-13 2.0561778e-12 + 5.7733189e-13 2.2607732e-12 5.4590798e-13 2.0967017e-12 + 5.6921741e-13 2.2180950e-12 5.5368835e-13 2.1370310e-12 + 5.6140322e-13 2.1771959e-12 5.6139461e-13 2.1771717e-12 + 2.2046532e-12 1.3449932e-11 1.3432105e-13 3.2341772e-13 + 1.9395549e-12 1.1374229e-11 1.5358644e-13 3.8560070e-13 + 1.7452670e-12 9.9000551e-12 1.7131372e-13 4.4528034e-13 + 1.5955071e-12 8.7942645e-12 1.8784091e-13 5.0290879e-13 + 1.4758001e-12 7.9313799e-12 2.0339849e-13 5.5881378e-13 + 1.3774549e-12 7.2375979e-12 2.1815193e-13 6.1324251e-13 + 1.2949085e-12 6.6665434e-12 2.3222474e-13 6.6638711e-13 + 1.2244189e-12 6.1875454e-12 2.4571191e-13 7.1840052e-13 + 1.1633676e-12 5.7794706e-12 2.5868832e-13 7.6940689e-13 + 1.1098620e-12 5.4272610e-12 2.7121415e-13 8.1950865e-13 + 1.0624967e-12 5.1198912e-12 2.8333867e-13 8.6879154e-13 + 1.0202039e-12 4.8490847e-12 2.9510277e-13 9.1732822e-13 + 9.8215674e-13 4.6085106e-12 3.0654086e-13 9.6518094e-13 + 9.4770352e-13 4.3932354e-12 3.1768219e-13 1.0124035e-12 + 9.1632325e-13 4.1993568e-12 3.2855192e-13 1.0590428e-12 + 8.8759386e-13 4.0237448e-12 3.3917182e-13 1.1051401e-12 + 8.6116943e-13 3.8638599e-12 3.4956092e-13 1.1507318e-12 + 8.3676352e-13 3.7176175e-12 3.5973593e-13 1.1958502e-12 + 8.1413668e-13 3.5832921e-12 3.6971164e-13 1.2405242e-12 + 7.9308706e-13 3.4594387e-12 3.7950121e-13 1.2847799e-12 + 7.7344317e-13 3.3448417e-12 3.8911638e-13 1.3286407e-12 + 7.5505828e-13 3.2384687e-12 3.9856773e-13 1.3721277e-12 + 7.3780606e-13 3.1394373e-12 4.0786477e-13 1.4152603e-12 + 7.2157705e-13 3.0469890e-12 4.1701613e-13 1.4580560e-12 + 7.0627592e-13 2.9604669e-12 4.2602965e-13 1.5005310e-12 + 6.9181920e-13 2.8793005e-12 4.3491248e-13 1.5426999e-12 + 6.7813345e-13 2.8029918e-12 4.4367117e-13 1.5845765e-12 + 6.6515382e-13 2.7311022e-12 4.5231172e-13 1.6261733e-12 + 6.5282274e-13 2.6632462e-12 4.6083968e-13 1.6675018e-12 + 6.4108895e-13 2.5990819e-12 4.6926014e-13 1.7085730e-12 + 6.2990662e-13 2.5383060e-12 4.7757785e-13 1.7493968e-12 + 6.1923467e-13 2.4806474e-12 4.8579717e-13 1.7899826e-12 + 6.0903613e-13 2.4258647e-12 4.9392219e-13 1.8303392e-12 + 5.9927762e-13 2.3737398e-12 5.0195671e-13 1.8704747e-12 + 5.8992896e-13 2.3240774e-12 5.0990428e-13 1.9103967e-12 + 5.8096274e-13 2.2767006e-12 5.1776821e-13 1.9501125e-12 + 5.7235404e-13 2.2314501e-12 5.2555162e-13 1.9896289e-12 + 5.6408012e-13 2.1881801e-12 5.3325742e-13 2.0289522e-12 + 5.5612021e-13 2.1467590e-12 5.4088835e-13 2.0680885e-12 + 5.4845527e-13 2.1070667e-12 5.4844700e-13 2.1070433e-12 + 2.1656432e-12 1.3071572e-11 1.3038610e-13 3.1102949e-13 + 1.9043394e-12 1.1050824e-11 1.4919112e-13 3.7108163e-13 + 1.7128985e-12 9.6159808e-12 1.6650271e-13 4.2874504e-13 + 1.5653785e-12 8.5398844e-12 1.8264834e-13 4.8444911e-13 + 1.4474942e-12 7.7003114e-12 1.9785145e-13 5.3850559e-13 + 1.3506705e-12 7.0253751e-12 2.1227256e-13 5.9114985e-13 + 1.2694197e-12 6.4699100e-12 2.2603153e-13 6.4256506e-13 + 1.2000511e-12 6.0040476e-12 2.3922066e-13 6.9289715e-13 + 1.1399825e-12 5.6072109e-12 2.5191270e-13 7.4226466e-13 + 1.0873477e-12 5.2647441e-12 2.6416617e-13 7.9076547e-13 + 1.0407612e-12 4.9659051e-12 2.7602896e-13 8.3848153e-13 + 9.9917052e-13 4.7026438e-12 2.8754087e-13 8.8548230e-13 + 9.6176051e-13 4.4687926e-12 2.9873533e-13 9.3182730e-13 + 9.2788903e-13 4.2595549e-12 3.0964082e-13 9.7756800e-13 + 8.9704271e-13 4.0711287e-12 3.2028178e-13 1.0227493e-12 + 8.6880572e-13 3.9004696e-12 3.3067940e-13 1.0674105e-12 + 8.4283732e-13 3.7451066e-12 3.4085218e-13 1.1115866e-12 + 8.1885535e-13 3.6030123e-12 3.5081640e-13 1.1553085e-12 + 7.9662401e-13 3.4725057e-12 3.6058645e-13 1.1986040e-12 + 7.7594451e-13 3.3521820e-12 3.7017513e-13 1.2414979e-12 + 7.5664799e-13 3.2408595e-12 3.7959388e-13 1.2840126e-12 + 7.3858999e-13 3.1375325e-12 3.8885299e-13 1.3261685e-12 + 7.2164612e-13 3.0413434e-12 3.9796174e-13 1.3679841e-12 + 7.0570863e-13 2.9515540e-12 4.0692851e-13 1.4094762e-12 + 6.9068367e-13 2.8675252e-12 4.1576096e-13 1.4506603e-12 + 6.7648909e-13 2.7887031e-12 4.2446604e-13 1.4915505e-12 + 6.6305261e-13 2.7146021e-12 4.3305013e-13 1.5321599e-12 + 6.5031038e-13 2.6447970e-12 4.4151909e-13 1.5725005e-12 + 6.3820577e-13 2.5789117e-12 4.4987830e-13 1.6125835e-12 + 6.2668832e-13 2.5166141e-12 4.5813274e-13 1.6524192e-12 + 6.1571296e-13 2.4576097e-12 4.6628701e-13 1.6920172e-12 + 6.0523925e-13 2.4016354e-12 4.7434538e-13 1.7313866e-12 + 5.9523083e-13 2.3484544e-12 4.8231182e-13 1.7705357e-12 + 5.8565486e-13 2.2978567e-12 4.9019004e-13 1.8094724e-12 + 5.7648164e-13 2.2496510e-12 4.9798348e-13 1.8482039e-12 + 5.6768423e-13 2.2036668e-12 5.0569539e-13 1.8867372e-12 + 5.5923811e-13 2.1597479e-12 5.1332877e-13 1.9250789e-12 + 5.5112093e-13 2.1177529e-12 5.2088649e-13 1.9632349e-12 + 5.4331224e-13 2.0775546e-12 5.2837120e-13 2.0012111e-12 + 5.3579334e-13 2.0390350e-12 5.3578542e-13 2.0390130e-12 + 2.1274884e-12 1.2703341e-11 1.2654677e-13 2.9907101e-13 + 1.8698943e-12 1.0736153e-11 1.4490084e-13 3.5705857e-13 + 1.6812374e-12 9.3396267e-12 1.6180528e-13 4.1276771e-13 + 1.5359078e-12 8.2924663e-12 1.7757719e-13 4.6660601e-13 + 1.4198061e-12 7.4756048e-12 1.9243313e-13 5.1886984e-13 + 1.3244705e-12 6.8190255e-12 2.0652878e-13 5.6978322e-13 + 1.2444869e-12 6.2787436e-12 2.1998045e-13 6.1952067e-13 + 1.1762149e-12 5.8256752e-12 2.3287775e-13 6.6822137e-13 + 1.1171076e-12 5.4397846e-12 2.4529135e-13 7.1599845e-13 + 1.0653248e-12 5.1068020e-12 2.5727814e-13 7.6294541e-13 + 1.0195002e-12 4.8162711e-12 2.6888469e-13 8.0914054e-13 + 9.7859633e-13 4.5603526e-12 2.8014967e-13 8.5465024e-13 + 9.4180965e-13 4.3330495e-12 2.9110562e-13 8.9953140e-13 + 9.0850728e-13 4.1296869e-12 3.0178021e-13 9.4383322e-13 + 8.7818333e-13 3.9465686e-12 3.1219721e-13 9.8759861e-13 + 8.5042807e-13 3.7807309e-12 3.2237724e-13 1.0308653e-12 + 8.2490583e-13 3.6297700e-12 3.3233830e-13 1.0736666e-12 + 8.0133866e-13 3.4917114e-12 3.4209619e-13 1.1160322e-12 + 7.7949429e-13 3.3649215e-12 3.5166494e-13 1.1579886e-12 + 7.5917695e-13 3.2480335e-12 3.6105700e-13 1.1995596e-12 + 7.4022034e-13 3.1398964e-12 3.7028350e-13 1.2407667e-12 + 7.2248221e-13 3.0395339e-12 3.7935446e-13 1.2816294e-12 + 7.0584008e-13 2.9461099e-12 3.8827891e-13 1.3221654e-12 + 6.9018786e-13 2.8589068e-12 3.9706503e-13 1.3623909e-12 + 6.7543316e-13 2.7773047e-12 4.0572025e-13 1.4023206e-12 + 6.6149510e-13 2.7007630e-12 4.1425136e-13 1.4419682e-12 + 6.4830253e-13 2.6288101e-12 4.2266456e-13 1.4813461e-12 + 6.3579262e-13 2.5610323e-12 4.3096557e-13 1.5204659e-12 + 6.2390962e-13 2.4970643e-12 4.3915962e-13 1.5593383e-12 + 6.1260388e-13 2.4365829e-12 4.4725155e-13 1.5979732e-12 + 6.0183104e-13 2.3793014e-12 4.5524587e-13 1.6363798e-12 + 5.9155132e-13 2.3249643e-12 4.6314671e-13 1.6745668e-12 + 5.8172894e-13 2.2733417e-12 4.7095795e-13 1.7125422e-12 + 5.7233159e-13 2.2242286e-12 4.7868319e-13 1.7503134e-12 + 5.6333006e-13 2.1774404e-12 4.8632579e-13 1.7878876e-12 + 5.5469784e-13 2.1328098e-12 4.9388891e-13 1.8252714e-12 + 5.4641082e-13 2.0901856e-12 5.0137547e-13 1.8624709e-12 + 5.3844701e-13 2.0494310e-12 5.0878826e-13 1.8994921e-12 + 5.3078632e-13 2.0104208e-12 5.1612987e-13 1.9363405e-12 + 5.2341034e-13 1.9730422e-12 5.2340276e-13 1.9730213e-12 + 2.0901642e-12 1.2344971e-11 1.2280103e-13 2.8752879e-13 + 1.8361978e-12 1.0429981e-11 1.4071333e-13 3.4351610e-13 + 1.6502637e-12 9.0707949e-12 1.5721893e-13 3.9733119e-13 + 1.5070767e-12 8.0518272e-12 1.7262475e-13 4.4936065e-13 + 1.3927186e-12 7.2570882e-12 1.8714065e-13 4.9988612e-13 + 1.2988388e-12 6.6183902e-12 2.0091754e-13 5.4912070e-13 + 1.2200950e-12 6.0928985e-12 2.1406827e-13 5.9723059e-13 + 1.1528959e-12 5.6522917e-12 2.2667978e-13 6.4434843e-13 + 1.0947292e-12 5.2770597e-12 2.3882073e-13 6.9058219e-13 + 1.0437800e-12 4.9533107e-12 2.5054639e-13 7.3602109e-13 + 9.9870094e-13 4.6708692e-12 2.6190202e-13 7.8073993e-13 + 9.5846908e-13 4.4221024e-12 2.7292522e-13 8.2480215e-13 + 9.2229230e-13 4.2011725e-12 2.8364762e-13 8.6826212e-13 + 8.8954678e-13 4.0035295e-12 2.9409613e-13 9.1116686e-13 + 8.5973397e-13 3.8255775e-12 3.0429387e-13 9.5355741e-13 + 8.3245011e-13 3.6644324e-12 3.1426086e-13 9.9546981e-13 + 8.0736447e-13 3.5177548e-12 3.2401463e-13 1.0369359e-12 + 7.8420322e-13 3.3836245e-12 3.3357054e-13 1.0779842e-12 + 7.6273756e-13 3.2604516e-12 3.4294223e-13 1.1186399e-12 + 7.4277466e-13 3.1469059e-12 3.5214181e-13 1.1589259e-12 + 7.2415072e-13 3.0418695e-12 3.6118013e-13 1.1988628e-12 + 7.0672565e-13 2.9443904e-12 3.7006691e-13 1.2384692e-12 + 6.9037884e-13 2.8536568e-12 3.7881096e-13 1.2777620e-12 + 6.7500583e-13 2.7689713e-12 3.8742024e-13 1.3167568e-12 + 6.6051563e-13 2.6897296e-12 3.9590198e-13 1.3554678e-12 + 6.4682863e-13 2.6154061e-12 4.0426279e-13 1.3939079e-12 + 6.3387479e-13 2.5455428e-12 4.1250872e-13 1.4320891e-12 + 6.2159225e-13 2.4797370e-12 4.2064532e-13 1.4700225e-12 + 6.0992614e-13 2.4176337e-12 4.2867770e-13 1.5077184e-12 + 5.9882760e-13 2.3589190e-12 4.3661057e-13 1.5451862e-12 + 5.8825297e-13 2.3033135e-12 4.4444830e-13 1.5824349e-12 + 5.7816310e-13 2.2505682e-12 4.5219494e-13 1.6194726e-12 + 5.6852279e-13 2.2004614e-12 4.5985426e-13 1.6563070e-12 + 5.5930026e-13 2.1527928e-12 4.6742975e-13 1.6929454e-12 + 5.5046676e-13 2.1073825e-12 4.7492470e-13 1.7293946e-12 + 5.4199622e-13 2.0640678e-12 4.8234217e-13 1.7656608e-12 + 5.3386492e-13 2.0227033e-12 4.8968503e-13 1.8017500e-12 + 5.2605123e-13 1.9831541e-12 4.9695596e-13 1.8376679e-12 + 5.1853538e-13 1.9453004e-12 5.0415751e-13 1.8734198e-12 + 5.1129929e-13 1.9090308e-12 5.1129205e-13 1.9090106e-12 + 2.0536462e-12 1.1996204e-11 1.1914687e-13 2.7638969e-13 + 1.8032283e-12 1.0132083e-11 1.3662636e-13 3.3043927e-13 + 1.6199580e-12 8.8092862e-12 1.5274123e-13 3.8241880e-13 + 1.4788670e-12 7.8177822e-12 1.6778842e-13 4.3269476e-13 + 1.3662149e-12 7.0445976e-12 1.8197121e-13 4.8153461e-13 + 1.2737596e-12 6.4233190e-12 1.9543587e-13 5.2914100e-13 + 1.1962291e-12 5.9122303e-12 2.0829184e-13 5.7567210e-13 + 1.1300800e-12 5.4837579e-12 2.2062347e-13 6.2125429e-13 + 1.0728338e-12 5.1189072e-12 2.3249740e-13 6.6599050e-13 + 1.0227004e-12 4.8041521e-12 2.4396733e-13 7.0996588e-13 + 9.7835093e-13 4.5295850e-12 2.5507723e-13 7.5325184e-13 + 9.3877673e-13 4.2877806e-12 2.6586365e-13 7.9590898e-13 + 9.0319682e-13 4.0730535e-12 2.7635733e-13 8.3798923e-13 + 8.7099629e-13 3.8809786e-12 2.8658445e-13 8.7953754e-13 + 8.4168372e-13 3.7080553e-12 2.9656746e-13 9.2059312e-13 + 8.1486125e-13 3.5514782e-12 3.0632586e-13 9.6119042e-13 + 7.9020294e-13 3.4089697e-12 3.1587665e-13 1.0013599e-12 + 7.6743902e-13 3.2786623e-12 3.2523480e-13 1.0411288e-12 + 7.4634407e-13 3.1590088e-12 3.3441355e-13 1.0805212e-12 + 7.2672812e-13 3.0487167e-12 3.4342469e-13 1.1195591e-12 + 7.0842983e-13 2.9466967e-12 3.5227876e-13 1.1582621e-12 + 6.9131122e-13 2.8520236e-12 3.6098524e-13 1.1966480e-12 + 6.7525350e-13 2.7639083e-12 3.6955268e-13 1.2347331e-12 + 6.6015379e-13 2.6816712e-12 3.7798883e-13 1.2725322e-12 + 6.4592252e-13 2.6047255e-12 3.8630074e-13 1.3100590e-12 + 6.3248127e-13 2.5325603e-12 3.9449483e-13 1.3473258e-12 + 6.1976111e-13 2.4647301e-12 4.0257700e-13 1.3843442e-12 + 6.0770114e-13 2.4008424e-12 4.1055264e-13 1.4211247e-12 + 5.9624733e-13 2.3405528e-12 4.1842674e-13 1.4576772e-12 + 5.8535160e-13 2.2835561e-12 4.2620388e-13 1.4940108e-12 + 5.7497099e-13 2.2295805e-12 4.3388832e-13 1.5301339e-12 + 5.6506697e-13 2.1783839e-12 4.4148399e-13 1.5660546e-12 + 5.5560488e-13 2.1297508e-12 4.4899456e-13 1.6017801e-12 + 5.4655347e-13 2.0834864e-12 4.5642346e-13 1.6373173e-12 + 5.3788446e-13 2.0394161e-12 4.6377385e-13 1.6726728e-12 + 5.2957219e-13 1.9973822e-12 4.7104874e-13 1.7078526e-12 + 5.2159332e-13 1.9572413e-12 4.7825090e-13 1.7428625e-12 + 5.1392658e-13 1.9188648e-12 4.8538296e-13 1.7777078e-12 + 5.0655254e-13 1.8821352e-12 4.9244738e-13 1.8123936e-12 + 4.9945338e-13 1.8469437e-12 4.9944649e-13 1.8469247e-12 + 2.0179107e-12 1.1656787e-11 1.1558232e-13 2.6564099e-13 + 1.7709647e-12 9.8422434e-12 1.3263775e-13 3.1781351e-13 + 1.5903009e-12 8.5549032e-12 1.4836980e-13 3.6801433e-13 + 1.4512609e-12 7.5901564e-12 1.6306563e-13 4.1659055e-13 + 1.3402785e-12 6.8379704e-12 1.7692207e-13 4.6379606e-13 + 1.2492174e-12 6.2336590e-12 1.9008086e-13 5.0982343e-13 + 1.1728745e-12 5.7366016e-12 2.0264808e-13 5.5482315e-13 + 1.1077532e-12 5.3199471e-12 2.1470556e-13 5.9891556e-13 + 1.0514081e-12 4.9652043e-12 2.2631796e-13 6.4219873e-13 + 1.0020732e-12 4.6592042e-12 2.3753742e-13 6.8475390e-13 + 9.5843789e-13 4.3923059e-12 2.4840665e-13 7.2664919e-13 + 9.1950743e-13 4.1572789e-12 2.5896116e-13 7.6794247e-13 + 8.8451179e-13 3.9485918e-12 2.6923084e-13 8.0868334e-13 + 8.5284474e-13 3.7619370e-12 2.7924112e-13 8.4891474e-13 + 8.2402189e-13 3.5939086e-12 2.8901384e-13 8.8867413e-13 + 7.9765110e-13 3.4417765e-12 2.9856794e-13 9.2799444e-13 + 7.7341117e-13 3.3033257e-12 3.0791996e-13 9.6690480e-13 + 7.5103625e-13 3.1767386e-12 3.1708444e-13 1.0054311e-12 + 7.3030425e-13 3.0605104e-12 3.2607425e-13 1.0435966e-12 + 7.1102799e-13 2.9533834e-12 3.3490087e-13 1.0814222e-12 + 6.9304854e-13 2.8542986e-12 3.4357453e-13 1.1189266e-12 + 6.7622997e-13 2.7623562e-12 3.5210446e-13 1.1561270e-12 + 6.6045529e-13 2.6767880e-12 3.6049897e-13 1.1930388e-12 + 6.4562317e-13 2.5969330e-12 3.6876560e-13 1.2296763e-12 + 6.3164539e-13 2.5222215e-12 3.7691122e-13 1.2660525e-12 + 6.1844476e-13 2.4521557e-12 3.8494207e-13 1.3021793e-12 + 6.0595338e-13 2.3863021e-12 3.9286389e-13 1.3380678e-12 + 5.9411130e-13 2.3242806e-12 4.0068193e-13 1.3737280e-12 + 5.8286534e-13 2.2657556e-12 4.0840105e-13 1.4091693e-12 + 5.7216818e-13 2.2104295e-12 4.1602570e-13 1.4444006e-12 + 5.6197752e-13 2.1580390e-12 4.2356004e-13 1.4794300e-12 + 5.5225544e-13 2.1083492e-12 4.3100789e-13 1.5142649e-12 + 5.4296785e-13 2.0611489e-12 4.3837282e-13 1.5489125e-12 + 5.3408398e-13 2.0162501e-12 4.4565816e-13 1.5833795e-12 + 5.2557601e-13 1.9734830e-12 4.5286701e-13 1.6176719e-12 + 5.1741870e-13 1.9326936e-12 4.6000228e-13 1.6517956e-12 + 5.0958908e-13 1.8937435e-12 4.6706667e-13 1.6857562e-12 + 5.0206623e-13 1.8565074e-12 4.7406275e-13 1.7195587e-12 + 4.9483103e-13 1.8208699e-12 4.8099291e-13 1.7532081e-12 + 4.8786596e-13 1.7867269e-12 4.8785941e-13 1.7867089e-12 + 1.9829341e-12 1.1326475e-11 1.1210547e-13 2.5527030e-13 + 1.7393859e-12 9.5602455e-12 1.2874536e-13 3.0562471e-13 + 1.5612733e-12 8.3074527e-12 1.4410232e-13 3.5410203e-13 + 1.4242411e-12 7.3687807e-12 1.5845389e-13 4.0103077e-13 + 1.3148931e-12 6.6370500e-12 1.7199056e-13 4.4665173e-13 + 1.2251969e-12 6.0492651e-12 1.8484967e-13 4.9114788e-13 + 1.1500168e-12 5.5658736e-12 1.9713400e-13 5.3466230e-13 + 1.0859018e-12 5.1607279e-12 2.0892291e-13 5.7730951e-13 + 1.0304390e-12 4.8158290e-12 2.2027912e-13 6.1918293e-13 + 9.8188585e-13 4.5183550e-12 2.3125322e-13 6.6035997e-13 + 9.3894976e-13 4.2589219e-12 2.4188670e-13 7.0090565e-13 + 9.0064959e-13 4.0304940e-12 2.5221405e-13 7.4087516e-13 + 8.6622600e-13 3.8276848e-12 2.6226430e-13 7.8031588e-13 + 8.3508131e-13 3.6463062e-12 2.7206218e-13 8.1926880e-13 + 8.0673799e-13 3.4830425e-12 2.8162891e-13 8.5776971e-13 + 7.8080949e-13 3.3352371e-12 2.9098290e-13 8.9585007e-13 + 7.5697926e-13 3.2007354e-12 3.0014022e-13 9.3353771e-13 + 7.3498528e-13 3.0777692e-12 3.0911501e-13 9.7085740e-13 + 7.1460870e-13 2.9648746e-12 3.1791978e-13 1.0078313e-12 + 6.9566510e-13 2.8608281e-12 3.2656567e-13 1.0444794e-12 + 6.7799788e-13 2.7645990e-12 3.3506264e-13 1.0808196e-12 + 6.6147314e-13 2.6753127e-12 3.4341967e-13 1.1168683e-12 + 6.4597563e-13 2.5922225e-12 3.5164483e-13 1.1526404e-12 + 6.3140554e-13 2.5146854e-12 3.5974545e-13 1.1881495e-12 + 6.1767600e-13 2.4421467e-12 3.6772822e-13 1.2234078e-12 + 6.0471097e-13 2.3741234e-12 3.7559921e-13 1.2584270e-12 + 5.9244362e-13 2.3101932e-12 3.8336400e-13 1.2932176e-12 + 5.8081491e-13 2.2499868e-12 3.9102771e-13 1.3277892e-12 + 5.6977249e-13 2.1931773e-12 3.9859505e-13 1.3621508e-12 + 5.5926976e-13 2.1394766e-12 4.0607037e-13 1.3963109e-12 + 5.4926511e-13 2.0886280e-12 4.1345771e-13 1.4302772e-12 + 5.3972120e-13 2.0404022e-12 4.2076079e-13 1.4640570e-12 + 5.3060449e-13 1.9945960e-12 4.2798309e-13 1.4976570e-12 + 5.2188470e-13 1.9510252e-12 4.3512785e-13 1.5310835e-12 + 5.1353444e-13 1.9095253e-12 4.4219808e-13 1.5643426e-12 + 5.0552887e-13 1.8699463e-12 4.4919661e-13 1.5974398e-12 + 4.9784542e-13 1.8321539e-12 4.5612608e-13 1.6303804e-12 + 4.9046349e-13 1.7960259e-12 4.6298898e-13 1.6631692e-12 + 4.8336426e-13 1.7614508e-12 4.6978765e-13 1.6958110e-12 + 4.7653050e-13 1.7283274e-12 4.7652428e-13 1.7283102e-12 + 1.9486933e-12 1.1005022e-11 1.0871445e-13 2.4526563e-13 + 1.7084716e-12 9.2858817e-12 1.2494711e-13 2.9385915e-13 + 1.5328566e-12 8.0667569e-12 1.3993651e-13 3.4066661e-13 + 1.3977902e-12 7.1534872e-12 1.5395073e-13 3.8599861e-13 + 1.2900427e-12 6.4416824e-12 1.6717408e-13 4.3008345e-13 + 1.2016832e-12 5.8699963e-12 1.7973952e-13 4.7309482e-13 + 1.1276419e-12 5.3999130e-12 1.9174667e-13 5.1516871e-13 + 1.0645124e-12 5.0059784e-12 2.0327244e-13 5.5641406e-13 + 1.0099135e-12 4.6706639e-12 2.1437765e-13 5.9691978e-13 + 9.6212604e-13 4.3814929e-12 2.2511138e-13 6.3675964e-13 + 9.1987469e-13 4.1293282e-12 2.3551389e-13 6.7599561e-13 + 8.8219177e-13 3.9073232e-12 2.4561869e-13 7.1468035e-13 + 8.4832844e-13 3.7102370e-12 2.5545398e-13 7.5285905e-13 + 8.1769536e-13 3.5339943e-12 2.6504378e-13 7.9057088e-13 + 7.8982171e-13 3.3753679e-12 2.7440871e-13 8.2784999e-13 + 7.6432644e-13 3.2317742e-12 2.8356665e-13 8.6472642e-13 + 7.4089750e-13 3.1011154e-12 2.9253323e-13 9.0122676e-13 + 7.1927666e-13 2.9816730e-12 3.0132219e-13 9.3737468e-13 + 6.9924822e-13 2.8720219e-12 3.0994568e-13 9.7319135e-13 + 6.8063046e-13 2.7709721e-12 3.1841454e-13 1.0086958e-12 + 6.6326907e-13 2.6775222e-12 3.2673844e-13 1.0439053e-12 + 6.4703212e-13 2.5908210e-12 3.3492610e-13 1.0788354e-12 + 6.3180608e-13 2.5101412e-12 3.4298537e-13 1.1135004e-12 + 6.1749264e-13 2.4348591e-12 3.5092340e-13 1.1479131e-12 + 6.0400623e-13 2.3644341e-12 3.5874666e-13 1.1820855e-12 + 5.9127197e-13 2.2983973e-12 3.6646107e-13 1.2160286e-12 + 5.7922403e-13 2.2363378e-12 3.7407206e-13 1.2497524e-12 + 5.6780430e-13 2.1778963e-12 3.8158460e-13 1.2832662e-12 + 5.5696123e-13 2.1227563e-12 3.8900329e-13 1.3165787e-12 + 5.4664895e-13 2.0706358e-12 3.9633235e-13 1.3496979e-12 + 5.3682648e-13 2.0212861e-12 4.0357570e-13 1.3826311e-12 + 5.2745709e-13 1.9744851e-12 4.1073698e-13 1.4153854e-12 + 5.1850775e-13 1.9300345e-12 4.1781957e-13 1.4479672e-12 + 5.0994866e-13 1.8877555e-12 4.2482662e-13 1.4803826e-12 + 5.0175288e-13 1.8474868e-12 4.3176107e-13 1.5126373e-12 + 4.9389596e-13 1.8090849e-12 4.3862566e-13 1.5447367e-12 + 4.8635568e-13 1.7724181e-12 4.4542298e-13 1.5766857e-12 + 4.7911177e-13 1.7373678e-12 4.5215543e-13 1.6084892e-12 + 4.7214573e-13 1.7038256e-12 4.5882530e-13 1.6401515e-12 + 4.6544061e-13 1.6716931e-12 4.6543471e-13 1.6716769e-12 + 1.9151653e-12 1.0692204e-11 1.0540742e-13 2.3561530e-13 + 1.6782012e-12 9.0189527e-12 1.2124098e-13 2.8250350e-13 + 1.5050323e-12 7.8326319e-12 1.3587016e-13 3.2769318e-13 + 1.3718912e-12 6.9441109e-12 1.4955378e-13 3.7147778e-13 + 1.2657115e-12 6.2517183e-12 1.6247005e-13 4.1407353e-13 + 1.1786615e-12 5.6957139e-12 1.7474770e-13 4.5564526e-13 + 1.1057357e-12 5.2385947e-12 1.8648322e-13 4.9632214e-13 + 1.0435716e-12 4.8555759e-12 1.9775113e-13 5.3620773e-13 + 9.8981908e-13 4.5295950e-12 2.0861038e-13 5.7538665e-13 + 9.4278160e-13 4.2485070e-12 2.1910859e-13 6.1392912e-13 + 9.0120102e-13 4.0034190e-12 2.2928480e-13 6.5189419e-13 + 8.6412277e-13 3.7876674e-12 2.3917155e-13 6.8933206e-13 + 8.3080831e-13 3.5961538e-12 2.4879622e-13 7.2628586e-13 + 8.0067645e-13 3.4249092e-12 2.5818212e-13 7.6279293e-13 + 7.7326295e-13 3.2707967e-12 2.6734932e-13 7.9888590e-13 + 7.4819213e-13 3.1313010e-12 2.7631517e-13 8.3459345e-13 + 7.2515636e-13 3.0043830e-12 2.8509486e-13 8.6994095e-13 + 7.0390110e-13 2.8883696e-12 2.9370174e-13 9.0495101e-13 + 6.8421376e-13 2.7818750e-12 3.0214762e-13 9.3964386e-13 + 6.6591522e-13 2.6837416e-12 3.1044302e-13 9.7403769e-13 + 6.4885345e-13 2.5929952e-12 3.1859735e-13 1.0081489e-12 + 6.3289846e-13 2.5088086e-12 3.2661908e-13 1.0419925e-12 + 6.1793837e-13 2.4304744e-12 3.3451584e-13 1.0755820e-12 + 6.0387636e-13 2.3573853e-12 3.4229457e-13 1.1089298e-12 + 5.9062813e-13 2.2890169e-12 3.4996157e-13 1.1420473e-12 + 5.7811994e-13 2.2249121e-12 3.5752259e-13 1.1749449e-12 + 5.6628696e-13 2.1646728e-12 3.6498290e-13 1.2076323e-12 + 5.5507195e-13 2.1079484e-12 3.7234736e-13 1.2401184e-12 + 5.4442418e-13 2.0544309e-12 3.7962041e-13 1.2724114e-12 + 5.3429848e-13 2.0038475e-12 3.8680618e-13 1.3045190e-12 + 5.2465450e-13 1.9559564e-12 3.9390848e-13 1.3364483e-12 + 5.1545608e-13 1.9105408e-12 4.0093084e-13 1.3682060e-12 + 5.0667071e-13 1.8674077e-12 4.0787657e-13 1.3997983e-12 + 4.9826908e-13 1.8263842e-12 4.1474871e-13 1.4312310e-12 + 4.9022464e-13 1.7873138e-12 4.2155013e-13 1.4625095e-12 + 4.8251335e-13 1.7500563e-12 4.2828351e-13 1.4936390e-12 + 4.7511334e-13 1.7144838e-12 4.3495134e-13 1.5246243e-12 + 4.6800467e-13 1.6804812e-12 4.4155599e-13 1.5554699e-12 + 4.6116913e-13 1.6479433e-12 4.4809967e-13 1.5861800e-12 + 4.5459003e-13 1.6167742e-12 4.5458445e-13 1.6167588e-12 + 1.8823277e-12 1.0387784e-11 1.0218260e-13 2.2630801e-13 + 1.6485546e-12 8.7592555e-12 1.1762497e-13 2.7154482e-13 + 1.4777821e-12 7.6049021e-12 1.3190110e-13 3.1516733e-13 + 1.3465275e-12 6.7404945e-12 1.4526069e-13 3.5745244e-13 + 1.2418840e-12 6.0670138e-12 1.5787600e-13 3.9860481e-13 + 1.1561173e-12 5.5262854e-12 1.6987158e-13 4.3878076e-13 + 1.0842846e-12 5.0817903e-12 1.8134087e-13 4.7810292e-13 + 1.0230664e-12 4.7094017e-12 1.9235604e-13 5.1666969e-13 + 9.7014319e-13 4.3925111e-12 2.0297425e-13 5.5456155e-13 + 9.2384061e-13 4.1192929e-12 2.1324164e-13 5.9184532e-13 + 8.8291731e-13 3.8810947e-12 2.2319609e-13 6.2857721e-13 + 8.4643160e-13 3.6714308e-12 2.3286916e-13 6.6480509e-13 + 8.1365501e-13 3.4853410e-12 2.4228742e-13 7.0057005e-13 + 7.8401433e-13 3.3189625e-12 2.5147352e-13 7.3590773e-13 + 7.5705178e-13 3.1692432e-12 2.6044694e-13 7.7084925e-13 + 7.3239693e-13 3.0337368e-12 2.6922455e-13 8.0542198e-13 + 7.0974648e-13 2.9104587e-12 2.7782109e-13 8.3965015e-13 + 6.8884949e-13 2.7977818e-12 2.8624953e-13 8.7355534e-13 + 6.6949641e-13 2.6943584e-12 2.9452135e-13 9.0715685e-13 + 6.5151071e-13 2.5990631e-12 3.0264677e-13 9.4047207e-13 + 6.3474255e-13 2.5109475e-12 3.1063493e-13 9.7351669e-13 + 6.1906384e-13 2.4292069e-12 3.1849406e-13 1.0063049e-12 + 6.0436437e-13 2.3531543e-12 3.2623157e-13 1.0388498e-12 + 5.9054873e-13 2.2821995e-12 3.3385421e-13 1.0711631e-12 + 5.7753389e-13 2.2158315e-12 3.4136808e-13 1.1032558e-12 + 5.6524723e-13 2.1536059e-12 3.4877880e-13 1.1351378e-12 + 5.5362488e-13 2.0951363e-12 3.5609148e-13 1.1668183e-12 + 5.4261050e-13 2.0400821e-12 3.6331083e-13 1.1983058e-12 + 5.3215411e-13 1.9881430e-12 3.7044119e-13 1.2296083e-12 + 5.2221123e-13 1.9390548e-12 3.7748656e-13 1.2607330e-12 + 5.1274216e-13 1.8925814e-12 3.8445065e-13 1.2916868e-12 + 5.0371129e-13 1.8485129e-12 3.9133690e-13 1.3224761e-12 + 4.9508661e-13 1.8066612e-12 3.9814851e-13 1.3531068e-12 + 4.8683927e-13 1.7668588e-12 4.0488846e-13 1.3835844e-12 + 4.7894315e-13 1.7289533e-12 4.1155953e-13 1.4139141e-12 + 4.7137458e-13 1.6928083e-12 4.1816432e-13 1.4441009e-12 + 4.6411203e-13 1.6582998e-12 4.2470528e-13 1.4741494e-12 + 4.5713588e-13 1.6253158e-12 4.3118470e-13 1.5040639e-12 + 4.5042821e-13 1.5937541e-12 4.3760471e-13 1.5338485e-12 + 4.4397261e-13 1.5635214e-12 4.4396736e-13 1.5635071e-12 + 1.8501579e-12 1.0091549e-11 9.9038233e-14 2.1733272e-13 + 1.6195122e-12 8.5066047e-12 1.1409715e-13 2.6097053e-13 + 1.4510882e-12 7.3833970e-12 1.2802719e-13 3.0307498e-13 + 1.3216826e-12 6.5424847e-12 1.4106918e-13 3.4390715e-13 + 1.2185450e-12 5.8874279e-12 1.5338948e-13 3.8366057e-13 + 1.1340360e-12 5.3615772e-12 1.6510856e-13 4.2248336e-13 + 1.0632749e-12 4.9293796e-12 1.7631687e-13 4.6049189e-13 + 1.0029840e-12 4.5673437e-12 1.8708431e-13 4.9777962e-13 + 9.5087357e-13 4.2593027e-12 1.9746625e-13 5.3442304e-13 + 9.0529132e-13 3.9937472e-12 2.0750740e-13 5.7048570e-13 + 8.6501230e-13 3.7622577e-12 2.1724449e-13 6.0602111e-13 + 8.2910743e-13 3.5585208e-12 2.2670811e-13 6.4107483e-13 + 7.9685810e-13 3.3777099e-12 2.3592407e-13 6.7568604e-13 + 7.6769894e-13 3.2160677e-12 2.4491435e-13 7.0988870e-13 + 7.4117847e-13 3.0706244e-12 2.5369783e-13 7.4371250e-13 + 7.1693139e-13 2.9390004e-12 2.6229093e-13 7.7718355e-13 + 6.9465866e-13 2.8192644e-12 2.7070795e-13 8.1032498e-13 + 6.7411287e-13 2.7098349e-12 2.7896149e-13 8.4315737e-13 + 6.5508744e-13 2.6094004e-12 2.8706271e-13 8.7569915e-13 + 6.3740838e-13 2.5168657e-12 2.9502152e-13 9.0796692e-13 + 6.2092802e-13 2.4313096e-12 3.0284681e-13 9.3997565e-13 + 6.0552012e-13 2.3519486e-12 3.1054656e-13 9.7173894e-13 + 5.9107609e-13 2.2781165e-12 3.1812799e-13 1.0032692e-12 + 5.7750194e-13 2.2092365e-12 3.2559763e-13 1.0345777e-12 + 5.6471587e-13 2.1448142e-12 3.3296144e-13 1.0656748e-12 + 5.5264634e-13 2.0844173e-12 3.4022484e-13 1.0965701e-12 + 5.4123045e-13 2.0276686e-12 3.4739283e-13 1.1272724e-12 + 5.3041271e-13 1.9742386e-12 3.5446997e-13 1.1577898e-12 + 5.2014391e-13 1.9238350e-12 3.6146048e-13 1.1881299e-12 + 5.1038025e-13 1.8762004e-12 3.6836825e-13 1.2182996e-12 + 5.0108262e-13 1.8311055e-12 3.7519689e-13 1.2483055e-12 + 4.9221598e-13 1.7883469e-12 3.8194973e-13 1.2781537e-12 + 4.8374882e-13 1.7477417e-12 3.8862990e-13 1.3078499e-12 + 4.7565271e-13 1.7091263e-12 3.9524029e-13 1.3373993e-12 + 4.6790197e-13 1.6723534e-12 4.0178361e-13 1.3668070e-12 + 4.6047329e-13 1.6372902e-12 4.0826238e-13 1.3960776e-12 + 4.5334548e-13 1.6038163e-12 4.1467899e-13 1.4252156e-12 + 4.4649923e-13 1.5718225e-12 4.2103565e-13 1.4542251e-12 + 4.3991691e-13 1.5412097e-12 4.2733447e-13 1.4831100e-12 + 4.3358235e-13 1.5118875e-12 4.3357740e-13 1.5118741e-12 + 1.8186340e-12 9.8032791e-12 9.5972616e-14 2.0867877e-13 + 1.5910541e-12 8.2608106e-12 1.1065562e-13 2.5076842e-13 + 1.4249328e-12 7.1679559e-12 1.2424638e-13 2.9140252e-13 + 1.2973403e-12 6.3499315e-12 1.3697701e-13 3.3082696e-13 + 1.1956793e-12 5.7128210e-12 1.4900810e-13 3.6922459e-13 + 1.1124038e-12 5.2014641e-12 1.6045612e-13 4.0673564e-13 + 1.0426932e-12 4.7812414e-12 1.7140856e-13 4.4347048e-13 + 9.8331152e-13 4.4292884e-12 1.8193313e-13 4.7951783e-13 + 9.3199812e-13 4.1298649e-12 1.9208343e-13 5.1495035e-13 + 8.8712220e-13 3.8717711e-12 2.0190279e-13 5.4982844e-13 + 8.4747494e-13 3.6468117e-12 2.1142679e-13 5.8420302e-13 + 8.1213964e-13 3.4488445e-12 2.2068511e-13 6.1811744e-13 + 7.8040735e-13 3.2731724e-12 2.2970276e-13 6.5160900e-13 + 7.5172038e-13 3.1161408e-12 2.3850106e-13 6.8471009e-13 + 7.2563342e-13 2.9748591e-12 2.4709836e-13 7.1744898e-13 + 7.0178620e-13 2.8470135e-12 2.5551057e-13 7.4985059e-13 + 6.7988385e-13 2.7307251e-12 2.6375160e-13 7.8193696e-13 + 6.5968242e-13 2.6244550e-12 2.7183368e-13 8.1372775e-13 + 6.4097826e-13 2.5269284e-12 2.7976764e-13 8.4524054e-13 + 6.2359986e-13 2.4370802e-12 2.8756311e-13 8.7649115e-13 + 6.0740167e-13 2.3540141e-12 2.9522872e-13 9.0749389e-13 + 5.9225929e-13 2.2769691e-12 3.0277223e-13 9.3826173e-13 + 5.7806571e-13 2.2052955e-12 3.1020064e-13 9.6880649e-13 + 5.6472833e-13 2.1384350e-12 3.1752030e-13 9.9913897e-13 + 5.5216655e-13 2.0759051e-12 3.2473698e-13 1.0292691e-12 + 5.4030991e-13 2.0172861e-12 3.3185598e-13 1.0592059e-12 + 5.2909645e-13 1.9622122e-12 3.3888213e-13 1.0889579e-12 + 5.1847152e-13 1.9103616e-12 3.4581986e-13 1.1185329e-12 + 5.0838664e-13 1.8614505e-12 3.5267328e-13 1.1479379e-12 + 4.9879869e-13 1.8152297e-12 3.5944616e-13 1.1771797e-12 + 4.8966916e-13 1.7714758e-12 3.6614201e-13 1.2062646e-12 + 4.8096354e-13 1.7299908e-12 3.7276409e-13 1.2351984e-12 + 4.7265082e-13 1.6905975e-12 3.7931541e-13 1.2639864e-12 + 4.6470300e-13 1.6531364e-12 3.8579879e-13 1.2926339e-12 + 4.5709480e-13 1.6174647e-12 3.9221687e-13 1.3211454e-12 + 4.4980327e-13 1.5834530e-12 3.9857210e-13 1.3495256e-12 + 4.4280757e-13 1.5509846e-12 4.0486680e-13 1.3777787e-12 + 4.3608867e-13 1.5199536e-12 4.1110313e-13 1.4059086e-12 + 4.2962923e-13 1.4902634e-12 4.1728312e-13 1.4339191e-12 + 4.2341335e-13 1.4618264e-12 4.2340869e-13 1.4618136e-12 + 1.7877341e-12 9.5227646e-12 9.2984076e-14 2.0033578e-13 + 1.5631611e-12 8.0216941e-12 1.0729854e-13 2.4092663e-13 + 1.3992984e-12 6.9584117e-12 1.2055665e-13 2.8013670e-13 + 1.2734844e-12 6.1626883e-12 1.3298201e-13 3.1819733e-13 + 1.1732721e-12 5.5430607e-12 1.4472955e-13 3.5528108e-13 + 1.0912064e-12 5.0458202e-12 1.5591178e-13 3.9152065e-13 + 1.0225265e-12 4.6372631e-12 1.6661336e-13 4.2702061e-13 + 9.6403658e-13 4.2951275e-12 1.7689978e-13 4.6186516e-13 + 9.1350497e-13 4.0040954e-12 1.8682295e-13 4.9612326e-13 + 8.6932189e-13 3.7532653e-12 1.9642483e-13 5.2985231e-13 + 8.3029435e-13 3.5346642e-12 2.0573991e-13 5.6310071e-13 + 7.9551778e-13 3.3423137e-12 2.1479692e-13 5.9590970e-13 + 7.6429270e-13 3.1716444e-12 2.2362013e-13 6.2831479e-13 + 7.3606893e-13 3.0191000e-12 2.3223021e-13 6.6034681e-13 + 7.1040721e-13 2.8818691e-12 2.4064495e-13 6.9203270e-13 + 6.8695222e-13 2.7577002e-12 2.4887981e-13 7.2339621e-13 + 6.6541315e-13 2.6447668e-12 2.5694828e-13 7.5445837e-13 + 6.4554949e-13 2.5415715e-12 2.6486223e-13 7.8523790e-13 + 6.2716044e-13 2.4468738e-12 2.7263218e-13 8.1575158e-13 + 6.1007692e-13 2.3596394e-12 2.8026748e-13 8.4601452e-13 + 5.9415547e-13 2.2789956e-12 2.8777651e-13 8.7604034e-13 + 5.7927350e-13 2.2042031e-12 2.9516681e-13 9.0584144e-13 + 5.6532555e-13 2.1346305e-12 3.0244517e-13 9.3542909e-13 + 5.5222038e-13 2.0697339e-12 3.0961776e-13 9.6481359e-13 + 5.3987858e-13 2.0090447e-12 3.1669019e-13 9.9400441e-13 + 5.2823073e-13 1.9521551e-12 3.2366758e-13 1.0230102e-12 + 5.1721582e-13 1.8987093e-12 3.3055464e-13 1.0518391e-12 + 5.0677998e-13 1.8483946e-12 3.3735568e-13 1.0804984e-12 + 4.9687548e-13 1.8009360e-12 3.4407467e-13 1.1089950e-12 + 4.8745986e-13 1.7560895e-12 3.5071530e-13 1.1373353e-12 + 4.7849520e-13 1.7136395e-12 3.5728095e-13 1.1655253e-12 + 4.6994751e-13 1.6733931e-12 3.6377480e-13 1.1935706e-12 + 4.6178624e-13 1.6351779e-12 3.7019978e-13 1.2214762e-12 + 4.5398386e-13 1.5988392e-12 3.7655863e-13 1.2492471e-12 + 4.4651544e-13 1.5642378e-12 3.8285390e-13 1.2768879e-12 + 4.3935842e-13 1.5312488e-12 3.8908800e-13 1.3044027e-12 + 4.3249227e-13 1.4997580e-12 3.9526316e-13 1.3317958e-12 + 4.2589827e-13 1.4696628e-12 4.0138149e-13 1.3590707e-12 + 4.1955933e-13 1.4408694e-12 4.0744496e-13 1.3862313e-12 + 4.1345983e-13 1.4132925e-12 4.1345545e-13 1.4132807e-12 + 1.7574365e-12 9.2498041e-12 9.0070979e-14 1.9229366e-13 + 1.5358139e-12 7.7890713e-12 1.0402411e-13 2.3143364e-13 + 1.3741677e-12 6.7546082e-12 1.1695604e-13 2.6926465e-13 + 1.2500993e-12 5.9806121e-12 1.2908205e-13 3.0600411e-13 + 1.1513086e-12 5.3780184e-12 1.4055154e-13 3.4181473e-13 + 1.0704303e-12 4.8945270e-12 1.5147316e-13 3.7682192e-13 + 1.0027617e-12 4.4973283e-12 1.6192871e-13 4.1112473e-13 + 9.4514688e-13 4.1647541e-12 1.7198158e-13 4.4480297e-13 + 8.9538242e-13 3.8818923e-12 1.8168200e-13 4.7792211e-13 + 8.5187924e-13 3.6381364e-12 1.9107061e-13 5.1053665e-13 + 8.1345986e-13 3.4257250e-12 2.0018079e-13 5.4269256e-13 + 7.7923160e-13 3.2388424e-12 2.0904039e-13 5.7442906e-13 + 7.4850426e-13 3.0730425e-12 2.1767292e-13 6.0577992e-13 + 7.2073502e-13 2.9248656e-12 2.2609841e-13 6.3677448e-13 + 6.9549057e-13 2.7915774e-12 2.3433413e-13 6.6743841e-13 + 6.7242045e-13 2.6709869e-12 2.4239506e-13 6.9779431e-13 + 6.5123784e-13 2.5613179e-12 2.5029430e-13 7.2786222e-13 + 6.3170557e-13 2.4611141e-12 2.5804336e-13 7.5766001e-13 + 6.1362567e-13 2.3691698e-12 2.6565245e-13 7.8720367e-13 + 5.9683146e-13 2.2844781e-12 2.7313066e-13 8.1650759e-13 + 5.8118153e-13 2.2061912e-12 2.8048613e-13 8.4558478e-13 + 5.6655505e-13 2.1335898e-12 2.8772615e-13 8.7444706e-13 + 5.5284809e-13 2.0660598e-12 2.9485734e-13 9.0310518e-13 + 5.3997073e-13 2.0030737e-12 3.0188568e-13 9.3156896e-13 + 5.2784475e-13 1.9441753e-12 3.0881661e-13 9.5984744e-13 + 5.1640175e-13 1.8889672e-12 3.1565512e-13 9.8794890e-13 + 5.0558161e-13 1.8371052e-12 3.2240576e-13 1.0158810e-12 + 4.9533129e-13 1.7882846e-12 3.2907273e-13 1.0436508e-12 + 4.8560377e-13 1.7422378e-12 3.3565988e-13 1.0712649e-12 + 4.7635722e-13 1.6987283e-12 3.4217078e-13 1.0987294e-12 + 4.6755430e-13 1.6575462e-12 3.4860874e-13 1.1260500e-12 + 4.5916153e-13 1.6185038e-12 3.5497683e-13 1.1532319e-12 + 4.5114885e-13 1.5814341e-12 3.6127789e-13 1.1802801e-12 + 4.4348913e-13 1.5461866e-12 3.6751460e-13 1.2071993e-12 + 4.3615785e-13 1.5126262e-12 3.7368943e-13 1.2339938e-12 + 4.2913277e-13 1.4806308e-12 3.7980471e-13 1.2606678e-12 + 4.2239369e-13 1.4500906e-12 3.8586263e-13 1.2872250e-12 + 4.1592220e-13 1.4209051e-12 3.9186522e-13 1.3136691e-12 + 4.0970148e-13 1.3929834e-12 3.9781441e-13 1.3400035e-12 + 4.0371612e-13 1.3662426e-12 4.0371201e-13 1.3662316e-12 + 1.7277198e-12 8.9841937e-12 8.7231729e-14 1.8454262e-13 + 1.5089938e-12 7.5627773e-12 1.0083057e-13 2.2227826e-13 + 1.3495239e-12 6.5563961e-12 1.1344262e-13 2.5877385e-13 + 1.2271693e-12 5.8035674e-12 1.2527507e-13 2.9423356e-13 + 1.1297744e-12 5.2175638e-12 1.3647188e-13 3.2881060e-13 + 1.0500618e-12 4.7474649e-12 1.4713789e-13 3.6262343e-13 + 9.8338601e-13 4.3613300e-12 1.5735215e-13 3.9576574e-13 + 9.2663029e-13 4.0380663e-12 1.6717594e-13 4.2831317e-13 + 8.7761898e-13 3.7631608e-12 1.7665788e-13 4.6032781e-13 + 8.3478329e-13 3.5262919e-12 1.8583729e-13 4.9186138e-13 + 7.9696097e-13 3.3199062e-12 1.9474649e-13 5.2295755e-13 + 7.6327100e-13 3.1383462e-12 2.0341245e-13 5.5365357e-13 + 7.3303228e-13 2.9772862e-12 2.1185794e-13 5.8398155e-13 + 7.0570925e-13 2.8333606e-12 2.2010238e-13 6.1396939e-13 + 6.8087441e-13 2.7039087e-12 2.2816250e-13 6.4364151e-13 + 6.5818205e-13 2.5868008e-12 2.3605283e-13 6.7301945e-13 + 6.3734931e-13 2.4803085e-12 2.4378605e-13 7.0212229e-13 + 6.1814231e-13 2.3830156e-12 2.5137337e-13 7.3096704e-13 + 6.0036584e-13 2.2937497e-12 2.5882467e-13 7.5956895e-13 + 5.8385557e-13 2.2115322e-12 2.6614878e-13 7.8794174e-13 + 5.6847212e-13 2.1355380e-12 2.7335358e-13 8.1609781e-13 + 5.5409638e-13 2.0650681e-12 2.8044618e-13 8.4404843e-13 + 5.4062593e-13 1.9995254e-12 2.8743299e-13 8.7180384e-13 + 5.2797216e-13 1.9383978e-12 2.9431981e-13 8.9937343e-13 + 5.1605800e-13 1.8812403e-12 3.0111192e-13 9.2676579e-13 + 5.0481603e-13 1.8276688e-12 3.0781417e-13 9.5398884e-13 + 4.9418705e-13 1.7773468e-12 3.1443098e-13 9.8104987e-13 + 4.8411880e-13 1.7299787e-12 3.2096641e-13 1.0079556e-12 + 4.7456495e-13 1.6853049e-12 3.2742421e-13 1.0347124e-12 + 4.6548433e-13 1.6430955e-12 3.3380785e-13 1.0613260e-12 + 4.5684012e-13 1.6031459e-12 3.4012053e-13 1.0878018e-12 + 4.4859940e-13 1.5652745e-12 3.4636524e-13 1.1141449e-12 + 4.4073252e-13 1.5293182e-12 3.5254473e-13 1.1403601e-12 + 4.3321279e-13 1.4951316e-12 3.5866161e-13 1.1664517e-12 + 4.2601607e-13 1.4625829e-12 3.6471828e-13 1.1924239e-12 + 4.1912046e-13 1.4315540e-12 3.7071699e-13 1.2182807e-12 + 4.1250608e-13 1.4019374e-12 3.7665988e-13 1.2440256e-12 + 4.0615479e-13 1.3736362e-12 3.8254892e-13 1.2696623e-12 + 4.0005004e-13 1.3465620e-12 3.8838598e-13 1.2951939e-12 + 3.9417669e-13 1.3206340e-12 3.9417283e-13 1.3206235e-12 + 1.6985627e-12 8.7257422e-12 8.4464768e-14 1.7707314e-13 + 1.4826820e-12 7.3426429e-12 9.7716206e-14 2.1344959e-13 + 1.3253499e-12 6.3636211e-12 1.1001454e-13 2.4865217e-13 + 1.2046790e-12 5.6314167e-12 1.2155904e-13 2.8287232e-13 + 1.1086551e-12 5.0615755e-12 1.3248839e-13 3.1625422e-13 + 1.0300875e-12 4.6045225e-12 1.4290369e-13 3.4890959e-13 + 9.6438684e-13 4.2291611e-12 1.5288125e-13 3.8092703e-13 + 9.0847491e-13 3.9149635e-12 1.6248033e-13 4.1237813e-13 + 8.6020333e-13 3.6478048e-12 1.7174792e-13 4.4332176e-13 + 8.1802324e-13 3.4176411e-12 1.8072209e-13 4.7380698e-13 + 7.8078734e-13 3.2171222e-12 1.8943411e-13 5.0387523e-13 + 7.4762605e-13 3.0407438e-12 1.9791010e-13 5.3356188e-13 + 7.1786722e-13 2.8842974e-12 2.0617209e-13 5.6289745e-13 + 6.9098237e-13 2.7445091e-12 2.1423890e-13 5.9190845e-13 + 6.6654975e-13 2.6187919e-12 2.2212674e-13 6.2061811e-13 + 6.4422834e-13 2.5050722e-12 2.2984968e-13 6.4904692e-13 + 6.2373914e-13 2.4016713e-12 2.3742004e-13 6.7721304e-13 + 6.0485150e-13 2.3072103e-12 2.4484865e-13 7.0513267e-13 + 5.8737295e-13 2.2205510e-12 2.5214513e-13 7.3282035e-13 + 5.7114147e-13 2.1407399e-12 2.5931803e-13 7.6028913e-13 + 5.5601965e-13 2.0669757e-12 2.6637501e-13 7.8755084e-13 + 5.4189010e-13 1.9985795e-12 2.7332295e-13 8.1461621e-13 + 5.2865185e-13 1.9349703e-12 2.8016806e-13 8.4149501e-13 + 5.1621761e-13 1.8756493e-12 2.8691600e-13 8.6819619e-13 + 5.0451139e-13 1.8201862e-12 2.9357190e-13 8.9472794e-13 + 4.9346680e-13 1.7682057e-12 3.0014043e-13 9.2109781e-13 + 4.8302549e-13 1.7193811e-12 3.0662589e-13 9.4731275e-13 + 4.7313598e-13 1.6734257e-12 3.1303224e-13 9.7337920e-13 + 4.6375263e-13 1.6300872e-12 3.1936310e-13 9.9930313e-13 + 4.5483488e-13 1.5891417e-12 3.2562185e-13 1.0250901e-12 + 4.4634649e-13 1.5503908e-12 3.3181159e-13 1.0507452e-12 + 4.3825501e-13 1.5136576e-12 3.3793521e-13 1.0762734e-12 + 4.3053125e-13 1.4787843e-12 3.4399540e-13 1.1016791e-12 + 4.2314894e-13 1.4456289e-12 3.4999468e-13 1.1269666e-12 + 4.1608429e-13 1.4140638e-12 3.5593538e-13 1.1521398e-12 + 4.0931576e-13 1.3839740e-12 3.6181971e-13 1.1772025e-12 + 4.0282376e-13 1.3552555e-12 3.6764970e-13 1.2021582e-12 + 3.9659044e-13 1.3278139e-12 3.7342731e-13 1.2270101e-12 + 3.9059952e-13 1.3015630e-12 3.7915433e-13 1.2517615e-12 + 3.8483609e-13 1.2764252e-12 3.8483248e-13 1.2764153e-12 + 1.6699443e-12 8.4742607e-12 8.1768574e-14 1.6987597e-13 + 1.4568600e-12 7.1285010e-12 9.4679347e-14 2.0493707e-13 + 1.3016292e-12 6.1761421e-12 1.0666997e-13 2.3888778e-13 + 1.1826131e-12 5.4640305e-12 1.1793202e-13 2.7190742e-13 + 1.0879366e-12 4.9099342e-12 1.2859899e-13 3.0413149e-13 + 1.0104942e-12 4.4655855e-12 1.3876832e-13 3.3566527e-13 + 9.4575179e-13 4.1007182e-12 1.4851367e-13 3.6659244e-13 + 8.9066902e-13 3.7953482e-12 1.5789227e-13 3.9698073e-13 + 8.4312435e-13 3.5357332e-12 1.6694955e-13 4.2688590e-13 + 8.0158849e-13 3.3120974e-12 1.7572232e-13 4.5635445e-13 + 7.6492882e-13 3.1172898e-12 1.8424085e-13 4.8542571e-13 + 7.3228699e-13 2.9459552e-12 1.9253042e-13 5.1413324e-13 + 7.0299965e-13 2.7939996e-12 2.0061234e-13 5.4250601e-13 + 6.7654529e-13 2.6582382e-12 2.0850484e-13 5.7056922e-13 + 6.5250781e-13 2.5361549e-12 2.1622362e-13 5.9834494e-13 + 6.3055079e-13 2.4257329e-12 2.2378230e-13 6.2585265e-13 + 6.1039904e-13 2.3253396e-12 2.3119282e-13 6.5310964e-13 + 5.9182511e-13 2.2336350e-12 2.3846570e-13 6.8013131e-13 + 5.7463918e-13 2.1495103e-12 2.4561023e-13 7.0693150e-13 + 5.5868154e-13 2.0720408e-12 2.5263473e-13 7.3352265e-13 + 5.4381670e-13 2.0004467e-12 2.5954661e-13 7.5991602e-13 + 5.2992894e-13 1.9340676e-12 2.6635256e-13 7.8612185e-13 + 5.1691877e-13 1.8723385e-12 2.7305861e-13 8.1214943e-13 + 5.0470013e-13 1.8147754e-12 2.7967023e-13 8.3800729e-13 + 4.9319816e-13 1.7609593e-12 2.8619240e-13 8.6370324e-13 + 4.8234741e-13 1.7105259e-12 2.9262967e-13 8.8924446e-13 + 4.7209041e-13 1.6631578e-12 2.9898621e-13 9.1463760e-13 + 4.6237643e-13 1.6185764e-12 3.0526584e-13 9.3988878e-13 + 4.5316053e-13 1.5765358e-12 3.1147209e-13 9.6500370e-13 + 4.4440272e-13 1.5368193e-12 3.1760823e-13 9.8998765e-13 + 4.3606733e-13 1.4992335e-12 3.2367728e-13 1.0148455e-12 + 4.2812239e-13 1.4636072e-12 3.2968204e-13 1.0395820e-12 + 4.2053917e-13 1.4297866e-12 3.3562511e-13 1.0642013e-12 + 4.1329178e-13 1.3976338e-12 3.4150895e-13 1.0887075e-12 + 4.0635681e-13 1.3670249e-12 3.4733581e-13 1.1131043e-12 + 3.9971304e-13 1.3378482e-12 3.5310783e-13 1.1373954e-12 + 3.9334120e-13 1.3100024e-12 3.5882701e-13 1.1615841e-12 + 3.8722371e-13 1.2833961e-12 3.6449521e-13 1.1856735e-12 + 3.8134455e-13 1.2579457e-12 3.7011421e-13 1.2096666e-12 + 3.7568902e-13 1.2335754e-12 3.7568565e-13 1.2335663e-12 + 1.6418437e-12 8.2295651e-12 7.9141660e-14 1.6294212e-13 + 1.4315096e-12 6.9201949e-12 9.1718360e-14 1.9673043e-13 + 1.2783453e-12 5.9938162e-12 1.0340714e-13 2.2946921e-13 + 1.1609566e-12 5.3012808e-12 1.1439208e-13 2.6132623e-13 + 1.0676051e-12 4.7625206e-12 1.2480162e-13 2.9242870e-13 + 9.9126888e-13 4.3305473e-12 1.3472962e-13 3.2287573e-13 + 9.2746863e-13 3.9758979e-12 1.4424712e-13 3.5274625e-13 + 8.7320110e-13 3.6791260e-12 1.5340935e-13 3.8210430e-13 + 8.2637110e-13 3.4268555e-12 1.6226023e-13 4.1100263e-13 + 7.8546861e-13 3.2095758e-12 1.7083535e-13 4.3948533e-13 + 7.4937541e-13 3.0203281e-12 1.7916398e-13 4.6758965e-13 + 7.1724422e-13 2.8539034e-12 1.8727057e-13 4.9534746e-13 + 6.8842031e-13 2.7063183e-12 1.9517575e-13 5.2278622e-13 + 6.6238907e-13 2.5744764e-12 2.0289716e-13 5.4992988e-13 + 6.3873994e-13 2.4559291e-12 2.1044998e-13 5.7679938e-13 + 6.1714102e-13 2.3487162e-12 2.1784744e-13 6.0341325e-13 + 5.9732090e-13 2.2512492e-12 2.2510107e-13 6.2978791e-13 + 5.7905523e-13 2.1622263e-12 2.3222106e-13 6.5593803e-13 + 5.6215686e-13 2.0805683e-12 2.3921644e-13 6.8187676e-13 + 5.4646830e-13 2.0053762e-12 2.4609525e-13 7.0761594e-13 + 5.3185598e-13 1.9358927e-12 2.5286469e-13 7.3316630e-13 + 5.1820582e-13 1.8714754e-12 2.5953124e-13 7.5853756e-13 + 5.0541975e-13 1.8115754e-12 2.6610075e-13 7.8373861e-13 + 4.9341295e-13 1.7557221e-12 2.7257853e-13 8.0877756e-13 + 4.8211165e-13 1.7035076e-12 2.7896941e-13 8.3366184e-13 + 4.7145135e-13 1.6545793e-12 2.8527779e-13 8.5839830e-13 + 4.6137543e-13 1.6086276e-12 2.9150773e-13 8.8299327e-13 + 4.5183390e-13 1.5653819e-12 2.9766293e-13 9.0745258e-13 + 4.4278248e-13 1.5246036e-12 3.0374683e-13 9.3178166e-13 + 4.3418180e-13 1.4860819e-12 3.0976257e-13 9.5598556e-13 + 4.2599670e-13 1.4496292e-12 3.1571310e-13 9.8006895e-13 + 4.1819571e-13 1.4150788e-12 3.2160113e-13 1.0040362e-12 + 4.1075053e-13 1.3822815e-12 3.2742920e-13 1.0278915e-12 + 4.0363566e-13 1.3511032e-12 3.3319967e-13 1.0516386e-12 + 3.9682805e-13 1.3214237e-12 3.3891474e-13 1.0752811e-12 + 3.9030682e-13 1.2931345e-12 3.4457648e-13 1.0988225e-12 + 3.8405298e-13 1.2661371e-12 3.5018683e-13 1.1222659e-12 + 3.7804925e-13 1.2403426e-12 3.5574759e-13 1.1456143e-12 + 3.7227984e-13 1.2156702e-12 3.6126050e-13 1.1688706e-12 + 3.6673030e-13 1.1920461e-12 3.6672715e-13 1.1920375e-12 + 1.6142402e-12 7.9914774e-12 7.6582575e-14 1.5626286e-13 + 1.4066126e-12 6.7175718e-12 8.8831654e-14 1.8881966e-13 + 1.2554821e-12 5.8165062e-12 1.0022433e-13 2.2038529e-13 + 1.1396945e-12 5.1430428e-12 1.1093736e-13 2.5111649e-13 + 1.0476466e-12 4.6192225e-12 1.2109429e-13 2.8113255e-13 + 9.7239876e-13 4.1993017e-12 1.3078546e-13 3.1052665e-13 + 9.0952535e-13 3.8546053e-12 1.4007934e-13 3.3937318e-13 + 8.5605978e-13 3.5662045e-12 1.4902923e-13 3.6773263e-13 + 8.0993281e-13 3.3210852e-12 1.5767753e-13 3.9565487e-13 + 7.6965333e-13 3.1099923e-12 1.6605862e-13 4.2318165e-13 + 7.3411728e-13 2.9261577e-12 1.7420083e-13 4.5034825e-13 + 7.0248829e-13 2.7645123e-12 1.8212778e-13 4.7718490e-13 + 6.7412012e-13 2.6211823e-12 1.8985944e-13 5.0371764e-13 + 6.4850493e-13 2.4931538e-12 1.9741287e-13 5.2996918e-13 + 6.2523763e-13 2.3780478e-12 2.0480277e-13 5.5595942e-13 + 6.0399081e-13 2.2739579e-12 2.1204192e-13 5.8170595e-13 + 5.8449672e-13 2.1793385e-12 2.1914150e-13 6.0722436e-13 + 5.6653413e-13 2.0929233e-12 2.2611139e-13 6.3252859e-13 + 5.4991846e-13 2.0136655e-12 2.3296031e-13 6.5763116e-13 + 5.3449443e-13 1.9406893e-12 2.3969607e-13 6.8254333e-13 + 5.2013034e-13 1.8732589e-12 2.4632564e-13 7.0727529e-13 + 5.0671375e-13 1.8107497e-12 2.5285530e-13 7.3183632e-13 + 4.9414797e-13 1.7526287e-12 2.5929072e-13 7.5623486e-13 + 4.8234940e-13 1.6984378e-12 2.6563705e-13 7.8047863e-13 + 4.7124534e-13 1.6477815e-12 2.7189898e-13 8.0457471e-13 + 4.6077224e-13 1.6003163e-12 2.7808078e-13 8.2852964e-13 + 4.5087428e-13 1.5557419e-12 2.8418637e-13 8.5234942e-13 + 4.4150223e-13 1.5137952e-12 2.9021935e-13 8.7603962e-13 + 4.3261246e-13 1.4742442e-12 2.9618305e-13 8.9960541e-13 + 4.2416618e-13 1.4368841e-12 3.0208054e-13 9.2305159e-13 + 4.1612877e-13 1.4015330e-12 3.0791464e-13 9.4638262e-13 + 4.0846922e-13 1.3680287e-12 3.1368802e-13 9.6960269e-13 + 4.0115967e-13 1.3362260e-12 3.1940311e-13 9.9271570e-13 + 3.9417501e-13 1.3059950e-12 3.2506221e-13 1.0157253e-12 + 3.8749255e-13 1.2772189e-12 3.3066746e-13 1.0386349e-12 + 3.8109171e-13 1.2497922e-12 3.3622086e-13 1.0614479e-12 + 3.7495382e-13 1.2236194e-12 3.4172429e-13 1.0841671e-12 + 3.6906185e-13 1.1986143e-12 3.4717952e-13 1.1067955e-12 + 3.6340026e-13 1.1746977e-12 3.5258820e-13 1.1293358e-12 + 3.5795483e-13 1.1517986e-12 3.5795189e-13 1.1517905e-12 + 1.5871136e-12 7.7598233e-12 7.4089903e-14 1.4982969e-13 + 1.3821513e-12 6.5204768e-12 8.6017675e-14 1.8119507e-13 + 1.2330234e-12 5.6440793e-12 9.7119844e-14 2.1162518e-13 + 1.1188123e-12 4.9891954e-12 1.0756607e-13 2.4126627e-13 + 1.0280477e-12 4.4799266e-12 1.1747507e-13 2.7023007e-13 + 9.5387116e-13 4.0717462e-12 1.2693379e-13 2.9860409e-13 + 8.9191008e-13 3.7367409e-12 1.3600818e-13 3.2645837e-13 + 8.3923390e-13 3.4564925e-12 1.4474961e-13 3.5384995e-13 + 7.9379888e-13 3.2183370e-12 1.5319903e-13 3.8082597e-13 + 7.5413252e-13 3.0132682e-12 1.6138964e-13 4.0742592e-13 + 7.1914475e-13 2.8347024e-12 1.6934880e-13 4.3368320e-13 + 6.8800989e-13 2.6777089e-12 1.7709935e-13 4.5962645e-13 + 6.6009011e-13 2.5385191e-12 1.8466062e-13 4.8528036e-13 + 6.3488423e-13 2.4142029e-12 1.9204909e-13 5.1066647e-13 + 6.1199255e-13 2.3024458e-12 1.9927898e-13 5.3580365e-13 + 5.9109207e-13 2.2013938e-12 2.0636266e-13 5.6070858e-13 + 5.7191870e-13 2.1095451e-12 2.1331096e-13 5.8539609e-13 + 5.5425421e-13 2.0256684e-12 2.2013342e-13 6.0987941e-13 + 5.3791661e-13 1.9487448e-12 2.2683850e-13 6.3417042e-13 + 5.2275275e-13 1.8779240e-12 2.3343375e-13 6.5827984e-13 + 5.0863281e-13 1.8124906e-12 2.3992593e-13 6.8221737e-13 + 4.9544591e-13 1.7518375e-12 2.4632112e-13 7.0599180e-13 + 4.8309677e-13 1.6954466e-12 2.5262482e-13 7.2961119e-13 + 4.7150297e-13 1.6428729e-12 2.5884203e-13 7.5308287e-13 + 4.6059286e-13 1.5937317e-12 2.6497727e-13 7.7641360e-13 + 4.5030381e-13 1.5476894e-12 2.7103470e-13 7.9960958e-13 + 4.4058084e-13 1.5044541e-12 2.7701812e-13 8.2267654e-13 + 4.3137541e-13 1.4637702e-12 2.8293102e-13 8.4561977e-13 + 4.2264456e-13 1.4254127e-12 2.8877662e-13 8.6844420e-13 + 4.1435007e-13 1.3891821e-12 2.9455790e-13 8.9115439e-13 + 4.0645784e-13 1.3549017e-12 3.0027761e-13 9.1375460e-13 + 3.9893733e-13 1.3224141e-12 3.0593831e-13 9.3624881e-13 + 3.9176110e-13 1.2915784e-12 3.1154238e-13 9.5864074e-13 + 3.8490443e-13 1.2622683e-12 3.1709204e-13 9.8093386e-13 + 3.7834496e-13 1.2343702e-12 3.2258936e-13 1.0031315e-12 + 3.7206246e-13 1.2077818e-12 3.2803630e-13 1.0252366e-12 + 3.6603852e-13 1.1824104e-12 3.3343466e-13 1.0472522e-12 + 3.6025638e-13 1.1581723e-12 3.3878616e-13 1.0691810e-12 + 3.5470076e-13 1.1349904e-12 3.4409241e-13 1.0910255e-12 + 3.4935766e-13 1.1127957e-12 3.4935493e-13 1.1127883e-12 + 1.5604435e-12 7.5344306e-12 7.1662260e-14 1.4363436e-13 + 1.3581079e-12 6.3287673e-12 8.3274904e-14 1.7384720e-13 + 1.2109532e-12 5.4764032e-12 9.4092051e-14 2.0317833e-13 + 1.0982954e-12 4.8396201e-12 1.0427642e-13 2.3176399e-13 + 1.0087948e-12 4.3445267e-12 1.1394206e-13 2.5970868e-13 + 9.3567361e-13 3.9477799e-12 1.2317260e-13 2.8709451e-13 + 8.7461114e-13 3.6222141e-12 1.3203150e-13 3.1398735e-13 + 8.2271243e-13 3.3499040e-12 1.4056827e-13 3.4044093e-13 + 7.7795883e-13 3.1185277e-12 1.4882241e-13 3.6649975e-13 + 7.3889622e-13 2.9193242e-12 1.5682596e-13 3.9220113e-13 + 7.0444827e-13 2.7458872e-12 1.6460535e-13 4.1757669e-13 + 6.7379986e-13 2.5934215e-12 1.7218266e-13 4.4265353e-13 + 6.4632146e-13 2.4582613e-12 1.7957656e-13 4.6745504e-13 + 6.2151846e-13 2.3375579e-12 1.8680299e-13 4.9200164e-13 + 5.9899649e-13 2.2290594e-12 1.9387571e-13 5.1631121e-13 + 5.7843689e-13 2.1309638e-12 2.0080667e-13 5.4039960e-13 + 5.5957914e-13 2.0418107e-12 2.0760634e-13 5.6428084e-13 + 5.4220803e-13 1.9604029e-12 2.1428396e-13 5.8796752e-13 + 5.2614404e-13 1.8857502e-12 2.2084772e-13 6.1147090e-13 + 5.1123620e-13 1.8170265e-12 2.2730492e-13 6.3480117e-13 + 4.9735649e-13 1.7535355e-12 2.3366211e-13 6.5796754e-13 + 4.8439560e-13 1.6946876e-12 2.3992518e-13 6.8097839e-13 + 4.7225959e-13 1.6399794e-12 2.4609946e-13 7.0384135e-13 + 4.6086724e-13 1.5889781e-12 2.5218977e-13 7.2656341e-13 + 4.5014792e-13 1.5413105e-12 2.5820052e-13 7.4915100e-13 + 4.4003993e-13 1.4966516e-12 2.6413573e-13 7.7161001e-13 + 4.3048906e-13 1.4547185e-12 2.6999908e-13 7.9394589e-13 + 4.2144752e-13 1.4152627e-12 2.7579395e-13 8.1616369e-13 + 4.1287297e-13 1.3780651e-12 2.8152348e-13 8.3826809e-13 + 4.0472776e-13 1.3429325e-12 2.8719053e-13 8.6026343e-13 + 3.9697831e-13 1.3096931e-12 2.9279779e-13 8.8215377e-13 + 3.8959453e-13 1.2781939e-12 2.9834773e-13 9.0394290e-13 + 3.8254940e-13 1.2482981e-12 3.0384266e-13 9.2563434e-13 + 3.7581858e-13 1.2198830e-12 3.0928473e-13 9.4723143e-13 + 3.6938006e-13 1.1928386e-12 3.1467596e-13 9.6873726e-13 + 3.6321390e-13 1.1670649e-12 3.2001822e-13 9.9015478e-13 + 3.5730201e-13 1.1424723e-12 3.2531329e-13 1.0114867e-12 + 3.5162787e-13 1.1189792e-12 3.3056282e-13 1.0327357e-12 + 3.4617644e-13 1.0965114e-12 3.3576837e-13 1.0539043e-12 + 3.4093395e-13 1.0750015e-12 3.4093141e-13 1.0749946e-12 + 1.5342098e-12 7.3151368e-12 6.9298293e-14 1.3766887e-13 + 1.3344647e-12 6.1422971e-12 8.0601860e-14 1.6676689e-13 + 1.1892559e-12 5.3133508e-12 9.1139341e-14 1.9503449e-13 + 1.0781292e-12 4.6942046e-12 1.0106670e-13 2.2259837e-13 + 9.8987481e-13 4.2129193e-12 1.1049344e-13 2.4955614e-13 + 9.1779378e-13 3.8273070e-12 1.1949993e-13 2.7598475e-13 + 8.5761700e-13 3.5109326e-12 1.2814723e-13 3.0194606e-13 + 8.0648448e-13 3.2463525e-12 1.3648303e-13 3.2749064e-13 + 7.6240235e-13 3.0215768e-12 1.4454539e-13 3.5266046e-13 + 7.2393458e-13 2.8280828e-12 1.5236521e-13 3.7749075e-13 + 6.9001841e-13 2.6596387e-12 1.5996802e-13 4.0201140e-13 + 6.5984918e-13 2.5115801e-12 1.6737514e-13 4.2624804e-13 + 6.3280549e-13 2.3803426e-12 1.7460460e-13 4.5022285e-13 + 6.0839928e-13 2.2631537e-12 1.8167183e-13 4.7395513e-13 + 5.8624139e-13 2.1578263e-12 1.8859010e-13 4.9746186e-13 + 5.6601745e-13 2.0626075e-12 1.9537099e-13 5.2075802e-13 + 5.4747049e-13 1.9760766e-12 2.0202461e-13 5.4385696e-13 + 5.3038823e-13 1.8970711e-12 2.0855990e-13 5.6677058e-13 + 5.1459366e-13 1.8246281e-12 2.1498478e-13 5.8950959e-13 + 4.9993786e-13 1.7579437e-12 2.2130631e-13 6.1208366e-13 + 4.8629463e-13 1.6963421e-12 2.2753083e-13 6.3450153e-13 + 4.7355621e-13 1.6392500e-12 2.3366404e-13 6.5677115e-13 + 4.6162999e-13 1.5861783e-12 2.3971110e-13 6.7889978e-13 + 4.5043592e-13 1.5367064e-12 2.4567668e-13 7.0089408e-13 + 4.3990438e-13 1.4904715e-12 2.5156506e-13 7.2276012e-13 + 4.2997456e-13 1.4471579e-12 2.5738011e-13 7.4450354e-13 + 4.2059306e-13 1.4064909e-12 2.6312542e-13 7.6612951e-13 + 4.1171278e-13 1.3682288e-12 2.6880425e-13 7.8764283e-13 + 4.0329201e-13 1.3321592e-12 2.7441964e-13 8.0904795e-13 + 3.9529368e-13 1.2980939e-12 2.7997439e-13 8.3034901e-13 + 3.8768469e-13 1.2658663e-12 2.8547107e-13 8.5154986e-13 + 3.8043542e-13 1.2353279e-12 2.9091209e-13 8.7265411e-13 + 3.7351927e-13 1.2063456e-12 2.9629970e-13 8.9366512e-13 + 3.6691225e-13 1.1788006e-12 3.0163597e-13 9.1458604e-13 + 3.6059271e-13 1.1525855e-12 3.0692285e-13 9.3541984e-13 + 3.5454101e-13 1.1276039e-12 3.1216218e-13 9.5616931e-13 + 3.4873933e-13 1.1037682e-12 3.1735565e-13 9.7683707e-13 + 3.4317142e-13 1.0809992e-12 3.2250488e-13 9.9742560e-13 + 3.3782248e-13 1.0592254e-12 3.2761138e-13 1.0179372e-12 + 3.3267894e-13 1.0383806e-12 3.3267658e-13 1.0383742e-12 + 1.5083924e-12 7.1017791e-12 6.6996676e-14 1.3192542e-13 + 1.3112042e-12 5.9609289e-12 7.7997089e-14 1.5994521e-13 + 1.1679155e-12 5.1548007e-12 8.8260145e-14 1.8718370e-13 + 1.0582996e-12 4.5528329e-12 9.7935225e-14 2.1375845e-13 + 9.7127448e-13 4.0849980e-12 1.0712740e-13 2.3976055e-13 + 9.0021948e-13 3.7102324e-12 1.1591387e-13 2.6526200e-13 + 8.4091622e-13 3.4028087e-12 1.2435337e-13 2.9032082e-13 + 7.9053928e-13 3.1457550e-12 1.3249177e-13 3.1498458e-13 + 7.4711922e-13 2.9274064e-12 1.4036573e-13 3.3929279e-13 + 7.0923786e-13 2.7394706e-12 1.4800507e-13 3.6327866e-13 + 6.7584588e-13 2.5758868e-12 1.5543438e-13 3.8697046e-13 + 6.4614891e-13 2.4321174e-12 1.6267427e-13 4.1039241e-13 + 6.1953365e-13 2.3046968e-12 1.6974215e-13 4.3356546e-13 + 5.9551843e-13 2.1909294e-12 1.7665291e-13 4.5650793e-13 + 5.7371929e-13 2.0886871e-12 1.8341939e-13 4.7923585e-13 + 5.5382608e-13 1.9962668e-12 1.9005277e-13 5.0176345e-13 + 5.3558532e-13 1.9122876e-12 1.9656283e-13 5.2410336e-13 + 5.1878762e-13 1.8356192e-12 2.0295820e-13 5.4626686e-13 + 5.0325843e-13 1.7653251e-12 2.0924655e-13 5.6826412e-13 + 4.8885090e-13 1.7006245e-12 2.1543470e-13 5.9010429e-13 + 4.7544060e-13 1.6408607e-12 2.2152879e-13 6.1179567e-13 + 4.6292128e-13 1.5854762e-12 2.2753432e-13 6.3334581e-13 + 4.5120165e-13 1.5339959e-12 2.3345630e-13 6.5476162e-13 + 4.4020281e-13 1.4860111e-12 2.3929924e-13 6.7604938e-13 + 4.2985616e-13 1.4411694e-12 2.4506727e-13 6.9721491e-13 + 4.2010176e-13 1.3991640e-12 2.5076417e-13 7.1826353e-13 + 4.1088699e-13 1.3597278e-12 2.5639338e-13 7.3920017e-13 + 4.0216547e-13 1.3226263e-12 2.6195809e-13 7.6002939e-13 + 3.9389608e-13 1.2876531e-12 2.6746123e-13 7.8075543e-13 + 3.8604232e-13 1.2546255e-12 2.7290550e-13 8.0138221e-13 + 3.7857160e-13 1.2233816e-12 2.7829342e-13 8.2191340e-13 + 3.7145473e-13 1.1937769e-12 2.8362730e-13 8.4235243e-13 + 3.6466551e-13 1.1656827e-12 2.8890932e-13 8.6270249e-13 + 3.5818034e-13 1.1389830e-12 2.9414150e-13 8.8296659e-13 + 3.5197789e-13 1.1135741e-12 2.9932573e-13 9.0314755e-13 + 3.4603882e-13 1.0893619e-12 3.0446377e-13 9.2324802e-13 + 3.4034560e-13 1.0662620e-12 3.0955729e-13 9.4327049e-13 + 3.3488224e-13 1.0441968e-12 3.1460784e-13 9.6321733e-13 + 3.2963415e-13 1.0230971e-12 3.1961688e-13 9.8309075e-13 + 3.2458799e-13 1.0028987e-12 3.2458580e-13 1.0028929e-12 + 1.4829713e-12 6.8942003e-12 6.4756109e-14 1.2639646e-13 + 1.2883090e-12 5.7845262e-12 7.5459169e-14 1.5337352e-13 + 1.1469166e-12 5.0006303e-12 8.5452923e-14 1.7961626e-13 + 1.0387924e-12 4.4153991e-12 9.4880342e-14 2.0523360e-13 + 9.5298079e-13 3.9606651e-12 1.0384218e-13 2.3031035e-13 + 8.8293858e-13 3.5964629e-12 1.1241256e-13 2.5491381e-13 + 8.2449748e-13 3.2977562e-12 1.2064793e-13 2.7909835e-13 + 7.7486615e-13 3.0480316e-12 1.2859240e-13 3.0290864e-13 + 7.3209931e-13 2.8359396e-12 1.3628127e-13 3.2638182e-13 + 6.9479643e-13 2.6534151e-12 1.4374325e-13 3.4954922e-13 + 6.6192147e-13 2.4945610e-12 1.5100207e-13 3.7243748e-13 + 6.3269026e-13 2.3549671e-12 1.5807760e-13 3.9506949e-13 + 6.0649746e-13 2.2312608e-12 1.6498665e-13 4.1746507e-13 + 5.8286777e-13 2.1208222e-12 1.7174360e-13 4.3964151e-13 + 5.6142234e-13 2.0215827e-12 1.7836085e-13 4.6161402e-13 + 5.4185519e-13 1.9318853e-12 1.8484920e-13 4.8339604e-13 + 5.2391627e-13 1.8503889e-12 1.9121810e-13 5.0499954e-13 + 5.0739908e-13 1.7759932e-12 1.9747589e-13 5.2643522e-13 + 4.9213144e-13 1.7077898e-12 2.0362997e-13 5.4771269e-13 + 4.7796859e-13 1.6450189e-12 2.0968696e-13 5.6884065e-13 + 4.6478782e-13 1.5870424e-12 2.1565276e-13 5.8982695e-13 + 4.5248438e-13 1.5333187e-12 2.2153273e-13 6.1067877e-13 + 4.4096831e-13 1.4833859e-12 2.2733167e-13 6.3140264e-13 + 4.3016181e-13 1.4368474e-12 2.3305397e-13 6.5200454e-13 + 4.1999729e-13 1.3933599e-12 2.3870363e-13 6.7248999e-13 + 4.1041568e-13 1.3526265e-12 2.4428429e-13 6.9286404e-13 + 4.0136515e-13 1.3143870e-12 2.4979930e-13 7.1313137e-13 + 3.9279998e-13 1.2784140e-12 2.5525173e-13 7.3329632e-13 + 3.8467969e-13 1.2445065e-12 2.6064442e-13 7.5336291e-13 + 3.7696831e-13 1.2124874e-12 2.6597999e-13 7.7333487e-13 + 3.6963373e-13 1.1821997e-12 2.7126087e-13 7.9321569e-13 + 3.6264724e-13 1.1535029e-12 2.7648932e-13 8.1300862e-13 + 3.5598301e-13 1.1262716e-12 2.8166743e-13 8.3271671e-13 + 3.4961782e-13 1.1003937e-12 2.8679717e-13 8.5234281e-13 + 3.4353066e-13 1.0757683e-12 2.9188036e-13 8.7188960e-13 + 3.3770250e-13 1.0523041e-12 2.9691872e-13 8.9135959e-13 + 3.3211606e-13 1.0299186e-12 3.0191384e-13 9.1075518e-13 + 3.2675562e-13 1.0085375e-12 3.0686725e-13 9.3007858e-13 + 3.2160682e-13 9.8809293e-13 3.1178035e-13 9.4933193e-13 + 3.1665652e-13 9.6852273e-13 3.1665449e-13 9.6851721e-13 + 1.4579265e-12 6.6922496e-12 6.2575314e-14 1.2107465e-13 + 1.2657615e-12 5.6129555e-12 7.2986701e-14 1.4704338e-13 + 1.1262434e-12 4.8507225e-12 8.2716164e-14 1.7232277e-13 + 1.0195932e-12 4.2817961e-12 9.1900433e-14 1.9701346e-13 + 9.3498074e-13 3.8398230e-12 1.0063606e-13 2.2119429e-13 + 8.6593906e-13 3.4859089e-12 1.0899417e-13 2.4492808e-13 + 8.0834950e-13 3.1956913e-12 1.1702897e-13 2.6826573e-13 + 7.5945447e-13 2.9531024e-12 1.2478289e-13 2.9124909e-13 + 7.1733256e-13 2.7471020e-12 1.3228986e-13 3.1391309e-13 + 6.8060072e-13 2.5698442e-12 1.3957753e-13 3.3628720e-13 + 6.4823605e-13 2.4155960e-12 1.4666876e-13 3.5839652e-13 + 6.1946447e-13 2.2800643e-12 1.5358272e-13 3.8026265e-13 + 5.9368856e-13 2.1599732e-12 1.6033561e-13 4.0190432e-13 + 5.7043926e-13 2.0527743e-12 1.6694131e-13 4.2333787e-13 + 5.4934278e-13 1.9564555e-12 1.7341181e-13 4.4457768e-13 + 5.3009728e-13 1.8694082e-12 1.7975752e-13 4.6563647e-13 + 5.1245609e-13 1.7903263e-12 1.8598757e-13 4.8652555e-13 + 4.9621554e-13 1.7181421e-12 1.9211003e-13 5.0725507e-13 + 4.8120586e-13 1.6519721e-12 1.9813204e-13 5.2783413e-13 + 4.6728427e-13 1.5910781e-12 2.0405999e-13 5.4827095e-13 + 4.5432980e-13 1.5348398e-12 2.0989959e-13 5.6857299e-13 + 4.4223921e-13 1.4827312e-12 2.1565600e-13 5.8874704e-13 + 4.3092379e-13 1.4343035e-12 2.2133389e-13 6.0879929e-13 + 4.2030688e-13 1.3891709e-12 2.2693749e-13 6.2873543e-13 + 4.1032187e-13 1.3470006e-12 2.3247066e-13 6.4856067e-13 + 4.0091056e-13 1.3075036e-12 2.3793693e-13 6.6827982e-13 + 3.9202188e-13 1.2704277e-12 2.4333954e-13 6.8789732e-13 + 3.8361078e-13 1.2355514e-12 2.4868146e-13 7.0741728e-13 + 3.7563740e-13 1.2026802e-12 2.5396544e-13 7.2684352e-13 + 3.6806630e-13 1.1716416e-12 2.5919401e-13 7.4617959e-13 + 3.6086587e-13 1.1422832e-12 2.6436953e-13 7.6542880e-13 + 3.5400783e-13 1.1144686e-12 2.6949419e-13 7.8459425e-13 + 3.4746675e-13 1.0880760e-12 2.7457000e-13 8.0367881e-13 + 3.4121975e-13 1.0629968e-12 2.7959888e-13 8.2268521e-13 + 3.3524616e-13 1.0391327e-12 2.8458258e-13 8.4161600e-13 + 3.2952724e-13 1.0163951e-12 2.8952277e-13 8.6047355e-13 + 3.2404600e-13 9.9470432e-13 2.9442101e-13 8.7926014e-13 + 3.1878693e-13 9.7398773e-13 2.9927875e-13 8.9797788e-13 + 3.1373592e-13 9.5417966e-13 3.0409737e-13 9.1662880e-13 + 3.0888004e-13 9.3521994e-13 3.0887816e-13 9.3521479e-13 + 1.4332379e-12 6.4957782e-12 6.0453029e-14 1.1595285e-13 + 1.2435443e-12 5.4460903e-12 7.0578306e-14 1.4094663e-13 + 1.1058804e-12 4.7049641e-12 8.0048378e-14 1.6529409e-13 + 1.0006881e-12 4.1519212e-12 8.8993903e-14 1.8908797e-13 + 9.1726135e-13 3.7223772e-12 9.7507334e-14 2.1240146e-13 + 8.4920887e-13 3.3784838e-12 1.0565689e-13 2.3529308e-13 + 7.9246105e-13 3.0965318e-12 1.1349461e-13 2.5781039e-13 + 7.4429364e-13 2.8608909e-12 1.2106123e-13 2.7999261e-13 + 7.0280894e-13 2.6608215e-12 1.2838940e-13 3.0187251e-13 + 6.6664119e-13 2.4886910e-12 1.3550571e-13 3.2347778e-13 + 6.3478053e-13 2.3389239e-12 1.4243217e-13 3.4483205e-13 + 6.0646287e-13 2.2073471e-12 1.4918724e-13 3.6595569e-13 + 5.8109860e-13 2.0907736e-12 1.5578655e-13 3.8686636e-13 + 5.5822487e-13 1.9867272e-12 1.6224350e-13 4.0757950e-13 + 5.3747290e-13 1.8932510e-12 1.6856964e-13 4.2810869e-13 + 5.1854489e-13 1.8087805e-12 1.7477502e-13 4.4846595e-13 + 5.0119756e-13 1.7320483e-12 1.8086847e-13 4.6866200e-13 + 4.8523003e-13 1.6620155e-12 1.8685776e-13 4.8870642e-13 + 4.7047488e-13 1.5978232e-12 1.9274980e-13 5.0860782e-13 + 4.5679133e-13 1.5387547e-12 1.9855076e-13 5.2837400e-13 + 4.4406012e-13 1.4842071e-12 2.0426615e-13 5.4801200e-13 + 4.3217948e-13 1.4336690e-12 2.0990096e-13 5.6752827e-13 + 4.2106196e-13 1.3867046e-12 2.1545969e-13 5.8692866e-13 + 4.1063204e-13 1.3429393e-12 2.2094644e-13 6.0621856e-13 + 4.0082406e-13 1.3020495e-12 2.2636494e-13 6.2540293e-13 + 3.9158068e-13 1.2637549e-12 2.3171860e-13 6.4448630e-13 + 3.8285157e-13 1.2278099e-12 2.3701054e-13 6.6347290e-13 + 3.7459239e-13 1.1939999e-12 2.4224365e-13 6.8236663e-13 + 3.6676385e-13 1.1621359e-12 2.4742059e-13 7.0117111e-13 + 3.5933105e-13 1.1320503e-12 2.5254380e-13 7.1988971e-13 + 3.5226286e-13 1.1035952e-12 2.5761556e-13 7.3852557e-13 + 3.4553143e-13 1.0766378e-12 2.6263798e-13 7.5708162e-13 + 3.3911173e-13 1.0510608e-12 2.6761304e-13 7.7556062e-13 + 3.3298123e-13 1.0267575e-12 2.7254256e-13 7.9396513e-13 + 3.2711958e-13 1.0036333e-12 2.7742827e-13 8.1229757e-13 + 3.2150834e-13 9.8160184e-13 2.8227176e-13 8.3056022e-13 + 3.1613075e-13 9.6058597e-13 2.8707454e-13 8.4875523e-13 + 3.1097160e-13 9.4051527e-13 2.9183803e-13 8.6688460e-13 + 3.0601695e-13 9.2132563e-13 2.9656355e-13 8.8495026e-13 + 3.0125411e-13 9.0295875e-13 3.0125237e-13 9.0295401e-13 + 1.4088851e-12 6.3046403e-12 5.8388007e-14 1.1102415e-13 + 1.2216396e-12 5.2838027e-12 6.8232623e-14 1.3507535e-13 + 1.0858118e-12 4.5632422e-12 7.7448092e-14 1.5852134e-13 + 9.8206283e-13 4.0256727e-12 8.6159175e-14 1.8144738e-13 + 8.9980962e-13 3.6082371e-12 9.4454335e-14 2.0392124e-13 + 8.3273599e-13 3.2741009e-12 1.0239895e-13 2.2599737e-13 + 7.7682084e-13 3.0001986e-12 1.1004295e-13 2.4772014e-13 + 7.2937307e-13 2.7713228e-12 1.1742546e-13 2.6912625e-13 + 6.8851841e-13 2.5770260e-12 1.2457782e-13 2.9024639e-13 + 6.5290833e-13 2.4098872e-12 1.3152562e-13 3.1110657e-13 + 6.2154585e-13 2.2644823e-12 1.3829003e-13 3.3172901e-13 + 5.9367680e-13 2.1367539e-12 1.4488882e-13 3.5213287e-13 + 5.6871929e-13 2.0236043e-12 1.5133706e-13 3.7233480e-13 + 5.4621665e-13 1.9226245e-12 1.5764765e-13 3.9234936e-13 + 5.2580500e-13 1.8319140e-12 1.6383174e-13 4.1218939e-13 + 5.0719060e-13 1.7499515e-12 1.6989902e-13 4.3186623e-13 + 4.9013349e-13 1.6755046e-12 1.7585802e-13 4.5139002e-13 + 4.7443557e-13 1.6075641e-12 1.8171624e-13 4.7076980e-13 + 4.5993173e-13 1.5452958e-12 1.8748034e-13 4.9001373e-13 + 4.4648319e-13 1.4880025e-12 1.9315626e-13 5.0912918e-13 + 4.3397237e-13 1.4350990e-12 1.9874936e-13 5.2812281e-13 + 4.2229894e-13 1.3860882e-12 2.0426443e-13 5.4700071e-13 + 4.1137675e-13 1.3405469e-12 2.0970584e-13 5.6576845e-13 + 4.0113135e-13 1.2981109e-12 2.1507752e-13 5.8443111e-13 + 3.9149804e-13 1.2584662e-12 2.2038308e-13 6.0299339e-13 + 3.8242035e-13 1.2213401e-12 2.2562582e-13 6.2145959e-13 + 3.7384869e-13 1.1864947e-12 2.3080877e-13 6.3983371e-13 + 3.6573937e-13 1.1537213e-12 2.3593470e-13 6.5811944e-13 + 3.5805370e-13 1.1228361e-12 2.4100618e-13 6.7632023e-13 + 3.5075733e-13 1.0936770e-12 2.4602559e-13 6.9443927e-13 + 3.4381958e-13 1.0660995e-12 2.5099512e-13 7.1247953e-13 + 3.3721303e-13 1.0399758e-12 2.5591682e-13 7.3044380e-13 + 3.3091304e-13 1.0151908e-12 2.6079260e-13 7.4833468e-13 + 3.2489744e-13 9.9164183e-13 2.6562422e-13 7.6615463e-13 + 3.1914617e-13 9.6923655e-13 2.7041334e-13 7.8390593e-13 + 3.1364110e-13 9.4789160e-13 2.7516153e-13 8.0159074e-13 + 3.0836573e-13 9.2753152e-13 2.7987023e-13 8.1921110e-13 + 3.0330508e-13 9.0808802e-13 2.8454082e-13 8.3676893e-13 + 2.9844545e-13 8.8949914e-13 2.8917457e-13 8.5426603e-13 + 2.9377432e-13 8.7170845e-13 2.9377272e-13 8.7170413e-13 + 1.3848475e-12 6.1186933e-12 5.6379008e-14 1.0628185e-13 + 1.2000295e-12 5.1259728e-12 6.5948298e-14 1.2942182e-13 + 1.0660218e-12 4.4254489e-12 7.4913845e-14 1.5199590e-13 + 9.6370302e-13 3.9029538e-12 8.3394683e-14 1.7408221e-13 + 8.8261246e-13 3.4973105e-12 9.1475395e-14 1.9574334e-13 + 8.1650826e-13 3.1726777e-12 9.9218596e-14 2.1702987e-13 + 7.6141755e-13 2.9066138e-12 1.0667215e-13 2.3798314e-13 + 7.1468208e-13 2.6843243e-12 1.1387360e-13 2.5863742e-13 + 6.7445092e-13 2.4956488e-12 1.2085307e-13 2.7902145e-13 + 6.3939259e-13 2.3333682e-12 1.2763511e-13 2.9915960e-13 + 6.0852292e-13 2.1922085e-12 1.3424011e-13 3.1907273e-13 + 5.8109757e-13 2.0682260e-12 1.4068513e-13 3.3877887e-13 + 5.5654233e-13 1.9584074e-12 1.4698471e-13 3.5829369e-13 + 5.3440659e-13 1.8604119e-12 1.5315126e-13 3.7763090e-13 + 5.1433139e-13 1.7723923e-12 1.5919553e-13 3.9680262e-13 + 4.9602699e-13 1.6928694e-12 1.6512687e-13 4.1581955e-13 + 4.7925671e-13 1.6206458e-12 1.7095349e-13 4.3469126e-13 + 4.6382519e-13 1.5547408e-12 1.7668264e-13 4.5342630e-13 + 4.4956965e-13 1.4943434e-12 1.8232074e-13 4.7203237e-13 + 4.3635327e-13 1.4387769e-12 1.8787354e-13 4.9051643e-13 + 4.2406013e-13 1.3874720e-12 1.9334618e-13 5.0888481e-13 + 4.1259137e-13 1.3399464e-12 1.9874330e-13 5.2714324e-13 + 4.0186207e-13 1.2957883e-12 2.0406912e-13 5.4529698e-13 + 3.9179887e-13 1.2546449e-12 2.0932743e-13 5.6335087e-13 + 3.8233803e-13 1.2162107e-12 2.1452172e-13 5.8130932e-13 + 3.7342392e-13 1.1802209e-12 2.1965517e-13 5.9917643e-13 + 3.6500769e-13 1.1464443e-12 2.2473071e-13 6.1695597e-13 + 3.5704631e-13 1.1146785e-12 2.2975102e-13 6.3465145e-13 + 3.4950167e-13 1.0847450e-12 2.3471858e-13 6.5226612e-13 + 3.4233994e-13 1.0564862e-12 2.3963567e-13 6.6980301e-13 + 3.3553093e-13 1.0297619e-12 2.4450444e-13 6.8726495e-13 + 3.2904763e-13 1.0044479e-12 2.4932685e-13 7.0465456e-13 + 3.2286577e-13 9.8043301e-13 2.5410475e-13 7.2197432e-13 + 3.1696354e-13 9.5761702e-13 2.5883985e-13 7.3922656e-13 + 3.1132119e-13 9.3591025e-13 2.6353375e-13 7.5641344e-13 + 3.0592086e-13 9.1523192e-13 2.6818796e-13 7.7353701e-13 + 3.0074634e-13 8.9550919e-13 2.7280389e-13 7.9059921e-13 + 2.9578287e-13 8.7667537e-13 2.7738286e-13 8.0760185e-13 + 2.9101696e-13 8.5867023e-13 2.8192611e-13 8.2454665e-13 + 2.8643630e-13 8.4143920e-13 2.8643482e-13 8.4143525e-13 + 1.3611043e-12 5.9378027e-12 5.4424796e-14 1.0171946e-13 + 1.1786961e-12 4.9724812e-12 6.3723987e-14 1.2397861e-13 + 1.0464943e-12 4.2914783e-12 7.2444184e-14 1.4570942e-13 + 9.4559425e-13 3.7836679e-12 8.0698872e-14 1.6698324e-13 + 8.6565663e-13 3.3895115e-12 8.8568857e-14 1.8785775e-13 + 8.0051344e-13 3.0741341e-12 9.6114062e-14 2.0837981e-13 + 7.4623973e-13 2.8157026e-12 1.0338035e-13 2.2858788e-13 + 7.0020995e-13 2.5998259e-12 1.1040373e-13 2.4851391e-13 + 6.6059633e-13 2.4166213e-12 1.1721311e-13 2.6818477e-13 + 6.2608435e-13 2.2590693e-12 1.2383207e-13 2.8762328e-13 + 5.9570260e-13 2.1220427e-12 1.3028017e-13 3.0684899e-13 + 5.6871646e-13 2.0017048e-12 1.3657387e-13 3.2587884e-13 + 5.4455934e-13 1.8951281e-12 1.4272710e-13 3.4472754e-13 + 5.2278667e-13 1.8000366e-12 1.4875184e-13 3.6340802e-13 + 5.0304434e-13 1.7146343e-12 1.5465844e-13 3.8193168e-13 + 4.8504658e-13 1.6374849e-12 1.6045591e-13 4.0030863e-13 + 4.6855997e-13 1.5674238e-12 1.6615215e-13 4.1854788e-13 + 4.5339190e-13 1.5034986e-12 1.7175416e-13 4.3665751e-13 + 4.3938185e-13 1.4449210e-12 1.7726813e-13 4.5464479e-13 + 4.2639497e-13 1.3910334e-12 1.8269961e-13 4.7251629e-13 + 4.1431700e-13 1.3412833e-12 1.8805355e-13 4.9027797e-13 + 4.0305051e-13 1.2952016e-12 1.9333444e-13 5.0793528e-13 + 3.9251182e-13 1.2523891e-12 1.9854633e-13 5.2549319e-13 + 3.8262866e-13 1.2125023e-12 2.0369291e-13 5.4295624e-13 + 3.7333823e-13 1.1752448e-12 2.0877751e-13 5.6032863e-13 + 3.6458573e-13 1.1403595e-12 2.1380323e-13 5.7761422e-13 + 3.5632304e-13 1.1076222e-12 2.1877288e-13 5.9481660e-13 + 3.4850778e-13 1.0768356e-12 2.2368904e-13 6.1193907e-13 + 3.4110245e-13 1.0478269e-12 2.2855412e-13 6.2898471e-13 + 3.3407370e-13 1.0204430e-12 2.3337033e-13 6.4595639e-13 + 3.2739182e-13 9.9454829e-13 2.3813973e-13 6.6285679e-13 + 3.2103022e-13 9.7002139e-13 2.4286422e-13 6.7968840e-13 + 3.1496501e-13 9.4675448e-13 2.4754558e-13 6.9645356e-13 + 3.0917471e-13 9.2465064e-13 2.5218547e-13 7.1315448e-13 + 3.0363989e-13 9.0362280e-13 2.5678543e-13 7.2979321e-13 + 2.9834298e-13 8.8359255e-13 2.6134693e-13 7.4637169e-13 + 2.9326800e-13 8.6448869e-13 2.6587133e-13 7.6289176e-13 + 2.8840044e-13 8.4624717e-13 2.7035989e-13 7.7935513e-13 + 2.8372703e-13 8.2880929e-13 2.7481384e-13 7.9576345e-13 + 2.7923566e-13 8.1212199e-13 2.7923430e-13 8.1211825e-13 + 1.3376340e-12 5.7618329e-12 5.2524135e-14 9.7330663e-14 + 1.1576208e-12 4.8232101e-12 6.1558341e-14 1.1873847e-13 + 1.0272129e-12 4.1612289e-12 7.0037653e-14 1.3965379e-13 + 9.2772180e-13 3.6677230e-12 7.8070182e-14 1.6014157e-13 + 8.4892868e-13 3.2847547e-12 8.5733063e-14 1.8025478e-13 + 7.8473908e-13 2.9783905e-12 9.3083599e-14 2.0003675e-13 + 7.3127579e-13 2.7273902e-12 1.0016571e-13 2.1952319e-13 + 6.8594578e-13 2.5177569e-12 1.0701390e-13 2.3874387e-13 + 6.4694437e-13 2.3398790e-12 1.1365590e-13 2.5772383e-13 + 6.1297392e-13 2.1869300e-12 1.2011434e-13 2.7648443e-13 + 5.8307566e-13 2.0539250e-12 1.2640801e-13 2.9504397e-13 + 5.5652467e-13 1.9371343e-12 1.3255271e-13 3.1341832e-13 + 5.3276190e-13 1.8337120e-12 1.3856184e-13 3.3162131e-13 + 5.1134878e-13 1.7414458e-12 1.4444692e-13 3.4966509e-13 + 4.9193605e-13 1.6585905e-12 1.5021791e-13 3.6756038e-13 + 4.7424184e-13 1.5837498e-12 1.5588348e-13 3.8531671e-13 + 4.5803600e-13 1.5157923e-12 1.6145127e-13 4.0294256e-13 + 4.4312863e-13 1.4537924e-12 1.6692799e-13 4.2044557e-13 + 4.2936149e-13 1.3969846e-12 1.7231962e-13 4.3783257e-13 + 4.1660165e-13 1.3447301e-12 1.7763151e-13 4.5510979e-13 + 4.0473652e-13 1.2964918e-12 1.8286844e-13 4.7228285e-13 + 3.9367008e-13 1.2518145e-12 1.8803474e-13 4.8935687e-13 + 3.8331990e-13 1.2103097e-12 1.9313430e-13 5.0633657e-13 + 3.7361476e-13 1.1716445e-12 1.9817067e-13 5.2322623e-13 + 3.6449282e-13 1.1355310e-12 2.0314711e-13 5.4002982e-13 + 3.5590008e-13 1.1017195e-12 2.0806656e-13 5.5675099e-13 + 3.4778918e-13 1.0699920e-12 2.1293176e-13 5.7339312e-13 + 3.4011836e-13 1.0401574e-12 2.1774519e-13 5.8995934e-13 + 3.3285070e-13 1.0120477e-12 2.2250918e-13 6.0645257e-13 + 3.2595338e-13 9.8551442e-13 2.2722585e-13 6.2287552e-13 + 3.1939714e-13 9.6042532e-13 2.3189720e-13 6.3923071e-13 + 3.1315579e-13 9.3666341e-13 2.3652506e-13 6.5552052e-13 + 3.0720583e-13 9.1412366e-13 2.4111115e-13 6.7174715e-13 + 3.0152612e-13 8.9271183e-13 2.4565707e-13 6.8791270e-13 + 2.9609752e-13 8.7234362e-13 2.5016432e-13 7.0401910e-13 + 2.9090275e-13 8.5294282e-13 2.5463431e-13 7.2006820e-13 + 2.8592610e-13 8.3444057e-13 2.5906834e-13 7.3606173e-13 + 2.8115327e-13 8.1677431e-13 2.6346766e-13 7.5200133e-13 + 2.7657121e-13 7.9988745e-13 2.6783343e-13 7.6788854e-13 + 2.7216801e-13 7.8372818e-13 2.7216675e-13 7.8372483e-13 + 1.3144148e-12 5.5906525e-12 5.0675782e-14 9.3109376e-14 + 1.1367847e-12 4.6780486e-12 5.9450009e-14 1.1369439e-13 + 1.0081612e-12 4.0345992e-12 6.7692793e-14 1.3382117e-13 + 9.1007070e-13 3.5550281e-12 7.5507049e-14 1.5354853e-13 + 8.3241489e-13 3.1829571e-12 8.2966350e-14 1.7292501e-13 + 7.6917252e-13 2.8853705e-12 9.0125448e-14 1.9199056e-13 + 7.1651392e-13 2.6416066e-12 9.7026363e-14 2.1077826e-13 + 6.7187851e-13 2.4380515e-12 1.0370216e-13 2.2931578e-13 + 6.3348463e-13 2.2653582e-12 1.1017940e-13 2.4762647e-13 + 6.0005144e-13 2.1168895e-12 1.1647980e-13 2.6573025e-13 + 5.7063274e-13 1.9877983e-12 1.2262139e-13 2.8364424e-13 + 5.4451325e-13 1.8744594e-12 1.2861933e-13 3.0138329e-13 + 5.2114145e-13 1.7741066e-12 1.3448651e-13 3.1896038e-13 + 5.0008472e-13 1.6845893e-12 1.4023399e-13 3.3638691e-13 + 4.8099859e-13 1.6042118e-12 1.4587135e-13 3.5367296e-13 + 4.6360513e-13 1.5316168e-12 1.5140694e-13 3.7082747e-13 + 4.4767742e-13 1.4657055e-12 1.5684809e-13 3.8785846e-13 + 4.3302824e-13 1.4055786e-12 1.6220130e-13 4.0477309e-13 + 4.1950163e-13 1.3504921e-12 1.6747231e-13 4.2157784e-13 + 4.0696658e-13 1.2998251e-12 1.7266627e-13 4.3827854e-13 + 3.9531214e-13 1.2530570e-12 1.7778779e-13 4.5488051e-13 + 3.8444372e-13 1.2097448e-12 1.8284104e-13 4.7138859e-13 + 3.7428010e-13 1.1695118e-12 1.8782978e-13 4.8780722e-13 + 3.6475113e-13 1.1320344e-12 1.9275744e-13 5.0414045e-13 + 3.5579590e-13 1.0970330e-12 1.9762714e-13 5.2039201e-13 + 3.4736124e-13 1.0642651e-12 2.0244173e-13 5.3656537e-13 + 3.3940049e-13 1.0335195e-12 2.0720384e-13 5.5266371e-13 + 3.3187256e-13 1.0046102e-12 2.1191588e-13 5.6868999e-13 + 3.2474107e-13 9.7737408e-13 2.1658007e-13 5.8464696e-13 + 3.1797372e-13 9.5166746e-13 2.2119848e-13 6.0053718e-13 + 3.1154172e-13 9.2736143e-13 2.2577303e-13 6.1636305e-13 + 3.0541927e-13 9.0434276e-13 2.3030548e-13 6.3212680e-13 + 2.9958327e-13 8.8250935e-13 2.3479750e-13 6.4783053e-13 + 2.9401287e-13 8.6177011e-13 2.3925063e-13 6.6347620e-13 + 2.8868929e-13 8.4204279e-13 2.4366632e-13 6.7906567e-13 + 2.8359548e-13 8.2325355e-13 2.4804592e-13 6.9460066e-13 + 2.7871600e-13 8.0533566e-13 2.5239070e-13 7.1008283e-13 + 2.7403678e-13 7.8822834e-13 2.5670186e-13 7.2551372e-13 + 2.6954499e-13 7.7187671e-13 2.6098053e-13 7.4089479e-13 + 2.6522891e-13 7.5623051e-13 2.6522775e-13 7.5622743e-13 + 1.2914242e-12 5.4241362e-12 4.8878484e-14 8.9049696e-14 + 1.1161685e-12 4.5368863e-12 5.7397627e-14 1.0883960e-13 + 9.8932188e-13 3.9114923e-12 6.5408133e-14 1.2820394e-13 + 8.9262557e-13 3.4454959e-12 7.3007897e-14 1.4719575e-13 + 8.1610125e-13 3.0840376e-12 8.0267040e-14 1.6585933e-13 + 7.5380080e-13 2.7949990e-12 8.7237832e-14 1.8423140e-13 + 7.0194206e-13 2.5582811e-12 9.3960450e-14 2.0234257e-13 + 6.5799687e-13 2.3606435e-12 1.0046654e-13 2.2021849e-13 + 6.2020650e-13 2.1929969e-12 1.0678155e-13 2.3788089e-13 + 5.8730686e-13 2.0488893e-12 1.1292629e-13 2.5534832e-13 + 5.5836429e-13 1.9236071e-12 1.1891807e-13 2.7263678e-13 + 5.3267310e-13 1.8136276e-12 1.2477141e-13 2.8976015e-13 + 5.0968927e-13 1.7162609e-12 1.3049869e-13 3.0673058e-13 + 4.8898610e-13 1.6294182e-12 1.3611054e-13 3.2355875e-13 + 4.7022392e-13 1.5514511e-12 1.4161616e-13 3.4025412e-13 + 4.5312870e-13 1.4810407e-12 1.4702358e-13 3.5682510e-13 + 4.3747673e-13 1.4171195e-12 1.5233987e-13 3.7327922e-13 + 4.2308347e-13 1.3588138e-12 1.5757124e-13 3.8962322e-13 + 4.0979524e-13 1.3054009e-12 1.6272326e-13 4.0586319e-13 + 3.9748294e-13 1.2562785e-12 1.6780086e-13 4.2200465e-13 + 3.8603726e-13 1.2109396e-12 1.7280850e-13 4.3805259e-13 + 3.7536500e-13 1.1689548e-12 1.7775019e-13 4.5401158e-13 + 3.6538616e-13 1.1299583e-12 1.8262956e-13 4.6988580e-13 + 3.5603167e-13 1.0936355e-12 1.8744989e-13 4.8567907e-13 + 3.4724153e-13 1.0597152e-12 1.9221421e-13 5.0139492e-13 + 3.3896338e-13 1.0279619e-12 1.9692526e-13 5.1703661e-13 + 3.3115129e-13 9.9817038e-13 2.0158557e-13 5.3260715e-13 + 3.2376480e-13 9.7016046e-13 2.0619747e-13 5.4810932e-13 + 3.1676810e-13 9.4377355e-13 2.1076310e-13 5.6354574e-13 + 3.1012940e-13 9.1887001e-13 2.1528445e-13 5.7891881e-13 + 3.0382033e-13 8.9532526e-13 2.1976337e-13 5.9423079e-13 + 2.9781555e-13 8.7302882e-13 2.2420156e-13 6.0948380e-13 + 2.9209228e-13 8.5188181e-13 2.2860064e-13 6.2467982e-13 + 2.8663004e-13 8.3179588e-13 2.3296208e-13 6.3982071e-13 + 2.8141032e-13 8.1269128e-13 2.3728728e-13 6.5490820e-13 + 2.7641638e-13 7.9449627e-13 2.4157756e-13 6.6994395e-13 + 2.7163300e-13 7.7714602e-13 2.4583413e-13 6.8492951e-13 + 2.6704635e-13 7.6058165e-13 2.5005814e-13 6.9986634e-13 + 2.6264382e-13 7.4474993e-13 2.5425069e-13 7.1475583e-13 + 2.5841387e-13 7.2960214e-13 2.5841280e-13 7.2959928e-13 + 1.2686389e-12 5.2621593e-12 4.7130975e-14 8.5145917e-14 + 1.0957523e-12 4.3996155e-12 5.5399817e-14 1.0416754e-13 + 9.7067753e-13 3.7918122e-12 6.3182185e-14 1.2279473e-13 + 8.7537065e-13 3.3390397e-12 7.0571133e-14 1.4107509e-13 + 7.9997335e-13 2.9879184e-12 7.7633437e-14 1.5904888e-13 + 7.3861065e-13 2.7072037e-12 8.4418957e-14 1.7674976e-13 + 6.8754790e-13 2.4773454e-12 9.0966075e-14 1.9420594e-13 + 6.4428933e-13 2.2854687e-12 9.7305059e-14 2.1144118e-13 + 6.0709913e-13 2.1227355e-12 1.0346027e-13 2.2847564e-13 + 5.7472992e-13 1.9828717e-12 1.0945165e-13 2.4532660e-13 + 5.4626057e-13 1.8612969e-12 1.1529577e-13 2.6200896e-13 + 5.2099494e-13 1.7545860e-12 1.2100657e-13 2.7853569e-13 + 4.9839646e-13 1.6601255e-12 1.2659592e-13 2.9491813e-13 + 4.7804440e-13 1.5758846e-12 1.3207403e-13 3.1116628e-13 + 4.5960384e-13 1.5002618e-12 1.3744972e-13 3.2728901e-13 + 4.4280462e-13 1.4319766e-12 1.4273071e-13 3.4329422e-13 + 4.2742628e-13 1.3699913e-12 1.4792378e-13 3.5918895e-13 + 4.1328694e-13 1.3134567e-12 1.5303493e-13 3.7497955e-13 + 4.0023518e-13 1.2616717e-12 1.5806950e-13 3.9067176e-13 + 3.8814380e-13 1.2140506e-12 1.6303225e-13 4.0627075e-13 + 3.7690512e-13 1.1701015e-12 1.6792746e-13 4.2178123e-13 + 3.6642736e-13 1.1294075e-12 1.7275899e-13 4.3720750e-13 + 3.5663172e-13 1.0916128e-12 1.7753033e-13 4.5255350e-13 + 3.4745017e-13 1.0564124e-12 1.8224466e-13 4.6782284e-13 + 3.3882365e-13 1.0235432e-12 1.8690488e-13 4.8301883e-13 + 3.3070060e-13 9.9277607e-13 1.9151363e-13 4.9814454e-13 + 3.2303582e-13 9.6391195e-13 1.9607336e-13 5.1320282e-13 + 3.1578945e-13 9.3677609e-13 2.0058630e-13 5.2819630e-13 + 3.0892627e-13 9.1121454e-13 2.0505452e-13 5.4312742e-13 + 3.0241498e-13 8.8709146e-13 2.0947993e-13 5.5799847e-13 + 2.9622768e-13 8.6428625e-13 2.1386432e-13 5.7281157e-13 + 2.9033940e-13 8.4269174e-13 2.1820933e-13 5.8756873e-13 + 2.8472776e-13 8.2221178e-13 2.2251651e-13 6.0227182e-13 + 2.7937259e-13 8.0276054e-13 2.2678729e-13 6.1692257e-13 + 2.7425569e-13 7.8426097e-13 2.3102302e-13 6.3152265e-13 + 2.6936058e-13 7.6664310e-13 2.3522495e-13 6.4607361e-13 + 2.6467232e-13 7.4984437e-13 2.3939427e-13 6.6057691e-13 + 2.6017728e-13 7.3380751e-13 2.4353209e-13 6.7503394e-13 + 2.5586307e-13 7.1848072e-13 2.4763946e-13 6.8944600e-13 + 2.5171834e-13 7.0381697e-13 2.5171736e-13 7.0381433e-13 + 1.2460349e-12 5.1046008e-12 4.5431973e-14 8.1392522e-14 + 1.0755155e-12 4.2661323e-12 5.3455183e-14 9.9671842e-14 + 9.5221007e-13 3.6754683e-12 6.1013444e-14 1.1758643e-13 + 8.5828972e-13 3.2355760e-12 6.8195144e-14 1.3517870e-13 + 7.8401641e-13 2.8945226e-12 7.5063823e-14 1.5248510e-13 + 7.2358845e-13 2.6219129e-12 8.1667004e-14 1.6953639e-13 + 6.7331878e-13 2.3987339e-12 8.8041321e-14 1.8635849e-13 + 6.3074406e-13 2.2124657e-12 9.4215703e-14 2.0297334e-13 + 5.9415141e-13 2.0545143e-12 1.0021345e-13 2.1939964e-13 + 5.6231013e-13 1.9187817e-12 1.0605366e-13 2.3565341e-13 + 5.3431160e-13 1.8008147e-12 1.1175220e-13 2.5174854e-13 + 5.0946924e-13 1.6972843e-12 1.1732243e-13 2.6769710e-13 + 4.8725395e-13 1.6056509e-12 1.2277573e-13 2.8350968e-13 + 4.6725089e-13 1.5239413e-12 1.2812187e-13 2.9919563e-13 + 4.4912994e-13 1.4505996e-12 1.3336934e-13 3.1476324e-13 + 4.3262482e-13 1.3843813e-12 1.3852555e-13 3.3021990e-13 + 4.1751828e-13 1.3242785e-12 1.4359700e-13 3.4557223e-13 + 4.0363111e-13 1.2694666e-12 1.4858945e-13 3.6082618e-13 + 3.9081414e-13 1.2192647e-12 1.5350804e-13 3.7598714e-13 + 3.7894208e-13 1.1731035e-12 1.5835735e-13 3.9105996e-13 + 3.6790887e-13 1.1305057e-12 1.6314149e-13 4.0604909e-13 + 3.5762413e-13 1.0910665e-12 1.6786418e-13 4.2095856e-13 + 3.4801027e-13 1.0544402e-12 1.7252877e-13 4.3579208e-13 + 3.3900031e-13 1.0203311e-12 1.7713833e-13 4.5055304e-13 + 3.3053610e-13 9.8848337e-13 1.8169565e-13 4.6524457e-13 + 3.2256689e-13 9.5867486e-13 1.8620327e-13 4.7986957e-13 + 3.1504818e-13 9.3071227e-13 1.9066355e-13 4.9443070e-13 + 3.0794076e-13 9.0442584e-13 1.9507863e-13 5.0893044e-13 + 3.0120995e-13 8.7966622e-13 1.9945052e-13 5.2337111e-13 + 2.9482496e-13 8.5630170e-13 2.0378104e-13 5.3775485e-13 + 2.8875834e-13 8.3421519e-13 2.0807193e-13 5.5208367e-13 + 2.8298553e-13 8.1330246e-13 2.1232475e-13 5.6635945e-13 + 2.7748450e-13 7.9347059e-13 2.1654101e-13 5.8058396e-13 + 2.7223541e-13 7.7463621e-13 2.2072208e-13 5.9475884e-13 + 2.6722037e-13 7.5672431e-13 2.2486926e-13 6.0888565e-13 + 2.6242317e-13 7.3966722e-13 2.2898376e-13 6.2296587e-13 + 2.5782911e-13 7.2340408e-13 2.3306672e-13 6.3700086e-13 + 2.5342480e-13 7.0787959e-13 2.3711922e-13 6.5099195e-13 + 2.4919805e-13 6.9304331e-13 2.4114226e-13 6.6494035e-13 + 2.4513769e-13 6.7884968e-13 2.4513680e-13 6.7884725e-13 + 1.2235877e-12 4.9513431e-12 4.3780180e-14 7.7784181e-14 + 1.0554371e-12 4.1363347e-12 5.1562310e-14 9.5346375e-14 + 9.3390092e-13 3.5623685e-12 5.8900385e-14 1.1257212e-13 + 8.4136609e-13 3.1350238e-12 6.5878296e-14 1.2949896e-13 + 7.6821523e-13 2.8037754e-12 7.2556458e-14 1.4615971e-13 + 7.0872021e-13 2.5390581e-12 7.8980129e-14 1.6258235e-13 + 6.5924174e-13 2.3223826e-12 8.5184246e-14 1.7879065e-13 + 6.1734897e-13 2.1415737e-12 9.1196432e-14 1.9480482e-13 + 5.8135195e-13 1.9882775e-12 9.7038963e-14 2.1064212e-13 + 5.5003674e-13 1.8565654e-12 1.0273010e-13 2.2631743e-13 + 5.2250717e-13 1.7421086e-12 1.0828504e-13 2.4184363e-13 + 4.9808628e-13 1.6416734e-12 1.1371657e-13 2.5723195e-13 + 4.7625241e-13 1.5527908e-12 1.1903559e-13 2.7249228e-13 + 4.5659666e-13 1.4735436e-12 1.2425147e-13 2.8763331e-13 + 4.3879366e-13 1.4024209e-12 1.2937235e-13 3.0266280e-13 + 4.2258105e-13 1.3382127e-12 1.3440532e-13 3.1758766e-13 + 4.0774476e-13 1.2799407e-12 1.3935663e-13 3.3241408e-13 + 3.9410829e-13 1.2268044e-12 1.4423183e-13 3.4714765e-13 + 3.8152468e-13 1.1781414e-12 1.4903582e-13 3.6179340e-13 + 3.6987057e-13 1.1333999e-12 1.5377301e-13 3.7635590e-13 + 3.5904152e-13 1.0921160e-12 1.5844737e-13 3.9083933e-13 + 3.4894852e-13 1.0538965e-12 1.6306245e-13 4.0524746e-13 + 3.3951521e-13 1.0184064e-12 1.6762150e-13 4.1958379e-13 + 3.3067564e-13 9.8535811e-13 1.7212745e-13 4.3385151e-13 + 3.2237259e-13 9.5450333e-13 1.7658299e-13 4.4805355e-13 + 3.1455610e-13 9.2562662e-13 1.8099057e-13 4.6219265e-13 + 3.0718238e-13 8.9853997e-13 1.8535244e-13 4.7627131e-13 + 3.0021286e-13 8.7307899e-13 1.8967070e-13 4.9029187e-13 + 2.9361341e-13 8.4909886e-13 1.9394724e-13 5.0425651e-13 + 2.8735373e-13 8.2647142e-13 1.9818385e-13 5.1816724e-13 + 2.8140682e-13 8.0508319e-13 2.0238217e-13 5.3202595e-13 + 2.7574853e-13 7.8483311e-13 2.0654373e-13 5.4583443e-13 + 2.7035719e-13 7.6563084e-13 2.1066996e-13 5.5959432e-13 + 2.6521330e-13 7.4739551e-13 2.1476220e-13 5.7330719e-13 + 2.6029925e-13 7.3005457e-13 2.1882168e-13 5.8697450e-13 + 2.5559911e-13 7.1354226e-13 2.2284959e-13 6.0059763e-13 + 2.5109843e-13 6.9779943e-13 2.2684701e-13 6.1417788e-13 + 2.4678404e-13 6.8277249e-13 2.3081498e-13 6.2771650e-13 + 2.4264396e-13 6.6841269e-13 2.3475447e-13 6.4121464e-13 + 2.3866723e-13 6.5467559e-13 2.3866640e-13 6.5467340e-13 + 1.2012716e-12 4.8022711e-12 4.2174282e-14 7.4315744e-14 + 1.0354953e-12 4.0101252e-12 4.9719765e-14 9.1185202e-14 + 9.1573096e-13 3.4524259e-12 5.6841462e-14 1.0774514e-13 + 8.2458260e-13 3.0373034e-12 6.3618932e-14 1.2402850e-13 + 7.5255421e-13 2.7156036e-12 7.0109579e-14 1.4006466e-13 + 6.9399161e-13 2.4585719e-12 7.6356464e-14 1.5587899e-13 + 6.4530351e-13 2.2482281e-12 8.2392879e-14 1.7149316e-13 + 6.0409165e-13 2.0727336e-12 8.8245177e-14 1.8692575e-13 + 5.6868912e-13 1.9239685e-12 9.3934634e-14 2.0219267e-13 + 5.3789872e-13 1.7961688e-12 9.9478705e-14 2.1730768e-13 + 5.1083685e-13 1.6851290e-12 1.0489192e-13 2.3228271e-13 + 4.8683611e-13 1.5877048e-12 1.1018653e-13 2.4712821e-13 + 4.6538233e-13 1.5014983e-12 1.1537296e-13 2.6185335e-13 + 4.4607258e-13 1.4246470e-12 1.2046018e-13 2.7646625e-13 + 4.2858624e-13 1.3556823e-12 1.2545599e-13 2.9097413e-13 + 4.1266487e-13 1.2934296e-12 1.3036719e-13 3.0538345e-13 + 3.9809761e-13 1.2369383e-12 1.3519978e-13 3.1969998e-13 + 3.8471063e-13 1.1854312e-12 1.3995905e-13 3.3392895e-13 + 3.7235923e-13 1.1382648e-12 1.4464973e-13 3.4807508e-13 + 3.6092193e-13 1.0949039e-12 1.4927606e-13 3.6214266e-13 + 3.5029593e-13 1.0548973e-12 1.5384183e-13 3.7613557e-13 + 3.4039361e-13 1.0178638e-12 1.5835046e-13 3.9005740e-13 + 3.3113980e-13 9.8347805e-13 1.6280507e-13 4.0391140e-13 + 3.2246962e-13 9.5146060e-13 1.6720849e-13 4.1770057e-13 + 3.1432673e-13 9.2157105e-13 1.7156329e-13 4.3142768e-13 + 3.0666200e-13 8.9359977e-13 1.7587183e-13 4.4509529e-13 + 2.9943234e-13 8.6736483e-13 1.8013628e-13 4.5870576e-13 + 2.9259979e-13 8.4270618e-13 1.8435865e-13 4.7226127e-13 + 2.8613080e-13 8.1948327e-13 1.8854076e-13 4.8576389e-13 + 2.7999556e-13 7.9757209e-13 1.9268434e-13 4.9921551e-13 + 2.7416751e-13 7.7686234e-13 1.9679096e-13 5.1261790e-13 + 2.6862292e-13 7.5725599e-13 2.0086210e-13 5.2597275e-13 + 2.6334046e-13 7.3866543e-13 2.0489912e-13 5.3928159e-13 + 2.5830097e-13 7.2101217e-13 2.0890332e-13 5.5254592e-13 + 2.5348714e-13 7.0422575e-13 2.1287589e-13 5.6576709e-13 + 2.4888331e-13 6.8824261e-13 2.1681796e-13 5.7894642e-13 + 2.4447526e-13 6.7300527e-13 2.2073058e-13 5.9208513e-13 + 2.4025008e-13 6.5846159e-13 2.2461474e-13 6.0518438e-13 + 2.3619597e-13 6.4456460e-13 2.2847139e-13 6.1824527e-13 + 2.3230216e-13 6.3127092e-13 2.3230140e-13 6.3126883e-13 + 1.1790606e-12 4.6572748e-12 4.0612954e-14 7.0982241e-14 + 1.0156678e-12 3.8874041e-12 4.7926100e-14 8.7182586e-14 + 8.9768059e-13 3.3455543e-12 5.4835113e-14 1.0309904e-13 + 8.0792171e-13 2.9423365e-12 6.1415382e-14 1.1876020e-13 + 7.3701740e-13 2.6299367e-12 6.7721405e-14 1.3419220e-13 + 6.7938801e-13 2.3803888e-12 7.3794124e-14 1.4941790e-13 + 6.3149051e-13 2.1762089e-12 7.9665232e-14 1.6445703e-13 + 5.9095945e-13 2.0058884e-12 8.5359850e-14 1.7932657e-13 + 5.5615102e-13 1.8615333e-12 9.0898278e-14 1.9404117e-13 + 5.2588487e-13 1.7375418e-12 9.6297191e-14 2.0861350e-13 + 4.9928997e-13 1.6298264e-12 1.0157047e-13 2.2305461e-13 + 4.7570858e-13 1.5353324e-12 1.0672984e-13 2.3737418e-13 + 4.5463405e-13 1.4517296e-12 1.1178527e-13 2.5158072e-13 + 4.3566938e-13 1.3772084e-12 1.1674534e-13 2.6568177e-13 + 4.1849880e-13 1.3103429e-12 1.2161752e-13 2.7968407e-13 + 4.0286774e-13 1.2499920e-12 1.2640832e-13 2.9359362e-13 + 3.8856858e-13 1.1952325e-12 1.3112348e-13 3.0741581e-13 + 3.7543018e-13 1.1453095e-12 1.3576809e-13 3.2115553e-13 + 3.6331007e-13 1.0995987e-12 1.4034667e-13 3.3481718e-13 + 3.5208870e-13 1.0575798e-12 1.4486328e-13 3.4840477e-13 + 3.4166487e-13 1.0188151e-12 1.4932157e-13 3.6192195e-13 + 3.3195236e-13 9.8293455e-13 1.5372483e-13 3.7537206e-13 + 3.2287721e-13 9.4962239e-13 1.5807603e-13 3.8875816e-13 + 3.1437557e-13 9.1860733e-13 1.6237791e-13 4.0208308e-13 + 3.0639203e-13 8.8965577e-13 1.6663292e-13 4.1534939e-13 + 2.9887825e-13 8.6256469e-13 1.7084335e-13 4.2855951e-13 + 2.9179185e-13 8.3715718e-13 1.7501127e-13 4.4171565e-13 + 2.8509550e-13 8.1327813e-13 1.7913861e-13 4.5481986e-13 + 2.7875620e-13 7.9079131e-13 1.8322713e-13 4.6787408e-13 + 2.7274465e-13 7.6957603e-13 1.8727848e-13 4.8088010e-13 + 2.6703474e-13 7.4952546e-13 1.9129419e-13 4.9383957e-13 + 2.6160311e-13 7.3054457e-13 1.9527566e-13 5.0675407e-13 + 2.5642883e-13 7.1254826e-13 1.9922421e-13 5.1962506e-13 + 2.5149305e-13 6.9546043e-13 2.0314109e-13 5.3245393e-13 + 2.4677876e-13 6.7921279e-13 2.0702744e-13 5.4524197e-13 + 2.4227057e-13 6.6374356e-13 2.1088435e-13 5.5799041e-13 + 2.3795452e-13 6.4899702e-13 2.1471282e-13 5.7070039e-13 + 2.3381790e-13 6.3492295e-13 2.1851383e-13 5.8337301e-13 + 2.2984914e-13 6.2147523e-13 2.2228826e-13 5.9600931e-13 + 2.2603765e-13 6.0861214e-13 2.2603696e-13 6.0861025e-13 + 1.1569279e-12 4.5162422e-12 3.9094864e-14 6.7778874e-14 + 9.9593174e-13 3.7680787e-12 4.6179861e-14 8.3332986e-14 + 8.7972982e-13 3.2416703e-12 5.2879770e-14 9.8627583e-14 + 7.9136552e-13 2.8500483e-12 5.9265965e-14 1.1368716e-13 + 7.2158857e-13 2.5467053e-12 6.5390148e-14 1.2853480e-13 + 6.6489453e-13 2.3044441e-12 7.1291214e-14 1.4319098e-13 + 6.1778900e-13 2.1062656e-12 7.6999306e-14 1.5767357e-13 + 5.7793954e-13 1.9409816e-12 8.2538350e-14 1.7199804e-13 + 5.4372561e-13 1.8009189e-12 8.7927698e-14 1.8617783e-13 + 5.1398380e-13 1.6806332e-12 9.3183263e-14 2.0022458e-13 + 4.8785576e-13 1.5761530e-12 9.8318306e-14 2.1414850e-13 + 4.6469344e-13 1.4845097e-12 1.0334402e-13 2.2795853e-13 + 4.4399775e-13 1.4034399e-12 1.0826993e-13 2.4166255e-13 + 4.2537770e-13 1.3311859e-12 1.1310427e-13 2.5526757e-13 + 4.0852232e-13 1.2663623e-12 1.1785416e-13 2.6877984e-13 + 3.9318100e-13 1.2078609e-12 1.2252583e-13 2.8220493e-13 + 3.7914935e-13 1.1547856e-12 1.2712479e-13 2.9554788e-13 + 3.6625889e-13 1.1064031e-12 1.3165589e-13 3.0881323e-13 + 3.5436945e-13 1.0621076e-12 1.3612349e-13 3.2200510e-13 + 3.4336335e-13 1.0213936e-12 1.4053145e-13 3.3512721e-13 + 3.3314104e-13 9.8383647e-13 1.4488329e-13 3.4818300e-13 + 3.2361769e-13 9.4907674e-13 1.4918215e-13 3.6117558e-13 + 3.1472054e-13 9.1680814e-13 1.5343089e-13 3.7410782e-13 + 3.0638679e-13 8.8676728e-13 1.5763212e-13 3.8698235e-13 + 2.9856194e-13 8.5872752e-13 1.6178823e-13 3.9980160e-13 + 2.9119847e-13 8.3249179e-13 1.6590138e-13 4.1256783e-13 + 2.8425468e-13 8.0788845e-13 1.6997358e-13 4.2528311e-13 + 2.7769389e-13 7.8476701e-13 1.7400667e-13 4.3794939e-13 + 2.7148366e-13 7.6299523e-13 1.7800235e-13 4.5056845e-13 + 2.6559517e-13 7.4245619e-13 1.8196221e-13 4.6314198e-13 + 2.6000277e-13 7.2304613e-13 1.8588770e-13 4.7567155e-13 + 2.5468351e-13 7.0467271e-13 1.8978018e-13 4.8815862e-13 + 2.4961681e-13 6.8725378e-13 1.9364093e-13 5.0060458e-13 + 2.4478415e-13 6.7071518e-13 1.9747112e-13 5.1301072e-13 + 2.4016883e-13 6.5499086e-13 2.0127187e-13 5.2537826e-13 + 2.3575571e-13 6.4002088e-13 2.0504421e-13 5.3770835e-13 + 2.3153110e-13 6.2575116e-13 2.0878912e-13 5.5000206e-13 + 2.2748250e-13 6.1213286e-13 2.1250753e-13 5.6226044e-13 + 2.2359855e-13 5.9912153e-13 2.1620029e-13 5.7448444e-13 + 2.1986885e-13 5.8667669e-13 2.1986822e-13 5.8667499e-13 + 1.1348463e-12 4.3790675e-12 3.7618682e-14 6.4701016e-14 + 9.7626417e-13 3.6520565e-12 4.4479594e-14 7.9631051e-14 + 8.6185846e-13 3.1406908e-12 5.0973864e-14 9.4324738e-14 + 7.7489598e-13 2.7603641e-12 5.7169005e-14 1.0880272e-13 + 7.0625139e-13 2.4658411e-12 6.3114026e-14 1.2308518e-13 + 6.5049619e-13 2.2306753e-12 6.8845845e-14 1.3719035e-13 + 6.0418511e-13 2.0383399e-12 7.4393111e-14 1.5113434e-13 + 5.6501899e-13 1.8779586e-12 7.9778587e-14 1.6493119e-13 + 5.3140075e-13 1.7420738e-12 8.5020705e-14 1.7859315e-13 + 5.0218407e-13 1.6253949e-12 9.0134636e-14 1.9213092e-13 + 4.7652337e-13 1.5240623e-12 9.5133034e-14 2.0555388e-13 + 4.5378037e-13 1.4351930e-12 1.0002658e-13 2.1887027e-13 + 4.3346360e-13 1.3565871e-12 1.0482439e-13 2.3208739e-13 + 4.1518812e-13 1.2865384e-12 1.0953431e-13 2.4521172e-13 + 3.9864781e-13 1.2237008e-12 1.1416315e-13 2.5824904e-13 + 3.8359600e-13 1.1669984e-12 1.1871688e-13 2.7120454e-13 + 3.6983157e-13 1.1155610e-12 1.2320076e-13 2.8408290e-13 + 3.5718873e-13 1.0686766e-12 1.2761944e-13 2.9688834e-13 + 3.4552958e-13 1.0257572e-12 1.3197706e-13 3.0962468e-13 + 3.3473835e-13 9.8631166e-13 1.3627736e-13 3.2229542e-13 + 3.2471714e-13 9.4992865e-13 1.4052367e-13 3.3490374e-13 + 3.1538250e-13 9.1625860e-13 1.4471903e-13 3.4745256e-13 + 3.0666288e-13 8.8500415e-13 1.4886617e-13 3.5994455e-13 + 2.9849655e-13 8.5591041e-13 1.5296759e-13 3.7238218e-13 + 2.9082991e-13 8.2875676e-13 1.5702557e-13 3.8476771e-13 + 2.8361625e-13 8.0335233e-13 1.6104220e-13 3.9710327e-13 + 2.7681458e-13 7.7953043e-13 1.6501940e-13 4.0939079e-13 + 2.7038886e-13 7.5714521e-13 1.6895895e-13 4.2163209e-13 + 2.6430719e-13 7.3606831e-13 1.7286246e-13 4.3382885e-13 + 2.5854127e-13 7.1618618e-13 1.7673147e-13 4.4598266e-13 + 2.5306589e-13 6.9739836e-13 1.8056736e-13 4.5809497e-13 + 2.4785851e-13 6.7961533e-13 1.8437146e-13 4.7016717e-13 + 2.4289890e-13 6.6275713e-13 1.8814497e-13 4.8220055e-13 + 2.3816888e-13 6.4675211e-13 1.9188903e-13 4.9419633e-13 + 2.3365204e-13 6.3153612e-13 1.9560471e-13 5.0615564e-13 + 2.2933354e-13 6.1705087e-13 1.9929301e-13 5.1807957e-13 + 2.2519989e-13 6.0324433e-13 2.0295487e-13 5.2996913e-13 + 2.2123885e-13 5.9006878e-13 2.0659115e-13 5.4182529e-13 + 2.1743925e-13 5.7748127e-13 2.1020271e-13 5.5364896e-13 + 2.1379089e-13 5.6544250e-13 2.1379032e-13 5.6544099e-13 + 1.1127887e-12 4.2456455e-12 3.6183091e-14 6.1744201e-14 + 9.5664198e-13 3.5392468e-12 4.2823861e-14 7.6071613e-14 + 8.4404632e-13 3.0425370e-12 4.9115847e-14 9.0184684e-14 + 7.5849509e-13 2.6732116e-12 5.5122847e-14 1.0410044e-13 + 6.9098955e-13 2.3872785e-12 6.0891277e-14 1.1783630e-13 + 6.3617808e-13 2.1590217e-12 6.6456155e-14 1.3140842e-13 + 5.9066505e-13 1.9723744e-12 7.1844684e-14 1.4483120e-13 + 5.5218495e-13 1.8167659e-12 7.7078499e-14 1.5811732e-13 + 5.1916440e-13 1.6849471e-12 8.2175141e-14 1.7127794e-13 + 4.9047432e-13 1.5717781e-12 8.7149059e-14 1.8432282e-13 + 4.6528204e-13 1.4735088e-12 9.2012315e-14 1.9726056e-13 + 4.4295915e-13 1.3873379e-12 9.6775100e-14 2.1009874e-13 + 4.2302186e-13 1.3111294e-12 1.0144611e-13 2.2284410e-13 + 4.0509133e-13 1.2432258e-12 1.0603284e-13 2.3550262e-13 + 3.8886632e-13 1.1823200e-12 1.1054180e-13 2.4807965e-13 + 3.7410416e-13 1.1273671e-12 1.1497868e-13 2.6057999e-13 + 3.6060698e-13 1.0775227e-12 1.1934851e-13 2.7300797e-13 + 3.4821173e-13 1.0320951e-12 1.2365573e-13 2.8536752e-13 + 3.3678276e-13 9.9051360e-13 1.2790433e-13 2.9766219e-13 + 3.2620626e-13 9.5230179e-13 1.3209784e-13 3.0989524e-13 + 3.1638594e-13 9.1705972e-13 1.3623948e-13 3.2206961e-13 + 3.0723977e-13 8.8444906e-13 1.4033215e-13 3.3418803e-13 + 2.9869743e-13 8.5418087e-13 1.4437845e-13 3.4625300e-13 + 2.9069821e-13 8.2600734e-13 1.4838079e-13 3.5826681e-13 + 2.8318947e-13 7.9971499e-13 1.5234136e-13 3.7023159e-13 + 2.7612529e-13 7.7511846e-13 1.5626215e-13 3.8214931e-13 + 2.6946540e-13 7.5205597e-13 1.6014500e-13 3.9402179e-13 + 2.6317438e-13 7.3038614e-13 1.6399161e-13 4.0585072e-13 + 2.5722092e-13 7.0998435e-13 1.6780355e-13 4.1763768e-13 + 2.5157720e-13 6.9074045e-13 1.7158227e-13 4.2938414e-13 + 2.4621846e-13 6.7255721e-13 1.7532911e-13 4.4109149e-13 + 2.4112258e-13 6.5534763e-13 1.7904534e-13 4.5276101e-13 + 2.3626968e-13 6.3903413e-13 1.8273211e-13 4.6439392e-13 + 2.3164193e-13 6.2354739e-13 1.8639052e-13 4.7599134e-13 + 2.2722320e-13 6.0882507e-13 1.9002160e-13 4.8755436e-13 + 2.2299892e-13 5.9481094e-13 1.9362629e-13 4.9908398e-13 + 2.1895586e-13 5.8145401e-13 1.9720551e-13 5.1058115e-13 + 2.1508201e-13 5.6870852e-13 2.0076008e-13 5.2204679e-13 + 2.1136640e-13 5.5653257e-13 2.0429083e-13 5.3348173e-13 + 2.0779901e-13 5.4488824e-13 2.0779849e-13 5.4488680e-13 + 1.0907284e-12 4.1158752e-12 3.4786805e-14 5.8904128e-14 + 9.3704242e-13 3.4295613e-12 4.1211257e-14 7.2649688e-14 + 8.2627351e-13 2.9471291e-12 4.7304204e-14 8.6201798e-14 + 7.4214514e-13 2.5885203e-12 5.3125874e-14 9.9574072e-14 + 6.7578705e-13 2.3109521e-12 5.8720189e-14 1.1278137e-13 + 6.2192556e-13 2.0894228e-12 6.4120333e-14 1.2583783e-13 + 5.7721531e-13 1.9083139e-12 6.9352116e-14 1.3875625e-13 + 5.3942484e-13 1.7573508e-12 7.4436084e-14 1.5154804e-13 + 5.0700475e-13 1.6294901e-12 7.9388911e-14 1.6422329e-13 + 4.7884344e-13 1.5197369e-12 8.4224346e-14 1.7679088e-13 + 4.5412127e-13 1.4244480e-12 8.8953875e-14 1.8925867e-13 + 4.3221980e-13 1.3409028e-12 9.3587209e-14 2.0163363e-13 + 4.1266303e-13 1.2670265e-12 9.8132642e-14 2.1392192e-13 + 3.9507825e-13 1.2012094e-12 1.0259732e-13 2.2612906e-13 + 3.7916917e-13 1.1421825e-12 1.0698746e-13 2.3826000e-13 + 3.6469713e-13 1.0889313e-12 1.1130850e-13 2.5031917e-13 + 3.5146756e-13 1.0406359e-12 1.1556523e-13 2.6231057e-13 + 3.3932013e-13 9.9662497e-13 1.1976190e-13 2.7423784e-13 + 3.2812152e-13 9.5634417e-13 1.2390231e-13 2.8610428e-13 + 3.1775982e-13 9.1933181e-13 1.2798985e-13 2.9791290e-13 + 3.0814041e-13 8.8519938e-13 1.3202758e-13 3.0966645e-13 + 2.9918269e-13 8.5361835e-13 1.3601827e-13 3.2136745e-13 + 2.9081753e-13 8.2430847e-13 1.3996443e-13 3.3301824e-13 + 2.8298532e-13 7.9702964e-13 1.4386836e-13 3.4462095e-13 + 2.7563433e-13 7.7157434e-13 1.4773213e-13 3.5617756e-13 + 2.6871945e-13 7.4776292e-13 1.5155766e-13 3.6768990e-13 + 2.6220114e-13 7.2543838e-13 1.5534673e-13 3.7915968e-13 + 2.5604462e-13 7.0446364e-13 1.5910095e-13 3.9058848e-13 + 2.5021912e-13 6.8471780e-13 1.6282183e-13 4.0197778e-13 + 2.4469736e-13 6.6609408e-13 1.6651075e-13 4.1332894e-13 + 2.3945501e-13 6.4849815e-13 1.7016900e-13 4.2464326e-13 + 2.3447036e-13 6.3184562e-13 1.7379780e-13 4.3592195e-13 + 2.2972392e-13 6.1606143e-13 1.7739826e-13 4.4716614e-13 + 2.2519815e-13 6.0107805e-13 1.8097142e-13 4.5837688e-13 + 2.2087725e-13 5.8683530e-13 1.8451827e-13 4.6955519e-13 + 2.1674691e-13 5.7327846e-13 1.8803972e-13 4.8070201e-13 + 2.1279416e-13 5.6035852e-13 1.9153664e-13 4.9181823e-13 + 2.0900720e-13 5.4803055e-13 1.9500984e-13 5.0290469e-13 + 2.0537528e-13 5.3625421e-13 1.9846009e-13 5.1396221e-13 + 2.0188858e-13 5.2499279e-13 2.0188810e-13 5.2499152e-13 + 1.0686393e-12 3.9896538e-12 3.3428578e-14 5.6176648e-14 + 9.1744348e-13 3.3229129e-12 3.9640428e-14 6.9360466e-14 + 8.0852086e-13 2.8543915e-12 4.5537481e-14 8.2370650e-14 + 7.2582909e-13 2.5062203e-12 5.1176538e-14 9.5217617e-14 + 6.6062852e-13 2.2367987e-12 5.6599120e-14 1.0791380e-13 + 6.0772458e-13 2.0218206e-12 6.1836648e-14 1.2047145e-13 + 5.6382292e-13 1.8461037e-12 6.6913587e-14 1.3290185e-13 + 5.2672658e-13 1.6996629e-12 7.1849434e-14 1.4521520e-13 + 4.9491051e-13 1.5756542e-12 7.6660021e-14 1.5742057e-13 + 4.6728078e-13 1.4692248e-12 8.1358417e-14 1.6952600e-13 + 4.4303099e-13 1.3768362e-12 8.5955550e-14 1.8153866e-13 + 4.2155278e-13 1.2958457e-12 9.0460664e-14 1.9346489e-13 + 4.0237802e-13 1.2242385e-12 9.4881661e-14 2.0531037e-13 + 3.8514022e-13 1.1604509e-12 9.9225354e-14 2.1708015e-13 + 3.6954807e-13 1.1032514e-12 1.0349767e-13 2.2877878e-13 + 3.5536696e-13 1.0516556e-12 1.0770378e-13 2.4041035e-13 + 3.4240564e-13 1.0048664e-12 1.1184828e-13 2.5197856e-13 + 3.3050657e-13 9.6223296e-13 1.1593521e-13 2.6348676e-13 + 3.1953871e-13 9.2321719e-13 1.1996820e-13 2.7493800e-13 + 3.0939213e-13 8.8737090e-13 1.2395048e-13 2.8633507e-13 + 2.9997387e-13 8.5431705e-13 1.2788499e-13 2.9768053e-13 + 2.9120475e-13 8.2373697e-13 1.3177436e-13 3.0897671e-13 + 2.8301689e-13 7.9535876e-13 1.3562099e-13 3.2022578e-13 + 2.7535174e-13 7.6894942e-13 1.3942706e-13 3.3142971e-13 + 2.6815851e-13 7.4430761e-13 1.4319459e-13 3.4259037e-13 + 2.6139290e-13 7.2125909e-13 1.4692539e-13 3.5370944e-13 + 2.5501612e-13 6.9965182e-13 1.5062116e-13 3.6478852e-13 + 2.4899401e-13 6.7935240e-13 1.5428345e-13 3.7582907e-13 + 2.4329638e-13 6.6024397e-13 1.5791370e-13 3.8683248e-13 + 2.3789644e-13 6.4222286e-13 1.6151324e-13 3.9780004e-13 + 2.3277035e-13 6.2519742e-13 1.6508330e-13 4.0873293e-13 + 2.2789678e-13 6.0908600e-13 1.6862504e-13 4.1963229e-13 + 2.2325661e-13 5.9381582e-13 1.7213953e-13 4.3049917e-13 + 2.1883266e-13 5.7932155e-13 1.7562777e-13 4.4133457e-13 + 2.1460940e-13 5.6554449e-13 1.7909070e-13 4.5213943e-13 + 2.1057280e-13 5.5243195e-13 1.8252921e-13 4.6291463e-13 + 2.0671016e-13 5.3993615e-13 1.8594411e-13 4.7366100e-13 + 2.0300988e-13 5.2801371e-13 1.8933619e-13 4.8437933e-13 + 1.9946144e-13 5.1662569e-13 1.9270618e-13 4.9507037e-13 + 1.9605521e-13 5.0573601e-13 1.9605477e-13 5.0573483e-13 + 1.0464968e-12 3.8668845e-12 3.2107229e-14 5.3557766e-14 + 8.9782445e-13 3.2192175e-12 3.8110092e-14 6.6199310e-14 + 7.9077036e-13 2.7642484e-12 4.3814306e-14 7.8686000e-14 + 7.0953097e-13 2.4262446e-12 4.9273382e-14 9.1025260e-14 + 6.4549957e-13 2.1647574e-12 5.4526532e-14 1.0322725e-13 + 5.9356202e-13 1.9561578e-12 5.9603481e-14 1.1530241e-13 + 5.5047577e-13 1.7856903e-12 6.4527401e-14 1.2726063e-13 + 5.1407894e-13 1.6436517e-12 6.9316772e-14 1.3911093e-13 + 4.8287116e-13 1.5233922e-12 7.3986617e-14 1.5086142e-13 + 4.5577647e-13 1.4201978e-12 7.8549343e-14 1.6251937e-13 + 4.3200187e-13 1.3306312e-12 8.3015335e-14 1.7409125e-13 + 4.1094925e-13 1.2521263e-12 8.7393385e-14 1.8558285e-13 + 3.9215844e-13 1.1827262e-12 9.1691013e-14 1.9699933e-13 + 3.7526921e-13 1.1209134e-12 9.5914706e-14 2.0834534e-13 + 3.5999534e-13 1.0654916e-12 1.0007011e-13 2.1962503e-13 + 3.4610628e-13 1.0155052e-12 1.0416215e-13 2.3084216e-13 + 3.3341415e-13 9.7018092e-13 1.0819521e-13 2.4200015e-13 + 3.2176420e-13 9.2888729e-13 1.1217315e-13 2.5310209e-13 + 3.1102774e-13 8.9110141e-13 1.1609941e-13 2.6415078e-13 + 3.0109681e-13 8.5638867e-13 1.1997709e-13 2.7514881e-13 + 2.9188013e-13 8.2438350e-13 1.2380897e-13 2.8609852e-13 + 2.8329996e-13 7.9477640e-13 1.2759759e-13 2.9700210e-13 + 2.7528968e-13 7.6730385e-13 1.3134522e-13 3.0786154e-13 + 2.6779180e-13 7.4173945e-13 1.3505396e-13 3.1867868e-13 + 2.6075649e-13 7.1788842e-13 1.3872572e-13 3.2945523e-13 + 2.5414028e-13 6.9558134e-13 1.4236223e-13 3.4019277e-13 + 2.4790510e-13 6.7467090e-13 1.4596513e-13 3.5089278e-13 + 2.4201744e-13 6.5502774e-13 1.4953588e-13 3.6155664e-13 + 2.3644769e-13 6.3653851e-13 1.5307587e-13 3.7218561e-13 + 2.3116958e-13 6.1910285e-13 1.5658637e-13 3.8278089e-13 + 2.2615970e-13 6.0263168e-13 1.6006856e-13 3.9334361e-13 + 2.2139716e-13 5.8704604e-13 1.6352355e-13 4.0387482e-13 + 2.1686319e-13 5.7227517e-13 1.6695235e-13 4.1437549e-13 + 2.1254096e-13 5.5825590e-13 1.7035593e-13 4.2484656e-13 + 2.0841524e-13 5.4493122e-13 1.7373519e-13 4.3528890e-13 + 2.0447228e-13 5.3225014e-13 1.7709097e-13 4.4570333e-13 + 2.0069961e-13 5.2016635e-13 1.8042407e-13 4.5609063e-13 + 1.9708589e-13 5.0863781e-13 1.8373522e-13 4.6645155e-13 + 1.9362078e-13 4.9762653e-13 1.8702513e-13 4.7678677e-13 + 1.9029486e-13 4.8709798e-13 1.9029446e-13 4.8709696e-13 + 1.0242787e-12 3.7474710e-12 3.0821657e-14 5.1043638e-14 + 8.7816650e-13 3.1183906e-12 3.6619064e-14 6.3161752e-14 + 7.7300569e-13 2.6766253e-12 4.2133417e-14 7.5142796e-14 + 6.9323635e-13 2.3485265e-12 4.7415073e-14 8.6991396e-14 + 6.3038722e-13 2.0947667e-12 5.2501024e-14 9.8715562e-14 + 5.7942604e-13 1.8923785e-12 5.7419365e-14 1.1032407e-13 + 5.3716297e-13 1.7270219e-12 6.2192023e-14 1.2182544e-13 + 5.0147180e-13 1.5892684e-12 6.6836499e-14 1.3322761e-13 + 4.7087726e-13 1.4726583e-12 7.1367032e-14 1.4453778e-13 + 4.4432164e-13 1.3726122e-12 7.5795391e-14 1.5576247e-13 + 4.2102557e-13 1.2857917e-12 8.0131434e-14 1.6690749e-13 + 4.0040131e-13 1.2097051e-12 8.4383513e-14 1.7797810e-13 + 3.8199676e-13 1.1424525e-12 8.8558776e-14 1.8897899e-13 + 3.6545808e-13 1.0825605e-12 9.2663394e-14 1.9991439e-13 + 3.5050413e-13 1.0288677e-12 9.6702735e-14 2.1078810e-13 + 3.3690852e-13 9.8044668e-13 1.0068150e-13 2.2160358e-13 + 3.2448677e-13 9.3654748e-13 1.0460385e-13 2.3236395e-13 + 3.1308696e-13 8.9655616e-13 1.0847347e-13 2.4307204e-13 + 3.0258275e-13 8.5996641e-13 1.1229363e-13 2.5373045e-13 + 2.9286819e-13 8.2635588e-13 1.1606729e-13 2.6434155e-13 + 2.8385370e-13 7.9537013e-13 1.1979711e-13 2.7490751e-13 + 2.7546300e-13 7.6670894e-13 1.2348548e-13 2.8543033e-13 + 2.6763072e-13 7.4011649e-13 1.2713460e-13 2.9591187e-13 + 2.6030047e-13 7.1537351e-13 1.3074644e-13 3.0635383e-13 + 2.5342338e-13 6.9229082e-13 1.3432284e-13 3.1675778e-13 + 2.4695681e-13 6.7070437e-13 1.3786545e-13 3.2712519e-13 + 2.4086343e-13 6.5047097e-13 1.4137583e-13 3.3745744e-13 + 2.3511038e-13 6.3146564e-13 1.4485538e-13 3.4775579e-13 + 2.2966863e-13 6.1357819e-13 1.4830542e-13 3.5802142e-13 + 2.2451242e-13 5.9671121e-13 1.5172717e-13 3.6825546e-13 + 2.1961883e-13 5.8077856e-13 1.5512175e-13 3.7845894e-13 + 2.1496734e-13 5.6570361e-13 1.5849022e-13 3.8863283e-13 + 2.1053960e-13 5.5141770e-13 1.6183356e-13 3.9877806e-13 + 2.0631907e-13 5.3785983e-13 1.6515269e-13 4.0889548e-13 + 2.0229087e-13 5.2497460e-13 1.6844846e-13 4.1898592e-13 + 1.9844150e-13 5.1271264e-13 1.7172168e-13 4.2905013e-13 + 1.9475875e-13 5.0102877e-13 1.7497311e-13 4.3908884e-13 + 1.9123152e-13 4.8988274e-13 1.7820347e-13 4.4910275e-13 + 1.8784967e-13 4.7923759e-13 1.8141342e-13 4.5909249e-13 + 1.8460396e-13 4.6905968e-13 1.8460360e-13 4.6905869e-13 + 1.0019655e-12 3.6313187e-12 2.9570863e-14 4.8630562e-14 + 8.5845331e-13 3.0203527e-12 3.5166279e-14 6.0243490e-14 + 7.5521280e-13 2.5914527e-12 4.0493688e-14 7.1736171e-14 + 6.7693284e-13 2.2730014e-12 4.5600428e-14 8.3110621e-14 + 6.1528036e-13 2.0267674e-12 5.0521362e-14 9.4372836e-14 + 5.6530655e-13 1.8304281e-12 5.5283016e-14 1.0553001e-13 + 5.2387525e-13 1.6700476e-12 5.9906118e-14 1.1658940e-13 + 4.8889657e-13 1.5364659e-12 6.4407229e-14 1.2755789e-13 + 4.5892081e-13 1.4234076e-12 6.8799831e-14 1.3844185e-13 + 4.3290881e-13 1.3264253e-12 7.3095076e-14 1.4924705e-13 + 4.1009504e-13 1.2422773e-12 7.7302311e-14 1.5997872e-13 + 3.8990230e-13 1.1685437e-12 8.1429462e-14 1.7064157e-13 + 3.7188668e-13 1.1033805e-12 8.5483316e-14 1.8123986e-13 + 3.5570080e-13 1.0453568e-12 8.9469735e-14 1.9177743e-13 + 3.4106869e-13 9.9334606e-13 9.3393822e-14 2.0225774e-13 + 3.2776818e-13 9.4644780e-13 9.7260053e-14 2.1268394e-13 + 3.1561822e-13 9.0393408e-13 1.0107238e-13 2.2305889e-13 + 3.0446974e-13 8.6520951e-13 1.0483430e-13 2.3338519e-13 + 2.9419882e-13 8.2978248e-13 1.0854895e-13 2.4366521e-13 + 2.8470152e-13 7.9724376e-13 1.1221913e-13 2.5390114e-13 + 2.7588997e-13 7.6724890e-13 1.1584737e-13 2.6409497e-13 + 2.6768939e-13 7.3950732e-13 1.1943596e-13 2.7424854e-13 + 2.6003568e-13 7.1377047e-13 1.2298697e-13 2.8436356e-13 + 2.5287356e-13 6.8982585e-13 1.2650231e-13 2.9444160e-13 + 2.4615510e-13 6.6748999e-13 1.2998371e-13 3.0448411e-13 + 2.3983852e-13 6.4660369e-13 1.3343276e-13 3.1449245e-13 + 2.3388724e-13 6.2702841e-13 1.3685093e-13 3.2446789e-13 + 2.2826905e-13 6.0864275e-13 1.4023956e-13 3.3441160e-13 + 2.2295551e-13 5.9133981e-13 1.4359991e-13 3.4432468e-13 + 2.1792138e-13 5.7502536e-13 1.4693314e-13 3.5420816e-13 + 2.1314420e-13 5.5961591e-13 1.5024033e-13 3.6406301e-13 + 2.0860389e-13 5.4503709e-13 1.5352248e-13 3.7389012e-13 + 2.0428245e-13 5.3122250e-13 1.5678052e-13 3.8369035e-13 + 2.0016370e-13 5.1811267e-13 1.6001535e-13 3.9346451e-13 + 1.9623304e-13 5.0565428e-13 1.6322777e-13 4.0321334e-13 + 1.9247729e-13 4.9379926e-13 1.6641855e-13 4.1293757e-13 + 1.8888447e-13 4.8250408e-13 1.6958843e-13 4.2263786e-13 + 1.8544370e-13 4.7172943e-13 1.7273807e-13 4.3231486e-13 + 1.8214507e-13 4.6143965e-13 1.7586813e-13 4.4196917e-13 + 1.7897954e-13 4.5160223e-13 1.7897921e-13 4.5160136e-13 + 9.7954133e-13 3.5183358e-12 2.8353965e-14 4.6314980e-14 + 8.3867184e-13 2.9250235e-12 3.3750811e-14 5.7440386e-14 + 7.3738051e-13 2.5086583e-12 3.8894152e-14 6.8461440e-14 + 6.6061065e-13 2.1996063e-12 4.3828449e-14 7.9377729e-14 + 6.0017026e-13 1.9607028e-12 4.8586515e-14 9.0193366e-14 + 5.5119563e-13 1.7702535e-12 5.3193370e-14 1.0091406e-13 + 5.1060536e-13 1.6147182e-12 5.7668592e-14 1.1154586e-13 + 4.7634658e-13 1.4851978e-12 6.2027835e-14 1.2209470e-13 + 4.4699561e-13 1.3755966e-12 6.6283854e-14 1.3256610e-13 + 4.2153218e-13 1.2815963e-12 7.0447205e-14 1.4296517e-13 + 3.9920483e-13 1.2000488e-12 7.4526741e-14 1.5329656e-13 + 3.7944708e-13 1.1286049e-12 7.8529974e-14 1.6356448e-13 + 3.6182333e-13 1.0654742e-12 8.2463340e-14 1.7377277e-13 + 3.4599275e-13 1.0092685e-12 8.6332403e-14 1.8392490e-13 + 3.3168463e-13 9.5889373e-13 9.0142009e-14 1.9402400e-13 + 3.1868103e-13 9.1347641e-13 9.3896409e-14 2.0407294e-13 + 3.0680443e-13 8.7231022e-13 9.7599356e-14 2.1407431e-13 + 2.9590866e-13 8.3481741e-13 1.0125418e-13 2.2403050e-13 + 2.8587219e-13 8.0052122e-13 1.0486386e-13 2.3394368e-13 + 2.7659316e-13 7.6902438e-13 1.0843106e-13 2.4381584e-13 + 2.6798545e-13 7.3999309e-13 1.1195818e-13 2.5364880e-13 + 2.5997576e-13 7.1314527e-13 1.1544741e-13 2.6344428e-13 + 2.5250128e-13 6.8824021e-13 1.1890072e-13 2.7320381e-13 + 2.4550785e-13 6.6507143e-13 1.2231991e-13 2.8292886e-13 + 2.3894853e-13 6.4346144e-13 1.2570663e-13 2.9262076e-13 + 2.3278238e-13 6.2325565e-13 1.2906241e-13 3.0228076e-13 + 2.2697358e-13 6.0431979e-13 1.3238864e-13 3.1191003e-13 + 2.2149058e-13 5.8653626e-13 1.3568659e-13 3.2150964e-13 + 2.1630553e-13 5.6980136e-13 1.3895747e-13 3.3108063e-13 + 2.1139372e-13 5.5402381e-13 1.4220238e-13 3.4062392e-13 + 2.0673316e-13 5.3912273e-13 1.4542235e-13 3.5014043e-13 + 2.0230419e-13 5.2502581e-13 1.4861834e-13 3.5963098e-13 + 1.9808919e-13 5.1166889e-13 1.5179123e-13 3.6909637e-13 + 1.9407232e-13 4.9899448e-13 1.5494187e-13 3.7853733e-13 + 1.9023931e-13 4.8695059e-13 1.5807104e-13 3.8795457e-13 + 1.8657722e-13 4.7549089e-13 1.6117947e-13 3.9734875e-13 + 1.8307437e-13 4.6457305e-13 1.6426785e-13 4.0672049e-13 + 1.7972009e-13 4.5415917e-13 1.6733684e-13 4.1607039e-13 + 1.7650470e-13 4.4421454e-13 1.7038704e-13 4.2539901e-13 + 1.7341934e-13 4.3470773e-13 1.7341904e-13 4.3470688e-13 + 9.5699518e-13 3.4084329e-12 2.7170216e-14 4.4093475e-14 + 8.1881297e-13 2.8323265e-12 3.2371890e-14 5.4748462e-14 + 7.1950111e-13 2.4281755e-12 3.7334027e-14 6.5314097e-14 + 6.4426311e-13 2.1282796e-12 4.2098337e-14 7.5787715e-14 + 5.8505101e-13 1.8965163e-12 4.6695675e-14 8.6171668e-14 + 5.3708797e-13 1.7118032e-12 5.1149613e-14 9.6470264e-14 + 4.9734848e-13 1.5609853e-12 5.5478620e-14 1.0668844e-13 + 4.6381740e-13 1.4354187e-12 5.9697483e-14 1.1683119e-13 + 4.3509757e-13 1.3291831e-12 6.3818256e-14 1.2690328e-13 + 4.1018796e-13 1.2380850e-12 6.7850920e-14 1.3690917e-13 + 3.8835142e-13 1.1590683e-12 7.1803851e-14 1.4685296e-13 + 3.6903235e-13 1.0898523e-12 7.5684162e-14 1.5673840e-13 + 3.5180358e-13 1.0286992e-12 7.9497949e-14 1.6656890e-13 + 3.3633097e-13 9.7426186e-13 8.3250486e-14 1.7634759e-13 + 3.2234911e-13 9.2547880e-13 8.6946369e-14 1.8607731e-13 + 3.0964440e-13 8.8150196e-13 9.0589630e-14 1.9576063e-13 + 2.9804285e-13 8.4164627e-13 9.4183832e-14 2.0539992e-13 + 2.8740123e-13 8.0535133e-13 9.7732139e-14 2.1499733e-13 + 2.7760049e-13 7.7215462e-13 1.0123738e-13 2.2455485e-13 + 2.6854084e-13 7.4167087e-13 1.0470208e-13 2.3407430e-13 + 2.6013792e-13 7.1357638e-13 1.0812853e-13 2.4355734e-13 + 2.5231996e-13 6.8759749e-13 1.1151879e-13 2.5300553e-13 + 2.4502545e-13 6.6350081e-13 1.1487476e-13 2.6242029e-13 + 2.3820136e-13 6.4108642e-13 1.1819814e-13 2.7180295e-13 + 2.3180174e-13 6.2018175e-13 1.2149050e-13 2.8115474e-13 + 2.2578651e-13 6.0063729e-13 1.2475328e-13 2.9047681e-13 + 2.2012061e-13 5.8232300e-13 1.2798781e-13 2.9977022e-13 + 2.1477318e-13 5.6512436e-13 1.3119531e-13 3.0903597e-13 + 2.0971694e-13 5.4894147e-13 1.3437693e-13 3.1827500e-13 + 2.0492773e-13 5.3368562e-13 1.3753370e-13 3.2748819e-13 + 2.0038403e-13 5.1927816e-13 1.4066660e-13 3.3667635e-13 + 1.9606660e-13 5.0564954e-13 1.4377656e-13 3.4584025e-13 + 1.9195821e-13 4.9273722e-13 1.4686441e-13 3.5498064e-13 + 1.8804337e-13 4.8048565e-13 1.4993097e-13 3.6409819e-13 + 1.8430811e-13 4.6884446e-13 1.5297696e-13 3.7319354e-13 + 1.8073979e-13 4.5776866e-13 1.5600310e-13 3.8226732e-13 + 1.7732697e-13 4.4721735e-13 1.5901003e-13 3.9132010e-13 + 1.7405924e-13 4.3715380e-13 1.6199839e-13 4.0035243e-13 + 1.7092712e-13 4.2754431e-13 1.6496875e-13 4.0936483e-13 + 1.6792194e-13 4.1835851e-13 1.6792167e-13 4.1835779e-13 + 9.3432120e-13 3.3015235e-12 2.6019012e-14 4.1962765e-14 + 7.9887218e-13 2.7421874e-12 3.1028922e-14 5.2163900e-14 + 7.0157096e-13 2.3499382e-12 3.5812727e-14 6.2289817e-14 + 6.2788716e-13 2.0589631e-12 4.0409521e-14 7.2335772e-14 + 5.6991998e-13 1.8341545e-12 4.4848285e-14 8.2302473e-14 + 5.2298130e-13 1.6550277e-12 4.9151200e-14 9.2192920e-14 + 4.8410259e-13 1.5088031e-12 5.3335675e-14 1.0201100e-13 + 4.5130723e-13 1.3870855e-12 5.7415659e-14 1.1176082e-13 + 4.2322509e-13 1.2841259e-12 6.1402534e-14 1.2144644e-13 + 3.9887470e-13 1.1958528e-12 6.5305728e-14 1.3107170e-13 + 3.7753347e-13 1.1192991e-12 6.9133160e-14 1.4064018e-13 + 3.5865687e-13 1.0522510e-12 7.2891553e-14 1.5015518e-13 + 3.4182631e-13 9.9302221e-13 7.6586678e-14 1.5961975e-13 + 3.2671440e-13 9.4030537e-13 8.0223525e-14 1.6903666e-13 + 3.1306114e-13 8.9307028e-13 8.3806448e-14 1.7840845e-13 + 3.0065732e-13 8.5049477e-13 8.7339270e-14 1.8773745e-13 + 2.8933256e-13 8.1191362e-13 9.0825367e-14 1.9702579e-13 + 2.7894660e-13 7.7678353e-13 9.4267739e-14 2.0627543e-13 + 2.6938290e-13 7.4465602e-13 9.7669068e-14 2.1548815e-13 + 2.6054376e-13 7.1515727e-13 1.0103176e-13 2.2466562e-13 + 2.5234664e-13 6.8797353e-13 1.0435798e-13 2.3380935e-13 + 2.4472128e-13 6.6283925e-13 1.0764969e-13 2.4292074e-13 + 2.3760750e-13 6.3952843e-13 1.1090868e-13 2.5200112e-13 + 2.3095342e-13 6.1784717e-13 1.1413658e-13 2.6105168e-13 + 2.2471408e-13 5.9762816e-13 1.1733488e-13 2.7007355e-13 + 2.1885029e-13 5.7872650e-13 1.2050494e-13 2.7906777e-13 + 2.1332774e-13 5.6101599e-13 1.2364802e-13 2.8803534e-13 + 2.0811626e-13 5.4438594e-13 1.2676529e-13 2.9697716e-13 + 2.0318918e-13 5.2873938e-13 1.2985783e-13 3.0589408e-13 + 1.9852286e-13 5.1399028e-13 1.3292663e-13 3.1478693e-13 + 1.9409626e-13 5.0006268e-13 1.3597263e-13 3.2365644e-13 + 1.8989059e-13 4.8688887e-13 1.3899669e-13 3.3250333e-13 + 1.8588899e-13 4.7440849e-13 1.4199962e-13 3.4132827e-13 + 1.8207633e-13 4.6256761e-13 1.4498218e-13 3.5013190e-13 + 1.7843894e-13 4.5131758e-13 1.4794507e-13 3.5891480e-13 + 1.7496449e-13 4.4061467e-13 1.5088897e-13 3.6767754e-13 + 1.7164178e-13 4.3041935e-13 1.5381450e-13 3.7642067e-13 + 1.6846065e-13 4.2069595e-13 1.5672225e-13 3.8514467e-13 + 1.6541183e-13 4.1141201e-13 1.5961278e-13 3.9385004e-13 + 1.6248686e-13 4.0253791e-13 1.6248662e-13 4.0253723e-13 + 9.1151966e-13 3.1975242e-12 2.4899896e-14 3.9919704e-14 + 7.7885012e-13 2.6545337e-12 2.9721484e-14 4.9683038e-14 + 6.8359095e-13 2.2738831e-12 3.4329869e-14 5.9384452e-14 + 6.1148380e-13 1.9915984e-12 3.8761659e-14 6.9017289e-14 + 5.5477823e-13 1.7735646e-12 4.3044045e-14 7.8580727e-14 + 5.0887668e-13 1.5998782e-12 4.7197875e-14 8.8076545e-14 + 4.7086880e-13 1.4581268e-12 5.1239538e-14 9.7507633e-14 + 4.3881719e-13 1.3401568e-12 5.5182184e-14 1.0687729e-13 + 4.1137927e-13 1.2403862e-12 5.9036546e-14 1.1618889e-13 + 3.8759350e-13 1.1548624e-12 6.2811525e-14 1.2544568e-13 + 3.6675208e-13 1.0807058e-12 6.6514595e-14 1.3465078e-13 + 3.4832172e-13 1.0157673e-12 7.0152108e-14 1.4380705e-13 + 3.3189256e-13 9.5841118e-13 7.3729517e-14 1.5291716e-13 + 3.1714405e-13 9.0736796e-13 7.7251542e-14 1.6198359e-13 + 3.0382171e-13 8.6163899e-13 8.0722300e-14 1.7100859e-13 + 2.9172078e-13 8.2042613e-13 8.4145409e-14 1.7999423e-13 + 2.8067451e-13 7.8308465e-13 8.7524067e-14 1.8894244e-13 + 2.7054570e-13 7.4908752e-13 9.0861116e-14 1.9785497e-13 + 2.6122032e-13 7.1799959e-13 9.4159097e-14 2.0673343e-13 + 2.5260281e-13 6.8945857e-13 9.7420288e-14 2.1557933e-13 + 2.4461246e-13 6.6316018e-13 1.0064675e-13 2.2439403e-13 + 2.3718055e-13 6.3884715e-13 1.0384033e-13 2.3317883e-13 + 2.3024824e-13 6.1630023e-13 1.0700274e-13 2.4193489e-13 + 2.2376482e-13 5.9533150e-13 1.1013552e-13 2.5066333e-13 + 2.1768633e-13 5.7577901e-13 1.1324007e-13 2.5936517e-13 + 2.1197447e-13 5.5750192e-13 1.1631770e-13 2.6804136e-13 + 2.0659571e-13 5.4037829e-13 1.1936960e-13 2.7669280e-13 + 2.0152055e-13 5.2430080e-13 1.2239688e-13 2.8532032e-13 + 1.9672294e-13 5.0917528e-13 1.2540056e-13 2.9392470e-13 + 1.9217979e-13 4.9491851e-13 1.2838159e-13 3.0250669e-13 + 1.8787054e-13 4.8145710e-13 1.3134084e-13 3.1106697e-13 + 1.8377682e-13 4.6872517e-13 1.3427915e-13 3.1960619e-13 + 1.7988217e-13 4.5666440e-13 1.3719728e-13 3.2812497e-13 + 1.7617182e-13 4.4522252e-13 1.4009595e-13 3.3662389e-13 + 1.7263241e-13 4.3435228e-13 1.4297583e-13 3.4510349e-13 + 1.6925191e-13 4.2401153e-13 1.4583757e-13 3.5356430e-13 + 1.6601937e-13 4.1416191e-13 1.4868175e-13 3.6200680e-13 + 1.6292488e-13 4.0476890e-13 1.5150893e-13 3.7043147e-13 + 1.5995938e-13 3.9580100e-13 1.5431965e-13 3.7883874e-13 + 1.5711463e-13 3.8722963e-13 1.5711441e-13 3.8722903e-13 diff --git a/external/HyRec2020/README.md b/external/HyRec2020/README.md new file mode 100644 index 00000000..2ba6f703 --- /dev/null +++ b/external/HyRec2020/README.md @@ -0,0 +1,7 @@ +# HYREC-2 +By Yacine Ali-Haimoud and Chris Hirata (2010-17) + with contributions from Nanoom Lee (2020). + +Version July 2020. + +See readme.pdf for detailed info. diff --git a/hyrec/R_inf.dat b/external/HyRec2020/R_inf.dat similarity index 100% rename from hyrec/R_inf.dat rename to external/HyRec2020/R_inf.dat diff --git a/external/HyRec2020/energy_injection.c b/external/HyRec2020/energy_injection.c new file mode 100644 index 00000000..7b7aa0ae --- /dev/null +++ b/external/HyRec2020/energy_injection.c @@ -0,0 +1,249 @@ +/******************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* energy_injection.c: functions for the energy injection rate by various physical processes */ +/* */ +/******************************************************************************************************/ + +#include +#include +#include +#include "hyrectools.h" +#include "energy_injection.h" + + +/*************************************************************************************** +Total volumic rate of energy *injection*, in eV/cm^3/s due to DM annihilation +in the smooth background and in haloes as in Giesen et al 1209.0247 +****************************************************************************************/ + +double dEdtdV_DM_ann(double z, INJ_PARAMS *params){ + + double pann_tot, u_min, erfc; + double zp1, zp1_ann, zp1_max, zp1_min, var, zp1_halo; + + var = params->ann_var; + zp1 = z + 1.; + zp1_ann = params->ann_z + 1.; + zp1_max = params->ann_zmax + 1.; + zp1_halo = params->ann_z_halo + 1.; + zp1_min = params->ann_zmin + 1.; + + pann_tot = 0.; + + /* Dark matter annihilation in the smooth background */ + if (params->pann > 0.) { + + /* Parametrized variation of pann */ + if (zp1 > zp1_max) pann_tot = params->pann *exp(-var *square(log(zp1_ann/zp1_max))); + else if (zp1 > zp1_min) { + pann_tot = params->pann *exp(var*(-square(log(zp1_ann/zp1_max)) + +square(log(zp1/zp1_max)))); + } + else { + pann_tot = params->pann *exp(var*(-square(log(zp1_ann/zp1_max)) + +square(log(zp1_min/zp1_max)))); + } + pann_tot = pann_tot*pow(zp1,3.); + } + + /* Dark matter annihilation in haloes */ + if (params->pann_halo > 0.) { + u_min = zp1/zp1_halo; + erfc = pow(1.+0.278393*u_min+0.230389*u_min*u_min+0.000972*u_min*u_min*u_min+0.078108*u_min*u_min*u_min*u_min,-4); + pann_tot += params->pann_halo *erfc; + } + + return square(10537.4*params->odmh2) * zp1*zp1*zp1*1e-9* pann_tot + +10537.4*params->odmh2*pow((1+z),3)*params->decay; + /* the prefactor is 3 H100^2/(8 Pi G) c^2 in eV/cm^3, H100 = 100km/s/Mpc */ + /* pann is given in cm^3/s/GeV, multiply by 1e-9 to get cm^3/s/eV */ + +} + +/*************************************************************************************** +Effect of accreting primordial black holes +Since the accuracy is certainly not at the percent level, +we assume best-fit values for all cosmological parameters and neglect Helium +Throughout, Mpbh is in solar masses, Teff in Kelvins +***************************************************************************************/ + + +/* Dimensionless Compton drag rate */ +double beta_pbh(double Mpbh, double z, double xe, double Teff) { + double a, vB, tB; + + a = 1./(1.+z); + vB = 9.09e3 * sqrt((1.+xe)*Teff); /* Bondi speed in cm/s */ + tB = 1.33e26 *Mpbh/vB/vB/vB; /* Bondi timescale in sec*/ + + return 5.60e-24 *xe/a/a/a/a *tB; +} + + /* Dimensionless Compton cooling rate */ +double gamma_pbh(double Mpbh, double z, double xe, double Teff) { + return 2.*1836./(1.+xe) *beta_pbh(Mpbh, z, xe, Teff); +} + +/* Dimensionless accretion rate */ +double lambda_pbh(double Mpbh, double z, double xe, double Teff) { + double beta, gamma, lam_ricotti, lam_ad, lam_iso, lam_nodrag; + + beta = beta_pbh(Mpbh, z, xe, Teff); + gamma = gamma_pbh(Mpbh, z, xe, Teff); + + lam_ricotti = exp(4.5/(3.+pow(beta, 0.75)))/square(sqrt(1.+beta)+1.); + /* Fitting formula from Ricotti 2007 for the fully isothermal case */ + lam_ad = pow(0.6, 1.5)/4.; + lam_iso = exp(1.5)/4.; + + lam_nodrag = lam_ad + (lam_iso - lam_ad) * pow(gamma*gamma/(88. + gamma*gamma), 0.22); /* Fitting formula for the no-drag case */ + + return lam_ricotti *lam_nodrag /lam_iso; +} + +/* Accretion rate (in g/s), accounting for Compton drag and Compton cooling.*/ +double Mdot_pbh(double Mpbh, double z, double xe, double Teff) { + + double vB = 9.09e3 * sqrt((1.+xe)*Teff); /* Bondi speed in cm/s */ + + return 8.81e22 * Mpbh*Mpbh*cube((1.+z)/vB) *lambda_pbh(Mpbh, z, xe, Teff); +} + +/* Temperature of the flow near the Shchwarzschild radius divided by m_e c^2 */ +double TS_over_me_pbh(double Mpbh, double z, double xe, double Teff) { + double gamma, tau, omega, Y; + + gamma = gamma_pbh(Mpbh, z, xe, Teff); + + tau = 1.5/(5. + pow(gamma, 2./3.)); /* T/Teff -> tau *rB/r for r << rB */ + omega = sqrt(2. - 5*tau); /* v/vB -> -omega *sqrt(rB/r) for r << rB */ + + Y = pow((1.+ xe)/2., 7.) * tau/2. *pow(omega/4.,2./3.)*1836.; + + return Y /pow(1.+Y/0.27, 1./3.); +} + +/* Radiative efficiency divided by \dot{m} */ +double eps_over_mdot_pbh(double Mpbh, double z, double xe, double Teff) { + double X, G; + + X = TS_over_me_pbh(Mpbh, z, xe, Teff); + + /* Fit to the (e-e + e-p) free-free Gaunt factor */ + if (X < 1) G = 4./M_PI * sqrt(2./M_PI/X) *(1.+ 5.5*pow(X, 1.25)); + else G = 27./2./M_PI *(log(2.*X*0.56146 + 0.08) + 4./3.); + + return X/1836./137. * G; /* alpha[fine-struct] * TS/mp * G */ +} + +/* Luminosity of a single PBH in erg/s*/ +double L_pbh(double Mpbh, double z, double xe, double Teff) { + double Mdot, mdot, eff; + + Mdot = Mdot_pbh(Mpbh, z, xe, Teff); + mdot = Mdot / (1.4e17 * Mpbh); /* Mdot c^2 / L_Eddington */ + eff = mdot *eps_over_mdot_pbh(Mpbh, z, xe, Teff); + + return eff * Mdot * 9e20; /* L = epsilon Mdot c^2 */ +} + +/* Very approximate value of the rms relative velocity, in cm/s */ +double vbc_rms_func(double z) { + if (z < 1e3) return 30e5 * (1.+z)/1e3; + else return 30e5; +} + +/* Average of the pbh luminosity over the distribution of relative velocities */ +double L_pbh_av(double Mpbh, double z, double xe, double Tgas) { + double vbc_rms, vbc_max, vbc, P_vbc, num, denom, x, Teff; + int i, Nvbc; + + Nvbc = 50; // More than enough at the level of precision we use + + vbc_rms = vbc_rms_func(z); + + vbc_max = 5.*vbc_rms; + + num = denom = 0.; + for (i = 0; i < Nvbc; i++) { + vbc = i*vbc_max/(Nvbc-1.); + x = vbc/vbc_rms; + denom += P_vbc = x*x* exp(-1.5*x*x); + + Teff = Tgas + 121e-10 *vbc*vbc/(1.+xe); + + num += L_pbh(Mpbh, z, xe, Teff) * P_vbc; + } + + return num/denom; +} + +/* Rate of energy *injection* per unit volume (in erg/cm^3/s) due to PBHs*/ +double dEdtdV_pbh(double fpbh, double Mpbh, double z, double xe, double Tgas) { + double xe_used = (xe < 1.? xe : 1.); /* Since we are not accounting for Helium */ + if (fpbh > 0.) { + return 6.12e-52/Mpbh * cube(1.+z) * fpbh *L_pbh_av(Mpbh, z, xe_used, Tgas); + } + else return 0.; +} + +/*********************************************************************************** +Total energy *injection* rate per unit volume +Add in your favorite energy injection mechanism here +***********************************************************************************/ + +double dEdtdV_inj(double z, double xe, double Tgas, INJ_PARAMS *params){ + return dEdtdV_DM_ann(z, params) + + dEdtdV_pbh(params->fpbh, params->Mpbh, z, xe, Tgas); +} + + +/********************************************************************************** +Energy *deposition* rate per unit volume +Essentially use a very simple ODE solution +**********************************************************************************/ + +void update_dEdtdV_dep(double z_out, double dlna, double xe, double Tgas, + double nH, double H, INJ_PARAMS *params, double *dEdtdV_dep) { + + double inj = dEdtdV_inj(z_out, xe, Tgas, params); + + if (params->on_the_spot == 1) *dEdtdV_dep = inj; + + // Else put in your favorite recipe to translate from injection to deposition + // Here I assume injected photon spectrum Compton cools at rate dE/dt = - 0.1 n_h c sigma_T E + // This is valid for E_photon ~ MeV or so. + + else { // c sigma_T = 2e-14 (cgs) + *dEdtdV_dep = (*dEdtdV_dep *exp(-7.*dlna) + 2e-15* dlna*nH/H *inj) + /(1.+ 2e-15 *dlna*nH/H); + } +} + +/******************************************************************************* +Fraction of energy deposited in the form of heat, ionization and excitations +*******************************************************************************/ + +double chi_heat(double xe) { + return (1.+2.*xe)/3.; // Approximate value of Chen & Kamionkowski 2004 + + // fit by Vivian Poulin of columns 1 and 2 in Table V of Galli et al. 2013 + // overall coefficient slightly changed by YAH so it reaches exactly 1 at xe = 1. + // return (xe < 1.? 1.-pow(1.-pow(xe,0.300134),1.51035) : 1.); +} + +double chi_ion(double xe) { + return (1.-xe)/3.; // Approximate value of Chen & Kamionkowski 2004 + + // fit by Vivian Poulin of columns 1 and 4 in Table V of Galli et al. 2013 + // return 0.369202*pow(1.-pow(xe,0.463929),1.70237); +} + +double chi_exc(double xe) { + return 1. - chi_ion(xe) - chi_heat(xe); +} + + diff --git a/external/HyRec2020/energy_injection.h b/external/HyRec2020/energy_injection.h new file mode 100644 index 00000000..e58c7a27 --- /dev/null +++ b/external/HyRec2020/energy_injection.h @@ -0,0 +1,32 @@ +/* Structure with all energy injection parameters */ +/* If adding a new energy injection process + make sure to add relevant parameters here */ + +#ifndef __ENERGY_INJECTION__ +#define __ENERGY_INJECTION__ + +typedef struct { + + double odmh2; /* Omega_dm h^2 */ + + double pann, pann_halo; /* DM annihilation parameter in the smooth background and in haloes */ + /* Units of pann and pann_halo are cm^3/s/GeV */ + + double ann_z, ann_zmax, ann_zmin, ann_var; /* Parameters for the variation of pann(z) */ + double ann_z_halo; /* Characteristic redshift for annihilation in haloes */ + + double decay; + + double Mpbh, fpbh; /* Mass and fraction of DM made of primordial black holes */ + + int on_the_spot; /* if set to 1 assume energy deposition rate = injection rate */ + /* Otherwise solves for deposition given injection with simple recipe */ + + double ion, exclya; + +} INJ_PARAMS; + +void update_dEdtdV_dep(double z_out, double dlna, double xe, double Tgas, + double nH, double H, INJ_PARAMS *params, double *dEdtdV_dep); + +#endif diff --git a/external/HyRec2020/fit_swift.dat b/external/HyRec2020/fit_swift.dat new file mode 100644 index 00000000..fd0cfa4f --- /dev/null +++ b/external/HyRec2020/fit_swift.dat @@ -0,0 +1,265 @@ +1.775000e+03 -3.631352e-02 3.584254e-02 -7.258989e-01 1.320773e-04 +1.785000e+03 -3.572244e-02 3.458601e-02 -7.010202e-01 1.288863e-04 +1.795000e+03 -3.509898e-02 3.318837e-02 -6.744851e-01 1.235682e-04 +1.805000e+03 -3.444171e-02 3.172236e-02 -6.449809e-01 1.198262e-04 +1.815000e+03 -3.374928e-02 3.011050e-02 -6.133736e-01 1.152443e-04 +1.825000e+03 -3.302042e-02 2.839830e-02 -5.793844e-01 1.102837e-04 +1.835000e+03 -3.225410e-02 2.655726e-02 -5.441065e-01 1.040230e-04 +1.845000e+03 -3.144937e-02 2.462645e-02 -5.052070e-01 9.795355e-05 +1.855000e+03 -3.060536e-02 2.259101e-02 -4.651417e-01 9.079287e-05 +1.865000e+03 -2.972145e-02 2.046698e-02 -4.227787e-01 8.308124e-05 +1.875000e+03 -2.879718e-02 1.823386e-02 -3.784686e-01 7.542159e-05 +1.885000e+03 -2.783193e-02 1.591046e-02 -3.325174e-01 6.754363e-05 +1.895000e+03 -2.682538e-02 1.350395e-02 -2.844833e-01 5.966568e-05 +1.905000e+03 -2.577731e-02 1.101571e-02 -2.345414e-01 5.026698e-05 +1.915000e+03 -2.468729e-02 8.442066e-03 -1.829919e-01 4.107955e-05 +1.925000e+03 -2.355526e-02 5.786052e-03 -1.299622e-01 3.160442e-05 +1.935000e+03 -2.238110e-02 3.062319e-03 -7.549783e-02 2.172083e-05 +1.945000e+03 -2.116460e-02 2.655526e-04 -1.938454e-02 1.142112e-05 +1.955000e+03 -1.990597e-02 -2.595793e-03 3.812631e-02 8.863084e-07 +1.965000e+03 -1.860543e-02 -5.533854e-03 9.692278e-02 -1.020712e-05 +1.975000e+03 -1.726307e-02 -8.535950e-03 1.574213e-01 -2.120300e-05 +1.985000e+03 -1.587952e-02 -1.159220e-02 2.190269e-01 -3.288095e-05 +1.995000e+03 -1.445548e-02 -1.471637e-02 2.823129e-01 -4.469436e-05 +2.005000e+03 -1.299162e-02 -1.789742e-02 3.465159e-01 -5.749164e-05 +2.015000e+03 -1.148924e-02 -2.113263e-02 4.117785e-01 -6.961388e-05 +2.025000e+03 -9.949697e-03 -2.442403e-02 4.781010e-01 -8.233991e-05 +2.035000e+03 -8.374500e-03 -2.776196e-02 5.455653e-01 -9.531874e-05 +2.045000e+03 -6.765817e-03 -3.114557e-02 6.139979e-01 -1.085715e-04 +2.055000e+03 -5.125960e-03 -3.457126e-02 6.832796e-01 -1.220123e-04 +2.065000e+03 -3.457387e-03 -3.802933e-02 7.532550e-01 -1.356640e-04 +2.075000e+03 -1.763204e-03 -4.151938e-02 8.239607e-01 -1.495600e-04 +2.085000e+03 -4.666334e-05 -4.503261e-02 8.951105e-01 -1.634578e-04 +2.095000e+03 1.688797e-03 -4.856379e-02 9.666486e-01 -1.776026e-04 +2.105000e+03 3.439205e-03 -5.210613e-02 1.038402e+00 -1.918127e-04 +2.115000e+03 5.200577e-03 -5.565223e-02 1.110275e+00 -2.061361e-04 +2.125000e+03 6.968656e-03 -5.919502e-02 1.182107e+00 -2.204288e-04 +2.135000e+03 8.738973e-03 -6.272627e-02 1.253703e+00 -2.347206e-04 +2.145000e+03 1.050701e-02 -6.624037e-02 1.324826e+00 -2.489632e-04 +2.155000e+03 1.226814e-02 -6.973236e-02 1.395821e+00 -2.629107e-04 +2.165000e+03 1.401781e-02 -7.319121e-02 1.465846e+00 -2.773501e-04 +2.175000e+03 1.575147e-02 -7.661708e-02 1.535446e+00 -2.917895e-04 +2.185000e+03 1.746460e-02 -7.999583e-02 1.603684e+00 -3.054298e-04 +2.195000e+03 1.915306e-02 -8.333455e-02 1.671330e+00 -3.193334e-04 +2.205000e+03 2.081277e-02 -8.661875e-02 1.738071e+00 -3.331145e-04 +2.215000e+03 2.243980e-02 -8.984677e-02 1.803364e+00 -3.465955e-04 +2.225000e+03 2.403085e-02 -9.301872e-02 1.867833e+00 -3.600511e-04 +2.235000e+03 2.558270e-02 -9.612672e-02 1.930898e+00 -3.734741e-04 +2.245000e+03 2.709242e-02 -9.918342e-02 1.992738e+00 -3.864702e-04 +2.255000e+03 2.855778e-02 -1.021750e-01 2.053231e+00 -3.990686e-04 +2.265000e+03 2.997671e-02 -1.051181e-01 2.112801e+00 -4.118659e-04 +2.275000e+03 3.134770e-02 -1.080089e-01 2.170349e+00 -4.243771e-04 +2.285000e+03 3.266829e-02 -1.108067e-01 2.228320e+00 -4.373408e-04 +2.295000e+03 3.393940e-02 -1.135740e-01 2.284259e+00 -4.493205e-04 +2.305000e+03 3.515956e-02 -1.162928e-01 2.339164e+00 -4.615793e-04 +2.315000e+03 3.632877e-02 -1.189598e-01 2.393479e+00 -4.738846e-04 +2.325000e+03 3.744702e-02 -1.215771e-01 2.446609e+00 -4.861899e-04 +2.335000e+03 3.851449e-02 -1.241616e-01 2.499014e+00 -4.982233e-04 +2.345000e+03 3.953199e-02 -1.267053e-01 2.550563e+00 -5.102030e-04 +2.355000e+03 4.050011e-02 -1.292120e-01 2.601484e+00 -5.221221e-04 +2.365000e+03 4.141970e-02 -1.316874e-01 2.651749e+00 -5.344275e-04 +2.375000e+03 4.229194e-02 -1.341346e-01 2.701422e+00 -5.462409e-04 +2.385000e+03 4.311783e-02 -1.365526e-01 2.750503e+00 -5.590382e-04 +2.395000e+03 4.389846e-02 -1.389443e-01 2.799443e+00 -5.708515e-04 +2.405000e+03 4.463518e-02 -1.413236e-01 2.847590e+00 -5.835573e-04 +2.415000e+03 4.532906e-02 -1.436814e-01 2.895879e+00 -5.960289e-04 +2.425000e+03 4.598122e-02 -1.460180e-01 2.943569e+00 -6.085006e-04 +2.435000e+03 4.659295e-02 -1.483546e-01 2.990924e+00 -6.210568e-04 +2.445000e+03 4.716517e-02 -1.506618e-01 3.038129e+00 -6.343460e-04 +2.455000e+03 4.769889e-02 -1.529607e-01 3.085186e+00 -6.473914e-04 +2.465000e+03 4.819515e-02 -1.552586e-01 3.131945e+00 -6.603550e-04 +2.475000e+03 4.865468e-02 -1.575317e-01 3.178503e+00 -6.738105e-04 +2.485000e+03 4.907825e-02 -1.598046e-01 3.224873e+00 -6.872661e-04 +2.495000e+03 4.946662e-02 -1.620588e-01 3.271231e+00 -7.011431e-04 +2.505000e+03 4.982028e-02 -1.643074e-01 3.317390e+00 -7.150651e-04 +2.515000e+03 5.013972e-02 -1.665532e-01 3.363071e+00 -7.291084e-04 +2.525000e+03 5.042548e-02 -1.687792e-01 3.408695e+00 -7.430559e-04 +2.535000e+03 5.067775e-02 -1.709967e-01 3.454023e+00 -7.574953e-04 +2.545000e+03 5.089685e-02 -1.731960e-01 3.499189e+00 -7.719348e-04 +2.555000e+03 5.108305e-02 -1.753805e-01 3.544120e+00 -7.864306e-04 +2.565000e+03 5.123636e-02 -1.775547e-01 3.588690e+00 -8.013055e-04 +2.575000e+03 5.135692e-02 -1.797109e-01 3.632799e+00 -8.160211e-04 +2.585000e+03 5.144481e-02 -1.818546e-01 3.676547e+00 -8.311681e-04 +2.595000e+03 5.149990e-02 -1.839646e-01 3.719702e+00 -8.460995e-04 +2.605000e+03 5.152221e-02 -1.860642e-01 3.762686e+00 -8.615227e-04 +2.615000e+03 5.151173e-02 -1.881380e-01 3.805124e+00 -8.769037e-04 +2.625000e+03 5.146819e-02 -1.901857e-01 3.846724e+00 -8.920013e-04 +2.635000e+03 5.139157e-02 -1.922047e-01 3.888003e+00 -9.077925e-04 +2.645000e+03 5.128179e-02 -1.941960e-01 3.928690e+00 -9.232158e-04 +2.655000e+03 5.113854e-02 -1.961561e-01 3.968409e+00 -9.386390e-04 +2.665000e+03 5.096180e-02 -1.980767e-01 4.007219e+00 -9.545542e-04 +2.675000e+03 5.075145e-02 -1.999642e-01 4.045454e+00 -9.699493e-04 +2.685000e+03 5.050719e-02 -2.018067e-01 4.082684e+00 -9.854008e-04 +2.695000e+03 5.022902e-02 -2.036193e-01 4.119138e+00 -1.001128e-03 +2.705000e+03 4.991686e-02 -2.053795e-01 4.154491e+00 -1.016247e-03 +2.715000e+03 4.957042e-02 -2.070910e-01 4.188869e+00 -1.031816e-03 +2.725000e+03 4.918978e-02 -2.087567e-01 4.222050e+00 -1.046913e-03 +2.735000e+03 4.877491e-02 -2.103572e-01 4.253758e+00 -1.062517e-03 +2.745000e+03 4.832556e-02 -2.119152e-01 4.284766e+00 -1.077297e-03 +2.755000e+03 4.784191e-02 -2.134073e-01 4.314102e+00 -1.092062e-03 +2.765000e+03 4.732400e-02 -2.148472e-01 4.342054e+00 -1.106335e-03 +2.775000e+03 4.677167e-02 -2.162075e-01 4.368517e+00 -1.121259e-03 +2.785000e+03 4.618520e-02 -2.175088e-01 4.393703e+00 -1.135532e-03 +2.795000e+03 4.556469e-02 -2.187372e-01 4.417305e+00 -1.149646e-03 +2.805000e+03 4.491009e-02 -2.198972e-01 4.439227e+00 -1.162775e-03 +2.815000e+03 4.422179e-02 -2.209820e-01 4.459372e+00 -1.176556e-03 +2.825000e+03 4.349997e-02 -2.219772e-01 4.477732e+00 -1.189513e-03 +2.835000e+03 4.274472e-02 -2.228994e-01 4.494229e+00 -1.201992e-03 +2.845000e+03 4.195649e-02 -2.237322e-01 4.508832e+00 -1.214464e-03 +2.855000e+03 4.113557e-02 -2.244755e-01 4.521859e+00 -1.225937e-03 +2.865000e+03 4.028215e-02 -2.251360e-01 4.532317e+00 -1.237751e-03 +2.875000e+03 3.939678e-02 -2.256984e-01 4.541095e+00 -1.248580e-03 +2.885000e+03 3.847984e-02 -2.261541e-01 4.547896e+00 -1.258918e-03 +2.895000e+03 3.753162e-02 -2.265249e-01 4.552241e+00 -1.268763e-03 +2.905000e+03 3.655274e-02 -2.267857e-01 4.554301e+00 -1.278117e-03 +2.915000e+03 3.554365e-02 -2.269426e-01 4.554088e+00 -1.286951e-03 +2.925000e+03 3.450474e-02 -2.269940e-01 4.552078e+00 -1.295155e-03 +2.935000e+03 3.343668e-02 -2.269315e-01 4.547437e+00 -1.302867e-03 +2.945000e+03 3.233998e-02 -2.267564e-01 4.540089e+00 -1.309559e-03 +2.955000e+03 3.121510e-02 -2.264701e-01 4.530564e+00 -1.315830e-03 +2.965000e+03 3.006275e-02 -2.260619e-01 4.518491e+00 -1.321082e-03 +2.975000e+03 2.888345e-02 -2.255384e-01 4.504171e+00 -1.325800e-03 +2.985000e+03 2.767772e-02 -2.248894e-01 4.487062e+00 -1.329901e-03 +2.995000e+03 2.644624e-02 -2.241186e-01 4.467454e+00 -1.333020e-03 +3.005000e+03 2.518957e-02 -2.232176e-01 4.445136e+00 -1.335104e-03 +3.015000e+03 2.390820e-02 -2.221855e-01 4.420616e+00 -1.336856e-03 +3.025000e+03 2.260281e-02 -2.210310e-01 4.393068e+00 -1.337182e-03 +3.035000e+03 2.127391e-02 -2.197321e-01 4.362948e+00 -1.337072e-03 +3.045000e+03 1.992197e-02 -2.183060e-01 4.330488e+00 -1.335865e-03 +3.055000e+03 1.854758e-02 -2.167387e-01 4.295197e+00 -1.333731e-03 +3.065000e+03 1.715116e-02 -2.150309e-01 4.257337e+00 -1.330614e-03 +3.075000e+03 1.573313e-02 -2.131903e-01 4.216612e+00 -1.326512e-03 +3.085000e+03 1.429393e-02 -2.112015e-01 4.173377e+00 -1.321426e-03 +3.095000e+03 1.283394e-02 -2.090713e-01 4.127414e+00 -1.314865e-03 +3.105000e+03 1.135340e-02 -2.067962e-01 4.078730e+00 -1.307830e-03 +3.115000e+03 9.852652e-03 -2.043697e-01 4.027633e+00 -1.299411e-03 +3.125000e+03 8.331828e-03 -2.017964e-01 3.973831e+00 -1.289974e-03 +3.135000e+03 6.791061e-03 -1.990716e-01 3.917420e+00 -1.279351e-03 +3.145000e+03 5.230488e-03 -1.961953e-01 3.858480e+00 -1.267595e-03 +3.155000e+03 3.650038e-03 -1.931660e-01 3.796996e+00 -1.254607e-03 +3.165000e+03 2.049616e-03 -1.899809e-01 3.732997e+00 -1.240486e-03 +3.175000e+03 4.292280e-04 -1.866412e-01 3.666520e+00 -1.225123e-03 +3.185000e+03 -1.211477e-03 -1.831439e-01 3.597617e+00 -1.208534e-03 +3.195000e+03 -2.872788e-03 -1.794880e-01 3.526281e+00 -1.190637e-03 +3.205000e+03 -4.555025e-03 -1.756731e-01 3.452588e+00 -1.171516e-03 +3.215000e+03 -6.258734e-03 -1.716980e-01 3.376537e+00 -1.151072e-03 +3.225000e+03 -7.984423e-03 -1.675611e-01 3.298177e+00 -1.129261e-03 +3.235000e+03 -9.732767e-03 -1.632617e-01 3.217546e+00 -1.106210e-03 +3.245000e+03 -1.150433e-02 -1.588001e-01 3.134703e+00 -1.082004e-03 +3.255000e+03 -1.329993e-02 -1.541779e-01 3.049746e+00 -1.055752e-03 +3.265000e+03 -1.512035e-02 -1.493909e-01 2.962548e+00 -1.028569e-03 +3.275000e+03 -1.696653e-02 -1.444290e-01 2.873370e+00 -1.000182e-03 +3.285000e+03 -1.883934e-02 -1.393139e-01 2.781765e+00 -9.703193e-04 +3.295000e+03 -2.073964e-02 -1.340302e-01 2.688066e+00 -9.389808e-04 +3.305000e+03 -2.266867e-02 -1.285784e-01 2.592444e+00 -9.060470e-04 +3.315000e+03 -2.462694e-02 -1.229705e-01 2.494904e+00 -8.713047e-04 +3.325000e+03 -2.661544e-02 -1.171996e-01 2.394817e+00 -8.356982e-04 +3.335000e+03 -2.863516e-02 -1.112603e-01 2.293003e+00 -7.984891e-04 +3.345000e+03 -3.068677e-02 -1.051679e-01 2.189060e+00 -7.602566e-04 +3.355000e+03 -3.277082e-02 -9.890725e-02 2.082624e+00 -7.195970e-04 +3.365000e+03 -3.488799e-02 -9.249410e-02 1.974211e+00 -6.787385e-04 +3.375000e+03 -3.703873e-02 -8.592554e-02 1.863115e+00 -6.354204e-04 +3.385000e+03 -3.922255e-02 -7.920159e-02 1.749680e+00 -5.906520e-04 +3.395000e+03 -4.143977e-02 -7.232928e-02 1.633857e+00 -5.451997e-04 +3.405000e+03 -4.368981e-02 -6.532274e-02 1.515170e+00 -4.977797e-04 +3.415000e+03 -4.597192e-02 -5.817463e-02 1.393914e+00 -4.493759e-04 +3.425000e+03 -4.828519e-02 -5.088999e-02 1.269704e+00 -3.993485e-04 +3.435000e+03 -5.062804e-02 -4.348549e-02 1.142132e+00 -3.483187e-04 +3.445000e+03 -5.299870e-02 -3.596070e-02 1.011786e+00 -2.958130e-04 +3.455000e+03 -5.539540e-02 -2.832537e-02 8.779820e-01 -2.421688e-04 +3.465000e+03 -5.781474e-02 -2.059324e-02 7.408241e-01 -1.875290e-04 +3.475000e+03 -6.025420e-02 -1.277174e-02 6.003024e-01 -1.314181e-04 +3.485000e+03 -6.271060e-02 -4.865423e-03 4.565225e-01 -7.480620e-05 +3.495000e+03 -6.518025e-02 3.092700e-03 3.092829e-01 -1.737872e-05 +3.505000e+03 -6.765931e-02 1.110968e-02 1.585849e-01 4.136274e-05 +3.515000e+03 -7.014369e-02 1.915729e-02 4.720329e-03 1.001042e-04 +3.525000e+03 -7.262973e-02 2.723308e-02 -1.523965e-01 1.598295e-04 +3.535000e+03 -7.511180e-02 3.531593e-02 -3.121894e-01 2.200468e-04 +3.545000e+03 -7.758603e-02 4.338014e-02 -4.747297e-01 2.804399e-04 +3.555000e+03 -8.004802e-02 5.142244e-02 -6.396701e-01 3.408236e-04 +3.565000e+03 -8.249331e-02 5.941586e-02 -8.060692e-01 4.012071e-04 +3.575000e+03 -8.491742e-02 6.734317e-02 -9.743549e-01 4.617736e-04 +3.585000e+03 -8.731621e-02 7.519721e-02 -1.143815e+00 5.221169e-04 +3.595000e+03 -8.968640e-02 8.294965e-02 -1.314149e+00 5.823342e-04 +3.605000e+03 -9.202208e-02 9.058036e-02 -1.484215e+00 6.412657e-04 +3.615000e+03 -9.432053e-02 9.807615e-02 -1.654267e+00 6.998172e-04 +3.625000e+03 -9.657806e-02 1.054232e-01 -1.824005e+00 7.580667e-04 +3.635000e+03 -9.879098e-02 1.125987e-01 -1.992299e+00 8.148404e-04 +3.645000e+03 -1.009562e-01 1.196007e-01 -2.158051e+00 8.694342e-04 +3.655000e+03 -1.030704e-01 1.264141e-01 -2.325708e+00 9.252099e-04 +3.665000e+03 -1.051315e-01 1.330083e-01 -2.487897e+00 9.809858e-04 +3.675000e+03 -1.071345e-01 1.393148e-01 -2.649860e+00 1.030627e-03 +3.685000e+03 -1.090777e-01 1.454674e-01 -2.805632e+00 1.078227e-03 +3.695000e+03 -1.109581e-01 1.513433e-01 -2.958981e+00 1.130747e-03 +3.705000e+03 -1.127736e-01 1.569269e-01 -3.109790e+00 1.178347e-03 +3.715000e+03 -1.145215e-01 1.622612e-01 -3.255948e+00 1.220510e-03 +3.725000e+03 -1.161994e-01 1.673362e-01 -3.399146e+00 1.261528e-03 +3.735000e+03 -1.178051e-01 1.720813e-01 -3.540030e+00 1.306390e-03 +3.745000e+03 -1.193373e-01 1.765754e-01 -3.673344e+00 1.343563e-03 +3.755000e+03 -1.207913e-01 1.807874e-01 -3.806659e+00 1.379662e-03 +3.765000e+03 -1.221669e-01 1.846611e-01 -3.928735e+00 1.414756e-03 +3.775000e+03 -1.234618e-01 1.882754e-01 -4.049206e+00 1.446940e-03 +3.785000e+03 -1.246742e-01 1.915226e-01 -4.166716e+00 1.475797e-03 +3.795000e+03 -1.258033e-01 1.944875e-01 -4.275344e+00 1.504379e-03 +3.805000e+03 -1.268458e-01 1.970788e-01 -4.381011e+00 1.529909e-03 +3.815000e+03 -1.278009e-01 1.994317e-01 -4.482279e+00 1.551979e-03 +3.825000e+03 -1.286682e-01 2.014320e-01 -4.578063e+00 1.574183e-03 +3.835000e+03 -1.294446e-01 2.032090e-01 -4.665447e+00 1.593861e-03 +3.845000e+03 -1.301297e-01 2.045856e-01 -4.750386e+00 1.606162e-03 +3.855000e+03 -1.307230e-01 2.056915e-01 -4.830366e+00 1.618457e-03 +3.865000e+03 -1.312222e-01 2.064323e-01 -4.904948e+00 1.633215e-03 +3.875000e+03 -1.316274e-01 2.069841e-01 -4.975523e+00 1.640521e-03 +3.885000e+03 -1.319374e-01 2.071854e-01 -5.035214e+00 1.647973e-03 +3.895000e+03 -1.321508e-01 2.071823e-01 -5.094035e+00 1.652893e-03 +3.905000e+03 -1.322685e-01 2.068057e-01 -5.148762e+00 1.652893e-03 +3.915000e+03 -1.322882e-01 2.061563e-01 -5.195175e+00 1.652893e-03 +3.925000e+03 -1.323134e-01 2.051915e-01 -5.241587e+00 1.647973e-03 +3.935000e+03 -1.321550e-01 2.040856e-01 -5.282077e+00 1.643054e-03 +3.945000e+03 -1.318795e-01 2.027680e-01 -5.316646e+00 1.638717e-03 +3.955000e+03 -1.315022e-01 2.011528e-01 -5.345294e+00 1.628296e-03 +3.965000e+03 -1.310262e-01 1.993176e-01 -5.368021e+00 1.618457e-03 +3.975000e+03 -1.304509e-01 1.972781e-01 -5.388095e+00 1.604211e-03 +3.985000e+03 -1.297784e-01 1.949956e-01 -5.403899e+00 1.593861e-03 +3.995000e+03 -1.290070e-01 1.925722e-01 -5.413782e+00 1.574183e-03 +4.005000e+03 -1.281389e-01 1.898729e-01 -5.420704e+00 1.559866e-03 +4.015000e+03 -1.271758e-01 1.870729e-01 -5.421705e+00 1.538526e-03 +4.025000e+03 -1.261164e-01 1.840490e-01 -5.420970e+00 1.517186e-03 +4.035000e+03 -1.249637e-01 1.809190e-01 -5.415049e+00 1.495845e-03 +4.045000e+03 -1.237190e-01 1.776666e-01 -5.406167e+00 1.474505e-03 +4.055000e+03 -1.223828e-01 1.742783e-01 -5.392545e+00 1.448245e-03 +4.065000e+03 -1.209596e-01 1.707490e-01 -5.376560e+00 1.421985e-03 +4.075000e+03 -1.194488e-01 1.671100e-01 -5.352875e+00 1.397088e-03 +4.085000e+03 -1.178553e-01 1.633918e-01 -5.328508e+00 1.369465e-03 +4.095000e+03 -1.161827e-01 1.595998e-01 -5.299721e+00 1.338286e-03 +4.105000e+03 -1.144328e-01 1.556938e-01 -5.268251e+00 1.312026e-03 +4.115000e+03 -1.126125e-01 1.518585e-01 -5.228857e+00 1.280847e-03 +4.125000e+03 -1.107240e-01 1.478843e-01 -5.187270e+00 1.249827e-03 +4.135000e+03 -1.087746e-01 1.439055e-01 -5.140858e+00 1.223408e-03 +4.145000e+03 -1.067680e-01 1.399290e-01 -5.091485e+00 1.189062e-03 +4.155000e+03 -1.047114e-01 1.359538e-01 -5.036245e+00 1.161049e-03 +4.165000e+03 -1.026137e-01 1.319760e-01 -4.976989e+00 1.126525e-03 +4.175000e+03 -1.004780e-01 1.280459e-01 -4.911813e+00 1.097009e-03 +4.185000e+03 -9.831575e-02 1.240938e-01 -4.842495e+00 1.065052e-03 +4.195000e+03 -9.613009e-02 1.201970e-01 -4.767739e+00 1.034365e-03 +4.205000e+03 -9.393332e-02 1.163521e-01 -4.688636e+00 1.003686e-03 +4.215000e+03 -9.172831e-02 1.125377e-01 -4.604293e+00 9.734877e-04 +4.225000e+03 -8.952670e-02 1.087848e-01 -4.515603e+00 9.426463e-04 +4.235000e+03 -8.733337e-02 1.051094e-01 -4.422868e+00 9.127837e-04 +4.245000e+03 -8.515585e-02 1.014905e-01 -4.326683e+00 8.829576e-04 +4.255000e+03 -8.300220e-02 9.795388e-02 -4.226353e+00 8.546691e-04 +4.265000e+03 -8.087577e-02 9.446727e-02 -4.124040e+00 8.263450e-04 +4.275000e+03 -7.878515e-02 9.109319e-02 -4.019134e+00 7.977796e-04 +4.285000e+03 -7.673229e-02 8.778737e-02 -3.912074e+00 7.715915e-04 +4.295000e+03 -7.472334e-02 8.457304e-02 -3.803968e+00 7.449222e-04 +4.305000e+03 -7.276176e-02 8.142916e-02 -3.693368e+00 7.185555e-04 +4.315000e+03 -7.085052e-02 7.836692e-02 -3.585383e+00 6.922116e-04 +4.325000e+03 -6.899267e-02 7.537678e-02 -3.475674e+00 6.678985e-04 +4.335000e+03 -6.718980e-02 7.252363e-02 -3.367673e+00 6.478340e-04 +4.345000e+03 -6.544403e-02 6.980661e-02 -3.255345e+00 6.209897e-04 +4.355000e+03 -6.375648e-02 6.708892e-02 -3.150738e+00 6.046508e-04 +4.365000e+03 -6.212674e-02 6.461236e-02 -3.046291e+00 5.819638e-04 +4.375000e+03 -6.055174e-02 6.225466e-02 -2.959132e+00 5.629658e-04 +4.385000e+03 -5.903337e-02 6.039468e-02 -2.913218e+00 5.483856e-04 +4.395000e+03 -5.758125e-02 5.940689e-02 -2.958227e+00 5.307294e-04 +4.405000e+03 -5.645325e-02 6.128863e-02 -3.255930e+00 5.447182e-04 +4.415000e+03 -5.489227e-02 6.942021e-02 -4.241939e+00 6.363997e-04 diff --git a/external/HyRec2020/helium.c b/external/HyRec2020/helium.c new file mode 100644 index 00000000..9e165e78 --- /dev/null +++ b/external/HyRec2020/helium.c @@ -0,0 +1,185 @@ +/*************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* helium.c: all functions related to helium recombination (and Saha-equilibria) */ +/* */ +/* Units used in these modules: cm, s, Kelvin */ +/* */ +/* Revision history: */ +/* - February 2015: changed length units from m to cm, so densities are in cm^-3 */ +/* like in the rest of the code */ +/* - May 2012: - added explicit dependence on the fine structure constant */ +/* and electron mass. Post-Saha functions moved to history.c */ +/* - dxHeII/dlna now includes explicit dependence on xH1s */ +/* (in case H and He recombinations overlap so H is not in Saha equilibrium) */ +/* - January 2011: added input variables so the value of xHeIII and */ +/* post-Saha corrections can be monitored from external routines */ +/* - written November 2010 */ +/*************************************************************************************************/ + +#include +#include +#include +#include +#include "helium.h" + +/************************************************************************************************ +Gets xe in He II + III equilibrium +*************************************************************************************************/ + +double rec_xesaha_HeII_III(REC_COSMOPARAMS *cosmo, double z, double *xHeIII) { + + double Tr, nH, ainv, s; + double nH0 = cosmo->nH0, Tr0 = cosmo->T0, fHe = cosmo->fHe; + double fsR = cosmo->fsR, meR = cosmo->meR; + /* Current conditions */ + Tr = Tr0*(ainv=1+z) /fsR/fsR/meR; /* Rescaled for different alpha, me */ + nH = nH0*ainv*ainv*ainv; + + /* Obtain Saha ratio, xe*xHeIII/xHeII + * prefactor = (2*pi*m*k/h^2)^1.5. Includes dependence on fine-structure constant and electron mass*/ + + s = fsR*fsR*fsR*meR*meR*meR* 2.414194e15*Tr*sqrt(Tr)*exp(-631462.7/Tr)/nH; + + *xHeIII = 2.*s*fHe/(1.+s+fHe)/(1.+sqrt(1.+4.*s*fHe/(1.+s+fHe)/(1.+s+fHe))); + + return(1. + fHe + *xHeIII); +} + +/*************************************************************************************************** +Gets xHeII (NOT xe) in Saha equilibrium, hydrogen assumed fully ionized. +****************************************************************************************************/ + +double rec_saha_xHeII(REC_COSMOPARAMS *cosmo, double z) { + + double Tr, nH, ainv, s; + double nH0 = cosmo->nH0, Tr0 = cosmo->T0, fHe = cosmo->fHe; + double fsR = cosmo->fsR, meR = cosmo->meR; + + /* Current conditions */ + Tr = Tr0*(ainv=1+z) /fsR/fsR/meR; /* Rescaled for different alpha, me */ + nH = nH0*ainv*ainv*ainv; + + /* Obtain Saha ratio, xe*xHeII/xHeI. prefactor = (2*pi*m*k/h^2)^1.5 */ + s = fsR*fsR*fsR*meR*meR*meR *2.414194e15*Tr*sqrt(Tr)*exp(-285325./Tr)/nH * 4.; + + return 2.*s*fHe/(1.+s)/(1.+sqrt(1.+4.*s*fHe/(1.+s)/(1.+s))); + +} + +/******************************************************************************************* +Gets xH1s for Saha equilibrium HII + e <-> H(1s) + gamma, where xe = xHII + xHeII +(in case Helium has not full recombined). Added May 2012. +*******************************************************************************************/ + +double rec_saha_xH1s(REC_COSMOPARAMS *cosmo, double z, double xHeII) { + + double s, Tr, nH, ainv; + double nH0 = cosmo->nH0, T0 = cosmo->T0; + double fsR = cosmo->fsR, meR = cosmo->meR; + + Tr = T0 * (ainv=1.+z) /fsR/fsR/meR; /* current (rescaled) radiation temperature */ + nH = nH0*ainv*ainv*ainv; + + /* Obtain Saha ratio, xe xHII/xH1s, with xe = xHII + xHeII and xHII = 1-xH1s + * Constants: + * reduced mass Rydberg = 157801.37882 Kelvin (no relativistic corrections) + * prefactor = (2*pi*m*k/h^2)^1.5 */ + + s = fsR*fsR*fsR*meR*meR*meR *2.4127161187130e15*Tr*sqrt(Tr)*exp(-157801.37882/Tr)/nH; + if (s == 0.) return 1.; + else if (s > 1e5) return (1.+xHeII)/s - (xHeII*xHeII + 3.*xHeII + 2.)/s/s; /* Second-order value for xHII ~ 1 */ + else return 1.-2./(1.+ xHeII/s + sqrt((1.+ xHeII/s)*(1.+ xHeII/s) +4./s)); + +} + +/************************************************************************************* + He II->I recombination rate evolution equation. + Incorporates 2(1)P-->1(1)S escape, with H continuum opacity + 2(1)S-->1(1)S 2 photon decay + 2(3)P-->1(1)S Sobolev + Assumes Compton temperature equilibrium, no Thomson opacity. + Added May 2012: Explicit dependence on xH1s, which may differ from its Saha equilibrium +value if hydrogen has already started to recombine (if H and He recombinations overlap). +**************************************************************************************/ + +double rec_helium_dxHeIIdlna(HYREC_DATA *data, double z, double xH1, double xHeII, double H) { + double nH0 = data->cosmo->nH0, Tr0 = data->cosmo->T0, fHe = data->cosmo->fHe; + double fsR = data->cosmo->fsR, meR = data->cosmo->meR; + int *error = &data->error; + double Tr, nH, ainv, s, s0; + double xe, xHeI, y2s, y2p, ydown; + double etacinv, g2pinc, dnuline, tau2p, pesc, tauc, enh; + char sub_message[256]; + if (*error == 1) return 0.; + + xe = xHeII + (1.-xH1); + xHeI = fHe - xHeII; + /* First catch potential errors */ + if (xHeI < 0.){ + sprintf(sub_message, "xHeI = %E < 0 at z = %f in rec_helium_dxHeIIdlna.\nYou should try and extend the hydrogen post-saha phase by increasing DXHII_MAX in history.h\n", xHeI, z); + strcat(data->error_message, sub_message); + *error = 1; + } + + /* Current conditions */ + Tr = Tr0*(ainv=1+z) /fsR/fsR/meR; /* Rescaled temperature to account for different alpha or me */ + nH = nH0*ainv*ainv*ainv; + + /* Saha abundance ratio, and ratio for zero ionization potential */ + s0 = fsR*fsR*fsR*meR*meR*meR *2.414194e15*Tr*sqrt(Tr)/nH * 4.; + s = s0 * exp(-285325./Tr); + + /* Abundances of excited levels. y is defined as x_i = y_i * xe * xHeII */ + y2s = exp(46090./Tr)/s0; + y2p = exp(39101./Tr)/s0 * 3.; + + /* Continuum opacity */ + /* coeff is 1/(sigma lambda) in cm^(-3). Result is in s^{-1} */ + + etacinv = fsR*fsR*fsR *meR*meR*meR* 9.15776e22 * H/nH/xH1; + + /* Incoherent width of 2(1)P incl. ->2s, 3s, 3d, 4s, 4d, 5s, 5d */ + g2pinc = 1.976e6 / (1.-exp(-6989./Tr)) + + 6.03e6 / (exp(19754./Tr)-1.) + + 1.06e8 / (exp(21539./Tr)-1.) + + 2.18e6 / (exp(28496./Tr)-1.) + + 3.37e7 / (exp(29224./Tr)-1.) + + 1.04e6 / (exp(32414./Tr)-1.) + + 1.51e7 / (exp(32781./Tr)-1.); + + g2pinc *= fsR*fsR*fsR*fsR*fsR*meR ; + + /* Optical depth, escape prob in x2p */ + tau2p = 4.277e-8 * nH/H * xHeI /(fsR*meR*meR); + dnuline = g2pinc * tau2p / (4.*M_PI*M_PI); + tauc = dnuline/etacinv; + enh = sqrt(1.+M_PI*M_PI*tauc) + 7.74*tauc/(1.+70.*tauc); + pesc = enh / tau2p; + + + /* Effective increase in escape probability via intercombination line + * ratio of optical depth to allowed line = 1.023e-7 + * 1-e^-tau23 = absorption prob. in intercom line + * e^[(E21P-E23P)/T] - e^[-(E21P-E23P)*eta_c] = step in intercom line + * relative to N_line in 21P + * divide by tau2p to get effective increase in escape prob. + * factor of 0.964525 is phase space factor for intercom vs allowed line -- (584/591)^3 + */ + pesc = pesc + (1.-exp(-1.023e-7*tau2p))*(0.964525*exp(2947./Tr)-enh*exp(-6.14e13*fsR*fsR*meR/etacinv))/tau2p; + + /* Total decay rate */ + + ydown = fsR*fsR*fsR*fsR*fsR*fsR*fsR*fsR*meR *50.94*y2s /*prefactor correcting 2-photon decay rate given alpha, me*/ + + fsR*fsR*fsR*fsR*fsR*meR* 1.7989e9*y2p*pesc; /*prefactor correcting 1-photon dipole rate */ + + + return ydown*(xHeI*s - xHeII*xe)/H; /* Excitation is obtained by detailed balance */ + +} + +/***********************************************************************************************************/ + + diff --git a/external/HyRec2020/helium.h b/external/HyRec2020/helium.h new file mode 100644 index 00000000..9ee1dc74 --- /dev/null +++ b/external/HyRec2020/helium.h @@ -0,0 +1,22 @@ +/*************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* helium.h: all functions related to helium recombination (and Saha equilibria) */ +/* */ +/*************************************************************************************************/ + +#ifndef __HELIUM__ +#define __HELIUM__ + +#include "hydrogen.h" + +#define SIZE_ErrorM 2048 + +double rec_xesaha_HeII_III(REC_COSMOPARAMS *cosmo, double z, double *xHeIII); +double rec_saha_xHeII(REC_COSMOPARAMS *cosmo, double z); +double rec_saha_xH1s(REC_COSMOPARAMS *cosmo, double z, double xHeII); +double rec_helium_dxHeIIdlna(HYREC_DATA *data, double z, double xH1s, double xHeII, double H); + +#endif diff --git a/external/HyRec2020/history.c b/external/HyRec2020/history.c new file mode 100644 index 00000000..9710fb16 --- /dev/null +++ b/external/HyRec2020/history.c @@ -0,0 +1,1017 @@ +/******************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* history.c: functions for numerical integration of the recombination history */ +/* */ +/* */ +/* Revision history: */ +/* - January 2020 : - added massive neutrino part in Hubble rate */ +/* - added new mode, SWIFT */ +/* - separated DLNA in two cases, MODEL = FULL or else */ +/* - added error_massage control */ +/* - 2015: - added DM annihilation and 21 cm routines. */ +/* - changed cosmological parameters input form */ +/* - possibility to change fine structure constant/ electron mass */ +/* - nH0 now in cm^-3 (instead of m^-3 which was only used in helium.c) */ +/* - October 2012: - added some wrapper functions for running CAMB with HyRec */ +/* (courtesy of Antony Lewis) */ +/* - possibility to change fine structure constant/ electron mass */ +/* - May 2012: - added explicit dependence on fine structure constant and electron mass */ +/* - modified call of rec_build_history */ +/* and improved numerical radiative transfer equations */ +/* so the Lyman-lines spectrum can be extracted */ +/* - split some functions for more clarity */ +/* - November 2011: - extended integration down to z = 0 with Peeble's model for z < 20 */ +/* - changed dTm/dlna so it can be called at all times */ +/* - January 2011: changed various switches (notably for post-Saha expansions) */ +/* so that they remain valid for arbitrary cosmologies */ +/* - written November 2010 */ +/******************************************************************************************************/ + +#include +#include +#include +#include +#include +#include +#include + +#include "history.h" +#include "helium.h" + +/************************************************************************************* +Hubble expansion rate in sec^-1. +*************************************************************************************/ + +#ifdef CAMB + +/* Use the Hubble rate from CAMB */ + +extern double exported_dtauda(double *); + +double rec_HubbleRate(REC_COSMOPARAMS *cosmo, double z) { + double a; + + a = 1./(1.+z); + /* conversion from d tau/ da in Mpc to H(z) in 1/s */ + return 1./(a*a)/exported_dtauda(&a) /3.085678e22 * 2.99792458e8; +} + +HYREC_DATA rec_data; +double logstart, dlna; +long int Nz; +int firstTime=0; + +void hyrec_init() { + /* Allocate spaces for hyrec data */ + double zmax = 8000.; + double zmin = 0.; + char *buffer = (char *) malloc (4096); + getcwd (buffer, 4096); + chdir(HYRECPATH); + rec_data.path_to_hyrec = ""; + hyrec_allocate(&rec_data, zmax, zmin); + chdir(buffer); + free(buffer); +} + +void rec_build_history_camb_(const double* OmegaC, const double* OmegaB, const double* h0inp, const double* tcmb, + const double* yp, const double* num_nu, double *xe, double *Tm, long int* nz) { + + double zmax = 8000.; + double zmin = 0.; + double h = *h0inp/100.; + double h2 = h*h; + char sub_message[SIZE_ErrorM]; + + /* To load tables only once */ + if (firstTime==0){ + hyrec_init(); + logstart = -log(1.+zmax); + Nz = rec_data.Nz; + firstTime =1; + } + + if (*nz != Nz) { + rec_data.error = 1; + sprintf(sub_message, " called from rec_build_history_camb_\n"); + strcat(sub_message, " Wrong number of redshifts is given from CAMB\n"); + strcat(sub_message, " For the default SWIFT model, Nz should be 2248 in hyrec.f90\n"); + strcat(sub_message, " For the rest of models in HYREC-2, Nz should be 105859 in hyrec.f90\n"); + strcat(sub_message, " Check the line 18 of history.h and line 22 of hyrec.f90\n"); + strcat(rec_data.error_message, sub_message); + printf("\n%s\n",rec_data.error_message); + hyrec_free(&rec_data); + exit(1); + } + + /* Defining HYREC-2 parameters from CAMB */ + /* Note that there are some parameters which don't have to be defined here + since Hubble rate is directly given from CAMB: orh2, okh2, odeh2, onuh2, w0, wa. */ + rec_data.cosmo->h = h; + rec_data.cosmo->T0 = *tcmb; + rec_data.cosmo->obh2 = *OmegaB * h2; + rec_data.cosmo->ocbh2 = (*OmegaB + *OmegaC) * h2; + rec_data.cosmo->YHe = *yp; + rec_data.cosmo->Neff = *num_nu; /* effective number of neutrino species */ + rec_data.cosmo->fsR = rec_data.cosmo->meR = 1.; /* Default: today's values */ + rec_data.cosmo->nH0 = 11.223846333047e-6*rec_data.cosmo->obh2*(1.-rec_data.cosmo->YHe); // number density of hudrogen today in cm-3 + rec_data.cosmo->fHe = rec_data.cosmo->YHe/(1.-rec_data.cosmo->YHe)/3.97153; // abundance of helium by number + if (MODEL == SWIFT) rec_data.cosmo->dlna = DLNA_SWIFT; + else rec_data.cosmo->dlna = DLNA_HYREC; + dlna = rec_data.cosmo->dlna; + + /* It seems there are no parameters related to DM annihilation in CAMB + So, following parameters (inj_params) are meaningless here */ + rec_data.cosmo->inj_params->pann = 0.; + rec_data.cosmo->inj_params->pann_halo = 0.; + rec_data.cosmo->inj_params->ann_z = 1.; + rec_data.cosmo->inj_params->ann_zmax = 1.; + rec_data.cosmo->inj_params->ann_zmin = 1.; + rec_data.cosmo->inj_params->ann_var = 1.; + rec_data.cosmo->inj_params->ann_z_halo = 1.; + rec_data.cosmo->inj_params->on_the_spot = 1; + rec_data.cosmo->inj_params->decay = 0.; + + /* Primodial black hole parameters */ + rec_data.cosmo->inj_params->Mpbh = 1.; + rec_data.cosmo->inj_params->fpbh = 0.; + + rec_data.cosmo->inj_params->odmh2 = *OmegaC * h2; + + /* This is a flag to use Hubble rate defined history.c + This flag is for the HYREC-2 implementation in CLASS */ + double Hubble_flag[1]; + Hubble_flag[0] = -1.; + + rec_data.xe_output = xe; rec_data.Tm_output = Tm; + + rec_build_history(&rec_data, MODEL, Hubble_flag); + if (rec_data.error == 1) { + printf("\n%s\n",rec_data.error_message); + exit(1); + } +} + + +double hyrec_xe_(double* a, double *xe){ + double loga = log(*a); + int error; /* error and error_message are meaningless here */ + char *error_message; + error_message = malloc(SIZE_ErrorM); + if (loga < logstart) return xe[0]; + return rec_interp1d(logstart, dlna, xe, Nz, loga, &error, error_message); +} + +double hyrec_tm_(double* a, double *tm){ + double loga = log(*a); + int error; /* error and error_message are meaningless here */ + char *error_message; + if (loga < logstart) return tm[0]; + return rec_interp1d(logstart, dlna, tm, Nz, loga, &error, error_message); +} + +#else + +/* Hyrec Hubble expansion rate. */ + +double rec_HubbleRate(REC_COSMOPARAMS *cosmo, double z) { + double a = 1./(1.+z), y, Tnu0; + int i; + cosmo->onuh2 = 0; + Tnu0 = cosmo->T0 * pow(4./11.,1./3.) ; + if (cosmo->Nmnu == 0) cosmo->onuh2 = 0; + else{ + /* Massive neutrino energy density using fitting function */ + for (i=0;iNmnu;i++) { + y = cosmo->mnu[i]/kBoltz/(Tnu0/a); + cosmo->onuh2 = cosmo->onuh2 + (1.+0.317322*0.0457584*pow(y,3.47446+1.) + + 2.05298*0.0457584*pow(y,3.47446-1.))/(1.+0.0457584*pow(y,3.47446))*(3.45e-8*Tnu0*Tnu0*Tnu0*Tnu0)*5.6822*2; + } + } + + /* Total density parameter, including curvature */ + double rho = cosmo->ocbh2 /a/a/a /* Matter (baryon + CDM) */ + + cosmo->okh2 /a/a /* Curvature */ + + cosmo->odeh2 * pow(1./a, 3*(1+cosmo->w0)) * exp(3*cosmo->wa* (log(1./a)-1.+a)) /* Dark energy */ + + cosmo->orh2 /a/a/a/a /* Radiation (photons + massless neutrinos) */ + + cosmo->onuh2 /a/a/a/a; /* Massive neutrinos */ + /* Conversion to Hubble rate in sec-1 */ + + return( 3.2407792896393e-18 * sqrt(rho) ); +} + +#endif + +/************************************************************************************************* +Cosmological parameters Input/Output +*************************************************************************************************/ + +void rec_get_cosmoparam(FILE *fin, FILE *fout, REC_COSMOPARAMS *param) { + double Omega_b, Omega_cb, Omega_k, y, Tnu0; + int i; + if (fout!=NULL) fprintf(fout, "Enter Hubble parameter (h) : \n"); + if(fscanf(fin, "%lg", &(param->h))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'h'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter CMB temperature today [Kelvin]: \n"); + if(fscanf(fin, "%lg", &(param->T0))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'CMB temperature today [Kelvin]'\n");exit(1);}; + + if (fout!=NULL) fprintf(fout, "Enter baryon density, Omega_b: \n"); + if(fscanf(fin, "%lg", &(Omega_b))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Omega_b'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter matter (CDM+baryons) density, Omega_cb: \n"); + if(fscanf(fin, "%lg", &(Omega_cb))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Omega_cb'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter curvature, Omega_k: \n"); + if(fscanf(fin, "%lg", &(Omega_k))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Omega_k'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter dark energy equation of state parameters, w wa: "); + if(fscanf(fin, "%lg %lg", &(param->w0), &(param->wa))!=2){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameters 'w wa'\n");exit(1);}; + + if (fout!=NULL) fprintf(fout, "Enter number of massive neutrino species, Nmnu: \n"); + if(fscanf(fin, "%lg", &(param->Nmnu))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Nmnu'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter mass of neutrino1, mnu: \n"); + if(fscanf(fin, "%lg", &(param->mnu[0]))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'mnu1'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter mass of neutrino2, mnu: \n"); + if(fscanf(fin, "%lg", &(param->mnu[1]))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'mnu2'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter mass of neutrino3, mnu: \n"); + if(fscanf(fin, "%lg", &(param->mnu[2]))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'mnu3'\n");exit(1);}; + + if (fout!=NULL) fprintf(fout, "Enter primordial helium mass fraction, Y: \n"); + if(fscanf(fin, "%lg", &(param->YHe))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Y'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "Enter total effective number of neutrino species, N_eff: \n"); + if(fscanf(fin, "%lg", &(param->Neff))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'N_eff'\n");exit(1);}; + + if (fout!=NULL) fprintf(fout, "ratio of fine structure constant at recombination to today's value, fsR: \n"); + if(fscanf(fin, "%lg", &(param->fsR))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'fsR'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ratio of electron mass at recombination to today's value, meR: \n"); + if(fscanf(fin, "%lg", &(param->meR))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'meR'\n");exit(1);}; + + param->Nur = param->Neff - param->Nmnu; + param->orh2 = 4.48162687719e-7 *param->T0*param->T0*param->T0*param->T0 *(1. + 0.227107317660239 *param->Nur); + param->ocbh2 = Omega_cb *param->h*param->h; + param->obh2 = Omega_b *param->h*param->h; + param->okh2 = Omega_k *param->h*param->h; + + Tnu0 = param->T0 * pow(4./11.,1./3.); + param->onuh2 = 0.; + if (param->Nmnu != 0){ + for (i=0;iNmnu;i++){ + y = param->mnu[i]/kBoltz/Tnu0; + param->onuh2 = param->onuh2 + (1.+0.317322*0.0457584*pow(y,3.47446+1.) + + 2.05298*0.0457584*pow(y,3.47446-1.))/(1.+0.0457584*pow(y,3.47446))*(3.450e-8 *Tnu0*Tnu0*Tnu0*Tnu0)*5.6822*2; + } + } + + param->odeh2 = (1. -Omega_cb -Omega_k - param->orh2/param->h/param->h- param->onuh2/param->h/param->h)*param->h*param->h; + param->nH0 = 11.223846333047e-6*param->obh2*(1.-param->YHe); // number density of hudrogen today in cm-3 + param->fHe = param->YHe/(1-param->YHe)/3.97153; // abundance of helium by number + + if (fout!=NULL) fprintf(fout, "dark matter annihilation parameter, in cm^3/s/GeV, pann: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->pann))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'pann'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "pann_halo: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->pann_halo))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'pann_halo'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ann_z: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->ann_z))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'ann_z'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ann_zmax: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->ann_zmax))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'ann_zmax'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ann_zmin: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->ann_zmin))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'ann_zmin'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ann_var: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->ann_var))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'ann_var'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "ann_z_halo: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->ann_z_halo))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'ann_z_halo'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "on_the_spot: \n"); + if(fscanf(fin, "%d", &(param->inj_params->on_the_spot))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'on_the_spot'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "decay: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->decay))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'decay'\n");exit(1);}; + + if (fout!=NULL) fprintf(fout, "Mpbh: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->Mpbh))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'Mpbh'\n");exit(1);}; + if (fout!=NULL) fprintf(fout, "fpbh: \n"); + if(fscanf(fin, "%lg", &(param->inj_params->fpbh))!=1){if (fout!=NULL) fprintf(fout, "Error in rec_get_cosmoparam when reading parameter 'fpbh'\n");exit(1);}; + + param->inj_params->odmh2 = param->ocbh2 - param->obh2; + + if (MODEL == SWIFT) param->dlna = DLNA_SWIFT; + else param->dlna = DLNA_HYREC; + + if (fout!=NULL) fprintf(fout, "\n"); +} + + + +/***************************************************************************************** +Matter temperature -- 1st order steady state, from Hirata 2008. +The input and output temperatures are in KELVIN. +Added December 2014: possibility for additional energy deposition dEdtdV in eV/s/cm^3. +******************************************************************************************/ + +double rec_Tmss(double z, double xe, REC_COSMOPARAMS *cosmo, double dEdtdV, double H) { + + double fsR = cosmo->fsR; + double meR = cosmo->meR; + double Tr = cosmo->T0 *(1.+z); + double nH = cosmo->nH0 *cube(1.+z); + + /* Coefficient = 8 sigma_T a_r / (3 m_e c) */ + /* Here Tr, Tm are the actual (not rescaled) temperatures */ + double coeff = fsR*fsR/meR/meR/meR*4.91466895548409e-22*Tr*Tr*Tr*Tr*xe/(1.+xe+cosmo->fHe)/H; + double Tm = Tr/(1.+1./coeff) + + (1.+2.*xe)/3.*dEdtdV/kBoltz /(1.5 *nH*(1.+xe+cosmo->fHe))/H /(1.+coeff); + + return Tm; +} + +/****************************************************************************************** +Matter temperature evolution derivative. Input and output temperatures are in KELVIN. +Added May 2012: when Tm = Tr, return -Tr (needed by CLASS) +Corrected June 2016: in the presence of heating, Tm can cross Tr, so added a criterion +for returning -Tr when quasi-steady state. Note: this is not very "clean", there should +be some flag for quasi-steady-state, will eventually fix. +Added December 2014: possibility of additional energy deposition dEdtdV in eV/s/cm^3. +******************************************************************************************/ + +double rec_dTmdlna(double z, double xe, double Tm, REC_COSMOPARAMS *cosmo, double dEdtdV, double H) { + double fsR = cosmo->fsR; + double meR = cosmo->meR; + double Tr = cosmo->T0 *(1.+z); + double nH = cosmo->nH0 *cube(1.+z); + return ( (Tr/Tm-1.<1e-10 && Tr > 3000.) ? -Tr : + -2.*Tm + fsR*fsR/meR/meR/meR*4.91466895548409e-22*Tr*Tr*Tr*Tr*xe/(1.+xe+cosmo->fHe)*(Tr-Tm)/H + + (1.+2.*xe)/3. *dEdtdV /kBoltz /(1.5 *nH*(1.+xe+cosmo->fHe))/H); + /* Coefficient = 8 sigma_T a_r / (3 m_e c) */ + /* Here Tr, Tm are the actual (not rescaled) temperatures */ +} + +double Tm_implicit(double z, double xe, double Tm, REC_COSMOPARAMS *cosmo, double dEdtdV, double H, double DLNA) { + double fsR = cosmo->fsR; + double meR = cosmo->meR; + double Tr = cosmo->T0 *(1.+z); + double nH = cosmo->nH0 *cube(1.+z); + double gamma = fsR*fsR/meR/meR/meR*4.91466895548409e-22*Tr*Tr*Tr*Tr*xe/(1.+xe+cosmo->fHe)/H; + return (Tm + DLNA*(gamma*Tr + (1.+2.*xe)/3. *dEdtdV /kBoltz /(1.5 *nH*(1.+xe+cosmo->fHe))/H) )/ ( 1.+(2.+gamma)*DLNA ); +} + + +/************************************************************************ +Explicit integrator. +Inputs: deriv: derivative at current time step + deriv_prev: derivatives at two previous timesteps + (deriv_prev[0] = previous time, deriv_prev[1] = 2 timesteps ago) +Output: change in x per dt +*************************************************************************/ +double hyrec_integrator(double deriv, double deriv_prev[2], double z) { + double result; + + if (MODEL == FULL) result = 1.25 * deriv - 0.25 *deriv_prev[1]; + else result = 23./12.*deriv -16./12. * deriv_prev[0] + 5./12. *deriv_prev[1]; + + // update derivatives + deriv_prev[1] = deriv_prev[0]; + deriv_prev[0] = deriv; + + return result; +} + +/********************************************************************************************** +Second-order explicit integrator for HeII abundance during HeII->HeI recombination. +Assumes hydrogen ionization is in Saha equilibrium (free electrons being provided by both H and He). +If xHeII is close enough to Saha equilibrium do a post-Saha expansion. +dxHeIIdlna_prev[0] = derivative at previous timestep +dxHeIIdlna_prev[1] = derivative 2 timesteps prior +z = input z +H = Hubble parameter(z) +***********************************************************************************************/ + +void rec_get_xe_next1_He(HYREC_DATA *data, double z_in, double *xHeII, double dxHeIIdlna_prev[2], + double *hubble_array, int flag) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + double Nz = data->Nz, dz = data->zmax/Nz; + int *error = &data->error; + + double xH1, xH1_p, xH1_m, xHeIISaha, dxHeIISaha_dlna, DdxHeIIdlna_Dxe, dxHeIIdlna, z_out, Dxe, DLNA; + char sub_message[SIZE_ErrorM]; + double H; + if (flag==10) DLNA = cosmo->dlna; + else DLNA = cosmo->dlna/10.; + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z_in); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z_in, error, sub_message); + + xH1 = rec_saha_xH1s(cosmo, z_in, *xHeII); + dxHeIIdlna = rec_helium_dxHeIIdlna(data, z_in, xH1, *xHeII, H); + /* Post-Saha approximation during the early phase of HeII->HeI recombination */ + if (data->quasi_eq == 1) { + z_out = (1.+z_in)*exp(-DLNA)-1.; + xHeIISaha = rec_saha_xHeII(cosmo, z_out); + + dxHeIISaha_dlna = (1.+z_out)*(rec_saha_xHeII(cosmo, z_out-0.5) + -rec_saha_xHeII(cosmo, z_out+0.5)); + + Dxe = 0.01*(cosmo->fHe - xHeIISaha); + xH1_p = rec_saha_xH1s(cosmo, z_out, xHeIISaha+Dxe); + xH1_m = rec_saha_xH1s(cosmo, z_out, xHeIISaha-Dxe); + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z_out); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z_out, error, sub_message); + + DdxHeIIdlna_Dxe = (rec_helium_dxHeIIdlna(data, z_out, xH1_p, xHeIISaha+Dxe, H) + -rec_helium_dxHeIIdlna(data, z_out, xH1_m, xHeIISaha-Dxe, H))/2./Dxe; + + *xHeII = xHeIISaha + dxHeIISaha_dlna/DdxHeIIdlna_Dxe; + /* Check that the post-Saha approximation is still valid. If not, switch it off for future iterations */ + if (fabs(*xHeII - xHeIISaha) > DXHEII_MAX) data->quasi_eq = 0; + } + + /* Otherwise integrate ODE */ + else *xHeII += DLNA * hyrec_integrator(dxHeIIdlna, dxHeIIdlna_prev,z_in); + + if (*error == 1) { + sprintf(sub_message, " called from rec_get_xe_next1_He at z = %f\n", z_in); + strcat(data->error_message, sub_message); + } +} + + +/*************************************************************************************************** +Quasi-equilibrium solution for the hydrogen neutral density at z +Used at early stages when the system is stiff. After that switch to explicit second-order solver. +input: xH1 at previous time step +output: xH1 at z. +iz_rad is the index for the radiation field at z +***************************************************************************************************/ + +void rec_xH1_stiff(HYREC_DATA *data, int model, double z, double xHeII, double *xH1, unsigned iz_rad, double H){ + + REC_COSMOPARAMS *cosmo = data->cosmo; + int *error = &data->error; + + double ainv, xH1sSaha, xHIISaha, dxH1sSaha_dlna, dxH1sdlna_Saha, DdxH1sdlna_DxH1s, T, nH, Dxe; + int model_stiff; // To use EMLA2p2s model for PostSaha in FULL and SWIFT mode + char sub_message[SIZE_ErrorM]; + + // Set model for rec_xH1_stiff. FULL mode uses EMLA2s2p for stiff. + // SWIFT mode uses EMLA2s2p for stiff when z is not in the range of redshifts for SWIFT fitting function. + + T = kBoltz*cosmo->T0 * (ainv=1.+z); + + if (model == FULL) { + model_stiff = EMLA2s2p; + } + else{ + model_stiff = model; + if (model == SWIFT){ + if (T/kBoltz/cosmo->fsR/cosmo->fsR/cosmo->meR > data->fit->swift_func[0][DKK_SIZE-1] ) model_stiff = EMLA2s2p; + } + } + + nH = cosmo->nH0 *cube(1.+z); + xH1sSaha = rec_saha_xH1s(cosmo, z, xHeII); + xHIISaha = 1.-xH1sSaha; + + dxH1sSaha_dlna = (1.+z)*(rec_saha_xH1s(cosmo, z-0.5, xHeII) + -rec_saha_xH1s(cosmo, z+0.5, xHeII)); + /* (partial xHII)/(partial lna). Use xH1s = 1-xHII for better accuracy. */ + if (xHeII != 0.) { + dxH1sSaha_dlna = (1.+z)*(rec_saha_xH1s(cosmo, z-0.5, xHeII) + -rec_saha_xH1s(cosmo, z+0.5, xHeII)); + Dxe = 0.01*(cosmo->fHe - xHeII); + dxH1sSaha_dlna += (rec_saha_xH1s(cosmo, z, xHeII+Dxe) + -rec_saha_xH1s(cosmo, z, xHeII-Dxe))/2./Dxe + *rec_helium_dxHeIIdlna(data, z, xH1sSaha, xHeII, H); + /* (partial xHII)/(partial xHeII).dxHeII/dlna */ + } + + dxH1sdlna_Saha = -rec_dxHIIdlna(data, model_stiff, xHIISaha + xHeII, xHIISaha, nH, H, T, T, iz_rad, z); + Dxe = 0.01*xH1sSaha; + DdxH1sdlna_DxH1s = (rec_dxHIIdlna(data, model_stiff, xHIISaha+Dxe + xHeII, xHIISaha+Dxe, nH, H, T, T, iz_rad, z) + -rec_dxHIIdlna(data, model_stiff, xHIISaha-Dxe + xHeII, xHIISaha-Dxe, nH, H, T, T, iz_rad, z))/2./Dxe; + *xH1 = xH1sSaha + (dxH1sSaha_dlna - dxH1sdlna_Saha)/DdxH1sdlna_DxH1s; + + + if (fabs(*xH1 - xH1sSaha) > DXHII_MAX) data->quasi_eq = 0; + //if (z<1700.) *stiff = 0; /* Used when calculating the correction function for SWIFT mode. */ + + /* Update photon population when MODEL = FULL */ + if (model == FULL) rec_dxHIIdlna(data, model, xHeII + 1.-*xH1, 1.-*xH1, nH, H, T, T, iz_rad, z); + + if (*xH1 < 0. || *xH1 != *xH1) { + sprintf(sub_message, "xH1 < 0 in rec_xH1_stiff: at z = %f, xH1 = %E\n", z, *xH1); + strcat(data->error_message, sub_message); + *error = 1; + } + + if (*error == 1) { + sprintf(sub_message, " called from rec_xH1_stiff at z = %f\n", z); + strcat(data->error_message, sub_message); + return; + } + return; +} + + + +/***************************************************************************************************** +Second-order integrator (unless stiff system) used to evolve simultaneously HI and HeII. +When hydrogen is close to Saha equilibrium but there is still a significant amount of HeII, +use a post-Saha expansion for hydrogen. The other way around is not treated (simply integrate H and He until +there is almost no HeII left, then integrate H only) +******************************************************************************************************/ + +void get_rec_next2_HHe(HYREC_DATA *data, int model, double z_in, long iz, double *xH1, double *xHeII, + double dxHIIdlna_prev[2], double dxHeIIdlna_prev[2], double H) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + int *error = &data->error; + double Tm = data->Tm_output[iz-1]; + long iz_rad = iz-1-data->rad->iz_rad_0; + + double dxHeIIdlna, dxHIIdlna=0., z_out, xe; + double nH, TR, DLNA; + char sub_message[SIZE_ErrorM]; + DLNA = cosmo->dlna; + xe = *xHeII + 1.- (*xH1); + nH = cosmo->nH0 *cube(1.+z_in); + TR = kBoltz * cosmo->T0 *(1.+z_in); + /* Evolve HeII by solving ODE */ + dxHeIIdlna = rec_helium_dxHeIIdlna(data, z_in, *xH1, *xHeII, H); + *xHeII += DLNA * hyrec_integrator(dxHeIIdlna, dxHeIIdlna_prev, z_in); + + /* Compute dxHII/dlna. This also correctly updates the radiation field at z_in, + which is required even when using the stiff approximation */ + + /* If system is stiff use the quasi-equilibrium solution */ + if(data->quasi_eq == 1){ + z_out = (1.+z_in)*exp(-DLNA)-1.; + rec_xH1_stiff(data, model, z_out, *xHeII, xH1, iz_rad+1, H); + hyrec_integrator(dxHIIdlna, dxHIIdlna_prev, z_in); + } + + /* Otherwise use second-order explicit solver */ + else { + dxHIIdlna = rec_dxHIIdlna(data, model, xe, 1.-(*xH1), nH, H, kBoltz*Tm, TR, iz_rad, z_in); + *xH1 -= DLNA * hyrec_integrator(dxHIIdlna, dxHIIdlna_prev, z_in); + } + + /* Checking for errors */ + if (*xH1 < 0. || *xH1 > 1. || *xH1 != *xH1) { + sprintf(sub_message, "xH1 < 0 or xH1 > 1 in get_rec_next2_HHe: at z = %f, xH1 = %E\n", z_out, *xH1); + strcat(data->error_message, sub_message); + *error = 1; + } + if (*error == 1) { + sprintf(sub_message, " called from get_rec_next2_HHe at z = %f\n", z_out); + strcat(data->error_message, sub_message); + return; + } +} + +/********************************************************************************************************* +Second-order integrator (unless stiff system) to evolve hydrogen only, assuming helium has entirely recombined. +Tm is given as an input (to avoid computing it twice) and fixed to quasi-equilibrium value with Tr. +Input : xe [at z_in] +Output: xe [at next timestep] +**********************************************************************************************************/ + +void rec_get_xe_next1_H(HYREC_DATA *data, int model, double z_in, long iz, double xe_in, double Tm_in, + double *xe_out, double *Tm_out, double dxedlna_prev[2], double H, int flag) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + int *error = &data->error; + long iz_rad = iz-1-data->rad->iz_rad_0; + + double dxedlna, z_out; + double nH, TR, xH1, dEdtdV, DLNA; + char sub_message[SIZE_ErrorM]; + if (flag==10) DLNA = cosmo->dlna; + else DLNA = cosmo->dlna/10.; + + z_out = (1.+z_in)*exp(-DLNA)-1.; + nH = cosmo->nH0 *cube(1.+z_in); + TR = kBoltz *cosmo->T0 *(1.+z_in); + + dEdtdV = cosmo->inj_params->ion*3*nH*EI / (1-xe_in); + /* Compute dxHII/dlna. This also correctly updates the radiation field at z_in, + which is required even when using the stiff approximation */ + + /* If system is stiff use the quasi-equilibrium solution */ + if (data->quasi_eq == 1) { + xH1 = 1.-xe_in; + rec_xH1_stiff(data, model, z_out, 0, &xH1, iz_rad+1, H); + *xe_out = 1.-xH1; + dxedlna_prev[1] = dxedlna_prev[0]; + dxedlna_prev[0] = (*xe_out-xe_in)/DLNA; + } + /* Otherwise use second-order explicit solver */ + else { + dxedlna = rec_dxHIIdlna(data, model, xe_in, xe_in, nH, H, kBoltz*Tm_in, TR, iz_rad, z_in); + *xe_out = xe_in + DLNA * hyrec_integrator(dxedlna, dxedlna_prev, z_in); + } + + /* Quasi-steady state solution for Tm */ + *Tm_out = rec_Tmss(z_out, *xe_out, cosmo, dEdtdV, H); + + // Test that the outcome is sensible + if (*xe_out > 1. || *xe_out < 0. || *xe_out != *xe_out) { + sprintf(sub_message, "xe > 1 or xe < 0 in get_rec_next1_H at z = %E, xe = %E\n", z_out, *xe_out); + strcat(data->error_message, sub_message); + *error = 1; + } + if (*error == 1) { + sprintf(sub_message, " called from get_rec_next1_H at z = %f\n", z_out); + strcat(data->error_message, sub_message); + return; + } +} + + +/********************************************************************************************** +Second-order integrator for evolving xe and Tm simultaneously +Used for Hydrogen recombination only +May 2012: added a switch so Peebles model can be used at low redshift. +September 2016: added dEdtdV_dep, the *deposited* energy +(as opposed to dE_dtdV which is the instantaenously injected energy) +July 2020: added implicit integration method +***********************************************************************************************/ + +void rec_get_xe_next2_HTm(HYREC_DATA *data, int model, double z_in, long iz, double dxedlna_prev[2], + double dTmdlna_prev[2], double H, double z_out, double H_next) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + double xe_in = data->xe_output[iz-1]; + double Tm_in = data->Tm_output[iz-1]; + int *error = &data->error; + long iz_rad = iz-1-data->rad->iz_rad_0; + + double dxedlna, dTmdlna, nH, TR, dEdtdV, DLNA; + char sub_message[SIZE_ErrorM]; + DLNA = cosmo->dlna; + + nH = cosmo->nH0 *cube(1.+z_in); + TR = kBoltz *cosmo->T0 *(1.+z_in); + dEdtdV = cosmo->inj_params->ion*3*nH*EI / (1-xe_in); + /*For low redshifts (z < 20 or so) use Peeble's model. + The precise model does not metter much here as + 1) the free electron fraction is basically zero (~1e-4) in any case and + 2) the universe is going to be reionized around that epoch */ + + if (TR/cosmo->fsR/cosmo->fsR/cosmo->meR <= TR_MIN + || kBoltz*Tm_in/TR <= T_RATIO_MIN) model = PEEBLES; + dxedlna = rec_dxHIIdlna(data, model, xe_in, xe_in, nH, H, kBoltz*Tm_in, TR, iz_rad, z_in); + + dTmdlna = rec_dTmdlna(z_in, xe_in, Tm_in, cosmo, dEdtdV, H); + + data->Tm_evolve_implicit = 1; + if (fabs(1-dTmdlna_prev[0]/dTmdlna)Tm_evolve_implicit = 0; + if (data->Tm_evolve_implicit == 1){ + dTmdlna_prev[0] = dTmdlna; + dTmdlna_prev[1] = dTmdlna_prev[0]; + data->xe_output[iz] = xe_in + DLNA *hyrec_integrator(dxedlna, dxedlna_prev, z_in); + data->Tm_output[iz] = Tm_implicit(z_out, data->xe_output[iz], Tm_in, cosmo, dEdtdV, H_next, DLNA); + } + else { + data->xe_output[iz] = xe_in + DLNA *hyrec_integrator(dxedlna, dxedlna_prev, z_in); + data->Tm_output[iz] = Tm_in + DLNA *hyrec_integrator(dTmdlna, dTmdlna_prev, z_in); + } + + if (*error == 1) { + sprintf(sub_message, " called from rec_get_xe_next2_HTm at z = %f\n", z_in); + strcat(data->error_message, sub_message); + return; + } +} + + +/**************************************************************************************************** +Builds a recombination history with a given model +(model = PEEBLES, RECFAST, EMLA2s2p, FULL, or SWIFT) +Added May 2012: The radiation field was added as an input so it can be extracted if desired +Replaced condition iz < param->nz by equivalent z >= 0 (so param.nz not needed anymore) +Added September 2016: follow the deposited energy dEdtdV_dep +Added July 2020: Implicit integration for Tm + Adopting a smaller time step when diff.eq is stiff in SWIFT mode +****************************************************************************************************/ + +char* rec_build_history(HYREC_DATA *data, int model, double *hubble_array){ + + REC_COSMOPARAMS *cosmo = data->cosmo; + int *error = &data->error; + + double *xe_output = data->xe_output, *Tm_output = data->Tm_output; + int Nz = data->Nz; + double zstart = data->zmax, zend = data->zmin; + long iz; + double dxHIIdlna_prev[2], dTmdlna_prev[2], dxHeIIdlna_prev[2]; + double dxHIIdlna_prev_sub[2], dxHeIIdlna_prev_sub[2], xHeII_prev[4]; + double z, dz, DLNA, Delta_xe, xHeII, xH1, dEdtdV_dep, nH, H; + double *ion = &cosmo->inj_params->ion; + double *exclya = &cosmo->inj_params->exclya; + double z_out=0., H_next; + int flag=10; + double xe_i, Tm_i; + + DLNA = cosmo->dlna; + dz = zstart/Nz; + // Index at which we start integrating Hydrogen recombination, and corresponding redshift + data->rad->iz_rad_0 = (long) floor(1 + log(kBoltz*cosmo->T0/square(cosmo->fsR)/cosmo->meR*(1.+zstart)/TR_MAX)/DLNA); + data->rad->z0 = (1.+zstart)*exp(-data->rad->iz_rad_0 * DLNA) - 1.; + + z = zstart; + /********* He III -> II Saha phase. Tm = Tr. Stop when xHeIII = 1e-8 *********/ + Delta_xe = cosmo->fHe; /* Delta_xe = xHeIII here */ + for(iz = 0; z >= 0. && Delta_xe > 1e-8; iz++) { + z = (1.+zstart)*exp(-cosmo->dlna*iz) - 1.; + xe_output[iz] = rec_xesaha_HeII_III(cosmo, z, &Delta_xe); + Tm_output[iz] = cosmo->T0 * (1.+z); + } + + /******** He II -> I recombination. + Hydrogen in Saha equilibrium. + Tm fixed to steady state. + Neglect any energy injection. + Integrate until TR is low enough that can start integrating hydrogen recombination + (this occurs at index izH0 computed in rec_get_cosmoparam). + Start with quasi-equilibrium approximation. + ********/ + + dxHeIIdlna_prev[1] = dxHeIIdlna_prev[0] = 0.; + + xHeII = rec_saha_xHeII(cosmo, z); + data->quasi_eq = 1; /* Start with post-saha expansion */ + + dxHeIIdlna_prev_sub[1] = dxHeIIdlna_prev[1]; + dxHeIIdlna_prev_sub[0] = dxHeIIdlna_prev[0]; + xHeII_prev[3] = xHeII; + xHeII_prev[2] = xHeII; + xHeII_prev[1] = xHeII; + xHeII_prev[0] = xHeII; + + data->loop_after_quasi=1; + for(; iz <= data->rad->iz_rad_0; iz++) { + + if (model == SWIFT && data->quasi_eq == 0 && data->loop_after_quasi == 1){ + xe_i = xe_output[iz-1]; Tm_i = Tm_output[iz-1]; + for (flag=0;flag<10;flag++) { + rec_get_xe_next1_He(data, z, &xHeII, dxHeIIdlna_prev_sub, hubble_array, flag); + z = (1.+zstart)*exp(-DLNA*(iz-1+(flag+1)/10.)) - 1.; + xH1 = rec_saha_xH1s(cosmo, z, xHeII); + xe_i = 1.-xH1 + xHeII; + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + Tm_i = rec_Tmss(z, xe_i, cosmo, 0., H); + } + xe_output[iz] = xe_i; Tm_output[iz] = Tm_i; + + xHeII_prev[3] = xHeII_prev[2]; + xHeII_prev[2] = xHeII_prev[1]; + xHeII_prev[1] = xHeII_prev[0]; + xHeII_prev[0] = xHeII; + dxHeIIdlna_prev[1] = (xHeII_prev[1] - xHeII_prev[3])/2./DLNA; + dxHeIIdlna_prev[0] = (xHeII_prev[0] - xHeII_prev[2])/2./DLNA; + + if (fabs(1-dxHeIIdlna_prev[1]/dxHeIIdlna_prev[0])loop_after_quasi = 0; + } + else{ + rec_get_xe_next1_He(data, z, &xHeII, dxHeIIdlna_prev, hubble_array, flag); + z = (1.+zstart)*exp(-DLNA*iz) - 1.; + xH1 = rec_saha_xH1s(cosmo, z, xHeII); + xe_output[iz] = 1.-xH1 + xHeII; + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + + Tm_output[iz] = rec_Tmss(z, xe_output[iz], cosmo, 0., H); + } + + if (*error == 1) return data->error_message; + } + + /******** H II -> I and He II -> I simultaneous recombination (rarely needed but just in case) + Tm fixed to steady state. + Integrate H and He simultaneously until xHeII < XHEII_MIN + Start with post-saha expansion for hydrogen + Now account for possible energy injection. + Solve for dEdtdV_dep simultaneously; + ********/ + + dxHIIdlna_prev[1] = (xe_output[iz-2] - xe_output[iz-4])/2./DLNA - dxHeIIdlna_prev[1]; + dxHIIdlna_prev[0] = (xe_output[iz-1] - xe_output[iz-3])/2./DLNA - dxHeIIdlna_prev[0]; + data->quasi_eq = 1; + + // Initialize energy *deposition* + dEdtdV_dep = 0.; + nH = cosmo->nH0*cube(1.+z); + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + + update_dEdtdV_dep(z, DLNA, xe_output[iz-1], Tm_output[iz-1], nH, H, cosmo->inj_params, &dEdtdV_dep); + *ion = dEdtdV_dep/3. /nH *xH1 /EI; + *exclya = *ion /0.75; + + for(; z >= 0. && xHeII > XHEII_MIN; iz++) { + + get_rec_next2_HHe(data, model, z, iz, &xH1, &xHeII, dxHIIdlna_prev, dxHeIIdlna_prev, H); + xe_output[iz] = 1.-xH1 + xHeII; + + z = (1.+zstart)*exp(-DLNA*iz) - 1.; + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + + nH = cosmo->nH0*cube(1.+z); + Tm_output[iz] = rec_Tmss(z, xe_output[iz], cosmo, dEdtdV_dep, H); + update_dEdtdV_dep(z, DLNA, xe_output[iz], Tm_output[iz], nH, H, cosmo->inj_params, &dEdtdV_dep); + *ion = dEdtdV_dep/3. /nH *xH1 /EI; + *exclya = *ion /0.75; + + if (*error == 1) return data->error_message; + } + + /******** H recombination. Helium assumed entirely neutral. + Tm fixed to steady-state until its relative difference from Tr is DLNT_MAX + ********/ + dxHIIdlna_prev_sub[1] = dxHIIdlna_prev[1]; + dxHIIdlna_prev_sub[0] = dxHIIdlna_prev[0]; + data->loop_after_quasi = 1; + for (; z >= 0. && fabs(1.-Tm_output[iz-1]/cosmo->T0/(1.+z)) < DLNT_MAX; iz++) { + + if (model == SWIFT && data->loop_after_quasi == 1){ + xe_i = xe_output[iz-1]; Tm_i = Tm_output[iz-1]; + for (flag=0;flag<10;flag++) { + rec_get_xe_next1_H(data, model, z, iz, xe_i, Tm_i, &xe_i, &Tm_i, dxHIIdlna_prev_sub, H, flag); + z = (1.+zstart)*exp(-DLNA*(iz-1+(flag+1)/10.)) - 1.; + nH = cosmo->nH0*cube(1.+z); + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + + update_dEdtdV_dep(z, DLNA/10., xe_i, Tm_i, nH, H, cosmo->inj_params, &dEdtdV_dep); + *ion = dEdtdV_dep/3. /nH *(1.-xe_i) /EI; + *exclya = *ion /0.75; + } + xe_output[iz] = xe_i; Tm_output[iz] = Tm_i; + dxHIIdlna_prev[1] = (xe_output[iz-1] - xe_output[iz-3])/2./DLNA; + dxHIIdlna_prev[0] = (xe_output[iz] - xe_output[iz-2])/2./DLNA; + + if (fabs(1-dxHIIdlna_prev[1]/dxHIIdlna_prev[0])loop_after_quasi=0; + } + + else{ + rec_get_xe_next1_H(data, model, z, iz, xe_output[iz-1], Tm_output[iz-1], xe_output+iz, Tm_output+iz, + dxHIIdlna_prev, H, flag); + if (data->quasi_eq == 1){ + dxHIIdlna_prev[1] = (xe_output[iz-2] - xe_output[iz-4])/2./DLNA; + dxHIIdlna_prev[0] = (xe_output[iz-1] - xe_output[iz-3])/2./DLNA; + } + z = (1.+zstart)*exp(-DLNA*iz) - 1.; + z_out = (1.+zstart)*exp(-DLNA*(iz+1)) - 1.; + nH = cosmo->nH0*cube(1.+z); + + if (hubble_array[0]==-1.) H = rec_HubbleRate(cosmo, z); + else H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + + update_dEdtdV_dep(z, DLNA, xe_output[iz], Tm_output[iz], nH, H, cosmo->inj_params, &dEdtdV_dep); + *ion = dEdtdV_dep/3. /nH *(1.-xe_output[iz]) /EI; + *exclya = *ion /0.75; + } + if (*error == 1) return data->error_message; + } + + /******** Evolve xe and Tm simultaneously until z = zend + Note that the radiative transfer calculation is switched off automatically in the functions + rec_get_xe_next1_H and rec_get_xe_next2_HTm when it is no longer relevant. + ********/ + + dTmdlna_prev[1] = (Tm_output[iz-2] - Tm_output[iz-4])/2./DLNA; + dTmdlna_prev[0] = (Tm_output[iz-1] - Tm_output[iz-3])/2./DLNA; + + if (hubble_array[0]==-1.) { + H = rec_HubbleRate(cosmo, z); + H_next = rec_HubbleRate(cosmo, z_out); + } + else { + H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + H_next = rec_interp1d(.0, dz, hubble_array, Nz, z_out, error, data->error_message); + } + + for(; z > zend; iz++) { + rec_get_xe_next2_HTm(data, model, z, iz, dxHIIdlna_prev, dTmdlna_prev, H, z_out, H_next); + z = (1.+zstart)*exp(-DLNA*iz) - 1.; + z_out = (1.+zstart)*exp(-DLNA*(iz+1)) - 1.; + if (z < zend) z=0.; + + if (hubble_array[0]==-1.) { + H = rec_HubbleRate(cosmo, z); + H_next = rec_HubbleRate(cosmo, z_out); + } + else { + H = rec_interp1d(.0, dz, hubble_array, Nz, z, error, data->error_message); + if (z_out > zend) H_next = rec_interp1d(.0, dz, hubble_array, Nz, z_out, error, data->error_message); + else H_next = H; + } + nH = cosmo->nH0*cube(1.+z); + update_dEdtdV_dep(z, DLNA, xe_output[iz], Tm_output[iz], nH, H, cosmo->inj_params, &dEdtdV_dep); + *ion = dEdtdV_dep/3. /nH *(1.-xe_output[iz]) /EI; + *exclya = *ion /0.75; + + if (*error == 1) return data->error_message; + } + return data->error_message; +} + + +/*********************************************************** +Function to allocate and initialize HYREC-2 internal tables +Note that path_to_hyrec in HYREC_DATA should be defined first +before calling hyrec_allocate(). +***********************************************************/ + +void hyrec_allocate(HYREC_DATA *data, double zmax, double zmin) { + double DLNA; + if (MODEL == SWIFT) DLNA = DLNA_SWIFT; + else DLNA = DLNA_HYREC; + + data->error = 0; + data->error_message=malloc(SIZE_ErrorM); + sprintf(data->error_message, "\n**** ERROR HAS OCCURRED in HYREC-2 ****\n"); + + data->zmax = (zmax > 3000.? zmax : 3000.); + data->zmin = zmin; + + data->atomic = (HYREC_ATOMIC *) malloc(sizeof(HYREC_ATOMIC)); + allocate_and_read_atomic(data->atomic, &data->error, data->path_to_hyrec, data->error_message); + + data->fit = (FIT_FUNC *) malloc(sizeof(FIT_FUNC)); + allocate_and_read_fit(data->fit, &data->error, data->path_to_hyrec, data->error_message); + + data->cosmo = (REC_COSMOPARAMS *) malloc(sizeof(REC_COSMOPARAMS)); + data->cosmo->inj_params = (INJ_PARAMS *) malloc(sizeof(INJ_PARAMS)); + + data->Nz = (long int) (log((1.+zmax)/(1.+zmin))/DLNA) + 2; + data->rad = (RADIATION *) malloc(sizeof(RADIATION)); + + // For now assume that radiation field never needed over more than 1 decade in redshift + // (typically from z ~ 1700 to 800 for recombination history) + // Will have to adapt for outputting radiation fields at lower z + if (MODEL == FULL) allocate_radiation(data->rad, (long int) (log(10.)/DLNA), &data->error, data->error_message); + + data->xe_output = create_1D_array(data->Nz, &data->error, data->error_message); + data->Tm_output = create_1D_array(data->Nz, &data->error, data->error_message); +} + + +void hyrec_free(HYREC_DATA *data) { + free_atomic(data->atomic); + free(data->cosmo->inj_params); + free(data->cosmo); + free(data->atomic); + free(data->xe_output); + free(data->Tm_output); + free(data->error_message); + if (MODEL == FULL) free_radiation(data->rad); + free(data->rad); + free_fit(data->fit); + free(data->fit); +} + +/****************************************************************** +Compute a recombination history given input cosmological parameters +********************************************************************/ + +void hyrec_compute(HYREC_DATA *data, int model){ + /* if Hubble_flag[0]=-1., HYREC-2 uses its own Hubble rate. + When HYREC-2 is included in CLASS, the Hubble rate should be given from CLASS. + In that case, rec_build_history() would be used directly not this function, hyrec_compute(). */ + double Hubble_flag[1]; + Hubble_flag[0] = -1.; + + rec_build_history(data, model, Hubble_flag); +} + +/***** + Once HYREC_DATA outputs are computed, obtain xe(z) and Tm(z) by interpolation +*****/ + +double hyrec_xe(double z, HYREC_DATA *data) { + if (z > data->zmax) return data->xe_output[0]; + if (z < data->zmin) { + fprintf(stderr, "\033[1m\033[31m error\033[22;30m in hyrec_xe: requesting x_e at z = %f ", z); + fprintf(stderr, "lower than zmin\n"); + exit(1); + } + double DLNA = data->cosmo->dlna; + return rec_interp1d(-log(1.+data->zmax), DLNA, data->xe_output, data->Nz, -log(1.+z), &data->error, data->error_message); +} + +double hyrec_Tm(double z, HYREC_DATA *data) { + if(z > data->zmax) return data->cosmo->T0*(1.+z); + if (z < data->zmin) { + fprintf(stderr, "\033[1m\033[31m error\033[22;30m in hyrec_Tm: requesting x_e at z = %f ", z); + fprintf(stderr, "lower than zmin\n"); + exit(1); + } + double DLNA = data->cosmo->dlna; + return rec_interp1d(-log(1.+data->zmax), DLNA, data->Tm_output, data->Nz, -log(1.+z), &data->error, data->error_message); +} diff --git a/external/HyRec2020/history.h b/external/HyRec2020/history.h new file mode 100644 index 00000000..a809dc32 --- /dev/null +++ b/external/HyRec2020/history.h @@ -0,0 +1,70 @@ +/*************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* history.h: functions for recombination history */ +/* */ +/*************************************************************************************************/ + +#ifndef __HISTORY__ +#define __HISTORY__ + +#include "hyrectools.h" +#include "hydrogen.h" + +#define HYREC_VERSION "2020" + +#define MODEL SWIFT /* SWIFT is the default model. Four more models can be used (PEEBLES, RECFAST, EMLA2s2p, FULL). */ + /* Each model is defined in hydrogen.h */ + +/* !!!!! Do NOT change any numbers below unless you know what's going on with each parameter exactly !!!!! */ + +#define SIZE_ErrorM 2048 + +#define DXHEII_MAX 1e-5 /* If xHeII - xHeII(Saha) < DXEHII_MAX, use post-Saha expansion for Helium.*/ +#define DXHEII_DIFF_MAX 5e-2 /* If |1-dxHeIIdlna_prev/dxHeIIdlna| > DXHEII_DIFF_MAX, do loop with 10 times smaller time step */ + +#define DXHII_MAX 3e-4 /* If xHII - xHII(Saha) < DXHII_MAX, use post-Saha expansion for Hydrogen. Switch to ODE integration after that. + IMPORTANT: do not set to a lower value unless using a smaller time-step */ +#define DXHII_DIFF_MAX 5e-2 /* If |1-dxHIIdlna_prev/dxHIIdlna| > DXHII_DIFF_MAX, do loop with 10 times smaller time step */ + +#define XHEII_MIN 1e-6 /* Stop considering Helium recombination once xHeII < XHEII_MIN */ +//#define XHEII_MIN 1e-10 /* Used when calculating correction function in SWIFT mode */ + +#define DLNT_MAX 5e-4 /* Use the steady-state approximation for Tm as long as 1-Tm/Tr < DLNT_MAX, then switch to ODE integration */ +#define DTM_DIFF_MAX 5e-2 /* If |1-dTmdlna_prev/dTmdlna| > DTM_DIFF_MAX, evole Tm with implicit method */ + +void rec_get_cosmoparam(FILE *fin, FILE *fout, REC_COSMOPARAMS *param); + +double rec_HubbleRate(REC_COSMOPARAMS *param, double z); + +double rec_Tmss(double z, double xe, REC_COSMOPARAMS *cosmo, double dEdtdV, double H); + +double rec_dTmdlna(double z, double xe, double Tm, REC_COSMOPARAMS *cosmo, double dEdtdV, double H); + +double Tm_implicit(double z, double xe, double Tm, REC_COSMOPARAMS *cosmo, double dEdtdV, double H, double DLNA); + +void rec_get_xe_next1_He(HYREC_DATA *data, double z_in, double *xHeII, double dxHeIIdlna_prev[2], + double *hubble_array, int flag); + +void rec_xH1_stiff(HYREC_DATA *data, int model, double z, double xHeII, double *xH1, unsigned iz_rad, double H); + +void get_rec_next2_HHe(HYREC_DATA *data, int model, double z_in, long iz, double *xH1, double *xHeII, + double dxHIIdlna_prev[2], double dxHeIIdlna_prev[2], double H); + +void rec_get_xe_next1_H(HYREC_DATA *data, int model, double z_in, long iz, double xe_in, double Tm_in, + double *xe_out, double *Tm_out, double dxedlna_prev[2], double H, int flag); + +void rec_get_xe_next2_HTm(HYREC_DATA *data, int model, double z_in, long iz, double dxedlna_prev[2], + double dTmdlna_prev[2], double H, double z_out, double H_next); + +char* rec_build_history(HYREC_DATA *data, int model, double *hubble_array); + +void hyrec_allocate(HYREC_DATA *data, double zmax, double zmin); +void hyrec_free(HYREC_DATA *data); +void hyrec_compute(HYREC_DATA *data, int model); +double hyrec_xe(double z, HYREC_DATA *data); +double hyrec_Tm(double z, HYREC_DATA *data); + +#endif diff --git a/external/HyRec2020/hydrogen.c b/external/HyRec2020/hydrogen.c new file mode 100644 index 00000000..233f174b --- /dev/null +++ b/external/HyRec2020/hydrogen.c @@ -0,0 +1,1095 @@ +/********************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (C2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* hydrogen.c: all functions related to Hydrogen recombination */ +/* */ +/* Units used: cgs + eV (all temperatures in eV) */ +/* */ +/* Revision history: */ +/* - January 2020: - Added new mode, SWIFT */ +/* - December 2014: Added effect of non-standard energy injection */ +/* - May 2012: - Now solve for the photon distortion instead of absolute value */ +/* of radiation field (less prone to numerical errors) */ +/* - Improved the post-Saha expansion to properly account for */ +/* non-thermal distortions */ +/* - Added explicit dependence on fine-structure constant */ +/* (fsR = alpha/alpha0) and electron mass (meR = me/me0 ~ mue/mue0) */ +/* - Included dependence on xe and xHII in case HeII still present */ +/* - January 2011: - changed the post-Saha expansion to use the full derivative */ +/* (including two-photon processes and diffusion) rather than Peebles'ODE */ +/* - post-Saha expansion can now pass the difference from Saha value */ +/* to external routines */ +/* - differential 2s--1s rate is now systematically normalized to */ +/* total 2s--1s rate that can be set by user in hydrogen.h */ +/* - Written November 2010 */ +/********************************************************************************************************/ + + +#include +#include +#include +#include + +#include "hyrectools.h" +#include "hydrogen.h" + + +/*********************************************************************************************************** +Some constants appropriately rescaled for different values of the fine-structure constant and electron mass +***********************************************************************************************************/ + +double SAHA_FACT(double fsR, double meR) { + return 3.016103031869581e21 * cube(fsR*meR); /* (2 pi mu_e * EI/EI0)^(3/2)/h^3 in eV^(-3/2) cm^(-3), used for Saha equilibrium and detailed balance */ +} + +double LYA_FACT(double fsR, double meR) { + return 4.662899067555897e15 * cube(fsR*fsR*meR); /* 8pi/(3 lambda_Lya^3) in cm^(-3), used as prefactor for Lyman-alpha Sobolev escape probability */ +} + +double L2s_rescaled(double fsR, double meR) { /* Rescaled two-photon decay rate */ + return L2s1s * square(fsR*fsR*fsR*fsR) * meR; +} + +/***************************************************************************************************** +Temperature rescaling given fine-structure constant and electron mass, so we can use today's EI value +*****************************************************************************************************/ + +void rescale_T(double *T, double fsR, double meR) { + *T /= fsR*fsR*meR; +} + +/************************************************************************************************** +Case-B recombination coefficient and photoionization rate, fit of Pequignot et al 1991, in cm^3 s^{-1} +INPUT TEMPERATURE ASSUMED TO BE ALREADY RESCALED FOR VALUES OF alpha_fs and me +***************************************************************************************************/ + +double alphaB_PPB(double TM, double fsR, double meR) { + double t4; + + t4 = TM/kBoltz/1e4; + return square(fsR/meR) * 4.309e-13*pow(t4,-0.6166)/(1.+ 0.6703*pow(t4,0.5300)); +} + +/************************************************************************************************** +Effective three-level atom model with adjustable fudge factor. +Fudge = 1 is Peebles' model. Fudge = 1.14 is similar to RecFast (Seager et al. 1999, 2000). +Changes (May 2012): +- Correction: detailed balance implies that the photoionization rate is proportional to alpha_B(Tr) rather than alpha_B(Tm) +- Analytically subtract nearly-cancelling terms at high-z +- Explicit dependence on alpha_fs and m_e now accounted for +- Added explicit dependence on xHII, which is not necessarily equal to xe if Helium has not entirely recombined +December 2014: +- Added additional ionization and excitations due to additional energy injection. + dEdtdV is the rate of energy deposition rate per unit volume (in eV/s/cm^3) +***************************************************************************************************/ + +double rec_TLA_dxHIIdlna(REC_COSMOPARAMS *cosmo, double xe, double xHII, double nH, double H, double TM, double TR, double Fudge) { + + double RLya, alphaB_TM, alphaB_TR, four_betaB, C, s, Dxe2, DalphaB; + double fsR = cosmo->fsR, meR = cosmo->meR; + + rescale_T(&TM, fsR, meR); + rescale_T(&TR, fsR, meR); + + RLya = LYA_FACT(fsR, meR) * H / nH / (1.-xHII); + alphaB_TM = Fudge * alphaB_PPB(TM, fsR, meR); + alphaB_TR = Fudge * alphaB_PPB(TR, fsR, meR); + + four_betaB = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-0.25*EI/TR) * alphaB_TR; + C = (3.*RLya + L2s_rescaled(fsR, meR))/(3.*RLya + L2s_rescaled(fsR, meR) + four_betaB); /* Peebles' C-factor */ + + s = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-EI/TR)/nH; + Dxe2 = xe*xHII - s*(1.-xHII); /* xe xp - xe xp[Saha eq with 1s] -- gives more compact expressions */ + DalphaB = alphaB_TM - alphaB_TR; + + return -nH*(s*(1.-xHII)*DalphaB + Dxe2*alphaB_TM)*C/H + (cosmo->inj_params->ion + (1.-C)*cosmo->inj_params->exclya)/H; + +} + +/********************************************************************************************** +Allocates memory for the structure HYREC_ATOMIC, and reads and stores +effective-few-level rates and two-photon rates. +This function is a merger of two previous functions for effective rates and two-photon rates. +**********************************************************************************************/ + +void allocate_and_read_atomic(HYREC_ATOMIC *atomic, int *error, char *path_to_hyrec, char error_message[SIZE_ErrorM]){ + + /*********** Effective rates *************/ + + char *alpha_file, *rr_file, *twog_file; + char sub_message[128]; + alpha_file = malloc(SIZE_InputFile); + alpha_file[0] = 0; + strcat(alpha_file, path_to_hyrec); + strcat(alpha_file, ALPHA_FILE); + + FILE *fA = fopen(alpha_file, "r"); + if (fA == NULL) { + sprintf(sub_message, "in allocate_and_read_atomic: could not open file %s \n", alpha_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + + rr_file = malloc(SIZE_InputFile); + rr_file[0] = 0; + strcat(rr_file, path_to_hyrec); + strcat(rr_file, RR_FILE); + + FILE *fR = fopen(rr_file, "r"); + if (fR == NULL) { + sprintf(sub_message, "in allocate_and_read_atomic: could not open file %s \n", rr_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + + unsigned i, j, l; + + /* Allocate memory */ + atomic->logAlpha_tab[0] = create_2D_array(NTM, NTR, error, error_message); + atomic->logAlpha_tab[1] = create_2D_array(NTM, NTR, error, error_message); + atomic->logAlpha_tab[2] = create_2D_array(NTM, NTR, error, error_message); + atomic->logAlpha_tab[3] = create_2D_array(NTM, NTR, error, error_message); + + maketab(log(TR_MIN), log(TR_MAX), NTR, atomic->logTR_tab); + maketab(T_RATIO_MIN, T_RATIO_MAX, NTM, atomic->T_RATIO_tab); + atomic->DlogTR = atomic->logTR_tab[1] - atomic->logTR_tab[0]; + atomic->DT_RATIO = atomic->T_RATIO_tab[1] - atomic->T_RATIO_tab[0]; + + for (i = 0; i < NTR; i++) { + for (j = 0; j < NTM; j++) for (l = 0; l <= 3; l++) { + if( fscanf(fA, "%le", &(atomic->logAlpha_tab[l][j][i])) != 1){ + sprintf(sub_message, "in allocate_and_read_atomic: could not read file %s completely -- The file might be corrupted\n", alpha_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + atomic->logAlpha_tab[l][j][i] = log(atomic->logAlpha_tab[l][j][i]); + } + if ( fscanf(fR, "%le", &(atomic->logR2p2s_tab[i])) != 1){ + sprintf(sub_message, "in allocate_and_read_atomic: could not read file %s completely -- The file might be corrupted\n", rr_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + atomic->logR2p2s_tab[i] = log(atomic->logR2p2s_tab[i]); + } + fclose(fA); + fclose(fR); + + /************ Two-photon rates ************/ + + FILE *f2g; + unsigned b; + double L2s1s_current; + int fscanf_counter; + + twog_file = malloc(SIZE_InputFile); + twog_file[0] = 0; + strcat(twog_file, path_to_hyrec); + strcat(twog_file, TWOG_FILE); + + f2g = fopen(twog_file, "r"); + if (f2g == NULL) { + sprintf(sub_message, "in allocate_and_read_atomic: could not open file %s \n", twog_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + + for (b = 0; b < NVIRT; b++) { + fscanf_counter = 0; + fscanf_counter+= fscanf(f2g, "%le", &(atomic->Eb_tab[b])); + fscanf_counter+= fscanf(f2g, "%le", &(atomic->A1s_tab[b])); + fscanf_counter+= fscanf(f2g, "%le", &(atomic->A2s_tab[b])); + fscanf_counter+= fscanf(f2g, "%le", &(atomic->A3s3d_tab[b])); + fscanf_counter+= fscanf(f2g, "%le", &(atomic->A4s4d_tab[b])); + if(fscanf_counter!=5){ + sprintf(sub_message, "in allocate_and_read_atomic: could not read file %s completely -- The file might be corrupted\n", twog_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + } + fclose(f2g); + + /* Normalize 2s--1s differential decay rate to L2s1s (can be set by user in hydrogen.h) */ + L2s1s_current = 0.; + for (b = 0; b < NSUBLYA; b++) L2s1s_current += atomic->A2s_tab[b]; + for (b = 0; b < NSUBLYA; b++) atomic->A2s_tab[b] *= L2s1s/L2s1s_current; + + /* Switches for the various effects considered in Hirata (2008) and diffusion: + Effect A: correct 2s-->1s rate, with stimulated decays and absorptions of non-thermal photons + Effect B: Sub-Lyman-alpha two-photon decays + Effect C: Super-Lyman-alpha two-photon decays + Effect D: Raman scattering */ + + #if (EFFECT_A == 0) + for (b = 0; b < NSUBLYA; b++) atomic->A2s_tab[b] = 0; + #endif + #if (EFFECT_B == 0) + for (b = 0; b < NSUBLYA; b++) atomic->A3s3d_tab[b] = atomic->A4s4d_tab[b] = 0; + #endif + #if (EFFECT_C == 0) + for (b = NSUBLYA; b < NVIRT; b++) atomic->A3s3d_tab[b] = atomic->A4s4d_tab[b] = 0; + #endif + #if (EFFECT_D == 0) + for (b = NSUBLYA; b < NVIRT; b++) atomic->A2s_tab[b] = 0; + for (b = NSUBLYB; b < NVIRT; b++) atomic->A3s3d_tab[b] = 0; + #endif + #if (DIFFUSION == 0) + for (b = 0; b < NVIRT; b++) atomic->A1s_tab[b] = 0; + #endif + + free(alpha_file); + free(rr_file); + free(twog_file); + +} + +/*********************************************************************************************** +Free the memory for rate tables. +***********************************************************************************************/ + +void free_atomic(HYREC_ATOMIC *atomic){ + free_2D_array(atomic->logAlpha_tab[0], NTM); + free_2D_array(atomic->logAlpha_tab[1], NTM); + free_2D_array(atomic->logAlpha_tab[2], NTM); + free_2D_array(atomic->logAlpha_tab[3], NTM); +} + + +/********************************************************************************************** +Allocates memory for the structure FIT_FUNC, and reads and stores +correction function for SWIFT mode +**********************************************************************************************/ + +void allocate_and_read_fit(FIT_FUNC *fit, int *error, char *path_to_hyrec, char error_message[SIZE_ErrorM]){ + + char sub_message[128]; + + /*********** Effective rates *************/ + char *fit_file; + fit_file = malloc(SIZE_InputFile); + fit_file[0] = 0; + strcat(fit_file, path_to_hyrec); + strcat(fit_file, FIT_FILE); + + FILE *fA = fopen(fit_file, "r"); + if (fA == NULL) { + sprintf(sub_message, "in allocate_and_read_fit: could not open file %s \n", fit_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + unsigned i, j; + + /* Allocate memory */ + fit->swift_func[0] = create_1D_array(DKK_SIZE, error, error_message); + fit->swift_func[1] = create_1D_array(DKK_SIZE, error, error_message); + fit->swift_func[2] = create_1D_array(DKK_SIZE, error, error_message); + fit->swift_func[3] = create_1D_array(DKK_SIZE, error, error_message); + fit->swift_func[4] = create_1D_array(DKK_SIZE, error, error_message); + + for (i = 0; i < DKK_SIZE; i++) { + for (j = 0; j < 5; j++) { + if( fscanf(fA,"%le", &(fit->swift_func[j][i])) != 1){ + sprintf(sub_message, "in allocate_and_read_atomic: could not read file %s completely -- The file might be corrupted\n", fit_file); + strcat(error_message, sub_message); + *error = 1; + return; + } + } + } + fclose(fA); + free(fit_file); +} + + +/*********************************************************************************************** +Free the memory for rate tables. +***********************************************************************************************/ + +void free_fit(FIT_FUNC *fit){ + unsigned j; + for (j = 0; j < 5; j++) free(fit->swift_func[j]); +} + +/************************************************************************************************ +Interpolation of tabulated effective rates +To be (slightly) more efficient, not using the external interpolation routine. +Gets the correct rates for given fine-structure constant and electron mass. +- Modified May 2012: - Accounts for different alpha_fs and m_e + - Also returns DAlpha[2], table of ALpha(Tm, Tr) - ALpha(Tr, Tr) +INPUT TEMPERATURE ASSUMED TO BE ALREADY RESCALED FOR VALUES OF alpha_fs and me +- Modified December 2014: additional heating sometimes brings Tm slightly larger than Tr. + If this is the case, use Tm = Tr in the recombination rates. + Will eventually re-tabulate the effective rates for Tm/Tr > 1 to fix this. +************************************************************************************************/ + +void interpolate_rates(double Alpha[2], double DAlpha[2], double Beta[2], double *R2p2s, double TR, double TM_TR, + HYREC_ATOMIC *atomic, double fsR, double meR, int *error, char error_message[SIZE_ErrorM]) { + unsigned l, k, i; + long iTM, iTR; + double frac1, frac2; + double logTR, T_RATIO; + double coeff1[4], coeff2[4], temp[4]; + double Alpha_eq[2]; + char sub_message[128]; + + /* Check that TM/TR is in range */ + if (TM_TR < T_RATIO_MIN) { + sprintf(sub_message, "in interpolate_rates: TM/TR = %f is out of range.\n", TM_TR); + strcat(error_message, sub_message); + *error = 1; + return; + } + + /* T_RATIO is defined to be min(TM_TR, TR_TM) */ + if (TM_TR > 1.) { + T_RATIO = 1./TM_TR; i = 2; + } + else { + T_RATIO = TM_TR; i = 0; + } + + /* Check if log(TR) is in the range tabulated */ + if (TR < TR_MIN || TR > TR_MAX) { + sprintf(sub_message, "in interpolate_rates: TR = %f is out of range.\n", TR); + strcat(error_message, sub_message); + *error = 1; + return; + } + + /**** TR-only-dependent functions ****/ + + /* Identify location to interpolate in log(TR) */ + logTR = log(TR); + + iTR = (long)floor((logTR - log(TR_MIN))/atomic->DlogTR); + if (iTR < 1) iTR = 1; + if (iTR > NTR-3) iTR = NTR-3; + frac2 = (logTR - log(TR_MIN))/atomic->DlogTR - iTR; + coeff2[0] = frac2*(frac2-1.)*(2.-frac2)/6.; + coeff2[1] = (1.+frac2)*(1.-frac2)*(2.-frac2)/2.; + coeff2[2] = (1.+frac2)*frac2*(2.-frac2)/2.; + coeff2[3] = (1.+frac2)*frac2*(frac2-1.)/6.; + + for (l = 0; l <= 1; l++) { + /* Alpha evaluated at Tm = Tr */ + Alpha_eq[l] = square(fsR/meR)* exp(atomic->logAlpha_tab[l][NTM-1][iTR-1]*coeff2[0] + +atomic->logAlpha_tab[l][NTM-1][iTR]*coeff2[1] + +atomic->logAlpha_tab[l][NTM-1][iTR+1]*coeff2[2] + +atomic->logAlpha_tab[l][NTM-1][iTR+2]*coeff2[3]); + + /* Beta obtained by detailed balance from Alpha(Tr, Tr) */ + /* prefactor = pow(2.0 * M_PI * mue *TR / hPc / hPc, 1.5)) * exp(-0.25*EI/TR) */ + Beta[l] = Alpha_eq[l] * SAHA_FACT(fsR, meR) * TR*sqrt(TR) *exp(-0.25*EI/TR)/(2.*l+1.); + } + + /* Effective 2p->2s rate */ + *R2p2s = fsR*fsR*fsR*fsR*fsR*meR * + exp(atomic->logR2p2s_tab[iTR-1]*coeff2[0] + +atomic->logR2p2s_tab[iTR]*coeff2[1] + +atomic->logR2p2s_tab[iTR+1]*coeff2[2] + +atomic->logR2p2s_tab[iTR+2]*coeff2[3]); + + /**** Effective recombination coefficients Alpha(Tm, Tr) ****/ + + /* Identify location to interpolate in T_RATIO */ + iTM = (long)floor((T_RATIO - T_RATIO_MIN)/atomic->DT_RATIO); + if (iTM < 1) iTM = 1; + if (iTM > NTM-3) iTM = NTM-3; + frac1 = (T_RATIO - T_RATIO_MIN)/atomic->DT_RATIO - iTM; + coeff1[0] = frac1*(frac1-1.)*(2.-frac1)/6.; + coeff1[1] = (1.+frac1)*(1.-frac1)*(2.-frac1)/2.; + coeff1[2] = (1.+frac1)*frac1*(2.-frac1)/2.; + coeff1[3] = (1.+frac1)*frac1*(frac1-1.)/6.; + + for (l = 0; l <= 1; l++) { + /* effective recombination coefficient to each level */ + for (k = 0; k < 4; k++) { + temp[k] = atomic->logAlpha_tab[l+i][iTM-1+k][iTR-1]*coeff2[0] + + atomic->logAlpha_tab[l+i][iTM-1+k][iTR]*coeff2[1] + + atomic->logAlpha_tab[l+i][iTM-1+k][iTR+1]*coeff2[2] + + atomic->logAlpha_tab[l+i][iTM-1+k][iTR+2]*coeff2[3]; + } + + Alpha[l] = square(fsR/meR)* exp(temp[0]*coeff1[0]+temp[1]*coeff1[1] + +temp[2]*coeff1[2]+temp[3]*coeff1[3]); + + DAlpha[l] = Alpha[l] - Alpha_eq[l]; + } +} + + +double rec_swift_hyrec_dxHIIdlna(HYREC_DATA *data, double xe, double xHII, double nH, double H, double TM, double TR, double z){ + + REC_COSMOPARAMS *cosmo = data-> cosmo; + HYREC_ATOMIC *atomic = data->atomic; + FIT_FUNC *fit = data->fit; + int *error = &data->error; + double fsR = cosmo->fsR, meR = cosmo->meR; + double Alpha[2], DAlpha[2], Beta[2], R2p2s, RLya; + double DK_K_fid=0., DK_K, fitted_RLya; + double C_2s, C_2p, gamma_2s, gamma_2p, s, Dxe2; + static double diff[3]; + unsigned i; + double ratio; + char sub_message[128]; + double T0fid_T0; + if (*error == 1) return 0.; + + ratio = TM/TR; + rescale_T(&TR, fsR, meR); + TM = ratio * TR; // This way ensure that TM<=TR is preserved + T0fid_T0 = 2.7255 / (TR/kBoltz/(1.+z)); + + /* The numbers in the following lines are fiducial parameters for correction function (Do not change) */ + diff[0] = (cosmo->ocbh2 - 0.14175)*pow(T0fid_T0,3); + diff[1] = (cosmo->obh2*(1-cosmo->YHe) - 0.02242*(1-0.246738546372))*pow(T0fid_T0,3); + diff[2] = cosmo->Neff-3.046; + + interpolate_rates(Alpha, DAlpha, Beta, &R2p2s, TR, TM/TR, atomic, fsR, meR, error, data->error_message); + + RLya = LYA_FACT(fsR, meR) *H/nH/(1.-xHII); // 8 PI H/(3 nH x1s lambda_Lya^3) + + if (TR/kBoltz > fit->swift_func[0][DKK_SIZE-1]) DK_K = 0.; + else { + DK_K_fid = rec_interp1d(fit->swift_func[0][0], 10., fit->swift_func[1], DKK_SIZE, TR/kBoltz, error, data->error_message); + + for (i = 0; i < 3; i++) { + DK_K_fid = DK_K_fid + diff[i]*rec_interp1d(fit->swift_func[0][0], 10., fit->swift_func[i+2], + DKK_SIZE, TR/kBoltz, error, data->error_message); + } + } + + DK_K = DK_K_fid; + fitted_RLya = RLya / (1.+DK_K); + gamma_2s = Beta[0] + 3.*R2p2s + L2s_rescaled(fsR, meR); + gamma_2p = Beta[1] + R2p2s + fitted_RLya; + C_2s = (L2s_rescaled(fsR, meR)+3.*R2p2s*fitted_RLya/gamma_2p)/(gamma_2s-3.*R2p2s*R2p2s/gamma_2p); + C_2p = (fitted_RLya+R2p2s*L2s_rescaled(fsR, meR)/gamma_2s)/(gamma_2p-R2p2s*3.*R2p2s/gamma_2s); + + s = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-EI/TR)/nH; + Dxe2 = xe*xHII - s*(1.-xHII); // xe^2 - xe^2[Saha eq with 1s] -- gives more compact expressions + + if (*error == 1) { + sprintf(sub_message, " called from rec_swift_hyrec_dxHIIdlna\n"); + strcat(data->error_message, sub_message); + return 0.; + } + + return -nH/H *( (s*(1.-xHII)*DAlpha[0] + Alpha[0]*Dxe2)*C_2s + (s*(1.-xHII)*DAlpha[1] + Alpha[1]*Dxe2)*C_2p) + + (cosmo->inj_params->ion + (0.25*(1.-C_2s) + 0.75*(1.-C_2p))*cosmo->inj_params->exclya)/H ; +} + +/************************************************************************************************ +Solves for the populations of the 2s and 2p states in steady-state, and returns dxe/dlna. +Uses standard rate for 2s-->1s decay and Sobolev for Lyman alpha (no feedback), +and fully accounts for virtually all transitions among excited states through effective rates. +Inputs: xe, nH in cm^{-3}, H in s^{-1}, TM, TR in eV. Output: dxe/dlna +Changes May 2012: +- Now use the analytic expressions using the generalized Peebles' C factors +[see companion paper, Eqs. (43)-(46)]. +- Also explicitly subtract nearly cancelling terms at early times. +- Account for explicit dependence on alpha_fs and m_e +- Added explicit dependence on xHII, which is not necessarily equal to xe if Helium has not entirely recombined +December 2014: +- Added dependence on extra energy deposited in the plasma, dEdtdV in eV/s/cm^3 +************************************************************************************************/ + +double rec_HMLA_dxHIIdlna(HYREC_DATA *data, double xe, double xHII, double nH, double H, double TM, double TR) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + HYREC_ATOMIC *atomic = data->atomic; + int *error = &data->error; + double fsR = cosmo->fsR, meR = cosmo->meR; + + double Alpha[2], DAlpha[2], Beta[2], R2p2s, RLya; + double Gamma_2s, Gamma_2p, C2s, C2p, s, Dxe2; + double ratio; + char sub_message[128]; + if (*error == 1) return 0.; + ratio = TM/TR; + rescale_T(&TR, fsR, meR); + TM = ratio * TR; /* This way ensure that TM<=TR is preserved */ + interpolate_rates(Alpha, DAlpha, Beta, &R2p2s, TR, TM/TR, atomic, fsR, meR, error, data->error_message); + if (*error == 1) { + sprintf(sub_message, " called from rec_HMLA_dxHIIdlna\n"); + strcat(data->error_message, sub_message); + return 0.; + } + + RLya = LYA_FACT(fsR, meR) *H/nH/(1.-xHII); /* 8 PI H/(3 nH x1s lambda_Lya^3) */ + + /* Effective inverse lifetimes of 2s and 2p states */ + Gamma_2s = Beta[0] + 3.*R2p2s + L2s_rescaled(fsR, meR); + Gamma_2p = Beta[1] + R2p2s + RLya; + + /* Generalization of Peebles' C factor */ + C2s = (L2s_rescaled(fsR, meR) + 3.*R2p2s * RLya/Gamma_2p)/(Gamma_2s - 3.*R2p2s*R2p2s/Gamma_2p); + C2p = (RLya + R2p2s * L2s_rescaled(fsR, meR)/Gamma_2s)/(Gamma_2p - 3.*R2p2s*R2p2s/Gamma_2s); + + s = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-EI/TR)/nH; + Dxe2 = xe*xHII - s*(1.-xHII); /* xe^2 - xe^2[Saha eq with 1s] -- gives more compact expressions */ + + return -nH/H *( (s*(1.-xHII)*DAlpha[0] + Alpha[0]*Dxe2)*C2s + (s*(1.-xHII)*DAlpha[1] + Alpha[1]*Dxe2)*C2p ) + + (cosmo->inj_params->ion + (0.25*(1.-C2s) + 0.75*(1.-C2p))*cosmo->inj_params->exclya)/H ; + +} + +/******************************************************************************************************** +Compute the A_{b,b+/-1} "Einstein A-"coefficients between virtual states, due to diffusion +(In the notation of the paper, A_{b,b\pm1} = R_{b,b\pm1}) +Aup[b] = A_{b, b+1} Adn[b] = A_{b, b-1} +********************************************************************************************************/ + +void populate_Diffusion(double *Aup, double *Adn, double *A2p_up, double *A2p_dn, + double TM, double Eb_tab[NVIRT], double A1s_tab[NVIRT]) { + + unsigned b; + double DE2; + + DE2 = E21*E21*2.*TM/mH; + + /****** RED WING ******/ + b = NSUBLYA - NDIFF/2; + Aup[b] = DE2 / square(Eb_tab[b+1] - Eb_tab[b]) * A1s_tab[b]; /* A{0,1}. Assume A{0,-1} = 0 */ + + for (b = NSUBLYA - NDIFF/2 + 1; b < NSUBLYA-1; b++) { + Adn[b] = exp((Eb_tab[b] - Eb_tab[b-1])/TM) * Aup[b-1]; /* Detailed balance */ + Aup[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b] - Eb_tab[b-1]) * Adn[b]) + /square(Eb_tab[b+1] - Eb_tab[b]); /* Aup[b] , Adn[b] must add up to correct diffusion rate */ + } + /* Last bin below Lyman alpha */ + b = NSUBLYA - 1; + Adn[b] = exp((Eb_tab[b] - Eb_tab[b-1])/TM) * Aup[b-1]; + + Aup[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b] - Eb_tab[b-1]) * Adn[b]) + /square(E21 - Eb_tab[b]); + *A2p_dn = exp((E21 - Eb_tab[b])/TM)/3.* Aup[b]; /* 2p -> NSUBLYA-1 rate obtained by detailed balance */ + + + /****** BLUE WING ******/ + b = NSUBLYA + NDIFF/2 - 1; + Adn[b] = DE2 / square(Eb_tab[b] - Eb_tab[b-1]) * A1s_tab[b]; + + for (b = NSUBLYA + NDIFF/2 - 2; b > NSUBLYA; b--) { + Aup[b] = exp((Eb_tab[b] - Eb_tab[b+1])/TM) * Adn[b+1]; + Adn[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b+1] - Eb_tab[b]) * Aup[b]) + /square(Eb_tab[b] - Eb_tab[b-1]); + } + /* First bin above Lyman alpha */ + b = NSUBLYA; + Aup[b] = exp((Eb_tab[b] - Eb_tab[b+1])/TM) * Adn[b+1]; + + Adn[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b+1] - Eb_tab[b]) * Aup[b]) + /square(Eb_tab[b] - E21); + *A2p_up = exp((E21 - Eb_tab[b])/TM)/3. * Adn[b]; /* 2p -> NSUBLYA rate obtained by detailed balance */ + +} + +/********************************************************************************************************* + Populate the real-real, real-virtual, virtual-real and virtual-virtual T-matrices, + as well as the source vectors sr, sv, given Dxe = xe - xe[Saha] as an input. +WITH DIFFUSION. Tvv[0][b] is the diagonal element Tbb, Tvv[1][b] = T{b,b-1} and Tvv[2][b] = T{b,b+1} +Also, computes and stores the optical depths Delta tau_b for future use + +Modified May 2012: - now uses the photon distortion +instead of absolute photon occupation number. +- Accounts for explicit dependence on alpha_fs and m_e +INPUT TEMPERATURE ASSUMED TO BE ALREADY RESCALED FOR VALUES OF alpha_fs and me +- Added explicit dependence on xHII, which is not necessarily equal to xe if Helium has not entirely recombined + +December 2014: Added dependence on additional energy deposition dEdtdV in eV/s/cm^3. +**********************************************************************************************************/ + +void populateTS_2photon(double Trr[2][2], double *Trv[2], double *Tvr[2], double *Tvv[3], + double sr[2], double sv[NVIRT], double Dtau[NVIRT], + double xe, double xHII, double TM, double TR, double nH, double H, HYREC_ATOMIC *atomic, + double Dfplus[NVIRT], double Dfplus_Ly[], + double Alpha[2], double DAlpha[2], double Beta[2], double fsR, double meR, double exclya, + int *error, char error_message[SIZE_ErrorM]) { + + unsigned b; + double R2p2s, RLya, Gammab, one_minus_Pib, dbfact, x1s, s, Dxe2; + double A2p_up, A2p_dn, rescale2g, rescalediff; + double *Aup, *Adn; + char sub_message[128]; + + /*** Added May 2012: rescalings for dependence on alpha and me ***/ + rescale2g = square(fsR*fsR*fsR*fsR)*meR; /* for two-photon rates */ + rescalediff = rescale2g * fsR*fsR*meR; + /* diffusion rate ~ two-photon rate * TM ~ two-photon rate * alpha^2 me * rescaled(TM) [which is assumed as an input] */ + + + Aup = create_1D_array(NVIRT, error, error_message); + Adn = create_1D_array(NVIRT, error, error_message); + + x1s = 1.-xHII; + s = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-EI/TR)/nH; + Dxe2 = xe*xHII - s*x1s; + + RLya = LYA_FACT(fsR, meR) *H /nH/x1s; /*8 PI H/(3 nH x1s lambda_Lya^3) */ + + interpolate_rates(Alpha, DAlpha, Beta, &R2p2s, TR, TM / TR, atomic, fsR, meR, error, error_message); + if (*error == 1) { + sprintf(sub_message, " called from populateTS_2photon\n"); + strcat(error_message, sub_message); + return; + } + + + /****** 2s row and column ******/ + + Trr[0][0] = Beta[0] + 3.*R2p2s + + 3.* RLya * (1.664786871919931 *exp(-E32/TR) /* Ly-beta escape */ + + 1.953125 *exp(-E42/TR)); /* Ly-gamma escape */ + + Trr[0][1] = -R2p2s; + sr[0] = nH * (s*x1s*DAlpha[0] + Alpha[0]*Dxe2) + 3.* RLya * x1s * 1.664786871919931 *Dfplus_Ly[1]; + sr[0] += 0.25 *exclya; + + #if (EFFECT_A == 0) /* Standard treatment of 2s-->1s two-photon decays */ + Trr[0][0] += L2s1s*rescale2g; /* rescaled for alpha, me */ + #endif + + + /****** 2p row and column ******/ + + Trr[1][1] = Beta[1] + R2p2s + RLya; + Trr[1][0] = -3.*R2p2s; + sr[1] = nH * (s*x1s*DAlpha[1] + Alpha[1]*Dxe2) + 3.*RLya * x1s * Dfplus_Ly[0]; + sr[1] += 0.75 *exclya; + + /***** Two-photon transitions: populating Trv, Tvr and updating Trr ******/ + + for (b = 0; b < NVIRT; b++) { + dbfact = exp((atomic->Eb_tab[b] - E21)/TR); + + Trr[0][0] -= Tvr[0][b] = -rescale2g*atomic->A2s_tab[b]/fabs(exp((atomic->Eb_tab[b] - E21)/TR)-1.); + Trv[0][b] = Tvr[0][b] *dbfact; + + Trr[1][1] -= Tvr[1][b] = -exp(-E32/TR)/3. * rescale2g*atomic->A3s3d_tab[b]/fabs(exp((atomic->Eb_tab[b] - E31)/TR)-1.) + -exp(-E42/TR)/3. * rescale2g*atomic->A4s4d_tab[b]/fabs(exp((atomic->Eb_tab[b] - E41)/TR)-1.); + Trv[1][b] = Tvr[1][b] *3.*dbfact; + } + + /****** Tvv and sv. Accounting for DIFFUSION ******/ + + populate_Diffusion(Aup, Adn, &A2p_up, &A2p_dn, TM, atomic->Eb_tab, atomic->A1s_tab); + + /*** Added May 2012: rescale for dependence on alpha and me ***/ + A2p_up *= rescalediff; + A2p_dn *= rescalediff; + for (b = 0; b < NVIRT; b++) { + Aup[b] *= rescalediff; + Adn[b] *= rescalediff; + } + + /* Updating Tvr, Trv, Trr for diffusion between line center ("2p state") and two neighboring bins */ + + Trr[1][1] += (A2p_dn + A2p_up); + + for (b = 0; b < NVIRT; b++) { + + Gammab = -(Trv[0][b] + Trv[1][b]) + Aup[b] + Adn[b]; /* Inverse lifetime of virtual state b */ + + /*** Diffusion region ***/ + if ( (b >= NSUBLYA - NDIFF/2 && b < NSUBLYA - 1) ||(b > NSUBLYA && b < NSUBLYA + NDIFF/2)) { + Tvv[1][b] = -Aup[b-1]; + Tvv[2][b] = -Adn[b+1]; + } + /* Bins neighboring Lyman alpha. */ + if (b == NSUBLYA-1) { + Tvv[1][b] = -Aup[b-1]; + Tvv[2][b] = 0.; + Tvr[1][b] -= A2p_dn; + Trv[1][b] -= Aup[b]; + } + if (b == NSUBLYA) { + Tvv[1][b] = 0.; + Tvv[2][b] = -Adn[b+1]; + Tvr[1][b] -= A2p_up; + Trv[1][b] -= Adn[b]; + } + /*********************/ + + Dtau[b] = Gammab * x1s * cube(hPc/atomic->Eb_tab[b]/fsR/fsR/meR) * nH /8. /M_PI /H; + /* Rescaled for alpha, me*/ + + one_minus_Pib = Dtau[b] > 1e-6 ? 1.- (1.-exp(-Dtau[b]))/Dtau[b] : Dtau[b]/2. - square(Dtau[b])/6.; + Tvv[0][b] = Dtau[b] > 0.? Gammab/one_minus_Pib : 2./(x1s * cube(hPc/atomic->Eb_tab[b]/fsR/fsR/meR) * nH /8. /M_PI /H); /* Added May 2012: proper limit Dtau->0 */ + sv[b] = Tvv[0][b] * x1s * Dfplus[b] * (1.-one_minus_Pib); + + } + + free(Aup); + free(Adn); +} + +/********************************************************************* +Solves the linear system T*X = B, where T is a DIAGONALLY DOMINANT +tridiagonal matrix, and X and B are both one-column vectors of N elements. +diag[i] = T_{ii}, updiag[i] = T_{i,i+1}, dndiag[i] = T_{i,i-1} +IMPORTANT: This is NOT THE MOST GENERAL ALGORITHM. Only adapted for the +case we will consider, i.e. |T_{ii}| > |T_{i,i+1}| + |T_{i,i-1}|. +**********************************************************************/ + +void solveTXeqB(double *diag, double *updiag, double *dndiag, double *X, double *B, + unsigned N, int *error, char error_message[SIZE_ErrorM]){ + int i; + double denom; + double *alpha = create_1D_array(N, error, error_message); + double *gamma = create_1D_array(N, error, error_message); /* X[i] = gamma[i] - alpha[i] * X[i+1] */ + + alpha[0] = updiag[0] / diag[0]; + gamma[0] = B[0] / diag[0]; + + for (i = 1; i < N; i++) { + denom = diag[i] - dndiag[i] * alpha[i-1]; + alpha[i] = updiag[i] / denom; + gamma[i] = (B[i] - dndiag[i] * gamma[i-1]) / denom; + } + + X[N-1] = gamma[N-1]; + for (i = N-2; i >= 0; i--) X[i] = gamma[i] - alpha[i] * X[i+1]; + + free(alpha); + free(gamma); +} + +/************************************************************************************************************** +Solves for the populations of the real (2s, 2p) and virtual states +***************************************************************************************************************/ + +void solve_real_virt(double xr[2], double xv[NVIRT], double Trr[2][2], double *Trv[2], double *Tvr[2], double *Tvv[3], + double sr[2], double sv[NVIRT], int *error, char error_message[SIZE_ErrorM]){ + + double *Tvv_inv_Tvr[2]; + double *Tvv_inv_sv; + double Trr_new[2][2]; + double sr_new[2]; + unsigned i, j, b; + double det; + + unsigned NSUBDIFF; + NSUBDIFF = NSUBLYA - NDIFF/2; /* lowest bin of the diffusion region */ + + /** Allocate memory **/ + for (i = 0; i < 2; i++) Tvv_inv_Tvr[i] = create_1D_array(NVIRT, error, error_message); + Tvv_inv_sv = create_1D_array(NVIRT, error, error_message); + + /*** Computing Tvv^{-1}.Tvr ***/ + + for (i = 0; i < 2; i++) { + for (b = 0; b < NSUBDIFF; b++) Tvv_inv_Tvr[i][b] = Tvr[i][b]/Tvv[0][b]; + for (b = NSUBLYA + NDIFF/2; b < NVIRT; b++) Tvv_inv_Tvr[i][b] = Tvr[i][b]/Tvv[0][b]; + solveTXeqB(Tvv[0]+NSUBDIFF, Tvv[2]+NSUBDIFF, Tvv[1]+NSUBDIFF, Tvv_inv_Tvr[i]+NSUBDIFF, Tvr[i]+NSUBDIFF, NDIFF, error, error_message); + } + + /*** Trr_new = Trr - Trv.Tvv^{-1}.Tvr ***/ + for (i = 0; i < 2; i++) for (j = 0; j < 2; j++) { + Trr_new[i][j] = Trr[i][j]; + for (b = 0; b < NVIRT; b++) Trr_new[i][j] -= Trv[i][b]*Tvv_inv_Tvr[j][b]; + } + + /*** Computing Tvv^{-1}.sv ***/ + for (b = 0; b < NSUBDIFF; b++) Tvv_inv_sv[b] = sv[b]/Tvv[0][b]; + for (b = NSUBLYA + NDIFF/2; b < NVIRT; b++) Tvv_inv_sv[b] = sv[b]/Tvv[0][b]; + solveTXeqB(Tvv[0]+NSUBDIFF, Tvv[2]+NSUBDIFF, Tvv[1]+NSUBDIFF, Tvv_inv_sv+NSUBDIFF, sv+NSUBDIFF, NDIFF, error, error_message); + + /*** sr_new = sr - Trv.Tvv^{-1}sv ***/ + for (i = 0; i < 2; i++) { + sr_new[i] = sr[i]; + for (b = 0; b < NVIRT; b++) sr_new[i] -= Trv[i][b]*Tvv_inv_sv[b]; + } + + /*** Solve 2 by 2 system Trr_new.xr = sr_new ***/ + det = Trr_new[0][0] * Trr_new[1][1] - Trr_new[0][1] * Trr_new[1][0]; + xr[0] = (Trr_new[1][1] * sr_new[0] - Trr_new[0][1] * sr_new[1])/det; + xr[1] = (Trr_new[0][0] * sr_new[1] - Trr_new[1][0] * sr_new[0])/det; + + /*** xv = Tvv^{-1}(sv - Tvr.xr) ***/ + for (b = 0; b < NVIRT; b++) xv[b] = Tvv_inv_sv[b] - Tvv_inv_Tvr[0][b]*xr[0] - Tvv_inv_Tvr[1][b]*xr[1]; + + /** Free memory **/ + for (i = 0; i < 2; i++) free(Tvv_inv_Tvr[i]); + free(Tvv_inv_sv); + +} + +/********************************************************************************************* +Interpolation of the photon distortion used to get f+ from f- at a higher frequency bin and earlier time. +Use a simple linear interpolation so the spectrum is always positive. +Added May 2012 +*********************************************************************************************/ + +double interp_Dfnu(double lna_start, double dlna, double *ytab, unsigned int iz, double lna){ + long ind; + double frac; + + /* If iz = 0 or 1, radiation field at earlier times is still thermal. + Also thermal if iz > 1 and lna < lna_start. */ + if (iz == 0 || iz == 1 || lna < lna_start) return 0.; + + /* Check if in range */ + if (lna >= lna_start + dlna*(iz-1)) { + fprintf(stderr, "Error in interp_Dfnu: lna-value out of range in interpolation routine\n"); + fprintf(stderr, "The time-step used is probably too large\n"); + exit(1); + } + + /* If iz >= 2, do a linear interpolation so the spectrum is always positive */ + ind = (long) floor((lna-lna_start)/dlna); + frac = (lna-lna_start)/dlna - ind; + + return (1.-frac)*ytab[ind] + frac*ytab[ind+1]; + +} + +/************************************************************************************************************* +Obtain fplus at each bin, given the history of fminus (simple free-streaming). iz is the current time step. +fminus[0..iz-1] is known. +Assume the Lyman lines are optically thick +Dfminus_hist is a NVIRT by nz array of previous Delta f(nu_b - epsilon)(z) +Dfminus_Ly_hist is a 3 by nz array of previous Deltaf(nu - epsilon) redward of Ly alpha, beta and gamma lines + +Changed May 2012: Now using the interpolation function interp_Dfnu, which only interpolates + over 2 nearest neighbors, which ensures that the distortion is always positive +*************************************************************************************************************/ + +void fplus_from_fminus(double Dfplus[NVIRT], double Dfplus_Ly[], double **Dfminus_hist, double **Dfminus_Ly_hist, + double TR, double zstart, unsigned iz, double z, double Eb_tab[NVIRT]) { + unsigned b; + double ainv, lna_start, zp1; + + zp1 = 1.+z; + lna_start = -log(1.+zstart); + + /*** Bins below Lyman alpha ***/ + for (b = 0; b < NSUBLYA-1; b++) { + ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_hist[b+1], iz, -log(ainv)); + } + + /*** highest bin below Ly-alpha: feedback from optically thick Ly-alpha ***/ + b = NSUBLYA-1; + ainv = zp1*E21/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_Ly_hist[0], iz, -log(ainv)); + + /*** incoming photon occupation number at Lyman alpha ***/ + b = NSUBLYA; /* next highest bin */ + ainv = zp1*Eb_tab[b]/E21; + Dfplus_Ly[0] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_hist[b], iz, -log(ainv)); + + /*** Bins between Lyman alpha and beta ***/ + for (b = NSUBLYA; b < NSUBLYB-1; b++) { + ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_hist[b+1], iz, -log(ainv)); + } + + /*** highest bin below Ly-beta: feedback from Ly-beta ***/ + b = NSUBLYB-1; + ainv = zp1*E31/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_Ly_hist[1], iz, -log(ainv)); + + /*** incoming photon occupation number at Lyman beta ***/ + b = NSUBLYB; /* next highest bin */ + ainv = zp1*Eb_tab[b]/E31; + Dfplus_Ly[1] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_hist[b], iz, -log(ainv)); + + /*** Bins between Lyman beta and gamma ***/ + for (b = NSUBLYB; b < NVIRT-1; b++) { + ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_hist[b+1], iz, -log(ainv)); + } + + /*** highest energy bin: feedback from Ly-gamma ***/ + b = NVIRT-1; + ainv = zp1*E41/Eb_tab[b]; + Dfplus[b] = interp_Dfnu(lna_start, DLNA_HYREC, Dfminus_Ly_hist[2], iz, -log(ainv)); + +} + +/****************************************************************************************************************** +dxe/dlna when including two-photon processes. +Assume fminus[0..iz-1] is known. Update fminus[iz] + +Modified May 2012: +- now use the photon distortion instead of absolute photon occupation number +- Accounts for explicit dependence on alpha_fs and m_e +- Added Dfnu_hist as a variable. Will contain the *average* distortion within each bin + +December 2014: added dependence on additional energy injection dEdtdV in eV/s/cm^3. +The fractions that goes into ionizations, excitations and heat are assumed to be those of Chen & Kamionkowski 2004. +In the next version I'll make them potentialy changeable. +******************************************************************************************************************/ + +double rec_HMLA_2photon_dxHIIdlna(HYREC_DATA *data, double xe, double xHII, double nH, double H, double TM, double TR, + unsigned iz, double z) { + + REC_COSMOPARAMS *cosmo = data->cosmo; + HYREC_ATOMIC *atomic = data->atomic; + int *error = &data->error; + double **Dfminus_hist = data->rad->Dfminus_hist; + double **Dfminus_Ly_hist = data->rad->Dfminus_Ly_hist; + double **Dfnu_hist = data->rad->Dfnu_hist; + double zstart = data->rad->z0; + double fsR = cosmo->fsR, meR = cosmo->meR; + + double xr[2], xv[NVIRT], Dfplus[NVIRT], Dfplus_Ly[2]; /* Assume incoming radiation blueward of Ly-gamma is Blackbody */ + double dxedlna, one_minus_Pib, one_minus_exptau, Dfeq, s, x1s, Dxe2; + unsigned b, i; + + double Trr[2][2]; + double *Trv[2]; + double *Tvr[2]; + double *Tvv[3]; + double sr[2]; + double sv[NVIRT]; + double Dtau[NVIRT]; + double Alpha[2], DAlpha[2], Beta[2]; + double ratio; + char sub_message[128]; + if (*error == 1) return 0.; + + ratio = TM/TR; + rescale_T(&TR, fsR, meR); + TM = ratio * TR; /* This way ensure that TM<=TR is preserved */ + + for (i = 0; i < 2; i++) Trv[i] = create_1D_array(NVIRT, error, data->error_message); + for (i = 0; i < 2; i++) Tvr[i] = create_1D_array(NVIRT, error, data->error_message); + for (i = 0; i < 3; i++) Tvv[i] = create_1D_array(NVIRT, error, data->error_message); + + /* Redshift photon occupation number from previous times and higher energy bins */ + fplus_from_fminus(Dfplus, Dfplus_Ly, Dfminus_hist, Dfminus_Ly_hist, TR, zstart, iz, z, atomic->Eb_tab); + + /* Compute real-real, real-virtual and virtual-virtual transition rates */ + populateTS_2photon(Trr, Trv, Tvr, Tvv, sr, sv, Dtau, xe, xHII, TM, TR, nH, H, atomic, + Dfplus, Dfplus_Ly, Alpha, DAlpha, Beta, fsR, meR, cosmo->inj_params->exclya, error, data->error_message); + if (*error == 1) { + sprintf(sub_message, " called from rec_HMLA_2photon_dxHIIdlna\n"); + strcat(data->error_message, sub_message); + return 0.; + } + + /* Solve for the population of the real and virtual states + (in fact, for the difference xi - xi[eq with 1s]) */ + solve_real_virt(xr, xv, Trr, Trv, Tvr, Tvv, sr, sv, error, data->error_message); + + /* Obtain xe_dot */ + x1s = 1.-xHII; + s = SAHA_FACT(fsR, meR) *TR*sqrt(TR) *exp(-EI/TR)/nH; + Dxe2 = xe*xHII - s*x1s; + + dxedlna = -(nH *(s*x1s*DAlpha[0] + Alpha[0]*Dxe2) - xr[0]*Beta[0] + +nH *(s*x1s*DAlpha[1] + Alpha[1]*Dxe2) - xr[1]*Beta[1])/H + + cosmo->inj_params->ion/H; /* First term automatically includes the additional excitations + since x2s, x2p are computed accounting for them */ + + /* Update fminuses */ + + for (b = 0; b < NVIRT; b++) { + if (Dtau[b] > 1e-30) { + one_minus_Pib = Dtau[b] > 1e-6 ? 1.- (1.-exp(-Dtau[b]))/Dtau[b] : Dtau[b]/2. - square(Dtau[b])/6.; + Dfeq = -xr[0]*Tvr[0][b] - xr[1]*Tvr[1][b]; + Dfeq -= (b == 0 ? xv[1]*Tvv[2][0]: + b == NVIRT-1 ? xv[NVIRT-2]*Tvv[1][NVIRT-1]: + xv[b+1]*Tvv[2][b] + xv[b-1]*Tvv[1][b]); + Dfeq /= x1s*one_minus_Pib*Tvv[0][b]; + one_minus_exptau = Dtau[b] > 1e-6 ? 1.-exp(-Dtau[b]) : Dtau[b] - square(Dtau[b])/2.; + + Dfminus_hist[b][iz] = Dfplus[b] + (Dfeq - Dfplus[b])*one_minus_exptau; + } + else Dfminus_hist[b][iz] = Dfplus[b]; + } + + Dfminus_Ly_hist[0][iz] = xr[1]/3./x1s; + Dfminus_Ly_hist[1][iz] = xr[0]/x1s*exp(-E32/TR); + Dfminus_Ly_hist[2][iz] = xr[0]/x1s*exp(-E42/TR); + + /* Average radiation field in each bin */ + for (b = 0; b < NVIRT; b++) Dfnu_hist[b][iz] = xv[b]/x1s; + + for (i = 0; i < 2; i++) free(Trv[i]); + for (i = 0; i < 2; i++) free(Tvr[i]); + for (i = 0; i < 3; i++) free(Tvv[i]); + + return dxedlna; + +} + +/************************************************************************************** +Allocate and free memory for the structure RADIATION +***************************************************************************************/ + +void allocate_radiation(RADIATION *rad, long int Nz, int *error, char error_message[SIZE_ErrorM]) { + rad->Dfminus_hist = create_2D_array(NVIRT, Nz, error, error_message); + rad->Dfnu_hist = create_2D_array(NVIRT, Nz, error, error_message); + rad->Dfminus_Ly_hist = create_2D_array(3, Nz, error, error_message); +} + +void free_radiation(RADIATION *rad) { + free_2D_array(rad->Dfminus_hist, NVIRT); + free_2D_array(rad->Dfnu_hist, NVIRT); + free_2D_array(rad->Dfminus_Ly_hist, 3); +} + +/***************************************************************************************** +Single function that handles all cases depending on the switch. +December 2014: added dependence on additional energy injection. +******************************************************************************************/ + +double rec_dxHIIdlna(HYREC_DATA *data, int model, double xe, double xHII, double nH, double H, double TM, double TR, + unsigned iz, double z){ + + REC_COSMOPARAMS * cosmo = data->cosmo; + FIT_FUNC *fit = data->fit; + int *error = &data->error; + double Pion, RLya, four_betaB, result; + char sub_message[128]; + + if (*error == 1) return 0.; + if (model == PEEBLES) result = rec_TLA_dxHIIdlna(cosmo, xe, xHII, nH, H, TM, TR, 1.00); + else if (model == RECFAST) result = rec_TLA_dxHIIdlna(cosmo, xe, xHII, nH, H, TM, TR, 1.14); + else if (model == EMLA2s2p) result = rec_HMLA_dxHIIdlna(data, xe, xHII, nH, H, TM, TR); + else if (model == FULL || model == SWIFT) { + + /* When the full two-photon rate is required for z < 900, makes a simple estimate of the probability of + photoionization from n = 2. If less than PION_MAX, just use the effective 4-level atom.*/ + Pion = 1.; + if (z < 900.) { + RLya = LYA_FACT(1.,1.) *H/nH/(1.-xHII); + four_betaB = SAHA_FACT(1.,1.) *TR*sqrt(TR) *exp(-0.25*EI/TR) *alphaB_PPB(TR, 1.,1.); + Pion = four_betaB/(3.*RLya + L2s1s + four_betaB); + } + if (Pion < PION_MAX) result = rec_HMLA_dxHIIdlna(data, xe, xHII, nH, H, TM, TR); + else { + if (model == FULL) result = rec_HMLA_2photon_dxHIIdlna(data, xe, xHII, nH, H, TM, TR, iz, z); + else if (model == SWIFT) { + if (TR/kBoltz/cosmo->fsR/cosmo->fsR/cosmo->meR < fit->swift_func[0][0]) result = rec_HMLA_dxHIIdlna(data, xe, xHII, nH, H, TM, TR); + else result = rec_swift_hyrec_dxHIIdlna(data, xe, xHII, nH, H, TM, TR, z); + } + } + } + + else { + sprintf(sub_message, "Error in rec_dxedlna: model = %i is undefined.\n", model); + strcat(data->error_message, sub_message); + *error = 1; + return 0.; + } + + if (*error == 1) { + sprintf(sub_message, " called from rec_dxHIIdlna\n"); + strcat(data->error_message, sub_message); + return 0.; + } + return result; +} + diff --git a/external/HyRec2020/hydrogen.h b/external/HyRec2020/hydrogen.h new file mode 100644 index 00000000..088b34a6 --- /dev/null +++ b/external/HyRec2020/hydrogen.h @@ -0,0 +1,232 @@ +/*******************************************************************************************************/ +/* HYREC-2: Hydrogen and Helium Recombination Code */ +/* Written by Yacine Ali-Haimoud and Chris Hirata (2010-17) */ +/* with contributions from Nanoom Lee (2020) */ +/* */ +/* hydrogen.h: all functions related to Hydrogen recombination */ +/* */ +/* Units used: cgs + eV (all temperatures in eV) */ +/* */ +/* Revision history: */ +/* - January 2020 : - Added new mode, SWIFT */ +/* - Two timestep parameters for FULL mode and other modes. */ +/* - December 2014: - Accounts for additional energy injection */ +/* - May 2012: - Using the photon distortion instead of absolute value of radiation field */ +/* - Accounting for explicit dependence on alpha and m_e */ +/* - Some definitions moved to header file history.h */ +/* - January 2011: updated value of 2s--1s decay rate, */ +/* changed temperature range for effective rates */ +/* - Written November 2010. */ +/********************************************************************************************************/ + +/* !!!!! Do NOT change any numbers below (except DLNA). They are not accuracy parameters !!!!! */ +/* !!!!! If needed, only DLNA_HYREC or DLNA_SWIFT can be set to be a lower value for better accuracy !!!!! */ + +#ifndef __HYDROGEN__ +#define __HYDROGEN__ + +#include "energy_injection.h" + +/* Definition of different recombination models */ + +#define PEEBLES 0 /* Peebles's effective three-level atom */ +#define RECFAST 1 /* Effective three-level atom for hydrogen with fudge factor F = 1.14 */ +#define EMLA2s2p 2 /* Correct EMLA model, with standard decay rates from 2s and 2p only (accounts for nmax = infinity, l-resolved) */ +#define FULL 3 /* All radiative transfer effects included. Additional switches in header file hydrogen.h */ +#define SWIFT 4 /* Fast calculation with fitting function which is calculated based on FULL mode */ + + +/* When the probability of being ionized from n=2 becomes lower than PION_MAX, + switch off radiative transfer calculation as it becomes irrelevant */ +#define PION_MAX 1e-2 + + +/****** CONSTANTS IN CGS + EV UNIT SYSTEM *******/ + +#define EI 13.598286071938324 /* Hydrogen ionization energy in eV, reduced mass, no relativistic corrections */ + +/* Energy differences between excited levels of hydrogen -- used often */ +#define E21 10.198714553953742 +#define E31 12.087365397278509 +#define E41 12.748393192442178 +#define E32 1.8886508433247664 +#define E42 2.5496786384884356 + +#define hPc 1.239841874331e-04 /* hc in eV cm */ +#define mH 0.93878299831e9 /* Hydrogen atom mass in eV/c^2 */ +#define kBoltz 8.617343e-5 /* Boltzmann constant in eV/K */ +#define L2s1s 8.2206 /* 2s -> 1s two-photon decay rate in s^{-1} (Labzowsky et al 2005) */ + + +/************* EFFECTIVE MULTI LEVEL ATOM *******************/ + +/*** Effective rate tables and associated parameters ***/ + +#define ALPHA_FILE "Alpha_inf.dat" /* Effective recombination coefficients to 2s and 2p */ +#define RR_FILE "R_inf.dat" /* Effective transfer rate R_{2p,2s} */ +#define TR_MIN 0.004 /* Minimum Tr in eV */ +#define TR_MAX 0.4 /* Maximum Tr in eV */ +#define NTR 100 /* Number of Tr values */ +#define T_RATIO_MIN 0.1 /* T_RATIO is min(Tm/Tr, Tr/Tm) */ +#define T_RATIO_MAX 1.0 +#define NTM 40 + +/************* CORRECTION FUNCTION AND ITS FIRST DERIVATIVE FOR SWIFT MODE *****/ +#define FIT_FILE "fit_swift.dat" /* Correction function and first derivative for SWIFT mode */ +#define DKK_SIZE 265 + +/*** Tables and parameters for radiative transfer calculation ***/ +#define TWOG_FILE "two_photon_tables.dat" + +#define NSUBLYA 140 +#define NSUBLYB 271 +#define NVIRT 311 +#define NDIFF 80 + +#define DLNA_HYREC 8.49e-5 /* Timestep for FULL mode. Maximum compatible with these tables is 8.49e-5 */ +//#define DLNA_HYREC 2.e-6 /* Timestep used in FULL mode for SWIFT correction function calculation*/ +#define DLNA_SWIFT 4.e-3 /* Timestep for any other mode.*/ + +#define SIZE_ErrorM 2048 +#define SIZE_InputFile 512 + +/* Higher-resolution tables */ +/* +#define TWOG_FILE_CLASS "two_photon_tables_hires.dat" +#define NSUBLYA 408 +#define NSUBLYB 1323 +#define NVIRT 1493 +#define NDIFF 300 +#define DLNA 1.e-7 +*/ + +/**** Structure containing all atomic data for hydrogen ****/ + +typedef struct { + /* Tables of effective rates */ + double logTR_tab[NTR]; + double T_RATIO_tab[NTM]; + double **logAlpha_tab[4]; + double logR2p2s_tab[NTR]; + double DlogTR, DT_RATIO; + + /* Tables of 2-photon rates */ + double Eb_tab[NVIRT]; /* Energies of the virtual levels in eV */ + double A1s_tab[NVIRT]; /* 3*A2p1s*phi(E)*DE */ + double A2s_tab[NVIRT]; /* dLambda_2s/dE * DeltaE if E < Elya dK2s/dE * Delta E if E > Elya */ + double A3s3d_tab[NVIRT]; /* (dLambda_3s/dE + 5*dLambda_3d/dE) * Delta E for E < ELyb, Raman scattering rate for E > ELyb */ + double A4s4d_tab[NVIRT]; /* (dLambda_4s/dE + 5*dLambda_4d/dE) * Delta E */ + +} HYREC_ATOMIC; + +typedef struct { + double *swift_func[5]; +} FIT_FUNC; + + +/**** Structure containing all radiative transfer tables ****/ + +typedef struct { + + double z0; // first redshift at which radiation fields are stored + long iz_rad_0; + double **Dfminus_hist; + double **Dfnu_hist; + double **Dfminus_Ly_hist; + +} RADIATION; + + +/* Structure for HYREC-2 internal parameters */ + +typedef struct { + double h; /* Hubble constant */ + double T0; /* CMB temperature today in K*/ + double obh2, ocbh2, odeh2, okh2, orh2, onuh2; /* density parameters */ + double w0, wa; /* Dark energy equation of state parameters */ + double Neff; /* total effective number of neutrinos (massive + massless) */ + double Nur; /* number of massless neutrinos */ + double Nmnu; /* number of massive neutrinos */ + double mnu[3]; /* neutrino masses */ + double fHe; /* Helium fraction by number */ + double nH0; /* density of hydrogen today in cm^{-3} [Changed from m^{-3} in February 2015] */ + double YHe; /* Helium fraction */ + double fsR, meR; /* fine-structure constant alpha/alpha(today) + and me/me(today) (Added April 2012)*/ + double dlna, nz; + + INJ_PARAMS *inj_params; /* Structure containing all Energy-injection parameters */ + +} REC_COSMOPARAMS; + +/* Structure for HYREC-2 data */ + +typedef struct{ + HYREC_ATOMIC *atomic; + REC_COSMOPARAMS *cosmo; + double zmax; + double zmin; + long int Nz; + double *xe_output; + double *Tm_output; + int error; + int quasi_eq; + int loop_after_quasi; + int Tm_evolve_implicit; + char *error_message; + char *path_to_hyrec; + RADIATION *rad; + FIT_FUNC *fit; +} HYREC_DATA; + +/*********** EFFECTIVE 3-LEVEL A LA PEEBLES ***************/ +double SAHA_FACT(double fsR, double meR); +double LYA_FACT(double fsR, double meR); +double L2s_rescaled(double fsR, double meR); +void rescale_T(double *T, double fsR, double meR); + +double alphaB_PPB(double TM, double fsR, double meR); +double rec_TLA_dxHIIdlna(REC_COSMOPARAMS *cosmo, double xe, double xHII, double nH, double H, double TM, double TR, double Fudge); + + + +void allocate_radiation(RADIATION *rad, long int Nz, int *error, char error_message[SIZE_ErrorM]); +void free_radiation(RADIATION *rad); + + +void allocate_and_read_atomic(HYREC_ATOMIC *atomic, int *error, char *path_to_hyrec, char error_message[SIZE_ErrorM]); +void free_atomic(HYREC_ATOMIC *atomic); +void allocate_and_read_fit(FIT_FUNC *fit, int *error, char *path_to_hyrec, char error_message[SIZE_ErrorM]); +void free_fit(FIT_FUNC *fit); +void interpolate_rates(double Alpha[2], double DAlpha[2], double Beta[2], double *R2p2s, double TR, double TM_TR, + HYREC_ATOMIC *atomic, double fsR, double meR, int *error, char error_message[SIZE_ErrorM]); +double rec_swift_hyrec_dxHIIdlna(HYREC_DATA *data, double xe, double xHII, double nH, double Hubble, double TM, double TR, double z); +double rec_HMLA_dxHIIdlna(HYREC_DATA *data, double xe, double xHII, double nH, double H, double TM, double TR); +void populate_Diffusion(double *Aup, double *Adn, double *A2p_up, double *A2p_dn, + double TM, double Eb_tab[NVIRT], double A1s_tab[NVIRT]); +void populateTS_2photon(double Trr[2][2], double *Trv[2], double *Tvr[2], double *Tvv[3], + double sr[2], double sv[NVIRT], double Dtau[NVIRT], + double xe, double xHII, double TM, double TR, double nH, double H, HYREC_ATOMIC *atomic, + double Dfplus[NVIRT], double Dfplus_Ly[], + double Alpha[2], double DAlpha[2], double Beta[2], + double fsR, double meR, double exclya, int *error, char error_message[SIZE_ErrorM]); +void solveTXeqB(double *diag, double *updiag, double *dndiag, double *X, double *B, unsigned N, int *error, char error_message[SIZE_ErrorM]); +void solve_real_virt(double xr[2], double xv[NVIRT], double Trr[2][2], double *Trv[2], double *Tvr[2], + double *Tvv[3], double sr[2], double sv[NVIRT], int *error, char error_message[SIZE_ErrorM]); +double interp_Dfnu(double x0, double dx, double *ytab, unsigned int Nx, double x); +void fplus_from_fminus(double fplus[NVIRT], double fplus_Ly[], double **Dfminus_hist, double **Dfminus_Ly_hist, + double TR, double zstart, unsigned iz, double z, double Eb_tab[NVIRT]); +double rec_HMLA_2photon_dxedlna(HYREC_DATA *data, double xe, double nH, double H, double TM, double TR, unsigned iz, double z); +double rec_dxHIIdlna(HYREC_DATA *data, int model, double xe, double xHII, double nH, double H, double TM, double TR, + unsigned iz, double z); + + +/************ SWITCHES FOR RADIATIVE TRANSFER. ALL SWITCHES SET TO 1 ARE THE DEFAULT MODEL ************/ + +#define EFFECT_A 1 /* 2s-->1s stimulated two-photon decays and non-thermal absorptions */ +#define EFFECT_B 1 /* Sub-Lyman alpha two-photon transitions 3s/3d<--> 1s and 4s/4d<-->1s */ +#define EFFECT_C 1 /* Super-Lyman alpha two-photon transitions 3s/3d<--> 1s and 4s/4d<-->1s */ +#define EFFECT_D 1 /* Raman scattering from 2s and 3s/3d */ +#define DIFFUSION 1 /* Lyman alpha frequency diffusion */ + +#endif diff --git a/external/HyRec2020/hyrec.c b/external/HyRec2020/hyrec.c new file mode 100644 index 00000000..6344d46d --- /dev/null +++ b/external/HyRec2020/hyrec.c @@ -0,0 +1,36 @@ +/*************************************************************************/ +/* HYREC-2 MAIN FUNCTION */ +/*************************************************************************/ +#include +#include +#include +#include "history.h" + +int main(void) { + remove("output_xe.dat"); + + HYREC_DATA rec_data; + + double zmax = 8000.; + double zmin = 0.; + + rec_data.path_to_hyrec = ""; + hyrec_allocate(&rec_data, zmax, zmin); + rec_get_cosmoparam(stdin, stderr, rec_data.cosmo); + hyrec_compute(&rec_data, MODEL); + if (rec_data.error == 1) fprintf(stderr,"%s\n",rec_data.error_message); + else { + double z = zmax; + char file[200]; + FILE *fout; + fout = fopen("output_xe.dat", "a"); + while (z > zmin) { + fprintf(fout, "%f %1.10E %1.10E\n",z,hyrec_xe(z, &rec_data),hyrec_Tm(z, &rec_data)); + z -= 1.; + } + fclose(fout); + } + hyrec_free(&rec_data); + return 0; + +} diff --git a/external/HyRec2020/hyrectools.c b/external/HyRec2020/hyrectools.c new file mode 100644 index 00000000..5e8ac170 --- /dev/null +++ b/external/HyRec2020/hyrectools.c @@ -0,0 +1,269 @@ +/******************************* HYRECTOOLS.C ******************************** +Multidimensional array creation and freeing functions. +Also, function to make linear arrays and interpolation routines. +January 2015 - added cubic interpolation for non-evenly spaced table) +*****************************************************************************/ + +#include +#include +#include +#include + +#include "hyrectools.h" + + +/****************************************************************************************************** +Square and cube, often used +******************************************************************************************************/ + +double square(double x) { + return x*x; +} + +double cube(double x) { + return x*x*x; +} + +/************************************************************************** +Creates a [n1] array. +***************************************************************************/ + +double *create_1D_array(unsigned n1, int *error, char error_message[SIZE_ErrorM]){ + + double *matrix = (double *) calloc(n1, sizeof(double)); + char sub_message[128]; + if (*error == 1) return matrix; + + if (matrix == NULL) { + sprintf(sub_message, "unable to allocate memory in create_1D_array \n"); + strcat(error_message, sub_message); + *error = 1; + } + return matrix; +} + +/************************************************************************** +Creates a [n1][n2] array. +***************************************************************************/ + +double **create_2D_array(unsigned n1, unsigned n2, int *error, char error_message[SIZE_ErrorM]){ + + unsigned i; + double **matrix = (double **) calloc(n1, sizeof(double *)); + char sub_message[128]; + if (*error == 1) return matrix; + + if (matrix == NULL){ + sprintf(sub_message, "unable to allocate memory in create_2D_array \n"); + strcat(error_message, sub_message); + *error = 1; + } + for (i = 0; i < n1; i++) matrix[i] = create_1D_array(n2, error, error_message); + + return matrix; +} + +/******************************************************************************* +Frees the memory of a [n1][] array. +********************************************************************************/ + +void free_2D_array(double **matrix, unsigned n1){ + + unsigned i; + for (i = 0; i < n1; i++) free(matrix[i]); + + free(matrix); +} + +/********************************************************************************* +Creates a [n1][n2][n3] matrix. +**********************************************************************************/ + +double ***create_3D_array(unsigned n1, unsigned n2, unsigned n3, int *error, char error_message[SIZE_ErrorM]){ + + unsigned i; + double ***matrix = (double ***) calloc(n1, sizeof(double **)); + char sub_message[128]; + if (*error == 1) return matrix; + + if (matrix == NULL) { + sprintf(sub_message, "unable to allocate memory in create_3D_array \n"); + strcat(error_message, sub_message); + *error = 1; + } + for (i = 0; i < n1; i++) matrix[i] = create_2D_array(n2, n3, error, error_message); + + return matrix; +} + +/*********************************************************************************** +Frees memory of a [n1][n2][] matrix +***********************************************************************************/ + +void free_3D_array(double ***matrix, unsigned n1, unsigned n2) { + unsigned i; + for (i = 0; i < n1; i++) free_2D_array(matrix[i], n2); + + free(matrix); +} + +/******************************************************************************************** +Making an evenly spaced array. +Input: xmin, xmax, Nx, xtab. +xtab is changed, s.t. xtab[0] = xmin, xtab[Nx-1] = xmax, evenly spaced. +ATTENTION: there will be Nx points, and Nx-1 intervals. +**********************************************************************************************/ + +void maketab(double xmin, double xmax, unsigned Nx, double *xtab){ + unsigned i; + double h = (xmax - xmin)/(Nx - 1.0); + + for (i = 0; i < Nx; i++) xtab[i] = xmin + i * h; +} + +/************************************************************************************ + Interpolation routine for 1-D table. Uses cubic interpolation assuming + uniformly spaced x-values, x0 ... x0+(Nx-1)*dx. +The table is assumed to have dimension Nx >= 4 +*************************************************************************************/ + +double rec_interp1d(double x0, double dx, double *ytab, unsigned int Nx, double x, int *error, char error_message[SIZE_ErrorM]) { + + long ix; + double frac; + char sub_message[128]; + if (*error == 1) return 0.; + + /* Check if in range */ + if (dx > 0 && (xx0+dx*(Nx-1))) { + sprintf(sub_message,"x-value out of range in interpolation in rec_interp1d.\n"); + strcat(error_message, sub_message); + *error = 1; + return 0.; + } + if (dx < 0 && (x>x0 || xNx-3) ix=Nx-3; + frac = (x-x0)/dx-ix; + ytab += ix-1; + + /* Return value */ + return( + -ytab[0]*frac*(1.-frac)*(2.-frac)/6. + +ytab[1]*(1.+frac)*(1.-frac)*(2.-frac)/2. + +ytab[2]*(1.+frac)*frac*(2.-frac)/2. + -ytab[3]*(1.+frac)*frac*(1.-frac)/6. + ); +} + +/************************************************************************************ + Interpolation routine for 2-D table. Uses bicubic interpolation assuming + uniformly spaced x1 and x2-values. +*************************************************************************************/ + +double rec_interp2d(double x10, double dx1, double x20, double dx2, double **ytab, + unsigned int Nx1, unsigned int Nx2, double x1, double x2, int *error, char error_message[SIZE_ErrorM]) { + + int j; + long ix1; + double frac1; + double temp[4]; + char sub_message[128]; + if (*error == 1) return 0.; + + /* Check if in range in x1 */ + if (x1x10+dx1*(Nx1-1)) { + sprintf(sub_message,"x-value out of range in interpolation in rec_interp2d.\n"); + strcat(error_message, sub_message); + *error = 1; + return 0.; + } + + /* Identify location to interpolate in x1 */ + ix1 = (long)floor((x1-x10)/dx1); + if (ix1<1) ix1=1; + if (ix1>Nx1-3) ix1=Nx1-3; + frac1 = (x1-x10)/dx1-ix1; + ytab += ix1-1; + + /* Get values interpolated over x2 at the 4 neighboring points in x1 */ + for(j=0;j<4;j++) temp[j] = rec_interp1d(x20,dx2,ytab[j],Nx2,x2, error, error_message); + + return( + -temp[0]*frac1*(1.-frac1)*(2.-frac1)/6. + +temp[1]*(1.+frac1)*(1.-frac1)*(2.-frac1)/2. + +temp[2]*(1.+frac1)*frac1*(2.-frac1)/2. + +temp[3]*(1.+frac1)*frac1*(frac1-1.)/6. + ); +} + +/******************************************************************************** +Cubic interpolation for non-regular grid +*******************************************************************************/ + + +double rec_interpol_G(double x, double *xtab, double *ytab, unsigned int Nx, int *error, char error_message[SIZE_ErrorM]) { + + char sub_message[128]; + if (*error == 1) return 0.; + + if (Nx < 4) { + sprintf(sub_message, "Table needs to be of dimension 4 at least in rec_interpol_G.\n"); + strcat(error_message, sub_message); + *error = 1; + return 0.; + } + if (xtab[0] > xtab[1]) { + sprintf(sub_message, "Array does not seem to be increasing in rec_interpol_G.\n"); + strcat(error_message, sub_message); + *error = 1; + return 0.; + } + if (x < xtab[0] || x >= xtab[Nx-1]) { + sprintf(sub_message, "x-value out of range in rec_interpol_G.\n"); + strcat(error_message, sub_message); + *error = 1; + return 0.; + } + + long int ix; + long int ilo = 0; + long int ihi = Nx-1; + long int imid; + + while (ihi - ilo > 1) { + imid = (ihi + ilo)/2; + if (x >= xtab[imid]) ilo = imid; + if (x < xtab[imid]) ihi = imid; + } + + ix = ilo; + + if (ix<1) ix = 1; + if (ix>Nx-3) ix = Nx-3; + xtab += ix-1; + ytab += ix-1; + + /* Return value */ + return( + ytab[0] *(x-xtab[1])*(x-xtab[2])*(x-xtab[3]) + /(xtab[0]-xtab[1])/(xtab[0]-xtab[2])/(xtab[0]-xtab[3]) + + ytab[1] *(x-xtab[0])*(x-xtab[2])*(x-xtab[3]) + /(xtab[1]-xtab[0])/(xtab[1]-xtab[2])/(xtab[1]-xtab[3]) + + ytab[2] *(x-xtab[0])*(x-xtab[1])*(x-xtab[3]) + /(xtab[2]-xtab[0])/(xtab[2]-xtab[1])/(xtab[2]-xtab[3]) + + ytab[3] *(x-xtab[0])*(x-xtab[1])*(x-xtab[2]) + /(xtab[3]-xtab[0])/(xtab[3]-xtab[1])/(xtab[3]-xtab[2]) + ); +} + + + diff --git a/external/HyRec2020/hyrectools.h b/external/HyRec2020/hyrectools.h new file mode 100644 index 00000000..6e17d9a0 --- /dev/null +++ b/external/HyRec2020/hyrectools.h @@ -0,0 +1,23 @@ +/******************************* HYRECTOOLS.H ******************************** +Multidimensional array creation and freeing functions. +Also, function to make linear arrays and interpolation routines. +*****************************************************************************/ + +#ifndef __HYRECTOOLS__ +#define __HYRECTOOLS__ + +#define SIZE_ErrorM 2048 +double square(double x); +double cube(double x); +double *create_1D_array(unsigned n1, int *error, char error_message[SIZE_ErrorM]); +double **create_2D_array(unsigned n1, unsigned n2, int *error, char error_message[SIZE_ErrorM]); +void free_2D_array(double **matrix, unsigned n1); +double ***create_3D_array(unsigned n1, unsigned n2, unsigned n3, int *error, char error_message[SIZE_ErrorM]); +void free_3D_array(double ***matrix, unsigned n1, unsigned n2); +void maketab(double xmin, double xmax, unsigned Nx, double *xtab); +double rec_interp1d(double x0, double dx, double *ytab, unsigned int Nx, double x, int *error, char error_message[SIZE_ErrorM]); +double rec_interp2d(double x10, double dx1, double x20, double dx2, double **ytab, + unsigned int Nx1, unsigned int Nx2, double x1, double x2, int *error, char error_message[SIZE_ErrorM]); +double rec_interpol_G(double x, double *xtab, double *ytab, unsigned int Nx, int *error, char error_message[SIZE_ErrorM]); + +#endif diff --git a/external/HyRec2020/input.dat b/external/HyRec2020/input.dat new file mode 100644 index 00000000..21ebfc78 --- /dev/null +++ b/external/HyRec2020/input.dat @@ -0,0 +1,66 @@ +6.735837e-01 +2.7255 +0.0494142797907188 +0.31242079216478097 +0. +-1 0 +1. +0.06 +0. +0. +0.245 +3.046 + +1. +1. +0. +0. +0. +0. +0. +0. +0. +0 +0. + +1. +0. + + +===================================================================== +Input parameter file for Hyrec (default values given as examples). +The parameters have to be entered in the order shown, and +correspond to the following inputs. +All parameters must be present +===================================================================== + +0.70 = h H0/(100 km/s/Mpc) +2.7255 = T0 CMB temperature today, in K +0.04 = Omega_b baryon density parameter +0.26 = Omega_cb matter (baryon + CDM) density parameter +0. = Omega_k curvature density parameter -- Omega_Lambda is deduced from these +-1, 0 = w0, wa dark energy equation of state parameters +1. = Nmnu number of massive neutrino +0.06 = mnu1 mass of the first neutrino -- Massive ones should come first +0. = mnu2 mass of the second neutrino +0. = mnu3 mass of the third neutirno +0.245 = Y_He Helium mass fraction +3.046 = Neff total effective number of neutrinos (massive + massless) + +1. = alpha(rec)/alpha(today) ratio of fine structure constant at recombination to today's value + If it's not 1, a smaller timestep might be needed. Decrease timestep in history.h if needed. +1. = me(rec)/me(today) ratio of electron mass at recombination to today's value + +0. = pann = f/m_DM dark matter annihilation parameter, in cm^3/s/GeV +0. = pann_halo +0. = ann_z +0. = ann_zmax +0. = ann_zmin +0. = ann_var +0. = ann_z_halo +0 = on_the_spot 1 for on-the-spot approximation. Should be an integer (without .) +0. = decay DM decay, in 1/s + +1. = Mpbh primordial black hole mass in solar masses +0. = fpbh fraction of dark matter made of PBHs + diff --git a/external/HyRec2020/output_xe.dat b/external/HyRec2020/output_xe.dat new file mode 100644 index 00000000..e5a5bd1a --- /dev/null +++ b/external/HyRec2020/output_xe.dat @@ -0,0 +1,8000 @@ +8000.000000 1.1634102785E+00 2.1806725500E+04 +7999.000000 1.1634102631E+00 2.1804000000E+04 +7998.000000 1.1634102476E+00 2.1801274500E+04 +7997.000000 1.1634102321E+00 2.1798549000E+04 +7996.000000 1.1634102165E+00 2.1795823500E+04 +7995.000000 1.1634102009E+00 2.1793098000E+04 +7994.000000 1.1634101852E+00 2.1790372500E+04 +7993.000000 1.1634101694E+00 2.1787647000E+04 +7992.000000 1.1634101536E+00 2.1784921500E+04 +7991.000000 1.1634101377E+00 2.1782196000E+04 +7990.000000 1.1634101218E+00 2.1779470500E+04 +7989.000000 1.1634101058E+00 2.1776745000E+04 +7988.000000 1.1634100898E+00 2.1774019500E+04 +7987.000000 1.1634100737E+00 2.1771294000E+04 +7986.000000 1.1634100575E+00 2.1768568500E+04 +7985.000000 1.1634100413E+00 2.1765843000E+04 +7984.000000 1.1634100250E+00 2.1763117500E+04 +7983.000000 1.1634100086E+00 2.1760392000E+04 +7982.000000 1.1634099922E+00 2.1757666500E+04 +7981.000000 1.1634099758E+00 2.1754941000E+04 +7980.000000 1.1634099592E+00 2.1752215500E+04 +7979.000000 1.1634099427E+00 2.1749490000E+04 +7978.000000 1.1634099260E+00 2.1746764500E+04 +7977.000000 1.1634099093E+00 2.1744039000E+04 +7976.000000 1.1634098925E+00 2.1741313500E+04 +7975.000000 1.1634098757E+00 2.1738588000E+04 +7974.000000 1.1634098588E+00 2.1735862500E+04 +7973.000000 1.1634098418E+00 2.1733137000E+04 +7972.000000 1.1634098248E+00 2.1730411500E+04 +7971.000000 1.1634098077E+00 2.1727686000E+04 +7970.000000 1.1634097906E+00 2.1724960500E+04 +7969.000000 1.1634097733E+00 2.1722235000E+04 +7968.000000 1.1634097561E+00 2.1719509500E+04 +7967.000000 1.1634097387E+00 2.1716784000E+04 +7966.000000 1.1634097213E+00 2.1714058500E+04 +7965.000000 1.1634097038E+00 2.1711333000E+04 +7964.000000 1.1634096863E+00 2.1708607500E+04 +7963.000000 1.1634096687E+00 2.1705882000E+04 +7962.000000 1.1634096510E+00 2.1703156500E+04 +7961.000000 1.1634096333E+00 2.1700431000E+04 +7960.000000 1.1634096155E+00 2.1697705500E+04 +7959.000000 1.1634095976E+00 2.1694980000E+04 +7958.000000 1.1634095797E+00 2.1692254500E+04 +7957.000000 1.1634095617E+00 2.1689529000E+04 +7956.000000 1.1634095436E+00 2.1686803500E+04 +7955.000000 1.1634095255E+00 2.1684078000E+04 +7954.000000 1.1634095073E+00 2.1681352500E+04 +7953.000000 1.1634094890E+00 2.1678627000E+04 +7952.000000 1.1634094707E+00 2.1675901500E+04 +7951.000000 1.1634094522E+00 2.1673176000E+04 +7950.000000 1.1634094338E+00 2.1670450500E+04 +7949.000000 1.1634094152E+00 2.1667725000E+04 +7948.000000 1.1634093966E+00 2.1664999500E+04 +7947.000000 1.1634093779E+00 2.1662274000E+04 +7946.000000 1.1634093591E+00 2.1659548500E+04 +7945.000000 1.1634093403E+00 2.1656823000E+04 +7944.000000 1.1634093214E+00 2.1654097500E+04 +7943.000000 1.1634093024E+00 2.1651372000E+04 +7942.000000 1.1634092834E+00 2.1648646500E+04 +7941.000000 1.1634092643E+00 2.1645921000E+04 +7940.000000 1.1634092451E+00 2.1643195500E+04 +7939.000000 1.1634092258E+00 2.1640470000E+04 +7938.000000 1.1634092065E+00 2.1637744500E+04 +7937.000000 1.1634091871E+00 2.1635019000E+04 +7936.000000 1.1634091676E+00 2.1632293500E+04 +7935.000000 1.1634091481E+00 2.1629568000E+04 +7934.000000 1.1634091285E+00 2.1626842500E+04 +7933.000000 1.1634091088E+00 2.1624117000E+04 +7932.000000 1.1634090890E+00 2.1621391500E+04 +7931.000000 1.1634090692E+00 2.1618666000E+04 +7930.000000 1.1634090493E+00 2.1615940500E+04 +7929.000000 1.1634090293E+00 2.1613215000E+04 +7928.000000 1.1634090092E+00 2.1610489500E+04 +7927.000000 1.1634089891E+00 2.1607764000E+04 +7926.000000 1.1634089689E+00 2.1605038500E+04 +7925.000000 1.1634089486E+00 2.1602313000E+04 +7924.000000 1.1634089282E+00 2.1599587500E+04 +7923.000000 1.1634089077E+00 2.1596862000E+04 +7922.000000 1.1634088872E+00 2.1594136500E+04 +7921.000000 1.1634088666E+00 2.1591411000E+04 +7920.000000 1.1634088459E+00 2.1588685500E+04 +7919.000000 1.1634088252E+00 2.1585960000E+04 +7918.000000 1.1634088044E+00 2.1583234500E+04 +7917.000000 1.1634087834E+00 2.1580509000E+04 +7916.000000 1.1634087624E+00 2.1577783500E+04 +7915.000000 1.1634087414E+00 2.1575058000E+04 +7914.000000 1.1634087202E+00 2.1572332500E+04 +7913.000000 1.1634086990E+00 2.1569607000E+04 +7912.000000 1.1634086777E+00 2.1566881500E+04 +7911.000000 1.1634086563E+00 2.1564156000E+04 +7910.000000 1.1634086348E+00 2.1561430500E+04 +7909.000000 1.1634086132E+00 2.1558705000E+04 +7908.000000 1.1634085916E+00 2.1555979500E+04 +7907.000000 1.1634085699E+00 2.1553254000E+04 +7906.000000 1.1634085481E+00 2.1550528500E+04 +7905.000000 1.1634085262E+00 2.1547803000E+04 +7904.000000 1.1634085042E+00 2.1545077500E+04 +7903.000000 1.1634084822E+00 2.1542352000E+04 +7902.000000 1.1634084601E+00 2.1539626500E+04 +7901.000000 1.1634084379E+00 2.1536901000E+04 +7900.000000 1.1634084156E+00 2.1534175500E+04 +7899.000000 1.1634083932E+00 2.1531450000E+04 +7898.000000 1.1634083707E+00 2.1528724500E+04 +7897.000000 1.1634083482E+00 2.1525999000E+04 +7896.000000 1.1634083255E+00 2.1523273500E+04 +7895.000000 1.1634083028E+00 2.1520548000E+04 +7894.000000 1.1634082800E+00 2.1517822500E+04 +7893.000000 1.1634082571E+00 2.1515097000E+04 +7892.000000 1.1634082341E+00 2.1512371500E+04 +7891.000000 1.1634082110E+00 2.1509646000E+04 +7890.000000 1.1634081879E+00 2.1506920500E+04 +7889.000000 1.1634081646E+00 2.1504195000E+04 +7888.000000 1.1634081413E+00 2.1501469500E+04 +7887.000000 1.1634081179E+00 2.1498744000E+04 +7886.000000 1.1634080944E+00 2.1496018500E+04 +7885.000000 1.1634080708E+00 2.1493293000E+04 +7884.000000 1.1634080471E+00 2.1490567500E+04 +7883.000000 1.1634080233E+00 2.1487842000E+04 +7882.000000 1.1634079994E+00 2.1485116500E+04 +7881.000000 1.1634079754E+00 2.1482391000E+04 +7880.000000 1.1634079514E+00 2.1479665500E+04 +7879.000000 1.1634079272E+00 2.1476940000E+04 +7878.000000 1.1634079030E+00 2.1474214500E+04 +7877.000000 1.1634078787E+00 2.1471489000E+04 +7876.000000 1.1634078542E+00 2.1468763500E+04 +7875.000000 1.1634078297E+00 2.1466038000E+04 +7874.000000 1.1634078051E+00 2.1463312500E+04 +7873.000000 1.1634077804E+00 2.1460587000E+04 +7872.000000 1.1634077556E+00 2.1457861500E+04 +7871.000000 1.1634077307E+00 2.1455136000E+04 +7870.000000 1.1634077057E+00 2.1452410500E+04 +7869.000000 1.1634076807E+00 2.1449685000E+04 +7868.000000 1.1634076555E+00 2.1446959500E+04 +7867.000000 1.1634076302E+00 2.1444234000E+04 +7866.000000 1.1634076048E+00 2.1441508500E+04 +7865.000000 1.1634075794E+00 2.1438783000E+04 +7864.000000 1.1634075538E+00 2.1436057500E+04 +7863.000000 1.1634075281E+00 2.1433332000E+04 +7862.000000 1.1634075024E+00 2.1430606500E+04 +7861.000000 1.1634074765E+00 2.1427881000E+04 +7860.000000 1.1634074506E+00 2.1425155500E+04 +7859.000000 1.1634074245E+00 2.1422430000E+04 +7858.000000 1.1634073984E+00 2.1419704500E+04 +7857.000000 1.1634073721E+00 2.1416979000E+04 +7856.000000 1.1634073457E+00 2.1414253500E+04 +7855.000000 1.1634073193E+00 2.1411528000E+04 +7854.000000 1.1634072927E+00 2.1408802500E+04 +7853.000000 1.1634072660E+00 2.1406077000E+04 +7852.000000 1.1634072393E+00 2.1403351500E+04 +7851.000000 1.1634072124E+00 2.1400626000E+04 +7850.000000 1.1634071854E+00 2.1397900500E+04 +7849.000000 1.1634071584E+00 2.1395175000E+04 +7848.000000 1.1634071312E+00 2.1392449500E+04 +7847.000000 1.1634071039E+00 2.1389724000E+04 +7846.000000 1.1634070765E+00 2.1386998500E+04 +7845.000000 1.1634070490E+00 2.1384273000E+04 +7844.000000 1.1634070214E+00 2.1381547500E+04 +7843.000000 1.1634069937E+00 2.1378822000E+04 +7842.000000 1.1634069659E+00 2.1376096500E+04 +7841.000000 1.1634069380E+00 2.1373371000E+04 +7840.000000 1.1634069100E+00 2.1370645500E+04 +7839.000000 1.1634068818E+00 2.1367920000E+04 +7838.000000 1.1634068536E+00 2.1365194500E+04 +7837.000000 1.1634068252E+00 2.1362469000E+04 +7836.000000 1.1634067968E+00 2.1359743500E+04 +7835.000000 1.1634067682E+00 2.1357018000E+04 +7834.000000 1.1634067395E+00 2.1354292500E+04 +7833.000000 1.1634067108E+00 2.1351567000E+04 +7832.000000 1.1634066819E+00 2.1348841500E+04 +7831.000000 1.1634066529E+00 2.1346116000E+04 +7830.000000 1.1634066237E+00 2.1343390500E+04 +7829.000000 1.1634065945E+00 2.1340665000E+04 +7828.000000 1.1634065652E+00 2.1337939500E+04 +7827.000000 1.1634065357E+00 2.1335214000E+04 +7826.000000 1.1634065061E+00 2.1332488500E+04 +7825.000000 1.1634064764E+00 2.1329763000E+04 +7824.000000 1.1634064466E+00 2.1327037500E+04 +7823.000000 1.1634064167E+00 2.1324312000E+04 +7822.000000 1.1634063867E+00 2.1321586500E+04 +7821.000000 1.1634063565E+00 2.1318861000E+04 +7820.000000 1.1634063263E+00 2.1316135500E+04 +7819.000000 1.1634062959E+00 2.1313410000E+04 +7818.000000 1.1634062654E+00 2.1310684500E+04 +7817.000000 1.1634062347E+00 2.1307959000E+04 +7816.000000 1.1634062040E+00 2.1305233500E+04 +7815.000000 1.1634061731E+00 2.1302508000E+04 +7814.000000 1.1634061422E+00 2.1299782500E+04 +7813.000000 1.1634061111E+00 2.1297057000E+04 +7812.000000 1.1634060799E+00 2.1294331500E+04 +7811.000000 1.1634060485E+00 2.1291606000E+04 +7810.000000 1.1634060171E+00 2.1288880500E+04 +7809.000000 1.1634059855E+00 2.1286155000E+04 +7808.000000 1.1634059538E+00 2.1283429500E+04 +7807.000000 1.1634059220E+00 2.1280704000E+04 +7806.000000 1.1634058900E+00 2.1277978500E+04 +7805.000000 1.1634058579E+00 2.1275253000E+04 +7804.000000 1.1634058258E+00 2.1272527500E+04 +7803.000000 1.1634057934E+00 2.1269802000E+04 +7802.000000 1.1634057610E+00 2.1267076500E+04 +7801.000000 1.1634057284E+00 2.1264351000E+04 +7800.000000 1.1634056957E+00 2.1261625500E+04 +7799.000000 1.1634056629E+00 2.1258900000E+04 +7798.000000 1.1634056299E+00 2.1256174500E+04 +7797.000000 1.1634055969E+00 2.1253449000E+04 +7796.000000 1.1634055637E+00 2.1250723500E+04 +7795.000000 1.1634055303E+00 2.1247998000E+04 +7794.000000 1.1634054968E+00 2.1245272500E+04 +7793.000000 1.1634054632E+00 2.1242547000E+04 +7792.000000 1.1634054295E+00 2.1239821500E+04 +7791.000000 1.1634053956E+00 2.1237096000E+04 +7790.000000 1.1634053617E+00 2.1234370500E+04 +7789.000000 1.1634053275E+00 2.1231645000E+04 +7788.000000 1.1634052933E+00 2.1228919500E+04 +7787.000000 1.1634052589E+00 2.1226194000E+04 +7786.000000 1.1634052243E+00 2.1223468500E+04 +7785.000000 1.1634051897E+00 2.1220743000E+04 +7784.000000 1.1634051549E+00 2.1218017500E+04 +7783.000000 1.1634051199E+00 2.1215292000E+04 +7782.000000 1.1634050849E+00 2.1212566500E+04 +7781.000000 1.1634050497E+00 2.1209841000E+04 +7780.000000 1.1634050143E+00 2.1207115500E+04 +7779.000000 1.1634049788E+00 2.1204390000E+04 +7778.000000 1.1634049432E+00 2.1201664500E+04 +7777.000000 1.1634049075E+00 2.1198939000E+04 +7776.000000 1.1634048716E+00 2.1196213500E+04 +7775.000000 1.1634048355E+00 2.1193488000E+04 +7774.000000 1.1634047994E+00 2.1190762500E+04 +7773.000000 1.1634047630E+00 2.1188037000E+04 +7772.000000 1.1634047266E+00 2.1185311500E+04 +7771.000000 1.1634046900E+00 2.1182586000E+04 +7770.000000 1.1634046532E+00 2.1179860500E+04 +7769.000000 1.1634046163E+00 2.1177135000E+04 +7768.000000 1.1634045793E+00 2.1174409500E+04 +7767.000000 1.1634045421E+00 2.1171684000E+04 +7766.000000 1.1634045048E+00 2.1168958500E+04 +7765.000000 1.1634044673E+00 2.1166233000E+04 +7764.000000 1.1634044297E+00 2.1163507500E+04 +7763.000000 1.1634043919E+00 2.1160782000E+04 +7762.000000 1.1634043540E+00 2.1158056500E+04 +7761.000000 1.1634043159E+00 2.1155331000E+04 +7760.000000 1.1634042777E+00 2.1152605500E+04 +7759.000000 1.1634042394E+00 2.1149880000E+04 +7758.000000 1.1634042008E+00 2.1147154500E+04 +7757.000000 1.1634041622E+00 2.1144429000E+04 +7756.000000 1.1634041234E+00 2.1141703500E+04 +7755.000000 1.1634040844E+00 2.1138978000E+04 +7754.000000 1.1634040453E+00 2.1136252500E+04 +7753.000000 1.1634040060E+00 2.1133527000E+04 +7752.000000 1.1634039665E+00 2.1130801500E+04 +7751.000000 1.1634039269E+00 2.1128076000E+04 +7750.000000 1.1634038872E+00 2.1125350500E+04 +7749.000000 1.1634038473E+00 2.1122625000E+04 +7748.000000 1.1634038072E+00 2.1119899500E+04 +7747.000000 1.1634037670E+00 2.1117174000E+04 +7746.000000 1.1634037267E+00 2.1114448500E+04 +7745.000000 1.1634036861E+00 2.1111723000E+04 +7744.000000 1.1634036454E+00 2.1108997500E+04 +7743.000000 1.1634036046E+00 2.1106272000E+04 +7742.000000 1.1634035636E+00 2.1103546500E+04 +7741.000000 1.1634035224E+00 2.1100821000E+04 +7740.000000 1.1634034811E+00 2.1098095500E+04 +7739.000000 1.1634034396E+00 2.1095370000E+04 +7738.000000 1.1634033979E+00 2.1092644500E+04 +7737.000000 1.1634033561E+00 2.1089919000E+04 +7736.000000 1.1634033141E+00 2.1087193500E+04 +7735.000000 1.1634032720E+00 2.1084468000E+04 +7734.000000 1.1634032296E+00 2.1081742500E+04 +7733.000000 1.1634031871E+00 2.1079017000E+04 +7732.000000 1.1634031445E+00 2.1076291500E+04 +7731.000000 1.1634031016E+00 2.1073566000E+04 +7730.000000 1.1634030586E+00 2.1070840500E+04 +7729.000000 1.1634030155E+00 2.1068115000E+04 +7728.000000 1.1634029721E+00 2.1065389500E+04 +7727.000000 1.1634029286E+00 2.1062664000E+04 +7726.000000 1.1634028849E+00 2.1059938500E+04 +7725.000000 1.1634028411E+00 2.1057213000E+04 +7724.000000 1.1634027970E+00 2.1054487500E+04 +7723.000000 1.1634027528E+00 2.1051762000E+04 +7722.000000 1.1634027085E+00 2.1049036500E+04 +7721.000000 1.1634026639E+00 2.1046311000E+04 +7720.000000 1.1634026192E+00 2.1043585500E+04 +7719.000000 1.1634025742E+00 2.1040860000E+04 +7718.000000 1.1634025292E+00 2.1038134500E+04 +7717.000000 1.1634024839E+00 2.1035409000E+04 +7716.000000 1.1634024384E+00 2.1032683500E+04 +7715.000000 1.1634023928E+00 2.1029958000E+04 +7714.000000 1.1634023470E+00 2.1027232500E+04 +7713.000000 1.1634023010E+00 2.1024507000E+04 +7712.000000 1.1634022549E+00 2.1021781500E+04 +7711.000000 1.1634022085E+00 2.1019056000E+04 +7710.000000 1.1634021620E+00 2.1016330500E+04 +7709.000000 1.1634021153E+00 2.1013605000E+04 +7708.000000 1.1634020684E+00 2.1010879500E+04 +7707.000000 1.1634020213E+00 2.1008154000E+04 +7706.000000 1.1634019740E+00 2.1005428500E+04 +7705.000000 1.1634019265E+00 2.1002703000E+04 +7704.000000 1.1634018789E+00 2.0999977500E+04 +7703.000000 1.1634018310E+00 2.0997252000E+04 +7702.000000 1.1634017830E+00 2.0994526500E+04 +7701.000000 1.1634017347E+00 2.0991801000E+04 +7700.000000 1.1634016863E+00 2.0989075500E+04 +7699.000000 1.1634016377E+00 2.0986350000E+04 +7698.000000 1.1634015889E+00 2.0983624500E+04 +7697.000000 1.1634015399E+00 2.0980899000E+04 +7696.000000 1.1634014907E+00 2.0978173500E+04 +7695.000000 1.1634014413E+00 2.0975448000E+04 +7694.000000 1.1634013917E+00 2.0972722500E+04 +7693.000000 1.1634013419E+00 2.0969997000E+04 +7692.000000 1.1634012919E+00 2.0967271500E+04 +7691.000000 1.1634012417E+00 2.0964546000E+04 +7690.000000 1.1634011913E+00 2.0961820500E+04 +7689.000000 1.1634011407E+00 2.0959095000E+04 +7688.000000 1.1634010899E+00 2.0956369500E+04 +7687.000000 1.1634010389E+00 2.0953644000E+04 +7686.000000 1.1634009877E+00 2.0950918500E+04 +7685.000000 1.1634009363E+00 2.0948193000E+04 +7684.000000 1.1634008847E+00 2.0945467500E+04 +7683.000000 1.1634008329E+00 2.0942742000E+04 +7682.000000 1.1634007808E+00 2.0940016500E+04 +7681.000000 1.1634007286E+00 2.0937291000E+04 +7680.000000 1.1634006762E+00 2.0934565500E+04 +7679.000000 1.1634006235E+00 2.0931840000E+04 +7678.000000 1.1634005707E+00 2.0929114500E+04 +7677.000000 1.1634005176E+00 2.0926389000E+04 +7676.000000 1.1634004643E+00 2.0923663500E+04 +7675.000000 1.1634004108E+00 2.0920938000E+04 +7674.000000 1.1634003571E+00 2.0918212500E+04 +7673.000000 1.1634003032E+00 2.0915487000E+04 +7672.000000 1.1634002490E+00 2.0912761500E+04 +7671.000000 1.1634001946E+00 2.0910036000E+04 +7670.000000 1.1634001401E+00 2.0907310500E+04 +7669.000000 1.1634000853E+00 2.0904585000E+04 +7668.000000 1.1634000302E+00 2.0901859500E+04 +7667.000000 1.1633999750E+00 2.0899134000E+04 +7666.000000 1.1633999195E+00 2.0896408500E+04 +7665.000000 1.1633998638E+00 2.0893683000E+04 +7664.000000 1.1633998079E+00 2.0890957500E+04 +7663.000000 1.1633997518E+00 2.0888232000E+04 +7662.000000 1.1633996954E+00 2.0885506500E+04 +7661.000000 1.1633996388E+00 2.0882781000E+04 +7660.000000 1.1633995820E+00 2.0880055500E+04 +7659.000000 1.1633995249E+00 2.0877330000E+04 +7658.000000 1.1633994676E+00 2.0874604500E+04 +7657.000000 1.1633994101E+00 2.0871879000E+04 +7656.000000 1.1633993524E+00 2.0869153500E+04 +7655.000000 1.1633992944E+00 2.0866428000E+04 +7654.000000 1.1633992362E+00 2.0863702500E+04 +7653.000000 1.1633991778E+00 2.0860977000E+04 +7652.000000 1.1633991191E+00 2.0858251500E+04 +7651.000000 1.1633990602E+00 2.0855526000E+04 +7650.000000 1.1633990010E+00 2.0852800500E+04 +7649.000000 1.1633989416E+00 2.0850075000E+04 +7648.000000 1.1633988820E+00 2.0847349500E+04 +7647.000000 1.1633988222E+00 2.0844624000E+04 +7646.000000 1.1633987620E+00 2.0841898500E+04 +7645.000000 1.1633987017E+00 2.0839173000E+04 +7644.000000 1.1633986411E+00 2.0836447500E+04 +7643.000000 1.1633985803E+00 2.0833722000E+04 +7642.000000 1.1633985192E+00 2.0830996500E+04 +7641.000000 1.1633984578E+00 2.0828271000E+04 +7640.000000 1.1633983962E+00 2.0825545500E+04 +7639.000000 1.1633983344E+00 2.0822820000E+04 +7638.000000 1.1633982723E+00 2.0820094500E+04 +7637.000000 1.1633982100E+00 2.0817369000E+04 +7636.000000 1.1633981474E+00 2.0814643500E+04 +7635.000000 1.1633980845E+00 2.0811918000E+04 +7634.000000 1.1633980214E+00 2.0809192500E+04 +7633.000000 1.1633979581E+00 2.0806467000E+04 +7632.000000 1.1633978945E+00 2.0803741500E+04 +7631.000000 1.1633978306E+00 2.0801016000E+04 +7630.000000 1.1633977664E+00 2.0798290500E+04 +7629.000000 1.1633977020E+00 2.0795565000E+04 +7628.000000 1.1633976374E+00 2.0792839500E+04 +7627.000000 1.1633975725E+00 2.0790114000E+04 +7626.000000 1.1633975073E+00 2.0787388500E+04 +7625.000000 1.1633974418E+00 2.0784663000E+04 +7624.000000 1.1633973761E+00 2.0781937500E+04 +7623.000000 1.1633973102E+00 2.0779212000E+04 +7622.000000 1.1633972439E+00 2.0776486500E+04 +7621.000000 1.1633971774E+00 2.0773761000E+04 +7620.000000 1.1633971107E+00 2.0771035500E+04 +7619.000000 1.1633970436E+00 2.0768310000E+04 +7618.000000 1.1633969763E+00 2.0765584500E+04 +7617.000000 1.1633969087E+00 2.0762859000E+04 +7616.000000 1.1633968408E+00 2.0760133500E+04 +7615.000000 1.1633967727E+00 2.0757408000E+04 +7614.000000 1.1633967043E+00 2.0754682500E+04 +7613.000000 1.1633966356E+00 2.0751957000E+04 +7612.000000 1.1633965666E+00 2.0749231500E+04 +7611.000000 1.1633964973E+00 2.0746506000E+04 +7610.000000 1.1633964278E+00 2.0743780500E+04 +7609.000000 1.1633963579E+00 2.0741055000E+04 +7608.000000 1.1633962878E+00 2.0738329500E+04 +7607.000000 1.1633962174E+00 2.0735604000E+04 +7606.000000 1.1633961467E+00 2.0732878500E+04 +7605.000000 1.1633960757E+00 2.0730153000E+04 +7604.000000 1.1633960044E+00 2.0727427500E+04 +7603.000000 1.1633959329E+00 2.0724702000E+04 +7602.000000 1.1633958610E+00 2.0721976500E+04 +7601.000000 1.1633957889E+00 2.0719251000E+04 +7600.000000 1.1633957164E+00 2.0716525500E+04 +7599.000000 1.1633956437E+00 2.0713800000E+04 +7598.000000 1.1633955706E+00 2.0711074500E+04 +7597.000000 1.1633954973E+00 2.0708349000E+04 +7596.000000 1.1633954236E+00 2.0705623500E+04 +7595.000000 1.1633953497E+00 2.0702898000E+04 +7594.000000 1.1633952754E+00 2.0700172500E+04 +7593.000000 1.1633952009E+00 2.0697447000E+04 +7592.000000 1.1633951260E+00 2.0694721500E+04 +7591.000000 1.1633950509E+00 2.0691996000E+04 +7590.000000 1.1633949754E+00 2.0689270500E+04 +7589.000000 1.1633948997E+00 2.0686545000E+04 +7588.000000 1.1633948236E+00 2.0683819500E+04 +7587.000000 1.1633947472E+00 2.0681094000E+04 +7586.000000 1.1633946705E+00 2.0678368500E+04 +7585.000000 1.1633945935E+00 2.0675643000E+04 +7584.000000 1.1633945162E+00 2.0672917500E+04 +7583.000000 1.1633944385E+00 2.0670192000E+04 +7582.000000 1.1633943605E+00 2.0667466500E+04 +7581.000000 1.1633942822E+00 2.0664741000E+04 +7580.000000 1.1633942036E+00 2.0662015500E+04 +7579.000000 1.1633941247E+00 2.0659290000E+04 +7578.000000 1.1633940454E+00 2.0656564500E+04 +7577.000000 1.1633939658E+00 2.0653839000E+04 +7576.000000 1.1633938859E+00 2.0651113500E+04 +7575.000000 1.1633938056E+00 2.0648388000E+04 +7574.000000 1.1633937250E+00 2.0645662500E+04 +7573.000000 1.1633936441E+00 2.0642937000E+04 +7572.000000 1.1633935629E+00 2.0640211500E+04 +7571.000000 1.1633934813E+00 2.0637486000E+04 +7570.000000 1.1633933993E+00 2.0634760500E+04 +7569.000000 1.1633933171E+00 2.0632035000E+04 +7568.000000 1.1633932345E+00 2.0629309500E+04 +7567.000000 1.1633931515E+00 2.0626584000E+04 +7566.000000 1.1633930682E+00 2.0623858500E+04 +7565.000000 1.1633929846E+00 2.0621133000E+04 +7564.000000 1.1633929006E+00 2.0618407500E+04 +7563.000000 1.1633928163E+00 2.0615682000E+04 +7562.000000 1.1633927317E+00 2.0612956500E+04 +7561.000000 1.1633926467E+00 2.0610231000E+04 +7560.000000 1.1633925614E+00 2.0607505500E+04 +7559.000000 1.1633924757E+00 2.0604780000E+04 +7558.000000 1.1633923896E+00 2.0602054500E+04 +7557.000000 1.1633923032E+00 2.0599329000E+04 +7556.000000 1.1633922164E+00 2.0596603500E+04 +7555.000000 1.1633921293E+00 2.0593878000E+04 +7554.000000 1.1633920418E+00 2.0591152500E+04 +7553.000000 1.1633919539E+00 2.0588427000E+04 +7552.000000 1.1633918657E+00 2.0585701500E+04 +7551.000000 1.1633917771E+00 2.0582976000E+04 +7550.000000 1.1633916882E+00 2.0580250500E+04 +7549.000000 1.1633915988E+00 2.0577525000E+04 +7548.000000 1.1633915091E+00 2.0574799500E+04 +7547.000000 1.1633914191E+00 2.0572074000E+04 +7546.000000 1.1633913286E+00 2.0569348500E+04 +7545.000000 1.1633912378E+00 2.0566623000E+04 +7544.000000 1.1633911466E+00 2.0563897500E+04 +7543.000000 1.1633910550E+00 2.0561172000E+04 +7542.000000 1.1633909631E+00 2.0558446500E+04 +7541.000000 1.1633908707E+00 2.0555721000E+04 +7540.000000 1.1633907780E+00 2.0552995500E+04 +7539.000000 1.1633906849E+00 2.0550270000E+04 +7538.000000 1.1633905914E+00 2.0547544500E+04 +7537.000000 1.1633904975E+00 2.0544819000E+04 +7536.000000 1.1633904032E+00 2.0542093500E+04 +7535.000000 1.1633903085E+00 2.0539368000E+04 +7534.000000 1.1633902135E+00 2.0536642500E+04 +7533.000000 1.1633901180E+00 2.0533917000E+04 +7532.000000 1.1633900222E+00 2.0531191500E+04 +7531.000000 1.1633899260E+00 2.0528466000E+04 +7530.000000 1.1633898294E+00 2.0525740500E+04 +7529.000000 1.1633897323E+00 2.0523015000E+04 +7528.000000 1.1633896349E+00 2.0520289500E+04 +7527.000000 1.1633895370E+00 2.0517564000E+04 +7526.000000 1.1633894388E+00 2.0514838500E+04 +7525.000000 1.1633893401E+00 2.0512113000E+04 +7524.000000 1.1633892410E+00 2.0509387500E+04 +7523.000000 1.1633891415E+00 2.0506662000E+04 +7522.000000 1.1633890416E+00 2.0503936500E+04 +7521.000000 1.1633889413E+00 2.0501211000E+04 +7520.000000 1.1633888405E+00 2.0498485500E+04 +7519.000000 1.1633887394E+00 2.0495760000E+04 +7518.000000 1.1633886378E+00 2.0493034500E+04 +7517.000000 1.1633885358E+00 2.0490309000E+04 +7516.000000 1.1633884333E+00 2.0487583500E+04 +7515.000000 1.1633883304E+00 2.0484858000E+04 +7514.000000 1.1633882271E+00 2.0482132500E+04 +7513.000000 1.1633881234E+00 2.0479407000E+04 +7512.000000 1.1633880192E+00 2.0476681500E+04 +7511.000000 1.1633879146E+00 2.0473956000E+04 +7510.000000 1.1633878095E+00 2.0471230500E+04 +7509.000000 1.1633877040E+00 2.0468505000E+04 +7508.000000 1.1633875981E+00 2.0465779500E+04 +7507.000000 1.1633874917E+00 2.0463054000E+04 +7506.000000 1.1633873849E+00 2.0460328500E+04 +7505.000000 1.1633872776E+00 2.0457603000E+04 +7504.000000 1.1633871699E+00 2.0454877500E+04 +7503.000000 1.1633870617E+00 2.0452152000E+04 +7502.000000 1.1633869531E+00 2.0449426500E+04 +7501.000000 1.1633868441E+00 2.0446701000E+04 +7500.000000 1.1633867346E+00 2.0443975500E+04 +7499.000000 1.1633866246E+00 2.0441250000E+04 +7498.000000 1.1633865142E+00 2.0438524500E+04 +7497.000000 1.1633864033E+00 2.0435799000E+04 +7496.000000 1.1633862919E+00 2.0433073500E+04 +7495.000000 1.1633861801E+00 2.0430348000E+04 +7494.000000 1.1633860677E+00 2.0427622500E+04 +7493.000000 1.1633859550E+00 2.0424897000E+04 +7492.000000 1.1633858417E+00 2.0422171500E+04 +7491.000000 1.1633857280E+00 2.0419446000E+04 +7490.000000 1.1633856137E+00 2.0416720500E+04 +7489.000000 1.1633854990E+00 2.0413995000E+04 +7488.000000 1.1633853839E+00 2.0411269500E+04 +7487.000000 1.1633852682E+00 2.0408544000E+04 +7486.000000 1.1633851520E+00 2.0405818500E+04 +7485.000000 1.1633850354E+00 2.0403093000E+04 +7484.000000 1.1633849182E+00 2.0400367500E+04 +7483.000000 1.1633848006E+00 2.0397642000E+04 +7482.000000 1.1633846825E+00 2.0394916500E+04 +7481.000000 1.1633845638E+00 2.0392191000E+04 +7480.000000 1.1633844447E+00 2.0389465500E+04 +7479.000000 1.1633843250E+00 2.0386740000E+04 +7478.000000 1.1633842049E+00 2.0384014500E+04 +7477.000000 1.1633840842E+00 2.0381289000E+04 +7476.000000 1.1633839631E+00 2.0378563500E+04 +7475.000000 1.1633838414E+00 2.0375838000E+04 +7474.000000 1.1633837192E+00 2.0373112500E+04 +7473.000000 1.1633835965E+00 2.0370387000E+04 +7472.000000 1.1633834734E+00 2.0367661500E+04 +7471.000000 1.1633833496E+00 2.0364936000E+04 +7470.000000 1.1633832254E+00 2.0362210500E+04 +7469.000000 1.1633831006E+00 2.0359485000E+04 +7468.000000 1.1633829754E+00 2.0356759500E+04 +7467.000000 1.1633828495E+00 2.0354034000E+04 +7466.000000 1.1633827232E+00 2.0351308500E+04 +7465.000000 1.1633825963E+00 2.0348583000E+04 +7464.000000 1.1633824688E+00 2.0345857500E+04 +7463.000000 1.1633823409E+00 2.0343132000E+04 +7462.000000 1.1633822124E+00 2.0340406500E+04 +7461.000000 1.1633820833E+00 2.0337681000E+04 +7460.000000 1.1633819537E+00 2.0334955500E+04 +7459.000000 1.1633818235E+00 2.0332230000E+04 +7458.000000 1.1633816928E+00 2.0329504500E+04 +7457.000000 1.1633815615E+00 2.0326779000E+04 +7456.000000 1.1633814297E+00 2.0324053500E+04 +7455.000000 1.1633812973E+00 2.0321328000E+04 +7454.000000 1.1633811643E+00 2.0318602500E+04 +7453.000000 1.1633810308E+00 2.0315877000E+04 +7452.000000 1.1633808967E+00 2.0313151500E+04 +7451.000000 1.1633807620E+00 2.0310426000E+04 +7450.000000 1.1633806268E+00 2.0307700500E+04 +7449.000000 1.1633804910E+00 2.0304975000E+04 +7448.000000 1.1633803546E+00 2.0302249500E+04 +7447.000000 1.1633802176E+00 2.0299524000E+04 +7446.000000 1.1633800800E+00 2.0296798500E+04 +7445.000000 1.1633799419E+00 2.0294073000E+04 +7444.000000 1.1633798031E+00 2.0291347500E+04 +7443.000000 1.1633796639E+00 2.0288622000E+04 +7442.000000 1.1633795240E+00 2.0285896500E+04 +7441.000000 1.1633793835E+00 2.0283171000E+04 +7440.000000 1.1633792424E+00 2.0280445500E+04 +7439.000000 1.1633791007E+00 2.0277720000E+04 +7438.000000 1.1633789585E+00 2.0274994500E+04 +7437.000000 1.1633788156E+00 2.0272269000E+04 +7436.000000 1.1633786721E+00 2.0269543500E+04 +7435.000000 1.1633785279E+00 2.0266818000E+04 +7434.000000 1.1633783832E+00 2.0264092500E+04 +7433.000000 1.1633782378E+00 2.0261367000E+04 +7432.000000 1.1633780919E+00 2.0258641500E+04 +7431.000000 1.1633779453E+00 2.0255916000E+04 +7430.000000 1.1633777980E+00 2.0253190500E+04 +7429.000000 1.1633776502E+00 2.0250465000E+04 +7428.000000 1.1633775017E+00 2.0247739500E+04 +7427.000000 1.1633773525E+00 2.0245014000E+04 +7426.000000 1.1633772027E+00 2.0242288500E+04 +7425.000000 1.1633770523E+00 2.0239563000E+04 +7424.000000 1.1633769013E+00 2.0236837500E+04 +7423.000000 1.1633767495E+00 2.0234112000E+04 +7422.000000 1.1633765972E+00 2.0231386500E+04 +7421.000000 1.1633764442E+00 2.0228661000E+04 +7420.000000 1.1633762905E+00 2.0225935500E+04 +7419.000000 1.1633761361E+00 2.0223210000E+04 +7418.000000 1.1633759811E+00 2.0220484500E+04 +7417.000000 1.1633758255E+00 2.0217759000E+04 +7416.000000 1.1633756691E+00 2.0215033500E+04 +7415.000000 1.1633755121E+00 2.0212308000E+04 +7414.000000 1.1633753545E+00 2.0209582500E+04 +7413.000000 1.1633751962E+00 2.0206857000E+04 +7412.000000 1.1633750372E+00 2.0204131500E+04 +7411.000000 1.1633748775E+00 2.0201406000E+04 +7410.000000 1.1633747171E+00 2.0198680500E+04 +7409.000000 1.1633745561E+00 2.0195955000E+04 +7408.000000 1.1633743943E+00 2.0193229500E+04 +7407.000000 1.1633742319E+00 2.0190504000E+04 +7406.000000 1.1633740687E+00 2.0187778500E+04 +7405.000000 1.1633739049E+00 2.0185053000E+04 +7404.000000 1.1633737403E+00 2.0182327500E+04 +7403.000000 1.1633735751E+00 2.0179602000E+04 +7402.000000 1.1633734091E+00 2.0176876500E+04 +7401.000000 1.1633732424E+00 2.0174151000E+04 +7400.000000 1.1633730750E+00 2.0171425500E+04 +7399.000000 1.1633729068E+00 2.0168700000E+04 +7398.000000 1.1633727380E+00 2.0165974500E+04 +7397.000000 1.1633725684E+00 2.0163249000E+04 +7396.000000 1.1633723980E+00 2.0160523500E+04 +7395.000000 1.1633722269E+00 2.0157798000E+04 +7394.000000 1.1633720551E+00 2.0155072500E+04 +7393.000000 1.1633718826E+00 2.0152347000E+04 +7392.000000 1.1633717093E+00 2.0149621500E+04 +7391.000000 1.1633715352E+00 2.0146896000E+04 +7390.000000 1.1633713604E+00 2.0144170500E+04 +7389.000000 1.1633711849E+00 2.0141445000E+04 +7388.000000 1.1633710085E+00 2.0138719500E+04 +7387.000000 1.1633708314E+00 2.0135994000E+04 +7386.000000 1.1633706536E+00 2.0133268500E+04 +7385.000000 1.1633704750E+00 2.0130543000E+04 +7384.000000 1.1633702956E+00 2.0127817500E+04 +7383.000000 1.1633701155E+00 2.0125092000E+04 +7382.000000 1.1633699346E+00 2.0122366500E+04 +7381.000000 1.1633697529E+00 2.0119641000E+04 +7380.000000 1.1633695705E+00 2.0116915500E+04 +7379.000000 1.1633693872E+00 2.0114190000E+04 +7378.000000 1.1633692031E+00 2.0111464500E+04 +7377.000000 1.1633690183E+00 2.0108739000E+04 +7376.000000 1.1633688326E+00 2.0106013500E+04 +7375.000000 1.1633686462E+00 2.0103288000E+04 +7374.000000 1.1633684589E+00 2.0100562500E+04 +7373.000000 1.1633682708E+00 2.0097837000E+04 +7372.000000 1.1633680819E+00 2.0095111500E+04 +7371.000000 1.1633678921E+00 2.0092386000E+04 +7370.000000 1.1633677016E+00 2.0089660500E+04 +7369.000000 1.1633675102E+00 2.0086935000E+04 +7368.000000 1.1633673179E+00 2.0084209500E+04 +7367.000000 1.1633671249E+00 2.0081484000E+04 +7366.000000 1.1633669310E+00 2.0078758500E+04 +7365.000000 1.1633667362E+00 2.0076033000E+04 +7364.000000 1.1633665406E+00 2.0073307500E+04 +7363.000000 1.1633663441E+00 2.0070582000E+04 +7362.000000 1.1633661468E+00 2.0067856500E+04 +7361.000000 1.1633659486E+00 2.0065131000E+04 +7360.000000 1.1633657496E+00 2.0062405500E+04 +7359.000000 1.1633655497E+00 2.0059680000E+04 +7358.000000 1.1633653489E+00 2.0056954500E+04 +7357.000000 1.1633651472E+00 2.0054229000E+04 +7356.000000 1.1633649447E+00 2.0051503500E+04 +7355.000000 1.1633647413E+00 2.0048778000E+04 +7354.000000 1.1633645371E+00 2.0046052500E+04 +7353.000000 1.1633643319E+00 2.0043327000E+04 +7352.000000 1.1633641259E+00 2.0040601500E+04 +7351.000000 1.1633639190E+00 2.0037876000E+04 +7350.000000 1.1633637111E+00 2.0035150500E+04 +7349.000000 1.1633635024E+00 2.0032425000E+04 +7348.000000 1.1633632927E+00 2.0029699500E+04 +7347.000000 1.1633630821E+00 2.0026974000E+04 +7346.000000 1.1633628706E+00 2.0024248500E+04 +7345.000000 1.1633626582E+00 2.0021523000E+04 +7344.000000 1.1633624448E+00 2.0018797500E+04 +7343.000000 1.1633622305E+00 2.0016072000E+04 +7342.000000 1.1633620153E+00 2.0013346500E+04 +7341.000000 1.1633617991E+00 2.0010621000E+04 +7340.000000 1.1633615820E+00 2.0007895500E+04 +7339.000000 1.1633613639E+00 2.0005170000E+04 +7338.000000 1.1633611448E+00 2.0002444500E+04 +7337.000000 1.1633609248E+00 1.9999719000E+04 +7336.000000 1.1633607039E+00 1.9996993500E+04 +7335.000000 1.1633604819E+00 1.9994268000E+04 +7334.000000 1.1633602590E+00 1.9991542500E+04 +7333.000000 1.1633600351E+00 1.9988817000E+04 +7332.000000 1.1633598102E+00 1.9986091500E+04 +7331.000000 1.1633595843E+00 1.9983366000E+04 +7330.000000 1.1633593574E+00 1.9980640500E+04 +7329.000000 1.1633591296E+00 1.9977915000E+04 +7328.000000 1.1633589007E+00 1.9975189500E+04 +7327.000000 1.1633586708E+00 1.9972464000E+04 +7326.000000 1.1633584399E+00 1.9969738500E+04 +7325.000000 1.1633582081E+00 1.9967013000E+04 +7324.000000 1.1633579753E+00 1.9964287500E+04 +7323.000000 1.1633577414E+00 1.9961562000E+04 +7322.000000 1.1633575065E+00 1.9958836500E+04 +7321.000000 1.1633572706E+00 1.9956111000E+04 +7320.000000 1.1633570336E+00 1.9953385500E+04 +7319.000000 1.1633567955E+00 1.9950660000E+04 +7318.000000 1.1633565565E+00 1.9947934500E+04 +7317.000000 1.1633563163E+00 1.9945209000E+04 +7316.000000 1.1633560751E+00 1.9942483500E+04 +7315.000000 1.1633558329E+00 1.9939758000E+04 +7314.000000 1.1633555896E+00 1.9937032500E+04 +7313.000000 1.1633553451E+00 1.9934307000E+04 +7312.000000 1.1633550997E+00 1.9931581500E+04 +7311.000000 1.1633548531E+00 1.9928856000E+04 +7310.000000 1.1633546054E+00 1.9926130500E+04 +7309.000000 1.1633543566E+00 1.9923405000E+04 +7308.000000 1.1633541068E+00 1.9920679500E+04 +7307.000000 1.1633538558E+00 1.9917954000E+04 +7306.000000 1.1633536037E+00 1.9915228500E+04 +7305.000000 1.1633533505E+00 1.9912503000E+04 +7304.000000 1.1633530962E+00 1.9909777500E+04 +7303.000000 1.1633528407E+00 1.9907052000E+04 +7302.000000 1.1633525842E+00 1.9904326500E+04 +7301.000000 1.1633523264E+00 1.9901601000E+04 +7300.000000 1.1633520676E+00 1.9898875500E+04 +7299.000000 1.1633518076E+00 1.9896150000E+04 +7298.000000 1.1633515464E+00 1.9893424500E+04 +7297.000000 1.1633512841E+00 1.9890699000E+04 +7296.000000 1.1633510207E+00 1.9887973500E+04 +7295.000000 1.1633507561E+00 1.9885248000E+04 +7294.000000 1.1633504904E+00 1.9882522500E+04 +7293.000000 1.1633502235E+00 1.9879797000E+04 +7292.000000 1.1633499554E+00 1.9877071500E+04 +7291.000000 1.1633496861E+00 1.9874346000E+04 +7290.000000 1.1633494156E+00 1.9871620500E+04 +7289.000000 1.1633491439E+00 1.9868895000E+04 +7288.000000 1.1633488710E+00 1.9866169500E+04 +7287.000000 1.1633485969E+00 1.9863444000E+04 +7286.000000 1.1633483215E+00 1.9860718500E+04 +7285.000000 1.1633480449E+00 1.9857993000E+04 +7284.000000 1.1633477671E+00 1.9855267500E+04 +7283.000000 1.1633474881E+00 1.9852542000E+04 +7282.000000 1.1633472078E+00 1.9849816500E+04 +7281.000000 1.1633469263E+00 1.9847091000E+04 +7280.000000 1.1633466435E+00 1.9844365500E+04 +7279.000000 1.1633463594E+00 1.9841640000E+04 +7278.000000 1.1633460741E+00 1.9838914500E+04 +7277.000000 1.1633457875E+00 1.9836189000E+04 +7276.000000 1.1633454997E+00 1.9833463500E+04 +7275.000000 1.1633452105E+00 1.9830738000E+04 +7274.000000 1.1633449200E+00 1.9828012500E+04 +7273.000000 1.1633446283E+00 1.9825287000E+04 +7272.000000 1.1633443352E+00 1.9822561500E+04 +7271.000000 1.1633440409E+00 1.9819836000E+04 +7270.000000 1.1633437452E+00 1.9817110500E+04 +7269.000000 1.1633434482E+00 1.9814385000E+04 +7268.000000 1.1633431499E+00 1.9811659500E+04 +7267.000000 1.1633428503E+00 1.9808934000E+04 +7266.000000 1.1633425494E+00 1.9806208500E+04 +7265.000000 1.1633422472E+00 1.9803483000E+04 +7264.000000 1.1633419436E+00 1.9800757500E+04 +7263.000000 1.1633416386E+00 1.9798032000E+04 +7262.000000 1.1633413323E+00 1.9795306500E+04 +7261.000000 1.1633410246E+00 1.9792581000E+04 +7260.000000 1.1633407156E+00 1.9789855500E+04 +7259.000000 1.1633404051E+00 1.9787130000E+04 +7258.000000 1.1633400933E+00 1.9784404500E+04 +7257.000000 1.1633397800E+00 1.9781679000E+04 +7256.000000 1.1633394654E+00 1.9778953500E+04 +7255.000000 1.1633391493E+00 1.9776228000E+04 +7254.000000 1.1633388318E+00 1.9773502500E+04 +7253.000000 1.1633385129E+00 1.9770777000E+04 +7252.000000 1.1633381925E+00 1.9768051500E+04 +7251.000000 1.1633378707E+00 1.9765326000E+04 +7250.000000 1.1633375475E+00 1.9762600500E+04 +7249.000000 1.1633372228E+00 1.9759875000E+04 +7248.000000 1.1633368967E+00 1.9757149500E+04 +7247.000000 1.1633365690E+00 1.9754424000E+04 +7246.000000 1.1633362399E+00 1.9751698500E+04 +7245.000000 1.1633359094E+00 1.9748973000E+04 +7244.000000 1.1633355773E+00 1.9746247500E+04 +7243.000000 1.1633352437E+00 1.9743522000E+04 +7242.000000 1.1633349087E+00 1.9740796500E+04 +7241.000000 1.1633345721E+00 1.9738071000E+04 +7240.000000 1.1633342340E+00 1.9735345500E+04 +7239.000000 1.1633338944E+00 1.9732620000E+04 +7238.000000 1.1633335534E+00 1.9729894500E+04 +7237.000000 1.1633332108E+00 1.9727169000E+04 +7236.000000 1.1633328667E+00 1.9724443500E+04 +7235.000000 1.1633325211E+00 1.9721718000E+04 +7234.000000 1.1633321739E+00 1.9718992500E+04 +7233.000000 1.1633318251E+00 1.9716267000E+04 +7232.000000 1.1633314747E+00 1.9713541500E+04 +7231.000000 1.1633311228E+00 1.9710816000E+04 +7230.000000 1.1633307693E+00 1.9708090500E+04 +7229.000000 1.1633304142E+00 1.9705365000E+04 +7228.000000 1.1633300574E+00 1.9702639500E+04 +7227.000000 1.1633296991E+00 1.9699914000E+04 +7226.000000 1.1633293391E+00 1.9697188500E+04 +7225.000000 1.1633289775E+00 1.9694463000E+04 +7224.000000 1.1633286143E+00 1.9691737500E+04 +7223.000000 1.1633282494E+00 1.9689012000E+04 +7222.000000 1.1633278829E+00 1.9686286500E+04 +7221.000000 1.1633275147E+00 1.9683561000E+04 +7220.000000 1.1633271448E+00 1.9680835500E+04 +7219.000000 1.1633267733E+00 1.9678110000E+04 +7218.000000 1.1633264000E+00 1.9675384500E+04 +7217.000000 1.1633260251E+00 1.9672659000E+04 +7216.000000 1.1633256485E+00 1.9669933500E+04 +7215.000000 1.1633252702E+00 1.9667208000E+04 +7214.000000 1.1633248901E+00 1.9664482500E+04 +7213.000000 1.1633245084E+00 1.9661757000E+04 +7212.000000 1.1633241249E+00 1.9659031500E+04 +7211.000000 1.1633237396E+00 1.9656306000E+04 +7210.000000 1.1633233526E+00 1.9653580500E+04 +7209.000000 1.1633229640E+00 1.9650855000E+04 +7208.000000 1.1633225736E+00 1.9648129500E+04 +7207.000000 1.1633221815E+00 1.9645404000E+04 +7206.000000 1.1633217875E+00 1.9642678500E+04 +7205.000000 1.1633213918E+00 1.9639953000E+04 +7204.000000 1.1633209943E+00 1.9637227500E+04 +7203.000000 1.1633205950E+00 1.9634502000E+04 +7202.000000 1.1633201938E+00 1.9631776500E+04 +7201.000000 1.1633197909E+00 1.9629051000E+04 +7200.000000 1.1633193861E+00 1.9626325500E+04 +7199.000000 1.1633189794E+00 1.9623600000E+04 +7198.000000 1.1633185709E+00 1.9620874500E+04 +7197.000000 1.1633181605E+00 1.9618149000E+04 +7196.000000 1.1633177483E+00 1.9615423500E+04 +7195.000000 1.1633173341E+00 1.9612698000E+04 +7194.000000 1.1633169181E+00 1.9609972500E+04 +7193.000000 1.1633165002E+00 1.9607247000E+04 +7192.000000 1.1633160804E+00 1.9604521500E+04 +7191.000000 1.1633156586E+00 1.9601796000E+04 +7190.000000 1.1633152349E+00 1.9599070500E+04 +7189.000000 1.1633148093E+00 1.9596345000E+04 +7188.000000 1.1633143818E+00 1.9593619500E+04 +7187.000000 1.1633139523E+00 1.9590894000E+04 +7186.000000 1.1633135208E+00 1.9588168500E+04 +7185.000000 1.1633130873E+00 1.9585443000E+04 +7184.000000 1.1633126519E+00 1.9582717500E+04 +7183.000000 1.1633122145E+00 1.9579992000E+04 +7182.000000 1.1633117751E+00 1.9577266500E+04 +7181.000000 1.1633113337E+00 1.9574541000E+04 +7180.000000 1.1633108904E+00 1.9571815500E+04 +7179.000000 1.1633104450E+00 1.9569090000E+04 +7178.000000 1.1633099977E+00 1.9566364500E+04 +7177.000000 1.1633095483E+00 1.9563639000E+04 +7176.000000 1.1633090968E+00 1.9560913500E+04 +7175.000000 1.1633086433E+00 1.9558188000E+04 +7174.000000 1.1633081877E+00 1.9555462500E+04 +7173.000000 1.1633077300E+00 1.9552737000E+04 +7172.000000 1.1633072702E+00 1.9550011500E+04 +7171.000000 1.1633068083E+00 1.9547286000E+04 +7170.000000 1.1633063442E+00 1.9544560500E+04 +7169.000000 1.1633058780E+00 1.9541835000E+04 +7168.000000 1.1633054097E+00 1.9539109500E+04 +7167.000000 1.1633049393E+00 1.9536384000E+04 +7166.000000 1.1633044666E+00 1.9533658500E+04 +7165.000000 1.1633039918E+00 1.9530933000E+04 +7164.000000 1.1633035148E+00 1.9528207500E+04 +7163.000000 1.1633030356E+00 1.9525482000E+04 +7162.000000 1.1633025542E+00 1.9522756500E+04 +7161.000000 1.1633020706E+00 1.9520031000E+04 +7160.000000 1.1633015848E+00 1.9517305500E+04 +7159.000000 1.1633010967E+00 1.9514580000E+04 +7158.000000 1.1633006064E+00 1.9511854500E+04 +7157.000000 1.1633001138E+00 1.9509129000E+04 +7156.000000 1.1632996189E+00 1.9506403500E+04 +7155.000000 1.1632991218E+00 1.9503678000E+04 +7154.000000 1.1632986224E+00 1.9500952500E+04 +7153.000000 1.1632981207E+00 1.9498227000E+04 +7152.000000 1.1632976167E+00 1.9495501500E+04 +7151.000000 1.1632971105E+00 1.9492776000E+04 +7150.000000 1.1632966020E+00 1.9490050500E+04 +7149.000000 1.1632960911E+00 1.9487325000E+04 +7148.000000 1.1632955779E+00 1.9484599500E+04 +7147.000000 1.1632950623E+00 1.9481874000E+04 +7146.000000 1.1632945444E+00 1.9479148500E+04 +7145.000000 1.1632940240E+00 1.9476423000E+04 +7144.000000 1.1632935012E+00 1.9473697500E+04 +7143.000000 1.1632929761E+00 1.9470972000E+04 +7142.000000 1.1632924484E+00 1.9468246500E+04 +7141.000000 1.1632919184E+00 1.9465521000E+04 +7140.000000 1.1632913859E+00 1.9462795500E+04 +7139.000000 1.1632908509E+00 1.9460070000E+04 +7138.000000 1.1632903134E+00 1.9457344500E+04 +7137.000000 1.1632897735E+00 1.9454619000E+04 +7136.000000 1.1632892310E+00 1.9451893500E+04 +7135.000000 1.1632886860E+00 1.9449168000E+04 +7134.000000 1.1632881385E+00 1.9446442500E+04 +7133.000000 1.1632875885E+00 1.9443717000E+04 +7132.000000 1.1632870359E+00 1.9440991500E+04 +7131.000000 1.1632864807E+00 1.9438266000E+04 +7130.000000 1.1632859230E+00 1.9435540500E+04 +7129.000000 1.1632853627E+00 1.9432815000E+04 +7128.000000 1.1632847998E+00 1.9430089500E+04 +7127.000000 1.1632842342E+00 1.9427364000E+04 +7126.000000 1.1632836660E+00 1.9424638500E+04 +7125.000000 1.1632830952E+00 1.9421913000E+04 +7124.000000 1.1632825218E+00 1.9419187500E+04 +7123.000000 1.1632819458E+00 1.9416462000E+04 +7122.000000 1.1632813673E+00 1.9413736500E+04 +7121.000000 1.1632807860E+00 1.9411011000E+04 +7120.000000 1.1632802020E+00 1.9408285500E+04 +7119.000000 1.1632796153E+00 1.9405560000E+04 +7118.000000 1.1632790259E+00 1.9402834500E+04 +7117.000000 1.1632784338E+00 1.9400109000E+04 +7116.000000 1.1632778388E+00 1.9397383500E+04 +7115.000000 1.1632772412E+00 1.9394658000E+04 +7114.000000 1.1632766407E+00 1.9391932500E+04 +7113.000000 1.1632760374E+00 1.9389207000E+04 +7112.000000 1.1632754313E+00 1.9386481500E+04 +7111.000000 1.1632748224E+00 1.9383756000E+04 +7110.000000 1.1632742106E+00 1.9381030500E+04 +7109.000000 1.1632735960E+00 1.9378305000E+04 +7108.000000 1.1632729785E+00 1.9375579500E+04 +7107.000000 1.1632723581E+00 1.9372854000E+04 +7106.000000 1.1632717348E+00 1.9370128500E+04 +7105.000000 1.1632711086E+00 1.9367403000E+04 +7104.000000 1.1632704795E+00 1.9364677500E+04 +7103.000000 1.1632698474E+00 1.9361952000E+04 +7102.000000 1.1632692124E+00 1.9359226500E+04 +7101.000000 1.1632685744E+00 1.9356501000E+04 +7100.000000 1.1632679334E+00 1.9353775500E+04 +7099.000000 1.1632672895E+00 1.9351050000E+04 +7098.000000 1.1632666425E+00 1.9348324500E+04 +7097.000000 1.1632659925E+00 1.9345599000E+04 +7096.000000 1.1632653394E+00 1.9342873500E+04 +7095.000000 1.1632646834E+00 1.9340148000E+04 +7094.000000 1.1632640244E+00 1.9337422500E+04 +7093.000000 1.1632633624E+00 1.9334697000E+04 +7092.000000 1.1632626973E+00 1.9331971500E+04 +7091.000000 1.1632620291E+00 1.9329246000E+04 +7090.000000 1.1632613577E+00 1.9326520500E+04 +7089.000000 1.1632606832E+00 1.9323795000E+04 +7088.000000 1.1632600055E+00 1.9321069500E+04 +7087.000000 1.1632593247E+00 1.9318344000E+04 +7086.000000 1.1632586406E+00 1.9315618500E+04 +7085.000000 1.1632579533E+00 1.9312893000E+04 +7084.000000 1.1632572628E+00 1.9310167500E+04 +7083.000000 1.1632565691E+00 1.9307442000E+04 +7082.000000 1.1632558720E+00 1.9304716500E+04 +7081.000000 1.1632551718E+00 1.9301991000E+04 +7080.000000 1.1632544682E+00 1.9299265500E+04 +7079.000000 1.1632537613E+00 1.9296540000E+04 +7078.000000 1.1632530510E+00 1.9293814500E+04 +7077.000000 1.1632523374E+00 1.9291089000E+04 +7076.000000 1.1632516205E+00 1.9288363500E+04 +7075.000000 1.1632509002E+00 1.9285638000E+04 +7074.000000 1.1632501765E+00 1.9282912500E+04 +7073.000000 1.1632494494E+00 1.9280187000E+04 +7072.000000 1.1632487188E+00 1.9277461500E+04 +7071.000000 1.1632479848E+00 1.9274736000E+04 +7070.000000 1.1632472474E+00 1.9272010500E+04 +7069.000000 1.1632465064E+00 1.9269285000E+04 +7068.000000 1.1632457620E+00 1.9266559500E+04 +7067.000000 1.1632450141E+00 1.9263834000E+04 +7066.000000 1.1632442629E+00 1.9261108500E+04 +7065.000000 1.1632435082E+00 1.9258383000E+04 +7064.000000 1.1632427500E+00 1.9255657500E+04 +7063.000000 1.1632419881E+00 1.9252932000E+04 +7062.000000 1.1632412227E+00 1.9250206500E+04 +7061.000000 1.1632404536E+00 1.9247481000E+04 +7060.000000 1.1632396809E+00 1.9244755500E+04 +7059.000000 1.1632389045E+00 1.9242030000E+04 +7058.000000 1.1632381245E+00 1.9239304500E+04 +7057.000000 1.1632373408E+00 1.9236579000E+04 +7056.000000 1.1632365534E+00 1.9233853500E+04 +7055.000000 1.1632357622E+00 1.9231128000E+04 +7054.000000 1.1632349673E+00 1.9228402500E+04 +7053.000000 1.1632341686E+00 1.9225677000E+04 +7052.000000 1.1632333661E+00 1.9222951500E+04 +7051.000000 1.1632325599E+00 1.9220226000E+04 +7050.000000 1.1632317498E+00 1.9217500500E+04 +7049.000000 1.1632309358E+00 1.9214775000E+04 +7048.000000 1.1632301180E+00 1.9212049500E+04 +7047.000000 1.1632292963E+00 1.9209324000E+04 +7046.000000 1.1632284708E+00 1.9206598500E+04 +7045.000000 1.1632276413E+00 1.9203873000E+04 +7044.000000 1.1632268078E+00 1.9201147500E+04 +7043.000000 1.1632259704E+00 1.9198422000E+04 +7042.000000 1.1632251290E+00 1.9195696500E+04 +7041.000000 1.1632242837E+00 1.9192971000E+04 +7040.000000 1.1632234343E+00 1.9190245500E+04 +7039.000000 1.1632225809E+00 1.9187520000E+04 +7038.000000 1.1632217237E+00 1.9184794500E+04 +7037.000000 1.1632208624E+00 1.9182069000E+04 +7036.000000 1.1632199971E+00 1.9179343500E+04 +7035.000000 1.1632191277E+00 1.9176618000E+04 +7034.000000 1.1632182542E+00 1.9173892500E+04 +7033.000000 1.1632173765E+00 1.9171167000E+04 +7032.000000 1.1632164946E+00 1.9168441500E+04 +7031.000000 1.1632156085E+00 1.9165716000E+04 +7030.000000 1.1632147182E+00 1.9162990500E+04 +7029.000000 1.1632138236E+00 1.9160265000E+04 +7028.000000 1.1632129248E+00 1.9157539500E+04 +7027.000000 1.1632120216E+00 1.9154814000E+04 +7026.000000 1.1632111142E+00 1.9152088500E+04 +7025.000000 1.1632102024E+00 1.9149363000E+04 +7024.000000 1.1632092863E+00 1.9146637500E+04 +7023.000000 1.1632083658E+00 1.9143912000E+04 +7022.000000 1.1632074409E+00 1.9141186500E+04 +7021.000000 1.1632065116E+00 1.9138461000E+04 +7020.000000 1.1632055779E+00 1.9135735500E+04 +7019.000000 1.1632046396E+00 1.9133010000E+04 +7018.000000 1.1632036969E+00 1.9130284500E+04 +7017.000000 1.1632027497E+00 1.9127559000E+04 +7016.000000 1.1632017980E+00 1.9124833500E+04 +7015.000000 1.1632008417E+00 1.9122108000E+04 +7014.000000 1.1631998808E+00 1.9119382500E+04 +7013.000000 1.1631989153E+00 1.9116657000E+04 +7012.000000 1.1631979453E+00 1.9113931500E+04 +7011.000000 1.1631969705E+00 1.9111206000E+04 +7010.000000 1.1631959914E+00 1.9108480500E+04 +7009.000000 1.1631950077E+00 1.9105755000E+04 +7008.000000 1.1631940193E+00 1.9103029500E+04 +7007.000000 1.1631930262E+00 1.9100304000E+04 +7006.000000 1.1631920283E+00 1.9097578500E+04 +7005.000000 1.1631910256E+00 1.9094853000E+04 +7004.000000 1.1631900181E+00 1.9092127500E+04 +7003.000000 1.1631890058E+00 1.9089402000E+04 +7002.000000 1.1631879886E+00 1.9086676500E+04 +7001.000000 1.1631869665E+00 1.9083951000E+04 +7000.000000 1.1631859395E+00 1.9081225500E+04 +6999.000000 1.1631849076E+00 1.9078500000E+04 +6998.000000 1.1631838707E+00 1.9075774500E+04 +6997.000000 1.1631828289E+00 1.9073049000E+04 +6996.000000 1.1631817820E+00 1.9070323500E+04 +6995.000000 1.1631807301E+00 1.9067598000E+04 +6994.000000 1.1631796731E+00 1.9064872500E+04 +6993.000000 1.1631786110E+00 1.9062147000E+04 +6992.000000 1.1631775438E+00 1.9059421500E+04 +6991.000000 1.1631764715E+00 1.9056696000E+04 +6990.000000 1.1631753940E+00 1.9053970500E+04 +6989.000000 1.1631743113E+00 1.9051245000E+04 +6988.000000 1.1631732234E+00 1.9048519500E+04 +6987.000000 1.1631721303E+00 1.9045794000E+04 +6986.000000 1.1631710319E+00 1.9043068500E+04 +6985.000000 1.1631699282E+00 1.9040343000E+04 +6984.000000 1.1631688192E+00 1.9037617500E+04 +6983.000000 1.1631677049E+00 1.9034892000E+04 +6982.000000 1.1631665854E+00 1.9032166500E+04 +6981.000000 1.1631654607E+00 1.9029441000E+04 +6980.000000 1.1631643306E+00 1.9026715500E+04 +6979.000000 1.1631631951E+00 1.9023990000E+04 +6978.000000 1.1631620540E+00 1.9021264500E+04 +6977.000000 1.1631609075E+00 1.9018539000E+04 +6976.000000 1.1631597554E+00 1.9015813500E+04 +6975.000000 1.1631585977E+00 1.9013088000E+04 +6974.000000 1.1631574345E+00 1.9010362500E+04 +6973.000000 1.1631562656E+00 1.9007637000E+04 +6972.000000 1.1631550911E+00 1.9004911500E+04 +6971.000000 1.1631539108E+00 1.9002186000E+04 +6970.000000 1.1631527249E+00 1.8999460500E+04 +6969.000000 1.1631515332E+00 1.8996735000E+04 +6968.000000 1.1631503357E+00 1.8994009500E+04 +6967.000000 1.1631491325E+00 1.8991284000E+04 +6966.000000 1.1631479233E+00 1.8988558500E+04 +6965.000000 1.1631467084E+00 1.8985833000E+04 +6964.000000 1.1631454875E+00 1.8983107500E+04 +6963.000000 1.1631442607E+00 1.8980382000E+04 +6962.000000 1.1631430280E+00 1.8977656500E+04 +6961.000000 1.1631417893E+00 1.8974931000E+04 +6960.000000 1.1631405446E+00 1.8972205500E+04 +6959.000000 1.1631392938E+00 1.8969480000E+04 +6958.000000 1.1631380370E+00 1.8966754500E+04 +6957.000000 1.1631367741E+00 1.8964029000E+04 +6956.000000 1.1631355050E+00 1.8961303500E+04 +6955.000000 1.1631342298E+00 1.8958578000E+04 +6954.000000 1.1631329488E+00 1.8955852500E+04 +6953.000000 1.1631316617E+00 1.8953127000E+04 +6952.000000 1.1631303683E+00 1.8950401500E+04 +6951.000000 1.1631290687E+00 1.8947676000E+04 +6950.000000 1.1631277627E+00 1.8944950500E+04 +6949.000000 1.1631264504E+00 1.8942225000E+04 +6948.000000 1.1631251317E+00 1.8939499500E+04 +6947.000000 1.1631238065E+00 1.8936774000E+04 +6946.000000 1.1631224749E+00 1.8934048500E+04 +6945.000000 1.1631211369E+00 1.8931323000E+04 +6944.000000 1.1631197923E+00 1.8928597500E+04 +6943.000000 1.1631184411E+00 1.8925872000E+04 +6942.000000 1.1631170834E+00 1.8923146500E+04 +6941.000000 1.1631157190E+00 1.8920421000E+04 +6940.000000 1.1631143480E+00 1.8917695500E+04 +6939.000000 1.1631129702E+00 1.8914970000E+04 +6938.000000 1.1631115858E+00 1.8912244500E+04 +6937.000000 1.1631101946E+00 1.8909519000E+04 +6936.000000 1.1631087966E+00 1.8906793500E+04 +6935.000000 1.1631073917E+00 1.8904068000E+04 +6934.000000 1.1631059800E+00 1.8901342500E+04 +6933.000000 1.1631045614E+00 1.8898617000E+04 +6932.000000 1.1631031359E+00 1.8895891500E+04 +6931.000000 1.1631017034E+00 1.8893166000E+04 +6930.000000 1.1631002639E+00 1.8890440500E+04 +6929.000000 1.1630988174E+00 1.8887715000E+04 +6928.000000 1.1630973638E+00 1.8884989500E+04 +6927.000000 1.1630959031E+00 1.8882264000E+04 +6926.000000 1.1630944359E+00 1.8879538500E+04 +6925.000000 1.1630929615E+00 1.8876813000E+04 +6924.000000 1.1630914798E+00 1.8874087500E+04 +6923.000000 1.1630899909E+00 1.8871362000E+04 +6922.000000 1.1630884947E+00 1.8868636500E+04 +6921.000000 1.1630869912E+00 1.8865911000E+04 +6920.000000 1.1630854803E+00 1.8863185500E+04 +6919.000000 1.1630839621E+00 1.8860460000E+04 +6918.000000 1.1630824363E+00 1.8857734500E+04 +6917.000000 1.1630809031E+00 1.8855009000E+04 +6916.000000 1.1630793623E+00 1.8852283500E+04 +6915.000000 1.1630778140E+00 1.8849558000E+04 +6914.000000 1.1630762581E+00 1.8846832500E+04 +6913.000000 1.1630746945E+00 1.8844107000E+04 +6912.000000 1.1630731232E+00 1.8841381500E+04 +6911.000000 1.1630715443E+00 1.8838656000E+04 +6910.000000 1.1630699575E+00 1.8835930500E+04 +6909.000000 1.1630683630E+00 1.8833205000E+04 +6908.000000 1.1630667606E+00 1.8830479500E+04 +6907.000000 1.1630651503E+00 1.8827754000E+04 +6906.000000 1.1630635321E+00 1.8825028500E+04 +6905.000000 1.1630619060E+00 1.8822303000E+04 +6904.000000 1.1630602718E+00 1.8819577500E+04 +6903.000000 1.1630586296E+00 1.8816852000E+04 +6902.000000 1.1630569793E+00 1.8814126500E+04 +6901.000000 1.1630553210E+00 1.8811401000E+04 +6900.000000 1.1630536544E+00 1.8808675500E+04 +6899.000000 1.1630519799E+00 1.8805950000E+04 +6898.000000 1.1630502975E+00 1.8803224500E+04 +6897.000000 1.1630486069E+00 1.8800499000E+04 +6896.000000 1.1630469080E+00 1.8797773500E+04 +6895.000000 1.1630452007E+00 1.8795048000E+04 +6894.000000 1.1630434850E+00 1.8792322500E+04 +6893.000000 1.1630417608E+00 1.8789597000E+04 +6892.000000 1.1630400280E+00 1.8786871500E+04 +6891.000000 1.1630382868E+00 1.8784146000E+04 +6890.000000 1.1630365369E+00 1.8781420500E+04 +6889.000000 1.1630347784E+00 1.8778695000E+04 +6888.000000 1.1630330112E+00 1.8775969500E+04 +6887.000000 1.1630312352E+00 1.8773244000E+04 +6886.000000 1.1630294505E+00 1.8770518500E+04 +6885.000000 1.1630276569E+00 1.8767793000E+04 +6884.000000 1.1630258545E+00 1.8765067500E+04 +6883.000000 1.1630240431E+00 1.8762342000E+04 +6882.000000 1.1630222228E+00 1.8759616500E+04 +6881.000000 1.1630203935E+00 1.8756891000E+04 +6880.000000 1.1630185551E+00 1.8754165500E+04 +6879.000000 1.1630167076E+00 1.8751440000E+04 +6878.000000 1.1630148509E+00 1.8748714500E+04 +6877.000000 1.1630129851E+00 1.8745989000E+04 +6876.000000 1.1630111100E+00 1.8743263500E+04 +6875.000000 1.1630092256E+00 1.8740538000E+04 +6874.000000 1.1630073319E+00 1.8737812500E+04 +6873.000000 1.1630054288E+00 1.8735087000E+04 +6872.000000 1.1630035163E+00 1.8732361500E+04 +6871.000000 1.1630015949E+00 1.8729636000E+04 +6870.000000 1.1629996641E+00 1.8726910500E+04 +6869.000000 1.1629977238E+00 1.8724185000E+04 +6868.000000 1.1629957739E+00 1.8721459500E+04 +6867.000000 1.1629938143E+00 1.8718734000E+04 +6866.000000 1.1629918449E+00 1.8716008500E+04 +6865.000000 1.1629898657E+00 1.8713283000E+04 +6864.000000 1.1629878768E+00 1.8710557500E+04 +6863.000000 1.1629858779E+00 1.8707832000E+04 +6862.000000 1.1629838691E+00 1.8705106500E+04 +6861.000000 1.1629818503E+00 1.8702381000E+04 +6860.000000 1.1629798214E+00 1.8699655500E+04 +6859.000000 1.1629777825E+00 1.8696930000E+04 +6858.000000 1.1629757334E+00 1.8694204500E+04 +6857.000000 1.1629736740E+00 1.8691479000E+04 +6856.000000 1.1629716045E+00 1.8688753500E+04 +6855.000000 1.1629695246E+00 1.8686028000E+04 +6854.000000 1.1629674343E+00 1.8683302500E+04 +6853.000000 1.1629653336E+00 1.8680577000E+04 +6852.000000 1.1629632225E+00 1.8677851500E+04 +6851.000000 1.1629611008E+00 1.8675126000E+04 +6850.000000 1.1629589686E+00 1.8672400500E+04 +6849.000000 1.1629568257E+00 1.8669675000E+04 +6848.000000 1.1629546721E+00 1.8666949500E+04 +6847.000000 1.1629525078E+00 1.8664224000E+04 +6846.000000 1.1629503328E+00 1.8661498500E+04 +6845.000000 1.1629481468E+00 1.8658773000E+04 +6844.000000 1.1629459503E+00 1.8656047500E+04 +6843.000000 1.1629437434E+00 1.8653322000E+04 +6842.000000 1.1629415255E+00 1.8650596500E+04 +6841.000000 1.1629392965E+00 1.8647871000E+04 +6840.000000 1.1629370563E+00 1.8645145500E+04 +6839.000000 1.1629348050E+00 1.8642420000E+04 +6838.000000 1.1629325424E+00 1.8639694500E+04 +6837.000000 1.1629302685E+00 1.8636969000E+04 +6836.000000 1.1629279833E+00 1.8634243500E+04 +6835.000000 1.1629256866E+00 1.8631518000E+04 +6834.000000 1.1629233783E+00 1.8628792500E+04 +6833.000000 1.1629210586E+00 1.8626067000E+04 +6832.000000 1.1629187272E+00 1.8623341500E+04 +6831.000000 1.1629163841E+00 1.8620616000E+04 +6830.000000 1.1629140293E+00 1.8617890500E+04 +6829.000000 1.1629116626E+00 1.8615165000E+04 +6828.000000 1.1629092841E+00 1.8612439500E+04 +6827.000000 1.1629068937E+00 1.8609714000E+04 +6826.000000 1.1629044913E+00 1.8606988500E+04 +6825.000000 1.1629020768E+00 1.8604263000E+04 +6824.000000 1.1628996502E+00 1.8601537500E+04 +6823.000000 1.1628972114E+00 1.8598812000E+04 +6822.000000 1.1628947604E+00 1.8596086500E+04 +6821.000000 1.1628922971E+00 1.8593361000E+04 +6820.000000 1.1628898215E+00 1.8590635500E+04 +6819.000000 1.1628873334E+00 1.8587910000E+04 +6818.000000 1.1628848328E+00 1.8585184500E+04 +6817.000000 1.1628823197E+00 1.8582459000E+04 +6816.000000 1.1628797950E+00 1.8579733500E+04 +6815.000000 1.1628772576E+00 1.8577008000E+04 +6814.000000 1.1628747075E+00 1.8574282500E+04 +6813.000000 1.1628721445E+00 1.8571557000E+04 +6812.000000 1.1628695687E+00 1.8568831500E+04 +6811.000000 1.1628669799E+00 1.8566106000E+04 +6810.000000 1.1628643781E+00 1.8563380500E+04 +6809.000000 1.1628617631E+00 1.8560655000E+04 +6808.000000 1.1628591350E+00 1.8557929500E+04 +6807.000000 1.1628564937E+00 1.8555204000E+04 +6806.000000 1.1628538390E+00 1.8552478500E+04 +6805.000000 1.1628511710E+00 1.8549753000E+04 +6804.000000 1.1628484895E+00 1.8547027500E+04 +6803.000000 1.1628457945E+00 1.8544302000E+04 +6802.000000 1.1628430859E+00 1.8541576500E+04 +6801.000000 1.1628403636E+00 1.8538851000E+04 +6800.000000 1.1628376276E+00 1.8536125500E+04 +6799.000000 1.1628348777E+00 1.8533400000E+04 +6798.000000 1.1628321140E+00 1.8530674500E+04 +6797.000000 1.1628293364E+00 1.8527949000E+04 +6796.000000 1.1628265447E+00 1.8525223500E+04 +6795.000000 1.1628237389E+00 1.8522498000E+04 +6794.000000 1.1628209190E+00 1.8519772500E+04 +6793.000000 1.1628180848E+00 1.8517047000E+04 +6792.000000 1.1628152363E+00 1.8514321500E+04 +6791.000000 1.1628123735E+00 1.8511596000E+04 +6790.000000 1.1628094961E+00 1.8508870500E+04 +6789.000000 1.1628066052E+00 1.8506145000E+04 +6788.000000 1.1628036999E+00 1.8503419500E+04 +6787.000000 1.1628007800E+00 1.8500694000E+04 +6786.000000 1.1627978452E+00 1.8497968500E+04 +6785.000000 1.1627948956E+00 1.8495243000E+04 +6784.000000 1.1627919311E+00 1.8492517500E+04 +6783.000000 1.1627889516E+00 1.8489792000E+04 +6782.000000 1.1627859570E+00 1.8487066500E+04 +6781.000000 1.1627829472E+00 1.8484341000E+04 +6780.000000 1.1627799222E+00 1.8481615500E+04 +6779.000000 1.1627768818E+00 1.8478890000E+04 +6778.000000 1.1627738260E+00 1.8476164500E+04 +6777.000000 1.1627707547E+00 1.8473439000E+04 +6776.000000 1.1627676678E+00 1.8470713500E+04 +6775.000000 1.1627645653E+00 1.8467988000E+04 +6774.000000 1.1627614470E+00 1.8465262500E+04 +6773.000000 1.1627583129E+00 1.8462537000E+04 +6772.000000 1.1627551628E+00 1.8459811500E+04 +6771.000000 1.1627519968E+00 1.8457086000E+04 +6770.000000 1.1627488147E+00 1.8454360500E+04 +6769.000000 1.1627456164E+00 1.8451635000E+04 +6768.000000 1.1627424019E+00 1.8448909500E+04 +6767.000000 1.1627391711E+00 1.8446184000E+04 +6766.000000 1.1627359238E+00 1.8443458500E+04 +6765.000000 1.1627326601E+00 1.8440733000E+04 +6764.000000 1.1627293798E+00 1.8438007500E+04 +6763.000000 1.1627260829E+00 1.8435282000E+04 +6762.000000 1.1627227700E+00 1.8432556500E+04 +6761.000000 1.1627194408E+00 1.8429831000E+04 +6760.000000 1.1627160947E+00 1.8427105500E+04 +6759.000000 1.1627127316E+00 1.8424380000E+04 +6758.000000 1.1627093513E+00 1.8421654500E+04 +6757.000000 1.1627059538E+00 1.8418929000E+04 +6756.000000 1.1627025391E+00 1.8416203500E+04 +6755.000000 1.1626991069E+00 1.8413478000E+04 +6754.000000 1.1626956572E+00 1.8410752500E+04 +6753.000000 1.1626921900E+00 1.8408027000E+04 +6752.000000 1.1626887051E+00 1.8405301500E+04 +6751.000000 1.1626852024E+00 1.8402576000E+04 +6750.000000 1.1626816818E+00 1.8399850500E+04 +6749.000000 1.1626781433E+00 1.8397125000E+04 +6748.000000 1.1626745867E+00 1.8394399500E+04 +6747.000000 1.1626710120E+00 1.8391674000E+04 +6746.000000 1.1626674190E+00 1.8388948500E+04 +6745.000000 1.1626638076E+00 1.8386223000E+04 +6744.000000 1.1626601779E+00 1.8383497500E+04 +6743.000000 1.1626565296E+00 1.8380772000E+04 +6742.000000 1.1626528626E+00 1.8378046500E+04 +6741.000000 1.1626491769E+00 1.8375321000E+04 +6740.000000 1.1626454725E+00 1.8372595500E+04 +6739.000000 1.1626417490E+00 1.8369870000E+04 +6738.000000 1.1626380066E+00 1.8367144500E+04 +6737.000000 1.1626342451E+00 1.8364419000E+04 +6736.000000 1.1626304643E+00 1.8361693500E+04 +6735.000000 1.1626266653E+00 1.8358968000E+04 +6734.000000 1.1626228474E+00 1.8356242500E+04 +6733.000000 1.1626190099E+00 1.8353517000E+04 +6732.000000 1.1626151528E+00 1.8350791500E+04 +6731.000000 1.1626112760E+00 1.8348066000E+04 +6730.000000 1.1626073794E+00 1.8345340500E+04 +6729.000000 1.1626034627E+00 1.8342615000E+04 +6728.000000 1.1625995261E+00 1.8339889500E+04 +6727.000000 1.1625955692E+00 1.8337164000E+04 +6726.000000 1.1625915921E+00 1.8334438500E+04 +6725.000000 1.1625875946E+00 1.8331713000E+04 +6724.000000 1.1625835766E+00 1.8328987500E+04 +6723.000000 1.1625795380E+00 1.8326262000E+04 +6722.000000 1.1625754786E+00 1.8323536500E+04 +6721.000000 1.1625713985E+00 1.8320811000E+04 +6720.000000 1.1625672974E+00 1.8318085500E+04 +6719.000000 1.1625631752E+00 1.8315360000E+04 +6718.000000 1.1625590319E+00 1.8312634500E+04 +6717.000000 1.1625548673E+00 1.8309909000E+04 +6716.000000 1.1625506814E+00 1.8307183500E+04 +6715.000000 1.1625464739E+00 1.8304458000E+04 +6714.000000 1.1625422449E+00 1.8301732500E+04 +6713.000000 1.1625379941E+00 1.8299007000E+04 +6712.000000 1.1625337215E+00 1.8296281500E+04 +6711.000000 1.1625294270E+00 1.8293556000E+04 +6710.000000 1.1625251104E+00 1.8290830500E+04 +6709.000000 1.1625207717E+00 1.8288105000E+04 +6708.000000 1.1625164121E+00 1.8285379500E+04 +6707.000000 1.1625120304E+00 1.8282654000E+04 +6706.000000 1.1625076263E+00 1.8279928500E+04 +6705.000000 1.1625031994E+00 1.8277203000E+04 +6704.000000 1.1624987499E+00 1.8274477500E+04 +6703.000000 1.1624942774E+00 1.8271752000E+04 +6702.000000 1.1624897819E+00 1.8269026500E+04 +6701.000000 1.1624852633E+00 1.8266301000E+04 +6700.000000 1.1624807214E+00 1.8263575500E+04 +6699.000000 1.1624761561E+00 1.8260850000E+04 +6698.000000 1.1624715673E+00 1.8258124500E+04 +6697.000000 1.1624669548E+00 1.8255399000E+04 +6696.000000 1.1624623186E+00 1.8252673500E+04 +6695.000000 1.1624576584E+00 1.8249948000E+04 +6694.000000 1.1624529743E+00 1.8247222500E+04 +6693.000000 1.1624482659E+00 1.8244497000E+04 +6692.000000 1.1624435333E+00 1.8241771500E+04 +6691.000000 1.1624387763E+00 1.8239046000E+04 +6690.000000 1.1624339947E+00 1.8236320500E+04 +6689.000000 1.1624291884E+00 1.8233595000E+04 +6688.000000 1.1624243574E+00 1.8230869500E+04 +6687.000000 1.1624195014E+00 1.8228144000E+04 +6686.000000 1.1624146204E+00 1.8225418500E+04 +6685.000000 1.1624097142E+00 1.8222693000E+04 +6684.000000 1.1624047828E+00 1.8219967500E+04 +6683.000000 1.1623998258E+00 1.8217242000E+04 +6682.000000 1.1623948433E+00 1.8214516500E+04 +6681.000000 1.1623898371E+00 1.8211791000E+04 +6680.000000 1.1623848050E+00 1.8209065500E+04 +6679.000000 1.1623797469E+00 1.8206340000E+04 +6678.000000 1.1623746628E+00 1.8203614500E+04 +6677.000000 1.1623695523E+00 1.8200889000E+04 +6676.000000 1.1623644154E+00 1.8198163500E+04 +6675.000000 1.1623592520E+00 1.8195438000E+04 +6674.000000 1.1623540619E+00 1.8192712500E+04 +6673.000000 1.1623488449E+00 1.8189987000E+04 +6672.000000 1.1623436009E+00 1.8187261500E+04 +6671.000000 1.1623383297E+00 1.8184536000E+04 +6670.000000 1.1623330313E+00 1.8181810500E+04 +6669.000000 1.1623277054E+00 1.8179085000E+04 +6668.000000 1.1623223519E+00 1.8176359500E+04 +6667.000000 1.1623169707E+00 1.8173634000E+04 +6666.000000 1.1623115617E+00 1.8170908500E+04 +6665.000000 1.1623061246E+00 1.8168183000E+04 +6664.000000 1.1623006593E+00 1.8165457500E+04 +6663.000000 1.1622951657E+00 1.8162732000E+04 +6662.000000 1.1622896436E+00 1.8160006500E+04 +6661.000000 1.1622840930E+00 1.8157281000E+04 +6660.000000 1.1622785135E+00 1.8154555500E+04 +6659.000000 1.1622729052E+00 1.8151830000E+04 +6658.000000 1.1622672678E+00 1.8149104500E+04 +6657.000000 1.1622616012E+00 1.8146379000E+04 +6656.000000 1.1622559052E+00 1.8143653500E+04 +6655.000000 1.1622501805E+00 1.8140928000E+04 +6654.000000 1.1622444276E+00 1.8138202500E+04 +6653.000000 1.1622386449E+00 1.8135477000E+04 +6652.000000 1.1622328321E+00 1.8132751500E+04 +6651.000000 1.1622269893E+00 1.8130026000E+04 +6650.000000 1.1622211161E+00 1.8127300500E+04 +6649.000000 1.1622152124E+00 1.8124575000E+04 +6648.000000 1.1622092780E+00 1.8121849500E+04 +6647.000000 1.1622033128E+00 1.8119124000E+04 +6646.000000 1.1621973167E+00 1.8116398500E+04 +6645.000000 1.1621912893E+00 1.8113673000E+04 +6644.000000 1.1621852307E+00 1.8110947500E+04 +6643.000000 1.1621791405E+00 1.8108222000E+04 +6642.000000 1.1621730187E+00 1.8105496500E+04 +6641.000000 1.1621668650E+00 1.8102771000E+04 +6640.000000 1.1621606793E+00 1.8100045500E+04 +6639.000000 1.1621544615E+00 1.8097320000E+04 +6638.000000 1.1621482113E+00 1.8094594500E+04 +6637.000000 1.1621419286E+00 1.8091869000E+04 +6636.000000 1.1621356132E+00 1.8089143500E+04 +6635.000000 1.1621292649E+00 1.8086418000E+04 +6634.000000 1.1621228837E+00 1.8083692500E+04 +6633.000000 1.1621164692E+00 1.8080967000E+04 +6632.000000 1.1621100214E+00 1.8078241500E+04 +6631.000000 1.1621035400E+00 1.8075516000E+04 +6630.000000 1.1620970249E+00 1.8072790500E+04 +6629.000000 1.1620904760E+00 1.8070065000E+04 +6628.000000 1.1620838949E+00 1.8067339500E+04 +6627.000000 1.1620772801E+00 1.8064614000E+04 +6626.000000 1.1620706310E+00 1.8061888500E+04 +6625.000000 1.1620639472E+00 1.8059163000E+04 +6624.000000 1.1620572286E+00 1.8056437500E+04 +6623.000000 1.1620504750E+00 1.8053712000E+04 +6622.000000 1.1620436862E+00 1.8050986500E+04 +6621.000000 1.1620368621E+00 1.8048261000E+04 +6620.000000 1.1620300023E+00 1.8045535500E+04 +6619.000000 1.1620231068E+00 1.8042810000E+04 +6618.000000 1.1620161753E+00 1.8040084500E+04 +6617.000000 1.1620092077E+00 1.8037359000E+04 +6616.000000 1.1620022037E+00 1.8034633500E+04 +6615.000000 1.1619951631E+00 1.8031908000E+04 +6614.000000 1.1619880858E+00 1.8029182500E+04 +6613.000000 1.1619809716E+00 1.8026457000E+04 +6612.000000 1.1619738202E+00 1.8023731500E+04 +6611.000000 1.1619666315E+00 1.8021006000E+04 +6610.000000 1.1619594053E+00 1.8018280500E+04 +6609.000000 1.1619521414E+00 1.8015555000E+04 +6608.000000 1.1619448396E+00 1.8012829500E+04 +6607.000000 1.1619374996E+00 1.8010104000E+04 +6606.000000 1.1619301214E+00 1.8007378500E+04 +6605.000000 1.1619227046E+00 1.8004653000E+04 +6604.000000 1.1619152492E+00 1.8001927500E+04 +6603.000000 1.1619077549E+00 1.7999202000E+04 +6602.000000 1.1619002222E+00 1.7996476500E+04 +6601.000000 1.1618926523E+00 1.7993751000E+04 +6600.000000 1.1618850428E+00 1.7991025500E+04 +6599.000000 1.1618773937E+00 1.7988300000E+04 +6598.000000 1.1618697045E+00 1.7985574500E+04 +6597.000000 1.1618619752E+00 1.7982849000E+04 +6596.000000 1.1618542055E+00 1.7980123500E+04 +6595.000000 1.1618463952E+00 1.7977398000E+04 +6594.000000 1.1618385441E+00 1.7974672500E+04 +6593.000000 1.1618306519E+00 1.7971947000E+04 +6592.000000 1.1618227184E+00 1.7969221500E+04 +6591.000000 1.1618147434E+00 1.7966496000E+04 +6590.000000 1.1618067267E+00 1.7963770500E+04 +6589.000000 1.1617986680E+00 1.7961045000E+04 +6588.000000 1.1617905672E+00 1.7958319500E+04 +6587.000000 1.1617824240E+00 1.7955594000E+04 +6586.000000 1.1617742381E+00 1.7952868500E+04 +6585.000000 1.1617660094E+00 1.7950143000E+04 +6584.000000 1.1617577377E+00 1.7947417500E+04 +6583.000000 1.1617494226E+00 1.7944692000E+04 +6582.000000 1.1617410641E+00 1.7941966500E+04 +6581.000000 1.1617326618E+00 1.7939241000E+04 +6580.000000 1.1617242155E+00 1.7936515500E+04 +6579.000000 1.1617157251E+00 1.7933790000E+04 +6578.000000 1.1617071903E+00 1.7931064500E+04 +6577.000000 1.1616986108E+00 1.7928339000E+04 +6576.000000 1.1616899864E+00 1.7925613500E+04 +6575.000000 1.1616813199E+00 1.7922888000E+04 +6574.000000 1.1616726082E+00 1.7920162500E+04 +6573.000000 1.1616638509E+00 1.7917437000E+04 +6572.000000 1.1616550478E+00 1.7914711500E+04 +6571.000000 1.1616461986E+00 1.7911986000E+04 +6570.000000 1.1616373031E+00 1.7909260500E+04 +6569.000000 1.1616283609E+00 1.7906535000E+04 +6568.000000 1.1616193719E+00 1.7903809500E+04 +6567.000000 1.1616103358E+00 1.7901084000E+04 +6566.000000 1.1616012523E+00 1.7898358500E+04 +6565.000000 1.1615921212E+00 1.7895633000E+04 +6564.000000 1.1615829423E+00 1.7892907500E+04 +6563.000000 1.1615737152E+00 1.7890182000E+04 +6562.000000 1.1615644397E+00 1.7887456500E+04 +6561.000000 1.1615551156E+00 1.7884731000E+04 +6560.000000 1.1615457426E+00 1.7882005500E+04 +6559.000000 1.1615363204E+00 1.7879280000E+04 +6558.000000 1.1615268489E+00 1.7876554500E+04 +6557.000000 1.1615173277E+00 1.7873829000E+04 +6556.000000 1.1615077566E+00 1.7871103500E+04 +6555.000000 1.1614981353E+00 1.7868378000E+04 +6554.000000 1.1614884635E+00 1.7865652500E+04 +6553.000000 1.1614787411E+00 1.7862927000E+04 +6552.000000 1.1614689677E+00 1.7860201500E+04 +6551.000000 1.1614591432E+00 1.7857476000E+04 +6550.000000 1.1614492672E+00 1.7854750500E+04 +6549.000000 1.1614393417E+00 1.7852025000E+04 +6548.000000 1.1614293654E+00 1.7849299500E+04 +6547.000000 1.1614193367E+00 1.7846574000E+04 +6546.000000 1.1614092556E+00 1.7843848500E+04 +6545.000000 1.1613991215E+00 1.7841123000E+04 +6544.000000 1.1613889343E+00 1.7838397500E+04 +6543.000000 1.1613786937E+00 1.7835672000E+04 +6542.000000 1.1613683993E+00 1.7832946500E+04 +6541.000000 1.1613580509E+00 1.7830221000E+04 +6540.000000 1.1613476482E+00 1.7827495500E+04 +6539.000000 1.1613371910E+00 1.7824770000E+04 +6538.000000 1.1613266788E+00 1.7822044500E+04 +6537.000000 1.1613161114E+00 1.7819319000E+04 +6536.000000 1.1613054886E+00 1.7816593500E+04 +6535.000000 1.1612948100E+00 1.7813868000E+04 +6534.000000 1.1612840754E+00 1.7811142500E+04 +6533.000000 1.1612732844E+00 1.7808417000E+04 +6532.000000 1.1612624368E+00 1.7805691500E+04 +6531.000000 1.1612515322E+00 1.7802966000E+04 +6530.000000 1.1612405704E+00 1.7800240500E+04 +6529.000000 1.1612295511E+00 1.7797515000E+04 +6528.000000 1.1612184740E+00 1.7794789500E+04 +6527.000000 1.1612073388E+00 1.7792064000E+04 +6526.000000 1.1611961452E+00 1.7789338500E+04 +6525.000000 1.1611848930E+00 1.7786613000E+04 +6524.000000 1.1611735817E+00 1.7783887500E+04 +6523.000000 1.1611622130E+00 1.7781162000E+04 +6522.000000 1.1611507866E+00 1.7778436500E+04 +6521.000000 1.1611393003E+00 1.7775711000E+04 +6520.000000 1.1611277537E+00 1.7772985500E+04 +6519.000000 1.1611161466E+00 1.7770260000E+04 +6518.000000 1.1611044785E+00 1.7767534500E+04 +6517.000000 1.1610927492E+00 1.7764809000E+04 +6516.000000 1.1610809584E+00 1.7762083500E+04 +6515.000000 1.1610691056E+00 1.7759358000E+04 +6514.000000 1.1610571907E+00 1.7756632500E+04 +6513.000000 1.1610452132E+00 1.7753907000E+04 +6512.000000 1.1610331728E+00 1.7751181500E+04 +6511.000000 1.1610210692E+00 1.7748456000E+04 +6510.000000 1.1610089021E+00 1.7745730500E+04 +6509.000000 1.1609966711E+00 1.7743005000E+04 +6508.000000 1.1609843758E+00 1.7740279500E+04 +6507.000000 1.1609720161E+00 1.7737554000E+04 +6506.000000 1.1609595915E+00 1.7734828500E+04 +6505.000000 1.1609471016E+00 1.7732103000E+04 +6504.000000 1.1609345463E+00 1.7729377500E+04 +6503.000000 1.1609219251E+00 1.7726652000E+04 +6502.000000 1.1609092376E+00 1.7723926500E+04 +6501.000000 1.1608964837E+00 1.7721201000E+04 +6500.000000 1.1608836629E+00 1.7718475500E+04 +6499.000000 1.1608707748E+00 1.7715750000E+04 +6498.000000 1.1608578193E+00 1.7713024500E+04 +6497.000000 1.1608447977E+00 1.7710299000E+04 +6496.000000 1.1608317101E+00 1.7707573500E+04 +6495.000000 1.1608185538E+00 1.7704848000E+04 +6494.000000 1.1608053286E+00 1.7702122500E+04 +6493.000000 1.1607920341E+00 1.7699397000E+04 +6492.000000 1.1607786698E+00 1.7696671500E+04 +6491.000000 1.1607652355E+00 1.7693946000E+04 +6490.000000 1.1607517307E+00 1.7691220500E+04 +6489.000000 1.1607381551E+00 1.7688495000E+04 +6488.000000 1.1607245083E+00 1.7685769500E+04 +6487.000000 1.1607107899E+00 1.7683044000E+04 +6486.000000 1.1606969996E+00 1.7680318500E+04 +6485.000000 1.1606831369E+00 1.7677593000E+04 +6484.000000 1.1606692015E+00 1.7674867500E+04 +6483.000000 1.1606551931E+00 1.7672142000E+04 +6482.000000 1.1606411112E+00 1.7669416500E+04 +6481.000000 1.1606269555E+00 1.7666691000E+04 +6480.000000 1.1606127255E+00 1.7663965500E+04 +6479.000000 1.1605984210E+00 1.7661240000E+04 +6478.000000 1.1605840416E+00 1.7658514500E+04 +6477.000000 1.1605695868E+00 1.7655789000E+04 +6476.000000 1.1605550563E+00 1.7653063500E+04 +6475.000000 1.1605404497E+00 1.7650338000E+04 +6474.000000 1.1605257667E+00 1.7647612500E+04 +6473.000000 1.1605110068E+00 1.7644887000E+04 +6472.000000 1.1604961696E+00 1.7642161500E+04 +6471.000000 1.1604812572E+00 1.7639436000E+04 +6470.000000 1.1604662687E+00 1.7636710500E+04 +6469.000000 1.1604512018E+00 1.7633985000E+04 +6468.000000 1.1604360561E+00 1.7631259500E+04 +6467.000000 1.1604208312E+00 1.7628534000E+04 +6466.000000 1.1604055265E+00 1.7625808500E+04 +6465.000000 1.1603901418E+00 1.7623083000E+04 +6464.000000 1.1603746765E+00 1.7620357500E+04 +6463.000000 1.1603591303E+00 1.7617632000E+04 +6462.000000 1.1603435028E+00 1.7614906500E+04 +6461.000000 1.1603277934E+00 1.7612181000E+04 +6460.000000 1.1603120019E+00 1.7609455500E+04 +6459.000000 1.1602961277E+00 1.7606730000E+04 +6458.000000 1.1602801705E+00 1.7604004500E+04 +6457.000000 1.1602641298E+00 1.7601279000E+04 +6456.000000 1.1602480052E+00 1.7598553500E+04 +6455.000000 1.1602317963E+00 1.7595828000E+04 +6454.000000 1.1602155027E+00 1.7593102500E+04 +6453.000000 1.1601991239E+00 1.7590377000E+04 +6452.000000 1.1601826595E+00 1.7587651500E+04 +6451.000000 1.1601661091E+00 1.7584926000E+04 +6450.000000 1.1601494723E+00 1.7582200500E+04 +6449.000000 1.1601327486E+00 1.7579475000E+04 +6448.000000 1.1601159376E+00 1.7576749500E+04 +6447.000000 1.1600990389E+00 1.7574024000E+04 +6446.000000 1.1600820520E+00 1.7571298500E+04 +6445.000000 1.1600649797E+00 1.7568573000E+04 +6444.000000 1.1600478197E+00 1.7565847500E+04 +6443.000000 1.1600305702E+00 1.7563122000E+04 +6442.000000 1.1600132307E+00 1.7560396500E+04 +6441.000000 1.1599958008E+00 1.7557671000E+04 +6440.000000 1.1599782800E+00 1.7554945500E+04 +6439.000000 1.1599606679E+00 1.7552220000E+04 +6438.000000 1.1599429639E+00 1.7549494500E+04 +6437.000000 1.1599251675E+00 1.7546769000E+04 +6436.000000 1.1599072784E+00 1.7544043500E+04 +6435.000000 1.1598892960E+00 1.7541318000E+04 +6434.000000 1.1598712199E+00 1.7538592500E+04 +6433.000000 1.1598530496E+00 1.7535867000E+04 +6432.000000 1.1598347846E+00 1.7533141500E+04 +6431.000000 1.1598164245E+00 1.7530416000E+04 +6430.000000 1.1597979687E+00 1.7527690500E+04 +6429.000000 1.1597794168E+00 1.7524965000E+04 +6428.000000 1.1597607684E+00 1.7522239500E+04 +6427.000000 1.1597420229E+00 1.7519514000E+04 +6426.000000 1.1597231798E+00 1.7516788500E+04 +6425.000000 1.1597042388E+00 1.7514063000E+04 +6424.000000 1.1596851993E+00 1.7511337500E+04 +6423.000000 1.1596660608E+00 1.7508612000E+04 +6422.000000 1.1596468229E+00 1.7505886500E+04 +6421.000000 1.1596274851E+00 1.7503161000E+04 +6420.000000 1.1596080469E+00 1.7500435500E+04 +6419.000000 1.1595885122E+00 1.7497710000E+04 +6418.000000 1.1595688763E+00 1.7494984500E+04 +6417.000000 1.1595491385E+00 1.7492259000E+04 +6416.000000 1.1595292982E+00 1.7489533500E+04 +6415.000000 1.1595093550E+00 1.7486808000E+04 +6414.000000 1.1594893084E+00 1.7484082500E+04 +6413.000000 1.1594691577E+00 1.7481357000E+04 +6412.000000 1.1594489025E+00 1.7478631500E+04 +6411.000000 1.1594285423E+00 1.7475906000E+04 +6410.000000 1.1594080765E+00 1.7473180500E+04 +6409.000000 1.1593875046E+00 1.7470455000E+04 +6408.000000 1.1593668261E+00 1.7467729500E+04 +6407.000000 1.1593460404E+00 1.7465004000E+04 +6406.000000 1.1593251471E+00 1.7462278500E+04 +6405.000000 1.1593041455E+00 1.7459553000E+04 +6404.000000 1.1592830353E+00 1.7456827500E+04 +6403.000000 1.1592618158E+00 1.7454102000E+04 +6402.000000 1.1592404865E+00 1.7451376500E+04 +6401.000000 1.1592190469E+00 1.7448651000E+04 +6400.000000 1.1591974964E+00 1.7445925500E+04 +6399.000000 1.1591758346E+00 1.7443200000E+04 +6398.000000 1.1591540609E+00 1.7440474500E+04 +6397.000000 1.1591321747E+00 1.7437749000E+04 +6396.000000 1.1591101756E+00 1.7435023500E+04 +6395.000000 1.1590880630E+00 1.7432298000E+04 +6394.000000 1.1590658378E+00 1.7429572500E+04 +6393.000000 1.1590435011E+00 1.7426847000E+04 +6392.000000 1.1590210492E+00 1.7424121500E+04 +6391.000000 1.1589984816E+00 1.7421396000E+04 +6390.000000 1.1589757978E+00 1.7418670500E+04 +6389.000000 1.1589529970E+00 1.7415945000E+04 +6388.000000 1.1589300788E+00 1.7413219500E+04 +6387.000000 1.1589070426E+00 1.7410494000E+04 +6386.000000 1.1588838878E+00 1.7407768500E+04 +6385.000000 1.1588606138E+00 1.7405043000E+04 +6384.000000 1.1588372200E+00 1.7402317500E+04 +6383.000000 1.1588137059E+00 1.7399592000E+04 +6382.000000 1.1587900709E+00 1.7396866500E+04 +6381.000000 1.1587663144E+00 1.7394141000E+04 +6380.000000 1.1587424358E+00 1.7391415500E+04 +6379.000000 1.1587184345E+00 1.7388690000E+04 +6378.000000 1.1586943101E+00 1.7385964500E+04 +6377.000000 1.1586700617E+00 1.7383239000E+04 +6376.000000 1.1586456890E+00 1.7380513500E+04 +6375.000000 1.1586211913E+00 1.7377788000E+04 +6374.000000 1.1585965680E+00 1.7375062500E+04 +6373.000000 1.1585718186E+00 1.7372337000E+04 +6372.000000 1.1585469424E+00 1.7369611500E+04 +6371.000000 1.1585219389E+00 1.7366886000E+04 +6370.000000 1.1584968075E+00 1.7364160500E+04 +6369.000000 1.1584715476E+00 1.7361435000E+04 +6368.000000 1.1584461619E+00 1.7358709500E+04 +6367.000000 1.1584206474E+00 1.7355984000E+04 +6366.000000 1.1583950026E+00 1.7353258500E+04 +6365.000000 1.1583692269E+00 1.7350533000E+04 +6364.000000 1.1583433195E+00 1.7347807500E+04 +6363.000000 1.1583172799E+00 1.7345082000E+04 +6362.000000 1.1582911075E+00 1.7342356500E+04 +6361.000000 1.1582648016E+00 1.7339631000E+04 +6360.000000 1.1582383616E+00 1.7336905500E+04 +6359.000000 1.1582117869E+00 1.7334180000E+04 +6358.000000 1.1581850768E+00 1.7331454500E+04 +6357.000000 1.1581582307E+00 1.7328729000E+04 +6356.000000 1.1581312480E+00 1.7326003500E+04 +6355.000000 1.1581041280E+00 1.7323278000E+04 +6354.000000 1.1580768701E+00 1.7320552500E+04 +6353.000000 1.1580494737E+00 1.7317827000E+04 +6352.000000 1.1580219381E+00 1.7315101500E+04 +6351.000000 1.1579942627E+00 1.7312376000E+04 +6350.000000 1.1579664468E+00 1.7309650500E+04 +6349.000000 1.1579384899E+00 1.7306925000E+04 +6348.000000 1.1579103913E+00 1.7304199500E+04 +6347.000000 1.1578821503E+00 1.7301474000E+04 +6346.000000 1.1578537663E+00 1.7298748500E+04 +6345.000000 1.1578252387E+00 1.7296023000E+04 +6344.000000 1.1577965669E+00 1.7293297500E+04 +6343.000000 1.1577677514E+00 1.7290572000E+04 +6342.000000 1.1577387927E+00 1.7287846500E+04 +6341.000000 1.1577096878E+00 1.7285121000E+04 +6340.000000 1.1576804360E+00 1.7282395500E+04 +6339.000000 1.1576510366E+00 1.7279670000E+04 +6338.000000 1.1576214889E+00 1.7276944500E+04 +6337.000000 1.1575917923E+00 1.7274219000E+04 +6336.000000 1.1575619460E+00 1.7271493500E+04 +6335.000000 1.1575319494E+00 1.7268768000E+04 +6334.000000 1.1575018019E+00 1.7266042500E+04 +6333.000000 1.1574715027E+00 1.7263317000E+04 +6332.000000 1.1574410511E+00 1.7260591500E+04 +6331.000000 1.1574104465E+00 1.7257866000E+04 +6330.000000 1.1573796882E+00 1.7255140500E+04 +6329.000000 1.1573487756E+00 1.7252415000E+04 +6328.000000 1.1573177078E+00 1.7249689500E+04 +6327.000000 1.1572864843E+00 1.7246964000E+04 +6326.000000 1.1572551043E+00 1.7244238500E+04 +6325.000000 1.1572235672E+00 1.7241513000E+04 +6324.000000 1.1571918723E+00 1.7238787500E+04 +6323.000000 1.1571600188E+00 1.7236062000E+04 +6322.000000 1.1571280062E+00 1.7233336500E+04 +6321.000000 1.1570958337E+00 1.7230611000E+04 +6320.000000 1.1570635007E+00 1.7227885500E+04 +6319.000000 1.1570310063E+00 1.7225160000E+04 +6318.000000 1.1569983502E+00 1.7222434500E+04 +6317.000000 1.1569655340E+00 1.7219709000E+04 +6316.000000 1.1569325545E+00 1.7216983500E+04 +6315.000000 1.1568994110E+00 1.7214258000E+04 +6314.000000 1.1568661026E+00 1.7211532500E+04 +6313.000000 1.1568326287E+00 1.7208807000E+04 +6312.000000 1.1567989886E+00 1.7206081500E+04 +6311.000000 1.1567651816E+00 1.7203356000E+04 +6310.000000 1.1567312068E+00 1.7200630500E+04 +6309.000000 1.1566970637E+00 1.7197905000E+04 +6308.000000 1.1566627515E+00 1.7195179500E+04 +6307.000000 1.1566282694E+00 1.7192454000E+04 +6306.000000 1.1565936168E+00 1.7189728500E+04 +6305.000000 1.1565587928E+00 1.7187003000E+04 +6304.000000 1.1565237969E+00 1.7184277500E+04 +6303.000000 1.1564886282E+00 1.7181552000E+04 +6302.000000 1.1564532861E+00 1.7178826500E+04 +6301.000000 1.1564177697E+00 1.7176101000E+04 +6300.000000 1.1563820785E+00 1.7173375500E+04 +6299.000000 1.1563462116E+00 1.7170650000E+04 +6298.000000 1.1563101683E+00 1.7167924500E+04 +6297.000000 1.1562739479E+00 1.7165199000E+04 +6296.000000 1.1562375497E+00 1.7162473500E+04 +6295.000000 1.1562009729E+00 1.7159748000E+04 +6294.000000 1.1561642168E+00 1.7157022500E+04 +6293.000000 1.1561272806E+00 1.7154297000E+04 +6292.000000 1.1560901649E+00 1.7151571500E+04 +6291.000000 1.1560528680E+00 1.7148846000E+04 +6290.000000 1.1560153887E+00 1.7146120500E+04 +6289.000000 1.1559777265E+00 1.7143395000E+04 +6288.000000 1.1559398805E+00 1.7140669500E+04 +6287.000000 1.1559018501E+00 1.7137944000E+04 +6286.000000 1.1558636343E+00 1.7135218500E+04 +6285.000000 1.1558252326E+00 1.7132493000E+04 +6284.000000 1.1557866441E+00 1.7129767500E+04 +6283.000000 1.1557478680E+00 1.7127042000E+04 +6282.000000 1.1557089038E+00 1.7124316500E+04 +6281.000000 1.1556697504E+00 1.7121591000E+04 +6280.000000 1.1556304074E+00 1.7118865500E+04 +6279.000000 1.1555908737E+00 1.7116140000E+04 +6278.000000 1.1555511488E+00 1.7113414500E+04 +6277.000000 1.1555112319E+00 1.7110689000E+04 +6276.000000 1.1554711221E+00 1.7107963500E+04 +6275.000000 1.1554308188E+00 1.7105238000E+04 +6274.000000 1.1553903212E+00 1.7102512500E+04 +6273.000000 1.1553496285E+00 1.7099787000E+04 +6272.000000 1.1553087399E+00 1.7097061500E+04 +6271.000000 1.1552676548E+00 1.7094336000E+04 +6270.000000 1.1552263723E+00 1.7091610500E+04 +6269.000000 1.1551848916E+00 1.7088885000E+04 +6268.000000 1.1551432121E+00 1.7086159500E+04 +6267.000000 1.1551013326E+00 1.7083434000E+04 +6266.000000 1.1550592527E+00 1.7080708500E+04 +6265.000000 1.1550169715E+00 1.7077983000E+04 +6264.000000 1.1549744884E+00 1.7075257500E+04 +6263.000000 1.1549318026E+00 1.7072532000E+04 +6262.000000 1.1548889134E+00 1.7069806500E+04 +6261.000000 1.1548458199E+00 1.7067081000E+04 +6260.000000 1.1548025214E+00 1.7064355500E+04 +6259.000000 1.1547590172E+00 1.7061630000E+04 +6258.000000 1.1547153064E+00 1.7058904500E+04 +6257.000000 1.1546713883E+00 1.7056179000E+04 +6256.000000 1.1546272622E+00 1.7053453500E+04 +6255.000000 1.1545829272E+00 1.7050728000E+04 +6254.000000 1.1545383827E+00 1.7048002500E+04 +6253.000000 1.1544936277E+00 1.7045277000E+04 +6252.000000 1.1544486617E+00 1.7042551500E+04 +6251.000000 1.1544034837E+00 1.7039826000E+04 +6250.000000 1.1543580930E+00 1.7037100500E+04 +6249.000000 1.1543124889E+00 1.7034375000E+04 +6248.000000 1.1542666705E+00 1.7031649500E+04 +6247.000000 1.1542206371E+00 1.7028924000E+04 +6246.000000 1.1541743880E+00 1.7026198500E+04 +6245.000000 1.1541279223E+00 1.7023473000E+04 +6244.000000 1.1540812392E+00 1.7020747500E+04 +6243.000000 1.1540343381E+00 1.7018022000E+04 +6242.000000 1.1539872162E+00 1.7015296500E+04 +6241.000000 1.1539398738E+00 1.7012571000E+04 +6240.000000 1.1538923109E+00 1.7009845500E+04 +6239.000000 1.1538445269E+00 1.7007120000E+04 +6238.000000 1.1537965210E+00 1.7004394500E+04 +6237.000000 1.1537482925E+00 1.7001669000E+04 +6236.000000 1.1536998405E+00 1.6998943500E+04 +6235.000000 1.1536511643E+00 1.6996218000E+04 +6234.000000 1.1536022632E+00 1.6993492500E+04 +6233.000000 1.1535531364E+00 1.6990767000E+04 +6232.000000 1.1535037832E+00 1.6988041500E+04 +6231.000000 1.1534542027E+00 1.6985316000E+04 +6230.000000 1.1534043943E+00 1.6982590500E+04 +6229.000000 1.1533543572E+00 1.6979865000E+04 +6228.000000 1.1533040905E+00 1.6977139500E+04 +6227.000000 1.1532535937E+00 1.6974414000E+04 +6226.000000 1.1532028658E+00 1.6971688500E+04 +6225.000000 1.1531519061E+00 1.6968963000E+04 +6224.000000 1.1531007140E+00 1.6966237500E+04 +6223.000000 1.1530492885E+00 1.6963512000E+04 +6222.000000 1.1529976289E+00 1.6960786500E+04 +6221.000000 1.1529457345E+00 1.6958061000E+04 +6220.000000 1.1528936045E+00 1.6955335500E+04 +6219.000000 1.1528412382E+00 1.6952610000E+04 +6218.000000 1.1527886347E+00 1.6949884500E+04 +6217.000000 1.1527357891E+00 1.6947159000E+04 +6216.000000 1.1526827033E+00 1.6944433500E+04 +6215.000000 1.1526293782E+00 1.6941708000E+04 +6214.000000 1.1525758130E+00 1.6938982500E+04 +6213.000000 1.1525220071E+00 1.6936257000E+04 +6212.000000 1.1524679597E+00 1.6933531500E+04 +6211.000000 1.1524136700E+00 1.6930806000E+04 +6210.000000 1.1523591375E+00 1.6928080500E+04 +6209.000000 1.1523043613E+00 1.6925355000E+04 +6208.000000 1.1522493407E+00 1.6922629500E+04 +6207.000000 1.1521940750E+00 1.6919904000E+04 +6206.000000 1.1521385636E+00 1.6917178500E+04 +6205.000000 1.1520828056E+00 1.6914453000E+04 +6204.000000 1.1520268003E+00 1.6911727500E+04 +6203.000000 1.1519705472E+00 1.6909002000E+04 +6202.000000 1.1519140453E+00 1.6906276500E+04 +6201.000000 1.1518572940E+00 1.6903551000E+04 +6200.000000 1.1518002925E+00 1.6900825500E+04 +6199.000000 1.1517430402E+00 1.6898100000E+04 +6198.000000 1.1516855364E+00 1.6895374500E+04 +6197.000000 1.1516277802E+00 1.6892649000E+04 +6196.000000 1.1515697709E+00 1.6889923500E+04 +6195.000000 1.1515115079E+00 1.6887198000E+04 +6194.000000 1.1514529904E+00 1.6884472500E+04 +6193.000000 1.1513942177E+00 1.6881747000E+04 +6192.000000 1.1513351806E+00 1.6879021500E+04 +6191.000000 1.1512758860E+00 1.6876296000E+04 +6190.000000 1.1512163343E+00 1.6873570500E+04 +6189.000000 1.1511565246E+00 1.6870845000E+04 +6188.000000 1.1510964564E+00 1.6868119500E+04 +6187.000000 1.1510361290E+00 1.6865394000E+04 +6186.000000 1.1509755419E+00 1.6862668500E+04 +6185.000000 1.1509146943E+00 1.6859943000E+04 +6184.000000 1.1508535856E+00 1.6857217500E+04 +6183.000000 1.1507922151E+00 1.6854492000E+04 +6182.000000 1.1507305823E+00 1.6851766500E+04 +6181.000000 1.1506686865E+00 1.6849041000E+04 +6180.000000 1.1506065270E+00 1.6846315500E+04 +6179.000000 1.1505441031E+00 1.6843590000E+04 +6178.000000 1.1504814143E+00 1.6840864500E+04 +6177.000000 1.1504184599E+00 1.6838139000E+04 +6176.000000 1.1503552393E+00 1.6835413500E+04 +6175.000000 1.1502917517E+00 1.6832688000E+04 +6174.000000 1.1502279966E+00 1.6829962500E+04 +6173.000000 1.1501639733E+00 1.6827237000E+04 +6172.000000 1.1500996811E+00 1.6824511500E+04 +6171.000000 1.1500351195E+00 1.6821786000E+04 +6170.000000 1.1499702876E+00 1.6819060500E+04 +6169.000000 1.1499051850E+00 1.6816335000E+04 +6168.000000 1.1498398084E+00 1.6813609500E+04 +6167.000000 1.1497741489E+00 1.6810884000E+04 +6166.000000 1.1497082168E+00 1.6808158500E+04 +6165.000000 1.1496420116E+00 1.6805433000E+04 +6164.000000 1.1495755326E+00 1.6802707500E+04 +6163.000000 1.1495087795E+00 1.6799982000E+04 +6162.000000 1.1494417517E+00 1.6797256500E+04 +6161.000000 1.1493744487E+00 1.6794531000E+04 +6160.000000 1.1493068699E+00 1.6791805500E+04 +6159.000000 1.1492390148E+00 1.6789080000E+04 +6158.000000 1.1491708830E+00 1.6786354500E+04 +6157.000000 1.1491024738E+00 1.6783629000E+04 +6156.000000 1.1490337867E+00 1.6780903500E+04 +6155.000000 1.1489648212E+00 1.6778178000E+04 +6154.000000 1.1488955769E+00 1.6775452500E+04 +6153.000000 1.1488260530E+00 1.6772727000E+04 +6152.000000 1.1487562493E+00 1.6770001500E+04 +6151.000000 1.1486861650E+00 1.6767276000E+04 +6150.000000 1.1486157996E+00 1.6764550500E+04 +6149.000000 1.1485451528E+00 1.6761825000E+04 +6148.000000 1.1484742238E+00 1.6759099500E+04 +6147.000000 1.1484030122E+00 1.6756374000E+04 +6146.000000 1.1483315175E+00 1.6753648500E+04 +6145.000000 1.1482597391E+00 1.6750923000E+04 +6144.000000 1.1481876764E+00 1.6748197500E+04 +6143.000000 1.1481153192E+00 1.6745472000E+04 +6142.000000 1.1480426689E+00 1.6742746500E+04 +6141.000000 1.1479697331E+00 1.6740021000E+04 +6140.000000 1.1478965113E+00 1.6737295500E+04 +6139.000000 1.1478230033E+00 1.6734570000E+04 +6138.000000 1.1477492087E+00 1.6731844500E+04 +6137.000000 1.1476751271E+00 1.6729119000E+04 +6136.000000 1.1476007582E+00 1.6726393500E+04 +6135.000000 1.1475261015E+00 1.6723668000E+04 +6134.000000 1.1474511569E+00 1.6720942500E+04 +6133.000000 1.1473759238E+00 1.6718217000E+04 +6132.000000 1.1473004019E+00 1.6715491500E+04 +6131.000000 1.1472245909E+00 1.6712766000E+04 +6130.000000 1.1471484904E+00 1.6710040500E+04 +6129.000000 1.1470721000E+00 1.6707315000E+04 +6128.000000 1.1469954194E+00 1.6704589500E+04 +6127.000000 1.1469184482E+00 1.6701864000E+04 +6126.000000 1.1468411861E+00 1.6699138500E+04 +6125.000000 1.1467636327E+00 1.6696413000E+04 +6124.000000 1.1466857876E+00 1.6693687500E+04 +6123.000000 1.1466076505E+00 1.6690962000E+04 +6122.000000 1.1465292209E+00 1.6688236500E+04 +6121.000000 1.1464504987E+00 1.6685511000E+04 +6120.000000 1.1463714833E+00 1.6682785500E+04 +6119.000000 1.1462921738E+00 1.6680060000E+04 +6118.000000 1.1462125489E+00 1.6677334500E+04 +6117.000000 1.1461326300E+00 1.6674609000E+04 +6116.000000 1.1460524170E+00 1.6671883500E+04 +6115.000000 1.1459719097E+00 1.6669158000E+04 +6114.000000 1.1458911080E+00 1.6666432500E+04 +6113.000000 1.1458100117E+00 1.6663707000E+04 +6112.000000 1.1457286207E+00 1.6660981500E+04 +6111.000000 1.1456469349E+00 1.6658256000E+04 +6110.000000 1.1455649541E+00 1.6655530500E+04 +6109.000000 1.1454826782E+00 1.6652805000E+04 +6108.000000 1.1454001069E+00 1.6650079500E+04 +6107.000000 1.1453172403E+00 1.6647354000E+04 +6106.000000 1.1452340781E+00 1.6644628500E+04 +6105.000000 1.1451506202E+00 1.6641903000E+04 +6104.000000 1.1450668664E+00 1.6639177500E+04 +6103.000000 1.1449828166E+00 1.6636452000E+04 +6102.000000 1.1448984707E+00 1.6633726500E+04 +6101.000000 1.1448138285E+00 1.6631001000E+04 +6100.000000 1.1447288899E+00 1.6628275500E+04 +6099.000000 1.1446436547E+00 1.6625550000E+04 +6098.000000 1.1445581228E+00 1.6622824500E+04 +6097.000000 1.1444722941E+00 1.6620099000E+04 +6096.000000 1.1443861683E+00 1.6617373500E+04 +6095.000000 1.1442997454E+00 1.6614648000E+04 +6094.000000 1.1442130095E+00 1.6611922500E+04 +6093.000000 1.1441259656E+00 1.6609197000E+04 +6092.000000 1.1440386246E+00 1.6606471500E+04 +6091.000000 1.1439509865E+00 1.6603746000E+04 +6090.000000 1.1438630516E+00 1.6601020500E+04 +6089.000000 1.1437748198E+00 1.6598295000E+04 +6088.000000 1.1436862914E+00 1.6595569500E+04 +6087.000000 1.1435974664E+00 1.6592844000E+04 +6086.000000 1.1435083450E+00 1.6590118500E+04 +6085.000000 1.1434189273E+00 1.6587393000E+04 +6084.000000 1.1433292134E+00 1.6584667500E+04 +6083.000000 1.1432392034E+00 1.6581942000E+04 +6082.000000 1.1431488976E+00 1.6579216500E+04 +6081.000000 1.1430582959E+00 1.6576491000E+04 +6080.000000 1.1429673985E+00 1.6573765500E+04 +6079.000000 1.1428762056E+00 1.6571040000E+04 +6078.000000 1.1427847173E+00 1.6568314500E+04 +6077.000000 1.1426929336E+00 1.6565589000E+04 +6076.000000 1.1426008548E+00 1.6562863500E+04 +6075.000000 1.1425084809E+00 1.6560138000E+04 +6074.000000 1.1424158120E+00 1.6557412500E+04 +6073.000000 1.1423228484E+00 1.6554687000E+04 +6072.000000 1.1422295901E+00 1.6551961500E+04 +6071.000000 1.1421360372E+00 1.6549236000E+04 +6070.000000 1.1420421821E+00 1.6546510500E+04 +6069.000000 1.1419480106E+00 1.6543785000E+04 +6068.000000 1.1418535454E+00 1.6541059500E+04 +6067.000000 1.1417587868E+00 1.6538334000E+04 +6066.000000 1.1416637353E+00 1.6535608500E+04 +6065.000000 1.1415683913E+00 1.6532883000E+04 +6064.000000 1.1414727552E+00 1.6530157500E+04 +6063.000000 1.1413768274E+00 1.6527432000E+04 +6062.000000 1.1412806085E+00 1.6524706500E+04 +6061.000000 1.1411840988E+00 1.6521981000E+04 +6060.000000 1.1410872988E+00 1.6519255500E+04 +6059.000000 1.1409902088E+00 1.6516530000E+04 +6058.000000 1.1408928294E+00 1.6513804500E+04 +6057.000000 1.1407951610E+00 1.6511079000E+04 +6056.000000 1.1406972040E+00 1.6508353500E+04 +6055.000000 1.1405989588E+00 1.6505628000E+04 +6054.000000 1.1405004260E+00 1.6502902500E+04 +6053.000000 1.1404016058E+00 1.6500177000E+04 +6052.000000 1.1403024988E+00 1.6497451500E+04 +6051.000000 1.1402031055E+00 1.6494726000E+04 +6050.000000 1.1401034261E+00 1.6492000500E+04 +6049.000000 1.1400034613E+00 1.6489275000E+04 +6048.000000 1.1399032113E+00 1.6486549500E+04 +6047.000000 1.1398026768E+00 1.6483824000E+04 +6046.000000 1.1397018572E+00 1.6481098500E+04 +6045.000000 1.1396007224E+00 1.6478373000E+04 +6044.000000 1.1394993047E+00 1.6475647500E+04 +6043.000000 1.1393976048E+00 1.6472922000E+04 +6042.000000 1.1392956234E+00 1.6470196500E+04 +6041.000000 1.1391933614E+00 1.6467471000E+04 +6040.000000 1.1390908196E+00 1.6464745500E+04 +6039.000000 1.1389879986E+00 1.6462020000E+04 +6038.000000 1.1388848993E+00 1.6459294500E+04 +6037.000000 1.1387815225E+00 1.6456569000E+04 +6036.000000 1.1386778690E+00 1.6453843500E+04 +6035.000000 1.1385739394E+00 1.6451118000E+04 +6034.000000 1.1384697347E+00 1.6448392500E+04 +6033.000000 1.1383652556E+00 1.6445667000E+04 +6032.000000 1.1382605029E+00 1.6442941500E+04 +6031.000000 1.1381554773E+00 1.6440216000E+04 +6030.000000 1.1380501797E+00 1.6437490500E+04 +6029.000000 1.1379446108E+00 1.6434765000E+04 +6028.000000 1.1378387714E+00 1.6432039500E+04 +6027.000000 1.1377326623E+00 1.6429314000E+04 +6026.000000 1.1376262844E+00 1.6426588500E+04 +6025.000000 1.1375196383E+00 1.6423863000E+04 +6024.000000 1.1374127249E+00 1.6421137500E+04 +6023.000000 1.1373055450E+00 1.6418412000E+04 +6022.000000 1.1371980993E+00 1.6415686500E+04 +6021.000000 1.1370903594E+00 1.6412961000E+04 +6020.000000 1.1369823519E+00 1.6410235500E+04 +6019.000000 1.1368740817E+00 1.6407510000E+04 +6018.000000 1.1367655500E+00 1.6404784500E+04 +6017.000000 1.1366567578E+00 1.6402059000E+04 +6016.000000 1.1365477062E+00 1.6399333500E+04 +6015.000000 1.1364383966E+00 1.6396608000E+04 +6014.000000 1.1363288299E+00 1.6393882500E+04 +6013.000000 1.1362190074E+00 1.6391157000E+04 +6012.000000 1.1361089301E+00 1.6388431500E+04 +6011.000000 1.1359985992E+00 1.6385706000E+04 +6010.000000 1.1358880160E+00 1.6382980500E+04 +6009.000000 1.1357771814E+00 1.6380255000E+04 +6008.000000 1.1356660968E+00 1.6377529500E+04 +6007.000000 1.1355547631E+00 1.6374804000E+04 +6006.000000 1.1354431816E+00 1.6372078500E+04 +6005.000000 1.1353313535E+00 1.6369353000E+04 +6004.000000 1.1352192798E+00 1.6366627500E+04 +6003.000000 1.1351069618E+00 1.6363902000E+04 +6002.000000 1.1349944006E+00 1.6361176500E+04 +6001.000000 1.1348815973E+00 1.6358451000E+04 +6000.000000 1.1347685531E+00 1.6355725500E+04 +5999.000000 1.1346552693E+00 1.6353000000E+04 +5998.000000 1.1345417468E+00 1.6350274500E+04 +5997.000000 1.1344279602E+00 1.6347549000E+04 +5996.000000 1.1343139326E+00 1.6344823500E+04 +5995.000000 1.1341996705E+00 1.6342098000E+04 +5994.000000 1.1340851754E+00 1.6339372500E+04 +5993.000000 1.1339704489E+00 1.6336647000E+04 +5992.000000 1.1338554925E+00 1.6333921500E+04 +5991.000000 1.1337403076E+00 1.6331196000E+04 +5990.000000 1.1336248957E+00 1.6328470500E+04 +5989.000000 1.1335092584E+00 1.6325745000E+04 +5988.000000 1.1333933972E+00 1.6323019500E+04 +5987.000000 1.1332773136E+00 1.6320294000E+04 +5986.000000 1.1331610091E+00 1.6317568500E+04 +5985.000000 1.1330444851E+00 1.6314843000E+04 +5984.000000 1.1329277433E+00 1.6312117500E+04 +5983.000000 1.1328107852E+00 1.6309392000E+04 +5982.000000 1.1326936122E+00 1.6306666500E+04 +5981.000000 1.1325762258E+00 1.6303941000E+04 +5980.000000 1.1324586277E+00 1.6301215500E+04 +5979.000000 1.1323408193E+00 1.6298490000E+04 +5978.000000 1.1322228022E+00 1.6295764500E+04 +5977.000000 1.1321045778E+00 1.6293039000E+04 +5976.000000 1.1319861478E+00 1.6290313500E+04 +5975.000000 1.1318675135E+00 1.6287588000E+04 +5974.000000 1.1317486767E+00 1.6284862500E+04 +5973.000000 1.1316296132E+00 1.6282137000E+04 +5972.000000 1.1315103475E+00 1.6279411500E+04 +5971.000000 1.1313908843E+00 1.6276686000E+04 +5970.000000 1.1312712255E+00 1.6273960500E+04 +5969.000000 1.1311513729E+00 1.6271235000E+04 +5968.000000 1.1310313283E+00 1.6268509500E+04 +5967.000000 1.1309110936E+00 1.6265784000E+04 +5966.000000 1.1307906707E+00 1.6263058500E+04 +5965.000000 1.1306700613E+00 1.6260333000E+04 +5964.000000 1.1305492674E+00 1.6257607500E+04 +5963.000000 1.1304282908E+00 1.6254882000E+04 +5962.000000 1.1303071333E+00 1.6252156500E+04 +5961.000000 1.1301857967E+00 1.6249431000E+04 +5960.000000 1.1300642830E+00 1.6246705500E+04 +5959.000000 1.1299425941E+00 1.6243980000E+04 +5958.000000 1.1298207316E+00 1.6241254500E+04 +5957.000000 1.1296986976E+00 1.6238529000E+04 +5956.000000 1.1295764939E+00 1.6235803500E+04 +5955.000000 1.1294541224E+00 1.6233078000E+04 +5954.000000 1.1293315848E+00 1.6230352500E+04 +5953.000000 1.1292088832E+00 1.6227627000E+04 +5952.000000 1.1290860193E+00 1.6224901500E+04 +5951.000000 1.1289629950E+00 1.6222176000E+04 +5950.000000 1.1288398113E+00 1.6219450500E+04 +5949.000000 1.1287164491E+00 1.6216725000E+04 +5948.000000 1.1285929324E+00 1.6213999500E+04 +5947.000000 1.1284692633E+00 1.6211274000E+04 +5946.000000 1.1283454441E+00 1.6208548500E+04 +5945.000000 1.1282214767E+00 1.6205823000E+04 +5944.000000 1.1280973633E+00 1.6203097500E+04 +5943.000000 1.1279731061E+00 1.6200372000E+04 +5942.000000 1.1278487071E+00 1.6197646500E+04 +5941.000000 1.1277241687E+00 1.6194921000E+04 +5940.000000 1.1275994927E+00 1.6192195500E+04 +5939.000000 1.1274746815E+00 1.6189470000E+04 +5938.000000 1.1273497371E+00 1.6186744500E+04 +5937.000000 1.1272246618E+00 1.6184019000E+04 +5936.000000 1.1270994576E+00 1.6181293500E+04 +5935.000000 1.1269741267E+00 1.6178568000E+04 +5934.000000 1.1268486712E+00 1.6175842500E+04 +5933.000000 1.1267230933E+00 1.6173117000E+04 +5932.000000 1.1265973952E+00 1.6170391500E+04 +5931.000000 1.1264715790E+00 1.6167666000E+04 +5930.000000 1.1263456469E+00 1.6164940500E+04 +5929.000000 1.1262196011E+00 1.6162215000E+04 +5928.000000 1.1260934436E+00 1.6159489500E+04 +5927.000000 1.1259671768E+00 1.6156764000E+04 +5926.000000 1.1258407982E+00 1.6154038500E+04 +5925.000000 1.1257143037E+00 1.6151313000E+04 +5924.000000 1.1255877064E+00 1.6148587500E+04 +5923.000000 1.1254610088E+00 1.6145862000E+04 +5922.000000 1.1253342132E+00 1.6143136500E+04 +5921.000000 1.1252073219E+00 1.6140411000E+04 +5920.000000 1.1250803373E+00 1.6137685500E+04 +5919.000000 1.1249532618E+00 1.6134960000E+04 +5918.000000 1.1248260976E+00 1.6132234500E+04 +5917.000000 1.1246988472E+00 1.6129509000E+04 +5916.000000 1.1245715129E+00 1.6126783500E+04 +5915.000000 1.1244440970E+00 1.6124058000E+04 +5914.000000 1.1243166020E+00 1.6121332500E+04 +5913.000000 1.1241890302E+00 1.6118607000E+04 +5912.000000 1.1240613839E+00 1.6115881500E+04 +5911.000000 1.1239336655E+00 1.6113156000E+04 +5910.000000 1.1238058775E+00 1.6110430500E+04 +5909.000000 1.1236780221E+00 1.6107705000E+04 +5908.000000 1.1235501018E+00 1.6104979500E+04 +5907.000000 1.1234221190E+00 1.6102254000E+04 +5906.000000 1.1232940759E+00 1.6099528500E+04 +5905.000000 1.1231659751E+00 1.6096803000E+04 +5904.000000 1.1230378188E+00 1.6094077500E+04 +5903.000000 1.1229096095E+00 1.6091352000E+04 +5902.000000 1.1227813456E+00 1.6088626500E+04 +5901.000000 1.1226530310E+00 1.6085901000E+04 +5900.000000 1.1225246707E+00 1.6083175500E+04 +5899.000000 1.1223962671E+00 1.6080450000E+04 +5898.000000 1.1222678228E+00 1.6077724500E+04 +5897.000000 1.1221393401E+00 1.6074999000E+04 +5896.000000 1.1220108217E+00 1.6072273500E+04 +5895.000000 1.1218822698E+00 1.6069548000E+04 +5894.000000 1.1217536872E+00 1.6066822500E+04 +5893.000000 1.1216250761E+00 1.6064097000E+04 +5892.000000 1.1214964391E+00 1.6061371500E+04 +5891.000000 1.1213677787E+00 1.6058646000E+04 +5890.000000 1.1212390974E+00 1.6055920500E+04 +5889.000000 1.1211103977E+00 1.6053195000E+04 +5888.000000 1.1209816821E+00 1.6050469500E+04 +5887.000000 1.1208529531E+00 1.6047744000E+04 +5886.000000 1.1207242131E+00 1.6045018500E+04 +5885.000000 1.1205954647E+00 1.6042293000E+04 +5884.000000 1.1204667104E+00 1.6039567500E+04 +5883.000000 1.1203379528E+00 1.6036842000E+04 +5882.000000 1.1202091942E+00 1.6034116500E+04 +5881.000000 1.1200804373E+00 1.6031391000E+04 +5880.000000 1.1199516845E+00 1.6028665500E+04 +5879.000000 1.1198229386E+00 1.6025940000E+04 +5878.000000 1.1196942048E+00 1.6023214500E+04 +5877.000000 1.1195654827E+00 1.6020489000E+04 +5876.000000 1.1194367748E+00 1.6017763500E+04 +5875.000000 1.1193080835E+00 1.6015038000E+04 +5874.000000 1.1191794115E+00 1.6012312500E+04 +5873.000000 1.1190507611E+00 1.6009587000E+04 +5872.000000 1.1189221349E+00 1.6006861500E+04 +5871.000000 1.1187935353E+00 1.6004136000E+04 +5870.000000 1.1186649650E+00 1.6001410500E+04 +5869.000000 1.1185364264E+00 1.5998685000E+04 +5868.000000 1.1184079220E+00 1.5995959500E+04 +5867.000000 1.1182794543E+00 1.5993234000E+04 +5866.000000 1.1181510259E+00 1.5990508500E+04 +5865.000000 1.1180226393E+00 1.5987783000E+04 +5864.000000 1.1178942970E+00 1.5985057500E+04 +5863.000000 1.1177660016E+00 1.5982332000E+04 +5862.000000 1.1176377555E+00 1.5979606500E+04 +5861.000000 1.1175095612E+00 1.5976881000E+04 +5860.000000 1.1173814215E+00 1.5974155500E+04 +5859.000000 1.1172533387E+00 1.5971430000E+04 +5858.000000 1.1171253154E+00 1.5968704500E+04 +5857.000000 1.1169973541E+00 1.5965979000E+04 +5856.000000 1.1168694575E+00 1.5963253500E+04 +5855.000000 1.1167416354E+00 1.5960528000E+04 +5854.000000 1.1166138882E+00 1.5957802500E+04 +5853.000000 1.1164862130E+00 1.5955077000E+04 +5852.000000 1.1163586123E+00 1.5952351500E+04 +5851.000000 1.1162310884E+00 1.5949626000E+04 +5850.000000 1.1161036439E+00 1.5946900500E+04 +5849.000000 1.1159762810E+00 1.5944175000E+04 +5848.000000 1.1158490023E+00 1.5941449500E+04 +5847.000000 1.1157218102E+00 1.5938724000E+04 +5846.000000 1.1155947070E+00 1.5935998500E+04 +5845.000000 1.1154676954E+00 1.5933273000E+04 +5844.000000 1.1153407775E+00 1.5930547500E+04 +5843.000000 1.1152139561E+00 1.5927822000E+04 +5842.000000 1.1150872333E+00 1.5925096500E+04 +5841.000000 1.1149606118E+00 1.5922371000E+04 +5840.000000 1.1148340939E+00 1.5919645500E+04 +5839.000000 1.1147076821E+00 1.5916920000E+04 +5838.000000 1.1145813789E+00 1.5914194500E+04 +5837.000000 1.1144551866E+00 1.5911469000E+04 +5836.000000 1.1143291078E+00 1.5908743500E+04 +5835.000000 1.1142031450E+00 1.5906018000E+04 +5834.000000 1.1140773005E+00 1.5903292500E+04 +5833.000000 1.1139515769E+00 1.5900567000E+04 +5832.000000 1.1138259809E+00 1.5897841500E+04 +5831.000000 1.1137005276E+00 1.5895116000E+04 +5830.000000 1.1135752023E+00 1.5892390500E+04 +5829.000000 1.1134500072E+00 1.5889665000E+04 +5828.000000 1.1133249445E+00 1.5886939500E+04 +5827.000000 1.1132000165E+00 1.5884214000E+04 +5826.000000 1.1130752255E+00 1.5881488500E+04 +5825.000000 1.1129505737E+00 1.5878763000E+04 +5824.000000 1.1128260633E+00 1.5876037500E+04 +5823.000000 1.1127016966E+00 1.5873312000E+04 +5822.000000 1.1125774759E+00 1.5870586500E+04 +5821.000000 1.1124534034E+00 1.5867861000E+04 +5820.000000 1.1123294813E+00 1.5865135500E+04 +5819.000000 1.1122057120E+00 1.5862410000E+04 +5818.000000 1.1120820977E+00 1.5859684500E+04 +5817.000000 1.1119586406E+00 1.5856959000E+04 +5816.000000 1.1118353431E+00 1.5854233500E+04 +5815.000000 1.1117122073E+00 1.5851508000E+04 +5814.000000 1.1115892357E+00 1.5848782500E+04 +5813.000000 1.1114664304E+00 1.5846057000E+04 +5812.000000 1.1113437937E+00 1.5843331500E+04 +5811.000000 1.1112213279E+00 1.5840606000E+04 +5810.000000 1.1110990354E+00 1.5837880500E+04 +5809.000000 1.1109769183E+00 1.5835155000E+04 +5808.000000 1.1108550049E+00 1.5832429500E+04 +5807.000000 1.1107332737E+00 1.5829704000E+04 +5806.000000 1.1106117241E+00 1.5826978500E+04 +5805.000000 1.1104903584E+00 1.5824253000E+04 +5804.000000 1.1103691783E+00 1.5821527500E+04 +5803.000000 1.1102481859E+00 1.5818802000E+04 +5802.000000 1.1101273832E+00 1.5816076500E+04 +5801.000000 1.1100067721E+00 1.5813351000E+04 +5800.000000 1.1098863547E+00 1.5810625500E+04 +5799.000000 1.1097661330E+00 1.5807900000E+04 +5798.000000 1.1096461089E+00 1.5805174500E+04 +5797.000000 1.1095262844E+00 1.5802449000E+04 +5796.000000 1.1094066615E+00 1.5799723500E+04 +5795.000000 1.1092872423E+00 1.5796998000E+04 +5794.000000 1.1091680287E+00 1.5794272500E+04 +5793.000000 1.1090490228E+00 1.5791547000E+04 +5792.000000 1.1089302264E+00 1.5788821500E+04 +5791.000000 1.1088116417E+00 1.5786096000E+04 +5790.000000 1.1086932707E+00 1.5783370500E+04 +5789.000000 1.1085751154E+00 1.5780645000E+04 +5788.000000 1.1084571777E+00 1.5777919500E+04 +5787.000000 1.1083394597E+00 1.5775194000E+04 +5786.000000 1.1082219634E+00 1.5772468500E+04 +5785.000000 1.1081047150E+00 1.5769743000E+04 +5784.000000 1.1079877012E+00 1.5767017500E+04 +5783.000000 1.1078709145E+00 1.5764292000E+04 +5782.000000 1.1077543566E+00 1.5761566500E+04 +5781.000000 1.1076380292E+00 1.5758841000E+04 +5780.000000 1.1075219339E+00 1.5756115500E+04 +5779.000000 1.1074060723E+00 1.5753390000E+04 +5778.000000 1.1072904461E+00 1.5750664500E+04 +5777.000000 1.1071750571E+00 1.5747939000E+04 +5776.000000 1.1070599067E+00 1.5745213500E+04 +5775.000000 1.1069449968E+00 1.5742488000E+04 +5774.000000 1.1068303289E+00 1.5739762500E+04 +5773.000000 1.1067159048E+00 1.5737037000E+04 +5772.000000 1.1066017261E+00 1.5734311500E+04 +5771.000000 1.1064877944E+00 1.5731586000E+04 +5770.000000 1.1063741115E+00 1.5728860500E+04 +5769.000000 1.1062606790E+00 1.5726135000E+04 +5768.000000 1.1061474986E+00 1.5723409500E+04 +5767.000000 1.1060345720E+00 1.5720684000E+04 +5766.000000 1.1059219009E+00 1.5717958500E+04 +5765.000000 1.1058094869E+00 1.5715233000E+04 +5764.000000 1.1056973317E+00 1.5712507500E+04 +5763.000000 1.1055854370E+00 1.5709782000E+04 +5762.000000 1.1054738269E+00 1.5707056500E+04 +5761.000000 1.1053624939E+00 1.5704331000E+04 +5760.000000 1.1052514258E+00 1.5701605500E+04 +5759.000000 1.1051406239E+00 1.5698880000E+04 +5758.000000 1.1050300895E+00 1.5696154500E+04 +5757.000000 1.1049198238E+00 1.5693429000E+04 +5756.000000 1.1048098283E+00 1.5690703500E+04 +5755.000000 1.1047001040E+00 1.5687978000E+04 +5754.000000 1.1045906524E+00 1.5685252500E+04 +5753.000000 1.1044814748E+00 1.5682527000E+04 +5752.000000 1.1043725723E+00 1.5679801500E+04 +5751.000000 1.1042639464E+00 1.5677076000E+04 +5750.000000 1.1041555983E+00 1.5674350500E+04 +5749.000000 1.1040475294E+00 1.5671625000E+04 +5748.000000 1.1039397408E+00 1.5668899500E+04 +5747.000000 1.1038322340E+00 1.5666174000E+04 +5746.000000 1.1037250102E+00 1.5663448500E+04 +5745.000000 1.1036180707E+00 1.5660723000E+04 +5744.000000 1.1035114168E+00 1.5657997500E+04 +5743.000000 1.1034050499E+00 1.5655272000E+04 +5742.000000 1.1032989712E+00 1.5652546500E+04 +5741.000000 1.1031931820E+00 1.5649821000E+04 +5740.000000 1.1030876837E+00 1.5647095500E+04 +5739.000000 1.1029824999E+00 1.5644370000E+04 +5738.000000 1.1028776232E+00 1.5641644500E+04 +5737.000000 1.1027730406E+00 1.5638919000E+04 +5736.000000 1.1026687531E+00 1.5636193500E+04 +5735.000000 1.1025647615E+00 1.5633468000E+04 +5734.000000 1.1024610668E+00 1.5630742500E+04 +5733.000000 1.1023576698E+00 1.5628017000E+04 +5732.000000 1.1022545714E+00 1.5625291500E+04 +5731.000000 1.1021517726E+00 1.5622566000E+04 +5730.000000 1.1020492743E+00 1.5619840500E+04 +5729.000000 1.1019470773E+00 1.5617115000E+04 +5728.000000 1.1018451826E+00 1.5614389500E+04 +5727.000000 1.1017435911E+00 1.5611664000E+04 +5726.000000 1.1016423037E+00 1.5608938500E+04 +5725.000000 1.1015413213E+00 1.5606213000E+04 +5724.000000 1.1014406448E+00 1.5603487500E+04 +5723.000000 1.1013402752E+00 1.5600762000E+04 +5722.000000 1.1012402133E+00 1.5598036500E+04 +5721.000000 1.1011404601E+00 1.5595311000E+04 +5720.000000 1.1010410165E+00 1.5592585500E+04 +5719.000000 1.1009418833E+00 1.5589860000E+04 +5718.000000 1.1008430616E+00 1.5587134500E+04 +5717.000000 1.1007445522E+00 1.5584409000E+04 +5716.000000 1.1006463802E+00 1.5581683500E+04 +5715.000000 1.1005485325E+00 1.5578958000E+04 +5714.000000 1.1004509992E+00 1.5576232500E+04 +5713.000000 1.1003537808E+00 1.5573507000E+04 +5712.000000 1.1002568780E+00 1.5570781500E+04 +5711.000000 1.1001602911E+00 1.5568056000E+04 +5710.000000 1.1000640208E+00 1.5565330500E+04 +5709.000000 1.0999680675E+00 1.5562605000E+04 +5708.000000 1.0998724318E+00 1.5559879500E+04 +5707.000000 1.0997771142E+00 1.5557154000E+04 +5706.000000 1.0996821153E+00 1.5554428500E+04 +5705.000000 1.0995874355E+00 1.5551703000E+04 +5704.000000 1.0994930755E+00 1.5548977500E+04 +5703.000000 1.0993990356E+00 1.5546252000E+04 +5702.000000 1.0993053166E+00 1.5543526500E+04 +5701.000000 1.0992119188E+00 1.5540801000E+04 +5700.000000 1.0991188429E+00 1.5538075500E+04 +5699.000000 1.0990260893E+00 1.5535350000E+04 +5698.000000 1.0989336586E+00 1.5532624500E+04 +5697.000000 1.0988415513E+00 1.5529899000E+04 +5696.000000 1.0987497680E+00 1.5527173500E+04 +5695.000000 1.0986583092E+00 1.5524448000E+04 +5694.000000 1.0985671754E+00 1.5521722500E+04 +5693.000000 1.0984763944E+00 1.5518997000E+04 +5692.000000 1.0983859431E+00 1.5516271500E+04 +5691.000000 1.0982958178E+00 1.5513546000E+04 +5690.000000 1.0982060186E+00 1.5510820500E+04 +5689.000000 1.0981165458E+00 1.5508095000E+04 +5688.000000 1.0980273994E+00 1.5505369500E+04 +5687.000000 1.0979385796E+00 1.5502644000E+04 +5686.000000 1.0978500868E+00 1.5499918500E+04 +5685.000000 1.0977619209E+00 1.5497193000E+04 +5684.000000 1.0976740822E+00 1.5494467500E+04 +5683.000000 1.0975865708E+00 1.5491742000E+04 +5682.000000 1.0974993870E+00 1.5489016500E+04 +5681.000000 1.0974125310E+00 1.5486291000E+04 +5680.000000 1.0973260028E+00 1.5483565500E+04 +5679.000000 1.0972398026E+00 1.5480840000E+04 +5678.000000 1.0971539307E+00 1.5478114500E+04 +5677.000000 1.0970683873E+00 1.5475389000E+04 +5676.000000 1.0969831724E+00 1.5472663500E+04 +5675.000000 1.0968982863E+00 1.5469938000E+04 +5674.000000 1.0968137291E+00 1.5467212500E+04 +5673.000000 1.0967295011E+00 1.5464487000E+04 +5672.000000 1.0966456023E+00 1.5461761500E+04 +5671.000000 1.0965620368E+00 1.5459036000E+04 +5670.000000 1.0964788239E+00 1.5456310500E+04 +5669.000000 1.0963959405E+00 1.5453585000E+04 +5668.000000 1.0963133864E+00 1.5450859500E+04 +5667.000000 1.0962311616E+00 1.5448134000E+04 +5666.000000 1.0961492658E+00 1.5445408500E+04 +5665.000000 1.0960676989E+00 1.5442683000E+04 +5664.000000 1.0959864609E+00 1.5439957500E+04 +5663.000000 1.0959055515E+00 1.5437232000E+04 +5662.000000 1.0958249706E+00 1.5434506500E+04 +5661.000000 1.0957447181E+00 1.5431781000E+04 +5660.000000 1.0956647939E+00 1.5429055500E+04 +5659.000000 1.0955851978E+00 1.5426330000E+04 +5658.000000 1.0955059297E+00 1.5423604500E+04 +5657.000000 1.0954269894E+00 1.5420879000E+04 +5656.000000 1.0953483768E+00 1.5418153500E+04 +5655.000000 1.0952700917E+00 1.5415428000E+04 +5654.000000 1.0951921341E+00 1.5412702500E+04 +5653.000000 1.0951145038E+00 1.5409977000E+04 +5652.000000 1.0950372006E+00 1.5407251500E+04 +5651.000000 1.0949602244E+00 1.5404526000E+04 +5650.000000 1.0948835751E+00 1.5401800500E+04 +5649.000000 1.0948072526E+00 1.5399075000E+04 +5648.000000 1.0947312674E+00 1.5396349500E+04 +5647.000000 1.0946556195E+00 1.5393624000E+04 +5646.000000 1.0945802975E+00 1.5390898500E+04 +5645.000000 1.0945053010E+00 1.5388173000E+04 +5644.000000 1.0944306297E+00 1.5385447500E+04 +5643.000000 1.0943562831E+00 1.5382722000E+04 +5642.000000 1.0942822609E+00 1.5379996500E+04 +5641.000000 1.0942085626E+00 1.5377271000E+04 +5640.000000 1.0941351878E+00 1.5374545500E+04 +5639.000000 1.0940621362E+00 1.5371820000E+04 +5638.000000 1.0939894073E+00 1.5369094500E+04 +5637.000000 1.0939170007E+00 1.5366369000E+04 +5636.000000 1.0938449161E+00 1.5363643500E+04 +5635.000000 1.0937731531E+00 1.5360918000E+04 +5634.000000 1.0937017111E+00 1.5358192500E+04 +5633.000000 1.0936305899E+00 1.5355467000E+04 +5632.000000 1.0935597890E+00 1.5352741500E+04 +5631.000000 1.0934893081E+00 1.5350016000E+04 +5630.000000 1.0934191466E+00 1.5347290500E+04 +5629.000000 1.0933493043E+00 1.5344565000E+04 +5628.000000 1.0932797807E+00 1.5341839500E+04 +5627.000000 1.0932105754E+00 1.5339114000E+04 +5626.000000 1.0931416879E+00 1.5336388500E+04 +5625.000000 1.0930731337E+00 1.5333663000E+04 +5624.000000 1.0930048972E+00 1.5330937500E+04 +5623.000000 1.0929369770E+00 1.5328212000E+04 +5622.000000 1.0928693726E+00 1.5325486500E+04 +5621.000000 1.0928020832E+00 1.5322761000E+04 +5620.000000 1.0927351083E+00 1.5320035500E+04 +5619.000000 1.0926684472E+00 1.5317310000E+04 +5618.000000 1.0926020995E+00 1.5314584500E+04 +5617.000000 1.0925360644E+00 1.5311859000E+04 +5616.000000 1.0924703413E+00 1.5309133500E+04 +5615.000000 1.0924049296E+00 1.5306408000E+04 +5614.000000 1.0923398288E+00 1.5303682500E+04 +5613.000000 1.0922750382E+00 1.5300957000E+04 +5612.000000 1.0922105572E+00 1.5298231500E+04 +5611.000000 1.0921463852E+00 1.5295506000E+04 +5610.000000 1.0920825215E+00 1.5292780500E+04 +5609.000000 1.0920189656E+00 1.5290055000E+04 +5608.000000 1.0919557168E+00 1.5287329500E+04 +5607.000000 1.0918927746E+00 1.5284604000E+04 +5606.000000 1.0918301383E+00 1.5281878500E+04 +5605.000000 1.0917678072E+00 1.5279153000E+04 +5604.000000 1.0917057808E+00 1.5276427500E+04 +5603.000000 1.0916440641E+00 1.5273702000E+04 +5602.000000 1.0915826568E+00 1.5270976500E+04 +5601.000000 1.0915215521E+00 1.5268251000E+04 +5600.000000 1.0914607492E+00 1.5265525500E+04 +5599.000000 1.0914002475E+00 1.5262800000E+04 +5598.000000 1.0913400460E+00 1.5260074500E+04 +5597.000000 1.0912801441E+00 1.5257349000E+04 +5596.000000 1.0912205410E+00 1.5254623500E+04 +5595.000000 1.0911612360E+00 1.5251898000E+04 +5594.000000 1.0911022282E+00 1.5249172500E+04 +5593.000000 1.0910435169E+00 1.5246447000E+04 +5592.000000 1.0909851013E+00 1.5243721500E+04 +5591.000000 1.0909269807E+00 1.5240996000E+04 +5590.000000 1.0908691543E+00 1.5238270500E+04 +5589.000000 1.0908116213E+00 1.5235545000E+04 +5588.000000 1.0907543810E+00 1.5232819500E+04 +5587.000000 1.0906974325E+00 1.5230094000E+04 +5586.000000 1.0906407751E+00 1.5227368500E+04 +5585.000000 1.0905844081E+00 1.5224643000E+04 +5584.000000 1.0905283307E+00 1.5221917500E+04 +5583.000000 1.0904725420E+00 1.5219192000E+04 +5582.000000 1.0904170413E+00 1.5216466500E+04 +5581.000000 1.0903618286E+00 1.5213741000E+04 +5580.000000 1.0903069088E+00 1.5211015500E+04 +5579.000000 1.0902522745E+00 1.5208290000E+04 +5578.000000 1.0901979249E+00 1.5205564500E+04 +5577.000000 1.0901438592E+00 1.5202839000E+04 +5576.000000 1.0900900765E+00 1.5200113500E+04 +5575.000000 1.0900365758E+00 1.5197388000E+04 +5574.000000 1.0899833564E+00 1.5194662500E+04 +5573.000000 1.0899304173E+00 1.5191937000E+04 +5572.000000 1.0898777578E+00 1.5189211500E+04 +5571.000000 1.0898253768E+00 1.5186486000E+04 +5570.000000 1.0897732736E+00 1.5183760500E+04 +5569.000000 1.0897214473E+00 1.5181035000E+04 +5568.000000 1.0896698969E+00 1.5178309500E+04 +5567.000000 1.0896186216E+00 1.5175584000E+04 +5566.000000 1.0895676206E+00 1.5172858500E+04 +5565.000000 1.0895168930E+00 1.5170133000E+04 +5564.000000 1.0894664378E+00 1.5167407500E+04 +5563.000000 1.0894162541E+00 1.5164682000E+04 +5562.000000 1.0893663412E+00 1.5161956500E+04 +5561.000000 1.0893166982E+00 1.5159231000E+04 +5560.000000 1.0892673240E+00 1.5156505500E+04 +5559.000000 1.0892182179E+00 1.5153780000E+04 +5558.000000 1.0891693817E+00 1.5151054500E+04 +5557.000000 1.0891208124E+00 1.5148329000E+04 +5556.000000 1.0890725084E+00 1.5145603500E+04 +5555.000000 1.0890244687E+00 1.5142878000E+04 +5554.000000 1.0889766925E+00 1.5140152500E+04 +5553.000000 1.0889291788E+00 1.5137427000E+04 +5552.000000 1.0888819267E+00 1.5134701500E+04 +5551.000000 1.0888349353E+00 1.5131976000E+04 +5550.000000 1.0887882036E+00 1.5129250500E+04 +5549.000000 1.0887417306E+00 1.5126525000E+04 +5548.000000 1.0886955155E+00 1.5123799500E+04 +5547.000000 1.0886495573E+00 1.5121074000E+04 +5546.000000 1.0886038551E+00 1.5118348500E+04 +5545.000000 1.0885584079E+00 1.5115623000E+04 +5544.000000 1.0885132148E+00 1.5112897500E+04 +5543.000000 1.0884682748E+00 1.5110172000E+04 +5542.000000 1.0884235870E+00 1.5107446500E+04 +5541.000000 1.0883791504E+00 1.5104721000E+04 +5540.000000 1.0883349642E+00 1.5101995500E+04 +5539.000000 1.0882910273E+00 1.5099270000E+04 +5538.000000 1.0882473388E+00 1.5096544500E+04 +5537.000000 1.0882038978E+00 1.5093819000E+04 +5536.000000 1.0881607034E+00 1.5091093500E+04 +5535.000000 1.0881177546E+00 1.5088368000E+04 +5534.000000 1.0880750504E+00 1.5085642500E+04 +5533.000000 1.0880325898E+00 1.5082917000E+04 +5532.000000 1.0879903720E+00 1.5080191500E+04 +5531.000000 1.0879483958E+00 1.5077466000E+04 +5530.000000 1.0879066605E+00 1.5074740500E+04 +5529.000000 1.0878651649E+00 1.5072015000E+04 +5528.000000 1.0878239081E+00 1.5069289500E+04 +5527.000000 1.0877828893E+00 1.5066564000E+04 +5526.000000 1.0877421073E+00 1.5063838500E+04 +5525.000000 1.0877015613E+00 1.5061113000E+04 +5524.000000 1.0876612503E+00 1.5058387500E+04 +5523.000000 1.0876211733E+00 1.5055662000E+04 +5522.000000 1.0875813293E+00 1.5052936500E+04 +5521.000000 1.0875417175E+00 1.5050211000E+04 +5520.000000 1.0875023367E+00 1.5047485500E+04 +5519.000000 1.0874631860E+00 1.5044760000E+04 +5518.000000 1.0874242646E+00 1.5042034500E+04 +5517.000000 1.0873855713E+00 1.5039309000E+04 +5516.000000 1.0873471052E+00 1.5036583500E+04 +5515.000000 1.0873088653E+00 1.5033858000E+04 +5514.000000 1.0872708496E+00 1.5031132500E+04 +5513.000000 1.0872330570E+00 1.5028407000E+04 +5512.000000 1.0871954878E+00 1.5025681500E+04 +5511.000000 1.0871581410E+00 1.5022956000E+04 +5510.000000 1.0871210156E+00 1.5020230500E+04 +5509.000000 1.0870841107E+00 1.5017505000E+04 +5508.000000 1.0870474253E+00 1.5014779500E+04 +5507.000000 1.0870109585E+00 1.5012054000E+04 +5506.000000 1.0869747093E+00 1.5009328500E+04 +5505.000000 1.0869386768E+00 1.5006603000E+04 +5504.000000 1.0869028599E+00 1.5003877500E+04 +5503.000000 1.0868672577E+00 1.5001152000E+04 +5502.000000 1.0868318694E+00 1.4998426500E+04 +5501.000000 1.0867966938E+00 1.4995701000E+04 +5500.000000 1.0867617300E+00 1.4992975500E+04 +5499.000000 1.0867269771E+00 1.4990250000E+04 +5498.000000 1.0866924341E+00 1.4987524500E+04 +5497.000000 1.0866581001E+00 1.4984799000E+04 +5496.000000 1.0866239740E+00 1.4982073500E+04 +5495.000000 1.0865900549E+00 1.4979348000E+04 +5494.000000 1.0865563418E+00 1.4976622500E+04 +5493.000000 1.0865228337E+00 1.4973897000E+04 +5492.000000 1.0864895277E+00 1.4971171500E+04 +5491.000000 1.0864564228E+00 1.4968446000E+04 +5490.000000 1.0864235201E+00 1.4965720500E+04 +5489.000000 1.0863908187E+00 1.4962995000E+04 +5488.000000 1.0863583176E+00 1.4960269500E+04 +5487.000000 1.0863260159E+00 1.4957544000E+04 +5486.000000 1.0862939127E+00 1.4954818500E+04 +5485.000000 1.0862620071E+00 1.4952093000E+04 +5484.000000 1.0862302981E+00 1.4949367500E+04 +5483.000000 1.0861987847E+00 1.4946642000E+04 +5482.000000 1.0861674662E+00 1.4943916500E+04 +5481.000000 1.0861363414E+00 1.4941191000E+04 +5480.000000 1.0861054095E+00 1.4938465500E+04 +5479.000000 1.0860746695E+00 1.4935740000E+04 +5478.000000 1.0860441206E+00 1.4933014500E+04 +5477.000000 1.0860137617E+00 1.4930289000E+04 +5476.000000 1.0859835919E+00 1.4927563500E+04 +5475.000000 1.0859536103E+00 1.4924838000E+04 +5474.000000 1.0859238160E+00 1.4922112500E+04 +5473.000000 1.0858942079E+00 1.4919387000E+04 +5472.000000 1.0858647852E+00 1.4916661500E+04 +5471.000000 1.0858355469E+00 1.4913936000E+04 +5470.000000 1.0858064890E+00 1.4911210500E+04 +5469.000000 1.0857776114E+00 1.4908485000E+04 +5468.000000 1.0857489155E+00 1.4905759500E+04 +5467.000000 1.0857204004E+00 1.4903034000E+04 +5466.000000 1.0856920651E+00 1.4900308500E+04 +5465.000000 1.0856639088E+00 1.4897583000E+04 +5464.000000 1.0856359307E+00 1.4894857500E+04 +5463.000000 1.0856081298E+00 1.4892132000E+04 +5462.000000 1.0855805052E+00 1.4889406500E+04 +5461.000000 1.0855530561E+00 1.4886681000E+04 +5460.000000 1.0855257815E+00 1.4883955500E+04 +5459.000000 1.0854986806E+00 1.4881230000E+04 +5458.000000 1.0854717524E+00 1.4878504500E+04 +5457.000000 1.0854449962E+00 1.4875779000E+04 +5456.000000 1.0854184109E+00 1.4873053500E+04 +5455.000000 1.0853919957E+00 1.4870328000E+04 +5454.000000 1.0853657496E+00 1.4867602500E+04 +5453.000000 1.0853396719E+00 1.4864877000E+04 +5452.000000 1.0853137615E+00 1.4862151500E+04 +5451.000000 1.0852880176E+00 1.4859426000E+04 +5450.000000 1.0852624394E+00 1.4856700500E+04 +5449.000000 1.0852370258E+00 1.4853975000E+04 +5448.000000 1.0852117715E+00 1.4851249500E+04 +5447.000000 1.0851866786E+00 1.4848524000E+04 +5446.000000 1.0851617478E+00 1.4845798500E+04 +5445.000000 1.0851369782E+00 1.4843073000E+04 +5444.000000 1.0851123691E+00 1.4840347500E+04 +5443.000000 1.0850879195E+00 1.4837622000E+04 +5442.000000 1.0850636288E+00 1.4834896500E+04 +5441.000000 1.0850394960E+00 1.4832171000E+04 +5440.000000 1.0850155202E+00 1.4829445500E+04 +5439.000000 1.0849917008E+00 1.4826720000E+04 +5438.000000 1.0849680367E+00 1.4823994500E+04 +5437.000000 1.0849445272E+00 1.4821269000E+04 +5436.000000 1.0849211715E+00 1.4818543500E+04 +5435.000000 1.0848979687E+00 1.4815818000E+04 +5434.000000 1.0848749180E+00 1.4813092500E+04 +5433.000000 1.0848520185E+00 1.4810367000E+04 +5432.000000 1.0848292693E+00 1.4807641500E+04 +5431.000000 1.0848066697E+00 1.4804916000E+04 +5430.000000 1.0847842188E+00 1.4802190500E+04 +5429.000000 1.0847619157E+00 1.4799465000E+04 +5428.000000 1.0847397596E+00 1.4796739500E+04 +5427.000000 1.0847177497E+00 1.4794014000E+04 +5426.000000 1.0846958788E+00 1.4791288500E+04 +5425.000000 1.0846741523E+00 1.4788563000E+04 +5424.000000 1.0846525696E+00 1.4785837500E+04 +5423.000000 1.0846311298E+00 1.4783112000E+04 +5422.000000 1.0846098323E+00 1.4780386500E+04 +5421.000000 1.0845886762E+00 1.4777661000E+04 +5420.000000 1.0845676608E+00 1.4774935500E+04 +5419.000000 1.0845467853E+00 1.4772210000E+04 +5418.000000 1.0845260489E+00 1.4769484500E+04 +5417.000000 1.0845054508E+00 1.4766759000E+04 +5416.000000 1.0844849904E+00 1.4764033500E+04 +5415.000000 1.0844646667E+00 1.4761308000E+04 +5414.000000 1.0844444790E+00 1.4758582500E+04 +5413.000000 1.0844244266E+00 1.4755857000E+04 +5412.000000 1.0844045086E+00 1.4753131500E+04 +5411.000000 1.0843847243E+00 1.4750406000E+04 +5410.000000 1.0843650729E+00 1.4747680500E+04 +5409.000000 1.0843455536E+00 1.4744955000E+04 +5408.000000 1.0843261656E+00 1.4742229500E+04 +5407.000000 1.0843069081E+00 1.4739504000E+04 +5406.000000 1.0842877805E+00 1.4736778500E+04 +5405.000000 1.0842687798E+00 1.4734053000E+04 +5404.000000 1.0842499028E+00 1.4731327500E+04 +5403.000000 1.0842311533E+00 1.4728602000E+04 +5402.000000 1.0842125306E+00 1.4725876500E+04 +5401.000000 1.0841940340E+00 1.4723151000E+04 +5400.000000 1.0841756628E+00 1.4720425500E+04 +5399.000000 1.0841574163E+00 1.4717700000E+04 +5398.000000 1.0841392937E+00 1.4714974500E+04 +5397.000000 1.0841212943E+00 1.4712249000E+04 +5396.000000 1.0841034176E+00 1.4709523500E+04 +5395.000000 1.0840856626E+00 1.4706798000E+04 +5394.000000 1.0840680288E+00 1.4704072500E+04 +5393.000000 1.0840505154E+00 1.4701347000E+04 +5392.000000 1.0840331216E+00 1.4698621500E+04 +5391.000000 1.0840158469E+00 1.4695896000E+04 +5390.000000 1.0839986904E+00 1.4693170500E+04 +5389.000000 1.0839816514E+00 1.4690445000E+04 +5388.000000 1.0839647293E+00 1.4687719500E+04 +5387.000000 1.0839479233E+00 1.4684994000E+04 +5386.000000 1.0839312327E+00 1.4682268500E+04 +5385.000000 1.0839146568E+00 1.4679543000E+04 +5384.000000 1.0838981948E+00 1.4676817500E+04 +5383.000000 1.0838818414E+00 1.4674092000E+04 +5382.000000 1.0838655988E+00 1.4671366500E+04 +5381.000000 1.0838494682E+00 1.4668641000E+04 +5380.000000 1.0838334489E+00 1.4665915500E+04 +5379.000000 1.0838175402E+00 1.4663190000E+04 +5378.000000 1.0838017415E+00 1.4660464500E+04 +5377.000000 1.0837860521E+00 1.4657739000E+04 +5376.000000 1.0837704715E+00 1.4655013500E+04 +5375.000000 1.0837549989E+00 1.4652288000E+04 +5374.000000 1.0837396337E+00 1.4649562500E+04 +5373.000000 1.0837243754E+00 1.4646837000E+04 +5372.000000 1.0837092231E+00 1.4644111500E+04 +5371.000000 1.0836941763E+00 1.4641386000E+04 +5370.000000 1.0836792343E+00 1.4638660500E+04 +5369.000000 1.0836643965E+00 1.4635935000E+04 +5368.000000 1.0836496623E+00 1.4633209500E+04 +5367.000000 1.0836350309E+00 1.4630484000E+04 +5366.000000 1.0836205017E+00 1.4627758500E+04 +5365.000000 1.0836060741E+00 1.4625033000E+04 +5364.000000 1.0835917474E+00 1.4622307500E+04 +5363.000000 1.0835775210E+00 1.4619582000E+04 +5362.000000 1.0835633927E+00 1.4616856500E+04 +5361.000000 1.0835493588E+00 1.4614131000E+04 +5360.000000 1.0835354233E+00 1.4611405500E+04 +5359.000000 1.0835215856E+00 1.4608680000E+04 +5358.000000 1.0835078451E+00 1.4605954500E+04 +5357.000000 1.0834942013E+00 1.4603229000E+04 +5356.000000 1.0834806535E+00 1.4600503500E+04 +5355.000000 1.0834672012E+00 1.4597778000E+04 +5354.000000 1.0834538439E+00 1.4595052500E+04 +5353.000000 1.0834405808E+00 1.4592327000E+04 +5352.000000 1.0834274115E+00 1.4589601500E+04 +5351.000000 1.0834143354E+00 1.4586876000E+04 +5350.000000 1.0834013518E+00 1.4584150500E+04 +5349.000000 1.0833884603E+00 1.4581425000E+04 +5348.000000 1.0833756601E+00 1.4578699500E+04 +5347.000000 1.0833629508E+00 1.4575974000E+04 +5346.000000 1.0833503317E+00 1.4573248500E+04 +5345.000000 1.0833378022E+00 1.4570523000E+04 +5344.000000 1.0833253618E+00 1.4567797500E+04 +5343.000000 1.0833130099E+00 1.4565072000E+04 +5342.000000 1.0833007459E+00 1.4562346500E+04 +5341.000000 1.0832885691E+00 1.4559621000E+04 +5340.000000 1.0832764744E+00 1.4556895500E+04 +5339.000000 1.0832644648E+00 1.4554170000E+04 +5338.000000 1.0832525409E+00 1.4551444500E+04 +5337.000000 1.0832407021E+00 1.4548719000E+04 +5336.000000 1.0832289479E+00 1.4545993500E+04 +5335.000000 1.0832172778E+00 1.4543268000E+04 +5334.000000 1.0832056912E+00 1.4540542500E+04 +5333.000000 1.0831941878E+00 1.4537817000E+04 +5332.000000 1.0831827668E+00 1.4535091500E+04 +5331.000000 1.0831714279E+00 1.4532366000E+04 +5330.000000 1.0831601704E+00 1.4529640500E+04 +5329.000000 1.0831489939E+00 1.4526915000E+04 +5328.000000 1.0831378979E+00 1.4524189500E+04 +5327.000000 1.0831268817E+00 1.4521464000E+04 +5326.000000 1.0831159450E+00 1.4518738500E+04 +5325.000000 1.0831050871E+00 1.4516013000E+04 +5324.000000 1.0830943076E+00 1.4513287500E+04 +5323.000000 1.0830836058E+00 1.4510562000E+04 +5322.000000 1.0830729814E+00 1.4507836500E+04 +5321.000000 1.0830624337E+00 1.4505111000E+04 +5320.000000 1.0830519622E+00 1.4502385500E+04 +5319.000000 1.0830415639E+00 1.4499660000E+04 +5318.000000 1.0830312381E+00 1.4496934500E+04 +5317.000000 1.0830209870E+00 1.4494209000E+04 +5316.000000 1.0830108102E+00 1.4491483500E+04 +5315.000000 1.0830007072E+00 1.4488758000E+04 +5314.000000 1.0829906776E+00 1.4486032500E+04 +5313.000000 1.0829807209E+00 1.4483307000E+04 +5312.000000 1.0829708366E+00 1.4480581500E+04 +5311.000000 1.0829610243E+00 1.4477856000E+04 +5310.000000 1.0829512835E+00 1.4475130500E+04 +5309.000000 1.0829416137E+00 1.4472405000E+04 +5308.000000 1.0829320145E+00 1.4469679500E+04 +5307.000000 1.0829224853E+00 1.4466954000E+04 +5306.000000 1.0829130259E+00 1.4464228500E+04 +5305.000000 1.0829036356E+00 1.4461503000E+04 +5304.000000 1.0828943140E+00 1.4458777500E+04 +5303.000000 1.0828850606E+00 1.4456052000E+04 +5302.000000 1.0828758750E+00 1.4453326500E+04 +5301.000000 1.0828667567E+00 1.4450601000E+04 +5300.000000 1.0828577052E+00 1.4447875500E+04 +5299.000000 1.0828487201E+00 1.4445150000E+04 +5298.000000 1.0828397996E+00 1.4442424500E+04 +5297.000000 1.0828309411E+00 1.4439699000E+04 +5296.000000 1.0828221475E+00 1.4436973500E+04 +5295.000000 1.0828134185E+00 1.4434248000E+04 +5294.000000 1.0828047538E+00 1.4431522500E+04 +5293.000000 1.0827961528E+00 1.4428797000E+04 +5292.000000 1.0827876152E+00 1.4426071500E+04 +5291.000000 1.0827791406E+00 1.4423346000E+04 +5290.000000 1.0827707286E+00 1.4420620500E+04 +5289.000000 1.0827623787E+00 1.4417895000E+04 +5288.000000 1.0827540905E+00 1.4415169500E+04 +5287.000000 1.0827458637E+00 1.4412444000E+04 +5286.000000 1.0827376977E+00 1.4409718500E+04 +5285.000000 1.0827295923E+00 1.4406993000E+04 +5284.000000 1.0827215470E+00 1.4404267500E+04 +5283.000000 1.0827135613E+00 1.4401542000E+04 +5282.000000 1.0827056349E+00 1.4398816500E+04 +5281.000000 1.0826977673E+00 1.4396091000E+04 +5280.000000 1.0826899582E+00 1.4393365500E+04 +5279.000000 1.0826822070E+00 1.4390640000E+04 +5278.000000 1.0826745135E+00 1.4387914500E+04 +5277.000000 1.0826668767E+00 1.4385189000E+04 +5276.000000 1.0826592927E+00 1.4382463500E+04 +5275.000000 1.0826517652E+00 1.4379738000E+04 +5274.000000 1.0826442937E+00 1.4377012500E+04 +5273.000000 1.0826368779E+00 1.4374287000E+04 +5272.000000 1.0826295174E+00 1.4371561500E+04 +5271.000000 1.0826222118E+00 1.4368836000E+04 +5270.000000 1.0826149609E+00 1.4366110500E+04 +5269.000000 1.0826077642E+00 1.4363385000E+04 +5268.000000 1.0826006213E+00 1.4360659500E+04 +5267.000000 1.0825935320E+00 1.4357934000E+04 +5266.000000 1.0825864957E+00 1.4355208500E+04 +5265.000000 1.0825795123E+00 1.4352483000E+04 +5264.000000 1.0825725813E+00 1.4349757500E+04 +5263.000000 1.0825657023E+00 1.4347032000E+04 +5262.000000 1.0825588750E+00 1.4344306500E+04 +5261.000000 1.0825520990E+00 1.4341581000E+04 +5260.000000 1.0825453740E+00 1.4338855500E+04 +5259.000000 1.0825386996E+00 1.4336130000E+04 +5258.000000 1.0825320753E+00 1.4333404500E+04 +5257.000000 1.0825255009E+00 1.4330679000E+04 +5256.000000 1.0825189759E+00 1.4327953500E+04 +5255.000000 1.0825124962E+00 1.4325228000E+04 +5254.000000 1.0825060653E+00 1.4322502500E+04 +5253.000000 1.0824996829E+00 1.4319777000E+04 +5252.000000 1.0824933487E+00 1.4317051500E+04 +5251.000000 1.0824870623E+00 1.4314326000E+04 +5250.000000 1.0824808234E+00 1.4311600500E+04 +5249.000000 1.0824746317E+00 1.4308875000E+04 +5248.000000 1.0824684870E+00 1.4306149500E+04 +5247.000000 1.0824623887E+00 1.4303424000E+04 +5246.000000 1.0824563368E+00 1.4300698500E+04 +5245.000000 1.0824503307E+00 1.4297973000E+04 +5244.000000 1.0824443703E+00 1.4295247500E+04 +5243.000000 1.0824384551E+00 1.4292522000E+04 +5242.000000 1.0824325849E+00 1.4289796500E+04 +5241.000000 1.0824267594E+00 1.4287071000E+04 +5240.000000 1.0824209781E+00 1.4284345500E+04 +5239.000000 1.0824152409E+00 1.4281620000E+04 +5238.000000 1.0824095474E+00 1.4278894500E+04 +5237.000000 1.0824038972E+00 1.4276169000E+04 +5236.000000 1.0823982900E+00 1.4273443500E+04 +5235.000000 1.0823927254E+00 1.4270718000E+04 +5234.000000 1.0823871999E+00 1.4267992500E+04 +5233.000000 1.0823817165E+00 1.4265267000E+04 +5232.000000 1.0823762749E+00 1.4262541500E+04 +5231.000000 1.0823708749E+00 1.4259816000E+04 +5230.000000 1.0823655161E+00 1.4257090500E+04 +5229.000000 1.0823601984E+00 1.4254365000E+04 +5228.000000 1.0823549213E+00 1.4251639500E+04 +5227.000000 1.0823496847E+00 1.4248914000E+04 +5226.000000 1.0823444883E+00 1.4246188500E+04 +5225.000000 1.0823393317E+00 1.4243463000E+04 +5224.000000 1.0823342147E+00 1.4240737500E+04 +5223.000000 1.0823291371E+00 1.4238012000E+04 +5222.000000 1.0823240984E+00 1.4235286500E+04 +5221.000000 1.0823190985E+00 1.4232561000E+04 +5220.000000 1.0823141371E+00 1.4229835500E+04 +5219.000000 1.0823092139E+00 1.4227110000E+04 +5218.000000 1.0823043286E+00 1.4224384500E+04 +5217.000000 1.0822994809E+00 1.4221659000E+04 +5216.000000 1.0822946706E+00 1.4218933500E+04 +5215.000000 1.0822898973E+00 1.4216208000E+04 +5214.000000 1.0822851603E+00 1.4213482500E+04 +5213.000000 1.0822804572E+00 1.4210757000E+04 +5212.000000 1.0822757904E+00 1.4208031500E+04 +5211.000000 1.0822711596E+00 1.4205306000E+04 +5210.000000 1.0822665646E+00 1.4202580500E+04 +5209.000000 1.0822620051E+00 1.4199855000E+04 +5208.000000 1.0822574809E+00 1.4197129500E+04 +5207.000000 1.0822529917E+00 1.4194404000E+04 +5206.000000 1.0822485373E+00 1.4191678500E+04 +5205.000000 1.0822441174E+00 1.4188953000E+04 +5204.000000 1.0822397318E+00 1.4186227500E+04 +5203.000000 1.0822353804E+00 1.4183502000E+04 +5202.000000 1.0822310627E+00 1.4180776500E+04 +5201.000000 1.0822267785E+00 1.4178051000E+04 +5200.000000 1.0822225278E+00 1.4175325500E+04 +5199.000000 1.0822183100E+00 1.4172600000E+04 +5198.000000 1.0822141251E+00 1.4169874500E+04 +5197.000000 1.0822099728E+00 1.4167149000E+04 +5196.000000 1.0822058528E+00 1.4164423500E+04 +5195.000000 1.0822017650E+00 1.4161698000E+04 +5194.000000 1.0821977089E+00 1.4158972500E+04 +5193.000000 1.0821936836E+00 1.4156247000E+04 +5192.000000 1.0821896878E+00 1.4153521500E+04 +5191.000000 1.0821857232E+00 1.4150796000E+04 +5190.000000 1.0821817895E+00 1.4148070500E+04 +5189.000000 1.0821778865E+00 1.4145345000E+04 +5188.000000 1.0821740140E+00 1.4142619500E+04 +5187.000000 1.0821701718E+00 1.4139894000E+04 +5186.000000 1.0821663597E+00 1.4137168500E+04 +5185.000000 1.0821625775E+00 1.4134443000E+04 +5184.000000 1.0821588249E+00 1.4131717500E+04 +5183.000000 1.0821551018E+00 1.4128992000E+04 +5182.000000 1.0821514079E+00 1.4126266500E+04 +5181.000000 1.0821477430E+00 1.4123541000E+04 +5180.000000 1.0821441070E+00 1.4120815500E+04 +5179.000000 1.0821404995E+00 1.4118090000E+04 +5178.000000 1.0821369203E+00 1.4115364500E+04 +5177.000000 1.0821333694E+00 1.4112639000E+04 +5176.000000 1.0821298464E+00 1.4109913500E+04 +5175.000000 1.0821263511E+00 1.4107188000E+04 +5174.000000 1.0821228833E+00 1.4104462500E+04 +5173.000000 1.0821194428E+00 1.4101737000E+04 +5172.000000 1.0821160281E+00 1.4099011500E+04 +5171.000000 1.0821126392E+00 1.4096286000E+04 +5170.000000 1.0821092770E+00 1.4093560500E+04 +5169.000000 1.0821059414E+00 1.4090835000E+04 +5168.000000 1.0821026321E+00 1.4088109500E+04 +5167.000000 1.0820993489E+00 1.4085384000E+04 +5166.000000 1.0820960917E+00 1.4082658500E+04 +5165.000000 1.0820928603E+00 1.4079933000E+04 +5164.000000 1.0820896545E+00 1.4077207500E+04 +5163.000000 1.0820864740E+00 1.4074482000E+04 +5162.000000 1.0820833188E+00 1.4071756500E+04 +5161.000000 1.0820801886E+00 1.4069031000E+04 +5160.000000 1.0820770833E+00 1.4066305500E+04 +5159.000000 1.0820740026E+00 1.4063580000E+04 +5158.000000 1.0820709465E+00 1.4060854500E+04 +5157.000000 1.0820679146E+00 1.4058129000E+04 +5156.000000 1.0820649068E+00 1.4055403500E+04 +5155.000000 1.0820619229E+00 1.4052678000E+04 +5154.000000 1.0820589627E+00 1.4049952500E+04 +5153.000000 1.0820560261E+00 1.4047227000E+04 +5152.000000 1.0820531128E+00 1.4044501500E+04 +5151.000000 1.0820502208E+00 1.4041776000E+04 +5150.000000 1.0820473517E+00 1.4039050500E+04 +5149.000000 1.0820445054E+00 1.4036325000E+04 +5148.000000 1.0820416818E+00 1.4033599500E+04 +5147.000000 1.0820388807E+00 1.4030874000E+04 +5146.000000 1.0820361020E+00 1.4028148500E+04 +5145.000000 1.0820333455E+00 1.4025423000E+04 +5144.000000 1.0820306110E+00 1.4022697500E+04 +5143.000000 1.0820278984E+00 1.4019972000E+04 +5142.000000 1.0820252075E+00 1.4017246500E+04 +5141.000000 1.0820225382E+00 1.4014521000E+04 +5140.000000 1.0820198903E+00 1.4011795500E+04 +5139.000000 1.0820172636E+00 1.4009070000E+04 +5138.000000 1.0820146580E+00 1.4006344500E+04 +5137.000000 1.0820120733E+00 1.4003619000E+04 +5136.000000 1.0820095093E+00 1.4000893500E+04 +5135.000000 1.0820069660E+00 1.3998168000E+04 +5134.000000 1.0820044431E+00 1.3995442500E+04 +5133.000000 1.0820019404E+00 1.3992717000E+04 +5132.000000 1.0819994578E+00 1.3989991500E+04 +5131.000000 1.0819969946E+00 1.3987266000E+04 +5130.000000 1.0819945499E+00 1.3984540500E+04 +5129.000000 1.0819921250E+00 1.3981815000E+04 +5128.000000 1.0819897195E+00 1.3979089500E+04 +5127.000000 1.0819873334E+00 1.3976364000E+04 +5126.000000 1.0819849665E+00 1.3973638500E+04 +5125.000000 1.0819826187E+00 1.3970913000E+04 +5124.000000 1.0819802899E+00 1.3968187500E+04 +5123.000000 1.0819779799E+00 1.3965462000E+04 +5122.000000 1.0819756885E+00 1.3962736500E+04 +5121.000000 1.0819734157E+00 1.3960011000E+04 +5120.000000 1.0819711613E+00 1.3957285500E+04 +5119.000000 1.0819689252E+00 1.3954560000E+04 +5118.000000 1.0819667071E+00 1.3951834500E+04 +5117.000000 1.0819645070E+00 1.3949109000E+04 +5116.000000 1.0819623248E+00 1.3946383500E+04 +5115.000000 1.0819601602E+00 1.3943658000E+04 +5114.000000 1.0819580132E+00 1.3940932500E+04 +5113.000000 1.0819558837E+00 1.3938207000E+04 +5112.000000 1.0819537714E+00 1.3935481500E+04 +5111.000000 1.0819516762E+00 1.3932756000E+04 +5110.000000 1.0819495966E+00 1.3930030500E+04 +5109.000000 1.0819475338E+00 1.3927305000E+04 +5108.000000 1.0819454876E+00 1.3924579500E+04 +5107.000000 1.0819434581E+00 1.3921854000E+04 +5106.000000 1.0819414452E+00 1.3919128500E+04 +5105.000000 1.0819394486E+00 1.3916403000E+04 +5104.000000 1.0819374682E+00 1.3913677500E+04 +5103.000000 1.0819355040E+00 1.3910952000E+04 +5102.000000 1.0819335559E+00 1.3908226500E+04 +5101.000000 1.0819316236E+00 1.3905501000E+04 +5100.000000 1.0819297071E+00 1.3902775500E+04 +5099.000000 1.0819278063E+00 1.3900050000E+04 +5098.000000 1.0819259211E+00 1.3897324500E+04 +5097.000000 1.0819240512E+00 1.3894599000E+04 +5096.000000 1.0819221967E+00 1.3891873500E+04 +5095.000000 1.0819203573E+00 1.3889148000E+04 +5094.000000 1.0819185330E+00 1.3886422500E+04 +5093.000000 1.0819167236E+00 1.3883697000E+04 +5092.000000 1.0819149291E+00 1.3880971500E+04 +5091.000000 1.0819131492E+00 1.3878246000E+04 +5090.000000 1.0819113833E+00 1.3875520500E+04 +5089.000000 1.0819096311E+00 1.3872795000E+04 +5088.000000 1.0819078933E+00 1.3870069500E+04 +5087.000000 1.0819061697E+00 1.3867344000E+04 +5086.000000 1.0819044603E+00 1.3864618500E+04 +5085.000000 1.0819027649E+00 1.3861893000E+04 +5084.000000 1.0819010835E+00 1.3859167500E+04 +5083.000000 1.0818994159E+00 1.3856442000E+04 +5082.000000 1.0818977620E+00 1.3853716500E+04 +5081.000000 1.0818961218E+00 1.3850991000E+04 +5080.000000 1.0818944950E+00 1.3848265500E+04 +5079.000000 1.0818928817E+00 1.3845540000E+04 +5078.000000 1.0818912817E+00 1.3842814500E+04 +5077.000000 1.0818896949E+00 1.3840089000E+04 +5076.000000 1.0818881213E+00 1.3837363500E+04 +5075.000000 1.0818865606E+00 1.3834638000E+04 +5074.000000 1.0818850128E+00 1.3831912500E+04 +5073.000000 1.0818834778E+00 1.3829187000E+04 +5072.000000 1.0818819555E+00 1.3826461500E+04 +5071.000000 1.0818804458E+00 1.3823736000E+04 +5070.000000 1.0818789483E+00 1.3821010500E+04 +5069.000000 1.0818774623E+00 1.3818285000E+04 +5068.000000 1.0818759886E+00 1.3815559500E+04 +5067.000000 1.0818745270E+00 1.3812834000E+04 +5066.000000 1.0818730775E+00 1.3810108500E+04 +5065.000000 1.0818716401E+00 1.3807383000E+04 +5064.000000 1.0818702146E+00 1.3804657500E+04 +5063.000000 1.0818688009E+00 1.3801932000E+04 +5062.000000 1.0818673990E+00 1.3799206500E+04 +5061.000000 1.0818660087E+00 1.3796481000E+04 +5060.000000 1.0818646300E+00 1.3793755500E+04 +5059.000000 1.0818632627E+00 1.3791030000E+04 +5058.000000 1.0818619069E+00 1.3788304500E+04 +5057.000000 1.0818605623E+00 1.3785579000E+04 +5056.000000 1.0818592290E+00 1.3782853500E+04 +5055.000000 1.0818579068E+00 1.3780128000E+04 +5054.000000 1.0818565956E+00 1.3777402500E+04 +5053.000000 1.0818552953E+00 1.3774677000E+04 +5052.000000 1.0818540059E+00 1.3771951500E+04 +5051.000000 1.0818527272E+00 1.3769226000E+04 +5050.000000 1.0818514592E+00 1.3766500500E+04 +5049.000000 1.0818502008E+00 1.3763775000E+04 +5048.000000 1.0818489529E+00 1.3761049500E+04 +5047.000000 1.0818477154E+00 1.3758324000E+04 +5046.000000 1.0818464882E+00 1.3755598500E+04 +5045.000000 1.0818452713E+00 1.3752873000E+04 +5044.000000 1.0818440645E+00 1.3750147500E+04 +5043.000000 1.0818428679E+00 1.3747422000E+04 +5042.000000 1.0818416813E+00 1.3744696500E+04 +5041.000000 1.0818405047E+00 1.3741971000E+04 +5040.000000 1.0818393379E+00 1.3739245500E+04 +5039.000000 1.0818381810E+00 1.3736520000E+04 +5038.000000 1.0818370337E+00 1.3733794500E+04 +5037.000000 1.0818358961E+00 1.3731069000E+04 +5036.000000 1.0818347681E+00 1.3728343500E+04 +5035.000000 1.0818336496E+00 1.3725618000E+04 +5034.000000 1.0818325404E+00 1.3722892500E+04 +5033.000000 1.0818314407E+00 1.3720167000E+04 +5032.000000 1.0818303501E+00 1.3717441500E+04 +5031.000000 1.0818292688E+00 1.3714716000E+04 +5030.000000 1.0818281965E+00 1.3711990500E+04 +5029.000000 1.0818271326E+00 1.3709265000E+04 +5028.000000 1.0818260775E+00 1.3706539500E+04 +5027.000000 1.0818250312E+00 1.3703814000E+04 +5026.000000 1.0818239938E+00 1.3701088500E+04 +5025.000000 1.0818229651E+00 1.3698363000E+04 +5024.000000 1.0818219451E+00 1.3695637500E+04 +5023.000000 1.0818209337E+00 1.3692912000E+04 +5022.000000 1.0818199309E+00 1.3690186500E+04 +5021.000000 1.0818189366E+00 1.3687461000E+04 +5020.000000 1.0818179507E+00 1.3684735500E+04 +5019.000000 1.0818169731E+00 1.3682010000E+04 +5018.000000 1.0818160038E+00 1.3679284500E+04 +5017.000000 1.0818150428E+00 1.3676559000E+04 +5016.000000 1.0818140899E+00 1.3673833500E+04 +5015.000000 1.0818131451E+00 1.3671108000E+04 +5014.000000 1.0818122083E+00 1.3668382500E+04 +5013.000000 1.0818112795E+00 1.3665657000E+04 +5012.000000 1.0818103585E+00 1.3662931500E+04 +5011.000000 1.0818094454E+00 1.3660206000E+04 +5010.000000 1.0818085400E+00 1.3657480500E+04 +5009.000000 1.0818076418E+00 1.3654755000E+04 +5008.000000 1.0818067510E+00 1.3652029500E+04 +5007.000000 1.0818058678E+00 1.3649304000E+04 +5006.000000 1.0818049921E+00 1.3646578500E+04 +5005.000000 1.0818041238E+00 1.3643853000E+04 +5004.000000 1.0818032630E+00 1.3641127500E+04 +5003.000000 1.0818024094E+00 1.3638402000E+04 +5002.000000 1.0818015632E+00 1.3635676500E+04 +5001.000000 1.0818007242E+00 1.3632951000E+04 +5000.000000 1.0817998923E+00 1.3630225500E+04 +4999.000000 1.0817990676E+00 1.3627500000E+04 +4998.000000 1.0817982499E+00 1.3624774500E+04 +4997.000000 1.0817974392E+00 1.3622049000E+04 +4996.000000 1.0817966355E+00 1.3619323500E+04 +4995.000000 1.0817958386E+00 1.3616598000E+04 +4994.000000 1.0817950486E+00 1.3613872500E+04 +4993.000000 1.0817942653E+00 1.3611147000E+04 +4992.000000 1.0817934887E+00 1.3608421500E+04 +4991.000000 1.0817927188E+00 1.3605696000E+04 +4990.000000 1.0817919555E+00 1.3602970500E+04 +4989.000000 1.0817911983E+00 1.3600245000E+04 +4988.000000 1.0817904474E+00 1.3597519500E+04 +4987.000000 1.0817897029E+00 1.3594794000E+04 +4986.000000 1.0817889648E+00 1.3592068500E+04 +4985.000000 1.0817882331E+00 1.3589343000E+04 +4984.000000 1.0817875076E+00 1.3586617500E+04 +4983.000000 1.0817867884E+00 1.3583892000E+04 +4982.000000 1.0817860753E+00 1.3581166500E+04 +4981.000000 1.0817853684E+00 1.3578441000E+04 +4980.000000 1.0817846676E+00 1.3575715500E+04 +4979.000000 1.0817839729E+00 1.3572990000E+04 +4978.000000 1.0817832841E+00 1.3570264500E+04 +4977.000000 1.0817826013E+00 1.3567539000E+04 +4976.000000 1.0817819244E+00 1.3564813500E+04 +4975.000000 1.0817812533E+00 1.3562088000E+04 +4974.000000 1.0817805880E+00 1.3559362500E+04 +4973.000000 1.0817799285E+00 1.3556637000E+04 +4972.000000 1.0817792746E+00 1.3553911500E+04 +4971.000000 1.0817786265E+00 1.3551186000E+04 +4970.000000 1.0817779839E+00 1.3548460500E+04 +4969.000000 1.0817773465E+00 1.3545735000E+04 +4968.000000 1.0817767144E+00 1.3543009500E+04 +4967.000000 1.0817760878E+00 1.3540284000E+04 +4966.000000 1.0817754667E+00 1.3537558500E+04 +4965.000000 1.0817748509E+00 1.3534833000E+04 +4964.000000 1.0817742404E+00 1.3532107500E+04 +4963.000000 1.0817736353E+00 1.3529382000E+04 +4962.000000 1.0817730354E+00 1.3526656500E+04 +4961.000000 1.0817724407E+00 1.3523931000E+04 +4960.000000 1.0817718512E+00 1.3521205500E+04 +4959.000000 1.0817712668E+00 1.3518480000E+04 +4958.000000 1.0817706875E+00 1.3515754500E+04 +4957.000000 1.0817701132E+00 1.3513029000E+04 +4956.000000 1.0817695440E+00 1.3510303500E+04 +4955.000000 1.0817689797E+00 1.3507578000E+04 +4954.000000 1.0817684203E+00 1.3504852500E+04 +4953.000000 1.0817678658E+00 1.3502127000E+04 +4952.000000 1.0817673162E+00 1.3499401500E+04 +4951.000000 1.0817667713E+00 1.3496676000E+04 +4950.000000 1.0817662312E+00 1.3493950500E+04 +4949.000000 1.0817656954E+00 1.3491225000E+04 +4948.000000 1.0817651642E+00 1.3488499500E+04 +4947.000000 1.0817646376E+00 1.3485774000E+04 +4946.000000 1.0817641156E+00 1.3483048500E+04 +4945.000000 1.0817635982E+00 1.3480323000E+04 +4944.000000 1.0817630853E+00 1.3477597500E+04 +4943.000000 1.0817625769E+00 1.3474872000E+04 +4942.000000 1.0817620730E+00 1.3472146500E+04 +4941.000000 1.0817615735E+00 1.3469421000E+04 +4940.000000 1.0817610783E+00 1.3466695500E+04 +4939.000000 1.0817605875E+00 1.3463970000E+04 +4938.000000 1.0817601011E+00 1.3461244500E+04 +4937.000000 1.0817596188E+00 1.3458519000E+04 +4936.000000 1.0817591409E+00 1.3455793500E+04 +4935.000000 1.0817586671E+00 1.3453068000E+04 +4934.000000 1.0817581975E+00 1.3450342500E+04 +4933.000000 1.0817577320E+00 1.3447617000E+04 +4932.000000 1.0817572706E+00 1.3444891500E+04 +4931.000000 1.0817568133E+00 1.3442166000E+04 +4930.000000 1.0817563599E+00 1.3439440500E+04 +4929.000000 1.0817559102E+00 1.3436715000E+04 +4928.000000 1.0817554645E+00 1.3433989500E+04 +4927.000000 1.0817550226E+00 1.3431264000E+04 +4926.000000 1.0817545847E+00 1.3428538500E+04 +4925.000000 1.0817541506E+00 1.3425813000E+04 +4924.000000 1.0817537203E+00 1.3423087500E+04 +4923.000000 1.0817532939E+00 1.3420362000E+04 +4922.000000 1.0817528712E+00 1.3417636500E+04 +4921.000000 1.0817524522E+00 1.3414911000E+04 +4920.000000 1.0817520370E+00 1.3412185500E+04 +4919.000000 1.0817516254E+00 1.3409460000E+04 +4918.000000 1.0817512175E+00 1.3406734500E+04 +4917.000000 1.0817508132E+00 1.3404009000E+04 +4916.000000 1.0817504125E+00 1.3401283500E+04 +4915.000000 1.0817500153E+00 1.3398558000E+04 +4914.000000 1.0817496217E+00 1.3395832500E+04 +4913.000000 1.0817492315E+00 1.3393107000E+04 +4912.000000 1.0817488448E+00 1.3390381500E+04 +4911.000000 1.0817484616E+00 1.3387656000E+04 +4910.000000 1.0817480816E+00 1.3384930500E+04 +4909.000000 1.0817477047E+00 1.3382205000E+04 +4908.000000 1.0817473312E+00 1.3379479500E+04 +4907.000000 1.0817469611E+00 1.3376754000E+04 +4906.000000 1.0817465942E+00 1.3374028500E+04 +4905.000000 1.0817462305E+00 1.3371303000E+04 +4904.000000 1.0817458702E+00 1.3368577500E+04 +4903.000000 1.0817455130E+00 1.3365852000E+04 +4902.000000 1.0817451590E+00 1.3363126500E+04 +4901.000000 1.0817448082E+00 1.3360401000E+04 +4900.000000 1.0817444605E+00 1.3357675500E+04 +4899.000000 1.0817441159E+00 1.3354950000E+04 +4898.000000 1.0817437744E+00 1.3352224500E+04 +4897.000000 1.0817434359E+00 1.3349499000E+04 +4896.000000 1.0817431005E+00 1.3346773500E+04 +4895.000000 1.0817427680E+00 1.3344048000E+04 +4894.000000 1.0817424386E+00 1.3341322500E+04 +4893.000000 1.0817421121E+00 1.3338597000E+04 +4892.000000 1.0817417885E+00 1.3335871500E+04 +4891.000000 1.0817414678E+00 1.3333146000E+04 +4890.000000 1.0817411497E+00 1.3330420500E+04 +4889.000000 1.0817408344E+00 1.3327695000E+04 +4888.000000 1.0817405220E+00 1.3324969500E+04 +4887.000000 1.0817402123E+00 1.3322244000E+04 +4886.000000 1.0817399054E+00 1.3319518500E+04 +4885.000000 1.0817396013E+00 1.3316793000E+04 +4884.000000 1.0817392999E+00 1.3314067500E+04 +4883.000000 1.0817390012E+00 1.3311342000E+04 +4882.000000 1.0817387052E+00 1.3308616500E+04 +4881.000000 1.0817384119E+00 1.3305891000E+04 +4880.000000 1.0817381212E+00 1.3303165500E+04 +4879.000000 1.0817378331E+00 1.3300440000E+04 +4878.000000 1.0817375477E+00 1.3297714500E+04 +4877.000000 1.0817372648E+00 1.3294989000E+04 +4876.000000 1.0817369844E+00 1.3292263500E+04 +4875.000000 1.0817367066E+00 1.3289538000E+04 +4874.000000 1.0817364313E+00 1.3286812500E+04 +4873.000000 1.0817361584E+00 1.3284087000E+04 +4872.000000 1.0817358881E+00 1.3281361500E+04 +4871.000000 1.0817356201E+00 1.3278636000E+04 +4870.000000 1.0817353543E+00 1.3275910500E+04 +4869.000000 1.0817350910E+00 1.3273185000E+04 +4868.000000 1.0817348300E+00 1.3270459500E+04 +4867.000000 1.0817345713E+00 1.3267734000E+04 +4866.000000 1.0817343151E+00 1.3265008500E+04 +4865.000000 1.0817340611E+00 1.3262283000E+04 +4864.000000 1.0817338094E+00 1.3259557500E+04 +4863.000000 1.0817335601E+00 1.3256832000E+04 +4862.000000 1.0817333129E+00 1.3254106500E+04 +4861.000000 1.0817330681E+00 1.3251381000E+04 +4860.000000 1.0817328254E+00 1.3248655500E+04 +4859.000000 1.0817325850E+00 1.3245930000E+04 +4858.000000 1.0817323467E+00 1.3243204500E+04 +4857.000000 1.0817321106E+00 1.3240479000E+04 +4856.000000 1.0817318767E+00 1.3237753500E+04 +4855.000000 1.0817316449E+00 1.3235028000E+04 +4854.000000 1.0817314152E+00 1.3232302500E+04 +4853.000000 1.0817311875E+00 1.3229577000E+04 +4852.000000 1.0817309620E+00 1.3226851500E+04 +4851.000000 1.0817307383E+00 1.3224126000E+04 +4850.000000 1.0817305167E+00 1.3221400500E+04 +4849.000000 1.0817302970E+00 1.3218675000E+04 +4848.000000 1.0817300794E+00 1.3215949500E+04 +4847.000000 1.0817298637E+00 1.3213224000E+04 +4846.000000 1.0817296500E+00 1.3210498500E+04 +4845.000000 1.0817294383E+00 1.3207773000E+04 +4844.000000 1.0817292285E+00 1.3205047500E+04 +4843.000000 1.0817290206E+00 1.3202322000E+04 +4842.000000 1.0817288146E+00 1.3199596500E+04 +4841.000000 1.0817286105E+00 1.3196871000E+04 +4840.000000 1.0817284083E+00 1.3194145500E+04 +4839.000000 1.0817282079E+00 1.3191420000E+04 +4838.000000 1.0817280094E+00 1.3188694500E+04 +4837.000000 1.0817278126E+00 1.3185969000E+04 +4836.000000 1.0817276177E+00 1.3183243500E+04 +4835.000000 1.0817274246E+00 1.3180518000E+04 +4834.000000 1.0817272333E+00 1.3177792500E+04 +4833.000000 1.0817270437E+00 1.3175067000E+04 +4832.000000 1.0817268557E+00 1.3172341500E+04 +4831.000000 1.0817266694E+00 1.3169616000E+04 +4830.000000 1.0817264848E+00 1.3166890500E+04 +4829.000000 1.0817263019E+00 1.3164165000E+04 +4828.000000 1.0817261207E+00 1.3161439500E+04 +4827.000000 1.0817259412E+00 1.3158714000E+04 +4826.000000 1.0817257633E+00 1.3155988500E+04 +4825.000000 1.0817255870E+00 1.3153263000E+04 +4824.000000 1.0817254124E+00 1.3150537500E+04 +4823.000000 1.0817252393E+00 1.3147812000E+04 +4822.000000 1.0817250679E+00 1.3145086500E+04 +4821.000000 1.0817248981E+00 1.3142361000E+04 +4820.000000 1.0817247298E+00 1.3139635500E+04 +4819.000000 1.0817245631E+00 1.3136910000E+04 +4818.000000 1.0817243979E+00 1.3134184500E+04 +4817.000000 1.0817242343E+00 1.3131459000E+04 +4816.000000 1.0817240722E+00 1.3128733500E+04 +4815.000000 1.0817239115E+00 1.3126008000E+04 +4814.000000 1.0817237524E+00 1.3123282500E+04 +4813.000000 1.0817235947E+00 1.3120557000E+04 +4812.000000 1.0817234383E+00 1.3117831500E+04 +4811.000000 1.0817232834E+00 1.3115106000E+04 +4810.000000 1.0817231299E+00 1.3112380500E+04 +4809.000000 1.0817229779E+00 1.3109655000E+04 +4808.000000 1.0817228272E+00 1.3106929500E+04 +4807.000000 1.0817226780E+00 1.3104204000E+04 +4806.000000 1.0817225301E+00 1.3101478500E+04 +4805.000000 1.0817223836E+00 1.3098753000E+04 +4804.000000 1.0817222385E+00 1.3096027500E+04 +4803.000000 1.0817220948E+00 1.3093302000E+04 +4802.000000 1.0817219523E+00 1.3090576500E+04 +4801.000000 1.0817218112E+00 1.3087851000E+04 +4800.000000 1.0817216714E+00 1.3085125500E+04 +4799.000000 1.0817215330E+00 1.3082400000E+04 +4798.000000 1.0817213958E+00 1.3079674500E+04 +4797.000000 1.0817212599E+00 1.3076949000E+04 +4796.000000 1.0817211252E+00 1.3074223500E+04 +4795.000000 1.0817209918E+00 1.3071498000E+04 +4794.000000 1.0817208597E+00 1.3068772500E+04 +4793.000000 1.0817207287E+00 1.3066047000E+04 +4792.000000 1.0817205988E+00 1.3063321500E+04 +4791.000000 1.0817204702E+00 1.3060596000E+04 +4790.000000 1.0817203428E+00 1.3057870500E+04 +4789.000000 1.0817202166E+00 1.3055145000E+04 +4788.000000 1.0817200916E+00 1.3052419500E+04 +4787.000000 1.0817199677E+00 1.3049694000E+04 +4786.000000 1.0817198451E+00 1.3046968500E+04 +4785.000000 1.0817197235E+00 1.3044243000E+04 +4784.000000 1.0817196031E+00 1.3041517500E+04 +4783.000000 1.0817194838E+00 1.3038792000E+04 +4782.000000 1.0817193657E+00 1.3036066500E+04 +4781.000000 1.0817192487E+00 1.3033341000E+04 +4780.000000 1.0817191327E+00 1.3030615500E+04 +4779.000000 1.0817190179E+00 1.3027890000E+04 +4778.000000 1.0817189041E+00 1.3025164500E+04 +4777.000000 1.0817187914E+00 1.3022439000E+04 +4776.000000 1.0817186798E+00 1.3019713500E+04 +4775.000000 1.0817185692E+00 1.3016988000E+04 +4774.000000 1.0817184596E+00 1.3014262500E+04 +4773.000000 1.0817183509E+00 1.3011537000E+04 +4772.000000 1.0817182433E+00 1.3008811500E+04 +4771.000000 1.0817181368E+00 1.3006086000E+04 +4770.000000 1.0817180312E+00 1.3003360500E+04 +4769.000000 1.0817179266E+00 1.3000635000E+04 +4768.000000 1.0817178230E+00 1.2997909500E+04 +4767.000000 1.0817177204E+00 1.2995184000E+04 +4766.000000 1.0817176187E+00 1.2992458500E+04 +4765.000000 1.0817175181E+00 1.2989733000E+04 +4764.000000 1.0817174183E+00 1.2987007500E+04 +4763.000000 1.0817173196E+00 1.2984282000E+04 +4762.000000 1.0817172217E+00 1.2981556500E+04 +4761.000000 1.0817171248E+00 1.2978831000E+04 +4760.000000 1.0817170288E+00 1.2976105500E+04 +4759.000000 1.0817169337E+00 1.2973380000E+04 +4758.000000 1.0817168395E+00 1.2970654500E+04 +4757.000000 1.0817167462E+00 1.2967929000E+04 +4756.000000 1.0817166538E+00 1.2965203500E+04 +4755.000000 1.0817165622E+00 1.2962478000E+04 +4754.000000 1.0817164715E+00 1.2959752500E+04 +4753.000000 1.0817163816E+00 1.2957027000E+04 +4752.000000 1.0817162926E+00 1.2954301500E+04 +4751.000000 1.0817162044E+00 1.2951576000E+04 +4750.000000 1.0817161170E+00 1.2948850500E+04 +4749.000000 1.0817160305E+00 1.2946125000E+04 +4748.000000 1.0817159448E+00 1.2943399500E+04 +4747.000000 1.0817158599E+00 1.2940674000E+04 +4746.000000 1.0817157759E+00 1.2937948500E+04 +4745.000000 1.0817156926E+00 1.2935223000E+04 +4744.000000 1.0817156102E+00 1.2932497500E+04 +4743.000000 1.0817155285E+00 1.2929772000E+04 +4742.000000 1.0817154476E+00 1.2927046500E+04 +4741.000000 1.0817153675E+00 1.2924321000E+04 +4740.000000 1.0817152881E+00 1.2921595500E+04 +4739.000000 1.0817152095E+00 1.2918870000E+04 +4738.000000 1.0817151317E+00 1.2916144500E+04 +4737.000000 1.0817150546E+00 1.2913419000E+04 +4736.000000 1.0817149782E+00 1.2910693500E+04 +4735.000000 1.0817149024E+00 1.2907968000E+04 +4734.000000 1.0817148275E+00 1.2905242500E+04 +4733.000000 1.0817147532E+00 1.2902517000E+04 +4732.000000 1.0817146796E+00 1.2899791500E+04 +4731.000000 1.0817146068E+00 1.2897066000E+04 +4730.000000 1.0817145347E+00 1.2894340500E+04 +4729.000000 1.0817144632E+00 1.2891615000E+04 +4728.000000 1.0817143924E+00 1.2888889500E+04 +4727.000000 1.0817143224E+00 1.2886164000E+04 +4726.000000 1.0817142529E+00 1.2883438500E+04 +4725.000000 1.0817141842E+00 1.2880713000E+04 +4724.000000 1.0817141161E+00 1.2877987500E+04 +4723.000000 1.0817140487E+00 1.2875262000E+04 +4722.000000 1.0817139819E+00 1.2872536500E+04 +4721.000000 1.0817139158E+00 1.2869811000E+04 +4720.000000 1.0817138503E+00 1.2867085500E+04 +4719.000000 1.0817137855E+00 1.2864360000E+04 +4718.000000 1.0817137213E+00 1.2861634500E+04 +4717.000000 1.0817136576E+00 1.2858909000E+04 +4716.000000 1.0817135945E+00 1.2856183500E+04 +4715.000000 1.0817135321E+00 1.2853458000E+04 +4714.000000 1.0817134702E+00 1.2850732500E+04 +4713.000000 1.0817134090E+00 1.2848007000E+04 +4712.000000 1.0817133483E+00 1.2845281500E+04 +4711.000000 1.0817132883E+00 1.2842556000E+04 +4710.000000 1.0817132288E+00 1.2839830500E+04 +4709.000000 1.0817131699E+00 1.2837105000E+04 +4708.000000 1.0817131115E+00 1.2834379500E+04 +4707.000000 1.0817130537E+00 1.2831654000E+04 +4706.000000 1.0817129965E+00 1.2828928500E+04 +4705.000000 1.0817129399E+00 1.2826203000E+04 +4704.000000 1.0817128838E+00 1.2823477500E+04 +4703.000000 1.0817128282E+00 1.2820752000E+04 +4702.000000 1.0817127732E+00 1.2818026500E+04 +4701.000000 1.0817127187E+00 1.2815301000E+04 +4700.000000 1.0817126648E+00 1.2812575500E+04 +4699.000000 1.0817126114E+00 1.2809850000E+04 +4698.000000 1.0817125584E+00 1.2807124500E+04 +4697.000000 1.0817125060E+00 1.2804399000E+04 +4696.000000 1.0817124540E+00 1.2801673500E+04 +4695.000000 1.0817124026E+00 1.2798948000E+04 +4694.000000 1.0817123517E+00 1.2796222500E+04 +4693.000000 1.0817123012E+00 1.2793497000E+04 +4692.000000 1.0817122513E+00 1.2790771500E+04 +4691.000000 1.0817122018E+00 1.2788046000E+04 +4690.000000 1.0817121529E+00 1.2785320500E+04 +4689.000000 1.0817121044E+00 1.2782595000E+04 +4688.000000 1.0817120564E+00 1.2779869500E+04 +4687.000000 1.0817120088E+00 1.2777144000E+04 +4686.000000 1.0817119618E+00 1.2774418500E+04 +4685.000000 1.0817119152E+00 1.2771693000E+04 +4684.000000 1.0817118690E+00 1.2768967500E+04 +4683.000000 1.0817118233E+00 1.2766242000E+04 +4682.000000 1.0817117781E+00 1.2763516500E+04 +4681.000000 1.0817117332E+00 1.2760791000E+04 +4680.000000 1.0817116889E+00 1.2758065500E+04 +4679.000000 1.0817116449E+00 1.2755340000E+04 +4678.000000 1.0817116013E+00 1.2752614500E+04 +4677.000000 1.0817115582E+00 1.2749889000E+04 +4676.000000 1.0817115155E+00 1.2747163500E+04 +4675.000000 1.0817114732E+00 1.2744438000E+04 +4674.000000 1.0817114314E+00 1.2741712500E+04 +4673.000000 1.0817113899E+00 1.2738987000E+04 +4672.000000 1.0817113489E+00 1.2736261500E+04 +4671.000000 1.0817113083E+00 1.2733536000E+04 +4670.000000 1.0817112680E+00 1.2730810500E+04 +4669.000000 1.0817112282E+00 1.2728085000E+04 +4668.000000 1.0817111887E+00 1.2725359500E+04 +4667.000000 1.0817111497E+00 1.2722634000E+04 +4666.000000 1.0817111110E+00 1.2719908500E+04 +4665.000000 1.0817110727E+00 1.2717183000E+04 +4664.000000 1.0817110348E+00 1.2714457500E+04 +4663.000000 1.0817109973E+00 1.2711732000E+04 +4662.000000 1.0817109602E+00 1.2709006500E+04 +4661.000000 1.0817109233E+00 1.2706281000E+04 +4660.000000 1.0817108869E+00 1.2703555500E+04 +4659.000000 1.0817108508E+00 1.2700830000E+04 +4658.000000 1.0817108150E+00 1.2698104500E+04 +4657.000000 1.0817107796E+00 1.2695379000E+04 +4656.000000 1.0817107446E+00 1.2692653500E+04 +4655.000000 1.0817107099E+00 1.2689928000E+04 +4654.000000 1.0817106756E+00 1.2687202500E+04 +4653.000000 1.0817106415E+00 1.2684477000E+04 +4652.000000 1.0817106079E+00 1.2681751500E+04 +4651.000000 1.0817105745E+00 1.2679026000E+04 +4650.000000 1.0817105415E+00 1.2676300500E+04 +4649.000000 1.0817105089E+00 1.2673575000E+04 +4648.000000 1.0817104765E+00 1.2670849500E+04 +4647.000000 1.0817104445E+00 1.2668124000E+04 +4646.000000 1.0817104128E+00 1.2665398500E+04 +4645.000000 1.0817103814E+00 1.2662673000E+04 +4644.000000 1.0817103503E+00 1.2659947500E+04 +4643.000000 1.0817103196E+00 1.2657222000E+04 +4642.000000 1.0817102891E+00 1.2654496500E+04 +4641.000000 1.0817102589E+00 1.2651771000E+04 +4640.000000 1.0817102290E+00 1.2649045500E+04 +4639.000000 1.0817101994E+00 1.2646320000E+04 +4638.000000 1.0817101701E+00 1.2643594500E+04 +4637.000000 1.0817101411E+00 1.2640869000E+04 +4636.000000 1.0817101124E+00 1.2638143500E+04 +4635.000000 1.0817100840E+00 1.2635418000E+04 +4634.000000 1.0817100559E+00 1.2632692500E+04 +4633.000000 1.0817100280E+00 1.2629967000E+04 +4632.000000 1.0817100005E+00 1.2627241500E+04 +4631.000000 1.0817099732E+00 1.2624516000E+04 +4630.000000 1.0817099462E+00 1.2621790500E+04 +4629.000000 1.0817099194E+00 1.2619065000E+04 +4628.000000 1.0817098929E+00 1.2616339500E+04 +4627.000000 1.0817098667E+00 1.2613614000E+04 +4626.000000 1.0817098408E+00 1.2610888500E+04 +4625.000000 1.0817098151E+00 1.2608163000E+04 +4624.000000 1.0817097896E+00 1.2605437500E+04 +4623.000000 1.0817097644E+00 1.2602712000E+04 +4622.000000 1.0817097395E+00 1.2599986500E+04 +4621.000000 1.0817097148E+00 1.2597261000E+04 +4620.000000 1.0817096903E+00 1.2594535500E+04 +4619.000000 1.0817096661E+00 1.2591810000E+04 +4618.000000 1.0817096422E+00 1.2589084500E+04 +4617.000000 1.0817096185E+00 1.2586359000E+04 +4616.000000 1.0817095950E+00 1.2583633500E+04 +4615.000000 1.0817095718E+00 1.2580908000E+04 +4614.000000 1.0817095488E+00 1.2578182500E+04 +4613.000000 1.0817095260E+00 1.2575457000E+04 +4612.000000 1.0817095035E+00 1.2572731500E+04 +4611.000000 1.0817094811E+00 1.2570006000E+04 +4610.000000 1.0817094591E+00 1.2567280500E+04 +4609.000000 1.0817094372E+00 1.2564555000E+04 +4608.000000 1.0817094156E+00 1.2561829500E+04 +4607.000000 1.0817093942E+00 1.2559104000E+04 +4606.000000 1.0817093730E+00 1.2556378500E+04 +4605.000000 1.0817093519E+00 1.2553653000E+04 +4604.000000 1.0817093311E+00 1.2550927500E+04 +4603.000000 1.0817093106E+00 1.2548202000E+04 +4602.000000 1.0817092902E+00 1.2545476500E+04 +4601.000000 1.0817092700E+00 1.2542751000E+04 +4600.000000 1.0817092501E+00 1.2540025500E+04 +4599.000000 1.0817092303E+00 1.2537300000E+04 +4598.000000 1.0817092107E+00 1.2534574500E+04 +4597.000000 1.0817091914E+00 1.2531849000E+04 +4596.000000 1.0817091722E+00 1.2529123500E+04 +4595.000000 1.0817091533E+00 1.2526398000E+04 +4594.000000 1.0817091345E+00 1.2523672500E+04 +4593.000000 1.0817091159E+00 1.2520947000E+04 +4592.000000 1.0817090975E+00 1.2518221500E+04 +4591.000000 1.0817090793E+00 1.2515496000E+04 +4590.000000 1.0817090613E+00 1.2512770500E+04 +4589.000000 1.0817090435E+00 1.2510045000E+04 +4588.000000 1.0817090258E+00 1.2507319500E+04 +4587.000000 1.0817090083E+00 1.2504594000E+04 +4586.000000 1.0817089910E+00 1.2501868500E+04 +4585.000000 1.0817089739E+00 1.2499143000E+04 +4584.000000 1.0817089569E+00 1.2496417500E+04 +4583.000000 1.0817089402E+00 1.2493692000E+04 +4582.000000 1.0817089236E+00 1.2490966500E+04 +4581.000000 1.0817089071E+00 1.2488241000E+04 +4580.000000 1.0817088908E+00 1.2485515500E+04 +4579.000000 1.0817088747E+00 1.2482790000E+04 +4578.000000 1.0817088588E+00 1.2480064500E+04 +4577.000000 1.0817088430E+00 1.2477339000E+04 +4576.000000 1.0817088274E+00 1.2474613500E+04 +4575.000000 1.0817088120E+00 1.2471888000E+04 +4574.000000 1.0817087967E+00 1.2469162500E+04 +4573.000000 1.0817087816E+00 1.2466437000E+04 +4572.000000 1.0817087666E+00 1.2463711500E+04 +4571.000000 1.0817087518E+00 1.2460986000E+04 +4570.000000 1.0817087371E+00 1.2458260500E+04 +4569.000000 1.0817087226E+00 1.2455535000E+04 +4568.000000 1.0817087082E+00 1.2452809500E+04 +4567.000000 1.0817086939E+00 1.2450084000E+04 +4566.000000 1.0817086798E+00 1.2447358500E+04 +4565.000000 1.0817086659E+00 1.2444633000E+04 +4564.000000 1.0817086521E+00 1.2441907500E+04 +4563.000000 1.0817086384E+00 1.2439182000E+04 +4562.000000 1.0817086249E+00 1.2436456500E+04 +4561.000000 1.0817086116E+00 1.2433731000E+04 +4560.000000 1.0817085983E+00 1.2431005500E+04 +4559.000000 1.0817085852E+00 1.2428280000E+04 +4558.000000 1.0817085723E+00 1.2425554500E+04 +4557.000000 1.0817085594E+00 1.2422829000E+04 +4556.000000 1.0817085467E+00 1.2420103500E+04 +4555.000000 1.0817085342E+00 1.2417378000E+04 +4554.000000 1.0817085217E+00 1.2414652500E+04 +4553.000000 1.0817085094E+00 1.2411927000E+04 +4552.000000 1.0817084973E+00 1.2409201500E+04 +4551.000000 1.0817084852E+00 1.2406476000E+04 +4550.000000 1.0817084733E+00 1.2403750500E+04 +4549.000000 1.0817084615E+00 1.2401025000E+04 +4548.000000 1.0817084498E+00 1.2398299500E+04 +4547.000000 1.0817084382E+00 1.2395574000E+04 +4546.000000 1.0817084268E+00 1.2392848500E+04 +4545.000000 1.0817084154E+00 1.2390123000E+04 +4544.000000 1.0817084042E+00 1.2387397500E+04 +4543.000000 1.0817083931E+00 1.2384672000E+04 +4542.000000 1.0817083822E+00 1.2381946500E+04 +4541.000000 1.0817083713E+00 1.2379221000E+04 +4540.000000 1.0817083606E+00 1.2376495500E+04 +4539.000000 1.0817083499E+00 1.2373770000E+04 +4538.000000 1.0817083394E+00 1.2371044500E+04 +4537.000000 1.0817083290E+00 1.2368319000E+04 +4536.000000 1.0817083187E+00 1.2365593500E+04 +4535.000000 1.0817083085E+00 1.2362868000E+04 +4534.000000 1.0817082984E+00 1.2360142500E+04 +4533.000000 1.0817082884E+00 1.2357417000E+04 +4532.000000 1.0817082785E+00 1.2354691500E+04 +4531.000000 1.0817082687E+00 1.2351966000E+04 +4530.000000 1.0817082591E+00 1.2349240500E+04 +4529.000000 1.0817082495E+00 1.2346515000E+04 +4528.000000 1.0817082400E+00 1.2343789500E+04 +4527.000000 1.0817082306E+00 1.2341064000E+04 +4526.000000 1.0817082213E+00 1.2338338500E+04 +4525.000000 1.0817082121E+00 1.2335613000E+04 +4524.000000 1.0817082031E+00 1.2332887500E+04 +4523.000000 1.0817081941E+00 1.2330162000E+04 +4522.000000 1.0817081852E+00 1.2327436500E+04 +4521.000000 1.0817081764E+00 1.2324711000E+04 +4520.000000 1.0817081677E+00 1.2321985500E+04 +4519.000000 1.0817081590E+00 1.2319260000E+04 +4518.000000 1.0817081505E+00 1.2316534500E+04 +4517.000000 1.0817081421E+00 1.2313809000E+04 +4516.000000 1.0817081337E+00 1.2311083500E+04 +4515.000000 1.0817081255E+00 1.2308358000E+04 +4514.000000 1.0817081173E+00 1.2305632500E+04 +4513.000000 1.0817081092E+00 1.2302907000E+04 +4512.000000 1.0817081012E+00 1.2300181500E+04 +4511.000000 1.0817080933E+00 1.2297456000E+04 +4510.000000 1.0817080854E+00 1.2294730500E+04 +4509.000000 1.0817080777E+00 1.2292005000E+04 +4508.000000 1.0817080700E+00 1.2289279500E+04 +4507.000000 1.0817080624E+00 1.2286554000E+04 +4506.000000 1.0817080549E+00 1.2283828500E+04 +4505.000000 1.0817080475E+00 1.2281103000E+04 +4504.000000 1.0817080401E+00 1.2278377500E+04 +4503.000000 1.0817080328E+00 1.2275652000E+04 +4502.000000 1.0817080256E+00 1.2272926500E+04 +4501.000000 1.0817080185E+00 1.2270201000E+04 +4500.000000 1.0817080115E+00 1.2267475500E+04 +4499.000000 1.0817080045E+00 1.2264750000E+04 +4498.000000 1.0817079976E+00 1.2262024500E+04 +4497.000000 1.0817079908E+00 1.2259299000E+04 +4496.000000 1.0817079840E+00 1.2256573500E+04 +4495.000000 1.0817079773E+00 1.2253848000E+04 +4494.000000 1.0817079707E+00 1.2251122500E+04 +4493.000000 1.0817079642E+00 1.2248397000E+04 +4492.000000 1.0817079577E+00 1.2245671500E+04 +4491.000000 1.0817079513E+00 1.2242946000E+04 +4490.000000 1.0817079450E+00 1.2240220500E+04 +4489.000000 1.0817079387E+00 1.2237495000E+04 +4488.000000 1.0817079325E+00 1.2234769500E+04 +4487.000000 1.0817079264E+00 1.2232044000E+04 +4486.000000 1.0817079203E+00 1.2229318500E+04 +4485.000000 1.0817079143E+00 1.2226593000E+04 +4484.000000 1.0817079084E+00 1.2223867500E+04 +4483.000000 1.0817079025E+00 1.2221142000E+04 +4482.000000 1.0817078967E+00 1.2218416500E+04 +4481.000000 1.0817078909E+00 1.2215691000E+04 +4480.000000 1.0817078852E+00 1.2212965500E+04 +4479.000000 1.0817078796E+00 1.2210240000E+04 +4478.000000 1.0817078740E+00 1.2207514500E+04 +4477.000000 1.0817078685E+00 1.2204789000E+04 +4476.000000 1.0817078631E+00 1.2202063500E+04 +4475.000000 1.0817078577E+00 1.2199338000E+04 +4474.000000 1.0817078523E+00 1.2196612500E+04 +4473.000000 1.0817078471E+00 1.2193887000E+04 +4472.000000 1.0817078418E+00 1.2191161500E+04 +4471.000000 1.0817078367E+00 1.2188436000E+04 +4470.000000 1.0817078316E+00 1.2185710500E+04 +4469.000000 1.0817078265E+00 1.2182985000E+04 +4468.000000 1.0817078215E+00 1.2180259500E+04 +4467.000000 1.0817078166E+00 1.2177534000E+04 +4466.000000 1.0817078117E+00 1.2174808500E+04 +4465.000000 1.0817078068E+00 1.2172083000E+04 +4464.000000 1.0817078021E+00 1.2169357500E+04 +4463.000000 1.0817077973E+00 1.2166632000E+04 +4462.000000 1.0817077926E+00 1.2163906500E+04 +4461.000000 1.0817077880E+00 1.2161181000E+04 +4460.000000 1.0817077834E+00 1.2158455500E+04 +4459.000000 1.0817077789E+00 1.2155730000E+04 +4458.000000 1.0817077744E+00 1.2153004500E+04 +4457.000000 1.0817077700E+00 1.2150279000E+04 +4456.000000 1.0817077656E+00 1.2147553500E+04 +4455.000000 1.0817077612E+00 1.2144828000E+04 +4454.000000 1.0817077569E+00 1.2142102500E+04 +4453.000000 1.0817077527E+00 1.2139377000E+04 +4452.000000 1.0817077485E+00 1.2136651500E+04 +4451.000000 1.0817077443E+00 1.2133926000E+04 +4450.000000 1.0817077402E+00 1.2131200500E+04 +4449.000000 1.0817077361E+00 1.2128475000E+04 +4448.000000 1.0817077321E+00 1.2125749500E+04 +4447.000000 1.0817077281E+00 1.2123024000E+04 +4446.000000 1.0817077242E+00 1.2120298500E+04 +4445.000000 1.0817077203E+00 1.2117573000E+04 +4444.000000 1.0817077165E+00 1.2114847500E+04 +4443.000000 1.0817077126E+00 1.2112122000E+04 +4442.000000 1.0817077089E+00 1.2109396500E+04 +4441.000000 1.0817077051E+00 1.2106671000E+04 +4440.000000 1.0817077015E+00 1.2103945500E+04 +4439.000000 1.0817076978E+00 1.2101220000E+04 +4438.000000 1.0817076942E+00 1.2098494500E+04 +4437.000000 1.0817076906E+00 1.2095769000E+04 +4436.000000 1.0817076871E+00 1.2093043500E+04 +4435.000000 1.0817076836E+00 1.2090318000E+04 +4434.000000 1.0817076802E+00 1.2087592500E+04 +4433.000000 1.0817076767E+00 1.2084867000E+04 +4432.000000 1.0817076734E+00 1.2082141500E+04 +4431.000000 1.0817076700E+00 1.2079416000E+04 +4430.000000 1.0817076667E+00 1.2076690500E+04 +4429.000000 1.0817076635E+00 1.2073965000E+04 +4428.000000 1.0817076602E+00 1.2071239500E+04 +4427.000000 1.0817076570E+00 1.2068514000E+04 +4426.000000 1.0817076539E+00 1.2065788500E+04 +4425.000000 1.0817076508E+00 1.2063063000E+04 +4424.000000 1.0817076477E+00 1.2060337500E+04 +4423.000000 1.0817076446E+00 1.2057612000E+04 +4422.000000 1.0817076416E+00 1.2054886500E+04 +4421.000000 1.0817076386E+00 1.2052161000E+04 +4420.000000 1.0817076356E+00 1.2049435500E+04 +4419.000000 1.0817076327E+00 1.2046710000E+04 +4418.000000 1.0817076298E+00 1.2043984500E+04 +4417.000000 1.0817076269E+00 1.2041259000E+04 +4416.000000 1.0817076241E+00 1.2038533500E+04 +4415.000000 1.0817076213E+00 1.2035808000E+04 +4414.000000 1.0817076185E+00 1.2033082500E+04 +4413.000000 1.0817076158E+00 1.2030357000E+04 +4412.000000 1.0817076131E+00 1.2027631500E+04 +4411.000000 1.0817076104E+00 1.2024906000E+04 +4410.000000 1.0817076078E+00 1.2022180500E+04 +4409.000000 1.0817076052E+00 1.2019455000E+04 +4408.000000 1.0817076026E+00 1.2016729500E+04 +4407.000000 1.0817076000E+00 1.2014004000E+04 +4406.000000 1.0817075975E+00 1.2011278500E+04 +4405.000000 1.0817075950E+00 1.2008553000E+04 +4404.000000 1.0817075925E+00 1.2005827500E+04 +4403.000000 1.0817075900E+00 1.2003102000E+04 +4402.000000 1.0817075876E+00 1.2000376500E+04 +4401.000000 1.0817075852E+00 1.1997651000E+04 +4400.000000 1.0817075828E+00 1.1994925500E+04 +4399.000000 1.0817075805E+00 1.1992200000E+04 +4398.000000 1.0817075782E+00 1.1989474500E+04 +4397.000000 1.0817075759E+00 1.1986749000E+04 +4396.000000 1.0817075736E+00 1.1984023500E+04 +4395.000000 1.0817075714E+00 1.1981298000E+04 +4394.000000 1.0817075692E+00 1.1978572500E+04 +4393.000000 1.0817075670E+00 1.1975847000E+04 +4392.000000 1.0817075648E+00 1.1973121500E+04 +4391.000000 1.0817075627E+00 1.1970396000E+04 +4390.000000 1.0817075606E+00 1.1967670500E+04 +4389.000000 1.0817075585E+00 1.1964945000E+04 +4388.000000 1.0817075564E+00 1.1962219500E+04 +4387.000000 1.0817075543E+00 1.1959494000E+04 +4386.000000 1.0817075523E+00 1.1956768500E+04 +4385.000000 1.0817075503E+00 1.1954043000E+04 +4384.000000 1.0817075483E+00 1.1951317500E+04 +4383.000000 1.0817075464E+00 1.1948592000E+04 +4382.000000 1.0817075444E+00 1.1945866500E+04 +4381.000000 1.0817075425E+00 1.1943141000E+04 +4380.000000 1.0817075406E+00 1.1940415500E+04 +4379.000000 1.0817075387E+00 1.1937690000E+04 +4378.000000 1.0817075369E+00 1.1934964500E+04 +4377.000000 1.0817075351E+00 1.1932239000E+04 +4376.000000 1.0817075333E+00 1.1929513500E+04 +4375.000000 1.0817075315E+00 1.1926788000E+04 +4374.000000 1.0817075297E+00 1.1924062500E+04 +4373.000000 1.0817075280E+00 1.1921337000E+04 +4372.000000 1.0817075262E+00 1.1918611500E+04 +4371.000000 1.0817075245E+00 1.1915886000E+04 +4370.000000 1.0817075228E+00 1.1913160500E+04 +4369.000000 1.0817075211E+00 1.1910435000E+04 +4368.000000 1.0817075195E+00 1.1907709500E+04 +4367.000000 1.0817075179E+00 1.1904984000E+04 +4366.000000 1.0817075162E+00 1.1902258500E+04 +4365.000000 1.0817075146E+00 1.1899533000E+04 +4364.000000 1.0817075131E+00 1.1896807500E+04 +4363.000000 1.0817075115E+00 1.1894082000E+04 +4362.000000 1.0817075100E+00 1.1891356500E+04 +4361.000000 1.0817075084E+00 1.1888631000E+04 +4360.000000 1.0817075069E+00 1.1885905500E+04 +4359.000000 1.0817075054E+00 1.1883180000E+04 +4358.000000 1.0817075039E+00 1.1880454500E+04 +4357.000000 1.0817075025E+00 1.1877729000E+04 +4356.000000 1.0817075010E+00 1.1875003500E+04 +4355.000000 1.0817074996E+00 1.1872278000E+04 +4354.000000 1.0817074982E+00 1.1869552500E+04 +4353.000000 1.0817074968E+00 1.1866827000E+04 +4352.000000 1.0817074954E+00 1.1864101500E+04 +4351.000000 1.0817074941E+00 1.1861376000E+04 +4350.000000 1.0817074927E+00 1.1858650500E+04 +4349.000000 1.0817074914E+00 1.1855925000E+04 +4348.000000 1.0817074901E+00 1.1853199500E+04 +4347.000000 1.0817074888E+00 1.1850474000E+04 +4346.000000 1.0817074875E+00 1.1847748500E+04 +4345.000000 1.0817074862E+00 1.1845023000E+04 +4344.000000 1.0817074850E+00 1.1842297500E+04 +4343.000000 1.0817074837E+00 1.1839572000E+04 +4342.000000 1.0817074825E+00 1.1836846500E+04 +4341.000000 1.0817074813E+00 1.1834121000E+04 +4340.000000 1.0817074801E+00 1.1831395500E+04 +4339.000000 1.0817074789E+00 1.1828670000E+04 +4338.000000 1.0817074777E+00 1.1825944500E+04 +4337.000000 1.0817074765E+00 1.1823219000E+04 +4336.000000 1.0817074754E+00 1.1820493500E+04 +4335.000000 1.0817074743E+00 1.1817768000E+04 +4334.000000 1.0817074731E+00 1.1815042500E+04 +4333.000000 1.0817074720E+00 1.1812317000E+04 +4332.000000 1.0817074709E+00 1.1809591500E+04 +4331.000000 1.0817074699E+00 1.1806866000E+04 +4330.000000 1.0817074688E+00 1.1804140500E+04 +4329.000000 1.0817074677E+00 1.1801415000E+04 +4328.000000 1.0817074667E+00 1.1798689500E+04 +4327.000000 1.0817074656E+00 1.1795964000E+04 +4326.000000 1.0817074646E+00 1.1793238500E+04 +4325.000000 1.0817074636E+00 1.1790513000E+04 +4324.000000 1.0817074626E+00 1.1787787500E+04 +4323.000000 1.0817074616E+00 1.1785062000E+04 +4322.000000 1.0817074606E+00 1.1782336500E+04 +4321.000000 1.0817074597E+00 1.1779611000E+04 +4320.000000 1.0817074587E+00 1.1776885500E+04 +4319.000000 1.0817074578E+00 1.1774160000E+04 +4318.000000 1.0817074569E+00 1.1771434500E+04 +4317.000000 1.0817074559E+00 1.1768709000E+04 +4316.000000 1.0817074550E+00 1.1765983500E+04 +4315.000000 1.0817074541E+00 1.1763258000E+04 +4314.000000 1.0817074532E+00 1.1760532500E+04 +4313.000000 1.0817074524E+00 1.1757807000E+04 +4312.000000 1.0817074515E+00 1.1755081500E+04 +4311.000000 1.0817074506E+00 1.1752356000E+04 +4310.000000 1.0817074498E+00 1.1749630500E+04 +4309.000000 1.0817074489E+00 1.1746905000E+04 +4308.000000 1.0817074481E+00 1.1744179500E+04 +4307.000000 1.0817074473E+00 1.1741454000E+04 +4306.000000 1.0817074465E+00 1.1738728500E+04 +4305.000000 1.0817074457E+00 1.1736003000E+04 +4304.000000 1.0817074449E+00 1.1733277500E+04 +4303.000000 1.0817074441E+00 1.1730552000E+04 +4302.000000 1.0817074433E+00 1.1727826500E+04 +4301.000000 1.0817074426E+00 1.1725101000E+04 +4300.000000 1.0817074418E+00 1.1722375500E+04 +4299.000000 1.0817074411E+00 1.1719650000E+04 +4298.000000 1.0817074403E+00 1.1716924500E+04 +4297.000000 1.0817074396E+00 1.1714199000E+04 +4296.000000 1.0817074389E+00 1.1711473500E+04 +4295.000000 1.0817074382E+00 1.1708748000E+04 +4294.000000 1.0817074374E+00 1.1706022500E+04 +4293.000000 1.0817074368E+00 1.1703297000E+04 +4292.000000 1.0817074361E+00 1.1700571500E+04 +4291.000000 1.0817074354E+00 1.1697846000E+04 +4290.000000 1.0817074347E+00 1.1695120500E+04 +4289.000000 1.0817074340E+00 1.1692395000E+04 +4288.000000 1.0817074334E+00 1.1689669500E+04 +4287.000000 1.0817074327E+00 1.1686944000E+04 +4286.000000 1.0817074321E+00 1.1684218500E+04 +4285.000000 1.0817074315E+00 1.1681493000E+04 +4284.000000 1.0817074308E+00 1.1678767500E+04 +4283.000000 1.0817074302E+00 1.1676042000E+04 +4282.000000 1.0817074296E+00 1.1673316500E+04 +4281.000000 1.0817074290E+00 1.1670591000E+04 +4280.000000 1.0817074284E+00 1.1667865500E+04 +4279.000000 1.0817074278E+00 1.1665140000E+04 +4278.000000 1.0817074272E+00 1.1662414500E+04 +4277.000000 1.0817074267E+00 1.1659689000E+04 +4276.000000 1.0817074261E+00 1.1656963500E+04 +4275.000000 1.0817074255E+00 1.1654238000E+04 +4274.000000 1.0817074250E+00 1.1651512500E+04 +4273.000000 1.0817074244E+00 1.1648787000E+04 +4272.000000 1.0817074239E+00 1.1646061500E+04 +4271.000000 1.0817074233E+00 1.1643336000E+04 +4270.000000 1.0817074228E+00 1.1640610500E+04 +4269.000000 1.0817074223E+00 1.1637885000E+04 +4268.000000 1.0817074218E+00 1.1635159500E+04 +4267.000000 1.0817074213E+00 1.1632434000E+04 +4266.000000 1.0817074207E+00 1.1629708500E+04 +4265.000000 1.0817074202E+00 1.1626983000E+04 +4264.000000 1.0817074198E+00 1.1624257500E+04 +4263.000000 1.0817074193E+00 1.1621532000E+04 +4262.000000 1.0817074188E+00 1.1618806500E+04 +4261.000000 1.0817074183E+00 1.1616081000E+04 +4260.000000 1.0817074178E+00 1.1613355500E+04 +4259.000000 1.0817074174E+00 1.1610630000E+04 +4258.000000 1.0817074169E+00 1.1607904500E+04 +4257.000000 1.0817074165E+00 1.1605179000E+04 +4256.000000 1.0817074160E+00 1.1602453500E+04 +4255.000000 1.0817074156E+00 1.1599728000E+04 +4254.000000 1.0817074151E+00 1.1597002500E+04 +4253.000000 1.0817074147E+00 1.1594277000E+04 +4252.000000 1.0817074143E+00 1.1591551500E+04 +4251.000000 1.0817074138E+00 1.1588826000E+04 +4250.000000 1.0817074134E+00 1.1586100500E+04 +4249.000000 1.0817074130E+00 1.1583375000E+04 +4248.000000 1.0817074126E+00 1.1580649500E+04 +4247.000000 1.0817074122E+00 1.1577924000E+04 +4246.000000 1.0817074118E+00 1.1575198500E+04 +4245.000000 1.0817074114E+00 1.1572473000E+04 +4244.000000 1.0817074110E+00 1.1569747500E+04 +4243.000000 1.0817074106E+00 1.1567022000E+04 +4242.000000 1.0817074103E+00 1.1564296500E+04 +4241.000000 1.0817074099E+00 1.1561571000E+04 +4240.000000 1.0817074095E+00 1.1558845500E+04 +4239.000000 1.0817074091E+00 1.1556120000E+04 +4238.000000 1.0817074088E+00 1.1553394500E+04 +4237.000000 1.0817074084E+00 1.1550669000E+04 +4236.000000 1.0817074081E+00 1.1547943500E+04 +4235.000000 1.0817074077E+00 1.1545218000E+04 +4234.000000 1.0817074074E+00 1.1542492500E+04 +4233.000000 1.0817074070E+00 1.1539767000E+04 +4232.000000 1.0817074067E+00 1.1537041500E+04 +4231.000000 1.0817074064E+00 1.1534316000E+04 +4230.000000 1.0817074060E+00 1.1531590500E+04 +4229.000000 1.0817074057E+00 1.1528865000E+04 +4228.000000 1.0817074054E+00 1.1526139500E+04 +4227.000000 1.0817074051E+00 1.1523414000E+04 +4226.000000 1.0817074048E+00 1.1520688500E+04 +4225.000000 1.0817074044E+00 1.1517963000E+04 +4224.000000 1.0817074041E+00 1.1515237500E+04 +4223.000000 1.0817074038E+00 1.1512512000E+04 +4222.000000 1.0817074035E+00 1.1509786500E+04 +4221.000000 1.0817074032E+00 1.1507061000E+04 +4220.000000 1.0817074030E+00 1.1504335500E+04 +4219.000000 1.0817074027E+00 1.1501610000E+04 +4218.000000 1.0817074024E+00 1.1498884500E+04 +4217.000000 1.0817074021E+00 1.1496159000E+04 +4216.000000 1.0817074018E+00 1.1493433500E+04 +4215.000000 1.0817074016E+00 1.1490708000E+04 +4214.000000 1.0817074013E+00 1.1487982500E+04 +4213.000000 1.0817074010E+00 1.1485257000E+04 +4212.000000 1.0817074008E+00 1.1482531500E+04 +4211.000000 1.0817074005E+00 1.1479806000E+04 +4210.000000 1.0817074002E+00 1.1477080500E+04 +4209.000000 1.0817074000E+00 1.1474355000E+04 +4208.000000 1.0817073997E+00 1.1471629500E+04 +4207.000000 1.0817073995E+00 1.1468904000E+04 +4206.000000 1.0817073992E+00 1.1466178500E+04 +4205.000000 1.0817073990E+00 1.1463453000E+04 +4204.000000 1.0817073988E+00 1.1460727500E+04 +4203.000000 1.0817073985E+00 1.1458002000E+04 +4202.000000 1.0817073983E+00 1.1455276500E+04 +4201.000000 1.0817073981E+00 1.1452551000E+04 +4200.000000 1.0817073978E+00 1.1449825500E+04 +4199.000000 1.0817073976E+00 1.1447100000E+04 +4198.000000 1.0817073974E+00 1.1444374500E+04 +4197.000000 1.0817073972E+00 1.1441649000E+04 +4196.000000 1.0817073969E+00 1.1438923500E+04 +4195.000000 1.0817073967E+00 1.1436198000E+04 +4194.000000 1.0817073965E+00 1.1433472500E+04 +4193.000000 1.0817073963E+00 1.1430747000E+04 +4192.000000 1.0817073961E+00 1.1428021500E+04 +4191.000000 1.0817073959E+00 1.1425296000E+04 +4190.000000 1.0817073957E+00 1.1422570500E+04 +4189.000000 1.0817073955E+00 1.1419845000E+04 +4188.000000 1.0817073953E+00 1.1417119500E+04 +4187.000000 1.0817073951E+00 1.1414394000E+04 +4186.000000 1.0817073949E+00 1.1411668500E+04 +4185.000000 1.0817073947E+00 1.1408943000E+04 +4184.000000 1.0817073945E+00 1.1406217500E+04 +4183.000000 1.0817073944E+00 1.1403492000E+04 +4182.000000 1.0817073942E+00 1.1400766500E+04 +4181.000000 1.0817073940E+00 1.1398041000E+04 +4180.000000 1.0817073938E+00 1.1395315500E+04 +4179.000000 1.0817073936E+00 1.1392590000E+04 +4178.000000 1.0817073935E+00 1.1389864500E+04 +4177.000000 1.0817073933E+00 1.1387139000E+04 +4176.000000 1.0817073931E+00 1.1384413500E+04 +4175.000000 1.0817073930E+00 1.1381688000E+04 +4174.000000 1.0817073928E+00 1.1378962500E+04 +4173.000000 1.0817073926E+00 1.1376237000E+04 +4172.000000 1.0817073925E+00 1.1373511500E+04 +4171.000000 1.0817073923E+00 1.1370786000E+04 +4170.000000 1.0817073921E+00 1.1368060500E+04 +4169.000000 1.0817073920E+00 1.1365335000E+04 +4168.000000 1.0817073918E+00 1.1362609500E+04 +4167.000000 1.0817073918E+00 1.1359884007E+04 +4166.000000 1.0817073918E+00 1.1357158521E+04 +4165.000000 1.0817073918E+00 1.1354433034E+04 +4164.000000 1.0817073918E+00 1.1351707546E+04 +4163.000000 1.0817073918E+00 1.1348982058E+04 +4162.000000 1.0817073918E+00 1.1346256568E+04 +4161.000000 1.0817073918E+00 1.1343531076E+04 +4160.000000 1.0817073917E+00 1.1340805582E+04 +4159.000000 1.0817073917E+00 1.1338080087E+04 +4158.000000 1.0817073915E+00 1.1335354588E+04 +4157.000000 1.0817073914E+00 1.1332629087E+04 +4156.000000 1.0817073912E+00 1.1329903582E+04 +4155.000000 1.0817073910E+00 1.1327178075E+04 +4154.000000 1.0817073907E+00 1.1324452563E+04 +4153.000000 1.0817073904E+00 1.1321727047E+04 +4152.000000 1.0817073900E+00 1.1319001527E+04 +4151.000000 1.0817073895E+00 1.1316276003E+04 +4150.000000 1.0817073886E+00 1.1313550436E+04 +4149.000000 1.0817073875E+00 1.1310824861E+04 +4148.000000 1.0817073863E+00 1.1308099281E+04 +4147.000000 1.0817073851E+00 1.1305373699E+04 +4146.000000 1.0817073839E+00 1.1302648114E+04 +4145.000000 1.0817073827E+00 1.1299922527E+04 +4144.000000 1.0817073814E+00 1.1297196938E+04 +4143.000000 1.0817073801E+00 1.1294471349E+04 +4142.000000 1.0817073789E+00 1.1291745759E+04 +4141.000000 1.0817073776E+00 1.1289020169E+04 +4140.000000 1.0817073764E+00 1.1286294581E+04 +4139.000000 1.0817073751E+00 1.1283568994E+04 +4138.000000 1.0817073739E+00 1.1280843409E+04 +4137.000000 1.0817073728E+00 1.1278117827E+04 +4136.000000 1.0817073717E+00 1.1275392248E+04 +4135.000000 1.0817073706E+00 1.1272666673E+04 +4134.000000 1.0817073698E+00 1.1269941117E+04 +4133.000000 1.0817073694E+00 1.1267215593E+04 +4132.000000 1.0817073691E+00 1.1264490074E+04 +4131.000000 1.0817073688E+00 1.1261764558E+04 +4130.000000 1.0817073686E+00 1.1259039047E+04 +4129.000000 1.0817073685E+00 1.1256313540E+04 +4128.000000 1.0817073684E+00 1.1253588036E+04 +4127.000000 1.0817073683E+00 1.1250862535E+04 +4126.000000 1.0817073683E+00 1.1248137037E+04 +4125.000000 1.0817073683E+00 1.1245411541E+04 +4124.000000 1.0817073683E+00 1.1242686048E+04 +4123.000000 1.0817073684E+00 1.1239960556E+04 +4122.000000 1.0817073685E+00 1.1237235067E+04 +4121.000000 1.0817073686E+00 1.1234509578E+04 +4120.000000 1.0817073687E+00 1.1231784090E+04 +4119.000000 1.0817073688E+00 1.1229058603E+04 +4118.000000 1.0817073689E+00 1.1226333117E+04 +4117.000000 1.0817073689E+00 1.1223607619E+04 +4116.000000 1.0817073688E+00 1.1220882118E+04 +4115.000000 1.0817073687E+00 1.1218156618E+04 +4114.000000 1.0817073687E+00 1.1215431117E+04 +4113.000000 1.0817073686E+00 1.1212705617E+04 +4112.000000 1.0817073685E+00 1.1209980117E+04 +4111.000000 1.0817073685E+00 1.1207254616E+04 +4110.000000 1.0817073684E+00 1.1204529116E+04 +4109.000000 1.0817073683E+00 1.1201803615E+04 +4108.000000 1.0817073683E+00 1.1199078115E+04 +4107.000000 1.0817073682E+00 1.1196352614E+04 +4106.000000 1.0817073681E+00 1.1193627114E+04 +4105.000000 1.0817073681E+00 1.1190901614E+04 +4104.000000 1.0817073680E+00 1.1188176113E+04 +4103.000000 1.0817073679E+00 1.1185450613E+04 +4102.000000 1.0817073678E+00 1.1182725112E+04 +4101.000000 1.0817073678E+00 1.1179999612E+04 +4100.000000 1.0817073677E+00 1.1177274112E+04 +4099.000000 1.0817073676E+00 1.1174548611E+04 +4098.000000 1.0817073676E+00 1.1171823111E+04 +4097.000000 1.0817073675E+00 1.1169097610E+04 +4096.000000 1.0817073674E+00 1.1166372110E+04 +4095.000000 1.0817073673E+00 1.1163646609E+04 +4094.000000 1.0817073673E+00 1.1160921109E+04 +4093.000000 1.0817073672E+00 1.1158195609E+04 +4092.000000 1.0817073671E+00 1.1155470108E+04 +4091.000000 1.0817073670E+00 1.1152744608E+04 +4090.000000 1.0817073670E+00 1.1150019107E+04 +4089.000000 1.0817073669E+00 1.1147293607E+04 +4088.000000 1.0817073668E+00 1.1144568107E+04 +4087.000000 1.0817073667E+00 1.1141842606E+04 +4086.000000 1.0817073666E+00 1.1139117106E+04 +4085.000000 1.0817073666E+00 1.1136391605E+04 +4084.000000 1.0817073665E+00 1.1133666105E+04 +4083.000000 1.0817073664E+00 1.1130940604E+04 +4082.000000 1.0817073663E+00 1.1128215104E+04 +4081.000000 1.0817073662E+00 1.1125489604E+04 +4080.000000 1.0817073662E+00 1.1122764103E+04 +4079.000000 1.0817073661E+00 1.1120038603E+04 +4078.000000 1.0817073660E+00 1.1117313102E+04 +4077.000000 1.0817073659E+00 1.1114587602E+04 +4076.000000 1.0817073658E+00 1.1111862102E+04 +4075.000000 1.0817073657E+00 1.1109136601E+04 +4074.000000 1.0817073657E+00 1.1106411101E+04 +4073.000000 1.0817073656E+00 1.1103685600E+04 +4072.000000 1.0817073655E+00 1.1100960100E+04 +4071.000000 1.0817073654E+00 1.1098234599E+04 +4070.000000 1.0817073653E+00 1.1095509099E+04 +4069.000000 1.0817073652E+00 1.1092783599E+04 +4068.000000 1.0817073651E+00 1.1090058098E+04 +4067.000000 1.0817073650E+00 1.1087332598E+04 +4066.000000 1.0817073649E+00 1.1084607097E+04 +4065.000000 1.0817073649E+00 1.1081881597E+04 +4064.000000 1.0817073648E+00 1.1079156096E+04 +4063.000000 1.0817073647E+00 1.1076430596E+04 +4062.000000 1.0817073646E+00 1.1073705096E+04 +4061.000000 1.0817073645E+00 1.1070979595E+04 +4060.000000 1.0817073644E+00 1.1068254095E+04 +4059.000000 1.0817073643E+00 1.1065528594E+04 +4058.000000 1.0817073642E+00 1.1062803094E+04 +4057.000000 1.0817073641E+00 1.1060077593E+04 +4056.000000 1.0817073640E+00 1.1057352093E+04 +4055.000000 1.0817073639E+00 1.1054626593E+04 +4054.000000 1.0817073638E+00 1.1051901092E+04 +4053.000000 1.0817073637E+00 1.1049175592E+04 +4052.000000 1.0817073636E+00 1.1046450091E+04 +4051.000000 1.0817073635E+00 1.1043724591E+04 +4050.000000 1.0817073634E+00 1.1040999091E+04 +4049.000000 1.0817073633E+00 1.1038273590E+04 +4048.000000 1.0817073632E+00 1.1035548090E+04 +4047.000000 1.0817073631E+00 1.1032822589E+04 +4046.000000 1.0817073630E+00 1.1030097089E+04 +4045.000000 1.0817073629E+00 1.1027371588E+04 +4044.000000 1.0817073628E+00 1.1024646088E+04 +4043.000000 1.0817073627E+00 1.1021920588E+04 +4042.000000 1.0817073626E+00 1.1019195087E+04 +4041.000000 1.0817073625E+00 1.1016469587E+04 +4040.000000 1.0817073624E+00 1.1013744086E+04 +4039.000000 1.0817073623E+00 1.1011018586E+04 +4038.000000 1.0817073622E+00 1.1008293085E+04 +4037.000000 1.0817073621E+00 1.1005567585E+04 +4036.000000 1.0817073620E+00 1.1002842085E+04 +4035.000000 1.0817073618E+00 1.1000116584E+04 +4034.000000 1.0817073617E+00 1.0997391084E+04 +4033.000000 1.0817073616E+00 1.0994665583E+04 +4032.000000 1.0817073615E+00 1.0991940083E+04 +4031.000000 1.0817073614E+00 1.0989214582E+04 +4030.000000 1.0817073613E+00 1.0986489082E+04 +4029.000000 1.0817073612E+00 1.0983763581E+04 +4028.000000 1.0817073611E+00 1.0981038081E+04 +4027.000000 1.0817073609E+00 1.0978312581E+04 +4026.000000 1.0817073608E+00 1.0975587080E+04 +4025.000000 1.0817073607E+00 1.0972861580E+04 +4024.000000 1.0817073606E+00 1.0970136079E+04 +4023.000000 1.0817073605E+00 1.0967410579E+04 +4022.000000 1.0817073604E+00 1.0964685078E+04 +4021.000000 1.0817073602E+00 1.0961959578E+04 +4020.000000 1.0817073601E+00 1.0959234078E+04 +4019.000000 1.0817073600E+00 1.0956508577E+04 +4018.000000 1.0817073599E+00 1.0953783077E+04 +4017.000000 1.0817073597E+00 1.0951057576E+04 +4016.000000 1.0817073596E+00 1.0948332076E+04 +4015.000000 1.0817073595E+00 1.0945606575E+04 +4014.000000 1.0817073594E+00 1.0942881075E+04 +4013.000000 1.0817073592E+00 1.0940155575E+04 +4012.000000 1.0817073591E+00 1.0937430074E+04 +4011.000000 1.0817073590E+00 1.0934704574E+04 +4010.000000 1.0817073588E+00 1.0931979073E+04 +4009.000000 1.0817073587E+00 1.0929253573E+04 +4008.000000 1.0817073586E+00 1.0926528072E+04 +4007.000000 1.0817073585E+00 1.0923802572E+04 +4006.000000 1.0817073583E+00 1.0921077072E+04 +4005.000000 1.0817073582E+00 1.0918351571E+04 +4004.000000 1.0817073581E+00 1.0915626071E+04 +4003.000000 1.0817073579E+00 1.0912900570E+04 +4002.000000 1.0817073578E+00 1.0910175070E+04 +4001.000000 1.0817073576E+00 1.0907449569E+04 +4000.000000 1.0817073575E+00 1.0904724069E+04 +3999.000000 1.0817073574E+00 1.0901998568E+04 +3998.000000 1.0817073572E+00 1.0899273068E+04 +3997.000000 1.0817073571E+00 1.0896547568E+04 +3996.000000 1.0817073569E+00 1.0893822067E+04 +3995.000000 1.0817073568E+00 1.0891096567E+04 +3994.000000 1.0817073566E+00 1.0888371066E+04 +3993.000000 1.0817073565E+00 1.0885645566E+04 +3992.000000 1.0817073564E+00 1.0882920065E+04 +3991.000000 1.0817073562E+00 1.0880194565E+04 +3990.000000 1.0817073561E+00 1.0877469064E+04 +3989.000000 1.0817073559E+00 1.0874743564E+04 +3988.000000 1.0817073558E+00 1.0872018064E+04 +3987.000000 1.0817073556E+00 1.0869292563E+04 +3986.000000 1.0817073555E+00 1.0866567063E+04 +3985.000000 1.0817073553E+00 1.0863841562E+04 +3984.000000 1.0817073551E+00 1.0861116062E+04 +3983.000000 1.0817073550E+00 1.0858390561E+04 +3982.000000 1.0817073548E+00 1.0855665061E+04 +3981.000000 1.0817073547E+00 1.0852939560E+04 +3980.000000 1.0817073545E+00 1.0850214060E+04 +3979.000000 1.0817073544E+00 1.0847488560E+04 +3978.000000 1.0817073542E+00 1.0844763059E+04 +3977.000000 1.0817073540E+00 1.0842037559E+04 +3976.000000 1.0817073539E+00 1.0839312058E+04 +3975.000000 1.0817073537E+00 1.0836586558E+04 +3974.000000 1.0817073535E+00 1.0833861057E+04 +3973.000000 1.0817073534E+00 1.0831135557E+04 +3972.000000 1.0817073532E+00 1.0828410056E+04 +3971.000000 1.0817073530E+00 1.0825684556E+04 +3970.000000 1.0817073529E+00 1.0822959056E+04 +3969.000000 1.0817073527E+00 1.0820233555E+04 +3968.000000 1.0817073525E+00 1.0817508055E+04 +3967.000000 1.0817073524E+00 1.0814782554E+04 +3966.000000 1.0817073522E+00 1.0812057054E+04 +3965.000000 1.0817073520E+00 1.0809331553E+04 +3964.000000 1.0817073518E+00 1.0806606053E+04 +3963.000000 1.0817073517E+00 1.0803880552E+04 +3962.000000 1.0817073515E+00 1.0801155052E+04 +3961.000000 1.0817073513E+00 1.0798429551E+04 +3960.000000 1.0817073511E+00 1.0795704051E+04 +3959.000000 1.0817073509E+00 1.0792978551E+04 +3958.000000 1.0817073507E+00 1.0790253050E+04 +3957.000000 1.0817073506E+00 1.0787527550E+04 +3956.000000 1.0817073504E+00 1.0784802049E+04 +3955.000000 1.0817073502E+00 1.0782076549E+04 +3954.000000 1.0817073500E+00 1.0779351048E+04 +3953.000000 1.0817073498E+00 1.0776625548E+04 +3952.000000 1.0817073496E+00 1.0773900047E+04 +3951.000000 1.0817073494E+00 1.0771174547E+04 +3950.000000 1.0817073492E+00 1.0768449047E+04 +3949.000000 1.0817073490E+00 1.0765723546E+04 +3948.000000 1.0817073488E+00 1.0762998046E+04 +3947.000000 1.0817073486E+00 1.0760272545E+04 +3946.000000 1.0817073484E+00 1.0757547045E+04 +3945.000000 1.0817073482E+00 1.0754821544E+04 +3944.000000 1.0817073480E+00 1.0752096044E+04 +3943.000000 1.0817073478E+00 1.0749370543E+04 +3942.000000 1.0817073476E+00 1.0746645043E+04 +3941.000000 1.0817073474E+00 1.0743919542E+04 +3940.000000 1.0817073472E+00 1.0741194042E+04 +3939.000000 1.0817073470E+00 1.0738468542E+04 +3938.000000 1.0817073468E+00 1.0735743041E+04 +3937.000000 1.0817073466E+00 1.0733017541E+04 +3936.000000 1.0817073464E+00 1.0730292040E+04 +3935.000000 1.0817073461E+00 1.0727566540E+04 +3934.000000 1.0817073459E+00 1.0724841039E+04 +3933.000000 1.0817073457E+00 1.0722115539E+04 +3932.000000 1.0817073455E+00 1.0719390038E+04 +3931.000000 1.0817073453E+00 1.0716664538E+04 +3930.000000 1.0817073450E+00 1.0713939037E+04 +3929.000000 1.0817073448E+00 1.0711213537E+04 +3928.000000 1.0817073446E+00 1.0708488037E+04 +3927.000000 1.0817073444E+00 1.0705762536E+04 +3926.000000 1.0817073441E+00 1.0703037036E+04 +3925.000000 1.0817073439E+00 1.0700311535E+04 +3924.000000 1.0817073437E+00 1.0697586035E+04 +3923.000000 1.0817073434E+00 1.0694860534E+04 +3922.000000 1.0817073432E+00 1.0692135034E+04 +3921.000000 1.0817073430E+00 1.0689409533E+04 +3920.000000 1.0817073427E+00 1.0686684033E+04 +3919.000000 1.0817073425E+00 1.0683958532E+04 +3918.000000 1.0817073422E+00 1.0681233032E+04 +3917.000000 1.0817073420E+00 1.0678507531E+04 +3916.000000 1.0817073417E+00 1.0675782031E+04 +3915.000000 1.0817073415E+00 1.0673056531E+04 +3914.000000 1.0817073412E+00 1.0670331030E+04 +3913.000000 1.0817073410E+00 1.0667605530E+04 +3912.000000 1.0817073407E+00 1.0664880029E+04 +3911.000000 1.0817073405E+00 1.0662154529E+04 +3910.000000 1.0817073402E+00 1.0659429028E+04 +3909.000000 1.0817073400E+00 1.0656703528E+04 +3908.000000 1.0817073397E+00 1.0653978027E+04 +3907.000000 1.0817073394E+00 1.0651252527E+04 +3906.000000 1.0817073392E+00 1.0648527026E+04 +3905.000000 1.0817073389E+00 1.0645801526E+04 +3904.000000 1.0817073387E+00 1.0643076025E+04 +3903.000000 1.0817073384E+00 1.0640350525E+04 +3902.000000 1.0817073381E+00 1.0637625024E+04 +3901.000000 1.0817073378E+00 1.0634899524E+04 +3900.000000 1.0817073376E+00 1.0632174024E+04 +3899.000000 1.0817073373E+00 1.0629448523E+04 +3898.000000 1.0817073370E+00 1.0626723023E+04 +3897.000000 1.0817073367E+00 1.0623997522E+04 +3896.000000 1.0817073364E+00 1.0621272022E+04 +3895.000000 1.0817073362E+00 1.0618546521E+04 +3894.000000 1.0817073359E+00 1.0615821021E+04 +3893.000000 1.0817073356E+00 1.0613095520E+04 +3892.000000 1.0817073353E+00 1.0610370020E+04 +3891.000000 1.0817073350E+00 1.0607644519E+04 +3890.000000 1.0817073347E+00 1.0604919019E+04 +3889.000000 1.0817073344E+00 1.0602193518E+04 +3888.000000 1.0817073341E+00 1.0599468018E+04 +3887.000000 1.0817073338E+00 1.0596742517E+04 +3886.000000 1.0817073335E+00 1.0594017017E+04 +3885.000000 1.0817073332E+00 1.0591291517E+04 +3884.000000 1.0817073329E+00 1.0588566016E+04 +3883.000000 1.0817073326E+00 1.0585840516E+04 +3882.000000 1.0817073323E+00 1.0583115015E+04 +3881.000000 1.0817073319E+00 1.0580389515E+04 +3880.000000 1.0817073316E+00 1.0577664014E+04 +3879.000000 1.0817073313E+00 1.0574938514E+04 +3878.000000 1.0817073310E+00 1.0572213013E+04 +3877.000000 1.0817073307E+00 1.0569487513E+04 +3876.000000 1.0817073303E+00 1.0566762012E+04 +3875.000000 1.0817073300E+00 1.0564036512E+04 +3874.000000 1.0817073297E+00 1.0561311011E+04 +3873.000000 1.0817073293E+00 1.0558585511E+04 +3872.000000 1.0817073290E+00 1.0555860010E+04 +3871.000000 1.0817073287E+00 1.0553134510E+04 +3870.000000 1.0817073283E+00 1.0550409009E+04 +3869.000000 1.0817073280E+00 1.0547683509E+04 +3868.000000 1.0817073276E+00 1.0544958008E+04 +3867.000000 1.0817073273E+00 1.0542232508E+04 +3866.000000 1.0817073269E+00 1.0539507008E+04 +3865.000000 1.0817073266E+00 1.0536781507E+04 +3864.000000 1.0817073262E+00 1.0534056007E+04 +3863.000000 1.0817073259E+00 1.0531330506E+04 +3862.000000 1.0817073255E+00 1.0528605006E+04 +3861.000000 1.0817073252E+00 1.0525879505E+04 +3860.000000 1.0817073248E+00 1.0523154005E+04 +3859.000000 1.0817073244E+00 1.0520428504E+04 +3858.000000 1.0817073241E+00 1.0517703004E+04 +3857.000000 1.0817073237E+00 1.0514977503E+04 +3856.000000 1.0817073233E+00 1.0512252003E+04 +3855.000000 1.0817073229E+00 1.0509526502E+04 +3854.000000 1.0817073225E+00 1.0506801002E+04 +3853.000000 1.0817073222E+00 1.0504075501E+04 +3852.000000 1.0817073218E+00 1.0501350001E+04 +3851.000000 1.0817073214E+00 1.0498624500E+04 +3850.000000 1.0817073210E+00 1.0495899000E+04 +3849.000000 1.0817073206E+00 1.0493173499E+04 +3848.000000 1.0817073202E+00 1.0490447999E+04 +3847.000000 1.0817073198E+00 1.0487722498E+04 +3846.000000 1.0817073194E+00 1.0484996998E+04 +3845.000000 1.0817073190E+00 1.0482271497E+04 +3844.000000 1.0817073186E+00 1.0479545997E+04 +3843.000000 1.0817073182E+00 1.0476820497E+04 +3842.000000 1.0817073177E+00 1.0474094996E+04 +3841.000000 1.0817073173E+00 1.0471369496E+04 +3840.000000 1.0817073169E+00 1.0468643995E+04 +3839.000000 1.0817073165E+00 1.0465918495E+04 +3838.000000 1.0817073160E+00 1.0463192994E+04 +3837.000000 1.0817073156E+00 1.0460467494E+04 +3836.000000 1.0817073152E+00 1.0457741993E+04 +3835.000000 1.0817073147E+00 1.0455016493E+04 +3834.000000 1.0817073143E+00 1.0452290992E+04 +3833.000000 1.0817073139E+00 1.0449565492E+04 +3832.000000 1.0817073134E+00 1.0446839991E+04 +3831.000000 1.0817073130E+00 1.0444114491E+04 +3830.000000 1.0817073125E+00 1.0441388990E+04 +3829.000000 1.0817073121E+00 1.0438663490E+04 +3828.000000 1.0817073116E+00 1.0435937989E+04 +3827.000000 1.0817073111E+00 1.0433212489E+04 +3826.000000 1.0817073107E+00 1.0430486988E+04 +3825.000000 1.0817073102E+00 1.0427761488E+04 +3824.000000 1.0817073097E+00 1.0425035987E+04 +3823.000000 1.0817073092E+00 1.0422310487E+04 +3822.000000 1.0817073088E+00 1.0419584986E+04 +3821.000000 1.0817073083E+00 1.0416859486E+04 +3820.000000 1.0817073078E+00 1.0414133985E+04 +3819.000000 1.0817073073E+00 1.0411408485E+04 +3818.000000 1.0817073068E+00 1.0408682984E+04 +3817.000000 1.0817073063E+00 1.0405957484E+04 +3816.000000 1.0817073058E+00 1.0403231983E+04 +3815.000000 1.0817073053E+00 1.0400506483E+04 +3814.000000 1.0817073048E+00 1.0397780982E+04 +3813.000000 1.0817073043E+00 1.0395055482E+04 +3812.000000 1.0817073037E+00 1.0392329981E+04 +3811.000000 1.0817073032E+00 1.0389604481E+04 +3810.000000 1.0817073027E+00 1.0386878980E+04 +3809.000000 1.0817073022E+00 1.0384153480E+04 +3808.000000 1.0817073016E+00 1.0381427979E+04 +3807.000000 1.0817073011E+00 1.0378702479E+04 +3806.000000 1.0817073006E+00 1.0375976978E+04 +3805.000000 1.0817073000E+00 1.0373251478E+04 +3804.000000 1.0817072995E+00 1.0370525977E+04 +3803.000000 1.0817072989E+00 1.0367800477E+04 +3802.000000 1.0817072984E+00 1.0365074977E+04 +3801.000000 1.0817072978E+00 1.0362349476E+04 +3800.000000 1.0817072972E+00 1.0359623976E+04 +3799.000000 1.0817072967E+00 1.0356898475E+04 +3798.000000 1.0817072961E+00 1.0354172974E+04 +3797.000000 1.0817072955E+00 1.0351447474E+04 +3796.000000 1.0817072949E+00 1.0348721973E+04 +3795.000000 1.0817072943E+00 1.0345996473E+04 +3794.000000 1.0817072937E+00 1.0343270972E+04 +3793.000000 1.0817072931E+00 1.0340545472E+04 +3792.000000 1.0817072925E+00 1.0337819971E+04 +3791.000000 1.0817072919E+00 1.0335094471E+04 +3790.000000 1.0817072913E+00 1.0332368971E+04 +3789.000000 1.0817072907E+00 1.0329643470E+04 +3788.000000 1.0817072901E+00 1.0326917970E+04 +3787.000000 1.0817072895E+00 1.0324192469E+04 +3786.000000 1.0817072889E+00 1.0321466969E+04 +3785.000000 1.0817072882E+00 1.0318741468E+04 +3784.000000 1.0817072876E+00 1.0316015968E+04 +3783.000000 1.0817072869E+00 1.0313290467E+04 +3782.000000 1.0817072863E+00 1.0310564967E+04 +3781.000000 1.0817072856E+00 1.0307839466E+04 +3780.000000 1.0817072850E+00 1.0305113965E+04 +3779.000000 1.0817072843E+00 1.0302388465E+04 +3778.000000 1.0817072837E+00 1.0299662964E+04 +3777.000000 1.0817072830E+00 1.0296937464E+04 +3776.000000 1.0817072823E+00 1.0294211963E+04 +3775.000000 1.0817072816E+00 1.0291486463E+04 +3774.000000 1.0817072809E+00 1.0288760962E+04 +3773.000000 1.0817072803E+00 1.0286035462E+04 +3772.000000 1.0817072796E+00 1.0283309962E+04 +3771.000000 1.0817072789E+00 1.0280584461E+04 +3770.000000 1.0817072781E+00 1.0277858961E+04 +3769.000000 1.0817072774E+00 1.0275133460E+04 +3768.000000 1.0817072767E+00 1.0272407959E+04 +3767.000000 1.0817072760E+00 1.0269682459E+04 +3766.000000 1.0817072753E+00 1.0266956958E+04 +3765.000000 1.0817072745E+00 1.0264231458E+04 +3764.000000 1.0817072738E+00 1.0261505957E+04 +3763.000000 1.0817072730E+00 1.0258780457E+04 +3762.000000 1.0817072723E+00 1.0256054956E+04 +3761.000000 1.0817072715E+00 1.0253329456E+04 +3760.000000 1.0817072708E+00 1.0250603955E+04 +3759.000000 1.0817072700E+00 1.0247878455E+04 +3758.000000 1.0817072692E+00 1.0245152954E+04 +3757.000000 1.0817072685E+00 1.0242427454E+04 +3756.000000 1.0817072677E+00 1.0239701953E+04 +3755.000000 1.0817072669E+00 1.0236976453E+04 +3754.000000 1.0817072661E+00 1.0234250952E+04 +3753.000000 1.0817072653E+00 1.0231525452E+04 +3752.000000 1.0817072645E+00 1.0228799951E+04 +3751.000000 1.0817072636E+00 1.0226074451E+04 +3750.000000 1.0817072628E+00 1.0223348950E+04 +3749.000000 1.0817072620E+00 1.0220623450E+04 +3748.000000 1.0817072612E+00 1.0217897949E+04 +3747.000000 1.0817072603E+00 1.0215172449E+04 +3746.000000 1.0817072595E+00 1.0212446948E+04 +3745.000000 1.0817072586E+00 1.0209721448E+04 +3744.000000 1.0817072578E+00 1.0206995947E+04 +3743.000000 1.0817072569E+00 1.0204270447E+04 +3742.000000 1.0817072560E+00 1.0201544946E+04 +3741.000000 1.0817072551E+00 1.0198819446E+04 +3740.000000 1.0817072542E+00 1.0196093945E+04 +3739.000000 1.0817072534E+00 1.0193368445E+04 +3738.000000 1.0817072525E+00 1.0190642944E+04 +3737.000000 1.0817072515E+00 1.0187917444E+04 +3736.000000 1.0817072506E+00 1.0185191943E+04 +3735.000000 1.0817072497E+00 1.0182466443E+04 +3734.000000 1.0817072488E+00 1.0179740942E+04 +3733.000000 1.0817072478E+00 1.0177015442E+04 +3732.000000 1.0817072469E+00 1.0174289941E+04 +3731.000000 1.0817072459E+00 1.0171564441E+04 +3730.000000 1.0817072450E+00 1.0168838940E+04 +3729.000000 1.0817072440E+00 1.0166113440E+04 +3728.000000 1.0817072431E+00 1.0163387939E+04 +3727.000000 1.0817072421E+00 1.0160662439E+04 +3726.000000 1.0817072411E+00 1.0157936938E+04 +3725.000000 1.0817072401E+00 1.0155211437E+04 +3724.000000 1.0817072391E+00 1.0152485937E+04 +3723.000000 1.0817072381E+00 1.0149760436E+04 +3722.000000 1.0817072371E+00 1.0147034936E+04 +3721.000000 1.0817072360E+00 1.0144309435E+04 +3720.000000 1.0817072350E+00 1.0141583935E+04 +3719.000000 1.0817072340E+00 1.0138858434E+04 +3718.000000 1.0817072329E+00 1.0136132934E+04 +3717.000000 1.0817072318E+00 1.0133407433E+04 +3716.000000 1.0817072308E+00 1.0130681933E+04 +3715.000000 1.0817072297E+00 1.0127956432E+04 +3714.000000 1.0817072286E+00 1.0125230932E+04 +3713.000000 1.0817072275E+00 1.0122505431E+04 +3712.000000 1.0817072264E+00 1.0119779931E+04 +3711.000000 1.0817072253E+00 1.0117054430E+04 +3710.000000 1.0817072242E+00 1.0114328930E+04 +3709.000000 1.0817072231E+00 1.0111603429E+04 +3708.000000 1.0817072219E+00 1.0108877929E+04 +3707.000000 1.0817072208E+00 1.0106152428E+04 +3706.000000 1.0817072196E+00 1.0103426928E+04 +3705.000000 1.0817072185E+00 1.0100701427E+04 +3704.000000 1.0817072173E+00 1.0097975926E+04 +3703.000000 1.0817072161E+00 1.0095250426E+04 +3702.000000 1.0817072149E+00 1.0092524925E+04 +3701.000000 1.0817072137E+00 1.0089799425E+04 +3700.000000 1.0817072125E+00 1.0087073924E+04 +3699.000000 1.0817072113E+00 1.0084348424E+04 +3698.000000 1.0817072101E+00 1.0081622923E+04 +3697.000000 1.0817072088E+00 1.0078897423E+04 +3696.000000 1.0817072076E+00 1.0076171922E+04 +3695.000000 1.0817072063E+00 1.0073446422E+04 +3694.000000 1.0817072051E+00 1.0070720921E+04 +3693.000000 1.0817072038E+00 1.0067995421E+04 +3692.000000 1.0817072025E+00 1.0065269920E+04 +3691.000000 1.0817072012E+00 1.0062544420E+04 +3690.000000 1.0817071999E+00 1.0059818919E+04 +3689.000000 1.0817071986E+00 1.0057093419E+04 +3688.000000 1.0817071973E+00 1.0054367918E+04 +3687.000000 1.0817071959E+00 1.0051642417E+04 +3686.000000 1.0817071946E+00 1.0048916917E+04 +3685.000000 1.0817071932E+00 1.0046191416E+04 +3684.000000 1.0817071919E+00 1.0043465916E+04 +3683.000000 1.0817071905E+00 1.0040740415E+04 +3682.000000 1.0817071891E+00 1.0038014915E+04 +3681.000000 1.0817071877E+00 1.0035289414E+04 +3680.000000 1.0817071863E+00 1.0032563914E+04 +3679.000000 1.0817071849E+00 1.0029838413E+04 +3678.000000 1.0817071834E+00 1.0027112913E+04 +3677.000000 1.0817071820E+00 1.0024387412E+04 +3676.000000 1.0817071805E+00 1.0021661912E+04 +3675.000000 1.0817071790E+00 1.0018936411E+04 +3674.000000 1.0817071776E+00 1.0016210911E+04 +3673.000000 1.0817071761E+00 1.0013485410E+04 +3672.000000 1.0817071746E+00 1.0010759909E+04 +3671.000000 1.0817071730E+00 1.0008034409E+04 +3670.000000 1.0817071715E+00 1.0005308908E+04 +3669.000000 1.0817071700E+00 1.0002583408E+04 +3668.000000 1.0817071684E+00 9.9998579073E+03 +3667.000000 1.0817071669E+00 9.9971324068E+03 +3666.000000 1.0817071653E+00 9.9944069063E+03 +3665.000000 1.0817071637E+00 9.9916814057E+03 +3664.000000 1.0817071621E+00 9.9889559052E+03 +3663.000000 1.0817071605E+00 9.9862304046E+03 +3662.000000 1.0817071588E+00 9.9835049041E+03 +3661.000000 1.0817071572E+00 9.9807794035E+03 +3660.000000 1.0817071555E+00 9.9780539030E+03 +3659.000000 1.0817071539E+00 9.9753284024E+03 +3658.000000 1.0817071522E+00 9.9726029019E+03 +3657.000000 1.0817071505E+00 9.9698774013E+03 +3656.000000 1.0817071488E+00 9.9671519008E+03 +3655.000000 1.0817071471E+00 9.9644264003E+03 +3654.000000 1.0817071453E+00 9.9617008997E+03 +3653.000000 1.0817071436E+00 9.9589753992E+03 +3652.000000 1.0817071418E+00 9.9562498987E+03 +3651.000000 1.0817071400E+00 9.9535243981E+03 +3650.000000 1.0817071382E+00 9.9507988976E+03 +3649.000000 1.0817071364E+00 9.9480733970E+03 +3648.000000 1.0817071346E+00 9.9453478965E+03 +3647.000000 1.0817071328E+00 9.9426223959E+03 +3646.000000 1.0817071309E+00 9.9398968954E+03 +3645.000000 1.0817071291E+00 9.9371713948E+03 +3644.000000 1.0817071272E+00 9.9344458943E+03 +3643.000000 1.0817071253E+00 9.9317203937E+03 +3642.000000 1.0817071234E+00 9.9289948932E+03 +3641.000000 1.0817071214E+00 9.9262693926E+03 +3640.000000 1.0817071195E+00 9.9235438921E+03 +3639.000000 1.0817071175E+00 9.9208183916E+03 +3638.000000 1.0817071156E+00 9.9180928910E+03 +3637.000000 1.0817071136E+00 9.9153673905E+03 +3636.000000 1.0817071116E+00 9.9126418899E+03 +3635.000000 1.0817071096E+00 9.9099163894E+03 +3634.000000 1.0817071075E+00 9.9071908888E+03 +3633.000000 1.0817071055E+00 9.9044653882E+03 +3632.000000 1.0817071034E+00 9.9017398877E+03 +3631.000000 1.0817071013E+00 9.8990143871E+03 +3630.000000 1.0817070992E+00 9.8962888866E+03 +3629.000000 1.0817070971E+00 9.8935633860E+03 +3628.000000 1.0817070949E+00 9.8908378855E+03 +3627.000000 1.0817070928E+00 9.8881123849E+03 +3626.000000 1.0817070906E+00 9.8853868844E+03 +3625.000000 1.0817070884E+00 9.8826613838E+03 +3624.000000 1.0817070862E+00 9.8799358833E+03 +3623.000000 1.0817070840E+00 9.8772103828E+03 +3622.000000 1.0817070817E+00 9.8744848822E+03 +3621.000000 1.0817070795E+00 9.8717593816E+03 +3620.000000 1.0817070772E+00 9.8690338811E+03 +3619.000000 1.0817070749E+00 9.8663083805E+03 +3618.000000 1.0817070725E+00 9.8635828799E+03 +3617.000000 1.0817070702E+00 9.8608573794E+03 +3616.000000 1.0817070678E+00 9.8581318788E+03 +3615.000000 1.0817070655E+00 9.8554063783E+03 +3614.000000 1.0817070631E+00 9.8526808777E+03 +3613.000000 1.0817070607E+00 9.8499553772E+03 +3612.000000 1.0817070582E+00 9.8472298766E+03 +3611.000000 1.0817070558E+00 9.8445043761E+03 +3610.000000 1.0817070533E+00 9.8417788755E+03 +3609.000000 1.0817070508E+00 9.8390533750E+03 +3608.000000 1.0817070483E+00 9.8363278744E+03 +3607.000000 1.0817070457E+00 9.8336023738E+03 +3606.000000 1.0817070432E+00 9.8308768733E+03 +3605.000000 1.0817070406E+00 9.8281513727E+03 +3604.000000 1.0817070380E+00 9.8254258721E+03 +3603.000000 1.0817070354E+00 9.8227003716E+03 +3602.000000 1.0817070327E+00 9.8199748710E+03 +3601.000000 1.0817070300E+00 9.8172493704E+03 +3600.000000 1.0817070274E+00 9.8145238699E+03 +3599.000000 1.0817070246E+00 9.8117983693E+03 +3598.000000 1.0817070219E+00 9.8090728688E+03 +3597.000000 1.0817070191E+00 9.8063473682E+03 +3596.000000 1.0817070164E+00 9.8036218677E+03 +3595.000000 1.0817070136E+00 9.8008963671E+03 +3594.000000 1.0817070107E+00 9.7981708665E+03 +3593.000000 1.0817070079E+00 9.7954453660E+03 +3592.000000 1.0817070050E+00 9.7927198654E+03 +3591.000000 1.0817070021E+00 9.7899943648E+03 +3590.000000 1.0817069992E+00 9.7872688642E+03 +3589.000000 1.0817069963E+00 9.7845433637E+03 +3588.000000 1.0817069933E+00 9.7818178631E+03 +3587.000000 1.0817069903E+00 9.7790923625E+03 +3586.000000 1.0817069873E+00 9.7763668620E+03 +3585.000000 1.0817069842E+00 9.7736413614E+03 +3584.000000 1.0817069812E+00 9.7709158608E+03 +3583.000000 1.0817069781E+00 9.7681903603E+03 +3582.000000 1.0817069749E+00 9.7654648597E+03 +3581.000000 1.0817069718E+00 9.7627393592E+03 +3580.000000 1.0817069686E+00 9.7600138586E+03 +3579.000000 1.0817069654E+00 9.7572883580E+03 +3578.000000 1.0817069622E+00 9.7545628574E+03 +3577.000000 1.0817069589E+00 9.7518373569E+03 +3576.000000 1.0817069557E+00 9.7491118563E+03 +3575.000000 1.0817069524E+00 9.7463863557E+03 +3574.000000 1.0817069490E+00 9.7436608551E+03 +3573.000000 1.0817069457E+00 9.7409353546E+03 +3572.000000 1.0817069423E+00 9.7382098540E+03 +3571.000000 1.0817069388E+00 9.7354843534E+03 +3570.000000 1.0817069354E+00 9.7327588528E+03 +3569.000000 1.0817069319E+00 9.7300333523E+03 +3568.000000 1.0817069284E+00 9.7273078517E+03 +3567.000000 1.0817069249E+00 9.7245823511E+03 +3566.000000 1.0817069213E+00 9.7218568506E+03 +3565.000000 1.0817069177E+00 9.7191313500E+03 +3564.000000 1.0817069141E+00 9.7164058494E+03 +3563.000000 1.0817069104E+00 9.7136803488E+03 +3562.000000 1.0817069067E+00 9.7109548482E+03 +3561.000000 1.0817069030E+00 9.7082293477E+03 +3560.000000 1.0817068993E+00 9.7055038471E+03 +3559.000000 1.0817068955E+00 9.7027783465E+03 +3558.000000 1.0817068917E+00 9.7000528459E+03 +3557.000000 1.0817068878E+00 9.6973273453E+03 +3556.000000 1.0817068839E+00 9.6946018448E+03 +3555.000000 1.0817068800E+00 9.6918763442E+03 +3554.000000 1.0817068761E+00 9.6891508436E+03 +3553.000000 1.0817068721E+00 9.6864253431E+03 +3552.000000 1.0817068681E+00 9.6836998425E+03 +3551.000000 1.0817068640E+00 9.6809743419E+03 +3550.000000 1.0817068600E+00 9.6782488413E+03 +3549.000000 1.0817068558E+00 9.6755233407E+03 +3548.000000 1.0817068517E+00 9.6727978401E+03 +3547.000000 1.0817068475E+00 9.6700723396E+03 +3546.000000 1.0817068433E+00 9.6673468390E+03 +3545.000000 1.0817068390E+00 9.6646213384E+03 +3544.000000 1.0817068347E+00 9.6618958378E+03 +3543.000000 1.0817068304E+00 9.6591703372E+03 +3542.000000 1.0817068260E+00 9.6564448366E+03 +3541.000000 1.0817068216E+00 9.6537193361E+03 +3540.000000 1.0817068172E+00 9.6509938355E+03 +3539.000000 1.0817068127E+00 9.6482683349E+03 +3538.000000 1.0817068082E+00 9.6455428343E+03 +3537.000000 1.0817068036E+00 9.6428173338E+03 +3536.000000 1.0817067990E+00 9.6400918332E+03 +3535.000000 1.0817067944E+00 9.6373663326E+03 +3534.000000 1.0817067897E+00 9.6346408320E+03 +3533.000000 1.0817067850E+00 9.6319153314E+03 +3532.000000 1.0817067803E+00 9.6291898308E+03 +3531.000000 1.0817067755E+00 9.6264643302E+03 +3530.000000 1.0817067706E+00 9.6237388296E+03 +3529.000000 1.0817067657E+00 9.6210133290E+03 +3528.000000 1.0817067608E+00 9.6182878284E+03 +3527.000000 1.0817067559E+00 9.6155623278E+03 +3526.000000 1.0817067509E+00 9.6128368272E+03 +3525.000000 1.0817067458E+00 9.6101113267E+03 +3524.000000 1.0817067407E+00 9.6073858261E+03 +3523.000000 1.0817067356E+00 9.6046603255E+03 +3522.000000 1.0817067304E+00 9.6019348249E+03 +3521.000000 1.0817067252E+00 9.5992093243E+03 +3520.000000 1.0817067199E+00 9.5964838237E+03 +3519.000000 1.0817067146E+00 9.5937583231E+03 +3518.000000 1.0817067092E+00 9.5910328225E+03 +3517.000000 1.0817067038E+00 9.5883073219E+03 +3516.000000 1.0817066984E+00 9.5855818213E+03 +3515.000000 1.0817066929E+00 9.5828563207E+03 +3514.000000 1.0817066873E+00 9.5801308201E+03 +3513.000000 1.0817066817E+00 9.5774053195E+03 +3512.000000 1.0817066761E+00 9.5746798189E+03 +3511.000000 1.0817066704E+00 9.5719543184E+03 +3510.000000 1.0817066646E+00 9.5692288178E+03 +3509.000000 1.0817066588E+00 9.5665033172E+03 +3508.000000 1.0817066530E+00 9.5637778166E+03 +3507.000000 1.0817066471E+00 9.5610523160E+03 +3506.000000 1.0817066411E+00 9.5583268154E+03 +3505.000000 1.0817066351E+00 9.5556013148E+03 +3504.000000 1.0817066291E+00 9.5528758141E+03 +3503.000000 1.0817066230E+00 9.5501503135E+03 +3502.000000 1.0817066168E+00 9.5474248129E+03 +3501.000000 1.0817066106E+00 9.5446993123E+03 +3500.000000 1.0817066043E+00 9.5419738117E+03 +3499.000000 1.0817065980E+00 9.5392483112E+03 +3498.000000 1.0817065916E+00 9.5365228106E+03 +3497.000000 1.0817065852E+00 9.5337973100E+03 +3496.000000 1.0817065787E+00 9.5310718094E+03 +3495.000000 1.0817065722E+00 9.5283463088E+03 +3494.000000 1.0817065656E+00 9.5256208082E+03 +3493.000000 1.0817065589E+00 9.5228953076E+03 +3492.000000 1.0817065522E+00 9.5201698069E+03 +3491.000000 1.0817065454E+00 9.5174443063E+03 +3490.000000 1.0817065386E+00 9.5147188057E+03 +3489.000000 1.0817065317E+00 9.5119933051E+03 +3488.000000 1.0817065247E+00 9.5092678045E+03 +3487.000000 1.0817065177E+00 9.5065423039E+03 +3486.000000 1.0817065106E+00 9.5038168033E+03 +3485.000000 1.0817065035E+00 9.5010913027E+03 +3484.000000 1.0817064963E+00 9.4983658021E+03 +3483.000000 1.0817064890E+00 9.4956403015E+03 +3482.000000 1.0817064817E+00 9.4929148009E+03 +3481.000000 1.0817064743E+00 9.4901893003E+03 +3480.000000 1.0817064668E+00 9.4874637997E+03 +3479.000000 1.0817064593E+00 9.4847382991E+03 +3478.000000 1.0817064517E+00 9.4820127984E+03 +3477.000000 1.0817064440E+00 9.4792872978E+03 +3476.000000 1.0817064363E+00 9.4765617972E+03 +3475.000000 1.0817064285E+00 9.4738362966E+03 +3474.000000 1.0817064206E+00 9.4711107960E+03 +3473.000000 1.0817064127E+00 9.4683852954E+03 +3472.000000 1.0817064047E+00 9.4656597948E+03 +3471.000000 1.0817063966E+00 9.4629342942E+03 +3470.000000 1.0817063885E+00 9.4602087936E+03 +3469.000000 1.0817063802E+00 9.4574832930E+03 +3468.000000 1.0817063719E+00 9.4547577924E+03 +3467.000000 1.0817063636E+00 9.4520322918E+03 +3466.000000 1.0817063551E+00 9.4493067911E+03 +3465.000000 1.0817063466E+00 9.4465812905E+03 +3464.000000 1.0817063380E+00 9.4438557899E+03 +3463.000000 1.0817063293E+00 9.4411302892E+03 +3462.000000 1.0817063206E+00 9.4384047886E+03 +3461.000000 1.0817063118E+00 9.4356792880E+03 +3460.000000 1.0817063028E+00 9.4329537874E+03 +3459.000000 1.0817062939E+00 9.4302282868E+03 +3458.000000 1.0817062848E+00 9.4275027862E+03 +3457.000000 1.0817062756E+00 9.4247772855E+03 +3456.000000 1.0817062664E+00 9.4220517849E+03 +3455.000000 1.0817062571E+00 9.4193262843E+03 +3454.000000 1.0817062477E+00 9.4166007837E+03 +3453.000000 1.0817062382E+00 9.4138752831E+03 +3452.000000 1.0817062286E+00 9.4111497825E+03 +3451.000000 1.0817062190E+00 9.4084242818E+03 +3450.000000 1.0817062093E+00 9.4056987812E+03 +3449.000000 1.0817061994E+00 9.4029732806E+03 +3448.000000 1.0817061895E+00 9.4002477800E+03 +3447.000000 1.0817061795E+00 9.3975222793E+03 +3446.000000 1.0817061694E+00 9.3947967787E+03 +3445.000000 1.0817061592E+00 9.3920712781E+03 +3444.000000 1.0817061490E+00 9.3893457775E+03 +3443.000000 1.0817061386E+00 9.3866202768E+03 +3442.000000 1.0817061281E+00 9.3838947762E+03 +3441.000000 1.0817061176E+00 9.3811692756E+03 +3440.000000 1.0817061069E+00 9.3784437750E+03 +3439.000000 1.0817060962E+00 9.3757182744E+03 +3438.000000 1.0817060853E+00 9.3729927737E+03 +3437.000000 1.0817060744E+00 9.3702672731E+03 +3436.000000 1.0817060633E+00 9.3675417725E+03 +3435.000000 1.0817060522E+00 9.3648162718E+03 +3434.000000 1.0817060409E+00 9.3620907712E+03 +3433.000000 1.0817060296E+00 9.3593652706E+03 +3432.000000 1.0817060181E+00 9.3566397699E+03 +3431.000000 1.0817060066E+00 9.3539142693E+03 +3430.000000 1.0817059949E+00 9.3511887687E+03 +3429.000000 1.0817059832E+00 9.3484632681E+03 +3428.000000 1.0817059713E+00 9.3457377674E+03 +3427.000000 1.0817059593E+00 9.3430122668E+03 +3426.000000 1.0817059472E+00 9.3402867662E+03 +3425.000000 1.0817059350E+00 9.3375612656E+03 +3424.000000 1.0817059227E+00 9.3348357649E+03 +3423.000000 1.0817059103E+00 9.3321102643E+03 +3422.000000 1.0817058977E+00 9.3293847636E+03 +3421.000000 1.0817058851E+00 9.3266592630E+03 +3420.000000 1.0817058723E+00 9.3239337624E+03 +3419.000000 1.0817058594E+00 9.3212082617E+03 +3418.000000 1.0817058464E+00 9.3184827611E+03 +3417.000000 1.0817058333E+00 9.3157572605E+03 +3416.000000 1.0817058201E+00 9.3130317598E+03 +3415.000000 1.0817058067E+00 9.3103062592E+03 +3414.000000 1.0817057932E+00 9.3075807586E+03 +3413.000000 1.0817057796E+00 9.3048552579E+03 +3412.000000 1.0817057659E+00 9.3021297573E+03 +3411.000000 1.0817057520E+00 9.2994042567E+03 +3410.000000 1.0817057380E+00 9.2966787560E+03 +3409.000000 1.0817057239E+00 9.2939532554E+03 +3408.000000 1.0817057097E+00 9.2912277547E+03 +3407.000000 1.0817056953E+00 9.2885022541E+03 +3406.000000 1.0817056808E+00 9.2857767534E+03 +3405.000000 1.0817056661E+00 9.2830512528E+03 +3404.000000 1.0817056514E+00 9.2803257522E+03 +3403.000000 1.0817056365E+00 9.2776002515E+03 +3402.000000 1.0817056214E+00 9.2748747509E+03 +3401.000000 1.0817056062E+00 9.2721492502E+03 +3400.000000 1.0817055909E+00 9.2694237496E+03 +3399.000000 1.0817055754E+00 9.2666982490E+03 +3398.000000 1.0817055598E+00 9.2639727483E+03 +3397.000000 1.0817055440E+00 9.2612472477E+03 +3396.000000 1.0817055281E+00 9.2585217470E+03 +3395.000000 1.0817055120E+00 9.2557962464E+03 +3394.000000 1.0817054958E+00 9.2530707457E+03 +3393.000000 1.0817054795E+00 9.2503452451E+03 +3392.000000 1.0817054630E+00 9.2476197444E+03 +3391.000000 1.0817054463E+00 9.2448942438E+03 +3390.000000 1.0817054295E+00 9.2421687431E+03 +3389.000000 1.0817054125E+00 9.2394432425E+03 +3388.000000 1.0817053954E+00 9.2367177419E+03 +3387.000000 1.0817053781E+00 9.2339922412E+03 +3386.000000 1.0817053606E+00 9.2312667406E+03 +3385.000000 1.0817053430E+00 9.2285412399E+03 +3384.000000 1.0817053253E+00 9.2258157393E+03 +3383.000000 1.0817053073E+00 9.2230902386E+03 +3382.000000 1.0817052892E+00 9.2203647380E+03 +3381.000000 1.0817052709E+00 9.2176392373E+03 +3380.000000 1.0817052525E+00 9.2149137366E+03 +3379.000000 1.0817052338E+00 9.2121882360E+03 +3378.000000 1.0817052150E+00 9.2094627353E+03 +3377.000000 1.0817051961E+00 9.2067372347E+03 +3376.000000 1.0817051769E+00 9.2040117340E+03 +3375.000000 1.0817051576E+00 9.2012862334E+03 +3374.000000 1.0817051380E+00 9.1985607327E+03 +3373.000000 1.0817051183E+00 9.1958352321E+03 +3372.000000 1.0817050985E+00 9.1931097314E+03 +3371.000000 1.0817050784E+00 9.1903842308E+03 +3370.000000 1.0817050581E+00 9.1876587301E+03 +3369.000000 1.0817050377E+00 9.1849332295E+03 +3368.000000 1.0817050170E+00 9.1822077288E+03 +3367.000000 1.0817049962E+00 9.1794822281E+03 +3366.000000 1.0817049752E+00 9.1767567275E+03 +3365.000000 1.0817049539E+00 9.1740312268E+03 +3364.000000 1.0817049325E+00 9.1713057261E+03 +3363.000000 1.0817049108E+00 9.1685802255E+03 +3362.000000 1.0817048890E+00 9.1658547248E+03 +3361.000000 1.0817048670E+00 9.1631292242E+03 +3360.000000 1.0817048447E+00 9.1604037235E+03 +3359.000000 1.0817048222E+00 9.1576782229E+03 +3358.000000 1.0817047995E+00 9.1549527222E+03 +3357.000000 1.0817047766E+00 9.1522272216E+03 +3356.000000 1.0817047535E+00 9.1495017209E+03 +3355.000000 1.0817047302E+00 9.1467762202E+03 +3354.000000 1.0817047066E+00 9.1440507195E+03 +3353.000000 1.0817046829E+00 9.1413252189E+03 +3352.000000 1.0817046589E+00 9.1385997182E+03 +3351.000000 1.0817046346E+00 9.1358742175E+03 +3350.000000 1.0817046102E+00 9.1331487169E+03 +3349.000000 1.0817045855E+00 9.1304232162E+03 +3348.000000 1.0817045605E+00 9.1276977155E+03 +3347.000000 1.0817045353E+00 9.1249722149E+03 +3346.000000 1.0817045099E+00 9.1222467142E+03 +3345.000000 1.0817044843E+00 9.1195212136E+03 +3344.000000 1.0817044584E+00 9.1167957129E+03 +3343.000000 1.0817044322E+00 9.1140702122E+03 +3342.000000 1.0817044058E+00 9.1113447115E+03 +3341.000000 1.0817043792E+00 9.1086192109E+03 +3340.000000 1.0817043523E+00 9.1058937102E+03 +3339.000000 1.0817043251E+00 9.1031682095E+03 +3338.000000 1.0817042977E+00 9.1004427088E+03 +3337.000000 1.0817042700E+00 9.0977172082E+03 +3336.000000 1.0817042420E+00 9.0949917075E+03 +3335.000000 1.0817042138E+00 9.0922662068E+03 +3334.000000 1.0817041853E+00 9.0895407062E+03 +3333.000000 1.0817041565E+00 9.0868152055E+03 +3332.000000 1.0817041275E+00 9.0840897048E+03 +3331.000000 1.0817040982E+00 9.0813642042E+03 +3330.000000 1.0817040686E+00 9.0786387035E+03 +3329.000000 1.0817040387E+00 9.0759132028E+03 +3328.000000 1.0817040085E+00 9.0731877021E+03 +3327.000000 1.0817039780E+00 9.0704622014E+03 +3326.000000 1.0817039472E+00 9.0677367008E+03 +3325.000000 1.0817039162E+00 9.0650112001E+03 +3324.000000 1.0817038848E+00 9.0622856994E+03 +3323.000000 1.0817038531E+00 9.0595601987E+03 +3322.000000 1.0817038212E+00 9.0568346980E+03 +3321.000000 1.0817037889E+00 9.0541091974E+03 +3320.000000 1.0817037563E+00 9.0513836967E+03 +3319.000000 1.0817037233E+00 9.0486581960E+03 +3318.000000 1.0817036901E+00 9.0459326954E+03 +3317.000000 1.0817036565E+00 9.0432071947E+03 +3316.000000 1.0817036227E+00 9.0404816940E+03 +3315.000000 1.0817035885E+00 9.0377561933E+03 +3314.000000 1.0817035539E+00 9.0350306926E+03 +3313.000000 1.0817035190E+00 9.0323051919E+03 +3312.000000 1.0817034838E+00 9.0295796912E+03 +3311.000000 1.0817034482E+00 9.0268541905E+03 +3310.000000 1.0817034123E+00 9.0241286899E+03 +3309.000000 1.0817033761E+00 9.0214031892E+03 +3308.000000 1.0817033394E+00 9.0186776885E+03 +3307.000000 1.0817033025E+00 9.0159521878E+03 +3306.000000 1.0817032651E+00 9.0132266871E+03 +3305.000000 1.0817032274E+00 9.0105011865E+03 +3304.000000 1.0817031893E+00 9.0077756858E+03 +3303.000000 1.0817031509E+00 9.0050501851E+03 +3302.000000 1.0817031121E+00 9.0023246844E+03 +3301.000000 1.0817030729E+00 8.9995991837E+03 +3300.000000 1.0817030333E+00 8.9968736830E+03 +3299.000000 1.0817029933E+00 8.9941481823E+03 +3298.000000 1.0817029529E+00 8.9914226816E+03 +3297.000000 1.0817029122E+00 8.9886971809E+03 +3296.000000 1.0817028710E+00 8.9859716802E+03 +3295.000000 1.0817028294E+00 8.9832461795E+03 +3294.000000 1.0817027874E+00 8.9805206788E+03 +3293.000000 1.0817027450E+00 8.9777951782E+03 +3292.000000 1.0817027022E+00 8.9750696775E+03 +3291.000000 1.0817026590E+00 8.9723441768E+03 +3290.000000 1.0817026153E+00 8.9696186761E+03 +3289.000000 1.0817025712E+00 8.9668931754E+03 +3288.000000 1.0817025267E+00 8.9641676747E+03 +3287.000000 1.0817024817E+00 8.9614421740E+03 +3286.000000 1.0817024363E+00 8.9587166733E+03 +3285.000000 1.0817023904E+00 8.9559911726E+03 +3284.000000 1.0817023441E+00 8.9532656719E+03 +3283.000000 1.0817022973E+00 8.9505401712E+03 +3282.000000 1.0817022501E+00 8.9478146705E+03 +3281.000000 1.0817022024E+00 8.9450891698E+03 +3280.000000 1.0817021542E+00 8.9423636691E+03 +3279.000000 1.0817021055E+00 8.9396381684E+03 +3278.000000 1.0817020563E+00 8.9369126677E+03 +3277.000000 1.0817020067E+00 8.9341871670E+03 +3276.000000 1.0817019566E+00 8.9314616663E+03 +3275.000000 1.0817019060E+00 8.9287361656E+03 +3274.000000 1.0817018548E+00 8.9260106649E+03 +3273.000000 1.0817018032E+00 8.9232851642E+03 +3272.000000 1.0817017510E+00 8.9205596635E+03 +3271.000000 1.0817016983E+00 8.9178341628E+03 +3270.000000 1.0817016451E+00 8.9151086621E+03 +3269.000000 1.0817015914E+00 8.9123831614E+03 +3268.000000 1.0817015371E+00 8.9096576607E+03 +3267.000000 1.0817014822E+00 8.9069321600E+03 +3266.000000 1.0817014269E+00 8.9042066593E+03 +3265.000000 1.0817013709E+00 8.9014811586E+03 +3264.000000 1.0817013144E+00 8.8987556579E+03 +3263.000000 1.0817012574E+00 8.8960301571E+03 +3262.000000 1.0817011998E+00 8.8933046564E+03 +3261.000000 1.0817011416E+00 8.8905791557E+03 +3260.000000 1.0817010828E+00 8.8878536550E+03 +3259.000000 1.0817010234E+00 8.8851281543E+03 +3258.000000 1.0817009634E+00 8.8824026536E+03 +3257.000000 1.0817009028E+00 8.8796771529E+03 +3256.000000 1.0817008416E+00 8.8769516521E+03 +3255.000000 1.0817007798E+00 8.8742261514E+03 +3254.000000 1.0817007173E+00 8.8715006507E+03 +3253.000000 1.0817006543E+00 8.8687751500E+03 +3252.000000 1.0817005905E+00 8.8660496493E+03 +3251.000000 1.0817005262E+00 8.8633241486E+03 +3250.000000 1.0817004612E+00 8.8605986479E+03 +3249.000000 1.0817003955E+00 8.8578731472E+03 +3248.000000 1.0817003292E+00 8.8551476464E+03 +3247.000000 1.0817002622E+00 8.8524221457E+03 +3246.000000 1.0817001946E+00 8.8496966450E+03 +3245.000000 1.0817001262E+00 8.8469711443E+03 +3244.000000 1.0817000571E+00 8.8442456436E+03 +3243.000000 1.0816999874E+00 8.8415201428E+03 +3242.000000 1.0816999169E+00 8.8387946421E+03 +3241.000000 1.0816998457E+00 8.8360691414E+03 +3240.000000 1.0816997738E+00 8.8333436407E+03 +3239.000000 1.0816997011E+00 8.8306181400E+03 +3238.000000 1.0816996277E+00 8.8278926393E+03 +3237.000000 1.0816995536E+00 8.8251671385E+03 +3236.000000 1.0816994787E+00 8.8224416378E+03 +3235.000000 1.0816994031E+00 8.8197161371E+03 +3234.000000 1.0816993267E+00 8.8169906364E+03 +3233.000000 1.0816992495E+00 8.8142651356E+03 +3232.000000 1.0816991715E+00 8.8115396349E+03 +3231.000000 1.0816990927E+00 8.8088141342E+03 +3230.000000 1.0816990131E+00 8.8060886335E+03 +3229.000000 1.0816989326E+00 8.8033631327E+03 +3228.000000 1.0816988514E+00 8.8006376320E+03 +3227.000000 1.0816987693E+00 8.7979121313E+03 +3226.000000 1.0816986864E+00 8.7951866306E+03 +3225.000000 1.0816986026E+00 8.7924611299E+03 +3224.000000 1.0816985180E+00 8.7897356291E+03 +3223.000000 1.0816984325E+00 8.7870101284E+03 +3222.000000 1.0816983461E+00 8.7842846276E+03 +3221.000000 1.0816982589E+00 8.7815591269E+03 +3220.000000 1.0816981707E+00 8.7788336262E+03 +3219.000000 1.0816980816E+00 8.7761081254E+03 +3218.000000 1.0816979916E+00 8.7733826247E+03 +3217.000000 1.0816979007E+00 8.7706571240E+03 +3216.000000 1.0816978088E+00 8.7679316233E+03 +3215.000000 1.0816977160E+00 8.7652061225E+03 +3214.000000 1.0816976222E+00 8.7624806218E+03 +3213.000000 1.0816975274E+00 8.7597551211E+03 +3212.000000 1.0816974317E+00 8.7570296203E+03 +3211.000000 1.0816973350E+00 8.7543041196E+03 +3210.000000 1.0816972373E+00 8.7515786188E+03 +3209.000000 1.0816971386E+00 8.7488531181E+03 +3208.000000 1.0816970388E+00 8.7461276174E+03 +3207.000000 1.0816969380E+00 8.7434021166E+03 +3206.000000 1.0816968362E+00 8.7406766159E+03 +3205.000000 1.0816967333E+00 8.7379511151E+03 +3204.000000 1.0816966293E+00 8.7352256144E+03 +3203.000000 1.0816965242E+00 8.7325001137E+03 +3202.000000 1.0816964180E+00 8.7297746130E+03 +3201.000000 1.0816963108E+00 8.7270491122E+03 +3200.000000 1.0816962024E+00 8.7243236115E+03 +3199.000000 1.0816960929E+00 8.7215981107E+03 +3198.000000 1.0816959823E+00 8.7188726100E+03 +3197.000000 1.0816958705E+00 8.7161471092E+03 +3196.000000 1.0816957575E+00 8.7134216085E+03 +3195.000000 1.0816956433E+00 8.7106961077E+03 +3194.000000 1.0816955280E+00 8.7079706070E+03 +3193.000000 1.0816954114E+00 8.7052451062E+03 +3192.000000 1.0816952936E+00 8.7025196055E+03 +3191.000000 1.0816951746E+00 8.6997941048E+03 +3190.000000 1.0816950543E+00 8.6970686040E+03 +3189.000000 1.0816949328E+00 8.6943431033E+03 +3188.000000 1.0816948099E+00 8.6916176025E+03 +3187.000000 1.0816946858E+00 8.6888921018E+03 +3186.000000 1.0816945604E+00 8.6861666010E+03 +3185.000000 1.0816944337E+00 8.6834411003E+03 +3184.000000 1.0816943057E+00 8.6807155995E+03 +3183.000000 1.0816941763E+00 8.6779900988E+03 +3182.000000 1.0816940455E+00 8.6752645980E+03 +3181.000000 1.0816939134E+00 8.6725390972E+03 +3180.000000 1.0816937798E+00 8.6698135965E+03 +3179.000000 1.0816936448E+00 8.6670880957E+03 +3178.000000 1.0816935084E+00 8.6643625950E+03 +3177.000000 1.0816933706E+00 8.6616370943E+03 +3176.000000 1.0816932312E+00 8.6589115935E+03 +3175.000000 1.0816930905E+00 8.6561860928E+03 +3174.000000 1.0816929482E+00 8.6534605920E+03 +3173.000000 1.0816928045E+00 8.6507350912E+03 +3172.000000 1.0816926592E+00 8.6480095905E+03 +3171.000000 1.0816925124E+00 8.6452840897E+03 +3170.000000 1.0816923640E+00 8.6425585889E+03 +3169.000000 1.0816922140E+00 8.6398330882E+03 +3168.000000 1.0816920624E+00 8.6371075874E+03 +3167.000000 1.0816919092E+00 8.6343820867E+03 +3166.000000 1.0816917544E+00 8.6316565859E+03 +3165.000000 1.0816915979E+00 8.6289310852E+03 +3164.000000 1.0816914397E+00 8.6262055844E+03 +3163.000000 1.0816912799E+00 8.6234800837E+03 +3162.000000 1.0816911183E+00 8.6207545829E+03 +3161.000000 1.0816909551E+00 8.6180290821E+03 +3160.000000 1.0816907901E+00 8.6153035814E+03 +3159.000000 1.0816906234E+00 8.6125780806E+03 +3158.000000 1.0816904548E+00 8.6098525798E+03 +3157.000000 1.0816902845E+00 8.6071270790E+03 +3156.000000 1.0816901123E+00 8.6044015783E+03 +3155.000000 1.0816899383E+00 8.6016760775E+03 +3154.000000 1.0816897623E+00 8.5989505767E+03 +3153.000000 1.0816895845E+00 8.5962250760E+03 +3152.000000 1.0816894048E+00 8.5934995752E+03 +3151.000000 1.0816892231E+00 8.5907740745E+03 +3150.000000 1.0816890395E+00 8.5880485737E+03 +3149.000000 1.0816888539E+00 8.5853230729E+03 +3148.000000 1.0816886664E+00 8.5825975721E+03 +3147.000000 1.0816884769E+00 8.5798720714E+03 +3146.000000 1.0816882852E+00 8.5771465706E+03 +3145.000000 1.0816880916E+00 8.5744210698E+03 +3144.000000 1.0816878958E+00 8.5716955690E+03 +3143.000000 1.0816876979E+00 8.5689700683E+03 +3142.000000 1.0816874978E+00 8.5662445675E+03 +3141.000000 1.0816872956E+00 8.5635190667E+03 +3140.000000 1.0816870912E+00 8.5607935659E+03 +3139.000000 1.0816868845E+00 8.5580680652E+03 +3138.000000 1.0816866756E+00 8.5553425644E+03 +3137.000000 1.0816864645E+00 8.5526170637E+03 +3136.000000 1.0816862511E+00 8.5498915629E+03 +3135.000000 1.0816860354E+00 8.5471660621E+03 +3134.000000 1.0816858174E+00 8.5444405613E+03 +3133.000000 1.0816855969E+00 8.5417150605E+03 +3132.000000 1.0816853741E+00 8.5389895597E+03 +3131.000000 1.0816851488E+00 8.5362640589E+03 +3130.000000 1.0816849211E+00 8.5335385581E+03 +3129.000000 1.0816846909E+00 8.5308130574E+03 +3128.000000 1.0816844582E+00 8.5280875566E+03 +3127.000000 1.0816842229E+00 8.5253620558E+03 +3126.000000 1.0816839850E+00 8.5226365550E+03 +3125.000000 1.0816837445E+00 8.5199110543E+03 +3124.000000 1.0816835015E+00 8.5171855535E+03 +3123.000000 1.0816832558E+00 8.5144600527E+03 +3122.000000 1.0816830074E+00 8.5117345519E+03 +3121.000000 1.0816827563E+00 8.5090090511E+03 +3120.000000 1.0816825025E+00 8.5062835503E+03 +3119.000000 1.0816822458E+00 8.5035580495E+03 +3118.000000 1.0816819864E+00 8.5008325487E+03 +3117.000000 1.0816817240E+00 8.4981070479E+03 +3116.000000 1.0816814588E+00 8.4953815472E+03 +3115.000000 1.0816811906E+00 8.4926560464E+03 +3114.000000 1.0816809195E+00 8.4899305456E+03 +3113.000000 1.0816806454E+00 8.4872050448E+03 +3112.000000 1.0816803683E+00 8.4844795440E+03 +3111.000000 1.0816800882E+00 8.4817540432E+03 +3110.000000 1.0816798050E+00 8.4790285424E+03 +3109.000000 1.0816795187E+00 8.4763030416E+03 +3108.000000 1.0816792292E+00 8.4735775408E+03 +3107.000000 1.0816789365E+00 8.4708520400E+03 +3106.000000 1.0816786406E+00 8.4681265392E+03 +3105.000000 1.0816783413E+00 8.4654010384E+03 +3104.000000 1.0816780388E+00 8.4626755376E+03 +3103.000000 1.0816777329E+00 8.4599500368E+03 +3102.000000 1.0816774236E+00 8.4572245360E+03 +3101.000000 1.0816771108E+00 8.4544990353E+03 +3100.000000 1.0816767946E+00 8.4517735345E+03 +3099.000000 1.0816764749E+00 8.4490480337E+03 +3098.000000 1.0816761517E+00 8.4463225329E+03 +3097.000000 1.0816758249E+00 8.4435970320E+03 +3096.000000 1.0816754945E+00 8.4408715312E+03 +3095.000000 1.0816751604E+00 8.4381460304E+03 +3094.000000 1.0816748225E+00 8.4354205296E+03 +3093.000000 1.0816744809E+00 8.4326950288E+03 +3092.000000 1.0816741354E+00 8.4299695280E+03 +3091.000000 1.0816737861E+00 8.4272440272E+03 +3090.000000 1.0816734328E+00 8.4245185264E+03 +3089.000000 1.0816730756E+00 8.4217930256E+03 +3088.000000 1.0816727144E+00 8.4190675248E+03 +3087.000000 1.0816723492E+00 8.4163420240E+03 +3086.000000 1.0816719800E+00 8.4136165232E+03 +3085.000000 1.0816716066E+00 8.4108910224E+03 +3084.000000 1.0816712291E+00 8.4081655216E+03 +3083.000000 1.0816708473E+00 8.4054400208E+03 +3082.000000 1.0816704612E+00 8.4027145199E+03 +3081.000000 1.0816700708E+00 8.3999890191E+03 +3080.000000 1.0816696759E+00 8.3972635183E+03 +3079.000000 1.0816692766E+00 8.3945380175E+03 +3078.000000 1.0816688728E+00 8.3918125167E+03 +3077.000000 1.0816684644E+00 8.3890870159E+03 +3076.000000 1.0816680515E+00 8.3863615151E+03 +3075.000000 1.0816676338E+00 8.3836360143E+03 +3074.000000 1.0816672116E+00 8.3809105135E+03 +3073.000000 1.0816667847E+00 8.3781850126E+03 +3072.000000 1.0816663529E+00 8.3754595118E+03 +3071.000000 1.0816659162E+00 8.3727340110E+03 +3070.000000 1.0816654745E+00 8.3700085102E+03 +3069.000000 1.0816650279E+00 8.3672830093E+03 +3068.000000 1.0816645762E+00 8.3645575085E+03 +3067.000000 1.0816641193E+00 8.3618320077E+03 +3066.000000 1.0816636573E+00 8.3591065069E+03 +3065.000000 1.0816631899E+00 8.3563810061E+03 +3064.000000 1.0816627173E+00 8.3536555053E+03 +3063.000000 1.0816622393E+00 8.3509300045E+03 +3062.000000 1.0816617560E+00 8.3482045036E+03 +3061.000000 1.0816612672E+00 8.3454790028E+03 +3060.000000 1.0816607729E+00 8.3427535020E+03 +3059.000000 1.0816602730E+00 8.3400280011E+03 +3058.000000 1.0816597673E+00 8.3373025003E+03 +3057.000000 1.0816592558E+00 8.3345769995E+03 +3056.000000 1.0816587385E+00 8.3318514986E+03 +3055.000000 1.0816582153E+00 8.3291259978E+03 +3054.000000 1.0816576861E+00 8.3264004970E+03 +3053.000000 1.0816571508E+00 8.3236749962E+03 +3052.000000 1.0816566094E+00 8.3209494954E+03 +3051.000000 1.0816560618E+00 8.3182239945E+03 +3050.000000 1.0816555079E+00 8.3154984937E+03 +3049.000000 1.0816549479E+00 8.3127729929E+03 +3048.000000 1.0816543815E+00 8.3100474920E+03 +3047.000000 1.0816538085E+00 8.3073219912E+03 +3046.000000 1.0816532290E+00 8.3045964903E+03 +3045.000000 1.0816526428E+00 8.3018709895E+03 +3044.000000 1.0816520498E+00 8.2991454887E+03 +3043.000000 1.0816514500E+00 8.2964199878E+03 +3042.000000 1.0816508433E+00 8.2936944870E+03 +3041.000000 1.0816502295E+00 8.2909689862E+03 +3040.000000 1.0816496087E+00 8.2882434853E+03 +3039.000000 1.0816489807E+00 8.2855179845E+03 +3038.000000 1.0816483455E+00 8.2827924837E+03 +3037.000000 1.0816477032E+00 8.2800669828E+03 +3036.000000 1.0816470535E+00 8.2773414820E+03 +3035.000000 1.0816463963E+00 8.2746159811E+03 +3034.000000 1.0816457314E+00 8.2718904803E+03 +3033.000000 1.0816450589E+00 8.2691649794E+03 +3032.000000 1.0816443785E+00 8.2664394786E+03 +3031.000000 1.0816436903E+00 8.2637139778E+03 +3030.000000 1.0816429940E+00 8.2609884769E+03 +3029.000000 1.0816422896E+00 8.2582629761E+03 +3028.000000 1.0816415771E+00 8.2555374752E+03 +3027.000000 1.0816408563E+00 8.2528119744E+03 +3026.000000 1.0816401271E+00 8.2500864736E+03 +3025.000000 1.0816393898E+00 8.2473609727E+03 +3024.000000 1.0816386438E+00 8.2446354719E+03 +3023.000000 1.0816378892E+00 8.2419099710E+03 +3022.000000 1.0816371258E+00 8.2391844701E+03 +3021.000000 1.0816363534E+00 8.2364589693E+03 +3020.000000 1.0816355721E+00 8.2337334684E+03 +3019.000000 1.0816347816E+00 8.2310079676E+03 +3018.000000 1.0816339818E+00 8.2282824667E+03 +3017.000000 1.0816331728E+00 8.2255569659E+03 +3016.000000 1.0816323542E+00 8.2228314651E+03 +3015.000000 1.0816315261E+00 8.2201059642E+03 +3014.000000 1.0816306882E+00 8.2173804634E+03 +3013.000000 1.0816298409E+00 8.2146549625E+03 +3012.000000 1.0816289838E+00 8.2119294616E+03 +3011.000000 1.0816281165E+00 8.2092039608E+03 +3010.000000 1.0816272391E+00 8.2064784599E+03 +3009.000000 1.0816263514E+00 8.2037529590E+03 +3008.000000 1.0816254532E+00 8.2010274582E+03 +3007.000000 1.0816245445E+00 8.1983019573E+03 +3006.000000 1.0816236251E+00 8.1955764565E+03 +3005.000000 1.0816226948E+00 8.1928509556E+03 +3004.000000 1.0816217536E+00 8.1901254548E+03 +3003.000000 1.0816208014E+00 8.1873999539E+03 +3002.000000 1.0816198379E+00 8.1846744531E+03 +3001.000000 1.0816188634E+00 8.1819489522E+03 +3000.000000 1.0816178775E+00 8.1792234513E+03 +2999.000000 1.0816168800E+00 8.1764979504E+03 +2998.000000 1.0816158707E+00 8.1737724496E+03 +2997.000000 1.0816148494E+00 8.1710469487E+03 +2996.000000 1.0816138161E+00 8.1683214478E+03 +2995.000000 1.0816127706E+00 8.1655959470E+03 +2994.000000 1.0816117127E+00 8.1628704461E+03 +2993.000000 1.0816106422E+00 8.1601449452E+03 +2992.000000 1.0816095591E+00 8.1574194444E+03 +2991.000000 1.0816084632E+00 8.1546939435E+03 +2990.000000 1.0816073542E+00 8.1519684427E+03 +2989.000000 1.0816062326E+00 8.1492429418E+03 +2988.000000 1.0816050977E+00 8.1465174409E+03 +2987.000000 1.0816039494E+00 8.1437919400E+03 +2986.000000 1.0816027874E+00 8.1410664391E+03 +2985.000000 1.0816016116E+00 8.1383409382E+03 +2984.000000 1.0816004218E+00 8.1356154374E+03 +2983.000000 1.0815992179E+00 8.1328899365E+03 +2982.000000 1.0815979997E+00 8.1301644356E+03 +2981.000000 1.0815967669E+00 8.1274389347E+03 +2980.000000 1.0815955195E+00 8.1247134339E+03 +2979.000000 1.0815942572E+00 8.1219879330E+03 +2978.000000 1.0815929799E+00 8.1192624321E+03 +2977.000000 1.0815916879E+00 8.1165369312E+03 +2976.000000 1.0815903805E+00 8.1138114304E+03 +2975.000000 1.0815890576E+00 8.1110859295E+03 +2974.000000 1.0815877189E+00 8.1083604286E+03 +2973.000000 1.0815863641E+00 8.1056349277E+03 +2972.000000 1.0815849932E+00 8.1029094268E+03 +2971.000000 1.0815836059E+00 8.1001839259E+03 +2970.000000 1.0815822020E+00 8.0974584250E+03 +2969.000000 1.0815807813E+00 8.0947329242E+03 +2968.000000 1.0815793437E+00 8.0920074233E+03 +2967.000000 1.0815778888E+00 8.0892819224E+03 +2966.000000 1.0815764166E+00 8.0865564215E+03 +2965.000000 1.0815749274E+00 8.0838309206E+03 +2964.000000 1.0815734203E+00 8.0811054197E+03 +2963.000000 1.0815718952E+00 8.0783799188E+03 +2962.000000 1.0815703518E+00 8.0756544179E+03 +2961.000000 1.0815687899E+00 8.0729289170E+03 +2960.000000 1.0815672092E+00 8.0702034161E+03 +2959.000000 1.0815656096E+00 8.0674779152E+03 +2958.000000 1.0815639908E+00 8.0647524144E+03 +2957.000000 1.0815623526E+00 8.0620269135E+03 +2956.000000 1.0815606947E+00 8.0593014126E+03 +2955.000000 1.0815590170E+00 8.0565759117E+03 +2954.000000 1.0815573192E+00 8.0538504108E+03 +2953.000000 1.0815556016E+00 8.0511249099E+03 +2952.000000 1.0815538634E+00 8.0483994090E+03 +2951.000000 1.0815521043E+00 8.0456739081E+03 +2950.000000 1.0815503240E+00 8.0429484072E+03 +2949.000000 1.0815485224E+00 8.0402229063E+03 +2948.000000 1.0815466991E+00 8.0374974054E+03 +2947.000000 1.0815448538E+00 8.0347719045E+03 +2946.000000 1.0815429863E+00 8.0320464036E+03 +2945.000000 1.0815410964E+00 8.0293209027E+03 +2944.000000 1.0815391838E+00 8.0265954018E+03 +2943.000000 1.0815372481E+00 8.0238699009E+03 +2942.000000 1.0815352895E+00 8.0211444000E+03 +2941.000000 1.0815333078E+00 8.0184188991E+03 +2940.000000 1.0815313022E+00 8.0156933981E+03 +2939.000000 1.0815292725E+00 8.0129678972E+03 +2938.000000 1.0815272183E+00 8.0102423963E+03 +2937.000000 1.0815251395E+00 8.0075168954E+03 +2936.000000 1.0815230356E+00 8.0047913945E+03 +2935.000000 1.0815209063E+00 8.0020658936E+03 +2934.000000 1.0815187514E+00 7.9993403927E+03 +2933.000000 1.0815165706E+00 7.9966148918E+03 +2932.000000 1.0815143636E+00 7.9938893909E+03 +2931.000000 1.0815121300E+00 7.9911638900E+03 +2930.000000 1.0815098700E+00 7.9884383890E+03 +2929.000000 1.0815075831E+00 7.9857128881E+03 +2928.000000 1.0815052687E+00 7.9829873872E+03 +2927.000000 1.0815029265E+00 7.9802618863E+03 +2926.000000 1.0815005561E+00 7.9775363853E+03 +2925.000000 1.0814981571E+00 7.9748108844E+03 +2924.000000 1.0814957293E+00 7.9720853835E+03 +2923.000000 1.0814932723E+00 7.9693598826E+03 +2922.000000 1.0814907858E+00 7.9666343817E+03 +2921.000000 1.0814882694E+00 7.9639088808E+03 +2920.000000 1.0814857228E+00 7.9611833798E+03 +2919.000000 1.0814831456E+00 7.9584578789E+03 +2918.000000 1.0814805381E+00 7.9557323780E+03 +2917.000000 1.0814778995E+00 7.9530068771E+03 +2916.000000 1.0814752291E+00 7.9502813761E+03 +2915.000000 1.0814725268E+00 7.9475558752E+03 +2914.000000 1.0814697920E+00 7.9448303743E+03 +2913.000000 1.0814670244E+00 7.9421048733E+03 +2912.000000 1.0814642237E+00 7.9393793724E+03 +2911.000000 1.0814613894E+00 7.9366538715E+03 +2910.000000 1.0814585212E+00 7.9339283706E+03 +2909.000000 1.0814556187E+00 7.9312028696E+03 +2908.000000 1.0814526815E+00 7.9284773687E+03 +2907.000000 1.0814497095E+00 7.9257518678E+03 +2906.000000 1.0814467024E+00 7.9230263668E+03 +2905.000000 1.0814436594E+00 7.9203008659E+03 +2904.000000 1.0814405801E+00 7.9175753650E+03 +2903.000000 1.0814374642E+00 7.9148498640E+03 +2902.000000 1.0814343111E+00 7.9121243631E+03 +2901.000000 1.0814311205E+00 7.9093988621E+03 +2900.000000 1.0814278919E+00 7.9066733612E+03 +2899.000000 1.0814246250E+00 7.9039478603E+03 +2898.000000 1.0814213194E+00 7.9012223593E+03 +2897.000000 1.0814179745E+00 7.8984968584E+03 +2896.000000 1.0814145900E+00 7.8957713575E+03 +2895.000000 1.0814111658E+00 7.8930458565E+03 +2894.000000 1.0814077012E+00 7.8903203556E+03 +2893.000000 1.0814041957E+00 7.8875948546E+03 +2892.000000 1.0814006489E+00 7.8848693537E+03 +2891.000000 1.0813970603E+00 7.8821438527E+03 +2890.000000 1.0813934294E+00 7.8794183518E+03 +2889.000000 1.0813897559E+00 7.8766928508E+03 +2888.000000 1.0813860393E+00 7.8739673499E+03 +2887.000000 1.0813822790E+00 7.8712418489E+03 +2886.000000 1.0813784748E+00 7.8685163480E+03 +2885.000000 1.0813746261E+00 7.8657908471E+03 +2884.000000 1.0813707325E+00 7.8630653461E+03 +2883.000000 1.0813667936E+00 7.8603398451E+03 +2882.000000 1.0813628089E+00 7.8576143442E+03 +2881.000000 1.0813587779E+00 7.8548888432E+03 +2880.000000 1.0813547002E+00 7.8521633423E+03 +2879.000000 1.0813505753E+00 7.8494378413E+03 +2878.000000 1.0813464027E+00 7.8467123403E+03 +2877.000000 1.0813421821E+00 7.8439868394E+03 +2876.000000 1.0813379130E+00 7.8412613384E+03 +2875.000000 1.0813335949E+00 7.8385358375E+03 +2874.000000 1.0813292273E+00 7.8358103365E+03 +2873.000000 1.0813248097E+00 7.8330848356E+03 +2872.000000 1.0813203489E+00 7.8303593346E+03 +2871.000000 1.0813158416E+00 7.8276338336E+03 +2870.000000 1.0813112821E+00 7.8249083327E+03 +2869.000000 1.0813066694E+00 7.8221828317E+03 +2868.000000 1.0813020026E+00 7.8194573307E+03 +2867.000000 1.0812972806E+00 7.8167318298E+03 +2866.000000 1.0812925025E+00 7.8140063288E+03 +2865.000000 1.0812876672E+00 7.8112808278E+03 +2864.000000 1.0812827736E+00 7.8085553269E+03 +2863.000000 1.0812778209E+00 7.8058298259E+03 +2862.000000 1.0812728080E+00 7.8031043250E+03 +2861.000000 1.0812677341E+00 7.8003788240E+03 +2860.000000 1.0812625998E+00 7.7976533230E+03 +2859.000000 1.0812574021E+00 7.7949278220E+03 +2858.000000 1.0812521400E+00 7.7922023210E+03 +2857.000000 1.0812468121E+00 7.7894768201E+03 +2856.000000 1.0812414176E+00 7.7867513191E+03 +2855.000000 1.0812359551E+00 7.7840258181E+03 +2854.000000 1.0812304237E+00 7.7813003171E+03 +2853.000000 1.0812248221E+00 7.7785748162E+03 +2852.000000 1.0812191492E+00 7.7758493152E+03 +2851.000000 1.0812134039E+00 7.7731238142E+03 +2850.000000 1.0812075850E+00 7.7703983132E+03 +2849.000000 1.0812016594E+00 7.7676728123E+03 +2848.000000 1.0811956461E+00 7.7649473113E+03 +2847.000000 1.0811895593E+00 7.7622218103E+03 +2846.000000 1.0811834001E+00 7.7594963093E+03 +2845.000000 1.0811771694E+00 7.7567708083E+03 +2844.000000 1.0811708681E+00 7.7540453073E+03 +2843.000000 1.0811644972E+00 7.7513198063E+03 +2842.000000 1.0811580578E+00 7.7485943053E+03 +2841.000000 1.0811515507E+00 7.7458688044E+03 +2840.000000 1.0811449770E+00 7.7431433034E+03 +2839.000000 1.0811383376E+00 7.7404178024E+03 +2838.000000 1.0811316495E+00 7.7376923014E+03 +2837.000000 1.0811249301E+00 7.7349668004E+03 +2836.000000 1.0811181450E+00 7.7322412994E+03 +2835.000000 1.0811112927E+00 7.7295157984E+03 +2834.000000 1.0811043720E+00 7.7267902974E+03 +2833.000000 1.0810973816E+00 7.7240647964E+03 +2832.000000 1.0810903201E+00 7.7213392954E+03 +2831.000000 1.0810831861E+00 7.7186137944E+03 +2830.000000 1.0810759785E+00 7.7158882934E+03 +2829.000000 1.0810686957E+00 7.7131627924E+03 +2828.000000 1.0810613365E+00 7.7104372914E+03 +2827.000000 1.0810538995E+00 7.7077117904E+03 +2826.000000 1.0810463681E+00 7.7049862894E+03 +2825.000000 1.0810387568E+00 7.7022607884E+03 +2824.000000 1.0810310651E+00 7.6995352874E+03 +2823.000000 1.0810232924E+00 7.6968097864E+03 +2822.000000 1.0810154381E+00 7.6940842854E+03 +2821.000000 1.0810075016E+00 7.6913587844E+03 +2820.000000 1.0809994823E+00 7.6886332834E+03 +2819.000000 1.0809913794E+00 7.6859077824E+03 +2818.000000 1.0809831925E+00 7.6831822814E+03 +2817.000000 1.0809749208E+00 7.6804567804E+03 +2816.000000 1.0809665638E+00 7.6777312794E+03 +2815.000000 1.0809581195E+00 7.6750057783E+03 +2814.000000 1.0809495882E+00 7.6722802773E+03 +2813.000000 1.0809409698E+00 7.6695547763E+03 +2812.000000 1.0809322637E+00 7.6668292753E+03 +2811.000000 1.0809234693E+00 7.6641037743E+03 +2810.000000 1.0809145863E+00 7.6613782732E+03 +2809.000000 1.0809056139E+00 7.6586527722E+03 +2808.000000 1.0808965516E+00 7.6559272712E+03 +2807.000000 1.0808873989E+00 7.6532017702E+03 +2806.000000 1.0808781553E+00 7.6504762692E+03 +2805.000000 1.0808688201E+00 7.6477507682E+03 +2804.000000 1.0808593921E+00 7.6450252671E+03 +2803.000000 1.0808498707E+00 7.6422997661E+03 +2802.000000 1.0808402562E+00 7.6395742651E+03 +2801.000000 1.0808305481E+00 7.6368487640E+03 +2800.000000 1.0808207458E+00 7.6341232630E+03 +2799.000000 1.0808108490E+00 7.6313977620E+03 +2798.000000 1.0808008571E+00 7.6286722610E+03 +2797.000000 1.0807907696E+00 7.6259467599E+03 +2796.000000 1.0807805861E+00 7.6232212589E+03 +2795.000000 1.0807703059E+00 7.6204957579E+03 +2794.000000 1.0807599287E+00 7.6177702569E+03 +2793.000000 1.0807494535E+00 7.6150447558E+03 +2792.000000 1.0807388788E+00 7.6123192548E+03 +2791.000000 1.0807282058E+00 7.6095937537E+03 +2790.000000 1.0807174338E+00 7.6068682527E+03 +2789.000000 1.0807065625E+00 7.6041427516E+03 +2788.000000 1.0806955916E+00 7.6014172506E+03 +2787.000000 1.0806845205E+00 7.5986917496E+03 +2786.000000 1.0806733488E+00 7.5959662485E+03 +2785.000000 1.0806620762E+00 7.5932407475E+03 +2784.000000 1.0806507021E+00 7.5905152465E+03 +2783.000000 1.0806392263E+00 7.5877897454E+03 +2782.000000 1.0806276480E+00 7.5850642444E+03 +2781.000000 1.0806159653E+00 7.5823387433E+03 +2780.000000 1.0806041796E+00 7.5796132423E+03 +2779.000000 1.0805922906E+00 7.5768877412E+03 +2778.000000 1.0805802980E+00 7.5741622402E+03 +2777.000000 1.0805682014E+00 7.5714367391E+03 +2776.000000 1.0805560006E+00 7.5687112381E+03 +2775.000000 1.0805436951E+00 7.5659857370E+03 +2774.000000 1.0805312847E+00 7.5632602360E+03 +2773.000000 1.0805187690E+00 7.5605347349E+03 +2772.000000 1.0805061477E+00 7.5578092339E+03 +2771.000000 1.0804934205E+00 7.5550837328E+03 +2770.000000 1.0804805849E+00 7.5523582318E+03 +2769.000000 1.0804676428E+00 7.5496327307E+03 +2768.000000 1.0804545939E+00 7.5469072296E+03 +2767.000000 1.0804414381E+00 7.5441817286E+03 +2766.000000 1.0804281751E+00 7.5414562275E+03 +2765.000000 1.0804148047E+00 7.5387307264E+03 +2764.000000 1.0804013267E+00 7.5360052254E+03 +2763.000000 1.0803877407E+00 7.5332797243E+03 +2762.000000 1.0803740467E+00 7.5305542233E+03 +2761.000000 1.0803602443E+00 7.5278287222E+03 +2760.000000 1.0803463333E+00 7.5251032212E+03 +2759.000000 1.0803323115E+00 7.5223777201E+03 +2758.000000 1.0803181807E+00 7.5196522190E+03 +2757.000000 1.0803039408E+00 7.5169267179E+03 +2756.000000 1.0802895916E+00 7.5142012168E+03 +2755.000000 1.0802751331E+00 7.5114757158E+03 +2754.000000 1.0802605652E+00 7.5087502147E+03 +2753.000000 1.0802458877E+00 7.5060247136E+03 +2752.000000 1.0802311004E+00 7.5032992126E+03 +2751.000000 1.0802162033E+00 7.5005737115E+03 +2750.000000 1.0802011961E+00 7.4978482104E+03 +2749.000000 1.0801860789E+00 7.4951227094E+03 +2748.000000 1.0801708496E+00 7.4923972083E+03 +2747.000000 1.0801555098E+00 7.4896717072E+03 +2746.000000 1.0801400597E+00 7.4869462061E+03 +2745.000000 1.0801244992E+00 7.4842207050E+03 +2744.000000 1.0801088284E+00 7.4814952039E+03 +2743.000000 1.0800930471E+00 7.4787697028E+03 +2742.000000 1.0800771554E+00 7.4760442017E+03 +2741.000000 1.0800611532E+00 7.4733187007E+03 +2740.000000 1.0800450405E+00 7.4705931996E+03 +2739.000000 1.0800288173E+00 7.4678676985E+03 +2738.000000 1.0800124835E+00 7.4651421974E+03 +2737.000000 1.0799960374E+00 7.4624166963E+03 +2736.000000 1.0799794806E+00 7.4596911952E+03 +2735.000000 1.0799628134E+00 7.4569656941E+03 +2734.000000 1.0799460357E+00 7.4542401930E+03 +2733.000000 1.0799291476E+00 7.4515146919E+03 +2732.000000 1.0799121493E+00 7.4487891908E+03 +2731.000000 1.0798950407E+00 7.4460636897E+03 +2730.000000 1.0798778219E+00 7.4433381886E+03 +2729.000000 1.0798604930E+00 7.4406126875E+03 +2728.000000 1.0798430540E+00 7.4378871865E+03 +2727.000000 1.0798255051E+00 7.4351616854E+03 +2726.000000 1.0798078446E+00 7.4324361842E+03 +2725.000000 1.0797900744E+00 7.4297106831E+03 +2724.000000 1.0797721945E+00 7.4269851820E+03 +2723.000000 1.0797542051E+00 7.4242596809E+03 +2722.000000 1.0797361063E+00 7.4215341798E+03 +2721.000000 1.0797178984E+00 7.4188086787E+03 +2720.000000 1.0796995813E+00 7.4160831776E+03 +2719.000000 1.0796811553E+00 7.4133576765E+03 +2718.000000 1.0796626205E+00 7.4106321754E+03 +2717.000000 1.0796439771E+00 7.4079066743E+03 +2716.000000 1.0796252251E+00 7.4051811732E+03 +2715.000000 1.0796063635E+00 7.4024556720E+03 +2714.000000 1.0795873939E+00 7.3997301709E+03 +2713.000000 1.0795683163E+00 7.3970046698E+03 +2712.000000 1.0795491310E+00 7.3942791687E+03 +2711.000000 1.0795298382E+00 7.3915536675E+03 +2710.000000 1.0795104382E+00 7.3888281664E+03 +2709.000000 1.0794909310E+00 7.3861026653E+03 +2708.000000 1.0794713171E+00 7.3833771642E+03 +2707.000000 1.0794515964E+00 7.3806516631E+03 +2706.000000 1.0794317694E+00 7.3779261620E+03 +2705.000000 1.0794118359E+00 7.3752006608E+03 +2704.000000 1.0793917957E+00 7.3724751597E+03 +2703.000000 1.0793716499E+00 7.3697496586E+03 +2702.000000 1.0793513985E+00 7.3670241574E+03 +2701.000000 1.0793310421E+00 7.3642986563E+03 +2700.000000 1.0793105807E+00 7.3615731552E+03 +2699.000000 1.0792900147E+00 7.3588476540E+03 +2698.000000 1.0792693443E+00 7.3561221529E+03 +2697.000000 1.0792485699E+00 7.3533966518E+03 +2696.000000 1.0792276916E+00 7.3506711506E+03 +2695.000000 1.0792067098E+00 7.3479456495E+03 +2694.000000 1.0791856251E+00 7.3452201484E+03 +2693.000000 1.0791644379E+00 7.3424946472E+03 +2692.000000 1.0791431478E+00 7.3397691461E+03 +2691.000000 1.0791217553E+00 7.3370436449E+03 +2690.000000 1.0791002604E+00 7.3343181438E+03 +2689.000000 1.0790786635E+00 7.3315926426E+03 +2688.000000 1.0790569648E+00 7.3288671415E+03 +2687.000000 1.0790351644E+00 7.3261416404E+03 +2686.000000 1.0790132628E+00 7.3234161392E+03 +2685.000000 1.0789912600E+00 7.3206906381E+03 +2684.000000 1.0789691563E+00 7.3179651369E+03 +2683.000000 1.0789469480E+00 7.3152396358E+03 +2682.000000 1.0789246377E+00 7.3125141346E+03 +2681.000000 1.0789022278E+00 7.3097886335E+03 +2680.000000 1.0788797189E+00 7.3070631323E+03 +2679.000000 1.0788571113E+00 7.3043376311E+03 +2678.000000 1.0788344058E+00 7.3016121300E+03 +2677.000000 1.0788116029E+00 7.2988866288E+03 +2676.000000 1.0787887031E+00 7.2961611277E+03 +2675.000000 1.0787657069E+00 7.2934356265E+03 +2674.000000 1.0787426150E+00 7.2907101254E+03 +2673.000000 1.0787194279E+00 7.2879846242E+03 +2672.000000 1.0786961534E+00 7.2852591231E+03 +2671.000000 1.0786727846E+00 7.2825336219E+03 +2670.000000 1.0786493215E+00 7.2798081207E+03 +2669.000000 1.0786257643E+00 7.2770826195E+03 +2668.000000 1.0786021131E+00 7.2743571184E+03 +2667.000000 1.0785783680E+00 7.2716316172E+03 +2666.000000 1.0785545293E+00 7.2689061160E+03 +2665.000000 1.0785305971E+00 7.2661806149E+03 +2664.000000 1.0785065716E+00 7.2634551137E+03 +2663.000000 1.0784824530E+00 7.2607296125E+03 +2662.000000 1.0784582397E+00 7.2580041114E+03 +2661.000000 1.0784339299E+00 7.2552786102E+03 +2660.000000 1.0784095278E+00 7.2525531090E+03 +2659.000000 1.0783850339E+00 7.2498276078E+03 +2658.000000 1.0783604487E+00 7.2471021066E+03 +2657.000000 1.0783357726E+00 7.2443766054E+03 +2656.000000 1.0783110060E+00 7.2416511043E+03 +2655.000000 1.0782861495E+00 7.2389256031E+03 +2654.000000 1.0782612035E+00 7.2362001019E+03 +2653.000000 1.0782361685E+00 7.2334746007E+03 +2652.000000 1.0782110449E+00 7.2307490996E+03 +2651.000000 1.0781858350E+00 7.2280235984E+03 +2650.000000 1.0781605382E+00 7.2252980972E+03 +2649.000000 1.0781351541E+00 7.2225725960E+03 +2648.000000 1.0781096829E+00 7.2198470948E+03 +2647.000000 1.0780841250E+00 7.2171215936E+03 +2646.000000 1.0780584807E+00 7.2143960924E+03 +2645.000000 1.0780327503E+00 7.2116705912E+03 +2644.000000 1.0780069341E+00 7.2089450900E+03 +2643.000000 1.0779810325E+00 7.2062195888E+03 +2642.000000 1.0779550458E+00 7.2034940876E+03 +2641.000000 1.0779289744E+00 7.2007685864E+03 +2640.000000 1.0779028180E+00 7.1980430852E+03 +2639.000000 1.0778765775E+00 7.1953175840E+03 +2638.000000 1.0778502534E+00 7.1925920828E+03 +2637.000000 1.0778238459E+00 7.1898665816E+03 +2636.000000 1.0777973555E+00 7.1871410804E+03 +2635.000000 1.0777707825E+00 7.1844155792E+03 +2634.000000 1.0777441272E+00 7.1816900780E+03 +2633.000000 1.0777173901E+00 7.1789645768E+03 +2632.000000 1.0776905716E+00 7.1762390756E+03 +2631.000000 1.0776636719E+00 7.1735135744E+03 +2630.000000 1.0776366919E+00 7.1707880732E+03 +2629.000000 1.0776096319E+00 7.1680625719E+03 +2628.000000 1.0775824918E+00 7.1653370707E+03 +2627.000000 1.0775552721E+00 7.1626115695E+03 +2626.000000 1.0775279729E+00 7.1598860683E+03 +2625.000000 1.0775005946E+00 7.1571605671E+03 +2624.000000 1.0774731376E+00 7.1544350658E+03 +2623.000000 1.0774456021E+00 7.1517095646E+03 +2622.000000 1.0774179886E+00 7.1489840634E+03 +2621.000000 1.0773902973E+00 7.1462585622E+03 +2620.000000 1.0773625287E+00 7.1435330610E+03 +2619.000000 1.0773346834E+00 7.1408075598E+03 +2618.000000 1.0773067614E+00 7.1380820585E+03 +2617.000000 1.0772787628E+00 7.1353565573E+03 +2616.000000 1.0772506882E+00 7.1326310560E+03 +2615.000000 1.0772225377E+00 7.1299055548E+03 +2614.000000 1.0771943117E+00 7.1271800536E+03 +2613.000000 1.0771660105E+00 7.1244545524E+03 +2612.000000 1.0771376344E+00 7.1217290511E+03 +2611.000000 1.0771091837E+00 7.1190035499E+03 +2610.000000 1.0770806587E+00 7.1162780487E+03 +2609.000000 1.0770520602E+00 7.1135525474E+03 +2608.000000 1.0770233883E+00 7.1108270462E+03 +2607.000000 1.0769946431E+00 7.1081015449E+03 +2606.000000 1.0769658248E+00 7.1053760437E+03 +2605.000000 1.0769369336E+00 7.1026505424E+03 +2604.000000 1.0769079699E+00 7.0999250412E+03 +2603.000000 1.0768789340E+00 7.0971995400E+03 +2602.000000 1.0768498261E+00 7.0944740387E+03 +2601.000000 1.0768206466E+00 7.0917485375E+03 +2600.000000 1.0767913956E+00 7.0890230362E+03 +2599.000000 1.0767620737E+00 7.0862975350E+03 +2598.000000 1.0767326815E+00 7.0835720337E+03 +2597.000000 1.0767032187E+00 7.0808465325E+03 +2596.000000 1.0766736856E+00 7.0781210312E+03 +2595.000000 1.0766440824E+00 7.0753955300E+03 +2594.000000 1.0766144093E+00 7.0726700287E+03 +2593.000000 1.0765846667E+00 7.0699445274E+03 +2592.000000 1.0765548548E+00 7.0672190262E+03 +2591.000000 1.0765249737E+00 7.0644935249E+03 +2590.000000 1.0764950239E+00 7.0617680237E+03 +2589.000000 1.0764650054E+00 7.0590425224E+03 +2588.000000 1.0764349192E+00 7.0563170212E+03 +2587.000000 1.0764047651E+00 7.0535915199E+03 +2586.000000 1.0763745431E+00 7.0508660186E+03 +2585.000000 1.0763442534E+00 7.0481405173E+03 +2584.000000 1.0763138962E+00 7.0454150161E+03 +2583.000000 1.0762834718E+00 7.0426895148E+03 +2582.000000 1.0762529804E+00 7.0399640135E+03 +2581.000000 1.0762224221E+00 7.0372385123E+03 +2580.000000 1.0761917973E+00 7.0345130110E+03 +2579.000000 1.0761611061E+00 7.0317875098E+03 +2578.000000 1.0761303490E+00 7.0290620085E+03 +2577.000000 1.0760995264E+00 7.0263365072E+03 +2576.000000 1.0760686380E+00 7.0236110059E+03 +2575.000000 1.0760376840E+00 7.0208855046E+03 +2574.000000 1.0760066645E+00 7.0181600033E+03 +2573.000000 1.0759755798E+00 7.0154345020E+03 +2572.000000 1.0759444300E+00 7.0127090008E+03 +2571.000000 1.0759132153E+00 7.0099834995E+03 +2570.000000 1.0758819359E+00 7.0072579982E+03 +2569.000000 1.0758505919E+00 7.0045324969E+03 +2568.000000 1.0758191836E+00 7.0018069957E+03 +2567.000000 1.0757877119E+00 6.9990814944E+03 +2566.000000 1.0757561760E+00 6.9963559931E+03 +2565.000000 1.0757245763E+00 6.9936304918E+03 +2564.000000 1.0756929127E+00 6.9909049905E+03 +2563.000000 1.0756611855E+00 6.9881794892E+03 +2562.000000 1.0756293948E+00 6.9854539879E+03 +2561.000000 1.0755975407E+00 6.9827284866E+03 +2560.000000 1.0755656234E+00 6.9800029853E+03 +2559.000000 1.0755336430E+00 6.9772774840E+03 +2558.000000 1.0755015997E+00 6.9745519827E+03 +2557.000000 1.0754694942E+00 6.9718264814E+03 +2556.000000 1.0754373261E+00 6.9691009801E+03 +2555.000000 1.0754050954E+00 6.9663754788E+03 +2554.000000 1.0753728021E+00 6.9636499775E+03 +2553.000000 1.0753404465E+00 6.9609244761E+03 +2552.000000 1.0753080285E+00 6.9581989748E+03 +2551.000000 1.0752755483E+00 6.9554734735E+03 +2550.000000 1.0752430060E+00 6.9527479722E+03 +2549.000000 1.0752104016E+00 6.9500224709E+03 +2548.000000 1.0751777353E+00 6.9472969696E+03 +2547.000000 1.0751450077E+00 6.9445714683E+03 +2546.000000 1.0751122186E+00 6.9418459670E+03 +2545.000000 1.0750793678E+00 6.9391204656E+03 +2544.000000 1.0750464554E+00 6.9363949643E+03 +2543.000000 1.0750134813E+00 6.9336694630E+03 +2542.000000 1.0749804458E+00 6.9309439617E+03 +2541.000000 1.0749473487E+00 6.9282184604E+03 +2540.000000 1.0749141903E+00 6.9254929590E+03 +2539.000000 1.0748809705E+00 6.9227674577E+03 +2538.000000 1.0748476894E+00 6.9200419564E+03 +2537.000000 1.0748143474E+00 6.9173164551E+03 +2536.000000 1.0747809445E+00 6.9145909537E+03 +2535.000000 1.0747474805E+00 6.9118654524E+03 +2534.000000 1.0747139553E+00 6.9091399511E+03 +2533.000000 1.0746803690E+00 6.9064144497E+03 +2532.000000 1.0746467215E+00 6.9036889484E+03 +2531.000000 1.0746130129E+00 6.9009634471E+03 +2530.000000 1.0745792431E+00 6.8982379457E+03 +2529.000000 1.0745454123E+00 6.8955124444E+03 +2528.000000 1.0745115204E+00 6.8927869431E+03 +2527.000000 1.0744775677E+00 6.8900614417E+03 +2526.000000 1.0744435543E+00 6.8873359404E+03 +2525.000000 1.0744094799E+00 6.8846104390E+03 +2524.000000 1.0743753444E+00 6.8818849377E+03 +2523.000000 1.0743411477E+00 6.8791594363E+03 +2522.000000 1.0743068899E+00 6.8764339350E+03 +2521.000000 1.0742725708E+00 6.8737084336E+03 +2520.000000 1.0742381906E+00 6.8709829323E+03 +2519.000000 1.0742037490E+00 6.8682574309E+03 +2518.000000 1.0741692463E+00 6.8655319296E+03 +2517.000000 1.0741346824E+00 6.8628064282E+03 +2516.000000 1.0741000576E+00 6.8600809269E+03 +2515.000000 1.0740653715E+00 6.8573554255E+03 +2514.000000 1.0740306239E+00 6.8546299241E+03 +2513.000000 1.0739958148E+00 6.8519044228E+03 +2512.000000 1.0739609440E+00 6.8491789214E+03 +2511.000000 1.0739260116E+00 6.8464534200E+03 +2510.000000 1.0738910175E+00 6.8437279187E+03 +2509.000000 1.0738559615E+00 6.8410024173E+03 +2508.000000 1.0738208437E+00 6.8382769160E+03 +2507.000000 1.0737856640E+00 6.8355514146E+03 +2506.000000 1.0737504229E+00 6.8328259132E+03 +2505.000000 1.0737151196E+00 6.8301004118E+03 +2504.000000 1.0736797541E+00 6.8273749105E+03 +2503.000000 1.0736443262E+00 6.8246494091E+03 +2502.000000 1.0736088359E+00 6.8219239077E+03 +2501.000000 1.0735732830E+00 6.8191984063E+03 +2500.000000 1.0735376675E+00 6.8164729050E+03 +2499.000000 1.0735019891E+00 6.8137474036E+03 +2498.000000 1.0734662479E+00 6.8110219022E+03 +2497.000000 1.0734304437E+00 6.8082964008E+03 +2496.000000 1.0733945770E+00 6.8055708994E+03 +2495.000000 1.0733586470E+00 6.8028453981E+03 +2494.000000 1.0733226536E+00 6.8001198967E+03 +2493.000000 1.0732865966E+00 6.7973943953E+03 +2492.000000 1.0732504759E+00 6.7946688939E+03 +2491.000000 1.0732142913E+00 6.7919433925E+03 +2490.000000 1.0731780427E+00 6.7892178911E+03 +2489.000000 1.0731417299E+00 6.7864923897E+03 +2488.000000 1.0731053528E+00 6.7837668883E+03 +2487.000000 1.0730689114E+00 6.7810413869E+03 +2486.000000 1.0730324058E+00 6.7783158855E+03 +2485.000000 1.0729958354E+00 6.7755903841E+03 +2484.000000 1.0729591999E+00 6.7728648827E+03 +2483.000000 1.0729224993E+00 6.7701393813E+03 +2482.000000 1.0728857332E+00 6.7674138799E+03 +2481.000000 1.0728489016E+00 6.7646883785E+03 +2480.000000 1.0728120042E+00 6.7619628771E+03 +2479.000000 1.0727750408E+00 6.7592373757E+03 +2478.000000 1.0727380112E+00 6.7565118743E+03 +2477.000000 1.0727009155E+00 6.7537863729E+03 +2476.000000 1.0726637536E+00 6.7510608715E+03 +2475.000000 1.0726265250E+00 6.7483353700E+03 +2474.000000 1.0725892293E+00 6.7456098686E+03 +2473.000000 1.0725518663E+00 6.7428843672E+03 +2472.000000 1.0725144359E+00 6.7401588658E+03 +2471.000000 1.0724769378E+00 6.7374333644E+03 +2470.000000 1.0724393717E+00 6.7347078629E+03 +2469.000000 1.0724017375E+00 6.7319823615E+03 +2468.000000 1.0723640348E+00 6.7292568601E+03 +2467.000000 1.0723262637E+00 6.7265313587E+03 +2466.000000 1.0722884241E+00 6.7238058573E+03 +2465.000000 1.0722505153E+00 6.7210803558E+03 +2464.000000 1.0722125371E+00 6.7183548544E+03 +2463.000000 1.0721744892E+00 6.7156293529E+03 +2462.000000 1.0721363713E+00 6.7129038515E+03 +2461.000000 1.0720981831E+00 6.7101783501E+03 +2460.000000 1.0720599245E+00 6.7074528486E+03 +2459.000000 1.0720215951E+00 6.7047273472E+03 +2458.000000 1.0719831946E+00 6.7020018458E+03 +2457.000000 1.0719447231E+00 6.6992763444E+03 +2456.000000 1.0719061802E+00 6.6965508429E+03 +2455.000000 1.0718675654E+00 6.6938253414E+03 +2454.000000 1.0718288783E+00 6.6910998400E+03 +2453.000000 1.0717901187E+00 6.6883743385E+03 +2452.000000 1.0717512862E+00 6.6856488371E+03 +2451.000000 1.0717123806E+00 6.6829233356E+03 +2450.000000 1.0716734015E+00 6.6801978342E+03 +2449.000000 1.0716343487E+00 6.6774723328E+03 +2448.000000 1.0715952217E+00 6.6747468313E+03 +2447.000000 1.0715560207E+00 6.6720213299E+03 +2446.000000 1.0715167450E+00 6.6692958284E+03 +2445.000000 1.0714773943E+00 6.6665703269E+03 +2444.000000 1.0714379682E+00 6.6638448255E+03 +2443.000000 1.0713984662E+00 6.6611193240E+03 +2442.000000 1.0713588882E+00 6.6583938225E+03 +2441.000000 1.0713192336E+00 6.6556683211E+03 +2440.000000 1.0712795023E+00 6.6529428196E+03 +2439.000000 1.0712396938E+00 6.6502173182E+03 +2438.000000 1.0711998077E+00 6.6474918167E+03 +2437.000000 1.0711598442E+00 6.6447663152E+03 +2436.000000 1.0711198025E+00 6.6420408137E+03 +2435.000000 1.0710796822E+00 6.6393153122E+03 +2434.000000 1.0710394828E+00 6.6365898108E+03 +2433.000000 1.0709992041E+00 6.6338643093E+03 +2432.000000 1.0709588456E+00 6.6311388078E+03 +2431.000000 1.0709184069E+00 6.6284133063E+03 +2430.000000 1.0708778877E+00 6.6256878049E+03 +2429.000000 1.0708372875E+00 6.6229623034E+03 +2428.000000 1.0707966062E+00 6.6202368019E+03 +2427.000000 1.0707558434E+00 6.6175113004E+03 +2426.000000 1.0707149985E+00 6.6147857989E+03 +2425.000000 1.0706740711E+00 6.6120602974E+03 +2424.000000 1.0706330607E+00 6.6093347959E+03 +2423.000000 1.0705919670E+00 6.6066092944E+03 +2422.000000 1.0705507894E+00 6.6038837929E+03 +2421.000000 1.0705095277E+00 6.6011582915E+03 +2420.000000 1.0704681813E+00 6.5984327900E+03 +2419.000000 1.0704267499E+00 6.5957072885E+03 +2418.000000 1.0703852332E+00 6.5929817870E+03 +2417.000000 1.0703436308E+00 6.5902562855E+03 +2416.000000 1.0703019420E+00 6.5875307839E+03 +2415.000000 1.0702601664E+00 6.5848052824E+03 +2414.000000 1.0702183036E+00 6.5820797809E+03 +2413.000000 1.0701763531E+00 6.5793542794E+03 +2412.000000 1.0701343145E+00 6.5766287779E+03 +2411.000000 1.0700921873E+00 6.5739032764E+03 +2410.000000 1.0700499710E+00 6.5711777749E+03 +2409.000000 1.0700076652E+00 6.5684522734E+03 +2408.000000 1.0699652697E+00 6.5657267719E+03 +2407.000000 1.0699227838E+00 6.5630012703E+03 +2406.000000 1.0698802071E+00 6.5602757688E+03 +2405.000000 1.0698375389E+00 6.5575502673E+03 +2404.000000 1.0697947789E+00 6.5548247658E+03 +2403.000000 1.0697519266E+00 6.5520992642E+03 +2402.000000 1.0697089814E+00 6.5493737627E+03 +2401.000000 1.0696659429E+00 6.5466482612E+03 +2400.000000 1.0696228107E+00 6.5439227597E+03 +2399.000000 1.0695795842E+00 6.5411972582E+03 +2398.000000 1.0695362632E+00 6.5384717566E+03 +2397.000000 1.0694928469E+00 6.5357462551E+03 +2396.000000 1.0694493349E+00 6.5330207535E+03 +2395.000000 1.0694057266E+00 6.5302952520E+03 +2394.000000 1.0693620215E+00 6.5275697504E+03 +2393.000000 1.0693182191E+00 6.5248442489E+03 +2392.000000 1.0692743190E+00 6.5221187474E+03 +2391.000000 1.0692303206E+00 6.5193932458E+03 +2390.000000 1.0691862233E+00 6.5166677443E+03 +2389.000000 1.0691420269E+00 6.5139422427E+03 +2388.000000 1.0690977307E+00 6.5112167412E+03 +2387.000000 1.0690533341E+00 6.5084912396E+03 +2386.000000 1.0690088366E+00 6.5057657381E+03 +2385.000000 1.0689642378E+00 6.5030402365E+03 +2384.000000 1.0689195370E+00 6.5003147349E+03 +2383.000000 1.0688747337E+00 6.4975892334E+03 +2382.000000 1.0688298274E+00 6.4948637318E+03 +2381.000000 1.0687848175E+00 6.4921382303E+03 +2380.000000 1.0687397037E+00 6.4894127287E+03 +2379.000000 1.0686944853E+00 6.4866872272E+03 +2378.000000 1.0686491617E+00 6.4839617256E+03 +2377.000000 1.0686037325E+00 6.4812362240E+03 +2376.000000 1.0685581970E+00 6.4785107224E+03 +2375.000000 1.0685125547E+00 6.4757852209E+03 +2374.000000 1.0684668051E+00 6.4730597193E+03 +2373.000000 1.0684209476E+00 6.4703342177E+03 +2372.000000 1.0683749817E+00 6.4676087161E+03 +2371.000000 1.0683289068E+00 6.4648832146E+03 +2370.000000 1.0682827224E+00 6.4621577130E+03 +2369.000000 1.0682364278E+00 6.4594322114E+03 +2368.000000 1.0681900227E+00 6.4567067098E+03 +2367.000000 1.0681435063E+00 6.4539812082E+03 +2366.000000 1.0680968782E+00 6.4512557066E+03 +2365.000000 1.0680501377E+00 6.4485302050E+03 +2364.000000 1.0680032843E+00 6.4458047034E+03 +2363.000000 1.0679563175E+00 6.4430792019E+03 +2362.000000 1.0679092366E+00 6.4403537003E+03 +2361.000000 1.0678620412E+00 6.4376281987E+03 +2360.000000 1.0678147306E+00 6.4349026971E+03 +2359.000000 1.0677673042E+00 6.4321771955E+03 +2358.000000 1.0677197615E+00 6.4294516939E+03 +2357.000000 1.0676721020E+00 6.4267261923E+03 +2356.000000 1.0676243251E+00 6.4240006906E+03 +2355.000000 1.0675764302E+00 6.4212751890E+03 +2354.000000 1.0675284167E+00 6.4185496874E+03 +2353.000000 1.0674802841E+00 6.4158241858E+03 +2352.000000 1.0674320318E+00 6.4130986842E+03 +2351.000000 1.0673836591E+00 6.4103731826E+03 +2350.000000 1.0673351655E+00 6.4076476810E+03 +2349.000000 1.0672865505E+00 6.4049221794E+03 +2348.000000 1.0672378135E+00 6.4021966777E+03 +2347.000000 1.0671889540E+00 6.3994711761E+03 +2346.000000 1.0671399713E+00 6.3967456745E+03 +2345.000000 1.0670908649E+00 6.3940201729E+03 +2344.000000 1.0670416343E+00 6.3912946712E+03 +2343.000000 1.0669922788E+00 6.3885691696E+03 +2342.000000 1.0669427978E+00 6.3858436680E+03 +2341.000000 1.0668931906E+00 6.3831181664E+03 +2340.000000 1.0668434569E+00 6.3803926647E+03 +2339.000000 1.0667935961E+00 6.3776671631E+03 +2338.000000 1.0667436076E+00 6.3749416614E+03 +2337.000000 1.0666934908E+00 6.3722161598E+03 +2336.000000 1.0666432452E+00 6.3694906582E+03 +2335.000000 1.0665928703E+00 6.3667651565E+03 +2334.000000 1.0665423654E+00 6.3640396549E+03 +2333.000000 1.0664917300E+00 6.3613141532E+03 +2332.000000 1.0664409631E+00 6.3585886516E+03 +2331.000000 1.0663900646E+00 6.3558631499E+03 +2330.000000 1.0663390339E+00 6.3531376483E+03 +2329.000000 1.0662878705E+00 6.3504121466E+03 +2328.000000 1.0662365737E+00 6.3476866449E+03 +2327.000000 1.0661851431E+00 6.3449611433E+03 +2326.000000 1.0661335781E+00 6.3422356416E+03 +2325.000000 1.0660818781E+00 6.3395101400E+03 +2324.000000 1.0660300426E+00 6.3367846383E+03 +2323.000000 1.0659780708E+00 6.3340591367E+03 +2322.000000 1.0659259621E+00 6.3313336350E+03 +2321.000000 1.0658737163E+00 6.3286081333E+03 +2320.000000 1.0658213328E+00 6.3258826316E+03 +2319.000000 1.0657688111E+00 6.3231571299E+03 +2318.000000 1.0657161507E+00 6.3204316283E+03 +2317.000000 1.0656633509E+00 6.3177061266E+03 +2316.000000 1.0656104113E+00 6.3149806249E+03 +2315.000000 1.0655573313E+00 6.3122551232E+03 +2314.000000 1.0655041102E+00 6.3095296216E+03 +2313.000000 1.0654507474E+00 6.3068041199E+03 +2312.000000 1.0653972426E+00 6.3040786182E+03 +2311.000000 1.0653435954E+00 6.3013531165E+03 +2310.000000 1.0652898052E+00 6.2986276148E+03 +2309.000000 1.0652358715E+00 6.2959021131E+03 +2308.000000 1.0651817938E+00 6.2931766114E+03 +2307.000000 1.0651275716E+00 6.2904511097E+03 +2306.000000 1.0650732044E+00 6.2877256080E+03 +2305.000000 1.0650186917E+00 6.2850001063E+03 +2304.000000 1.0649640324E+00 6.2822746046E+03 +2303.000000 1.0649092265E+00 6.2795491029E+03 +2302.000000 1.0648542737E+00 6.2768236012E+03 +2301.000000 1.0647991734E+00 6.2740980995E+03 +2300.000000 1.0647439252E+00 6.2713725977E+03 +2299.000000 1.0646885285E+00 6.2686470960E+03 +2298.000000 1.0646329829E+00 6.2659215943E+03 +2297.000000 1.0645772879E+00 6.2631960926E+03 +2296.000000 1.0645214431E+00 6.2604705909E+03 +2295.000000 1.0644654473E+00 6.2577450892E+03 +2294.000000 1.0644093007E+00 6.2550195874E+03 +2293.000000 1.0643530028E+00 6.2522940857E+03 +2292.000000 1.0642965532E+00 6.2495685840E+03 +2291.000000 1.0642399514E+00 6.2468430822E+03 +2290.000000 1.0641831971E+00 6.2441175805E+03 +2289.000000 1.0641262898E+00 6.2413920788E+03 +2288.000000 1.0640692289E+00 6.2386665771E+03 +2287.000000 1.0640120141E+00 6.2359410753E+03 +2286.000000 1.0639546445E+00 6.2332155736E+03 +2285.000000 1.0638971199E+00 6.2304900718E+03 +2284.000000 1.0638394401E+00 6.2277645701E+03 +2283.000000 1.0637816047E+00 6.2250390683E+03 +2282.000000 1.0637236133E+00 6.2223135666E+03 +2281.000000 1.0636654654E+00 6.2195880648E+03 +2280.000000 1.0636071606E+00 6.2168625631E+03 +2279.000000 1.0635486986E+00 6.2141370613E+03 +2278.000000 1.0634900789E+00 6.2114115596E+03 +2277.000000 1.0634313008E+00 6.2086860578E+03 +2276.000000 1.0633723639E+00 6.2059605561E+03 +2275.000000 1.0633132682E+00 6.2032350543E+03 +2274.000000 1.0632540133E+00 6.2005095525E+03 +2273.000000 1.0631945987E+00 6.1977840508E+03 +2272.000000 1.0631350242E+00 6.1950585490E+03 +2271.000000 1.0630752893E+00 6.1923330472E+03 +2270.000000 1.0630153937E+00 6.1896075455E+03 +2269.000000 1.0629553369E+00 6.1868820437E+03 +2268.000000 1.0628951184E+00 6.1841565419E+03 +2267.000000 1.0628347378E+00 6.1814310401E+03 +2266.000000 1.0627741950E+00 6.1787055383E+03 +2265.000000 1.0627134896E+00 6.1759800365E+03 +2264.000000 1.0626526213E+00 6.1732545348E+03 +2263.000000 1.0625915898E+00 6.1705290330E+03 +2262.000000 1.0625303947E+00 6.1678035312E+03 +2261.000000 1.0624690357E+00 6.1650780294E+03 +2260.000000 1.0624075123E+00 6.1623525276E+03 +2259.000000 1.0623458242E+00 6.1596270258E+03 +2258.000000 1.0622839709E+00 6.1569015240E+03 +2257.000000 1.0622219522E+00 6.1541760222E+03 +2256.000000 1.0621597680E+00 6.1514505204E+03 +2255.000000 1.0620974177E+00 6.1487250186E+03 +2254.000000 1.0620349012E+00 6.1459995168E+03 +2253.000000 1.0619722181E+00 6.1432740150E+03 +2252.000000 1.0619093681E+00 6.1405485132E+03 +2251.000000 1.0618463507E+00 6.1378230114E+03 +2250.000000 1.0617831658E+00 6.1350975096E+03 +2249.000000 1.0617198127E+00 6.1323720077E+03 +2248.000000 1.0616562915E+00 6.1296465059E+03 +2247.000000 1.0615926017E+00 6.1269210041E+03 +2246.000000 1.0615287430E+00 6.1241955022E+03 +2245.000000 1.0614647151E+00 6.1214700004E+03 +2244.000000 1.0614005178E+00 6.1187444986E+03 +2243.000000 1.0613361506E+00 6.1160189968E+03 +2242.000000 1.0612716132E+00 6.1132934949E+03 +2241.000000 1.0612069054E+00 6.1105679931E+03 +2240.000000 1.0611420268E+00 6.1078424913E+03 +2239.000000 1.0610769771E+00 6.1051169894E+03 +2238.000000 1.0610117560E+00 6.1023914876E+03 +2237.000000 1.0609463631E+00 6.0996659857E+03 +2236.000000 1.0608807981E+00 6.0969404839E+03 +2235.000000 1.0608150607E+00 6.0942149820E+03 +2234.000000 1.0607491505E+00 6.0914894802E+03 +2233.000000 1.0606830672E+00 6.0887639783E+03 +2232.000000 1.0606168107E+00 6.0860384765E+03 +2231.000000 1.0605503806E+00 6.0833129746E+03 +2230.000000 1.0604837763E+00 6.0805874727E+03 +2229.000000 1.0604169977E+00 6.0778619709E+03 +2228.000000 1.0603500442E+00 6.0751364690E+03 +2227.000000 1.0602829155E+00 6.0724109671E+03 +2226.000000 1.0602156113E+00 6.0696854653E+03 +2225.000000 1.0601481313E+00 6.0669599634E+03 +2224.000000 1.0600804750E+00 6.0642344615E+03 +2223.000000 1.0600126424E+00 6.0615089597E+03 +2222.000000 1.0599446332E+00 6.0587834578E+03 +2221.000000 1.0598764465E+00 6.0560579559E+03 +2220.000000 1.0598080821E+00 6.0533324540E+03 +2219.000000 1.0597395395E+00 6.0506069521E+03 +2218.000000 1.0596708183E+00 6.0478814502E+03 +2217.000000 1.0596019181E+00 6.0451559483E+03 +2216.000000 1.0595328386E+00 6.0424304465E+03 +2215.000000 1.0594635793E+00 6.0397049446E+03 +2214.000000 1.0593941403E+00 6.0369794427E+03 +2213.000000 1.0593245209E+00 6.0342539408E+03 +2212.000000 1.0592547204E+00 6.0315284388E+03 +2211.000000 1.0591847384E+00 6.0288029369E+03 +2210.000000 1.0591145742E+00 6.0260774350E+03 +2209.000000 1.0590442276E+00 6.0233519331E+03 +2208.000000 1.0589736979E+00 6.0206264312E+03 +2207.000000 1.0589029848E+00 6.0179009293E+03 +2206.000000 1.0588320877E+00 6.0151754274E+03 +2205.000000 1.0587610070E+00 6.0124499255E+03 +2204.000000 1.0586897415E+00 6.0097244235E+03 +2203.000000 1.0586182905E+00 6.0069989216E+03 +2202.000000 1.0585466534E+00 6.0042734197E+03 +2201.000000 1.0584748296E+00 6.0015479178E+03 +2200.000000 1.0584028186E+00 5.9988224158E+03 +2199.000000 1.0583306198E+00 5.9960969139E+03 +2198.000000 1.0582582327E+00 5.9933714120E+03 +2197.000000 1.0581856567E+00 5.9906459101E+03 +2196.000000 1.0581128924E+00 5.9879204081E+03 +2195.000000 1.0580399379E+00 5.9851949061E+03 +2194.000000 1.0579667927E+00 5.9824694042E+03 +2193.000000 1.0578934559E+00 5.9797439022E+03 +2192.000000 1.0578199271E+00 5.9770184003E+03 +2191.000000 1.0577462054E+00 5.9742928983E+03 +2190.000000 1.0576722903E+00 5.9715673964E+03 +2189.000000 1.0575981810E+00 5.9688418945E+03 +2188.000000 1.0575238773E+00 5.9661163925E+03 +2187.000000 1.0574493790E+00 5.9633908905E+03 +2186.000000 1.0573746844E+00 5.9606653885E+03 +2185.000000 1.0572997928E+00 5.9579398866E+03 +2184.000000 1.0572247033E+00 5.9552143846E+03 +2183.000000 1.0571494152E+00 5.9524888826E+03 +2182.000000 1.0570739278E+00 5.9497633807E+03 +2181.000000 1.0569982401E+00 5.9470378787E+03 +2180.000000 1.0569223515E+00 5.9443123767E+03 +2179.000000 1.0568462618E+00 5.9415868747E+03 +2178.000000 1.0567699702E+00 5.9388613727E+03 +2177.000000 1.0566934750E+00 5.9361358707E+03 +2176.000000 1.0566167755E+00 5.9334103688E+03 +2175.000000 1.0565398707E+00 5.9306848668E+03 +2174.000000 1.0564627598E+00 5.9279593648E+03 +2173.000000 1.0563854417E+00 5.9252338628E+03 +2172.000000 1.0563079157E+00 5.9225083608E+03 +2171.000000 1.0562301809E+00 5.9197828588E+03 +2170.000000 1.0561522372E+00 5.9170573568E+03 +2169.000000 1.0560740830E+00 5.9143318548E+03 +2168.000000 1.0559957170E+00 5.9116063527E+03 +2167.000000 1.0559171382E+00 5.9088808507E+03 +2166.000000 1.0558383456E+00 5.9061553487E+03 +2165.000000 1.0557593383E+00 5.9034298467E+03 +2164.000000 1.0556801151E+00 5.9007043447E+03 +2163.000000 1.0556006750E+00 5.8979788427E+03 +2162.000000 1.0555210173E+00 5.8952533407E+03 +2161.000000 1.0554411415E+00 5.8925278386E+03 +2160.000000 1.0553610458E+00 5.8898023366E+03 +2159.000000 1.0552807289E+00 5.8870768345E+03 +2158.000000 1.0552001898E+00 5.8843513325E+03 +2157.000000 1.0551194273E+00 5.8816258305E+03 +2156.000000 1.0550384403E+00 5.8789003284E+03 +2155.000000 1.0549572278E+00 5.8761748264E+03 +2154.000000 1.0548757885E+00 5.8734493243E+03 +2153.000000 1.0547941218E+00 5.8707238223E+03 +2152.000000 1.0547122265E+00 5.8679983202E+03 +2151.000000 1.0546301010E+00 5.8652728182E+03 +2150.000000 1.0545477440E+00 5.8625473161E+03 +2149.000000 1.0544651544E+00 5.8598218140E+03 +2148.000000 1.0543823309E+00 5.8570963120E+03 +2147.000000 1.0542992724E+00 5.8543708099E+03 +2146.000000 1.0542159776E+00 5.8516453079E+03 +2145.000000 1.0541324452E+00 5.8489198058E+03 +2144.000000 1.0540486747E+00 5.8461943037E+03 +2143.000000 1.0539646642E+00 5.8434688016E+03 +2142.000000 1.0538804124E+00 5.8407432995E+03 +2141.000000 1.0537959181E+00 5.8380177975E+03 +2140.000000 1.0537111798E+00 5.8352922954E+03 +2139.000000 1.0536261964E+00 5.8325667933E+03 +2138.000000 1.0535409665E+00 5.8298412912E+03 +2137.000000 1.0534554888E+00 5.8271157891E+03 +2136.000000 1.0533697622E+00 5.8243902870E+03 +2135.000000 1.0532837855E+00 5.8216647849E+03 +2134.000000 1.0531975570E+00 5.8189392828E+03 +2133.000000 1.0531110755E+00 5.8162137807E+03 +2132.000000 1.0530243395E+00 5.8134882786E+03 +2131.000000 1.0529373476E+00 5.8107627765E+03 +2130.000000 1.0528500987E+00 5.8080372744E+03 +2129.000000 1.0527625912E+00 5.8053117723E+03 +2128.000000 1.0526748238E+00 5.8025862702E+03 +2127.000000 1.0525867953E+00 5.7998607680E+03 +2126.000000 1.0524985042E+00 5.7971352659E+03 +2125.000000 1.0524099491E+00 5.7944097638E+03 +2124.000000 1.0523211285E+00 5.7916842616E+03 +2123.000000 1.0522320410E+00 5.7889587595E+03 +2122.000000 1.0521426853E+00 5.7862332574E+03 +2121.000000 1.0520530599E+00 5.7835077553E+03 +2120.000000 1.0519631633E+00 5.7807822531E+03 +2119.000000 1.0518729943E+00 5.7780567510E+03 +2118.000000 1.0517825514E+00 5.7753312488E+03 +2117.000000 1.0516918331E+00 5.7726057467E+03 +2116.000000 1.0516008380E+00 5.7698802445E+03 +2115.000000 1.0515095646E+00 5.7671547423E+03 +2114.000000 1.0514180115E+00 5.7644292402E+03 +2113.000000 1.0513261772E+00 5.7617037380E+03 +2112.000000 1.0512340603E+00 5.7589782359E+03 +2111.000000 1.0511416593E+00 5.7562527337E+03 +2110.000000 1.0510489727E+00 5.7535272315E+03 +2109.000000 1.0509559991E+00 5.7508017294E+03 +2108.000000 1.0508627371E+00 5.7480762272E+03 +2107.000000 1.0507691851E+00 5.7453507250E+03 +2106.000000 1.0506753417E+00 5.7426252228E+03 +2105.000000 1.0505812054E+00 5.7398997206E+03 +2104.000000 1.0504867747E+00 5.7371742185E+03 +2103.000000 1.0503920481E+00 5.7344487163E+03 +2102.000000 1.0502970242E+00 5.7317232141E+03 +2101.000000 1.0502017013E+00 5.7289977119E+03 +2100.000000 1.0501060781E+00 5.7262722097E+03 +2099.000000 1.0500101531E+00 5.7235467075E+03 +2098.000000 1.0499139248E+00 5.7208212052E+03 +2097.000000 1.0498173917E+00 5.7180957030E+03 +2096.000000 1.0497205523E+00 5.7153702008E+03 +2095.000000 1.0496234052E+00 5.7126446986E+03 +2094.000000 1.0495259487E+00 5.7099191964E+03 +2093.000000 1.0494281811E+00 5.7071936942E+03 +2092.000000 1.0493301013E+00 5.7044681920E+03 +2091.000000 1.0492317076E+00 5.7017426897E+03 +2090.000000 1.0491329987E+00 5.6990171875E+03 +2089.000000 1.0490339729E+00 5.6962916853E+03 +2088.000000 1.0489346289E+00 5.6935661830E+03 +2087.000000 1.0488349650E+00 5.6908406808E+03 +2086.000000 1.0487349798E+00 5.6881151786E+03 +2085.000000 1.0486346714E+00 5.6853896763E+03 +2084.000000 1.0485340386E+00 5.6826641741E+03 +2083.000000 1.0484330800E+00 5.6799386718E+03 +2082.000000 1.0483317940E+00 5.6772131695E+03 +2081.000000 1.0482301792E+00 5.6744876673E+03 +2080.000000 1.0481282340E+00 5.6717621650E+03 +2079.000000 1.0480259569E+00 5.6690366628E+03 +2078.000000 1.0479233465E+00 5.6663111605E+03 +2077.000000 1.0478204010E+00 5.6635856582E+03 +2076.000000 1.0477171187E+00 5.6608601559E+03 +2075.000000 1.0476134986E+00 5.6581346537E+03 +2074.000000 1.0475095391E+00 5.6554091514E+03 +2073.000000 1.0474052388E+00 5.6526836491E+03 +2072.000000 1.0473005961E+00 5.6499581468E+03 +2071.000000 1.0471956095E+00 5.6472326445E+03 +2070.000000 1.0470902776E+00 5.6445071422E+03 +2069.000000 1.0469845988E+00 5.6417816399E+03 +2068.000000 1.0468785710E+00 5.6390561376E+03 +2067.000000 1.0467721934E+00 5.6363306353E+03 +2066.000000 1.0466654646E+00 5.6336051330E+03 +2065.000000 1.0465583829E+00 5.6308796307E+03 +2064.000000 1.0464509471E+00 5.6281541284E+03 +2063.000000 1.0463431555E+00 5.6254286261E+03 +2062.000000 1.0462350068E+00 5.6227031237E+03 +2061.000000 1.0461264994E+00 5.6199776214E+03 +2060.000000 1.0460176313E+00 5.6172521191E+03 +2059.000000 1.0459084015E+00 5.6145266168E+03 +2058.000000 1.0457988086E+00 5.6118011144E+03 +2057.000000 1.0456888514E+00 5.6090756121E+03 +2056.000000 1.0455785282E+00 5.6063501097E+03 +2055.000000 1.0454678378E+00 5.6036246074E+03 +2054.000000 1.0453567787E+00 5.6008991051E+03 +2053.000000 1.0452453493E+00 5.5981736027E+03 +2052.000000 1.0451335479E+00 5.5954481004E+03 +2051.000000 1.0450213730E+00 5.5927225980E+03 +2050.000000 1.0449088237E+00 5.5899970956E+03 +2049.000000 1.0447958986E+00 5.5872715932E+03 +2048.000000 1.0446825964E+00 5.5845460909E+03 +2047.000000 1.0445689157E+00 5.5818205885E+03 +2046.000000 1.0444548551E+00 5.5790950861E+03 +2045.000000 1.0443404131E+00 5.5763695838E+03 +2044.000000 1.0442255881E+00 5.5736440814E+03 +2043.000000 1.0441103783E+00 5.5709185790E+03 +2042.000000 1.0439947832E+00 5.5681930766E+03 +2041.000000 1.0438788014E+00 5.5654675742E+03 +2040.000000 1.0437624317E+00 5.5627420718E+03 +2039.000000 1.0436456727E+00 5.5600165694E+03 +2038.000000 1.0435285232E+00 5.5572910670E+03 +2037.000000 1.0434109817E+00 5.5545655646E+03 +2036.000000 1.0432930469E+00 5.5518400622E+03 +2035.000000 1.0431747164E+00 5.5491145598E+03 +2034.000000 1.0430559903E+00 5.5463890573E+03 +2033.000000 1.0429368672E+00 5.5436635549E+03 +2032.000000 1.0428173460E+00 5.5409380525E+03 +2031.000000 1.0426974254E+00 5.5382125501E+03 +2030.000000 1.0425771043E+00 5.5354870476E+03 +2029.000000 1.0424563815E+00 5.5327615452E+03 +2028.000000 1.0423352555E+00 5.5300360428E+03 +2027.000000 1.0422137239E+00 5.5273105403E+03 +2026.000000 1.0420917869E+00 5.5245850379E+03 +2025.000000 1.0419694436E+00 5.5218595354E+03 +2024.000000 1.0418466928E+00 5.5191340330E+03 +2023.000000 1.0417235333E+00 5.5164085305E+03 +2022.000000 1.0415999642E+00 5.5136830280E+03 +2021.000000 1.0414759843E+00 5.5109575256E+03 +2020.000000 1.0413515924E+00 5.5082320231E+03 +2019.000000 1.0412267859E+00 5.5055065207E+03 +2018.000000 1.0411015654E+00 5.5027810182E+03 +2017.000000 1.0409759299E+00 5.5000555157E+03 +2016.000000 1.0408498785E+00 5.4973300132E+03 +2015.000000 1.0407234104E+00 5.4946045107E+03 +2014.000000 1.0405965244E+00 5.4918790082E+03 +2013.000000 1.0404692197E+00 5.4891535057E+03 +2012.000000 1.0403414954E+00 5.4864280032E+03 +2011.000000 1.0402133486E+00 5.4837025007E+03 +2010.000000 1.0400847801E+00 5.4809769982E+03 +2009.000000 1.0399557893E+00 5.4782514957E+03 +2008.000000 1.0398263756E+00 5.4755259932E+03 +2007.000000 1.0396965381E+00 5.4728004907E+03 +2006.000000 1.0395662760E+00 5.4700749881E+03 +2005.000000 1.0394355885E+00 5.4673494856E+03 +2004.000000 1.0393044749E+00 5.4646239831E+03 +2003.000000 1.0391729324E+00 5.4618984806E+03 +2002.000000 1.0390409621E+00 5.4591729780E+03 +2001.000000 1.0389085637E+00 5.4564474755E+03 +2000.000000 1.0387757365E+00 5.4537219729E+03 +1999.000000 1.0386424802E+00 5.4509964704E+03 +1998.000000 1.0385087940E+00 5.4482709678E+03 +1997.000000 1.0383746775E+00 5.4455454653E+03 +1996.000000 1.0382401299E+00 5.4428199627E+03 +1995.000000 1.0381051487E+00 5.4400944602E+03 +1994.000000 1.0379697351E+00 5.4373689576E+03 +1993.000000 1.0378338893E+00 5.4346434550E+03 +1992.000000 1.0376976109E+00 5.4319179524E+03 +1991.000000 1.0375608996E+00 5.4291924498E+03 +1990.000000 1.0374237551E+00 5.4264669473E+03 +1989.000000 1.0372861771E+00 5.4237414447E+03 +1988.000000 1.0371481652E+00 5.4210159421E+03 +1987.000000 1.0370097165E+00 5.4182904395E+03 +1986.000000 1.0368708331E+00 5.4155649369E+03 +1985.000000 1.0367315154E+00 5.4128394343E+03 +1984.000000 1.0365917633E+00 5.4101139317E+03 +1983.000000 1.0364515769E+00 5.4073884291E+03 +1982.000000 1.0363109559E+00 5.4046629264E+03 +1981.000000 1.0361699005E+00 5.4019374238E+03 +1980.000000 1.0360284106E+00 5.3992119212E+03 +1979.000000 1.0358864829E+00 5.3964864186E+03 +1978.000000 1.0357441208E+00 5.3937609159E+03 +1977.000000 1.0356013246E+00 5.3910354133E+03 +1976.000000 1.0354580946E+00 5.3883099107E+03 +1975.000000 1.0353144313E+00 5.3855844080E+03 +1974.000000 1.0351703347E+00 5.3828589054E+03 +1973.000000 1.0350258053E+00 5.3801334027E+03 +1972.000000 1.0348808432E+00 5.3774079001E+03 +1971.000000 1.0347354453E+00 5.3746823974E+03 +1970.000000 1.0345896157E+00 5.3719568947E+03 +1969.000000 1.0344433552E+00 5.3692313921E+03 +1968.000000 1.0342966644E+00 5.3665058894E+03 +1967.000000 1.0341495440E+00 5.3637803867E+03 +1966.000000 1.0340019947E+00 5.3610548840E+03 +1965.000000 1.0338540171E+00 5.3583293814E+03 +1964.000000 1.0337056113E+00 5.3556038787E+03 +1963.000000 1.0335567751E+00 5.3528783760E+03 +1962.000000 1.0334075132E+00 5.3501528733E+03 +1961.000000 1.0332578266E+00 5.3474273705E+03 +1960.000000 1.0331077165E+00 5.3447018678E+03 +1959.000000 1.0329571839E+00 5.3419763651E+03 +1958.000000 1.0328062300E+00 5.3392508624E+03 +1957.000000 1.0326548558E+00 5.3365253597E+03 +1956.000000 1.0325030612E+00 5.3337998570E+03 +1955.000000 1.0323508454E+00 5.3310743543E+03 +1954.000000 1.0321982134E+00 5.3283488515E+03 +1953.000000 1.0320451667E+00 5.3256233488E+03 +1952.000000 1.0318917069E+00 5.3228978460E+03 +1951.000000 1.0317378356E+00 5.3201723433E+03 +1950.000000 1.0315835544E+00 5.3174468405E+03 +1949.000000 1.0314288648E+00 5.3147213378E+03 +1948.000000 1.0312737662E+00 5.3119958351E+03 +1947.000000 1.0311182601E+00 5.3092703323E+03 +1946.000000 1.0309623513E+00 5.3065448295E+03 +1945.000000 1.0308060419E+00 5.3038193267E+03 +1944.000000 1.0306493341E+00 5.3010938240E+03 +1943.000000 1.0304922301E+00 5.2983683212E+03 +1942.000000 1.0303347319E+00 5.2956428184E+03 +1941.000000 1.0301768418E+00 5.2929173156E+03 +1940.000000 1.0300185581E+00 5.2901918128E+03 +1939.000000 1.0298598855E+00 5.2874663100E+03 +1938.000000 1.0297008284E+00 5.2847408072E+03 +1937.000000 1.0295413896E+00 5.2820153044E+03 +1936.000000 1.0293815719E+00 5.2792898016E+03 +1935.000000 1.0292213779E+00 5.2765642988E+03 +1934.000000 1.0290608106E+00 5.2738387960E+03 +1933.000000 1.0288998726E+00 5.2711132932E+03 +1932.000000 1.0287385611E+00 5.2683877903E+03 +1931.000000 1.0285768849E+00 5.2656622875E+03 +1930.000000 1.0284148477E+00 5.2629367847E+03 +1929.000000 1.0282524529E+00 5.2602112818E+03 +1928.000000 1.0280897039E+00 5.2574857790E+03 +1927.000000 1.0279266043E+00 5.2547602761E+03 +1926.000000 1.0277631574E+00 5.2520347733E+03 +1925.000000 1.0275993652E+00 5.2493092704E+03 +1924.000000 1.0274352280E+00 5.2465837676E+03 +1923.000000 1.0272707549E+00 5.2438582647E+03 +1922.000000 1.0271059499E+00 5.2411327618E+03 +1921.000000 1.0269408174E+00 5.2384072589E+03 +1920.000000 1.0267753614E+00 5.2356817561E+03 +1919.000000 1.0266095862E+00 5.2329562532E+03 +1918.000000 1.0264434961E+00 5.2302307503E+03 +1917.000000 1.0262770915E+00 5.2275052474E+03 +1916.000000 1.0261103776E+00 5.2247797445E+03 +1915.000000 1.0259433626E+00 5.2220542416E+03 +1914.000000 1.0257760515E+00 5.2193287387E+03 +1913.000000 1.0256084492E+00 5.2166032358E+03 +1912.000000 1.0254405608E+00 5.2138777329E+03 +1911.000000 1.0252723912E+00 5.2111522300E+03 +1910.000000 1.0251039457E+00 5.2084267271E+03 +1909.000000 1.0249352228E+00 5.2057012241E+03 +1908.000000 1.0247662339E+00 5.2029757212E+03 +1907.000000 1.0245969855E+00 5.2002502182E+03 +1906.000000 1.0244274837E+00 5.1975247153E+03 +1905.000000 1.0242577343E+00 5.1947992124E+03 +1904.000000 1.0240877432E+00 5.1920737094E+03 +1903.000000 1.0239175163E+00 5.1893482065E+03 +1902.000000 1.0237470576E+00 5.1866227035E+03 +1901.000000 1.0235763697E+00 5.1838972006E+03 +1900.000000 1.0234054649E+00 5.1811716976E+03 +1899.000000 1.0232343500E+00 5.1784461946E+03 +1898.000000 1.0230630319E+00 5.1757206916E+03 +1897.000000 1.0228915174E+00 5.1729951887E+03 +1896.000000 1.0227198133E+00 5.1702696857E+03 +1895.000000 1.0225479266E+00 5.1675441827E+03 +1894.000000 1.0223758590E+00 5.1648186797E+03 +1893.000000 1.0222036205E+00 5.1620931767E+03 +1892.000000 1.0220312214E+00 5.1593676737E+03 +1891.000000 1.0218586697E+00 5.1566421707E+03 +1890.000000 1.0216859731E+00 5.1539166677E+03 +1889.000000 1.0215131396E+00 5.1511911647E+03 +1888.000000 1.0213401768E+00 5.1484656617E+03 +1887.000000 1.0211670922E+00 5.1457401587E+03 +1886.000000 1.0209938872E+00 5.1430146556E+03 +1885.000000 1.0208205777E+00 5.1402891526E+03 +1884.000000 1.0206471727E+00 5.1375636496E+03 +1883.000000 1.0204736809E+00 5.1348381465E+03 +1882.000000 1.0203001113E+00 5.1321126435E+03 +1881.000000 1.0201264727E+00 5.1293871404E+03 +1880.000000 1.0199527742E+00 5.1266616374E+03 +1879.000000 1.0197790202E+00 5.1239361343E+03 +1878.000000 1.0196052212E+00 5.1212106313E+03 +1877.000000 1.0194313904E+00 5.1184851282E+03 +1876.000000 1.0192575379E+00 5.1157596251E+03 +1875.000000 1.0190836736E+00 5.1130341221E+03 +1874.000000 1.0189098074E+00 5.1103086190E+03 +1873.000000 1.0187359493E+00 5.1075831159E+03 +1872.000000 1.0185621091E+00 5.1048576129E+03 +1871.000000 1.0183882899E+00 5.1021321098E+03 +1870.000000 1.0182145099E+00 5.0994066067E+03 +1869.000000 1.0180407801E+00 5.0966811036E+03 +1868.000000 1.0178671115E+00 5.0939556004E+03 +1867.000000 1.0176935152E+00 5.0912300974E+03 +1866.000000 1.0175200022E+00 5.0885045943E+03 +1865.000000 1.0173465836E+00 5.0857790912E+03 +1864.000000 1.0171732665E+00 5.0830535880E+03 +1863.000000 1.0170000634E+00 5.0803280849E+03 +1862.000000 1.0168269895E+00 5.0776025818E+03 +1861.000000 1.0166540570E+00 5.0748770786E+03 +1860.000000 1.0164812778E+00 5.0721515755E+03 +1859.000000 1.0163086642E+00 5.0694260724E+03 +1858.000000 1.0161362282E+00 5.0667005693E+03 +1857.000000 1.0159639814E+00 5.0639750661E+03 +1856.000000 1.0157919310E+00 5.0612495630E+03 +1855.000000 1.0156200958E+00 5.0585240598E+03 +1854.000000 1.0154484890E+00 5.0557985566E+03 +1853.000000 1.0152771236E+00 5.0530730535E+03 +1852.000000 1.0151060127E+00 5.0503475503E+03 +1851.000000 1.0149351696E+00 5.0476220472E+03 +1850.000000 1.0147646074E+00 5.0448965440E+03 +1849.000000 1.0145943354E+00 5.0421710408E+03 +1848.000000 1.0144243698E+00 5.0394455376E+03 +1847.000000 1.0142547261E+00 5.0367200345E+03 +1846.000000 1.0140854184E+00 5.0339945313E+03 +1845.000000 1.0139164607E+00 5.0312690281E+03 +1844.000000 1.0137478671E+00 5.0285435249E+03 +1843.000000 1.0135796517E+00 5.0258180217E+03 +1842.000000 1.0134118275E+00 5.0230925185E+03 +1841.000000 1.0132444073E+00 5.0203670153E+03 +1840.000000 1.0130774087E+00 5.0176415121E+03 +1839.000000 1.0129108465E+00 5.0149160089E+03 +1838.000000 1.0127447356E+00 5.0121905057E+03 +1837.000000 1.0125790909E+00 5.0094650025E+03 +1836.000000 1.0124139273E+00 5.0067394993E+03 +1835.000000 1.0122492599E+00 5.0040139960E+03 +1834.000000 1.0120851013E+00 5.0012884928E+03 +1833.000000 1.0119214692E+00 4.9985629896E+03 +1832.000000 1.0117583790E+00 4.9958374863E+03 +1831.000000 1.0115958462E+00 4.9931119831E+03 +1830.000000 1.0114338863E+00 4.9903864799E+03 +1829.000000 1.0112725149E+00 4.9876609766E+03 +1828.000000 1.0111117476E+00 4.9849354734E+03 +1827.000000 1.0109515999E+00 4.9822099701E+03 +1826.000000 1.0107920877E+00 4.9794844669E+03 +1825.000000 1.0106332267E+00 4.9767589636E+03 +1824.000000 1.0104750329E+00 4.9740334604E+03 +1823.000000 1.0103175220E+00 4.9713079571E+03 +1822.000000 1.0101607100E+00 4.9685824538E+03 +1821.000000 1.0100046129E+00 4.9658569506E+03 +1820.000000 1.0098492476E+00 4.9631314473E+03 +1819.000000 1.0096946310E+00 4.9604059440E+03 +1818.000000 1.0095407772E+00 4.9576804407E+03 +1817.000000 1.0093877020E+00 4.9549549375E+03 +1816.000000 1.0092354214E+00 4.9522294342E+03 +1815.000000 1.0090839514E+00 4.9495039309E+03 +1814.000000 1.0089333081E+00 4.9467784276E+03 +1813.000000 1.0087835080E+00 4.9440529244E+03 +1812.000000 1.0086345720E+00 4.9413274210E+03 +1811.000000 1.0084865106E+00 4.9386019177E+03 +1810.000000 1.0083393391E+00 4.9358764144E+03 +1809.000000 1.0081930732E+00 4.9331509111E+03 +1808.000000 1.0080477287E+00 4.9304254078E+03 +1807.000000 1.0079033212E+00 4.9276999045E+03 +1806.000000 1.0077598666E+00 4.9249744013E+03 +1805.000000 1.0076173884E+00 4.9222488979E+03 +1804.000000 1.0074758956E+00 4.9195233946E+03 +1803.000000 1.0073354013E+00 4.9167978913E+03 +1802.000000 1.0071959204E+00 4.9140723880E+03 +1801.000000 1.0070574678E+00 4.9113468847E+03 +1800.000000 1.0069200585E+00 4.9086213813E+03 +1799.000000 1.0067837075E+00 4.9058958780E+03 +1798.000000 1.0066484381E+00 4.9031703747E+03 +1797.000000 1.0065142617E+00 4.9004448714E+03 +1796.000000 1.0063811864E+00 4.8977193680E+03 +1795.000000 1.0062492259E+00 4.8949938647E+03 +1794.000000 1.0061183938E+00 4.8922683613E+03 +1793.000000 1.0059887039E+00 4.8895428580E+03 +1792.000000 1.0058601698E+00 4.8868173547E+03 +1791.000000 1.0057328130E+00 4.8840918513E+03 +1790.000000 1.0056066492E+00 4.8813663480E+03 +1789.000000 1.0054816798E+00 4.8786408446E+03 +1788.000000 1.0053579167E+00 4.8759153413E+03 +1787.000000 1.0052353715E+00 4.8731898379E+03 +1786.000000 1.0051140563E+00 4.8704643346E+03 +1785.000000 1.0049939829E+00 4.8677388312E+03 +1784.000000 1.0048751693E+00 4.8650133279E+03 +1783.000000 1.0047576371E+00 4.8622878245E+03 +1782.000000 1.0046413794E+00 4.8595623212E+03 +1781.000000 1.0045264055E+00 4.8568368178E+03 +1780.000000 1.0044127248E+00 4.8541113144E+03 +1779.000000 1.0043003468E+00 4.8513858111E+03 +1778.000000 1.0041892809E+00 4.8486603077E+03 +1777.000000 1.0040795404E+00 4.8459348044E+03 +1776.000000 1.0039711536E+00 4.8432093010E+03 +1775.000000 1.0038641038E+00 4.8404837976E+03 +1774.000000 1.0037583976E+00 4.8377582942E+03 +1773.000000 1.0036540412E+00 4.8350327908E+03 +1772.000000 1.0035510410E+00 4.8323072875E+03 +1771.000000 1.0034494036E+00 4.8295817841E+03 +1770.000000 1.0033491365E+00 4.8268562807E+03 +1769.000000 1.0032502741E+00 4.8241307773E+03 +1768.000000 1.0031527899E+00 4.8214052739E+03 +1767.000000 1.0030566868E+00 4.8186797705E+03 +1766.000000 1.0029619675E+00 4.8159542672E+03 +1765.000000 1.0028686349E+00 4.8132287638E+03 +1764.000000 1.0027766918E+00 4.8105032604E+03 +1763.000000 1.0026861410E+00 4.8077777570E+03 +1762.000000 1.0025970176E+00 4.8050522536E+03 +1761.000000 1.0025092892E+00 4.8023267502E+03 +1760.000000 1.0024229535E+00 4.7996012468E+03 +1759.000000 1.0023380093E+00 4.7968757434E+03 +1758.000000 1.0022544551E+00 4.7941502400E+03 +1757.000000 1.0021722898E+00 4.7914247366E+03 +1756.000000 1.0020915121E+00 4.7886992332E+03 +1755.000000 1.0020121531E+00 4.7859737298E+03 +1754.000000 1.0019341776E+00 4.7832482264E+03 +1753.000000 1.0018575773E+00 4.7805227230E+03 +1752.000000 1.0017823464E+00 4.7777972195E+03 +1751.000000 1.0017084791E+00 4.7750717161E+03 +1750.000000 1.0016359698E+00 4.7723462127E+03 +1749.000000 1.0015648126E+00 4.7696207093E+03 +1748.000000 1.0014950340E+00 4.7668952059E+03 +1747.000000 1.0014265950E+00 4.7641697025E+03 +1746.000000 1.0013594821E+00 4.7614441990E+03 +1745.000000 1.0012936850E+00 4.7587186956E+03 +1744.000000 1.0012291934E+00 4.7559931922E+03 +1743.000000 1.0011659968E+00 4.7532676888E+03 +1742.000000 1.0011040848E+00 4.7505421854E+03 +1741.000000 1.0010434781E+00 4.7478166819E+03 +1740.000000 1.0009841336E+00 4.7450911785E+03 +1739.000000 1.0009260339E+00 4.7423656750E+03 +1738.000000 1.0008691642E+00 4.7396401716E+03 +1737.000000 1.0008135095E+00 4.7369146682E+03 +1736.000000 1.0007590550E+00 4.7341891647E+03 +1735.000000 1.0007057855E+00 4.7314636613E+03 +1734.000000 1.0006537149E+00 4.7287381579E+03 +1733.000000 1.0006027964E+00 4.7260126544E+03 +1732.000000 1.0005530100E+00 4.7232871509E+03 +1731.000000 1.0005043368E+00 4.7205616475E+03 +1730.000000 1.0004567577E+00 4.7178361440E+03 +1729.000000 1.0004102533E+00 4.7151106406E+03 +1728.000000 1.0003648055E+00 4.7123851371E+03 +1727.000000 1.0003204168E+00 4.7096596337E+03 +1726.000000 1.0002770417E+00 4.7069341302E+03 +1725.000000 1.0002346577E+00 4.7042086267E+03 +1724.000000 1.0001932422E+00 4.7014831233E+03 +1723.000000 1.0001527724E+00 4.6987576198E+03 +1722.000000 1.0001132256E+00 4.6960321163E+03 +1721.000000 1.0000745812E+00 4.6933066129E+03 +1720.000000 1.0000368279E+00 4.6905811094E+03 +1719.000000 9.9999992621E-01 4.6878556059E+03 +1718.000000 9.9996385098E-01 4.6851301024E+03 +1717.000000 9.9992857684E-01 4.6824045989E+03 +1716.000000 9.9989407836E-01 4.6796790954E+03 +1715.000000 9.9986033000E-01 4.6769535919E+03 +1714.000000 9.9982730830E-01 4.6742280884E+03 +1713.000000 9.9979499104E-01 4.6715025849E+03 +1712.000000 9.9976334549E-01 4.6687770814E+03 +1711.000000 9.9973234472E-01 4.6660515779E+03 +1710.000000 9.9970196170E-01 4.6633260744E+03 +1709.000000 9.9967216931E-01 4.6606005709E+03 +1708.000000 9.9964294033E-01 4.6578750673E+03 +1707.000000 9.9961424511E-01 4.6551495638E+03 +1706.000000 9.9958605559E-01 4.6524240603E+03 +1705.000000 9.9955834827E-01 4.6496985567E+03 +1704.000000 9.9953109626E-01 4.6469730532E+03 +1703.000000 9.9950427261E-01 4.6442475497E+03 +1702.000000 9.9947785022E-01 4.6415220461E+03 +1701.000000 9.9945180195E-01 4.6387965426E+03 +1700.000000 9.9942610308E-01 4.6360710390E+03 +1699.000000 9.9940072511E-01 4.6333455355E+03 +1698.000000 9.9937563827E-01 4.6306200319E+03 +1697.000000 9.9935081443E-01 4.6278945283E+03 +1696.000000 9.9932622539E-01 4.6251690248E+03 +1695.000000 9.9930184281E-01 4.6224435212E+03 +1694.000000 9.9927763827E-01 4.6197180176E+03 +1693.000000 9.9925356361E-01 4.6169925140E+03 +1692.000000 9.9922960755E-01 4.6142670104E+03 +1691.000000 9.9920574950E-01 4.6115415068E+03 +1690.000000 9.9918196390E-01 4.6088160032E+03 +1689.000000 9.9915822507E-01 4.6060904996E+03 +1688.000000 9.9913450729E-01 4.6033649960E+03 +1687.000000 9.9911078411E-01 4.6006394924E+03 +1686.000000 9.9908701548E-01 4.5979139888E+03 +1685.000000 9.9906319223E-01 4.5951884852E+03 +1684.000000 9.9903929032E-01 4.5924629815E+03 +1683.000000 9.9901528561E-01 4.5897374779E+03 +1682.000000 9.9899115390E-01 4.5870119743E+03 +1681.000000 9.9896687089E-01 4.5842864706E+03 +1680.000000 9.9894240772E-01 4.5815609670E+03 +1679.000000 9.9891773456E-01 4.5788354633E+03 +1678.000000 9.9889283927E-01 4.5761099596E+03 +1677.000000 9.9886769920E-01 4.5733844560E+03 +1676.000000 9.9884229163E-01 4.5706589523E+03 +1675.000000 9.9881659376E-01 4.5679334486E+03 +1674.000000 9.9879058270E-01 4.5652079449E+03 +1673.000000 9.9876422550E-01 4.5624824412E+03 +1672.000000 9.9873750338E-01 4.5597569375E+03 +1671.000000 9.9871040257E-01 4.5570314338E+03 +1670.000000 9.9868290218E-01 4.5543059301E+03 +1669.000000 9.9865498121E-01 4.5515804264E+03 +1668.000000 9.9862661864E-01 4.5488549227E+03 +1667.000000 9.9859779332E-01 4.5461294189E+03 +1666.000000 9.9856847839E-01 4.5434039152E+03 +1665.000000 9.9853865839E-01 4.5406784114E+03 +1664.000000 9.9850831348E-01 4.5379529077E+03 +1663.000000 9.9847742310E-01 4.5352274039E+03 +1662.000000 9.9844596663E-01 4.5325019002E+03 +1661.000000 9.9841392337E-01 4.5297763964E+03 +1660.000000 9.9838127071E-01 4.5270508926E+03 +1659.000000 9.9834798424E-01 4.5243253888E+03 +1658.000000 9.9831404972E-01 4.5215998850E+03 +1657.000000 9.9827944719E-01 4.5188743812E+03 +1656.000000 9.9824415661E-01 4.5161488774E+03 +1655.000000 9.9820815787E-01 4.5134233736E+03 +1654.000000 9.9817143081E-01 4.5106978698E+03 +1653.000000 9.9813396176E-01 4.5079723660E+03 +1652.000000 9.9809572710E-01 4.5052468622E+03 +1651.000000 9.9805670078E-01 4.5025213584E+03 +1650.000000 9.9801686083E-01 4.4997958546E+03 +1649.000000 9.9797618523E-01 4.4970703507E+03 +1648.000000 9.9793465186E-01 4.4943448468E+03 +1647.000000 9.9789223850E-01 4.4916193428E+03 +1646.000000 9.9784891961E-01 4.4888938385E+03 +1645.000000 9.9780467661E-01 4.4861683341E+03 +1644.000000 9.9775948756E-01 4.4834428297E+03 +1643.000000 9.9771333042E-01 4.4807173253E+03 +1642.000000 9.9766618309E-01 4.4779918209E+03 +1641.000000 9.9761802336E-01 4.4752663165E+03 +1640.000000 9.9756884281E-01 4.4725408123E+03 +1639.000000 9.9751862177E-01 4.4698153082E+03 +1638.000000 9.9746731485E-01 4.4670898042E+03 +1637.000000 9.9741489502E-01 4.4643643003E+03 +1636.000000 9.9736133512E-01 4.4616387963E+03 +1635.000000 9.9730660792E-01 4.4589132924E+03 +1634.000000 9.9725068606E-01 4.4561877885E+03 +1633.000000 9.9719355171E-01 4.4534622845E+03 +1632.000000 9.9713516776E-01 4.4507367805E+03 +1631.000000 9.9707550362E-01 4.4480112765E+03 +1630.000000 9.9701452997E-01 4.4452857725E+03 +1629.000000 9.9695221739E-01 4.4425602684E+03 +1628.000000 9.9688853638E-01 4.4398347644E+03 +1627.000000 9.9682347430E-01 4.4371092604E+03 +1626.000000 9.9675701353E-01 4.4343837563E+03 +1625.000000 9.9668908580E-01 4.4316582522E+03 +1624.000000 9.9661965422E-01 4.4289327481E+03 +1623.000000 9.9654868175E-01 4.4262072440E+03 +1622.000000 9.9647613123E-01 4.4234817399E+03 +1621.000000 9.9640196534E-01 4.4207562358E+03 +1620.000000 9.9632612556E-01 4.4180307317E+03 +1619.000000 9.9624859463E-01 4.4153052276E+03 +1618.000000 9.9616934231E-01 4.4125797234E+03 +1617.000000 9.9608833440E-01 4.4098542193E+03 +1616.000000 9.9600553658E-01 4.4071287151E+03 +1615.000000 9.9592091441E-01 4.4044032109E+03 +1614.000000 9.9583446428E-01 4.4016777068E+03 +1613.000000 9.9574616763E-01 4.3989522026E+03 +1612.000000 9.9565592614E-01 4.3962266983E+03 +1611.000000 9.9556369285E-01 4.3935011941E+03 +1610.000000 9.9546942063E-01 4.3907756899E+03 +1609.000000 9.9537306219E-01 4.3880501857E+03 +1608.000000 9.9527457003E-01 4.3853246814E+03 +1607.000000 9.9517391592E-01 4.3825991771E+03 +1606.000000 9.9507103137E-01 4.3798736728E+03 +1605.000000 9.9496586368E-01 4.3771481686E+03 +1604.000000 9.9485836157E-01 4.3744226642E+03 +1603.000000 9.9474847355E-01 4.3716971599E+03 +1602.000000 9.9463614796E-01 4.3689716556E+03 +1601.000000 9.9452135247E-01 4.3662461513E+03 +1600.000000 9.9440403201E-01 4.3635206469E+03 +1599.000000 9.9428410928E-01 4.3607951425E+03 +1598.000000 9.9416152612E-01 4.3580696382E+03 +1597.000000 9.9403622415E-01 4.3553441338E+03 +1596.000000 9.9390814479E-01 4.3526186294E+03 +1595.000000 9.9377723349E-01 4.3498931249E+03 +1594.000000 9.9364346179E-01 4.3471676205E+03 +1593.000000 9.9350672909E-01 4.3444421160E+03 +1592.000000 9.9336696994E-01 4.3417166116E+03 +1591.000000 9.9322411869E-01 4.3389911071E+03 +1590.000000 9.9307810943E-01 4.3362656026E+03 +1589.000000 9.9292887601E-01 4.3335400981E+03 +1588.000000 9.9277638107E-01 4.3308145936E+03 +1587.000000 9.9262053526E-01 4.3280890890E+03 +1586.000000 9.9246125508E-01 4.3253635844E+03 +1585.000000 9.9229846742E-01 4.3226380799E+03 +1584.000000 9.9213209890E-01 4.3199125753E+03 +1583.000000 9.9196207586E-01 4.3171870707E+03 +1582.000000 9.9178833869E-01 4.3144615661E+03 +1581.000000 9.9161081922E-01 4.3117360614E+03 +1580.000000 9.9142941500E-01 4.3090105567E+03 +1579.000000 9.9124404571E-01 4.3062850520E+03 +1578.000000 9.9105463074E-01 4.3035595474E+03 +1577.000000 9.9086108922E-01 4.3008340427E+03 +1576.000000 9.9066334191E-01 4.2981085379E+03 +1575.000000 9.9046133226E-01 4.2953830332E+03 +1574.000000 9.9025494679E-01 4.2926575284E+03 +1573.000000 9.9004409888E-01 4.2899320236E+03 +1572.000000 9.8982870162E-01 4.2872065188E+03 +1571.000000 9.8960866774E-01 4.2844810140E+03 +1570.000000 9.8938390970E-01 4.2817555091E+03 +1569.000000 9.8915534565E-01 4.2790300042E+03 +1568.000000 9.8892202968E-01 4.2763044993E+03 +1567.000000 9.8868336795E-01 4.2735789944E+03 +1566.000000 9.8843906853E-01 4.2708534895E+03 +1565.000000 9.8818883837E-01 4.2681279845E+03 +1564.000000 9.8793238332E-01 4.2654024796E+03 +1563.000000 9.8766761753E-01 4.2626769746E+03 +1562.000000 9.8739452213E-01 4.2599514695E+03 +1561.000000 9.8711514072E-01 4.2572259644E+03 +1560.000000 9.8682973060E-01 4.2545004593E+03 +1559.000000 9.8653855010E-01 4.2517749542E+03 +1558.000000 9.8624185855E-01 4.2490494491E+03 +1557.000000 9.8594088362E-01 4.2463239439E+03 +1556.000000 9.8563756305E-01 4.2435984388E+03 +1555.000000 9.8532877933E-01 4.2408729336E+03 +1554.000000 9.8501420483E-01 4.2381474283E+03 +1553.000000 9.8469351070E-01 4.2354219231E+03 +1552.000000 9.8436636684E-01 4.2326964178E+03 +1551.000000 9.8403239527E-01 4.2299709125E+03 +1550.000000 9.8369003733E-01 4.2272454072E+03 +1549.000000 9.8334045000E-01 4.2245199018E+03 +1548.000000 9.8298351076E-01 4.2217943964E+03 +1547.000000 9.8261909662E-01 4.2190688910E+03 +1546.000000 9.8224708412E-01 4.2163433856E+03 +1545.000000 9.8186734936E-01 4.2136178801E+03 +1544.000000 9.8147965771E-01 4.2108923746E+03 +1543.000000 9.8108399059E-01 4.2081668690E+03 +1542.000000 9.8068026543E-01 4.2054413634E+03 +1541.000000 9.8026837770E-01 4.2027158578E+03 +1540.000000 9.7984822247E-01 4.1999903522E+03 +1539.000000 9.7941969443E-01 4.1972648465E+03 +1538.000000 9.7898276331E-01 4.1945393408E+03 +1537.000000 9.7853727346E-01 4.1918138351E+03 +1536.000000 9.7808306236E-01 4.1890883293E+03 +1535.000000 9.7762000492E-01 4.1863628235E+03 +1534.000000 9.7714797558E-01 4.1836373176E+03 +1533.000000 9.7666684831E-01 4.1809118117E+03 +1532.000000 9.7617648633E-01 4.1781863058E+03 +1531.000000 9.7567676515E-01 4.1754607999E+03 +1530.000000 9.7516756999E-01 4.1727352939E+03 +1529.000000 9.7464877612E-01 4.1700097878E+03 +1528.000000 9.7412025838E-01 4.1672842818E+03 +1527.000000 9.7358189113E-01 4.1645587757E+03 +1526.000000 9.7303353025E-01 4.1618332695E+03 +1525.000000 9.7247504311E-01 4.1591077633E+03 +1524.000000 9.7190633697E-01 4.1563822571E+03 +1523.000000 9.7132729169E-01 4.1536567508E+03 +1522.000000 9.7073778666E-01 4.1509312445E+03 +1521.000000 9.7013770084E-01 4.1482057381E+03 +1520.000000 9.6952689414E-01 4.1454802317E+03 +1519.000000 9.6890522368E-01 4.1427547253E+03 +1518.000000 9.6827261965E-01 4.1400292188E+03 +1517.000000 9.6762896927E-01 4.1373037122E+03 +1516.000000 9.6697415938E-01 4.1345782057E+03 +1515.000000 9.6630807639E-01 4.1318526990E+03 +1514.000000 9.6563058905E-01 4.1291271924E+03 +1513.000000 9.6494154572E-01 4.1264016856E+03 +1512.000000 9.6424090117E-01 4.1236761789E+03 +1511.000000 9.6352855253E-01 4.1209506720E+03 +1510.000000 9.6280439660E-01 4.1182251652E+03 +1509.000000 9.6206832977E-01 4.1154996583E+03 +1508.000000 9.6132023245E-01 4.1127741513E+03 +1507.000000 9.6055994862E-01 4.1100486443E+03 +1506.000000 9.5978745768E-01 4.1073231372E+03 +1505.000000 9.5900266891E-01 4.1045976301E+03 +1504.000000 9.5820549125E-01 4.1018721229E+03 +1503.000000 9.5739583334E-01 4.0991466157E+03 +1502.000000 9.5657358875E-01 4.0964211084E+03 +1501.000000 9.5573860414E-01 4.0936956011E+03 +1500.000000 9.5489088133E-01 4.0909700937E+03 +1499.000000 9.5403034346E-01 4.0882445862E+03 +1498.000000 9.5315691340E-01 4.0855190787E+03 +1497.000000 9.5227051376E-01 4.0827935712E+03 +1496.000000 9.5137105149E-01 4.0800680636E+03 +1495.000000 9.5045838423E-01 4.0773425559E+03 +1494.000000 9.4953253275E-01 4.0746170481E+03 +1493.000000 9.4859343531E-01 4.0718915403E+03 +1492.000000 9.4764102995E-01 4.0691660325E+03 +1491.000000 9.4667525450E-01 4.0664405246E+03 +1490.000000 9.4569602873E-01 4.0637150166E+03 +1489.000000 9.4470322996E-01 4.0609895086E+03 +1488.000000 9.4369689330E-01 4.0582640005E+03 +1487.000000 9.4267697279E-01 4.0555384923E+03 +1486.000000 9.4164342235E-01 4.0528129841E+03 +1485.000000 9.4059619573E-01 4.0500874758E+03 +1484.000000 9.3953522426E-01 4.0473619675E+03 +1483.000000 9.3846041208E-01 4.0446364590E+03 +1482.000000 9.3737180474E-01 4.0419109505E+03 +1481.000000 9.3626937236E-01 4.0391854420E+03 +1480.000000 9.3515308500E-01 4.0364599334E+03 +1479.000000 9.3402291261E-01 4.0337344247E+03 +1478.000000 9.3287879703E-01 4.0310089159E+03 +1477.000000 9.3172067508E-01 4.0282834071E+03 +1476.000000 9.3054859863E-01 4.0255578982E+03 +1475.000000 9.2936255372E-01 4.0228323892E+03 +1474.000000 9.2816252636E-01 4.0201068802E+03 +1473.000000 9.2694850258E-01 4.0173813711E+03 +1472.000000 9.2572043374E-01 4.0146558619E+03 +1471.000000 9.2447829284E-01 4.0119303527E+03 +1470.000000 9.2322213485E-01 4.0092048433E+03 +1469.000000 9.2195196124E-01 4.0064793339E+03 +1468.000000 9.2066777350E-01 4.0037538245E+03 +1467.000000 9.1936957319E-01 4.0010283149E+03 +1466.000000 9.1805732039E-01 3.9983028053E+03 +1465.000000 9.1673102549E-01 3.9955772956E+03 +1464.000000 9.1539074458E-01 3.9928517858E+03 +1463.000000 9.1403649385E-01 3.9901262760E+03 +1462.000000 9.1266828958E-01 3.9874007660E+03 +1461.000000 9.1128614818E-01 3.9846752560E+03 +1460.000000 9.0989003868E-01 3.9819497459E+03 +1459.000000 9.0848000791E-01 3.9792242357E+03 +1458.000000 9.0705611133E-01 3.9764987255E+03 +1457.000000 9.0561837887E-01 3.9737732152E+03 +1456.000000 9.0416684064E-01 3.9710477047E+03 +1455.000000 9.0270152690E-01 3.9683221943E+03 +1454.000000 9.0122241555E-01 3.9655966837E+03 +1453.000000 8.9972958715E-01 3.9628711730E+03 +1452.000000 8.9822309622E-01 3.9601456622E+03 +1451.000000 8.9670298547E-01 3.9574201514E+03 +1450.000000 8.9516929779E-01 3.9546946405E+03 +1449.000000 8.9362207648E-01 3.9519691295E+03 +1448.000000 8.9206139535E-01 3.9492436194E+03 +1447.000000 8.9048726171E-01 3.9465181090E+03 +1446.000000 8.8889971367E-01 3.9437925981E+03 +1445.000000 8.8729878955E-01 3.9410670867E+03 +1444.000000 8.8568452786E-01 3.9383415744E+03 +1443.000000 8.8405688235E-01 3.9356160604E+03 +1442.000000 8.8241568868E-01 3.9328905429E+03 +1441.000000 8.8076136038E-01 3.9301650248E+03 +1440.000000 8.7909400819E-01 3.9274395062E+03 +1439.000000 8.7741374335E-01 3.9247139877E+03 +1438.000000 8.7572067758E-01 3.9219884696E+03 +1437.000000 8.7401513101E-01 3.9192629537E+03 +1436.000000 8.7229722353E-01 3.9165374403E+03 +1435.000000 8.7056673131E-01 3.9138119276E+03 +1434.000000 8.6882368336E-01 3.9110864154E+03 +1433.000000 8.6706810881E-01 3.9083609035E+03 +1432.000000 8.6530003698E-01 3.9056353918E+03 +1431.000000 8.6351923177E-01 3.9029098794E+03 +1430.000000 8.6172592671E-01 3.9001843665E+03 +1429.000000 8.5992033231E-01 3.8974588535E+03 +1428.000000 8.5810254873E-01 3.8947333404E+03 +1427.000000 8.5627267662E-01 3.8920078273E+03 +1426.000000 8.5443081706E-01 3.8892823140E+03 +1425.000000 8.5257717156E-01 3.8865568006E+03 +1424.000000 8.5071172446E-01 3.8838312871E+03 +1423.000000 8.4883455778E-01 3.8811057735E+03 +1422.000000 8.4694575514E-01 3.8783802598E+03 +1421.000000 8.4504540053E-01 3.8756547460E+03 +1420.000000 8.4313356217E-01 3.8729292321E+03 +1419.000000 8.4121030540E-01 3.8702037180E+03 +1418.000000 8.3927576428E-01 3.8674782039E+03 +1417.000000 8.3733003476E-01 3.8647526897E+03 +1416.000000 8.3537321322E-01 3.8620271753E+03 +1415.000000 8.3340539649E-01 3.8593016608E+03 +1414.000000 8.3142668220E-01 3.8565761462E+03 +1413.000000 8.2943716789E-01 3.8538506315E+03 +1412.000000 8.2743695140E-01 3.8511251167E+03 +1411.000000 8.2542613126E-01 3.8483996018E+03 +1410.000000 8.2340480644E-01 3.8456740867E+03 +1409.000000 8.2137307638E-01 3.8429485716E+03 +1408.000000 8.1933103072E-01 3.8402230563E+03 +1407.000000 8.1727878172E-01 3.8374975409E+03 +1406.000000 8.1521643263E-01 3.8347720253E+03 +1405.000000 8.1314408681E-01 3.8320465097E+03 +1404.000000 8.1106184812E-01 3.8293209939E+03 +1403.000000 8.0896982055E-01 3.8265954780E+03 +1402.000000 8.0686810868E-01 3.8238699620E+03 +1401.000000 8.0475681860E-01 3.8211444458E+03 +1400.000000 8.0263605627E-01 3.8184189296E+03 +1399.000000 8.0050592814E-01 3.8156934132E+03 +1398.000000 7.9836654114E-01 3.8129678967E+03 +1397.000000 7.9621800614E-01 3.8102423800E+03 +1396.000000 7.9406042823E-01 3.8075168632E+03 +1395.000000 7.9189391364E-01 3.8047913463E+03 +1394.000000 7.8971857036E-01 3.8020658292E+03 +1393.000000 7.8753450688E-01 3.7993403121E+03 +1392.000000 7.8534183300E-01 3.7966147948E+03 +1391.000000 7.8314066169E-01 3.7938892773E+03 +1390.000000 7.8093109747E-01 3.7911637597E+03 +1389.000000 7.7871324978E-01 3.7884382420E+03 +1388.000000 7.7648722858E-01 3.7857127241E+03 +1387.000000 7.7425314432E-01 3.7829872061E+03 +1386.000000 7.7201111552E-01 3.7802616880E+03 +1385.000000 7.6976124996E-01 3.7775361697E+03 +1384.000000 7.6750365174E-01 3.7748106512E+03 +1383.000000 7.6523843083E-01 3.7720851327E+03 +1382.000000 7.6296569765E-01 3.7693596139E+03 +1381.000000 7.6068556377E-01 3.7666340951E+03 +1380.000000 7.5839815145E-01 3.7639085761E+03 +1379.000000 7.5610355872E-01 3.7611830569E+03 +1378.000000 7.5380189558E-01 3.7584575376E+03 +1377.000000 7.5149327257E-01 3.7557320181E+03 +1376.000000 7.4917780074E-01 3.7530064985E+03 +1375.000000 7.4685560040E-01 3.7502809787E+03 +1374.000000 7.4452678085E-01 3.7475554588E+03 +1373.000000 7.4219144358E-01 3.7448299387E+03 +1372.000000 7.3984969835E-01 3.7421044185E+03 +1371.000000 7.3750165543E-01 3.7393788981E+03 +1370.000000 7.3514742627E-01 3.7366533775E+03 +1369.000000 7.3278713971E-01 3.7339278568E+03 +1368.000000 7.3042088521E-01 3.7312023359E+03 +1367.000000 7.2804877110E-01 3.7284768149E+03 +1366.000000 7.2567090621E-01 3.7257512937E+03 +1365.000000 7.2328739990E-01 3.7230257723E+03 +1364.000000 7.2089837291E-01 3.7203002507E+03 +1363.000000 7.1850393099E-01 3.7175747290E+03 +1362.000000 7.1610417247E-01 3.7148492071E+03 +1361.000000 7.1369920473E-01 3.7121236850E+03 +1360.000000 7.1128913563E-01 3.7093981628E+03 +1359.000000 7.0887407593E-01 3.7066726404E+03 +1358.000000 7.0645415046E-01 3.7039471178E+03 +1357.000000 7.0402944526E-01 3.7012215950E+03 +1356.000000 7.0160006575E-01 3.6984960721E+03 +1355.000000 6.9916611781E-01 3.6957705489E+03 +1354.000000 6.9672770780E-01 3.6930450256E+03 +1353.000000 6.9428495792E-01 3.6903195021E+03 +1352.000000 6.9183796425E-01 3.6875939784E+03 +1351.000000 6.8938682271E-01 3.6848684546E+03 +1350.000000 6.8693163690E-01 3.6821429305E+03 +1349.000000 6.8447251094E-01 3.6794174062E+03 +1348.000000 6.8200955568E-01 3.6766918818E+03 +1347.000000 6.7954288503E-01 3.6739663571E+03 +1346.000000 6.7707258333E-01 3.6712408323E+03 +1345.000000 6.7459875184E-01 3.6685153072E+03 +1344.000000 6.7212149224E-01 3.6657897820E+03 +1343.000000 6.6964090671E-01 3.6630642566E+03 +1342.000000 6.6715711860E-01 3.6603387309E+03 +1341.000000 6.6467020859E-01 3.6576132050E+03 +1340.000000 6.6218027255E-01 3.6548876790E+03 +1339.000000 6.5968740951E-01 3.6521621527E+03 +1338.000000 6.5719171894E-01 3.6494366262E+03 +1337.000000 6.5469331354E-01 3.6467110995E+03 +1336.000000 6.5219228993E-01 3.6439855726E+03 +1335.000000 6.4968873211E-01 3.6412600454E+03 +1334.000000 6.4718273619E-01 3.6385345181E+03 +1333.000000 6.4467439874E-01 3.6358089905E+03 +1332.000000 6.4216382085E-01 3.6330834627E+03 +1331.000000 6.3965111338E-01 3.6303579347E+03 +1330.000000 6.3713635098E-01 3.6276324064E+03 +1329.000000 6.3461962714E-01 3.6249068779E+03 +1328.000000 6.3210103573E-01 3.6221813492E+03 +1327.000000 6.2958067109E-01 3.6194558203E+03 +1326.000000 6.2705864818E-01 3.6167302910E+03 +1325.000000 6.2453504103E-01 3.6140047616E+03 +1324.000000 6.2200993662E-01 3.6112792319E+03 +1323.000000 6.1948342583E-01 3.6085537020E+03 +1322.000000 6.1695559993E-01 3.6058281719E+03 +1321.000000 6.1442656330E-01 3.6031026414E+03 +1320.000000 6.1189640279E-01 3.6003771108E+03 +1319.000000 6.0936519582E-01 3.5976515798E+03 +1318.000000 6.0683303038E-01 3.5949260487E+03 +1317.000000 6.0429999484E-01 3.5922005172E+03 +1316.000000 6.0176618432E-01 3.5894749855E+03 +1315.000000 5.9923169661E-01 3.5867494536E+03 +1314.000000 5.9669660005E-01 3.5840239213E+03 +1313.000000 5.9416097966E-01 3.5812983888E+03 +1312.000000 5.9162492084E-01 3.5785728561E+03 +1311.000000 5.8908850979E-01 3.5758473230E+03 +1310.000000 5.8655185335E-01 3.5731217897E+03 +1309.000000 5.8401501210E-01 3.5703962561E+03 +1308.000000 5.8147806814E-01 3.5676707222E+03 +1307.000000 5.7894110391E-01 3.5649451880E+03 +1306.000000 5.7640420227E-01 3.5622196536E+03 +1305.000000 5.7386746240E-01 3.5594941188E+03 +1304.000000 5.7133095293E-01 3.5567685838E+03 +1303.000000 5.6879474866E-01 3.5540430484E+03 +1302.000000 5.6625892929E-01 3.5513175128E+03 +1301.000000 5.6372357493E-01 3.5485919768E+03 +1300.000000 5.6118877766E-01 3.5458664406E+03 +1299.000000 5.5865461311E-01 3.5431409040E+03 +1298.000000 5.5612114880E-01 3.5404153671E+03 +1297.000000 5.5358846164E-01 3.5376898299E+03 +1296.000000 5.5105662888E-01 3.5349642924E+03 +1295.000000 5.4852573520E-01 3.5322387545E+03 +1294.000000 5.4599586194E-01 3.5295132163E+03 +1293.000000 5.4346707108E-01 3.5267876778E+03 +1292.000000 5.4093943694E-01 3.5240621390E+03 +1291.000000 5.3841303421E-01 3.5213365998E+03 +1290.000000 5.3588794157E-01 3.5186110603E+03 +1289.000000 5.3336424487E-01 3.5158855204E+03 +1288.000000 5.3084200053E-01 3.5131599802E+03 +1287.000000 5.2832128030E-01 3.5104344396E+03 +1286.000000 5.2580215622E-01 3.5077088987E+03 +1285.000000 5.2328470135E-01 3.5049833575E+03 +1284.000000 5.2076900385E-01 3.5022578158E+03 +1283.000000 5.1825511653E-01 3.4995322738E+03 +1282.000000 5.1574310879E-01 3.4968067314E+03 +1281.000000 5.1323305033E-01 3.4940811886E+03 +1280.000000 5.1072501116E-01 3.4913556455E+03 +1279.000000 5.0821907619E-01 3.4886301019E+03 +1278.000000 5.0571529966E-01 3.4859045580E+03 +1277.000000 5.0321374714E-01 3.4831790137E+03 +1276.000000 5.0071448608E-01 3.4804534690E+03 +1275.000000 4.9821758425E-01 3.4777279239E+03 +1274.000000 4.9572312197E-01 3.4750023783E+03 +1273.000000 4.9323115579E-01 3.4722768324E+03 +1272.000000 4.9074174743E-01 3.4695512860E+03 +1271.000000 4.8825496220E-01 3.4668257393E+03 +1270.000000 4.8577086571E-01 3.4641001921E+03 +1269.000000 4.8328953391E-01 3.4613746445E+03 +1268.000000 4.8081102500E-01 3.4586490964E+03 +1267.000000 4.7833539766E-01 3.4559235479E+03 +1266.000000 4.7586271527E-01 3.4531979989E+03 +1265.000000 4.7339304146E-01 3.4504724495E+03 +1264.000000 4.7092644893E-01 3.4477468997E+03 +1263.000000 4.6846299637E-01 3.4450213494E+03 +1262.000000 4.6600273971E-01 3.4422957986E+03 +1261.000000 4.6354574041E-01 3.4395702473E+03 +1260.000000 4.6109206022E-01 3.4368446956E+03 +1259.000000 4.5864176856E-01 3.4341191434E+03 +1258.000000 4.5619492412E-01 3.4313935907E+03 +1257.000000 4.5375158081E-01 3.4286680375E+03 +1256.000000 4.5131179836E-01 3.4259424838E+03 +1255.000000 4.4887563679E-01 3.4232169296E+03 +1254.000000 4.4644316304E-01 3.4204913749E+03 +1253.000000 4.4401443507E-01 3.4177658196E+03 +1252.000000 4.4158950504E-01 3.4150402639E+03 +1251.000000 4.3916843105E-01 3.4123147076E+03 +1250.000000 4.3675127146E-01 3.4095891508E+03 +1249.000000 4.3433809113E-01 3.4068635934E+03 +1248.000000 4.3192894677E-01 3.4041380355E+03 +1247.000000 4.2952388909E-01 3.4014124770E+03 +1246.000000 4.2712297460E-01 3.3986869180E+03 +1245.000000 4.2472626009E-01 3.3959613584E+03 +1244.000000 4.2233380863E-01 3.3932357982E+03 +1243.000000 4.1994567522E-01 3.3905102375E+03 +1242.000000 4.1756190940E-01 3.3877846761E+03 +1241.000000 4.1518256619E-01 3.3850591142E+03 +1240.000000 4.1280770086E-01 3.3823335516E+03 +1239.000000 4.1043737500E-01 3.3796079885E+03 +1238.000000 4.0807164151E-01 3.3768824247E+03 +1237.000000 4.0571054899E-01 3.3741568603E+03 +1236.000000 4.0335415101E-01 3.3714312953E+03 +1235.000000 4.0100250138E-01 3.3687057296E+03 +1234.000000 3.9865566061E-01 3.3659801632E+03 +1233.000000 3.9631367904E-01 3.3632545963E+03 +1232.000000 3.9397660440E-01 3.3605290286E+03 +1231.000000 3.9164448880E-01 3.3578034603E+03 +1230.000000 3.8931738457E-01 3.3550778913E+03 +1229.000000 3.8699535113E-01 3.3523523216E+03 +1228.000000 3.8467843597E-01 3.3496267511E+03 +1227.000000 3.8236668626E-01 3.3469011800E+03 +1226.000000 3.8006015269E-01 3.3441756082E+03 +1225.000000 3.7775888617E-01 3.3414500357E+03 +1224.000000 3.7546294537E-01 3.3387244624E+03 +1223.000000 3.7317237451E-01 3.3359988883E+03 +1222.000000 3.7088722032E-01 3.3332733135E+03 +1221.000000 3.6860753204E-01 3.3305477380E+03 +1220.000000 3.6633335916E-01 3.3278221617E+03 +1219.000000 3.6406475989E-01 3.3250965846E+03 +1218.000000 3.6180177469E-01 3.3223710066E+03 +1217.000000 3.5954444987E-01 3.3196454279E+03 +1216.000000 3.5729283322E-01 3.3169198484E+03 +1215.000000 3.5504697272E-01 3.3141942681E+03 +1214.000000 3.5280692593E-01 3.3114686869E+03 +1213.000000 3.5057272945E-01 3.3087431049E+03 +1212.000000 3.4834442940E-01 3.3060175220E+03 +1211.000000 3.4612207214E-01 3.3032919383E+03 +1210.000000 3.4390570561E-01 3.3005663537E+03 +1209.000000 3.4169538292E-01 3.2978407681E+03 +1208.000000 3.3949114032E-01 3.2951151817E+03 +1207.000000 3.3729302240E-01 3.2923895944E+03 +1206.000000 3.3510107396E-01 3.2896640062E+03 +1205.000000 3.3291534297E-01 3.2869384170E+03 +1204.000000 3.3073587737E-01 3.2842128269E+03 +1203.000000 3.2856271349E-01 3.2814872358E+03 +1202.000000 3.2639589439E-01 3.2787616437E+03 +1201.000000 3.2423546328E-01 3.2760360507E+03 +1200.000000 3.2208146832E-01 3.2733104566E+03 +1199.000000 3.1993395194E-01 3.2705848615E+03 +1198.000000 3.1779295062E-01 3.2678592654E+03 +1197.000000 3.1565850578E-01 3.2651336683E+03 +1196.000000 3.1353065905E-01 3.2624080702E+03 +1195.000000 3.1140945880E-01 3.2596824709E+03 +1194.000000 3.0929494156E-01 3.2569568706E+03 +1193.000000 3.0718714402E-01 3.2542312692E+03 +1192.000000 3.0508610596E-01 3.2515056666E+03 +1191.000000 3.0299186732E-01 3.2487800630E+03 +1190.000000 3.0090447668E-01 3.2460544582E+03 +1189.000000 2.9882396426E-01 3.2433288522E+03 +1188.000000 2.9675036718E-01 3.2406032451E+03 +1187.000000 2.9468372349E-01 3.2378776368E+03 +1186.000000 2.9262407296E-01 3.2351520273E+03 +1185.000000 2.9057145973E-01 3.2324264166E+03 +1184.000000 2.8852591201E-01 3.2297008046E+03 +1183.000000 2.8648746592E-01 3.2269751914E+03 +1182.000000 2.8445615770E-01 3.2242495769E+03 +1181.000000 2.8243202780E-01 3.2215239612E+03 +1180.000000 2.8041511307E-01 3.2187983441E+03 +1179.000000 2.7840544223E-01 3.2160727257E+03 +1178.000000 2.7640304952E-01 3.2133471060E+03 +1177.000000 2.7440796934E-01 3.2106214849E+03 +1176.000000 2.7242024275E-01 3.2078958624E+03 +1175.000000 2.7043989888E-01 3.2051702386E+03 +1174.000000 2.6846696720E-01 3.2024446133E+03 +1173.000000 2.6650148006E-01 3.1997189866E+03 +1172.000000 2.6454346997E-01 3.1969933585E+03 +1171.000000 2.6259297853E-01 3.1942677288E+03 +1170.000000 2.6065002690E-01 3.1915420977E+03 +1169.000000 2.5871464536E-01 3.1888164651E+03 +1168.000000 2.5678686432E-01 3.1860908309E+03 +1167.000000 2.5486671727E-01 3.1833651952E+03 +1166.000000 2.5295423729E-01 3.1806395579E+03 +1165.000000 2.5104944628E-01 3.1779139190E+03 +1164.000000 2.4915237250E-01 3.1751882784E+03 +1163.000000 2.4726304431E-01 3.1724626363E+03 +1162.000000 2.4538149614E-01 3.1697369924E+03 +1161.000000 2.4350775211E-01 3.1670113469E+03 +1160.000000 2.4164183514E-01 3.1642856997E+03 +1159.000000 2.3978377142E-01 3.1615600507E+03 +1158.000000 2.3793358734E-01 3.1588343999E+03 +1157.000000 2.3609131785E-01 3.1561087474E+03 +1156.000000 2.3425697816E-01 3.1533830930E+03 +1155.000000 2.3243059226E-01 3.1506574368E+03 +1154.000000 2.3061218421E-01 3.1479317788E+03 +1153.000000 2.2880178160E-01 3.1452061188E+03 +1152.000000 2.2699940973E-01 3.1424804569E+03 +1151.000000 2.2520508485E-01 3.1397547931E+03 +1150.000000 2.2341882878E-01 3.1370291273E+03 +1149.000000 2.2164066339E-01 3.1343034595E+03 +1148.000000 2.1987061736E-01 3.1315777897E+03 +1147.000000 2.1810870604E-01 3.1288521178E+03 +1146.000000 2.1635494699E-01 3.1261264438E+03 +1145.000000 2.1460935983E-01 3.1234007677E+03 +1144.000000 2.1287196585E-01 3.1206750894E+03 +1143.000000 2.1114278964E-01 3.1179494089E+03 +1142.000000 2.0942184151E-01 3.1152237263E+03 +1141.000000 2.0770913878E-01 3.1124980414E+03 +1140.000000 2.0600469880E-01 3.1097723542E+03 +1139.000000 2.0430854413E-01 3.1070466647E+03 +1138.000000 2.0262068882E-01 3.1043209728E+03 +1137.000000 2.0094114461E-01 3.1015952786E+03 +1136.000000 1.9926992654E-01 3.0988695819E+03 +1135.000000 1.9760705021E-01 3.0961438828E+03 +1134.000000 1.9595253762E-01 3.0934181812E+03 +1133.000000 1.9430639393E-01 3.0906924771E+03 +1132.000000 1.9266863183E-01 3.0879667704E+03 +1131.000000 1.9103926407E-01 3.0852410612E+03 +1130.000000 1.8941830762E-01 3.0825153493E+03 +1129.000000 1.8780577361E-01 3.0797896347E+03 +1128.000000 1.8620166862E-01 3.0770639174E+03 +1127.000000 1.8460600306E-01 3.0743381973E+03 +1126.000000 1.8301878742E-01 3.0716124744E+03 +1125.000000 1.8144003952E-01 3.0688867487E+03 +1124.000000 1.7986975996E-01 3.0661610201E+03 +1123.000000 1.7830795682E-01 3.0634352886E+03 +1122.000000 1.7675463818E-01 3.0607095541E+03 +1121.000000 1.7520981595E-01 3.0579838167E+03 +1120.000000 1.7367349690E-01 3.0552580761E+03 +1119.000000 1.7214568308E-01 3.0525323324E+03 +1118.000000 1.7062638026E-01 3.0498065856E+03 +1117.000000 1.6911559437E-01 3.0470808356E+03 +1116.000000 1.6761333768E-01 3.0443550824E+03 +1115.000000 1.6611960686E-01 3.0416293258E+03 +1114.000000 1.6463440536E-01 3.0389035659E+03 +1113.000000 1.6315773660E-01 3.0361778026E+03 +1112.000000 1.6168960791E-01 3.0334520358E+03 +1111.000000 1.6023002056E-01 3.0307262656E+03 +1110.000000 1.5877897267E-01 3.0280004918E+03 +1109.000000 1.5733646535E-01 3.0252747144E+03 +1108.000000 1.5590250051E-01 3.0225489333E+03 +1107.000000 1.5447708382E-01 3.0198231485E+03 +1106.000000 1.5306020854E-01 3.0170973599E+03 +1105.000000 1.5165187352E-01 3.0143715675E+03 +1104.000000 1.5025207760E-01 3.0116457712E+03 +1103.000000 1.4886082389E-01 3.0089199709E+03 +1102.000000 1.4747810735E-01 3.0061941666E+03 +1101.000000 1.4610392267E-01 3.0034683582E+03 +1100.000000 1.4473826642E-01 3.0007425457E+03 +1099.000000 1.4338113684E-01 2.9980167290E+03 +1098.000000 1.4203253239E-01 2.9952909080E+03 +1097.000000 1.4069244330E-01 2.9925650827E+03 +1096.000000 1.3936086398E-01 2.9898392530E+03 +1095.000000 1.3803778875E-01 2.9871134188E+03 +1094.000000 1.3672321673E-01 2.9843875800E+03 +1093.000000 1.3541713625E-01 2.9816617367E+03 +1092.000000 1.3411953892E-01 2.9789358886E+03 +1091.000000 1.3283041694E-01 2.9762100358E+03 +1090.000000 1.3154976513E-01 2.9734841782E+03 +1089.000000 1.3027757446E-01 2.9707583156E+03 +1088.000000 1.2901383251E-01 2.9680324481E+03 +1087.000000 1.2775852936E-01 2.9653065755E+03 +1086.000000 1.2651165579E-01 2.9625806977E+03 +1085.000000 1.2527320466E-01 2.9598548147E+03 +1084.000000 1.2404316010E-01 2.9571289264E+03 +1083.000000 1.2282151017E-01 2.9544030327E+03 +1082.000000 1.2160824282E-01 2.9516771335E+03 +1081.000000 1.2040334953E-01 2.9489512288E+03 +1080.000000 1.1920681396E-01 2.9462253184E+03 +1079.000000 1.1801862136E-01 2.9434994022E+03 +1078.000000 1.1683875767E-01 2.9407734802E+03 +1077.000000 1.1566721080E-01 2.9380475523E+03 +1076.000000 1.1450396580E-01 2.9353216184E+03 +1075.000000 1.1334900475E-01 2.9325956783E+03 +1074.000000 1.1220231168E-01 2.9298697320E+03 +1073.000000 1.1106387123E-01 2.9271437793E+03 +1072.000000 1.0993366922E-01 2.9244178203E+03 +1071.000000 1.0881168499E-01 2.9216918547E+03 +1070.000000 1.0769790076E-01 2.9189658825E+03 +1069.000000 1.0659229857E-01 2.9162399035E+03 +1068.000000 1.0549486338E-01 2.9135139177E+03 +1067.000000 1.0440557321E-01 2.9107879250E+03 +1066.000000 1.0332440816E-01 2.9080619251E+03 +1065.000000 1.0225134852E-01 2.9053359181E+03 +1064.000000 1.0118637630E-01 2.9026099037E+03 +1063.000000 1.0012947005E-01 2.8998838820E+03 +1062.000000 9.9080607401E-02 2.8971578527E+03 +1061.000000 9.8039766951E-02 2.8944318157E+03 +1060.000000 9.7006928149E-02 2.8917057709E+03 +1059.000000 9.5982069552E-02 2.8889797182E+03 +1058.000000 9.4965166643E-02 2.8862536575E+03 +1057.000000 9.3956196399E-02 2.8835275886E+03 +1056.000000 9.2955135945E-02 2.8808015113E+03 +1055.000000 9.1961963402E-02 2.8780754256E+03 +1054.000000 9.0976652462E-02 2.8753493313E+03 +1053.000000 8.9999178576E-02 2.8726232283E+03 +1052.000000 8.9029517000E-02 2.8698971164E+03 +1051.000000 8.8067644521E-02 2.8671709955E+03 +1050.000000 8.7113533840E-02 2.8644448653E+03 +1049.000000 8.6167158809E-02 2.8617187259E+03 +1048.000000 8.5228493239E-02 2.8589925770E+03 +1047.000000 8.4297511889E-02 2.8562664184E+03 +1046.000000 8.3374187085E-02 2.8535402501E+03 +1045.000000 8.2458491001E-02 2.8508140718E+03 +1044.000000 8.1550396072E-02 2.8480878833E+03 +1043.000000 8.0649875168E-02 2.8453616846E+03 +1042.000000 7.9756900011E-02 2.8426354754E+03 +1041.000000 7.8871441403E-02 2.8399092556E+03 +1040.000000 7.7993470508E-02 2.8371830249E+03 +1039.000000 7.7122958603E-02 2.8344567832E+03 +1038.000000 7.6259876554E-02 2.8317305304E+03 +1037.000000 7.5404193968E-02 2.8290042662E+03 +1036.000000 7.4555880816E-02 2.8262779904E+03 +1035.000000 7.3714906962E-02 2.8235517029E+03 +1034.000000 7.2881242219E-02 2.8208254034E+03 +1033.000000 7.2054855217E-02 2.8180990917E+03 +1032.000000 7.1235714815E-02 2.8153727677E+03 +1031.000000 7.0423789657E-02 2.8126464312E+03 +1030.000000 6.9619048325E-02 2.8099200818E+03 +1029.000000 6.8821458696E-02 2.8071937195E+03 +1028.000000 6.8030988620E-02 2.8044673440E+03 +1027.000000 6.7247605710E-02 2.8017409550E+03 +1026.000000 6.6471277313E-02 2.7990145523E+03 +1025.000000 6.5701970606E-02 2.7962881358E+03 +1024.000000 6.4939652500E-02 2.7935617051E+03 +1023.000000 6.4184289664E-02 2.7908352601E+03 +1022.000000 6.3435848230E-02 2.7881088005E+03 +1021.000000 6.2694294727E-02 2.7853823260E+03 +1020.000000 6.1959595275E-02 2.7826558363E+03 +1019.000000 6.1231715696E-02 2.7799293314E+03 +1018.000000 6.0510621081E-02 2.7772028107E+03 +1017.000000 5.9796277253E-02 2.7744762742E+03 +1016.000000 5.9088649678E-02 2.7717497216E+03 +1015.000000 5.8387703411E-02 2.7690231525E+03 +1014.000000 5.7693402660E-02 2.7662965666E+03 +1013.000000 5.7005712518E-02 2.7635699638E+03 +1012.000000 5.6324597884E-02 2.7608433437E+03 +1011.000000 5.5650023123E-02 2.7581167059E+03 +1010.000000 5.4981951606E-02 2.7553900503E+03 +1009.000000 5.4320347764E-02 2.7526633765E+03 +1008.000000 5.3665176060E-02 2.7499366842E+03 +1007.000000 5.3016400265E-02 2.7472099731E+03 +1006.000000 5.2373983068E-02 2.7444832428E+03 +1005.000000 5.1737888283E-02 2.7417564931E+03 +1004.000000 5.1108079981E-02 2.7390297235E+03 +1003.000000 5.0484521406E-02 2.7363029338E+03 +1002.000000 4.9867174619E-02 2.7335761236E+03 +1001.000000 4.9256002913E-02 2.7308492926E+03 +1000.000000 4.8650970039E-02 2.7281224404E+03 +999.000000 4.8052038794E-02 2.7253955667E+03 +998.000000 4.7459170665E-02 2.7226686710E+03 +997.000000 4.6872328549E-02 2.7199417530E+03 +996.000000 4.6291475950E-02 2.7172148123E+03 +995.000000 4.5716575298E-02 2.7144878485E+03 +994.000000 4.5147587603E-02 2.7117608613E+03 +993.000000 4.4584475498E-02 2.7090338503E+03 +992.000000 4.4027202236E-02 2.7063068149E+03 +991.000000 4.3475729943E-02 2.7035797548E+03 +990.000000 4.2930019154E-02 2.7008526697E+03 +989.000000 4.2390032402E-02 2.6981255590E+03 +988.000000 4.1855732743E-02 2.6953984223E+03 +987.000000 4.1327082073E-02 2.6926712592E+03 +986.000000 4.0804040502E-02 2.6899440692E+03 +985.000000 4.0286570641E-02 2.6872168518E+03 +984.000000 3.9774635355E-02 2.6844896067E+03 +983.000000 3.9268196385E-02 2.6817623333E+03 +982.000000 3.8767213462E-02 2.6790350311E+03 +981.000000 3.8271649441E-02 2.6763076996E+03 +980.000000 3.7781466992E-02 2.6735803384E+03 +979.000000 3.7296627749E-02 2.6708529470E+03 +978.000000 3.6817091054E-02 2.6681255247E+03 +977.000000 3.6342820220E-02 2.6653980712E+03 +976.000000 3.5873777729E-02 2.6626705858E+03 +975.000000 3.5409925184E-02 2.6599430681E+03 +974.000000 3.4951221584E-02 2.6572155174E+03 +973.000000 3.4497630875E-02 2.6544879332E+03 +972.000000 3.4049115341E-02 2.6517603150E+03 +971.000000 3.3605636602E-02 2.6490326622E+03 +970.000000 3.3167153339E-02 2.6463049741E+03 +969.000000 3.2733630316E-02 2.6435772502E+03 +968.000000 3.2305029595E-02 2.6408494899E+03 +967.000000 3.1881312605E-02 2.6381216926E+03 +966.000000 3.1462438502E-02 2.6353938576E+03 +965.000000 3.1048372282E-02 2.6326659843E+03 +964.000000 3.0639076040E-02 2.6299380720E+03 +963.000000 3.0234510907E-02 2.6272101202E+03 +962.000000 2.9834637070E-02 2.6244821281E+03 +961.000000 2.9439419400E-02 2.6217540950E+03 +960.000000 2.9048820165E-02 2.6190260204E+03 +959.000000 2.8662800182E-02 2.6162979034E+03 +958.000000 2.8281320887E-02 2.6135697434E+03 +957.000000 2.7904346989E-02 2.6108415397E+03 +956.000000 2.7531840975E-02 2.6081132915E+03 +955.000000 2.7163763333E-02 2.6053849981E+03 +954.000000 2.6800076975E-02 2.6026566587E+03 +953.000000 2.6440746407E-02 2.5999282726E+03 +952.000000 2.6085734383E-02 2.5971998391E+03 +951.000000 2.5735001089E-02 2.5944713572E+03 +950.000000 2.5388511106E-02 2.5917428263E+03 +949.000000 2.5046228673E-02 2.5890142456E+03 +948.000000 2.4708116845E-02 2.5862856141E+03 +947.000000 2.4374135514E-02 2.5835569312E+03 +946.000000 2.4044251102E-02 2.5808281958E+03 +945.000000 2.3718427544E-02 2.5780994073E+03 +944.000000 2.3396627798E-02 2.5753705647E+03 +943.000000 2.3078812820E-02 2.5726416672E+03 +942.000000 2.2764949694E-02 2.5699127139E+03 +941.000000 2.2455002454E-02 2.5671837038E+03 +940.000000 2.2148933670E-02 2.5644546361E+03 +939.000000 2.1846706438E-02 2.5617255099E+03 +938.000000 2.1548287574E-02 2.5589963241E+03 +937.000000 2.1253641512E-02 2.5562670780E+03 +936.000000 2.0962730435E-02 2.5535377704E+03 +935.000000 2.0675519767E-02 2.5508084005E+03 +934.000000 2.0391975984E-02 2.5480789672E+03 +933.000000 2.0112063954E-02 2.5453494697E+03 +932.000000 1.9835745515E-02 2.5426199067E+03 +931.000000 1.9562988560E-02 2.5398902775E+03 +930.000000 1.9293759162E-02 2.5371605808E+03 +929.000000 1.9028022213E-02 2.5344308158E+03 +928.000000 1.8765740602E-02 2.5317009812E+03 +927.000000 1.8506883439E-02 2.5289710761E+03 +926.000000 1.8251416781E-02 2.5262410995E+03 +925.000000 1.7999305046E-02 2.5235110501E+03 +924.000000 1.7750513856E-02 2.5207809269E+03 +923.000000 1.7505011958E-02 2.5180507288E+03 +922.000000 1.7262765911E-02 2.5153204547E+03 +921.000000 1.7023739697E-02 2.5125901034E+03 +920.000000 1.6787901830E-02 2.5098596738E+03 +919.000000 1.6555220587E-02 2.5071291648E+03 +918.000000 1.6325662942E-02 2.5043985751E+03 +917.000000 1.6099192874E-02 2.5016679037E+03 +916.000000 1.5875781491E-02 2.4989371492E+03 +915.000000 1.5655396649E-02 2.4962063106E+03 +914.000000 1.5438004768E-02 2.4934753866E+03 +913.000000 1.5223572916E-02 2.4907443760E+03 +912.000000 1.5012071788E-02 2.4880132775E+03 +911.000000 1.4803469793E-02 2.4852820900E+03 +910.000000 1.4597732860E-02 2.4825508121E+03 +909.000000 1.4394831283E-02 2.4798194427E+03 +908.000000 1.4194735214E-02 2.4770879804E+03 +907.000000 1.3997413401E-02 2.4743564240E+03 +906.000000 1.3802832095E-02 2.4716247722E+03 +905.000000 1.3610964119E-02 2.4688930238E+03 +904.000000 1.3421779247E-02 2.4661611773E+03 +903.000000 1.3235245625E-02 2.4634292316E+03 +902.000000 1.3051332902E-02 2.4606971853E+03 +901.000000 1.2870013398E-02 2.4579650371E+03 +900.000000 1.2691257473E-02 2.4552327856E+03 +899.000000 1.2515032772E-02 2.4525004295E+03 +898.000000 1.2341312412E-02 2.4497679676E+03 +897.000000 1.2170068088E-02 2.4470353984E+03 +896.000000 1.2001270018E-02 2.4443027206E+03 +895.000000 1.1834887763E-02 2.4415699328E+03 +894.000000 1.1670895565E-02 2.4388370337E+03 +893.000000 1.1509265194E-02 2.4361040220E+03 +892.000000 1.1349966264E-02 2.4333708963E+03 +891.000000 1.1192971969E-02 2.4306376551E+03 +890.000000 1.1038255933E-02 2.4279042972E+03 +889.000000 1.0885790264E-02 2.4251708212E+03 +888.000000 1.0735544967E-02 2.4224372257E+03 +887.000000 1.0587495991E-02 2.4197035093E+03 +886.000000 1.0441616526E-02 2.4169696706E+03 +885.000000 1.0297878018E-02 2.4142357084E+03 +884.000000 1.0156254206E-02 2.4115016211E+03 +883.000000 1.0016720432E-02 2.4087674076E+03 +882.000000 9.8792504996E-03 2.4060330663E+03 +881.000000 9.7438153581E-03 2.4032985959E+03 +880.000000 9.6103924516E-03 2.4005639950E+03 +879.000000 9.4789564017E-03 2.3978292624E+03 +878.000000 9.3494803172E-03 2.3950943967E+03 +877.000000 9.2219389252E-03 2.3923593964E+03 +876.000000 9.0963091014E-03 2.3896242603E+03 +875.000000 8.9725660752E-03 2.3868889870E+03 +874.000000 8.8506824258E-03 2.3841535752E+03 +873.000000 8.7306366642E-03 2.3814180235E+03 +872.000000 8.6124049280E-03 2.3786823308E+03 +871.000000 8.4959618292E-03 2.3759464956E+03 +870.000000 8.3812834705E-03 2.3732105165E+03 +869.000000 8.2683480922E-03 2.3704743926E+03 +868.000000 8.1571323413E-03 2.3677381223E+03 +867.000000 8.0476102967E-03 2.3650017043E+03 +866.000000 7.9397618822E-03 2.3622651376E+03 +865.000000 7.8335645844E-03 2.3595284209E+03 +864.000000 7.7289943745E-03 2.3567915528E+03 +863.000000 7.6260290667E-03 2.3540545322E+03 +862.000000 7.5246481118E-03 2.3513173579E+03 +861.000000 7.4248294169E-03 2.3485800287E+03 +860.000000 7.3265488852E-03 2.3458425434E+03 +859.000000 7.2297877012E-03 2.3431049009E+03 +858.000000 7.1345246929E-03 2.3403671001E+03 +857.000000 7.0407370627E-03 2.3376291397E+03 +856.000000 6.9484046134E-03 2.3348910187E+03 +855.000000 6.8575078694E-03 2.3321527362E+03 +854.000000 6.7680258194E-03 2.3294142909E+03 +853.000000 6.6799365920E-03 2.3266756817E+03 +852.000000 6.5932223632E-03 2.3239369077E+03 +851.000000 6.5078633297E-03 2.3211979680E+03 +850.000000 6.4238378299E-03 2.3184588614E+03 +849.000000 6.3411278679E-03 2.3157195870E+03 +848.000000 6.2597149100E-03 2.3129801439E+03 +847.000000 6.1795789197E-03 2.3102405312E+03 +846.000000 6.1007004551E-03 2.3075007478E+03 +845.000000 6.0230625609E-03 2.3047607931E+03 +844.000000 5.9466467762E-03 2.3020206661E+03 +843.000000 5.8714325190E-03 2.2992803659E+03 +842.000000 5.7974041276E-03 2.2965398918E+03 +841.000000 5.7245438964E-03 2.2937992431E+03 +840.000000 5.6528326938E-03 2.2910584188E+03 +839.000000 5.5822536518E-03 2.2883174182E+03 +838.000000 5.5127905590E-03 2.2855762408E+03 +837.000000 5.4444257429E-03 2.2828320351E+03 +836.000000 5.3771412586E-03 2.2800811951E+03 +835.000000 5.3109222459E-03 2.2773377407E+03 +834.000000 5.2457522590E-03 2.2746077578E+03 +833.000000 5.1816116859E-03 2.2719335159E+03 +832.000000 5.1184882941E-03 2.2692679705E+03 +831.000000 5.0563675402E-03 2.2665900599E+03 +830.000000 4.9952366925E-03 2.2638489421E+03 +829.000000 4.9350788089E-03 2.2610544634E+03 +828.000000 4.8758747548E-03 2.2582471546E+03 +827.000000 4.8176043096E-03 2.2554499739E+03 +826.000000 4.7602464991E-03 2.2526877312E+03 +825.000000 4.7037965224E-03 2.2499393131E+03 +824.000000 4.6482421384E-03 2.2472043262E+03 +823.000000 4.5935740929E-03 2.2444979879E+03 +822.000000 4.5397751852E-03 2.2417958023E+03 +821.000000 4.4868307239E-03 2.2390864743E+03 +820.000000 4.4347252915E-03 2.2363374948E+03 +819.000000 4.3834449664E-03 2.2335612222E+03 +818.000000 4.3329760186E-03 2.2307785468E+03 +817.000000 4.2833022513E-03 2.2280047462E+03 +816.000000 4.2344091768E-03 2.2252492790E+03 +815.000000 4.1862883494E-03 2.2225017960E+03 +814.000000 4.1389282012E-03 2.2197670819E+03 +813.000000 4.0923175455E-03 2.2170752491E+03 +812.000000 4.0464433192E-03 2.2143614624E+03 +811.000000 4.0012930773E-03 2.2115989396E+03 +810.000000 3.9568561743E-03 2.2086335510E+03 +809.000000 3.9131172488E-03 2.2056199655E+03 +808.000000 3.8700618380E-03 2.2026456865E+03 +807.000000 3.8276658898E-03 2.1998988634E+03 +806.000000 3.7859244158E-03 2.1973274532E+03 +805.000000 3.7448388579E-03 2.1947977621E+03 +804.000000 3.7044115575E-03 2.1922104245E+03 +803.000000 3.6646373341E-03 2.1895114875E+03 +802.000000 3.6254888421E-03 2.1867821390E+03 +801.000000 3.5869472867E-03 2.1840382299E+03 +800.000000 3.5489886892E-03 2.1813027317E+03 +799.000000 3.5116171909E-03 2.1785594331E+03 +798.000000 3.4748251434E-03 2.1758084273E+03 +797.000000 3.4386084147E-03 2.1730191368E+03 +796.000000 3.4029534546E-03 2.1702411104E+03 +795.000000 3.3678498774E-03 2.1674962310E+03 +794.000000 3.3332835076E-03 2.1648893329E+03 +793.000000 3.2992490197E-03 2.1623299120E+03 +792.000000 3.2657401793E-03 2.1597456542E+03 +791.000000 3.2327539381E-03 2.1570054258E+03 +790.000000 3.2002786302E-03 2.1541403967E+03 +789.000000 3.1682991679E-03 2.1512452402E+03 +788.000000 3.1367981227E-03 2.1483870437E+03 +787.000000 3.1057649832E-03 2.1455948749E+03 +786.000000 3.0752012368E-03 2.1428320275E+03 +785.000000 3.0451032678E-03 2.1401071863E+03 +784.000000 3.0154670608E-03 2.1374268166E+03 +783.000000 2.9862805270E-03 2.1347472962E+03 +782.000000 2.9575350190E-03 2.1320381367E+03 +781.000000 2.9292215556E-03 2.1292435482E+03 +780.000000 2.9013323587E-03 2.1264293804E+03 +779.000000 2.8738589731E-03 2.1236130743E+03 +778.000000 2.8467893087E-03 2.1208355432E+03 +777.000000 2.8201213454E-03 2.1180714509E+03 +776.000000 2.7938492057E-03 2.1153203848E+03 +775.000000 2.7679680836E-03 2.1126198699E+03 +774.000000 2.7424702402E-03 2.1099099381E+03 +773.000000 2.7173486740E-03 2.1071572819E+03 +772.000000 2.6925972791E-03 2.1042236598E+03 +771.000000 2.6682078872E-03 2.1012337548E+03 +770.000000 2.6441725356E-03 2.0982773090E+03 +769.000000 2.6204777666E-03 2.0955350727E+03 +768.000000 2.5971227823E-03 2.0929211955E+03 +767.000000 2.5741072630E-03 2.0903388986E+03 +766.000000 2.5514338799E-03 2.0876924011E+03 +765.000000 2.5290941233E-03 2.0849846999E+03 +764.000000 2.5070765842E-03 2.0822439575E+03 +763.000000 2.4853695488E-03 2.0794515678E+03 +762.000000 2.4639676070E-03 2.0766259853E+03 +761.000000 2.4428685791E-03 2.0738048616E+03 +760.000000 2.4220673387E-03 2.0710436334E+03 +759.000000 2.4015594598E-03 2.0683417405E+03 +758.000000 2.3813410832E-03 2.0656526611E+03 +757.000000 2.3614088055E-03 2.0629460861E+03 +756.000000 2.3417577747E-03 2.0602122671E+03 +755.000000 2.3223814802E-03 2.0574651067E+03 +754.000000 2.3032733434E-03 2.0546895102E+03 +753.000000 2.2844281575E-03 2.0518932500E+03 +752.000000 2.2658427340E-03 2.0491173958E+03 +751.000000 2.2475120612E-03 2.0464289507E+03 +750.000000 2.2294320332E-03 2.0438327317E+03 +749.000000 2.2116000831E-03 2.0412295350E+03 +748.000000 2.1940142173E-03 2.0385254209E+03 +747.000000 2.1766703881E-03 2.0356956020E+03 +746.000000 2.1595610243E-03 2.0328348821E+03 +745.000000 2.1426781209E-03 2.0299972166E+03 +744.000000 2.1260168385E-03 2.0272054864E+03 +743.000000 2.1095774397E-03 2.0244326236E+03 +742.000000 2.0933583667E-03 2.0216977921E+03 +741.000000 2.0773566078E-03 2.0189894587E+03 +740.000000 2.0615672027E-03 2.0162547790E+03 +739.000000 2.0459864284E-03 2.0134016637E+03 +738.000000 2.0306101504E-03 2.0104419096E+03 +737.000000 2.0154338112E-03 2.0074943060E+03 +736.000000 2.0004507008E-03 2.0046899156E+03 +735.000000 1.9856584156E-03 2.0020229483E+03 +734.000000 1.9710576201E-03 1.9993899044E+03 +733.000000 1.9566494911E-03 1.9967162064E+03 +732.000000 1.9424300501E-03 1.9939961542E+03 +731.000000 1.9283930755E-03 1.9912537250E+03 +730.000000 1.9145322445E-03 1.9884614208E+03 +729.000000 1.9008451980E-03 1.9856536545E+03 +728.000000 1.8873303219E-03 1.9828769812E+03 +727.000000 1.8739843245E-03 1.9802495744E+03 +726.000000 1.8608055727E-03 1.9776842049E+03 +725.000000 1.8477924104E-03 1.9750937638E+03 +724.000000 1.8349452669E-03 1.9723212181E+03 +723.000000 1.8222585062E-03 1.9694676517E+03 +722.000000 1.8097274330E-03 1.9665926881E+03 +721.000000 1.7973443637E-03 1.9637800242E+03 +720.000000 1.7851110160E-03 1.9609894890E+03 +719.000000 1.7730264339E-03 1.9582187472E+03 +718.000000 1.7610906039E-03 1.9554923074E+03 +717.000000 1.7492994961E-03 1.9527575658E+03 +716.000000 1.7376505302E-03 1.9499735931E+03 +715.000000 1.7261411348E-03 1.9470739743E+03 +714.000000 1.7147684843E-03 1.9441697447E+03 +713.000000 1.7035290772E-03 1.9413359037E+03 +712.000000 1.6924198710E-03 1.9386263797E+03 +711.000000 1.6814413708E-03 1.9359373837E+03 +710.000000 1.6705936229E-03 1.9331851514E+03 +709.000000 1.6598748973E-03 1.9303629233E+03 +708.000000 1.6492810292E-03 1.9275697746E+03 +707.000000 1.6388073045E-03 1.9249396032E+03 +706.000000 1.6284528433E-03 1.9224126839E+03 +705.000000 1.6182180692E-03 1.9198628027E+03 +704.000000 1.6081048401E-03 1.9171076187E+03 +703.000000 1.5981085007E-03 1.9142481672E+03 +702.000000 1.5882249342E-03 1.9113610381E+03 +701.000000 1.5784475082E-03 1.9085439227E+03 +700.000000 1.5687786568E-03 1.9057466436E+03 +699.000000 1.5592181247E-03 1.9029715919E+03 +698.000000 1.5497660211E-03 1.9002304436E+03 +697.000000 1.5404192927E-03 1.8974818594E+03 +696.000000 1.5311760605E-03 1.8946785935E+03 +695.000000 1.5220344406E-03 1.8918034538E+03 +694.000000 1.5129925701E-03 1.8889315383E+03 +693.000000 1.5040477311E-03 1.8861387126E+03 +692.000000 1.4951989113E-03 1.8834119126E+03 +691.000000 1.4864459006E-03 1.8806959221E+03 +690.000000 1.4777889202E-03 1.8779216644E+03 +689.000000 1.4692255075E-03 1.8751344777E+03 +688.000000 1.4607533994E-03 1.8723709846E+03 +687.000000 1.4523692207E-03 1.8697198245E+03 +686.000000 1.4440742480E-03 1.8670524674E+03 +685.000000 1.4358691091E-03 1.8642684691E+03 +684.000000 1.4277537806E-03 1.8612979359E+03 +683.000000 1.4197230407E-03 1.8583198437E+03 +682.000000 1.4117712934E-03 1.8554950089E+03 +681.000000 1.4038980774E-03 1.8528098632E+03 +680.000000 1.3961059796E-03 1.8501471700E+03 +679.000000 1.3883982878E-03 1.8473725846E+03 +678.000000 1.3807711556E-03 1.8445747146E+03 +677.000000 1.3732214716E-03 1.8418228755E+03 +676.000000 1.3657455478E-03 1.8392196852E+03 +675.000000 1.3583450759E-03 1.8366245361E+03 +674.000000 1.3510205944E-03 1.8339411810E+03 +673.000000 1.3437714804E-03 1.8311352569E+03 +672.000000 1.3365946950E-03 1.8283017927E+03 +671.000000 1.3294870346E-03 1.8255191139E+03 +670.000000 1.3224483974E-03 1.8227593433E+03 +669.000000 1.3154789681E-03 1.8199835730E+03 +668.000000 1.3085792477E-03 1.8171173275E+03 +667.000000 1.3017469461E-03 1.8142605606E+03 +666.000000 1.2949802502E-03 1.8115055749E+03 +665.000000 1.2882778462E-03 1.8088876523E+03 +664.000000 1.2816402749E-03 1.8062331480E+03 +663.000000 1.2750686430E-03 1.8033125708E+03 +662.000000 1.2685607129E-03 1.8002487695E+03 +661.000000 1.2621136179E-03 1.7972244723E+03 +660.000000 1.2557227040E-03 1.7945017276E+03 +659.000000 1.2493914473E-03 1.7918478508E+03 +658.000000 1.2431216803E-03 1.7891538621E+03 +657.000000 1.2369136855E-03 1.7863713541E+03 +656.000000 1.2307640175E-03 1.7835981388E+03 +655.000000 1.2246695041E-03 1.7809434565E+03 +654.000000 1.2186305308E-03 1.7783173356E+03 +653.000000 1.2126476760E-03 1.7756089260E+03 +652.000000 1.2067216584E-03 1.7726742735E+03 +651.000000 1.2008496254E-03 1.7697131877E+03 +650.000000 1.1950288795E-03 1.7668730171E+03 +649.000000 1.1892589346E-03 1.7641612868E+03 +648.000000 1.1835410849E-03 1.7614729096E+03 +647.000000 1.1778770729E-03 1.7587079363E+03 +646.000000 1.1722644330E-03 1.7559327851E+03 +645.000000 1.1667013722E-03 1.7531915099E+03 +644.000000 1.1611866094E-03 1.7505027413E+03 +643.000000 1.1557205739E-03 1.7477961024E+03 +642.000000 1.1503035530E-03 1.7449670825E+03 +641.000000 1.1449343270E-03 1.7420971051E+03 +640.000000 1.1396114202E-03 1.7393001577E+03 +639.000000 1.1343333050E-03 1.7366975808E+03 +638.000000 1.1291010223E-03 1.7340738815E+03 +637.000000 1.1239158096E-03 1.7312062484E+03 +636.000000 1.1187762394E-03 1.7281741198E+03 +635.000000 1.1136797502E-03 1.7251761641E+03 +634.000000 1.1086230085E-03 1.7224329682E+03 +633.000000 1.1036087113E-03 1.7197490497E+03 +632.000000 1.0986385667E-03 1.7170278586E+03 +631.000000 1.0937120961E-03 1.7142582453E+03 +630.000000 1.0888271732E-03 1.7114933583E+03 +629.000000 1.0839816367E-03 1.7087898038E+03 +628.000000 1.0791762728E-03 1.7060805931E+03 +627.000000 1.0744112167E-03 1.7033037812E+03 +626.000000 1.0696860077E-03 1.7004646292E+03 +625.000000 1.0649995443E-03 1.6976408374E+03 +624.000000 1.0603503513E-03 1.6949630454E+03 +623.000000 1.0557390570E-03 1.6922877817E+03 +622.000000 1.0511661508E-03 1.6894835282E+03 +621.000000 1.0466311437E-03 1.6865557897E+03 +620.000000 1.0421324461E-03 1.6836645461E+03 +619.000000 1.0376676788E-03 1.6810721022E+03 +618.000000 1.0332385718E-03 1.6784867911E+03 +617.000000 1.0288466022E-03 1.6756675243E+03 +616.000000 1.0244911173E-03 1.6726235850E+03 +615.000000 1.0201694443E-03 1.6695967755E+03 +614.000000 1.0158782303E-03 1.6668380660E+03 +613.000000 1.0116202088E-03 1.6641435510E+03 +612.000000 1.0073971526E-03 1.6614158967E+03 +611.000000 1.0032085264E-03 1.6586489650E+03 +610.000000 9.9905247656E-04 1.6558876552E+03 +609.000000 9.9492754987E-04 1.6531584086E+03 +608.000000 9.9083429993E-04 1.6504228052E+03 +607.000000 9.8677284658E-04 1.6476393233E+03 +606.000000 9.8274265778E-04 1.6448317016E+03 +605.000000 9.7874299445E-04 1.6420467512E+03 +604.000000 9.7477327834E-04 1.6393133945E+03 +603.000000 9.7083362172E-04 1.6365728870E+03 +602.000000 9.6692418532E-04 1.6337546566E+03 +601.000000 9.6304422185E-04 1.6309176414E+03 +600.000000 9.5919286534E-04 1.6281345681E+03 +599.000000 9.5536971968E-04 1.6254150867E+03 +598.000000 9.5157507007E-04 1.6226784321E+03 +597.000000 9.4780932949E-04 1.6198227130E+03 +596.000000 9.4407136708E-04 1.6169629040E+03 +595.000000 9.4036008723E-04 1.6142050892E+03 +594.000000 9.3667550779E-04 1.6115067343E+03 +593.000000 9.3301820021E-04 1.6087499187E+03 +592.000000 9.2938837605E-04 1.6058647522E+03 +591.000000 9.2578475696E-04 1.6029881019E+03 +590.000000 9.2220587424E-04 1.6002789206E+03 +589.000000 9.1865247282E-04 1.5975998716E+03 +588.000000 9.1512539972E-04 1.5947973697E+03 +587.000000 9.1162428321E-04 1.5918850390E+03 +586.000000 9.0814763612E-04 1.5890290870E+03 +585.000000 9.0469420551E-04 1.5863620911E+03 +584.000000 9.0126516256E-04 1.5836918566E+03 +583.000000 8.9786171831E-04 1.5808176942E+03 +582.000000 8.9448253261E-04 1.5778880658E+03 +581.000000 8.9112589848E-04 1.5750992770E+03 +580.000000 8.8779156377E-04 1.5724521054E+03 +579.000000 8.8448080011E-04 1.5697426764E+03 +578.000000 8.8119452949E-04 1.5668128013E+03 +577.000000 8.7793088336E-04 1.5638841427E+03 +576.000000 8.7468792961E-04 1.5611837929E+03 +575.000000 8.7146673416E-04 1.5585386733E+03 +574.000000 8.6826866126E-04 1.5557340468E+03 +573.000000 8.6509331909E-04 1.5527924662E+03 +572.000000 8.6193887300E-04 1.5499308659E+03 +571.000000 8.5880417907E-04 1.5472725196E+03 +570.000000 8.5569060942E-04 1.5446060028E+03 +569.000000 8.5259964952E-04 1.5417024507E+03 +568.000000 8.4952952634E-04 1.5387723598E+03 +567.000000 8.4647853862E-04 1.5360142058E+03 +566.000000 8.4344707911E-04 1.5333489861E+03 +565.000000 8.4043642550E-04 1.5305793801E+03 +564.000000 8.3744668403E-04 1.5276643422E+03 +563.000000 8.3447627353E-04 1.5247887385E+03 +562.000000 8.3152394697E-04 1.5220914756E+03 +561.000000 8.2859084808E-04 1.5193965777E+03 +560.000000 8.2567806857E-04 1.5165330363E+03 +559.000000 8.2278440667E-04 1.5136363353E+03 +558.000000 8.1990854508E-04 1.5108555379E+03 +557.000000 8.1705064991E-04 1.5081451821E+03 +556.000000 8.1421159797E-04 1.5053658253E+03 +555.000000 8.1139141098E-04 1.5024909573E+03 +554.000000 8.0858897523E-04 1.4996446274E+03 +553.000000 8.0580351918E-04 1.4969048053E+03 +552.000000 8.0303569201E-04 1.4941648468E+03 +551.000000 8.0028611819E-04 1.4913196673E+03 +550.000000 7.9755391963E-04 1.4884635478E+03 +549.000000 7.9483828480E-04 1.4856802275E+03 +548.000000 7.9213939740E-04 1.4829251988E+03 +547.000000 7.8945767108E-04 1.4801232673E+03 +546.000000 7.8679288930E-04 1.4772821352E+03 +545.000000 7.8414439911E-04 1.4744664347E+03 +544.000000 7.8151191400E-04 1.4716931045E+03 +543.000000 7.7889569689E-04 1.4689087321E+03 +542.000000 7.7629583406E-04 1.4660820260E+03 +541.000000 7.7371185379E-04 1.4632555013E+03 +540.000000 7.7114331044E-04 1.4604668125E+03 +539.000000 7.6859034044E-04 1.4576805799E+03 +538.000000 7.6605302819E-04 1.4548667037E+03 +537.000000 7.6353107868E-04 1.4520455420E+03 +536.000000 7.6102415570E-04 1.4492417415E+03 +535.000000 7.5853219091E-04 1.4464467357E+03 +534.000000 7.5605520230E-04 1.4436405210E+03 +533.000000 7.5359304623E-04 1.4408242933E+03 +532.000000 7.5114546608E-04 1.4380137726E+03 +531.000000 7.4871230620E-04 1.4352118725E+03 +530.000000 7.4629353272E-04 1.4324065847E+03 +529.000000 7.4388905220E-04 1.4295931032E+03 +528.000000 7.4149867021E-04 1.4267803535E+03 +527.000000 7.3912221535E-04 1.4239736180E+03 +526.000000 7.3675961921E-04 1.4211664204E+03 +525.000000 7.3441079346E-04 1.4183537937E+03 +524.000000 7.3207558471E-04 1.4155404226E+03 +523.000000 7.2975383623E-04 1.4127302610E+03 +522.000000 7.2744545931E-04 1.4099201965E+03 +521.000000 7.2515035491E-04 1.4071074081E+03 +520.000000 7.2286839741E-04 1.4042935948E+03 +519.000000 7.2059945232E-04 1.4014808293E+03 +518.000000 7.1834341624E-04 1.3986682469E+03 +517.000000 7.1610018691E-04 1.3958543538E+03 +516.000000 7.1386965250E-04 1.3930395370E+03 +515.000000 7.1165169360E-04 1.3902248429E+03 +514.000000 7.0944620440E-04 1.3874101303E+03 +513.000000 7.0725308300E-04 1.3845946735E+03 +512.000000 7.0507222409E-04 1.3817784893E+03 +511.000000 7.0290351886E-04 1.3789620648E+03 +510.000000 7.0074686377E-04 1.3761454276E+03 +509.000000 6.9860215942E-04 1.3733282497E+03 +508.000000 6.9646930477E-04 1.3705104855E+03 +507.000000 6.9434819864E-04 1.3676923459E+03 +506.000000 6.9223874117E-04 1.3648738686E+03 +505.000000 6.9014083654E-04 1.3620549138E+03 +504.000000 6.8805438743E-04 1.3592354472E+03 +503.000000 6.8597929849E-04 1.3564155536E+03 +502.000000 6.8391547394E-04 1.3535952535E+03 +501.000000 6.8186282176E-04 1.3507744896E+03 +500.000000 6.7982124846E-04 1.3479532440E+03 +499.000000 6.7779066335E-04 1.3451315482E+03 +498.000000 6.7577097473E-04 1.3423094091E+03 +497.000000 6.7376209431E-04 1.3394868038E+03 +496.000000 6.7176393250E-04 1.3366637236E+03 +495.000000 6.6977640256E-04 1.3338401786E+03 +494.000000 6.6779941683E-04 1.3310161694E+03 +493.000000 6.6583289047E-04 1.3281916860E+03 +492.000000 6.6387673785E-04 1.3253667240E+03 +491.000000 6.6193087567E-04 1.3225412851E+03 +490.000000 6.5999522027E-04 1.3197153676E+03 +489.000000 6.5806968996E-04 1.3168889662E+03 +488.000000 6.5615420305E-04 1.3140620778E+03 +487.000000 6.5424867928E-04 1.3112347013E+03 +486.000000 6.5235303895E-04 1.3084068339E+03 +485.000000 6.5046720319E-04 1.3055784722E+03 +484.000000 6.4859109425E-04 1.3027496135E+03 +483.000000 6.4672463456E-04 1.2999202553E+03 +482.000000 6.4486774834E-04 1.2970903948E+03 +481.000000 6.4302035926E-04 1.2942600292E+03 +480.000000 6.4118239344E-04 1.2914291555E+03 +479.000000 6.3935377573E-04 1.2885977710E+03 +478.000000 6.3753443416E-04 1.2857658729E+03 +477.000000 6.3572429472E-04 1.2829334583E+03 +476.000000 6.3392328728E-04 1.2801005244E+03 +475.000000 6.3213133894E-04 1.2772670681E+03 +474.000000 6.3034838139E-04 1.2744330868E+03 +473.000000 6.2857434280E-04 1.2715985773E+03 +472.000000 6.2680915640E-04 1.2687635367E+03 +471.000000 6.2505275206E-04 1.2659279622E+03 +470.000000 6.2330506386E-04 1.2630918508E+03 +469.000000 6.2156602358E-04 1.2602551994E+03 +468.000000 6.1983556606E-04 1.2574180051E+03 +467.000000 6.1811362500E-04 1.2545802648E+03 +466.000000 6.1640013597E-04 1.2517419755E+03 +465.000000 6.1469503453E-04 1.2489031342E+03 +464.000000 6.1299825695E-04 1.2460637378E+03 +463.000000 6.1130974063E-04 1.2432237831E+03 +462.000000 6.0962942249E-04 1.2403832672E+03 +461.000000 6.0795724176E-04 1.2375421869E+03 +460.000000 6.0629313599E-04 1.2347005390E+03 +459.000000 6.0463704606E-04 1.2318583205E+03 +458.000000 6.0298891043E-04 1.2290155281E+03 +457.000000 6.0134867117E-04 1.2261721586E+03 +456.000000 5.9971626829E-04 1.2233282090E+03 +455.000000 5.9809164436E-04 1.2204836758E+03 +454.000000 5.9647474120E-04 1.2176385560E+03 +453.000000 5.9486550178E-04 1.2147928463E+03 +452.000000 5.9326386971E-04 1.2119465434E+03 +451.000000 5.9166978840E-04 1.2090996440E+03 +450.000000 5.9008320315E-04 1.2062521448E+03 +449.000000 5.8850405782E-04 1.2034040426E+03 +448.000000 5.8693229916E-04 1.2005553339E+03 +447.000000 5.8536787208E-04 1.1977060155E+03 +446.000000 5.8381072401E-04 1.1948560840E+03 +445.000000 5.8226080143E-04 1.1920055359E+03 +444.000000 5.8071805207E-04 1.1891543680E+03 +443.000000 5.7918242412E-04 1.1863025767E+03 +442.000000 5.7765386558E-04 1.1834501587E+03 +441.000000 5.7613232625E-04 1.1805971105E+03 +440.000000 5.7461775447E-04 1.1777434286E+03 +439.000000 5.7311010126E-04 1.1748891096E+03 +438.000000 5.7160931625E-04 1.1720341499E+03 +437.000000 5.7011535069E-04 1.1691785461E+03 +436.000000 5.6862815581E-04 1.1663222947E+03 +435.000000 5.6714768304E-04 1.1634653919E+03 +434.000000 5.6567388519E-04 1.1606078345E+03 +433.000000 5.6420671391E-04 1.1577496186E+03 +432.000000 5.6274612321E-04 1.1548907407E+03 +431.000000 5.6129206589E-04 1.1520311973E+03 +430.000000 5.5984449613E-04 1.1491709847E+03 +429.000000 5.5840336829E-04 1.1463100992E+03 +428.000000 5.5696863666E-04 1.1434485372E+03 +427.000000 5.5554025700E-04 1.1405862950E+03 +426.000000 5.5411818404E-04 1.1377233690E+03 +425.000000 5.5270237435E-04 1.1348597553E+03 +424.000000 5.5129278390E-04 1.1319954503E+03 +423.000000 5.4988936934E-04 1.1291304502E+03 +422.000000 5.4849208812E-04 1.1262647513E+03 +421.000000 5.4710089695E-04 1.1233983498E+03 +420.000000 5.4571575439E-04 1.1205312420E+03 +419.000000 5.4433661817E-04 1.1176634239E+03 +418.000000 5.4296344696E-04 1.1147948918E+03 +417.000000 5.4159619990E-04 1.1119256418E+03 +416.000000 5.4023483567E-04 1.1090556702E+03 +415.000000 5.3887931454E-04 1.1061849730E+03 +414.000000 5.3752959603E-04 1.1033135463E+03 +413.000000 5.3618564059E-04 1.1004413862E+03 +412.000000 5.3484740909E-04 1.0975684889E+03 +411.000000 5.3351486197E-04 1.0946948504E+03 +410.000000 5.3218796113E-04 1.0918204667E+03 +409.000000 5.3086666786E-04 1.0889453340E+03 +408.000000 5.2955094421E-04 1.0860694481E+03 +407.000000 5.2824075272E-04 1.0831928052E+03 +406.000000 5.2693605545E-04 1.0803154013E+03 +405.000000 5.2563681586E-04 1.0774372322E+03 +404.000000 5.2434299700E-04 1.0745582941E+03 +403.000000 5.2305456226E-04 1.0716785828E+03 +402.000000 5.2177147584E-04 1.0687980943E+03 +401.000000 5.2049370148E-04 1.0659168246E+03 +400.000000 5.1922120389E-04 1.0630347695E+03 +399.000000 5.1795394788E-04 1.0601519249E+03 +398.000000 5.1669189808E-04 1.0572682867E+03 +397.000000 5.1543502027E-04 1.0543838509E+03 +396.000000 5.1418327982E-04 1.0514986133E+03 +395.000000 5.1293664255E-04 1.0486125696E+03 +394.000000 5.1169507490E-04 1.0457257159E+03 +393.000000 5.1045854298E-04 1.0428380478E+03 +392.000000 5.0922701367E-04 1.0399495613E+03 +391.000000 5.0800045409E-04 1.0370602521E+03 +390.000000 5.0677883107E-04 1.0341701160E+03 +389.000000 5.0556211250E-04 1.0312791488E+03 +388.000000 5.0435026609E-04 1.0283873463E+03 +387.000000 5.0314325961E-04 1.0254947042E+03 +386.000000 5.0194106166E-04 1.0226012184E+03 +385.000000 5.0074364063E-04 1.0197068845E+03 +384.000000 4.9955096519E-04 1.0168116982E+03 +383.000000 4.9836300462E-04 1.0139156553E+03 +382.000000 4.9717972799E-04 1.0110187516E+03 +381.000000 4.9600110482E-04 1.0081209827E+03 +380.000000 4.9482710503E-04 1.0052223443E+03 +379.000000 4.9365769839E-04 1.0023228321E+03 +378.000000 4.9249285521E-04 9.9942244186E+02 +377.000000 4.9133254605E-04 9.9652116919E+02 +376.000000 4.9017674137E-04 9.9361900975E+02 +375.000000 4.8902541220E-04 9.9071595925E+02 +374.000000 4.8787852974E-04 9.8781201333E+02 +373.000000 4.8673606514E-04 9.8490716763E+02 +372.000000 4.8559799009E-04 9.8200141783E+02 +371.000000 4.8446427644E-04 9.7909475956E+02 +370.000000 4.8333489600E-04 9.7618718847E+02 +369.000000 4.8220982107E-04 9.7327870018E+02 +368.000000 4.8108902416E-04 9.7036929036E+02 +367.000000 4.7997247773E-04 9.6745895461E+02 +366.000000 4.7886015465E-04 9.6454768857E+02 +365.000000 4.7775202807E-04 9.6163548788E+02 +364.000000 4.7664807108E-04 9.5872234816E+02 +363.000000 4.7554825709E-04 9.5580826504E+02 +362.000000 4.7445255987E-04 9.5289323416E+02 +361.000000 4.7336095316E-04 9.4997725114E+02 +360.000000 4.7227341086E-04 9.4706031160E+02 +359.000000 4.7118990734E-04 9.4414241120E+02 +358.000000 4.7011041698E-04 9.4122354557E+02 +357.000000 4.6903491413E-04 9.3830371032E+02 +356.000000 4.6796337377E-04 9.3538290113E+02 +355.000000 4.6689577082E-04 9.3246111364E+02 +354.000000 4.6583208026E-04 9.2953834349E+02 +353.000000 4.6477227746E-04 9.2661458635E+02 +352.000000 4.6371633794E-04 9.2368983790E+02 +351.000000 4.6266423729E-04 9.2076409380E+02 +350.000000 4.6161595125E-04 9.1783734973E+02 +349.000000 4.6057145593E-04 9.1490960139E+02 +348.000000 4.5953072747E-04 9.1198084449E+02 +347.000000 4.5849374205E-04 9.0905107473E+02 +346.000000 4.5746047626E-04 9.0612028784E+02 +345.000000 4.5643090677E-04 9.0318847957E+02 +344.000000 4.5540501035E-04 9.0025564566E+02 +343.000000 4.5438276387E-04 8.9732178187E+02 +342.000000 4.5336414458E-04 8.9438688400E+02 +341.000000 4.5234912976E-04 8.9145094785E+02 +340.000000 4.5133769676E-04 8.8851396922E+02 +339.000000 4.5032982317E-04 8.8557594394E+02 +338.000000 4.4932548679E-04 8.8263686789E+02 +337.000000 4.4832466550E-04 8.7969673692E+02 +336.000000 4.4732733724E-04 8.7675554694E+02 +335.000000 4.4633348024E-04 8.7381329386E+02 +334.000000 4.4534307286E-04 8.7086997363E+02 +333.000000 4.4435609355E-04 8.6792558222E+02 +332.000000 4.4337252085E-04 8.6498011562E+02 +331.000000 4.4239233355E-04 8.6203356984E+02 +330.000000 4.4141551057E-04 8.5908594096E+02 +329.000000 4.4044203092E-04 8.5613722503E+02 +328.000000 4.3947187366E-04 8.5318741818E+02 +327.000000 4.3850501814E-04 8.5023651655E+02 +326.000000 4.3754144381E-04 8.4728451631E+02 +325.000000 4.3658113019E-04 8.4433141370E+02 +324.000000 4.3562405692E-04 8.4137720494E+02 +323.000000 4.3467020380E-04 8.3842188634E+02 +322.000000 4.3371955082E-04 8.3546545422E+02 +321.000000 4.3277207801E-04 8.3250790496E+02 +320.000000 4.3182776553E-04 8.2954923496E+02 +319.000000 4.3088659363E-04 8.2658944068E+02 +318.000000 4.2994854279E-04 8.2362851864E+02 +317.000000 4.2901359355E-04 8.2066646538E+02 +316.000000 4.2808172654E-04 8.1770327751E+02 +315.000000 4.2715292250E-04 8.1473895168E+02 +314.000000 4.2622716232E-04 8.1177348458E+02 +313.000000 4.2530442702E-04 8.0880687300E+02 +312.000000 4.2438469772E-04 8.0583911374E+02 +311.000000 4.2346795561E-04 8.0287020368E+02 +310.000000 4.2255418201E-04 7.9990013976E+02 +309.000000 4.2164335834E-04 7.9692891897E+02 +308.000000 4.2073546618E-04 7.9395653839E+02 +307.000000 4.1983048717E-04 7.9098299515E+02 +306.000000 4.1892840306E-04 7.8800828645E+02 +305.000000 4.1802919569E-04 7.8503240955E+02 +304.000000 4.1713284698E-04 7.8205536181E+02 +303.000000 4.1623933903E-04 7.7907714063E+02 +302.000000 4.1534865400E-04 7.7609774353E+02 +301.000000 4.1446077412E-04 7.7311716808E+02 +300.000000 4.1357568174E-04 7.7013541194E+02 +299.000000 4.1269335927E-04 7.6715247286E+02 +298.000000 4.1181378927E-04 7.6416834866E+02 +297.000000 4.1093695438E-04 7.6118303728E+02 +296.000000 4.1006283731E-04 7.5819653673E+02 +295.000000 4.0919142088E-04 7.5520884512E+02 +294.000000 4.0832268798E-04 7.5221996066E+02 +293.000000 4.0745662159E-04 7.4922988166E+02 +292.000000 4.0659320476E-04 7.4623860654E+02 +291.000000 4.0573242069E-04 7.4324613381E+02 +290.000000 4.0487425262E-04 7.4025246211E+02 +289.000000 4.0401868386E-04 7.3725759017E+02 +288.000000 4.0316569783E-04 7.3426151687E+02 +287.000000 4.0231527802E-04 7.3126424117E+02 +286.000000 4.0146740799E-04 7.2826576217E+02 +285.000000 4.0062207138E-04 7.2526607909E+02 +284.000000 3.9977925193E-04 7.2226519130E+02 +283.000000 3.9893893344E-04 7.1926309827E+02 +282.000000 3.9810109979E-04 7.1625979962E+02 +281.000000 3.9726573493E-04 7.1325529511E+02 +280.000000 3.9643282287E-04 7.1024958465E+02 +279.000000 3.9560234771E-04 7.0724266828E+02 +278.000000 3.9477429362E-04 7.0423454620E+02 +277.000000 3.9394864480E-04 7.0122521875E+02 +276.000000 3.9312538558E-04 6.9821468645E+02 +275.000000 3.9230450031E-04 6.9520294996E+02 +274.000000 3.9148597344E-04 6.9219001013E+02 +273.000000 3.9066978946E-04 6.8917586795E+02 +272.000000 3.8985593294E-04 6.8616052461E+02 +271.000000 3.8904438849E-04 6.8314398146E+02 +270.000000 3.8823514081E-04 6.8012624004E+02 +269.000000 3.8742817463E-04 6.7710730208E+02 +268.000000 3.8662347478E-04 6.7408716950E+02 +267.000000 3.8582102610E-04 6.7106584442E+02 +266.000000 3.8502081352E-04 6.6804332913E+02 +265.000000 3.8422282202E-04 6.6501962618E+02 +264.000000 3.8342703662E-04 6.6199473828E+02 +263.000000 3.8263344241E-04 6.5896866839E+02 +262.000000 3.8184202454E-04 6.5594141968E+02 +261.000000 3.8105276819E-04 6.5291299553E+02 +260.000000 3.8026565860E-04 6.4988339958E+02 +259.000000 3.7948068107E-04 6.4685263568E+02 +258.000000 3.7869782092E-04 6.4382070793E+02 +257.000000 3.7791706354E-04 6.4078762070E+02 +256.000000 3.7713839437E-04 6.3775337858E+02 +255.000000 3.7636179887E-04 6.3471798643E+02 +254.000000 3.7558726257E-04 6.3168144939E+02 +253.000000 3.7481477103E-04 6.2864377285E+02 +252.000000 3.7404430985E-04 6.2560496248E+02 +251.000000 3.7327586468E-04 6.2256502425E+02 +250.000000 3.7250942120E-04 6.1952396441E+02 +249.000000 3.7174496514E-04 6.1648178950E+02 +248.000000 3.7098248224E-04 6.1343850636E+02 +247.000000 3.7022195830E-04 6.1039412216E+02 +246.000000 3.6946337914E-04 6.0734864436E+02 +245.000000 3.6870673063E-04 6.0430208077E+02 +244.000000 3.6795199867E-04 6.0125443950E+02 +243.000000 3.6719916916E-04 5.9820572902E+02 +242.000000 3.6644822807E-04 5.9515595814E+02 +241.000000 3.6569916138E-04 5.9210513603E+02 +240.000000 3.6495195510E-04 5.8905327218E+02 +239.000000 3.6420659527E-04 5.8600037651E+02 +238.000000 3.6346306796E-04 5.8294645926E+02 +237.000000 3.6272135924E-04 5.7989153108E+02 +236.000000 3.6198145524E-04 5.7683560301E+02 +235.000000 3.6124334208E-04 5.7377868649E+02 +234.000000 3.6050700591E-04 5.7072079335E+02 +233.000000 3.5977243291E-04 5.6766193586E+02 +232.000000 3.5903960925E-04 5.6460212671E+02 +231.000000 3.5830852115E-04 5.6154137901E+02 +230.000000 3.5757915482E-04 5.5847970633E+02 +229.000000 3.5685149650E-04 5.5541712268E+02 +228.000000 3.5612553244E-04 5.5235364254E+02 +227.000000 3.5540124890E-04 5.4928928086E+02 +226.000000 3.5467863216E-04 5.4622405307E+02 +225.000000 3.5395766849E-04 5.4315797508E+02 +224.000000 3.5323834418E-04 5.4009106331E+02 +223.000000 3.5252064551E-04 5.3702333470E+02 +222.000000 3.5180455879E-04 5.3395480670E+02 +221.000000 3.5109007030E-04 5.3088549728E+02 +220.000000 3.5037716635E-04 5.2781542497E+02 +219.000000 3.4966583323E-04 5.2474460886E+02 +218.000000 3.4895605726E-04 5.2167306857E+02 +217.000000 3.4824782470E-04 5.1860082433E+02 +216.000000 3.4754112187E-04 5.1552789693E+02 +215.000000 3.4683593505E-04 5.1245430778E+02 +214.000000 3.4613225050E-04 5.0938007888E+02 +213.000000 3.4543005453E-04 5.0630523286E+02 +212.000000 3.4472933338E-04 5.0322979300E+02 +211.000000 3.4403007332E-04 5.0015378319E+02 +210.000000 3.4333226058E-04 4.9707722801E+02 +209.000000 3.4263588140E-04 4.9400015269E+02 +208.000000 3.4194092197E-04 4.9092258315E+02 +207.000000 3.4124736852E-04 4.8784454602E+02 +206.000000 3.4055520722E-04 4.8476606863E+02 +205.000000 3.3986442423E-04 4.8168717903E+02 +204.000000 3.3917500567E-04 4.7860790600E+02 +203.000000 3.3848693764E-04 4.7552827909E+02 +202.000000 3.3780020622E-04 4.7244832861E+02 +201.000000 3.3711479746E-04 4.6936808564E+02 +200.000000 3.3643069739E-04 4.6628758207E+02 +199.000000 3.3574789196E-04 4.6320685058E+02 +198.000000 3.3506636716E-04 4.6012592468E+02 +197.000000 3.3438610888E-04 4.5704483873E+02 +196.000000 3.3370710302E-04 4.5396362793E+02 +195.000000 3.3302933541E-04 4.5088232837E+02 +194.000000 3.3235279186E-04 4.4780097699E+02 +193.000000 3.3167745813E-04 4.4471961167E+02 +192.000000 3.3100331992E-04 4.4163827119E+02 +191.000000 3.3033036290E-04 4.3855699526E+02 +190.000000 3.2965857270E-04 4.3547582456E+02 +189.000000 3.2898793488E-04 4.3239480072E+02 +188.000000 3.2831843494E-04 4.2931396636E+02 +187.000000 3.2765005834E-04 4.2623336512E+02 +186.000000 3.2698279047E-04 4.2315304163E+02 +185.000000 3.2631661666E-04 4.2007304158E+02 +184.000000 3.2565152218E-04 4.1699341172E+02 +183.000000 3.2498749224E-04 4.1391419986E+02 +182.000000 3.2432451196E-04 4.1083545492E+02 +181.000000 3.2366256641E-04 4.0775722693E+02 +180.000000 3.2300164055E-04 4.0467956703E+02 +179.000000 3.2234171931E-04 4.0160252755E+02 +178.000000 3.2168278750E-04 3.9852616196E+02 +177.000000 3.2102482987E-04 3.9545052494E+02 +176.000000 3.2036783110E-04 3.9237567236E+02 +175.000000 3.1971177578E-04 3.8930166135E+02 +174.000000 3.1905664840E-04 3.8622855028E+02 +173.000000 3.1840243334E-04 3.8315639877E+02 +172.000000 3.1774911492E-04 3.8008526778E+02 +171.000000 3.1709667731E-04 3.7701521954E+02 +170.000000 3.1644510462E-04 3.7394631766E+02 +169.000000 3.1579438081E-04 3.7087862708E+02 +168.000000 3.1514448977E-04 3.6781221413E+02 +167.000000 3.1449541524E-04 3.6474714655E+02 +166.000000 3.1384714087E-04 3.6168349349E+02 +165.000000 3.1319965017E-04 3.5862132556E+02 +164.000000 3.1255292654E-04 3.5556071486E+02 +163.000000 3.1190695330E-04 3.5250173496E+02 +162.000000 3.1126171355E-04 3.4944446095E+02 +161.000000 3.1061719029E-04 3.4638896948E+02 +160.000000 3.0997336638E-04 3.4333533877E+02 +159.000000 3.0933022452E-04 3.4028364860E+02 +158.000000 3.0868774727E-04 3.3723398041E+02 +157.000000 3.0804591703E-04 3.3418641725E+02 +156.000000 3.0740471604E-04 3.3114104384E+02 +155.000000 3.0676412638E-04 3.2809794661E+02 +154.000000 3.0612412998E-04 3.2505721370E+02 +153.000000 3.0548470857E-04 3.2201893497E+02 +152.000000 3.0484584377E-04 3.1898320208E+02 +151.000000 3.0420751692E-04 3.1595010847E+02 +150.000000 3.0356970921E-04 3.1291974940E+02 +149.000000 3.0293240161E-04 3.0989222200E+02 +148.000000 3.0229557490E-04 3.0686762523E+02 +147.000000 3.0165920965E-04 3.0384606000E+02 +146.000000 3.0102328622E-04 3.0082762912E+02 +145.000000 3.0038778476E-04 2.9781243737E+02 +144.000000 2.9975268516E-04 2.9480059150E+02 +143.000000 2.9911796717E-04 2.9179220029E+02 +142.000000 2.9848361026E-04 2.8878737454E+02 +141.000000 2.9784959362E-04 2.8578622714E+02 +140.000000 2.9721589621E-04 2.8278887306E+02 +139.000000 2.9658249668E-04 2.7979542940E+02 +138.000000 2.9594937344E-04 2.7680601541E+02 +137.000000 2.9531650462E-04 2.7382075252E+02 +136.000000 2.9468386805E-04 2.7083976439E+02 +135.000000 2.9405144128E-04 2.6786317688E+02 +134.000000 2.9341920159E-04 2.6489111817E+02 +133.000000 2.9278712594E-04 2.6192371869E+02 +132.000000 2.9215519090E-04 2.5896111122E+02 +131.000000 2.9152337275E-04 2.5600343090E+02 +130.000000 2.9089164740E-04 2.5305081525E+02 +129.000000 2.9025999040E-04 2.5010340419E+02 +128.000000 2.8962837695E-04 2.4716134011E+02 +127.000000 2.8899678187E-04 2.4422476785E+02 +126.000000 2.8836517965E-04 2.4129383477E+02 +125.000000 2.8773354435E-04 2.3836869077E+02 +124.000000 2.8710184959E-04 2.3544948827E+02 +123.000000 2.8647006855E-04 2.3253638234E+02 +122.000000 2.8583817398E-04 2.2962953063E+02 +121.000000 2.8520613816E-04 2.2672909344E+02 +120.000000 2.8457393292E-04 2.2383523378E+02 +119.000000 2.8394152958E-04 2.2094811734E+02 +118.000000 2.8330889909E-04 2.1806791256E+02 +117.000000 2.8267601176E-04 2.1519479065E+02 +116.000000 2.8204283738E-04 2.1232892560E+02 +115.000000 2.8140934518E-04 2.0947049423E+02 +114.000000 2.8077550384E-04 2.0661967623E+02 +113.000000 2.8014128140E-04 2.0377665414E+02 +112.000000 2.7950664534E-04 2.0094161343E+02 +111.000000 2.7887156257E-04 1.9811474250E+02 +110.000000 2.7823599928E-04 1.9529623271E+02 +109.000000 2.7759992098E-04 1.9248627840E+02 +108.000000 2.7696329249E-04 1.8968507695E+02 +107.000000 2.7632607789E-04 1.8689282877E+02 +106.000000 2.7568824053E-04 1.8410973734E+02 +105.000000 2.7504974303E-04 1.8133600921E+02 +104.000000 2.7441054725E-04 1.7857185410E+02 +103.000000 2.7377061413E-04 1.7581748482E+02 +102.000000 2.7312990373E-04 1.7307311738E+02 +101.000000 2.7248837521E-04 1.7033897097E+02 +100.000000 2.7184598682E-04 1.6761526798E+02 +99.000000 2.7120269587E-04 1.6490223407E+02 +98.000000 2.7055845881E-04 1.6220009812E+02 +97.000000 2.6991323089E-04 1.5950909229E+02 +96.000000 2.6926696630E-04 1.5682945206E+02 +95.000000 2.6861961810E-04 1.5416141620E+02 +94.000000 2.6797113819E-04 1.5150522683E+02 +93.000000 2.6732147739E-04 1.4886112942E+02 +92.000000 2.6667058529E-04 1.4622937279E+02 +91.000000 2.6601841009E-04 1.4361020917E+02 +90.000000 2.6536489855E-04 1.4100389415E+02 +89.000000 2.6470999607E-04 1.3841068676E+02 +88.000000 2.6405364654E-04 1.3583084945E+02 +87.000000 2.6339579257E-04 1.3326464809E+02 +86.000000 2.6273637503E-04 1.3071235199E+02 +85.000000 2.6207533306E-04 1.2817423393E+02 +84.000000 2.6141260404E-04 1.2565057012E+02 +83.000000 2.6074812357E-04 1.2314164026E+02 +82.000000 2.6008182555E-04 1.2064772751E+02 +81.000000 2.5941364185E-04 1.1816911847E+02 +80.000000 2.5874350211E-04 1.1570610325E+02 +79.000000 2.5807133382E-04 1.1325897542E+02 +78.000000 2.5739706218E-04 1.1082803199E+02 +77.000000 2.5672061037E-04 1.0841357345E+02 +76.000000 2.5604189891E-04 1.0601590376E+02 +75.000000 2.5536084561E-04 1.0363533031E+02 +74.000000 2.5467736551E-04 1.0127216392E+02 +73.000000 2.5399137085E-04 9.8926718837E+01 +72.000000 2.5330277129E-04 9.6599312728E+01 +71.000000 2.5261147299E-04 9.4290266640E+01 +70.000000 2.5191737867E-04 9.1999904994E+01 +69.000000 2.5122038757E-04 8.9728555559E+01 +68.000000 2.5052039550E-04 8.7476549428E+01 +67.000000 2.4981729466E-04 8.5244220992E+01 +66.000000 2.4911097271E-04 8.3031907902E+01 +65.000000 2.4840131295E-04 8.0839951049E+01 +64.000000 2.4768819421E-04 7.8668694515E+01 +63.000000 2.4697149119E-04 7.6518485538E+01 +62.000000 2.4625107294E-04 7.4389674470E+01 +61.000000 2.4552680298E-04 7.2282614731E+01 +60.000000 2.4479853920E-04 7.0197662755E+01 +59.000000 2.4406613426E-04 6.8135177944E+01 +58.000000 2.4332943395E-04 6.6095522602E+01 +57.000000 2.4258827681E-04 6.4079061883E+01 +56.000000 2.4184249416E-04 6.2086163717E+01 +55.000000 2.4109191061E-04 6.0117198743E+01 +54.000000 2.4033634234E-04 5.8172540244E+01 +53.000000 2.3957559597E-04 5.6252564051E+01 +52.000000 2.3880946875E-04 5.4357648480E+01 +51.000000 2.3803774931E-04 5.2488174231E+01 +50.000000 2.3726021499E-04 5.0644524293E+01 +49.000000 2.3647663067E-04 4.8827083860E+01 +48.000000 2.3568674900E-04 4.7036240213E+01 +47.000000 2.3489031155E-04 4.5272382618E+01 +46.000000 2.3408704402E-04 4.3535902209E+01 +45.000000 2.3327665574E-04 4.1827191868E+01 +44.000000 2.3245884007E-04 4.0146646099E+01 +43.000000 2.3163327496E-04 3.8494660886E+01 +42.000000 2.3079961574E-04 3.6871633564E+01 +41.000000 2.2995749585E-04 3.5277962665E+01 +40.000000 2.2910652838E-04 3.3714047762E+01 +39.000000 2.2824630200E-04 3.2180289309E+01 +38.000000 2.2737637391E-04 3.0677088473E+01 +37.000000 2.2649627185E-04 2.9204846944E+01 +36.000000 2.2560549640E-04 2.7763966767E+01 +35.000000 2.2470350605E-04 2.6354850125E+01 +34.000000 2.2378971686E-04 2.4977899150E+01 +33.000000 2.2286350678E-04 2.3633515695E+01 +32.000000 2.2192420521E-04 2.2322101120E+01 +31.000000 2.2097107771E-04 2.1044056049E+01 +30.000000 2.2000333168E-04 1.9799780121E+01 +29.000000 2.1902011727E-04 1.8589671736E+01 +28.000000 2.1802049114E-04 1.7414127783E+01 +27.000000 2.1700342059E-04 1.6273543349E+01 +26.000000 2.1596779550E-04 1.5168311431E+01 +25.000000 2.1491237298E-04 1.4098822615E+01 +24.000000 2.1383576738E-04 1.3065464751E+01 +23.000000 2.1273647554E-04 1.2068622608E+01 +22.000000 2.1161280491E-04 1.1108677513E+01 +21.000000 2.1046282381E-04 1.0186006968E+01 +20.000000 2.0928440183E-04 9.3009842485E+00 +19.000000 2.0807512912E-04 8.4539779866E+00 +18.000000 2.0683216615E-04 7.6453517172E+00 +17.000000 2.0555231435E-04 6.8754634089E+00 +16.000000 2.0422977132E-04 6.1446649698E+00 +15.000000 2.0313137454E-04 5.4533083365E+00 +14.000000 2.0199162765E-04 4.8017350055E+00 +13.000000 2.0080869883E-04 4.1902709902E+00 +12.000000 1.9957727175E-04 3.6192345308E+00 +11.000000 1.9829091713E-04 3.0889354034E+00 +10.000000 1.9694174621E-04 2.5996741712E+00 +9.000000 1.9551991505E-04 2.1517413690E+00 +8.000000 1.9401289552E-04 1.7454166049E+00 +7.000000 1.9240436710E-04 1.3809675653E+00 +6.000000 1.9067246795E-04 1.0586488941E+00 +5.000000 1.8878691578E-04 7.7870092055E-01 +4.000000 1.8670405502E-04 5.4134817878E-01 +3.000000 1.8435806512E-04 3.4679765161E-01 +2.000000 1.8164623001E-04 1.9523661892E-01 +1.000000 1.7842210454E-04 8.6829946481E-02 diff --git a/external/HyRec2020/readme.pdf b/external/HyRec2020/readme.pdf new file mode 100644 index 00000000..cbdda3c9 Binary files /dev/null and b/external/HyRec2020/readme.pdf differ diff --git a/hyrec/two_photon_tables.dat b/external/HyRec2020/two_photon_tables.dat similarity index 100% rename from hyrec/two_photon_tables.dat rename to external/HyRec2020/two_photon_tables.dat diff --git a/external/HyRec2020/two_photon_tables_hires.dat b/external/HyRec2020/two_photon_tables_hires.dat new file mode 100644 index 00000000..61b4a6ff --- /dev/null +++ b/external/HyRec2020/two_photon_tables_hires.dat @@ -0,0 +1,1493 @@ +5.186333E+00 8.022087E-01 3.410708E-01 0.000000E+00 0.000000E+00 +5.339172E+00 7.691348E-01 3.071278E-01 0.000000E+00 0.000000E+00 +5.480834E+00 7.578790E-01 2.848476E-01 0.000000E+00 0.000000E+00 +5.612692E+00 7.479352E-01 2.651160E-01 0.000000E+00 0.000000E+00 +5.735887E+00 7.391268E-01 2.475405E-01 0.000000E+00 0.000000E+00 +5.851381E+00 7.313088E-01 2.318031E-01 0.000000E+00 0.000000E+00 +5.959987E+00 7.243609E-01 2.176434E-01 0.000000E+00 0.000000E+00 +6.062400E+00 7.181826E-01 2.048467E-01 8.513635E-01 0.000000E+00 +6.159218E+00 7.126888E-01 1.932345E-01 8.066713E-01 0.000000E+00 +6.250959E+00 7.078076E-01 1.826574E-01 7.671387E-01 0.000000E+00 +6.338076E+00 7.034772E-01 1.729895E-01 7.319444E-01 0.000000E+00 +6.420964E+00 6.996444E-01 1.641239E-01 7.004315E-01 3.731187E-01 +6.499973E+00 6.962632E-01 1.559695E-01 6.720681E-01 3.564029E-01 +6.575410E+00 6.932937E-01 1.484483E-01 6.464197E-01 3.413463E-01 +6.647551E+00 6.907008E-01 1.414927E-01 6.231273E-01 3.277200E-01 +6.716640E+00 6.884537E-01 1.350445E-01 6.018926E-01 3.153351E-01 +6.782897E+00 6.865254E-01 1.290528E-01 5.824651E-01 3.040341E-01 +6.846519E+00 6.848918E-01 1.234732E-01 5.646331E-01 2.936850E-01 +6.907685E+00 6.835316E-01 1.182669E-01 5.482169E-01 2.841765E-01 +6.966556E+00 6.824258E-01 1.133994E-01 5.330623E-01 2.754135E-01 +7.023279E+00 6.815572E-01 1.088404E-01 5.190370E-01 2.673150E-01 +7.077987E+00 6.809107E-01 1.045631E-01 5.060263E-01 2.598111E-01 +7.130801E+00 6.804724E-01 1.005435E-01 4.939306E-01 2.528413E-01 +7.181833E+00 6.802301E-01 9.676030E-02 4.826629E-01 2.463531E-01 +7.231185E+00 6.801725E-01 9.319428E-02 4.721469E-01 2.403005E-01 +7.278952E+00 6.802893E-01 8.982832E-02 4.623154E-01 2.346435E-01 +7.325219E+00 6.805716E-01 8.664699E-02 4.531089E-01 2.293464E-01 +7.370067E+00 6.810107E-01 8.363635E-02 4.444748E-01 2.243780E-01 +7.413569E+00 6.815991E-01 8.078379E-02 4.363662E-01 2.197104E-01 +7.455794E+00 6.823298E-01 7.807791E-02 4.287412E-01 2.153189E-01 +7.496805E+00 6.831965E-01 7.550832E-02 4.215622E-01 2.111814E-01 +7.536663E+00 6.841932E-01 7.306559E-02 4.147955E-01 2.072781E-01 +7.575421E+00 6.853146E-01 7.074111E-02 4.084108E-01 2.035912E-01 +7.613130E+00 6.865559E-01 6.852701E-02 4.023807E-01 2.001047E-01 +7.649840E+00 6.879123E-01 6.641608E-02 3.966804E-01 1.968040E-01 +7.685595E+00 6.893799E-01 6.440172E-02 3.912873E-01 1.936762E-01 +7.720436E+00 6.909548E-01 6.247787E-02 3.861810E-01 1.907093E-01 +7.754403E+00 6.926334E-01 6.063894E-02 3.813429E-01 1.878925E-01 +7.787534E+00 6.944124E-01 5.887979E-02 3.767558E-01 1.852159E-01 +7.819863E+00 6.962890E-01 5.719566E-02 3.724043E-01 1.826707E-01 +7.851422E+00 6.982602E-01 5.558217E-02 3.682740E-01 1.802484E-01 +7.882243E+00 7.003236E-01 5.403527E-02 3.643518E-01 1.779417E-01 +7.912354E+00 7.024767E-01 5.255117E-02 3.606257E-01 1.757435E-01 +7.941784E+00 7.047173E-01 5.112640E-02 3.570845E-01 1.736474E-01 +7.970557E+00 7.070436E-01 4.975769E-02 3.537180E-01 1.716477E-01 +7.998699E+00 7.094534E-01 4.844204E-02 3.505168E-01 1.697389E-01 +8.026233E+00 7.119453E-01 4.717664E-02 3.474721E-01 1.679160E-01 +8.053181E+00 7.145175E-01 4.595885E-02 3.445757E-01 1.661743E-01 +8.079564E+00 7.171685E-01 4.478622E-02 3.418201E-01 1.645096E-01 +8.105402E+00 7.198971E-01 4.365648E-02 3.391984E-01 1.629179E-01 +8.130713E+00 7.227020E-01 4.256748E-02 3.367040E-01 1.613954E-01 +8.155515E+00 7.255820E-01 4.151722E-02 3.343308E-01 1.599387E-01 +8.179826E+00 7.285360E-01 4.050381E-02 3.320733E-01 1.585447E-01 +8.203662E+00 7.315632E-01 3.952549E-02 3.299261E-01 1.572103E-01 +8.227039E+00 7.346626E-01 3.858061E-02 3.278843E-01 1.559326E-01 +8.249970E+00 7.378334E-01 3.766762E-02 3.259434E-01 1.547092E-01 +8.272471E+00 7.410749E-01 3.678504E-02 3.240989E-01 1.535376E-01 +8.294554E+00 7.443864E-01 3.593151E-02 3.223469E-01 1.524154E-01 +8.316233E+00 7.477674E-01 3.510572E-02 3.206836E-01 1.513406E-01 +8.337520E+00 7.512172E-01 3.430644E-02 3.191054E-01 1.503111E-01 +8.358426E+00 7.547354E-01 3.353253E-02 3.176091E-01 1.493250E-01 +8.378964E+00 7.583216E-01 3.278289E-02 3.161914E-01 1.483806E-01 +8.399143E+00 7.619754E-01 3.205648E-02 3.148494E-01 1.474762E-01 +8.418974E+00 7.656965E-01 3.135234E-02 3.135804E-01 1.466101E-01 +8.438467E+00 7.694845E-01 3.066954E-02 3.123817E-01 1.457810E-01 +8.457632E+00 7.733394E-01 3.000720E-02 3.112508E-01 1.449875E-01 +8.476478E+00 7.772609E-01 2.936450E-02 3.101856E-01 1.442282E-01 +8.495013E+00 7.812488E-01 2.874065E-02 3.091836E-01 1.435018E-01 +8.513246E+00 7.853031E-01 2.813490E-02 3.082430E-01 1.428073E-01 +8.531185E+00 7.894236E-01 2.754654E-02 3.073617E-01 1.421435E-01 +8.548838E+00 7.936104E-01 2.697490E-02 3.065379E-01 1.415093E-01 +8.566212E+00 7.978634E-01 2.641934E-02 3.057699E-01 1.409038E-01 +8.583315E+00 8.021828E-01 2.587926E-02 3.050560E-01 1.403260E-01 +8.600153E+00 8.065685E-01 2.535406E-02 3.043946E-01 1.397750E-01 +8.616734E+00 8.110207E-01 2.484320E-02 3.037843E-01 1.392500E-01 +8.633063E+00 8.155395E-01 2.434616E-02 3.032236E-01 1.387502E-01 +8.649148E+00 8.201251E-01 2.386243E-02 3.027113E-01 1.382748E-01 +8.664993E+00 8.247776E-01 2.339154E-02 3.022461E-01 1.378231E-01 +8.680605E+00 8.294974E-01 2.293302E-02 3.018268E-01 1.373945E-01 +8.695990E+00 8.342846E-01 2.248644E-02 3.014523E-01 1.369882E-01 +8.711152E+00 8.391396E-01 2.205139E-02 3.011215E-01 1.366037E-01 +8.726097E+00 8.440625E-01 2.162747E-02 3.008334E-01 1.362404E-01 +8.740831E+00 8.490539E-01 2.121429E-02 3.005870E-01 1.358977E-01 +8.755358E+00 8.541139E-01 2.081150E-02 3.003815E-01 1.355750E-01 +8.769682E+00 8.592431E-01 2.041874E-02 3.002160E-01 1.352720E-01 +8.783808E+00 8.644417E-01 2.003569E-02 3.000897E-01 1.349881E-01 +8.797742E+00 8.697103E-01 1.966201E-02 3.000017E-01 1.347228E-01 +8.811486E+00 8.750493E-01 1.929742E-02 2.999515E-01 1.344758E-01 +8.825045E+00 8.804592E-01 1.894161E-02 2.999381E-01 1.342466E-01 +8.838424E+00 8.859404E-01 1.859430E-02 2.999612E-01 1.340348E-01 +8.851626E+00 8.914935E-01 1.825523E-02 3.000199E-01 1.338400E-01 +8.864654E+00 8.971190E-01 1.792412E-02 3.001137E-01 1.336620E-01 +8.877514E+00 9.028176E-01 1.760075E-02 3.002421E-01 1.335003E-01 +8.890207E+00 9.085897E-01 1.728486E-02 3.004045E-01 1.333547E-01 +8.902738E+00 9.144361E-01 1.697623E-02 3.006005E-01 1.332247E-01 +8.915109E+00 9.203572E-01 1.667464E-02 3.008296E-01 1.331103E-01 +8.927325E+00 9.263539E-01 1.637987E-02 3.010913E-01 1.330110E-01 +8.939388E+00 9.324268E-01 1.609172E-02 3.013852E-01 1.329266E-01 +8.951302E+00 9.385765E-01 1.581000E-02 3.017109E-01 1.328569E-01 +8.963068E+00 9.448038E-01 1.553451E-02 3.020681E-01 1.328016E-01 +8.974691E+00 9.511095E-01 1.526508E-02 3.024565E-01 1.327604E-01 +8.986173E+00 9.574943E-01 1.500153E-02 3.028756E-01 1.327333E-01 +8.997517E+00 9.639590E-01 1.474369E-02 3.033253E-01 1.327200E-01 +9.008725E+00 9.705044E-01 1.449140E-02 3.038052E-01 1.327202E-01 +9.019800E+00 9.771314E-01 1.424450E-02 3.043150E-01 1.327339E-01 +9.030745E+00 9.838408E-01 1.400284E-02 3.048546E-01 1.327608E-01 +9.041561E+00 9.906335E-01 1.376628E-02 3.054237E-01 1.328008E-01 +9.052252E+00 9.975103E-01 1.353467E-02 3.060220E-01 1.328537E-01 +9.062820E+00 1.004472E+00 1.330788E-02 3.066495E-01 1.329194E-01 +9.073266E+00 1.011520E+00 1.308578E-02 3.073060E-01 1.329977E-01 +9.083594E+00 1.018655E+00 1.286824E-02 3.079912E-01 1.330886E-01 +9.093805E+00 1.025879E+00 1.265514E-02 3.087051E-01 1.331918E-01 +9.103901E+00 1.033191E+00 1.244637E-02 3.094475E-01 1.333073E-01 +9.113884E+00 1.040593E+00 1.224180E-02 3.102183E-01 1.334351E-01 +9.123757E+00 1.048086E+00 1.204133E-02 3.110174E-01 1.335749E-01 +9.133521E+00 1.055672E+00 1.184485E-02 3.118448E-01 1.337267E-01 +9.143178E+00 1.063351E+00 1.165226E-02 3.127004E-01 1.338904E-01 +9.152731E+00 1.071125E+00 1.146346E-02 3.135840E-01 1.340659E-01 +9.162180E+00 1.078994E+00 1.127835E-02 3.144958E-01 1.342532E-01 +9.171527E+00 1.086960E+00 1.109684E-02 3.154356E-01 1.344522E-01 +9.180775E+00 1.095024E+00 1.091884E-02 3.164035E-01 1.346628E-01 +9.189925E+00 1.103188E+00 1.074426E-02 3.173994E-01 1.348850E-01 +9.198978E+00 1.111452E+00 1.057302E-02 3.184233E-01 1.351187E-01 +9.207937E+00 1.119818E+00 1.040503E-02 3.194754E-01 1.353640E-01 +9.216802E+00 1.128288E+00 1.024021E-02 3.205555E-01 1.356207E-01 +9.225575E+00 1.136862E+00 1.007849E-02 3.216638E-01 1.358888E-01 +9.234258E+00 1.145542E+00 9.919798E-03 3.228003E-01 1.361683E-01 +9.242852E+00 1.154329E+00 9.764053E-03 3.239650E-01 1.364592E-01 +9.251359E+00 1.163226E+00 9.611189E-03 3.251582E-01 1.367615E-01 +9.259779E+00 1.172232E+00 9.461136E-03 3.263797E-01 1.370751E-01 +9.268115E+00 1.181351E+00 9.313829E-03 3.276298E-01 1.374000E-01 +9.276368E+00 1.190583E+00 9.169205E-03 3.289086E-01 1.377363E-01 +9.284538E+00 1.199930E+00 9.027199E-03 3.302162E-01 1.380840E-01 +9.292627E+00 1.209393E+00 8.887753E-03 3.315526E-01 1.384430E-01 +9.300637E+00 1.218975E+00 8.750807E-03 3.329182E-01 1.388133E-01 +9.308568E+00 1.228677E+00 8.616304E-03 3.343129E-01 1.391951E-01 +9.316422E+00 1.238500E+00 8.484190E-03 3.357371E-01 1.395882E-01 +9.324200E+00 1.248446E+00 8.354409E-03 3.371907E-01 1.399928E-01 +9.331903E+00 1.258518E+00 8.226911E-03 3.386742E-01 1.404089E-01 +9.339532E+00 1.268717E+00 8.101644E-03 3.401876E-01 1.408365E-01 +9.347089E+00 1.279044E+00 7.978559E-03 3.417311E-01 1.412756E-01 +9.354573E+00 1.289503E+00 7.857607E-03 3.433050E-01 1.417262E-01 +9.361987E+00 1.300093E+00 7.738743E-03 3.449095E-01 1.421885E-01 +9.369332E+00 1.310819E+00 7.621920E-03 3.465448E-01 1.426625E-01 +9.376607E+00 1.321681E+00 7.507095E-03 3.482112E-01 1.431483E-01 +9.383815E+00 1.332681E+00 7.394225E-03 3.499090E-01 1.436458E-01 +9.390957E+00 1.343823E+00 7.283268E-03 3.516384E-01 1.441552E-01 +9.398032E+00 1.355107E+00 7.174183E-03 3.533997E-01 1.446765E-01 +9.405043E+00 1.366537E+00 7.066931E-03 3.551931E-01 1.452098E-01 +9.411989E+00 1.378113E+00 6.961473E-03 3.570191E-01 1.457552E-01 +9.418873E+00 1.389840E+00 6.857772E-03 3.588779E-01 1.463128E-01 +9.425694E+00 1.401718E+00 6.755791E-03 3.607698E-01 1.468826E-01 +9.432454E+00 1.413751E+00 6.655495E-03 3.626953E-01 1.474648E-01 +9.439153E+00 1.425940E+00 6.556848E-03 3.646545E-01 1.480594E-01 +9.445793E+00 1.438289E+00 6.459818E-03 3.666479E-01 1.486666E-01 +9.452373E+00 1.450799E+00 6.364371E-03 3.686759E-01 1.492863E-01 +9.458896E+00 1.463474E+00 6.270475E-03 3.707389E-01 1.499189E-01 +9.465361E+00 1.476316E+00 6.178100E-03 3.728372E-01 1.505643E-01 +9.471770E+00 1.489327E+00 6.087213E-03 3.749712E-01 1.512226E-01 +9.478122E+00 1.502511E+00 5.997787E-03 3.771414E-01 1.518941E-01 +9.484420E+00 1.515870E+00 5.909792E-03 3.793482E-01 1.525788E-01 +9.490663E+00 1.529407E+00 5.823199E-03 3.815921E-01 1.532768E-01 +9.496852E+00 1.543125E+00 5.737981E-03 3.838735E-01 1.539883E-01 +9.502988E+00 1.557027E+00 5.654112E-03 3.861929E-01 1.547135E-01 +9.509072E+00 1.571116E+00 5.571565E-03 3.885507E-01 1.554524E-01 +9.515104E+00 1.585396E+00 5.490314E-03 3.909476E-01 1.562053E-01 +9.521085E+00 1.599869E+00 5.410335E-03 3.933839E-01 1.569722E-01 +9.527015E+00 1.614538E+00 5.331603E-03 3.958602E-01 1.577534E-01 +9.532896E+00 1.629408E+00 5.254095E-03 3.983771E-01 1.585490E-01 +9.538727E+00 1.644480E+00 5.177787E-03 4.009350E-01 1.593591E-01 +9.544510E+00 1.659760E+00 5.102657E-03 4.035347E-01 1.601841E-01 +9.550245E+00 1.675250E+00 5.028682E-03 4.061766E-01 1.610239E-01 +9.555932E+00 1.690955E+00 4.955840E-03 4.088614E-01 1.618788E-01 +9.561573E+00 1.706877E+00 4.884112E-03 4.115897E-01 1.627491E-01 +9.567167E+00 1.723020E+00 4.813476E-03 4.143622E-01 1.636348E-01 +9.572716E+00 1.739389E+00 4.743912E-03 4.171793E-01 1.645363E-01 +9.578219E+00 1.755988E+00 4.675400E-03 4.200420E-01 1.654537E-01 +9.583678E+00 1.772820E+00 4.607922E-03 4.229507E-01 1.663872E-01 +9.589092E+00 1.789890E+00 4.541458E-03 4.259063E-01 1.673370E-01 +9.594463E+00 1.807202E+00 4.475990E-03 4.289095E-01 1.683034E-01 +9.599791E+00 1.824760E+00 4.411499E-03 4.319609E-01 1.692867E-01 +9.605077E+00 1.842569E+00 4.347970E-03 4.350614E-01 1.702870E-01 +9.610320E+00 1.860633E+00 4.285384E-03 4.382117E-01 1.713046E-01 +9.615521E+00 1.878957E+00 4.223724E-03 4.414127E-01 1.723397E-01 +9.620682E+00 1.897545E+00 4.162975E-03 4.446651E-01 1.733926E-01 +9.625801E+00 1.916403E+00 4.103120E-03 4.479697E-01 1.744636E-01 +9.630881E+00 1.935536E+00 4.044143E-03 4.513276E-01 1.755530E-01 +9.635920E+00 1.954948E+00 3.986030E-03 4.547394E-01 1.766610E-01 +9.640920E+00 1.974645E+00 3.928764E-03 4.582062E-01 1.777879E-01 +9.645882E+00 1.994633E+00 3.872332E-03 4.617288E-01 1.789341E-01 +9.650805E+00 2.014916E+00 3.816719E-03 4.653082E-01 1.800997E-01 +9.655690E+00 2.035500E+00 3.761911E-03 4.689455E-01 1.812852E-01 +9.660537E+00 2.056392E+00 3.707895E-03 4.726415E-01 1.824909E-01 +9.665347E+00 2.077596E+00 3.654656E-03 4.763973E-01 1.837170E-01 +9.670120E+00 2.099119E+00 3.602181E-03 4.802140E-01 1.849639E-01 +9.674857E+00 2.120967E+00 3.550458E-03 4.840926E-01 1.862321E-01 +9.679557E+00 2.143147E+00 3.499474E-03 4.880343E-01 1.875218E-01 +9.684222E+00 2.165664E+00 3.449217E-03 4.920402E-01 1.888333E-01 +9.688852E+00 2.188526E+00 3.399674E-03 4.961114E-01 1.901671E-01 +9.693447E+00 2.211739E+00 3.350834E-03 5.002492E-01 1.915236E-01 +9.698008E+00 2.235310E+00 3.302685E-03 5.044548E-01 1.929032E-01 +9.702534E+00 2.259247E+00 3.255215E-03 5.087293E-01 1.943062E-01 +9.707026E+00 2.283556E+00 3.208414E-03 5.130742E-01 1.957331E-01 +9.711485E+00 2.308245E+00 3.162271E-03 5.174907E-01 1.971843E-01 +9.715911E+00 2.333322E+00 3.116774E-03 5.219803E-01 1.986602E-01 +9.720304E+00 2.358795E+00 3.071913E-03 5.265442E-01 2.001614E-01 +9.724664E+00 2.384672E+00 3.027678E-03 5.311840E-01 2.016882E-01 +9.728993E+00 2.410960E+00 2.984060E-03 5.359010E-01 2.032412E-01 +9.733290E+00 2.437669E+00 2.941047E-03 5.406968E-01 2.048208E-01 +9.737555E+00 2.464807E+00 2.898630E-03 5.455730E-01 2.064275E-01 +9.741789E+00 2.492384E+00 2.856801E-03 5.505311E-01 2.080618E-01 +9.745992E+00 2.520408E+00 2.815549E-03 5.555728E-01 2.097244E-01 +9.750165E+00 2.548888E+00 2.774865E-03 5.606997E-01 2.114157E-01 +9.754307E+00 2.577835E+00 2.734741E-03 5.659135E-01 2.131362E-01 +9.758420E+00 2.607258E+00 2.695168E-03 5.712161E-01 2.148867E-01 +9.762502E+00 2.637168E+00 2.656136E-03 5.766092E-01 2.166675E-01 +9.766556E+00 2.667575E+00 2.617639E-03 5.820947E-01 2.184795E-01 +9.770580E+00 2.698489E+00 2.579666E-03 5.876745E-01 2.203231E-01 +9.774576E+00 2.729922E+00 2.542211E-03 5.933506E-01 2.221990E-01 +9.778543E+00 2.761885E+00 2.505265E-03 5.991249E-01 2.241079E-01 +9.782482E+00 2.794390E+00 2.468821E-03 6.049996E-01 2.260505E-01 +9.786393E+00 2.827449E+00 2.432870E-03 6.109768E-01 2.280274E-01 +9.790276E+00 2.861073E+00 2.397405E-03 6.170587E-01 2.300393E-01 +9.794131E+00 2.895276E+00 2.362420E-03 6.232475E-01 2.320871E-01 +9.797960E+00 2.930070E+00 2.327906E-03 6.295456E-01 2.341715E-01 +9.801762E+00 2.965469E+00 2.293856E-03 6.359553E-01 2.362931E-01 +9.805536E+00 3.001487E+00 2.260264E-03 6.424791E-01 2.384529E-01 +9.809285E+00 3.038137E+00 2.227123E-03 6.491195E-01 2.406517E-01 +9.813007E+00 3.075435E+00 2.194426E-03 6.558791E-01 2.428902E-01 +9.816703E+00 3.113394E+00 2.162166E-03 6.627606E-01 2.451695E-01 +9.820374E+00 3.152031E+00 2.130337E-03 6.697667E-01 2.474903E-01 +9.824019E+00 3.191361E+00 2.098932E-03 6.769002E-01 2.498536E-01 +9.827639E+00 3.231401E+00 2.067945E-03 6.841640E-01 2.522603E-01 +9.831234E+00 3.272167E+00 2.037371E-03 6.915612E-01 2.547114E-01 +9.834804E+00 3.313676E+00 2.007203E-03 6.990948E-01 2.572080E-01 +9.838349E+00 3.355946E+00 1.977435E-03 7.067680E-01 2.597511E-01 +9.841870E+00 3.398996E+00 1.948061E-03 7.145840E-01 2.623416E-01 +9.845367E+00 3.442844E+00 1.919076E-03 7.225462E-01 2.649808E-01 +9.848840E+00 3.487510E+00 1.890474E-03 7.306581E-01 2.676698E-01 +9.852289E+00 3.533013E+00 1.862249E-03 7.389233E-01 2.704096E-01 +9.855714E+00 3.579374E+00 1.834397E-03 7.473454E-01 2.732017E-01 +9.859117E+00 3.626614E+00 1.806911E-03 7.559282E-01 2.760470E-01 +9.862496E+00 3.674756E+00 1.779787E-03 7.646756E-01 2.789470E-01 +9.865852E+00 3.723821E+00 1.753019E-03 7.735917E-01 2.819030E-01 +9.869186E+00 3.773833E+00 1.726603E-03 7.826807E-01 2.849163E-01 +9.872497E+00 3.824816E+00 1.700533E-03 7.919467E-01 2.879883E-01 +9.875785E+00 3.876795E+00 1.674804E-03 8.013943E-01 2.911205E-01 +9.879052E+00 3.929795E+00 1.649413E-03 8.110280E-01 2.943144E-01 +9.882296E+00 3.983842E+00 1.624353E-03 8.208525E-01 2.975714E-01 +9.885519E+00 4.038964E+00 1.599621E-03 8.308727E-01 3.008933E-01 +9.888720E+00 4.095189E+00 1.575211E-03 8.410936E-01 3.042815E-01 +9.891900E+00 4.152545E+00 1.551120E-03 8.515203E-01 3.077379E-01 +9.895058E+00 4.211063E+00 1.527343E-03 8.621583E-01 3.112641E-01 +9.898196E+00 4.270773E+00 1.503876E-03 8.730130E-01 3.148620E-01 +9.901312E+00 4.331708E+00 1.480714E-03 8.840902E-01 3.185335E-01 +9.904408E+00 4.393900E+00 1.457853E-03 8.953958E-01 3.222804E-01 +9.907483E+00 4.457383E+00 1.435289E-03 9.069359E-01 3.261047E-01 +9.910538E+00 4.522193E+00 1.413018E-03 9.187167E-01 3.300086E-01 +9.913572E+00 4.588367E+00 1.391037E-03 9.307449E-01 3.339941E-01 +9.916587E+00 4.655941E+00 1.369341E-03 9.430271E-01 3.380635E-01 +9.919581E+00 4.724956E+00 1.347926E-03 9.555703E-01 3.422190E-01 +9.922556E+00 4.795451E+00 1.326788E-03 9.683818E-01 3.464630E-01 +9.925511E+00 4.867468E+00 1.305925E-03 9.814690E-01 3.507979E-01 +9.928447E+00 4.941050E+00 1.285331E-03 9.948397E-01 3.552262E-01 +9.931363E+00 5.016243E+00 1.265004E-03 1.008502E+00 3.597506E-01 +9.934260E+00 5.093092E+00 1.244941E-03 1.022464E+00 3.643738E-01 +9.937138E+00 5.171646E+00 1.225136E-03 1.036734E+00 3.690985E-01 +9.939998E+00 5.251954E+00 1.205588E-03 1.051322E+00 3.739277E-01 +9.942838E+00 5.334069E+00 1.186293E-03 1.066236E+00 3.788644E-01 +9.945660E+00 5.418044E+00 1.167247E-03 1.081486E+00 3.839117E-01 +9.948464E+00 5.503933E+00 1.148447E-03 1.097082E+00 3.890729E-01 +9.951249E+00 5.591796E+00 1.129890E-03 1.113034E+00 3.943512E-01 +9.954016E+00 5.681691E+00 1.111573E-03 1.129353E+00 3.997502E-01 +9.956765E+00 5.773681E+00 1.093493E-03 1.146051E+00 4.052735E-01 +9.959496E+00 5.867830E+00 1.075646E-03 1.163138E+00 4.109249E-01 +9.962210E+00 5.964205E+00 1.058030E-03 1.180626E+00 4.167081E-01 +9.964905E+00 6.062875E+00 1.040641E-03 1.198528E+00 4.226274E-01 +9.967584E+00 6.163913E+00 1.023477E-03 1.216857E+00 4.286868E-01 +9.970244E+00 6.267393E+00 1.006535E-03 1.235626E+00 4.348907E-01 +9.972888E+00 6.373394E+00 9.898121E-04 1.254849E+00 4.412437E-01 +9.975514E+00 6.481996E+00 9.733051E-04 1.274541E+00 4.477505E-01 +9.978124E+00 6.593284E+00 9.570117E-04 1.294716E+00 4.544160E-01 +9.980716E+00 6.707346E+00 9.409289E-04 1.315391E+00 4.612452E-01 +9.983292E+00 6.824274E+00 9.250543E-04 1.336581E+00 4.682436E-01 +9.985851E+00 6.944161E+00 9.093851E-04 1.358303E+00 4.754165E-01 +9.988394E+00 7.067108E+00 8.939188E-04 1.380576E+00 4.827698E-01 +9.990920E+00 7.193217E+00 8.786528E-04 1.403417E+00 4.903095E-01 +9.993430E+00 7.322596E+00 8.635847E-04 1.426846E+00 4.980418E-01 +9.995924E+00 7.455357E+00 8.487119E-04 1.450883E+00 5.059732E-01 +9.998401E+00 7.591618E+00 8.340321E-04 1.475549E+00 5.141105E-01 +1.000086E+01 7.731500E+00 8.195429E-04 1.500864E+00 5.224607E-01 +1.000331E+01 7.875130E+00 8.052418E-04 1.526853E+00 5.310314E-01 +1.000574E+01 8.022642E+00 7.911267E-04 1.553539E+00 5.398300E-01 +1.000815E+01 8.174174E+00 7.771951E-04 1.580946E+00 5.488648E-01 +1.001055E+01 8.329872E+00 7.634449E-04 1.609100E+00 5.581441E-01 +1.001293E+01 8.489887E+00 7.498738E-04 1.638029E+00 5.676768E-01 +1.001530E+01 8.654378E+00 7.364797E-04 1.667760E+00 5.774719E-01 +1.001765E+01 8.823511E+00 7.232604E-04 1.698323E+00 5.875391E-01 +1.001999E+01 8.997458E+00 7.102137E-04 1.729750E+00 5.978884E-01 +1.002231E+01 9.176403E+00 6.973377E-04 1.762072E+00 6.085303E-01 +1.002462E+01 9.360534E+00 6.846302E-04 1.795323E+00 6.194759E-01 +1.002691E+01 9.550053E+00 6.720892E-04 1.829538E+00 6.307367E-01 +1.002919E+01 9.745166E+00 6.597127E-04 1.864756E+00 6.423248E-01 +1.003146E+01 9.946095E+00 6.474988E-04 1.901014E+00 6.542528E-01 +1.003370E+01 1.015307E+01 6.354455E-04 1.938355E+00 6.665339E-01 +1.003594E+01 1.036633E+01 6.235510E-04 1.976819E+00 6.791823E-01 +1.003816E+01 1.058612E+01 6.118132E-04 2.016454E+00 6.922124E-01 +1.004036E+01 1.081273E+01 6.002304E-04 2.057306E+00 7.056396E-01 +1.004255E+01 1.104641E+01 5.888008E-04 2.099424E+00 7.194802E-01 +1.004473E+01 1.128748E+01 5.775226E-04 2.142862E+00 7.337510E-01 +1.004689E+01 1.153624E+01 5.663939E-04 2.187673E+00 7.484699E-01 +1.004904E+01 1.179301E+01 5.554130E-04 2.233917E+00 7.636558E-01 +1.005118E+01 1.205814E+01 5.445782E-04 2.281654E+00 7.793283E-01 +1.005330E+01 1.233198E+01 5.338879E-04 2.330947E+00 7.955084E-01 +1.005541E+01 1.261493E+01 5.233403E-04 2.381866E+00 8.122179E-01 +1.005750E+01 1.290738E+01 5.129338E-04 2.434481E+00 8.294802E-01 +1.005958E+01 1.320976E+01 5.026668E-04 2.488867E+00 8.473195E-01 +1.006164E+01 1.352251E+01 4.925376E-04 2.545105E+00 8.657618E-01 +1.006370E+01 1.384611E+01 4.825447E-04 2.603278E+00 8.848342E-01 +1.006574E+01 1.418106E+01 4.726866E-04 2.663475E+00 9.045656E-01 +1.006776E+01 1.452789E+01 4.629617E-04 2.725791E+00 9.249865E-01 +1.006978E+01 1.488716E+01 4.533684E-04 2.790324E+00 9.461292E-01 +1.007178E+01 1.525946E+01 4.439054E-04 2.857181E+00 9.680277E-01 +1.007376E+01 1.564543E+01 4.345711E-04 2.926472E+00 9.907184E-01 +1.007574E+01 1.604573E+01 4.253641E-04 2.998317E+00 1.014240E+00 +1.007770E+01 1.646107E+01 4.162830E-04 3.072841E+00 1.038632E+00 +1.007965E+01 1.689220E+01 4.073264E-04 3.150178E+00 1.063939E+00 +1.008158E+01 1.733993E+01 3.984928E-04 3.230469E+00 1.090207E+00 +1.008350E+01 1.780511E+01 3.897810E-04 3.313867E+00 1.117483E+00 +1.008541E+01 1.828865E+01 3.811896E-04 3.400531E+00 1.145822E+00 +1.008731E+01 1.879150E+01 3.727172E-04 3.490632E+00 1.175277E+00 +1.008919E+01 1.931470E+01 3.643626E-04 3.584354E+00 1.205909E+00 +1.009107E+01 1.985936E+01 3.561244E-04 3.681892E+00 1.237779E+00 +1.009293E+01 2.042664E+01 3.480014E-04 3.783452E+00 1.270956E+00 +1.009477E+01 2.101780E+01 3.399924E-04 3.889258E+00 1.305511E+00 +1.009661E+01 2.163418E+01 3.320962E-04 3.999547E+00 1.341522E+00 +1.009843E+01 2.227723E+01 3.243114E-04 4.114574E+00 1.379070E+00 +1.010024E+01 2.294847E+01 3.166370E-04 4.234613E+00 1.418244E+00 +1.010204E+01 2.364958E+01 3.090717E-04 4.359954E+00 1.459139E+00 +1.010382E+01 2.438232E+01 3.016144E-04 4.490915E+00 1.501856E+00 +1.010560E+01 2.514860E+01 2.942639E-04 4.627831E+00 1.546505E+00 +1.010736E+01 2.595048E+01 2.870192E-04 4.771067E+00 1.593203E+00 +1.010911E+01 2.679017E+01 2.798791E-04 4.921015E+00 1.642077E+00 +1.011085E+01 2.767006E+01 2.728425E-04 5.078096E+00 1.693264E+00 +1.011257E+01 2.859274E+01 2.659084E-04 5.242768E+00 1.746910E+00 +1.011429E+01 2.956098E+01 2.590757E-04 5.415522E+00 1.803175E+00 +1.011599E+01 3.057780E+01 2.523433E-04 5.596893E+00 1.862232E+00 +1.011768E+01 3.164647E+01 2.457103E-04 5.787458E+00 1.924267E+00 +1.011936E+01 3.277055E+01 2.391756E-04 5.987845E+00 1.989483E+00 +1.012103E+01 3.395388E+01 2.327382E-04 6.198735E+00 2.058100E+00 +1.012268E+01 3.520066E+01 2.263972E-04 6.420869E+00 2.130357E+00 +1.012433E+01 3.651547E+01 2.201516E-04 6.655054E+00 2.206515E+00 +1.012596E+01 3.790327E+01 2.140004E-04 6.902172E+00 2.286859E+00 +1.012758E+01 3.936954E+01 2.079428E-04 7.163185E+00 2.371699E+00 +1.012919E+01 4.092022E+01 2.019778E-04 7.439147E+00 2.461375E+00 +1.013079E+01 4.256187E+01 1.961045E-04 7.731212E+00 2.556260E+00 +1.013237E+01 4.430166E+01 1.903220E-04 8.040650E+00 2.656763E+00 +1.013395E+01 4.614750E+01 1.846295E-04 8.368854E+00 2.763335E+00 +1.013551E+01 4.810809E+01 1.790261E-04 8.717363E+00 2.876472E+00 +1.013706E+01 5.019305E+01 1.735111E-04 9.087874E+00 2.996721E+00 +1.013860E+01 5.241304E+01 1.680834E-04 9.482265E+00 3.124687E+00 +1.014013E+01 5.477983E+01 1.627425E-04 9.902619E+00 3.261044E+00 +1.014165E+01 5.730656E+01 1.574874E-04 1.035125E+01 3.406535E+00 +1.014316E+01 6.000781E+01 1.523174E-04 1.083073E+01 3.561993E+00 +1.014466E+01 6.289990E+01 1.472318E-04 1.134393E+01 3.728344E+00 +1.014614E+01 6.600104E+01 1.422297E-04 1.189408E+01 3.906624E+00 +1.014761E+01 6.933170E+01 1.373106E-04 1.248477E+01 4.097996E+00 +1.014908E+01 7.291490E+01 1.324736E-04 1.312008E+01 4.303767E+00 +1.015053E+01 7.677658E+01 1.277181E-04 1.380456E+01 4.525413E+00 +1.015197E+01 8.094612E+01 1.230434E-04 1.454340E+01 4.764601E+00 +1.015340E+01 8.545682E+01 1.184489E-04 1.534247E+01 5.023222E+00 +1.015481E+01 9.034662E+01 1.139338E-04 1.620845E+01 5.303429E+00 +1.015622E+01 9.565886E+01 1.094977E-04 1.714898E+01 5.607682E+00 +1.015761E+01 1.014432E+02 1.051399E-04 1.817280E+01 5.938798E+00 +1.015900E+01 1.077568E+02 1.008597E-04 1.928999E+01 6.300019E+00 +1.016037E+01 1.146657E+02 9.665676E-05 2.051217E+01 6.695092E+00 +1.016173E+01 1.222465E+02 9.253038E-05 2.185285E+01 7.128359E+00 +1.016308E+01 1.305887E+02 8.848008E-05 2.332775E+01 7.604884E+00 +1.016442E+01 1.397967E+02 8.450537E-05 2.495527E+01 8.130593E+00 +1.016575E+01 1.499936E+02 8.060577E-05 2.675711E+01 8.712463E+00 +1.016706E+01 1.613254E+02 7.678082E-05 2.875890E+01 9.358746E+00 +1.016837E+01 1.739654E+02 7.303011E-05 3.099118E+01 1.007927E+01 +1.016966E+01 1.881214E+02 6.935323E-05 3.349052E+01 1.088579E+01 +1.017094E+01 2.040441E+02 6.574982E-05 3.630100E+01 1.179249E+01 +1.017221E+01 2.220380E+02 6.221954E-05 3.947618E+01 1.281661E+01 +1.017347E+01 2.424757E+02 5.876208E-05 4.308162E+01 1.397921E+01 +1.017472E+01 2.658173E+02 5.537719E-05 4.719822E+01 1.530633E+01 +1.017595E+01 2.926362E+02 5.206463E-05 5.192679E+01 1.683037E+01 +1.017718E+01 3.236539E+02 4.882422E-05 5.739420E+01 1.859211E+01 +1.017839E+01 3.597886E+02 4.565583E-05 6.376186E+01 2.064344E+01 +1.017959E+01 4.022229E+02 4.255938E-05 7.123763E+01 2.305118E+01 +1.018077E+01 4.525007E+02 3.953486E-05 8.009284E+01 2.590252E+01 +1.018195E+01 5.126675E+02 3.658230E-05 9.068695E+01 2.931297E+01 +1.018311E+01 5.854798E+02 3.370185E-05 1.035043E+02 3.343814E+01 +1.018426E+01 6.747218E+02 3.089373E-05 1.192096E+02 3.849161E+01 +1.018540E+01 7.857019E+02 2.815825E-05 1.387354E+02 4.477293E+01 +1.018652E+01 9.260512E+02 2.549589E-05 1.634221E+02 5.271260E+01 +1.018763E+01 1.107056E+03 2.290725E-05 1.952515E+02 6.294715E+01 +1.018873E+01 1.345974E+03 2.039313E-05 2.372541E+02 7.644970E+01 +1.018981E+01 1.670259E+03 1.795456E-05 2.942500E+02 9.476793E+01 +1.019087E+01 2.125729E+03 1.559288E-05 3.742824E+02 1.204841E+02 +1.019193E+01 2.793505E+03 1.330981E-05 4.915903E+02 1.581693E+02 +1.019296E+01 3.828400E+03 1.110762E-05 6.733447E+02 2.165447E+02 +1.019398E+01 5.556435E+03 8.989355E-06 9.767575E+02 3.139724E+02 +1.019498E+01 8.763845E+03 6.959207E-06 1.539786E+03 4.947238E+02 +1.019596E+01 1.576697E+04 5.023264E-06 2.768820E+03 8.891988E+02 +1.019692E+01 3.607721E+04 3.190980E-06 6.332406E+03 2.032726E+03 +1.019785E+01 2.185221E+05 2.175570E-06 3.833890E+04 1.230160E+04 +1.019958E+01 2.155765E+05 2.148068E-06 3.778144E+04 1.211290E+04 +1.020047E+01 3.579003E+04 2.985532E-06 6.269825E+03 2.009293E+03 +1.020138E+01 1.579219E+04 4.572919E-06 2.765265E+03 8.858096E+02 +1.020229E+01 8.838009E+03 6.199201E-06 1.546838E+03 4.952929E+02 +1.020321E+01 5.633801E+03 7.859983E-06 9.855637E+02 3.154380E+02 +1.020414E+01 3.899364E+03 9.552342E-06 6.818168E+02 2.181260E+02 +1.020507E+01 2.856584E+03 1.127418E-05 4.992405E+02 1.596461E+02 +1.020601E+01 2.181460E+03 1.302391E-05 3.810637E+02 1.218017E+02 +1.020696E+01 1.719610E+03 1.480029E-05 3.002384E+02 9.592421E+01 +1.020791E+01 1.389900E+03 1.660230E-05 2.425518E+02 7.745891E+01 +1.020886E+01 1.146389E+03 1.842911E-05 1.999570E+02 6.382737E+01 +1.020982E+01 9.614857E+02 2.028001E-05 1.676214E+02 5.348133E+01 +1.021079E+01 8.178086E+02 2.215441E-05 1.425015E+02 4.544576E+01 +1.021176E+01 7.039699E+02 2.405179E-05 1.226033E+02 3.908192E+01 +1.021273E+01 6.122558E+02 2.597169E-05 1.065761E+02 3.395726E+01 +1.021370E+01 5.372916E+02 2.791373E-05 9.347926E+01 2.977047E+01 +1.021469E+01 4.752398E+02 2.987755E-05 8.264092E+01 2.630645E+01 +1.021567E+01 4.233011E+02 3.186284E-05 7.357122E+01 2.340834E+01 +1.021666E+01 3.793952E+02 3.386932E-05 6.590611E+01 2.095960E+01 +1.021765E+01 3.419499E+02 3.589676E-05 5.937050E+01 1.887215E+01 +1.021865E+01 3.097594E+02 3.794492E-05 5.375343E+01 1.707849E+01 +1.021965E+01 2.818863E+02 4.001361E-05 4.889094E+01 1.552612E+01 +1.022065E+01 2.575932E+02 4.210264E-05 4.465402E+01 1.417378E+01 +1.022166E+01 2.362934E+02 4.421185E-05 4.094008E+01 1.298862E+01 +1.022267E+01 2.175156E+02 4.634109E-05 3.766671E+01 1.194430E+01 +1.022368E+01 2.008776E+02 4.849024E-05 3.476708E+01 1.101941E+01 +1.022469E+01 1.860669E+02 5.065915E-05 3.218655E+01 1.019650E+01 +1.022571E+01 1.728261E+02 5.284774E-05 2.988010E+01 9.461158E+00 +1.022674E+01 1.609412E+02 5.505589E-05 2.781039E+01 8.801440E+00 +1.022776E+01 1.502337E+02 5.728352E-05 2.594618E+01 8.207364E+00 +1.022879E+01 1.405535E+02 5.953054E-05 2.426125E+01 7.670539E+00 +1.022983E+01 1.317735E+02 6.179688E-05 2.273339E+01 7.183871E+00 +1.023086E+01 1.237857E+02 6.408248E-05 2.134374E+01 6.741330E+00 +1.023190E+01 1.164979E+02 6.638727E-05 2.007619E+01 6.337763E+00 +1.023294E+01 1.098308E+02 6.871119E-05 1.891688E+01 5.968746E+00 +1.023399E+01 1.037160E+02 7.105421E-05 1.785389E+01 5.630465E+00 +1.023503E+01 9.809431E+01 7.341628E-05 1.687688E+01 5.319617E+00 +1.023608E+01 9.291429E+01 7.579736E-05 1.597685E+01 5.033328E+00 +1.023714E+01 8.813096E+01 7.819741E-05 1.514596E+01 4.769093E+00 +1.023819E+01 8.370493E+01 8.061642E-05 1.437733E+01 4.524716E+00 +1.023925E+01 7.960158E+01 8.305435E-05 1.366492E+01 4.298266E+00 +1.024031E+01 7.579039E+01 8.551119E-05 1.300340E+01 4.088043E+00 +1.024138E+01 7.224433E+01 8.798692E-05 1.238806E+01 3.892541E+00 +1.024245E+01 6.893945E+01 9.048152E-05 1.181472E+01 3.710425E+00 +1.024352E+01 6.585443E+01 9.299500E-05 1.127966E+01 3.540509E+00 +1.024459E+01 6.297024E+01 9.552733E-05 1.077956E+01 3.381733E+00 +1.024567E+01 6.026988E+01 9.807852E-05 1.031146E+01 3.233151E+00 +1.024674E+01 5.773810E+01 1.006486E-04 9.872697E+00 3.093914E+00 +1.024783E+01 5.536120E+01 1.032375E-04 9.460880E+00 2.963259E+00 +1.024891E+01 5.312684E+01 1.058452E-04 9.073860E+00 2.840501E+00 +1.025000E+01 5.102387E+01 1.084719E-04 8.709695E+00 2.725020E+00 +1.025109E+01 4.904224E+01 1.111174E-04 8.366631E+00 2.616257E+00 +1.025218E+01 4.717281E+01 1.137818E-04 8.043076E+00 2.513703E+00 +1.025327E+01 4.540730E+01 1.164651E-04 7.737587E+00 2.416899E+00 +1.025437E+01 4.373817E+01 1.191674E-04 7.448851E+00 2.325425E+00 +1.025547E+01 4.215855E+01 1.218885E-04 7.175671E+00 2.238901E+00 +1.025657E+01 4.066218E+01 1.246287E-04 6.916958E+00 2.156979E+00 +1.025768E+01 3.924334E+01 1.273878E-04 6.671711E+00 2.079340E+00 +1.025878E+01 3.789677E+01 1.301659E-04 6.439019E+00 2.005693E+00 +1.025989E+01 3.661766E+01 1.329631E-04 6.218044E+00 1.935772E+00 +1.026100E+01 3.540161E+01 1.357793E-04 6.008018E+00 1.869331E+00 +1.026212E+01 3.424454E+01 1.386146E-04 5.808232E+00 1.806145E+00 +1.026324E+01 3.314272E+01 1.414690E-04 5.618036E+00 1.746007E+00 +1.026436E+01 3.209270E+01 1.443425E-04 5.436829E+00 1.688726E+00 +1.026548E+01 3.109129E+01 1.472353E-04 5.264058E+00 1.634124E+00 +1.026660E+01 3.013556E+01 1.501472E-04 5.099211E+00 1.582040E+00 +1.026773E+01 2.922276E+01 1.530784E-04 4.941813E+00 1.532321E+00 +1.026886E+01 2.835039E+01 1.560289E-04 4.791425E+00 1.484828E+00 +1.026999E+01 2.751609E+01 1.589987E-04 4.647640E+00 1.439432E+00 +1.027113E+01 2.671770E+01 1.619879E-04 4.510079E+00 1.396012E+00 +1.027226E+01 2.595318E+01 1.649965E-04 4.378390E+00 1.354456E+00 +1.027340E+01 2.522066E+01 1.680246E-04 4.252248E+00 1.314660E+00 +1.027455E+01 2.451839E+01 1.710721E-04 4.131345E+00 1.276527E+00 +1.027569E+01 2.384472E+01 1.741392E-04 4.015399E+00 1.239966E+00 +1.027684E+01 2.319813E+01 1.772259E-04 3.904144E+00 1.204893E+00 +1.027799E+01 2.257720E+01 1.803322E-04 3.797333E+00 1.171229E+00 +1.027914E+01 2.198058E+01 1.834582E-04 3.694732E+00 1.138901E+00 +1.028029E+01 2.140704E+01 1.866039E-04 3.596126E+00 1.107839E+00 +1.028145E+01 2.085540E+01 1.897694E-04 3.501312E+00 1.077979E+00 +1.028261E+01 2.032457E+01 1.929547E-04 3.410098E+00 1.049260E+00 +1.028377E+01 1.981351E+01 1.961599E-04 3.322307E+00 1.021626E+00 +1.028493E+01 1.932127E+01 1.993850E-04 3.237770E+00 9.950230E-01 +1.028609E+01 1.884692E+01 2.026302E-04 3.156331E+00 9.694012E-01 +1.028726E+01 1.838963E+01 2.058954E-04 3.077840E+00 9.447134E-01 +1.028843E+01 1.794858E+01 2.091807E-04 3.002157E+00 9.209152E-01 +1.028960E+01 1.752302E+01 2.124861E-04 2.929153E+00 8.979649E-01 +1.029078E+01 1.711224E+01 2.158118E-04 2.858703E+00 8.758231E-01 +1.029196E+01 1.671555E+01 2.191577E-04 2.790690E+00 8.544528E-01 +1.029314E+01 1.633233E+01 2.225240E-04 2.725003E+00 8.338190E-01 +1.029432E+01 1.596198E+01 2.259107E-04 2.661540E+00 8.138886E-01 +1.029550E+01 1.560393E+01 2.293179E-04 2.600201E+00 7.946304E-01 +1.029669E+01 1.525764E+01 2.327456E-04 2.540894E+00 7.760149E-01 +1.029788E+01 1.492261E+01 2.361938E-04 2.483531E+00 7.580142E-01 +1.029907E+01 1.459835E+01 2.396627E-04 2.428028E+00 7.406017E-01 +1.030026E+01 1.428441E+01 2.431524E-04 2.374306E+00 7.237525E-01 +1.030145E+01 1.398037E+01 2.466628E-04 2.322291E+00 7.074429E-01 +1.030265E+01 1.368580E+01 2.501941E-04 2.271912E+00 6.916504E-01 +1.030385E+01 1.340032E+01 2.537462E-04 2.223102E+00 6.763535E-01 +1.030505E+01 1.312357E+01 2.573194E-04 2.175796E+00 6.615321E-01 +1.030626E+01 1.285519E+01 2.609137E-04 2.129935E+00 6.471670E-01 +1.030746E+01 1.259485E+01 2.645290E-04 2.085459E+00 6.332398E-01 +1.030867E+01 1.234224E+01 2.681656E-04 2.042316E+00 6.197331E-01 +1.030988E+01 1.209705E+01 2.718234E-04 2.000452E+00 6.066305E-01 +1.031110E+01 1.185899E+01 2.755026E-04 1.959818E+00 5.939162E-01 +1.031231E+01 1.162780E+01 2.792032E-04 1.920366E+00 5.815752E-01 +1.031353E+01 1.140321E+01 2.829252E-04 1.882052E+00 5.695932E-01 +1.031475E+01 1.118498E+01 2.866689E-04 1.844833E+00 5.579567E-01 +1.031597E+01 1.097286E+01 2.904342E-04 1.808668E+00 5.466527E-01 +1.031720E+01 1.076665E+01 2.942212E-04 1.773518E+00 5.356688E-01 +1.031842E+01 1.056610E+01 2.980300E-04 1.739345E+00 5.249933E-01 +1.031965E+01 1.037104E+01 3.018606E-04 1.706114E+00 5.146148E-01 +1.032088E+01 1.018124E+01 3.057132E-04 1.673792E+00 5.045227E-01 +1.032212E+01 9.996542E+00 3.095879E-04 1.642345E+00 4.947066E-01 +1.032335E+01 9.816750E+00 3.134847E-04 1.611742E+00 4.851567E-01 +1.032459E+01 9.641695E+00 3.174036E-04 1.581955E+00 4.758636E-01 +1.032583E+01 9.471214E+00 3.213449E-04 1.552954E+00 4.668184E-01 +1.032707E+01 9.305150E+00 3.253084E-04 1.524712E+00 4.580124E-01 +1.032831E+01 9.143353E+00 3.292945E-04 1.497204E+00 4.494375E-01 +1.032956E+01 8.985678E+00 3.333030E-04 1.470405E+00 4.410856E-01 +1.033081E+01 8.831986E+00 3.373342E-04 1.444290E+00 4.329494E-01 +1.033206E+01 8.682147E+00 3.413881E-04 1.418837E+00 4.250215E-01 +1.033331E+01 8.536032E+00 3.454647E-04 1.394023E+00 4.172950E-01 +1.033457E+01 8.393521E+00 3.495642E-04 1.369829E+00 4.097632E-01 +1.033582E+01 8.254495E+00 3.536867E-04 1.346233E+00 4.024198E-01 +1.033708E+01 8.118844E+00 3.578322E-04 1.323217E+00 3.952587E-01 +1.033834E+01 7.986459E+00 3.620009E-04 1.300761E+00 3.882739E-01 +1.033961E+01 7.857236E+00 3.661928E-04 1.278848E+00 3.814599E-01 +1.034087E+01 7.731077E+00 3.704080E-04 1.257461E+00 3.748111E-01 +1.034214E+01 7.607887E+00 3.746466E-04 1.236583E+00 3.683225E-01 +1.034341E+01 7.487572E+00 3.789087E-04 1.216198E+00 3.619889E-01 +1.034468E+01 7.370045E+00 3.831944E-04 1.196291E+00 3.558056E-01 +1.034596E+01 7.255221E+00 3.875038E-04 1.176848E+00 3.497679E-01 +1.034723E+01 7.143017E+00 3.918369E-04 1.157854E+00 3.438714E-01 +1.034851E+01 7.033356E+00 3.961940E-04 1.139296E+00 3.381118E-01 +1.034979E+01 6.926162E+00 4.005750E-04 1.121161E+00 3.324849E-01 +1.035107E+01 6.821361E+00 4.049801E-04 1.103435E+00 3.269868E-01 +1.035236E+01 6.718883E+00 4.094094E-04 1.086108E+00 3.216137E-01 +1.035364E+01 6.618661E+00 4.138629E-04 1.069167E+00 3.163618E-01 +1.035493E+01 6.520629E+00 4.183408E-04 1.052601E+00 3.112277E-01 +1.035622E+01 6.424724E+00 4.228432E-04 1.036399E+00 3.062078E-01 +1.035752E+01 6.330885E+00 4.273701E-04 1.020552E+00 3.012989E-01 +1.035881E+01 6.239054E+00 4.319217E-04 1.005047E+00 2.964979E-01 +1.036011E+01 6.149175E+00 4.364981E-04 9.898768E-01 2.918015E-01 +1.036141E+01 6.061192E+00 4.410993E-04 9.750308E-01 2.872069E-01 +1.036271E+01 5.975053E+00 4.457255E-04 9.605004E-01 2.827112E-01 +1.036402E+01 5.890707E+00 4.503768E-04 9.462766E-01 2.783117E-01 +1.036532E+01 5.808106E+00 4.550533E-04 9.323510E-01 2.740056E-01 +1.036663E+01 5.727201E+00 4.597551E-04 9.187155E-01 2.697904E-01 +1.036794E+01 5.647947E+00 4.644823E-04 9.053622E-01 2.656637E-01 +1.036925E+01 5.570299E+00 4.692349E-04 8.922834E-01 2.616229E-01 +1.037057E+01 5.494214E+00 4.740132E-04 8.794718E-01 2.576658E-01 +1.037188E+01 5.419652E+00 4.788173E-04 8.669201E-01 2.537901E-01 +1.037320E+01 5.346572E+00 4.836471E-04 8.546217E-01 2.499937E-01 +1.037452E+01 5.274935E+00 4.885029E-04 8.425697E-01 2.462744E-01 +1.037585E+01 5.204704E+00 4.933848E-04 8.307577E-01 2.426303E-01 +1.037717E+01 5.135842E+00 4.982928E-04 8.191794E-01 2.390593E-01 +1.037850E+01 5.068314E+00 5.032272E-04 8.078290E-01 2.355596E-01 +1.037983E+01 5.002087E+00 5.081879E-04 7.967003E-01 2.321292E-01 +1.038116E+01 4.937127E+00 5.131751E-04 7.857879E-01 2.287665E-01 +1.038249E+01 4.873402E+00 5.181889E-04 7.750863E-01 2.254697E-01 +1.038383E+01 4.810882E+00 5.232295E-04 7.645900E-01 2.222371E-01 +1.038516E+01 4.749536E+00 5.282970E-04 7.542940E-01 2.190672E-01 +1.038650E+01 4.689336E+00 5.333914E-04 7.441933E-01 2.159582E-01 +1.038785E+01 4.630253E+00 5.385130E-04 7.342831E-01 2.129088E-01 +1.038919E+01 4.572259E+00 5.436617E-04 7.245585E-01 2.099174E-01 +1.039054E+01 4.515330E+00 5.488378E-04 7.150152E-01 2.069826E-01 +1.039188E+01 4.459438E+00 5.540413E-04 7.056487E-01 2.041030E-01 +1.039323E+01 4.404559E+00 5.592725E-04 6.964547E-01 2.012773E-01 +1.039459E+01 4.350669E+00 5.645313E-04 6.874291E-01 1.985042E-01 +1.039594E+01 4.297744E+00 5.698180E-04 6.785679E-01 1.957823E-01 +1.039730E+01 4.245761E+00 5.751326E-04 6.698671E-01 1.931106E-01 +1.039865E+01 4.194699E+00 5.804753E-04 6.613229E-01 1.904877E-01 +1.040002E+01 4.144536E+00 5.858462E-04 6.529317E-01 1.879125E-01 +1.040138E+01 4.095251E+00 5.912454E-04 6.446899E-01 1.853840E-01 +1.040274E+01 4.046824E+00 5.966731E-04 6.365940E-01 1.829009E-01 +1.040411E+01 3.999235E+00 6.021293E-04 6.286407E-01 1.804623E-01 +1.040548E+01 3.952466E+00 6.076143E-04 6.208267E-01 1.780672E-01 +1.040685E+01 3.906497E+00 6.131282E-04 6.131487E-01 1.757144E-01 +1.040822E+01 3.861310E+00 6.186710E-04 6.056038E-01 1.734031E-01 +1.040960E+01 3.816888E+00 6.242429E-04 5.981888E-01 1.711324E-01 +1.041097E+01 3.773215E+00 6.298441E-04 5.909010E-01 1.689012E-01 +1.041235E+01 3.730272E+00 6.354747E-04 5.837373E-01 1.667087E-01 +1.041373E+01 3.688045E+00 6.411348E-04 5.766952E-01 1.645540E-01 +1.041512E+01 3.646517E+00 6.468245E-04 5.697718E-01 1.624363E-01 +1.041650E+01 3.605674E+00 6.525441E-04 5.629646E-01 1.603548E-01 +1.041789E+01 3.565500E+00 6.582935E-04 5.562710E-01 1.583086E-01 +1.041928E+01 3.525981E+00 6.640731E-04 5.496886E-01 1.562971E-01 +1.042067E+01 3.487103E+00 6.698828E-04 5.432149E-01 1.543193E-01 +1.042207E+01 3.448852E+00 6.757229E-04 5.368476E-01 1.523747E-01 +1.042346E+01 3.411215E+00 6.815935E-04 5.305845E-01 1.504625E-01 +1.042486E+01 3.374179E+00 6.874947E-04 5.244233E-01 1.485819E-01 +1.042626E+01 3.337731E+00 6.934267E-04 5.183618E-01 1.467324E-01 +1.042766E+01 3.301859E+00 6.993896E-04 5.123979E-01 1.449132E-01 +1.042907E+01 3.266551E+00 7.053835E-04 5.065296E-01 1.431237E-01 +1.043047E+01 3.231796E+00 7.114087E-04 5.007549E-01 1.413634E-01 +1.043188E+01 3.197582E+00 7.174653E-04 4.950719E-01 1.396314E-01 +1.043329E+01 3.163897E+00 7.235533E-04 4.894786E-01 1.379274E-01 +1.043470E+01 3.130731E+00 7.296731E-04 4.839732E-01 1.362507E-01 +1.043612E+01 3.098074E+00 7.358246E-04 4.785539E-01 1.346007E-01 +1.043753E+01 3.065915E+00 7.420081E-04 4.732190E-01 1.329768E-01 +1.043895E+01 3.034245E+00 7.482237E-04 4.679667E-01 1.313787E-01 +1.044037E+01 3.003053E+00 7.544716E-04 4.627953E-01 1.298056E-01 +1.044180E+01 2.972329E+00 7.607519E-04 4.577033E-01 1.282572E-01 +1.044322E+01 2.942066E+00 7.670648E-04 4.526891E-01 1.267329E-01 +1.044465E+01 2.912253E+00 7.734104E-04 4.477511E-01 1.252323E-01 +1.044608E+01 2.882882E+00 7.797889E-04 4.428877E-01 1.237548E-01 +1.044751E+01 2.853944E+00 7.862004E-04 4.380976E-01 1.223000E-01 +1.044894E+01 2.825431E+00 7.926452E-04 4.333793E-01 1.208674E-01 +1.045038E+01 2.797334E+00 7.991233E-04 4.287314E-01 1.194567E-01 +1.045181E+01 2.769646E+00 8.056350E-04 4.241525E-01 1.180674E-01 +1.045325E+01 2.742358E+00 8.121804E-04 4.196412E-01 1.166991E-01 +1.045470E+01 2.715464E+00 8.187596E-04 4.151964E-01 1.153513E-01 +1.045614E+01 2.688955E+00 8.253729E-04 4.108167E-01 1.140236E-01 +1.045759E+01 2.662825E+00 8.320204E-04 4.065008E-01 1.127158E-01 +1.045903E+01 2.637066E+00 8.387022E-04 4.022476E-01 1.114274E-01 +1.046048E+01 2.611671E+00 8.454185E-04 3.980559E-01 1.101579E-01 +1.046193E+01 2.586633E+00 8.521696E-04 3.939245E-01 1.089072E-01 +1.046339E+01 2.561946E+00 8.589555E-04 3.898523E-01 1.076747E-01 +1.046484E+01 2.537604E+00 8.657765E-04 3.858381E-01 1.064603E-01 +1.046630E+01 2.513600E+00 8.726326E-04 3.818810E-01 1.052634E-01 +1.046776E+01 2.489928E+00 8.795242E-04 3.779798E-01 1.040839E-01 +1.046922E+01 2.466581E+00 8.864514E-04 3.741335E-01 1.029214E-01 +1.047069E+01 2.443555E+00 8.934142E-04 3.703412E-01 1.017755E-01 +1.047216E+01 2.420842E+00 9.004130E-04 3.666018E-01 1.006460E-01 +1.047362E+01 2.398438E+00 9.074479E-04 3.629143E-01 9.953249E-02 +1.047509E+01 2.376337E+00 9.145191E-04 3.592779E-01 9.843480E-02 +1.047657E+01 2.354534E+00 9.216267E-04 3.556916E-01 9.735258E-02 +1.047804E+01 2.333023E+00 9.287710E-04 3.521545E-01 9.628556E-02 +1.047952E+01 2.311799E+00 9.359521E-04 3.486657E-01 9.523347E-02 +1.048100E+01 2.290857E+00 9.431703E-04 3.452245E-01 9.419604E-02 +1.048248E+01 2.270193E+00 9.504256E-04 3.418298E-01 9.317300E-02 +1.048396E+01 2.249801E+00 9.577183E-04 3.384810E-01 9.216410E-02 +1.048545E+01 2.229676E+00 9.650486E-04 3.351772E-01 9.116909E-02 +1.048693E+01 2.209814E+00 9.724166E-04 3.319176E-01 9.018772E-02 +1.048842E+01 2.190211E+00 9.798226E-04 3.287014E-01 8.921975E-02 +1.048991E+01 2.170862E+00 9.872668E-04 3.255280E-01 8.826495E-02 +1.049141E+01 2.151762E+00 9.947493E-04 3.223965E-01 8.732309E-02 +1.049290E+01 2.132908E+00 1.002270E-03 3.193062E-01 8.639394E-02 +1.049440E+01 2.114296E+00 1.009830E-03 3.162565E-01 8.547729E-02 +1.049590E+01 2.095920E+00 1.017429E-03 3.132466E-01 8.457291E-02 +1.049740E+01 2.077778E+00 1.025067E-03 3.102759E-01 8.368060E-02 +1.049891E+01 2.059865E+00 1.032744E-03 3.073437E-01 8.280015E-02 +1.050041E+01 2.042178E+00 1.040461E-03 3.044494E-01 8.193136E-02 +1.050192E+01 2.024712E+00 1.048217E-03 3.015923E-01 8.107403E-02 +1.050343E+01 2.007465E+00 1.056013E-03 2.987718E-01 8.022797E-02 +1.050494E+01 1.990432E+00 1.063850E-03 2.959872E-01 7.939299E-02 +1.050646E+01 1.973610E+00 1.071727E-03 2.932381E-01 7.856889E-02 +1.050797E+01 1.956996E+00 1.079644E-03 2.905238E-01 7.775551E-02 +1.050949E+01 1.940586E+00 1.087603E-03 2.878437E-01 7.695266E-02 +1.051101E+01 1.924376E+00 1.095602E-03 2.851972E-01 7.616017E-02 +1.051253E+01 1.908365E+00 1.103642E-03 2.825839E-01 7.537786E-02 +1.051406E+01 1.892548E+00 1.111724E-03 2.800032E-01 7.460557E-02 +1.051559E+01 1.876922E+00 1.119848E-03 2.774546E-01 7.384313E-02 +1.051711E+01 1.861485E+00 1.128013E-03 2.749375E-01 7.309039E-02 +1.051865E+01 1.846233E+00 1.136220E-03 2.724514E-01 7.234719E-02 +1.052018E+01 1.831164E+00 1.144470E-03 2.699959E-01 7.161337E-02 +1.052171E+01 1.816274E+00 1.152762E-03 2.675704E-01 7.088877E-02 +1.052325E+01 1.801560E+00 1.161097E-03 2.651745E-01 7.017326E-02 +1.052479E+01 1.787021E+00 1.169475E-03 2.628077E-01 6.946669E-02 +1.052633E+01 1.772653E+00 1.177896E-03 2.604695E-01 6.876891E-02 +1.052788E+01 1.758453E+00 1.186361E-03 2.581596E-01 6.807978E-02 +1.052942E+01 1.744420E+00 1.194869E-03 2.558774E-01 6.739917E-02 +1.053097E+01 1.730550E+00 1.203421E-03 2.536225E-01 6.672694E-02 +1.053252E+01 1.716841E+00 1.212017E-03 2.513945E-01 6.606297E-02 +1.053407E+01 1.703290E+00 1.220658E-03 2.491930E-01 6.540711E-02 +1.053562E+01 1.689896E+00 1.229343E-03 2.470175E-01 6.475925E-02 +1.053718E+01 1.676655E+00 1.238073E-03 2.448678E-01 6.411926E-02 +1.053874E+01 1.663565E+00 1.246848E-03 2.427433E-01 6.348701E-02 +1.054030E+01 1.650625E+00 1.255668E-03 2.406437E-01 6.286240E-02 +1.054186E+01 1.637831E+00 1.264534E-03 2.385686E-01 6.224530E-02 +1.054343E+01 1.625182E+00 1.273445E-03 2.365177E-01 6.163559E-02 +1.054499E+01 1.612676E+00 1.282403E-03 2.344906E-01 6.103316E-02 +1.054656E+01 1.600310E+00 1.291407E-03 2.324868E-01 6.043791E-02 +1.054813E+01 1.588082E+00 1.300458E-03 2.305062E-01 5.984972E-02 +1.054971E+01 1.575991E+00 1.309555E-03 2.285482E-01 5.926848E-02 +1.055128E+01 1.564034E+00 1.318699E-03 2.266127E-01 5.869410E-02 +1.055286E+01 1.552209E+00 1.327891E-03 2.246992E-01 5.812647E-02 +1.055444E+01 1.540514E+00 1.337130E-03 2.228075E-01 5.756548E-02 +1.055602E+01 1.528948E+00 1.346417E-03 2.209371E-01 5.701104E-02 +1.055760E+01 1.517509E+00 1.355752E-03 2.190879E-01 5.646306E-02 +1.055919E+01 1.506195E+00 1.365135E-03 2.172594E-01 5.592143E-02 +1.056078E+01 1.495003E+00 1.374567E-03 2.154514E-01 5.538606E-02 +1.056237E+01 1.483933E+00 1.384048E-03 2.136636E-01 5.485686E-02 +1.056396E+01 1.472982E+00 1.393578E-03 2.118957E-01 5.433374E-02 +1.056555E+01 1.462150E+00 1.403157E-03 2.101474E-01 5.381660E-02 +1.056715E+01 1.451433E+00 1.412786E-03 2.084185E-01 5.330538E-02 +1.056875E+01 1.440831E+00 1.422465E-03 2.067086E-01 5.279997E-02 +1.057035E+01 1.430341E+00 1.432194E-03 2.050174E-01 5.230029E-02 +1.057195E+01 1.419964E+00 1.441974E-03 2.033448E-01 5.180626E-02 +1.057355E+01 1.409695E+00 1.451804E-03 2.016904E-01 5.131781E-02 +1.057516E+01 1.399536E+00 1.461686E-03 2.000541E-01 5.083484E-02 +1.057677E+01 1.389482E+00 1.471618E-03 1.984354E-01 5.035728E-02 +1.057838E+01 1.379534E+00 1.481603E-03 1.968342E-01 4.988506E-02 +1.057999E+01 1.369690E+00 1.491639E-03 1.952503E-01 4.941810E-02 +1.058161E+01 1.359949E+00 1.501728E-03 1.936834E-01 4.895632E-02 +1.058323E+01 1.350308E+00 1.511869E-03 1.921333E-01 4.849965E-02 +1.058485E+01 1.340767E+00 1.522063E-03 1.905996E-01 4.804802E-02 +1.058647E+01 1.331324E+00 1.532310E-03 1.890823E-01 4.760136E-02 +1.058809E+01 1.321978E+00 1.542610E-03 1.875811E-01 4.715960E-02 +1.058972E+01 1.312728E+00 1.552964E-03 1.860957E-01 4.672267E-02 +1.059135E+01 1.303572E+00 1.563372E-03 1.846260E-01 4.629051E-02 +1.059298E+01 1.294509E+00 1.573834E-03 1.831717E-01 4.586304E-02 +1.059461E+01 1.285537E+00 1.584351E-03 1.817326E-01 4.544021E-02 +1.059624E+01 1.276657E+00 1.594923E-03 1.803086E-01 4.502195E-02 +1.059788E+01 1.267866E+00 1.605550E-03 1.788993E-01 4.460819E-02 +1.059952E+01 1.259163E+00 1.616232E-03 1.775047E-01 4.419889E-02 +1.060116E+01 1.250547E+00 1.626970E-03 1.761245E-01 4.379396E-02 +1.060280E+01 1.242017E+00 1.637765E-03 1.747585E-01 4.339336E-02 +1.060445E+01 1.233571E+00 1.648616E-03 1.734065E-01 4.299703E-02 +1.060610E+01 1.225210E+00 1.659524E-03 1.720684E-01 4.260491E-02 +1.060774E+01 1.216930E+00 1.670489E-03 1.707440E-01 4.221695E-02 +1.060940E+01 1.208733E+00 1.681511E-03 1.694330E-01 4.183308E-02 +1.061105E+01 1.200616E+00 1.692591E-03 1.681353E-01 4.145325E-02 +1.061271E+01 1.192578E+00 1.703729E-03 1.668508E-01 4.107742E-02 +1.061436E+01 1.184618E+00 1.714926E-03 1.655792E-01 4.070552E-02 +1.061602E+01 1.176736E+00 1.726182E-03 1.643204E-01 4.033750E-02 +1.061769E+01 1.168931E+00 1.737496E-03 1.630743E-01 3.997332E-02 +1.061935E+01 1.161200E+00 1.748870E-03 1.618406E-01 3.961292E-02 +1.062102E+01 1.153545E+00 1.760304E-03 1.606192E-01 3.925625E-02 +1.062269E+01 1.145962E+00 1.771798E-03 1.594099E-01 3.890326E-02 +1.062436E+01 1.138452E+00 1.783353E-03 1.582126E-01 3.855391E-02 +1.062603E+01 1.131014E+00 1.794968E-03 1.570272E-01 3.820816E-02 +1.062771E+01 1.123647E+00 1.806645E-03 1.558534E-01 3.786594E-02 +1.062938E+01 1.116350E+00 1.818383E-03 1.546912E-01 3.752722E-02 +1.063106E+01 1.109121E+00 1.830183E-03 1.535403E-01 3.719195E-02 +1.063275E+01 1.101961E+00 1.842046E-03 1.524007E-01 3.686008E-02 +1.063443E+01 1.094868E+00 1.853971E-03 1.512722E-01 3.653158E-02 +1.063612E+01 1.087841E+00 1.865959E-03 1.501547E-01 3.620641E-02 +1.063780E+01 1.080880E+00 1.878011E-03 1.490479E-01 3.588451E-02 +1.063949E+01 1.073984E+00 1.890126E-03 1.479519E-01 3.556584E-02 +1.064119E+01 1.067152E+00 1.902305E-03 1.468664E-01 3.525037E-02 +1.064288E+01 1.060383E+00 1.914549E-03 1.457913E-01 3.493806E-02 +1.064458E+01 1.053677E+00 1.926858E-03 1.447265E-01 3.462886E-02 +1.064628E+01 1.047032E+00 1.939233E-03 1.436719E-01 3.432274E-02 +1.064798E+01 1.040448E+00 1.951672E-03 1.426274E-01 3.401966E-02 +1.064968E+01 1.033925E+00 1.964178E-03 1.415927E-01 3.371957E-02 +1.065139E+01 1.027461E+00 1.976751E-03 1.405678E-01 3.342245E-02 +1.065310E+01 1.021056E+00 1.989390E-03 1.395526E-01 3.312826E-02 +1.065481E+01 1.014709E+00 2.002097E-03 1.385470E-01 3.283695E-02 +1.065652E+01 1.008420E+00 2.014871E-03 1.375508E-01 3.254850E-02 +1.065823E+01 1.002187E+00 2.027713E-03 1.365639E-01 3.226287E-02 +1.065995E+01 9.960099E-01 2.040624E-03 1.355863E-01 3.198002E-02 +1.066167E+01 9.898885E-01 2.053604E-03 1.346177E-01 3.169992E-02 +1.066339E+01 9.838219E-01 2.066653E-03 1.336582E-01 3.142254E-02 +1.066511E+01 9.778093E-01 2.079772E-03 1.327075E-01 3.114784E-02 +1.066684E+01 9.718501E-01 2.092960E-03 1.317656E-01 3.087579E-02 +1.066857E+01 9.659438E-01 2.106220E-03 1.308324E-01 3.060636E-02 +1.067030E+01 9.600897E-01 2.119550E-03 1.299077E-01 3.033952E-02 +1.067203E+01 9.542872E-01 2.132952E-03 1.289916E-01 3.007524E-02 +1.067376E+01 9.485357E-01 2.146426E-03 1.280838E-01 2.981348E-02 +1.067550E+01 9.428347E-01 2.159972E-03 1.271842E-01 2.955422E-02 +1.067724E+01 9.371834E-01 2.173591E-03 1.262929E-01 2.929742E-02 +1.067898E+01 9.315815E-01 2.187283E-03 1.254096E-01 2.904306E-02 +1.068072E+01 9.260282E-01 2.201049E-03 1.245343E-01 2.879111E-02 +1.068247E+01 9.205230E-01 2.214888E-03 1.236668E-01 2.854153E-02 +1.068422E+01 9.150655E-01 2.228803E-03 1.228072E-01 2.829431E-02 +1.068597E+01 9.096550E-01 2.242792E-03 1.219553E-01 2.804940E-02 +1.068772E+01 9.042910E-01 2.256857E-03 1.211110E-01 2.780680E-02 +1.068947E+01 8.989730E-01 2.270998E-03 1.202743E-01 2.756646E-02 +1.069123E+01 8.937005E-01 2.285215E-03 1.194449E-01 2.732837E-02 +1.069299E+01 8.884729E-01 2.299509E-03 1.186230E-01 2.709249E-02 +1.069475E+01 8.832898E-01 2.313880E-03 1.178083E-01 2.685880E-02 +1.069651E+01 8.781506E-01 2.328330E-03 1.170008E-01 2.662728E-02 +1.069828E+01 8.730549E-01 2.342857E-03 1.162004E-01 2.639790E-02 +1.070004E+01 8.680022E-01 2.357464E-03 1.154071E-01 2.617063E-02 +1.070181E+01 8.629920E-01 2.372149E-03 1.146207E-01 2.594546E-02 +1.070359E+01 8.580239E-01 2.386915E-03 1.138411E-01 2.572235E-02 +1.070536E+01 8.530973E-01 2.401761E-03 1.130684E-01 2.550129E-02 +1.070714E+01 8.482118E-01 2.416687E-03 1.123024E-01 2.528224E-02 +1.070891E+01 8.433670E-01 2.431695E-03 1.115430E-01 2.506519E-02 +1.071070E+01 8.385623E-01 2.446785E-03 1.107902E-01 2.485012E-02 +1.071248E+01 8.337975E-01 2.461957E-03 1.100439E-01 2.463700E-02 +1.071426E+01 8.290720E-01 2.477212E-03 1.093040E-01 2.442581E-02 +1.071605E+01 8.243855E-01 2.492551E-03 1.085704E-01 2.421653E-02 +1.071784E+01 8.197374E-01 2.507973E-03 1.078432E-01 2.400914E-02 +1.071963E+01 8.151274E-01 2.523480E-03 1.071221E-01 2.380361E-02 +1.072143E+01 8.105551E-01 2.539072E-03 1.064072E-01 2.359993E-02 +1.072322E+01 8.060200E-01 2.554749E-03 1.056984E-01 2.339807E-02 +1.072502E+01 8.015218E-01 2.570512E-03 1.049955E-01 2.319802E-02 +1.072682E+01 7.970601E-01 2.586362E-03 1.042986E-01 2.299975E-02 +1.072863E+01 7.926345E-01 2.602300E-03 1.036076E-01 2.280325E-02 +1.073043E+01 7.882445E-01 2.618325E-03 1.029224E-01 2.260849E-02 +1.073224E+01 7.838899E-01 2.634438E-03 1.022430E-01 2.241545E-02 +1.073405E+01 7.795702E-01 2.650640E-03 1.015692E-01 2.222413E-02 +1.073586E+01 7.752851E-01 2.666932E-03 1.009011E-01 2.203449E-02 +1.073768E+01 7.710342E-01 2.683314E-03 1.002386E-01 2.184652E-02 +1.073949E+01 7.668172E-01 2.699786E-03 9.958152E-02 2.166021E-02 +1.074131E+01 7.626336E-01 2.716350E-03 9.892991E-02 2.147553E-02 +1.074314E+01 7.584832E-01 2.733005E-03 9.828370E-02 2.129246E-02 +1.074496E+01 7.543656E-01 2.749753E-03 9.764282E-02 2.111099E-02 +1.074679E+01 7.502805E-01 2.766594E-03 9.700722E-02 2.093111E-02 +1.074861E+01 7.462275E-01 2.783529E-03 9.637684E-02 2.075279E-02 +1.075044E+01 7.422063E-01 2.800557E-03 9.575162E-02 2.057602E-02 +1.075228E+01 7.382166E-01 2.817681E-03 9.513151E-02 2.040077E-02 +1.075411E+01 7.342579E-01 2.834900E-03 9.451646E-02 2.022705E-02 +1.075595E+01 7.303302E-01 2.852215E-03 9.390642E-02 2.005482E-02 +1.075779E+01 7.264329E-01 2.869627E-03 9.330132E-02 1.988408E-02 +1.075963E+01 7.225658E-01 2.887136E-03 9.270112E-02 1.971480E-02 +1.076147E+01 7.187286E-01 2.904743E-03 9.210577E-02 1.954697E-02 +1.076332E+01 7.149210E-01 2.922449E-03 9.151522E-02 1.938058E-02 +1.076517E+01 7.111427E-01 2.940255E-03 9.092942E-02 1.921562E-02 +1.076702E+01 7.073933E-01 2.958160E-03 9.034831E-02 1.905205E-02 +1.076887E+01 7.036727E-01 2.976166E-03 8.977186E-02 1.888988E-02 +1.077073E+01 6.999804E-01 2.994273E-03 8.920001E-02 1.872909E-02 +1.077259E+01 6.963163E-01 3.012483E-03 8.863271E-02 1.856966E-02 +1.077445E+01 6.926800E-01 3.030795E-03 8.806992E-02 1.841158E-02 +1.077631E+01 6.890713E-01 3.049210E-03 8.751159E-02 1.825483E-02 +1.077818E+01 6.854898E-01 3.067730E-03 8.695768E-02 1.809941E-02 +1.078004E+01 6.819354E-01 3.086354E-03 8.640814E-02 1.794529E-02 +1.078191E+01 6.784077E-01 3.105084E-03 8.586292E-02 1.779247E-02 +1.078378E+01 6.749065E-01 3.123920E-03 8.532199E-02 1.764093E-02 +1.078566E+01 6.714315E-01 3.142863E-03 8.478530E-02 1.749065E-02 +1.078753E+01 6.679825E-01 3.161913E-03 8.425281E-02 1.734163E-02 +1.078941E+01 6.645592E-01 3.181072E-03 8.372447E-02 1.719385E-02 +1.079129E+01 6.611613E-01 3.200340E-03 8.320024E-02 1.704730E-02 +1.079318E+01 6.577887E-01 3.219718E-03 8.268009E-02 1.690197E-02 +1.079506E+01 6.544410E-01 3.239207E-03 8.216397E-02 1.675784E-02 +1.079695E+01 6.511180E-01 3.258807E-03 8.165183E-02 1.661491E-02 +1.079884E+01 6.478195E-01 3.278519E-03 8.114365E-02 1.647316E-02 +1.080073E+01 6.445453E-01 3.298344E-03 8.063938E-02 1.633257E-02 +1.080263E+01 6.412950E-01 3.318283E-03 8.013898E-02 1.619314E-02 +1.080453E+01 6.380686E-01 3.338336E-03 7.964242E-02 1.605486E-02 +1.080643E+01 6.348656E-01 3.358505E-03 7.914966E-02 1.591771E-02 +1.080833E+01 6.316860E-01 3.378789E-03 7.866065E-02 1.578169E-02 +1.081023E+01 6.285295E-01 3.399191E-03 7.817536E-02 1.564677E-02 +1.081214E+01 6.253959E-01 3.419710E-03 7.769377E-02 1.551296E-02 +1.081405E+01 6.222849E-01 3.440348E-03 7.721582E-02 1.538024E-02 +1.081596E+01 6.191964E-01 3.461105E-03 7.674148E-02 1.524859E-02 +1.081787E+01 6.161301E-01 3.481982E-03 7.627073E-02 1.511802E-02 +1.081979E+01 6.130858E-01 3.502981E-03 7.580352E-02 1.498850E-02 +1.082171E+01 6.100633E-01 3.524101E-03 7.533981E-02 1.486003E-02 +1.082363E+01 6.070624E-01 3.545344E-03 7.487959E-02 1.473260E-02 +1.082555E+01 6.040830E-01 3.566711E-03 7.442280E-02 1.460620E-02 +1.082748E+01 6.011247E-01 3.588202E-03 7.396943E-02 1.448081E-02 +1.082940E+01 5.981875E-01 3.609818E-03 7.351943E-02 1.435644E-02 +1.083134E+01 5.952710E-01 3.631561E-03 7.307278E-02 1.423306E-02 +1.083327E+01 5.923752E-01 3.653431E-03 7.262943E-02 1.411067E-02 +1.083520E+01 5.894998E-01 3.675429E-03 7.218937E-02 1.398926E-02 +1.083714E+01 5.866446E-01 3.697556E-03 7.175256E-02 1.386881E-02 +1.083908E+01 5.838095E-01 3.719813E-03 7.131896E-02 1.374933E-02 +1.084102E+01 5.809942E-01 3.742201E-03 7.088856E-02 1.363080E-02 +1.084297E+01 5.781986E-01 3.764720E-03 7.046131E-02 1.351322E-02 +1.084491E+01 5.754225E-01 3.787373E-03 7.003718E-02 1.339656E-02 +1.084686E+01 5.726657E-01 3.810158E-03 6.961616E-02 1.328084E-02 +1.084881E+01 5.699281E-01 3.833079E-03 6.919820E-02 1.316602E-02 +1.085077E+01 5.672094E-01 3.856135E-03 6.878328E-02 1.305212E-02 +1.085272E+01 5.645096E-01 3.879328E-03 6.837138E-02 1.293911E-02 +1.085468E+01 5.618283E-01 3.902659E-03 6.796246E-02 1.282700E-02 +1.085664E+01 5.591655E-01 3.926128E-03 6.755649E-02 1.271577E-02 +1.085861E+01 5.565210E-01 3.949736E-03 6.715345E-02 1.260541E-02 +1.086057E+01 5.538947E-01 3.973486E-03 6.675331E-02 1.249591E-02 +1.086254E+01 5.512862E-01 3.997377E-03 6.635605E-02 1.238728E-02 +1.086451E+01 5.486956E-01 4.021411E-03 6.596163E-02 1.227950E-02 +1.086648E+01 5.461226E-01 4.045588E-03 6.557004E-02 1.217255E-02 +1.086846E+01 5.435671E-01 4.069911E-03 6.518123E-02 1.206645E-02 +1.087044E+01 5.410290E-01 4.094379E-03 6.479520E-02 1.196117E-02 +1.087242E+01 5.385079E-01 4.118994E-03 6.441191E-02 1.185671E-02 +1.087440E+01 5.360040E-01 4.143758E-03 6.403134E-02 1.175306E-02 +1.087639E+01 5.335168E-01 4.168670E-03 6.365346E-02 1.165021E-02 +1.087837E+01 5.310464E-01 4.193733E-03 6.327825E-02 1.154816E-02 +1.088036E+01 5.285926E-01 4.218947E-03 6.290569E-02 1.144691E-02 +1.088236E+01 5.261552E-01 4.244314E-03 6.253575E-02 1.134643E-02 +1.088435E+01 5.237341E-01 4.269835E-03 6.216840E-02 1.124674E-02 +1.088635E+01 5.213291E-01 4.295510E-03 6.180363E-02 1.114781E-02 +1.088835E+01 5.189401E-01 4.321342E-03 6.144140E-02 1.104964E-02 +1.089035E+01 5.165669E-01 4.347330E-03 6.108171E-02 1.095223E-02 +1.089235E+01 5.142095E-01 4.373477E-03 6.072451E-02 1.085557E-02 +1.089436E+01 5.118676E-01 4.399784E-03 6.036980E-02 1.075965E-02 +1.089637E+01 5.095412E-01 4.426251E-03 6.001755E-02 1.066447E-02 +1.089838E+01 5.072301E-01 4.452881E-03 5.966774E-02 1.057001E-02 +1.090040E+01 5.049342E-01 4.479674E-03 5.932034E-02 1.047628E-02 +1.090241E+01 5.026534E-01 4.506631E-03 5.897533E-02 1.038326E-02 +1.090443E+01 5.003874E-01 4.533754E-03 5.863270E-02 1.029096E-02 +1.090645E+01 4.981363E-01 4.561044E-03 5.829242E-02 1.019936E-02 +1.090848E+01 4.958998E-01 4.588503E-03 5.795447E-02 1.010845E-02 +1.091050E+01 4.936778E-01 4.616131E-03 5.761883E-02 1.001824E-02 +1.091253E+01 4.914703E-01 4.643930E-03 5.728548E-02 9.928714E-03 +1.091457E+01 4.892770E-01 4.671901E-03 5.695440E-02 9.839869E-03 +1.091660E+01 4.870979E-01 4.700046E-03 5.662557E-02 9.751697E-03 +1.091864E+01 4.849329E-01 4.728366E-03 5.629897E-02 9.664194E-03 +1.092067E+01 4.827818E-01 4.756862E-03 5.597458E-02 9.577354E-03 +1.092272E+01 4.806445E-01 4.785536E-03 5.565238E-02 9.491171E-03 +1.092476E+01 4.785209E-01 4.814389E-03 5.533235E-02 9.405639E-03 +1.092681E+01 4.764109E-01 4.843423E-03 5.501448E-02 9.320754E-03 +1.092885E+01 4.743143E-01 4.872639E-03 5.469873E-02 9.236509E-03 +1.093091E+01 4.722311E-01 4.902038E-03 5.438511E-02 9.152900E-03 +1.093296E+01 4.701612E-01 4.931621E-03 5.407358E-02 9.069921E-03 +1.093502E+01 4.681044E-01 4.961392E-03 5.376413E-02 8.987566E-03 +1.093707E+01 4.660606E-01 4.991349E-03 5.345674E-02 8.905831E-03 +1.093914E+01 4.640297E-01 5.021497E-03 5.315139E-02 8.824710E-03 +1.094120E+01 4.620116E-01 5.051835E-03 5.284807E-02 8.744199E-03 +1.094326E+01 4.600062E-01 5.082365E-03 5.254676E-02 8.664292E-03 +1.094533E+01 4.580134E-01 5.113089E-03 5.224744E-02 8.584985E-03 +1.094740E+01 4.560331E-01 5.144008E-03 5.195009E-02 8.506272E-03 +1.094948E+01 4.540652E-01 5.175125E-03 5.165470E-02 8.428148E-03 +1.095155E+01 4.521096E-01 5.206440E-03 5.136125E-02 8.350610E-03 +1.095363E+01 4.501661E-01 5.237955E-03 5.106972E-02 8.273652E-03 +1.095571E+01 4.482348E-01 5.269672E-03 5.078010E-02 8.197269E-03 +1.095780E+01 4.463154E-01 5.301593E-03 5.049237E-02 8.121458E-03 +1.095988E+01 4.444079E-01 5.333719E-03 5.020652E-02 8.046212E-03 +1.096197E+01 4.425123E-01 5.366051E-03 4.992253E-02 7.971529E-03 +1.096406E+01 4.406283E-01 5.398592E-03 4.964038E-02 7.897403E-03 +1.096616E+01 4.387559E-01 5.431343E-03 4.936005E-02 7.823830E-03 +1.096825E+01 4.368950E-01 5.464306E-03 4.908154E-02 7.750805E-03 +1.097035E+01 4.350455E-01 5.497483E-03 4.880483E-02 7.678325E-03 +1.097245E+01 4.332074E-01 5.530875E-03 4.852990E-02 7.606384E-03 +1.097456E+01 4.313805E-01 5.564484E-03 4.825674E-02 7.534980E-03 +1.097666E+01 4.295647E-01 5.598313E-03 4.798533E-02 7.464108E-03 +1.097877E+01 4.277600E-01 5.632362E-03 4.771566E-02 7.393762E-03 +1.098088E+01 4.259663E-01 5.666634E-03 4.744771E-02 7.323941E-03 +1.098300E+01 4.241834E-01 5.701130E-03 4.718147E-02 7.254639E-03 +1.098511E+01 4.224113E-01 5.735853E-03 4.691692E-02 7.185853E-03 +1.098723E+01 4.206500E-01 5.770804E-03 4.665406E-02 7.117578E-03 +1.098936E+01 4.188992E-01 5.805986E-03 4.639286E-02 7.049811E-03 +1.099148E+01 4.171590E-01 5.841400E-03 4.613332E-02 6.982548E-03 +1.099361E+01 4.154292E-01 5.877047E-03 4.587541E-02 6.915785E-03 +1.099574E+01 4.137098E-01 5.912932E-03 4.561913E-02 6.849519E-03 +1.099787E+01 4.120007E-01 5.949054E-03 4.536447E-02 6.783745E-03 +1.100000E+01 4.103018E-01 5.985416E-03 4.511140E-02 6.718461E-03 +1.100214E+01 4.086131E-01 6.022021E-03 4.485992E-02 6.653662E-03 +1.100428E+01 4.069343E-01 6.058870E-03 4.461001E-02 6.589345E-03 +1.100642E+01 4.052656E-01 6.095966E-03 4.436167E-02 6.525506E-03 +1.100857E+01 4.036067E-01 6.133310E-03 4.411487E-02 6.462143E-03 +1.101071E+01 4.019577E-01 6.170905E-03 4.386960E-02 6.399251E-03 +1.101286E+01 4.003184E-01 6.208753E-03 4.362586E-02 6.336827E-03 +1.101502E+01 3.986887E-01 6.246855E-03 4.338363E-02 6.274868E-03 +1.101717E+01 3.970687E-01 6.285216E-03 4.314290E-02 6.213370E-03 +1.101933E+01 3.954581E-01 6.323835E-03 4.290365E-02 6.152331E-03 +1.102149E+01 3.938570E-01 6.362717E-03 4.266588E-02 6.091747E-03 +1.102365E+01 3.922653E-01 6.401863E-03 4.242957E-02 6.031614E-03 +1.102582E+01 3.906828E-01 6.441275E-03 4.219471E-02 5.971930E-03 +1.102798E+01 3.891096E-01 6.480956E-03 4.196128E-02 5.912692E-03 +1.103016E+01 3.875456E-01 6.520908E-03 4.172929E-02 5.853897E-03 +1.103233E+01 3.859906E-01 6.561134E-03 4.149871E-02 5.795540E-03 +1.103450E+01 3.844446E-01 6.601635E-03 4.126953E-02 5.737621E-03 +1.103668E+01 3.829076E-01 6.642416E-03 4.104175E-02 5.680135E-03 +1.103886E+01 3.813795E-01 6.683477E-03 4.081534E-02 5.623079E-03 +1.104105E+01 3.798602E-01 6.724822E-03 4.059031E-02 5.566451E-03 +1.104323E+01 3.783496E-01 6.766452E-03 4.036664E-02 5.510249E-03 +1.104542E+01 3.768477E-01 6.808372E-03 4.014432E-02 5.454468E-03 +1.104761E+01 3.753544E-01 6.850582E-03 3.992333E-02 5.399107E-03 +1.104981E+01 3.738697E-01 6.893086E-03 3.970368E-02 5.344162E-03 +1.105201E+01 3.723934E-01 6.935887E-03 3.948534E-02 5.289631E-03 +1.105420E+01 3.709256E-01 6.978987E-03 3.926831E-02 5.235512E-03 +1.105641E+01 3.694661E-01 7.022390E-03 3.905257E-02 5.181801E-03 +1.105861E+01 3.680150E-01 7.066096E-03 3.883812E-02 5.128496E-03 +1.106082E+01 3.665720E-01 7.110111E-03 3.862494E-02 5.075595E-03 +1.106303E+01 3.651372E-01 7.154435E-03 3.841304E-02 5.023095E-03 +1.106524E+01 3.637106E-01 7.199073E-03 3.820238E-02 4.970993E-03 +1.106746E+01 3.622920E-01 7.244027E-03 3.799298E-02 4.919288E-03 +1.106968E+01 3.608813E-01 7.289300E-03 3.778481E-02 4.867976E-03 +1.107190E+01 3.594786E-01 7.334895E-03 3.757787E-02 4.817055E-03 +1.107412E+01 3.580838E-01 7.380815E-03 3.737214E-02 4.766524E-03 +1.107635E+01 3.566968E-01 7.427063E-03 3.716762E-02 4.716379E-03 +1.107857E+01 3.553176E-01 7.473642E-03 3.696430E-02 4.666618E-03 +1.108081E+01 3.539460E-01 7.520556E-03 3.676217E-02 4.617240E-03 +1.108304E+01 3.525821E-01 7.567807E-03 3.656122E-02 4.568241E-03 +1.108528E+01 3.512258E-01 7.615398E-03 3.636144E-02 4.519621E-03 +1.108752E+01 3.498771E-01 7.663333E-03 3.616282E-02 4.471376E-03 +1.108976E+01 3.485358E-01 7.711615E-03 3.596535E-02 4.423504E-03 +1.109200E+01 3.472019E-01 7.760248E-03 3.576903E-02 4.376004E-03 +1.109425E+01 3.458754E-01 7.809235E-03 3.557384E-02 4.328874E-03 +1.109650E+01 3.445562E-01 7.858578E-03 3.537978E-02 4.282110E-03 +1.109875E+01 3.432443E-01 7.908283E-03 3.518684E-02 4.235713E-03 +1.110101E+01 3.419396E-01 7.958351E-03 3.499500E-02 4.189678E-03 +1.110327E+01 3.406420E-01 8.008787E-03 3.480426E-02 4.144006E-03 +1.110553E+01 3.393516E-01 8.059594E-03 3.461462E-02 4.098693E-03 +1.110779E+01 3.380682E-01 8.110776E-03 3.442606E-02 4.053737E-03 +1.111006E+01 3.367918E-01 8.162336E-03 3.423857E-02 4.009138E-03 +1.111233E+01 3.355224E-01 8.214278E-03 3.405215E-02 3.964894E-03 +1.111460E+01 3.342599E-01 8.266607E-03 3.386679E-02 3.921001E-03 +1.111687E+01 3.330042E-01 8.319325E-03 3.368248E-02 3.877460E-03 +1.111915E+01 3.317553E-01 8.372436E-03 3.349922E-02 3.834267E-03 +1.112143E+01 3.305133E-01 8.425945E-03 3.331698E-02 3.791422E-03 +1.112371E+01 3.292779E-01 8.479855E-03 3.313578E-02 3.748923E-03 +1.112600E+01 3.280491E-01 8.534171E-03 3.295559E-02 3.706768E-03 +1.112829E+01 3.268270E-01 8.588896E-03 3.277642E-02 3.664956E-03 +1.113058E+01 3.256115E-01 8.644035E-03 3.259824E-02 3.623485E-03 +1.113287E+01 3.244025E-01 8.699592E-03 3.242107E-02 3.582353E-03 +1.113517E+01 3.232000E-01 8.755570E-03 3.224488E-02 3.541560E-03 +1.113747E+01 3.220039E-01 8.811975E-03 3.206967E-02 3.501104E-03 +1.113977E+01 3.208142E-01 8.868810E-03 3.189544E-02 3.460983E-03 +1.114207E+01 3.196308E-01 8.926080E-03 3.172217E-02 3.421196E-03 +1.114438E+01 3.184537E-01 8.983789E-03 3.154987E-02 3.381741E-03 +1.114669E+01 3.172829E-01 9.041943E-03 3.137851E-02 3.342618E-03 +1.114900E+01 3.161183E-01 9.100544E-03 3.120810E-02 3.303825E-03 +1.115132E+01 3.149598E-01 9.159599E-03 3.103863E-02 3.265361E-03 +1.115364E+01 3.138075E-01 9.219112E-03 3.087008E-02 3.227225E-03 +1.115596E+01 3.126613E-01 9.279086E-03 3.070246E-02 3.189415E-03 +1.115828E+01 3.115211E-01 9.339529E-03 3.053576E-02 3.151930E-03 +1.116061E+01 3.103869E-01 9.400443E-03 3.036997E-02 3.114769E-03 +1.116294E+01 3.092586E-01 9.461835E-03 3.020508E-02 3.077932E-03 +1.116527E+01 3.081363E-01 9.523708E-03 3.004108E-02 3.041417E-03 +1.116761E+01 3.070199E-01 9.586069E-03 2.987798E-02 3.005223E-03 +1.116995E+01 3.059093E-01 9.648922E-03 2.971575E-02 2.969348E-03 +1.117229E+01 3.048044E-01 9.712273E-03 2.955441E-02 2.933793E-03 +1.117463E+01 3.037054E-01 9.776126E-03 2.939393E-02 2.898557E-03 +1.117698E+01 3.026120E-01 9.840488E-03 2.923432E-02 2.863637E-03 +1.117933E+01 3.015243E-01 9.905363E-03 2.907556E-02 2.829034E-03 +1.118168E+01 3.004423E-01 9.970758E-03 2.891766E-02 2.794747E-03 +1.118403E+01 2.993659E-01 1.003668E-02 2.876060E-02 2.760774E-03 +1.118639E+01 2.982950E-01 1.010313E-02 2.860437E-02 2.727116E-03 +1.118875E+01 2.972296E-01 1.017011E-02 2.844898E-02 2.693771E-03 +1.119111E+01 2.961698E-01 1.023764E-02 2.829441E-02 2.660739E-03 +1.119348E+01 2.951154E-01 1.030572E-02 2.814067E-02 2.628019E-03 +1.119585E+01 2.940664E-01 1.037435E-02 2.798773E-02 2.595611E-03 +1.119822E+01 2.930227E-01 1.044354E-02 2.783561E-02 2.563513E-03 +1.120059E+01 2.919844E-01 1.051329E-02 2.768428E-02 2.531726E-03 +1.120297E+01 2.909515E-01 1.058362E-02 2.753376E-02 2.500248E-03 +1.120535E+01 2.899237E-01 1.065453E-02 2.738402E-02 2.469080E-03 +1.120774E+01 2.889013E-01 1.072602E-02 2.723506E-02 2.438221E-03 +1.121012E+01 2.878840E-01 1.079811E-02 2.708688E-02 2.407670E-03 +1.121251E+01 2.868719E-01 1.087079E-02 2.693948E-02 2.377428E-03 +1.121490E+01 2.858649E-01 1.094408E-02 2.679284E-02 2.347494E-03 +1.121730E+01 2.848630E-01 1.101798E-02 2.664696E-02 2.317867E-03 +1.121969E+01 2.838662E-01 1.109250E-02 2.650184E-02 2.288547E-03 +1.122209E+01 2.828744E-01 1.116765E-02 2.635747E-02 2.259535E-03 +1.122450E+01 2.818875E-01 1.124343E-02 2.621384E-02 2.230829E-03 +1.122690E+01 2.809057E-01 1.131985E-02 2.607095E-02 2.202430E-03 +1.122931E+01 2.799288E-01 1.139691E-02 2.592880E-02 2.174338E-03 +1.123172E+01 2.789568E-01 1.147464E-02 2.578737E-02 2.146553E-03 +1.123414E+01 2.779896E-01 1.155302E-02 2.564666E-02 2.119074E-03 +1.123656E+01 2.770273E-01 1.163208E-02 2.550668E-02 2.091902E-03 +1.123898E+01 2.760698E-01 1.171181E-02 2.536740E-02 2.065036E-03 +1.124140E+01 2.751170E-01 1.179224E-02 2.522883E-02 2.038478E-03 +1.124383E+01 2.741690E-01 1.187335E-02 2.509097E-02 2.012226E-03 +1.124626E+01 2.732257E-01 1.195517E-02 2.495380E-02 1.986282E-03 +1.124869E+01 2.722871E-01 1.203770E-02 2.481732E-02 1.960645E-03 +1.125112E+01 2.713531E-01 1.212095E-02 2.468153E-02 1.935315E-03 +1.125356E+01 2.704237E-01 1.220492E-02 2.454642E-02 1.910294E-03 +1.125600E+01 2.694989E-01 1.228963E-02 2.441199E-02 1.885581E-03 +1.125845E+01 2.685787E-01 1.237509E-02 2.427822E-02 1.861176E-03 +1.126089E+01 2.676630E-01 1.246131E-02 2.414513E-02 1.837081E-03 +1.126334E+01 2.667518E-01 1.254828E-02 2.401270E-02 1.813296E-03 +1.126580E+01 2.658451E-01 1.263603E-02 2.388092E-02 1.789821E-03 +1.126825E+01 2.649428E-01 1.272456E-02 2.374980E-02 1.766656E-03 +1.127071E+01 2.640449E-01 1.281389E-02 2.361932E-02 1.743803E-03 +1.127317E+01 2.631515E-01 1.290401E-02 2.348949E-02 1.721263E-03 +1.127564E+01 2.622623E-01 1.299495E-02 2.336029E-02 1.699035E-03 +1.127810E+01 2.613775E-01 1.308670E-02 2.323173E-02 1.677121E-03 +1.128057E+01 2.604970E-01 1.317929E-02 2.310380E-02 1.655522E-03 +1.128305E+01 2.596208E-01 1.327272E-02 2.297649E-02 1.634238E-03 +1.128552E+01 2.587488E-01 1.336701E-02 2.284980E-02 1.613270E-03 +1.128800E+01 2.578810E-01 1.346215E-02 2.272372E-02 1.592620E-03 +1.129048E+01 2.570174E-01 1.355818E-02 2.259826E-02 1.572289E-03 +1.129297E+01 2.561580E-01 1.365508E-02 2.247340E-02 1.552277E-03 +1.129546E+01 2.553028E-01 1.375288E-02 2.234914E-02 1.532586E-03 +1.129795E+01 2.544516E-01 1.385159E-02 2.222548E-02 1.513217E-03 +1.130044E+01 2.536045E-01 1.395122E-02 2.210242E-02 1.494171E-03 +1.130294E+01 2.527615E-01 1.405179E-02 2.197994E-02 1.475450E-03 +1.130544E+01 2.519225E-01 1.415329E-02 2.185805E-02 1.457054E-03 +1.130794E+01 2.510876E-01 1.425575E-02 2.173674E-02 1.438987E-03 +1.131045E+01 2.502566E-01 1.435918E-02 2.161600E-02 1.421248E-03 +1.131296E+01 2.494296E-01 1.446359E-02 2.149583E-02 1.403841E-03 +1.131547E+01 2.486065E-01 1.456899E-02 2.137623E-02 1.386765E-03 +1.131798E+01 2.477873E-01 1.467540E-02 2.125720E-02 1.370024E-03 +1.132050E+01 2.469720E-01 1.478283E-02 2.113872E-02 1.353618E-03 +1.132302E+01 2.461606E-01 1.489129E-02 2.102080E-02 1.337550E-03 +1.132555E+01 2.453530E-01 1.500080E-02 2.090343E-02 1.321822E-03 +1.132808E+01 2.445493E-01 1.511137E-02 2.078661E-02 1.306436E-03 +1.133061E+01 2.437493E-01 1.522301E-02 2.067033E-02 1.291393E-03 +1.133314E+01 2.429531E-01 1.533575E-02 2.055459E-02 1.276697E-03 +1.133568E+01 2.421606E-01 1.544959E-02 2.043938E-02 1.262349E-03 +1.133821E+01 2.413719E-01 1.556455E-02 2.032471E-02 1.248351E-03 +1.134076E+01 2.405868E-01 1.568064E-02 2.021056E-02 1.234706E-03 +1.134330E+01 2.398054E-01 1.579789E-02 2.009693E-02 1.221416E-03 +1.134585E+01 2.390277E-01 1.591630E-02 1.998383E-02 1.208485E-03 +1.134840E+01 2.382536E-01 1.603590E-02 1.987124E-02 1.195914E-03 +1.135096E+01 2.374832E-01 1.615669E-02 1.975916E-02 1.183707E-03 +1.135351E+01 2.367163E-01 1.627870E-02 1.964759E-02 1.171865E-03 +1.135608E+01 2.359530E-01 1.640195E-02 1.953652E-02 1.160393E-03 +1.135864E+01 2.351932E-01 1.652644E-02 1.942596E-02 1.149293E-03 +1.136121E+01 2.344369E-01 1.665220E-02 1.931589E-02 1.138569E-03 +1.136378E+01 2.336842E-01 1.677925E-02 1.920631E-02 1.128222E-03 +1.136635E+01 2.329349E-01 1.690760E-02 1.909722E-02 1.118258E-03 +1.136893E+01 2.321890E-01 1.703728E-02 1.898862E-02 1.108679E-03 +1.137150E+01 2.314467E-01 1.716829E-02 1.888050E-02 1.099488E-03 +1.137409E+01 2.307077E-01 1.730067E-02 1.877286E-02 1.090690E-03 +1.137667E+01 2.299721E-01 1.743443E-02 1.866570E-02 1.082287E-03 +1.137926E+01 2.292399E-01 1.756959E-02 1.855900E-02 1.074285E-03 +1.138185E+01 2.285111E-01 1.770618E-02 1.845278E-02 1.066686E-03 +1.138445E+01 2.277856E-01 1.784420E-02 1.834701E-02 1.059496E-03 +1.138705E+01 2.270634E-01 1.798369E-02 1.824171E-02 1.052717E-03 +1.138965E+01 2.263445E-01 1.812467E-02 1.813687E-02 1.046355E-03 +1.139225E+01 2.256289E-01 1.826716E-02 1.803248E-02 1.040414E-03 +1.139486E+01 2.249165E-01 1.841117E-02 1.792854E-02 1.034898E-03 +1.139747E+01 2.242074E-01 1.855674E-02 1.782505E-02 1.029813E-03 +1.140008E+01 2.235015E-01 1.870389E-02 1.772200E-02 1.025162E-03 +1.140270E+01 2.227987E-01 1.885264E-02 1.761939E-02 1.020952E-03 +1.140532E+01 2.220992E-01 1.900301E-02 1.751722E-02 1.017187E-03 +1.140794E+01 2.214028E-01 1.915504E-02 1.741548E-02 1.013872E-03 +1.141057E+01 2.207096E-01 1.930874E-02 1.731417E-02 1.011012E-03 +1.141320E+01 2.200195E-01 1.946414E-02 1.721329E-02 1.008615E-03 +1.141583E+01 2.193325E-01 1.962127E-02 1.711283E-02 1.006684E-03 +1.141847E+01 2.186486E-01 1.978016E-02 1.701280E-02 1.005227E-03 +1.142110E+01 2.179677E-01 1.994084E-02 1.691318E-02 1.004248E-03 +1.142375E+01 2.172899E-01 2.010332E-02 1.681397E-02 1.003756E-03 +1.142639E+01 2.166151E-01 2.026764E-02 1.671518E-02 1.003754E-03 +1.142904E+01 2.159434E-01 2.043384E-02 1.661679E-02 1.004252E-03 +1.143169E+01 2.152746E-01 2.060193E-02 1.651881E-02 1.005254E-03 +1.143435E+01 2.146089E-01 2.077196E-02 1.642123E-02 1.006769E-03 +1.143700E+01 2.139460E-01 2.094394E-02 1.632405E-02 1.008803E-03 +1.143967E+01 2.132862E-01 2.111792E-02 1.622726E-02 1.011364E-03 +1.144233E+01 2.126292E-01 2.129393E-02 1.613087E-02 1.014459E-03 +1.144500E+01 2.119752E-01 2.147200E-02 1.603486E-02 1.018097E-03 +1.144767E+01 2.113241E-01 2.165216E-02 1.593924E-02 1.022284E-03 +1.145034E+01 2.106758E-01 2.183445E-02 1.584400E-02 1.027030E-03 +1.145302E+01 2.100304E-01 2.201890E-02 1.574915E-02 1.032343E-03 +1.145570E+01 2.093878E-01 2.220555E-02 1.565466E-02 1.038231E-03 +1.145838E+01 2.087481E-01 2.239444E-02 1.556056E-02 1.044704E-03 +1.146107E+01 2.081112E-01 2.258561E-02 1.546682E-02 1.051771E-03 +1.146376E+01 2.074771E-01 2.277909E-02 1.537345E-02 1.059441E-03 +1.146645E+01 2.068457E-01 2.297492E-02 1.528045E-02 1.067725E-03 +1.146915E+01 2.062171E-01 2.317315E-02 1.518780E-02 1.076631E-03 +1.147185E+01 2.055913E-01 2.337382E-02 1.509552E-02 1.086171E-03 +1.147455E+01 2.049682E-01 2.357696E-02 1.500359E-02 1.096355E-03 +1.147726E+01 2.043478E-01 2.378263E-02 1.491202E-02 1.107193E-03 +1.147997E+01 2.037301E-01 2.399086E-02 1.482079E-02 1.118698E-03 +1.148268E+01 2.031151E-01 2.420170E-02 1.472992E-02 1.130881E-03 +1.148540E+01 2.025028E-01 2.441520E-02 1.463938E-02 1.143753E-03 +1.148812E+01 2.018931E-01 2.463141E-02 1.454919E-02 1.157327E-03 +1.149084E+01 2.012861E-01 2.485038E-02 1.445934E-02 1.171616E-03 +1.149357E+01 2.006817E-01 2.507214E-02 1.436982E-02 1.186632E-03 +1.149630E+01 2.000799E-01 2.529676E-02 1.428064E-02 1.202388E-03 +1.149903E+01 1.994806E-01 2.552430E-02 1.419178E-02 1.218899E-03 +1.150177E+01 1.988840E-01 2.575479E-02 1.410326E-02 1.236178E-03 +1.150451E+01 1.982899E-01 2.598830E-02 1.401505E-02 1.254240E-03 +1.150725E+01 1.976984E-01 2.622488E-02 1.392717E-02 1.273101E-03 +1.150999E+01 1.971095E-01 2.646459E-02 1.383961E-02 1.292774E-03 +1.151274E+01 1.965230E-01 2.670748E-02 1.375237E-02 1.313276E-03 +1.151550E+01 1.959391E-01 2.695363E-02 1.366543E-02 1.334624E-03 +1.151825E+01 1.953576E-01 2.720309E-02 1.357881E-02 1.356834E-03 +1.152101E+01 1.947787E-01 2.745593E-02 1.349250E-02 1.379924E-03 +1.152377E+01 1.942022E-01 2.771220E-02 1.340649E-02 1.403911E-03 +1.152654E+01 1.936281E-01 2.797198E-02 1.332079E-02 1.428813E-03 +1.152931E+01 1.930565E-01 2.823534E-02 1.323538E-02 1.454650E-03 +1.153208E+01 1.924873E-01 2.850234E-02 1.315027E-02 1.481441E-03 +1.153486E+01 1.919205E-01 2.877306E-02 1.306546E-02 1.509206E-03 +1.153764E+01 1.913562E-01 2.904756E-02 1.298093E-02 1.537966E-03 +1.154042E+01 1.907942E-01 2.932594E-02 1.289670E-02 1.567742E-03 +1.154321E+01 1.902346E-01 2.960826E-02 1.281275E-02 1.598555E-03 +1.154600E+01 1.896773E-01 2.989460E-02 1.272909E-02 1.630429E-03 +1.154879E+01 1.891224E-01 3.018506E-02 1.264571E-02 1.663387E-03 +1.155159E+01 1.885698E-01 3.047970E-02 1.256260E-02 1.697453E-03 +1.155439E+01 1.880196E-01 3.077862E-02 1.247977E-02 1.732652E-03 +1.155719E+01 1.874716E-01 3.108190E-02 1.239722E-02 1.769009E-03 +1.155999E+01 1.869260E-01 3.138964E-02 1.231493E-02 1.806550E-03 +1.156280E+01 1.863826E-01 3.170194E-02 1.223292E-02 1.845304E-03 +1.156562E+01 1.858415E-01 3.201887E-02 1.215117E-02 1.885298E-03 +1.156843E+01 1.853027E-01 3.234056E-02 1.206968E-02 1.926560E-03 +1.157125E+01 1.847661E-01 3.266709E-02 1.198845E-02 1.969122E-03 +1.157408E+01 1.842317E-01 3.299858E-02 1.190748E-02 2.013013E-03 +1.157691E+01 1.836996E-01 3.333513E-02 1.182676E-02 2.058266E-03 +1.157974E+01 1.831697E-01 3.367684E-02 1.174630E-02 2.104914E-03 +1.158257E+01 1.826419E-01 3.402384E-02 1.166608E-02 2.152991E-03 +1.158541E+01 1.821164E-01 3.437624E-02 1.158611E-02 2.202531E-03 +1.158825E+01 1.815930E-01 3.473417E-02 1.150639E-02 2.253571E-03 +1.159109E+01 1.810718E-01 3.509774E-02 1.142691E-02 2.306150E-03 +1.159394E+01 1.805527E-01 3.546708E-02 1.134767E-02 2.360304E-03 +1.159679E+01 1.800358E-01 3.584233E-02 1.126867E-02 2.416075E-03 +1.159965E+01 1.795210E-01 3.622363E-02 1.118990E-02 2.473504E-03 +1.160250E+01 1.790083E-01 3.661110E-02 1.111136E-02 2.532634E-03 +1.160537E+01 1.784977E-01 3.700489E-02 1.103305E-02 2.593509E-03 +1.160823E+01 1.779893E-01 3.740516E-02 1.095497E-02 2.656175E-03 +1.161110E+01 1.774829E-01 3.781205E-02 1.087711E-02 2.720679E-03 +1.161397E+01 1.769785E-01 3.822573E-02 1.079947E-02 2.787071E-03 +1.161685E+01 1.764762E-01 3.864635E-02 1.072205E-02 2.855401E-03 +1.161973E+01 1.759760E-01 3.907408E-02 1.064485E-02 2.925723E-03 +1.162261E+01 1.754778E-01 3.950910E-02 1.056786E-02 2.998089E-03 +1.162549E+01 1.749817E-01 3.995158E-02 1.049109E-02 3.072557E-03 +1.162838E+01 1.744875E-01 4.040171E-02 1.041452E-02 3.149186E-03 +1.163128E+01 1.739954E-01 4.085967E-02 1.033816E-02 3.228035E-03 +1.163417E+01 1.735052E-01 4.132567E-02 1.026200E-02 3.309168E-03 +1.163707E+01 1.730171E-01 4.179990E-02 1.018605E-02 3.392650E-03 +1.163998E+01 1.725309E-01 4.228258E-02 1.011029E-02 3.478548E-03 +1.164288E+01 1.720467E-01 4.277392E-02 1.003473E-02 3.566932E-03 +1.164580E+01 1.715644E-01 4.327415E-02 9.959363E-03 3.657875E-03 +1.164871E+01 1.710840E-01 4.378349E-02 9.884187E-03 3.751451E-03 +1.165163E+01 1.706056E-01 4.430218E-02 9.809199E-03 3.847740E-03 +1.165455E+01 1.701292E-01 4.483048E-02 9.734398E-03 3.946823E-03 +1.165747E+01 1.696546E-01 4.536864E-02 9.659779E-03 4.048783E-03 +1.166040E+01 1.691819E-01 4.591691E-02 9.585342E-03 4.153708E-03 +1.166334E+01 1.687112E-01 4.647559E-02 9.511083E-03 4.261689E-03 +1.166627E+01 1.682423E-01 4.704494E-02 9.437000E-03 4.372821E-03 +1.166921E+01 1.677752E-01 4.762526E-02 9.363090E-03 4.487202E-03 +1.167215E+01 1.673101E-01 4.821687E-02 9.289351E-03 4.604933E-03 +1.167510E+01 1.668468E-01 4.882006E-02 9.215780E-03 4.726122E-03 +1.167805E+01 1.663853E-01 4.943518E-02 9.142375E-03 4.850879E-03 +1.168100E+01 1.659257E-01 5.006256E-02 9.069132E-03 4.979318E-03 +1.168396E+01 1.654679E-01 5.070254E-02 8.996050E-03 5.111560E-03 +1.168692E+01 1.650119E-01 5.135550E-02 8.923126E-03 5.247729E-03 +1.168989E+01 1.645577E-01 5.202182E-02 8.850357E-03 5.387955E-03 +1.169285E+01 1.641053E-01 5.270188E-02 8.777740E-03 5.532374E-03 +1.169583E+01 1.636547E-01 5.339610E-02 8.705274E-03 5.681126E-03 +1.169880E+01 1.632059E-01 5.410490E-02 8.632955E-03 5.834358E-03 +1.170178E+01 1.627588E-01 5.482872E-02 8.560781E-03 5.992224E-03 +1.170476E+01 1.623135E-01 5.556802E-02 8.488749E-03 6.154883E-03 +1.170775E+01 1.618700E-01 5.632327E-02 8.416856E-03 6.322504E-03 +1.171074E+01 1.614282E-01 5.709498E-02 8.345101E-03 6.495259E-03 +1.171373E+01 1.609881E-01 5.788365E-02 8.273480E-03 6.673331E-03 +1.171673E+01 1.605498E-01 5.868983E-02 8.201990E-03 6.856911E-03 +1.171973E+01 1.601131E-01 5.951407E-02 8.130630E-03 7.046196E-03 +1.172274E+01 1.596782E-01 6.035695E-02 8.059395E-03 7.241395E-03 +1.172575E+01 1.592450E-01 6.121909E-02 7.988285E-03 7.442726E-03 +1.172876E+01 1.588134E-01 6.210111E-02 7.917295E-03 7.650414E-03 +1.173178E+01 1.583836E-01 6.300369E-02 7.846424E-03 7.864699E-03 +1.173480E+01 1.579554E-01 6.392749E-02 7.775668E-03 8.085830E-03 +1.173782E+01 1.575288E-01 6.487325E-02 7.705025E-03 8.314067E-03 +1.174085E+01 1.571039E-01 6.584172E-02 7.634492E-03 8.549685E-03 +1.174388E+01 1.566807E-01 6.683367E-02 7.564066E-03 8.792969E-03 +1.174691E+01 1.562591E-01 6.784994E-02 7.493745E-03 9.044222E-03 +1.174995E+01 1.558391E-01 6.889137E-02 7.423526E-03 9.303758E-03 +1.175299E+01 1.554208E-01 6.995887E-02 7.353406E-03 9.571909E-03 +1.175604E+01 1.550041E-01 7.105336E-02 7.283382E-03 9.849023E-03 +1.175909E+01 1.545889E-01 7.217585E-02 7.213451E-03 1.013547E-02 +1.176214E+01 1.541754E-01 7.332734E-02 7.143611E-03 1.043162E-02 +1.176520E+01 1.537635E-01 7.450893E-02 7.073859E-03 1.073789E-02 +1.176826E+01 1.533531E-01 7.572174E-02 7.004192E-03 1.105471E-02 +1.177132E+01 1.529443E-01 7.696696E-02 6.934606E-03 1.138252E-02 +1.177439E+01 1.525371E-01 7.824583E-02 6.865100E-03 1.172179E-02 +1.177746E+01 1.521314E-01 7.955967E-02 6.795670E-03 1.207301E-02 +1.178054E+01 1.517273E-01 8.090984E-02 6.726313E-03 1.243673E-02 +1.178362E+01 1.513247E-01 8.229780E-02 6.657026E-03 1.281348E-02 +1.178670E+01 1.509237E-01 8.372505E-02 6.587807E-03 1.320385E-02 +1.178979E+01 1.505242E-01 8.519321E-02 6.518653E-03 1.360846E-02 +1.179288E+01 1.501262E-01 8.670394E-02 6.449559E-03 1.402795E-02 +1.179598E+01 1.497297E-01 8.825903E-02 6.380524E-03 1.446303E-02 +1.179907E+01 1.493347E-01 8.986035E-02 6.311545E-03 1.491442E-02 +1.180218E+01 1.489412E-01 9.150987E-02 6.242617E-03 1.538288E-02 +1.180528E+01 1.485492E-01 9.320968E-02 6.173739E-03 1.586924E-02 +1.180839E+01 1.481587E-01 9.496196E-02 6.104906E-03 1.637437E-02 +1.181151E+01 1.477697E-01 9.676906E-02 6.036117E-03 1.689918E-02 +1.181463E+01 1.473821E-01 9.863343E-02 5.967367E-03 1.744465E-02 +1.181775E+01 1.469960E-01 1.005577E-01 5.898654E-03 1.801182E-02 +1.182087E+01 1.466113E-01 1.025445E-01 5.829974E-03 1.860180E-02 +1.182400E+01 1.462281E-01 1.045970E-01 5.761324E-03 1.921574E-02 +1.182714E+01 1.458463E-01 1.067181E-01 5.692701E-03 1.985491E-02 +1.183027E+01 1.454660E-01 1.089111E-01 5.624102E-03 2.052064E-02 +1.183341E+01 1.450871E-01 1.111796E-01 5.555523E-03 2.121433E-02 +1.183656E+01 1.447096E-01 1.135272E-01 5.486960E-03 2.193752E-02 +1.183971E+01 1.443335E-01 1.159580E-01 5.418411E-03 2.269180E-02 +1.184286E+01 1.439588E-01 1.184761E-01 5.349872E-03 2.347892E-02 +1.184602E+01 1.435855E-01 1.210861E-01 5.281339E-03 2.430073E-02 +1.184918E+01 1.432136E-01 1.237926E-01 5.212810E-03 2.515919E-02 +1.185234E+01 1.428430E-01 1.266010E-01 5.144280E-03 2.605644E-02 +1.185551E+01 1.424739E-01 1.295165E-01 5.075746E-03 2.699476E-02 +1.185869E+01 1.421061E-01 1.325452E-01 5.007205E-03 2.797658E-02 +1.186186E+01 1.417397E-01 1.356932E-01 4.938652E-03 2.900454E-02 +1.186504E+01 1.413747E-01 1.389673E-01 4.870085E-03 3.008147E-02 +1.186823E+01 1.410110E-01 1.423746E-01 4.801499E-03 3.121041E-02 +1.187142E+01 1.406486E-01 1.459231E-01 4.732890E-03 3.239466E-02 +1.187461E+01 1.402876E-01 1.496209E-01 4.664256E-03 3.363776E-02 +1.187780E+01 1.399279E-01 1.534772E-01 4.595591E-03 3.494355E-02 +1.188100E+01 1.395695E-01 1.575015E-01 4.526893E-03 3.631618E-02 +1.188421E+01 1.392125E-01 1.617044E-01 4.458157E-03 3.776015E-02 +1.188742E+01 1.388567E-01 1.660971E-01 4.389380E-03 3.928033E-02 +1.189063E+01 1.385023E-01 1.706919E-01 4.320557E-03 4.088204E-02 +1.189384E+01 1.381491E-01 1.755020E-01 4.251684E-03 4.257105E-02 +1.189707E+01 1.377973E-01 1.805419E-01 4.182757E-03 4.435362E-02 +1.190029E+01 1.374467E-01 1.858273E-01 4.113772E-03 4.623664E-02 +1.190352E+01 1.370975E-01 1.913750E-01 4.044726E-03 4.822757E-02 +1.190675E+01 1.367495E-01 1.972038E-01 3.975612E-03 5.033463E-02 +1.190999E+01 1.364027E-01 2.033339E-01 3.906428E-03 5.256680E-02 +1.191323E+01 1.360573E-01 2.097874E-01 3.837169E-03 5.493395E-02 +1.191647E+01 1.357130E-01 2.165888E-01 3.767831E-03 5.744693E-02 +1.191972E+01 1.353701E-01 2.237647E-01 3.698408E-03 6.011771E-02 +1.192297E+01 1.350284E-01 2.313445E-01 3.628897E-03 6.295949E-02 +1.192623E+01 1.346879E-01 2.393604E-01 3.559293E-03 6.598688E-02 +1.192949E+01 1.343486E-01 2.478484E-01 3.489591E-03 6.921608E-02 +1.193275E+01 1.340106E-01 2.568478E-01 3.419787E-03 7.266506E-02 +1.193602E+01 1.336738E-01 2.664026E-01 3.349875E-03 7.635386E-02 +1.193930E+01 1.333382E-01 2.765616E-01 3.279851E-03 8.030483E-02 +1.194257E+01 1.330038E-01 2.873789E-01 3.209710E-03 8.454295E-02 +1.194585E+01 1.326707E-01 2.989154E-01 3.139447E-03 8.909626E-02 +1.194914E+01 1.323387E-01 3.112390E-01 3.069057E-03 9.399629E-02 +1.195243E+01 1.320079E-01 3.244261E-01 2.998535E-03 9.927856E-02 +1.195572E+01 1.316783E-01 3.385627E-01 2.927874E-03 1.049833E-01 +1.195902E+01 1.313499E-01 3.537460E-01 2.857071E-03 1.111560E-01 +1.196232E+01 1.310227E-01 3.700861E-01 2.786120E-03 1.178487E-01 +1.196563E+01 1.306966E-01 3.877085E-01 2.715015E-03 1.251204E-01 +1.196894E+01 1.303717E-01 4.067560E-01 2.643751E-03 1.330392E-01 +1.197225E+01 1.300480E-01 4.273927E-01 2.572322E-03 1.416831E-01 +1.197557E+01 1.297254E-01 4.498071E-01 2.500722E-03 1.511421E-01 +1.197889E+01 1.294039E-01 4.742170E-01 2.428945E-03 1.615210E-01 +1.198222E+01 1.290836E-01 5.008750E-01 2.356987E-03 1.729415E-01 +1.198555E+01 1.287645E-01 5.300760E-01 2.284839E-03 1.855461E-01 +1.198888E+01 1.284465E-01 5.621651E-01 2.212497E-03 1.995027E-01 +1.199222E+01 1.281296E-01 5.975492E-01 2.139954E-03 2.150094E-01 +1.199557E+01 1.278138E-01 6.367105E-01 2.067204E-03 2.323025E-01 +1.199892E+01 1.274991E-01 6.802237E-01 1.994241E-03 2.516644E-01 +1.200227E+01 1.271856E-01 7.287788E-01 1.921057E-03 2.734356E-01 +1.200562E+01 1.268732E-01 7.832100E-01 1.847646E-03 2.980293E-01 +1.200898E+01 1.265618E-01 8.445337E-01 1.774001E-03 3.259512E-01 +1.201235E+01 1.262516E-01 9.139987E-01 1.700116E-03 3.578248E-01 +1.201572E+01 1.259425E-01 9.931534E-01 1.625983E-03 3.944266E-01 +1.201909E+01 1.256344E-01 1.083937E+00 1.551595E-03 4.367327E-01 +1.202247E+01 1.253274E-01 1.188805E+00 1.476945E-03 4.859843E-01 +1.202585E+01 1.250215E-01 1.310905E+00 1.402026E-03 5.437783E-01 +1.202923E+01 1.247167E-01 1.454324E+00 1.326829E-03 6.121974E-01 +1.203262E+01 1.244129E-01 1.624449E+00 1.251347E-03 6.939979E-01 +1.203602E+01 1.241102E-01 1.828502E+00 1.175573E-03 7.928894E-01 +1.203942E+01 1.238086E-01 2.076345E+00 1.099497E-03 9.139588E-01 +1.204282E+01 1.235080E-01 2.381739E+00 1.023113E-03 1.064332E+00 +1.204623E+01 1.232085E-01 2.764353E+00 9.464109E-04 1.254239E+00 +1.204964E+01 1.229100E-01 3.253119E+00 8.693829E-04 1.498786E+00 +1.205306E+01 1.226125E-01 3.892016E+00 7.920202E-04 1.821034E+00 +1.205648E+01 1.223161E-01 4.750603E+00 7.143140E-04 2.257606E+00 +1.205990E+01 1.220207E-01 5.944259E+00 6.362552E-04 2.869507E+00 +1.206333E+01 1.217263E-01 7.676000E+00 5.578345E-04 3.764529E+00 +1.206676E+01 1.214330E-01 1.033079E+01 4.790424E-04 5.147933E+00 +1.207020E+01 1.211407E-01 1.471398E+01 3.998694E-04 7.450965E+00 +1.207364E+01 1.208493E-01 2.275464E+01 3.203056E-04 1.171108E+01 +1.207709E+01 1.205590E-01 4.009797E+01 2.403409E-04 2.097766E+01 +1.208054E+01 1.202697E-01 8.979482E+01 1.599650E-04 4.775943E+01 +1.208399E+01 1.769671E-01 5.363591E+02 1.167685E-04 2.900708E+02 +1.209083E+01 1.790845E-01 5.041494E+02 1.224661E-04 2.819109E+02 +1.209430E+01 1.191296E-01 8.286491E+01 1.637777E-04 4.713870E+01 +1.209777E+01 1.188452E-01 3.630436E+01 2.463598E-04 2.101341E+01 +1.210125E+01 1.185617E-01 2.012566E+01 3.294196E-04 1.185489E+01 +1.210473E+01 1.182793E-01 1.269096E+01 4.129688E-04 7.609101E+00 +1.210821E+01 1.179978E-01 8.681398E+00 4.970200E-04 5.299123E+00 +1.211170E+01 1.177173E-01 6.281220E+00 5.815856E-04 3.904099E+00 +1.211520E+01 1.174377E-01 4.734732E+00 6.666785E-04 2.997261E+00 +1.211870E+01 1.171591E-01 3.682223E+00 7.523120E-04 2.374567E+00 +1.212220E+01 1.168814E-01 2.934918E+00 8.384995E-04 1.928464E+00 +1.212571E+01 1.166047E-01 2.386105E+00 9.252549E-04 1.597885E+00 +1.212922E+01 1.163289E-01 1.971814E+00 1.012592E-03 1.346061E+00 +1.213274E+01 1.160541E-01 1.651833E+00 1.100526E-03 1.149778E+00 +1.213626E+01 1.157802E-01 1.399873E+00 1.189072E-03 9.937903E-01 +1.213979E+01 1.155072E-01 1.198168E+00 1.278244E-03 8.677518E-01 +1.214332E+01 1.152351E-01 1.034368E+00 1.368059E-03 7.644377E-01 +1.214685E+01 1.149640E-01 8.996780E-01 1.458532E-03 6.786799E-01 +1.215039E+01 1.146938E-01 7.877003E-01 1.549680E-03 6.067018E-01 +1.215394E+01 1.144245E-01 6.936912E-01 1.641521E-03 5.456914E-01 +1.215748E+01 1.141561E-01 6.140764E-01 1.734070E-03 4.935201E-01 +1.216104E+01 1.138886E-01 5.461217E-01 1.827346E-03 4.485523E-01 +1.216459E+01 1.136220E-01 4.877078E-01 1.921368E-03 4.095148E-01 +1.216816E+01 1.133563E-01 4.371720E-01 2.016154E-03 3.754038E-01 +1.217172E+01 1.130915E-01 3.931957E-01 2.111724E-03 3.454199E-01 +1.217530E+01 1.128276E-01 3.547224E-01 2.208097E-03 3.189197E-01 +1.217887E+01 1.125645E-01 3.208982E-01 2.305293E-03 2.953806E-01 +1.218245E+01 1.123024E-01 2.910269E-01 2.403335E-03 2.743748E-01 +1.218604E+01 1.120411E-01 2.645366E-01 2.502242E-03 2.555491E-01 +1.218963E+01 1.117807E-01 2.409539E-01 2.602038E-03 2.386099E-01 +1.219322E+01 1.115212E-01 2.198847E-01 2.702745E-03 2.233117E-01 +1.219682E+01 1.112625E-01 2.009986E-01 2.804387E-03 2.094475E-01 +1.220042E+01 1.110047E-01 1.840171E-01 2.906988E-03 1.968422E-01 +1.220403E+01 1.107478E-01 1.687041E-01 3.010573E-03 1.853467E-01 +1.220764E+01 1.104917E-01 1.548586E-01 3.115167E-03 1.748332E-01 +1.221126E+01 1.102364E-01 1.423086E-01 3.220797E-03 1.651922E-01 +1.221488E+01 1.099820E-01 1.309061E-01 3.327490E-03 1.563286E-01 +1.221851E+01 1.097285E-01 1.205234E-01 3.435275E-03 1.481604E-01 +1.222214E+01 1.094758E-01 1.110498E-01 3.544179E-03 1.406160E-01 +1.222578E+01 1.092239E-01 1.023891E-01 3.654233E-03 1.336326E-01 +1.222942E+01 1.089729E-01 9.445729E-02 3.765468E-03 1.271555E-01 +1.223306E+01 1.087226E-01 8.718063E-02 3.877915E-03 1.211363E-01 +1.223671E+01 1.084733E-01 8.049447E-02 3.991607E-03 1.155322E-01 +1.224037E+01 1.082247E-01 7.434179E-02 4.106577E-03 1.103056E-01 +1.224403E+01 1.079769E-01 6.867218E-02 4.222862E-03 1.054228E-01 +1.224769E+01 1.077300E-01 6.344098E-02 4.340497E-03 1.008538E-01 +1.225136E+01 1.074839E-01 5.860846E-02 4.459519E-03 9.657208E-02 +1.225504E+01 1.072386E-01 5.413928E-02 4.579967E-03 9.255356E-02 +1.225871E+01 1.069941E-01 5.000184E-02 4.701880E-03 8.877682E-02 +1.226240E+01 1.067504E-01 4.616788E-02 4.825300E-03 8.522251E-02 +1.226609E+01 1.065075E-01 4.261205E-02 4.950270E-03 8.187322E-02 +1.226978E+01 1.062653E-01 3.931156E-02 5.076833E-03 7.871320E-02 +1.227348E+01 1.060240E-01 3.624589E-02 5.205035E-03 7.572820E-02 +1.227718E+01 1.057835E-01 3.339653E-02 5.334925E-03 7.290527E-02 +1.228089E+01 1.055437E-01 3.074675E-02 5.466550E-03 7.023267E-02 +1.228460E+01 1.053048E-01 2.828141E-02 5.599961E-03 6.769968E-02 +1.228831E+01 1.050666E-01 2.598677E-02 5.735212E-03 6.529654E-02 +1.229204E+01 1.048292E-01 2.385035E-02 5.872357E-03 6.301432E-02 +1.229576E+01 1.045925E-01 2.186080E-02 6.011453E-03 6.084486E-02 +1.229949E+01 1.043566E-01 2.000780E-02 6.152559E-03 5.878066E-02 +1.230323E+01 1.041215E-01 1.828191E-02 6.295735E-03 5.681485E-02 +1.230697E+01 1.038872E-01 1.667454E-02 6.441045E-03 5.494111E-02 +1.231072E+01 1.036536E-01 1.517780E-02 6.588555E-03 5.315363E-02 +1.231447E+01 1.034207E-01 1.378451E-02 6.738335E-03 5.144702E-02 +1.231822E+01 1.031886E-01 1.248806E-02 6.890454E-03 4.981635E-02 +1.232198E+01 1.029573E-01 1.128240E-02 7.044988E-03 4.825703E-02 +1.232575E+01 1.027267E-01 1.016199E-02 7.202014E-03 4.676482E-02 +1.232952E+01 1.024969E-01 9.121715E-03 7.361612E-03 4.533579E-02 +1.233330E+01 1.022677E-01 8.156897E-03 7.523865E-03 4.396630E-02 +1.233708E+01 1.020394E-01 7.263223E-03 7.688862E-03 4.265296E-02 +1.234086E+01 1.018117E-01 6.436729E-03 7.856694E-03 4.139263E-02 +1.234465E+01 1.015848E-01 5.673762E-03 8.027454E-03 4.018238E-02 +1.234845E+01 1.013586E-01 4.970964E-03 8.201244E-03 3.901947E-02 +1.235225E+01 1.011332E-01 4.325239E-03 8.378165E-03 3.790136E-02 +1.235605E+01 1.009084E-01 3.733740E-03 8.558327E-03 3.682567E-02 +1.235986E+01 1.006844E-01 3.193844E-03 8.741842E-03 3.579018E-02 +1.236368E+01 1.004611E-01 2.703138E-03 8.928828E-03 3.479280E-02 +1.236750E+01 1.002385E-01 2.259403E-03 9.119410E-03 3.383160E-02 +1.237132E+01 1.000166E-01 1.860603E-03 9.313716E-03 3.290475E-02 +1.237515E+01 9.979543E-02 1.504866E-03 9.511883E-03 3.201053E-02 +1.237898E+01 9.957496E-02 1.190478E-03 9.714052E-03 3.114734E-02 +1.238282E+01 9.935518E-02 9.158734E-04 9.920373E-03 3.031367E-02 +1.238667E+01 9.913610E-02 6.796209E-04 1.013100E-02 2.950810E-02 +1.239052E+01 9.891772E-02 4.804206E-04 1.034610E-02 2.872929E-02 +1.239437E+01 9.870003E-02 3.170940E-04 1.056585E-02 2.797599E-02 +1.239823E+01 9.848303E-02 1.885781E-04 1.079042E-02 2.724701E-02 +1.240210E+01 9.826671E-02 9.392001E-05 1.102001E-02 2.654124E-02 +1.240597E+01 9.805108E-02 3.227121E-05 1.125481E-02 2.585760E-02 +1.240985E+01 9.783613E-02 2.883618E-06 1.149504E-02 2.519512E-02 +1.241373E+01 9.762185E-02 5.105598E-06 1.174093E-02 2.455284E-02 +1.241761E+01 9.740825E-02 3.837869E-05 1.199270E-02 2.392987E-02 +1.242150E+01 9.719533E-02 1.022349E-04 1.225060E-02 2.332538E-02 +1.242540E+01 9.698307E-02 1.962946E-04 1.251490E-02 2.273856E-02 +1.242930E+01 9.677148E-02 3.202645E-04 1.278588E-02 2.216864E-02 +1.243320E+01 9.656055E-02 4.739370E-04 1.306381E-02 2.161493E-02 +1.243712E+01 9.635029E-02 6.571889E-04 1.334903E-02 2.107672E-02 +1.244103E+01 9.614068E-02 8.699818E-04 1.364184E-02 2.055338E-02 +1.244495E+01 9.593173E-02 1.112362E-03 1.394261E-02 2.004429E-02 +1.244888E+01 9.572344E-02 1.384461E-03 1.425170E-02 1.954886E-02 +1.245281E+01 9.551579E-02 1.686497E-03 1.456950E-02 1.906654E-02 +1.245675E+01 9.530879E-02 2.018778E-03 1.489643E-02 1.859679E-02 +1.246069E+01 9.510244E-02 2.381702E-03 1.523293E-02 1.813912E-02 +1.246464E+01 9.489673E-02 2.775761E-03 1.557949E-02 1.769304E-02 +1.246859E+01 9.469166E-02 3.201546E-03 1.593659E-02 1.725810E-02 +1.247255E+01 9.448723E-02 3.659749E-03 1.630478E-02 1.683385E-02 +1.247651E+01 9.428343E-02 4.151169E-03 1.668464E-02 1.641987E-02 +1.248048E+01 9.408027E-02 4.676719E-03 1.707678E-02 1.601578E-02 +1.248445E+01 9.387774E-02 5.237430E-03 1.748185E-02 1.562119E-02 +1.248843E+01 9.367583E-02 5.834463E-03 1.790057E-02 1.523572E-02 +1.249242E+01 9.347455E-02 6.469114E-03 1.833368E-02 1.485904E-02 +1.249641E+01 9.327389E-02 7.142824E-03 1.878202E-02 1.449081E-02 +1.250040E+01 9.307386E-02 7.857195E-03 1.924644E-02 1.413071E-02 +1.250440E+01 9.287443E-02 8.613995E-03 1.972790E-02 1.377843E-02 +1.250841E+01 9.267563E-02 9.415182E-03 2.022741E-02 1.343369E-02 +1.251242E+01 9.247744E-02 1.026291E-02 2.074607E-02 1.309618E-02 +1.251643E+01 9.227985E-02 1.115957E-02 2.128507E-02 1.276565E-02 +1.252046E+01 9.208288E-02 1.210776E-02 2.184570E-02 1.244184E-02 +1.252448E+01 9.188651E-02 1.311038E-02 2.242937E-02 1.212449E-02 +1.252851E+01 9.169074E-02 1.417060E-02 2.303758E-02 1.181336E-02 +1.253255E+01 9.149558E-02 1.529193E-02 2.367199E-02 1.150822E-02 +1.253660E+01 9.130101E-02 1.647823E-02 2.433442E-02 1.120885E-02 +1.254064E+01 9.110704E-02 1.773376E-02 2.502682E-02 1.091503E-02 +1.254470E+01 9.091366E-02 1.906323E-02 2.575137E-02 1.062655E-02 +1.254876E+01 9.072087E-02 2.047184E-02 2.651042E-02 1.034322E-02 +1.255282E+01 9.052867E-02 2.196535E-02 2.730658E-02 1.006484E-02 +1.255689E+01 9.033706E-02 2.355018E-02 2.814272E-02 9.791222E-03 +1.256097E+01 9.014603E-02 2.523342E-02 2.902200E-02 9.522185E-03 +1.256505E+01 8.995559E-02 2.702299E-02 2.994791E-02 9.257556E-03 +1.256913E+01 8.976572E-02 2.892772E-02 3.092434E-02 8.997163E-03 +1.257323E+01 8.957643E-02 3.095747E-02 3.195560E-02 8.740843E-03 +1.257732E+01 8.938772E-02 3.312331E-02 3.304650E-02 8.488437E-03 +1.258143E+01 8.919957E-02 3.543767E-02 3.420242E-02 8.239788E-03 +1.258553E+01 8.901200E-02 3.791456E-02 3.542938E-02 7.994746E-03 +1.258965E+01 8.882500E-02 4.056979E-02 3.673415E-02 7.753165E-03 +1.259377E+01 8.863856E-02 4.342129E-02 3.812440E-02 7.514902E-03 +1.259789E+01 8.845269E-02 4.648948E-02 3.960876E-02 7.279818E-03 +1.260202E+01 8.826738E-02 4.979761E-02 4.119707E-02 7.047777E-03 +1.260616E+01 8.808263E-02 5.337233E-02 4.290055E-02 6.818645E-03 +1.261030E+01 8.789843E-02 5.724431E-02 4.473203E-02 6.592295E-03 +1.261445E+01 8.771479E-02 6.144894E-02 4.670627E-02 6.368598E-03 +1.261860E+01 8.753171E-02 6.602727E-02 4.884032E-02 6.147430E-03 +1.262276E+01 8.734917E-02 7.102716E-02 5.115398E-02 5.928669E-03 +1.262692E+01 8.716718E-02 7.650467E-02 5.367031E-02 5.712194E-03 +1.263109E+01 8.698574E-02 8.252583E-02 5.641640E-02 5.497888E-03 +1.263527E+01 8.680485E-02 8.916892E-02 5.942420E-02 5.285634E-03 +1.263945E+01 8.662449E-02 9.652722E-02 6.273163E-02 5.075317E-03 +1.264363E+01 8.644468E-02 1.047128E-01 6.638404E-02 4.866823E-03 +1.264783E+01 8.626540E-02 1.138611E-01 7.043602E-02 4.660040E-03 +1.265202E+01 8.608666E-02 1.241373E-01 7.495386E-02 4.454857E-03 +1.265623E+01 8.590846E-02 1.357445E-01 8.001867E-02 4.251163E-03 +1.266044E+01 8.573078E-02 1.489348E-01 8.573072E-02 4.048847E-03 +1.266465E+01 8.555364E-02 1.640245E-01 9.221517E-02 3.847800E-03 +1.266887E+01 8.537702E-02 1.814147E-01 9.963007E-02 3.647912E-03 +1.267310E+01 8.520093E-02 2.016205E-01 1.081775E-01 3.449074E-03 +1.267733E+01 8.502536E-02 2.253129E-01 1.181192E-01 3.251176E-03 +1.268157E+01 8.485032E-02 2.533794E-01 1.298001E-01 3.054108E-03 +1.268581E+01 8.467579E-02 2.870144E-01 1.436818E-01 2.857758E-03 +1.269006E+01 8.450179E-02 3.278575E-01 1.603949E-01 2.662015E-03 +1.269431E+01 8.432830E-02 3.782098E-01 1.808201E-01 2.466766E-03 +1.269857E+01 8.415532E-02 4.413858E-01 2.062191E-01 2.271896E-03 +1.270284E+01 8.398285E-02 5.223052E-01 2.384550E-01 2.077290E-03 +1.270711E+01 8.381090E-02 6.285321E-01 2.803773E-01 1.882830E-03 +1.271139E+01 8.363945E-02 7.722002E-01 3.365318E-01 1.688396E-03 +1.271568E+01 8.346851E-02 9.738025E-01 4.145532E-01 1.493866E-03 +1.271997E+01 8.329807E-02 1.270250E+00 5.281152E-01 1.299113E-03 +1.272426E+01 8.312813E-02 1.733747E+00 7.038105E-01 1.104009E-03 +1.272856E+01 8.295870E-02 2.522010E+00 9.993788E-01 9.084232E-04 +1.273287E+01 8.278976E-02 4.037523E+00 1.561261E+00 7.122184E-04 +1.273718E+01 8.262132E-02 7.584421E+00 2.860912E+00 5.152545E-04 +1.274150E+01 8.245337E-02 1.963358E+01 7.221470E+00 3.173862E-04 +1.274583E+01 8.990519E-02 1.510919E+02 5.416408E+01 1.294322E-04 diff --git a/external/HyRec2020/wrap_hyrec.c b/external/HyRec2020/wrap_hyrec.c new file mode 100644 index 00000000..fa44c774 --- /dev/null +++ b/external/HyRec2020/wrap_hyrec.c @@ -0,0 +1,210 @@ +/** + * Small wrapper file for the hyrec code to be used in thermodynamics + * Nils Schoeneberg Feb 2019 + * */ + +#include "common.h" +#include "thermodynamics.h" +#include "wrap_hyrec.h" + + +/** + * Initialize the thermohyrec structure, and in particular HyRec 2020. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param phy Input/Output: pointer to thermohyrec structure + * @return the error status + */ +int thermodynamics_hyrec_init(struct precision* ppr, struct background * pba, struct thermodynamics * pth, double Nnow, double T_cmb, double fHe, double zstart_hyrec, struct thermohyrec* phy){ + + /** Summary: */ + + if(phy->thermohyrec_verbose > 0){ + printf(" -> Using the hyrec wrapper programmed by Nils Sch. (Oct2020)\n"); + printf(" implements HyRec2 version Oct 2020 by Yacine Ali-Haimoud, Chris Hirata, and Nanoom Lee\n"); + } + + /** - allocate necessary data structures */ + class_alloc(phy->data, + sizeof(HYREC_DATA), + phy->error_message); + + phy->zend = 0.; + phy->zstart = zstart_hyrec; + + if(phy->thermohyrec_verbose > 1){ + printf(" Starting HyRec at z = %.10e until z = %.10e\n",phy->zstart, phy->zend); + } + + /** - allocate hyrec internally */ + phy->data->path_to_hyrec = ppr->hyrec_path; + hyrec_allocate(phy->data, phy->zstart, phy->zend); + /* Error during allocation */ + if(phy->data->error != 0){ + class_call_message(phy->error_message,"hyrec_allocate",phy->data->error_message); + return _FAILURE_; + } + + /** - set cosmological parameters for hyrec */ + phy->data->cosmo->T0 = T_cmb; + phy->data->cosmo->obh2 = pba->Omega0_b*pba->h*pba->h; + phy->data->cosmo->ocbh2 = pba->Omega0_nfsm*pba->h*pba->h; + + phy->data->cosmo->YHe = pth->YHe; + phy->data->cosmo->Neff = pba->Neff; + phy->data->cosmo->fHe = fHe; /* abundance of helium relative to hydrogen by number */ + phy->data->cosmo->fsR = 1.; + phy->data->cosmo->meR = 1.; + phy->data->cosmo->nH0 = Nnow*1e-6; + + /** - set other parameters for hyrec */ + /* XEII_MIN = 1e-6 defined in history.h + HYREC-2 calculates Helium recombinations only until xHeII ~ XEII_MIN */ + phy->xHeII_limit = XHEII_MIN; + + return _SUCCESS_; +} + + +/** + * Free all memory space allocated by thermodynamics_hyrec_init + * + * @param pth Input/Output: pointer to thermohyrec structure (to be freed) + * @return the error status + */ +int thermodynamics_hyrec_free(struct thermohyrec* phy){ + + /* We just need to free hyrec (without error management) */ + hyrec_free(phy->data); + free(phy->data); + + return _SUCCESS_; +} + +/** + * Calculate the derivative of the hydrogen HII ionization fraction + * + * @param pth Input: pointer to thermodynamics structure + * @param phy Input: pointer to thermohyrec structure + * @param x_H Input: hydrogen HII ionization fraction + * @param x_He Input: helium HeIII ionization fraction + * @param nH Input: comoving total number of hydrogen atoms + * @param z Input: current cosmological redshift + * @param Hz Input: current value of hubble parameter in 1/s + * @param Tmat Input: temperature of baryons in Kelvin + * @param Trad Input: temperature of photons in Kelvin + * @param alpha Input: fine structure constant relative to today + * @param me Input: effective electron mass relative to today + * @param dx_H_dz Output: change in ionization fraction of hydrogen HII + * @return the error status + */ +int hyrec_dx_H_dz(struct thermodynamics* pth, struct thermohyrec* phy, double x_H, double x_He, double xe, double nH, double z, double Hz, double Tmat, double Trad, double alpha, double me, double *dx_H_dz) { + + /** Summary: */ + + /** - define local variables */ + struct injection* pin = &(pth->in); + long iz = 0; + int model; + double Trad_phys; + + /** - do tests */ + class_test(MODEL == FULL, phy->error_message, "FULL mode is currently not allowed for HyRec-2"); + + /** - assign variables */ + if (pth->has_exotic_injection == _TRUE_) { + phy->data->cosmo->inj_params->ion = pin->pvecdeposition[pin->index_dep_ionH]/nH/(_E_H_ion_*_eV_); + phy->data->cosmo->inj_params->exclya = pin->pvecdeposition[pin->index_dep_lya]/nH/(_E_H_lya_*_eV_); + } + else{ + phy->data->cosmo->inj_params->ion = 0.; + phy->data->cosmo->inj_params->exclya = 0.; + } + if (pth->has_varconst == _TRUE_) { + phy->data->cosmo->fsR = alpha; + phy->data->cosmo->meR = me; + } + + Trad_phys = Trad*kBoltz; + if (pth->has_varconst == _TRUE_) { + Trad_phys /= phy->data->cosmo->fsR*phy->data->cosmo->fsR*phy->data->cosmo->meR; //According to 1705.03925 + } + + if (Trad_phys <= TR_MIN || Tmat/Trad <= T_RATIO_MIN) { model = PEEBLES; } + else { model = MODEL; } + + /** - convert to correct units, and retrieve derivative */ + *dx_H_dz = -1./(1.+z)* rec_dxHIIdlna(phy->data, model, xe, x_H, nH*1e-6, Hz, Tmat*kBoltz, Trad*kBoltz, iz, z); + + /** - do error management */ + if(phy->data->error != 0){ + class_call_message(phy->error_message,"rec_dxHIIdlna",phy->data->error_message); + return _FAILURE_; + } + + return _SUCCESS_; +} + +/** + * Calculate the derivative of the helium HeIII ionization fraction + * + * @param pth Input: pointer to thermodynamics structure + * @param phy Input: pointer to thermohyrec structure + * @param x_H Input: hydrogen HII ionization fraction + * @param x_He Input: helium HeIII ionization fraction + * @param xe Input: sum total ionization fraction + * @param nH Input: comoving total number of hydrogen atoms + * @param z Input: current cosmological redshift + * @param Hz Input: current value of hubble parameter in 1/s + * @param Tmat Input: temperature of baryons in Kelvin + * @param Trad Input: temperature of photons in Kelvin + * @param alpha Input: fine structure constant relative to today + * @param me Input: effective electron mass relative to today + * @param dx_He_dz Output: change in ionization fraction of helium HeIII + * @return the error status + */ +int hyrec_dx_He_dz(struct thermodynamics* pth, struct thermohyrec* phy, double x_H, double x_He, double xe, double nH, double z, double Hz, double Tmat, double Trad, double alpha, double me, double *dx_He_dz) { + + /** Summary: */ + + /** - define local variables */ + struct injection* pin = &(pth->in); + double xHeII = x_He*phy->data->cosmo->fHe; // Different definitions between CLASS and HYREC-2 + + /** - do tests */ + class_test(MODEL == FULL, phy->error_message, "FULL mode is currently not allowed for HyRec-2"); + + /** - assign variables */ + if (pth->has_exotic_injection == _TRUE_) { + phy->data->cosmo->inj_params->ion = pin->pvecdeposition[pin->index_dep_ionHe]/nH/(_E_H_ion_*_eV_); + phy->data->cosmo->inj_params->exclya = pin->pvecdeposition[pin->index_dep_lya]/nH/(_E_H_lya_*_eV_); + } + else{ + phy->data->cosmo->inj_params->ion = 0.; + phy->data->cosmo->inj_params->exclya = 0.; + } + if (pth->has_varconst == _TRUE_) { + phy->data->cosmo->fsR = alpha; + phy->data->cosmo->meR = me; + } + + if (xHeIIxHeII_limit) { + /** - don't evolve He below the limit */ + *dx_He_dz=0; + } + else { + + /** - convert to correct units, and retrieve derivative */ + *dx_He_dz = -1./(1.+z)* rec_helium_dxHeIIdlna(phy->data, z, 1.-x_H, xHeII, Hz) / phy->data->cosmo->fHe; + + /** - do error management */ + if(phy->data->error != 0){ + class_call_message(phy->error_message,"rec_helium_dxHeIIdlna",phy->data->error_message); + return _FAILURE_; + } + } + + return _SUCCESS_; +} diff --git a/external/HyRec2020/wrap_hyrec.h b/external/HyRec2020/wrap_hyrec.h new file mode 100644 index 00000000..ca9b2998 --- /dev/null +++ b/external/HyRec2020/wrap_hyrec.h @@ -0,0 +1,57 @@ +#ifndef __WRAP_HYREC__ +#define __WRAP_HYREC__ + + +//Think about include guard +#ifndef TWOG_FILE +#include "helium.h" +#include "hydrogen.h" +#include "history.h" +#endif + +#include "common.h" //Use here ONLY the things required for defining the struct (i.e. common.h for the ErrorMsg) + +struct thermohyrec{ + + HYREC_DATA *data; + + double zstart; + double zend; + + double xHeII_limit; + + ErrorMsg error_message; + + int thermohyrec_verbose; +}; + +/**************************************************************/ + +/* Boilerplate for C++ */ +#ifdef __cplusplus +extern "C" { +#endif + + int thermodynamics_hyrec_init(struct precision* ppr, struct background * pba, struct thermodynamics * pth, double Nnow, double T_cmb, double fHe, double zstart_hyrec, struct thermohyrec* phy); + + int thermodynamics_hyrec_calculate_xe(struct thermodynamics * pth, struct thermohyrec * phy, + double z, double H_in, double T_b, double T_gamma, + double* x_e, double* dxe_dlna); + + int thermodynamics_hyrec_get_xe(struct thermohyrec * phy, double z, double* x_e, double* dxdlna); + + int thermodynamics_hyrec_free(struct thermohyrec* phy); + + int hyrec_dx_H_dz(struct thermodynamics* pth, struct thermohyrec* phy, double x_H, double x_He, double xe, double nH, double z, double Hz, double Tmat, double Trad, double alpha, double me, double *dx_H_dz); + int hyrec_dx_He_dz(struct thermodynamics* pth, struct thermohyrec* phy, double x_H, double x_He, double xe, double nH, double z, double Hz, double Tmat, double Trad, double alpha, double me, double *dx_He_dz); + +#ifdef __cplusplus +} +#endif + +/* Ionization energy of hydrogen HI */ +#define _E_H_ion_ 13.5984336478 +/* Lyman-Alpha transition energy of hydrogen , approximately 3/4 of the ionization energy because (1s->2p transition and E~1/n^2) */ +#define _E_H_lya_ 10.1988356821 + +#endif diff --git a/RealSpaceInterface/Calc2D/CalculationClass.py b/external/RealSpaceInterface/Calc2D/CalculationClass.py similarity index 100% rename from RealSpaceInterface/Calc2D/CalculationClass.py rename to external/RealSpaceInterface/Calc2D/CalculationClass.py diff --git a/RealSpaceInterface/Calc2D/DataGeneration.py b/external/RealSpaceInterface/Calc2D/DataGeneration.py similarity index 100% rename from RealSpaceInterface/Calc2D/DataGeneration.py rename to external/RealSpaceInterface/Calc2D/DataGeneration.py diff --git a/RealSpaceInterface/Calc2D/DataPropagation.py b/external/RealSpaceInterface/Calc2D/DataPropagation.py similarity index 100% rename from RealSpaceInterface/Calc2D/DataPropagation.py rename to external/RealSpaceInterface/Calc2D/DataPropagation.py diff --git a/RealSpaceInterface/Calc2D/Database.py b/external/RealSpaceInterface/Calc2D/Database.py similarity index 100% rename from RealSpaceInterface/Calc2D/Database.py rename to external/RealSpaceInterface/Calc2D/Database.py diff --git a/RealSpaceInterface/Calc2D/TransferFunction.py b/external/RealSpaceInterface/Calc2D/TransferFunction.py similarity index 100% rename from RealSpaceInterface/Calc2D/TransferFunction.py rename to external/RealSpaceInterface/Calc2D/TransferFunction.py diff --git a/RealSpaceInterface/Calc2D/__init__.py b/external/RealSpaceInterface/Calc2D/__init__.py similarity index 100% rename from RealSpaceInterface/Calc2D/__init__.py rename to external/RealSpaceInterface/Calc2D/__init__.py diff --git a/RealSpaceInterface/Calc2D/rFourier.py b/external/RealSpaceInterface/Calc2D/rFourier.py similarity index 100% rename from RealSpaceInterface/Calc2D/rFourier.py rename to external/RealSpaceInterface/Calc2D/rFourier.py diff --git a/RealSpaceInterface/README b/external/RealSpaceInterface/README similarity index 100% rename from RealSpaceInterface/README rename to external/RealSpaceInterface/README diff --git a/RealSpaceInterface/cache/.keep b/external/RealSpaceInterface/cache/.keep similarity index 100% rename from RealSpaceInterface/cache/.keep rename to external/RealSpaceInterface/cache/.keep diff --git a/RealSpaceInterface/colormap_converter.py b/external/RealSpaceInterface/colormap_converter.py similarity index 100% rename from RealSpaceInterface/colormap_converter.py rename to external/RealSpaceInterface/colormap_converter.py diff --git a/RealSpaceInterface/config.py b/external/RealSpaceInterface/config.py similarity index 100% rename from RealSpaceInterface/config.py rename to external/RealSpaceInterface/config.py diff --git a/RealSpaceInterface/requirements.txt b/external/RealSpaceInterface/requirements.txt similarity index 100% rename from RealSpaceInterface/requirements.txt rename to external/RealSpaceInterface/requirements.txt diff --git a/RealSpaceInterface/static/css/custom.css b/external/RealSpaceInterface/static/css/custom.css similarity index 100% rename from RealSpaceInterface/static/css/custom.css rename to external/RealSpaceInterface/static/css/custom.css diff --git a/RealSpaceInterface/static/css/timeline.css b/external/RealSpaceInterface/static/css/timeline.css similarity index 100% rename from RealSpaceInterface/static/css/timeline.css rename to external/RealSpaceInterface/static/css/timeline.css diff --git a/RealSpaceInterface/static/favicon-16x16.png b/external/RealSpaceInterface/static/favicon-16x16.png similarity index 100% rename from RealSpaceInterface/static/favicon-16x16.png rename to external/RealSpaceInterface/static/favicon-16x16.png diff --git a/RealSpaceInterface/static/favicon-32x32.png b/external/RealSpaceInterface/static/favicon-32x32.png similarity index 100% rename from RealSpaceInterface/static/favicon-32x32.png rename to external/RealSpaceInterface/static/favicon-32x32.png diff --git a/RealSpaceInterface/static/fonts/open-iconic/.gitignore b/external/RealSpaceInterface/static/fonts/open-iconic/.gitignore similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/.gitignore rename to external/RealSpaceInterface/static/fonts/open-iconic/.gitignore diff --git a/RealSpaceInterface/static/fonts/open-iconic/FONT-LICENSE b/external/RealSpaceInterface/static/fonts/open-iconic/FONT-LICENSE similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/FONT-LICENSE rename to external/RealSpaceInterface/static/fonts/open-iconic/FONT-LICENSE diff --git a/RealSpaceInterface/static/fonts/open-iconic/ICON-LICENSE b/external/RealSpaceInterface/static/fonts/open-iconic/ICON-LICENSE similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/ICON-LICENSE rename to external/RealSpaceInterface/static/fonts/open-iconic/ICON-LICENSE diff --git a/RealSpaceInterface/static/fonts/open-iconic/README.md b/external/RealSpaceInterface/static/fonts/open-iconic/README.md similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/README.md rename to external/RealSpaceInterface/static/fonts/open-iconic/README.md diff --git a/RealSpaceInterface/static/fonts/open-iconic/bower.json b/external/RealSpaceInterface/static/fonts/open-iconic/bower.json similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/bower.json rename to external/RealSpaceInterface/static/fonts/open-iconic/bower.json diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.less b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.less similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.less rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.less diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.min.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.min.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.min.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.min.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.scss b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.scss similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.scss rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.scss diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.styl b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.styl similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.styl rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-bootstrap.styl diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.less b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.less similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.less rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.less diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.min.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.min.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.min.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.min.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.scss b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.scss similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.scss rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.scss diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.styl b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.styl similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.styl rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic-foundation.styl diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.less b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.less similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.less rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.less diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.min.css b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.min.css similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.min.css rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.min.css diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.scss b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.scss similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.scss rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.scss diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.styl b/external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.styl similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.styl rename to external/RealSpaceInterface/static/fonts/open-iconic/font/css/open-iconic.styl diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.eot b/external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.eot similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.eot rename to external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.eot diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.otf b/external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.otf similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.otf rename to external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.otf diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.svg b/external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.svg similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.svg rename to external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.svg diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.ttf b/external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.ttf similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.ttf rename to external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.ttf diff --git a/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.woff b/external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.woff similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.woff rename to external/RealSpaceInterface/static/fonts/open-iconic/font/fonts/open-iconic.woff diff --git a/RealSpaceInterface/static/fonts/open-iconic/package.json b/external/RealSpaceInterface/static/fonts/open-iconic/package.json similarity index 100% rename from RealSpaceInterface/static/fonts/open-iconic/package.json rename to external/RealSpaceInterface/static/fonts/open-iconic/package.json diff --git a/RealSpaceInterface/static/images/cmap.png b/external/RealSpaceInterface/static/images/cmap.png similarity index 100% rename from RealSpaceInterface/static/images/cmap.png rename to external/RealSpaceInterface/static/images/cmap.png diff --git a/RealSpaceInterface/static/images/colormaps/Default/default.png b/external/RealSpaceInterface/static/images/colormaps/Default/default.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Default/default.png rename to external/RealSpaceInterface/static/images/colormaps/Default/default.png diff --git a/RealSpaceInterface/static/images/colormaps/Diverging/RdYlBu.png b/external/RealSpaceInterface/static/images/colormaps/Diverging/RdYlBu.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Diverging/RdYlBu.png rename to external/RealSpaceInterface/static/images/colormaps/Diverging/RdYlBu.png diff --git a/RealSpaceInterface/static/images/colormaps/Diverging/Spectral.png b/external/RealSpaceInterface/static/images/colormaps/Diverging/Spectral.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Diverging/Spectral.png rename to external/RealSpaceInterface/static/images/colormaps/Diverging/Spectral.png diff --git a/RealSpaceInterface/static/images/colormaps/Diverging/seismic.png b/external/RealSpaceInterface/static/images/colormaps/Diverging/seismic.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Diverging/seismic.png rename to external/RealSpaceInterface/static/images/colormaps/Diverging/seismic.png diff --git a/RealSpaceInterface/static/images/colormaps/Miscellaneous/jet.png b/external/RealSpaceInterface/static/images/colormaps/Miscellaneous/jet.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Miscellaneous/jet.png rename to external/RealSpaceInterface/static/images/colormaps/Miscellaneous/jet.png diff --git a/RealSpaceInterface/static/images/colormaps/Uniform/inferno.png b/external/RealSpaceInterface/static/images/colormaps/Uniform/inferno.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Uniform/inferno.png rename to external/RealSpaceInterface/static/images/colormaps/Uniform/inferno.png diff --git a/RealSpaceInterface/static/images/colormaps/Uniform/magma.png b/external/RealSpaceInterface/static/images/colormaps/Uniform/magma.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Uniform/magma.png rename to external/RealSpaceInterface/static/images/colormaps/Uniform/magma.png diff --git a/RealSpaceInterface/static/images/colormaps/Uniform/plasma.png b/external/RealSpaceInterface/static/images/colormaps/Uniform/plasma.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Uniform/plasma.png rename to external/RealSpaceInterface/static/images/colormaps/Uniform/plasma.png diff --git a/RealSpaceInterface/static/images/colormaps/Uniform/viridis.png b/external/RealSpaceInterface/static/images/colormaps/Uniform/viridis.png similarity index 100% rename from RealSpaceInterface/static/images/colormaps/Uniform/viridis.png rename to external/RealSpaceInterface/static/images/colormaps/Uniform/viridis.png diff --git a/RealSpaceInterface/static/js/.Rhistory b/external/RealSpaceInterface/static/js/.Rhistory similarity index 100% rename from RealSpaceInterface/static/js/.Rhistory rename to external/RealSpaceInterface/static/js/.Rhistory diff --git a/RealSpaceInterface/static/js/RSI.js b/external/RealSpaceInterface/static/js/RSI.js similarity index 100% rename from RealSpaceInterface/static/js/RSI.js rename to external/RealSpaceInterface/static/js/RSI.js diff --git a/RealSpaceInterface/static/js/gif.js b/external/RealSpaceInterface/static/js/gif.js similarity index 100% rename from RealSpaceInterface/static/js/gif.js rename to external/RealSpaceInterface/static/js/gif.js diff --git a/RealSpaceInterface/static/js/gif.worker.js b/external/RealSpaceInterface/static/js/gif.worker.js similarity index 100% rename from RealSpaceInterface/static/js/gif.worker.js rename to external/RealSpaceInterface/static/js/gif.worker.js diff --git a/RealSpaceInterface/static/js/gridLayout.js b/external/RealSpaceInterface/static/js/gridLayout.js similarity index 100% rename from RealSpaceInterface/static/js/gridLayout.js rename to external/RealSpaceInterface/static/js/gridLayout.js diff --git a/RealSpaceInterface/static/js/jquery.flot.axislabels.js b/external/RealSpaceInterface/static/js/jquery.flot.axislabels.js similarity index 100% rename from RealSpaceInterface/static/js/jquery.flot.axislabels.js rename to external/RealSpaceInterface/static/js/jquery.flot.axislabels.js diff --git a/RealSpaceInterface/static/js/paramGui.js b/external/RealSpaceInterface/static/js/paramGui.js similarity index 100% rename from RealSpaceInterface/static/js/paramGui.js rename to external/RealSpaceInterface/static/js/paramGui.js diff --git a/RealSpaceInterface/static/js/parameterConfig.js b/external/RealSpaceInterface/static/js/parameterConfig.js similarity index 100% rename from RealSpaceInterface/static/js/parameterConfig.js rename to external/RealSpaceInterface/static/js/parameterConfig.js diff --git a/RealSpaceInterface/static/js/playerPanel.js b/external/RealSpaceInterface/static/js/playerPanel.js similarity index 100% rename from RealSpaceInterface/static/js/playerPanel.js rename to external/RealSpaceInterface/static/js/playerPanel.js diff --git a/RealSpaceInterface/static/js/redshiftModal.js b/external/RealSpaceInterface/static/js/redshiftModal.js similarity index 100% rename from RealSpaceInterface/static/js/redshiftModal.js rename to external/RealSpaceInterface/static/js/redshiftModal.js diff --git a/RealSpaceInterface/static/js/simulation.js b/external/RealSpaceInterface/static/js/simulation.js similarity index 100% rename from RealSpaceInterface/static/js/simulation.js rename to external/RealSpaceInterface/static/js/simulation.js diff --git a/RealSpaceInterface/static/js/simulationList.js b/external/RealSpaceInterface/static/js/simulationList.js similarity index 100% rename from RealSpaceInterface/static/js/simulationList.js rename to external/RealSpaceInterface/static/js/simulationList.js diff --git a/RealSpaceInterface/static/js/sockjs.min.js b/external/RealSpaceInterface/static/js/sockjs.min.js similarity index 100% rename from RealSpaceInterface/static/js/sockjs.min.js rename to external/RealSpaceInterface/static/js/sockjs.min.js diff --git a/RealSpaceInterface/static/threejs/Detector.js b/external/RealSpaceInterface/static/threejs/Detector.js similarity index 100% rename from RealSpaceInterface/static/threejs/Detector.js rename to external/RealSpaceInterface/static/threejs/Detector.js diff --git a/RealSpaceInterface/static/threejs/controls/OrbitControls.js b/external/RealSpaceInterface/static/threejs/controls/OrbitControls.js similarity index 100% rename from RealSpaceInterface/static/threejs/controls/OrbitControls.js rename to external/RealSpaceInterface/static/threejs/controls/OrbitControls.js diff --git a/RealSpaceInterface/static/threejs/libs/stats.min.js b/external/RealSpaceInterface/static/threejs/libs/stats.min.js similarity index 100% rename from RealSpaceInterface/static/threejs/libs/stats.min.js rename to external/RealSpaceInterface/static/threejs/libs/stats.min.js diff --git a/RealSpaceInterface/templates/AlreadySimulatedModal.html b/external/RealSpaceInterface/templates/AlreadySimulatedModal.html similarity index 100% rename from RealSpaceInterface/templates/AlreadySimulatedModal.html rename to external/RealSpaceInterface/templates/AlreadySimulatedModal.html diff --git a/RealSpaceInterface/templates/ExceptionModal.html b/external/RealSpaceInterface/templates/ExceptionModal.html similarity index 100% rename from RealSpaceInterface/templates/ExceptionModal.html rename to external/RealSpaceInterface/templates/ExceptionModal.html diff --git a/RealSpaceInterface/templates/GifExportModal.html b/external/RealSpaceInterface/templates/GifExportModal.html similarity index 100% rename from RealSpaceInterface/templates/GifExportModal.html rename to external/RealSpaceInterface/templates/GifExportModal.html diff --git a/RealSpaceInterface/templates/Header.html b/external/RealSpaceInterface/templates/Header.html similarity index 100% rename from RealSpaceInterface/templates/Header.html rename to external/RealSpaceInterface/templates/Header.html diff --git a/RealSpaceInterface/templates/ImageExportModal.html b/external/RealSpaceInterface/templates/ImageExportModal.html similarity index 100% rename from RealSpaceInterface/templates/ImageExportModal.html rename to external/RealSpaceInterface/templates/ImageExportModal.html diff --git a/RealSpaceInterface/templates/ProgressModal.html b/external/RealSpaceInterface/templates/ProgressModal.html similarity index 100% rename from RealSpaceInterface/templates/ProgressModal.html rename to external/RealSpaceInterface/templates/ProgressModal.html diff --git a/RealSpaceInterface/templates/RSI.html b/external/RealSpaceInterface/templates/RSI.html similarity index 100% rename from RealSpaceInterface/templates/RSI.html rename to external/RealSpaceInterface/templates/RSI.html diff --git a/RealSpaceInterface/templates/RedshiftModal.html b/external/RealSpaceInterface/templates/RedshiftModal.html similarity index 100% rename from RealSpaceInterface/templates/RedshiftModal.html rename to external/RealSpaceInterface/templates/RedshiftModal.html diff --git a/RealSpaceInterface/templates/SimulationList.html b/external/RealSpaceInterface/templates/SimulationList.html similarity index 100% rename from RealSpaceInterface/templates/SimulationList.html rename to external/RealSpaceInterface/templates/SimulationList.html diff --git a/RealSpaceInterface/templates/index.html b/external/RealSpaceInterface/templates/index.html similarity index 100% rename from RealSpaceInterface/templates/index.html rename to external/RealSpaceInterface/templates/index.html diff --git a/RealSpaceInterface/tornadoserver.py b/external/RealSpaceInterface/tornadoserver.py similarity index 97% rename from RealSpaceInterface/tornadoserver.py rename to external/RealSpaceInterface/tornadoserver.py index 04d5d937..808119e2 100644 --- a/RealSpaceInterface/tornadoserver.py +++ b/external/RealSpaceInterface/tornadoserver.py @@ -1,248 +1,248 @@ -from Calc2D.CalculationClass import Calculation - -import time -import numpy as np -from concurrent.futures import ThreadPoolExecutor -from tornado.ioloop import IOLoop -from tornado import gen -import tornado.web -import tornado.websocket -import os -import os.path -import json -import unicodedata -import logging -import base64 -import traceback -import sys - -import config - -pool = ThreadPoolExecutor(max_workers=config.MAX_THREADPOOL_WORKERS) - -def generate_redshifts(redshift_config): - logging.info(redshift_config) - arrs = [] - for conf in redshift_config: - log = conf["log"] - func = np.logspace if log else np.linspace - start = np.log10(conf["from"]) if log else conf["from"] - stop = np.log10(conf["to"]) if log else conf["to"] - arrs.append(func(start, stop, conf["points"])) - # Remove duplicates - return np.flip(np.unique(np.concatenate(arrs)), axis=0) - -# Load available colormaps -def get_colormaps(path=config.COLORMAP_PATH): - categories = [] - maps = [] - order = {'Default': 1, 'Uniform': 2, 'Diverging': 3, 'Miscellaneous': 4} - cmap_directories = list(sorted( - os.listdir(os.path.join("static", path)), - key=lambda d: order[d] - )) - for directory in cmap_directories: - categories.append(directory) - maps_for_category = [] - for cmap in os.listdir(os.path.join("static", path, directory)): - maps_for_category.append({ - 'label': cmap[:cmap.rfind(".")], - 'src': os.path.join(os.path.join(config.COLORMAP_PATH, directory, cmap)), - }) - maps.append(maps_for_category) - return categories, maps - -class SimulationHandler(tornado.web.RequestHandler): - def get(self): - categories, colormaps = get_colormaps() - self.render('RSI.html', categories=categories, colormaps=colormaps) - -class DataConnection(tornado.websocket.WebSocketHandler): - def open(self): - logging.info("Client connected!") - self.calc = Calculation(kbins=config.TRANSFER_FUNCTION_CLIENT_SAMPLES) - # Send list of `k` values only once - logging.info("Sending k range to client"); - self.write_message(json.dumps({ - "type": "krange", - "k": self.calc.krange.tolist() - })) - - def on_close(self): - logging.info("Connection was closed") - - @gen.coroutine - def on_message(self, message): - message = json.loads(message) - param_type = message['type'] - logging.debug("Received message from client: {}".format(message)) - params = message['params'] - if param_type == "Initial": - initialDataType = str(params['initialDataType']) - - size = params["xScale"] - resolution = int(params["resolution"]) - self.calc.resolution = resolution - self.calc.size = size - - logging.info("Size: {} x {} Mpc^2, resolution: {} x {}".format(size, size, resolution, resolution)) - - SIlimit = params['SILimit'] - - if SIlimit == "None": - SIlimit = None - - sigma = float(params['sigma']) - - SI_ns = params['n_s'] - if initialDataType == "SI": - A_s = 2.214 * 10**(-9) - else: - A_s = 1 - - redshift = generate_redshifts(params["redshift"]) - self.calc.redshift = redshift - - self.write_message( - json.dumps({ - 'type': 'redshift', - 'redshift': redshift.tolist() - })) - - logging.info("Submitting initial state generation to ThreadPoolExecutor") - yield pool.submit(self.set_initial_condition, sigma, initialDataType, - SIlimit, SI_ns, A_s) - self.send_initial_state() - self.write_message(json.dumps({'type': 'success', 'sort': 'Initial'})) - - elif param_type == "Cosmo": - logging.info("Received cosmological parameters") - cosmological_parameters = params - logging.info("Submitting calculation to ThreadPoolExecutor") - messages = yield pool.submit(self.set_cosmological_parameters, cosmological_parameters) - for message in messages: - self.write_message(json.dumps(message)) - elif param_type == "Start": - logging.info("Starting propagation...") - try: - for redindex, z in enumerate(self.calc.redshift): - self.send_frame(redindex) - self.write_message(json.dumps({'type': 'success', 'sort': 'Data'})) - except Exception as e: - logging.exception(e) - self.send_exception(e) - - def send_frame(self, redindex): - # `extrema`: (minimum, maximum) of (real space) data - Valuenew, FValuenew, extrema = self.calc.getData(redindex) - logging.info("Sending data for redshift = {}".format(self.calc.redshift[redindex])) - - # Create data to be displayed in transfer function window - TransferData, _ = self.calc.getTransferData(redindex) - - self.write_message(json.dumps({'type': 'extrema', 'extrema': extrema})) - progress = float(redindex) / len(self.calc.redshift) - - real = {quantity: base64.b64encode(data.astype(np.float32)) for quantity, data in Valuenew.iteritems()} - transfer = {quantity: base64.b64encode(data.astype(np.float32)) for quantity, data in TransferData.iteritems()} - self.write_message( - json.dumps({ - 'type': 'data', - 'progress': progress, - 'real': real, - 'fourier': [], - 'transfer': transfer, - })) - - def send_initial_state(self): - Value, FValue, extrema = self.calc.getInitialData() - TransferData = np.ones(config.TRANSFER_FUNCTION_CLIENT_SAMPLES) - krange = np.zeros(config.TRANSFER_FUNCTION_CLIENT_SAMPLES) - logging.info("Sending initial data to client.") - self.write_message({ - "type": "resolution", - "value": self.calc.resolution - }) - extremastring = json.dumps({'type': 'extrema', 'extrema': extrema}) - datastring = json.dumps({ - 'type': 'data', - 'real': base64.b64encode(Value.astype(np.float32)), - 'fourier': [], - 'transfer': base64.b64encode(TransferData.astype(np.float32)), - 'k': krange.tolist() - }) - self.write_message(extremastring) - self.write_message(datastring) - - - def set_initial_condition(self, sigma, initialDataType, SIlimit, SI_ns, A_s): - try: - self.calc.setInitialConditions( - sigma=sigma, - initialDataType=initialDataType, - SIlimit=SIlimit, - SI_ns=SI_ns, - A=A_s - ) - except Exception as e: - logging.exception(e) - self.send_exception(e) - - def send_exception(self, e): - self.write_message(json.dumps({'type': 'exception', 'exception': traceback.format_exc()})) - - def set_cosmological_parameters(self, cosmologicalParameters): - try: - messages = [] - logging.info("Starting calculation...") - self.calc.setCosmologialParameters(cosmologicalParameters=cosmologicalParameters) - logging.info("Finished calculation!") - - messages.append({'type': 'success', 'sort': 'Cosmo'}) - messages.append({ - 'type': 'Cl', - 'l': self.calc.tCl.l.tolist(), - 'tCl': self.calc.tCl.tCl.tolist() - }) - messages.append({ - 'type': 'mPk', - 'kh': self.calc.mPk.kh.tolist(), - 'Pkh': self.calc.mPk.Pkh.tolist() - }) - - z_of_decoupling = self.calc.z_dec - frame_of_decoupling = np.argmin(np.abs(z_of_decoupling - self.calc.redshift)) - if self.calc.redshift[frame_of_decoupling] > z_of_decoupling: - frame_of_decoupling -= 1 - messages.append({ - 'type': 'decoupling', - 'frame': frame_of_decoupling, - 'z': z_of_decoupling}) - except Exception as e: - logging.exception(e) - self.send_exception(e) - else: - return messages - - -def main(): - logging.getLogger().setLevel(logging.DEBUG) - - application = tornado.web.Application( - [ - (r"/", SimulationHandler), - (r"/datasocket", DataConnection), - ], - template_path=os.path.join(os.path.dirname(__file__), "templates"), - static_path=os.path.join(os.path.dirname(__file__), "static"), - debug=True, - ) - - PORT = config.PORT if len(sys.argv) == 1 else int(sys.argv[1]) - application.listen(PORT) - logging.info("Application launched on http://localhost:{}".format(PORT)) - IOLoop.instance().current().start() - - -if __name__ == '__main__': - main() +from Calc2D.CalculationClass import Calculation + +import time +import numpy as np +from concurrent.futures import ThreadPoolExecutor +from tornado.ioloop import IOLoop +from tornado import gen +import tornado.web +import tornado.websocket +import os +import os.path +import json +import unicodedata +import logging +import base64 +import traceback +import sys + +import config + +pool = ThreadPoolExecutor(max_workers=config.MAX_THREADPOOL_WORKERS) + +def generate_redshifts(redshift_config): + logging.info(redshift_config) + arrs = [] + for conf in redshift_config: + log = conf["log"] + func = np.logspace if log else np.linspace + start = np.log10(conf["from"]) if log else conf["from"] + stop = np.log10(conf["to"]) if log else conf["to"] + arrs.append(func(start, stop, conf["points"])) + # Remove duplicates + return np.flip(np.unique(np.concatenate(arrs)), axis=0) + +# Load available colormaps +def get_colormaps(path=config.COLORMAP_PATH): + categories = [] + maps = [] + order = {'Default': 1, 'Uniform': 2, 'Diverging': 3, 'Miscellaneous': 4} + cmap_directories = list(sorted( + os.listdir(os.path.join("static", path)), + key=lambda d: order[d] + )) + for directory in cmap_directories: + categories.append(directory) + maps_for_category = [] + for cmap in os.listdir(os.path.join("static", path, directory)): + maps_for_category.append({ + 'label': cmap[:cmap.rfind(".")], + 'src': os.path.join(os.path.join(config.COLORMAP_PATH, directory, cmap)), + }) + maps.append(maps_for_category) + return categories, maps + +class SimulationHandler(tornado.web.RequestHandler): + def get(self): + categories, colormaps = get_colormaps() + self.render('RSI.html', categories=categories, colormaps=colormaps) + +class DataConnection(tornado.websocket.WebSocketHandler): + def open(self): + logging.info("Client connected!") + self.calc = Calculation(kbins=config.TRANSFER_FUNCTION_CLIENT_SAMPLES) + # Send list of `k` values only once + logging.info("Sending k range to client"); + self.write_message(json.dumps({ + "type": "krange", + "k": self.calc.krange.tolist() + })) + + def on_close(self): + logging.info("Connection was closed") + + @gen.coroutine + def on_message(self, message): + message = json.loads(message) + param_type = message['type'] + logging.debug("Received message from client: {}".format(message)) + params = message['params'] + if param_type == "Initial": + initialDataType = str(params['initialDataType']) + + size = params["xScale"] + resolution = int(params["resolution"]) + self.calc.resolution = resolution + self.calc.size = size + + logging.info("Size: {} x {} Mpc^2, resolution: {} x {}".format(size, size, resolution, resolution)) + + SIlimit = params['SILimit'] + + if SIlimit == "None": + SIlimit = None + + sigma = float(params['sigma']) + + SI_ns = params['n_s'] + if initialDataType == "SI": + A_s = 2.214 * 10**(-9) + else: + A_s = 1 + + redshift = generate_redshifts(params["redshift"]) + self.calc.redshift = redshift + + self.write_message( + json.dumps({ + 'type': 'redshift', + 'redshift': redshift.tolist() + })) + + logging.info("Submitting initial state generation to ThreadPoolExecutor") + yield pool.submit(self.set_initial_condition, sigma, initialDataType, + SIlimit, SI_ns, A_s) + self.send_initial_state() + self.write_message(json.dumps({'type': 'success', 'sort': 'Initial'})) + + elif param_type == "Cosmo": + logging.info("Received cosmological parameters") + cosmological_parameters = params + logging.info("Submitting calculation to ThreadPoolExecutor") + messages = yield pool.submit(self.set_cosmological_parameters, cosmological_parameters) + for message in messages: + self.write_message(json.dumps(message)) + elif param_type == "Start": + logging.info("Starting propagation...") + try: + for redindex, z in enumerate(self.calc.redshift): + self.send_frame(redindex) + self.write_message(json.dumps({'type': 'success', 'sort': 'Data'})) + except Exception as e: + logging.exception(e) + self.send_exception(e) + + def send_frame(self, redindex): + # `extrema`: (minimum, maximum) of (real space) data + Valuenew, FValuenew, extrema = self.calc.getData(redindex) + logging.info("Sending data for redshift = {}".format(self.calc.redshift[redindex])) + + # Create data to be displayed in transfer function window + TransferData, _ = self.calc.getTransferData(redindex) + + self.write_message(json.dumps({'type': 'extrema', 'extrema': extrema})) + progress = float(redindex) / len(self.calc.redshift) + + real = {quantity: base64.b64encode(data.astype(np.float32)) for quantity, data in Valuenew.iteritems()} + transfer = {quantity: base64.b64encode(data.astype(np.float32)) for quantity, data in TransferData.iteritems()} + self.write_message( + json.dumps({ + 'type': 'data', + 'progress': progress, + 'real': real, + 'fourier': [], + 'transfer': transfer, + })) + + def send_initial_state(self): + Value, FValue, extrema = self.calc.getInitialData() + TransferData = np.ones(config.TRANSFER_FUNCTION_CLIENT_SAMPLES) + krange = np.zeros(config.TRANSFER_FUNCTION_CLIENT_SAMPLES) + logging.info("Sending initial data to client.") + self.write_message({ + "type": "resolution", + "value": self.calc.resolution + }) + extremastring = json.dumps({'type': 'extrema', 'extrema': extrema}) + datastring = json.dumps({ + 'type': 'data', + 'real': base64.b64encode(Value.astype(np.float32)), + 'fourier': [], + 'transfer': base64.b64encode(TransferData.astype(np.float32)), + 'k': krange.tolist() + }) + self.write_message(extremastring) + self.write_message(datastring) + + + def set_initial_condition(self, sigma, initialDataType, SIlimit, SI_ns, A_s): + try: + self.calc.setInitialConditions( + sigma=sigma, + initialDataType=initialDataType, + SIlimit=SIlimit, + SI_ns=SI_ns, + A=A_s + ) + except Exception as e: + logging.exception(e) + self.send_exception(e) + + def send_exception(self, e): + self.write_message(json.dumps({'type': 'exception', 'exception': traceback.format_exc()})) + + def set_cosmological_parameters(self, cosmologicalParameters): + try: + messages = [] + logging.info("Starting calculation...") + self.calc.setCosmologialParameters(cosmologicalParameters=cosmologicalParameters) + logging.info("Finished calculation!") + + messages.append({'type': 'success', 'sort': 'Cosmo'}) + messages.append({ + 'type': 'Cl', + 'l': self.calc.tCl.l.tolist(), + 'tCl': self.calc.tCl.tCl.tolist() + }) + messages.append({ + 'type': 'mPk', + 'kh': self.calc.mPk.kh.tolist(), + 'Pkh': self.calc.mPk.Pkh.tolist() + }) + + z_of_decoupling = self.calc.z_dec + frame_of_decoupling = np.argmin(np.abs(z_of_decoupling - self.calc.redshift)) + if self.calc.redshift[frame_of_decoupling] > z_of_decoupling: + frame_of_decoupling -= 1 + messages.append({ + 'type': 'decoupling', + 'frame': frame_of_decoupling, + 'z': z_of_decoupling}) + except Exception as e: + logging.exception(e) + self.send_exception(e) + else: + return messages + + +def main(): + logging.getLogger().setLevel(logging.DEBUG) + + application = tornado.web.Application( + [ + (r"/", SimulationHandler), + (r"/datasocket", DataConnection), + ], + template_path=os.path.join(os.path.dirname(__file__), "templates"), + static_path=os.path.join(os.path.dirname(__file__), "static"), + debug=True, + ) + + PORT = config.PORT if len(sys.argv) == 1 else int(sys.argv[1]) + application.listen(PORT) + logging.info("Application launched on http://localhost:{}".format(PORT)) + IOLoop.instance().current().start() + + +if __name__ == '__main__': + main() diff --git a/external/RecfastCLASS/wrap_recfast.c b/external/RecfastCLASS/wrap_recfast.c new file mode 100644 index 00000000..f389efd3 --- /dev/null +++ b/external/RecfastCLASS/wrap_recfast.c @@ -0,0 +1,364 @@ +#include "wrap_recfast.h" +#include "thermodynamics.h" + + +/** + ********************************************************************************************************************************* + * RECFAST is an integrator for Cosmic Recombination of Hydrogen and Helium, developed by Douglas Scott (dscott@astro.ubc.ca) + * based on calculations in the paper Seager, Sasselov & Scott (ApJ, 523, L1, 1999) and "fudge" updates in Wong, Moss & Scott (2008). + * + * Permission to use, copy, modify and distribute without fee or royalty at any tier, this software and its documentation, for any + * purpose and without fee or royalty is hereby granted, provided that you agree to comply with the following copyright notice and + * statements, including the disclaimer, and that the same appear on ALL copies of the software and documentation, + * including modifications that you make for internal use or for distribution: + * + * Copyright 1999-2010 by University of British Columbia. All rights reserved. + * + * THIS SOFTWARE IS PROVIDED "AS IS", AND U.B.C. MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED. + * BY WAY OF EXAMPLE, BUT NOT LIMITATION, U.B.C. MAKES NO REPRESENTATIONS OR WARRANTIES OF MERCHANTABILITY + * OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF THE LICENSED SOFTWARE OR DOCUMENTATION WILL NOT INFRINGE + * ANY THIRD PARTY PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS. + ********************************************************************************************************************************* + * + * Version 1.5: includes extra fitting function from Rubino-Martin et al. arXiv:0910.4383v1 [astro-ph.CO] + * + * Additional changes by Nils Schöneberg to account for a variation of fundamental constants in accordance with 1705.03925 + */ + +int recfast_init(struct precision* ppr, + struct background* pba, + struct thermodynamics* pth, + struct thermorecfast * pre, + enum recfast_photoion_modes recfast_photoion_mode, + double fHe) { + + /** Define local quantities */ + double Lalpha,Lalpha_He; + + /** - Import some thermodynamical quantities */ + pre->fHe = fHe; + pre->photoion_mode = recfast_photoion_mode; + + /** - read a few precision/cosmological parameters */ + pre->AGauss1 = ppr->recfast_AGauss1; + pre->AGauss2 = ppr->recfast_AGauss2; + pre->zGauss1 = ppr->recfast_zGauss1; + pre->zGauss2 = ppr->recfast_zGauss2; + pre->wGauss1 = ppr->recfast_wGauss1; + pre->wGauss2 = ppr->recfast_wGauss2; + pre->Hswitch = ppr->recfast_Hswitch; + pre->Heswitch = ppr->recfast_Heswitch; + pre->x_H0_trigger2 = ppr->recfast_x_H0_trigger2; + pre->x_He0_trigger2 = ppr->recfast_x_He0_trigger2; + pre->fudge_H = ppr->recfast_fudge_H; + pre->fudge_He = ppr->recfast_fudge_He; + pre->x_H_limit_KHe = 0.9999999; /* threshold changed by Antony Lewis in 2008 to get smoother Helium */ + pre->x_H_limit_CfHe_t = 0.99999; + pre->max_exp_boltz = 680.; /* The actual threshold is more around 709.8, but this leaves some wiggle-room */ + pre->x_He_trigger_small = 5.0e-9; + + pre->z_switch_late = ppr->recfast_z_switch_late; + + /** - Adjust fudging factors if needed */ + if (pre->Hswitch == _TRUE_){ + pre->fudge_H += ppr->recfast_delta_fudge_H; + } + + + /** - Assign quantities that have to be calculated first */ + /* These factors use inverse wavenumbers _L_ since they are most accurately measured */ + /* Lyman alpha wavelengths */ + Lalpha = 1./_L_H_alpha_; + Lalpha_He = 1./_L_He_2p_; + /* Ionization-lya temperature differences */ + pre->CDB = _h_P_*_c_*(_L_H_ion_-_L_H_alpha_)/_k_B_; + pre->CDB_He = _h_P_*_c_*(_L_He1_ion_-_L_He_2s_)/_k_B_; + /* Ionization temperatures */ + pre->CB1 = _h_P_*_c_*_L_H_ion_/_k_B_; // equivalent to ptw->const_Tion_H + pre->CB1_He1 = _h_P_*_c_*_L_He1_ion_/_k_B_; // equivalent to ptw->const_Tion_HeI + pre->CB1_He2 = _h_P_*_c_*_L_He2_ion_/_k_B_; // equivalent to ptw->const_Tion_HeII + /* Constants defined for the Peeble's factors */ + pre->CR = 2.*_PI_*(_m_e_/_h_P_)*(_k_B_/_h_P_); // equivalent to ptw->const_NR_numberdens + pre->CK = pow(Lalpha,3)/(8.*_PI_); + pre->CK_He = pow(Lalpha_He,3)/(8.*_PI_); + /* Lyman alpha temperature */ + pre->CL = _c_*_h_P_/(_k_B_*Lalpha); + pre->CL_He = _c_*_h_P_/(_k_B_/_L_He_2s_); + pre->CL_Het = _h_P_*_c_*_L_He_2St_/_k_B_; + /* Helium 2s->2p transition temperature*/ + pre->CDB_He2s2p = _h_P_*_c_*(_L_He_2p_-_L_He_2s_)/_k_B_; + + /** - Test schemes */ + /* He fudging */ + class_test((ppr->recfast_Heswitch < 0) || (ppr->recfast_Heswitch > 6), + pre->error_message, + "RECFAST error: unknown He fudging scheme"); + /* H fudging */ + class_test((ppr->recfast_Hswitch != _TRUE_) && (ppr->recfast_Hswitch != _FALSE_), + pre->error_message, + "RECFAST error: unknown H fudging scheme"); + + return _SUCCESS_; + +} + +/** + * The hydrogen switches are + * - 0 => Only take normal K_H + * - 1 => Add simple corections to K_H from gaussian fit + * */ +int recfast_dx_H_dz(struct thermodynamics* pth, struct thermorecfast * pre, double x_H, double x, double nH, + double z, double Hz, double Tmat, double Trad, + double* dxH_dz) { + + /** Define local variables */ + struct injection* pin = &(pth->in); + /* new in recfast 1.4: */ + double Rup,Rdown,K,C,C_nofudge; + double ion_H,ion_He,ion_lya; + + /* Einstein coefficient of 2s -> 1s transition in hydrogen */ + double A2s1sH = _Lambda_; + + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + /** - Rescale temperatures by factor alpha^2 * m_e (see e.g. 1705.03925) */ + Tmat /= pre->fsR*pre->fsR*pre->meR; + Trad /= pre->fsR*pre->fsR*pre->meR; + } + + /** - Get necessary coefficients */ + Rdown = 1.e-19*_a_PPB_*pow((Tmat/1.e4),_b_PPB_)/(1.+_c_PPB_*pow((Tmat/1.e4),_d_PPB_)); + switch (pre->photoion_mode){ + case recfast_photoion_Tmat: + Rup = Rdown * pow((pre->CR*Tmat),1.5)*exp(-pre->CDB/Tmat); + break; + default: + case recfast_photoion_Trad: + Rup = 1.e-19*_a_PPB_*pow((Trad/1.e4),_b_PPB_)/(1.+_c_PPB_*pow((Trad/1.e4),_d_PPB_)) * pow((pre->CR*Trad),1.5)*exp(-pre->CDB/Trad); + break; + } + K = pre->CK/Hz; + + /* following is from recfast 1.5 */ + /** - Adjust the K constant with double gaussian fit */ + if (pre->Hswitch == _TRUE_ ){ + K *= 1. + + pre->AGauss1*exp(-pow((log(1.+z)-pre->zGauss1)/pre->wGauss1,2)) + + pre->AGauss2*exp(-pow((log(1.+z)-pre->zGauss2)/pre->wGauss2,2)); + } + /* end of new recfast 1.5 piece */ + + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + /** - Rescale by various powers of fsR = relative alpha and meR = relative m_e (see e.g. 1705.03925) */ + Rdown *= pre->fsR*pre->fsR/pre->meR/pre->meR; + Rup *= pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->meR; + K *= 1./pow(pre->fsR*pre->fsR*pre->meR,3); + A2s1sH *= pow(pre->fsR, 8)*pre->meR; + } + + /** - Calculate Peebles' coefficient */ + /* Peebles' coefficient (approximated as one when the Hydrogen + * ionization fraction is very close to one) */ + if (x_H < pre->x_H0_trigger2 || z < pre->z_switch_late) { + C = (1. + K*A2s1sH*nH*(1.-x_H))/(1./pre->fudge_H+K*A2s1sH*nH*(1.-x_H)/pre->fudge_H +K*Rup*nH*(1.-x_H)); + C_nofudge = (1. + K*A2s1sH*nH*(1.-x_H))/(1.+K*A2s1sH*nH*(1.-x_H) + K*Rup*nH*(1.-x_H)); + } + else { + C = 1.; + C_nofudge = 1.; + } + + /** - Evolve system by fudged Peebles' equation, use fudged Peebles' coefficient C */ + *dxH_dz = (x*x_H*nH*Rdown - Rup*(1.-x_H)*exp(-pre->CL/Tmat)) * C / (Hz*(1.+z)); + + /** - Energy injection */ + if (pth->has_exotic_injection == _TRUE_) { + ion_H = pin->pvecdeposition[pin->index_dep_ionH]; + ion_He = pin->pvecdeposition[pin->index_dep_ionHe]; + ion_lya = pin->pvecdeposition[pin->index_dep_lya]; + + *dxH_dz += -1./nH*((ion_H+ion_He)/(_E_H_ion_*_eV_)+ion_lya*(1.-C_nofudge)/(_E_H_lya_*_eV_))/(Hz*(1.+z)); + } + + return _SUCCESS_; +} + +/** + * The helium switches are + * - 0 => Only take normal K_He + * - 1 => Add simple corections to K_He + * - 2 => Add simple + doppler corrections to K_He + * - 3 => Add simple + triple corrections to K_He, but not doppler + * - 4 => Add simple + triple + triple doppler corrections to K_He, but not normal doppler + * - 5 => Add simple + triple + doppler corrections to K_He, but not triple doppler + * - 6 => Add simple + triple + doppler + triple doppler corrections to K_He + * */ +int recfast_dx_He_dz(struct thermodynamics* pth, struct thermorecfast * pre, double x_He, double x, double x_H, double nH, + double z, double Hz, double Tmat, double Trad, + double* dxHe_dz) { + + /** Define local variables */ + double Rdown_trip,Rup_trip,tauHe_s,pHe_s,tauHe_t,pHe_t,CL_PSt; + double Doppler,gamma_2Ps,gamma_2Pt,pb,qb,AHcon; + double sq_0,sq_1; + double K_He,Rup_He,Rdown_He,He_Boltz; + double CfHe_t=0.; + double C_He; + double n_He; + int Heflag; + + /* Einstein coefficient of 2s -> 1s transition in helium */ + double A2s1sHe = _Lambda_He_; + + /* This is just to prevent the compiler complaining: + Technically Rdown_trip/Rup_trip should always be fine */ + Rdown_trip = 0.; Rup_trip = 0.; + + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + /** - Rescale temperatures by factor alpha^2 * m_e (see e.g. 1705.03925) */ + Tmat /= pre->fsR*pre->fsR*pre->meR; + Trad /= pre->fsR*pre->fsR*pre->meR; + } + + /** - Local variables and coefficients */ + n_He = pre->fHe * nH; + sq_0 = sqrt(Tmat/_T_0_); + sq_1 = sqrt(Tmat/_T_1_); + + Rdown_He = _a_VF_/(sq_0 * pow((1.+sq_0),(1.-_b_VF_)) * pow((1. + sq_1),(1. + _b_VF_))); + switch (pre->photoion_mode){ + case recfast_photoion_Tmat: + Rup_He = 4.*Rdown_He*pow((pre->CR*Tmat),1.5)*exp(-pre->CDB_He/Tmat); + break; + case recfast_photoion_Trad: + default: + Rup_He = 4.*_a_VF_/(sqrt(Trad/_T_0_) * pow((1.+sqrt(Trad/_T_0_)),(1.-_b_VF_)) * pow((1. + sqrt(Trad/_T_1_)),(1. + _b_VF_))) * pow((pre->CR*Trad),1.5)*exp(-pre->CDB_He/Trad); + break; + } + + /** - The K_He is calculated up to the required accuracy */ + if ((x_He < pre->x_He_trigger_small) || (x_He > pre->x_He0_trigger2)){ + Heflag = 0; + } + else if(zz_switch_late){ + Heflag = 2; + } + else{ + Heflag = pre->Heswitch; + } + + /* Simplest case : as defined in the equation */ + if (Heflag == 0){ + K_He = pre->CK_He/Hz; + } + /* More difficult cases : Take into account additional contributions */ + else { + tauHe_s = _A2P_s_*pre->CK_He*3.*n_He*(1.-x_He)/Hz; + pHe_s = (1.-exp(-tauHe_s))/tauHe_s; + K_He = 1./(_A2P_s_*pHe_s*3.*n_He*(1.-x_He)); + + /* In doppler mode (2) or in all mode (>=5), take doppler corrections */ + if (((Heflag == 2) || (Heflag >= 5)) && (x_H < pre->x_H_limit_KHe)) { + + Doppler = 2.*_k_B_*Tmat/(_m_H_*_not4_*_c_*_c_); + Doppler = _c_*_L_He_2p_*sqrt(Doppler); + gamma_2Ps = 3.*_A2P_s_*pre->fHe*(1.-x_He)*_c_*_c_ + /(sqrt(_PI_)*_sigma_He_2Ps_*8.*_PI_*Doppler*(1.-x_H)) + /pow(_c_*_L_He_2p_,2); + pb = 0.36; + qb = pre->fudge_He; + AHcon = _A2P_s_/(1.+pb*pow(gamma_2Ps,qb)); + K_He=1./((_A2P_s_*pHe_s+AHcon)*3.*n_He*(1.-x_He)); + } + + /* In modes where triple He is added (>=3), calculate the triple He CfHe_t */ + if (Heflag >= 3) { + Rdown_trip = _a_trip_/(sq_0*pow((1.+sq_0),(1.-_b_trip_)) * pow((1.+sq_1),(1.+_b_trip_))); + switch (pre->photoion_mode){ + case recfast_photoion_Tmat: + Rup_trip = Rdown_trip*exp(-_h_P_*_c_*_L_He2St_ion_/(_k_B_*Tmat))*pow(pre->CR*Tmat,1.5)*4./3.; + break; + case recfast_photoion_Trad: + default: + Rup_trip = _a_trip_/(sqrt(Trad/_T_0_)*pow((1.+sqrt(Trad/_T_0_)),(1.-_b_trip_)) * pow((1.+sqrt(Trad/_T_1_)),(1.+_b_trip_))) *exp(-_h_P_*_c_*_L_He2St_ion_/(_k_B_*Trad))*pow(pre->CR*Trad,1.5)*4./3.; + break; + } + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + /** - Rescale by various powers of fsR = relative alpha and meR = relative m_e (see e.g. 1705.03925) */ + Rdown_trip *= pre->fsR*pre->fsR/pre->meR/pre->meR; + Rup_trip *= pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->meR; + } + + tauHe_t = _A2P_t_*n_He*(1.-x_He)*3./(8.*_PI_*Hz*pow(_L_He_2Pt_,3)); + pHe_t = (1. - exp(-tauHe_t))/tauHe_t; + CL_PSt = _h_P_*_c_*(_L_He_2Pt_ - _L_He_2St_)/_k_B_; + /* In triple He default mode, or mode 5, take simple term */ + if ((Heflag == 3) || (Heflag == 5) || (x_H >= pre->x_H_limit_CfHe_t)) { + CfHe_t = _A2P_t_*pHe_t*exp(-CL_PSt/Tmat); + CfHe_t = CfHe_t/(Rup_trip+CfHe_t); + } + /* In triple He doppler mode (4) or all mode (>=6), take doppler corrections */ + else { + Doppler = 2.*_k_B_*Tmat/(_m_H_*_not4_*_c_*_c_); + Doppler = _c_*_L_He_2Pt_*sqrt(Doppler); + gamma_2Pt = 3.*_A2P_t_*pre->fHe*(1.-x_He)*_c_*_c_ + /(sqrt(_PI_)*_sigma_He_2Pt_*8.*_PI_*Doppler*(1.-x_H)) + /pow(_c_*_L_He_2Pt_,2); + pb = 0.66; + qb = 0.9; + AHcon = _A2P_t_/(1.+pb*pow(gamma_2Pt,qb))/3.; + CfHe_t = (_A2P_t_*pHe_t+AHcon)*exp(-CL_PSt/Tmat); + CfHe_t = CfHe_t/(Rup_trip+CfHe_t); + } + } + } + + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + /** - Rescale temperatures by various powers of fsR = relative alpha and meR = relative m_e (see e.g. 1705.03925) */ + Rdown_He *= pre->fsR*pre->fsR/pre->meR/pre->meR; + Rup_He *= pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->fsR*pre->meR; + } + + /** - Final helium equations, again fudged Peebles' equations are used */ + if (x_He < 1.e-15){ + *dxHe_dz=0.; + } + else { + + /* Calculate first the boltzmann factor (limited for numerical reasons) */ + if (pre->CDB_He2s2p/Tmat < pre->max_exp_boltz){ + He_Boltz=exp(pre->CDB_He2s2p/Tmat); + } + else{ + He_Boltz=exp(pre->max_exp_boltz); + } + + /* Varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + K_He /= pow(pre->fsR*pre->fsR*pre->meR,3); + A2s1sHe *= pow(pre->fsR, 8)*pre->meR; + } + C_He = (1. + K_He*A2s1sHe*n_He*(1.-x_He)*He_Boltz)/(1. + K_He*(A2s1sHe+Rup_He)*n_He*(1.-x_He)*He_Boltz); + + /** Final He quations by Peebles with K_He*/ + *dxHe_dz = (x*x_He*nH*Rdown_He - Rup_He*(1.-x_He)*exp(-pre->CL_He/Tmat)) * C_He / (Hz*(1+z)); + + /* following is from recfast 1.4 (now reordered) */ + /* this correction is not self-consistent when there is energy injection from dark matter, and leads to nan's at small redshift (unimportant when reionization takes over before that redshift) */ + /* Corrections due to triple helium, only when Heflag >=3 */ + if (Heflag >= 3){ + /** CfHe_t correction */ + *dxHe_dz += (x*x_He*nH*Rdown_trip - (1.-x_He)*3.*Rup_trip*exp(-pre->CL_Het/Tmat)) *CfHe_t/(Hz*(1.+z)); + } + /* end of new recfast 1.4 piece */ + } + + /** - No He Energy injection */ + + return _SUCCESS_; +} diff --git a/external/RecfastCLASS/wrap_recfast.h b/external/RecfastCLASS/wrap_recfast.h new file mode 100644 index 00000000..9b2e0d3a --- /dev/null +++ b/external/RecfastCLASS/wrap_recfast.h @@ -0,0 +1,142 @@ +#ifndef __RECFAST_CLASS__ +#define __RECFAST_CLASS__ + +#include "common.h" //Use here ONLY the things required for defining the struct (i.e. common.h for the ErrorMsg) + +// By default, recfast assumes photo-ionization coefficients depending on Tmat +// However, this is an approximation (see e.g. arXiV:1605.03928 page 10, arXiV:1503.04827 page 2, right column) +// We thus also give the user the ability to use the dependence on Tgamma = T_photon(z) = Tcmb * (1+z) instead +enum recfast_photoion_modes {recfast_photoion_Tmat, recfast_photoion_Trad}; + +struct thermorecfast { + + double CDB; /**< defined as in RECFAST */ + double CR; /**< defined as in RECFAST */ + double CK; /**< defined as in RECFAST */ + double CL; /**< defined as in RECFAST */ + double fHe; /**< defined as in RECFAST */ + double YHe; + double CDB_He; /**< defined as in RECFAST */ + double CK_He; /**< defined as in RECFAST */ + double CL_He; /**< defined as in RECFAST */ + double CL_Het; + double H_frac; /**< defined as in RECFAST */ + double Tnow; /**< defined as in RECFAST */ + double Nnow; /**< defined as in RECFAST */ + double CDB_He2s2p; /**< Bfact in RECFAST */ + double CB1; /**< defined as in RECFAST */ + double CB1_He1; /**< defined as in RECFAST */ + double CB1_He2; /**< defined as in RECFAST */ + + double H0; + + double AGauss1; + double AGauss2; + double zGauss1; + double zGauss2; + double wGauss1; + double wGauss2; + int Heswitch; + int Hswitch; + double x_H0_trigger2; + double x_He0_trigger2; + double z_switch_late; + + double x_He_trigger_small; + double fudge_He; + double fudge_H; + double x_H_limit_KHe; + double x_H_limit_CfHe_t; + + double max_exp_boltz; + double Bfact; + double CT; + + /* Varying fundamental constants (fs = fine structure = alpha, me = + effective electron mass) */ + double fsR, meR; + + enum recfast_photoion_modes photoion_mode; + + ErrorMsg error_message; + +}; + + +/**************************************************************/ + +/* Boilerplate for C++ */ +#ifdef __cplusplus +extern "C" { +#endif + + int recfast_init(struct precision* ppr, + struct background* pba, + struct thermodynamics * pth, + struct thermorecfast * precfast, + enum recfast_photoion_modes recfast_photoion_mode, + double fHe); + + int recfast_dx_H_dz(struct thermodynamics* pth, struct thermorecfast * pre, + double x_H, double x, double n, + double z, double Hz, double Tmat, double Trad, + double* dxH_dz); + + int recfast_dx_He_dz(struct thermodynamics* pth, struct thermorecfast * pre, + double x_He, double x, double x_H, double n, + double z, double Hz, double Tmat, double Trad, + double* dxHe_dz); +#ifdef __cplusplus +} +#endif + +/** + * @name Some specific constants needed by RECFAST: + */ + +//@{ + +#define _Lambda_ 8.2245809 +#define _Lambda_He_ 51.3 +/* Ionization inv wavenumber of hydrogen in 1/m */ +#define _L_H_ion_ 1.096787737e7 +/* Lyman-alpha transition inv wavenumber of hydrogen in 1/m, approximately 3/4 of the ionization because (1s->2p transition and E~1/lambda~1/n^2) */ +#define _L_H_alpha_ 8.225916453e6 +/* Ionization inv wavenumber of helium HeI in eV */ +#define _L_He1_ion_ 1.98310772e7 +/* Ionization inv wavenumber of helium HeII in eV */ +#define _L_He2_ion_ 4.389088863e7 +/* Inv Wavenumber of 1s->2s transition of helium HeI in eV */ +#define _L_He_2s_ 1.66277434e7 +/* Inv Wavenumber of 1s->2p transition of helium HeI in eV */ +#define _L_He_2p_ 1.71134891e7 + +#define _A2P_s_ 1.798287e9 /*updated like in recfast 1.4*/ +#define _A2P_t_ 177.58e0 /*updated like in recfast 1.4*/ +#define _L_He_2Pt_ 1.690871466e7 /*updated like in recfast 1.4*/ +#define _L_He_2St_ 1.5985597526e7 /*updated like in recfast 1.4*/ +#define _L_He2St_ion_ 3.8454693845e6 /*updated like in recfast 1.4*/ +#define _sigma_He_2Ps_ 1.436289e-22 /*updated like in recfast 1.4*/ +#define _sigma_He_2Pt_ 1.484872e-22 /*updated like in recfast 1.4*/ +//@} + +/** + * @name Some specific constants needed by recfast_derivs: + */ + +//@{ + +#define _a_PPB_ 4.309 +#define _b_PPB_ -0.6166 +#define _c_PPB_ 0.6703 +#define _d_PPB_ 0.5300 +#define _T_0_ pow(10.,0.477121) /* from recfast 1.4 */ +#define _a_VF_ pow(10.,-16.744) +#define _b_VF_ 0.711 +#define _T_1_ pow(10.,5.114) +#define _a_trip_ pow(10.,-16.306) /* from recfast 1.4 */ +#define _b_trip_ 0.761 /* from recfast 1.4 */ + +//@} + +#endif diff --git a/bbn/sBBN.dat b/external/bbn/sBBN.dat similarity index 97% rename from bbn/sBBN.dat rename to external/bbn/sBBN.dat index 26ba7b04..5eae08bd 100644 --- a/bbn/sBBN.dat +++ b/external/bbn/sBBN.dat @@ -1,4 +1,4 @@ -# standard BBN prediction of the primordial Helium abundance $Y_p$ as +# standard BBN prediction for primordial Helium mass fraction $Y_p$ as # function of the baryon density $\omega_b h^2$ and number of extra # radiation degrees of freedom $\Delta N$. Impact of chemical # potential of electron neutrinos neglected in this version. @@ -7,8 +7,8 @@ # lifetime of 885.7 s, using a network of 26 nuclides and 100 # reactions. For details see arXiv:0712.2826 by J. Hamann, # J. Lesgourgues and G. Mangano -# -# format: first line must contain (num_ombh2,num_DeltaN), +# +# format: first line must contain (num_ombh2,num_DeltaN), # other lines must contain (ombh2,DeltaN,YHe) # blank lines and lines starting with # neglected @@ -40,7 +40,7 @@ 0.036 -3.0 0.199655 0.038 -3.0 0.200148 0.040 -3.0 0.200603 - + 0.005 -2.0 0.198733 0.007 -2.0 0.203575 0.009 -2.0 0.206688 @@ -67,7 +67,7 @@ 0.036 -2.0 0.220601 0.038 -2.0 0.221106 0.040 -2.0 0.221611 - + 0.005 -1.0 0.215291 0.007 -1.0 0.220412 0.009 -1.0 0.223655 @@ -94,7 +94,7 @@ 0.036 -1.0 0.237761 0.038 -1.0 0.238252 0.040 -1.0 0.238702 - + 0.005 0.0 0.229294 0.007 0.0 0.234696 0.009 0.0 0.238053 @@ -121,7 +121,7 @@ 0.036 0.0 0.252236 0.038 0.0 0.252725 0.040 0.0 0.253202 - + 0.005 1.0 0.241373 0.007 1.0 0.247034 0.009 1.0 0.250510 @@ -148,7 +148,7 @@ 0.036 1.0 0.264785 0.038 1.0 0.265266 0.040 1.0 0.265724 - + 0.005 2.0 0.252003 0.007 2.0 0.257924 0.009 2.0 0.261466 @@ -175,7 +175,7 @@ 0.036 2.0 0.275813 0.038 2.0 0.276297 0.040 2.0 0.276730 - + 0.005 3.0 0.261458 0.007 3.0 0.267617 0.009 3.0 0.271270 @@ -202,7 +202,7 @@ 0.036 3.0 0.285642 0.038 3.0 0.286136 0.040 3.0 0.286563 - + 0.005 4.0 0.269959 0.007 4.0 0.276363 0.009 4.0 0.280091 @@ -229,7 +229,7 @@ 0.036 4.0 0.294538 0.038 4.0 0.294988 0.040 4.0 0.295446 - + 0.005 5.0 0.277687 0.007 5.0 0.284287 0.009 5.0 0.288140 @@ -256,7 +256,7 @@ 0.036 5.0 0.302617 0.038 5.0 0.303076 0.040 5.0 0.303521 - + 0.005 6.0 0.284707 0.007 6.0 0.291575 0.009 6.0 0.295503 @@ -283,7 +283,7 @@ 0.036 6.0 0.310032 0.038 6.0 0.310467 0.040 6.0 0.310901 - + 0.005 7.0 0.291188 0.007 7.0 0.298279 0.009 7.0 0.302304 @@ -310,4 +310,3 @@ 0.036 7.0 0.316840 0.038 7.0 0.317298 0.040 7.0 0.317730 - diff --git a/bbn/sBBN_2017.dat b/external/bbn/sBBN_2017.dat similarity index 99% rename from bbn/sBBN_2017.dat rename to external/bbn/sBBN_2017.dat index 6968d4a8..015b17b9 100644 --- a/bbn/sBBN_2017.dat +++ b/external/bbn/sBBN_2017.dat @@ -1,4 +1,4 @@ -# standard BBN prediction of the primordial Helium abundance $Y_p$ as +# standard BBN prediction for primordial Helium mass fraction $Y_p$ as # function of the baryon density $\omega_b h^2$ and number of extra # radiation degrees of freedom $\Delta N = N_eff-3.046$. Impact of # chemical potential of electron neutrinos neglected in this version. diff --git a/bbn/sBBN_2017_marcucci.dat b/external/bbn/sBBN_2017_marcucci.dat similarity index 99% rename from bbn/sBBN_2017_marcucci.dat rename to external/bbn/sBBN_2017_marcucci.dat index 25f7ed8a..2b142741 100644 --- a/bbn/sBBN_2017_marcucci.dat +++ b/external/bbn/sBBN_2017_marcucci.dat @@ -1,4 +1,4 @@ -# standard BBN prediction of the primordial Helium abundance $Y_p$ as +# standard BBN prediction for primordial Helium mass fraction $Y_p$ as # function of the baryon density $\omega_b h^2$ and number of extra # radiation degrees of freedom $\Delta N = N_eff-3.046$. Impact of # chemical potential of electron neutrinos neglected in this version. diff --git a/external/distortions/FIRAS_branching_ratios.dat b/external/distortions/FIRAS_branching_ratios.dat new file mode 100644 index 00000000..9b9c7c3a --- /dev/null +++ b/external/distortions/FIRAS_branching_ratios.dat @@ -0,0 +1,403 @@ +# In the file there is: z, J_T, J_y, J_mu, E_i (i=1-6) +# The first line contains the number of lines and the number of columns. +400 6 +1.020000e+03 3.887058e-05 2.501169e-01 -1.626767e-04 1.694690e-05 -3.707366e-05 2.940999e-05 -3.526421e-04 3.697128e-03 2.353489e-02 +1.041956e+03 5.125983e-05 2.501124e-01 -2.172354e-04 2.203433e-05 -4.785072e-05 5.282082e-05 -3.172597e-04 3.633614e-03 2.346040e-02 +1.064384e+03 6.610213e-05 2.501070e-01 -2.830741e-04 2.830869e-05 -6.123742e-05 8.170672e-05 -2.730221e-04 3.555874e-03 2.337188e-02 +1.087295e+03 8.326127e-05 2.501007e-01 -3.593775e-04 3.574811e-05 -7.701005e-05 1.159189e-04 -2.207299e-04 3.464200e-03 2.326814e-02 +1.110699e+03 1.026012e-04 2.500935e-01 -4.453306e-04 4.433014e-05 -9.494314e-05 1.553260e-04 -1.609276e-04 3.358537e-03 2.315039e-02 +1.134607e+03 1.239857e-04 2.500854e-01 -5.401179e-04 5.403308e-05 -1.148095e-04 1.997817e-04 -9.415598e-05 3.239205e-03 2.302339e-02 +1.159029e+03 1.472787e-04 2.500763e-01 -6.429241e-04 6.483430e-05 -1.363847e-04 2.491658e-04 -2.115560e-05 3.106996e-03 2.288175e-02 +1.183978e+03 1.723182e-04 2.500665e-01 -7.528156e-04 7.670337e-05 -1.594154e-04 3.032671e-04 5.744458e-05 2.961721e-03 2.273455e-02 +1.209463e+03 1.986895e-04 2.500559e-01 -8.677080e-04 8.952274e-05 -1.833925e-04 3.614558e-04 1.399311e-04 2.805532e-03 2.257647e-02 +1.235497e+03 2.258357e-04 2.500447e-01 -9.848667e-04 1.031265e-04 -2.076573e-04 4.228323e-04 2.242685e-04 2.641258e-03 2.241648e-02 +1.262091e+03 2.531978e-04 2.500332e-01 -1.101549e-03 1.173479e-04 -2.315529e-04 4.864851e-04 3.080841e-04 2.472500e-03 2.225363e-02 +1.289258e+03 2.801195e-04 2.500215e-01 -1.214578e-03 1.319810e-04 -2.543323e-04 5.513347e-04 3.891376e-04 2.301828e-03 2.209412e-02 +1.317009e+03 3.056625e-04 2.500100e-01 -1.319525e-03 1.467055e-04 -2.749941e-04 6.157734e-04 4.642423e-04 2.133685e-03 2.194401e-02 +1.345358e+03 3.288378e-04 2.499989e-01 -1.411736e-03 1.611804e-04 -2.924927e-04 6.781083e-04 5.301934e-04 1.972051e-03 2.181080e-02 +1.374317e+03 3.486661e-04 2.499887e-01 -1.486604e-03 1.750674e-04 -3.057941e-04 7.366585e-04 5.836926e-04 1.821948e-03 2.170171e-02 +1.403899e+03 3.643954e-04 2.499796e-01 -1.540639e-03 1.880896e-04 -3.141216e-04 7.900669e-04 6.223524e-04 1.686207e-03 2.162205e-02 +1.434118e+03 3.754988e-04 2.499719e-01 -1.571458e-03 2.000307e-04 -3.169588e-04 8.373050e-04 6.443539e-04 1.568217e-03 2.157281e-02 +1.464988e+03 3.814594e-04 2.499656e-01 -1.576727e-03 2.106771e-04 -3.137995e-04 8.773579e-04 6.479504e-04 1.470815e-03 2.155648e-02 +1.496522e+03 3.819292e-04 2.499609e-01 -1.554888e-03 2.198795e-04 -3.043078e-04 9.095207e-04 6.320001e-04 1.396117e-03 2.157511e-02 +1.528735e+03 3.774859e-04 2.499577e-01 -1.508643e-03 2.278428e-04 -2.890857e-04 9.348019e-04 5.983763e-04 1.341511e-03 2.162302e-02 +1.561641e+03 3.690231e-04 2.499556e-01 -1.442148e-03 2.348924e-04 -2.690521e-04 9.547899e-04 5.501392e-04 1.302402e-03 2.169830e-02 +1.595255e+03 3.574341e-04 2.499543e-01 -1.359556e-03 2.413538e-04 -2.451261e-04 9.710679e-04 4.902679e-04 1.274414e-03 2.179599e-02 +1.629593e+03 3.435452e-04 2.499534e-01 -1.264672e-03 2.475417e-04 -2.181437e-04 9.851596e-04 4.214629e-04 1.253336e-03 2.190907e-02 +1.664670e+03 3.280666e-04 2.499528e-01 -1.160694e-03 2.537530e-04 -1.887934e-04 9.984566e-04 3.459530e-04 1.235610e-03 2.203336e-02 +1.700503e+03 3.116965e-04 2.499522e-01 -1.050759e-03 2.602831e-04 -1.577464e-04 1.012327e-03 2.660314e-04 1.217046e-03 2.216634e-02 +1.737106e+03 2.950971e-04 2.499513e-01 -9.378353e-04 2.674142e-04 -1.256406e-04 1.028100e-03 1.837116e-04 1.194281e-03 2.229817e-02 +1.774498e+03 2.785331e-04 2.499500e-01 -8.230154e-04 2.752936e-04 -9.268983e-05 1.046411e-03 9.975209e-05 1.165729e-03 2.243056e-02 +1.812694e+03 2.620226e-04 2.499483e-01 -7.062305e-04 2.839842e-04 -5.884937e-05 1.067498e-03 1.422566e-05 1.130740e-03 2.256514e-02 +1.851712e+03 2.455800e-04 2.499461e-01 -5.873949e-04 2.935477e-04 -2.407047e-05 1.091586e-03 -7.293349e-05 1.089163e-03 2.270147e-02 +1.891571e+03 2.291854e-04 2.499434e-01 -4.662669e-04 3.040317e-04 1.173028e-05 1.118829e-03 -1.618027e-04 1.040795e-03 2.284464e-02 +1.932287e+03 2.127089e-04 2.499402e-01 -3.421088e-04 3.154379e-04 4.874237e-05 1.149153e-03 -2.529808e-04 9.854580e-04 2.299168e-02 +1.973879e+03 1.959984e-04 2.499366e-01 -2.140831e-04 3.277592e-04 8.717602e-05 1.182446e-03 -3.471365e-04 9.233035e-04 2.314394e-02 +2.016367e+03 1.789044e-04 2.499326e-01 -8.136359e-05 3.409890e-04 1.272419e-04 1.218611e-03 -4.448637e-04 8.553700e-04 2.329816e-02 +2.059770e+03 1.613409e-04 2.499282e-01 5.658235e-05 3.551449e-04 1.690818e-04 1.257649e-03 -5.465994e-04 7.810175e-04 2.345767e-02 +2.104107e+03 1.432914e-04 2.499234e-01 1.999669e-04 3.702705e-04 2.127693e-04 1.299698e-03 -6.524504e-04 7.001338e-04 2.362219e-02 +2.149398e+03 1.247428e-04 2.499181e-01 3.489868e-04 3.864105e-04 2.583741e-04 1.344907e-03 -7.625299e-04 6.126411e-04 2.379300e-02 +2.195664e+03 1.056822e-04 2.499123e-01 5.038406e-04 4.036111e-04 3.059667e-04 1.393426e-03 -8.769315e-04 5.183449e-04 2.397124e-02 +2.242926e+03 8.609862e-05 2.499061e-01 6.647394e-04 4.219263e-04 3.556242e-04 1.445433e-03 -9.958510e-04 4.169303e-04 2.415628e-02 +2.291205e+03 6.598152e-05 2.498993e-01 8.318990e-04 4.414133e-04 4.074269e-04 1.501113e-03 -1.119406e-03 3.077444e-04 2.434811e-02 +2.340524e+03 4.532043e-05 2.498920e-01 1.005535e-03 4.621290e-04 4.614551e-04 1.560656e-03 -1.247779e-03 1.903330e-04 2.454580e-02 +2.390904e+03 2.409826e-05 2.498841e-01 1.185906e-03 4.841322e-04 5.177998e-04 1.624247e-03 -1.381156e-03 6.421976e-05 2.474943e-02 +2.442368e+03 2.285347e-06 2.498756e-01 1.373346e-03 5.074839e-04 5.765734e-04 1.692076e-03 -1.519779e-03 -7.085542e-05 2.496025e-02 +2.494940e+03 -2.014944e-05 2.498665e-01 1.568203e-03 5.322460e-04 6.378906e-04 1.764319e-03 -1.663887e-03 -2.156770e-04 2.517823e-02 +2.548644e+03 -4.323777e-05 2.498567e-01 1.770823e-03 5.584801e-04 7.018673e-04 1.841172e-03 -1.813731e-03 -3.702273e-04 2.540542e-02 +2.603504e+03 -6.701865e-05 2.498463e-01 1.981606e-03 5.862508e-04 7.686325e-04 1.922824e-03 -1.969589e-03 -5.349388e-04 2.564170e-02 +2.659545e+03 -9.153603e-05 2.498351e-01 2.200984e-03 6.156244e-04 8.383245e-04 2.009473e-03 -2.131766e-03 -7.100780e-04 2.588684e-02 +2.716792e+03 -1.168339e-04 2.498232e-01 2.429387e-03 6.466673e-04 9.110816e-04 2.101317e-03 -2.300557e-03 -8.958322e-04 2.614033e-02 +2.775271e+03 -1.429559e-04 2.498105e-01 2.667254e-03 6.794484e-04 9.870439e-04 2.198559e-03 -2.476274e-03 -1.092698e-03 2.640280e-02 +2.835009e+03 -1.699436e-04 2.497970e-01 2.915034e-03 7.140459e-04 1.066360e-03 2.301433e-03 -2.659209e-03 -1.301086e-03 2.667414e-02 +2.896033e+03 -1.978380e-04 2.497827e-01 3.173182e-03 7.505399e-04 1.149179e-03 2.410177e-03 -2.849666e-03 -1.521694e-03 2.695537e-02 +2.958370e+03 -2.266807e-04 2.497675e-01 3.442154e-03 7.890108e-04 1.235652e-03 2.525030e-03 -3.047946e-03 -1.755156e-03 2.724726e-02 +3.022050e+03 -2.565184e-04 2.497514e-01 3.722458e-03 8.295466e-04 1.325944e-03 2.646254e-03 -3.254397e-03 -2.001994e-03 2.755037e-02 +3.087099e+03 -2.874045e-04 2.497343e-01 4.014664e-03 8.722444e-04 1.420240e-03 2.774136e-03 -3.469414e-03 -2.262595e-03 2.786506e-02 +3.153550e+03 -3.193924e-04 2.497163e-01 4.319346e-03 9.172017e-04 1.518727e-03 2.908965e-03 -3.693399e-03 -2.537334e-03 2.819169e-02 +3.221430e+03 -3.525375e-04 2.496972e-01 4.637090e-03 9.645177e-04 1.621594e-03 3.051035e-03 -3.926757e-03 -2.826632e-03 2.853062e-02 +3.290772e+03 -3.869058e-04 2.496770e-01 4.968574e-03 1.014302e-03 1.729058e-03 3.200662e-03 -4.169927e-03 -3.131171e-03 2.888255e-02 +3.361606e+03 -4.225676e-04 2.496557e-01 5.314515e-03 1.066670e-03 1.841348e-03 3.358176e-03 -4.423365e-03 -3.451768e-03 2.924835e-02 +3.433965e+03 -4.595936e-04 2.496332e-01 5.675627e-03 1.121734e-03 1.958692e-03 3.523903e-03 -4.687519e-03 -3.789164e-03 2.962860e-02 +3.507881e+03 -4.980577e-04 2.496094e-01 6.052665e-03 1.179617e-03 2.081329e-03 3.698190e-03 -4.962877e-03 -4.144134e-03 3.002413e-02 +3.583389e+03 -5.380412e-04 2.495844e-01 6.446457e-03 1.240450e-03 2.209521e-03 3.881414e-03 -5.249982e-03 -4.517222e-03 3.043510e-02 +3.660522e+03 -5.796267e-04 2.495580e-01 6.857845e-03 1.304369e-03 2.343536e-03 4.073961e-03 -5.549390e-03 -4.908986e-03 3.086178e-02 +3.739315e+03 -6.228968e-04 2.495302e-01 7.287672e-03 1.371508e-03 2.483639e-03 4.276217e-03 -5.861646e-03 -5.319906e-03 3.130407e-02 +3.819804e+03 -6.679420e-04 2.495010e-01 7.736864e-03 1.442016e-03 2.630123e-03 4.488598e-03 -6.187342e-03 -5.750799e-03 3.176302e-02 +3.902026e+03 -7.148578e-04 2.494702e-01 8.206402e-03 1.516051e-03 2.783296e-03 4.711543e-03 -6.527065e-03 -6.202414e-03 3.223926e-02 +3.986017e+03 -7.637401e-04 2.494378e-01 8.697269e-03 1.593772e-03 2.943467e-03 4.945491e-03 -6.881416e-03 -6.675596e-03 3.273375e-02 +4.071817e+03 -8.146874e-04 2.494037e-01 9.210477e-03 1.675341e-03 3.110952e-03 5.190893e-03 -7.251007e-03 -7.171174e-03 3.324741e-02 +4.159463e+03 -8.678080e-04 2.493679e-01 9.747144e-03 1.760939e-03 3.286101e-03 5.448244e-03 -7.636503e-03 -7.689828e-03 3.378045e-02 +4.248996e+03 -9.232130e-04 2.493302e-01 1.030841e-02 1.850750e-03 3.469267e-03 5.718048e-03 -8.038604e-03 -8.232444e-03 3.433364e-02 +4.340456e+03 -9.810135e-04 2.492907e-01 1.089543e-02 1.944960e-03 3.660809e-03 6.000813e-03 -8.457964e-03 -8.799552e-03 3.490825e-02 +4.433885e+03 -1.041329e-03 2.492491e-01 1.150943e-02 2.043769e-03 3.861106e-03 6.297080e-03 -8.895361e-03 -9.392241e-03 3.550196e-02 +4.529325e+03 -1.104288e-03 2.492054e-01 1.215176e-02 2.147394e-03 4.070573e-03 6.607433e-03 -9.351500e-03 -1.001153e-02 3.611803e-02 +4.626819e+03 -1.170022e-03 2.491595e-01 1.282378e-02 2.256057e-03 4.289625e-03 6.932461e-03 -9.827175e-03 -1.065855e-02 3.675436e-02 +4.726412e+03 -1.238662e-03 2.491113e-01 1.352685e-02 2.369981e-03 4.518682e-03 7.272764e-03 -1.032307e-02 -1.133411e-02 3.741779e-02 +4.828148e+03 -1.310345e-03 2.490608e-01 1.426245e-02 2.489414e-03 4.758199e-03 7.628991e-03 -1.084006e-02 -1.203953e-02 3.810098e-02 +4.932075e+03 -1.385212e-03 2.490077e-01 1.503212e-02 2.614618e-03 5.008641e-03 8.001831e-03 -1.137891e-02 -1.277520e-02 3.880874e-02 +5.038238e+03 -1.463406e-03 2.489519e-01 1.583739e-02 2.745853e-03 5.270479e-03 8.391967e-03 -1.194042e-02 -1.354195e-02 3.954046e-02 +5.146687e+03 -1.545082e-03 2.488934e-01 1.668008e-02 2.883455e-03 5.544281e-03 8.800297e-03 -1.252551e-02 -1.434097e-02 4.029865e-02 +5.257470e+03 -1.630434e-03 2.488318e-01 1.756270e-02 3.027920e-03 5.830842e-03 9.228211e-03 -1.313553e-02 -1.517474e-02 4.108259e-02 +5.370638e+03 -1.719661e-03 2.487670e-01 1.848783e-02 3.179771e-03 6.130993e-03 9.677168e-03 -1.377186e-02 -1.604600e-02 4.189222e-02 +5.486241e+03 -1.812972e-03 2.486986e-01 1.945815e-02 3.339538e-03 6.445584e-03 1.014864e-02 -1.443593e-02 -1.695737e-02 4.272780e-02 +5.604333e+03 -1.910758e-03 2.486264e-01 2.047761e-02 3.507845e-03 6.775818e-03 1.064425e-02 -1.512991e-02 -1.791134e-02 4.359021e-02 +5.724967e+03 -2.013555e-03 2.485501e-01 2.155125e-02 3.685400e-03 7.123185e-03 1.116577e-02 -1.585656e-02 -1.891009e-02 4.448447e-02 +5.848198e+03 -2.121907e-03 2.484695e-01 2.268413e-02 3.872909e-03 7.489179e-03 1.171497e-02 -1.661874e-02 -1.995608e-02 4.540970e-02 +5.974081e+03 -2.236313e-03 2.483842e-01 2.388088e-02 4.071009e-03 7.875155e-03 1.229338e-02 -1.741884e-02 -2.105090e-02 4.637222e-02 +6.102674e+03 -2.357098e-03 2.482941e-01 2.514426e-02 4.280020e-03 8.281828e-03 1.290153e-02 -1.825792e-02 -2.219428e-02 4.736835e-02 +6.234034e+03 -2.484541e-03 2.481991e-01 2.647653e-02 4.500174e-03 8.709744e-03 1.353967e-02 -1.913660e-02 -2.338541e-02 4.839555e-02 +6.368223e+03 -2.618915e-03 2.480992e-01 2.787996e-02 4.731707e-03 9.159450e-03 1.420808e-02 -2.005541e-02 -2.462308e-02 4.945648e-02 +6.505299e+03 -2.760415e-03 2.479942e-01 2.935639e-02 4.974872e-03 9.631378e-03 1.490707e-02 -2.101454e-02 -2.590658e-02 5.054887e-02 +6.645327e+03 -2.909116e-03 2.478839e-01 3.090709e-02 5.229952e-03 1.012580e-02 1.563705e-02 -2.201371e-02 -2.723546e-02 5.166481e-02 +6.788368e+03 -3.065085e-03 2.477683e-01 3.253331e-02 5.497231e-03 1.064299e-02 1.639845e-02 -2.305244e-02 -2.860889e-02 5.280442e-02 +6.934488e+03 -3.228406e-03 2.476471e-01 3.423642e-02 5.777012e-03 1.118324e-02 1.719172e-02 -2.413033e-02 -3.002622e-02 5.396696e-02 +7.083754e+03 -3.399306e-03 2.475200e-01 3.601906e-02 6.069753e-03 1.174721e-02 1.801765e-02 -2.524763e-02 -3.148720e-02 5.514649e-02 +7.236233e+03 -3.578086e-03 2.473869e-01 3.788452e-02 6.375990e-03 1.233572e-02 1.887715e-02 -2.640477e-02 -3.299107e-02 5.634404e-02 +7.391993e+03 -3.765048e-03 2.472475e-01 3.983608e-02 6.696261e-03 1.294958e-02 1.977116e-02 -2.760238e-02 -3.453799e-02 5.754789e-02 +7.551107e+03 -3.960515e-03 2.471015e-01 4.187724e-02 7.031130e-03 1.358966e-02 2.070062e-02 -2.884078e-02 -3.612698e-02 5.876323e-02 +7.713645e+03 -4.164871e-03 2.469486e-01 4.401205e-02 7.381228e-03 1.425692e-02 2.166648e-02 -3.012044e-02 -3.775707e-02 5.998283e-02 +7.879682e+03 -4.378509e-03 2.467884e-01 4.624464e-02 7.747198e-03 1.495236e-02 2.266969e-02 -3.144170e-02 -3.942704e-02 6.120403e-02 +8.049293e+03 -4.601823e-03 2.466207e-01 4.857917e-02 8.129685e-03 1.567694e-02 2.371122e-02 -3.280492e-02 -4.113607e-02 6.242224e-02 +8.222555e+03 -4.835242e-03 2.464451e-01 5.102014e-02 8.529383e-03 1.643171e-02 2.479197e-02 -3.421026e-02 -4.288191e-02 6.363363e-02 +8.399547e+03 -5.079223e-03 2.462613e-01 5.357237e-02 8.947026e-03 1.721772e-02 2.591282e-02 -3.565763e-02 -4.466262e-02 6.483386e-02 +8.580348e+03 -5.334226e-03 2.460688e-01 5.624068e-02 9.383353e-03 1.803604e-02 2.707465e-02 -3.714702e-02 -4.647560e-02 6.601368e-02 +8.765041e+03 -5.600719e-03 2.458673e-01 5.903001e-02 9.839115e-03 1.888774e-02 2.827830e-02 -3.867830e-02 -4.831863e-02 6.716589e-02 +8.953709e+03 -5.879218e-03 2.456563e-01 6.194578e-02 1.031513e-02 1.977392e-02 2.952449e-02 -4.025074e-02 -5.018825e-02 6.828884e-02 +9.146439e+03 -6.170252e-03 2.454355e-01 6.499356e-02 1.081223e-02 2.069568e-02 3.081389e-02 -4.186369e-02 -5.208054e-02 6.936729e-02 +9.343317e+03 -6.474351e-03 2.452044e-01 6.817893e-02 1.133125e-02 2.165414e-02 3.214716e-02 -4.351628e-02 -5.399162e-02 7.039999e-02 +9.544433e+03 -6.792072e-03 2.449625e-01 7.150777e-02 1.187307e-02 2.265041e-02 3.352486e-02 -4.520745e-02 -5.591707e-02 7.137283e-02 +9.749878e+03 -7.124019e-03 2.447093e-01 7.498645e-02 1.243862e-02 2.368561e-02 3.494733e-02 -4.693535e-02 -5.785074e-02 7.228139e-02 +9.959745e+03 -7.470800e-03 2.444444e-01 7.862138e-02 1.302884e-02 2.476084e-02 3.641491e-02 -4.869823e-02 -5.978672e-02 7.311495e-02 +1.017413e+04 -7.833027e-03 2.441671e-01 8.241902e-02 1.364468e-02 2.587723e-02 3.792789e-02 -5.049429e-02 -6.171881e-02 7.385918e-02 +1.039313e+04 -8.211366e-03 2.438770e-01 8.638639e-02 1.428714e-02 2.703584e-02 3.948624e-02 -5.232075e-02 -6.363927e-02 7.450450e-02 +1.061684e+04 -8.606510e-03 2.435734e-01 9.053084e-02 1.495728e-02 2.823773e-02 4.108975e-02 -5.417449e-02 -6.553982e-02 7.503161e-02 +1.084537e+04 -9.019153e-03 2.432557e-01 9.485970e-02 1.565614e-02 2.948397e-02 4.273821e-02 -5.605223e-02 -6.741199e-02 7.543400e-02 +1.107882e+04 -9.450011e-03 2.429234e-01 9.938055e-02 1.638478e-02 3.077558e-02 4.443121e-02 -5.795032e-02 -6.924615e-02 7.569716e-02 +1.131729e+04 -9.899863e-03 2.425757e-01 1.041016e-01 1.714436e-02 3.211347e-02 4.616784e-02 -5.986406e-02 -7.103120e-02 7.579677e-02 +1.156090e+04 -1.036950e-02 2.422120e-01 1.090313e-01 1.793601e-02 3.349857e-02 4.794706e-02 -6.178818e-02 -7.275539e-02 7.572919e-02 +1.180975e+04 -1.085970e-02 2.418314e-01 1.141780e-01 1.876090e-02 3.493176e-02 4.976783e-02 -6.371766e-02 -7.440649e-02 7.547247e-02 +1.206395e+04 -1.137132e-02 2.414334e-01 1.195506e-01 1.962021e-02 3.641383e-02 5.162856e-02 -6.564615e-02 -7.597108e-02 7.501198e-02 +1.232363e+04 -1.190524e-02 2.410171e-01 1.251585e-01 2.051521e-02 3.794540e-02 5.352709e-02 -6.756630e-02 -7.743407e-02 7.432567e-02 +1.258890e+04 -1.246235e-02 2.405816e-01 1.310113e-01 2.144712e-02 3.952710e-02 5.546125e-02 -6.947046e-02 -7.877999e-02 7.340124e-02 +1.285988e+04 -1.304356e-02 2.401262e-01 1.371186e-01 2.241721e-02 4.115951e-02 5.742870e-02 -7.135087e-02 -7.999273e-02 7.221755e-02 +1.313669e+04 -1.364983e-02 2.396500e-01 1.434907e-01 2.342678e-02 4.284289e-02 5.942602e-02 -7.319770e-02 -8.105453e-02 7.075460e-02 +1.341946e+04 -1.428217e-02 2.391519e-01 1.501383e-01 2.447716e-02 4.457742e-02 6.144948e-02 -7.500036e-02 -8.194595e-02 6.899949e-02 +1.370831e+04 -1.494156e-02 2.386312e-01 1.570721e-01 2.556965e-02 4.636324e-02 6.349532e-02 -7.674847e-02 -8.264833e-02 6.692812e-02 +1.400338e+04 -1.562905e-02 2.380867e-01 1.643031e-01 2.670560e-02 4.820029e-02 6.555909e-02 -7.843021e-02 -8.314120e-02 6.452711e-02 +1.430481e+04 -1.634571e-02 2.375174e-01 1.718432e-01 2.788637e-02 5.008808e-02 6.763509e-02 -8.003179e-02 -8.340239e-02 6.178330e-02 +1.461272e+04 -1.709267e-02 2.369223e-01 1.797042e-01 2.911330e-02 5.202605e-02 6.971748e-02 -8.153936e-02 -8.340977e-02 5.867313e-02 +1.492726e+04 -1.787101e-02 2.363002e-01 1.878979e-01 3.038777e-02 5.401361e-02 7.180032e-02 -8.293856e-02 -8.314102e-02 5.518997e-02 +1.524857e+04 -1.868191e-02 2.356499e-01 1.964371e-01 3.171111e-02 5.604959e-02 7.387608e-02 -8.421307e-02 -8.257305e-02 5.131827e-02 +1.557680e+04 -1.952656e-02 2.349703e-01 2.053348e-01 3.308466e-02 5.813241e-02 7.593633e-02 -8.534516e-02 -8.168125e-02 4.705067e-02 +1.591209e+04 -2.040616e-02 2.342601e-01 2.146039e-01 3.450976e-02 6.026051e-02 7.797260e-02 -8.631709e-02 -8.044206e-02 4.237750e-02 +1.625460e+04 -2.132192e-02 2.335180e-01 2.242578e-01 3.598772e-02 6.243204e-02 7.997577e-02 -8.711025e-02 -7.883156e-02 3.729888e-02 +1.660448e+04 -2.227511e-02 2.327426e-01 2.343104e-01 3.751979e-02 6.464420e-02 8.193457e-02 -8.770380e-02 -7.682747e-02 3.181546e-02 +1.696190e+04 -2.326700e-02 2.319326e-01 2.447759e-01 3.910720e-02 6.689399e-02 8.383735e-02 -8.807646e-02 -7.440678e-02 2.593062e-02 +1.732700e+04 -2.429888e-02 2.310865e-01 2.556682e-01 4.075116e-02 6.917841e-02 8.567238e-02 -8.820670e-02 -7.154716e-02 1.965732e-02 +1.769997e+04 -2.537204e-02 2.302028e-01 2.670019e-01 4.245280e-02 7.149356e-02 8.742623e-02 -8.807211e-02 -6.822937e-02 1.300537e-02 +1.808096e+04 -2.648779e-02 2.292799e-01 2.787919e-01 4.421309e-02 7.383458e-02 8.908368e-02 -8.764879e-02 -6.443713e-02 6.007753e-03 +1.847016e+04 -2.764747e-02 2.283164e-01 2.910531e-01 4.603303e-02 7.619658e-02 9.062938e-02 -8.691293e-02 -6.015426e-02 -1.307148e-03 +1.886773e+04 -2.885238e-02 2.273105e-01 3.038003e-01 4.791356e-02 7.857440e-02 9.204761e-02 -8.584071e-02 -5.536657e-02 -8.912289e-03 +1.927386e+04 -3.010384e-02 2.262606e-01 3.170489e-01 4.985535e-02 8.096132e-02 9.332017e-02 -8.440802e-02 -5.006854e-02 -1.675093e-02 +1.968873e+04 -3.140316e-02 2.251650e-01 3.308139e-01 5.185898e-02 8.335003e-02 9.442796e-02 -8.259092e-02 -4.425825e-02 -2.476931e-02 +2.011253e+04 -3.275164e-02 2.240219e-01 3.451108e-01 5.392503e-02 8.573323e-02 9.535188e-02 -8.036532e-02 -3.793318e-02 -3.290326e-02 +2.054546e+04 -3.415057e-02 2.228295e-01 3.599546e-01 5.605383e-02 8.810259e-02 9.607168e-02 -7.770865e-02 -3.110001e-02 -4.108822e-02 +2.098770e+04 -3.560114e-02 2.215859e-01 3.753602e-01 5.824534e-02 9.044791e-02 9.656502e-02 -7.460105e-02 -2.378001e-02 -4.922867e-02 +2.143946e+04 -3.710457e-02 2.202894e-01 3.913426e-01 6.049943e-02 9.275876e-02 9.680933e-02 -7.102288e-02 -1.599556e-02 -5.722771e-02 +2.190095e+04 -3.866205e-02 2.189379e-01 4.079165e-01 6.281598e-02 9.502468e-02 9.678199e-02 -6.695476e-02 -7.770785e-03 -6.499458e-02 +2.237237e+04 -4.027467e-02 2.175297e-01 4.250963e-01 6.519445e-02 9.723370e-02 9.645963e-02 -6.238210e-02 8.559715e-04 -7.241343e-02 +2.285394e+04 -4.194341e-02 2.160627e-01 4.428953e-01 6.763368e-02 9.937178e-02 9.581778e-02 -5.729716e-02 9.825182e-03 -7.936077e-02 +2.334587e+04 -4.366919e-02 2.145349e-01 4.613268e-01 7.013250e-02 1.014247e-01 9.483192e-02 -5.169256e-02 1.907571e-02 -8.570556e-02 +2.384840e+04 -4.545297e-02 2.129445e-01 4.804040e-01 7.268971e-02 1.033783e-01 9.347756e-02 -4.556159e-02 2.854595e-02 -9.132294e-02 +2.436173e+04 -4.729546e-02 2.112895e-01 5.001387e-01 7.530337e-02 1.052164e-01 9.173102e-02 -3.890835e-02 3.815150e-02 -9.607425e-02 +2.488612e+04 -4.919714e-02 2.095679e-01 5.205407e-01 7.797085e-02 1.069209e-01 8.956937e-02 -3.174786e-02 4.778616e-02 -9.982469e-02 +2.542180e+04 -5.115851e-02 2.077778e-01 5.416203e-01 8.068949e-02 1.084737e-01 8.696977e-02 -2.409551e-02 5.734412e-02 -1.024355e-01 +2.596901e+04 -5.318003e-02 2.059173e-01 5.633871e-01 8.345653e-02 1.098568e-01 8.390965e-02 -1.596812e-02 6.671640e-02 -1.037694e-01 +2.652799e+04 -5.526174e-02 2.039846e-01 5.858478e-01 8.626814e-02 1.110498e-01 8.037069e-02 -7.401752e-03 7.577141e-02 -1.037170e-01 +2.709901e+04 -5.740340e-02 2.019780e-01 6.090068e-01 8.911973e-02 1.120315e-01 7.633757e-02 1.554283e-03 8.436181e-02 -1.021812e-01 +2.768232e+04 -5.960477e-02 1.998957e-01 6.328687e-01 9.200667e-02 1.127803e-01 7.179499e-02 1.085035e-02 9.233940e-02 -9.906866e-02 +2.827819e+04 -6.186554e-02 1.977360e-01 6.574372e-01 9.492418e-02 1.132747e-01 6.672884e-02 2.043377e-02 9.955534e-02 -9.428897e-02 +2.888688e+04 -6.418472e-02 1.954975e-01 6.827109e-01 9.786599e-02 1.134920e-01 6.113484e-02 3.022566e-02 1.058524e-01 -8.782644e-02 +2.950867e+04 -6.656102e-02 1.931790e-01 7.086859e-01 1.008251e-01 1.134090e-01 5.501360e-02 4.013407e-02 1.110683e-01 -7.970279e-02 +3.014385e+04 -6.899313e-02 1.907791e-01 7.353582e-01 1.037945e-01 1.130025e-01 4.836580e-02 5.006703e-02 1.150407e-01 -6.993477e-02 +3.079270e+04 -7.147959e-02 1.882966e-01 7.627224e-01 1.067670e-01 1.122494e-01 4.119505e-02 5.992791e-02 1.176135e-01 -5.856149e-02 +3.145551e+04 -7.401800e-02 1.857309e-01 7.907656e-01 1.097334e-01 1.111278e-01 3.352172e-02 6.959382e-02 1.186568e-01 -4.574596e-02 +3.213260e+04 -7.660563e-02 1.830814e-01 8.194724e-01 1.126841e-01 1.096158e-01 2.537205e-02 7.893274e-02 1.180518e-01 -3.168469e-02 +3.282425e+04 -7.923976e-02 1.803475e-01 8.488270e-01 1.156096e-01 1.076917e-01 1.677227e-02 8.781266e-02 1.156787e-01 -1.658151e-02 +3.353080e+04 -8.191738e-02 1.775290e-01 8.788114e-01 1.184996e-01 1.053350e-01 7.754404e-03 9.609839e-02 1.114393e-01 -6.614905e-04 +3.425255e+04 -8.463426e-02 1.746262e-01 9.093976e-01 1.213425e-01 1.025292e-01 -1.627187e-03 1.036421e-01 1.053156e-01 1.571296e-02 +3.498984e+04 -8.738593e-02 1.716397e-01 9.405553e-01 1.241260e-01 9.925905e-02 -1.131272e-02 1.102933e-01 9.730781e-02 3.216107e-02 +3.574300e+04 -9.016791e-02 1.685700e-01 9.722542e-01 1.268380e-01 9.550915e-02 -2.124235e-02 1.159012e-01 8.741999e-02 4.829830e-02 +3.651238e+04 -9.297521e-02 1.654181e-01 1.004460e+00 1.294659e-01 9.126726e-02 -3.134787e-02 1.203217e-01 7.569612e-02 6.372412e-02 +3.729831e+04 -9.580160e-02 1.621858e-01 1.037127e+00 1.319958e-01 8.652931e-02 -4.153833e-02 1.234272e-01 6.230500e-02 7.799069e-02 +3.810116e+04 -9.864061e-02 1.588753e-01 1.070207e+00 1.344137e-01 8.129257e-02 -5.171901e-02 1.250934e-01 4.743559e-02 9.064787e-02 +3.892129e+04 -1.014858e-01 1.554884e-01 1.103655e+00 1.367056e-01 7.555439e-02 -6.179515e-02 1.251963e-01 3.127568e-02 1.012459e-01 +3.975908e+04 -1.043300e-01 1.520278e-01 1.137415e+00 1.388573e-01 6.931811e-02 -7.166419e-02 1.236393e-01 1.407457e-02 1.093820e-01 +4.061490e+04 -1.071649e-01 1.484971e-01 1.171426e+00 1.408545e-01 6.259849e-02 -8.120888e-02 1.203792e-01 -3.805542e-03 1.147635e-01 +4.148914e+04 -1.099820e-01 1.449000e-01 1.205620e+00 1.426826e-01 5.541152e-02 -9.031036e-02 1.153786e-01 -2.199110e-02 1.171060e-01 +4.238219e+04 -1.127729e-01 1.412403e-01 1.239933e+00 1.443273e-01 4.777343e-02 -9.884971e-02 1.086011e-01 -4.010481e-02 1.161341e-01 +4.329448e+04 -1.155285e-01 1.375224e-01 1.274294e+00 1.457749e-01 3.970944e-02 -1.067088e-01 1.000666e-01 -5.774322e-02 1.117265e-01 +4.422639e+04 -1.182387e-01 1.337517e-01 1.308622e+00 1.470127e-01 3.125698e-02 -1.137702e-01 8.987099e-02 -7.445932e-02 1.040063e-01 +4.517837e+04 -1.208936e-01 1.299338e-01 1.342837e+00 1.480280e-01 2.245436e-02 -1.199168e-01 7.811514e-02 -8.980591e-02 9.309170e-02 +4.615084e+04 -1.234830e-01 1.260743e-01 1.376858e+00 1.488084e-01 1.334032e-02 -1.250321e-01 6.490331e-02 -1.033363e-01 7.911935e-02 +4.714424e+04 -1.259965e-01 1.221795e-01 1.410600e+00 1.493435e-01 3.963583e-03 -1.290183e-01 5.041004e-02 -1.146698e-01 6.245719e-02 +4.815903e+04 -1.284232e-01 1.182563e-01 1.443972e+00 1.496249e-01 -5.617410e-03 -1.317957e-01 3.487823e-02 -1.234904e-01 4.367675e-02 +4.919566e+04 -1.307524e-01 1.143118e-01 1.476884e+00 1.496445e-01 -1.534380e-02 -1.332855e-01 1.855363e-02 -1.294828e-01 2.335900e-02 +5.025460e+04 -1.329731e-01 1.103532e-01 1.509245e+00 1.493942e-01 -2.515622e-02 -1.334118e-01 1.685592e-03 -1.323463e-01 2.106985e-03 +5.133633e+04 -1.350747e-01 1.063881e-01 1.540964e+00 1.488701e-01 -3.498863e-02 -1.321393e-01 -1.543159e-02 -1.319647e-01 -1.939250e-02 +5.244135e+04 -1.370468e-01 1.024246e-01 1.571949e+00 1.480705e-01 -4.477027e-02 -1.294614e-01 -3.247177e-02 -1.283515e-01 -4.037000e-02 +5.357016e+04 -1.388790e-01 9.847070e-02 1.602108e+00 1.469941e-01 -5.443030e-02 -1.253720e-01 -4.910805e-02 -1.215225e-01 -6.004836e-02 +5.472326e+04 -1.405608e-01 9.453449e-02 1.631351e+00 1.456400e-01 -6.389808e-02 -1.198713e-01 -6.501658e-02 -1.115210e-01 -7.768817e-02 +5.590119e+04 -1.420833e-01 9.062415e-02 1.659593e+00 1.440125e-01 -7.310473e-02 -1.130135e-01 -7.989799e-02 -9.861916e-02 -9.270902e-02 +5.710447e+04 -1.434381e-01 8.674789e-02 1.686755e+00 1.421183e-01 -8.198228e-02 -1.048800e-01 -9.346532e-02 -8.320384e-02 -1.046254e-01 +5.833365e+04 -1.446166e-01 8.291391e-02 1.712757e+00 1.399642e-01 -9.046276e-02 -9.555233e-02 -1.054317e-01 -6.566384e-02 -1.129441e-01 +5.958929e+04 -1.456110e-01 7.913032e-02 1.737522e+00 1.375581e-01 -9.848032e-02 -8.511994e-02 -1.155283e-01 -4.640998e-02 -1.172491e-01 +6.087195e+04 -1.464152e-01 7.540466e-02 1.760985e+00 1.349123e-01 -1.059812e-01 -7.371790e-02 -1.235892e-01 -2.598145e-02 -1.175115e-01 +6.218223e+04 -1.470241e-01 7.174425e-02 1.783087e+00 1.320414e-01 -1.129159e-01 -6.149741e-02 -1.294853e-01 -4.962058e-03 -1.138341e-01 +6.352071e+04 -1.474322e-01 6.815639e-02 1.803766e+00 1.289595e-01 -1.192349e-01 -4.860974e-02 -1.330871e-01 1.606223e-02 -1.063294e-01 +6.488800e+04 -1.476353e-01 6.464812e-02 1.822969e+00 1.256821e-01 -1.248940e-01 -3.521022e-02 -1.343008e-01 3.652383e-02 -9.518876e-02 +6.628472e+04 -1.476320e-01 6.122528e-02 1.840665e+00 1.222279e-01 -1.298693e-01 -2.147044e-02 -1.331710e-01 5.591921e-02 -8.094098e-02 +6.771151e+04 -1.474214e-01 5.789343e-02 1.856825e+00 1.186170e-01 -1.341420e-01 -7.565947e-03 -1.297763e-01 7.376147e-02 -6.420005e-02 +6.916900e+04 -1.470031e-01 5.465814e-02 1.871423e+00 1.148691e-01 -1.376932e-01 6.327724e-03 -1.241952e-01 8.956362e-02 -4.558101e-02 +7.065787e+04 -1.463774e-01 5.152438e-02 1.884441e+00 1.110044e-01 -1.405119e-01 2.004205e-02 -1.165443e-01 1.029143e-01 -2.571696e-02 +7.217879e+04 -1.455476e-01 4.849559e-02 1.895880e+00 1.070442e-01 -1.426079e-01 3.342757e-02 -1.070433e-01 1.136090e-01 -5.299499e-03 +7.373245e+04 -1.445177e-01 4.557493e-02 1.905746e+00 1.030101e-01 -1.439950e-01 4.633800e-02 -9.592903e-02 1.214767e-01 1.495581e-02 +7.531955e+04 -1.432913e-01 4.276555e-02 1.914046e+00 9.892334e-02 -1.446866e-01 5.862730e-02 -8.343855e-02 1.263496e-01 3.435086e-02 +7.694081e+04 -1.418737e-01 4.006981e-02 1.920795e+00 9.480489e-02 -1.447045e-01 7.017052e-02 -6.982403e-02 1.281653e-01 5.227615e-02 +7.859697e+04 -1.402725e-01 3.748853e-02 1.926030e+00 9.067429e-02 -1.440857e-01 8.088313e-02 -5.536651e-02 1.270667e-01 6.831010e-02 +8.028878e+04 -1.384957e-01 3.502236e-02 1.929788e+00 8.655102e-02 -1.428693e-01 9.068522e-02 -4.035046e-02 1.232226e-01 8.205153e-02 +8.201700e+04 -1.365511e-01 3.267191e-02 1.932109e+00 8.245447e-02 -1.410942e-01 9.949749e-02 -2.505968e-02 1.168001e-01 9.310117e-02 +8.378243e+04 -1.344477e-01 3.043693e-02 1.933040e+00 7.840212e-02 -1.388042e-01 1.072702e-01 -9.753732e-03 1.080417e-01 1.012314e-01 +8.558585e+04 -1.321962e-01 2.831594e-02 1.932642e+00 7.440874e-02 -1.360498e-01 1.139939e-01 5.341061e-03 9.729120e-02 1.064509e-01 +8.742810e+04 -1.298071e-01 2.630736e-02 1.930975e+00 7.048892e-02 -1.328820e-01 1.196622e-01 2.000076e-02 8.489990e-02 1.087872e-01 +8.931000e+04 -1.272910e-01 2.440961e-02 1.928103e+00 6.665712e-02 -1.293514e-01 1.242697e-01 3.400375e-02 7.121789e-02 1.082603e-01 +9.123241e+04 -1.246590e-01 2.262032e-02 1.924091e+00 6.292491e-02 -1.255085e-01 1.278377e-01 4.718377e-02 5.659260e-02 1.050445e-01 +9.319619e+04 -1.219228e-01 2.093637e-02 1.919014e+00 5.930096e-02 -1.214029e-01 1.304133e-01 5.942847e-02 4.136604e-02 9.943542e-02 +9.520225e+04 -1.190941e-01 1.935462e-02 1.912946e+00 5.579383e-02 -1.170843e-01 1.320451e-01 7.062813e-02 2.588169e-02 9.173460e-02 +9.725149e+04 -1.161844e-01 1.787190e-02 1.905960e+00 5.241186e-02 -1.126019e-01 1.327825e-01 8.067736e-02 1.047655e-02 8.225128e-02 +9.934484e+04 -1.132052e-01 1.648456e-02 1.898131e+00 4.916024e-02 -1.079991e-01 1.326889e-01 8.953047e-02 -4.583773e-03 7.131864e-02 +1.014832e+05 -1.101676e-01 1.518866e-02 1.889535e+00 4.604198e-02 -1.033156e-01 1.318378e-01 9.718428e-02 -1.908415e-02 5.928791e-02 +1.036677e+05 -1.070829e-01 1.398021e-02 1.880246e+00 4.306000e-02 -9.859060e-02 1.303028e-01 1.036365e-01 -3.280996e-02 4.651863e-02 +1.058991e+05 -1.039621e-01 1.285526e-02 1.870339e+00 4.021696e-02 -9.386254e-02 1.281576e-01 1.088897e-01 -4.555854e-02 3.335697e-02 +1.081786e+05 -1.008152e-01 1.180970e-02 1.859886e+00 3.751286e-02 -8.916139e-02 1.254755e-01 1.129872e-01 -5.721672e-02 2.007361e-02 +1.105072e+05 -9.765194e-02 1.083939e-02 1.848953e+00 3.494638e-02 -8.451283e-02 1.223296e-01 1.159938e-01 -6.771936e-02 6.928819e-03 +1.128859e+05 -9.448184e-02 9.940200e-03 1.837610e+00 3.251619e-02 -7.994252e-02 1.187930e-01 1.179741e-01 -7.700124e-02 -5.840944e-03 +1.153158e+05 -9.131425e-02 9.108013e-03 1.825923e+00 3.022067e-02 -7.547466e-02 1.149372e-01 1.189952e-01 -8.500842e-02 -1.799878e-02 +1.177979e+05 -8.815713e-02 8.338920e-03 1.813951e+00 2.805651e-02 -7.112517e-02 1.108234e-01 1.191393e-01 -9.175464e-02 -2.940559e-02 +1.203336e+05 -8.501791e-02 7.629079e-03 1.801752e+00 2.601982e-02 -6.690699e-02 1.065092e-01 1.184934e-01 -9.728057e-02 -3.996697e-02 +1.229237e+05 -8.190404e-02 6.974652e-03 1.789381e+00 2.410668e-02 -6.283305e-02 1.020522e-01 1.171450e-01 -1.016259e-01 -4.957774e-02 +1.255697e+05 -7.882258e-02 6.371890e-03 1.776892e+00 2.231300e-02 -5.891470e-02 9.750657e-02 1.151800e-01 -1.048367e-01 -5.815327e-02 +1.282726e+05 -7.577911e-02 5.817412e-03 1.764332e+00 2.063393e-02 -5.515693e-02 9.291341e-02 1.126793e-01 -1.069921e-01 -6.568621e-02 +1.310337e+05 -7.277882e-02 5.307928e-03 1.751742e+00 1.906445e-02 -5.156319e-02 8.831035e-02 1.097226e-01 -1.081786e-01 -7.218716e-02 +1.338542e+05 -6.982692e-02 4.840146e-03 1.739167e+00 1.759951e-02 -4.813688e-02 8.373506e-02 1.063895e-01 -1.084811e-01 -7.766459e-02 +1.367354e+05 -6.692812e-02 4.410929e-03 1.726645e+00 1.623406e-02 -4.488005e-02 7.922103e-02 1.027547e-01 -1.079870e-01 -8.213856e-02 +1.396787e+05 -6.408587e-02 4.017551e-03 1.714208e+00 1.496301e-02 -4.179091e-02 7.479029e-02 9.887925e-02 -1.067857e-01 -8.566520e-02 +1.426853e+05 -6.130336e-02 3.657360e-03 1.701887e+00 1.378123e-02 -3.886701e-02 7.046290e-02 9.482184e-02 -1.049662e-01 -8.831269e-02 +1.457566e+05 -5.858379e-02 3.327703e-03 1.689711e+00 1.268361e-02 -3.610591e-02 6.625890e-02 9.064118e-02 -1.026182e-01 -9.013729e-02 +1.488940e+05 -5.592987e-02 3.026121e-03 1.677708e+00 1.166520e-02 -3.350424e-02 6.219431e-02 8.638872e-02 -9.982487e-02 -9.121568e-02 +1.520990e+05 -5.334331e-02 2.750521e-03 1.665897e+00 1.072134e-02 -3.105684e-02 5.827738e-02 8.210258e-02 -9.665930e-02 -9.161495e-02 +1.553729e+05 -5.082572e-02 2.498855e-03 1.654299e+00 9.847421e-03 -2.875836e-02 5.451555e-02 7.781921e-02 -9.319120e-02 -9.140808e-02 +1.587173e+05 -4.837870e-02 2.269078e-03 1.642932e+00 9.038827e-03 -2.660344e-02 5.091610e-02 7.357481e-02 -8.949275e-02 -9.068182e-02 +1.621337e+05 -4.600336e-02 2.059353e-03 1.631813e+00 8.291247e-03 -2.458633e-02 4.748325e-02 6.939865e-02 -8.562430e-02 -8.948971e-02 +1.656237e+05 -4.370013e-02 1.868125e-03 1.620952e+00 7.600778e-03 -2.270079e-02 4.421689e-02 6.530987e-02 -8.163514e-02 -8.790843e-02 +1.691888e+05 -4.146942e-02 1.693863e-03 1.610360e+00 6.963544e-03 -2.094053e-02 4.111659e-02 6.132714e-02 -7.757271e-02 -8.599515e-02 +1.728306e+05 -3.931159e-02 1.535044e-03 1.600047e+00 6.375690e-03 -1.929928e-02 3.818189e-02 5.746872e-02 -7.348254e-02 -8.381516e-02 +1.765508e+05 -3.722663e-02 1.390345e-03 1.590021e+00 5.833735e-03 -1.777088e-02 3.541035e-02 5.374707e-02 -6.940324e-02 -8.142263e-02 +1.803510e+05 -3.521417e-02 1.258640e-03 1.580287e+00 5.334574e-03 -1.634928e-02 3.279769e-02 5.016905e-02 -6.536134e-02 -7.885844e-02 +1.842331e+05 -3.327379e-02 1.138815e-03 1.570853e+00 4.875120e-03 -1.502843e-02 3.033953e-02 4.674120e-02 -6.138348e-02 -7.617114e-02 +1.881988e+05 -3.140507e-02 1.029766e-03 1.561722e+00 4.452313e-03 -1.380235e-02 2.803142e-02 4.346959e-02 -5.749628e-02 -7.340688e-02 +1.922497e+05 -2.960722e-02 9.305644e-04 1.552897e+00 4.063480e-03 -1.266541e-02 2.586805e-02 4.035674e-02 -5.371726e-02 -7.059090e-02 +1.963879e+05 -2.787926e-02 8.404076e-04 1.544377e+00 3.706225e-03 -1.161234e-02 2.384347e-02 3.740177e-02 -5.005919e-02 -6.776245e-02 +2.006152e+05 -2.622015e-02 7.584949e-04 1.536160e+00 3.378159e-03 -1.063783e-02 2.195175e-02 3.460431e-02 -4.653349e-02 -6.493433e-02 +2.049335e+05 -2.462886e-02 6.840430e-04 1.528245e+00 3.076934e-03 -9.736657e-03 2.018695e-02 3.196330e-02 -4.315129e-02 -6.214901e-02 +2.093447e+05 -2.310414e-02 6.164119e-04 1.520629e+00 2.800562e-03 -8.904176e-03 1.854302e-02 2.947580e-02 -3.991907e-02 -5.940992e-02 +2.138509e+05 -2.164464e-02 5.550355e-04 1.513309e+00 2.547243e-03 -8.136031e-03 1.701398e-02 2.713758e-02 -3.683813e-02 -5.673775e-02 +2.184540e+05 -2.024899e-02 4.993486e-04 1.506283e+00 2.315175e-03 -7.427873e-03 1.559376e-02 2.494454e-02 -3.391285e-02 -5.414564e-02 +2.231563e+05 -1.891583e-02 4.488049e-04 1.499548e+00 2.102611e-03 -6.775450e-03 1.427642e-02 2.289250e-02 -3.114477e-02 -5.164423e-02 +2.279597e+05 -1.764359e-02 4.029688e-04 1.493100e+00 1.908107e-03 -6.175103e-03 1.305638e-02 2.097615e-02 -2.853231e-02 -4.924411e-02 +2.328666e+05 -1.643067e-02 3.614448e-04 1.486932e+00 1.730328e-03 -5.623387e-03 1.192819e-02 1.919011e-02 -2.607358e-02 -4.694556e-02 +2.378791e+05 -1.527545e-02 3.238378e-04 1.481041e+00 1.567940e-03 -5.116852e-03 1.088643e-02 1.752894e-02 -2.376664e-02 -4.476372e-02 +2.429995e+05 -1.417627e-02 2.897722e-04 1.475421e+00 1.419668e-03 -4.652184e-03 9.925809e-03 1.598706e-02 -2.160793e-02 -4.269447e-02 +2.482300e+05 -1.313131e-02 2.589526e-04 1.470063e+00 1.284470e-03 -4.226572e-03 9.041559e-03 1.455915e-02 -1.959374e-02 -4.073548e-02 +2.535732e+05 -1.213870e-02 2.311034e-04 1.464959e+00 1.161364e-03 -3.837338e-03 8.229053e-03 1.323936e-02 -1.771928e-02 -3.889491e-02 +2.590314e+05 -1.119657e-02 2.059493e-04 1.460100e+00 1.049366e-03 -3.481804e-03 7.483683e-03 1.202223e-02 -1.597965e-02 -3.716803e-02 +2.646071e+05 -1.030301e-02 1.832351e-04 1.455477e+00 9.475593e-04 -3.157445e-03 6.801043e-03 1.090229e-02 -1.436991e-02 -3.555709e-02 +2.703028e+05 -9.456026e-03 1.627622e-04 1.451082e+00 8.552021e-04 -2.862161e-03 6.177299e-03 9.874405e-03 -1.288441e-02 -3.405453e-02 +2.761211e+05 -8.653606e-03 1.443415e-04 1.446906e+00 7.715836e-04 -2.593930e-03 5.608725e-03 8.933493e-03 -1.151842e-02 -3.266364e-02 +2.820646e+05 -7.893729e-03 1.277844e-04 1.442940e+00 6.959940e-04 -2.350724e-03 5.091612e-03 8.074715e-03 -1.026583e-02 -3.137554e-02 +2.881361e+05 -7.174285e-03 1.129194e-04 1.439174e+00 6.277790e-04 -2.130663e-03 4.622421e-03 7.292908e-03 -9.121478e-03 -3.019333e-02 +2.943383e+05 -6.492982e-03 9.960916e-05 1.435599e+00 5.663928e-04 -1.932124e-03 4.198013e-03 6.583612e-03 -8.079952e-03 -2.910806e-02 +3.006739e+05 -5.847513e-03 8.772000e-05 1.432204e+00 5.113014e-04 -1.753521e-03 3.815312e-03 5.942213e-03 -7.135067e-03 -2.811819e-02 +3.071460e+05 -5.235564e-03 7.711894e-05 1.428980e+00 4.619734e-04 -1.593270e-03 3.471229e-03 5.364220e-03 -6.280890e-03 -2.721506e-02 +3.137573e+05 -4.654758e-03 6.768814e-05 1.425913e+00 4.179283e-04 -1.449923e-03 3.162876e-03 4.845194e-03 -5.513042e-03 -2.640250e-02 +3.205110e+05 -4.102624e-03 5.933110e-05 1.422992e+00 3.787575e-04 -1.322220e-03 2.887729e-03 4.381206e-03 -4.824533e-03 -2.566676e-02 +3.274100e+05 -3.576686e-03 5.195290e-05 1.420200e+00 3.440582e-04 -1.208913e-03 2.643221e-03 3.968270e-03 -4.211134e-03 -2.500706e-02 +3.344576e+05 -3.074466e-03 4.545922e-05 1.417525e+00 3.134293e-04 -1.108764e-03 2.426839e-03 3.602341e-03 -3.667008e-03 -2.441788e-02 +3.416568e+05 -2.593448e-03 3.976697e-05 1.414954e+00 2.865100e-04 -1.020642e-03 2.236236e-03 3.279660e-03 -3.186624e-03 -2.389409e-02 +3.490110e+05 -2.131074e-03 3.480443e-05 1.412473e+00 2.629794e-04 -9.435251e-04 2.069281e-03 2.996805e-03 -2.765147e-03 -2.343129e-02 +3.565235e+05 -1.684786e-03 3.050040e-05 1.410073e+00 2.425194e-04 -8.763997e-04 1.923817e-03 2.750204e-03 -2.397613e-03 -2.302084e-02 +3.641977e+05 -1.252026e-03 2.678446e-05 1.407740e+00 2.248137e-04 -8.182584e-04 1.797749e-03 2.536446e-03 -2.078912e-03 -2.266108e-02 +3.720371e+05 -8.302728e-04 2.359527e-05 1.405461e+00 2.095825e-04 -7.682009e-04 1.689144e-03 2.352259e-03 -1.804633e-03 -2.234994e-02 +3.800452e+05 -4.170334e-04 2.087812e-05 1.403224e+00 1.965723e-04 -7.254054e-04 1.596241e-03 2.194697e-03 -1.570411e-03 -2.207978e-02 +3.882258e+05 -9.819582e-06 1.857849e-05 1.401015e+00 1.855301e-04 -6.890488e-04 1.517285e-03 2.060927e-03 -1.371144e-03 -2.183928e-02 +3.965824e+05 3.938367e-04 1.664301e-05 1.398821e+00 1.762077e-04 -6.583289e-04 1.450550e-03 1.947869e-03 -1.203445e-03 -2.163640e-02 +4.051188e+05 7.962538e-04 1.502712e-05 1.396628e+00 1.683963e-04 -6.325610e-04 1.394535e-03 1.853079e-03 -1.063543e-03 -2.146232e-02 +4.138391e+05 1.199672e-03 1.369084e-05 1.394427e+00 1.619067e-04 -6.111276e-04 1.347937e-03 1.774339e-03 -9.475878e-04 -2.131269e-02 +4.227470e+05 1.606328e-03 1.259431e-05 1.392205e+00 1.565510e-04 -5.934106e-04 1.309406e-03 1.709459e-03 -8.523951e-04 -2.117939e-02 +4.318467e+05 2.018418e-03 1.169921e-05 1.389950e+00 1.521476e-04 -5.788206e-04 1.277666e-03 1.656026e-03 -7.745182e-04 -2.106953e-02 +4.411422e+05 2.437923e-03 1.097611e-05 1.387652e+00 1.485570e-04 -5.668961e-04 1.251719e-03 1.612594e-03 -7.118993e-04 -2.097204e-02 +4.506379e+05 2.866745e-03 1.039880e-05 1.385302e+00 1.456544e-04 -5.572265e-04 1.230667e-03 1.577525e-03 -6.619454e-04 -2.088934e-02 +4.603379e+05 3.306784e-03 9.941108e-06 1.382889e+00 1.433150e-04 -5.494048e-04 1.213635e-03 1.549324e-03 -6.224147e-04 -2.081458e-02 +4.702467e+05 3.759896e-03 9.578967e-06 1.380403e+00 1.414240e-04 -5.430498e-04 1.199786e-03 1.526622e-03 -5.909400e-04 -2.074377e-02 +4.803688e+05 4.227748e-03 9.295790e-06 1.377835e+00 1.399027e-04 -5.379059e-04 1.188559e-03 1.508427e-03 -5.670206e-04 -2.068176e-02 +4.907088e+05 4.711960e-03 9.077214e-06 1.375177e+00 1.386816e-04 -5.337438e-04 1.179472e-03 1.493901e-03 -5.486303e-04 -2.062335e-02 +5.012714e+05 5.214151e-03 8.908814e-06 1.372420e+00 1.376921e-04 -5.303352e-04 1.172028e-03 1.482264e-03 -5.343118e-04 -2.056838e-02 +5.120613e+05 5.735908e-03 8.777908e-06 1.369556e+00 1.368730e-04 -5.274812e-04 1.165789e-03 1.472672e-03 -5.230362e-04 -2.051556e-02 +5.230835e+05 6.278736e-03 8.676406e-06 1.366575e+00 1.361854e-04 -5.250543e-04 1.160472e-03 1.464630e-03 -5.145912e-04 -2.046707e-02 +5.343429e+05 6.844126e-03 8.597131e-06 1.363470e+00 1.355951e-04 -5.229377e-04 1.155827e-03 1.457918e-03 -5.085001e-04 -2.041259e-02 +5.458447e+05 7.433574e-03 8.534100e-06 1.360232e+00 1.350729e-04 -5.210366e-04 1.151651e-03 1.452100e-03 -5.036586e-04 -2.035770e-02 +5.575941e+05 8.048587e-03 8.483209e-06 1.356855e+00 1.345984e-04 -5.192860e-04 1.147798e-03 1.446734e-03 -4.996844e-04 -2.030694e-02 +5.695963e+05 8.690673e-03 8.440516e-06 1.353331e+00 1.341530e-04 -5.176216e-04 1.144126e-03 1.441825e-03 -4.967487e-04 -2.025131e-02 +5.818570e+05 9.361359e-03 8.403224e-06 1.349652e+00 1.337224e-04 -5.159994e-04 1.140556e-03 1.437086e-03 -4.940270e-04 -2.019487e-02 +5.943815e+05 1.006219e-02 8.369629e-06 1.345804e+00 1.332978e-04 -5.143857e-04 1.136992e-03 1.432485e-03 -4.919550e-04 -2.013651e-02 +6.071756e+05 1.079472e-02 8.338036e-06 1.341777e+00 1.328703e-04 -5.127520e-04 1.133381e-03 1.427847e-03 -4.901059e-04 -2.007529e-02 +6.202452e+05 1.156064e-02 8.307383e-06 1.337564e+00 1.324347e-04 -5.110815e-04 1.129688e-03 1.423135e-03 -4.883733e-04 -2.001472e-02 +6.335960e+05 1.236167e-02 8.277023e-06 1.333161e+00 1.319871e-04 -5.093613e-04 1.125894e-03 1.418307e-03 -4.863033e-04 -1.994637e-02 +6.472342e+05 1.319958e-02 8.246321e-06 1.328560e+00 1.315243e-04 -5.075781e-04 1.121958e-03 1.413357e-03 -4.843489e-04 -1.987800e-02 +6.611660e+05 1.407615e-02 8.214912e-06 1.323750e+00 1.310436e-04 -5.057249e-04 1.117863e-03 1.408202e-03 -4.823875e-04 -1.980298e-02 +6.753977e+05 1.499321e-02 8.182434e-06 1.318717e+00 1.305425e-04 -5.037944e-04 1.113593e-03 1.402775e-03 -4.807309e-04 -1.972955e-02 +6.899357e+05 1.595271e-02 8.148742e-06 1.313449e+00 1.300193e-04 -5.017760e-04 1.109133e-03 1.397138e-03 -4.785622e-04 -1.965015e-02 +7.047866e+05 1.695674e-02 8.113683e-06 1.307938e+00 1.294728e-04 -4.996673e-04 1.104474e-03 1.391285e-03 -4.768355e-04 -1.956987e-02 +7.199572e+05 1.800741e-02 8.077054e-06 1.302177e+00 1.289018e-04 -4.974631e-04 1.099607e-03 1.385196e-03 -4.746174e-04 -1.948109e-02 +7.354544e+05 1.910679e-02 8.038822e-06 1.296152e+00 1.283049e-04 -4.951603e-04 1.094512e-03 1.378743e-03 -4.725261e-04 -1.939333e-02 +7.512851e+05 2.025701e-02 7.998841e-06 1.289845e+00 1.276803e-04 -4.927501e-04 1.089181e-03 1.371996e-03 -4.701905e-04 -1.929882e-02 +7.674566e+05 2.146028e-02 7.956993e-06 1.283238e+00 1.270260e-04 -4.902252e-04 1.083603e-03 1.364996e-03 -4.679577e-04 -1.920053e-02 +7.839762e+05 2.271900e-02 7.913206e-06 1.276321e+00 1.263410e-04 -4.875813e-04 1.077762e-03 1.357640e-03 -4.651592e-04 -1.909525e-02 +8.008514e+05 2.403566e-02 7.867397e-06 1.269085e+00 1.256243e-04 -4.848163e-04 1.071658e-03 1.349928e-03 -4.622707e-04 -1.898960e-02 +8.180898e+05 2.541275e-02 7.819551e-06 1.261520e+00 1.248755e-04 -4.819267e-04 1.065261e-03 1.341864e-03 -4.599124e-04 -1.887504e-02 +8.356993e+05 2.685279e-02 7.769561e-06 1.253613e+00 1.240924e-04 -4.789040e-04 1.058581e-03 1.333446e-03 -4.569370e-04 -1.875683e-02 +8.536878e+05 2.835834e-02 7.717265e-06 1.245345e+00 1.232738e-04 -4.757455e-04 1.051603e-03 1.324675e-03 -4.540316e-04 -1.863284e-02 +8.720635e+05 2.993203e-02 7.662637e-06 1.236702e+00 1.224179e-04 -4.724426e-04 1.044307e-03 1.315466e-03 -4.505553e-04 -1.850449e-02 +8.908348e+05 3.157654e-02 7.605575e-06 1.227669e+00 1.215234e-04 -4.689901e-04 1.036675e-03 1.305863e-03 -4.472739e-04 -1.836894e-02 +9.100101e+05 3.329461e-02 7.545957e-06 1.218230e+00 1.205888e-04 -4.653833e-04 1.028706e-03 1.295846e-03 -4.439642e-04 -1.822636e-02 +9.295982e+05 3.508898e-02 7.483739e-06 1.208372e+00 1.196130e-04 -4.616160e-04 1.020378e-03 1.285411e-03 -4.406084e-04 -1.807805e-02 +9.496079e+05 3.696241e-02 7.418772e-06 1.198079e+00 1.185936e-04 -4.576832e-04 1.011681e-03 1.274376e-03 -4.366981e-04 -1.792520e-02 +9.700483e+05 3.891768e-02 7.350996e-06 1.187334e+00 1.175297e-04 -4.535768e-04 1.002608e-03 1.262991e-03 -4.329620e-04 -1.776410e-02 +9.909287e+05 4.095757e-02 7.280292e-06 1.176123e+00 1.164196e-04 -4.492939e-04 9.931469e-04 1.251029e-03 -4.286733e-04 -1.759916e-02 +1.012259e+06 4.308488e-02 7.206575e-06 1.164429e+00 1.152617e-04 -4.448249e-04 9.832669e-04 1.238593e-03 -4.241888e-04 -1.742206e-02 +1.034048e+06 4.530234e-02 7.129763e-06 1.152238e+00 1.140546e-04 -4.401662e-04 9.729695e-04 1.225631e-03 -4.197732e-04 -1.723949e-02 +1.056306e+06 4.761258e-02 7.049773e-06 1.139533e+00 1.127965e-04 -4.353117e-04 9.622520e-04 1.212138e-03 -4.150984e-04 -1.704980e-02 +1.079043e+06 5.001816e-02 6.966509e-06 1.126301e+00 1.114866e-04 -4.302551e-04 9.510679e-04 1.198083e-03 -4.104876e-04 -1.685143e-02 +1.102269e+06 5.252169e-02 6.879836e-06 1.112527e+00 1.101226e-04 -4.249922e-04 9.394371e-04 1.183386e-03 -4.053031e-04 -1.664617e-02 +1.125996e+06 5.512564e-02 6.789744e-06 1.098196e+00 1.087036e-04 -4.195169e-04 9.273349e-04 1.168119e-03 -4.001601e-04 -1.643244e-02 +1.150233e+06 5.783234e-02 6.696100e-06 1.083296e+00 1.072284e-04 -4.138228e-04 9.147527e-04 1.152331e-03 -3.947751e-04 -1.620794e-02 +1.174992e+06 6.064384e-02 6.598889e-06 1.067815e+00 1.056957e-04 -4.079075e-04 9.016737e-04 1.135842e-03 -3.891793e-04 -1.597689e-02 +1.200284e+06 6.356189e-02 6.498025e-06 1.051741e+00 1.041042e-04 -4.017650e-04 8.881059e-04 1.118776e-03 -3.829993e-04 -1.573356e-02 +1.226120e+06 6.658835e-02 6.393387e-06 1.035063e+00 1.024529e-04 -3.953929e-04 8.740135e-04 1.101021e-03 -3.774011e-04 -1.548618e-02 +1.252512e+06 6.972471e-02 6.285038e-06 1.017774e+00 1.007412e-04 -3.887869e-04 8.594099e-04 1.082598e-03 -3.709608e-04 -1.522738e-02 +1.279473e+06 7.297206e-02 6.172841e-06 9.998660e-01 9.896817e-05 -3.819449e-04 8.442891e-04 1.063558e-03 -3.645326e-04 -1.495983e-02 +1.307013e+06 7.633131e-02 6.056846e-06 9.813332e-01 9.713320e-05 -3.748636e-04 8.286465e-04 1.043841e-03 -3.574112e-04 -1.468360e-02 +1.335147e+06 7.980274e-02 5.937023e-06 9.621724e-01 9.523636e-05 -3.675417e-04 8.124595e-04 1.023528e-03 -3.506315e-04 -1.439239e-02 +1.363886e+06 8.338637e-02 5.813330e-06 9.423825e-01 9.327688e-05 -3.599813e-04 7.957520e-04 1.002406e-03 -3.433139e-04 -1.410003e-02 +1.393244e+06 8.708199e-02 5.685807e-06 9.219648e-01 9.125550e-05 -3.521804e-04 7.785101e-04 9.807188e-04 -3.359747e-04 -1.379343e-02 +1.423234e+06 9.088845e-02 5.554488e-06 9.009232e-01 8.917235e-05 -3.441403e-04 7.607414e-04 9.583524e-04 -3.281527e-04 -1.347887e-02 +1.453869e+06 9.480431e-02 5.419465e-06 8.792647e-01 8.702810e-05 -3.358663e-04 7.424504e-04 9.352638e-04 -3.203567e-04 -1.315784e-02 +1.485164e+06 9.882761e-02 5.280746e-06 8.569995e-01 8.482385e-05 -3.273591e-04 7.236471e-04 9.115966e-04 -3.122023e-04 -1.282195e-02 +1.517132e+06 1.029553e-01 5.138495e-06 8.341412e-01 8.256095e-05 -3.186258e-04 7.043395e-04 8.872974e-04 -3.041861e-04 -1.247913e-02 +1.549788e+06 1.071842e-01 4.992742e-06 8.107074e-01 8.024106e-05 -3.096732e-04 6.845511e-04 8.623309e-04 -2.954198e-04 -1.213124e-02 +1.583148e+06 1.115101e-01 4.843715e-06 7.867196e-01 7.786637e-05 -3.005071e-04 6.642922e-04 8.369115e-04 -2.869218e-04 -1.176790e-02 +1.617225e+06 1.159279e-01 4.691539e-06 7.622035e-01 7.543943e-05 -2.911424e-04 6.435927e-04 8.107463e-04 -2.776591e-04 -1.140256e-02 +1.652036e+06 1.204322e-01 4.536439e-06 7.371896e-01 7.296320e-05 -2.815863e-04 6.224711e-04 7.841498e-04 -2.688346e-04 -1.103025e-02 +1.687596e+06 1.250162e-01 4.378612e-06 7.117123e-01 7.044106e-05 -2.718523e-04 6.009554e-04 7.570506e-04 -2.594089e-04 -1.064876e-02 +1.723922e+06 1.296719e-01 4.218279e-06 6.858111e-01 6.787701e-05 -2.619576e-04 5.790854e-04 7.295143e-04 -2.499044e-04 -1.026065e-02 +1.761030e+06 1.343914e-01 4.055828e-06 6.595304e-01 6.527546e-05 -2.519169e-04 5.568964e-04 7.015508e-04 -2.401258e-04 -9.867753e-03 +1.798936e+06 1.391656e-01 3.891465e-06 6.329208e-01 6.264145e-05 -2.417523e-04 5.344250e-04 6.732263e-04 -2.306459e-04 -9.472083e-03 +1.837658e+06 1.439850e-01 3.725594e-06 6.060380e-01 5.998047e-05 -2.314828e-04 5.117227e-04 6.446340e-04 -2.207065e-04 -9.065918e-03 +1.877214e+06 1.488389e-01 3.558592e-06 5.789419e-01 5.729836e-05 -2.211321e-04 4.888438e-04 6.158049e-04 -2.108730e-04 -8.662661e-03 +1.917621e+06 1.537142e-01 3.390831e-06 5.516954e-01 5.460138e-05 -2.107232e-04 4.658347e-04 5.868426e-04 -2.008969e-04 -8.253158e-03 +1.958898e+06 1.585975e-01 3.222756e-06 5.243661e-01 5.189623e-05 -2.002827e-04 4.427557e-04 5.577689e-04 -1.908960e-04 -7.845457e-03 +2.001064e+06 1.634753e-01 3.054758e-06 4.970271e-01 4.919018e-05 -1.898397e-04 4.196697e-04 5.287009e-04 -1.811810e-04 -7.436639e-03 +2.044137e+06 1.683339e-01 2.887385e-06 4.697572e-01 4.649092e-05 -1.794227e-04 3.966471e-04 4.997113e-04 -1.711899e-04 -7.028977e-03 +2.088137e+06 1.731589e-01 2.721122e-06 4.426385e-01 4.380679e-05 -1.690635e-04 3.737422e-04 4.708507e-04 -1.613899e-04 -6.621391e-03 +2.133085e+06 1.779353e-01 2.556486e-06 4.157553e-01 4.114584e-05 -1.587943e-04 3.510479e-04 4.422437e-04 -1.513179e-04 -6.219925e-03 +2.179000e+06 1.826471e-01 2.393985e-06 3.891936e-01 3.851694e-05 -1.486483e-04 3.286193e-04 4.140038e-04 -1.417512e-04 -5.821931e-03 +2.225903e+06 1.872785e-01 2.234126e-06 3.630410e-01 3.592839e-05 -1.386585e-04 3.065390e-04 3.861854e-04 -1.321111e-04 -5.431839e-03 +2.273816e+06 1.918141e-01 2.077453e-06 3.373862e-01 3.338933e-05 -1.288593e-04 2.848703e-04 3.589057e-04 -1.229657e-04 -5.047848e-03 +2.322760e+06 1.962386e-01 1.924531e-06 3.123172e-01 3.090820e-05 -1.192844e-04 2.637023e-04 3.322090e-04 -1.138296e-04 -4.672438e-03 +2.372757e+06 2.005368e-01 1.775864e-06 2.879206e-01 2.849370e-05 -1.099652e-04 2.431035e-04 3.062868e-04 -1.047860e-04 -4.306215e-03 +2.423831e+06 2.046939e-01 1.631900e-06 2.642799e-01 2.615393e-05 -1.009364e-04 2.231401e-04 2.810803e-04 -9.622380e-05 -3.955287e-03 +2.476005e+06 2.086951e-01 1.493140e-06 2.414745e-01 2.389688e-05 -9.222610e-05 2.038849e-04 2.568445e-04 -8.795836e-05 -3.612427e-03 +2.529301e+06 2.125270e-01 1.360065e-06 2.195792e-01 2.172996e-05 -8.386267e-05 1.854041e-04 2.335885e-04 -7.984977e-05 -3.283978e-03 +2.583744e+06 2.161789e-01 1.233032e-06 1.986629e-01 1.965991e-05 -7.587410e-05 1.677418e-04 2.113120e-04 -7.223801e-05 -2.972929e-03 +2.639360e+06 2.196404e-01 1.112404e-06 1.787866e-01 1.769290e-05 -6.828266e-05 1.509535e-04 1.901752e-04 -6.529511e-05 -2.675458e-03 +2.696172e+06 2.229030e-01 9.984890e-07 1.600030e-01 1.583401e-05 -6.110878e-05 1.350919e-04 1.701734e-04 -5.830574e-05 -2.393079e-03 +2.754208e+06 2.259604e-01 8.915436e-07 1.423550e-01 1.408747e-05 -5.436753e-05 1.201882e-04 1.514225e-04 -5.201339e-05 -2.128609e-03 +2.813492e+06 2.288066e-01 7.917309e-07 1.258746e-01 1.245650e-05 -4.807318e-05 1.062806e-04 1.339082e-04 -4.563575e-05 -1.881513e-03 +2.874053e+06 2.314394e-01 6.991581e-07 1.105833e-01 1.094323e-05 -4.223366e-05 9.336762e-05 1.176128e-04 -4.019721e-05 -1.654595e-03 +2.935917e+06 2.338583e-01 6.139075e-07 9.649064e-02 9.548524e-06 -3.685116e-05 8.147005e-05 1.026238e-04 -3.510644e-05 -1.443732e-03 +2.999113e+06 2.360637e-01 5.359174e-07 8.359425e-02 8.272465e-06 -3.192549e-05 7.057508e-05 8.893571e-05 -3.062535e-05 -1.249525e-03 +3.063670e+06 2.380600e-01 4.651108e-07 7.188020e-02 7.113170e-06 -2.745131e-05 6.068798e-05 7.645849e-05 -2.590942e-05 -1.074152e-03 +3.129615e+06 2.398527e-01 4.013265e-07 6.132281e-02 6.068319e-06 -2.341948e-05 5.177883e-05 6.523977e-05 -2.215729e-05 -9.164115e-04 +3.196981e+06 2.414489e-01 3.443262e-07 5.188543e-02 5.134418e-06 -1.981543e-05 4.380749e-05 5.517929e-05 -1.884760e-05 -7.777421e-04 +3.265796e+06 2.428580e-01 2.938308e-07 4.352161e-02 4.306757e-06 -1.662111e-05 3.674778e-05 4.629812e-05 -1.581760e-05 -6.513895e-04 +3.336093e+06 2.440900e-01 2.494985e-07 3.617564e-02 3.579839e-06 -1.381568e-05 3.054459e-05 3.849825e-05 -1.330674e-05 -5.405583e-04 +3.407902e+06 2.451562e-01 2.108862e-07 2.978436e-02 2.947387e-06 -1.137534e-05 2.514106e-05 3.166380e-05 -1.103514e-05 -4.449821e-04 +3.481258e+06 2.460702e-01 1.776842e-07 2.427863e-02 2.402639e-06 -9.272455e-06 2.049234e-05 2.583144e-05 -9.119864e-06 -3.626736e-04 +3.556192e+06 2.468453e-01 1.493632e-07 1.958462e-02 1.938074e-06 -7.479401e-06 1.653085e-05 2.083796e-05 -7.281915e-06 -2.916339e-04 +3.632740e+06 2.474955e-01 1.254937e-07 1.562602e-02 1.546263e-06 -5.967334e-06 1.319238e-05 1.661637e-05 -5.645180e-06 -2.338939e-04 +3.710935e+06 2.480345e-01 1.055864e-07 1.232543e-02 1.219746e-06 -4.706936e-06 1.040101e-05 1.312199e-05 -4.692507e-06 -1.828319e-04 +3.790813e+06 2.484760e-01 8.918060e-08 9.605994e-03 9.505549e-07 -3.668254e-06 8.107193e-06 1.021666e-05 -3.678254e-06 -1.443892e-04 +3.872411e+06 2.488329e-01 7.583707e-08 7.393198e-03 7.315868e-07 -2.823283e-06 6.239029e-06 7.864398e-06 -2.755937e-06 -1.095490e-04 +3.955765e+06 2.491175e-01 6.511092e-08 5.615946e-03 5.557356e-07 -2.144921e-06 4.739639e-06 5.944368e-06 -1.977356e-06 -8.463345e-05 +4.040913e+06 2.493417e-01 5.663208e-08 4.207786e-03 4.163006e-07 -1.606340e-06 3.552091e-06 4.489593e-06 -1.581555e-06 -6.245112e-05 +4.127894e+06 2.495153e-01 4.998671e-08 3.107920e-03 3.075350e-07 -1.186241e-06 2.621079e-06 3.327232e-06 -1.208023e-06 -4.433842e-05 +4.216748e+06 2.496478e-01 4.485910e-08 2.261501e-03 2.238169e-07 -8.638234e-07 1.904392e-06 2.404660e-06 -9.883668e-07 -3.330636e-05 +4.307514e+06 2.497476e-01 4.101531e-08 1.620124e-03 1.602907e-07 -6.183718e-07 1.368284e-06 1.721398e-06 -5.178037e-07 -2.459720e-05 +4.400233e+06 2.498213e-01 3.812877e-08 1.141913e-03 1.129313e-07 -4.365264e-07 9.657677e-07 1.179137e-06 -3.169722e-07 -1.839071e-05 +4.494949e+06 2.498750e-01 3.600255e-08 7.912790e-04 7.840974e-08 -3.021713e-07 6.608873e-07 8.630248e-07 -5.557767e-07 -8.836034e-06 +4.591703e+06 2.499135e-01 3.449350e-08 5.387146e-04 5.331291e-08 -2.057844e-07 4.546294e-07 5.605950e-07 -1.722936e-07 -9.350552e-06 +4.690540e+06 2.499401e-01 3.340514e-08 3.601334e-04 3.564028e-08 -1.380001e-07 2.995992e-07 3.513971e-07 -2.362001e-07 -6.102020e-06 +4.791505e+06 2.499580e-01 3.266016e-08 2.362213e-04 2.325640e-08 -9.032796e-08 2.038660e-07 2.529998e-07 2.539871e-08 -3.204875e-06 +4.894642e+06 2.499703e-01 3.215743e-08 1.518886e-04 1.495107e-08 -5.724635e-08 1.305453e-07 1.878079e-07 6.444126e-08 -1.773644e-06 +5.000000e+06 2.499802e-01 3.182909e-08 9.563085e-05 9.453133e-09 -3.593468e-08 7.934106e-08 1.166560e-07 -1.477698e-07 -2.626545e-06 diff --git a/external/distortions/FIRAS_distortions_shapes.dat b/external/distortions/FIRAS_distortions_shapes.dat new file mode 100644 index 00000000..541e40b1 --- /dev/null +++ b/external/distortions/FIRAS_distortions_shapes.dat @@ -0,0 +1,46 @@ +# In the file there is: nu, G_T, Y_SZ, M_mu, S_i (i=1-6) +# The first line contains the number of lines and the number of columns. +43 6 +6.805000e+01 3.445226e+00 -6.085061e+00 -1.303651e+00 1.159416e-01 -1.143274e-02 1.953829e-03 1.055479e-04 -1.141010e-05 -3.431193e-07 +8.154000e+01 4.702095e+00 -7.841510e+00 -1.130042e+00 6.807954e-02 4.487917e-04 -6.155627e-04 -2.686210e-04 3.960074e-05 4.860171e-06 +9.533000e+01 6.049100e+00 -9.382388e+00 -8.443271e-01 2.209337e-02 7.052385e-03 -1.253151e-03 -1.840044e-04 3.814927e-06 -1.544173e-06 +1.088200e+02 7.367093e+00 -1.047966e+01 -4.842350e-01 -1.461941e-02 8.847621e-03 -8.626352e-04 6.957054e-07 -2.448419e-05 -3.497931e-06 +1.223200e+02 8.631073e+00 -1.105347e+01 -7.018993e-02 -4.049049e-02 7.388839e-03 -1.601504e-04 1.302490e-04 -2.741635e-05 -1.700091e-06 +1.361100e+02 9.816112e+00 -1.102664e+01 3.819053e-01 -5.513175e-02 4.041212e-03 4.531144e-04 1.682262e-04 -1.338739e-05 2.524398e-07 +1.496000e+02 1.083294e+01 -1.038200e+01 8.290435e-01 -5.892346e-02 2.165494e-04 7.686759e-04 1.342635e-04 4.027675e-06 -4.334707e-07 +1.633900e+02 1.169782e+01 -9.120123e+00 1.270022e+00 -5.403675e-02 -3.293036e-03 7.833735e-04 5.987318e-05 1.365095e-05 4.527429e-06 +1.768800e+02 1.235571e+01 -7.363810e+00 1.668977e+00 -4.311109e-02 -5.786368e-03 5.596882e-04 -8.794919e-06 1.739765e-05 1.949678e-06 +1.903700e+02 1.282017e+01 -5.187260e+00 2.023392e+00 -2.853504e-02 -7.106298e-03 2.080202e-04 -5.676328e-05 1.390292e-05 -6.389676e-07 +2.041600e+02 1.309660e+01 -2.645488e+00 2.330913e+00 -1.215372e-02 -7.250650e-03 -1.782059e-04 -7.650284e-05 6.126821e-06 -2.060926e-06 +2.176500e+02 1.318189e+01 2.876852e-02 2.573360e+00 3.467232e-03 -6.388187e-03 -5.006896e-04 -6.866523e-05 -2.197432e-06 -2.591761e-06 +2.311400e+02 1.309862e+01 2.770114e+00 2.756572e+00 1.731539e-02 -4.795589e-03 -7.172657e-04 -4.210973e-05 -8.682441e-06 -2.039885e-06 +2.449300e+02 1.285846e+01 5.529085e+00 2.883905e+00 2.869425e-02 -2.713983e-03 -8.105420e-04 -7.354864e-06 -9.186159e-06 5.606857e-07 +2.584200e+02 1.249318e+01 8.090372e+00 2.953194e+00 3.663833e-02 -5.220192e-04 -7.719584e-04 2.747219e-05 -8.258995e-06 1.118125e-06 +2.722100e+02 1.200968e+01 1.048857e+01 2.972603e+00 4.136575e-02 1.632522e-03 -6.229531e-04 5.437386e-05 -4.599318e-06 1.516016e-06 +2.857000e+02 1.145145e+01 1.256181e+01 2.947238e+00 4.282639e-02 3.471442e-03 -3.994709e-04 6.761202e-05 7.443777e-08 1.686922e-06 +2.991900e+02 1.083024e+01 1.432733e+01 2.884425e+00 4.150360e-02 4.921696e-03 -1.327867e-04 6.634887e-05 4.660431e-06 1.678566e-06 +3.129800e+02 1.015056e+01 1.579308e+01 2.788298e+00 3.775503e-02 5.933607e-03 1.504734e-04 5.123084e-05 8.400924e-06 1.373273e-06 +3.264700e+02 9.459963e+00 1.689033e+01 2.669521e+00 3.226586e-02 6.442896e-03 4.064207e-04 2.716893e-05 1.253500e-05 -1.321546e-06 +3.399600e+02 8.759474e+00 1.766261e+01 2.532313e+00 2.551601e-02 6.500890e-03 6.260375e-04 -4.859641e-06 1.205069e-05 -1.796321e-06 +3.537600e+02 8.046304e+00 1.813508e+01 2.378573e+00 1.781575e-02 6.141313e-03 7.938091e-04 -4.010765e-05 9.483200e-06 -2.140053e-06 +3.672500e+02 7.363487e+00 1.831232e+01 2.220146e+00 9.961844e-03 5.447536e-03 8.942096e-04 -7.313804e-05 5.046627e-06 -1.888111e-06 +3.810400e+02 6.689141e+00 1.823446e+01 2.054261e+00 1.990896e-03 4.466635e-03 9.291522e-04 -1.016121e-04 -5.465645e-07 -1.411536e-06 +3.945300e+02 6.059286e+00 1.793858e+01 1.891708e+00 -5.444315e-03 3.319791e-03 9.002189e-04 -1.218689e-04 -6.541398e-06 -4.782033e-07 +4.080200e+02 5.463712e+00 1.745974e+01 1.731773e+00 -1.229405e-02 2.059979e-03 8.142473e-04 -1.316301e-04 -1.150840e-05 -1.133048e-06 +4.218100e+02 4.893624e+00 1.681617e+01 1.573346e+00 -1.852291e-02 7.278437e-04 6.791143e-04 -1.324069e-04 -1.655319e-05 -1.494354e-08 +4.353000e+02 4.375684e+00 1.606855e+01 1.425080e+00 -2.376214e-02 -5.618701e-04 5.102268e-04 -1.232274e-04 -2.017566e-05 1.157025e-06 +4.487900e+02 3.897761e+00 1.523413e+01 1.284714e+00 -2.811081e-02 -1.791344e-03 3.159649e-04 -1.049370e-04 -2.213912e-05 2.215625e-06 +4.625800e+02 3.450355e+00 1.431944e+01 1.150264e+00 -3.163265e-02 -2.948560e-03 1.021694e-04 -7.808224e-05 -2.225878e-05 3.001929e-06 +4.760700e+02 3.051995e+00 1.338845e+01 1.028077e+00 -3.420543e-02 -3.956889e-03 -1.119669e-04 -4.553449e-05 -2.051001e-05 3.527491e-06 +4.898600e+02 2.683421e+00 1.242120e+01 9.129330e-01 -3.600123e-02 -4.844163e-03 -3.270452e-04 -7.596585e-06 -1.695220e-05 3.653418e-06 +5.033500e+02 2.358770e+00 1.147735e+01 8.098115e-01 -3.701415e-02 -5.563672e-03 -5.260017e-04 3.245135e-05 -1.233785e-05 3.160250e-06 +5.168400e+02 2.067479e+00 1.055011e+01 7.158942e-01 -3.737693e-02 -6.134335e-03 -7.091099e-04 7.316205e-05 -6.182792e-06 2.707763e-06 +5.306300e+02 1.801798e+00 9.631177e+00 6.290435e-01 -3.716572e-02 -6.568506e-03 -8.752803e-04 1.142021e-04 1.049252e-06 1.906312e-06 +5.441200e+02 1.570866e+00 8.769422e+00 5.525884e-01 -3.647964e-02 -6.855681e-03 -1.014716e-03 1.524459e-04 8.765531e-06 8.363744e-07 +5.579100e+02 1.361906e+00 7.933247e+00 4.825954e-01 -3.537765e-02 -7.020392e-03 -1.132106e-03 1.884851e-04 1.690528e-05 -4.890034e-07 +5.714000e+02 1.181623e+00 7.163521e+00 4.215513e-01 -3.398980e-02 -7.068872e-03 -1.222166e-03 2.199400e-04 2.489170e-05 -1.971708e-06 +5.849000e+02 1.022816e+00 6.443734e+00 3.672422e-01 -3.236698e-02 -7.019924e-03 -1.287481e-03 2.469374e-04 3.202758e-05 -3.277789e-06 +5.986900e+02 8.806757e-01 5.761979e+00 3.181762e-01 -3.053925e-02 -6.884750e-03 -1.331424e-03 2.698055e-04 3.929252e-05 -4.864834e-06 +6.121800e+02 7.592016e-01 5.147472e+00 2.758762e-01 -2.864288e-02 -6.683602e-03 -1.353299e-03 2.873596e-04 4.575069e-05 -6.427704e-06 +6.256700e+02 6.532140e-01 4.583972e+00 2.386693e-01 -2.668942e-02 -6.427962e-03 -1.356382e-03 3.001967e-04 5.141958e-05 -7.942166e-06 +6.394600e+02 5.590721e-01 4.059040e+00 2.053663e-01 -2.467699e-02 -6.123397e-03 -1.342450e-03 3.086272e-04 5.627672e-05 -9.370702e-06 diff --git a/external/distortions/FIRAS_nu_delta_I.dat b/external/distortions/FIRAS_nu_delta_I.dat new file mode 100644 index 00000000..064bdca8 --- /dev/null +++ b/external/distortions/FIRAS_nu_delta_I.dat @@ -0,0 +1,49 @@ +# This files contains the +# 1) the frequency array in GHz, +# 2) the uncertainty of the monopole spectrum in 10^-26 W/(m^2 Hz sr) and +# for COBE/FIRAS as given in Tables 3 and 4 of Fixsen et al. 1996. +# The first line contains the number of lines and the number of columns. +43 2 +68.05 14.0e3 +81.54 19.0e3 +95.33 25.0e3 +108.82 23.0e3 +122.32 22.0e3 +136.11 21.0e3 +149.60 18.0e3 +163.39 18.0e3 +176.88 16.0e3 +190.37 14.0e3 +204.16 13.0e3 +217.65 12.0e3 +231.14 11.0e3 +244.93 10.0e3 +258.42 11.0e3 +272.21 12.0e3 +285.70 14.0e3 +299.19 16.0e3 +312.98 18.0e3 +326.47 22.0e3 +339.96 22.0e3 +353.76 23.0e3 +367.25 23.0e3 +381.04 23.0e3 +394.53 22.0e3 +408.02 21.0e3 +421.81 20.0e3 +435.30 19.0e3 +448.79 19.0e3 +462.58 19.0e3 +476.07 21.0e3 +489.86 23.0e3 +503.35 26.0e3 +516.84 28.0e3 +530.63 30.0e3 +544.12 32.0e3 +557.91 33.0e3 +571.40 35.0e3 +584.90 41.0e3 +598.69 55.0e3 +612.18 88.0e3 +625.67 155.0e3 +639.46 282.0e3 diff --git a/external/distortions/Greens_data.dat b/external/distortions/Greens_data.dat new file mode 100644 index 00000000..eb6d0bdb --- /dev/null +++ b/external/distortions/Greens_data.dat @@ -0,0 +1,4207 @@ +# Data for Greens-function +# This file has been copied form the public version of CosmoTherm by J. Chluba +# +# The data contains: +# 1) Line 13: length of z array and length of x array +# 2) Line 14: Number of points in redshift space +# 3) Line 15: Redshift vector +# 4) Line 16: Temperature of initial blackbody +# 5) Line 17: Temperature of last blackbody shift around z~50000 +# 6) Line 18: the energy injected by the temperature shift +# 7) Lines 19-4207: Green's function as function of x in [10^26 W/(m^2 Hz sr)] +# +118 4190 +1.0000000000000000e+03 1.0798408271867902e+03 1.1660562120594511e+03 1.2591551045765727e+03 1.3596870896824355e+03 1.4682456316378805e+03 1.5854715773812400e+03 1.7120569396005030e+03 1.8487489818490915e+03 1.9963546298206588e+03 2.1557452348237184e+03 2.3278617175760251e+03 2.5137201226837569e+03 2.7144176165949075e+03 2.9311389644342403e+03 3.1651635239541015e+03 3.4178727978880524e+03 3.6907585892906632e+03 3.9854318080063804e+03 4.3036319802541539e+03 4.6472375174651688e+03 5.0182768049930728e+03 5.4189401761560021e+03 5.8515928422960269e+03 6.3187888551852420e+03 6.8232861842019020e+03 7.3680629972807783e+03 7.9563352417480555e+03 8.5915756288246303e+03 9.2775341338678554e+03 1.0018260133369546e+04 1.0818126309390213e+04 1.1681854462543104e+04 1.2614543385908240e+04 1.3621698964422807e+04 1.4709266677431766e+04 1.5883666696269005e+04 1.7151831784058391e+04 1.8521248221466292e+04 2.0000000000000025e+04 2.1720739709979560e+04 2.3589526677434147e+04 2.5619098442108305e+04 2.7823288443268866e+04 3.0217120307596269e+04 3.2816910249321802e+04 3.5640378280563964e+04 3.8706768989866934e+04 4.2036982712160403e+04 4.5653717984187337e+04 4.9581626256367294e+04 5.3847479915602111e+04 5.8480354764257281e+04 6.3511828199084775e+04 6.8976194440863008e+04 7.4910698281746227e+04 8.1355788943531137e+04 8.8355395777123646e+04 9.5957227682356490e+04 1.0421309828898552e+05 1.1317927911527854e+05 1.2291688311130453e+05 1.3349228120113141e+05 1.4497755466305863e+05 1.5745098643128149e+05 1.7099759466766944e+05 1.8570971224045183e+05 2.0168761605950297e+05 2.1904021055773785e+05 2.3788576997718704e+05 2.5835274451912750e+05 2.8058063585294085e+05 3.0472094795111433e+05 3.3093821973121917e+05 3.5941114654329169e+05 3.9033379814660794e+05 4.2391694147750863e+05 4.6038947722418013e+05 4.9999999999999895e+05 5.3040917756972427e+05 5.6266779130038258e+05 5.9688832085721835e+05 6.3319008673370176e+05 6.7169966629945021e+05 7.1255133515149925e+05 7.5588753530783136e+05 8.0185937187566550e+05 8.5062713992629491e+05 9.0236088341358572e+05 9.5724098808497970e+05 1.0154588104523687e+06 1.0772173450159428e+06 1.1427319320674962e+06 1.2122310085411654e+06 1.2859569045296740e+06 1.3641666882433856e+06 1.4471330623583773e+06 1.5351453148789268e+06 1.6285103278298939e+06 1.7275536472961123e+06 1.8326206185398169e+06 1.9440775901540474e+06 2.0623131914506794e+06 2.1877396875370964e+06 2.3207944168063938e+06 2.4619413158533745e+06 2.6116725371334264e+06 2.7705101650047516e+06 2.9390080361374631e+06 3.1177536706369645e+06 3.3073703206150825e+06 3.5085191433519223e+06 3.7219015066258535e+06 3.9482614342498733e+06 4.1883882003414705e+06 4.4431190813717144e+06 4.7133422755894400e+06 5.0000000000000149e+06 +2.7259993185131668e+00 2.7259993185097513e+00 2.7259993185067053e+00 2.7259993185042974e+00 2.7259993185024349e+00 2.7259993185009934e+00 2.7259993185001909e+00 2.7259993184999889e+00 2.7259993185000004e+00 2.7259993184999969e+00 2.7259993184999738e+00 2.7259993184999596e+00 2.7259993184999516e+00 2.7259993184999463e+00 2.7259993184999427e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999454e+00 2.7259993184999489e+00 2.7259993184999454e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999409e+00 2.7259993184999409e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999409e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999409e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999409e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 +2.7259993185131668e+00 2.7259993185097513e+00 2.7259993185067053e+00 2.7259993185042974e+00 2.7259993185024349e+00 2.7259993185009934e+00 2.7259993185001909e+00 2.7259993184999889e+00 2.7259993185000004e+00 2.7259993184999969e+00 2.7259993184999738e+00 2.7259993184999596e+00 2.7259993184999516e+00 2.7259993184999463e+00 2.7259993184999427e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999454e+00 2.7259993184999489e+00 2.7259993184999454e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999409e+00 2.7259993184999409e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999414e+00 2.7259993184999503e+00 2.7259993185027120e+00 2.7259993185382214e+00 2.7259993185909410e+00 2.7259993185940861e+00 2.7259993185956386e+00 2.7259993185998375e+00 2.7259993186064007e+00 2.7259993186163811e+00 2.7259993186283884e+00 2.7259993186615157e+00 2.7259993186831086e+00 2.7259993187298694e+00 2.7259993187727760e+00 2.7259993188655045e+00 2.7259993189669860e+00 2.7259993191269993e+00 2.7259993193843970e+00 2.7259993197262791e+00 2.7259993202393202e+00 2.7259993209672206e+00 2.7259993219251610e+00 2.7259993232146873e+00 2.7259993248020420e+00 2.7259993267330724e+00 2.7259993290119984e+00 2.7259993316533091e+00 2.7259993347453895e+00 2.7259993383020649e+00 2.7259993424021789e+00 2.7259993472076269e+00 2.7259993511619185e+00 2.7259993556162523e+00 2.7259993606465067e+00 2.7259993663369806e+00 2.7259993727837539e+00 2.7259993801036635e+00 2.7259993883545617e+00 2.7259993977437502e+00 2.7259994083752099e+00 2.7259994203949414e+00 2.7259994339565599e+00 2.7259994492172424e+00 2.7259994663327696e+00 2.7259994854604539e+00 2.7259995066817813e+00 2.7259995301656126e+00 2.7259995559392083e+00 2.7259995839986217e+00 2.7259996142595968e+00 2.7259996465378800e+00 2.7259996805303830e+00 2.7259997158059370e+00 2.7259997517737244e+00 2.7259997877391147e+00 2.7259998228780820e+00 2.7259998563095045e+00 2.7259998871652211e+00 2.7259999146416987e+00 2.7259999381428459e+00 2.7259999573301195e+00 2.7259999721783656e+00 2.7259999829972155e+00 2.7259999903418204e+00 2.7259999949502434e+00 2.7259999975930187e+00 2.7259999989621546e+00 2.7259999995949555e+00 2.7259999998524735e+00 2.7259999999465228e+00 +9.9999971334842729e-07 9.9999971334842835e-07 9.9999971334842941e-07 9.9999971334842878e-07 9.9999971334842941e-07 9.9999971334842750e-07 9.9999971334842899e-07 9.9999971334842962e-07 9.9999971334842750e-07 9.9999971334843153e-07 9.9999971334842878e-07 9.9999971334842856e-07 9.9999971334842835e-07 9.9999971334842560e-07 9.9999971334842645e-07 9.9999971334842412e-07 9.9999971334842856e-07 9.9999971334842856e-07 9.9999971334842793e-07 9.9999971334842581e-07 9.9999971334842835e-07 9.9999971334842581e-07 9.9999971334843089e-07 9.9999971334842687e-07 9.9999971334843047e-07 9.9999971334842899e-07 9.9999971334842708e-07 9.9999971334842560e-07 9.9999971334843026e-07 9.9999971334842666e-07 9.9999971334842772e-07 9.9999971334842433e-07 9.9999971334842814e-07 9.9999971334842560e-07 9.9999971334843322e-07 9.9999971334842390e-07 9.9999971334842581e-07 9.9999971334842306e-07 9.9999971334843174e-07 9.9999971334843068e-07 9.9999971334842941e-07 9.9999971334842602e-07 9.9999971334842539e-07 9.9999971334842687e-07 9.9999971334842920e-07 9.9999971334843153e-07 9.9999971334843428e-07 9.9999971334843110e-07 9.9999971334843343e-07 9.9999971334842856e-07 9.9999971334843280e-07 9.9999971334842878e-07 9.9999971334842750e-07 9.9999971334843047e-07 9.9999971334842899e-07 9.9999971334842475e-07 9.9999971334842772e-07 9.9999971334843026e-07 9.9999971334842899e-07 9.9999971334842962e-07 9.9999971334842496e-07 9.9999971334842687e-07 9.9999971334842856e-07 9.9999971334842623e-07 9.9999971334842581e-07 9.9999971334842835e-07 9.9999971334842920e-07 9.9999971334842962e-07 9.9999971334843047e-07 9.9999971334843238e-07 9.9999971334842899e-07 9.9999971334842496e-07 9.9999971334842750e-07 9.9999971334843195e-07 9.9999971334843365e-07 9.9999971334842750e-07 9.9999971334843026e-07 9.9999971334842878e-07 9.9999971334842454e-07 9.9999971334842390e-07 9.9999971334842962e-07 9.9999971334843153e-07 9.9999971334842539e-07 9.9999971334842772e-07 9.9999971334843026e-07 9.9999971334842772e-07 9.9999971334843026e-07 9.9999971334842623e-07 9.9999971334842518e-07 9.9999971334842750e-07 9.9999971334842729e-07 9.9999971334843026e-07 9.9999971334842835e-07 9.9999971334842496e-07 9.9999971334842708e-07 9.9999971334843005e-07 9.9999971334842750e-07 9.9999971334842962e-07 9.9999971334843407e-07 9.9999971334842454e-07 9.9999971334843005e-07 9.9999971334842835e-07 9.9999971334842920e-07 9.9999971334842920e-07 9.9999971334842327e-07 9.9999971334842729e-07 9.9999971334842369e-07 9.9999971334842433e-07 9.9999971334843047e-07 9.9999971334842708e-07 9.9999971334843068e-07 9.9999971334842687e-07 9.9999971334843216e-07 9.9999971334842645e-07 9.9999971334842623e-07 9.9999971334842878e-07 9.9999971334842602e-07 9.9999971334842920e-07 +1.0030768854896979e-03 1.4303622483963738e+05 3.9842157247792999e+05 8.2605158815017692e+05 1.3296927696465396e+06 1.6775788000405459e+06 1.6312313412819933e+06 1.2542385581461210e+06 8.4142140834953240e+05 5.3683052613474184e+05 3.3201803185234859e+05 1.9626270959027909e+05 1.1049427330130080e+05 5.9459749949002871e+04 3.0676152077958985e+04 1.5230117672460310e+04 7.3445554769993059e+03 3.5062086916868598e+03 1.7193041861976542e+03 9.2367527878533610e+02 5.8532440862819840e+02 4.4808052184914800e+02 3.9501131726336121e+02 3.7541759432689940e+02 3.6839473212156446e+02 3.6577900421915928e+02 3.6468699431233370e+02 3.6406335153124036e+02 3.6350642911613261e+02 3.6289269968913027e+02 3.6218289820273196e+02 3.6135585944641463e+02 3.6039249463280532e+02 3.5927234937088440e+02 3.5797288078535416e+02 3.5646935316737802e+02 3.5473488247401878e+02 3.5274068236800485e+02 3.5045645635987648e+02 3.4785105963192592e+02 3.4489334012420119e+02 3.4128850598257117e+02 3.3720877624714257e+02 3.3262670605695814e+02 3.2752391032755133e+02 3.2189413077649800e+02 3.1574615894722848e+02 3.0910623661337434e+02 3.0201945935430433e+02 2.9455004439889592e+02 2.8677814472966548e+02 2.7879632180530331e+02 2.7070953305196315e+02 2.6263053464264505e+02 2.5466026574075943e+02 2.4688986494474264e+02 2.3940349564298424e+02 2.3226634256976459e+02 2.2552961851856006e+02 2.1922685423969966e+02 2.1338304359756160e+02 2.0800506640567372e+02 2.0309723862637532e+02 1.9864881602654611e+02 1.9465351752385138e+02 1.9109236018505740e+02 1.8794565153281684e+02 1.8519643611945102e+02 1.8282103701565944e+02 1.8079127769948434e+02 1.7908601711084114e+02 1.7767439996761945e+02 1.7652983280517714e+02 1.7561992784890029e+02 1.7491309533487703e+02 1.7436545756465526e+02 1.7393453450126776e+02 1.7358539425989358e+02 1.7328628237190540e+02 1.7300843794847356e+02 1.7281327346185807e+02 1.7261666664776905e+02 1.7241625436812473e+02 1.7220641489812735e+02 1.7198996555983220e+02 1.7176097366596144e+02 1.7152562349673616e+02 1.7126512526914470e+02 1.7098633042460389e+02 1.7068410714802587e+02 1.7035444809715656e+02 1.6999248373196630e+02 1.6959272832734544e+02 1.6914760407598018e+02 1.6865657099284394e+02 1.6810312352135770e+02 1.6748260104350260e+02 1.6678599827851914e+02 1.6600362415260113e+02 1.6512548453609620e+02 1.6414155493786100e+02 1.6304104128244433e+02 1.6182405683156227e+02 1.6047124991672220e+02 1.5898644009163004e+02 1.5737306197066886e+02 1.5564377028779899e+02 1.5382009695795500e+02 1.5194302631614195e+02 1.5007381501282899e+02 1.4831108677755296e+02 1.4678219190231002e+02 1.4568307298804916e+02 1.4528799254585982e+02 1.4599465717786623e+02 1.4838267359003930e+02 1.5333031549266471e+02 1.6222809527632700e+02 1.7741666605973856e+02 2.7174153397458736e+02 +1.0092590872715947e-03 1.4289678653784859e+05 3.9804516750092164e+05 8.2541051547852147e+05 1.3293809143877069e+06 1.6793199856060727e+06 1.6366635531044232e+06 1.2625950698545917e+06 8.5051168469482777e+05 5.4515042812507157e+05 3.3888809431449434e+05 2.0145328380532024e+05 1.1411727279055881e+05 6.1819224821109492e+04 3.2119135656878516e+04 1.6062335671645800e+04 7.7994405296141713e+03 3.7431660393627330e+03 1.8377162944241529e+03 9.8116772427653905e+02 6.1321900852899353e+02 4.6237947367473117e+02 4.0340807785186212e+02 3.8139587102331154e+02 3.7343275371999772e+02 3.7045873896661715e+02 3.6923953155457508e+02 3.6857598858450933e+02 3.6800447013310014e+02 3.6738146695610408e+02 3.6666254181479798e+02 3.6582520694970384e+02 3.6484991359778326e+02 3.6371590971215738e+02 3.6240036507909116e+02 3.6087823646549913e+02 3.5912230700947219e+02 3.5710343425953801e+02 3.5479094697966764e+02 3.5215331513731411e+02 3.4915900139390408e+02 3.4550956680347821e+02 3.4137936145441529e+02 3.3674060126099977e+02 3.3157467406643406e+02 3.2587524461651657e+02 3.1965121373540609e+02 3.1292914841010355e+02 3.0575470270160088e+02 2.9819288886932583e+02 2.9032485202165321e+02 2.8224429917271488e+02 2.7405748650662974e+02 2.6587856525901020e+02 2.5780972339365280e+02 2.4994322694480749e+02 2.4236428034708638e+02 2.3513887458781960e+02 2.2831885588488308e+02 2.2193816975547156e+02 2.1602211928852279e+02 2.1057766958279205e+02 2.0560919019957979e+02 2.0110580424084782e+02 1.9706115295307396e+02 1.9345601827786004e+02 1.9027046319013851e+02 1.8748732068359652e+02 1.8508261831423545e+02 1.8302782774362149e+02 1.8130154299953605e+02 1.7987252429283271e+02 1.7871384736063158e+02 1.7779272334358367e+02 1.7707717259134154e+02 1.7652277647595423e+02 1.7608653186305250e+02 1.7573307706496087e+02 1.7543026673514856e+02 1.7514898557795132e+02 1.7495140666172074e+02 1.7475236742738110e+02 1.7454947558229804e+02 1.7433703988524138e+02 1.7411791253170682e+02 1.7388608744769016e+02 1.7364782537916960e+02 1.7338410413801282e+02 1.7310185990506398e+02 1.7279589737175152e+02 1.7246215961476526e+02 1.7209571684561138e+02 1.7169101546735584e+02 1.7124038392610095e+02 1.7074327550542554e+02 1.7018298050405241e+02 1.6955478061061905e+02 1.6884955912606586e+02 1.6805750507375168e+02 1.6716850067177501e+02 1.6617239740089457e+02 1.6505826764548260e+02 1.6382622602012435e+02 1.6245668149557966e+02 1.6095350085386372e+02 1.5932016120424916e+02 1.5756947385118133e+02 1.5572323711364376e+02 1.5382294240540148e+02 1.5193060428430314e+02 1.5014606665806795e+02 1.4859825552336832e+02 1.4748553775547305e+02 1.4708556918893916e+02 1.4780097703593668e+02 1.5021853919470664e+02 1.5522739582701274e+02 1.6423526346072313e+02 1.7961175489894956e+02 2.7510062131378947e+02 +1.0154793914356965e-03 1.4275736626219074e+05 3.9766861294412584e+05 8.2476704886926373e+05 1.3290553727097802e+06 1.6810192505082758e+06 1.6420253985325994e+06 1.2708866698016194e+06 8.5957398378723860e+05 5.5348534428889374e+05 3.4580680565448944e+05 2.0671064699672413e+05 1.1780987443794981e+05 6.4240331077624585e+04 3.3610596551461451e+04 1.6929186339178625e+04 8.2771225271534404e+03 3.9940869614428575e+03 1.9641358269524758e+03 1.0429788030887355e+03 6.4331589862103897e+02 4.7775043300351399e+02 4.1231339364060943e+02 3.8762050829340427e+02 3.7860252776360619e+02 3.7522136362296260e+02 3.7385591143846528e+02 3.7314642141720009e+02 3.7255863665042210e+02 3.7192588234592444e+02 3.7119763830099555e+02 3.7034986227072307e+02 3.6936248914312898e+02 3.6821445436982145e+02 3.6688263451517275e+02 3.6534167455065102e+02 3.6356402058847664e+02 3.6152016963682280e+02 3.5917907107328148e+02 3.5650880488226983e+02 3.5347744367978981e+02 3.4978285626526662e+02 3.4560155017727806e+02 3.4090539791387636e+02 3.3567555744830861e+02 3.2990561561445639e+02 3.2360458388660612e+02 3.1679935851046514e+02 3.0953615896340887e+02 3.0188080239575828e+02 2.9391543834494666e+02 2.8573493357784474e+02 2.7744685912687174e+02 2.6916677856843938e+02 2.6099814412924172e+02 2.5303436323714593e+02 2.4536169425754088e+02 2.3804694440707738e+02 2.3114260116630345e+02 2.2468302995229527e+02 2.1869384690735501e+02 2.1318210347553324e+02 2.0815222348784079e+02 2.0359319574494819e+02 1.9949858286281926e+02 1.9584892873769849e+02 1.9262404874123115e+02 1.8980656163494479e+02 1.8737219572171816e+02 1.8529206639270913e+02 1.8354449937993246e+02 1.8209786554131441e+02 1.8092490566464801e+02 1.7999242482672304e+02 1.7926804869190815e+02 1.7870681106199893e+02 1.7826517930272630e+02 1.7790735667398420e+02 1.7760080217119599e+02 1.7731604174732485e+02 1.7711601850844966e+02 1.7691451673390401e+02 1.7670911461740508e+02 1.7649405054218263e+02 1.7627221200882113e+02 1.7603751864890066e+02 1.7579630861914032e+02 1.7552932445088200e+02 1.7524358811261885e+02 1.7493384001536532e+02 1.7459597304162591e+02 1.7422499640821360e+02 1.7381528780526540e+02 1.7335908077207537e+02 1.7285582177619909e+02 1.7228859444519503e+02 1.7165262205886714e+02 1.7093867512060999e+02 1.7013682126596493e+02 1.6923681752898449e+02 1.6822838982660508e+02 1.6710047534969112e+02 1.6585319008106225e+02 1.6446670066820411e+02 1.6294492170572514e+02 1.6129137332379997e+02 1.5951902533662386e+02 1.5764994576599901e+02 1.5572613938459963e+02 1.5381038804342651e+02 1.5200377093791070e+02 1.5043680928472432e+02 1.4931032425500061e+02 1.4890540702983853e+02 1.4962966636793533e+02 1.5207714016763867e+02 1.5714796961329586e+02 1.6626728842576307e+02 1.8183402772803495e+02 2.7850122613950361e+02 +1.0217380328160612e-03 1.4261796304100123e+05 3.9729190886846383e+05 8.2412124248688878e+05 1.3287163084558151e+06 1.6826769703246513e+06 1.6473170559575548e+06 1.2791127467315909e+06 8.6860681265213166e+05 5.6183341037685028e+05 3.5277251081336167e+05 2.1203376654167348e+05 1.2157179266852856e+05 6.6723402005171753e+04 3.5151234791795840e+04 1.7831483681820282e+04 8.7783498208622987e+03 4.2595651833778820e+03 2.0989841580004909e+03 1.1093809304225979e+03 6.7577720338724646e+02 4.9428285192391184e+02 4.2177331924112480e+02 3.9411389590664572e+02 3.8391451730978935e+02 3.8007149340864783e+02 3.7853814121424500e+02 3.7777572266825297e+02 3.7716971907913660e+02 3.7652665873606475e+02 3.7578887998421408e+02 3.7493051163884672e+02 3.7393090465966458e+02 3.7276866438931864e+02 3.7142036762232254e+02 3.6986034308327822e+02 3.6806069556849502e+02 3.6599155706186696e+02 3.6362149285455439e+02 3.6091818812120255e+02 3.5784932060688823e+02 3.5410902113205367e+02 3.4987598141615973e+02 3.4512172629841467e+02 3.3982718104796027e+02 3.3398585363705638e+02 3.2760686757792485e+02 3.2071745246899081e+02 3.1336440022593621e+02 3.0561434287503835e+02 2.9755044683618837e+02 2.8926875300533857e+02 2.8087816355237294e+02 2.7249567188622450e+02 2.6422601015312898e+02 2.5616374130333236e+02 2.4839619067743570e+02 2.4099099182222511e+02 2.3400128141477774e+02 2.2746184996888357e+02 2.2139863055577078e+02 2.1581876203916229e+02 2.1072672319651795e+02 2.0611136687332348e+02 2.0196617608120394e+02 1.9827145371580934e+02 1.9500676445148602e+02 1.9215451010931622e+02 1.8969011595356253e+02 1.8758433659323455e+02 1.8581522603812999e+02 1.8435076088543565e+02 1.8316334276996412e+02 1.8221936566431603e+02 1.8148605568837795e+02 1.8091789235294002e+02 1.8047080704289598e+02 1.8010856265212709e+02 1.7979821767999923e+02 1.7950993492963855e+02 1.7930743710502136e+02 1.7910344229684983e+02 1.7889549882280554e+02 1.7867777381960479e+02 1.7845319053115131e+02 1.7821559337468679e+02 1.7797139887493168e+02 1.7770111137138301e+02 1.7741183968082211e+02 1.7709825913938874e+02 1.7675621181231463e+02 1.7638064516676880e+02 1.7596586732950345e+02 1.7550401575730194e+02 1.7499453001596987e+02 1.7442028450493706e+02 1.7377644337073446e+02 1.7305366292196052e+02 1.7224188790313386e+02 1.7133074861459542e+02 1.7030984385382280e+02 1.6916797394457521e+02 1.6790525625315885e+02 1.6650161210499073e+02 1.6496100449848049e+02 1.6328699711742863e+02 1.6149272024896891e+02 1.5960051495771080e+02 1.5765290573223740e+02 1.5571345121992098e+02 1.5388448119996502e+02 1.5229813186669526e+02 1.5115770908002642e+02 1.5074778191197930e+02 1.5148100235897735e+02 1.5395875822829288e+02 1.5909232796419252e+02 1.6832447817762565e+02 1.8408382138999150e+02 2.8194386149877539e+02 +1.0280352476940847e-03 1.4247858039643991e+05 3.9691506693075807e+05 8.2347310955838545e+05 1.3283639070899119e+06 1.6842935282373964e+06 1.6525387350301787e+06 1.2872726967798630e+06 8.7760869837105088e+05 5.7019277300471626e+05 3.5978353863272897e+05 2.1742157170690727e+05 1.2540269531831866e+05 6.9268730148513278e+04 3.6741724366817667e+04 1.8770032106464496e+04 9.3038740556299235e+03 4.5402049992525217e+03 2.2426954066824683e+03 1.1806580907597970e+03 7.1077393256748724e+02 5.1207220976096141e+02 4.3183759904731124e+02 4.0090049810103824e+02 3.8938027245273173e+02 3.8501425005160058e+02 3.8328842801634579e+02 3.8246503691586872e+02 3.8183853535154265e+02 3.8118452277564882e+02 3.8043696905686369e+02 3.7956785011245250e+02 3.7855585209308430e+02 3.7737922928723538e+02 3.7601425135796501e+02 3.7443492611124157e+02 3.7261301265335203e+02 3.7051827339475835e+02 3.6811888478151872e+02 3.6538213229153735e+02 3.6227529391233406e+02 3.5848871619427103e+02 3.5420330210011736e+02 3.4939022451651198e+02 3.4403017313822733e+02 3.3811657611601726e+02 3.3165867040331597e+02 3.2468402310012050e+02 3.1724000566731746e+02 3.0939407511755610e+02 3.0123042736258469e+02 2.9284629198049464e+02 2.8435191877237099e+02 2.7586574868784174e+02 2.6749380964170814e+02 2.5933183441323712e+02 2.5146822852252859e+02 2.4397146207204429e+02 2.3689532896821189e+02 2.3027505008211222e+02 2.2413687933758490e+02 2.1848804410451319e+02 2.1333307879351926e+02 2.0866069861829990e+02 2.0446430600238517e+02 2.0072395984705761e+02 1.9741897099705696e+02 1.9453152159002107e+02 1.9203673001804734e+02 1.8990498553849960e+02 1.8811406696819415e+02 1.8663155167339104e+02 1.8542949787958153e+02 1.8447388335129540e+02 1.8373152974588834e+02 1.8315635547949270e+02 1.8270374939695114e+02 1.8233702864702880e+02 1.8202284633681438e+02 1.8173099766694580e+02 1.8152599461858927e+02 1.8131947590569848e+02 1.8110895960263818e+02 1.8088854071852239e+02 1.8066117868353655e+02 1.8042064176981566e+02 1.8017342583924750e+02 1.7989979409123893e+02 1.7960694326622357e+02 1.7928948281870612e+02 1.7894320336806925e+02 1.7856298986705900e+02 1.7814308001703688e+02 1.7767551400369848e+02 1.7715972440264235e+02 1.7657837379734315e+02 1.7592656646720192e+02 1.7519484311228038e+02 1.7437302406403788e+02 1.7345061131910757e+02 1.7241707498217730e+02 1.7126107681434024e+02 1.6998273558123537e+02 1.6856172425069994e+02 1.6700205482291062e+02 1.6530733507493505e+02 1.6349085775403410e+02 1.6157524034894283e+02 1.5960353350092234e+02 1.5764008227349129e+02 1.5578848251591597e+02 1.5418250540191619e+02 1.5302797225087841e+02 1.5261297309615736e+02 1.5335526562807598e+02 1.5586367858561593e+02 1.6106076559850248e+02 1.7040714453774919e+02 1.8636147690056984e+02 2.8542904677680536e+02 +1.0343712738074213e-03 1.4233921373228409e+05 3.9653808719421842e+05 8.2282270464499318e+05 1.3279983284718590e+06 1.6858693050129781e+06 1.6576906550526298e+06 1.2953659296209821e+06 8.8657820742540190e+05 5.7856158953715151e+05 3.6683820383203216e+05 2.2287295490554409e+05 1.2930220404277870e+05 7.1876566769640165e+04 3.8382712090928129e+04 1.9745625145280243e+04 9.8544491376591795e+03 4.8366206644025287e+03 2.3957162410466067e+03 1.2571059285821384e+03 7.4848621014883804e+02 5.3122026490075541e+02 4.4255987798686198e+02 4.0800700388929931e+02 3.9501252636152748e+02 3.9005531485567820e+02 3.8810920297328062e+02 3.8721559004815367e+02 3.8656593421022990e+02 3.8590021598724735e+02 3.8514261797269711e+02 3.8426258176294658e+02 3.8323803207207828e+02 3.8204684716209817e+02 3.8066498121204143e+02 3.7906611617724690e+02 3.7722166099784920e+02 3.7510100389872326e+02 3.7267192765972055e+02 3.6990131311392111e+02 3.6675603354551748e+02 3.6292260436765088e+02 3.5858416718565701e+02 3.5371153858589111e+02 3.4828516978569678e+02 3.4229840813989784e+02 3.3576060546769207e+02 3.2869967056846821e+02 3.2116356164550439e+02 3.1322057093410149e+02 3.0495593660428534e+02 2.9646809165156520e+02 2.8786865020474545e+02 2.7927751868348810e+02 2.7080203681681883e+02 2.6253912169621901e+02 2.5457827238993937e+02 2.4698880590727217e+02 2.3982518151654631e+02 2.3312305577118570e+02 2.2690900741969196e+02 2.2119035343895882e+02 2.1597168456657772e+02 2.1124157668834988e+02 2.0699335064195634e+02 2.0320681830498356e+02 1.9986103351897751e+02 1.9693795596193382e+02 1.9441239327000218e+02 1.9225436472171867e+02 1.9044137042462890e+02 1.8894058348162829e+02 1.8772371439782904e+02 1.8675631956343184e+02 1.8600481119399419e+02 1.8542253972451570e+02 1.8496434481966367e+02 1.8459309243995466e+02 1.8427502534308874e+02 1.8397956662113245e+02 1.8377202733144779e+02 1.8356295346039710e+02 1.8334983246678229e+02 1.8312668634050129e+02 1.8289651114639349e+02 1.8265299806921536e+02 1.8240272328853058e+02 1.8212570588006594e+02 1.8182923159587466e+02 1.8150784319273473e+02 1.8115727920697265e+02 1.8077236130268952e+02 1.8034725588379416e+02 1.7987390466030482e+02 1.7935173313019911e+02 1.7876318943918966e+02 1.7810331725775367e+02 1.7736254024540634e+02 1.7653055277979453e+02 1.7559672696528060e+02 1.7455040261923867e+02 1.7338010122521345e+02 1.7208594296368059e+02 1.7064734937092129e+02 1.6906838205527501e+02 1.6735269343299191e+02 1.6551374072329682e+02 1.6357442126295948e+02 1.6157831836103406e+02 1.5959057323706699e+02 1.5771606348845424e+02 1.5609021551833209e+02 1.5492139725628292e+02 1.5450126330244595e+02 1.5525274027052203e+02 1.5779218998150759e+02 1.6305358088643806e+02 1.7251560319045902e+02 1.8866733949987093e+02 2.8895730777514376e+02 +1.0407463503589592e-03 1.4219986574014244e+05 3.9616097821102763e+05 8.2217005244284356e+05 1.3276197357601812e+06 1.6874046594410923e+06 1.6627730314830116e+06 1.3033919281089031e+06 8.9551393570239970e+05 5.8693803125582333e+05 3.7393480817048706e+05 2.2838677297372633e+05 1.3326989477422796e+05 7.4547121398212767e+04 4.0074816516458472e+04 2.0759044188536416e+04 1.0430830178244098e+04 5.1494357493476855e+03 2.5585056446783874e+03 1.3390318128076658e+03 7.8910349064118157e+02 5.5183530467918797e+02 4.5399791643572212e+02 4.1546248358628122e+02 4.0082529721262296e+02 3.9520098608171071e+02 3.9300314777325025e+02 3.9202869978573375e+02 3.9135279896745192e+02 3.9067449603719302e+02 3.8990654989563222e+02 3.8901541987658766e+02 3.8797815403802991e+02 3.8677222480676869e+02 3.8537326131631289e+02 3.8375461442282369e+02 3.8188733831296253e+02 3.7974044234386884e+02 3.7728131074599355e+02 3.7447641469760958e+02 3.7129221777129089e+02 3.6741135679505987e+02 3.6301923975715840e+02 3.5808632254104702e+02 3.5259281494741043e+02 3.4653198255158838e+02 3.3991329347852883e+02 3.3276500247959541e+02 3.2513566178735852e+02 3.1709440922319453e+02 3.0872753814087218e+02 3.0013469987142071e+02 2.9142888977686698e+02 2.8273149789672505e+02 2.7415119202151010e+02 2.6578608821458795e+02 2.5772679262834720e+02 2.5004347965862462e+02 2.4279128216719948e+02 2.3600629778167453e+02 2.2971543409616922e+02 2.2392609880761708e+02 2.1864293968402509e+02 2.1385439156594373e+02 2.0955369269470219e+02 2.0572040485713549e+02 2.0233332167919181e+02 1.9937417756556152e+02 1.9681746546415110e+02 1.9463282998827987e+02 1.9279748897482543e+02 1.9127820616627170e+02 1.9004633998262651e+02 1.8906702020848874e+02 1.8830624457778515e+02 1.8771678857296683e+02 1.8725293595851650e+02 1.8687709599604375e+02 1.8655509607729974e+02 1.8625598262429170e+02 1.8604587569173518e+02 1.8583421502169162e+02 1.8561845708135425e+02 1.8539254993815425e+02 1.8515952674606194e+02 1.8491300064788797e+02 1.8465962913445784e+02 1.8437918413643928e+02 1.8407904151893064e+02 1.8375367651488358e+02 1.8339877493310681e+02 1.8300909436445664e+02 1.8257872903312494e+02 1.8209952095370573e+02 1.8157088845780416e+02 1.8097506259951098e+02 1.8030702568895572e+02 1.7955708289551887e+02 1.7871480108358412e+02 1.7776942085604171e+02 1.7671015012989827e+02 1.7552536837377991e+02 1.7421519719928503e+02 1.7275880359958825e+02 1.7116029940440268e+02 1.6942338222211907e+02 1.6756167578078646e+02 1.6559836073054612e+02 1.6357755964557072e+02 1.6156521976142466e+02 1.5966751629570791e+02 1.5802155138168885e+02 1.5683827109710012e+02 1.5641293875342035e+02 1.5717371390099362e+02 1.5974458473532900e+02 1.6507107589397475e+02 1.7465017373100309e+02 1.9100175870524976e+02 2.9252917679080292e+02 +1.0471607180258511e-03 1.4206053653767970e+05 3.9578373636153305e+05 8.2151520028940251e+05 1.3272282948684567e+06 1.6888999737546241e+06 1.6677861251754090e+06 1.3113501755320865e+06 9.0441450402294984e+05 5.9532028326998244e+05 3.8107164110655634e+05 2.3396184830093672e+05 1.3730529821664235e+05 7.7280561456652737e+04 4.1818626892471533e+04 2.1811057227352721e+04 1.1033772416786780e+04 5.4792824561008738e+03 2.7315346455944277e+03 1.4267548737566444e+03 8.3282476126238521e+02 5.7403239225641073e+02 4.6621380869133651e+02 4.2329855137689486e+02 4.0683399610853780e+02 4.0045824084011321e+02 3.9797322386611847e+02 3.9690578746874246e+02 3.9620005178679617e+02 3.9550813820186517e+02 3.9472949921394394e+02 3.9382708717374794e+02 3.9277693638473204e+02 3.9155607782575714e+02 3.9013980455474371e+02 3.8850113069846310e+02 3.8661075097469364e+02 3.8443729111504518e+02 3.8194773185437316e+02 3.7910812964431932e+02 3.7588453327457142e+02 3.7195565295044895e+02 3.6750919112714280e+02 3.6251523853115998e+02 3.5695376057010776e+02 3.5081794004342169e+02 3.4411736284206074e+02 3.3688063397380080e+02 3.2915690707959152e+02 3.2101617605889260e+02 3.1254580253618093e+02 3.0384667128131389e+02 2.9503317600477243e+02 2.8622820874299947e+02 2.7754178179353545e+02 2.6907322503681866e+02 2.6091426541032376e+02 2.5313594530563873e+02 2.4579407951277364e+02 2.3892521219080592e+02 2.3255658385000177e+02 2.2669569403467463e+02 2.2134724825507223e+02 2.1649953856648219e+02 2.1214571959316723e+02 2.0826509992342258e+02 2.0483620971564474e+02 2.0184055525192792e+02 1.9925231080976033e+02 1.9704074159007817e+02 1.9518277955246592e+02 1.9364477391633829e+02 1.9239772659792087e+02 1.9140633547896280e+02 1.9063617871032145e+02 1.9003944976534569e+02 1.8956986970538060e+02 1.8918938551657240e+02 1.8886340414711086e+02 1.8856059073121727e+02 1.8834788436458820e+02 1.8813360486294920e+02 1.8791517731991169e+02 1.8768647496658127e+02 1.8745056850584439e+02 1.8720099207271491e+02 1.8694448547416744e+02 1.8666057043806904e+02 1.8635671405713094e+02 1.8602732320443053e+02 1.8566803030788066e+02 1.8527352809213173e+02 1.8483783770739490e+02 1.8435270023879903e+02 1.8381752676058835e+02 1.8321432854959482e+02 1.8253802579453637e+02 1.8177880370722016e+02 1.8092610005933463e+02 1.7996902232398202e+02 1.7889664488422122e+02 1.7769720343550182e+02 1.7637082103655101e+02 1.7489640698694188e+02 1.7327812395923638e+02 1.7151971531339038e+02 1.6963497334850254e+02 1.6764736553651775e+02 1.6560156039572223e+02 1.6356432115951799e+02 1.6164313673493433e+02 1.5997680574051614e+02 1.5877888432937652e+02 1.5834828921703283e+02 1.5911847769681216e+02 1.6172115878723173e+02 1.6711355642910951e+02 1.7681117971320703e+02 1.9336508836314619e+02 2.9614519269667119e+02 +1.0536146189686001e-03 1.4192122633992456e+05 3.9540637782350782e+05 8.2085817499006982e+05 1.3268241633002947e+06 1.6903555950449214e+06 1.6727301759763523e+06 1.3192401846797734e+06 9.1327857239145972e+05 6.0370654574782716e+05 3.8824698116158368e+05 2.3959697012359579e+05 1.4140790039547023e+05 8.0077011946318744e+04 4.3614702168815704e+04 2.2902417607971918e+04 1.1664030125408850e+04 5.8268008982993424e+03 2.9152860072647532e+03 1.5206060115331657e+03 8.7985872863702423e+02 5.9793360935268822e+02 4.7927420435944367e+02 4.3154953370909936e+02 4.1305554105279634e+02 4.0583480168812326e+02 4.0302270448105855e+02 4.0184839122708502e+02 4.0110865855578004e+02 4.0040193705342477e+02 3.9961221213362825e+02 3.9869831605871195e+02 3.9763510660349061e+02 3.9639913075214184e+02 3.9496533267486711e+02 3.9330638367232791e+02 3.9139261413003982e+02 3.8919226131850689e+02 3.8667189746409156e+02 3.8379715915423185e+02 3.8053367526426763e+02 3.7655618074047317e+02 3.7205470094097774e+02 3.6699895692283383e+02 3.6136866668956731e+02 3.5515692925668486e+02 3.4837344975868803e+02 3.4104718782002118e+02 3.3322790596001613e+02 3.2498646477987836e+02 3.1641130742469682e+02 3.0760456739460551e+02 2.9868205407653716e+02 2.8976818010795398e+02 2.8097431894476745e+02 2.7240102931190756e+02 2.6414117280321915e+02 2.5626667054740352e+02 2.4883402769898609e+02 2.4188024047361691e+02 2.3543288641825839e+02 2.2949955806653969e+02 2.2408501939001130e+02 2.1917741789881327e+02 2.1476982356463787e+02 2.1084128863251490e+02 2.0737007649905112e+02 2.0433746243910059e+02 2.0171729802574944e+02 1.9947846424037934e+02 1.9759760351118297e+02 1.9604064530817084e+02 1.9477823056681478e+02 1.9377461990515800e+02 1.9299496672525132e+02 1.9239087534901608e+02 1.9191549724923323e+02 1.9153031149179304e+02 1.9120029944107264e+02 1.9089374027002688e+02 1.9067840228504602e+02 1.9046147152196508e+02 1.9024034131593200e+02 1.9000880913563765e+02 1.8976998369853433e+02 1.8951731915393279e+02 1.8925763864290408e+02 1.8897021059408584e+02 1.8866259445655362e+02 1.8832912789705912e+02 1.8796538930145294e+02 1.8756600572526557e+02 1.8712492433900908e+02 1.8663378404876715e+02 1.8609198858065753e+02 1.8548132671411426e+02 1.8479665574610996e+02 1.8402803944559426e+02 1.8316478489237267e+02 1.8219586478149716e+02 1.8111021830794905e+02 1.7989593561395438e+02 1.7855314122138776e+02 1.7706048354757894e+02 1.7542217673615954e+02 1.7364201046553160e+02 1.7173394769342164e+02 1.6972174626611766e+02 1.6765062740652016e+02 1.6558818045238493e+02 1.6364322426794345e+02 1.6195627496886883e+02 1.6074353110825180e+02 1.6030760805081096e+02 1.6108732644240573e+02 1.6372221174326504e+02 1.6918133208788998e+02 1.7899894869938282e+02 1.9575768670349572e+02 2.9980590102262710e+02 +1.0601082968402023e-03 1.4178193544084002e+05 3.9502889665256650e+05 8.2019900739100738e+05 1.3264075257342826e+06 1.6917719295885365e+06 1.6776054619350526e+06 1.3270614825536702e+06 9.2210482407371840e+05 6.1209503429929062e+05 3.9545909912766161e+05 2.4529089589724009e+05 1.4557714329431168e+05 8.2936555194250119e+04 4.5463570047306035e+04 2.4033862800333391e+04 1.2322355497807408e+04 6.1926383465548133e+03 3.1102538817639861e+03 1.6209278748089810e+03 9.3042398867605436e+02 6.2366829370073719e+02 4.9325053194323681e+02 4.4025264323877201e+02 4.1950847701029960e+02 4.1133920811228137e+02 4.0815520965067878e+02 4.0685818066025433e+02 4.0607963440925386e+02 4.0535670840181547e+02 4.0455544735546101e+02 4.0362984889429003e+02 4.0255340144186454e+02 4.0130211717218998e+02 3.9985057639997586e+02 3.9817110094100207e+02 3.9623365180947792e+02 3.9400607289163565e+02 3.9145452282629452e+02 3.8854421313501661e+02 3.8524034758094757e+02 3.8121363661267981e+02 3.7665645727920150e+02 3.7153815640263986e+02 3.6583820153163492e+02 3.5954960687908988e+02 3.5268219832038471e+02 3.4526529451034679e+02 3.3734927441020631e+02 3.2900587608071532e+02 3.2032463760068373e+02 3.1140895668310077e+02 3.0237607593429914e+02 2.9335194742853395e+02 2.8444932263737428e+02 2.7577000434472797e+02 2.6740800284333989e+02 2.5943612887269813e+02 2.5191158649273913e+02 2.4487182956924877e+02 2.3834477685771040e+02 2.3233811503449900e+02 2.2685666726310166e+02 2.2188843472527586e+02 2.1742640169201516e+02 2.1344936088029408e+02 2.0993530559062808e+02 2.0686527716801379e+02 2.0421280039611281e+02 2.0194636716816822e+02 2.0004232667989550e+02 1.9846618335796759e+02 1.9718821262572362e+02 1.9617223240786200e+02 1.9538296613022771e+02 1.9477142173231061e+02 1.9429017412909374e+02 1.9390022875278120e+02 1.9356613618178309e+02 1.9325578489657465e+02 1.9303778270991140e+02 1.9281816785410774e+02 1.9259430151482925e+02 1.9235990446193472e+02 1.9211812389832977e+02 1.9186233299754829e+02 1.9159943926561971e+02 1.9130845469682069e+02 1.9099703223983786e+02 1.9065943949778037e+02 1.9029120014514061e+02 1.8988687475469425e+02 1.8944033560153417e+02 1.8894311814794173e+02 1.8839461867824983e+02 1.8777640072196107e+02 1.8708325790428387e+02 1.8630513104706515e+02 1.8543119491997300e+02 1.8445028577069510e+02 1.8335120593186437e+02 1.8212189819012968e+02 1.8076248854736161e+02 1.7925136130962619e+02 1.7759278272823869e+02 1.7579058937370283e+02 1.7385891697581383e+02 1.7182181735127287e+02 1.6972507127283271e+02 1.6763710441398732e+02 1.6566808206519616e+02 1.6396025911257010e+02 1.6273250923255526e+02 1.6229119224589311e+02 1.6308055857331377e+02 1.6574804692066590e+02 1.7127471630139598e+02 1.8121381230873843e+02 1.9817991639339735e+02 3.0351185403766692e+02 +1.0666419967953454e-03 1.4164266270964555e+05 3.9465129910937144e+05 8.1953774809334078e+05 1.3259785015100020e+06 1.6931493518644921e+06 1.6824122544422322e+06 1.3348136364037069e+06 9.3089196264961909e+05 6.2048397996808332e+05 4.0270625943538785e+05 2.5104235261647560e+05 1.4981242559581134e+05 8.5859230661055219e+04 4.7365726083849644e+04 2.5206113185193823e+04 1.3009497524980399e+04 6.5774484407103555e+03 3.3169434251502162e+03 1.7280748090674476e+03 9.8474917828417961e+02 6.5137327001690517e+02 5.0821922387793546e+02 4.4944815800937471e+02 4.2621310206947459e+02 4.1698089306847942e+02 4.1337474442461473e+02 4.1193697315936936e+02 4.1111404998460597e+02 4.1037329151954225e+02 4.0955997686003519e+02 4.0862243831225783e+02 4.0753256706913834e+02 4.0626577985261326e+02 4.0479627554846684e+02 4.0309601914340101e+02 4.0113459703595061e+02 3.9887945471348240e+02 3.9629633207505503e+02 3.9335001030880903e+02 3.9000526280399316e+02 3.8592872566090062e+02 3.8131515676395338e+02 3.7613352407943802e+02 3.7036304161437221e+02 3.6399663774690157e+02 3.5704426060916211e+02 3.4953559235640267e+02 3.4152163605095825e+02 3.3307501810231491e+02 3.2428638510597023e+02 3.1526041466234403e+02 3.0611580035832031e+02 2.9698005277417252e+02 2.8796731846380885e+02 2.7918065967231269e+02 2.7071524960929378e+02 2.6264479963202655e+02 2.5502722135265125e+02 2.4790043194974780e+02 2.4129269560902412e+02 2.3521179432009740e+02 2.2966261117490689e+02 2.2463299922282627e+02 2.2011585597235691e+02 2.1608971138927529e+02 2.1253228529966131e+02 2.0942438215971828e+02 2.0673919582657555e+02 2.0444482417446409e+02 2.0251731941742759e+02 2.0092175557855791e+02 1.9962803797897959e+02 1.9859953635419888e+02 1.9780053886112290e+02 1.9718144973826531e+02 1.9669426028791028e+02 1.9629949652613328e+02 1.9596127297929209e+02 1.9564708264708065e+02 1.9542638327222511e+02 1.9520405108543645e+02 1.9497741472807709e+02 1.9474011732224693e+02 1.9449534503407097e+02 1.9423638905893881e+02 1.9397024231041442e+02 1.9367565717543846e+02 1.9336038125909371e+02 1.9301861123312403e+02 1.9264581538309125e+02 1.9223648697583860e+02 1.9178442246336436e+02 1.9128105258320164e+02 1.9072576608407692e+02 1.9009989845839465e+02 1.8939817887004236e+02 1.8861042367100660e+02 1.8772567368274323e+02 1.8673262701482273e+02 1.8561994744298093e+02 1.8437542857389590e+02 1.8299919790558340e+02 1.8146937236458135e+02 1.7979027095422740e+02 1.7796577771759559e+02 1.7601020329664317e+02 1.7394789711904946e+02 1.7182520643745255e+02 1.6971140361868117e+02 1.6771801705325495e+02 1.6598906193380270e+02 1.6474612018984692e+02 1.6429934247251111e+02 1.6509847622231598e+02 1.6779897139379153e+02 1.7339402638281189e+02 1.8345610626855020e+02 2.0063214459257651e+02 3.0726361083325440e+02 +1.0732159654996635e-03 1.4150341020302140e+05 3.9427359846237232e+05 8.1887441513363633e+05 1.3255372992966797e+06 1.6944881927198658e+06 1.6871508329041849e+06 1.3424962375643717e+06 9.3963873869232251e+05 6.2887163297524292e+05 4.0998671984431474e+05 2.5685003815799690e+05 1.5411310348822456e+05 8.8845034817883279e+04 4.9321632844791522e+04 2.6419870864021203e+04 1.3726200860483419e+04 6.9818903707664413e+03 3.5358703753851032e+03 1.8424127734876879e+03 1.0430731076055972e+03 6.8119307329868457e+02 5.2426194220219918e+02 4.5917960550277837e+02 4.3319159966445994e+02 4.2277026473318472e+02 4.1868574046354706e+02 4.1708675201172474e+02 4.1621303848144242e+02 4.1545255169350156e+02 4.1462658680714571e+02 4.1367684756489865e+02 4.1257335925821343e+02 4.1129087087128539e+02 4.0980317914858671e+02 4.0808188407357432e+02 4.0609619194017841e+02 4.0381314471701222e+02 4.0119805833837529e+02 3.9821527832481291e+02 3.9482914236194108e+02 3.9070216173254687e+02 3.8603150466631945e+02 3.8078575559218092e+02 3.7494387185244267e+02 3.6849869494499046e+02 3.6146029679628441e+02 3.5385872758706392e+02 3.4574562223481587e+02 3.3719450652526416e+02 3.2829714932125427e+02 3.1915952398012809e+02 3.0990179305214735e+02 3.0065304492892324e+02 2.9152883852569806e+02 2.8263351114194421e+02 2.7406341329695158e+02 2.6589316811001595e+02 2.5818140349925284e+02 2.5096650568701818e+02 2.4427708856486572e+02 2.3812103061859372e+02 2.3250327561581298e+02 2.2741152664544887e+02 2.2283859337953120e+02 2.1876273976749192e+02 2.1516140874239085e+02 2.1201516487377341e+02 2.0929686690221195e+02 2.0697421368870360e+02 2.0502295666912846e+02 2.0340773403343445e+02 2.0209807635367034e+02 2.0105689961114416e+02 2.0024805133657142e+02 1.9962132465873086e+02 1.9912812012706760e+02 1.9872847848780873e+02 1.9838607288603822e+02 1.9806799599267825e+02 1.9784456603407227e+02 1.9761948286649655e+02 1.9739004218644496e+02 1.9714980850807393e+02 1.9690200744395253e+02 1.9663984719599290e+02 1.9637040714218378e+02 1.9607217684919962e+02 1.9575299974940873e+02 1.9540700070478545e+02 1.9502959192665440e+02 1.9461519854146817e+02 1.9415754023967617e+02 1.9364794173700841e+02 1.9308578415196635e+02 1.9245217211772922e+02 1.9174176953787571e+02 1.9094426675263981e+02 1.9004856897610159e+02 1.8904323446963360e+02 1.8791678673583391e+02 1.8665686835386612e+02 1.8526360833483301e+02 1.8371485291697152e+02 1.8201497450790879e+02 1.8016790521089078e+02 1.7818813274678740e+02 1.7610030783945891e+02 1.7395135123722025e+02 1.7181139248721965e+02 1.6979333995982586e+02 1.6804299095735348e+02 1.6678466920195277e+02 1.6633236312457794e+02 1.6714138526408203e+02 1.6987529604064665e+02 1.7553958357614238e+02 1.8572617046430992e+02 2.0311474300838179e+02 3.1106173740745896e+02 +1.0798304511390499e-03 1.4136417586346317e+05 3.9389578461406124e+05 8.1820906217737903e+05 1.3250840374473121e+06 1.6957888450210781e+06 1.6918214547515551e+06 1.3501089225747199e+06 9.4834392771408334e+05 6.3725626194354857e+05 4.1729873297958268e+05 2.6271262256479455e+05 1.5847849142885636e+05 9.1893921095885220e+04 5.1331719118151785e+04 2.7675818495928557e+04 1.4473204678000089e+04 7.4066280281742620e+03 3.7675605931732866e+03 1.9643192257550775e+03 1.1056448715471831e+03 7.1328016321380733e+02 5.4146580401189419e+02 4.6949395114112258e+02 4.4046817680463408e+02 4.2871879361441046e+02 4.2409310120316542e+02 4.2230968642885705e+02 4.2137780361416412e+02 4.2059538314214302e+02 4.1975607857335075e+02 4.1879385092213579e+02 4.1767654358370686e+02 4.1637815175732300e+02 4.1487204556248224e+02 4.1312945079812846e+02 4.1111918787384212e+02 4.0880789000195574e+02 4.0616044385070808e+02 4.0314075386797305e+02 3.9971271664212236e+02 3.9553466754018342e+02 3.9080621501271588e+02 3.8549555521480698e+02 3.7958138566040924e+02 3.7305645991149919e+02 3.6593097524383899e+02 3.5823535444667988e+02 3.5002187214535832e+02 3.4136496466430367e+02 3.3235753705685471e+02 3.2310687450534368e+02 3.1373462672818039e+02 3.0437147947518469e+02 2.9513442151492166e+02 2.8612908098840575e+02 2.7745300029552857e+02 2.6918172559962619e+02 2.6137460998607452e+02 2.5407051452376274e+02 2.4729840713718318e+02 2.4106626400613155e+02 2.3537909032964595e+02 2.3022443738657694e+02 2.2559502592408333e+02 2.2146885057002507e+02 2.1782307390145010e+02 2.1463801756620722e+02 2.1188620094404698e+02 2.0953491882624246e+02 2.0755961802295360e+02 2.0592449539379771e+02 2.0459870205574578e+02 2.0354469460229612e+02 2.0272587451361710e+02 2.0209141631036124e+02 2.0159212256123510e+02 2.0118754281841836e+02 2.0084090345068768e+02 2.0051889189421237e+02 2.0029269754279508e+02 2.0006482932741298e+02 1.9983254959493240e+02 1.9958934327948270e+02 1.9933847592846732e+02 1.9907307172399925e+02 1.9880029757691449e+02 1.9849837698119742e+02 1.9817525038261067e+02 1.9782496994424574e+02 1.9744289110761045e+02 1.9702337001577669e+02 1.9656004864658792e+02 1.9604414438155510e+02 1.9547503061255918e+02 1.9483357825700045e+02 1.9411438514805147e+02 1.9330701405483103e+02 1.9240023290371957e+02 1.9138245837616608e+02 1.9024207196417058e+02 1.8896656334941099e+02 1.8755606307372773e+02 1.8598814333611065e+02 1.8426723060873400e+02 1.8239730565146220e+02 1.8039303545543575e+02 1.7827937577389548e+02 1.7610382795272596e+02 1.7393738933529107e+02 1.7189436536169316e+02 1.7012235751660813e+02 1.6884846527156884e+02 1.6839056236665638e+02 1.6920959536171557e+02 1.7197733558963668e+02 1.7771171310397187e+02 1.8802434899147286e+02 2.0562808795157426e+02 3.1490680675021531e+02 +1.0864857034290267e-03 1.4122496254527275e+05 3.9351786821634520e+05 8.1754169870770455e+05 1.3246188921119329e+06 1.6970516974696098e+06 1.6964244640680715e+06 1.3576513215155830e+06 9.5700633709226421e+05 6.4563615366509371e+05 4.2464054835215746e+05 2.6862874950952083e+05 1.6290786284445389e+05 9.5005799894024080e+04 5.3396379179164083e+04 2.8974618163542997e+04 1.5251241524679885e+04 7.8523291296206744e+03 4.0125495663099096e+03 2.0941829741650822e+03 1.1727239393722052e+03 7.4779512835019432e+02 5.5992360579434876e+02 4.8044179077239983e+02 4.4806920819939143e+02 4.3483910513365771e+02 4.2960225077490372e+02 4.2760815365366079e+02 4.2660962855091009e+02 4.2580271234495143e+02 4.2494926994457865e+02 4.2397423412354948e+02 4.2284289563598446e+02 4.2152839363292674e+02 4.2000364260798852e+02 4.1823948377390320e+02 4.1620434552573380e+02 4.1386444695055957e+02 4.1118424006726929e+02 4.0812718277521265e+02 4.0465672510450707e+02 4.0042697477067253e+02 3.9564001069592467e+02 3.9026363596437699e+02 3.8427628506049717e+02 3.7767062254105008e+02 3.7045697260671238e+02 3.6266613529626090e+02 3.5435103289181006e+02 3.4558702356145614e+02 3.3646816264466258e+02 3.2710306341650215e+02 3.1761488119523273e+02 3.0813591887746907e+02 2.9878461279535554e+02 2.8966789791329740e+02 2.8088452326392701e+02 2.7251096947563002e+02 2.6460732377170103e+02 2.5721292794198376e+02 2.5035710832423666e+02 2.4404794000509014e+02 2.3829049037943807e+02 2.3307215704304062e+02 2.2838557071634216e+02 2.2420845335901490e+02 2.2051768368606707e+02 2.1729333734885495e+02 2.1450759006925594e+02 2.1212732744581396e+02 2.1012768776741277e+02 2.0847242099566844e+02 2.0713029402697805e+02 2.0606329836293446e+02 2.0523438394366002e+02 2.0459209908993532e+02 2.0408664107445060e+02 2.0367706225859504e+02 2.0332613677464636e+02 2.0300014185715526e+02 2.0277114888516158e+02 2.0254046113305085e+02 2.0230530718819961e+02 2.0205909142031814e+02 2.0180511980712234e+02 2.0153643147065733e+02 2.0126028193684121e+02 2.0095462533453667e+02 2.0062750032321040e+02 2.0027288546638042e+02 1.9988607873308555e+02 1.9946136642878378e+02 1.9899231185593814e+02 1.9847002373274535e+02 1.9789386762707122e+02 1.9724447784869221e+02 1.9651638534122139e+02 1.9569902372200772e+02 1.9478102193023915e+02 1.9375065331326323e+02 1.9259615559440530e+02 1.9130486366423452e+02 1.8987690961183526e+02 1.8828958820648160e+02 1.8654738065345506e+02 1.8465431697088462e+02 1.8262524564178710e+02 1.8048543122500999e+02 1.7828296285558812e+02 1.7608971642110347e+02 1.7402141173172129e+02 1.7222747680192046e+02 1.7093782122840960e+02 1.7047425218019436e+02 1.7130342001427471e+02 1.7410540866726569e+02 1.7991074421708424e+02 1.9035099020759910e+02 2.0817256039471437e+02 3.1879939892984464e+02 +1.0931819736241725e-03 1.4108576894790740e+05 3.9313985534040118e+05 8.1687236994210107e+05 1.3241420071079184e+06 1.6982770805354917e+06 1.7009601704490245e+06 1.3651230984587029e+06 9.6562480449003470e+05 6.5400961736562091e+05 4.3201041404631507e+05 2.7459703765264218e+05 1.6740045095795454e+05 9.8180538630803581e+04 5.5515972110259943e+04 3.0316910269701184e+04 1.6061036173107665e+04 8.3196643151327753e+03 4.2713818782335838e+03 2.2324039965571105e+03 1.2445802212002668e+03 7.8490687908931955e+02 5.7973404570049479e+02 4.9207754662415431e+02 4.5602338614244883e+02 4.4114507779140109e+02 4.3521918686276791e+02 4.3298476329709609e+02 4.3190988592722704e+02 4.3107550183305983e+02 4.3020699648733341e+02 4.2921879489465942e+02 4.2807320125876441e+02 4.2674237736690577e+02 4.2519874768779636e+02 4.2341275696775210e+02 4.2135243503975994e+02 4.1898358134391515e+02 4.1627020777932620e+02 4.1317532014907340e+02 4.0966191639265111e+02 4.0537982419912805e+02 4.0053362358571928e+02 3.9509071971104913e+02 3.8902928078907848e+02 3.8234188129000387e+02 3.7503897393540603e+02 3.6715174071294069e+02 3.5873375961048612e+02 3.4986132208484383e+02 3.4062964803365838e+02 3.3114869529426494e+02 3.2154314344691409e+02 3.1194693256876741e+02 3.0247996448568165e+02 2.9325049716601291e+02 2.8435850120905269e+02 2.7588140327093618e+02 2.6788003379389744e+02 2.6039422123566646e+02 2.5345365478207600e+02 2.4706650965248957e+02 2.4123791621289351e+02 2.3595511647927754e+02 2.3121065002917496e+02 2.2698196276632038e+02 2.2324564599276195e+02 2.1998152624978758e+02 2.1716143124930775e+02 2.1475183220853322e+02 2.1272755494948379e+02 2.1105189689699660e+02 2.0969323590172104e+02 2.0861309259852686e+02 2.0777395982907564e+02 2.0712375203121925e+02 2.0661205377634334e+02 2.0619741416546259e+02 2.0584214956763549e+02 2.0551212198871332e+02 2.0528029574438116e+02 2.0504675353931091e+02 2.0480868978641521e+02 2.0455942729441401e+02 2.0430231297326239e+02 2.0403029983136105e+02 2.0375073310579779e+02 2.0344129422674732e+02 2.0311012128257158e+02 2.0275111832580376e+02 2.0235952514119921e+02 2.0192955733142648e+02 2.0145469854943948e+02 2.0092594750486094e+02 2.0034266184255083e+02 1.9968523633675963e+02 1.9894813421224575e+02 1.9812065833493833e+02 1.9719129693524502e+02 1.9614817825172148e+02 1.9497939445801833e+02 1.9367212373678956e+02 1.9222649974289050e+02 1.9061953638099760e+02 1.8885577026663802e+02 1.8693928128673389e+02 1.8488510166321961e+02 1.8271880858623837e+02 1.8048908625863655e+02 1.7826869999360787e+02 1.7617480148692763e+02 1.7435866790644405e+02 1.7305305377634397e+02 1.7258374841041058e+02 1.7342317660303542e+02 1.7625983784668719e+02 1.8213701024437418e+02 1.9270644678404855e+02 2.1074854602821554e+02 3.2274010118007669e+02 +1.0999195145276074e-03 1.4094659364612526e+05 3.9276174874621117e+05 8.1620110516847426e+05 1.3236535334477189e+06 1.6994653885463879e+06 1.7054288869027349e+06 1.3725239532011461e+06 9.7419819439467287e+05 6.6237498123488633e+05 4.3940657798613491e+05 2.8061608212521469e+05 1.7195544978745215e+05 1.0141796185830297e+05 5.7690821177583464e+04 3.1703312464665716e+04 1.6903304474815632e+04 8.8093062228275703e+03 4.5446106416777811e+03 2.3793932256716835e+03 1.3214941103322808e+03 8.2479282785380633e+02 6.0100194277859237e+02 5.0445966615841689e+02 4.6436187596139331e+02 4.4765194698777424e+02 4.4095053768352574e+02 4.3844238406965343e+02 4.3728004904702840e+02 4.3641475449723691e+02 4.3553011312431374e+02 4.3452834353811068e+02 4.3336825681232909e+02 4.3202089373652825e+02 4.3045814791932764e+02 4.2865005398020821e+02 4.2656423613398857e+02 4.2416606848008195e+02 4.2141911723150241e+02 4.1828593047253099e+02 4.1472904845132308e+02 4.1039396580112970e+02 4.0548779464056491e+02 3.9997753728803389e+02 3.9384109240677861e+02 3.8707094328519997e+02 3.7967767278285066e+02 3.7169284959392303e+02 3.6317071556354693e+02 3.5418850702407610e+02 3.4484262288223442e+02 3.3524438221196743e+02 3.2552000775005155e+02 3.1580509703675796e+02 3.0622103554382460e+02 2.9687742062445983e+02 2.8787545956424913e+02 2.7929353675153192e+02 2.7119323504268846e+02 2.6361487558187264e+02 2.5658851489190602e+02 2.5012242956764067e+02 2.4422181372912337e+02 2.3887375189211153e+02 2.3407069136242845e+02 2.2978979855584348e+02 2.2600737376714008e+02 2.2270299127431451e+02 2.1984812636987323e+02 2.1740883063717672e+02 2.1535961343309557e+02 2.1366331393627360e+02 2.1228791606529040e+02 2.1119446374092723e+02 2.1034498708132213e+02 2.0968675886255818e+02 2.0916874345940539e+02 2.0874898056997571e+02 2.0838932320538959e+02 2.0805521305401336e+02 2.0782051845621592e+02 2.0758408644965670e+02 2.0734307685188952e+02 2.0709072990267850e+02 2.0683043395101558e+02 2.0655505482649309e+02 2.0627202858603320e+02 2.0595876058685701e+02 2.0562348957600440e+02 2.0526004417259358e+02 2.0486360525649886e+02 2.0442831685177794e+02 2.0394758197554521e+02 2.0341228796651251e+02 2.0282178444674707e+02 2.0215622369081683e+02 2.0141000036496516e+02 2.0057228496417360e+02 1.9963142326764060e+02 1.9857539660773736e+02 1.9739214980590123e+02 1.9606870239646412e+02 1.9460518961694973e+02 1.9297834103241749e+02 1.9119274935378124e+02 1.8925254495355344e+02 1.8717294606897659e+02 1.8497984639263547e+02 1.8272253256586595e+02 1.8047467034326243e+02 1.7835486103814034e+02 1.7651625387598531e+02 1.7519448354203817e+02 1.7471937081434911e+02 1.7556918644069830e+02 1.7844094969572384e+02 1.8439084864279917e+02 1.9509107576100888e+02 2.1335643531979642e+02 3.2672950798907698e+02 +1.1066985805005371e-03 1.4080743973083579e+05 3.9238354592142842e+05 8.1552793769798521e+05 1.3231536231548479e+06 1.7006169812181394e+06 1.7098309129736312e+06 1.3798535904147346e+06 9.8272540347001236e+05 6.7073059407030488e+05 4.4682728822215687e+05 2.8668445602903131e+05 1.7657201520177774e+05 1.0471785145977209e+05 5.9921213267465959e+04 3.3134418606816711e+04 1.7778752218144804e+04 9.3219285423453675e+03 4.8327968983684204e+03 2.5355723007339675e+03 1.4037565003779519e+03 8.6763905551463336e+02 6.2383845215290796e+02 5.1765082320681597e+02 4.7311847681440440e+02 4.5437641455491291e+02 4.4680362325147183e+02 4.4398417306417144e+02 4.4272170437733723e+02 4.4182151847173412e+02 4.4091949594034958e+02 4.3990370360777729e+02 4.3872886946605439e+02 4.3736474359772706e+02 4.3578264027016303e+02 4.3395216816770039e+02 4.3184053822176134e+02 4.2941269329292078e+02 4.2663174824075531e+02 4.2345978772880051e+02 4.1985888864168254e+02 4.1547015886908201e+02 4.1050327402255465e+02 4.0492482860511240e+02 3.9871244840744163e+02 3.9185852443053960e+02 3.8437377130780243e+02 3.7629014926012258e+02 3.6766257224065635e+02 3.5856923319081255e+02 3.4910772465562974e+02 3.3939074383070488e+02 3.2954607573595081e+02 3.1971099591087608e+02 3.1000839185053172e+02 3.0054921687707525e+02 2.9143593026852352e+02 2.8274788599589846e+02 2.7454742863579980e+02 2.6687537811366303e+02 2.5976216283291507e+02 2.5321616202150315e+02 2.4724263434555704e+02 2.4182850487780325e+02 2.3696612750669593e+02 2.3263238568749045e+02 2.2880328506666268e+02 2.2545814446534078e+02 2.2256808229257518e+02 2.2009872517633571e+02 2.1802426195914148e+02 2.1630706779197703e+02 2.1491472771216314e+02 2.1380780300822701e+02 2.1294785537859838e+02 2.1228150806410102e+02 2.1175709765724196e+02 2.1133214823430222e+02 2.1096804378648670e+02 2.1062980053386181e+02 2.1039220206708126e+02 2.1015284447213583e+02 2.0990885254658738e+02 2.0965338293922056e+02 2.0938986595251615e+02 2.0911107915782739e+02 2.0882455055509155e+02 2.0850740601167450e+02 2.0816798617953441e+02 2.0780004330938453e+02 2.0739869864715601e+02 2.0695802375140539e+02 2.0647134000498161e+02 2.0592942199658833e+02 2.0533161122462261e+02 2.0465781446280172e+02 2.0390235696876843e+02 2.0305427522710465e+02 2.0210177080170610e+02 2.0103267629903320e+02 1.9983478736301191e+02 1.9849496291621381e+02 1.9701333979587287e+02 1.9536635970834186e+02 1.9355867215334095e+02 1.9159445861525342e+02 1.8948912564974583e+02 1.8726888737181210e+02 1.8498364032276223e+02 1.8270796185043017e+02 1.8056192083808975e+02 1.7870056175716820e+02 1.7736243512333866e+02 1.7688144310951344e+02 1.7774177481892573e+02 1.8064907482707551e+02 1.8667260104878983e+02 1.9750523859992487e+02 2.1599662357277717e+02 3.3076822118841068e+02 +1.1135194274718566e-03 1.4066830519297093e+05 3.9200526400534750e+05 8.1485290290280187e+05 1.3226424313253707e+06 1.7017322105236801e+06 1.7141666320332268e+06 1.3871117624595573e+06 9.9120536162965326e+05 6.7907482721451484e+05 4.5427079496322916e+05 2.9280071174120624e+05 1.8124926595064206e+05 1.0807994693509527e+05 6.2207398382733671e+04 3.4610797758701709e+04 1.8688073992975271e+04 9.8582050494074501e+03 5.1365089859348354e+03 2.7013732851083623e+03 1.4916687762210224e+03 9.1364046273029999e+02 6.4836127510882955e+02 5.3171812073003582e+02 4.8232978755111429e+02 4.6133676402258538e+02 4.5278652109850015e+02 4.4961360776107063e+02 4.4823656544877508e+02 4.4729689265867722e+02 4.4637604425006498e+02 4.4534571268250215e+02 4.4415585752693909e+02 4.4277473807100421e+02 4.4117303169924395e+02 4.3931990277145144e+02 4.3718214053627946e+02 4.3472425047449042e+02 4.3190889031523881e+02 4.2869767551878198e+02 4.2505221386025556e+02 4.2060917212819066e+02 4.1558082121171793e+02 4.0993334276003912e+02 4.0364408633164055e+02 3.9670534951727399e+02 3.8912798038541615e+02 3.8094433556013956e+02 3.7221000946046064e+02 3.6300416351617474e+02 3.5342559872317810e+02 3.4358840749158168e+02 3.3362195649143518e+02 3.2366522005196549e+02 3.1384260629658229e+02 3.0426644130650152e+02 2.9504045184788009e+02 2.8624497347079165e+02 2.7794312189417383e+02 2.7017622199392144e+02 2.6297507865364736e+02 2.5634817500615100e+02 2.5030083506734908e+02 2.4481982249744442e+02 2.3989739660932779e+02 2.3551015438077633e+02 2.3163380312337972e+02 2.2824740296696007e+02 2.2532171091578931e+02 2.2282192325276336e+02 2.2072190420595089e+02 2.1898355904163688e+02 2.1757406890653613e+02 2.1645350646265942e+02 2.1558295922455522e+02 2.1490839292758520e+02 2.1437750870224724e+02 2.1394730871044152e+02 2.1357870219153924e+02 2.1323627468304983e+02 2.1299573639208768e+02 2.1275341697853364e+02 2.1250640578988595e+02 2.1224777485041446e+02 2.1198099693570805e+02 2.1169876026693527e+02 2.1140868592354883e+02 2.1108761682435042e+02 2.1074399678705342e+02 2.1037150074872275e+02 2.0996518958156784e+02 2.0951906148255108e+02 2.0902635518821251e+02 2.0847773114202832e+02 2.0787252261496911e+02 2.0719038784308987e+02 2.0642558181434796e+02 2.0556700534319583e+02 2.0460271399158913e+02 2.0352038979892916e+02 2.0230767738398012e+02 2.0095127306787256e+02 1.9945131530595336e+02 1.9778395438374667e+02 1.9595389729169676e+02 1.9396537725854549e+02 1.9183399149139998e+02 1.8958627849593336e+02 1.8727275226709526e+02 1.8496891303678490e+02 1.8279631543258509e+02 1.8091192264631093e+02 1.7955723713753554e+02 1.7907029302199888e+02 1.7994127105794743e+02 1.8288454794780364e+02 1.8898261332980690e+02 1.9994930123915722e+02 2.1866951098595473e+02 3.3485685004430866e+02 +1.1203823129478114e-03 1.4052919117265186e+05 3.9162689346138429e+05 8.1417603039374878e+05 1.3221201130390917e+06 1.7028114532446752e+06 1.7184363399596456e+06 1.3942982183615083e+06 9.9963702761484229e+05 6.8740607561669953e+05 4.6173535213032359e+05 2.9896338216918299e+05 1.8598628467997845e+05 1.1150394574581973e+05 6.4549589199181995e+04 3.6132993223950740e+04 1.9631952064997120e+04 1.0418808623836996e+04 5.4563218732262976e+03 2.8772383500573524e+03 1.5855427779857175e+03 9.6300090503992919e+02 6.7469486301665142e+02 5.4673329448209984e+02 4.9203537732403805e+02 4.6855298161740029e+02 4.5890813659804894e+02 4.5533452092391718e+02 4.5382648828626941e+02 4.5284203296319475e+02 4.5190068296411818e+02 4.5085522325575221e+02 4.4965005080650496e+02 4.4825169873860335e+02 4.4663013930260365e+02 4.4475407104767646e+02 4.4258985225256288e+02 4.4010154459797656e+02 4.3725134277812964e+02 4.3400038718321713e+02 4.3030981065735881e+02 4.2581178385605665e+02 4.2072120512327223e+02 4.1500383815612787e+02 4.0863675287784122e+02 4.0161215233591309e+02 3.9394101971317826e+02 3.8565611297847568e+02 3.7681371547719459e+02 3.6749396915475205e+02 3.5779689845628718e+02 3.4783800831294457e+02 3.3774826665247701e+02 3.2766836764140544e+02 3.1772425886931603e+02 3.0802965617393482e+02 2.9868956949663556e+02 2.8978532811201637e+02 2.8138082841962751e+02 2.7351790648975606e+02 2.6622774834370239e+02 2.5951894230627670e+02 2.5339687855531108e+02 2.4784815734517014e+02 2.4286494224064734e+02 2.3842354018017278e+02 2.3449935640798236e+02 2.3107118908672192e+02 2.2810942923683069e+02 2.2557883733796925e+02 2.2345294884938386e+02 2.2169319322316335e+02 2.2026634264106255e+02 2.1913197507148129e+02 2.1825069800824144e+02 2.1756781161481999e+02 2.1703037378619933e+02 2.1659485839937255e+02 2.1622169414128086e+02 2.1587503058959598e+02 2.1563151607335217e+02 2.1538619816270236e+02 2.1513613031809055e+02 2.1487429889294725e+02 2.1460421966339717e+02 2.1431849039324021e+02 2.1402482639342827e+02 2.1369978413204024e+02 2.1335191186914477e+02 2.1297480627052954e+02 2.1256346708773037e+02 2.1211181824620144e+02 2.1161301481350694e+02 2.1105760167397139e+02 2.1044490376809065e+02 2.0975432771813681e+02 2.0898005737091137e+02 2.0811085619087117e+02 2.0713463192953591e+02 2.0603891419417474e+02 2.0481119470820968e+02 2.0343800517772632e+02 2.0191948569471165e+02 2.0023149151656662e+02 1.9837878783572182e+02 1.9636566026647034e+02 1.9420789902764102e+02 1.9193237103436505e+02 1.8959021538172007e+02 1.8725786661653896e+02 1.8505838350983583e+02 1.8315067174093247e+02 1.8177922227159738e+02 1.8128625233695905e+02 1.8216800855655399e+02 1.8514770790980711e+02 1.9132123563631649e+02 2.0242363414839835e+02 2.2137550271447608e+02 3.3899601134888377e+02 +1.1272874960217192e-03 1.4039009778935052e+05 3.9124844855153502e+05 8.1349734667025635e+05 1.3215867934006527e+06 1.7038550880213443e+06 1.7226404068556221e+06 1.4014127498338416e+06 1.0080193903852788e+06 6.9572275824293774e+05 4.6921921812137665e+05 3.0517098229666526e+05 1.9078211894659564e+05 1.1498950368447859e+05 6.6947960679235432e+04 3.7701521627786322e+04 2.0611055262385635e+04 1.1004410253494723e+04 5.7928164654887751e+03 3.0636194247767189e+03 1.6857007372052622e+03 1.0159333105370229e+03 7.0297061400830603e+02 5.6277291683592534e+02 5.0227796058058141e+02 4.7604688295053978e+02 4.6517827803398745e+02 4.6115113854700365e+02 4.5949348849449808e+02 4.5845815931231698e+02 4.5749436528542083e+02 4.5643310375034082e+02 4.5521229103909411e+02 4.5379645786137587e+02 4.5215479046477384e+02 4.5025549639982677e+02 4.4806449261642689e+02 4.4554539024117332e+02 4.4265991488925539e+02 4.3936872592308390e+02 4.3563247535965417e+02 4.3107878200030325e+02 4.2592520422557186e+02 4.2013708261748900e+02 4.1369120401860164e+02 4.0657967578769950e+02 3.9881361792368244e+02 3.9042619474292002e+02 3.8147438708321329e+02 3.7203932958539053e+02 3.6222228532817672e+02 3.5214018928614496e+02 3.4192563049617729e+02 3.3172104427251730e+02 3.2165393674028218e+02 3.1183943070368451e+02 3.0238383516041307e+02 2.9336948540429023e+02 2.8486106817179268e+02 2.7690093704904865e+02 2.6952066390829424e+02 2.6272894357066281e+02 2.5653123319650683e+02 2.5091396761722930e+02 2.4586921346069064e+02 2.4137298402089115e+02 2.3740037869485178e+02 2.3392993035986993e+02 2.3093165941495110e+02 2.2836988500954141e+02 2.2621780962523064e+02 2.2443638089522383e+02 2.2299195689854517e+02 2.2184361476672007e+02 2.2095147606482337e+02 2.2026016721818263e+02 2.1971609501866368e+02 2.1927519861109269e+02 2.1889742025746091e+02 2.1854646823383175e+02 2.1829994064072739e+02 2.1805158709935782e+02 2.1779842474250697e+02 2.1753335319381529e+02 2.1725993176163561e+02 2.1697066663401034e+02 2.1667336851751458e+02 2.1634430388554730e+02 2.1599212673199230e+02 2.1561035448250041e+02 2.1519392501058812e+02 2.1473668705074465e+02 2.1423171096495301e+02 2.1366942464759069e+02 2.1304914460375045e+02 2.1235002272823081e+02 2.1156617084445210e+02 2.1068621336536478e+02 2.0969790840188173e+02 2.0858863124105872e+02 2.0734571881717477e+02 2.0595553618313099e+02 2.0441822508576408e+02 2.0270934210305782e+02 2.0083371134896964e+02 1.9879567147207285e+02 1.9661120809409013e+02 1.9430752060608208e+02 1.9193638094605845e+02 1.8957516954749985e+02 1.8734846795299089e+02 1.8541714838908706e+02 1.8402872733294976e+02 1.8352965694773255e+02 1.8442232484222478e+02 1.8743889776155157e+02 1.9368882245556668e+02 2.0492861238562389e+02 2.2411500893097741e+02 3.4318632951349082e+02 +1.1342352373837515e-03 1.4025102336386728e+05 3.9086992628052545e+05 8.1281688196126698e+05 1.3210426248561819e+06 1.7048634267864691e+06 1.7267792010451599e+06 1.4084551714588215e+06 1.0163514697832791e+06 7.0402331646232947e+05 4.7672065644630516e+05 3.1142201045929844e+05 1.9563578225069377e+05 1.1853623526857772e+05 6.9402649748314652e+04 3.9316872043240815e+04 2.1626037877982460e+04 1.1615678026618165e+04 6.1465788807788349e+03 3.2609778129112751e+03 1.7924751845330791e+03 1.0726597790090352e+03 7.3332706131207328e+02 5.7991859996415428e+02 5.1310357602761826e+02 4.8384224532822640e+02 4.7160773653655474e+02 4.6706812103254600e+02 4.6523976013065368e+02 4.6414656353932713e+02 4.6315807578610782e+02 4.6208023968770266e+02 4.6084343235306920e+02 4.5940985861460035e+02 4.5774782302013114e+02 4.5582501251487429e+02 4.5360689107373895e+02 4.5105661211464064e+02 4.4813542597130083e+02 4.4480350492536269e+02 4.4102101419089752e+02 4.3641096430210501e+02 4.3119360665959584e+02 4.2533385350585309e+02 4.1880820511598091e+02 4.1160867199932915e+02 4.0374651269429887e+02 3.9525530293188183e+02 3.8619272971712201e+02 3.7664093271579054e+02 3.6670242901558464e+02 3.5649560137479887e+02 3.4615468003781723e+02 3.3582386304198297e+02 3.2563223435597081e+02 3.1569634117070075e+02 3.0612380761939062e+02 2.9699798746227634e+02 2.8838436754694948e+02 2.8032582537535984e+02 2.7285432344266292e+02 2.6597866438407681e+02 2.5970437317500682e+02 2.5401771718017594e+02 2.4891066488787285e+02 2.4435893229566557e+02 2.4033730912704539e+02 2.3682405961361607e+02 2.3378882883589000e+02 2.3119548901454070e+02 2.2901690539198225e+02 2.2721353770063166e+02 2.2575132471396290e+02 2.2458883650744897e+02 2.2368570273629146e+02 2.2298586782198086e+02 2.2243507948956815e+02 2.2198873562512506e+02 2.2160628612284989e+02 2.2125099254931516e+02 2.2100141457124352e+02 2.2074998780603264e+02 2.2049369261191680e+02 2.2022534080987245e+02 2.1994853578108749e+02 2.1965569100361728e+02 2.1935471375949328e+02 2.1902157693832521e+02 2.1866504157703264e+02 2.1827854487861683e+02 2.1785696207252064e+02 2.1739406577124689e+02 2.1688284058208274e+02 2.1631359596089561e+02 2.1568563987029540e+02 2.1497786632640214e+02 2.1418431423534241e+02 2.1329346723688269e+02 2.1229293194766998e+02 2.1116992742333346e+02 2.0991163389178016e+02 2.0850424768927482e+02 2.0694791223574128e+02 2.0521788173320542e+02 2.0331903994625907e+02 2.0125577921424693e+02 1.9904428298177913e+02 1.9671208723419861e+02 1.9431160459001941e+02 1.9192117308467297e+02 1.8966691589069015e+02 1.8771169614115587e+02 1.8630609329918951e+02 1.8580084690785213e+02 1.8670456162212170e+02 1.8975846479929024e+02 1.9608573266375964e+02 2.0746461565323631e+02 2.2688844488711385e+02 3.4742843666265583e+02 +1.1412257993307757e-03 1.4011197106047257e+05 3.9049132998505374e+05 8.1213468684291153e+05 1.3204877682043563e+06 1.7058368715899996e+06 1.7308530745392612e+06 1.4154252953675929e+06 1.0246323196591319e+06 7.1230621711775137e+05 4.8423793735633796e+05 3.1771494956929010e+05 2.0054625511931971e+05 1.2214371418871767e+05 7.1913755036418923e+04 4.0979505162232563e+04 2.2677538589650459e+04 1.2253276115230472e+04 6.5181996993231724e+03 3.4697837760561342e+03 1.9062088283997095e+03 1.1334116614532286e+03 7.6591005213372773e+02 5.9825719755073635e+02 5.2456176910121565e+02 4.9196494557319852e+02 4.7820837099802975e+02 4.7309060775155695e+02 4.7106769649959222e+02 4.6990861821879429e+02 4.6889283389947826e+02 4.6779753502222377e+02 4.6654434180490784e+02 4.6509275534570651e+02 4.6341008542130209e+02 4.6146346350508668e+02 4.5921788740110242e+02 4.5663604518848871e+02 4.5367870553535244e+02 4.5030554748751086e+02 4.4647624339886340e+02 4.4180913841810457e+02 4.3652721036247925e+02 4.3059493784268602e+02 4.2398853104002490e+02 4.1669990243769405e+02 4.0874045086219763e+02 4.0014416858787530e+02 3.9096945757096597e+02 3.8129947498692337e+02 3.7123800749953239e+02 3.6090490361218133e+02 3.5043605512634832e+02 3.3997744464434129e+02 3.2965975352590965e+02 3.1960097098693217e+02 3.0991005257387252e+02 3.0067138311261209e+02 2.9195125945848355e+02 2.8379308950724197e+02 2.7622923120679138e+02 2.6926859634135332e+02 2.6291677854337451e+02 2.5715987564177328e+02 2.5198975676620222e+02 2.4738183692238553e+02 2.4331059228333265e+02 2.3975401503291442e+02 2.3668137017569123e+02 2.3405607733413174e+02 2.3185066019348810e+02 2.3002508442764767e+02 2.2854486423584908e+02 2.2736805634031276e+02 2.2645379243314494e+02 2.2574532656354992e+02 2.2518773932920206e+02 2.2473588075200936e+02 2.2434870234254711e+02 2.2398901348395248e+02 2.2373634735067193e+02 2.2348180930241642e+02 2.2322234247125240e+02 2.2295066978916685e+02 2.2267043925657509e+02 2.2237397049452187e+02 2.2206926855438272e+02 2.2173200910836528e+02 2.2137106156105423e+02 2.2097978189960315e+02 2.2055298193348315e+02 2.2008435721000268e+02 2.1956680551963626e+02 2.1899051641382394e+02 2.1835478920453858e+02 2.1763825683778450e+02 2.1683488439867691e+02 2.1593301300969804e+02 2.1492009591738562e+02 2.1378319401056982e+02 2.1250932887021574e+02 2.1108452602652758e+02 2.0950893059121580e+02 2.0775749064859960e+02 2.0583515035069414e+02 2.0374635639303091e+02 2.0150749249339466e+02 1.9914643539992389e+02 1.9671624634645673e+02 1.9429623283216546e+02 1.9201407875029454e+02 1.9003466280184389e+02 1.8861166537071571e+02 1.8810016648127896e+02 1.8901506483469021e+02 1.9210676062021534e+02 1.9851232958181274e+02 2.1003202835507975e+02 2.2969623097680673e+02 3.5172297272924982e+02 +1.1482594457762573e-03 1.3997293850155396e+05 3.9011266403953260e+05 8.1145076002576237e+05 1.3199223440326909e+06 1.7067757677350179e+06 1.7348624016980319e+06 1.4223229944390282e+06 1.0328610177531602e+06 7.2056995154789102e+05 4.9176933961092669e+05 3.2404826875268930e+05 2.0551248630224343e+05 1.2581147383325361e+05 7.4481336685088158e+04 4.2689852510154771e+04 2.3766179401381029e+04 1.2917863752081641e+04 6.9082731875455520e+03 3.6905160846482322e+03 2.0272544041379895e+03 1.1984296189464881e+03 8.0087291597817455e+02 6.1788100415822544e+02 5.3670577744269497e+02 5.0044310320997999e+02 4.8499319804871629e+02 4.7922426516254768e+02 4.7697991301097807e+02 4.7574578654385306e+02 4.7469969788462748e+02 4.7358591367304041e+02 4.7231589999101897e+02 4.7084601386217247e+02 4.6914243691856223e+02 4.6717170405164819e+02 4.6489833184065014e+02 4.6228453482291502e+02 4.5929059340984571e+02 4.5587568714512668e+02 4.5199898937922671e+02 4.4727412204357591e+02 4.4192682318628090e+02 4.3592113242935392e+02 4.2923296628597507e+02 4.2185413802824343e+02 4.1379618853755210e+02 4.0509353182797133e+02 3.9580529369970833e+02 3.8601566148089688e+02 3.7582970717015860e+02 3.6536876320370516e+02 3.5477040354119237e+02 3.4418241746562944e+02 3.3373710351624169e+02 3.2355391079128918e+02 3.1374314272862620e+02 3.0439022797683441e+02 2.9556228341688666e+02 2.8730325389498825e+02 2.7964589770206220e+02 2.7259923712224276e+02 2.6616893529586685e+02 2.6034091842138292e+02 2.5510695503653949e+02 2.5044215541154460e+02 2.4632067824517088e+02 2.4272024022632527e+02 2.3960972146636087e+02 2.3695208324654513e+02 2.3471950332340811e+02 2.3287144707438051e+02 2.3137299879041493e+02 2.3018169546476025e+02 2.2925616469768769e+02 2.2853896169609155e+02 2.2797449177117679e+02 2.2751705039535190e+02 2.2712508460583743e+02 2.2676094606223688e+02 2.2650515353561187e+02 2.2624746567374444e+02 2.2598478792498199e+02 2.2570975323259893e+02 2.2542605477014283e+02 2.2512591713909904e+02 2.2481744436949771e+02 2.2447601123840963e+02 2.2411059685818307e+02 2.2371447499443150e+02 2.2328239325155536e+02 2.2280796915685943e+02 2.2228401260888111e+02 2.2170059176944321e+02 2.2105699719156496e+02 2.2033159751994654e+02 2.1951828310340699e+02 2.1860525078184369e+02 2.1757979853213109e+02 2.1642882711736010e+02 2.1513919750688311e+02 2.1369676230908337e+02 2.1210166834733215e+02 2.1032855379871165e+02 2.0838242395009902e+02 2.0626778052613355e+02 2.0400120999802641e+02 2.0161093409745300e+02 1.9915067070739858e+02 1.9670070879764810e+02 1.9439031231111909e+02 1.9238640048243943e+02 1.9094579302226106e+02 1.9042796419510313e+02 1.9135418470243690e+02 1.9448414117514795e+02 2.0096898102913869e+02 2.1263123965567655e+02 2.3253879279957391e+02 3.5607058555092192e+02 +1.1553364422602229e-03 1.3983392594759932e+05 3.8973393483345467e+05 8.1076514018580469e+05 1.3193465070331625e+06 1.7076804752576253e+06 1.7388075618275746e+06 1.4291481277132479e+06 1.0410366740001923e+06 7.2881303671686607e+05 4.9931315075962106e+05 3.3042042489306821e+05 2.1053339402010280e+05 1.2953900788769219e+05 7.7105416211300500e+04 4.4448315706033572e+04 2.4892564607395369e+04 1.3610094203924082e+04 7.3173964985763305e+03 3.9236615370370068e+03 2.1559744932366898e+03 1.2679636598854147e+03 8.3837662131037087e+02 6.3888795134909503e+02 5.4959271882015332e+02 5.0930722882823954e+02 4.9197648716972037e+02 4.8547533863437673e+02 4.8297927224388576e+02 4.8165963333780832e+02 4.8057976931490197e+02 4.7944632126878025e+02 4.7815900174082748e+02 4.7667051174985261e+02 4.7494574774951627e+02 4.7295059955578103e+02 4.7064908523627281e+02 4.6800293690167331e+02 4.6497193987257600e+02 4.6151476779994437e+02 4.5759008880322028e+02 4.5280674304166087e+02 4.4739326302577865e+02 4.4131324396776091e+02 4.3454230509725966e+02 4.2707215927145432e+02 4.1891449121973676e+02 4.1010414195724661e+02 4.0070097013303922e+02 3.9079020602652218e+02 3.8047822293102388e+02 3.6988785562743277e+02 3.5915838109221721e+02 3.4843941767861412e+02 3.3786490114128082e+02 3.2755575853792624e+02 3.1762365788136566e+02 3.0815508455698114e+02 2.9921798561165753e+02 2.9085684948176362e+02 2.8310483974914433e+02 2.7597109056571816e+02 2.6946133544082994e+02 2.6356132682233635e+02 2.5826273140573380e+02 2.5354035093662370e+02 2.4936802266443109e+02 2.4572318429320825e+02 2.4257432616179469e+02 2.3988394539481419e+02 2.3762386939045791e+02 2.3575305691368413e+02 2.3423615694502217e+02 2.3303018029454176e+02 2.3209324426619332e+02 2.3136719665133523e+02 2.3079575921580584e+02 2.3033266611474264e+02 2.2993585374911561e+02 2.2956721044710562e+02 2.2930825281554368e+02 2.2904737613223438e+02 2.2878144769829231e+02 2.2850300935590400e+02 2.2821580001175258e+02 2.2791194807150529e+02 2.2759965776780294e+02 2.2725399925830223e+02 2.2688406272126278e+02 2.2648303868230420e+02 2.2604560974496093e+02 2.2556531445098969e+02 2.2503487371811372e+02 2.2444423281563760e+02 2.2379267342629305e+02 2.2305829662382246e+02 2.2223491709314933e+02 2.2131058560543954e+02 2.2027244294387970e+02 2.1910722776318926e+02 2.1780163843143023e+02 2.1634135249434516e+02 2.1472651850552535e+02 2.1293146089981121e+02 2.1096124685462470e+02 2.0882043380545358e+02 2.0652581348806817e+02 2.0410595689043751e+02 2.0161524667768589e+02 1.9913496544640063e+02 1.9679597675734999e+02 1.9476726565441132e+02 1.9330883005589348e+02 1.9278459289190857e+02 1.9372227578396735e+02 1.9689096682210948e+02 2.0345605937971447e+02 2.1526264353778313e+02 2.3541656122489368e+02 3.6047193096774254e+02 +1.1624570559592858e-03 1.3969493421627805e+05 3.8935514682238962e+05 8.1007787468132400e+05 1.3187603852030709e+06 1.7085513423253533e+06 1.7426889357049463e+06 1.4359005925632142e+06 1.0491584313642299e+06 7.3703401594068483e+05 5.0686766821102763e+05 3.3682986391062953e+05 2.1560786719518885e+05 1.3332577098676894e+05 7.9785976418326900e+04 4.6255265771322825e+04 2.6057279781696259e+04 1.4330613743803699e+04 7.7461688512300352e+03 4.1697144473805265e+03 2.2927413124289496e+03 1.3422731546913687e+03 8.7858991944991715e+02 6.6138179963335824e+02 5.6328378090469869e+02 5.1859037739764460e+02 4.9917386097835686e+02 4.9185070813195603e+02 4.8906891136178501e+02 4.8765183730768803e+02 4.8653419814411728e+02 4.8537972714937445e+02 4.8407455691067736e+02 4.8256713872516008e+02 4.8082089934717391e+02 4.7880102629356912e+02 4.7647101917349499e+02 4.7379211796486567e+02 4.7072360577893636e+02 4.6722364385130709e+02 4.6325038874781956e+02 4.5840783956856546e+02 4.5292735794425414e+02 4.4677208918853466e+02 4.3991735158619565e+02 4.3235475636413713e+02 4.2409613391623412e+02 4.1517675758366875e+02 4.0565722798516310e+02 3.9562383131047613e+02 3.8518425830503980e+02 3.7446286473724331e+02 3.6360065171878193e+02 3.5274908934043657e+02 3.4204377085693977e+02 3.3160711958768354e+02 3.2155218501004748e+02 3.1196652231896644e+02 3.0291891899415526e+02 2.9445441378159569e+02 2.8660658056471476e+02 2.7938466674602722e+02 2.7279447707671596e+02 2.6682158810502960e+02 2.6145756341934054e+02 2.5667689240289724e+02 2.5245308683277941e+02 2.4876330189180666e+02 2.4557563320508410e+02 2.4285210785134026e+02 2.4056419838258856e+02 2.3867035055675495e+02 2.3713477257282736e+02 2.3591394252299926e+02 2.3496546113441630e+02 2.3423046010421700e+02 2.3365196929319256e+02 2.3318315468961111e+02 2.3278143582022039e+02 2.3240823200405953e+02 2.3214607007655385e+02 2.3188196508067674e+02 2.3161274570144036e+02 2.3133086155359763e+02 2.3104009784375256e+02 2.3073248559119418e+02 2.3041633046961675e+02 2.3006639424801369e+02 2.2969187954487245e+02 2.2928589261454749e+02 2.2884305025497162e+02 2.2835681104356138e+02 2.2781980581559964e+02 2.2722185542563764e+02 2.2656223257512184e+02 2.2581876745501509e+02 2.2498519814828009e+02 2.2404942754771972e+02 2.2299843729652156e+02 2.2181880193279531e+02 2.2049705520955510e+02 2.1901869744222364e+02 2.1738387893379377e+02 2.1556660649376639e+02 2.1357200995549940e+02 2.1140470315534256e+02 2.0908168563627879e+02 2.0663188196764588e+02 2.0411034783102636e+02 2.0159937175641534e+02 1.9923143673299859e+02 1.9717761920290670e+02 1.9570113465449197e+02 1.9517040978312988e+02 1.9611969702822083e+02 1.9932760238175567e+02 2.0597394161824283e+02 2.1792663886252757e+02 2.3832997245707983e+02 3.6492767292093515e+02 +1.1696215556967326e-03 1.3955596252947368e+05 3.8897629579803644e+05 8.0938896781552059e+05 1.3181641183592204e+06 1.7093887213169739e+06 1.7465069135412772e+06 1.4425803061014356e+06 1.0572254609138295e+06 7.4523145630543528e+05 5.1443119995723810e+05 3.4327502193915681e+05 2.2073476666292906e+05 1.3717117940647239e+05 8.2522961353799823e+04 4.8111042492034365e+04 2.7260890795785763e+04 1.5080060624679436e+04 8.1951906893820251e+03 4.4291761034358160e+03 2.4379364724865409e+03 1.4216268271287313e+03 9.2168947463551774e+02 6.8547232529008534e+02 5.7784441225023352e+02 5.2832830626094972e+02 5.0660240070890501e+02 4.9835794790253948e+02 4.9525227202945666e+02 4.9372420464348988e+02 4.9256418841960033e+02 4.9138712663661488e+02 4.9006349128936381e+02 4.8853679703688840e+02 4.8676878455715297e+02 4.8472387157853132e+02 4.8236501612211123e+02 4.7965295534674135e+02 4.7654646269884734e+02 4.7300318032757127e+02 4.6898074682647496e+02 4.6407826020289525e+02 4.5852994629976166e+02 4.5229849497374369e+02 4.4535891985777198e+02 4.3770272932127887e+02 4.2934190125902285e+02 4.2031214673564983e+02 4.1067481757045078e+02 4.0051726898755146e+02 3.8994852554290230e+02 3.7909448286795822e+02 3.6809788759099973e+02 3.5711208449009001e+02 3.4627434485664611e+02 3.3570860680089334e+02 3.2552931836203828e+02 3.1582511778105447e+02 3.0666564336192999e+02 2.9809649096386994e+02 2.9015164984238265e+02 2.8284048205144779e+02 2.7616886446540195e+02 2.7012219555939555e+02 2.6469193453201149e+02 2.5985225451933371e+02 2.5557633775051949e+02 2.5184105330730003e+02 2.4861409709649254e+02 2.4585702018506973e+02 2.4354093573586911e+02 2.4162377002071682e+02 2.4006928491873413e+02 2.3883341918817121e+02 2.3787325062176771e+02 2.3712918603696625e+02 2.3654355492793215e+02 2.3606894818361221e+02 2.3566226214153127e+02 2.3528444136560665e+02 2.3501903546566157e+02 2.3475166217668604e+02 2.3447911109351543e+02 2.3419373846232577e+02 2.3389937636381654e+02 2.3358795722582855e+02 2.3326788941705311e+02 2.3291362250139574e+02 2.3253447292875185e+02 2.3212346163862873e+02 2.3167513880833167e+02 2.3118288206052986e+02 2.3063923103201338e+02 2.3003388062290321e+02 2.2936609443904712e+02 2.2861342843682962e+02 2.2776954314738319e+02 2.2682219175349087e+02 2.2575819478740596e+02 2.2456396063794918e+02 2.2322585640385745e+02 2.2172920297583525e+02 2.2007415242579162e+02 2.1823439000719014e+02 2.1621510898378131e+02 2.1402098029095075e+02 2.1166921385310687e+02 2.0918909220085848e+02 2.0663635236673807e+02 2.0409430127486601e+02 2.0169706139762059e+02 1.9961782648150427e+02 1.9812306943566065e+02 1.9758577650324872e+02 1.9854681182859264e+02 2.0179441719100234e+02 2.0852300939720666e+02 2.2062362942980403e+02 2.4127946810138266e+02 3.6943848355312286e+02 +1.1768302119526716e-03 1.3941701400196395e+05 3.8859739432095812e+05 8.0869846264421160e+05 1.3175578543924494e+06 1.7101929658210753e+06 1.7502618757210770e+06 1.4491871936182107e+06 1.0652369666082719e+06 7.5340395425488881e+05 5.2200206712258561e+05 3.4975432665411744e+05 2.2591292637821531e+05 1.4107461178659444e+05 8.5316276325506173e+04 5.0015953835936969e+04 2.8503942867201105e+04 1.5859064057138123e+04 8.6650628238182962e+03 4.7025541951108453e+03 2.5919507067137406e+03 1.5063027214815020e+03 9.6785997919175281e+02 7.1127550108439141e+02 5.9334451379972802e+02 5.3855963749011573e+02 5.1428075687729461e+02 5.0500539029897516e+02 5.0153313297799957e+02 4.9987868407001480e+02 4.9867100470409378e+02 4.9746954362971189e+02 4.9612674763211379e+02 4.9458040191130783e+02 4.9279030788176499e+02 4.9072003393321978e+02 4.8833196958542322e+02 4.8558633731321657e+02 4.8244139305209825e+02 4.7885425302194989e+02 4.7478203132074981e+02 4.6981886407863357e+02 4.6420187687526436e+02 4.5789329848399103e+02 4.5086783413667229e+02 4.4311688809807919e+02 4.3465258762828967e+02 4.2551108697820700e+02 4.1575449851766314e+02 4.0547125979133335e+02 3.9477174573059864e+02 3.8378341093990906e+02 3.7265076921243804e+02 3.6152906324849789e+02 3.5055726316684343e+02 3.3986084062813671e+02 3.2955565954383610e+02 3.1973145459856187e+02 3.1045872544233168e+02 3.0178363193288300e+02 2.9374058383187969e+02 2.8633905926054859e+02 2.7958500811059139e+02 2.7346364858040266e+02 2.6796633418204016e+02 2.6306691786944970e+02 2.5873824819809244e+02 2.5495690452231199e+02 2.5169017796168296e+02 2.4889913753052721e+02 2.4655453239905174e+02 2.4461376279433122e+02 2.4304013866602324e+02 2.4178905273928919e+02 2.4081705343741953e+02 2.4006381380500258e+02 2.3947095440494613e+02 2.3899048400974033e+02 2.3857876937578709e+02 2.3819627449596382e+02 2.3792758445525178e+02 2.3765690239778306e+02 2.3738097834690021e+02 2.3709207402570104e+02 2.3679406897041699e+02 2.3647879579643339e+02 2.3615476683809933e+02 2.3579611559002612e+02 2.3541227374188949e+02 2.3499617586213984e+02 2.3454230468184210e+02 2.3404395586654559e+02 2.3349357672504394e+02 2.3288073464293231e+02 2.3220468401620559e+02 2.3144270317288655e+02 2.3058837413065677e+02 2.2962929850756666e+02 2.2855213372980123e+02 2.2734311997881395e+02 2.2598845563536781e+02 2.2447327994308523e+02 2.2279774676300127e+02 2.2093521581219443e+02 2.1889094456956491e+02 2.1666966177737584e+02 2.1428879034641315e+02 2.1177797520163696e+02 2.0919364316669970e+02 2.0662013217299000e+02 2.0419322448052267e+02 2.0208825736715187e+02 2.0057500150686909e+02 2.0003105916413500e+02 2.0100398807768568e+02 2.0429178516007619e+02 2.1110364909415532e+02 2.2335402403865641e+02 2.4426549523110165e+02 3.7400504330913412e+02 +1.1840832968742446e-03 1.3927808403201721e+05 3.8821843949934922e+05 8.0800638521432038e+05 1.3169417111572011e+06 1.7109644393716012e+06 1.7539542263103023e+06 1.4557212208281441e+06 1.0731921722072861e+06 7.6155013213473035e+05 5.2957860379311931e+05 3.5626619857620110e+05 2.3114115465112161e+05 1.4503540989102449e+05 8.8165787988619690e+04 5.1970275423315208e+04 2.9786959640884972e+04 1.6668243193622537e+04 9.1563855585854617e+03 4.9903622150764986e+03 2.7551835691901306e+03 1.5965881448834857e+03 1.0172942527772661e+03 7.3891366990036749e+02 6.0985863019169096e+02 5.4932602425846972e+02 5.2222926509104400e+02 5.1180219385440120e+02 5.0791564536751457e+02 5.0611738347422857e+02 5.0485597927992990e+02 5.0362803354372858e+02 5.0226528684101203e+02 5.0069888205842068e+02 4.9888638573942399e+02 4.9679042326605696e+02 4.9437278424845397e+02 4.9159316320578245e+02 4.8840929024498462e+02 4.8477774862646919e+02 4.8065512131633437e+02 4.7563052101617166e+02 4.6994400901031491e+02 4.6355734729108138e+02 4.5644492889160074e+02 4.4859805271379088e+02 4.4002899727195694e+02 4.3077436553309934e+02 4.2089703988671880e+02 4.1048655364959723e+02 3.9965464890074082e+02 3.8853035856698398e+02 3.7725998552341980e+02 3.6600069391775128e+02 3.5489317374493487e+02 3.4406444920743780e+02 3.3363181761327263e+02 3.2368612365541202e+02 3.1429873897938540e+02 3.0551639441285511e+02 2.9737392541989544e+02 2.8988092762292990e+02 2.8304342483321420e+02 2.7684645274363498e+02 2.7128125786446344e+02 2.6632136898466183e+02 2.6193929680721715e+02 2.5811132728633748e+02 2.5480434162126474e+02 2.5197892065552375e+02 2.4960544490385908e+02 2.4764078190608564e+02 2.4604778400187587e+02 2.4478129110285559e+02 2.4379731574634917e+02 2.4303478820335789e+02 2.4243461143565622e+02 2.4194820499645871e+02 2.4153139959225015e+02 2.4114417275641208e+02 2.4087215790980693e+02 2.4059812610645389e+02 2.4031878731302842e+02 2.4002630755988653e+02 2.3972461442748528e+02 2.3940543948311506e+02 2.3907740031218671e+02 2.3871431042868014e+02 2.3832571818812050e+02 2.3790447071771396e+02 2.3744498246727412e+02 2.3694046613003627e+02 2.3638327554301790e+02 2.3576284899893096e+02 2.3507843156658555e+02 2.3430702051162669e+02 2.3344211836311325e+02 2.3247117329804371e+02 2.3138067761587823e+02 2.3015670120750207e+02 2.2878527164590406e+02 2.2725134427850804e+02 2.2555507477500390e+02 2.2366949328757462e+02 2.2159992230403969e+02 2.1935114908944243e+02 2.1694081217889212e+02 2.1439892338091821e+02 2.1178260785320180e+02 2.0917724730455063e+02 2.0672030433862489e+02 2.0458928631631423e+02 2.0305730252061747e+02 2.0250662841006519e+02 2.0349159822274393e+02 2.0682008482834186e+02 2.1371625187055025e+02 2.2611823655001703e+02 2.4728850645427406e+02 3.7862804103891096e+02 +1.1913810842859010e-03 1.3913917468515475e+05 3.8783943466281518e+05 8.0731275681678369e+05 1.3163158428269057e+06 1.7117034783206163e+06 1.7575843839022559e+06 1.4621823536961887e+06 1.0810903342151234e+06 7.6966863974539703e+05 5.3715915675447602e+05 3.6280905239610415e+05 2.3641823539565044e+05 1.4905287941397179e+05 9.1071324506605728e+04 5.3974250049527509e+04 3.1110442304257700e+04 1.7508206121413783e+04 9.6697578040997214e+03 5.2931188326529846e+03 2.9280431030035334e+03 1.6927795842143371e+03 1.0701933247155810e+03 7.6851571028585033e+02 6.2746614009602365e+02 5.6067232081418422e+02 5.3047006693391188e+02 5.1875841572311560e+02 5.1440437109572429e+02 5.1244258822514041e+02 5.1112052021077693e+02 5.0986368664794651e+02 5.0848008931123047e+02 5.0689318024408954e+02 5.0505794675442598e+02 5.0293596106109158e+02 5.0048837613491605e+02 4.9767434358256975e+02 4.9445105881132139e+02 4.9077456487012540e+02 4.8660090683752298e+02 4.8151411165732753e+02 4.7575721273269301e+02 4.6929149950482713e+02 4.6209104896618817e+02 4.5414705338211263e+02 4.4547194443033254e+02 4.3610277940074155e+02 4.2610322028551502e+02 4.1556390979805388e+02 4.0459797414359082e+02 3.9333604416425010e+02 3.8192623400749073e+02 3.7052765308362268e+02 3.5928273257661584e+02 3.4832006845739255e+02 3.3775840917161867e+02 3.2768972315113263e+02 3.1818626482043430e+02 3.0929534303233658e+02 3.0105222421288590e+02 2.9346662293774204e+02 2.8654463785060682e+02 2.8027111988133248e+02 2.7463720720676514e+02 2.6961610041728579e+02 2.6517996813310754e+02 2.6130479918741304e+02 2.5795705966166753e+02 2.5509683603123099e+02 2.5269413543298279e+02 2.5070528599222229e+02 2.4909267668796858e+02 2.4781058775060751e+02 2.4681448923754036e+02 2.4604255953349588e+02 2.4543497522453819e+02 2.4494255945455021e+02 2.4452060033289703e+02 2.4412858297310657e+02 2.4385320215132066e+02 2.4357577911762885e+02 2.4329298328901515e+02 2.4299688382015509e+02 2.4269145693086276e+02 2.4236833189071325e+02 2.4203623283629872e+02 2.4166864934166679e+02 2.4127524787155497e+02 2.4084878702900741e+02 2.4038361213660642e+02 2.3987285188787484e+02 2.3930876549072761e+02 2.3868066054567930e+02 2.3798777267774065e+02 2.3720681461062912e+02 2.3633120839986972e+02 2.3534824688103316e+02 2.3424425518099702e+02 2.3300513079146884e+02 2.3161672836183322e+02 2.3006381706579873e+02 2.2834655440249958e+02 2.2643763687996105e+02 2.2434245279930693e+02 2.2206584867239670e+02 2.1962568133002938e+02 2.1705233400792039e+02 2.1440363884741677e+02 2.1176603426329601e+02 2.0927868401293333e+02 2.0712129242149362e+02 2.0557034873042230e+02 2.0501285947486556e+02 2.0601001932213302e+02 2.0937969942181499e+02 2.1636121373052507e+02 2.2891668594784088e+02 2.5034895998219554e+02 3.8330817410114923e+02 +1.1987238496997353e-03 1.3900028707446600e+05 3.8746038685954711e+05 8.0661761317164265e+05 1.3156803526279929e+06 1.7124104347285926e+06 1.7611527452451380e+06 1.4685705727208201e+06 1.0889307415045572e+06 7.7775815337785950e+05 5.4474208767206711e+05 3.6938129848021356e+05 2.4174292935160105e+05 1.5312629082205464e+05 9.4032675772230825e+04 5.6028087258746811e+04 3.2474868737878111e+04 1.8379548867263828e+04 1.0205776179070437e+04 5.6113472423082103e+03 3.1109454787764798e+03 1.7951825970233936e+03 1.1267664984688197e+03 8.0021719291329805e+02 6.4625144479777339e+02 5.7264675561422064e+02 5.3902723582241390e+02 5.2588508857368379e+02 5.2100432419692311e+02 5.1885678130615213e+02 5.1746612034633677e+02 5.1617763184417959e+02 5.1477215646992386e+02 5.1316425393694328e+02 5.1130593207427455e+02 5.0915758057976359e+02 5.0667967276942881e+02 5.0383080036933171e+02 5.0056761455572820e+02 4.9684561065875812e+02 4.9262028898703761e+02 4.8747052760280650e+02 4.8164236889309041e+02 4.7509662390870943e+02 4.6780704970871562e+02 4.5976473063319293e+02 4.5098225346286176e+02 4.4149713548067905e+02 4.3137382799131024e+02 4.2070409689566128e+02 4.0960246972070394e+02 3.9820119505836766e+02 3.8665022079565733e+02 3.7511062571943683e+02 3.6372660377757563e+02 3.5262834217479792e+02 3.4193605845615355e+02 3.3174285869334358e+02 3.2212189100402333e+02 3.1312104940891385e+02 3.0477603662081953e+02 2.9709668763579924e+02 2.9008917685544276e+02 2.8373816815950607e+02 2.7803469004344771e+02 2.7295161081547803e+02 2.6846075272686682e+02 2.6453780372495675e+02 2.6114880950583387e+02 2.5825335590260352e+02 2.5582107188960572e+02 2.5380773936669539e+02 2.5217527812644451e+02 2.5087740176811411e+02 2.4986903119149895e+02 2.4908758367209117e+02 2.4847250053679213e+02 2.4797400124551538e+02 2.4754682468045411e+02 2.4714995750364093e+02 2.4687116902726686e+02 2.4659031276494019e+02 2.4630401708452371e+02 2.4600425306756509e+02 2.4569504617635823e+02 2.4536792211554632e+02 2.4503171289180020e+02 2.4465958012877167e+02 2.4426130986283036e+02 2.4382957107658109e+02 2.4335863910890632e+02 2.4284155761303293e+02 2.4227048999553278e+02 2.4163461154718678e+02 2.4093314832897050e+02 2.4014252500213004e+02 2.3925608215097071e+02 2.3826095534477722e+02 2.3714330046807601e+02 2.3588884047741584e+02 2.3448325495725442e+02 2.3291112460201248e+02 2.3117260876036084e+02 2.2924006616740022e+02 2.2711895175039152e+02 2.2481417200314522e+02 2.2234380475503437e+02 2.1973860926981629e+02 2.1705713342869603e+02 2.1438688544114711e+02 2.1186875128638104e+02 2.0968465946791352e+02 2.0811452104830693e+02 2.0755013223667535e+02 2.0855963310241742e+02 2.1197101691075218e+02 2.1903893558086014e+02 2.3174979640357719e+02 2.5344731969927193e+02 3.8804614846830668e+02 +1.2061118703258890e-03 1.3886142113322997e+05 3.8708129540062550e+05 8.0592097627317288e+05 1.3150354028431671e+06 1.7130856551929766e+06 1.7646597298386062e+06 1.4748858999959948e+06 1.0967127097669079e+06 7.8581737708924792e+05 5.5232577525549533e+05 3.7598134412818140e+05 2.4711397533898108e+05 1.5725488022565638e+05 9.7049593670116650e+04 5.8131962970366709e+04 3.3880692703585009e+04 1.9282854416004677e+04 1.0765034103855542e+04 5.9455744883446860e+03 3.3043146039214862e+03 1.9041116760938619e+03 1.1872313973385731e+03 8.3416052695138103e+02 6.6630415418393000e+02 5.8530110713844147e+02 5.4792690769180354e+02 5.3319430200772740e+02 5.2772101547386410e+02 5.2536266539110920e+02 5.2389436734901915e+02 5.2257104092660450e+02 5.2114251252504096e+02 5.1951307604701219e+02 5.1763129572232299e+02 5.1545622707615541e+02 5.1294761334249006e+02 5.1006346700773895e+02 5.0675988469472105e+02 5.0299180621853469e+02 4.9871418008400133e+02 4.9350067154851774e+02 4.8760036930320643e+02 4.8097360009204812e+02 4.7359379710359440e+02 4.6545193544770581e+02 4.5656075897174514e+02 4.4695825069696224e+02 4.3670966106957860e+02 4.2590789314499341e+02 4.1466889317893094e+02 4.0312654759797857e+02 3.9143266077636036e+02 3.7975030528872213e+02 3.6822545969238769e+02 3.5698992213298590e+02 3.4616539743660888e+02 3.3584614338882602e+02 3.2610621284884024e+02 3.1699409223641447e+02 3.0854592593983079e+02 3.0077167086138536e+02 2.9367757809543446e+02 2.8724812215695550e+02 2.8147422049456821e+02 2.7632840499777785e+02 2.7178214721160793e+02 2.6781083038100815e+02 2.6438007448551218e+02 2.6144895835897063e+02 2.5898672796902173e+02 2.5694861209008849e+02 2.5529605543224258e+02 2.5398219792369343e+02 2.5296140454954167e+02 2.5217032213830515e+02 2.5154764776845536e+02 2.5104298984849808e+02 2.5061053132617170e+02 2.5020875430554244e+02 2.4992651597976618e+02 2.4964218396960476e+02 2.4935234509050736e+02 2.4904887113746520e+02 2.4873583742603859e+02 2.4840466481393796e+02 2.4806429451136492e+02 2.4768755613385932e+02 2.4728435676829886e+02 2.4684727466619535e+02 2.4637051431714121e+02 2.4584703328025478e+02 2.4526889797425386e+02 2.4462514974148155e+02 2.4391500495866393e+02 2.4311459666023740e+02 2.4221718294775863e+02 2.4120974017691799e+02 2.4007825289362896e+02 2.3880826735750597e+02 2.3738528591961258e+02 2.3579369846145195e+02 2.3403366620154685e+02 2.3207720592159285e+02 2.2992983999940941e+02 2.2759653565274294e+02 2.2509559444750354e+02 2.2245815633273256e+02 2.1974349379463541e+02 2.1704019808782590e+02 2.1449089874292022e+02 2.1227977599233898e+02 2.1069020510119680e+02 2.1011883127720111e+02 2.1114082601556939e+02 2.1459443006835781e+02 2.2174982329089468e+02 2.3461799733972254e+02 2.5658405523241879e+02 3.9284267883292506e+02 +1.2135454250830153e-03 1.3872257284275698e+05 3.8670216793730092e+05 8.0522287129374954e+05 1.3143811080259464e+06 1.7137294620104977e+06 1.7681057561068316e+06 1.4811283615529884e+06 1.1044355870006990e+06 7.9384504570802557e+05 5.5990861353454564e+05 3.8260759474849765e+05 2.5253009161046584e+05 1.6143785028913690e+05 1.0012179237301450e+05 6.0286019158880357e+04 3.5328343072479845e+04 2.0218691745507891e+04 1.1348120887292480e+04 6.2963307672318888e+03 3.5085817031775837e+03 2.0198900872813379e+03 1.2518139905460707e+03 8.7049509535749462e+02 6.8771926928265839e+02 5.9869088183074587e+02 5.5719741634425998e+02 5.4069928856261288e+02 5.3456050049445435e+02 5.3196318699175799e+02 5.3040695483903096e+02 5.2904513339043865e+02 5.2759220645471009e+02 5.2594063575736425e+02 5.2403500498959659e+02 5.2183285802599823e+02 5.1929314888660940e+02 5.1637328861055789e+02 5.1302880800777837e+02 5.0921408323721545e+02 5.0488350380707988e+02 4.9960545742670945e+02 4.9363211687039740e+02 4.8692331858682400e+02 4.7945216790485040e+02 4.7120952938711002e+02 4.6220830593304402e+02 4.5248695212405244e+02 4.4211152749880154e+02 4.3117608640906622e+02 4.1979801146717216e+02 4.0811284726709107e+02 3.9627427770203394e+02 3.8444739385244810e+02 3.7277998099863373e+02 3.6140546817946210e+02 3.5044706591051181e+02 3.4000019793718519e+02 3.3013983304526329e+02 3.2091505737267272e+02 3.1236246243861791e+02 3.0449212855511018e+02 2.9731038445526423e+02 2.9080151294466856e+02 2.8495631904148343e+02 2.7974699403004450e+02 2.7514465435583935e+02 2.7112437469634091e+02 2.6765134391438983e+02 2.6468412740754991e+02 2.6219158322908521e+02 2.6012838004249284e+02 2.5845548150140951e+02 2.5712544673930734e+02 2.5609207798362308e+02 2.5529124216590310e+02 2.5466088301389581e+02 2.5414999043146415e+02 2.5371218464048277e+02 2.5330543700560301e+02 2.5301970611246287e+02 2.5273185530912025e+02 2.5243842934751828e+02 2.5213119950792105e+02 2.5181429157793011e+02 2.5147902027048346e+02 2.5113443734908580e+02 2.5075303631246189e+02 2.5034484679618467e+02 2.4990235519685996e+02 2.4941969427699854e+02 2.4888973443501393e+02 2.4830444390092765e+02 2.4765272841019856e+02 2.4693379453275378e+02 2.4612348006696485e+02 2.4521495960934683e+02 2.4419504832987403e+02 2.4304955731339834e+02 2.4176385393434282e+02 2.4032326111511961e+02 2.3871197556088200e+02 2.3693016038163333e+02 2.3494948617290237e+02 2.3277554359754896e+02 2.3041336134912473e+02 2.2788146750122775e+02 2.2521138740331278e+02 2.2246312712145141e+02 2.1972637437078106e+02 2.1714552382584256e+02 2.1490703534121718e+02 2.1329779129027443e+02 2.1271934593912030e+02 2.1375398929751569e+02 2.1725033652999502e+02 2.2449428775506865e+02 2.3752172349449714e+02 2.5975964202217114e+02 3.9769848871543383e+02 +1.2210247946088102e-03 1.3858374741727504e+05 3.8632300321922218e+05 8.0452332910254865e+05 1.3137175724185086e+06 1.7143422219286454e+06 1.7714912379908459e+06 1.4872980030483284e+06 1.1120987455609057e+06 8.0183991920958960e+05 5.6748901300346712e+05 3.8925845483011397e+05 2.5798997716094923e+05 1.6567437118296186e+05 1.0324894868172692e+05 6.2490363587779670e+04 3.6818223094743727e+04 2.1187614880790727e+04 1.1955620809564412e+04 6.6641487092834086e+03 3.7241848711125276e+03 2.1428496804317870e+03 1.3207485989046377e+03 9.0937737810929195e+02 7.1059736047616411e+02 6.1287549361609399e+02 5.6686943323603350e+02 5.4841451432644226e+02 5.4152943108864667e+02 5.3866156280522887e+02 5.3700569474696385e+02 5.3560118183547183e+02 5.3412231427162351e+02 5.3244793947974722e+02 5.3051804087595110e+02 5.2828844338059241e+02 5.2571724245735925e+02 5.2276122211864754e+02 5.1937533498423284e+02 5.1551338501087753e+02 5.1112919533798032e+02 5.0578581054719842e+02 4.9973852574039955e+02 4.9294668100531129e+02 4.8538304977319780e+02 4.7703838472445881e+02 4.6792574982698812e+02 4.5808407711285616e+02 4.4758024529286087e+02 4.3650947433358846e+02 4.2499060105164295e+02 4.1316084879844232e+02 4.0117580430234028e+02 3.8920260217488777e+02 3.7739085680975506e+02 3.6587564833742493e+02 3.5478171159958089e+02 3.4420565072337126e+02 3.3422336174438050e+02 3.2488453792745366e+02 3.1622622344481630e+02 3.0825862353823720e+02 3.0098814553767380e+02 2.9439887816483724e+02 2.8848151260692418e+02 2.8320789530284111e+02 2.7854878314952003e+02 2.7447893834351851e+02 2.7096311316142334e+02 2.6795935304564631e+02 2.6543612316372361e+02 2.6334752499262777e+02 2.6165403508420673e+02 2.6030762456069920e+02 2.5926152596733397e+02 2.5845081677038684e+02 2.5781267813734155e+02 2.5729547391981146e+02 2.5685225474115566e+02 2.5644047496986548e+02 2.5615120826248415e+02 2.5585979508704634e+02 2.5556273761542880e+02 2.5525170536998561e+02 2.5493087523590160e+02 2.5459145446744705e+02 2.5424260674869393e+02 2.5385648530180356e+02 2.5344324382697465e+02 2.5299527572930162e+02 2.5250664115421938e+02 2.5197012226158245e+02 2.5137758787545729e+02 2.5071780644537398e+02 2.4998997461091207e+02 2.4916963128079425e+02 2.4824986651106065e+02 2.4721733228912180e+02 2.4605766409018594e+02 2.4475604818823311e+02 2.4329762585450987e+02 2.4166639822574965e+02 2.3986253032433115e+02 2.3785734227511986e+02 2.3565649386997470e+02 2.3326507604054842e+02 2.3070184617277181e+02 2.2799871979074481e+02 2.2521644562626625e+02 2.2244582143550846e+02 2.1983302889860977e+02 2.1756683573029855e+02 2.1593767484902094e+02 2.1535207038362736e+02 2.1639951902749755e+02 2.1993913885334629e+02 2.2727274495362499e+02 2.4046141498783689e+02 2.6297456139464242e+02 4.0261431057294055e+02 +1.2285502612706060e-03 1.3844494367866838e+05 3.8594380405636498e+05 8.0382237050492142e+05 1.3130449618311566e+06 1.7149242687030183e+06 1.7748166105384715e+06 1.4933948753507042e+06 1.1197015819539812e+06 8.0980078707521432e+05 5.7506540326995112e+05 3.9593232904677140e+05 2.6349231290252809e+05 1.6996358156707595e+05 1.0643070242090264e+05 6.4745069597152949e+04 3.8350709712233562e+04 2.2190161969087007e+04 1.2588112203284882e+04 7.0495626413653263e+03 3.9515685973234863e+03 2.2733306732439505e+03 1.3942778793439595e+03 9.5097106240730182e+02 7.3504474047483723e+02 6.2791844435876612e+02 5.7697611146518523e+02 5.5635577417799971e+02 5.4863511046178564e+02 5.4546130839530429e+02 5.4369253098185720e+02 5.4224051802843712e+02 5.4073394158893882e+02 5.3903601193146915e+02 5.3708139857952426e+02 5.3482396583125831e+02 5.3222086932453931e+02 5.2922823646755091e+02 5.2580042797729470e+02 5.2189066659246464e+02 5.1745220150722480e+02 5.1204266774084681e+02 5.0592052143845649e+02 4.9904460017992562e+02 4.9138734141143101e+02 4.8293938458252757e+02 4.7371395676837631e+02 4.6375047342012135e+02 4.5311664262705762e+02 4.4190886446936270e+02 4.3024744803802110e+02 4.1827131628855193e+02 4.0613798239456634e+02 3.9401664983250430e+02 3.8205878477999141e+02 3.7040113890732368e+02 3.5916999024922688e+02 3.4846313791521624e+02 3.3835741665274156e+02 3.2890313435335128e+02 3.2013779343122894e+02 3.1207172559800335e+02 3.0471141774732229e+02 2.9804076211390321e+02 2.9205033463401571e+02 2.8671163260919400e+02 2.8199504888142405e+02 2.7787502920382417e+02 2.7431588372678522e+02 2.7127513133463475e+02 2.6872083927472272e+02 2.6660653467359316e+02 2.6489220085575653e+02 2.6352921363032397e+02 2.6247022884728221e+02 2.6164952482465907e+02 2.6100351084427541e+02 2.6047991706909437e+02 2.6003121756596056e+02 2.5961434337421576e+02 2.5932149706989225e+02 2.5902647740388312e+02 2.5872574344431638e+02 2.5841086169709484e+02 2.5808606077881183e+02 2.5774243915500705e+02 2.5738927381415425e+02 2.5699837349025881e+02 2.5658001748384942e+02 2.5612650505589278e+02 2.5563182283647998e+02 2.5508866365309291e+02 2.5448879569297878e+02 2.5382084841980250e+02 2.5308400841709567e+02 2.5225351200584089e+02 2.5132236365261866e+02 2.5027705014065791e+02 2.4910302916175559e+02 2.4778530364523320e+02 2.4630883096131893e+02 2.4465741425673622e+02 2.4283122048768286e+02 2.4080121497054697e+02 2.3857312748124139e+02 2.3615211196010247e+02 2.3355715794610043e+02 2.3082057596977651e+02 2.2800386662821882e+02 2.2519895146770247e+02 2.2255382130534375e+02 2.2025958030406090e+02 2.1861025590385049e+02 2.1801740365223020e+02 2.1907781618725906e+02 2.2266124457888645e+02 2.3008561601632888e+02 2.4343751738747844e+02 2.6622930063362406e+02 4.0759088590967770e+02 +1.2361221091760325e-03 1.3830615835049935e+05 3.8556457671895850e+05 8.0312002265973785e+05 1.3123633877506037e+06 1.7154759319653832e+06 1.7780822962435142e+06 1.4994190656450309e+06 1.1272435240549308e+06 8.1772646629300935e+05 5.8263623335939227e+05 4.0262762354837579e+05 2.6903576290267863e+05 1.7430458959367804e+05 1.0966665689456198e+05 6.7050175945877781e+04 3.9926152914152291e+04 2.3226854378266456e+04 1.3246166535111113e+04 7.4531078324204254e+03 4.1911832652782359e+03 2.4116814080450431e+03 1.4726527876331088e+03 9.9544713891708273e+02 7.6117363114595094e+02 6.4388750461615962e+02 5.8755323366106666e+02 5.6454029163400094e+02 5.5588555203927149e+02 5.5236626933697005e+02 5.5046955450439839e+02 5.4896453968922958e+02 5.4742822652233258e+02 5.4570589736926252e+02 5.4372608805306311e+02 5.4144042111232181e+02 5.3880501717581240e+02 5.3577531275072238e+02 5.3230506135863084e+02 5.2834689494287886e+02 5.2385348093986795e+02 5.1837697750623181e+02 5.1217904101171746e+02 5.0521800030384384e+02 4.9746595270501422e+02 4.8891342306692292e+02 4.7957380364055064e+02 4.6948699933999109e+02 4.5872155796664111e+02 4.4737507439533488e+02 4.3556934829013215e+02 4.2344502331622982e+02 4.1116156299649003e+02 3.9889026532447707e+02 3.8678447121045258e+02 3.7498262456920042e+02 3.6361256572737585e+02 3.5277330355832322e+02 3.4254262312480205e+02 3.3297145453636074e+02 3.2409776410638750e+02 3.1593201157322659e+02 3.0848076437435680e+02 3.0172771582260060e+02 2.9566332516707456e+02 2.9025873622309410e+02 2.8548397321728004e+02 2.8131316144336324e+02 2.7771016331605574e+02 2.7463196447549473e+02 2.7204622914815798e+02 2.6990590285441431e+02 2.6817046949111483e+02 2.6679070215836902e+02 2.6571867291528946e+02 2.6488785112756256e+02 2.6423386475265204e+02 2.6370380253524706e+02 2.6324955494347483e+02 2.6282752327630362e+02 2.6253105305017215e+02 2.6223238222854150e+02 2.6192792624578999e+02 2.6160914731758277e+02 2.6128032643345836e+02 2.6093245192316721e+02 2.6057491548063496e+02 2.6017917708878826e+02 2.5975564320223816e+02 2.5929651777214866e+02 2.5879571300260596e+02 2.5824583128174805e+02 2.5763853891426601e+02 2.5696232465664440e+02 2.5621636490922464e+02 2.5537558966092024e+02 2.5443291672676125e+02 2.5337466564131481e+02 2.5218611410872751e+02 2.5085207944431255e+02 2.4935733283873589e+02 2.4768547699740182e+02 2.4583668083129453e+02 2.4378155045742253e+02 2.4152588650086446e+02 2.3907490669119986e+02 2.3644783559586384e+02 2.3367738364485822e+02 2.3082581261218223e+02 2.2798618175450221e+02 2.2530831343208203e+02 2.2298567719772805e+02 2.2131593953331137e+02 2.2071574972499468e+02 2.2178928672197344e+02 2.2541706629208477e+02 2.3293332728555006e+02 2.4645048177700045e+02 2.6952435305469373e+02 4.1262896538876134e+02 +1.2437406241837421e-03 1.3816739510276439e+05 3.8518532468375674e+05 8.0241631385692430e+05 1.3116729591179090e+06 1.7159975339258821e+06 1.7812887201711801e+06 1.5053706693737337e+06 1.1347240248404068e+06 8.2561580277578533e+05 5.9019997098819469e+05 4.0934274725447886e+05 2.7461897580078355e+05 1.7869647392357135e+05 1.1295637939943065e+05 6.9405686709243018e+04 4.1544875136553484e+04 2.4298195820551031e+04 1.3930347490306329e+04 7.8753197236579726e+03 4.4434846257685549e+03 2.5582580815715960e+03 1.5561325187165414e+03 1.0429839831269087e+03 7.8910232325620598e+02 6.6085489399568041e+02 5.9863936344771651e+02 5.7298682326313576e+02 5.6328954214122666e+02 5.5938065495681428e+02 5.5733901992324365e+02 5.5577471807484426e+02 5.5420634297736194e+02 5.5245866098377667e+02 5.5045313462773640e+02 5.4813881832265952e+02 5.4547068632901733e+02 5.4240344439713101e+02 5.3889022167780172e+02 5.3488304908291116e+02 5.3033400421057695e+02 5.2478970015669563e+02 5.1851503317577760e+02 5.1146781707476117e+02 5.0361980486124185e+02 4.9496140540625362e+02 4.8550617823188492e+02 4.7529452383420158e+02 4.6439584019395357e+02 4.5290893184494394e+02 4.4095710755084951e+02 4.2868275305918792e+02 4.1624730644230294e+02 4.0382418618211960e+02 3.9156863115696484e+02 3.7962079848648602e+02 3.6811011012557577e+02 3.5713679967497444e+02 3.4677961425779677e+02 3.3709011388708728e+02 3.2810673450163540e+02 3.1984006544232085e+02 3.1229675568065710e+02 3.0546029714247976e+02 2.9932103093304590e+02 2.9384974298126946e+02 2.8901608427757185e+02 2.8479385559094823e+02 2.8114646591830507e+02 2.7803036088390758e+02 2.7541279652678662e+02 2.7324612941480876e+02 2.7148933773767004e+02 2.7009258439961292e+02 2.6900735048285833e+02 2.6816628647844897e+02 2.6750422946714360e+02 2.6696761894897327e+02 2.6650775466610821e+02 2.6608050168775065e+02 2.6578036266651117e+02 2.6547799547082644e+02 2.6516977136551031e+02 2.6484704698660721e+02 2.6451415634534840e+02 2.6416197627293786e+02 2.6380001458662122e+02 2.6339937820257211e+02 2.6297060230283171e+02 2.6250579434780536e+02 2.6199879119419899e+02 2.6144210367071224e+02 2.6082729493680080e+02 2.6014271130024360e+02 2.5938751884941740e+02 2.5853633745037234e+02 2.5758199719194454e+02 2.5651064828749304e+02 2.5530738622609510e+02 2.5395684040790030e+02 2.5244359353976304e+02 2.5075104540238209e+02 2.4887936688407845e+02 2.4679880045650162e+02 2.4451521847021451e+02 2.4203390323360162e+02 2.3937431725414055e+02 2.3656957581403739e+02 2.3368271129256613e+02 2.3080793474915288e+02 2.2809692276934203e+02 2.2574553959787420e+02 2.2405513583014400e+02 2.2344751758255177e+02 2.2453434160163638e+02 2.2820702168488674e+02 2.3581631038062591e+02 2.4950076482208226e+02 2.7286021807965187e+02 4.1772930894490850e+02 +1.2514060939142028e-03 1.3802865331226162e+05 3.8480604471891857e+05 8.0171126286916039e+05 1.3109738177827208e+06 1.7164894485058845e+06 1.7844363407086078e+06 1.5112497921227498e+06 1.1421425694216560e+06 8.3346766814341058e+05 5.9775510296652419e+05 4.1607611291377572e+05 2.8024058616649604e+05 1.8313828476374739e+05 1.1629940178659478e+05 7.1811571231309848e+04 4.3207170707121884e+04 2.5404671503209745e+04 1.4641210062362130e+04 8.3167331453334609e+03 4.7089332460609594e+03 2.7134244479503463e+03 1.6449844241391370e+03 1.0937674209573852e+03 8.1895532819736911e+02 6.7889746038570843e+02 6.1027600011725951e+02 5.8171576759534491e+02 5.7085670656966545e+02 5.6650907479517309e+02 5.6430336371848193e+02 5.6267260642503425e+02 5.6106950435279998e+02 5.5929539048678021e+02 5.5726357971789105e+02 5.5492018028564189e+02 5.5221888996091752e+02 5.4911363734961571e+02 5.4555690782644183e+02 5.4150012024776333e+02 5.3689475398962372e+02 5.3128180796971992e+02 5.2492945846280952e+02 5.1779499784121197e+02 5.0984983055339762e+02 5.0108424809233998e+02 4.9151197937090848e+02 4.8117392666863356e+02 4.7014034874065339e+02 4.5851127483302679e+02 4.4641154156893759e+02 4.3398529841468354e+02 4.2139598249849331e+02 4.0881915908265756e+02 3.9641198853960617e+02 3.8431636241250578e+02 3.7266330386185734e+02 3.6155428636213702e+02 3.5106903098871231e+02 3.4125973543538589e+02 3.3216531106397332e+02 3.2379647841091315e+02 3.1615996898456171e+02 3.0923907082666494e+02 3.0302400542448612e+02 2.9748519636277194e+02 2.9259191671793735e+02 2.8831763861626052e+02 2.8462531188318451e+02 2.8147083526733263e+02 2.7882105138863284e+02 2.7662772042194081e+02 2.7484930849092137e+02 2.7343536072425667e+02 2.7233675995413279e+02 2.7148532775184191e+02 2.7081510065155913e+02 2.7027186098856100e+02 2.6980631056397965e+02 2.6937377164898987e+02 2.6906991840262492e+02 2.6876380905449020e+02 2.6845177015646135e+02 2.6812505145871148e+02 2.6778804065245231e+02 2.6743150168988433e+02 2.6706505994709113e+02 2.6665946490404332e+02 2.6622538206315591e+02 2.6575482119956075e+02 2.6524154288844244e+02 2.6467796526520090e+02 2.6405554706722666e+02 2.6336249038862684e+02 2.6259795087641203e+02 2.6173623443522081e+02 2.6077008234057575e+02 2.5968547338724642e+02 2.5846731859143307e+02 2.5710005711176598e+02 2.5556808083583914e+02 2.5385458410734199e+02 2.5195973981315811e+02 2.4985342227969286e+02 2.4754157646943281e+02 2.4502955006983385e+02 2.4233704647530394e+02 2.3949759083477051e+02 2.3657499567745293e+02 2.3366463813230612e+02 2.3092007197486285e+02 2.2853958580531778e+02 2.2682825996298749e+02 2.2621312126763689e+02 2.2731339688234956e+02 2.3103153361905134e+02 2.3873500226337774e+02 2.5258882884179653e+02 2.7623740131132161e+02 4.2289268589945652e+02 +1.2591188077605558e-03 1.3788993251314916e+05 3.8442674535230803e+05 8.0100490133613325e+05 1.3102660761838434e+06 1.7169519619814639e+06 1.7875255812766210e+06 1.5170565670403931e+06 1.1494986586824649e+06 8.4128096541936963e+05 6.0530013668745500e+05 4.2282613824860001e+05 2.8589921563287656e+05 1.8762904494056333e+05 1.1969522106094286e+05 7.4267764130264783e+04 4.4913305336127647e+04 2.6546747308227870e+04 1.5379299650108678e+04 8.7778815221341392e+03 4.9879939359641212e+03 2.8775514951502851e+03 1.7394839061368871e+03 1.1479907777730252e+03 8.5086352075001514e+02 6.9809685729809928e+02 6.2250773609454063e+02 5.9074927842362638e+02 5.7859758119005801e+02 5.7375657792020343e+02 5.7136522420361530e+02 5.6965984935377685e+02 5.6801896771075042e+02 5.6621719791331509e+02 5.6415848161941756e+02 5.6178554394574576e+02 5.5905065435211213e+02 5.5590691025425986e+02 5.5230613120072474e+02 5.4819911204878463e+02 5.4353672520122291e+02 5.3785428533848324e+02 5.3142328936794013e+02 5.2420050174680239e+02 5.1615697406458480e+02 5.0728287901931964e+02 4.9759211706746152e+02 4.8712609854679368e+02 4.7595595371925322e+02 4.6418295178456242e+02 4.5193347621992331e+02 4.3935346212142400e+02 4.2660837048036859e+02 4.1387593996273881e+02 4.0131527625170827e+02 3.8907002679713617e+02 3.7727283578257635e+02 3.6602643189205429e+02 3.5541152218939845e+02 3.4548094992409085e+02 3.3627410774642976e+02 3.2780184900197719e+02 3.2007098874901857e+02 3.1306460861767914e+02 3.0677280898265832e+02 3.0116564657179646e+02 2.9621201181048639e+02 2.9188504401060118e+02 2.8814722799866746e+02 2.8495390870218102e+02 2.8227151002244216e+02 2.8005118820505737e+02 2.7825089087001834e+02 2.7681953769595657e+02 2.7570740590199665e+02 2.7484547797186445e+02 2.7416698010456162e+02 2.7361702945459615e+02 2.7314572257908941e+02 2.7270783230140711e+02 2.7240021883822658e+02 2.7209032099219581e+02 2.7177442005282614e+02 2.7144365756310623e+02 2.7110247555938116e+02 2.7074152371729781e+02 2.7037054642648951e+02 2.6995993130633508e+02 2.6952047579244015e+02 2.6904409076411906e+02 2.6852445957107426e+02 2.6795390650692963e+02 2.6732378459342056e+02 2.6662214992576747e+02 2.6584814757702424e+02 2.6497576560636196e+02 2.6399765537313448e+02 2.6289962213114831e+02 2.6166639013829359e+02 2.6028220595587737e+02 2.5873126828810928e+02 2.5699656349808924e+02 2.5507826649372763e+02 2.5294587889901865e+02 2.5060541918670077e+02 2.4806230123344727e+02 2.4533647230355970e+02 2.4246187248978197e+02 2.3950310413440752e+02 2.3655672487875958e+02 2.3377818893772533e+02 2.3136823929811587e+02 2.2963573223856065e+02 2.2901297994714446e+02 2.3012687377050378e+02 2.3389103019019731e+02 2.4168984530338474e+02 2.5571514187675135e+02 2.7965641461069549e+02 4.2811987507570757e+02 +1.2668790568995407e-03 1.3775122946773385e+05 3.8404742934749764e+05 8.0029725257331342e+05 1.3095498480772455e+06 1.7173854199592141e+06 1.7905568838535480e+06 1.5227911256272190e+06 1.1567918289879207e+06 8.4905463035365008e+05 6.1283360059870279e+05 4.2959124706425797e+05 2.9159347403075790e+05 1.9216775101212543e+05 1.2314330001081304e+05 7.6774165355856487e+04 4.6663515655785748e+04 2.7724869002686642e+04 1.6145151164641768e+04 9.2592960690805448e+03 5.2811351520990656e+03 3.0510170953228389e+03 1.8399142880587299e+03 1.2058549100228929e+03 8.8496427195728586e+02 7.1853971854775079e+02 6.3538241675255915e+02 6.0011138237108855e+02 5.8652368655393127e+02 5.8112869520275319e+02 5.7852746334268625e+02 5.7673819327108083e+02 5.7505603846630868e+02 5.7322522166065301e+02 5.7113891641243686e+02 5.6873596081123799e+02 5.6596701914968287e+02 5.6278429465358886e+02 5.5913891587769160e+02 5.5498104063223411e+02 5.5026092517989593e+02 5.4450812892604824e+02 5.3799751050486020e+02 5.3068529988220348e+02 5.2254219143415810e+02 5.1355823763176375e+02 5.0374751265154413e+02 4.9315194124820010e+02 4.8184353605685595e+02 4.6992482166487912e+02 4.5752374763717023e+02 4.4478805688131598e+02 4.3188525937320361e+02 4.1899529413463227e+02 4.0627923627199948e+02 3.9388251089364292e+02 3.8193940326826652e+02 3.7055391281392377e+02 3.5980774476757273e+02 3.4975439590425117e+02 3.4043374610196480e+02 3.3185678314629388e+02 3.2403040667068785e+02 3.1693748933288640e+02 3.1056800888288899e+02 3.0489165062086971e+02 2.9987691752377776e+02 2.9549661186588600e+02 2.9171274757191213e+02 2.8848010871405575e+02 2.8576469510583189e+02 2.8351705143420190e+02 2.8169460029539505e+02 2.8024562814773566e+02 2.7911979914409227e+02 2.7824724638779969e+02 2.7756037583538841e+02 2.7700363134634745e+02 2.7652649684081456e+02 2.7608318896497622e+02 2.7577176872294177e+02 2.7545803545927464e+02 2.7513822464514453e+02 2.7480336827723858e+02 2.7445796341142164e+02 2.7409254403237276e+02 2.7371697501423978e+02 2.7330127763775158e+02 2.7285638290451840e+02 2.7237410157296239e+02 2.7184803881057024e+02 2.7127042390719816e+02 2.7063250285920248e+02 2.6992218395521138e+02 2.6913860156082677e+02 2.6825542195624229e+02 2.6726520547002502e+02 2.6615358166453825e+02 2.6490508572717050e+02 2.6350376923587800e+02 2.6193363531861809e+02 2.6017745978224082e+02 2.5823541957859896e+02 2.5607663901622072e+02 2.5370721098744133e+02 2.5113261637709894e+02 2.4837304934111989e+02 2.4546287005445996e+02 2.4246748045593907e+02 2.3948463332172824e+02 2.3667170684247367e+02 2.3423192879520914e+02 2.3247797816575064e+02 2.3184751797600842e+02 2.3297519868468490e+02 2.3678594479211893e+02 2.4468128734573017e+02 2.5888017776011287e+02 2.8311777617333894e+02 4.3341166491662085e+02 +1.2746871343024891e-03 1.3761254849312731e+05 3.8366809383618750e+05 7.9958833123974432e+05 1.3088252614746748e+06 1.7177901758434149e+06 1.7935306898276808e+06 1.5284536245714643e+06 1.1640216427881559e+06 8.5678762146388693e+05 6.2035404571416380e+05 4.3636987004535680e+05 2.9732196071114962e+05 1.9675337440035184e+05 1.2664306787327514e+05 7.9330640297222912e+04 4.8458008808552360e+04 2.8939461481573784e+04 1.6939288148199488e+04 9.7615049802399371e+03 5.5888283817073461e+03 3.2342056295253137e+03 1.9465666608348138e+03 1.2675682187439857e+03 9.2140157117508488e+02 7.4031782943536098e+02 6.4895130208441310e+02 6.0982810055353502e+02 5.9464760659953822e+02 5.8863148468234419e+02 5.8579319053503821e+02 5.8390949790857894e+02 5.8218207563827161e+02 5.8032062879581258e+02 5.7820597898301389e+02 5.7577249744687401e+02 5.7296903765405284e+02 5.6974683519713255e+02 5.6605629878863692e+02 5.6184693484297475e+02 5.5706837382849244e+02 5.5124434782206731e+02 5.4465311875602151e+02 5.3725037543439112e+02 5.2900645060690795e+02 5.1991127506645739e+02 5.0997909891655519e+02 4.9925236776780167e+02 4.8780398763217136e+02 4.7573775411315739e+02 4.6318320233700422e+02 4.5028990548557567e+02 4.3722744795170127e+02 4.2417799640150378e+02 4.1130461977923903e+02 3.9875454286983370e+02 3.8666371233976088e+02 3.7513741405619760e+02 3.6425836376456812e+02 3.5408071983300692e+02 3.4464485537685368e+02 3.3596189427350834e+02 3.2803882176811646e+02 3.2085829895247304e+02 3.1441017941932637e+02 3.0866377241444820e+02 3.0358718860762394e+02 2.9915288895721079e+02 2.9532241050919458e+02 2.9204996935537821e+02 2.8930113578443121e+02 2.8702583519779228e+02 2.8518095856506875e+02 2.8371415125859340e+02 2.8257445681940811e+02 2.8169114855151355e+02 2.8099580214048410e+02 2.8043217993678468e+02 2.7994914574240431e+02 2.7950035321256445e+02 2.7918507905363884e+02 2.7886746287182967e+02 2.7854369375639357e+02 2.7820469280354462e+02 2.7785501277119522e+02 2.7748507052045130e+02 2.7710485289969301e+02 2.7668401031765990e+02 2.7623360899416684e+02 2.7574535832712132e+02 2.7521278433317326e+02 2.7462802012187535e+02 2.7398220333847917e+02 2.7326309263481323e+02 2.7246981153392545e+02 2.7157570055455659e+02 2.7057322786577987e+02 2.6944784516262149e+02 2.6818389621957323e+02 2.6676523521593589e+02 2.6517566728251671e+02 2.6339775506123294e+02 2.6143167757042977e+02 2.5924617713388881e+02 2.5684742198338057e+02 2.5424096084238758e+02 2.5144723781526235e+02 2.4850103836427999e+02 2.4546857392732758e+02 2.4244880721933984e+02 2.3960106423470515e+02 2.3713108832138943e+02 2.3535542851947659e+02 2.3471716496086094e+02 2.3585880332111233e+02 2.3971671618184436e+02 2.4770978177700204e+02 2.6208441618923399e+02 2.8662201060813510e+02 4.3876885360322024e+02 +1.2825433347463848e-03 1.3747388845860478e+05 3.8328875025661133e+05 7.9887817131340399e+05 1.3080924311122186e+06 1.7181665160175657e+06 1.7964474587905922e+06 1.5340442253151310e+06 1.1711876843699515e+06 8.6447892786706460e+05 6.2786004590466432e+05 4.4316044602226588e+05 3.0308326590071060e+05 2.0138486251617916e+05 1.3019392104108135e+05 8.1937019938399972e+04 5.0296962084364604e+04 3.0190928044820572e+04 1.7762221907042080e+04 1.0285032612057577e+04 5.9115475074940878e+03 3.4275075874104514e+03 2.0597397053491668e+03 1.3333466442646777e+03 9.6032613638384487e+02 7.6352829361696968e+02 6.6326922971248882e+02 6.1992757414296921e+02 6.0298307145594345e+02 5.9627158012332745e+02 5.9316578848506549e+02 5.9117574904966000e+02 5.8939849773335254e+02 5.8750461766786475e+02 5.8536078418196439e+02 5.8289623602350594e+02 5.8005777712713279e+02 5.7679558985574317e+02 5.7305932989935422e+02 5.6879783639578739e+02 5.6396010377913706e+02 5.5806396370040693e+02 5.5139112342958538e+02 5.4389672384012147e+02 5.3555073158244284e+02 5.2634295430170152e+02 5.1628782026395322e+02 5.0542830245623230e+02 4.9383821141146251e+02 4.8162262957419824e+02 4.6891269735075781e+02 4.5585984093937282e+02 4.4263574490168361e+02 4.2942483117687306e+02 4.1639218726390442e+02 4.0368685991715711e+02 3.9144647776430912e+02 3.7977762903098397e+02 3.6876405245698720e+02 3.5846057616968324e+02 3.4890807260643595e+02 3.4011780340538911e+02 3.3209684047258639e+02 3.2482763070704203e+02 3.1829990199307298e+02 3.1248258283424258e+02 3.0734338667559740e+02 3.0285442882569095e+02 2.9897676339732010e+02 2.9566403128700563e+02 2.9288136775187326e+02 2.9057807108167998e+02 2.8871049393490426e+02 2.8722563263299338e+02 2.8607190246711093e+02 2.8517770639527805e+02 2.8447377968033931e+02 2.8390319485120085e+02 2.8341418801794293e+02 2.8295984294902189e+02 2.8264066715074267e+02 2.8231911996149245e+02 2.8199134351888932e+02 2.8164814664635679e+02 2.8129413849476879e+02 2.8091961735208048e+02 2.8053469354889694e+02 2.8010864203212697e+02 2.7965266591313025e+02 2.7915837197389942e+02 2.7861920609937363e+02 2.7802720402778601e+02 2.7737339371147999e+02 2.7664538231232012e+02 2.7584228237339397e+02 2.7493710462202370e+02 2.7392222392363061e+02 2.7278291190285347e+02 2.7150331855120794e+02 2.7006709820413789e+02 2.6845785554163496e+02 2.6665793740207630e+02 2.6466752489335016e+02 2.6245497362665941e+02 2.6002652810419613e+02 2.5738780572861987e+02 2.5455950364995715e+02 2.5157683788350562e+02 2.4850683939361298e+02 2.4544969582091611e+02 2.4256670508740393e+02 2.4006615727282761e+02 2.3826851940549966e+02 2.3762235582475080e+02 2.3877812471840579e+02 2.4268378854708382e+02 2.5077578759588323e+02 2.6532834279790796e+02 2.9016964901609231e+02 4.4419224917502243e+02 +1.2904479548249922e-03 1.3733524853804064e+05 3.8290939484114345e+05 7.9816678984395205e+05 1.3073514640256560e+06 1.7185147658233640e+06 1.7993076298446686e+06 1.5395631244819029e+06 1.1782895602244530e+06 8.7212756578351383e+05 6.3535019758972083e+05 4.4996142302867706e+05 3.0887597185982129e+05 2.0606113986705631e+05 1.3379522380406267e+05 8.4593101061848618e+04 5.2180522606857943e+04 3.1479649710045749e+04 1.8614450660669230e+04 1.0830398663508342e+04 6.2497681549718027e+03 3.6313191426338321e+03 2.1797394906040918e+03 1.4034136414689842e+03 1.0018955118731996e+03 7.8827369479290826e+02 6.7839477866134621e+02 6.3044019359658409e+02 6.1154504433720672e+02 6.0405624285598071e+02 6.0064894127341245e+02 5.9853907254840931e+02 5.9670678930400288e+02 5.9477842084866802e+02 5.9260446813310796e+02 5.9010827494114017e+02 5.8723431913160869e+02 5.8393163015190271e+02 5.8014907240403727e+02 5.7583480004372677e+02 5.7093716056201492e+02 5.6496801097903676e+02 5.5821254641695930e+02 5.5062535294110126e+02 5.4217602656771476e+02 5.3285425030538909e+02 5.2267463284915061e+02 5.1168068116410802e+02 4.9994712158987102e+02 4.8758033943526260e+02 4.7471310035479451e+02 4.6149870659068898e+02 4.4811096894538531e+02 4.3473659260479837e+02 4.2154270864673970e+02 4.0868020836529234e+02 3.9628842316604192e+02 3.8447525973879908e+02 3.7332549245847400e+02 3.6289462747717630e+02 3.5322404271158837e+02 3.4432513925053871e+02 3.3620507672044289e+02 3.2884608516928307e+02 3.2223776519852532e+02 3.1634865982661313e+02 3.1114608028996497e+02 3.0660179186039198e+02 3.0267635958587164e+02 2.9932284186056114e+02 2.9650593333026580e+02 2.9417429725027455e+02 2.9228374119741949e+02 2.9078060437919697e+02 2.8961266610471074e+02 2.8870744830957028e+02 2.8799483555897746e+02 2.8741720214565282e+02 2.8692214882133459e+02 2.8646218248726836e+02 2.8613905673665340e+02 2.8581352985513502e+02 2.8548169645181082e+02 2.8513425168925039e+02 2.8477586180974436e+02 2.8439670506079489e+02 2.8400701678228529e+02 2.8357569181226455e+02 2.8311407184750254e+02 2.8261365978301836e+02 2.8206782038004633e+02 2.8146849079912784e+02 2.8080658794063589e+02 2.8006956560095676e+02 2.7925652520495328e+02 2.7834014360677520e+02 2.7731270121106775e+02 2.7615928734240032e+02 2.7486385580775419e+02 2.7340985862419546e+02 2.7178069753843494e+02 2.6995850091223855e+02 2.6794345196665222e+02 2.6570351481349780e+02 2.6324501116945970e+02 2.6057362796671271e+02 2.5771031853426445e+02 2.5469073477443285e+02 2.5158273732875148e+02 2.4848775393583554e+02 2.4556907886743210e+02 2.4303758048308879e+02 2.4121769232614108e+02 2.4056353087335467e+02 2.4173360532332956e+02 2.4568761157135995e+02 2.5387976948037584e+02 2.6861244922959281e+02 2.9376122907082873e+02 4.4968266965190008e+02 +1.2984012929600538e-03 1.3719662891624344e+05 3.8253002776864183e+05 7.9745421455952036e+05 1.3066024988865620e+06 1.7188352622985980e+06 1.8021116450644534e+06 1.5450105102937133e+06 1.1853269012281119e+06 8.7973258199214307e+05 6.4282311871258961e+05 4.5677125853943411e+05 3.1469865397908707e+05 2.1078110914724026e+05 1.3744630911685605e+05 8.7298646498230009e+04 5.4108807067176516e+04 3.2805984562543315e+04 1.9496458709079438e+04 1.1398117355240487e+04 6.6039670239541902e+03 3.8460417046882885e+03 2.3068792477317479e+03 1.4780001350588382e+03 1.0462741524221835e+03 8.1466225235289539e+02 6.9439043330831976e+02 6.4139873128876059e+02 6.2034981250466433e+02 6.1199341700306729e+02 6.0824666474024730e+02 6.0600174973614139e+02 6.0410850826720468e+02 6.0214330844679273e+02 5.9993818971880080e+02 5.9740972951848869e+02 5.9449975990597954e+02 5.9115604140527796e+02 5.8732660291435718e+02 5.8295889375597619e+02 5.7800060276797842e+02 5.7195753698368776e+02 5.6511842235321126e+02 5.5743728314133239e+02 5.4888334013173358e+02 5.3944615018931609e+02 5.2914050472914914e+02 5.1801045138516963e+02 5.0613164372981339e+02 4.9361178616353055e+02 4.8058528980525415e+02 4.6720735625915472e+02 4.5365394896570172e+02 4.4011408468013838e+02 4.2675696339513087e+02 4.1373534379352941e+02 4.0119028113418909e+02 3.8923101687625865e+02 3.7794337382325756e+02 3.6738354452078556e+02 3.5759341859615199e+02 3.4858453829805870e+02 3.4036415204538912e+02 3.3291427034224859e+02 3.2622436491395712e+02 3.2026258848752627e+02 3.1499584504843921e+02 3.1039554538491291e+02 3.0642175927149628e+02 3.0302695519889249e+02 3.0017538155209564e+02 2.9781505852637230e+02 2.9590124176287179e+02 2.9437960519037864e+02 2.9319728430817133e+02 2.9228090922380164e+02 2.9155950340312955e+02 2.9097473438537236e+02 2.9047355980486816e+02 2.9000790262875898e+02 2.8968077801450505e+02 2.8935122215317193e+02 2.8901528154071622e+02 2.8866353627332660e+02 2.8830071039377600e+02 2.8791686062178110e+02 2.8752234885266819e+02 2.8708568511146689e+02 2.8661835139537754e+02 2.8611174542551578e+02 2.8555914983495927e+02 2.8495240198466320e+02 2.8428230634841680e+02 2.8353616145803761e+02 2.8271305747909889e+02 2.8178533326119032e+02 2.8074517357699744e+02 2.7957748319226607e+02 2.7826601730029745e+02 2.7679402309312911e+02 2.7514469687104651e+02 2.7329994581347648e+02 2.7125995527799085e+02 2.6899229303194795e+02 2.6650335896103911e+02 2.6379891038795796e+02 2.6090015999438873e+02 2.5784320096832965e+02 2.5469673390488038e+02 2.5156344200130715e+02 2.4860864060402281e+02 2.4604580829040901e+02 2.4420339424805385e+02 2.4354113586016064e+02 2.4472569305831331e+02 2.4872864050343304e+02 2.5702219785891515e+02 2.7193723321199968e+02 2.9739729509933630e+02 4.5524094315685397e+02 +1.3064036494125563e-03 1.3705802891888449e+05 3.8215066220916907e+05 7.9674046846934583e+05 1.3058456189500464e+06 1.7191283339995423e+06 1.8048599625443353e+06 1.5503866063955815e+06 1.1922993748101154e+06 8.8729305081220728e+05 6.5027745095598896e+05 4.6358842038427130e+05 3.2054988203415880e+05 2.1554365235661314e+05 1.4114647939771073e+05 9.0053385425133514e+04 5.6081901504907655e+04 3.4170267143527846e+04 2.0408715620356208e+04 1.1988696609599014e+04 6.9746212057835337e+03 4.0720814481780967e+03 2.4414791199304927e+03 1.5573444543321800e+03 1.0936334931352426e+03 8.4280797009969422e+02 7.1132274687377435e+02 6.5283847723518409e+02 6.2941508224097083e+02 6.2009178816086887e+02 6.1596333929915136e+02 6.1356623430782395e+02 6.1160529402211955e+02 6.0960059183334533e+02 6.0736313225559229e+02 6.0480173277863707e+02 6.0185521077115345e+02 5.9846992299373335e+02 5.9459301166614080e+02 5.9017119889731941e+02 5.8515150222317152e+02 5.7903360211412564e+02 5.7210979877767966e+02 5.6433354756621884e+02 5.5567368936245464e+02 5.4611965335891455e+02 5.3568641601443346e+02 5.2441857240430738e+02 5.1239271490674514e+02 4.9971788344457741e+02 4.8653015507359345e+02 4.7298665436705824e+02 4.5926552413423906e+02 4.4555812137298778e+02 4.3203574064215275e+02 4.1885303114707165e+02 4.0615279333629144e+02 3.9404561994247041e+02 3.8261839515183834e+02 3.7192800637037584e+02 3.6201686124602639e+02 3.5289664491461014e+02 3.4457469567360386e+02 3.3703280175323783e+02 3.3026030438957650e+02 3.2422496115366425e+02 3.1889326366970209e+02 3.1423626374153105e+02 3.1021352958197485e+02 3.0677693228185501e+02 3.0389026824328653e+02 3.0150090647490146e+02 2.9956354374020708e+02 2.9802318042454141e+02 2.9682630029368659e+02 2.9589863068672861e+02 2.9516832344237594e+02 2.9457633072600788e+02 2.9406895919925006e+02 2.9359754074337388e+02 2.9326636774826125e+02 2.9293273300885681e+02 2.9259263431664266e+02 2.9223653527845426e+02 2.9186921845351878e+02 2.9148061753074262e+02 2.9108122252497162e+02 2.9063915388552641e+02 2.9016603564671982e+02 2.8965315905267971e+02 2.8909372359095687e+02 2.8847946558730524e+02 2.8780107569618576e+02 2.8704569526190329e+02 2.8621240304920349e+02 2.8527319571962136e+02 2.8422016122828654e+02 2.8303801749591014e+02 2.8171031864188632e+02 2.8022010449678567e+02 2.7855036336873707e+02 2.7668277851696365e+02 2.7461753745848148e+02 2.7232180671146654e+02 2.6980206529626543e+02 2.6706414179896365e+02 2.6412951146572954e+02 2.6103471423605419e+02 2.5784930106258884e+02 2.5467722615213998e+02 2.5168585095651324e+02 2.4909129660573890e+02 2.4722607766789483e+02 2.4655562205563797e+02 2.4775484138775923e+02 2.5180733622581525e+02 2.6020354898085856e+02 2.7530319863124794e+02 3.0107839816414855e+02 4.6086790804094250e+02 +1.3144553262940666e-03 1.3691945044292556e+05 3.8177129126363643e+05 7.9602556729070458e+05 1.3050809568411042e+06 1.7193942709956174e+06 1.8075530364134314e+06 1.5556916103764046e+06 1.1992066576194800e+06 8.9480807643586013e+05 6.5771186061094480e+05 4.7041138842071814e+05 3.2642822145725176e+05 2.2034763199674853e+05 1.4489500737139894e+05 9.2857013712281274e+04 5.8099861136897867e+04 3.5572807877561732e+04 2.1351675440259402e+04 1.2602637233717507e+04 7.3622074880357150e+03 4.3098488203933557e+03 2.5838658885287764e+03 1.6416922470349532e+03 1.1441520041286799e+03 8.7283077716769958e+02 7.2926250378544660e+02 6.6479737757586895e+02 6.3876007776506844e+02 6.2836084560233473e+02 6.2380374528394259e+02 6.2123517079452552e+02 6.1919887646954044e+02 6.1715162782257448e+02 6.1488050538985851e+02 6.1228543632951846e+02 6.0930179858707902e+02 6.0587438863683758e+02 6.0194940273279894e+02 5.9747281041559597e+02 5.9239094416030707e+02 5.8619728001094290e+02 5.7918773630116289e+02 5.7131519222360907e+02 5.6254810402422004e+02 5.5287577167076915e+02 5.4231335901868613e+02 5.3090601544532137e+02 5.1873128385283553e+02 5.0589955632372710e+02 4.9254859658099883e+02 4.7883747607214440e+02 4.6494654403738895e+02 4.5106952675055550e+02 4.3737983930641292e+02 4.2403404485375006e+02 4.1117671062929890e+02 3.9891979735007885e+02 3.8735126369418379e+02 3.7652870050340329e+02 3.6649503982878986e+02 3.5726211144298622e+02 3.4883734461690284e+02 3.4120230254581338e+02 3.3434619434053633e+02 3.2823637748965666e+02 3.2283892608256900e+02 3.1812452837961945e+02 3.1405224466116272e+02 3.1057334103042422e+02 3.0765115610680994e+02 3.0523239948483808e+02 3.0327120202079738e+02 3.0171188218876915e+02 3.0050026399883171e+02 2.9956116094783448e+02 2.9882184259168093e+02 2.9822253699429427e+02 2.9770889189585569e+02 2.9723164085013036e+02 2.9689636934406178e+02 2.9655860520989205e+02 2.9621429693743141e+02 2.9585379020239424e+02 2.9548192680681240e+02 2.9508851588534037e+02 2.9468417715615971e+02 2.9423663667272564e+02 2.9375766226243076e+02 2.9323843737541733e+02 2.9267207732248977e+02 2.9205021614375949e+02 2.9136342926322271e+02 2.9059869889237365e+02 2.8975509225061074e+02 2.8880425957752129e+02 2.8773819080880122e+02 2.8654141470664825e+02 2.8519728182590615e+02 2.8368862206702227e+02 2.8199821317018785e+02 2.8010751170050872e+02 2.7801670735960920e+02 2.7569256044890193e+02 2.7314163010366082e+02 2.7036981705469509e+02 2.6739886236514235e+02 2.6426575826021224e+02 2.6104091658182875e+02 2.5782957829096364e+02 2.5480117628500918e+02 2.5217450698100433e+02 2.5028620068165344e+02 2.4960744631286670e+02 2.5082150938781243e+02 2.5492416532262584e+02 2.6342430498899154e+02 2.7871085560891765e+02 3.0480509614674355e+02 4.6656441300962609e+02 +1.3225566275781369e-03 1.3678089093163869e+05 3.8139192192260304e+05 7.9530954501991626e+05 1.3043085919705436e+06 1.7196333930459563e+06 1.8101913237261334e+06 1.5609257654733798e+06 1.2060484572924250e+06 9.0227678821474093e+05 6.6512503787578200e+05 4.7723865552714159e+05 3.3233223439302586e+05 2.2519189228943782e+05 1.4869113695945244e+05 9.5709194312419917e+04 6.0162710233400219e+04 3.7013892539965011e+04 2.2325775925658516e+04 1.3240432107805165e+04 7.7672016484401047e+03 4.5597580283533716e+03 2.7343726755080934e+03 1.7312963719557185e+03 1.1980152292989378e+03 9.0485666024757097e+02 7.4828488023483692e+02 6.7731617544571418e+02 6.4840564397066896e+02 6.3681094805370958e+02 6.3177310093800168e+02 6.2901141471494759e+02 6.2689108597578763e+02 6.2479782335012794e+02 6.2249154723337028e+02 6.1986201135676220e+02 6.1684066625692446e+02 6.1337056669662070e+02 6.0939689424616074e+02 6.0486483702935629e+02 5.9972002739872175e+02 5.9344965772752153e+02 5.8635330876972534e+02 5.7838327616844026e+02 5.6950762671867824e+02 5.5971552959031021e+02 5.4902233841620432e+02 5.3747376382160712e+02 5.2514831110235662e+02 5.1215774134845299e+02 4.9864152594006708e+02 4.8476070740296484e+02 4.7069786881056842e+02 4.5664913510630799e+02 4.4279006821568106e+02 4.2927916894085530e+02 4.1626279317553616e+02 4.0385428653426521e+02 3.9214269546154048e+02 3.8118632290955736e+02 3.7102863179584443e+02 3.6168159829857490e+02 3.5315274377080448e+02 3.4542340357424411e+02 3.3848265303832875e+02 3.3229744457965728e+02 3.2683342951475669e+02 3.2206092794108440e+02 3.1793848575835170e+02 3.1441675639095757e+02 3.1145861480807196e+02 3.0901010285449814e+02 3.0702477836188257e+02 3.0544626942042566e+02 3.0421973216526709e+02 3.0326905504054616e+02 3.0252061453220011e+02 3.0191390577083968e+02 3.0139390952705202e+02 3.0091075369939614e+02 3.0057133293093432e+02 3.0022938826072374e+02 2.9988081826893961e+02 2.9951584924322214e+02 2.9913938296231817e+02 2.9874110246482553e+02 2.9833175877688501e+02 2.9787867867385518e+02 2.9739377555732204e+02 2.9686812374567438e+02 2.9629475333235041e+02 2.9566519480352781e+02 2.9496990692718265e+02 2.9419571081007325e+02 2.9334166198074274e+02 2.9237905997031703e+02 2.9129979547901092e+02 2.9008820576766465e+02 2.8872743530490999e+02 2.8720010146076402e+02 2.8548876879974677e+02 2.8357466438531236e+02 2.8145798012764675e+02 2.7910506508496428e+02 2.7652255949663362e+02 2.7371643713270169e+02 2.7070870816573660e+02 2.6753682270812334e+02 2.6427206415503889e+02 2.6102097615916244e+02 2.5795508871927547e+02 2.5529590667960895e+02 2.5338422705349851e+02 2.5269707113861043e+02 2.5392616181440013e+02 2.5807960015242020e+02 2.6668495399142040e+02 2.8216072057821566e+02 3.0857795383090189e+02 4.7233131725061537e+02 +1.3307078591117808e-03 1.3664235114301139e+05 3.8101255281673535e+05 7.9459240340429323e+05 1.3035286780010965e+06 1.7198460221286688e+06 1.8127752842733541e+06 1.5660893242004840e+06 1.2128245014147453e+06 9.0969834434649767e+05 6.7251569826766115e+05 4.8406872778228798e+05 3.3826048073548364e+05 2.3007526032986157e+05 1.5253408419750512e+05 9.8609557692452261e+04 6.2270442042729628e+04 3.8493781765602762e+04 2.3331437803841414e+04 1.3902565380394390e+04 8.1900777398093005e+03 4.8222265064064841e+03 2.8933386228226577e+03 1.8264167699821571e+03 1.2554158084507742e+03 9.3901778624450037e+02 7.6846960219944106e+02 6.9043855381354581e+02 6.5837435286897801e+02 6.4545339307453276e+02 6.3987710314879178e+02 6.3689805451537643e+02 6.3468386438010123e+02 6.3254064069944377e+02 6.3019752677296856e+02 6.2753264974172669e+02 6.2447297328782929e+02 6.2095960050799908e+02 6.1693661863455372e+02 6.1234840142791825e+02 6.0713986452321751e+02 6.0079183590329706e+02 5.9360760343670017e+02 5.8553887166856532e+02 5.7655331304931906e+02 5.6663996435019885e+02 5.5581437139388856e+02 5.4412281308944591e+02 5.3164476914296915e+02 5.1849338671377950e+02 5.0480986609295076e+02 4.9075724539392320e+02 4.7652036926648077e+02 4.6229779108614423e+02 4.4826724622851674e+02 4.3458919715642145e+02 4.2141181055703157e+02 4.0884983406648360e+02 3.9699341533075341e+02 3.8590157819539979e+02 3.7561832298488531e+02 3.6615577407164267e+02 3.5752154601190824e+02 3.4969674349957160e+02 3.4267030640464151e+02 3.3640877701946073e+02 3.3087737858224398e+02 3.2604605835137608e+02 3.2187284131123170e+02 3.1830776042433683e+02 3.1531322106007184e+02 3.1283458887559567e+02 3.1082484147049223e+02 3.0922690797323656e+02 3.0798526842293779e+02 3.0702287486541212e+02 3.0626519979627011e+02 3.0565099647307636e+02 3.0512457055154482e+02 3.0463543685581499e+02 3.0429181544549965e+02 3.0394563846355345e+02 3.0359275396804009e+02 3.0322326738137627e+02 3.0284214120315545e+02 3.0243893081512067e+02 3.0202452017409206e+02 3.0156583183684705e+02 3.0107492657945028e+02 3.0054276823811807e+02 2.9996230063259503e+02 2.9932494941294681e+02 2.9862105524537913e+02 2.9783727613798465e+02 2.9697265578011161e+02 2.9599813865475596e+02 2.9490551499612536e+02 2.9367892819048637e+02 2.9230131406917536e+02 2.9075507483848554e+02 2.8902255924673238e+02 2.8708476201442028e+02 2.8494187728402500e+02 2.8255983778054377e+02 2.7994536585119130e+02 2.7710450920962353e+02 2.7405955047076191e+02 2.7084840330570006e+02 2.6754323345871160e+02 2.6425190340961785e+02 2.6114806623138816e+02 2.5845596874581184e+02 2.5652062628593382e+02 2.5582496476231142e+02 2.5706926917393918e+02 2.6127411891746942e+02 2.6998599013575949e+02 2.8565331636203081e+02 3.1239754298893331e+02 4.7816949056284705e+02 +1.3389093286270200e-03 1.3650383123973914e+05 3.8063318966476864e+05 7.9387418465102650e+05 1.3027413209737488e+06 1.7200324474738766e+06 1.8153053709444061e+06 1.5711825400203955e+06 1.2195345360608783e+06 9.1707193354226206e+05 6.7988258246467251e+05 4.9090012488611462e+05 3.4421151930674765e+05 2.3499654718899741e+05 1.5642303815251158e+05 1.0155770230504662e+05 6.4423018764414090e+04 4.0012710599238977e+04 2.4369064058645872e+04 1.4589511672969620e+04 8.6313073677460616e+03 5.0976743656375638e+03 3.0611085490379828e+03 1.9273203134348021e+03 1.3165534821071590e+03 9.7545261449228212e+02 7.8990110019263034e+02 7.0421127985659871e+02 6.6869061356313568e+02 6.5430049006490106e+02 6.4812197101169625e+02 6.4489843538959542e+02 6.4257927711682999e+02 6.4038160333472604e+02 6.3799974658075496e+02 6.3529856532651127e+02 6.3219989641809354e+02 6.2864264873891523e+02 6.2456972286996677e+02 6.1992464047526437e+02 6.1465158207167599e+02 6.0822492894023435e+02 6.0095172113289993e+02 5.9278306437295601e+02 5.8368623178472831e+02 5.7365012611376642e+02 5.6269048781370657e+02 5.5085417120106001e+02 5.3822164256451481e+02 5.2490745240758304e+02 5.1105455145446825e+02 4.9682799822321346e+02 4.8241492703073396e+02 4.6801634981659294e+02 4.5381220236103104e+02 4.3996493308883345e+02 4.2662454189280243e+02 4.1390719576645279e+02 4.0190415715601790e+02 3.9067517969171286e+02 3.8026480772287687e+02 3.7068531562680471e+02 3.6194441229540718e+02 3.5402296888470181e+02 3.4690978810502639e+02 3.4057099700866087e+02 3.3497138538220497e+02 3.3008052290804352e+02 3.2585590703971485e+02 3.2224694239178802e+02 3.1921555871104647e+02 3.1670643692046792e+02 3.1467196709007681e+02 3.1305437070146098e+02 3.1179744337637499e+02 3.1082318927469674e+02 3.1005616585137238e+02 3.0943437544011323e+02 3.0890144033715580e+02 3.0840625478265741e+02 3.0805838071460136e+02 3.0770791900401025e+02 3.0735066656695437e+02 3.0697660646443194e+02 3.0659076267072925e+02 3.0618256132989279e+02 3.0576302097376811e+02 3.0529865493751907e+02 3.0480167319552498e+02 3.0426292773327515e+02 3.0367527502824981e+02 3.0303003459589752e+02 3.0231742753770868e+02 3.0152394674360590e+02 3.0064862391430341e+02 2.9966204409052733e+02 2.9855589579486269e+02 2.9731412613813887e+02 2.9591945972855450e+02 2.9435408094495847e+02 2.9260012004623377e+02 2.9063833653152926e+02 2.8846892680193622e+02 2.8605740209542273e+02 2.8341056788260192e+02 2.8053454673676760e+02 2.7745189708948533e+02 2.7420100191260440e+02 2.7085492022806284e+02 2.6752284967904694e+02 2.6438059270648552e+02 2.6165517207685895e+02 2.5969587368994382e+02 2.5899160120549374e+02 2.6025130779450507e+02 2.6450820573670211e+02 2.7332791368331522e+02 2.8918917225233218e+02 3.1626444246747548e+02 4.8407981348803168e+02 +1.3471613457525021e-03 1.3636533131613093e+05 3.8025383301492495e+05 7.9315490224569279e+05 1.3019465662925788e+06 1.7201930112968241e+06 1.8177820456219583e+06 1.5762056774833635e+06 1.2261783378940315e+06 9.2439677035764128e+05 6.8722445517862833e+05 4.9773138134915975e+05 3.5018390906241519e+05 2.3995454903447418e+05 1.6035716182760810e+05 1.0455319509939726e+05 6.6620371570216463e+04 4.1570888088854110e+04 2.5439039245623790e+04 1.5301735295519826e+04 9.0913589631011346e+03 5.3865238263842393e+03 3.2380325838458798e+03 2.0342806335618936e+03 1.3816350783867622e+03 1.0143059976711038e+03 8.1266865998833543e+02 7.1868435038629536e+02 6.7938078555903701e+02 6.6336563688925423e+02 6.5651449231588276e+02 6.5301618509129548e+02 6.5057952653206553e+02 6.4832230238692273e+02 6.4589954585743101e+02 6.4316099533652425e+02 6.4002263031773168e+02 6.3642088578311450e+02 6.3229736873436912e+02 6.2759470542400197e+02 6.2225632072679332e+02 6.1575006518467319e+02 6.0838677644237828e+02 6.0011695348216949e+02 5.9090746502608465e+02 5.8074707813698683e+02 5.6965173036958356e+02 5.5766885866341522e+02 5.4487992821182911e+02 5.3140091035962598e+02 5.1737652805695404e+02 5.0297388535322085e+02 4.8838243467669253e+02 4.7380567703900738e+02 4.5942577591219242e+02 4.4540719029009392e+02 4.3190177595916458e+02 4.1902713681849207e+02 4.0687566388170529e+02 3.9550784956162050e+02 3.8496878893252330e+02 3.7527090820639461e+02 3.6642201175668413e+02 3.5840273429378021e+02 3.5120173964559831e+02 3.4478473444426646e+02 3.3911606958428644e+02 3.3416493237297669e+02 3.2988828603258628e+02 3.2623489884447963e+02 3.2316621883200474e+02 3.2062623352960867e+02 3.1856673808661850e+02 3.1692923754618835e+02 3.1565683468797727e+02 3.1467057415929173e+02 3.1389408718535458e+02 3.1326461601765715e+02 3.1272509124646439e+02 3.1222377892657380e+02 3.1187159954069892e+02 3.1151680003612938e+02 3.1115512555662343e+02 3.1077643529064380e+02 3.1038581544822330e+02 3.0997256133631083e+02 3.0954782772577937e+02 3.0907771366515914e+02 3.0857458017381384e+02 3.0802916600148166e+02 3.0743423920042636e+02 3.0678101183778506e+02 3.0605958396947705e+02 3.0525628132208368e+02 3.0437012345657291e+02 3.0337133152302158e+02 3.0225149107103550e+02 3.0099435050481202e+02 2.9958242059378358e+02 2.9799766519062695e+02 2.9622199335794227e+02 2.9423592646200848e+02 2.9203966318659252e+02 2.8959828806683942e+02 2.8691869072381428e+02 2.8400706951781052e+02 2.8088626211366704e+02 2.7759512659701579e+02 2.7420762633133222e+02 2.7083431066155964e+02 2.6765315801677934e+02 2.6489400149480883e+02 2.6291045045736513e+02 2.6219746035547632e+02 2.6347275989643452e+02 2.6778235071898581e+02 2.7671123108491173e+02 2.9276882408904652e+02 3.2017923827408555e+02 4.9006317744289197e+02 +1.3554642220251895e-03 1.3622685134702947e+05 3.7987448761034175e+05 7.9243457268144423e+05 1.3011445910005409e+06 1.7203279726077178e+06 1.8202057633912528e+06 1.5811590276519854e+06 1.2327557070075818e+06 9.3167209521136538e+05 6.9454010679068521e+05 5.0456104765580781e+05 3.5617621018646733e+05 2.4494804828162497e+05 1.6433559308287603e+05 1.0759557207184650e+05 6.8862400672001517e+04 4.3168496921782738e+04 2.6541728837075752e+04 1.6039689475359381e+04 9.5706970508599898e+03 5.6891986352331041e+03 3.4244657811075044e+03 2.1475779261769258e+03 1.4508744813777648e+03 1.0557292705868686e+03 8.3686656852974761e+02 7.3391113781465060e+02 6.9047329519823836e+02 6.7266340010473505e+02 6.6506207302831490e+02 6.6125524182884408e+02 6.5868696648218497e+02 6.5636440385505068e+02 6.5389830384626100e+02 6.5112120198175421e+02 6.4794238837448347e+02 6.4429550218785459e+02 6.4012073310087703e+02 6.3535976213319975e+02 6.2995523550858343e+02 6.2336838710911763e+02 6.1591389787921037e+02 6.0754165192126379e+02 5.9821810837743089e+02 5.8793189693757336e+02 5.7669915475309188e+02 5.6456790869417125e+02 5.5162063534044307e+02 5.3797474459268187e+02 5.2377675369473104e+02 5.0919583767195223e+02 4.9442379586161047e+02 4.7966664923869672e+02 4.6510881659366123e+02 4.5091679239954777e+02 4.3724431130798035e+02 4.2421043188614999e+02 4.1190868765324024e+02 4.0040031891026223e+02 3.8973097823835707e+02 3.7991324553415353e+02 3.7095502181144951e+02 3.6283670238990749e+02 3.5554681047019568e+02 3.4905062701701115e+02 3.4331205852350217e+02 3.3829990506294473e+02 3.3397058883988342e+02 3.3027223371446479e+02 3.2716579980705234e+02 3.2459457249952203e+02 3.2250974453786739e+02 3.2085209562395710e+02 3.1956402716793525e+02 3.1856561253410047e+02 3.1777954539360496e+02 3.1714229864409509e+02 3.1659610272251194e+02 3.1608858780372594e+02 3.1573204978810850e+02 3.1537285876642210e+02 3.1500670747460737e+02 3.1462332969547856e+02 3.1422787464741577e+02 3.1380950518039708e+02 3.1337951398868228e+02 3.1290358070767854e+02 3.1239421927027138e+02 3.1184205378747413e+02 3.1123976279214833e+02 3.1057844957131726e+02 3.0984809163647407e+02 3.0903484548042172e+02 3.0813771837148693e+02 3.0712656306681822e+02 3.0599286086411712e+02 3.0472015900099098e+02 3.0329075175863142e+02 3.0168637973231591e+02 2.9988872804955037e+02 2.9787807699343500e+02 2.9565462755647758e+02 2.9318303228897867e+02 2.9047026600428302e+02 2.8752260378732745e+02 2.8436316599573973e+02 2.8103129171290118e+02 2.7760185984583035e+02 2.7418678818422745e+02 2.7096625809482401e+02 2.6817294781996713e+02 2.6616484373277962e+02 2.6544302803553921e+02 2.6673411366691397e+02 2.7109705003614272e+02 2.8013645505653261e+02 2.9639281434118180e+02 3.2414252366682967e+02 4.9612048485354006e+02 +1.3638182709021212e-03 1.3608838962042544e+05 3.7949515381428995e+05 7.9171322135568806e+05 1.3003354624621207e+06 1.7204376508913012e+06 1.8225769860495611e+06 1.5860428687683451e+06 1.2392664567797966e+06 9.3889717904827453e+05 7.0182835332573240e+05 5.1138769070192135e+05 3.6218698502697708e+05 2.4997581478096379e+05 1.6835744560350245e+05 1.1068433885295015e+05 7.1148975436710243e+04 4.4805693103729558e+04 2.7677478598926489e+04 1.6803815600627637e+04 1.0069781517498153e+04 6.0061234678829514e+03 3.6207677111894764e+03 2.2674987354976506e+03 1.5244925805189139e+03 1.0998803259998012e+03 8.6259425425006725e+02 7.4994853612991403e+02 7.0199875495040646e+02 6.8220959873771051e+02 6.7377278983910855e+02 6.6961988434799548e+02 6.6690411830512051e+02 6.6450965658351743e+02 6.6199744365448419e+02 6.5918047426393309e+02 6.5596040357121319e+02 6.5226770513298959e+02 6.4804100823954059e+02 6.4322099130522611e+02 6.3774949597941861e+02 6.3108105149952655e+02 6.2353422806799233e+02 6.1505828651852221e+02 6.0561927111857108e+02 5.9520567245926304e+02 5.8383382981510670e+02 5.7155236738436190e+02 5.5844478577161078e+02 5.4462995137389578e+02 5.3025619807366741e+02 5.1549479763595218e+02 5.0053992546762453e+02 4.8560015378074155e+02 4.7086218465758924e+02 4.5649457327028307e+02 4.4265295638846590e+02 4.2945786523234455e+02 4.1700398993140323e+02 4.0535332789556816e+02 3.9455209607375110e+02 3.8461302991970376e+02 3.7554412825844787e+02 3.6732554403624067e+02 3.5994565805672590e+02 3.5336932030694226e+02 3.4755998729737735e+02 3.4248606694529883e+02 3.3810343356446822e+02 3.3435955840382729e+02 3.3121490742182374e+02 3.2861205497224626e+02 3.2650158382029178e+02 3.2482353931412354e+02 3.2351961286044582e+02 3.2250889462640163e+02 3.2171312926653104e+02 3.2106801093912674e+02 3.2051506137808320e+02 3.2000126708751054e+02 3.1964031646992737e+02 3.1927667954273068e+02 3.1890599598980737e+02 3.1851787263755119e+02 3.1811752249417299e+02 3.1769397431311546e+02 3.1725866041690108e+02 3.1677683583760779e+02 3.1626116931330580e+02 3.1570216889695257e+02 3.1509242249298552e+02 3.1442292326073056e+02 3.1368352464947873e+02 3.1286021182289574e+02 3.1195197960170862e+02 3.1092830778984404e+02 3.0978057214214209e+02 3.0849211623617691e+02 3.0704501518449763e+02 3.0542078355929647e+02 3.0360087977869216e+02 3.0156534005804298e+02 2.9931436772346348e+02 2.9681217799502275e+02 2.9406583193015780e+02 2.9108168229012796e+02 2.8788313562617446e+02 2.8451001797749893e+02 2.8103813513446465e+02 2.7758079028215502e+02 2.7432039500821890e+02 2.7149250794423273e+02 2.6945954668750755e+02 2.6872879607993900e+02 2.7003586333218021e+02 2.7445280599797860e+02 2.8360410465740017e+02 3.0006169218906717e+02 3.2815489924216007e+02 5.0225264929113462e+02 +1.3722238077722468e-03 1.3594994814370485e+05 3.7911583272316051e+05 7.9099086972874193e+05 1.2995192972241156e+06 1.7205223569968189e+06 1.8248961607138056e+06 1.5908575080774729e+06 1.2457104208430231e+06 9.4607131874733360e+05 7.0908803604565805e+05 5.1820989410676947e+05 3.6821479898514121e+05 2.5503660703836149e+05 1.7242180991918143e+05 1.1381897132912913e+05 7.3479934544565229e+04 4.6482605680639594e+04 2.8846614000147460e+04 1.7594542480684107e+04 1.0589066878533435e+04 6.3377233194064065e+03 3.8273020334022603e+03 2.3943357163185742e+03 1.6027172005423129e+03 1.1469236767181562e+03 8.8995642099701092e+02 7.6685710629686923e+02 7.1399008527865010e+02 6.9202139155256805e+02 6.8265544582497512e+02 6.7811476428569847e+02 6.7523368824187537e+02 6.7275990108444546e+02 6.7019843652350244e+02 6.6734013000210177e+02 6.6407792947645248e+02 6.6033871895588823e+02 6.5605940214321720e+02 6.5117958872367410e+02 6.4564028644938412e+02 6.3888922964834762e+02 6.3124892392782635e+02 6.2266799817927392e+02 6.1311207637804978e+02 6.0256950824690671e+02 5.9105683773610531e+02 5.7862329386105660e+02 5.6535341405255110e+02 5.5136753936876835e+02 5.3681584295989251e+02 5.2187171941549752e+02 5.0673174974069252e+02 4.9160708904665171e+02 4.7668675103027988e+02 4.6214137709588351e+02 4.4812852967136013e+02 4.3477023083574147e+02 4.2216234160959380e+02 4.1036762584083965e+02 3.9943287179152770e+02 3.8937097236599340e+02 3.8019002538414355e+02 3.7186993839643475e+02 3.6439894801981143e+02 3.5774146788095101e+02 3.5186049885871040e+02 3.4672405172957019e+02 3.4228744595544532e+02 3.3849749187866485e+02 3.3531415495594251e+02 3.3267928952681706e+02 3.3054286070101443e+02 3.2884417034871831e+02 3.2752419113407740e+02 3.2650101796535182e+02 3.2569543487802702e+02 3.2504234779167183e+02 3.2448256108075719e+02 3.2396240969624279e+02 3.2359699183617028e+02 3.2322885394118492e+02 3.2285358199229000e+02 3.2246065428813540e+02 3.2205534841798419e+02 3.2162655737890657e+02 3.2118585484825411e+02 3.2069806599957957e+02 3.2017601629235253e+02 3.1961009628351860e+02 3.1899280212649796e+02 3.1831501548935324e+02 3.1756646422162595e+02 3.1673296003782326e+02 3.1581348515160130e+02 3.1477714180085280e+02 3.1361519888644733e+02 3.1231079380460108e+02 3.1084577978419878e+02 3.0920144257475721e+02 3.0735901107681588e+02 3.0529827441565925e+02 3.0301943827692105e+02 3.0048627513736358e+02 2.9770593336586512e+02 2.9468484436131098e+02 2.9144670441336035e+02 2.8803183254911863e+02 2.8451697292281199e+02 2.8101683127483307e+02 2.7771607703550563e+02 2.7485318490639332e+02 2.7279505859418788e+02 2.7205526240686140e+02 2.7337850923180287e+02 2.7785012712883588e+02 2.8711470536741678e+02 3.0377601360625158e+02 3.3221697302695344e+02 5.0846059560988954e+02 +1.3806811499683330e-03 1.3581152558242399e+05 3.7873653310251771e+05 7.9026754018578876e+05 1.2986961771983777e+06 1.7205824028053642e+06 1.8271637647983208e+06 1.5956032450006262e+06 1.2520874589550737e+06 9.5319383767613012e+05 7.1631802329301159e+05 5.2502625877830712e+05 3.7425822152071551e+05 2.6012917339462833e+05 1.7652775443649385e+05 1.1699891629773578e+05 7.5855086190982547e+04 4.8199336503859435e+04 3.0049439655993814e+04 1.8412285624888820e+04 1.1129001548237804e+04 6.6844228833645611e+03 4.0444360494553503e+03 2.5283873747658163e+03 1.6857830116010998e+03 1.1970305031986093e+03 9.1906317476250763e+02 7.8470122049755594e+02 7.2648263875840860e+02 7.0211736771861695e+02 6.9171962926901915e+02 6.8674494090002929e+02 6.8367858640627662e+02 6.8111707926185591e+02 6.7850280658807333e+02 6.7560151811218179e+02 6.7229624135099766e+02 6.6850978573137252e+02 6.6417713888077299e+02 6.5923676551471192e+02 6.5362880619313512e+02 6.4679410754910487e+02 6.3905915685708021e+02 6.3037194207122525e+02 6.2069766131094775e+02 6.1002452161701922e+02 5.9836927419175527e+02 5.8578176045260022e+02 5.7234756761604683e+02 5.5818852979868723e+02 5.4345668233044614e+02 5.2832756904376356e+02 5.1300020643264406e+02 4.9768836457225814e+02 4.8258339744517747e+02 4.6785805853844755e+02 4.5367185977295640e+02 4.4014833251459669e+02 4.2738452312931298e+02 4.1544397134732645e+02 4.0437404377311339e+02 3.9418779267586939e+02 3.8489341606587692e+02 3.7647057303849562e+02 3.6890735420706284e+02 3.6216773139174069e+02 3.5621424411603596e+02 3.5101450096625899e+02 3.4652325950303430e+02 3.4268666076194745e+02 3.3946416327609023e+02 3.3679689226944839e+02 3.3463418742766294e+02 3.3291459790342788e+02 3.3157836877113044e+02 3.3054258747171946e+02 3.2972706567552297e+02 3.2906591144905758e+02 3.2849920304603665e+02 3.2797261588276598e+02 3.2760267546297621e+02 3.2722998085680956e+02 3.2685006368049540e+02 3.2645227211788347e+02 3.2604194913849619e+02 3.2560785030282011e+02 3.2516169239120381e+02 3.2466786539838984e+02 3.2413935344512203e+02 3.2356642813651195e+02 3.2294149273846307e+02 3.2225531604693134e+02 3.2149749875616152e+02 3.2065367698303538e+02 3.1972282017619438e+02 3.1867364833390059e+02 3.1749732217879159e+02 3.1617677037153209e+02 3.1469362150789698e+02 3.1302892968222278e+02 3.1116369143403398e+02 3.0907744573794344e+02 3.0677040066626063e+02 3.0420588047212408e+02 3.0139112191541653e+02 2.9833263600738621e+02 2.9505441236444034e+02 2.9159726910755398e+02 2.8803890037808731e+02 2.8449543184450425e+02 2.8115381874321764e+02 2.7825548796872829e+02 2.7617188490032436e+02 2.7542293109353432e+02 2.7676255789554597e+02 2.8128952824297858e+02 2.9066878916711829e+02 3.0753634144449450e+02 3.3632936056932635e+02 5.1474526008599889e+02 +1.3891906167789439e-03 1.3567312103289238e+05 3.7835724707230792e+05 7.8954323986598523e+05 1.2978662341940918e+06 1.7206180234629344e+06 1.8293802503977160e+06 1.6002804034454634e+06 1.2583974543999778e+06 9.6026408563642961e+05 7.2351720905162022e+05 5.3183540382318245e+05 3.8031582719716977e+05 2.6525225308350334e+05 1.8067432645750194e+05 1.2022359215403996e+05 7.8274208328179055e+04 4.9955960038824407e+04 3.1286238806329256e+04 1.9257446541412566e+04 1.1690027113295177e+04 7.0466459214506231e+03 4.2725402389065684e+03 2.6699577879223784e+03 1.7739314193139792e+03 1.2503786859512538e+03 9.5003014241970743e+02 8.0354920458362812e+02 7.3951432610902293e+02 7.1251764075131587e+02 7.0097577566732195e+02 6.9551591824948514e+02 6.9224194738638596e+02 6.8958324511810895e+02 6.8691213617894664e+02 6.8396602116500958e+02 6.8061663739209996e+02 6.7678216592024000e+02 6.7239545898256847e+02 6.6739374841609265e+02 6.6171626967141583e+02 6.5479688609706398e+02 6.4696611292631314e+02 6.3817128780616997e+02 6.2837717727785059e+02 6.1757184383369656e+02 6.0577224852733127e+02 5.9302885285484888e+02 5.7942830694451629e+02 5.6509395659950530e+02 5.5017972253094661e+02 5.3486332456205059e+02 5.1934624494664376e+02 5.0384490118510274e+02 4.8855301657620834e+02 4.7364548286184345e+02 4.5928378558254911e+02 4.4559298404722409e+02 4.3267132459979013e+02 4.2058313241126189e+02 4.0937635954168911e+02 3.9906421956155020e+02 3.8965501188036791e+02 3.8112814403808289e+02 3.7347155880516584e+02 3.6664878067745781e+02 3.6062188202846579e+02 3.5535806414067349e+02 3.5081151553320313e+02 3.4692769942720679e+02 3.4366556092825573e+02 3.4096548692839906e+02 3.3877618382144880e+02 3.3703543868923560e+02 3.3568276005983290e+02 3.3463421554845809e+02 3.3380863257105557e+02 3.3313931160818925e+02 3.3256559592539082e+02 3.3203249332459836e+02 3.3165797434353186e+02 3.3128066659152995e+02 3.3089604665383735e+02 3.3049333098827930e+02 3.3007792875713477e+02 3.2963845638231317e+02 3.2918677551644021e+02 3.2868683559025652e+02 3.2815178134813215e+02 3.2757176397045760e+02 3.2693909268555410e+02 3.2624442201850417e+02 3.2547722393420077e+02 3.2462295677662246e+02 3.2368057706850385e+02 3.2261841783842931e+02 3.2142753028882015e+02 3.2009063175909904e+02 3.1858912343096722e+02 3.1690382487216101e+02 3.1501549738469549e+02 3.1290342669403560e+02 3.1056782328558836e+02 3.0797155764188500e+02 3.0512195600666416e+02 3.0202560998873594e+02 2.9870680616571036e+02 2.9520686793398113e+02 2.9160445118819746e+02 2.8801711911358308e+02 2.8463414106200474e+02 2.8169993269142157e+02 2.7959053730677670e+02 2.7883231245283952e+02 2.8018852211761373e+02 2.8477153052341612e+02 2.9426689461719354e+02 3.1134324551680487e+02 3.4049268503130918e+02 5.2110759055862593e+02 +1.3977525294604949e-03 1.3553473646083582e+05 3.7797798475835711e+05 7.8881800097943854e+05 1.2970295350174014e+06 1.7206295585790880e+06 1.8315460884011581e+06 1.6048893220114377e+06 1.2646403057798233e+06 9.6728143811317370e+05 7.3068451350137254e+05 5.3863596719808260e+05 3.8638619673174573e+05 2.7040457721611497e+05 1.8486055318778963e+05 1.2349238960778055e+05 8.0737048946718103e+04 5.1752523217537069e+04 3.2557272829587502e+04 2.0130412057819081e+04 1.2272577612253897e+04 7.4248146251175604e+03 4.5119877776820358e+03 2.8193563027395467e+03 1.8674104344712578e+03 1.3071528220638163e+03 9.8297858166532944e+02 8.2347347809539247e+02 7.5312574374328062e+02 7.2324394560424048e+02 7.1043523293548719e+02 7.0443368490191847e+02 7.0092715256720965e+02 6.9816057650561970e+02 6.9542807170472031e+02 6.9243505824414081e+02 6.8904044013069722e+02 6.8515713909043916e+02 6.8071561986081406e+02 6.7565178006770736e+02 6.6990390676563629e+02 6.6289878129536817e+02 6.5497099306932046e+02 6.4606721962662198e+02 6.3615179002876039e+02 6.2521262028810509e+02 6.1326688393041400e+02 6.0036567030284289e+02 5.8659670573434505e+02 5.7208486657947651e+02 5.5698598242721027e+02 5.4147997617405974e+02 5.2577082648352598e+02 5.1007763114837223e+02 4.9459651217654169e+02 4.7950452606111702e+02 4.6496515638799417e+02 4.5110500929658753e+02 4.3802354591763873e+02 4.2578588653847612e+02 4.1444057587457974e+02 4.0400099075465158e+02 3.9447553320960321e+02 3.8584335608329854e+02 3.7809225244014272e+02 3.7118529386324889e+02 3.6508407970829705e+02 3.5975539877357812e+02 3.5515286330589129e+02 3.5122125009505282e+02 3.4791898423326001e+02 3.4518570494680051e+02 3.4296947737034367e+02 3.4120731704542249e+02 3.3983798688687017e+02 3.3877652217343638e+02 3.3794075403267067e+02 3.3726316550797372e+02 3.3668235589886029e+02 3.3614265721640146e+02 3.3576350297804208e+02 3.3538152494748880e+02 3.3499214400141665e+02 3.3458444324278059e+02 3.3416389884742119e+02 3.3371898637660513e+02 3.3326171414633654e+02 3.3275558557051266e+02 3.3221390800567025e+02 3.3162671071538176e+02 3.3098620772545144e+02 3.3028293787530515e+02 3.2950624280471322e+02 3.2864140088511823e+02 3.2768735554880209e+02 3.2661204806680195e+02 3.2540641876235105e+02 3.2405297103655965e+02 3.2253287583981125e+02 3.2082671530906657e+02 3.1891501259388792e+02 3.1677679703605639e+02 3.1441228156004178e+02 3.1178387726136572e+02 3.0889900097397930e+02 3.0576432590359036e+02 3.0240443926614040e+02 2.9886117599219727e+02 2.9521416564244134e+02 2.9158242672473142e+02 2.8815757136662262e+02 2.8518704101252797e+02 2.8305153384318191e+02 2.8228392310951597e+02 2.8365692103632051e+02 2.8829666159869691e+02 2.9790956693992683e+02 3.1519730268510017e+02 3.4470757728292227e+02 5.2754854657282829e+02 +1.4063672112493816e-03 1.3539637035046227e+05 3.7759874113300903e+05 7.8809183020961005e+05 1.2961862089663306e+06 1.7206172985691463e+06 1.8336617332528660e+06 1.6094303248969961e+06 1.2708159292550574e+06 9.7424529935148719e+05 7.3781888357778324e+05 5.4542660613865068e+05 3.9246791799355089e+05 2.7558486984764412e+05 1.8908544275482802e+05 1.2680467242336257e+05 8.3243326397010343e+04 5.3589045334715709e+04 3.3862780793504986e+04 2.1031553664798626e+04 1.2877078822654334e+04 7.8193489709239529e+03 4.7631540407498314e+03 2.9768972147092982e+03 1.9664745222762858e+03 1.3675442252300877e+03 1.0180354813816355e+03 8.4455069118200697e+02 7.6736030243265634e+02 7.3431973872073377e+02 7.2011032979937227e+02 7.1350475625058834e+02 7.0973785426468885e+02 7.0685138800247148e+02 7.0405233017768580e+02 7.0101008814893225e+02 6.9756899799815017e+02 6.9363600471882694e+02 6.8913889626606772e+02 6.8401211931770615e+02 6.7819296301648728e+02 6.7110102446663279e+02 6.6307501328270098e+02 6.5406093659932708e+02 6.4402267988635788e+02 6.3294801067694618e+02 6.2085431760669667e+02 6.0779332574029536e+02 5.9385385106373599e+02 5.7916231958639139e+02 5.6387649356551719e+02 5.4817852639725061e+02 5.3227492418918860e+02 5.1638749830316374e+02 5.0071479921624683e+02 4.8543607499770889e+02 4.7071683200837856e+02 4.5668524233469464e+02 4.4344199688833794e+02 4.3105302086432090e+02 4.1956745891876176e+02 4.0899885311895076e+02 3.9935570935155687e+02 3.9061692258342583e+02 3.8277013428259556e+02 3.7577795746351802e+02 3.6960151251931092e+02 3.6420717051785522e+02 3.5954796011062462e+02 3.5556796293051650e+02 3.5222507738271588e+02 3.4945818557740540e+02 3.4721470332306131e+02 3.4543086503303414e+02 3.4404467883053826e+02 3.4297013499317967e+02 3.4212405617828256e+02 3.4143809802048457e+02 3.4085010676767428e+02 3.4030373036086814e+02 3.3991988346770984e+02 3.3953317731796074e+02 3.3913897639495826e+02 3.3872622879792158e+02 3.3830047854694936e+02 3.3785005859883046e+02 3.3738712574664703e+02 3.3687473186783205e+02 3.3632634894239436e+02 3.3573188280811115e+02 3.3508345110829634e+02 3.3437147556387799e+02 3.3358516587617157e+02 3.3270961821384833e+02 3.3174376275522394e+02 3.3065514416459507e+02 3.2943459051132010e+02 3.2806438860815234e+02 3.2652547632276259e+02 3.2479819541944926e+02 3.2286282794682711e+02 3.2069814368733950e+02 3.1830435803133417e+02 3.1564341700198128e+02 3.1272282914432094e+02 3.0954935027052096e+02 3.0614787195930990e+02 3.0256074701085470e+02 2.9886859071254787e+02 2.9519189492069739e+02 2.9172464355409761e+02 2.8871734132589211e+02 2.8655539894608944e+02 2.8577828607840252e+02 2.8716828020973975e+02 2.9186545562435072e+02 3.0159735810103837e+02 3.1909909694600640e+02 3.4897467599728463e+02 5.3406909952377657e+02 +1.4150349873741823e-03 1.3525802192953299e+05 3.7721952632105770e+05 7.8736476909478509e+05 1.2953363429246491e+06 1.7205815126215036e+06 1.8357276383656664e+06 1.6139037551595247e+06 1.2769242592104422e+06 9.8115509751579585e+05 7.4491929166689108e+05 5.5220599776304117e+05 3.9855958675129246e+05 2.8079184916012973e+05 1.9334798523967477e+05 1.3015977818136397e+05 8.5792729751157807e+04 5.5465517987120533e+04 3.5202979043125721e+04 2.1961226884701286e+04 1.3503947557410123e+04 8.2306660711974528e+03 5.0264160901610148e+03 3.1428994268514898e+03 2.0713844310353179e+03 1.4317509087100686e+03 1.0553336516387008e+03 8.6686185775338333e+02 7.8226435664934638e+02 7.4577030087023979e+02 7.3001444736235976e+02 7.2273621949379788e+02 7.1867800175311720e+02 7.1565814498664213e+02 7.1278670642794714e+02 7.0969261296668162e+02 7.0620368708209276e+02 7.0222008308730324e+02 6.9766658079405909e+02 6.9247604155194085e+02 6.8658469988159834e+02 6.7940486247082117e+02 6.7127940482734186e+02 6.6215365280512435e+02 6.5199104193387689e+02 6.4077918918665375e+02 6.2853570096093358e+02 6.1531294599541343e+02 6.0120084356202256e+02 5.8632738866854072e+02 5.7085230033155926e+02 5.5495999021864918e+02 5.3885952330411317e+02 5.2277545821281876e+02 5.0690880402203754e+02 4.9144102753528028e+02 4.7653968292241780e+02 4.6233452757095108e+02 4.4892749734930169e+02 4.3638533227159331e+02 4.2475778430647739e+02 4.1405856276231395e+02 4.0429627862878226e+02 3.9544956577314997e+02 3.8750591215406581e+02 3.8042746648597887e+02 3.7417486417995889e+02 3.6871405326104667e+02 3.6399747136876061e+02 3.5996849613985461e+02 3.5658449253595711e+02 3.5378357598015725e+02 3.5151250478563037e+02 3.4970672253079653e+02 3.4830347325552668e+02 3.4721568941622422e+02 3.4635917286988041e+02 3.4566474174746475e+02 3.4506948004865671e+02 3.4451634326408328e+02 3.4412774560789558e+02 3.4373625278203798e+02 3.4333717218339228e+02 3.4291931523773843e+02 3.4248829465077318e+02 3.4203229900990880e+02 3.4156363542035729e+02 3.4104489863545126e+02 3.4048972729629418e+02 3.3988790228452274e+02 3.3923144366898754e+02 3.3851065459996676e+02 3.3771461120666208e+02 3.3682822519962809e+02 3.3585041333438687e+02 3.3474831876166871e+02 3.3351265590422668e+02 3.3212549230359048e+02 3.3056752985748795e+02 3.2881886698171377e+02 3.2685954163616032e+02 3.2466806082947005e+02 3.2224464244628592e+02 3.1955076168098026e+02 3.1659401992317078e+02 3.1338125661553931e+02 3.0993767146871403e+02 3.0630614156812663e+02 3.0256828013529969e+02 2.9884607062630721e+02 2.9533589812507211e+02 2.9229136856021665e+02 2.9010266353898714e+02 2.8931593084243241e+02 2.9072313169679433e+02 2.9547845336126397e+02 3.0533082689277813e+02 3.2304921951855533e+02 3.5329462774619475e+02 5.4067023280319574e+02 +1.4237561850679366e-03 1.3511969128492509e+05 3.7684033785118046e+05 7.8663682633858081e+05 1.2944800276379534e+06 1.7205225030503767e+06 1.8377442893290096e+06 1.6183099607838555e+06 1.2829652440054922e+06 9.8801028608652146e+05 7.5198473555337824e+05 5.5897283932337945e+05 4.0465980730742950e+05 2.8602422862129670e+05 1.9764715371853896e+05 1.3355701906357333e+05 8.8384919204620266e+04 5.7381905055479248e+04 3.6578060826537112e+04 2.2919770665808333e+04 1.4153590972418646e+04 8.6591795216515129e+03 5.3021521496804535e+03 3.3176860896529461e+03 2.1824070003258594e+03 1.4999775507000900e+03 1.0950118025888928e+03 8.9049248414594751e+02 7.9788733411467081e+02 7.5762284253417715e+02 7.4016209379118197e+02 7.3213578133359363e+02 7.2775186927270477e+02 7.2458347898173270e+02 7.2163308106527165e+02 7.1848418205343785e+02 7.1494591309479597e+02 7.1091071628474458e+02 7.0629998443915827e+02 7.0104483905437121e+02 6.9508039500032237e+02 6.8781155792950540e+02 6.7958541443309650e+02 6.7034659753622066e+02 6.6005808620755408e+02 6.4870734467960222e+02 6.3631219977476735e+02 6.2292567195794970e+02 6.0863879758237113e+02 5.9358116024320213e+02 5.7791446011327889e+02 5.6182539525146785e+02 5.4552562131624347e+02 5.2924247831171670e+02 5.1317946442000425e+02 4.9752029267654672e+02 4.8243459040270329e+02 4.6805371988060159e+02 4.5448087729556187e+02 4.4178362751141401e+02 4.3001233727276019e+02 4.1918088515189822e+02 4.0929798850110797e+02 4.0034201682573905e+02 3.9230030263281645e+02 3.8513452453515748e+02 3.7880482686694876e+02 3.7327672922670138e+02 3.6850207073063604e+02 3.6442351606996033e+02 3.6099788991790132e+02 3.5816253131857991e+02 3.5586353281776508e+02 3.5403553733114410e+02 3.5261501540914816e+02 3.5151382870997628e+02 3.5064674580746345e+02 3.4994373711324084e+02 3.4934111506741351e+02 3.4878113422926850e+02 3.4838772698251921e+02 3.4799138819852465e+02 3.4758736748607708e+02 3.4716433790772186e+02 3.4672798170579648e+02 3.4626634131146625e+02 3.4579187600120218e+02 3.4526671774630353e+02 3.4470467391063102e+02 3.4409539887398591e+02 3.4343081391959322e+02 3.4270110216075443e+02 3.4189520449901164e+02 3.4099784590256746e+02 3.4000792953495449e+02 3.3889219206464981e+02 3.3764123285806795e+02 3.3623689746975947e+02 3.3465964890532950e+02 3.3288933921649374e+02 3.3090575925206639e+02 3.2868714999276909e+02 3.2623373184530737e+02 3.2350650334733638e+02 3.2051315988162651e+02 3.1726062555709836e+02 3.1377441203306080e+02 3.1009792717304458e+02 3.0631379449536939e+02 3.0254550753003014e+02 2.9899188226473780e+02 2.9590966425935056e+02 2.9369386511042296e+02 2.9289739343369291e+02 2.9432201413594180e+02 2.9913620225892862e+02 3.0911053901892154e+02 3.2704826893384063e+02 3.5766808709792588e+02 5.4735294194747848e+02 +1.4325311335804990e-03 1.3498137984061401e+05 3.7646117989399470e+05 7.8590800634807989e+05 1.2936173486035906e+06 1.7204405547926463e+06 1.8397121183324540e+06 1.6226493192111230e+06 1.2889388666911081e+06 9.9481034622433863e+05 7.5901424012031057e+05 5.6572584844473726e+05 4.1076719339046534e+05 2.9128071801479615e+05 2.0198190530302987e+05 1.3699568266472439e+05 9.1019526515773061e+04 5.9338142727923252e+04 3.7988195958714707e+04 2.3907506804224951e+04 1.4826405886806926e+04 9.1052987476604449e+03 5.5907410673088107e+03 3.5015842226836471e+03 2.2998149487115484e+03 1.5724354416516360e+03 1.1372146115014953e+03 9.1553269262308447e+02 8.1428186504926362e+02 7.6990661159322326e+02 7.5056898206804726e+02 7.4171181843637851e+02 7.3696408608996865e+02 7.3363020435513238e+02 7.3059342925135832e+02 7.2738639646252989e+02 7.2379711357479880e+02 7.1970926932318480e+02 7.1504043720762365e+02 7.0971982138503608e+02 7.0368134247394914e+02 6.9632238946105542e+02 6.8799430451296109e+02 6.7864101549887334e+02 6.6822503788754386e+02 6.5673368088231882e+02 6.4418499439390575e+02 6.3063265875655236e+02 6.1616884137530781e+02 6.0092473426670040e+02 5.8506404346414251e+02 5.6877578189340807e+02 5.5227422811434928e+02 5.3578953805198284e+02 5.1952772987979120e+02 5.0367479070209458e+02 4.8840244665097964e+02 4.7384368473403174e+02 4.6010297700500905e+02 4.4724872332832427e+02 4.3533191277614736e+02 4.2436659522887061e+02 4.1436159567947999e+02 4.0529501596025011e+02 3.9715403116308920e+02 3.8989984392118384e+02 3.8349210131824833e+02 3.7789588907648658e+02 3.7306244017963502e+02 3.6893369731003060e+02 3.6546593791928495e+02 3.6259571485850211e+02 3.6026844653046254e+02 3.5841796523756989e+02 3.5697995851859116e+02 3.5586520409654776e+02 3.5498742462774163e+02 3.5427573246221425e+02 3.5366565905743164e+02 3.5309874945357342e+02 3.5270047306006484e+02 3.5229922830164071e+02 3.5189020628924158e+02 3.5146194000985957e+02 3.5102018210614659e+02 3.5055282704253841e+02 3.5007248814826926e+02 3.4954082888653835e+02 3.4897182743131464e+02 3.4835501009229938e+02 3.4768219814583102e+02 3.4694345317942219e+02 3.4612757919297513e+02 3.4521911209995227e+02 3.4421694130026344e+02 3.4308739194970155e+02 3.4182094693150566e+02 3.4039922706409698e+02 3.3880245350051484e+02 3.3701022887819101e+02 3.3500209387429459e+02 3.3275602014645887e+02 3.3027223065150889e+02 3.2751124137175515e+02 3.2448084284461174e+02 3.2118804489402038e+02 3.1765867499193376e+02 3.1393667835460781e+02 3.1010570131009194e+02 3.0629076616715997e+02 3.0269314992437802e+02 2.9957277666477415e+02 2.9732954779674901e+02 2.9652321651172059e+02 2.9796547282683309e+02 3.0283925653612960e+02 3.1293706717764212e+02 3.3109685112438649e+02 3.6209571671548156e+02 5.5411823478739655e+02 +1.4413601641909695e-03 1.3484308547525801e+05 3.7608205066815455e+05 7.8517833479381155e+05 1.2927484260142208e+06 1.7203359134493833e+06 1.8416315920207326e+06 1.6269221877975054e+06 1.2948451118833190e+06 1.0015547826377776e+06 7.6600685762114963e+05 5.7246376357612165e+05 4.1688036921592714e+05 2.9656002440257563e+05 2.0635118217800598e+05 1.4047503283001360e+05 9.3696155480042609e+04 6.1334139564668956e+04 3.9433530523740606e+04 2.4924739393954969e+04 1.5522778117712673e+04 9.5694283508293356e+03 5.8925617670227784e+03 3.6949243186694816e+03 2.4238866411737040e+03 1.6493424131572940e+03 1.1820927772466898e+03 9.4207733897922606e+02 8.3150391062720655e+02 7.8265300303892298e+02 7.6125211071736624e+02 7.5147343068376267e+02 7.4631966870003589e+02 7.4280133644637419e+02 7.3966983033427562e+02 7.3640091385793460e+02 7.3275876034539067e+02 7.2861713139130643e+02 7.2388928879763591e+02 7.1850231580007357e+02 7.1238885316596634e+02 7.0493865191985515e+02 6.9650735337777553e+02 6.8703816701679557e+02 6.7649313749815349e+02 6.6485941657671515e+02 6.5215527991231443e+02 6.3843507594226560e+02 6.2379211726513131e+02 6.0835922440494551e+02 5.9230213427149124e+02 5.7581220348961540e+02 5.5910636614556256e+02 5.4241762905616997e+02 5.2595456165922872e+02 5.0990545331266969e+02 4.9444415493226285e+02 4.7970529833023903e+02 4.6579464716594578e+02 4.5278144658089104e+02 4.4071731561623488e+02 4.2961647752993105e+02 4.1948786623957267e+02 4.1030931255649909e+02 4.0206783216392830e+02 3.9472414576544401e+02 3.8823739694075243e+02 3.8257223201427780e+02 3.7767927013349225e+02 3.7349972279149000e+02 3.6998931319673142e+02 3.6708379806867032e+02 3.6472791318550156e+02 3.6285467016298571e+02 3.6139896388805249e+02 3.6027047485060132e+02 3.5938186699995822e+02 3.5866138415608151e+02 3.5804376725451652e+02 3.5746984312471744e+02 3.5706663729122158e+02 3.5666042579905053e+02 3.5624634054220314e+02 3.5581277270045342e+02 3.5536554618883270e+02 3.5489240567418562e+02 3.5440612044392344e+02 3.5386787965275988e+02 3.5329183440015885e+02 3.5266738133957006e+02 3.5198624050034391e+02 3.5123835044053021e+02 3.5041237656165703e+02 3.4949266338175687e+02 3.4847808636334941e+02 3.4733455405723009e+02 3.4605243141871472e+02 3.4461311174556738e+02 3.4299657134432613e+02 3.4118216034825230e+02 3.3914916616310427e+02 3.3687528778999672e+02 3.3436075076262432e+02 3.3156558253609109e+02 3.2849766997977696e+02 3.2516410969350994e+02 3.2159104887357535e+02 3.1782297674536795e+02 3.1394457511436377e+02 3.1008241400517414e+02 3.0644026190578171e+02 3.0328126079646069e+02 3.0101026246205475e+02 3.0019394944724183e+02 3.0165405981237359e+02 3.0658817726559693e+02 3.1681099114992901e+02 3.3519557951553253e+02 3.6657818745552839e+02 5.6096713159994931e+02 +1.4502436102202000e-03 1.3470480816086612e+05 3.7570295683301450e+05 7.8444784177198191e+05 1.2918733249181141e+06 1.7202088966253935e+06 1.8435031695328986e+06 1.6311289496402622e+06 1.3006839916805394e+06 1.0082431222769965e+06 7.7296166741296032e+05 5.7918534439331538e+05 4.2299797031794663e+05 3.0186085311522830e+05 2.1075391264330462e+05 1.4399431051244077e+05 9.6414382436146610e+04 6.3369776602923695e+04 4.0914186615610415e+04 2.5971754306666338e+04 1.6243081830923600e+04 1.0051967457523184e+04 6.2079926911037937e+03 3.8980399308824699e+03 2.5549058365195087e+03 1.7309227480430789e+03 1.2298030615338678e+03 9.7022612354234116e+02 8.4961289007115170e+02 7.9589567039966073e+02 7.7222984740629977e+02 7.6143049723620118e+02 7.5582405522492968e+02 7.5210011119770820e+02 7.4886447841571555e+02 7.4552945396697135e+02 7.4183236226332315e+02 7.3763571724803353e+02 7.3284790934950115e+02 7.2739366770115021e+02 7.2120425501788088e+02 7.1366165664858238e+02 7.0512585545950401e+02 6.9553932823651485e+02 6.8486364110632451e+02 6.7308578579450568e+02 6.6022426636184809e+02 6.4633410767192288e+02 6.3150978182980248e+02 6.1588575820727931e+02 5.9962982992124000e+02 5.8293572649574173e+02 5.6602307056969653e+02 5.4912775526828182e+02 5.3246093295338335e+02 5.1621322377021477e+02 5.0056062971535584e+02 4.8563944772830547e+02 4.7155674900780218e+02 4.5838263437008220e+02 4.4616936055788506e+02 4.3493132629962861e+02 4.2467757573666108e+02 4.1538566526641006e+02 4.0704244914139576e+02 3.9960816010944819e+02 3.9304143191554908e+02 3.8730646589311118e+02 3.8235325954947757e+02 3.7812228389215494e+02 3.7456870077507108e+02 3.7162746072114305e+02 3.6924260829621699e+02 3.6734632423027449e+02 3.6587270099961228e+02 3.6473030839947768e+02 3.6383073872522215e+02 3.6310135667190997e+02 3.6247610299615536e+02 3.6189507751871554e+02 3.6148688120518989e+02 3.6107564146769437e+02 3.6065643025537804e+02 3.6021749518636904e+02 3.5976473233252204e+02 3.5928573470889643e+02 3.5879342948860329e+02 3.5824852564902949e+02 3.5766534935411948e+02 3.5703316599521031e+02 3.5634359310136017e+02 3.5558644467607144e+02 3.5475024580693758e+02 3.5381914724611079e+02 3.5279201034248950e+02 3.5163432188686818e+02 3.5033632744355009e+02 3.4887918997279343e+02 3.4724263790002658e+02 3.4540576572780549e+02 3.4334760445412263e+02 3.4104557704525575e+02 3.3849991164240754e+02 3.3567014112581774e+02 3.3256424988809420e+02 3.2918942238047026e+02 3.2557212948355857e+02 3.2175741116912138e+02 3.1783099754681177e+02 3.1392102552728335e+02 3.1023378594496472e+02 3.0703567853825240e+02 3.0473656678231538e+02 3.0391014840402062e+02 3.0538833396071237e+02 3.1038353245693293e+02 3.2073289788528763e+02 3.3934507511767964e+02 3.7111617847077343e+02 5.6790066526193777e+02 +1.4591818070433785e-03 1.3456654876991047e+05 3.7532389746497100e+05 7.8371653505111928e+05 1.2909921542037558e+06 1.7200597502513048e+06 1.8453273156481409e+06 1.6352699897699612e+06 1.3064555341648944e+06 1.0148749189551678e+06 7.7987777465190506e+05 5.8588937245054787e+05 4.2911864414138888e+05 3.0718190877613658e+05 2.1518901215805043e+05 1.4755273463863149e+05 9.9173756803561395e+04 6.5444907501961068e+04 4.2430262118084051e+04 2.7048818702020308e+04 1.6987678909086742e+04 1.0553309071068441e+04 6.5374112344869591e+03 4.1112672447553223e+03 2.6931614150736996e+03 1.8174070714296861e+03 1.2805083162730564e+03 1.0000836948604184e+03 8.6867180583312359e+02 8.0967063855434685e+02 7.8352201528541764e+02 7.7159373540589058e+02 7.6548314208380702e+02 7.6153000636828199e+02 7.5817969391335168e+02 7.5477380459925723e+02 7.5101946827619429e+02 7.4676646878566021e+02 7.4191769027840382e+02 7.3639524113284881e+02 7.3012889338416755e+02 7.2249273174344444e+02 7.1385112154181741e+02 7.0414579134664632e+02 6.9333782052450692e+02 6.8141403801436763e+02 6.6839317890576217e+02 6.5433095289421863e+02 6.3932300608302126e+02 6.2350547728446691e+02 6.0704824147425995e+02 5.9014743064052891e+02 5.7302538942389072e+02 5.5592093310940618e+02 5.3904782904254773e+02 5.2259905704369100e+02 5.0675279681085783e+02 4.9164703098551411e+02 4.7739015443101732e+02 4.6405313416435985e+02 4.5168887245617805e+02 4.4031194561670026e+02 4.2993150932677213e+02 4.2052484212798907e+02 4.1207863479951607e+02 4.0455262602716431e+02 3.9790493330776695e+02 3.9209930731993649e+02 3.8708511602868327e+02 3.8280208053976281e+02 3.7920479414936153e+02 3.7622739099313776e+02 3.7381321572819024e+02 3.7189360787196080e+02 3.7040184761214005e+02 3.6924538042139648e+02 3.6833471383732649e+02 3.6759632270251717e+02 3.6696333782168239e+02 3.6637512310058736e+02 3.6596187451137553e+02 3.6554554425523258e+02 3.6512114359927426e+02 3.6467677482495588e+02 3.6421840705617933e+02 3.6373347977808356e+02 3.6323508000157727e+02 3.6268343058479883e+02 3.6209303492228980e+02 3.6145302551759170e+02 3.6075491612908030e+02 3.5998839466430826e+02 3.5914184415730494e+02 3.5819921919635368e+02 3.5715936683807473e+02 3.5598734689433559e+02 3.5467328405753659e+02 3.5319810809665591e+02 3.5154129648725387e+02 3.4968168493368046e+02 3.4759804484992179e+02 3.4526751975102593e+02 3.4269034041272414e+02 3.3982553902063910e+02 3.3668119869533689e+02 3.3326459282820326e+02 3.2960251999348418e+02 3.2574057773060173e+02 3.2176555743794620e+02 3.1780718231981069e+02 3.1407429679641052e+02 3.1083659871957207e+02 3.0850902532801086e+02 3.0767237642144534e+02 3.0916886105037042e+02 3.1422589714261682e+02 3.2470338158947158e+02 3.4354596661898285e+02 3.7571037730968305e+02 5.7491988140546880e+02 +1.4681750921026896e-03 1.3442830608384195e+05 3.7494487370081863e+05 7.8298442718803429e+05 1.2901050012929584e+06 1.7198887707459473e+06 1.8471044705270575e+06 1.6393456821162128e+06 1.3121597777173212e+06 1.0214497501769024e+06 7.8675430974727159e+05 5.9257465175959317e+05 4.3524105057351064e+05 3.1252189631586371e+05 2.1965538438208608e+05 1.5114950298196895e+05 1.0197380164854629e+05 6.7559358727033046e+04 4.3981830523549543e+04 2.8156180569098968e+04 1.7756918338876669e+04 1.1073839429168624e+04 6.8811931725362674e+03 4.3349446347432795e+03 2.8389470870758082e+03 1.9090322225573077e+03 1.3343774964483041e+03 1.0317597453621690e+03 8.8874736627763946e+02 8.2401641756132460e+02 7.9514998191952884e+02 7.8197476232841450e+02 7.7530332298818291e+02 7.7109476440549668e+02 7.6761793617949513e+02 7.6413582829634527e+02 7.6032167082903993e+02 7.5601085676935077e+02 7.5110004520492771e+02 7.4550841932147762e+02 7.3916413139996814e+02 7.3143322232429887e+02 7.2268447899250248e+02 7.1285886479011015e+02 7.0191696351989879e+02 6.8984543836392822e+02 6.7666325803155553e+02 6.6242682553965324e+02 6.4723297565632288e+02 6.3121953748425096e+02 6.1455849383509724e+02 5.9744840909776076e+02 5.8011438378152172e+02 5.6279819163545619e+02 5.4571624744534370e+02 5.2906391995443619e+02 5.1302159351302703e+02 4.9772895729123047e+02 4.8329574614108162e+02 4.6979380393062661e+02 4.5727668637802230e+02 4.4575914951311739e+02 4.3525046188058099e+02 4.2572762068491835e+02 4.1717715115535646e+02 4.0955829173355153e+02 4.0282863717538305e+02 3.9695148176588992e+02 3.9187555592344262e+02 3.8753982131735057e+02 3.8389829539045206e+02 3.8088428557080812e+02 3.7844042780154359e+02 3.7649720993365719e+02 3.7498708986387356e+02 3.7381637494851407e+02 3.7289447470143722e+02 3.7214696325637550e+02 3.7150615157236797e+02 3.7091065862321858e+02 3.7049229519726214e+02 3.7007081137796598e+02 3.6964115700436759e+02 3.6919128722413831e+02 3.6872724511785418e+02 3.6823631474099943e+02 3.6773174491931826e+02 3.6717326637509512e+02 3.6657556192557411e+02 3.6592762954137442e+02 3.6522087792526060e+02 3.6444486732576337e+02 3.6358783696637670e+02 3.6263354283966987e+02 3.6158081753142932e+02 3.6039428858887652e+02 3.5906395833532468e+02 3.5757052045952179e+02 3.5589319837799280e+02 3.5401056579272404e+02 3.5190113131821005e+02 3.4954175555636357e+02 3.4693267194878752e+02 3.4403240578769834e+02 3.4084914014372879e+02 3.3739023844959638e+02 3.3368283103150168e+02 3.2977307990335396e+02 3.2574885089659443e+02 3.2174147315875842e+02 3.1796237632074633e+02 3.1468459720292151e+02 3.1232820964893159e+02 3.1148120349908424e+02 3.1299621385334558e+02 3.1811585346381503e+02 3.2872304381490557e+02 3.4779889047956044e+02 3.8036148002100560e+02 5.8202583857540549e+02 +1.4772238049200550e-03 1.3429008017431098e+05 3.7456588788981520e+05 7.8225154898099904e+05 1.2892119562088009e+06 1.7196962223697423e+06 1.8488351227544972e+06 1.6433564286873469e+06 1.3177967772034931e+06 1.0279672164365870e+06 7.9359042792589648e+05 5.9924000926691911e+05 4.4136386256897839e+05 3.1787952195589052e+05 2.2415192220845129e+05 1.5478379304710537e+05 1.0481401428046933e+05 6.9712929771285271e+04 4.5568940790759079e+04 2.9294068300585161e+04 1.8551135618443663e+04 1.1613937368245191e+04 7.2397120837317507e+03 4.5694122074349143e+03 2.9925610822479443e+03 2.0060411072429802e+03 1.3915856579440454e+03 1.0653690982847006e+03 9.0991010526994194e+02 8.3897411712969256e+02 8.0713675063097992e+02 7.9258615940892582e+02 7.8529153030825159e+02 7.8079841704535204e+02 7.7718181724810609e+02 7.7361746965422424e+02 7.6974060964588466e+02 7.6537038278122623e+02 7.6039641098342315e+02 7.5473460527055033e+02 7.4831135036365345e+02 7.4048449082880700e+02 7.3162727201273071e+02 7.2167987348923464e+02 7.1060237402589132e+02 6.9838126782077143e+02 6.8503575974826913e+02 6.7062295471342827e+02 6.5524089098748334e+02 6.3902910907645219e+02 6.2216172592997464e+02 6.0483976865350337e+02 5.8729112791750288e+02 5.6976057269418493e+02 5.5246719807051284e+02 5.3560879132542311e+02 5.1936796874416689e+02 5.0388614710815062e+02 4.8927441778105185e+02 4.7560551226255069e+02 4.6293364773187716e+02 4.5127376209695461e+02 4.4063523810847568e+02 4.3099478810107905e+02 4.2233876965273066e+02 4.1462591470085601e+02 4.0781328868048678e+02 4.0186372367372206e+02 3.9672530444435500e+02 3.9233622356951190e+02 3.8864991524973181e+02 3.8559884975415179e+02 3.8312494539621775e+02 3.8115782777553778e+02 3.7962912237454208e+02 3.7844398446809851e+02 3.7751071211844686e+02 3.7675396776046472e+02 3.7610523249208484e+02 3.7550237122935681e+02 3.7507882963207260e+02 3.7465212842418725e+02 3.7421715526334322e+02 3.7376171634208441e+02 3.7329192961645725e+02 3.7279492178784062e+02 3.7228410549694331e+02 3.7171871323927348e+02 3.7111360947690895e+02 3.7045765597917693e+02 3.6974215509319646e+02 3.6895653782734468e+02 3.6808889781139618e+02 3.6712278998604859e+02 3.6605703228103124e+02 3.6485581463237719e+02 3.6350901547366942e+02 3.6199708949104485e+02 3.6029900289565256e+02 3.5839306414006779e+02 3.5625751578599574e+02 3.5386893201835380e+02 3.5122754897308795e+02 3.4829137877690442e+02 3.4506870568584299e+02 3.4156698428862961e+02 3.3781368077355216e+02 3.3385552861995899e+02 3.2978148140094748e+02 3.2572449409792142e+02 3.2189861357055503e+02 3.1858025696827303e+02 3.1619469836016947e+02 3.1533720668331136e+02 3.1687097222236139e+02 3.2205399075745248e+02 3.3279249354928015e+02 3.5210449102671112e+02 3.8507019125666534e+02 5.8921960838870677e+02 +1.4863282871099507e-03 1.3415187049687217e+05 3.7418694439514191e+05 7.8151790852212126e+05 1.2883131136803376e+06 1.7194823646364307e+06 1.8505196810544482e+06 1.6473026269011667e+06 1.3233666048264129e+06 1.0344269412569240e+06 8.0038531167470524e+05 6.0588429495838087e+05 4.4748576700267592e+05 3.2325349413113203e+05 2.2867750878754360e+05 1.5845476297312015e+05 1.0769386687385556e+05 7.1905393414083432e+04 4.7191617241308093e+04 3.0462690299120855e+04 1.9370652186599866e+04 1.2173973696285708e+04 7.6133387687420254e+03 4.8150113320222317e+03 3.1543058211022530e+03 2.1086825309342639e+03 1.4523139398079920e+03 1.1010317852012020e+03 9.3223449805375208e+02 8.5458756130723737e+02 8.1950705404728478e+02 8.0344153949419797e+02 7.9545527885704610e+02 7.9064531170842940e+02 7.8687411677349485e+02 7.8322076336764917e+02 7.7927797592351715e+02 7.7484658138649559e+02 7.6980824884977380e+02 7.6407522240980722e+02 7.5757195015993659e+02 7.4964791731237483e+02 7.4068086188678524e+02 7.3061015907463070e+02 7.1939537235581827e+02 7.0702282342138631e+02 6.9351195578967634e+02 6.7892058488961493e+02 6.6334796750902080e+02 6.4693537693353164e+02 6.2985909088255949e+02 6.1232262987853471e+02 5.9455670947629642e+02 5.7680913108709103e+02 5.5930170337490608e+02 5.4223466213123447e+02 5.2579288319830391e+02 5.1011953231180240e+02 4.9532707406926062e+02 4.8148913851460230e+02 4.6866061239431457e+02 4.5685661767961341e+02 4.4608665267866297e+02 4.3632714128094392e+02 4.2756427128066963e+02 4.1975626176981837e+02 4.1285964220219853e+02 4.0683677656860181e+02 4.0163509577028969e+02 3.9719201351101844e+02 3.9346037326550243e+02 3.9037179756225845e+02 3.8786747805565790e+02 3.8587616737856280e+02 3.8432864834944627e+02 3.8312891002659597e+02 3.8218412542682665e+02 3.8141803416230647e+02 3.8076127733177634e+02 3.8015095655570968e+02 3.7972217266656497e+02 3.7929018945516776e+02 3.7884983163106585e+02 3.7838875459126643e+02 3.7791315209392519e+02 3.7740999153918233e+02 3.7689285140830123e+02 3.7632045980501726e+02 3.7570786508197864e+02 3.7504379112221005e+02 3.7431943259819889e+02 3.7352408967824078e+02 3.7264570859549133e+02 3.7166764074843752e+02 3.7058868922625396e+02 3.6937260093743419e+02 3.6800912889105354e+02 3.6647848580881009e+02 3.6475937751104829e+02 3.6282984391668009e+02 3.6066785823768566e+02 3.5824970469602385e+02 3.5557562215200642e+02 3.5260310321499730e+02 3.4934053457819675e+02 3.4579546311519147e+02 3.4199569503651480e+02 3.3798854236480770e+02 3.3386405988720060e+02 3.2975684855806060e+02 3.2588360487876702e+02 3.2252416820129145e+02 3.2010907722808548e+02 3.1924097015142945e+02 3.2079372317652917e+02 3.2604090564463343e+02 3.3691234730676615e+02 3.5646342055148409e+02 3.8983722437837611e+02 5.9650227569584877e+02 +1.4954888823923041e-03 1.3401367677140713e+05 3.7380804511060572e+05 7.8078352219085407e+05 1.2874085352433915e+06 1.7192474741992503e+06 1.8521586345053781e+06 1.6511846878015941e+06 1.3288693548470673e+06 1.0408285738167868e+06 8.0713817017286574e+05 6.1250638088274607e+05 4.5360546553961968e+05 3.2864252435211523e+05 2.3323101855555238e+05 1.6216155245817718e+05 1.1061280711789710e+05 7.4136496014718083e+04 4.8849859494785269e+04 3.1662234617486709e+04 2.0215774874729115e+04 1.2754310575618680e+04 8.0024406673715112e+03 5.0720841593052273e+03 3.3244875685993693e+03 2.2172110123677576e+03 1.5167495304972765e+03 1.1388731134467050e+03 9.5579907280310317e+02 8.7090340296403599e+02 8.3228744964315263e+02 8.1455561670295981e+02 8.0580271211258309e+02 8.0064013976504043e+02 7.9669779823142244e+02 7.9294784305789369e+02 7.8893551697727492e+02 7.8444102254289930e+02 7.7933704569542249e+02 7.7353171532002864e+02 7.6694734971303637e+02 7.5892489977364119e+02 7.4984662724474185e+02 7.3965108011956170e+02 7.2829729542461860e+02 7.1577141847357223e+02 7.0209313381629897e+02 6.8732097610808125e+02 6.7155543584085660e+02 6.5493954071754467e+02 6.3765175619791160e+02 6.1989812730444260e+02 6.0191222963711573e+02 5.8394493473246894e+02 5.6622079851751710e+02 5.4894253564897792e+02 5.3229730948980171e+02 5.1643005633234702e+02 5.0145463093772838e+02 4.8744557293333185e+02 4.7445844684144782e+02 4.6250856090040361e+02 4.5160553034319889e+02 4.4172548698953818e+02 4.3285444668959639e+02 4.2495010926789888e+02 4.1796846144926485e+02 4.1187139317230026e+02 4.0660567315836147e+02 4.0210792633530860e+02 3.9833039787139580e+02 3.9520385183956489e+02 3.9266874409270616e+02 3.9065294344838918e+02 3.8908637968492297e+02 3.8787186133353293e+02 3.8691542260732450e+02 3.8613986903412075e+02 3.8547499145236611e+02 3.8485711883293982e+02 3.8442302773958369e+02 3.8398569710901882e+02 3.8353988793040179e+02 3.8307310293932551e+02 3.8259161263721364e+02 3.8208222315045236e+02 3.8155868085108295e+02 3.8097920320886078e+02 3.8035902474306619e+02 3.7968672974187638e+02 3.7895340387046826e+02 3.7814821483538543e+02 3.7725895964826839e+02 3.7626878364421174e+02 3.7517647488539103e+02 3.7394533177059014e+02 3.7256498032774715e+02 3.7101538831756756e+02 3.6927499794473698e+02 3.6732157726783686e+02 3.6513282681366707e+02 3.6268473725027178e+02 3.5997755019221569e+02 3.5696823230246412e+02 3.5366527397713594e+02 3.5007631551843320e+02 3.4622950736980147e+02 3.4217274726388968e+02 3.3799720484111145e+02 3.3383914741621061e+02 3.2991795394768519e+02 3.2651692838080470e+02 3.2407193925708299e+02 3.2319308530028138e+02 3.2476506098869368e+02 3.3007720211885385e+02 3.4108322922081754e+02 3.6087633940525376e+02 3.9466330156277382e+02 6.0387493874382972e+02 +1.5047059366054703e-03 1.3387550037878568e+05 3.7342918655145570e+05 7.8004841464202281e+05 1.2864983317673302e+06 1.7189918043873035e+06 1.8537524228023915e+06 1.6550030252665605e+06 1.3343051306786356e+06 1.0471717852562362e+06 8.1384823801870609e+05 6.1910516124667344e+05 4.5972167520526785e+05 3.3404532805562852e+05 2.3781131825759972e+05 1.6590328369525063e+05 1.1357025888915405e+05 7.6405957840490897e+04 5.0543642441788121e+04 3.2892868632371988e+04 2.1086795382799381e+04 1.3355300917363003e+04 8.4073812748069813e+03 5.3409731303506142e+03 3.5034160708818663e+03 2.3318865779497569e+03 1.5850856176719774e+03 1.1790237228241840e+03 9.8068651721144215e+02 8.8797123760183001e+02 8.4550641700735287e+02 8.2594427883645199e+02 8.1634265090527492e+02 8.1078796672180795e+02 8.0665602644166881e+02 8.0280095092739009e+02 7.9871504136373051e+02 7.9415531428098575e+02 7.8898431548677684e+02 7.8310555052344648e+02 7.7643898747808964e+02 7.6831685449504789e+02 7.5912596433871693e+02 7.4880401238061950e+02 7.3730949697189942e+02 7.2462838276627451e+02 7.1078059762351677e+02 6.9582540417751272e+02 6.7986454198422496e+02 6.6304281507055646e+02 6.4554090394161096e+02 6.2756740959899230e+02 6.0935880328886878e+02 5.9116906482993636e+02 5.7322553152112778e+02 5.5573342761536242e+02 5.3888223230118365e+02 5.2281867429980718e+02 5.0765801566982049e+02 4.9347571679592380e+02 4.8032802827959506e+02 4.6823044685594380e+02 4.5719270606098451e+02 4.4719064197478207e+02 4.3821009631245892e+02 4.3020824312543846e+02 4.2314051957695858e+02 4.1696833551328996e+02 4.1163778905549083e+02 4.0708470632445636e+02 4.0326072650589578e+02 4.0009574436472235e+02 3.9752947069802474e+02 3.9548887952201773e+02 3.9390303707253338e+02 3.9267355686810902e+02 3.9170532038837365e+02 3.9092018767874634e+02 3.9024708892882001e+02 3.8962157099490531e+02 3.8918210698028048e+02 3.8873936270527469e+02 3.8828803465494508e+02 3.8781547101571289e+02 3.8732801998342796e+02 3.8681232441467279e+02 3.8628230064859139e+02 3.8569564920086714e+02 3.8506779306119796e+02 3.8438717519423113e+02 3.8364477090682942e+02 3.8282961380432886e+02 3.8192934982735432e+02 3.8092691569788451e+02 3.7982108425922581e+02 3.7857469985140585e+02 3.7717725994594360e+02 3.7560848430954303e+02 3.7384654826439083e+02 3.7186894464328526e+02 3.6965309790913335e+02 3.6717470154086868e+02 3.6443399993910901e+02 3.6138742730927186e+02 3.5804357903429445e+02 3.5441019000191460e+02 3.5051575915144912e+02 3.4640877718039377e+02 3.4218154239065171e+02 3.3797200909746675e+02 3.3400227193787020e+02 3.3055914236741233e+02 3.2808388477873331e+02 3.2719415083297781e+02 3.2878558727442959e+02 3.3416349163598341e+02 3.4530577113527607e+02 3.6534391609843846e+02 3.9954915390926669e+02 6.1133870934192555e+02 +1.5139797977192888e-03 1.3373733935775433e+05 3.7305037304297893e+05 7.7931258923228213e+05 1.2855825903441156e+06 1.7187156273308098e+06 1.8553015035920546e+06 1.6587580515791115e+06 1.3396740468715334e+06 1.0534562645234959e+06 8.2051477594684390e+05 6.2567955380237743e+05 4.6583312872755993e+05 3.3946062549849588e+05 2.4241726795094222e+05 1.6967906230434979e+05 1.1656562294777960e+05 7.8713473428641941e+04 5.2272916254561802e+04 3.4154738752264835e+04 2.1983989780367800e+04 1.3977287788636724e+04 8.8285195588019487e+03 5.6220204761108453e+03 3.6914041758043127e+03 2.4529745370118949e+03 1.6575213212154902e+03 1.2216196309400709e+03 1.0069837794918266e+03 9.0584371601991097e+02 8.5919445657478514e+02 8.3762466226530614e+02 8.2708464457010359e+02 8.2109426439420383e+02 8.1675218649025260e+02 8.1278244830788935e+02 8.0861842454397777e+02 8.0399110567872958e+02 7.9875160084586184e+02 7.9279821736190252e+02 7.8604832197850817e+02 7.7782521640728623e+02 7.6852028732552492e+02 7.5807034904686441e+02 7.4643334779431166e+02 7.3359506279336358e+02 7.1957566735072089e+02 7.0443516087768910e+02 6.8827654752006276e+02 6.7124642980303838e+02 6.5352773092748930e+02 6.3533163974594527e+02 6.1689755920138157e+02 5.9848261602889534e+02 5.8031696343539897e+02 5.6260836637869477e+02 5.4554864853477920e+02 5.2928635318970453e+02 5.1393816704182905e+02 4.9958048254497282e+02 4.8627024477837466e+02 4.7402314122779399e+02 4.6284902512614923e+02 4.5272343309150523e+02 4.4363203048347737e+02 4.3553145899376767e+02 4.2837659930202028e+02 4.2212837504434060e+02 4.1673220521215961e+02 4.1212310696159392e+02 4.0825210572117481e+02 4.0504821596036857e+02 4.0245039404657871e+02 4.0038470807630830e+02 3.9877935010796699e+02 3.9753472398394842e+02 3.9655454435121044e+02 3.9575971423396612e+02 3.9507829265799154e+02 3.9444503478053525e+02 3.9400013131430018e+02 3.9355190634935070e+02 3.9309499107437898e+02 3.9261657721460472e+02 3.9212309162441011e+02 3.9160101186849062e+02 3.9106442635533335e+02 3.9047051224879010e+02 3.8983488334125661e+02 3.8914583952310574e+02 3.8839424437642401e+02 3.8756899574396340e+02 3.8665758662473291e+02 3.8564274254326369e+02 3.8452322093326546e+02 3.8326140645669346e+02 3.8184666643449606e+02 3.8025846956661718e+02 3.7847472098919570e+02 3.7647263489792010e+02 3.7422935627435055e+02 3.7172027772762760e+02 3.6894564647478461e+02 3.6586135767515026e+02 3.6247611299486078e+02 3.5879774307955097e+02 3.5485509968106760e+02 3.5069727380572607e+02 3.4641770639713695e+02 3.4215605966601726e+02 3.3813717756006770e+02 3.3465142249324208e+02 3.3214552154007862e+02 3.3124477284857630e+02 3.3285591108073987e+02 3.3830039320489846e+02 3.4958061269916493e+02 3.6986682739914983e+02 4.0449552154792565e+02 6.1889471302890490e+02 +1.5233108158482197e-03 1.3359919152372188e+05 3.7267160772412486e+05 7.7857607610673609e+05 1.2846613889159635e+06 1.7184191928667368e+06 1.8568063275949224e+06 1.6624501867768632e+06 1.3449762311005266e+06 1.0596817232876485e+06 8.2713706989465759e+05 6.3222850066865480e+05 4.7193857489282341e+05 3.4488714265602309e+05 2.4704772196145932e+05 1.7348797825849033e+05 1.1959827765411048e+05 8.1058711981100074e+04 5.4037606435302812e+04 3.5447970160013421e+04 2.2907618033712555e+04 1.4620603834332878e+04 9.2662093791457792e+03 5.9155677092086780e+03 3.8887674381667111e+03 2.5807452381987932e+03 1.7342616091567506e+03 1.2668022665860801e+03 1.0347821631471463e+03 9.2457665533585021e+02 8.7338418951408869e+02 8.4961522916856904e+02 8.3803902456438254e+02 8.3156494510716232e+02 8.2698990410324564e+02 8.2289482715412146e+02 8.1864761510464439e+02 8.1395009016108565e+02 8.0864047479891326e+02 8.0261122896987331e+02 7.9577683239181647e+02 7.8745143947773363e+02 7.7803102856731459e+02 7.6745150099663579e+02 7.5567023597642844e+02 7.4267282197236375e+02 7.2847967969590297e+02 7.1315155416501921e+02 6.9679272980845144e+02 6.7955163009113403e+02 6.6161344890429837e+02 6.4319199522667338e+02 6.2452964020068157e+02 6.0588669659687696e+02 5.8749616849591712e+02 5.6956839306053428e+02 5.5229756746436908e+02 5.3583407196928545e+02 5.2029603546882845e+02 5.0576079392831377e+02 4.9228599540632746e+02 4.7988752041625361e+02 4.6857534329397618e+02 4.5832469742573585e+02 4.4912106956355166e+02 4.4092056236653661e+02 4.3367749302079801e+02 4.2735229275638983e+02 4.2188969279564407e+02 4.1722389104307018e+02 4.1330529129503975e+02 4.1006201660085156e+02 4.0743225940872361e+02 4.0534117063524104e+02 4.0371605739809092e+02 4.0245609901872126e+02 4.0146382903882903e+02 4.0065918178125997e+02 3.9996933446312602e+02 3.9932824084270720e+02 3.9887783057072710e+02 3.9842405704070819e+02 3.9796148534157254e+02 3.9747714880262538e+02 3.9697755391211689e+02 3.9644901089724726e+02 3.9590578236273700e+02 3.9530451564372208e+02 3.9466101769667398e+02 3.9396344356570552e+02 3.9320254372406123e+02 3.9236707857043587e+02 3.9144438626794278e+02 3.9041697852875393e+02 3.8928359718240523e+02 3.8800616152384134e+02 3.8657390710989711e+02 3.8496604846407701e+02 3.8316021718940016e+02 3.8113334539385039e+02 3.7886229511604381e+02 3.7632215436960121e+02 3.7351317321908994e+02 3.7039070110562824e+02 3.6696354729412013e+02 3.6323963937319400e+02 3.5924818627775107e+02 3.5503888675755871e+02 3.5070633855053944e+02 3.4639193291666214e+02 3.4232329716478722e+02 3.3879438865258248e+02 3.3625746479346930e+02 3.3534556493070886e+02 3.3697664897549100e+02 3.4248853347896994e+02 3.5390840146108729e+02 3.7444575843273464e+02 4.0950315374891176e+02 6.2654408924224219e+02 +1.5326993432645622e-03 1.3346106147208574e+05 3.7229289346538705e+05 7.7783888592212286e+05 1.2837347989083664e+06 1.7181027622697940e+06 1.8582673321391058e+06 1.6660798659721611e+06 1.3502118316673418e+06 1.0658478977365261e+06 8.3371443023193406e+05 6.3875096777859831e+05 4.7803677915445133e+05 3.5032361206025991e+05 2.5170152981077723e+05 1.7732910680539414e+05 1.2266757970508870e+05 8.3441317791051100e+04 5.5837613900478813e+04 3.6772666590055342e+04 2.3857923559854407e+04 1.5285570714405543e+04 9.7207989109194987e+03 6.2219551091934954e+03 4.0958237104288060e+03 2.7154738073330404e+03 1.8155171962800732e+03 1.3147184905992056e+03 1.0641774148816844e+03 9.4422914784501529e+02 8.8811045845442845e+02 8.6193584697884000e+02 8.4921696051782408e+02 8.4220639797206559e+02 8.3737306754328768e+02 8.3314072253526751e+02 8.2880464159874248e+02 8.2403400915026714e+02 8.1865254272937864e+02 8.1254612334733440e+02 8.0562601918740961e+02 7.9719699712944794e+02 7.8765963894648894e+02 7.7694889706337983e+02 7.6502156713631621e+02 7.5186304087372991e+02 7.3749398813467712e+02 7.2197590838656527e+02 7.0541438219398606e+02 6.8795967667198238e+02 6.6979928474801181e+02 6.5114966820467043e+02 6.3225620334819189e+02 6.1338242859269701e+02 5.9476423429584861e+02 5.7661456171512486e+02 5.5913001089251986e+02 5.4246282175084730e+02 5.2673258314669374e+02 5.1201758613822881e+02 4.9837619036654212e+02 4.8582447167183750e+02 4.7437252691214798e+02 4.6399528242148841e+02 4.5467804406145314e+02 4.4637636869961671e+02 4.3904400292928136e+02 4.3264087929638833e+02 4.2711103250585552e+02 4.2238783079171822e+02 4.1842104834460321e+02 4.1513790552678921e+02 4.1247582125855894e+02 4.1035901787939952e+02 4.0871390666976640e+02 4.0743842740128815e+02 4.0643391806208894e+02 4.0561933245193217e+02 4.0492095520338717e+02 4.0427192885433220e+02 4.0381594358873190e+02 4.0335655277785543e+02 4.0288825459844304e+02 4.0239792202508596e+02 4.0189214216625169e+02 4.0135705584144563e+02 4.0080710200481866e+02 4.0019839160654675e+02 3.9954692715651771e+02 3.9884071705876914e+02 3.9807039727721565e+02 3.9722458906366569e+02 3.9629047382799968e+02 3.9525034682195343e+02 3.9410293407443874e+02 3.9280968375466796e+02 3.9135969802102005e+02 3.8973193407243355e+02 3.8790374659043135e+02 3.8585178210295720e+02 3.8355261619920361e+02 3.8098102852638175e+02 3.7813727202807723e+02 3.7497614367387729e+02 3.7150656165700474e+02 3.6773655171010660e+02 3.6369568437489460e+02 3.5943427367263354e+02 3.5504808846214485e+02 3.5068027047039499e+02 3.4656126483631175e+02 3.4298866839257050e+02 3.4042033738687707e+02 3.3949714823857994e+02 3.4114842513952465e+02 3.4672854684862210e+02 3.5828979296394493e+02 3.7908140278367790e+02 4.1457280903328132e+02 6.3428799148981284e+02 +1.5421457344117536e-03 1.3332294461698877e+05 3.7191422860481270e+05 7.7710103387671860e+05 1.2828029185215635e+06 1.7177665849648749e+06 1.8596849697847355e+06 1.6696475145786745e+06 1.3553810096641467e+06 1.0719545485827802e+06 8.4024619197378354e+05 6.4524594444910996e+05 4.8412652427313954e+05 3.5576877356181620e+05 2.5637753714476543e+05 1.8120150939231386e+05 1.2577286488626631e+05 8.5860910700402776e+04 5.7672815101139058e+04 3.8128910140555781e+04 2.4835132808467577e+04 1.5972498558224237e+04 1.0192630073052573e+04 6.5415212025766314e+03 4.3128927199825293e+03 2.8574398670961177e+03 1.9015044252394359e+03 1.3655206036670463e+03 1.0952698050387301e+03 9.6486366720315857e+02 9.0341042870829415e+02 8.7460786987203471e+02 8.6063051869438254e+02 8.5302552727552495e+02 8.4790585108392418e+02 8.4352292619753052e+02 8.3909162004093787e+02 8.3424465609847789e+02 8.2878944453602378e+02 8.2260446454726412e+02 8.1559740483185169e+02 8.0706338268943227e+02 7.9740758819641496e+02 7.8656398431049752e+02 7.7448876466987497e+02 7.6116711745067607e+02 7.4661996313864279e+02 7.3090956448992642e+02 7.1414281420945508e+02 6.9647184604430140e+02 6.7808648065141392e+02 6.5920586571245030e+02 6.4007842012070364e+02 6.2097094803896448e+02 6.0212226195032099e+02 5.8374793948975196e+02 5.6604701330358364e+02 5.4917360593936291e+02 5.3324878419977233e+02 5.1835180595704412e+02 5.0454175113619704e+02 4.9183489323047365e+02 4.8024145305142440e+02 4.6973604600897630e+02 4.6030379476054674e+02 4.5189970353602484e+02 4.4447694114385217e+02 4.3799493508720155e+02 4.3239701469266072e+02 4.2761570797342182e+02 4.2360015143814638e+02 4.2027665135425531e+02 4.1758184338689648e+02 4.1543900975792525e+02 4.1377365487893303e+02 4.1248246376020603e+02 4.1146556421072785e+02 4.1064091753672994e+02 4.0993390488009334e+02 4.0927684761676534e+02 4.0881521832581558e+02 4.0835014066784527e+02 4.0787604508470457e+02 4.0737964221258034e+02 4.0686760078152469e+02 4.0632589010443826e+02 4.0576912766659700e+02 4.0515288139401702e+02 4.0449335177128921e+02 4.0377839874492349e+02 4.0299854235132267e+02 4.0214226297277958e+02 4.0119658332345165e+02 4.0014357951554990e+02 3.9898196157675039e+02 3.9767270072117168e+02 3.9620476405416423e+02 3.9455684826278866e+02 3.9270602767782958e+02 3.9062865970875981e+02 3.8830102994932855e+02 3.8569760586044606e+02 3.8281864329735993e+02 3.7961837991986005e+02 3.7610584419663559e+02 3.7228916122055375e+02 3.6819826761862510e+02 3.6388410030347899e+02 3.5944361376093195e+02 3.5502172186518783e+02 3.5085172248384856e+02 3.4723489700540142e+02 3.4463476985525142e+02 3.4370015159734203e+02 3.4537187145563172e+02 3.5102107553236374e+02 3.6272545084090962e+02 3.8377446259568330e+02 4.1970525528295792e+02 6.4212758752365664e+02 +1.5516503459177505e-03 1.3318484168737169e+05 3.7153561539035494e+05 7.7636253269297979e+05 1.2818658265374172e+06 1.7174109105527636e+06 1.8610596877076654e+06 1.6731535588639681e+06 1.3604839414310032e+06 1.0780014510255828e+06 8.4673171549480269e+05 6.5171244404908945e+05 4.9020661090795114e+05 3.6122137506739283e+05 2.6107458669308978e+05 1.8510423459548299e+05 1.2891344883672324e+05 8.8317086584978912e+04 5.9543062177960994e+04 3.9516761120390707e+04 2.5839454872386039e+04 1.6681685437107422e+04 1.0682037963477254e+04 6.8746022389885102e+03 4.5402956338628455e+03 3.0069272390650381e+03 1.9924451300867725e+03 1.4193663405951943e+03 1.1281641999270455e+03 9.8654617137285516e+02 9.1932368961283612e+02 8.8765422211011708e+02 8.7229272280111059e+02 8.6402979299640731e+02 8.5859274012119090e+02 8.5404440123480094e+02 8.4951076210525002e+02 8.4458388094036115e+02 8.3905285702794208e+02 8.3278784399845904e+02 8.2569253455480930e+02 8.1705210987093938e+02 8.0727636524964953e+02 7.9629822831859815e+02 7.8407327000660848e+02 7.7058646727875021e+02 7.5585899240538890e+02 7.3995388024228180e+02 7.2297935178768682e+02 7.0508943066973688e+02 6.8647629432595443e+02 6.6736180984067528e+02 6.4799747659205627e+02 6.2865340510094961e+02 6.0957136626646979e+02 5.9096960679122753e+02 5.7304962202661613e+02 5.5596744038828820e+02 5.3984562482997239e+02 5.2476441189709533e+02 5.1078361060596814e+02 4.9791969444836406e+02 4.8618300963802113e+02 4.7554785673486907e+02 4.6599917284517875e+02 4.5749140262800876e+02 4.4997712982171578e+02 4.4341527044568602e+02 4.3774843947329293e+02 4.3290831401224955e+02 4.2884338471029787e+02 4.2547903219032912e+02 4.2275109901160459e+02 4.2058191559754619e+02 4.1889606832271153e+02 4.1758897203552760e+02 4.1655952956057848e+02 4.1572469759486108e+02 4.1500894274775027e+02 4.1434375516942436e+02 4.1387641196653107e+02 4.1340557703389374e+02 4.1292561224534182e+02 4.1242306389146171e+02 4.1190468333546323e+02 4.1135626626058394e+02 4.1079261089080450e+02 4.1016873540864503e+02 4.0950104072113686e+02 4.0877723648006150e+02 4.0798772535836133e+02 4.0712084512322679e+02 4.0616345782901368e+02 4.0509741773295616e+02 4.0392141866165520e+02 4.0259594897090847e+02 4.0110983903721882e+02 3.9944152181133461e+02 3.9756778779966987e+02 3.9546470171249894e+02 3.9310825555590463e+02 3.9047260073977623e+02 3.8755799606219949e+02 3.8431811295142671e+02 3.8076209151611602e+02 3.7689815743847919e+02 3.7275661796542374e+02 3.6838904061641352e+02 3.6389358018831831e+02 3.5941694465326447e+02 3.5519531993506820e+02 3.5153371762000017e+02 3.4890140051220135e+02 3.4795521158919883e+02 3.4964762760327352e+02 3.5536676967217289e+02 3.6721604691176418e+02 3.8852564867501684e+02 4.2490126985232109e+02 6.5006405951563897e+02 +1.5612135366084923e-03 1.3304675548067829e+05 3.7115705687605671e+05 7.7562339875329786e+05 1.2809236051594312e+06 1.7170360001132712e+06 1.8623919303089520e+06 1.6765984548135088e+06 1.3655208045500573e+06 1.0839884006285248e+06 8.5317038716784050e+05 6.5814950445726840e+05 4.9627585808280774e+05 3.6668017328672891e+05 2.6579151924565306e+05 1.8903631905505972e+05 1.3208862782449755e+05 9.0809417866008240e+04 6.1448183150261706e+04 4.0936257931022541e+04 2.6871081127269041e+04 1.7413416856217529e+04 1.1189350302502764e+04 7.2215316647715053e+03 4.7783546120277815e+03 3.1642236285846061e+03 2.0885664821552227e+03 1.4764188505768141e+03 1.1629701254517577e+03 1.0093462018022027e+03 9.3589235561176440e+02 9.0109948303768260e+02 8.8421761708623433e+02 8.7522725348373126e+02 8.6943855796935941e+02 8.6470829794280780e+02 8.6006438408161898e+02 8.5505359499242422e+02 8.4944449657879659e+02 8.4309788196134014e+02 8.3591297719891998e+02 8.2716471330103150e+02 8.1726747861320757e+02 8.0615311348303135e+02 7.9377654287191956e+02 7.8012252379508959e+02 7.6521248108389022e+02 7.4911023045060426e+02 7.3192533747410789e+02 7.1381373918043744e+02 6.9496999919497466e+02 6.7561873792994800e+02 6.5601457362104065e+02 6.3643096426266720e+02 6.1711267591836395e+02 5.9828065745202650e+02 5.8013889739264664e+02 5.6284535355525713e+02 5.4652410346643899e+02 5.3125637434937198e+02 5.1710271322034976e+02 5.0407979594211810e+02 4.9219809558802012e+02 4.8143159389257886e+02 4.7176504003008341e+02 4.6315231206424841e+02 4.5554540128597523e+02 4.4890270570501252e+02 4.4316611685180897e+02 4.3826645010820573e+02 4.3415154197826314e+02 4.3074583574609181e+02 4.2798437089258880e+02 4.2578851421587899e+02 4.2408192274827172e+02 4.2275872558757681e+02 4.2171658558483637e+02 4.2087144256388018e+02 4.2014683742274582e+02 4.1947341889806523e+02 4.1900029103161080e+02 4.1852362752494673e+02 4.1803772084082885e+02 4.1752895089169994e+02 4.1700415269735890e+02 4.1644894616388973e+02 4.1587831248762814e+02 4.1524671330393920e+02 4.1457075242352812e+02 4.1383798734129073e+02 4.1303870191313916e+02 4.1216108952476162e+02 4.1119184958028933e+02 4.1011261173683874e+02 4.0892205341246620e+02 4.0758017413215396e+02 4.0607566584764504e+02 4.0438669450542210e+02 4.0248976327231935e+02 4.0036064053545266e+02 3.9797502107686387e+02 3.9530673634019922e+02 3.9235604810076541e+02 3.8907605454693550e+02 3.8547600880657012e+02 3.8156423839910542e+02 3.7737142578045217e+02 3.7294977688750510e+02 3.6839866169503046e+02 3.6386660449336296e+02 3.5959271503089565e+02 3.5588578129581737e+02 3.5322087554148737e+02 3.5226297264600299e+02 3.5397634114813599e+02 3.5976628742662990e+02 3.7176226128018925e+02 3.9333568059173558e+02 4.3016163968173106e+02 6.5809860423522127e+02 +1.5708356675214487e-03 1.3290868183987270e+05 3.7077855288700445e+05 7.7488364947381010e+05 1.2799763171343459e+06 1.7166420973794730e+06 1.8636821169612408e+06 1.6799826386123423e+06 1.3704917947329413e+06 1.0899152147398845e+06 8.5956161751967878e+05 6.6455618709487794e+05 5.0233310341934726e+05 3.7214393446932011e+05 2.7052717458991072e+05 1.9299678841381101e+05 1.3529767953339714e+05 9.3337454046154351e+04 6.3387982138074789e+04 4.2387416982655297e+04 2.7930184900877364e+04 1.8167965266912168e+04 1.1714886885426275e+04 7.5826395953628726e+03 5.0273923502670013e+03 3.3296202931217531e+03 2.1901008183419058e+03 1.5368466630866442e+03 1.1998018214626716e+03 1.0333369782700465e+03 9.5316116667440588e+02 9.1496997348672812e+02 8.9642033163045721e+02 8.8662661028838716e+02 8.8044849440081089e+02 8.7551797090972491e+02 8.7075491662886304e+02 8.6565577633961698e+02 8.5996612205845827e+02 8.5353622914230493e+02 8.4626032615037468e+02 8.3740274908435845e+02 8.2738245675996575e+02 8.1613014332475927e+02 8.0360006155476606e+02 7.8977673854863895e+02 7.7468185201131951e+02 7.5838000718430158e+02 7.4098213064156255e+02 7.2264609658630843e+02 7.0356888459825950e+02 6.8397790276536284e+02 6.6413092703579071e+02 6.4430480451022288e+02 6.2474733362083214e+02 6.0568219889846716e+02 5.8731591289981509e+02 5.6980838665840906e+02 5.5328523092033925e+02 5.3782867573221120e+02 5.2350001512438496e+02 5.1031612972733114e+02 4.9828762094496597e+02 4.8738814765612574e+02 4.7760226868890118e+02 4.6888328839783389e+02 4.6118259815018689e+02 4.5445807133779999e+02 4.4865086683980081e+02 4.4369092735570013e+02 4.3952542685774176e+02 4.3607785945094247e+02 4.3328245144255840e+02 4.3105959403221124e+02 4.2933200346587591e+02 4.2799250730839543e+02 4.2693751326501524e+02 4.2608193186926036e+02 4.2534836699282658e+02 4.2466661564534877e+02 4.2418763148829282e+02 4.2370506722553569e+02 4.2321314505588691e+02 4.2269807645508308e+02 4.2216678113773264e+02 4.2160470105656373e+02 4.2102700264200854e+02 4.2038758409599501e+02 4.1970325464283030e+02 4.1896141773581996e+02 4.1815223694225836e+02 4.1726375947880229e+02 4.1628252008398749e+02 4.1518992103415286e+02 4.1398462313296676e+02 4.1262613102303061e+02 4.1110299651694908e+02 4.0939311524818157e+02 4.0747269948705531e+02 4.0531721762584118e+02 4.0290206354112394e+02 4.0020074474991065e+02 3.9721352603638638e+02 3.9389292525456460e+02 3.9024830995030754e+02 3.8628811073983860e+02 3.8204338993676066e+02 3.7756699980092719e+02 3.7295954053638030e+02 3.6837137524831309e+02 3.6404457371896984e+02 3.6029174711509881e+02 3.5759384909017876e+02 3.5662408714025412e+02 3.5835866763622920e+02 3.6422029506432182e+02 3.7636478243148963e+02 3.9820528678336115e+02 4.3548716140792618e+02 6.6623243322983126e+02 +1.5805171019192487e-03 1.3277062063920469e+05 3.7040010753616906e+05 7.7414330635254411e+05 1.2790240518923774e+06 1.7162294336728661e+06 1.8649307056864526e+06 1.6833065516578569e+06 1.3753971240025768e+06 1.0957817311054489e+06 8.6590484056238469e+05 6.7093157633291883e+05 5.0837720333387831e+05 3.7761143509065564e+05 2.7528039238874923e+05 1.9698465825980747e+05 1.3853986386376849e+05 9.5900722269001490e+04 6.5362239616478553e+04 4.3870232644761563e+04 2.9016921172712147e+04 1.8945589600623938e+04 1.2258959046118489e+04 7.9582522878339232e+03 5.2877316138777669e+03 3.5034116947368957e+03 2.2972854518920053e+03 1.6008236390100851e+03 1.2387782862429347e+03 1.0585954888346498e+03 9.7117758760611980e+02 9.2929384335312966e+02 9.0891714974499109e+02 8.9823725514730893e+02 8.9162813595165039e+02 8.8647699738029451e+02 8.8158491537499594e+02 8.7639247574593173e+02 8.7061953807033444e+02 8.6410456848296246e+02 8.5673620036598231e+02 8.4776779542361942e+02 8.3762284855141479e+02 8.2623084081985792e+02 8.1354532319191844e+02 7.9955058145230373e+02 7.8426854595079931e+02 7.6776462000750087e+02 7.5015110771159198e+02 7.3158784448773599e+02 7.1227425599531193e+02 6.9244057277505397e+02 6.7234776782841573e+02 6.5227611951407982e+02 6.3247649630598119e+02 6.1317535232221826e+02 5.9458175537915304e+02 5.7685759383642142e+02 5.6013003053606144e+02 5.4448231063791184e+02 5.2997648430636775e+02 5.1662963935827099e+02 5.0445250701518427e+02 4.9341841921352363e+02 4.8351174198708765e+02 4.7468519877285769e+02 4.6688957344444049e+02 4.6008220807747864e+02 4.5420351957697915e+02 4.4918256686176727e+02 4.4496585288003388e+02 4.4147591056972539e+02 4.3864614284318418e+02 4.3639595318242090e+02 4.3464710546071279e+02 4.3329110973370820e+02 4.3222310320047052e+02 4.3135695453519463e+02 4.3061431912860547e+02 4.2992413182077240e+02 4.2943921885919895e+02 4.2895068076491714e+02 4.2845266860855003e+02 4.2793122334653685e+02 4.2739335043767670e+02 4.2682431167819249e+02 4.2623946102472826e+02 4.2559212627085986e+02 4.2489932459742329e+02 4.2414830350827242e+02 4.2332910479231532e+02 4.2242962768618054e+02 4.2143624022481225e+02 4.2033011448635739e+02 4.1910989445125699e+02 4.1773458375710447e+02 4.1619259233706737e+02 4.1446154216582778e+02 4.1251735101330883e+02 4.1033518356103190e+02 4.0789012905466495e+02 4.0515536707216143e+02 4.0213116544041742e+02 3.9876945449719972e+02 3.9507971762058645e+02 3.9107048980043135e+02 3.8677321791268071e+02 3.8224140854596459e+02 3.7757690736952839e+02 3.7293193907912598e+02 3.6855157014753263e+02 3.6475228227657425e+02 3.6202098336138556e+02 3.6103921547939763e+02 3.6279527068722382e+02 3.6872946705892582e+02 3.8102430732833051e+02 4.0313520465791612e+02 4.4087864147944447e+02 6.7446677300721262e+02 +1.5902582053033958e-03 1.3263257379987303e+05 3.7002171730645880e+05 7.7340236759205686e+05 1.2780668929125194e+06 1.7157982623860966e+06 1.8661381346168241e+06 1.6865706452173828e+06 1.3802370155918803e+06 1.1015878077970799e+06 8.7219951392811432e+05 6.7727478020338761e+05 5.1440703340894543e+05 3.8308146250563068e+05 2.8005001300688484e+05 2.0099893506248662e+05 1.4181442374896471e+05 9.8498727900911676e+04 6.7370712701312616e+04 4.5384677230414061e+04 3.0131426303841417e+04 1.9746534825246257e+04 1.2821869132488413e+04 8.3486916149052340e+03 5.5596947632558467e+03 3.6858951374550215e+03 2.4103624658138533e+03 1.6685289067367710e+03 1.2800233106082997e+03 1.0852025743350798e+03 9.8999190583596339e+02 9.4410116006440944e+02 9.2172557733425970e+02 9.1006931910140997e+02 9.0298349805572661e+02 8.9758919697750900e+02 8.9255707242284484e+02 8.8726582312375911e+02 8.8140659852080842e+02 8.7480461713181580e+02 8.6734224549936880e+02 8.5826145329124745e+02 8.4799022368751309e+02 8.3645674873906432e+02 8.2361384405254057e+02 8.0944554104643942e+02 7.9397402183721772e+02 7.7726549620624417e+02 7.5943366237783209e+02 7.4064034129137519e+02 7.2108743517435892e+02 7.0100803222969762e+02 6.8066634234402591e+02 6.6034611781647311e+02 6.4030133530332762e+02 6.2076125285326862e+02 6.0193752515799520e+02 5.8399404231051244e+02 5.6705953834998820e+02 5.5121828598617242e+02 5.3653310074512592e+02 5.2302128007447448e+02 5.1069368650971768e+02 4.9952332090365599e+02 4.8949435401357863e+02 4.8055892105636656e+02 4.7266719074270543e+02 4.6577596704645708e+02 4.5982491545456696e+02 4.5474219986821873e+02 4.5047364361074506e+02 4.4694080631731066e+02 4.4407625715887565e+02 4.4179839962972477e+02 4.4002803350364655e+02 4.3865533515274933e+02 4.3757415572031812e+02 4.3669730929634125e+02 4.3594549119233540e+02 4.3524676350997714e+02 4.3475584833291970e+02 4.3426126242765577e+02 4.3375708486121187e+02 4.3322918396192665e+02 4.3268465199716866e+02 4.3210856837629575e+02 4.3151647689895435e+02 4.3086112789404132e+02 4.3015974906960429e+02 4.2939943005077805e+02 4.2857008933832623e+02 4.2765947635639765e+02 4.2665379037157891e+02 4.2553397041484112e+02 4.2429864342974628e+02 4.2290630584964418e+02 4.2134522396849673e+02 4.1959274271324006e+02 4.1762448170545929e+02 4.1541529815617235e+02 4.1293997290462153e+02 4.1017135352989811e+02 4.0710971093610300e+02 4.0370638067289161e+02 3.9997096338255659e+02 3.9591209972251846e+02 3.9156162589303466e+02 3.8697371091585001e+02 3.8225146135065870e+02 3.7754898654052789e+02 3.7311438676013654e+02 3.6926806218904488e+02 3.6650294870560623e+02 3.6550902619671933e+02 3.6728682208530273e+02 3.7329448618379217e+02 3.8574154151073287e+02 4.0812618069796065e+02 4.4633689626660350e+02 6.8280286521978144e+02 +1.6000593454280664e-03 1.3249453923157539e+05 3.6964338835298427e+05 7.7266086334891757e+05 1.2771049085168610e+06 1.7153488312963401e+06 1.8673048420985087e+06 1.6897753738326116e+06 1.3850116922424485e+06 1.1073333173269720e+06 8.7844511948512064e+05 6.8358493171591056e+05 5.2042148884851387e+05 3.8855281559174781e+05 2.8483487832471589e+05 2.0503861709233257e+05 1.4512058598520246e+05 1.0113095513438064e+05 6.9413135465249259e+04 4.6930701013998303e+04 3.1273817797580785e+04 2.0571031524717266e+04 1.3403909995345512e+04 8.7542745418054674e+03 5.8436032726139292e+03 3.8773703902852708e+03 2.5295784892115375e+03 1.7401467829590304e+03 1.3236655010975787e+03 1.1132430068715130e+03 1.0096573272075049e+03 9.5942399765178470e+02 9.3486441410478346e+02 9.2213372372120477e+02 9.1452105900826791e+02 9.0885865280474115e+02 9.0367422880058200e+02 8.9827803460727591e+02 8.9232921054891904e+02 8.8563812862947725e+02 8.7808013515474795e+02 8.6888534716181266e+02 8.5848617319209984e+02 8.4680943001191190e+02 8.3380715984110873e+02 8.1946312476418746e+02 8.0379975702364038e+02 7.8688408103006338e+02 7.6883120583057257e+02 7.4980496242682352e+02 7.3000976046193580e+02 7.0968158144442816e+02 6.8908791247917736e+02 6.6851602301918717e+02 6.4822303652130290e+02 6.2844104973509241e+02 6.0938433623403739e+02 5.9121881254831737e+02 5.7407480324747428e+02 5.5803762117778217e+02 5.4317085656070196e+02 5.2949201894239900e+02 5.1701210368278998e+02 5.0570377635401661e+02 4.9555100991619497e+02 4.8650534397005140e+02 4.7851632429145701e+02 4.7154020988054697e+02 4.6551590523878565e+02 4.6037066787072160e+02 4.5604963276784014e+02 4.5247337397532817e+02 4.4957361645026731e+02 4.4726775127992443e+02 4.4547560226481028e+02 4.4408599572068613e+02 4.4299148099307882e+02 4.4210380470518902e+02 4.4134269034924046e+02 4.4063531658619610e+02 4.4013832487361356e+02 4.3963761626130702e+02 4.3912719692867182e+02 4.3859276043978701e+02 4.3804148694626360e+02 4.3745827121302449e+02 4.3685884923184591e+02 4.3619538671770698e+02 4.3548532451459675e+02 4.3471559240950114e+02 4.3387598409090697e+02 4.3295409731489605e+02 4.3193596048810360e+02 4.3080227670942742e+02 4.2955165567058788e+02 4.2814208032472357e+02 4.2656167154528310e+02 4.2478749377978806e+02 4.2279486480954574e+02 4.2055833056505327e+02 4.1805235966180726e+02 4.1524946356828411e+02 4.1214991629975736e+02 4.0870445125631920e+02 4.0492278779576759e+02 4.0081367355013174e+02 3.9640933886698883e+02 3.9176462340513842e+02 3.8698391023081905e+02 3.8222321667618905e+02 3.7773371438997611e+02 3.7383977056363358e+02 3.7104042371513583e+02 3.7003419604369037e+02 3.7183400187405493e+02 3.7791604360559990e+02 3.9051719919080688e+02 4.1317897056181357e+02 4.5186275217700808e+02 6.9124196685204595e+02 +1.6099208923139930e-03 1.3235651610653350e+05 3.6926512081521697e+05 7.7191879456409998e+05 1.2761381909244128e+06 1.7148813556194385e+06 1.8684312561435453e+06 1.6929211921241020e+06 1.3897214001722720e+06 1.1130181514319102e+06 8.8464116296053783e+05 6.8986118921470910e+05 5.2641948483308055e+05 3.9402430534821545e+05 2.8963383256633783e+05 2.0910269531643463e+05 1.4845756206773274e+05 1.0379686761045110e+05 7.1489219283287559e+04 4.8508232282121971e+04 3.2444194090999201e+04 2.1419295502924346e+04 1.4005364491656848e+04 9.1753126072278083e+03 6.1397772430832774e+03 4.0781392967633615e+03 2.6551844567725743e+03 1.8158666779709652e+03 1.3698382917717342e+03 1.1428055617282007e+03 1.0302300693053610e+03 9.7529652610310472e+02 9.4835382644645563e+02 9.3444223439285292e+02 9.2624779580300833e+02 9.2028973399274366e+02 9.1493938791600169e+02 9.0943142026584940e+02 9.0338933884339826e+02 8.9660689531271908e+02 8.8895157225253854e+02 8.7964112581496408e+02 8.6911230992834157e+02 8.5729046810616455e+02 8.4412682600966707e+02 8.2960485920955466e+02 8.1374724753957469e+02 7.9662183793088911e+02 7.7834516699164089e+02 7.5908310056963944e+02 7.3904258693586598e+02 7.1846253698697581e+02 6.9761375587984753e+02 6.7678707397588266e+02 6.5624280063264769e+02 6.3621590650301778e+02 6.1692331644317483e+02 5.9853299842781144e+02 5.8117688712429049e+02 5.6494134824948333e+02 5.4989075616342882e+02 5.3604283500395763e+02 5.2340871447708992e+02 5.1196072061959029e+02 5.0168262603730034e+02 4.9252536722090946e+02 4.8443785914047703e+02 4.7737580885621878e+02 4.7127735019506594e+02 4.6606882274247607e+02 4.6169466434075201e+02 4.5807445100985240e+02 4.5513905289091645e+02 4.5280483609183125e+02 4.5099063642393963e+02 4.4958391356938978e+02 4.4847589913813988e+02 4.4757725924546105e+02 4.4680673367617374e+02 4.4609060681782779e+02 4.4558746333004547e+02 4.4508055618867797e+02 4.4456381778842655e+02 4.4402276476727201e+02 4.4346466625194495e+02 4.4287423007623613e+02 4.4226738680044843e+02 4.4159571029232347e+02 4.4087685716616761e+02 4.4009759539476471e+02 4.3924759230602422e+02 4.3831429210987784e+02 4.3728355023805966e+02 4.3613583093486272e+02 4.3486972642396938e+02 4.3344269982231805e+02 4.3184272478156709e+02 4.3004658179521147e+02 4.2802928306499638e+02 4.2576505938776171e+02 4.2322806328685067e+02 4.2039046595862402e+02 4.1725254456418457e+02 4.1376442290204847e+02 4.0993594051259066e+02 4.0577595332893043e+02 4.0131709072585141e+02 3.9661487130585817e+02 3.9177497045114484e+02 3.8695533711504999e+02 3.8241025235347780e+02 3.7846809950836945e+02 3.7563409531486423e+02 3.7461541008197111e+02 3.7643749844765142e+02 3.8259483897843683e+02 3.9535200335271395e+02 4.1829433918757667e+02 4.5745704576546342e+02 6.9978535040904342e+02 +1.6198432182624345e-03 1.3221850479438264e+05 3.6888691143501061e+05 7.7117619039064995e+05 1.2751667769846204e+06 1.7143960653462175e+06 1.8695178033373097e+06 1.6960085504586485e+06 1.3943663943559749e+06 1.1186422249237613e+06 8.9078717200183298e+05 6.9610273478087538e+05 5.3239995674797241e+05 3.9949475543944305e+05 2.9444572313607472e+05 2.1319015427278774e+05 1.5182454902600197e+05 1.0649590905994436e+05 7.3598653206323681e+04 5.0117177416605642e+04 3.3642634377260008e+04 2.2291527412267631e+04 1.4626505003507245e+04 9.6121114097818045e+03 6.4485349113328493e+03 4.2885053719184025e+03 2.7874353518505445e+03 1.8958829853372290e+03 1.4186799441658952e+03 1.1739830821705243e+03 1.0517694518536416e+03 9.9175510068025483e+02 9.6221542181952668e+02 9.4700751560153753e+02 9.3817122184218840e+02 9.3188711972364376e+02 9.2635573005169010e+02 9.2072839250160780e+02 9.1458901038270903e+02 9.0771275097024773e+02 8.9995829054814817e+02 8.9053046321159036e+02 8.7987026916541674e+02 8.6790146743506239e+02 8.5457441808454200e+02 8.3987229044207197e+02 8.2381800834971068e+02 8.0648024880934418e+02 7.8797699274389458e+02 7.6847616586669449e+02 7.4818728664498974e+02 7.2735223188532905e+02 7.0624516614110348e+02 6.8516052498427644e+02 6.6436184326115233e+02 6.4408700116368425e+02 6.2455560763610629e+02 6.0593770740729065e+02 5.8836686504748718e+02 5.7193051203008361e+02 5.5669381640680888e+02 5.4267471942293446e+02 5.2988448666642341e+02 5.1829510032343921e+02 5.0789013005228742e+02 4.9861990164005420e+02 4.9043269127461804e+02 4.8328364701921157e+02 4.7711012221360403e+02 4.7183752685447030e+02 4.6740959270974520e+02 4.6374488518546946e+02 4.6077340887810448e+02 4.5841049219211573e+02 4.5657397078175677e+02 4.5514992091616267e+02 4.5402824033425259e+02 4.5311850143779606e+02 4.5233844827083738e+02 4.5161345997797099e+02 4.5110408854423008e+02 4.5059090611341986e+02 4.5006777038728694e+02 4.4952001889045778e+02 4.4895501082654630e+02 4.4835726478565192e+02 4.4774290830126756e+02 4.4706291606990260e+02 4.4633516314702797e+02 4.4554625368585613e+02 4.4468572708950950e+02 4.4374087212021129e+02 4.4269736909124856e+02 4.4153544043705767e+02 4.4025366069084441e+02 4.3880896670313075e+02 4.3718918307630310e+02 4.3537080283285519e+02 4.3332852881198102e+02 4.3103627277249956e+02 4.2846786723188802e+02 4.2559513890051267e+02 4.2241836811963299e+02 4.1888706154311478e+02 4.1501118037959003e+02 4.1079969020432094e+02 4.0628562436156938e+02 4.0152518880555431e+02 3.9662536724014529e+02 3.9174606416292193e+02 3.8714470854341363e+02 3.8315374961805270e+02 3.8028465885375670e+02 3.7925336177545574e+02 3.8109800864225838e+02 3.8733158053624516e+02 4.0024668584472312e+02 4.2347306089432374e+02 4.6312062384625960e+02 7.0843430410838380e+02 +1.6298266978692312e-03 1.3208050647448521e+05 3.6850876996906241e+05 7.7043305180686677e+05 1.2741907769219805e+06 1.7138932276896362e+06 1.8705649173330166e+06 1.6990379192248650e+06 1.3989469307335252e+06 1.1242054670930663e+06 8.9688269626901159e+05 7.0230877299571736e+05 5.3836186040229490e+05 4.0496300275021809e+05 2.9926940144184395e+05 2.1729997293798099e+05 1.5522073025675397e+05 1.0922750396154099e+05 7.5741104362035185e+04 5.1757421009231126e+04 3.4869198459255902e+04 2.3187912407758024e+04 1.5267592973620793e+04 1.0064970101117593e+04 6.7701921550858042e+03 4.5087733876462007e+03 2.9265899334793535e+03 1.9803949558659310e+03 1.4703335349897959e+03 1.2068725366019328e+03 1.0743379836786237e+03 1.0088383508421161e+03 9.7647232444300539e+02 9.5984318814833011e+02 9.5029942652797661e+02 9.4365582478237945e+02 9.3792662796355216e+02 9.3217147517063859e+02 9.2593031961802535e+02 9.1895757376156473e+02 9.1110205629668258e+02 9.0155505945308926e+02 8.9076170917969102e+02 8.7864405378374931e+02 8.6515153200373857e+02 8.5026698427007375e+02 8.3401357362388728e+02 8.1646081426644628e+02 7.9772814817591598e+02 7.7798558616597586e+02 7.5744524882657061e+02 7.3635201584007746e+02 7.1498345301455674e+02 6.9363764598516809e+02 6.7258139516766448e+02 6.5205552637933386e+02 6.3228236585278637e+02 6.1343406069463356e+02 5.9564582542169762e+02 5.7900617030198043e+02 5.6358106674408111e+02 5.4938867563792633e+02 5.3644040000337804e+02 5.2470787380047830e+02 5.1417446110713433e+02 5.0478986931410827e+02 4.9650172774438272e+02 4.8926461831486358e+02 4.8301510393547113e+02 4.7767765319904231e+02 4.7319528276569918e+02 4.6948553468537489e+02 4.6647753715135229e+02 4.6408556798479651e+02 4.6222645037037597e+02 4.6078486017351923e+02 4.5964934492725860e+02 4.5872836994981810e+02 4.5793867135921602e+02 4.5720471195133541e+02 4.5668903545805676e+02 4.5616950002766555e+02 4.5563988774945693e+02 4.5508535481938299e+02 4.5451335163454655e+02 4.5390820519903150e+02 4.5328624245500350e+02 4.5259783151334273e+02 4.5186106857256146e+02 4.5106239193812752e+02 4.5019121150392908e+02 4.4923465865902597e+02 4.4817823643113991e+02 4.4700192244836563e+02 4.4570427333153134e+02 4.4424169315259456e+02 4.4260185561599531e+02 4.4076096271459483e+02 4.3869340409177596e+02 4.3637276851819848e+02 4.3377256454184851e+02 4.3086427012150079e+02 4.2764816881462451e+02 4.2407314249226874e+02 4.2014927553563342e+02 4.1588564451993108e+02 4.1131569176246978e+02 4.0649631908163815e+02 4.0153583470592531e+02 3.9659612289693365e+02 3.9193779952062630e+02 3.8789743006665299e+02 3.8499281819548366e+02 3.8394875307862685e+02 3.8581623782679031e+02 3.9212698518637040e+02 4.0520198747870586e+02 4.2871591948202217e+02 4.6885434360266783e+02 7.1719013207412240e+02 +1.6398717080389463e-03 1.3194251735707087e+05 3.6813069502003316e+05 7.6968940290376043e+05 1.2732102427022902e+06 1.7133730601884301e+06 1.8715730245635516e+06 1.7020097626747442e+06 1.4034632824274651e+06 1.1297078237133764e+06 9.0292730959590152e+05 7.0847853208457981e+05 5.4430417233044375e+05 4.1042789799455617e+05 3.0410372367319319e+05 2.2143112559710257e+05 1.5864527635081887e+05 1.1199105821442482e+05 7.7916218380146296e+04 5.3428826007471893e+04 3.6123926633813346e+04 2.4108619827162285e+04 1.5928878458647559e+04 1.0534180887082881e+04 7.1050619967071561e+03 4.7392489473961132e+03 3.0729104479220846e+03 2.0696065558368437e+03 1.5249469311881430e+03 1.2415750675412612e+03 1.0980014457594332e+03 1.0265872684124008e+03 9.9114925207443014e+02 9.7296388820582797e+02 9.6264111672713216e+02 9.5560122665989172e+02 9.4965566361210199e+02 9.4376331347177677e+02 9.3741543414798878e+02 9.3034328942842262e+02 9.2238467008873442e+02 9.1271664183536143e+02 9.0178831191203028e+02 8.8951987476849581e+02 8.7585978447831769e+02 8.6079052655513988e+02 8.4433549700995127e+02 8.2656505385861851e+02 8.0760011682220261e+02 7.8761280724885819e+02 7.6681788013089920e+02 7.4546325544025842e+02 7.2382994261177589e+02 7.0221972275947996e+02 6.8090270244886642e+02 6.6012268964891018e+02 6.4010476150040608e+02 6.2102319341863961e+02 6.0301487015437431e+02 5.8616939396145142e+02 5.7055354938031383e+02 5.5618571951235469e+02 5.4307744636535983e+02 5.3120001123942802e+02 5.2053656996014308e+02 5.1103620372495919e+02 5.0264588680358884e+02 4.9531962771728286e+02 4.8899318887877922e+02 4.8359008551385284e+02 4.7905261002817213e+02 4.7529726822267855e+02 4.7225230089968073e+02 4.6983092226299357e+02 4.6794893056079547e+02 4.6648958405722146e+02 4.6534006353817398e+02 4.6440771370095450e+02 4.6360825040000827e+02 4.6286520883946162e+02 4.6234314921964312e+02 4.6181718211774682e+02 4.6128101308112531e+02 4.6071961473413006e+02 4.6014052979784827e+02 4.5952789131824335e+02 4.5889822811284330e+02 4.5820129419905209e+02 4.5745540965619597e+02 4.5664684488682951e+02 4.5576487867224205e+02 4.5479648307969495e+02 4.5372698165462930e+02 4.5253610418889667e+02 4.5122238916525026e+02 4.4974170128339779e+02 4.4808156147963888e+02 4.4621787711189211e+02 4.4412472075002472e+02 4.4177535417544425e+02 4.3914295795540085e+02 4.3619865697787361e+02 4.3294273805367123e+02 4.2932345053789209e+02 4.2535100350772296e+02 4.2103458591271794e+02 4.1640805410833161e+02 4.1152901439539846e+02 4.0650711592990962e+02 4.0150624725740101e+02 3.9679025060422964e+02 3.9269985869637094e+02 3.8975928580651151e+02 3.8870229452655690e+02 3.9059289999215434e+02 3.9698177859761336e+02 4.1021865812058024e+02 4.3402370833236921e+02 4.7465907269592100e+02 7.2605415453276976e+02 +1.6499786279990957e-03 1.3180454063517667e+05 3.6775268289638276e+05 7.6894524773789488e+05 1.2722252658008551e+06 1.7128357777836819e+06 1.8725425340371809e+06 1.7049245299307974e+06 1.4079157328084277e+06 1.1351492539014614e+06 9.0892060849949252e+05 7.1461126487766323e+05 5.5022588999303733e+05 4.1588830629120476e+05 3.0894755151990167e+05 2.2558258271941493e+05 1.6209734592171971e+05 1.1478595982538103e+05 8.0123619843019813e+04 5.5131233890635434e+04 3.7406839607090442e+04 2.5053802897687237e+04 1.6610599701100331e+04 1.1020028537980163e+04 7.4534541061576838e+03 4.9802380513305625e+03 3.2266623252177737e+03 2.1637263095566459e+03 1.5826727520431155e+03 1.2781960319381099e+03 1.1228289698667825e+03 1.0450452946025491e+03 1.0062725936544158e+03 9.8638532810845356e+02 9.7520566009529728e+02 9.6772909424489342e+02 9.6154664608950497e+02 9.5550668464703563e+02 9.4904660090605523e+02 9.4187187481974536e+02 9.3380796887237557e+02 9.2401696600041657e+02 9.1295178368029656e+02 9.0053060032510211e+02 8.8670081336369333e+02 8.7144452352861902e+02 8.5478535191819424e+02 8.3679450636295883e+02 8.1759440091053114e+02 7.9735929306630044e+02 7.7630660485019325e+02 7.5468733438036020e+02 7.3278597761712342e+02 7.1090805713108352e+02 6.8932702672479763e+02 6.6828971350126278e+02 6.4802397953551633e+02 6.2870625480554759e+02 6.1047511482464688e+02 5.9342126718002555e+02 5.7761231943501207e+02 5.6306687948771241e+02 5.4979662990566499e+02 5.3777249483088497e+02 5.2697741912382025e+02 5.1735984988771952e+02 5.0886609803915593e+02 5.0144959136054445e+02 4.9504528156603789e+02 4.8957571840213342e+02 4.8498246076500368e+02 4.8118096515785135e+02 4.7809857387682808e+02 4.7564742431616190e+02 4.7374227717098313e+02 4.7226495569000122e+02 4.7110125716522089e+02 4.7015739196632370e+02 4.6934804319093331e+02 4.6859580706501049e+02 4.6806728528531789e+02 4.6753480686695707e+02 4.6699199987426840e+02 4.6642365108722367e+02 4.6583739669710457e+02 4.6521717339127940e+02 4.6457971435699568e+02 4.6387415192021706e+02 4.6311903281010757e+02 4.6230045744861650e+02 4.6140757187983962e+02 4.6042718687538030e+02 4.5934444427639505e+02 4.5813882296992239e+02 4.5680884307195254e+02 4.5530982323602615e+02 4.5362912973596110e+02 4.5174237164511771e+02 4.4962330053378395e+02 4.4724484714514557e+02 4.4457986000251134e+02 4.4159910655283420e+02 4.3830287689521015e+02 4.3463878004111638e+02 4.3061715130666153e+02 4.2624729340757960e+02 4.2156348186407399e+02 4.1662403618352516e+02 4.1153996305771199e+02 4.0647718013644794e+02 4.0170279596016576e+02 3.9756176210515775e+02 3.9458478284455765e+02 3.9351470532012638e+02 3.9542871783836767e+02 4.0189669529109329e+02 4.1529745678282171e+02 4.3939723050271107e+02 4.8053568936994589e+02 7.3502770801205281e+02 +1.6601478393144654e-03 1.3166657256690739e+05 3.6737474271962396e+05 7.6820059978542221e+05 1.2712359040554278e+06 1.7122816015009936e+06 1.8734738930470124e+06 1.7077826976182275e+06 1.4123045717966424e+06 1.1405297403699220e+06 9.1486221081582527e+05 7.2070624840132252e+05 5.5612603191821382e+05 4.2134310762753419e+05 3.1379975285851210e+05 2.2975331182760058e+05 1.6557608643432110e+05 1.1761157960786176e+05 8.2362912757838625e+04 5.6864464875202822e+04 3.8717938440591883e+04 2.6023598469462409e+04 1.7312982720797158e+04 1.1522789909280855e+04 7.8156743045998892e+03 5.2320466529593341e+03 3.3881138614045753e+03 2.2629671263239748e+03 1.6436683180139055e+03 1.3168450323238635e+03 1.1488931122891354e+03 1.0642584055105297e+03 1.0218704875469327e+03 1.0001243587580395e+03 9.8800313022525631e+02 9.8004561812269617e+02 9.7360363076635633e+02 9.6740450953343407e+02 9.6082615290002957e+02 9.5354536175629289e+02 9.4537382816907677e+02 9.3545781720214859e+02 9.2425385595016451e+02 9.1167792322864784e+02 8.9767627805843597e+02 8.8223060211845711e+02 8.6536473181124848e+02 8.4715073004158512e+02 8.2771252161799771e+02 8.0722652598191485e+02 7.8591286514581054e+02 7.6402565368225589e+02 7.4185291749916428e+02 7.1970396717297967e+02 6.9785564533945285e+02 6.7655783567806429e+02 6.5604121964539308e+02 6.3648440835287101e+02 6.1802768885300202e+02 6.0076288757278962e+02 5.8475844509957096e+02 5.7003319674082945e+02 5.5659896720424786e+02 5.4442631891370377e+02 5.3349798300782368e+02 5.2376176448997592e+02 5.1516330251163424e+02 5.0765543667036263e+02 5.0117229765201955e+02 4.9563545745730806e+02 4.9098573210909018e+02 4.8713751561198956e+02 4.8401724050846173e+02 4.8153595403736773e+02 4.7960736656787151e+02 4.7811184870443873e+02 4.7693379728829910e+02 4.7597827447864074e+02 4.7515891796660793e+02 4.7439737347081871e+02 4.7386230952031394e+02 4.7332323915615234e+02 4.7277371200429377e+02 4.7219832670351229e+02 4.7160481407294225e+02 4.7097691201063014e+02 4.7033156060114766e+02 4.6961726278526243e+02 4.6885279474704635e+02 4.6802408482117119e+02 4.6712014467214829e+02 4.6612762177781303e+02 4.6503147402545534e+02 4.6381092629081257e+02 4.6246448009019451e+02 4.6094690127637040e+02 4.5924539954109559e+02 4.5733528198076135e+02 4.5518997518986947e+02 4.5278207477366533e+02 4.5008409310026332e+02 4.4706643574866587e+02 4.4372939614444078e+02 4.4001993502973227e+02 4.3594851552073811e+02 4.3152455550820866e+02 4.2678275486830898e+02 4.2178215514820772e+02 4.1663513738589143e+02 4.1150967346574436e+02 4.0667617868865221e+02 4.0248387573280598e+02 3.9947003924167342e+02 3.9838671341293872e+02 4.0032442285806644e+02 4.0687247872480611e+02 4.2043915171310152e+02 4.4483729882264976e+02 4.8648508255525661e+02 7.4411214554235971e+02 +1.6703797259015154e-03 1.3152861530696612e+05 3.6699686370230542e+05 7.6745548226172023e+05 1.2702422201278773e+06 1.7117107742951345e+06 1.8743675016231637e+06 1.7105847276455148e+06 1.4166301007580804e+06 1.1458492803914889e+06 9.2075175610961032e+05 7.2676278294305177e+05 5.6200363789611624e+05 4.2679119724984007e+05 3.1865920244826656e+05 2.3394227834081239e+05 1.6908063503930904e+05 1.2046727189262233e+05 8.4633681051475738e+04 5.8628318149507635e+04 4.0057204527520502e+04 2.7018126776228888e+04 1.8036240926689003e+04 1.2042733473770948e+04 8.1920240698695543e+03 5.4949802083437244e+03 3.5575358870433156e+03 2.3675461119588667e+03 1.7080955860835734e+03 1.3576359383464651e+03 1.1762699221592957e+03 1.0842751956812938e+03 1.0379729001232761e+03 1.0141990335112274e+03 1.0010443535905156e+03 9.9255744249245424e+02 9.8583093970810864e+02 9.7945986500744596e+02 9.7275651653851207e+02 9.6536584125498382e+02 9.5708416451651988e+02 9.4704101169298042e+02 9.3569628617591127e+02 9.2296355965925727e+02 9.0878785991570010e+02 8.9315041029130555e+02 8.7607525050273262e+02 8.5763530292041878e+02 8.3795601932766681e+02 8.1721600701527325e+02 7.9563812128832114e+02 7.7347963192173393e+02 7.5103213872785352e+02 7.2860878741282090e+02 7.0648985156225751e+02 6.8492830933179846e+02 6.6415769643557132e+02 6.4435883200999797e+02 6.2567373567617096e+02 6.0819536636351108e+02 5.9199300780100884e+02 5.7708572533984716e+02 5.6348548742089440e+02 5.5116249012207004e+02 5.4009924806489710e+02 5.3024291603316192e+02 5.2153845288850653e+02 5.1393810249733531e+02 5.0737516404934007e+02 5.0177021938457017e+02 4.9706333217599422e+02 4.9316782057638028e+02 4.9000919600107801e+02 4.8749740202645347e+02 4.8554508577034875e+02 4.8403114734306507e+02 4.8283856596445219e+02 4.8187124152509944e+02 4.8104175349652849e+02 4.8027078541847550e+02 4.7972909829607880e+02 4.7918335435893550e+02 4.7862702382878024e+02 4.7804451487714283e+02 4.7744365412163705e+02 4.7680797821141169e+02 4.7615463668660419e+02 4.7543149531468958e+02 4.7465756257293367e+02 4.7381859257865295e+02 4.7290346095103030e+02 4.7189864985429006e+02 4.7078893094142836e+02 4.6955327193299053e+02 4.6819015551237271e+02 4.6665378788918537e+02 4.6493122023333348e+02 4.6299745392432823e+02 4.6082558655646227e+02 4.5838787444617651e+02 4.5565648964321747e+02 4.5260147137967698e+02 4.4922311644283303e+02 4.4546772928537422e+02 4.4134590240210690e+02 4.3686717028531154e+02 4.3206666242288082e+02 4.2700415134235038e+02 4.2179340944867528e+02 4.1660448830023529e+02 4.1171115090482533e+02 4.0746694394057181e+02 4.0441579378609936e+02 4.0331905558929503e+02 4.0528075542014028e+02 4.1190988137788895e+02 4.2564452048107205e+02 4.5034473598414741e+02 4.9250815196749528e+02 7.5330883685982644e+02 +1.6806746740428745e-03 1.3139066729449763e+05 3.6661905788093229e+05 7.6670990868686524e+05 1.2692442964439518e+06 1.7111235064464801e+06 1.8752237971235805e+06 1.7133310982217144e+06 1.4208926268534253e+06 1.1511078849098796e+06 9.2658890481913323e+05 7.3278019164541038e+05 5.6785776916657062e+05 4.3223148607111367e+05 3.2352478265093925e+05 2.3814844638784489e+05 1.7261011940549698e+05 1.2335237524839329e+05 8.6935489085665598e+04 6.0422572136054856e+04 4.1424599599457506e+04 2.8037491223744415e+04 1.8780574749728978e+04 1.2580118866296478e+04 8.5828000451296703e+03 5.7693432190719950e+03 3.7352014228433072e+03 2.4776843651480845e+03 1.7761210714104125e+03 1.4006868982644478e+03 1.2050390038876778e+03 1.1051469593023073e+03 1.0546117044000719e+03 1.0286286733832128e+03 1.0143409582149901e+03 1.0052716987243706e+03 9.9823318339434775e+02 9.9167599736380248e+02 9.8484021957937318e+02 9.7733546815483817e+02 9.6894093814032192e+02 9.5876839824188346e+02 9.4728085871649273e+02 9.3438924979851095e+02 9.2003726268826574e+02 9.0420561740945470e+02 8.8691854246907360e+02 8.6824982306933191e+02 8.4832645388971071e+02 8.2732925609284962e+02 8.0548385189105670e+02 7.8305070545654814e+02 7.6032503499224072e+02 7.3762386904516029e+02 7.1523095478513414e+02 6.9340240321839212e+02 6.7237463961461424e+02 6.5233071835926580e+02 6.3341441292000388e+02 6.1571982855373574e+02 5.9931710236416848e+02 5.8422553240364959e+02 5.7045723244878400e+02 5.5798202753953160e+02 5.4678221293488684e+02 5.3680428497486218e+02 5.2799251358421270e+02 5.2029853924792428e+02 5.1365481905713705e+02 5.0798093212106755e+02 5.0321618017805463e+02 4.9927279202333261e+02 4.9607534644358424e+02 4.9353266968950891e+02 4.9155633254458030e+02 4.9002374655234797e+02 4.8881645592237362e+02 4.8783718403929697e+02 4.8699743917898303e+02 4.8621693087817300e+02 4.8566853858153127e+02 4.8511603843543350e+02 4.8455282028062294e+02 4.8396309946205758e+02 4.8335479958646897e+02 4.8271125356181290e+02 4.8204982297371976e+02 4.8131772853146470e+02 4.8053421387990170e+02 4.7968485676129819e+02 4.7875839506561744e+02 4.7774114359520888e+02 4.7661768546362981e+02 4.7536672805162601e+02 4.7398673497282294e+02 4.7243134586870127e+02 4.7068745142278732e+02 4.6872974351011271e+02 4.6653098665123980e+02 4.6406309367340117e+02 4.6129789209323206e+02 4.5820505025865504e+02 4.5478486835811981e+02 4.5098298643164742e+02 4.4681012795325768e+02 4.4227594546090143e+02 4.3741600337375615e+02 4.3229081425254418e+02 4.2701555909791813e+02 4.2176239489800679e+02 4.1680847382031652e+02 4.1251172009329065e+02 4.0942279420068479e+02 4.0831247754385640e+02 4.1029846484683623e+02 4.1700966482825322e+02 4.3091435005878685e+02 4.5592037462758236e+02 4.9860580820315846e+02 7.6261916861285101e+02 +1.6910330724019236e-03 1.3125272873162309e+05 3.6624132475164381e+05 7.6596387526964152e+05 1.2682421947062167e+06 1.7105200279795709e+06 1.8760431530240504e+06 1.7160222634179331e+06 1.4250924550011514e+06 1.1563055793630278e+06 9.3237333853675087e+05 7.3875782048703451e+05 5.7368750840652676e+05 4.3766290107454476e+05 3.2839538413315173e+05 2.4237077959260266e+05 1.7616365855165571e+05 1.2626621321020859e+05 8.9267882191283730e+04 6.2246984780852523e+04 4.2820065762644350e+04 2.9081778205452298e+04 1.9546171297614390e+04 1.3135196442211056e+04 8.9882935518605464e+03 6.0554387701073301e+03 3.9213853230522327e+03 2.5936067588641345e+03 1.8479157551421347e+03 1.4461203399812914e+03 1.2352835732243066e+03 1.1269277686284559e+03 1.0718207584224194e+03 1.0434339334155618e+03 1.0279054240256337e+03 1.0181960405393341e+03 1.0108152837712487e+03 1.0040563366747259e+03 9.9707989973601218e+02 9.8945646614959037e+02 9.8094615588585316e+02 9.7064185980509274e+02 9.5900938583200070e+02 9.4595675848168719e+02 9.3142621299570044e+02 9.1539791459970058e+02 8.9789626316888769e+02 8.7899590888891805e+02 8.5882540489419364e+02 8.3756781230212721e+02 8.1545155415368106e+02 7.9274032865594575e+02 7.6973301742591286e+02 7.4675058014535341e+02 7.2408028073372998e+02 7.0198140189417859e+02 6.8069329418722054e+02 6.6040127479822843e+02 6.4125089257843763e+02 6.2333741309560480e+02 6.0673183717966117e+02 5.9145369826310821e+02 5.7751525707258213e+02 5.6488596284638345e+02 5.5354788859604275e+02 5.4344686387026309e+02 5.3452646089660050e+02 5.2673770901804608e+02 5.2001221248663114e+02 5.1426853495518196e+02 5.0944520653666888e+02 5.0545335301114523e+02 5.0221660890927990e+02 4.9964266933543803e+02 4.9764201549627853e+02 4.9609055207281574e+02 4.9486837065211671e+02 4.9387700369071439e+02 4.9302687512653790e+02 4.9223670851848453e+02 4.9168152803105841e+02 4.9112218801895108e+02 4.9055199695022992e+02 4.8995497496040281e+02 4.8933914384511280e+02 4.8868763024972861e+02 4.8801801042792903e+02 4.8727685204786496e+02 4.8648363683227484e+02 4.8562376396398577e+02 4.8468583189865637e+02 4.8365598600276780e+02 4.8251861851737954e+02 4.8125217326022488e+02 4.7985509453372691e+02 4.7828044840302385e+02 4.7651496307283514e+02 4.7453301708407463e+02 4.7230703775754529e+02 4.6980859017676647e+02 4.6700915305998438e+02 4.6387801927953547e+02 4.6041549246199526e+02 4.5656654001324870e+02 4.5234201800671207e+02 4.4775169848673511e+02 4.4283158619027341e+02 4.3764294287463485e+02 4.3230237558013152e+02 4.2698417279603996e+02 4.2196891781535840e+02 4.1761896662938165e+02 4.1449179721521762e+02 4.1336773395503417e+02 4.1537830948599304e+02 4.2217259982867478e+02 4.3624943689841763e+02 4.6156505742381768e+02 5.0477897282789547e+02 7.7204454457061024e+02 +1.7014553120374683e-03 1.3111479820897413e+05 3.6586366249011899e+05 7.6521740649992763e+05 1.2672359840364424e+06 1.7099005386475595e+06 1.8768260313288569e+06 1.7186587079296825e+06 1.4292299219521405e+06 1.1614424056694543e+06 9.3810475929543562e+05 7.4469503869168041e+05 5.7949195969481347e+05 4.4308438564737787e+05 3.3326990649868135e+05 2.4660824184737384e+05 1.7974036367233028e+05 1.2920809501349609e+05 9.1630387221237834e+04 6.4101293868589193e+04 4.4243525563510266e+04 3.0151056946056684e+04 2.0333204031877576e+04 1.3708206850345345e+04 9.4087901084545265e+03 6.3535680636453690e+03 4.1163639075656711e+03 2.7155417071907500e+03 1.9236549783035905e+03 1.4940629612618657e+03 1.2670905064706751e+03 1.1496745491960507e+03 1.0896359830869574e+03 1.0586368700092441e+03 1.0417511347814129e+03 1.0313386808185896e+03 1.0235824986604222e+03 1.0166045121530442e+03 1.0094783139793809e+03 1.0017311332785948e+03 9.9310187442404663e+02 9.8266331534711765e+02 9.7088370876934471e+02 9.5766787589684725e+02 9.4295646082012570e+02 9.2672901514794285e+02 9.0901008937238839e+02 8.8987519941188009e+02 8.6945447194389590e+02 8.4793323414988924e+02 8.2554274411131598e+02 8.0254997414094828e+02 7.7925751482905980e+02 7.5599030588487710e+02 7.3303917167189115e+02 7.1066660591741527e+02 6.8911492064469644e+02 6.6857172372669379e+02 6.4918436118948534e+02 6.3104927306301011e+02 6.1423833436871780e+02 5.9877131662349973e+02 5.8466062912377515e+02 5.7187534047776171e+02 5.6039729850858771e+02 5.5017165751829577e+02 5.4114128314642471e+02 5.3325658572513646e+02 5.2644830578588142e+02 5.2063397864556293e+02 5.1575135299263684e+02 5.1171043778668667e+02 5.0843391155057049e+02 5.0582832426478143e+02 5.0380305415846107e+02 5.0223248052270191e+02 5.0099522448523726e+02 4.9999161296468486e+02 4.9913097224652927e+02 4.9833102778507265e+02 4.9776897506394306e+02 4.9720271049443744e+02 4.9662546017041751e+02 4.9602104660023127e+02 4.9539759098793485e+02 4.9473801116267947e+02 4.9406010069929090e+02 4.9330976614477458e+02 4.9250673024531346e+02 4.9163621141313661e+02 4.9068666694296388e+02 4.8964407066834752e+02 4.8849262159252709e+02 4.8721049670825983e+02 4.8579612076394500e+02 4.8420197915099760e+02 4.8241463558164423e+02 4.8040815138159229e+02 4.7815461249691640e+02 4.7562523196289698e+02 4.7279113537836434e+02 4.6962123549136345e+02 4.6611583940684739e+02 4.6221923357200194e+02 4.5794240829858074e+02 4.5329525661815887e+02 4.4831422903720431e+02 4.4306134578785066e+02 4.3765465760656093e+02 4.3227061088016234e+02 4.2719326250913377e+02 4.2278945513192986e+02 4.1962356863490078e+02 4.1848558855088123e+02 4.2052105678065709e+02 4.2739946637541271e+02 4.4165058700431280e+02 4.6727963714841138e+02 5.1102857845841493e+02 7.8158638583437460e+02 +1.7119417864185028e-03 1.3097687597293967e+05 3.6548607725365984e+05 7.6447051522189786e+05 1.2662257372242401e+06 1.7092652622471913e+06 1.8775728207574131e+06 1.7212409005481433e+06 1.4333053568641301e+06 1.1665184194814519e+06 9.4378288836809329e+05 7.5059123852068768e+05 5.8527024859433982e+05 4.4849489988412114e+05 3.3814725884699327e+05 2.5085979807991095e+05 1.8333933895543276e+05 1.3217731633297840e+05 9.4022513119015202e+04 6.5985217362332638e+04 4.5694882082789278e+04 3.1245379372950334e+04 2.1141832467935077e+04 1.4299380621659939e+04 9.8445689556320303e+03 6.6640299503346987e+03 4.3204145835339386e+03 2.8437209179951592e+03 2.0035183217016408e+03 1.5446457087845463e+03 1.3005503824016091e+03 1.1734471513796266e+03 1.1080954390672259e+03 1.0742610090212499e+03 1.0558924315137945e+03 1.0447084300106633e+03 1.0365404475558651e+03 1.0293243685708824e+03 1.0220383485686931e+03 1.0141618478881605e+03 1.0054102037583162e+03 9.9483472184215498e+02 9.8290569894978125e+02 9.6952441833933972e+02 9.5462978003554156e+02 9.3820065490646550e+02 9.2026171950818127e+02 9.0088935460616392e+02 8.8021527493682800e+02 8.5842709982932547e+02 8.3575895688315677e+02 8.1248113301808462e+02 7.8889997390246003e+02 7.6534444875229963e+02 7.4210898661452120e+02 7.1945933205044628e+02 6.9764079516136269e+02 6.7684330273381192e+02 6.5721602002172278e+02 6.3885657582880401e+02 6.2183772995622815e+02 6.0617949472781424e+02 5.9189442964276066e+02 5.7895121777353779e+02 5.6733147876981161e+02 5.5697968310450415e+02 5.4783798081496434e+02 5.3985615524090883e+02 5.3296407216549812e+02 5.2707822553638994e+02 5.2213557271261425e+02 5.1804499188201805e+02 5.1472819368875400e+02 5.1209056885343807e+02 5.1004037906903443e+02 5.0845045947362485e+02 5.0719794267051532e+02 5.0618193523677695e+02 5.0531065231680310e+02 5.0450080897409867e+02 5.0393179893726938e+02 5.0335852407256391e+02 5.0277412708491812e+02 5.0216223041095378e+02 5.0153105589281654e+02 5.0086330995964806e+02 5.0017700619498891e+02 4.9941738184389675e+02 4.9860440365755028e+02 4.9772310704010800e+02 4.9676180637606524e+02 4.9570630184342946e+02 4.9454059681411672e+02 4.9324259815335193e+02 4.9181071080922067e+02 4.9019683231410613e+02 4.8838735985013699e+02 4.8635603359837086e+02 4.8407459390450276e+02 4.8151389739425593e+02 4.7864471217690220e+02 4.7543556616952429e+02 4.7188676999350690e+02 4.6794192071256316e+02 4.6361214453516635e+02 4.5890745697933636e+02 4.5386475984087161e+02 4.4854684121634830e+02 4.4307321341771041e+02 4.3762250744729306e+02 4.3248229682326746e+02 4.2802396638841213e+02 4.2481888340042525e+02 4.2366681417053081e+02 4.2572748332955092e+02 4.3269105376957651e+02 4.4711861599614474e+02 4.7306497675281372e+02 5.1735556883893253e+02 7.9124613105118351e+02 +1.7224928914390647e-03 1.3083895993476697e+05 3.6510856358594273e+05 7.6372320939552400e+05 1.2652115116239053e+06 1.7086144110598916e+06 1.8782839204519275e+06 1.7237692972564327e+06 1.4373190945489004e+06 1.1715336946686846e+06 9.4940746791296161e+05 7.5644583497552772e+05 5.9102152236164990e+05 4.5389342097076133e+05 3.4302636030736967e+05 2.5512441501148287e+05 1.8695968239150214e+05 1.3517316002404146e+05 9.6443751502634390e+04 6.7898453767089377e+04 4.7174019057883517e+04 3.2364780015078792e+04 2.1972201898476163e+04 1.4908937774250164e+04 1.0295902589687243e+04 6.9871204588165965e+03 4.5338154574046412e+03 2.9783791318543936e+03 2.0876894718834901e+03 1.5980037457392646e+03 1.3357575164213988e+03 1.1983084178790486e+03 1.1272394025022220e+03 1.0903314144111707e+03 1.0703446673477051e+03 1.0583147361197443e+03 1.0496951388122529e+03 1.0422199837609521e+03 1.0347630298470758e+03 1.0267510751029458e+03 1.0178733110449045e+03 1.0071580764598539e+03 9.9507725925835609e+02 9.8152822902784885e+02 9.6644796897579283e+02 9.4981459272454833e+02 9.3165287401889975e+02 9.1204005569084006e+02 8.9110945435379494e+02 8.6905100748657378e+02 8.4610174692822068e+02 8.2253531513002167e+02 7.9866185947415102e+02 7.7481442877512507e+02 7.5129110153974716e+02 7.2836091346427838e+02 7.0627220979141202e+02 6.8521726478735229e+02 6.6534708525180247e+02 6.4676050324120331e+02 6.2953117403883573e+02 6.1367935352515713e+02 5.9921775303816855e+02 5.8611466513766834e+02 5.7435147826028549e+02 5.6387197034745350e+02 5.5461756668476391e+02 5.4653741552107624e+02 5.3956049671982669e+02 5.3360224966752526e+02 5.2859883038899716e+02 5.2445797220728809e+02 5.2110040589646997e+02 5.1843034863005687e+02 5.1635493184136476e+02 5.1474542751941181e+02 5.1347746143887525e+02 5.1244890483641882e+02 5.1156684804540168e+02 5.1074698329503013e+02 5.1017092980856307e+02 5.0959055785403285e+02 5.0899892571512771e+02 5.0837945328380545e+02 5.0774046428545836e+02 5.0706445113436820e+02 5.0636965014183977e+02 5.0560062096936787e+02 5.0477757739328115e+02 5.0388536954168802e+02 5.0291216712117739e+02 5.0184359450244864e+02 5.0066345700565262e+02 4.9934938802260103e+02 4.9789977245373336e+02 4.9626591269851212e+02 4.9443403734332406e+02 4.9237756145056505e+02 4.9006787548417543e+02 4.8747547524955263e+02 4.8457076693803288e+02 4.8132188887279949e+02 4.7772915523121469e+02 4.7373546516166743e+02 4.6935208245224891e+02 4.6458914662215739e+02 4.5948401634417974e+02 4.5410025708858421e+02 4.4855886083761118e+02 4.4304067026155877e+02 4.3783681903258503e+02 4.3332329044604455e+02 4.3007852564312668e+02 4.2891219281922582e+02 4.3099837494084443e+02 4.3804816067220617e+02 4.5265434916526289e+02 4.7892194941997457e+02 5.2376089890402238e+02 8.0102523663079921e+02 +1.7331090254331806e-03 1.3070105146211598e+05 3.6473112286089541e+05 7.6297550823033543e+05 1.2641933730545477e+06 1.7079481831558386e+06 1.8789597261092151e+06 1.7262444018443667e+06 1.4412714755644351e+06 1.1764883169950212e+06 9.5497826083294372e+05 7.6225826591128681e+05 5.9674495008204365e+05 4.5927894363634795e+05 3.4790614058517572e+05 2.5940106190227807e+05 1.9060048657034928e+05 1.3819489686651851e+05 9.8893577261914703e+04 6.9840682515266279e+04 4.8680801032056079e+04 3.3509275929511030e+04 2.2824443140834377e+04 1.5537087435747157e+04 1.0763056304969099e+04 7.3231323249823981e+03 4.7568449383702500e+03 3.1197538477792432e+03 2.1763560731900602e+03 1.6542764076868641e+03 1.3728099865746904e+03 1.2243242466775828e+03 1.1471104390916028e+03 1.1068747572083369e+03 1.0851242636008717e+03 1.0721677262276366e+03 1.0630529982456862e+03 1.0552956872257514e+03 1.0476555358386324e+03 1.0395013738338644e+03 1.0304934247628134e+03 1.0196354189503451e+03 1.0074003254597596e+03 9.9368117899148922e+02 9.7841285103691530e+02 9.6157261090441591e+02 9.4318529573457761e+02 9.2332900546066105e+02 9.0213867155453238e+02 8.7980657549878470e+02 8.5657268830636292e+02 8.3271404929615130e+02 8.0854465474230756e+02 7.8440168374707184e+02 7.6058690960831268e+02 7.3737269994785061e+02 7.1501047266983130e+02 6.9369487842834633e+02 6.7357878815413733e+02 6.5476225180156280e+02 6.3731983096161343e+02 6.2127202783637779e+02 6.0663170724956410e+02 5.9336676619389027e+02 5.8145835879989932e+02 5.7084956164394509e+02 5.6148106597733511e+02 5.5330137673679280e+02 5.4623857654713618e+02 5.4020703688503897e+02 5.3514210233893220e+02 5.3095034713453276e+02 5.2755151007378447e+02 5.2484862034087598e+02 5.2274766522643347e+02 5.2111833433157676e+02 5.1983472805844303e+02 5.1879346709968479e+02 5.1790050312778862e+02 5.1707049292411864e+02 5.1648730879044297e+02 5.1589975187867526e+02 5.1530079501040473e+02 5.1467365302448093e+02 5.1402675279404491e+02 5.1334237006725243e+02 5.1263896663865489e+02 5.1186041620220311e+02 5.1102718261361974e+02 5.1012392843426960e+02 5.0913867689898592e+02 5.0805687439568834e+02 5.0686212573964974e+02 5.0553178746529835e+02 5.0406422417196001e+02 5.0241013576403464e+02 5.0055558014322708e+02 4.9847364322533724e+02 4.9613536126387459e+02 4.9351086477346536e+02 4.9057019354850615e+02 4.8728109149413871e+02 4.8364387638541899e+02 4.7960074081838263e+02 4.7516308786252671e+02 4.7034118257282421e+02 4.6517284615651045e+02 4.5972243108180623e+02 4.5411242732202953e+02 4.4852591659882250e+02 4.4325763681425667e+02 4.3868822665488392e+02 4.3540328872771767e+02 4.3422251570911044e+02 4.3633452667566155e+02 4.4347159514947492e+02 4.5825862152217184e+02 4.8485143861571640e+02 5.3024553483463080e+02 8.1092517696394464e+02 +1.7437905891899046e-03 1.3056315027790636e+05 3.6435375994047150e+05 7.6222741521685501e+05 1.2631713935387188e+06 1.7072668095014717e+06 1.8796006642323567e+06 1.7286666627977898e+06 1.4451628511784961e+06 1.1813823824980464e+06 9.6049504819976725e+05 7.6802799160309462e+05 6.0243972262549424e+05 4.6465048053034046e+05 3.5278554051798442e+05 2.6368871127494867e+05 1.9426083946287804e+05 1.4124178631190615e+05 1.0137144916844157e+05 7.1811564373577872e+04 5.0215073530451657e+04 3.4678866655455553e+04 2.3698672308358797e+04 1.6184027483723099e+04 1.1246287746397629e+04 7.6723545220147398e+03 4.9897813341794317e+03 3.2680850362823162e+03 2.2697095660378350e+03 1.7136071464940801e+03 1.4118096509677823e+03 1.2515636490456118e+03 1.1677534762402508e+03 1.1239193845317184e+03 1.1002487670129065e+03 1.0862782495043114e+03 1.0766208991430572e+03 1.0685560798911481e+03 1.0607192086802859e+03 1.0524154043465435e+03 1.0432728392411927e+03 1.0322688342571719e+03 1.0198768677323994e+03 1.0059851680269030e+03 9.9052627532190297e+02 9.7347651568044660e+02 9.5486075025997445e+02 9.3475792862228207e+02 9.1330460908162001e+02 8.9069544275380360e+02 8.6717337494296112e+02 8.4301888356846962e+02 8.1854986150968637e+02 7.9410766945777948e+02 7.6999782137888747e+02 7.4649605811914364e+02 7.2385690821185722e+02 7.0227742796539360e+02 6.8191237528807255e+02 6.6286303284826590e+02 6.4520487948994855e+02 6.2895866652470932e+02 6.1413741391187136e+02 6.0070861794439804e+02 5.8865319529687167e+02 5.7791351221456080e+02 5.6842951649001611e+02 5.6014906140336313e+02 5.5299932086650631e+02 5.4689358494592409e+02 5.4176637659350092e+02 5.3752309657579951e+02 5.3408247951255112e+02 5.3134635200698324e+02 5.2921954316126426e+02 5.2757014070478419e+02 5.2627070087573327e+02 5.2521657841287811e+02 5.2431257228317634e+02 5.2347229104362987e+02 5.2288188798817930e+02 5.2228705716866182e+02 5.2168068488740505e+02 5.2104577839428589e+02 5.2039086898641165e+02 5.1969801306492730e+02 5.1898590069522095e+02 5.1819771111665841e+02 5.1735416135846287e+02 5.1643972409126297e+02 5.1544227426672023e+02 5.1434707808609039e+02 5.1313753737689888e+02 5.1179072838936321e+02 5.1030499516719976e+02 5.0863042766515360e+02 5.0675291098390340e+02 5.0464519782079128e+02 5.0227796582942653e+02 4.9962097571452648e+02 4.9664389633580686e+02 4.9331407229841858e+02 4.8963182501563546e+02 4.8553863178962894e+02 4.8104603669185741e+02 4.7616443186891235e+02 4.7093210678787796e+02 4.6541421065897208e+02 4.5973474999235276e+02 4.5407907328137776e+02 4.4874556727880781e+02 4.4411958370287704e+02 4.4079397528593535e+02 4.3959858329631697e+02 4.4173674288343386e+02 4.4896217470766601e+02 4.6393227783111297e+02 4.9085433812634307e+02 5.3681045409748219e+02 8.2094744464513303e+02 +1.7545379859684493e-03 1.3042525495626780e+05 3.6397647277359047e+05 7.6147894817784755e+05 1.2621456236120809e+06 1.7065704837989684e+06 1.8802071128071349e+06 1.7310365553770273e+06 1.4489935810415940e+06 1.1862159989439500e+06 9.6595762934495020e+05 7.7375449388060882e+05 6.0810505270900764e+05 4.7000706241925212e+05 3.5766351263455901e+05 2.6798633961209457e+05 1.9793982519057638e+05 1.4431307723004857e+05 1.0387681049700595e+05 7.3810741870409198e+04 5.1776663261642621e+04 3.5873534195160166e+04 2.4594990606254418e+04 1.6849944204831056e+04 1.1745846473254262e+04 8.0350717925208619e+03 5.2329024402855848e+03 3.4236148404004120e+03 2.3679450116027915e+03 1.7761434621321641e+03 1.4528621562504773e+03 1.2800988021690703e+03 1.1892158728711522e+03 1.1414953884275164e+03 1.1157369079630816e+03 1.1006579216464365e+03 1.0904061936743551e+03 1.0820060550281985e+03 1.0739575679147645e+03 1.0654959364429753e+03 1.0562139195843051e+03 1.0450604553578178e+03 1.0325088923464493e+03 1.0184421257353863e+03 1.0027901173420619e+03 9.8552813772814818e+02 9.6668102638190283e+02 9.4632857214233741e+02 9.2460897097107909e+02 9.0171926893862064e+02 8.7790542089742166e+02 8.5345138548539057e+02 8.2867900043120255e+02 8.0393385992347760e+02 7.7952526503740239e+02 7.5573237163593956e+02 7.3281285732389802e+02 7.1096621367181865e+02 6.9034910868723932e+02 6.7106407273957029e+02 6.5318751298961604e+02 6.3674043266602746e+02 6.2173600851897857e+02 6.0814133092957331e+02 5.9593707590251802e+02 5.8506489025022961e+02 5.7546396873543245e+02 5.6708150450529945e+02 5.5984375113221859e+02 5.5366290361299650e+02 5.4847265297938293e+02 5.4417721204921122e+02 5.4069429895005885e+02 5.3792452296680244e+02 5.3577154080511309e+02 5.3410181858776559e+02 5.3278634934465470e+02 5.3171920623443214e+02 5.3080402128235392e+02 5.2995334186720606e+02 5.2935563052527596e+02 5.2875343574974659e+02 5.2813955625574647e+02 5.2749678913315461e+02 5.2683377139648337e+02 5.2613233738546614e+02 5.2541140825815046e+02 5.2461346020696737e+02 5.2375946656794156e+02 5.2283370776912102e+02 5.2182390864424542e+02 5.2071515297486144e+02 5.1949063709112397e+02 5.1812715348771042e+02 5.1662302539534471e+02 5.1492772527316470e+02 5.1302696327977662e+02 5.1089315476731508e+02 5.0849661435262726e+02 5.0580672835001570e+02 5.0279279009357748e+02 4.9942173994586682e+02 4.9569390299978272e+02 4.9155003241295941e+02 4.8700181500309327e+02 4.8205977158101109e+02 4.7676266567123685e+02 4.7117645308943020e+02 4.6542667565632445e+02 4.5970097670046516e+02 4.5430143699343438e+02 4.4961817963543729e+02 4.4625139723838839e+02 4.4504120529929457e+02 4.4720583722025515e+02 4.5452072631205675e+02 4.6967617263191795e+02 4.9693155208103320e+02 5.4345664546916964e+02 8.3109355069663286e+02 +1.7653516215134098e-03 1.3028736373171544e+05 3.6359926371357596e+05 7.6073011251119012e+05 1.2611161307415206e+06 1.7058593829910439e+06 1.8807794861541183e+06 1.7333545736377728e+06 1.4527640345228652e+06 1.1909892914499389e+06 9.7136582398143888e+05 7.7943727602769260e+05 6.1374017486661789e+05 4.7534773826774204e+05 3.6253902169297670e+05 2.7229292802198383e+05 2.0163652478449140e+05 1.4740800865733559e+05 1.0640908965716817e+05 7.5837839741518153e+04 5.3365378344063538e+04 3.7093243021830334e+04 2.5513484152065797e+04 1.7535011973472363e+04 1.2261973535199872e+04 8.4115641837844396e+03 5.4864851234705311e+03 3.5865872653590277e+03 2.4712609031238071e+03 1.8420368222192235e+03 1.4960769367838118e+03 1.3100050959594282e+03 1.2115474865450885e+03 1.1596346742261451e+03 1.1316086595064899e+03 1.1153191706689520e+03 1.1044167457062092e+03 1.0956508203530425e+03 1.0873743246891929e+03 1.0787458582490669e+03 1.0693191070079999e+03 1.0580124663639983e+03 1.0452984434932498e+03 1.0310540126537308e+03 1.0152062797561895e+03 9.9772933270225042e+02 9.7864793649457056e+02 9.5804270560451948e+02 9.3605348307213865e+02 9.1287973483311487e+02 8.8877046064165711e+02 8.6401314233258063e+02 8.3893361125792921e+02 8.1388174762515530e+02 7.8917068661627638e+02 7.6508304141750307e+02 7.4187967760501272e+02 7.1976255198234799e+02 6.9889026605171136e+02 6.7936661303527876e+02 6.6126893960101916e+02 6.4461850372039703e+02 6.2942864059219733e+02 6.1566602938738833e+02 6.0331110216452237e+02 5.9230477705816202e+02 5.8258548607694843e+02 5.7409975362059265e+02 5.6677290114143375e+02 5.6051601475140308e+02 5.5526194319491935e+02 5.5091369673671670e+02 5.4738796461208551e+02 5.4458412390659043e+02 5.4240464455843301e+02 5.4071435109635274e+02 5.3938265403635341e+02 5.3830232910719292e+02 5.3737582695451840e+02 5.3651462064753366e+02 5.3590951055155631e+02 5.3529986066255401e+02 5.3467838102577423e+02 5.3402765596802897e+02 5.3335642953065235e+02 5.3264631124408197e+02 5.3191645621593784e+02 5.3110862889373914e+02 5.3024406209043730e+02 5.2930684161291924e+02 5.2828454031728859e+02 5.2716205730951890e+02 5.2592238087521821e+02 5.2454201624444659e+02 5.2301926557290426e+02 5.2130297618463806e+02 5.1937868112930914e+02 5.1721845423695333e+02 5.1479224259425450e+02 5.1206905349128988e+02 5.0901780008666168e+02 5.0560501349776945e+02 5.0183102253849125e+02 4.9763584726398602e+02 4.9303131900183314e+02 4.8802808882053358e+02 4.8266540017058395e+02 4.7701002545618167e+02 4.7118906081644400e+02 4.6539247282161529e+02 4.5992608198669626e+02 4.5518484186342624e+02 4.5177637579995826e+02 4.5055120070550475e+02 4.5274263265765080e+02 4.6014808639462575e+02 4.7549117024664071e+02 5.0308399495782140e+02 5.5018510904740992e+02 8.4136502479585806e+02 +1.7762319040700819e-03 1.3014947910568588e+05 3.6322213629673765e+05 7.5998093218700367e+05 1.2600829871541017e+06 1.7051337465845537e+06 1.8813181402823129e+06 1.7356211735325763e+06 1.4564745773901511e+06 1.1957023990796593e+06 9.7671946906528156e+05 7.8507586315835675e+05 6.1934434520544671e+05 4.8067157539277704e+05 3.6741104514060688e+05 2.7660746288356115e+05 2.0535001693464286e+05 1.5052581054107132e+05 1.0896770083324861e+05 7.7892465394212530e+04 5.4981008556194203e+04 3.8337940113920617e+04 2.6454223820768937e+04 1.8239392950376703e+04 1.2794901061539535e+04 8.8021065874676442e+03 5.7508049008445741e+03 3.7572478575358359e+03 2.5798589641130352e+03 1.9114425692231162e+03 1.5415672041927462e+03 1.3413611736665357e+03 1.2348007374839067e+03 1.1783710281443089e+03 1.1478852970527641e+03 1.1302752839656252e+03 1.1186609649795028e+03 1.1094959213307598e+03 1.1009733968684204e+03 1.0921681856748455e+03 1.0825909246114436e+03 1.0711271058869004e+03 1.0582476052729041e+03 1.0438228214731753e+03 1.0277766931774347e+03 1.0100819818126130e+03 9.9076331704203255e+02 9.6990212158719680e+02 9.4763989338005570e+02 9.2417854261294030e+02 8.9977014933729117e+02 8.7470576140901881e+02 8.4931525309117160e+02 8.2395284374811558e+02 7.9893555022779663e+02 7.7454948585847831e+02 7.5105874356115726e+02 7.2866777570005286e+02 7.0753714094144516e+02 6.8777191068954573e+02 6.6945038242590920e+02 6.5259407170952625e+02 6.3721647384715550e+02 6.2328385141457909e+02 6.1077638918065873e+02 5.9963426720689222e+02 5.8979514486057042e+02 5.8120486904346660e+02 5.7378781713780461e+02 5.6745395240853634e+02 5.6213527087141279e+02 5.5773356552701443e+02 5.5416448423554641e+02 5.5132615686913618e+02 5.4911985206509553e+02 5.4740873250897016e+02 5.4606060662927871e+02 5.4496693664527470e+02 5.4402897717487826e+02 5.4315711366211224e+02 5.4254451322872251e+02 5.4192731594811744e+02 5.4129814209400070e+02 5.4063936059944899e+02 5.3995982385630055e+02 5.3924091380289553e+02 5.3850202238869133e+02 5.3768419351219893e+02 5.3680892267217655e+02 5.3586009864589971e+02 5.3482514043003368e+02 5.3368876016974082e+02 5.3243373553072809e+02 5.3103628092344218e+02 5.2949467716440688e+02 5.2775713870878678e+02 5.2580901930401501e+02 5.2362204703078646e+02 5.2116579689571051e+02 5.1840889247272628e+02 5.1531986204074678e+02 5.1186482240543677e+02 5.0804410614668296e+02 5.0379699114477859e+02 4.9913545502575033e+02 4.9407028072764450e+02 4.8864119756678656e+02 4.8291580464519262e+02 4.7702277165680778e+02 4.7115441717330873e+02 4.6562034773929992e+02 4.6082040715124145e+02 4.5736974146914298e+02 4.5612939776148426e+02 4.5834796147063582e+02 4.6584510084399102e+02 4.8137814476896915e+02 5.0931259157494162e+02 5.5699685623510129e+02 8.5176341550603877e+02 +1.7871792443998743e-03 1.3001159700112141e+05 3.6284508906808426e+05 7.5923139817601163e+05 1.2590462232571482e+06 1.7043937682409715e+06 1.8818235086386388e+06 1.7378368329300487e+06 1.4601255826568226e+06 1.2003554656242225e+06 9.8201841780059505e+05 7.9066980194640509e+05 6.2491684130375739e+05 4.8597765974469361e+05 3.7227857348946348e+05 2.8092893648140185e+05 2.0907937873495417e+05 1.5366570448166120e+05 1.1155204463258768e+05 7.9974209387898358e+04 5.6623325610383617e+04 3.9607555015106816e+04 2.7417265114900569e+04 1.8963236801705814e+04 1.3344851864531873e+04 9.2069682847468739e+03 6.0261355154592447e+03 3.9358433735159333e+03 2.6939439338038528e+03 1.9845198152619719e+03 1.5894499269789210e+03 1.3742489658594318e+03 1.2590306691355208e+03 1.1977401838268413e+03 1.1645894585020101e+03 1.1455404565451079e+03 1.1331478426428259e+03 1.1235472656801423e+03 1.1147589251081256e+03 1.1057660725583862e+03 1.0960319836206863e+03 1.0844066706987003e+03 1.0713585038625154e+03 1.0567505783690369e+03 1.0405033170360243e+03 1.0225879924296775e+03 1.0030290289939571e+03 9.8190863604947515e+02 9.5936997237323226e+02 9.3561741615537346e+02 9.1090616312544512e+02 8.8553087029359415e+02 8.5982550463892358e+02 8.3414867842378271e+02 8.0882133829338829e+02 7.8413314105279835e+02 7.6035144681762529e+02 7.3768323419786907e+02 7.1629104297452034e+02 6.9628123823313513e+02 6.7773307970289238e+02 6.6066834338760839e+02 6.4510068636162407e+02 6.3099594912989892e+02 6.1833406575301240e+02 6.0705446866915349e+02 5.9709403455123822e+02 5.8839792389762124e+02 5.8088955791000274e+02 5.7447776289239573e+02 5.6909367162516935e+02 5.6463784504318937e+02 5.6102487707925252e+02 5.5815163524839568e+02 5.5591817219191751e+02 5.5418596823909115e+02 5.5282120987870371e+02 5.5171402950130039e+02 5.5076447083050584e+02 5.4988181818161127e+02 5.4926163469737310e+02 5.4863679661044250e+02 5.4799983331007331e+02 5.4733289566796725e+02 5.4664494576547577e+02 5.4591713513285220e+02 5.4516909549209402e+02 5.4434114127614225e+02 5.4345503392002286e+02 5.4249446273191734e+02 5.4144669094667404e+02 5.4029624143297406e+02 5.3902567863134504e+02 5.3761092253194784e+02 5.3605023234646865e+02 5.3429118183283708e+02 5.3231894321382629e+02 5.3010489454316325e+02 5.2761823414101468e+02 5.2482719711760603e+02 5.2169992210700866e+02 5.1820210647714362e+02 5.1433408661650446e+02 5.1003438905022506e+02 5.0531513951102198e+02 5.0018725443885677e+02 4.9469095502885722e+02 4.8889467731231264e+02 4.8292868401456047e+02 4.7698767481759012e+02 4.7138508915175572e+02 4.6652572158683478e+02 4.6303233399856816e+02 4.6177663394251471e+02 4.6402266520769621e+02 4.7161262497399071e+02 4.8733798003184796e+02 5.1561827705374924e+02 5.6389290970487684e+02 8.6229029050850249e+02 +1.7981940557958162e-03 1.2987372087888737e+05 3.6246811955857708e+05 7.5848153578360658e+05 1.2580059459182175e+06 1.7036396247944958e+06 1.8822959736401113e+06 1.7400020195852376e+06 1.4637174314086596e+06 1.2049486539977561e+06 9.8726254209604545e+05 7.9621865990057855e+05 6.3045696230253857e+05 4.9126509618142631e+05 3.7714061067806708e+05 2.8525634763024404e+05 2.1282368641884171e+05 1.5682690446854668e+05 1.1416150873960022e+05 8.2082645930355342e+04 5.8292083448631485e+04 4.0901999920012691e+04 2.8402648059049076e+04 1.9706680439201911e+04 1.3912039057745051e+04 9.6264124981585937e+03 6.3127485094476297e+03 4.1226214400079707e+03 2.8137233402198826e+03 2.0614313245348999e+03 1.6398457999744139e+03 1.4087537174159338e+03 1.2842950048802491e+03 1.2177798875264066e+03 1.1817452046186322e+03 1.1611298403274354e+03 1.1478869880768561e+03 1.1378111491015568e+03 1.1287352899017567e+03 1.1195428215165475e+03 1.1096449901147794e+03 1.0978535197036499e+03 1.0846333098699299e+03 1.0698393444398446e+03 1.0533881405071672e+03 1.0352492987380135e+03 1.0154469583328522e+03 9.9406408873591249e+02 9.7124551336379511e+02 9.4719810135920216e+02 9.2218019941747139e+02 8.9649011712457991e+02 8.7046596447040542e+02 8.4447080097656294e+02 8.1882955178164548e+02 7.9383546102029334e+02 7.6975919632973716e+02 7.4681029362434765e+02 7.2515329802355870e+02 7.0489588396980321e+02 6.8611828499437866e+02 6.6884254041946622e+02 6.5308247074600911e+02 6.3880348883333818e+02 6.2598527454080227e+02 6.1456650296696000e+02 6.0448325785868826e+02 5.9568000425000116e+02 5.8807919488103278e+02 5.8158850483383662e+02 5.7613819309534915e+02 5.7162757365466939e+02 5.6797017390961696e+02 5.6506158375606879e+02 5.6280062498381585e+02 5.6104707478100806e+02 5.5966547755663953e+02 5.5854461930223874e+02 5.5758331775653255e+02 5.5668974240263231e+02 5.5606188201223654e+02 5.5542930855724376e+02 5.5478445941294081e+02 5.5410926468760692e+02 5.5341279751140564e+02 5.5267597615425586e+02 5.5191867507382653e+02 5.5108047021466109e+02 5.5018339223852888e+02 5.4921092851573735e+02 5.4815018459038129e+02 5.4698549171350965e+02 5.4569919846101595e+02 5.4426692676108610e+02 5.4268691394846303e+02 5.4090608516060558e+02 5.3890942884722620e+02 5.3666796870268820e+02 5.3415052170037688e+02 5.3132492967810151e+02 5.2815893680384340e+02 5.2461781581809134e+02 5.2070190696158261e+02 5.1634897611049507e+02 5.1157129893551263e+02 5.0637992702943785e+02 5.0081557955462785e+02 4.9494753982877330e+02 4.8890768332238713e+02 4.8289312029449991e+02 4.7722117049236408e+02 4.7230164052893304e+02 4.6876500234144726e+02 4.6749375589940109e+02 4.6976759463754331e+02 4.7745152346963647e+02 4.9337156955204603e+02 5.2200199676223826e+02 5.7087430333460884e+02 8.7294723683871814e+02 +1.8092767540981601e-03 1.2973584692349467e+05 3.6209123510019458e+05 7.5773135492725903e+05 1.2569621769526210e+06 1.7028715087021030e+06 1.8827359052062705e+06 1.7421172142869001e+06 1.4672505101078572e+06 1.2094821388590902e+06 9.9245173219729122e+05 8.0172202573848143e+05 6.3596402891419735e+05 4.9653300858267996e+05 3.8199617450021685e+05 2.8958870228282613e+05 2.1658201607926024e+05 1.6000861761208443e+05 1.1679546857405320e+05 8.4217333389094740e+04 5.9987018560039382e+04 4.2221169784659869e+04 2.9410397119557889e+04 2.0469847781704506e+04 1.4496665690234579e+04 1.0060695951135278e+04 6.6109127959072403e+03 4.3178302054176902e+03 2.9394072612835257e+03 2.1423433834009388e+03 1.6928792033602542e+03 1.4449640071581098e+03 1.3106542005067504e+03 1.2385299615905069e+03 1.1993780794412185e+03 1.1770595943849426e+03 1.1628886669908140e+03 1.1522942822091582e+03 1.1429071296146417e+03 1.1335018955447326e+03 1.1234327522732015e+03 1.1114700782356369e+03 1.0980742408906970e+03 1.0830912172647597e+03 1.0664331835220250e+03 1.0480678624304860e+03 1.0280190165765630e+03 1.0063703435980927e+03 9.8326833286392753e+02 9.5892236646733966e+02 9.3359397719539629e+02 9.0758517087272503e+02 8.8123825128531610e+02 8.5492078017686845e+02 8.2896171044495031e+02 8.0365791793221831e+02 7.7928341860888247e+02 7.5605033711412182e+02 7.3412524841671143e+02 7.1361715216691107e+02 6.9460726737060452e+02 6.7711789956011967e+02 6.6116303431269262e+02 6.4670765117038218e+02 6.3373117221315670e+02 6.2217150531042523e+02 6.1196393086491616e+02 6.0305220921576711e+02 5.9535781218898819e+02 5.8878724923972231e+02 5.8326989496397130e+02 5.7870380146625553e+02 5.7500141696615799e+02 5.7205703836700059e+02 5.6976824159298121e+02 5.6799307962801754e+02 5.6659443436463732e+02 5.6545972856200387e+02 5.6448653864564278e+02 5.6358190535830931e+02 5.6294627305037216e+02 5.6230586850461850e+02 5.6165303593757642e+02 5.6096948195861296e+02 5.6026439211864374e+02 5.5951844854219462e+02 5.5875177142298082e+02 5.5790318908393544e+02 5.5699500474139222e+02 5.5601050133027036e+02 5.5493662475231122e+02 5.5375751227004253e+02 5.5245529392378364e+02 5.5100528989234942e+02 5.4940571536125105e+02 5.4760283882288445e+02 5.4558146267993766e+02 5.4331225188217195e+02 5.4076363733763969e+02 5.3790306274570764e+02 5.3469787292823332e+02 5.3111291074258872e+02 5.2714852032903786e+02 5.2274169750434157e+02 5.1790486973171778e+02 5.1264922542991803e+02 5.0701598788911059e+02 5.0107529819788471e+02 4.9496066452698943e+02 4.8887163754113442e+02 4.8312946531576779e+02 4.7814902852708758e+02 4.7456860457392384e+02 4.7328161938137282e+02 4.7558360967181835e+02 4.8336267030705505e+02 4.9947981644809067e+02 5.2846470622681602e+02 5.7794208211149021e+02 8.8373586112562703e+02 +1.8204277577100810e-03 1.2959797429445489e+05 3.6171443225581275e+05 7.5698086771314708e+05 1.2559149918298442e+06 1.7020896296462130e+06 1.8831436741946989e+06 1.7441828905350436e+06 1.4707252100090988e+06 1.2139561002861985e+06 9.9758589503078407e+05 8.0717950905875443e+05 6.4143738319054153e+05 5.0178053988908808e+05 3.8684429704979178e+05 2.9392501410559099e+05 2.2035344436968694e+05 1.6321004486870792e+05 1.1945328795355455e+05 8.6377814815528007e+04 6.1707850318736564e+04 4.3564942461039711e+04 3.0440521148108644e+04 2.1252849538287428e+04 1.5098924397207284e+04 1.0510068436294863e+04 6.9208942305412029e+03 4.5217179839880673e+03 3.0712080744653231e+03 2.2274256582223702e+03 1.7486781510940100e+03 1.4829717597500337e+03 1.3381714920655763e+03 1.2600323659526043e+03 1.2175151704879568e+03 1.1933469359942494e+03 1.1781638407110022e+03 1.1670038186602160e+03 1.1572793595426162e+03 1.1476469303817164e+03 1.1373981881580903e+03 1.1252588427051212e+03 1.1116835642833685e+03 1.0965083326038236e+03 1.0796404978404148e+03 1.0610456734440627e+03 1.0407471413300341e+03 1.0188292892355304e+03 9.9544027095834906e+02 9.7079200240348030e+02 9.4514923731670478e+02 9.1881772163150492e+02 8.9214400417922877e+02 8.6550020449086867e+02 8.3921935306043520e+02 8.1360200234099716e+02 7.8892555793427755e+02 7.6540476499600823e+02 7.4320825313999524e+02 7.2244636324669102e+02 7.0320131159709933e+02 6.8549567283043632e+02 6.6934359924655189e+02 6.5470963129354107e+02 6.4157292960138420e+02 6.2987062473975902e+02 6.1953718314587684e+02 6.1051565105908878e+02 6.0272650675759360e+02 5.9607507952910476e+02 5.9048984895847275e+02 5.8586759028792756e+02 5.8211965989749751e+02 5.7913904622922485e+02 5.7682206417223711e+02 5.7502502115737400e+02 5.7360911581151345e+02 5.7246039055404935e+02 5.7147516491913871e+02 5.7055933678845554e+02 5.6991583638332554e+02 5.6926750385168862e+02 5.6860658908804919e+02 5.6791457243558034e+02 5.6720075325353616e+02 5.6644557459978819e+02 5.6566940544289412e+02 5.6481031723543720e+02 5.6389088912081991e+02 5.6289419706858155e+02 5.6180702536401088e+02 5.6061331488004453e+02 5.5929497441870603e+02 5.5782701867483797e+02 5.5620764041010636e+02 5.5438244335211755e+02 5.5233604155063654e+02 5.5003873677427703e+02 5.4745856908920598e+02 5.4456257913147249e+02 5.4131770743339996e+02 5.3768836165399648e+02 5.3367488987859281e+02 5.2921350833999281e+02 5.2431679817041663e+02 5.1899608630778948e+02 5.1329310640761821e+02 5.0727886794062204e+02 5.0108853197726529e+02 4.9492411978123721e+02 4.8911085635430419e+02 4.8406875921340855e+02 4.8044400778616648e+02 4.7914108912698879e+02 4.8147157925518576e+02 4.8934694864500580e+02 5.0566363332590402e+02 5.3500737101173172e+02 5.8509730200126876e+02 8.9465778983234782e+02 +1.8316474876134724e-03 1.2946010614039464e+05 3.6133771192533040e+05 7.5623007368193474e+05 1.2548644431555588e+06 1.7012941737525798e+06 1.8835196729442638e+06 1.7461995315453541e+06 1.4741419172141971e+06 1.2183707302062009e+06 1.0026649520944823e+06 8.1259073892166931e+05 6.4687638827183854e+05 5.0700685222542519e+05 3.9168402506963507e+05 2.9826430501616182e+05 2.2413704917975268e+05 1.6643038176078669e+05 1.2213431975743647e+05 8.8563618481733269e+04 6.3454281341029855e+04 4.4933178855588514e+04 3.1493013350311809e+04 2.2055783013488359e+04 1.5718997068081453e+04 1.0974772393657458e+04 7.2429551841639905e+03 4.7345328933047595e+03 3.2093401954806095e+03 2.3168510411394482e+03 1.8073742285943008e+03 1.5228722495803825e+03 1.3669129387458943e+03 1.2823312572766708e+03 1.2361851685188933e+03 1.2100101923419672e+03 1.1937242066032311e+03 1.1819473844778702e+03 1.1718571919846088e+03 1.1619817476578735e+03 1.1515443340646812e+03 1.1392223856193748e+03 1.1254636001764845e+03 1.1100928662276342e+03 1.0930121682287204e+03 1.0741847507603302e+03 1.0536332968662291e+03 1.0314428393547930e+03 1.0077631916910440e+03 9.8280882311132098e+02 9.5684774282815965e+02 9.3018948090741844e+02 9.0318488291900780e+02 8.7621068234245922e+02 8.4960403767752371e+02 8.2366922341633267e+02 7.9868707658084111e+02 7.7487499501036177e+02 7.5240368804086916e+02 7.3138485398547300e+02 7.1190171831931661e+02 6.9397712769806219e+02 6.7762540277772507e+02 6.6281063902388757e+02 6.4951173184899437e+02 6.3766502425726981e+02 6.2720415788629032e+02 6.1807145528180263e+02 6.1018638835570357e+02 6.0345309155674397e+02 5.9779913883235679e+02 5.9312001357449151e+02 5.8932596766915628e+02 5.8630866554461250e+02 5.8396314573354300e+02 5.8214394847310177e+02 5.8071056804947921e+02 5.7954764914341956e+02 5.7855023855924674e+02 5.7762307697249355e+02 5.7697161110784612e+02 5.7631525250845073e+02 5.7564615556957585e+02 5.7494557156114627e+02 5.7422291505759733e+02 5.7345838709186410e+02 5.7267260848247895e+02 5.7180288445182373e+02 5.7087207348408822e+02 5.6986304202113104e+02 5.6876241073327355e+02 5.6755392167476384e+02 5.6621925967229322e+02 5.6473313016003885e+02 5.6309370319480433e+02 5.6124590951767186e+02 5.5917417249854122e+02 5.5684842623054112e+02 5.5423631510234850e+02 5.5130447170047091e+02 5.4801942727016103e+02 5.4434514888527565e+02 5.4028198862551312e+02 5.3576537349859848e+02 5.3080804020562960e+02 5.2542145591663257e+02 5.1964787096504483e+02 5.1355917394642063e+02 5.0729219927696096e+02 5.0105146937870290e+02 4.9516623537300580e+02 4.9006171516078587e+02 4.8639208794177648e+02 4.8507303872364946e+02 4.8743238122389204e+02 4.9540525067866315e+02 5.1192394212999892e+02 5.4163096656204266e+02 5.9234102977502334e+02 9.0571466950195838e+02 +1.8429363673848397e-03 1.2932223706246291e+05 3.6096107721586619e+05 7.5547900002704153e+05 1.2538105796186889e+06 1.7004853436160367e+06 1.8838642696708499e+06 1.7481675666065856e+06 1.4775010402662256e+06 1.2227262309592939e+06 1.0076888409730447e+06 8.1795536379104259e+05 6.5228042848673707e+05 5.1221112711754680e+05 3.9651442021488026e+05 3.0260560569308698e+05 2.2793191029099227e+05 1.6966881908621112e+05 1.2483790659304603e+05 9.0774258428044792e+04 6.5225997861622709e+04 4.6325723110332125e+04 3.2567851277848567e+04 2.2878731934658033e+04 1.6357054532337077e+04 1.1455042499511612e+04 7.5773541171753523e+03 4.9565224861951692e+03 3.3540198066100465e+03 2.4107954839230274e+03 1.8691025195336649e+03 1.5647640962952121e+03 1.3969474603864799e+03 1.3054730454278167e+03 1.2554184266014718e+03 1.2270688527482694e+03 1.2095822395443379e+03 1.1971331085337645e+03 1.1866461573508147e+03 1.1765103688650352e+03 1.1658743534572905e+03 1.1533633609953608e+03 1.1394167247232606e+03 1.1238470359063435e+03 1.1065503137134558e+03 1.0874871432492932e+03 1.0666794747391855e+03 1.0442129332540244e+03 1.0202389834742166e+03 9.9497466591230545e+02 9.6869127928523449e+02 9.4170218191119784e+02 9.1436256821571078e+02 8.8705384237338831e+02 8.6011734186295405e+02 8.3386110917998190e+02 8.0856945504359749e+02 7.8446246251987054e+02 7.6171294603481431e+02 7.4043397770911304e+02 7.2070980425447203e+02 7.0256354725763413e+02 6.8600969735040042e+02 6.7101189901149655e+02 6.5754877856130986e+02 6.4555588096354336e+02 6.3496601199443569e+02 6.2572076070803735e+02 6.1773857964323156e+02 6.1092239361251291e+02 6.0519886032162856e+02 6.0046215633663405e+02 5.9662141643227631e+02 5.9356696540748385e+02 5.9119254996677046e+02 5.8935092120996671e+02 5.8789984766856924e+02 5.8672255857812331e+02 5.8571281189820877e+02 5.8477417651567362e+02 5.8411464663364836e+02 5.8345016268726863e+02 5.8277278237533278e+02 5.8206352505344955e+02 5.8133192193443892e+02 5.8055792903130066e+02 5.7976242212611214e+02 5.7888193073722152e+02 5.7793959614003847e+02 5.7691807266135197e+02 5.7580381533147738e+02 5.7458036492821657e+02 5.7322917953159958e+02 5.7172465149014590e+02 5.7006492787696925e+02 5.6819425812206111e+02 5.6609687255727385e+02 5.6374233305291398e+02 5.6109788342813147e+02 5.5812974317295459e+02 5.5480402918204834e+02 5.5108426249884292e+02 5.4697079924241382e+02 5.4239826743745334e+02 5.3737956127755308e+02 5.3192628989919808e+02 5.2608122670381101e+02 5.1991715028318174e+02 5.1357258909455390e+02 5.0725459765179886e+02 5.0129650298649909e+02 4.9612878769853955e+02 4.9241372969696835e+02 4.9107835042908732e+02 4.9346690212688003e+02 5.0153847745665433e+02 5.1826167395438949e+02 5.4833647800307347e+02 5.9967434278987730e+02 9.1690816700418168e+02 +1.8542948232112908e-03 1.2918436975338940e+05 3.6058452592708345e+05 7.5472764870803186e+05 1.2527534792817417e+06 1.6996632921443037e+06 1.8841778634465360e+06 1.7500874955198814e+06 1.4808029775009726e+06 1.2270228172616635e+06 1.0126575162185038e+06 8.2327305269475724e+05 6.5764890945076535e+05 5.1739256563641521e+05 4.0133455934143899e+05 3.0694795607354137e+05 2.3173711001458610e+05 1.7292454362200160e+05 1.2756338146210923e+05 9.3009235020200969e+04 6.7022670126457117e+04 4.7742402806520491e+04 3.3664996844650195e+04 2.3721766301634314e+04 1.7013256263981115e+04 1.1951105267205701e+04 7.9243451570226562e+03 5.1879333777705906e+03 3.5054645752427082e+03 2.5094378201835525e+03 1.9340015217109760e+03 1.6087492517080618e+03 1.4283468692920571e+03 1.3295064469444139e+03 1.2752470182310817e+03 1.2445436212076772e+03 1.2257512343661865e+03 1.2125696541598484e+03 1.2016521263103880e+03 1.1912370301515837e+03 1.1803915465185255e+03 1.1676845101749702e+03 1.1535453736199561e+03 1.1377731035603992e+03 1.1202570889445215e+03 1.1009549305820965e+03 1.0798876944429528e+03 1.0571415363285332e+03 1.0328695594980456e+03 1.0072913918685830e+03 9.8068165508126822e+02 9.5335757986592535e+02 9.2567876201043305e+02 8.9803133370792125e+02 8.7076086295535083e+02 8.4417920674328002e+02 8.1857419226362811e+02 7.9416862072848915e+02 7.7113743731081922e+02 7.4959510449071547e+02 7.2962690237741549e+02 7.1125623040898722e+02 6.9449775079490576e+02 6.7931465089613300e+02 6.6568528395042051e+02 6.5354438618374627e+02 6.4282391620326916e+02 6.3346471955356401e+02 6.2538421619866654e+02 6.1848410640345469e+02 6.1269012107059211e+02 6.0789511501765855e+02 6.0400709335716033e+02 6.0091502560065442e+02 5.9851135100626402e+02 5.9664700928389766e+02 5.9517802143905965e+02 5.9398618322565596e+02 5.9296394735015133e+02 5.9201369608368680e+02 5.9134600241746136e+02 5.9067329263500881e+02 5.8998752652070038e+02 5.8926948864247231e+02 5.8852882828688280e+02 5.8774525341586809e+02 5.8693989792915124e+02 5.8604850604830187e+02 5.8509450533851850e+02 5.8406033538610734e+02 5.8293228353497580e+02 5.8169368679661056e+02 5.8032577370249965e+02 5.7880261964280578e+02 5.7712234842244220e+02 5.7522851973889874e+02 5.7310516849647684e+02 5.7072147974125289e+02 5.6804429176950964e+02 5.6503940586774354e+02 5.6167251945686462e+02 5.5790670203300442e+02 5.5374231380851086e+02 5.4911317394250057e+02 5.4403233606938795e+02 5.3851155304747829e+02 5.3259412781352603e+02 5.2635373996102874e+02 5.1993063293315015e+02 5.1353442464351690e+02 5.0750256843157717e+02 5.0227087669154730e+02 4.9850982617623578e+02 4.9715791494536359e+02 4.9957603699867246e+02 5.0774753865484359e+02 5.2467776880550048e+02 5.5512489989049732e+02 6.0709832871787501e+02 9.2823996978690911e+02 +1.8657232839066266e-03 1.2904650235003617e+05 3.6020806018045120e+05 7.5397603007454856e+05 1.2516931729450019e+06 1.6988282275860321e+06 1.8844607957628442e+06 1.7519597962688478e+06 1.4840481312123081e+06 1.2312607139290569e+06 1.0175709469438342e+06 8.2854349443260476e+05 6.6298125778526743e+05 5.2255038837452687e+05 4.0614353485132469e+05 3.1129040584955906e+05 2.3555173381681897e+05 1.7619673881462458e+05 1.3031006842866600e+05 9.5268035515052863e+04 6.8843952802147964e+04 4.9183029189626679e+04 3.4784396366388719e+04 2.4584942258736548e+04 1.7687750104936800e+04 1.2463178660512978e+04 8.2841776797574203e+03 5.4290108687527827e+03 3.6638933633113456e+03 2.6129595762132099e+03 2.0022130519345747e+03 1.6549329778624931e+03 1.4611858959850260e+03 1.3544825351560862e+03 1.2957047942066599e+03 1.2624564691006599e+03 1.2422453491579427e+03 1.2282662518563743e+03 1.2168813329640834e+03 1.2061661979659973e+03 1.1950993603331797e+03 1.1821886680792991e+03 1.1678520459037068e+03 1.1518733775866374e+03 1.1341346856639775e+03 1.1145902242046866e+03 1.0932600041009557e+03 1.0702306406005218e+03 1.0456568581782128e+03 1.0197608861554502e+03 9.9282070178269089e+02 9.6515745231417759e+02 9.3713518776137505e+02 9.0914482622284538e+02 8.8153621831891473e+02 8.5462508255032299e+02 8.2870280585927128e+02 8.0399494090250903e+02 7.8067858954372252e+02 7.5886962135164811e+02 7.3865436211426129e+02 7.2005649204111796e+02 7.0309084649720728e+02 6.8772014946585398e+02 6.7392247697956157e+02 6.6163174559167351e+02 6.5077905516542774e+02 6.4130449748540968e+02 6.3312444653270427e+02 6.2613936301012188e+02 6.2027404053033877e+02 6.1541999733127170e+02 6.1148409641945489e+02 6.0835393633818694e+02 6.0592063314606060e+02 6.0403329258909423e+02 6.0254616599341193e+02 6.0133959725187754e+02 6.0030471709118774e+02 5.9934270607983945e+02 5.9866674764041045e+02 5.9798571031038875e+02 5.9729145472415701e+02 5.9656452774606726e+02 5.9581469819298877e+02 5.9502142290828942e+02 5.9420609709835946e+02 5.9330366998053330e+02 5.9233785894837627e+02 5.9129088619539175e+02 5.9014886930348189e+02 5.8889493900121681e+02 5.8751009143149247e+02 5.8596808111078599e+02 5.8426700828741343e+02 5.8234973439891280e+02 5.8020009650775478e+02 5.7778689817717418e+02 5.7507656716826295e+02 5.7203448139357329e+02 5.6862591361524073e+02 5.6481347620171596e+02 5.6059753350624851e+02 5.5591108582686309e+02 5.5076734820809622e+02 5.4517821900705405e+02 5.3918753724179760e+02 5.3286989464412329e+02 5.2636727084334791e+02 5.1989187884054229e+02 5.1378534928846284e+02 5.0848889025952207e+02 5.0468127870174817e+02 5.0331263115005606e+02 5.0576068908885088e+02 5.1403335229652521e+02 5.3117317531782476e+02 5.6199723590751057e+02 6.1461408521122326e+02 9.3971178612944334e+02 +1.8772221809275293e-03 1.2890863478536867e+05 3.5983168171845638e+05 7.5322414374956791e+05 1.2506297410535591e+06 1.6979803240039900e+06 1.8847134215633313e+06 1.7537849237418957e+06 1.4872369144181621e+06 1.2354401530510862e+06 1.0224291169298987e+06 8.3376639605022443e+05 6.6827692071295716e+05 5.2768383534768946e+05 4.1094045501528983e+05 3.1563201496532635e+05 2.3937487093441995e+05 1.7948458546053380e+05 1.3307728328396237e+05 9.7550134633813155e+04 7.0689485400945428e+04 5.0647397414928470e+04 3.5925980623018884e+04 2.5468301989382504e+04 1.8380672008056808e+04 1.2991471720502843e+04 8.6570958967095285e+03 5.6799985658864825e+03 3.8295259282720622e+03 2.7215447707952721e+03 2.0738821399511162e+03 1.7034238159884094e+03 1.4955422085857974e+03 1.3804547866246301e+03 1.3168274380187147e+03 1.2808306878481214e+03 1.2590796493248934e+03 1.2442327330380813e+03 1.2323403990604952e+03 1.2213025855600865e+03 1.2100013997209119e+03 1.1968787699143115e+03 1.1823393080429555e+03 1.1661502153708332e+03 1.1481853342856880e+03 1.1283951683848734e+03 1.1067984812083123e+03 1.0834822652802795e+03 1.0586028435961753e+03 1.0323850584577121e+03 1.0051102744747689e+03 9.7710359942893820e+02 9.4873359073238566e+02 9.2039601082372280e+02 8.9244504559881807e+02 8.6520032262334735e+02 8.3895683235865181e+02 8.1394291258736553e+02 7.9033784810069938e+02 7.6825893245977113e+02 7.4779354953020891e+02 7.2896566320981310e+02 7.1179028357062259e+02 6.9622966481202275e+02 6.8226160150239798e+02 6.6981917932816373e+02 6.5883262754187410e+02 6.4924127366557673e+02 6.4096043207746038e+02 6.3388930881285535e+02 6.2795174981673858e+02 6.2303792205527043e+02 6.1905353413259502e+02 6.1588479795504213e+02 6.1342149049593763e+02 6.1151086062939225e+02 6.1000536745017496e+02 6.0878388423294393e+02 6.0773620266863611e+02 6.0676228625405679e+02 6.0607796081823017e+02 6.0538849299478682e+02 6.0468564301300796e+02 6.0394971708187336e+02 6.0319060501914907e+02 6.0238750944475396e+02 6.0156209010238251e+02 6.0064849137707529e+02 5.9967072407387980e+02 5.9861079030548126e+02 5.9745463579704483e+02 5.9618518244152187e+02 5.9478319112496126e+02 5.9322209152227867e+02 5.9149996003530407e+02 5.8955895121218543e+02 5.8738270182840608e+02 5.8493962925045969e+02 5.8219574563108915e+02 5.7911600027688246e+02 5.7566523604357906e+02 5.7180560252123757e+02 5.6753746825965345e+02 5.6279300457143984e+02 5.5758558990793063e+02 5.5192726992266978e+02 5.4586242634037364e+02 5.3946657430260370e+02 5.3288345108090755e+02 5.2632789683217925e+02 5.2014577114738836e+02 5.1478374445264740e+02 5.1092899646213186e+02 5.0954340576604011e+02 5.1202176952987361e+02 5.2039684441794441e+02 5.3774885040522770e+02 5.6895449849699730e+02 6.2222271950504410e+02 9.5132534540002723e+02 +1.8887919483898516e-03 1.2877076563026547e+05 3.5945539046069945e+05 7.5247201289781358e+05 1.2495632182626026e+06 1.6971197512026816e+06 1.8849361448692468e+06 1.7555633473321043e+06 1.4903697424737453e+06 1.2395613749059513e+06 1.0272320245587447e+06 8.3894148344110325e+05 6.7353536576488451e+05 5.3279216599145520e+05 4.1572444421241956e+05 3.1997185408880800e+05 2.4320561497343789e+05 1.8278726237612250e+05 1.3586433421073668e+05 9.9854995141541949e+04 7.2558892719292155e+04 5.2135286813362967e+04 3.7089664943800170e+04 2.6371873632760318e+04 1.9092145799925118e+04 1.3536184206846445e+04 9.0433384472644666e+03 5.9411380004646771e+03 4.0025826163597362e+03 2.8353797043435648e+03 2.1491569114447157e+03 1.7543335462021917e+03 1.5314964254994363e+03 1.4074791235610692e+03 1.3386525194446203e+03 1.2996909413383039e+03 1.2762701522767352e+03 1.2604795647805220e+03 1.2480363592044107e+03 1.2366511703665997e+03 1.2251014387498692e+03 1.2117578583460836e+03 1.1970097983481576e+03 1.1806060259988992e+03 1.1624113056069245e+03 1.1423719413351896e+03 1.1205052334115824e+03 1.0968984573563771e+03 1.0717095059817509e+03 1.0451658433586097e+03 1.0175522521164938e+03 9.8919784433852419e+02 9.6047573829661985e+02 9.3178659972004095e+02 9.0348900298861338e+02 8.7590653280695290e+02 8.4933782743231666e+02 8.2401404383301576e+02 8.0011667625562768e+02 7.7776445933239506e+02 7.5704584752104256e+02 7.3798509131920662e+02 7.2059737702023790e+02 7.0484448248470414e+02 6.9070391639895354e+02 6.7810792210784382e+02 6.6698584607841235e+02 6.5727624078126621e+02 6.4889334715556413e+02 6.4173510138819540e+02 6.3572439152920845e+02 6.3075001877268028e+02 6.2671652522663328e+02 6.2350872052945488e+02 6.2101502656487207e+02 6.1908081207859072e+02 6.1755672095692432e+02 6.1632013669721994e+02 6.1525949453686326e+02 6.1427352523917284e+02 6.1358072933589972e+02 6.1288272682852289e+02 6.1217117626335039e+02 6.1142614020503379e+02 6.1065763095874831e+02 6.0984459377741086e+02 6.0900895621241057e+02 6.0808404786934909e+02 6.0709417659195606e+02 6.0602112169295458e+02 6.0485065491632213e+02 6.0356548674217447e+02 6.0214613989166969e+02 6.0056571518383146e+02 5.9882226488506171e+02 5.9685722791452406e+02 5.9465403829007028e+02 5.9218072240999879e+02 5.8940287168361579e+02 5.8628500151763399e+02 5.8279151955058728e+02 5.7888410687659143e+02 5.7456313629525448e+02 5.6975993989046469e+02 5.6448806154053250e+02 5.5875969601478846e+02 5.5261977444827119e+02 5.4614474680155990e+02 5.3948012970029799e+02 5.3284342291118446e+02 5.2658476720932651e+02 5.2115636285056974e+02 5.1725389612182778e+02 5.1585115297189986e+02 5.1836019694692709e+02 5.2683894867033985e+02 5.4440575884996167e+02 5.7599770842844134e+02 6.2992534793729419e+02 9.6308239831536741e+02 +1.9004330230850055e-03 1.2863289408837703e+05 3.5907918479190493e+05 7.5171965018323949e+05 1.2484936655767842e+06 1.6962467063531389e+06 1.8851293041308629e+06 1.7572955133102366e+06 1.4934470293322331e+06 1.2436246274235023e+06 1.0319796843078953e+06 8.4406850188632321e+05 6.7875608076370019e+05 5.3787465927808196e+05 4.2049464311236265e+05 3.2430900504159403e+05 2.4704306449079613e+05 1.8610394705418582e+05 1.3867052244162990e+05 1.0218206843202333e+05 7.4451785290361062e+04 5.3646461175862169e+04 3.8275349314371240e+04 2.7295671223061097e+04 1.9822282963981441e+04 1.4097506254136575e+04 9.4431379988278113e+03 6.2126682459587437e+03 4.1832840488843958e+03 2.9546527378009055e+03 2.2281884602233522e+03 1.8077771377693796e+03 1.5691321211094041e+03 1.4356139519179726e+03 1.3612195460661280e+03 1.3190633178856879e+03 1.2938338726233017e+03 1.2770178854841242e+03 1.2639766870810074e+03 1.2522172122486350e+03 1.2404034329316296e+03 1.2268290911657612e+03 1.2118662317028404e+03 1.1952432731792253e+03 1.1768149126424021e+03 1.1565227564188845e+03 1.1343823993519770e+03 1.1104812922127417e+03 1.0849788622009203e+03 1.0581052007650885e+03 1.0301485379019318e+03 1.0014420334579950e+03 9.7236342023108296e+02 9.4331832670775054e+02 9.1466976948690365e+02 8.8674533902141422e+02 8.5984736613150017e+02 8.3420986141827018e+02 8.1001655540218383e+02 7.8738764103825054e+02 7.6641265600551856e+02 7.4711614030104056e+02 7.2951345791221604e+02 7.1356590364268516e+02 6.9925069570618496e+02 6.8649922332811127e+02 6.7523993766546630e+02 6.6541060505170060e+02 6.5692437891992836e+02 6.4967791036821848e+02 6.4359311952439600e+02 6.3855742756137215e+02 6.3447419825809072e+02 6.3122682343623887e+02 6.2870235376797859e+02 6.2674425425924699e+02 6.2520133015433169e+02 6.2394945557869755e+02 6.2287569151216712e+02 6.2187752000245541e+02 6.2117614889947481e+02 6.2046950626192552e+02 6.1974914765249173e+02 6.1899488896032028e+02 6.1821686648421462e+02 6.1739376492671283e+02 6.1654778295713493e+02 6.1561142533509599e+02 6.1460930061166323e+02 6.1352296255040471e+02 6.1233800676489886e+02 6.1103692971164833e+02 6.0960001300392742e+02 6.0800002454693879e+02 6.0623499217441304e+02 6.0424563033483525e+02 6.0201516778724579e+02 5.9951123513264190e+02 5.9669899784253323e+02 5.9354253206537805e+02 5.9000580484677118e+02 5.8605002299959153e+02 5.8167556363099084e+02 5.7681290922422954e+02 5.7147577113164004e+02 5.6567649507897488e+02 5.5946056839826713e+02 5.5290538741025659e+02 5.4615827006887548e+02 5.3943940859352165e+02 5.3310327781503838e+02 5.2760767610060043e+02 5.2365690135960597e+02 5.2223679394053613e+02 5.2477689699421046e+02 5.3336060584784093e+02 5.5114487281650190e+02 5.8312789428088774e+02 6.3772309538801460e+02 9.7498471720452824e+02 +1.9121458444964527e-03 1.2849502245797806e+05 3.5870306994849053e+05 7.5096705340919527e+05 1.2474211315033447e+06 1.6953613682098698e+06 1.8852932479774912e+06 1.7589819166070062e+06 1.4964691904467810e+06 1.2476301716477424e+06 1.0366721244044475e+06 8.4914721453834220e+05 6.8393857388427330e+05 5.4293061379316030e+05 4.2525020884739008e+05 3.2864256118144881e+05 2.5088632355259426e+05 1.8943381630957717e+05 1.4149514291366906e+05 1.0453079511649263e+05 7.6367759848067508e+04 5.5180669056462139e+04 3.9482918505376707e+04 2.8239694650544327e+04 2.0571182444185390e+04 1.4675618044083112e+04 9.8567208547626451e+03 6.4948255356708805e+03 4.3718508022928600e+03 3.0795540617757197e+03 2.3111307097075714e+03 1.8638726898195109e+03 1.6085358242198763e+03 1.4649201947960039e+03 1.3845700124162493e+03 1.3389753815226072e+03 1.3117888677254273e+03 1.2938595413841026e+03 1.2801693226293003e+03 1.2680062726353233e+03 1.2559115321306035e+03 1.2420957494681861e+03 1.2269114046430827e+03 1.2100644783901344e+03 1.1913985126127814e+03 1.1708498634409837e+03 1.1484321495484987e+03 1.1242328742878776e+03 1.0984129562743030e+03 1.0712051163317860e+03 1.0429010596371534e+03 1.0138380368169825e+03 9.8439844903159860e+02 9.5499294745435031e+02 9.2598904517402059e+02 8.9771838751109158e+02 8.7048704312475729e+02 8.4453191107427369e+02 8.2003898526412297e+02 7.9712993439831507e+02 7.7589539211355066e+02 7.5636019079101482e+02 7.3853987353709476e+02 7.2239524520207362e+02 7.0790322874298704e+02 6.9499434715599841e+02 6.8359614338979156e+02 6.7364558622048696e+02 6.6505472726549760e+02 6.5771891726061870e+02 6.5155909863360409e+02 6.4646129861547900e+02 6.4232769114878897e+02 6.3904023481353988e+02 6.3648459284915009e+02 6.3450230253293148e+02 6.3294030654603853e+02 6.3167294957954584e+02 6.3058590012609943e+02 6.2957537520238839e+02 6.2886532289473655e+02 6.2814993341381614e+02 6.2742065801588842e+02 6.2665706284313376e+02 6.2586940970795320e+02 6.2503611954269604e+02 6.2417966548463392e+02 6.2323171725842838e+02 6.2221718783852475e+02 6.2111740265344417e+02 6.1991777901313810e+02 6.1860059670799831e+02 6.1714589326986174e+02 6.1552609957526727e+02 6.1373921873299003e+02 6.1172523176933294e+02 6.0946715965365217e+02 6.0693223230515400e+02 6.0408518399939283e+02 6.0088964620466629e+02 5.9730913993473723e+02 5.9330439186646015e+02 5.8887578347208819e+02 5.8395293714126296e+02 5.7854973376985436e+02 5.7267867190411164e+02 5.6638580193610744e+02 5.5974947823109471e+02 5.5291884230433357e+02 5.4611681206260300e+02 5.3970224989338669e+02 5.3413862137001934e+02 5.3013894232503753e+02 5.2870125629888992e+02 5.3127280180967625e+02 5.3996276333616311e+02 5.5796717127947397e+02 5.9034609183773580e+02 6.4561709461816247e+02 9.8703409627512497e+02 +1.9239308548162960e-03 1.2835714519421998e+05 3.5832704072971933e+05 7.5021424227690976e+05 1.2463456794500884e+06 1.6944638916227829e+06 1.8854283631638256e+06 1.7606230008067042e+06 1.4994366528612566e+06 1.2515782762002237e+06 1.0413093853478166e+06 8.5417740155455272e+05 6.8908237326027371e+05 5.4795934767165664e+05 4.2999031517734478e+05 3.3297162775631604e+05 2.5473450227356932e+05 1.9277604691230570e+05 1.4433748491619137e+05 1.0690060561549953e+05 7.8306399802868924e+04 5.6737644092066446e+04 4.0712242221781707e+04 2.9203929644663236e+04 2.1338930469463263e+04 1.5270689494141629e+04 1.0284306571521254e+04 6.7878428813982991e+03 4.5685030828395711e+03 3.2102754563622848e+03 2.3981402639260355e+03 1.9227413624207140e+03 1.6497970089714674e+03 1.4954613208856765e+03 1.4087474464731006e+03 1.3594562223811809e+03 1.3301542834553431e+03 1.3110171238416997e+03 1.2966227001706479e+03 1.2840242345251252e+03 1.2716300941873494e+03 1.2575612463545688e+03 1.2421482008006146e+03 1.2250722242633558e+03 1.2061645090660741e+03 1.1853555500349864e+03 1.1626566873548516e+03 1.1381553377668170e+03 1.1120138599149525e+03 1.0844676019092954e+03 1.0558117701248070e+03 1.0263877484130232e+03 9.9658266022344799e+02 9.6681223979233414e+02 9.3744855147558667e+02 9.0882734510293460e+02 8.8125847293969605e+02 8.5498175771371928e+02 8.3018548411472250e+02 8.0699281418852615e+02 7.8549549037867394e+02 7.6571864030897530e+02 7.4767798757221294e+02 7.3133383997566239e+02 7.1666282022604662e+02 7.0359457261450564e+02 6.9205571856705467e+02 6.8198241751695696e+02 6.7328560470647119e+02 6.6585931522157978e+02 6.5962350432662640e+02 6.5446279179791725e+02 6.5027815064227934e+02 6.4695009094268732e+02 6.4436287220307020e+02 6.4235607958673188e+02 6.4077476876724211e+02 6.3949173442355357e+02 6.3839123388086307e+02 6.3736820243977104e+02 6.3664936163764855e+02 6.3592511732614889e+02 6.3518681510169040e+02 6.3441376825152156e+02 6.3361636563665627e+02 6.3277276115949155e+02 6.3190570581917848e+02 6.3094602398987467e+02 6.2991893683165904e+02 6.2880553861865326e+02 6.2759106615988480e+02 6.2625757990536874e+02 6.2478487029294433e+02 6.2314502701380616e+02 6.2133602815225800e+02 6.1929711225334313e+02 6.1701108993833282e+02 6.1444478550075837e+02 6.1156249669999067e+02 6.0832740483891962e+02 6.0470257939683893e+02 6.0064826098825097e+02 5.9616483551202350e+02 5.9118105464369046e+02 5.8571097091741365e+02 5.7976723758560956e+02 5.7339647504743402e+02 5.6667800753236384e+02 5.5976282261570589e+02 5.5287659751647527e+02 5.4638263631863958e+02 5.4075014171090834e+02 5.3670095500801631e+02 5.3524547349823683e+02 5.3784884938447465e+02 5.4664637446888003e+02 5.6487363936091981e+02 5.9765334338816353e+02 6.5360848550117407e+02 9.9923235188352487e+02 +1.9357884989619737e-03 1.2821926581309902e+05 3.5795110150573798e+05 7.4946122254203889e+05 1.2452673402011846e+06 1.6935544483188968e+06 1.8855349675333621e+06 1.7622192365956102e+06 1.5023498390992098e+06 1.2554692145995973e+06 1.0458915211208040e+06 8.5915886062911642e+05 6.9418702646026900e+05 5.5296019849551120e+05 4.3471415265093930e+05 3.3729532225173735e+05 2.5858671734097233e+05 1.9612981620625616e+05 1.4719683273269475e+05 1.0929092075223551e+05 8.0267275726852313e+04 5.8317105339044378e+04 4.1963175272672510e+04 3.0188347778831681e+04 2.2125600399029350e+04 1.5882879963194277e+04 1.0726107585490154e+04 7.0919496941284797e+03 4.7734603966523500e+03 3.3470100422393730e+03 2.4893762481845351e+03 1.9845072979640136e+03 1.6930080780285100e+03 1.5273033676230118e+03 1.4337974531900802e+03 1.3805365059324320e+03 1.3489504000013264e+03 1.3285040072925240e+03 1.3133457774190642e+03 1.3002773233695020e+03 1.2875636992674115e+03 1.2732291361809775e+03 1.2575795967203019e+03 1.2402691582173395e+03 1.2211153541794758e+03 1.2000421431528357e+03 1.1770582499668456e+03 1.1522508473112132e+03 1.1257836730935589e+03 1.0978946960014562e+03 1.0688826475577901e+03 1.0390930865567509e+03 1.0089179126797042e+03 9.7877800401124307e+02 9.4905003144488012e+02 9.2007389946217074e+02 8.9216329020418902e+02 8.6556098565751552e+02 8.4045758898612087e+02 8.1697777334055377e+02 7.9521440292383784e+02 7.7519290343037517e+02 7.5692918023756170e+02 7.4038303681494028e+02 7.2553079038221551e+02 7.1230119365349151e+02 7.0061993275756686e+02 6.9042234559753012e+02 6.8161823621673796e+02 6.7410030877732572e+02 6.6778752230591567e+02 6.6256307611397665e+02 6.5832673166446773e+02 6.5495753552527765e+02 6.5233832708838418e+02 6.5030671460497092e+02 6.4870584173120506e+02 6.4740693199793463e+02 6.4629281238306999e+02 6.4525711939091241e+02 6.4452938150679370e+02 6.4379617309178525e+02 6.4304873270461576e+02 6.4226611762302014e+02 6.4145884531006607e+02 6.4060479933741112e+02 6.3972701200088147e+02 6.3875545188715364e+02 6.3771565214653333e+02 6.3658847305070969e+02 6.3535896867995962e+02 6.3400897743911014e+02 6.3251803962773090e+02 6.3085789954009124e+02 6.2902650993808163e+02 6.2696235771759154e+02 6.2464804056280514e+02 6.2204997214066543e+02 6.1913200831276095e+02 6.1585687466311538e+02 6.1218718357157911e+02 6.0808268359385158e+02 6.0354376511976534e+02 5.9849829836023309e+02 5.9296050961145750e+02 5.8694320873802167e+02 5.8049359317623123e+02 5.7369196897756126e+02 5.6669119254004352e+02 5.5971973441797820e+02 5.5314539516772516e+02 5.4744318532138925e+02 5.4334388050658197e+02 5.4187038408521983e+02 5.4450598283022657e+02 5.5341239778408476e+02 5.7186526755998943e+02 6.0505069690895505e+02 6.6169841413229074e+02 1.0115813228077515e+03 +1.9477192245930558e-03 1.2808137981040261e+05 3.5757525201625598e+05 7.4870799882791797e+05 1.2441861798305404e+06 1.6926332205145122e+06 1.8856134318014507e+06 1.7637710707527201e+06 1.5052091730967225e+06 1.2593032666503005e+06 1.0504185992039908e+06 8.6409140714467061e+05 6.9925210044482804e+05 5.5793252326000889e+05 4.3942092876290431e+05 3.4161277474083065e+05 2.6244209252345277e+05 1.9949430271482316e+05 1.5007246627659388e+05 1.1170115234739687e+05 8.2249945848388277e+04 5.9918757624776241e+04 4.3235557760432108e+04 3.1192906496384003e+04 2.2931252588859894e+04 1.6512337974995891e+04 1.1182328850811715e+04 7.4073714076006727e+03 4.9869412160113634e+03 3.4899520235596497e+03 2.5850001397359697e+03 2.0492975328507823e+03 1.7382643378121672e+03 1.5605149587718040e+03 1.4597677547695573e+03 1.4022485208362807e+03 1.3681986775491134e+03 1.3463343877894874e+03 1.3303480653443926e+03 1.3167721288080982e+03 1.3037171649504701e+03 1.2891031243575537e+03 1.2732086680712052e+03 1.2556579963550191e+03 1.2362535512155034e+03 1.2149120106606310e+03 1.1916391095048714e+03 1.1665215988385196e+03 1.1397245246305024e+03 1.1114884642517436e+03 1.0821156959290458e+03 1.0519559942318360e+03 1.0214060889486948e+03 9.9089206315710453e+02 9.6079525003022286e+02 9.3145975934907676e+02 9.0320314988846053e+02 8.7627119886240439e+02 8.5085685588755234e+02 8.2708632314571560e+02 8.0505359965040827e+02 7.8478441195942594e+02 7.6629484845367017e+02 7.4954420073882739e+02 7.3450847504792296e+02 7.2111551920294630e+02 7.0929006975769994e+02 6.9896663045136552e+02 6.9005385902345529e+02 6.8244311349007194e+02 6.7605234802979078e+02 6.7076332909225528e+02 6.6647459658752337e+02 6.6306371884440034e+02 6.6041209871803721e+02 6.5835534231597489e+02 6.5673465564955848e+02 6.5541966935710434e+02 6.5429176034316356e+02 6.5324324880861798e+02 6.5250650394717434e+02 6.5176422086352534e+02 6.5100752966981099e+02 6.5021522843930882e+02 6.4939796480406278e+02 6.4853334866577632e+02 6.4764469709294065e+02 6.4666111232281719e+02 6.4560844334705200e+02 6.4446731355076622e+02 6.4322259203390536e+02 6.4185589242241792e+02 6.4034650179245784e+02 6.3866581478395130e+02 6.3681175853596301e+02 6.3472205901543271e+02 6.3237909835440723e+02 6.2974887453172812e+02 6.2679479606587745e+02 6.2347912720874103e+02 6.1976401760472277e+02 6.1560871768659626e+02 6.1101362240298113e+02 6.0590570962016011e+02 6.0029938154533727e+02 5.9420760658540019e+02 5.8767816632455117e+02 5.8079236073414859e+02 5.7370493806429124e+02 5.6664719662362870e+02 5.5999148885869965e+02 5.5421870470008969e+02 5.5006866418754805e+02 5.4857693086007430e+02 5.5124514953393475e+02 5.6026179616476043e+02 5.7894305086576821e+02 6.1253920512831121e+02 6.6988803180306559e+02 1.0240828705239167e+03 +1.9597234821281452e-03 1.2794349009326879e+05 3.5719949388286832e+05 7.4795457531788340e+05 1.2431022532321755e+06 1.6917003699480852e+06 1.8856640955756700e+06 1.7652789669911154e+06 1.5080150876181081e+06 1.2630807236571778e+06 1.0548906983236480e+06 8.6897487377217389e+05 7.0427718171302101e+05 5.6287569838590699e+05 4.4410986808500130e+05 3.4592312822647329e+05 2.6629975916488154e+05 2.0286868673146280e+05 1.5296366171899438e+05 1.1413070381313071e+05 8.4253956554358709e+04 6.1542291914067158e+04 4.4529215288967054e+04 3.2217549157637251e+04 2.3755934279123252e+04 1.7159200959485417e+04 1.1653167488656953e+04 7.7343291057752203e+03 5.2091626427534857e+03 3.6392964232853642e+03 2.6851755886879778e+03 2.1172418994664567e+03 1.7856639656111599e+03 1.5951673161606441e+03 1.4867082274100678e+03 1.4246262251623427e+03 1.3879218016601267e+03 1.3645233219897116e+03 1.3476396588347620e+03 1.3335156272482843e+03 1.3200955620591117e+03 1.3051870777345889e+03 1.2890385962708788e+03 1.2712415276367049e+03 1.2515816571634468e+03 1.2299675630457905e+03 1.2064015741679727e+03 1.1809698203360483e+03 1.1538385728164847e+03 1.1252509999368062e+03 1.0955129454530118e+03 1.0649784394694232e+03 1.0340490955855762e+03 1.0031562633346560e+03 9.7268599436388592e+02 9.4298665488465849e+02 9.1437972755202645e+02 8.8711402115277144e+02 8.6138486001964861e+02 8.3731999345336340e+02 8.1501456842466609e+02 7.9449461509929836e+02 7.7577640598734956e+02 7.5881871305810955e+02 7.4359722575910098e+02 7.3003887321744605e+02 7.1806742757406118e+02 7.0761654527658061e+02 6.9859372235912269e+02 6.9088895555573947e+02 6.8441918615165639e+02 6.7906473607003272e+02 6.7472291437192746e+02 6.7126979679953229e+02 6.6858533321689526e+02 6.6650310189369054e+02 6.6486234490801769e+02 6.6353107758375768e+02 6.6238920643212441e+02 6.6132771737338192e+02 6.6058185431999209e+02 6.5983038470264887e+02 6.5906432874744235e+02 6.5826222208199044e+02 6.5743484408963798e+02 6.5655952762306390e+02 6.5565987804365670e+02 6.5466412054828777e+02 6.5359842386906530e+02 6.5244317158761464e+02 6.5118304554495182e+02 6.4979943182061152e+02 6.4827136114895143e+02 6.4656987420712665e+02 6.4469287221094737e+02 6.4257731080862800e+02 6.4020535393350713e+02 6.3754257875802853e+02 6.3455194095008733e+02 6.3119523774576476e+02 6.2743415035965313e+02 6.2322742496382057e+02 6.1857546113356364e+02 6.1340433338679497e+02 6.0772862201416103e+02 6.0156145591696747e+02 5.9495120802015913e+02 5.8798018445430694e+02 5.8080504861767770e+02 5.7365996138908633e+02 5.6692188317096270e+02 5.6107765567004071e+02 5.5687625471494414e+02 5.5536605991529689e+02 5.5806730018819917e+02 5.6719553585468589e+02 5.8610798774063790e+02 6.2011992444897021e+02 6.7817849382308714e+02 1.0367388794865815e+03 +1.9718017247618820e-03 1.2780559312156022e+05 3.5682382287810539e+05 7.4720097896771238e+05 1.2420156070736900e+06 1.6907560700835581e+06 1.8856872926650413e+06 1.7667433795756903e+06 1.5107680117404221e+06 1.2668018849083984e+06 1.0593079101111456e+06 8.7380910977910669e+05 7.0926187609564408e+05 5.6778911968428502e+05 4.4878021238131059e+05 3.5022553895828838e+05 2.7015885665569140e+05 2.0625215089447505e+05 1.5586969210920506e+05 1.1657897074757813e+05 8.6278842899614625e+04 6.3187385688787726e+04 4.5843959190069931e+04 3.3262205107438400e+04 2.4599679502901738e+04 1.7823595012946495e+04 1.2138812448988954e+04 8.0730391551199782e+03 5.4403400695654454e+03 3.7952388115576750e+03 2.7900682295320098e+03 2.1884729185672190e+03 1.8353079684269683e+03 1.6313342653048430e+03 1.5146709342093134e+03 1.4477052907219174e+03 1.4081437281555172e+03 1.3830867665025478e+03 1.3652312680824552e+03 1.3505152052621738e+03 1.3367042312240060e+03 1.3214850355574888e+03 1.3050726755235983e+03 1.2870226183371201e+03 1.2671022855736117e+03 1.2452112552533385e+03 1.2213479894641373e+03 1.1955977727396696e+03 1.1681280060660602e+03 1.1391844244865890e+03 1.1090764529989981e+03 1.0781624157161853e+03 1.0468488634884338e+03 1.0155724740186655e+03 9.8472407404411297e+02 9.5465633781218366e+02 9.2569471958663098e+02 8.9809109644699151e+02 8.7204319598735924e+02 8.4768033287083881e+02 8.2509881525824392e+02 8.0432497961600893e+02 7.8537528359770113e+02 7.6820797149284328e+02 7.5279840982881001e+02 7.3907259469901737e+02 7.2695331836644129e+02 7.1637337631411742e+02 7.0723908715563255e+02 6.9943907133619052e+02 6.9288924986858046e+02 6.8746848936429637e+02 6.8307285958464934e+02 6.7957692979875321e+02 6.7685918042300193e+02 6.7475113570581686e+02 6.7309004677711835e+02 6.7174229048441998e+02 6.7058628196877942e+02 6.6951165438375483e+02 6.6875656059522510e+02 6.6799579127322579e+02 6.6722025528468612e+02 6.6640822252604607e+02 6.6557060572917874e+02 6.6468445727648918e+02 6.6377367438497379e+02 6.6276559439558002e+02 6.6168670972443215e+02 6.6051716119902562e+02 6.5924144109938482e+02 6.5784070515780456e+02 6.5629372461101809e+02 6.5457118181914211e+02 6.5267095176921146e+02 6.5052921029033655e+02 6.4812790044296480e+02 6.4543217341593515e+02 6.4240452645326195e+02 6.3900628403287465e+02 6.3519865317220365e+02 6.3093986957710615e+02 6.2623033752347942e+02 6.2099521704133394e+02 6.1524926870696584e+02 6.0900578389110808e+02 6.0231373413406175e+02 5.9525644410664700e+02 5.8799251591626251e+02 5.8075900823111408e+02 5.7393754611701206e+02 5.6802099626368295e+02 5.6376760294905580e+02 5.6223871953059472e+02 5.6497338768583541e+02 5.7421458533280475e+02 5.9336107895619796e+02 6.2779391371622364e+02 6.8657095817430866e+02 1.0495512574121694e+03 +1.9839544084820524e-03 1.2766769052648768e+05 3.5644824677310197e+05 7.4644720667481725e+05 1.2409262669142236e+06 1.6898004762415483e+06 1.8856833727728014e+06 1.7681647662148590e+06 1.5134683737818163e+06 1.2704670510046962e+06 1.0636703389478088e+06 8.7859398037266894e+05 7.1420580833707680e+05 5.7267220220652106e+05 4.5343122072534083e+05 3.5451917672500847e+05 2.7401853287905076e+05 2.0964388074658337e+05 1.5878982798313210e+05 1.1904534152672072e+05 8.8324129121989448e+04 6.4853703340297470e+04 4.7179586767324545e+04 3.4326789762984830e+04 2.5462509015760956e+04 1.8505634676795875e+04 1.2639444185348817e+04 8.4237128425439623e+03 5.6806868400893736e+03 3.9579750277635667e+03 2.8998454836185920e+03 2.2631256821070174e+03 1.8873001334190901e+03 1.6690922346765192e+03 1.5437101539608832e+03 1.4715231452581802e+03 1.4288897273080997e+03 1.4020416174405273e+03 1.3831342506385186e+03 1.3677786837713995e+03 1.3535488001899930e+03 1.3380012210226437e+03 1.3213143203052384e+03 1.3030042168164609e+03 1.2828181095871769e+03 1.2606455886429269e+03 1.2364807395166542e+03 1.2104077508452035e+03 1.1825950436001076e+03 1.1532908880266953e+03 1.1228083025400672e+03 1.0915099422342596e+03 1.0598073482432956e+03 1.0281425883615800e+03 9.9691132141855496e+02 9.6647058176088967e+02 9.3714984346619099e+02 9.0920408899101255e+02 8.8283347801388925e+02 8.5816890895806773e+02 8.3530786449058087e+02 8.1427698999848656e+02 7.9509292917365531e+02 7.7771339027969145e+02 7.6211341041330274e+02 7.4821803769897019e+02 7.3594906836439316e+02 7.2523842264327789e+02 7.1599122568087375e+02 7.0809470680449090e+02 7.0146376016849968e+02 6.9597578732165289e+02 6.9152561127412866e+02 6.8798628149582362e+02 6.8523479252321567e+02 6.8310058788313074e+02 6.8141889994492442e+02 6.8005444310392920e+02 6.7888411942842936e+02 6.7779619026316584e+02 6.7703175185528858e+02 6.7626156834876656e+02 6.7547643573717892e+02 6.7465435485210560e+02 6.7380637338750694e+02 6.7290925979408951e+02 6.7198720674966455e+02 6.7096665279453146e+02 6.6987441802228921e+02 6.6869039752070330e+02 6.6739889167810463e+02 6.6598082304804745e+02 6.6441470018351185e+02 6.6267084271265549e+02 6.6074709909880471e+02 6.5857885573276087e+02 6.5614783210100677e+02 6.5341874817214295e+02 6.5035363713117965e+02 6.4691334488723987e+02 6.4305859843157464e+02 6.3874711672378749e+02 6.3397930882100013e+02 6.2867940899400446e+02 6.2286236033325611e+02 6.1654161867662140e+02 6.0976676153738936e+02 6.0262214464640238e+02 5.9526833265270056e+02 5.8794531762787199e+02 5.8103944666069174e+02 5.7504968545713916e+02 5.7074366068335746e+02 5.6919585891868223e+02 5.7196436585546473e+02 5.8131991402999085e+02 6.0070332626787467e+02 6.3556223281748214e+02 6.9506658397804813e+02 1.0625219355652148e+03 +1.9961819920868047e-03 1.2752977915802901e+05 3.5607275945278752e+05 7.4569326749091269e+05 1.2398343091551992e+06 1.6888337483420782e+06 1.8856526666569002e+06 1.7695435797124952e+06 1.5161166120669071e+06 1.2740765312979219e+06 1.0679780999538349e+06 8.8332936651459604e+05 7.1910862171358278e+05 5.7752438002642791e+05 4.5806216961179202e+05 3.5880322512257478e+05 2.7787794463150203e+05 2.1304306528066279e+05 1.6172333796348973e+05 1.2152919789444878e+05 9.0389329162733775e+04 6.6540896573722857e+04 4.8535881556630760e+04 3.5411204721133938e+04 2.6344430246339020e+04 1.9205422735810884e+04 1.3155234343548185e+04 8.7865560199554275e+03 5.9304139086762843e+03 4.1277008970329498e+03 3.0146763530610360e+03 2.3413377266720149e+03 1.9417469698757227e+03 1.7085202483908326e+03 1.5738824055726145e+03 1.4961190122337537e+03 1.4501864271596667e+03 1.4214057500644831e+03 1.4013606440512908e+03 1.3853143429981292e+03 1.3706352018469977e+03 1.3547400534372223e+03 1.3377670732862637e+03 1.3191893585908160e+03 1.2987318651774733e+03 1.2762731130886659e+03 1.2518022484693172e+03 1.2254020842913078e+03 1.1972419361706102e+03 1.1675725699359405e+03 1.1367106056137980e+03 1.1050230644835949e+03 1.0729265304731252e+03 1.0408685235114863e+03 1.0092495918751418e+03 9.7843118251495218e+02 9.4874683799053651e+02 9.2045468358281130e+02 8.9375734015336650e+02 8.6878730842574089e+02 8.4564325896382809e+02 8.2435214861642260e+02 8.0493080786389021e+02 7.8733640026552348e+02 7.7154362656105036e+02 7.5747657130248410e+02 7.4505601775079424e+02 7.3421299592907781e+02 7.2485142110819538e+02 7.1685711690577250e+02 7.1014394496136060e+02 7.0458783323033254e+02 7.0008235168588317e+02 6.9649901734802677e+02 6.9371332250077728e+02 6.9155260269201290e+02 6.8985004285176456e+02 6.8846867003850764e+02 6.8728385074867822e+02 6.8618245486109981e+02 6.8540855660368663e+02 6.8462884311848813e+02 6.8383399597486004e+02 6.8300174355697959e+02 6.8214327014734693e+02 6.8123505676128684e+02 6.8030159518922164e+02 6.7926841409645692e+02 6.7816266529203608e+02 6.7696399510678191e+02 6.7565650968320085e+02 6.7422089553145236e+02 6.7263539529398270e+02 6.7086996141022053e+02 6.6892241551590291e+02 6.6672734483825241e+02 6.6426624255737158e+02 6.6150339212676124e+02 6.5840035697648148e+02 6.5491749856627541e+02 6.5101505796970662e+02 6.4665023104999796e+02 6.4182343172622427e+02 6.3645795711090102e+02 6.3056893506385688e+02 6.2416998790795367e+02 6.1731130657222468e+02 6.1007829050796283e+02 6.0263349100303503e+02 5.9521986954942099e+02 5.8822855326337583e+02 5.8216468172704811e+02 5.7780537921890414e+02 5.7623842679863742e+02 5.7904118803107212e+02 5.8851249087339875e+02 6.0813573091110209e+02 6.4342594108778917e+02 7.0366652975433976e+02 1.0756528690497391e+03 +2.0084849372019684e-03 1.2739186010194605e+05 3.5569736615800118e+05 7.4493917267984559e+05 1.2387397633114562e+06 1.6878560543848614e+06 1.8855955162945956e+06 1.7708802554154955e+06 1.5187131583191012e+06 1.2776306384418241e+06 1.0722313190321068e+06 8.8801516444368684e+05 7.2396997772019776e+05 5.8234510608082777e+05 4.6267235302436486e+05 3.6307688179355901e+05 2.8173625802261697e+05 2.1644889747035166e+05 1.6466948934759400e+05 1.2402991554983615e+05 9.2473947190917024e+04 6.8248604822615365e+04 4.9912613602791505e+04 3.6515337885030174e+04 2.7245437267750396e+04 1.9923050035826913e+04 1.3686345464711312e+04 9.1617687562269257e+03 6.1897295006704016e+03 4.3046119417601140e+03 3.1347312064227699e+03 2.4232488976897121e+03 1.9987576426500780e+03 1.7496999121160959e+03 1.6052464678291024e+03 1.5215339479764550e+03 1.4720618557211133e+03 1.4411980583486766e+03 1.4199231990002786e+03 1.4031309481120979e+03 1.3879696929836841e+03 1.3717061609739230e+03 1.3544346137269324e+03 1.3355811717383415e+03 1.3148463546101636e+03 1.2920964292210415e+03 1.2673149819759815e+03 1.2405831385927720e+03 1.2120709668143556e+03 1.1820316794402634e+03 1.1507855018022233e+03 1.1187038545390819e+03 1.0862084161984717e+03 1.0537522209329757e+03 1.0217407641357116e+03 9.9053995828045379e+02 9.6048746353311856e+02 9.3184458580291994e+02 9.0481643649866373e+02 8.7953713732422375e+02 8.5610656019525459e+02 8.3455197586752297e+02 8.1489040219664992e+02 7.9707844899638064e+02 7.8109047324360665e+02 7.6684957958129144e+02 7.5427552050628412e+02 7.4329842011318044e+02 7.3382096701174157e+02 7.2572756482027137e+02 7.1893103809011893e+02 7.1330583407850929e+02 7.0874426480513614e+02 7.0511630298476325e+02 7.0229592237596353e+02 7.0010832269723005e+02 6.9838461180150261e+02 6.9698610352805099e+02 6.9578660541177965e+02 6.9467157553657307e+02 6.9388810084258512e+02 6.9309874027126148e+02 6.9229405936773230e+02 6.9145151064012862e+02 6.9058241659637133e+02 6.8966296727288545e+02 6.8871795726626067e+02 6.8767199416568985e+02 6.8655256558187375e+02 6.8533906603821390e+02 6.8401540504616617e+02 6.8256203018083988e+02 6.8095691491072012e+02 6.7916963997730159e+02 6.7719799989157059e+02 6.7497577287024296e+02 6.7248422303324446e+02 6.6968719196227357e+02 6.6654576757148800e+02 6.6301982093195647e+02 6.5906910123798548e+02 6.5465027483443009e+02 6.4976376059287838e+02 6.4433190693084964e+02 6.3837002876241627e+02 6.3189191693700070e+02 6.2494838332392180e+02 6.1762588389345672e+02 6.1008898094025164e+02 6.0258364178837803e+02 5.9550583223532567e+02 5.8936694142311319e+02 5.8495370774199318e+02 5.8336736978227805e+02 5.8620480542812800e+02 5.9579328263787090e+02 6.1565929189682333e+02 6.5138609551039747e+02 7.1237195144725388e+02 1.0889460371024902e+03 +2.0208637082984840e-03 1.2725393246062771e+05 3.5532206162071915e+05 7.4418492868308455e+05 1.2376426897702748e+06 1.6868675643793335e+06 1.8855122365412458e+06 1.7721752704404013e+06 1.5212584474793603e+06 1.2811296968394131e+06 1.0764301332002692e+06 8.9265128532266186e+05 7.2878955586074654e+05 5.8713385210529226e+05 4.6726108243577316e+05 3.6733935864016559e+05 2.8559264885790687e+05 2.1986057478411542e+05 1.6762754868560407e+05 1.2654686472954266e+05 9.4577478130519259e+04 6.9976455673869030e+04 5.1309539751017197e+04 3.7639063609169418e+04 2.8165510789352378e+04 2.0658595321097211e+04 1.4232930703433092e+04 9.5495449974295971e+03 6.4588387740696517e+03 4.4889030889933219e+03 3.2601815567418785e+03 2.5090012046125698e+03 2.0584438970090609e+03 1.7927153920006108e+03 1.6378633942509430e+03 1.5478108758978219e+03 1.4945454818815815e+03 1.4614384943433820e+03 1.4388354128355329e+03 1.4212377755697389e+03 1.4055588737414982e+03 1.3889043940513402e+03 1.3713207663310793e+03 1.3521828826406258e+03 1.3311644501396120e+03 1.3081181908177509e+03 1.2830214487884855e+03 1.2559533162408568e+03 1.2270844516533195e+03 1.1966704562199814e+03 1.1650351592275297e+03 1.1325544115054311e+03 1.0996550371977785e+03 1.0667956467320685e+03 1.0343867405473061e+03 1.0027987499533210e+03 9.7237350228810055e+02 9.4337552224107981e+02 9.1601244139146263e+02 8.9042002123423038e+02 8.6669934854355427e+02 8.4487801032265702e+02 8.2497321219538401e+02 8.0694100078444501e+02 7.9075538137118576e+02 7.7633846152465196e+02 7.6360894421733519e+02 7.5249603105262645e+02 7.4290116678407333e+02 7.3470732111290897e+02 7.2782627819521508e+02 7.2213099914890449e+02 7.1751253470313156e+02 7.1383930235966989e+02 7.1098374121849849e+02 7.0876888668095796e+02 7.0702373883283610e+02 7.0560787129578523e+02 7.0439350827697649e+02 7.0326467498810700e+02 7.0247150590904164e+02 7.0167237982843415e+02 7.0085774462375787e+02 7.0000477344328692e+02 6.9912492867070580e+02 6.9819410577649353e+02 6.9723740590581906e+02 6.9617850423680147e+02 6.9504522831757458e+02 6.9381671777762449e+02 6.9247668309176913e+02 6.9100532997087112e+02 6.8938035941479484e+02 6.8757097590545482e+02 6.8557494653342417e+02 6.8332523054654712e+02 6.8080286021864413e+02 6.7797122984988403e+02 6.7479094601125712e+02 6.7122138338092373e+02 6.6722179324793808e+02 6.6274830594747414e+02 6.5780134539704591e+02 6.5230229965274032e+02 6.4626667299405563e+02 6.3970842686075866e+02 6.3267900166706283e+02 6.2526592284569040e+02 6.1763578832709402e+02 6.1003760807832805e+02 6.0287224587511946e+02 5.9665741692295114e+02 5.9218959149994760e+02 5.9058363055217126e+02 5.9345616531438395e+02 6.0316325208551712e+02 6.2327500408898254e+02 6.5944374868014415e+02 7.2118400020605566e+02 1.1024034433909349e+03 +2.0333187727099365e-03 1.2711599374967998e+05 3.5494685352102382e+05 7.4343054425678588e+05 1.2365431300470317e+06 1.6858684007094966e+06 1.8854031771730194e+06 1.7734290362349087e+06 1.5237529196081124e+06 1.2845740354646528e+06 1.0805746909099217e+06 8.9723765553733695e+05 7.3356705346389324e+05 5.9189010854683630e+05 4.7182768680450344e+05 3.7158988201188296e+05 2.8944630300874123e+05 2.2327729968287406e+05 1.7059678234770236e+05 1.2907941078516173e+05 9.6699408189525173e+04 7.1724065301280716e+04 5.2726403953046662e+04 3.8782242862487234e+04 2.9104618169053065e+04 2.1412125091531569e+04 1.4795133561507924e+04 9.9500722361198041e+03 6.7379434833968826e+03 4.6807683743388488e+03 3.3911998323708422e+03 2.5987386673218316e+03 2.1209199749500772e+03 1.8376533864878390e+03 1.6717965228055532e+03 1.5749946175596926e+03 1.5176682547775922e+03 1.4821481071536050e+03 1.4581115634225080e+03 1.4396446400439884e+03 1.4234097077527626e+03 1.4063398393055611e+03 1.3884295105872759e+03 1.3689978220702264e+03 1.3476890979359800e+03 1.3243411073561388e+03 1.2989242024513969e+03 1.2715150578617877e+03 1.2422847407343695e+03 1.2114911710501401e+03 1.1794617750611003e+03 1.1465768619417147e+03 1.1132684513810764e+03 1.0800007919833415e+03 1.0471894473774482e+03 1.0152094213905580e+03 9.8440675852043353e+02 9.5504924072211872e+02 9.2734704962459739e+02 9.0143760544709653e+02 8.7742322337304120e+02 8.5533180885647801e+02 8.3518075547508295e+02 8.1692553676656200e+02 8.0053979778226176e+02 7.8594463093694151e+02 7.7305766983700789e+02 7.6180717609076260e+02 7.5209333295789975e+02 7.4379766276625753e+02 7.3683090743446007e+02 7.3106453842537951e+02 7.2638834367174638e+02 7.2266917566726636e+02 7.1977792290657408e+02 7.1753542730079823e+02 7.1576854931674472e+02 7.1433509412494902e+02 7.1310567714173294e+02 7.1196286881462231e+02 7.1115988603326184e+02 7.1035087470877136e+02 7.0952616335406208e+02 7.0866264221949234e+02 7.0777191522576766e+02 7.0682957965027788e+02 7.0586104697144117e+02 7.0478904849449009e+02 7.0364175588485955e+02 7.0239805076283585e+02 7.0104144213117149e+02 6.9955189087982524e+02 6.9790682220574047e+02 6.9607505972444437e+02 6.9405434280818224e+02 6.9177680166472510e+02 6.8922323391115151e+02 6.8635658109380961e+02 6.8313696255649961e+02 6.7952325051166133e+02 6.7547419225514761e+02 6.7094537554711326e+02 6.6593722945441129e+02 6.6037016986951596e+02 6.5425989277818667e+02 6.4762053229586957e+02 6.4050416507023692e+02 6.3299939907444559e+02 6.2527489277089853e+02 6.1758273597467144e+02 6.1032875037746635e+02 6.0403705456301043e+02 5.9951396974234535e+02 5.9788814580905682e+02 6.0079620894645996e+02 6.1062335586940003e+02 6.3098385603952681e+02 6.6759994651263912e+02 7.3010381987486869e+02 1.1160271163144973e+03 +2.0458506006501994e-03 1.2697804414254600e+05 3.5457173723957367e+05 7.4267602727562666e+05 1.2354411332551192e+06 1.6848587455814451e+06 1.8852686554061151e+06 1.7746420135120109e+06 1.5261970105445830e+06 1.2879639836490317e+06 1.0846651500654924e+06 9.0177421679490968e+05 7.3830218535027397e+05 5.9661338442534860e+05 4.7637151260042551e+05 3.7582769288507185e+05 2.9329641676870588e+05 2.2669828009875843e+05 1.7357645708035323e+05 1.3162691475508787e+05 9.8839215390586047e+04 7.3491038907398193e+04 5.4162937586277381e+04 3.9944723408945036e+04 3.0062713445393620e+04 2.2183693479942336e+04 1.5373087637723536e+04 1.0363531190445872e+04 7.0272416466548548e+03 4.8804006431676598e+03 3.5279591411382235e+03 2.6926071540145963e+03 2.1863025229691316e+03 1.8846030908565438e+03 1.7071114802530617e+03 1.6031319203245223e+03 1.5414626414185097e+03 1.5033490813797455e+03 1.4777667431846528e+03 1.4583619219289021e+03 1.4415295429277855e+03 1.4240178341806402e+03 1.4057649905919816e+03 1.3860294316377006e+03 1.3644233222661974e+03 1.3407679467359269e+03 1.3150258431040386e+03 1.2872708434584397e+03 1.2576742189113427e+03 1.2264961264671736e+03 1.1940675760606432e+03 1.1607733603083580e+03 1.1270507431638866e+03 1.0933696730636482e+03 1.0601508351176533e+03 1.0277738596783511e+03 9.9658905880371515e+02 9.6686751052626073e+02 9.3882197664606861e+02 9.1259155514701001e+02 8.8827980320157258e+02 8.6591494677748688e+02 8.4551456733478847e+02 8.2703355494161838e+02 8.1044518521234590e+02 7.9566951629943844e+02 7.8262309139674016e+02 7.7123321355502139e+02 7.6139878643393729e+02 7.5299987208030848e+02 7.4594617002755228e+02 7.4010766079243388e+02 7.3537287012247725e+02 7.3160707699788531e+02 7.2867960360834286e+02 7.2640906845922723e+02 7.2462015926323977e+02 7.2316888312737285e+02 7.2192422000378929e+02 7.2076726277166347e+02 7.1995434559901094e+02 7.1913532798991548e+02 7.1830041733720975e+02 7.1742621740039374e+02 7.1652447530831455e+02 7.1557048647493207e+02 7.1458997654480572e+02 7.1350472135376640e+02 7.1234324091815790e+02 7.1108415569617569e+02 7.0971077075997334e+02 7.0820279918897370e+02 7.0653738701173643e+02 7.0468297231334725e+02 7.0263726646327257e+02 7.0033156043492136e+02 6.9774641435500257e+02 6.9484431148751628e+02 6.9158487800006151e+02 6.8792647750583330e+02 6.8382734715194999e+02 6.7924252549168421e+02 6.7417244685019375e+02 6.6853654302195184e+02 6.6235070406666080e+02 6.5562923888526473e+02 6.4842486812461334e+02 6.4082729551773150e+02 6.3300726521443289e+02 6.2521998447304338e+02 6.1787629347706184e+02 6.1150679230915694e+02 6.0692777341110138e+02 6.0528184396898371e+02 6.0822586925464691e+02 6.1817454217987552e+02 6.3878682755626164e+02 6.7585572567207373e+02 7.3913254417921246e+02 1.1298191093094522e+03 +2.0584596652311856e-03 1.2684008345324025e+05 3.5419671422612516e+05 7.4192139450037363e+05 1.2343367339219204e+06 1.6838387417127097e+06 1.8851089843846669e+06 1.7758146422034034e+06 1.5285911606209788e+06 1.2912998771298046e+06 1.0887016797189601e+06 9.0626092548549687e+05 7.4299468355994346e+05 6.0130320717844786e+05 4.8089192383676651e+05 3.8005204704483697e+05 2.9714219718949503e+05 2.3012272989742897e+05 1.7656584055073585e+05 1.3418873393093268e+05 1.0099637010140161e+05 7.5276971171905592e+04 5.5618859785864377e+04 4.1126340004686710e+04 3.1039737389350103e+04 2.2973342149176820e+04 1.5966916394186934e+04 1.0790095493770859e+04 7.3269272161913304e+03 5.0879912498839331e+03 3.6706330284513474e+03 2.7907542109102897e+03 2.2547104913955709e+03 1.9336561543889645e+03 1.7438761808865522e+03 1.6322714813426439e+03 1.5659626623519744e+03 1.5250647748372232e+03 1.4978168932228205e+03 1.4774005953180595e+03 1.4599261328775540e+03 1.4419439821081874e+03 1.4233315253693393e+03 1.4032812706080672e+03 1.3813702299376828e+03 1.3574015381712563e+03 1.3313290193931823e+03 1.3032231937121685e+03 1.2732553067791514e+03 1.2416876574681496e+03 1.2088548191040147e+03 1.1751460894122602e+03 1.1410040238579049e+03 1.1069043319910595e+03 1.0732728787772674e+03 1.0404939754043380e+03 1.0089222522712751e+03 9.7883212261310803e+02 9.5043895875375983e+02 9.2388355558290232e+02 8.9927072585573455e+02 8.7662901793853314e+02 8.5597620083177674e+02 8.3726657019200172e+02 8.2047302223493546e+02 8.0551456059781276e+02 7.9230661566078254e+02 7.8077551218134170e+02 7.7081885559384807e+02 7.6231523542240291e+02 7.5517331061616596e+02 7.4926157201680621e+02 7.4446728622582975e+02 7.4065415170767903e+02 7.3768990895541435e+02 7.3539092235161729e+02 7.3357967229627343e+02 7.3211033668748973e+02 7.3085023198823228e+02 7.2967894970077884e+02 7.2885597607205625e+02 7.2802682983981231e+02 7.2718159545462277e+02 7.2629658653552383e+02 7.2538369509978224e+02 7.2441791098307476e+02 7.2342527787561210e+02 7.2232660441946052e+02 7.2115076326059864e+02 7.1987611051214822e+02 7.1848574483057882e+02 7.1695912846501005e+02 7.1527312487232507e+02 7.1339578190075690e+02 7.1132478262881125e+02 7.0899056849264707e+02 7.0637345926618787e+02 7.0343547434645177e+02 7.0013574071674736e+02 6.9643210719115109e+02 6.9228229455214603e+02 6.8764078544271592e+02 6.8250801956477301e+02 6.7680243254577670e+02 6.7054011091938560e+02 6.6373554049721110e+02 6.5644209377753748e+02 6.4875058360453920e+02 6.4083386523253660e+02 6.3295030134267893e+02 6.2551581181427366e+02 6.1906755714487713e+02 6.1443192254792837e+02 6.1276564257626524e+02 6.1574606824656098e+02 6.2581774810687205e+02 6.4668488697454654e+02 6.8421211068493471e+02 7.4827129357383399e+02 1.1437815011581265e+03 +2.0711464424807103e-03 1.2670211031125723e+05 3.5382178118476068e+05 7.4116662875394779e+05 1.2332299898208377e+06 1.6828085559944690e+06 1.8849244914603326e+06 1.7769473549681457e+06 1.5309358130241581e+06 1.2945820615582592e+06 1.0926844582334969e+06 9.1069775213356398e+05 7.4764429725094885e+05 6.0595912250855239e+05 4.8538830205873959e+05 3.8426221525254531e+05 3.0098286239766027e+05 2.3354986932433836e+05 1.7956420187726698e+05 1.3676422241459470e+05 1.0317033556467939e+05 7.7081446706480623e+04 5.7093877788132930e+04 4.2326914611419576e+04 3.2035617575413569e+04 2.3781100209355387e+04 1.6576732939549067e+04 1.1229931395515880e+04 7.6371897542434062e+03 5.3037297559815552e+03 3.8193952298721147e+03 2.8933288840880000e+03 2.3262650253576267e+03 1.9849066300865829e+03 1.7821608195080553e+03 1.6624639676575594e+03 1.5912039251213932e+03 1.5473197553992379e+03 1.5182788373908331e+03 1.4967722564067394e+03 1.4786076589171134e+03 1.4601241682793388e+03 1.4411336196715947e+03 1.4207570230891158e+03 1.3985330150009270e+03 1.3742447752639291e+03 1.3478364305130349e+03 1.3193746713706789e+03 1.2890304616550075e+03 1.2570681322385531e+03 1.2238257917743147e+03 1.1896972608734761e+03 1.1551304320560791e+03 1.1206068367611758e+03 1.0865575781909718e+03 1.0533717029238412e+03 1.0214082108521358e+03 9.9094488983308781e+02 9.6219975328703561e+02 9.3531531223348338e+02 9.1039764860033949e+02 8.8747563484359966e+02 8.6656722683907503e+02 8.4762611428014372e+02 8.3062480317223969e+02 8.1548122110262466e+02 8.0210966172471637e+02 7.9043545044401708e+02 7.8035487529723025e+02 7.7174504182016676e+02 7.6451357241931873e+02 7.5852747247450498e+02 7.5367275526542267e+02 7.4981153347438715e+02 7.4680995088430507e+02 7.4448208616632473e+02 7.4264817627440175e+02 7.4116053704343585e+02 7.3988479191696592e+02 7.3869900609175784e+02 7.3786585256748867e+02 7.3702645408449462e+02 7.3617077026254503e+02 7.3527482086818009e+02 7.3435064449316940e+02 7.3337292164009466e+02 7.3236801797179783e+02 7.3125576307908739e+02 7.3006538656473685e+02 7.2877497698259776e+02 7.2736742406273186e+02 7.2582193617681639e+02 7.2411509077068717e+02 7.2221454069662775e+02 7.2011794046626756e+02 7.1775487155460837e+02 7.1510541050064808e+02 7.1213110719312124e+02 7.0879058336049081e+02 7.0504116675877367e+02 7.0084005552708425e+02 6.9614116962344008e+02 6.9094495425619039e+02 6.8516883668339369e+02 6.7882910233891187e+02 6.7194041609924045e+02 6.6455681023872160e+02 6.5677022019938215e+02 6.4875563801380667e+02 6.4077462013967124e+02 6.3324822798570949e+02 6.2672026215665096e+02 6.2202732340083423e+02 6.2034044541925266e+02 6.2335771410661346e+02 6.3355389668989039e+02 6.5467898811154680e+02 6.9267011071653496e+02 7.5752117171343878e+02 1.1579163963007445e+03 +2.0839114113604612e-03 1.2656412305531243e+05 3.5344694469339767e+05 7.4041176668709237e+05 1.2321209331024524e+06 1.6817683137566741e+06 1.8847154883867395e+06 1.7780405861669511e+06 1.5332314004416869e+06 1.2978108864305736e+06 1.0966136715755812e+06 9.1508468010819878e+05 7.5225079245375143e+05 6.1058069417285244e+05 4.8986004628855607e+05 3.8845748339093808e+05 3.0481764189619792e+05 2.3697892543637168e+05 1.8257081214782220e+05 1.3935273166961622e+05 1.0536056842742849e+05 7.8904040514691922e+04 5.8587687285224667e+04 4.3546256625137277e+04 3.3050268471466516e+04 2.4606984154968304e+04 1.7202639829564214e+04 1.1683197473950799e+04 7.9582141140244021e+03 5.5278036276925232e+03 3.9744194188010515e+03 3.0004815338585290e+03 2.4010893475551561e+03 2.0384509168589689e+03 1.8220378584180608e+03 1.6937620321702407e+03 1.6172236553248176e+03 1.5701398367469237e+03 1.5391703162067079e+03 1.5164891522266789e+03 1.4975827526272908e+03 1.4785645759898425e+03 1.4591759752927228e+03 1.4384605056048979e+03 1.4159149637339733e+03 1.3913006192736470e+03 1.3645508283654665e+03 1.3357278827157304e+03 1.3050021786098823e+03 1.2726399529124583e+03 1.2389828129408766e+03 1.2044291155999715e+03 1.1694321340389965e+03 1.1344792816963436e+03 1.1000069583151837e+03 1.0664090006304548e+03 1.0340488295161040e+03 1.0032076471468984e+03 9.7410613881483653e+02 9.4688855096785142e+02 9.2166224827146016e+02 8.9845642873668828e+02 8.7728923408937578e+02 8.5811373582715942e+02 8.4090203797707647e+02 8.2557096910905386e+02 8.1203366054377523e+02 8.0021441580021724e+02 7.9000818574177572e+02 7.8129058137597633e+02 7.7396819516627443e+02 7.6790655461162783e+02 7.6299042868085348e+02 7.5908034100716384e+02 7.5604082410468061e+02 7.5368363840032669e+02 7.5182673951957099e+02 7.5032054647211248e+02 7.4902895847313766e+02 7.4782848825016777e+02 7.4698503001371034e+02 7.4613525437935914e+02 7.4526899416703839e+02 7.4436197151485521e+02 7.4342637328229284e+02 7.4243656683844915e+02 7.4141924379531258e+02 7.4029324270256541e+02 7.3908815449859219e+02 7.3778179692954075e+02 7.3635684826729016e+02 7.3479225992264094e+02 7.3306431986412133e+02 7.3114028113948939e+02 7.2901776942305139e+02 7.2662549569057853e+02 7.2394329034049315e+02 7.2093222805765276e+02 7.1755041918582231e+02 7.1375466410251624e+02 7.0950163196316009e+02 7.0474467319997905e+02 6.9948423866690155e+02 6.9363673491955103e+02 6.8721864874822631e+02 6.8024482626565839e+02 6.7276996752596483e+02 6.6488714418944187e+02 6.5677351098514237e+02 6.4869385688203840e+02 6.4107444725392668e+02 6.3446580327332867e+02 6.2971486519121731e+02 6.2800713930535937e+02 6.3106169795408709e+02 6.4138389362411181e+02 6.6277006686329264e+02 7.0123071596962302e+02 7.6688326151510921e+02 1.1722259251525375e+03 +2.0967550537840805e-03 1.2642612113351376e+05 3.5307220184102049e+05 7.3965679478538875e+05 1.2310096130316078e+06 1.6807181781735413e+06 1.8844822836778860e+06 1.7790947776989602e+06 1.5354783631701339e+06 1.3009866989328468e+06 1.1004895148162085e+06 9.1942170552863076e+05 7.5681395161457569e+05 6.1516750376704580e+05 4.9430657296033972e+05 3.9263715258019621e+05 3.0864577685369522e+05 2.4040913251599780e+05 1.8558494492233163e+05 1.4195361106337552e+05 1.0756651926754075e+05 8.0744318456274152e+04 6.0099972789554180e+04 4.4784163119568140e+04 3.4083591546847827e+04 2.5450997821740959e+04 1.7844728885053479e+04 1.2150044361344437e+04 8.2901801270199776e+03 5.7603979339950902e+03 4.1358789498787855e+03 3.1123636420440453e+03 2.4793086329684770e+03 2.0943876941818144e+03 1.8635820082857081e+03 1.7262203252762770e+03 1.6440607250266994e+03 1.5935521128742894e+03 1.5605100204430903e+03 1.5365642096292349e+03 1.5168605189063337e+03 1.4972717035399494e+03 1.4774635028565199e+03 1.4563956750553880e+03 1.4335194599099666e+03 1.4085721025773428e+03 1.3814750198561076e+03 1.3522854791153818e+03 1.3211729915576702e+03 1.2884055563718362e+03 1.2543282333692150e+03 1.2193439242782458e+03 1.1839113241777084e+03 1.1485237877892821e+03 1.1136230695343202e+03 1.0796078512235586e+03 1.0468460265052850e+03 1.0156222518239977e+03 9.8615991531316592e+02 9.5860501819286117e+02 9.3306622138990610e+02 9.0957304967790344e+02 8.8814382919694356e+02 8.6873100025984434e+02 8.5130625207233595e+02 8.3578528961999484e+02 8.2208005438531598e+02 8.1011380381802667e+02 7.9978013118188062e+02 7.9095314348566274e+02 7.8353841277860022e+02 7.7740000010614540e+02 7.7242144276905833e+02 7.6846167437612826e+02 7.6538360216688716e+02 7.6299663475276031e+02 7.6111640661223942e+02 7.5959140303699405e+02 7.5828376593553241e+02 7.5706842802173094e+02 7.5621453888753581e+02 7.5535425994520870e+02 7.5447729516243407e+02 7.5355906520956250e+02 7.5261190690596777e+02 7.5160987065042787e+02 7.5057997802012073e+02 7.4944006441159513e+02 7.4822008652012698e+02 7.4689758800956099e+02 7.4545503313311553e+02 7.4387111323413365e+02 7.4212182329940288e+02 7.4017401171993652e+02 7.3802527506797389e+02 7.3560344316838916e+02 7.3288809735362588e+02 7.2983983135335654e+02 7.2641623794026464e+02 7.2257358373418583e+02 7.1826800250454892e+02 7.1345226825128748e+02 7.0812683762760253e+02 7.0220708401944637e+02 6.9570969805899074e+02 6.8864970928761329e+02 6.8108249362028403e+02 6.7310227268069059e+02 6.6488839006156536e+02 6.5670890633562078e+02 6.4899535388282936e+02 6.4230505564291502e+02 6.3749541651202173e+02 6.3576659046985026e+02 6.3885889023707568e+02 6.4930862359619289e+02 6.7095903741518237e+02 7.0989489367676026e+02 7.7635862077943648e+02 1.1867122444235781e+03 +2.1096778546353598e-03 1.2628810608228072e+05 3.5269755243895372e+05 7.3890173902109649e+05 1.2298960671839425e+06 1.6796582902205654e+06 1.8842251887997328e+06 1.7801103556572616e+06 1.5376771483847729e+06 1.3041098578121555e+06 1.1043121933448950e+06 9.2370883760126622e+05 7.6133357315541571e+05 6.1971915059418092e+05 4.9872731586205872e+05 3.9680053927288001e+05 3.1246652037459752e+05 2.4383973246727488e+05 1.8860587672202973e+05 1.4456620839914982e+05 1.0978763311866195e+05 8.2601837714605615e+04 6.1630408007703540e+04 4.6040419103631066e+04 3.5135475398591763e+04 2.6313132363194254e+04 1.8503081027750468e+04 1.2630614482239786e+04 8.6332622974075148e+03 6.0016950457074281e+03 4.3039465987661952e+03 3.2291276126198818e+03 2.5610498757280770e+03 2.1528178491911681e+03 1.9068702027677889e+03 1.7598955019364626e+03 1.6717556783211016e+03 1.6175849911398470e+03 1.5823176242834429e+03 1.5570110644227600e+03 1.5364505594831496e+03 1.5162523816726912e+03 1.4960013341078024e+03 1.4745666370730462e+03 1.4513499903524030e+03 1.4260623323343705e+03 1.3986118693187348e+03 1.3690501586673454e+03 1.3375454744027095e+03 1.3043674150756992e+03 1.2698644363562953e+03 1.2344439878745557e+03 1.1985702253477029e+03 1.1627425030562699e+03 1.1274079879631472e+03 1.0929702619713253e+03 1.0598017435656145e+03 1.0281905836523338e+03 9.9836290433854140e+02 9.7046648099600577e+02 9.4461128426710695e+02 9.2082716660356709e+02 8.9913263666193973e+02 8.7947948973362213e+02 8.6183898615802809e+02 8.4612568097742133e+02 8.3225029620753401e+02 8.2013501720088288e+02 8.0967205848532763e+02 8.0073401484844442e+02 7.9322545078890494e+02 7.8700897670586369e+02 7.8196691500948543e+02 7.7795661093565843e+02 7.7483933308721828e+02 7.7242210356506371e+02 7.7051819372224350e+02 7.6897411586624958e+02 7.6765021943372994e+02 7.6641982805129066e+02 7.6555538046609240e+02 7.6468447082596026e+02 7.6379667209964987e+02 7.6286709957496714e+02 7.6190824173117289e+02 7.6089382810965787e+02 7.5985121432572726e+02 7.5869722037505267e+02 7.5746217318360027e+02 7.5612333902411524e+02 7.5466296555199267e+02 7.5305948090548804e+02 7.5128858355495254e+02 7.4931671233207965e+02 7.4714143445983075e+02 7.4468968783925004e+02 7.4194080179525838e+02 7.3885488329827479e+02 7.3538900130987054e+02 7.3149888225147322e+02 7.2714011804858774e+02 7.2226489929768604e+02 7.1687368861552306e+02 7.1088081361945729e+02 7.0430317130549645e+02 6.9715597685223827e+02 6.8949529018885778e+02 6.8141649677590817e+02 6.7310115547135138e+02 6.6482063789766960e+02 6.5701180706305433e+02 6.5023886959811864e+02 6.4536982132860885e+02 6.4361964058540048e+02 6.4675013672223156e+02 6.5732894620798936e+02 6.7924678803137215e+02 7.1866358364554480e+02 7.8594827731243481e+02 1.2013775374435068e+03 +2.1226803017865446e-03 1.2615007395888871e+05 3.5232299874162383e+05 7.3814659019698668e+05 1.2287803377903351e+06 1.6785887922488959e+06 1.8839445323269053e+06 1.7810877556384995e+06 1.5398281877625561e+06 1.3071807211668564e+06 1.1080819221379410e+06 9.2794609897742269e+05 7.6580947132377396e+05 6.2423525152463280e+05 5.0312172607885604e+05 4.0094697534285305e+05 3.1627913774933567e+05 2.4726997519268503e+05 1.9163288750547529e+05 1.4718987043998908e+05 1.1202334999051904e+05 8.4476147267121749e+04 6.3178656222375015e+04 4.7314797792260957e+04 3.6205795894650546e+04 2.7193366246709211e+04 1.9177766134029887e+04 1.3125041805249843e+04 8.9876295040629593e+03 6.2518743364483489e+03 4.4787942989101366e+03 3.3509265661638156e+03 2.6464417483780308e+03 2.2138443962719243e+03 1.9519815667167409e+03 1.7948462239994112e+03 1.7003507538232893e+03 1.6422682236766575e+03 1.6046138178720191e+03 1.5778440905756327e+03 1.5563629968147482e+03 1.5355137915128689e+03 1.5147948346813491e+03 1.4929776547664371e+03 1.4694101507840335e+03 1.4437744943560979e+03 1.4159643010942773e+03 1.3860246679326340e+03 1.3541222422428823e+03 1.3205280379350804e+03 1.2855938383844127e+03 1.2497316381508238e+03 1.2134110893516020e+03 1.1771376028905372e+03 1.1413638157523997e+03 1.1064982649742490e+03 1.0729179461783922e+03 1.0409145451285406e+03 1.0107169491884974e+03 9.8247472727186062e+02 9.5629917309562495e+02 9.3222046736697462e+02 9.1025729884350869e+02 8.9036080301959782e+02 8.7250179596908629e+02 8.5659365443003060e+02 8.4254584894478319e+02 8.3027946467795755e+02 8.1968531551608953e+02 8.1063447724260868e+02 8.0303052346006825e+02 7.9673463471117702e+02 7.9162793998664472e+02 7.8756620079263450e+02 7.8440903449431050e+02 7.8196104075397648e+02 7.8003308342257458e+02 7.7846965990968863e+02 7.7712928968504536e+02 7.7588365651154834e+02 7.7500852156378255e+02 7.7412685262902517e+02 7.7322808942594804e+02 7.7228703787457084e+02 7.7131633980517665e+02 7.7028939997725126e+02 7.6923391216610685e+02 7.6806566858850545e+02 7.6681537092396525e+02 7.6546000471781815e+02 7.6398159842258860e+02 7.6235831380959905e+02 7.6056554926659362e+02 7.5856932911859349e+02 7.5636719100276775e+02 7.5388517001168191e+02 7.5110234050136444e+02 7.4797831683250399e+02 7.4446963785631624e+02 7.4053148330299450e+02 7.3611889674054919e+02 7.3118347832168649e+02 7.2572569681416053e+02 7.1965882133795606e+02 7.1299995779878293e+02 7.0576450924503877e+02 6.9800922784521754e+02 6.8983067688583253e+02 6.8141265712386723e+02 6.7302989101822368e+02 6.6512463639340581e+02 6.5826806618536818e+02 6.5333889453828726e+02 6.5156710233580895e+02 6.5473625404464008e+02 6.6544569145246419e+02 6.8763417638173689e+02 7.2753769331249316e+02 7.9565322351902421e+02 1.2162240144890557e+03 +2.1357628861167531e-03 1.2601202380051624e+05 3.5194853686569538e+05 7.3739136302125920e+05 1.2276624795484683e+06 1.6775098279233687e+06 1.8836405897197472e+06 1.7820273876501275e+06 1.5419319300203528e+06 1.3101996518262941e+06 1.1117989231210577e+06 9.3213352472108917e+05 7.7024147610418545e+05 6.2871544075522514e+05 5.0748927191586676e+05 4.0507580816659570e+05 3.2008290667146287e+05 2.5069911895156340e+05 1.9466526112952791e+05 1.4982394342021819e+05 1.1427310538554647e+05 8.6366788357544079e+04 6.4744370682656030e+04 4.8607060889575849e+04 3.7294416334125352e+04 2.8091665268544763e+04 1.9868842906847054e+04 1.3633451608928459e+04 9.3534447111615536e+03 6.5111118862427647e+03 4.6605928760321276e+03 3.4779141286006902e+03 2.7356144537648529e+03 2.2775723891788534e+03 1.9989973779247603e+03 1.8311331575951142e+03 1.7298899038847919e+03 1.6676329369722541e+03 1.6274203391185781e+03 1.5990784293652837e+03 1.5766084983209050e+03 1.5550634829950704e+03 1.5338496173350702e+03 1.5116331578649472e+03 1.4877036519834403e+03 1.4617118572079560e+03 1.4335353022465465e+03 1.4032118037736625e+03 1.3709059526396675e+03 1.3368899712162427e+03 1.3015188898033043e+03 1.2652092381961093e+03 1.2284361973442271e+03 1.1917112904168489e+03 1.1554926813866646e+03 1.1201939174241829e+03 1.0861966237785682e+03 1.0537960616464429e+03 1.0232239150582280e+03 9.9463156584178932e+02 9.6813164401794768e+02 9.4375465876252110e+02 9.2151947591680846e+02 9.0137655536320210e+02 8.8329625198943586e+02 8.6719073363174186e+02 8.5296818469741879e+02 8.4054855976406782e+02 8.2982124932855481e+02 8.2065580505004323e+02 8.1295483059057074e+02 8.0657810307274212e+02 8.0140558486157022e+02 7.9729146178287772e+02 7.9409368824899320e+02 7.9161440419986741e+02 7.8966201894934113e+02 7.8807897013209083e+02 7.8672190716284126e+02 7.8546084126901530e+02 7.8457488870064753e+02 7.8368233070184510e+02 7.8277247137069651e+02 7.8181980319676302e+02 7.8083712305291488e+02 7.7979750694558811e+02 7.7872899098084645e+02 7.7754632709506564e+02 7.7628059628900871e+02 7.7490850001578201e+02 7.7341184490387752e+02 7.7176852316404165e+02 7.6995362950833760e+02 7.6793276876330401e+02 7.6570344875731564e+02 7.6319079077810534e+02 7.6037361123830510e+02 7.5721102598605250e+02 7.5365903741564216e+02 7.4967227201683693e+02 7.4520521843145298e+02 7.4020887927275942e+02 7.3468372965878564e+02 7.2854196735728522e+02 7.2180090976192321e+02 7.1447615004026318e+02 7.0662514089056390e+02 6.9834563753634916e+02 6.8982370948365519e+02 6.8133747013789264e+02 6.7333463687336609e+02 6.6639343220774595e+02 6.6140341705207993e+02 6.5960975451128149e+02 6.6281802478157931e+02 6.7365965470811648e+02 6.9612202436603297e+02 7.3651809226729074e+02 8.0547441041816717e+02 1.2312539131173198e+03 +2.1489261015305086e-03 1.2587395817072807e+05 3.5157417329041084e+05 7.3663606221898634e+05 1.2265425177442345e+06 1.6764215537463764e+06 1.8833136628475599e+06 1.7829296881324588e+06 1.5439888103030692e+06 1.3131670169325639e+06 1.1154634254314490e+06 9.3627116135451407e+05 7.7462943298609438e+05 6.3315936953255418e+05 5.1182943881817436e+05 4.0918640069274179e+05 3.2387711742802348e+05 2.5412643070248212e+05 1.9770228579454386e+05 1.5246777354888403e+05 1.1653633081043563e+05 8.8273294968331218e+04 6.6327195000324835e+04 4.9916958883947227e+04 3.8401187623537633e+04 2.9007982587977618e+04 2.0576358765673682e+04 1.4155960262061142e+04 9.7308646877134997e+03 6.7795801884178409e+03 4.8495117809162812e+03 3.6102442147392194e+03 2.8286995698759770e+03 2.3441088257796828e+03 2.0480010223065292e+03 1.8688189654160105e+03 1.7604188103158717e+03 1.6937116594206514e+03 1.6507600046071316e+03 1.6207300183716943e+03 1.5971983008701020e+03 1.5749093937270275e+03 1.5531715556554848e+03 1.5305377522595588e+03 1.5062343262486686e+03 1.4798777765044870e+03 1.4513279254344532e+03 1.4206144152830443e+03 1.3878993069508911e+03 1.3534557994999996e+03 1.3176420755352531e+03 1.2808791829698162e+03 1.2436478602731613e+03 1.2064657968541735e+03 1.1697967399882214e+03 1.1340593018587410e+03 1.0996397899708925e+03 1.0668370816766594e+03 1.0358856891768287e+03 1.0069388265502791e+03 9.8011047319126124e+02 9.5543146652206440e+02 9.3292084579610548e+02 9.1252837829855150e+02 8.9422393911215102e+02 8.7791845407364701e+02 8.6351878381818415e+02 8.5094371936382026e+02 8.4008120415452561e+02 8.3079926250472818e+02 8.2299955396392943e+02 8.1654048506849574e+02 8.1130088436448352e+02 8.0713337391690652e+02 8.0389423449296669e+02 8.0138310754547467e+02 7.9940589785112445e+02 7.9780293509650176e+02 7.9642895565168828e+02 7.9515226343515064e+02 7.9425536165656251e+02 7.9335178368610980e+02 7.9243069550778353e+02 7.9146627203279195e+02 7.9047146685771907e+02 7.8941902322779231e+02 7.8833732379623405e+02 7.8714006759284860e+02 7.8585871955685843e+02 7.8446969365853056e+02 7.8295457205515936e+02 7.8129097418525907e+02 7.7945368746073655e+02 7.7740789217511099e+02 7.7515106614585409e+02 7.7260740574276315e+02 7.6975546645068869e+02 7.6655385965745143e+02 7.6295804490278829e+02 7.5892208883751800e+02 7.5439991855739493e+02 7.4934193198083824e+02 7.4374861079587572e+02 7.3753106843543674e+02 7.3070683639465074e+02 7.2329170022416668e+02 7.1534382151030331e+02 7.0696216162957239e+02 6.9833508589676910e+02 6.8974413908456427e+02 6.8164256337006702e+02 6.7461571474968400e+02 6.6956413035864921e+02 6.6774833658464127e+02 6.7099619200210054e+02 6.8197159119950709e+02 7.0471111239077186e+02 7.4560560619940907e+02 8.1541274101978752e+02 1.2464694985011809e+03 +2.1621704449763858e-03 1.2573587042821301e+05 3.5119989688617934e+05 7.3588070011056820e+05 1.2254205010592053e+06 1.6753240827540837e+06 1.8829640606334361e+06 1.7837950652301661e+06 1.5459992599169514e+06 1.3160831861341936e+06 1.1190756656071723e+06 9.4035906720826123e+05 7.7897320250374125e+05 6.3756670591649087e+05 5.1614172930862528e+05 4.1327813148915290e+05 3.2766107307588420e+05 2.5755118643174632e+05 2.0074325447641910e+05 1.5512070750067796e+05 1.1881245428096782e+05 9.0195194294808898e+04 6.7926763552764402e+04 5.1244231354280651e+04 3.9525948468614886e+04 2.9942258779931402e+04 2.1300349754799256e+04 1.4692675018844400e+04 1.0120039736947865e+04 7.0574478606378671e+03 5.0457188212682950e+03 3.7480708071222712e+03 2.9258298879248141e+03 2.4135625455184668e+03 2.0990779424716357e+03 1.9079682937511520e+03 1.7919848964379298e+03 1.7205383466608566e+03 1.6746567394297990e+03 1.6428156202031082e+03 1.6181442354589394e+03 1.5950598682575312e+03 1.5727667981997536e+03 1.5496962299295024e+03 1.5250061341548874e+03 1.4982756994554345e+03 1.4693452919437793e+03 1.4382354058302728e+03 1.4051050517391143e+03 1.3702281466688789e+03 1.3339659158056336e+03 1.2967438998607363e+03 1.2590484193167561e+03 1.2214033818714283e+03 1.1842781736139793e+03 1.1480965264093645e+03 1.1132494827378121e+03 1.0800395769333466e+03 1.0487041809456807e+03 1.0193983603596462e+03 9.9223745681926800e+02 9.6725263529407039e+02 9.4446310402668041e+02 9.2381791942526445e+02 9.0528645624247474e+02 8.8877836242535147e+02 8.7419913388101338e+02 8.6146636221797394e+02 8.5046651916281542e+02 8.4106610064232495e+02 8.3316585342739847e+02 8.2662285352093761e+02 8.2131483526176680e+02 8.1709287324509091e+02 8.1381156508246306e+02 8.1126801334729294e+02 8.0926556498374521e+02 8.0764238987368606e+02 8.0625126513296550e+02 8.0495875024643590e+02 8.0405076635530747e+02 8.0313603641413579e+02 8.0220358565620108e+02 8.0122726718027229e+02 8.0022019297780298e+02 7.9915476948006517e+02 7.9805973015681525e+02 7.9684770838182601e+02 7.9555055769376577e+02 7.9414440116642061e+02 7.9261059382253666e+02 7.9092647908773267e+02 7.8906653342689151e+02 7.8699550752560106e+02 7.8471084900385381e+02 7.8213581809608490e+02 7.7924870636296589e+02 7.7600761474187857e+02 7.7236745347213230e+02 7.6828172272321217e+02 7.6370378137469061e+02 7.5858341543655831e+02 7.5292111341310226e+02 7.4662689129848786e+02 7.3971849732641317e+02 7.3221191171681858e+02 7.2416601335992391e+02 7.1568098410605069e+02 7.0694751233542002e+02 6.9825061489439543e+02 6.9004912450732877e+02 6.8293561512887970e+02 6.7782173052416726e+02 6.7598354272873814e+02 6.7927145325425727e+02 6.9038220988565047e+02 7.1340217305689919e+02 7.5480101021573626e+02 8.2546906301446654e+02 1.2618730637706999e+03 +2.1754964164657714e-03 1.2559776459058610e+05 3.5082572347578692e+05 7.3512527142020268e+05 1.2242964734165561e+06 1.6742175552351277e+06 1.8825920664165753e+06 1.7846239479669991e+06 1.5479637273764166e+06 1.3189485326128053e+06 1.1226358873045037e+06 9.4439731230783905e+05 7.8327265969347407e+05 6.4193713456206908e+05 5.2042566292229667e+05 4.1735039477158216e+05 3.3143408961217286e+05 2.6097267146705737e+05 2.0378746534203246e+05 1.5778209289746903e+05 1.2110090082136184e+05 9.2132007217202176e+04 6.9542701890774551e+04 5.2588607286131584e+04 4.0668525581215305e+04 3.0894421905667132e+04 2.2040840469720959e+04 1.5243693829201633e+04 1.0521113435902686e+04 7.3448793606598174e+03 5.2493798932568088e+03 3.8915477307478773e+03 3.0271392440341106e+03 2.4860441197816585e+03 2.1523155796634364e+03 1.9486477541061013e+03 1.8246373352632127e+03 1.7481484045079701e+03 1.6991356058058909e+03 1.6653528508154664e+03 1.6394587519970155e+03 1.6155236777112452e+03 1.5926417830532071e+03 1.5691135792606735e+03 1.5440231716417270e+03 1.5169091696329290e+03 1.4875905948691397e+03 1.4560777352004964e+03 1.4225259802304686e+03 1.3872096769486707e+03 1.3504929668995851e+03 1.3128058492580601e+03 1.2746402463368377e+03 1.2365263339516755e+03 1.1989391915566393e+03 1.1623077250515639e+03 1.1270277646385618e+03 1.0934055425342638e+03 1.0616813220466122e+03 1.0320120394165810e+03 1.0045144111725597e+03 9.7921992858994042e+02 9.5614796364287156e+02 9.3524684213689568e+02 9.1648541583875385e+02 8.9977201579803500e+02 8.8501072852786376e+02 8.7211790717243252e+02 8.6097852597773510e+02 8.5145755392527076e+02 8.4345486254760726e+02 8.3682624552317145e+02 8.3144839024945657e+02 8.2717084508985590e+02 8.2384651634472402e+02 8.2126992552351192e+02 8.1924180478226140e+02 8.1759810823909368e+02 8.1618960394219141e+02 8.1488106721895963e+02 8.1396186702103671e+02 8.1303585207103652e+02 8.1209190405297204e+02 8.1110354992801740e+02 8.1008406173956507e+02 8.0900550500846236e+02 8.0789696834227641e+02 8.0667000658794564e+02 8.0535686659220278e+02 8.0393337709420291e+02 8.0238066330106039e+02 8.0067578936630639e+02 7.9879291713255429e+02 7.9669636256467129e+02 7.9438354292798988e+02 7.9177677098552226e+02 7.8885407137769823e+02 7.8557302856052286e+02 7.8188799698700223e+02 7.7775190365247477e+02 7.7311753250996594e+02 7.6793405039612060e+02 7.6220195290085087e+02 7.5583014535183338e+02 7.4883659539883513e+02 7.4123748022598454e+02 7.3309240450167636e+02 7.2450278496498822e+02 7.1566166049847891e+02 7.0685756099665639e+02 6.9855497593504913e+02 6.9135378223546422e+02 6.8617686157803837e+02 6.8431601522128597e+02 6.8764445393891833e+02 6.9889216672460384e+02 7.2219588419389811e+02 7.6410502147489296e+02 8.3564416072571942e+02 1.2774669303571359e+03 +2.1889045190917420e-03 1.2545963734096132e+05 3.5045163972526096e+05 7.3436979848212656e+05 1.2231704579568782e+06 1.6731021207582226e+06 1.8821980043859775e+06 1.7854167448914619e+06 1.5498826569758777e+06 1.3217634325968779e+06 1.1261443414450742e+06 9.4838597792631283e+05 7.8752769377748854e+05 6.4627035649400775e+05 5.2468077609621466e+05 4.2140260040648468e+05 3.3519549614937394e+05 2.6439018077683321e+05 2.0683422214988965e+05 1.6045127877744424e+05 1.2340109295631130e+05 9.4083248772969120e+04 7.1174627150712040e+04 5.3949805397700999e+04 4.1828733900300918e+04 3.1864387601367842e+04 2.2797844001680027e+04 1.5809105164653192e+04 1.0934222385901379e+04 7.6420347076226853e+03 5.4606587134518040e+03 4.0408284241941474e+03 3.1327623448926288e+03 2.5616657352831257e+03 2.2078033090661406e+03 1.9909258993271812e+03 1.8584270536266606e+03 1.7765787092827297e+03 1.7242228303186282e+03 1.6883602073336799e+03 1.6611549441131306e+03 1.6363100397303758e+03 1.6128032528090100e+03 1.5887949957421358e+03 1.5632896773954985e+03 1.5357818319624685e+03 1.5060671024809681e+03 1.4741444218648378e+03 1.4401649338783559e+03 1.4044030959895440e+03 1.3672258219481978e+03 1.3290675251463890e+03 1.2904257443319000e+03 1.2518369707553070e+03 1.2137820306300871e+03 1.1766950578345027e+03 1.1409767229987581e+03 1.1069369971452663e+03 1.0748190665442112e+03 1.0447817571041605e+03 1.0169431725790063e+03 9.9133512870682193e+02 9.6797715499296623e+02 9.4681682530606747e+02 9.2782244338754367e+02 9.1090098090838330e+02 8.9595506617906574e+02 8.8289977124834365e+02 8.7161854593071723e+02 8.6197483651475045e+02 8.5386768383597575e+02 8.4715165662946617e+02 8.4170245123459790e+02 8.3736811660214278e+02 8.3399986111040926e+02 8.3138958105280119e+02 8.2933533276704065e+02 8.2767079407805011e+02 8.2624467014657739e+02 8.2491990951691378e+02 8.2398935755524087e+02 8.2305192357437511e+02 8.2209634274421751e+02 8.2109581145811194e+02 8.2006376344773741e+02 8.1897191918908663e+02 8.1784972680034207e+02 8.1660764961169036e+02 8.1527833253221843e+02 8.1383730650768894e+02 8.1226546423165189e+02 8.1053958730714453e+02 8.0863351925844574e+02 8.0651113618078773e+02 8.0416982484901393e+02 8.0153093911950396e+02 7.9857223371177156e+02 7.9525077053210907e+02 7.9152034172372191e+02 7.8733329437597581e+02 7.8264183076433596e+02 7.7739449123626855e+02 7.7159177876566832e+02 7.6514147467203577e+02 7.5806176872657772e+02 7.5036903738856222e+02 7.4212361963093394e+02 7.3342818158015450e+02 7.2447814022556815e+02 7.1556557972154565e+02 7.0716071292281651e+02 6.9987080520066309e+02 6.9463010823907803e+02 6.9274633718934729e+02 6.9611578001725297e+02 7.0750205726412423e+02 7.3109286120867807e+02 7.7351829109008713e+02 8.4593874624397858e+02 1.2932534483421562e+03 +2.2023952590480558e-03 1.2532148950996969e+05 3.5007764792136563e+05 7.3361427697686118e+05 1.2220425116486812e+06 1.6719779101453819e+06 1.8817821372739421e+06 1.7861738671209761e+06 1.5517564736761637e+06 1.3245282660171979e+06 1.1296012863509851e+06 9.5232515622357547e+05 7.9173820802640845e+05 6.5056608889588504e+05 5.2890662196992990e+05 4.2543417390220775e+05 3.3894463508182764e+05 2.6780301925105398e+05 2.0988283463514608e+05 1.6312761605344812e+05 1.2571245119689300e+05 9.6048428625677756e+04 7.2822148470584449e+04 5.5327534474230335e+04 4.3006376826806569e+04 3.2852059183999976e+04 2.3571361900328735e+04 1.6388987859815119e+04 1.1359495974439053e+04 7.9490692093900016e+03 5.6797165517970552e+03 4.1960657077487022e+03 3.2428345877479001e+03 2.6405410707052720e+03 2.2656323684969516e+03 2.0348731940990899e+03 1.8934067321016926e+03 1.8058676253692938e+03 1.7499458295788065e+03 1.7118570952114299e+03 1.6832465738981809e+03 1.6574286386763852e+03 1.6332582699053344e+03 1.6087458930312287e+03 1.5828100405560526e+03 1.5548974379674717e+03 1.5247781617326725e+03 1.4924385453443469e+03 1.4580248039677765e+03 1.4218111520012856e+03 1.3841671117406463e+03 1.3455314557016131e+03 1.3064073479002602e+03 1.2673376394793804e+03 1.2288089554654541e+03 1.1912607111179389e+03 1.1550984700931742e+03 1.1206359831126128e+03 1.0881193909748442e+03 1.0577094280717638e+03 1.0295255973953128e+03 1.0036000366151303e+03 9.7995242551367812e+02 9.5852956290592374e+02 9.3929917680379890e+02 9.2216683313667943e+02 9.0703364859739418e+02 8.9381336751899107e+02 8.8238788702389581e+02 8.7261913816100571e+02 8.6440538347613494e+02 8.5760003445453356e+02 8.5207786194341031e+02 8.4768544857742324e+02 8.4427229996053325e+02 8.4162764084726041e+02 8.3954678620911170e+02 8.3786107195286058e+02 8.3641708206768749e+02 8.3507589247267526e+02 8.3413385205788757e+02 8.3318486411152219e+02 8.3221751412421349e+02 8.3120466339578616e+02 8.3015990895076482e+02 8.2905462204891319e+02 8.2791861474010614e+02 8.2666124573536797e+02 8.2531556280377913e+02 8.2385679562185396e+02 8.2226560165659373e+02 8.2051847666474089e+02 8.1858894213838482e+02 8.1644042911675137e+02 8.1407029378407924e+02 8.1139891954845461e+02 8.0840378820975320e+02 8.0504143302552666e+02 8.0126507727008959e+02 7.9702648136127357e+02 7.9227725910819061e+02 7.8696531700962203e+02 7.8109116575630605e+02 7.7456144920091663e+02 7.6739458197638282e+02 7.5960714214020891e+02 7.5126021153762952e+02 7.4245772026424936e+02 7.3339749116061068e+02 7.2437520406731176e+02 7.1586686222388528e+02 7.0848720534651716e+02 7.0318198792384521e+02 7.0127502463922372e+02 7.0468595000451660e+02 7.1621240850159347e+02 7.4009364867302600e+02 7.8304139522434616e+02 8.5635344970154574e+02 1.3092349968114338e+03 +2.2159691456482646e-03 1.2518331767466002e+05 3.4970375470625039e+05 7.3285871726740059e+05 1.2209126491301141e+06 1.6708450657949306e+06 1.8813447455826418e+06 1.7868957360316527e+06 1.5535856178415604e+06 1.3272434146513056e+06 1.1330069880378712e+06 9.5621494937807042e+05 7.9590411958445760e+05 6.5482406489898916e+05 5.3310277013280441e+05 4.2944455638717575e+05 3.4268086223432032e+05 2.7121050196525769e+05 2.1293261888279882e+05 1.6581045795811422e+05 1.2803439451769849e+05 9.8027051533188976e+04 7.4484867408531340e+04 5.6721493710607392e+04 4.4201246471120670e+04 3.3857327774039200e+04 2.4361384154099484e+04 1.6983410969922777e+04 1.1797056148941165e+04 8.2661331967290735e+03 5.9067119663477188e+03 4.3574115490817230e+03 3.3574918752217864e+03 2.7227851668004641e+03 2.3258957805318942e+03 2.0805619797424874e+03 1.9296308005578087e+03 1.8360550198146443e+03 1.7763332341890921e+03 1.7358638546081838e+03 1.7057480964787251e+03 1.6788896460400808e+03 1.6540142323085106e+03 1.6289719143710267e+03 1.6025888087070891e+03 1.5742598512359780e+03 1.5437272019742129e+03 1.5109632487116564e+03 1.4761085333223741e+03 1.4394366369286845e+03 1.4013195055663325e+03 1.3622002039165252e+03 1.3225875237087876e+03 1.2830307172236967e+03 1.2440222587893054e+03 1.2060068977857986e+03 1.1693951433057871e+03 1.1345045665783884e+03 1.1015842944051719e+03 1.0707969882464765e+03 1.0422635619466639e+03 1.0160164718140940e+03 9.9207553947464976e+02 9.7038676358439716e+02 9.5091726574861127e+02 9.3357115548103286e+02 9.1824797928964540e+02 9.0486010274435728e+02 8.9328784058394672e+02 8.8339161968597750e+02 8.7506898554139207e+02 8.6817227165741554e+02 8.6257539981287994e+02 8.5812352647316720e+02 8.5466445161658248e+02 8.5198467974638697e+02 8.4987671389022228e+02 8.4816947674738049e+02 8.4670736788895044e+02 8.4534954118626968e+02 8.4439587443525772e+02 8.4343519675114385e+02 8.4245594057124811e+02 8.4143062745226234e+02 8.4037301929672753e+02 8.3925413392912139e+02 8.3810415180906614e+02 8.3683131381528392e+02 8.3546907541841995e+02 8.3399236152947242e+02 8.3238159166805667e+02 8.3061297243411286e+02 8.2865969955301716e+02 8.2648475379615593e+02 8.2408546069063163e+02 8.2138122154933342e+02 8.1834924226608541e+02 8.1494552132393619e+02 8.1112270653601468e+02 8.0683196485696487e+02 8.0202431480619305e+02 7.9664702164019968e+02 7.9070060412684882e+02 7.8409055509281734e+02 7.7683551680227049e+02 7.6895227124531323e+02 7.6050265174637900e+02 7.5159186701502028e+02 7.4242017361132775e+02 7.3328688867237781e+02 7.2467387315340511e+02 7.1720342735435042e+02 7.1183294198328406e+02 7.0990251771520002e+02 7.1335540618550465e+02 7.2502366995737884e+02 7.4919871109676137e+02 7.9267482533517057e+02 8.6688880859360006e+02 1.3254139842118923e+03 +2.2296266913449407e-03 1.2504512182615190e+05 3.4932995572503528e+05 7.3210313064827002e+05 1.2197809360244102e+06 1.6697036925723588e+06 1.8808861226253468e+06 1.7875827478867883e+06 1.5553705310132431e+06 1.3299092598355277e+06 1.1363617174649255e+06 9.6005546926580195e+05 8.0002535923338705e+05 6.5904403333666711e+05 5.3726880640999309e+05 4.3343320459415257e+05 3.4640354698140215e+05 2.7461195442563202e+05 2.1598289768201616e+05 1.6849916047727369e+05 1.3036634082767475e+05 1.0001861781030949e+05 7.6162378363381271e+04 5.8131373061058701e+04 4.5413123913090545e+04 3.4880072434484500e+04 2.5167889188338191e+04 1.7592433644333239e+04 1.2247017202721032e+04 8.5933717648698421e+03 6.1418005403998241e+03 4.5250168270946560e+03 3.4768704252683369e+03 2.8085142902053708e+03 2.3886882681451139e+03 2.1280664332645392e+03 1.9671554291820271e+03 1.8671822737895998e+03 1.8034149108156766e+03 1.7604017858654188e+03 1.7286746843443636e+03 1.7007037409865634e+03 1.6750788895210378e+03 1.6494789443626403e+03 1.6226306962022143e+03 1.5938730531350054e+03 1.5629177388068863e+03 1.5297217411965173e+03 1.4944191180776832e+03 1.4572823876817977e+03 1.4186857120849395e+03 1.3790763682297525e+03 1.3389687709665698e+03 1.2989186113500962e+03 1.2594242617046086e+03 1.2209358574650660e+03 1.1838689052905929e+03 1.1485448375802644e+03 1.1152157984794649e+03 1.0840463948156130e+03 1.0551589624352146e+03 1.0285862721428757e+03 1.0043482776589010e+03 9.8239015016517544e+02 9.6267837086793213e+02 9.4511553738273051e+02 9.2959956174433421e+02 9.1604137477717370e+02 9.0431967758224755e+02 8.9429340801290039e+02 8.8585946564639073e+02 8.7886919824388735e+02 8.7319576710298827e+02 8.6868295057956516e+02 8.6517684242583687e+02 8.6246117555321791e+02 8.6032556489159197e+02 8.5859644233816834e+02 8.5711595427877182e+02 8.5574127914013309e+02 8.5477584702039553e+02 8.5380334307621024e+02 8.5281204307991607e+02 8.5177412407983979e+02 8.5070351439717149e+02 8.4957087417191940e+02 8.4840675679802132e+02 8.4711827200359880e+02 8.4573928784319480e+02 8.4424442095963059e+02 8.4261385018820442e+02 8.4082348964983714e+02 8.3884620555944252e+02 8.3664452317895564e+02 8.3421573735018899e+02 8.3147825555199734e+02 8.2840900479395691e+02 8.2496344263639094e+02 8.2109363482044955e+02 8.1675014801301666e+02 8.1188339860646636e+02 8.0644000317626228e+02 8.0042048897669201e+02 7.9372918414225171e+02 7.8638496137191987e+02 7.7840480892858852e+02 7.6985132025837936e+02 7.6083099737831878e+02 7.5154655854172370e+02 7.4230099992475857e+02 7.3358210781589571e+02 7.2601982959520433e+02 7.2058332610173045e+02 7.1862917113040146e+02 7.2212450499341151e+02 7.3393620389845307e+02 7.5840842282765561e+02 8.0241897748430972e+02 8.7754525609176483e+02 1.3417928487136653e+03 +2.2433684117490233e-03 1.2490690295637085e+05 3.4895624924230494e+05 7.3134751265110157e+05 1.2186473994154909e+06 1.6685539356101605e+06 1.8804065288721512e+06 1.7882353043787198e+06 1.5571116400471465e+06 1.3325261889904838e+06 1.1396657505530121e+06 9.6384683871952607e+05 8.0410187109557807e+05 6.6322575847028964e+05 5.4140433275793702e+05 4.3739959084295179e+05 3.5011207234105509e+05 2.7800671280058112e+05 2.1903300087027773e+05 1.7119308276991136e+05 1.3270770743053025e+05 1.0202262378987689e+05 7.7854268996908009e+04 5.9556853595136563e+04 4.6641779473557486e+04 3.5920160325707126e+04 2.5990843880912071e+04 1.8216105016240792e+04 1.2709485573787744e+04 8.9309245230106953e+03 6.3851346226076012e+03 4.6990310945110914e+03 3.6011065768781646e+03 2.8978457912484901e+03 2.4541061639464538e+03 2.1774625205925672e+03 2.0060385148833964e+03 1.8992922907588681e+03 1.8312219822092043e+03 1.7854931739082681e+03 1.7520422512966736e+03 1.7228821309772854e+03 1.6964603588521497e+03 1.6702731210492370e+03 1.6429405927520095e+03 1.6137411487576314e+03 1.5823533781314300e+03 1.5487173009240541e+03 1.5129596095390759e+03 1.4753512874178964e+03 1.4362684802288418e+03 1.3961625831765223e+03 1.3555536219043238e+03 1.3150037598420854e+03 1.2750173139587482e+03 1.2360498567194325e+03 1.1985219441041133e+03 1.1627589101366636e+03 1.1290159474457771e+03 1.0974596261807533e+03 1.0682137148213078e+03 1.0413112935660072e+03 1.0167724370064764e+03 9.9454145908816361e+02 9.7458416293238179e+02 9.5680157342513019e+02 9.4108989747459634e+02 9.2735856969504141e+02 9.1548464459003537e+02 9.0532559072812319e+02 8.9677774399004295e+02 8.8969157313890264e+02 8.8393958117042973e+02 8.7936422525323701e+02 8.7580989485351301e+02 8.7305749704977245e+02 8.7089367633200152e+02 8.6914228919598054e+02 8.6764315394105404e+02 8.6625141574708778e+02 8.6527407812389561e+02 8.6428961074724361e+02 8.6328612884504366e+02 8.6223546006415063e+02 8.6115170064263839e+02 8.6000514874402484e+02 8.5882673527769202e+02 8.5752242540603834e+02 8.5612650468632603e+02 8.5461327797668821e+02 8.5296268069242001e+02 8.5115033114176106e+02 8.4914876227268201e+02 8.4692003857495877e+02 8.4446142422302489e+02 8.4169032102730966e+02 8.3858337415769790e+02 8.3509549408306896e+02 8.3117815784636468e+02 8.2678132498801654e+02 8.2185480291036663e+02 8.1634455204833955e+02 8.1025110859305380e+02 8.0347762222206950e+02 7.9604319890960596e+02 7.8796503554059279e+02 7.7930649433988503e+02 7.7017538537031442e+02 7.6077691661979463e+02 7.5141780515498078e+02 7.4259183042339475e+02 7.3493667355352352e+02 7.2943339980539906e+02 7.2745524369502994e+02 7.3099350649810890e+02 7.4295027464994610e+02 7.6772305700554978e+02 8.1227414064970287e+02 8.8832310826286221e+02 1.3583740585768758e+03 +2.2571948256492847e-03 1.2476865622827054e+05 3.4858263861716323e+05 7.3059188157587789e+05 1.2175120726420251e+06 1.6673959004237649e+06 1.8799062793656576e+06 1.7888538098632698e+06 1.5588093817633693e+06 1.3350945898108473e+06 1.1429193694372615e+06 9.6758919103502971e+05 8.0813361240249325e+05 6.6736901971352811e+05 5.4550896722703497e+05 4.4134320301348006e+05 3.5380583505275939e+05 2.8139412413624820e+05 2.2208226565998921e+05 1.7389158757553488e+05 1.3505791147764513e+05 1.0403856227753627e+05 7.9560120656397383e+04 6.0997607859897595e+04 4.7886972996571370e+04 3.6977446875578229e+04 2.6830203594987644e+04 1.8854464108691958e+04 1.3184559656584932e+04 9.2789253524434134e+03 6.6368630708755591e+03 4.8796023398288671e+03 3.7303365918515879e+03 2.9908979560381158e+03 2.5222473131644028e+03 2.2288279439971520e+03 2.0463396629217650e+03 1.9324295011941713e+03 1.8597868450169467e+03 1.8111613114721199e+03 1.7758674759431158e+03 1.7454365723942306e+03 1.7181671419208310e+03 1.6913608483125195e+03 1.6635235723279166e+03 1.6338683731132082e+03 1.6020378203762277e+03 1.5679532777702566e+03 1.5317331161259378e+03 1.4936462668698603e+03 1.4540706001315627e+03 1.4134615200550677e+03 1.3723446422542490e+03 1.3312886316592458e+03 1.2908037942046608e+03 1.2513511892384051e+03 1.2133564733333651e+03 1.1771489223045489e+03 1.1429868081469597e+03 1.1110386818908014e+03 1.0814297546635171e+03 1.0541934098947183e+03 1.0293498301909967e+03 1.0068424397708375e+03 9.8663632187539724e+02 9.6863086189214437e+02 9.5272048386823769e+02 9.3881305866268303e+02 9.2678395934961418e+02 9.1648921011647190e+02 9.0782467775332350e+02 9.0064007497713283e+02 8.9480736384858790e+02 8.9016774716379246e+02 8.8656391491173827e+02 8.8377389090377608e+02 8.8158125997835793e+02 8.7980721085418566e+02 8.7828915203265217e+02 8.7688013275165542e+02 8.7589074845009748e+02 8.7489417992580491e+02 8.7387837769937516e+02 8.7281481497846119e+02 8.7171775736708821e+02 8.7055713672631828e+02 8.6936426611399429e+02 8.6804395261194327e+02 8.6663090424359996e+02 8.6509911056142369e+02 8.6342826081411079e+02 8.6159367416144130e+02 8.5956754652515292e+02 8.5731147633974274e+02 8.5482269718097257e+02 8.5201759326705610e+02 8.4887252499732870e+02 8.4534184957631385e+02 8.4137644870689121e+02 8.3692566795543814e+02 8.3193869886312677e+02 8.2636083824233219e+02 8.2019263171761861e+02 8.1333603666169199e+02 8.0581039519675437e+02 7.9763311517437774e+02 7.8886833627940609e+02 7.7962519137459515e+02 7.7011140627057091e+02 7.6063746082569298e+02 7.5170319562635177e+02 7.4395411228369426e+02 7.3838331499877336e+02 7.3638088689276969e+02 7.3996256291622296e+02 7.5206603691981695e+02 7.7714277349960514e+02 8.2224048396677449e+02 8.9922255011304878e+02 1.3751601125223249e+03 +2.2711064550319164e-03 1.2463038234969341e+05 3.4820912050568400e+05 7.2983623134825041e+05 1.2163749874746611e+06 1.6662297487584767e+06 1.8793856250976087e+06 1.7894386551595975e+06 1.5604641895628267e+06 1.3376148505324803e+06 1.1461228629160633e+06 9.7128266790956398e+05 8.1212055307074660e+05 6.7147361139632715e+05 5.4958234389113507e+05 4.4526354450574412e+05 3.5748424564553471e+05 2.8477354655923712e+05 2.2513003695024404e+05 1.7659404160959041e+05 1.3741637040927235e+05 1.0606592300284203e+05 8.1279508797033501e+04 6.2453300246330677e+04 4.9148454141993578e+04 3.8051775964201588e+04 2.7685912228577676e+04 1.9507539756785784e+04 1.3672329627207977e+04 9.6375021736760300e+03 6.8971310004764373e+03 5.0668767492262714e+03 3.8646964532334769e+03 3.0877898531618762e+03 2.5932109704888089e+03 2.2822420836966185e+03 2.0881201636944288e+03 1.9666398636753072e+03 1.8891431852219739e+03 1.8374305209797187e+03 1.8001678246012425e+03 1.7683793911022087e+03 1.7402081413621943e+03 1.7127488085417631e+03 1.6843849023277394e+03 1.6542590975332505e+03 1.6219748648884329e+03 1.5874330963533882e+03 1.5507428053899457e+03 1.5121703057325726e+03 1.4720949040885923e+03 1.4309758876029268e+03 1.3893444317430062e+03 1.3477757270930326e+03 1.3067861102569502e+03 1.2668421760113667e+03 1.2283747321962833e+03 1.1917170362144877e+03 1.1571304699996565e+03 1.1247855825330819e+03 1.0948090369220674e+03 1.0672345124777869e+03 1.0420822851383734e+03 1.0192948538906952e+03 9.9883653572706021e+02 9.8060500317310084e+02 9.6449281182018524e+02 9.5040619447733843e+02 9.3821880592116440e+02 9.2778525665112750e+02 9.1900105279219986e+02 9.1171529205138654e+02 9.0579952984957276e+02 9.0109379247772802e+02 8.9743907846588047e+02 8.9461046739669973e+02 8.9238838764908689e+02 8.9059125915287950e+02 8.8905399134283857e+02 8.8762746940981208e+02 8.8662589627632815e+02 8.8561708847262798e+02 8.8458882732429925e+02 8.8351222641653919e+02 8.8240172210230901e+02 8.8122687558433381e+02 8.8001938674954442e+02 8.7868289100509924e+02 8.7725252383553186e+02 8.7570195596281098e+02 8.7401062772724083e+02 8.7215355580287883e+02 8.7010259531964789e+02 8.6781887336508191e+02 8.6529959303963938e+02 8.6246010896297184e+02 8.5927649386775363e+02 8.5570254551433914e+02 8.5168854362595630e+02 8.4718321294643533e+02 8.4213512227813715e+02 8.3648889731533518e+02 8.3024509367308997e+02 8.2330446248613225e+02 8.1568658492723557e+02 8.0740908217142157e+02 7.9853688003727416e+02 7.8918044895172284e+02 7.7955006064192298e+02 7.6995999966485033e+02 7.6091623579419911e+02 7.5307217781976942e+02 7.4743310347455326e+02 7.4540613241534845e+02 7.4903170609300571e+02 7.6128352307584771e+02 7.8666760575952617e+02 8.3231804281134748e+02 9.1024362037050184e+02 1.3921535401073736e+03 +2.2851038251002348e-03 1.2449208112674078e+05 3.4783569649465918e+05 7.2908057327876112e+05 1.2152361877658137e+06 1.6650555965167885e+06 1.8788448597837316e+06 1.7899902365622662e+06 1.5620764957485534e+06 1.3400873639480479e+06 1.1492765246851817e+06 9.7492741894865467e+05 8.1606267522785044e+05 6.7553934254453040e+05 5.5362411269700690e+05 4.4916013417069142e+05 3.6114672850110795e+05 2.8814434945992922e+05 2.2817566762541997e+05 1.7929981594457544e+05 1.3978250238635548e+05 1.0810419306349549e+05 8.3012003403895171e+04 6.3923587360802107e+04 5.0425962687333333e+04 3.9142980122748137e+04 2.8557902280677743e+04 2.0175350546143796e+04 1.4172877282232555e+04 1.0006776723176781e+04 7.1660795371464728e+03 5.2609984689904495e+03 4.0043216608518683e+03 3.1886411753361067e+03 2.6670976909794576e+03 2.3377859336596962e+03 2.1314429645712512e+03 2.0019708622482879e+03 1.9193259910606391e+03 1.8643261749473522e+03 1.8249615735176906e+03 1.7917235028504097e+03 1.7625926776623812e+03 1.7344439755737003e+03 1.7055300530145114e+03 1.6749178363409385e+03 1.6421684145101115e+03 1.6071602591342455e+03 1.5699919061292189e+03 1.5309264341019189e+03 1.4903442675494571e+03 1.4487084326889360e+03 1.4065556245778814e+03 1.3644675781100966e+03 1.3229666993291567e+03 1.2825251654793369e+03 1.2435789856239735e+03 1.2064654380965708e+03 1.1714490449321797e+03 1.1387023695955345e+03 1.1083535357204873e+03 1.0804365098315584e+03 1.0549716444832347e+03 1.0319004745848613e+03 1.0111864994327080e+03 9.9272559800447596e+02 9.7640836313180057e+02 9.6213930780079772e+02 9.4979032938592502e+02 9.3921466188380134e+02 9.3030757458418032e+02 9.2291771136142097e+02 9.1691637414207889e+02 9.1214250289653285e+02 9.0843541630247671e+02 9.0556718488278841e+02 9.0331497531806679e+02 9.0149432817011314e+02 8.9993755616861608e+02 8.9849330634479804e+02 8.9747940132456165e+02 8.9645821583017698e+02 8.9541735715401035e+02 8.9432757390859513e+02 8.9320347451533632e+02 8.9201424512316714e+02 8.9079197719119531e+02 8.8943912077099640e+02 8.8799124383861249e+02 8.8642169476749211e+02 8.8470966224554013e+02 8.8282985712873074e+02 8.8075378999682812e+02 8.7844211128538063e+02 8.7589199380987009e+02 8.7301775051095353e+02 8.6979516359433171e+02 8.6617746520754270e+02 8.6211432645911452e+02 8.5755384442550337e+02 8.5244395830471638e+02 8.4672861517267404e+02 8.4040838124821335e+02 8.3338278742633827e+02 8.2567165686978126e+02 8.1729282642436806e+02 8.0831201671335918e+02 7.9884105047351682e+02 7.8909277341601376e+02 7.7938531664798984e+02 7.7023084716732467e+02 7.6229076746768112e+02 7.5658266330523213e+02 7.5453087859842356e+02 7.5820083386528529e+02 7.7060262928893439e+02 7.9629744649528391e+02 8.4250670365238250e+02 9.2138619491991449e+02 1.4093569021057044e+03 +2.2991874642945094e-03 1.2435375092024011e+05 3.4746236458314845e+05 7.2832491322905268e+05 1.2140957004816639e+06 1.6638735514009886e+06 1.8782842004024754e+06 1.7905089662196063e+06 1.5636467278552230e+06 1.3425125226030385e+06 1.1523806535650336e+06 9.7852360300205788e+05 8.1995997294347140e+05 6.7956603660947469e+05 5.5763393926061667e+05 4.5303250622758677e+05 3.6479272190131480e+05 2.9150591366089653e+05 2.3121851883461906e+05 1.8200828637875960e+05 1.4215572671137410e+05 1.1015285736472844e+05 8.4757169412327392e+04 6.5408118399493847e+04 5.1719228838193281e+04 4.0250880745756585e+04 2.9446094933624405e+04 2.0857904767545660e+04 1.4686275891409479e+04 1.0386864340144784e+04 7.4438455756582252e+03 5.4621093691455835e+03 4.1493470245043763e+03 3.2935720763483373e+03 2.7440092152041398e+03 2.3955420316604805e+03 2.1763726367358140e+03 2.0384714999145817e+03 1.9503715632617095e+03 1.8918747147658335e+03 1.8502678302682341e+03 1.8154824334584741e+03 1.7853305060854198e+03 1.7564536278366352e+03 1.7269647072071441e+03 1.6958492536997353e+03 1.6626224803400833e+03 1.6271383496668307e+03 1.5894837105807806e+03 1.5499177339641071e+03 1.5088216101418197e+03 1.4666619410246558e+03 1.4239808899408144e+03 1.3813667486975569e+03 1.3393480282681271e+03 1.2984025336844215e+03 1.2589715243292085e+03 1.2213963382568036e+03 1.1859446672979270e+03 1.1527911052924724e+03 1.1220652440634283e+03 1.0938013272164339e+03 1.0680197649520710e+03 1.0446610855517445e+03 1.0236879135366249e+03 1.0049942455390585e+03 9.8846860766605209e+02 9.7401370303164822e+02 9.6149963006673465e+02 9.5077829070159567e+02 9.4174485836725160e+02 9.3424770668988197e+02 9.2815805821414244e+02 9.2331387046841553e+02 9.1955279790850739e+02 9.1664383288598231e+02 9.1436076582767896e+02 9.1251613675464068e+02 9.1093955477034046e+02 9.0947734800032356e+02 9.0845096721892673e+02 9.0741726549866348e+02 9.0636367086486723e+02 9.0526056143819767e+02 9.0412271894559103e+02 9.0291895005715412e+02 9.0168174259426974e+02 9.0031234750806789e+02 8.9884677032722652e+02 8.9725803356522511e+02 8.9552507152216253e+02 8.9362228591014855e+02 8.9152083900953653e+02 8.8918089930224460e+02 8.8659960957805231e+02 8.8369022894210764e+02 8.8042824627295818e+02 8.7676632194448791e+02 8.7265351183442078e+02 8.6803727852782094e+02 8.6286492476598460e+02 8.5707971151119716e+02 8.5068221626927243e+02 8.4357073562935466e+02 8.3576533772073287e+02 8.2728407739906834e+02 8.1819347874193181e+02 8.0860673150711125e+02 7.9873928338301118e+02 7.8891315376304362e+02 7.7964677479704687e+02 7.7160962890478811e+02 7.6583174405373131e+02 7.6375487566973356e+02 7.6746969524209260e+02 7.8002310046486457e+02 8.0603203211002358e+02 8.5280618757865409e+02 9.3264996878778800e+02 1.4267727908928057e+03 +2.3133579043119134e-03 1.2421538919108834e+05 3.4708912928816181e+05 7.2756925929486193e+05 1.2129535698846595e+06 1.6626837468149383e+06 1.8777039577107523e+06 1.7909952050056555e+06 1.5651753105418859e+06 1.3448907174714000e+06 1.1554355528747274e+06 9.8207138829950895e+05 8.2381245195788867e+05 6.8355353118927358e+05 5.6161150462367455e+05 4.5688021016220009e+05 3.6842167806026351e+05 2.9485763156808174e+05 2.3425796026076053e+05 1.8471883379170412e+05 1.4453546423838503e+05 1.1221139905102908e+05 8.6514567126401816e+04 6.6906535525993357e+04 5.3027973547068963e+04 4.1375288316149374e+04 3.0350400151018690e+04 2.1555200387711109e+04 1.5212590064567048e+04 1.0777873763750520e+04 7.7305615444476553e+03 5.6703488087839351e+03 4.2999064552627615e+03 3.4027030037164918e+03 2.8240483488562909e+03 2.4555943836511888e+03 2.2229753369737837e+03 2.0761922881124005e+03 1.9823175224527279e+03 1.9201036677328643e+03 1.8761065542557819e+03 1.8396703386691372e+03 1.8084318336303772e+03 1.7787853617075250e+03 1.7486947702057057e+03 1.7170581707167914e+03 1.6833411866454232e+03 1.6473710359525080e+03 1.6092215767011319e+03 1.5691473407425544e+03 1.5275298967206672e+03 1.4848392378826056e+03 1.4416229324818914e+03 1.3984758351974933e+03 1.3559325937624631e+03 1.3144766843785674e+03 1.2745546648400427e+03 1.2365119710472118e+03 1.2006194937517485e+03 1.1670538723462623e+03 1.1359461735048740e+03 1.1073309061511864e+03 1.0812285166689871e+03 1.0575784800615152e+03 1.0363424827428473e+03 1.0174125412261150e+03 1.0006750002367563e+03 9.8603065381001511e+02 9.7334775723406165e+02 9.6247693290387258e+02 9.5331341842528957e+02 9.4570552565810760e+02 9.3952459514900693e+02 9.3460772109995048e+02 9.3079091384415210e+02 9.2784001375022115e+02 9.2552531013191947e+02 9.2365620955683539e+02 9.2205950033088197e+02 9.2057910358608297e+02 9.1954010244389519e+02 9.1849374600921976e+02 9.1742727737502332e+02 9.1631069846204207e+02 9.1515896544376562e+02 9.1394050106460281e+02 9.1268819435209684e+02 9.1130208334845395e+02 9.0981861622452698e+02 9.0821048613384528e+02 9.0645637026914437e+02 9.0453035788826401e+02 9.0240325923464923e+02 9.0003475553875421e+02 8.9742195990806078e+02 8.9447706539437456e+02 8.9117526480355525e+02 8.8746864060396570e+02 8.8330562685778045e+02 8.7863304485484957e+02 8.7339755406309405e+02 8.6754172184607557e+02 8.6106613775904054e+02 8.5386784996910762e+02 8.4596717457916918e+02 8.3738238678669484e+02 8.2818082273680386e+02 8.1847705385606980e+02 8.0848915769076723e+02 7.9854308346444020e+02 7.8916359619791058e+02 7.8102834399671428e+02 7.7517993071347519e+02 7.7307770972946525e+02 7.7683787430958785e+02 7.8954451388962889e+02 8.1587092579815055e+02 8.6321603241781895e+02 9.4403443658505967e+02 1.4444038308347669e+03 +2.3276156801265960e-03 1.2407699796692682e+05 3.4671598727685260e+05 7.2681361638653209e+05 1.2118098436553830e+06 1.6614862919792403e+06 1.8771043936514945e+06 1.7914493511812754e+06 1.5666626786004868e+06 1.3472223450427200e+06 1.1584415311965174e+06 9.8557095181213238e+05 8.2762012947639497e+05 6.8750167783597799e+05 5.6555650497091620e+05 4.6070281061509624e+05 3.7203306313809857e+05 2.9819890730693587e+05 2.3729337037076001e+05 1.8743084448477422e+05 1.4692113777290139e+05 1.1427929993204244e+05 8.8283752634817341e+04 6.8418474251146050e+04 5.4351908838912292e+04 4.2516002642531981e+04 3.1270716791140276e+04 2.2267225035835036e+04 1.5751875632634225e+04 1.1179906941302534e+04 8.0263551769363075e+03 5.8858534037344671e+03 4.4561327554885320e+03 3.5161545274062291e+03 2.9073188370602543e+03 2.5180283825396959e+03 2.2713187643736778e+03 2.1151852321036149e+03 2.0152028136248762e+03 1.9490416621656941e+03 1.9024985761274343e+03 1.8643020236149714e+03 1.8319073359858062e+03 1.8014471050214813e+03 1.7707263799283576e+03 1.7385495727381208e+03 1.7043287759632676e+03 1.6678620739325729e+03 1.6292089305364523e+03 1.5886184448969339e+03 1.5464721384501290e+03 1.5032431888268659e+03 1.4594844928160703e+03 1.4157974666256539e+03 1.3727229225469841e+03 1.3307500491337241e+03 1.2903307495128429e+03 1.2518145947866913e+03 1.2154757030938886e+03 1.1814927737279138e+03 1.1499983537605478e+03 1.1210272038725050e+03 1.0945997823873479e+03 1.0706544598492183e+03 1.0491519143232626e+03 1.0299820744901954e+03 1.0130289772093166e+03 9.9819139811757009e+02 9.8533570225897790e+02 9.7431129404448848e+02 9.6501365644672353e+02 9.5729127566189788e+02 9.5101583344276617e+02 9.4602369666775576e+02 9.4214925663658551e+02 9.3915512274084472e+02 9.3680794693648920e+02 9.3491385646534218e+02 9.3329669031065009e+02 9.3179786641875830e+02 9.3074609969331777e+02 9.2968695029292360e+02 9.2860747023202998e+02 9.2747727931943984e+02 9.2631150921748304e+02 9.2507819426559638e+02 9.2381062959483370e+02 9.2240762648498651e+02 9.2090608086052168e+02 9.1927835303801498e+02 9.1750286039926812e+02 9.1555337645315876e+02 9.1340035569507677e+02 9.1100298682156790e+02 9.0835835368415917e+02 9.0537757101565580e+02 9.0203553287182308e+02 8.9828373772417888e+02 8.9406999126564961e+02 8.8934046673953299e+02 8.8404117355375161e+02 8.7811397802520901e+02 8.7155948259721492e+02 8.6427347286179156e+02 8.5627651594207271e+02 8.4758710969055096e+02 8.3827341088335947e+02 8.2845138717546990e+02 8.1834177368135545e+02 8.0827449073539276e+02 7.9878070361778509e+02 7.9054631125235699e+02 7.8462662629514023e+02 7.8249878538900293e+02 7.8630477277695638e+02 7.9916626148986688e+02 8.2581349921394258e+02 8.7373557334025531e+02 9.5553887130068836e+02 1.4622526786833191e+03 +2.3419613300098793e-03 1.2393857233270897e+05 3.4634293459692545e+05 7.2605798836019204e+05 1.2106645289396299e+06 1.6602813065602533e+06 1.8764857756374846e+06 1.7918717803928026e+06 1.5681092509299223e+06 1.3495078026641009e+06 1.1613989006855041e+06 9.8902247789554705e+05 8.3138303403305414e+05 6.9141034188617056e+05 5.6946865135629429e+05 4.6449988727429521e+05 3.7562635724271648e+05 3.0152915685350675e+05 2.4032413665250313e+05 1.9014371050846623e+05 1.4931217246029331e+05 1.1635604089999800e+05 9.0064278223759626e+04 6.9943563813885470e+04 5.5690738143633025e+04 4.3672813107853995e+04 3.2206932735009850e+04 2.2993956006111533e+04 1.6304179543063943e+04 1.1593058847521141e+04 8.3313492898841178e+03 6.1087567971345024e+03 4.6181574080070004e+03 3.6340471650667450e+03 2.9939252336399763e+03 2.5829307214775308e+03 2.3214721119397454e+03 2.1555038121781972e+03 2.0490677074772498e+03 1.9787184404995419e+03 1.9294656160593086e+03 1.8893929617768304e+03 1.8557681743606706e+03 1.8244471306976409e+03 1.7930659172657872e+03 1.7603286168346337e+03 1.7255896143636855e+03 1.6886153111095382e+03 1.6494492686658418e+03 1.6083342935756912e+03 1.5656513939181382e+03 1.5218767004657018e+03 1.4775683480116129e+03 1.4333343049970060e+03 1.3897215715873756e+03 1.3472250874138147e+03 1.3063021465171769e+03 1.2673064916588214e+03 1.2305154960659211e+03 1.1961099323534359e+03 1.1642238322745172e+03 1.1348921927119472e+03 1.1081354566210955e+03 1.0838908339031850e+03 1.0621179163785280e+03 1.0427044261967826e+03 1.0255319528044658e+03 1.0104971329561155e+03 9.9746439118527053e+02 9.8628198551007063e+02 9.7684584891575309e+02 9.6900490864724384e+02 9.6263143946408525e+02 9.5756123564537040e+02 9.5362710008032934e+02 9.5058832649246790e+02 9.4820778067106221e+02 9.4628815033071874e+02 9.4465018408354081e+02 9.4313269154482339e+02 9.4206801351394654e+02 9.4099593334153519e+02 9.3990330529886080e+02 9.3875936094755150e+02 9.3757940836644468e+02 9.3633108898420846e+02 9.3504810898815958e+02 9.3362803900439428e+02 9.3210822784434652e+02 9.3046069953845335e+02 9.2866360897091204e+02 9.2669041064016994e+02 9.2451119961169979e+02 9.2208466678233356e+02 9.1940786728141018e+02 9.1639082520525949e+02 9.1300813327296271e+02 9.0921069990744979e+02 9.0494569594014979e+02 9.0015863986671843e+02 8.9479488430788820e+02 8.8879558712072742e+02 8.8216136457059247e+02 8.7478672549991143e+02 8.6669249112652290e+02 8.5789738425872201e+02 8.4847039079399758e+02 8.3852888906197722e+02 8.2829629922712707e+02 8.1810655366237154e+02 8.0849728484311186e+02 8.0016272682702845e+02 7.9417103296725520e+02 7.9201730696026584e+02 7.9586959108208316e+02 8.0888753063155332e+02 8.3585891262905602e+02 8.8436392186479236e+02 9.6716230133695217e+02 1.4803220239747163e+03 +2.3563953955505800e-03 1.2380011336714991e+05 3.4596997675478226e+05 7.2530238344014343e+05 1.2095176559900902e+06 1.6590689197679656e+06 1.8758483149381159e+06 1.7922628646681791e+06 1.5695154519062883e+06 1.3517474859518791e+06 1.1643079766821174e+06 9.9242615774693526e+05 8.3510120523016329e+05 6.9527940212308208e+05 5.7334766947281710e+05 4.6827103477107995e+05 3.7920105442333501e+05 3.0484780815107777e+05 2.4334965583786383e+05 1.9285682997577920e+05 1.5170799616449833e+05 1.1844110233986033e+05 9.1855692785642939e+04 7.1481427563788326e+04 5.7044156634195380e+04 4.4845498929118236e+04 3.3158925028946273e+04 2.3735360275511586e+04 1.6869539769753283e+04 1.2017417315541548e+04 8.6456615695034543e+03 6.3391894334503277e+03 4.7861103650452269e+03 3.7565012041762320e+03 3.0839727656414561e+03 2.6503893018047597e+03 2.3735060131146529e+03 2.1972029605689395e+03 2.0839537985751190e+03 2.0091648701996655e+03 1.9570303007378786e+03 1.9149593133592571e+03 1.8800260121973376e+03 1.8477940704519408e+03 1.8157200165801858e+03 1.7824006394969010e+03 1.7471281968681835e+03 1.7096346902759472e+03 1.6699461607525420e+03 1.6282981923237132e+03 1.5850707702749687e+03 1.5407427211996733e+03 1.4958773120873666e+03 1.4510890456230532e+03 1.4069311282389679e+03 1.3639042866255800e+03 1.3224712497913813e+03 1.2829899675779207e+03 1.2457410951184074e+03 1.2109074907224108e+03 1.1786246737108804e+03 1.1489278594098980e+03 1.1218374446985435e+03 1.0972894171327289e+03 1.0752421959280477e+03 1.0555811658883536e+03 1.0381853150712197e+03 1.0229490085630528e+03 1.0097346766684146e+03 9.9838951375881572e+02 9.8881013345217900e+02 9.8084620462558814e+02 9.7437087848247313e+02 9.6921955214423531e+02 9.6522347685253555e+02 9.6213853970428272e+02 9.5972365765584266e+02 9.5777790288455662e+02 9.5611877875758944e+02 9.5458237155200038e+02 9.5350463611753639e+02 9.5241948804779724e+02 9.5131357662021469e+02 9.5015573877816394e+02 9.4896145980756751e+02 9.4769798370759622e+02 9.4639943272461414e+02 9.4496212291588915e+02 9.4342386112916699e+02 9.4175633169468108e+02 9.3993742434567275e+02 9.3794027133790678e+02 9.3573460466278789e+02 9.3327861218776241e+02 9.3056932095830655e+02 9.2751565208773059e+02 9.2409189446382902e+02 9.2024836047879523e+02 9.1593157967436662e+02 9.1108640916531454e+02 9.0565753813134540e+02 8.9958540861021129e+02 8.9287065172525502e+02 8.8540648538497464e+02 8.7721398801580369e+02 8.6831210965387322e+02 8.5877067372442286e+02 8.4870848352038206e+02 8.3835167145849675e+02 8.2803822242675756e+02 8.1831230243794505e+02 8.0987656397385570e+02 8.0381213166864302e+02 8.0163225811961820e+02 8.0553130795544280e+02 8.1870728334260127e+02 8.4600609346813872e+02 8.9509994314771711e+02 9.7890348567514729e+02 1.4986145894341680e+03 +2.3709184216754559e-03 1.2366161895289959e+05 3.4559711158784293e+05 7.2454680240662245e+05 1.2083692768687499e+06 1.6578492268768982e+06 1.8751923001405329e+06 1.7926230068802757e+06 1.5708817021658313e+06 1.3539417937614887e+06 1.1671690790007117e+06 9.9578218984419736e+05 8.3877469337718608e+05 6.9910875024921086e+05 5.7719329950050404e+05 4.7201586257386528e+05 3.8275666265975137e+05 3.0815430122200691e+05 2.4636933411005812e+05 1.9556960736084345e+05 1.5410803983441473e+05 1.2053396453151589e+05 9.3657542224329445e+04 7.3031683343059762e+04 5.8411851569966981e+04 4.6033829427064295e+04 3.4126560040922304e+04 2.4491394537089371e+04 1.7447985237349985e+04 1.2453062879631661e+04 8.9694043655369151e+03 6.5772783365095238e+03 4.9601198374072901e+03 3.8836365215484084e+03 3.1775671933836334e+03 2.7204931357907421e+03 2.4274924832437146e+03 2.2403390340469773e+03 2.1199040001493272e+03 2.0404129523830723e+03 1.9852161789436104e+03 1.9410179429666559e+03 1.9046930316412740e+03 1.8714969285458776e+03 1.8386955763757201e+03 1.8047711644713161e+03 1.7689491530228952e+03 1.7309242533714571e+03 1.6907032521468832e+03 1.6485135068384602e+03 1.6047334244032929e+03 1.5598442419901737e+03 1.5144142365011915e+03 1.4690644174022584e+03 1.4243542103933021e+03 1.3807901621470230e+03 1.3388404789609658e+03 1.2988673519972317e+03 1.2611547441167115e+03 1.2258876105122347e+03 1.1932029593986774e+03 1.1631362043439906e+03 1.1357076617052287e+03 1.1108520288941795e+03 1.0885264568302755e+03 1.0686138487740434e+03 1.0509904215237536e+03 1.0355481221477655e+03 1.0221473292538918e+03 1.0106342686897727e+03 1.0009064940462258e+03 9.9281475386251498e+02 9.8623339417249372e+02 9.8099761327743158e+02 9.7693715433432055e+02 9.7380439996675591e+02 9.7135414036242480e+02 9.6938163872431517e+02 9.6770098306641330e+02 9.6614541043767701e+02 9.6505447127418074e+02 9.6395611911445076e+02 9.6283679035686885e+02 9.6166492070124400e+02 9.6045617327855405e+02 9.5917739012094660e+02 9.5786311459308570e+02 9.5640839425785487e+02 9.5485149916425280e+02 9.5316377056924705e+02 9.5132283043462769e+02 9.4930148558875464e+02 9.4706910134809721e+02 9.4458335736336505e+02 9.4184125335905230e+02 9.3875059509681887e+02 9.3528536524967944e+02 9.3139527427143321e+02 9.2702620407423740e+02 9.2212234384525664e+02 9.1662771275273928e+02 9.1048202972796810e+02 9.0368594190248041e+02 8.9613136207340324e+02 8.8783962902629480e+02 8.7882992226627505e+02 8.6917291103993784e+02 8.5898883771375756e+02 8.4850657379728182e+02 8.3806819662094847e+02 8.2822447132425270e+02 8.1968655085786531e+02 8.1354866008153112e+02 8.1134237995052581e+02 8.1528865834856174e+02 8.2862423388918728e+02 8.5625371312851632e+02 9.0594223145880119e+02 9.9076088705866630e+02 1.5171331313847738e+03 +2.3855309566697780e-03 1.2352308873745157e+05 3.4522433789833105e+05 7.2379125132329657e+05 1.2072194199679834e+06 1.6566223828764406e+06 1.8745179746564564e+06 1.7929525566236400e+06 1.5722084225707499e+06 1.3560911257996729e+06 1.1699825319904657e+06 9.9909078078878019e+05 8.4240355909052899e+05 7.0289829051013920e+05 5.8100529597870097e+05 4.7573399486322689e+05 3.8629270384179958e+05 3.1144808825825312e+05 2.4938258729605813e+05 1.9828145378582770e+05 1.5651173785952374e+05 1.2263410804281944e+05 9.5469369855068129e+04 7.4593943868793140e+04 5.9793502644246662e+04 4.7237564305401611e+04 3.5109693630147209e+04 2.5262005248150417e+04 1.8039535760083483e+04 1.2900068630076037e+04 9.3026844940227711e+03 6.8231468920892839e+03 5.1403120844615914e+03 4.0155724006503747e+03 3.2748146663740290e+03 2.7933322443435814e+03 2.4835048560156406e+03 2.2849697821196105e+03 2.1569625354720492e+03 2.0724958280054316e+03 2.0140477355970449e+03 1.9675864365191621e+03 1.9297819497367473e+03 1.8955650955237379e+03 1.8619997700794765e+03 1.8274459107945938e+03 1.7910572526256667e+03 1.7524881454607464e+03 1.7117242666004383e+03 1.6689836647841169e+03 1.6246425641116493e+03 1.5791842971378196e+03 1.5331820106245877e+03 1.4872631830986320e+03 1.4419934665971091e+03 1.3978852573183790e+03 1.3554122792248145e+03 1.3149409977000946e+03 1.2767587080095800e+03 1.2410524721071727e+03 1.2079607866891965e+03 1.1775192406815661e+03 1.1497480313250328e+03 1.1245804913934112e+03 1.1019723975102918e+03 1.0818040124632610e+03 1.0639485944017592e+03 1.0482955111117469e+03 1.0347030279459768e+03 1.0230165110706894e+03 1.0131347451174518e+03 1.0049099376490736e+03 9.9821798649055893e+02 9.9289411473532959e+02 9.8876660852852979e+02 9.8558424061076630e+02 9.8309747965632278e+02 9.8109756726216972e+02 9.7939498919304378e+02 9.7781999542533356e+02 9.7671570613719325e+02 9.7560401491168909e+02 9.7447113667783253e+02 9.7328509898814843e+02 9.7206174329096552e+02 9.7076750510182296e+02 9.6943735401094966e+02 9.6796505517679986e+02 9.6638934701545361e+02 9.6468122439350179e+02 9.6281803892380265e+02 9.6077226887033771e+02 9.5851290933512985e+02 9.5599712661794013e+02 9.5322189401714570e+02 9.5009388956718874e+02 9.4658678747189924e+02 9.4264969043355336e+02 9.3822782649168812e+02 9.3326471047030248e+02 9.2770368505661395e+02 9.2148373888094784e+02 9.1460553635131544e+02 9.0695967100939288e+02 8.9856774518227314e+02 8.8944917004889192e+02 8.7967546884190426e+02 8.6936833688093759e+02 8.5875941118003323e+02 8.4819490077579883e+02 8.3823223459967619e+02 8.2959114661979254e+02 8.2337908888006302e+02 8.2114614724290595e+02 8.2514010962991335e+02 8.3863682457573918e+02 8.6660016198002768e+02 9.1688908373025890e+02 1.0027326430600044e+03 1.5358804401618581e+03 +2.4002335521980298e-03 1.2338452110687336e+05 3.4485165431768401e+05 7.2303573709316144e+05 1.2060681072734927e+06 1.6553884424300641e+06 1.8738256024251250e+06 1.7932518901091954e+06 1.5734960327029901e+06 1.3581958793620400e+06 1.1727486642711344e+06 1.0023521442565247e+06 8.4598787291304523e+05 7.0664793967581575e+05 5.8478342766400904e+05 4.7942507037976920e+05 3.8980871373595588e+05 3.1472863369806745e+05 2.5238884104858252e+05 2.0099178729306968e+05 1.5891852841319150e+05 1.2474101411419985e+05 9.7290716799698421e+04 7.6167817113723635e+04 6.1188782335970005e+04 4.8456453938869905e+04 3.6108171329501231e+04 2.6047128693056646e+04 1.8644201994974308e+04 1.3358500080372949e+04 9.6456030489205168e+03 7.0769146355428738e+03 5.3268112054147969e+03 4.1524273471720617e+03 3.3758215754187136e+03 2.8689975498933532e+03 2.5416177149739074e+03 2.3311543108140941e+03 2.1951749257011006e+03 2.1054477815063556e+03 2.0435504041694808e+03 1.9946831172650066e+03 1.9553060342419506e+03 1.9200083618833396e+03 1.8856400569079724e+03 1.8504308009177157e+03 1.8134574115825735e+03 1.7743306188125991e+03 1.7330130090416894e+03 1.6897121576442935e+03 1.6448014493579471e+03 1.5987659650592509e+03 1.5521835622275269e+03 1.5056881395965711e+03 1.4598515761460640e+03 1.4151921434089625e+03 1.3721891212028427e+03 1.3312132805267022e+03 1.2925552724419488e+03 1.2564042740758771e+03 1.2229002682565508e+03 1.1920789934287529e+03 1.1639604845732522e+03 1.1384766279307030e+03 1.1155817084939215e+03 1.0951531734220246e+03 1.0770611155471177e+03 1.0611921457149901e+03 1.0474023500262415e+03 1.0355363589823401e+03 1.0254945143240006e+03 1.0171309075825687e+03 1.0103233878454258e+03 1.0049074544681570e+03 1.0007099959583147e+03 9.9747606145488805e+02 9.9495158488715686e+02 9.9292355249497120e+02 9.9119864243739323e+02 9.8960396660802314e+02 9.8848618090636489e+02 9.8736101716213295e+02 9.8621445947518600e+02 9.8501412004460315e+02 9.8377601892309212e+02 9.8246618054812745e+02 9.8112000589860168e+02 9.7962996384298037e+02 9.7803526633238323e+02 9.7630655858828084e+02 9.7442091934905909e+02 9.7235049523821669e+02 9.7006390767110281e+02 9.6751780452580033e+02 9.6470913372763903e+02 9.6154343320924067e+02 9.5799406659428337e+02 9.5400952313092000e+02 9.4953437087074701e+02 9.4451144395781148e+02 9.3888340226063895e+02 9.3258849701214990e+02 9.2562741130809684e+02 9.1788940533833841e+02 9.0939634819019841e+02 9.0016788487878102e+02 8.9027640062638955e+02 8.7984505731873992e+02 8.6910828337228384e+02 8.5841645799897162e+02 8.4833373748678912e+02 8.3958851559633217e+02 8.3330159613987530e+02 8.3104174298345742e+02 8.3508383594075133e+02 8.4874319968460372e+02 8.7704352243497465e+02 9.2793847106041858e+02 1.0148165349244508e+03 1.5548593405317843e+03 +2.4150267633247348e-03 1.2324591332902256e+05 3.4447906323926261e+05 7.2228026661284966e+05 1.2049153902077088e+06 1.6541475652677563e+06 1.8731154142270098e+06 1.7935213891987528e+06 1.5747449506711618e+06 1.3602564514299235e+06 1.1754678067491422e+06 1.0055665004009076e+06 8.4952771505438525e+05 7.1035762710352009e+05 5.8852747732031182e+05 4.8308874225468299e+05 3.9330424194435368e+05 3.1799541428416671e+05 2.5538753101341016e+05 2.0370003310705442e+05 1.6132785378444733e+05 1.2685416503338401e+05 9.9121122375802137e+04 7.7752906686213988e+04 6.2597356264411072e+04 4.9690239669361268e+04 3.7121828540290880e+04 2.6846691060461897e+04 1.9261985409445071e+04 1.3828415046931710e+04 9.9982552231010141e+03 7.3386970449873115e+03 5.5197389324471187e+03 4.2943189033146773e+03 3.4806944012518998e+03 2.9475807646488124e+03 2.6019068201278433e+03 2.3789530420196470e+03 2.2345879740930454e+03 2.1393042418029472e+03 2.0737505773345451e+03 2.0223270608197031e+03 1.9812791190132186e+03 1.9448369316565386e+03 1.9096241928034215e+03 1.8737319690082081e+03 1.8361546978933270e+03 1.7964560370848249e+03 1.7545733684317358e+03 1.7107025426356533e+03 1.6652133934891917e+03 1.6185923690773498e+03 1.5714218579433928e+03 1.5243421181460669e+03 1.4779312491539649e+03 1.4327134195425358e+03 1.3891735007422440e+03 1.3476865990612862e+03 1.3085467433126523e+03 1.2719452325659372e+03 1.2380235313108813e+03 1.2068174984038626e+03 1.1783469583954318e+03 1.1525422609941302e+03 1.1293560697314706e+03 1.1086628231331404e+03 1.0903292208656892e+03 1.0742389211712023e+03 1.0602457600744563e+03 1.0481937732050999e+03 1.0379852240504351e+03 1.0294765632522908e+03 1.0225480374370776e+03 1.0170357043684884e+03 1.0127651234316555e+03 1.0094774973345965e+03 1.0069139917164021e+03 1.0048570804918422e+03 1.0031094085663594e+03 1.0014947842819331e+03 1.0003633561769833e+03 9.9922458832385757e+02 9.9806422378534819e+02 9.9684945187117876e+02 9.9559647131915051e+02 9.9427089092374581e+02 9.9290854826653378e+02 9.9140060208703267e+02 9.8978674303714752e+02 9.8803726351159025e+02 9.8612896690638786e+02 9.8403366520287977e+02 9.8171960273685886e+02 9.7914290397502259e+02 9.7630049268139396e+02 9.7309675434142878e+02 9.6950474005018509e+02 9.6547232003251156e+02 9.6094339637429005e+02 9.5586011637470688e+02 9.5016445088693524e+02 9.4379390678723200e+02 9.3674918741631438e+02 9.2891820558668508e+02 9.2032310040056848e+02 9.1098375281863059e+02 9.0097341787540972e+02 8.9041673731330332e+02 8.7955095625329966e+02 8.6873066161886698e+02 8.5852679930799343e+02 8.4967649958197421e+02 8.4331403981082337e+02 8.4102703089626812e+02 8.4511769060774839e+02 8.5894117743728157e+02 8.8758153997017871e+02 9.3908800805674309e+02 1.0270099540406618e+03 1.5740726921174385e+03 +2.4299111485354117e-03 1.2310726721326304e+05 3.4410656180990185e+05 7.2152484109968168e+05 1.2037612714211398e+06 1.6528998253086749e+06 1.8723876547206880e+06 1.7937613995779546e+06 1.5759555875993303e+06 1.3622732411448325e+06 1.1781402924391830e+06 1.0087340761510787e+06 8.5302317527303239e+05 7.1402729454509716e+05 5.9223724144777225e+05 4.8672467785644258e+05 3.9677885185715510e+05 3.2124791910594580e+05 2.5837810298704312e+05 2.0640562388152626e+05 1.6373916069787293e+05 1.2897304450101209e+05 1.0096012448011656e+05 7.9348812207358729e+04 6.4018883546045814e+04 5.0938654109717318e+04 3.8150490738190529e+04 2.7660608534539890e+04 1.9892878263147890e+04 1.4309863541424063e+04 1.0360730139039058e+04 7.6086053405310622e+03 5.7192144261788144e+03 4.4413634612741871e+03 3.5895395601007635e+03 3.0291742744709522e+03 2.6644490298212227e+03 2.4284276683837961e+03 2.2752497465510446e+03 2.1741017804998696e+03 2.1046756157336022e+03 2.0505381091097943e+03 2.0077156188772972e+03 1.9700614358026501e+03 1.9339602413881753e+03 1.8973557692981067e+03 1.8591543377526948e+03 1.8188688796177555e+03 1.7764093206983630e+03 1.7319584446537585e+03 1.6858817645158376e+03 1.6386666782080076e+03 1.5908999037241845e+03 1.5432279845693822e+03 1.4962352265898301e+03 1.4504517125904049e+03 1.4063679386773842e+03 1.3643633742690035e+03 1.3247354462714331e+03 1.2876775806540418e+03 1.2533327167319028e+03 1.2217368010890161e+03 1.1929093941581864e+03 1.1667792101878608e+03 1.1432971476882060e+03 1.1223344239505748e+03 1.1037540943520617e+03 1.0874366491202302e+03 1.0732335981484209e+03 1.0609885414979944e+03 1.0506060714974665e+03 1.0419455282573165e+03 1.0348900536875585e+03 1.0292765798383307e+03 1.0249294155489647e+03 1.0215857842822595e+03 1.0189818275414915e+03 1.0168952244547347e+03 1.0151243387406728e+03 1.0134894938555987e+03 1.0123442778739194e+03 1.0111917765508856e+03 1.0100174807815606e+03 1.0087881490990687e+03 1.0075201587679180e+03 1.0061786983803200e+03 1.0048000473877447e+03 1.0032740406283432e+03 1.0016408526090108e+03 9.9987041980157198e+02 9.9793926786496138e+02 9.9581887121401189e+02 9.9347709380959111e+02 9.9086953181097169e+02 9.8799308621804164e+02 9.8475097776016526e+02 9.8111594324025032e+02 9.7703522844249335e+02 9.7245206367923879e+02 9.6730790340840906e+02 9.6154402344491609e+02 9.5509717949378967e+02 9.4796809686848007e+02 9.4004332707505989e+02 9.3134528252151597e+02 9.2189408216243896e+02 9.1176385845028085e+02 9.0108074591268064e+02 8.9008483096673751e+02 8.7913494471169656e+02 8.6880888337223200e+02 8.5985258802894145e+02 8.5341392813521077e+02 8.5109952594358845e+02 8.5523917649871237e+02 8.6922821986246345e+02 8.9821159199618853e+02 9.5033491990038965e+02 1.0393098659177797e+03 1.5935233898263127e+03 +2.4448872697576574e-03 1.2296857868065640e+05 3.4373415126917441e+05 7.2076947085439961e+05 1.2026058083722761e+06 1.6516453543466995e+06 1.8716425748802244e+06 1.7939722841481369e+06 1.5771283511111096e+06 1.3642466465003097e+06 1.1807664572055417e+06 1.0118551037177256e+06 8.5647435272282653e+05 7.1765689566029317e+05 5.9591252999284258e+05 4.9033255865661398e+05 4.0023212059494708e+05 3.2448564963366772e+05 2.6136001306057040e+05 2.0910799993571013e+05 1.6615190062129372e+05 1.3109713798696359e+05 1.0280725996557878e+05 8.0955129686030908e+04 6.5453017153608853e+04 5.2201421453885239e+04 3.9193973690749968e+04 2.8488787399655270e+04 2.0536863603876933e+04 1.4802887675857819e+04 1.0733110689505789e+04 7.8867462899843249e+03 5.9253540739821638e+03 4.5936760763707080e+03 3.7024632464790589e+03 3.1138710185913387e+03 2.7293222179452036e+03 2.4796411037931975e+03 2.3172095483990338e+03 2.2098781072379616e+03 2.1363538547644985e+03 2.0793368831501130e+03 2.0346305438808586e+03 1.9956929453896453e+03 1.9586565848923358e+03 1.9213087845538550e+03 1.8824617217567227e+03 1.8415737458120468e+03 1.7985249317239113e+03 1.7534835582719775e+03 1.7068099863917273e+03 1.6589921079520875e+03 1.6106207452878780e+03 1.5623486394675083e+03 1.5147662802811290e+03 1.4684096770264932e+03 1.4237749805491601e+03 1.3812460490766225e+03 1.3411237261535312e+03 1.3036035675976227e+03 1.2688299781133042e+03 1.2368389553902018e+03 1.2076497359870746e+03 1.1811892899794632e+03 1.1574065922118366e+03 1.1361694046210737e+03 1.1173368616488106e+03 1.1007860484559797e+03 1.0863660670735387e+03 1.0739202617075057e+03 1.0633560072953626e+03 1.0545361244491685e+03 1.0473472046352292e+03 1.0416274071170101e+03 1.0371998798312795e+03 1.0337977232370165e+03 1.0311517743974428e+03 1.0290346072235225e+03 1.0272400318759601e+03 1.0255846881855869e+03 1.0244255395981365e+03 1.0232591780796238e+03 1.0220708302056843e+03 1.0208268154615047e+03 1.0195436892267468e+03 1.0181862153358674e+03 1.0167911204234147e+03 1.0152469017571616e+03 1.0135942228255152e+03 1.0118026611871504e+03 1.0098484624416072e+03 1.0077027606210407e+03 1.0053330361120233e+03 1.0026943519851753e+03 9.9978358807797360e+02 9.9650278811065004e+02 9.9282437303801316e+02 9.8869495896233809e+02 9.8405709880667462e+02 9.7885154838737458e+02 9.7301888265764501e+02 9.6649509951327661e+02 9.5928094814700501e+02 9.5126160495637453e+02 9.4245975897827748e+02 9.3289576914531494e+02 9.2264465268305651e+02 9.1183404940565072e+02 9.0070691081230154e+02 8.8962634739918428e+02 8.7917706465941296e+02 8.7011388606028538e+02 8.6359838790635581e+02 8.6125636266728793e+02 8.6544541421087672e+02 8.7960140046869674e+02 9.0893065444814806e+02 9.6167600699126911e+02 1.0517127715299093e+03 1.6132143642872638e+03 +2.4599556923823635e-03 1.2282984857498661e+05 3.4336183193138643e+05 7.2001415399975004e+05 1.2014490209082738e+06 1.6503842490658499e+06 1.8708804091835129e+06 1.7941544077304150e+06 1.5782636508195025e+06 1.3661770676855836e+06 1.1833466420649369e+06 1.0149298198590340e+06 8.5988135553728067e+05 7.2124639549350052e+05 5.9955316608747863e+05 4.9391208009725041e+05 4.0366363894021692e+05 3.2770811973995354e+05 2.6433272775282484e+05 2.1180660947599099e+05 1.6856553006161368e+05 1.3322593307591960e+05 1.0466206501121285e+05 8.2571451890882221e+04 6.6899404276220768e+04 5.3478257793610472e+04 4.0252083684974481e+04 2.9331124158224218e+04 2.1193915277393175e+04 1.5307521580514014e+04 1.1115473388543034e+04 8.1732220214469498e+03 6.1382712916375440e+03 4.7513702802969237e+03 3.8195712736727091e+03 3.2017643654555354e+03 2.7966051866493153e+03 2.5326574294380712e+03 2.3605178973749080e+03 2.2466720620951951e+03 2.1688146092764232e+03 2.1087447945192521e+03 2.0620395128934065e+03 2.0217429844938720e+03 1.9837219350503838e+03 1.9455978345768465e+03 1.9060824111918519e+03 1.8645753595888355e+03 1.8209243604144269e+03 1.7752816497765250e+03 1.7280015403212572e+03 1.6795719210928601e+03 1.6305874685438719e+03 1.5817070183787603e+03 1.5335272128858783e+03 1.4865899947289320e+03 1.4413971962646738e+03 1.3983370878924245e+03 1.3577139463458675e+03 1.3197254580247136e+03 1.2845174807147375e+03 1.2521260222742203e+03 1.2225699289746829e+03 1.1957743072671719e+03 1.1716860331381447e+03 1.1501691554596880e+03 1.1310785831152346e+03 1.1142877354650057e+03 1.0996432187922567e+03 1.0869883236352821e+03 1.0762337125603215e+03 1.0672463443092113e+03 1.0599168761934427e+03 1.0540850882639675e+03 1.0495730693379799e+03 1.0461096411352594e+03 1.0434200291809632e+03 1.0412713610851317e+03 1.0394525942923153e+03 1.0377764672066694e+03 1.0366032422874189e+03 1.0354228969240303e+03 1.0342203801049830e+03 1.0329615635815317e+03 1.0316631801536296e+03 1.0302895643529944e+03 1.0288778953654958e+03 1.0273153193317683e+03 1.0256429938297110e+03 1.0238301346213627e+03 1.0218527050240995e+03 1.0196814959667386e+03 1.0172836012019108e+03 1.0146135460521400e+03 1.0116681910122963e+03 1.0083483906262055e+03 1.0046262486731993e+03 1.0004477465349350e+03 9.9575475434864450e+02 9.9048732371771609e+02 9.8458532313069952e+02 9.7798398624268179e+02 9.7068408822971992e+02 9.6256941673453150e+02 9.5366294078387170e+02 9.4398526118904863e+02 9.3361228702044389e+02 9.2267317539742089e+02 9.1141376575990353e+02 9.0020148179988814e+02 8.8962799518082215e+02 8.8045708019171366e+02 8.7386413044207097e+02 8.7149426125992795e+02 8.7573310797289514e+02 8.9005736958591081e+02 9.1973526597235298e+02 9.7310760706230883e+02 1.0642146658788074e+03 1.6331485822889731e+03 +2.4751169852850596e-03 1.2269107341277464e+05 3.4298960352416371e+05 7.1925889997923642e+05 1.2002909240619405e+06 1.6491166206030434e+06 1.8701013946640319e+06 1.7943081187316265e+06 1.5793618957464620e+06 1.3680649048452515e+06 1.1858811898418723e+06 1.0179584675922783e+06 8.6324430042088754e+05 7.2479577017233567e+05 6.0315898584904533e+05 4.9746295143680141e+05 4.0707301125442679e+05 3.3091485571816628e+05 2.6729572412639647e+05 2.1450090880507330e+05 1.7097951084859020e+05 1.3535891980380166e+05 1.0652407548581403e+05 8.4197368718520811e+04 6.8357686680179948e+04 5.4768871440326562e+04 4.1324617764850511e+04 3.0187505661373103e+04 2.1863997951000136e+04 1.5823791334729895e+04 1.1507888232983156e+04 8.4681298432972217e+03 6.3580763288049511e+03 4.9145578949574920e+03 3.9409689122390059e+03 3.2929479849634949e+03 2.8663775746810379e+03 2.5875418355445750e+03 2.4052264927797769e+03 2.2845236049267428e+03 2.2020881760664533e+03 2.1387840554628579e+03 2.0899587664202600e+03 2.0482235427595183e+03 2.0091653438839721e+03 1.9702299847362233e+03 1.9300221444008632e+03 1.8878785739358859e+03 1.8436118618140797e+03 1.7973565592278355e+03 1.7494599660729668e+03 1.7004094284743787e+03 1.6508032000091009e+03 1.6013060919224406e+03 1.5525208578223087e+03 1.5049953747468542e+03 1.4592371797131198e+03 1.4156389760716706e+03 1.3745084880898621e+03 1.3360455310344721e+03 1.3003974003147359e+03 1.2676000682907923e+03 1.2376719172287612e+03 1.2105360587468579e+03 1.1861370766417895e+03 1.1643350231601000e+03 1.1449802463871172e+03 1.1279422132402287e+03 1.1130649397209156e+03 1.1001918896007107e+03 1.0892375743134778e+03 1.0800738213655420e+03 1.0725960381571692e+03 1.0666460636544139e+03 1.0620450426408083e+03 1.0585173492654385e+03 1.0557822610803826e+03 1.0536010847499156e+03 1.0517575965270703e+03 1.0500603947209001e+03 1.0488729510252210e+03 1.0476785017202944e+03 1.0464617037251476e+03 1.0451879719176786e+03 1.0438742155079574e+03 1.0424843352019373e+03 1.0410559681506197e+03 1.0394748959661190e+03 1.0377827753822148e+03 1.0359484576120697e+03 1.0339476215692230e+03 1.0317507124937156e+03 1.0293244345722953e+03 1.0266227708747381e+03 1.0236425646172471e+03 1.0202834691002090e+03 1.0165172698606744e+03 1.0122893087480724e+03 1.0075407679692206e+03 1.0022109895963700e+03 9.9623913031278266e+02 9.8955965333045776e+02 9.8217336213245221e+02 9.7396264214763539e+02 9.6495074578823562e+02 9.5515851755595679e+02 9.4466276511660988e+02 9.3359417435445482e+02 9.2220149446090750e+02 9.1085649450752703e+02 9.0015786690025607e+02 8.9087840163336136e+02 8.8420741516398130e+02 8.8180949123583446e+02 8.8609850914463948e+02 9.0059231726733594e+02 9.3062148959301271e+02 9.8462555461899001e+02 1.0768109936373501e+03 1.6533290472273861e+03 +2.4903717208473908e-03 1.2255225262211431e+05 3.4261745707215805e+05 7.1850371219407558e+05 1.1991315767800559e+06 1.6478425774650429e+06 1.8693057509948229e+06 1.7944337694065154e+06 1.5804234923788551e+06 1.3699105537273136e+06 1.1883704441380017e+06 1.0209412971513239e+06 8.6656331253909657e+05 7.2830500672322034e+05 6.0672983819514513e+05 5.0098489556758490e+05 4.1045985538337089e+05 3.3410539628675807e+05 2.7024848989527981e+05 2.1719036251739503e+05 1.7339331040620778e+05 1.3749559098337739e+05 1.0839282730258779e+05 8.5832467557439959e+04 6.9827501069832739e+04 5.6072963251825997e+04 4.2411363978092930e+04 3.1057809251798299e+04 2.2547067150481049e+04 1.6351714910541459e+04 1.1910418574784491e+04 8.7715620718274240e+03 6.5848760787725496e+03 5.0833488473565621e+03 4.0667607269900482e+03 3.3875157174059659e+03 2.9387197615816026e+03 2.6443605587996090e+03 2.4513881807881139e+03 2.3234738015960870e+03 2.2362058340795124e+03 2.1694776875088637e+03 2.1184051785923989e+03 2.0751470875424584e+03 2.0349962143634093e+03 1.9952125545090503e+03 1.9542868432040564e+03 1.9114883754992886e+03 1.8665917902757869e+03 1.8197122025698416e+03 1.7711888633168408e+03 1.7215079897886358e+03 1.6712711071948113e+03 1.6211488659056520e+03 1.5717500791622924e+03 1.5236285530172229e+03 1.4772975483168887e+03 1.4331542193067326e+03 1.3915097496914484e+03 1.3525660792081153e+03 1.3164719219596616e+03 1.2832631639636684e+03 1.2529576417694943e+03 1.2254763280747350e+03 1.2007613012937729e+03 1.1786683052132923e+03 1.1590427583803350e+03 1.1417498603357938e+03 1.1266309350676502e+03 1.1135298736299585e+03 1.1023656591721533e+03 1.0930157985327817e+03 1.0853812078524854e+03 1.0793062718825206e+03 1.0746113210311014e+03 1.0710160987323627e+03 1.0682335660510635e+03 1.0660187973536288e+03 1.0641500271544605e+03 1.0624314521883514e+03 1.0612296488580989e+03 1.0600209795908554e+03 1.0587897934180219e+03 1.0575010387273414e+03 1.0561717997713909e+03 1.0547655389390311e+03 1.0533203568089277e+03 1.0517206572430214e+03 1.0500086011498763e+03 1.0481526725921810e+03 1.0461282640721161e+03 1.0439054726957918e+03 1.0414506103155625e+03 1.0387171134087248e+03 1.0357018102482784e+03 1.0323031409496866e+03 1.0284925720250633e+03 1.0242148012473042e+03 1.0194103180237452e+03 1.0140177498723651e+03 1.0079755366175184e+03 1.0012173650915627e+03 9.9374406964858485e+02 9.8543662026801871e+02 9.7631855617723431e+02 9.6641096728073467e+02 9.5579156621871550e+02 9.4459257848285699e+02 9.3306568362934331e+02 9.2158702647132145e+02 9.1076237208876307e+02 9.0137358705026622e+02 8.9462401065050165e+02 8.9219783259407791e+02 8.9653737718993114e+02 9.1120193362558734e+02 9.4158487172473042e+02 9.9622513757040008e+02 1.0894966017247191e+03 1.6737587995553881e+03 +2.5057204749787273e-03 1.2241338709308818e+05 3.4224540472128638e+05 7.1774859214088798e+05 1.1979709835579076e+06 1.6465622113392553e+06 1.8684937239200592e+06 1.7945317074345532e+06 1.5814488431654845e+06 1.3717144159524729e+06 1.1908147517253165e+06 1.0238785648023871e+06 8.6983852549136488e+05 7.3177410285857751e+05 6.1026558462983917e+05 5.0447764883409836e+05 4.1382380255489942e+05 3.3727929258871404e+05 2.7319052351457777e+05 2.1987444368109631e+05 1.7580640201176619e+05 1.3963544252007394e+05 1.1026785676811666e+05 8.7476333647955500e+04 7.1308479447658945e+04 5.7390226963160632e+04 4.3512101631417514e+04 3.1941902918277636e+04 2.3243069310399795e+04 1.6891302129174070e+04 1.2323121004271021e+04 9.0836058669348731e+03 6.8187738929210427e+03 5.2578509860153399e+03 4.1970504127979857e+03 3.4855614393889323e+03 3.0137127678492207e+03 2.7031808155758281e+03 2.4990569158799362e+03 2.3635648070288257e+03 2.2711998422373954e+03 2.2008495285061144e+03 2.1473962682153119e+03 2.1025265756103790e+03 2.0612243108593048e+03 2.0205531259745671e+03 1.9788826193531509e+03 1.9354098892520708e+03 1.8898686026792300e+03 1.8423525737566597e+03 1.7931918929546196e+03 1.7428710143478497e+03 1.6919943989788426e+03 1.6412383813938789e+03 1.5912177714779468e+03 1.5424922920195374e+03 1.4955809425269806e+03 1.4508853429575954e+03 1.4087201456731077e+03 1.3692894075310148e+03 1.3327432386016205e+03 1.2991173820510292e+03 1.2684290382480579e+03 1.2405968828102634e+03 1.2155602538425446e+03 1.1931702439259375e+03 1.1732669367311094e+03 1.1557109186162413e+03 1.1403407120534428e+03 1.1270009192141913e+03 1.1156156852302795e+03 1.1060690943003674e+03 1.0982684112872716e+03 1.0920611069165545e+03 1.0872668428028380e+03 1.0836005328917142e+03 1.0807684181978420e+03 1.0785188893292559e+03 1.0766242434677986e+03 1.0748839893846559e+03 1.0736676874812861e+03 1.0724446868709988e+03 1.0711990114306614e+03 1.0698951329040303e+03 1.0685503088510770e+03 1.0671275588761202e+03 1.0656654524988362e+03 1.0640470028246775e+03 1.0623148798966388e+03 1.0604371981921629e+03 1.0583890619290628e+03 1.0561402177929369e+03 1.0536565827082304e+03 1.0508910424162179e+03 1.0478404128720938e+03 1.0444019092237779e+03 1.0405466784949908e+03 1.0362187701214746e+03 1.0313579761695507e+03 1.0259022049038563e+03 1.0197891745638584e+03 1.0129517899633412e+03 1.0053909191541724e+03 9.9698610369288826e+02 9.8776117308613004e+02 9.7773746424073590e+02 9.6699360073966000e+02 9.5566335781536839e+02 9.4400136466577146e+02 9.3238817015426866e+02 9.2143666098183178e+02 9.1193783666135050e+02 9.0510915305089065e+02 9.0265453434202379e+02 9.0704493799353827e+02 9.2188136646983071e+02 9.5262039839422573e+02 1.0079010509173066e+03 1.1022656886550767e+03 1.6944409172409112e+03 +2.5211638271379049e-03 1.2227447210246288e+05 3.4187343627823278e+05 7.1699354343018157e+05 1.1968091797993656e+06 1.6452756284105580e+06 1.8676655428190287e+06 1.7946022810923322e+06 1.5824383462457932e+06 1.3734768919764550e+06 1.1932144628897354e+06 1.0267705310989962e+06 8.7307008094906248e+05 7.3520306676319428e+05 6.1376609897837695e+05 5.0794096085679485e+05 4.1716449727131875e+05 3.4043610818264750e+05 2.7612133425847610e+05 2.2255263400854307e+05 1.7821826504292458e+05 1.4177797371769909e+05 1.1214870092152581e+05 8.9128550436930294e+04 7.2800249473444070e+04 5.8720349520871809e+04 4.4626601553819877e+04 3.2839645461670822e+04 2.3951941837112081e+04 1.7442554630326260e+04 1.2746045244507324e+04 9.4043430762814805e+03 7.0598694003743140e+03 5.4381698992977190e+03 4.3319406296646866e+03 3.5871789270849345e+03 3.0914381513523344e+03 2.7640707310527350e+03 2.5482877184238332e+03 2.4048398450179761e+03 2.3071034347853256e+03 2.2329242380016303e+03 2.1769502088188260e+03 2.1303754642745316e+03 2.0878597693994616e+03 2.0462595522688639e+03 2.0038157810053153e+03 1.9596483831769995e+03 1.9134468616774182e+03 1.8652817468991173e+03 1.8154727784673391e+03 1.7645019618404485e+03 1.7129763259441131e+03 1.6615777147508691e+03 1.6109268596404861e+03 1.5615893803864531e+03 1.5140900252527949e+03 1.4688348913010332e+03 1.4261421058267752e+03 1.3862178322151690e+03 1.3492135496244123e+03 1.3151647956639363e+03 1.2840880344978325e+03 1.2558994711261792e+03 1.2305354446748022e+03 1.2078420200021462e+03 1.1876535006327638e+03 1.1698254802660974e+03 1.1541935619799713e+03 1.1406033755374885e+03 1.1289849920420058e+03 1.1192300666276853e+03 1.1112531417169205e+03 1.1049053724050952e+03 1.1000059144987649e+03 1.0962646366214312e+03 1.0933806179191265e+03 1.0910950699983243e+03 1.0891739188773024e+03 1.0874116717711527e+03 1.0861807346303415e+03 1.0849432965496792e+03 1.0836830373959135e+03 1.0823639415487521e+03 1.0810034377047887e+03 1.0795640982749831e+03 1.0780849672747258e+03 1.0764476542970442e+03 1.0746953434149398e+03 1.0727957772677760e+03 1.0707237700648204e+03 1.0684487159610023e+03 1.0659361345666237e+03 1.0631383569554396e+03 1.0600521897129142e+03 1.0565736114187573e+03 1.0526734494952341e+03 1.0482951011189980e+03 1.0433776568183418e+03 1.0378583012789907e+03 1.0316740267919513e+03 1.0247569508559061e+03 1.0171079783297781e+03 1.0086052096792002e+03 9.9927276818877385e+02 9.8913223923906992e+02 9.7826316286089968e+02 9.6680087337459565e+02 9.5500296738877591e+02 9.4325442383180950e+02 9.3217529662195864e+02 9.2256576954186664e+02 9.1565750171963703e+02 9.1317427025224765e+02 9.1761583941088975e+02 9.3262517612214140e+02 9.6372244855664326e+02 1.0196473473489087e+03 1.1151117505153552e+03 1.7153785162280878e+03 +2.5367023603551034e-03 1.2213550719061811e+05 3.4150155742446729e+05 7.1623857891593745e+05 1.1956462044380284e+06 1.6439829207544797e+06 1.8668214278789852e+06 1.7946458346165023e+06 1.5833924005516197e+06 1.3751983738957522e+06 1.1955699281306895e+06 1.0296174601773636e+06 8.7625812827922311e+05 7.3859191693065758e+05 6.1723126713097363e+05 5.1137459435872949e+05 4.2048159719678800e+05 3.4357541902635852e+05 2.7904044228805334e+05 2.2522442401249413e+05 1.8062838521239662e+05 1.4392268757280844e+05 1.1403489786679826e+05 9.0788699926965186e+04 7.4302434822226132e+04 6.0063011420421710e+04 4.5754626367373952e+04 3.3750886671551169e+04 2.4673613184549034e+04 1.8005465854039423e+04 1.3179234056932912e+04 9.7338500880419542e+03 7.3082583331844835e+03 5.6244087362392820e+03 4.4715328374709752e+03 3.6924617171211280e+03 3.1719779001665988e+03 2.8270992643088607e+03 2.5991366284329697e+03 2.4473431847689822e+03 2.3439508140940343e+03 2.2657273008428278e+03 2.2070858375996795e+03 2.1587077219554258e+03 2.1149131076173821e+03 2.0723399659256283e+03 2.0290928391929522e+03 1.9842092729988756e+03 1.9373312389808027e+03 1.8885038784338146e+03 1.8380353072482674e+03 1.7864043430799702e+03 1.7342201806953783e+03 1.6821699776301373e+03 1.6308802985720868e+03 1.5809226324497099e+03 1.5328274812225247e+03 1.4870054267093046e+03 1.4437780741786842e+03 1.4033536794214367e+03 1.3658850592379863e+03 1.3314074762336909e+03 1.2999365478946643e+03 1.2713858182861941e+03 1.2456883429540308e+03 1.2226847456864004e+03 1.2022030610355612e+03 1.1840934739169343e+03 1.1681885410940895e+03 1.1543352721320407e+03 1.1424705086143135e+03 1.1324945744740251e+03 1.1243303154701739e+03 1.1178332329755426e+03 1.1128221589437233e+03 1.1090016822548332e+03 1.1060632366550083e+03 1.1037403117513745e+03 1.1017919868624324e+03 1.1000074244107293e+03 1.0987617180400118e+03 1.0975097422824444e+03 1.0962348124073510e+03 1.0949004140922757e+03 1.0935241445479608e+03 1.0920681246281790e+03 1.0905718784420342e+03 1.0889155996147267e+03 1.0871429910558970e+03 1.0852214215273430e+03 1.0831254136658667e+03 1.0808240071921355e+03 1.0782823222307311e+03 1.0754521315071290e+03 1.0723302355326728e+03 1.0688113649379773e+03 1.0648660278210941e+03 1.0604369655346450e+03 1.0554625632828293e+03 1.0498792782433006e+03 1.0436233728155155e+03 1.0366261722592233e+03 1.0288886216628059e+03 1.0202873680848191e+03 1.0108468321171848e+03 1.0005888489470381e+03 9.8959388003908509e+02 9.7799882726676094e+02 9.6606427074499857e+02 9.5417964290580142e+02 9.4297220673922766e+02 9.3325137600591324e+02 9.2626309195857084e+02 9.2375109173063709e+02 9.2824410389706327e+02 9.4342728728054851e+02 9.7488474434801503e+02 1.0314573846177698e+03 1.1280275234084563e+03 1.7365747509061418e+03 +2.5523366612538556e-03 1.2199649285907121e+05 3.4112976211732632e+05 7.1548369511710200e+05 1.1944820630708474e+06 1.6426842020833364e+06 1.8659615959724525e+06 1.7946627032490438e+06 1.5843114034318591e+06 1.3768792551319790e+06 1.1978814986555590e+06 1.0324196198373075e+06 8.7940282412058313e+05 7.4194068193262047e+05 6.2066098680259555e+05 5.1477832496280363e+05 4.2377477303557610e+05 3.4669681345118192e+05 2.8194737870409468e+05 2.2788931315340821e+05 1.8303625479030513e+05 1.4606909105838207e+05 1.1592598709567540e+05 9.2456363020275196e+04 7.5814655539082130e+04 6.1417887045404124e+04 4.6895930764402430e+04 3.4675467513151620e+04 2.5408002942068393e+04 1.8580021035283236e+04 1.3622723158347215e+04 1.0072197692656220e+04 7.5640323574873664e+03 5.8166680301334791e+03 4.6159271308149373e+03 3.8015029654346463e+03 3.2554143220682145e+03 2.8923361295658983e+03 2.6516606555091430e+03 2.4911201141114584e+03 2.3817771408458266e+03 2.2992850289480293e+03 2.2378226632042197e+03 2.1875378380516477e+03 2.1423952343842138e+03 2.0988027871018517e+03 2.0547205142644311e+03 2.0090981269194176e+03 1.9615265186550130e+03 1.9120232093003854e+03 1.8608833319499931e+03 1.8085817207276125e+03 1.7557292981357407e+03 1.7030183169261368e+03 1.6510810729380155e+03 1.6004948877239033e+03 1.5517960162729935e+03 1.5053995287405864e+03 1.4616305078702408e+03 1.4206992838620934e+03 1.3827599747535692e+03 1.3478474913278876e+03 1.3159764825258130e+03 1.2870576228570635e+03 1.2610203714167362e+03 1.2376994574261307e+03 1.2169161101934803e+03 1.1985146498453992e+03 1.1823244501858303e+03 1.1681942918760751e+03 1.1560687193135861e+03 1.1458579368262076e+03 1.1374942249339335e+03 1.1308381624034453e+03 1.1257084599601415e+03 1.1218041720679857e+03 1.1188085580943095e+03 1.1164467906339385e+03 1.1144705813375253e+03 1.1126633723084378e+03 1.1114027658096691e+03 1.1101361588010386e+03 1.1088464794936488e+03 1.1074967028542214e+03 1.1061045914765043e+03 1.1046318103581757e+03 1.1031183693463063e+03 1.1014430339739779e+03 1.0996500307047791e+03 1.0977063526070151e+03 1.0955862293739710e+03 1.0932583446028373e+03 1.0906874170168560e+03 1.0878246575800054e+03 1.0846668644138961e+03 1.0811075090658910e+03 1.0771167810138065e+03 1.0726367626368260e+03 1.0676051304622797e+03 1.0619576106984014e+03 1.0556297323566566e+03 1.0485520239587966e+03 1.0407254745849000e+03 1.0320252659690386e+03 1.0224761195802149e+03 1.0121001215774440e+03 1.0009786592749023e+03 9.8925020958344362e+02 9.7717835034942232e+02 9.6515698809560649e+02 9.5382063255792605e+02 9.4398796693526776e+02 9.3691928472076881e+02 9.3437837765678319e+02 9.3892307811371631e+02 9.5428093779299218e+02 9.8610029815396820e+02 1.0433237695276766e+03 1.1410049222056737e+03 1.7580328145832282e+03 +2.5680673200731948e-03 1.2185742523252036e+05 3.4075805663631664e+05 7.1472890120065410e+05 1.1933168134772643e+06 1.6413795674394360e+06 1.8650862766759780e+06 1.7946532182230696e+06 1.5851957433942496e+06 1.3785199323114778e+06 1.2001495282046355e+06 1.0351772826966821e+06 8.8250433200037142e+05 7.4524940004152444e+05 6.2405516731265921e+05 5.1815194096965418e+05 4.2704370840861555e+05 3.4979989212691085e+05 2.8484168559398834e+05 2.3054680997323352e+05 1.8544137281698146e+05 1.4821669539763540e+05 1.1782150980199671e+05 9.4131119856331861e+04 7.7336528392678010e+04 6.2784645008706255e+04 4.8050261791150617e+04 3.5613220323974594e+04 2.6155021934375396e+04 1.9166197210774819e+04 1.4076541149223838e+04 1.0419450953890484e+04 7.8272789109844507e+03 6.0150455254381341e+03 4.7652220743207199e+03 3.9143953044783320e+03 3.3418299309603663e+03 2.9598517136778432e+03 2.7059177250397092e+03 2.5362169093909406e+03 2.4206185215227292e+03 2.3336245611394602e+03 2.2691808722453425e+03 2.2168808320890366e+03 2.1703174590574417e+03 2.1256567316257733e+03 2.0807057422764869e+03 2.0343206703550052e+03 1.9860376004332541e+03 1.9358440671158128e+03 1.8840207718045590e+03 1.8310377099937225e+03 1.7775070557109125e+03 1.7241259146797904e+03 1.6715321967907612e+03 1.6203090103210043e+03 1.5709983565669147e+03 1.5240197931486675e+03 1.4797018759318385e+03 1.4382569873095897e+03 1.3998405047259510e+03 1.3644869023004790e+03 1.3322097261473345e+03 1.3029165526659842e+03 1.2765329008206957e+03 1.2528871080410584e+03 1.2317930105098849e+03 1.2130885642075734e+03 1.1965998128729070e+03 1.1821777422467158e+03 1.1697756276122186e+03 1.1593148891359203e+03 1.1507384885647766e+03 1.1439128885114135e+03 1.1386569035821706e+03 1.1346637771219862e+03 1.1316080156778416e+03 1.1292058232037211e+03 1.1272009732608094e+03 1.1253707769833725e+03 1.1240951430091852e+03 1.1228138185888702e+03 1.1215093203627532e+03 1.1201440998552068e+03 1.1187360813609444e+03 1.1172464697974060e+03 1.1157157664325348e+03 1.1140212969722779e+03 1.1122078160336951e+03 1.1102419394438257e+03 1.1080976027737013e+03 1.1057431320618955e+03 1.1031428429882135e+03 1.1002473816481099e+03 1.0970535478700724e+03 1.0934535432816522e+03 1.0894172399110901e+03 1.0848860584655797e+03 1.0797969639402024e+03 1.0740849486108507e+03 1.0676848051140287e+03 1.0605262612074791e+03 1.0526103540926331e+03 1.0438107887163274e+03 1.0341525910225791e+03 1.0236580991386959e+03 1.0124096300033219e+03 1.0005472419608810e+03 9.8833752273864911e+02 9.7617887037100422e+02 9.6471307437232747e+02 9.5476811991794432e+02 9.4761871315921087e+02 9.4504878107639786e+02 9.4964537935359965e+02 9.6517862421142831e+02 9.9736135634657467e+02 1.0552382984141386e+03 1.1540349754497938e+03 1.7797559399651464e+03 +2.5838949306899390e-03 1.2171830382545157e+05 3.4038643028101174e+05 7.1397419477394235e+05 1.1921504410666532e+06 1.6400691047999731e+06 1.8641956797488967e+06 1.7946177203782019e+06 1.5860458184836400e+06 1.3801208024004295e+06 1.2023743735367479e+06 1.0378907270215598e+06 8.8556282234861085e+05 7.4851811883098225e+05 6.2741372934053454e+05 5.2149524314117717e+05 4.3028809972423129e+05 3.5288426800950390e+05 2.8772291606671311e+05 2.3319643221911512e+05 1.8784324530170410e+05 1.5036501632546028e+05 1.1972100918787706e+05 9.5812550143312576e+04 7.8867667224172226e+04 6.4162948494721633e+04 4.9217359136723040e+04 3.6563969019649805e+04 2.6914572332758173e+04 1.9763963238145119e+04 1.4540709453504578e+04 1.0775669089146406e+04 8.0980810471318573e+03 6.2196360083415930e+03 4.9195145388775163e+03 4.0312306990816082e+03 3.4313073304702584e+03 3.0297169900639296e+03 2.7619666207078230e+03 2.5826808020179978e+03 2.4605119931803174e+03 2.3687738609783441e+03 2.3011813344863472e+03 2.2467522620601217e+03 2.1986915002992655e+03 2.1529108188592686e+03 2.1070556813051562e+03 2.0598827906408237e+03 2.0108695030180447e+03 1.9599708683535393e+03 1.9074516139370721e+03 1.8537759793098255e+03 1.7995568736156881e+03 1.7454959879258795e+03 1.6922367131418023e+03 1.6403678882994673e+03 1.5904372477249995e+03 1.5428688307988139e+03 1.4979946579544330e+03 1.4560291369639233e+03 1.4171288569407227e+03 1.3813277617709909e+03 1.3486381469346763e+03 1.3189642404757446e+03 1.2922272440063748e+03 1.2682485583870596e+03 1.2468339826612732e+03 1.2278145622576233e+03 1.2110128525021564e+03 1.1962825247727280e+03 1.1835867175474070e+03 1.1728595370398239e+03 1.1640559977983105e+03 1.1570493346525327e+03 1.1516587156533521e+03 1.1475712723496883e+03 1.1444521262570195e+03 1.1420077994859869e+03 1.1399735033422039e+03 1.1381199691363927e+03 1.1368291843886198e+03 1.1355330646453003e+03 1.1342136882341122e+03 1.1328329697343295e+03 1.1314089908477208e+03 1.1299024922757910e+03 1.1283544724323760e+03 1.1266408058928312e+03 1.1248067799064174e+03 1.1228186317864056e+03 1.1206500020368280e+03 1.1182688579721657e+03 1.1156391108923206e+03 1.1127108392536570e+03 1.1094808491526308e+03 1.1058400617783666e+03 1.1017580334035622e+03 1.0971755208652255e+03 1.0920287753110749e+03 1.0862520526879705e+03 1.0797794068278815e+03 1.0725397612135214e+03 1.0645342057098192e+03 1.0556349575197271e+03 1.0458673506962323e+03 1.0352539761324322e+03 1.0238780834629794e+03 1.0118813176561399e+03 9.9953328617727595e+02 9.8723689248906226e+02 9.7564123377497299e+02 9.6558362207268840e+02 9.5835322587431995e+02 9.5575417260119320e+02 9.6040283866975926e+02 9.7611204398878579e+02 1.0086593395573918e+03 1.0671918939407317e+03 1.1671077562395369e+03 1.8017473996421886e+03 +2.5998200906411093e-03 1.2157912731303750e+05 3.4001489279557357e+05 7.1321959260621923e+05 1.1909830189431780e+06 1.6387529118187502e+06 1.8632900369473100e+06 1.7945565342388570e+06 1.5868620147112992e+06 1.3816822568175930e+06 1.2045563918883740e+06 1.0405602356948928e+06 8.8857847258314164e+05 7.5174689496082847e+05 6.3073660469056293e+05 5.2480804451094207e+05 4.3350765604781476e+05 3.5594956628037454e+05 2.9059063428091333e+05 2.3583770695604209e+05 1.9024138541384650e+05 1.5251357434060832e+05 1.2162403075944829e+05 9.7500233482665921e+04 8.0407683293970549e+04 6.5552455601776834e+04 5.0396955427051813e+04 3.7527529308433310e+04 2.7686547777559572e+04 2.0373279827098373e+04 1.5015242269871884e+04 1.1140905359550399e+04 8.3765172862995205e+03 6.4305311414508342e+03 5.0788995391739554e+03 4.1521003013482195e+03 3.5239290949909500e+03 3.1020034292100418e+03 2.8198669233833639e+03 2.6305599416655709e+03 2.5014955054076490e+03 2.4047617125072588e+03 2.3338456066238100e+03 2.2771682318982062e+03 2.2275294944047614e+03 2.1805743792961812e+03 2.1337777176595014e+03 2.0857905417254760e+03 2.0360273673787972e+03 1.9844081205088805e+03 1.9311799146589804e+03 1.8768002509717396e+03 1.8218822149484884e+03 1.7671317884954221e+03 1.7131976934783756e+03 1.6606744329413555e+03 1.6101154538741487e+03 1.5619492664913837e+03 1.5165113426587563e+03 1.4740180837149396e+03 1.4346272362698630e+03 1.3983721109233857e+03 1.3652635900058876e+03 1.3352022793667602e+03 1.3081046495806279e+03 1.2837845684675499e+03 1.2620390929735497e+03 1.2426917605198657e+03 1.2255614676102273e+03 1.2105051026039923e+03 1.1974969128340615e+03 1.1864853072580604e+03 1.1774388607305261e+03 1.1702385576595041e+03 1.1647041956366024e+03 1.1605164677107020e+03 1.1573304197275779e+03 1.1548421118873741e+03 1.1527775106748036e+03 1.1509002772490396e+03 1.1495942230169489e+03 1.1482832391869215e+03 1.1469489366267485e+03 1.1455526786147259e+03 1.1441126993120579e+03 1.1425892711716594e+03 1.1410238955083130e+03 1.1392909849579473e+03 1.1374363637370543e+03 1.1354258896866195e+03 1.1332329075486768e+03 1.1308250250462136e+03 1.1281657481016350e+03 1.1252045851405026e+03 1.1219383535759523e+03 1.1182566840228556e+03 1.1141288192509246e+03 1.1094948505850068e+03 1.1042903136130653e+03 1.0984487261682159e+03 1.0919034014695812e+03 1.0845824557938793e+03 1.0764870366423156e+03 1.0674878630983956e+03 1.0576105809826643e+03 1.0468780345452228e+03 1.0353744084030934e+03 1.0232429380100347e+03 1.0107562578952932e+03 9.9832178700283055e+02 9.8659595239207511e+02 9.7642540941634263e+02 9.6911382673238063e+02 9.6648558039614340e+02 9.7118644056757785e+02 9.8707203418685367e+02 1.0199847793353914e+03 1.0791745380908608e+03 1.1802123089486311e+03 1.8240105065797643e+03 +2.6158434011464907e-03 1.2143989427961966e+05 3.3964343519049272e+05 7.1246507621832669e+05 1.1898145407191121e+06 1.6374310870194945e+06 1.8623695503624887e+06 1.7944699806345745e+06 1.5876447091907859e+06 1.3832046877899917e+06 1.2066959407216462e+06 1.0431860945451653e+06 8.9155146675369551e+05 7.5493579412579024e+05 6.3402373604927980e+05 5.2809017021547421e+05 4.3670209896584094e+05 3.5899542426908703e+05 2.9344441546517040e+05 2.3847017066796031e+05 1.9263531366035360e+05 1.5466189494568019e+05 1.2353012261468367e+05 9.9193749687274103e+04 8.1956185623935831e+04 6.6952819684929913e+04 5.1588776523035689e+04 3.8503708913782990e+04 2.8470833511292076e+04 2.0994099582175411e+04 1.5500146534292902e+04 1.1515206969717523e+04 8.6626614742118363e+03 6.6478193028723254e+03 5.2434700729287561e+03 4.2770943049371490e+03 3.6197776484373057e+03 3.1767829059713904e+03 2.8796789464998051e+03 2.6799033561606061e+03 2.5436078994756331e+03 2.4416177138587714e+03 2.3671959345597702e+03 2.3081453979993057e+03 2.2568440030863503e+03 2.2086570619054633e+03 2.1608794719574648e+03 2.1120501487753945e+03 2.0615164600256962e+03 2.0091604242367819e+03 1.9552098007340353e+03 1.9001143017423590e+03 1.8444865858247435e+03 1.7890366027517532e+03 1.7344182372062510e+03 1.6812315779390428e+03 1.6300357566119706e+03 1.5812637376837106e+03 1.5352544263443831e+03 1.4922261802553503e+03 1.4523378423660804e+03 1.4156219766219874e+03 1.3820878737115906e+03 1.3516322178219768e+03 1.3241662951865046e+03 1.2994957879898875e+03 1.2774082399942865e+03 1.2577190278488345e+03 1.2402432058970405e+03 1.2248414661131467e+03 1.2115005335218034e+03 1.2001848955614273e+03 1.1908783424510309e+03 1.1834706820952701e+03 1.1777826465028579e+03 1.1734881352609252e+03 1.1702313645133631e+03 1.1676970798964378e+03 1.1656012571543897e+03 1.1636999519599344e+03 1.1623785146923012e+03 1.1610526081311234e+03 1.1597033439128222e+03 1.1582915187546521e+03 1.1568355136075081e+03 1.1552951287534206e+03 1.1537123742043213e+03 1.1519601903960802e+03 1.1500849426817140e+03 1.1480521088220703e+03 1.1458347373715912e+03 1.1434000759295445e+03 1.1407112244141761e+03 1.1377171192412184e+03 1.1344145947287941e+03 1.1306919812021515e+03 1.1265182108013448e+03 1.1218327083063386e+03 1.1165702926901479e+03 1.1106637425718372e+03 1.1040456294263975e+03 1.0966432600318392e+03 1.0884578449755775e+03 1.0793585954814671e+03 1.0693714728343014e+03 1.0585195749902746e+03 1.0468880229796280e+03 1.0346216451414364e+03 1.0219961076066386e+03 1.0094233505957263e+03 9.9756714699173688e+02 9.8728350263910420e+02 9.7989061113013020e+02 9.7723312660536783e+02 9.8198625912519196e+02 9.9804850654936365e+02 1.0313272510642530e+03 1.0911752011791732e+03 1.1933365715926641e+03 1.8465486146162625e+03 +2.6319654671313288e-03 1.2130060188760872e+05 3.3927205979351833e+05 7.1171066685751337e+05 1.1886450436965637e+06 1.6361037300463505e+06 1.8614344254151091e+06 1.7943583962789704e+06 1.5883942847044719e+06 1.3846884884956959e+06 1.2087933784339316e+06 1.0457685921160768e+06 8.9448199510400265e+05 7.5808489091598906e+05 6.3727507675305346e+05 5.3134145731784194e+05 4.3987116244320088e+05 3.6202149137732998e+05 2.9628384592896694e+05 2.4109336934754081e+05 1.9502455805339402e+05 1.5680950887755957e+05 1.2543883572102120e+05 1.0089267909238764e+05 8.3512781334771178e+04 6.8363689697677110e+04 5.2792541822599458e+04 3.9492307804472235e+04 2.9267306521854924e+04 2.1626367057448111e+04 1.5995421894032652e+04 1.1898614977472487e+04 8.9565826480724845e+03 6.8715854302204079e+03 5.4133169622674568e+03 4.4063017991090401e+03 3.7189351410413051e+03 3.2541276038326350e+03 2.9414636680128574e+03 2.7307609080540001e+03 2.5868888846420123e+03 2.4793722686525448e+03 2.4012552541494779e+03 2.3397009747453899e+03 2.2866480206663550e+03 2.2371688411213954e+03 2.1883688050522451e+03 2.1386680127424088e+03 2.0873421762324515e+03 2.0342324754703889e+03 1.9795454706072792e+03 1.9237219634136650e+03 1.8673735354343664e+03 1.8112137512619781e+03 1.7559014710183285e+03 1.7020422785105909e+03 1.6502009538790578e+03 1.6008148931087103e+03 1.5542264112252283e+03 1.5106557790726558e+03 1.4702628671953203e+03 1.4330793683272325e+03 1.3991127856776905e+03 1.3682555544918223e+03 1.3404132803498526e+03 1.3153827463379450e+03 1.2929411402591904e+03 1.2728949653588868e+03 1.2550552366370241e+03 1.2392870964611081e+03 1.2255912500778513e+03 1.2139502116836140e+03 1.2043648018840827e+03 1.1967348306764231e+03 1.1908823005424861e+03 1.1864739319979940e+03 1.1831422887051681e+03 1.1805598704137310e+03 1.1784318475013347e+03 1.1765060860454223e+03 1.1751691579755054e+03 1.1738282812030486e+03 1.1724640335187610e+03 1.1710366288366176e+03 1.1695645884486414e+03 1.1680072366752049e+03 1.1664070980476840e+03 1.1646356311608079e+03 1.1627397464882008e+03 1.1606845414830943e+03 1.1584427683863953e+03 1.1559813145083847e+03 1.1532628735446708e+03 1.1502358083738277e+03 1.1468969763998680e+03 1.1431333984106077e+03 1.1389136994640628e+03 1.1341766374329789e+03 1.1288563143488541e+03 1.1228847692604029e+03 1.1161938315170323e+03 1.1087099968035711e+03 1.1004345447605119e+03 1.0912351697255986e+03 1.0811381521749674e+03 1.0701668438586501e+03 1.0584073027101488e+03 1.0460059507445690e+03 1.0332414871702024e+03 1.0205303746078453e+03 1.0085437408297745e+03 9.9814693915865689e+02 9.9067269854985534e+02 9.8798596010178596e+02 9.9279139041168594e+02 1.0090303788131572e+03 1.0426753029745400e+03 1.1031817667596883e+03 1.2064672937083055e+03 1.8693651189666641e+03 +2.6481868972491672e-03 1.2116125014065416e+05 3.3890077122729761e+05 7.1095636385371140e+05 1.1874745537029677e+06 1.6347709149579771e+06 1.8604848680121636e+06 1.7942220890637015e+06 1.5891111263998924e+06 1.3861340503702324e+06 1.2108490657119979e+06 1.0483080202067615e+06 8.9737025391288789e+05 7.6119426847023598e+05 6.4049059056307981e+05 5.3456175460664625e+05 4.4301459267303668e+05 3.6502742898779013e+05 2.9910852306369576e+05 2.4370685857515610e+05 1.9740865426607055e+05 1.5895595232660291e+05 1.2734972418383602e+05 1.0259660285882188e+05 8.5077075979643123e+04 6.9784710532949990e+04 5.4007964565535789e+04 4.0493118431628107e+04 3.0075835695803115e+04 2.2270018821862865e+04 1.6501060692846047e+04 1.2291164213553928e+04 9.2583449104159281e+03 7.1019108697349557e+03 5.5885286975286926e+03 4.5398106228787892e+03 3.8214833244229835e+03 3.3341099163583881e+03 3.0052826590474438e+03 2.7831832479453142e+03 2.6313790115626362e+03 2.5180565751329686e+03 2.4360471902890126e+03 2.3718527389540950e+03 2.3169549806238824e+03 2.2661200235029692e+03 2.2162538237596527e+03 2.1656507148019114e+03 2.1135100432153595e+03 2.0596290674929664e+03 2.0041911955974306e+03 1.9476271233166165e+03 1.8905466560433274e+03 1.8336665884092831e+03 1.7776505481937622e+03 1.7231095104293852e+03 1.6706138587283444e+03 1.6206053912860093e+03 1.5734298036398884e+03 1.5293092302905607e+03 1.4884044923978099e+03 1.4507462748162291e+03 1.4163400786038633e+03 1.3850737326320411e+03 1.3568466188883356e+03 1.3314458419277425e+03 1.3086373132004778e+03 1.2882178851587432e+03 1.2699943214709667e+03 1.2538369270480632e+03 1.2397620348549483e+03 1.2277723210775607e+03 1.2178876250260482e+03 1.2100190507388315e+03 1.2039902409594206e+03 1.1994603183106997e+03 1.1960492967431933e+03 1.1934164135580415e+03 1.1912551447504507e+03 1.1893045298622508e+03 1.1879520096791400e+03 1.1865961274933934e+03 1.1852168895706882e+03 1.1837739097196729e+03 1.1822858422712679e+03 1.1807115319423847e+03 1.1790940236372892e+03 1.1773032851465748e+03 1.1753867758475035e+03 1.1733092130714444e+03 1.1710430529559769e+03 1.1685548227503589e+03 1.1658068101575234e+03 1.1627468034978078e+03 1.1593716900710033e+03 1.1555671724098345e+03 1.1513015727751354e+03 1.1465129825020879e+03 1.1411347871493977e+03 1.1350982866589793e+03 1.1283345686932826e+03 1.1207693170175248e+03 1.1124038868518794e+03 1.1031044474136734e+03 1.0928976021209553e+03 1.0818069563304889e+03 1.0699195043290761e+03 1.0573832608384364e+03 1.0444799562587864e+03 1.0316305716219426e+03 1.0195135910939171e+03 1.0090037013123191e+03 1.0014481612933952e+03 9.9873218540297137e+02 1.0035898810616992e+03 1.0200055021199900e+03 1.0540163811423174e+03 1.1151809522560443e+03 1.2195899495551287e+03 1.8924634567327751e+03 +2.6645083039048265e-03 1.2102183765324473e+05 3.3852955820808612e+05 7.1020217708190926e+05 1.1863030960625599e+06 1.6334327423578128e+06 1.8595210988308738e+06 1.7940613843779152e+06 1.5897956163696318e+06 1.3875417592463433e+06 1.2128633613146974e+06 1.0508046740036795e+06 9.0021644532217085e+05 7.6426401806113811e+05 6.4367025142012304e+05 5.3775092238229048e+05 4.4613214792108652e+05 3.6801291037702863e+05 3.0191805533343460e+05 2.4631020358575124e+05 1.9978714577700000e+05 1.6110076714609607e+05 1.2926234550517815e+05 1.0430510326897998e+05 8.6648673871714273e+04 7.1215523362181440e+04 5.5234752141297722e+04 4.1505925972441051e+04 3.0896281980867498e+04 2.2924983536230149e+04 1.7017047967356408e+04 1.2692883211431901e+04 9.5680073110902049e+03 7.3388732309618481e+03 5.7691912839683746e+03 4.6777072196265162e+03 3.9275034253168587e+03 3.4168023460470868e+03 3.0711980093998450e+03 2.8372217645846422e+03 2.6771196428414114e+03 2.5577026129832630e+03 2.4715960543475526e+03 2.4046190331978605e+03 2.3477787614189865e+03 2.2955212539581848e+03 2.2445428863633192e+03 2.1930050206966953e+03 2.1400257232549425e+03 2.0853550929672688e+03 2.0291513210442358e+03 1.9718337247864158e+03 1.9140095829292645e+03 1.8563985019271620e+03 1.7996686478060687e+03 1.7444362689475877e+03 1.6912772979950421e+03 1.6406378989129357e+03 1.5928671121317170e+03 1.5481888793624992e+03 1.5067648864906644e+03 1.4686246606780248e+03 1.4337714657824154e+03 1.4020881341983904e+03 1.3734672308600323e+03 1.3476853309404578e+03 1.3244960651634008e+03 1.3036857878532905e+03 1.2850567835314355e+03 1.2684853027659121e+03 1.2540051107882184e+03 1.2416413833988468e+03 1.2314351544472918e+03 1.2233102365896318e+03 1.2170923190857650e+03 1.2124324718940140e+03 1.2089371814419451e+03 1.2062513137914061e+03 1.2040556810374546e+03 1.2020798020903560e+03 1.2007115956519731e+03 1.1993406863360242e+03 1.1979464678659447e+03 1.1964879355129692e+03 1.1949838684198660e+03 1.1933926282191310e+03 1.1917577860677654e+03 1.1899478107466821e+03 1.1880107140934374e+03 1.1859108339603636e+03 1.1836203309483244e+03 1.1811053729143600e+03 1.1783278422882759e+03 1.1752349523579380e+03 1.1718236278233019e+03 1.1679782448208227e+03 1.1636668279046871e+03 1.1588268030502145e+03 1.1533908406772900e+03 1.1472895029830079e+03 1.1404531372746794e+03 1.1328066154161554e+03 1.1243513753401103e+03 1.1149520537833339e+03 1.1046355808862397e+03 1.0934258151084787e+03 1.0814106854120823e+03 1.0687397963280036e+03 1.0556979038966606e+03 1.0427104979572227e+03 1.0304634123176015e+03 1.0198406405601705e+03 1.0122039492489296e+03 1.0094587876511570e+03 1.0143686528847988e+03 1.0309605843884385e+03 1.0653367502988299e+03 1.1271582251850095e+03 1.2326886464998729e+03 1.9158471074189099e+03 +2.6809303032775240e-03 1.2088236165457359e+05 3.3815843019599630e+05 7.0944809404337464e+05 1.1851306779008142e+06 1.6320892822139568e+06 1.8585433092648489e+06 1.7938765964548890e+06 1.5904481228096597e+06 1.3889120028695061e+06 1.2148366239508055e+06 1.0532588520424508e+06 9.0302077713367564e+05 7.6729423880956613e+05 6.4681404317834508e+05 5.4090883223050635e+05 4.4922359836441843e+05 3.7097762061881518e+05 3.0471206225408008e+05 2.4890297932621985e+05 2.0215958400253666e+05 1.6324350105075812e+05 1.3117626083337751e+05 1.0601776401550436e+05 8.8227178407009895e+04 7.2655765972482754e+04 5.6472606398479576e+04 4.2530508579408364e+04 3.1728498557141640e+04 2.3591182040170712e+04 1.7543361454428701e+04 1.3103794147206130e+04 9.8856237375289311e+03 7.5825462472243371e+03 5.9553880916889038e+03 4.8200764925732174e+03 4.0370760181821688e+03 3.5022774008051301e+03 3.1392722499744091e+03 2.8929285318582342e+03 2.7241529206961313e+03 2.5983431277983827e+03 2.5079268398095624e+03 2.4380187679113678e+03 2.3791336915745942e+03 2.3253835215346894e+03 2.2732446078820531e+03 2.2207378849340589e+03 2.1668950167057055e+03 2.1114155459004592e+03 2.0544302673944762e+03 1.9963457675609247e+03 1.9377659942549699e+03 1.8794129123605258e+03 1.8219589738522363e+03 1.7660255676531690e+03 1.7121941108653284e+03 1.6609150891518568e+03 1.6125408453964483e+03 1.5672970646120609e+03 1.5253462018634932e+03 1.4867164626044116e+03 1.4514086163622255e+03 1.4193000735863836e+03 1.3902759340342072e+03 1.3641013153894787e+03 1.3405164725172244e+03 1.3192963387666475e+03 1.3002384748225222e+03 1.2832259369909448e+03 1.2683118972703301e+03 1.2555465876013461e+03 1.2449946149227528e+03 1.2365940476182054e+03 1.2301730670914287e+03 1.2253741969736063e+03 1.2217893312360291e+03 1.2190477562052079e+03 1.2168165635271532e+03 1.2148149956102513e+03 1.2134310167192602e+03 1.2120450733188097e+03 1.2106359019936456e+03 1.2091618598080495e+03 1.2076418414908562e+03 1.2060337222951207e+03 1.2043816055304635e+03 1.2025524535996240e+03 1.2005948341035139e+03 1.1984727065549657e+03 1.1961579369822609e+03 1.1936163349938945e+03 1.1908093789998914e+03 1.1876837073861336e+03 1.1842362904972917e+03 1.1803501705928304e+03 1.1759930804716744e+03 1.1711017828015256e+03 1.1656082351552930e+03 1.1594422643231287e+03 1.1525334795690169e+03 1.1448059417962613e+03 1.1362611794389848e+03 1.1267622903505628e+03 1.1163365352049907e+03 1.1050080247209855e+03 1.0928656196277352e+03 1.0800605092549881e+03 1.0668804657200355e+03 1.0537554719566510e+03 1.0413786956186725e+03 1.0306433975565790e+03 1.0229258105683879e+03 1.0201515534931419e+03 1.0251134233651917e+03 1.0418811095183860e+03 1.0766214103479415e+03 1.1390977148235972e+03 1.2457460284103718e+03 1.9395195934546425e+03 +2.6974535153441361e-03 1.2074282029508657e+05 3.3778737948969950e+05 7.0869413951740239e+05 1.1839573445657718e+06 1.6307406694282328e+06 1.8575517029025371e+06 1.7936680202177162e+06 1.5910690161098742e+06 1.3902451668837506e+06 1.2167692151580933e+06 1.0556708558792656e+06 9.0578346246899059e+05 7.7028503753179277e+05 6.4992195935598970e+05 5.4403536679830437e+05 4.5228872591784335e+05 3.7392125648462062e+05 3.0749017436366685e+05 2.5148477050290955e+05 2.0452552841915988e+05 1.6538370780420292e+05 1.3309103520251715e+05 1.0773417048075885e+05 8.9812192380813591e+04 7.4105073101041780e+04 5.7721223955829431e+04 4.3566637635197192e+04 3.2572331016997341e+04 2.4268527449804878e+04 1.8079971609374144e+04 1.3523912789707427e+04 1.0211242813407991e+04 7.8329996422886034e+03 6.1471997091365429e+03 4.9670016614076794e+03 4.1502808970617771e+03 3.5906074883013184e+03 3.2095682723966511e+03 2.9503562526400897e+03 2.7725217317361125e+03 2.6400116131769255e+03 2.5450652161521498e+03 2.4720714222440943e+03 2.4110345539345481e+03 2.3557181647026455e+03 2.3023678650345501e+03 2.2488564548226195e+03 2.1941238649512729e+03 2.1378155235386653e+03 2.0800325312291293e+03 2.0211673081158294e+03 1.9618196108675334e+03 1.9027132724420364e+03 1.8445247542945260e+03 1.7878804371926244e+03 1.7333671473322422e+03 1.6814396397769738e+03 1.6324535100957989e+03 1.5866361146201934e+03 1.5441505716090478e+03 1.5050235854451694e+03 1.4692531503097716e+03 1.4367107910072052e+03 1.4072734348726183e+03 1.3806937305173917e+03 1.3566973638025486e+03 1.3350468428493703e+03 1.3155347418130300e+03 1.2980518662172522e+03 1.2826729530902342e+03 1.2694760835399086e+03 1.2585520350843958e+03 1.2498548220322177e+03 1.2432156060283110e+03 1.2382678286900341e+03 1.2345876324835672e+03 1.2317874078116656e+03 1.2295193753368633e+03 1.2274916783734518e+03 1.2260918496003296e+03 1.2246908813085649e+03 1.2232668044555585e+03 1.2217773169186246e+03 1.2202414187002735e+03 1.2186164955824649e+03 1.2169471889451440e+03 1.2150989483676276e+03 1.2131209002328674e+03 1.2109766274042552e+03 1.2086377027237534e+03 1.2060695792179838e+03 1.2032333331180564e+03 1.2000750286888658e+03 1.1965916909775267e+03 1.1926650215907487e+03 1.1882624684779757e+03 1.1833201340102237e+03 1.1777692662379538e+03 1.1715389599473970e+03 1.1645580897413540e+03 1.1567499075063508e+03 1.1481160406759127e+03 1.1385180428785718e+03 1.1279835091550776e+03 1.1165368012761228e+03 1.1042677074719081e+03 1.0913289945751328e+03 1.0780114368389693e+03 1.0647494879134076e+03 1.0522436236482490e+03 1.0413963179749512e+03 1.0335982081121799e+03 1.0307949877631213e+03 1.0358086219374063e+03 1.0527512522887716e+03 1.0878540084235590e+03 1.1509821191638855e+03 1.2587431739071583e+03 1.9634844807237969e+03 +2.7140785639026051e-03 1.2060321344972402e+05 3.3741640420273406e+05 7.0794029974250891e+05 1.1827831263048705e+06 1.6293869367210956e+06 1.8565464746504140e+06 1.7934359703874376e+06 1.5916586714880494e+06 1.3915416343055209e+06 1.2186614997463422e+06 1.0580409895131935e+06 9.0850471940852376e+05 7.7323652856693568e+05 6.5299400292559678e+05 5.4713041956514772e+05 4.5532732405625412e+05 3.7684352634090465e+05 3.1025203318371752e+05 2.5405517162014823e+05 2.0688454667356214e+05 1.6752094739869394e+05 1.3500623776322714e+05 1.0945391000948194e+05 9.1403318298274360e+04 7.5563076766768630e+04 5.8980296514248999e+04 4.4614078012175036e+04 3.3427617552713782e+04 2.4956925265179460e+04 1.8626841634847351e+04 1.3953248460703106e+04 1.0544907805982924e+04 8.0902990033525293e+03 6.3447038005127997e+03 5.1185641205041329e+03 4.2671969470029435e+03 3.6818648084443753e+03 3.2821492458783760e+03 3.0095581997307677e+03 2.8222696689281679e+03 2.6827422903855131e+03 2.5830375208304226e+03 2.5067970436029718e+03 2.4434965890449403e+03 2.3865368761149498e+03 2.3319218008978264e+03 2.2773680743125019e+03 2.2217183531996070e+03 2.1645602281896013e+03 2.1059626862226501e+03 2.0463024599314517e+03 1.9861741960170025e+03 1.9263030663879699e+03 1.8673692399986735e+03 1.8100039239179969e+03 1.7547992665318618e+03 1.7022142312023796e+03 1.6526076085118304e+03 1.6062083454271510e+03 1.5631801061504214e+03 1.5235478980261882e+03 1.4873066330849360e+03 1.4543214454735476e+03 1.4244603189926368e+03 1.3974623314773805e+03 1.3730373009067148e+03 1.3509342182099933e+03 1.3309403891695047e+03 1.3129554022797051e+03 1.2970779163517511e+03 1.2834169099739142e+03 1.2720921649586830e+03 1.2630754860755148e+03 1.2562015490795375e+03 1.2510941324935034e+03 1.2473123666772367e+03 1.2444503137018005e+03 1.2421440712937881e+03 1.2400897891122950e+03 1.2386740426816075e+03 1.2372580763014585e+03 1.2358191626378359e+03 1.2343143179732565e+03 1.2327626361071445e+03 1.2311210104761769e+03 1.2294346264682765e+03 1.2275674153987961e+03 1.2255690651515304e+03 1.2234027842134551e+03 1.2210398541004702e+03 1.2184453734896988e+03 1.2155800189023687e+03 1.2123892819893601e+03 1.2088702524219102e+03 1.2049032851699503e+03 1.2004555512639281e+03 1.1954624968309961e+03 1.1898546648487688e+03 1.1835604226666617e+03 1.1765079147694469e+03 1.1686195870665620e+03 1.1598971752556408e+03 1.1502006845552576e+03 1.1395580482333989e+03 1.1279938774983257e+03 1.1155988823579792e+03 1.1025273973453359e+03 1.0890731801575839e+03 1.0756751255215449e+03 1.0630409810994493e+03 1.0520823639386526e+03 1.0442042315513520e+03 1.0413722258140160e+03 1.0464373018910719e+03 1.0635537888307031e+03 1.0990167463763541e+03 1.1627926070299090e+03 1.2716594893157262e+03 1.9877453790997304e+03 +2.7308060765954883e-03 1.2046353796278989e+05 3.3704550719822128e+05 7.0718658230389806e+05 1.1816080149395224e+06 1.6280281967687705e+06 1.8555278370312173e+06 1.7931807626828838e+06 1.5922174489267843e+06 1.3928017845717638e+06 1.2205138411905828e+06 1.0603695589757920e+06 9.1118477078970487e+05 7.7614883354234172e+05 6.5603018612615543e+05 5.5019389462156931e+05 4.5833919763702527e+05 3.7974415004063206e+05 3.1299729117384896e+05 2.5661378701088417e+05 2.0923621468355361e+05 1.6965478622097662e+05 1.3692144200246094e+05 1.1117657217222665e+05 9.3000158679135813e+04 7.7029406598258371e+04 6.0249511169167927e+04 4.5672588336120694e+04 3.4294189151562314e+04 2.5656273487337370e+04 1.9183927520138110e+04 1.4391804005233871e+04 1.0886656542107577e+04 8.3545056607321822e+03 6.5479749674803470e+03 5.2748432989565117e+03 4.3879020153108622e+03 3.7761212442157566e+03 3.3570785315492108e+03 3.0705881538679037e+03 2.8734409907202808e+03 2.7265700855963478e+03 2.6218707493727566e+03 2.5422162458159955e+03 2.4765354976318490e+03 2.4178517067750799e+03 2.3619158292050533e+03 2.3062802876462524e+03 2.2496847131800514e+03 2.1916549689284839e+03 2.1322253840091066e+03 2.0717553936666845e+03 2.0108335549977769e+03 1.9501858091050283e+03 1.8904957035835871e+03 1.8323990884107936e+03 1.7764933349681130e+03 1.7232415443771690e+03 1.6730056360717576e+03 1.6260160575824609e+03 1.5824368896558171e+03 1.5422912287304787e+03 1.5055705700165952e+03 1.4721331074011875e+03 1.4418370411163387e+03 1.4144066792945973e+03 1.3895345592105591e+03 1.3669549682411609e+03 1.3464496415769734e+03 1.3279280820774104e+03 1.3115154412748532e+03 1.2973549188518782e+03 1.2855983892722275e+03 1.2762374586098583e+03 1.2691108998648908e+03 1.2638321984180839e+03 1.2599421024153851e+03 1.2570147879039296e+03 1.2546688683925406e+03 1.2525875277331550e+03 1.2511558064667713e+03 1.2497248879853514e+03 1.2482712294869630e+03 1.2467511417290141e+03 1.2451837995550441e+03 1.2435256014423849e+03 1.2418222827266177e+03 1.2399362521297655e+03 1.2379177614173641e+03 1.2357296476156246e+03 1.2333429032807082e+03 1.2307222755874911e+03 1.2278280445106927e+03 1.2246051313676305e+03 1.2210507013213255e+03 1.2170437575824978e+03 1.2125512033063603e+03 1.2075078335566589e+03 1.2018434919181891e+03 1.1954858241295224e+03 1.1883622503625006e+03 1.1803944147846532e+03 1.1715841714429366e+03 1.1617899742352918e+03 1.1510400985377491e+03 1.1393594029455485e+03 1.1268395119231493e+03 1.1136363151944420e+03 1.1000465300265316e+03 1.0865134547105970e+03 1.0737520606665610e+03 1.0626830209510149e+03 1.0547255049878954e+03 1.0518649413919727e+03 1.0569810477967198e+03 1.0742700025340196e+03 1.1100902835466566e+03 1.1745087152061374e+03 1.2844725961689921e+03 2.0123059429877967e+03 +2.7476366849336531e-03 1.2032379430385365e+05 3.3667468655325996e+05 7.0643299709500966e+05 1.1804320675357357e+06 1.6266645443297178e+06 1.8544959593197780e+06 1.7929027072588662e+06 1.5927457145782576e+06 1.3940260034802200e+06 1.2223266007972178e+06 1.0626568726639280e+06 9.1382384423513722e+05 7.7902208110629371e+05 6.5903053022755915e+05 5.5322570645631454e+05 4.6132416273588157e+05 3.8262285881262168e+05 3.1572561168010865e+05 2.5916023085894284e+05 2.1158011673021695e+05 1.7178479721000502e+05 1.3883622595560050e+05 1.1290174902087053e+05 9.4602316354885697e+04 7.8503690158188372e+04 6.1528550722639135e+04 4.6741921253716988e+04 3.5171869797924803e+04 2.6366462744449029e+04 1.9751178090754107e+04 1.4839575771941067e+04 1.1236521333088829e+04 8.6256765744219720e+03 6.7570846153394095e+03 5.4359165229061537e+03 4.5124727830284746e+03 3.8734482511532433e+03 3.4344195944975081e+03 3.1335003389445192e+03 2.9260805773975399e+03 2.7715306047046201e+03 2.6615925435407357e+03 2.5783502058615036e+03 2.5101674420854642e+03 2.4496750695749924e+03 2.3923596382710375e+03 2.3356008427546117e+03 2.2780293256697737e+03 2.2191051632251829e+03 2.1588253549760257e+03 2.0975303372771878e+03 2.0358015346965326e+03 1.9743650452936263e+03 1.9139074381581609e+03 1.8550690038970988e+03 1.7984522246061958e+03 1.7445242585388501e+03 1.6936500786943127e+03 1.6460615330105479e+03 1.6019229762590583e+03 1.5612553608136320e+03 1.5240464003479135e+03 1.4901467507991238e+03 1.4594039144590097e+03 1.4315261260791065e+03 1.4061871067016089e+03 1.3831051522921987e+03 1.3620561036024512e+03 1.3429606147240436e+03 1.3259731317925316e+03 1.3112746957924664e+03 1.2990526364106174e+03 1.2893205509203269e+03 1.2819219456692279e+03 1.2764593300786485e+03 1.2724535820022754e+03 1.2694572988172299e+03 1.2670701307913935e+03 1.2649612402573155e+03 1.2635134985874638e+03 1.2620676948516520e+03 1.2605994087419167e+03 1.2590642199320807e+03 1.2574813701879157e+03 1.2558067606804766e+03 1.2540866826419344e+03 1.2521820190873825e+03 1.2501435876624125e+03 1.2479338575542397e+03 1.2455235352760676e+03 1.2428770200138424e+03 1.2399541991054184e+03 1.2366994266648039e+03 1.2331099552321593e+03 1.2290634320794368e+03 1.2245265027299404e+03 1.2194333175999520e+03 1.2137130278815903e+03 1.2072925649054644e+03 1.2000986317028294e+03 1.1920520762244423e+03 1.1831548818518731e+03 1.1732639496262727e+03 1.1624079009367429e+03 1.1506118392448125e+03 1.1379682944224367e+03 1.1246346959197597e+03 1.1109106911012088e+03 1.0972439357474584e+03 1.0843565643200500e+03 1.0731782001849463e+03 1.0651420899828927e+03 1.0622532499242186e+03 1.0674198783239046e+03 1.0848795852769472e+03 1.1210536346945705e+03 1.1861082404502895e+03 1.2971582131066350e+03 2.0371698718734717e+03 +2.7645710243201188e-03 1.2018397716359784e+05 3.3630393969370081e+05 7.0567952875390847e+05 1.1792552844793648e+06 1.6252960548818249e+06 1.8534510442160433e+06 1.7926020768939089e+06 1.5932438300598671e+06 1.3952146703217418e+06 1.2241001386594630e+06 1.0649032418502183e+06 9.1642217209229397e+05 7.8185640675744868e+05 6.6199506527012354e+05 5.5622577976284595e+05 4.6428204648999771e+05 3.8547939514268778e+05 3.1843666887959652e+05 2.6169412721486465e+05 2.1391584554052280e+05 1.7391056000470411e+05 1.4075017240741441e+05 1.1462903533543998e+05 9.6209394760063631e+04 7.9985553263268623e+04 6.2817093995117102e+04 4.7821823703400427e+04 3.6060476681742162e+04 2.7087376426889565e+04 2.0328535067899069e+04 1.5296553603498454e+04 1.1594528908526581e+04 8.9038642277461040e+03 6.9721008241564487e+03 5.6018588803827824e+03 4.6409846368667504e+03 3.9739167457086569e+03 3.5142359135948323e+03 3.1983493546182872e+03 2.9802338847294045e+03 2.8176601056685085e+03 2.7022311774904874e+03 2.6152206591356794e+03 2.5444090469420694e+03 2.4820197421832213e+03 2.4232631944791515e+03 2.3653376944036208e+03 2.3067587228616294e+03 2.2469163384231119e+03 2.1857674089449542e+03 2.1236315760021935e+03 2.0610820230469244e+03 1.9988443484589400e+03 1.9376077559588289e+03 1.8780167545440745e+03 1.8206788108433254e+03 1.7660650488302167e+03 1.7145434099981339e+03 1.6663470316850401e+03 1.6216403860585240e+03 1.5804420274772212e+03 1.5427354909762819e+03 1.5083632450373693e+03 1.4771610995648009e+03 1.4488197994590062e+03 1.4229925819943269e+03 1.3993803548440378e+03 1.3777527175124715e+03 1.3580428260674921e+03 1.3404374718602846e+03 1.3251594766425819e+03 1.3124352829211371e+03 1.3023028616265613e+03 1.2946111454823483e+03 1.2889509282688377e+03 1.2848216025194265e+03 1.2817523490740898e+03 1.2793222492219395e+03 1.2771852981728803e+03 1.2757215032150809e+03 1.2742609037133564e+03 1.2727781345934036e+03 1.2712280171222171e+03 1.2696298443951034e+03 1.2679390182312848e+03 1.2662023917080903e+03 1.2642793203330164e+03 1.2622211892412708e+03 1.2599901041439766e+03 1.2575564890300820e+03 1.2548843993318844e+03 1.2519333344755448e+03 1.2486470854191978e+03 1.2450230050539055e+03 1.2409373815733468e+03 1.2363566144059394e+03 1.2312142170685254e+03 1.2254386568101709e+03 1.2189561592242203e+03 1.2116927188662071e+03 1.2035683944026189e+03 1.1945853104833257e+03 1.1845988152756809e+03 1.1736378801022126e+03 1.1617278502526131e+03 1.1489621500858484e+03 1.1354997301291530e+03 1.1216431322810752e+03 1.1078443144814389e+03 1.0948324997845755e+03 1.0835461360314453e+03 1.0754323838662081e+03 1.0725156071035017e+03 1.0777321443301114e+03 1.0953605338501034e+03 1.1318840629782453e+03 1.1975671262487124e+03 1.3096900320390989e+03 2.0623409108778037e+03 +2.7816097340740459e-03 1.2004408782108486e+05 3.3593327076355065e+05 7.0492620611010981e+05 1.1780777051021475e+06 1.6239227917689546e+06 1.8523932862590521e+06 1.7922791767004484e+06 1.5937121551815770e+06 1.3963681595824126e+06 1.2258348167009980e+06 1.0671089804735335e+06 9.1897999097976275e+05 7.8465195271955454e+05 6.6492382984402310e+05 5.5919404925948998e+05 4.6721268693355768e+05 3.8831351264965232e+05 3.2113014771735412e+05 2.6421511000083934e+05 2.1624300236021235e+05 1.7603166108045282e+05 1.4266286908502321e+05 1.1635802886226217e+05 9.7820998215445303e+04 8.1474620299831164e+04 6.4114816135868597e+04 4.8912037188326445e+04 3.6959820412978246e+04 2.7818890830515295e+04 2.0915933137714590e+04 1.5762720836714112e+04 1.1960700358992211e+04 9.1891165282892034e+03 7.1930882249410297e+03 5.7727430890078240e+03 4.7735115420012671e+03 4.0775969928241689e+03 3.5965908894116774e+03 3.2651901063400442e+03 3.0359468949391057e+03 2.8649954684396907e+03 2.7438155419394193e+03 2.6528498931990698e+03 2.5792773982748818e+03 2.5148988691912487e+03 2.4546367453238627e+03 2.3954990070426907e+03 2.3358795905421516e+03 2.2750941331078325e+03 2.2130564357513535e+03 2.1500634522837654e+03 2.0866789483853786e+03 2.0236273198092999e+03 1.9615999868678459e+03 1.9012454336412848e+03 1.8431759703404973e+03 1.7878665837588562e+03 1.7356880883311021e+03 1.6868747881266797e+03 1.6415911008935866e+03 1.5998529066545243e+03 1.5616391298410579e+03 1.5267833461848584e+03 1.4951085925637001e+03 1.4662865862196682e+03 1.4399482712496490e+03 1.4157756531441746e+03 1.3935317190263345e+03 1.3731636004905952e+03 1.3548937523931556e+03 1.3389910600201954e+03 1.3257250534317025e+03 1.3151606665834145e+03 1.3071530126824539e+03 1.3012803690202438e+03 1.2970188912568453e+03 1.2938723496862594e+03 1.2913975146726677e+03 1.2892319720468211e+03 1.2877521047537955e+03 1.2862768235173796e+03 1.2847797456213950e+03 1.2832149047216515e+03 1.2816016280621286e+03 1.2798948163900923e+03 1.2781418905753674e+03 1.2762006782552594e+03 1.2741231332116074e+03 1.2718710028747976e+03 1.2694144328645323e+03 1.2667171398812727e+03 1.2637382410389839e+03 1.2604209691842668e+03 1.2567627917135355e+03 1.2526386357223821e+03 1.2480146674950706e+03 1.2428237728269050e+03 1.2369937450273267e+03 1.2304501142412689e+03 1.2231181768104786e+03 1.2149172105711959e+03 1.2058494944120273e+03 1.1957688252390105e+03 1.1847045282542392e+03 1.1726821869827736e+03 1.1597961073193455e+03 1.1462067387641762e+03 1.1322194756153367e+03 1.1182905126139217e+03 1.1051560720985556e+03 1.0937632787753462e+03 1.0855730132176705e+03 1.0826287026578814e+03 1.0878944221175773e+03 1.1056890414642846e+03 1.1425569678399875e+03 1.2088593442045067e+03 1.3220395884289494e+03 2.0878228513206682e+03 +2.7987534574548702e-03 1.1990412373288706e+05 3.3556267487263656e+05 7.0417301639396278e+05 1.1768993245434060e+06 1.6225448641689578e+06 1.8513228750643337e+06 1.7919342947350985e+06 1.5941510384844909e+06 1.3974868479955925e+06 1.2275309973105760e+06 1.0692744040504999e+06 9.2149754139607481e+05 7.8740886765670183e+05 6.6781687091736053e+05 5.6213045950143854e+05 4.7011593281741149e+05 3.9112497595761216e+05 3.2380574384011043e+05 2.6672282300933282e+05 2.1856119702026938e+05 1.7814769387624823e+05 1.4457390884026984e+05 1.1808833054387478e+05 9.9436732205387350e+04 8.2970514534183050e+04 6.5421388932292903e+04 5.0012298052331069e+04 3.7869705241586962e+04 2.8560875308185201e+04 2.1513300029916503e+04 1.6238054312500426e+04 1.2335051087874637e+04 9.4814767162732660e+03 7.4201078812631586e+03 5.9486393669312038e+03 4.9101259159371712e+03 4.1845584928778217e+03 3.6815477504008682e+03 3.3340777330330702e+03 3.0932660651152673e+03 2.9135741624707098e+03 2.7863751263074741e+03 2.6912607399578660e+03 2.6147900419796838e+03 2.5483259635307140e+03 2.4864908219602999e+03 2.4260931573545427e+03 2.3653987700615417e+03 2.3036442983121233e+03 2.2406974057031848e+03 2.1768303655558552e+03 2.1125962786971077e+03 2.0487175870607743e+03 1.9858874768220571e+03 1.9247581416404410e+03 1.8659465787227605e+03 1.8099315225203045e+03 1.7570865536311344e+03 1.7076470076877786e+03 1.6617770598879426e+03 1.6194896155346639e+03 1.5807585189787944e+03 1.5454076879047352e+03 1.5132462128298253e+03 1.4839251151291201e+03 1.4570510839556075e+03 1.4322855832636494e+03 1.4093845909336485e+03 1.3883108199404826e+03 1.3693259947378929e+03 1.3527497157562796e+03 1.3388989159020130e+03 1.3278683036516859e+03 1.3195199922948591e+03 1.3134188760121212e+03 1.3090159753658063e+03 1.3057874883734514e+03 1.3032659862149383e+03 1.3010712992934343e+03 1.2995753556741086e+03 1.2980855332950600e+03 1.2965743528928024e+03 1.2949950292908434e+03 1.2933669049885948e+03 1.2916443783033287e+03 1.2898754438275027e+03 1.2879164025316541e+03 1.2858197775259641e+03 1.2835469640276121e+03 1.2810678341481803e+03 1.2783457717187403e+03 1.2753395180924513e+03 1.2719917541252614e+03 1.2683000771382381e+03 1.2641380523377447e+03 1.2594716273157587e+03 1.2542330708891614e+03 1.2483495141165770e+03 1.2417458037110341e+03 1.2343465498007590e+03 1.2260702594902825e+03 1.2169193799804323e+03 1.2067461603201316e+03 1.1955802835403031e+03 1.1834475672130438e+03 1.1704431836304605e+03 1.1567290554282602e+03 1.1426133800587988e+03 1.1285565128819796e+03 1.1153015701520308e+03 1.1038041822991788e+03 1.0955387224137596e+03 1.0925673491991570e+03 1.0978814017384293e+03 1.1158393842323296e+03 1.1530457677012662e+03 1.2199567699197266e+03 1.3341761255561401e+03 2.1136195312887317e+03 +2.8160028416865887e-03 1.1976408441367596e+05 3.3519214571727248e+05 7.0341996653415228e+05 1.1757201959893922e+06 1.6211623161908726e+06 1.8502399824955508e+06 1.7915677195881221e+06 1.5945608280469750e+06 1.3985711092646036e+06 1.2291890414299401e+06 1.0713998291788623e+06 9.2397506780779525e+05 7.9012730629088916e+05 6.7067424363788043e+05 5.6503496466791141e+05 4.7299164341147384e+05 3.9391356055948196e+05 3.2646316351830336e+05 2.6921691989106854e+05 2.2087004799140643e+05 1.8025825891314543e+05 1.4648288982306395e+05 1.1981954473959956e+05 1.0105620364645839e+05 8.4472858418591772e+04 6.6736481116717201e+04 5.1122337756614426e+04 3.8789929282287427e+04 2.9313192428490605e+04 2.2120556605554619e+04 1.6722524395401379e+04 1.2717590772034351e+04 9.7809832805048427e+03 7.6532171764957393e+03 6.1296153072003663e+03 5.0508985038388018e+03 4.2948698684271812e+03 3.7691694575365595e+03 3.4050675325022366e+03 3.1522382730974223e+03 2.9634342118111331e+03 2.8299399987953511e+03 2.7304765662441628e+03 2.6509649808959475e+03 2.5823149070797640e+03 2.5188362412380288e+03 2.4571287364472109e+03 2.3953232600868055e+03 2.3325726985708593e+03 2.2686953699107385e+03 2.2039367719404231e+03 2.1388380207546465e+03 2.0741188030981752e+03 2.0104735860853382e+03 1.9485579840811481e+03 1.8889935081272506e+03 1.8322625121430228e+03 1.7787412241103216e+03 1.7286658626576523e+03 1.6822001547641275e+03 1.6393537047937211e+03 1.6000947672178556e+03 1.5642367718899100e+03 1.5315735900283275e+03 1.5017337389120005e+03 1.4742975275283095e+03 1.4489041045421513e+03 1.4253020145163180e+03 1.4034713001167265e+03 1.3837168706213697e+03 1.3664140891283555e+03 1.3519319720888939e+03 1.3403980522256700e+03 1.3316823326641882e+03 1.3253353871863453e+03 1.3207810456056941e+03 1.3174655919222064e+03 1.3148953528549425e+03 1.3126709459504821e+03 1.3111589383707947e+03 1.3096547441500445e+03 1.3081297020989259e+03 1.3065361748268983e+03 1.3048934993611601e+03 1.3031555706170941e+03 1.3013709628273614e+03 1.2993944531914856e+03 1.2972791343026727e+03 1.2949860561948096e+03 1.2924848230763346e+03 1.2897384926923219e+03 1.2867054382016190e+03 1.2833277957599680e+03 1.2796033093912379e+03 1.2754041829513128e+03 1.2706961614195268e+03 1.2654109090585559e+03 1.2594749081753966e+03 1.2528123359449339e+03 1.2453471301548682e+03 1.2369970390450910e+03 1.2277646934026407e+03 1.2175007997410296e+03 1.2062354028936686e+03 1.1939945496396590e+03 1.1808742611664895e+03 1.1670379033782017e+03 1.1527964199730202e+03 1.1386142390565053e+03 1.1252412480908040e+03 1.1136413867170861e+03 1.1053022571353872e+03 1.1023043660475328e+03 1.1076657702506259e+03 1.1257838025118383e+03 1.1633217773546528e+03 1.2308290532748924e+03 1.3460664526559983e+03 2.1397348362123557e+03 +2.8333585379821942e-03 1.1962396427737617e+05 3.3482169072876690e+05 7.0266705816558783e+05 1.1745403242089737e+06 1.6197752682607968e+06 1.8491447907726348e+06 1.7911797505888124e+06 1.5949418796500193e+06 1.3996213142223237e+06 1.2308093099608705e+06 1.0734855731049241e+06 9.2641281874682428e+05 7.9280742908936343e+05 6.7349601105217752e+05 5.6790752832858206e+05 4.7583968830404675e+05 3.9667905267936975e+05 3.2910212356431916e+05 2.7169706413543102e+05 2.2316918243249113e+05 1.8236296390191530e+05 1.4838941564610452e+05 1.2155127943856979e+05 1.0267902114951712e+05 8.5981273890315599e+04 6.8059758671423202e+04 5.2241883158424134e+04 3.9720284744070828e+04 3.0075698141798501e+04 2.2737616953549306e+04 1.7216095002477567e+04 1.3108323331593294e+04 1.0087669882073742e+04 7.8924697069216672e+03 6.3157357559188567e+03 5.1958982556022356e+03 4.4085987508896342e+03 3.8595186077020217e+03 3.4782148847905132e+03 3.2129107609576240e+03 3.0146141578602360e+03 2.8745407844211500e+03 2.7705212627727547e+03 2.6878206707227009e+03 2.6168799504378139e+03 2.5516841071577337e+03 2.4886145516917713e+03 2.4256602180805626e+03 2.3618853127870038e+03 2.2970554604773338e+03 2.2313871837884776e+03 2.1654082191308598e+03 2.0998346445427219e+03 2.0353616874107558e+03 1.9726480693706844e+03 1.9123196246205246e+03 1.8548621844885445e+03 1.8006544927672480e+03 1.7499334881440075e+03 1.7028622249141574e+03 1.6594466525388291e+03 1.6196488825124968e+03 1.5832709578271374e+03 1.5500901505390179e+03 1.5197105153770503e+03 1.4916836807256034e+03 1.4656245623647571e+03 1.4412738187538773e+03 1.4186307237555557e+03 1.3980476184814379e+03 1.3799611008174704e+03 1.3647973431436753e+03 1.3527200074267123e+03 1.3436079514557975e+03 1.3369964154901666e+03 1.3322798140902696e+03 1.3288719824800389e+03 1.3262507892935232e+03 1.3239960623705792e+03 1.3224680209372236e+03 1.3209496551598104e+03 1.3194110296105628e+03 1.3178036189934617e+03 1.3161467321576501e+03 1.3143937600749648e+03 1.3125938625091551e+03 1.3106002976211737e+03 1.3084667270743562e+03 1.3061538637711035e+03 1.3036310504463918e+03 1.3008610265100360e+03 1.2978018056105814e+03 1.2943949877383286e+03 1.2906384818628628e+03 1.2864031324715318e+03 1.2816544997621027e+03 1.2763236576710838e+03 1.2703364552220885e+03 1.2636164159481273e+03 1.2560868211965928e+03 1.2476646741264408e+03 1.2383528056576711e+03 1.2280003871808522e+03 1.2166378293081959e+03 1.2042914024952217e+03 1.1910579567721934e+03 1.1771022671086205e+03 1.1627379582680228e+03 1.1484334306402552e+03 1.1349452014956453e+03 1.1232452958242432e+03 1.1148342427374996e+03 1.1118104579203139e+03 1.1172180898259564e+03 1.1354923770226740e+03 1.1733540799467523e+03 1.2414434829767863e+03 1.3576747967927531e+03 2.1661726994487221e+03 +2.8508212015682607e-03 1.1948376431594390e+05 3.3445130518032791e+05 7.0191428719362733e+05 1.1733597391535772e+06 1.6183837738673196e+06 1.8480374961279863e+06 1.7907706572913832e+06 1.5952945443669781e+06 1.4006378316270106e+06 1.2323921625581500e+06 1.0755319546111764e+06 9.2881104661013011e+05 7.9544940212317766e+05 6.7628224378754641e+05 5.7074812321214739e+05 4.7865994721177191e+05 3.9942124912455736e+05 3.3172235124134971e+05 2.7416292904215428e+05 2.2545823622780910e+05 1.8446142384307153e+05 1.5029309553914543e+05 1.2328314646290569e+05 1.0430479527321810e+05 8.7495382666449717e+04 6.9390885130427050e+04 5.3370656789943787e+04 4.0660558163453497e+04 3.0848241953038316e+04 2.3364388495712385e+04 1.7718723641480035e+04 1.3507246908596719e+04 1.0401565285792814e+04 8.1379151808869501e+03 6.5070626944440546e+03 5.3451922049125815e+03 4.5258116675193514e+03 3.9526573359774197e+03 3.5535751735980798e+03 3.2753310761900525e+03 3.0671530197834750e+03 2.9202086410021011e+03 2.8114192314393927e+03 2.7253760147020762e+03 2.6520357118216966e+03 2.5850458117480052e+03 2.5205596281616986e+03 2.4564169615562118e+03 2.3915882349189828e+03 2.3257828905324682e+03 2.2591861691256695e+03 2.1923109550900954e+03 2.1258688101756511e+03 2.0605551640611743e+03 1.9970315064260740e+03 1.9359277854450900e+03 1.8777331530834122e+03 1.8228287236993681e+03 1.7714519777460121e+03 1.7237650522184290e+03 1.6797698579559624e+03 1.6394217639062633e+03 1.6025104528919801e+03 1.5687951032385329e+03 1.5378531876540428e+03 1.5092051658303344e+03 1.4824396492596413e+03 1.4572889272301434e+03 1.4337735709478295e+03 1.4122979561242535e+03 1.3933658424910623e+03 1.3774660502322824e+03 1.3648019488496411e+03 1.3552622958898942e+03 1.3483659036114038e+03 1.3434753659071655e+03 1.3399693276762644e+03 1.3372948054856142e+03 1.3350091327063433e+03 1.3334651067304781e+03 1.3319328030821875e+03 1.3303809123465526e+03 1.3287599831649195e+03 1.3270892713876840e+03 1.3253216639531299e+03 1.3235069120249223e+03 1.3214967614355605e+03 1.3193454418965568e+03 1.3170133383380819e+03 1.3144695393129266e+03 1.3116764747213219e+03 1.3085918085575543e+03 1.3051566145495278e+03 1.3013689864141388e+03 1.2970984128090033e+03 1.2923102888640208e+03 1.2869351143737038e+03 1.2808981226396868e+03 1.2741222016380520e+03 1.2665299943351793e+03 1.2580377746604895e+03 1.2486485915791366e+03 1.2382100910278978e+03 1.2267530533894583e+03 1.2143039665051044e+03 1.2009604864558612e+03 1.1868887584029530e+03 1.1724050140936388e+03 1.1579815121875686e+03 1.1443812382336764e+03 1.1325840492794314e+03 1.1241030573923188e+03 1.1210540884331076e+03 1.1265066706236416e+03 1.1449328996413847e+03 1.1831093934658229e+03 1.2517648452987562e+03 1.3689626483731879e+03 2.1929371028722462e+03 +2.8683914917096791e-03 1.1934348126313266e+05 3.3408098452134815e+05 7.0116166619343986e+05 1.1721784556144166e+06 1.6169879101653392e+06 1.8469182552810409e+06 1.7903407393419193e+06 1.5956191668842228e+06 1.4016210296989172e+06 1.2339379593484374e+06 1.0775392947919394e+06 9.3117000739098375e+05 7.9805339707993739e+05 6.7903301978473330e+05 5.7355673100268538e+05 4.8145230980789114e+05 4.0213995713359525e+05 3.3432358416841767e+05 2.7661419768474426e+05 2.2773685401678539e+05 1.8655326111678421e+05 1.5219354449474925e+05 1.2501476166293047e+05 1.0593313877057692e+05 8.9014806531299037e+04 7.0729521878505620e+04 5.4508377137336778e+04 4.1610530641467980e+04 3.1630667100556024e+04 2.4000772099926489e+04 1.8230361457917264e+04 1.3914353854572642e+04 1.0722693299600431e+04 8.3895993242559889e+03 6.7036551259018752e+03 5.4988453506547130e+03 4.6465739289518206e+03 4.0486472171260443e+03 3.6312037059812401e+03 3.3395470106822913e+03 3.1210902526595673e+03 2.9669752330757074e+03 2.8531953709315962e+03 2.7636503570180794e+03 2.6877971750560328e+03 2.6189330353188584e+03 2.5529732096442685e+03 2.4876009690048854e+03 2.4216876744511992e+03 2.3548829541192740e+03 2.2873383509281921e+03 2.2195503453552751e+03 2.1522250192425358e+03 2.0860574076988528e+03 2.0217114021749467e+03 1.9598208361260174e+03 1.9008780097749157e+03 1.8452662482334849e+03 1.7932233790189832e+03 1.7449103556169659e+03 1.7003246346382950e+03 1.6594141931120407e+03 1.6219553007300203e+03 1.5876874246209572e+03 1.5561591635277152e+03 1.5268571195772820e+03 1.4993413642539952e+03 1.4733353027230619e+03 1.4488830464476971e+03 1.4264459896378457e+03 1.4066014679477037e+03 1.3899068901241858e+03 1.3766092037951803e+03 1.3666081970885800e+03 1.3594050726263670e+03 1.3543280045250633e+03 1.3507174844545598e+03 1.3479870899015827e+03 1.3456698180944838e+03 1.3441098776511626e+03 1.3425639057726958e+03 1.3409991113637961e+03 1.3393650762040486e+03 1.3376809760521787e+03 1.3358991942335322e+03 1.3340700791308393e+03 1.3320438731061165e+03 1.3298753722239396e+03 1.3275246438018335e+03 1.3249605304420393e+03 1.3221451624896583e+03 1.3190358654289980e+03 1.3155731980690682e+03 1.3117554603627400e+03 1.3074507903673357e+03 1.3026244398715717e+03 1.2972063528035155e+03 1.2911211665821450e+03 1.2842911540321525e+03 1.2766383401457026e+03 1.2680782876852306e+03 1.2586142830462481e+03 1.2480924588096323e+03 1.2365439691217671e+03 1.2239955121186197e+03 1.2105455241907757e+03 1.1963614767850509e+03 1.1817621249943004e+03 1.1672234571511281e+03 1.1535147439121874e+03 1.1416233894508841e+03 1.1330746999222304e+03 1.1300013482764439e+03 1.1354974383365545e+03 1.1540707387803125e+03 1.1925519316297450e+03 1.2617552768991484e+03 1.3798886001886096e+03 2.2200320774723841e+03 +2.8860700717345473e-03 1.1920311658937475e+05 3.3371073276033945e+05 7.0040919881943509e+05 1.1709964943561896e+06 1.6155877499937294e+06 1.8457872524697601e+06 1.7898902623453669e+06 1.5959160807438998e+06 1.4025712745486223e+06 1.2354470604893456e+06 1.0795079160678245e+06 9.3348996033095382e+05 8.0061959117806971e+05 6.8174842410086701e+05 5.7633334213572962e+05 4.8421667554929754e+05 4.0483499422124622e+05 3.3690557021716255e+05 2.7905056286957051e+05 2.3000468921399891e+05 1.8863810556429281e+05 1.5409038340541706e+05 1.2674574510373746e+05 1.0756366682727325e+05 9.0539167618484251e+04 7.2075328446318119e+04 5.5654758920183878e+04 4.2569978083450929e+04 3.2422810740866433e+04 2.4646662201060000e+04 1.8750953291075428e+04 1.4329630726865102e+04 1.1051072721779790e+04 8.6475637922196001e+03 6.9055689662143905e+03 5.6569205409187871e+03 4.7709495175095635e+03 4.1475491664634983e+03 3.7111556304645069e+03 3.4056065376052338e+03 3.1764657034191609e+03 3.0148727037809731e+03 2.8958750606473100e+03 2.8026634748879660e+03 2.7241796866032364e+03 2.6533577460443098e+03 2.5858647592205430e+03 2.5192198805405305e+03 2.4521899566566999e+03 2.3843610258917402e+03 2.3158484062663847e+03 2.2471305407138475e+03 2.1789070096068544e+03 2.1118718161274228e+03 2.0466908589053555e+03 1.9840016074127193e+03 1.9242993212133094e+03 1.8679693608642569e+03 1.8152496887065811e+03 1.7662997854129010e+03 1.7211122036204918e+03 1.6796268257018971e+03 1.6416053699664922e+03 1.6067658432519911e+03 1.5746254938605196e+03 1.5446341628140167e+03 1.5163209704843780e+03 1.4893998894269371e+03 1.4639410039025345e+03 1.4404681184915212e+03 1.4196390797550985e+03 1.4020863056417950e+03 1.3881045048766682e+03 1.3776057184789001e+03 1.3700722644741900e+03 1.3647950909007845e+03 1.3610733365578012e+03 1.3582843464024177e+03 1.3559347934525929e+03 1.3543590310240299e+03 1.3527996992207095e+03 1.3512224090642053e+03 1.3495757318634082e+03 1.3478787337615727e+03 1.3460832954242399e+03 1.3442403682368906e+03 1.3421987022474784e+03 1.3400136574771118e+03 1.3376449952515361e+03 1.3350613214666209e+03 1.3322244780920860e+03 1.3290914646162596e+03 1.3256023378457674e+03 1.3217556272452819e+03 1.3174181273234087e+03 1.3125549704158250e+03 1.3070955651161717e+03 1.3009639752267685e+03 1.2940818813409312e+03 1.2863707133868211e+03 1.2777453434105853e+03 1.2682093161910261e+03 1.2576072656705280e+03 1.2459707237574808e+03 1.2333265909199029e+03 1.2197740549506577e+03 1.2054818642893640e+03 1.1907712034439016e+03 1.1761216461856013e+03 1.1623085418443629e+03 1.1503265228171247e+03 1.1417126522506233e+03 1.1386158180449968e+03 1.1441537963443050e+03 1.1628686992845242e+03 1.2016432591175526e+03 1.2713741116441472e+03 1.3904081799077107e+03 2.2474617039587429e+03 +2.9038576090592116e-03 1.1906266363321726e+05 3.3334054977799964e+05 6.9965687883340975e+05 1.1698138688742681e+06 1.6141833856431784e+06 1.8446446735895709e+06 1.7894194826840407e+06 1.5961856293779088e+06 1.4034889292539707e+06 1.2369198238577375e+06 1.0814381412348575e+06 9.3577116738411773e+05 8.0314816683493438e+05 6.8442854875001963e+05 5.7907795558330545e+05 4.8695295350207802e+05 4.0750618801946845e+05 3.3946806740814832e+05 2.8147172708623228e+05 2.3226140402277131e+05 1.9071559456124494e+05 1.5598323919042203e+05 1.2847572124296764e+05 1.0919599729152094e+05 9.2068088685975716e+04 7.3427962802050039e+04 5.6809513369719381e+04 4.3538671441773811e+04 3.3224504138863245e+04 2.5301946929335441e+04 1.9280437738410950e+04 1.4753058293671111e+04 1.1386717296291527e+04 8.9118460877752477e+03 7.1128569399399112e+03 5.8194783598359199e+03 4.8990009766774920e+03 4.2494233404034694e+03 3.7934858538144890e+03 3.4735577463825416e+03 3.2333195646267650e+03 3.0639336447291944e+03 2.9394841428904615e+03 2.8424355693166708e+03 2.7611989516284989e+03 2.6883321988668094e+03 2.6192439593516960e+03 2.5512814982075570e+03 2.4831015226011727e+03 2.4142225606352754e+03 2.3447210652838839e+03 2.2750557245065661e+03 2.2059185357768779e+03 2.1380017908950067e+03 2.0719729714607874e+03 2.0084729120526654e+03 1.9479996251592718e+03 1.8909403149845471e+03 1.8375328477515291e+03 1.7879349173164715e+03 1.7421336860804206e+03 1.7000601819022818e+03 1.6614603421771444e+03 1.6260288235384448e+03 1.5932488500715003e+03 1.5625303688535309e+03 1.5333689509964299e+03 1.5054685527542026e+03 1.4789278669770370e+03 1.4543389367810769e+03 1.4324476113055287e+03 1.4139682509237534e+03 1.3992478419549752e+03 1.3882119981612943e+03 1.3803227781647813e+03 1.3748308761886515e+03 1.3709906255458129e+03 1.3681401246436012e+03 1.3657575778010234e+03 1.3641661100244742e+03 1.3625937681227629e+03 1.3610044399576082e+03 1.3593456397453770e+03 1.3576362918983098e+03 1.3558277759582727e+03 1.3539716520318441e+03 1.3519151915110815e+03 1.3497143151853384e+03 1.3473284913967539e+03 1.3447260996568023e+03 1.3418687060496136e+03 1.3387129980510761e+03 1.3351985450615000e+03 1.3313241312622868e+03 1.3269552166123390e+03 1.3220568402113163e+03 1.3165578982616698e+03 1.3103819058279350e+03 1.3034499768761200e+03 1.2956829718783376e+03 1.2869950951730432e+03 1.2773901725487603e+03 1.2667113568531440e+03 1.2549905617456661e+03 1.2422548811444929e+03 1.2286042219318467e+03 1.2142085544549411e+03 1.1993913876938375e+03 1.1846357198207493e+03 1.1707227474607098e+03 1.1586539758881536e+03 1.1499777363898434e+03 1.1468584256122060e+03 1.1524364823998608e+03 1.1712868767775888e+03 1.2103421410518599e+03 1.2805777213577148e+03 1.4004736759126517e+03 2.2752301133734168e+03 +2.9217547752134654e-03 1.1892212477195729e+05 3.3297042771474173e+05 6.9890471179078915e+05 1.1686305989570352e+06 1.6127748836417627e+06 1.8434906876551569e+06 1.7889286949991151e+06 1.5964281328635314e+06 1.4043743563427127e+06 1.2383566062075002e+06 1.0833302938309717e+06 9.3801389286222623e+05 8.0563931135008205e+05 6.8707349255197134e+05 5.8179057862287061e+05 4.8966106214977842e+05 4.1015337612451910e+05 3.4201084380183264e+05 2.8387740245578543e+05 2.3450666943944426e+05 1.9278537308121161e+05 1.5787174491505130e+05 1.3020431909996881e+05 1.1082975089653481e+05 9.3601193384520302e+04 7.4787081638417440e+04 5.7972348506091039e+04 4.4516376960186346e+04 3.4035572862849294e+04 2.5966508245758807e+04 1.9818747228363052e+04 1.5184611547649019e+04 1.1729635675933025e+04 9.1824794867937999e+03 7.3255684810563971e+03 5.9865770175674006e+03 5.0307893018875857e+03 4.3543290368612552e+03 3.8782489566053232e+03 3.5434487758073124e+03 3.2916923261963375e+03 3.1141910638642989e+03 2.9840489033746612e+03 2.8829872544988161e+03 2.7988710290320860e+03 2.7238689336791631e+03 2.6531207114771655e+03 2.5837937859369181e+03 2.5144289289149447e+03 2.4444730925950862e+03 2.3739611100262309e+03 2.3033301109502404e+03 2.2332633667701925e+03 2.1644507347500480e+03 2.0975608242855660e+03 2.0332375414063288e+03 1.9719814266062538e+03 1.9141813184203334e+03 1.8600747360694741e+03 1.8098172462190457e+03 1.7633900957211683e+03 1.7207146369858845e+03 1.6815196993492659e+03 1.6454745488040310e+03 1.6120255006603211e+03 1.5805392305015744e+03 1.5504749627465942e+03 1.5215260167149338e+03 1.4938225473012139e+03 1.4680311305598502e+03 1.4449937042442530e+03 1.4255140514306213e+03 1.4099963083234468e+03 1.3983810851743842e+03 1.3901086996660217e+03 1.3843863280063249e+03 1.3804197753169547e+03 1.3775046439451930e+03 1.3750883580467266e+03 1.3734813275572301e+03 1.3718963699304536e+03 1.3702955148897029e+03 1.3686251697491527e+03 1.3669040822844383e+03 1.3650831330787232e+03 1.3632144966289429e+03 1.3611439819783250e+03 1.3589280666847199e+03 1.3565259405724532e+03 1.3539057682550620e+03 1.3510288538251132e+03 1.3478515883079322e+03 1.3443130700924098e+03 1.3404123653328882e+03 1.3360136105567358e+03 1.3310817803167181e+03 1.3255452839545560e+03 1.3193271154758636e+03 1.3123478507097241e+03 1.3045278091630562e+03 1.2957805532128814e+03 1.2861102140898668e+03 1.2753584841026063e+03 1.2635576626611448e+03 1.2507350272445524e+03 1.2369911678767628e+03 1.2224972155223741e+03 1.2075788868719819e+03 1.1927224254744426e+03 1.1787146171176028e+03 1.1665634455647264e+03 1.1578279659285638e+03 1.1546872980147587e+03 1.1603034197911788e+03 1.1792825063865871e+03 1.2186043866882769e+03 1.2893193504353937e+03 1.4100339564357716e+03 2.3033414877113446e+03 +2.9397622458658987e-03 1.1878149509875159e+05 3.3260036997497501e+05 6.9815270726672467e+05 1.1674467253429708e+06 1.6113623247041670e+06 1.8423254541149193e+06 1.7884181724515180e+06 1.5966439309148511e+06 1.4052279112373022e+06 1.2397577638472617e+06 1.0851846982685896e+06 9.4021840365489596e+05 8.0809321678822092e+05 6.8968336101658177e+05 5.8447122661568574e+05 4.9234092919037736e+05 4.1277640594145481e+05 3.4453367738731526e+05 2.8626731067383446e+05 2.3674016525213118e+05 1.9484709375264944e+05 1.5975553990121512e+05 1.3193117241684583e+05 1.1246455147400629e+05 9.5138106519249210e+04 7.6152340655711378e+04 5.9142969414520543e+04 4.5502856420524244e+04 3.4855836984065849e+04 2.6640222084178367e+04 2.0365808101025246e+04 1.5624259727964612e+04 1.2079831393575640e+04 9.4594929699760542e+03 7.5437496390008373e+03 6.1582722436846398e+03 5.1663738329304024e+03 4.4623245958050666e+03 3.9654991078013668e+03 3.6153277454993708e+03 3.3516247251288491e+03 3.1656783513745436e+03 3.0295960499743401e+03 2.9243395458204004e+03 2.8372123254522216e+03 2.7599807727466682e+03 2.6875051350869931e+03 2.6167648691444242e+03 2.5461788472900503e+03 2.4751182345918855e+03 2.4035733730704055e+03 2.3319579432997057e+03 2.2609452838369666e+03 2.1912220489280285e+03 2.1234574882986685e+03 2.0582982618807869e+03 1.9962471937147409e+03 1.9376945287539975e+03 1.8828771670990498e+03 1.8319481796898226e+03 1.7848823308194931e+03 1.7415904112497985e+03 1.7017827108125025e+03 1.6651009036439177e+03 1.6309512867663448e+03 1.5986536257484140e+03 1.5676277887380179e+03 1.5375557987947477e+03 1.5086023592358033e+03 1.4815153712114427e+03 1.4572415812190945e+03 1.4366822586453927e+03 1.4203039410883273e+03 1.4080637696021404e+03 1.3993787254101940e+03 1.3934089501899398e+03 1.3893077100422581e+03 1.3863246105608991e+03 1.3838738061678262e+03 1.3822513835460873e+03 1.3806542523014552e+03 1.3790424387016960e+03 1.3773611899352918e+03 1.3756290392738072e+03 1.3737963711864868e+03 1.3719159801435396e+03 1.3698322320319783e+03 1.3676021562687179e+03 1.3651846802139057e+03 1.3625477662995993e+03 1.3596524720297582e+03 1.3564549092318823e+03 1.3528937236045620e+03 1.3489682927276749e+03 1.3445414430741941e+03 1.3395781159935279e+03 1.3340062622738301e+03 1.3277483855327553e+03 1.3207245550327475e+03 1.3128545809015432e+03 1.3040514122390748e+03 1.2943195120601749e+03 1.2834991359490884e+03 1.2716229730455148e+03 1.2587184734418095e+03 1.2448868704564993e+03 1.2303003877408510e+03 1.2152868202829154e+03 1.2003354587182553e+03 1.1862383912327298e+03 1.1740096438947326e+03 1.1652183919467589e+03 1.1620576077899282e+03 1.1677095629304804e+03 1.1868098058060909e+03 1.2263826872363738e+03 1.2975489442575504e+03 1.4190342819200514e+03 2.3318000605473526e+03 +2.9578807008494093e-03 1.1864077398535745e+05 3.3223037592623191e+05 6.9740085473076894e+05 1.1662622496941944e+06 1.6099457539317813e+06 1.8411491293772564e+06 1.7878881625900415e+06 1.5968333570117445e+06 1.4060499507510646e+06 1.2411236519617813e+06 1.0870016801002382e+06 9.4238496950902569e+05 8.1051007984743326e+05 6.9225826619316358e+05 5.8711992279769212e+05 4.9499249133371178e+05 4.1537513453081669e+05 3.4703635596818407e+05 2.8864118294513965e+05 2.3896158003022402e+05 1.9690041690552136e+05 1.6163426982857290e+05 1.3365591981007659e+05 1.1410002616052768e+05 9.6678454304041225e+04 7.7523394839639426e+04 6.0321078518987633e+04 4.6497867389851293e+04 3.5685111280370824e+04 2.7322958499694254e+04 2.0921540696696014e+04 1.6071966350559733e+04 1.2437302841302071e+04 9.7429111616781611e+03 7.7674429900320129e+03 6.3346171841158530e+03 5.3058121482697898e+03 4.5734673001722977e+03 4.0552899785887553e+03 3.6892426858283570e+03 3.4131576933131264e+03 3.2184292436804662e+03 3.0761526897825693e+03 2.9665138464814777e+03 2.8762395882019027e+03 2.7966808173631439e+03 2.7224075662340888e+03 2.6502030339228700e+03 2.5783580636935931e+03 2.5061636769212514e+03 2.4335627359902805e+03 2.3609434918583734e+03 2.2889680780235608e+03 2.2183191302995192e+03 2.1496660176147898e+03 2.0836578111959393e+03 2.0207993535543428e+03 1.9614820484344048e+03 1.9059418820884027e+03 1.8543290311840092e+03 1.8066111659415210e+03 1.7626875595659662e+03 1.7222484196245928e+03 1.6849054555842436e+03 1.6500215967375329e+03 1.6168657820929968e+03 1.5848152882964032e+03 1.5535401423493361e+03 1.5232429313915165e+03 1.4947602048234426e+03 1.4691529139108677e+03 1.4474284994216900e+03 1.4301215557016033e+03 1.4172074064853327e+03 1.4080779793589879e+03 1.4018425959809083e+03 1.3975976654827414e+03 1.3945430283035303e+03 1.3920568897541832e+03 1.3904192755809727e+03 1.3888104639205194e+03 1.3871883212467590e+03 1.3854968777769743e+03 1.3837544112417222e+03 1.3819108135656770e+03 1.3800195046977551e+03 1.3779234296314485e+03 1.3756801637811627e+03 1.3732483897707912e+03 1.3705958819042216e+03 1.3676834681024677e+03 1.3644670000520723e+03 1.3608846911547028e+03 1.3569362622023259e+03 1.3524832454221528e+03 1.3474905831373192e+03 1.3418857988524840e+03 1.3355909396690952e+03 1.3285256031608276e+03 1.3206091249579204e+03 1.3117538727182111e+03 1.3019646696179543e+03 1.2910803618123819e+03 1.2791340321496261e+03 1.2661532912398452e+03 1.2522399716783120e+03 1.2375673147654463e+03 1.2224650508556110e+03 1.2074252987846162e+03 1.1932451317295083e+03 1.1809441371908574e+03 1.1721009433399602e+03 1.1689214137260929e+03 1.1746067373279050e+03 1.1938198126594489e+03 1.2336264478053813e+03 1.3052129713769411e+03 1.4274161105493267e+03 2.3606101176724774e+03 +2.9761108241868660e-03 1.1849995822152225e+05 3.3186043903335731e+05 6.9664916572953551e+05 1.1650771973864592e+06 1.6085252727138000e+06 1.8399619043634494e+06 1.7873389378876179e+06 1.5969967386842158e+06 1.4068408297534608e+06 1.2424546253030475e+06 1.0887815656001780e+06 9.4451386300756247e+05 8.1289010153348208e+05 6.9479832641782076e+05 5.8973669808866514e+05 4.9761569410187297e+05 4.1794942845155590e+05 3.4951867704651377e+05 2.9099875991570199e+05 2.4117061110931422e+05 1.9894501061228290e+05 1.6350758682804584e+05 1.3537820491488336e+05 1.1573580559439148e+05 9.8221864608923293e+04 7.8899898734164948e+04 6.1506375854543490e+04 4.7501163469224186e+04 3.6523205443492203e+04 2.8014581822942731e+04 2.1485859451808166e+04 1.6527689246478873e+04 1.2802043257378033e+04 1.0032754275697356e+04 7.9966875540852143e+03 6.5156623019613908e+03 5.4491599614700599e+03 4.6878132773878106e+03 4.1476746555839964e+03 3.7652414664870798e+03 3.4763323035649146e+03 3.2724777855391881e+03 3.1237463044597689e+03 3.0095319326798517e+03 2.9159698970946815e+03 2.8339824437011584e+03 2.7578385554818460e+03 2.6841167258395917e+03 2.6109734772755160e+03 2.5376151860200262e+03 2.4639341276346004e+03 2.3902910517992073e+03 2.3173355475630333e+03 2.2457453683395620e+03 2.1761894460878993e+03 2.1093188944707185e+03 2.0456402876686611e+03 1.9855459196801496e+03 1.9292705441725032e+03 1.8769610129909022e+03 1.8285772433035843e+03 1.7840059605248646e+03 1.7429156284152918e+03 1.7048854359853860e+03 1.6692313397048711e+03 1.6351672394853808e+03 1.6020243454431402e+03 1.5694599464531991e+03 1.5377181148917382e+03 1.5077319375468840e+03 1.4806866863011485e+03 1.4577053199450156e+03 1.4393965746135691e+03 1.4257557334897781e+03 1.4161478236173893e+03 1.4096272746201269e+03 1.4052289936524585e+03 1.4020990024983355e+03 1.3995766758535615e+03 1.3979241028832769e+03 1.3963041586447575e+03 1.3946723817541417e+03 1.3929715247501290e+03 1.3912195654146001e+03 1.3893659074751959e+03 1.3874646017809710e+03 1.3853571979745718e+03 1.3831018105847395e+03 1.3806568970271308e+03 1.3779900589466472e+03 1.3750619134046995e+03 1.3718280729385085e+03 1.3682263412465109e+03 1.3642568166171391e+03 1.3597797554443077e+03 1.3547601382234486e+03 1.3491250956145516e+03 1.3427962554985643e+03 1.3356927821588311e+03 1.3277335751460564e+03 1.3188304558576722e+03 1.3089886381997937e+03 1.2980455899189551e+03 1.2860347915234017e+03 1.2729840008384817e+03 1.2589956012592920e+03 1.2442437691173820e+03 1.2290600127388202e+03 1.2139390382671952e+03 1.1996825537362593e+03 1.1873151794665919e+03 1.1784242615017504e+03 1.1752274959935939e+03 1.1809434739253747e+03 1.2002602161143939e+03 1.2402816134061688e+03 1.3122542394253351e+03 1.4351168969323476e+03 2.3897759977361138e+03 +2.9944533041169345e-03 1.1835904689719052e+05 3.3149056432457746e+05 6.9589764012359106e+05 1.1638915731261750e+06 1.6071009408323430e+06 1.8387639375097172e+06 1.7867707547913517e+06 1.5971343894042580e+06 1.4076009005842665e+06 1.2437510367796184e+06 1.0905246806519192e+06 9.4660535920650605e+05 8.1523348686004290e+05 6.9730366598023917e+05 5.9232159090207703e+05 5.0021049163865100e+05 4.2049916359759157e+05 3.5198044770167390e+05 2.9333979159692192e+05 2.4336696456866842e+05 2.0098055071970692e+05 1.6537514956776242e+05 1.3709767652046963e+05 1.1737152410546949e+05 9.9767967199782550e+04 8.0281506709145717e+04 6.2698559336345133e+04 4.8512494542177803e+04 3.7369924289430630e+04 2.8714950819890062e+04 2.2058673001922765e+04 1.6991380608259140e+04 1.3174040721180349e+04 1.0329038068098644e+04 8.2315187174384409e+03 6.7014552823567474e+03 5.5964710199701112e+03 4.8054174017373243e+03 4.2427055537006636e+03 3.8433717238107010e+03 3.5411897139540442e+03 3.3278582903449037e+03 3.1724047238980338e+03 3.0534159374028973e+03 2.9564206551850484e+03 2.8718992978259157e+03 2.7938088652549691e+03 2.7185145483025667e+03 2.6440320989858860e+03 2.5694786028959415e+03 2.4946925221876363e+03 2.4200049408325226e+03 2.3460514951145014e+03 2.2735041419406739e+03 2.2030307836881448e+03 2.1352841801229047e+03 2.0707723274069799e+03 2.0098881191540829e+03 1.9528647321633348e+03 1.8998452288572241e+03 1.8507810638101957e+03 1.8055453051343620e+03 1.7637828846695140e+03 1.7250377202277405e+03 1.6885749181478600e+03 1.6535488118840501e+03 1.6192408153745530e+03 1.5852946931988511e+03 1.5519998883465453e+03 1.5203945168878822e+03 1.4917990531742353e+03 1.4674620242849310e+03 1.4480728500150574e+03 1.4336486823099369e+03 1.4235256625455440e+03 1.4166989513340231e+03 1.4121369607987247e+03 1.4089275372242839e+03 1.4063681281367444e+03 1.4047008635751577e+03 1.4030703929609278e+03 1.4014297464977872e+03 1.3997203342486337e+03 1.3979597860400277e+03 1.3960970225932165e+03 1.3941867309591248e+03 1.3920690945149681e+03 1.3898027589103033e+03 1.3873459778023857e+03 1.3846661971565632e+03 1.3817238437387057e+03 1.3784743139793447e+03 1.3748550268335939e+03 1.3708664950182199e+03 1.3663677203013810e+03 1.3613237617699224e+03 1.3556613950539263e+03 1.3493018697670375e+03 1.3421639590631423e+03 1.3341661685947799e+03 1.3252198122788461e+03 1.3153305276227038e+03 1.3043344389745566e+03 1.2922654284415948e+03 1.2791513864558144e+03 1.2650951939853610e+03 1.2502718716643769e+03 1.2350145329808784e+03 1.2198202070038208e+03 1.2054948515463711e+03 1.1930675401878018e+03 1.1841335293610448e+03 1.1809211856484674e+03 1.1866648377672250e+03 1.2060751827579038e+03 1.2462904890157333e+03 1.3186117047286027e+03 1.4420698839040692e+03 2.4193020928981509e+03 +3.0129088331200585e-03 1.1821803752232870e+05 3.3112074679499300e+05 6.9514627824409259e+05 1.1627054094958366e+06 1.6056728106052512e+06 1.8375553743156525e+06 1.7861838736664301e+06 1.5972466333862236e+06 1.4083305123580520e+06 1.2450132376906399e+06 1.0922313514415857e+06 9.4865973502992420e+05 8.1754044468967780e+05 6.9977441482608940e+05 5.9487464695142163e+05 5.0277684652585507e+05 4.2302422503334365e+05 3.5442148446680064e+05 2.9566403728257591e+05 2.4555035520259663e+05 2.0300672087374589e+05 1.6723662332921627e+05 1.3881398869706847e+05 1.1900681989581502e+05 1.0131639397107773e+05 8.1667873222392212e+04 6.3897325025888218e+04 4.9531607023641925e+04 3.8225067971794015e+04 2.9423918856886085e+04 2.2639884291615348e+04 1.7462987043738656e+04 1.3553278155681306e+04 1.0631773797048336e+04 8.4719681610348962e+03 6.8920409416042085e+03 5.7477970065091067e+03 4.9263331978232009e+03 4.3404343288520222e+03 3.9236807870878547e+03 3.6077711105391186e+03 3.3846052986642794e+03 3.2221560982043902e+03 3.0981883327707851e+03 2.9976095783433771e+03 2.9104452898648292e+03 2.8303294665560620e+03 2.7534052604726749e+03 2.6775410498224487e+03 2.6017598413031460e+03 2.5258429370391250e+03 2.4500894966664346e+03 2.3751197248182734e+03 2.3015988160463057e+03 2.2301930127016699e+03 2.1615562955889286e+03 2.0961977491025837e+03 2.0345105524278040e+03 1.9767259341264473e+03 1.9229826663606191e+03 1.8732229777160110e+03 1.8273050850885861e+03 1.7848484654600120e+03 1.7453588071353904e+03 1.7080461994357506e+03 1.6720005473927392e+03 1.6364494689978812e+03 1.6010223724287766e+03 1.5660582595256012e+03 1.5327094089437123e+03 1.5024431938083208e+03 1.4766445075285283e+03 1.4560904806663202e+03 1.4408221838116467e+03 1.4301447403812117e+03 1.4229893406832359e+03 1.4182525386953921e+03 1.4149593258517718e+03 1.4123618973274818e+03 1.4106802452411830e+03 1.4090399167348216e+03 1.4073912397779104e+03 1.4056742128088929e+03 1.4039060658732596e+03 1.4020352427645437e+03 1.4001170719340003e+03 1.3979904033291864e+03 1.3957144045577020e+03 1.3932471490170319e+03 1.3905559455852065e+03 1.3876010532481575e+03 1.3843376775751901e+03 1.3807028802424679e+03 1.3766976281708005e+03 1.3721796926699665e+03 1.3671142552800250e+03 1.3614277780279317e+03 1.3550411770984022e+03 1.3478728806891977e+03 1.3398410467607557e+03 1.3308565243434764e+03 1.3209254098935676e+03 1.3098825236248288e+03 1.2977621531592861e+03 1.2845923055391145e+03 1.2704763010063405e+03 1.2555899051398565e+03 1.2402676473252816e+03 1.2250085901332484e+03 1.2106225188120752e+03 1.1981423263207846e+03 1.1891702947693088e+03 1.1859441884873434e+03 1.1917122509977057e+03 1.2112051766984810e+03 1.2515915536837103e+03 1.3242202756295399e+03 1.4482038874282916e+03 2.4491928494874869e+03 +3.0314781079446040e-03 1.1807692798653430e+05 3.3075098316570447e+05 6.9439508369994513e+05 1.1615187277152271e+06 1.6042409626891827e+06 1.8363363799043552e+06 1.7855785421271799e+06 1.5973337868214976e+06 1.4090300123650909e+06 1.2462415779467763e+06 1.0939019050084518e+06 9.5067726900787803e+05 8.1981118763614609e+05 7.0221070836327749e+05 5.9739591905615211e+05 5.0531472960397403e+05 4.2552450682474067e+05 3.5684161320009193e+05 2.9797126546446735e+05 2.4772050648541690e+05 2.0502321253807799e+05 1.6909168007757122e+05 1.4052680091528749e+05 1.2064133521270660e+05 1.0286677917036443e+05 8.3058653075914641e+04 6.5102367394568821e+04 5.0558244108433384e+04 3.9088432197366077e+04 3.0141334070262055e+04 2.3229390690822973e+04 1.7942449637560137e+04 1.3939733337667478e+04 1.0940968189774352e+04 8.7180637948712701e+03 7.0874611406847598e+03 5.9031874433428866e+03 5.0506127453143063e+03 4.4409117906819192e+03 4.0062156039726101e+03 3.6761176486256418e+03 3.4427535350783614e+03 3.2730288680655535e+03 3.1438719109625986e+03 3.0395546837198340e+03 2.9496345873039240e+03 2.8674115350513653e+03 2.7887977747133609e+03 2.7115075587843462e+03 2.6344648856457716e+03 2.5573904304268390e+03 2.4805490742924239e+03 2.4045440391687303e+03 2.3300327381147422e+03 2.2576790837523090e+03 2.1881378228571534e+03 2.1219187690105464e+03 2.0594150482151949e+03 2.0008555406753674e+03 1.9463741889461835e+03 1.8959031749521698e+03 1.8492845805972140e+03 1.8061103615987950e+03 1.7658447976560519e+03 1.7276384863413764e+03 1.6905116869881626e+03 1.6536339355370990e+03 1.6166194038852668e+03 1.5798611637090717e+03 1.5446354715543125e+03 1.5125691608791340e+03 1.4851950834763841e+03 1.4633856227973895e+03 1.4472079668919289e+03 1.4359339323627732e+03 1.4284256932935969e+03 1.4235021892559610e+03 1.4201205348738042e+03 1.4174841049442566e+03 1.4157884087845848e+03 1.4141389572657140e+03 1.4124831682046827e+03 1.4107595546581138e+03 1.4089848909895622e+03 1.4071071511097575e+03 1.4051823099344126e+03 1.4030479208411618e+03 1.4007636629742503e+03 1.3982874551483474e+03 1.3955864894669994e+03 1.3926208817365361e+03 1.3893456742496103e+03 1.3856976015514983e+03 1.3816781275369340e+03 1.3771438204214396e+03 1.3720600317084165e+03 1.3663529550838743e+03 1.3599432222961018e+03 1.3527489670360055e+03 1.3446880500536024e+03 1.3356709021645800e+03 1.3257041167445614e+03 1.3146212536807996e+03 1.3024570099903767e+03 1.2892394918625228e+03 1.2750723951065847e+03 1.2601321216880260e+03 1.2447544101034130e+03 1.2294400403223865e+03 1.2150021629828402e+03 1.2024767986843717e+03 1.1934722882216331e+03 1.1902344032704343e+03 1.1960233102001609e+03 1.2155867739170956e+03 1.2561192686929012e+03 1.3290106095146316e+03 1.4534430746310773e+03 2.4794527686689526e+03 +3.0501618296331630e-03 1.1793571713053242e+05 3.3038127320477879e+05 6.9364405816998915e+05 1.1603315282138572e+06 1.6028054800518602e+06 1.8351071127914099e+06 1.7849550191108654e+06 1.5973961711669543e+06 1.4096997483568941e+06 1.2474364068362110e+06 1.0955366677129888e+06 9.5265824152143148e+05 8.2204593201425462e+05 7.0461268734119285e+05 5.9988546694110858e+05 5.0782411978996452e+05 4.2799991187157540e+05 3.5924066894797288e+05 3.0026125373930088e+05 2.4987715053080485e+05 2.0702972500440569e+05 1.7093999852333058e+05 1.4223577815698227e+05 1.2227471651349330e+05 1.0441875961608690e+05 8.4453501666229422e+04 6.6313379582860085e+04 5.1592146018513093e+04 3.9959808443722337e+04 3.0867039540435846e+04 2.3827084117382317e+04 1.8429704019771711e+04 1.4333378915498541e+04 1.1256623416485292e+04 8.9698296982919492e+03 7.2877547034554518e+03 6.0626895995217710e+03 5.1783065852740947e+03 4.5441878155605018e+03 4.0910226651904741e+03 3.7462703927168664e+03 3.5023378634115429e+03 3.3250517334954498e+03 3.1904897637358199e+03 3.0822742770193049e+03 2.9894816073859120e+03 2.9050664465062114e+03 2.8247011535633683e+03 2.7459389604290091e+03 2.6675997886244991e+03 2.5893400988643689e+03 2.5113880430732393e+03 2.4343282357230919e+03 2.3588092344071574e+03 2.2854919116386891e+03 2.2150312938012003e+03 2.1479375380632600e+03 2.0846033523771080e+03 2.0252548380255398e+03 1.9700205276940783e+03 1.9188216750837316e+03 1.8714828477635365e+03 1.8275662612300750e+03 1.7864913727744522e+03 1.7473444865240447e+03 1.7090706218175660e+03 1.6707766431905718e+03 1.6320605567622217e+03 1.5933743587289173e+03 1.5561288233775958e+03 1.5221237245544373e+03 1.4930523069323428e+03 1.4698902951163871e+03 1.4527333510935703e+03 1.4408175293776160e+03 1.4329305759842614e+03 1.4278076424758549e+03 1.4243325810549418e+03 1.4216561203370666e+03 1.4199467655984624e+03 1.4182889966642028e+03 1.4166270983229003e+03 1.4148980195952215e+03 1.4131180189480269e+03 1.4112346084729570e+03 1.4093044144804855e+03 1.4071637349155426e+03 1.4048727487009317e+03 1.4023892480687705e+03 1.3996803304870721e+03 1.3967059954009624e+03 1.3934211519035498e+03 1.3897622404054835e+03 1.3857312677450825e+03 1.3811836297973198e+03 1.3760848994267324e+03 1.3703610513316287e+03 1.3639324862277317e+03 1.3567170982969799e+03 1.3486325061199832e+03 1.3395887733084523e+03 1.3295930309085470e+03 1.3184776271337287e+03 1.3062776722463461e+03 1.2930213525424615e+03 1.2788126699488741e+03 1.2638285444596645e+03 1.2484056982513832e+03 1.2330462841961555e+03 1.2185663140118149e+03 1.2060041826257007e+03 1.1969732349516362e+03 1.1937257343211515e+03 1.1995315980857763e+03 1.2191524708718184e+03 1.2598038797838360e+03 1.3329089035551406e+03 1.4577067349579836e+03 2.5100864071196656e+03 +3.0689607035490202e-03 1.1779440032079107e+05 3.3001161685212946e+05 6.9289320135653287e+05 1.1591438491705419e+06 1.6013664050501809e+06 1.8338677517960705e+06 1.7843135537167685e+06 1.5974340885183415e+06 1.4103400604646963e+06 1.2485980730781800e+06 1.0971359660427268e+06 9.5460293474002206e+05 8.2424489782140497e+05 7.0698049773939373e+05 6.0234335704818624e+05 5.1030500389719044e+05 4.3045035173832806e+05 3.6161849580552196e+05 3.0253378871608875e+05 2.5202002804578925e+05 2.0902596539747753e+05 1.7278126417653891e+05 1.4394059101869044e+05 1.2390661462210149e+05 1.0597197490654908e+05 8.5852075228313261e+04 6.7530053656597302e+04 5.2633050249934458e+04 4.0838984178295628e+04 3.1600873469932278e+04 2.4432851165331038e+04 1.8924680441461875e+04 1.4734182434109029e+04 1.1578737071442678e+04 9.2272860664389791e+03 7.4929573395320012e+03 6.2263484014073965e+03 5.3094636281848525e+03 4.6503112600495597e+03 4.1781479287206030e+03 3.8182702551998018e+03 3.5633932404338825e+03 3.3782536210235990e+03 3.2380652605102619e+03 3.1257869386343787e+03 3.0300010086190478e+03 2.9433057715147384e+03 2.8611246062003929e+03 2.7808426920739025e+03 2.7011706685760319e+03 2.6216970743263178e+03 2.5426107836223227e+03 2.4644761036099699e+03 2.3879316060914202e+03 2.3136343709954454e+03 2.2422391853343761e+03 2.1742561364044532e+03 2.1100771217059205e+03 2.0499250007831606e+03 1.9939222727807694e+03 1.9419783169093187e+03 1.8938987055274920e+03 1.8492135328453633e+03 1.8072937706655969e+03 1.7671562809606037e+03 1.7276648490623143e+03 1.6878587578370900e+03 1.6473188666738695e+03 1.6065613166743076e+03 1.5671427088888233e+03 1.5310502118141324e+03 1.5001507905820588e+03 1.4755321779204664e+03 1.4573210329885492e+03 1.4447150161620521e+03 1.4364216453252070e+03 1.4310856677550664e+03 1.4275119019219294e+03 1.4247943310828978e+03 1.4230717480939941e+03 1.4214065425865690e+03 1.4197396275870681e+03 1.4180063042441734e+03 1.4162222503276230e+03 1.4143345252677564e+03 1.4124004115401410e+03 1.4102549973675475e+03 1.4079589482541796e+03 1.4054699603259742e+03 1.4027550604972209e+03 1.3997741610289379e+03 1.3964820705344398e+03 1.3928149713318223e+03 1.3887754625581788e+03 1.3842178021147595e+03 1.3791078397570677e+03 1.3733713848962318e+03 1.3669286653156285e+03 1.3596973955224000e+03 1.3515950118110429e+03 1.3425312662143224e+03 1.3325138711631816e+03 1.3213740170012227e+03 1.3091472310486188e+03 1.2958617589958671e+03 1.2816218333244776e+03 1.2666047632870691e+03 1.2511480094776080e+03 1.2357547229827690e+03 1.2212432273469080e+03 1.2086534730443593e+03 1.1996026614158675e+03 1.1963478985311565e+03 1.2021664895606830e+03 1.2218304874002213e+03 1.2625712134815938e+03 1.3358366792154957e+03 1.4609090445096735e+03 2.5410983777116644e+03 +3.0878754394027823e-03 1.1765297846502106e+05 3.2964201131524192e+05 6.9214251600205002e+05 1.1579557002655286e+06 1.5999238062297953e+06 1.8326184077130791e+06 1.7836543900458787e+06 1.5974478506000650e+06 1.4109512842693310e+06 1.2497269229701723e+06 1.0987001268184979e+06 9.5651163242818927e+05 8.2640830859298864e+05 7.0931429061411868e+05 6.0476966235288640e+05 5.1275737643755745e+05 4.3287574649029493e+05 3.6397494677194388e+05 3.0478866591899621e+05 2.5414888827934125e+05 2.1101164867286678e+05 1.7461516939331873e+05 1.4564091580673386e+05 1.2553668487767600e+05 1.0752606762215153e+05 8.7254031073743521e+04 6.8752080858294124e+04 5.3680691817437269e+04 4.1725743078836022e+04 3.2342669365054884e+04 2.5046573238768946e+04 1.9427303857085204e+04 1.5142106367318727e+04 1.1907302160886906e+04 9.4904491628890682e+03 7.7031015721525964e+03 6.3942063466504387e+03 5.4441310640047150e+03 4.7593298750255790e+03 4.2676367436289538e+03 3.8921579339801069e+03 3.6259546681038537e+03 3.4326636493558094e+03 3.2866220250823094e+03 3.1701115085896481e+03 3.0712076813357467e+03 2.9821412695557656e+03 2.8980774843931854e+03 2.8162262906150027e+03 2.7351837065299055e+03 2.6544665212035306e+03 2.5742216844836398e+03 2.4949914198484266e+03 2.4174031251524134e+03 2.3421092917599117e+03 2.2697639143618580e+03 2.2008765677214587e+03 2.1358379174802762e+03 2.0748670844891467e+03 2.0180798646298556e+03 1.9653727477097000e+03 1.9165307221503051e+03 1.8710492077162339e+03 1.8282467630779433e+03 1.7870652913352694e+03 1.7462809263646093e+03 1.7048601197783521e+03 1.6623655500197658e+03 1.6193831122952577e+03 1.5776273593195333e+03 1.5392883409956298e+03 1.5064210165101706e+03 1.4802344063698743e+03 1.4608888663819421e+03 1.4475408431013491e+03 1.4388114146707205e+03 1.4332478386277917e+03 1.4295697196551209e+03 1.4268099067715423e+03 1.4250745736183312e+03 1.4234028923775061e+03 1.4217321487605259e+03 1.4199959067347172e+03 1.4182091936976612e+03 1.4163186267532155e+03 1.4143821491387935e+03 1.4122336899183326e+03 1.4099343864673715e+03 1.4074418718966754e+03 1.4047231287203335e+03 1.4017380136931238e+03 1.3984412704908978e+03 1.3947688625935407e+03 1.3907240343977128e+03 1.3861599440454313e+03 1.3810427781012554e+03 1.3752982390001559e+03 1.3688464446862872e+03 1.3616049949636460e+03 1.3534912088727983e+03 1.3444145873957464e+03 1.3343834711932532e+03 1.3232279520361315e+03 1.3109839780635364e+03 1.2976798318828539e+03 1.2834198944602169e+03 1.2683817244824190e+03 1.2529032546273907e+03 1.2374882274318825e+03 1.2229566812634416e+03 1.2103492338118142e+03 1.2012856962135656e+03 1.1980262268223914e+03 1.2038529522139563e+03 1.2235445639416710e+03 1.2643424675640279e+03 1.3377105605577178e+03 1.4629588235990652e+03 2.5724933502052713e+03 +3.1069067512791708e-03 1.1751144681726991e+05 3.2927245373662643e+05 6.9139200644882524e+05 1.1567670919792503e+06 1.5984777595535431e+06 1.8313592660325253e+06 1.7829777653133215e+06 1.5974377609093615e+06 1.4115337566769079e+06 1.2508233008416963e+06 1.1002294761253661e+06 9.5838461997261457e+05 8.2853639100555971e+05 7.1161422189875075e+05 6.0716446217211522e+05 5.1518123942654714e+05 4.3527602452735644e+05 3.6630988360612490e+05 3.0702568968858366e+05 2.5626348896518096e+05 2.1298649760870094e+05 1.7644141341616932e+05 1.4733643462565928e+05 1.2716458727566103e+05 1.0908068351937427e+05 8.8659027821918411e+04 6.9979151854724289e+04 5.4734803497874411e+04 4.2619865254299788e+04 3.3092256220556555e+04 2.5668126690786401e+04 1.9937494013320516e+04 1.5557108157212167e+04 1.2242307098013804e+04 9.7593312784219816e+03 7.9182166710330284e+03 6.5663034217656495e+03 5.5823542743853277e+03 4.8712902206900408e+03 4.3595337737009750e+03 3.9679738491543744e+03 3.6900571444558191e+03 3.4883110935751602e+03 3.3361839109544339e+03 3.2152670703351409e+03 3.1131167373430858e+03 3.0215848823251522e+03 2.9355692779163082e+03 2.8520973889419033e+03 2.7696451429599633e+03 2.6876536329988471e+03 2.6062251385926807e+03 2.5258779454718328e+03 2.4472270301344643e+03 2.3709194544542083e+03 2.2976078325345688e+03 2.2278007533765954e+03 2.1618871987799662e+03 2.1000820178705076e+03 2.0424935847656311e+03 1.9890044121099622e+03 1.9393772012513696e+03 1.8930699617487730e+03 1.8493446309444764e+03 1.8070622463807470e+03 1.7649044248137486e+03 1.7217591785342588e+03 1.6771699157661412e+03 1.6317983081052741e+03 1.5875298495711577e+03 1.5467740516271144e+03 1.5117891423926351e+03 1.4839153579712297e+03 1.4633496363866880e+03 1.4492041916930834e+03 1.4400070147342497e+03 1.4342002909899934e+03 1.4304117984483823e+03 1.4276085562585945e+03 1.4258610018500131e+03 1.4241838906776775e+03 1.4225106077902260e+03 1.4207728848580923e+03 1.4189850240890405e+03 1.4170932118210426e+03 1.4151560564760671e+03 1.4130063836865045e+03 1.4107057863625541e+03 1.4082118704860832e+03 1.4054916025118303e+03 1.4025048180246220e+03 1.3992062342939200e+03 1.3955316386415250e+03 1.3914849774924535e+03 1.3869183515481541e+03 1.3817983487333934e+03 1.3760506277382269e+03 1.3695952650450677e+03 1.3623498161827333e+03 1.3542315534329020e+03 1.3451497924623864e+03 1.3351135523352073e+03 1.3239518913688505e+03 1.3117011822366933e+03 1.2983897200952504e+03 1.2841219454427030e+03 1.2690755148210028e+03 1.2535885442978567e+03 1.2381649270552971e+03 1.2236257685797154e+03 1.2110113916353223e+03 1.2019428654961223e+03 1.1986814601043475e+03 1.2045113412953037e+03 1.2242137531597341e+03 1.2650339957287438e+03 1.3384420464149778e+03 1.4637592875928656e+03 2.6042760519483768e+03 +3.1260553576639826e-03 1.1736980446334122e+05 3.2890294894122437e+05 6.9064167058173195e+05 1.1555780339024886e+06 1.5970283250125668e+06 1.8300904514121932e+06 1.7822839346123508e+06 1.5974041205086438e+06 1.4120878175638341e+06 1.2518875489774260e+06 1.1017243400996239e+06 9.6022218409748608e+05 8.3062937446678011e+05 7.1388045217503840e+05 6.0952784195685945e+05 5.1757660218065360e+05 4.3765112242126826e+05 3.6862317668451008e+05 3.0924467307823838e+05 2.5836359626060340e+05 2.1495024279140998e+05 1.7825970240658568e+05 1.4902683545842770e+05 1.2878998660029020e+05 1.1063547171713941e+05 9.0066725624768471e+04 7.1210956979590526e+04 5.5795116071073549e+04 4.3521127466645063e+04 3.3849458707400976e+04 2.6297382967345715e+04 2.0455165543979543e+04 1.5979140260278989e+04 1.2583735704728428e+04 1.0033940696062133e+04 8.1383285903745682e+03 6.7426770235438771e+03 5.7241767472668171e+03 4.9862375826445850e+03 4.4538829211234151e+03 4.0457580788835239e+03 3.7557356132401096e+03 3.5452253479407141e+03 3.3867749753081534e+03 3.2612729333479374e+03 3.1557434986219105e+03 3.0616487263474032e+03 2.9736096094334730e+03 2.8884637119445129e+03 2.8045612742099206e+03 2.7212636287844571e+03 2.6386255395277863e+03 2.5571394214653783e+03 2.4774065216718932e+03 2.4000675852685918e+03 2.3257732208061680e+03 2.2550305263035934e+03 2.1882263155718933e+03 2.1255705948667414e+03 2.0671635463582998e+03 2.0128725405978764e+03 1.9624361673890721e+03 1.9152720967584348e+03 1.8705811392221926e+03 1.8271371471763864e+03 1.7835198805040691e+03 1.7385329256917203e+03 1.6916992746623814e+03 1.6437628362018315e+03 1.5967939511156039e+03 1.5534393295612854e+03 1.5161768024171463e+03 1.4864884343353735e+03 1.4646108274479664e+03 1.4496087337534359e+03 1.4399099477917123e+03 1.4338434748763289e+03 1.4299381954093499e+03 1.4270902784530626e+03 1.4253310857338117e+03 1.4236496805942770e+03 1.4219752552425343e+03 1.4202376078060654e+03 1.4184502350261369e+03 1.4165589053629722e+03 1.4146228966403710e+03 1.4124739922688386e+03 1.4101742226437188e+03 1.4076812054531276e+03 1.4049619217567254e+03 1.4019762231352349e+03 1.3986788421365784e+03 1.3950054362494277e+03 1.3909607147329634e+03 1.3863957675045349e+03 1.3812776533473527e+03 1.3755320556211573e+03 1.3690790833443616e+03 1.3618363239850330e+03 1.3537210793587849e+03 1.3446425510694680e+03 1.3346104902768125e+03 1.3234529931577260e+03 1.3112068605767952e+03 1.2979003738790768e+03 1.2836379368228068e+03 1.2685971397727410e+03 1.2531159697802548e+03 1.2376979937557373e+03 1.2231646828411062e+03 1.2105550244424112e+03 1.2014898829339875e+03 1.1982295398123474e+03 1.2040571892229086e+03 1.2237522060084655e+03 1.2645570865305210e+03 1.3379372764947364e+03 1.4632077911350732e+03 2.6364512685864911e+03 +3.1453219814712129e-03 1.1722804814557359e+05 3.2853348707984242e+05 6.8989151161444024e+05 1.1543885684123419e+06 1.5955755557017485e+06 1.8288121327842621e+06 1.7815731198146304e+06 1.5973472310196166e+06 1.4126138012183262e+06 1.2529200076596516e+06 1.1031850451848186e+06 9.6202461223069613e+05 8.3268749099303666e+05 7.1611314647470217e+05 6.1185989307381224e+05 5.1994348112531868e+05 4.4000098474754283e+05 3.7091470485971996e+05 3.1144543774802744e+05 2.6044898468123001e+05 2.1690262259505104e+05 1.8006974947130642e+05 1.5071181223960035e+05 1.3041255255006756e+05 1.1219008487499060e+05 9.1476786384897423e+04 7.2447186471655034e+04 5.6861358558496409e+04 4.4429303352178205e+04 3.4614097362764951e+04 2.6934208755391701e+04 2.0980228071008463e+04 1.6408150200357799e+04 1.2931567220205887e+04 1.0314281662373451e+04 8.3634599121260799e+03 6.9233618843875647e+03 5.8696399940396395e+03 5.1042158892406214e+03 4.5507272503187432e+03 4.1255502946149027e+03 3.8230249123820518e+03 3.6034358873090764e+03 3.4384194516617417e+03 3.3081486145935105e+03 3.1991034850761921e+03 3.1023450848486796e+03 3.0122082288045635e+03 2.9253330720972308e+03 2.8399384486050840e+03 2.7553017493810289e+03 2.6714272775185523e+03 2.5887795644835928e+03 2.5079447578442268e+03 2.4295563509739850e+03 2.3542622837993226e+03 2.2825676247117372e+03 2.2148565015696508e+03 2.1513334663601681e+03 2.0920896844785320e+03 2.0369761376691433e+03 1.9857053511933332e+03 1.9376515211661410e+03 1.8919495109633974e+03 1.8472792313776133e+03 1.8021107446446013e+03 1.7551568258086586e+03 1.7059188458859617e+03 1.6552298768402611e+03 1.6053599809461321e+03 1.5592120274983672e+03 1.5195009030096735e+03 1.4878618372735766e+03 1.4645743854054715e+03 1.4486523844423155e+03 1.4384158355880475e+03 1.4320718999135265e+03 1.4280430050992256e+03 1.4251491067581835e+03 1.4233789160618878e+03 1.4216944485139554e+03 1.4200203913918670e+03 1.4182845015628172e+03 1.4164993842471333e+03 1.4146104043200885e+03 1.4126775130097335e+03 1.4105315185339930e+03 1.4082348688958266e+03 1.4057452354550137e+03 1.4030296470081807e+03 1.4000480112767236e+03 1.3967551211422856e+03 1.3930865544285889e+03 1.3890478483060583e+03 1.3844891331903234e+03 1.3793780134269437e+03 1.3736402709807578e+03 1.3671961273514232e+03 1.3599632842879098e+03 1.3518591555701908e+03 1.3427929058501752e+03 1.3327750757997162e+03 1.3216328773333980e+03 1.3094035430979739e+03 1.2961153121528221e+03 1.2818724474935939e+03 1.2668522960837806e+03 1.2513923784139054e+03 1.2359954199498725e+03 1.2214824990393299e+03 1.2088901443657439e+03 1.1998374343259659e+03 1.1965813930987342e+03 1.2024009897329518e+03 1.2220689523551466e+03 1.2628177366886291e+03 1.3360967915295278e+03 1.4611955658379984e+03 2.6690238447807628e+03 +3.1647073500703483e-03 1.1708617698048300e+05 3.2816407111253892e+05 6.8914153191542695e+05 1.1531986806665789e+06 1.5941195284198867e+06 1.8275244519431198e+06 1.7808455548477387e+06 1.5972673883710308e+06 1.4131120320479111e+06 1.2539210175688490e+06 1.1046119167172236e+06 9.6379219234852318e+05 8.3471097532186785e+05 7.1831247411575844e+05 6.1416071260436135e+05 5.2228189961803606e+05 4.4232556391686236e+05 3.7318435532401816e+05 3.1362781385245651e+05 2.6251943703035277e+05 2.1884338315580058e+05 1.8187127468169818e+05 1.5239106492236475e+05 1.3203195985479892e+05 1.1374417936417712e+05 9.2888873966990723e+04 7.3687530707617116e+04 5.7933258459051125e+04 4.5344163642968568e+04 3.5385988782191947e+04 2.7578466135300809e+04 2.1512586310887480e+04 1.6844080627970859e+04 1.3285776316105430e+04 1.0600354364962688e+04 8.5936297945730403e+03 7.1083900017677952e+03 6.0187834695052507e+03 5.2252676304257548e+03 4.6501089121657942e+03 4.2073896957737579e+03 3.8919597214178821e+03 3.6629722272790300e+03 3.4911417212522142e+03 3.3559138188252587e+03 3.2432124013271527e+03 3.1436863988834830e+03 3.0513750068357999e+03 2.9627133646168008e+03 2.8757830622222091e+03 2.7897732532797318e+03 2.7046347352654288e+03 2.6208020623780853e+03 2.5388448493306837e+03 2.4593883536103863e+03 2.3830771439573768e+03 2.3104136855693382e+03 2.2417788668493326e+03 2.1773711316790873e+03 2.1172717460228409e+03 2.0613139696058925e+03 2.0091821740477603e+03 1.9602037301025221e+03 1.9134424006136485e+03 1.8674769364337465e+03 1.8206593322529770e+03 1.7716047453911824e+03 1.7197916611620940e+03 1.6661497337955227e+03 1.6131646466126995e+03 1.5640156809347250e+03 1.5216734134418973e+03 1.4879383393701755e+03 1.4631364736855674e+03 1.4462270492433511e+03 1.4354141610848526e+03 1.4287738745420813e+03 1.4246140978377148e+03 1.4216728472516111e+03 1.4198923598181264e+03 1.4182061626880020e+03 1.4165341050905565e+03 1.4148017880817561e+03 1.4130208332037769e+03 1.4111362175292268e+03 1.4092085694640639e+03 1.4070677952220633e+03 1.4047767386060875e+03 1.4022931699300759e+03 1.3995842014632353e+03 1.3966098403804272e+03 1.3933249885022310e+03 1.3896651982305543e+03 1.3856369042594386e+03 1.3810893336616380e+03 1.3759907165834813e+03 1.3702670133609181e+03 1.3638386442147687e+03 1.3566235140130884e+03 1.3485392374309620e+03 1.3394950254737903e+03 1.3295022696804194e+03 1.3183873825451367e+03 1.3061880320174125e+03 1.2929323841502949e+03 1.2787244489561836e+03 1.2637411387950908e+03 1.2483191434459654e+03 1.2329597912518907e+03 1.2184829489854590e+03 1.2059214754268694e+03 1.1968909569450325e+03 1.1936427127746908e+03 1.1994479767540699e+03 1.2190676762328073e+03 1.2597164188456825e+03 1.3328152875588739e+03 1.4576074515665096e+03 2.7019986849345855e+03 +3.1842121953138264e-03 1.1694418778410778e+05 3.2779469445050060e+05 6.8839172929594049e+05 1.1520084203099634e+06 1.5926602935991080e+06 1.8262275539465731e+06 1.7801014768616590e+06 1.5971648876894782e+06 1.4135828360897524e+06 1.2548909177858732e+06 1.1060052787170203e+06 9.6552521365007188e+05 8.3670006496017263e+05 7.2047860855788249e+05 6.1643040317301580e+05 5.2459188777749590e+05 4.4462481999858795e+05 3.7543202346887218e+05 3.1579163992638397e+05 2.6457474432456214e+05 2.2077227833927554e+05 1.8366400508720212e+05 1.5406429953643802e+05 1.3364788838554680e+05 1.1529741543029410e+05 9.4302654401924228e+04 7.4931680429806423e+04 5.9010541981862567e+04 4.6265476387502247e+04 3.6164945813466227e+04 2.8230012736908917e+04 2.2052140186528373e+04 1.7286869385923990e+04 1.3646333118306715e+04 1.0892154916225969e+04 8.8288539263139919e+03 7.2977905719120054e+03 6.1716444947354603e+03 5.3494337782069315e+03 4.7520690687551023e+03 4.2913149441200912e+03 3.9625745079797193e+03 3.7238638831552666e+03 3.5449662831272690e+03 3.4045884177425328e+03 3.2880861225663089e+03 3.1856852576970564e+03 3.0911199284375689e+03 3.0006125621698948e+03 2.9121015543214735e+03 2.8246834122867417e+03 2.7382522834820093e+03 2.6532105695074119e+03 2.5701098543534677e+03 2.4895661250074554e+03 2.4122198355125961e+03 2.3385702378791420e+03 2.2689943902432315e+03 2.2036839297966326e+03 2.1427092793536385e+03 2.0858845518924500e+03 2.0328637323099392e+03 1.9829237849505118e+03 1.9350518665435159e+03 1.8877178617348709e+03 1.8391467694399223e+03 1.7878488799627223e+03 1.7332784663723464e+03 1.6764697065512678e+03 1.6201408874124570e+03 1.5677693196449072e+03 1.5226011514118989e+03 1.4866150490774903e+03 1.4601872237593502e+03 1.4422183649972012e+03 1.4307880041636777e+03 1.4238312391421512e+03 1.4195328518891970e+03 1.4165428107715263e+03 1.4147527924120066e+03 1.4130663057115348e+03 1.4113980065357364e+03 1.4096712183736643e+03 1.4078964804847067e+03 1.4060183994968008e+03 1.4040982845198630e+03 1.4019652194904124e+03 1.3996824201423162e+03 1.3972078045388021e+03 1.3945086069151912e+03 1.3915449805598785e+03 1.3882719886011519e+03 1.3846252165759915e+03 1.3806120710816906e+03 1.3760809372044907e+03 1.3710007569606792e+03 1.3652977549975853e+03 1.3588926431659888e+03 1.3517036251495333e+03 1.3436486123315619e+03 1.3346369519309249e+03 1.3246809518759412e+03 1.3136063174429376e+03 1.3014511553290758e+03 1.2882435254993118e+03 1.2740870640727780e+03 1.2591580428241300e+03 1.2437919285244247e+03 1.2284880538627024e+03 1.2140641914260111e+03 1.2015482260227218e+03 1.1925504137376979e+03 1.1893137321175382e+03 1.1950978981127935e+03 1.2146464858458921e+03 1.2551478439061752e+03 1.3279813644719964e+03 1.4523216214502154e+03 2.7353807539289346e+03 +3.2038372535646664e-03 1.1680207810458282e+05 3.2742536240242206e+05 6.8764210002838064e+05 1.1508177852692234e+06 1.5911979170561549e+06 1.8249215542242099e+06 1.7793411238944381e+06 1.5970400187981150e+06 1.4140265405737117e+06 1.2558300438226955e+06 1.1073654542529692e+06 9.6722396697769524e+05 8.3865499997909740e+05 7.2261172721779486e+05 6.1866907279294811e+05 5.2687348231953161e+05 4.4689872055215557e+05 3.7765761274215096e+05 3.1793676276459114e+05 2.6661470571602730e+05 2.2268906970466484e+05 1.8544767472242427e+05 1.5573122824156436e+05 1.3526002325709624e+05 1.1684945734874443e+05 9.5717796084403642e+04 7.6179326968666195e+04 6.0092934275820466e+04 4.7193007170275901e+04 3.6950777751816677e+04 2.8888701899113425e+04 2.2598784944088584e+04 1.7736449581009201e+04 1.4013203235086734e+04 1.1189675343241719e+04 9.0691444856799262e+03 7.4915899278648785e+03 6.3282581830385834e+03 5.4767537089814996e+03 4.8566478188858318e+03 4.3773640978648637e+03 4.0349034734473439e+03 3.7861403277305549e+03 3.5999177230909222e+03 3.4541924280463113e+03 3.3337406794451390e+03 3.2283543883423822e+03 3.1314530852124240e+03 3.0390387091330163e+03 2.9489004024283454e+03 2.8600375068807211e+03 2.7722842762223008e+03 2.6860087018323943e+03 2.6017427734489393e+03 2.5200921210845086e+03 2.4416922982308488e+03 2.3670386957264318e+03 2.2965039114960941e+03 2.2302720303116562e+03 2.1684016236368443e+03 2.1106861362733266e+03 2.0567467811020761e+03 2.0058062922953061e+03 1.9567693428229989e+03 1.9079887297506536e+03 1.8575529392634396e+03 1.8038596792471301e+03 1.7463376206989456e+03 1.6861339593773055e+03 1.6262177118079119e+03 1.5703872747655332e+03 1.5221855637226797e+03 1.4837831705159374e+03 1.4556104799829734e+03 1.4365054351580068e+03 1.4244137714237695e+03 1.4171190932231696e+03 1.4126738796923612e+03 1.4096335390195320e+03 1.4078348239441898e+03 1.4061496010454937e+03 1.4044869540903735e+03 1.4027677996520561e+03 1.4010014892953220e+03 1.3991322782459399e+03 1.3972221595627127e+03 1.3950994815498329e+03 1.3928278058349797e+03 1.3903652507259860e+03 1.3876792138425330e+03 1.3847300447753926e+03 1.3814730243057893e+03 1.3778438342305678e+03 1.3738509324753995e+03 1.3693419289763165e+03 1.3642865698627290e+03 1.3586114365581966e+03 1.3522376324894283e+03 1.3450837631161853e+03 1.3370681396106806e+03 1.3281003421983733e+03 1.3181936651114772e+03 1.3071732064114235e+03 1.2950775148993332e+03 1.2819345088643979e+03 1.2678473204533116e+03 1.2529913592455914e+03 1.2377004469502115e+03 1.2224712767829749e+03 1.2081185770568293e+03 1.1956638563641009e+03 1.1867100624879704e+03 1.1834889946602557e+03 1.1892447842116821e+03 1.2086976784700564e+03 1.2490007180938187e+03 1.3214772689608535e+03 1.4452093007714809e+03 2.7691750778676446e+03 +3.2235832657242676e-03 1.1665984522817738e+05 3.2705606580726802e+05 6.8689266268295189e+05 1.1496267821132564e+06 1.5897324627817259e+06 1.8236066280635248e+06 1.7785647239969317e+06 1.5968930739588230e+06 1.4144434671458299e+06 1.2567387280857030e+06 1.1086927661741553e+06 9.6888874413904804e+05 8.4057602264873090e+05 7.2471201127353951e+05 6.2087683471558965e+05 5.2912672638492531e+05 4.4914724045172648e+05 3.7986103450153040e+05 3.2006303730367549e+05 2.6863912840955146e+05 2.2459352646256791e+05 1.8722202460863377e+05 1.5739156937247686e+05 1.3686805492241832e+05 1.1839997357212941e+05 9.7133969963258583e+04 7.7430162459618092e+04 6.1180159655491560e+04 4.8126519330408584e+04 3.7743290536187422e+04 2.9554382832434589e+04 2.3152411274562182e+04 1.8192749661402511e+04 1.4386347791569091e+04 1.1492903583829315e+04 9.3145101056296317e+03 7.6898114820041219e+03 6.4886573691893691e+03 5.6072651278878920e+03 4.9638841244501682e+03 4.4655745457552193e+03 4.1089804979110959e+03 3.8498309480590201e+03 3.6560206814306011e+03 3.5047459883788647e+03 3.3801922420231649e+03 3.2717066445165983e+03 3.1723846674145861e+03 3.0779999153921403e+03 2.9861861170545781e+03 2.8958408212966165e+03 2.8067350459785825e+03 2.7192000318265177e+03 2.6337465440260712e+03 2.5509687159844461e+03 2.4714963709854846e+03 2.3958203511364040e+03 2.3243081231851820e+03 2.2571354241330901e+03 2.1943478978689936e+03 2.1357166974494467e+03 2.0808277176343463e+03 2.0288453823197738e+03 1.9785856102307141e+03 1.9282753461324410e+03 1.8758564262274344e+03 1.8196057704869752e+03 1.7589249933301185e+03 1.6950833873306647e+03 1.6313200311381929e+03 1.5717789815917276e+03 1.5203225021644935e+03 1.4793277580839035e+03 1.4492835389916261e+03 1.4289605593930405e+03 1.4161609202634700e+03 1.4085055168260733e+03 1.4039047482857113e+03 1.4008125248867939e+03 1.3990060196986606e+03 1.3973237337569199e+03 1.3956687753217648e+03 1.3939595167042628e+03 1.3922040091852184e+03 1.3903461773980750e+03 1.3884487013188725e+03 1.3863392875595673e+03 1.3840818153144764e+03 1.3816346595515790e+03 1.3789654257617949e+03 1.3760347137765855e+03 1.3727980825671086e+03 1.3691913781322776e+03 1.3652241944750763e+03 1.3607434390232070e+03 1.3557197607716105e+03 1.3500801972753650e+03 1.3437463509296392e+03 1.3366373395866474e+03 1.3286719849713120e+03 1.3197602044310304e+03 1.3099163530530193e+03 1.2989650299266098e+03 1.2869452292210547e+03 1.2738846893196724e+03 1.2598858986209368e+03 1.2451231663999622e+03 1.2299282158261074e+03 1.2147944089835885e+03 1.2005324085513473e+03 1.1881558409708193e+03 1.1792582201059909e+03 1.1760571191213621e+03 1.1817767118006216e+03 1.2011075003564629e+03 1.2411574948509965e+03 1.3131786320307692e+03 1.4361344799091889e+03 2.8033867448312367e+03 +3.2434509772603817e-03 1.1651748817183981e+05 3.2668681073933601e+05 6.8614341030294728e+05 1.1484354274001792e+06 1.5882639619793943e+06 1.8222828956713858e+06 1.7777724857975889e+06 1.5967243333872515e+06 1.4148339342118576e+06 1.2576173032167619e+06 1.1099875375479392e+06 9.7051983709409169e+05 8.4246337714793289e+05 7.2677964550639933e+05 6.2305380726973864e+05 5.3135166936809104e+05 4.5137036171680613e+05 3.8204220786139159e+05 3.2217032649577566e+05 2.7064782757703861e+05 2.2648542542773869e+05 1.8898680274932180e+05 1.5904504747824490e+05 1.3847167926076928e+05 1.1994863687054637e+05 9.8550849725055581e+04 7.8683880054025271e+04 6.2271941823317458e+04 4.9065774178293570e+04 3.8542286946097833e+04 3.0226900784363046e+04 2.3712905439775303e+04 1.8655693499758552e+04 1.4765723470207815e+04 1.1801823488646567e+04 9.5649558441894351e+03 7.8924756731091375e+03 6.6528725420736719e+03 5.7410039953452706e+03 5.0738157378958804e+03 4.5559829412414711e+03 4.1848390845353561e+03 3.9149650012041275e+03 3.7132998195812957e+03 3.5562693352063870e+03 3.4274571027884735e+03 3.3157549946297449e+03 3.2139249553426407e+03 3.1175043496834874e+03 3.0239652360703412e+03 2.9320986383157647e+03 2.8416088985220726e+03 2.7527880831294688e+03 2.6661240347129419e+03 2.5821981959785999e+03 2.5016337851022440e+03 2.4249163667085822e+03 2.3524075624176890e+03 2.2842739139324462e+03 2.2205469896058703e+03 2.1609739194100002e+03 2.1051025641088809e+03 2.0520346866214372e+03 2.0004907665246549e+03 1.9485625588204068e+03 1.8940344593891173e+03 1.8350538799263527e+03 1.7709938577739163e+03 1.7032554792865139e+03 1.6353684897384437e+03 1.5718487782072959e+03 1.5169019947377433e+03 1.4731274660361012e+03 1.4410768837844064e+03 1.4194489577445313e+03 1.4058916773882584e+03 1.3978512863238548e+03 1.3930856941251961e+03 1.3899399271454372e+03 1.3881266149948171e+03 1.3864490656461767e+03 1.3848039824415087e+03 1.3831070476721000e+03 1.3813648921767508e+03 1.3795211326862784e+03 1.3776391387527090e+03 1.3755460769589095e+03 1.3733061133080789e+03 1.3708779399786920e+03 1.3682294180711488e+03 1.3653214555329184e+03 1.3621099544991964e+03 1.3585309982028502e+03 1.3545954070787750e+03 1.3501494648211719e+03 1.3451648289133664e+03 1.3395690996752112e+03 1.3332844937007389e+03 1.3262307599511414e+03 1.3183273495667408e+03 1.3094846288643471e+03 1.2997180932218089e+03 1.2888519597047537e+03 1.2769256710133604e+03 1.2639667446033648e+03 1.2500768751246615e+03 1.2354290160198132e+03 1.2203523052787214e+03 1.2053360317068796e+03 1.1911856957754994e+03 1.1789054264175272e+03 1.1700770221768225e+03 1.1669005595945600e+03 1.1725755630178344e+03 1.1917559018262380e+03 1.2314941217776682e+03 1.3029542012370011e+03 1.4249536215153116e+03 2.8380209056398107e+03 +3.2634411382352554e-03 1.1637500321151390e+05 3.2631758739240700e+05 6.8539433129500016e+05 1.1472437486215520e+06 1.5867924893416893e+06 1.8209504908711140e+06 1.7769646458591109e+06 1.5965340785517704e+06 1.4151982603228975e+06 1.2584661004396952e+06 1.1112500909810080e+06 9.7211753774175188e+05 8.4431730947574438e+05 7.2881481818874809e+05 6.2520011369352438e+05 5.3354836673741450e+05 4.5356807334279595e+05 3.8420105953878642e+05 3.2425850118774764e+05 2.7264062626696954e+05 2.2836455096897500e+05 1.9074176412064434e+05 1.6069139335458394e+05 1.4007059765731276e+05 1.2149512446318535e+05 9.9968111969810794e+04 7.9940174124777914e+04 6.3368004087811154e+04 5.0010531210780377e+04 3.9347566798980508e+04 3.0906097207133931e+04 2.4280149402382638e+04 1.9125200481432286e+04 1.5151282557325811e+04 1.2116414829252315e+04 9.8204831603389957e+03 8.0995999181142179e+03 6.8209317808512833e+03 5.8780044559318485e+03 5.1864791309342054e+03 4.6486251368972207e+03 4.2625123034743328e+03 3.9815715691694172e+03 3.7717797857102510e+03 3.6087827776533713e+03 3.4755516587304678e+03 3.3605125091277509e+03 3.2560843100899565e+03 3.1575602324403148e+03 3.0622443186819369e+03 2.9688162337465733e+03 2.8769101074903861e+03 2.7867763250163312e+03 2.6988780395231006e+03 2.6137827532057645e+03 2.5321061575279241e+03 2.4543277680341589e+03 2.3808026022973677e+03 2.3116871043290244e+03 2.2469975434125540e+03 2.1864551814268616e+03 2.1295669501657198e+03 2.0753673154724925e+03 2.0224741959655078e+03 1.9688342161307376e+03 1.9120628541215551e+03 1.8501687524998054e+03 1.7824947838592332e+03 1.7105841780241817e+03 1.6382792915392838e+03 1.5704957000610591e+03 1.5118080123843870e+03 1.4650542932130093e+03 1.4308539127215379e+03 1.4078284895095724e+03 1.3934607519780848e+03 1.3850095848364413e+03 1.3800693324881222e+03 1.3768682797350391e+03 1.3750492246594426e+03 1.3733783449751704e+03 1.3717454823423750e+03 1.3700634744310601e+03 1.3683374035106954e+03 1.3665106030817542e+03 1.3646471345985080e+03 1.3625737344331556e+03 1.3603548220729522e+03 1.3579494718122405e+03 1.3553258515395728e+03 1.3524452393411657e+03 1.3492639501661786e+03 1.3457183828743609e+03 1.3418206806081143e+03 1.3374165885696398e+03 1.3324788855970448e+03 1.3269358490728027e+03 1.3207104333045991e+03 1.3137231456071802e+03 1.3058941939469842e+03 1.2971345136027605e+03 1.2874608248356947e+03 1.2766970888186308e+03 1.2648831998360802e+03 1.2520464104504531e+03 1.2382874607781291e+03 1.2237776745343388e+03 1.2088430829148726e+03 1.1939681060709745e+03 1.1799519063616267e+03 1.1677873844743797e+03 1.1590421779530252e+03 1.1558953612107339e+03 1.1615167798487321e+03 1.1805162877255343e+03 1.2198797827484411e+03 1.2906655678473280e+03 1.4115153621367519e+03 2.8730827746260443e+03 +3.2835545033339476e-03 1.1623238748303226e+05 3.2594839764089801e+05 6.8464543689830392e+05 1.1460517616684164e+06 1.5853181223279401e+06 1.8196095645645496e+06 1.7761414118070374e+06 1.5963225812345652e+06 1.4155367570315953e+06 1.2592854474833435e+06 1.1124807471791762e+06 9.7368213812858495e+05 8.4613806744631811e+05 7.3081772096203500e+05 6.2731588194581808e+05 5.3571687985396106e+05 4.5574037113044324e+05 3.8633752369761147e+05 3.2632743999457959e+05 2.7461735531130683e+05 2.3023069495346246e+05 1.9248667065623065e+05 1.6233034407008693e+05 1.4166451707781962e+05 1.2303911814410843e+05 1.0138543638093768e+05 8.1198740465498835e+04 6.4468069577673989e+04 5.0960548323911877e+04 4.0158927147336559e+04 3.1591809927465150e+04 2.4854020959871927e+04 1.9601185597971918e+04 1.5542972995306465e+04 1.2436653312123779e+04 1.0081089895440216e+04 8.3111985685186482e+03 6.9928606947886628e+03 6.0182987697977496e+03 5.3019094246370751e+03 4.7435361192608389e+03 4.3420327354497185e+03 4.0496795129851266e+03 3.8314851793220146e+03 3.6623066713251319e+03 3.5244923925288349e+03 3.4059923470079743e+03 3.2988731637040642e+03 3.1981758281889647e+03 3.1010299390650503e+03 3.0059988706382242e+03 2.9126429087536267e+03 2.8211681666406621e+03 2.7320112718142864e+03 2.6457244791889420e+03 2.5629149837802438e+03 2.4840554359272996e+03 2.4094934431700344e+03 2.3393743918269593e+03 2.2736979490008489e+03 2.2121575436852913e+03 2.1542160949178701e+03 2.0988358345335350e+03 2.0445245381193770e+03 1.9890731238902204e+03 1.9299159525594098e+03 1.8649130697540011e+03 1.7933755274313419e+03 1.7169997374999573e+03 1.6399640232793238e+03 1.5676132706365770e+03 1.5049182313662232e+03 1.4549733230832646e+03 1.4184706635958389e+03 1.3939493670695144e+03 1.3787150437023047e+03 1.3698257074461044e+03 1.3647003616730528e+03 1.3614421958593105e+03 1.3596185472830025e+03 1.3579564109988046e+03 1.3563382814599274e+03 1.3546739878052765e+03 1.3529669272264691e+03 1.3511601767608834e+03 1.3493184917409612e+03 1.3472682967359719e+03 1.3450742286942282e+03 1.3426958135302616e+03 1.3401015806915868e+03 1.3372532448233119e+03 1.3341076082575833e+03 1.3306014695302154e+03 1.3267483969903619e+03 1.3223936894177903e+03 1.3175113674960548e+03 1.3120305080550095e+03 1.3058749353539727e+03 1.2989660512868406e+03 1.2912249570654415e+03 1.2825632855168028e+03 1.2729990717966541e+03 1.2623561569988781e+03 1.2506748899263578e+03 1.2379822111885094e+03 1.2243777342151050e+03 1.2100308597453015e+03 1.1952639537187649e+03 1.1805557161592365e+03 1.1666977118191946e+03 1.1546697608349871e+03 1.1460227209638333e+03 1.1429109114181251e+03 1.1484691142043100e+03 1.1672552634036940e+03 1.2061766354354570e+03 1.2761668891251413e+03 1.3956602085074794e+03 2.9085776304166866e+03 +3.3037918318928206e-03 1.1608963979984050e+05 3.2557923895565025e+05 6.8389673408734694e+05 1.1448594663350030e+06 1.5838408994831699e+06 1.8182602358405353e+06 1.7753030065839624e+06 1.5960901232004941e+06 1.4158497359515072e+06 1.2600756707583431e+06 1.1136798248229944e+06 9.7521393067455781e+05 8.4792590062583797e+05 7.3278854863296717e+05 6.2940124450457317e+05 5.3785727579145413e+05 4.5788725751721440e+05 3.8845154179403390e+05 3.2837702917344862e+05 2.7657785323029326e+05 2.3208365668765485e+05 1.9422129122681581e+05 1.6396164298697608e+05 1.4325315013384476e+05 1.2458030439932772e+05 1.0280250588658816e+05 8.2459276484252769e+04 6.5571861451202873e+04 5.1915582023308772e+04 4.0976162475853831e+04 3.2283873318230704e+04 2.5434393881909025e+04 2.0083559545219963e+04 1.5940738440427120e+04 1.2762510598410163e+04 1.0346770260189314e+04 8.5272828716119566e+03 7.1686823668377829e+03 6.1619172467192029e+03 5.4201403211375209e+03 4.8407499441870923e+03 4.4234324151040046e+03 4.1193174261463291e+03 3.8924405149368927e+03 3.7168613911745233e+03 3.5742958528218860e+03 3.4522077416327948e+03 3.3423020087339614e+03 3.2393594374454283e+03 3.1403286796019461e+03 3.0436517931541689e+03 2.9488114944951349e+03 2.8559669510484146e+03 2.7655263580307897e+03 2.6780253581852508e+03 2.5940616307282257e+03 2.5141000984285688e+03 2.4384801036438471e+03 2.3673349544905100e+03 2.3006463290880229e+03 2.2380777325827662e+03 2.1790447885456560e+03 2.1224322410210220e+03 2.0666296559395482e+03 2.0092610015885803e+03 1.9475665627428436e+03 1.8792473660572964e+03 1.8035809178568684e+03 1.7224285773533663e+03 1.6403294744343200e+03 1.5630892883641661e+03 1.4961037914882886e+03 1.4427424593229350e+03 1.4037755330109728e+03 1.3776538648789660e+03 1.3614933458280555e+03 1.3521367614800224e+03 1.3468152622535201e+03 1.3434980671123130e+03 1.3416710645278151e+03 1.3400198935626784e+03 1.3384191856825094e+03 1.3367755878355342e+03 1.3350906668039011e+03 1.3333072721399863e+03 1.3314908546635224e+03 1.3294676545954828e+03 1.3273024874773841e+03 1.3249554051789894e+03 1.3223953572916903e+03 1.3195845660427331e+03 1.3164804009035327e+03 1.3130201500911226e+03 1.3092189162107302e+03 1.3049216508799495e+03 1.3001037451506938e+03 1.2946952061933623e+03 1.2886208696371175e+03 1.2818031776500436e+03 1.2741642705895867e+03 1.2656166164601023e+03 1.2561796610248789e+03 1.2456772713240566e+03 1.2341502534806439e+03 1.2216251858271960e+03 1.2082003709860396e+03 1.1940429730996930e+03 1.1794710955852725e+03 1.1649568078064658e+03 1.1512827293974174e+03 1.1394136196347781e+03 1.1308807554471728e+03 1.1278096871022647e+03 1.1332943738041881e+03 1.1518323764526783e+03 1.1902395444293654e+03 1.2593046059567807e+03 1.3772202287436805e+03 2.9445108167248159e+03 +3.3241538879282087e-03 1.1594675612300230e+05 3.2521011012902309e+05 6.8314821433959482e+05 1.1436668810904929e+06 1.5823608614722777e+06 1.8169026367405197e+06 1.7744496389075187e+06 1.5958369872923510e+06 1.4161375079162484e+06 1.2608370940770262e+06 1.1148476421074530e+06 9.7671320819550799e+05 8.4968106022223376e+05 7.3472749897950445e+05 6.3145633815872774e+05 5.3996962715431023e+05 4.6000874141374492e+05 3.9054306242703024e+05 3.3040716249800613e+05 2.7852196613273892e+05 2.3392324285379122e+05 1.9594540161599693e+05 1.6558503977472213e+05 1.4483621514308412e+05 1.2611837451670274e+05 1.0421900681501688e+05 8.3721481390547851e+04 6.6679103101475572e+04 5.2875387632162827e+04 4.1799064897749340e+04 3.2982118471363836e+04 2.6021138050807487e+04 2.0572228826114319e+04 1.6344518326031635e+04 1.3093954329357546e+04 1.0617514826915187e+04 8.7478609364846834e+03 7.3484173011751091e+03 6.3088881829673692e+03 5.5412040370196291e+03 4.9402996729623155e+03 4.5067427743025391e+03 4.1905135874150083e+03 3.9546701849065144e+03 3.7724673034076677e+03 3.6249786336192719e+03 3.4991719857356698e+03 3.3863813871437546e+03 3.2811193881337276e+03 3.1801471237427299e+03 3.0817802201696873e+03 2.9854200070812390e+03 2.8911759489870306e+03 2.7994258312714305e+03 2.7106872603154357e+03 2.6255473291456547e+03 2.5444623226205676e+03 2.4677624113775478e+03 2.3955677413991784e+03 2.3278405269813757e+03 2.2642121256825935e+03 2.2040473734841657e+03 2.1461479393382629e+03 2.0887766031410943e+03 2.0293784375928601e+03 1.9649858964951961e+03 1.8931299431325945e+03 1.8130527433731934e+03 1.7267931347794861e+03 1.6392774540132834e+03 1.5568056099369890e+03 1.4852290503434381e+03 1.4282121571256807e+03 1.3866089913072035e+03 1.3587760238698118e+03 1.3416260436647185e+03 1.3317713620881507e+03 1.3262419916113779e+03 1.3228637578949376e+03 1.3210347357383109e+03 1.3193969079744197e+03 1.3178164955660213e+03 1.3161967793562008e+03 1.3145373411234618e+03 1.3127808342452765e+03 1.3109934062329230e+03 1.3090012499587622e+03 1.3068693176806080e+03 1.3045582666582759e+03 1.3020375292009123e+03 1.2992699109992320e+03 1.2962134338744668e+03 1.2928059719971179e+03 1.2890642781601114e+03 1.2848330636641981e+03 1.2800892268877440e+03 1.2747638451934874e+03 1.2687829166558620e+03 1.2620700793748754e+03 1.2545486687255311e+03 1.2461321350378100e+03 1.2368414363953164e+03 1.2265006225444829e+03 1.2151509595985767e+03 1.2028186098525489e+03 1.1896003684164587e+03 1.1756608277669302e+03 1.1613131907147681e+03 1.1470219232940392e+03 1.1335592599012250e+03 1.1218727839791875e+03 1.1134711988161378e+03 1.1104469977431861e+03 1.1158471640909893e+03 1.1340998543883304e+03 1.1719158101797238e+03 1.2399171560677974e+03 1.3560187387177673e+03 2.9808877431506098e+03 +3.3446414401652599e-03 1.1580373505703155e+05 3.2484100726682122e+05 6.8239988215020252e+05 1.1424740337918713e+06 1.5808780800270261e+06 1.8155369038394396e+06 1.7735815313519803e+06 1.5955634364212346e+06 1.4164003794841466e+06 1.2615700395720517e+06 1.1159845169419409e+06 9.7818026382613473e+05 8.5140379900750564e+05 7.3663477262847649e+05 6.3348130381628254e+05 5.4205401190961327e+05 4.6210483804433770e+05 3.9261204118841019e+05 3.3241774112976948e+05 2.8044954761476134e+05 2.3574926744324120e+05 1.9765878448892641e+05 1.6720029041922381e+05 1.4641343618288767e+05 1.2765302468968461e+05 1.0563462904229652e+05 8.4985056376487599e+04 6.7789518356690882e+04 5.3839719495897247e+04 4.2627424350281115e+04 3.3686373372016664e+04 2.6614119605137923e+04 2.1067095857589953e+04 1.6754247930905749e+04 1.3430948157279059e+04 1.0893310527375836e+04 8.9729377048720507e+03 7.5320833745841910e+03 6.4592378010925868e+03 5.6651312386095397e+03 5.0422173092294997e+03 4.5919945854757070e+03 4.2632959131645557e+03 4.0181984214221129e+03 3.8291447365366389e+03 3.6765573528475484e+03 3.5468984157196351e+03 3.4311218786442910e+03 3.3234640265076246e+03 3.2204918484825225e+03 3.1203893385614083e+03 3.0224725326311673e+03 2.9267983524925580e+03 2.8337121246381730e+03 2.7437119345221272e+03 2.6573731661043098e+03 2.5751425062311773e+03 2.4973399936808632e+03 2.4240714618444881e+03 2.3552780938707688e+03 2.2905567363423911e+03 2.2292177252038146e+03 2.1699737161861590e+03 2.1109515909002885e+03 2.0494048434465703e+03 1.9821435060761987e+03 1.9065167829731718e+03 1.8217296343744135e+03 1.7300117138469373e+03 1.6367046043309451e+03 1.5486379302023431e+03 1.4721513337871945e+03 1.4112251504785002e+03 1.3668032932585077e+03 1.3371413515136742e+03 1.3189348086092773e+03 1.3085493233927109e+03 1.3027996740396575e+03 1.2993582954095709e+03 1.2975286881022928e+03 1.2959067454718136e+03 1.2943496971266477e+03 1.2927572631578937e+03 1.2911268760114631e+03 1.2894010266538703e+03 1.2876465600794993e+03 1.2856897688353997e+03 1.2835956968668336e+03 1.2813256916016105e+03 1.2788497348514154e+03 1.2761312967510355e+03 1.2731291424199414e+03 1.2697818348415149e+03 1.2661079001696330e+03 1.2619519241932062e+03 1.2572924584556624e+03 1.2520617997770396e+03 1.2461872699135236e+03 1.2395938690163446e+03 1.2322062938436993e+03 1.2239391342025779e+03 1.2148149685131887e+03 1.2046581972880301e+03 1.1935105491495096e+03 1.1813977129900925e+03 1.1684147664586937e+03 1.1547233727652279e+03 1.1406311531108731e+03 1.1265939322014174e+03 1.1133720217032435e+03 1.1018935726922189e+03 1.0936415203839531e+03 1.0906707248528376e+03 1.0959746263906413e+03 1.1139023385398739e+03 1.1510448940035087e+03 1.2178346830669500e+03 1.3318699838702541e+03 3.0177138859931410e+03 +3.3652552620669586e-03 1.1566057439266489e+05 3.2447192869665282e+05 6.8165174149454548e+05 1.1412809110488496e+06 1.5793926134868746e+06 1.8141631677460442e+06 1.7726988839934645e+06 1.5952697349557390e+06 1.4166386532654001e+06 1.2622748268985786e+06 1.1170907660539234e+06 9.7961539096143516e+05 8.5309437123205757e+05 7.3851057298331812e+05 6.3547628636032669e+05 5.4411051321727422e+05 4.6417556879446900e+05 3.9465844051450666e+05 3.3440867348822550e+05 2.8236045865736587e+05 2.3756155168557446e+05 1.9936122935923719e+05 1.6880715722573912e+05 1.4798454313658606e+05 1.2918395611226650e+05 1.0704906613356782e+05 8.6249704791640295e+04 6.8902831675473135e+04 5.4808331184131508e+04 4.3461028789118667e+04 3.4396463073425606e+04 2.7213201085628149e+04 2.1568059081675321e+04 1.7169858452557270e+04 1.3773451781948135e+04 1.1174140655887359e+04 9.2025149268895311e+03 7.7196957919805709e+03 6.6129901927642850e+03 5.7919509792490107e+03 5.1465337369382805e+03 4.6792179051254516e+03 4.3376919093091692e+03 4.0830492578478129e+03 3.8869139515659986e+03 3.7290486300926646e+03 3.5954003952184280e+03 3.4765340884012689e+03 3.3664017076201494e+03 3.2613694164627564e+03 3.1594842961713457e+03 3.0599730943729855e+03 2.9628372682505769e+03 2.8683875643952433e+03 2.7771010013351156e+03 2.6895400771618738e+03 2.6061408690623225e+03 2.5272122678772103e+03 2.4528445742891863e+03 2.3829562758557031e+03 2.3171071980172151e+03 2.2545492325770442e+03 2.1938997151676940e+03 2.1331399538683099e+03 2.0693184072707350e+03 1.9990072196344897e+03 1.9193614591927319e+03 1.8295469447053260e+03 1.7319983323943814e+03 1.6325022119395733e+03 1.5384555588142523e+03 1.4567206828710673e+03 1.3916161756590682e+03 1.3441821848163320e+03 1.3125665178340228e+03 1.2932322880713029e+03 1.2822813454985699e+03 1.2762982866865943e+03 1.2727915554845731e+03 1.2709629026768873e+03 1.2693595595238971e+03 1.2678291484912731e+03 1.2662676230084501e+03 1.2646700916541467e+03 1.2629789193319705e+03 1.2612616488618712e+03 1.2593448300370928e+03 1.2572935501393631e+03 1.2550699371676458e+03 1.2526445936356756e+03 1.2499817404645457e+03 1.2470409830455128e+03 1.2437616829570536e+03 1.2401642704781511e+03 1.2360933290815690e+03 1.2315292186318545e+03 1.2264056145565005e+03 1.2206513342043802e+03 1.2141929168933120e+03 1.2069565981507067e+03 1.1988582749306834e+03 1.1899222606086039e+03 1.1799734864087927e+03 1.1690541458228895e+03 1.1571893931833858e+03 1.1444723648248071e+03 1.1310614134063903e+03 1.1172578524292246e+03 1.1035077586428554e+03 1.0905578812023291e+03 1.0793145335475842e+03 1.0712314765865913e+03 1.0683210579081756e+03 1.0735161725742983e+03 1.0910766143597277e+03 1.1274581394137240e+03 1.1928787415976319e+03 1.3045788167664705e+03 3.0549947890713006e+03 +3.3859961318633263e-03 1.1551726874111641e+05 3.2410287393520703e+05 6.8090378483729495e+05 1.1400875510503068e+06 1.5779044961482103e+06 1.8127815523386123e+06 1.7718019094489298e+06 1.5949561552588430e+06 1.4168526297943674e+06 1.2629517735415825e+06 1.1181667039184410e+06 9.8101888287043129e+05 8.5475303236294608e+05 7.4035510607023141e+05 6.3744143454722501e+05 5.4613921927944454e+05 4.6622096105398762e+05 3.9668222953849303e+05 3.3637987512020802e+05 2.8425456751899427e+05 2.3935992397445941e+05 2.0105253254958260e+05 1.7040540881750904e+05 1.4954927173436113e+05 1.3071087506861097e+05 1.0846201547610248e+05 8.7515132311977854e+04 7.0018768337602625e+04 5.5780975689019135e+04 4.4299664381424715e+04 3.5112209872299616e+04 2.7818241583553983e+04 2.2075013080107750e+04 1.7591277085314992e+04 1.4121420992232899e+04 1.1459984877660514e+04 9.4365911415542596e+03 7.9112670460138597e+03 6.7701672647816349e+03 5.9216906387785448e+03 5.2532786594158879e+03 4.7684420176676958e+03 4.4137286229719202e+03 4.1492464893703582e+03 3.9457951114012662e+03 3.7824690635288580e+03 3.6446912979228855e+03 3.5226286341371811e+03 3.4099407852542386e+03 3.3027863676750399e+03 3.1990701944773173e+03 3.0979256457382976e+03 2.9992957107498928e+03 2.9034543629280242e+03 2.8108559454460728e+03 2.7220488383633574e+03 2.6374574441970535e+03 2.5573784314782224e+03 2.4818852751121472e+03 2.4108720007148381e+03 2.3438587482450903e+03 2.2800347778757705e+03 2.2179154108914408e+03 2.1553261155527484e+03 2.0890960462931985e+03 2.0155430755062548e+03 1.9316150468732583e+03 1.8364366310654912e+03 1.7326625666175530e+03 1.6265560158510161e+03 1.5261211938482522e+03 1.4387795974450194e+03 1.3692116911851206e+03 1.3185606061833571e+03 1.2848590476452543e+03 1.2643217915912726e+03 1.2527686976588918e+03 1.2465383416577188e+03 1.2429639445604323e+03 1.2411378965590002e+03 1.2395560483051711e+03 1.2380557627101891e+03 1.2365290088480197e+03 1.2349683861852798e+03 1.2333161726323856e+03 1.2316406087074549e+03 1.2297686700959875e+03 1.2277654355797499e+03 1.2255939100308076e+03 1.2232253925052967e+03 1.2206249466746935e+03 1.2177531215037338e+03 1.2145501942187668e+03 1.2110386379600720e+03 1.2070631658809630e+03 1.2026061111002011e+03 1.1976026971957776e+03 1.1919834202159032e+03 1.1856765473083663e+03 1.1786100417215680e+03 1.1707012862622187e+03 1.1619764508281296e+03 1.1522611897693073e+03 1.1415981636389790e+03 1.1300119270729574e+03 1.1175934366378569e+03 1.1044973283020563e+03 1.0910178344415974e+03 1.0775901051752048e+03 1.0649455799677505e+03 1.0539661732343961e+03 1.0460728429748233e+03 1.0432302270698074e+03 1.0483032164609638e+03 1.0654513384462546e+03 1.1009784900294674e+03 1.1648619988832529e+03 1.2739403706978435e+03 3.0927360645550029e+03 +3.4068648325808006e-03 1.1537381806768473e+05 3.2373383806900348e+05 6.8015601009014226e+05 1.1388939608919462e+06 1.5764137778548470e+06 1.8113921750298019e+06 1.7708908001902653e+06 1.5946229550667773e+06 1.4170426001443563e+06 1.2636011956052443e+06 1.1192126429972469e+06 9.8239103215877421e+05 8.5638003878116678e+05 7.4216858028526395e+05 6.3937690092963865e+05 5.4814022318392934e+05 4.6824104805621988e+05 3.9868338394175755e+05 3.3833126856745995e+05 2.8613174962992454e+05 2.4114421979009185e+05 2.0273249714779897e+05 1.7199482012859755e+05 1.5110736358756930e+05 1.3223349301414139e+05 1.0987317840707210e+05 8.8781047101632808e+04 7.1137054628878512e+04 5.6757405620316189e+04 4.5143115696813380e+04 3.5833433484511042e+04 2.8429096890946501e+04 2.2587848692587857e+04 1.8018427102841040e+04 1.4474807712814347e+04 1.1750819242434574e+04 9.6751616622512538e+03 8.1068068808189555e+03 6.9307886883438405e+03 6.0543758652444103e+03 5.3624805397423970e+03 4.8596953797072674e+03 4.4914325939482123e+03 4.2168136331105125e+03 4.0058082495135168e+03 3.8368352060767274e+03 3.6947844897476562e+03 3.5694161326600342e+03 3.4540896014203099e+03 3.3447492107828821e+03 3.2391520809599383e+03 3.1363340631709434e+03 3.0361765952203577e+03 2.9389146115139488e+03 2.8449781080993553e+03 2.7549000580676343e+03 2.6690920690462794e+03 2.5878374521426181e+03 2.5111914871092595e+03 2.4390218644088959e+03 2.3708062123345676e+03 2.3056667163766288e+03 2.2420095825957860e+03 2.1774935530442444e+03 2.1087133585437600e+03 2.0317152554029997e+03 1.9432260309636465e+03 1.8423271305978035e+03 1.7319093934693349e+03 1.6187460132376618e+03 1.5114906925876087e+03 1.4181627766880140e+03 1.3438295945238724e+03 1.2897443914931134e+03 1.2538170093258345e+03 1.2319969734365209e+03 1.2198028979135727e+03 1.2133105645837284e+03 1.2096660781461781e+03 1.2078444015360030e+03 1.2062871336397525e+03 1.2048206870517831e+03 1.2033328164619218e+03 1.2018134157621582e+03 1.2002047177977011e+03 1.1985756601579994e+03 1.1967538246960087e+03 1.1948042261896994e+03 1.1926908488885115e+03 1.1903857690848893e+03 1.1878549910757717e+03 1.1850601173333446e+03 1.1819424654103927e+03 1.1785266984024893e+03 1.1746578003822594e+03 1.1703202529159544e+03 1.1654510081669735e+03 1.1599824357391196e+03 1.1538447313863076e+03 1.1469677871670929e+03 1.1392706620272429e+03 1.1307815112220412e+03 1.1213269177425814e+03 1.1109500112123765e+03 1.0996746772624247e+03 1.0875894389196335e+03 1.0748447832416873e+03 1.0617270384016738e+03 1.0486591736332102e+03 1.0363554588623831e+03 1.0256706843199888e+03 1.0179891432170609e+03 1.0152222329185845e+03 1.0201589022498840e+03 1.0368467625257933e+03 1.0714202043635848e+03 1.1335879329512770e+03 1.2397397296716078e+03 3.1309433938065799e+03 +3.4278621520717986e-03 1.1523021914663140e+05 3.2336482251873869e+05 6.7940843705785647e+05 1.1377001429951724e+06 1.5749205323064639e+06 1.8099951703518392e+06 1.7699657615779343e+06 1.5942703888690458e+06 1.4172088641401101e+06 1.2642234072128097e+06 1.1202288953031318e+06 9.8373213075986109e+05 8.5797564771512628e+05 7.4395120618090394e+05 6.4128284173894790e+05 5.5011362275029346e+05 4.7023586871475627e+05 4.0066188580088393e+05 3.4026278323421942e+05 2.8799188748063584e+05 2.4291428161824416e+05 2.0440093296075787e+05 1.7357517239179841e+05 1.5265856621729519e+05 1.3375152665179395e+05 1.1128226033296360e+05 9.0047159969132161e+04 7.2257418021598467e+04 5.7737373396428135e+04 4.5991165897170096e+04 3.6559951220719056e+04 2.9045619652641362e+04 2.3106453138090183e+04 1.8451227945062579e+04 1.4833560055873684e+04 1.2046616203078660e+04 9.9182185669589926e+03 8.3063222600074660e+03 7.0948718516915005e+03 6.1900305190834088e+03 5.4741665425466363e+03 4.9530055648591133e+03 4.5708298061139349e+03 4.2857738877617812e+03 4.0669732379303600e+03 3.8921635408653810e+03 3.7456933102618673e+03 3.6169071857816989e+03 3.4988564753475139e+03 3.3872644140691327e+03 3.2797349411451969e+03 3.1752021387422333e+03 3.0734827303365046e+03 2.9747702728990116e+03 2.8794686793027554e+03 2.7880941686039623e+03 2.7010443761961415e+03 2.6185880574484631e+03 2.5407608477999188e+03 2.4674021173371207e+03 2.3979439867397095e+03 2.3314368556069171e+03 2.2661702873018999e+03 2.1996247611483877e+03 2.1281445737355343e+03 2.0474860165377559e+03 1.9541402133209656e+03 1.8471432367672419e+03 1.7296390310274555e+03 1.6089462627798794e+03 1.4944128396843455e+03 1.3946968568171133e+03 1.3152789358105606e+03 1.2575299654212140e+03 1.2192287004608179e+03 1.1960415120354128e+03 1.1831653895420848e+03 1.1763955699902888e+03 1.1726784560776878e+03 1.1708630395423318e+03 1.1693336367597792e+03 1.1679049791106363e+03 1.1664603639785882e+03 1.1649867714664513e+03 1.1634264342838778e+03 1.1618489859403805e+03 1.1600828069306617e+03 1.1581927886827430e+03 1.1561440038121243e+03 1.1539093916480933e+03 1.1514560011721674e+03 1.1487466052576322e+03 1.1457236944576289e+03 1.1424142776682963e+03 1.1386637608224848e+03 1.1344589598752482e+03 1.1297387474261075e+03 1.1244375738152512e+03 1.1184877768721149e+03 1.1118213912786812e+03 1.1043593545434771e+03 1.0961319437442867e+03 1.0869668897509930e+03 1.0769077930823080e+03 1.0659777966740053e+03 1.0542627201899970e+03 1.0419084422205383e+03 1.0291925116005148e+03 1.0165243831950872e+03 1.0045991794335280e+03 9.9424166950740209e+02 9.8679537542630044e+02 9.8411257351768381e+02 9.8889783025089639e+02 1.0050744546992422e+03 1.0385885677707879e+03 1.0988505278699447e+03 1.2017515951139837e+03 3.1696225282330861e+03 +3.4489888830444588e-03 1.1508646952407170e+05 3.2299582352947613e+05 6.7866104569808161e+05 1.1365061193308129e+06 1.5734248040565008e+06 1.8085906381813486e+06 1.7690270112815776e+06 1.5938987232548438e+06 1.4173517166899727e+06 1.2648187198214994e+06 1.1212157721798655e+06 9.8504247043038695e+05 8.5954011729484773e+05 7.4570319639412838e+05 6.4315941671489878e+05 5.5205952037214790e+05 4.7220546745400556e+05 4.0261772343730537e+05 3.4217435525205213e+05 2.8983487051192147e+05 2.4466995886736389e+05 2.0605765646120984e+05 1.7514625312315649e+05 1.5420263307716601e+05 1.3526469799953123e+05 1.1268897084289865e+05 9.1313184516663227e+04 7.3379587349139343e+04 5.8720631431887450e+04 4.6843596923302874e+04 3.7291578161392732e+04 2.9667659519593082e+04 2.3630710139173345e+04 1.8889595308981519e+04 1.5197622377455795e+04 1.2347344639344004e+04 1.0165750693273669e+04 8.5098173388797659e+03 7.2624318161727233e+03 6.3286766197684246e+03 5.5883624773024994e+03 5.0483992092898579e+03 4.6519456388706367e+03 4.3561500928124888e+03 4.1293097545986111e+03 3.9484704559699790e+03 3.7974310535257619e+03 3.6651123656951736e+03 3.5442496920227941e+03 3.4303383959980110e+03 3.3208236903605994e+03 3.2145335724684705e+03 3.1112168107487510e+03 3.0110231736780484e+03 2.9143286898837323e+03 2.8216314177237946e+03 2.7333137840799318e+03 2.6496287244783139e+03 2.5705906975036123e+03 2.4960086503539164e+03 2.4252660221711481e+03 2.3573364342375316e+03 2.2903848325241247e+03 2.2217012159343412e+03 2.1473625033761350e+03 2.0628156227260979e+03 1.9643006184307524e+03 1.8508059736494743e+03 1.7257467769601153e+03 1.5970246858458211e+03 1.4747291129488417e+03 1.3682001462429182e+03 1.2833596289047573e+03 1.2217040370360514e+03 1.1808723306696972e+03 1.1562287865753458e+03 1.1426272146704425e+03 1.1355635338253880e+03 1.1317711349310803e+03 1.1299639952700138e+03 1.1284659512212693e+03 1.1270792800829806e+03 1.1256825655282942e+03 1.1242596533723759e+03 1.1227528242612384e+03 1.1212324059262189e+03 1.1195277827530051e+03 1.1177036594522151e+03 1.1157263127947224e+03 1.1135696362883280e+03 1.1112018341350984e+03 1.1085869737975536e+03 1.1056688598773526e+03 1.1024770120873461e+03 1.0988574193214440e+03 1.0947994291213445e+03 1.0902440383461062e+03 1.0851279981501718e+03 1.0793860152100565e+03 1.0729524939689588e+03 1.0657504656506210e+03 1.0578124735872218e+03 1.0489676301691700e+03 1.0392600084226285e+03 1.0287119303229908e+03 1.0174062255226299e+03 1.0054836759452513e+03 9.9321212142913794e+02 9.8098608598505939e+02 9.6947944284615426e+02 9.5948386347729115e+02 9.5229773607525919e+02 9.4970796908058674e+02 9.5432578021192819e+02 9.6993701824525886e+02 1.0022796018752293e+03 1.0604339663119727e+03 1.1597399496591972e+03 3.2087792901484718e+03 +3.4702458230925688e-03 1.1494256422599145e+05 3.2262683709435130e+05 6.7791384775608801e+05 1.1353118947664720e+06 1.5719266308627769e+06 1.8071787298222599e+06 1.7680747310878150e+06 1.5935082107625406e+06 1.4174714440753541e+06 1.2653874416916736e+06 1.1221735836444532e+06 9.8632234285961685e+05 8.6107370643689646e+05 7.4742476567646477e+05 6.4500678889614111e+05 5.5397802284837223e+05 4.7414989404768049e+05 4.0455089126103855e+05 3.4406592734385614e+05 2.9166059500027087e+05 2.4641110778211488e+05 2.0770249073392528e+05 1.7670785610015562e+05 1.5573932357071890e+05 1.3677273445297309e+05 1.1409302381511046e+05 9.2578837283855479e+04 7.4503292975365461e+04 5.9706932320526488e+04 4.7700189680161988e+04 3.8028127331662698e+04 3.0295063303457580e+04 2.4160500048831465e+04 1.9333441243531113e+04 1.5566935338520598e+04 1.2652969886330682e+04 1.0417743638222977e+04 8.7172934409280115e+03 7.4334812758664002e+03 6.4703342951470904e+03 5.7050927433624429e+03 5.1459019580740287e+03 4.7348048187403392e+03 4.4279646874915243e+03 4.1928372501926024e+03 4.0057722185185835e+03 3.8500109482447074e+03 3.7140421997530771e+03 3.5902774902244319e+03 3.4739775153911855e+03 3.3624231651658160e+03 3.2543319643953864e+03 3.1493814093549540e+03 3.0476749965120734e+03 2.9495590033275234e+03 2.8555118599287689e+03 2.7658994874855707e+03 2.6809576692090977e+03 2.6006780672282339e+03 2.5248369805561583e+03 2.4527658064050429e+03 2.3833561006315958e+03 2.3146397485432417e+03 2.2437033376965619e+03 2.1663384901295035e+03 2.0776622745307823e+03 1.9736473979266782e+03 1.8532324687121634e+03 1.7201228452335083e+03 1.5828428657107740e+03 1.4522734469897896e+03 1.3384823584590497e+03 1.2478621600813301e+03 1.1820432912311101e+03 1.1385157019821611e+03 1.1123215511256365e+03 1.0979486853959324e+03 1.0905738635074310e+03 1.0867033979670578e+03 1.0849066863091682e+03 1.0834437133489891e+03 1.0821034855645964e+03 1.0807596024434001e+03 1.0793925421514007e+03 1.0779446846541662e+03 1.0764870496194997e+03 1.0748502439674210e+03 1.0730987180969491e+03 1.0712000758508777e+03 1.0691292616426545e+03 1.0668557522225508e+03 1.0643450414548172e+03 1.0615423978124850e+03 1.0584800264295150e+03 1.0550046709099176e+03 1.0511084193660338e+03 1.0467346092585669e+03 1.0418225261474681e+03 1.0363094862498535e+03 1.0301325048648359e+03 1.0232169353904226e+03 1.0155977402021541e+03 1.0071056619208540e+03 9.9778524748083214e+02 9.8765791483019268e+02 9.7680319935245620e+02 9.6535626812822693e+02 9.5357426525464939e+02 9.4183528051454789e+02 9.3078970671371201e+02 9.2119285262209178e+02 9.1429334183936965e+02 9.1180608455950505e+02 9.1623943255845188e+02 9.3122780830260820e+02 9.6227977180692335e+02 1.0181123197924570e+03 1.1134577183977681e+03 3.2484195736458837e+03 +3.4916337747256773e-03 1.1479850221808179e+05 3.2225786055413465e+05 6.7716683797902032e+05 1.1341174961872108e+06 1.5704260565802620e+06 1.8057595402140450e+06 1.7671091021598042e+06 1.5930990983442331e+06 1.4175683374888655e+06 1.2659298789126377e+06 1.1231026381920087e+06 9.8757203929385275e+05 8.6257667465615261e+05 7.4911613087719644e+05 6.4682512441340799e+05 5.5586924121800868e+05 4.7606920346085250e+05 4.0646138962197548e+05 3.4593744868888316e+05 2.9346896394561918e+05 2.4813759135483907e+05 2.0933526541674414e+05 1.7825978133673529e+05 1.5726840306279901e+05 1.3827536884103276e+05 1.1549413751660277e+05 9.3843837884121443e+04 7.5628266958343011e+04 6.0696029014731721e+04 4.8560724218785595e+04 3.8769409874940386e+04 3.0927675131880049e+04 2.4695699979864221e+04 1.9782674247768053e+04 1.5941435970277147e+04 1.2963453767857236e+04 1.0674179762734895e+04 8.9287490385547881e+03 7.6080305207267038e+03 6.6150217334789359e+03 5.8243802767775151e+03 5.2455384124572502e+03 4.8194313712033700e+03 4.5012396694577728e+03 4.2575749144236588e+03 4.0640849481739251e+03 3.9034461373285467e+03 3.7637071547279356e+03 3.6369480501534449e+03 3.5181880612471136e+03 3.4045381145174420e+03 3.2946008064457383e+03 3.1879789694159645e+03 3.0847272721303939e+03 2.9851603074976556e+03 2.8897353476004500e+03 2.7988004478961875e+03 2.7125728357388430e+03 2.6310196663523902e+03 2.5538822368395654e+03 2.4804363468547194e+03 2.4094858910770113e+03 2.3389207602710167e+03 2.2656104534085152e+03 2.1850423564824737e+03 2.0919820384889654e+03 1.9821177339459393e+03 1.8543358242208014e+03 1.7126522012382129e+03 1.5662558450041577e+03 1.4268719949687456e+03 1.3053443429401077e+03 1.2085672946827472e+03 1.1383140780873878e+03 1.0919158871313305e+03 1.0640716066649404e+03 1.0488790528153918e+03 1.0411748658662848e+03 1.0372234229624657e+03 1.0354394311912765e+03 1.0340154705869743e+03 1.0327264142651529e+03 1.0314405923577087e+03 1.0301348685911635e+03 1.0287517770942268e+03 1.0273630265728962e+03 1.0258006791382345e+03 1.0241288588706227e+03 1.0223166270447399e+03 1.0203400815574112e+03 1.0181700961320603e+03 1.0157737308331807e+03 1.0130978770016034e+03 1.0101776098277264e+03 1.0068606105191158e+03 1.0031419290643452e+03 9.9896747297489628e+02 9.9427930993349185e+02 9.8901762096023901e+02 9.8312228789862434e+02 9.7652122871693439e+02 9.6925198635055517e+02 9.6114719813309534e+02 9.5225188607765642e+02 9.4258647602272356e+02 9.3222688640463218e+02 9.2130211991971726e+02 9.1005757845944879e+02 8.9885332331421546e+02 8.8831390010376640e+02 8.7915479300322386e+02 8.7256994965988270e+02 8.7019525046648346e+02 8.7442608785927575e+02 8.8873064674235843e+02 9.1836569156766188e+02 9.7164923693835726e+02 1.0626464279669665e+03 3.2885493454821349e+03 +3.5131535453993899e-03 1.1465428107700856e+05 3.2188889292603591e+05 6.7642001487880142e+05 1.1329229238252896e+06 1.5689231608335846e+06 1.8043331892698484e+06 1.7661303351544610e+06 1.5926716346333674e+06 1.4176426825110021e+06 1.2664463360921792e+06 1.1240032420221718e+06 9.8879185029810364e+05 8.6404928201786173e+05 7.5077751081232249e+05 6.4861459232734283e+05 5.5773329060224257e+05 4.7796345569569262e+05 4.0834922466145025e+05 3.4778887478504353e+05 2.9525988695482025e+05 2.4984927923564884e+05 2.1095581663822802e+05 1.7980183505464028e+05 1.5878964288616434e+05 1.3977233947528031e+05 1.1689203469647397e+05 9.5107909135176480e+04 7.6754243208831176e+04 6.1687675000158975e+04 4.9424979915812175e+04 3.9515235225650737e+04 3.1565336604480242e+04 2.5236183936125261e+04 2.0237199372595082e+04 1.6321057743802661e+04 1.3278754634311534e+04 1.0935038200812971e+04 9.1441797381652777e+03 7.7860874034228063e+03 6.7627551383222089e+03 5.9462464989435757e+03 5.3473320782355622e+03 4.9058485729038657e+03 4.5759965533788436e+03 4.3235416419089670e+03 4.1234245900720753e+03 3.9577496568800684e+03 3.8141176205403826e+03 3.6842694805608276e+03 3.5629762421761129e+03 3.4471731905978450e+03 3.3353434740222292e+03 3.2270117964386491e+03 3.1221813711944133e+03 3.0211331061566420e+03 2.9243015219946919e+03 2.8320153836608283e+03 2.7444718853379823e+03 2.6616118701342866e+03 2.5831391452529019e+03 2.5082701528730081e+03 2.4357152076958469e+03 2.3632127587175451e+03 2.2874007586548491e+03 2.2034423527493677e+03 2.1057287754906174e+03 1.9896457414389863e+03 1.8540249873849823e+03 1.7032143954879914e+03 1.5471119216085478e+03 1.3983428887135844e+03 1.2685778143763337e+03 1.1652457820783832e+03 1.0902721005260651e+03 1.0408189061241089e+03 1.0112194713992258e+03 9.9515617433889963e+02 9.8710341338232695e+02 9.8306794834117068e+02 9.8129911571829666e+02 9.7991834814513948e+02 9.7868547501275054e+02 9.7746325661406024e+02 9.7622468141757406e+02 9.7491249618102540e+02 9.7359909510981993e+02 9.7211824281912436e+02 9.7053366044030508e+02 9.6881600483169177e+02 9.6694263606363234e+02 9.6488595668269795e+02 9.6261474109074891e+02 9.6007767208879579e+02 9.5731289004073346e+02 9.5416920830854031e+02 9.5064487294289370e+02 9.4668860465247008e+02 9.4224551573467556e+02 9.3725892250283471e+02 9.3167184429261033e+02 9.2541502060214145e+02 9.1852874556282779e+02 9.1084783220464328e+02 9.0241777854851944e+02 8.9325792499207284e+02 8.8344023108789611e+02 8.7308695281906807e+02 8.6243064097742592e+02 8.5181163907228199e+02 8.4182613710415217e+02 8.3314612686015437e+02 8.2690567537434322e+02 8.2465418226860902e+02 8.2866338484716096e+02 8.4221953558495659e+02 8.7030382789140947e+02 9.2079763016297238e+02 1.0070358638920263e+03 3.3291746459713549e+03 +3.5348059475458532e-03 1.1450989669809924e+05 3.2151993494554085e+05 6.7567338161006081e+05 1.1317281761087310e+06 1.5674179666602241e+06 1.8028998066441333e+06 1.7651386154616799e+06 1.5922260643204232e+06 1.4176947594688009e+06 1.2669371149554020e+06 1.1248756990749314e+06 9.8998206571053935e+05 8.6549178916783573e+05 7.5240912601483078e+05 6.5037536450811056e+05 5.5957029006430297e+05 4.7983271564453683e+05 4.1021440816354140e+05 3.4962016731224989e+05 2.9703328012532444e+05 2.5154604763969014e+05 2.1256398695324155e+05 1.8133382964850953e+05 1.6030282034273239e+05 1.4126339019324028e+05 1.1828644267247956e+05 9.6370777183791957e+04 7.7880957642858470e+04 6.2681624466188856e+04 5.0292735650027433e+04 4.0265411280499946e+04 3.2207886949055617e+04 2.5781822945917324e+04 2.0696918325490205e+04 1.6705730643582312e+04 1.3598827405148857e+04 1.1200294873153607e+04 9.3635782693949350e+03 7.9676573098304489e+03 6.9135486863328852e+03 6.0707112674055679e+03 5.4513053152472403e+03 4.9940789043431869e+03 4.6522563294673628e+03 4.3907559977009087e+03 4.1838068872222084e+03 4.0129344146188582e+03 3.8652838934621968e+03 3.7322498054691382e+03 3.6083481754951840e+03 3.4903329393866961e+03 3.3765632173701597e+03 3.2664820498642102e+03 3.1600384959589283e+03 3.0574777103580741e+03 2.9592098040710539e+03 2.8655427600231264e+03 2.7766521853458667e+03 2.6924507070342720e+03 2.6126020141451982e+03 2.5362592178182426e+03 2.4620327960821219e+03 2.3874997720931365e+03 2.3090512790680505e+03 2.2215051044394677e+03 2.1188540683597953e+03 1.9961623695010971e+03 1.8522046193822273e+03 1.6916833960541958e+03 1.5252524432283774e+03 1.3664959974777059e+03 1.2279650805370536e+03 1.1176580592636928e+03 1.0376621006266735e+03 9.8495940149451394e+02 9.5349404975677066e+02 9.3650617969656196e+02 9.2808460911515783e+02 9.2396193801013681e+02 9.2221085800534547e+02 9.2087771434590195e+02 9.1970633246992554e+02 9.1855358637775441e+02 9.1738831381998330e+02 9.1615353645057564e+02 9.1492232975407046e+02 9.1353042348556903e+02 9.1204105436360351e+02 9.1042662112368691e+02 9.0866586108456795e+02 9.0673284521182381e+02 9.0459821911250060e+02 9.0221263565997253e+02 8.9961750644962626e+02 8.9666298373624807e+02 8.9335075727003323e+02 8.8963261841779718e+02 8.8545700201847546e+02 8.8077064607261150e+02 8.7551999429883904e+02 8.6963887990437649e+02 8.6317052837813230e+02 8.5595222667103326e+02 8.4802994948134608e+02 8.3942185295957222e+02 8.3019557571661255e+02 8.2046601043336375e+02 8.1045168269067869e+02 8.0047142965691478e+02 7.9109042925868744e+02 7.8293329801407822e+02 7.7706871125122518e+02 7.7495169868048504e+02 7.7871901735347001e+02 7.9145836929543270e+02 8.1785020294938874e+02 8.6529936110964707e+02 9.4634372659823339e+02 3.3703015898910548e+03 +3.5565917986044274e-03 1.1436534660622665e+05 3.2115097744686570e+05 6.7492694060258602e+05 1.1305332898227300e+06 1.5659105370265967e+06 1.8014594918016263e+06 1.7641341310653093e+06 1.5917626286717122e+06 1.4177248472298896e+06 1.2674025146685373e+06 1.1257203114115549e+06 9.9114297464167827e+05 8.6690445724105870e+05 7.5401119846766931e+05 6.5210761554967763e+05 5.6138036247714108e+05 4.8167705294499116e+05 4.1205695741519134e+05 3.5143129399785947e+05 2.9878906592850678e+05 2.5322777925214442e+05 2.1415962527520274e+05 1.8285558364924212e+05 1.6180771870028970e+05 1.4274827039592966e+05 1.1967709341122949e+05 9.7632171623283619e+04 7.9008148328894647e+04 6.3677632471430283e+04 5.1163769975365176e+04 4.1019744568239868e+04 3.2855163177963346e+04 2.6332485196655492e+04 2.1161729578083869e+04 1.7095381244891218e+04 1.3923623615581841e+04 1.1469922505332721e+04 9.5869344787002428e+03 8.1527431332230099e+03 7.0674144880405556e+03 6.1977928286770948e+03 5.5574792882126440e+03 5.0841440031246248e+03 4.7300394220493117e+03 4.4592361825041662e+03 4.2452473524522165e+03 4.0690131677993704e+03 3.9172161588489021e+03 3.7808969504630495e+03 3.6543098759473692e+03 3.5340217909205480e+03 3.4182631527073577e+03 3.3063917345775271e+03 3.1982996717855849e+03 3.0941942296639581e+03 2.9944593851807876e+03 2.8993807790010069e+03 2.8091107979016483e+03 2.7235318458772454e+03 2.6422647191215083e+03 2.5643950009071891e+03 2.4884267226385823e+03 2.4117649365524358e+03 2.3305378313476231e+03 2.2391955590562707e+03 2.1313071487119305e+03 2.0015953018196601e+03 1.8487749633530436e+03 1.6779274199241809e+03 1.5005116008544458e+03 1.3311326856106859e+03 1.1832787690895773e+03 1.0655539534752622e+03 9.8021754499343183e+02 9.2406031264226272e+02 8.9061230049775361e+02 8.7264313605763982e+02 8.6383145075532082e+02 8.5961824530544254e+02 8.5788767263587340e+02 8.5660684509805662e+02 8.5550257196717382e+02 8.5442550786783670e+02 8.5334004910902945e+02 8.5218955846786514e+02 8.5104778778978334e+02 8.4975271059673139e+02 8.4836699269661381e+02 8.4686492947915758e+02 8.4522675725987665e+02 8.4342836311719157e+02 8.4144242982586582e+02 8.3922176941324301e+02 8.3681128219089931e+02 8.3406267876679487e+02 8.3098135427309967e+02 8.2752244313879714e+02 8.2363799678082501e+02 8.1927847789094528e+02 8.1439405811027666e+02 8.0892195241746799e+02 8.0290850776498951e+02 7.9619380124945201e+02 7.8882428465154590e+02 7.8081682534544950e+02 7.7223435793388569e+02 7.6318375944964339e+02 7.5386828805268067e+02 7.4458338236678674e+02 7.3586039725285502e+02 7.2827246652443330e+02 7.2281704278582322e+02 7.2084643922866121e+02 7.2435045048792279e+02 7.3620064632913704e+02 7.6075009627457359e+02 8.0488492528268557e+02 8.8027528651614125e+02 3.4119363673982771e+03 +3.5785119210525462e-03 1.1422062658245699e+05 3.2078202287424559e+05 6.7418069420472160e+05 1.1293382753072185e+06 1.5644009004121795e+06 1.8000123517078857e+06 1.7631170632615332e+06 1.5912815685620510e+06 1.4177332215412890e+06 1.2678428331927264e+06 1.1265373796094256e+06 9.9227486540086742e+05 8.6828754771103128e+05 7.5558395139677904e+05 6.5381152268048783e+05 5.6316363439715409e+05 4.8349654183369374e+05 4.1387689505824813e+05 3.5322222848009656e+05 3.0052717309222685e+05 2.5489436313317492e+05 2.1574258680577521e+05 1.8436692168281428e+05 1.6330412718341299e+05 1.4422673507961509e+05 1.2106372360244412e+05 9.8891825605435442e+04 8.0135555629344977e+04 6.4675455105279296e+04 5.2037861291164903e+04 4.1778040417722055e+04 3.3507000244146890e+04 2.6888036171090826e+04 2.1631528476477757e+04 1.7489932794743487e+04 1.4253091467500666e+04 1.1743890650348829e+04 9.8142353270673120e+03 8.3413452522088573e+03 7.2243625517073706e+03 6.3275077733229682e+03 5.6658739189148509e+03 5.1760646178993347e+03 4.8093656482930137e+03 4.5289999976599656e+03 4.3077612399430536e+03 4.1259985006444840e+03 3.9699244733794549e+03 3.8302187285441878e+03 3.7008672440904020e+03 3.5782440492887204e+03 3.4604462531374757e+03 3.3467426922117720e+03 3.2369657384866587e+03 3.1312825632299300e+03 3.0300492176348789e+03 2.9335273691400012e+03 2.8418444685534960e+03 2.7548505828562274e+03 2.6721206878303501e+03 2.5926684088293082e+03 2.5148843516736219e+03 2.4359904666223902e+03 2.3518349838267773e+03 2.2564769323565279e+03 2.1430348231365110e+03 2.0058688563494352e+03 1.8436317115571087e+03 1.6618087634672720e+03 1.4727162213604922e+03 1.2920455694390332e+03 1.1342815537206868e+03 1.0086723841816851e+03 9.1766030956899453e+02 8.5783254965499987e+02 8.2227890432843833e+02 8.0326871268748914e+02 7.9404449421494655e+02 7.8973727649123816e+02 7.8803013436721028e+02 7.8680658791589042e+02 7.8577536388798990e+02 7.8478054714601717e+02 7.8378178591849496e+02 7.8272285447862805e+02 7.8167817537351971e+02 7.8048826122345758e+02 7.7921511515040015e+02 7.7783509285308105e+02 7.7633005834260348e+02 7.7467787094561288e+02 7.7285342607051393e+02 7.7081189489885048e+02 7.6860189585441685e+02 7.6607693064578552e+02 7.6324637611747880e+02 7.6006899775574914e+02 7.5650077440385280e+02 7.5249621377748724e+02 7.4800953634283815e+02 7.4298164349261913e+02 7.3746220411403817e+02 7.3129442046828581e+02 7.2452522154036876e+02 7.1717007542774468e+02 7.0928680774413510e+02 7.0097359021001830e+02 6.9241710031303592e+02 6.8388737779533392e+02 6.7587898221610169e+02 6.6890922296499434e+02 6.6389816511369975e+02 6.6208658143004266e+02 6.6530463644397935e+02 6.7618918028654423e+02 6.9873774628821923e+02 7.3927313624640794e+02 8.0852303872531729e+02 3.4540852449582330e+03 +3.6005671424367671e-03 1.1407573660595727e+05 3.2041306742167752e+05 6.7343462554447260e+05 1.1281431245321040e+06 1.5628891007176596e+06 1.7985585182423494e+06 1.7620876073203604e+06 1.5907831306811776e+06 1.4177201537120366e+06 1.2682583663061769e+06 1.1273272031329514e+06 9.9337802529457642e+05 8.6964132227383996e+05 7.5712760922539735e+05 6.5548726564975490e+05 5.6492023593362630e+05 4.8529126100743463e+05 4.1567424894992594e+05 3.5499295017740602e+05 3.0224753648224118e+05 2.5654569461991309e+05 2.1731273296213042e+05 1.8586767442450326e+05 1.6479184096169245e+05 1.4569854486188729e+05 1.2244607472667149e+05 1.0014947594638575e+05 8.1262922336332573e+04 6.5674849644031041e+04 5.2914788008432697e+04 4.2540103123806686e+04 3.4163231196951303e+04 2.7448338784451622e+04 2.2106207353714461e+04 1.7889305296268107e+04 1.4587175884498271e+04 1.2022165715422745e+04 1.0045464891924219e+04 8.5334615124388565e+03 7.3844007502645482e+03 6.4598709933653809e+03 5.7765078399255526e+03 5.2698605630978764e+03 4.8902541771358492e+03 4.6000648100127419e+03 4.3713635163839508e+03 4.1839028013129891e+03 4.0234187468761670e+03 3.8802228256332173e+03 3.7480260543550139e+03 3.6230038823604946e+03 3.5031153393255249e+03 3.3875365922944857e+03 3.2760373415239869e+03 3.1687423907578004e+03 3.0659780051064222e+03 2.9679801751111158e+03 2.8748496147060973e+03 2.7864018283801265e+03 2.7021628845640444e+03 2.6210697772052922e+03 2.5413923222524604e+03 2.4601576253233138e+03 2.3729160166737038e+03 2.2733106541246580e+03 2.1539813987896778e+03 2.0089038842802984e+03 1.8366658717623714e+03 1.6431836321777880e+03 1.4416855594666526e+03 1.2490182736331083e+03 1.0807258798873847e+03 9.4674106482746572e+02 8.4970036430486300e+02 7.8597466705648162e+02 7.4818593148913089e+02 7.2807184557723235e+02 7.1841151720932089e+02 7.1400665424577949e+02 7.1232604183128853e+02 7.1116502592954953e+02 7.1021312805098171e+02 7.0930749489569132e+02 7.0840270340103098e+02 7.0744301404507428e+02 7.0650351363735456e+02 7.0542756664836020e+02 7.0427641624871228e+02 7.0302865133720650e+02 7.0166789957480557e+02 7.0017415747952089e+02 6.9852471846190167e+02 6.9667732424268695e+02 6.9468455317215478e+02 6.9240194466537082e+02 6.8984314888093468e+02 6.8697086661396941e+02 6.8374533250823879e+02 6.8012543770559978e+02 6.7606979050607481e+02 6.7152330064867101e+02 6.6653917022806888e+02 6.6096408128975759e+02 6.5484543984535753e+02 6.4819719799285986e+02 6.4107164452376981e+02 6.3355751727579207e+02 6.2582352573759658e+02 6.1811219768424587e+02 6.1087815701240334e+02 6.0457830269411807e+02 6.0004879941719526e+02 5.9840955796412106e+02 6.0131773029873011e+02 6.1115581106351783e+02 6.3153605181843329e+02 6.6817080982220250e+02 7.3076635758831139e+02 3.4967545662820162e+03 +3.6227582954040140e-03 1.1393067011761347e+05 3.2004410562299262e+05 6.7268875709205994e+05 1.1269478512908400e+06 1.5613751953001178e+06 1.7970980660512587e+06 1.7610459329219426e+06 1.5902675407164271e+06 1.4176859152470573e+06 1.2686494075268561e+06 1.1280900800075219e+06 9.9445274050510477e+05 8.7096604269821057e+05 7.5864239763459936e+05 6.5713502656983701e+05 5.6665030060201546e+05 4.8706129347557068e+05 4.1744905202003394e+05 3.5674344415392145e+05 3.0395009698393114e+05 2.5818167522765830e+05 2.1886993130205688e+05 1.8735767855251298e+05 1.6627066113128743e+05 1.4716346600168786e+05 1.2382389311701419e+05 1.0140486322577970e+05 8.2389993801756282e+04 6.6675574702608355e+04 5.3794328713080227e+04 4.3305736111187456e+04 3.4823687337091789e+04 2.8013253522506446e+04 2.2585655644596514e+04 1.8293415596158258e+04 1.4925818570580583e+04 1.2304710992967344e+04 1.0280604373158150e+04 8.7290872120415024e+03 7.5475347914553331e+03 6.5948956420440563e+03 5.8893983499228934e+03 5.3655506745299999e+03 4.9727234885539128e+03 4.6724475166811771e+03 4.4360688318265720e+03 4.2427382385035999e+03 4.0777087236828856e+03 3.9309167856419322e+03 3.7957919427652787e+03 3.6683053112276789e+03 3.5462730699759654e+03 3.4287749231802086e+03 3.3155149230277270e+03 3.2065731632904067e+03 3.1022441929515394e+03 3.0027365472183878e+03 2.9081223139749704e+03 2.8181800938101187e+03 2.7323837947359357e+03 2.6495888518340239e+03 2.5679365248212430e+03 2.4842466940023833e+03 2.3937528817374109e+03 2.2896563134953030e+03 2.1640886084480530e+03 2.0106176684331385e+03 1.8277636330853513e+03 1.6219019699134453e+03 1.4072310893409197e+03 1.2018251873830100e+03 1.0223536905469190e+03 8.7947620473117252e+02 7.7603545809105412e+02 7.0817253790100938e+02 6.6801250973046547e+02 6.4672840250292234e+02 6.3660718327194252e+02 6.3210088159425504e+02 6.3045008167007143e+02 6.2935714234229954e+02 6.2849119852272099e+02 6.2768207163701322e+02 6.2687892686955126e+02 6.2602659012427694e+02 6.2520080523297793e+02 6.2424811941973530e+02 6.2322891291149529e+02 6.2212419033317531e+02 6.2091948650561187e+02 6.1959710925651530e+02 6.1813694568381106e+02 6.1649953130214590e+02 6.1474165913654110e+02 6.1272116735834436e+02 6.1045628695140056e+02 6.0791397521321630e+02 6.0505906922584882e+02 6.0185520078301568e+02 5.9826572390038223e+02 5.9423989660149982e+02 5.8983467672207303e+02 5.8490060113771437e+02 5.7948555239355176e+02 5.7360184338748888e+02 5.6729577443662765e+02 5.6064588038848558e+02 5.5380143821590184e+02 5.4697523316420200e+02 5.4057863791196735e+02 5.3500330049355284e+02 5.3099460970236396e+02 5.2954177422117004e+02 5.3211480617981942e+02 5.4082111637796800e+02 5.5885627400950852e+02 5.9127244869394042e+02 6.4667115184278043e+02 3.5399507532787807e+03 +3.6450862177330127e-03 1.1378542600123120e+05 3.1967514183618192e+05 6.7194307117385382e+05 1.1257524745274927e+06 1.5598592205207264e+06 1.7956311531308517e+06 1.7599922088863465e+06 1.5897350376780338e+06 1.4176307771313507e+06 1.2690162467819136e+06 1.1288263068311904e+06 9.9549929635122127e+05 8.7226197066385893e+05 7.6012854358260753e+05 6.5875498973704863e+05 5.6835396517221886e+05 4.8880672642228915e+05 4.1920134213122790e+05 3.5847370099043916e+05 3.0563480138160026e+05 2.5980221254887653e+05 2.2041405544637612e+05 1.8883677669437305e+05 1.6774039469430118e+05 1.4862127041529043e+05 1.2519693001537972e+05 1.0265773188019748e+05 8.3516518061725073e+04 6.7677390381286939e+04 5.4676262324482937e+04 4.4074742095843380e+04 3.5488198370896018e+04 2.8582638580164992e+04 2.3069760002342478e+04 1.8702177475202632e+04 1.5268958072773212e+04 1.2591486695639145e+04 1.0519632103215945e+04 8.9282150908163294e+03 7.7137681911812479e+03 6.7325930961010745e+03 6.0045613706762715e+03 5.4631527659908852e+03 5.0567913332326543e+03 4.7461645098138624e+03 4.5018914902898832e+03 4.3025167376248073e+03 4.1328039636627200e+03 3.9823079951963200e+03 3.8441703943509569e+03 3.7141521994076047e+03 3.5899219320949442e+03 3.4704589828667149e+03 3.3553987127318260e+03 3.2447740939276700e+03 3.1388459583812705e+03 3.0377935307744870e+03 2.9416582923978272e+03 2.8501794780414775e+03 2.7627754091897218e+03 2.6782147697780174e+03 2.5945020776405217e+03 2.5082369419361116e+03 2.4143161620617520e+03 2.3054716038906295e+03 2.1732955351193900e+03 2.0109238211619383e+03 1.8168062313531962e+03 1.5978072878137255e+03 1.3691562960559954e+03 1.1502312206854781e+03 9.5889615224080683e+02 8.0658221151821431e+02 6.9635080439068020e+02 6.2409902866571656e+02 5.8142449314700730e+02 5.5890084896838903e+02 5.4829270666463663e+02 5.4368100673154868e+02 5.4206349357655188e+02 5.4104448578055951e+02 5.4027148933923786e+02 5.3956659384613874e+02 5.3887319432355207e+02 5.3813676604342163e+02 5.3743370176537121e+02 5.3661408129011181e+02 5.3573731294028380e+02 5.3478700962322671e+02 5.3375076469943974e+02 5.3261338097516409e+02 5.3135754567268145e+02 5.2994682371000783e+02 5.2844249100161028e+02 5.2670496057018022e+02 5.2475736830320659e+02 5.2257126683587830e+02 5.2011646134111254e+02 5.1736170109710656e+02 5.1427546336287674e+02 5.1081171314649026e+02 5.0703139827115871e+02 5.0278930676893168e+02 4.9813379689560418e+02 4.9307541239370846e+02 4.8765398866119585e+02 4.8193704622782815e+02 4.7605288466258298e+02 4.7018219377495382e+02 4.6468959703695049e+02 4.5989638598133854e+02 4.5644992034578189e+02 4.5519832660239746e+02 4.5740957420162204e+02 4.6489412407580113e+02 4.8039773903231770e+02 5.0825992786769280e+02 5.5588952061221630e+02 3.5836803070175106e+03 +3.6675517523659185e-03 1.1364000098319308e+05 3.1930616489991092e+05 6.7119758498410753e+05 1.1245570080156417e+06 1.5583412393316149e+06 1.7941578491246542e+06 1.7589266330213917e+06 1.5891858432032466e+06 1.4175550054401022e+06 1.2693591710255314e+06 1.1295361780791203e+06 9.9651797755040496e+05 8.7352936767974216e+05 7.6158627516901644e+05 6.6034734147634532e+05 5.7003136950886645e+05 4.9052765106109745e+05 4.2093116194309358e+05 3.6018371665017644e+05 3.0730160223791283e+05 2.6140722015183888e+05 2.2194498500036402e+05 1.9030481737369485e+05 1.6920085453238065e+05 1.5007173568640812e+05 1.2656494162197475e+05 1.0390783029144524e+05 8.4642245955537772e+04 6.8680058407407225e+04 5.5560368251376749e+04 4.4846923243950994e+04 3.6156592563333717e+04 2.9156350000490467e+04 2.3558404416827834e+04 1.9115501741446100e+04 1.5616529847031905e+04 1.2882449995242328e+04 1.0762523561145070e+04 9.1308353231431392e+03 7.8831022500341151e+03 6.8729729205797230e+03 6.1220114058615518e+03 5.5626835869419920e+03 5.1424746927280585e+03 4.8212316414350780e+03 4.5688454201723362e+03 4.3632499566926299e+03 4.1887138228212825e+03 4.0344036680468594e+03 3.8931667302768560e+03 3.7605482417996850e+03 3.6340642310545909e+03 3.5125898695908545e+03 3.3956887187153202e+03 3.2833441483735492e+03 3.1757812005422884e+03 3.0731478553875404e+03 2.9754529125518266e+03 2.8823936539974370e+03 2.7933292083917358e+03 2.7069360403127221e+03 2.6210733030352799e+03 2.5321065956902012e+03 2.4345750311427851e+03 2.3207122676183899e+03 2.1815385362576772e+03 2.0097321818907103e+03 1.8036698142000596e+03 1.5707364930924916e+03 1.3272564671939115e+03 1.0939915610435439e+03 8.9007338187095490e+02 7.2775139450178108e+02 6.1031876799073336e+02 5.3341367538472286e+02 4.8807413232522350e+02 4.6423791549355229e+02 4.5311551865907944e+02 4.4839428922483035e+02 4.4681373670392935e+02 4.4587483701721175e+02 4.4520216158929276e+02 4.4460964143610880e+02 4.4403452435433201e+02 4.4342302383382440e+02 4.4285217259328221e+02 4.4217595251841465e+02 4.4145268485421263e+02 4.4066879378814059e+02 4.3981409078709726e+02 4.3887606725032219e+02 4.3784042814269338e+02 4.3667401625528106e+02 4.3544287261643325e+02 4.3401027686327581e+02 4.3240461109944050e+02 4.3060238049029664e+02 4.2857874374674589e+02 4.2630796486298385e+02 4.2376404231957173e+02 4.2090602632959894e+02 4.1779910113999659e+02 4.1430272441173292e+02 4.1046572894544886e+02 4.0629675235040486e+02 4.0182866285012460e+02 3.9711711139786757e+02 3.9226779161986093e+02 3.8742681767815725e+02 3.8290837598389271e+02 3.7895802018331324e+02 3.7611743478191858e+02 3.7508272197589292e+02 3.7690409855046147e+02 3.8307202560742951e+02 3.9584754201235012e+02 4.1880218141006651e+02 4.5805941082976216e+02 3.6279498087016159e+03 +3.6901557474401407e-03 1.1349439213003352e+05 3.1893717806059704e+05 6.7045227071374026e+05 1.1233614454609684e+06 1.5568212751292700e+06 1.7926782552272999e+06 1.7578493594491514e+06 1.5886201880829604e+06 1.4174588608337974e+06 1.2696784646682341e+06 1.1302199855927541e+06 9.9750906798917078e+05 8.7476849506193446e+05 7.6301582138679689e+05 6.6191227003700915e+05 5.7168265642511868e+05 4.9222416249783488e+05 4.2263855877625704e+05 3.6187349234693201e+05 3.0895045777266537e+05 2.6299661747757491e+05 2.2346260547244060e+05 1.9176165495261768e+05 1.7065185937795357e+05 1.5151464507020632e+05 1.2792768914037362e+05 1.0515491086730278e+05 8.5766931238736128e+04 6.9683342272304726e+04 5.6446426542815425e+04 4.5622081328036227e+04 3.6828696889785140e+04 2.9734241813749981e+04 2.4051470334392470e+04 1.9533296326013835e+04 1.5968466327638900e+04 1.3177555065556859e+04 1.1009251390563157e+04 9.3369355146492817e+03 8.0555360331788870e+03 7.0160428362269286e+03 6.2417615017373510e+03 5.6641587813754441e+03 5.2297897402200369e+03 4.8976641884301043e+03 4.6369441445034618e+03 4.4249492619143830e+03 4.2454474336042322e+03 4.0872108290953024e+03 3.9427860946773962e+03 3.8074969534027732e+03 3.6787020804720432e+03 3.5551684723305721e+03 3.4363847180490802e+03 3.3222820354110986e+03 3.2130475305095570e+03 3.1087959241348126e+03 3.0095011615806043e+03 2.9148158550156686e+03 2.8240361465214050e+03 2.7357405257418545e+03 2.6476337034770090e+03 2.5558328082892181e+03 2.4544972119113099e+03 2.3353320401771762e+03 2.1887511676709819e+03 2.0069487143681242e+03 1.7882253060083549e+03 1.5405197179289069e+03 1.2813184848507231e+03 1.0328514309213849e+03 8.1559417456204881e+02 6.4266366941915078e+02 5.1759855332077768e+02 4.3576236148589550e+02 3.8759974627444666e+02 3.6237426673073463e+02 3.5070893564834512e+02 3.4587386805187595e+02 3.4433415791681659e+02 3.4348187753601445e+02 3.4291729234225431e+02 3.4244572707937925e+02 3.4199788587451582e+02 3.4152081440424320e+02 3.4109217545660584e+02 3.4057024299575596e+02 3.4001212955292334e+02 3.3940728445032596e+02 3.3874790534521429e+02 3.3802437618230016e+02 3.3722564892069340e+02 3.3632210607302613e+02 3.3538485056773783e+02 3.3428033671897560e+02 3.3304255208245684e+02 3.3165333064195426e+02 3.3009359067506318e+02 3.2834352934267042e+02 3.2638308559084959e+02 3.2417679336304963e+02 3.2179433243837025e+02 3.1910027162266476e+02 3.1614391673150374e+02 3.1293185495743683e+02 3.0948945825328508e+02 3.0585960704677103e+02 3.0212367348979234e+02 2.9839058347117390e+02 2.9492020102669409e+02 2.9187667367448290e+02 2.8968795575825465e+02 2.8888659868514759e+02 2.9028851713976468e+02 2.9503989109291786e+02 3.0488025258973477e+02 3.2255489092579262e+02 3.5280427655434380e+02 3.6727659206544472e+03 +3.7128990563203602e-03 1.1334859387182232e+05 3.1856817744129623e+05 6.6970715995680925e+05 1.1221658206522735e+06 1.5552993707689347e+06 1.7911924820062399e+06 1.7567605751048366e+06 1.5880382972511158e+06 1.4173426042567773e+06 1.2699744105924109e+06 1.1308780194177185e+06 9.9847285034666548e+05 8.7597961391005607e+05 7.6441741190737393e+05 6.6344996551682090e+05 5.7330797155345068e+05 4.9389635959460604e+05 4.2432358447519277e+05 3.6354303441253863e+05 3.1058133174067945e+05 2.6457032973527914e+05 2.2496680818991314e+05 1.9320714957198512e+05 1.7209323378047888e+05 1.5294978749528562e+05 1.2928493881584928e+05 1.0639873011810017e+05 8.6890330690717165e+04 7.0687007363111232e+04 5.7334218035616577e+04 4.6400017880529609e+04 3.7504337186427329e+04 3.0316166176453426e+04 2.4548836778718702e+04 1.9955466381057911e+04 1.6324696999687498e+04 1.3476753128639672e+04 1.1259785421465311e+04 9.5465007024967526e+03 8.2310663534388896e+03 7.1618086895478164e+03 6.3638232097452201e+03 5.7675928478999322e+03 5.3187518019382642e+03 4.9754768177548358e+03 4.7062007511599004e+03 4.4876257030391171e+03 4.3030136848787943e+03 4.1407362981717642e+03 3.9930334411905178e+03 3.8550016577939523e+03 3.7238373918984694e+03 3.5981954611116139e+03 3.4774862473205744e+03 3.3615861972709972e+03 3.2506422611665794e+03 3.1447338026752345e+03 3.0437976391326852e+03 2.9474388611303084e+03 2.8548866354492070e+03 2.7646154220838184e+03 2.6741659375357208e+03 2.5793916282192222e+03 2.4740489355462751e+03 2.3492825943248345e+03 2.1948641072093192e+03 2.0024754037756622e+03 1.7703382728750125e+03 1.5069801486552651e+03 1.2311206182968822e+03 9.6654584626295764e+02 7.3515573297310073e+02 5.5098626494347650e+02 4.1783589478111776e+02 3.3077699779453002e+02 2.7962539661109628e+02 2.5293017287834712e+02 2.4069182958768727e+02 2.3573843197149506e+02 2.3424366237299876e+02 2.3348486042288897e+02 2.3303654589466325e+02 2.3269496784750302e+02 2.3238387017044030e+02 2.3205123002299442e+02 2.3177532941721972e+02 2.3141914568385886e+02 2.3103845428409019e+02 2.3062595481706458e+02 2.3017640806482058e+02 2.2968330521732767e+02 2.2913908657020716e+02 2.2851795010966092e+02 2.2789637258684053e+02 2.2714430800052622e+02 2.2630172722055434e+02 2.2535618918717782e+02 2.2429479916303271e+02 2.2310412798203407e+02 2.2177049640543095e+02 2.2026434173530589e+02 2.1866011156161605e+02 2.1682795130139687e+02 2.1481763788027450e+02 2.1263355619583456e+02 2.1029302493860766e+02 2.0782520556650442e+02 2.0528534280525042e+02 2.0274242402469170e+02 2.0039790032259793e+02 1.9832854669669467e+02 1.9684010754746706e+02 1.9628944951044411e+02 1.9724076322162142e+02 2.0047038638648240e+02 2.0715762255280814e+02 2.1916017621692171e+02 2.3973274067584902e+02 3.7181353873184084e+03 +3.7357825376307489e-03 1.1320260656533293e+05 3.1819915685725509e+05 6.6896222636988387e+05 1.1209701241931506e+06 1.5537755681640715e+06 1.7897006560963274e+06 1.7556604438546440e+06 1.5874403908614828e+06 1.4172064942111026e+06 1.2702472903893208e+06 1.1315105680538882e+06 9.9940960588749824e+05 8.7716298509782890e+05 7.6579127699252893e+05 6.6496061978406063e+05 5.7490746322826436e+05 4.9554434483425156e+05 4.2598629527208552e+05 3.6519235416464414e+05 3.1219419331052637e+05 2.6612828779757401e+05 2.2645749021523705e+05 1.9464116708769457e+05 1.7352480806980314e+05 1.5437695755813323e+05 1.3063646196961653e+05 1.0763904872657347e+05 8.8012204216762970e+04 7.1690821089614154e+04 5.8223524497332917e+04 4.7180534343781510e+04 3.8183338298789276e+04 3.0901973509932410e+04 2.5050380472828150e+04 2.0381914380056241e+04 1.6685148474519203e+04 1.3779992504826536e+04 1.1514092695756224e+04 9.7595133593529226e+03 8.4096877577126561e+03 7.3102744256130300e+03 6.4882065511948986e+03 5.8729991012376768e+03 5.4093753193233797e+03 5.0546835519134484e+03 4.7766278630082115e+03 4.5512899885059733e+03 4.3614212016516994e+03 4.1949866734859897e+03 4.0439135192995127e+03 3.9030654754202742e+03 3.7694718643464407e+03 3.6416712772025098e+03 3.5189925930507870e+03 3.4012547998901123e+03 3.2885623970200163e+03 3.1809572082771056e+03 3.0783365452366329e+03 2.9802549853064565e+03 2.8858705286364984e+03 2.7935472396826085e+03 2.7006517957240399e+03 2.6027579682749674e+03 2.4931949000724094e+03 2.3625134839748239e+03 2.1998050782908253e+03 1.9962101537879475e+03 1.7498687877506177e+03 1.4699338554650910e+03 1.1764323175869813e+03 8.9479937641363449e+02 6.4844339844123988e+02 4.5237343138436330e+02 3.1066274953223143e+02 2.1807520517118905e+02 1.6376056448582798e+02 1.3551118388765528e+02 1.2266830123910441e+02 1.1759189270570620e+02 1.1614638691454905e+02 1.1548828406456464e+02 1.1516484782817029e+02 1.1496275965818047e+02 1.1479836575556988e+02 1.1462067960160374e+02 1.1450859059105291e+02 1.1433021283843918e+02 1.1413984939524977e+02 1.1393368700279346e+02 1.1370923569667376e+02 1.1346331977587144e+02 1.1319212177433594e+02 1.1287394534617867e+02 1.1259096870787567e+02 1.1221698815602147e+02 1.1179835508456603e+02 1.1132877014317307e+02 1.1080197522242183e+02 1.1021137824193379e+02 1.0955014608919687e+02 1.0879506097773758e+02 1.0802562426104336e+02 1.0711804832153297e+02 1.0612257889302218e+02 1.0504123881574375e+02 1.0388270754421310e+02 1.0266142979153624e+02 1.0140462298146211e+02 1.0013844276294340e+02 9.9001623529643027e+01 9.7977291667093667e+01 9.7240060533103318e+01 9.6958347000779213e+01 9.7426289381848761e+01 9.9023492553454815e+01 1.0232829596162350e+02 1.0824628858464274e+02 1.1843825951158608e+02 3.7640650362650254e+03 +3.7588070552873835e-03 1.1305642436338530e+05 3.1783011687597266e+05 6.6821748028779647e+05 1.1197743675814788e+06 1.5522499161079894e+06 1.7882028555087631e+06 1.7545491242042289e+06 1.5868266903596884e+06 1.4170507882432609e+06 1.2704973835286566e+06 1.1321179180283945e+06 1.0003196143704311e+06 8.7831886933052621e+05 7.6713764749645721e+05 6.6644442636939848e+05 5.7648128237994143e+05 4.9716822418770171e+05 4.2762675164862297e+05 3.6682146777459054e+05 3.1378901694398158e+05 2.6767042809463490e+05 2.2793455425884406e+05 1.9606357900751673e+05 1.7494641831574473e+05 1.5579595551503365e+05 1.3198203502605492e+05 1.0887563161270224e+05 8.9132314944735233e+04 7.2694553005610840e+04 5.9114128765190864e+04 4.7963432217612179e+04 3.8865524228482689e+04 3.1491512638685006e+04 2.5555975961725977e+04 2.0812540219767216e+04 1.7049744567985763e+04 1.4087218665976723e+04 1.1772137496384290e+04 9.9759534009342806e+03 8.5913925166918507e+03 7.4614420635790721e+03 6.6149199839817347e+03 5.9803896351206586e+03 5.5016738120546115e+03 5.1352977348633840e+03 4.8482376081533730e+03 4.6159524604538883e+03 4.4206783245418810e+03 4.2499683148574004e+03 4.0954308603887230e+03 3.9516913116733185e+03 3.8156069736395712e+03 3.6855961231754482e+03 3.5609027819865787e+03 3.4412857231185449e+03 3.3268046239531636e+03 3.2174614987751897e+03 3.1131116680896926e+03 3.0132560595899558e+03 2.9169771049637475e+03 2.8225217837212172e+03 2.7270721762225085e+03 2.6259055743111371e+03 2.5118982288852371e+03 2.3749720879523725e+03 2.2034987733628136e+03 1.9880466837093768e+03 1.7266712959197837e+03 1.4291896228351800e+03 1.1170140083828092e+03 8.1732590577339613e+02 5.5513038434524890e+02 3.4646615201024309e+02 1.9569699319566953e+02 9.7260000258596889e+01 3.9599830725919155e+01 9.7078069422367808e+00 -3.7726432812083499e+00 -8.9769385735143281e+00 -1.0368623234508547e+01 -1.0918430846965194e+01 -1.1107937635453794e+01 -1.1160544985209341e+01 -1.1167763487320547e+01 -1.1179432738475796e+01 -1.1116068835808360e+01 -1.1103964487748257e+01 -1.1090431644190332e+01 -1.1075547383581144e+01 -1.1058856744454911e+01 -1.1039964866409626e+01 -1.1018680036577315e+01 -1.1012287742984538e+01 -1.0932564349173356e+01 -1.0901510362334598e+01 -1.0865976574108860e+01 -1.0825682467761359e+01 -1.0779776814993719e+01 -1.0727527415024884e+01 -1.0668433105497035e+01 -1.0618902449653556e+01 -1.0494080185093509e+01 -1.0411170769411612e+01 -1.0319462374719869e+01 -1.0219462167470198e+01 -1.0111745987315262e+01 -9.9976348545043106e+00 -9.8799360275834331e+00 -9.7783671850133373e+00 -9.6214357372832104e+00 -9.5262615042033918e+00 -9.4587414169122752e+00 -9.4523284165598014e+00 -9.5022056719858021e+00 -9.6537718087179591e+00 -9.9724777906893429e+00 -1.0572692763866392e+01 -1.1501209204204818e+01 3.8105617792180983e+03 +3.7819734785308613e-03 1.1291004349357662e+05 3.1746105160494801e+05 6.6747292067806108e+05 1.1185785683315990e+06 1.5507224422263696e+06 1.7866991608823994e+06 1.7534268011744844e+06 1.5861974113589984e+06 1.4168757373075576e+06 1.2707249662175737e+06 1.1327003536162782e+06 1.0012031541021664e+06 8.7944752707784646e+05 7.6845675486877549e+05 6.6790158033599146e+05 5.7802958242440445e+05 4.9876810698221507e+05 4.2924501819873683e+05 3.6843039613982540e+05 3.1536578227634792e+05 2.6919669250791328e+05 2.2939790859066288e+05 1.9747426242217488e+05 1.7635790628455704e+05 1.5720658726838525e+05 1.3332143953690992e+05 1.1010824799295969e+05 9.0250429315772053e+04 7.3697974926145427e+04 6.0005814880754318e+04 4.8748513203072776e+04 3.9550718277993139e+04 3.2084630927644692e+04 2.6065495735725479e+04 2.1247241324068054e+04 1.7418406381253819e+04 1.4398374291958246e+04 1.2033881380055267e+04 1.0195798197091997e+04 8.7761706177851211e+03 7.6153116749727242e+03 6.7439703715195747e+03 6.0897752866842493e+03 5.5956598419803076e+03 5.2173319982848743e+03 4.9210415902318991e+03 4.6816230696067123e+03 4.4807930890447633e+03 4.3056873266892535e+03 4.1475897635831734e+03 4.0008818447778835e+03 3.8622439616314891e+03 3.7299699528638021e+03 3.6032155713418124e+03 3.4816765508209628e+03 3.3653652988974304e+03 3.2542416614987728e+03 3.1481163718328353e+03 3.0464334212257404e+03 2.9481950525239763e+03 2.8515241346915282e+03 2.7534070605642687e+03 2.6488069939130442e+03 2.5301204291346580e+03 2.3866035536991249e+03 2.2058667773603711e+03 1.9778744257930150e+03 1.7005944809814671e+03 1.3845487809132219e+03 1.0526168882688928e+03 7.3382839751861275e+02 4.5487751207180401e+02 2.3289185741611396e+02 7.2542118929265854e+01 -3.2080515185928583e+01 -9.3277440311022104e+01 -1.2490481229074049e+02 -1.3905741216422308e+02 -1.4439467095518609e+02 -1.4572773397157832e+02 -1.4616126051654501e+02 -1.4620732648672524e+02 -1.4609995546457586e+02 -1.4593899637993442e+02 -1.4577302531886025e+02 -1.4552197781981852e+02 -1.4530607317665900e+02 -1.4507438845834167e+02 -1.4482300289598010e+02 -1.4454831102851597e+02 -1.4424609795850472e+02 -1.4391188232533776e+02 -1.4355821801171666e+02 -1.4309047508453398e+02 -1.4262607098226897e+02 -1.4210462055970336e+02 -1.4151880306823077e+02 -1.4086016129936209e+02 -1.4012012690276308e+02 -1.3929035155984784e+02 -1.3837994668629528e+02 -1.3729838824347715e+02 -1.3615575452002366e+02 -1.3490087073889367e+02 -1.3353695051508134e+02 -1.3207447225417062e+02 -1.3053162483184562e+02 -1.2894333873038713e+02 -1.2737840053124243e+02 -1.2583731418683881e+02 -1.2454437686920879e+02 -1.2361585037222724e+02 -1.2330115712964135e+02 -1.2390504711297781e+02 -1.2592762498882382e+02 -1.3012312754482261e+02 -1.3769716074081754e+02 -1.5052353442703082e+02 3.8576326130893713e+03 +3.8052826819591165e-03 1.1276346271797596e+05 3.1709196408183075e+05 6.6672854598733853e+05 1.1173827164555779e+06 1.5491932017238431e+06 1.7851897066108542e+06 1.7522936207487371e+06 1.5855527673512672e+06 1.4166815910081498e+06 1.2709303099142369e+06 1.1332581568810232e+06 1.0020605021303036e+06 8.8054921821751958e+05 7.6974883111129142e+05 6.6933227815175080e+05 5.7955251916324440e+05 5.0034410577082017e+05 4.3084116349766345e+05 3.7001916475493368e+05 3.1692447399764828e+05 2.7070702826218499e+05 2.3084746695106110e+05 1.9887309993691527e+05 1.7775911939158177e+05 1.5860866435023342e+05 1.3465446219858120e+05 1.1133667143364073e+05 9.1366317170194408e+04 7.4700861038832954e+04 6.0898368220127981e+04 4.9535579343125908e+04 4.0238743193206159e+04 3.2681174418783172e+04 2.6578810353949364e+04 2.1685912749095965e+04 1.7791052384063689e+04 1.4713399330251148e+04 1.2299283213325205e+04 1.0419022586330077e+04 8.9640097613739272e+03 7.7718813648513169e+03 6.8753629538485957e+03 6.2011656024657505e+03 5.6913449780482333e+03 5.3007982284288955e+03 4.9950508589115243e+03 4.7483113501211365e+03 4.5417732046388282e+03 4.3621495407339298e+03 4.2003942814154070e+03 4.0506395135005764e+03 3.9093838252683659e+03 3.7747924611777016e+03 3.6459294389095535e+03 3.5224245609410418e+03 3.4042404394640735e+03 3.2912923021288075e+03 3.1833435842668564e+03 3.0797778987146053e+03 2.9795124523466752e+03 2.8805386288148329e+03 2.7796354892558325e+03 2.6714335449909613e+03 2.5478213501056621e+03 2.3973507409594081e+03 2.2068274912790489e+03 1.9655784228721564e+03 1.6714811314889198e+03 1.3358050380602631e+03 9.8298272483838809e+02 6.4399865973407645e+02 3.4733294997755456e+02 1.1126414336988719e+02 -5.9213059666469064e+01 -1.7037346089467232e+02 -2.3530741268560433e+02 -2.6876720414519872e+02 -2.8362814327556339e+02 -2.8910364920481658e+02 -2.9037303752310942e+02 -2.9068189295361452e+02 -2.9057452949291559e+02 -2.9029615723619878e+02 -2.8995546824391300e+02 -2.8959965228554034e+02 -2.8914807940553840e+02 -2.8871439051576010e+02 -2.8824958572814268e+02 -2.8774547166318786e+02 -2.8719507652142789e+02 -2.8659010342549169e+02 -2.8592148687110563e+02 -2.8519671225532534e+02 -2.8431436493036995e+02 -2.8338687971352715e+02 -2.8234617580292451e+02 -2.8117740882617545e+02 -2.7986399413689219e+02 -2.7838898978398686e+02 -2.7673566176680896e+02 -2.7490531194373563e+02 -2.7280141737199182e+02 -2.7052635935394659e+02 -2.6802850375696084e+02 -2.6531395589211127e+02 -2.6240377636731353e+02 -2.5933417913052580e+02 -2.5617442131996671e+02 -2.5304571364342914e+02 -2.5002554944411335e+02 -2.4745268024513297e+02 -2.4560408013893749e+02 -2.4495994542273570e+02 -2.4615585036489867e+02 -2.5017779288831889e+02 -2.5851604012894882e+02 -2.7354227636763699e+02 -2.9908273549670474e+02 3.9052846210267489e+03 +3.8287355455604382e-03 1.1261667617332505e+05 3.1672284326679009e+05 6.6598434788877273e+05 1.1161868510653549e+06 1.5476622244930102e+06 1.7836745646319499e+06 1.7511497490844966e+06 1.5848929690311195e+06 1.4164685963465564e+06 1.2711136829874981e+06 1.1337916078008236e+06 1.0028919343732977e+06 8.8162420171592839e+05 7.7101410866580333e+05 6.7073671758412267e+05 5.8105025067845220e+05 5.0189633620703022e+05 4.3241525997055543e+05 3.7158780358701019e+05 3.1846508173526957e+05 2.7220138781959307e+05 2.3228314845968006e+05 2.0025997959990136e+05 1.7914991065216030e+05 1.6000200390005004e+05 1.3598089486619012e+05 1.1256067989998250e+05 9.2479751827803804e+04 7.5702988010608344e+04 6.1791575619645082e+04 5.0324433159834269e+04 4.0929421303636191e+04 3.3280987966637906e+04 2.7095788568096577e+04 2.2128447289810516e+04 1.8167598500165492e+04 1.5032231058346504e+04 1.2568299212005353e+04 1.0645598893809820e+04 9.1548953602816673e+03 7.9311472556971594e+03 7.0091013210415977e+03 6.3145688060483744e+03 5.7887397622782446e+03 5.3857075335323270e+03 5.0702758805937092e+03 4.8160263944311046e+03 4.6036260337451467e+03 4.4193604986870787e+03 4.2538482052830605e+03 4.1009665047268008e+03 3.9570273055379789e+03 3.8200630738453597e+03 3.6890425731429932e+03 3.5635267154939065e+03 3.4434257135530679e+03 3.3286076335447715e+03 3.2187857845447161e+03 3.1132797978805147e+03 3.0109167621321340e+03 2.9095488384367968e+03 2.8057355373734167e+03 2.6937552843810890e+03 2.5649591415630152e+03 2.4071541655120559e+03 2.2062960559050680e+03 1.9510392264158847e+03 1.6391680084279492e+03 1.2827443147952301e+03 9.0784365584091415e+02 5.4751711429126306e+02 2.3213195573818462e+02 -1.8817507432548247e+01 -1.9999470134792742e+02 -3.1806148014909013e+02 -3.8694208613684549e+02 -4.2233588467878798e+02 -4.3794301473523336e+02 -4.4356226438239685e+02 -4.4476266285779792e+02 -4.4493803809065736e+02 -4.4466676197638827e+02 -4.4420582123896230e+02 -4.4367327992366518e+02 -4.4311481222364563e+02 -4.4244923891109602e+02 -4.4178309191573567e+02 -4.4106946040827529e+02 -4.4029559006452479e+02 -4.3945091626861836e+02 -4.3852278530199055e+02 -4.3749723848498053e+02 -4.3637633912971864e+02 -4.3505149128117569e+02 -4.3362972718485543e+02 -4.3203478828348648e+02 -4.3024379932577955e+02 -4.2823150105634727e+02 -4.2597201395953061e+02 -4.2343965325293249e+02 -4.2062737345287997e+02 -4.1743230677398930e+02 -4.1394853789394011e+02 -4.1012397738480979e+02 -4.0596781662568810e+02 -4.0151241160386741e+02 -3.9681321564682628e+02 -3.9197612467794670e+02 -3.8717829419324011e+02 -3.8257944652621961e+02 -3.7864042294353459e+02 -3.7580976801475060e+02 -3.7481398652357950e+02 -3.7664178341985144e+02 -3.8279777562913966e+02 -3.9555783585592286e+02 -4.1853826026298492e+02 -4.5764930090895371e+02 3.9535249734746562e+03 +3.8523329547466936e-03 1.1246968222296993e+05 3.1635369200523762e+05 6.6524034661494987e+05 1.1149909672148821e+06 1.5461295452498225e+06 1.7821538449120522e+06 1.7499953497688854e+06 1.5842182301989361e+06 1.4162369966929788e+06 1.2712753552293826e+06 1.1343009846519521e+06 1.0036977253304481e+06 8.8267273573684425e+05 7.7225282025906432e+05 6.7211509762059792e+05 5.8252293722382188e+05 5.0342491692622856e+05 4.3396738377059635e+05 3.7313634695234080e+05 3.1998759993451001e+05 2.7367972877221904e+05 2.3370487752363505e+05 2.0163479482925407e+05 1.8053013862875866e+05 1.6138642864015326e+05 1.3730053456196864e+05 1.1378005579886079e+05 9.3590510162941791e+04 7.6704135088964031e+04 6.2685225497675667e+04 5.1114877787836005e+04 4.1622574660124803e+04 3.3883915372261865e+04 2.7616297446177017e+04 2.2574735587523781e+04 1.8547958194790350e+04 1.5354804149035393e+04 1.2840882983725498e+04 1.0875496952586231e+04 9.3488105424406822e+03 8.0931034742529364e+03 7.1451873889003282e+03 6.4299917674140897e+03 5.8878536769506263e+03 5.4720702118588242e+03 5.1467265094121512e+03 4.8847768280983109e+03 4.6663585706112563e+03 4.4773254346346212e+03 4.3079550507491922e+03 4.1518647408545712e+03 4.0051748762762468e+03 3.8657809370858713e+03 3.7325528631443563e+03 3.6049796505220893e+03 3.4829164288896018e+03 3.3661814646483308e+03 3.2544349908515810e+03 3.1469288879094488e+03 3.0423947999616103e+03 2.9385375524248334e+03 2.8316842901657269e+03 2.7157409764439194e+03 2.5814902121502146e+03 2.4159519430123341e+03 2.2041842758135599e+03 1.9341327951343139e+03 1.6034857136952553e+03 1.2251445793400867e+03 8.2692199166137277e+02 4.4405256881446485e+02 1.0889662247369645e+02 -1.5776799927009390e+02 -3.5024422527403209e+02 -4.7560303681419231e+02 -5.4864959816092630e+02 -5.8608366014208855e+02 -6.0247655020903665e+02 -6.0824525916738105e+02 -6.0937108080621942e+02 -6.0940373261201682e+02 -6.0895754831225497e+02 -6.0830190802755203e+02 -6.0756480153800021e+02 -6.0679025150770872e+02 -6.0589654685710639e+02 -6.0498255338055708e+02 -6.0400362370590642e+02 -6.0294214017415743e+02 -6.0178370785807897e+02 -6.0051102795741610e+02 -5.9910492452925450e+02 -5.9756166788756195e+02 -5.9576506535646070e+02 -5.9381630552945774e+02 -5.9163044682048667e+02 -5.8917605112968704e+02 -5.8641861078833676e+02 -5.8332271729794525e+02 -5.7985314247012968e+02 -5.7599392941523308e+02 -5.7163550319578110e+02 -5.6686302237090467e+02 -5.6162394676487645e+02 -5.5593075764466369e+02 -5.4982785429074477e+02 -5.4339120284685384e+02 -5.3676576272442412e+02 -5.3018832620720957e+02 -5.2390633977467019e+02 -5.1851074100358517e+02 -5.1463303207983779e+02 -5.1326231719999339e+02 -5.1576382468275096e+02 -5.2419510961622780e+02 -5.4166963932293936e+02 -5.7313067915833835e+02 -6.2671050164776420e+02 4.0023609292495030e+03 +3.8760758003867539e-03 1.1232247660911160e+05 3.1598450510192738e+05 6.6449652213633899e+05 1.1137950551308035e+06 1.5445952142816070e+06 1.7806276374284860e+06 1.7488305741436488e+06 1.5835287557467013e+06 1.4159870343827736e+06 1.2714155946478478e+06 1.1347865638161909e+06 1.0044781476996933e+06 8.8369507799709996e+05 7.7346519876056642e+05 6.7346761839179252e+05 5.8397074109953677e+05 5.0492996942304488e+05 4.3549761465200782e+05 3.7466483339260641e+05 3.2149202774293453e+05 2.7514201373357349e+05 2.3511258374502647e+05 2.0299744433750791e+05 1.8189966737545774e+05 1.6276176684691550e+05 1.3861318347956869e+05 1.1499458601772563e+05 9.4698372674112266e+04 7.7704084199196543e+04 6.3579107971141944e+04 5.1906717104375755e+04 4.2318025170018911e+04 3.4489799516147235e+04 2.8140202495833393e+04 2.3024666238407292e+04 1.8932042563969087e+04 1.5681050738112108e+04 1.3116985573589081e+04 1.1108684128126517e+04 9.5457361567129028e+03 8.2577421411201431e+03 7.2836213769997039e+03 6.5474399741021480e+03 5.9886951129269492e+03 5.5598957205115094e+03 5.2244119585690205e+03 4.9545707848145939e+03 4.7299774201050759e+03 4.5360492573405081e+03 4.3627180427086460e+03 4.2033358670807720e+03 4.0538267329164705e+03 3.9119449071516792e+03 3.7764578886145855e+03 3.6467796660252425e+03 3.5227075225858339e+03 3.4040071891646057e+03 3.2902827480949663e+03 3.1807143873853079e+03 3.0739327280235125e+03 2.9674867565896311e+03 2.8574578186856979e+03 2.7373580616941567e+03 2.5973691878563009e+03 2.4236797330024074e+03 2.2004005437132037e+03 1.9147303942455651e+03 1.5642585597367199e+03 1.1627756850193289e+03 7.3993002042401929e+02 3.3326199207957228e+02 -2.2764370956136176e+01 -3.0601689252559146e+02 -5.1041859383431211e+02 -6.4347270687049877e+02 -7.2091452042257140e+02 -7.6049992568912796e+02 -7.7771991841611339e+02 -7.8364402739100115e+02 -7.8468940339299138e+02 -7.8456963900078233e+02 -7.8393702064361139e+02 -7.8307396613280355e+02 -7.8211897046940612e+02 -7.8111426189826523e+02 -7.7997761614703654e+02 -7.7879964823750959e+02 -7.7753815732775922e+02 -7.7617034548604374e+02 -7.7467773857418979e+02 -7.7303809062256551e+02 -7.7122666875317930e+02 -7.6923356144402908e+02 -7.6693454441126960e+02 -7.6442449963853790e+02 -7.6160927325002547e+02 -7.5844830674831962e+02 -7.5489724268212581e+02 -7.5091052373089724e+02 -7.4644275718677227e+02 -7.4146848349058882e+02 -7.3587104129785666e+02 -7.2972600265203585e+02 -7.2298038168049470e+02 -7.1565016313934552e+02 -7.0779257347022394e+02 -6.9950542627503444e+02 -6.9097528567321876e+02 -6.8250245008591673e+02 -6.7442784981693399e+02 -6.6748090950269057e+02 -6.6248802360711079e+02 -6.6071796948588417e+02 -6.6393701592364380e+02 -6.7479162462454292e+02 -6.9728734507164620e+02 -7.3778072697830839e+02 -8.0677069857435333e+02 4.0517998366262846e+03 +3.8999649788401280e-03 1.1217505627501907e+05 3.1561527723955445e+05 6.6375287981535238e+05 1.1125991444570767e+06 1.5430592635457856e+06 1.7790960295561531e+06 1.7476555812382391e+06 1.5828247473117362e+06 1.4157189489305150e+06 1.2715346643844878e+06 1.1352486194736052e+06 1.0052334725418073e+06 8.8469148578882904e+05 7.7465147709470487e+05 6.7479448108067364e+05 5.8539382651326887e+05 5.0641161793457961e+05 4.3700603584887151e+05 3.7617330555335071e+05 3.2297836888943496e+05 2.7658821023192123e+05 2.3650620182653741e+05 2.0434783205567213e+05 1.8325836638004016e+05 1.6412785231809353e+05 1.3991864898339676e+05 1.1620406195739259e+05 9.5803123549211465e+04 7.8702620035275337e+04 6.4473014968355172e+04 5.2699755855528623e+04 4.3015594729592558e+04 3.5098482489199952e+04 2.8667367787377265e+04 2.3478125902458614e+04 1.9319760425544471e+04 1.6010900494633641e+04 1.3396555512709021e+04 1.1345125345996139e+04 9.7456507818868413e+03 8.4250533632368133e+03 7.4244017891390995e+03 6.6669175041516173e+03 6.0912713392981077e+03 5.6491926449927505e+03 5.3033407721027079e+03 5.0254158814662014e+03 4.7944887765224412e+03 4.5955365324765808e+03 4.4181401004339023e+03 4.2553812385914207e+03 4.1029827810971792e+03 3.9585535398571865e+03 3.8207549097576493e+03 3.6889227158430153e+03 3.5627935506721565e+03 3.4420777744663455e+03 3.3263201155948645e+03 3.2146249503780691e+03 3.1055160363690975e+03 2.9963776141240919e+03 2.8830311554575874e+03 2.7585726255329550e+03 2.6125488706179494e+03 2.4302706831333294e+03 2.1948497652225874e+03 1.8926984955394996e+03 1.5213044405324072e+03 1.0953992096959030e+03 6.4656981600169570e+02 2.1479029317883118e+02 -1.6325600509694971e+02 -4.6400866761045961e+02 -6.8099058980425980e+02 -8.2216146396025817e+02 -9.0423814900406558e+02 -9.4609095785094894e+02 -9.6418122635570398e+02 -9.7026690728217409e+02 -9.7122567688501556e+02 -9.7094333830446726e+02 -9.7011221133042238e+02 -9.6902842415757073e+02 -9.6784158309289319e+02 -9.6659197188341852e+02 -9.6519687300979297e+02 -9.6373803763516105e+02 -9.6217590350731143e+02 -9.6048216042792001e+02 -9.5863399435500105e+02 -9.5660389573280429e+02 -9.5436121895698147e+02 -9.5188946329084183e+02 -9.4905591780942132e+02 -9.4594867229305828e+02 -9.4246380650902154e+02 -9.3855105754426097e+02 -9.3415558828121834e+02 -9.2922104333862615e+02 -9.2369121490779196e+02 -9.1753052135091082e+02 -9.1061481814232479e+02 -9.0300939843248989e+02 -8.9466083623277359e+02 -8.8558884350141989e+02 -8.7586429490845819e+02 -8.6560824946385219e+02 -8.5505153776115549e+02 -8.4456201716422981e+02 -8.3458013512821071e+02 -8.2598259153044501e+02 -8.1980317416834077e+02 -8.1760821712150289e+02 -8.2159070991625629e+02 -8.3502369548995375e+02 -8.6286187766846024e+02 -9.1296550001377557e+02 -9.9835164335924730e+02 4.1018491344385147e+03 +3.9240013919908008e-03 1.1202741681572415e+05 3.1524601095191698e+05 6.6300941232903278e+05 1.1114032452667463e+06 1.5415217210603836e+06 1.7775591166027687e+06 1.7464705178066813e+06 1.5821064077893435e+06 1.4154329797072387e+06 1.2716328239614337e+06 1.1356874232674420e+06 1.0059639697520240e+06 8.8566221558770351e+05 7.7581188820076804e+05 6.7609588780135382e+05 5.8679235944203462e+05 5.0786998931935767e+05 4.3849273395109031e+05 3.7766181006085320e+05 3.2444663156906277e+05 2.7801829060222069e+05 2.3788567147827803e+05 2.0568586705449989e+05 1.8460611050440243e+05 1.6548452433710228e+05 1.4121674360469222e+05 1.1740827956128614e+05 9.6904550724569854e+04 7.9699530147187732e+04 6.5366740336663002e+04 5.3493799778491171e+04 4.3715105353466090e+04 3.5709805722144687e+04 2.9197656076150935e+04 2.3934999413286198e+04 1.9711018411480774e+04 1.6344280693339615e+04 1.3679538869548098e+04 1.1584783122549845e+04 9.9485307386450604e+03 8.5950252291602555e+03 7.5675253961592534e+03 6.7884270009669954e+03 6.1955884743614988e+03 5.7399686696547424e+03 5.3835207970734064e+03 5.0973191934672132e+03 4.8598984023800867e+03 4.6557914647574280e+03 4.4742238225156198e+03 4.3080019076237413e+03 4.1526426252293586e+03 4.0056050800296571e+03 3.8654408571541921e+03 3.7314043975577060e+03 3.6031686776240676e+03 3.4803857504034149e+03 3.3625376547994915e+03 3.2486486525364071e+03 3.1371295267143719e+03 3.0251904461139111e+03 2.9083782702278454e+03 2.7793493670413145e+03 2.6269801970674284e+03 2.4356553736972191e+03 2.1874332841461678e+03 1.8678986783432852e+03 1.4744347040704640e+03 1.0227682975164184e+03 5.4653304920334267e+02 8.8270104795642908e+01 -3.1299716009606664e+02 -6.3220298325803628e+02 -8.6244908736811715e+02 -1.0121769584830931e+03 -1.0991387880144994e+03 -1.1433802002651669e+03 -1.1623858057639206e+03 -1.1686394679355385e+03 -1.1695051680556908e+03 -1.1690496161264921e+03 -1.1680073386266024e+03 -1.1666888761154137e+03 -1.1652555797602472e+03 -1.1637456312885613e+03 -1.1620758412066546e+03 -1.1603184543251687e+03 -1.1584367483227056e+03 -1.1563965531792905e+03 -1.1541704420596941e+03 -1.1517253105998404e+03 -1.1490242280045463e+03 -1.1460436777731045e+03 -1.1426419864816910e+03 -1.1388999427090623e+03 -1.1347032801476471e+03 -1.1299914200898206e+03 -1.1246983863864630e+03 -1.1187563459625439e+03 -1.1120975948521505e+03 -1.1046757808392640e+03 -1.0963588613260570e+03 -1.0872011251316192e+03 -1.0771487122725682e+03 -1.0662252960849792e+03 -1.0545162589877616e+03 -1.0421673688144708e+03 -1.0294565090128642e+03 -1.0168233383857179e+03 -1.0048141377808280e+03 -9.9446208140024828e+02 -9.8702143702758872e+02 -9.8437481629399076e+02 -9.8916881234837990e+02 -1.0053424879775973e+03 -1.0388594457730626e+03 -1.0991782657398217e+03 -1.2019927724567051e+03 4.1525163531942426e+03 +3.9481859472812837e-03 1.1187955434261907e+05 3.1487669728093524e+05 6.6226612354490510e+05 1.1102073571131006e+06 1.5399826347290080e+06 1.7760169956010967e+06 1.7452755369733642e+06 1.5813739419795373e+06 1.4151293623294984e+06 1.2717103318135918e+06 1.1361032450403045e+06 1.0066699080095660e+06 8.8660752273476333e+05 7.7694666499354260e+05 6.7737204147830897e+05 5.8816650751967367e+05 5.0930521294113476e+05 4.3995779878176004e+05 3.7913039740116318e+05 3.2589682832434686e+05 2.7943223187890835e+05 2.3925093732204326e+05 2.0701146346525289e+05 1.8594277992190470e+05 1.6683162763396648e+05 1.4250728503255473e+05 1.1860703933894049e+05 9.8002445940385311e+04 8.0694605022274292e+04 6.6260079946157784e+04 5.4288655720434246e+04 4.4416379301465240e+04 3.6323610112976232e+04 2.9730928924113960e+04 2.4395169887919415e+04 2.0105721061749922e+04 1.6681116289133552e+04 1.3965879303876445e+04 1.1827617598647328e+04 1.0154350104641195e+04 8.7676438071979337e+03 7.7129872212197724e+03 6.9119696501025610e+03 6.3016514579889426e+03 5.8322305490202971e+03 5.4649591563204849e+03 5.1702872302775595e+03 4.9262116073143279e+03 4.7168178800546257e+03 4.5309714717239431e+03 4.3611986104761390e+03 4.2028055569913731e+03 4.0530974509213738e+03 3.9105123216183824e+03 3.7742199423609541e+03 3.6438266659305368e+03 3.5189231981545904e+03 3.3989254170483650e+03 3.2827729772346283e+03 3.1687572963002540e+03 3.0539047121211670e+03 2.9334720458198972e+03 2.7996515679541112e+03 2.6406121974974790e+03 2.4397617624800582e+03 2.1780488083925839e+03 1.8401875315300492e+03 1.4234540265035446e+03 9.4462750314190509e+02 4.3950080243801415e+02 -4.6678429075712216e+01 -4.7242085056531118e+02 -8.1107492875787023e+02 -1.0552993165581636e+03 -1.2140437897612446e+03 -1.3061520260726502e+03 -1.3529085421891921e+03 -1.3728764923086619e+03 -1.3793047885042592e+03 -1.3800706431962544e+03 -1.3794307413689094e+03 -1.3781640851139903e+03 -1.3765963595281755e+03 -1.3749013225503193e+03 -1.3731148886596136e+03 -1.3711534190309712e+03 -1.3690789792373921e+03 -1.3668578978229955e+03 -1.3644497813112760e+03 -1.3618223045860443e+03 -1.3589364219386823e+03 -1.3557485277012092e+03 -1.3522276432488241e+03 -1.3482226352883795e+03 -1.3438064580059965e+03 -1.3388538928006244e+03 -1.3332934055138296e+03 -1.3270471911393588e+03 -1.3200352278684143e+03 -1.3121776030321068e+03 -1.3034165152736130e+03 -1.2936115903144018e+03 -1.2828053530387183e+03 -1.2709435161501460e+03 -1.2580539593515061e+03 -1.2442374720655080e+03 -1.2296660620003704e+03 -1.2146675806226649e+03 -1.1997579266571088e+03 -1.1855958229521975e+03 -1.1733805416912530e+03 -1.1646005224075675e+03 -1.1614742402675895e+03 -1.1671300175984586e+03 -1.1862141984075922e+03 -1.2257617897552943e+03 -1.2969287247999653e+03 -1.4182514936136643e+03 4.2038091162022629e+03 +3.9725195577468720e-03 1.1173146546551869e+05 3.1450733505825559e+05 6.6152301400609163e+05 1.1090114730380897e+06 1.5384420368508294e+06 1.7744697343654209e+06 1.7440707964358882e+06 1.5806275422370301e+06 1.4148083283756175e+06 1.2717674452973921e+06 1.1364963532465952e+06 1.0073515543336257e+06 8.8752766151843779e+05 7.7805604029773735e+05 6.7862314573637326e+05 5.8951643994822481e+05 5.1071742055487877e+05 4.4140132327557931e+05 3.8057912179946271e+05 3.2732897593135823e+05 2.8083001568940998e+05 2.4060194879696766e+05 2.0832454039951588e+05 1.8726826005286470e+05 1.6816901234325854e+05 1.4379009610196346e+05 1.1980014638531749e+05 9.9096604790244775e+04 8.1687638162559568e+04 6.7152831788596784e+04 5.5084131752906549e+04 4.5119239201934884e+04 3.6939736152454258e+04 3.0267046820422889e+04 2.4858518836877367e+04 2.0503770918999311e+04 1.7021329993648138e+04 1.4255518123318798e+04 1.2073586576133661e+04 1.0363080732447206e+04 8.9428931463110857e+03 7.8607805275197188e+03 7.0375451579882756e+03 6.4094640254624192e+03 5.9259840801555347e+03 5.5476622217716749e+03 5.2443259112195901e+03 4.9934332270172481e+03 4.7786192074889650e+03 4.5883849598420429e+03 4.4149717544321247e+03 4.2534705437649282e+03 4.1010282435954268e+03 3.9559655440269589e+03 3.8173642049672794e+03 3.6847608656527568e+03 3.5576817391186692e+03 3.4354729313764792e+03 3.3169848018020780e+03 3.2003827218137935e+03 3.0824989908582338e+03 2.9582842540897650e+03 2.8194410617622984e+03 2.6533919550862693e+03 2.4425151300351713e+03 2.1665903365314989e+03 1.8094165566725728e+03 1.3681602881406013e+03 8.6071263871763199e+02 3.2514338811428127e+02 -1.9044786063283630e+02 -6.4197445472971094e+02 -1.0011152697175327e+03 -1.2600631206601142e+03 -1.4283037708066590e+03 -1.5258310051897370e+03 -1.5752345893116722e+03 -1.5962138970453009e+03 -1.6028237296590630e+03 -1.6034826393720657e+03 -1.6026467372239438e+03 -1.6011418683988070e+03 -1.5993096258032710e+03 -1.5973368653040536e+03 -1.5952570609394786e+03 -1.5929861486160287e+03 -1.5905753103777170e+03 -1.5879941464919746e+03 -1.5851956597772221e+03 -1.5821423283291429e+03 -1.5787888027637209e+03 -1.5750843950692984e+03 -1.5709901976729107e+03 -1.5663450978231992e+03 -1.5612136571415847e+03 -1.5554590711424967e+03 -1.5489981813680563e+03 -1.5417406326611701e+03 -1.5335934710029583e+03 -1.5244638299655160e+03 -1.5142817494330632e+03 -1.5028980705149468e+03 -1.4903427592640994e+03 -1.4765611083436888e+03 -1.4615854599585475e+03 -1.4455329508400505e+03 -1.4286034294787564e+03 -1.4111777635114904e+03 -1.3938527324888353e+03 -1.3774064117846403e+03 -1.3632142337077623e+03 -1.3530131262237542e+03 -1.3493779074995184e+03 -1.3559480379552645e+03 -1.3781202866317626e+03 -1.4240664224352934e+03 -1.5067432657207230e+03 -1.6477034644265752e+03 4.2557351407142960e+03 +3.9970031420501163e-03 1.1158314712754381e+05 3.1413791868670954e+05 6.6078008060968050e+05 1.1078156235414422e+06 1.5368999475172714e+06 1.7729174368369884e+06 1.7428564401716385e+06 1.5798674035747447e+06 1.4144701028166597e+06 1.2718044184150079e+06 1.1368670142426046e+06 1.0080091739847169e+06 8.8842288536766719e+05 7.7914024676258524e+05 6.7984940482606099e+05 5.9084232742253575e+05 5.1210674619681999e+05 4.4282340336620621e+05 3.8200804109909065e+05 3.2874309528355853e+05 2.8221162814559642e+05 2.4193866006313643e+05 2.0962502186655896e+05 1.8858244149846488e+05 1.6949653395896751e+05 1.4506500477673425e+05 1.2098741039624022e+05 1.0018682676652334e+05 8.2678426156853544e+04 6.8044796071818666e+04 5.5880037282877893e+04 4.5823508172337075e+04 3.7558024047130835e+04 3.0805869301088394e+04 2.5324926274105892e+04 2.0905068624403921e+04 1.7364842353321259e+04 1.4548394342143591e+04 1.2322645557158368e+04 1.0574692270425128e+04 9.1207552797662556e+03 8.0108968084300996e+03 7.1651517326959774e+03 6.5190286828130074e+03 6.0212340759687313e+03 5.6316355883997503e+03 5.3194405416481904e+03 5.0615676023655224e+03 4.8411984615571064e+03 4.6464658324381262e+03 4.4693214046851626e+03 4.3046362170584744e+03 4.1493947063045780e+03 4.0017964051867189e+03 3.8608316535082981e+03 3.7259642040413974e+03 3.5966525238717331e+03 3.4721691923847998e+03 3.3512703837940358e+03 3.2319884434402720e+03 3.1109509609854208e+03 2.9827855320557956e+03 2.8386782030437657e+03 2.6652645653876625e+03 2.4438380254138870e+03 2.1529480851435655e+03 1.7754320724719501e+03 1.3083444514416988e+03 7.7075062378340135e+02 2.0312017106282332e+02 -3.4344364065942324e+02 -8.2211993747721954e+02 -1.2028306869236656e+03 -1.4772792061481716e+03 -1.6555161852484023e+03 -1.7587466815877797e+03 -1.8109349263826318e+03 -1.8329766696545282e+03 -1.8397751968020316e+03 -1.8403197274580723e+03 -1.8392756439578611e+03 -1.8375181036056501e+03 -1.8354054024101563e+03 -1.8331382154777227e+03 -1.8307473949771900e+03 -1.8281484770708792e+03 -1.8253810235746428e+03 -1.8224181375641008e+03 -1.8192058207634448e+03 -1.8157010425481790e+03 -1.8118517712057089e+03 -1.8075998105471276e+03 -1.8028978361147988e+03 -1.7975742131839681e+03 -1.7916845268402044e+03 -1.7850797248822589e+03 -1.7776643255518945e+03 -1.7693346697892298e+03 -1.7599840943995339e+03 -1.7495060005803530e+03 -1.7378175277876840e+03 -1.7247602596502011e+03 -1.7103507720506743e+03 -1.6945339454976054e+03 -1.6773468523551082e+03 -1.6589239593215432e+03 -1.6394946286830495e+03 -1.6194959296623633e+03 -1.5996103724725613e+03 -1.5807426071814698e+03 -1.5644547409461768e+03 -1.5527471518793448e+03 -1.5485724028398949e+03 -1.5561118258957290e+03 -1.5815577019428781e+03 -1.6342868625261558e+03 -1.7291652119099028e+03 -1.8909428624515913e+03 4.3083022390806818e+03 +4.0216376245155016e-03 1.1143459440347781e+05 3.1376844922709517e+05 6.6003732130176364e+05 1.1066198015708830e+06 1.5353564357442143e+06 1.7713601774304614e+06 1.7416326094584023e+06 1.5790937212335523e+06 1.4141149131001022e+06 1.2718215014783752e+06 1.1372154920847875e+06 1.0086430305237820e+06 8.8929344681614928e+05 7.8019951678576507e+05 6.8105102357128914e+05 5.9214434204473463e+05 5.1347332607948530e+05 4.4422413787439582e+05 3.8341721664743865e+05 3.3013921128228318e+05 2.8357705973953806e+05 2.4326102990668511e+05 2.1091283669178362e+05 1.8988521997252258e+05 1.7081405328645909e+05 1.4633184413038916e+05 1.2216864567856572e+05 1.0127291530071126e+05 8.3666768748255257e+04 6.8935775309804550e+04 5.6676183159387088e+04 4.6529009936446535e+04 3.8178313840567513e+04 3.1347255067035076e+04 2.5794270826769476e+04 2.1309513014074859e+04 1.7711571829306398e+04 1.4844444742431804e+04 1.2574747786054682e+04 1.0789152186333255e+04 9.3012102315595876e+03 8.1633257801064283e+03 7.2947860667104105e+03 6.6303466837092810e+03 6.1179843397197565e+03 5.7168840488686055e+03 5.3956357894949160e+03 5.1306185586904676e+03 4.9045582242968021e+03 4.7052152536648800e+03 4.5242472711985038e+03 4.3563008608930304e+03 4.1981937338398639e+03 4.0480004156780988e+03 3.9046163594887598e+03 3.7674291751995488e+03 3.6358262211600677e+03 3.5090026481877144e+03 3.3856153473967493e+03 3.2635563489925867e+03 3.1392373820312960e+03 3.0069453581782213e+03 2.8573218370095824e+03 2.6761730961911121e+03 2.4436502124255157e+03 2.1370084170533873e+03 1.7380751205811900e+03 1.2437904411810418e+03 6.7445933834602533e+02 7.3079395252694468e+01 -5.0608431548577465e+02 -1.0133340669508215e+03 -1.4167440079147138e+03 -1.7075033847073830e+03 -1.8962580359481669e+03 -2.0054880779754624e+03 -2.0606043712105802e+03 -2.0837617529890304e+03 -2.0907563946022378e+03 -2.0911787664875260e+03 -2.0899137730072334e+03 -2.0878884571940616e+03 -2.0854786463934138e+03 -2.0828995873375043e+03 -2.0801793203903221e+03 -2.0772330089950710e+03 -2.0740878246037405e+03 -2.0707206147469356e+03 -2.0670699649746653e+03 -2.0630870101530650e+03 -2.0587126407631572e+03 -2.0538807076597236e+03 -2.0485349597809854e+03 -2.0424926742640023e+03 -2.0357998490699752e+03 -2.0282944933131903e+03 -2.0198680718480873e+03 -2.0104028344531557e+03 -1.9997775972658724e+03 -1.9878712158564424e+03 -1.9745871545272591e+03 -1.9597572459811811e+03 -1.9433838070165043e+03 -1.9254113144852695e+03 -1.9058818504588166e+03 -1.8849482379615758e+03 -1.8628711004623976e+03 -1.8401470358055017e+03 -1.8175493502243771e+03 -1.7961168121452040e+03 -1.7776091851868582e+03 -1.7643059247411477e+03 -1.7595596914135731e+03 -1.7681257890155175e+03 -1.7970391015205298e+03 -1.8569528603671768e+03 -1.9647550604756518e+03 -2.1485826463895796e+03 4.3615183199210469e+03 +4.0464239351643456e-03 1.1128580374149568e+05 3.1339892308971251e+05 6.5929473229547951e+05 1.1054240276259587e+06 1.5338115050640511e+06 1.7697980535090291e+06 1.7403994421198450e+06 1.5783066801550447e+06 1.4137429890734311e+06 1.2718189425093071e+06 1.1375420476359371e+06 1.0092533855486794e+06 8.9013959735472582e+05 7.8123408245724742e+05 6.8222820731888816e+05 5.9342265722097468e+05 5.1481729848026088e+05 4.4560362840083969e+05 3.8480671318032942e+05 3.3151735272310587e+05 2.8492630523489800e+05 2.4456902164356748e+05 2.1218791843193438e+05 1.9117649623148763e+05 1.7212143639202250e+05 1.4759045232159918e+05 1.2334367115711597e+05 1.0235467779973081e+05 8.4652468896983177e+04 6.9825574408159999e+04 5.7472381776495160e+04 4.7235568938226352e+04 3.8800445531851321e+04 3.1891062101093197e+04 2.6266429844579736e+04 2.1717001216244676e+04 1.8061434878485550e+04 1.5143603937145599e+04 1.2829844293755768e+04 1.1006425793740827e+04 9.4842360254605810e+03 8.3180553765455898e+03 7.4264433217594978e+03 6.7434180079528496e+03 6.2162376405601344e+03 5.8034115688989459e+03 5.4729156622285227e+03 5.2005893852733270e+03 4.9687006275777985e+03 4.7646339910394036e+03 4.5797486955832201e+03 4.4084624001874690e+03 4.2474218569172008e+03 4.0945727057546324e+03 3.9487119877656328e+03 3.8091478297848957e+03 3.6751930069803766e+03 3.5459611884394126e+03 3.4200046699032027e+03 3.2950675581770352e+03 3.1673340754787755e+03 3.0307320288455981e+03 2.8753292693160947e+03 2.6860585477278123e+03 2.4418686164879723e+03 2.1186537704512334e+03 1.6971813729419271e+03 1.1742750269418614e+03 5.7154747933269539e+02 -6.5341984934933478e+01 -6.7880171819381269e+02 -1.2161086243018663e+03 -1.6433944308312307e+03 -1.9513088069199825e+03 -2.1511242848579873e+03 -2.2666625268510843e+03 -2.3248562195428581e+03 -2.3491846284856251e+03 -2.3563830723670421e+03 -2.3566751488452696e+03 -2.3551759519378229e+03 -2.3528670916448764e+03 -2.3501427887686191e+03 -2.3472336460496931e+03 -2.3441646933268275e+03 -2.3408507499032075e+03 -2.3373057922481889e+03 -2.3335106648807910e+03 -2.3293961038616412e+03 -2.3249070694685806e+03 -2.3199769615514147e+03 -2.3145312137031456e+03 -2.3085041160696178e+03 -2.3017012670991462e+03 -2.2941584396055005e+03 -2.2856999830116456e+03 -2.2762035466291809e+03 -2.2655364672808846e+03 -2.2535621933325847e+03 -2.2401441857777972e+03 -2.2251714249510997e+03 -2.2084654779727325e+03 -2.1900134948848968e+03 -2.1697595580399793e+03 -2.1477510510008483e+03 -2.1241602245390027e+03 -2.0992807873914230e+03 -2.0736723390556540e+03 -2.0482042693651661e+03 -2.0240573402598629e+03 -2.0032004348011674e+03 -1.9882083988814495e+03 -1.9828573248233120e+03 -1.9925099972244886e+03 -2.0250930610136775e+03 -2.0926106155241591e+03 -2.2140907124693749e+03 -2.4212548078665509e+03 4.4153913893069166e+03 +4.0713630097499098e-03 1.1113677135478334e+05 3.1302932960365602e+05 6.5855231228693516e+05 1.1042283005057236e+06 1.5322651969816405e+06 1.7682311412227408e+06 1.7391570934445816e+06 1.5775064694513448e+06 1.4133545495361744e+06 1.2717969877495666e+06 1.1378469388299538e+06 1.0098404986886003e+06 8.9096158737867221e+05 7.8224417549708916e+05 6.8338116185760591e+05 5.9467744755525352e+05 5.1613880364199443e+05 4.4696197922009358e+05 3.8617659871067980e+05 3.3287755218667770e+05 2.8625936356379604e+05 2.4586260302389954e+05 2.1345020529228132e+05 1.9245617600330999e+05 1.7341855454952511e+05 1.4884067256840982e+05 1.2451231037698750e+05 1.0343192567719845e+05 8.5635332838854738e+04 7.0714000745458412e+04 5.8268447172091073e+04 4.7943010452551738e+04 3.9424259191488221e+04 3.2437147783301763e+04 2.6741279508704803e+04 2.2127428748611313e+04 1.8414346036086292e+04 1.5445804435281323e+04 1.3087883944616025e+04 1.1226476280991030e+04 9.6698086967647941e+03 8.4750717470445452e+03 7.5601171157212057e+03 6.8582413415907140e+03 6.3159956903452530e+03 5.8912212634676780e+03 5.5512834843176006e+03 5.2714828151110823e+03 5.0336273354509003e+03 4.8247224003222909e+03 4.6358246379787452e+03 4.4611183891713636e+03 4.2970752315743684e+03 4.1415080152542623e+03 3.9931117865978754e+03 3.8511117648165546e+03 3.7147425537471195e+03 3.5830321324959559e+03 3.4544226683272245e+03 3.3265024070130712e+03 3.1952159060331528e+03 3.0541126350860645e+03 2.8926562361727683e+03 2.6948598133171427e+03 2.4384072720906829e+03 2.0977625890859731e+03 1.6525810407431979e+03 1.0995677081026622e+03 4.6171442062386137e+02 -2.1251846860751914e+02 -8.6204115375463891e+02 -1.4309506062565424e+03 -1.8833377401905350e+03 -2.2092861871969872e+03 -2.4207280837119406e+03 -2.5428959043719301e+03 -2.6043224804196275e+03 -2.6298795519621281e+03 -2.6372897598070304e+03 -2.6374430358593236e+03 -2.6356957598013610e+03 -2.6330869005630152e+03 -2.6300299693349234e+03 -2.6267717422004880e+03 -2.6233340306787427e+03 -2.6196313401164998e+03 -2.6156636118310535e+03 -2.6114159510916011e+03 -2.6068107923591378e+03 -2.6017865665319505e+03 -2.5962687521106391e+03 -2.5901738810036231e+03 -2.5834262292175722e+03 -2.5758191008549579e+03 -2.5673773772618501e+03 -2.5579109962100415e+03 -2.5472829962762016e+03 -2.5353449439453316e+03 -2.5219440360130902e+03 -2.5069274531542028e+03 -2.4901688477888492e+03 -2.4714789849520184e+03 -2.4508289003110840e+03 -2.4281622915448038e+03 -2.4035321481177375e+03 -2.3771312664018860e+03 -2.3492883435162930e+03 -2.3206296040965044e+03 -2.2921260381717211e+03 -2.2651086179211229e+03 -2.2417673049077430e+03 -2.2249893557375603e+03 -2.2189986392629107e+03 -2.2298003818256034e+03 -2.2662642768810251e+03 -2.3418229858763520e+03 -2.4777676941063155e+03 -2.7096106133674193e+03 4.4699295519620237e+03 +4.0964557897927240e-03 1.1098749380321748e+05 3.1265967225219810e+05 6.5781006482548092e+05 1.1030326332983209e+06 1.5307175385813194e+06 1.7666595327635149e+06 1.7379056900914572e+06 1.5766932767020031e+06 1.4129498100811134e+06 1.2717558810521364e+06 1.1381304221183048e+06 1.0104046280180798e+06 8.9175966617602529e+05 7.8323002717204567e+05 6.8451009331103729e+05 5.9590888876072329e+05 5.1743798367071518e+05 4.4829929717136809e+05 3.8752694441884873e+05 3.3421984592804738e+05 2.8757623772153247e+05 2.4714174613553198e+05 2.1469964004041051e+05 1.9372416991414098e+05 1.7470528418557931e+05 1.5008235311716323e+05 1.2567439150214459e+05 1.0450447438087083e+05 8.6615170139085982e+04 7.1600864249734383e+04 5.9064195122655314e+04 4.8651160692334292e+04 4.0049595075074772e+04 3.2985369004433633e+04 2.7218694939778637e+04 2.2540689616171170e+04 1.8770217999205070e+04 1.5750976708737247e+04 1.3348813485504439e+04 1.1449264742750163e+04 9.8579023066164791e+03 8.6343592561050882e+03 7.6957995116259744e+03 6.9748140587074495e+03 6.4172591216295395e+03 5.9803153738117708e+03 5.6307418752110434e+03 5.3433010049526383e+03 5.0993395266910265e+03 4.8854804104053846e+03 4.6924736639884259e+03 4.5142659998150602e+03 4.3471496285885160e+03 4.1888006835846727e+03 4.0378085777460064e+03 3.8933121135221222e+03 3.7544640195631891e+03 3.6202022176356586e+03 3.4888529861448901e+03 3.3578404323927653e+03 3.2228567630551952e+03 3.0770530395096262e+03 2.9092568747719629e+03 2.7025136404672194e+03 2.4331772710074979e+03 2.0742092535335532e+03 1.6040987851339223e+03 1.0194306014726121e+03 3.4465007689002380e+02 -3.6883616717865340e+02 -1.0562615777875305e+03 -1.6583824201411680e+03 -2.1371465141592521e+03 -2.4820440195369342e+03 -2.7057009950935471e+03 -2.8348328543493062e+03 -2.8996541015062890e+03 -2.9264997794044693e+03 -2.9341299927635819e+03 -2.9341355833499988e+03 -2.9321257524675807e+03 -2.9291997337543939e+03 -2.9257912614969891e+03 -2.9221641363368167e+03 -2.9183367343244913e+03 -2.9142232786812483e+03 -2.9098087987973918e+03 -2.9050829360133557e+03 -2.8999593517248418e+03 -2.8943695774864850e+03 -2.8882307213301433e+03 -2.8814499083115356e+03 -2.8739408211318237e+03 -2.8654838279953506e+03 -2.8560922233370620e+03 -2.8455607494403430e+03 -2.8337370049222882e+03 -2.8204558918918910e+03 -2.8055474339785001e+03 -2.7888416079083277e+03 -2.7701958580573560e+03 -2.7494095883658670e+03 -2.7264367313683392e+03 -2.7012206105858991e+03 -2.6738201388009807e+03 -2.6444498236560244e+03 -2.6134753351610930e+03 -2.5815933015559895e+03 -2.5498820654919091e+03 -2.5198313779633063e+03 -2.4938647489887289e+03 -2.4751995942995704e+03 -2.4685329451860307e+03 -2.4805489261125513e+03 -2.5211137601007094e+03 -2.6051696877846666e+03 -2.7563993685450482e+03 -3.0143208358390079e+03 4.5251410124751446e+03 +4.1217032226161356e-03 1.1083796558635043e+05 3.1228994443509571e+05 6.5706798327753285e+05 1.1018370183882078e+06 1.5291685767453057e+06 1.7650833042943908e+06 1.7366453698125700e+06 1.5758672853861924e+06 1.4125289900668240e+06 1.2716958643454898e+06 1.1383927523033617e+06 1.0109460302196335e+06 8.9253408179518511e+05 7.8419186821282073e+05 6.8561520803230687e+05 5.9711715758231794e+05 5.1871498244140064e+05 4.4961569155148242e+05 3.8885782454335742e+05 3.3554427376748965e+05 2.8887693466188177e+05 2.4840642730854062e+05 2.1593616992131472e+05 1.9498039341409339e+05 1.7598150682105508e+05 1.5131534721042291e+05 1.2682974731030229e+05 1.0557214341551498e+05 8.7591793741301721e+04 7.2485977470859638e+04 5.9859443234101214e+04 4.9359846912335692e+04 4.0676293734017956e+04 3.3535582277953275e+04 2.7698550305267563e+04 2.2956676408973508e+04 1.9128961711227486e+04 1.6059049260783440e+04 1.3612577597032849e+04 1.1674750213964749e+04 1.0048488958811873e+04 8.7959004857658838e+03 7.8334810087417673e+03 7.0931322049464379e+03 6.5200274669674272e+03 6.0706952453379490e+03 5.7112927278747229e+03 5.4160455156996668e+03 5.1658378775088850e+03 4.9469075083332109e+03 4.7496939316470489e+03 4.5679020102934046e+03 4.3976404229828831e+03 4.2364446397422171e+03 4.0827947466516180e+03 3.9357395353092006e+03 3.7943460375659333e+03 3.6574575874549246e+03 3.5232785801897990e+03 3.3890603568348697e+03 3.2502295422373650e+03 3.0995178535238133e+03 2.9250836940786453e+03 2.7089545924766921e+03 2.4260867112242076e+03 2.0478640136719537e+03 1.5515536297859276e+03 9.3361833173407138e+02 2.2003477141649441e+02 -5.3469295785004124e+02 -1.2619357686407657e+03 -1.8989420710168531e+03 -2.4054103229815423e+03 -2.7702087837314511e+03 -3.0066932034918295e+03 -3.1431370019808619e+03 -3.2115211840516026e+03 -3.2397177822664980e+03 -3.2475765284575355e+03 -3.2474251567300616e+03 -3.2451376774991045e+03 -3.2418766118609524e+03 -3.2380968866275894e+03 -3.2340802130563684e+03 -3.2298413049462201e+03 -3.2252941368992597e+03 -3.2204079119218436e+03 -3.2151770946480342e+03 -3.2095060820041358e+03 -3.2033191206500883e+03 -3.1965244800590863e+03 -3.1890193519359873e+03 -3.1807062219519244e+03 -3.1713518542425350e+03 -3.1609572308916268e+03 -3.1493010820351251e+03 -3.1362147020756520e+03 -3.1215153969846147e+03 -3.1050150567161627e+03 -3.0865254914084958e+03 -3.0658870200210149e+03 -3.0428871032275133e+03 -3.0174615393155400e+03 -2.9895532888785820e+03 -2.9592275188069207e+03 -2.9267216629219670e+03 -2.8924404324334705e+03 -2.8571547971424229e+03 -2.8220564475739443e+03 -2.7888028442772438e+03 -2.7600640416161373e+03 -2.7394061124650907e+03 -2.7320257081756040e+03 -2.7453238471172358e+03 -2.7902190208883439e+03 -2.8832474869732496e+03 -3.0506171378557124e+03 -3.3360759755525050e+03 4.5810340765276542e+03 +4.1471062613820699e-03 1.1068818390387821e+05 3.1192014624494553e+05 6.5632606881146273e+05 1.1006414696834278e+06 1.5276183365702629e+06 1.7635025355367626e+06 1.7353762713311815e+06 1.5750286753257592e+06 1.4120923038852406e+06 1.2716171764266153e+06 1.1386341821347272e+06 1.0114649602935390e+06 8.9328508091157617e+05 7.8512992875914113e+05 6.8669671253613255e+05 5.9830243172761775e+05 5.1996994550572190e+05 4.5091127400720993e+05 3.9016931627104676e+05 3.3685087898261647e+05 2.9016146519582637e+05 2.4965662701971221e+05 2.1715974657123620e+05 1.9622476670156477e+05 1.7724710901177101e+05 1.5253951304992859e+05 1.2797821518436728e+05 1.0663475636199770e+05 8.8565020013138113e+04 7.3369155649095672e+04 6.0654011028725326e+04 5.0068897509414644e+04 4.1304196123538983e+04 3.4087643849914704e+04 2.8180718925679885e+04 2.3375280399936084e+04 1.9490486447144602e+04 1.6369948696134150e+04 1.3879118946828703e+04 1.1902889706265934e+04 1.0241538819148647e+04 8.9596762402057611e+03 7.9731505357690039e+03 7.2131904826793634e+03 6.6242991395184454e+03 6.1623613064627061e+03 5.7929371879428654e+03 5.4897172931342820e+03 5.2331225444789179e+03 5.0090027244395515e+03 4.8074831784673570e+03 4.6220227935268113e+03 4.4485425835455508e+03 4.2844333924348684e+03 4.1280622327103392e+03 3.9783842058193322e+03 3.8343767054471668e+03 3.6947837803832908e+03 3.5576817077070891e+03 3.4201400734197273e+03 3.2773061274980100e+03 3.1214704148435694e+03 2.9400875459901513e+03 2.7141150105830375e+03 2.4170406466958821e+03 2.0185929224106362e+03 1.4947588754306751e+03 8.4187792483508224e+02 8.7539108129169861e+01 -7.1049863151104671e+02 -1.4795504925004409e+03 -2.1531833406054116e+03 -2.6887359181758220e+03 -3.0744251416031161e+03 -3.3243737159122934e+03 -3.4684911568587663e+03 -3.5406131869780343e+03 -3.5702254518901514e+03 -3.5783215498492264e+03 -3.5780035351848264e+03 -3.5754226781347616e+03 -3.5718079301288235e+03 -3.5676364175996819e+03 -3.5632086842971803e+03 -3.5585355450304992e+03 -3.5535307610417503e+03 -3.5481467557118885e+03 -3.5423831164316266e+03 -3.5361344637639472e+03 -3.5293173578534293e+03 -3.5218307420168562e+03 -3.5135613261716685e+03 -3.5043997699645051e+03 -3.4940985379027238e+03 -3.4826455434130808e+03 -3.4698026540593692e+03 -3.4553839597503866e+03 -3.4391881997045616e+03 -3.4210081296842127e+03 -3.4006363904684927e+03 -3.3778952199018249e+03 -3.3525595293761003e+03 -3.3245459082518582e+03 -3.2937969661560014e+03 -3.2603844686496564e+03 -3.2245700412868746e+03 -3.1867995909862020e+03 -3.1479225312279368e+03 -3.1092501454370149e+03 -3.0726169070944989e+03 -3.0409529519278913e+03 -3.0181922792168807e+03 -3.0100587206557343e+03 -3.0247097681565378e+03 -3.0741742440768680e+03 -3.1766703797501482e+03 -3.3610706347457558e+03 -3.6755864697897582e+03 4.6376171521390506e+03 +4.1726658651270159e-03 1.1053814428204164e+05 3.1155026816034201e+05 6.5558431894457794e+05 1.0994460034295237e+06 1.5260668494883636e+06 1.7619172899492264e+06 1.7340985439880933e+06 1.5741776222217570e+06 1.4116399656125093e+06 1.2715200540165601e+06 1.1388549618114817e+06 1.0119616711551829e+06 8.9401290885668143e+05 7.8604443833447085e+05 6.8775481344824191e+05 5.9946488977752195e+05 5.2120302000131441e+05 4.5218615842699853e+05 3.9146149962866295e+05 3.3813970820056566e+05 2.9142984388789133e+05 2.5089232979683171e+05 2.1837032593119275e+05 1.9745721464628351e+05 1.7850198228655665e+05 1.5375471375788539e+05 1.2911963709999900e+05 1.0769214089217280e+05 8.9534668786768700e+04 7.4250216778392976e+04 6.1447720027735297e+04 5.0778142119278600e+04 4.1933143707916883e+04 3.4641409806817544e+04 2.8665073379778391e+04 2.3796391642305116e+04 1.9854699899419647e+04 1.6683599792247838e+04 1.4148378244682406e+04 1.2133638246511136e+04 1.0437020137148424e+04 9.1256655528040264e+03 8.1147954461315312e+03 7.3349822380339338e+03 6.7300714150218146e+03 6.2553130484181611e+03 5.8756756335284472e+03 5.5643166491066504e+03 5.3011931476739919e+03 5.0717646176005210e+03 4.8658387085913819e+03 4.6766243057874126e+03 4.4998506624640204e+03 4.3327600202669100e+03 4.1736025196395576e+03 4.0212358071115291e+03 3.8745435750418237e+03 3.7321657183517204e+03 3.5920439135841289e+03 3.4510566309290557e+03 3.3040573731191698e+03 3.1428727653184410e+03 2.9542175969354794e+03 2.7179249766859875e+03 2.4059410379816804e+03 1.9862577707703392e+03 1.4335220164725333e+03 7.4394870448972779e+02 -5.3176151993019403e+01 -8.9667503481259075e+02 -1.7096066612399852e+03 -2.4216759576618297e+03 -2.9877474121516793e+03 -3.3953561229251027e+03 -3.6594305516942618e+03 -3.8115975049079261e+03 -3.8876391197722915e+03 -3.9187342926627052e+03 -3.9270768586984050e+03 -3.9265821045900611e+03 -3.9236914860219836e+03 -3.9197036509067734e+03 -3.9151189710577632e+03 -3.9102577813462576e+03 -3.9051267506399795e+03 -3.8996394638668253e+03 -3.8937305716352666e+03 -3.8874050961648763e+03 -3.8805473486666733e+03 -3.8730657846374638e+03 -3.8648495136080933e+03 -3.8557741926526392e+03 -3.8457180004645875e+03 -3.8344183781757938e+03 -3.8218493825015080e+03 -3.8077551333181441e+03 -3.7919315786560642e+03 -3.7741578804942910e+03 -3.7542066186873867e+03 -3.7318502206164503e+03 -3.7068918478962651e+03 -3.6790932321504115e+03 -3.6483506342862884e+03 -3.6146063256887164e+03 -3.5779390293062329e+03 -3.5386358800753173e+03 -3.4971862237990749e+03 -3.4545221884998759e+03 -3.4120811524331116e+03 -3.3718842885877370e+03 -3.3371359075196597e+03 -3.3121579972768072e+03 -3.3032302641124115e+03 -3.3193078818346221e+03 -3.3735904547735749e+03 -3.4860697641872612e+03 -3.6884279036994699e+03 -4.0335828909268866e+03 4.6948987509229100e+03 +4.1983829987982347e-03 1.1038784213869783e+05 3.1118030878857465e+05 6.5484272730689158e+05 1.0982506037885703e+06 1.5245141321372911e+06 1.7603276714645100e+06 1.7328123068951131e+06 1.5733143117429542e+06 1.4111721887816277e+06 1.2714047308683635e+06 1.1390553393425669e+06 1.0124364135399659e+06 8.9471780978500657e+05 7.8693562583731185e+05 6.8878971746030229e+05 6.0060471108317538e+05 5.2241435455476702e+05 4.5344046083798958e+05 3.9273445737742633e+05 3.3941081129232881e+05 2.9268208895556431e+05 2.5211352412311960e+05 2.1956786815982190e+05 1.9867766671182518e+05 1.7974602308310912e+05 1.5496081733538379e+05 1.3025385960945553e+05 1.0874412877979175e+05 9.0500563395664372e+04 7.5128981666290507e+04 6.2240393830320216e+04 5.1487411709815526e+04 4.2562978562702687e+04 3.5196736181488428e+04 2.9151485608489158e+04 2.4219899066846185e+04 2.0221508264360462e+04 1.6999925571917280e+04 1.4420294299531834e+04 1.2366948917542875e+04 1.0634899270081876e+04 9.2938456954192534e+03 8.2584015153687833e+03 7.4584994495919791e+03 6.8373404151258655e+03 6.3495490060980428e+03 5.9595076557406492e+03 5.6398432431199581e+03 5.3700487541453213e+03 5.1351912606980441e+03 4.9247573800506188e+03 4.7317020754006217e+03 4.5515587850267075e+03 4.3814171620179904e+03 4.2194066259603451e+03 4.0642835179575836e+03 3.9148336421263061e+03 3.7695876956212933e+03 3.6263460177583979e+03 3.4817862192226589e+03 3.3304530861747517e+03 3.1636856290824271e+03 2.9674212998928383e+03 2.7203122767048476e+03 2.3926867037849970e+03 1.9507160243819676e+03 1.3676446597826937e+03 6.3956219193216907e+02 -2.0246020992914100e+02 -1.0936562061855157e+03 -1.9526194827478369e+03 -2.7050057595027884e+03 -3.3030864479179195e+03 -3.7336833006554039e+03 -4.0125709211256608e+03 -4.1731777888315919e+03 -4.2533277237284519e+03 -4.2859756034866905e+03 -4.2945740569598120e+03 -4.2938920387542175e+03 -4.2906746022558309e+03 -4.2862934845076416e+03 -4.2812733880434944e+03 -4.2759554352669866e+03 -4.2703418916039964e+03 -4.2643462045254555e+03 -4.2578842177562938e+03 -4.2509667133430166e+03 -4.2434671384981366e+03 -4.2352854089585408e+03 -4.2263002722147794e+03 -4.2163757382531639e+03 -4.2053768231804788e+03 -4.1930251920570863e+03 -4.1792802242136213e+03 -4.1638673710250887e+03 -4.1465634631891089e+03 -4.1271270338842669e+03 -4.1053094030685734e+03 -4.0808616982588132e+03 -4.0535669692266265e+03 -4.0231731121343960e+03 -3.9895548938574893e+03 -3.9526542610486936e+03 -3.9125572673049533e+03 -3.8695779281315085e+03 -3.8242513625014954e+03 -3.7775968573312425e+03 -3.7311846516679989e+03 -3.6872326984299989e+03 -3.6492341483963955e+03 -3.6219198559274496e+03 -3.6121552614948705e+03 -3.6297361032039526e+03 -3.6890956740191573e+03 -3.8120946009809659e+03 -4.0333755711435329e+03 -4.4108161325279279e+03 4.7528874893639459e+03 +4.2242586332901849e-03 1.1023727410267129e+05 3.1081026401044987e+05 6.5410129527263460e+05 1.0970552859439095e+06 1.5229602431372390e+06 1.7587337458397667e+06 1.7315176840004325e+06 1.5724389137305154e+06 1.4106891780076372e+06 1.2712714371695777e+06 1.1392355605251587e+06 1.0128894363582792e+06 8.9540002671865327e+05 7.8780371953441249e+05 6.8980163127117034e+05 6.0172207565903477e+05 5.2360409918463288e+05 4.5467429930590239e+05 3.9398827490694576e+05 3.4066424126863852e+05 2.9391822216900159e+05 2.5332020234257105e+05 2.2075233754702029e+05 1.9988605687684519e+05 1.8097913268375181e+05 1.5615769661910683e+05 1.3138073382391260e+05 1.0979055590812377e+05 9.1462530707033235e+04 7.6005273989568130e+04 6.3031858188493061e+04 5.2196538670615912e+04 4.3193543474083512e+04 3.5753479056531440e+04 2.9639827017428928e+04 2.4645690578518232e+04 2.0590816328843048e+04 1.7318847376854646e+04 1.4694804077921504e+04 1.2602772900972988e+04 1.0835140709328178e+04 9.4641921899629015e+03 8.4039529405896919e+03 7.5837327189085909e+03 6.9461010921743873e+03 6.4450667399182721e+03 6.0444320398862728e+03 5.7162960644428667e+03 5.4396878616352742e+03 5.1992802262475998e+03 4.9842355921453891e+03 4.7872511915515115e+03 4.6036606394284590e+03 4.4303970070642199e+03 4.2654650955840316e+03 4.1075160042816306e+03 3.9552333363131174e+03 3.8070333677976828e+03 3.6605681028549902e+03 3.5123041548278261e+03 3.3564620092153759e+03 3.1838683910654559e+03 2.9796443668988722e+03 2.7212023645863974e+03 2.3771732734872880e+03 1.9118207614840837e+03 1.2969224457928021e+03 5.2844200905011451e+02 -3.6067234286822600e+02 -1.3018885055826352e+03 -2.2091186034345792e+03 -3.0037748443757041e+03 -3.6354123585344491e+03 -4.0901069551099731e+03 -4.3845213925089183e+03 -4.5539734767107320e+03 -4.6384276412355257e+03 -4.6727006472017938e+03 -4.6815647161138722e+03 -4.6806844686015775e+03 -4.6771224663990452e+03 -4.6723270580199705e+03 -4.6668484026272390e+03 -4.6610494452970970e+03 -4.6549277796768656e+03 -4.6483967565346484e+03 -4.6413523364457233e+03 -4.6338113996139591e+03 -4.6256359523050523e+03 -4.6167169179890716e+03 -4.6069221326563666e+03 -4.5961033411469753e+03 -4.5841116879061110e+03 -4.5706522794904586e+03 -4.5556689636553738e+03 -4.5388675658039829e+03 -4.5200047847020387e+03 -4.4988174310409904e+03 -4.4750344374096885e+03 -4.4483845014181488e+03 -4.4186294837673931e+03 -4.3855027636071627e+03 -4.3488564008723451e+03 -4.3086320317846894e+03 -4.2649234288034813e+03 -4.2180729141981055e+03 -4.1686638079986742e+03 -4.1178071785814955e+03 -4.0672131629526589e+03 -4.0193069790239588e+03 -3.9778858707113263e+03 -3.9481112736587197e+03 -3.9374654194708883e+03 -3.9566292126917679e+03 -4.0213350640786393e+03 -4.1554115635728549e+03 -4.3966190043030838e+03 -4.8080575830726839e+03 4.8115920901047994e+03 +4.2502937454811807e-03 1.1008643493991024e+05 3.1044013348344009e+05 6.5336002150475641e+05 1.0958600709236073e+06 1.5214051648259796e+06 1.7571355855257316e+06 1.7302148161171672e+06 1.5715515961780299e+06 1.4101911334269475e+06 1.2711204032888473e+06 1.1393958690351553e+06 1.0133209869990450e+06 8.9605980137447244e+05 7.8864894701168675e+05 6.9079076151345496e+05 6.0281716408416000e+05 5.2477240520370810e+05 4.5588779383640480e+05 3.9522304013583990e+05 3.4190005417702696e+05 2.9513826875069831e+05 2.5451236056540356e+05 2.2192370242601627e+05 2.0108232355519853e+05 1.8220121714703867e+05 1.5734522923342412e+05 1.3250011539034086e+05 1.1083126227321247e+05 9.2420401150723425e+04 7.6878920345530176e+04 6.3821941077871015e+04 5.2905356899186874e+04 4.3824682035274483e+04 3.6311494665832201e+04 3.0129968577972613e+04 2.5073653152514518e+04 2.0962527557074587e+04 1.7640284942249709e+04 1.4971842764264824e+04 1.2841059521932048e+04 1.1037707108833565e+04 9.6366788221871575e+03 8.5514323420042037e+03 7.7106712628228051e+03 7.0563472154091105e+03 6.5418628187777358e+03 6.1304467474985668e+03 5.7936734146892195e+03 5.5101083826611384e+03 5.2640285722422277e+03 5.0442692730080835e+03 4.8432662932266685e+03 4.6561494667120160e+03 4.4796912858814358e+03 4.3117679885618954e+03 4.1509214097588501e+03 3.9957285111456208e+03 3.8444857410183190e+03 3.6946895020128036e+03 3.5425848668117255e+03 3.3820518032847531e+03 3.2033790759126605e+03 2.9908307420386636e+03 2.7205183270072876e+03 2.3592931407008814e+03 1.8694206124848861e+03 1.2211449719676289e+03 4.1030378505259637e+02 -5.2818201352661231e+02 -1.5218307377111237e+03 -2.4796482427122851e+03 -3.3186017143782683e+03 -3.9854023159985309e+03 -4.4653462267886725e+03 -4.7760280473311132e+03 -4.9547459184297504e+03 -5.0437075727021720e+03 -5.0796808076334401e+03 -5.0888205340763043e+03 -5.0877306389560390e+03 -5.0838056131129279e+03 -5.0785740717616072e+03 -5.0726127981610334e+03 -5.0663076349209841e+03 -5.0596512244156775e+03 -5.0525568633924986e+03 -5.0448995097786910e+03 -5.0367024938871418e+03 -5.0278157812708887e+03 -5.0181208326854958e+03 -5.0074740014542349e+03 -4.9957141246953561e+03 -4.9826777379855939e+03 -4.9680525764070308e+03 -4.9517660675175957e+03 -4.9335034156602724e+03 -4.9130001328832759e+03 -4.8899701704068520e+03 -4.8641189013677731e+03 -4.8351514186708564e+03 -4.8028072740066254e+03 -4.7668046213923672e+03 -4.7269715523047225e+03 -4.6832494076887988e+03 -4.6357400824168462e+03 -4.5848156881644018e+03 -4.5311102700531665e+03 -4.4758314834365246e+03 -4.4208366789806296e+03 -4.3687692400662063e+03 -4.3237463599498333e+03 -4.2913826303541855e+03 -4.2798093602697354e+03 -4.3006389886008628e+03 -4.3709710630865738e+03 -4.5167051772874956e+03 -4.7788824584135255e+03 -5.2260992869463744e+03 4.8710213832541685e+03 +4.2764893182702700e-03 1.0993531986739206e+05 3.1006990743358736e+05 6.5261889886719966e+05 1.0946649413749487e+06 1.5198489952942678e+06 1.7555332684282346e+06 1.7289038263354732e+06 1.5706525327105329e+06 1.4096782573311008e+06 1.2709518573400534e+06 1.1395365064604185e+06 1.0137313111345409e+06 8.9669737394282664e+05 7.8947153506415349e+05 6.9175731468344806e+05 6.0389015744043188e+05 5.2591942511976266e+05 4.5708106627948617e+05 3.9643884341240127e+05 3.4311830899877183e+05 2.9634225727625313e+05 2.5568999857403644e+05 2.2308193508691486e+05 2.0226640951669711e+05 1.8341218724058181e+05 1.5852329754253902e+05 1.3361186446716971e+05 1.1186609198448980e+05 9.3374008743676095e+04 7.7749750299351726e+04 6.4610472764794627e+04 5.3613701883446847e+04 4.4456238739602784e+04 3.6870639493151830e+04 3.0621780926707026e+04 2.5503672929423679e+04 2.1336544177664327e+04 1.7964156472002440e+04 1.5251343822157598e+04 1.3081756295584915e+04 1.1242559315736096e+04 9.8112776576105134e+03 8.7008207665214304e+03 7.8393029075596723e+03 7.1680713586435568e+03 6.6399328041704193e+03 6.2175488991292905e+03 5.8719728909810683e+03 5.5813076289731662e+03 5.3294328282671304e+03 5.1048538673099238e+03 4.8997415582641870e+03 4.7090180508189005e+03 4.5292912606921436e+03 4.3583048719265953e+03 4.1944873465284463e+03 4.0363044343533620e+03 3.8819271613495757e+03 3.7286887869555185e+03 3.5726018828877104e+03 3.4071890312374494e+03 3.2221743272499839e+03 3.0009225749787429e+03 2.7181808488186653e+03 2.3389354178983203e+03 1.8233597011631141e+03 1.1400957187710105e+03 2.8485506678882831e+02 -7.0536897436304332e+02 -1.7539542685670870e+03 -2.7647673191554836e+03 -3.6501214086611926e+03 -4.3537514692757131e+03 -4.8601392574873471e+03 -5.1878566231919121e+03 -5.3762764895286482e+03 -5.4699564207933254e+03 -5.5077077338583067e+03 -5.5171334793955484e+03 -5.5158220525841271e+03 -5.5115148160272865e+03 -5.5058244430035493e+03 -5.4993555508329437e+03 -5.4925179952271610e+03 -5.4852991763614446e+03 -5.4776123815908559e+03 -5.4693104022978141e+03 -5.4604233849130742e+03 -5.4507886310012536e+03 -5.4402776498163048e+03 -5.4287347185148947e+03 -5.4159850988174412e+03 -5.4018499513153793e+03 -5.3859987953080799e+03 -5.3683417142098897e+03 -5.3485422576006058e+03 -5.3263136547632448e+03 -5.3013458160737855e+03 -5.2733193373084587e+03 -5.2419144859785965e+03 -5.2068473409498165e+03 -5.1678200957300714e+03 -5.1246355619784408e+03 -5.0772348013219944e+03 -5.0257282503614724e+03 -4.9705193508108759e+03 -4.9122954955099949e+03 -4.8523659201145492e+03 -4.7927427904466158e+03 -4.7362989821988485e+03 -4.6874881132846331e+03 -4.6524013887420351e+03 -4.6398527427929339e+03 -4.6624343288024220e+03 -4.7386835087360587e+03 -4.8966779471578020e+03 -5.1809092119400384e+03 -5.6657540923198540e+03 4.9311843077067324e+03 +4.3028463406143405e-03 1.0978392552577436e+05 3.0969958619756566e+05 6.5187793474036606e+05 1.0934699119967464e+06 1.5182917038837904e+06 1.7539268704554457e+06 1.7275848484371700e+06 1.5697418933298737e+06 1.4091507536782243e+06 1.2707660234620005e+06 1.1396577118002565e+06 1.0141206522522138e+06 8.9731298301909282e+05 7.9027170959018043e+05 6.9270149706401746e+05 6.0494123727036570e+05 5.2704531254759862e+05 4.5825424023891921e+05 3.9763577741792344e+05 3.4431906754928816e+05 2.9753021957521926e+05 2.5685311972891414e+05 2.2422701168941407e+05 2.0343826180527237e+05 1.8461195837044000e+05 1.5969178859946606e+05 1.3471584569640001e+05 1.1289489326107912e+05 9.4323191111203370e+04 7.8617596428074845e+04 6.5397285869553962e+04 5.4321410780572325e+04 4.5088059070779847e+04 3.7430770368925601e+04 3.1115134463226190e+04 2.5935635309714413e+04 2.1712767270303979e+04 1.8290378714780145e+04 1.5533239057202238e+04 1.3324808975432243e+04 1.1449656402941217e+04 9.9879590596024955e+03 8.8520976933191887e+03 7.9696140845827540e+03 7.2812648894025169e+03 6.7392712353876359e+03 6.3057347579960251e+03 5.9511913696916217e+03 5.6532822963490016e+03 5.3954889818534912e+03 5.1659843241679118e+03 4.9566706926112329e+03 4.7622587087749253e+03 4.5791877162732353e+03 4.4050648107548095e+03 4.2382008861244185e+03 4.0769457782997415e+03 3.9193393043955434e+03 3.7625437562762208e+03 3.6023278158258568e+03 3.4318391414001994e+03 3.2402093874335401e+03 3.0098601950504740e+03 2.7141081792473337e+03 2.3159858921724726e+03 1.7734775875737205e+03 1.0535519782098795e+03 1.5179523285296040e+02 -8.9262336652526221e+02 -1.9987431350594934e+03 -3.0650495681245675e+03 -3.9989856266444317e+03 -4.7411730711792716e+03 -5.2752433194311170e+03 -5.6207926442161688e+03 -5.8193667222394024e+03 -5.9179834216701211e+03 -5.9575934714460936e+03 -5.9673159223242001e+03 -5.9657706011666633e+03 -5.9610612185877490e+03 -5.9548884366626717e+03 -5.9478859601864833e+03 -5.9404888152847934e+03 -5.9326788572123432e+03 -5.9243694106000121e+03 -5.9153898908406745e+03 -5.9057776408469026e+03 -5.8953566508885733e+03 -5.8839879710766008e+03 -5.8715031860034123e+03 -5.8577132885378614e+03 -5.8424232685538745e+03 -5.8252835530969332e+03 -5.8061859212752815e+03 -5.7847711945610927e+03 -5.7607291811420491e+03 -5.7337245235994533e+03 -5.7034117754884246e+03 -5.6694451110960672e+03 -5.6315159276982404e+03 -5.5893096949649234e+03 -5.5426025821827670e+03 -5.4913353885352499e+03 -5.4356275277924688e+03 -5.3759153717692898e+03 -5.3129423848725546e+03 -5.2481245689888265e+03 -5.1836367997620073e+03 -5.1225932094105019e+03 -5.0698009508323757e+03 -5.0318522048090526e+03 -5.0182783727500864e+03 -5.0427013614068364e+03 -5.1251697507457993e+03 -5.2960504741320601e+03 -5.6034616895688278e+03 -6.1278557856414109e+03 4.9920899124813095e+03 +4.3293658075654580e-03 1.0963224799244307e+05 3.0932916318886948e+05 6.5113712002787262e+05 1.0922749987720845e+06 1.5167333507241872e+06 1.7523164541706182e+06 1.7262579824683643e+06 1.5688198335849873e+06 1.4086088184571103e+06 1.2705631225508023e+06 1.1397597215900021e+06 1.0144892517049341e+06 8.9790686564150674e+05 7.9104969553547155e+05 6.9362351464065048e+05 6.0597058554617246e+05 5.2815022212313616e+05 4.5940744098035176e+05 3.9881393707385805e+05 3.4550239437866991e+05 2.9870219063280564e+05 2.5800173087611664e+05 2.2535891217530068e+05 2.0459783165887406e+05 1.8580045051047110e+05 1.6085059409284257e+05 1.3581192817272918e+05 1.1391751842551661e+05 9.5267789504015833e+04 7.9482294359631953e+04 6.6182215425768067e+04 5.5028322492642030e+04 4.5719989589965830e+04 3.7991744563863118e+04 3.1609899446021253e+04 2.6369425047006014e+04 2.2091096852399856e+04 1.8618867040350393e+04 1.5817458680833277e+04 1.3570161603202849e+04 1.1658955703760805e+04 1.0166691709489342e+04 9.0052410414560509e+03 8.1015898283152301e+03 7.3959179595869291e+03 6.8398716159438709e+03 6.3949997144880163e+03 6.0313249907832269e+03 5.7260284498924957e+03 5.4621924651189593e+03 5.2276550852743467e+03 5.0140469196984586e+03 4.8158632810598638e+03 4.6293709508958918e+03 4.4520363593290485e+03 4.2820485505621582e+03 4.1176366106252735e+03 3.9567031651054726e+03 3.7962314240112510e+03 3.6317343501439605e+03 3.4559664515963955e+03 3.2574380776815647e+03 3.0175820858917959e+03 2.7082160989151093e+03 2.2903269821725194e+03 1.7196092127331713e+03 9.6128478505107478e+02 1.0815411589652738e+01 -1.0903458133768593e+03 -2.2566941475398221e+03 -3.3810836506612200e+03 -4.3658628409973862e+03 -5.1483985937973612e+03 -5.7114349321227619e+03 -6.0756415386010503e+03 -6.2848384233553625e+03 -6.3886182629158702e+03 -6.4301705803135292e+03 -6.4402007525473919e+03 -6.4384086828892350e+03 -6.4332764515186091e+03 -6.4265967826170063e+03 -6.4190337663232058e+03 -6.4110487991915597e+03 -6.4026178767391857e+03 -6.3936544096081807e+03 -6.3839631810774918e+03 -6.3735891256431405e+03 -6.3623422502837275e+03 -6.3500726190090409e+03 -6.3365984840073243e+03 -6.3217158494181158e+03 -6.3052127082371408e+03 -6.2867194858776938e+03 -6.2661086597901885e+03 -6.2429972094066052e+03 -6.2170503401045244e+03 -6.1879061530055760e+03 -6.1551918464159589e+03 -6.1185341852905503e+03 -6.0775986304200069e+03 -6.0320531356512292e+03 -5.9816458128953354e+03 -5.9263172166450158e+03 -5.8661961898532891e+03 -5.8017536954611678e+03 -5.7337920970025953e+03 -5.6638395460253132e+03 -5.5942418232456221e+03 -5.5283665299660433e+03 -5.4713921155637272e+03 -5.4304370269584124e+03 -5.4157863015102757e+03 -5.4421435440963924e+03 -5.5311447518647974e+03 -5.7155615594280580e+03 -6.0473215725901046e+03 -6.6132592123573113e+03 5.0537473580757596e+03 +4.3560487203084305e-03 1.0948028141302532e+05 3.0895863695605157e+05 6.5039644935973210e+05 1.0910801816573534e+06 1.5151739450549739e+06 1.7507020966353540e+06 1.7249233632663277e+06 1.5678865289555769e+06 1.4080526446480902e+06 1.2703433738111863e+06 1.1398427701693280e+06 1.0148373491811637e+06 8.9847925733153895e+05 7.9180571686206141e+05 6.9452357302153029e+05 6.0697838461292360e+05 5.2923430943459668e+05 4.6054079534595355e+05 3.9997341944580380e+05 3.4666835667282209e+05 2.9985820849167934e+05 2.5913584225443070e+05 2.2647762018304755e+05 2.0574507442723773e+05 1.8697758813023797e+05 1.6199961029220279e+05 1.3689998541075565e+05 1.1493382389395055e+05 9.6207648812131229e+04 8.0343682809301332e+04 6.6965098935720656e+04 5.5734277738116456e+04 4.6351878019723918e+04 3.8553419880621470e+04 3.2105946086582833e+04 2.6804926340290927e+04 2.2471431965329677e+04 1.8949535516458589e+04 1.6103931375150658e+04 1.3817756560206293e+04 1.1870412848206635e+04 1.0347442628636096e+04 9.1602271794242588e+03 8.2352137755552994e+03 7.5120194976439152e+03 6.9417264011794441e+03 6.4853382715919470e+03 6.1123691427854219e+03 5.7995415097030791e+03 5.5295381417713515e+03 5.2898600732588211e+03 5.0718629700362553e+03 4.8698231221255392e+03 4.6798307674480857e+03 4.4992075525207556e+03 4.3260163035997848e+03 4.1583603850832833e+03 3.9939990478433651e+03 3.8297280084529702e+03 3.6607922291184091e+03 3.4795341335004446e+03 3.2738127787029935e+03 3.0240248607204317e+03 2.7004178876752126e+03 2.2618376962499528e+03 1.6615848451285581e+03 8.6305885079908683e+02 -1.3840159687697385e+02 -1.2989475084553308e+03 -2.5283169850537552e+03 -3.7134732533835063e+03 -4.7514384001576691e+03 -5.5761778323048293e+03 -6.1695099666276783e+03 -6.5532287430883789e+03 -6.7735337786383197e+03 -6.8827111878854485e+03 -6.9262922389295036e+03 -6.9366414832539513e+03 -6.9345893064103002e+03 -6.9290127366653423e+03 -6.9218007794467530e+03 -6.9136492534930621e+03 -6.9050471695208780e+03 -6.8959643360934579e+03 -6.8863143006970140e+03 -6.8758759105208219e+03 -6.8647021018767273e+03 -6.8525882011481190e+03 -6.8393727394996913e+03 -6.8248599728166591e+03 -6.8088301695426162e+03 -6.7910534685370803e+03 -6.7711393503842746e+03 -6.7489399554835900e+03 -6.7240472656610673e+03 -6.6961006573198338e+03 -6.6647103686062910e+03 -6.6294748801739406e+03 -6.5899921820657082e+03 -6.5459004964207097e+03 -6.4968494399014389e+03 -6.4425575982983009e+03 -6.3829653000793969e+03 -6.3182112863675657e+03 -6.2488028347094496e+03 -6.1756041416506232e+03 -6.1002610941622170e+03 -6.0252988813357515e+03 -5.9543512456319022e+03 -5.8929863615535005e+03 -5.8488751836175588e+03 -5.8330939135213885e+03 -5.8614817519668568e+03 -5.9573411770824614e+03 -6.1559682967727103e+03 -6.5132898964943370e+03 -7.1228403836467196e+03 5.1161659178364771e+03 +4.3828960861986063e-03 1.0932802224676932e+05 3.0858799681959639e+05 6.4965592128948192e+05 1.0898854908309104e+06 1.5136135250148091e+06 1.7490838830184890e+06 1.7235811198505922e+06 1.5669421397925757e+06 1.4074824273677901e+06 1.2701069952908435e+06 1.1399070900687273e+06 1.0151651827317678e+06 8.9903039217577293e+05 7.9253999650549609e+05 6.9540187738202594e+05 6.0796481709713978e+05 5.3029773095434858e+05 4.6165443167182192e+05 4.0111432365001953e+05 3.4781702416023059e+05 3.0099831415635918e+05 2.6025546740300459e+05 2.2758312296017405e+05 2.0687994949030396e+05 1.8814330012145179e+05 1.6313873799108839e+05 1.3797989530944568e+05 1.1594367016318259e+05 9.7142617575077777e+04 8.1201603611437487e+04 6.7745776422552270e+04 5.6439119120385163e+04 4.6983573324483485e+04 3.9115654742283994e+04 3.2603144641637209e+04 2.7242022924989167e+04 2.2853670760206092e+04 1.9282296985917350e+04 1.6392584358718967e+04 1.4067534620050616e+04 1.2083981801175498e+04 1.0530177202503884e+04 9.3170309365935664e+03 8.3704681667267487e+03 7.6295572021955522e+03 7.0448269870825461e+03 6.5767440312124036e+03 6.1943184484940211e+03 5.8738162370680666e+03 5.5975202943704026e+03 5.3525926802758431e+03 5.1301110709990044e+03 4.9241290911093092e+03 4.7305564647292667e+03 4.5465658973169811e+03 4.3700895422235335e+03 4.1990999326249075e+03 4.0312065566720148e+03 3.8630089212334651e+03 3.6894712420894953e+03 3.5025041974453643e+03 3.2892844117986365e+03 3.0291232382077201e+03 2.6906242933205453e+03 2.2303935918705961e+03 1.5992300291306954e+03 7.5863250050754323e+02 -2.9618139448866157e+02 -1.5188502977206556e+03 -2.8141342831456491e+03 -4.0628371792391199e+03 -5.1564146201386575e+03 -6.0252789967941662e+03 -6.6502837370867128e+03 -7.0543997940240015e+03 -7.2863154435807883e+03 -7.4011330861747783e+03 -7.4468323345966855e+03 -7.4575123412415232e+03 -7.4551861808619296e+03 -7.4491429768881308e+03 -7.4413723842113141e+03 -7.4326033397746751e+03 -7.4233537569070295e+03 -7.4135869172693438e+03 -7.4032165582044936e+03 -7.3919942377771922e+03 -7.3799813198374859e+03 -7.3669577269824058e+03 -7.3527498905062203e+03 -7.3371473814421943e+03 -7.3199139578786535e+03 -7.3008010153379100e+03 -7.2793961118387315e+03 -7.2555299763013036e+03 -7.2287683947573605e+03 -7.1987236429411696e+03 -7.1649767254916633e+03 -7.1270959924571516e+03 -7.0846492426603882e+03 -7.0372461090546176e+03 -6.9845170196798063e+03 -6.9261495103778661e+03 -6.8620837031963947e+03 -6.7924687238114293e+03 -6.7178499518247972e+03 -6.6391564595436575e+03 -6.5581576624707877e+03 -6.4775669768074431e+03 -6.4012974289151025e+03 -6.3353260304889891e+03 -6.2879034591501832e+03 -6.2709360019644910e+03 -6.3014543535867288e+03 -6.4045094709825407e+03 -6.6180461522479609e+03 -7.0021871354616587e+03 -7.6574965688250813e+03 5.1793549793472948e+03 +4.4099089187999048e-03 1.0917546348005930e+05 3.0821724683313398e+05 6.4891554465027014e+05 1.0886909068165410e+06 1.5120521103982411e+06 1.7474618583054489e+06 1.7222313641376018e+06 1.5659868170130427e+06 1.4068983580941814e+06 1.2698542030644321e+06 1.1399529118253523e+06 1.0154729883421450e+06 8.9956050290420419e+05 7.9325275633080734e+05 6.9625863243958866e+05 6.0893006579994387e+05 5.3134064397638792e+05 4.6274847970872285e+05 4.0223675076280470e+05 3.4894846901754424e+05 3.0212255149645451e+05 2.6136062307123287e+05 2.2867541127764457e+05 2.0800242017597842e+05 1.8929751972431500e+05 1.6426788244866786e+05 1.3905154011379351e+05 1.1694692179545724e+05 9.8072547988596445e+04 8.2055901748448217e+04 6.8524090478228609e+04 5.7142691192414823e+04 4.7614925788409324e+04 3.9678308278603043e+04 3.3101365503052170e+04 2.7680598162498030e+04 2.3237710582954209e+04 1.9617063143666164e+04 1.6683343452984205e+04 1.4319435002743536e+04 1.2299614902226733e+04 1.0714859206523312e+04 9.4756256166005496e+03 8.5073338488489717e+03 7.7485175373045049e+03 7.1491637003371943e+03 6.6692096814666447e+03 6.2771667512916229e+03 5.9488467211207326e+03 5.6661326120243712e+03 5.4158457568958993e+03 5.1887829368533176e+03 4.9787715427183766e+03 4.7815368289236667e+03 4.5940983645835213e+03 4.4142530883181298e+03 4.2398374526670277e+03 4.0683045858971941e+03 3.8960487567047894e+03 3.7177402121251716e+03 3.5248374775459870e+03 3.3038024204474091e+03 3.0328100190183391e+03 2.6787435011925331e+03 2.1958667363388990e+03 1.5323655353534898e+03 6.4775761252252789e+02 -4.6285805486303292e+02 -1.7504867559678717e+03 -3.1146817140613721e+03 -4.4298094289143719e+03 -5.5815108654686255e+03 -6.4964887920169112e+03 -7.1545910791638371e+03 -7.5800204048110782e+03 -7.8240666201815011e+03 -7.9447755699833178e+03 -7.9926855395658176e+03 -8.0037083428651667e+03 -8.0010937916939238e+03 -7.9945608318416826e+03 -7.9862042881375291e+03 -7.9767876526799910e+03 -7.9668590755522755e+03 -7.9563749585068053e+03 -7.9452492839560282e+03 -7.9332049176582941e+03 -7.9203120925532739e+03 -7.9063345777153872e+03 -7.8910861167967714e+03 -7.8743408822518313e+03 -7.8558453186977895e+03 -7.8353311565176664e+03 -7.8123630179739512e+03 -7.7867491061682122e+03 -7.7580277695352815e+03 -7.7257828648096147e+03 -7.6895647423849578e+03 -7.6489101570011790e+03 -7.6033552480940543e+03 -7.5524796592986540e+03 -7.4958937478082516e+03 -7.4332524193185873e+03 -7.3644956100494792e+03 -7.2897833343634720e+03 -7.2097009268919628e+03 -7.1252454899417335e+03 -7.0383159728233231e+03 -6.9518231606206573e+03 -6.8699729881570202e+03 -6.7991711160396862e+03 -6.7482761577722449e+03 -6.7300648325509464e+03 -6.7628172750272206e+03 -6.8734179228047851e+03 -7.1025890316197583e+03 -7.5148532735907784e+03 -8.2181463732138891e+03 5.2433240458336886e+03 +4.4370882379230819e-03 1.0902260215842615e+05 3.0784637671202217e+05 6.4817529787325859e+05 1.0874964619010692e+06 1.5104897271717852e+06 1.7458360917834230e+06 1.7208742112784008e+06 1.5650207242812475e+06 1.4063006291051114e+06 1.2695852090470272e+06 1.1399804635312927e+06 1.0157609995997525e+06 9.0006982081589324e+05 7.9394421710298699e+05 6.9709404244981834e+05 6.0987431359662290e+05 5.3236320655082818e+05 4.6382307053887023e+05 4.0334080372664548e+05 3.5006276577849191e+05 3.0323096715558635e+05 2.6245132912766974e+05 2.2975447934373669e+05 2.0911245367810808e+05 1.9044018445238748e+05 1.6538695333019111e+05 1.4011480637487408e+05 1.1794344739907101e+05 9.8997295908634143e+04 8.2906425375522856e+04 6.9299886308168716e+04 5.7844840518019475e+04 4.8245787089546873e+04 4.0241240409172358e+04 3.3600479285801615e+04 2.8120535128525717e+04 2.3623448058924889e+04 1.9953744614048428e+04 1.6976133149412599e+04 1.4573395429823735e+04 1.2517262907014336e+04 1.0901450833768451e+04 9.6359830125105527e+03 8.6457902802546050e+03 7.8688857291438444e+03 7.2547257896681267e+03 6.7627269849462555e+03 6.3609071022569115e+03 6.0246263660755367e+03 5.7353681784038281e+03 5.4796116012423745e+03 5.2478697589620360e+03 5.0337403183466740e+03 4.8327601252898485e+03 4.6417913809921429e+03 4.4584911805609599e+03 4.2805545046326679e+03 4.1052713108835160e+03 3.9288212816071646e+03 3.7455669840161895e+03 3.5464936172927046e+03 3.3173147524014598e+03 3.0350160630051555e+03 2.6646811047126871e+03 2.1581256688474900e+03 1.4608073130269515e+03 5.3017956120694930e+02 -6.3877418857369253e+02 -1.9943002572667451e+03 -3.4305080591993378e+03 -4.8150392727048911e+03 -6.0274636190330348e+03 -6.9906124847635856e+03 -7.6832864152996181e+03 -8.1309765295833631e+03 -8.3876911195594184e+03 -8.5145510361669058e+03 -8.5647673727902002e+03 -8.5761453556134347e+03 -8.5732274621665547e+03 -8.5661807793606167e+03 -8.5572099779485197e+03 -8.5471145903637735e+03 -8.5364743843415945e+03 -8.5252385153526720e+03 -8.5133212683019883e+03 -8.5004153621212863e+03 -8.4866003565815954e+03 -8.4716230904067361e+03 -8.4552840105709038e+03 -8.4373411513906558e+03 -8.4175228118870928e+03 -8.3955401020540103e+03 -8.3709336589899849e+03 -8.3434880047867555e+03 -8.3127127637898466e+03 -8.2781620077275184e+03 -8.2393539606541799e+03 -8.1957922643507991e+03 -8.1469798775302279e+03 -8.0924650037306401e+03 -8.0318370155270895e+03 -7.9647165506134334e+03 -7.8910433809230244e+03 -7.8109889318795085e+03 -7.7251804131390727e+03 -7.6346862252997744e+03 -7.5415410739246881e+03 -7.4488625852880259e+03 -7.3611637202758839e+03 -7.2852993160884771e+03 -7.2307651553667547e+03 -7.2112501951542499e+03 -7.2463440518156640e+03 -7.3648527192430556e+03 -7.6104093348303104e+03 -8.0521478625350583e+03 -8.8057298012227457e+03 5.3080827375839390e+03 +4.4644350696642294e-03 1.0886943478293845e+05 3.0747538608482998e+05 6.4743519524813269e+05 1.0863021390237988e+06 1.5089264077509486e+06 1.7442066835849844e+06 1.7195097817961059e+06 1.5640440167123501e+06 1.4056894244412906e+06 1.2693002226476141e+06 1.1399899706088353e+06 1.0160294478799144e+06 9.0055857553677412e+05 7.9461459849574196e+05 6.9790831118604424e+05 6.1079774336922925e+05 5.3336557740509871e+05 4.6487833649574482e+05 4.0442658726486319e+05 3.5115999124650069e+05 3.0432361045708181e+05 2.6352760847058182e+05 2.3082032471821355e+05 2.1021002097389157e+05 1.9157123601646497e+05 1.6649586464471344e+05 1.4116958490731276e+05 1.1893311960806618e+05 9.9916720851429884e+04 8.3753025842268646e+04 7.0073011772215701e+04 5.8545415729712411e+04 4.8876010371211472e+04 4.0804311924208196e+04 3.4100356913895674e+04 2.8561716699706565e+04 2.4010779176326490e+04 2.0292251027806309e+04 1.7270876677122757e+04 1.4829352180587197e+04 1.2736875029972161e+04 1.1089912724358974e+04 9.7980734238215755e+03 8.7858155370017666e+03 7.9906457642470714e+03 7.3615014183888998e+03 6.8572867679763976e+03 6.4455317479936703e+03 6.1011478789276844e+03 5.8052194602265881e+03 5.5438819484796031e+03 5.3073621962960624e+03 5.0890247373970460e+03 4.8842140900557206e+03 4.6896308211845426e+03 4.5027874665375148e+03 4.3212319996984925e+03 4.1420841791127750e+03 3.9612994250442903e+03 3.7729184126126984e+03 3.5674310555450497e+03 3.3297678423345474e+03 3.0356702671014764e+03 2.6483400768603801e+03 2.1170353639199543e+03 1.3843664444241829e+03 4.0563716274014365e+02 -8.2428100400614312e+02 -2.2507450393367699e+03 -3.7621752736719945e+03 -5.2191913127394637e+03 -6.4950265406584713e+03 -7.5084739587246995e+03 -8.2372438064363487e+03 -8.7081744127598122e+03 -8.9781134102251945e+03 -9.1113927137546798e+03 -9.1640142470191186e+03 -9.1757601450250550e+03 -9.1725234001677873e+03 -9.1649381622186211e+03 -9.1553237825510914e+03 -9.1445173683108260e+03 -9.1331317335023105e+03 -9.1211084072103895e+03 -9.1083620365885381e+03 -9.0945536866517250e+03 -9.0797727183795014e+03 -9.0637482354920703e+03 -9.0462667575832147e+03 -9.0270694148621442e+03 -9.0058654989066963e+03 -8.9823445098770608e+03 -8.9560220132814848e+03 -8.9266576531849296e+03 -8.8937309976667639e+03 -8.8567649187022289e+03 -8.8152439893355695e+03 -8.7686371665553506e+03 -8.7164126527642256e+03 -8.6580857087047661e+03 -8.5932237763556186e+03 -8.5214115285171611e+03 -8.4425885954212172e+03 -8.3569383545460678e+03 -8.2651318791028607e+03 -8.1683122529625016e+03 -8.0686563825143612e+03 -7.9694985455479709e+03 -7.8756733509563237e+03 -7.7945060724955383e+03 -7.7361599389427874e+03 -7.7152794432006340e+03 -7.7528258684961465e+03 -7.8796179846562300e+03 -8.1423379975627122e+03 -8.6149500655462580e+03 -9.4212083044154842e+03 5.3736407933891323e+03 +4.4919504464435139e-03 1.0871595578888580e+05 3.0710426975456084e+05 6.4669522022927261e+05 1.0851079421208997e+06 1.5073621839952737e+06 1.7425736812863264e+06 1.7181381877845947e+06 1.5630568459168994e+06 1.4050649239136584e+06 1.2689994523555888e+06 1.1399816560731099e+06 1.0162785627261533e+06 9.0102699489585357e+05 7.9526411908807419e+05 6.9870164187958732e+05 6.1170053797386773e+05 5.3434791586785449e+05 4.6591441107694688e+05 4.0549420779444266e+05 3.5224022440628125e+05 3.0540053331809962e+05 2.6458948694005545e+05 2.3187294822733424e+05 2.1129509674111166e+05 1.9269062024906863e+05 1.6759453468321142e+05 1.4221577074496885e+05 1.1991581505760562e+05 1.0083068599106433e+05 8.4595557711092159e+04 7.0843317422369160e+04 5.9244267583054425e+04 4.9505450309723281e+04 4.1367384562223197e+04 3.4600869703733348e+04 2.9004025638753003e+04 2.4399599369062973e+04 2.0632491098865994e+04 1.7567496070906302e+04 1.5087240149220315e+04 1.2958398988676845e+04 1.1280203996522072e+04 9.9618656751794442e+03 8.9273863210038653e+03 8.1137803892701559e+03 7.4694776582660625e+03 6.9528789108732153e+03 6.5310321192212905e+03 6.1784032578120750e+03 5.8756782960712644e+03 5.6086479605842560e+03 5.3672503661763822e+03 5.1446135888363679e+03 4.9358859225152364e+03 4.7376020001495917e+03 4.5471249950970332e+03 4.3618501928310789e+03 4.1787199015445076e+03 3.9934552687722053e+03 3.7997603515484579e+03 3.5876070129604782e+03 3.3411065949880222e+03 3.0346995439192356e+03 2.6296207426303172e+03 2.0724571962660207e+03 1.3028491013970506e+03 2.7386262404006465e+02 -1.0197383637092248e+03 -2.5202862617295627e+03 -4.1102585428362891e+03 -5.6429455353681906e+03 -6.9849705142711700e+03 -8.0509157566617778e+03 -8.8173569902357995e+03 -9.3125406244766382e+03 -9.5962786517766745e+03 -9.7362546967396192e+03 -9.7913835011943738e+03 -9.8035104068398105e+03 -9.7999387303215080e+03 -9.7917892202024686e+03 -9.7815009050559875e+03 -9.7699500512826653e+03 -9.7577839964767518e+03 -9.7449362492142063e+03 -9.7313218809646951e+03 -9.7165687420689628e+03 -9.7007764859938379e+03 -9.6836556484777866e+03 -9.6649781687810155e+03 -9.6444674800647626e+03 -9.6218129742434521e+03 -9.5966815172788301e+03 -9.5685624787118923e+03 -9.5371893848645905e+03 -9.5020103687477986e+03 -9.4625156378352476e+03 -9.4181545358758704e+03 -9.3683597078425428e+03 -9.3125629686658085e+03 -9.2502450805842727e+03 -9.1809505760746342e+03 -9.1042264058088676e+03 -9.0200120819706408e+03 -8.9285034940609821e+03 -8.8304176375131319e+03 -8.7269757837177403e+03 -8.6205037115158211e+03 -8.5145625061879946e+03 -8.4143235621486037e+03 -8.3276045983242529e+03 -8.2652676337069897e+03 -8.2429575206099798e+03 -8.2830715856896095e+03 -8.4185358085714124e+03 -8.6992245196837848e+03 -9.2041586874672612e+03 -1.0065564814451993e+04 5.4400080719997795e+03 +4.5196354070441537e-03 1.0856215837628578e+05 3.0673301876257453e+05 6.4595538145150559e+05 1.0839138876337751e+06 1.5057970575583696e+06 1.7409371185138316e+06 1.7167595293621453e+06 1.5620593656348749e+06 1.4044273121300580e+06 1.2686831041617903e+06 1.1399557405463345e+06 1.0165085719743220e+06 9.0147530500692315e+05 7.9589299634293397e+05 6.9947423714470793e+05 6.1258288021308905e+05 5.3531038178691652e+05 4.6693142885613762e+05 4.0654377334462339e+05 3.5330354633716680e+05 3.0646179015929857e+05 2.6563699322989467e+05 2.3291235387921019e+05 2.1236765927646818e+05 1.9379828702662137e+05 1.6868288595383716e+05 1.4325326309454290e+05 1.2089141435815292e+05 1.0173905815389223e+05 8.5433878771987191e+04 7.1610656536649374e+04 5.9941249007753693e+04 5.0133963179391445e+04 4.1930321085008814e+04 3.5101889445424531e+04 2.9447344677831945e+04 2.4789803598391813e+04 2.0974372700803960e+04 1.7865912239431611e+04 1.5346992902816653e+04 1.3181781049206091e+04 1.1472282279124383e+04 1.0127327136758371e+04 9.0704779697700778e+03 8.2382711122426790e+03 7.5786404846620326e+03 7.0494923392512683e+03 6.6173988202017799e+03 6.2563837808937815e+03 5.9467358857295694e+03 5.6739002164654075e+03 5.4275238352785354e+03 5.2004951229861053e+03 4.9877622773783705e+03 4.7856896658287860e+03 4.5914862089355629e+03 4.4023886750324818e+03 4.2151544442410795e+03 4.0252600378073412e+03 3.8260576423167913e+03 3.6069774788730761e+03 3.3512743689225817e+03 3.0320288010752070e+03 2.6084207524941521e+03 2.0242489070777190e+03 1.2160565040641109e+03 1.3458149487891180e+02 -1.2255148361567508e+03 -2.8034000577361303e+03 -4.4753463307303919e+03 -6.0869973536161024e+03 -7.4980836835304044e+03 -8.6187991097289450e+03 -9.4245394054284079e+03 -9.9450220815608427e+03 -1.0243152713884410e+04 -1.0390111961971506e+04 -1.0447853417813314e+04 -1.0460374784221398e+04 -1.0456451511108149e+04 -1.0447711107151543e+04 -1.0436717439816512e+04 -1.0424387570338016e+04 -1.0411404886958335e+04 -1.0397694469202081e+04 -1.0383171877372690e+04 -1.0367430131433974e+04 -1.0350579685997938e+04 -1.0332311646810245e+04 -1.0312382697126161e+04 -1.0290497752624746e+04 -1.0266325382228348e+04 -1.0239508757606220e+04 -1.0209509889305858e+04 -1.0176034902512820e+04 -1.0138499068601999e+04 -1.0096358414881612e+04 -1.0049025422603208e+04 -9.9958947409347893e+03 -9.9363601094275327e+03 -9.8698661819232566e+03 -9.7959335687678649e+03 -9.7140696797189794e+03 -9.6242139335252941e+03 -9.5265753112085931e+03 -9.4219188606762982e+03 -9.3115476669934978e+03 -9.1979432850955363e+03 -9.0849041169286174e+03 -8.9779540067824073e+03 -8.8854258923705493e+03 -8.8189130174209295e+03 -8.7951069761977233e+03 -8.8379077545615310e+03 -8.9824462604053715e+03 -9.2819369804144626e+03 -9.8206921908781551e+03 -1.0739803760630050e+04 5.5071945536009216e+03 +4.5474909966516357e-03 1.0840803909872058e+05 3.0636163249739032e+05 6.4521567141107412e+05 1.0827199655689520e+06 1.5042310715130654e+06 1.7392970915762084e+06 1.7153739341324088e+06 1.5610517213457322e+06 1.4037767711613504e+06 1.2683513821008664e+06 1.1399124427895804e+06 1.0167197013770352e+06 9.0190373036540579e+05 7.9650144658064458e+05 7.0022629890154849e+05 6.1344495280117122e+05 5.3625313545260485e+05 4.6792952540237317e+05 4.0757539347470162e+05 3.5435004012710985e+05 3.0750743781941076e+05 2.6667015880175459e+05 2.3393854877944375e+05 2.1342769041256100e+05 1.9489419019225426e+05 1.6976084511738230e+05 1.4428196528781846e+05 1.2185980206608895e+05 1.0264170781007846e+05 8.6267850054326074e+04 7.2374885150031478e+04 6.0636215155165810e+04 5.0761406914189247e+04 4.2492985350059447e+04 3.5603288481710129e+04 2.9891556600222390e+04 2.5181286433467179e+04 2.1317802942803090e+04 1.8166045033799019e+04 1.5608542740001116e+04 1.3406966072826028e+04 1.1666103745829796e+04 1.0294423746342740e+04 9.2150644677952787e+03 8.3640982053029347e+03 7.6889747729419823e+03 7.1471150163877865e+03 6.7046216189050756e+03 6.3350799958892985e+03 6.0183827799375822e+03 5.7396287024482053e+03 5.4881716109892723e+03 5.2566570435940184e+03 5.0398292573469935e+03 4.8338779919623357e+03 4.6358529374310056e+03 4.4428263659240893e+03 4.2513630203128450e+03 4.0566840913639467e+03 3.8517741037409933e+03 3.6254971986312580e+03 3.3602129608025716e+03 3.0275809212581717e+03 2.5846350568858056e+03 1.9722645718166016e+03 1.1237848816945368e+03 -1.2487376755734017e+01 -1.4419877428530406e+03 -3.1005735799242389e+03 -4.8580404202450482e+03 -6.5520576395648341e+03 -8.0351714757640884e+03 -9.2130039538302826e+03 -1.0059724202360459e+04 -1.0606586054101277e+04 -1.0919722180440125e+04 -1.1073960372091187e+04 -1.1134423225313187e+04 -1.1147352869869505e+04 -1.1143060736909734e+04 -1.1133701893031153e+04 -1.1121970374481185e+04 -1.1108825724874536e+04 -1.1094988960866627e+04 -1.1080376309764335e+04 -1.1064903887546607e+04 -1.1048128212079064e+04 -1.1030171065472487e+04 -1.1010703231835509e+04 -1.0989465439642920e+04 -1.0966143238364633e+04 -1.0940383418952515e+04 -1.0911804362261391e+04 -1.0879839517217590e+04 -1.0844166279903797e+04 -1.0804165584730088e+04 -1.0759257711146811e+04 -1.0708816588665895e+04 -1.0652197128994534e+04 -1.0588753250470852e+04 -1.0517891833307183e+04 -1.0439108518733101e+04 -1.0351869293748370e+04 -1.0256113509443350e+04 -1.0152063837704927e+04 -1.0040535582308696e+04 -9.9229173926535841e+03 -9.8018537404404506e+03 -9.6813912141518485e+03 -9.5674223104592256e+03 -9.4688187408736540e+03 -9.3979385221583052e+03 -9.3725679653310508e+03 -9.4181786185404544e+03 -9.5722073911634070e+03 -9.8913620401304379e+03 -1.0465488697941986e+04 -1.1444951071932248e+04 5.5752103413045370e+03 +4.5755182668931731e-03 1.0825359351960225e+05 3.0599010747973691e+05 6.4447608581607172e+05 1.0815261912706043e+06 1.5026642438121950e+06 1.7376536672162774e+06 1.7139815100157957e+06 1.5600340617937918e+06 1.4031134776487313e+06 1.2680044868863360e+06 1.1398519797865478e+06 1.0169121743404606e+06 9.0231249378546758e+05 7.9708968494133174e+05 7.0095802831570338e+05 6.1428693830918625e+05 5.3717633752200962e+05 4.6890883720110444e+05 4.0858917919278692e+05 3.5537979078694154e+05 3.0853753547135717e+05 2.6768901779999584e+05 2.3495154304752377e+05 2.1447517543582158e+05 1.9597828747806864e+05 1.7082834292016472e+05 1.4530178473132677e+05 1.2282086665366788e+05 1.0353850906247957e+05 8.7097335835589067e+04 7.3135862081997067e+04 6.1329023442739104e+04 5.1387641166199348e+04 4.3055242379606898e+04 3.6104939784374132e+04 3.0336544320189401e+04 2.5573942130642321e+04 2.1662688245072419e+04 1.8467813315959629e+04 1.5871820750258943e+04 1.3633897563699120e+04 1.1861623150531350e+04 1.0463120032910916e+04 9.3611184595365630e+03 8.4912407089443095e+03 7.8004642961668596e+03 7.2457339365676016e+03 6.7926894380700151e+03 6.4144817102277839e+03 6.0906088706455621e+03 5.8058228031253402e+03 5.5491821329632912e+03 5.3130865001117336e+03 5.0920724059332088e+03 4.8821505711828377e+03 4.6802063897500284e+03 4.4831415065144001e+03 4.2873200821238170e+03 4.0876969141313152e+03 3.8768725218357472e+03 3.6431196614002888e+03 3.3678625902825347e+03 3.0212767430534354e+03 2.5581558817193818e+03 1.9163545694954425e+03 1.0258254358216413e+03 -1.6763188600256788e+02 -1.6695432007211850e+03 -3.4123050392342861e+03 -5.2589559449871822e+03 -7.0388527465949246e+03 -8.5970566141215513e+03 -9.8344289328940577e+03 -1.0723864239394712e+04 -1.1298220157310816e+04 -1.1626994338739907e+04 -1.1788816663281779e+04 -1.1852113085168994e+04 -1.1865465192881253e+04 -1.1860786324872326e+04 -1.1850780550751702e+04 -1.1838277576778721e+04 -1.1824281169465483e+04 -1.1809551603295176e+04 -1.1793995815093185e+04 -1.1777530545904208e+04 -1.1759674082541667e+04 -1.1740560078986020e+04 -1.1719838075848889e+04 -1.1697232124339591e+04 -1.1672407530311781e+04 -1.1644988319386212e+04 -1.1614566947792473e+04 -1.1580547059882341e+04 -1.1542575949069240e+04 -1.1499998687819603e+04 -1.1452198186816768e+04 -1.1398508077324308e+04 -1.1338241733020506e+04 -1.1270711445952727e+04 -1.1195284600966135e+04 -1.1111430788072836e+04 -1.1018572625446466e+04 -1.0916649423366822e+04 -1.0805898164174112e+04 -1.0687186685659855e+04 -1.0561993079276677e+04 -1.0433132116147981e+04 -1.0304909809445571e+04 -1.0183604060136746e+04 -1.0078649706335129e+04 -1.0003204223136800e+04 -9.9761982388804154e+03 -1.0024746102122024e+04 -1.0188695222120192e+04 -1.0528404928637307e+04 -1.1139505978020072e+04 -1.2182054163525128e+04 5.6440656626611535e+03 +4.6037182758774083e-03 1.0809881470193728e+05 3.0561843422348297e+05 6.4373661474580073e+05 1.0803325571975838e+06 1.5010966014053307e+06 1.7360068833187786e+06 1.7125823518405159e+06 1.5590065395269727e+06 1.4024376041462254e+06 1.2676426151336855e+06 1.1397745663854990e+06 1.0170862124417478e+06 9.0270181630854367e+05 7.9765792531034432e+05 7.0166962576265156e+05 6.1510901910124521e+05 5.3808014895735763e+05 4.6986950158654619e+05 4.0958524287773366e+05 3.5639288516500132e+05 3.0955214453577506e+05 2.6869360696692363e+05 2.3595134973407153e+05 2.1551010300515572e+05 1.9705054042723941e+05 1.7188531412748390e+05 1.4631263285536951e+05 1.2377450047473285e+05 1.0442933963288806e+05 8.7922203647165632e+04 7.3893448960534224e+04 6.2019533595162480e+04 5.2012527361053108e+04 4.3616958427454862e+04 3.6606717028506253e+04 3.0782190960819338e+04 2.5967664711675952e+04 2.2008934413629053e+04 1.8771135027213524e+04 1.6136756873674725e+04 1.3862517717632374e+04 1.2058793864232366e+04 1.0633379141722951e+04 9.5086112639440271e+03 8.6196764376956999e+03 7.9130917240816252e+03 7.3453351195959840e+03 6.8815903470667754e+03 6.4945779818400642e+03 6.1634033817296422e+03 5.8724712925735112e+03 5.6105432650893172e+03 5.3697700803130629e+03 5.1444767005478770e+03 4.9304904083594274e+03 4.7245271481787522e+03 4.5233116523235594e+03 4.3229993138423788e+03 4.1182671079031679e+03 3.9013146400611963e+03 3.6597970884472793e+03 3.3741618854770318e+03 3.0130350425483498e+03 2.5288727049883232e+03 1.8563655535013356e+03 9.2196430563150352e+02 -3.3114670912485809e+02 -1.9085761596986324e+03 -3.7391037375574438e+03 -5.6787214127687475e+03 -7.5481245213786342e+03 -9.1845791178643776e+03 -1.0483991388985431e+04 -1.1417932065345532e+04 -1.2020932328689651e+04 -1.2365997153580740e+04 -1.2535718417788574e+04 -1.2601964063746816e+04 -1.2615753190425085e+04 -1.2610669086479764e+04 -1.2599986927719496e+04 -1.2586677766193277e+04 -1.2571791385478504e+04 -1.2556129000085049e+04 -1.2539587802694847e+04 -1.2522085231298752e+04 -1.2503099554281756e+04 -1.2482776860354914e+04 -1.2460744493874316e+04 -1.2436709082176611e+04 -1.2410314780733475e+04 -1.2381161829387102e+04 -1.2348815587989417e+04 -1.2312648612138071e+04 -1.2272276672622442e+04 -1.2227007404096128e+04 -1.2176184673389420e+04 -1.2119100008623336e+04 -1.2055023384586637e+04 -1.1983223601637892e+04 -1.1903026769841794e+04 -1.1813875310067600e+04 -1.1715146459965872e+04 -1.1606779516970733e+04 -1.1489026414227063e+04 -1.1362809877837788e+04 -1.1229701448795638e+04 -1.1092693827172345e+04 -1.0956364064878398e+04 -1.0827392779705149e+04 -1.0715803103262326e+04 -1.0635587814740980e+04 -1.0606873119250509e+04 -1.0658489786884476e+04 -1.0832803720390455e+04 -1.1193989419929565e+04 -1.1843721420961829e+04 -1.2952181907476388e+04 5.7137708711886826e+03 +4.6320920882343599e-03 1.0794369969459721e+05 3.0524661239754327e+05 6.4299726406711305e+05 1.0791390747613278e+06 1.4995281619431828e+06 1.7343568351803273e+06 1.7111765677636079e+06 1.5579692914389607e+06 1.4017493272172138e+06 1.2672659637712126e+06 1.1396804152795901e+06 1.0172420358616791e+06 9.0307191725375026e+05 7.9820638025375968e+05 7.0236129080251057e+05 6.1591137727777206e+05 5.3896473096389417e+05 4.7081165667609090e+05 4.1056369819927483e+05 3.5738941186161857e+05 3.1055132859934698e+05 2.6968396556013299e+05 2.3693798473905327e+05 2.1653246506918577e+05 1.9811091431419301e+05 1.7293169745580954e+05 1.4731442506118232e+05 1.2472059973047196e+05 1.0531408084542834e+05 8.8742324276714004e+04 7.4647510243616896e+04 6.2707607682223359e+04 5.2635928750187879e+04 4.4178001042444310e+04 3.7108494664016260e+04 3.1228379930065505e+04 2.6362348040307559e+04 2.2356446714187539e+04 1.9075927256411414e+04 1.6403279961101951e+04 1.4092767471586258e+04 1.2257567913006187e+04 1.0805162860956827e+04 9.6575128904465528e+03 8.7493819872188178e+03 8.0268386233986721e+03 7.4459036063018684e+03 6.9713115546397630e+03 6.5753571106273312e+03 6.2367548602691913e+03 5.9395623259925151e+03 5.6722422877226873e+03 5.4266938031545760e+03 5.1970265458493341e+03 4.9788799141990603e+03 4.7687951617756326e+03 4.5633136667573235e+03 4.3583736242876830e+03 4.1483623835438657e+03 3.9250611499805759e+03 3.6754804219030461e+03 3.3790478690310165e+03 3.0027725157141194e+03 2.4966722344347268e+03 1.7921404239704639e+03 8.1198253564015181e+02 -5.0333333812324878e+02 -2.1594904355213112e+03 -4.0814900937441962e+03 -6.1179787205962784e+03 -8.0806303055588178e+03 -9.7985962907034536e+03 -1.1162627339131221e+04 -1.2142919887608032e+04 -1.2775750790446718e+04 -1.3137779226252929e+04 -1.3315724021185191e+04 -1.3385038088804806e+04 -1.3399279163885205e+04 -1.3393770683678324e+04 -1.3382381702068278e+04 -1.3368230470094795e+04 -1.3352414637379958e+04 -1.3335778094178006e+04 -1.3318207819762534e+04 -1.3299622023463211e+04 -1.3279457108281194e+04 -1.3257872179313110e+04 -1.3234471400418530e+04 -1.3208943203814337e+04 -1.3180909657911527e+04 -1.3149946162663593e+04 -1.3115589770980072e+04 -1.3077180623525064e+04 -1.3034301501070900e+04 -1.2986220972866209e+04 -1.2932242131399771e+04 -1.2871612537248515e+04 -1.2803556844015520e+04 -1.2727298433323598e+04 -1.2642120302271349e+04 -1.2547436548085607e+04 -1.2442576949301336e+04 -1.2327480819661654e+04 -1.2202415704500789e+04 -1.2068361650320458e+04 -1.1926987787421400e+04 -1.1781472626285258e+04 -1.1636676254887996e+04 -1.1499699892334405e+04 -1.1381180960992997e+04 -1.1295984573520524e+04 -1.1265485463477518e+04 -1.1320306874327556e+04 -1.1505444761196952e+04 -1.1889057793236974e+04 -1.2579131995877684e+04 -1.3756424587757207e+04 5.7843364479222300e+03 +4.6606407751556139e-03 1.0778824126963217e+05 3.0487463461120200e+05 6.4225803451850102e+05 1.0779457491698985e+06 1.4979589511791749e+06 1.7327035602518006e+06 1.7097642775420982e+06 1.5569224580000595e+06 1.4010488178157974e+06 1.2668747286005912e+06 1.1395697368209627e+06 1.0173798629339768e+06 9.0342301438078831e+05 7.9873526100714819e+05 7.0303322215318610e+05 6.1669419461403182e+05 5.3983024494314718e+05 4.7173544130998070e+05 4.1152466004149802e+05 3.5836946114970581e+05 3.1153515333215363e+05 2.7066013526948640e+05 2.3791146672968924e+05 2.1754225678603511e+05 1.9915937806785098e+05 1.7396743550336568e+05 1.4830708066635809e+05 1.2565906443174025e+05 1.0619261760805290e+05 8.9557571768591719e+04 7.5397913237139655e+04 6.3393110153662106e+04 5.3257710460115355e+04 4.4738239129363901e+04 3.7610147984794588e+04 3.1674994994737568e+04 2.6757885897506996e+04 2.2705129945389010e+04 1.9382106308051556e+04 1.6671317834682941e+04 1.4324586554147518e+04 1.2457896017285286e+04 1.0978431649568578e+04 9.8077920564549513e+03 8.8803327428615175e+03 8.1416854592963709e+03 7.5474234551476293e+03 7.0618394025033795e+03 6.6568066306028759e+03 6.3106511682851688e+03 6.0070834317477711e+03 5.7342658902826051e+03 5.4838431119373263e+03 5.2497057673451081e+03 5.0273008991348661e+03 4.8129897402447414e+03 4.6031237147601423e+03 4.3934151400881119e+03 4.1779495533211111e+03 3.9480716823501175e+03 3.6901193140192468e+03 3.3824559448077039e+03 2.9904037615885550e+03 2.4614383863073090e+03 1.7235183017433735e+03 6.9565604570958840e+02 -6.8450011193029252e+02 -2.4226987376138691e+03 -4.4399956630007155e+03 -6.5773831611656133e+03 -8.6371429270807239e+03 -1.0439982697143569e+04 -1.1871291438936554e+04 -1.2899839526131484e+04 -1.3563723997061710e+04 -1.3943409738354143e+04 -1.4129912604213336e+04 -1.4202417890531562e+04 -1.4217126219736007e+04 -1.4211173569765093e+04 -1.4199046323436387e+04 -1.4184015964694690e+04 -1.4167229913632202e+04 -1.4149576526674542e+04 -1.4130932084297236e+04 -1.4111215644170055e+04 -1.4089819836246012e+04 -1.4066917382783553e+04 -1.4042088250862464e+04 -1.4015001881182565e+04 -1.3985257287910921e+04 -1.3952403942613162e+04 -1.3915949341186040e+04 -1.3875199840347774e+04 -1.3829703715148604e+04 -1.3778688788996940e+04 -1.3721415593184725e+04 -1.3657085795552968e+04 -1.3584876743630663e+04 -1.3503964410469927e+04 -1.3413586782001732e+04 -1.3313128440061937e+04 -1.3201869557280852e+04 -1.3079749493979522e+04 -1.2947052090649109e+04 -1.2804817225554019e+04 -1.2654815892945993e+04 -1.2500420551929581e+04 -1.2346786714827764e+04 -1.2201454669569517e+04 -1.2075702973265654e+04 -1.1985307308220941e+04 -1.1952945613453394e+04 -1.2011112135875155e+04 -1.2207548077067117e+04 -1.2614570780416250e+04 -1.3346754195547930e+04 -1.4595893839334823e+04 5.8557730029797258e+03 +4.6893654144347669e-03 1.0763243594160443e+05 3.0450249736543826e+05 6.4151890751255385e+05 1.0767525627648290e+06 1.4963889844356042e+06 1.7310471087733891e+06 1.7083455671169730e+06 1.5558661809281386e+06 1.4003362416706057e+06 1.2664691013342233e+06 1.1394427388157814e+06 1.0174999094861160e+06 9.0375532396439696e+05 7.9924477748296654e+05 7.0368561765791301e+05 6.1745765250370244e+05 5.4067685244207329e+05 4.7264099498965888e+05 4.1246824442769290e+05 3.5933312489411957e+05 3.1250368640470214e+05 2.7162216013703187e+05 2.3887181706117804e+05 2.1853947644148537e+05 2.0019590419140231e+05 1.7499247468136478e+05 1.4929052284943001e+05 1.2658979835992887e+05 1.0706483839136318e+05 9.0367823420689150e+04 7.6144528109920735e+04 6.4075907870795374e+04 5.3877739538625057e+04 4.5297543007025371e+04 3.8111553195566339e+04 3.2121920352438439e+04 2.7154172055228966e+04 2.3054888510974248e+04 1.9689587769931648e+04 1.6940797348374508e+04 1.4557913536496933e+04 1.2659727632099286e+04 1.1153144666628787e+04 9.9594162062747837e+03 9.0125028895665455e+03 8.2576115982113588e+03 7.6498777399295059e+03 7.1531593598085747e+03 6.7389133027222479e+03 6.3850794750668629e+03 6.0750215038330189e+03 5.7966001642002866e+03 5.5412028677798926e+03 5.3024976053048658e+03 5.0757345674479493e+03 4.8570895481142716e+03 4.6427172568075657e+03 4.4280951991741222e+03 4.2069945236011554e+03 3.9703047985982798e+03 3.7036621169292453e+03 3.3843198852038718e+03 2.9758412662655855e+03 2.4230522652457844e+03 1.6503345039134481e+03 5.7275560341126391e+02 -8.7496224414974597e+02 -2.6986226920836675e+03 -4.8151631496033961e+03 -7.0576034208214351e+03 -9.2184506810785097e+03 -1.1109630126829927e+04 -1.2610956932745563e+04 -1.3689722353087629e+04 -1.4385920567895691e+04 -1.4783978380340201e+04 -1.4979383969348479e+04 -1.5055206927162080e+04 -1.5070398194878555e+04 -1.5063980914590855e+04 -1.5051082938340776e+04 -1.5035135200461656e+04 -1.5017336852281458e+04 -1.4998622562430848e+04 -1.4978857410798226e+04 -1.4957961383103398e+04 -1.4935281366559113e+04 -1.4911004321026743e+04 -1.4884684967684650e+04 -1.4855972933812371e+04 -1.4824443181003462e+04 -1.4789618128939104e+04 -1.4750974426192199e+04 -1.4707783232798121e+04 -1.4659556753122410e+04 -1.4605480330550346e+04 -1.4544770090760869e+04 -1.4476579821812373e+04 -1.4400037516427970e+04 -1.4314269685240541e+04 -1.4218467343704628e+04 -1.4111984328548659e+04 -1.3994048990135248e+04 -1.3864600766911812e+04 -1.3723940499361983e+04 -1.3573170489647717e+04 -1.3414168008136628e+04 -1.3250507862527578e+04 -1.3087653776043711e+04 -1.2933604167242909e+04 -1.2800306434824162e+04 -1.2704486296803050e+04 -1.2670181333032560e+04 -1.2731837849741005e+04 -1.2940061193573165e+04 -1.3371507499737834e+04 -1.4147623966199291e+04 -1.5471722571515997e+04 5.9280912771503745e+03 +4.7182670905081122e-03 1.0747627655341083e+05 3.0413019576049550e+05 6.4077989368910273e+05 1.0755595511186810e+06 1.4948183010458425e+06 1.7293875608498026e+06 1.7069205414915900e+06 1.5548005984700634e+06 1.3996117655919844e+06 1.2660492713499244e+06 1.1392996265536386e+06 1.0176023886916549e+06 9.0406906069116364e+05 7.9973513821218279e+05 7.0431867424527102e+05 6.1820193189326802e+05 5.4150471510549693e+05 4.7352845780596568e+05 4.1339456844956620e+05 3.6028049647272768e+05 3.1345699740908004e+05 2.7257008647503977e+05 2.3981905969606814e+05 2.1952412536902697e+05 2.0122046868465681e+05 1.7600676514337782e+05 1.5026467859351760e+05 1.2751270902680352e+05 1.0793063520520479e+05 9.1172959779412631e+04 7.6887227906370157e+04 6.4755870135251069e+04 5.4495884997978457e+04 4.5855784463435557e+04 3.8612587475878398e+04 3.2569040701349983e+04 2.7551100348600627e+04 2.3405626490886931e+04 1.9998286580280885e+04 1.7211644448724765e+04 1.4792685884087354e+04 1.2863010988365391e+04 1.1329259801777980e+04 1.0112351531334829e+04 9.1458654231326163e+03 8.3745953118918351e+03 7.7532485485230609e+03 7.2452560185180173e+03 6.8216631084121573e+03 6.4600262500314411e+03 6.1433627947694913e+03 5.8592305961920665e+03 5.5987573433996567e+03 5.3553847089454002e+03 5.1241615117176198e+03 4.9010725992193093e+03 4.6820690431596395e+03 4.4623843445935609e+03 4.2354622879070721e+03 3.9917179827560581e+03 3.7160558729037930e+03 3.3845718190714383e+03 2.9589953877162829e+03 2.3813921452815057e+03 1.5724205209889294e+03 4.4304679876184957e+02 -1.0750418473246659e+03 -2.9876928597760502e+03 -5.2075464129419161e+03 -7.5593215688834698e+03 -9.8253573004039154e+03 -1.1808447546776713e+04 -1.3382615590601235e+04 -1.4513619218287793e+04 -1.5243429205079901e+04 -1.5660595264949992e+04 -1.5865258501884018e+04 -1.5944529295230110e+04 -1.5960219566518619e+04 -1.5953316514562062e+04 -1.5939614300180705e+04 -1.5922709712120535e+04 -1.5903855651034159e+04 -1.5884035000261905e+04 -1.5863101120661200e+04 -1.5840975008270856e+04 -1.5816955774918424e+04 -1.5791245258325845e+04 -1.5763371851386311e+04 -1.5732964519920353e+04 -1.5699573143019026e+04 -1.5662691929219805e+04 -1.5621765348473467e+04 -1.5576027906883333e+04 -1.5524954123090247e+04 -1.5467685071356518e+04 -1.5403390568816172e+04 -1.5331174473596817e+04 -1.5250113309888822e+04 -1.5159282006832826e+04 -1.5057822587894667e+04 -1.4945056876229120e+04 -1.4820159112819134e+04 -1.4683068846877923e+04 -1.4534104646171656e+04 -1.4374433911166490e+04 -1.4206044740559795e+04 -1.4032722957171629e+04 -1.3860253687583907e+04 -1.3697113148044493e+04 -1.3555946164750982e+04 -1.3454469210388035e+04 -1.3418137732261406e+04 -1.3483433724667992e+04 -1.3703949351955482e+04 -1.4160865375733105e+04 -1.4982796622914979e+04 -1.6385064875310174e+04 6.0013021434990296e+03 +4.7473468944955839e-03 1.0731975952042727e+05 3.0375772122112324e+05 6.4004097773529903e+05 1.0743666970192338e+06 1.4932469014210738e+06 1.7277249771752115e+06 1.7054893106341471e+06 1.5537258520047404e+06 1.3988755556298562e+06 1.2656154261446982e+06 1.1391406028468246e+06 1.0176875115100289e+06 9.0436443739252700e+05 8.0020655025089555e+05 7.0493258789935824e+05 6.1892721322167339e+05 5.4231399461186968e+05 4.7439797037302679e+05 4.1430375019789051e+05 3.6121167070342734e+05 3.1439515777834534e+05 2.7350396278849780e+05 2.4075322112551096e+05 2.2049620786934611e+05 2.0223305096486685e+05 1.7701026071574434e+05 1.5122947862799958e+05 1.2842770763123120e+05 1.0878990357307188e+05 9.1972864631392280e+04 7.7625888555407349e+04 6.5432868714615208e+04 5.5112017855246639e+04 4.6412836808051878e+04 3.9113129041797081e+04 3.3016241308104036e+04 2.7948564746418753e+04 2.3757247711452324e+04 2.0308117094505382e+04 1.7483784235630101e+04 1.5028840008865214e+04 1.3067693135049722e+04 1.1506733706932777e+04 1.0266562991779270e+04 9.2803921628310745e+03 8.4926137826618706e+03 7.8575169827174159e+03 7.3381130896655714e+03 6.9050412438470776e+03 6.5354772561459231e+03 6.2120929089703786e+03 5.9221420619405371e+03 5.6564902171957319e+03 5.4083491308999610e+03 5.1725617075260061e+03 4.9449162514439986e+03 4.7211531084363114e+03 4.4962523186608887e+03 4.2633169203496973e+03 4.0122676337928174e+03 3.7272463051331756e+03 3.3831422202857998e+03 2.9397743413970888e+03 2.3363334519538853e+03 1.4896039956814584e+03 3.0629002135230166e+02 -1.2850679537010233e+03 -3.2903487493501793e+03 -5.6177104668470820e+03 -8.0832330384312136e+03 -1.0458681915667883e+04 -1.2537361041590866e+04 -1.4187277631716393e+04 -1.5372600360318751e+04 -1.6137358596456821e+04 -1.6574390825307124e+04 -1.6788677065703243e+04 -1.6871529624228962e+04 -1.6887735346635254e+04 -1.6880324687041495e+04 -1.6865783663711722e+04 -1.6847881513352266e+04 -1.6827926962062003e+04 -1.6806953067924791e+04 -1.6784800937186130e+04 -1.6761392661258396e+04 -1.6735977479681391e+04 -1.6708772768551622e+04 -1.6679279476176685e+04 -1.6647105032350639e+04 -1.6611773171391877e+04 -1.6572748695220944e+04 -1.6529442521991190e+04 -1.6481051001436874e+04 -1.6427009300243812e+04 -1.6366412378658266e+04 -1.6298381782691784e+04 -1.6221969326280459e+04 -1.6136197885059646e+04 -1.6040088621228711e+04 -1.5932732481304713e+04 -1.5813417967075633e+04 -1.5681262850845307e+04 -1.5536206826610649e+04 -1.5378586939319195e+04 -1.5209638446013078e+04 -1.5031464968505501e+04 -1.4848072282821593e+04 -1.4665580524418818e+04 -1.4492963990917629e+04 -1.4343594416814081e+04 -1.4236221024265737e+04 -1.4197777178559008e+04 -1.4266866810778994e+04 -1.4500195418411682e+04 -1.4983660045599872e+04 -1.5853346750446426e+04 -1.7337095915021531e+04 6.0754166089934170e+03 +4.7766059242419475e-03 1.0716287809010732e+05 3.0338507596676587e+05 6.3930216687052744e+05 1.0731739969577556e+06 1.4916748206532570e+06 1.7260593951779408e+06 1.7040519730869697e+06 1.5526420687194793e+06 1.3981277739900015e+06 1.2651677508844829e+06 1.1389658684361975e+06 1.0177554872728732e+06 9.0464166483096906e+05 8.0065921915164834e+05 7.0552755363899935e+05 6.1963367637681635e+05 5.4310485261185886e+05 4.7524967375581118e+05 4.1519590869275859e+05 3.6212674376900162e+05 3.1531824071010703e+05 2.7442383969515708e+05 2.4167433029185212e+05 2.2145573113130732e+05 2.0323363378884579e+05 1.7800291882560003e+05 1.5218485737042545e+05 1.2933470901605111e+05 1.0964254250481792e+05 9.2767424993403998e+04 7.8360388877426769e+04 6.6106777865512078e+04 5.5726011169520680e+04 4.6968574921587293e+04 3.9613057205068551e+04 3.3463408073173385e+04 2.8346459419828621e+04 2.4109655814168731e+04 2.0618993151156592e+04 1.7757141022895692e+04 1.5266311321744175e+04 1.3273719982164441e+04 1.1685521829089426e+04 1.0422014339305910e+04 9.4160537652699677e+03 8.6116431098921148e+03 7.9626631591338073e+03 7.4317134004873369e+03 6.9890321148947805e+03 6.6114175439330402e+03 6.2811967965260137e+03 5.9853188201297271e+03 5.7143845676911151e+03 5.4613723219934627e+03 5.2209145084530519e+03 4.9885972017544882e+03 4.7599427665084895e+03 4.5296680574492675e+03 4.2905215694430990e+03 4.0319090583941111e+03 3.7371778090107296e+03 3.3799598969617268e+03 2.9180841867399381e+03 2.2877487455958239e+03 1.4017087033283758e+03 1.6224043988025446e+02 -1.5053765324845090e+03 -3.6070388254186205e+03 -6.0462314721977027e+03 -8.6300465984684870e+03 -1.1119259004863108e+04 -1.3297313741695520e+04 -1.5025971634787449e+04 -1.6267755303480038e+04 -1.7068837303626442e+04 -1.7526515698026822e+04 -1.7750800883715936e+04 -1.7837372956057920e+04 -1.7854110961119306e+04 -1.7846170149431746e+04 -1.7830754664232620e+04 -1.7811812976047346e+04 -1.7790711771435228e+04 -1.7768536301619162e+04 -1.7745114865315689e+04 -1.7720370737113306e+04 -1.7693501121919693e+04 -1.7664739615429695e+04 -1.7633558570459576e+04 -1.7599542979217684e+04 -1.7562189336179195e+04 -1.7520931804152566e+04 -1.7475146333838777e+04 -1.7423989569974634e+04 -1.7366855609114606e+04 -1.7302791395855904e+04 -1.7230868181780323e+04 -1.7150083556857160e+04 -1.7059404500916222e+04 -1.6957796156163124e+04 -1.6844296242687989e+04 -1.6718158592977277e+04 -1.6578442078038788e+04 -1.6425086571783635e+04 -1.6258448369525890e+04 -1.6079833428392620e+04 -1.5891465733316300e+04 -1.5697580227817640e+04 -1.5504646082472944e+04 -1.5322156587146794e+04 -1.5164240776672030e+04 -1.5050723915867247e+04 -1.5010079195005812e+04 -1.5083121397327181e+04 -1.5329799780260262e+04 -1.5840925251789089e+04 -1.6760368089627849e+04 -1.8329011804013433e+04 6.1504458161482835e+03 +4.8060452843582471e-03 1.0700562723452585e+05 3.0301224684833095e+05 6.3856345650384726e+05 1.0719814559713616e+06 1.4901020704959990e+06 1.7243908766493644e+06 1.7026086121747138e+06 1.5515493791681349e+06 1.3973685819411248e+06 1.2647064298879299e+06 1.1387756224788991e+06 1.0178065239211653e+06 9.0490095173242327e+05 8.0109334901888657e+05 7.0610376548253489e+05 6.2032150067199406e+05 5.4387745066213829e+05 4.7608370940472576e+05 4.1607116381654731e+05 3.6302581314512435e+05 3.1622632108915871e+05 2.7532976984983718e+05 2.4258241851092293e+05 2.2240270515312965e+05 2.0422220317385523e+05 1.7898470043072168e+05 1.5313075286585119e+05 1.3023363162218400e+05 1.1048845446686597e+05 9.3556531099405707e+04 7.9090610588222276e+04 6.6777474353184327e+04 5.6337740076522517e+04 4.7522875302654465e+04 4.0112252429644679e+04 3.3910427594388428e+04 2.8744678809622546e+04 2.4462754323452631e+04 2.0930828137357305e+04 1.8031638398681524e+04 1.5505034285534053e+04 1.3481036344491735e+04 1.1865578444137765e+04 1.0578668141197137e+04 9.5528197395257957e+03 8.7316583176831864e+03 8.0686662111913583e+03 7.5260388924940962e+03 7.0736193328412282e+03 6.6878314460401716e+03 6.3506587475015704e+03 6.0487445068890593e+03 5.7724228682825315e+03 5.5144351263360932e+03 5.2691986413834957e+03 5.0320914815634051e+03 4.7984106056837873e+03 4.5625996856002439e+03 4.3170384522693321e+03 4.0505964641907458e+03 3.7457934439263963e+03 3.3749519812830345e+03 2.8938288144378098e+03 2.2355077057377030e+03 1.3085545339634286e+03 1.0647984096908081e+01 -1.7363105035731910e+03 -3.9382205116531313e+03 -6.4936967228153699e+03 -9.2004843174936268e+03 -1.1807938332632162e+04 -1.4089265739463728e+04 -1.5899744434941846e+04 -1.7200192740502327e+04 -1.8039013635456900e+04 -1.8518140591046351e+04 -1.8752811403075684e+04 -1.8843244609023954e+04 -1.8860532113402664e+04 -1.8852037882966702e+04 -1.8835711181405710e+04 -1.8815686694288372e+04 -1.8793391263246234e+04 -1.8769964410340799e+04 -1.8745221056160161e+04 -1.8719085748976275e+04 -1.8690701430326819e+04 -1.8660318617626985e+04 -1.8627379882206365e+04 -1.8591446849581851e+04 -1.8551987645972527e+04 -1.8508404524876139e+04 -1.8460037010682205e+04 -1.8406000447629034e+04 -1.8345646091077691e+04 -1.8277970910421529e+04 -1.8201993777725336e+04 -1.8116655812954836e+04 -1.8020865784151883e+04 -1.7913530491721995e+04 -1.7793632214242629e+04 -1.7660388726172969e+04 -1.7512797489855126e+04 -1.7350798595653901e+04 -1.7174768385890067e+04 -1.6986086448132515e+04 -1.6787102118045837e+04 -1.6582289002123602e+04 -1.6378479760149463e+04 -1.6185708223471715e+04 -1.6018892046074830e+04 -1.5898977149825403e+04 -1.5856040345729074e+04 -1.5933198897520384e+04 -1.6193780228788552e+04 -1.6733712721057524e+04 -1.7704973409415416e+04 -1.9362029464793726e+04 6.2264010446922957e+03 +4.8356660862635074e-03 1.0684800099486917e+05 3.0263923352574400e+05 6.3782483136517415e+05 1.0707890938525610e+06 1.4885286816331795e+06 1.7227194812089177e+06 1.7011593344629875e+06 1.5504479194083170e+06 1.3965981389549337e+06 1.2642316448462945e+06 1.1385700624837740e+06 1.0178408273244209e+06 9.0514250497253798e+05 8.0150914255715883e+05 7.0666141639878682e+05 6.2099086482847552e+05 5.4463195017280173e+05 4.7690021909605118e+05 4.1692963624400890e+05 3.6390897752858669e+05 3.1711947541364218e+05 2.7622180786669295e+05 2.4347751939670075e+05 2.2333714266348083e+05 2.0519874832031189e+05 1.7995556994697600e+05 1.5406710672754611e+05 1.3112439744183276e+05 1.1132754535117766e+05 9.4340076385603112e+04 7.9816438300446753e+04 6.7444837469215461e+04 5.6947081820135347e+04 4.8075616112098141e+04 4.0610596385803983e+04 3.4357187228060648e+04 2.9143117691373383e+04 2.4816446712910001e+04 2.1243535053197316e+04 1.8307199285635666e+04 1.5744942468020388e+04 1.3689585985984029e+04 1.2046856691628425e+04 1.0736485805528544e+04 9.6906584635059862e+03 8.8526333637039024e+03 8.1755042921221739e+03 7.6210706204022936e+03 7.1587857108231929e+03 6.7647025724177347e+03 6.4204623867010841e+03 6.1124021305927063e+03 5.8305869823350249e+03 5.5675177767121577e+03 5.3173922020890095e+03 5.0753744523619471e+03 4.8365284842252713e+03 4.5950145114997704e+03 4.3428288490673185e+03 4.0682829533745557e+03 3.7530349256088884e+03 3.3680439200131714e+03 2.8669099345855911e+03 2.1794771166887253e+03 1.2099574760339829e+03 -1.4874267082609592e+02 -1.9782197477563398e+03 -4.2843601889648908e+03 -6.9607046246322216e+03 -9.7952815185058844e+03 -1.2525584879101922e+04 -1.4914193993525652e+04 -1.6809661007498413e+04 -1.8171040401197653e+04 -1.9049055506636123e+04 -1.9550456136606128e+04 -1.9795910145105947e+04 -1.9890350026729073e+04 -1.9908204633125239e+04 -1.9899132981217223e+04 -1.9881857187979273e+04 -1.9860705333168546e+04 -1.9837166668559646e+04 -1.9812437125023345e+04 -1.9786317656297528e+04 -1.9758734177715174e+04 -1.9728773071001648e+04 -1.9696702498832914e+04 -1.9661934029233795e+04 -1.9624004964055508e+04 -1.9582353898744674e+04 -1.9536349869194513e+04 -1.9485294470560264e+04 -1.9428260103284360e+04 -1.9364553356781977e+04 -1.9293119206884596e+04 -1.9212921998332833e+04 -1.9122844067241935e+04 -1.9021733584281388e+04 -1.8908436616323699e+04 -1.8781877718585307e+04 -1.8641237177213454e+04 -1.8485448462673176e+04 -1.8314451919562132e+04 -1.8128644757854727e+04 -1.7929483214079235e+04 -1.7719447112520822e+04 -1.7503258503985900e+04 -1.7288128426704166e+04 -1.7084653451908947e+04 -1.6908572114137380e+04 -1.6781996950211927e+04 -1.6736674108434861e+04 -1.6818117720479517e+04 -1.7093171829189203e+04 -1.7663092029988373e+04 -1.8688294364584617e+04 -2.0437386473361745e+04 6.3032937132540610e+03 +4.8654694482266943e-03 1.0668999378456982e+05 3.0226602980424359e+05 6.3708629523976077e+05 1.0695968871871030e+06 1.4869546554776086e+06 1.7210452497957046e+06 1.6997042285044140e+06 1.5493378216136354e+06 1.3958165976412948e+06 1.2637435734989776e+06 1.1383493837983243e+06 1.0178586007038306e+06 9.0536652974381135e+05 8.0190680105274497e+05 7.0720069825473567e+05 6.2164194695155544e+05 5.4536851236508973e+05 4.7769934487989749e+05 4.1777144737562042e+05 3.6477633676925255e+05 3.1799778172098211e+05 2.7710001024613634e+05 2.4435966878469783e+05 2.2425905904504974e+05 2.0616326153364344e+05 1.8091549517752643e+05 1.5499386407452650e+05 1.3200693197087004e+05 1.1215972444195334e+05 9.5117957473545001e+04 8.0537759522795168e+04 6.8108749045771576e+04 5.7553915781461372e+04 4.8626677214177616e+04 4.1107972001613423e+04 3.4803575147927149e+04 2.9541671238915835e+04 2.5170636470401161e+04 2.1557026575497282e+04 1.8583746000702624e+04 1.5985968595274508e+04 1.3899311664693716e+04 1.2229308610540513e+04 1.0895427607457692e+04 9.8295372014769455e+03 8.9745411491835403e+03 8.2831545790493747e+03 7.7167887519858359e+03 7.2445132610157370e+03 6.8420138061001353e+03 6.4905906688517161e+03 6.1762740670884305e+03 5.8888581586343480e+03 5.6205998902968777e+03 5.3654726511450144e+03 5.1184208016865296e+03 4.8742675261820004e+03 4.6268790227794416e+03 4.3678530981643344e+03 4.0849205168202980e+03 3.7588426189525635e+03 3.3591594656234442e+03 2.8372270656624569e+03 2.1195208542453197e+03 1.1057296017771516e+03 -3.1619211750511448e+02 -2.2314611134005650e+03 -4.6459331886610371e+03 -7.4478646681899345e+03 -1.0415186725496533e+04 -1.3273078758456517e+04 -1.5773092221085450e+04 -1.7756804338630147e+04 -1.9181444907058729e+04 -2.0100150281830422e+04 -2.0624672729163696e+04 -2.0881318540375541e+04 -2.0979914611670254e+04 -2.0998354309279752e+04 -2.0988680483441043e+04 -2.0970416583215952e+04 -2.0948091462472548e+04 -2.0923259099338004e+04 -2.0897174032663224e+04 -2.0869622642139770e+04 -2.0840532306439876e+04 -2.0808930482282372e+04 -2.0775103722786673e+04 -2.0738431334590547e+04 -2.0698425310392337e+04 -2.0654493517949948e+04 -2.0605970428235902e+04 -2.0552118159548430e+04 -2.0491964476879031e+04 -2.0424769424067093e+04 -2.0349423905440970e+04 -2.0264835526557814e+04 -2.0169825457306149e+04 -2.0063178814418854e+04 -1.9943678468437283e+04 -1.9810188901461232e+04 -1.9661851438948423e+04 -1.9497532899054127e+04 -1.9317173919621513e+04 -1.9121193423331672e+04 -1.8911127404017796e+04 -1.8689591464973266e+04 -1.8461566173399868e+04 -1.8234656277521106e+04 -1.8020043946715385e+04 -1.7834321815759340e+04 -1.7700816360052842e+04 -1.7653010734337971e+04 -1.7738913130405967e+04 -1.8029026777378043e+04 -1.8630150457104850e+04 -1.9711481339227543e+04 -2.1556340888067101e+04 6.3811353810689006e+03 +4.8954564954089320e-03 1.0653159979433060e+05 3.0189262552642665e+05 6.3634784858668025e+05 1.0684048469833245e+06 1.4853800393424884e+06 1.7193682575274741e+06 1.6982433985334521e+06 1.5482192033819724e+06 1.3950241116783849e+06 1.2632423912179407e+06 1.1381137790315696e+06 1.0178600449921642e+06 9.0557322957734636e+05 8.0228652431045927e+05 7.0772180178651237e+05 6.2227492448942375e+05 5.4608729822942358e+05 4.7848122903255938e+05 4.1859671927085891e+05 3.6562799179891788e+05 3.1886131951557897e+05 2.7796443530026037e+05 2.4522890465907287e+05 2.2516847225714638e+05 2.0711573814753402e+05 1.8186444724041712e+05 1.5591097347066534e+05 1.3288116415899154e+05 1.1298490438097388e+05 9.5890074150401357e+04 8.1254464656135780e+04 6.8769093467664323e+04 5.8158123504980234e+04 4.9175940215346003e+04 4.1604263511973513e+04 3.5249480401898953e+04 2.9940235085942946e+04 2.5525227161510997e+04 2.1871215120472709e+04 1.8861200314429527e+04 1.6228044604864508e+04 1.4110155178203986e+04 1.2412885175697962e+04 1.1055452716527650e+04 9.9694221226737573e+03 9.0973535300361618e+03 8.3915932780702569e+03 7.8131725688104179e+03 7.3307831925512455e+03 6.9197472995666585e+03 6.5610258744071270e+03 6.2403420553418264e+03 5.9472170271741415e+03 5.6736604646542373e+03 5.4134168101205032e+03 5.1612045393580966e+03 4.9115981175331126e+03 4.6581588821753367e+03 4.3920705913091433e+03 4.1004600285908091e+03 3.7631555314101215e+03 3.3482206680713521e+03 2.8046775243641432e+03 2.0554998735807162e+03 9.9567905424731975e+02 -4.9196622713124827e+02 -2.4963984195963885e+03 -5.0234237806841766e+03 -7.9557973944590394e+03 -1.1060961601440669e+04 -1.4051315127242413e+04 -1.6666970778529383e+04 -1.8742275283056846e+04 -2.0232571612071981e+04 -2.1193504605355018e+04 -2.1742020348685961e+04 -2.2010277748506101e+04 -2.2113183544047817e+04 -2.2132226708815269e+04 -2.2121925193081330e+04 -2.2102633011487331e+04 -2.2079087375389605e+04 -2.2052909367434906e+04 -2.2025414395446976e+04 -2.1996373639343616e+04 -2.1965716040182127e+04 -2.1932407694618028e+04 -2.1896754313514517e+04 -2.1858101647018655e+04 -2.1815935364423531e+04 -2.1769631373687149e+04 -2.1718488194141093e+04 -2.1661726874067823e+04 -2.1598328802025018e+04 -2.1527505541250775e+04 -2.1448091785721394e+04 -2.1358936125256623e+04 -2.1258796111128027e+04 -2.1146391277638042e+04 -2.1020438763965227e+04 -2.0879740560369086e+04 -2.0723397516369303e+04 -2.0550207058866694e+04 -2.0360110159511296e+04 -2.0153548323356143e+04 -1.9932140500986538e+04 -1.9698643520357589e+04 -1.9458306832349703e+04 -1.9219144676272757e+04 -1.8992948348485232e+04 -1.8797198777267251e+04 -1.8656485088070083e+04 -1.8606097095308243e+04 -1.8696637093056517e+04 -1.9002414244009469e+04 -1.9635992821577194e+04 -2.0775703276203581e+04 -2.2720171063106623e+04 6.4599377497057458e+03 +4.9256283599059788e-03 1.0637281315869458e+05 3.0151902134339826e+05 6.3560947823922837e+05 1.0672130019653465e+06 1.4838048134996684e+06 1.7176885375136521e+06 1.6967769313158677e+06 1.5470921913700833e+06 1.3942208360888637e+06 1.2627282729632715e+06 1.1378634382003334e+06 1.0178453591747840e+06 9.0576280625683570e+05 8.0264851060009340e+05 7.0822491659317981e+05 6.2288997418614046e+05 5.4678846849086345e+05 4.7924601401184488e+05 4.1940557458516426e+05 3.6646404456764943e+05 3.1971016969954089e+05 2.7881514308102650e+05 2.4608526707811197e+05 2.2606540276019063e+05 2.0805617644633827e+05 1.8280240049675017e+05 1.5681838686187626e+05 1.3374702635991975e+05 1.1380300113140217e+05 9.6656329348203260e+04 8.1966446988332056e+04 6.9425757681547882e+04 5.8759588721930486e+04 4.9723288500394956e+04 4.2099356505115742e+04 3.5694792966524212e+04 3.0338705385677811e+04 2.5880122491679133e+04 2.2186012905500436e+04 1.9139483509762173e+04 1.6471101699201950e+04 1.4322057409499872e+04 1.2597536335074654e+04 1.1216519224978014e+04 1.0110278321090716e+04 9.2210413290375964e+03 8.5007956303900173e+03 7.9102004678704689e+03 7.4175759102088823e+03 6.9978844717530510e+03 6.6317496057111848e+03 6.3045871934624820e+03 6.0056435953180344e+03 5.7266778741192084e+03 5.4612008580914890e+03 5.2036989940571293e+03 4.9484899026572066e+03 4.6888189237105535e+03 4.4154397693799938e+03 4.1148512408998804e+03 3.7659113068568568e+03 3.3351478672534986e+03 2.7691564162507079e+03 1.9872721982667351e+03 8.7961003599848380e+02 -6.7633615783922892e+02 -2.7734024558122105e+03 -5.4173251568706055e+03 -8.4851343540543621e+03 -1.1733380877873742e+04 -1.4861204082502014e+04 -1.7596856530307385e+04 -1.9767192408689112e+04 -2.1325604429622592e+04 -2.2330344216411049e+04 -2.2903748369209588e+04 -2.3184048463592346e+04 -2.3291421585523152e+04 -2.3311086979977554e+04 -2.3300131481230346e+04 -2.3279769665943320e+04 -2.3254954892470258e+04 -2.3227377788578542e+04 -2.3198416955163251e+04 -2.3167827727390490e+04 -2.3135540710732534e+04 -2.3100458135845474e+04 -2.3062905660857807e+04 -2.3022194146947473e+04 -2.2977781896302731e+04 -2.2929011589484413e+04 -2.2875144367126191e+04 -2.2815358568387906e+04 -2.2748587414220812e+04 -2.2673991995842040e+04 -2.2590348596404558e+04 -2.2496444447360456e+04 -2.2390970958236659e+04 -2.2272579479151489e+04 -2.2139918809520623e+04 -2.1991725959043833e+04 -2.1827059742500238e+04 -2.1644645376968045e+04 -2.1444424209684901e+04 -2.1226861222992080e+04 -2.0993661616251684e+04 -2.0747729045333221e+04 -2.0494592511969469e+04 -2.0242691984317884e+04 -2.0004452095444656e+04 -1.9798277249515097e+04 -1.9650069343045045e+04 -1.9596996518699925e+04 -1.9692358109742905e+04 -2.0014420205697523e+04 -2.0681741308941364e+04 -2.1882147492581560e+04 -2.3930175446730915e+04 6.5397126648182038e+03 +4.9559861807909706e-03 1.0621362868152994e+05 3.0114520911143627e+05 6.3487118373290799e+05 1.0660212988297173e+06 1.4822290326413531e+06 1.7160061530989271e+06 1.6953049097223228e+06 1.5459569154936110e+06 1.3934069226773363e+06 1.2622013924679020e+06 1.1375985493663023e+06 1.0178147405581449e+06 9.0593545979125006e+05 8.0299295666110958e+05 7.0871023112337734e+05 6.2348727203715476e+05 5.4747218356009049e+05 4.7999384240979940e+05 4.2019813651399384e+05 3.6728459797844267e+05 3.2054441450330405e+05 2.7965219530833815e+05 2.4692879810291066e+05 2.2694987344022494e+05 2.0898457758868730e+05 1.8372933247842948e+05 1.5771605951302088e+05 1.3460445427981688e+05 1.1461393393946606e+05 9.7416629120429876e+04 8.2673602685536200e+04 7.0078631203305922e+04 5.9358197371456052e+04 5.0268607265774735e+04 4.2593137966736453e+04 3.6139403799140993e+04 3.0736978868705031e+04 2.6235226366789833e+04 2.2501332009744234e+04 1.9418516440342159e+04 1.6715070398690390e+04 1.4534958373108495e+04 1.2783211047691007e+04 1.1378584176959619e+04 1.0252069836218179e+04 9.3455743491192261e+03 8.6107359194003948e+03 8.0078499640961736e+03 7.5048710138174201e+03 7.0764060056313610e+03 6.7027427837525474e+03 6.3689899351721178e+03 6.0641172442915949e+03 5.7796298664667747e+03 5.5088003284694269e+03 5.2458768101917831e+03 4.9849117811326332e+03 4.7188231492615023e+03 4.4379181184937215e+03 4.1280427795471278e+03 3.7670462200211578e+03 3.3198596860741654e+03 2.7305566272770529e+03 1.9146929104706146e+03 7.5732279941305217e+02 -8.6957836066622883e+02 -3.0628509780335298e+03 -5.8281394093630715e+03 -9.0365180598561583e+03 -1.2433232276121342e+04 -1.5703670549880700e+04 -1.8563792706249547e+04 -2.0832691828754738e+04 -2.2461745645869261e+04 -2.3511913750360600e+04 -2.4111125352921023e+04 -2.4403910704651811e+04 -2.4515912868464093e+04 -2.4536219641200660e+04 -2.4524583075576753e+04 -2.4503109077667435e+04 -2.4476975150834292e+04 -2.4447943972047724e+04 -2.4417459722985372e+04 -2.4385261229716445e+04 -2.4351280867129375e+04 -2.4314354421793978e+04 -2.4274828311473935e+04 -2.4231977137734524e+04 -2.4185230762338979e+04 -2.4133897334431294e+04 -2.4077199148305604e+04 -2.4014270147923136e+04 -2.3943993544742636e+04 -2.3865477909176003e+04 -2.3777438850403076e+04 -2.3678599832121414e+04 -2.3567583526839448e+04 -2.3442970424512983e+04 -2.3303338301868516e+04 -2.3147356628272973e+04 -2.2974040580661549e+04 -2.2782040266899163e+04 -2.2571297453042422e+04 -2.2342301519043336e+04 -2.2096847299131725e+04 -2.1837991040266505e+04 -2.1571552266867850e+04 -2.1306413377086315e+04 -2.1055657242129844e+04 -2.0838647928406936e+04 -2.0682651655774680e+04 -2.0626788609733012e+04 -2.0727161038819297e+04 -2.1066147263671697e+04 -2.1768535283615249e+04 -2.3032019481467363e+04 -2.5187672364315997e+04 6.6204721179124963e+03 +4.9865311041574220e-03 1.0605403967990773e+05 3.0077118463501910e+05 6.3413295476564893e+05 1.0648297884032023e+06 1.4806526832024110e+06 1.7143211615972060e+06 1.6938274312125363e+06 1.5448134939317554e+06 1.3925825203523864e+06 1.2616619203710088e+06 1.1373192986812899e+06 1.0177683849529487e+06 9.0609138843083987e+05 8.0332005773430294e+05 7.0917793264825782e+05 6.2406699325627275e+05 5.4813860348759568e+05 4.8072485689971241e+05 4.2097452873540542e+05 3.6808975582432136e+05 3.2136413741779292e+05 2.8047565530235972e+05 2.4775954172528296e+05 2.2782190953537077e+05 2.0990094553184221e+05 1.8464522381726431e+05 1.5860394994462791e+05 1.3545338692524526e+05 1.1541762529627595e+05 9.8170882617134033e+04 8.3375830782824181e+04 7.0727606121965291e+04 5.9953837618881473e+04 5.0811783550739543e+04 4.3085496321334336e+04 3.6583204887927081e+04 3.1134952898609979e+04 2.6590442952087327e+04 2.2817084433670520e+04 1.9698219587919462e+04 1.6959880594680981e+04 1.4748797261536743e+04 1.2969857322176316e+04 1.1541603598594362e+04 1.0394759674835908e+04 9.4709213876092854e+03 8.7213874787903533e+03 8.1060976937236992e+03 7.5926472984371903e+03 7.1552918464299782e+03 6.7739856454082746e+03 6.4335300866712296e+03 6.1226167260886423e+03 5.8324935599132350e+03 5.5561901061318295e+03 5.2877099450934775e+03 5.0208319048330441e+03 4.7481347254128032e+03 4.4594621664671258e+03 4.1399821397193709e+03 3.7664951714098088e+03 3.3022730241674958e+03 2.6887688161166084e+03 1.8376141422769708e+03 6.2861363867636555e+02 -1.0719745831112132e+03 -3.3651287014477925e+03 -6.2563775040767405e+03 -9.6106019331118005e+03 -1.3161316420255227e+04 -1.6579654161754315e+04 -1.9568838747502981e+04 -2.1939927021085336e+04 -2.3642215719701617e+04 -2.4739476525819595e+04 -2.5365438829998839e+04 -2.5671163591875669e+04 -2.5787960670609045e+04 -2.5808928355475517e+04 -2.5796582834758086e+04 -2.5773952890107408e+04 -2.5746448379021356e+04 -2.5715906595695586e+04 -2.5683839754768684e+04 -2.5649969489294403e+04 -2.5614230051463175e+04 -2.5575388132568787e+04 -2.5533811745499013e+04 -2.5488737822870506e+04 -2.5439566682354820e+04 -2.5385570601152813e+04 -2.5325931518084206e+04 -2.5259737248346250e+04 -2.5185819100316116e+04 -2.5103231016745085e+04 -2.5010625606186488e+04 -2.4906660087240478e+04 -2.4789885726975292e+04 -2.4658809403875246e+04 -2.4511935113517895e+04 -2.4347862152881182e+04 -2.4165560413114199e+04 -2.3963601911434442e+04 -2.3741928877251146e+04 -2.3501056034451860e+04 -2.3242871333625975e+04 -2.2970589538362103e+04 -2.2690331976650068e+04 -2.2411440648292730e+04 -2.2147682265771211e+04 -2.1919417763274556e+04 -2.1755330688703172e+04 -2.1696569061744252e+04 -2.1802146905058391e+04 -2.2158714449924952e+04 -2.2897531088588916e+04 -2.4226542699903348e+04 -2.6493999786733948e+04 6.7022282481412894e+03 +5.0172642831624948e-03 1.0589403944054565e+05 3.0039694094049901e+05 6.3339480172865081e+05 1.0636384361747738e+06 1.4790758153231984e+06 1.7126335842717253e+06 1.6923445802715444e+06 1.5436620513608528e+06 1.3917477744486930e+06 1.2611100248332743e+06 1.1370258702924526e+06 1.0177064865107780e+06 9.0623078859269014e+05 8.0363000755776698e+05 7.0962820722656592e+05 6.2462931224263110e+05 5.4878788791930524e+05 4.8143920018038165e+05 4.2173487536047056e+05 3.6887962272857397e+05 3.2216942312998482e+05 2.8128558791282820e+05 2.4857754379819561e+05 2.2868153856141784e+05 2.1080528695563995e+05 1.8555005817193445e+05 1.5948201986930185e+05 1.3629376654975864e+05 1.1621400089591873e+05 9.8919002058395708e+04 8.4073033171323201e+04 7.1372577102388546e+04 6.0546399871657872e+04 5.1352706265498047e+04 4.3576321471595147e+04 3.7026089299494830e+04 3.1532525525996247e+04 2.6945676729634441e+04 2.3133182157344472e+04 1.9978513119288251e+04 1.7205461602219704e+04 1.4963512491858883e+04 1.3157422255802629e+04 1.1705532528841091e+04 1.0538309833728134e+04 9.5970502515957669e+03 8.8327227015853205e+03 8.2049194185821107e+03 7.6808827552427629e+03 7.2345212004943714e+03 6.8454577411697564e+03 6.4981868039888013e+03 6.1811201606993754e+03 5.8852454404504488e+03 5.6033444248766882e+03 5.3291696665079508e+03 5.0562176753868553e+03 4.7767159807155422e+03 4.4800274796783424e+03 4.1506156823070341e+03 3.7641916827560167e+03 3.2823030522636163e+03 2.6436814073477158e+03 1.7558850681617985e+03 4.9327488338073971e+02 -1.2838118703127325e+03 -3.6806272896667006e+03 -6.7025592493772547e+03 -1.0208050243133439e+04 -1.3918446741838050e+04 -1.7490109125462321e+04 -2.0613070141130280e+04 -2.3090068635169911e+04 -2.4868253069451504e+04 -2.6014314318165409e+04 -2.6667995064410523e+04 -2.6987125108568238e+04 -2.7108887175470059e+04 -2.7130535690386852e+04 -2.7117452508575279e+04 -2.7093621619496524e+04 -2.7064693657576969e+04 -2.7032583166764187e+04 -2.6998872912346058e+04 -2.6963266630238031e+04 -2.6925700560820584e+04 -2.6884869574874108e+04 -2.6841164139168242e+04 -2.6793782068840057e+04 -2.6742093003239621e+04 -2.6685331969768184e+04 -2.6622639000706455e+04 -2.6553054000561020e+04 -2.6475354428886800e+04 -2.6388537434825877e+04 -2.6291190235214457e+04 -2.6181901257226105e+04 -2.6059147620019437e+04 -2.5921359762798591e+04 -2.5766965064750722e+04 -2.5594489945260499e+04 -2.5402857316270762e+04 -2.5190558039575302e+04 -2.4957534853969064e+04 -2.4704328799808125e+04 -2.4432924522294328e+04 -2.4146701391991635e+04 -2.3852094134858286e+04 -2.3558922001341274e+04 -2.3281661860253313e+04 -2.3041709752935207e+04 -2.2869221033708327e+04 -2.2807449454391215e+04 -2.2918432696862434e+04 -2.3293257021145626e+04 -2.4069901832611256e+04 -2.5466958343767656e+04 -2.7850515083984279e+04 6.7849933441166395e+03 +5.0481868780705326e-03 1.0573362374535788e+05 3.0002247079272120e+05 6.3265670503204188e+05 1.0624472707323055e+06 1.4774984388197688e+06 1.7109434929882351e+06 1.6908564366344484e+06 1.5425027039532871e+06 1.3909028310505247e+06 1.2605458711517188e+06 1.1367184466121427e+06 1.0176292370167731e+06 9.0635385473760276e+05 8.0392299832762242e+05 7.1006123968699190e+05 6.2517440254170459e+05 5.4942019605265767e+05 4.8213701491628564e+05 4.2247930088113283e+05 3.6965430408244452e+05 3.2296035745756718e+05 2.8208205945386877e+05 2.4938285196562615e+05 2.2952879024020178e+05 2.1169761118757640e+05 1.8644382215699297e+05 1.6035023412770167e+05 1.3712553860026694e+05 1.1700298959508631e+05 9.9660902705699133e+04 8.4765114584296549e+04 7.2013441384837191e+04 6.1135776792846817e+04 5.1891266217370263e+04 4.4065504834893494e+04 3.7467951224414086e+04 3.1929595540271930e+04 2.7300832554019660e+04 2.3449537197639085e+04 2.0259316942225694e+04 1.7451742212433481e+04 1.5179041752385063e+04 1.3345852074040567e+04 1.1870325051077789e+04 1.0682681323304289e+04 9.7239277741037877e+03 8.9447130501220581e+03 8.3042900311359099e+03 7.7695545731847160e+03 7.3140725347162297e+03 6.9171379334135518e+03 6.5629385906639482e+03 6.2396050337018705e+03 5.9378613595201014e+03 5.6502368651811666e+03 5.3702265503949029e+03 5.0910357419075735e+03 4.8045284032510435e+03 4.4995686603219847e+03 4.1598886305867618e+03 3.7600678929882101e+03 3.2598632071856578e+03 2.5951805854597837e+03 1.6693518986048357e+03 3.5109489375145114e+02 -1.5053825638651008e+03 -4.0097453405399269e+03 -7.1672132600081140e+03 -1.0829538040532589e+04 -1.4705449376687600e+04 -1.8436004081978081e+04 -2.1697578243595024e+04 -2.4284304286830724e+04 -2.6141113846505610e+04 -2.7337727119373616e+04 -2.8020118805856902e+04 -2.8353131849105324e+04 -2.8480033218893361e+04 -2.8502382864100182e+04 -2.8488532483984018e+04 -2.8463454401128372e+04 -2.8433048665610411e+04 -2.8399309768849464e+04 -2.8363893610571002e+04 -2.8326485305128390e+04 -2.8287023195110112e+04 -2.8244127530105994e+04 -2.8198212113349848e+04 -2.8148434154285736e+04 -2.8094131448519121e+04 -2.8034500357992743e+04 -2.7968637414894791e+04 -2.7895532782228511e+04 -2.7813908071765825e+04 -2.7722701413434050e+04 -2.7620432175707352e+04 -2.7505617378279356e+04 -2.7376657174627759e+04 -2.7231902659387200e+04 -2.7069701682345938e+04 -2.6888505005804513e+04 -2.6687186822915366e+04 -2.6464153690817613e+04 -2.6219348905183699e+04 -2.5953340821963149e+04 -2.5668214457540591e+04 -2.5367520046647274e+04 -2.5058017625710410e+04 -2.4750021828826732e+04 -2.4458746718139897e+04 -2.4206662730047236e+04 -2.4025452997863566e+04 -2.3960557040088581e+04 -2.4077151151646824e+04 -2.4470926240719451e+04 -2.5286837164700577e+04 -2.6754525109205566e+04 -2.9258594764277936e+04 6.8687798457467488e+03 +5.0793000562968649e-03 1.0557278405007918e+05 2.9964776908928197e+05 6.3191867337175028e+05 1.0612562688989001e+06 1.4759205318475456e+06 1.7092509331665419e+06 1.6893631002680245e+06 1.5413355627314423e+06 1.3900478312304588e+06 1.2599696235486711e+06 1.1363972082667244e+06 1.0175368254706854e+06 9.0646077933827869e+05 8.0419922066400514e+05 7.1047721361714485e+05 6.2570243680391461e+05 5.5003568659320392e+05 4.8281844368039659e+05 4.2320793012001453e+05 3.7041390598830802e+05 3.2373702728724340e+05 2.8286513763675781e+05 2.5017551559532681e+05 2.3036369642692219e+05 2.1257793012900878e+05 1.8732650527156942e+05 1.6120856062380059e+05 1.3794865166231591e+05 1.1778452336915447e+05 1.0039650283238849e+05 8.5451982581055214e+04 7.2650098782898640e+04 6.1721863312151254e+04 5.2427356133961119e+04 4.4552939377712959e+04 3.7908686020415669e+04 3.2326062519427069e+04 2.7655815706460562e+04 2.3766061663943936e+04 2.0540550760569451e+04 1.7698650744428876e+04 1.5395322049374750e+04 1.3535092170412960e+04 1.2035934325384027e+04 1.0827834192018823e+04 9.8515198312795274e+03 9.0573290669607941e+03 8.4041835604829284e+03 7.8586391413767551e+03 7.3939235766223137e+03 6.9890043951594107e+03 6.6277632959540488e+03 6.2980481942864999e+03 5.9903165320183880e+03 5.6968403522656345e+03 5.4108504790648949e+03 5.1252519990813744e+03 4.8315326385547351e+03 4.5180393440002581e+03 4.1677450673837020e+03 3.7540545547034321e+03 3.2348651874855323e+03 2.5431502896720203e+03 1.5778578748113775e+03 2.0185805748151691e+02 -1.7369842982823964e+03 -4.3528883685794108e+03 -7.6508769162134704e+03 -1.1475751084247380e+04 -1.5523163053596272e+04 -1.9418321954931216e+04 -2.2823470093356154e+04 -2.5523838341008908e+04 -2.7462071696146373e+04 -2.8711032884615423e+04 -2.9423153028015975e+04 -2.9770538753203429e+04 -2.9902758021397440e+04 -2.9925829477667543e+04 -2.9911181517525383e+04 -2.9884808721955298e+04 -2.9852869413626660e+04 -2.9817440794909340e+04 -2.9780254550851638e+04 -2.9740976428985690e+04 -2.9699546991143881e+04 -2.9654508988977595e+04 -2.9606300468677829e+04 -2.9554036505433894e+04 -2.9497021854283412e+04 -2.9434412757717982e+04 -2.9365260611088728e+04 -2.9288503955535740e+04 -2.9202806502198389e+04 -2.9107045075625578e+04 -2.8999668673068070e+04 -2.8879120219723129e+04 -2.8743720009533055e+04 -2.8591736808500464e+04 -2.8421435945225036e+04 -2.8231189670216354e+04 -2.8019821671348862e+04 -2.7785650966377052e+04 -2.7528621456752218e+04 -2.7249329840222606e+04 -2.6949965280259545e+04 -2.6634255302506575e+04 -2.6309297488647877e+04 -2.5985920479867389e+04 -2.5680103300827974e+04 -2.5415431133513343e+04 -2.5225172377787152e+04 -2.5157034518908189e+04 -2.5279450529650388e+04 -2.5692889148600378e+04 -2.6549543036580613e+04 -2.8090518941247254e+04 -3.0719634199201621e+04 6.9536003460944285e+03 +5.1106049924518806e-03 1.0541151691105256e+05 2.9927283278853074e+05 6.3118068525546463e+05 1.0600654449725079e+06 1.4743421541442531e+06 1.7075559509389983e+06 1.6878646438996040e+06 1.5401607516704209e+06 1.3891829159760999e+06 1.2593814453222549e+06 1.1360623335328244e+06 1.0174294385035489e+06 9.0655175298620795e+05 8.0445886360843887e+05 7.1087631134260318e+05 6.2621358674408740e+05 5.5063451771235338e+05 4.8348362890438270e+05 4.2392088817690936e+05 3.7115853519931051e+05 3.2449952051311970e+05 2.8363489150668861e+05 2.5095558571121594e+05 2.3118629103992146e+05 2.1344625818053135e+05 1.8819809982766124e+05 1.6205697026105973e+05 1.3876305740496118e+05 1.1855853726869459e+05 1.0112572369206526e+05 8.6133547528815368e+04 7.3282451679070582e+04 6.2304556635060653e+04 5.2960870684634909e+04 4.5038519647620531e+04 3.8348190253293906e+04 3.2721826878064901e+04 2.8010531947131480e+04 2.4082667812650583e+04 2.0822134128584858e+04 1.7946115096933703e+04 1.5612289753698064e+04 1.3725087146781761e+04 1.2202312621361591e+04 1.0973727551680286e+04 9.9797913604651985e+03 9.1705403866281667e+03 8.5045731790809386e+03 7.9481120521512048e+03 7.4740513150519646e+03 7.0610346093769531e+03 6.6926381134129715e+03 6.3564258535826748e+03 6.0425855346326571e+03 5.7431271545245536e+03 5.4510106395956782e+03 5.1588315855571564e+03 4.8576884878487535e+03 4.5353921977189202e+03 4.1741279326274571e+03 3.7460810311253827e+03 3.2072189496918622e+03 2.4874722095701759e+03 1.4812432645611912e+03 4.5344788153329276e+01 -1.9789199951549215e+03 -4.7104687840377346e+03 -8.1540963182575906e+03 -1.2147385762299115e+04 -1.6372438975272944e+04 -2.0438059790255189e+04 -2.3991868212727557e+04 -2.6809891682582103e+04 -2.8832417505925336e+04 -3.0135567265690570e+04 -3.0878458653582020e+04 -3.1240718826610770e+04 -3.1378438907517972e+04 -3.1402253233694173e+04 -3.1386776454034381e+04 -3.1359060139533402e+04 -3.1325529962797311e+04 -3.1288348667073507e+04 -3.1249326441161211e+04 -3.1208108899604726e+04 -3.1164638943606587e+04 -3.1117378872743782e+04 -3.1066791907186340e+04 -3.1011949418379783e+04 -3.0952121891964740e+04 -3.0886423958244053e+04 -3.0813860195345740e+04 -3.0733315591798404e+04 -3.0643393850862161e+04 -3.0542908144052373e+04 -3.0430234507341956e+04 -3.0303739012624472e+04 -3.0161659123228019e+04 -3.0002178212864521e+04 -2.9823476017240268e+04 -2.9623843344035380e+04 -2.9402051541972014e+04 -2.9156328767992931e+04 -2.8886619579645165e+04 -2.8593550070052879e+04 -2.8279417426609263e+04 -2.7948133064102603e+04 -2.7607144670784142e+04 -2.7267814015915243e+04 -2.6946913597099774e+04 -2.6669184769619285e+04 -2.6469540222337713e+04 -2.6398039802000985e+04 -2.6526494376191273e+04 -2.6960328319867524e+04 -2.7859241452986258e+04 -2.9476232769681974e+04 -3.2235047334845724e+04 7.0394675932587570e+03 +5.1421028683853714e-03 1.0524981208237370e+05 2.9889765034842025e+05 6.3044274928810273e+05 1.0588747967887465e+06 1.4727633130243931e+06 1.7058585779526010e+06 1.6863611495497837e+06 1.5389783801973567e+06 1.3883082237152695e+06 1.2587814963653688e+06 1.1357139970531086e+06 1.0173072609626533e+06 9.0662696451691596e+05 8.0470211459113832e+05 7.1125871388436062e+05 6.2670802312283241e+05 5.5121684700435330e+05 4.8413271283392236e+05 4.2461830037734832e+05 3.7188829906270176e+05 3.2524792597618781e+05 2.8439139137812553e+05 2.5172311492757441e+05 2.3199660998951242e+05 2.1430261216948272e+05 1.8905860087994099e+05 1.6289543687727238e+05 1.3956871052531395e+05 1.1932496937452343e+05 1.0184848948600118e+05 8.6809722583041294e+04 7.3910405018299498e+04 6.2883756249096019e+04 5.3491706499061562e+04 4.5522141802819126e+04 3.8786361735798680e+04 3.3116789913064975e+04 2.8364887565906989e+04 2.4399268100306494e+04 2.1103986504040440e+04 1.8194062799114476e+04 1.5829880647406229e+04 1.3915780853790577e+04 1.2369411351586841e+04 1.1120319603443744e+04 1.0108706379079564e+04 9.2843157483164541e+03 8.6054312103331667e+03 8.0379481049355845e+03 7.5544320014627729e+03 7.1332053687573662e+03 6.7575395799358721e+03 6.4147135834019737e+03 6.0946423045050769e+03 5.7890688821912818e+03 5.4906755225623074e+03 5.1917388826555234e+03 4.8829549066674826e+03 4.5515789182577428e+03 4.1789790213434735e+03 3.7360752936051749e+03 3.1768327051757856e+03 2.4280257815461659e+03 1.3793453591462237e+03 -1.1866847476426807e+02 -2.2314978550155652e+03 -5.0829058686965373e+03 -8.6774262363671878e+03 -1.2845149006521695e+04 -1.7254140691601438e+04 -2.1496228586695059e+04 -2.5203910399166260e+04 -2.8143701475869388e+04 -3.0253459141533011e+04 -3.1612683331867425e+04 -3.2387414266298874e+04 -3.2765062848874852e+04 -3.2908471011550020e+04 -3.2933049641840887e+04 -3.2916711932263337e+04 -3.2887601987877213e+04 -3.2852422131165426e+04 -3.2813423542967590e+04 -3.2772497702784480e+04 -3.2729269304764563e+04 -3.2683683712516202e+04 -3.2634119741254093e+04 -3.2581066740760387e+04 -3.2523550767929319e+04 -3.2460806777820544e+04 -3.2391906256597471e+04 -3.2315805240214795e+04 -3.2231333183221264e+04 -3.2137031618376899e+04 -3.2031647654266082e+04 -3.1913481707558800e+04 -3.1780820165381720e+04 -3.1631814611037556e+04 -3.1464559881648802e+04 -3.1277146967353474e+04 -3.1067782224736249e+04 -3.0835182781507039e+04 -3.0577482524378833e+04 -3.0294626718931697e+04 -2.9987271934906395e+04 -2.9657827362619184e+04 -2.9310395077981924e+04 -2.8952785768179881e+04 -2.8596913954842392e+04 -2.8260374870348354e+04 -2.7969108561818779e+04 -2.7759732584394817e+04 -2.7684745763966592e+04 -2.7819461272834673e+04 -2.8274441611776205e+04 -2.9217170210401113e+04 -3.0912976232593919e+04 -3.3806266389419725e+04 7.1263944922789969e+03 +5.1737948732311504e-03 1.0508766640270401e+05 2.9852222553694597e+05 6.2970485516425688e+05 1.0576843326045058e+06 1.4711840193636327e+06 1.7041588875577813e+06 1.6848527110917547e+06 1.5377885559154563e+06 1.3874238932457899e+06 1.2581699345029201e+06 1.1353523705888228e+06 1.0171704760039772e+06 9.0668660106582334e+05 8.0492915937946120e+05 7.1162460091997369e+05 6.2718591573794722e+05 5.5178283145500638e+05 4.8476583749100321e+05 4.2530029221735598e+05 3.7260330546285637e+05 3.2598233340543369e+05 2.8513470877305372e+05 2.5247815738466260e+05 2.3279469111008313e+05 2.1514701127722263e+05 1.8990800615456412e+05 1.6372393718087731e+05 1.4036556869152805e+05 1.2008376075185224e+05 1.0256472732895357e+05 8.7480423666164817e+04 7.4533866299646557e+04 6.3459363928448474e+04 5.4019762183718492e+04 4.6003703639597959e+04 3.9223099564089884e+04 3.3510853847481827e+04 2.8718789431140955e+04 2.4715775235276611e+04 2.1386027300520884e+04 1.8442421060980643e+04 1.6048029970005025e+04 1.4107116431567416e+04 1.2537181105501231e+04 1.1267567664450373e+04 1.0238228004332663e+04 9.3986230092949463e+03 8.7067291369470258e+03 8.1281213107391086e+03 7.6350411518359042e+03 7.2054927760428909e+03 6.8224435752309182e+03 6.4728863153326593e+03 6.1464601382446162e+03 5.8346364863785893e+03 5.5298129211009264e+03 5.2239375133981348e+03 4.9072900037327508e+03 4.5665502308666064e+03 4.1822389820616936e+03 3.7239639195739719e+03 3.1436129176448476e+03 2.3646881860215622e+03 1.2719984714003590e+03 -2.9040926437026360e+02 -2.4950313469445532e+03 -5.4706257484257540e+03 -9.2214300560933880e+03 -1.3569758201238104e+04 -1.8169143965280320e+04 -2.2593853117215323e+04 -2.6460749506304237e+04 -2.9526520912509044e+04 -3.1726521170830169e+04 -3.3143751278054289e+04 -3.3951415809978476e+04 -3.4344979067842702e+04 -3.4494266970523669e+04 -3.4519631711369671e+04 -3.4502400077571787e+04 -3.4471845070385825e+04 -3.4434955186863386e+04 -3.4394073009435786e+04 -3.4351174164486278e+04 -3.4305861616585615e+04 -3.4258083318093704e+04 -3.4206131488233405e+04 -3.4150522587022584e+04 -3.4090235704066399e+04 -3.4024468970018890e+04 -3.3952249154901307e+04 -3.3872481983080215e+04 -3.3783939341856545e+04 -3.3685098375134665e+04 -3.3574637655673716e+04 -3.3450779253897192e+04 -3.3311726967010196e+04 -3.3155543369794992e+04 -3.2980231536653519e+04 -3.2783790477596478e+04 -3.2564339011670610e+04 -3.2320538114951145e+04 -3.2050423905677249e+04 -3.1753942410853066e+04 -3.1431781786206382e+04 -3.1086467307250183e+04 -3.0722298659176686e+04 -3.0347462755271496e+04 -2.9974447003909107e+04 -2.9621699394610630e+04 -2.9316402289511581e+04 -2.9096940261648582e+04 -2.9018339984303566e+04 -2.9159544577654920e+04 -2.9636441899735040e+04 -3.0624582624221053e+04 -3.2402075387564029e+04 -3.5434741537537440e+04 7.2143941070634410e+03 +5.2056822034519468e-03 1.0492507210908413e+05 2.9814653597046621e+05 6.2896700037447724e+05 1.0564940358114834e+06 1.4696042762328654e+06 1.7024569147924583e+06 1.6833393972833732e+06 1.5365914019028083e+06 1.3865300566680522e+06 1.2575469148565293e+06 1.1349776256235358e+06 1.0170192648396814e+06 9.0673084803716931e+05 8.0514018205987825e+05 7.1197415078561497e+05 6.2764743341833679e+05 5.5233262741508987e+05 4.8538314464051666e+05 4.2596698931350652e+05 3.7330366276556876e+05 3.2670283335899917e+05 2.8586491636024014e+05 2.5322076868369643e+05 2.3358057409044105e+05 2.1597947696775573e+05 1.9074631597989841e+05 1.6454245068506594e+05 1.4115359248718462e+05 1.2083485540317201e+05 1.0327436721375710e+05 8.8145569444555018e+04 7.5152745566305923e+04 6.4031283736212790e+04 5.4544938336323838e+04 4.6483104617284400e+04 3.9658304152164063e+04 3.3903921872416613e+04 2.9072145037005335e+04 2.5032102228089268e+04 2.1668175938490764e+04 1.8691116823128657e+04 1.6266672464637753e+04 1.4299036350495420e+04 1.2705571683705291e+04 1.1415428195232966e+04 1.0368318473666706e+04 9.5134291592071331e+03 8.8084376100761419e+03 8.2186048973823290e+03 7.7158535492046531e+03 7.2778722448410563e+03 6.8873253216832500e+03 6.5309183402160661e+03 6.1980116912763060e+03 5.8798002584056503e+03 5.5683899302347199e+03 5.2553903418245145e+03 4.9306510402518088e+03 4.5802558883704924e+03 4.1838473156198088e+03 3.7096720909958462e+03 3.1074643012036272e+03 2.2973343454659716e+03 1.1590339347912982e+03 -4.7010908325712666e+02 -2.7698391959508708e+03 -5.8740613624889493e+03 -9.7866797192702379e+03 -1.4321941086053354e+04 -1.9118336630258153e+04 -2.3731971741665704e+04 -2.7763553214954358e+04 -3.0959618948610012e+04 -3.3252944576039961e+04 -3.4730158120879554e+04 -3.5571876275369395e+04 -3.5981892882010296e+04 -3.6137256604528986e+04 -3.6163429630990890e+04 -3.6145270181919768e+04 -3.6113217340194511e+04 -3.6074555528671677e+04 -3.6031721763448688e+04 -3.5986778743778021e+04 -3.5939306873457324e+04 -3.5889256823053824e+04 -3.5834831024071485e+04 -3.5776574052571916e+04 -3.5713416335770904e+04 -3.5644517852886500e+04 -3.5568859045675556e+04 -3.5485293511903670e+04 -3.5392533486387780e+04 -3.5288989449016030e+04 -3.5173268900242147e+04 -3.5043512767369262e+04 -3.4897839278302716e+04 -3.4734218790262232e+04 -3.4550559306430398e+04 -3.4344764539058349e+04 -3.4114862604009431e+04 -3.3859456345899620e+04 -3.3576480526277315e+04 -3.3265881988419838e+04 -3.2928381611781122e+04 -3.2566624944224361e+04 -3.2185116406172328e+04 -3.1792432703561182e+04 -3.1401654781850400e+04 -3.1032114180013083e+04 -3.0712280316307068e+04 -3.0482368526630282e+04 -3.0400024478324161e+04 -3.0547952154759409e+04 -3.1047556802412815e+04 -3.2082747244622948e+04 -3.3944872411343327e+04 -3.7121940581639370e+04 7.3034796623393113e+03 +5.2377660628845739e-03 1.0476202228343379e+05 2.9777058955628233e+05 6.2822917970778223e+05 1.0553039199954926e+06 1.4680241239048524e+06 1.7007526941643925e+06 1.6818212931629114e+06 1.5353870191723034e+06 1.3856268462716511e+06 1.2569125913685460e+06 1.1345899332617952e+06 1.0168538066708063e+06 9.0675988899994944e+05 8.0533536506594042e+05 7.1230754049458681e+05 6.2809274400045536e+05 5.5286639058146114e+05 4.8598477575465466e+05 4.2661851734974445e+05 3.7398947976691031e+05 3.2740951716637966e+05 2.8658208789427031e+05 2.5395100582566430e+05 2.3435430040669968e+05 2.1680003291649712e+05 1.9157353321600292e+05 1.6535095964433550e+05 1.4193274535343726e+05 1.2157820022131418e+05 1.0397734197510676e+05 8.8805081303711675e+04 7.5766955392828138e+04 6.4599422024825086e+04 5.5067137557822665e+04 4.6960245881432595e+04 4.0091877264158225e+04 3.4295898186689483e+04 2.9424862548662943e+04 2.5348162440050120e+04 2.1950351895323587e+04 1.8940076805692617e+04 1.6485742423799325e+04 1.4491482452025726e+04 1.2874532132670716e+04 1.1563856827586013e+04 1.0498939165988077e+04 9.6287003351416824e+03 8.9105264591728064e+03 8.3093713154056022e+03 7.7968432467271896e+03 7.3503185009733170e+03 6.9521593847148797e+03 6.5887833080060045e+03 6.2492689774888759e+03 5.9245298294217428e+03 5.6063729465359538e+03 5.2860594726350300e+03 4.9529944294558773e+03 4.5926446705906137e+03 4.1837423743981017e+03 3.6931235933015078e+03 3.0682898190246633e+03 2.2258369231536476e+03 1.0402801035672564e+03 -6.5800339893445516e+02 -3.0562453681783004e+03 -6.2936524297784035e+03 -1.0373755660633506e+04 -1.5102435652985503e+04 -2.0102618442752511e+04 -2.4911636210790595e+04 -2.9113503794163134e+04 -3.2444280030899939e+04 -3.4834086454530414e+04 -3.6373307382898311e+04 -3.7250225374880036e+04 -3.7677246510357741e+04 -3.7838886584834851e+04 -3.7865890436700814e+04 -3.7846768371640632e+04 -3.7813163568142445e+04 -3.7772666354592933e+04 -3.7727811281058566e+04 -3.7680751116182735e+04 -3.7631042849607329e+04 -3.7578640002720087e+04 -3.7521651946322287e+04 -3.7460652404065586e+04 -3.7394521402732651e+04 -3.7322379409432746e+04 -3.7243158884835342e+04 -3.7155659439133851e+04 -3.7058531516738389e+04 -3.6950116600958703e+04 -3.6828948519025267e+04 -3.6693084187789413e+04 -3.6540553210803759e+04 -3.6369230437955805e+04 -3.6176925408718365e+04 -3.5961443136130591e+04 -3.5720717787231981e+04 -3.5453292045397095e+04 -3.5156995636150430e+04 -3.4831776275605676e+04 -3.4478388733320840e+04 -3.4099603122417924e+04 -3.3700135905194882e+04 -3.3288967489324030e+04 -3.2879793530195420e+04 -3.2492860687348973e+04 -3.2157971307497191e+04 -3.1917236846713808e+04 -3.1831015417783372e+04 -3.1985906093494996e+04 -3.2509028396437399e+04 -3.3592947561857138e+04 -3.5542725287718240e+04 -3.8869348610751513e+04 7.3936645456300203e+03 +5.2700476627853786e-03 1.0459851097729662e+05 2.9739437629969954e+05 6.2749138024934707e+05 1.0541139724243106e+06 1.4664435579314837e+06 1.6990462563246544e+06 1.6802984753577393e+06 1.5341755128982561e+06 1.3847143963962763e+06 1.2562671169803806e+06 1.1341894618216797e+06 1.0166742788301805e+06 9.0677390561798553e+05 8.0551488922228757e+05 7.1262494574791717e+05 6.2852201428541786e+05 5.5338427597714367e+05 4.8657087197866093e+05 4.2725500203033432e+05 3.7466086563971848e+05 3.2810247687200713e+05 2.8728629815716844e+05 2.5466892714874900e+05 2.3511591325631621e+05 2.1760870494079954e+05 1.9238966318650293e+05 1.6614944898937905e+05 1.4270299353220480e+05 1.2231374494095526e+05 1.0467358725178700e+05 8.9458883322710593e+04 7.6376410872061329e+04 6.5163687434314335e+04 5.5586264462470659e+04 4.7435030284085144e+04 4.0523722044325703e+04 3.4686688034889768e+04 2.9776850845959998e+04 2.5663869630716195e+04 2.2232474754173731e+04 1.9189227556478054e+04 1.6705173734843287e+04 1.4684395989540739e+04 1.3044010779679589e+04 1.1712808393017081e+04 1.0630050623508923e+04 9.7444018373619838e+03 9.0129647026542170e+03 8.4003922446609995e+03 7.8779835714213141e+03 7.4228055842691838e+03 7.0169196735201676e+03 6.6464542279646412e+03 6.3002033692523792e+03 5.9687941703888246e+03 5.6437276680642153e+03 5.3159062511389702e+03 4.9742757365081698e+03 4.6036643841454470e+03 4.1818613619179405e+03 3.6742408147773713e+03 3.0259906826073693e+03 2.1500663227077016e+03 9.1556235393388272e+02 -8.5433163777919424e+02 -3.3545790539610048e+03 -6.7298454119194375e+03 -1.0983246740147591e+04 -1.5911990037848589e+04 -2.1122900925251717e+04 -2.6133911461841210e+04 -3.0511797852898657e+04 -3.3981803812599639e+04 -3.6471319708509473e+04 -3.8074618765288986e+04 -3.8987909205325836e+04 -3.9432498650433547e+04 -3.9600620090026896e+04 -3.9628477667451822e+04 -3.9608357263418169e+04 -3.9573144998988777e+04 -3.9530747318303998e+04 -3.9483799474204607e+04 -3.9434547372585759e+04 -3.9382523713040551e+04 -3.9327685003360195e+04 -3.9268044198793803e+04 -3.9204205227793078e+04 -3.9134995935319239e+04 -3.9059495881914314e+04 -3.8976587852990691e+04 -3.8885015563865112e+04 -3.8783365477042724e+04 -3.8669907689003761e+04 -3.8543099687445116e+04 -3.8400911440057462e+04 -3.8241280794836493e+04 -3.8061983722414210e+04 -3.7860727821489636e+04 -3.7635215919656490e+04 -3.7383284908240341e+04 -3.7103415229349077e+04 -3.6793327801182742e+04 -3.6452971270534108e+04 -3.6083135492666690e+04 -3.5686719546107233e+04 -3.5268659423574420e+04 -3.4838353490987560e+04 -3.4410133814283407e+04 -3.4005194532736015e+04 -3.3654717937865244e+04 -3.3402778593728639e+04 -3.3312542841318886e+04 -3.3474642417697847e+04 -3.4022112920742678e+04 -3.5156481700625838e+04 -3.7197007484398491e+04 -4.0678467646969999e+04 7.4849623092524325e+03 +5.3025282218759680e-03 1.0443453096738104e+05 2.9701788536326698e+05 6.2675361291100353e+05 1.0529241990068110e+06 1.4648626031843990e+06 1.6973376845214306e+06 1.6787710064657710e+06 1.5329569937872556e+06 1.3837928402037777e+06 1.2556106417666185e+06 1.1337763765996648e+06 1.0164808568392982e+06 9.0677307768812717e+05 8.0567893372902623e+05 7.1292654090443463e+05 6.2893540999241162e+05 5.5388643792442931e+05 4.8714157409305370e+05 4.2787656903300434e+05 3.7531792988617928e+05 3.2878180518013751e+05 2.8797762290053739e+05 2.5537459226802920e+05 2.3586545749287496e+05 2.1840552092957718e+05 1.9319471360895631e+05 1.6693790626285432e+05 1.4346430600843870e+05 1.2304144208973109e+05 1.0536304144808716e+05 9.0106902246792277e+04 7.6981029599267596e+04 6.5723990888661341e+04 5.6102225685499427e+04 4.7907362402904539e+04 4.0953743045221279e+04 3.5076197742926808e+04 3.0128019565314906e+04 2.5979138003500953e+04 2.2514464251521880e+04 1.9438495498459666e+04 1.6924899924840447e+04 1.4877717669138530e+04 1.3213955268076101e+04 1.1862236951748873e+04 1.0761612574241890e+04 9.8604981458529692e+03 9.1157205591615220e+03 8.4916386015126136e+03 7.9592471284304866e+03 7.4953068509376326e+03 7.0815794422694753e+03 6.7039034692589012e+03 6.3507855977336440e+03 6.0125615922750603e+03 5.6804190946088138e+03 5.3448912634815006e+03 4.9944496787180569e+03 4.6132618625643418e+03 4.1781403328486304e+03 3.6529447464255331e+03 2.9804663515574493e+03 2.0698906883460063e+03 7.8470308624075449e+02 -1.0593371775356300e+03 -3.6651746487782625e+03 -7.1830934734203238e+03 -1.1615750171226804e+04 -1.6751362406286597e+04 -2.2180107203950171e+04 -2.7399875406097814e+04 -3.1959646082435611e+04 -3.5573504859059562e+04 -3.8166032723968267e+04 -3.9835527809287509e+04 -4.0786389899530135e+04 -4.1249124124917260e+04 -4.1423936450606772e+04 -4.1452671009259240e+04 -4.1431515608606678e+04 -4.1394638996100970e+04 -4.1350274174089725e+04 -4.1301160336184766e+04 -4.1249639665203656e+04 -4.1195219671739134e+04 -4.1137859988937453e+04 -4.1075473718528447e+04 -4.1008696077356035e+04 -4.0936300903146868e+04 -4.0857325421056572e+04 -4.0770601005460594e+04 -4.0674813522551107e+04 -4.0568483207562371e+04 -4.0449806321022872e+04 -4.0317161279046872e+04 -4.0168428089324465e+04 -4.0001449635931327e+04 -3.9813899555358053e+04 -3.9603379942972948e+04 -3.9367487868785916e+04 -3.9103959539722207e+04 -3.8811211025626086e+04 -3.8486850572780204e+04 -3.8130827818306047e+04 -3.7743968928025017e+04 -3.7329306454287878e+04 -3.6892003593203292e+04 -3.6441891276113303e+04 -3.5993960214328174e+04 -3.5570385182221886e+04 -3.5203776589328991e+04 -3.4940240744123432e+04 -3.4845850355378418e+04 -3.5015410784956563e+04 -3.5588080471075031e+04 -3.6774662104450414e+04 -3.8909107618910166e+04 -4.2550816280377672e+04 7.5773866723424771e+03 +5.3352089663892223e-03 1.0427007436380624e+05 2.9664111441070691e+05 6.2601585851439706e+05 1.0517345968426133e+06 1.4632812686075252e+06 1.6956269842652469e+06 1.6772389787687722e+06 1.5317315608384130e+06 1.3828623034222466e+06 1.2549433148331097e+06 1.1333508412033012e+06 1.0162737142095446e+06 9.0675758316313371e+05 8.0582767612202908e+05 7.1321249894215981e+05 6.2933309572179057e+05 5.5437303000829718e+05 4.8769702247305226e+05 4.2848334396544914e+05 3.7596078228761465e+05 3.2944759540026332e+05 2.8865613878855947e+05 2.5606806201624652e+05 2.3660297956012815e+05 2.1919051077660857e+05 1.9398869452728771e+05 1.6771632155578394e+05 1.4421665445258960e+05 1.2376124693930842e+05 1.0604564569427245e+05 9.0749067458519523e+04 7.7580731654947202e+04 6.6280245590424674e+04 5.6614929889601321e+04 4.8377148557255190e+04 4.1381846253416559e+04 3.5464334752096460e+04 3.0478279139548198e+04 2.6293882250024653e+04 2.2796240323720391e+04 1.9687806976208896e+04 1.7144854205127114e+04 1.5071387690157288e+04 1.3384312592680972e+04 1.2012095821987648e+04 1.0893583955130940e+04 9.9769529374394042e+03 9.2187614596155527e+03 8.5830805467472655e+03 8.0406058058477711e+03 7.5677949763611323e+03 7.1461112916708253e+03 6.7611027619031502e+03 6.4009857535631681e+03 6.0557997466619654e+03 5.7164115282129515e+03 5.3729743371817740e+03 5.0134701260325483e+03 4.6213829667669406e+03 4.1725141933962586e+03 3.6291549822704887e+03 2.9316145339821564e+03 1.9851759058731811e+03 6.4752172815820290e+02 -1.2732673384082791e+03 -3.9883717321547829e+03 -7.6538564388139403e+03 -1.2271871444805303e+04 -1.7621320834325150e+04 -2.3275171839009792e+04 -2.8710618708436785e+04 -3.3458272989530778e+04 -3.7220712343517538e+04 -3.9919629039130174e+04 -4.1657485546961201e+04 -4.2647145266794811e+04 -4.3128613517077894e+04 -4.3310330782501595e+04 -4.3339965928479818e+04 -4.3317737926301314e+04 -4.3279138674955597e+04 -4.3232738410854246e+04 -4.3181383576060878e+04 -4.3127515842162640e+04 -4.3070616608960911e+04 -4.3010648776905677e+04 -4.2945422072490444e+04 -4.2875604110741886e+04 -4.2799912852536138e+04 -4.2717341724326834e+04 -4.2626668911441520e+04 -4.2526520429034863e+04 -4.2415347985255474e+04 -4.2291271496529487e+04 -4.2152587508603407e+04 -4.1997082985354427e+04 -4.1822502560669687e+04 -4.1626413998167773e+04 -4.1406310240961320e+04 -4.1159678942435239e+04 -4.0884152133897420e+04 -4.0578079330140594e+04 -4.0238952147020442e+04 -3.9866721273196483e+04 -3.9462250439565665e+04 -3.9028710290238661e+04 -3.8571499083856819e+04 -3.8100895278950709e+04 -3.7632571006635073e+04 -3.7189715636800931e+04 -3.6806417039303844e+04 -3.6530883569433136e+04 -3.6432194825707862e+04 -3.6609474176649863e+04 -3.7208214684803264e+04 -3.8448815210040659e+04 -4.0680429114146071e+04 -4.4487929291999273e+04 7.6709515229032104e+03 +5.3680911301155860e-03 1.0410513602384631e+05 2.9626405577325413e+05 6.2527811267983716e+05 1.0505451710347836e+06 1.4616995566695377e+06 1.6939142165373850e+06 1.6757024597557471e+06 1.5304993241512645e+06 1.3819229134162010e+06 1.2542652834521385e+06 1.1329130175596431e+06 1.0160530221580381e+06 9.0672759807388927e+05 8.0596129223712103e+05 7.1348299142603751e+05 6.2971523494071199e+05 5.5484420504241227e+05 4.8823735705383780e+05 4.2907545232883136e+05 3.7658953286002140e+05 3.3009994139530184e+05 2.8932192334261915e+05 2.5674939838503484e+05 2.3732852743118702e+05 2.1996370631104941e+05 1.9477161824443599e+05 1.6848468744319849e+05 1.4496001316286810e+05 1.2447311745477415e+05 1.0672134380602732e+05 9.1385310947978956e+04 7.8175439586430235e+04 6.6832367013591007e+04 5.7124287768337286e+04 4.8844296822860619e+04 4.1807939113608947e+04 3.5851007650947446e+04 3.0827540836299904e+04 2.6608017592735283e+04 2.3077723151986331e+04 1.9937088301544900e+04 1.7364969515247773e+04 1.5265345785786913e+04 1.3555029135289902e+04 1.2162337609745857e+04 1.1025922935689783e+04 1.0093729103614438e+04 9.3220540598390380e+03 8.6746874940452599e+03 8.1220307801575227e+03 7.6402419584151930e+03 7.2104871710385469e+03 6.8180231980667804e+03 6.4507732877829330e+03 6.0984756265292235e+03 5.7516685740113189e+03 5.4001145419464174e+03 5.0312901018723333e+03 4.6279725858411302e+03 4.1649167020491323e+03 3.6027897200853340e+03 2.8793311873710672e+03 1.8957856043601068e+03 5.0383473881684750e+02 -1.4963733727660165e+03 -4.3245150445655026e+03 -8.1426007469934466e+03 -1.2952224249553123e+04 -1.8522643183872460e+04 -2.4409040648810133e+04 -3.0067244559165410e+04 -3.5008916621206066e+04 -3.8924769733500216e+04 -4.1733527002848670e+04 -4.3541958141487456e+04 -4.4571668422611074e+04 -4.5072472795423550e+04 -4.5261313609689620e+04 -4.5291873293714445e+04 -4.5268534125834478e+04 -4.5228152525694619e+04 -4.5179646875238563e+04 -4.5125974242020704e+04 -4.5069679071794963e+04 -4.5010215707762349e+04 -4.4947550463275998e+04 -4.4879386082863872e+04 -4.4806423716508798e+04 -4.4727323533657349e+04 -4.4641033663562244e+04 -4.4546277281978568e+04 -4.4441618503540551e+04 -4.4325438154172662e+04 -4.4195777238055227e+04 -4.4050847564566822e+04 -4.3888339896313068e+04 -4.3705897252057810e+04 -4.3500977899088437e+04 -4.3270961891832834e+04 -4.3013223720633971e+04 -4.2725287666063043e+04 -4.2405434453226044e+04 -4.2051035014025576e+04 -4.1662041151153193e+04 -4.1239355445500005e+04 -4.0786291361192016e+04 -4.0308490266858898e+04 -3.9816693468080899e+04 -3.9327277835499648e+04 -3.8864482108276825e+04 -3.8463922139753413e+04 -3.8175980318032409e+04 -3.8072846059627736e+04 -3.8258108578818668e+04 -3.8883812416663939e+04 -4.0180281112163531e+04 -4.2512389843735473e+04 -4.6491357266171945e+04 7.7656709198790250e+03 +5.4011759544496480e-03 1.0393970836361269e+05 2.9588670288056863e+05 6.2454037255980785e+05 1.0493559220338033e+06 1.4601175065257370e+06 1.6921994159894323e+06 1.6741615358362305e+06 1.5292603796191595e+06 1.3809747975217518e+06 1.2535766913089792e+06 1.1324630653648074e+06 1.0158189498173349e+06 9.0668329646518582e+05 8.0607995624530583e+05 7.1373818849567499e+05 6.3008198998415843e+05 5.5530011502846226e+05 4.8876271729113959e+05 4.2965301947800623e+05 3.7720429180502711e+05 3.3073893753113871e+05 2.8997505488791096e+05 2.5741866446779703e+05 2.3804215054425754e+05 2.2072514123223745e+05 1.9554349925554704e+05 1.6924299892050089e+05 1.4569435900701070e+05 1.2517701424513603e+05 1.0739008224360715e+05 9.2015567281986805e+04 7.8765078387778223e+04 6.7380272894671187e+04 5.7630212048526606e+04 4.9308717044476020e+04 4.2231930550479599e+04 3.6236126205176763e+04 3.1175716794289219e+04 2.6921459825893387e+04 2.3358833206342144e+04 2.0186265798173299e+04 1.7585178566285256e+04 1.5459531263077688e+04 1.3726050700311442e+04 1.2312914238853937e+04 1.1158586942147997e+04 1.0210788768943699e+04 9.4255642538777574e+03 8.7664281191075388e+03 8.2034925221713584e+03 7.7126191212799586e+03 7.2746783806621070e+03 6.8746352337437147e+03 6.5001170131488652e+03 6.1405555674491952e+03 5.7861531412872155e+03 5.4262701907698147e+03 5.0478617842329304e+03 4.6329746381695777e+03 4.1552804706968564e+03 3.5737657625683123e+03 2.8235105200330349e+03 1.8015811585077108e+03 3.5345561388843930e+02 -1.7289104535104443e+03 -4.6739544623744468e+03 -8.6497994027039204e+03 -1.3657430388170531e+04 -1.9456116973098277e+04 -2.5582670527721053e+04 -3.1470868438601319e+04 -3.6612828280945578e+04 -4.0687034468000020e+04 -4.3609159423321362e+04 -4.5490426517252534e+04 -4.6561467408501529e+04 -4.7082222928111543e+04 -4.7278410476526165e+04 -4.7309918988034879e+04 -4.7285429118802233e+04 -4.7243204025640669e+04 -4.7192521384159016e+04 -4.7136452334792164e+04 -4.7077647456034756e+04 -4.7015533065407697e+04 -4.6950079037365052e+04 -4.6878877442699937e+04 -4.6802664129732126e+04 -4.6720039516812052e+04 -4.6629904902203161e+04 -4.6530926588660936e+04 -4.6421604692087807e+04 -4.6300246745459794e+04 -4.6164812212303332e+04 -4.6013425231652749e+04 -4.5843677132819430e+04 -4.5653105875043926e+04 -4.5439056520306251e+04 -4.5198792409726826e+04 -4.4929571035688525e+04 -4.4628805268467004e+04 -4.4294704756245155e+04 -4.3924515597278274e+04 -4.3518190772907888e+04 -4.3076673028645760e+04 -4.2603423488904693e+04 -4.2104334869707542e+04 -4.1590627005328199e+04 -4.1079405376331873e+04 -4.0595993686087000e+04 -4.0177587487611119e+04 -3.9876816887754809e+04 -3.9769086479910766e+04 -3.9962602654233575e+04 -4.0616183405451702e+04 -4.1970413219107773e+04 -4.4406421767527929e+04 -4.8562666192000019e+04 7.8615590952538068e+03 +5.4344646884370088e-03 1.0377378428199280e+05 2.9550904875255306e+05 6.2380263176646992e+05 1.0481668355458141e+06 1.4585351074294189e+06 1.6904826309732299e+06 1.6726162649819730e+06 1.5280148266866659e+06 1.3800180751713121e+06 1.2528776794443915e+06 1.1320011420934405e+06 1.0155716647583311e+06 9.0662485053278401e+05 8.0618384073111380e+05 7.1397825886333885e+05 6.3043352205874934e+05 5.5574091112476285e+05 4.8927324212854839e+05 4.3021617058828770e+05 3.7780516946723656e+05 3.3136467862595798e+05 2.9061561250011349e+05 2.5807592440326384e+05 2.3874389974327345e+05 2.2147485104327032e+05 1.9630435418111441e+05 1.6999125334053545e+05 1.4641967136487513e+05 1.2587290051169092e+05 1.0805181006934239e+05 9.2639773571862039e+04 7.9349575478160186e+04 6.7923883222091463e+04 5.8132617490535020e+04 4.9770320845980248e+04 4.2653730988490657e+04 3.6619601385762035e+04 3.1522720058073897e+04 2.7234125355326461e+04 2.3639491288051460e+04 2.0435265845274062e+04 1.7805413883543737e+04 1.5653883043008824e+04 1.3897322550372795e+04 1.2463776981342497e+04 1.1291532682031810e+04 1.0328093310052034e+04 9.5292571878686304e+03 8.8582703693416024e+03 8.2849608035264118e+03 7.7848971196515795e+03 7.3386555747055254e+03 6.9309086907594183e+03 6.5489851057347969e+03 6.1820052489556838e+03 5.8198274448923903e+03 5.4513988413166344e+03 5.0631365070812626e+03 4.6363320728519857e+03 4.1435369660950473e+03 3.5419985189192662e+03 2.7640449930349532e+03 1.7024216916875928e+03 1.9619489157972563e+02 -1.9711376611230016e+03 -5.0370449708672950e+03 -9.1759319253722824e+03 -1.4388119690009744e+04 -2.0422539241932387e+04 -2.6797029257951439e+04 -3.2922617874416093e+04 -3.8271272237028279e+04 -4.2508877625678921e+04 -4.5547973207635718e+04 -4.7504385980549450e+04 -4.8618064801570305e+04 -4.9159399487348150e+04 -4.9363161550152465e+04 -4.9395643510743634e+04 -4.9369962421163793e+04 -4.9325831241752821e+04 -4.9272898328080606e+04 -4.9214352410955027e+04 -4.9152953634534031e+04 -4.9088099297295834e+04 -4.9019762986598915e+04 -4.8945422321079051e+04 -4.8865849038130109e+04 -4.8779581799542808e+04 -4.8685473503153626e+04 -4.8582131671787785e+04 -4.8467990275572192e+04 -4.8341281087834672e+04 -4.8199879341697240e+04 -4.8041818503443312e+04 -4.7864587161950833e+04 -4.7665614692160547e+04 -4.7442129155543989e+04 -4.7191273266156255e+04 -4.6910183594097602e+04 -4.6596157854637291e+04 -4.6247332278645132e+04 -4.5860823884313075e+04 -4.5436586897488291e+04 -4.4975605573844485e+04 -4.4481493650977005e+04 -4.3960403621666104e+04 -4.3424049895660457e+04 -4.2890290989718109e+04 -4.2385571995650433e+04 -4.1948721086658377e+04 -4.1634691490422803e+04 -4.1522210789912002e+04 -4.1724257405976590e+04 -4.2406649932206237e+04 -4.3820577899718461e+04 -4.6363970558136520e+04 -5.0703437054734008e+04 7.9586304561765637e+03 +5.4679585888214328e-03 1.0360735506046723e+05 2.9513108375815989e+05 6.2306488474043726e+05 1.0469779240520996e+06 1.4569523885054360e+06 1.6887638785131101e+06 1.6710667131587353e+06 1.5267627638140132e+06 1.3790528643435268e+06 1.2521683892683908e+06 1.1315274033198482e+06 1.0153113329642926e+06 9.0655243076599401e+05 8.0627311673791357e+05 7.1420336980212375e+05 6.3076999123835040e+05 5.5616674361955700e+05 4.8976906996333337e+05 4.3076503062120621e+05 3.7839227628866280e+05 3.3197725990420015e+05 2.9124367595362733e+05 2.5872124332046366e+05 2.3943382721717050e+05 2.2221287298629741e+05 1.9705420170209679e+05 1.7072945035080766e+05 1.4713593206982675e+05 1.2656074199791790e+05 1.0870647890523581e+05 9.3257869439990100e+04 7.9928860679161953e+04 6.8463120224014798e+04 5.8631420886638938e+04 5.0229021639513885e+04 4.3073252370016184e+04 3.7001345395029653e+04 3.1868464610896215e+04 2.7545931236046661e+04 2.3919618570864091e+04 2.0684014920194728e+04 1.8025607848556621e+04 1.5848339699915405e+04 1.4068789441910678e+04 1.2614876487994836e+04 1.1424716169261876e+04 1.0445603375104814e+04 9.6330972745666786e+03 8.9501814741219168e+03 8.3664047037396813e+03 7.8570459435226812e+03 7.4023887643968801e+03 6.9868127591364973e+03 6.5973451068211898e+03 6.2227896962946324e+03 5.8526530068445109e+03 5.4754572975609390e+03 5.0770647620422815e+03 4.6379868714178720e+03 4.1296165116863840e+03 3.5074020068244317e+03 2.7008253226291035e+03 1.5981640796079516e+03 3.1860159513697027e+01 -2.2233179694517853e+03 -5.4141466354820341e+03 -9.7214842952817635e+03 -1.5144929920068411e+04 -2.1422716413028829e+04 -2.8053095315335453e+04 -3.4423632192110592e+04 -3.9985525422714512e+04 -4.4391683585057450e+04 -4.7551428992029294e+04 -4.9585345830962950e+04 -5.0742997314898035e+04 -5.1305552244324113e+04 -5.1517121213297389e+04 -5.1550601569813785e+04 -5.1523687745788069e+04 -5.1477586423436966e+04 -5.1422328263921234e+04 -5.1361223176621636e+04 -5.1297144378800498e+04 -5.1229459132268988e+04 -5.1158144892177865e+04 -5.1080560959515104e+04 -5.0997516178853431e+04 -5.0907485404045132e+04 -5.0809271526789882e+04 -5.0701421339422814e+04 -5.0582300469975526e+04 -5.0450062408490754e+04 -5.0302495406589413e+04 -5.0137539185961250e+04 -4.9952576212217857e+04 -4.9744923670296281e+04 -4.9511688738567987e+04 -4.9249889500559591e+04 -4.8956537589589010e+04 -4.8628811735022624e+04 -4.8264772356504764e+04 -4.7861403047943662e+04 -4.7418659347323322e+04 -4.6937568396796960e+04 -4.6421901613918933e+04 -4.5878079890943904e+04 -4.5318328628779920e+04 -4.4761284367594097e+04 -4.4234550848700914e+04 -4.3778643001302036e+04 -4.3450914308146974e+04 -4.3333525630987235e+04 -4.3544385833307744e+04 -4.4256546470156369e+04 -4.5732154121524480e+04 -4.8386495218114214e+04 -5.2915265417136703e+04 8.0568995871128855e+03 +5.5016589200922970e-03 1.0344041456446904e+05 2.9475280316536786e+05 6.2232712813267263e+05 1.0457891744547009e+06 1.4553693392690066e+06 1.6870432187508643e+06 1.6695129559236395e+06 1.5255042877053570e+06 1.3780792861874495e+06 1.2514489612417598e+06 1.1310420026295839e+06 1.0150381183539717e+06 9.0646620591277699e+05 8.0634795373885287e+05 7.1441368711825460e+05 6.3109155644851283e+05 5.5657776190816029e+05 4.9025033861659456e+05 4.3129972428895615e+05 3.7896572276574047e+05 3.3257677694972686e+05 2.9185932567257900e+05 2.5935468728422612e+05 2.4011198644062053e+05 2.2293924597921089e+05 1.9779306249510474e+05 1.7145759183043861e+05 1.4784312535201060e+05 1.2724050693757542e+05 1.0935404288969222e+05 9.3869796986240384e+04 8.0502866190477158e+04 6.8997908355003296e+04 5.9126541057941547e+04 5.0684734632150939e+04 4.3490408171397081e+04 3.7381271691064438e+04 3.2212865405725701e+04 2.7856795208845750e+04 2.4199136640799741e+04 2.0932439639985354e+04 1.8245692740389684e+04 1.6042839500677212e+04 1.4240395660636621e+04 1.2766162819072939e+04 1.1558092749491305e+04 1.0563278903827581e+04 9.7370482083007282e+03 9.0421279556198733e+03 8.4477926176701694e+03 7.9290349233001425e+03 7.4658473216798257e+03 7.0423159998122073e+03 6.6451639251271745e+03 6.2628732823717291e+03 5.8845906582516791e+03 5.4984016116805778e+03 5.0895962003398918e+03 4.6378800498768123e+03 4.1134482897174075e+03 3.4698888548156006e+03 2.6337404831640747e+03 1.4886629546229203e+03 -1.3974393753219428e+02 -2.4857182302630285e+03 -5.8056245711876227e+03 -1.0286948897191414e+04 -1.5928506684545611e+04 -2.2457464147940656e+04 -2.9351857669908342e+04 -3.5975062258944214e+04 -4.1756877129548840e+04 -4.6336849676217753e+04 -4.9621000764011384e+04 -5.1734828963617249e+04 -5.2937815389076197e+04 -5.3522244755204978e+04 -5.3741857647950950e+04 -5.3776361665176235e+04 -5.3748172585960470e+04 -5.3700035586452446e+04 -5.3642375499679780e+04 -5.3578627072443021e+04 -5.3511780177622699e+04 -5.3441170998254012e+04 -5.3366781015293222e+04 -5.3285847258677437e+04 -5.3199216926103763e+04 -5.3105298965330861e+04 -5.3002844620132077e+04 -5.2890337957523145e+04 -5.2766074017204839e+04 -5.2628125425255399e+04 -5.2474190638453001e+04 -5.2302112492418295e+04 -5.2109163869904296e+04 -5.1892546078460007e+04 -5.1649241442921266e+04 -5.1376139322101342e+04 -5.1070122307049838e+04 -5.0728246223597489e+04 -5.0348493232172950e+04 -4.9927709059504945e+04 -4.9465850624921884e+04 -4.8963989364662986e+04 -4.8426059557654356e+04 -4.7858759313976487e+04 -4.7274841812881263e+04 -4.6693747171370815e+04 -4.6144275885559713e+04 -4.5668685002561266e+04 -4.5326807142107275e+04 -4.5204349232134773e+04 -4.5424312579534475e+04 -4.6167219327144143e+04 -4.7706533081140216e+04 -5.0475467688844357e+04 -5.5199760992011506e+04 8.1563812520206411e+03 +5.5355669545323269e-03 1.0327295689326957e+05 2.9437420278725296e+05 6.2158935229440662e+05 1.0446005875070565e+06 1.4537859932665387e+06 1.6853206704573648e+06 1.6679550689583078e+06 1.5242394963872950e+06 1.3770974576945622e+06 1.2507195320441970e+06 1.1305450916296290e+06 1.0147521826242972e+06 9.0636634285076894e+05 8.0640851955460384e+05 7.1460937511491880e+05 6.3139837544097996e+05 5.5697411447392905e+05 4.9071718530105182e+05 4.3182037601860589e+05 3.7952561940929585e+05 3.3316332565990090e+05 2.9246264268058049e+05 2.5997632324256047e+05 2.4077843211690482e+05 2.2365401055163445e+05 1.9852095916789485e+05 1.7217568182878388e+05 1.4854123777983338e+05 1.2791216600292895e+05 1.0999445863342694e+05 9.4475500752617954e+04 8.1071526565044216e+04 6.9528174280394771e+04 5.9617898849423793e+04 5.1137376830749214e+04 4.3905113417204346e+04 3.7759295010058733e+04 3.2555838394657814e+04 2.8166635734786727e+04 2.4477967534504540e+04 2.1180466801787836e+04 1.8465600776130890e+04 1.6237320443434623e+04 1.4412085056936412e+04 1.2917585475162337e+04 1.1691617125839697e+04 1.0681079147978267e+04 9.8410729806066829e+03 9.1340756401136077e+03 8.5290922635813022e+03 8.0008327354711901e+03 7.5289999832169142e+03 7.0973863476533479e+03 6.6924078392839610e+03 6.3022197300131857e+03 5.9156005414855517e+03 5.5201870862495807e+03 5.1006796350159320e+03 4.6359516610010696e+03 4.0949603437182582e+03 3.4293703050212598e+03 2.5626777104640619e+03 1.3737707106211494e+03 -3.1881568905880368e+02 -2.7586091566037130e+03 -6.2118489101970954e+03 -1.0872824461509228e+04 -1.6739503332939330e+04 -2.3527607199139227e+04 -3.0694315580800521e+04 -3.7578070221602771e+04 -4.3586628693163642e+04 -4.8345785825013911e+04 -5.1758175476189659e+04 -5.3954371463719603e+04 -5.5204082774751114e+04 -5.5811053938330748e+04 -5.6038952410682527e+04 -5.6074505663438926e+04 -5.6044997790301677e+04 -5.5994758088087532e+04 -5.5934617669911757e+04 -5.5868139849501793e+04 -5.5798434813691441e+04 -5.5724806599432464e+04 -5.5647240875012765e+04 -5.5562848357130781e+04 -5.5472515870399635e+04 -5.5374584311526574e+04 -5.5267751597842398e+04 -5.5150437031579342e+04 -5.5020862767876264e+04 -5.4877017930431553e+04 -5.4716508305116658e+04 -5.4537076629415191e+04 -5.4335882666761419e+04 -5.4110008077248836e+04 -5.3856306273390248e+04 -5.3571533703334273e+04 -5.3252439718704314e+04 -5.2895953236745096e+04 -5.2499975656035182e+04 -5.2061210293802229e+04 -5.1579615521652988e+04 -5.1056308508707829e+04 -5.0495391692603844e+04 -4.9903849416574798e+04 -4.9294979800516237e+04 -4.8689052662486021e+04 -4.8116104210040416e+04 -4.7620190206972882e+04 -4.7263703053979953e+04 -4.7136011052484857e+04 -4.7365373572715522e+04 -4.8140026280172184e+04 -4.9745117826873284e+04 -5.2632372451210918e+04 -5.7558547205141425e+04 8.2570903965547750e+03 +5.5696839722656297e-03 1.0310497121366000e+05 2.9399526896211220e+05 6.2085155412465183e+05 1.0434121631413248e+06 1.4522023480914875e+06 1.6835962917893799e+06 1.6663931154669868e+06 1.5229684859457621e+06 1.3761074975362690e+06 1.2499802349027570e+06 1.1300368203463205e+06 1.0144536854467361e+06 9.0625300657457975e+05 8.0645498027064733e+05 7.1479059657667472e+05 6.3169060477132828e+05 5.5735594886917900e+05 4.9116974659298843e+05 4.3232710991497658e+05 3.8007207670457347e+05 3.3373700220255967e+05 2.9305370855373633e+05 2.6058621897535463e+05 2.4143322012094394e+05 2.2435720878367251e+05 1.9923791619638063e+05 1.7288372650378288e+05 1.4923025820268327e+05 1.2857569225401612e+05 1.1062768517528274e+05 9.5074927687651070e+04 8.1634778682401869e+04 7.0053846860313308e+04 6.0105417123492283e+04 5.1586867045460152e+04 4.4317284692639820e+04 3.8135331386923921e+04 3.2897300556544003e+04 2.8475372028543075e+04 2.4756033776393615e+04 2.1428023422290538e+04 1.8685264150517381e+04 1.6431720295795509e+04 1.4583801080950087e+04 1.3069093428176842e+04 1.1825243384937943e+04 1.0798962692204252e+04 9.9451338961973088e+03 9.2259896698719094e+03 8.6102706916645457e+03 8.0724074086072642e+03 7.5918148547909368e+03 7.1519911148590154e+03 6.7390425006636360e+03 6.3407921144936554e+03 5.9456421125586912e+03 5.5407682766157541e+03 5.1102630434001467e+03 4.6321407969221500e+03 4.0740795812608158e+03 3.3857562162613663e+03 2.4875225056379127e+03 1.2533375085097130e+03 -5.0555630947989550e+02 -3.0422653050166587e+03 -6.6331947679887053e+03 -1.1479616003149815e+04 -1.7578580857068166e+04 -2.4633979257801515e+04 -3.2081478386138660e+04 -3.9233829237729689e+04 -4.5476093172494351e+04 -5.0419914189952571e+04 -5.3964452652242901e+04 -5.6245522192462857e+04 -5.7543376107714328e+04 -5.8173569643268784e+04 -5.8409999999399130e+04 -5.8446628364361437e+04 -5.8415757129261488e+04 -5.8363346194321020e+04 -5.8300645303340185e+04 -5.8231350137629612e+04 -5.8158694932085629e+04 -5.8081950485540387e+04 -5.8001106818015644e+04 -5.7913144201505900e+04 -5.7818990389531798e+04 -5.7716916035406844e+04 -5.7605564014589392e+04 -5.7483286780158734e+04 -5.7348231255917330e+04 -5.7198300366368734e+04 -5.7031004287311771e+04 -5.6843982375212945e+04 -5.6634277659721462e+04 -5.6398848300614387e+04 -5.6134414649396764e+04 -5.5837595965850342e+04 -5.5505004072404212e+04 -5.5133436884256553e+04 -5.4720712480635084e+04 -5.4263387126632486e+04 -5.3761420718743728e+04 -5.3215977629457542e+04 -5.2631333869209309e+04 -5.2014769228285375e+04 -5.1380144307609895e+04 -5.0748585326039567e+04 -5.0151404017646397e+04 -4.9634512708304355e+04 -4.9262946000595053e+04 -4.9129851416773919e+04 -4.9368915659177183e+04 -5.0176336203313906e+04 -5.1849322874140104e+04 -5.4858706118745125e+04 -5.9993260750633068e+04 8.3590421502975551e+03 +5.6040112613060227e-03 1.0293645217050833e+05 2.9361600263513130e+05 6.2011372083871101e+05 1.0422239046011236e+06 1.4506184305622962e+06 1.6818701026321820e+06 1.6648271530871794e+06 1.5216913512329303e+06 1.3751095218394401e+06 1.2492312031833648e+06 1.1295173369674480e+06 1.0141427846416268e+06 9.0612636029297183e+05 8.0648750017890881e+05 7.1495751278587198e+05 6.3196839977589343e+05 5.5772341169236763e+05 4.9160815840475785e+05 4.3282004972228844e+05 3.8060520507410780e+05 3.3429790297207859e+05 2.9363260537311708e+05 2.6118444304286319e+05 2.4207640744337728e+05 2.2504888424451469e+05 1.9994395986187516e+05 1.7358173406042263e+05 1.4991017769380021e+05 1.2923106108575744e+05 1.1125368393775978e+05 9.5668027109578732e+04 8.2192561721161692e+04 7.0574857131670389e+04 6.0589020751968623e+04 5.2033125891295655e+04 4.4726840154223646e+04 3.8509298174233045e+04 3.3237169922768866e+04 2.8782924089736884e+04 2.5033258414203934e+04 2.1675036775794208e+04 1.8904615074844656e+04 1.6625976632439611e+04 1.4755486817608618e+04 1.3220635152246730e+04 1.1958925023118720e+04 1.0916887475362291e+04 1.0049192589530114e+04 9.3178345154725503e+03 8.6912942929578367e+03 8.1437263298871158e+03 7.6542594160538647e+03 7.2060969946014138e+03 6.7850329364395557e+03 6.3785528662914139e+03 5.9746741438138133e+03 5.5600989935779116e+03 5.1182935698229585e+03 4.6263855919687221e+03 4.0507317770173008e+03 3.3389550675056530e+03 2.4081586393145803e+03 1.1272112822438432e+03 -7.0016992799328079e+02 -3.3369650566632690e+03 -7.0700422077297953e+03 -1.2107834758023408e+04 -1.8446407786884876e+04 -2.5777422797636114e+04 -3.3514365287991590e+04 -4.0943523202026248e+04 -4.7426595022677502e+04 -5.2560668792200151e+04 -5.6241343986087384e+04 -5.8609842365753160e+04 -5.9957284475725392e+04 -6.0611394212416380e+04 -6.0856607412603218e+04 -6.0894337059580284e+04 -6.0862056854274946e+04 -6.0807404639051296e+04 -6.0742061382573767e+04 -6.0669859005463331e+04 -6.0594159601428968e+04 -6.0514199613321980e+04 -6.0429973580731195e+04 -6.0338327109412166e+04 -6.0240230212101727e+04 -6.0133881058775041e+04 -6.0017865730251258e+04 -5.9890467701041969e+04 -5.9749756265247110e+04 -5.9593545393486093e+04 -5.9419246648189095e+04 -5.9224392650631948e+04 -5.9005906003573808e+04 -5.8760617429819031e+04 -5.8485109981397320e+04 -5.8175861358803093e+04 -5.7829341472437285e+04 -5.7442213053045489e+04 -5.7012208247393275e+04 -5.6535731525034047e+04 -5.6012744381389733e+04 -5.5444459894955020e+04 -5.4835333180580164e+04 -5.4192948889481944e+04 -5.3531748025363049e+04 -5.2873740487448078e+04 -5.2251554216666547e+04 -5.1713017202726900e+04 -5.1325890461632567e+04 -5.1187221144292205e+04 -5.1436296231188557e+04 -5.2277528688915547e+04 -5.4020573813775052e+04 -5.7155977023245505e+04 -6.2505551137578434e+04 8.4622518290177286e+03 +5.6385501176056596e-03 1.0276739172029994e+05 2.9323638811450690e+05 6.1937585129564663e+05 1.0410358026214791e+06 1.4490342414897422e+06 1.6801421461834926e+06 1.6632572572620227e+06 1.5204081755922167e+06 1.3741036417258729e+06 1.2484725691831575e+06 1.1289867878123445e+06 1.0138196361985032e+06 9.0598656543502270e+05 8.0650624178060086e+05 7.1511028357277228e+05 6.3223191455293505e+05 5.5807664856877958e+05 4.9203255596033187e+05 4.3329931879099476e+05 3.8112511484121246e+05 3.3484612454855390e+05 2.9419941567868250e+05 2.6177106473678269e+05 2.4270805213527771e+05 2.2572908193298499e+05 2.0063911818940428e+05 1.7426971469107384e+05 1.5058098949293210e+05 1.2987825017668605e+05 1.1187241868072233e+05 9.6254750669362606e+04 8.2744817130666896e+04 7.1091138288992734e+04 6.1068636606764507e+04 5.2476075788031500e+04 4.5133699538730587e+04 3.8881114059307001e+04 3.3575365601577134e+04 2.9089212732946100e+04 2.5309565053251074e+04 2.1921434431299283e+04 1.9123585814838065e+04 1.6820026872258622e+04 1.4927085021144883e+04 1.3372158654696192e+04 1.2092614972904359e+04 1.1034810812050891e+04 1.0153210041700528e+04 9.4095739885851672e+03 8.7721288087951070e+03 8.2147562519091953e+03 7.7163005256618189e+03 7.2596700650692655e+03 6.8303435529387652e+03 6.4154637741159868e+03 6.0026547267987889e+03 5.5781323062402162e+03 5.1247175285734902e+03 4.6186232257650363e+03 4.0248415761072579e+03 3.2888739616481507e+03 2.3244681562946262e+03 9.9523774539136434e+02 -9.0286357771275414e+02 -3.6429905973667869e+03 -7.5227762031596885e+03 -1.2757998117457124e+04 -1.9343660083418978e+04 -2.6958788914866251e+04 -3.4994005133000843e+04 -4.2708346466680508e+04 -4.9439469761784931e+04 -5.4769495139002895e+04 -5.8590372933672152e+04 -6.1048905125887184e+04 -6.2447408978621221e+04 -6.3126142034941615e+04 -6.3380393701270470e+04 -6.3419251084326148e+04 -6.3385515249355376e+04 -6.3328550176166165e+04 -6.3260480896720888e+04 -6.3185279513747475e+04 -6.3106439867209083e+04 -6.3023162900557916e+04 -6.2935447844018599e+04 -6.2840001324825556e+04 -6.2737836973708494e+04 -6.2627078189380583e+04 -6.2506252467875311e+04 -6.2373572129582630e+04 -6.2227026390097584e+04 -6.2064337451464489e+04 -6.1882815195828887e+04 -6.1679882082597367e+04 -6.1452336515993033e+04 -6.1196877760712719e+04 -6.0909947239882931e+04 -6.0587876630313243e+04 -6.0226989453499045e+04 -5.9823808983829222e+04 -5.9375978766829860e+04 -5.8879746630807778e+04 -5.8335075746300441e+04 -5.7743229432333850e+04 -5.7108847558297581e+04 -5.6439829252338044e+04 -5.5751214226030388e+04 -5.5065923923285656e+04 -5.4417944043406802e+04 -5.3857078607958640e+04 -5.3453901062063836e+04 -5.3309481172015963e+04 -5.3568882847800844e+04 -5.4444993662330504e+04 -5.6260306914336812e+04 -5.9525704793928737e+04 -6.5097080229902116e+04 8.5667349369540716e+03 +5.6733018451039542e-03 1.0259778282524858e+05 2.9285642163596099e+05 6.1863794234144362e+05 1.0398478612123326e+06 1.4474497807280754e+06 1.6784124586455622e+06 1.6616834893750292e+06 1.5191190437799599e+06 1.3730899673618395e+06 1.2477044625241924e+06 1.1284453172394761e+06 1.0134843940428231e+06 9.0583378155670373e+05 8.0651136584867432e+05 7.1524906735907041e+05 6.3248130194019480e+05 5.5841580413127539e+05 4.9244307377606817e+05 4.3376504004007729e+05 3.8163191619544459e+05 3.3538176365648117e+05 2.9475422242429602e+05 2.6234615403222892e+05 2.4332821325539501e+05 2.2639784821718189e+05 2.0132342088675790e+05 1.7494768051483145e+05 1.5124268894966668e+05 1.3051723943680203e+05 1.1248385545696705e+05 9.6835052312661937e+04 8.3291488601613833e+04 7.1602625664289590e+04 6.1544193548581410e+04 5.2915640958636730e+04 4.5537784170425686e+04 3.9250699079428174e+04 3.3911807800355098e+04 2.9394159616168003e+04 2.5584877889135678e+04 2.2167144288334577e+04 1.9342108727729283e+04 1.7013808314782342e+04 1.5098538149488428e+04 1.3523611506918343e+04 1.2226265629567875e+04 1.1152689414635608e+04 1.0257146597796884e+04 9.5011712551934161e+03 8.8527393406277697e+03 8.2854633000101949e+03 7.7779044267279178e+03 7.3126757937656248e+03 6.8749381392736914e+03 6.4514859881817129e+03 6.0295412753811343e+03 5.5948205451327394e+03 5.1294804070665041e+03 4.6087899265828710e+03 3.9963324977224174e+03 3.2354186295859586e+03 2.2363313805801454e+03 8.5726039819249922e+02 -1.1138471841071450e+03 -3.9606278966835634e+03 -7.9917866000559125e+03 -1.3430629560477691e+04 -2.0271021028880834e+04 -2.8178937164681058e+04 -3.6521436187970467e+04 -4.4529503556790005e+04 -5.1516063632047757e+04 -5.7047849841063136e+04 -6.1013074298565734e+04 -6.3564295106469952e+04 -6.5015362281393587e+04 -6.5719439094454618e+04 -6.5982989514224450e+04 -6.6023001361677103e+04 -6.5987762176093413e+04 -6.5928411124907507e+04 -6.5857530387150167e+04 -6.5779236261554805e+04 -6.5697158298797498e+04 -6.5610460773880448e+04 -6.5519147781535212e+04 -6.5419782567044596e+04 -6.5313423766634194e+04 -6.5198117671460612e+04 -6.5072331364575759e+04 -6.4934203791536762e+04 -6.4781641587806531e+04 -6.4612272313524329e+04 -6.4423301038600155e+04 -6.4212036561598252e+04 -6.3975149236687772e+04 -6.3709202764346410e+04 -6.3410492518223757e+04 -6.3075199592433084e+04 -6.2699496548497926e+04 -6.2279762841903212e+04 -6.1813550691911907e+04 -6.1296946337842819e+04 -6.0729914702709430e+04 -6.0113770913171691e+04 -5.9453345362788437e+04 -5.8756861475455444e+04 -5.8039976362615780e+04 -5.7326551465426812e+04 -5.6651972671385869e+04 -5.6068081676625028e+04 -5.5648352187875673e+04 -5.5498002171720735e+04 -5.5768052850200991e+04 -5.6680130991147940e+04 -5.8569968717948752e+04 -6.1969419929895645e+04 -6.7769521778796974e+04 8.6725071691317917e+03 +5.7082677557768104e-03 1.0242761565020759e+05 2.9247609861127310e+05 6.1789998135096731e+05 1.0386600766685660e+06 1.4458650713472017e+06 1.6766810567235788e+06 1.6601059201798225e+06 1.5178240585867295e+06 1.3720686097679641e+06 1.2469270112808917e+06 1.1278930672497163e+06 1.0131372100368489e+06 9.0566816633078677e+05 8.0650303153173742e+05 7.1537402116689493e+05 6.3271671349371725e+05 5.5874102200466383e+05 4.9283984564075468e+05 4.3421733593081398e+05 3.8212571915588988e+05 3.3590491712504590e+05 2.9529710893353407e+05 2.6290978153990797e+05 2.4393695081616647e+05 2.2705523077731428e+05 2.0199689928393794e+05 1.7561564551852245e+05 1.5189527346697147e+05 1.3114801095571037e+05 1.1308796256581068e+05 9.7408888240890417e+04 8.3832522035588307e+04 7.2109256705415930e+04 6.2015622415162856e+04 5.3351747426098031e+04 4.5939016966667667e+04 3.9617974635781400e+04 3.4246417846717442e+04 2.9697687267441601e+04 2.5859121739221235e+04 2.2412094611532066e+04 1.9560116298350527e+04 1.7207258176002466e+04 1.5269788398149376e+04 1.3674940875130964e+04 1.2359828877861497e+04 1.1270479415363468e+04 1.0360961984638030e+04 9.5925888492770919e+03 8.9330903602884864e+03 8.3558129798890150e+03 7.8390367526409700e+03 7.3650790420899175e+03 6.9187798712126114e+03 6.4865800236994201e+03 6.0552905290964154e+03 5.6101153055176128e+03 5.1325268692727668e+03 4.5968209749050184e+03 3.9651269389744170e+03 3.1784934346290770e+03 2.1436269207731702e+03 7.1312053511403121e+02 -1.3333335527676040e+03 -4.2901666859685420e+03 -8.4774680762085136e+03 -1.4126258584134444e+04 -2.1229181114114268e+04 -2.9438735394237534e+04 -3.8097705912153200e+04 -4.6408208881264211e+04 -5.3657733255755003e+04 -5.9397200224340057e+04 -6.3510993811857836e+04 -6.6157607991474186e+04 -6.7662768161196887e+04 -6.8392922509847456e+04 -6.8666036636754070e+04 -6.8707229941578553e+04 -6.8670438612108439e+04 -6.8608626908926788e+04 -6.8534847487070394e+04 -6.8453364926370123e+04 -6.8367948530187903e+04 -6.8277724709576010e+04 -6.8182702601385623e+04 -6.8079297573028904e+04 -6.7968614682879474e+04 -6.7848620729585382e+04 -6.7717720516966932e+04 -6.7573977348410044e+04 -6.7415212726226862e+04 -6.7238956634838687e+04 -6.7042306134872852e+04 -6.6822452792399054e+04 -6.6575934979668498e+04 -6.6299176641473794e+04 -6.5988322588986310e+04 -6.5639398680250059e+04 -6.5248421849826198e+04 -6.4811623281455330e+04 -6.4326461086178635e+04 -6.3788854863421460e+04 -6.3198771367829569e+04 -6.2557579133306710e+04 -6.1870304967375174e+04 -6.1145506613028716e+04 -6.0399477662909914e+04 -5.9657048600747505e+04 -5.8955048815308503e+04 -5.8347420604013627e+04 -5.7910627597236038e+04 -5.7754164161993256e+04 -5.8035192971868528e+04 -5.8984350088785737e+04 -6.0951015631077971e+04 -6.4488663366975430e+04 -7.0524560948892075e+04 8.7795844137017575e+03 +5.7434491696861526e-03 1.0225688314804601e+05 2.9209540142775001e+05 6.1716196437820431e+05 1.0374724401672803e+06 1.4442801166240352e+06 1.6749480038470684e+06 1.6585245999208128e+06 1.5165232957400782e+06 1.3710396756893832e+06 1.2461403434700747e+06 1.1273301780579614e+06 1.0127782343851848e+06 9.0548987563518889e+05 8.0648139640317869e+05 7.1548530058231077e+05 6.3293829946504359e+05 5.5905244479291642e+05 4.9322300459727726e+05 4.3465632843470766e+05 3.8260663353721437e+05 3.3641568184947578e+05 2.9582815885620454e+05 2.6346201846007298e+05 2.4453432573263685e+05 2.2770127854826802e+05 2.0265958627423135e+05 1.7627362549829402e+05 1.5253874244514934e+05 1.3177054895080780e+05 1.1368471050740176e+05 9.7976216872729390e+04 8.4367865514177698e+04 7.2610970953899028e+04 6.2482856007281909e+04 5.3784323008832260e+04 4.6337322441971533e+04 3.9982863505356174e+04 3.4579118207458603e+04 2.9999719110161466e+04 2.6132222072491819e+04 2.2656214064081141e+04 1.9777541174207414e+04 1.7400313623453210e+04 1.5440777733764568e+04 1.3826093551069809e+04 1.2493256118787152e+04 1.1388136388840609e+04 1.0464615328779542e+04 9.6837886868256664e+03 9.0131457206460254e+03 8.4257701856378553e+03 7.8996625331861396e+03 7.4168440702633261e+03 6.9618313153426352e+03 6.5207057646108460e+03 6.0798585566825905e+03 5.6239674509270171e+03 5.1338007592774557e+03 4.5826507072127442e+03 3.9311461790273538e+03 3.1180013771646973e+03 2.0462316758187935e+03 5.6265725284436587e+02 -1.5615383565445568e+03 -4.6319004355611614e+03 -8.9802201001833000e+03 -1.4845420631924704e+04 -2.2218837923504270e+04 -3.0739059572503502e+04 -3.9723870725004970e+04 -4.8345686438823053e+04 -5.5865845286097850e+04 -6.1819023936250182e+04 -6.6085687705817254e+04 -6.8830450068180042e+04 -7.0391261048570916e+04 -7.1148240070828761e+04 -7.1431187523796645e+04 -7.1473589532947459e+04 -7.1435196184135144e+04 -7.1370847589450845e+04 -7.1294080455115254e+04 -7.1209311798284223e+04 -7.1120454794684629e+04 -7.1026596769589392e+04 -7.0927752082322622e+04 -7.0820183634442204e+04 -7.0705044352095574e+04 -7.0580219107169425e+04 -7.0444048520179000e+04 -7.0294517938185265e+04 -7.0129361124588657e+04 -6.9946007494610123e+04 -6.9741442836952017e+04 -6.9512737839520982e+04 -6.9256294880616842e+04 -6.8968393871458422e+04 -6.8645024455355306e+04 -6.8282052505028420e+04 -6.7875334565678306e+04 -6.7420949004656213e+04 -6.6916256986012275e+04 -6.6357006314197439e+04 -6.5743165656773563e+04 -6.5076158587067701e+04 -6.4361214337356476e+04 -6.3607235198974187e+04 -6.2831170718706162e+04 -6.2058850064790946e+04 -6.1328590329869847e+04 -6.0696498631337316e+04 -6.0242120026424403e+04 -6.0079356115242030e+04 -6.0371698943706426e+04 -6.1359069513302362e+04 -6.3404913509454338e+04 -6.7084986038683885e+04 -7.3363893838584627e+04 8.8879827543129413e+03 +5.7788474150297616e-03 1.0208557646540043e+05 2.9171433350114059e+05 6.1642388105790887e+05 1.0362849534210052e+06 1.4426949376095450e+06 1.6732133079955208e+06 1.6569395888715112e+06 1.5152168457906875e+06 1.3700032717688414e+06 1.2453445838898350e+06 1.1267567885793762e+06 1.0124076159195160e+06 9.0529906366145145e+05 8.0644661639658711e+05 7.1558305969191191e+05 6.3314620879220124e+05 5.5935021406357165e+05 4.9359268292215059e+05 4.3508213900642440e+05 3.8307476891515357e+05 3.3691415475244366e+05 2.9634745612584212e+05 2.6400293653865939e+05 2.4512039977114982e+05 2.2833604166276730e+05 2.0331151625567870e+05 1.7692163800062859e+05 1.5317309722571110e+05 1.3238483971533715e+05 1.1427407193595007e+05 9.8536998804182804e+04 8.4897469266733489e+04 7.3107710021025239e+04 6.2945829074147143e+04 5.4213297314589829e+04 4.6732626710406839e+04 4.0345289851300251e+04 3.4909832506313986e+04 3.0300179486728834e+04 2.6404105038119029e+04 2.2899431739863201e+04 1.9994316199607569e+04 1.7592911810626778e+04 1.5611447927154548e+04 1.3977015982275841e+04 1.2626498296383495e+04 1.1505615374671726e+04 1.0568065174920395e+04 9.7747320802086560e+03 9.0928686665954538e+03 8.4952992081215634e+03 7.9597462010220925e+03 7.4679345424709009e+03 7.0040544334214692e+03 6.5538224675197498e+03 6.1032007598466880e+03 5.6363271168619640e+03 5.1332451051272119e+03 4.5662125200091550e+03 3.8943103834384015e+03 3.0538440995972974e+03 1.9440208410824091e+03 4.0570745872302882e+02 -1.7986801220919006e+03 -4.9861263310858294e+03 -9.5004468887293242e+03 -1.5588657020543460e+04 -2.3240696017556962e+04 -3.2080793616977950e+04 -4.1400995770693989e+04 -5.0343169520376432e+04 -5.8141776053530870e+04 -6.4314808547163862e+04 -6.8738722283526411e+04 -7.1584437775285434e+04 -7.3202485563392562e+04 -7.3987049767966149e+04 -7.4280104827630261e+04 -7.4323743031266189e+04 -7.4283696695240695e+04 -7.4216733393074217e+04 -7.4136887703981556e+04 -7.4048733309110481e+04 -7.3956331454531755e+04 -7.3858729131181681e+04 -7.3755946104657516e+04 -7.3644088129129974e+04 -7.3524357473542434e+04 -7.3394554599729323e+04 -7.3252954001787788e+04 -7.3097460709902385e+04 -7.2925718090132068e+04 -7.2735051933873765e+04 -7.2522333429531413e+04 -7.2284508667483140e+04 -7.2017839938546153e+04 -7.1718458755990781e+04 -7.1382194896802903e+04 -7.1004749402779911e+04 -7.0581813570928382e+04 -7.0109308315680872e+04 -6.9584494957764662e+04 -6.9002944247434105e+04 -6.8364626847727399e+04 -6.7671023036785089e+04 -6.6927570604208100e+04 -6.6143526825889174e+04 -6.5336517070236638e+04 -6.4533399431510727e+04 -6.3774023804134216e+04 -6.3116727644112303e+04 -6.2644230791262198e+04 -6.2474975560274179e+04 -6.2778975094605521e+04 -6.3805716561293048e+04 -6.5933137238942494e+04 -6.9759948432808567e+04 -7.6289226994325058e+04 8.9977184725110055e+03 +5.8144638281914162e-03 1.0191368983841002e+05 2.9133288153963169e+05 6.1568572889364010e+05 1.0350976109224560e+06 1.4411095339964861e+06 1.6714770155029322e+06 1.6553509536580045e+06 1.5139047938299687e+06 1.3689595041191352e+06 1.2445398539311315e+06 1.1261730361803365e+06 1.0120255019323124e+06 9.0509588295760937e+05 8.0639884572631225e+05 7.1566745103207731e+05 6.3334058909831173e+05 5.5963447032329766e+05 4.9394901209804392e+05 4.3549488856005768e+05 3.8353023459216784e+05 3.3740043274776987e+05 2.9685508491882257e+05 2.6453260802029056e+05 2.4569523549965484e+05 2.2895957139718387e+05 2.0395272507305333e+05 1.7755970226583531e+05 1.5379834103623309e+05 1.3299087156718105e+05 1.1485602161347032e+05 9.9091196768737223e+04 8.5421285638164729e+04 7.3599417563457682e+04 6.3404478297292400e+04 5.4638601732997231e+04 4.7124857486510358e+04 4.0705179231930699e+04 3.5238485539809713e+04 3.0598993680691005e+04 2.6674697492582767e+04 2.3141677194399381e+04 2.0210374448777260e+04 1.7784989910543954e+04 1.5781740585886455e+04 1.4127654302375659e+04 1.2759505924514075e+04 1.1622870900213729e+04 1.0671269504534044e+04 9.8653797529520380e+03 9.1722218464682228e+03 8.5643637436511453e+03 8.0192515984144211e+03 7.5183135323129409e+03 7.0454105870263611e+03 6.5858887658956073e+03 6.1252718772026237e+03 5.6471437147062998e+03 5.1308021227996414e+03 4.5474388739845263e+03 3.8545386087065062e+03 2.9859218915284814e+03 1.8368679147168598e+03 2.4210587956424399e+02 -2.0449802158528889e+03 -5.3531452489597068e+03 -1.0038557363064367e+04 -1.6356514864825374e+04 -2.4295466813253563e+04 -3.3464829217775106e+04 -4.3130154679142768e+04 -5.2401900407091489e+04 -6.0486911208171907e+04 -6.6886051147726976e+04 -7.1471673482744853e+04 -7.4421197246201104e+04 -7.6098096045808823e+04 -7.6911019317591621e+04 -7.7214460920757861e+04 -7.7259363040846292e+04 -7.7217611647633370e+04 -7.7147954235064841e+04 -7.7064937323561462e+04 -7.6973295556349171e+04 -7.6877242525604728e+04 -7.6775783612610379e+04 -7.6668944176015706e+04 -7.6552668047612140e+04 -7.6428208343734514e+04 -7.6293278582814077e+04 -7.6146085151278516e+04 -7.5984450354252505e+04 -7.5805924449033439e+04 -7.5607726487829175e+04 -7.5386609663758907e+04 -7.5139391676109502e+04 -7.4862190553038265e+04 -7.4550984958423127e+04 -7.4201440010365244e+04 -7.3809086977834042e+04 -7.3369446953593841e+04 -7.2878278670055428e+04 -7.2332740650865002e+04 -7.1728221227366186e+04 -7.1064693142507676e+04 -7.0343695078004050e+04 -6.9570879635589896e+04 -6.8755869720348783e+04 -6.7916986786029433e+04 -6.7082148698343881e+04 -6.6292784151584681e+04 -6.5609527766508298e+04 -6.5118369384642720e+04 -6.4942428180796909e+04 -6.5258433948143167e+04 -6.6325726858034745e+04 -6.8537170311566486e+04 -7.2515120142896922e+04 -7.9302276920750955e+04 9.1088080501674813e+03 +5.8502997537913468e-03 1.0174121278312719e+05 2.9095103712942882e+05 6.1494750015589572e+05 1.0339104037914902e+06 1.4395239109146914e+06 1.6697391366437050e+06 1.6537587570029623e+06 1.5125872261005705e+06 1.3679084743889270e+06 1.2437262733909967e+06 1.1255790562258223e+06 1.0116320377611155e+06 9.0488048436494067e+05 8.0633823688363028e+05 7.1573862557570427e+05 6.3352158670481876e+05 5.5990535299605969e+05 4.9429212278423295e+05 4.3589469744064764e+05 3.8397313956345682e+05 3.3787461270380806e+05 2.9735112961516849e+05 2.6505110560754960e+05 2.4625889623881079e+05 2.2957192011590244e+05 2.0458324996156717e+05 1.7818783917066111e+05 1.5441447893589531e+05 1.3358863479697544e+05 1.1543053636342821e+05 9.9638775596770982e+04 8.5939269055279161e+04 7.4086039257928147e+04 6.3858742273412230e+04 5.5060169426913308e+04 4.7513944084954412e+04 4.1062458608007684e+04 3.5565003291839945e+04 3.0896087937336262e+04 2.6943927025229124e+04 2.3382880474501839e+04 2.0425649257979607e+04 1.7976485148635682e+04 1.5951597186371626e+04 1.4277954361043006e+04 1.2892229113649406e+04 1.1739857003515801e+04 1.0774185754745768e+04 9.9556918547639816e+03 9.2511673237049254e+03 8.6329269030654268e+03 8.0781419843145650e+03 7.5679435285126365e+03 7.0858605423628369e+03 6.6168626743689747e+03 6.1460259884131765e+03 5.6563659358149025e+03 5.1264132203655890e+03 4.5262612984272600e+03 3.8117488070378772e+03 2.9141336951858057e+03 1.7246447043264343e+03 7.1685070858740886e+01 -2.3006628295126247e+03 -5.7332617311104077e+03 -1.0594965104002738e+04 -1.7149547001248746e+04 -2.5383868462214963e+04 -3.4892065659047730e+04 -4.4912429323999771e+04 -5.4523130065412326e+04 -6.2902645357960057e+04 -6.9534257941800606e+04 -7.4286126436365506e+04 -7.7342363847668545e+04 -7.9079756083333705e+04 -7.9921825682613664e+04 -8.0235937414209300e+04 -8.0282131392890456e+04 -8.0238621760844893e+04 -8.0166189237839571e+04 -8.0079906600664166e+04 -7.9984673822989484e+04 -7.9884861197745238e+04 -7.9779431193834083e+04 -7.9668414953208237e+04 -7.9547589515878411e+04 -7.9418260379494488e+04 -7.9278051536523373e+04 -7.9125099244772704e+04 -7.8957140629252506e+04 -7.8771630073638036e+04 -7.8565676714116009e+04 -7.8335912286961466e+04 -7.8079022231810697e+04 -7.7790976057182575e+04 -7.7467595038274143e+04 -7.7104374747715294e+04 -7.6696671642267480e+04 -7.6239831557035403e+04 -7.5729446220318685e+04 -7.5162568346297761e+04 -7.4534398377739592e+04 -7.3844911223396397e+04 -7.3095705700647901e+04 -7.2292655601209961e+04 -7.1445760313577732e+04 -7.0574058039339157e+04 -6.9706557868014977e+04 -6.8886314196634834e+04 -6.8176326952037372e+04 -6.7665953070161864e+04 -6.7483127410266694e+04 -6.7811495815222093e+04 -6.8920543943659781e+04 -7.1218504398214907e+04 -7.5352079415884247e+04 -8.2404769585877526e+04 9.2212681719388438e+03 +5.8863565447370000e-03 1.0156813775359397e+05 2.9056879375917476e+05 6.1420918059846573e+05 1.0327233456105322e+06 1.4379380731852453e+06 1.6679997356985847e+06 1.6521630507939328e+06 1.5112642199367930e+06 1.3668502835766664e+06 1.2429039616000706e+06 1.1249749821307217e+06 1.0112273665441258e+06 9.0465301691567863e+05 8.0626494073154684e+05 7.1579673275366414e+05 6.3368934664736874e+05 5.6016300039974775e+05 4.9462214478306618e+05 4.3628168540181784e+05 3.8440359248754708e+05 3.3833679140820180e+05 2.9783567475972866e+05 2.6555850241726544e+05 2.4681144601394373e+05 2.3017314121916567e+05 2.0520312949047939e+05 1.7880607117264997e+05 1.5502151775980587e+05 1.3417812161689156e+05 1.1599759502395663e+05 1.0017970217491350e+05 8.6451375993284237e+04 7.4567522774749552e+04 6.4308561496188806e+04 5.5477935322234516e+04 4.7899817418355378e+04 4.1417056348503516e+04 3.5889312946463033e+04 3.1191389482952407e+04 2.7211721982676801e+04 2.3622972146711661e+04 2.0640074256387503e+04 1.8167334834718906e+04 1.6120959105281245e+04 1.4427861753477204e+04 1.3024617597481800e+04 1.1856527256356085e+04 1.0876770837434506e+04 1.0045627976887359e+04 9.3296665889265805e+03 8.7009512210266603e+03 8.1363800416756258e+03 7.6167864408473524e+03 7.1253644753655080e+03 6.6467015933390812e+03 6.1654165184790136e+03 5.6639417557443367e+03 5.1200190023296091e+03 4.5026103957494770e+03 3.7658578312935542e+03 2.8383771110537464e+03 1.6072213338894487e+03 -1.0572457368514810e+02 -2.5659549649805745e+03 -6.1267839590229114e+03 -1.1170088306124162e+04 -1.7968311909921526e+04 -2.6506625727186525e+04 -3.6363409637958386e+04 -4.6748909577841907e+04 -5.6708117838740800e+04 -6.5390381703738341e+04 -7.2260943835774640e+04 -7.7183675028903541e+04 -8.0349581715416076e+04 -8.2149138033108306e+04 -8.3021154589787548e+04 -8.3346224672528886e+04 -8.3393738659635055e+04 -8.3348416486167407e+04 -8.3273126245805164e+04 -8.3183481533962127e+04 -8.3084552093601917e+04 -8.2980869351321482e+04 -8.2871351534175337e+04 -8.2756035760097613e+04 -8.2630527313670042e+04 -8.2496185637591829e+04 -8.2350542565377094e+04 -8.2191662166387192e+04 -8.2017193882714433e+04 -8.1824493405707806e+04 -8.1610556717363419e+04 -8.1371890568369403e+04 -8.1105044195160270e+04 -8.0805834246876824e+04 -8.0469919982813561e+04 -8.0092622448684051e+04 -7.9669118151938907e+04 -7.9194572518665314e+04 -7.8664405357143361e+04 -7.8075560501892993e+04 -7.7423044930641758e+04 -7.6706835806022616e+04 -7.5928593846385003e+04 -7.5094420535359779e+04 -7.4214702809315117e+04 -7.3309216681110323e+04 -7.2408094526327593e+04 -7.1556064257754188e+04 -7.0818560570981295e+04 -7.0288406472616960e+04 -7.0098494023538471e+04 -7.0439588384009010e+04 -7.1591618855939450e+04 -7.3978638917422504e+04 -7.8272412695923180e+04 -8.5598439922057893e+04 9.3351157277542425e+03 +5.9226355622741126e-03 1.0139445549561559e+05 2.9018614444134891e+05 6.1347077301245613e+05 1.0315364180347391e+06 1.4363520455084438e+06 1.6662588223847346e+06 1.6505638874064558e+06 1.5099358561064883e+06 1.3657850349204547e+06 1.2420730365649422e+06 1.1243609452055315e+06 1.0108116293149390e+06 9.0441362777222239e+05 8.0617910658271669e+05 7.1584192049417971e+05 6.3384401267839747e+05 5.6040754973614123e+05 4.9493920700814697e+05 4.3665597157923016e+05 3.8482170165369503e+05 3.3878706553412415e+05 2.9830880502422864e+05 2.6605487193965848e+05 2.4735294950844461e+05 2.3076328908985638e+05 2.0581240350872875e+05 1.7941442225426019e+05 1.5561946606637724e+05 1.3475932611017587e+05 1.1655717840157296e+05 1.0071394540528631e+05 8.6957564940770681e+04 7.5043817750752700e+04 6.4753878336719521e+04 5.5891836096778126e+04 4.8282409994331872e+04 4.1768902234946589e+04 3.6211342899379175e+04 3.1484826542270883e+04 2.7478011491669331e+04 2.3861883324479790e+04 2.0853583396199727e+04 1.8357476394217632e+04 1.6289767650509752e+04 1.4577321849740350e+04 1.3156620759438927e+04 1.1972834787262889e+04 1.0978981158551849e+04 1.0135147167689871e+04 9.4076805722033623e+03 8.7683986656861925e+03 8.1939278850442588e+03 7.6648036063296859e+03 7.1638819769506135e+03 6.6753623136797078e+03 6.1833962422320947e+03 5.6698184386638241e+03 5.1115592741174669e+03 4.4764158461996776e+03 3.7167814400950710e+03 2.7585484036840180e+03 1.4844662509068405e+03 -2.9029481228122944e+02 -2.8410864189177619e+03 -6.5340237270785728e+03 -1.1764349730887983e+04 -1.8813373635239688e+04 -2.7664469856458429e+04 -3.7879775081551263e+04 -4.8640693064764695e+04 -5.8958131136033997e+04 -6.7951531671369929e+04 -7.5067632024926192e+04 -8.0165921449643036e+04 -8.3444503285471292e+04 -8.5307922542488435e+04 -8.6210700043081451e+04 -8.6547021324717382e+04 -8.6595883665577159e+04 -8.6548693517783977e+04 -8.6470461337023866e+04 -8.6377356346176501e+04 -8.6274622566653154e+04 -8.6166957070494929e+04 -8.6053232485541157e+04 -8.5933492101950964e+04 -8.5803164389699057e+04 -8.5663664330531508e+04 -8.5512428915224154e+04 -8.5347447925763161e+04 -8.5166280570650575e+04 -8.4966180976422751e+04 -8.4744028670562620e+04 -8.4496201821863899e+04 -8.4219109444937305e+04 -8.3908410906594800e+04 -8.3559598734649553e+04 -8.3167814371093715e+04 -8.2728049138960399e+04 -8.2235282805229654e+04 -8.1684758248300175e+04 -8.1073307294234357e+04 -8.0395737772620298e+04 -7.9652029189504843e+04 -7.8843905963492638e+04 -7.7977703896216612e+04 -7.7064208748300720e+04 -7.6123955809707593e+04 -7.5188233417516807e+04 -7.4303491727459725e+04 -7.3537670994976681e+04 -7.2987161165781537e+04 -7.2789955725559601e+04 -7.3144146306239636e+04 -7.4340409710399297e+04 -7.6819080601342968e+04 -8.1277714165568221e+04 -8.8885031324204829e+04 9.4503678153354831e+03 +5.9591381760381026e-03 1.0122015825273705e+05 2.8980307487012522e+05 6.1273226542725507e+05 1.0303496217749924e+06 1.4347658283078759e+06 1.6645164217522386e+06 1.6489613345358223e+06 1.5086022205826947e+06 1.3647128281791671e+06 1.2412336144982178e+06 1.1237370750750613e+06 1.0103849653264068e+06 9.0416246223898383e+05 8.0608088216529100e+05 7.1587433523741760e+05 6.3398572725268221e+05 5.6063913708502392e+05 4.9524343746175722e+05 4.3701767446801293e+05 3.8522757495589479e+05 3.3922553160642041e+05 2.9877060517214751e+05 2.6654028799772647e+05 2.4788347201804491e+05 2.3134241904289692e+05 2.0641111308993262e+05 1.8001291786859735e+05 1.5620833408299592e+05 1.3533224417977623e+05 1.1710926922379932e+05 1.0124147616363141e+05 8.7457796365492148e+04 7.5514875761343996e+04 6.5194637023664473e+04 5.6301810167678559e+04 4.8661655910624555e+04 4.2117927464453809e+04 3.6531022767854600e+04 3.1776328354857240e+04 2.7742725480434987e+04 2.4099545694016844e+04 2.1066110981413090e+04 1.8546847398453279e+04 1.6457964091414076e+04 1.4726279823630970e+04 1.3288187659080639e+04 1.2088732304650055e+04 1.1080772637542705e+04 1.0224207948524479e+04 9.4851696556396946e+03 8.8352306485398549e+03 8.2507470684499858e+03 7.7119557956456865e+03 7.2013720584798193e+03 6.7028010216678194e+03 6.1999172889427691e+03 5.6739425419098934e+03 5.1009730466883575e+03 4.4476064127426471e+03 3.6644343031062112e+03 2.6745425077243121e+03 1.3562462337923903e+03 -4.8219954491900637e+02 -3.1262897668529085e+03 -6.9552964153337061e+03 -1.2378176658903480e+04 -1.9685301705337853e+04 -2.8858138456925306e+04 -3.9442082961529435e+04 -5.0588884910887296e+04 -6.1274445118593969e+04 -7.0587514540874225e+04 -7.7955853577029775e+04 -8.3234475743062809e+04 -8.6628788823385315e+04 -8.8557798064778486e+04 -8.9492163834187348e+04 -8.9840033772772847e+04 -8.9890272994744650e+04 -8.9841158300784853e+04 -8.9759898331585166e+04 -8.9663232993186015e+04 -8.9556585164363263e+04 -8.9444822153450703e+04 -8.9326769603840876e+04 -8.9202477177190129e+04 -8.9067191374277114e+04 -8.8922384339633150e+04 -8.8765395487406378e+04 -8.8594138173430227e+04 -8.8406078773693866e+04 -8.8198366923407521e+04 -8.7967762333063889e+04 -8.7710510925870156e+04 -8.7422877399493183e+04 -8.7100359332730892e+04 -8.6738277716971410e+04 -8.6331589218435984e+04 -8.5875094641679549e+04 -8.5363582745461172e+04 -8.4792114374397570e+04 -8.4157406157833248e+04 -8.3454060987430523e+04 -8.2682060803691260e+04 -8.1843195558666965e+04 -8.0944042123130959e+04 -7.9995796570488732e+04 -7.9019775338384570e+04 -7.8048456017017204e+04 -7.7130060650348634e+04 -7.6335107178892547e+04 -7.5763655257513688e+04 -7.5558946737627615e+04 -7.5926610781990850e+04 -7.7168381277816981e+04 -7.9741343059395804e+04 -8.4369585283402950e+04 -9.2266295144355128e+04 9.5670417427457014e+03 +5.9958657641057773e-03 1.0104523597175494e+05 2.8941958561709477e+05 6.1199364814108401e+05 1.0291629672566004e+06 1.4331794199683028e+06 1.6627725759793806e+06 1.6473554404395160e+06 1.5072633760201645e+06 1.3636337601165266e+06 1.2403858116501307e+06 1.1231035003004486e+06 1.0099475122220312e+06 9.0389966385111550e+05 8.0597041352378158e+05 7.1589412193979952e+05 6.3411463149306970e+05 5.6085789740217198e+05 4.9553496322077524e+05 4.3736691189689015e+05 3.8562131986508344e+05 3.3965228597140562e+05 2.9922116002449102e+05 2.6701482470835646e+05 2.4840307940535020e+05 2.3191058727466871e+05 2.0699930047983312e+05 1.8060158488554513e+05 1.5678813365342174e+05 1.3589687349823149e+05 1.1765385209365813e+05 1.0176226725819379e+05 8.7952032678205680e+04 7.5980650292175138e+04 6.5630783621707160e+04 5.6707797677995528e+04 4.9037490849270456e+04 4.2464064651229412e+04 3.6848283399282642e+04 3.2065825189790266e+04 2.8005794698974027e+04 2.4335891538939501e+04 2.1277591695602045e+04 1.8735385594076863e+04 1.6625489688449725e+04 1.4874680681102935e+04 1.3419267058260260e+04 1.2204172119817753e+04 1.1182100726923225e+04 1.0312768329740014e+04 9.5620936862722847e+03 8.9014080346597621e+03 8.3067985934712469e+03 7.7582032197673898e+03 7.2377931574421218e+03 6.7289733040516485e+03 6.2149311471274104e+03 5.6762599206683453e+03 5.0881985413021030e+03 4.4161099460031792e+03 3.6087300064414271e+03 2.5862530340668468e+03 1.2224263994343355e+03 -6.8161480295767433e+02 -3.4218003469291193e+03 -7.3909209617104625e+03 -1.3012000841450346e+04 -2.0584671050339068e+04 -3.0088375365567943e+04 -4.1051261107533304e+04 -5.2594597492445071e+04 -6.3658342383635878e+04 -7.3299757073306871e+04 -8.0927147013232650e+04 -8.6390955356911843e+04 -8.9904105950745899e+04 -9.1900460374139104e+04 -9.2867255051106200e+04 -9.3226975697610556e+04 -9.3278620496935124e+04 -9.3227523537236950e+04 -9.3143148298084867e+04 -9.3042820670749366e+04 -9.2932147040125128e+04 -9.2816169620412184e+04 -9.2693665657407371e+04 -9.2564691386630002e+04 -9.2424306089232297e+04 -9.2274040726295076e+04 -9.2111134350403401e+04 -9.1933421712935946e+04 -9.1738273710468915e+04 -9.1522732505621869e+04 -9.1283434567240693e+04 -9.1016489840712893e+04 -9.0718014535985320e+04 -9.0383339854309888e+04 -9.0007610356521473e+04 -8.9585592664744763e+04 -8.9111891632008512e+04 -8.8581099560559291e+04 -8.7988090062246250e+04 -8.7329461322403469e+04 -8.6599605397049032e+04 -8.5798506754285700e+04 -8.4928022746798481e+04 -8.3994978190744136e+04 -8.3010991174649869e+04 -8.1998181560761746e+04 -8.0990250101955273e+04 -8.0037241298618872e+04 -7.9212324241155919e+04 -7.8619332972819451e+04 -7.8406907381889701e+04 -7.8788429141759989e+04 -8.0077004559641704e+04 -8.2746946339400296e+04 -8.7549634320230398e+04 -9.5743990184355207e+04 9.6851550309718896e+03 +6.0328197130473608e-03 1.0086968135539191e+05 2.8903565828914917e+05 6.1125492041609134e+05 1.0279764166052598e+06 1.4315928351919861e+06 1.6610273028277154e+06 1.6457462521726077e+06 1.5059194007932344e+06 1.3625479255117867e+06 1.2395297414626735e+06 1.1224603474326418e+06 1.0094994060598108e+06 9.0362537447765202e+05 8.0584784495707147e+05 7.1590142404826940e+05 6.3423086515586986e+05 5.6106396451685100e+05 4.9581391043048236e+05 4.3770380100791604e+05 3.8600304340365867e+05 3.4006742476422450e+05 2.9966055442378996e+05 2.6747855644307222e+05 2.4891183805689958e+05 2.3246785081339505e+05 2.0757700904355379e+05 1.8118045153811752e+05 1.5735887818530234e+05 1.3645321345776183e+05 1.1819091344227406e+05 1.0227629338831645e+05 8.8440238197424362e+04 7.6441096709542704e+04 6.6062266009526516e+04 5.7109740482129688e+04 4.9409852069593282e+04 4.2807247826750594e+04 3.7163056878216201e+04 3.2353248359065547e+04 2.8267150737731372e+04 2.4570853763764862e+04 2.1487960628619225e+04 1.8923028931622808e+04 1.6792285722119803e+04 1.5022469288348415e+04 1.3549807447036430e+04 1.2319106170069714e+04 1.1282920431940431e+04 1.0400785826932388e+04 9.6384119890880684e+03 8.9668911530261685e+03 8.3620429175789013e+03 7.8035055367598188e+03 7.2731031432457557e+03 6.7538341532741297e+03 6.2283886694360262e+03 5.6767157327809718e+03 5.0731731943907125e+03 4.3818533894185703e+03 3.5495810582058293e+03 2.4935722761627658e+03 1.0828702109452074e+03 -8.8871873849093276e+02 -3.7278562433205070e+03 -7.8412198337282043e+03 -1.3666258451135371e+04 -2.1512061919682066e+04 -3.1355930519599340e+04 -4.2708244018488163e+04 -5.4658950182601024e+04 -6.6111112647283881e+04 -7.6089693136102942e+04 -8.3983057887709889e+04 -8.9636984688025288e+04 -9.3272129169840147e+04 -9.5337612077522121e+04 -9.6337689584337291e+04 -9.6709567563285673e+04 -9.6762646790798404e+04 -9.6709508689599825e+04 -9.6621929057651709e+04 -9.6517835319319129e+04 -9.6403022083764590e+04 -9.6282711219516306e+04 -9.6155630133639352e+04 -9.6021841840969500e+04 -9.5876213055779954e+04 -9.5720335240350716e+04 -9.5551344249616057e+04 -9.5366994012105657e+04 -9.5164557249521851e+04 -9.4940965616450107e+04 -9.4692728852135915e+04 -9.4415817124243535e+04 -9.4106193907519919e+04 -9.3759019351950745e+04 -9.3369256604287628e+04 -9.2931476877832029e+04 -9.2440083541415894e+04 -9.1889466892715616e+04 -9.1274308016608265e+04 -9.0591083347724998e+04 -8.9833968100934697e+04 -8.9002949366397777e+04 -8.8099953798882023e+04 -8.7132061162349622e+04 -8.6111323476901278e+04 -8.5060686714111333e+04 -8.4015109320388307e+04 -8.3026509746089418e+04 -8.2170783042082359e+04 -8.1555644235748550e+04 -8.1335283663901515e+04 -8.1731054427125360e+04 -8.3067756361927241e+04 -8.5837416487117123e+04 -9.0819475892968403e+04 -9.9319882186107934e+04 9.8047254165367503e+03 +6.0700014179788384e-03 1.0069348438106560e+05 2.8865129125050304e+05 6.1051606437636842e+05 1.0267899930030723e+06 1.4300060928699884e+06 1.6592806419879643e+06 1.6441338298954465e+06 1.5045703841231030e+06 1.3614554184282853e+06 1.2386655140389425e+06 1.1218077404580428e+06 1.0090407812217637e+06 9.0333973424598691e+05 8.0571331905709964e+05 7.1589638348126924e+05 6.3433456661340094e+05 5.6125747111936088e+05 4.9608040430491284e+05 4.3802845823426830e+05 3.8637285212073941e+05 3.4047104388125235e+05 3.0008887320257339e+05 2.6793155779188685e+05 2.4940981484027201e+05 2.3301426747119741e+05 2.0814428321431248e+05 1.8174954737031614e+05 1.5792058259842484e+05 1.3700126511993093e+05 1.1872044148307729e+05 1.0278353110209139e+05 8.8922379112802082e+04 7.6896172230865443e+04 6.6489033857089045e+04 5.7507582129920593e+04 4.9778678399857243e+04 4.3147412438731742e+04 3.7475276532210686e+04 3.2638530229475946e+04 2.8526726044936757e+04 2.4804365915878767e+04 2.1697153302165105e+04 1.9109715593116965e+04 1.6958293521184358e+04 1.5169590399233462e+04 1.3679757069356529e+04 1.2433486041578341e+04 1.1383186330294480e+04 1.0488217477359296e+04 9.7140833803259502e+03 9.0316398071981293e+03 8.4164399626708673e+03 7.8478218588445525e+03 7.3072593232822173e+03 6.7773379728581895e+03 6.2402400777010071e+03 5.6752544436808339e+03 5.0558336625622187e+03 4.3447627844065873e+03 3.4868988941424518e+03 2.3963912164473159e+03 9.3743948555101133e+02 -1.1036916135104384e+03 -4.0446982693483606e+03 -8.3065189997514899e+03 -1.4341390032003110e+04 -2.2468059798513059e+04 -3.2661559825492055e+04 -4.4413972672885742e+04 -5.6783069096489366e+04 -6.8634052424646594e+04 -7.8958763326501052e+04 -8.7125138364825922e+04 -9.2974194627299948e+04 -9.6734539386752542e+04 -9.8870962126008642e+04 -9.9905189631939429e+04 -1.0028953611934197e+05 -1.0034407876639724e+05 -1.0028883948370584e+05 -1.0019796468697015e+05 -1.0008999912759595e+05 -9.9970930425536251e+04 -9.9846164931515552e+04 -9.9714378744451984e+04 -9.9575641866416452e+04 -9.9424623001712505e+04 -9.9262975827989809e+04 -9.9087730115547005e+04 -9.8896556711896192e+04 -9.8686627419654513e+04 -9.8454760294756285e+04 -9.8197334796744850e+04 -9.7910177445977883e+04 -9.7589094658854941e+04 -9.7229070775643384e+04 -9.6824882455520463e+04 -9.6370900041261586e+04 -9.5861319785393251e+04 -9.5290324332508098e+04 -9.4652396850821184e+04 -9.3943888657957883e+04 -9.3158752013478050e+04 -9.2296976726476700e+04 -9.1360560688939688e+04 -9.0356845741633195e+04 -8.9298329967614074e+04 -8.8208808542052851e+04 -8.7124532758734829e+04 -8.6099347441104852e+04 -8.5211949761025870e+04 -8.4574044249657949e+04 -8.4345526854406955e+04 -8.4755944970390556e+04 -8.6142118867788697e+04 -8.9014285105013900e+04 -9.4180730497608412e+04 -1.0299574332055540e+05 9.9257708541426928e+03 +6.1074122826146283e-03 1.0051663680326357e+05 2.8826647573827161e+05 6.0977708146687225e+05 1.0256036922916066e+06 1.4284191765155953e+06 1.6575326077253860e+06 1.6425182326119454e+06 1.5032163935532474e+06 1.3603563335033993e+06 1.2377932384606872e+06 1.1211458012745050e+06 1.0085717701850496e+06 9.0304288143623655e+05 8.0556697679935815e+05 7.1587914061324252e+05 6.3442587285936961e+05 5.6143854874790122e+05 4.9633456912145327e+05 4.3834099928402476e+05 3.8673085206823604e+05 3.4086323894965986e+05 3.0050620115118590e+05 2.6837390352608933e+05 2.4989707706212642e+05 2.3354989579667308e+05 2.0870116844287701e+05 1.8230890318544468e+05 1.5847326327351891e+05 1.3754103116688970e+05 1.1924242616548440e+05 1.0328395875482204e+05 8.9398423448801754e+04 7.7345835893910407e+04 6.6911038601573237e+04 5.7901267850212251e+04 5.0143910227773602e+04 4.3484495348843499e+04 3.7784876936195302e+04 3.2921604233347389e+04 2.8784453942791002e+04 2.5036362206549904e+04 2.1905105694288784e+04 1.9295384018775112e+04 1.7123454490246226e+04 1.5315988682391662e+04 1.3809063948429342e+04 1.2547262992276337e+04 1.1482852591917857e+04 1.0575019856439389e+04 9.7890661809397079e+03 9.0956132861421356e+03 8.4699491238190094e+03 7.8911107595946078e+03 7.3402184490230420e+03 6.7994385829249359e+03 6.2504349681026570e+03 5.6718198314033534e+03 5.0361158276479364e+03 4.3047632757045785e+03 3.4205938833805517e+03 2.2945995328762956e+03 7.8599440261269228e+02 -1.3267157888992044e+03 -4.3725699503536753e+03 -8.7871478998570838e+03 -1.5037840449026431e+04 -2.3453255323147365e+04 -3.4006025026981923e+04 -4.6169394337754304e+04 -5.8968086835059563e+04 -7.1228464710173008e+04 -8.1908414594162270e+04 -9.0354946796306700e+04 -9.6404222103052860e+04 -1.0029302343350818e+05 -1.0250222532437167e+05 -1.0357148320346030e+05 -1.0396861390283493e+05 -1.0402464908649240e+05 -1.0396724740989762e+05 -1.0387298502035710e+05 -1.0376104003482340e+05 -1.0363759793942793e+05 -1.0350825447378955e+05 -1.0337163293050529e+05 -1.0322781051026272e+05 -1.0307125236676580e+05 -1.0290367613824981e+05 -1.0272200257166012e+05 -1.0252381713513685e+05 -1.0230618791923024e+05 -1.0206581623614561e+05 -1.0179894765136119e+05 -1.0150126110082744e+05 -1.0116840154129891e+05 -1.0079517266122405e+05 -1.0037615946806107e+05 -9.9905525875240477e+04 -9.9377255286516054e+04 -9.8785316944791281e+04 -9.8123990616031806e+04 -9.7389499074352614e+04 -9.6575565401664411e+04 -9.5682182223604337e+04 -9.4711420639739881e+04 -9.3670891823149126e+04 -9.2573552267386855e+04 -9.1444069855811409e+04 -9.0320024508799499e+04 -8.9257240778615887e+04 -8.8337295472993821e+04 -8.7675993076659375e+04 -8.7439093069826034e+04 -8.7864563973118537e+04 -8.9301579209581774e+04 -9.2279088909287428e+04 -9.7635024040751625e+04 -1.0677335167593470e+05 1.0048309519349577e+04 +6.1450537193205746e-03 1.0033912956350524e+05 2.8788119911657367e+05 6.0903795808493381e+05 1.0244174906443575e+06 1.4268321047256857e+06 1.6557832416177737e+06 1.6408995033376394e+06 1.5018575059754394e+06 1.3592507633918021e+06 1.2369130222463491e+06 1.1204746506137350e+06 1.0080925034649285e+06 9.0273495260051894e+05 8.0540895758802444e+05 7.1584983428476541e+05 6.3450491952277592e+05 5.6160732777383190e+05 4.9657652821360074e+05 4.3864153912097536e+05 3.8707714877770963e+05 3.4124410529880150e+05 3.0091262298474222e+05 2.6880566856269113e+05 2.5037369242776145e+05 2.3407479502860393e+05 2.0924771114739796e+05 1.8285855099510861e+05 1.5901693800153234e+05 1.3807251585239769e+05 1.1975685912895248e+05 1.0377755646712518e+05 8.9868341027849965e+04 7.7790048526414728e+04 6.7328233423288650e+04 5.8290744533303827e+04 5.0505489490060616e+04 4.3818434829060068e+04 3.8091793915591734e+04 3.3202404877837733e+04 2.9040268642136540e+04 2.5266777530566313e+04 2.2111754262691913e+04 1.9479972932694098e+04 1.7287710136491511e+04 1.5461608747709795e+04 1.3937675911778997e+04 1.2660387974518191e+04 1.1581872998724635e+04 1.0661149094384180e+04 9.8633182302350178e+03 9.1587703752192338e+03 8.5225292781979424e+03 7.9333302812828852e+03 7.3719367223659665e+03 6.8200892257986679e+03 6.2589223164280056e+03 5.6663549917374330e+03 5.0139548018977657e+03 4.2617791167420964e+03 3.3505753342513153e+03 2.1880856055420427e+03 6.2839351175018135e+02 -1.5579757132784825e+03 -4.7117175063412633e+03 -9.2834394164001187e+03 -1.5756058837093800e+04 -2.4468244196075339e+04 -3.5390093572436715e+04 -4.7975462376835210e+04 -6.1215142228287768e+04 -7.3895658655565800e+04 -8.4940099862424875e+04 -9.3674047296820820e+04 -9.9928709623981282e+04 -1.0394927359003907e+05 -1.0623312184111586e+05 -1.0733830362332574e+05 -1.0774853873925119e+05 -1.0780609568715870e+05 -1.0774646922418085e+05 -1.0764872515091687e+05 -1.0753269123292479e+05 -1.0740475574543639e+05 -1.0727070880296100e+05 -1.0712911936505360e+05 -1.0698007204496488e+05 -1.0681782280819734e+05 -1.0664415502914494e+05 -1.0645587744124701e+05 -1.0625048779447874e+05 -1.0602494762566725e+05 -1.0577583830245442e+05 -1.0549926781958491e+05 -1.0519076352137359e+05 -1.0484580442765329e+05 -1.0445900864688909e+05 -1.0402476428068966e+05 -1.0353702315707751e+05 -1.0298954999813196e+05 -1.0237609479522480e+05 -1.0169072833033884e+05 -1.0092954134814364e+05 -1.0008602142048966e+05 -9.9160164090134684e+04 -9.8154115668329439e+04 -9.7075764043248157e+04 -9.5938536682818507e+04 -9.4767998095440795e+04 -9.3603093234475687e+04 -9.2501680671624461e+04 -9.1548295724461655e+04 -9.0862955217107607e+04 -9.0617442852665336e+04 -9.1058379084702217e+04 -9.2547629039688967e+04 -9.5633369287555775e+04 -1.0118398737145253e+05 -1.1065449074510473e+05 1.0172359811283897e+04 +6.1829271491672692e-03 1.0016095171595851e+05 2.8749545179597742e+05 6.0829868680854829e+05 1.0232313927735592e+06 1.4252448669407221e+06 1.6540325477607423e+06 1.6392776938251057e+06 1.5004937912301391e+06 1.3581387978616627e+06 1.2360249716596054e+06 1.1197944087845527e+06 1.0076031099170853e+06 9.0241608277791319e+05 8.0523939920149511e+05 7.1580860182067857e+05 6.3457184088391124e+05 5.6176393739022024e+05 4.9680640395380597e+05 4.3893019194927666e+05 3.8741184723699384e+05 3.4161373793434369e+05 3.0130822331397538e+05 2.6922692792953574e+05 2.5083972900151386e+05 2.3458902505056516e+05 2.0978395866566023e+05 1.8339852396915903e+05 1.5955162593369090e+05 1.3859572495279356e+05 1.2026373365692626e+05 1.0426430608290009e+05 9.0332103433190758e+04 7.8228772713944578e+04 6.7740573220186823e+04 5.8675960712399406e+04 5.0863359660944196e+04 4.4149170557017278e+04 3.8395964548253840e+04 3.3480867752869082e+04 2.9294105255974591e+04 2.5495547484588245e+04 2.2317035966964952e+04 1.9663421367735304e+04 1.7451002095662177e+04 1.5606395172229717e+04 1.4065540615940592e+04 1.2772811657620841e+04 1.1680200964365958e+04 1.0746560892938343e+04 9.9367968996569343e+03 9.2210693674365029e+03 8.5741387941501725e+03 7.9744379424269182e+03 7.4023698020744359e+03 6.8392425717824581e+03 6.2656504834247016e+03 5.6588023433943545e+03 4.9892849332034748e+03 4.2157336750788436e+03 3.2767515001948277e+03 2.0767365233708942e+03 4.6449374104334430e+02 -1.7976579117505632e+03 -5.0623898344557392e+03 -9.7957298442094561e+03 -1.6496498549549542e+04 -2.5513627100245507e+04 -3.6814538481050789e+04 -4.9833136057914409e+04 -6.3525380077145368e+04 -7.6636949248453326e+04 -8.8055277649802520e+04 -9.7084009319812365e+04 -1.0354930482208956e+05 -1.0770498710544422e+05 -1.1006537671721209e+05 -1.1120738903467923e+05 -1.1163105324405227e+05 -1.1169016127870773e+05 -1.1162824644964456e+05 -1.1152692493250535e+05 -1.1140669066841039e+05 -1.1127413971258111e+05 -1.1113526161879260e+05 -1.1098856945791123e+05 -1.1083415547308783e+05 -1.1066606070607917e+05 -1.1048613607370961e+05 -1.1029107525407286e+05 -1.1007828590007116e+05 -1.0984462010391784e+05 -1.0958653603241050e+05 -1.0930000036939071e+05 -1.0898038479131869e+05 -1.0862299782591702e+05 -1.0822226698931606e+05 -1.0777237813179697e+05 -1.0726706524215300e+05 -1.0669986842694979e+05 -1.0606431247565072e+05 -1.0535425350817962e+05 -1.0456564669275220e+05 -1.0369173765071262e+05 -1.0273252494279179e+05 -1.0169023213144884e+05 -1.0057303133037742e+05 -9.9394833762393071e+04 -9.8182124891152314e+04 -9.6975251738247811e+04 -9.5834162123060218e+04 -9.4846430109658133e+04 -9.4136399188799434e+04 -9.3882040752029585e+04 -9.4338861980338450e+04 -9.5881764102783054e+04 -9.9078671855357912e+04 -1.0482925581211147e+05 -1.1464094891336122e+05 1.0297940355381423e+04 +6.2210340019836999e-03 9.9982095521843308e+04 2.8710922831231635e+05 6.0755926938004163e+05 1.0220454008503249e+06 1.4236574931497972e+06 1.6522805761596437e+06 1.6376528605627215e+06 1.4991253195931136e+06 1.3570205231832725e+06 1.2351291921684463e+06 1.1191051947508315e+06 1.0071037170434587e+06 9.0208640552375256e+05 8.0505843771327520e+05 7.1575557904524088e+05 6.3462676987175946e+05 5.6190850560581137e+05 4.9702431773831515e+05 4.3920707119535375e+05 3.8773505186703493e+05 3.4197223150974856e+05 3.0169308661367919e+05 2.6963775673147885e+05 2.5129525516816639e+05 2.3509264634665931e+05 2.1030995920600934e+05 1.8392885638622928e+05 1.6007734753223418e+05 1.3911066571951096e+05 1.2076304463162318e+05 1.0474419112769676e+05 9.0789683971619743e+04 7.8661972768628330e+04 6.8148014582638163e+04 5.9056866544398552e+04 5.1217465739376930e+04 4.4476643610056490e+04 3.8697327165039045e+04 3.3756929537812175e+04 2.9545899811665167e+04 2.5722608384481911e+04 2.2520888289745286e+04 1.9845668689249953e+04 1.7613272157330237e+04 1.5750292525563960e+04 1.4192605570731115e+04 1.2884484450164740e+04 1.1777789553898345e+04 1.0831210542139919e+04 1.0009459106679065e+04 9.2824680747349739e+03 8.6247355404898462e+03 8.0143907454768187e+03 7.4314728103138796e+03 6.8568507250097182e+03 6.2705672202576416e+03 5.6491036333155962e+03 4.9620398103894468e+03 4.1665494379324073e+03 3.1990295856685511e+03 1.9604380908451099e+03 2.9415040529591823e+02 -2.0459509745483942e+03 -5.4248384913145346e+03 -1.0324358860690983e+04 -1.7259617106466318e+04 -2.6590009612787901e+04 -3.8280138208993449e+04 -5.1743380359555078e+04 -6.5899950895737275e+04 -7.9453656989942407e+04 -9.1255411691164380e+04 -1.0058640723327636e+05 -1.0726765999562084e+05 -1.1156186571991899e+05 -1.1400071937666119e+05 -1.1518048190313348e+05 -1.1561790432419712e+05 -1.1567859284715200e+05 -1.1561432487717373e+05 -1.1550932848142926e+05 -1.1538478054526515e+05 -1.1524748996164894e+05 -1.1510365086751881e+05 -1.1495171886007195e+05 -1.1479179403216246e+05 -1.1461769666906544e+05 -1.1443134706690413e+05 -1.1422932075458995e+05 -1.1400893286863343e+05 -1.1376692311604116e+05 -1.1349962315219094e+05 -1.1320285454521449e+05 -1.1287182915853774e+05 -1.1250168039490042e+05 -1.1208664008031023e+05 -1.1162068637736753e+05 -1.1109732958415557e+05 -1.1050987915684642e+05 -1.0985162863087647e+05 -1.0911621368943350e+05 -1.0829945031733799e+05 -1.0739433563470746e+05 -1.0640087132380872e+05 -1.0532136027162586e+05 -1.0416426645588002e+05 -1.0294399785249485e+05 -1.0168798562468171e+05 -1.0043801652777496e+05 -9.9256183797673628e+04 -9.8233181846915511e+04 -9.7497797106319558e+04 -9.7234354904299631e+04 -9.7707487940117964e+04 -9.9305483806805321e+04 -1.0261654601434180e+05 -1.0857246869071003e+05 -1.1873451894623753e+05 1.0425070006162854e+04 +6.2593757164112317e-03 9.9802550460394545e+04 2.8672251605160732e+05 6.0681967320399929e+05 1.0208595077932246e+06 1.4220699827045121e+06 1.6505273216515763e+06 1.6360250378779618e+06 1.4977521538746296e+06 1.3558960249405976e+06 1.2342257871088181e+06 1.1184071250378890e+06 1.0065944507806454e+06 9.0174605269886961e+05 8.0486620748853905e+05 7.1569090027156798e+05 6.3466983806274203e+05 5.6204115924442315e+05 4.9723038996638701e+05 4.3947228948766313e+05 3.8804686650192132e+05 3.4231968030169915e+05 3.0206729719307506e+05 2.7003823011691141e+05 2.5174033959379181e+05 2.3558571995771216e+05 2.1082576180098322e+05 1.8444958358556003e+05 1.6059412452151076e+05 1.3961734683086519e+05 1.2125478848856097e+05 1.0521719676619209e+05 9.1241057636018551e+04 7.9089614696830438e+04 6.8550515766433702e+04 5.9433413789854298e+04 5.1567754235717322e+04 4.4800796458404366e+04 3.8995821349278442e+04 3.4030528007174689e+04 2.9795589261916717e+04 2.5947897281133592e+04 2.2723249256721432e+04 2.0026654617976077e+04 1.7774462289309908e+04 1.5893245394535554e+04 1.4318818163214110e+04 1.2995356522126021e+04 1.1874591503436466e+04 1.0915052937116430e+04 1.0081261328832326e+04 9.3429238394994063e+03 8.6742768958664219e+03 8.0531451845851934e+03 7.4592003393687537e+03 6.8728652293597706e+03 6.2736196740231708e+03 5.6371999419865651e+03 4.9321522685646187e+03 4.1141480177025032e+03 3.1173157521431281e+03 1.8390748347805113e+03 1.1721721433121341e+02 -2.3030455456377840e+03 -5.7993176752539248e+03 -1.0869669495593460e+04 -1.8045876142454457e+04 -2.7698002118675711e+04 -3.9787676514799190e+04 -5.3707165777745016e+04 -6.8340010652646743e+04 -8.2347107572826004e+04 -9.4541970558970657e+04 -1.0418281989620780e+05 -1.1108543165311287e+05 -1.1552161518775926e+05 -1.1804088313663512e+05 -1.1925932852149890e+05 -1.1971084268105675e+05 -1.1977314115625899e+05 -1.1970645406889591e+05 -1.1959768367934272e+05 -1.1946870682797523e+05 -1.1932655036951553e+05 -1.1917761824645376e+05 -1.1902030696842718e+05 -1.1885472470075206e+05 -1.1867446504127640e+05 -1.1848151953280206e+05 -1.1827234240976963e+05 -1.1804415383183766e+05 -1.1779357813218719e+05 -1.1751681708673907e+05 -1.1720954328066517e+05 -1.1686680454895267e+05 -1.1648355445962725e+05 -1.1605382396475124e+05 -1.1557137801163581e+05 -1.1502949725767899e+05 -1.1442125437307639e+05 -1.1373970548556146e+05 -1.1297825997021653e+05 -1.1213259096052255e+05 -1.1119544041505308e+05 -1.1016681324266500e+05 -1.0904909376352136e+05 -1.0785104558552844e+05 -1.0658758665444532e+05 -1.0528711899176458e+05 -1.0399290738419577e+05 -1.0276924759481911e+05 -1.0171003735582266e+05 -1.0094862426180036e+05 -1.0067585661451111e+05 -1.0116573542822863e+05 -1.0282029079626049e+05 -1.0624854451028424e+05 -1.1241526887385650e+05 -1.2293699747875352e+05 1.0553767850045568e+04 +6.2979537399579181e-03 9.9622308311697503e+04 2.8633531120208913e+05 6.0607991380049090e+05 1.0196737038451637e+06 1.4204823167370351e+06 1.6487728386815202e+06 1.6343942814513277e+06 1.4963743663075904e+06 1.3547653925498433e+06 1.2333148570921754e+06 1.1177003135224816e+06 1.0060754350312540e+06 9.0139515426974988e+05 8.0466284128344606e+05 7.1561469828603847e+05 6.3470117567863967e+05 5.6216202394046378e+05 4.9742474002403463e+05 4.3972595863820094e+05 3.8834739436617400e+05 3.4265617818438698e+05 3.0243093916852074e+05 2.7042842324558960e+05 2.5217505119105559e+05 2.3606830743951022e+05 2.1133141626126861e+05 1.8496074191851405e+05 1.6110197984003247e+05 1.4011577834561723e+05 1.2173896317171017e+05 1.0568330976126539e+05 9.1686201068019553e+04 7.9511666166382405e+04 6.8948036666303145e+04 5.9805555792070125e+04 5.1914173157197714e+04 4.5121572957112381e+04 3.9291387935082450e+04 3.4301602034607167e+04 3.0043111494416338e+04 2.6171351975503330e+04 2.2924057455563950e+04 2.0206319251902143e+04 1.7934514661270980e+04 1.6035198407397318e+04 1.4444125681135967e+04 1.3105377826648977e+04 1.1970559239616749e+04 1.0998042594927185e+04 1.0152159617764235e+04 9.4023935461742039e+03 8.7227197582777753e+03 8.0906572535748437e+03 7.4855064583995509e+03 6.8872370745240314e+03 6.2747543933425504e+03 5.6230316888270718e+03 4.8995543945247955e+03 4.0584501575349532e+03 3.0315151240722844e+03 1.7125300110967753e+03 -6.6453718699936715e+01 -2.5691343112915165e+03 -6.1860842084868445e+03 -1.1432008100806765e+04 -1.8855741354544614e+04 -2.8838219723789105e+04 -4.1337942324862750e+04 -5.5725468132216782e+04 -7.0846720513212160e+04 -8.5318631559640140e+04 -9.7916427285459285e+04 -1.0787483023539277e+05 -1.1500428005781450e+05 -1.1958594480125303e+05 -1.2218760472002263e+05 -1.2344567851632413e+05 -1.2391162231379827e+05 -1.2397556025117374e+05 -1.2390638686143004e+05 -1.2379374167758749e+05 -1.2366021874637390e+05 -1.2351306807450137e+05 -1.2335890871032534e+05 -1.2319607643316145e+05 -1.2302468770599592e+05 -1.2283810341016621e+05 -1.2263838823376906e+05 -1.2242187191895854e+05 -1.2218567714821956e+05 -1.2192630984129157e+05 -1.2163983847298654e+05 -1.2132178271303915e+05 -1.2096702208324781e+05 -1.2057032552894854e+05 -1.2012551785910885e+05 -1.1962614518694194e+05 -1.1906525248094916e+05 -1.1843566938815085e+05 -1.1773020837305607e+05 -1.1694204653414528e+05 -1.1606671042533102e+05 -1.1509668007327864e+05 -1.1403196372021304e+05 -1.1287502926246845e+05 -1.1163494783314380e+05 -1.1032716078258256e+05 -1.0898106656556013e+05 -1.0764144693082068e+05 -1.0637485822284351e+05 -1.0527848583606488e+05 -1.0449035870621272e+05 -1.0420801993943313e+05 -1.0471508567395789e+05 -1.0642769052579526e+05 -1.0997622299277269e+05 -1.1635930230014498e+05 -1.2725018450560798e+05 1.0684053208185158e+04 +6.3367695290531510e-03 9.9441356407997926e+04 2.8594759524398646e+05 6.0533996584443992e+05 1.0184879857520680e+06 1.4188945342439914e+06 1.6470171392460947e+06 1.6327606372526947e+06 1.4949920319550496e+06 1.3536287093976180e+06 1.2323965023373826e+06 1.1169848722783348e+06 1.0055467916686706e+06 9.0103383831810206e+05 8.0444847034227115e+05 7.1552710434246075e+05 6.3472091158922866e+05 5.6227122412927356e+05 4.9760748626739485e+05 4.3996818962343456e+05 3.8863673805545282e+05 3.4298181860554550e+05 3.0278409643330530e+05 2.7080841125680372e+05 2.5259945908075816e+05 2.3654047082047156e+05 2.1182697313040998e+05 1.8546236870240627e+05 1.6160093759306910e+05 1.4060597165609169e+05 1.2221556808857289e+05 1.0614251843183558e+05 9.2125092519989106e+04 7.9928096473762664e+04 6.9340538788178485e+04 6.0173247455613695e+04 5.2256671992636089e+04 4.5438918336994095e+04 3.9583969004574719e+04 3.4570091596307793e+04 3.0288405340450397e+04 2.6392911032052281e+04 2.3123252053640219e+04 2.0384603087163858e+04 1.8093371667526986e+04 1.6176096257242540e+04 1.4568475335864390e+04 1.3214498121651708e+04 1.2065644899009501e+04 1.1080133671327600e+04 1.0222109613421715e+04 9.4608336329121430e+03 8.7700205547594869e+03 8.1268824539133966e+03 7.5103447203091173e+03 6.8999167020897521e+03 6.2739173339800573e+03 5.6065386376125971e+03 4.8641775321157411e+03 3.9993757369258005e+03 2.9415317948863631e+03 1.5806856115963135e+03 -2.5701186902235622e+02 -2.8444119886695216e+03 -6.5853975192764201e+03 -1.2011724319941402e+04 -1.9689682449704011e+04 -3.0011282167993239e+04 -4.2931729598466329e+04 -5.7799268372775012e+04 -7.3421246581062209e+04 -8.8369564061792073e+04 -1.0138025898604353e+05 -1.1166402482461189e+05 -1.1902586877497073e+05 -1.2375656691624265e+05 -1.2644262376903379e+05 -1.2774128435598857e+05 -1.2822200002598634e+05 -1.2828760696402042e+05 -1.2821587887173668e+05 -1.2809925640346706e+05 -1.2796106830286320e+05 -1.2780879298329583e+05 -1.2764926997912209e+05 -1.2748077266579248e+05 -1.2730342603246379e+05 -1.2711035211667330e+05 -1.2690369068112926e+05 -1.2667964372591754e+05 -1.2643523391475894e+05 -1.2616684566580453e+05 -1.2587041067429536e+05 -1.2554129169877090e+05 -1.2517419559306938e+05 -1.2476370181414360e+05 -1.2430342367280198e+05 -1.2378668273748683e+05 -1.2320628214154531e+05 -1.2255480216935660e+05 -1.2182480526577796e+05 -1.2100923018637027e+05 -1.2010345311672043e+05 -1.1909968527101424e+05 -1.1799793833305557e+05 -1.1680076595364678e+05 -1.1551755481456182e+05 -1.1416428332424923e+05 -1.1277137236223677e+05 -1.1138516020371513e+05 -1.1007452277424102e+05 -1.0894001884697241e+05 -1.0812448083306504e+05 -1.0783232127171692e+05 -1.0835702225370654e+05 -1.1012919083560188e+05 -1.1380113957645487e+05 -1.2040621751633340e+05 -1.3167588287406831e+05 1.0815945639357929e+04 +6.3758245491026422e-03 9.9259689197132131e+04 2.8555936480631382e+05 6.0459984448974999e+05 1.0173023436709734e+06 1.4173066203790333e+06 1.6452602517440415e+06 1.6311241568015032e+06 1.4936052133408766e+06 1.3524860600697109e+06 1.2314708234210399e+06 1.1162609127263944e+06 1.0050086409176697e+06 9.0066223120187514e+05 8.0422322439260629e+05 7.1542824818176858e+05 6.3472917331279186e+05 5.6236888303288375e+05 4.9777874600947683e+05 4.4019909256753983e+05 3.8891499951559299e+05 3.4329669456480053e+05 3.0312685263226862e+05 2.7117826923993835e+05 2.5301363255857921e+05 2.3700227256166356e+05 2.1231248364011297e+05 1.8595450217392133e+05 1.6209102300602713e+05 1.4108793944180032e+05 1.2268460406625256e+05 1.0659481261143561e+05 9.2557711817420670e+04 8.0338876511147653e+04 6.9727985221574505e+04 6.0536445224302210e+04 5.2595201696212251e+04 4.5752779194720795e+04 3.9873507883954386e+04 3.4835937772690842e+04 3.0531410582229346e+04 2.6612513791315407e+04 2.3320772814903998e+04 2.0561447037977236e+04 1.8250975948984138e+04 1.6315883724839676e+04 1.4691814285018303e+04 1.3322666991056658e+04 1.2159800347321105e+04 1.1161279977563709e+04 1.0291066558206787e+04 9.5182001034181085e+03 8.8161352510337838e+03 8.1617758028718599e+03 7.5336681687008004e+03 6.9108540116856666e+03 6.2710538645591814e+03 5.5876599019408823e+03 4.8259522876821975e+03 3.9368437772767984e+03 2.8472688329677212e+03 1.4434223707016906e+03 -4.5460829197298904e+02 -3.1290753144369878e+03 -6.9975196241035164e+03 -1.2609171058041984e+04 -2.0548173092437184e+04 -3.1217813738213143e+04 -4.4569837193124753e+04 -5.9929552386184965e+04 -7.6064759641250625e+04 -9.1501244419348484e+04 -1.0493494648350174e+05 -1.1555199346440655e+05 -1.2315186421894534e+05 -1.2803519648029184e+05 -1.3080768236124047e+05 -1.3214790086062803e+05 -1.3264373493336610e+05 -1.3271104042153334e+05 -1.3263668800538027e+05 -1.3251598406860197e+05 -1.3237300978061062e+05 -1.3221547728122454e+05 -1.3205045204797617e+05 -1.3187614335010049e+05 -1.3169268493412033e+05 -1.3149295376767317e+05 -1.3127916664841009e+05 -1.3104739453224983e+05 -1.3079455748208272e+05 -1.3051691527688599e+05 -1.3021025929770889e+05 -1.2986979133225902e+05 -1.2949004114155725e+05 -1.2906539375045834e+05 -1.2858924553068000e+05 -1.2805468770377926e+05 -1.2745427532257675e+05 -1.2678033286849411e+05 -1.2602516630728544e+05 -1.2518146988910406e+05 -1.2424446558034062e+05 -1.2320608879255496e+05 -1.2206635476109784e+05 -1.2082790510432435e+05 -1.1950045020483228e+05 -1.1810051940186167e+05 -1.1665958240801473e+05 -1.1522557422429182e+05 -1.1386975030371154e+05 -1.1269612988953492e+05 -1.1185247296275044e+05 -1.1155023892592094e+05 -1.1209303067529215e+05 -1.1392630152863938e+05 -1.1772485440457003e+05 -1.2455766521570081e+05 -1.3621589777789509e+05 1.0949464942873004e+04 +6.4151202745437487e-03 9.9077292431551396e+04 2.8517061131141160e+05 6.0385950982369471e+05 1.0161167774182601e+06 1.4157185728769002e+06 1.6435021853509990e+06 1.6294848770988996e+06 1.4922139684657280e+06 1.3513375267071195e+06 1.2305379174028055e+06 1.1155285454470743e+06 1.0044611015412317e+06 9.0028045774529676e+05 8.0398723156518908e+05 7.1531825805969641e+05 6.3472608699552680e+05 5.6245512263420958e+05 4.9793863550778193e+05 4.4041877672957926e+05 3.8918228002552851e+05 3.4360089859008876e+05 3.0345929113310139e+05 2.7153807220351126e+05 2.5341764105913092e+05 2.3745377551647840e+05 2.1278799966741586e+05 1.8643718144407944e+05 1.6257226237809821e+05 1.4156169562419647e+05 1.2314607330695096e+05 1.0704018360709396e+05 9.2984040321416673e+04 8.0743978732713367e+04 7.0110340611122228e+04 6.0895107058147616e+04 5.2929714670742986e+04 4.6063103481948339e+04 4.0159949138506519e+04 3.5099082749308582e+04 3.0772067959086413e+04 2.6830100381279128e+04 2.3516560115356526e+04 2.0736792455507486e+04 1.8407270414257502e+04 1.6454505700749080e+04 1.4814089654424100e+04 1.3429833865697781e+04 1.2252977198435423e+04 1.1241434997044908e+04 1.0358985311199902e+04 9.5744485387528766e+03 8.8610193613895208e+03 8.1952918417266283e+03 7.5554293449066263e+03 6.9199983672130811e+03 6.2661087722441089e+03 5.5663339506610009e+03 4.7848085354709010e+03 3.8707724474741181e+03 2.7486282875931743e+03 1.3006197721643366e+03 -6.5939561479264933e+02 -3.4233230334316631e+03 -7.4227151098870017e+03 -1.3224704451218407e+04 -2.1431690852318814e+04 -3.2458443181482548e+04 -4.6253068730018225e+04 -6.2117310803087377e+04 -7.8778434903564106e+04 -9.4715015882394742e+04 -1.0858197393421577e+05 -1.1954032876470358e+05 -1.2738393520534107e+05 -1.3242355056235244e+05 -1.3528452452846483e+05 -1.3666728471550901e+05 -1.3717858797467389e+05 -1.3724762155575611e+05 -1.3717057396663298e+05 -1.3704568268006603e+05 -1.3689779925582031e+05 -1.3673487494374471e+05 -1.3656420670000406e+05 -1.3638393795562760e+05 -1.3619421144769739e+05 -1.3598765275023121e+05 -1.3576655768640869e+05 -1.3552686281402421e+05 -1.3526538297213297e+05 -1.3497825011302510e+05 -1.3466111171358093e+05 -1.3430900446649417e+05 -1.3391627654497969e+05 -1.3347711352069603e+05 -1.3298468929874690e+05 -1.3243185886009716e+05 -1.3181092283313980e+05 -1.3111394335406425e+05 -1.3033296334800129e+05 -1.2946042629918816e+05 -1.2849139604423093e+05 -1.2741752509056224e+05 -1.2623883233720128e+05 -1.2495804961790387e+05 -1.2358521929700251e+05 -1.2213743573669913e+05 -1.2064724430866804e+05 -1.1916421757425503e+05 -1.1776205140782465e+05 -1.1654831399103273e+05 -1.1567581893024345e+05 -1.1536325272697587e+05 -1.1592459796434664e+05 -1.1782053395101787e+05 -1.2174892921422407e+05 -1.2881529777754117e+05 -1.4087203625552327e+05 1.1084631161522460e+04 +6.4546581889011355e-03 9.8894157877165519e+04 2.8478132072060782e+05 6.0311896844793332e+05 1.0149312793085342e+06 1.4141304097923411e+06 1.6417429603908290e+06 1.6278428377463063e+06 1.4908183626518936e+06 1.3501831898516973e+06 1.2295978789375087e+06 1.1147878789237167e+06 1.0039042909670675e+06 8.9988864132458670e+05 8.0374061834390648e+05 7.1519726076026249e+05 6.3471177737959183e+05 5.6253006366277509e+05 4.9808726995338651e+05 4.4062735049120930e+05 3.8943868017677648e+05 3.4389452271751902e+05 3.0378149500366935e+05 2.7188789504735259e+05 2.5381155412262934e+05 2.3789504289189831e+05 2.1325357369188170e+05 1.8691044645287335e+05 1.6304468303729329e+05 1.4202725532139681e+05 1.2359997934494753e+05 1.0747862415775414e+05 9.3404060890338878e+04 8.1143377121365644e+04 7.0487571127643649e+04 6.1249192409999974e+04 5.3260164749784453e+04 4.6369840493302763e+04 4.0443238566892600e+04 3.5359469816679040e+04 3.1010319172570184e+04 2.7045611727512565e+04 2.3710554957681394e+04 2.0910581145861514e+04 1.8562198259943321e+04 1.6591907206760119e+04 1.4935248559590305e+04 1.3535948043861817e+04 1.2345126833265596e+04 1.1320551901968613e+04 1.0425820362351596e+04 9.6295341092248236e+03 8.9046279585366774e+03 8.2273846439897789e+03 7.5755802950348789e+03 6.9272986030971870e+03 6.2590262684921627e+03 5.5424986133749399e+03 4.7406754230638262e+03 3.8010790694180441e+03 2.6455111948431527e+03 1.1521560557000153e+03 -8.7152802850109299e+02 -3.7273558874304731e+03 -7.8612511163134732e+03 -1.3858683836417758e+04 -2.2340717151771561e+04 -3.3733803618150341e+04 -4.7982232459685358e+04 -6.4363538806122269e+04 -8.1563451747112151e+04 -9.8012225293752403e+04 -1.1232282845631693e+05 -1.2363062572904455e+05 -1.3172375250319485e+05 -1.3692334788664489e+05 -1.3987489577813636e+05 -1.4130119398704206e+05 -1.4182832142573092e+05 -1.4189911261721043e+05 -1.4181929777318702e+05 -1.4169011155452239e+05 -1.4153719411209901e+05 -1.4136874125215696e+05 -1.4119228702278787e+05 -1.4100590725447205e+05 -1.4080975391104500e+05 -1.4059619475021641e+05 -1.4036760664269482e+05 -1.4011978834163159e+05 -1.3984944679838209e+05 -1.3955258290153337e+05 -1.3922469657798344e+05 -1.3886065523675198e+05 -1.3845462089878030e+05 -1.3800057458238368e+05 -1.3749146211337610e+05 -1.3691989624583503e+05 -1.3627791674137497e+05 -1.3555731674649494e+05 -1.3474986948281270e+05 -1.3384776131018935e+05 -1.3284589396326509e+05 -1.3173562983453242e+05 -1.3051699159963145e+05 -1.2919280359087717e+05 -1.2777344856437591e+05 -1.2627660021680118e+05 -1.2473590682219050e+05 -1.2320261997328141e+05 -1.2175293780753366e+05 -1.2049806729139182e+05 -1.1959600367530242e+05 -1.1927284360175590e+05 -1.1985321225346775e+05 -1.2181340057347614e+05 -1.2587492690540403e+05 -1.3318076881170081e+05 -1.4564610669027051e+05 1.1221464584567897e+04 +6.4944397848427848e-03 9.8710277044642266e+04 2.8439148533855809e+05 6.0237821583350387e+05 1.0137458429252517e+06 1.4125421351600720e+06 1.6399826117978350e+06 1.6261980893259945e+06 1.4894184659877780e+06 1.3490231272086625e+06 1.2286508020843389e+06 1.1140390190046583e+06 1.0033383252780150e+06 8.9948690381087177e+05 8.0348350957622763e+05 7.1506538158112776e+05 6.3468636777292599e+05 5.6259382558580127e+05 4.9822476345973084e+05 4.4082492134511913e+05 3.8968429985538538e+05 3.4417765847052354e+05 3.0409354698476626e+05 2.7222781253548828e+05 2.5419544136307953e+05 2.3832613821127365e+05 2.1370925875396706e+05 1.8737433792678377e+05 1.6350831329534538e+05 1.4248463480422096e+05 1.2404632700294151e+05 1.0791012839389019e+05 9.3817757842795138e+04 8.1537047154839864e+04 7.0859644439345677e+04 6.1598662201849242e+04 5.3586507179389657e+04 4.6672940854015935e+04 4.0723323193922763e+04 3.5617043368994324e+04 3.1246106890329102e+04 2.7258989562253417e+04 2.3902698984741837e+04 2.1082755386997942e+04 1.8715702989953457e+04 1.6728033416615246e+04 1.5055238126733535e+04 1.3640958711479565e+04 1.2436200418304836e+04 1.1398583569801334e+04 1.0491525846686942e+04 9.6834115863546303e+03 8.9469156835495869e+03 8.2580078237942998e+03 7.5940725771032376e+03 6.9327030305488688e+03 6.2497499948234190e+03 5.5160910858896505e+03 4.6934813767262585e+03 3.7276801235258390e+03 2.5378175834292629e+03 9.9790822355254613e+02 -1.0911612798648882e+03 -4.0413766040419323e+03 -8.3133973182882692e+03 -1.4511471721340165e+04 -2.3275737213793287e+04 -3.5044532455477674e+04 -4.9758141128401512e+04 -6.6669235938065947e+04 -8.4420993466344371e+04 -1.0139422277339203e+05 -1.1615899976062836e+05 -1.2782448134279017e+05 -1.3617298839221470e+05 -1.4153630836908097e+05 -1.4458054261912548e+05 -1.4605138764245130e+05 -1.4659469841683470e+05 -1.4666727669258235e+05 -1.4658462127252872e+05 -1.4645103083621609e+05 -1.4629295255906612e+05 -1.4611883231241797e+05 -1.4593644692715915e+05 -1.4574380284105364e+05 -1.4554106148299403e+05 -1.4532032627348776e+05 -1.4508405718360952e+05 -1.4482791170251058e+05 -1.4454848619013216e+05 -1.4424164718394133e+05 -1.4390274335912228e+05 -1.4352646858866132e+05 -1.4310679410570621e+05 -1.4263749119804773e+05 -1.4211127191218559e+05 -1.4152050069850485e+05 -1.4085694990991987e+05 -1.4011213695721424e+05 -1.3927755859241556e+05 -1.3834513759589198e+05 -1.3730960956755208e+05 -1.3616203946230904e+05 -1.3490245384794788e+05 -1.3353377187329324e+05 -1.3206672522535108e+05 -1.3051958146634977e+05 -1.2892711943402841e+05 -1.2734231185953823e+05 -1.2584392193410591e+05 -1.2454688663360864e+05 -1.2361451283531242e+05 -1.2328049317255650e+05 -1.2388036237429756e+05 -1.2590641457753757e+05 -1.3010441111195649e+05 -1.3765573270432212e+05 -1.5053991831497173e+05 1.1359985750762651e+04 +6.5344665642363452e-03 9.8525635434849872e+04 2.8400109401164670e+05 6.0163722730971174e+05 1.0125604624243256e+06 1.4109537296676533e+06 1.6382211645515689e+06 1.6245506868239709e+06 1.4880143331436364e+06 1.3478574165705498e+06 1.2276967804360269e+06 1.1132820699942682e+06 1.0027633187974481e+06 8.9907536540365207e+05 8.0321602850597689e+05 7.1492274430895341e+05 6.3464998004561209e+05 5.6264652661484387e+05 4.9835122905737959e+05 4.4101159588539030e+05 3.8991923822586075e+05 3.4445039683954965e+05 3.0439552946734894e+05 2.7255789926902897e+05 2.5456937243536842e+05 2.3874712527602556e+05 2.1415510841429044e+05 1.8782889733496486e+05 1.6396318240427936e+05 1.4293385145170713e+05 1.2448512234959273e+05 1.0833469179647863e+05 9.4225116919237582e+04 8.1924965771549032e+04 7.1226529682338572e+04 6.1943478800310615e+04 5.3908698598957853e+04 4.6972356506200114e+04 4.1000151263029904e+04 3.5871748901642641e+04 3.1479374749226583e+04 2.7470176432573524e+04 2.4092934491957079e+04 2.1253257944802022e+04 1.8867728434080855e+04 1.6862829675976001e+04 1.5174005513084672e+04 1.3744814961924678e+04 1.2526148924043526e+04 1.1475482599685642e+04 1.0556055558419239e+04 9.7360353547557024e+03 8.9878367558297123e+03 8.2871145441947920e+03 7.6108572681850992e+03 6.9361594438801967e+03 6.2382230285310543e+03 5.4870479356713149e+03 4.6431541067757071e+03 3.6504912541675453e+03 2.4254464804776931e+03 8.3775204695395496e+02 -1.3184526634952899e+03 -4.3655898857323427e+03 -8.7794259085442809e+03 -1.5183433754502405e+04 -2.4237240010130889e+04 -3.6391271301417582e+04 -5.1581611845017265e+04 -6.9035405912046277e+04 -8.7352247018351060e+04 -1.0486236140548757e+05 -1.2009197978327877e+05 -1.3212349416321755e+05 -1.4073331622299177e+05 -1.4626415265719031e+05 -1.4940321208997318e+05 -1.5091962507313860e+05 -1.5147948245439687e+05 -1.5155387722517570e+05 -1.5146830666416377e+05 -1.5133020101873818e+05 -1.5116683315445579e+05 -1.5098690457812801e+05 -1.5079844067127924e+05 -1.5059937665628330e+05 -1.5038988366872419e+05 -1.5016179417152714e+05 -1.4991765332011768e+05 -1.4965297382909345e+05 -1.4936423872027342e+05 -1.4904717684478511e+05 -1.4869698186742075e+05 -1.4830816980879684e+05 -1.4787451640876580e+05 -1.4738957796906898e+05 -1.4684582697145754e+05 -1.4623537339239570e+05 -1.4554971553651968e+05 -1.4478008823059534e+05 -1.4391770488879574e+05 -1.4295421815953666e+05 -1.4188419341331272e+05 -1.4069839073536167e+05 -1.3939684070250532e+05 -1.3798255963291795e+05 -1.3646663681271329e+05 -1.3486794841998801e+05 -1.3322243193635301e+05 -1.3158482397422177e+05 -1.3003651651780424e+05 -1.2869626915657970e+05 -1.2773283234113497e+05 -1.2738768335490192e+05 -1.2800753745324735e+05 -1.3010108944382663e+05 -1.3443894577715837e+05 -1.4224184416934158e+05 -1.5555528072006439e+05 1.1500215451411204e+04 +6.5747400382058351e-03 9.8340225360170371e+04 2.8361013608200825e+05 6.0089601339754974e+05 1.0113751279286430e+06 1.4093652202813805e+06 1.6364586222016339e+06 1.6229006514182403e+06 1.4866060276193994e+06 1.3466861361656939e+06 1.2267359050938957e+06 1.1125171353850621e+06 1.0021793837014305e+06 8.9865414450904378e+05 8.0293829677575163e+05 7.1476947119284829e+05 6.3460273466025945e+05 5.6268828371914034e+05 4.9846677868636377e+05 4.4118747979364428e+05 3.9014359371512168e+05 3.4471282826208451e+05 3.0468752447082248e+05 2.7287822966081963e+05 2.5493341700445343e+05 2.3915806813041802e+05 2.1459117671382046e+05 1.8827416684721352e+05 1.6440932051298881e+05 1.4337492370815179e+05 1.2491637265691845e+05 1.0875231115666460e+05 9.4626125245134142e+04 8.2307111337271635e+04 7.1588197430697997e+04 6.2283605991598641e+04 5.4226697021601736e+04 4.7268040694875235e+04 4.1273672227343857e+04 3.6123533008026228e+04 3.1710067356942061e+04 2.7679115707163084e+04 2.4281204438752498e+04 2.1422032087979129e+04 1.9018218765735197e+04 1.6996241521786364e+04 1.5291497926766531e+04 1.3847465815344553e+04 1.2614923143006099e+04 1.1551201328646452e+04 1.0619362965055921e+04 9.7873594241170322e+03 9.0273449830790778e+03 8.3146575256172509e+03 7.6258849715905426e+03 6.9376151268051126e+03 6.2243878884411524e+03 5.4553051072594544e+03 4.5896206128868616e+03 3.5694272750557220e+03 2.3082959171962657e+03 6.7156207247177156e+02 -1.5535610140904171e+03 -4.7002023990320304e+03 -9.2596115804746241e+03 -1.5874938695613895e+04 -2.5225718209659757e+04 -3.7774665878978369e+04 -5.3453465948506913e+04 -7.1463056421789399e+04 -9.0358402772154062e+04 -1.0841799692713626e+05 -1.2412326232241948e+05 -1.3652926391392070e+05 -1.4540640998014077e+05 -1.5110860167513945e+05 -1.5434465129250250e+05 -1.5590766562264616e+05 -1.5648443694654919e+05 -1.5656067754094291e+05 -1.5647211602452549e+05 -1.5632938247078960e+05 -1.5616059433070000e+05 -1.5597471437748149e+05 -1.5578002238789090e+05 -1.5557438051621694e+05 -1.5535796984810938e+05 -1.5512234517110972e+05 -1.5487013893917092e+05 -1.5459671552868086e+05 -1.5429844183777086e+05 -1.5397090564451544e+05 -1.5360914178987304e+05 -1.5320748406069310e+05 -1.5275950792842358e+05 -1.5225854937476822e+05 -1.5169683544486749e+05 -1.5106621538034637e+05 -1.5035790669802658e+05 -1.4956285469049177e+05 -1.4867198246448336e+05 -1.4767666588537529e+05 -1.4657129593895725e+05 -1.4534632029842731e+05 -1.4400177366783199e+05 -1.4254077192267042e+05 -1.4097477074537959e+05 -1.3932326990056501e+05 -1.3762339401033963e+05 -1.3593168694883012e+05 -1.3433223418109288e+05 -1.3294771189248408e+05 -1.3195244801810995e+05 -1.3159589595839355e+05 -1.3223622650996130e+05 -1.3439893854502693e+05 -1.3888009473281077e+05 -1.4694075780182349e+05 -1.6069400336683236e+05 1.1642174733465217e+04 +6.6152617271886894e-03 9.8154035776005054e+04 2.8321860243554862e+05 6.0015455073552765e+05 1.0101898309174911e+06 1.4077766065541864e+06 1.6346950353542131e+06 1.6212480376017420e+06 1.4851936066030096e+06 1.3455093648799029e+06 1.2257682655680380e+06 1.1117443176040410e+06 1.0015866302576771e+06 8.9822335779204022e+05 8.0265043441609375e+05 7.1460568295146863e+05 6.3454475072408526e+05 5.6271921263898723e+05 4.9857152319542959e+05 4.4135267782888893e+05 3.9035746399679920e+05 3.4496504260542087e+05 3.0496961361934786e+05 2.7318887791012618e+05 2.5528764471492273e+05 2.3955903102482716e+05 2.1501751813442900e+05 1.8871018929290431e+05 1.6484675862434236e+05 1.4380787104056671e+05 1.2534008635864452e+05 1.0916298453563725e+05 9.5020771292773192e+04 8.2683463610456369e+04 7.1944619666888422e+04 6.2619008956353144e+04 5.4540461813965172e+04 4.7559947952639552e+04 4.1543836740105893e+04 3.6372343375187935e+04 3.1938130293021575e+04 2.7885751582342138e+04 2.4467452458959186e+04 2.1589021602190041e+04 1.9167118518621046e+04 1.7128214700688532e+04 1.5407662645982480e+04 1.3948860237600991e+04 1.2702473707560284e+04 1.1625691847609080e+04 1.0681401221373813e+04 9.8373374410634224e+03 9.0653937713506984e+03 8.3405890542093039e+03 7.6391058240392358e+03 6.9370168587438575e+03 6.2081865406504012e+03 5.4207979276418346e+03 4.5328071893315073e+03 3.4844021745252589e+03 2.1862629344493812e+03 4.9921162822369922e+02 -1.7966466988398188e+03 -5.0454227639462270e+03 -9.7542315112005435e+03 -1.6586358386157666e+04 -2.6241668127168636e+04 -3.9195365941082273e+04 -5.5374528876503980e+04 -7.3953198954361273e+04 -9.3440654259755785e+04 -1.1206248742045728e+05 -1.2825434267744991e+05 -1.4104339108270247e+05 -1.5019394385111702e+05 -1.5607137617174917e+05 -1.5940660693003805e+05 -1.6101726811923392e+05 -1.6161132473351405e+05 -1.6168944037852017e+05 -1.6159781083809250e+05 -1.6145033496752151e+05 -1.6127599392647218e+05 -1.6108401744530280e+05 -1.6088294561714333e+05 -1.6067056564471798e+05 -1.6044706881022544e+05 -1.6020372540871039e+05 -1.5994325733806367e+05 -1.5966087702092755e+05 -1.5935283240445459e+05 -1.5901456675795518e+05 -1.5864095222866556e+05 -1.5822613592496759e+05 -1.5776348820361262e+05 -1.5724611931473910e+05 -1.5666600490925307e+05 -1.5601472714036904e+05 -1.5528321589894008e+05 -1.5446211989222065e+05 -1.5354206484613547e+05 -1.5251414309577996e+05 -1.5137256702537677e+05 -1.5010746424310192e+05 -1.4871887370060387e+05 -1.4721001325328616e+05 -1.4559271390621923e+05 -1.4388711420027929e+05 -1.4213155481382637e+05 -1.4038443089808940e+05 -1.3873258703525303e+05 -1.3730271136756742e+05 -1.3627484518905825e+05 -1.3590661229211022e+05 -1.3656791806138298e+05 -1.3880147474258035e+05 -1.4342942128198128e+05 -1.5175412763837969e+05 -1.6595789510498531e+05 1.1785884902658783e+04 +6.6560331609931611e-03 9.7967055542708302e+04 2.8282648143965466e+05 5.9941282963190449e+05 1.0090045722598777e+06 1.4061878652763916e+06 1.6329303624119961e+06 1.6195928774853356e+06 1.4837771268085758e+06 1.3443271769118952e+06 1.2247939508004417e+06 1.1109637169948355e+06 1.0009851673723193e+06 8.9778312036381988e+05 8.0235255985487893e+05 7.1443149880696577e+05 6.3447614603313420e+05 5.6273942788810271e+05 4.9866557233623031e+05 4.4150729381438013e+05 3.9056094597999234e+05 3.4520712914690794e+05 3.0524187812291668e+05 2.7348991797790886e+05 2.5563212516241177e+05 2.3995007838274990e+05 2.1543418756141645e+05 1.8913700812027906e+05 1.6527552855388989e+05 1.4423271389582605e+05 1.2575627300857374e+05 1.0956671122479840e+05 9.5409044844456555e+04 8.3054003708430435e+04 7.2295769751315034e+04 6.2949654243905861e+04 5.4849953675243254e+04 4.7848034084305771e+04 4.1810596644403384e+04 3.6618128778826904e+04 3.2163510108579878e+04 2.8090029086966922e+04 2.4651622870074825e+04 2.1754170803095898e+04 1.9314372602736599e+04 1.7258695186918121e+04 1.5522447037627026e+04 1.4048947158705207e+04 1.2788751107378686e+04 1.1698906017335268e+04 1.0742123183322594e+04 9.8859227010693467e+03 9.1019361350023391e+03 8.3648609903326706e+03 7.6504695028455681e+03 6.9343109211098154e+03 6.1895604041870265e+03 5.3834611116068181e+03 4.4726394301471255e+03 3.3953291207481275e+03 2.0592435882167315e+03 3.2057282994107550e+02 -2.0478716100160339e+03 -5.4014615435941441e+03 -1.0263565344875818e+04 -1.7318067720387182e+04 -2.7285589672537768e+04 -4.0654025186162835e+04 -5.7345630034960355e+04 -7.6506848603367907e+04 -9.6600197929617556e+04 -1.1579719300672463e+05 -1.3248671729235278e+05 -1.4566747652366932e+05 -1.5509759179838977e+05 -1.6115419627517986e+05 -1.6459082484986237e+05 -1.6625019041330079e+05 -1.6686190762385167e+05 -1.6694192742400305e+05 -1.6684715153256388e+05 -1.6669481722612240e+05 -1.6651478872302067e+05 -1.6631656846003394e+05 -1.6610896284374414e+05 -1.6588968221210307e+05 -1.6565892829163134e+05 -1.6540767996988099e+05 -1.6513875076522230e+05 -1.6484719747799612e+05 -1.6452914623665647e+05 -1.6417989231682612e+05 -1.6379414124601427e+05 -1.6336584894438728e+05 -1.6288817573846827e+05 -1.6235400065766432e+05 -1.6175504191380864e+05 -1.6108260812687725e+05 -1.6032733462574557e+05 -1.5947956637752708e+05 -1.5852962455348487e+05 -1.5746831111263507e+05 -1.5628965556044877e+05 -1.5498345767657991e+05 -1.5354976078187698e+05 -1.5199188716965812e+05 -1.5032205222304212e+05 -1.4856104866808257e+05 -1.4674846257204580e+05 -1.4494458501542747e+05 -1.4323908628141624e+05 -1.4176276320740985e+05 -1.4070150828316843e+05 -1.4032131277359431e+05 -1.4100409972840818e+05 -1.4331020998717696e+05 -1.4808848778697962e+05 -1.5668360671957087e+05 -1.7134876369516487e+05 1.1931367526680846e+04 +6.6970558788560768e-03 9.7779274443175716e+04 2.8243376334180078e+05 5.9867084275762853e+05 1.0078193403152253e+06 1.4045990259684084e+06 1.6311646838073321e+06 1.6179352045370974e+06 1.4823566516585483e+06 1.3431396396778976e+06 1.2238130478163653e+06 1.1101754319491263e+06 1.0003751027423608e+06 8.9733354592811025e+05 8.0204478996099683e+05 7.1424703653532779e+05 6.3439703707452514e+05 5.6274904274458077e+05 4.9874903476246609e+05 4.4165143062847655e+05 3.9075413579590491e+05 3.4543917655676947e+05 3.0550439875656215e+05 2.7378142356343975e+05 2.5596692786396912e+05 2.4033127476635791e+05 2.1584124024550506e+05 1.8955466735679898e+05 1.6569566288827072e+05 1.4464947366019810e+05 1.2616494323966283e+05 1.0996349170643852e+05 9.5790936954964680e+04 8.3418714073286101e+04 7.2641622392117482e+04 6.3275509746227646e+04 5.5155134615955983e+04 4.8132256150417452e+04 4.2073904961820546e+04 3.6860839077004974e+04 3.2386154325365886e+04 2.8291894086238524e+04 2.4833660681675265e+04 2.1917424548483970e+04 1.9459926319397644e+04 1.7387629199238781e+04 1.5635798575309120e+04 1.4147675490891834e+04 1.2873705706586778e+04 1.1770795483985796e+04 1.0801481421819442e+04 9.9330681602387358e+03 9.1369247066701519e+03 8.3874247768830392e+03 7.6599252331024645e+03 6.9294431035746966e+03 6.1684503566844642e+03 5.3432287670063897e+03 4.4090422342463626e+03 3.3021204668316805e+03 1.9271329549110503e+03 1.3551658686352386e+02 -2.3073991577800580e+03 -5.7685312340999526e+03 -1.0787895176385246e+04 -1.8070444616613255e+04 -2.8357986300514862e+04 -4.2151301174461623e+04 -5.9367602668483749e+04 -7.9125023884853290e+04 -9.9838232902315780e+04 -1.1962347554500493e+05 -1.3682188340219893e+05 -1.5040312106395449e+05 -1.6011902713740262e+05 -1.6635878105105829e+05 -1.6989904959152426e+05 -1.7160818892110535e+05 -1.7223794593462418e+05 -1.7231989885243034e+05 -1.7222189701971313e+05 -1.7206458644724631e+05 -1.7187873398553807e+05 -1.7167412058585379e+05 -1.7145982504044723e+05 -1.7123347887819135e+05 -1.7099529452079319e+05 -1.7073595243466523e+05 -1.7045835996558462e+05 -1.7015741457151019e+05 -1.6982911765352372e+05 -1.6946861295833284e+05 -1.6907043541235742e+05 -1.6862834517452499e+05 -1.6813528755453727e+05 -1.6758390479380020e+05 -1.6696565153506884e+05 -1.6627155632832818e+05 -1.6549195290471255e+05 -1.6461687523645986e+05 -1.6363633266278473e+05 -1.6254082982443835e+05 -1.6132420900918415e+05 -1.5997593429480123e+05 -1.5849605349473385e+05 -1.5688799583313405e+05 -1.5516437025504190e+05 -1.5334663929995918e+05 -1.5147566417451986e+05 -1.4961367717504519e+05 -1.4785324181682765e+05 -1.4632936174693238e+05 -1.4523392044852994e+05 -1.4484147654262761e+05 -1.4554625784829285e+05 -1.4792665492499634e+05 -1.5285885526203207e+05 -1.6173084665982955e+05 -1.7686841533834540e+05 1.2078644438386222e+04 +6.7383314295009445e-03 9.7590680323147390e+04 2.8204043643615313e+05 5.9792858344015817e+05 1.0066341319519698e+06 1.4030100867960083e+06 1.6293979747807083e+06 1.6162750703161664e+06 1.4809322381563298e+06 1.3419468265526008e+06 1.2228256428511711e+06 1.1093795598018963e+06 9.9975654262302304e+05 8.9687474672788754e+05 8.0172724010908254e+05 7.1405241248855065e+05 6.3430753899956762e+05 5.6274816923387430e+05 4.9882201802323275e+05 4.4178519019275031e+05 3.9093712878778268e+05 3.4566127288148325e+05 3.0575725584025745e+05 2.7406346808058239e+05 2.5629212223127350e+05 2.4070268484334697e+05 2.1623873176667903e+05 1.8996321156990115e+05 1.6610719494522060e+05 1.4505817261748732e+05 1.2656610872375802e+05 1.1035332761428897e+05 9.6166439914742761e+04 8.3777578437990320e+04 7.2982153614623836e+04 6.3596544671590993e+04 5.5455967935962180e+04 4.8412572450281012e+04 4.2333715880404037e+04 3.7100425203322324e+04 3.2606011433528907e+04 2.8491293284757117e+04 2.5013511602844941e+04 2.2078728249512322e+04 1.9603725375480466e+04 1.7514963217280580e+04 1.5747664856726413e+04 1.4244994146020619e+04 1.2957287760550927e+04 1.1841311694589365e+04 1.0859428236389020e+04 9.9787264470659466e+03 9.1703117472505928e+03 8.4082314477355812e+03 7.6674217947939496e+03 6.9223587103145364e+03 6.1447967399675917e+03 5.3000343999521483e+03 4.3419398104149022e+03 3.2046877558040096e+03 1.7898251365588137e+03 -5.6087392548417711e+01 -2.5753942632133244e+03 -6.1468462547698946e+03 -1.1327505535315920e+04 -1.8843869989052921e+04 -2.9459364961035782e+04 -4.3687855245064769e+04 -6.1441283732532087e+04 -8.1808746554304613e+04 -1.0315596072914665e+05 -1.2354269833251162e+05 -1.4126133868493370e+05 -1.5525192511479996e+05 -1.6525992211918210e+05 -1.7168684806704687e+05 -1.7533302394075843e+05 -1.7709301817203590e+05 -1.7774119803926878e+05 -1.7782511287403578e+05 -1.7772380424239521e+05 -1.7756139786229117e+05 -1.7736958301203098e+05 -1.7715842502137943e+05 -1.7693728121661072e+05 -1.7670370234214817e+05 -1.7645791176797665e+05 -1.7619028442777664e+05 -1.7590382373211367e+05 -1.7559326402449521e+05 -1.7525447902887326e+05 -1.7488245737890157e+05 -1.7447155936268184e+05 -1.7401534473989910e+05 -1.7350653874774789e+05 -1.7293754119444016e+05 -1.7229953693754485e+05 -1.7158326782865037e+05 -1.7077875886749581e+05 -1.6987572567410136e+05 -1.6886385837682313e+05 -1.6773335725842128e+05 -1.6647787298920425e+05 -1.6508652596198703e+05 -1.6355936860763456e+05 -1.6189993960847496e+05 -1.6012125078460638e+05 -1.5824545033627364e+05 -1.5631470477627023e+05 -1.5439323353782381e+05 -1.5257656184549435e+05 -1.5100399964556666e+05 -1.4987356317006043e+05 -1.4946858108084823e+05 -1.5019587709151249e+05 -1.5265231850832276e+05 -1.5774208297079484e+05 -1.6689749722146001e+05 -1.8251865420980679e+05 1.2227737739047483e+04 +6.7798613711964250e-03 9.7401262359746106e+04 2.8164649133700231e+05 5.9718603562563413e+05 1.0054489401639202e+06 1.4014210546582357e+06 1.6276302837607414e+06 1.6146124945051880e+06 1.4795039417573563e+06 1.3407488111805758e+06 1.2218318206663837e+06 1.1085761963929499e+06 9.9912959181348747e+05 8.9640683334806515e+05 8.0140002423059195e+05 7.1384774158815469e+05 6.3420776557429717e+05 5.6273691811404889e+05 4.9888462855436240e+05 4.4190867346150306e+05 3.9111001949691010e+05 3.4587350552762131e+05 3.0600052922221570e+05 2.7433612463483145e+05 2.5660777754299867e+05 2.4106437335556513e+05 2.1662671799826660e+05 1.9036268582959136e+05 1.6651015873383710e+05 1.4545883390938627e+05 1.2695978213125539e+05 1.1073622169508845e+05 9.6535547213144266e+04 8.4130581791565739e+04 7.3317340730633397e+04 6.3912729517827356e+04 5.5752418202485176e+04 4.8688942504404993e+04 4.2589984742308421e+04 3.7336839159112176e+04 3.2823030888874484e+04 2.8688174228321910e+04 2.5191122048550267e+04 2.2238027880845260e+04 1.9745715896661317e+04 1.7640643997016381e+04 1.5857993620360723e+04 1.4340852052672848e+04 1.3039447432294288e+04 1.1910405912228121e+04 1.0915915668641141e+04 1.0022849874091105e+04 9.2020491557280893e+03 8.4272316360802979e+03 7.6729075299610749e+03 6.9130025661667214e+03 6.1185393656014248e+03 5.2538109199548417e+03 4.2712556822053903e+03 3.1029417254622967e+03 1.6472132658041935e+03 -2.5437059510254534e+02 -2.8520233515964192e+03 -6.5366229385805491e+03 -1.1882683370315290e+04 -1.9638727720055362e+04 -3.0590236050199761e+04 -4.5264352433994776e+04 -6.3567513766567339e+04 -8.4559041425978154e+04 -1.0655458515306113e+05 -1.2755622580998341e+05 -1.4580658091608630e+05 -1.6021548828772895e+05 -1.7052194751842204e+05 -1.7714011296323285e+05 -1.8089448848962464e+05 -1.8270643036566494e+05 -1.8337341991999527e+05 -1.8345932528680161e+05 -1.8335462772721681e+05 -1.8318700428683151e+05 -1.8298908668561830e+05 -1.8277123055369983e+05 -1.8254307797267853e+05 -1.8230209689783875e+05 -1.8204852190182288e+05 -1.8177241517567908e+05 -1.8147687846350539e+05 -1.8115647916954584e+05 -1.8080696035110715e+05 -1.8042315189467691e+05 -1.7999923535651006e+05 -1.7952856539633122e+05 -1.7900364205202556e+05 -1.7841661697691816e+05 -1.7775839894053002e+05 -1.7701943637650809e+05 -1.7618943832093291e+05 -1.7525779458253921e+05 -1.7421386859940243e+05 -1.7304754915830729e+05 -1.7175229085219986e+05 -1.7031686229512197e+05 -1.6874132066215668e+05 -1.6702931665656206e+05 -1.6519427441446754e+05 -1.6325904386301615e+05 -1.6126712740416187e+05 -1.5928477816276677e+05 -1.5741055249460167e+05 -1.5578816750727044e+05 -1.5462191589279761e+05 -1.5420410183477896e+05 -1.5495444008427433e+05 -1.5748870761130608e+05 -1.6273972802976583e+05 -1.7218520589473002e+05 -1.8830128200001479e+05 1.2378669801643642e+04 +6.8216472718151608e-03 9.7211009161897207e+04 2.8125191251887812e+05 5.9644319344959396e+05 1.0042637391384757e+06 1.3998318961235646e+06 1.6258616257096834e+06 1.6129475308229728e+06 1.4780718092310824e+06 1.3395456607257896e+06 1.2208316635702418e+06 1.1077654360163913e+06 9.9849435374101356e+05 8.9592991464131081e+05 8.0106325482798333e+05 7.1363313729809504e+05 6.3409782914452278e+05 5.6271539887207642e+05 4.9893697167391196e+05 4.4202198041399999e+05 3.9127290165097645e+05 3.4607596124661289e+05 3.0623429825800209e+05 2.7459946600163379e+05 2.5691396291877018e+05 2.4141640508715314e+05 2.1700525507239069e+05 1.9075313566993392e+05 1.6690458891522264e+05 1.4585148149557246e+05 1.2734597709182558e+05 1.1111217776972396e+05 9.6898253501700456e+04 8.4477710346318490e+04 7.3647162307806197e+04 6.4224036045331159e+04 5.6044451227054677e+04 4.8961327036341274e+04 4.2842668029988010e+04 3.7570034004932619e+04 3.3037163108902285e+04 2.8882485305159327e+04 2.5366439145106680e+04 2.2395269990209690e+04 1.9885844440019460e+04 1.7764618585502540e+04 1.5966732761576384e+04 1.4435198172581177e+04 1.3120134808565408e+04 1.1978029230862756e+04 1.0970895515624254e+04 1.0065390449447093e+04 9.2320884790499640e+03 8.4443755827144360e+03 7.6763303497187508e+03 6.9013190228050134e+03 6.0896175203545890e+03 5.2044906449478367e+03 4.1969126927317984e+03 2.9967923130920931e+03 1.4991895107545308e+03 -4.5946569758162650e+02 -3.1374543459661750e+03 -6.9380795229825344e+03 -1.2453718033889016e+04 -2.0455404632840993e+04 -3.1751113361836928e+04 -4.6881461393383797e+04 -6.5747136769013770e+04 -8.7376936194781432e+04 -1.1003531187286424e+05 -1.3166542327035053e+05 -1.5045910762964629e+05 -1.6529540901717203e+05 -1.7590677222812345e+05 -1.8272028902868080e+05 -1.8658518120271404e+05 -1.8845017493159356e+05 -1.8913636472703537e+05 -1.8922428903589322e+05 -1.8911611914466752e+05 -1.8894315567993108e+05 -1.8873899303640306e+05 -1.8851428311929115e+05 -1.8827895906281722e+05 -1.8803040399588805e+05 -1.8776886395105851e+05 -1.8748408106952618e+05 -1.8717925772769100e+05 -1.8684879051415229e+05 -1.8648828878849163e+05 -1.8609242000732225e+05 -1.8565518284620150e+05 -1.8516972209959151e+05 -1.8462830740981959e+05 -1.8402283647560878e+05 -1.8334393559081192e+05 -1.8258175295945932e+05 -1.8172567432377834e+05 -1.8076475612145371e+05 -1.7968802751727498e+05 -1.7848505856923485e+05 -1.7714910327067116e+05 -1.7566857025465611e+05 -1.7404352156827188e+05 -1.7227772253319566e+05 -1.7038501917107444e+05 -1.6838897941999161e+05 -1.6633447256986584e+05 -1.6428983262510382e+05 -1.6235671743613371e+05 -1.6068335350568130e+05 -1.5948045564986911e+05 -1.5904951184626212e+05 -1.5982342703557466e+05 -1.6243732665174385e+05 -1.6785334501718861e+05 -1.7759561748435735e+05 -1.9421809746256474e+05 1.2531463274192205e+04 +6.8636907088929656e-03 9.7019909007599941e+04 2.8085669588432543e+05 5.9570004672439210e+05 1.0030785445590701e+06 1.3982426405877545e+06 1.6240919926107877e+06 1.6112802191904574e+06 1.4766358981685941e+06 1.3383374411018679e+06 1.2198252520541397e+06 1.1069473719138699e+06 9.9785093023115688e+05 8.9544409792052419e+05 8.0071704294527287e+05 7.1340871160575189e+05 6.3397784063036111e+05 5.6268371972676099e+05 4.9897915157179936e+05 4.4212521004446893e+05 3.9142586815078981e+05 3.4626872611895372e+05 3.0645864179425116e+05 2.7485356460393150e+05 2.5721074729438813e+05 2.4175884483479630e+05 2.1737439934541465e+05 1.9113460705332216e+05 1.6729052076466137e+05 1.4623614011451599e+05 1.2772470815557023e+05 1.1148120069556803e+05 9.7254554557849493e+04 8.4818951502897195e+04 7.3971598138848596e+04 6.4530437250148570e+04 5.6332034042765103e+04 4.9229687954186993e+04 4.3091723352548353e+04 3.7799963851194880e+04 3.3248359468242867e+04 2.9074175745901441e+04 2.5539410734813304e+04 2.2550401706553803e+04 2.0024058005469709e+04 1.7886834334873289e+04 1.6073830348075362e+04 1.4527981516619566e+04 1.3199299915421978e+04 1.2044132590076189e+04 1.1024319342929415e+04 1.0106299888310288e+04 9.2603809218617553e+03 8.4596131442829010e+03 7.6776377413060018e+03 6.8872519647720092e+03 6.0579699715949637e+03 5.1520053062237366e+03 4.1188330093314544e+03 2.8861486600224712e+03 1.3456450796298159e+03 -6.7150656168217358e+02 -3.4318566609378913e+03 -7.3514361410908241e+03 -1.3040901267669555e+04 -2.1294290464910762e+04 -3.2942514040002810e+04 -4.8539854311483323e+04 -6.7981000073368385e+04 -9.0263461259540738e+04 -1.1359934831113571e+05 -1.3587165657136933e+05 -1.5522041578290678e+05 -1.7049328418703182e+05 -1.8141606285943667e+05 -1.8842908678354512e+05 -1.9240683698983918e+05 -1.9432599809776797e+05 -1.9503178234636900e+05 -1.9512175377989918e+05 -1.9501002687458202e+05 -1.9483159871177629e+05 -1.9462104680740350e+05 -1.9438932537159818e+05 -1.9414666496135961e+05 -1.9389036181174297e+05 -1.9362067367465471e+05 -1.9332701523551706e+05 -1.9301269183294586e+05 -1.9267192531156383e+05 -1.9230018826190900e+05 -1.9189198197807616e+05 -1.9144111805082115e+05 -1.9094052658043877e+05 -1.9038224154794542e+05 -1.8975790082029247e+05 -1.8905784174205977e+05 -1.8827190538514240e+05 -1.8738914676984373e+05 -1.8639828130138596e+05 -1.8528799618791413e+05 -1.8404753542766918e+05 -1.8266994783233019e+05 -1.8114327374168829e+05 -1.7946758020492250e+05 -1.7764674979387614e+05 -1.7569506011305624e+05 -1.7363681361446346e+05 -1.7151827788838508e+05 -1.6940991563813147e+05 -1.6741655751449536e+05 -1.6569104301654050e+05 -1.6445065669703696e+05 -1.6400628138703748e+05 -1.6480431537132995e+05 -1.6749967721866135e+05 -1.7308448558778514e+05 -1.8313037370229210e+05 -2.0027089596834499e+05 1.2686141083119073e+04 +6.9059932696883836e-03 9.6827952117595152e+04 2.8046082341832790e+05 5.9495657932482986e+05 1.0018933433257637e+06 1.3966532745427436e+06 1.6223214201202616e+06 1.6096105816702961e+06 1.4751962601710518e+06 1.3371242200761794e+06 1.2188126669145313e+06 1.1061220959078253e+06 9.9719942113410449e+05 8.9494948917677614e+05 8.0036149813051545e+05 7.1317457502840564e+05 6.3384790954131261e+05 5.6264198764034489e+05 4.9901127130668238e+05 4.4221846035768843e+05 3.9156901105652266e+05 3.4645188554095407e+05 3.0667363815082901e+05 2.7509849249127827e+05 2.5749819939595903e+05 2.4209175737802955e+05 2.1773420736529882e+05 1.9150714633412080e+05 1.6766799013365273e+05 1.4661283524563705e+05 1.2809599075445681e+05 1.1184329632862906e+05 9.7604447249018674e+04 8.5154293817036989e+04 7.4290629210648694e+04 6.4831907336351112e+04 5.6615134880563550e+04 4.9493988331132023e+04 4.3337109430868361e+04 3.8026583848206647e+04 3.3456572293117875e+04 2.9263195622946150e+04 2.5709985379548798e+04 2.2703370747876113e+04 2.0160304046683468e+04 1.8007238915486294e+04 1.6179234634642595e+04 1.4619151160216521e+04 1.3276892733544204e+04 1.2108666789255394e+04 1.1076138497652901e+04 1.0145529624173720e+04 9.2868773561559119e+03 8.4728938014872565e+03 7.6767767750104804e+03 6.8707448154888598e+03 6.0235349725801934e+03 5.0962860532585828e+03 4.0369381280955349e+03 2.7709191160250957e+03 1.1864702252068446e+03 -8.9062822920369354e+02 -3.7354011968747027e+03 -7.7769148132282662e+03 -1.3644527188032924e+04 -2.2155777841983185e+04 -3.4164958532294419e+04 -5.0240206834155892e+04 -7.0269954226638598e+04 -9.3219649549847978e+04 -1.1724790338416176e+05 -1.4017629185330434e+05 -1.6009200142687693e+05 -1.7581070876416322e+05 -1.8705148334878442e+05 -1.9426821356993387e+05 -1.9836118728660879e+05 -2.0033564246669813e+05 -2.0106141897100388e+05 -2.0115346546325856e+05 -2.0103809558004027e+05 -2.0085407633662582e+05 -2.0063698902927194e+05 -2.0039809625610634e+05 -2.0014793243958231e+05 -1.9988370482280833e+05 -1.9960568313773733e+05 -1.9930294711163870e+05 -1.9897890740554390e+05 -1.9862760713931863e+05 -1.9824437902314853e+05 -1.9782355440711297e+05 -1.9735875353730601e+05 -1.9684268692732212e+05 -1.9626714756141941e+05 -1.9562350752056681e+05 -1.9490180864113657e+05 -1.9409157786991281e+05 -1.9318153197837435e+05 -1.9216003757752397e+05 -1.9101543213384997e+05 -1.8973662615896188e+05 -1.8831645863984784e+05 -1.8674259320181588e+05 -1.8501510202731393e+05 -1.8313798760486473e+05 -1.8112596894790599e+05 -1.7900409974082795e+05 -1.7682007770253997e+05 -1.7464654268369550e+05 -1.7259157038047220e+05 -1.7081271825448831e+05 -1.6953399015313029e+05 -1.6907587759987309e+05 -1.6989857937334222e+05 -1.7267725770548781e+05 -1.7843469809440462e+05 -1.8879111276632798e+05 -2.0646146906732701e+05 1.2842726436671557e+04 +6.9485565512426104e-03 9.6635122612392588e+04 2.8006428828176408e+05 5.9421278306167317e+05 1.0007081264194218e+06 1.3950638206488548e+06 1.6205499156463188e+06 1.6079386585898406e+06 1.4737529457739969e+06 1.3359060644820035e+06 1.2177939884495612e+06 1.1052896978682315e+06 9.9653992431895074e+05 8.9444619302773464e+05 7.9999672839609545e+05 7.1293083663092658e+05 6.3370814400993765e+05 5.6259030832764355e+05 4.9903343279988313e+05 4.4230182835865353e+05 3.9170242157507566e+05 3.4662552420895942e+05 3.0687936510263901e+05 2.7533432132093312e+05 2.5777638771680466e+05 2.4241520744994003e+05 2.1808473583835550e+05 1.9187080022394331e+05 1.6803703341375780e+05 1.4698159307052742e+05 1.2845984116417772e+05 1.1219847148643699e+05 9.7947929496602228e+04 8.5483726965965077e+04 7.4604237673303753e+04 6.5128421688637354e+04 5.6893723145797558e+04 4.9754192386183466e+04 4.3578786082403887e+04 3.8249850175320891e+04 3.3661754855186504e+04 2.9449495848858336e+04 2.5878112363505250e+04 2.2854125427613591e+04 2.0294530480942758e+04 1.8125780328455159e+04 1.6282894077235796e+04 1.4708656258241437e+04 1.3352863212953071e+04 1.2171582501760857e+04 1.1126304121110947e+04 1.0183030820045115e+04 9.3115283308364233e+03 8.4841666671354797e+03 7.6736941110357138e+03 6.8517405431630223e+03 5.9862502676761787e+03 5.0372634584195503e+03 3.9511488782512079e+03 2.6510112435275623e+03 1.0215542490578003e+03 -1.1169669175001131e+03 -4.0482603343475344e+03 -8.2147394388896937e+03 -1.4264892272424564e+04 -2.3040262252560235e+04 -3.5418970543854011e+04 -5.1983197987323583e+04 -7.2614852869183233e+04 -9.6246536354629250e+04 -1.2098218727693448e+05 -1.4458069525972227e+05 -1.6507535938193524e+05 -1.8124927543792469e+05 -1.9281469457147855e+05 -2.0023937314784830e+05 -2.0444995964105366e+05 -2.0648084659669793e+05 -2.0722701668441601e+05 -2.0732116589782387e+05 -2.0720206578792320e+05 -2.0701232737405182e+05 -2.0678855660221924e+05 -2.0654233059165298e+05 -2.0628449414752790e+05 -2.0601216339035227e+05 -2.0572562029575242e+05 -2.0541360203252328e+05 -2.0507962697456358e+05 -2.0471755548546364e+05 -2.0432257724272943e+05 -2.0388884982167103e+05 -2.0340979780899567e+05 -2.0287790717581322e+05 -2.0228472450401931e+05 -2.0162135005809902e+05 -2.0087752352212035e+05 -2.0004245063343737e+05 -1.9910450229090903e+05 -1.9805168844830393e+05 -1.9687198894474463e+05 -1.9555397328175121e+05 -1.9409026591837840e+05 -1.9246814523535821e+05 -1.9068768868094287e+05 -1.8875302136200000e+05 -1.8667931365313914e+05 -1.8449238740834803e+05 -1.8224140271472067e+05 -1.8000122564760008e+05 -1.7788325013074811e+05 -1.7604985791712764e+05 -1.7473192364573976e+05 -1.7425976414647585e+05 -1.7510768982502585e+05 -1.7797156295045090e+05 -1.8390552721628503e+05 -1.9457946900747778e+05 -2.1279160405847296e+05 1.3001242828372258e+04 +6.9913821604397864e-03 9.6441413692480986e+04 2.7966707226148027e+05 5.9346865018298128e+05 9.9952287540799065e+05 1.3934742612655733e+06 1.6187774988236979e+06 1.6062644692791710e+06 1.4723060021689495e+06 1.3346830422897497e+06 1.2167692941771918e+06 1.1044502657967249e+06 9.9587253616535012e+05 8.9393431246917718e+05 7.9962284018893226e+05 7.1267760404470307e+05 6.3355865081645874e+05 5.6252878625505115e+05 4.9904573683192756e+05 4.4237541004910809e+05 3.9182619005053904e+05 3.4678972610783781e+05 3.0707589986484230e+05 2.7556112233683898e+05 2.5804538049300658e+05 2.4272925971005217e+05 2.1842604159823872e+05 1.9222561575711891e+05 1.6839768749945544e+05 1.4734244043714736e+05 1.2881627646733062e+05 1.1254673391120697e+05 9.8285000240750742e+04 8.5807241714504373e+04 7.4912406809504944e+04 6.5419956844646098e+04 5.7167769393910654e+04 5.0010265463980795e+04 4.3816714205608761e+04 3.8469720029573924e+04 3.3863861364414195e+04 2.9633028173944756e+04 2.6043741695190103e+04 2.3002614660629748e+04 2.0426685698258800e+04 1.8242406917245640e+04 1.6384757346405600e+04 1.4796446059264605e+04 1.3427161287400508e+04 1.2232830288477240e+04 1.1174767161293355e+04 1.0218754379405300e+04 9.3342840811673414e+03 8.4933804941971775e+03 7.6683360063117470e+03 6.8301816666077730e+03 5.9460530974201329e+03 4.9748675215368912e+03 3.8613854263882472e+03 2.5263318216594171e+03 8.5078550555022809e+02 -1.3506600152122805e+03 -4.3706079289598229e+03 -8.6651357891400439e+03 -1.4902295346002489e+04 -2.3948142023344571e+04 -3.6705076992527087e+04 -5.3769510101028594e+04 -7.5016552616749061e+04 -9.9345159154163426e+04 -1.2480341122093394e+05 -1.4908623266471754e+05 -1.7017198291943502e+05 -1.8681057426603467e+05 -1.9870735396060179e+05 -2.0634426529885182e+05 -2.1067487730841307e+05 -2.1276334459309277e+05 -2.1353031304625134e+05 -2.1362659235044569e+05 -2.1350367347717553e+05 -2.1330808609824526e+05 -2.1307748188423441e+05 -2.1282375866133542e+05 -2.1255807820414452e+05 -2.1227746335129382e+05 -2.1198220858533628e+05 -2.1166070082089561e+05 -2.1131656856496001e+05 -2.1094348534137366e+05 -2.1053649460290611e+05 -2.1008957627071001e+05 -2.0959595490129580e+05 -2.0904788690483966e+05 -2.0843666698634607e+05 -2.0775311748639215e+05 -2.0698666920700623e+05 -2.0612619950160518e+05 -2.0515972567550390e+05 -2.0407489306212630e+05 -2.0285931588594092e+05 -2.0150121501996758e+05 -1.9999299563035564e+05 -1.9832154221534784e+05 -1.9648693762336933e+05 -1.9449343231479032e+05 -1.9235665810626140e+05 -1.9010322217347502e+05 -1.8778377962391966e+05 -1.8547547246210900e+05 -1.8329308695534605e+05 -1.8140393683542090e+05 -1.8004592096471047e+05 -1.7955940086114054e+05 -1.8043311366406668e+05 -1.8338408388255458e+05 -1.8949851359289151e+05 -2.0049707248268521e+05 -2.1926308356702226e+05 1.3161714040514227e+04 +7.0344717140676631e-03 9.6246810889806758e+04 2.7926917170783802e+05 5.9272416357180895e+05 9.9833758845027839e+05 1.3918845761763828e+06 1.6170041768869557e+06 1.6045880612673615e+06 1.4708554831239993e+06 1.3334552146563530e+06 1.2157386596632146e+06 1.1036038864420815e+06 9.9519735201655084e+05 8.9341394871699892e+05 7.9923993837509071e+05 7.1241498347699537e+05 6.3339953540895774e+05 5.6245752463817911e+05 4.9904828304248129e+05 4.4243930042380927e+05 3.9194040595262323e+05 3.4694457449734811e+05 3.0726331907497934e+05 2.7577896635213785e+05 2.5830524568197539e+05 2.4303397871632304e+05 2.1875818157449501e+05 1.9257164025689740e+05 1.6874998975386520e+05 1.4769540482184850e+05 1.2916531451630208e+05 1.1288809223341242e+05 9.8615659404639489e+04 8.6124829882157675e+04 7.5215121003457331e+04 6.5706490467210417e+04 5.7437245306321187e+04 5.0262174014249940e+04 4.4050855763238695e+04 3.8686151613698574e+04 3.4062846961388561e+04 2.9813745183006165e+04 2.6206824108436966e+04 2.3148787968056418e+04 2.0556718569595283e+04 1.8357067378592172e+04 1.6484773340089556e+04 1.4882469919395005e+04 1.3499736888281721e+04 1.2292360611215805e+04 1.1221478385121627e+04 1.0252650957036836e+04 9.3550945380845424e+03 8.5004836836437826e+03 7.6606483211476625e+03 6.8060102609418363e+03 5.9028802035174758e+03 4.9090276743401391e+03 3.7675672805323761e+03 2.3967868500690415e+03 6.7405140561927215e+02 -1.5918460782921675e+03 -4.7026193065262260e+03 -9.1283314994495686e+03 -1.5557037569046326e+04 -2.4879818295067609e+04 -3.8023807964932799e+04 -5.5599828734781688e+04 -7.7475912944336786e+04 -1.0251655745434808e+05 -1.2871278727600088e+05 -1.5369426940392374e+05 -1.7538336344871167e+05 -1.9249619232686752e+05 -2.0473111513719702e+05 -2.1258458543915051e+05 -2.1703765885426375e+05 -2.1918486570594195e+05 -2.1997304069143478e+05 -2.2007147713891094e+05 -2.1994464967573757e+05 -2.1974308183404722e+05 -2.1950549228929405e+05 -2.1924410580921403e+05 -2.1897040779642240e+05 -2.1868132561544207e+05 -2.1837716652399814e+05 -2.1804595938767618e+05 -2.1769144529764834e+05 -2.1730710680337201e+05 -2.1688783790064606e+05 -2.1642743692752317e+05 -2.1591892398605822e+05 -2.1535432084269254e+05 -2.1472466478217728e+05 -2.1402049403732741e+05 -2.1323092371423836e+05 -2.1234449551747041e+05 -2.1134886533985593e+05 -2.1023130583165321e+05 -2.0897905751586187e+05 -2.0757998492076647e+05 -2.0602626909693284e+05 -2.0430439191255003e+05 -2.0241444175210816e+05 -2.0036079719988813e+05 -1.9815956172092512e+05 -1.9583814518142660e+05 -1.9344873077175027e+05 -1.9107078675520068e+05 -1.8882256679053421e+05 -1.8687642563017859e+05 -1.8547744172199655e+05 -1.8497624341106511e+05 -1.8587631364084641e+05 -1.8891630717501821e+05 -1.9521519346619683e+05 -2.0654554859624006e+05 -2.2587768512934051e+05 1.3324164147700982e+04 +7.0778268388786399e-03 9.6051300176238001e+04 2.7887056914001709e+05 5.9197931575502933e+05 9.9715226627974084e+05 1.3902948026268159e+06 1.6152299735942180e+06 1.6029094654700297e+06 1.4694014367055758e+06 1.3322226406578345e+06 1.2147021602344625e+06 1.1027506459997755e+06 9.9451446616953216e+05 8.9288520125524013e+05 7.9884812625926826e+05 7.1214307971324574e+05 6.3323090191207151e+05 5.6237662543237722e+05 4.9904116992659046e+05 4.4249359346193261e+05 3.9204515787064092e+05 3.4709015189902630e+05 3.0744169877922541e+05 2.7598792373051035e+05 2.5855605093894369e+05 2.4332942889897781e+05 2.1908121276311460e+05 1.9290892130289986e+05 1.6909397797291016e+05 1.4804051429478999e+05 1.2950697389680377e+05 1.1322255593587935e+05 9.8939907860439474e+04 8.6436484309773732e+04 7.5512365710265454e+04 6.5988001316352631e+04 5.7702123665840605e+04 5.0509885571221937e+04 4.4281173765793901e+04 3.8899104123370613e+04 3.4258667708844303e+04 2.9991600291371560e+04 2.6367311062656467e+04 2.3292595481465425e+04 2.0684578454403367e+04 1.8469710772682174e+04 1.6582891195630775e+04 1.4966677315368219e+04 1.3570539958075276e+04 1.2350123845733406e+04 1.1266388390448883e+04 1.0284670969663566e+04 9.3739093373476790e+03 8.5054242922929643e+03 7.6505765258161327e+03 6.7791679632072810e+03 5.8566678336948989e+03 4.8396727847433840e+03 3.6696132940262110e+03 2.2622815525725277e+03 4.9123842027930027e+02 -1.8406648263402278e+03 -5.0444712586449532e+03 -9.6045560630224554e+03 -1.6229422424823249e+04 -2.5835694999539657e+04 -3.9375696673458537e+04 -5.7474842604343205e+04 -7.9993796072155994e+04 -1.0576177262442705e+05 -1.3271152811629476e+05 -1.5840617001067745e+05 -1.8071099021055945e+05 -1.9830771337911283e+05 -2.1088762754338997e+05 -2.1896202423709570e+05 -2.2354001776436856e+05 -2.2574713393641618e+05 -2.2655692693290033e+05 -2.2665754723734333e+05 -2.2652672006491214e+05 -2.2631903856281689e+05 -2.2607430989254903e+05 -2.2580509204607148e+05 -2.2552320078436148e+05 -2.2522546577472950e+05 -2.2491220731744889e+05 -2.2457108833972184e+05 -2.2420596499855097e+05 -2.2381012468210844e+05 -2.2337830865694585e+05 -2.2290412970170379e+05 -2.2238039898308358e+05 -2.2179889847961522e+05 -2.2115040244263934e+05 -2.2042515873755701e+05 -2.1961195987585082e+05 -2.1869900455819076e+05 -2.1767357935038194e+05 -2.1652257605568759e+05 -2.1523285330865681e+05 -2.1379191148251016e+05 -2.1219170262794095e+05 -2.1041829712804165e+05 -2.0847178904132679e+05 -2.0635668787997105e+05 -2.0408957909071437e+05 -2.0169869281409396e+05 -1.9923777379444448e+05 -1.9678866750754317e+05 -1.9447317097978987e+05 -1.9246879037726211e+05 -1.9102794101775531e+05 -1.9051174296420108e+05 -1.9143874798415092e+05 -1.9456971490621642e+05 -2.0105709832979841e+05 -2.1272651772811293e+05 -2.3263718078724193e+05 1.3488617520427029e+04 +7.1214491716511778e-03 9.5854871990416010e+04 2.7847125568012241e+05 5.9123409771610727e+05 9.9596688649030472e+05 1.3887049221812140e+06 1.6134548877500077e+06 1.6012287072594757e+06 1.4679439075578095e+06 1.3309853840301568e+06 1.2136598686138103e+06 1.1018906294076915e+06 9.9382397161590308e+05 8.9234816807374742e+05 7.9844750564231444e+05 7.1186199610049126e+05 6.3305285312471574e+05 5.6228618933244434e+05 4.9902449483544420e+05 4.4253838212454383e+05 3.9214053350766178e+05 3.4722654008626612e+05 3.0761111441618501e+05 2.7618806437021482e+05 2.5879786359660240e+05 2.4361567453465203e+05 2.1939519219615360e+05 1.9323750669886917e+05 1.6942969035172407e+05 1.4837779748366651e+05 1.2984127389242301e+05 1.1355013531837953e+05 9.9257747394040693e+04 8.6742198826759239e+04 7.5804127425202634e+04 6.6264469221466104e+04 5.7962378331970358e+04 5.0753368732290706e+04 4.4507632254308119e+04 3.9108537733947465e+04 3.4451280582584885e+04 3.0166547740183632e+04 2.6525154742213334e+04 2.3433987946064721e+04 2.0810215207178495e+04 1.8580286532523547e+04 1.6679060301224843e+04 1.5049017857152608e+04 1.3639520463301815e+04 1.2406070294264575e+04 1.1309447617714390e+04 1.0314764606354460e+04 9.3906778285860528e+03 8.5081500404084491e+03 7.6380657070262960e+03 6.7495959778265114e+03 5.8073517463803992e+03 4.7667311610041243e+03 3.5674416692469717e+03 2.1227203805419322e+03 3.0223208387242704e+02 -2.0972571392594168e+03 -5.3963420386493126e+03 -1.0094040824574753e+04 -1.6919755708133533e+04 -2.6816178837060193e+04 -4.0761279414731216e+04 -5.9395243510228604e+04 -8.2571066854403878e+04 -1.0908184773789630e+05 -1.3680084682065755e+05 -1.6322329795813112e+05 -1.8615634997675262e+05 -2.0424671752775763e+05 -2.1717853608521124e+05 -2.2547826724270490e+05 -2.3018366206403100e+05 -2.3245186765159050e+05 -2.3328369337579090e+05 -2.3338652388843795e+05 -2.3325160459228730e+05 -2.3303767453519101e+05 -2.3278565104399092e+05 -2.3250843166506826e+05 -2.3221816931715814e+05 -2.3191159371639465e+05 -2.3158903847505795e+05 -2.3123779259703084e+05 -2.3086182981526683e+05 -2.3045423811991431e+05 -2.3000960273601188e+05 -2.2952134685681443e+05 -2.2898206818000448e+05 -2.2838330368794990e+05 -2.2771555891734210e+05 -2.2696878503085821e+05 -2.2613144496175487e+05 -2.2519138696311673e+05 -2.2413552026094688e+05 -2.2295034754985981e+05 -2.2162233728854242e+05 -2.2013861778951119e+05 -2.1849090715909522e+05 -2.1666485533404053e+05 -2.1466056218558620e+05 -2.1248267099164292e+05 -2.1014825964041281e+05 -2.0768639634450449e+05 -2.0515242128231539e+05 -2.0263060871549987e+05 -2.0024637594122812e+05 -1.9818249227735095e+05 -1.9669886911428152e+05 -1.9616734586350364e+05 -1.9712187007473013e+05 -2.0034578422680119e+05 -2.0702575458530724e+05 -2.1904159487095394e+05 -2.3954333669129654e+05 1.3655098828704809e+04 +7.1653403592515938e-03 9.5657512255899026e+04 2.7807121667603176e+05 5.9048849324776384e+05 9.9478143691141740e+05 1.3871149226200250e+06 1.6116789408818518e+06 1.5995458195256453e+06 1.4664829438637684e+06 1.3297435046997601e+06 1.2126118573717198e+06 1.1010239193934845e+06 9.9312595977477252e+05 8.9180294599103928e+05 7.9803817689527781e+05 7.1157183451838256e+05 6.3286549050698266e+05 5.6218631577580224e+05 4.9899835397701745e+05 4.4257375834617397e+05 3.9222661967041116e+05 3.4735382007091225e+05 3.0777164080453024e+05 2.7637945768618176e+05 2.5903075064354463e+05 2.4389277972140501e+05 2.1970017691383159e+05 1.9355744444137346e+05 1.6975716545137466e+05 1.4870728353972777e+05 1.3016823444938652e+05 1.1387084146261038e+05 9.9569180671241935e+04 8.7041968218316513e+04 7.6090393653133404e+04 6.6535875053165582e+04 5.8217984215889723e+04 5.0992593136716619e+04 4.4730196282320481e+04 3.9314413586826835e+04 3.4640643461666703e+04 3.0338542590899415e+04 2.6680308055242564e+04 2.3572916723278166e+04 2.0933579183401449e+04 1.8688744472578015e+04 1.6773230306624573e+04 1.5129441299981117e+04 1.3706628407022594e+04 1.2460150197841218e+04 1.1350606361394048e+04 1.0342881838781346e+04 9.4053490841250041e+03 8.5086083192625920e+03 7.6230605742439675e+03 6.7172350819635021e+03 5.7548672153029447e+03 4.6901305556486595e+03 3.4609699611054380e+03 1.9780070160955067e+03 1.0691699704634027e+02 -2.3617650542468873e+03 -5.7584113579929744e+03 -1.0597018974713485e+04 -1.7628345514505214e+04 -2.7821679255079755e+04 -4.2181095528652870e+04 -6.1361726267546735e+04 -8.5208592669397811e+04 -1.1247782741614443e+05 -1.4098195666646899e+05 -1.6814701540562301e+05 -1.9172092675634869e+05 -2.1031478089854785e+05 -2.2360548078450465e+05 -2.3213499452186711e+05 -2.3697029394543532e+05 -2.3930077920727804e+05 -2.4015505553882328e+05 -2.4026012222457846e+05 -2.4012101709375178e+05 -2.3990070189309926e+05 -2.3964122599070452e+05 -2.3935583286285237e+05 -2.3905701945547547e+05 -2.3874141324746437e+05 -2.3840936143522445e+05 -2.3804777101711402e+05 -2.3766073584321811e+05 -2.3724114021747626e+05 -2.3678340997147601e+05 -2.3628077463990872e+05 -2.3572561386155817e+05 -2.3510921435304428e+05 -2.3442180718661737e+05 -2.3365304041052778e+05 -2.3279104031372216e+05 -2.3182329716655239e+05 -2.3073633474902349e+05 -2.2951625828432819e+05 -2.2814913766859125e+05 -2.2662172115384642e+05 -2.2492548789833591e+05 -2.2304565832276471e+05 -2.2098233825131084e+05 -2.1874030760075274e+05 -2.1633714728552080e+05 -2.1380278160122008e+05 -2.1119418044703841e+05 -2.0859809906336124e+05 -2.0614365284326251e+05 -2.0401898733603981e+05 -2.0249167111695281e+05 -2.0194449330923162e+05 -2.0292712812540526e+05 -2.0624598703469147e+05 -2.1312268320670971e+05 -2.2549238927485820e+05 -2.4659791271115240e+05 1.3823633045733250e+04 +7.2095020586962341e-03 9.5459208852133219e+04 2.7767043817618152e+05 5.8974248670275102e+05 9.9359591909924243e+05 1.3855248177229383e+06 1.6099021547522764e+06 1.5978608418501103e+06 1.4650185876893613e+06 1.3284970643306042e+06 1.2115581979086129e+06 1.1001505972159421e+06 9.9242052043295535e+05 8.9124963071732922e+05 7.9762023899283865e+05 7.1127269536525861e+05 6.3266891415370023e+05 5.6207710295256891e+05 4.9896284241635347e+05 4.4259981303116132e+05 3.9230350226470933e+05 3.4747207209505315e+05 3.0792335212752857e+05 2.7656217259443126e+05 2.5925477870465882e+05 2.4416080835449276e+05 2.1999622393615072e+05 1.9386878268877658e+05 1.7007644216645203e+05 1.4902900210348438e+05 1.3048787614193955e+05 1.1418468619753014e+05 9.9874211203891973e+04 8.7335788192919790e+04 7.6371152877884728e+04 6.6802200695530031e+04 5.8468917255491506e+04 5.1227529443801257e+04 4.4948831898084252e+04 3.9516693775051623e+04 3.4826715118095584e+04 3.0507540719053584e+04 2.6832724631333000e+04 2.3709333792401045e+04 2.1054621244613758e+04 1.8795034796697866e+04 1.6865351133129567e+04 1.5207897555751992e+04 1.3771813840850516e+04 1.2512313748126251e+04 1.1389814781101950e+04 1.0368972431151364e+04 9.4178719077026581e+03 8.5067461984748661e+03 7.6055054658847930e+03 6.6820256307390146e+03 5.6991490338972926e+03 4.6097981693016145e+03 3.3501150803714518e+03 1.8280443750330057e+03 -9.4823170559525835e+01 -2.6343317631335126e+03 -6.1308603830578013e+03 -1.1113725544750834e+04 -1.8355502230097361e+04 -2.8852608427331670e+04 -4.3635687359254734e+04 -6.3374988637909017e+04 -8.7907243312996332e+04 -1.1595075767587841e+05 -1.4525607092951992e+05 -1.7317868295266764e+05 -1.9740620150762310e+05 -2.1651347531776488e+05 -2.3017009643631094e+05 -2.3893388030200626e+05 -2.4390160940337411e+05 -2.4629557458108506e+05 -2.4717272248513458e+05 -2.4728005089943355e+05 -2.4713666492384195e+05 -2.4690982630140666e+05 -2.4664273850900296e+05 -2.4634899737311661e+05 -2.4604145080457037e+05 -2.4571662172819610e+05 -2.4537487119750938e+05 -2.4500271602858574e+05 -2.4460437275918719e+05 -2.4417251766851181e+05 -2.4370141380305414e+05 -2.4318409291647206e+05 -2.4261271194635757e+05 -2.4197830201098544e+05 -2.4127081389997670e+05 -2.4047958606064442e+05 -2.3959240098686737e+05 -2.3859638334381278e+05 -2.3747766326145761e+05 -2.3622194003134686e+05 -2.3481487650167377e+05 -2.3324283276848358e+05 -2.3149704397903057e+05 -2.2956229186244833e+05 -2.2743868833766042e+05 -2.2513115286659845e+05 -2.2265778009915026e+05 -2.2004936863937601e+05 -2.1736455279716032e+05 -2.1469262160234331e+05 -2.1216646728732716e+05 -2.0997972604916870e+05 -2.0840778666300070e+05 -2.0784462104787488e+05 -2.0885596486905398e+05 -2.1227178965821149e+05 -2.1934939941276138e+05 -2.3208050410008241e+05 -2.5380266205692830e+05 1.3994245451611987e+04 +7.2539359372140316e-03 9.5259948858830016e+04 2.7726891458114004e+05 5.8899607742011000e+05 9.9241032290055894e+05 1.3839346092383196e+06 1.6081245335692149e+06 1.5961737905286700e+06 1.4635508860135861e+06 1.3272461187066075e+06 1.2104989609053794e+06 1.0992707431023396e+06 9.9170774182530714e+05 8.9068831656916777e+05 7.9719378949436173e+05 7.1096467758186359e+05 6.3246322278036689e+05 5.6195864781136496e+05 4.9891805407291505e+05 4.4261663604676112e+05 3.9237126628662203e+05 3.4758137561963685e+05 3.0806632192132511e+05 2.7673627749638603e+05 2.5947001402098298e+05 2.4441982410175132e+05 2.2028339023614279e+05 1.9417156973141618e+05 1.7038755969235112e+05 1.4934298327160257e+05 1.3080022013832744e+05 1.1449168206522553e+05 1.0017284331631000e+05 8.7623655350120156e+04 7.6646394531915314e+04 6.7063429017836403e+04 5.8715154390168849e+04 5.1458149310807326e+04 4.5163506125864944e+04 3.9715341328483366e+04 3.5009455205702201e+04 3.0673498807514021e+04 2.6982358818915051e+04 2.3843191751588311e+04 2.1173292762637320e+04 1.8899108105283394e+04 1.6955372983050242e+04 1.5284336703829265e+04 1.3835026876401142e+04 1.2562511098831688e+04 1.1427022912398717e+04 1.0392985949987662e+04 9.4281948429149288e+03 8.5025104332555748e+03 7.5853443553739226e+03 6.6439075622663986e+03 5.6401315195544821e+03 4.5256606542886229e+03 3.2347932967687834e+03 1.6727346095305104e+03 -3.0310567792345046e+02 -2.9151016101042696e+03 -6.5138717323848532e+03 -1.1644397402164659e+04 -1.9101538522184357e+04 -2.9909381234209101e+04 -4.5125600216284729e+04 -6.5435731262790796e+04 -9.0667890894187454e+04 -1.1950168578001305e+05 -1.4962440268625011e+05 -1.7831965939580341e+05 -2.0321365185874084e+05 -2.2284436800334390e+05 -2.3687401227686665e+05 -2.4587659262361185e+05 -2.5097929788146593e+05 -2.5343795301287147e+05 -2.5433839646170777e+05 -2.5444801172682553e+05 -2.5430024859581844e+05 -2.5406674658765557e+05 -2.5379188554408582e+05 -2.5348962010628422e+05 -2.5317315615522437e+05 -2.5283890971352259e+05 -2.5248725596608812e+05 -2.5210431327507470e+05 -2.5169442346621768e+05 -2.5125005040452769e+05 -2.5076529092033234e+05 -2.5023297481756521e+05 -2.4964503163388872e+05 -2.4899223149610276e+05 -2.4826423902395612e+05 -2.4745007650414231e+05 -2.4653717540041477e+05 -2.4551228706124079e+05 -2.4436113966746235e+05 -2.4306901802046128e+05 -2.4162116933635515e+05 -2.4000355736599886e+05 -2.3820716812307754e+05 -2.3621633536365951e+05 -2.3403117724431638e+05 -2.3165675571238299e+05 -2.2911168998779354e+05 -2.2642767141847164e+05 -2.2366503382103733e+05 -2.2091565343705579e+05 -2.1831627899841336e+05 -2.1606615309641859e+05 -2.1444864961712994e+05 -2.1386915906948844e+05 -2.1490981725348852e+05 -2.1842465254673519e+05 -2.2570741234678109e+05 -2.3880753607923776e+05 -2.6115933090975403e+05 1.4166961637102673e+04 +7.2986436723094491e-03 9.5059719222769854e+04 2.7686662171918154e+05 5.8824924782077689e+05 9.9122463326552219e+05 1.3823442735301547e+06 1.6063460883910526e+06 1.5944846992177118e+06 1.4620798864622389e+06 1.3259907212889718e+06 1.2094342156766606e+06 1.0983844357948666e+06 9.9098771065525734e+05 8.9011909624198044e+05 7.9675892450175283e+05 7.1064787870330922e+05 6.3224851372446411e+05 5.6183104605944396e+05 4.9886408171543945e+05 4.4262431621770724e+05 3.9242999581356952e+05 3.4768180931533308e+05 3.0820062306221697e+05 2.7690184026364732e+05 2.5967652243140744e+05 2.4466989038153688e+05 2.2056173271257718e+05 1.9446585396261109e+05 1.7069055749443377e+05 1.4964925756378830e+05 1.3110528816725002e+05 1.1479184228749496e+05 1.0046508211232856e+05 8.7905567148916132e+04 7.6916108966397456e+04 6.7319543846672241e+04 5.8956673535479458e+04 5.1684425370831115e+04 4.5374186947059810e+04 3.9910320198615780e+04 3.5188824248779398e+04 3.0836374338945185e+04 2.7129165681570597e+04 2.3974443817928011e+04 2.1289545623274251e+04 1.9000915401664730e+04 1.7043246348270990e+04 1.5358709001270912e+04 1.3896217696338234e+04 1.2610692376800795e+04 1.1462180677281212e+04 1.0414871773651419e+04 9.4362661815524116e+03 8.4958474714467866e+03 7.5625208570484019e+03 6.6028204025643781e+03 5.5777485176994078e+03 4.4376441180500060e+03 3.1149202418596610e+03 1.5119791105759762e+03 -5.1804871056040906e+02 -3.2042200897507050e+03 -6.9076294744335210e+03 -1.2189273246563920e+04 -1.9866769330539119e+04 -3.0992415243955820e+04 -4.6651382338349416e+04 -6.7544657598744161e+04 -9.3491409732806176e+04 -1.2313166009196918e+05 -1.5408816462336748e+05 -1.8357130149400383e+05 -2.0914475183300019e+05 -2.2930902125933001e+05 -2.4371885165816429e+05 -2.5296479300393857e+05 -2.5820504192486507e+05 -2.6072960665570910e+05 -2.6165377254944452e+05 -2.6176569932919546e+05 -2.6161346143092212e+05 -2.6137315439123061e+05 -2.6109035686048141e+05 -2.6077938880011899e+05 -2.6045382113410838e+05 -2.6010996060374068e+05 -2.5974819679996418e+05 -2.5935424126571525e+05 -2.5893256374454807e+05 -2.5847541124718747e+05 -2.5797671091792407e+05 -2.5742908639256819e+05 -2.5682423505924011e+05 -2.5615266059684163e+05 -2.5540373550156562e+05 -2.5456615926250396e+05 -2.5362700499723799e+05 -2.5257264293765777e+05 -2.5138839092186250e+05 -2.5005911060359320e+05 -2.4856962488462808e+05 -2.4690549288759302e+05 -2.4505744631214751e+05 -2.4300936155304586e+05 -2.4076136314879835e+05 -2.3831865850667370e+05 -2.3570040237476819e+05 -2.3293919749208950e+05 -2.3009711267803484e+05 -2.2726866542133785e+05 -2.2459454152410981e+05 -2.2227970704439885e+05 -2.2061568777646509e+05 -2.2001953131253942e+05 -2.2109011614583840e+05 -2.2470602996886769e+05 -2.3219822476550381e+05 -2.4567507518753977e+05 -2.6866965805976302e+05 1.4341807507434056e+04 +7.3436269518258072e-03 9.4858506831870007e+04 2.7646355562829273e+05 5.8750198103279702e+05 9.9003883584056015e+05 1.3807538158255005e+06 1.6045668222347419e+06 1.5927935939554526e+06 1.4606056254876580e+06 1.3247309284251996e+06 1.2083640302530455e+06 1.0974917526823841e+06 9.9026051200793183e+05 8.8954206089047121e+05 7.9631573866677238e+05 7.1032239490783901e+05 6.3202488297283824e+05 5.6169439215733076e+05 4.9880101695461496e+05 4.4262294132317114e+05 3.9247977399603458e+05 3.4777345105306746e+05 3.0832632775412162e+05 2.7705892822300363e+05 2.5987436935442552e+05 2.4491107033970792e+05 2.2083130816472095e+05 1.9475168385016476e+05 1.7098547527730357e+05 1.4994785589089320e+05 1.3140310248473220e+05 1.1508518073275393e+05 1.0075093344260029e+05 8.8181521875624909e+04 7.7180287420540888e+04 6.7570529938009640e+04 5.9193453557733876e+04 5.1906331210341079e+04 4.5580843281267975e+04 4.0101595242736556e+04 3.5364783629875092e+04 3.0996125587663329e+04 2.7273100993873828e+04 2.4103043827010759e+04 2.1403332229047592e+04 1.9100408097908392e+04 1.7128922018396774e+04 1.5430964892472683e+04 1.3955336564829078e+04 1.2656807692623895e+04 1.1495237894317666e+04 1.0434579101522719e+04 9.4420339716500966e+03 8.4867034603733846e+03 7.5369782318575662e+03 6.5587032703244058e+03 5.5119334057295900e+03 4.3456741263845588e+03 2.9904109116901691e+03 1.3456785101284236e+03 -7.3977137875723781e+02 -3.5018338455590288e+03 -7.3123191257288154e+03 -1.2748593606292521e+04 -2.0651511859499496e+04 -3.2102130694854579e+04 -4.8213584857372676e+04 -6.9702473854702796e+04 -9.6378676260760491e+04 -1.2684172993364290e+05 -1.5864856884956788e+05 -1.8893496373863405e+05 -2.1520097158290015e+05 -2.3590899218142391e+05 -2.5070623173347118e+05 -2.6020013610637648e+05 -2.6558051684494963e+05 -2.6817222023517627e+05 -2.6912053832027724e+05 -2.6923480079688475e+05 -2.6907798921606084e+05 -2.6883073382245965e+05 -2.6853983470081032e+05 -2.6821998367947520e+05 -2.6788512386480818e+05 -2.6753145030519349e+05 -2.6715936727531196e+05 -2.6675417103861627e+05 -2.6632046191494417e+05 -2.6585026557150908e+05 -2.6533733595722914e+05 -2.6477408627531450e+05 -2.6415197695886431e+05 -2.6346123972227558e+05 -2.6269094891629077e+05 -2.6182947452311905e+05 -2.6086352391399641e+05 -2.5977907831614319e+05 -2.5856103673699193e+05 -2.5719382892843150e+05 -2.5566184469675989e+05 -2.5395023016181975e+05 -2.5204945746784486e+05 -2.4994293615545466e+05 -2.4763079729246991e+05 -2.4511839675201231e+05 -2.4242543589268043e+05 -2.3958544770211438e+05 -2.3666227189805009e+05 -2.3375312186146353e+05 -2.3100270194138843e+05 -2.2862182005507496e+05 -2.2691032258155430e+05 -2.2629715537646817e+05 -2.2739828604353176e+05 -2.3111736971939536e+05 -2.3882333273587312e+05 -2.5268470432234553e+05 -2.7633537455719482e+05 1.4518809286152999e+04 +7.3888874740090085e-03 9.4656297091623041e+04 2.7605970340451616e+05 5.8675426298657060e+05 9.8885294033534534e+05 1.3791632366930528e+06 1.6027867539448566e+06 1.5911005003277124e+06 1.4591281472678976e+06 1.3234667983735611e+06 1.2072884704586463e+06 1.0965927704337093e+06 9.8952622931717103e+05 8.8895730027173285e+05 7.9586432523887209e+05 7.0998832103543205e+05 6.3179242520933843e+05 5.6154877931177465e+05 4.9872895023660164e+05 4.4261259809349349e+05 3.9252068305097235e+05 3.4785637789606251e+05 3.0844350751761458e+05 2.7720760814220156e+05 2.6006361976964009e+05 2.4514342682799650e+05 2.2109217326711759e+05 1.9502910790777716e+05 1.7127235295484276e+05 1.5023880952363956e+05 1.3169368584219887e+05 1.1537171188301971e+05 1.0103040387207485e+05 8.8451518612811880e+04 7.7438921992352465e+04 6.7816372949260563e+04 5.9425474248668637e+04 5.2123841346591231e+04 4.5783444966362084e+04 4.0289132207982257e+04 3.5537295577261386e+04 3.1152711610939659e+04 2.7414121236427585e+04 2.4228946231672940e+04 2.1514605501298647e+04 1.9197538019766213e+04 1.7212351087987430e+04 1.5501055018156394e+04 1.4012333837524851e+04 1.2700807150799757e+04 1.1526144288496658e+04 1.0452056963030731e+04 9.4454460253866182e+03 8.4750242535710859e+03 7.5086593929692572e+03 6.5114948814175896e+03 5.4426190967005750e+03 4.2496757064519352e+03 2.8611796692282733e+03 1.1737326830173592e+03 -9.6839371614072707e+02 -3.8080906687694346e+03 -7.7281276495787752e+03 -1.3322600835637248e+04 -2.1456085570668885e+04 -3.3238950478392966e+04 -4.9812761764328068e+04 -7.1909888930831963e+04 -9.9330568925319938e+04 -1.3063294544725315e+05 -1.6330682671435771e+05 -1.9441199813026437e+05 -2.2138377713116014e+05 -2.4264583237062325e+05 -2.5783776314868877e+05 -2.6758426942171878e+05 -2.7310739039168000e+05 -2.7576747071966750e+05 -2.7674037350641075e+05 -2.7685699535577925e+05 -2.7669550987268763e+05 -2.7644116113087954e+05 -2.7614199345453701e+05 -2.7581307712531072e+05 -2.7546873463620181e+05 -2.7510504690088448e+05 -2.7472243315523880e+05 -2.7430576583002222e+05 -2.7385977850972704e+05 -2.7337627097793133e+05 -2.7284882044069743e+05 -2.7226962535557855e+05 -2.7162990434371046e+05 -2.7091961157634907e+05 -2.7012751716970449e+05 -2.6924165481603792e+05 -2.6824835865747381e+05 -2.6713321294217312e+05 -2.6588068926362292e+05 -2.6447477662072767e+05 -2.6289942284685129e+05 -2.6113935259001900e+05 -2.5918477313996691e+05 -2.5701861758706378e+05 -2.5464102367453626e+05 -2.5205749878244108e+05 -2.4928830208476630e+05 -2.4636791588404609e+05 -2.4336198709072283e+05 -2.4037048022721356e+05 -2.3754220057179235e+05 -2.3509391760475840e+05 -2.3333396883766406e+05 -2.3270344224295879e+05 -2.3383574479358431e+05 -2.3766011283394913e+05 -2.4558422534044494e+05 -2.5983799899111688e+05 -2.8415820337084733e+05 1.4697993519023492e+04 +7.4344269475716479e-03 9.4453079451862795e+04 2.7565504590180417e+05 5.8600609586965304e+05 9.8766691999634367e+05 1.3775725410202893e+06 1.6010058935738381e+06 1.5894054517500463e+06 1.4576474898839535e+06 1.3221983825492868e+06 1.2062076004733744e+06 1.0956875646445041e+06 9.8878494470746024e+05 8.8836490265793598e+05 7.9540477613987355e+05 7.0964575057973200e+05 6.3155123384869867e+05 5.6139429946366930e+05 4.9864797083852551e+05 4.4259337220580300e+05 3.9255280425442290e+05 3.4793066609005659e+05 3.0855223317831376e+05 2.7734794621524628e+05 2.6024433820179990e+05 2.4536702238286025e+05 2.2134438454417165e+05 1.9529817466821181e+05 1.7155123062053911e+05 1.5052215006105628e+05 1.3197706145459990e+05 1.1565145080216366e+05 1.0130350064867912e+05 8.8715557208233979e+04 7.7692005608591688e+04 6.8057059411561801e+04 5.9652716299761996e+04 5.2336931204718057e+04 4.5981962739156617e+04 4.0472897714726620e+04 3.5706323151945515e+04 3.1306092239708687e+04 2.7552183590374283e+04 2.4352106099985853e+04 2.1623318881603896e+04 1.9292257411019396e+04 1.7293484963350315e+04 1.5568930223810603e+04 1.4067159970975737e+04 1.2742640859580479e+04 1.1554849500630537e+04 1.0467254226308743e+04 9.4464499266987350e+03 8.4607554172509226e+03 7.4775069111222119e+03 6.4611335533377796e+03 5.3697380428870001e+03 4.1495733495766472e+03 2.7271402465152041e+03 9.9604074854524254e+02 -1.2040366785821034e+03 -4.1231394976426427e+03 -8.1552434552388058e+03 -1.3911539112636534e+04 -2.2280812176647127e+04 -3.4403300123432382e+04 -5.1449469876491668e+04 -7.4167614359699844e+04 -1.0234796809543023e+05 -1.3450635746054348e+05 -1.6806414863068637e+05 -2.0000375396035748e+05 -2.2769463011849456e+05 -2.4952108765301359e+05 -2.6511504974523693e+05 -2.7511883295717993e+05 -2.8078732243635715e+05 -2.8351702699936199e+05 -2.8451494967871089e+05 -2.8463395404478826e+05 -2.8446769313508383e+05 -2.8420610438451951e+05 -2.8389849933731114e+05 -2.8356033335364185e+05 -2.8320631558280747e+05 -2.8283241032947879e+05 -2.8243905207008345e+05 -2.8201068075643509e+05 -2.8155216595362476e+05 -2.8105507697436213e+05 -2.8051281069316447e+05 -2.7991734646422410e+05 -2.7925965618394839e+05 -2.7852941084310395e+05 -2.7771507016713044e+05 -2.7680432470101141e+05 -2.7578312779460067e+05 -2.7463665865328303e+05 -2.7334895278169692e+05 -2.7190354947739170e+05 -2.7028394562593661e+05 -2.6847443584305496e+05 -2.6646495720655622e+05 -2.6423795665506151e+05 -2.6179357875616191e+05 -2.5913748547053183e+05 -2.5629050511469107e+05 -2.5328808858015286e+05 -2.5019772666057383e+05 -2.4712219087314591e+05 -2.4421447070458106e+05 -2.4169741821050656e+05 -2.3988803444197323e+05 -2.3923979600467967e+05 -2.4040390332090334e+05 -2.4433569331316432e+05 -2.5248238439238025e+05 -2.6713652700885956e+05 -2.9213985905657924e+05 1.4879387077975860e+04 +7.4802470917575250e-03 9.4248837719769275e+04 2.7524957468879869e+05 5.8525745977299334e+05 9.8648076323486899e+05 1.3759817091166652e+06 1.5992242485694643e+06 1.5877084608975621e+06 1.4561636988100687e+06 1.3209257329940419e+06 1.2051214840228700e+06 1.0947762094538047e+06 9.8803673944368609e+05 8.8776495473404927e+05 7.9493718197506445e+05 7.0929477567764674e+05 6.3130140104103636e+05 5.6123104328384239e+05 4.9855816686854861e+05 4.4256534828269313e+05 3.9257621793783980e+05 3.4799639105674729e+05 3.0865257485704712e+05 2.7748000804981298e+05 2.6041658870304943e+05 2.4558191920489326e+05 2.2158799834784435e+05 1.9555893265675192e+05 1.7182214851960973e+05 1.5079790940101232e+05 1.3225325296832362e+05 1.1592441310423022e+05 1.0157023167110687e+05 8.8973638244010988e+04 7.7939531995300931e+04 6.8292576701836093e+04 5.9875161276848456e+04 5.2545577094847780e+04 4.6176368215114700e+04 4.0652859239786827e+04 3.5871830233929060e+04 3.1456228068681376e+04 2.7687245931237871e+04 2.4472479112672721e+04 2.1729426332461502e+04 1.9384518937023411e+04 1.7372275368470411e+04 1.5634541567527052e+04 1.4119765531605082e+04 1.2782258940177622e+04 1.1581303096520576e+04 1.0480119606605323e+04 9.4449930387117438e+03 8.4438422365701499e+03 7.4434630198082905e+03 6.4075572093771671e+03 5.2932222391018850e+03 4.0452910138553739e+03 2.5882057466074657e+03 8.1250107180147620e+02 -1.4468221434467466e+03 -4.4471304171704260e+03 -8.5938563976279329e+03 -1.4515654437560597e+04 -2.3126015635452211e+04 -3.5595607781668485e+04 -5.3124268805894892e+04 -7.6476364249250910e+04 -1.0543175597072992e+05 -1.3846301735685120e+05 -1.7292174390321656e+05 -2.0571157760219442e+05 -2.3413498755922762e+05 -2.5653629780967828e+05 -2.7253968827092793e+05 -2.8280545893594256e+05 -2.8862196466450003e+05 -2.9142254957509151e+05 -2.9244592993243830e+05 -2.9256733940377500e+05 -2.9239620023706154e+05 -2.9212722315560252e+05 -2.9181101007896941e+05 -2.9146340810479340e+05 -2.9109952037362085e+05 -2.9071519207561587e+05 -2.9031087320787937e+05 -2.8987056250408577e+05 -2.8939926825650997e+05 -2.8888832466664381e+05 -2.8833094465490896e+05 -2.8771888406341145e+05 -2.8704286310257891e+05 -2.8629226388146408e+05 -2.8545522951226309e+05 -2.8451910046359577e+05 -2.8346944164757919e+05 -2.8229101907774369e+05 -2.8096742340022873e+05 -2.7948173516766232e+05 -2.7781699124621932e+05 -2.7595704756649683e+05 -2.7389156558007438e+05 -2.7160249626827450e+05 -2.6908999117298820e+05 -2.6635986994281254e+05 -2.6343354148463346e+05 -2.6034744476133355e+05 -2.5717095153350619e+05 -2.5400969676685522e+05 -2.5102093832901295e+05 -2.4843373316414584e+05 -2.4657392012163313e+05 -2.4590761360308735e+05 -2.4710416536429213e+05 -2.5114553785360671e+05 -2.5951928415670930e+05 -2.7458184820633190e+05 -3.0028204743777291e+05 1.5063017165097153e+04 +7.5263496364065480e-03 9.4043559005214804e+04 2.7484327392189350e+05 5.8450833127232210e+05 9.8529447140525258e+05 1.3743907406613820e+06 1.5974418319904450e+06 1.5860095584858805e+06 1.4546768101959920e+06 1.3196488992537216e+06 1.2040301826164408e+06 1.0938587774440502e+06 9.8728169396268087e+05 8.8715754177969438e+05 7.9446163195099600e+05 7.0893548711480794e+05 6.3104301764082292e+05 5.6105910017302982e+05 4.9845962526999658e+05 4.4252860989031388e+05 3.9259100348424475e+05 3.4805362738476851e+05 3.0874460195983341e+05 2.7760385865353921e+05 2.6058043483787161e+05 2.4578817913879771e+05 2.2182307083267893e+05 1.9581143036577239e+05 1.7208514701992448e+05 1.5106611971013402e+05 1.3252228443191617e+05 1.1619061492172102e+05 1.0183060545826776e+05 8.9225763006119509e+04 7.8181495648765194e+04 6.8522913015547936e+04 6.0092791594580776e+04 5.2749756189141131e+04 4.6366633868210913e+04 4.0828985099108315e+04 3.6033781508435502e+04 3.1603080445979613e+04 2.7819266821964997e+04 2.4590021559878391e+04 2.1832882337257433e+04 1.9474275687766851e+04 1.7448674350489815e+04 1.5697840327199987e+04 1.4170101204051185e+04 1.2819611535754253e+04 1.1605454575646459e+04 1.0490601674397505e+04 9.4410225108794402e+03 8.4242297217687956e+03 7.4064696203174653e+03 6.3507033826190473e+03 5.2130032258345282e+03 3.9367521264946595e+03 2.4442886452342373e+03 6.2301126467952679e+02 -1.6968729092080848e+03 -4.7802146591924156e+03 -9.0441577775656569e+03 -1.5135194632085304e+04 -2.3992022145738789e+04 -3.6816304213848314e+04 -5.4837720929624105e+04 -7.8836855228063141e+04 -1.0858281649359052e+05 -1.4250397694819578e+05 -1.7788082056125801e+05 -2.1153681230439458e+05 -2.4070630160464422e+05 -2.6369299631546112e+05 -2.8011326809991564e+05 -2.9064577150560881e+05 -2.9661296027752996e+05 -2.9948569025735417e+05 -3.0053496858800214e+05 -3.0065880517198646e+05 -3.0048268361133896e+05 -3.0020616822190845e+05 -2.9988117462141381e+05 -2.9952394834191399e+05 -2.9914999391148507e+05 -2.9875503486941295e+05 -2.9833953701449244e+05 -2.9788704903050145e+05 -2.9740272071214177e+05 -2.9687764646275522e+05 -2.9630485158319457e+05 -2.9567586395272426e+05 -2.9498114707784378e+05 -2.9420978842787253e+05 -2.9334960821286618e+05 -2.9238758982197061e+05 -2.9130890200301580e+05 -2.9009788934296020e+05 -2.8873768876740331e+05 -2.8721091294418491e+05 -2.8550012955326424e+05 -2.8358874709609477e+05 -2.8146614592513215e+05 -2.7911377115621965e+05 -2.7653178145762533e+05 -2.7372615730427689e+05 -2.7071889976442594e+05 -2.6754745555878588e+05 -2.6428311489176331e+05 -2.6103443322640573e+05 -2.5796302187574390e+05 -2.5530426627659722e+05 -2.5339301917803343e+05 -2.5270828457493751e+05 -2.5393792722144522e+05 -2.5809106558942658e+05 -2.6669639108399191e+05 -2.8217551414485311e+05 -3.0858646529594017e+05 1.5248911316677786e+04 +7.5727363220200392e-03 9.3837228357289408e+04 2.7443612873915146e+05 5.8375870663667098e+05 9.8410801766274939e+05 1.3727996462967647e+06 1.5956586462123992e+06 1.5843087697699654e+06 1.4531868581736423e+06 1.3183679344027000e+06 1.2029337558793665e+06 1.0929353387212888e+06 9.8651988750599930e+05 8.8654274785028188e+05 7.9397821376423270e+05 7.0856797432902583e+05 6.3077617316223134e+05 5.6087855826845125e+05 4.9835243182410731e+05 4.4248323953515023e+05 3.9259723932653345e+05 3.4810244882400986e+05 3.0882838316845597e+05 2.7771956242184207e+05 2.6073593966690573e+05 2.4598586365397190e+05 2.2204965793393378e+05 1.9605571622867679e+05 1.7234026658523697e+05 1.5132681339468106e+05 1.3278418026457643e+05 1.1645007287588961e+05 1.0208463111846916e+05 8.9471933454525875e+04 7.8417891806264684e+04 6.8748057338747589e+04 6.0305590490913441e+04 5.2949446498522324e+04 4.6552733010436496e+04 4.1001244430408020e+04 3.6192142451447828e+04 3.1746611462277164e+04 2.7948205505860918e+04 2.4704690337179261e+04 2.1933641899704664e+04 1.9561481180027327e+04 1.7522634284390024e+04 1.5758778007159564e+04 1.4218117799061021e+04 1.2854648819774271e+04 1.1627253379538108e+04 1.0498648863160608e+04 9.4344852858845043e+03 8.4018626139499938e+03 7.3664682864677579e+03 6.2905092197633767e+03 5.1290120921524522e+03 3.8238795859418933e+03 2.2953007922014858e+03 4.2746818657807381e+02 -1.9543126954174206e+03 -5.1225446029775248e+03 -9.5063403425462166e+03 -1.5770409339051314e+04 -2.4879160143071225e+04 -3.8065822777329333e+04 -5.6590391361384354e+04 -8.1249806392351456e+04 -1.1180203526449116e+05 -1.4663028835260798e+05 -1.8294258519813683e+05 -2.1748079799460352e+05 -2.4741001931461209e+05 -2.7099271008512849e+05 -2.8783737096210069e+05 -2.9864138645673625e+05 -3.0476194370493881e+05 -3.0770809187603660e+05 -3.0878371089773014e+05 -3.0890999599481985e+05 -3.0872878659668547e+05 -3.0844458127322106e+05 -3.0811063282851991e+05 -3.0774359196057636e+05 -3.0735937204275205e+05 -3.0695357239618263e+05 -3.0652667490286333e+05 -3.0606176927493606e+05 -3.0556414961118769e+05 -3.0502466578158102e+05 -3.0443615176477039e+05 -3.0378990297868708e+05 -3.0307612115806306e+05 -3.0228359331247763e+05 -3.0139981039512734e+05 -3.0041139164183091e+05 -2.9930310182824190e+05 -2.9805885579391179e+05 -2.9666132779020345e+05 -2.9509265336498740e+05 -2.9333492174978682e+05 -2.9137108518222597e+05 -2.8919023738525738e+05 -2.8677330759902491e+05 -2.8412046177058615e+05 -2.8123784437335352e+05 -2.7814806032735866e+05 -2.7488958400339761e+05 -2.7153566191530973e+05 -2.6819782766769867e+05 -2.6504213196478662e+05 -2.6231041362902807e+05 -2.6034671724156805e+05 -2.5964319080543105e+05 -2.6090657750195477e+05 -2.6517368784016691e+05 -2.7401516355026810e+05 -2.8991906784292770e+05 -3.1705480006924766e+05 1.5437097407302699e+04 +7.6194088998264463e-03 9.3629833741459035e+04 2.7402812703955109e+05 5.8300857320027519e+05 9.8292139966064238e+05 1.3712083963956626e+06 1.5938747003825721e+06 1.5826061168278689e+06 1.4516938851688763e+06 1.3170828881987613e+06 1.2018322662695183e+06 1.0920059617126493e+06 9.8575139787448489e+05 8.8592065572181565e+05 7.9348701358473068e+05 7.0819232540019625e+05 6.3050095575265668e+05 5.6068950446226355e+05 4.9823667115845310e+05 4.4242931866317720e+05 3.9259500294086005e+05 3.4814292827729753e+05 3.0890398643174511e+05 2.7782718312609906e+05 2.6088316573178867e+05 2.4617503382658886e+05 2.2226781534613689e+05 1.9629183859572149e+05 1.7258754774819763e+05 1.5158002307254876e+05 1.3303896522756727e+05 1.1670280404554801e+05 1.0233231831908751e+05 8.9712152193303773e+04 7.8648716417328658e+04 6.8967999421334578e+04 6.0513542001658199e+04 5.3144626849630818e+04 4.6734639771154863e+04 4.1169607175250654e+04 3.6346879314962534e+04 3.1886783939444107e+04 2.8074021898456962e+04 2.4816442941155055e+04 2.2031660542446465e+04 1.9646089359029243e+04 1.7594107877074803e+04 1.5817306344242261e+04 1.4263766260820055e+04 1.2887321004004423e+04 1.1646648899792401e+04 1.0504209476892911e+04 9.4253281063161321e+03 8.3766853907767272e+03 7.3234002692410595e+03 6.2269114846989141e+03 5.0411794784037784e+03 3.7065957637742245e+03 2.1411534125125168e+03 2.2576794479362218e+02 -2.2192661430641638e+03 -5.4742737762437764e+03 -9.9805982880877655e+03 -1.6421550022987831e+04 -2.5787760296694818e+04 -3.9344599414783617e+04 -5.8382847924649963e+04 -8.3715939255495759e+04 -1.1509029945927905e+05 -1.5084300387637282e+05 -1.8810824281418935e+05 -2.2354487108786422e+05 -2.5424758243495747e+05 -2.7843695922830433e+05 -2.9571357068280544e+05 -3.0679391095122916e+05 -3.1307054032736778e+05 -3.1609138800035731e+05 -3.1719379276377411e+05 -3.1732254714343831e+05 -3.1713614315723680e+05 -3.1684409463038488e+05 -3.1650101520543161e+05 -3.1612396750699729e+05 -3.1572928127668943e+05 -3.1531242901643709e+05 -3.1487390897517087e+05 -3.1439634287839429e+05 -3.1388517196176277e+05 -3.1333099677568726e+05 -3.1272645623852161e+05 -3.1206260876047570e+05 -3.1132938918489288e+05 -3.1051527818240947e+05 -3.0960743103002373e+05 -3.0859209566331073e+05 -3.0745362499799812e+05 -3.0617549572078628e+05 -3.0473991036287503e+05 -3.0312851802280778e+05 -3.0132292012756062e+05 -2.9930560372395546e+05 -2.9706537031864800e+05 -2.9458262316458247e+05 -2.9185753564095055e+05 -2.8889641942520288e+05 -2.8572249509742286e+05 -2.8237528477567068e+05 -2.7893002953622706e+05 -2.7550129935861239e+05 -2.7225967116528441e+05 -2.6945356333495380e+05 -2.6743639203350001e+05 -2.6671370629321842e+05 -2.6801149688983662e+05 -2.7239480787128909e+05 -2.8147705160803674e+05 -2.9781404351226549e+05 -3.2568872956332314e+05 1.5627603653993867e+04 +7.6663691318474550e-03 9.3421358197846916e+04 2.7361925464602752e+05 5.8225791560017422e+05 9.8173459558452142e+05 1.3696170107074652e+06 1.5920900106547850e+06 1.5809016250606480e+06 1.4501979228513443e+06 1.3157938080137654e+06 1.2007257773800856e+06 1.0910707151462752e+06 9.8497630116219341e+05 8.8529134676221048e+05 7.9298811613160651e+05 7.0780862702916877e+05 6.3021745220450801e+05 5.6049202442273486e+05 4.9811242674828053e+05 4.4236692765831482e+05 3.9258437084750429e+05 3.4817513779522426e+05 3.0897147895691526e+05 2.7792678390190488e+05 2.6102217504166823e+05 2.4635575031987732e+05 2.2247759850035186e+05 1.9651984570976070e+05 1.7282703108446329e+05 1.5182578154464156e+05 1.3328666439462046e+05 1.1694882593806527e+05 1.0257367725707123e+05 8.9946422441162766e+04 7.8873966115427509e+04 6.9182729749233957e+04 6.0716630935044857e+04 5.3335276861355080e+04 4.6912329076314316e+04 4.1334044060998160e+04 3.6497959111847420e+04 3.2023561418639332e+04 2.8196676579161467e+04 2.4925237464204725e+04 2.2126894305176655e+04 1.9728054599483708e+04 1.7663048170920643e+04 1.5873377313162475e+04 1.4306997673759863e+04 1.2917578346027211e+04 1.1663590485591629e+04 1.0507231697244648e+04 9.4134975209934928e+03 8.3486422718243502e+03 7.2772065011092845e+03 6.1598465618939535e+03 4.9494355786905444e+03 3.5848225063262930e+03 1.9817571072308406e+03 1.7805894583360935e+01 -2.4918588152878106e+03 -5.8355568566368629e+03 -1.0467127259605830e+04 -1.7088869971309552e+04 -2.6718155507712618e+04 -4.0653072643878695e+04 -6.0215661127399107e+04 -8.6235977699529161e+04 -1.1844849775078980e+05 -1.5514317589942992e+05 -1.9337899666751738e+05 -2.2973036430122482e+05 -2.6122042718523840e+05 -2.8602725681453443e+05 -3.0374343292975472e+05 -3.1510494326101599e+05 -3.2154036620859691e+05 -3.2463720266733691e+05 -3.2576684046832356e+05 -3.2589808424230292e+05 -3.2570637761002558e+05 -3.2540633097516117e+05 -3.2505394262630306e+05 -3.2466669391011260e+05 -3.2426133851581201e+05 -3.2383321949724923e+05 -3.2338285175184964e+05 -3.2289237991630344e+05 -3.2236739522114326e+05 -3.2179824406465533e+05 -3.2117736652720958e+05 -3.2049557942143083e+05 -3.1974254552645673e+05 -3.1890643323700654e+05 -3.1797405566743651e+05 -3.1693128223596432e+05 -3.1576204603215825e+05 -3.1444937709791044e+05 -3.1297499710759165e+05 -3.1132005928796087e+05 -3.0946566780885344e+05 -3.0739383551265870e+05 -3.0509306604476459e+05 -3.0254322645744157e+05 -2.9974449771793379e+05 -2.9670336194360052e+05 -2.9344366730520228e+05 -2.9000600396416406e+05 -2.8646764619926887e+05 -2.8294625918475247e+05 -2.7961703376191383e+05 -2.7673509530805255e+05 -2.7466341313762177e+05 -2.7392119692063896e+05 -2.7525405791393958e+05 -2.7975582065837958e+05 -2.8908349674441968e+05 -3.0586196630230511e+05 -3.3448992167556135e+05 1.5820458620403359e+04 +7.7136187909645102e-03 9.3211788543470830e+04 2.7320949666356080e+05 5.8150671958313370e+05 9.8054761208062246e+05 1.3680254686298692e+06 1.5903045632893282e+06 1.5791953124969925e+06 1.4486990104866179e+06 1.3145007419710634e+06 1.1996143469362033e+06 1.0901296667382994e+06 9.8419467158722447e+05 8.8465490092248656e+05 7.9248160481002158e+05 7.0741696453349723e+05 6.2992574799180485e+05 5.6028620261144277e+05 4.9797978092460602e+05 4.4229614583963534e+05 3.9256541860511241e+05 3.4819914856856549e+05 3.0903092720163910e+05 2.7801842723819171e+05 2.6115302905729864e+05 2.4652807336834195e+05 2.2267906254472997e+05 1.9673978568330355e+05 1.7305875718627925e+05 1.5206412176834160e+05 1.3352730312358640e+05 1.1718815645999277e+05 1.0280871862914863e+05 9.0174748002428547e+04 7.9093638189329926e+04 6.9392239517878377e+04 6.0914842846336258e+04 5.3521376921569448e+04 4.7085776627526648e+04 4.1494526582498547e+04 3.6645349600304682e+04 3.2156908148124043e+04 2.8316130782234664e+04 2.5031032588917846e+04 2.2219299742102587e+04 1.9807331705793018e+04 1.7729408546517676e+04 1.5926943131476535e+04 1.4347763268824428e+04 1.2945371156239889e+04 1.1678027450955240e+04 1.0507663590360182e+04 9.3989398910931286e+03 8.3176772237471087e+03 7.2278276002231860e+03 6.0892504595393402e+03 4.8537101430976472e+03 3.4584811360857061e+03 1.8170218540306066e+03 -1.9652336109513115e+02 -2.7722171985265804e+03 -6.2065496736854693e+03 -1.0966124354927682e+04 -1.7772624296307848e+04 -2.7670680907638940e+04 -4.1991683548413028e+04 -6.2089404138314625e+04 -8.8810647929204293e+04 -1.2187752023305587e+05 -1.5953185676530947e+05 -1.9875604812725366e+05 -2.3603860647734185e+05 -2.6832998405307258e+05 -2.9376510864637844e+05 -3.1192851497271366e+05 -3.2357607251548540e+05 -3.3017302783867251e+05 -3.3334715012311086e+05 -3.3450447041167779e+05 -3.3463822300904116e+05 -3.3444110436624981e+05 -3.3413290308811760e+05 -3.3377102607510542e+05 -3.3337338021817984e+05 -3.3295715079624631e+05 -3.3251754875110032e+05 -3.3205510591440374e+05 -3.3155148063902988e+05 -3.3101241703763156e+05 -3.3042800247586000e+05 -3.2979047438176215e+05 -3.2909040333326615e+05 -3.2831717482241814e+05 -3.2745863897174364e+05 -3.2650126018227887e+05 -3.2543052206704475e+05 -3.2422992984227510e+05 -3.2288205833131121e+05 -3.2136813912372122e+05 -3.1966882005783002e+05 -3.1776469850081706e+05 -3.1563730398680345e+05 -3.1327483659890026e+05 -3.1065661687643657e+05 -3.0778283352972748e+05 -3.0466014238537755e+05 -3.0131303125147044e+05 -2.9778317883305362e+05 -2.9414993163237110e+05 -2.9053410942236468e+05 -2.8711560553131864e+05 -2.8415638104203402e+05 -2.8202914178032445e+05 -2.8126702023586363e+05 -2.8263562472763774e+05 -2.8725811266612925e+05 -2.9683593165062001e+05 -3.1406435205577349e+05 -3.4346003412335931e+05 1.6015691221057577e+04 +7.7611596609857472e-03 9.3001110312521880e+04 2.7279883512338100e+05 5.8075496301078703e+05 9.7936043690315925e+05 1.3664337559999679e+06 1.5885183870093455e+06 1.5774872046832594e+06 1.4471971814839672e+06 1.3132037363691682e+06 1.1984980282568324e+06 1.0891828822039161e+06 9.8340658191635285e+05 8.8401139682628750e+05 7.9196756179043686e+05 7.0701742186714220e+05 6.2962592731999501e+05 5.6007212229268847e+05 4.9783881487555202e+05 4.4221705146209797e+05 3.9253822080475307e+05 3.4821503092372179e+05 3.0908239686436043e+05 2.7810217496747937e+05 2.6127578867923282e+05 2.4669206275943865e+05 2.2287226232312218e+05 1.9695170647542772e+05 1.7328276663851496e+05 1.5229507683063156e+05 1.3376090702833072e+05 1.1742081388828899e+05 1.0303745360323600e+05 9.0397133238545299e+04 7.9307730555477217e+04 6.9596520605086480e+04 6.1108164012692971e+04 5.3702908163960477e+04 4.7254958880887214e+04 4.1651026983663243e+04 3.6789019268281918e+04 3.2286789070699546e+04 2.8432346387408244e+04 2.5133787581759640e+04 2.2308833918718727e+04 1.9883875911884683e+04 1.7793142725009511e+04 1.5977956263786617e+04 1.4386014429245935e+04 1.2970649804514318e+04 1.1689909081542328e+04 1.0505453113375106e+04 9.3816013959535212e+03 8.2837339651791353e+03 7.1752038742617606e+03 6.0150588124963833e+03 4.7539324797043801e+03 3.3274924528071597e+03 1.6468570074738354e+03 -4.1732597218544345e+02 -3.0604687040130621e+03 -6.5874092112517546e+03 -1.1477788127332764e+04 -1.8473069937711432e+04 -2.8645673858365706e+04 -4.3360875770400628e+04 -6.4004652765202263e+04 -9.1440678427579842e+04 -1.2537825834808963e+05 -1.6401009867560980e+05 -2.0424059653568477e+05 -2.4247092241259437e+05 -2.7557767759654374e+05 -3.0165201304036105e+05 -3.2027036544985522e+05 -3.3220887846078427e+05 -3.3897012188746047e+05 -3.4222283457357046e+05 -3.4340828886275983e+05 -3.4354456900436815e+05 -3.4334192767894379e+05 -3.4302541360067436e+05 -3.4265386639652733e+05 -3.4224562535281974e+05 -3.4181831503830256e+05 -3.4136701158968260e+05 -3.4089226405585115e+05 -3.4037523522364756e+05 -3.3982182500335225e+05 -3.3922185679847893e+05 -3.3856736153305805e+05 -3.3784865886905411e+05 -3.3705485173771065e+05 -3.3617346593308618e+05 -3.3519061052986735e+05 -3.3409137597616826e+05 -3.3285883149051195e+05 -3.3147508801777166e+05 -3.2992087774668029e+05 -3.2817633351723436e+05 -3.2622153625584900e+05 -3.2403752299549780e+05 -3.2161218450082862e+05 -3.1892428438250895e+05 -3.1597401925407554e+05 -3.1276822195125103e+05 -3.0933203208332357e+05 -3.0570823759936454e+05 -3.0197829662715469e+05 -2.9826624352022784e+05 -2.9475676352733112e+05 -2.9171878339819383e+05 -2.8953493062002375e+05 -2.8875252524155151e+05 -2.9015755289798597e+05 -2.9490306163112010e+05 -3.0473578000003251e+05 -3.2242270707439916e+05 -3.5260071419085364e+05 1.6213330725651636e+04 +7.8089935367133363e-03 9.2789307919906583e+04 2.7238726309965685e+05 5.8000265112425003e+05 9.7817303131834953e+05 1.3648418849201032e+06 1.5867314709272040e+06 1.5757773155071980e+06 1.4456924664918878e+06 1.3119028324300610e+06 1.1973768754368573e+06 1.0882304269145972e+06 9.8261210408959514e+05 8.8336091181717417e+05 7.9144606802209478e+05 7.0661008166312915e+05 6.2931807315118751e+05 5.5984986552524869e+05 4.9768960864837811e+05 4.4212972171336837e+05 3.9250285106775130e+05 3.4822285431495123e+05 3.0912595287730079e+05 2.7817808825500566e+05 2.6139051423416880e+05 2.4684777781792136e+05 2.2305725235648369e+05 1.9715565586923261e+05 1.7349909999404108e+05 1.5251867992142399e+05 1.3398750195211056e+05 1.1764681684234315e+05 1.0325989378981777e+05 9.0613583039465157e+04 7.9516241730145601e+04 6.9795565544586934e+04 6.1296581407788712e+04 5.3879852444546275e+04 4.7419853025891149e+04 4.1803518238491568e+04 3.6928937317181677e+04 3.2413169810363190e+04 2.8545285909890663e+04 2.5233462286368351e+04 2.2395454408187725e+04 1.9957642880308333e+04 1.7854204769688986e+04 1.6026369425456302e+04 1.4421702695702223e+04 1.2993364726227339e+04 1.1699184641020547e+04 1.0500548120571941e+04 9.3614280386052578e+03 8.2467559713743049e+03 7.1192753241472619e+03 5.9372068849708749e+03 4.6500314563230813e+03 3.1917767343842133e+03 1.4711712989924508e+03 -6.4470884247444474e+02 -3.3567416697155140e+03 -6.9782936104385562e+03 -1.2002318589223847e+04 -1.9190465666147429e+04 -2.9643473952656230e+04 -4.4761095503502685e+04 -6.5961985433950700e+04 -9.4126799914703050e+04 -1.2895160481711349e+05 -1.6857895358877885e+05 -2.0983383907302504e+05 -2.4902863269391534e+05 -2.8296492625478026e+05 -3.0968946062008932e+05 -3.2877052414538455e+05 -3.4100493122786121e+05 -3.4793323496753862e+05 -3.5126584994548152e+05 -3.5247989171964314e+05 -3.5261871739145304e+05 -3.5241044140481518e+05 -3.5208545475456514e+05 -3.5170405405576993e+05 -3.5128501786850422e+05 -3.5084641780853207e+05 -3.5038319248292950e+05 -3.4989590844329115e+05 -3.4936522353752150e+05 -3.4879719641670579e+05 -3.4818138154593937e+05 -3.4750959945666115e+05 -3.4677191416876385e+05 -3.4595714072685462e+05 -3.4505247448548331e+05 -3.4404366251223540e+05 -3.4291539466331986e+05 -3.4165029595522373e+05 -3.4023000471338886e+05 -3.3863474431843782e+05 -3.3684412291068060e+05 -3.3483769524532446e+05 -3.3259599657257285e+05 -3.3010660252604960e+05 -3.2734770927628415e+05 -3.2431952149731317e+05 -3.2102905236732709e+05 -3.1750210557828384e+05 -3.1378259922051843e+05 -3.0995414282782155e+05 -3.0614404589316575e+05 -3.0254187587497238e+05 -2.9942365640019212e+05 -2.9718212354465970e+05 -2.9637905219382280e+05 -2.9782118920207175e+05 -3.0269203635721823e+05 -3.1278445623481681e+05 -3.3093852789238928e+05 -3.6191359848034231e+05 1.6413406763399271e+04 +7.8571222240112412e-03 9.2576365968044061e+04 2.7197476142094482e+05 5.7924975712567789e+05 9.7698541040447936e+05 1.3632498385385112e+06 1.5849438311078006e+06 1.5740656684762370e+06 1.4441849023749593e+06 1.3105980769661779e+06 1.1962509449446404e+06 1.0872723654100783e+06 9.8181130910072487e+05 8.8270352188594651e+05 7.9091720316408470e+05 7.0619502527607372e+05 6.2900226721153373e+05 5.5961951314674341e+05 4.9753224115200358e+05 4.4203423271321552e+05 3.9245938203993073e+05 3.4822268732005113e+05 3.0916165939830878e+05 2.7824622758996830e+05 2.6149726546125114e+05 2.4699527738869659e+05 2.2323408682279754e+05 1.9735168145084733e+05 1.7370779774893844e+05 1.5273496430861566e+05 1.3420711393941956e+05 1.1786618425591025e+05 1.0347605121397781e+05 9.0824102795760671e+04 7.9719170801938802e+04 6.9989367499557382e+04 6.1480082676980019e+04 5.4052192318265596e+04 4.7580436964211396e+04 4.1951974032345614e+04 3.7065073645534656e+04 3.2536016659138488e+04 2.8654912490035131e+04 2.5330017116139617e+04 2.2479119286982375e+04 2.0028588700735170e+04 1.7912549087057792e+04 1.6072135585782406e+04 1.4454779771032863e+04 1.3013466427945490e+04 1.1705803377084630e+04 1.0492896369197799e+04 9.3383656509688062e+03 8.2066864786152619e+03 7.0599816474627241e+03 5.8556295729798430e+03 4.5419355020365756e+03 3.0512537374252229e+03 1.2898728365489110e+03 -8.7877963088474633e+02 -3.6611653626645884e+03 -7.3793621730165860e+03 -1.2539917216407281e+04 -1.9925072087292683e+04 -3.0664423015887140e+04 -4.6192791487802933e+04 -6.7961983170463500e+04 -9.6869745308261903e+04 -1.3259845357345449e+05 -1.7323947312272480e+05 -2.1553697063026376e+05 -2.5571305354094532e+05 -2.9049314216680359e+05 -3.1787893411438161e+05 -3.3743052177748614e+05 -3.4996579111194628e+05 -3.5706394340878073e+05 -3.6047777965806081e+05 -3.6172086427945615e+05 -3.6186225270758162e+05 -3.6164822877507057e+05 -3.6131460817332112e+05 -3.6092316891064274e+05 -3.6049313572387426e+05 -3.6004303509166098e+05 -3.5956766533370124e+05 -3.5906761078997888e+05 -3.5852301491059928e+05 -3.5794009805580979e+05 -3.5730814073034952e+05 -3.5661874914723233e+05 -3.5586172691257310e+05 -3.5502559581113572e+05 -3.5409721458527999e+05 -3.5306196155466879e+05 -3.5190411848550476e+05 -3.5060585791103210e+05 -3.4914833671254205e+05 -3.4751125996755547e+05 -3.4567370132322487e+05 -3.4361467954102764e+05 -3.4131421872032585e+05 -3.3875957349484623e+05 -3.3592836198468902e+05 -3.3282079708424513e+05 -3.2944407567761891e+05 -3.2582467793695355e+05 -3.2200767318921292e+05 -3.1807886252991494e+05 -3.1416889172185503e+05 -3.1047230157457944e+05 -3.0727234504159010e+05 -3.0497205547817762e+05 -3.0414793240998453e+05 -3.0562787143536558e+05 -3.1062639651878603e+05 -3.2098336536308995e+05 -3.3961330106318311e+05 -3.7140031267866906e+05 1.6615949327432292e+04 +7.9055475398733931e-03 9.2362270460782063e+04 2.7156131081601372e+05 5.7849625979938626e+05 9.7579755291322048e+05 1.3616576283097370e+06 1.5831554632388772e+06 1.5723522890153846e+06 1.4426745187132405e+06 1.3092895162731516e+06 1.1951202914167515e+06 1.0863087595843372e+06 9.8100426651603379e+05 8.8203930157400528e+05 7.9038104552132671e+05 7.0577233280153503e+05 6.2867858997150266e+05 5.5938114475986874e+05 4.9736679015530518e+05 4.4193065951294056e+05 3.9240788538649189e+05 3.4821459763428039e+05 3.0918957980263914e+05 2.7830665277586901e+05 2.6159610150176467e+05 2.4713461982298599e+05 2.2340281953985264e+05 1.9753983058798450e+05 1.7390890032069085e+05 1.5294396331324548e+05 1.3441976921071621e+05 1.1807893535039137e+05 1.0368593828744785e+05 9.1028698371064660e+04 7.9916517404727419e+04 7.0177920236121834e+04 6.1658656112252793e+04 5.4219911015993661e+04 4.7736689288258727e+04 4.2096368742791499e+04 3.7197398832435960e+04 3.2655296563166918e+04 2.8761189882463794e+04 2.5423413046590496e+04 2.2559787130046781e+04 2.0096669887940992e+04 1.7968130427236734e+04 1.6115207970505006e+04 1.4485197524441814e+04 1.3030905492570944e+04 1.1709714527002316e+04 1.0482445524900964e+04 9.3123598988141457e+03 8.1634684882839501e+03 6.9972622416305003e+03 5.7702614065604239e+03 4.4295726084173630e+03 2.9058426975871325e+03 1.1028691040110257e+03 -1.1196467531208325e+03 -3.9738699817144116e+03 -7.7907753653283444e+03 -1.3090786952956414e+04 -2.0677151646797996e+04 -3.1708865108603550e+04 -4.7656415005533861e+04 -7.0005229583010252e+04 -9.9670249686619485e+04 -1.3631969970032817e+05 -1.7799270846253558e+05 -2.2135118368563705e+05 -2.6252549665634154e+05 -2.9816373099929228e+05 -3.2622190816765057e+05 -3.4625187979402213e+05 -3.5909300836116855e+05 -3.6636381304348120e+05 -3.6986019640577189e+05 -3.7113278102159785e+05 -3.7127674864520627e+05 -3.7105686217696645e+05 -3.7071444464411150e+05 -3.7031277999380190e+05 -3.6987154606607475e+05 -3.6940973207276815e+05 -3.6892199325983244e+05 -3.6840893204048893e+05 -3.6785016791886097e+05 -3.6725208596274612e+05 -3.6660368764641340e+05 -3.6589636090211535e+05 -3.6511964410769823e+05 -3.6426176036151208e+05 -3.6330922556852677e+05 -3.6224704249252897e+05 -3.6105907724488922e+05 -3.5972704151589406e+05 -3.5823160183675314e+05 -3.5655193539859686e+05 -3.5466657147132838e+05 -3.5255398290860566e+05 -3.5019367320301529e+05 -3.4757257006635511e+05 -3.4466770285842411e+05 -3.4147929285615816e+05 -3.3801472404405032e+05 -3.3430116558710538e+05 -3.3038485933999473e+05 -3.2635383848859335e+05 -3.2234214676387864e+05 -3.1854939031400683e+05 -3.1526618509912968e+05 -3.1290605219789146e+05 -3.1206048808378639e+05 -3.1357892822536139e+05 -3.1870749247275799e+05 -3.2933390276573732e+05 -3.4844850295289035e+05 -3.8106247133205511e+05 1.6820988779255553e+04 +7.9542713124922931e-03 9.2147005885275692e+04 2.7114690334508527e+05 5.7774215393304965e+05 9.7460944369802973e+05 1.3600652368877800e+06 1.5813663881914071e+06 1.5706371914984828e+06 1.4411613524908239e+06 1.3079771889102652e+06 1.1939849668070630e+06 1.0853396696274132e+06 9.8019104421861982e+05 8.8136832407183945e+05 7.8983767204559641e+05 7.0534208307078993e+05 6.2834712062708661e+05 5.5913483872684930e+05 4.9719333228323306e+05 4.4181907609401620e+05 3.9234843178908271e+05 3.4819865206509089e+05 3.0920977667628427e+05 2.7835942292163341e+05 2.6168708088550536e+05 2.4726586296164521e+05 2.2356350394601008e+05 1.9772015040968149e+05 1.7410244802465680e+05 1.5314571028428513e+05 1.3462549413631749e+05 1.1828508960759520e+05 1.0388956778194482e+05 9.1227376074974978e+04 8.0108281690935677e+04 7.0361218097867139e+04 6.1832290627324997e+04 5.4382992420874645e+04 4.7888589259814566e+04 4.2236677420311229e+04 3.7325884120673836e+04 3.2770977108712228e+04 2.8864082444969994e+04 2.5513611606925850e+04 2.2637417005466410e+04 2.0161843379179507e+04 1.8020903883984483e+04 1.6155540063915761e+04 1.4512907995078865e+04 1.3045632584052984e+04 1.1710867322831557e+04 1.0469143166882857e+04 9.2833562863240331e+03 8.1170447707484227e+03 6.9310562068385889e+03 5.6810365517270811e+03 4.3128703305495019e+03 2.7554623295991350e+03 9.1006696019744459e+02 -1.3674193836751742e+03 -4.2949866607101285e+03 -8.2126948227431712e+03 -1.3655132216757000e+04 -2.1446968635938665e+04 -3.2777146530141588e+04 -4.9152419878482295e+04 -7.2092310847715504e+04 -1.0252905025385138e+05 -1.4011623937054747e+05 -1.8283971027215951e+05 -2.2727766818798601e+05 -2.6946726908330340e+05 -3.0597809178064967e+05 -3.3471984915877291e+05 -3.5523611018008972e+05 -3.6838812297519122e+05 -3.7583439900013455e+05 -3.7941466195194935e+05 -3.8071720539967855e+05 -3.8086376784531126e+05 -3.8063790294640564e+05 -3.8028652391040343e+05 -3.7987444530512410e+05 -3.7942180502158147e+05 -3.7894806293119997e+05 -3.7844772838732362e+05 -3.7792142216170020e+05 -3.7734823017896659e+05 -3.7673470523786155e+05 -3.7606956466669962e+05 -3.7534397411795956e+05 -3.7454720188249164e+05 -3.7366716689820052e+05 -3.7269003594704351e+05 -3.7160042936917848e+05 -3.7038178998586541e+05 -3.6901536021019361e+05 -3.6748130723524780e+05 -3.6575827069398068e+05 -3.6382422550476278e+05 -3.6165708860927715e+05 -3.5923583335194708e+05 -3.5654705454409157e+05 -3.5356718198054889e+05 -3.5029644548142323e+05 -3.4674241955885862e+05 -3.4293297499712207e+05 -3.3891554766393575e+05 -3.3478044373597013e+05 -3.3066516717281076e+05 -3.2677448228999809e+05 -3.2340650295694248e+05 -3.2098543015802844e+05 -3.2011803211222793e+05 -3.2167567885752179e+05 -3.2693666508161818e+05 -3.3783745401100343e+05 -3.5744559954693611e+05 -3.9090167763376434e+05 1.7028555853255970e+04 +8.0032953813280270e-03 9.1930554451297474e+04 2.7073151717041578e+05 5.7698742210744647e+05 9.7342107343520352e+05 1.3584726465491408e+06 1.5795766070963761e+06 1.5689203876344368e+06 1.4396454251162510e+06 1.3066611346192679e+06 1.1928450220499521e+06 1.0843651553458634e+06 9.7937170861720701e+05 8.8069066146896430e+05 7.8928715836927982e+05 7.0490435361685022e+05 6.2800793708141986e+05 5.5888067217722186e+05 4.9701194301206025e+05 4.4169955536849069e+05 3.9228109094342170e+05 3.4817491652755806e+05 3.0922231180824433e+05 2.7840459643334989e+05 2.6177026152091927e+05 2.4738906412132957e+05 2.2371619308323844e+05 1.9789268778560898e+05 1.7428848105201047e+05 1.5334023857524712e+05 1.3482431521072902e+05 1.1848466674421234e+05 1.0408695280190499e+05 9.1420142636024422e+04 8.0294464304899331e+04 7.0539255979664973e+04 6.2000975733196537e+04 5.4541421045531388e+04 4.8036116788722044e+04 4.2372875769074839e+04 3.7450501399559333e+04 3.2883026507555398e+04 2.8963555126759180e+04 2.5600574871411751e+04 2.2711968468501920e+04 2.0224066531061682e+04 1.8070824893904199e+04 1.6193085610196675e+04 1.4537863395189954e+04 1.3057598451654225e+04 1.1709210996126552e+04 1.0452936792561284e+04 9.2513001604590972e+03 8.0673578689191199e+03 6.8613023487132014e+03 5.5878888121751406e+03 4.1917557877576191e+03 2.6000308270149417e+03 7.1137263761573399e+02 -1.6222074582026999e+03 -4.6246474721139612e+03 -8.6452833546113325e+03 -1.4233158905636399e+04 -2.2234789198196824e+04 -3.3869615823118154e+04 -5.0681262466319320e+04 -7.4223815694183519e+04 -1.0544688630801112e+05 -1.4398896978992506e+05 -1.8778152861054800e+05 -2.3331761144653300e+05 -2.7653967306806589e+05 -3.1393761674379703e+05 -3.4337421502754750e+05 -3.6438471527437971e+05 -3.7785266451659013e+05 -3.8547724551070028e+05 -3.8914272693119134e+05 -3.9047568964287126e+05 -3.9062486169912823e+05 -3.9039290117017523e+05 -3.9003239447627397e+05 -3.8960971161588782e+05 -3.8914545750176860e+05 -3.8865957064485666e+05 -3.8814641165532701e+05 -3.8760661994982342e+05 -3.8701873815289541e+05 -3.8638948984546750e+05 -3.8570730304620479e+05 -3.8496311709568632e+05 -3.8414592529388575e+05 -3.8324333689435059e+05 -3.8224116321516992e+05 -3.8112363524259056e+05 -3.7987376480468508e+05 -3.7847231652647327e+05 -3.7689894919345784e+05 -3.7513175512335665e+05 -3.7314814481892146e+05 -3.7092546921437304e+05 -3.6844216187936830e+05 -3.6568447869238508e+05 -3.6262823898088385e+05 -3.5927368127271801e+05 -3.5562857406324544e+05 -3.5172150249721511e+05 -3.4760111813400447e+05 -3.4336004140741564e+05 -3.3913929932812531e+05 -3.3514890804036992e+05 -3.3169461543863412e+05 -3.2921149632472510e+05 -3.2832186792952952e+05 -3.2991943310763256e+05 -3.3531524554225145e+05 -3.4649539468122699e+05 -3.6660604626375745e+05 -4.0091952322116046e+05 1.7238681661266557e+04 +8.0526215971777095e-03 9.1712902404719440e+04 2.7031514417226927e+05 5.7623205872702121e+05 9.7223242534861364e+05 1.3568798491111975e+06 1.5777861082632910e+06 1.5672018979943797e+06 1.4381267723716227e+06 1.3053413946966124e+06 1.1917005076141926e+06 1.0833852764183434e+06 9.7854632498696749e+05 8.8000638482679299e+05 7.8872957880227151e+05 7.0445922064364958e+05 6.2766111594018294e+05 5.5861872102437168e+05 4.9682269666699105e+05 4.4157216918005934e+05 3.9220593155567494e+05 3.4814345604098827e+05 3.0922724618508184e+05 2.7844223100517760e+05 2.6184570068292439e+05 2.4750428008079584e+05 2.2386093958055560e+05 1.9805748930760560e+05 1.7446703944829977e+05 1.5352758152093229e+05 1.3501625902850291e+05 1.1867768668508429e+05 1.0427810675852807e+05 9.1607005175313141e+04 8.0475066356863099e+04 7.0712029302191455e+04 6.2164701513434768e+04 5.4695182008641976e+04 4.8179252411323258e+04 4.2504940127250964e+04 3.7571223187821815e+04 3.2991413582477137e+04 2.9059573456559941e+04 2.5684265450091443e+04 2.2783401555311008e+04 2.0283297115809379e+04 1.8117849235306458e+04 1.6227798614482132e+04 1.4560016112679417e+04 1.3066753933590746e+04 1.1704694782294084e+04 1.0433773822032617e+04 9.2161367148691297e+03 8.0143501015069478e+03 6.7879391807215261e+03 5.4907516307359620e+03 4.0661556640560498e+03 2.4394658616819979e+03 5.0669174086698570e+02 -1.8841216762581075e+03 -4.9629854310373930e+03 -9.0887049496903310e+03 -1.4825074404141022e+04 -2.3040881336437655e+04 -3.4986623779183821e+04 -5.2243401666472208e+04 -7.6400335394123162e+04 -1.0842449921078353e+05 -1.4793878914520892e+05 -1.9281921285207686e+05 -2.3947219802374503e+05 -2.8374400593342824e+05 -3.2204369118012139e+05 -3.5218645511150523e+05 -3.7369918759512622e+05 -3.8748815192819986e+05 -3.9529388572555990e+05 -3.9904593066537619e+05 -4.0040977457287128e+05 -4.0056157016306213e+05 -4.0032339550137933e+05 -3.9995359341807361e+05 -3.9952011428223533e+05 -3.9904403701640706e+05 -3.9854578680371848e+05 -3.9801957263095817e+05 -3.9746605284473859e+05 -3.9686321696415386e+05 -3.9621796242833906e+05 -3.9551842274041352e+05 -3.9475530685790780e+05 -3.9391732814354054e+05 -3.9299178059429798e+05 -3.9196411366884824e+05 -3.9081816200412606e+05 -3.8953649866809935e+05 -3.8809940190792229e+05 -3.8648601295503014e+05 -3.8467386696623912e+05 -3.8263979987530131e+05 -3.8036058642695693e+05 -3.7781411070212902e+05 -3.7498628356064227e+05 -3.7185230286626104e+05 -3.6841241601705382e+05 -3.6467458898037404e+05 -3.6066813411302323e+05 -3.5644294053827977e+05 -3.5209398457846843e+05 -3.4776587967241480e+05 -3.4367398828267737e+05 -3.4013182964990940e+05 -3.3758554801816703e+05 -3.3667328934993641e+05 -3.3831149108640628e+05 -3.4384455522787257e+05 -3.5530909020592063e+05 -3.7593128778126783e+05 -4.1111758798540040e+05 1.7451397697183860e+04 +8.1022518222453599e-03 9.1494032902685198e+04 2.6989776030474243e+05 5.7547603446105844e+05 9.7104348769615591e+05 1.3552868600564694e+06 1.5759949000732403e+06 1.5654817424757264e+06 1.4366054235187664e+06 1.3040180119614555e+06 1.1905514723928839e+06 1.0824000909651287e+06 9.7771495770650543e+05 8.7931556391152751e+05 7.8816500625300675e+05 7.0400675901634281e+05 6.2730673251357325e+05 5.5834905998101772e+05 4.9662566641915287e+05 4.4143698830450000e+05 3.9212302134350315e+05 3.4810433472319698e+05 3.0922463998408912e+05 2.7847238361205405e+05 2.6191345500262151e+05 2.4761156706593229e+05 2.2399779563736269e+05 1.9821460127004856e+05 1.7463816309226732e+05 1.5370777241435414e+05 1.3520135225941089e+05 1.1886416953897326e+05 1.0446304334389094e+05 9.1787971180444656e+04 8.0650089396775511e+04 7.0879533986885071e+04 6.2323458600055252e+04 5.4844261012048693e+04 4.8317977269065530e+04 4.2632847447697961e+04 3.7688022615984533e+04 3.3096107752177762e+04 2.9152103530272714e+04 2.5764646479308001e+04 2.2851676776013199e+04 2.0339493317105287e+04 1.8161933026383365e+04 1.6259633343115542e+04 1.4579318713323057e+04 1.3073049960456216e+04 1.1697267924501828e+04 1.0411601602007422e+04 9.1778109936285964e+03 7.9579635660443382e+03 6.7109049262811886e+03 5.3895580905504075e+03 3.9359962083552459e+03 2.2736845829025233e+03 2.9592924473649833e+02 -2.1532735044207184e+03 -5.3101344997296583e+03 -9.5431247822092882e+03 -1.5431087590989086e+04 -2.3865514921002432e+04 -3.6128523445332619e+04 -5.3839298915144886e+04 -7.8622463751363146e+04 -1.1146263236072606e+05 -1.5196659655249654e+05 -1.9795381161310070e+05 -2.4574260963753017e+05 -2.9108155995341274e+05 -3.3029769329705497e+05 -3.6115800999306870e+05 -3.8318100967715774e+05 -3.9729609336580866e+05 -4.0528584154045256e+05 -4.0912580098810879e+05 -4.1052098942611500e+05 -4.1067542158125172e+05 -4.1043091298344190e+05 -4.1005164621172304e+05 -4.0960717707120557e+05 -4.0911906549830432e+05 -4.0860823143651627e+05 -4.0806872933465289e+05 -4.0750123675515538e+05 -4.0688318022162735e+05 -4.0622163413539605e+05 -4.0550443222950521e+05 -4.0472204897439334e+05 -4.0386291280593403e+05 -4.0291399684303621e+05 -4.0186038223181729e+05 -4.0068550020830345e+05 -3.9937147724107577e+05 -3.9789809653955861e+05 -3.9624397255101008e+05 -3.9438607334194938e+05 -3.9230065003656596e+05 -3.8996389091573644e+05 -3.8735312077721657e+05 -3.8445389932096616e+05 -3.8124079185433488e+05 -3.7771405481296987e+05 -3.7388185515243461e+05 -3.6977424540736637e+05 -3.6544237432504876e+05 -3.6098361611033604e+05 -3.5654623455985752e+05 -3.5235103376478929e+05 -3.4871944282891054e+05 -3.4610887276520376e+05 -3.4517358042117266e+05 -3.4685314308894839e+05 -3.5252590553671838e+05 -3.6427989570732677e+05 -3.8542275787042791e+05 -4.2149743989050068e+05 1.7666735841646103e+04 +8.1521879302122058e-03 9.1273929878149575e+04 2.6947935323222226e+05 5.7471933550915250e+05 9.6985424372213602e+05 1.3536936474010721e+06 1.5742030034782323e+06 1.5637599347554022e+06 1.4350813959630469e+06 1.3026910222892221e+06 1.1893979642523516e+06 1.0814096554654113e+06 9.7687767024676758e+05 8.7861826686911320e+05 7.8759351219817542e+05 7.0354704227923835e+05 6.2694486084618291e+05 5.5807176257776108e+05 4.9642092428924574e+05 4.4129408245018398e+05 3.9203242703535833e+05 3.4805761578873504e+05 3.0921455256888410e+05 2.7849511050128291e+05 2.6197358045760769e+05 2.4771098073807475e+05 2.2412681300702287e+05 1.9836406965185041e+05 1.7480189167565637e+05 1.5388084448409529e+05 1.3537962162522468e+05 1.1904413557309435e+05 1.0464177650517425e+05 9.1963048479812292e+04 8.0819535389072669e+04 7.1041766430566146e+04 6.2477238149164288e+04 5.4988644317829669e+04 4.8452273087114481e+04 4.2756575278124117e+04 3.7800873408926920e+04 3.3197079016126183e+04 2.9241111998304536e+04 2.5841681611597818e+04 2.2916755107357796e+04 2.0392613725307168e+04 1.8203032723053278e+04 1.6288544323616974e+04 1.4595723942231467e+04 1.3076437557937828e+04 1.1686879677190371e+04 1.0386367409516390e+04 9.1362678944954951e+03 7.8981401415594219e+03 6.6301375206625016e+03 5.2842409159844865e+03 3.8012032343703490e+03 2.1026036163100694e+03 7.8989491939260176e+01 -2.4297751797871892e+03 -5.6662295925066546e+03 -1.0008709218360242e+04 -1.6051408847132730e+04 -2.4708961698700012e+04 -3.7295670131787047e+04 -5.5469418189887096e+04 -8.0890797093134344e+04 -1.1456203116747283e+05 -1.5607329201264388e+05 -2.0318637267950972e+05 -2.5213002506603027e+05 -2.9855362224201031e+05 -3.3870099408618099e+05 -3.7029031135274563e+05 -3.9283165391662536e+05 -4.0727798603680049e+05 -4.1545462343486591e+05 -4.1938385407966084e+05 -4.2081085168978525e+05 -4.2096793252382404e+05 -4.2071696888359898e+05 -4.2032806656670291e+05 -4.1987241199442500e+05 -4.1937205314116098e+05 -4.1884841284531256e+05 -4.1829538807575934e+05 -4.1771367589627538e+05 -4.1708012985936052e+05 -4.1640200445816584e+05 -4.1566682835795614e+05 -4.1486483740099618e+05 -4.1398417006498057e+05 -4.1301147292192566e+05 -4.1193145229791879e+05 -4.1072712890989031e+05 -4.0938017472912237e+05 -4.0786986918731738e+05 -4.0617429064141365e+05 -4.0426983005251759e+05 -4.0213214340586122e+05 -3.9973682215921720e+05 -3.9706062194496818e+05 -3.9408874511168175e+05 -3.9079511322379526e+05 -3.8717999192037428e+05 -3.8325175269318809e+05 -3.7904120133136091e+05 -3.7460076845498750e+05 -3.7003026850478887e+05 -3.6548168011237867e+05 -3.6118134512343531e+05 -3.5745874220692978e+05 -3.5478274816069688e+05 -3.5382401528537768e+05 -3.5554566945716768e+05 -3.6136059775014949e+05 -3.7340915585453121e+05 -3.9508187924297986e+05 -4.3206063480459229e+05 1.7884728366762316e+04 +8.2024318063074180e-03 9.1052576936773534e+04 2.6905990795275511e+05 5.7396195496980462e+05 9.6866469013228547e+05 1.3521002097191112e+06 1.5724103815099068e+06 1.5620364988584344e+06 1.4335547220867041e+06 1.3013604624964437e+06 1.1882400302851319e+06 1.0804140249023617e+06 9.7603452486360841e+05 8.7791456023337494e+05 7.8701516677916760e+05 7.0308014269257314e+05 6.2657557376093464e+05 5.5778690116843476e+05 4.9620854115144617e+05 4.4114352025866206e+05 3.9193421436983987e+05 3.4800336154415400e+05 3.0919704248276679e+05 2.7851046718574525e+05 2.6202613236139991e+05 2.4780257618008682e+05 2.2424804298209041e+05 1.9850594009796978e+05 1.7495826468279041e+05 1.5404683087330661e+05 1.3555109387613268e+05 1.1921760518905966e+05 1.0481432042003235e+05 9.2132245217282616e+04 8.0983406687364113e+04 7.1198723481033943e+04 6.2626031817153074e+04 5.5128318725298355e+04 4.8582122152904041e+04 4.2876101741492268e+04 3.7909749867874794e+04 3.3294297938977586e+04 2.9326566052572438e+04 2.5915335005314693e+04 2.2978597985003205e+04 2.0442617332341953e+04 1.8241105116034243e+04 1.6314486343971814e+04 1.4609184725051517e+04 1.3076867849233009e+04 1.1673479309107001e+04 1.0358018455111162e+04 9.0914521719571276e+03 7.8348214909918106e+03 6.5455746125328660e+03 5.1747324732807847e+03 3.6617021202543692e+03 1.9261390624371302e+03 -1.4422380945783712e+02 -2.7137397138545084e+03 -6.0314065811469018e+03 -1.0485625823412705e+04 -1.6686250064513581e+04 -2.5571495302423878e+04 -3.8488421420531267e+04 -5.7134226013128304e+04 -8.3205934263872841e+04 -1.1772344303001559e+05 -1.6025977636680237e+05 -2.0851794294248542e+05 -2.5863562006043291e+05 -3.0616147464265896e+05 -3.4725495720088651e+05 -3.7958478183540102e+05 -4.0265258242930070e+05 -4.1743531605136482e+05 -4.2580173031799804e+05 -4.2982159431482776e+05 -4.3128086694692768e+05 -4.3144060762887675e+05 -4.3118306654199050e+05 -4.3078435627175693e+05 -4.3031731915659242e+05 -4.2980449824371713e+05 -4.2926782745394792e+05 -4.2870104330123594e+05 -4.2810486263603542e+05 -4.2745555598164239e+05 -4.2676056107837666e+05 -4.2600709618036187e+05 -4.2518515432754875e+05 -4.2428257896447286e+05 -4.2328568439889158e+05 -4.2217879557454941e+05 -4.2094451551637199e+05 -4.1956405372575863e+05 -4.1801617704932910e+05 -4.1627841836661246e+05 -4.1432658143415122e+05 -4.1213571668234363e+05 -4.0968080829753930e+05 -4.0693803278507269e+05 -4.0389222889500321e+05 -4.0051666316864669e+05 -3.9681161061755824e+05 -3.9278565084656153e+05 -3.8847035608488467e+05 -3.8391946126390656e+05 -3.7923526376948645e+05 -3.7457352208659990e+05 -3.7016621275070019e+05 -3.6635100487636111e+05 -3.6360844173655723e+05 -3.6262585804935690e+05 -3.6439034044895956e+05 -3.7034992290084920e+05 -3.8269820472496515e+05 -4.0491006340390252e+05 -4.4280871634129784e+05 1.8105407940905898e+04 +8.2529853473792807e-03 9.0829956378627263e+04 2.6863940643232974e+05 5.7320386880732293e+05 9.6747479747663008e+05 1.3505065409662162e+06 1.5706170777957186e+06 1.5603114297332328e+06 1.4320254361834773e+06 1.3000263684567562e+06 1.1870777167343237e+06 1.0794132531184063e+06 9.7518558232950256e+05 8.7720450926911552e+05 7.8643003897319396e+05 7.0260613125758874e+05 6.2619894290386850e+05 5.5749454693376599e+05 4.9598858673840412e+05 4.4098536930598324e+05 3.9182844809710147e+05 3.4794163338671898e+05 3.0917216744574410e+05 2.7851850843577849e+05 2.6207116535404872e+05 2.4788640788442976e+05 2.2436153637906359e+05 1.9864025790285296e+05 1.7510732137132576e+05 1.5420576461796847e+05 1.3571579576789858e+05 1.1938459889895715e+05 1.0498068947198079e+05 9.2295569827515064e+04 8.1141706009440997e+04 7.1350402412291005e+04 6.2769831736828790e+04 5.5263271548469100e+04 4.8707507294745345e+04 4.2991405516231876e+04 3.8014626852737405e+04 3.3387735635080309e+04 2.9408433413234197e+04 2.5985571313889788e+04 2.3037167295287200e+04 2.0489463525956417e+04 1.8276107327652782e+04 1.6337414451483906e+04 1.4619654168441471e+04 1.3074292056912405e+04 1.1657016106018460e+04 1.0326501885816004e+04 9.0433084399125364e+03 7.7679490633032037e+03 6.4571535652805396e+03 5.0609647709043938e+03 3.5174178079550925e+03 1.7442064949785818e+03 -3.7380758896088741e+02 -3.0052808967924834e+03 -6.4058023007151132e+03 -1.0974043369303270e+04 -1.7335824655511384e+04 -2.6453391261662964e+04 -3.9707137174953612e+04 -5.8834191457490226e+04 -8.5568476620651170e+04 -1.2094761731599006e+05 -1.6452695125733470e+05 -2.1394956833711077e+05 -2.6526056726231269e+05 -3.1390639362921834e+05 -3.5596093883896386e+05 -3.8904283492102957e+05 -4.1264524691290635e+05 -4.2776955828443443e+05 -4.3632864938866318e+05 -4.4044051411889767e+05 -4.4193252873438026e+05 -4.4209493946309853e+05 -4.4183069722586544e+05 -4.4142200505339337e+05 -4.4094338661108946e+05 -4.4041788706790417e+05 -4.3986795966322540e+05 -4.3928717745115911e+05 -4.3867627735220315e+05 -4.3801093672118359e+05 -4.3729877972503210e+05 -4.3652670882082143e+05 -4.3568447003543650e+05 -4.3475960666420963e+05 -4.3373809498685389e+05 -4.3260387194861128e+05 -4.3133911564414302e+05 -4.2992456507514662e+05 -4.2833846561705536e+05 -4.2655779520816827e+05 -4.2455776021884760e+05 -4.2231279502165894e+05 -4.1979726599815162e+05 -4.1698676047955290e+05 -4.1386574731983955e+05 -4.1040682666643144e+05 -4.0661028306958009e+05 -4.0248490785643744e+05 -3.9806305299032677e+05 -3.9339978033616330e+05 -3.8859991329010803e+05 -3.8382305574826594e+05 -3.7930691667266685e+05 -3.7539749767004995e+05 -3.7258721084178687e+05 -3.7158036266418174e+05 -3.7338841611696075e+05 -3.7949516164948849e+05 -3.9214836567877687e+05 -4.1490871051936736e+05 -4.5374321571307286e+05 1.8328807633560456e+04 +8.3038504619668101e-03 9.0606053598891696e+04 2.6821783085350483e+05 5.7244506434937834e+05 9.6628455869925453e+05 1.3489126334987960e+06 1.5688230766128418e+06 1.5585847452562524e+06 1.4304935641399969e+06 1.2986887788129046e+06 1.1859110677271115e+06 1.0784073926792282e+06 9.7433090211624000e+05 8.7648817834938294e+05 7.8583819668984704e+05 7.0212507772638253e+05 6.2581503876334196e+05 5.5719476987842354e+05 4.9576112964785233e+05 4.4081969610155420e+05 3.9171519197773590e+05 3.4787249179994146e+05 3.0913998434876010e+05 2.7851928827357601e+05 2.6210873339292733e+05 2.4796252974153750e+05 2.2446734352369077e+05 1.9876706799274971e+05 1.7524910075302626e+05 1.5435767862577655e+05 1.3587375404002270e+05 1.1954513730214581e+05 1.0514089822601716e+05 9.2453031010868421e+04 8.1294436412850235e+04 7.1496800900317423e+04 6.2908630493886740e+04 5.5393490593423703e+04 4.8828411860584172e+04 4.3102465816473137e+04 3.8115479763991607e+04 3.3477363752398291e+04 2.9486682315079819e+04 2.6052355674727489e+04 2.3092425366594103e+04 2.0533112083557942e+04 1.8307996808004693e+04 1.6357283951135867e+04 1.4627085560331145e+04 1.3068661504352804e+04 1.1637439372873565e+04 1.0291764787596763e+04 8.9917811739823937e+03 7.6974640952599275e+03 6.3648114580251331e+03 4.9428694596466648e+03 3.3682748022711085e+03 1.5567209587524035e+03 -6.0985941691241817e+02 -3.3045133020982421e+03 -6.7895545558784670e+03 -1.1474131842854717e+04 -1.8000347562982290e+04 -2.7354927013984008e+04 -4.0952179550622415e+04 -6.0569786152113353e+04 -8.7979028029985973e+04 -1.2423530534458837e+05 -1.6887571909119716e+05 -2.1948229378484763e+05 -2.7200603612675186e+05 -3.2178965021125553e+05 -3.6482028763685684e+05 -3.9866587480971398e+05 -4.2281108852611162e+05 -4.3828217624461208e+05 -4.4703685600251937e+05 -4.5124209383571922e+05 -4.5276731840812677e+05 -4.5293240838516416e+05 -4.5266133999697125e+05 -4.5224249044078641e+05 -4.5175209022743517e+05 -4.5121369370590139e+05 -4.5065028172012558e+05 -4.5005526082668081e+05 -4.4942938830197620e+05 -4.4874773810767493e+05 -4.4801812404461391e+05 -4.4722712734075193e+05 -4.4636424276752438e+05 -4.4541670831237407e+05 -4.4437015641452681e+05 -4.4320812935174641e+05 -4.4191237299245474e+05 -4.4046314774151152e+05 -4.3883816854486882e+05 -4.3701384886163357e+05 -4.3496478740803956e+05 -4.3266479191137414e+05 -4.3008760032847663e+05 -4.2720820068936492e+05 -4.2401068560067698e+05 -4.2046697735358053e+05 -4.1657737020676030e+05 -4.1235087084455782e+05 -4.0782062436865334e+05 -4.0304304238600348e+05 -3.9812551771557477e+05 -3.9323156575811782e+05 -3.8860472643337806e+05 -3.8459947704733448e+05 -3.8172030253002461e+05 -3.8068877281369554e+05 -3.8254114619618427e+05 -3.8879758417023305e+05 -4.0176095124017016e+05 -4.2507920929040981e+05 -4.6486565159312909e+05 1.8554960920226975e+04 +8.3550290703718003e-03 9.0380848329504050e+04 2.6779516614089179e+05 5.7168552380135492e+05 9.6509396379131149e+05 1.3473184707099888e+06 1.5670283762546752e+06 1.5568564779603076e+06 1.4289591207679969e+06 1.2973477268581148e+06 1.1847401272898519e+06 1.0773964950925168e+06 9.7347054263074079e+05 8.7576563103520090e+05 7.8523970671488740e+05 7.0163705060596287e+05 6.2542393064650486e+05 5.5688763882271841e+05 4.9552623734919046e+05 4.4064656609167648e+05 3.9159450878287072e+05 3.4779599635360524e+05 3.0910054925007664e+05 2.7851285996567114e+05 2.6213888974490145e+05 2.4803099502798115e+05 2.2456551423659187e+05 1.9888641490965939e+05 1.7538364157525182e+05 1.5450260565629503e+05 1.3602499539352505e+05 1.1969924106197449e+05 1.0529496140516651e+05 9.2604637710021008e+04 8.1441601270563377e+04 7.1637916999367560e+04 6.3042421103461522e+04 5.5518964135786358e+04 4.8944819696630861e+04 4.3209262372230354e+04 3.8212284524656985e+04 3.3563154456612217e+04 2.9561281493845319e+04 2.6115653697726237e+04 2.3144334960431363e+04 2.0573523165767288e+04 1.8336731330716320e+04 1.6374050403417330e+04 1.4631432369430033e+04 1.3059927616695342e+04 1.1614698435681632e+04 1.0253754187535405e+04 8.9368147135240106e+03 7.6233076129278206e+03 6.2684850863307938e+03 4.8203778324168316e+03 3.2141971696250548e+03 1.3635969673439697e+03 -8.5247750810170214e+02 -3.6115522916609411e+03 -7.1828021276430463e+03 -1.1986062454465065e+04 -1.8680035271042685e+04 -2.8276381917090253e+04 -4.2223913007094707e+04 -6.2341484290499451e+04 -9.0438194866623133e+04 -1.2758726037087172e+05 -1.7330698300713889e+05 -2.2511716314101938e+05 -2.7887319285261218e+05 -3.2981250984781107e+05 -3.7383434456905950e+05 -4.0845529631108505e+05 -4.3315153776997660e+05 -4.4897462195690075e+05 -4.5792781355202396e+05 -4.6222780160442315e+05 -4.6378670502275805e+05 -4.6395448242513981e+05 -4.6367646159030939e+05 -4.6324727764574008e+05 -4.6274489356868959e+05 -4.6219337995866541e+05 -4.6161625359527842e+05 -4.6100675147014717e+05 -4.6036565149886720e+05 -4.5966741394649277e+05 -4.5892004547874274e+05 -4.5810980062029063e+05 -4.5722591860795312e+05 -4.5625532692239666e+05 -4.5518330830482679e+05 -4.5399300364222063e+05 -4.5266571922132763e+05 -4.5118122868967161e+05 -4.4951670753456751e+05 -4.4764799511734088e+05 -4.4554907215343928e+05 -4.4319310905167344e+05 -4.4055320463936182e+05 -4.3760373743675294e+05 -4.3432841740225005e+05 -4.3069847741376719e+05 -4.2671422161047772e+05 -4.2238487569939729e+05 -4.1774439143248618e+05 -4.1285055314716563e+05 -4.0781336684907658e+05 -4.0280032606377895e+05 -3.9806090099158377e+05 -3.9395818899156526e+05 -3.9100895345678105e+05 -3.8995232181092037e+05 -3.9184977000122401e+05 -3.9825845004586485e+05 -4.1153726298833574e+05 -4.3542293683771801e+05 -4.7617752999305527e+05 1.8783901687392150e+04 +8.4065231047313251e-03 9.0154326196621041e+04 2.6737139468846028e+05 5.7092523143036605e+05 9.6390298411154002e+05 1.3457240451634908e+06 1.5652329702486806e+06 1.5551266307046574e+06 1.4274221271121763e+06 1.2960032454163886e+06 1.1835649390444136e+06 1.0763806112398207e+06 9.7260456109770341e+05 8.7503692981856025e+05 7.8463463457233727e+05 7.0114211716415430e+05 6.2502568662714900e+05 5.5657322139616276e+05 4.9528397618897888e+05 4.4046604366007313e+05 3.9146646029113757e+05 3.4771220570035232e+05 3.0905391737123730e+05 2.7849927601769118e+05 2.6216168697609269e+05 2.4809185639571495e+05 2.2465609782056266e+05 1.9899834279526016e+05 1.7551098230337183e+05 1.5464057830109808e+05 1.3616954646988580e+05 1.1984693088376048e+05 1.0544289386714748e+05 9.2750399085620011e+04 8.1583204247301968e+04 7.1773749118086824e+04 6.3171196987216455e+04 5.5639680898368926e+04 4.9056715126322801e+04 4.3311775409558591e+04 3.8305017562010566e+04 3.3645080414863332e+04 2.9632200172043016e+04 2.6175431453481913e+04 2.3192859261884252e+04 2.0610657309230766e+04 1.8362268988243079e+04 1.6387669621695659e+04 1.4632648244438835e+04 1.3048041921407295e+04 1.1588742642851435e+04 1.0212417055557369e+04 8.8783532632768602e+03 7.5454204328589431e+03 6.1681109626753150e+03 4.6934208237690291e+03 3.0551085365519070e+03 1.1647485004354530e+03 -1.1017607257226191e+03 -3.9265140212065708e+03 -7.5856847805997450e+03 -1.2510007647438395e+04 -1.9375105816514006e+04 -2.9218037261983631e+04 -4.3522704320679637e+04 -6.4149762639575609e+04 -9.2946586014740169e+04 -1.3100423757353536e+05 -1.7782164684621664e+05 -2.3085521914871360e+05 -2.8586320031660644e+05 -3.3797623236820288e+05 -3.8300444285718654e+05 -4.1841248474540183e+05 -4.4366801438552118e+05 -4.5984833585351286e+05 -4.6900297335531365e+05 -4.7339909324950038e+05 -4.7499214521772671e+05 -4.7516261717234773e+05 -4.7487751630068163e+05 -4.7443781944948586e+05 -4.7392324778100819e+05 -4.7335839522421110e+05 -4.7276732287155243e+05 -4.7214309505146911e+05 -4.7148651060273469e+05 -4.7077140570774826e+05 -4.7000598315381142e+05 -4.6917616524408665e+05 -4.6827093136950524e+05 -4.6727689326385013e+05 -4.6617897806586121e+05 -4.6495991849604901e+05 -4.6360057384452556e+05 -4.6208022277712187e+05 -4.6037549222367408e+05 -4.5846163775314734e+05 -4.5631201165057911e+05 -4.5389913625040499e+05 -4.5119546046020824e+05 -4.4817474300205335e+05 -4.4482030473149428e+05 -4.4110267747156409e+05 -4.3702217541135172e+05 -4.3258824697589880e+05 -4.2783566418429313e+05 -4.2282360727569199e+05 -4.1766473954926478e+05 -4.1253059980433690e+05 -4.0767668862371478e+05 -4.0347486891276378e+05 -4.0045438978371123e+05 -3.9937223250490567e+05 -4.0131551633098873e+05 -4.0787900817252480e+05 -4.2147859145977109e+05 -4.4594125859787915e+05 -4.8768034414425190e+05 1.9015664237555164e+04 +8.4583345090906772e-03 8.9926468026219925e+04 2.6694649946800014e+05 5.7016416977149993e+05 9.6271162716692872e+05 1.3441293778136256e+06 1.5634368725125229e+06 1.5533952021715888e+06 1.4258826074995690e+06 1.2946553695198831e+06 1.1823855454279757e+06 1.0753597910672615e+06 9.7173301344673114e+05 8.7430213575422904e+05 7.8402304443798715e+05 7.0064034343944071e+05 6.2462037350673322e+05 5.5625158403762791e+05 4.9503441139631980e+05 4.4027819213051652e+05 3.9133110728943808e+05 3.4762117757580953e+05 3.0900014309336594e+05 2.7847858816811594e+05 2.6217717694549204e+05 2.4814516586045572e+05 2.2473914304630409e+05 1.9910289537533518e+05 1.7563116110249254e+05 1.5477162896412710e+05 1.3630743383020337e+05 1.1998822749241252e+05 1.0558471058129103e+05 9.2890324493268476e+04 8.1719249275739610e+04 7.1904295995973836e+04 6.3294951950065180e+04 5.5755630029220825e+04 4.9164082928995791e+04 4.3409985630913230e+04 3.8393655789396682e+04 3.3723114779331678e+04 2.9699408044633801e+04 2.6231655461281589e+04 2.3237961869965413e+04 2.0644475419303213e+04 1.8384568186658591e+04 1.6398097669125567e+04 1.4630687012742934e+04 1.3032956048311298e+04 1.1559521366225936e+04 1.0167700305836368e+04 8.8163408946714680e+03 7.4637431629412504e+03 6.0636253165576018e+03 4.5619290091181392e+03 2.8909320878652416e+03 9.6008900081976708e+02 -1.3578085856853331e+03 -4.2495154461723223e+03 -7.9983432706196036e+03 -1.3046141107798458e+04 -2.0085778801042037e+04 -3.0180176286837108e+04 -4.4848922598358193e+04 -6.5995100550547621e+04 -9.5504812869945978e+04 -1.3448699404459694e+05 -1.8242061512483848e+05 -2.3669750339309746e+05 -2.9297721801396192e+05 -3.4628207189723221e+05 -3.9233190788718458e+05 -4.2853881585321471e+05 -4.5436192725662881e+05 -4.7090474667540175e+05 -4.8026377455571829e+05 -4.8475741217839770e+05 -4.8638508311766275e+05 -4.8655825567405106e+05 -4.8626594588330324e+05 -4.8581555610076035e+05 -4.8528859149181773e+05 -4.8471017639602930e+05 -4.8410492464334093e+05 -4.8346572477003693e+05 -4.8279339681852277e+05 -4.8206114242572064e+05 -4.8127736378022179e+05 -4.8042764540371118e+05 -4.7950070249652723e+05 -4.7848282576352381e+05 -4.7735858079147479e+05 -4.7611028530582058e+05 -4.7471834412840783e+05 -4.7316153265660355e+05 -4.7141592008880753e+05 -4.6945616843587236e+05 -4.6725499104138004e+05 -4.6478425132446474e+05 -4.6201573740045406e+05 -4.5892257782517496e+05 -4.5548769784703845e+05 -4.5168091650009988e+05 -4.4750255819606152e+05 -4.4296229780086159e+05 -4.3809574132387078e+05 -4.3296348825699673e+05 -4.2768090364274167e+05 -4.2242363922106416e+05 -4.1745332683707023e+05 -4.1315074156373087e+05 -4.1005782709455065e+05 -4.0894971719431510e+05 -4.1093960338335228e+05 -4.1766049667147116e+05 -4.3158621605598781e+05 -4.5663552822741366e+05 -4.9937557439581171e+05 1.9250283294314864e+04 +8.5104652394767649e-03 8.9697257639868098e+04 2.6652046050049405e+05 5.6940232272565668e+05 9.6151985493345407e+05 1.3425343990129929e+06 1.5616400892701580e+06 1.5516622237176606e+06 1.4243406005696319e+06 1.2933041303033463e+06 1.1812019867473771e+06 1.0743340834429711e+06 9.7085595443461218e+05 8.7356130829767953e+05 7.8340499917082232e+05 7.0013179425808298e+05 6.2420805681041535e+05 5.5592279200116359e+05 4.9477760708894738e+05 4.4008307376900251e+05 3.9118850957015145e+05 3.4752296879539773e+05 3.0893927995334880e+05 2.7845084738244140e+05 2.6218541079671326e+05 2.4819097479297235e+05 2.2481469813994775e+05 1.9920011594457971e+05 1.7574421582085319e+05 1.5489578984296112e+05 1.3643868393463426e+05 1.2012315161120413e+05 1.0572042660662952e+05 9.3024423460070873e+04 8.1849740533357675e+04 7.2029556680776877e+04 6.3413680157874063e+04 5.5866801079480916e+04 4.9266908319252310e+04 4.3503874195175937e+04 3.8478176587877009e+04 3.3797231170774096e+04 2.9762875264609884e+04 2.6284292676745998e+04 2.3279606787538749e+04 2.0674938762228958e+04 1.8403587640065460e+04 1.6405290855131447e+04 1.4625502678634417e+04 1.3014621729249751e+04 1.1526984001582765e+04 1.0119550797774751e+04 8.7507215468261238e+03 7.3782162029844148e+03 5.9549640943617569e+03 4.4258326036944482e+03 2.7215905645554108e+03 7.4953137109471413e+02 -1.6207212612803646e+03 -4.5806743279388356e+03 -8.4209193530393350e+03 -1.3594637774758859e+04 -2.0812275403953416e+04 -3.1163084191625887e+04 -4.6202939292823161e+04 -6.7877979970383734e+04 -9.8113489343939887e+04 -1.3803628878142359e+05 -1.8710479301287673e+05 -2.4264505626439376e+05 -3.0021640200546809e+05 -3.5473127679218876e+05 -4.0181805713427038e+05 -4.3883565571326396e+05 -4.6523467432481918e+05 -4.8214527138253039e+05 -4.9171164403163810e+05 -4.9630418929150089e+05 -4.9796695023870678e+05 -4.9814282834323088e+05 -4.9784317946020374e+05 -4.9738191522753390e+05 -4.9684235071850446e+05 -4.9625014777294832e+05 -4.9563048142609617e+05 -4.9497606126079697e+05 -4.9428772880617151e+05 -4.9353804060813476e+05 -4.9273560156353837e+05 -4.9186565280797135e+05 -4.9091664097337320e+05 -4.8987453041427443e+05 -4.8872351917113818e+05 -4.8744550309324090e+05 -4.8602042500340403e+05 -4.8442654868311761e+05 -4.8263937635710114e+05 -4.8063296663409448e+05 -4.7837938332570053e+05 -4.7584982001425361e+05 -4.7301539306525042e+05 -4.6984859042148391e+05 -4.6633193517058966e+05 -4.6243452173523518e+05 -4.5815668492260546e+05 -4.5350832979078224e+05 -4.4852591016767098e+05 -4.4327146832729742e+05 -4.3786311584297655e+05 -4.3248068557901861e+05 -4.2739204229142971e+05 -4.2298702096181404e+05 -4.1982047031826054e+05 -4.1868597755169094e+05 -4.2072323867752036e+05 -4.2760414281038300e+05 -4.4186140496491262e+05 -4.6750708751680056e+05 -5.1126468812010169e+05 1.9487794007523538e+04 +8.5629172639719534e-03 8.9466675611574246e+04 2.6609326445042581e+05 5.6863966759863740e+05 9.6032766371769109e+05 1.3409391381678355e+06 1.5598425906004766e+06 1.5499276920839001e+06 1.4227961228237750e+06 1.2919495590253454e+06 1.1800143026802437e+06 1.0733035360099475e+06 9.6997343761514290e+05 8.7281450546681567e+05 7.8278056042039022e+05 6.9961653325247869e+05 6.2378880082298059e+05 5.5558690936582617e+05 4.9451362627703545e+05 4.3988074978477345e+05 3.9103872593094921e+05 3.4741763525263901e+05 3.0887138064081676e+05 2.7841610384809010e+05 2.6218643894985621e+05 2.4822933390788731e+05 2.2488281077061646e+05 1.9929004735228801e+05 1.7585018397266581e+05 1.5501309291041194e+05 1.3656332312257137e+05 1.2025172394002642e+05 1.0585005706921135e+05 9.3152705662845969e+04 8.1974682419744364e+04 7.2149530505179544e+04 6.3527376114618455e+04 5.5973183981570284e+04 4.9365176925534040e+04 4.3593422698081966e+04 3.8558557787918580e+04 3.3867403661882279e+04 2.9822572428275322e+04 2.6333310479108834e+04 2.3317758410770137e+04 2.0702008956791738e+04 1.8419286364561114e+04 1.6409205731330130e+04 1.4617049421067593e+04 1.2992990797236873e+04 1.1491079968834554e+04 1.0067915336635722e+04 8.6814390271694356e+03 7.2887797449282516e+03 5.8420629589021346e+03 4.2850614611740675e+03 2.5470062613611585e+03 5.3298797003458242e+02 -1.8905995881999947e+03 -4.9201092405246418e+03 -8.8535557912881086e+03 -1.4155673851674535e+04 -2.1554818395729657e+04 -3.2167048153929336e+04 -4.7585128218438622e+04 -6.9798885455256343e+04 -1.0077323187052176e+05 -1.4165288268176490e+05 -1.9187508631302891e+05 -2.4869891692197145e+05 -3.0758190486867464e+05 -3.6332508958219987e+05 -4.1146420009416866e+05 -4.4930436066933675e+05 -4.7628764251168951e+05 -4.9357131507583376e+05 -5.0334799631626235e+05 -5.0804084290006949e+05 -5.0973916540997865e+05 -5.0991775287868665e+05 -5.0961063344139932e+05 -5.0913831175286829e+05 -5.0858593878769467e+05 -5.0797972097898042e+05 -5.0734540307520988e+05 -5.0667551251636416e+05 -5.0597091259948374e+05 -5.0520350415708392e+05 -5.0438209812218201e+05 -5.0349158660084824e+05 -5.0252014324412640e+05 -5.0145340069692978e+05 -5.0027518341112597e+05 -4.9896695842856035e+05 -4.9750819898732431e+05 -4.9587664884073805e+05 -4.9404723392771301e+05 -4.9199339953923220e+05 -4.8968654928500782e+05 -4.8709719590472116e+05 -4.8419577297765540e+05 -4.8095411730607244e+05 -4.7735434321350837e+05 -4.7336480860112095e+05 -4.6898585884632805e+05 -4.6422763297892205e+05 -4.5912744657620840e+05 -4.5374880839971639e+05 -4.4821262167787767e+05 -4.4270296909673250e+05 -4.3749405072977359e+05 -4.3298491031907697e+05 -4.2974351366001391e+05 -4.2858220455492724e+05 -4.3066761898717837e+05 -4.3771116293547163e+05 -4.5230541508729040e+05 -4.7855726631586644e+05 -5.2334913963052392e+05 1.9728231958496166e+04 +8.6156925627883726e-03 8.9234704350698928e+04 2.6566488974233822e+05 5.6787619409297733e+05 9.5913503580993728e+05 1.3393435679024071e+06 1.5580443933321997e+06 1.5481916261377486e+06 1.4212491799000900e+06 1.2905916848683737e+06 1.1788225328082596e+06 1.0722681951601692e+06 9.6908551520042366e+05 8.7206178416958195e+05 7.8214978870637983e+05 6.9909462287575216e+05 6.2336266863549466e+05 5.5524399904811510e+05 4.9424253086499963e+05 4.3967128033200488e+05 3.9088181417348259e+05 3.4730523191816820e+05 3.0879649699354667e+05 2.7837440696958173e+05 2.6218031109563448e+05 2.4826029325463210e+05 2.2494352803870881e+05 1.9937273198774969e+05 1.7594910272241218e+05 1.5512356989630742e+05 1.3668137759324964e+05 1.2037396513557149e+05 1.0597361714093585e+05 9.3275180905073765e+04 8.2094079534036791e+04 7.2264217064630589e+04 6.3636034640533071e+04 5.6074769027614442e+04 4.9458874769777045e+04 4.3678613152362908e+04 3.8634777651035438e+04 3.3933606760540250e+04 2.9878470560318852e+04 2.6378676658509477e+04 2.3352381518467453e+04 2.0725647965903514e+04 1.8431623671768932e+04 1.6409799087180207e+04 1.4605281590984772e+04 1.2968015185240267e+04 1.1451758711725715e+04 1.0012740673783555e+04 8.6084370116840073e+03 7.1953737727609669e+03 5.7248572886601469e+03 4.1395450720165281e+03 2.3671010240515461e+03 3.1037060863729351e+02 -2.1675450699213829e+03 -5.2679395776612910e+03 -9.2963963660112859e+03 -1.4729426817603724e+04 -2.2313632152225036e+04 -3.3192357345103199e+04 -4.8995865568384223e+04 -7.1758304185442903e+04 -1.0348465941364728e+05 -1.4533753854075674e+05 -1.9673240144544799e+05 -2.5486012326623313e+05 -3.1507487565609853e+05 -3.7206474691594671e+05 -4.2127163822592050e+05 -4.5994627726580622e+05 -4.8752220765147579e+05 -5.0518427092792199e+05 -5.1517423352790670e+05 -5.1996877865639026e+05 -5.2170313470186084e+05 -5.2188443419378734e+05 -5.2156971145300538e+05 -5.2108614782669424e+05 -5.2052075626640511e+05 -5.1990029488989513e+05 -5.1925108671477059e+05 -5.1856547381620546e+05 -5.1784434153737733e+05 -5.1705892429708183e+05 -5.1621824241889716e+05 -5.1530683329246246e+05 -5.1431259314463881e+05 -5.1322081750874734e+05 -5.1201495116417349e+05 -5.1067602536317584e+05 -5.0918303611297009e+05 -5.0751319866895780e+05 -5.0564085330309311e+05 -5.0353882199728861e+05 -5.0117783741251810e+05 -4.9852772035901592e+05 -4.9555821050982969e+05 -4.9224048292469158e+05 -4.8855623650827521e+05 -4.8447308064445993e+05 -4.7999137145465956e+05 -4.7512148574911297e+05 -4.6990161488823494e+05 -4.6439675800188241e+05 -4.5873065543023497e+05 -4.5309170888298872e+05 -4.4776055691697396e+05 -4.4314560198338534e+05 -4.3982814054132957e+05 -4.3863957842803636e+05 -4.4077393027814978e+05 -4.4798276240953471e+05 -4.6291949197475502e+05 -4.8978738246548438e+05 -5.3563037010831025e+05 1.9971633165288953e+04 +8.6687931283426691e-03 8.9001324618291022e+04 2.6523531920179271e+05 5.6711188647440763e+05 9.5794195849830587e+05 1.3377476963565596e+06 1.5562455103874337e+06 1.5464540403310633e+06 1.4196998008486566e+06 1.2892305374227061e+06 1.1776267150242699e+06 1.0712281058875942e+06 9.6819223817316093e+05 8.7130320038765506e+05 7.8151274337952107e+05 6.9856612440811342e+05 6.2292972217829968e+05 5.5489412281136389e+05 4.9396438165194687e+05 4.3945472450693522e+05 3.9071783110450837e+05 3.4718581283621961e+05 3.0871467999499425e+05 2.7832580536284327e+05 2.6216707618736353e+05 2.4828390220768968e+05 2.2499689646406248e+05 1.9944821176635192e+05 1.7604100886900339e+05 1.5522725227026647e+05 1.3679287338648734e+05 1.2048989579041296e+05 1.0609112201815854e+05 9.3391859095575041e+04 8.2207936652559700e+04 7.2373616194743110e+04 6.3739650849752994e+04 5.6171546847870166e+04 4.9547988246540153e+04 4.3759427968193791e+04 3.8706814851317256e+04 3.3995815393047531e+04 2.9930541098800270e+04 2.6420359402684648e+04 2.3383441260951382e+04 2.0745818087518433e+04 1.8440559161992587e+04 1.6407027945004516e+04 1.4590153708275557e+04 1.2939646924491446e+04 1.1408969697217128e+04 9.9539735065485147e+03 8.5316590448681945e+03 7.0979380621377677e+03 5.6032821767331370e+03 3.9892125615391806e+03 2.1817962463942399e+03 8.1590545844111418e+01 -2.4516598834431720e+03 -5.6242855602561685e+03 -9.7495858847381169e+03 -1.5316075439486278e+04 -2.3088942669562959e+04 -3.4239302947907912e+04 -5.0435529932700832e+04 -7.3756725980886040e+04 -1.0624839347711726e+05 -1.4909102105054582e+05 -2.0167764543442661e+05 -2.6112971191008858e+05 -3.2269645985839667e+05 -3.8095147951615398e+05 -4.3124166489931371e+05 -4.7076274219325185e+05 -4.9893973443349486e+05 -5.1698552012270025e+05 -5.2719174530820735e+05 -5.3208938949312316e+05 -5.3386025136473693e+05 -5.3404426435508672e+05 -5.3372180427660455e+05 -5.3322681276355183e+05 -5.3264819089780340e+05 -5.3201325557719439e+05 -5.3134891668026242e+05 -5.3064732766508695e+05 -5.2990939620124630e+05 -5.2910567951669777e+05 -5.2824541070165730e+05 -5.2731276670024230e+05 -5.2629536184116907e+05 -5.2517814910542278e+05 -5.2394418747118715e+05 -5.2257406536745030e+05 -5.2104629387044581e+05 -5.1933755120627722e+05 -5.1742158252906671e+05 -5.1527057645166083e+05 -5.1285458385665208e+05 -5.1014272246004746e+05 -5.0710402682800725e+05 -5.0370899959792639e+05 -4.9993891755255481e+05 -4.9576062947670423e+05 -4.9117450241159380e+05 -4.8619115478210745e+05 -4.8084966786812420e+05 -4.7521655522179644e+05 -4.6941844008186134e+05 -4.6364811288720625e+05 -4.5819275458901189e+05 -4.5347027738701610e+05 -4.5007552354999416e+05 -4.4885926858994644e+05 -4.5104334766046860e+05 -4.5842013556043373e+05 -4.7370486977558106e+05 -5.0119874174160312e+05 -5.4810980753992137e+05 2.0218034088039760e+04 +8.7222209653312274e-03 8.8766517730151128e+04 2.6480453571288381e+05 5.6634671631054173e+05 9.5674839857472747e+05 1.3361514943501882e+06 1.5544459140996782e+06 1.5447149254390770e+06 1.4181480099801526e+06 1.2878661429496652e+06 1.1764268856839053e+06 1.0701833124044091e+06 9.6729365656296664e+05 8.7053880906735628e+05 7.8086948250359704e+05 6.9803109793717321e+05 6.2249002222987148e+05 5.5453734127481293e+05 4.9367923832904763e+05 4.3923114034952509e+05 3.9054683253307518e+05 3.4705943112268916e+05 3.0862597976996127e+05 2.7827034685046982e+05 2.6214678243497101e+05 2.4830020945823393e+05 2.2504296197441270e+05 1.9951652811721776e+05 1.7612593882969816e+05 1.5532417122430619e+05 1.3689783636412691e+05 1.2059953641326242e+05 1.0620258690113557e+05 9.3502750226830074e+04 8.2316258707031724e+04 7.2477727949802051e+04 6.3838220128890644e+04 5.6263508389676026e+04 4.9632504102452025e+04 4.3835849933671983e+04 3.8774648457067451e+04 3.4054004887124320e+04 2.9978755879896049e+04 2.6458327283788862e+04 2.3410903148721820e+04 2.0762481945445525e+04 1.8446052716995226e+04 1.6400849554828445e+04 1.4571620458166868e+04 1.2907838142392324e+04 1.1362662414348852e+04 9.8915604777257086e+03 8.4510485393412637e+03 6.9964121796304216e+03 5.4772724294651116e+03 3.8339926876404729e+03 1.9910128668228801e+03 -1.5344151606763356e+02 -2.7430468853930847e+03 -5.9892682443283975e+03 -1.0213270191867556e+04 -1.5915799784836194e+04 -2.3880977579793947e+04 -3.5308178174441760e+04 -5.1904502317806735e+04 -7.5794643318910777e+04 -1.0906505811615883e+05 -1.5291409680255104e+05 -2.0671172589914818e+05 -2.6750871816046978e+05 -3.3044779937258846e+05 -3.8998651214175444e+05 -4.4137556535075809e+05 -4.8175508223972673e+05 -5.1054157635321742e+05 -5.2897643180573697e+05 -5.3940190877215657e+05 -5.4440405557198811e+05 -5.4621189577827032e+05 -5.4639862253301800e+05 -5.4606828979870654e+05 -5.4556168299181270e+05 -5.4496961755402770e+05 -5.4431997625350626e+05 -5.4364026446408429e+05 -5.4292244374439004e+05 -5.4216744436703878e+05 -5.4134513551617472e+05 -5.4046496644930658e+05 -5.3951074789750541e+05 -5.3846980778082821e+05 -5.3732675105081999e+05 -5.3606424471036787e+05 -5.3466242728364270e+05 -5.3309931715826027e+05 -5.3135104694036487e+05 -5.2939075714855967e+05 -5.2718999289150233e+05 -5.2471811237070768e+05 -5.2194351896160864e+05 -5.1883453084258270e+05 -5.1536096747339028e+05 -5.1150367676235066e+05 -5.0722873472953745e+05 -5.0253651951080537e+05 -4.9743789500821556e+05 -4.9197284665897180e+05 -4.8620942666290730e+05 -4.8027718727011990e+05 -4.7437337785244064e+05 -4.6879182640780485e+05 -4.6396010700212192e+05 -4.6048682439593261e+05 -4.5924243361138203e+05 -4.6147703534178605e+05 -4.6902446563688200e+05 -4.8466277119074564e+05 -5.1279263780745747e+05 -5.6078886666492082e+05 2.0467471634373760e+04 +8.7759780908058544e-03 8.8530267655689211e+04 2.6437251611265691e+05 5.6558067116740590e+05 9.5555435990050877e+05 1.3345549615371074e+06 1.5526456122651843e+06 1.5429743020713408e+06 1.4165938138711522e+06 1.2864985287712060e+06 1.1752230792111247e+06 1.0691338581914974e+06 9.6638981959225645e+05 8.6976866386756510e+05 7.8022006279202690e+05 6.9748960233312962e+05 6.2204362841170572e+05 5.5417371391498891e+05 4.9338715948121413e+05 4.3900058483954071e+05 3.9036887327197596e+05 3.4692613896343706e+05 3.0853044558167586e+05 2.7820807845737826e+05 2.6211947729891640e+05 2.4830926300518739e+05 2.2508176989498496e+05 1.9957772196850390e+05 1.7620392862564436e+05 1.5541435765622955e+05 1.3699629219194342e+05 1.2070290740966165e+05 1.0630802697323338e+05 9.3607864353924626e+04 8.2419050763336912e+04 7.2576552580826043e+04 6.3931738115453103e+04 5.6350644896087993e+04 4.9712409415841998e+04 4.3907862195129965e+04 3.8838257912401816e+04 3.4108150955050529e+04 3.0023087122595542e+04 2.6492549244760372e+04 2.3434733040916097e+04 2.0775602479631849e+04 1.8448064492356698e+04 1.6391221388604627e+04 1.4549636687317750e+04 1.2872541060005506e+04 1.1312786372812008e+04 9.8254481746508591e+03 8.3665487750464981e+03 6.8907354816902716e+03 5.3467625647661607e+03 3.6738138382594225e+03 1.7946713647932659e+03 -3.9481543642324260e+02 -3.0418096185009204e+03 -6.3630095293023132e+03 -1.0687596179365426e+04 -1.6528781235039492e+04 -2.4689966167155966e+04 -3.6399278285312976e+04 -5.3403166166620882e+04 -7.7872551352995710e+04 -1.1193527995108349e+05 -1.5680753429140514e+05 -2.1183555104654678e+05 -2.7399817600010749e+05 -3.3833003247703274e+05 -3.9917106355550099e+05 -4.5167461664734333e+05 -4.9292461425321031e+05 -5.2232907567168213e+05 -5.4115836304484250e+05 -5.5180608846882218e+05 -5.5691414424352464e+05 -5.5875943541054369e+05 -5.5894887495954544e+05 -5.5861053296970960e+05 -5.5809212201499706e+05 -5.5748639819345437e+05 -5.5682181723284256e+05 -5.5612648867650016e+05 -5.5539217886874988e+05 -5.5461984096306807e+05 -5.5377864516940294e+05 -5.5287826033696393e+05 -5.5190212517266872e+05 -5.5083727665056568e+05 -5.4966796617521893e+05 -5.4837646255794051e+05 -5.4694244728378393e+05 -5.4534343824230228e+05 -5.4355501376796153e+05 -5.4154970015924831e+05 -5.3929838881459215e+05 -5.3676973427492741e+05 -5.3393141424947220e+05 -5.3075101916959463e+05 -5.2719767448606924e+05 -5.2325179243326996e+05 -5.1887866401398991e+05 -5.1407867863714788e+05 -5.0886294957060134e+05 -5.0327238074666599e+05 -4.9737658740672277e+05 -4.9130809725242428e+05 -4.8526868928082258e+05 -4.7955894392646838e+05 -4.7461625030768960e+05 -4.7106319387833879e+05 -4.6979022118125524e+05 -4.7207614659544209e+05 -4.7979692477372137e+05 -4.9579440743475308e+05 -5.2457035217565286e+05 -5.7366894893447461e+05 2.0719983164874327e+04 +8.8300665342499283e-03 8.8292551567138158e+04 2.6393924741336907e+05 5.6481373445818236e+05 9.5435982421602192e+05 1.3329580737714521e+06 1.5508446014199704e+06 1.5412321742152644e+06 1.4150372390625707e+06 1.2851277244808294e+06 1.1740153305773595e+06 1.0680797853849912e+06 9.6548077564574068e+05 8.6899281708983867e+05 7.7956453969680495e+05 6.9694169522204378e+05 6.2159059918190795e+05 5.5380329907277017e+05 4.9308820258604747e+05 4.3876311389909039e+05 3.9018400713706732e+05 3.4678598761224037e+05 3.0842812582856964e+05 2.7813904640667804e+05 2.6208520748301200e+05 2.4831111014669866e+05 2.2511336493749509e+05 1.9963183373581723e+05 1.7627501386744314e+05 1.5549784215314203e+05 1.3708826632186776e+05 1.2080002906294962e+05 1.0640745738117876e+05 9.3707211573864668e+04 8.2516318000018917e+04 7.2670090514405063e+04 6.4020200676517888e+04 5.6432947885203423e+04 4.9787691576376877e+04 4.3975448237728946e+04 3.8897623018943748e+04 3.4158229676529532e+04 3.0063507413223051e+04 2.6522994585537061e+04 2.3454897133290255e+04 2.0785142936283326e+04 1.8446554909549275e+04 1.6378101134159175e+04 1.4524157399439853e+04 1.2833707989152768e+04 1.1259291101074865e+04 9.7555831279879203e+03 8.2781028981532108e+03 6.7808471132868790e+03 5.2116868101618365e+03 3.5086040285152594e+03 1.5926917568170004e+03 -6.4262164141937683e+02 -3.3480523184230174e+03 -6.7456321667594866e+03 -1.1172711797762062e+04 -1.7155202499213312e+04 -2.5516139385145416e+04 -3.7512900609448625e+04 -5.4931907379974698e+04 -7.9990947932633251e+04 -1.1485968818207315e+05 -1.6077210392297816e+05 -2.1705002966940173e+05 -2.8059911807432194e+05 -3.4634429381034808e+05 -4.0850634649747860e+05 -4.6214008765780402e+05 -5.0427264511195029e+05 -5.3430356338600768e+05 -5.5353265879612789e+05 -5.6440563634795486e+05 -5.6962101001466042e+05 -5.7150422478829231e+05 -5.7169637489681330e+05 -5.7134988577320438e+05 -5.7081948037741671e+05 -5.7019988183031557e+05 -5.6952012590230664e+05 -5.6880893501518201e+05 -5.6805787695892563e+05 -5.6726792803939118e+05 -5.6640754849036690e+05 -5.6548663019958208e+05 -5.6448823399929819e+05 -5.6339910134795820e+05 -5.6220312454588281e+05 -5.6088216795557493e+05 -5.5941544884034223e+05 -5.5777997672472650e+05 -5.5595076696338865e+05 -5.5389972198266489e+05 -5.5159706919596903e+05 -5.4901074842543120e+05 -5.4610770031166542e+05 -5.4285477610087360e+05 -5.3922039632926474e+05 -5.3518453070995025e+05 -5.3071167289392720e+05 -5.2580222373824276e+05 -5.2046754979675519e+05 -5.1474948792988015e+05 -5.0871924098629464e+05 -5.0251235887561797e+05 -4.9633522140756366e+05 -4.9049526756349474e+05 -4.8543985576159187e+05 -4.8180577185681398e+05 -4.8050376807999599e+05 -4.8284182373323361e+05 -4.9073867396408861e+05 -5.0710097821103281e+05 -5.3653315417734894e+05 -5.8675144247972628e+05 2.0975606498619458e+04 +8.8844883376550145e-03 8.8053352622192615e+04 2.6350470578372624e+05 5.6404588624936843e+05 9.5316475405021780e+05 1.3313608242440687e+06 1.5490428758660019e+06 1.5394885494830466e+06 1.4134783027621764e+06 1.2837537551512972e+06 1.1728036751988842e+06 1.0670211346518020e+06 9.6456657193487289e+05 8.6821131986337702e+05 7.7890296757575986e+05 6.9638743298209179e+05 6.2113099183995766e+05 5.5342615395403258e+05 4.9278242401614052e+05 4.3851878239240748e+05 3.8999228694572987e+05 3.4663902739023627e+05 3.0831906804079219e+05 2.7806329611412616e+05 2.6204401892990468e+05 2.4830579747194803e+05 2.2513779119063530e+05 1.9967890330961879e+05 1.7633922974056102e+05 1.5557465497605404e+05 1.3717378397454630e+05 1.2089092151543629e+05 1.0650089321545413e+05 9.3800802005215126e+04 8.2608065687579394e+04 7.2758342331597873e+04 6.4103603887843456e+04 5.6510409129416905e+04 4.9858338265130158e+04 4.4038591866344126e+04 3.8952723917256888e+04 3.4204217481617059e+04 3.0099989689854378e+04 2.6549632949317151e+04 2.3471361946187117e+04 2.0791066857591744e+04 1.8441484647489691e+04 1.6361446688694021e+04 1.4495137750532607e+04 1.2791291328987687e+04 1.1202126144089099e+04 9.6819118100725645e+03 8.1856539196176363e+03 6.6666860061888492e+03 5.0719791004783756e+03 3.3382908975466148e+03 1.3849935922071502e+03 -8.9695112972875813e+02 -3.6618799209582053e+03 -7.1372597695703089e+03 -1.1668766067699031e+04 -1.7795247628711102e+04 -2.6359729874145825e+04 -3.8649344564978957e+04 -5.6491114339306419e+04 -8.2150333625254236e+04 -1.1783891460638383e+05 -1.6480857802234401e+05 -2.2235607114538740e+05 -2.8731257568384521e+05 -3.5449171435675322e+05 -4.1799356766692881e+05 -4.7277323903343343e+05 -5.1580047170154651e+05 -5.4646635920532222e+05 -5.6610065188597515e+05 -5.7720189173826145e+05 -5.8252599452823098e+05 -5.8444760547076922e+05 -5.8464246261699253e+05 -5.8428768720285769e+05 -5.8374509564500360e+05 -5.8311140451226011e+05 -5.8241623669534130e+05 -5.8168893624322861e+05 -5.8092086901530984e+05 -5.8011303474607028e+05 -5.7923317261401378e+05 -5.7829140101358970e+05 -5.7727039701535192e+05 -5.7615660195772443e+05 -5.7493354344592057e+05 -5.7358267509084928e+05 -5.7208274270453327e+05 -5.7041023952434654e+05 -5.6853960916042479e+05 -5.6644212044702796e+05 -5.6408732646680216e+05 -5.6144244119343127e+05 -5.5847365671743639e+05 -5.5514707358430058e+05 -5.5143039643571025e+05 -5.4730314556823100e+05 -5.4272900486343482e+05 -5.3770838680669316e+05 -5.3225291517807008e+05 -5.2640537430264440e+05 -5.2023857936647406e+05 -5.1389114956249914e+05 -5.0757413718045654e+05 -5.0160194658293755e+05 -4.9643206078307237e+05 -4.9271568723586842e+05 -4.9138420016010752e+05 -4.9377519808699569e+05 -5.0185086304280098e+05 -5.1858367169113975e+05 -5.4868230094301107e+05 -6.0003772208694159e+05 2.1234379918790833e+04 +8.9392455555979619e-03 8.7812649866935841e+04 2.6306887409589469e+05 5.6327710026326042e+05 9.5196915196319646e+05 1.3297632025793598e+06 1.5472404400356484e+06 1.5377434411606279e+06 1.4119170219781040e+06 1.2823766456901559e+06 1.1715881465266177e+06 1.0659579454092404e+06 9.6364725425183156e+05 8.6742422228484927e+05 7.7823539978975116e+05 6.9582687076932448e+05 6.2066486252831854e+05 5.5304233463547158e+05 4.9246987904174102e+05 4.3826764412969316e+05 3.8979376451913093e+05 3.4648530768426415e+05 3.0820331887945242e+05 2.7798087218630209e+05 2.6199595681448857e+05 2.4829337085426168e+05 2.2515509210929778e+05 1.9971897004353756e+05 1.7639661099186732e+05 1.5564482604358089e+05 1.3725287012197642e+05 1.2097560475039705e+05 1.0658834949085495e+05 9.3888645767910857e+04 8.2694299168170401e+04 7.2841308747139497e+04 6.4181944013181943e+04 5.6583020634993496e+04 4.9924337434459383e+04 4.4097277185939958e+04 3.9003541068739192e+04 3.4246091133797738e+04 3.0132507226565784e+04 2.6572434308169417e+04 2.3484094312081772e+04 2.0793338071256272e+04 1.8432814634042032e+04 1.6341216152029307e+04 1.4462533043736283e+04 1.2745243562400110e+04 1.1141241060682922e+04 9.6043806328996379e+03 8.0891447133708170e+03 6.5481908769760621e+03 4.9275730752630971e+03 3.1628017050379290e+03 1.1714959484819526e+03 -1.1578954784328894e+03 -3.9833980696131389e+03 -7.5380168214985551e+03 -1.2175909092023550e+04 -1.8449102032137431e+04 -2.7220971980013921e+04 -3.9808911680773301e+04 -5.8081177929958205e+04 -8.4351211738793703e+04 -1.2087359363750907e+05 -1.6891773084681356e+05 -2.2775458544141814e+05 -2.9413957877977606e+05 -3.6277342143678147e+05 -4.2763392770962964e+05 -4.8357532319157559e+05 -5.2750938090138766e+05 -5.5881877153899241e+05 -5.7886366299337242e+05 -5.9019618133594759e+05 -5.9563042654872045e+05 -5.9759090604283742e+05 -5.9778846538775426e+05 -5.9742526325062127e+05 -5.9687029239107983e+05 -5.9622228930864541e+05 -5.9551147108419775e+05 -5.9476781217622256e+05 -5.9398247311072121e+05 -5.9315647732151719e+05 -5.9225683178128686e+05 -5.9129388488415745e+05 -5.9024992400839180e+05 -5.8911108574146696e+05 -5.8786052736148122e+05 -5.8647928538502869e+05 -5.8494562689402560e+05 -5.8323552086452185e+05 -5.8132283033656515e+05 -5.7917818077041348e+05 -5.7677044050342601e+05 -5.7406608645401744e+05 -5.7103055060566834e+05 -5.6762917121026863e+05 -5.6382892596259050e+05 -5.5960887880100799e+05 -5.5493189133691113e+05 -5.4979838786522683e+05 -5.4422025335983792e+05 -5.3824123424285499e+05 -5.3193578293220792e+05 -5.2544563529595651e+05 -5.1898658824979980e+05 -5.1288011908420653e+05 -5.0759399174069701e+05 -5.0379405795281887e+05 -5.0243263233873883e+05 -5.0487738999682665e+05 -5.1313463067377644e+05 -5.3024366450377542e+05 -5.6101903739150672e+05 -6.1352914918786101e+05 2.1496342178341853e+04 +8.9943402553184625e-03 8.7570424264070331e+04 2.6263173232649418e+05 5.6250736904988659e+05 9.5077299529152829e+05 1.3281651911720659e+06 1.5454372803559797e+06 1.5359968453627855e+06 1.4103534076929772e+06 1.2809964218299759e+06 1.1703687757529898e+06 1.0648902562664291e+06 9.6272286698497983e+05 8.6663157330462441e+05 7.7756188864970626e+05 6.9526006257185631e+05 6.2019226623599941e+05 5.5265189606539765e+05 4.9215062183024612e+05 4.3800975186995871e+05 3.8958849068275135e+05 3.4632487694663368e+05 3.0808092413353262e+05 2.7789181841464649e+05 2.6194106553858175e+05 2.4827387544267415e+05 2.2516531050555606e+05 1.9975207274224854e+05 1.7644719191594564e+05 1.5570838491760127e+05 1.3732554947172682e+05 1.2105409857417442e+05 1.0666984112785359e+05 9.3970752963968756e+04 8.2775023834933105e+04 7.2918990589066889e+04 6.4255217483675988e+04 5.6650774621751210e+04 4.9985677288076266e+04 4.4151488582746715e+04 3.9050055237221102e+04 3.4283827712515478e+04 3.0161033617766265e+04 2.6591368949064541e+04 2.3493061363159170e+04 2.0791920679607221e+04 1.8420506036905666e+04 1.6317367819274459e+04 1.4426298723758557e+04 1.2695517251798574e+04 1.1076585420483261e+04 9.5229359457888349e+03 7.9885180141776109e+03 6.4253002246702563e+03 4.7784020758527231e+03 2.9820633274620418e+03 9.5211742647985966e+02 -1.4255468492989658e+03 -4.3127131235467241e+03 -7.9480286871633398e+03 -1.2694292068281826e+04 -1.9116952490986081e+04 -2.8100101773078997e+04 -4.0991905619027166e+04 -5.9702491566010794e+04 -8.6594088345796423e+04 -1.2396436232483544e+05 -1.7310033859886884e+05 -2.3324648311937999e+05 -3.0108115596357442e+05 -3.7119053870245506e+05 -4.3742862121138891e+05 -4.9454758431079698e+05 -5.3940064957853046e+05 -5.7136209749166807e+05 -5.9182300065061694e+05 -6.0338981920157315e+05 -6.0893562196169957e+05 -6.1093544210841286e+05 -6.1113569747104985e+05 -6.1076392690552748e+05 -6.1019638219572732e+05 -6.0953384630861506e+05 -6.0880713757381984e+05 -6.0804686967974470e+05 -6.0724399438301148e+05 -6.0639955908947100e+05 -6.0547982733962790e+05 -6.0449538104250026e+05 -6.0342811191575136e+05 -6.0226384713295347e+05 -6.0098536797935760e+05 -5.9957328749006544e+05 -5.9800538669081172e+05 -5.9625710226815450e+05 -5.9430170781352941e+05 -5.9210917556247790e+05 -5.8964767862357816e+05 -5.8688294558305794e+05 -5.8377963668222306e+05 -5.8030231621166039e+05 -5.7641722379260114e+05 -5.7210296001625096e+05 -5.6732155164763622e+05 -5.6207343496623880e+05 -5.5637076013787149e+05 -5.5025825040753093e+05 -5.4381202048674971e+05 -5.3717697061843355e+05 -5.3057371496539575e+05 -5.2433091199998034e+05 -5.1892676395252306e+05 -5.1504199097597197e+05 -5.1365016859281849e+05 -5.1614950881330110e+05 -5.2459110434840946e+05 -5.4208212173322914e+05 -5.7354459622471640e+05 -6.2722707185573434e+05 2.1761532505744421e+04 +9.0497745167971017e-03 8.7326655340874102e+04 2.6219326053231733e+05 5.6173666390157654e+05 9.4957625968796399e+05 1.3265667781713842e+06 1.5436333846770595e+06 1.5342487782019863e+06 1.4087874739534797e+06 1.2796131041136968e+06 1.1691455928220821e+06 1.0638181052579628e+06 9.6179345315711526e+05 8.6583342058737564e+05 7.7688248529257311e+05 6.9468706125617377e+05 6.1971325679572183e+05 5.5225489207052439e+05 4.9182470545029279e+05 4.3774515732688591e+05 3.8937651526928297e+05 3.4615778269470989e+05 3.0795192871673661e+05 2.7779617777381663e+05 2.6187938872629139e+05 2.4824735565494784e+05 2.2516848853893773e+05 1.9977824965088311e+05 1.7649100634192122e+05 1.5576536078805462e+05 1.3739184644989800e+05 1.2112642259864286e+05 1.0674538293405055e+05 9.4047133658017920e+04 8.2850245112853314e+04 7.2991388778675551e+04 6.4323420877798089e+04 5.6713663503117321e+04 5.0042346261765779e+04 4.4201210705062083e+04 3.9092247470849608e+04 3.4317404596411383e+04 3.0185542762209283e+04 2.6606407459291055e+04 2.3498230518351837e+04 2.0786779048577340e+04 1.8404520254344246e+04 1.6289860173422685e+04 1.4386390370978326e+04 1.2642065034653224e+04 1.1008108800527520e+04 9.4375240326216826e+03 7.8837164151535335e+03 6.2979523280852973e+03 4.6243991421868641e+03 2.7960022539792494e+03 7.2677614513630112e+02 -1.6999979953850589e+03 -4.6499321658788749e+03 -8.3674216224678257e+03 -1.3224067301780304e+04 -1.9798987175899147e+04 -2.8997357068050118e+04 -4.2198632198519852e+04 -6.1355451215886002e+04 -8.8879472309707926e+04 -1.2711186037687282e+05 -1.7735717944349011e+05 -2.3883267534639806e+05 -3.0813833449140191e+05 -3.7974418613746250e+05 -4.4737883669751417e+05 -5.0569125833101466e+05 -5.5147554459221778e+05 -5.8409762286645046e+05 -6.0497996124540595e+05 -6.1678410676324251e+05 -6.2244288377745776e+05 -6.2448251629716565e+05 -6.2468546012958337e+05 -6.2430497815764847e+05 -6.2372466364918416e+05 -6.2304737262406456e+05 -6.2230453170964448e+05 -6.2152740267572692e+05 -6.2070672504570486e+05 -6.1984357046377275e+05 -6.1890344774551806e+05 -6.1789717585036159e+05 -6.1680624482845492e+05 -6.1561616774660966e+05 -6.1430934419254225e+05 -6.1286595729345956e+05 -6.1126329464663588e+05 -6.0947625256736041e+05 -6.0747750626074697e+05 -6.0523636482592335e+05 -6.0272029559452343e+05 -5.9989426746285835e+05 -5.9672215722570929e+05 -5.9316774346619344e+05 -5.8919651653669518e+05 -5.8478660664561053e+05 -5.7989919305004599e+05 -5.7453472419653775e+05 -5.6870561946367461e+05 -5.6245759374178958e+05 -5.5586844925666414e+05 -5.4908629863714194e+05 -5.4233664638412162e+05 -5.3595544110168854e+05 -5.3043148168967804e+05 -5.2646058230873581e+05 -5.2503790196394699e+05 -5.2759265289535001e+05 -5.3622140039146377e+05 -5.5410019692399504e+05 -5.8626019793727878e+05 -6.4113282481092110e+05 2.2029990610797006e+04 +9.1055504328338803e-03 8.7081322824475545e+04 2.6175343627627831e+05 5.6096497127492109e+05 9.4837892515766399e+05 1.3249679538348820e+06 1.5418287655733908e+06 1.5324992357982383e+06 1.4072192415460628e+06 1.2782267139305247e+06 1.1679186275789309e+06 1.0627415296749342e+06 9.6085905462557310e+05 8.6502981061431603e+05 7.7619723961870407e+05 6.9410791859406035e+05 6.1922788687693200e+05 5.5185137535771169e+05 4.9149218187547137e+05 4.3747391117036087e+05 3.8915788712141983e+05 3.4598407150978118e+05 3.0781637666884193e+05 2.7769399241681478e+05 2.6181096921817353e+05 2.4821385517107719e+05 2.2516466770813320e+05 1.9979753844302523e+05 1.7652808762108529e+05 1.5581578245864177e+05 1.3745178518590023e+05 1.2119259622416740e+05 1.0681498958580346e+05 9.4117797858297912e+04 8.2919968438704571e+04 7.3058504310529257e+04 6.4386550901341332e+04 5.6771679866189370e+04 5.0094333003526415e+04 4.4246428444339443e+04 3.9130099083758840e+04 3.4346799445900608e+04 3.0206008847193985e+04 2.6617520712042820e+04 2.3499569470470738e+04 2.0777877796331191e+04 1.8384818905589480e+04 1.6258651877297127e+04 1.4342763695189587e+04 1.2584839618614023e+04 1.0935760781461337e+04 9.3480911087686363e+03 7.7746823649134385e+03 6.1660852428171856e+03 4.4654970092531266e+03 2.6045445820572372e+03 4.9538973596505474e+02 -1.9813422679844332e+03 -4.9951630123769928e+03 -8.7963227854472952e+03 -1.3765388219084687e+04 -2.0495395663382093e+04 -2.9912977444635388e+04 -4.3429399419084948e+04 -6.3040455429133362e+04 -9.1207875310941337e+04 -1.3031673018471106e+05 -1.8168903352633270e+05 -2.4451407390758381e+05 -3.1531214028229110e+05 -3.8843548006436939e+05 -4.5748575663954258e+05 -5.1700757296213653e+05 -5.6373532280104887e+05 -5.9702662217788910e+05 -6.1833582903484977e+05 -6.3038033283410117e+05 -6.3615350214670761e+05 -6.3823341828076879e+05 -6.3843904163892171e+05 -6.3804970401416894e+05 -6.3745642236987408e+05 -6.3676415240947693e+05 -6.3600493609325367e+05 -6.3521069215808879e+05 -6.3437194439878711e+05 -6.3348978896631498e+05 -6.3252896858366847e+05 -6.3150054281759739e+05 -6.3038559400768066e+05 -6.2916931639078073e+05 -6.2783372211598628e+05 -6.2635855793572951e+05 -6.2472061059842038e+05 -6.2289422791429155e+05 -6.2085147771173995e+05 -6.1856099597662466e+05 -6.1598953364311054e+05 -6.1310128849817743e+05 -6.0985934210254392e+05 -6.0622667551529652e+05 -6.0216801855050493e+05 -5.9766102395451185e+05 -5.9266601073679235e+05 -5.8718343969253893e+05 -5.8122600345975475e+05 -5.7484042349016503e+05 -5.6810621490643302e+05 -5.6117475103818567e+05 -5.5427650028034858e+05 -5.4775481101036200e+05 -5.4210923818923102e+05 -5.3805091700436163e+05 -5.3659691457348107e+05 -5.3920790963076975e+05 -5.4802662397338939e+05 -5.6629903209353785e+05 -5.9916705082700192e+05 -6.5524772943729744e+05 2.2301756690510199e+04 +9.1616701091272231e-03 8.6834406815035225e+04 2.6131224636594305e+05 5.6019226908279350e+05 9.4718100315845886e+05 1.3233686977467062e+06 1.5400234019138082e+06 1.5307482251636512e+06 1.4056487199174638e+06 1.2768372759634280e+06 1.1666879095704705e+06 1.0616605659552189e+06 9.5991971261885355e+05 8.6422078893459158e+05 7.7550620031988656e+05 6.9352268525278650e+05 6.1873620798523701e+05 5.5144139751652698e+05 4.9115310199147562e+05 4.3719606303293526e+05 3.8893265409560886e+05 3.4580378903785476e+05 3.0767431115176558e+05 2.7758530367297580e+05 2.6173584906682631e+05 2.4817341692580646e+05 2.2515388884149049e+05 1.9980997621130227e+05 1.7655846861426230e+05 1.5585967833305095e+05 1.3750538949667409e+05 1.2125263862288691e+05 1.0687867561083342e+05 9.4182755498271683e+04 8.2984199242077142e+04 7.3120338232950759e+04 6.4444604367722008e+04 5.6824816452314306e+04 5.0141626354547378e+04 4.4287126916343856e+04 3.9163591638186277e+04 3.4371990186143950e+04 3.0222406332504179e+04 2.6624679851630652e+04 2.3497046172957107e+04 2.0765181781789772e+04 1.8361363820962826e+04 1.6223701765453901e+04 1.4295374528882379e+04 1.2523793776208593e+04 1.0859490943395467e+04 9.2545833176221222e+03 7.6613581644549813e+03 6.0296367979536026e+03 4.3016281032534534e+03 2.4076160127737976e+03 2.5787533720623719e+02 -2.2696736239108482e+03 -5.3485142205151687e+03 -9.2348602475138177e+03 -1.4318409382030561e+04 -2.1206368953304427e+04 -3.0847204268749316e+04 -4.4684517486407742e+04 -6.4757905364405451e+04 -9.3579811875807398e+04 -1.3357961684813676e+05 -1.8609668299556716e+05 -2.5029159122146628e+05 -3.2260359792968014e+05 -3.9726553315510630e+05 -4.6775055746734492e+05 -5.2849774769805395e+05 -5.7618123108270613e+05 -6.1015035867165925e+05 -6.3189187616852170e+05 -6.4417977363266773e+05 -6.5006875438542292e+05 -6.5218942479623097e+05 -6.5239771731614240e+05 -6.5199937852443091e+05 -6.5139293102699937e+05 -6.5068545688214386e+05 -6.4990962040496292e+05 -6.4909800621535617e+05 -6.4824091885608656e+05 -6.4733947924844478e+05 -6.4635765258660715e+05 -6.4530674262470857e+05 -6.4416741790830577e+05 -6.4292454909163387e+05 -6.4155975510936230e+05 -6.4005233983198658e+05 -6.3837858169134601e+05 -6.3651227180843987e+05 -6.3442486158790789e+05 -6.3208430386268056e+05 -6.2945662248541869e+05 -6.2650523263712833e+05 -6.2319240878925426e+05 -6.1948032258258003e+05 -6.1533293195537524e+05 -6.1072740506648039e+05 -6.0562318786078948e+05 -6.0002075366210344e+05 -5.9393307243990165e+05 -5.8740788721882203e+05 -5.8052645155889774e+05 -5.7344344810688286e+05 -5.6639438316762238e+05 -5.5973011522157025e+05 -5.5396111567474622e+05 -5.4981406918564602e+05 -5.4832827764128614e+05 -5.5099635545161308e+05 -5.6000786913036869e+05 -5.7867975775641727e+05 -6.1226635102064884e+05 -6.6957309380693105e+05 2.2576871435058569e+04 +9.2181356643534756e-03 8.6585884615710282e+04 2.6086966318812402e+05 5.5941853446581645e+05 9.4598242414358736e+05 1.3217689858279952e+06 1.5382172927147215e+06 1.5289957458099427e+06 1.4040759211556555e+06 1.2754448102394850e+06 1.1654534682087549e+06 1.0605752491387271e+06 9.5897546797651937e+05 8.6340640030528500e+05 7.7480941492837621e+05 6.9293141076632799e+05 6.1823827047155565e+05 5.5102500901872094e+05 4.9080751560613432e+05 4.3691166150879173e+05 3.8870086306376808e+05 3.4561697998737055e+05 3.0752577444832306e+05 2.7747015204429871e+05 2.6165406953234534e+05 2.4812608310321276e+05 2.2513619208875080e+05 1.9981559945635116e+05 1.7658218167958962e+05 1.5589707640079802e+05 1.3755268287173825e+05 1.2130656872223846e+05 1.0693645537069546e+05 9.4242016418016647e+04 8.3042942926529722e+04 7.3176891628842961e+04 6.4497578178546035e+04 5.6873066137398993e+04 5.0184215329898281e+04 4.4323291442766509e+04 3.9192706926208841e+04 3.4392954989967118e+04 3.0234709934387523e+04 2.6627856278953906e+04 2.3490628826651595e+04 2.0748656092744706e+04 1.8334117031668469e+04 1.6184968835604530e+04 1.4244178820348921e+04 1.2458880339328291e+04 1.0779248861362059e+04 9.1569467268135013e+03 7.5436859635792707e+03 5.8885445924225769e+03 4.1327245374521135e+03 2.2051418458108305e+03 1.4149587666852925e+01 -2.5650866331159068e+03 -5.7100950988979685e+03 -9.6831630051489356e+03 -1.4883286502253019e+04 -2.1932099486817548e+04 -3.1800280714481785e+04 -4.5964298838231662e+04 -6.6508204818147758e+04 -9.5995799405701124e+04 -1.3690116820332760e+05 -1.9058091202436801e+05 -2.5616614035944079e+05 -3.3001373071903124e+05 -4.0623545444578270e+05 -4.7817440958669788e+05 -5.4016299383831886e+05 -5.8881450635848253e+05 -6.2347008435288398e+05 -6.4564936271788762e+05 -6.5818369281863351e+05 -6.6418990500542137e+05 -6.6635179967901215e+05 -6.6656274954982055e+05 -6.6615526281097590e+05 -6.6553544937273883e+05 -6.6481254435712344e+05 -6.6401984143721324e+05 -6.6319060006485647e+05 -6.6231490197633160e+05 -6.6139389312483766e+05 -6.6039074967081158e+05 -6.5931702315561415e+05 -6.5815296221014403e+05 -6.5688310912561952e+05 -6.5548868381149310e+05 -6.5394854070503719e+05 -6.5223844241198525e+05 -6.5033161512672377e+05 -6.4819888472830434e+05 -6.4580751079707651e+05 -6.4312277935345494e+05 -6.4010731140389410e+05 -6.3672256240420544e+05 -6.3292988260799379e+05 -6.2869244667219627e+05 -6.2398693099536246e+05 -6.1877189556432841e+05 -6.1304782641320454e+05 -6.0682797494062711e+05 -6.0016112084625685e+05 -5.9313028182475874e+05 -5.8589349875691079e+05 -5.7869139032871078e+05 -5.7188243612995767e+05 -5.6598818538577307e+05 -5.6175110207188595e+05 -5.6023305151390703e+05 -5.6295905586275342e+05 -5.7216621879475971e+05 -5.9124349295071943e+05 -6.2555928250337590e+05 -6.8411021271461691e+05 2.2855376033808214e+04 +9.2749492302468921e-03 8.6335737587337018e+04 2.6042566221063497e+05 5.5864375023703789e+05 9.4478321487301227e+05 1.3201688269712541e+06 1.5364104355546462e+06 1.5272418060296248e+06 1.4025008567957585e+06 1.2740493369924342e+06 1.1642153313577836e+06 1.0594856127244337e+06 9.5802636065322976e+05 8.6258668856889324e+05 7.7410692982787068e+05 6.9233414351070754e+05 6.1773412354674796e+05 5.5060225921864342e+05 4.9045547145826655e+05 4.3662075415981968e+05 3.8846255991281767e+05 3.4542368812993390e+05 3.0737080796125776e+05 2.7734857720322971e+05 2.6156567107733118e+05 2.4807189512943890e+05 2.2511161691276374e+05 1.9981444407663422e+05 1.7659925866175795e+05 1.5592800422452600e+05 1.3759368845811050e+05 1.2135440518917186e+05 1.0698834304362921e+05 9.4295590346937519e+04 8.3096204851082060e+04 7.3228165596543244e+04 6.4545469304537131e+04 5.6916421913074046e+04 5.0222089099704004e+04 4.4354907532270881e+04 3.9217426951985661e+04 3.4409672260629632e+04 3.0242894609555686e+04 2.6627021636387384e+04 2.3480285866232036e+04 2.0728266033921511e+04 1.8303040759377822e+04 1.6142412239696536e+04 1.4189132626280507e+04 1.2390052193154019e+04 1.0694984100455116e+04 9.0551273240495702e+03 7.4216077570973266e+03 5.7427459910328871e+03 3.9587181077097830e+03 1.9970469741329628e+03 -2.3587137975898409e+02 -2.8676764866506683e+03 -6.0800157170700895e+03 -1.0141360992012369e+04 -1.5460176456186973e+04 -2.2672781164925284e+04 -3.2772451786811514e+04 -4.7269058171163560e+04 -6.8291760254781955e+04 -9.8456358208474179e+04 -1.4028203485183688e+05 -1.9514250683708538e+05 -2.6213863506776452e+05 -3.3754356064542144e+05 -4.1534634935977880e+05 -4.8875847740385268e+05 -5.5200451451657177e+05 -6.0163637562617846e+05 -6.3698704002282606e+05 -6.5960953671632544e+05 -6.7239334152753430e+05 -6.7851820575788838e+05 -6.8072179390267725e+05 -6.8093538784190989e+05 -6.8051860511288163e+05 -6.7988522428588814e+05 -6.7914666028685658e+05 -6.7833684313610080e+05 -6.7748971609402227e+05 -6.7659513450387307e+05 -6.7565426961508940e+05 -6.7462949697545276e+05 -6.7353261953778309e+05 -6.7234345986165444e+05 -6.7104622706257401e+05 -6.6962173617795832e+05 -6.6804838562554296e+05 -6.6630141462757532e+05 -6.6435347616382421e+05 -6.6217476143369928e+05 -6.5973182660009305e+05 -6.5698920903694932e+05 -6.5390872394110053e+05 -6.5045099574775295e+05 -6.4657654128764244e+05 -6.4224774045724282e+05 -6.3744077068260591e+05 -6.3211329301906854e+05 -6.2626580639517424e+05 -6.1991184775837720e+05 -6.1310124867871776e+05 -6.0591881683874468e+05 -5.9852600056609232e+05 -5.9116860585067421e+05 -5.8421284506642690e+05 -5.7819150761084445e+05 -5.7386306801445340e+05 -5.7231228569868742e+05 -5.7509706547969265e+05 -5.8450274482870637e+05 -6.0399134527625283e+05 -6.3904701715638919e+05 -6.9886036771828809e+05 2.3137312181415771e+04 +9.3321129516801115e-03 8.6083942261360542e+04 2.5998023575992932e+05 5.5786789573696163e+05 9.4358332971514016e+05 1.3185681867133542e+06 1.5346028168922854e+06 1.5254864012577245e+06 1.4009235381232307e+06 1.2726508748274271e+06 1.1629735245579300e+06 1.0583916894852463e+06 9.5707242902763234e+05 8.6176169633623713e+05 7.7339879023043474e+05 6.9173093070010433e+05 6.1722381529934623e+05 5.5017319635408872e+05 4.9009701722444035e+05 4.3632338751477172e+05 3.8821778954501473e+05 3.4522395629957056e+05 3.0720945221059973e+05 2.7722061798958667e+05 2.6147069336290003e+05 2.4801089366758542e+05 2.2508020208179043e+05 1.9980654535955403e+05 1.7660973087870376e+05 1.5595248892642662e+05 1.3762842904647358e+05 1.2139616641440730e+05 1.0703435260790469e+05 9.4343486885591206e+04 8.3143990311790651e+04 7.3274161231508711e+04 6.4588274766590781e+04 5.6954876867598665e+04 5.0255236970246973e+04 4.4381960862385451e+04 3.9237733913881435e+04 3.4422120614912186e+04 3.0246935538992086e+04 2.6622147793016778e+04 2.3465985946538891e+04 2.0703977114722569e+04 1.8268097405530742e+04 1.6095991274896249e+04 1.4130192104147780e+04 1.2317262269900679e+04 1.0606646210591660e+04 8.9490710126085487e+03 7.2950653806373393e+03 5.5921781201967169e+03 3.7795402877130286e+03 1.7832558783687202e+03 -4.9227194488907679e+02 -3.1775390049594498e+03 -6.4583869156860665e+03 -1.0609585091474524e+04 -1.6049237300605952e+04 -2.3428609367716239e+04 -3.3763964345052729e+04 -4.8599112468216474e+04 -7.0108980837695519e+04 -1.0096201153041904e+05 -1.4372287019141993e+05 -1.9978225573743216e+05 -2.6820998979223432e+05 -3.4519410844003240e+05 -4.2459931973055279e+05 -4.9950391935589281e+05 -5.6402350473704853e+05 -6.1464805600041884e+05 -6.5070245532415912e+05 -6.7377363420450839e+05 -6.8680995842558576e+05 -6.9305489568031568e+05 -6.9530064563236036e+05 -6.9551686885730724e+05 -6.9509064083333570e+05 -6.9444348981942853e+05 -6.9368903731350822e+05 -6.9286185665124829e+05 -6.9199658390777837e+05 -6.9108284441965399e+05 -6.9012183499084332e+05 -6.8907511891393433e+05 -6.8795475419402658e+05 -6.8674013112546178e+05 -6.8541512081081269e+05 -6.8396012753173872e+05 -6.8235308706205280e+05 -6.8056870763522410e+05 -6.7857906068067218e+05 -6.7635369351087546e+05 -6.7385844864535425e+05 -6.7105710393231863e+05 -6.6791065705230902e+05 -6.6437888934784255e+05 -6.6042147211717453e+05 -6.5599997895133565e+05 -6.5109008104340499e+05 -6.4564852747183864e+05 -6.3967583024036710e+05 -6.3318581599463895e+05 -6.2622938345740456e+05 -6.1889315630715794e+05 -6.1134203982325550e+05 -6.0382710266743531e+05 -5.9672240233962133e+05 -5.9057213173102587e+05 -5.8615100853890670e+05 -5.8456701890584698e+05 -5.8741142806666344e+05 -5.9701850806780288e+05 -6.1692441093809321e+05 -6.5273071480716183e+05 -7.1382482719312899e+05 2.3422722084001307e+04 +9.3896289867451341e-03 8.5830479042528939e+04 2.5953334874056082e+05 5.5709094552969607e+05 9.4238276163611398e+05 1.3169670631094852e+06 1.5327944242308720e+06 1.5237295410687348e+06 1.3993439767619502e+06 1.2712494429356644e+06 1.1617280730833150e+06 1.0572935115061109e+06 9.5611370957985334e+05 8.6093146478588542e+05 7.7268504018170456e+05 6.9112181840562762e+05 6.1670739272182633e+05 5.4973786755543749e+05 4.8973219952266640e+05 4.3601960707502993e+05 3.8796659587492532e+05 3.4501782639218599e+05 3.0704174683294847e+05 2.7708631240806810e+05 2.6136917524500069e+05 2.4794311861175421e+05 2.2504198566187639e+05 1.9979193797117047e+05 1.7661362911246362e+05 1.5597055717609799e+05 1.3765692705652959e+05 1.2143187049691025e+05 1.0707449782530928e+05 9.4385715488685368e+04 8.3186304524174120e+04 7.3314879607541050e+04 6.4625991616954117e+04 5.6988424167294099e+04 5.0283648365602457e+04 4.4404437261045110e+04 3.9253610186625585e+04 3.4430278865992208e+04 3.0246808111947164e+04 2.6613206829538780e+04 2.3447697928940986e+04 2.0675755036881448e+04 1.8229249540432062e+04 1.6045665374031387e+04 1.4067313504242858e+04 1.2240463542162002e+04 1.0514184720924011e+04 8.8387236064991794e+03 7.1640005061233323e+03 5.4367778633428725e+03 3.5951222238828218e+03 1.5636926208763120e+03 -7.5513700736734631e+02 -3.4947706465203014e+03 -6.8453203170589231e+03 -1.1087967149577655e+04 -1.6650628288477295e+04 -2.4199780974020436e+04 -3.4775067126965521e+04 -4.9954781027546953e+04 -7.1960278461116730e+04 -1.0351328558992280e+05 -1.4722433044925152e+05 -2.0450094913795995e+05 -2.7438111970608641e+05 -3.5296639359696157e+05 -4.3399546383565367e+05 -5.1041188794363884e+05 -5.7622115141327609e+05 -6.2785075475998642e+05 -6.6461754878927395e+05 -6.8814287928742322e+05 -7.0143476976135431e+05 -7.0780120115518465e+05 -7.1008958027869067e+05 -7.1030841648328723e+05 -7.0987259260079078e+05 -7.0921146725943009e+05 -7.0844089532390214e+05 -7.0759610039225721e+05 -7.0671242038922710e+05 -7.0577924699877645e+05 -7.0479780283602560e+05 -7.0372882722859364e+05 -7.0258463689664844e+05 -7.0134418363885873e+05 -6.9999099567769887e+05 -6.9850506062290969e+05 -6.9686384493688063e+05 -6.9504151822046889e+05 -6.9300956196361047e+05 -6.9073687033096841e+05 -6.8818856191614864e+05 -6.8532764409651537e+05 -6.8211428526241938e+05 -6.7850741151997203e+05 -6.7446583645219018e+05 -6.6995031573363964e+05 -6.6493600702274370e+05 -6.5937873429779161e+05 -6.5327902282256854e+05 -6.4665099310932646e+05 -6.3954662640842178e+05 -6.3205438855441776e+05 -6.2434269157426502e+05 -6.1666794261066092e+05 -6.0941215728810069e+05 -6.0313109626903187e+05 -5.9861595439190883e+05 -5.9699827909934160e+05 -5.9990317658839491e+05 -6.0971455837023410e+05 -6.3004377479857940e+05 -6.6661152328076598e+05 -7.2900484638773778e+05 2.3711648465397924e+04 +9.4474995068347944e-03 8.5575325090226237e+04 2.5908498631658714e+05 5.5631288634385029e+05 9.4118147896279697e+05 1.3153654248606376e+06 1.5309852602442584e+06 1.5219712237690592e+06 1.3977621816332326e+06 1.2698450568164047e+06 1.1604790016321624e+06 1.0561911090613739e+06 9.5515023755117168e+05 8.6009603375751479e+05 7.7196572262509482e+05 6.9050685158216232e+05 6.1618490172695031e+05 5.4929631885005790e+05 4.8936106391368422e+05 4.3570945731609134e+05 3.8770902182895213e+05 3.4480533936609305e+05 3.0686773057949665e+05 2.7694569762624666e+05 2.6126115476878922e+05 2.4786860908055489e+05 2.2499700500879827e+05 1.9977065594731967e+05 1.7661098359733185e+05 1.5598223517756313e+05 1.3767920452363396e+05 1.2146153522928465e+05 1.0710879222549166e+05 9.4422285448236784e+04 8.3223152605286887e+04 7.3350321758923266e+04 6.4658616921165762e+04 5.7017057037735671e+04 5.0307312808967821e+04 4.4422322688785353e+04 3.9265038303810150e+04 3.4434126006514445e+04 3.0242487909719650e+04 2.6600171023262257e+04 2.3425390867276201e+04 2.0643565681806453e+04 1.8186459891988685e+04 1.5991394095959442e+04 1.4000453161314275e+04 1.2159609015910019e+04 1.0417549133919270e+04 8.7240308252713439e+03 7.0283546369628375e+03 5.2764818559896421e+03 3.4053947299846036e+03 1.3382808394956851e+03 -1.0245519940955794e+03 -3.8194685168180240e+03 -7.2409283360970330e+03 -1.1576639988407733e+04 -1.7264509885632084e+04 -2.4986494381754554e+04 -3.5806010773436290e+04 -5.1336385491838235e+04 -7.3846067783689839e+04 -1.0611070961244263e+05 -1.5078707471577186e+05 -2.0929937959274455e+05 -2.8065294074059400e+05 -3.6086143440290011e+05 -4.4353587642795767e+05 -5.2148352977631910e+05 -5.8859863341783220e+05 -6.4124566940019967e+05 -6.7873352790427324e+05 -7.0271848419375508e+05 -7.1626898943231162e+05 -7.2275833597623650e+05 -7.2508981056646747e+05 -7.2531124189444422e+05 -7.2486567033161863e+05 -7.2419036519069399e+05 -7.2340344151726342e+05 -7.2254078009718482e+05 -7.2163842976345320e+05 -7.2068554487440176e+05 -7.1968337411146855e+05 -7.1859182105902571e+05 -7.1742346483507019e+05 -7.1615681247760076e+05 -7.1477504443192261e+05 -7.1325772568796377e+05 -7.1158184669082728e+05 -7.0972103071901109e+05 -7.0764616088528745e+05 -7.0532546889518888e+05 -7.0272333907132549e+05 -6.9980199731262517e+05 -6.9652077087843767e+05 -6.9283771842408448e+05 -6.8871078356695361e+05 -6.8409989238423528e+05 -6.7897968165534374e+05 -6.7330503706298966e+05 -6.6707649731217464e+05 -6.6030848097955226e+05 -6.5305406730368244e+05 -6.4540359058716067e+05 -6.3752901968414115e+05 -6.2969217646842636e+05 -6.2228314833498304e+05 -6.1586942894526885e+05 -6.1125892560197553e+05 -6.0960708354939229e+05 -6.1257333326561481e+05 -6.2259193467443355e+05 -6.4335051043589448e+05 -6.8069057846286229e+05 -7.4440166749495105e+05 2.4004134573474836e+04 +9.5057266967247395e-03 8.5318456993984262e+04 2.5863512469086616e+05 5.5553369110498391e+05 9.3997946880173695e+05 1.3137632774728006e+06 1.5291753174222922e+06 1.5202114528219383e+06 1.3961781614971058e+06 1.2684377298325468e+06 1.1592263336941539e+06 1.0550845113711632e+06 9.5418204780270741e+05 8.5925544195903081e+05 7.7124087947048142e+05 6.8988607408870687e+05 6.1565638715314749e+05 5.4884859517928283e+05 4.8898365489781147e+05 4.3539298169133888e+05 3.8744510934342258e+05 3.4458653524172172e+05 3.0668744131398119e+05 2.7679880997239175e+05 2.6114666916713095e+05 2.4778740341309676e+05 2.2494529676129049e+05 1.9974273268511865e+05 1.7660182400968616e+05 1.5598754865809795e+05 1.3769528308516118e+05 1.2148517808285872e+05 1.0713724908967341e+05 9.4453205876832610e+04 8.3254539556599513e+04 7.3380488662703268e+04 6.4686147739693421e+04 5.7040768745843328e+04 5.0326219904732563e+04 4.4435603220391509e+04 3.9272000940092323e+04 3.4433641191569899e+04 3.0233950689614467e+04 2.6583012832769189e+04 2.3399033993921847e+04 2.0607375097919972e+04 1.8139691334443050e+04 1.5933137115527730e+04 1.3929567486090082e+04 1.2074651723172159e+04 1.0316688919125067e+04 8.6049382885106479e+03 6.8880691028446099e+03 5.1112264805096602e+03 3.2102882814285863e+03 1.1069437410067558e+03 -1.3006028669867485e+03 -4.1517303776528779e+03 -7.6453241915715298e+03 -1.2075737419922714e+04 -1.7891043787646409e+04 -2.5788949528973670e+04 -3.6857047854196651e+04 -5.2744249878408467e+04 -7.5766766262136050e+04 -1.0875481586673432e+05 -1.5441176498105325e+05 -2.1417834183190868e+05 -2.8702636961936671e+05 -3.6888024797563005e+05 -4.5322164877792279e+05 -5.3271998561467661e+05 -6.0115712163716997e+05 -6.5483398769845418e+05 -6.9305158917117107e+05 -7.1750164935042162e+05 -7.3131381905903690e+05 -7.3792750142002257e+05 -7.4030253660682624e+05 -7.4052654362675222e+05 -7.4007107130531408e+05 -7.3938137957213249e+05 -7.3857787047931156e+05 -7.3769708890282165e+05 -7.3677580367144349e+05 -7.3580292811431072e+05 -7.3477973722881591e+05 -7.3366528701336461e+05 -7.3247242268871341e+05 -7.3117920022956573e+05 -7.2976844738083123e+05 -7.2821930052780628e+05 -7.2650826735711144e+05 -7.2460841709071794e+05 -7.2249002597876079e+05 -7.2012065390490554e+05 -7.1746394051383820e+05 -7.1448131916083861e+05 -7.1113126406279497e+05 -7.0737095414089423e+05 -7.0315745072586345e+05 -6.9844983855470794e+05 -6.9322222613815148e+05 -6.8742854759189987e+05 -6.8106935525035509e+05 -6.7415936996891082e+05 -6.6675278452859144e+05 -6.5894182815547904e+05 -6.5090207690127345e+05 -6.4290084404754604e+05 -6.3533640305299324e+05 -6.2878814674069639e+05 -6.2408093153610372e+05 -6.2239443889538676e+05 -6.2542290963634406e+05 -6.3565166506225569e+05 -6.5684568020955601e+05 -6.9496900437010685e+05 -7.6001651972740912e+05 2.4300224186540694e+04 +9.5643127546559074e-03 8.5059854242779504e+04 2.5818374336000488e+05 5.5475332919588813e+05 9.3877670509997581e+05 1.3121605689279914e+06 1.5273645710085204e+06 1.5184502207788092e+06 1.3945919270029222e+06 1.2670274784310765e+06 1.1579700926046581e+06 1.0539737477813230e+06 9.5320917474801023e+05 8.5840972710658144e+05 7.7051055162053625e+05 6.8925952869073290e+05 6.1512189274623687e+05 5.4839474040664406e+05 4.8860001592093502e+05 4.3507022263478552e+05 3.8717489936744346e+05 3.4436145310293220e+05 3.0650091601315397e+05 2.7664568493247678e+05 2.6102575485479267e+05 2.4769953916318584e+05 2.2488689683458811e+05 1.9970820093389813e+05 1.7658617945726111e+05 1.5598652285553154e+05 1.3770518396739225e+05 1.2150281619326632e+05 1.0715988143581447e+05 9.4478485691294554e+04 8.3280470246991841e+04 7.3405381220737807e+04 6.4708581110170897e+04 5.7059552581778073e+04 5.0340359320422678e+04 4.4444265027434987e+04 3.9274480893989385e+04 3.4428803722006924e+04 3.0221172368818327e+04 2.6561704883003255e+04 2.3368596705678945e+04 2.0567149487653653e+04 1.8088906876713118e+04 1.5870854213400233e+04 1.3854612956296849e+04 1.1985544714420721e+04 1.0211553506558330e+04 8.4813915099926508e+03 6.7430850542720464e+03 4.9409478606000066e+03 3.0097330092439752e+03 8.6960409426810895e+02 -1.5833761310323293e+03 -4.4916546567984187e+03 -8.0586219178116517e+03 -1.2585394260163101e+04 -1.8530392937321849e+04 -2.6607347915201772e+04 -3.7928432893950521e+04 -5.4178700610530199e+04 -7.7722794186883504e+04 -1.1144613970219994e+05 -1.5809906617203902e+05 -2.1913863279822862e+05 -2.9350232389408583e+05 -3.7702385029967694e+05 -4.6305386871656490e+05 -5.4412239042530023e+05 -6.1389777902968903e+05 -6.6861688777706237e+05 -7.0757291818463407e+05 -7.3249356345698156e+05 -7.4657044806185458e+05 -7.5330988633013656e+05 -7.5572894598050555e+05 -7.5595550765899068e+05 -7.5548998024905822e+05 -7.5478569381549233e+05 -7.5396536426222371e+05 -7.5306620743010612e+05 -7.5212572125332337e+05 -7.5113257429852837e+05 -7.5008806812993425e+05 -7.4895039925106301e+05 -7.4773268270762847e+05 -7.4641251707432151e+05 -7.4497237244601443e+05 -7.4339095058549824e+05 -7.4164426964077563e+05 -7.3970483700039028e+05 -7.3754231351850822e+05 -7.3512357784167363e+05 -7.3241151447456959e+05 -7.2936675309797504e+05 -7.2594690291058028e+05 -7.2210825074708392e+05 -7.1780696326284437e+05 -7.1300127204386308e+05 -7.0766474990189495e+05 -7.0175036604522693e+05 -6.9525868661889771e+05 -6.8820473900200159e+05 -6.8064384515226504e+05 -6.7267015582965210e+05 -6.6446290492753743e+05 -6.5629497424474079e+05 -6.4857293823177344e+05 -6.4188825596665672e+05 -6.3708297097162239e+05 -6.3536134121690411e+05 -6.3845290662673058e+05 -6.4889476682934747e+05 -6.7053033533230412e+05 -7.0944791322518454e+05 -7.7585061939874035e+05 2.4599961619819391e+04 +9.6232598924175204e-03 8.4799493553002379e+04 2.5773081793824575e+05 5.5397179297553923e+05 9.3757317885570391e+05 1.3105573206097011e+06 1.5255530337214612e+06 1.5166875252543010e+06 1.3930034832816301e+06 1.2656143205925624e+06 1.1567103000122788e+06 1.0528588467648404e+06 9.5223165162049537e+05 8.5755892598646553e+05 7.6977477892516018e+05 6.8862725703769841e+05 6.1458146113986766e+05 5.4793479732958972e+05 4.8821018937098759e+05 4.3474122156224510e+05 3.8689843186435587e+05 3.4413013109713938e+05 3.0630819076460472e+05 2.7648635714826157e+05 2.6089844742609531e+05 2.4760505309451910e+05 2.2482184041244150e+05 1.9966709278703987e+05 1.7656407847017757e+05 1.5597918250761670e+05 1.3770892797338197e+05 1.2151446634676082e+05 1.0717670200325578e+05 9.4498133597105742e+04 8.3300949395889416e+04 7.3425000242994502e+04 6.4725914029727610e+04 5.7073401841092818e+04 5.0349720768560284e+04 4.4448294360348613e+04 3.9272461070454556e+04 3.4419593027459967e+04 3.0204129008221124e+04 2.6536219949783703e+04 2.3334048549516610e+04 2.0522855194464086e+04 1.8034069650543159e+04 1.5804505265531156e+04 1.3775546107556720e+04 1.1892241050612092e+04 1.0102092279816077e+04 8.3533358914919427e+03 6.5933434567486147e+03 4.7655818554022862e+03 2.8036586937790994e+03 6.2618422304884643e+02 -1.8729588426842715e+03 -4.8393404580023098e+03 -8.4809363767431369e+03 -1.3105746343897516e+04 -1.9182721542685173e+04 -2.7441892623649015e+04 -3.9020422399264979e+04 -5.5640066549301991e+04 -7.9714574718077376e+04 -1.1418521958765799e+05 -1.6184964619193983e+05 -2.2418105168587598e+05 -3.0008172198358603e+05 -3.8529325626988284e+05 -4.7303362068505189e+05 -5.5569187343704875e+05 -6.2682176069346897e+05 -6.8259553818132426e+05 -7.2229868971177458e+05 -7.4769540357105993e+05 -7.6204005374950683e+05 -7.6890666720248701e+05 -7.7137021382611291e+05 -7.7159930750224774e+05 -7.7112356942224945e+05 -7.7040447887821973e+05 -7.6956709247542988e+05 -7.6864930386894196e+05 -7.6768934923439554e+05 -7.6667564861127303e+05 -7.6560953037817450e+05 -7.6444831956949376e+05 -7.6320540480090142e+05 -7.6185792087384441e+05 -7.6038797525482357e+05 -7.5877382903489377e+05 -7.5699100400596485e+05 -7.5501143790441530e+05 -7.5280416760474199e+05 -7.5033538105330442e+05 -7.4756719709501788e+05 -7.4445943054147298e+05 -7.4096881353354268e+05 -7.3705072840071982e+05 -7.3266043466387922e+05 -7.2775529888313811e+05 -7.2230835070052336e+05 -7.1627158100046846e+05 -7.0964556992552208e+05 -7.0244565564287663e+05 -6.9472830501167919e+05 -6.8658961707601172e+05 -6.7821253449932754e+05 -6.6987558512678335e+05 -6.6199375995878188e+05 -6.5517075233977882e+05 -6.5026603217255278e+05 -6.4850877610596968e+05 -6.5166431462463399e+05 -6.6232224656025926e+05 -6.8440551595187059e+05 -7.2412840554287913e+05 -7.9190517001931940e+05 2.4903391732009699e+04 +9.6825703354305858e-03 8.4537351307321631e+04 2.5727632847617782e+05 5.5318906100859027e+05 9.3636886039404012e+05 1.3089534968297142e+06 1.5237406712015702e+06 1.5149233820392047e+06 1.3914128358788311e+06 1.2641982752204055e+06 1.1554469769064495e+06 1.0517398351237734e+06 9.5124951006324228e+05 8.5670307449232775e+05 7.6903360013412510e+05 6.8798929964711342e+05 6.1403513384270819e+05 5.4746880768422713e+05 4.8781421658368019e+05 4.3440601887240337e+05 3.8661574581757665e+05 3.4389260643659369e+05 3.0610930076638306e+05 2.7632086041541799e+05 2.6076478165176520e+05 2.4750398117485421e+05 2.2475016194210705e+05 1.9961943967366483e+05 1.7653554899011212e+05 1.5596555184060198e+05 1.3770653546897607e+05 1.2152014496605967e+05 1.0718772323770844e+05 9.4512158071991667e+04 8.3315981557037478e+04 7.3439346430184407e+04 6.4738143437664003e+04 5.7082309807014790e+04 5.0354293989687183e+04 4.4447677531162648e+04 3.9265924463653377e+04 3.4405988649667524e+04 3.0182796796459763e+04 2.6506530944678518e+04 2.3295359208305999e+04 2.0474458689545398e+04 1.7975142898608374e+04 1.5734050232473057e+04 1.3692323523948275e+04 1.1794693794982346e+04 9.9882545688360406e+03 8.2207167163045542e+03 6.4387850846575830e+03 4.5850640533538899e+03 2.5919947580714261e+03 3.7660599856101413e+02 -2.1694386185569515e+03 -5.1948875712768941e+03 -8.9123832702866803e+03 -1.3636930539738627e+04 -1.9848195095448165e+04 -2.8292788343904012e+04 -4.0133274886335406e+04 -5.7128679026530379e+04 -8.1742533922924369e+04 -1.1697259715150423e+05 -1.6566417596150338e+05 -2.2930639998086871e+05 -3.0676548321644863e+05 -3.9368947973758361e+05 -4.8316198578624660e+05 -5.6742955820257473e+05 -6.3993021393839084e+05 -6.9677109795765753e+05 -7.3723006777773867e+05 -7.6310833520180453e+05 -7.7772380141625123e+05 -7.8471900828421314e+05 -7.8722750293646369e+05 -7.8745910429906193e+05 -7.8697299871643900e+05 -7.8623889335644885e+05 -7.8538421238050680e+05 -7.8444753407864610e+05 -7.8346784202311537e+05 -7.8243330393530789e+05 -7.8134527525187936e+05 -7.8016019750216801e+05 -7.7889173663141904e+05 -7.7751655726504151e+05 -7.7601639923431317e+05 -7.7436907687575440e+05 -7.7254960877059482e+05 -7.7052935514419246e+05 -7.6827672025984211e+05 -7.6575719185036898e+05 -7.6293211252191325e+05 -7.5976047096634004e+05 -7.5619811015795288e+05 -7.5219949543476501e+05 -7.4771896665938559e+05 -7.4271301342769864e+05 -7.3715411469630722e+05 -7.3099326954309293e+05 -7.2423107229151449e+05 -7.1688317618723854e+05 -7.0900720879642165e+05 -7.0070124434661947e+05 -6.9215198547000811e+05 -6.8364368401071092e+05 -6.7559986369847087e+05 -6.6863662106551277e+05 -6.6363109296769951e+05 -6.6183771874989942e+05 -6.6505811356161092e+05 -6.7593510021527752e+05 -6.9847225123246468e+05 -7.3901157021888753e+05 -8.0818136239341693e+05 2.5210559931922209e+04 +9.7422463228319066e-03 8.4273404332404345e+04 2.5682024475305193e+05 5.5240509677018330e+05 9.3516372372572182e+05 1.3073490732411791e+06 1.5219274909567081e+06 1.5131577765392042e+06 1.3898199913581712e+06 1.2627793522059375e+06 1.1541801436224079e+06 1.0506167388617448e+06 9.5026278067310597e+05 8.5584220756708668e+05 7.6828705289011111e+05 6.8734569591570320e+05 6.1348295125003613e+05 5.4699681213994662e+05 4.8741213784636365e+05 4.3406465394534596e+05 3.8632687923425098e+05 3.4364891539792821e+05 3.0590428032664838e+05 2.7614922768139100e+05 2.6062479147497794e+05 2.4739635857271156e+05 2.2467189512739895e+05 1.9956527235170983e+05 1.7650061836196380e+05 1.5594565455802393e+05 1.3769802637213055e+05 1.2151986809738624e+05 1.0719295727718194e+05 9.4520567351313657e+04 8.3325571102229587e+04 7.3448420357192721e+04 6.4745266198321617e+04 5.7086269733358073e+04 5.0354068734290762e+04 4.4442400895959945e+04 3.9254854139886636e+04 3.4387970225841273e+04 3.0157152033734441e+04 2.6472610899615971e+04 2.3252498486406101e+04 2.0421926558615713e+04 1.7912089962233658e+04 1.5659449148392287e+04 1.3604901828251090e+04 1.1692856004493595e+04 9.8699896423839200e+03 8.0834791424515070e+03 6.2793505147921878e+03 4.3993297656997465e+03 2.3746702609160648e+03 1.2079083168237479e+02 -2.4729036444481703e+03 -5.5583964836180758e+03 -9.3530791531859995e+03 -1.4179084765616866e+04 -2.0526980389971439e+04 -2.9160241395084024e+04 -4.1267250909203976e+04 -5.8644871878240272e+04 -8.3807100813952959e+04 -1.1980881722302348e+05 -1.6954332946068113e+05 -2.3451548150474252e+05 -3.1355452787478059e+05 -4.0221353355885943e+05 -4.9344004184244171e+05 -5.7933656266582082e+05 -6.5322427836404671e+05 -7.1114471674356109e+05 -7.5236820576523233e+05 -7.7873351240808656e+05 -7.9362284444017569e+05 -8.0074806167413900e+05 -8.0330196386267804e+05 -8.0353604692312866e+05 -8.0303941575685423e+05 -8.0229008359125850e+05 -8.0141786899629480e+05 -8.0046204168794875e+05 -7.9946234181415266e+05 -7.9840668095573038e+05 -7.9729644184878166e+05 -7.9608717041815689e+05 -7.9479281372091582e+05 -7.9338955976360710e+05 -7.9185877571335796e+05 -7.9017782303504960e+05 -7.8832121021105617e+05 -7.8625971204923640e+05 -7.8396109152845026e+05 -7.8139012660507613e+05 -7.7850737300902221e+05 -7.7527098200065549e+05 -7.7163589521775243e+05 -7.6755564845577278e+05 -7.6298364932430035e+05 -7.5787549845298356e+05 -7.5220311656082876e+05 -7.4591649736224068e+05 -7.3901624954921135e+05 -7.3151834575374797e+05 -7.2348159014275926e+05 -7.1500605916874367e+05 -7.0628226690464362e+05 -6.9760026755664009e+05 -6.8939223438401637e+05 -6.8228683692511241e+05 -6.7717912084103003e+05 -6.7534913401873689e+05 -6.7863527300377248e+05 -6.8973431321494794e+05 -7.1273155945153919e+05 -7.5409848462771787e+05 -8.2468037472356751e+05 2.5521512185194955e+04 +9.8022901075586234e-03 8.4007630202537228e+04 2.5636254969247396e+05 5.5161988600669790e+05 9.3395775673010363e+05 1.3057440445328548e+06 1.5201134679828130e+06 1.5113907057420611e+06 1.3882249608461473e+06 1.2613575612510764e+06 1.1529098180460110e+06 1.0494895833110425e+06 9.4927149345604086e+05 8.5497635903604934e+05 7.6753517375100416e+05 6.8669648415608541e+05 6.1292495266073488e+05 5.4651885029950098e+05 4.8700399239686853e+05 4.3371716514331591e+05 3.8603186914948042e+05 3.4339909332427231e+05 3.0569316286233102e+05 2.7597149104149709e+05 2.6047851000899335e+05 2.4728221965254543e+05 2.2458707292248460e+05 1.9950462089890448e+05 1.7645931332371375e+05 1.5591951383056401e+05 1.3768342014036869e+05 1.2151365139702320e+05 1.0719241593770563e+05 9.4523369412319327e+04 8.3329722205729995e+04 7.3452222456630538e+04 6.4747279084128582e+04 5.7085274827308996e+04 5.0349034745924997e+04 4.4432450837925193e+04 3.9239233220713933e+04 3.4365517472087289e+04 3.0127171115880872e+04 2.6434432951675601e+04 2.3205436295206389e+04 2.0365225488319909e+04 1.7844874269151878e+04 1.5580662109963887e+04 1.3513237672048735e+04 1.1586680721003086e+04 9.7472467001852001e+03 7.9415681955109594e+03 6.1149801196452554e+03 4.2083140197074117e+03 2.1516138896416978e+03 -1.4134033512798857e+02 -2.7834426846669676e+03 -5.9299683899637139e+03 -9.8031414461062941e+03 -1.4732348004725674e+04 -2.1219245542668428e+04 -3.0044459749794798e+04 -4.2422613088842503e+04 -6.0188981479428767e+04 -8.5908707388432551e+04 -1.2269442787448333e+05 -1.7348778377321616e+05 -2.3980910245875356e+05 -3.2044977724222612e+05 -4.1086642964780185e+05 -5.0386886345740163e+05 -5.9141399923540535e+05 -6.6670508594163065e+05 -7.2571753485809360e+05 -7.6771424650841614e+05 -7.9457207790445315e+05 -8.0973832439322153e+05 -8.1699496743611095e+05 -8.1959473502472672e+05 -8.1983127209182852e+05 -8.1932395601578464e+05 -8.1855918377789145e+05 -8.1766919520843856e+05 -8.1669395820688305e+05 -8.1567397869734862e+05 -8.1459690826980921e+05 -8.1346415719716542e+05 -8.1223036363565899e+05 -8.1090975955731364e+05 -8.0947804987437685e+05 -8.0791622403250553e+05 -8.0620118447744334e+05 -8.0430692266574746e+05 -8.0220362004635669e+05 -7.9985838958756742e+05 -7.9723528985828743e+05 -7.9429407902251277e+05 -7.9099205953685322e+05 -7.8728325946829061e+05 -7.8312027244804113e+05 -7.7845556118044455e+05 -7.7324382526177913e+05 -7.6745641957794002e+05 -7.6104231885526900e+05 -7.5400214633995574e+05 -7.4635219838626962e+05 -7.3815247173399443e+05 -7.2950507224513323e+05 -7.2060437717348011e+05 -7.1174632186366827e+05 -7.0337184651050786e+05 -6.9612236436987785e+05 -6.9091107302432298e+05 -6.8904397655622568e+05 -6.9239675223972520e+05 -7.0372086053805728e+05 -7.2718444809501350e+05 -7.6939021472715773e+05 -8.4140337272952439e+05 2.5836295021094909e+04 +9.8627039564332629e-03 8.3740003920170275e+04 2.5590321812829544e+05 5.5083339954424743e+05 9.3275093652155891e+05 1.3041383743412846e+06 1.5182986081970921e+06 1.5096221692970772e+06 1.3866277455715016e+06 1.2599329121072276e+06 1.1516360183909475e+06 1.0483583926927497e+06 9.4827567751783610e+05 8.5410556148704421e+05 7.6677799820903467e+05 6.8604170164001570e+05 6.1236117629575951e+05 5.4603496069961262e+05 4.8658981843032927e+05 4.3336358981290780e+05 3.8573075162847858e+05 3.4314317462403106e+05 3.0547598089948919e+05 2.7578768173966568e+05 2.6032596953412006e+05 2.4716159796922444e+05 2.2449572752709582e+05 1.9943751470650069e+05 1.7641165999827057e+05 1.5588715228560535e+05 1.3766273575868414e+05 1.2150151011841305e+05 1.0718611069913389e+05 9.4520571959814653e+04 8.3328438828275059e+04 7.3450753002759506e+04 6.4744178759339389e+04 5.7079318232397840e+04 5.0339181744170557e+04 4.4417813750073539e+04 3.9219044865871852e+04 3.4338610166900464e+04 3.0092830518354960e+04 2.6391970327720373e+04 2.3154142638681060e+04 2.0304322252760063e+04 1.7773459320873037e+04 1.5497649264931248e+04 1.3417287725469061e+04 1.1476120962182709e+04 9.6199748648041314e+03 7.7949287612454045e+03 5.9456140603204094e+03 4.0119515515760149e+03 1.9227539525769894e+03 -4.0986703621248722e+02 -3.1011450916829026e+03 -6.3097052045468272e+03 -1.0262688449220163e+04 -1.5296860321808674e+04 -2.1925160012020340e+04 -3.0945653058574680e+04 -4.3599626142968038e+04 -6.1761346779054889e+04 -8.8047788668555848e+04 -1.2562998046557340e+05 -1.7749821913214799e+05 -2.4518807147065489e+05 -3.2745215365248651e+05 -4.1964917903219344e+05 -5.1444952208010387e+05 -6.0366297485860670e+05 -6.8037376110502577e+05 -7.4049068340383482e+05 -7.8326932240693597e+05 -8.1062516317275306e+05 -8.2607137115858612e+05 -8.3346085371238785e+05 -8.3610694283008086e+05 -8.3634590448543732e+05 -8.3582774292734556e+05 -8.3504731608403486e+05 -8.3413931188703759e+05 -8.3314440314564330e+05 -8.3210387077937683e+05 -8.3100510250400228e+05 -8.2984953636837518e+05 -8.2859089053641527e+05 -8.2724368571141199e+05 -8.2578313720636477e+05 -8.2418985165901796e+05 -8.2244026632049086e+05 -8.2050784865571128e+05 -8.1836217877190118e+05 -8.1596971085871721e+05 -8.1329377443731134e+05 -8.1029331935753836e+05 -8.0692478784239443e+05 -8.0314128209274670e+05 -7.9889444089068612e+05 -7.9413576931126521e+05 -7.8881905379269517e+05 -7.8291507575191441e+05 -7.7637177723479015e+05 -7.6918979622678191e+05 -7.6138575715964928e+05 -7.5302086540643172e+05 -7.4419928355725575e+05 -7.3511930405746039e+05 -7.2608282257004781e+05 -7.1753966423732846e+05 -7.1014415762148739e+05 -7.0482789659597841e+05 -7.0292319088295789e+05 -7.0634350038555614e+05 -7.1789570682233130e+05 -7.4183191396218364e+05 -7.8488781516913406e+05 -8.5835150976476783e+05 2.6154955539397601e+04 +9.9234901502493183e-03 8.3470500885390909e+04 2.5544222546556118e+05 5.5004562247367844e+05 9.3154322777248942e+05 1.3025320709722403e+06 1.5164828914229902e+06 1.5078521561368166e+06 1.3850283456527139e+06 1.2585054202599246e+06 1.1503587630850333e+06 1.0472231896721531e+06 9.4727536070172675e+05 8.5322984632643964e+05 7.6601556066158984e+05 6.8538138461108401e+05 6.1179165929776907e+05 5.4554518081432604e+05 4.8616965309946210e+05 4.3300396428573813e+05 3.8542356176564266e+05 3.4288119277071318e+05 3.0525276607166801e+05 2.7559783016390668e+05 2.6016720149488066e+05 2.4703452626502220e+05 2.2439789037921064e+05 1.9936398247131248e+05 1.7635768388462855e+05 1.5584859199695385e+05 1.3763599172908228e+05 1.2148345909984568e+05 1.0717405269181593e+05 9.4512182411364643e+04 8.3321724702088904e+04 7.3444012095405225e+04 6.4735961763100313e+04 5.7068393012006149e+04 5.0324499407678035e+04 4.4398476018738016e+04 3.9194272256911907e+04 3.4307228134756151e+04 3.0054106780239727e+04 2.6345196328999169e+04 2.3098587598726157e+04 2.0239183699796395e+04 1.7697808680170827e+04 1.5410370800621225e+04 1.3317008666763380e+04 1.1361129712146243e+04 9.4881231732413889e+03 7.6435055778369788e+03 5.7711922791630523e+03 3.8101767990653830e+03 1.6880183712219173e+03 -6.8486929140340567e+02 -3.4261008160834972e+03 -6.6977095725823210e+03 -1.0731839356075563e+04 -1.5872762880024082e+04 -2.2644894618952098e+04 -3.1864032674804701e+04 -4.4798556916225549e+04 -6.3362309336604027e+04 -9.0224782742792726e+04 -1.2861602968764149e+05 -1.8157531896634496e+05 -2.5065319964464509e+05 -3.3456258054301754e+05 -4.2856279191125615e+05 -5.2518308607511537e+05 -6.1608459110797406e+05 -6.9423142084363021e+05 -7.5546528436987929e+05 -7.9903455553272483e+05 -8.2689388858174533e+05 -8.4262310304874042e+05 -8.5014683685166191e+05 -8.5283970179516275e+05 -8.5308105686885549e+05 -8.5255188801512262e+05 -8.5175559077447653e+05 -8.5082932801022427e+05 -8.4981448413481028e+05 -8.4875312429929874e+05 -8.4763236843776656e+05 -8.4645368260567239e+05 -8.4516985268903815e+05 -8.4379569196105038e+05 -8.4230591959502304e+05 -8.4068075431212340e+05 -8.3889616195510898e+05 -8.3692507900440355e+05 -8.3473647619798419e+05 -8.3229614013012964e+05 -8.2956666157267382e+05 -8.2650617125551775e+05 -8.2307023968288116e+05 -8.1921103082492657e+05 -8.1487921587129345e+05 -8.1002532947853068e+05 -8.0460223273943586e+05 -7.9858012592758657e+05 -7.9190590464508894e+05 -7.8458022180546878e+05 -7.7662003429636685e+05 -7.6808777226032061e+05 -7.5908968247864360e+05 -7.4982802485896135e+05 -7.4061073496415990e+05 -7.3189664149353083e+05 -7.2435316077739617e+05 -7.1893052858505910e+05 -7.1698771149597061e+05 -7.2047645648546633e+05 -7.3225980647095246e+05 -7.5667494327792327e+05 -8.0059232941457862e+05 -8.7552592694473581e+05 2.6477541417352935e+04 +9.9846509838573579e-03 8.3199098505369038e+04 2.5497954762176180e+05 5.4925652630239923e+05 9.3033462573538069e+05 1.3009250943335753e+06 1.5146662939335911e+06 1.5060806770853458e+06 1.3834267700357237e+06 1.2570750989863360e+06 1.1490780698351536e+06 1.0460839962012954e+06 9.4627056971687567e+05 8.5234924395041168e+05 7.6524789438663353e+05 6.8471556826089206e+05 6.1121643773149245e+05 5.4504954705683526e+05 4.8574353251633892e+05 4.3263832388217875e+05 3.8511033368394413e+05 3.4261318030272325e+05 3.0502354912015208e+05 2.7540196584569884e+05 2.6000223649709093e+05 2.4690103646546660e+05 2.2429359215187657e+05 1.9928405218950452e+05 1.7629740984862254e+05 1.5580385447490116e+05 1.3760320605858162e+05 1.2145951275209174e+05 1.0715625268316537e+05 9.4498207883054958e+04 8.3309583315816490e+04 7.3431999644260344e+04 6.4722624493894677e+04 5.7052492132778221e+04 5.0304977357664648e+04 4.4374424006531561e+04 3.9164898580293768e+04 3.4271351229821223e+04 3.0010976488411572e+04 2.6294084315961427e+04 2.3038741320646564e+04 2.0169776737248543e+04 1.7617885958098679e+04 1.5318786932077013e+04 1.3212357171619506e+04 1.1241659911805389e+04 9.3516405681761044e+03 7.4872432278880078e+03 5.5916544921299874e+03 3.6029238937842579e+03 1.4473346721137968e+03 -9.6642761501419466e+02 -3.7584004168525144e+03 -7.0940848822636644e+03 -1.1210714267892185e+04 -1.6460197958044319e+04 -2.3378621567786897e+04 -3.2799811680427316e+04 -4.6019674411602464e+04 -6.4992213358690213e+04 -9.2440130808191447e+04 -1.3165313361061062e+05 -1.8571976994973619e+05 -2.5620530061024931e+05 -3.4178198250885855e+05 -4.3760827772011829e+05 -5.3607062079517765e+05 -6.2867994426176115e+05 -7.0827917480175057e+05 -7.7064245074320631e+05 -8.1501105775588495e+05 -8.4337936351339624e+05 -8.5939462693741871e+05 -8.6705402153312450e+05 -8.6979411467987369e+05 -8.7003783022405661e+05 -8.6949749101879797e+05 -8.6868510633925733e+05 -8.6774034079613641e+05 -8.6670529705910105e+05 -8.6562283376775496e+05 -8.6447979913389252e+05 -8.6327768744991557e+05 -8.6196833997975371e+05 -8.6056686642120476e+05 -8.5904748323316418e+05 -8.5739001608734892e+05 -8.5556995317769039e+05 -8.5355969296446326e+05 -8.5132758875415882e+05 -8.4883875068726100e+05 -8.4605502102868212e+05 -8.4293370053435769e+05 -8.3942947644385707e+05 -8.3549356207461434e+05 -8.3107564821286849e+05 -8.2612528624627949e+05 -8.2059439967283711e+05 -8.1445259990773536e+05 -8.0764572228402935e+05 -8.0017443482682528e+05 -7.9205603128080815e+05 -7.8335418277823762e+05 -7.7417724788782874e+05 -7.6473150651236740e+05 -7.5533101409597544e+05 -7.4644372209179995e+05 -7.3875030792271451e+05 -7.3321989608463703e+05 -7.3123846298231266e+05 -7.3479654962536122e+05 -7.4681410376360465e+05 -7.7171451180509373e+05 -8.1650478985846648e+05 -8.9292775328425516e+05 2.6804100916735308e+04 +1.0046188766251660e-02 8.2925770348665552e+04 2.5451516035803189e+05 5.4846608553124149e+05 9.2912508952665841e+05 1.2993174326351974e+06 1.5128488051059097e+06 1.5043077173418975e+06 1.3818230211476397e+06 1.2556419545738762e+06 1.1477939536707799e+06 1.0449408336608948e+06 9.4526133044559497e+05 8.5146378388919344e+05 7.6447503155763983e+05 6.8404428669747722e+05 6.1063554658881680e+05 5.4454809478376457e+05 4.8531149175614130e+05 4.3226670291546435e+05 3.8479110053138720e+05 3.4233916882254579e+05 3.0478835989239905e+05 2.7520011745861807e+05 2.5983110430654959e+05 2.4676115967454886e+05 2.2418286274593769e+05 1.9919775114901405e+05 1.7623086211579782e+05 1.5575296065739301e+05 1.3756439624904445e+05 1.2142968504601547e+05 1.0713272106448194e+05 9.4478655175657943e+04 8.3292017899586572e+04 7.3414715353927560e+04 6.4704163193194036e+04 5.7031608448452396e+04 5.0280605141305023e+04 4.4345644036108679e+04 3.9130907011229276e+04 3.4230959319697038e+04 2.9963416261805633e+04 2.6238607692809572e+04 2.2974573998409873e+04 2.0096068319089114e+04 1.7533654801205343e+04 1.5222857890180887e+04 1.3103289902277045e+04 1.1117664449017986e+04 9.2104758889997083e+03 7.3260861300593824e+03 5.4069401808023276e+03 3.3901266532235773e+03 1.2006299784114215e+03 -1.2546230251263096e+03 -4.0981350719527427e+03 -7.4989352771052781e+03 -1.1699434208176304e+04 -1.7059308967712372e+04 -2.4126514467642628e+04 -3.3753204912014749e+04 -4.7263249822045305e+04 -6.6651405737094567e+04 -9.4694277213632464e+04 -1.3474185372967558e+05 -1.8993226205120215e+05 -2.6184519057695873e+05 -3.4911128536005219e+05 -4.4678664519334119e+05 -5.4711318865865387e+05 -6.4145012539918825e+05 -7.2251812538358511e+05 -7.8602328662556340e+05 -8.3119993086361163e+05 -8.6008268649105274e+05 -8.7638703839296033e+05 -8.8418350090898771e+05 -8.8697127261966513e+05 -8.8721731388687552e+05 -8.8666564003500086e+05 -8.8583694963333698e+05 -8.8487343583706277e+05 -8.8381792619098024e+05 -8.8271408209647180e+05 -8.8154847607291373e+05 -8.8032263087817980e+05 -8.7898743074667826e+05 -8.7755828567573382e+05 -8.7600890280576539e+05 -8.7431870959660236e+05 -8.7246271032163454e+05 -8.7041275835552753e+05 -8.6813658146852988e+05 -8.6559860444177955e+05 -8.6275991123561026e+05 -8.5957696171979397e+05 -8.5600354826595471e+05 -8.5198992105908971e+05 -8.4748477760644397e+05 -8.4243667311120708e+05 -8.3679658117116441e+05 -8.3053351658675657e+05 -8.2359224052933301e+05 -8.1597343632260407e+05 -8.0769473898894771e+05 -7.9882107694942167e+05 -7.8946294829350291e+05 -7.7983070571046730e+05 -7.7024460489612853e+05 -7.6118183984438842e+05 -7.5333652324486768e+05 -7.4769691636313556e+05 -7.4567636013198737e+05 -7.4930469904740958e+05 -7.6155953297608369e+05 -7.8695158497000567e+05 -8.3262621795830375e+05 -9.1055810583344556e+05 2.7134682890977165e+04 +1.0108105820657387e-02 8.2650492019578669e+04 2.5404903813584201e+05 5.4767427312469925e+05 9.2791460859974893e+05 1.2977090643502846e+06 1.5110304285194336e+06 1.5025332742192154e+06 1.3802170981187522e+06 1.2542059956054077e+06 1.1465064277701522e+06 1.0437937226285766e+06 9.4424766783708392e+05 8.5057349477165507e+05 7.6369700330864219e+05 6.8336757293000515e+05 6.1004901981424133e+05 5.4404085828572162e+05 4.8487356485655718e+05 4.3188913469360239e+05 3.8446589447839727e+05 3.4205918899606151e+05 3.0454722734313592e+05 2.7499231281623634e+05 2.5965383384449076e+05 2.4661492617146898e+05 2.2406573128584246e+05 1.9910510592355416e+05 1.7615806426284998e+05 1.5569593089964127e+05 1.3751957928566961e+05 1.2139398950138378e+05 1.0710346783837202e+05 9.4453530760691894e+04 8.3269031410796437e+04 7.3392158708245435e+04 6.4680573930050319e+04 5.7005734683828370e+04 5.0251372215617179e+04 4.4312122373733720e+04 3.9092280697186652e+04 3.4186032269412673e+04 2.9911402735392319e+04 2.6178739892316891e+04 2.2906055860023400e+04 2.0018025431446651e+04 1.7445078878311855e+04 1.5122543909530721e+04 1.2989763496358551e+04 1.0989096148400014e+04 9.0645778625459807e+03 7.1599785305269115e+03 5.2169885841362557e+03 3.1717185724716796e+03 9.4783100116534627e+02 -1.5495370531775429e+03 -4.4453965892200777e+03 -7.9123656686191925e+03 -1.2198121137764676e+04 -1.7670240472062957e+04 -2.4888748354320778e+04 -3.4724428987604239e+04 -4.8529556563047037e+04 -6.8340236087529993e+04 -9.6987669504184276e+04 -1.3788275501426775e+05 -1.9421348858595261e+05 -2.6757368838731601e+05 -3.5655141618128656e+05 -4.5609890243315767e+05 -5.5831184922841052e+05 -6.5439622049227066e+05 -7.3694936786242109e+05 -8.0160888735377474e+05 -8.4760226669497520e+05 -8.7700494531890191e+05 -8.9360142181847105e+05 -9.0153635674229148e+05 -9.0437225527426461e+05 -9.0462058568990999e+05 -9.0405741165690171e+05 -9.0321219601839059e+05 -9.0222968724539760e+05 -9.0115344433690165e+05 -9.0002794074409688e+05 -8.9883946929806576e+05 -8.9758958144339686e+05 -8.9622819192274124e+05 -8.9477101492282376e+05 -8.9319124162978656e+05 -8.9146789610529854e+05 -8.8957549239953444e+05 -8.8748533170187811e+05 -8.8516450810303155e+05 -8.8257675207417773e+05 -8.7968237942828669e+05 -8.7643699818233028e+05 -8.7279349418271089e+05 -8.6870114194131410e+05 -8.6410763274478808e+05 -8.5896051263958868e+05 -8.5320979295408539e+05 -8.4682388408223132e+05 -8.3974645907235134e+05 -8.3197821673600201e+05 -8.2353713781412784e+05 -8.1448942439615144e+05 -8.0494774195941293e+05 -7.9512656902390358e+05 -7.8535244230220828e+05 -7.7611191868740111e+05 -7.6811272115692555e+05 -7.6236249698847777e+05 -7.6030230806088133e+05 -7.6400181427018112e+05 -7.7649701850218000e+05 -8.0238711798675533e+05 -8.4895762436530017e+05 -9.2841808982833161e+05 2.7469336792391296e+04 +1.0170404484618287e-02 8.2373239157876393e+04 2.5358115530889248e+05 5.4688107314633240e+05 9.2670315508782421e+05 1.2960999704906323e+06 1.5092111390405763e+06 1.5007573479356742e+06 1.3786090069912577e+06 1.2527672279106914e+06 1.1452155070100119e+06 1.0426426825043970e+06 9.4322960569650109e+05 8.4967840416206955e+05 7.6291383976241143e+05 6.8268545887498162e+05 6.0945689033399953e+05 5.4352787078858248e+05 4.8442978482052142e+05 4.3150565152276860e+05 3.8413474671695358e+05 3.4177327055367967e+05 3.0430017953100684e+05 2.7477857887103950e+05 2.5947045318636359e+05 2.4646236540708656e+05 2.2394222611486129e+05 1.9900614236570784e+05 1.7607903920947557e+05 1.5563278496569462e+05 1.3746877162789943e+05 1.2135243917481267e+05 1.0706850260590517e+05 9.4422840767136368e+04 8.3240626519574202e+04 7.3364328955554651e+04 6.4651852585749890e+04 5.6974863418910922e+04 5.0217267931340852e+04 4.4273845213003464e+04 3.9049002741732365e+04 3.4136549925235711e+04 2.9854912544645478e+04 2.6114454360452059e+04 2.2833157152813743e+04 1.9935615078668965e+04 1.7352121867466711e+04 1.5017805216130861e+04 1.2871734555603418e+04 1.0855907760993014e+04 8.9138950935738812e+03 6.9888644940469412e+03 5.0217386899365183e+03 2.9476328156444683e+03 6.8886403031501322e+02 -1.8512517538519589e+03 -4.8002774175689756e+03 -8.3344817493449591e+03 -1.2706897970157966e+04 -1.8293138203764920e+04 -2.5665499712731951e+04 -3.5713702333978828e+04 -4.9818870305671728e+04 -7.0059056788685164e+04 -9.9320758466406100e+04 -1.4107640595751823e+05 -1.9856414626821782e+05 -2.7339161557352520e+05 -3.6410330339330656e+05 -4.6554605698163621e+05 -5.6966765929867350e+05 -6.6751931050769472e+05 -7.5157399049346673e+05 -8.1740033962919551e+05 -8.6421914727701608e+05 -8.9414721722300234e+05 -9.1103885059729591e+05 -9.1911365955688641e+05 -9.2199813097117189e+05 -9.2224871211118542e+05 -9.2167387112629670e+05 -9.2081190951109852e+05 -9.1981015779945685e+05 -9.1871291298220365e+05 -9.1756546986375446e+05 -9.1635383756061550e+05 -9.1507959642430511e+05 -9.1369167918265413e+05 -9.1220610812169092e+05 -9.1059555180269957e+05 -9.0883862568078609e+05 -9.0690934725081478e+05 -9.0477845838009194e+05 -9.0241241129926790e+05 -8.9977423317903210e+05 -8.9682346179064200e+05 -8.9351484228353563e+05 -8.8980034226573852e+05 -8.8562824796882737e+05 -8.8094523146641569e+05 -8.7569781660639297e+05 -8.6983504002285295e+05 -8.6332469987315056e+05 -8.5610936705540516e+05 -8.4818975605826010e+05 -8.3958419780636881e+05 -8.3036018451004429e+05 -8.2063257703769254e+05 -8.1062003303790907e+05 -8.0065545138462540e+05 -7.9123487280596828e+05 -7.8307980642231565e+05 -7.7721753595046629e+05 -7.7511720233254938e+05 -7.7888879521633103e+05 -7.9162747498216468e+05 -8.1802205599015823e+05 -8.6550000906800164e+05 -9.4650879884292593e+05 2.7808112679478731e+04 +1.0233087110084950e-02 8.2093984469947682e+04 2.5311148840759057e+05 5.4608645423738041e+05 9.2549070364529931e+05 1.2944901185502452e+06 1.5073909233972596e+06 1.4989799115960409e+06 1.3769987414355138e+06 1.2513256578769090e+06 1.1439212056738595e+06 1.0414877315043595e+06 9.4220716681088472e+05 8.4877853846489138e+05 7.6212556999630912e+05 6.8199797536153777e+05 6.0885919006848335e+05 5.4300916446108650e+05 4.8398018362118199e+05 4.3111628470809152e+05 3.8379768746038817e+05 3.4148144228979986e+05 3.0404724362082605e+05 2.7455894171295408e+05 2.5928098955956870e+05 2.4630350599982450e+05 2.2381237478926804e+05 1.9890088560109073e+05 1.7599380921148334e+05 1.5556354201915598e+05 1.3741198919770404e+05 1.2130504664872392e+05 1.0702783455439298e+05 9.4386590968003555e+04 8.3206805594826903e+04 7.3331225094125664e+04 6.4617994838197679e+04 5.6938987073345139e+04 5.0178281517146344e+04 4.4230798659097672e+04 3.9001056188725030e+04 3.4082492099002819e+04 2.9793922309856054e+04 2.6045724541175019e+04 2.2755848128658254e+04 1.9848804269170039e+04 1.7254747442517961e+04 1.4908602014949307e+04 1.2749159634302236e+04 1.0718051953630726e+04 8.7583760549571725e+03 6.8126878948141548e+03 4.8211292260179025e+03 2.7178022070330221e+03 4.2365492538539036e+02 -2.1598497152583618e+03 -5.1628706585241680e+03 -8.7653900061526674e+03 -1.3225888587289945e+04 -1.8928149083955504e+04 -2.6456946499745180e+04 -3.6721245214548253e+04 -5.1131469010791370e+04 -7.1808223022933060e+04 -1.0169399817415625e+05 -1.4432337862752943e+05 -2.0298493526628328e+05 -2.7929979641633522e+05 -3.7176787681785645e+05 -4.7512911589351186e+05 -5.8118167297973041e+05 -6.8082047150706162e+05 -7.6639307463478879e+05 -8.3339872164526850e+05 -8.8105164496513922e+05 -9.1151056900154008e+05 -9.2870038724782609e+05 -9.3691646879161592e+05 -9.3984995686332020e+05 -9.4010274842947919e+05 -9.3951607248581399e+05 -9.3863714293867804e+05 -9.3761589909865381e+05 -9.3649738244678627e+05 -9.3532771845693479e+05 -9.3409262847487035e+05 -9.3279372197777091e+05 -9.3137893709601078e+05 -9.2986460814330610e+05 -9.2822287435401406e+05 -9.2643193734508217e+05 -9.2446531169131014e+05 -9.2229317277043813e+05 -9.1988132273457653e+05 -9.1719207641435554e+05 -9.1418418360850017e+05 -9.1081151552712102e+05 -9.0702510977026715e+05 -9.0277225162925979e+05 -8.9799858090313920e+05 -8.9264958614643908e+05 -8.8667331680869078e+05 -8.8003695094487863e+05 -8.7268194321641105e+05 -8.6460902397411165e+05 -8.5583687881080422e+05 -8.4643430659295584e+05 -8.3651839170845260e+05 -8.2631202448459528e+05 -8.1615454748442629e+05 -8.0655160677054222e+05 -7.9823867428853479e+05 -7.9226292179525504e+05 -7.9012192909023061e+05 -7.9396653234032856e+05 -8.0695180743464932e+05 -8.3385733417402895e+05 -8.8225436153503519e+05 -9.6483131494574028e+05 2.8151061224328092e+04 +1.0296156063503597e-02 8.1812700863611128e+04 2.5264000818742430e+05 5.4529038632484782e+05 9.2427723222056916e+05 1.2928795060385992e+06 1.5055697586592219e+06 1.4972009736394996e+06 1.3753863033029842e+06 1.2498812942237090e+06 1.1426235353771879e+06 1.0403288871188364e+06 9.4118037302554166e+05 8.4787392302161036e+05 7.6133222199690319e+05 6.8130515213415748e+05 6.0825594991289009e+05 5.4248477042886789e+05 4.8352479220546264e+05 4.3072106455629482e+05 3.8345474594728532e+05 3.4118373206550616e+05 3.0378844588117552e+05 2.7433342656899139e+05 2.5908546934049350e+05 2.4613837573304502e+05 2.2367620407470825e+05 1.9878936002175216e+05 1.7590239585249673e+05 1.5548822061424918e+05 1.3734924737102084e+05 1.2125182402030377e+05 1.0698147244557974e+05 9.4344786767540339e+04 8.3167570690645225e+04 7.3292845857699896e+04 6.4578996147478611e+04 5.6898097891075682e+04 5.0134402063849746e+04 4.4182968712578957e+04 3.8948424006087211e+04 3.4023838552082656e+04 2.9728408620561098e+04 2.5972523861194015e+04 2.2674099029294062e+04 1.9757560001307498e+04 1.7152919259743609e+04 1.4794894477327001e+04 1.2621995227614065e+04 1.0575481298114986e+04 8.5979690776558073e+03 6.6313924070304374e+03 4.6150986511063729e+03 2.4821592219602417e+03 1.5212910589283922e+02 -2.4754140694062385e+03 -5.5332700780235191e+03 -9.2051977339627665e+03 -1.3755217855677864e+04 -1.9575421241580178e+04 -2.7263268167479673e+04 -3.7747279757888726e+04 -5.2467632963095894e+04 -7.3588092816965363e+04 -1.0410784603612262e+05 -1.4762424871863524e+05 -2.0747655925755392e+05 -2.8529905800344289e+05 -3.7954606774287391e+05 -4.8484908581435017e+05 -5.9285494179069600e+05 -6.9430077475660259e+05 -7.8140769486879348e+05 -8.4960510322770197e+05 -8.9810082259111712e+05 -9.2909605717621744e+05 -9.4658708357886598e+05 -9.5494583295809466e+05 -9.5792877908916213e+05 -9.5818373888294294e+05 -9.5758505874018208e+05 -9.5668893809783331e+05 -9.5564795172515966e+05 -9.5450789204434853e+05 -9.5331572453221737e+05 -9.5205687867932115e+05 -9.5073299329858809e+05 -9.4929099928843009e+05 -9.4774754693235899e+05 -9.4607423940885870e+05 -9.4424885923289764e+05 -9.4224441167257493e+05 -9.4003049841453834e+05 -9.3757226327261247e+05 -9.3483129965985217e+05 -9.3176555942335387e+05 -9.2832802871145762e+05 -9.2446880329161638e+05 -9.2013415479770291e+05 -9.1526867763438460e+05 -9.0981681189944386e+05 -9.0372560732126585e+05 -8.9696161394300149e+05 -8.8946515603836009e+05 -8.8123698000591598e+05 -8.7229613061507710e+05 -8.6271272999634931e+05 -8.5260611431872752e+05 -8.4220346038508089e+05 -8.3185063635039120e+05 -8.2206301567233657e+05 -8.1359021062039759e+05 -8.0749953375548590e+05 -8.0531736519342707e+05 -8.0923590676807205e+05 -8.2247091139407654e+05 -8.4989387793116143e+05 -8.9922166086743807e+05 -9.8338670886768075e+05 2.8498233720101300e+04 +1.0359613725905423e-02 8.1529365078910632e+04 2.5216669118225013e+05 5.4449284975025186e+05 9.2306271115995222e+05 1.2912681001145537e+06 1.5037476471213854e+06 1.4954205353192824e+06 1.3737716942092075e+06 1.2484341414861861e+06 1.1413225069812536e+06 1.0391661658478769e+06 9.4014924531312962e+05 8.4696458227892907e+05 7.6053382266821759e+05 6.8060701787450316e+05 6.0764719970771892e+05 5.4195471879181731e+05 4.8306364050162159e+05 4.3032002037858829e+05 3.8310595044540672e+05 3.4088016680884495e+05 3.0352381168499100e+05 2.7410205780073919e+05 2.5888391805244531e+05 2.4596700155077016e+05 2.2353373994099925e+05 1.9867158928080415e+05 1.7580482003739840e+05 1.5540683868822912e+05 1.3728056096718795e+05 1.2119278289046948e+05 1.0692942460316098e+05 9.4297433188411465e+04 8.3122923532506204e+04 7.3249189701198440e+04 6.4534851740781211e+04 5.6852187925054619e+04 5.0085618508982858e+04 4.4130341254055260e+04 3.8891089070407215e+04 3.3960568979827738e+04 2.9658348019969668e+04 2.5894825714787210e+04 2.2587880071552059e+04 1.9661849249274404e+04 1.7046600944359066e+04 1.4676642728281784e+04 1.2490197759628898e+04 1.0428148260143875e+04 8.4326223404192824e+03 6.4449214952074390e+03 4.4035851454598132e+03 2.2406359773530085e+03 -1.2578845852588705e+02 -2.7980285029780566e+03 -5.9115701185468815e+03 -9.6540130496964302e+03 -1.4295011642789670e+04 -2.0235104033014599e+04 -2.8084645687269669e+04 -3.8792029986774083e+04 -5.3827644806778248e+04 -7.5399027084175468e+04 -1.0656276284395940e+05 -1.5097959560563636e+05 -2.1203972548641948e+05 -2.9139023029270465e+05 -3.8743880899279052e+05 -4.9470697305794776e+05 -6.0468851475324458e+05 -7.0796128683754301e+05 -7.9661891912925022e+05 -8.6602054597506218e+05 -9.1536773361318000e+05 -9.4690472815207927e+05 -9.6469998085085780e+05 -9.7320278980719764e+05 -9.7623563293458510e+05 -9.7649271683777147e+05 -9.7588186202167242e+05 -9.7496832592096284e+05 -9.7390734540485742e+05 -9.7274547024793806e+05 -9.7153051527160150e+05 -9.7024761399618862e+05 -9.6889843478269887e+05 -9.6742888860179414e+05 -9.6585594566761027e+05 -9.6415066634070105e+05 -9.6229040875273733e+05 -9.6024766244538443e+05 -9.5799144817563833e+05 -9.5548624312901695e+05 -9.5269291017734201e+05 -9.4956859319419239e+05 -9.4606538208945398e+05 -9.4213241892692994e+05 -9.3771494890073570e+05 -9.3275650784290186e+05 -9.2720047417619918e+05 -9.2099288530595205e+05 -9.1409965532404743e+05 -9.0645996389868471e+05 -8.9807457366738166e+05 -8.8896289309909369e+05 -8.7919638427397679e+05 -8.6889666353354161e+05 -8.5829524819535285e+05 -8.4774461428374948e+05 -8.3776998526553006e+05 -8.2913529204349290e+05 -8.2292824189405935e+05 -8.2070437835312844e+05 -8.2469779043301137e+05 -8.3818567305591912e+05 -8.6613260300246684e+05 -9.1640287595316011e+05 -1.0021760401694361e+06 2.8849682088612026e+04 +1.0423462492996480e-02 8.1243948827390937e+04 2.5169150907321493e+05 5.4369381932860240e+05 9.2184712753611570e+05 1.2896558939451275e+06 1.5019245642052714e+06 1.4936385696639826e+06 1.3721549078922956e+06 1.2469842035391920e+06 1.1400181310137305e+06 1.0379995832565770e+06 9.3911380394592404e+05 8.4605053979541129e+05 7.5973039791463991e+05 6.7990360023963486e+05 6.0703296820192295e+05 5.4141903863670921e+05 4.8259675742530188e+05 4.2991318049336213e+05 3.8275132825794542e+05 3.4057077251722908e+05 3.0325336550817144e+05 2.7386485890439636e+05 2.5867636036300007e+05 2.4578940955583873e+05 2.2338500755738807e+05 1.9854759628582260e+05 1.7570110198486660e+05 1.5531941355183930e+05 1.3720594423970478e+05 1.2112793435363898e+05 1.0687169890201802e+05 9.4244534859191655e+04 8.3072865504394620e+04 7.3200254786758538e+04 6.4485556597821414e+04 5.6801249022354161e+04 5.0031919621484281e+04 4.4072902028542194e+04 3.8829034151040221e+04 3.3892662995940911e+04 2.9583716989608398e+04 2.5812603448602193e+04 2.2497161432555677e+04 1.9561638948768152e+04 1.6935756076902962e+04 1.4553806833563567e+04 1.2353723571343635e+04 1.0276005188058241e+04 8.2622838592583594e+03 6.2532184041963374e+03 4.1865266011927515e+03 1.9931642220510512e+03 -4.1017325827629770e+02 -3.1277772683910107e+03 -6.2978659115689397e+03 -1.0111944906646560e+04 -1.4845396834001987e+04 -2.0907348062249799e+04 -2.8921261573929311e+04 -3.9855721847689565e+04 -5.5211789581216683e+04 -7.7241389666767544e+04 -1.0905921282089698e+05 -1.5439000239683001e+05 -2.1667514482197378e+05 -2.9757414617384976e+05 -3.9544703499709012e+05 -5.0470378369042662e+05 -6.1668343848933571e+05 -7.2180306976058346e+05 -8.1202780883509351e+05 -8.8264610340334056e+05 -9.3285342227433214e+05 -9.6493761838197929e+05 -9.8304010994898377e+05 -9.9168836649851326e+05 -9.9477154301038210e+05 -9.9503070495736692e+05 -9.9440750376088277e+05 -9.9347632664596825e+05 -9.9239509918273345e+05 -9.9121113486075797e+05 -9.8997310719954083e+05 -9.8866584960669966e+05 -9.8729106019737991e+05 -9.8579361726541759e+05 -9.8419081493408070e+05 -9.8245316395019961e+05 -9.8055759276059794e+05 -9.7847606872471247e+05 -9.7617702441064920e+05 -9.7362426203846664e+05 -9.7077790477809659e+05 -9.6759427846160787e+05 -9.6402456553867680e+05 -9.6001694243701780e+05 -9.5551561507731047e+05 -9.5046304748108378e+05 -9.4480154311366321e+05 -9.3847611440765904e+05 -9.3145203151877981e+05 -9.2366731523522234e+05 -9.1512274462018081e+05 -9.0583809639125946e+05 -8.9588618933560734e+05 -8.8539094848549552e+05 -8.7458828595563199e+05 -8.6383736828500696e+05 -8.5367339211457316e+05 -8.4487478608684905e+05 -8.3854990724631492e+05 -8.3628382727762277e+05 -8.4035304622145963e+05 -8.5409696941674280e+05 -8.8257441562682530e+05 -9.3379896562632616e+05 -1.0212003574197395e+06 2.9205458887996716e+04 +1.0487704775248132e-02 8.0956425291422216e+04 2.5121443541467344e+05 5.4289326877721131e+05 9.2063044077397592e+05 1.2880428240109491e+06 1.5001004860114944e+06 1.4918550701792818e+06 1.3705359466979045e+06 1.2455314846385242e+06 1.1387104175958475e+06 1.0368291540875065e+06 9.3807406832988339e+05 8.4513181814046705e+05 7.5892197273523291e+05 6.7919492589991330e+05 6.0641328304529667e+05 5.4087775803875749e+05 4.8212417088394723e+05 4.2950057223033841e+05 3.8239090572736372e+05 3.4025557425803732e+05 3.0297713092927553e+05 2.7362185250844562e+05 2.5846282008301586e+05 2.4560562500521253e+05 2.2323003128830553e+05 1.9841740319387743e+05 1.7559126122008430e+05 1.5522596188186825e+05 1.3712541086680462e+05 1.2105728898683532e+05 1.0680830275596619e+05 9.4186096002031103e+04 8.3017397635126763e+04 7.3146038970072666e+04 6.4431105436853810e+04 5.6745272809524344e+04 4.9973293986671255e+04 4.4010636629974535e+04 3.8762241894844163e+04 3.3820100117070346e+04 2.9504491933924699e+04 2.5725830346622777e+04 2.2401913235041811e+04 1.9456895982723046e+04 1.6820348179514556e+04 1.4426346786718728e+04 1.2212528908344902e+04 1.0119004301349885e+04 8.0869014766892133e+03 6.0562261489791863e+03 3.9638606123816303e+03 1.7396753268153909e+03 -7.0110125424833006e+02 -3.4647451951456874e+03 -6.6922532902907924e+03 -1.0579103109131156e+04 -1.5406501349731227e+04 -2.1592305201382071e+04 -2.9773299910518468e+04 -4.0938583241165150e+04 -5.6620354757578512e+04 -7.9115547379686293e+04 -1.1159766367230045e+05 -1.5785605599027133e+05 -2.2138353181860934e+05 -3.0385164153418329e+05 -4.0357168186426198e+05 -5.1484052361414029e+05 -6.2884075732075598e+05 -7.3582718108257162e+05 -8.2763541902269621e+05 -8.9948282109876571e+05 -9.5055892376433464e+05 -9.8319575453200296e+05 -1.0016084915481535e+06 -1.0104035797727857e+06 -1.0135375234208783e+06 -1.0137987153754820e+06 -1.0131629948614032e+06 -1.0122139499924228e+06 -1.0111122215951947e+06 -1.0099058931885679e+06 -1.0086445063567583e+06 -1.0073125902218507e+06 -1.0059118728572549e+06 -1.0043861870724369e+06 -1.0027531548936500e+06 -1.0009827306346616e+06 -9.9905140772469679e+05 -9.9693062486741971e+05 -9.9458821913815767e+05 -9.9198730942671967e+05 -9.8908726999295480e+05 -9.8584359852194041e+05 -9.8220655872722727e+05 -9.7812334941827727e+05 -9.7353712434875604e+05 -9.6838926243356417e+05 -9.6262097884449956e+05 -9.5617624832851032e+05 -9.4901968909062550e+05 -9.4108814870245603e+05 -9.3238242283680220e+05 -9.2292266102740355e+05 -9.1278305560400931e+05 -9.0208986893172795e+05 -8.9108346244489832e+05 -8.8012977620898513e+05 -8.6977410374337691e+05 -8.6080955133418029e+05 -8.5436538196801511e+05 -8.5205656181892066e+05 -8.5620252812163043e+05 -8.7020566843291337e+05 -8.9922021269850817e+05 -9.5141087883455458e+05 -1.0404606983707601e+06 2.9565617320475088e+04 +1.0552342997988049e-02 8.0666766139365325e+04 2.5073544551694990e+05 5.4209116467801435e+05 9.1941263214915246e+05 1.2864289056266174e+06 1.4982754001953995e+06 1.4900700379480475e+06 1.3689148140415612e+06 1.2440759930886119e+06 1.1373993758715664e+06 1.0356548922537571e+06 9.3703005654238688e+05 8.4420843879948684e+05 7.5810857125188236e+05 6.7848102053532854e+05 6.0578817081755365e+05 5.4033090405201248e+05 4.8164590778107935e+05 4.2908222193193081e+05 3.8202470823961054e+05 3.3993459616949881e+05 3.0269513062911772e+05 2.7337306037317362e+05 2.5824332016298224e+05 2.4541567230848392e+05 2.2306883468935895e+05 1.9828103140609770e+05 1.7547531656881975e+05 1.5512649971315204e+05 1.3703897394226867e+05 1.2098085683993639e+05 1.0673924310730895e+05 9.4122120420764462e+04 8.2956520586057333e+04 7.3086539786866124e+04 6.4371492700163333e+04 5.6684250677594049e+04 4.9909729991075801e+04 4.3943530486300318e+04 3.8690694810823901e+04 3.3742859747358430e+04 2.9420649165076527e+04 2.5634479615007218e+04 2.2302105532545258e+04 1.9347587167067573e+04 1.6700340702233072e+04 1.4294222495928407e+04 1.2066569908488551e+04 9.9570976789937558e+03 7.9064228506991622e+03 5.8538875042002146e+03 3.7355244648541966e+03 1.4801002740808572e+03 -9.9864888853596915e+02 -3.8090177014649707e+03 -7.0948288026762993e+03 -1.1055598327449827e+04 -1.5978454163014227e+04 -2.2290128611490101e+04 -3.0640946373668434e+04 -4.2040844052453554e+04 -5.8053630276036856e+04 -8.1021870054521380e+04 -1.1417858663594541e+05 -1.6137834712980286e+05 -2.2616560477620890e+05 -3.1022355532574438e+05 -4.1181368745640642e+05 -5.2511819865465141e+05 -6.4116151337370835e+05 -7.5003467403214984e+05 -8.4344279848990345e+05 -9.1653173686960700e+05 -9.6848526438254840e+05 -1.0016801536597693e+06 -1.0204061362998318e+06 -1.0293494361350106e+06 -1.0325345779473856e+06 -1.0327977498804354e+06 -1.0321493358805036e+06 -1.0311821953407235e+06 -1.0300597108497625e+06 -1.0288307422223459e+06 -1.0275457084811754e+06 -1.0261888302637693e+06 -1.0247618657985220e+06 -1.0232075895530006e+06 -1.0215439554662989e+06 -1.0197403545659081e+06 -1.0177728399113559e+06 -1.0156123150438699e+06 -1.0132260142163732e+06 -1.0105763645857305e+06 -1.0076219822510418e+06 -1.0043175266021264e+06 -1.0006123312911853e+06 -9.9645260547396506e+05 -9.9178043779170618e+05 -9.8653610869531613e+05 -9.8065973166894331e+05 -9.7409423100772640e+05 -9.6680356491433678e+05 -9.5872339334086888e+05 -9.4985452876384079e+05 -9.4021749811650498e+05 -9.2988788417821948e+05 -9.1899431541432650e+05 -9.0778165733978152e+05 -8.9662270691868162e+05 -8.8607297879102279e+05 -8.7694043757471361e+05 -8.7037550948743429e+05 -8.6802342312779184e+05 -8.7224708137647680e+05 -8.8651262916992209e+05 -9.1607088192457741e+05 -9.6923955480496609e+05 -1.0599580901492995e+06 2.9930211240206641e+04 +1.0617379601491776e-02 8.0374946161804270e+04 2.5025450881423944e+05 5.4128747991169465e+05 9.1819367086960434e+05 1.2848141160151733e+06 1.4964492993192133e+06 1.4882834540185276e+06 1.3672915029538306e+06 1.2426177299227447e+06 1.1360850137871597e+06 1.0344768113900208e+06 9.3598178529931477e+05 8.4328042213245609e+05 7.5729021662652376e+05 6.7776190881690593e+05 6.0515765706828178e+05 5.3977850269861217e+05 4.8116199401631457e+05 4.2865815495455125e+05 3.8165276022602670e+05 3.3960786145958235e+05 3.0240738639012037e+05 2.7311850338876806e+05 2.5801788269228736e+05 2.4521957502393724e+05 2.2290144050271198e+05 1.9813850156087871e+05 1.7535328615011959e+05 1.5502104243045376e+05 1.3694664596708104e+05 1.2089864742536450e+05 1.0666452641548314e+05 9.4052611488750903e+04 8.2890234638016336e+04 7.3021754439366894e+04 6.4306712540376204e+04 5.6618173768226363e+04 4.9841215808012254e+04 4.3871568844229841e+04 3.8614375254848070e+04 3.3660921163232561e+04 2.9332164887673218e+04 2.5538524367149203e+04 2.2197708294724587e+04 1.9233679236289270e+04 1.6575697009093423e+04 1.4157393770788214e+04 1.1915802589241468e+04 9.7902372476021137e+03 7.7207954435892625e+03 5.6461449934519305e+03 3.5014551257500098e+03 1.2143696474375963e+03 -1.3028930954384293e+03 -4.1606808062217951e+03 -7.5056897247959341e+03 -1.1541542113219901e+04 -1.6561385317478176e+04 -2.3000972764123591e+04 -3.1524388259392519e+04 -4.3162736182815104e+04 -5.9511908583744538e+04 -8.2960730584709774e+04 -1.1680245653427947e+05 -1.6495747046251575e+05 -2.3102208580377573e+05 -3.1669072963180178e+05 -4.2017399146592442e+05 -5.3553781465035409e+05 -6.5364674668533297e+05 -7.6442659763264167e+05 -8.5945098993486969e+05 -9.3379388090828597e+05 -9.8663346171228006e+05 -1.0203918233874710e+06 -1.0394340450043135e+06 -1.0485269320367066e+06 -1.0517637002326692e+06 -1.0520288000985009e+06 -1.0513675172158794e+06 -1.0503820519168084e+06 -1.0492385550105800e+06 -1.0479866688201934e+06 -1.0466776991919095e+06 -1.0452955540493055e+06 -1.0438420219690843e+06 -1.0422588061631144e+06 -1.0405641965111496e+06 -1.0387270138741137e+06 -1.0367228655628222e+06 -1.0345221134241779e+06 -1.0320913815270338e+06 -1.0293923968534791e+06 -1.0263830080563503e+06 -1.0230170260364081e+06 -1.0192428430102851e+06 -1.0150056663966510e+06 -1.0102465067156991e+06 -1.0049045325461702e+06 -9.9891874222947005e+05 -9.9223099679125496e+05 -9.8480458633936662e+05 -9.7657396875236207e+05 -9.6753997349516500e+05 -9.5772350950803771e+05 -9.4720156699935556e+05 -9.3610516942579078e+05 -9.2468374137732829e+05 -9.1331702044808387e+05 -9.0257086717284191e+05 -8.9326828596304485e+05 -8.8658112466080766e+05 -8.8418524380463012e+05 -8.8848754263769742e+05 -9.0301870196342550e+05 -9.3312730199229694e+05 -9.8728592322037462e+05 -1.0796935494415085e+06 3.0299295161246588e+04 +1.0682817041074856e-02 8.0080934348142968e+04 2.4977159842102087e+05 5.4048219939261151e+05 9.1697353620243713e+05 1.2831984239443599e+06 1.4946221603467346e+06 1.4864953131460950e+06 1.3656660024114533e+06 1.2411566940038423e+06 1.1347673382411222e+06 1.0332949245528444e+06 9.3492927038334205e+05 8.4234778739745019e+05 7.5646693092269101e+05 6.7703761439262237e+05 6.0452176635268948e+05 5.3922057896344282e+05 4.8067245448751422e+05 4.2822839566873002e+05 3.8127508516367542e+05 3.3927539240716689e+05 3.0211391909584898e+05 2.7285820157473208e+05 2.5778652889616249e+05 2.4501735585632897e+05 2.2272787065334030e+05 1.9798983353060321e+05 1.7522518737014662e+05 1.5490960476106679e+05 1.3684843883977924e+05 1.2081066970849017e+05 1.0658415864630445e+05 9.3977572137730051e+04 8.2818539679315145e+04 7.2951679783502987e+04 6.4236758806836609e+04 5.6547032959122378e+04 4.9767739382787222e+04 4.3794736754560086e+04 3.8533265414731468e+04 3.3574263498417255e+04 2.9239015183676089e+04 2.5437937608661683e+04 2.2088691392578730e+04 1.9115138829180883e+04 1.6446380364286062e+04 1.4015820308960285e+04 1.1760182835078100e+04 9.6183747693394744e+03 7.5299665104751930e+03 5.4329408783386543e+03 3.2615892328070772e+03 9.4241362083777278e+02 -1.6139113127309547e+03 -4.5198211411575776e+03 -7.9249340744837527e+03 -1.2037046915010456e+04 -1.7155425945532512e+04 -2.3724993462904451e+04 -3.2423814509172742e+04 -4.4304493581413917e+04 -6.0995484673304243e+04 -8.4932504971332150e+04 -1.1946975182674274e+05 -1.6859402459757731e+05 -2.3595370088182887e+05 -3.2325400973713462e+05 -4.2865353549332789e+05 -5.4610037754491437e+05 -6.6629749531132774e+05 -7.7900399682890461e+05 -8.7566103010644799e+05 -9.5127027594992507e+05 -1.0050045247886508e+06 -1.0393317620852138e+06 -1.0586932088048030e+06 -1.0679370540636352e+06 -1.0712258739696692e+06 -1.0714928476841871e+06 -1.0708185192926866e+06 -1.0698144989856265e+06 -1.0686497321877251e+06 -1.0673746498990422e+06 -1.0660414541782178e+06 -1.0646337359752918e+06 -1.0631533144103296e+06 -1.0615408084700787e+06 -1.0598148480159338e+06 -1.0579436768318266e+06 -1.0559024510851006e+06 -1.0536609843633587e+06 -1.0511852831585642e+06 -1.0484363658039195e+06 -1.0453713041765901e+06 -1.0419430504549816e+06 -1.0380990439967753e+06 -1.0337834783456512e+06 -1.0289362728449490e+06 -1.0234954707305046e+06 -1.0173989416918274e+06 -1.0105874706084201e+06 -1.0030236713732621e+06 -9.9464078527177358e+05 -9.8543965894490737e+05 -9.7544158796541719e+05 -9.6472498702269502e+05 -9.5342330357796710e+05 -9.4179057652215834e+05 -9.3021356816613860e+05 -9.1926861023905606e+05 -9.0979392917819531e+05 -9.0298305393415503e+05 -9.0054284806316951e+05 -9.0492474012912589e+05 -9.1972472858157696e+05 -9.5039034273550322e+05 -1.0055509043980903e+06 -1.0996680826893754e+06 3.0672924265588659e+04 +1.0748657787185527e-02 7.9784704866080370e+04 2.4928668656604717e+05 5.3967527690098621e+05 9.1575220467265486e+05 1.2815817895940747e+06 1.4927939570772315e+06 1.4847056088010787e+06 1.3640383063143964e+06 1.2396928845246201e+06 1.1334463557205664e+06 1.0321092427984569e+06 9.3387252687662269e+05 8.4141055284318677e+05 7.5563873502383090e+05 6.7630815990428370e+05 6.0388052224007936e+05 5.3865715679172438e+05 4.8017731308868976e+05 4.2779296745768655e+05 3.8089170557286788e+05 3.3893721035921347e+05 3.0181474873118073e+05 2.7259217407770862e+05 2.5754927913467531e+05 2.4480903665355366e+05 2.2254814624459230e+05 1.9783504641480304e+05 1.7509103691562518e+05 1.5479220076734578e+05 1.3674436384853849e+05 1.2071693209805715e+05 1.0649814526158219e+05 9.3897004845706993e+04 8.2741435193027355e+04 7.2876312315620948e+04 6.4161625031889060e+04 5.6470818850217707e+04 4.9689288418272037e+04 4.3713019057290119e+04 3.8447347295325642e+04 3.3482865728615456e+04 2.9141175997452279e+04 2.5332692222517155e+04 2.1975024583752092e+04 1.8991932474325491e+04 1.6312353918118566e+04 1.3869461682733854e+04 1.1599666384504686e+04 9.4414618296913177e+03 7.3338830876960601e+03 5.2142171472569707e+03 3.0158630834101059e+03 6.6416194754287437e+02 -1.9317814932172912e+03 -4.8865259633597716e+03 -8.3526606252740239e+03 -1.2542226094288329e+04 -1.7760708287132071e+04 -2.4462347865823434e+04 -3.3339415736908137e+04 -4.5466352277816914e+04 -6.2504656122260087e+04 -8.6937572369887173e+04 -1.2218095466377908e+05 -1.7228861216559852e+05 -2.4096117992795954e+05 -3.2991424419986358e+05 -4.3725326312860398e+05 -5.5680689347994421e+05 -6.7911479543836508e+05 -7.9376791262331943e+05 -8.9207394995312556e+05 -9.6896193744156812e+05 -1.0235994542862535e+06 -1.0585009590595446e+06 -1.0781846093733930e+06 -1.0875807791300984e+06 -1.0909220730979694e+06 -1.0911908645110393e+06 -1.0905033127568222e+06 -1.0894805060360974e+06 -1.0882942107303769e+06 -1.0869956526241864e+06 -1.0856379393898891e+06 -1.0842043407174766e+06 -1.0826967064545746e+06 -1.0810545583432300e+06 -1.0792968702877443e+06 -1.0773913020518052e+06 -1.0753125532392524e+06 -1.0730298825919272e+06 -1.0705086715981422e+06 -1.0677092214337727e+06 -1.0645878178290823e+06 -1.0610965439688624e+06 -1.0571818748796266e+06 -1.0527869780412565e+06 -1.0478506685065737e+06 -1.0423098506449925e+06 -1.0361012519272345e+06 -1.0291645681614260e+06 -1.0214617288620999e+06 -1.0129247441489722e+06 -1.0035544780249575e+06 -9.9337261734146473e+05 -9.8245901838917076e+05 -9.7094958177108120e+05 -9.5910301613584894e+05 -9.4731319294364809e+05 -9.3616704094271199e+05 -9.2651819158889807e+05 -9.1958211550470244e+05 -9.1709705188785435e+05 -9.2155949380623968e+05 -9.3663154239105282e+05 -9.6786086530653632e+05 -1.0240354094694363e+06 -1.1198826862936595e+06 3.1051154411315241e+04 +1.0814904325497988e-02 7.9486227290723342e+04 2.4879974320255706e+05 5.3886670362532744e+05 9.1452963494189503e+05 1.2799642016735920e+06 1.4909646661085486e+06 1.4829143158597206e+06 1.3624084135800542e+06 1.2382263030788691e+06 1.1321220711070374e+06 1.0309197751169497e+06 9.3281156913129007e+05 8.4046873582255864e+05 7.5480564867731067e+05 6.7557356700489437e+05 6.0323394730486418e+05 5.3808825910381263e+05 4.7967659270985774e+05 4.2735189271802932e+05 3.8050264301644167e+05 3.3859333573122084e+05 3.0150989438202418e+05 2.7232043917134975e+05 2.5730615290049973e+05 2.4459463840462765e+05 2.2236228755461288e+05 1.9767415853583344e+05 1.7495085074791405e+05 1.5466884383910923e+05 1.3663443166253655e+05 1.2061744243668774e+05 1.0640649120862118e+05 9.3810911626367990e+04 8.2658920245459594e+04 7.2795648160139011e+04 6.4081304417711232e+04 5.6389521749805295e+04 4.9605850360850469e+04 4.3626400367337061e+04 3.8356602703572178e+04 3.3386706656993425e+04 2.9038623120802044e+04 2.5222760954094403e+04 2.1856677497951896e+04 1.8864026575813521e+04 1.6173580693069000e+04 1.3718277325482919e+04 1.1434208817151934e+04 9.2594498250931556e+03 7.1324919809026378e+03 4.9899155039973002e+03 2.7642126233824974e+03 3.7954394881276869e+02 -2.2565821165407447e+03 -5.2608831680484436e+03 -8.7889689206267449e+03 -1.3057193941734831e+04 -1.8377365708694109e+04 -2.5213194507737931e+04 -3.4271384255909747e+04 -4.6648550414973586e+04 -6.4039723132522093e+04 -8.8976315137081008e+04 -1.2493655094120566e+05 -1.7604183987940027e+05 -2.4604525686297263e+05 -3.3667228492298926e+05 -4.4597412003301136e+05 -5.6765836889356235e+05 -6.9209968150115036e+05 -8.0871938220599724e+05 -9.0869077477693430e+05 -9.8686987371177715e+05 -1.0424192426912326e+06 -1.0779003947386732e+06 -1.0979092191070558e+06 -1.1074590746749116e+06 -1.1108532619974576e+06 -1.1111238128747884e+06 -1.1104228586757688e+06 -1.1093810329870589e+06 -1.1081729494231015e+06 -1.1068506346099451e+06 -1.1054681112380661e+06 -1.1040083234203192e+06 -1.1024731519167216e+06 -1.1008010081526604e+06 -1.0990112141455170e+06 -1.0970708386755246e+06 -1.0949541193368598e+06 -1.0926297534089594e+06 -1.0900624899256257e+06 -1.0872119043556650e+06 -1.0840334868771452e+06 -1.0804784413645421e+06 -1.0764922669967441e+06 -1.0720170929478537e+06 -1.0669906168170352e+06 -1.0613485905249992e+06 -1.0550265857019972e+06 -1.0479631961033284e+06 -1.0401196586751380e+06 -1.0314267377307859e+06 -1.0218853148278936e+06 -1.0115174727588570e+06 -1.0004045266090352e+06 -9.8868485937521688e+05 -9.7662190514983330e+05 -9.6461672932733234e+05 -9.5326698401085206e+05 -9.4344188941982889e+05 -9.3637911948824814e+05 -9.3384866320531152e+05 -9.3839261552751146e+05 -9.5373996852629120e+05 -9.8553972235044045e+05 -1.0427403405638111e+06 -1.1403383468073672e+06 3.1434042140838257e+04 +1.0881559157006239e-02 7.9185473773933671e+04 2.4831074015251335e+05 5.3805643346083944e+05 9.1330580962421314e+05 1.2783456470722458e+06 1.4891342729933821e+06 1.4811214193165074e+06 1.3607763210202793e+06 1.2367569492745029e+06 1.1307944893144791e+06 1.0297265302098413e+06 9.3174641071088251e+05 8.3952235288148047e+05 7.5396769061006687e+05 6.7483385633590433e+05 6.0258206310444325e+05 5.3751390780884156e+05 4.7917031523714901e+05 4.2690519286019995e+05 3.8010791809940879e+05 3.3824378800687491e+05 3.0119937423451571e+05 2.7204301425444923e+05 2.5705716881682689e+05 2.4437418123613659e+05 2.2217031403239918e+05 1.9750718743395698e+05 1.7480464409710161e+05 1.5453954668680893e+05 1.3651865232362240e+05 1.2051220799157453e+05 1.0630920091014457e+05 9.3719294017730237e+04 8.2570993473995826e+04 7.2709683056909213e+04 6.3995789823130079e+04 5.6303131660932333e+04 4.9517412386325617e+04 4.3534865059875381e+04 3.8261013234278347e+04 3.3285764899061520e+04 2.8931332178102632e+04 2.5108116396511155e+04 2.1733619622095022e+04 1.8731387398728857e+04 1.6030023569709561e+04 1.3562226517998402e+04 1.1263765540630620e+04 9.0722899502941546e+03 6.9257397530566595e+03 4.7599773561051497e+03 2.5065734355314344e+03 8.8488502331626904e+01 -2.5883922012711359e+03 -5.6429813016403832e+03 -9.2339592885041166e+03 -1.3582065693777322e+04 -1.9005532722517844e+04 -2.5977693323434367e+04 -3.5219914106693890e+04 -4.7851328282705595e+04 -6.5600988571362570e+04 -9.1049118879396046e+04 -1.2773703035514979e+05 -1.7985431859534251e+05 -2.5120666967838680e+05 -3.4352898722961103e+05 -4.5481705402316106e+05 -5.7865581061741756e+05 -7.0525318629697082e+05 -8.2385943909566978e+05 -9.2551252439050109e+05 -1.0049950861441472e+06 -1.0614648744935161e+06 -1.0975310408701550e+06 -1.1178680013263689e+06 -1.1275728988609237e+06 -1.1310203956912109e+06 -1.1312926456897263e+06 -1.1305781087363306e+06 -1.1295170303846945e+06 -1.1282868976872810e+06 -1.1269405441169764e+06 -1.1255329167905285e+06 -1.1240466299014252e+06 -1.1224835952985086e+06 -1.1207811009652575e+06 -1.1189588211254831e+06 -1.1169832265757744e+06 -1.1148280874363473e+06 -1.1124615328834320e+06 -1.1098476720081919e+06 -1.1069453459965049e+06 -1.1037092400224367e+06 -1.1000896682993891e+06 -1.0960311425880271e+06 -1.0914747414749959e+06 -1.0863570318779575e+06 -1.0806125996386032e+06 -1.0741758468682799e+06 -1.0669842522356347e+06 -1.0589983518908229e+06 -1.0501476496509069e+06 -1.0404330448126696e+06 -1.0298770207934864e+06 -1.0185623687364773e+06 -1.0066299834041919e+06 -9.9434808024642558e+05 -9.8212500371288008e+05 -9.7056925611367251e+05 -9.6056583092633612e+05 -9.5337486808798695e+05 -9.5079848205245589e+05 -9.5542490922212403e+05 -9.7105082406548061e+05 -1.0034277581874420e+06 -1.0616665910039898e+06 -1.1610360411538207e+06 3.1821644689245739e+04 +1.0948624798118502e-02 7.8882414166024901e+04 2.4781964948596183e+05 5.3724444364324317e+05 9.1208069241255964e+05 1.2767260839453500e+06 1.4873027805421099e+06 1.4793269170432908e+06 1.3591420215219015e+06 1.2352848215770193e+06 1.1294636147585553e+06 1.0285295166888615e+06 9.3067706428513455e+05 8.3857141972909309e+05 7.5312487863102660e+05 6.7408904747503588e+05 6.0192489016628009e+05 5.3693412382246868e+05 4.7865850155578350e+05 4.2645288831130008e+05 3.7970755046828254e+05 3.3788858573696634e+05 3.0088320557563682e+05 2.7175991585085908e+05 2.5680234463618629e+05 2.4414768441031402e+05 2.2197224429446473e+05 1.9733414986238437e+05 1.7465243145516081e+05 1.5440432133435883e+05 1.3639703523837056e+05 1.2040123544538788e+05 1.0620627825398181e+05 9.3622153071232518e+04 8.2477653075517592e+04 7.2618412348628364e+04 6.3905073750700270e+04 5.6211638267946357e+04 4.9423961385878327e+04 4.3438397256288707e+04 3.8160560255179749e+04 3.3180018868230123e+04 2.8819278611594531e+04 2.4988730975723742e+04 2.1605820285922477e+04 1.8593981054824115e+04 1.5881645272506516e+04 1.3401268374817020e+04 1.1088291777269707e+04 8.8799331856849603e+03 6.7135727121522750e+03 4.5243438029878207e+03 2.2428807279539583e+03 -2.0907596961649708e+02 -2.9272913172593157e+03 -6.0329095750650340e+03 -9.6877328561596878e+03 -1.4116957549593897e+04 -1.9645345006467749e+04 -2.6756005670903043e+04 -3.6185201085021603e+04 -4.9074928351867311e+04 -6.7188758012487131e+04 -9.3156372502061349e+04 -1.3058288645890796e+05 -1.8372666337647056e+05 -2.5644616050416025e+05 -3.5048520993652905e+05 -4.6378301515677286e+05 -5.8980022597764200e+05 -7.1857634110380185e+05 -8.3918911327636661e+05 -9.4254021327872190e+05 -1.0233385693525306e+06 -1.0807373263738244e+06 -1.1173938607167318e+06 -1.1380619104772992e+06 -1.1479232007829470e+06 -1.1514244200520923e+06 -1.1516983066961374e+06 -1.1509700054535819e+06 -1.1498894396046577e+06 -1.1486369957863886e+06 -1.1472663202593923e+06 -1.1458332939823053e+06 -1.1443201968538808e+06 -1.1427289719896663e+06 -1.1409957707540786e+06 -1.1391406236801697e+06 -1.1371293965589064e+06 -1.1349353865496910e+06 -1.1325261480531387e+06 -1.1298651427070794e+06 -1.1269104687983328e+06 -1.1236159970113717e+06 -1.1199311415021019e+06 -1.1157994150011973e+06 -1.1111608331692768e+06 -1.1059508189737166e+06 -1.1001027784833780e+06 -1.0935499305580875e+06 -1.0862286256993397e+06 -1.0780986909943363e+06 -1.0690883550170735e+06 -1.0591985349915074e+06 -1.0484521196621648e+06 -1.0369333935595830e+06 -1.0247857927038094e+06 -1.0122823700329346e+06 -9.9983883452411415e+05 -9.8807466604573256e+05 -9.7789081656588742e+05 -9.7057015576945723e+05 -9.6794730074774870e+05 -9.7265717106308520e+05 -9.8856491820251720e+05 -1.0215258089916403e+06 -1.0808150454920111e+06 -1.1819767368280038e+06 3.2214019992746071e+04 +1.1016103780752224e-02 7.8577018811069313e+04 2.4732643983026905e+05 5.3643071105879510e+05 9.1085427714675770e+05 1.2751054795063201e+06 1.4854701419903701e+06 1.4775308008993184e+06 1.3575055053143573e+06 1.2338099205792749e+06 1.1281294506059594e+06 1.0273287422310191e+06 9.2960354141651338e+05 8.3761595103320770e+05 7.5227722966509312e+05 6.7333915890452836e+05 6.0126244798833004e+05 5.3634892707757629e+05 4.7814117155433825e+05 4.2599499851847906e+05 3.7930155881325295e+05 3.3752774654203438e+05 3.0056140479241993e+05 2.7147115960725083e+05 2.5654169723845465e+05 2.4391516632152570e+05 2.2176809612056188e+05 1.9715506178200548e+05 1.7449422657133982e+05 1.5426317911215610e+05 1.3626958917013998e+05 1.2028453088760705e+05 1.0609772658380597e+05 9.3519489341047942e+04 8.2378896795043416e+04 7.2521830969106086e+04 6.3809148334026031e+04 5.6115030923215483e+04 4.9325483952552597e+04 4.3336980810126894e+04 3.8055224892930717e+04 3.3069446761139407e+04 2.8702437666686230e+04 2.4864576936022018e+04 2.1473248647188087e+04 1.8451773487998984e+04 1.5728408355758347e+04 1.3235361830393223e+04 1.0907742550748333e+04 8.6823302843520596e+03 6.4959368987842463e+03 4.2829556238615623e+03 1.9730693221103106e+03 -5.1322151222509785e+02 -3.2733595982469456e+03 -6.4307578773887826e+03 -1.0150391565296735e+04 -1.4661986688312789e+04 -2.0296939424056403e+04 -2.7548294355273796e+04 -3.7167442770670074e+04 -5.0319595309006370e+04 -6.8803339777712768e+04 -9.5298468258190827e+04 -1.3347461671954958e+05 -1.8765949355594779e+05 -2.6176447567841169e+05 -3.5754181543289620e+05 -4.7287295581941394e+05 -6.0109262289624824e+05 -7.3207017580697720e+05 -8.5470943134430144e+05 -9.5977485075898492e+05 -1.0419013113636030e+06 -1.1002375673978296e+06 -1.1374898092560500e+06 -1.1584918923352568e+06 -1.1685109206717368e+06 -1.1720662720101431e+06 -1.1723417306703588e+06 -1.1715994823761745e+06 -1.1704991930686822e+06 -1.1692241750363188e+06 -1.1678288932122125e+06 -1.1663701718178845e+06 -1.1648299520558009e+06 -1.1632102084772075e+06 -1.1614459425992209e+06 -1.1595575453855561e+06 -1.1575102705714058e+06 -1.1552769368424499e+06 -1.1528245171327046e+06 -1.1501158180778611e+06 -1.1471081864216826e+06 -1.1437546688299787e+06 -1.1400037689724551e+06 -1.1357979888876718e+06 -1.1310762689221881e+06 -1.1257728747703615e+06 -1.1198200189831501e+06 -1.1131497233841342e+06 -1.1056971971697945e+06 -1.0974215500696511e+06 -1.0882497206081259e+06 -1.0781826441258676e+06 -1.0672436194121521e+06 -1.0555184417861931e+06 -1.0431531181322138e+06 -1.0304255952326220e+06 -1.0177590323952249e+06 -1.0057840149013060e+06 -9.9541763917634089e+05 -9.8796576943472703e+05 -9.8529590406633506e+05 -9.9009018964653520e+05 -1.0062830524292706e+06 -1.0398347029781695e+06 -1.1001865803104704e+06 -1.2031613921172917e+06 3.2611226697213420e+04 +1.1083998652429662e-02 7.8269257524894972e+04 2.4683107964683385e+05 5.3561519552449021e+05 9.0962650245299924e+05 1.2734838229283597e+06 1.4836363531365974e+06 1.4757330473784166e+06 1.3558667599628672e+06 1.2323322406572928e+06 1.1267919989153259e+06 1.0261242138963117e+06 9.2852585247501184e+05 8.3665596021189191e+05 7.5142475971373613e+05 6.7258420803497219e+05 6.0059475504091301e+05 5.3575833652306499e+05 4.7761834412909154e+05 4.2553154195262032e+05 3.7888996086847218e+05 3.3716128711217135e+05 3.0023398737123568e+05 2.7117676029313670e+05 2.5627524262843773e+05 2.4367664449461244e+05 2.2155788645052261e+05 1.9696993835810552e+05 1.7433004244582340e+05 1.5411613065027562e+05 1.3613632223124168e+05 1.2016209980557431e+05 1.0598354868894728e+05 9.3411302873862282e+04 8.2274721914399197e+04 7.2419933431027937e+04 6.3708005325145721e+04 5.6013298633992243e+04 4.9221966367588298e+04 4.3230599292977677e+04 3.7944988018663265e+04 3.2954026543342399e+04 2.8580784377429245e+04 2.4735626325347428e+04 2.1335873677222917e+04 1.8304730459952483e+04 1.5570275189362786e+04 1.3064465625239183e+04 1.0722072672633891e+04 8.4794317590489063e+03 6.2727780735304596e+03 4.0357532654239712e+03 1.6970736406615219e+03 -8.2402065049281123e+02 -3.6266777547505976e+03 -6.8366167896921097e+03 -1.0622038187473252e+04 -1.5217271286590307e+04 -2.0960454044941380e+04 -2.8354723652956480e+04 -3.8166838556382965e+04 -5.1585576091692972e+04 -7.0445044979749073e+04 -9.7475801799720284e+04 -1.3641272257634872e+05 -1.9165343280128506e+05 -2.6716236581927014e+05 -3.6469966975715745e+05 -4.8208783081464487e+05 -6.1253400999875821e+05 -7.4573571901746397e+05 -8.7042141664998210e+05 -9.7721744114901009e+05 -1.0606842937982136e+06 -1.1199665592062231e+06 -1.1578198333883607e+06 -1.1791588842175780e+06 -1.1893369901066788e+06 -1.1929468797642549e+06 -1.1932238436334594e+06 -1.1924674642999908e+06 -1.1913472144479172e+06 -1.1900493580110369e+06 -1.1886291844219253e+06 -1.1871444705865760e+06 -1.1855768145778847e+06 -1.1839282225505239e+06 -1.1821325329002927e+06 -1.1802105011533468e+06 -1.1781267619070529e+06 -1.1758536498487298e+06 -1.1733575497186321e+06 -1.1706006055806961e+06 -1.1675394039535844e+06 -1.1641261579216591e+06 -1.1603084501928054e+06 -1.1560277604095717e+06 -1.1512219411719053e+06 -1.1458240875204885e+06 -1.1397652046935128e+06 -1.1329761036387323e+06 -1.1253908390603606e+06 -1.1169677949995806e+06 -1.1076326050697465e+06 -1.0973862229168604e+06 -1.0862523621137431e+06 -1.0743183462358492e+06 -1.0617327827525148e+06 -1.0487785688659626e+06 -1.0358864003511630e+06 -1.0236980962581289e+06 -1.0131470841561734e+06 -1.0055624886025497e+06 -1.0028450694226393e+06 -1.0077247461668525e+06 -1.0242060207184500e+06 -1.0583552605891398e+06 -1.1197820635182871e+06 -1.2245909563144036e+06 3.3013324166842132e+04 +1.1152311976374056e-02 7.7959099935401915e+04 2.4633354122455508e+05 5.3479787455670524e+05 9.0839736557319062e+05 1.2718610969574940e+06 1.4818013762786489e+06 1.4739336356656845e+06 1.3542257816371659e+06 1.2308517764995855e+06 1.1254512602888001e+06 1.0249159382163357e+06 9.2744400680745463e+05 8.3569145950893604e+05 7.5056748378360283e+05 6.7182421127791086e+05 5.9992182878217194e+05 5.3516237011859496e+05 4.7709003718950145e+05 4.2506253611092601e+05 3.7847277341337421e+05 3.3678922320786770e+05 2.9990096789651318e+05 2.7087673179899191e+05 2.5600299593572450e+05 2.4343213558181768e+05 2.2134163138092202e+05 1.9677879395424188e+05 1.7415989132390585e+05 1.5396318587195728e+05 1.3599724187509596e+05 1.2003394707584396e+05 1.0586374679503730e+05 9.3297593198086586e+04 8.2165125241139292e+04 7.2312713814209244e+04 6.3601636081895369e+04 5.5906430049410199e+04 4.9113394587082221e+04 4.3119235980920472e+04 3.7829830234146735e+04 3.2833735934848555e+04 2.8454293552026371e+04 2.4601850980692594e+04 2.1193664146397561e+04 1.8152817535744223e+04 1.5407207944590067e+04 1.2888538291941382e+04 1.0531236728785954e+04 8.2711878690403864e+03 6.0440417041376822e+03 3.7826768293831160e+03 1.4148276950766970e+03 -1.1415464017931890e+03 -3.9873270871882210e+03 -7.2505775992338431e+03 -1.1102776339814913e+04 -1.5782930536462787e+04 -2.1636028165591568e+04 -2.9175459336233023e+04 -3.9183589677480217e+04 -5.2873119924096623e+04 -7.2114187565109940e+04 -9.9688772227965281e+04 -1.3939770949908710e+05 -1.9570910918037361e+05 -2.7264058589554095e+05 -3.7195964267700497e+05 -4.9142859745248099e+05 -6.2412539671592100e+05 -7.5957399820249726e+05 -8.8632608944899647e+05 -9.9486898393595417e+05 -1.0796884920568219e+06 -1.1399252562231170e+06 -1.1783848721388448e+06 -1.2000638151907716e+06 -1.2104023322294794e+06 -1.2140671629973860e+06 -1.2143455630727229e+06 -1.2135748674832839e+06 -1.2124344188844021e+06 -1.2111134587633030e+06 -1.2096681068227638e+06 -1.2081571020726615e+06 -1.2065616950015062e+06 -1.2048839235257292e+06 -1.2030564495911344e+06 -1.2011003974393441e+06 -1.1989797754242385e+06 -1.1966664286775112e+06 -1.1941261470057694e+06 -1.1913204042934244e+06 -1.1882050181207976e+06 -1.1847313583865585e+06 -1.1808460763342446e+06 -1.1764896174500452e+06 -1.1715987341098066e+06 -1.1661053372700887e+06 -1.1599392110079639e+06 -1.1530299414998242e+06 -1.1453104157218577e+06 -1.1367382836632726e+06 -1.1272378591131726e+06 -1.1168101142066268e+06 -1.1054791820581795e+06 -1.0933339320337919e+06 -1.0805256020236255e+06 -1.0673420964409702e+06 -1.0542217340011597e+06 -1.0418176963613142e+06 -1.0310799296469035e+06 -1.0233610855900758e+06 -1.0205955670447955e+06 -1.0255616146015235e+06 -1.0423346097045674e+06 -1.0770882946889349e+06 -1.1396023551552582e+06 -1.2462663699447226e+06 3.3420372492897877e+04 +1.1221046331606406e-02 7.7646515475132590e+04 2.4583379410167006e+05 5.3397871693493566e+05 9.0716681654977985e+05 1.2702372511428248e+06 1.4799652053534915e+06 1.4721325672981080e+06 1.3525825631991441e+06 1.2293685272032947e+06 1.1241072356639733e+06 1.0237039203855939e+06 9.2635801300405955e+05 8.3472246035202430e+05 7.4970541582396068e+05 6.7105918410840502e+05 5.9924368566775043e+05 5.3456104482301825e+05 4.7655626765669469e+05 4.2458799751913222e+05 3.7805001227466855e+05 3.3641156966339215e+05 2.9956236005118530e+05 2.7057108713522920e+05 2.5572497141114491e+05 2.4318165536022719e+05 2.2111934616135625e+05 1.9658164212862248e+05 1.7398378469144541e+05 1.5380435398703619e+05 1.3585235488932696e+05 1.1990007695581818e+05 1.0573832255479864e+05 9.3178359314123547e+04 8.2050103097369225e+04 7.2200165754033325e+04 6.3490031556082220e+04 5.5794413447939471e+04 4.8999754228594473e+04 4.3002873840720771e+04 3.7709731857602346e+04 3.2708552396031762e+04 2.8322939758454293e+04 2.4463222513726061e+04 2.1046588609526996e+04 1.7996000069349451e+04 1.5239168579830095e+04 1.2707538141228255e+04 1.0335189065639701e+04 8.0575486066882359e+03 5.8096729525591245e+03 3.5236660597278651e+03 1.1262650730187352e+03 -1.4658722886885605e+03 -4.3553894992691012e+03 -7.6727323138763968e+03 -1.1592710501042371e+04 -1.6359084663586038e+04 -2.2323802330562161e+04 -3.0010668698340414e+04 -4.0217899241988009e+04 -5.4182478353560764e+04 -7.3811084358238964e+04 -1.0193778214619427e+05 -1.4243008704819932e+05 -1.9982715522776986e+05 -2.7819989529995155e+05 -3.7932260776931106e+05 -5.0089621564388613e+05 -6.3586779339506151e+05 -7.7358603981180047e+05 -9.0242446705019462e+05 -1.0127304739456079e+06 -1.0989148755103394e+06 -1.1601146058486674e+06 -1.1991858568716168e+06 -1.2212076062895081e+06 -1.2317078619637170e+06 -1.2354280330963365e+06 -1.2357077981526530e+06 -1.2349225998659087e+06 -1.2337617132040472e+06 -1.2324173830422899e+06 -1.2309465650518588e+06 -1.2294089697765515e+06 -1.2277854956302564e+06 -1.2260782124504575e+06 -1.2242185923550895e+06 -1.2222281324647556e+06 -1.2200702077553829e+06 -1.2177161682357830e+06 -1.2151312019977281e+06 -1.2122761051205674e+06 -1.2091059174996598e+06 -1.2055711562062437e+06 -1.2016175304680690e+06 -1.1971844398236223e+06 -1.1922075238928071e+06 -1.1866174960689892e+06 -1.1803429053631693e+06 -1.1733120992383959e+06 -1.1654567836536197e+06 -1.1567338661497899e+06 -1.1470663257199023e+06 -1.1364551531791119e+06 -1.1249249059552904e+06 -1.1125660168065003e+06 -1.0995323839927008e+06 -1.0861169761481329e+06 -1.0727658217230968e+06 -1.0601435943119833e+06 -1.0492169467192204e+06 -1.0413623256959283e+06 -1.0385481601636744e+06 -1.0436015618951833e+06 -1.0606695988744521e+06 -1.0960346107530114e+06 -1.1596483074439245e+06 -1.2681885649840296e+06 3.3832432502583462e+04 +1.1290204313042831e-02 7.7331472163630649e+04 2.4533180169960819e+05 5.3315768466691067e+05 9.0593484624644974e+05 1.2686122708402644e+06 1.4781278020740799e+06 1.4703298155524256e+06 1.3509370886769525e+06 1.2278824864080574e+06 1.1227599249447398e+06 1.0224881641230154e+06 9.2526787902115367e+05 8.3374897357567702e+05 7.4883856873751129e+05 6.7028914108057809e+05 5.9856034116346471e+05 5.3395437658047071e+05 4.7601705146509962e+05 4.2410794173165376e+05 3.7762169232567219e+05 3.3602834038478497e+05 2.9921817661368602e+05 2.7025983843097591e+05 2.5544118242577583e+05 2.4292521872937991e+05 2.2089104519095022e+05 1.9637849562986862e+05 1.7380173326822251e+05 1.5363964348548616e+05 1.3570166738740483e+05 1.1976049307533418e+05 1.0560727703872757e+05 9.3053599683947177e+04 8.1929651309460300e+04 7.2082282429922270e+04 6.3373182281054156e+04 5.5677236724549271e+04 4.8881030558271392e+04 4.2881495516470080e+04 3.7584672909990877e+04 3.2578453113437339e+04 2.8186697310106247e+04 2.4319712296299931e+04 2.0894615391617641e+04 1.7834243189268091e+04 1.5066118826318052e+04 1.2521423247796696e+04 1.0133883776453571e+04 7.8384636840699268e+03 5.5696166617943991e+03 3.2586603298435607e+03 8.3131892550244766e+02 -1.7970723519845246e+03 -4.7309475116478734e+03 -8.1031736767839166e+03 -1.2091946027686381e+04 -1.6945854945706160e+04 -2.3023918353868277e+04 -3.0860520578856031e+04 -4.1269972260902447e+04 -5.5513905287301059e+04 -7.5536055105465450e+04 -1.0422323771148837e+05 -1.4551036893463420e+05 -2.0400820801207863e+05 -2.8384105792292103e+05 -3.8678944250341482e+05 -5.1049164799170668e+05 -6.4776221141000453e+05 -7.8777286940751679e+05 -9.1871756396849744e+05 -1.0308029015179791e+06 -1.1183644076889253e+06 -1.1805355486692747e+06 -1.2202237114994079e+06 -1.2425911707319703e+06 -1.2532544862312682e+06 -1.2570303933727760e+06 -1.2573114499408139e+06 -1.2565115612883356e+06 -1.2553299961421350e+06 -1.2539620285096448e+06 -1.2524654556725111e+06 -1.2509009691342169e+06 -1.2492491107167362e+06 -1.2475119823308378e+06 -1.2456198528427263e+06 -1.2435945964312935e+06 -1.2413989475324096e+06 -1.2390037554365089e+06 -1.2363735997290071e+06 -1.2334685910179596e+06 -1.2302429827358613e+06 -1.2266464294481527e+06 -1.2226236877856972e+06 -1.2181130994917443e+06 -1.2130491788553318e+06 -1.2073614281797640e+06 -1.2009771474539968e+06 -1.1938234314263896e+06 -1.1858307917064740e+06 -1.1769553849554549e+06 -1.1671188403478174e+06 -1.1563221675606489e+06 -1.1445903531334368e+06 -1.1320154108824332e+06 -1.1187539294967223e+06 -1.1051039990515516e+06 -1.0915194448548346e+06 -1.0786765622565413e+06 -1.0675588995615263e+06 -1.0595669673864143e+06 -1.0567036051980963e+06 -1.0618453481467066e+06 -1.0792117607585385e+06 -1.1151950070665448e+06 -1.1799207650013079e+06 -1.2903584650893614e+06 3.4249565768003849e+04 +1.1359788531592535e-02 7.7013938330861085e+04 2.4482754015485710e+05 5.3233475838757190e+05 9.0470141136387445e+05 1.2669861149245177e+06 1.4762891539656143e+06 1.4685253601979641e+06 1.3492893494887659e+06 1.2263936477670621e+06 1.1214093274975761e+06 1.0212686723381177e+06 9.2417361203217285e+05 8.3277100927787903e+05 7.4796695442143327e+05 6.6951409580024914e+05 5.9787180974849581e+05 5.3334238031576341e+05 4.7547240355770587e+05 4.2362238333428325e+05 3.7718782748654054e+05 3.3563954835165723e+05 2.9886842945836438e+05 2.6994299693256454e+05 2.5515164146924185e+05 2.4266283970867310e+05 2.2065674201496318e+05 1.9616936639198902e+05 1.7361374700356589e+05 1.5346906213108791e+05 1.3554518480227349e+05 1.1961519842887687e+05 1.0547061072602676e+05 9.2923312221675864e+04 8.1803765197030691e+04 7.1959056554070339e+04 6.3251078360000043e+04 5.5554887378136664e+04 4.8757208477821223e+04 4.2755083316144250e+04 3.7454633101365114e+04 3.2443414985903895e+04 2.8045540251750361e+04 2.4171291446148443e+04 2.0737712573256973e+04 1.7667511784163107e+04 1.4888020173841960e+04 1.2330151436292381e+04 9.9272746873643591e+03 7.6138825193302091e+03 5.3238173425897639e+03 2.9875986293905353e+03 5.2992195384015019e+02 -2.1352211640177748e+03 -5.1140842758285471e+03 -8.5419951813993321e+03 -1.2600589170792508e+04 -1.7543363731525449e+04 -2.3736519340942610e+04 -3.1725185389467089e+04 -4.2340015679433549e+04 -5.6867657029896756e+04 -7.7289422520454114e+04 -1.0654554868859108e+05 -1.4863907308181265e+05 -2.0825290920430303e+05 -2.8956484222827497e+05 -3.9436102832245023e+05 -5.2021585988722567e+05 -6.5980966326948965e+05 -8.0213551179744594e+05 -9.3520639208074484e+05 -1.0490872526815902e+06 -1.1380380464782896e+06 -1.2011890186597474e+06 -1.2414993527019429e+06 -1.2642154141404044e+06 -1.2750431041792445e+06 -1.2788751392841856e+06 -1.2791574116321160e+06 -1.2783426437171106e+06 -1.2771401585638721e+06 -1.2757482849662625e+06 -1.2742256673950213e+06 -1.2726339877375732e+06 -1.2709534266791234e+06 -1.2691861183531822e+06 -1.2672611148977126e+06 -1.2652006717440954e+06 -1.2629668756018525e+06 -1.2605300694294909e+06 -1.2578542174800341e+06 -1.2548987372047184e+06 -1.2516170867597267e+06 -1.2479580484905641e+06 -1.2438654158102062e+06 -1.2392764607781172e+06 -1.2341245597293868e+06 -1.2283379902984737e+06 -1.2218427894440815e+06 -1.2145647851538707e+06 -1.2064332812984569e+06 -1.1974036751999587e+06 -1.1873962311342622e+06 -1.1764119778312491e+06 -1.1644763357480776e+06 -1.1516829174924919e+06 -1.1381910323550426e+06 -1.1243039492860381e+06 -1.1104833778950272e+06 -1.0974173655771322e+06 -1.0861065456670644e+06 -1.0779757624853523e+06 -1.0750626519378992e+06 -1.0802937267954319e+06 -1.0979618611194058e+06 -1.1345702749262324e+06 -1.2004205650466168e+06 -1.3127769858266055e+06 3.4671834615242667e+04 +1.1429801614256378e-02 7.6693881943882618e+04 2.4432097347636594e+05 5.3150989152302849e+05 9.0346647142336657e+05 1.2653587801798829e+06 1.4744492444107227e+06 1.4667191913199415e+06 1.3476393320246011e+06 1.2249020049639500e+06 1.1200554416853266e+06 1.0200454472473374e+06 9.2307521807706228e+05 8.3178857648535387e+05 7.4709058383197139e+05 6.6873406088060047e+05 5.9717810491208511e+05 5.3272506993685872e+05 4.7492233788688621e+05 4.2313133594241150e+05 3.7674843072379957e+05 3.3524520561714395e+05 2.9851312955412001e+05 2.6962057300201413e+05 2.5485636014726726e+05 2.4239453143508895e+05 2.2041644932253016e+05 1.9595426553106858e+05 1.7341983507054133e+05 1.5329261695514445e+05 1.3538291187881125e+05 1.1946419536665009e+05 1.0532832349558068e+05 9.2787494283312131e+04 8.1672439562539337e+04 7.1830480360213813e+04 6.3123709454080432e+04 5.5427352499696957e+04 4.8628272511583476e+04 4.2623619198435576e+04 3.7319591817217573e+04 3.2303414610554224e+04 2.7899442345208328e+04 2.4017930812640290e+04 2.0575847976366818e+04 1.7495770488439957e+04 1.4704833856378402e+04 1.2133680267006353e+04 9.7153153434819324e+03 7.3837542229698220e+03 5.0722191599661664e+03 2.7104195510426161e+03 2.2200639637256651e+02 -2.4803938421822295e+03 -5.5048835882887861e+03 -8.9892910866659113e+03 -1.3118747092640167e+04 -1.8151734459800391e+04 -2.4461749710743723e+04 -3.2604835140330433e+04 -4.3428238408282159e+04 -5.8243992321305945e+04 -7.9071512329956313e+04 -1.0890512850361032e+05 -1.5181672168718578e+05 -2.1256190514774117e+05 -2.9537202132848580e+05 -4.0203825072897231e+05 -5.3006981960578065e+05 -6.7201116273264319e+05 -8.1667499116926105e+05 -9.5189196078031405e+05 -1.0675845093327423e+06 -1.1579367443113555e+06 -1.2220759433955334e+06 -1.2630136901427142e+06 -1.2860812347665715e+06 -1.2970746074028944e+06 -1.3009631586629585e+06 -1.3012465687717393e+06 -1.3004167314711174e+06 -1.2991930836906177e+06 -1.2977770345801762e+06 -1.2962280813027436e+06 -1.2946089055619217e+06 -1.2928993223298194e+06 -1.2911014981051949e+06 -1.2891432547777873e+06 -1.2870472332362621e+06 -1.2847748652523228e+06 -1.2822959818185247e+06 -1.2795739250047433e+06 -1.2765674113898685e+06 -1.2732290950127181e+06 -1.2695068762459261e+06 -1.2653435746224250e+06 -1.2606753805888600e+06 -1.2554345198612304e+06 -1.2495480317677592e+06 -1.2429406761857655e+06 -1.2355370002397087e+06 -1.2272650866260682e+06 -1.2180795648348695e+06 -1.2078993191121640e+06 -1.1967253974257419e+06 -1.1845836589821491e+06 -1.1715693329736004e+06 -1.1578444795773649e+06 -1.1437176042582148e+06 -1.1296583886941168e+06 -1.1163667630891085e+06 -1.1048606360312919e+06 -1.0965894563647476e+06 -1.0936260437435252e+06 -1.0989474448175896e+06 -1.1169206591468281e+06 -1.1541611988341527e+06 -1.2211485376117686e+06 -1.3354450349048057e+06 3.5099302133553021e+04 +1.1500246204226055e-02 7.6371271119715209e+04 2.4381206879054598e+05 5.3068306567878858e+05 9.0223001818065403e+05 1.2637302217163402e+06 1.4726080340679397e+06 1.4649112881545101e+06 1.3459870219411366e+06 1.2234075521764646e+06 1.1186982638627393e+06 1.0188184906167635e+06 9.2197270194430882e+05 8.3080168299746967e+05 7.4620946701449377e+05 6.6794904790411633e+05 5.9647923914975941e+05 5.3210245834452577e+05 4.7436686741676420e+05 4.2263481220546196e+05 3.7630351405167952e+05 3.3484532330670190e+05 2.9815228696393763e+05 2.6929257611558167e+05 2.5455534918034717e+05 2.4212030616084579e+05 2.2017017894175343e+05 1.9573320334027987e+05 1.7322000586100310e+05 1.5311031425079328e+05 1.3521485266669394e+05 1.1930748558751970e+05 1.0518041461767582e+05 9.2646142657791046e+04 8.1535668681098774e+04 7.1696545592869981e+04 6.2991064770814650e+04 5.5294618759571611e+04 4.8494206794130238e+04 4.2487084759605699e+04 3.7179528105057005e+04 3.2158428269217744e+04 2.7748377055505080e+04 2.3859600962503682e+04 2.0408989149847515e+04 1.7318983667889668e+04 1.4516520837827025e+04 1.1931967021761235e+04 9.4979589947698296e+03 7.1480275839993192e+03 4.8147659195807328e+03 2.4270612769892350e+03 -9.2495985015060171e+01 -2.8326660626810944e+03 -5.9034299049044203e+03 -9.4451564325384643e+03 -1.3646527884022213e+04 -1.8771091678831137e+04 -2.5199755218323047e+04 -3.3499643466552225e+04 -4.4534851355595194e+04 -5.9643172375316426e+04 -8.0882653319862497e+04 -1.1130239429921164e+05 -1.5504384128551869e+05 -2.1693584692681758e+05 -3.0126337306187052e+05 -4.0982199936916208e+05 -5.4005449840362067e+05 -6.8436772492333769e+05 -8.3139233122304943e+05 -9.6877527713755902e+05 -1.0862956494144048e+06 -1.1780614483717729e+06 -1.2431972442648655e+06 -1.2847676266875523e+06 -1.3081895237132644e+06 -1.3193498801729311e+06 -1.3232953319451157e+06 -1.3235797994869784e+06 -1.3227347014493612e+06 -1.3214896473319859e+06 -1.3200491521069896e+06 -1.3184735710813960e+06 -1.3168265951935814e+06 -1.3150876691020667e+06 -1.3132589918062470e+06 -1.3112671413804428e+06 -1.3091351483943455e+06 -1.3068237824394121e+06 -1.3043023568864490e+06 -1.3015335847520181e+06 -1.2984754739967878e+06 -1.2950798656675497e+06 -1.2912937683742824e+06 -1.2870590170774125e+06 -1.2823107086345982e+06 -1.2769799054254629e+06 -1.2709923947977258e+06 -1.2642716454371044e+06 -1.2567409094496223e+06 -1.2483270348815834e+06 -1.2389838748594851e+06 -1.2286289184190009e+06 -1.2172632329527545e+06 -1.2049131212578041e+06 -1.1916754469769325e+06 -1.1777150515629828e+06 -1.1633457348466110e+06 -1.1490452386530435e+06 -1.1355255072358050e+06 -1.1238219153404962e+06 -1.1154087881377910e+06 -1.1123945177292028e+06 -1.1178072429142592e+06 -1.1360889076600461e+06 -1.1739685567071401e+06 -1.2421055057628825e+06 -1.3583635124128268e+06 3.5532032184651231e+04 +1.1571124960983876e-02 7.6046072217919791e+04 2.4330079719893544e+05 5.2985423751795013e+05 9.0099199825787137e+05 1.2621003984648874e+06 1.4707654961510214e+06 1.4631016333860653e+06 1.3443324109477657e+06 1.2219102799851713e+06 1.1173377901460635e+06 1.0175878035221559e+06 9.2086606737278041e+05 8.2981033554198442e+05 7.4532361309294554e+05 6.6715906740137259e+05 5.9577522395980021e+05 5.3147455744908052e+05 4.7380600412522949e+05 4.2213282380572369e+05 3.7585308853195020e+05 3.3443991161597252e+05 2.9778591084408719e+05 2.6895901486187190e+05 2.5424861840155590e+05 2.4184017525051636e+05 2.1991794183742706e+05 1.9550618928597283e+05 1.7301426698064624e+05 1.5292215956627607e+05 1.3504101051355712e+05 1.1914507013083893e+05 1.0502688274454388e+05 9.2499253556819895e+04 8.1393446290198946e+04 7.1557243496114883e+04 6.2853133052630968e+04 5.5156672395767069e+04 4.8354995057495667e+04 4.2345461220653735e+04 3.7034420661152566e+04 3.2008431914545286e+04 2.7592317536893177e+04 2.3696272165725350e+04 2.0237103355318872e+04 1.7137115405326727e+04 1.4323041797571137e+04 1.1724968689523632e+04 9.2751585819065749e+03 6.9066510559693597e+03 4.5514010539672481e+03 2.1374615652992507e+03 -4.1365391858026140e+02 -3.1921140745098332e+03 -6.3098083555667981e+03 -9.9096870557336624e+03 -1.4184040581587118e+04 -1.9401561066223927e+04 -2.5950682977838580e+04 -3.4409785655327782e+04 -4.5660067459349390e+04 -6.1065460918802186e+04 -8.2723177382396956e+04 -1.1373776698990550e+05 -1.5832096281231765e+05 -2.2137539043872798e+05 -3.0723968007067835e+05 -4.1771316812043841e+05 -5.5017087061672832e+05 -6.9688036644471495e+05 -8.4628855531326600e+05 -9.8585734605820954e+05 -1.1052216471005701e+06 -1.1984131007910646e+06 -1.2645538366802498e+06 -1.3067620586308665e+06 -1.3305411651657803e+06 -1.3418697996665428e+06 -1.3458725323987179e+06 -1.3461579747174247e+06 -1.3452974233625557e+06 -1.3440307181091972e+06 -1.3425655051316754e+06 -1.3409630032481726e+06 -1.3392879220584000e+06 -1.3375193312755669e+06 -1.3356594625347983e+06 -1.3336336364778706e+06 -1.3314652775868780e+06 -1.3291144860109459e+06 -1.3265500518264140e+06 -1.3237340520954723e+06 -1.3206237783885717e+06 -1.3171702498572683e+06 -1.3133195735194110e+06 -1.3090125890373206e+06 -1.3041832876544681e+06 -1.2987615556584785e+06 -1.2926719146892265e+06 -1.2858365280792937e+06 -1.2781773387178220e+06 -1.2696199464684492e+06 -1.2601174195373007e+06 -1.2495858365129041e+06 -1.2380262843978896e+06 -1.2254655144467123e+06 -1.2120020426738074e+06 -1.1978035223078607e+06 -1.1831891056035412e+06 -1.1686446829273456e+06 -1.1548943442850623e+06 -1.1429911221730912e+06 -1.1344344908530961e+06 -1.1313688049622111e+06 -1.1368738557117297e+06 -1.1554673532953155e+06 -1.1939931200758095e+06 -1.2632922858080899e+06 -1.3815333110504816e+06 3.5970089412127338e+04 +1.1642440560403179e-02 7.5718251723365669e+04 2.4278711985801029e+05 5.2902337729909783e+05 8.9975239524176170e+05 1.2604693064494811e+06 1.4689216227502970e+06 1.4612902013121084e+06 1.3426754877041152e+06 1.2204101771936798e+06 1.1159740164818377e+06 1.0163533856603730e+06 9.1975531708409113e+05 8.2881454000799579e+05 7.4443303020747879e+05 6.6636412885985291e+05 5.9506606984439795e+05 5.3084137818147172e+05 4.7323975900969590e+05 4.2162538145942643e+05 3.7539716427518125e+05 3.3402897981117462e+05 2.9741400944395026e+05 2.6861989694132184e+05 2.5393617675464961e+05 2.4155414917909555e+05 2.1965974810796377e+05 1.9527323200420005e+05 1.7280262524393538e+05 1.5272815769960755e+05 1.3486138805836890e+05 1.1897694936843548e+05 1.0486772590250919e+05 9.2346822606159156e+04 8.1245765579684317e+04 7.1412564803199610e+04 6.2709902565518474e+04 5.5013499202032697e+04 4.8210620618896151e+04 4.2198729414403846e+04 3.6884247817218558e+04 3.1853401156669148e+04 2.7431236618939540e+04 2.3527914381490857e+04 2.0060157552891913e+04 1.6950129486313734e+04 1.4124357116225347e+04 1.1512641952172833e+04 9.0468667221059550e+03 6.6595727429031413e+03 4.2820676085893283e+03 1.8415577360691843e+03 -7.4153663661585449e+02 -3.5588147136649527e+03 -6.7241047590849375e+03 -1.0382979605750066e+04 -1.4731395185602834e+04 -2.0043269448942698e+04 -2.6714681485583511e+04 -3.5335438673351360e+04 -4.6804101720175073e+04 -6.2511124231087313e+04 -8.4593419563750256e+04 -1.1621167131805440e+05 -1.6164862166855976e+05 -2.2588119646647907e+05 -3.1330172987990972e+05 -4.2571265517770685e+05 -5.6041991376244952e+05 -7.0955010549682216e+05 -8.6136468658422027e+05 -1.0031391704466025e+06 -1.1243634729755365e+06 -1.2189926388491758e+06 -1.2861466302946308e+06 -1.3289978759151071e+06 -1.3531370366165100e+06 -1.3646352362006747e+06 -1.3686956263591207e+06 -1.3689819584479462e+06 -1.3681057599641928e+06 -1.3668171576972571e+06 -1.3653269542891649e+06 -1.3636972373830325e+06 -1.3619937446553728e+06 -1.3601951662141238e+06 -1.3583037664615514e+06 -1.3562435949388880e+06 -1.3540384742945894e+06 -1.3516478279436403e+06 -1.3490399169686192e+06 -1.3461761755595976e+06 -1.3430131710986325e+06 -1.3395010918997517e+06 -1.3355851335311993e+06 -1.3312051295895604e+06 -1.3262939536416729e+06 -1.3207803030778966e+06 -1.3145874200546737e+06 -1.3076361483448900e+06 -1.2998471073666273e+06 -1.2911446352243118e+06 -1.2814810066129870e+06 -1.2707708743868629e+06 -1.2590153453464846e+06 -1.2462416240810102e+06 -1.2325498969665775e+06 -1.2181106596142736e+06 -1.2032484749608925e+06 -1.1884574706270106e+06 -1.1744740145315763e+06 -1.1623689891923184e+06 -1.1536672916879468e+06 -1.1505496306582238e+06 -1.1561480119524326e+06 -1.1750567367159384e+06 -1.2142356542988031e+06 -1.2847096875230027e+06 -1.4049553163722886e+06 3.6413539250972317e+04 +1.1714195694849341e-02 7.5387777491290661e+04 2.4227100296724643e+05 5.2819046028588142e+05 8.9851117074604775e+05 1.2588369025464861e+06 1.4670763705913406e+06 1.4594769792234786e+06 1.3410162279434137e+06 1.2189072358080882e+06 1.1146069373903326e+06 1.0151152350996267e+06 9.1864045301396924e+05 8.2781430147665949e+05 7.4353772545776749e+05 6.6556424075663683e+05 5.9435178631985921e+05 5.3020293049782712e+05 4.7266814209063468e+05 4.2111249491888453e+05 3.7493575044189970e+05 3.3361253622688801e+05 2.9703659010549367e+05 2.6827522916357964e+05 2.5361803229270093e+05 2.4126223752930434e+05 2.1939560698173667e+05 1.9503433929568485e+05 1.7258508666841543e+05 1.5252831269220758e+05 1.3467598722403267e+05 1.1880312299764389e+05 1.0470294148318091e+05 9.2188844836269287e+04 8.1092619181793125e+04 7.1262499725786343e+04 6.2561361087902376e+04 5.4865084516069561e+04 4.8061066368564556e+04 4.2046869772799881e+04 3.6728987527428209e+04 3.1693311249571194e+04 2.7265106792867642e+04 2.3354497244235143e+04 1.9878118386933998e+04 1.6757989384789318e+04 1.3920426861160517e+04 1.1294943170078795e+04 8.8130356947569671e+03 6.4067403851005211e+03 4.0067082277905884e+03 1.5392866574343889e+03 -1.0762138895438356e+03 -3.9328454175715701e+03 -7.1464056383057987e+03 -1.0865131561168304e+04 -1.5288702677956271e+04 -2.0696344823734911e+04 -2.7491900643801040e+04 -3.6276781194558513e+04 -4.7967171234719382e+04 -6.3980431184261259e+04 -8.6493718112333299e+04 -1.1872453591114232e+05 -1.6502735778605859e+05 -2.3045393074916967e+05 -3.1945031497720088e+05 -4.3382136314318120e+05 -5.7080260863696225e+05 -7.2237796199581609e+05 -8.7662174810902146e+05 -1.0206217513697994e+06 -1.1437220942261517e+06 -1.2398009951842730e+06 -1.3079765292202102e+06 -1.3514759623622999e+06 -1.3759780091020067e+06 -1.3876470534626429e+06 -1.3917654734599753e+06 -1.3920526079437279e+06 -1.3911605672890176e+06 -1.3898498210510300e+06 -1.3883343535090254e+06 -1.3866771263636984e+06 -1.3849449147898392e+06 -1.3831160245971060e+06 -1.3811927530795168e+06 -1.3790978649706466e+06 -1.3768555853451453e+06 -1.3744246535679006e+06 -1.3717727960126661e+06 -1.3688607970546042e+06 -1.3656444920543865e+06 -1.3620732295271873e+06 -1.3580912836925890e+06 -1.3536374712772968e+06 -1.3486435360678812e+06 -1.3430369737093027e+06 -1.3367397330478888e+06 -1.3296713240397831e+06 -1.3217510283309475e+06 -1.3129019086393013e+06 -1.3030754375315094e+06 -1.2921848267896136e+06 -1.2802312031938368e+06 -1.2672422295675038e+06 -1.2533197806969937e+06 -1.2386372252945122e+06 -1.2235245954382694e+06 -1.2084843450196097e+06 -1.1942652524982200e+06 -1.1819562433518986e+06 -1.1731079121548466e+06 -1.1699377143774380e+06 -1.1756304346987559e+06 -1.1948577928083187e+06 -1.2346969187647265e+06 -1.3063585143716710e+06 -1.4286304070274034e+06 3.6862447937212914e+04 +1.1786393073281434e-02 7.5054614545619566e+04 2.4175242088189791e+05 5.2735543548597884e+05 8.9726829331774649e+05 1.2572031427263813e+06 1.4652297385006859e+06 1.4576619431648275e+06 1.3393546241823835e+06 1.2174014484857076e+06 1.1132365474069638e+06 1.0138733493660755e+06 9.1752147663814598e+05 8.2680962405201839e+05 7.4263770489634690e+05 6.6475941061489191e+05 5.9363238192175713e+05 5.2955922337695747e+05 4.7209116241311253e+05 4.2059417296786659e+05 3.7446885524224670e+05 3.3319058826643974e+05 2.9665365926325845e+05 2.6792501744731696e+05 2.5329419217556645e+05 2.4096444898939179e+05 2.1912552681402990e+05 1.9478951812233415e+05 1.7236165647094740e+05 1.5232262782371379e+05 1.3448480921155444e+05 1.1862359003330157e+05 1.0453252623527286e+05 9.2025314672848341e+04 8.0933999161462212e+04 7.1107037943531323e+04 6.2407495899447698e+04 5.4711413207679354e+04 4.7906314757498578e+04 4.1889862314374463e+04 3.6568617355393406e+04 3.1528137077825464e+04 2.7093900197824507e+04 2.3175990049540593e+04 1.9690952172001198e+04 1.6560658248824260e+04 1.3711210772208582e+04 1.1071828367711370e+04 8.5736174271027230e+03 6.1481013448453723e+03 3.7252651405657612e+03 1.2305847313695385e+03 -1.4177559602046256e+03 -4.3142842397344120e+03 -7.5767982354679343e+03 -1.1356241246185677e+04 -1.5856075040426083e+04 -2.1360916377787806e+04 -2.8282491784503702e+04 -3.7233993628556877e+04 -4.9149495229360029e+04 -6.5473653284024520e+04 -8.8424414527455752e+04 -1.2127679333954744e+05 -1.6845771569308324e+05 -2.3509426405761082e+05 -3.2568623289348837e+05 -4.4204019911453908e+05 -5.8131993942083023e+05 -7.3536495769432012e+05 -8.9206076303587889e+05 -1.0383060882194870e+06 -1.1632984748223850e+06 -1.2608390979901182e+06 -1.3300444322447723e+06 -1.3741971958971526e+06 -1.3990649474310123e+06 -1.4109061087480211e+06 -1.4150829268796179e+06 -1.4153707739849107e+06 -1.4144626948872544e+06 -1.4131295566460628e+06 -1.4115885502424031e+06 -1.4099035166029914e+06 -1.4081422778062609e+06 -1.4062827506518073e+06 -1.4043272654425239e+06 -1.4021972883477821e+06 -1.3999174511430301e+06 -1.3974458018040576e+06 -1.3947495262648559e+06 -1.3917887521055585e+06 -1.3885185748227783e+06 -1.3848874941276058e+06 -1.3808388529579332e+06 -1.3763104403355878e+06 -1.3712328581201208e+06 -1.3655323873142493e+06 -1.3591296695865875e+06 -1.3519428667661196e+06 -1.3438899083775694e+06 -1.3348925680829361e+06 -1.3249015076646470e+06 -1.3138284824421196e+06 -1.3016746393659764e+06 -1.2884681044045817e+06 -1.2743124588679182e+06 -1.2593839753864410e+06 -1.2440182138495659e+06 -1.2287260437401789e+06 -1.2142687871383689e+06 -1.2017536060891289e+06 -1.1927570682916746e+06 -1.1895337702243857e+06 -1.1953218415299053e+06 -1.2148712508878834e+06 -1.2553776671034528e+06 -1.3282395637207085e+06 -1.4525594550039575e+06 3.7316882517669066e+04 +1.1859035421354486e-02 7.4718726991807576e+04 2.4123132996953028e+05 5.2651828981581773e+05 8.9602371832256112e+05 1.2555680229491238e+06 1.4633816775448739e+06 1.4558450780057262e+06 1.3376906593903408e+06 1.2158928007747009e+06 1.1118628400269498e+06 1.0126277256551558e+06 9.1639838883662119e+05 8.2580051072157524e+05 7.4173297357944946e+05 6.6394964504777768e+05 5.9290786420605984e+05 5.2891026481414831e+05 4.7150882804723619e+05 4.2007042342276732e+05 3.7399648593699001e+05 3.3276314239987807e+05 2.9626522244277166e+05 2.6756926681869035e+05 2.5296466266850531e+05 2.4066079135097732e+05 2.1884951508488762e+05 1.9453877460343062e+05 1.7213233906191634e+05 1.5211110560570908e+05 1.3428785449305610e+05 1.1843834880050176e+05 1.0435647625639294e+05 9.1856225928419342e+04 8.0769897006518469e+04 7.0946168593744893e+04 6.2248293770321041e+04 5.4552469667892088e+04 4.7746347785463098e+04 4.1727686631797980e+04 3.6403114461203229e+04 3.1357853143430541e+04 2.6917588607389036e+04 2.2992361740494649e+04 1.9498624878717306e+04 1.6358098886360978e+04 1.3496668247238476e+04 1.0843253219207554e+04 8.3285634797752937e+03 5.8836025920105994e+03 3.4376801462405697e+03 9.1538787936085487e+02 -1.7662336783448045e+03 -4.7032098646085151e+03 -8.0153705278447114e+03 -1.1856407847427132e+04 -1.6433625273226091e+04 -2.2037114509790688e+04 -2.9086607693885377e+04 -3.8207258149061068e+04 -5.0351295094410532e+04 -6.6991064710587802e+04 -9.0385853609061145e+04 -1.2386888017426268e+05 -1.7194024458141215e+05 -2.3980287226799031e+05 -3.3201028628473653e+05 -4.5037007477622724e+05 -5.9197289378072822e+05 -7.4851211629921547e+05 -9.0768275472540467e+05 -1.0561931788829735e+06 -1.1830935757096848e+06 -1.2821078712303317e+06 -1.3523512330556188e+06 -1.3971624487822154e+06 -1.4223987104231440e+06 -1.4344132531989915e+06 -1.4386488335659383e+06 -1.4389373011096083e+06 -1.4380129860627619e+06 -1.4366572067141007e+06 -1.4350903857085290e+06 -1.4333772482819157e+06 -1.4315866728305290e+06 -1.4296961823933702e+06 -1.4277081403979305e+06 -1.4255427006459332e+06 -1.4232249059093469e+06 -1.4207121054020904e+06 -1.4179709388632178e+06 -1.4149608700898651e+06 -1.4116362468290960e+06 -1.4079447109614711e+06 -1.4038286641754457e+06 -1.3992248569170095e+06 -1.3940627369241810e+06 -1.3882673576238994e+06 -1.3817580395848684e+06 -1.3744515821562007e+06 -1.3662645483410421e+06 -1.3571174090254183e+06 -1.3469600065267023e+06 -1.3357026242615886e+06 -1.3233464295381110e+06 -1.3099200163957307e+06 -1.2955286908478262e+06 -1.2803516603623796e+06 -1.2647300715107254e+06 -1.2491832989906282e+06 -1.2344853420396247e+06 -1.2217617935370202e+06 -1.2126154708682336e+06 -1.2093385070478837e+06 -1.2152229447428351e+06 -1.2350978349015063e+06 -1.2762786474016609e+06 -1.3503536270723278e+06 -1.4767433258700659e+06 3.7776910859828487e+04 +1.1932125481522390e-02 7.4380081658807947e+04 2.4070769841214837e+05 5.2567897552036983e+05 8.9477742365958379e+05 1.2539314946280862e+06 1.4615321614125264e+06 1.4540263550792215e+06 1.3360243157558157e+06 1.2143812785101631e+06 1.1104858072269089e+06 1.0113783603581238e+06 9.1527118937344453e+05 8.2478696340597689e+05 7.4082353564773558e+05 6.6313494977392198e+05 5.9217823974554648e+05 5.2825606181878597e+05 4.7092114608673751e+05 4.1954125313107885e+05 3.7351864883691631e+05 3.3233020416540722e+05 2.9587128426052892e+05 2.6720798140915792e+05 2.5262944914063800e+05 2.4035127150590395e+05 2.1856757839408898e+05 1.9428211401140332e+05 1.7189713804076039e+05 1.5189374777593193e+05 1.3408512280492089e+05 1.1824739692693406e+05 1.0417478698480110e+05 9.1681571793311537e+04 8.0600303618336548e+04 7.0779880261295548e+04 6.2083740950046573e+04 5.4388237796866211e+04 4.7581146989216671e+04 4.1560321879403884e+04 3.6232455588884528e+04 3.1182433552372790e+04 2.6736143415884908e+04 2.2803580893771650e+04 1.9301102119700427e+04 1.6150273750947832e+04 1.3276758327799060e+04 1.0609173033938196e+04 8.0778250323136772e+03 5.6131906895747989e+03 3.1438945999691705e+03 5.9363152788627531e+02 -2.1217184352896957e+03 -5.0997016226751903e+03 -8.4622112435402687e+03 -1.2365731430978190e+04 -1.7021467413888498e+04 -2.2725070851217024e+04 -2.9904402636799263e+04 -3.9196758722989194e+04 -5.1572794419002850e+04 -6.8532942360865185e+04 -9.2378383507826831e+04 -1.2650123704658631e+05 -1.7547549837445797e+05 -2.4458043643695003e+05 -3.3842328301382734e+05 -4.5881190649033024e+05 -6.0276246297371387e+05 -7.6182046359707240e+05 -9.2348874689981306e+05 -1.0742840199081379e+06 -1.2031083549989208e+06 -1.3036082348425984e+06 -1.3748978204603826e+06 -1.4203725878430346e+06 -1.4459801511409285e+06 -1.4581693320386624e+06 -1.4624640344832274e+06 -1.4627530278468679e+06 -1.4618122781101100e+06 -1.4604336074872755e+06 -1.4588406951264655e+06 -1.4570991555934760e+06 -1.4552789330038156e+06 -1.4533571518636234e+06 -1.4513362088292476e+06 -1.4491349314920267e+06 -1.4467787779174000e+06 -1.4442243911716908e+06 -1.4414378590235354e+06 -1.4383779744703635e+06 -1.4349983296012997e+06 -1.4312456994106884e+06 -1.4270615343293583e+06 -1.4223815353251135e+06 -1.4171339837793226e+06 -1.4112426925637212e+06 -1.4046256471808958e+06 -1.3971982700977768e+06 -1.3888757433427640e+06 -1.3795772212668888e+06 -1.3692517180050006e+06 -1.3578080295855976e+06 -1.3452473438532187e+06 -1.3315987278732338e+06 -1.3169692305892976e+06 -1.3015410253463690e+06 -1.2856609044513269e+06 -1.2698568377555234e+06 -1.2549156356306425e+06 -1.2419815167183361e+06 -1.2326838255853949e+06 -1.2293526286417092e+06 -1.2353344515588833e+06 -1.2555382636344826e+06 -1.2974006024085123e+06 -1.3727014902846434e+06 -1.5011828790254297e+06 3.8242601661836765e+04 +1.2005666013141431e-02 7.4038642815851403e+04 2.4018149348304319e+05 5.2483745500663563e+05 8.9352937780290609e+05 1.2522935266935558e+06 1.4596811784996502e+06 1.4522057605751692e+06 1.3343555778456687e+06 1.2128668714862864e+06 1.1091054406278713e+06 1.0101252491514906e+06 9.1413987651601480e+05 8.2376898316225596e+05 7.3990939435950725e+05 6.6231532958848728e+05 5.9144351412138261e+05 5.2759662041568523e+05 4.7032812264717702e+05 4.1900666797214502e+05 3.7303534930184984e+05 3.3189177816858108e+05 2.9547184842217964e+05 2.6684116445545846e+05 2.5228855606276414e+05 2.4003589544488321e+05 2.1827972246020436e+05 1.9401954076770158e+05 1.7165605619150231e+05 1.5167055529343369e+05 1.3387661314213806e+05 1.1805073133656099e+05 1.0398745319169546e+05 9.1501344826621294e+04 8.0425209302099785e+04 7.0608160968256023e+04 6.1913823157216793e+04 5.4218700993038976e+04 4.7410693430569168e+04 4.1387746761203845e+04 3.6056617053520458e+04 3.1001852001925636e+04 2.6549535625174565e+04 2.2609615705859116e+04 1.9098349135653127e+04 1.5937144927501065e+04 1.3051439684715640e+04 1.0369542741944317e+04 7.8213528685978745e+03 5.3368117790140814e+03 2.8438493981450338e+03 2.6525059374889929e+02 -2.4842821988094483e+03 -5.5038395057437938e+03 -8.9174098775631192e+03 -1.2884312959696070e+04 -1.7619716556367217e+04 -2.3424918287926248e+04 -3.0736032381965735e+04 -4.0202681139951892e+04 -5.2814219026034240e+04 -7.0099565890516649e+04 -9.4402355775780044e+04 -1.2917430870736700e+05 -1.7906403579455530e+05 -2.4942764287744998e+05 -3.4492603623474925e+05 -4.6736661539011489e+05 -6.1368964195219602e+05 -7.7529102757745108e+05 -9.3947976378481765e+05 -1.0925796066705410e+06 -1.2233437681550500e+06 -1.3253411049506250e+06 -1.3976850786069199e+06 -1.4438284747018658e+06 -1.4698101171329757e+06 -1.4821751848141693e+06 -1.4865293648544366e+06 -1.4868187869668987e+06 -1.4858614025622404e+06 -1.4844595894345928e+06 -1.4828403079590034e+06 -1.4810700669794648e+06 -1.4792198857261937e+06 -1.4772664853653763e+06 -1.4752122958889836e+06 -1.4729748047841662e+06 -1.4705798897291876e+06 -1.4679834802232066e+06 -1.4651511062722886e+06 -1.4620408830332567e+06 -1.4586056390082343e+06 -1.4547912732076547e+06 -1.4505382747739037e+06 -1.4457812842525714e+06 -1.4404474043947055e+06 -1.4344591944929648e+06 -1.4277332909732002e+06 -1.4201837249630231e+06 -1.4117242830243844e+06 -1.4022727891612977e+06 -1.3917774205830474e+06 -1.3801454703892216e+06 -1.3673781471478594e+06 -1.3535049959102871e+06 -1.3386348268534681e+06 -1.3229528103240998e+06 -1.3068114436307461e+06 -1.2907473820083900e+06 -1.2755603813895651e+06 -1.2624134817575912e+06 -1.2529628332814297e+06 -1.2495768339511980e+06 -1.2556570643210474e+06 -1.2761932509188459e+06 -1.3187442697535865e+06 -1.3952839337960589e+06 -1.5258789679427445e+06 3.8714024462611313e+04 +1.2079659792574466e-02 7.3694374182932632e+04 2.3965267835128831e+05 5.2399369726520125e+05 8.9227953913091554e+05 1.2506540938183425e+06 1.4578286832457008e+06 1.4503832612152814e+06 1.3326844261560088e+06 1.2113495663760442e+06 1.1077217307641038e+06 1.0088683871585601e+06 9.1300444748938631e+05 8.2274657032457995e+05 7.3899055205433664e+05 6.6149078830175358e+05 5.9070369191311637e+05 5.2693194564962341e+05 4.6972976286417217e+05 4.1846667285657325e+05 3.7254659174155194e+05 3.3144786808308261e+05 2.9506691772144753e+05 2.6646881829733984e+05 2.5194198700588700e+05 2.3971466825422077e+05 2.1798595211581091e+05 1.9375105843954434e+05 1.7140909547713280e+05 1.5144152833232196e+05 1.3366232375112883e+05 1.1784834824120990e+05 1.0379446897298982e+05 9.1315536948017718e+04 8.0244603757792182e+04 7.0430998164182965e+04 6.1738525568501500e+04 5.4043842141944442e+04 4.7234967684939649e+04 4.1209939518453932e+04 3.5875574728824118e+04 3.0816081767394633e+04 2.6357735831203467e+04 2.2410433979527199e+04 1.8890330781300323e+04 1.5718674118208823e+04 1.2820670603745051e+04 1.0124316879443812e+04 7.5590973621971152e+03 5.0544115656376007e+03 2.5374849636643116e+03 -6.9820530750822897e+01 -2.8539975281737911e+03 -5.9157041824437856e+03 -9.3810567081963909e+03 -1.3412254310815340e+04 -1.8228488870391306e+04 -2.4136790982186329e+04 -3.1581654227073486e+04 -4.1225213042124051e+04 -5.4075797008086432e+04 -7.1691217757048726e+04 -9.6458125417835588e+04 -1.3188854408798483e+05 -1.8270642043295113e+05 -2.5434518323627542e+05 -3.5151936447634571e+05 -4.7603512747139356e+05 -6.2475542947042547e+05 -7.8892483855266823e+05 -9.5565683025695884e+05 -1.1110809335478703e+06 -1.2438007681925301e+06 -1.3473073940729876e+06 -1.4207138872147449e+06 -1.4675309660178686e+06 -1.4938894506670116e+06 -1.5064316456395101e+06 -1.5108456543999545e+06 -1.5111354057124457e+06 -1.5101611854252093e+06 -1.5087359775002024e+06 -1.5070900481548447e+06 -1.5052908053744161e+06 -1.5034103528948203e+06 -1.5014250037092585e+06 -1.4993372212452330e+06 -1.4970631389496883e+06 -1.4946290584387875e+06 -1.4919901882073483e+06 -1.4891114946877849e+06 -1.4859504081300478e+06 -1.4824589854869954e+06 -1.4785822406725688e+06 -1.4742596914626651e+06 -1.4694249070105215e+06 -1.4640037991201824e+06 -1.4579176604350528e+06 -1.4510817642459197e+06 -1.4434087358437339e+06 -1.4348109517755755e+06 -1.4252048918475085e+06 -1.4145378875668859e+06 -1.4027157135161101e+06 -1.3897395991717596e+06 -1.3756395725494747e+06 -1.3605262234175168e+06 -1.3445877503603876e+06 -1.3281824151461187e+06 -1.3118556489196047e+06 -1.2964202880480799e+06 -1.2830583900803092e+06 -1.2734531901317486e+06 -1.2700118172701020e+06 -1.2761914807038174e+06 -1.2970635058360086e+06 -1.3403103821642897e+06 -1.4181017328611813e+06 -1.5508324404199338e+06 3.9191249652078390e+04 +1.2154109613295739e-02 7.3347239109640956e+04 2.3912121187677572e+05 5.2314766243325785e+05 8.9102787206426403e+05 1.2490131565870598e+06 1.4559746511712272e+06 1.4485588329856948e+06 1.3310108381965428e+06 1.2098293486966318e+06 1.1063346667898751e+06 1.0076077680073840e+06 9.1186489921100135e+05 8.2171972443668928e+05 7.3806701007606648e+05 6.6066132868297223e+05 5.8995877669288544e+05 5.2626204159157199e+05 4.6912607089603791e+05 4.1792127172920649e+05 3.7205237961499451e+05 3.3099847664912586e+05 2.9465649403870502e+05 2.6609094437584496e+05 2.5158974463891139e+05 2.3938759411408051e+05 2.1768627130530158e+05 1.9347666973508176e+05 1.7115625703549033e+05 1.5120666627664288e+05 1.3344225212401463e+05 1.1764024313439624e+05 1.0359582774159305e+05 9.1124139428717928e+04 8.0058476070672390e+04 7.0248378716134466e+04 6.1557832808501698e+04 5.3863643605070596e+04 4.7053949829531710e+04 4.1026877917937607e+04 3.5689304034646389e+04 3.0625095689393529e+04 2.6160714210775546e+04 2.2206003110109901e+04 1.8677011511589804e+04 1.5494822628267393e+04 1.2584408971119765e+04 9.8734495743074604e+03 7.2910084617377370e+03 4.7659353038075396e+03 2.2247412310684867e+03 -4.1164799279450295e+02 -3.2309375893740116e+03 -6.3353770139593462e+03 -9.8532428134295096e+03 -1.3949658293741644e+04 -1.8847901621232966e+04 -2.4860824394835174e+04 -3.2441427024707376e+04 -4.2264543954258566e+04 -5.5357758763190817e+04 -7.3308183262976716e+04 -9.8546050943685201e+04 -1.3464439636090945e+05 -1.8640322081929486e+05 -2.5933375457042942e+05 -3.5820409172709781e+05 -4.8481837368750374e+05 -6.3596082819199190e+05 -8.0272292928788695e+05 -9.7202097198975936e+05 -1.1297889940882658e+06 -1.2644803058673369e+06 -1.3695080113370821e+06 -1.4439851217979891e+06 -1.4914809137110999e+06 -1.5182189889721514e+06 -1.5309395434334532e+06 -1.5354137275810889e+06 -1.5357037060495783e+06 -1.5347124474282940e+06 -1.5332635913555305e+06 -1.5315907343893822e+06 -1.5297621884445285e+06 -1.5278511511439178e+06 -1.5258335224523754e+06 -1.5237117993187876e+06 -1.5214007471726027e+06 -1.5189270959101918e+06 -1.5162453255558594e+06 -1.5133198331352300e+06 -1.5101073569085998e+06 -1.5065591742913572e+06 -1.5026194049551960e+06 -1.4982265851974352e+06 -1.4933132017743441e+06 -1.4878039631823455e+06 -1.4816188823111444e+06 -1.4746718552069135e+06 -1.4668740867797555e+06 -1.4581365289679458e+06 -1.4483743034787166e+06 -1.4375338873144209e+06 -1.4255195209016171e+06 -1.4123324548103327e+06 -1.3980032050192517e+06 -1.3826441592990970e+06 -1.3664465758158001e+06 -1.3497745404457347e+06 -1.3331823510698623e+06 -1.3174960598019534e+06 -1.3039169386271136e+06 -1.2941555878583402e+06 -1.2906582684511216e+06 -1.2969383939147308e+06 -1.3181497329356740e+06 -1.3620996676770460e+06 -1.4411556577665531e+06 -1.5760441388297882e+06 3.9674348481529436e+04 +1.2229018285996339e-02 7.2997202212495438e+04 2.3858706352775515e+05 5.2229932452924561e+05 8.8977433784793259e+05 1.2473706787621051e+06 1.4541190620490317e+06 1.4467324621020856e+06 1.3293348019276750e+06 1.2083062045210651e+06 1.1049442375825786e+06 1.0063433840468279e+06 9.1072122805105371e+05 8.2068844404545322e+05 7.3713876873178524e+05 6.5982695243850187e+05 5.8920877102913242e+05 5.2558691134093469e+05 4.6851704992392578e+05 4.1737046756869060e+05 3.7155271543104196e+05 3.3054360567409702e+05 2.9424057833968784e+05 2.6570754323292623e+05 2.5123183072715774e+05 2.3905467629546701e+05 2.1738068308158044e+05 1.9319637650035354e+05 1.7089754117485028e+05 1.5096596771424651e+05 1.3321639499220956e+05 1.1742641078398495e+05 1.0339152221951880e+05 9.0927142883322638e+04 7.9866814702319272e+04 7.0060288898870771e+04 6.1371728939175089e+04 5.3678087208983503e+04 4.6867619432196370e+04 4.0838539239759164e+04 3.5497779924601564e+04 3.0428866161012127e+04 2.5958440508316617e+04 2.1996290072040847e+04 1.8458355367756059e+04 1.5265551351811333e+04 1.2342612259267587e+04 9.6168945314258490e+03 7.0170356761222947e+03 4.4713277820719586e+03 1.9055576315757273e+03 -7.6029849417994035e+02 -3.6151761705495132e+03 -6.7629400699281387e+03 -1.0334060087813237e+04 -1.4496628668075991e+04 -1.9478073189570910e+04 -2.5597155307893587e+04 -3.3315511208323151e+04 -4.3320865314618401e+04 -5.6660337031712479e+04 -7.4950750600226529e+04 -1.0066649442052106e+05 -1.3744232300218724e+05 -1.9015501049219724e+05 -2.6439405942611408e+05 -3.6498104752069042e+05 -4.9371729004401702e+05 -6.4730684479618631e+05 -8.1668633512519766e+05 -9.8857321560459340e+05 -1.1487047811826996e+06 -1.2853833298694671e+06 -1.3919438626911771e+06 -1.4674996538864505e+06 -1.5156791652053602e+06 -1.5427995644791934e+06 -1.5556997021655198e+06 -1.5602344038455468e+06 -1.5605245049111128e+06 -1.5595160042590038e+06 -1.5580432456367174e+06 -1.5563431803086605e+06 -1.5544850288316817e+06 -1.5525430920962538e+06 -1.5504928521408774e+06 -1.5483368395290871e+06 -1.5459884376435296e+06 -1.5434748090181660e+06 -1.5407496977196194e+06 -1.5377769255129588e+06 -1.5345125315601104e+06 -1.5309070057278874e+06 -1.5269035642674100e+06 -1.5224397518564132e+06 -1.5174469618120703e+06 -1.5118486869261097e+06 -1.5055636471783116e+06 -1.4985043472233750e+06 -1.4905805569945199e+06 -1.4817017891834744e+06 -1.4717817934513879e+06 -1.4607661834609145e+06 -1.4485576498015951e+06 -1.4351574643138195e+06 -1.4205966359547873e+06 -1.4049893689783928e+06 -1.3885300125657856e+06 -1.3715885365484720e+06 -1.3547281966651862e+06 -1.3387883965219639e+06 -1.3249898200528857e+06 -1.3150707139313139e+06 -1.3115168731085171e+06 -1.3178984929057655e+06 -1.3394526324321588e+06 -1.3841128498534968e+06 -1.4644464740680675e+06 -1.6015149003681096e+06 4.0163393074108171e+04 +1.2304388638690315e-02 7.2644224587820223e+04 2.3805019473291023e+05 5.2144863493706274e+05 8.8851890996194154e+05 1.2457266297686216e+06 1.4522618767854862e+06 1.4449041167265759e+06 1.3276562968311936e+06 1.2067801163913300e+06 1.1035504336813209e+06 1.0050752268214613e+06 9.0957342910888349e+05 8.1965272654174571e+05 7.3620582731802261e+05 6.5898766024461051e+05 5.8845367649980215e+05 5.2490655702066398e+05 4.6790270215601014e+05 4.1681426238878653e+05 3.7104760074891470e+05 3.3008325603183877e+05 2.9381917067422369e+05 2.6531861450776138e+05 2.5086824612982495e+05 2.3871591715828047e+05 2.1706918960277300e+05 1.9291017971463656e+05 1.7063294736849901e+05 1.5071943043234723e+05 1.3298474831984894e+05 1.1720684522520509e+05 1.0318154443050249e+05 9.0724537261403617e+04 7.9669607481389190e+04 6.9866714385173720e+04 6.1180197449594387e+04 5.3487154234537877e+04 4.6675955539871451e+04 4.0644900265754804e+04 3.5300976873874861e+04 3.0227365115066983e+04 2.5750884022835791e+04 2.1781261405323181e+04 1.8234325963564319e+04 1.5030820757761805e+04 1.2095237512358401e+04 9.3546050181172086e+03 6.7371280597678979e+03 4.1705333082463758e+03 1.5798730779882601e+03 -1.1158393066001822e+03 -4.0067876975672129e+03 -7.1984761445727936e+03 -1.0823601259403631e+04 -1.5053270162021794e+04 -2.0119123091766829e+04 -2.6345921847366364e+04 -3.4204068818435480e+04 -4.4394370505826999e+04 -5.7983766933228530e+04 -7.6619210894161544e+04 -1.0281982152608619e+05 -1.4028278585312862e+05 -1.9396236807059750e+05 -2.6952680591868720e+05 -3.7185106702333840e+05 -5.0273281769415108e+05 -6.5879449008797680e+05 -8.3081609410742100e+05 -1.0053145888171652e+06 -1.1678292872364481e+06 -1.3065107870220139e+06 -1.4146158511174493e+06 -1.4912583512603920e+06 -1.5401265636612468e+06 -1.5676320050625873e+06 -1.5807129410992060e+06 -1.5853084978697139e+06 -1.5855986144385040e+06 -1.5845726668181559e+06 -1.5830757501911146e+06 -1.5813481947734726e+06 -1.5794601344020520e+06 -1.5774869825973071e+06 -1.5754037985550258e+06 -1.5732131465329228e+06 -1.5708270138002278e+06 -1.5682729998976227e+06 -1.5655041054131372e+06 -1.5624835709920495e+06 -1.5591667295581158e+06 -1.5555032753964618e+06 -1.5514355121293573e+06 -1.5468999826382650e+06 -1.5418269757266408e+06 -1.5361387560441520e+06 -1.5297527374641057e+06 -1.5225800190558538e+06 -1.5145289211297778e+06 -1.5055075024478894e+06 -1.4954281266383710e+06 -1.4842355351547510e+06 -1.4718308530158561e+06 -1.4582153735203405e+06 -1.4434206036279108e+06 -1.4275625826124579e+06 -1.4108387822142097e+06 -1.3936251162528293e+06 -1.3764938897429758e+06 -1.3602979939613617e+06 -1.3462777229417358e+06 -1.3361992517810196e+06 -1.3325883128231051e+06 -1.3390724625738810e+06 -1.3609729004251743e+06 -1.4063506480022382e+06 -1.4879749428228915e+06 -1.6272455573077174e+06 4.0658456435419292e+04 +1.2380223516821443e-02 7.2288269734258196e+04 2.3751056486663039e+05 5.2059556822215288e+05 8.8726154599956318e+05 1.2440809734440590e+06 1.4504030706431207e+06 1.4430737709782980e+06 1.3259753001501116e+06 1.2052510677724343e+06 1.1021532421267543e+06 1.0038032866535051e+06 9.0842149602051859e+05 8.1861256818176864e+05 7.3526818419802841e+05 6.5814345179902844e+05 5.8769349371243420e+05 5.2422097976966924e+05 4.6728302882943221e+05 4.1625265723809740e+05 3.7053703617686179e+05 3.2961742766058393e+05 2.9339227017444582e+05 2.6492415693636140e+05 2.5049899079829192e+05 2.3837131814812112e+05 2.1675179212922114e+05 1.9261807948697562e+05 1.7036247425080088e+05 1.5046705141119298e+05 1.3274730729839220e+05 1.1698153975373058e+05 1.0296588569193984e+05 9.0516311839097136e+04 7.9466841594896614e+04 6.9667640236229025e+04 6.0983221245876382e+04 5.3290825406069693e+04 4.6478936667398739e+04 4.0445937267581925e+04 3.5098868866901648e+04 3.0020564011521754e+04 2.5538013594855722e+04 2.1560883202156172e+04 1.8004886471518479e+04 1.4790590875747232e+04 1.1842241331949315e+04 9.0865338495497035e+03 6.4512341977624210e+03 3.8634956943716179e+03 1.2476259494864216e+03 -1.4783382870724554e+03 -4.4058472497919256e+03 -7.6420687730168183e+03 -1.1321959906990414e+04 -1.5619688490864037e+04 -2.0771172000374900e+04 -2.7107263506440639e+04 -3.5107263529645803e+04 -4.5485254886359369e+04 -5.9328286004101828e+04 -7.8313858248992648e+04 -1.0500640160282659e+05 -1.4316625118414970e+05 -1.9782587732549975e+05 -2.7473270781050494e+05 -3.7881499111978168e+05 -5.1186590303571604e+05 -6.7042477910659823e+05 -8.4511324711174308e+05 -1.0222461205868528e+06 -1.1871635043448149e+06 -1.3278636224730490e+06 -1.4375248768461687e+06 -1.5152620781760418e+06 -1.5648239482190129e+06 -1.5927171342804588e+06 -1.6059800750359884e+06 -1.6106368198081774e+06 -1.6109268422307880e+06 -1.6098832414581438e+06 -1.6083619103195465e+06 -1.6066065821081926e+06 -1.6046883084871420e+06 -1.6026836249670563e+06 -1.6005671629504072e+06 -1.5983415204705896e+06 -1.5959172745695997e+06 -1.5933224661712581e+06 -1.5905093448570194e+06 -1.5874405642549037e+06 -1.5840707439002795e+06 -1.5803487744311064e+06 -1.5762160376056633e+06 -1.5716080643000836e+06 -1.5664540276959094e+06 -1.5606749518186511e+06 -1.5541869312037588e+06 -1.5468996450898270e+06 -1.5387199494795634e+06 -1.5295544344670726e+06 -1.5193140636168546e+06 -1.5079426972785052e+06 -1.4953398791192872e+06 -1.4815069240778994e+06 -1.4664758421628759e+06 -1.4503645262641427e+06 -1.4333736023147996e+06 -1.4158849883604334e+06 -1.3984801303888850e+06 -1.3820255439693218e+06 -1.3677813320110145e+06 -1.3575418809968755e+06 -1.3538732653515353e+06 -1.3604609839733741e+06 -1.3827112291070526e+06 -1.4288137773945904e+06 -1.5117418208124628e+06 -1.6532369372508484e+06 4.1159612464266203e+04 +1.2456525783370640e-02 7.1929299755675675e+04 2.3696814066295000e+05 5.1974006791290879e+05 8.8600220810066210e+05 1.2424336829676968e+06 1.4485426044102735e+06 1.4412414010346408e+06 1.3242917834589779e+06 1.2037190420085043e+06 1.1007526473405780e+06 1.0025275537007987e+06 9.0726542146480561e+05 8.1756796426439972e+05 7.3432583686088945e+05 6.5729432586276135e+05 5.8692822231819201e+05 5.2353017973633710e+05 4.6665803021340008e+05 4.1568565220045426e+05 3.7002102137473132e+05 3.2914611956272798e+05 2.9295987505404261e+05 2.6452416834869736e+05 2.5012406377347783e+05 2.3802087979437396e+05 2.1642849101988817e+05 1.9232007505229546e+05 1.7008611961185327e+05 1.5020882681940650e+05 1.3250406633951358e+05 1.1675048691891359e+05 1.0274453660783140e+05 9.0302455210911183e+04 7.9258503579145719e+04 6.9463050892167681e+04 6.0780782640852951e+04 5.3089080880764552e+04 4.6276540786273566e+04 4.0241625995238945e+04 3.4891429385405107e+04 2.9808433824998403e+04 2.5319797593461957e+04 2.1335121093512425e+04 1.7769999609092949e+04 1.4544821282044937e+04 1.1583579862634180e+04 8.8126333740516748e+03 6.1593021909771387e+03 3.5501582416013439e+03 9.0875407631247492e+02 -1.8478638935052090e+03 -4.8124305760213010e+03 -8.0938022478128332e+03 -1.1829230477554507e+04 -1.6195990375866324e+04 -2.1434341764856737e+04 -2.7881321168990940e+04 -3.6025260677639635e+04 -4.6593715822427766e+04 -6.0694134235350910e+04 -8.0034989793201574e+04 -1.0722660771212913e+05 -1.4609318975838870e+05 -2.0174612725340377e+05 -2.8001248459235852e+05 -3.8587366650215205e+05 -5.2111749780653260e+05 -6.8219873123674898e+05 -8.5957883797308896e+05 -1.0393688412686194e+06 -1.2067084244675620e+06 -1.3494427798956537e+06 -1.4606718375743146e+06 -1.5395116955916467e+06 -1.5897721542226684e+06 -1.6180557716220748e+06 -1.6315019145617418e+06 -1.6362201755370866e+06 -1.6365099915875045e+06 -1.6354485302315897e+06 -1.6339025270306973e+06 -1.6321191423374829e+06 -1.6301703501236457e+06 -1.6281338172354889e+06 -1.6259837423053582e+06 -1.6237227572121632e+06 -1.6212600146135355e+06 -1.6186240012144386e+06 -1.6157662080198631e+06 -1.6126486957422483e+06 -1.6092253633479902e+06 -1.6054442897414234e+06 -1.6012459255479285e+06 -1.5965647793960420e+06 -1.5913288977101084e+06 -1.5854580513651220e+06 -1.5788670022797612e+06 -1.5714639955786809e+06 -1.5631544082223326e+06 -1.5538433468555945e+06 -1.5434403609027995e+06 -1.5318884206854147e+06 -1.5190854726900151e+06 -1.5050328536787806e+06 -1.4897630817668806e+06 -1.4733959221118721e+06 -1.4561351865926620e+06 -1.4383688578845975e+06 -1.4206876149540904e+06 -1.4039717346985475e+06 -1.3895013283224879e+06 -1.3790992775427117e+06 -1.3753724048300614e+06 -1.3820647345190796e+06 -1.4046683069735537e+06 -1.4515029494806789e+06 -1.5357478607781918e+06 -1.6794898633785134e+06 4.1666935963522563e+04 +1.2533298318964062e-02 7.1567274971804960e+04 2.3642287946657839e+05 5.1888211732474784e+05 8.8474086077644187e+05 1.2407847063611923e+06 1.4466804476137985e+06 1.4394069819068664e+06 1.3226057302318651e+06 1.2021840185331735e+06 1.0993486346399013e+06 1.0012480177056845e+06 9.0610519768468372e+05 8.1651890931561985e+05 7.3337878189753939e+05 6.5644028026228503e+05 5.8615786102003441e+05 5.2283415607634932e+05 4.6602770560608734e+05 4.1511324639529781e+05 3.6949955504776206e+05 3.2866932980417745e+05 2.9252198260614730e+05 2.6411864566702780e+05 2.4974346318336588e+05 2.3766460170723795e+05 2.1609928573007594e+05 1.9201616476708860e+05 1.6980388039340556e+05 1.4994475200795248e+05 1.3225501907004477e+05 1.1651367851701876e+05 1.0251748706078438e+05 9.0082955281485876e+04 7.9044579310886402e+04 6.9252930162722696e+04 6.0572863344299185e+04 5.2881900238211354e+04 4.6068745313732572e+04 4.0031941665325576e+04 3.4678631396298289e+04 2.9590945032112755e+04 2.5096203903328787e+04 2.1103940235914906e+04 1.7529627625183708e+04 1.4293471085558116e+04 1.1319208777653939e+04 8.5328554584521116e+03 5.8612796411245308e+03 3.2304637250385949e+03 5.6319472434753357e+02 -2.2244852004101454e+03 -5.2266141106066116e+03 -8.5537616356788385e+03 -1.2345508303911267e+04 -1.6782283563254481e+04 -2.2108755432726888e+04 -2.8668237133261347e+04 -3.6958227286478454e+04 -4.7719952720137670e+04 -6.2081554111344572e+04 -8.1782905725744233e+04 -1.0948081668938657e+05 -1.4906407689622519e+05 -2.0572371214902925e+05 -2.8536686156572995e+05 -3.9302794575829455e+05 -5.3048855918415380e+05 -6.9411737031791720e+05 -8.7421391361349763e+05 -1.0566837827659110e+06 -1.2264650396021900e+06 -1.3712492016820463e+06 -1.4840576286763202e+06 -1.5640080614015055e+06 -1.6149720134731289e+06 -1.6436487327443357e+06 -1.6572792662899734e+06 -1.6620593668976803e+06 -1.6623488617558053e+06 -1.6612693311352981e+06 -1.6596983972730287e+06 -1.6578866714438987e+06 -1.6559070543101830e+06 -1.6538383533987277e+06 -1.6516543295667155e+06 -1.6493576485956898e+06 -1.6468560245706621e+06 -1.6441783943776339e+06 -1.6412754828608085e+06 -1.6381087518944303e+06 -1.6346313726730887e+06 -1.6307906042528192e+06 -1.6265259568379743e+06 -1.6217709065247322e+06 -1.6164523618107731e+06 -1.6104888278605011e+06 -1.6037937206573905e+06 -1.5962738368778396e+06 -1.5878330596593581e+06 -1.5783749973750322e+06 -1.5678077711864801e+06 -1.5560734524318913e+06 -1.5430683745397611e+06 -1.5287938962784321e+06 -1.5132830489481071e+06 -1.4966574886878179e+06 -1.4791242451550895e+06 -1.4610774262728677e+06 -1.4431170362599490e+06 -1.4261372508232831e+06 -1.4114383894911478e+06 -1.4008721139627341e+06 -1.3970864019835109e+06 -1.4038843882031392e+06 -1.4268448190369662e+06 -1.4744188721105040e+06 -1.5599938116531512e+06 -1.7060051547059193e+06 4.2180502651127361e+04 +1.2610544021981848e-02 7.1202156532871988e+04 2.3587474322371153e+05 5.1802166376065620e+05 8.8347746262292564e+05 1.2391340301391762e+06 1.4448165721610775e+06 1.4375704848068939e+06 1.3209171166354620e+06 1.2006459810739101e+06 1.0979411904261962e+06 9.9996466743470053e+05 9.0494081630073930e+05 8.1546539711607620e+05 7.3242701490016666e+05 6.5558131187644729e+05 5.8538240756551013e+05 5.2213290695884125e+05 4.6539205333375034e+05 4.1453543797810673e+05 3.6897263494893629e+05 3.2818705551121233e+05 2.9207858920213871e+05 2.6370758490321593e+05 2.4935718624099705e+05 2.3730248257552431e+05 2.1576417480714060e+05 1.9170634610587059e+05 1.6951575268426677e+05 1.4967482150526039e+05 1.3200015832519950e+05 1.1627110558446373e+05 1.0228472620491023e+05 8.9857799257641396e+04 7.8825053998754403e+04 6.9037261217644642e+04 6.0359444452858414e+04 5.2669262469722074e+04 4.5855527101725260e+04 3.9816858949691814e+04 3.4460447339873899e+04 2.9368067599325594e+04 2.4867199912031756e+04 2.0867305298135572e+04 1.7283732286286642e+04 1.4036498913790752e+04 1.1049083264557770e+04 8.2471514734202792e+03 5.5571136357788419e+03 2.9043543784722101e+03 2.1088457957446340e+02 -2.6082719147477578e+03 -5.6484749897137935e+03 -9.0220327943682732e+03 -1.2870889622557745e+04 -1.7378676843604819e+04 -2.2794537270819332e+04 -2.9468155136101075e+04 -3.7906332096598329e+04 -4.8864167058183462e+04 -6.3490790648334259e+04 -8.3557909362737206e+04 -1.1176940920004067e+05 -1.5207939254048321e+05 -2.0975923167973373e+05 -2.9079656992292462e+05 -4.0027868746114336e+05 -5.3998004988347355e+05 -7.0618172475669684e+05 -8.8901952417416836e+05 -1.0741919786789909e+06 -1.2464343419569056e+06 -1.3932838291416152e+06 -1.5076831434191645e+06 -1.5887520306597305e+06 -1.6404243544581006e+06 -1.6694968297191472e+06 -1.6833129331100758e+06 -1.6881551919502015e+06 -1.6884442481819501e+06 -1.6873464383631367e+06 -1.6857503141957780e+06 -1.6839099616023616e+06 -1.6818992122467924e+06 -1.6797980236609839e+06 -1.6775797138880331e+06 -1.6752469826817759e+06 -1.6727060913049842e+06 -1.6699864312436590e+06 -1.6670379535787355e+06 -1.6638215153946537e+06 -1.6602895528962822e+06 -1.6563884971528740e+06 -1.6520569086219131e+06 -1.6472272205608108e+06 -1.6418251923326373e+06 -1.6357680507909392e+06 -1.6289678526209740e+06 -1.6213299316793068e+06 -1.6127566624518954e+06 -1.6031501401661797e+06 -1.5924170435591096e+06 -1.5804985360008462e+06 -1.5672893219404055e+06 -1.5527907823292657e+06 -1.5370364667479314e+06 -1.5201499410873069e+06 -1.5023414847242357e+06 -1.4840113916201736e+06 -1.4657690838234078e+06 -1.4485227737415673e+06 -1.4335931898933966e+06 -1.4228610595837678e+06 -1.4190159243327975e+06 -1.4259206157920323e+06 -1.4492414470338821e+06 -1.4975622497542198e+06 -1.5844804187885092e+06 -1.7327836263365068e+06 4.2700389171220682e+04 +1.2688265808667545e-02 7.0833905784197181e+04 2.3532369431423955e+05 5.1715866885558947e+05 8.8221197294176091e+05 1.2374816034880376e+06 1.4429509557573774e+06 1.4357318775708443e+06 1.3192259205907383e+06 1.1991049132077401e+06 1.0965303001120668e+06 9.9867749036996288e+05 9.0377226785461721e+05 8.1440742058401392e+05 7.3147053040605423e+05 6.5471741662480880e+05 5.8460185873416311e+05 5.2142642957493925e+05 4.6475107074471272e+05 4.1395222414133354e+05 3.6844025787415047e+05 3.2769929287044675e+05 2.9162969028957147e+05 2.6329098115736042e+05 2.4896522924190597e+05 2.3693452016339355e+05 2.1542315588763120e+05 1.9139061565691131e+05 1.6922173171512585e+05 1.4939902901212560e+05 1.3173947614274127e+05 1.1602275839063672e+05 1.0204624245843320e+05 8.9626973640121476e+04 7.8599912174388432e+04 6.8816026577594937e+04 6.0140506440275778e+04 5.2451145968056546e+04 4.5636862425862462e+04 3.9596351964083435e+04 3.4236849117691796e+04 2.9139770970406673e+04 2.4632752497124562e+04 2.0625180447980223e+04 1.7032274863026054e+04 1.3773862898833393e+04 1.0773158010832354e+04 7.9554722787208875e+03 5.2467507333594667e+03 2.5717718790379631e+03 -1.4824026755807151e+02 -2.9992943919236077e+03 -6.0780910677734373e+03 -9.4987023898377338e+03 -1.3405471591880556e+04 -1.7985280071327110e+04 -2.3491812786908555e+04 -3.0281220377277081e+04 -3.8869745592805892e+04 -5.0026562421015085e+04 -6.4922091434251044e+04 -8.5360307184650374e+04 -1.1409276979546169e+05 -1.5513962132250908e+05 -2.1385329096038325e+05 -2.9630234683112672e+05 -4.0762675625888817e+05 -5.4959293825459247e+05 -7.1839282763915393e+05 -9.0399672314310772e+05 -1.0918944644553515e+06 -1.2666173241331163e+06 -1.4155476027014712e+06 -1.5315492731862625e+06 -1.6137444558152864e+06 -1.6661300025925662e+06 -1.6956008712758727e+06 -1.7096037144309743e+06 -1.7145084452153873e+06 -1.7147969427511222e+06 -1.7136806425435678e+06 -1.7120590673857690e+06 -1.7101898014368573e+06 -1.7081476115787423e+06 -1.7060136146729998e+06 -1.7037606808854486e+06 -1.7013915439902018e+06 -1.6988109981459160e+06 -1.6960488938712361e+06 -1.6930544008468178e+06 -1.6897877654124014e+06 -1.6862006815347127e+06 -1.6822387441296766e+06 -1.6778395545622671e+06 -1.6729344929029485e+06 -1.6674481581425038e+06 -1.6612964861880376e+06 -1.6543901610197970e+06 -1.6466330392543992e+06 -1.6379259718557778e+06 -1.6281695259878780e+06 -1.6172689237507868e+06 -1.6051644115383320e+06 -1.5917490488480916e+06 -1.5770242389988904e+06 -1.5610240549576273e+06 -1.5438739911943830e+06 -1.5257876088429843e+06 -1.5071714488877046e+06 -1.4886444440622430e+06 -1.4711289817964868e+06 -1.4559664008818872e+06 -1.4450667807297211e+06 -1.4411616364013194e+06 -1.4481740850436117e+06 -1.4718588696440475e+06 -1.5209337837168288e+06 -1.6092084241955425e+06 -1.7598260897136694e+06 4.3226673105408954e+04 +1.2766466613238202e-02 7.0462482189707676e+04 2.3476969042315759e+05 5.1629310009506886e+05 8.8094436414140987e+05 1.2358273781428658e+06 1.4410835491528567e+06 1.4338911342862754e+06 1.3175321194843769e+06 1.1975607919558941e+06 1.0951159478436888e+06 9.9738647280499572e+05 9.0259954177175823e+05 8.1334497167975677e+05 7.3050932194977184e+05 6.5384858945765730e+05 5.8381621033100761e+05 5.2071472014484491e+05 4.6410475420762075e+05 4.1336360111269081e+05 3.6790241966200602e+05 3.2720603712625487e+05 2.9117528039170790e+05 2.6286882861461071e+05 2.4856758756101617e+05 2.3656071130764825e+05 2.1507622569429036e+05 1.9106896911897056e+05 1.6892181185454168e+05 1.4911736739534998e+05 1.3147296375711419e+05 1.1576862643219229e+05 1.0180202349603336e+05 8.9390464215897868e+04 7.8369137683957815e+04 6.8589208104925754e+04 5.9916029147606736e+04 5.2227528517180828e+04 4.5412726974758581e+04 3.9370394256668616e+04 3.4007808081131843e+04 2.8906024054339101e+04 2.4392828013465049e+04 2.0377529339214267e+04 1.6775216116557971e+04 1.3505520663451904e+04 1.0491387189553803e+04 7.6577682085390852e+03 4.9301369480429430e+03 2.2326573318187520e+03 -5.1424433787664816e+02 -3.3976236518892506e+03 -6.5155409340910091e+03 -9.9838579135145537e+03 -1.3949352310403587e+04 -1.8602204184538481e+04 -2.4200708751571612e+04 -3.1107579544129487e+04 -3.9848640032815587e+04 -5.1207344532061419e+04 -6.6375706668275088e+04 -8.7190408884198361e+04 -1.1645128697036667e+05 -1.5824525262862028e+05 -2.1800650062890994e+05 -3.0188493551477167e+05 -4.1507302296522475e+05 -5.5932819838490884e+05 -7.3075171684326755e+05 -9.1914656748628244e+05 -1.1097922775485662e+06 -1.2870149792935015e+06 -1.4380414621001792e+06 -1.5556569076866491e+06 -1.6389861869403375e+06 -1.6920897804558787e+06 -1.7219616630463577e+06 -1.7361524064314694e+06 -1.7411199179217878e+06 -1.7414077340388512e+06 -1.7402727309947361e+06 -1.7386254431189641e+06 -1.7367269762556457e+06 -1.7346530366491908e+06 -1.7324859097896609e+06 -1.7301980128739772e+06 -1.7277921137443052e+06 -1.7251715251358890e+06 -1.7223665610321830e+06 -1.7193256020667560e+06 -1.7160082778470858e+06 -1.7123655328383129e+06 -1.7083421176159692e+06 -1.7038746650717703e+06 -1.6988934917096228e+06 -1.6933220248843483e+06 -1.6870748968676063e+06 -1.6800614054971761e+06 -1.6721839156850949e+06 -1.6633417399535784e+06 -1.6534339024415137e+06 -1.6423641543619498e+06 -1.6300718160863956e+06 -1.6164482861463793e+06 -1.6014949904101042e+06 -1.5852465303514428e+06 -1.5678303479081490e+06 -1.5494633181040487e+06 -1.5305582901211041e+06 -1.5117438005139509e+06 -1.4939565504830412e+06 -1.4785586909865104e+06 -1.4674899409297705e+06 -1.4635241999242317e+06 -1.4706454609135054e+06 -1.4946977626961528e+06 -1.5445341723606098e+06 -1.6341785667645249e+06 -1.7871333528743519e+06 4.3759432984165534e+04 +1.2845149387995150e-02 7.0087844452502017e+04 2.3421269220881595e+05 5.1542490794838156e+05 8.7967458407291258e+05 1.2341713340567939e+06 1.4392143152260974e+06 1.4320482258737341e+06 1.3158356889113511e+06 1.1960135929621209e+06 1.0936981143989714e+06 9.9609160024358612e+05 9.0142262663532898e+05 8.1227804139195592e+05 7.2954338215796230e+05 6.5297482435860811e+05 5.8302545717622421e+05 5.1999777391958225e+05 4.6345309910979454e+05 4.1276956415396865e+05 3.6735911519161338e+05 3.2670728257958614e+05 2.9071535310403054e+05 2.6244112054388790e+05 2.4816425565033092e+05 2.3618105191583413e+05 2.1472338003239059e+05 1.9074140129635241e+05 1.6861598660383347e+05 1.4882982868374779e+05 1.3120061159331576e+05 1.1550869842539860e+05 1.0155205624184381e+05 8.9148256049855656e+04 7.8132713679564404e+04 6.8356786994440961e+04 5.9685991773416419e+04 5.1998387281824791e+04 4.5183095839125053e+04 3.9138958796825289e+04 3.3773295019445948e+04 2.8666795212949673e+04 2.4147392280661985e+04 2.0124315098390249e+04 1.6512516285004236e+04 1.3231429307070475e+04 1.0203724445037125e+04 7.3539890567105294e+03 4.6072177346710887e+03 1.8869512543675639e+03 -8.8719277932676914e+02 -3.8033313954153436e+03 -6.9609039296268065e+03 -1.0477587699800564e+04 -1.4502630835323534e+04 -1.9229561225037218e+04 -2.4921353220340348e+04 -3.1947380836674267e+04 -4.0843189476082887e+04 -5.2406721287883440e+04 -6.7851889201271930e+04 -8.9048527414509910e+04 -1.1884535321967886e+05 -1.6139678066720752e+05 -2.2221947692255283e+05 -3.0754508534002898e+05 -4.2261836465074221e+05 -5.6918681019685476e+05 -7.4325943515022786e+05 -9.3447011778013653e+05 -1.1278864575692739e+06 -1.3076283013474445e+06 -1.4607663465893825e+06 -1.5800069351715359e+06 -1.6644780719543612e+06 -1.7183045080324486e+06 -1.7485800078050380e+06 -1.7629598022990902e+06 -1.7679903982538187e+06 -1.7682774075591166e+06 -1.7671234879704216e+06 -1.7654502246061771e+06 -1.7635222683114610e+06 -1.7614162687402284e+06 -1.7592156893098282e+06 -1.7568924891196208e+06 -1.7544494701285581e+06 -1.7517884492733486e+06 -1.7489402084642095e+06 -1.7458523316012754e+06 -1.7424838255710972e+06 -1.7387848780409424e+06 -1.7346993870321347e+06 -1.7301630075582925e+06 -1.7251049821438226e+06 -1.7194475552078870e+06 -1.7131040426680376e+06 -1.7059823427343515e+06 -1.6979833141029219e+06 -1.6890047158982949e+06 -1.6789440142155671e+06 -1.6677034750934714e+06 -1.6552214838087396e+06 -1.6413877618651465e+06 -1.6262037578555420e+06 -1.6097046069042990e+06 -1.5920197173592225e+06 -1.5733693103686916e+06 -1.5541726046648577e+06 -1.5350678340508470e+06 -1.5170061526575608e+06 -1.5013707261322408e+06 -1.4901312011227515e+06 -1.4861042740557618e+06 -1.4933354057607558e+06 -1.5177587993854305e+06 -1.5683641113250693e+06 -1.6593915825123624e+06 -1.8147062207039054e+06 4.4298748298372630e+04 +1.2924317103435452e-02 6.9709952642606193e+04 2.3365266035711236e+05 5.1455405934770231e+05 8.7840260082540161e+05 1.2325134170877999e+06 1.4373432292024463e+06 1.4302031254230286e+06 1.3141365975110908e+06 1.1944632943266036e+06 1.0922767800112267e+06 9.9479285756829940e+05 9.0024151018562831e+05 8.1120661968450027e+05 7.2857270276986877e+05 6.5209611434111616e+05 5.8222959310793248e+05 5.1927558517773682e+05 4.6279609985982842e+05 4.1217010755871760e+05 3.6681033838243183e+05 3.2620302258565195e+05 2.9024990109245339e+05 2.6200784929513591e+05 2.4775522703691397e+05 2.3579553696209638e+05 2.1436461378639357e+05 1.9040790609570258e+05 1.6830424859293181e+05 1.4853640406203162e+05 1.3092240926105269e+05 1.1524296230025102e+05 1.0129632686217416e+05 8.8900333477209744e+04 7.7890622610711347e+04 6.8118743764433777e+04 5.9450372864198245e+04 5.1763698797514218e+04 4.4947943501210961e+04 3.8902017964210158e+04 3.3533280148093596e+04 2.8422052248995689e+04 2.3896410570358355e+04 1.9865500311841843e+04 1.6244135070007125e+04 1.2951545391928923e+04 9.9101228784509003e+03 7.0440840619637265e+03 4.2779379735677021e+03 1.5345935611660889e+03 -1.2671513829153105e+03 -4.2164900204593159e+03 -7.4142601639045643e+03 -1.0979980943773655e+04 -1.5065407201336669e+04 -1.9867464358663277e+04 -2.5653875556152081e+04 -3.2800773992946408e+04 -4.1853569812993635e+04 -5.3624902792169501e+04 -6.9350894576650579e+04 -9.0934979038029633e+04 -1.2127536509762279e+05 -1.6459470453646180e+05 -2.2649284175461484e+05 -3.1328355190008710e+05 -4.3026366473535745e+05 -5.7916975955069193e+05 -7.5591703036132862e+05 -9.4996843834010011e+05 -1.1461780464322520e+06 -1.3284582851167407e+06 -1.4837231951308919e+06 -1.6046002426540183e+06 -1.6902209568601917e+06 -1.7447750029496129e+06 -1.7754567057181960e+06 -1.7900266924803075e+06 -1.7951206715990724e+06 -1.7954067460048094e+06 -1.7942336948966917e+06 -1.7925341922382561e+06 -1.7905764570339632e+06 -1.7884380863164300e+06 -1.7862037307154203e+06 -1.7838448860802643e+06 -1.7813643885189209e+06 -1.7786625447593406e+06 -1.7757706091090497e+06 -1.7726353610318687e+06 -1.7692151786728245e+06 -1.7654594855952284e+06 -1.7613113190273785e+06 -1.7567053466668737e+06 -1.7515697266146778e+06 -1.7458255090228803e+06 -1.7393846806947347e+06 -1.7321537266872206e+06 -1.7240319849320611e+06 -1.7149156461398290e+06 -1.7047006033182251e+06 -1.6932876229863223e+06 -1.6806141462280282e+06 -1.6665682014091583e+06 -1.6511512600321604e+06 -1.6343989960211227e+06 -1.6164428031359443e+06 -1.5975062809824252e+06 -1.5780150793813758e+06 -1.5586172230920484e+06 -1.5402784587580799e+06 -1.5244031698455464e+06 -1.5129912198671165e+06 -1.5089025155746613e+06 -1.5162445795615094e+06 -1.5410426504781940e+06 -1.5924242937427263e+06 -1.6848482047935447e+06 -1.8425454951894931e+06 4.4844699510997496e+04 +1.3003972748364056e-02 6.9328764515264469e+04 2.3308954880853245e+05 5.1368050666063692e+05 8.7712836331693933e+05 1.2308536053570937e+06 1.4354702558342586e+06 1.4283557961900507e+06 1.3124348190962775e+06 1.1929098744866897e+06 1.0908519258041745e+06 9.9349022914824507e+05 8.9905617906528665e+05 8.1013069542705372e+05 7.2759727457902941e+05 6.5121245142711024e+05 5.8142861098227417e+05 5.1854814722055994e+05 4.6213374989054585e+05 4.1156522465020930e+05 3.6625608219430654e+05 3.2569324955284054e+05 2.8977891609185981e+05 2.6156900629717542e+05 2.4734049431884746e+05 2.3540416048530783e+05 2.1399992091678723e+05 1.9006847652179026e+05 1.6798658957519528e+05 1.4823708386576679e+05 1.3063834554860552e+05 1.1497140519345425e+05 1.0103482075799971e+05 8.8646680095485382e+04 7.7642846215847254e+04 6.7875058247537250e+04 5.9209150304882671e+04 5.1523438960233856e+04 4.4707243824095429e+04 3.8659543537224410e+04 3.3287733097403150e+04 2.8171762393881036e+04 2.3639847593683266e+04 1.9601047012659204e+04 1.5970031623250534e+04 1.2665824929102699e+04 9.6105350335808689e+03 6.7280018931658906e+03 3.9422419553750860e+03 1.1755235480008143e+03 -1.6541865987502135e+03 -4.6371726386909522e+03 -7.8756905321351942e+03 -1.1491127719016953e+04 -1.5637782439511633e+04 -2.0516027895759933e+04 -2.6398406451987859e+04 -3.3667910314499146e+04 -4.2879958794466576e+04 -5.4862101390603239e+04 -7.0872981071463553e+04 -9.2850083376051072e+04 -1.2374172327587863e+05 -1.6783952829406186e+05 -2.3082722279207181e+05 -3.1910109709819203e+05 -4.3800981308096775e+05 -5.8927803834545217e+05 -7.6872555540956126e+05 -9.6564259735577146e+05 -1.1646680885166877e+06 -1.3495059265230142e+06 -1.5069129465962364e+06 -1.6294377161267733e+06 -1.7162156859750201e+06 -1.7715020807159205e+06 -1.8025925545792622e+06 -1.8173538649311007e+06 -1.8225115207941451e+06 -1.8227965295034726e+06 -1.8216041306346031e+06 -1.8198781238326421e+06 -1.8178903192851034e+06 -1.8157192652833555e+06 -1.8134508089327167e+06 -1.8110559776528003e+06 -1.8085376417328776e+06 -1.8057945832436013e+06 -1.8028585333587984e+06 -1.7996754593888531e+06 -1.7962031047019605e+06 -1.7923901214203618e+06 -1.7881786777193772e+06 -1.7835024445171820e+06 -1.7782884850145623e+06 -1.7724566437307969e+06 -1.7659175655544940e+06 -1.7585763088261455e+06 -1.7503306761166665e+06 -1.7410752746709711e+06 -1.7307044093064915e+06 -1.7191173326473671e+06 -1.7062505324505896e+06 -1.6919903277943544e+06 -1.6763382132648728e+06 -1.6593304067607960e+06 -1.6411003065081141e+06 -1.6218749229975166e+06 -1.6020863988680446e+06 -1.5823926438195158e+06 -1.5637741370105781e+06 -1.5476566834639236e+06 -1.5360706535499683e+06 -1.5319195790929266e+06 -1.5393736401143784e+06 -1.5645499845327854e+06 -1.6167154104593697e+06 -1.7105491645533985e+06 -1.8706519756722348e+06 4.5397368068915697e+04 +1.3084119330006624e-02 6.8944238854002600e+04 2.3252332130638772e+05 5.1280421064376854e+05 8.7585184212540707e+05 1.2291918591879583e+06 1.4335953612374712e+06 1.4265062078516288e+06 1.3107303263561975e+06 1.1913533124264679e+06 1.0894235325689532e+06 9.9218369858866651e+05 8.9786661886292219e+05 8.0905025647375872e+05 7.2661708740016492e+05 6.5032382661842008e+05 5.8062250266962778e+05 5.1781545236814109e+05 4.6146604166271212e+05 4.1095490777917247e+05 3.6569633862779156e+05 3.2517795494033227e+05 2.8930238890357665e+05 2.6112458205541782e+05 2.4692004916383445e+05 2.3500691558567432e+05 2.1362929445596307e+05 1.8972310467333597e+05 1.6766300042306233e+05 1.4793185757578176e+05 1.3034840841719092e+05 1.1469401344176535e+05 1.0076752255819089e+05 8.8387278756776548e+04 7.7389365514093792e+04 6.7625709581848554e+04 5.8962301309108057e+04 5.1277583016571043e+04 4.4460970041062123e+04 3.8411506682172512e+04 3.3036622900625058e+04 2.7915892295705653e+04 2.3377667488844771e+04 1.9330916667708974e+04 1.5690164533012396e+04 1.2374223364648720e+04 9.3049128823514238e+03 6.4056906345198349e+03 3.6000733657798455e+03 8.0967987628901483e+02 -2.0483655521840428e+03 -5.0654530921103942e+03 -8.3452767324248125e+03 -1.2011118995730607e+04 -1.6219858596608026e+04 -2.1175367312025533e+04 -2.7155077953922195e+04 -3.4548942692487930e+04 -4.3922536061743776e+04 -5.6118531705880960e+04 -7.2418409738355593e+04 -9.4794163458627139e+04 -1.2624483260307761e+05 -1.7113176102439073e+05 -2.3522325353413654e+05 -3.2499848923679633e+05 -4.4585770608299278e+05 -5.9951264461912645e+05 -7.8168606847464049e+05 -9.8149366702054243e+05 -1.1833576308196639e+06 -1.3707722227563416e+06 -1.5303365399627399e+06 -1.6545202407719165e+06 -1.7424631021563781e+06 -1.7984865549575684e+06 -1.8299883500603982e+06 -1.8449421053505486e+06 -1.8501637263687281e+06 -1.8504475358563289e+06 -1.8492355717146639e+06 -1.8474827948816123e+06 -1.8454646296030190e+06 -1.8432605792158474e+06 -1.8409576965611449e+06 -1.8385265354183051e+06 -1.8359700002768093e+06 -1.8331853340589814e+06 -1.8302047493004440e+06 -1.8269733934022398e+06 -1.8234483689078826e+06 -1.8195775491445272e+06 -1.8153022249429629e+06 -1.8105550609502911e+06 -1.8052620149592529e+06 -1.7993417144610947e+06 -1.7927034495912001e+06 -1.7852508383678340e+06 -1.7768801333607344e+06 -1.7674843432545320e+06 -1.7569561695260908e+06 -1.7451933364831328e+06 -1.7321313694036934e+06 -1.7176548618713384e+06 -1.7017653317361388e+06 -1.6844995460566808e+06 -1.6659929266429634e+06 -1.6464759273920748e+06 -1.6263872456698900e+06 -1.6063947703893969e+06 -1.5874938536354855e+06 -1.5711319263422736e+06 -1.5593701565910834e+06 -1.5551561172655073e+06 -1.5627232432488836e+06 -1.5882814681025387e+06 -1.6412381502537669e+06 -1.7364951905433775e+06 -1.8990264590993382e+06 4.5956836414869817e+04 +1.3164759874123067e-02 6.8556331869437883e+04 2.3195393109832748e+05 5.1192513216423721e+05 8.7457299139517825e+05 1.2275281271786171e+06 1.4317184920817271e+06 1.4246543336872016e+06 1.3090230950780900e+06 1.1897935818505464e+06 1.0879915799326992e+06 9.9087324792833591e+05 8.9667281438270060e+05 8.0796528984481771e+05 7.2563213008741383e+05 6.4943022988595662e+05 5.7981125905012595e+05 5.1707749195827864e+05 4.6079296666366351e+05 4.1033914832272078e+05 3.6513109872213949e+05 3.2465712925791915e+05 2.8882030939261289e+05 2.6067456614956335e+05 2.4649388230594693e+05 2.3460379442133493e+05 2.1325272650599162e+05 1.8937178173929456e+05 1.6733347112343425e+05 1.4762071381344734e+05 1.3005258499456923e+05 1.1441077257595524e+05 1.0049441611177578e+05 8.8122111559853685e+04 7.7130160796614233e+04 6.7370676201783353e+04 5.8709802409792414e+04 5.1026105553456764e+04 4.4209094745206472e+04 3.8157877942388353e+04 3.2779917982913372e+04 2.7654408007380829e+04 2.3109833808605821e+04 1.9055070164738478e+04 1.5404491810815058e+04 1.2076695565758559e+04 8.9932078105784076e+03 6.0770977707309512e+03 3.2513752702555271e+03 4.3700055732229470e+02 -2.4497560600406073e+03 -5.5014059698506680e+03 -8.8231012832272700e+03 -1.2540046658952197e+04 -1.6811738754372080e+04 -2.1845599269467017e+04 -2.7924023484292436e+04 -3.5444025633832571e+04 -4.4981483176726739e+04 -5.7394410673285762e+04 -7.3987444447756439e+04 -9.6767545775140228e+04 -1.2878510216516566e+05 -1.7447191691034881e+05 -2.3968157339104937e+05 -3.3097650310195569e+05 -4.5380824676616013e+05 -6.0987458265308430e+05 -7.9479963310061302e+05 -9.9752272366511822e+05 -1.2022477231073561e+06 -1.3922581724573313e+06 -1.5539949145159228e+06 -1.6798487011831591e+06 -1.7689640470264587e+06 -1.8257292376570466e+06 -1.8576448859455800e+06 -1.8727921974341688e+06 -1.8780780667967682e+06 -1.8783605407857911e+06 -1.8771287925831403e+06 -1.8753489787919323e+06 -1.8733001604413623e+06 -1.8710627996135512e+06 -1.8687251641295936e+06 -1.8662573288830684e+06 -1.8636622325880209e+06 -1.8608355644799364e+06 -1.8578100229560107e+06 -1.8545299277436936e+06 -1.8509517344870716e+06 -1.8470225303423104e+06 -1.8426827204802195e+06 -1.8378639537673641e+06 -1.8324910720331133e+06 -1.8264814743211248e+06 -1.8197430831354696e+06 -1.8121780625217909e+06 -1.8036811003697943e+06 -1.7941435916598162e+06 -1.7834566193393890e+06 -1.7715163649360179e+06 -1.7582573820590638e+06 -1.7435625225526027e+06 -1.7274333277086008e+06 -1.7099071189463339e+06 -1.6911213608307464e+06 -1.6713099832873968e+06 -1.6509183005024036e+06 -1.6306242751486581e+06 -1.6114382730705270e+06 -1.5948295560694921e+06 -1.5828903816547904e+06 -1.5786127809905671e+06 -1.5862940430301609e+06 -1.6122377659506267e+06 -1.6659932000540455e+06 -1.7626870095598313e+06 -1.9276697402785041e+06 4.6523187999576578e+04 +1.3245897425121776e-02 6.8165000631147559e+04 2.3138133534419938e+05 5.1104322611444345e+05 8.7329176244410826e+05 1.2258623709995863e+06 1.4298396327905101e+06 1.4228001396922141e+06 1.3073130984934596e+06 1.1882306558421189e+06 1.0865560452052213e+06 9.8955885808369541e+05 8.9547474971573916e+05 8.0687578175880108e+05 7.2464239053111325e+05 6.4853165019715787e+05 5.7899487000131852e+05 5.1633425634400878e+05 4.6011451540432224e+05 4.0971793668284314e+05 3.6456035255481926e+05 3.2413076206320000e+05 2.8833266648592131e+05 2.6021894723102238e+05 2.4606198354245702e+05 2.3419478820605489e+05 2.1287020823380936e+05 1.8901449799465400e+05 1.6699799077284362e+05 1.4730364033500696e+05 1.2975086156938136e+05 1.1412166731378764e+05 1.0021548448124397e+05 8.7851159842439214e+04 7.6865211618351837e+04 6.7109935829508933e+04 5.8451629449872336e+04 5.0768980488532718e+04 4.3951589878915322e+04 3.7898627227000266e+04 3.2517586149546056e+04 2.7387274974598640e+04 2.2836309507897775e+04 1.8773467799465845e+04 1.5112970877979589e+04 1.1773195806851005e+04 8.6753706035996893e+03 5.7421701722162843e+03 2.8960900987396326e+03 5.7422936455276371e+01 -2.8584266469501895e+03 -5.9451066250282720e+03 -9.3092475408812188e+03 -1.3078003526980159e+04 -1.7413527049209042e+04 -2.2526841637720368e+04 -2.8705377865233524e+04 -3.6353315287834041e+04 -4.6056983652608251e+04 -5.8689957576503133e+04 -7.5580351930533361e+04 -9.8770560324934471e+04 -1.3136294534536626e+05 -1.7786051530298722e+05 -2.4420282776290760e+05 -3.3703592005080008e+05 -4.6186234487727849e+05 -6.2036486307445006e+05 -8.0806731830501743e+05 -1.0137308478896046e+06 -1.2213394180675165e+06 -1.4139647758894868e+06 -1.5778890100380585e+06 -1.7054239815785007e+06 -1.7957193612129763e+06 -1.8532309393937548e+06 -1.8855629543837742e+06 -1.9009049231216572e+06 -1.9062553187353285e+06 -1.9065363181848107e+06 -1.9052845658553552e+06 -1.9034774471385013e+06 -1.9013976824227115e+06 -1.8991266961442439e+06 -1.8967539803332626e+06 -1.8942491257277383e+06 -1.8916151052760130e+06 -1.8887460399507317e+06 -1.8856751185291172e+06 -1.8823458252662132e+06 -1.8787139628211556e+06 -1.8747258247774497e+06 -1.8703209223150031e+06 -1.8654298789645380e+06 -1.8599764100234634e+06 -1.8538766746235462e+06 -1.8470372147256816e+06 -1.8393587267183093e+06 -1.8307343190810422e+06 -1.8210537579000541e+06 -1.8102064923648192e+06 -1.7980871467115430e+06 -1.7846292936658973e+06 -1.7697140270410161e+06 -1.7533429117518794e+06 -1.7355538287913946e+06 -1.7164863047047150e+06 -1.6963777781683817e+06 -1.6756802424612585e+06 -1.6550818288451920e+06 -1.6356080581681414e+06 -1.6187502286680592e+06 -1.6066319798536671e+06 -1.6022902196223338e+06 -1.6100866919733682e+06 -1.6364195412634832e+06 -1.6909812451552723e+06 -1.7891253466693989e+06 -1.9565826121268219e+06 4.7096507293979666e+04 +1.3327535046174555e-02 6.7770202661031712e+04 2.3080549222019702e+05 5.1015844121878786e+05 8.7200811767567869e+05 1.2241945531304532e+06 1.4279587296712357e+06 1.4209435856595186e+06 1.3056003024818134e+06 1.1866645090618955e+06 1.0851169052693017e+06 9.8824050940215925e+05 8.9427240815058141e+05 8.0578171750431706e+05 7.2364785560989974e+05 6.4762807556333975e+05 5.7817332439492596e+05 5.1558573488908214e+05 4.5943067741628975e+05 4.0909126228559267e+05 3.6398408924038138e+05 3.2359884196207894e+05 2.8783944816981239e+05 2.5975771301959187e+05 2.4562434173171461e+05 2.3377988720572068e+05 2.1248172986824997e+05 1.8865124279617195e+05 1.6665654757265252e+05 1.4698062402579989e+05 1.2944322358548202e+05 1.1382668155354464e+05 9.9930709935251012e+04 8.7574404173571878e+04 7.6594496789973055e+04 6.6843465465758039e+04 5.8187757572585055e+04 5.0506181059883129e+04 4.3688426723393801e+04 3.7633723800219974e+04 3.2249594574752984e+04 2.7114458023958399e+04 2.2557056931445077e+04 1.8486069262701789e+04 1.4815558552357168e+04 1.1463677755761446e+04 8.3513514319054557e+03 5.4008540802239495e+03 2.5341596302609273e+03 -3.2911632277919045e+02 -3.2744465617707901e+03 -6.3966311917876474e+03 -9.8037997173252024e+03 -1.3625083370027663e+04 -1.8025328692031515e+04 -2.3219213515526058e+04 -2.9499277342560421e+04 -3.7276969473018820e+04 -4.7149222984719068e+04 -6.0005394084011314e+04 -7.7197401821127336e+04 -1.0080354066979907e+05 -1.3397877988630033e+05 -1.8129808079258580e+05 -2.4878766812156086e+05 -3.4317752809988940e+05 -4.7002091698034765e+05 -6.3098450295872835e+05 -8.2149019870207983e+05 -1.0301191246963472e+06 -1.2406337714698545e+06 -1.4358930351194360e+06 -1.6020197670216383e+06 -1.7312469660165280e+06 -1.8227298845647839e+06 -1.8809924695739103e+06 -1.9137433461188807e+06 -1.9292810628254784e+06 -1.9346962572713108e+06 -1.9349756403528240e+06 -1.9337036625513448e+06 -1.9318689699016502e+06 -1.9297579645767226e+06 -1.9274530368841107e+06 -1.9250449122797146e+06 -1.9225026920448293e+06 -1.9198293833666351e+06 -1.9169175243391132e+06 -1.9138007986445234e+06 -1.9104218472477994e+06 -1.9067358137184053e+06 -1.9026881906461439e+06 -1.8982175868597855e+06 -1.8932535909789773e+06 -1.8877187811578831e+06 -1.8815280651349593e+06 -1.8745865913630798e+06 -1.8667935748480109e+06 -1.8580405298950048e+06 -1.8482155784632266e+06 -1.8372065207021870e+06 -1.8249064090086846e+06 -1.8112478259807611e+06 -1.7961100910651027e+06 -1.7794947929706317e+06 -1.7614403774985787e+06 -1.7420884524631354e+06 -1.7216799980975697e+06 -1.7006737492376491e+06 -1.6797681008415872e+06 -1.6600038704153874e+06 -1.6428945988070213e+06 -1.6305956009545107e+06 -1.6261890811732512e+06 -1.6341018412418494e+06 -1.6608274558541749e+06 -1.7162029694387447e+06 -1.8158109254461590e+06 -1.9857658659261588e+06 4.7676879801648116e+04 +1.3409675819332265e-02 6.7371892597207130e+04 2.3022635683490566e+05 5.0927074368336709e+05 8.7072201701014792e+05 1.2225246246767200e+06 1.4260757572102409e+06 1.4190846418586893e+06 1.3038846733756098e+06 1.1850951157154390e+06 1.0836741376986250e+06 9.8691818205858080e+05 8.9306577209257707e+05 8.0468308133883867e+05 7.2264851117736276e+05 6.4671949307907396e+05 5.7734661010358005e+05 5.1483191596682777e+05 4.5874144124413916e+05 4.0845911358042108e+05 3.6340229692511895e+05 3.2306135660436668e+05 2.8734064148734923e+05 2.5929085030193537e+05 2.4518094479046096e+05 2.3335908073450191e+05 2.1208728069645251e+05 1.8828200457826894e+05 1.6630912882453291e+05 1.4665165089572035e+05 1.2912965563512554e+05 1.1352579836754140e+05 9.9640073941460621e+04 8.7291824345907502e+04 7.6317994369278880e+04 6.6571241381182932e+04 5.7918161212435465e+04 5.0237679816463533e+04 4.3419575888402651e+04 3.7363136270445983e+04 3.1975909790267735e+04 2.6835921351265424e+04 2.2272037801448085e+04 1.8192833627570613e+04 1.4512211034938997e+04 1.1148094459902162e+04 8.0210998368581477e+03 5.0530950919766929e+03 2.1655249775447601e+03 -7.2268125461786042e+02 -3.6978857941022575e+03 -6.8560566024305235e+03 -1.0306842897986133e+04 -1.4181380928967974e+04 -1.8647249988225536e+04 -2.3922835252460671e+04 -3.0305859609687606e+04 -3.8215147704365190e+04 -4.8258388682072815e+04 -6.1340944285834135e+04 -7.8838866701386520e+04 -1.0286682398541571e+05 -1.3663302795138652e+05 -1.8478514328081027e+05 -2.5343675209006859e+05 -3.4940212201428693e+05 -4.7828488655345101e+05 -6.4173452593410912e+05 -8.3506935461311287e+05 -1.0466886436248081e+06 -1.2601318423133309e+06 -1.4580439541924195e+06 -1.6263881268515990e+06 -1.7573185386080458e+06 -1.8499964563905331e+06 -1.9090146366713853e+06 -1.9421868507382486e+06 -1.9579213956895676e+06 -1.9634016561693572e+06 -1.9636792782528156e+06 -1.9623868523413441e+06 -1.9605243157113232e+06 -1.9583817745847262e+06 -1.9560425885650311e+06 -1.9535987257336669e+06 -1.9510187925845645e+06 -1.9483058305452114e+06 -1.9453507801721494e+06 -1.9421878245888890e+06 -1.9387587536313818e+06 -1.9350180456554233e+06 -1.9309103848181255e+06 -1.9263734692023268e+06 -1.9213358429251574e+06 -1.9157189363495777e+06 -1.9094363942991975e+06 -1.9023919587322657e+06 -1.8944833494991271e+06 -1.8856004719177785e+06 -1.8756297885470237e+06 -1.8644574351687212e+06 -1.8519748777540305e+06 -1.8381136994946932e+06 -1.8227514290885986e+06 -1.8058896792201933e+06 -1.7875674657458686e+06 -1.7679284970837757e+06 -1.7472173279366691e+06 -1.7258994973399662e+06 -1.7046837593298950e+06 -1.6846263701398910e+06 -1.6672633200049486e+06 -1.6547818935860940e+06 -1.6503100125165056e+06 -1.6583401408602502e+06 -1.6854621703773108e+06 -1.7416590555852994e+06 -1.8427444681902586e+06 -2.0152202915692891e+06 4.8264392071325012e+04 +1.3492322845641181e-02 6.6970025769186381e+04 2.2964388305895354e+05 5.0838008673892694e+05 8.6943341169289686e+05 1.2208525542813090e+06 1.4241906671727984e+06 1.4172232769831892e+06 1.3021661861473217e+06 1.1835224510307994e+06 1.0822277188948155e+06 9.8559185518223804e+05 8.9185482282301143e+05 8.0357985647578025e+05 7.2164434212075931e+05 6.4580588893354090e+05 5.7651471401957551e+05 5.1407278695775376e+05 4.5804679444209015e+05 4.0782147803806240e+05 3.6281496278651786e+05 3.2251829268422956e+05 2.8683623253544397e+05 2.5881834492739351e+05 2.4473177968967825e+05 2.3293235715218176e+05 2.1168684905959494e+05 1.8790677084873000e+05 1.6595572092538292e+05 1.4631670607344931e+05 1.2881014145395030e+05 1.1321899999563050e+05 9.9343557159180113e+04 8.7003399367747959e+04 7.6035681653114079e+04 6.6293239107501824e+04 5.7642814085590951e+04 4.9963448607996950e+04 4.3145007301783764e+04 3.7086832579394708e+04 3.1696497674095077e+04 2.6551628509506703e+04 2.1981213205249802e+04 1.7893719336675269e+04 1.4202883896594352e+04 1.0826398332456476e+04 7.6845647162654132e+03 4.6988381457767928e+03 1.7901265715711256e+03 -1.1233366070802983e+03 -4.1288150909056776e+03 -7.3234606046746039e+03 -1.0818463059761021e+04 -1.4746991934389072e+04 -1.9279398358038477e+04 -2.4637828471002511e+04 -3.1125263832083157e+04 -3.9168011220699998e+04 -4.9384670298772740e+04 -6.2696834730772651e+04 -8.0505022144667892e+04 -1.0496075111446029e+05 -1.3932611618734011e+05 -1.8832223805350327e+05 -2.5815074352462238e+05 -3.5571050339451543e+05 -4.8665518408218707e+05 -6.5261596228598768e+05 -8.4880587218460231e+05 -1.0634404988816273e+06 -1.2798346929831263e+06 -1.4804185393063962e+06 -1.6509950320094344e+06 -1.7836395837384216e+06 -1.8775199156747898e+06 -1.9372982484607149e+06 -1.9708942569110622e+06 -1.9868266998255383e+06 -1.9923722881069498e+06 -1.9926480017382188e+06 -1.9913349037944707e+06 -1.9894442520933461e+06 -1.9872698790190101e+06 -1.9848961168109009e+06 -1.9824161853529427e+06 -1.9797981909950171e+06 -1.9770452093968701e+06 -1.9740465688773850e+06 -1.9708369565516764e+06 -1.9673573032649455e+06 -1.9635614160159454e+06 -1.9593931630661201e+06 -1.9547893233454130e+06 -1.9496773868313821e+06 -1.9439776254275113e+06 -1.9376024094900666e+06 -1.9304540614455233e+06 -1.9224287921884875e+06 -1.9134148831897562e+06 -1.9032971222877784e+06 -1.8919599655307252e+06 -1.8792932778252843e+06 -1.8652276336587465e+06 -1.8496387545551169e+06 -1.8325282773433265e+06 -1.8139357932000747e+06 -1.7940071305469768e+06 -1.7729904515604700e+06 -1.7513581622967247e+06 -1.7298294715339735e+06 -1.7094762167144986e+06 -1.6918570448437124e+06 -1.6791915054419972e+06 -1.6746536595984534e+06 -1.6828022399137602e+06 -1.7103243445348626e+06 -1.7673501852920891e+06 -1.8699266961646220e+06 -2.0449466778110296e+06 4.8859131709630099e+04 +1.3575479245260067e-02 6.6564557079219958e+04 2.2905802852973359e+05 5.0748642501734296e+05 8.6814225278624822e+05 1.2191782879505225e+06 1.4223034263858416e+06 1.4153594390344457e+06 1.3004448110321215e+06 1.1819464864225630e+06 1.0807776227534234e+06 9.8426150634682260e+05 8.9063954039747769e+05 8.0247202517033555e+05 7.2063533241464675e+05 6.4488724838677049e+05 5.7567762207848881e+05 5.1330833424955216e+05 4.5734672357261908e+05 4.0717834214822418e+05 3.6222207302862371e+05 3.2196963593505725e+05 2.8632620646294014e+05 2.5834018180490736e+05 2.4427683245319058e+05 2.3249970386153896e+05 2.1128042235021840e+05 1.8752552818518199e+05 1.6559630936291060e+05 1.4597577380099357e+05 1.2848466391428532e+05 1.1290626783855334e+05 9.9041139432778538e+04 8.6709107455522535e+04 7.5747535168931223e+04 6.6009433428750097e+04 5.7361689180817841e+04 4.9683458575387893e+04 4.2864690199278346e+04 3.6804779991334319e+04 3.1411323439252574e+04 2.6261542397308342e+04 2.1684543583134018e+04 1.7588684189328033e+04 1.3887532064759462e+04 1.0498541138562177e+04 7.3416943100872577e+03 4.3380275061011653e+03 1.4079041460810292e+03 -1.5311478580483583e+03 -4.5673059731892745e+03 -7.7989217790387984e+03 -1.1338747089262142e+04 -1.5322013125670688e+04 -1.9921882356909529e+04 -2.5364316088652002e+04 -3.1957630671855866e+04 -4.0135723012667164e+04 -5.0528259466301533e+04 -6.4073294463705875e+04 -8.2196146760571413e+04 -1.0708566661954654e+05 -1.4205847578745571e+05 -1.9190990585319704e+05 -2.6293031259727530e+05 -3.6210348076896020e+05 -4.9513274715732376e+05 -6.6362984905880119e+05 -8.6270084350409859e+05 -1.0803757894771309e+06 -1.2997433894044019e+06 -1.5030177989925272e+06 -1.6758414262704828e+06 -1.8102109862720291e+06 -1.9053011013117889e+06 -1.9658441122536166e+06 -1.9998663526253724e+06 -2.0159977525515063e+06 -2.0216089249264034e+06 -2.0218825798112247e+06 -2.0205485846145337e+06 -2.0186295457121015e+06 -2.0164230436010975e+06 -2.0140143863855945e+06 -2.0114980549391245e+06 -2.0088416500645694e+06 -2.0060482816466186e+06 -2.0030056510239169e+06 -1.9997489538665093e+06 -1.9962182541389870e+06 -1.9923666813313859e+06 -1.9881372803154176e+06 -1.9834659024391987e+06 -1.9782789738809399e+06 -1.9724955973737417e+06 -1.9660268572353888e+06 -1.9587736432782102e+06 -1.9506306435967870e+06 -1.9414845009214221e+06 -1.9312183129976930e+06 -1.9197148407279600e+06 -1.9068623332837897e+06 -1.8925903471140584e+06 -1.8767727800963107e+06 -1.8594112933829804e+06 -1.8405460587425667e+06 -1.8203250440554277e+06 -1.7990000520724931e+06 -1.7770504188768300e+06 -1.7552059039276156e+06 -1.7345540687715921e+06 -1.7166764251638709e+06 -1.7038250834845323e+06 -1.6992206676343377e+06 -1.7074887867598131e+06 -1.7354146372849401e+06 -1.7932770394874983e+06 -1.8973583298158059e+06 -2.0749458125181554e+06 4.9461187393908578e+04 +1.3659148157577966e-02 6.6155441136759910e+04 2.2846874682613730e+05 5.0658970890091651e+05 8.6684850605460024e+05 1.2175017909154452e+06 1.4204139748790062e+06 1.4134931124395607e+06 1.2987205083367752e+06 1.1803671907214574e+06 1.0793238226293779e+06 9.8292711171818664e+05 8.8941990389235166e+05 8.0135956883524335e+05 7.1962146510511707e+05 6.4396355573801592e+05 5.7483531926988077e+05 5.1253854324263195e+05 4.5664121420472499e+05 4.0652969141720689e+05 3.6162361288027704e+05 3.2141537112790236e+05 2.8581054746636789e+05 2.5785634490071030e+05 2.4381608815402180e+05 2.3206110730272043e+05 2.1086798700708992e+05 1.8713826222944999e+05 1.6523087871028524e+05 1.4562883742826374e+05 1.2815320501958250e+05 1.1258758245120429e+05 9.8732799783921742e+04 8.6408926026142362e+04 7.5453530666870894e+04 6.5719798372420875e+04 5.7074758749982953e+04 4.9397680140836179e+04 4.2578593114250485e+04 3.6516945082407903e+04 3.1120351622485941e+04 2.5965625247126914e+04 2.1381988716016269e+04 1.7277685328852564e+04 1.3566109810182106e+04 1.0164473981458494e+04 6.9924361860376102e+03 3.9706067486565744e+03 1.0187967220542432e+03 -1.9461812314092938e+03 -5.0134307528148229e+03 -8.2825195563496545e+03 -1.1867782801081103e+04 -1.5906542270432419e+04 -2.0574811696280394e+04 -2.6102422340509635e+04 -3.2803102312624978e+04 -4.1118447850776211e+04 -5.1689349925918723e+04 -6.5470555064057276e+04 -8.3912522239813450e+04 -1.0924191883769554e+05 -1.4483054255515238e+05 -1.9554869295348160e+05 -2.6777613587829185e+05 -3.6858186968115595e+05 -5.0371852057112067e+05 -6.7477723016618949e+05 -8.7675536671881296e+05 -1.0974956193540406e+06 -1.3198590011959733e+06 -1.5258427442829767e+06 -1.7009282548976326e+06 -1.8370336317690730e+06 -1.9333408523277247e+06 -1.9946530351306284e+06 -2.0291039254241288e+06 -2.0454353306363865e+06 -2.0511123378671261e+06 -2.0513837808523111e+06 -2.0500286618845565e+06 -2.0480809626015180e+06 -2.0458420334090439e+06 -2.0433981614295072e+06 -2.0408450976651262e+06 -2.0381499319582870e+06 -2.0353158084010158e+06 -2.0322287865641343e+06 -2.0289245752482670e+06 -2.0253423636339176e+06 -2.0214345975159998e+06 -2.0171434908764367e+06 -2.0124039590179576e+06 -2.0071413546416103e+06 -2.0012736005654531e+06 -1.9947104834536689e+06 -1.9873514473974046e+06 -1.9790896438035974e+06 -1.9698100617171160e+06 -1.9593940933879016e+06 -1.9477227891092456e+06 -1.9346827676022276e+06 -1.9202025579175176e+06 -1.9041542177676335e+06 -1.8865394328041167e+06 -1.8673989606807206e+06 -1.8468829282460581e+06 -1.8252468120183151e+06 -1.8029769412989754e+06 -1.7808137224448845e+06 -1.7598605844075065e+06 -1.7417221122779378e+06 -1.7286832741534943e+06 -1.7240116813139461e+06 -1.7324004292241526e+06 -1.7607337070513600e+06 -1.8194402985482872e+06 -1.9250400890084123e+06 -2.1052184829130601e+06 5.0070648885243085e+04 +1.3743332741332725e-02 6.5742630843890496e+04 2.2787598847434233e+05 5.0568989611516043e+05 8.6555211038702482e+05 1.2158230096228414e+06 1.4185223014044359e+06 1.4116242454790750e+06 1.2969932470169251e+06 1.1787845304845215e+06 1.0778662935787635e+06 9.8158864710119518e+05 8.8819589164597413e+05 8.0024246809272817e+05 7.1860272226761037e+05 6.4303479429215589e+05 5.7398778962399601e+05 5.1176339834916702e+05 4.5593025091823208e+05 4.0587551036654430e+05 3.6101956659219757e+05 3.2085548206784390e+05 2.8528923878902261e+05 2.5736681723409469e+05 2.4334953091042381e+05 2.3161655295190524e+05 2.1044952851216233e+05 1.8674495768405724e+05 1.6485941262166933e+05 1.4527587940753892e+05 1.2781574589824857e+05 1.1226292353643425e+05 9.8418516404988433e+04 8.6102831689424187e+04 7.5153643111305602e+04 6.5424307200888303e+04 5.6781994299029197e+04 4.9106082998114471e+04 4.2286683867360138e+04 3.6223293729837693e+04 3.0823546073153779e+04 2.5663838613437892e+04 2.1073507713322499e+04 1.6960679229768411e+04 1.3238570733656494e+04 9.8241472887520613e+03 6.6367372252327814e+03 3.5965187454304714e+03 6.2274259213816117e+02 -2.3685037132681832e+03 -5.4672625493854894e+03 -8.7743342353588778e+03 -1.2405658956289240e+04 -1.6500678183949534e+04 -2.1238297264383305e+04 -2.6852272801974737e+04 -3.3661822484770484e+04 -4.2116352313828393e+04 -5.2868137561234973e+04 -6.6888850683785218e+04 -8.5654433400190625e+04 -1.1142985993417108e+05 -1.4764275696870688e+05 -1.9923915123288342e+05 -2.7268889641966356e+05 -3.7514649278376822e+05 -5.1241345641610486e+05 -6.8605915649069427e+05 -8.9097054615028552e+05 -1.1148010975256804e+06 -1.3401826018231600e+06 -1.5488943888953286e+06 -1.7262564648343788e+06 -1.8641084066989017e+06 -1.9616400081102874e+06 -2.0237258241710416e+06 -2.0586077626519543e+06 -2.0751402105396534e+06 -2.0808832978098597e+06 -2.0811523728650911e+06 -2.0797759023038207e+06 -2.0777992684193163e+06 -2.0755276131548984e+06 -2.0730482056997321e+06 -2.0704580763227986e+06 -2.0677237984620237e+06 -2.0648485503793878e+06 -2.0617167350670162e+06 -2.0583645790309913e+06 -2.0547303887402315e+06 -2.0507659201032028e+06 -2.0464125486800228e+06 -2.0416042452456732e+06 -2.0362652793063454e+06 -2.0303123829980399e+06 -2.0236540336888686e+06 -2.0161882165976749e+06 -2.0078065325153403e+06 -1.9983923018185864e+06 -1.9878251958031736e+06 -1.9759845386604420e+06 -1.9627553038912907e+06 -1.9480649837657108e+06 -1.9317837792680378e+06 -1.9139134007214056e+06 -1.8944951969757325e+06 -1.8736814734088103e+06 -1.8517314136041545e+06 -1.8291384034454818e+06 -1.8066535926827660e+06 -1.7853964213867551e+06 -1.7669947571746425e+06 -1.7537667235573793e+06 -1.7490273450037399e+06 -1.7575378148078965e+06 -1.7862822119239464e+06 -1.8458406425049081e+06 -1.9529726932422102e+06 -2.1357654758288283e+06 5.0687607041612799e+04 +1.3828036174730244e-02 6.5326079155926833e+04 2.2727971105810965e+05 5.0478693898309791e+05 8.6425304158505390e+05 1.2141419071314260e+06 1.4166283481720085e+06 1.4097528137319498e+06 1.2952629940701190e+06 1.1771984745077824e+06 1.0764050086042895e+06 9.8024608819521102e+05 8.8696748128369404e+05 7.9912070269072277e+05 7.1757908496909915e+05 6.4210094634612091e+05 5.7313501618408482e+05 5.1098288299183652e+05 4.5521381730592216e+05 4.0521578252875357e+05 3.6040991743503010e+05 3.2028995159056108e+05 2.8476226271608437e+05 2.5687158087450237e+05 2.4287714388357382e+05 2.3116602531663765e+05 2.1002503138641326e+05 1.8634559830764879e+05 1.6448189382680337e+05 1.4491688128818298e+05 1.2747226679731206e+05 1.1193226993819786e+05 9.8098266651502461e+04 8.5790800240044366e+04 7.4847846672682048e+04 6.5122932402500141e+04 5.6483366578586654e+04 4.8808636102808137e+04 4.1988929556472838e+04 3.5923791101187315e+04 3.0520869942018315e+04 2.5356143361286508e+04 2.0759059000683941e+04 1.6637621685158021e+04 1.2904867752774331e+04 9.4775107985684735e+03 6.2745436078026369e+03 3.2157056496972937e+03 2.1967930503041734e+02 -2.7981830682183240e+03 -5.9288753072090421e+03 -9.2744470004859540e+03 -1.2952465281054670e+04 -1.7104520748986033e+04 -2.1912451147473297e+04 -2.7613994411681411e+04 -3.4533936490825603e+04 -4.3129604817768399e+04 -5.4064820431594562e+04 -6.8328418086523496e+04 -8.7422168232586002e+04 -1.1364984595783959e+05 -1.5049556424601286e+05 -2.0298183825118002e+05 -2.7766928383978450e+05 -3.8179817992692324e+05 -5.2121851418050361e+05 -6.9747668599269283e+05 -9.0534749241211312e+05 -1.1322933382064134e+06 -1.3607152687517577e+06 -1.5721737493977868e+06 -1.7518270049056727e+06 -1.8914361986493533e+06 -1.9901994086207799e+06 -2.0530632866915739e+06 -2.0883786516798923e+06 -2.1051131686424287e+06 -2.1109225755161890e+06 -2.1111891237149271e+06 -2.1097910724286502e+06 -2.1077852286724700e+06 -2.1054805473957756e+06 -2.1029652828056044e+06 -2.1003377535644234e+06 -2.0975640112136751e+06 -2.0946472681624419e+06 -2.0914702559542162e+06 -2.0880697234056662e+06 -2.0843830863127161e+06 -2.0803614044843898e+06 -2.0759452075122145e+06 -2.0710675131328376e+06 -2.0656514979250261e+06 -2.0596126925286944e+06 -2.0528582533454287e+06 -2.0452846935311640e+06 -2.0367820492972631e+06 -2.0272319573211444e+06 -2.0165123524507084e+06 -2.0045008172213554e+06 -1.9910806651209740e+06 -1.9761783422150789e+06 -1.9596621761584408e+06 -1.9415339021140090e+06 -1.9218354654527127e+06 -1.9007213697064910e+06 -1.8784545389041028e+06 -1.8555354790666937e+06 -1.8327261801105158e+06 -1.8111622373467339e+06 -1.7924950107121596e+06 -1.7790760776887974e+06 -1.7742683029460437e+06 -1.7829015908922208e+06 -1.8120608098690326e+06 -1.8724787512622846e+06 -1.9811568618803974e+06 -2.1665875779404100e+06 5.1312153831222276e+04 +1.3913261655564464e-02 6.4905739915045990e+04 2.2667986190706873e+05 5.0388078905270417e+05 8.6295123293379240e+05 1.2124584399595065e+06 1.4147320776511233e+06 1.4078787745488021e+06 1.2935297133341860e+06 1.1756089946068334e+06 1.0749399375523403e+06 9.7889940967147122e+05 8.8573464971288771e+05 7.9799425137891038e+05 7.1655053328162641e+05 6.4116199317969859e+05 5.7227698097756761e+05 5.1019697959914588e+05 4.5449189597240777e+05 4.0455049044951523e+05 3.5979464769741253e+05 3.1971876155894698e+05 2.8422960057316523e+05 2.5637061693781265e+05 2.4239890927376252e+05 2.3070950793276815e+05 2.0959447918545932e+05 1.8594016691009808e+05 1.6409830412628903e+05 1.4455182371108918e+05 1.2712274707671725e+05 1.1159559963490919e+05 9.7772027035106163e+04 8.5472806650150378e+04 7.4536114719327699e+04 6.4815645683111834e+04 5.6178845574774961e+04 4.8505307662606348e+04 4.1685296546291749e+04 3.5618401643860336e+04 3.0212285670103247e+04 2.5042499654413823e+04 2.0438600307905963e+04 1.6308467793924736e+04 1.2564953088711354e+04 9.1245135457821580e+03 5.9058007985023942e+03 2.8281088810239885e+03 -1.9045635017995755e+02 -3.2352878556939008e+03 -6.3983438123789947e+03 -9.7829399397100460e+03 -1.3508292485455091e+04 -1.7718170935589253e+04 -2.2597386650990815e+04 -2.8387715494772398e+04 -3.5419591231200611e+04 -4.4158375644724823e+04 -5.5279598805537229e+04 -6.9789496686745508e+04 -8.9216017947366767e+04 -1.1590223689643071e+05 -1.5338941441034892e+05 -2.0677731732382046e+05 -2.8271799440716230e+05 -3.8853776825323101e+05 -5.3013466084928915e+05 -7.0903088381485408e+05 -9.1988732252702629e+05 -1.1499734609444477e+06 -1.3814580835981360e+06 -1.5956818453929061e+06 -1.7776408260072642e+06 -1.9190178965378364e+06 -2.0190198946284305e+06 -2.0826662304705321e+06 -2.1184173801461216e+06 -2.1353549814951429e+06 -2.1412309418646325e+06 -2.1414948013706459e+06 -2.1400749389141654e+06 -2.1380396089688670e+06 -2.1357016007860126e+06 -2.1331501564518423e+06 -2.1304848921258529e+06 -2.1276713319448787e+06 -2.1247127224201881e+06 -2.1214901087448099e+06 -2.1180407666507182e+06 -2.1143012132925983e+06 -2.1102218061425136e+06 -2.1057422212529713e+06 -2.1007945147916917e+06 -2.0953007606394822e+06 -2.0891752771059682e+06 -2.0823238879166578e+06 -2.0746416209447819e+06 -2.0660169338040086e+06 -2.0563297644145610e+06 -2.0454562956233395e+06 -2.0332723527273689e+06 -2.0196595743495396e+06 -2.0045433509143163e+06 -1.9877901200853472e+06 -1.9694016420465112e+06 -1.9494204640237533e+06 -1.9280033073798090e+06 -1.9054168700749034e+06 -1.8821688419991992e+06 -1.8590321502811983e+06 -1.8371586900107851e+06 -1.8182235238323847e+06 -1.8046119826106820e+06 -1.7997351994646310e+06 -1.8084924049312894e+06 -1.8380701589326852e+06 -1.8993553048049742e+06 -2.0095933143730476e+06 -2.1976855760252513e+06 5.1944382345978163e+04 +1.3999012401338088e-02 6.4481562877314711e+04 2.2607639770398734e+05 5.0297140090232756e+05 8.6164664751725236e+05 1.2107725516916288e+06 1.4128334394622007e+06 1.4060020813312917e+06 1.2917933695260219e+06 1.1740160600348231e+06 1.0734710490207125e+06 9.7754858490811090e+05 8.8449737301389629e+05 7.9686309182831901e+05 7.1551704630979127e+05 6.4021791505377449e+05 5.7141366500013787e+05 5.0940566959830991e+05 4.5376446853166696e+05 4.0387961568272079e+05 3.5917373868271487e+05 3.1914189285998256e+05 2.8369123272321763e+05 2.5586390558334166e+05 2.4191480831659972e+05 2.3024698336003194e+05 2.0915785449632476e+05 1.8552864534828154e+05 1.6370862438682283e+05 1.4418068640255491e+05 1.2676716520328326e+05 1.1125288973278544e+05 9.7439773216550835e+04 8.5148825061614523e+04 7.4218419809270723e+04 6.4502417957035323e+04 5.5868400500023323e+04 4.8196065127659858e+04 4.1375750458374510e+04 3.5307089074237199e+04 2.9897754977580498e+04 2.4722866943727731e+04 2.0112088656657077e+04 1.5973171948139217e+04 1.2218778252946428e+04 8.7651038481880623e+03 5.5304535323148702e+03 2.4336691102154737e+03 -6.0772835971502809e+02 -3.6798874463655120e+03 -6.8757437099199406e+03 -1.0299896062504731e+04 -1.4073232282383544e+04 -1.8341730821203335e+04 -2.3293218321221873e+04 -2.9173565786261734e+04 -3.6318935230248950e+04 -4.5202836972439123e+04 -5.6512675194518662e+04 -7.1272328589584635e+04 -9.1036277021967631e+04 -1.1818739673302685e+05 -1.5632476235631789e+05 -2.1062615759953315e+05 -2.8783573112724477e+05 -3.9536610228755436e+05 -5.3916287099983252e+05 -7.2072282238960313e+05 -9.3459116004410072e+05 -1.1678425907573309e+06 -1.4024121322882702e+06 -1.6194196996824853e+06 -1.8036988813003993e+06 -1.9468543908209899e+06 -2.0481023079262092e+06 -2.1125354639813402e+06 -2.1487247361910897e+06 -2.1658664260454741e+06 -2.1718091680898000e+06 -2.1720701741313003e+06 -2.1706282687431131e+06 -2.1685631752361511e+06 -2.1661915383049245e+06 -2.1636035906706620e+06 -2.1609002550770780e+06 -2.1580465227116393e+06 -2.1550456741485707e+06 -2.1517770532803535e+06 -2.1482784673775579e+06 -2.1444855269457712e+06 -2.1403478808835186e+06 -2.1358043441039305e+06 -2.1307860026500882e+06 -2.1252138179104743e+06 -2.1190008849928509e+06 -2.1120516832176824e+06 -2.1042597418953124e+06 -2.0955119260101670e+06 -2.0856864595986875e+06 -2.0746577579303114e+06 -2.0622998734194143e+06 -2.0484927549468924e+06 -2.0331607278148218e+06 -2.0161683230029005e+06 -1.9975173258844577e+06 -1.9772508908972517e+06 -1.9555279769686875e+06 -1.9326190895665067e+06 -1.9090391663657944e+06 -1.8855721690300584e+06 -1.8633864373752261e+06 -1.8441809477543479e+06 -1.8303750846714443e+06 -1.8254286791570487e+06 -1.8343109046613185e+06 -1.8643109174412324e+06 -1.9264709834109514e+06 -2.0382827704793774e+06 -2.2290602571939565e+06 5.2584386815137877e+04 +1.4085291649384060e-02 6.4053499956856198e+04 2.2546926734484069e+05 5.0205872055613843e+05 8.6033922469007771e+05 1.2090842087230643e+06 1.4109324012933488e+06 1.4041227041652598e+06 1.2900539289842348e+06 1.1724196365843522e+06 1.0719983139731286e+06 9.7619358629813639e+05 8.8325562594084488e+05 7.9572720060157916e+05 7.1447860222474986e+05 6.3926869119493361e+05 5.7054504821625701e+05 5.0860893341225001e+05 4.5303151559974655e+05 4.0320313879192056e+05 3.5854717070752883e+05 3.1855932540290721e+05 2.8314713856205763e+05 2.5535142601068004e+05 2.4142482127879496e+05 2.2977843317867880e+05 2.0871513893239963e+05 1.8511101452096313e+05 1.6331283453495929e+05 1.4380344816925953e+05 1.2640549874381039e+05 1.1090411645927724e+05 9.7101479998346040e+04 8.4818828778122959e+04 7.3894733681999598e+04 6.4183219338490606e+04 5.5551999783829022e+04 4.7880875180855648e+04 4.1060256160799981e+04 3.4989816367206164e+04 2.9577238852592247e+04 2.4397203955664671e+04 1.9779480348462199e+04 1.5631687820355288e+04 1.1866294034085897e+04 8.3992292926788814e+03 5.1484458000149671e+03 2.0323262442532093e+03 -1.0322015008617038e+03 -4.1320520386311846e+03 -7.3611515210727293e+03 -1.0825399317984718e+04 -1.4647377406585927e+04 -1.8975303610911487e+04 -2.4000061967032201e+04 -2.9971676454808494e+04 -3.7232118662543769e+04 -4.6263162903949480e+04 -5.7764254387439578e+04 -7.2777158630828228e+04 -9.2883243248150509e+04 -1.2050569350252791e+05 -1.5930206791737373e+05 -2.1452893413659683e+05 -2.9302320382727170e+05 -4.0228403403135343e+05 -5.4830412690369005e+05 -7.3255358154349448e+05 -9.4946013515814801e+05 -1.1859018582627126e+06 -1.4235785052021728e+06 -1.6433883384461331e+06 -1.8300021264022065e+06 -1.9749465737005114e+06 -2.0774474915522996e+06 -2.1426717966135042e+06 -2.1793015086845364e+06 -2.1966482798768352e+06 -2.2026580260130391e+06 -2.2029160108747496e+06 -2.2014518294665921e+06 -2.1993566939741760e+06 -2.1969511254970022e+06 -2.1943263500545300e+06 -2.1915846060441574e+06 -2.1886903461316479e+06 -2.1856468849011739e+06 -2.1823318499604287e+06 -2.1787835847476791e+06 -2.1749367850981215e+06 -2.1707403850677256e+06 -2.1661323308194592e+06 -2.1610427296917788e+06 -2.1553914207559391e+06 -2.1490902650108384e+06 -2.1420423856066419e+06 -2.1341397999946363e+06 -2.1252677664306182e+06 -2.1153027799206167e+06 -2.1041174725187970e+06 -2.0915841080794428e+06 -2.0775809308152306e+06 -2.0620311913989394e+06 -2.0447974973872765e+06 -2.0258816595161387e+06 -2.0053274448005224e+06 -1.9832960695220027e+06 -1.9600618803298981e+06 -1.9361471267830511e+06 -1.9123469026840015e+06 -1.8898461379273010e+06 -1.8703679341741113e+06 -1.8563660306883280e+06 -1.8513493870936721e+06 -1.8603577382919183e+06 -1.8907837442094914e+06 -1.9538264678589895e+06 -2.0672259504909106e+06 -2.2607124091392742e+06 5.3232262619118766e+04 +1.4172102656987776e-02 6.3621502614443416e+04 2.2485842039674663e+05 5.0114270433276502e+05 8.5902892967337638e+05 1.2073933484557383e+06 1.4090288993876844e+06 1.4022405847891874e+06 1.2883113536172290e+06 1.1708196889699008e+06 1.0705217035691240e+06 9.7483438499874854e+05 8.8200938175832073e+05 7.9458655317217985e+05 7.1343517825600342e+05 6.3831429979290522e+05 5.6967110957103944e+05 5.0780675045489718e+05 4.5229301678413851e+05 4.0252103934437648e+05 3.5791492309831921e+05 3.1797103811446455e+05 2.8259729651705245e+05 2.5483315645550974e+05 2.4092892745447837e+05 2.2930383798560358e+05 2.0826631312904260e+05 1.8468725436485713e+05 1.6291091355329074e+05 1.4342008689220139e+05 1.2603772435993807e+05 1.1054925515634900e+05 9.6757121317495970e+04 8.4482790257858476e+04 7.3565027250094572e+04 6.3858019133043344e+04 5.5229611063654185e+04 4.7559703728086788e+04 4.0738777758143449e+04 3.4666545745408010e+04 2.9250697540256217e+04 2.4065468680570779e+04 1.9440730952473426e+04 1.5283968350898513e+04 1.1507450484590545e+04 8.0268367214753807e+03 4.7597208337327011e+03 1.6240194111994228e+03 -1.4639413577696553e+03 -4.5918526751508089e+03 -7.8546446606160389e+03 -1.1359534613116513e+04 -1.5230821633965203e+04 -1.9618993657909006e+04 -2.4718034681756548e+04 -3.0782180126647661e+04 -3.8159293379471099e+04 -4.7339529497773437e+04 -5.9034543485182090e+04 -7.4304234417634230e+04 -9.4757217780315754e+04 -1.2285749934885376e+05 -1.6232179593253788e+05 -2.1848622798075908e+05 -2.9828112924359710e+05 -4.0929242305719637e+05 -5.5755941862445232e+05 -7.4452424860600312e+05 -9.6449538482263079e+05 -1.2041523998108120e+06 -1.4449582973308258e+06 -1.6675887914095244e+06 -1.8565515195823566e+06 -2.0032953393395608e+06 -2.1070562900093021e+06 -2.1730760389104234e+06 -2.2101484874605797e+06 -2.2277013214383903e+06 -2.2337782882841062e+06 -2.2340330812787591e+06 -2.2325463894371563e+06 -2.2304209324774276e+06 -2.2279811287035458e+06 -2.2253191999932984e+06 -2.2225387094518184e+06 -2.2196035656205076e+06 -2.2165171170307156e+06 -2.2131552599793454e+06 -2.2095568787129428e+06 -2.2056557463621162e+06 -2.2014000758458991e+06 -2.1967269369431143e+06 -2.1915654496815037e+06 -2.1858343209662386e+06 -2.1794441667525792e+06 -2.1722967422258137e+06 -2.1642825396216842e+06 -2.1552851963517363e+06 -2.1451794631894161e+06 -2.1338361732984111e+06 -2.1211257862467077e+06 -2.1069248266075547e+06 -2.0911554608934873e+06 -2.0736783564572264e+06 -2.0544953495597085e+06 -2.0336508251806453e+06 -2.0113082768025461e+06 -1.9877459260269722e+06 -1.9634933985726445e+06 -1.9393570182625111e+06 -1.9165384508394431e+06 -1.8967851354721524e+06 -1.8825854681557361e+06 -1.8774979690200002e+06 -1.8866335547108653e+06 -1.9174892987324409e+06 -1.9814224396328700e+06 -2.0964235754428108e+06 -2.2926428203715119e+06 5.3888106303471490e+04 +1.4259448701510056e-02 6.3185520302166748e+04 2.2424381065941617e+05 5.0022330364392797e+05 8.5771570442078018e+05 1.2056999372073545e+06 1.4071229043301877e+06 1.4003557023297090e+06 1.2865656028443633e+06 1.1692161836885836e+06 1.0690411859100843e+06 9.7347095071831264e+05 8.8075861283747724e+05 7.9344112402408756e+05 7.1238675066324486e+05 6.3735471801671665e+05 5.6879182700428355e+05 5.0699909913808532e+05 4.5154895068074483e+05 4.0183329590992798e+05 3.5727697418793465e+05 3.1737700893740571e+05 2.8204168404185603e+05 2.5430907418629943e+05 2.4042710516162045e+05 2.2882317739043984e+05 2.0781135674042639e+05 1.8425734384856818e+05 1.6250283947392885e+05 1.4303057952127169e+05 1.2566381780065726e+05 1.1018828027350992e+05 9.6406670238358347e+04 8.4140681105270167e+04 7.3229270591280918e+04 6.3526785828585678e+04 5.4901201175488299e+04 4.7232515888638387e+04 4.0411278581202292e+04 3.4337238668713799e+04 2.8918090531479131e+04 2.3727618361118886e+04 1.9095795293430652e+04 1.4929965735266516e+04 1.1142196907574018e+04 7.6478722182444590e+03 4.3642210925044301e+03 1.2086869450615486e+03 -1.9030143373055282e+03 -5.0593612594580809e+03 -8.3563014542980036e+03 -1.1902387831061124e+04 -1.5823659800897691e+04 -2.0272906484044554e+04 -2.5447254865396266e+04 -3.1605210909793754e+04 -3.9100612936007237e+04 -4.8432114798082228e+04 -6.0323751935532062e+04 -7.5853806369533151e+04 -9.6658505184107664e+04 -1.2524319058333281e+05 -1.6538441631548601e+05 -2.2249862624428683e+05 -3.0361023110899312e+05 -4.1639213660046528e+05 -5.6692974411907070e+05 -7.5663591851508908e+05 -9.7969805287237465e+05 -1.2225953576185296e+06 -1.4665526084249069e+06 -1.6920220920222972e+06 -1.8833480219458521e+06 -2.0319015840567837e+06 -2.1369295494804033e+06 -2.2037490027851202e+06 -2.2412664635490589e+06 -2.2590263302822178e+06 -2.2651707286015605e+06 -2.2654221560649956e+06 -2.2639127180387941e+06 -2.2617566590711484e+06 -2.2592823152911058e+06 -2.2565829069006569e+06 -2.2537633307482083e+06 -2.2507869456108673e+06 -2.2476571339058955e+06 -2.2442480455471319e+06 -2.2405991102528214e+06 -2.2366431703669643e+06 -2.2323277113846377e+06 -2.2275889190325025e+06 -2.2223549173995131e+06 -2.2165432713502962e+06 -2.2100633408225551e+06 -2.2028155012124251e+06 -2.1946887061605146e+06 -2.1855649580602292e+06 -2.1753172482088069e+06 -2.1638145951619884e+06 -2.1509256384366699e+06 -2.1365251679493915e+06 -2.1205342564963349e+06 -2.1028116143864170e+06 -2.0833591035826288e+06 -2.0622217324292946e+06 -2.0395652915075470e+06 -2.0156719112375667e+06 -1.9910786579610473e+06 -1.9666031836798992e+06 -1.9434640361629156e+06 -1.9234332048970223e+06 -1.9090340454312768e+06 -1.9038750715439264e+06 -1.9131390036706466e+06 -1.9444282413954544e+06 -2.0092595811357009e+06 -2.1258763673433666e+06 -2.3248522804586315e+06 5.4552015593023556e+04 +1.4347333080510878e-02 6.2745502589691059e+04 2.2362538170573604e+05 4.9930045369156374e+05 8.5639950886956370e+05 1.2040039170454796e+06 1.4052143744171564e+06 1.3984680079644513e+06 1.2848166378310160e+06 1.1676090843082021e+06 1.0675567264488190e+06 9.7210325272535195e+05 8.7950329110950080e+05 7.9229088679657667e+05 7.1133329469862347e+05 6.3638992205552198e+05 5.6790717746629310e+05 5.0618595687474083e+05 4.5079929486926942e+05 4.0113988605425128e+05 3.5663330131493625e+05 3.1677721482767496e+05 2.8148027761418989e+05 2.5377915550070032e+05 2.3991933173704307e+05 2.2833643001105826e+05 2.0735024843379142e+05 1.8382126096893410e+05 1.6208858937398219e+05 1.4263490206884869e+05 1.2528375389733363e+05 1.0982116536128843e+05 9.6050098945224250e+04 8.3792472063625537e+04 7.2887432939906910e+04 6.3189487086794878e+04 5.4566736144972616e+04 4.6899275985497807e+04 4.0077721176920531e+04 3.4001855823437400e+04 2.8579376551957776e+04 2.3383609480636253e+04 1.8744627439456675e+04 1.4569631411401993e+04 1.0770481843537136e+04 7.2622810943087316e+03 3.9618882477814891e+03 7.8626637062755060e+02 -2.3494876849399766e+03 -5.5346505726751548e+03 -8.8662011563925826e+03 -1.2454045849643355e+04 -1.6425987823804939e+04 -2.0937148800687344e+04 -2.6187842247109638e+04 -3.2440904418502902e+04 -4.0056232618064358e+04 -4.9541098865702821e+04 -6.1632091568588585e+04 -7.7426127759893163e+04 -9.8587413485678218e+04 -1.2766314774235537e+05 -1.6849040412280272e+05 -2.2656672218483241e+05 -3.0901124023974274e+05 -4.2358404965713917e+05 -5.7641610933683964e+05 -7.6888969392540341e+05 -9.9506929013668641e+05 -1.2412318799032813e+06 -1.4883625431520531e+06 -1.7166892776207796e+06 -1.9103925976320400e+06 -2.0607662065356667e+06 -2.1670681180495252e+06 -2.2346915017488715e+06 -2.2726562293963190e+06 -2.2906240872867671e+06 -2.2968361219645422e+06 -2.2970840072217165e+06 -2.2955515859257802e+06 -2.2933646433420242e+06 -2.2908554538902263e+06 -2.2881182384542078e+06 -2.2852592366362792e+06 -2.2822412517930688e+06 -2.2790677001488092e+06 -2.2756109701312194e+06 -2.2719110415889886e+06 -2.2678998179912479e+06 -2.2635240510888211e+06 -2.2587190348804481e+06 -2.2534118888585563e+06 -2.2475190259452309e+06 -2.2409485390558541e+06 -2.2335994119364456e+06 -2.2253590462101735e+06 -2.2161077950493167e+06 -2.2057168749916246e+06 -2.1940534742118237e+06 -2.1809843963654283e+06 -2.1663826816578154e+06 -2.1501682995802499e+06 -2.1321979865224352e+06 -2.1124736303156102e+06 -2.0910408680824919e+06 -2.0680678074660155e+06 -2.0438405216645284e+06 -2.0189035822862810e+06 -1.9940860679470289e+06 -1.9706235550367620e+06 -1.9503127967725426e+06 -1.9357124119452487e+06 -1.9304813423364481e+06 -1.9398747359966673e+06 -1.9716012336589249e+06 -2.0373385758851601e+06 -2.1555850493798885e+06 -2.3573415802641073e+06 5.5224089406193409e+04 +1.4435759111873865e-02 6.2301397237995152e+04 2.2300308952932802e+05 4.9837412194646214e+05 8.5508026878728135e+05 1.2023052405478386e+06 1.4033032527562904e+06 1.3965774579111626e+06 1.2830644177115276e+06 1.1659983525906380e+06 1.0660682893730761e+06 9.7073126060200552e+05 8.7824338789885677e+05 7.9113581433198077e+05 7.1027478459935333e+05 6.3541988714960078e+05 5.6701713692631677e+05 5.0536730008239491e+05 4.5004402591907023e+05 4.0044078633666754e+05 3.5598388081868406e+05 3.1617163175017195e+05 2.8091305273006816e+05 2.5324337572110619e+05 2.3940558353221024e+05 2.2784357346960192e+05 2.0688296588527772e+05 1.8337898274510039e+05 1.6166813937001125e+05 1.4223302960456203e+05 1.2489750655633194e+05 1.0944788306438971e+05 9.5687378735125065e+04 8.3438133007133452e+04 7.2539482678796892e+04 6.2846089734255431e+04 5.4226181177748957e+04 4.6559947535509084e+04 3.9738067298186914e+04 3.3660357112036232e+04 2.8234513550931093e+04 2.3033397751592853e+04 1.8387180689941099e+04 1.4202916047053619e+04 1.0392253057133708e+04 6.8700078747425860e+03 3.5526631689271089e+03 3.5669438825892541e+02 -2.8034295007137771e+03 -6.0177942902201676e+03 -9.3844239673134871e+03 -1.3014596559948643e+04 -1.7037902718804417e+04 -2.1611828529693128e+04 -2.6939917907673243e+04 -3.3289397797900157e+04 -4.1026309469702028e+04 -5.0666663808960751e+04 -6.2959776632754380e+04 -7.9021454757725660e+04 -1.0054425422099384e+05 -1.3011775564716701e+05 -1.7164023962324605e+05 -2.3069111528436193e+05 -3.1448489462572284e+05 -4.3086904507689190e+05 -5.8601952832007175e+05 -7.8128668531482748e+05 -1.0106102545592617e+06 -1.2600631210092516e+06 -1.5103892112349204e+06 -1.7415913896056619e+06 -1.9376862139933100e+06 -2.0898901080365123e+06 -2.1974728459119727e+06 -2.2659043511316371e+06 -2.3043185791035779e+06 -2.3224953748909682e+06 -2.3287752448730124e+06 -2.3290194082382810e+06 -2.3274637652337351e+06 -2.3252456563664195e+06 -2.3227013146153726e+06 -2.3199259638101044e+06 -2.3170271953069125e+06 -2.3139672513403269e+06 -2.3107495818666304e+06 -2.3072447986715613e+06 -2.3034934364148960e+06 -2.2994264515847461e+06 -2.2949898558400669e+06 -2.2901180437520151e+06 -2.2847371215421315e+06 -2.2787623402533298e+06 -2.2721005147401765e+06 -2.2646492252162965e+06 -2.2562943078231332e+06 -2.2469144522623057e+06 -2.2363790849814876e+06 -2.2245535479729371e+06 -2.2113027931647464e+06 -2.1964980959574841e+06 -2.1800583129191231e+06 -2.1618381895958576e+06 -2.1418396398577457e+06 -2.1201089350374094e+06 -2.0968165198527358e+06 -2.0722524443374916e+06 -2.0469688501942402e+06 -2.0218063413696948e+06 -1.9980176698788814e+06 -1.9774245666898540e+06 -1.9626212183759569e+06 -1.9573174303229682e+06 -1.9668414037704605e+06 -1.9990089382743640e+06 -2.0656601087249115e+06 -2.1855503461431060e+06 -2.3901115121859089e+06 5.5904427869477178e+04 +1.4524730133931551e-02 6.1853153734247273e+04 2.2237687676705583e+05 4.9744425119002716e+05 8.5375796841012232e+05 1.2006038579416650e+06 1.4013894955116706e+06 1.3946839986021267e+06 1.2813089067619871e+06 1.1643839516790076e+06 1.0645758409007676e+06 9.6935494347543910e+05 8.7697887359046307e+05 7.8997587857849279e+05 7.0921119359822234e+05 6.3444458759711601e+05 5.6612168037096690e+05 5.0454310417815216e+05 4.4928311939301621e+05 3.9973597230342758e+05 3.5532868803698494e+05 3.1556023467610648e+05 2.8033998390174302e+05 2.5270170919072803e+05 2.3888583590967077e+05 2.2734458438813229e+05 2.0640948577604521e+05 1.8293048521436637e+05 1.6124146461174180e+05 1.4182493624877196e+05 1.2450504875317198e+05 1.0906840511443053e+05 9.5318480010474887e+04 8.3077632933052038e+04 7.2185387330897152e+04 6.2496559753722191e+04 5.3879500650619710e+04 4.6214493239959564e+04 3.9392277893748178e+04 3.3312701642080276e+04 2.7883458690285417e+04 2.2676938103931705e+04 1.8023407563458186e+04 1.3829769527087628e+04 1.0007457523919533e+04 6.4709962845293485e+03 3.1364859086779361e+03 -8.0093141346502861e+01 -3.2649087552381702e+03 -6.5088669986796576e+03 -9.9110510513336667e+03 -1.3584128884997135e+04 -1.7659502621580155e+04 -2.2297054824537827e+04 -2.7703604302363812e+04 -3.4150829749004595e+04 -4.2011002321032589e+04 -5.1808993815207243e+04 -6.4307023830669234e+04 -8.0640046470374000e+04 -1.0252934248655211e+05 -1.3260740346304141e+05 -1.7483440836842605e+05 -2.3487241133098016e+05 -3.2003193951812031e+05 -4.3824801365898654e+05 -5.9574102330861276e+05 -7.9382801109281927e+05 -1.0263221113147043e+06 -1.2790902415453338e+06 -1.5326337276120258e+06 -1.7667294736032914e+06 -1.9652298417904163e+06 -2.1192741925882869e+06 -2.2281445855929507e+06 -2.2973883683054731e+06 -2.3362543086394472e+06 -2.3546409773193318e+06 -2.3609888755815541e+06 -2.3612291343274056e+06 -2.3596500298326467e+06 -2.3574004709396791e+06 -2.3548206692990582e+06 -2.3520068538418021e+06 -2.3490679766606791e+06 -2.3459657131332695e+06 -2.3427035468669152e+06 -2.3391502978125769e+06 -2.3353470601323000e+06 -2.3312238351938664e+06 -2.3267258882111665e+06 -2.3217867066029720e+06 -2.3163313746156851e+06 -2.3102739714514567e+06 -2.3035200228426987e+06 -2.2959656935430747e+06 -2.2874952407117598e+06 -2.2779856762958127e+06 -2.2673046212781398e+06 -2.2553155556124705e+06 -2.2418815635982663e+06 -2.2268721406961032e+06 -2.2102050208926233e+06 -2.1917329419335984e+06 -2.1714578438921254e+06 -2.1494266377554107e+06 -2.1258121253891992e+06 -2.1009083678158377e+06 -2.0752751418432486e+06 -2.0497646757440723e+06 -2.0256470445802249e+06 -2.0047691716981272e+06 -1.9897611168552847e+06 -1.9843839858716819e+06 -1.9940396605229881e+06 -2.0266520194623775e+06 -2.0942248660236453e+06 -2.2157729838396432e+06 -2.4231628703807420e+06 5.6593132332102803e+04 +1.4614249505591405e-02 6.1400719172679084e+04 2.2174669391153316e+05 4.9651077881670406e+05 8.5243252801074367e+05 1.1988997205669151e+06 1.3994730491871948e+06 1.3927875963456456e+06 1.2795500626802756e+06 1.1627658436310340e+06 1.0630793467723213e+06 9.6797426916535490e+05 8.7570971755122044e+05 7.8881105044866656e+05 7.0814249390835210e+05 6.3346399672535621e+05 5.6522078179361392e+05 5.0371334356489580e+05 4.4851654985046573e+05 3.9902541848582070e+05 3.5466769730388641e+05 3.1494299757992302e+05 2.7976104465073923e+05 2.5215412926969957e+05 2.3836006323768053e+05 2.2683943838398505e+05 2.0592978378621908e+05 1.8247574342590282e+05 1.6080853927784640e+05 1.4141059516715736e+05 1.2410635252564657e+05 1.0868270232357588e+05 9.4943372271625180e+04 8.2710939953826979e+04 7.1825113550933369e+04 6.2140862275532701e+04 5.3526658102075431e+04 4.5862874974539845e+04 3.9040313097932027e+04 3.2958847715896212e+04 2.7526168333350994e+04 2.2314184673498130e+04 1.7653259785599315e+04 1.3450140940783916e+04 9.6160414170635504e+03 6.0651892346591630e+03 2.7132956885877652e+03 -5.2416121244231113e+02 -3.7339953057463804e+03 -7.0079442126881731e+03 -1.0446164554429031e+04 -1.4162732798617037e+04 -1.8290886807284027e+04 -2.2992938091661759e+04 -2.8479025283963329e+04 -3.5025340553938739e+04 -4.3010471816120233e+04 -5.2968275182275822e+04 -6.5674052355830529e+04 -8.2282164985936572e+04 -1.0454299698977612e+05 -1.3513248475967057e+05 -1.7807340126341095e+05 -2.3911122249848684e+05 -3.2565312752068974e+05 -4.4572185424930113e+05 -6.0558162483577814e+05 -8.0651479770734557e+05 -1.0422060329284859e+06 -1.2983144085144117e+06 -1.5550972125851316e+06 -1.7921045796418344e+06 -1.9930244553763072e+06 -2.1489193671960365e+06 -2.2590841921574729e+06 -2.3291443729028008e+06 -2.3684642160711805e+06 -2.3870616808084333e+06 -2.3934777943153325e+06 -2.3937139626647620e+06 -2.3921111555308020e+06 -2.3898298618001342e+06 -2.3872142917133439e+06 -2.3843616813605763e+06 -2.3813823525268501e+06 -2.3782374079851792e+06 -2.3749303648910266e+06 -2.3713282361284709e+06 -2.3674726800665143e+06 -2.3632927347886716e+06 -2.3587329126936365e+06 -2.3537257863016659e+06 -2.3481954091542326e+06 -2.3420546786298016e+06 -2.3352078202274288e+06 -2.3275495712988554e+06 -2.3189625964779453e+06 -2.3093222156256908e+06 -2.2984942288456825e+06 -2.2863402381582269e+06 -2.2727214442807385e+06 -2.2575055475502927e+06 -2.2406091497058021e+06 -2.2218829636713862e+06 -2.2013289558916749e+06 -2.1789946824690374e+06 -2.1550553225491690e+06 -2.1298089823911195e+06 -2.1038231391033675e+06 -2.0779617445605977e+06 -2.0535123447035893e+06 -2.0323472705001791e+06 -2.0171327611550631e+06 -2.0116816609875706e+06 -2.0214701614350902e+06 -2.0545311431152425e+06 -2.1230335358740268e+06 -2.2462536904985127e+06 -2.4564964510101876e+06 5.7290305380871403e+04 +1.4704320606462644e-02 6.0944039834365460e+04 2.2111248514294371e+05 4.9557366294623044e+05 8.5110390231823886e+05 1.1971927756044359e+06 1.3975538716753074e+06 1.3908882090768695e+06 1.2777878385710721e+06 1.1611439896277192e+06 1.0615787709287747e+06 9.6658920341460407e+05 8.7443588805614051e+05 7.8764129975747445e+05 7.0706865670367097e+05 6.3247808684501227e+05 5.6431441416360869e+05 5.0287799161687074e+05 4.4774429084674513e+05 3.9830909839688276e+05 3.5400088194381550e+05 3.1431989343462116e+05 2.7917620750534162e+05 2.5160060832984766e+05 2.3782823888671442e+05 2.2632811006555261e+05 2.0544383459108730e+05 1.8201473143692708e+05 1.6036933656906715e+05 1.4098997856413189e+05 1.2370138896773428e+05 1.0829074457709836e+05 9.4562024109389487e+04 8.2338021289328884e+04 7.1458627117089505e+04 6.1778961568323903e+04 5.3167616223063815e+04 4.5505053779916561e+04 3.8682132220484062e+04 3.2598752819860245e+04 2.7162598033725433e+04 2.1945090790409056e+04 1.7276688276819954e+04 1.3063978569149591e+04 9.2179500940662419e+03 5.6525288081975668e+03 2.2830308844326732e+03 -9.7557568955675129e+02 -4.2107599122336896e+03 -7.5151023919313884e+03 -1.0989847622171244e+04 -1.4750499344402919e+04 -1.8932155710807707e+04 -2.3699590012104549e+04 -2.9266306126139374e+04 -3.5913072101195918e+04 -4.4024880441382506e+04 -5.4144696350833859e+04 -6.7061083929689150e+04 -8.3948075416780033e+04 -1.0658554010048360e+05 -1.3769339757210188e+05 -1.8135771463771831e+05 -2.4340816742948140e+05 -3.3134921867794218e+05 -4.5329147383788531e+05 -6.1554237183496892e+05 -8.1934817975259840e+05 -1.0582631993892572e+06 -1.3177367954440396e+06 -1.5777807919622823e+06 -1.8177177623153764e+06 -2.0210710328771705e+06 -2.1788265420361804e+06 -2.2902925234196633e+06 -2.3611731870346353e+06 -2.4009491017887541e+06 -2.4197582738278639e+06 -2.4262427834919617e+06 -2.4264746725911694e+06 -2.4248479203152126e+06 -2.4225346058570053e+06 -2.4198829577955888e+06 -2.4169912213391028e+06 -2.4139710969085591e+06 -2.4107831088688620e+06 -2.4074308078345698e+06 -2.4037793843433787e+06 -2.3998710656857472e+06 -2.3956339184800661e+06 -2.3910116959162597e+06 -2.3859360478498023e+06 -2.3803299883646923e+06 -2.3741052229963541e+06 -2.3671646658773529e+06 -2.3594016149802706e+06 -2.3506971288223504e+06 -2.3409248208207092e+06 -2.3299486547360006e+06 -2.3176283387080799e+06 -2.3038231738848230e+06 -2.2883990502519975e+06 -2.2712714275937611e+06 -2.2522889769558161e+06 -2.2314536913248589e+06 -2.2088137773897876e+06 -2.1845468117624340e+06 -2.1589549802879342e+06 -2.1326135257515707e+06 -2.1063982231883397e+06 -2.0816142376739101e+06 -2.0601595236403232e+06 -2.0447368068775395e+06 -2.0392111094992717e+06 -2.0491335635163214e+06 -2.0826469769886734e+06 -2.1520868082984830e+06 -2.2769931961863060e+06 -2.4901130524553801e+06 5.7996050855166221e+04 +1.4794946836983822e-02 6.0483062310194568e+04 2.2047419786203199e+05 4.9463285380699387e+05 8.4977204864295118e+05 1.1954829706197081e+06 1.3956319195527867e+06 1.3889857806383222e+06 1.2760221975013423e+06 1.1595183472703609e+06 1.0600740757820588e+06 9.6519971027226932e+05 8.7315735205027182e+05 7.8646659528961463e+05 7.0598965211283776e+05 6.3148682922462816e+05 5.6340254940595175e+05 5.0203702066571545e+05 4.4696631492367777e+05 3.9758698452923406e+05 3.5332821427033033e+05 3.1369089420724334e+05 2.7858544399401214e+05 2.5104111774988504e+05 2.3729033522448738e+05 2.2581057302750516e+05 2.0495161185560023e+05 1.8154742230612246e+05 1.5992382870346721e+05 1.4056305767683245e+05 1.2329012822271425e+05 1.0789250082649391e+05 9.4174403197591309e+04 8.1958843258757144e+04 7.1085892922580737e+04 6.1410821030649939e+04 5.2802336847631203e+04 4.5140989851764964e+04 3.8317693736399968e+04 3.2232373613671887e+04 2.6792702524276585e+04 2.1569608967402452e+04 1.6893643140247372e+04 1.2671229872176960e+04 8.8131280834463560e+03 5.2329562463629200e+03 1.8456290115716965e+03 -1.4344033228660455e+03 -4.6952742536167852e+03 -8.0304189581683449e+03 -1.1542184417748185e+04 -1.5347520654769361e+04 -1.9583410946882803e+04 -2.4417123563049485e+04 -3.0065573546735839e+04 -3.6814167911668839e+04 -4.5054392554130478e+04 -5.5338447936705314e+04 -6.8468342838786790e+04 -8.5638045943260367e+04 -1.0865729790214603e+05 -1.4029054446179749e+05 -1.8468785031797824e+05 -2.4776387131697958e+05 -3.3712098056885117e+05 -4.6095778765423637e+05 -6.2562431173923833e+05 -8.3232930007994524e+05 -1.0744947982714223e+06 -1.3373585825166171e+06 -1.6006855972107821e+06 -1.8435700809484599e+06 -2.0493705563882170e+06 -2.2089966306629740e+06 -2.3217704401572351e+06 -2.3934756355038453e+06 -2.4337097687174580e+06 -2.4527315473066797e+06 -2.4592846279488243e+06 -2.4595120458608177e+06 -2.4578611045622304e+06 -2.4555154824058260e+06 -2.4528274458731227e+06 -2.4498962511385973e+06 -2.4468349861777229e+06 -2.4436035911354194e+06 -2.4402056499661631e+06 -2.4365045155546535e+06 -2.4325429888314004e+06 -2.4282481567451702e+06 -2.4235630068698511e+06 -2.4184182586043542e+06 -2.4127358778008018e+06 -2.4064263681037049e+06 -2.3993913211154970e+06 -2.3915225834057066e+06 -2.3826995937705268e+06 -2.3727942447595485e+06 -2.3616686482996913e+06 -2.3491806026499360e+06 -2.3351874933560789e+06 -2.3195533847854603e+06 -2.3021925850321744e+06 -2.2829517061591791e+06 -2.2618327678585313e+06 -2.2388846329060155e+06 -2.2142872956128302e+06 -2.1883470558573538e+06 -2.1616469876679471e+06 -2.1350747890804862e+06 -2.1099533929687729e+06 -2.0882065936984876e+06 -2.0725739116377162e+06 -2.0669729872506680e+06 -2.0770305257991161e+06 -2.1110001908917241e+06 -2.1813853754402143e+06 -2.3079922332165521e+06 -2.5240134755617040e+06 5.8710473862150204e+04 +1.4886131618551205e-02 6.0017732083952367e+04 2.1983177752645480e+05 4.9368828142084827e+05 8.4843688813244295e+05 1.1937702540104785e+06 1.3937071312948032e+06 1.3870802643683136e+06 1.2742530950423018e+06 1.1578888772358771e+06 1.0585652230706755e+06 9.6380575269499409e+05 8.7187407530261762e+05 7.8528690491470334e+05 7.0490544926681975e+05 6.3049019408235257e+05 5.6248515838840918e+05 5.0119040199903230e+05 4.4618259360022156e+05 3.9685904835324798e+05 3.5264966557765531e+05 3.1305597085514333e+05 2.7798872464234859e+05 2.5047562791183390e+05 2.3674632361151947e+05 2.2528679984491644e+05 2.0445308822966251e+05 1.8107378808930024e+05 1.5947198690961857e+05 1.4012980276919273e+05 1.2287253947671341e+05 1.0748793908255531e+05 9.3780476285580269e+04 8.1573371272589939e+04 7.0706874967231182e+04 6.1036403181729453e+04 5.2430780943755715e+04 4.4770642531030899e+04 3.7946955275728185e+04 3.1859665919732925e+04 2.6416435705964108e+04 2.1187690888189027e+04 1.6504073649571630e+04 1.2271841476148644e+04 8.4015190713954198e+03 4.8064119345250620e+03 1.4010267102942184e+03 -1.9007117636115463e+03 -5.1876109439803959e+03 -8.5539723123917538e+03 -1.2103260140103499e+04 -1.5953889970142161e+04 -2.0244755330755386e+04 -2.5145653039903958e+04 -3.0876955731559596e+04 -3.7728773164322884e+04 -4.6099174411485183e+04 -5.6549722763488935e+04 -6.9896055972585760e+04 -8.7352347857704139e+04 -1.1075860024502968e+05 -1.4292433257914500e+05 -1.8806431570018074e+05 -2.5217896598793031e+05 -3.4296918839651631e+05 -4.6872171926622209e+05 -6.3582850058526022e+05 -8.4545930990100687e+05 -1.0909020248484330e+06 -1.3571809567047018e+06 -1.6238127656067610e+06 -1.8696625997699914e+06 -2.0779240121413618e+06 -2.2394305501949848e+06 -2.3535188063113932e+06 -2.4260525460268958e+06 -2.4667470225411630e+06 -2.4859822948516365e+06 -2.4926041151671507e+06 -2.4928268668450811e+06 -2.4911514912717072e+06 -2.4887732733548740e+06 -2.4860485368779902e+06 -2.4830775507166525e+06 -2.4799747993145855e+06 -2.4766996327284086e+06 -2.4732556681478363e+06 -2.4695044054423524e+06 -2.4654892239246713e+06 -2.4611362226407630e+06 -2.4563876171194538e+06 -2.4511731884932481e+06 -2.4454138455797979e+06 -2.4390188800644050e+06 -2.4318885498053031e+06 -2.4239132379413326e+06 -2.4149707498743450e+06 -2.4049312428454701e+06 -2.3936549613917153e+06 -2.3809977778676134e+06 -2.3668151461240188e+06 -2.3509692896056855e+06 -2.3333733549447218e+06 -2.3138718780790931e+06 -2.2924669055703105e+06 -2.2692079617826836e+06 -2.2442774790373631e+06 -2.2179859057793426e+06 -2.1909242130323783e+06 -2.1639921219555545e+06 -2.1385304823100506e+06 -2.1164891454697903e+06 -2.1006447352589541e+06 -2.0949679522774096e+06 -2.1051617095234841e+06 -2.1395914568828149e+06 -2.2109299317557989e+06 -2.3392515363583253e+06 -2.5581985238515125e+06 5.9433680792139727e+04 +1.4977878393647941e-02 5.9547993708737915e+04 2.1918517124748818e+05 4.9273990095755440e+05 8.4709839112478553e+05 1.1920545680677602e+06 1.3917794593389106e+06 1.3851716242615033e+06 1.2724804824468417e+06 1.1562555386103855e+06 1.0570521736389685e+06 9.6240729313704174e+05 8.7058602279173769e+05 7.8410219559776469e+05 7.0381601636232575e+05 6.2948815059414657e+05 5.6156221093293396e+05 5.0033810586429451e+05 4.4539309735574527e+05 3.9612526031314331e+05 3.5196520613922522e+05 3.1241509332054347e+05 2.7738601896689873e+05 2.4990410819488720e+05 2.3619617439682013e+05 2.2475676207041906e+05 2.0394823534265088e+05 1.8059379983300861e+05 1.5901378142167599e+05 1.3969018312520013e+05 1.2244859095154618e+05 1.0707702640784298e+05 9.3380209190456721e+04 8.1181569824800084e+04 7.0321536348896974e+04 6.0655669652897101e+04 5.2052908603755059e+04 4.4393970294154773e+04 3.7569873613183518e+04 3.1480584712459600e+04 2.6033750636603276e+04 2.0799287395773808e+04 1.6107928236766464e+04 1.1865759160803005e+04 7.9830658884402774e+03 4.3728353882192205e+03 9.4915973110316270e+02 -2.3745695795712413e+03 -5.6878435488820314e+03 -9.0858418520390260e+03 -1.2673161042118953e+04 -1.6569701658363359e+04 -2.0916292898578005e+04 -2.5885294078241419e+04 -3.1700582358317100e+04 -3.8657034722554119e+04 -4.7159394199693386e+04 -5.7778715895801404e+04 -7.1344452861645055e+04 -8.9091255609458269e+04 -1.1288978079843000e+05 -1.4559517372574712e+05 -1.9148762382314494e+05 -2.5665408998647766e+05 -3.4889462508183136e+05 -4.7658420067887590e+05 -6.4615600311611034e+05 -8.5873936890177499e+05 -1.1074860822123429e+06 -1.3772051118944429e+06 -1.6471634403745958e+06 -1.8959963880645009e+06 -2.1067323906959440e+06 -2.2701292215234949e+06 -2.3855384892014335e+06 -2.4589047494397420e+06 -2.5000616719199987e+06 -2.5195113129659677e+06 -2.5262020354790860e+06 -2.5264199227533252e+06 -2.5247198662684793e+06 -2.5223087634477322e+06 -2.5195470145713463e+06 -2.5165359028655435e+06 -2.5133913181168647e+06 -2.5100720144142671e+06 -2.5065816420602542e+06 -2.5027798325072639e+06 -2.4987105481961872e+06 -2.4942988920225771e+06 -2.4894863010237417e+06 -2.4842016102324389e+06 -2.4783646626026551e+06 -2.4718835277596866e+06 -2.4646571185848373e+06 -2.4565743427083930e+06 -2.4475113584375526e+06 -2.4373365732148672e+06 -2.4259083485976020e+06 -2.4130806149541968e+06 -2.3987068783094571e+06 -2.3826475058334204e+06 -2.3648144729088196e+06 -2.3450502221457805e+06 -2.3233568271394819e+06 -2.2997844793713191e+06 -2.2745180695244060e+06 -2.2478722292557573e+06 -2.2204458925161054e+06 -2.1931509039940280e+06 -2.1673461798496526e+06 -2.1450078461634223e+06 -2.1289499399498170e+06 -2.1231966650004797e+06 -2.1335277783255256e+06 -2.1684214494464896e+06 -2.2407211742270892e+06 -2.3707718430384118e+06 -2.5926690037630564e+06 6.0165779334164814e+04 +1.5070190625974018e-02 5.9073791770339674e+04 2.1853431972347639e+05 4.9178764920476347e+05 8.4575648996391788e+05 1.1903358722846867e+06 1.3898488594110655e+06 1.3832597972204834e+06 1.2707043174865670e+06 1.1546182895345278e+06 1.0555348868521452e+06 9.6100429441335925e+05 8.6929315872554190e+05 7.8291243328124494e+05 7.0272132067438751e+05 6.2848066689838166e+05 5.6063367583048798e+05 4.9948010147684353e+05 4.4459779562296811e+05 3.9538558982498985e+05 3.5127480520071456e+05 3.1176823052563833e+05 2.7677729547078471e+05 2.4932652697041866e+05 2.3563985691244531e+05 2.2422043022751639e+05 2.0343702379827740e+05 1.8010742756978591e+05 1.5854918147276924e+05 1.3924416704274615e+05 1.2201824989869693e+05 1.0665972890974644e+05 9.2973566789566117e+04 8.0783402484407998e+04 6.9929839255150946e+04 6.0268581178220920e+04 5.1668679035006899e+04 4.4010930743251200e+04 3.7186404658017818e+04 3.1095084107454670e+04 2.5644599519782638e+04 2.0404348480810084e+04 1.5705154479913414e+04 1.1452927846601020e+04 7.5577104960168572e+03 3.9321652390980807e+03 4.8996291997090850e+02 -2.8560462705785494e+03 -6.1960466017177851e+03 -9.6261079882936065e+03 -1.3251974448978568e+04 -1.7195051234079961e+04 -2.1598128928288850e+04 -2.6636163676191456e+04 -3.2536584620679401e+04 -3.9599101160681901e+04 -4.8235222063431691e+04 -5.9025624672534614e+04 -7.2813765716053211e+04 -9.0855046849665407e+04 -1.1505117710416105e+05 -1.4830348441778406e+05 -1.9495829344288484e+05 -2.6118988865860764e+05 -3.5489808135499008e+05 -4.8454617243249476e+05 -6.5660789288334572e+05 -8.7217064534680918e+05 -1.1242481813912569e+06 -1.3974322490200112e+06 -1.6707387708386499e+06 -1.9225725203471943e+06 -2.1357966871218770e+06 -2.3010935694943224e+06 -2.4178303597221063e+06 -2.4920330799122672e+06 -2.5336545287039359e+06 -2.5533194012634349e+06 -2.5600791822996754e+06 -2.5602920038631917e+06 -2.5585670184412482e+06 -2.5561227404694320e+06 -2.5533236657563662e+06 -2.5502720934073417e+06 -2.5470853274176903e+06 -2.5437215199900288e+06 -2.5401843544039857e+06 -2.5363315782613335e+06 -2.5322077418898018e+06 -2.5277369437576816e+06 -2.5228598359503411e+06 -2.5175042995347064e+06 -2.5115891027586581e+06 -2.5050210830604755e+06 -2.4976977970661316e+06 -2.4895066647914890e+06 -2.4803221837146031e+06 -2.4700109969479572e+06 -2.4584295674267677e+06 -2.4454298674132139e+06 -2.4308634389286656e+06 -2.4145887774768402e+06 -2.3965166773548387e+06 -2.3764874706177865e+06 -2.3545032580556110e+06 -2.3306149037998524e+06 -2.3050097773134168e+06 -2.2780067282021595e+06 -2.2502127194703417e+06 -2.2225518200257150e+06 -2.1964011623592679e+06 -2.1737633655710020e+06 -2.1574901904918868e+06 -2.1516597884065956e+06 -2.1621293984137606e+06 -2.1974908456902946e+06 -2.2707598025348354e+06 -2.4025538935497021e+06 -2.6274257248587208e+06 6.0906878491721640e+04 +1.5163071800577035e-02 5.8595070511326900e+04 2.1787916859200809e+05 4.9083148439969728e+05 8.4441113085095619e+05 1.1886140908452522e+06 1.3879152620147748e+06 1.3813447442580629e+06 1.2689245497894112e+06 1.1529770863311656e+06 1.0540133210733437e+06 9.5959671889021876e+05 8.6799544641310733e+05 7.8171758280064107e+05 7.0162132849030767e+05 6.2746771010538633e+05 5.5969952085779107e+05 4.9861635702604067e+05 4.4379665678128984e+05 3.9464000527227757e+05 3.5057843097442045e+05 3.1111535036684765e+05 2.7616252164035634e+05 2.4874285159783947e+05 2.3507733946950192e+05 2.2367777380558653e+05 2.0291942316899943e+05 1.7961464031175800e+05 1.5807815528914199e+05 1.3879172182722407e+05 1.2158148259159665e+05 1.0623601173317216e+05 9.2560513012957235e+04 8.0378831887680266e+04 6.9531744954494148e+04 5.9875097585824333e+04 5.1278050550556130e+04 4.3621480596223861e+04 3.6796503443573441e+04 3.0703117350853183e+04 2.5248933693544845e+04 2.0002823269786793e+04 1.5295699090899085e+04 1.1033291581878977e+04 7.1253939730688480e+03 3.4843392208513123e+03 2.3370203543036922e+01 -3.3452122841050696e+03 -6.7122956201566640e+03 -1.0174852163455149e+04 -1.3839788776557843e+04 -1.7830035378381694e+04 -2.2290369960522072e+04 -2.7398380216858426e+04 -3.3385095252747706e+04 -4.0555122790617163e+04 -4.9326830135675991e+04 -6.0290648740903933e+04 -7.4304229464576958e+04 -9.2644002477102869e+04 -1.1724313063087194e+05 -1.5104968595016375e+05 -1.9847684910709405e+05 -2.6578701423786039e+05 -3.6098035585029394e+05 -4.9260858370255923e+05 -6.6718525235145865e+05 -8.8575431619009736e+05 -1.1411895414606931e+06 -1.4178635761908388e+06 -1.6945399125681974e+06 -1.9493920765218204e+06 -2.1651179011729150e+06 -2.3323245231123250e+06 -2.4503952925562346e+06 -2.5254383751589758e+06 -2.5675264081443315e+06 -2.5874073626922988e+06 -2.5942363523334763e+06 -2.5944439037180082e+06 -2.5926937399381963e+06 -2.5902159954746873e+06 -2.5873792804985964e+06 -2.5842869114241246e+06 -2.5810576153030335e+06 -2.5776489364940296e+06 -2.5740645911260890e+06 -2.5701604274579175e+06 -2.5659815884837401e+06 -2.5614511599433790e+06 -2.5565090024809521e+06 -2.5510820353312935e+06 -2.5450879431509450e+06 -2.5384323210323416e+06 -2.5310113580451040e+06 -2.5227109744603974e+06 -2.5134039931336809e+06 -2.5029552782769040e+06 -2.4912193785303608e+06 -2.4780462918706201e+06 -2.4632855801022383e+06 -2.4467938516162140e+06 -2.4284807097792225e+06 -2.4081843587931977e+06 -2.3859069268103405e+06 -2.3616999561665128e+06 -2.3357533155808435e+06 -2.3083901074427981e+06 -2.2802253901207168e+06 -2.2521955577170094e+06 -2.2256961094109635e+06 -2.2027563762609004e+06 -2.1862661544191730e+06 -2.1803579882262745e+06 -2.1909672387627363e+06 -2.2268003255260834e+06 -2.3010465192566719e+06 -2.4345984312470322e+06 -2.6624695000579976e+06 6.1657088598702983e+04 +1.5256525423983772e-02 5.8111770677635926e+04 2.1721966108534913e+05 4.8987133212985971e+05 8.4306225404536317e+05 1.1868891763484597e+06 1.3859786219306123e+06 1.3794264134021045e+06 1.2671411346584095e+06 1.1513318812639362e+06 1.0524874354324644e+06 9.5818452711578330e+05 8.6669284821684856e+05 7.8051760794015403e+05 7.0051600503455685e+05 6.2644924630535836e+05 5.5875971278039447e+05 4.9774683967347199e+05 4.4298964815689961e+05 3.9388847400178900e+05 3.4987605063591938e+05 3.1045641971098655e+05 2.7554166393920971e+05 2.4815304841868090e+05 2.3450858935238226e+05 2.2312876125550966e+05 2.0239540199118070e+05 1.7911540604543081e+05 1.5760067008421433e+05 1.3833281378456877e+05 1.2113825431920004e+05 1.0580583905294405e+05 9.2141010834869026e+04 7.9967819729799405e+04 6.9127213787775341e+04 5.9475177788580637e+04 5.0880980559542470e+04 4.3225575676733584e+04 3.6400124117062740e+04 3.0304636808489508e+04 2.4846703619213615e+04 1.9594660013361732e+04 1.4879507903176118e+04 1.0606793530001654e+04 6.6860565025728993e+03 3.0292941550803566e+03 -4.5068542570283171e+02 -3.8421390308877831e+03 -7.2366671226620674e+03 -1.0732156868428845e+04 -1.4436693549996084e+04 -1.8474751958472025e+04 -2.2993123819609646e+04 -2.8172063490963013e+04 -3.4246248553519741e+04 -4.1525251688950215e+04 -5.0434392568049625e+04 -6.1573990090205218e+04 -7.5816081793844554e+04 -9.4458406684019326e+04 -1.1946598682782766e+05 -1.5383420446057498e+05 -2.0204382123022957e+05 -2.7044612593006657e+05 -3.6714225519934797e+05 -5.0077239239837666e+05 -6.7788917300311546e+05 -8.9949156718274765e+05 -1.1583113896694642e+06 -1.4385003088222474e+06 -1.7185680275198880e+06 -1.9764561420483002e+06 -2.1946970374618941e+06 -2.3638230157224359e+06 -2.4832341663608304e+06 -2.5591214766430166e+06 -2.6016781291052541e+06 -2.6217760037362692e+06 -2.6286743457890782e+06 -2.6288764193553035e+06 -2.6271008263879502e+06 -2.6245893229863183e+06 -2.6217146523298817e+06 -2.6185811494645262e+06 -2.6153089733192297e+06 -2.6118550544278803e+06 -2.6082231416245345e+06 -2.6042671682991562e+06 -2.6000328748993468e+06 -2.5954423261083174e+06 -2.5904345846343115e+06 -2.5849355999736423e+06 -2.5788619642925179e+06 -2.5721180201467131e+06 -2.5645985777224884e+06 -2.5561880453597992e+06 -2.5467575574867376e+06 -2.5361701847906145e+06 -2.5242785458989707e+06 -2.5109306482808827e+06 -2.4959740572566045e+06 -2.4792634786219201e+06 -2.4607073149262434e+06 -2.4401416251942231e+06 -2.4175685650946209e+06 -2.3930403607432568e+06 -2.3667494006411838e+06 -2.3390230748990038e+06 -2.3104846037483057e+06 -2.2820828077555210e+06 -2.2552317035648949e+06 -2.2319875537623269e+06 -2.2152785022014915e+06 -2.2092919331151620e+06 -2.2200419712777110e+06 -2.2563505718517201e+06 -2.3315820300654531e+06 -2.4669062027553828e+06 -2.6978011458515413e+06 6.2416521335529236e+04 +1.5350555024332562e-02 5.7623836261295946e+04 2.1655573757703742e+05 4.8890714577666251e+05 8.4170980542684952e+05 1.1851610711933549e+06 1.3840388872270517e+06 1.3775047537004920e+06 1.2653540249734265e+06 1.1496826296370167e+06 1.0509571866440054e+06 9.5676767794915277e+05 8.6538532548660086e+05 7.7931247154250508e+05 6.9940531444393413e+05 6.2542524057871453e+05 5.5781421734895674e+05 4.9687151554129377e+05 4.4217673602651572e+05 3.9313096231780451e+05 3.4916763031713205e+05 3.0979140438869403e+05 2.7491468780447991e+05 2.4755708275197417e+05 2.3393357281364212e+05 2.2257335998329212e+05 2.0186492775862615e+05 1.7860969172540889e+05 1.5711669205166545e+05 1.3786740821544931e+05 1.2068852937870358e+05 1.0536917406672168e+05 9.1715022266951317e+04 7.9550326756347597e+04 6.8716205159521938e+04 5.9068779775271825e+04 5.0477425557697017e+04 4.2823170904417006e+04 3.5997219929015380e+04 2.9899593955046257e+04 2.4437858870076489e+04 1.9179806074496744e+04 1.4456525859393023e+04 1.0173375956484970e+04 6.2396373580627724e+03 2.5669659371298203e+03 -9.3227192435125289e+02 -4.3468989006181137e+03 -7.7692386450414560e+03 -1.1298105660256793e+04 -1.5042779422293537e+04 -1.9129300047624518e+04 -2.3706499634909283e+04 -2.8957334719752442e+04 -3.5120180411849513e+04 -4.2509641724130073e+04 -5.1558085560840686e+04 -6.2875853086641437e+04 -7.7349563188183281e+04 -9.6298547002924868e+04 -1.2172009518111212e+05 -1.5665747099477056e+05 -2.0565974617051301e+05 -2.7516789000021812e+05 -3.7338459412682755e+05 -5.0903856526502827e+05 -6.8872075543936098e+05 -9.1338359298210940e+05 -1.1756149615480283e+06 -1.4593436697611583e+06 -1.7428242841812158e+06 -2.0037658080900763e+06 -2.2245351056481437e+06 -2.3955899852032294e+06 -2.5163478639797317e+06 -2.5930832297792942e+06 -2.6361105142791565e+06 -2.6564261346358228e+06 -2.6633939665958071e+06 -2.6635903515129783e+06 -2.6617890771235190e+06 -2.6592435212205360e+06 -2.6563305784674478e+06 -2.6531556037558657e+06 -2.6498401966900602e+06 -2.6463406679625795e+06 -2.6426607989638643e+06 -2.6386525926478771e+06 -2.6343623917100751e+06 -2.6297112314294185e+06 -2.6246373700634865e+06 -2.6190657794441981e+06 -2.6129119503139583e+06 -2.6060789624910993e+06 -2.5984602358881230e+06 -2.5899386547314250e+06 -2.5803836511457986e+06 -2.5696564876461518e+06 -2.5576078370697447e+06 -2.5440837001221422e+06 -2.5289296293209055e+06 -2.5119984123431440e+06 -2.4931972410084638e+06 -2.4723600117747718e+06 -2.4494889079999430e+06 -2.4246368451594575e+06 -2.3979987521276386e+06 -2.3699063417765554e+06 -2.3409910628839377e+06 -2.3122142640363406e+06 -2.2850086305510607e+06 -2.2614575767331650e+06 -2.2445279074160731e+06 -2.2384622948330301e+06 -2.2493542709906334e+06 -2.2861422707381295e+06 -2.3623670438992800e+06 -2.4994779581645955e+06 -2.7334214825281575e+06 6.3185289745470458e+04 +1.5445164151506501e-02 5.7131207037903012e+04 2.1588734016515795e+05 4.8793885445954505e+05 8.4035372550664016e+05 1.1834297319418767e+06 1.3820960092819436e+06 1.3755797162918940e+06 1.2635631770920912e+06 1.1480292838613270e+06 1.0494225290795253e+06 9.5534612971738842e+05 8.6407283842302451e+05 7.7810213548784400e+05 6.9828921978794248e+05 6.2439565698166564e+05 5.5686299928527488e+05 4.9599034970161103e+05 4.4135788561939006e+05 3.9236743547617539e+05 3.4845313510291808e+05 3.0912026919133845e+05 2.7428155764192267e+05 2.4695491888824891e+05 2.3335225506889651e+05 2.2201153634536164e+05 2.0132796691746585e+05 1.7809746326851027e+05 1.5662618635980261e+05 1.3739546940773519e+05 1.2023227106875136e+05 1.0492597898686337e+05 9.1282508349227603e+04 7.9126312755377876e+04 6.8298677529276407e+04 5.8655860601217559e+04 5.0067341117756099e+04 4.2414220284832380e+04 3.5587743223041078e+04 2.9487939363208938e+04 2.4022348120100534e+04 1.8758207916682841e+04 1.4026696999067521e+04 9.7329802160126383e+03 5.7860748900393755e+03 2.0972895218903373e+03 -1.4214582129949047e+03 -4.8595652777296464e+03 -8.3100887571422118e+03 -1.1872783179801447e+04 -1.5658138193093992e+04 -1.9793779945042126e+04 -2.4430607862108605e+04 -2.9754316577994236e+04 -3.6007028331313108e+04 -4.3508448584132442e+04 -5.2698087394060647e+04 -6.4196444508242508e+04 -7.8904916969887869e+04 -9.8164714353683914e+04 -1.2400580926761150e+05 -1.5951992157267564e+05 -2.0932516630538841e+05 -2.7995297986023407e+05 -3.7970819554463599e+05 -5.1740807798394468e+05 -6.9968110948986909e+05 -9.2743159726052789e+05 -1.1931015010295678e+06 -1.4803948894170413e+06 -1.7673098577159829e+06 -2.0313221716887082e+06 -2.2546331206009369e+06 -2.4276263741600402e+06 -2.5497372726373170e+06 -2.6273244841544884e+06 -2.6708243903825809e+06 -2.6913585695877559e+06 -2.6983960226060371e+06 -2.6985865048348717e+06 -2.6967592953695753e+06 -2.6941793922923175e+06 -2.6912278600249779e+06 -2.6880110744092185e+06 -2.6846520845150012e+06 -2.6811065751434206e+06 -2.6773783600776782e+06 -2.6733174962286837e+06 -2.6689709333464480e+06 -2.6642586689401991e+06 -2.6591181502677766e+06 -2.6534733635601234e+06 -2.6472386891823593e+06 -2.6403159339696504e+06 -2.6325971161520942e+06 -2.6239635836107112e+06 -2.6142830522669940e+06 -2.6034149617615631e+06 -2.5912080233283197e+06 -2.5775062146026599e+06 -2.5621530589317163e+06 -2.5449994103111224e+06 -2.5259512398812203e+06 -2.5048402641128586e+06 -2.4816686942041139e+06 -2.4564901406007526e+06 -2.4295020931964447e+06 -2.4010406227544080e+06 -2.3717454734856347e+06 -2.3425906238386994e+06 -2.3150275794430971e+06 -2.2911671271476853e+06 -2.2740150469332067e+06 -2.2678697484227368e+06 -2.2789048162259609e+06 -2.3161761115981927e+06 -2.3934022731655831e+06 -2.5323144512249529e+06 -2.7693313343659593e+06 6.3963508251161249e+04 +1.5540356377267457e-02 5.6633824354809782e+04 2.1521440751977410e+05 4.8696642077374132e+05 8.3899395934188750e+05 1.1816950863918816e+06 1.3801499227709463e+06 1.3736512382502889e+06 1.2617685319842689e+06 1.1463717993208021e+06 1.0478834180260374e+06 9.5391984003415226e+05 8.6275534603490809e+05 7.7688656059377559e+05 6.9716768308004178e+05 6.2336045852275705e+05 5.5590602226392855e+05 4.9510330616349750e+05 4.4053306111439609e+05 3.9159785767913994e+05 3.4773252902723372e+05 3.0844297786568344e+05 2.7364223682198557e+05 2.4634652008461222e+05 2.3276460029114419e+05 2.2144325564257079e+05 2.0078448486013676e+05 1.7757868554767116e+05 1.5612911714463629e+05 1.3691696062968040e+05 1.1976944168162711e+05 1.0447621503372841e+05 9.0843429143094370e+04 7.8695736548763656e+04 6.7874588402602851e+04 5.8236376379065136e+04 4.9650681879810712e+04 4.1998676899260703e+04 3.5171645425217430e+04 2.9069622692728743e+04 2.3600119132462027e+04 1.8329811092042655e+04 1.3589964446172698e+04 9.2855467395393152e+03 5.3253065124160703e+03 1.6201989095196607e+03 -1.9183141912411818e+03 -5.3802125571785928e+03 -8.8592970795369256e+03 -1.2456275169456972e+04 -1.6282862827567260e+04 -2.0468293196084680e+04 -2.5165560304906310e+04 -3.0563133217272891e+04 -3.6906931455635931e+04 -4.4521829804176858e+04 -5.3854578458273187e+04 -6.5535973579632308e+04 -8.0482389339766407e+04 -1.0005720309078987e+05 -1.2632348681306971e+05 -1.6242199725432153e+05 -2.1304063011012535e+05 -2.8480207615557656e+05 -3.8611389064863796e+05 -5.2588191527242830e+05 -7.1077135431182198e+05 -9.4163679281546420e+05 -1.2107722605634134e+06 -1.5016552058871577e+06 -1.7920259301054289e+06 -2.0591263359134700e+06 -2.2849921025830745e+06 -2.4599331301033432e+06 -2.5834032841306911e+06 -2.6618460937066949e+06 -2.7058205883749281e+06 -2.7265741269647833e+06 -2.7336813258120310e+06 -2.7338656880846652e+06 -2.7320122884640791e+06 -2.7293977424142901e+06 -2.7264073022087626e+06 -2.7231483656390491e+06 -2.7197454399943138e+06 -2.7161535781019940e+06 -2.7123766259793802e+06 -2.7082626788392905e+06 -2.7038592983064675e+06 -2.6990854357255958e+06 -2.6938777207987304e+06 -2.6881591461845981e+06 -2.6818429728969336e+06 -2.6748297245081393e+06 -2.6670100061288797e+06 -2.6582636170306639e+06 -2.6484565429835282e+06 -2.6374463860182720e+06 -2.6250798799066232e+06 -2.6111989628500342e+06 -2.5956451126304846e+06 -2.5782672339328271e+06 -2.5589700672495589e+06 -2.5375831315959319e+06 -2.5141086661676038e+06 -2.4886009819921246e+06 -2.4612601506946106e+06 -2.4324266361688417e+06 -2.4027485451274421e+06 -2.3732125880136630e+06 -2.3452892428438133e+06 -2.3211168904669159e+06 -2.3037406010838803e+06 -2.2975149723762223e+06 -2.3086942887787158e+06 -2.3464527873804583e+06 -2.4246884339102944e+06 -2.5654164395472156e+06 -2.8055315298707192e+06 6.4751292671316929e+04 +1.5636135295390916e-02 5.6131628521907973e+04 2.1453688464743880e+05 4.8598976470049541e+05 8.3763044313218864e+05 1.1799570779159667e+06 1.3782005820393418e+06 1.3717192784744536e+06 1.2599700402887708e+06 1.1447101298633558e+06 1.0463398092345591e+06 9.5248876533805288e+05 8.6143280639499519e+05 7.7566570662284561e+05 6.9604066526838392e+05 6.2231960713357409e+05 5.5494324888467381e+05 4.9421034786861559e+05 4.3970222563830425e+05 3.9082219206800347e+05 3.4700577506912424e+05 3.0775949310950312e+05 2.7299668767388910e+05 2.4573184855934326e+05 2.3217057160420992e+05 2.2086848211445811e+05 2.0023444591953166e+05 1.7705332238543624e+05 1.5562544750367064e+05 1.3643184412381204e+05 1.1930000249643643e+05 1.0401984242724377e+05 9.0397743722466621e+04 7.8258555983760365e+04 6.7443894322509688e+04 5.7810282269651550e+04 4.9227401541643594e+04 4.1576492894829775e+04 3.4748877033517099e+04 2.8644592679499539e+04 2.3171118748255307e+04 1.7894560229410145e+04 1.3146270396659733e+04 8.8310150212031258e+03 4.8572686888699582e+03 1.1356271311262915e+03 -2.4229107527755345e+03 -5.9089161603736120e+03 -9.4169443003771012e+03 -1.3048668490975799e+04 -1.6917047475343814e+04 -2.1152942612495692e+04 -2.5911470136612657e+04 -3.1383910289403480e+04 -3.7820030594111595e+04 -4.5549944794734212e+04 -5.5027741286158358e+04 -6.6894652008013698e+04 -8.2082229418110117e+04 -1.0197631105164652e+05 -1.2867348974722615e+05 -1.6536414420723685e+05 -2.1680669223532345e+05 -2.8971586685493076e+05 -3.9260251901526906e+05 -5.3446107098685869e+05 -7.2199261850059405e+05 -9.5600040167674469e+05 -1.2286285012343691e+06 -1.5231258650851240e+06 -1.8169736902893444e+06 -2.0871794100201172e+06 -2.3156130774123305e+06 -2.4925112056363635e+06 -2.6173467950281715e+06 -2.6966489169403366e+06 -2.7410999436519230e+06 -2.7620736295049493e+06 -2.7692506925399383e+06 -2.7694287143513514e+06 -2.7675488680624729e+06 -2.7648993821167024e+06 -2.7618697145350515e+06 -2.7585682859468218e+06 -2.7551210706060193e+06 -2.7514824832567824e+06 -2.7476564019649024e+06 -2.7434889445564174e+06 -2.7390282893576459e+06 -2.7341923331331569e+06 -2.7289168814601940e+06 -2.7231239254251565e+06 -2.7167255976854335e+06 -2.7096211282523493e+06 -2.7016996976419124e+06 -2.6928395442176783e+06 -2.6829049096130235e+06 -2.6717515434637810e+06 -2.6592241861788584e+06 -2.6451627201211629e+06 -2.6294065610487643e+06 -2.6118026486868034e+06 -2.5922544828637214e+06 -2.5705893676245022e+06 -2.5468095703142579e+06 -2.5209701081858906e+06 -2.4932736553610414e+06 -2.4640651041968949e+06 -2.4340009911711570e+06 -2.4040808611554271e+06 -2.3757943170578070e+06 -2.3513075558241545e+06 -2.3337052538379412e+06 -2.3273986488113878e+06 -2.3387233740880387e+06 -2.3769729947379096e+06 -2.4562262460151808e+06 -2.5987846847886578e+06 -2.8420229019786911e+06 6.5548760237648719e+04 +1.5732504521801662e-02 5.5624557948171539e+04 2.1385470406274631e+05 4.8500883554534096e+05 8.3626310910406290e+05 1.1782156512152862e+06 1.3762479209999405e+06 1.3697837788560558e+06 1.2581676518540841e+06 1.1430442242438241e+06 1.0447916564949339e+06 9.5105286089163134e+05 8.6010517690013640e+05 7.7443953236886451e+05 6.9490812624385604e+05 6.2127306365479692e+05 5.5397464065121172e+05 4.9331143668943178e+05 4.3886534125668352e+05 3.9004040071693051e+05 3.4627283514849673e+05 3.0706977656723198e+05 2.7234487148112449e+05 2.4511086548626365e+05 2.3157013107814157e+05 2.2028717893394665e+05 1.9967781336305302e+05 1.7652133654806728e+05 1.5511513948889318e+05 1.3594008109894235e+05 1.1882391377171838e+05 1.0355682037934169e+05 8.9945410166026442e+04 7.7814727924437582e+04 6.7006550859921888e+04 5.7377532472489358e+04 4.8797452849060093e+04 4.1147619474169187e+04 3.4319387607394914e+04 2.8212797124426801e+04 2.2735292874982581e+04 1.7452399022389916e+04 1.2695556106014614e+04 8.3693236053051278e+03 4.3818969191427313e+03 6.4350623440310017e+02 -2.9353198004877536e+03 -6.4457525511051517e+03 -9.9831121922602888e+03 -1.3650051143465418e+04 -1.7560787489665483e+04 -2.1847832292796382e+04 -2.6668451922177919e+04 -3.2216774970021961e+04 -3.8746468247483281e+04 -4.6592954870160866e+04 -5.6217760584060023e+04 -6.8272694019069953e+04 -8.3704689286411551e+04 -1.0392233960512029e+05 -1.3105618426230241e+05 -1.6834681377394655e+05 -2.2062391358553822e+05 -2.9469504733884236e+05 -3.9917492869865376e+05 -5.4314654822673765e+05 -7.3334604018965806e+05 -9.7052365521629632e+05 -1.2466714928717592e+06 -1.5448081208647899e+06 -1.8421543343053292e+06 -2.1154825096059344e+06 -2.3464970766421561e+06 -2.5253615586432922e+06 -2.6515687068602797e+06 -2.7317338171198107e+06 -2.7766632962524965e+06 -2.7978579045301955e+06 -2.8051049436692041e+06 -2.8052764012483656e+06 -2.8033698503395943e+06 -2.8006851264347392e+06 -2.7976159110256094e+06 -2.7942716483433833e+06 -2.7907797883416312e+06 -2.7870941015168009e+06 -2.7832184978147615e+06 -2.7789971019280883e+06 -2.7744787137373481e+06 -2.7695801669813944e+06 -2.7642364365073000e+06 -2.7583685038269507e+06 -2.7518873642078331e+06 -2.7446909437769027e+06 -2.7366669869249673e+06 -2.7276921587932920e+06 -2.7176289428490843e+06 -2.7063312215093412e+06 -2.6936417258645389e+06 -2.6793982659899099e+06 -2.6634381791206985e+06 -2.6456064243136509e+06 -2.6258052507026535e+06 -2.6038597297878149e+06 -2.5797721572309514e+06 -2.5535982621525885e+06 -2.5255433419995559e+06 -2.4959567530355537e+06 -2.4655035289548342e+06 -2.4351961517848489e+06 -2.4065435022673015e+06 -2.3817398161790464e+06 -2.3639096929739215e+06 -2.3575214636535724e+06 -2.3689927614132138e+06 -2.4077374341976936e+06 -2.4880164333657571e+06 -2.6324199528500885e+06 -2.8788062882613414e+06 6.6356029611984472e+04 +1.5829467694710286e-02 5.5112551189721664e+04 2.1316781020004637e+05 4.8402356352636078e+05 8.3489190839202795e+05 1.1764707468886792e+06 1.3742918681711939e+06 1.3678446721351144e+06 1.2563613150935222e+06 1.1413740321866143e+06 1.0432389112326362e+06 9.4961208060672204e+05 8.5877241412753623e+05 7.7320799565162859e+05 6.9377002487762028e+05 6.2022078783821163e+05 5.5300015796434472e+05 4.9240653342854790e+05 4.3802236896560295e+05 3.8925244462538313e+05 3.4553367012150318e+05 3.0637378882433579e+05 2.7168674847479205e+05 2.4448353098861262e+05 2.3096323972199095e+05 2.1969930820069299e+05 1.9911454938642879e+05 1.7598268973873780e+05 1.5459815410000409e+05 1.3544163172379846e+05 1.1834113473770983e+05 1.0308710708615046e+05 8.9486385548916660e+04 7.7364208243134824e+04 6.6562512605471129e+04 5.6938080216470560e+04 4.8360787585825456e+04 4.0712006885251554e+04 3.3883125756990019e+04 2.7774182882588157e+04 2.2292586475012169e+04 1.7003270217303412e+04 1.2237761876655322e+04 7.9004100731312055e+03 3.8991257252986488e+03 1.4376726918574036e+02 -3.4556142616668271e+03 -6.9907992516189870e+03 -1.0557883629227055e+04 -1.4260512281364101e+04 -1.8214179446532027e+04 -2.2553067642859205e+04 -2.7436621640112186e+04 -3.3061855982542707e+04 -3.9686388633654991e+04 -4.7651023277019900e+04 -5.7424823263923216e+04 -6.9670316393123547e+04 -8.5350024029115302e+04 -1.0589559370024965e+05 -1.3347194087027412e+05 -1.7137046254031622e+05 -2.2449286139997951e+05 -2.9974032048932853e+05 -4.0583197632780747e+05 -5.5193935943225177e+05 -7.4483276716140960e+05 -9.8520779425746691e+05 -1.2649025141744812e+06 -1.5667032351517694e+06 -1.8675690654330235e+06 -2.1440367567687845e+06 -2.3776451377255996e+06 -2.5584851524599325e+06 -2.6860699263098319e+06 -2.7671016624651831e+06 -2.8125114910556944e+06 -2.8339277841371391e+06 -2.8412449048132948e+06 -2.8414095711194333e+06 -2.8394760561893103e+06 -2.8367557951286761e+06 -2.8336467104099444e+06 -2.8302592705451674e+06 -2.8267224098777743e+06 -2.8229892484799754e+06 -2.8190637279910035e+06 -2.8147879641833827e+06 -2.8102113833492873e+06 -2.8052497477343082e+06 -2.7998371948504266e+06 -2.7938936885837717e+06 -2.7873290777677721e+06 -2.7800399742681189e+06 -2.7719126748219319e+06 -2.7628222589747240e+06 -2.7526294379631700e+06 -2.7411862121157693e+06 -2.7283332872097362e+06 -2.7139063845365727e+06 -2.6977407462526802e+06 -2.6796793350046999e+06 -2.6596231391609423e+06 -2.6373949800612372e+06 -2.6129971818417977e+06 -2.5864861911551086e+06 -2.5580699496696652e+06 -2.5281023130821511e+06 -2.4972568799660602e+06 -2.4665591725223805e+06 -2.4375375027032588e+06 -2.4124143685106412e+06 -2.3943546102463864e+06 -2.3878841067855838e+06 -2.3995031439977121e+06 -2.4387468103417777e+06 -2.5200597240347438e+06 -2.6663230140590882e+06 -2.9158825311332201e+06 6.7173220903584661e+04 +1.5927028474750530e-02 5.4595546216593575e+04 2.1247613612333650e+05 4.8303389408735948e+05 8.3351677505824564e+05 1.1747222924201621e+06 1.3723323894448648e+06 1.3659019154808617e+06 1.2545509772754067e+06 1.1396995029791801e+06 1.0416815255386267e+06 9.4816637770575669e+05 8.5743447336250066e+05 7.7197105323728023e+05 6.9262631908017932e+05 6.1916273836164863e+05 5.5201976012349653e+05 4.9149559781750548e+05 4.3717326868347818e+05 3.8845828371252748e+05 3.4478823977578670e+05 3.0567148940250330e+05 2.7102227782857540e+05 2.4384980413341767e+05 2.3034985747808864e+05 2.1910483093538880e+05 1.9854461510729537e+05 1.7543734259123358e+05 1.5407445127792237e+05 1.3493645511917569e+05 1.1785162358873073e+05 1.0261065972014566e+05 8.9020625934336640e+04 7.6906951811631603e+04 6.6111733159711541e+04 5.6491877750304768e+04 4.7917356564037516e+04 4.0269604411151726e+04 3.3440039132531798e+04 2.7328695851829696e+04 2.1842943554050940e+04 1.6547115601155248e+04 1.1772827045348702e+04 7.4242110298217603e+03 3.4088886379070950e+03 -3.6365972704243222e+02 -3.9838681032628497e+03 -7.5441348587042830e+03 -1.1141342603834513e+04 -1.4880142232574099e+04 -1.8877321164095345e+04 -2.3268755396592227e+04 -2.8216096704841857e+04 -3.3919283622185387e+04 -4.0639937714285945e+04 -4.8724315223224286e+04 -5.8649118475776821e+04 -7.1087738502082269e+04 -8.7018491775895614e+04 -1.0789638191632828e+05 -1.3592113446148182e+05 -1.7443555240497214e+05 -2.2841410933094457e+05 -3.0485239678104589e+05 -4.1257452720660024e+05 -5.6084052649331850e+05 -7.5645395694891363e+05 -1.0000540691851832e+06 -1.2833228528180742e+06 -1.5888124780606057e+06 -1.8932190943276435e+06 -2.1728432802585135e+06 -2.4090583041879651e+06 -2.5918829560661297e+06 -2.7208513654035949e+06 -2.8027533263482493e+06 -2.8486453779742098e+06 -2.8702841053995606e+06 -2.8776714065386611e+06 -2.8778290512340730e+06 -2.8758683114251033e+06 -2.8731122128631645e+06 -2.8699629363270407e+06 -2.8665319751636828e+06 -2.8629497567896089e+06 -2.8591687446394772e+06 -2.8551929118407387e+06 -2.8508623494241457e+06 -2.8462271149710347e+06 -2.8412018907292145e+06 -2.8357199702469036e+06 -2.8297002917278311e+06 -2.8230515484783193e+06 -2.8156690277287578e+06 -2.8074375669703791e+06 -2.7982306477602241e+06 -2.7879071949895523e+06 -2.7763173119933875e+06 -2.7632996631907946e+06 -2.7486878645408172e+06 -2.7323150465298286e+06 -2.7140221595938676e+06 -2.6937089212405053e+06 -2.6711958849869180e+06 -2.6464854035969521e+06 -2.6196346469464451e+06 -2.5908542218533899e+06 -2.5605025191167300e+06 -2.5292617700180379e+06 -2.4981706402559192e+06 -2.4687770268182568e+06 -2.4433319139663810e+06 -2.4250407015576614e+06 -2.4184872722350652e+06 -2.4302552192396303e+06 -2.4700018319755588e+06 -2.5523568504612511e+06 -2.7004946433707057e+06 -2.9532524780680668e+06 6.8000455686683548e+04 +1.6025190545117501e-02 5.4073479406072634e+04 2.1177961997082306e+05 4.8203975860515685e+05 8.3213764307968260e+05 1.1729702290020157e+06 1.3703694138093635e+06 1.3639554513632916e+06 1.2527365844997952e+06 1.1380205844486235e+06 1.0401194504806806e+06 9.4671570481231739e+05 8.5609130850989604e+05 7.7072866078483441e+05 6.9147696582472348e+05 6.1809887287168775e+05 5.5103340534075943e+05 4.9057858851019223e+05 4.3631799924293492e+05 3.8765787681269785e+05 3.4403650282243663e+05 3.0496283675318595e+05 2.7035141765174386e+05 2.4320964292502974e+05 2.2972994321616110e+05 2.1850370707381659e+05 1.9796797055917798e+05 1.7488525466265343e+05 1.5354398989701219e+05 1.3442450935094373e+05 1.1735533747581751e+05 1.0212743442169389e+05 8.8548086365070107e+04 7.6442912492490941e+04 6.5654165124260588e+04 5.6038876333022417e+04 4.7467109614049208e+04 3.9820360359581216e+04 3.2990074413480615e+04 2.6876280961788463e+04 2.1386307149472632e+04 1.6083875989474438e+04 1.1300689970528449e+04 6.9406620911080263e+03 2.9111181821867913e+03 -8.7884574371578935e+02 -4.5201563472224170e+03 -8.1058390599022850e+03 -1.1733574244276208e+04 -1.5509032516752048e+04 -1.9550311722106777e+04 -2.3995003636754009e+04 -2.9006995989140891e+04 -3.4789189780037203e+04 -4.1607263220921232e+04 -4.9812997907014324e+04 -5.9890837640364756e+04 -7.2525182346267160e+04 -8.8710353744677530e+04 -1.0992501651262818e+05 -1.3840414436414477e+05 -1.7754255064833208e+05 -2.3238823752641649e+05 -3.1003199437240796e+05 -4.1940345541149675e+05 -5.6985108084974310e+05 -7.6821077694550203e+05 -1.0150637400519667e+06 -1.3019338055744788e+06 -1.6111371280268952e+06 -1.9191056391583623e+06 -2.2019032156272870e+06 -2.4407376257863482e+06 -2.6255559442528235e+06 -2.7559139416863229e+06 -2.8386896874818327e+06 -2.8850658121638419e+06 -2.9069277105643880e+06 -2.9143852845525616e+06 -2.9145356739942264e+06 -2.9125474469855973e+06 -2.9097552094182107e+06 -2.9065654175185142e+06 -2.9030905899147508e+06 -2.8994626557473144e+06 -2.8956334155658167e+06 -2.8916068737880774e+06 -2.8872210808291305e+06 -2.8825267304340941e+06 -2.8774374163499386e+06 -2.8718855814970243e+06 -2.8657891303223041e+06 -2.8590555914895902e+06 -2.8515789171771472e+06 -2.8432424740044535e+06 -2.8339181331242360e+06 -2.8234630189230181e+06 -2.8117253227906981e+06 -2.7985416516953749e+06 -2.7837434996738113e+06 -2.7671618688916848e+06 -2.7486356817408870e+06 -2.7280633747351384e+06 -2.7052632158600315e+06 -2.6802375866566929e+06 -2.6530443859254569e+06 -2.6238969066512450e+06 -2.5931581104645538e+06 -2.5615189294169554e+06 -2.5300312763166348e+06 -2.5002627874603923e+06 -2.4744931580436998e+06 -2.4559686671263347e+06 -2.4493316583217615e+06 -2.4612496888652020e+06 -2.5015032122980566e+06 -2.5849085496198758e+06 -2.7349356205292535e+06 -2.9909169817812252e+06 6.8837857018220850e+04 +1.6123957611706714e-02 5.3546287173636709e+04 2.1107820070586150e+05 4.8104109416426241e+05 8.3075444683161809e+05 1.1712145078657856e+06 1.3684028929055866e+06 1.3620052129696775e+06 1.2509180795869806e+06 1.1363372226374408e+06 1.0385526349658231e+06 9.4526001324922708e+05 8.5474287252701679e+05 7.6948077280110179e+05 6.9032192105834966e+05 6.1702914800555387e+05 5.5004105075936194e+05 4.8965546307362814e+05 4.3545651838436810e+05 3.8685118166998710e+05 3.4327841689132829e+05 3.0424778825013316e+05 2.6967412498254306e+05 2.4256300429916306e+05 2.2910345472586725e+05 2.1789589546030952e+05 1.9738457468475983e+05 1.7432638442720368e+05 1.5300672775886513e+05 1.3390575142246380e+05 1.1685223249866466e+05 1.0163738629158205e+05 8.8068720855234176e+04 7.5972043130115548e+04 6.5189760092577410e+04 5.5579026224258421e+04 4.7009995574483633e+04 3.9364222052581572e+04 3.2533177297734041e+04 2.6416882162502014e+04 2.0922619318655106e+04 1.5613491214151047e+04 1.0821288019620981e+04 6.4496978699913798e+03 2.4057458640506566e+03 -1.4018628118211973e+03 -5.0645550858929473e+03 -8.6759926497752222e+03 -1.2334664831692027e+04 -1.6147275863633446e+04 -2.0233251481539701e+04 -2.4731921815959733e+04 -2.9809439846559366e+04 -3.5671707967798480e+04 -4.2588514681840352e+04 -5.0917240546710687e+04 -6.1150174482022529e+04 -7.3982872592106927e+04 -9.0425874284682999e+04 -1.1198181347898814e+05 -1.4092135440342315e+05 -1.8069193000341093e+05 -2.3641583271074863e+05 -3.1527983919724345e+05 -4.2631964389147237e+05 -5.7897206359666970e+05 -7.8010440450786601e+05 -1.0302380766920503e+06 -1.3207366784240438e+06 -1.6336784719269553e+06 -1.9452299257488598e+06 -2.2312177053809273e+06 -2.4726841586766229e+06 -2.6595050978090125e+06 -2.7912585784221627e+06 -2.8749116301134578e+06 -2.9217736541983434e+06 -2.9438594472502172e+06 -2.9513873799002604e+06 -2.9515302771127084e+06 -2.9495142991107642e+06 -2.9466856198805156e+06 -2.9434549880296877e+06 -2.9399359478016743e+06 -2.9362619387046103e+06 -2.9323840921137878e+06 -2.9283064435281688e+06 -2.9238649868315607e+06 -2.9191110568302590e+06 -2.9139571502259439e+06 -2.9083348526398991e+06 -2.9021610266550723e+06 -2.8953420271577328e+06 -2.8877704608217124e+06 -2.8793282117432714e+06 -2.8698855282080243e+06 -2.8592977199083436e+06 -2.8474110512810107e+06 -2.8340600557183763e+06 -2.8190740886808718e+06 -2.8022820073294523e+06 -2.7835206901219967e+06 -2.7626872824141025e+06 -2.7395977489037989e+06 -2.7142545000652145e+06 -2.6867161693349262e+06 -2.6571987569355667e+06 -2.6260698311882834e+06 -2.5940290931435488e+06 -2.5621418066535452e+06 -2.5319955020305924e+06 -2.5058988107546014e+06 -2.4871392116436921e+06 -2.4804179678362189e+06 -2.4924872590806838e+06 -2.5332516690681996e+06 -2.6177155632049884e+06 -2.7696467302756472e+06 -3.0288769004438347e+06 6.9685549455800327e+04 +1.6223333403253996e-02 5.3013904540827338e+04 2.1037180993472793e+05 4.8003784167604242e+05 8.2936712289517524e+05 1.1694550596760856e+06 1.3664327467746239e+06 1.3600511472755172e+06 1.2490954076832519e+06 1.1346493641176769e+06 1.0369810258615734e+06 9.4379925363562035e+05 8.5338911770243384e+05 7.6822734260785347e+05 6.8916113954546989e+05 6.1595351936944725e+05 5.4904265246595105e+05 4.8872617797657882e+05 4.3458878274910484e+05 3.8603815493581485e+05 3.4251393852332799e+05 3.0352630018325424e+05 2.6899035578161001e+05 2.4190984411603550e+05 2.2847034871174479e+05 2.1728135384103813e+05 1.9679438532912784e+05 1.7376068926896949e+05 1.5246262158416875e+05 1.3338013726736925e+05 1.1634226369766168e+05 1.0114046938189869e+05 8.7582482381289854e+04 7.5494295541633430e+04 6.4718468640410276e+04 5.5112276674642839e+04 4.6545962282043503e+04 3.8901135815931339e+04 3.2069292490780728e+04 2.5950442413178083e+04 2.0451821127206869e+04 1.5135900111128001e+04 1.0334557556168022e+04 5.9512519633969796e+03 1.8927021561126644e+03 -1.9327840186038247e+03 -5.6171414975395928e+03 -9.2546775462894020e+03 -1.2944701817479712e+04 -1.6794966231480033e+04 -2.0926242104189219e+04 -2.5479620777861677e+04 -3.0623550134406287e+04 -3.6566973342273261e+04 -4.3583843449040287e+04 -5.2037214410298096e+04 -6.2427325062113872e+04 -7.5461036610004565e+04 -9.2165320920306389e+04 -1.1406709258710600e+05 -1.4347315296231402e+05 -1.8388416872675167e+05 -2.4049748826741613e+05 -3.2059666505820752e+05 -4.3332398456897051e+05 -5.8820452558788483e+05 -7.9213602706684940e+05 -1.0455783588246625e+06 -1.3397327866709237e+06 -1.6564378052016199e+06 -1.9715931877141371e+06 -2.2607878991384120e+06 -2.5048989655825244e+06 -2.6937314036810221e+06 -2.8268862047700742e+06 -2.9114200442114235e+06 -2.9587697702751672e+06 -2.9810801686318521e+06 -2.9886785391577408e+06 -2.9888137038260042e+06 -2.9867697095534205e+06 -2.9839042848297623e+06 -2.9806324873948391e+06 -2.9770688873163220e+06 -2.9733484430923578e+06 -2.9694216106083691e+06 -2.9652924562199325e+06 -2.9607949013274349e+06 -2.9559809266956076e+06 -2.9507619234224241e+06 -2.9450686131422077e+06 -2.9388168084263261e+06 -2.9319116812380115e+06 -2.9242444822622277e+06 -2.9156956013762429e+06 -2.9061336515114876e+06 -2.8954121134187630e+06 -2.8833753095537014e+06 -2.8698556835343209e+06 -2.8546804355669431e+06 -2.8376762610573489e+06 -2.8186779785973299e+06 -2.7975814321988751e+06 -2.7742002654538075e+06 -2.7485369179302840e+06 -2.7206507634291165e+06 -2.6907605305473544e+06 -2.6592384302439690e+06 -2.6267930010207887e+06 -2.5945029619909828e+06 -2.5639758926549479e+06 -2.5375495867820662e+06 -2.5185530444450811e+06 -2.5117469081965513e+06 -2.5239686407477534e+06 -2.5652479247712349e+06 -2.6507786377884503e+06 -2.8046287625214010e+06 -3.0671330978859523e+06 7.0543659075857911e+04 +1.6323321671476265e-02 5.2476266249177039e+04 2.0966038334019977e+05 4.7902992864894826e+05 8.2797562006803439e+05 1.1676918140329744e+06 1.3644589184457851e+06 1.3580932054648481e+06 1.2472685152283891e+06 1.1329569543838403e+06 1.0354045692233276e+06 9.4233337614322652e+05 8.5202999542506924e+05 7.6696832244260493e+05 6.8799457477279636e+05 6.1487194146962790e+05 5.4803816548434645e+05 4.8779068858060322e+05 4.3371474787441583e+05 3.8521875216348394e+05 3.4174302316221321e+05 3.0279832775131491e+05 2.6830006492487260e+05 2.4125011715291883e+05 2.2783058078522148e+05 2.1666003885782580e+05 1.9619735923321205e+05 1.7318812547483575e+05 1.5191162700618105e+05 1.3284762174126453e+05 1.1582538504602558e+05 1.0063663668853765e+05 8.7089322873810990e+04 7.5009620508112755e+04 6.4240240316540192e+04 5.4638575915886096e+04 4.6074956561463063e+04 3.8431046968674804e+04 3.1598363694622407e+04 2.5476903670732110e+04 1.9973852637134230e+04 1.4651040508086211e+04 9.8404339270340006e+03 5.4452569387145322e+03 1.3719164836002858e+03 -2.4716835223562671e+03 -6.1779938618654078e+03 -9.8419768072535207e+03 -1.3563773840764554e+04 -1.7452198825706815e+04 -2.1629386572640557e+04 -2.6238212778355795e+04 -3.1449450236523178e+04 -3.7475122730323434e+04 -4.4593402725451248e+04 -5.3173092845478255e+04 -6.3722487812598854e+04 -7.6959904512223555e+04 -9.3928964394954222e+04 -1.1618117744218960e+05 -1.4605993304199690e+05 -1.8711975067026392e+05 -2.4463380432186718e+05 -3.2598321371966257e+05 -4.4041737844063487e+05 -5.9754952754318633e+05 -8.0430684223101463e+05 -1.0610858761681681e+06 -1.3589234550578457e+06 -1.6794164319863885e+06 -1.9981966665829236e+06 -2.2906149537618216e+06 -2.5373831159555912e+06 -2.7282358551645321e+06 -2.8627977559659234e+06 -2.9482158256501574e+06 -2.9960550323977293e+06 -3.0185907336403634e+06 -3.0262596146198721e+06 -3.0263868030683529e+06 -3.0243145257650758e+06 -3.0214120505455928e+06 -3.0180987608271651e+06 -3.0144902526222267e+06 -3.0107230120125185e+06 -3.0067468130339584e+06 -3.0025657526771757e+06 -2.9980116638488928e+06 -2.9931371782043362e+06 -2.9878525726338685e+06 -2.9820876980765383e+06 -2.9757573089422733e+06 -2.9687653850806239e+06 -2.9610018106733630e+06 -2.9523454696523063e+06 -2.9426633270690218e+06 -2.9318070204538647e+06 -2.9196189151875135e+06 -2.9059293488959782e+06 -2.8905633497769344e+06 -2.8733454346966818e+06 -2.8541083464089576e+06 -2.8327466173439804e+06 -2.8090715521372170e+06 -2.7830856195984995e+06 -2.7548489396507302e+06 -2.7245829904505033e+06 -2.6926646616601781e+06 -2.6598113978742640e+06 -2.6271154780009254e+06 -2.5962046863496336e+06 -2.5694462056480478e+06 -2.5502108796654725e+06 -2.5433191916104713e+06 -2.5556945495356517e+06 -2.5974927067819727e+06 -2.6840985249980302e+06 -2.8398825125069069e+06 -3.1056864437750257e+06 7.1412313492044515e+04 +1.6423926191213162e-02 5.1933305003931317e+04 2.0894385468100494e+05 4.7801729121508234e+05 8.2657985375903174e+05 1.1659247040204171e+06 1.3624813437695489e+06 1.3561313082433695e+06 1.2454373370505504e+06 1.1312599375508511e+06 1.0338232128102598e+06 9.4086232929231867e+05 8.5066545571456081e+05 7.6570366361645097e+05 6.8682217900281725e+05 6.1378436765213334e+05 5.4702754375560815e+05 4.8684894913643878e+05 4.3283436818910338e+05 3.8439292780609225e+05 3.4096562514861219e+05 3.0206382505440648e+05 2.6760320619620575e+05 2.4058377709881039e+05 2.2718410545817207e+05 2.1603190604142772e+05 1.9559345202689440e+05 1.7260864822738056e+05 1.5135369856225525e+05 1.3230815861424123e+05 1.1530154944165025e+05 1.0012584014217158e+05 8.6589193208110752e+04 7.4517967765098147e+04 6.3755023633208235e+04 5.4157871150928790e+04 4.5596924215164734e+04 3.7953899812297641e+04 3.1120333596796150e+04 2.4996206878392524e+04 1.9488652894941231e+04 1.4158849212117793e+04 9.3388514494210249e+03 4.9316443202887158e+03 8.4331721020207954e+02 -3.0186365672814563e+03 -6.7471915757167471e+03 -1.0437974646873981e+04 -1.4191970745963630e+04 -1.8119070117494444e+04 -2.2342789210209925e+04 -2.7007811507069298e+04 -3.2287265086526291e+04 -3.8396294653944977e+04 -4.5617347592229671e+04 -5.4325051310091949e+04 -6.5035863570133777e+04 -7.8479709192167516e+04 -9.5717078716035117e+04 -1.1832439553491869e+05 -1.4868209232396196e+05 -1.9039916535307857e+05 -2.4882538782545901e+05 -3.3144023500157270e+05 -4.4760073567820614e+05 -6.0700814015115832e+05 -8.1661805789551639e+05 -1.0767619285488978e+06 -1.3783100178799902e+06 -1.7026156652231298e+06 -2.0250416119583410e+06 -2.3207000335239009e+06 -2.5701376861257381e+06 -2.7630194520592289e+06 -2.8989941734924894e+06 -2.9852998763983981e+06 -3.0336303185631866e+06 -3.0563920071441196e+06 -3.0641314645004375e+06 -3.0642504296723455e+06 -3.0621496010761713e+06 -3.0592097691746810e+06 -3.0558546594170127e+06 -3.0522008937542671e+06 -3.0483864944206583e+06 -3.0443605472240150e+06 -3.0401271795543577e+06 -3.0355161197689874e+06 -3.0305806553532346e+06 -3.0252299403626989e+06 -3.0193929483234552e+06 -3.0129833673040280e+06 -3.0059039758043489e+06 -2.9980432809842415e+06 -2.9892786490603560e+06 -2.9794753846420804e+06 -2.9684832677109032e+06 -2.9561426914523467e+06 -2.9422818712052442e+06 -2.9267236463859780e+06 -2.9092903384680450e+06 -2.8898125983437481e+06 -2.8681836366129238e+06 -2.8442124010436744e+06 -2.8179013898337553e+06 -2.7893114747988572e+06 -2.7586669049075539e+06 -2.7263492847005394e+06 -2.6930850337045463e+06 -2.6599800954665658e+06 -2.6286826151761846e+06 -2.6015893918669797e+06 -2.5821134364000065e+06 -2.5751355352267269e+06 -2.5876657060891329e+06 -2.6299867475315100e+06 -2.7176759816829585e+06 -2.8754087810132238e+06 -3.1445378138252986e+06 7.2291641873832559e+04 +1.6525150760569568e-02 5.1384955086308575e+04 2.0822215674414308e+05 4.7699986048954807e+05 8.2517975748266326e+05 1.1641536590547753e+06 1.3604999599165516e+06 1.3541654024749328e+06 1.2436018109432675e+06 1.1295582581341492e+06 1.0322369037336359e+06 9.3938605980070331e+05 8.4929544712490530e+05 7.6443331648806634e+05 6.8564390341904375e+05 6.1269075009809120e+05 5.4601074010256166e+05 4.8590091278075980e+05 4.3194759700723580e+05 3.8356063520949264e+05 3.4018169771269331e+05 3.0132274508714315e+05 2.6689973228152038e+05 2.3991077654535981e+05 2.2653087613625563e+05 2.1539690980444336e+05 1.9498261822169548e+05 1.7202221159736448e+05 1.5078878968735127e+05 1.3176170056312578e+05 1.1477070869887160e+05 9.9608030599892925e+04 8.6082043195745486e+04 7.4019285993660320e+04 6.3262766056506487e+04 5.3670108544034396e+04 4.5111810012850110e+04 3.7469637620227659e+04 3.0635143859227530e+04 2.4508291954068329e+04 1.8996159919610673e+04 1.3659261997106229e+04 8.8297433978873323e+03 4.4103445758117959e+03 3.0683162383069009e+02 -3.5737194984317325e+03 -7.3248151688117487e+03 -1.1042756452395441e+04 -1.4829383600426670e+04 -1.8795677862693992e+04 -2.3066555701078752e+04 -2.7788532109005468e+04 -3.3137121191044171e+04 -3.9330629355598707e+04 -4.6655835036744153e+04 -5.5493267402851161e+04 -6.6367655610274523e+04 -8.0020686362950539e+04 -9.7529941199840818e+04 -1.2049707829426177e+05 -1.5134003323183619e+05 -1.9372290803550414e+05 -2.5307285264026048e+05 -3.3696848687472602e+05 -4.5487497573145741e+05 -6.1658144417928695e+05 -8.2907089234937215e+05 -1.0926078260058644e+06 -1.3978938190980619e+06 -1.7260368267864829e+06 -2.0521292816193909e+06 -2.3510443102427856e+06 -2.6031637594715254e+06 -2.7980832008445947e+06 -2.9354764052700829e+06 -3.0226731046941923e+06 -3.0714965129447109e+06 -3.0944848601402254e+06 -3.1022949531009751e+06 -3.1024054445508076e+06 -3.1002757948922431e+06 -3.0972982989298026e+06 -3.0939010403098701e+06 -3.0902016667890288e+06 -3.0863397453179825e+06 -3.0822636670492329e+06 -3.0779775895262356e+06 -3.0733091204718044e+06 -3.0683122081351485e+06 -3.0628948751153443e+06 -3.0569852107470999e+06 -3.0504958285672721e+06 -3.0433282964953450e+06 -3.0353697340752087e+06 -3.0264959780166741e+06 -3.0165706598948790e+06 -3.0054416877763434e+06 -2.9929474674628587e+06 -2.9789140756959994e+06 -2.9631621462579090e+06 -2.9455117883498357e+06 -2.9257915449248701e+06 -2.9038932944569257e+06 -2.8796236098976703e+06 -2.8529850189837883e+06 -2.8240391511990759e+06 -2.7930130476547903e+06 -2.7602930640356415e+06 -2.7266146638517613e+06 -2.6930975604426325e+06 -2.6614104164128820e+06 -2.6339798751206668e+06 -2.6142614388607019e+06 -2.6071966613050080e+06 -2.6198828361776653e+06 -2.6627307846591845e+06 -2.7515117700782907e+06 -2.9112083745169761e+06 -3.1836880899802325e+06 7.3181774965349206e+04 +1.6626999201058982e-02 5.0831148187117964e+04 2.0749521963384908e+05 4.7597756983081409e+05 8.2377527247692680e+05 1.1623786341310362e+06 1.3585147236366605e+06 1.3521954296378249e+06 1.2417618846405961e+06 1.1278518585902322e+06 1.0306455860780173e+06 9.3790451328124502e+05 8.4791991711452673e+05 7.6315723031579703e+05 6.8445969821025804e+05 6.1159103986660636e+05 5.4498770620717399e+05 4.8494653153438668e+05 4.3105438652704365e+05 3.8272182660546585e+05 3.3939119296792883e+05 3.0057503973164095e+05 2.6618959475985344e+05 2.3923106698122629e+05 2.2587084511176113e+05 2.1475500343454161e+05 1.9436481120384531e+05 1.7142876853652907e+05 1.5021685270517180e+05 1.3120819916296203e+05 1.1423281354000172e+05 9.9083157836302256e+04 8.5567821575419192e+04 7.3513522810764509e+04 6.2763413996614123e+04 5.3175233210555096e+04 4.4619557681189966e+04 3.6978202626770930e+04 3.0142735106962340e+04 2.4013097778738240e+04 1.8496310690589322e+04 1.3152213591283087e+04 8.3130419912285979e+03 3.8812871026602434e+03 -2.3761407769574737e+02 -4.1370097767621974e+03 -7.9109463195706585e+03 -1.1656408800857515e+04 -1.5476104712188528e+04 -1.9482121120693311e+04 -2.3800793110533119e+04 -2.8580491206282561e+04 -3.3999146653333060e+04 -4.0278268823722239e+04 -4.7709023980258404e+04 -5.6677920894089359e+04 -6.7718069682405825e+04 -8.1583074596987572e+04 -9.9367832517125207e+04 -1.2269956114117095e+05 -1.5403416299385196e+05 -1.9709147979215885e+05 -2.5737681962391926e+05 -3.4256873555673083e+05 -4.6224102743122919e+05 -6.2627053057465516e+05 -8.4166657438309165e+05 -1.1086248889066009e+06 -1.4176762124529704e+06 -1.7496812476103811e+06 -2.0794609416771431e+06 -2.3816489634285094e+06 -2.6364624265762009e+06 -2.8334281148546562e+06 -2.9722454058260513e+06 -3.0603364252302833e+06 -3.1096545060825143e+06 -3.1328701699329293e+06 -3.1407509510117723e+06 -3.1408527148798103e+06 -3.1386939728764961e+06 -3.1356785042820848e+06 -3.1322387668895014e+06 -3.1284934340416291e+06 -3.1245836259289333e+06 -3.1204570325914007e+06 -3.1161178414797788e+06 -3.1113915235419548e+06 -3.1063326927436381e+06 -3.1008482315616328e+06 -3.0948653383761840e+06 -3.0882955439549759e+06 -3.0810391963647963e+06 -3.0729820169448499e+06 -3.0639983010426159e+06 -3.0539499945826810e+06 -3.0426831192912911e+06 -3.0300340783817773e+06 -3.0158267936109519e+06 -2.9998796762451320e+06 -2.9820106062641898e+06 -2.9620460025688871e+06 -2.9398764011844802e+06 -2.9153059822346470e+06 -2.8883373031486305e+06 -2.8590327568784528e+06 -2.8276221980583086e+06 -2.7944967698992374e+06 -2.7604010491524469e+06 -2.7264686244129986e+06 -2.6943888327017040e+06 -2.6666183903977745e+06 -2.6466556165390876e+06 -2.6395032973622517e+06 -2.6523466708581611e+06 -2.6957255611774339e+06 -2.7856066579697956e+06 -2.9472821053617708e+06 -3.2231381606062734e+06 7.4082845104422377e+04 +1.6729475357747808e-02 5.0271814405358564e+04 2.0676298087956008e+05 4.7495035286686406e+05 8.2236632935256278e+05 1.1605995424229214e+06 1.3565255382876550e+06 1.3502213200688807e+06 1.2399174980988849e+06 1.1261406782302656e+06 1.0290492019460441e+06 9.3641763450694655e+05 8.4653881234930607e+05 7.6187535323752591e+05 6.8326951255247893e+05 6.1048518692716176e+05 5.4395839259903028e+05 4.8398575630404707e+05 4.3015468782592146e+05 3.8187645310407050e+05 3.3859406190392846e+05 2.9982065975186724e+05 2.6547274409743870e+05 2.3854459878357308e+05 2.2520396355584866e+05 2.1410613908706309e+05 1.9373998322668285e+05 1.7082827086998810e+05 1.4963783882121256e+05 1.3064760487935221e+05 1.1368781358700582e+05 9.8551170535174024e+04 8.5046476003705262e+04 7.3000624760067250e+04 6.2256912798041310e+04 5.2673189206904171e+04 4.4120109893171473e+04 3.6479536016322141e+04 2.9643046916902771e+04 2.3510562184787061e+04 1.7989041135657331e+04 1.2637637664534952e+04 7.7886783793296145e+03 3.3444002141280762e+03 -7.9009480106005049e+02 -4.7085859942329225e+03 -8.5056678710541255e+03 -1.2279019475920521e+04 -1.6132227647910679e+04 -2.0178500273486923e+04 -2.4545609905340047e+04 -2.9383806920058134e+04 -3.4873471196859551e+04 -4.1239356818574699e+04 -4.8777075306373503e+04 -5.7879193757218854e+04 -6.9087314044546147e+04 -8.3167115365754231e+04 -1.0123103673922035e+05 -1.2493218354173722e+05 -1.5676489370731820e+05 -2.0050538758663469e+05 -2.6173791671604887e+05 -3.4824175560769544e+05 -4.6969982909235416e+05 -6.3607650057666888e+05 -8.5440634339725669e+05 -1.1248144480502524e+06 -1.4376585615745920e+06 -1.7735502677993036e+06 -2.1070378666964713e+06 -2.4125151804285832e+06 -2.6700347853748570e+06 -2.8690552144250274e+06 -3.0093021364675136e+06 -3.0982907593331574e+06 -3.1481051950572859e+06 -3.1715488203217769e+06 -3.1795003352859565e+06 -3.1795931142868381e+06 -3.1774050071293274e+06 -3.1743512561207963e+06 -3.1708687089692964e+06 -3.1670770642364467e+06 -3.1631190038817534e+06 -3.1589415103360103e+06 -3.1545488006941448e+06 -3.1497641929404810e+06 -3.1446429717416074e+06 -3.1390908707435387e+06 -3.1330341905864654e+06 -3.1263833710198724e+06 -3.1190375309526101e+06 -3.1108809828892685e+06 -3.1017864689423689e+06 -3.0916142367142355e+06 -3.0802084071437428e+06 -3.0674033655806407e+06 -3.0530208623780841e+06 -3.0368770693441145e+06 -3.0187876202454362e+06 -2.9985767937687379e+06 -2.9761337731302432e+06 -2.9512603275663326e+06 -2.9239590443506385e+06 -2.8942930857234974e+06 -2.8624951412827913e+06 -2.8289611782612833e+06 -2.7944449561090083e+06 -2.7600940444581104e+06 -2.7276186122091147e+06 -2.6995056781523833e+06 -2.6792967043439886e+06 -2.6720561763237105e+06 -2.6850579466266865e+06 -2.7289718256238061e+06 -2.8199614188516168e+06 -2.9836307919426886e+06 -3.2628889206816312e+06 7.4994986241868493e+04 +1.6832583099400507e-02 4.9706885014020219e+04 2.0602536278802078e+05 4.7391813349308888e+05 8.2095285927608039e+05 1.1588163199617960e+06 1.3545323390814413e+06 1.3482430075025372e+06 1.2380685893798205e+06 1.1244246580848612e+06 1.0274476932939219e+06 9.3492536759665515e+05 8.4515207862105488e+05 7.6058763236670021e+05 6.8207329453792947e+05 6.0937314015220059e+05 5.4292274866125640e+05 4.8301853687135316e+05 4.2924845085454173e+05 3.8102446468603599e+05 3.3779025438118540e+05 2.9905955478603224e+05 2.6474912963996979e+05 2.3785132121164948e+05 2.2453018151182338e+05 2.1345026777772995e+05 1.9310808540325271e+05 1.7022066928776071e+05 1.4905169811425987e+05 1.3007986705990971e+05 1.1313565735268638e+05 9.8012016280102587e+04 8.4517953046170558e+04 7.2480537302017940e+04 6.1743206729750578e+04 5.2163919520231299e+04 4.3613408257468836e+04 3.5973577912384215e+04 2.9136017806396081e+04 2.3000621944160477e+04 1.7474286118566961e+04 1.2115466815693748e+04 7.2565826298825978e+03 2.7996111255799897e+03 -1.3506865719413138e+03 -5.2885278890542695e+03 -9.1090638470065333e+03 -1.2910677484846457e+04 -1.6797847250831430e+04 -2.0884917044924096e+04 -2.5301115974373799e+04 -3.0198598892652622e+04 -3.5760226189278335e+04 -4.2214038898097118e+04 -4.9860151889458284e+04 -5.9097270200131257e+04 -7.0475599498874653e+04 -8.4773053080488069e+04 -1.0311984138444773e+05 -1.2719528906194147e+05 -1.5953264240134720e+05 -2.0396514434696123e+05 -2.6615677902485040e+05 -3.5398833002690482e+05 -4.7725232861760393e+05 -6.4600046582157665e+05 -8.6729144950996654e+05 -1.1411778447803850e+06 -1.4578422401010594e+06 -1.7976452367556824e+06 -2.1348613398278556e+06 -2.4436441565694013e+06 -2.7038819413199974e+06 -2.9049655270740502e+06 -3.0466475654484048e+06 -3.1365370351317790e+06 -3.1868494836668596e+06 -3.2105217017736319e+06 -3.2185439896177952e+06 -3.2186275230224035e+06 -3.2164097763693538e+06 -3.2133174319528462e+06 -3.2097917429533023e+06 -3.2059534327004985e+06 -3.2019467533983234e+06 -3.1977179733433644e+06 -3.1932713390144231e+06 -3.1884279991910253e+06 -3.1832439142357558e+06 -3.1776236602314119e+06 -3.1714926332765045e+06 -3.1647601738184295e+06 -3.1573241622891747e+06 -3.1490674916871139e+06 -3.1398613389737839e+06 -3.1295642407419439e+06 -3.1180184026279403e+06 -3.1050561768175974e+06 -3.0904971257787822e+06 -3.0741551648747288e+06 -3.0558436646181294e+06 -3.0353847472615819e+06 -3.0126662328246636e+06 -2.9874874615540951e+06 -2.9598510507060206e+06 -2.9298209376456444e+06 -2.8976326684511621e+06 -2.8636870709753884e+06 -2.8287471570378914e+06 -2.7939745833993722e+06 -2.7611005087843696e+06 -2.7326424844615604e+06 -2.7121854427685253e+06 -2.7048560366831091e+06 -2.7180174055674463e+06 -2.7624703322225949e+06 -2.8545768320978233e+06 -3.0202552588612298e+06 -3.3029412719752104e+06 7.5918333961002369e+04 +1.6936326318625659e-02 4.9136288979333825e+04 2.0528230085262746e+05 4.7288085255397105e+05 8.1953478215955140e+05 1.1570288908375127e+06 1.3525350802343308e+06 1.3462604312909439e+06 1.2362150904421681e+06 1.1227037389259031e+06 1.0258410021140646e+06 9.3342765607279062e+05 8.4375966073123284e+05 7.5929401376314915e+05 6.8087099113729945e+05 6.0825484728133469e+05 5.4188072264247562e+05 4.8204482188721094e+05 4.2833562443050259e+05 3.8016581019093876e+05 3.3697971912513609e+05 2.9829167334113864e+05 2.6401869960517227e+05 2.3715118239877024e+05 2.2384944788664559e+05 2.1278733937493220e+05 1.9246906769889483e+05 1.6960591333835997e+05 1.4845837952814667e+05 1.2950493392565516e+05 1.1257629223218122e+05 9.7465641545646256e+04 8.3982198167324052e+04 7.1953204804291934e+04 6.1222238974920663e+04 5.1647366058018910e+04 4.3099393307800885e+04 3.5460267366367363e+04 2.8621585221762449e+04 2.2483212756448644e+04 1.6951979426890623e+04 1.1585632559689711e+04 6.7166837150206975e+03 2.2468459405102949e+03 -1.9194665496030439e+03 -5.8769163609740172e+03 -9.7212194679727527e+03 -1.3551473075532058e+04 -1.7473059658894384e+04 -2.1601474519944346e+04 -2.6067422649240933e+04 -3.1024988309821205e+04 -3.6659544666563517e+04 -4.3202462444282901e+04 -5.0958418623347519e+04 -6.0332336697160128e+04 -7.1883139427464994e+04 -8.6401135132415686e+04 -1.0503453746509466e+05 -1.2948922542270774e+05 -1.6233783110267585e+05 -2.0747126904127677e+05 -2.7063404891494988e+05 -3.5980925035194750e+05 -4.8489948360377603e+05 -6.5604354844978766e+05 -8.8032315366674971e+05 -1.1577164310938669e+06 -1.4782286317868507e+06 -1.8219675132950703e+06 -2.1629326529385308e+06 -2.4750370953007676e+06 -2.7380050075242277e+06 -2.9411600876615373e+06 -3.0842826681464300e+06 -3.1750761877389383e+06 -3.2258882826142926e+06 -3.2497897116144309e+06 -3.2578828045295980e+06 -3.2579568281443533e+06 -3.2557091661120150e+06 -3.2525779160723155e+06 -3.2490087520386218e+06 -3.2451234215245438e+06 -3.2410677554564942e+06 -3.2367873014297918e+06 -3.2322863350294554e+06 -3.2273838195561590e+06 -3.2221363960501784e+06 -3.2164474743091105e+06 -3.2102415390434158e+06 -3.2034268230987196e+06 -3.1958999590734467e+06 -3.1875424097652086e+06 -3.1782237750353520e+06 -3.1678008677252200e+06 -3.1561139636320584e+06 -3.1429933664114564e+06 -3.1282564341264279e+06 -3.1117148086561421e+06 -3.0931795801595571e+06 -3.0724706981956135e+06 -3.0494746091665737e+06 -3.0239882061654185e+06 -2.9960141365750451e+06 -2.9656171187492530e+06 -2.9330355768132713e+06 -2.8986752359498679e+06 -2.8633084302291786e+06 -2.8281110099638840e+06 -2.7948352821050920e+06 -2.7660295611794684e+06 -2.7453225780359362e+06 -2.7379036226452170e+06 -2.7512257955050594e+06 -2.7962218410285590e+06 -2.8894536831024089e+06 -3.0571563370984783e+06 -3.3432961232332801e+06 7.6853025497382274e+04 +1.7040708932022912e-02 4.8559955447197339e+04 2.0453371821896764e+05 4.7183842692813510e+05 8.1811203698775358e+05 1.1552372055150454e+06 1.3505336681797451e+06 1.3442735198221551e+06 1.2343569388495651e+06 1.1209778556770799e+06 1.0242290686759489e+06 9.3192444219935953e+05 8.4236150237797736e+05 7.5799444232869067e+05 6.7966254820820712e+05 6.0713025489252619e+05 5.4083226165635651e+05 4.8106455885775958e+05 4.2741615622785984e+05 3.7930043731444620e+05 3.3616240371766192e+05 2.9751696278500109e+05 2.6328140107523382e+05 2.3644412934496551e+05 2.2316171044461444e+05 2.1211730259256662e+05 1.9182287892283054e+05 1.6898395141913829e+05 1.4785783086398963e+05 1.2892275256269821e+05 1.1200966449397350e+05 9.6911991688228227e+04 8.3439155721904201e+04 7.1418570532342375e+04 6.0693951621098022e+04 5.1123469637680188e+04 4.2578004492057356e+04 3.4939542346439899e+04 2.8099685526683250e+04 2.1958269236937573e+04 1.6422053759471371e+04 1.1048065314672984e+04 6.1689094979082092e+03 1.6860296365116753e+03 -2.4965130415827030e+03 -6.4738334867119438e+03 -1.0342221167537793e+04 -1.4201497753688587e+04 -1.8157962323006774e+04 -2.2328277164113184e+04 -2.6844642725169582e+04 -3.1863097923163379e+04 -3.7571561357126397e+04 -4.4204776689523889e+04 -5.2072042450552042e+04 -6.1584582021331589e+04 -7.3310149828390771e+04 -8.8051611934115048e+04 -1.0697541953498939e+05 -1.3181434455536382e+05 -1.6518088690031608e+05 -2.1102428675440664e+05 -2.7517037609536829e+05 -3.6570531675534457e+05 -4.9264226144449005e+05 -6.6620688121657539e+05 -8.9350272774680634e+05 -1.1744315697497686e+06 -1.4988191306136714e+06 -1.8465184657673838e+06 -2.1912531067318614e+06 -2.5066952083304510e+06 -2.7724051049143407e+06 -2.9776399385406286e+06 -3.1222084272243278e+06 -3.2139091594196828e+06 -3.2652225096675688e+06 -3.2893537541858563e+06 -3.2975176775387856e+06 -3.2975819236950334e+06 -3.2953040688462476e+06 -3.2921335997359417e+06 -3.2885206263734638e+06 -3.2845879197544646e+06 -3.2804828979778485e+06 -3.2761503813398732e+06 -3.2715946742477459e+06 -3.2666325381963709e+06 -3.2613212999231080e+06 -3.2555631941499999e+06 -3.2492817873589243e+06 -3.2423841964651626e+06 -3.2347657968492014e+06 -3.2263066103815683e+06 -3.2168746478198916e+06 -3.2063249855070696e+06 -3.1944959547922090e+06 -3.1812157954034042e+06 -3.1662996444309331e+06 -3.1495568531618789e+06 -3.1307962142657950e+06 -3.1098354882969861e+06 -3.0865597375775399e+06 -3.0607633898356245e+06 -3.0324491227366999e+06 -3.0016824414849733e+06 -2.9687046698877001e+06 -2.9339264672934967e+06 -2.8981295601054369e+06 -2.8625040989326118e+06 -2.8288236978340633e+06 -2.7996676660706005e+06 -2.7787088622411205e+06 -2.7711996842746134e+06 -2.7846838701558220e+06 -2.8302271180855045e+06 -2.9245927634467641e+06 -3.0943348641825528e+06 -3.3839543903629109e+06 7.7799199758791801e+04 +1.7145734880330856e-02 4.7977811347342074e+04 2.0377954404162912e+05 4.7079078758204222e+05 8.1668455005008879e+05 1.1534411826003001e+06 1.3485280492395014e+06 1.3422822211854875e+06 1.2324940740815506e+06 1.1192469445372517e+06 1.0226118313636804e+06 9.3041566687441687e+05 8.4095754596026451e+05 7.5668886174939200e+05 6.7844791050865222e+05 6.0599930840043304e+05 5.3977731167631363e+05 4.8007769413146324e+05 4.2648999276635901e+05 3.7842829259669682e+05 3.3533825459169986e+05 2.9673536933853634e+05 2.6253717998913059e+05 2.3573010790983128e+05 2.2246691579860167e+05 2.1144010498141282e+05 1.9116946672084930e+05 1.6835473076935965e+05 1.4724999877125220e+05 1.2833326891333860e+05 1.1143571927084701e+05 9.6351010936664199e+04 8.2888768944810858e+04 7.0876576638834129e+04 6.0158285649731806e+04 5.0592169975930716e+04 4.2049180161289143e+04 3.4411339726219820e+04 2.7570253990472134e+04 2.1425724904487626e+04 1.5884440713949014e+04 1.0502694388988688e+04 5.6131867191539086e+03 1.1170860511381370e+03 -3.0819055184721456e+03 -7.0793625354790165e+03 -1.0972156608709109e+04 -1.4860844300171664e+04 -1.8852654025394870e+04 -2.3065430843182006e+04 -2.7632890482005023e+04 -3.2713052072893090e+04 -3.8496412706458003e+04 -4.5221132743310118e+04 -5.3201192391280980e+04 -6.2854197276723986e+04 -7.4756849352385019e+04 -8.9724736961005226e+04 -1.0894278573751834e+05 -1.3417100265766104e+05 -1.6806224201205393e+05 -2.1462472876581197e+05 -2.7976641770865495e+05 -3.7167733814624063e+05 -5.0048163943958725e+05 -6.7649160759814165e+05 -9.0683145467473636e+05 -1.1913246343768381e+06 -1.5196151409079856e+06 -1.8712994721725467e+06 -2.2198240108952187e+06 -2.5386197157642040e+06 -2.8070833623860325e+06 -3.0144061297281976e+06 -3.1604258327986440e+06 -3.2530368997587278e+06 -3.3048530898383600e+06 -3.3292147410289352e+06 -3.3374495133359549e+06 -3.3375037108647637e+06 -3.3351953842031020e+06 -3.3319853813358322e+06 -3.3283282632268039e+06 -3.3243478235455654e+06 -3.3201930759882019e+06 -3.3158081069180537e+06 -3.3111972492695912e+06 -3.3061750463605225e+06 -3.3007995156460390e+06 -3.2949717079807846e+06 -3.2886142647383395e+06 -3.2816331785466732e+06 -3.2739225581654543e+06 -3.2653609737740858e+06 -3.2558148350021099e+06 -3.2451374688787023e+06 -3.2331652476756265e+06 -3.2197243317412785e+06 -3.2046276205613026e+06 -3.1876821576961088e+06 -3.1686944211259382e+06 -3.1474799660334052e+06 -3.1239224601738723e+06 -3.0978138476499738e+06 -3.0691568365453472e+06 -3.0380177248059711e+06 -3.0046407576376242e+06 -2.9694415654786243e+06 -2.9332113373747878e+06 -2.8971546312878220e+06 -2.8630665277640391e+06 -2.8335575629792763e+06 -2.8123450535085187e+06 -2.8047449776468510e+06 -2.8183923892747122e+06 -2.8644869355689832e+06 -2.9599948710586396e+06 -3.1317916843472919e+06 -3.4249169966016430e+06 7.8756997345459778e+04 +1.7251408128575792e-02 4.7389783697303974e+04 2.0301971006845534e+05 4.6973786151910591e+05 8.1525224666029331e+05 1.1516407381593552e+06 1.3465181422274851e+06 1.3402864642565127e+06 1.2306264251093557e+06 1.1175109449072934e+06 1.0209892287853936e+06 9.2890126951358910e+05 8.3954773263343261e+05 7.5537721450878738e+05 6.7722702167843329e+05 6.0486195207096532e+05 5.3871581752342533e+05 4.7908417288933275e+05 4.2555707940008072e+05 3.7754932141541771e+05 3.3450721702202311e+05 2.9594683806942723e+05 2.6178598113515647e+05 2.3500906280403375e+05 2.2176500940259584e+05 2.1075569292147356e+05 1.9050877756657713e+05 1.6771819746106621e+05 1.4663482873949382e+05 1.2773642776751713e+05 1.1085440055091072e+05 9.5782642382880353e+04 8.2330979941485828e+04 7.0327164154239974e+04 5.9615180925943183e+04 5.0053405677960545e+04 4.1512857558715725e+04 3.3875595273365878e+04 2.7033224776432144e+04 2.0885512169330272e+04 1.5339070774169439e+04 9.9494479680782442e+03 5.0494409832023348e+03 5.3993786766929122e+02 -3.6757246288205865e+03 -7.6935879845962136e+03 -1.1611114700333479e+04 -1.5529606788328985e+04 -1.9557234898081431e+04 -2.3813042842793682e+04 -2.8432281705356592e+04 -3.3574976710343588e+04 -3.9434236901855453e+04 -4.6251683619269403e+04 -5.4346039573363290e+04 -6.4141375931406204e+04 -7.6223459339619410e+04 -9.1420766793359435e+04 -1.1093693785413756e+05 -1.3655956025017652e+05 -1.7098233385061377e+05 -2.1827313262696323e+05 -2.8442283842100587e+05 -3.7772613226738042e+05 -5.0841860489909782e+05 -6.8689888190445839e+05 -9.2031062852900696e+05 -1.2083970095851673e+06 -1.5406180774462274e+06 -1.8963119202818300e+06 -2.2486466842008363e+06 -2.5708118462475087e+06 -2.8420409169479473e+06 -3.0514597190443925e+06 -3.1989358825963517e+06 -3.2924603658317402e+06 -3.3447809555590637e+06 -3.3693735910615954e+06 -3.3776792239511823e+06 -3.3777230981832230e+06 -3.3753840191378952e+06 -3.3721341665757331e+06 -3.3684325671772650e+06 -3.3644040363555565e+06 -3.3601991918036877e+06 -3.3557613792855549e+06 -3.3510949599586413e+06 -3.3460122425469193e+06 -3.3405719402567316e+06 -3.3346739112526323e+06 -3.3282398649014691e+06 -3.3211746611742950e+06 -3.3133711327566118e+06 -3.3047063873530594e+06 -3.2950452213882222e+06 -3.2842391997480351e+06 -3.2721227209350048e+06 -3.2585198504221626e+06 -3.2432412334154346e+06 -3.2260915885545923e+06 -3.2068750618683631e+06 -3.1854049867726718e+06 -3.1615636259189728e+06 -3.1351404214714007e+06 -3.1061381120783091e+06 -3.0746237943332726e+06 -3.0408446566102225e+06 -3.0052213374883682e+06 -2.9685545591662265e+06 -2.9320633943664487e+06 -2.8975645499697914e+06 -2.8677000219565993e+06 -2.8462319161241390e+06 -2.8385402649831716e+06 -2.8523521187926810e+06 -2.8990020719386418e+06 -2.9956608103499897e+06 -3.1695276486981050e+06 -3.4661848726951689e+06 7.9726560570523026e+04 +1.7357732666221419e-02 4.6795799503594797e+04 2.0225413578207538e+05 4.6867957662518590e+05 8.1381504476822086e+05 1.1498357979660654e+06 1.3445038915319743e+06 1.3382861654145264e+06 1.2287539251222352e+06 1.1157697928143926e+06 1.0193611985012069e+06 9.2738118869790446e+05 8.3813200270169589e+05 7.5405944191961177e+05 6.7599982420595479e+05 6.0371812903543061e+05 5.3764772286014608e+05 4.7808393913380709e+05 4.2461736030593171e+05 3.7666346797904739e+05 3.3366923511825525e+05 2.9515131288235047e+05 2.6102774814278106e+05 2.3428093758193788e+05 2.2105593554389523e+05 2.1006401161387973e+05 1.8984075675344816e+05 1.6707429639135627e+05 1.4601226508932639e+05 1.2713217275354588e+05 1.1026565116826912e+05 9.5206827972377956e+04 8.1765729678301170e+04 6.9770272976193155e+04 5.9064576187926352e+04 4.9507114226880127e+04 4.0968972808541155e+04 3.3332243638031519e+04 2.6488530929731995e+04 2.0337562320836641e+04 1.4785873297395894e+04 9.3882531012161653e+03 4.4775967445562783e+03 -4.5493399222240022e+01 -4.2780522141154497e+03 -8.3165955352473447e+03 -1.2259185613688138e+04 -1.6207880601595574e+04 -2.0271806441549386e+04 -2.4571221888466356e+04 -2.9242933707985525e+04 -3.4448999421358829e+04 -4.0385173897229201e+04 -4.7296584262149838e+04 -5.5506757261803657e+04 -6.5446313850569335e+04 -7.7710203856648193e+04 -9.3139961158850114e+04 -1.1295818135324326e+05 -1.3898038223446012e+05 -1.7394160509171902e+05 -2.2197004224105645e+05 -2.8914031051318947e+05 -3.8385252579851210e+05 -5.1645415525115706e+05 -6.9742986938554572e+05 -9.3394155465015769e+05 -1.2256500910731356e+06 -1.5618293655712621e+06 -1.9215572077483055e+06 -2.2777224546544575e+06 -2.6032728370955838e+06 -2.8772789138578712e+06 -3.0888017722901427e+06 -3.2377395821305364e+06 -3.3321805223728176e+06 -3.3850070468339776e+06 -3.4098312307319632e+06 -3.4182077289345860e+06 -3.4182410016611791e+06 -3.4158708880830738e+06 -3.4125808686334868e+06 -3.4088344502688660e+06 -3.4047574690900482e+06 -3.4005021551836831e+06 -3.3960111069946229e+06 -3.3912887136053559e+06 -3.3861450326698022e+06 -3.3806394782009483e+06 -3.3746707068111831e+06 -3.3681594889546083e+06 -3.3610095435349373e+06 -3.3531124177032071e+06 -3.3443437458511372e+06 -3.3345666990959486e+06 -3.3236310673066177e+06 -3.3113692604840226e+06 -3.2976032336758589e+06 -3.2821413610876747e+06 -3.2647860191805945e+06 -3.2453390047430051e+06 -3.2236114129445413e+06 -3.1994840907874582e+06 -3.1727439601211362e+06 -3.1433937903054869e+06 -3.1115014825000837e+06 -3.0773171900975639e+06 -3.0412665969648301e+06 -3.0041600292042354e+06 -2.9672311820121822e+06 -2.9323185489476873e+06 -2.9020958194122929e+06 -2.8803702206882704e+06 -2.8725863148041232e+06 -2.8865638309653006e+06 -2.9337733120838413e+06 -3.0315913923779568e+06 -3.2075436153626065e+06 -3.5077589570866204e+06 8.0708033480733633e+04 +1.7464712507319454e-02 4.6195782242741290e+04 2.0148275185659362e+05 4.6761585430348007e+05 8.1237287717649853e+05 1.1480262982826463e+06 1.3424852167152844e+06 1.3362812606713974e+06 1.2268765088165298e+06 1.1140234204009071e+06 1.0177276755488560e+06 9.2585536258829688e+05 8.3671029546310636e+05 7.5273548416813265e+05 6.7476625939294149e+05 6.0256778128713905e+05 5.3657297019317688e+05 4.7707693567723443e+05 4.2367077847749495e+05 3.7577067531783803e+05 3.3282425181512313e+05 2.9434873651097424e+05 2.6026242347462534e+05 2.3354567463322735e+05 2.2033963733523089e+05 2.0936500507216365e+05 1.8916534838646726e+05 1.6642297127315315e+05 1.4538225096403569e+05 1.2652044632905409e+05 1.0966941279367582e+05 9.4623508494536116e+04 8.1192957972239456e+04 6.9205841859489519e+04 5.8506409036425466e+04 4.8953231972566660e+04 4.0417460904774569e+04 3.2781218341215987e+04 2.5936104365587755e+04 1.9781805515010536e+04 1.4224776501546183e+04 8.8190356882800188e+03 3.8975772939488138e+03 -6.3928741792668200e+02 -4.8889713239102030e+03 -8.9484721283125546e+03 -1.2916460799217055e+04 -1.6895762451114922e+04 -2.0996471543491283e+04 -2.5340078165508814e+04 -3.0064965351235183e+04 -3.5335249449095427e+04 -4.1349365438342211e+04 -4.8355991575420478e+04 -5.6683520889226762e+04 -6.6769209329948921e+04 -7.9217309734638882e+04 -9.4882582975145677e+04 -1.1500682543977289e+05 -1.4143383795009731e+05 -1.7694050374165233e+05 -2.2571600794191111e+05 -2.9391951397052576e+05 -3.9005735445669945e+05 -5.2458929815141333e+05 -7.0808574634346017e+05 -9.4772554975130002e+05 -1.2430852857379795e+06 -1.5832504412959537e+06 -1.9470367422294498e+06 -2.3070526596052181e+06 -2.6360039344291398e+06 -2.9127985067872982e+06 -3.1264333633824289e+06 -3.2768379448430086e+06 -3.3721983419264979e+06 -3.4255323114200286e+06 -3.4505885941967871e+06 -3.4590359555121409e+06 -3.4590583449815824e+06 -3.4566569131300752e+06 -3.4533264083340080e+06 -3.4495348321744525e+06 -3.4454090402855896e+06 -3.4411028835050045e+06 -3.4365582062128442e+06 -3.4317794251019643e+06 -3.4265743302264819e+06 -3.4210030414889557e+06 -3.4149630050623757e+06 -3.4083740455462663e+06 -3.4011387323503755e+06 -3.3931473175892071e+06 -3.3842739514900455e+06 -3.3743801677097850e+06 -3.3633139681883333e+06 -3.3509057596437316e+06 -3.3369753711102968e+06 -3.3213288890158925e+06 -3.3037663303344687e+06 -3.2840871252570478e+06 -3.2621001142014018e+06 -3.2376847179191108e+06 -3.2106253195293327e+06 -3.1809247192315315e+06 -3.1486516287158304e+06 -3.1140591882783896e+06 -3.0775781643647659e+06 -3.0400285579323294e+06 -3.0026587947044470e+06 -2.9673293157608015e+06 -2.9367457382614859e+06 -2.9147607442509304e+06 -2.9068839020571406e+06 -2.9210283045172505e+06 -2.9688014474583757e+06 -3.0677874349872745e+06 -3.2458404496551636e+06 -3.5496401960565969e+06 8.1701561877407192e+04 +1.7572351690661171e-02 4.5589656272303524e+04 2.0070547642429383e+05 4.6654662151676201e+05 8.1092566586956405e+05 1.1462121671331932e+06 1.3404620383171695e+06 1.3342716778843238e+06 1.2249941078356514e+06 1.1122717608021528e+06 1.0160885943079480e+06 9.2432372783070116e+05 8.3528254862251214e+05 7.5140528032183461e+05 6.7352626732766617e+05 6.0141084965382144e+05 5.3549150086986867e+05 4.7606310413509066e+05 4.2271727571849368e+05 3.7487088527418120e+05 3.3197220886535378e+05 2.9353905050954450e+05 2.5948994841836957e+05 2.3280321517471463e+05 2.1961605670526923e+05 2.0865861611363062e+05 1.8848249537315645e+05 1.6576416462646419e+05 1.4474472832020029e+05 1.2590118977176685e+05 1.0906562592480610e+05 9.4032623572634679e+04 8.0612603480824255e+04 6.8633808405562915e+04 5.7940615924080419e+04 4.8391694120757296e+04 3.9858255699609770e+04 3.2222451763081244e+04 2.5375875857067560e+04 1.9218170762037855e+04 1.3655707452212102e+04 8.2417204662357653e+03 3.3093047443474520e+03 -1.2415250544528424e+03 -5.5085662310358084e+03 -9.5893059603671863e+03 -1.3583033003282379e+04 -1.7593350393544235e+04 -2.1731334497697131e+04 -2.6119723339335731e+04 -3.0898497066681008e+04 -3.6233857717635394e+04 -4.2326955088008726e+04 -4.9430064448865749e+04 -5.7876508086072296e+04 -6.8110263129786312e+04 -8.0745006606855968e+04 -9.6648898393464115e+04 -1.1708318310524611e+05 -1.4392030123362746e+05 -1.7997948320641977e+05 -2.2951158657501053e+05 -2.9876113657769433e+05 -3.9634146309837536e+05 -5.3282505158942449e+05 -7.1886770024237677e+05 -9.6166394202924240e+05 -1.2607040117845153e+06 -1.6048827514230309e+06 -1.9727519415001832e+06 -2.3366386458729114e+06 -2.6690063933160179e+06 -2.9486008579493510e+06 -3.1643555745124104e+06 -3.3162319922697754e+06 -3.4125148050258979e+06 -3.4663577049863492e+06 -3.4916466234829831e+06 -3.5001648387521626e+06 -3.5001760596528505e+06 -3.4977430241846135e+06 -3.4943717143048681e+06 -3.4905346403797646e+06 -3.4863596762728160e+06 -3.4820023019259302e+06 -3.4774036008714079e+06 -3.4725680170859238e+06 -3.4673010564683946e+06 -3.4616635498703076e+06 -3.4555517241309383e+06 -3.4488844510310995e+06 -3.4415631420279830e+06 -3.4334767446773453e+06 -3.4244979141504979e+06 -3.4144865344402744e+06 -3.4032888066300224e+06 -3.3907331193201179e+06 -3.3766371598890610e+06 -3.3608047101497008e+06 -3.3430334102455578e+06 -3.3231203063475741e+06 -3.3008719675692515e+06 -3.2761663777736262e+06 -3.2487853628763692e+06 -3.2187317540607601e+06 -3.1860750794984037e+06 -3.1510714883765639e+06 -3.1141568671062905e+06 -3.0761609626689120e+06 -3.0383470397202703e+06 -3.0025976481840378e+06 -2.9716505680516683e+06 -2.9494042704504742e+06 -2.9414338082625973e+06 -2.9557463247684855e+06 -3.0040872762319241e+06 -3.1042497629586793e+06 -3.2844190242260238e+06 -3.5918295439334763e+06 8.2707293337634852e+04 +1.7680654279929875e-02 4.4977345466994993e+04 1.9992223840725826e+05 4.6547180028912105e+05 8.0947333648297598e+05 1.1443933285001256e+06 1.3384342842714856e+06 1.3322573461047814e+06 1.2231066471246097e+06 1.1105147446579714e+06 1.0144438892386759e+06 9.2278621902834775e+05 8.3384869836667390e+05 7.5006876830135589e+05 6.7227978686192213e+05 6.0024727376989287e+05 5.3440325506801682e+05 4.7504238491981360e+05 4.2175679263771110e+05 3.7396403849786409e+05 3.3111304683051357e+05 2.9272219524448039e+05 2.5871026307818110e+05 2.3205349924103706e+05 2.1888513439204852e+05 2.0794478635075764e+05 1.8779213941491480e+05 1.6509781776991376e+05 1.4409963791846405e+05 1.2527434317017626e+05 1.0845422987695811e+05 9.3434111654328153e+04 8.0024603692296776e+04 6.8054109052040585e+04 5.7367132144276708e+04 4.7822434721678765e+04 3.9291289892188222e+04 3.1655875131033747e+04 2.4807775022808870e+04 1.8646585913670053e+04 1.3078592049613495e+04 7.6562309956321305e+03 2.7127000168904242e+03 -1.8522883871091019e+03 -6.1369224469458841e+03 -1.0239186499750911e+04 -1.4258996285189200e+04 -1.8300743848964979e+04 -2.2476501023132525e+04 -2.6910270575614875e+04 -3.1743650878107695e+04 -3.7144956855460878e+04 -4.3318088251880268e+04 -5.0518963786377324e+04 -5.9085898711439557e+04 -6.9469678508846700e+04 -8.2293526947562059e+04 -9.8439176842390647e+04 -1.1918757117849073e+05 -1.4644015047724702e+05 -1.8305900236015473e+05 -2.3335734157840905e+05 -3.0366587400909222e+05 -4.0270570582376659e+05 -5.4116244400053611e+05 -7.2977692982208706e+05 -9.7575807127269858e+05 -1.2785076988348521e+06 -1.6267277536486590e+06 -1.9987042335662360e+06 -2.3664817698731432e+06 -2.7022814778875816e+06 -2.9846871382456049e+06 -3.2025694962931508e+06 -3.3559227541972753e+06 -3.4531309003335480e+06 -3.5074841912672361e+06 -3.5330062686483855e+06 -3.5415953217356405e+06 -3.5415950851741200e+06 -3.5391301591386688e+06 -3.5357177231545323e+06 -3.5318348103182595e+06 -3.5276103113261191e+06 -3.5232013435430955e+06 -3.5185482228370970e+06 -3.5136554201302840e+06 -3.5083261405471591e+06 -3.5026219309929470e+06 -3.4964377900235630e+06 -3.4896916296271645e+06 -3.4822836948297224e+06 -3.4741016190620884e+06 -3.4650165515116872e+06 -3.4548867142928443e+06 -3.4435564946307987e+06 -3.4308522481446043e+06 -3.4165895048606750e+06 -3.4005697251086673e+06 -3.3825881547671892e+06 -3.3624394385361262e+06 -3.3399278576040887e+06 -3.3149299482895243e+06 -3.2872249607605007e+06 -3.2568157573355529e+06 -3.2237726886428241e+06 -3.1883549348032498e+06 -3.1510035397056690e+06 -3.1125580677538728e+06 -3.0742967312598373e+06 -3.0381243508333513e+06 -3.0068111051101163e+06 -2.9843015896580638e+06 -2.9762368216574839e+06 -2.9907186837921124e+06 -3.0396316034274320e+06 -3.1409792081566215e+06 -3.3232802192201433e+06 -3.6343279632184533e+06 8.3725377235731459e+04 +1.7789624363854319e-02 4.4358771324632842e+04 1.9913295207307593e+05 4.6439131162784767e+05 8.0801581509611208e+05 1.1425696827146329e+06 1.3364018890206513e+06 1.3302381930463747e+06 1.2212140584947122e+06 1.1087523018674366e+06 1.0127934923677739e+06 9.2124277005076606e+05 8.3240868010369735e+05 7.4872588483420503e+05 6.7102675561721181e+05 5.9907699205238023e+05 5.3330817176473956e+05 4.7401471724142111e+05 4.2078926864302519e+05 3.7305007443350018e+05 3.3024670507209114e+05 2.9189810988576617e+05 2.5792330636617829e+05 2.3129646567604991e+05 2.1814680993229934e+05 2.0722345618299674e+05 1.8709422099830018e+05 1.6442387081147658e+05 1.4344691931452852e+05 1.2463984541364534e+05 1.0783516277281188e+05 9.2827910000891119e+04 7.9428894914530625e+04 6.7466679061943170e+04 5.6785891820604149e+04 4.7245386658964228e+04 3.8716495016770001e+04 3.1081418507767121e+04 2.4231730314727025e+04 1.8066977650395853e+04 1.2493355015436136e+04 7.0624896469426258e+03 2.1076828266863645e+03 -2.4716607212901586e+03 -6.7741267371801578e+03 -1.0898204502781904e+04 -1.4944446034203718e+04 -1.9018043619016546e+04 -2.3232078283135957e+04 -2.7711834561026953e+04 -3.2600550423204691e+04 -3.8068681219176666e+04 -4.4322912203982734e+04 -5.1622852534496691e+04 -6.0311874884103207e+04 -7.0847661258973283e+04 -8.3863106110222550e+04 -1.0025369107184705e+05 -1.2132031037652280e+05 -1.4899376868927592e+05 -1.8617952561706968e+05 -2.3725384306410700e+05 -3.0863442992452870e+05 -4.0915094607848942e+05 -5.4960251437276066e+05 -7.4081464520478225e+05 -9.9000928897444345e+05 -1.2964977880329243e+06 -1.6487869166717846e+06 -2.0248950567788209e+06 -2.3965833977409713e+06 -2.7358304614886986e+06 -3.0210585274048746e+06 -3.2410762279093494e+06 -3.3959112688144231e+06 -3.4940476248171618e+06 -3.5489127422322938e+06 -3.5746684879409946e+06 -3.5833283557087905e+06 -3.5833163691940526e+06 -3.5808192640176476e+06 -3.5773653796135057e+06 -3.5734362855525641e+06 -3.5691618878358621e+06 -3.5647009495588271e+06 -3.5599930120639820e+06 -3.5550425728775021e+06 -3.5496505196882407e+06 -3.5438791205522385e+06 -3.5376221367856083e+06 -3.5307965135815381e+06 -3.5233013210166669e+06 -3.5150228688188135e+06 -3.5058307892280477e+06 -3.4955816302084173e+06 -3.4841179521139711e+06 -3.4712640626441026e+06 -3.4568333187482804e+06 -3.4406248423207817e+06 -3.4224314675283306e+06 -3.4020454200662035e+06 -3.3792686765413536e+06 -3.3539763150149449e+06 -3.3259449913351969e+06 -3.2951775990822637e+06 -3.2617453173469668e+06 -3.2259103792983131e+06 -3.1881190239262730e+06 -3.1492207046762272e+06 -3.1105086905959868e+06 -3.0739102353238789e+06 -3.0422281526822299e+06 -3.0194534991009729e+06 -3.0112937373164953e+06 -3.0259461805294785e+06 -3.0754352410537018e+06 -3.1779766096618399e+06 -3.3624249224256827e+06 -3.6771364247788512e+06 8.4755964764954697e+04 +1.7899266056363067e-02 4.3733855235267903e+04 1.9833754817251759e+05 4.6330508158768690e+05 8.0655301129051950e+05 1.1407411766539554e+06 1.3343647637408623e+06 1.3282141521641247e+06 1.2193162668426014e+06 1.1069843633457818e+06 1.0111373341959665e+06 9.1969331433443190e+05 8.3096242864012613e+05 7.4737656535916869e+05 6.6976711000671051e+05 5.9789994170307519e+05 5.3220618870805681e+05 4.7298003910491581e+05 4.1981464193552535e+05 3.7212893131358625e+05 3.2937312174481578e+05 2.9106673239817208e+05 2.5712901599276403e+05 2.3053205212288265e+05 2.1740102165346319e+05 2.0649456478646971e+05 1.8638867938539048e+05 1.6374226263846233e+05 1.4278651084942278e+05 1.2399763418328454e+05 1.0720836153283236e+05 9.2213954677661590e+04 7.8825412265375140e+04 6.6871452512965072e+04 5.6196827895286624e+04 4.6660481638094658e+04 3.8133801430994339e+04 3.0499010779007225e+04 2.3647669005510441e+04 1.7479271468609728e+04 1.1899919879531539e+04 6.4604175867706399e+03 1.4941716684874391e+03 -3.0997266044051703e+03 -7.4202671369532463e+03 -1.1566452030155262e+04 -1.5639478986783679e+04 -1.9745351904986033e+04 -2.3998174904734082e+04 -2.8524531523727564e+04 -3.3469320976195268e+04 -3.9005166917512841e+04 -4.5341576112905364e+04 -5.2741895710298908e+04 -6.1554621013886608e+04 -7.2244419739890596e+04 -8.5453982367374512e+04 -1.0209271719793248e+05 -1.2348172535622491e+05 -1.5158154355350416e+05 -1.8934152300050677e+05 -2.4120166790227543e+05 -3.1366751606313069e+05 -4.1567805675960396e+05 -5.5814631236024958e+05 -7.5198206801201263e+05 -1.0044189584397348e+06 -1.3146757321593822e+06 -1.6710617203092442e+06 -2.0513258599514912e+06 -2.4269449054430891e+06 -2.7696546267862669e+06 -3.0577162141236202e+06 -3.2798768772602892e+06 -3.4361985828605671e+06 -3.5352659838882545e+06 -3.5906443382390528e+06 -3.6166342479658588e+06 -3.6253649002440292e+06 -3.6253408676748802e+06 -3.6228112931515463e+06 -3.6193156367055341e+06 -3.6153400179216568e+06 -3.6110153564612353e+06 -3.6065020694330833e+06 -3.6017389167547463e+06 -3.5967304222157993e+06 -3.5912751393367676e+06 -3.5854360624601282e+06 -3.5791057066617669e+06 -3.5722000433152812e+06 -3.5646169590190989e+06 -3.5562414301725617e+06 -3.5469415610812823e+06 -3.5365722132344437e+06 -3.5249741070651980e+06 -3.5119694873870201e+06 -3.4973695222710990e+06 -3.4809709781966601e+06 -3.4625642600909458e+06 -3.4419391570714423e+06 -3.4188953244464505e+06 -3.3933063712783195e+06 -3.3649463404598041e+06 -3.3338181569680669e+06 -3.2999938343750485e+06 -3.2637386810808913e+06 -3.2255041689182669e+06 -3.1861497122263564e+06 -3.1469837462072633e+06 -3.1099561203801367e+06 -3.0779025210587322e+06 -3.0548608030000399e+06 -3.0466053572918982e+06 -3.0614296209390434e+06 -3.1114990082493471e+06 -3.2152428139259806e+06 -3.4018540294147544e+06 -3.7202559080046094e+06 8.5799208959474505e+04 +1.8009583496739805e-02 4.3102517097310556e+04 1.9753594053220763e+05 4.6221302075874305e+05 8.0508485523306206e+05 1.1389077305084514e+06 1.3323228411499888e+06 1.3261851319989150e+06 1.2174132040343655e+06 1.1052108603151117e+06 1.0094753451367372e+06 9.1813778346592374e+05 8.2950987770698452e+05 7.4602074406528973e+05 6.6850078526685119e+05 5.9671605872052396e+05 5.3109724239244324e+05 4.7193828730831895e+05 4.1883284949884895e+05 3.7120054615047330e+05 3.2849223378680903e+05 2.9022799953270401e+05 2.5632732845876683e+05 2.2976019501529311e+05 2.1664770666426685e+05 2.0575805010641069e+05 1.8567545260532372e+05 1.6305293090939001e+05 1.4211834963987995e+05 1.2334764594132238e+05 1.0657376186474375e+05 9.1592180543242488e+04 7.8214089661102407e+04 6.6268362286353455e+04 5.5599872118340536e+04 4.6067650174850154e+04 3.7543138304032545e+04 2.9908579641537035e+04 2.3055517175996087e+04 1.6883391667637716e+04 1.1298208966472337e+04 5.8499347639421840e+03 8.7208380225061626e+02 -3.7365718409214310e+03 -8.0754329668808605e+03 -1.2244022463345782e+04 -1.6344193243950347e+04 -2.0482772326246290e+04 -2.4774900998152112e+04 -2.9348479254259164e+04 -3.4350089469827064e+04 -3.9954551835527389e+04 -4.6374231067983070e+04 -5.3876260430711278e+04 -6.2814323833146380e+04 -7.3660164914493915e+04 -8.7066396949677626e+04 -1.0395653474842515e+05 -1.2567214476669577e+05 -1.5420386749112819e+05 -1.9254547021588514e+05 -2.4520139980333502e+05 -3.1876585233896674e+05 -4.2228792032134428e+05 -5.6679489839183120e+05 -7.6328043147512269e+05 -1.0189884548998649e+06 -1.3330429957383308e+06 -1.6935536555982444e+06 -2.0779981024681146e+06 -2.4575676789049460e+06 -2.8037552659191987e+06 -3.0946613961971253e+06 -3.3189725611053170e+06 -3.4767857517819037e+06 -3.5767869915664173e+06 -3.6326799681921694e+06 -3.6589045238260110e+06 -3.6677059233974498e+06 -3.6676695450445144e+06 -3.6651072093279613e+06 -3.6615694559027525e+06 -3.6575469677033378e+06 -3.6531716762896851e+06 -3.6486056610390898e+06 -3.6437868935200800e+06 -3.6387199234159230e+06 -3.6332009533206066e+06 -3.6272937089907941e+06 -3.6208894502496324e+06 -3.6139031675949348e+06 -3.6062315555872782e+06 -3.5977582476466000e+06 -3.5883498091182704e+06 -3.5778594026675560e+06 -3.5661258957046978e+06 -3.5529694551346120e+06 -3.5381990443181777e+06 -3.5216090572676975e+06 -3.5029874520942289e+06 -3.4821215637159841e+06 -3.4588087093571504e+06 -3.4329210183250858e+06 -3.4042299018455986e+06 -3.3727383164370577e+06 -3.3385191161902468e+06 -3.3018407069799067e+06 -3.2631598313574949e+06 -3.2233459366274681e+06 -3.1837227339188103e+06 -3.1462628319908795e+06 -3.1138350277112415e+06 -3.0905243127169828e+06 -3.0821724907466141e+06 -3.0971698181173149e+06 -3.1478237314084587e+06 -3.2527786748987059e+06 -3.4415684437021171e+06 -3.7636874009627802e+06 8.6855264716606616e+04 +1.8120580849779605e-02 4.2464676576479229e+04 1.9672804897949126e+05 4.6111505659141653e+05 8.0361126220964466e+05 1.1370692561258706e+06 1.3302760281427621e+06 1.3241510630362541e+06 1.2155047974979184e+06 1.1034317193318938e+06 1.0078074547423064e+06 9.1657610729318915e+05 8.2805095961136487e+05 7.4465835410100769e+05 6.6722771546954766e+05 5.9552527790428267e+05 5.2998126805724727e+05 4.7088939743152127e+05 4.1784382708808349e+05 3.7026485472532560e+05 3.2760397691162420e+05 2.8938184681714664e+05 2.5551817904483064e+05 2.2898082956686738e+05 2.1588680084464693e+05 2.0501384884677490e+05 1.8495447744408916e+05 1.6235581204349347e+05 1.4144237156857562e+05 1.2268981592177259e+05 1.0593129825384282e+05 9.0962521238963483e+04 7.7594859806252192e+04 6.5657340056189656e+04 5.4994955035804138e+04 4.5466821583562407e+04 3.6944433604533893e+04 2.9310051590587929e+04 2.2455199702424041e+04 1.6279261336575591e+04 1.0688143382061286e+04 5.2309598954756702e+03 2.4133523856121855e+02 -4.3822835075238263e+03 -8.7397148488085350e+03 -1.2931010521294409e+04 -1.7058688288778678e+04 -2.1230409938760757e+04 -2.5562368176524284e+04 -3.0183797126534871e+04 -3.5242984518161829e+04 -4.0916975658877884e+04 -4.7421030105854021e+04 -5.5026115940929791e+04 -6.4091172428917162e+04 -7.5095110384352403e+04 -8.8700594086323574e+04 -1.0584542670783514e+05 -1.2789190130190075e+05 -1.5686113772166026e+05 -1.9579184872226341e+05 -2.4925362940300663e+05 -3.2393016693761607e+05 -4.2898142888086400e+05 -5.7554934378574521e+05 -7.7471098054740310e+05 -1.0337191656210353e+06 -1.3516010551437656e+06 -1.7162642249109703e+06 -2.1049132543973960e+06 -2.4884531141278683e+06 -2.8381336806055857e+06 -3.1318952806619275e+06 -3.3583644052122170e+06 -3.5176738398735486e+06 -3.6186116706276634e+06 -3.6750206296920078e+06 -3.7014802992962329e+06 -3.7103524018666144e+06 -3.7103033743434935e+06 -3.7077079839348197e+06 -3.7041278072708012e+06 -3.7000581037626369e+06 -3.6956318149842001e+06 -3.6910126908226279e+06 -3.6861379075261932e+06 -3.6810120403010775e+06 -3.6754289239948248e+06 -3.6694530209419769e+06 -3.6629743266391126e+06 -3.6559068436613372e+06 -3.6481460659318501e+06 -3.6395742742115152e+06 -3.6300564838217818e+06 -3.6194441462060418e+06 -3.6075742626201850e+06 -3.5942649069937347e+06 -3.5793228220791691e+06 -3.5625400123283807e+06 -3.5437019714086959e+06 -3.5225935623346157e+06 -3.4990097474445575e+06 -3.4728211654569679e+06 -3.4437965772011937e+06 -3.4119389708550218e+06 -3.3773220470851567e+06 -3.3402173315788601e+06 -3.3010868755837390e+06 -3.2608102316755266e+06 -3.2207264970261306e+06 -3.1828312035291675e+06 -3.1500264974261997e+06 -3.1264448468565950e+06 -3.1179959540774273e+06 -3.1331675924347858e+06 -3.1844102443211940e+06 -3.2905850541644609e+06 -3.4815690768846828e+06 -3.8074319005519408e+06 8.7924288819314272e+04 +1.8232262305946170e-02 4.1820251725684655e+04 1.9591379342549740e+05 4.6001110094986635e+05 8.0213215192671586e+05 1.1352256600044759e+06 1.3282242495745344e+06 1.3221118726918327e+06 1.2135909674705933e+06 1.1016468642774469e+06 1.0061335910170631e+06 9.1500821533464722e+05 8.2658560501984728e+05 7.4328932767502661e+05 6.6594783351029886e+05 5.9432753284807014e+05 5.2885819969466049e+05 4.6983330382226268e+05 4.1684750921972282e+05 3.6932179158144223e+05 3.2670828559882368e+05 2.8852820854799624e+05 2.5470150180292947e+05 2.2819388976237565e+05 2.1511823883672981e+05 2.0426189646095454e+05 1.8422568943520603e+05 1.6165084121130453e+05 1.4075851127420817e+05 1.2202407811991153e+05 1.0528090395188802e+05 9.0324909178472168e+04 7.6967654182380400e+04 6.5038316277662394e+04 5.4382005978490073e+04 4.4857923965394708e+04 3.6337614088511924e+04 2.8703351907432050e+04 2.1846640243640966e+04 1.5666802341036777e+04 1.0069642999637852e+04 4.6034104524316399e+03 -3.9815927606806713e+02 -5.0369499684357743e+03 -9.4132047218256175e+03 -1.3627512277137655e+04 -1.7783065003978863e+04 -2.1988371253601177e+04 -2.6360689575649456e+04 -3.1030606119066721e+04 -3.6148136439199399e+04 -4.1892579898470562e+04 -4.8482128237121768e+04 -5.6191633644166955e+04 -6.5385358275014914e+04 -7.6549472425468106e+04 -9.0356821045288540e+04 -1.0775967956383040e+05 -1.3014133175402725e+05 -1.5955375632546822e+05 -1.9908114580516214e+05 -2.5335895434762965e+05 -3.2916119641271414e+05 -4.3575948432369530e+05 -5.8441073086005705e+05 -7.8627497202061221e+05 -1.0486124900163002e+06 -1.3703513987099170e+06 -1.7391949420575516e+06 -2.1320727966063782e+06 -2.5196026173030427e+06 -2.8727911822827631e+06 -3.1694190839229524e+06 -3.3980535444847308e+06 -3.5588639204284097e+06 -3.6607410527471513e+06 -3.7176673291776264e+06 -3.7443625669502006e+06 -3.7533053211334455e+06 -3.7532433373946003e+06 -3.7506145971315051e+06 -3.7469916696306760e+06 -3.7428744037076104e+06 -3.7383967489383658e+06 -3.7337241339439554e+06 -3.7287929326420571e+06 -3.7236077453840394e+06 -3.7179600224041915e+06 -3.7119149677695255e+06 -3.7053613035882399e+06 -3.6982120374051128e+06 -3.6903614538871781e+06 -3.6816904714341667e+06 -3.6720625442446927e+06 -3.6613274000950819e+06 -3.6493201609267900e+06 -3.6358567925601993e+06 -3.6207418012004299e+06 -3.6037647845956245e+06 -3.5847087542669261e+06 -3.5633560835909839e+06 -3.5394993631344372e+06 -3.5130077301896345e+06 -3.4836472763641668e+06 -3.4514210216428712e+06 -3.4164035193443275e+06 -3.3788694373575351e+06 -3.3392861737327692e+06 -3.2985434588671443e+06 -3.2579958864369844e+06 -3.2196620758876698e+06 -3.1864777624305338e+06 -3.1626232314151367e+06 -3.1540765710475245e+06 -3.1694237716677967e+06 -3.2212593882968319e+06 -3.3286628210906722e+06 -3.5218568487817892e+06 -3.8514904126773099e+06 8.9006439958972012e+04 +1.8344632081530025e-02 4.1169159598482773e+04 1.9509309076743445e+05 4.5890107739832893e+05 8.0064743415325251e+05 1.1333768831790753e+06 1.3261674453772295e+06 1.3200674706931473e+06 1.2116716330540432e+06 1.0998562192772613e+06 1.0044536810656214e+06 9.1343403711834445e+05 8.2511374303928704e+05 7.4191359585129551e+05 6.6466107107850770e+05 5.9312275592226989e+05 5.2772797005773254e+05 4.6876993958419457e+05 4.1584382916023146e+05 3.6837129001484881e+05 3.2580509308494639e+05 2.8766701777951088e+05 2.5387722954536453e+05 2.2739930834679844e+05 2.1434195403437960e+05 2.0350212714283052e+05 1.8348902285059571e+05 1.6093795232444289e+05 1.4006670214135596e+05 1.2135036528172885e+05 1.0462251096704174e+05 8.9679275536667454e+04 7.6332403037131109e+04 6.4411220176139890e+04 5.3760953050218908e+04 4.4240884196273320e+04 3.5722605286848710e+04 2.8088404646703271e+04 2.1229761227966923e+04 1.5045935309764272e+04 9.4426264462209147e+03 3.9672026455882883e+03 -1.0464862740389751e+03 -5.7006608908654534e+03 -1.0095995858347578e+04 -1.4333625175063933e+04 -1.8517425689761851e+04 -2.2756764255961501e+04 -2.7169979873994151e+04 -3.1889028836228325e+04 -3.7065677277868395e+04 -4.2881507915287140e+04 -4.9557682473231129e+04 -5.7372987130674926e+04 -6.6697075264634521e+04 -7.8023470024965965e+04 -9.2035328174241120e+04 -1.0969958335404313e+05 -1.3242077706722004e+05 -1.6228213030683465e+05 -2.0241385465155737e+05 -2.5751797937922497e+05 -3.3445968578483240e+05 -4.4262299841509154e+05 -5.9338015304722986e+05 -7.9797367463513347e+05 -1.0636698397580236e+06 -1.3892955268407515e+06 -1.7623473323986689e+06 -2.1594782208676832e+06 -2.5510176049370142e+06 -2.9077290922225709e+06 -3.2072340318941041e+06 -3.4380411231079353e+06 -3.6003570758784385e+06 -3.7031761786573920e+06 -3.7606210820964081e+06 -3.7875523283370021e+06 -3.7965656756167603e+06 -3.7964904249365535e+06 -3.7938280379853225e+06 -3.7901620307065188e+06 -3.7859968540369608e+06 -3.7814674634303856e+06 -3.7767409744371115e+06 -3.7717529515969036e+06 -3.7665080200274666e+06 -3.7607952284195418e+06 -3.7546805277573648e+06 -3.7480513576441002e+06 -3.7408197234874857e+06 -3.7328786920515015e+06 -3.7241078096292396e+06 -3.7143689581612879e+06 -3.7035101292867376e+06 -3.6913645524056167e+06 -3.6777460700640734e+06 -3.6624569359356100e+06 -3.6452843238438875e+06 -3.6260087454233887e+06 -3.6044100666108215e+06 -3.5802784892639369e+06 -3.5534816383739524e+06 -3.5237829174516900e+06 -3.4911853784263004e+06 -3.4557644333570725e+06 -3.4177979148101639e+06 -3.3777586058748695e+06 -3.3365464875292550e+06 -3.2955317607951919e+06 -3.2567562976104305e+06 -3.2231896625166950e+06 -3.1990602999059199e+06 -3.1904151729145683e+06 -3.2059391911161058e+06 -3.2583720123007460e+06 -3.3670128529386981e+06 -3.5624326875783112e+06 -3.8958639523852514e+06 9.0101878758407125e+04 +1.8457694418807701e-02 4.0511316996321613e+04 1.9426585627705834e+05 4.5778489875099517e+05 7.9915704031441221e+05 1.1315228335436753e+06 1.3241055088865715e+06 1.3180177897361394e+06 1.2097467178855308e+06 1.0980597106714910e+06 1.0027676502772743e+06 9.1185350040378037e+05 8.2363530170641339e+05 7.4053108823632635e+05 6.6336735864083888e+05 5.9191087824712030e+05 5.2659051066051447e+05 4.6769923656951648e+05 4.1483271891942434e+05 3.6741328206608503e+05 3.2489433135130937e+05 2.8679820631448872e+05 2.5304529383662710e+05 2.2659701681653876e+05 2.1355787857272651e+05 2.0273447381605429e+05 1.8274441068966838e+05 1.6021707802598097e+05 1.3936687628992560e+05 1.2066860889399132e+05 1.0395605005298066e+05 8.9025550238678508e+04 7.5689035372676342e+04 6.3775979735246714e+04 5.3131723115885259e+04 4.3615627914691519e+04 3.5099331493113728e+04 2.7465132623654594e+04 2.0604483840178793e+04 1.4416579621112309e+04 8.8070110886405801e+03 3.3222514110294660e+03 -1.7037335816430088e+03 -6.3735072605728874e+03 -1.0788182880434779e+04 -1.5049448047450082e+04 -1.9261874081703896e+04 -2.3535698423956543e+04 -2.7990355312909680e+04 -3.2759189529921139e+04 -3.7995740829265444e+04 -4.3883904945305214e+04 -5.0647851853886823e+04 -5.8570352207953256e+04 -6.8026519743243771e+04 -7.9517324917161430e+04 -9.3736368941913446e+04 -1.1166543171291496e+05 -1.3473058239219390e+05 -1.6504667165732311e+05 -2.0579047442314049e+05 -2.6173131642344000e+05 -3.3982638863986154e+05 -4.4957289290383481e+05 -6.0245871500716463e+05 -8.0980836919768923e+05 -1.0788926388885328e+06 -1.4084349521199914e+06 -1.7857229329513547e+06 -2.1871310299714045e+06 -2.5826995039547365e+06 -2.9429487416636827e+06 -3.2453413601213070e+06 -3.4783282946940074e+06 -3.6421543979368689e+06 -3.7459180982877114e+06 -3.8038829130335124e+06 -3.8310505941092931e+06 -3.8401344688283410e+06 -3.8400456367812310e+06 -3.8373493046188448e+06 -3.8336398872594414e+06 -3.8294264502823958e+06 -3.8248449527540109e+06 -3.8200642053485513e+06 -3.8150189561269251e+06 -3.8097138545834762e+06 -3.8039355308879344e+06 -3.7977506881417604e+06 -3.7910454743091767e+06 -3.7837308855072097e+06 -3.7756987619347498e+06 -3.7668272680006614e+06 -3.7569767022207761e+06 -3.7459933075628104e+06 -3.7337084076461806e+06 -3.7199337065213211e+06 -3.7044691892768978e+06 -3.6870995885487623e+06 -3.6676028982857727e+06 -3.6457564591177250e+06 -3.6213480672228113e+06 -3.5942438243436692e+06 -3.5642044269928588e+06 -3.5312329591562701e+06 -3.4954056977682305e+06 -3.4570036626011813e+06 -3.4165050601419946e+06 -3.3748201949614179e+06 -3.3333349866187372e+06 -3.2941147250080188e+06 -3.2601630451779012e+06 -3.2357568934688275e+06 -3.2270125985535807e+06 -3.2427146937362948e+06 -3.2957489730722429e+06 -3.4056360350221433e+06 -3.6032975299637220e+06 -3.9405535440259646e+06 9.1210767795211461e+04 +1.8571453586201884e-02 3.9846638093722926e+04 1.9343200576298349e+05 4.5666247532406647e+05 7.9766086305446643e+05 1.1296634104726962e+06 1.3220383599114276e+06 1.3159627460367498e+06 1.2078161471730433e+06 1.0962572604051428e+06 1.0010754231644528e+06 9.1026653016405774e+05 8.2215020832325285e+05 7.3914173289634113e+05 6.6206662543188373e+05 5.9069182967025903e+05 5.2544575177028996e+05 4.6662112537402497e+05 4.1381410924098606e+05 3.6644769851294352e+05 3.2397593111524353e+05 2.8592170469476510e+05 2.5220562498180298e+05 2.2578694540848935e+05 2.1276594331952263e+05 2.0195886812505071e+05 1.8199178467017948e+05 1.5948814967967468e+05 1.3865896456496193e+05 1.1997873917300068e+05 1.0328145069767140e+05 8.8363661948783396e+04 7.5037478934623898e+04 6.3132521685441956e+04 5.2494241789590669e+04 4.2982079509578602e+04 3.4467715750807183e+04 2.6833457401180880e+04 1.9970728008154780e+04 1.3778653389357063e+04 8.1627130193871617e+03 2.6684703955564337e+03 -2.3699903341809836e+03 -7.0555813976091804e+03 -1.1489861776186868e+04 -1.5775081131955891e+04 -2.0016515368922483e+04 -2.4325284747866386e+04 -2.8821933716825857e+04 -3.3641214121139339e+04 -3.8938462661832200e+04 -4.4899918124871147e+04 -5.1752797474365696e+04 -5.9783906930560814e+04 -6.9373890541829067e+04 -8.1031261621130005e+04 -9.5460199979657016e+04 -1.1365752191938562e+05 -1.3707109714129218e+05 -1.6784779742011128e+05 -2.0921151033216473e+05 -2.6599958467655233e+05 -3.4526206722848729e+05 -4.5661009963624104e+05 -6.1164753274168749e+05 -8.2178034869473753e+05 -1.0942823239328796e+06 -1.4277711994139194e+06 -1.8093232924952512e+06 -2.2150327378338375e+06 -2.6146497518265261e+06 -2.9784514719214831e+06 -3.2837423139115949e+06 -3.5189162224045917e+06 -3.6842569877396100e+06 -3.7889678708956512e+06 -3.8474538558616517e+06 -3.8748583841717052e+06 -3.8840127135163145e+06 -3.8839099819567543e+06 -3.8811794043657663e+06 -3.8774262452652156e+06 -3.8731641971647241e+06 -3.8685302203876856e+06 -3.8636948288839571e+06 -3.8585919471163745e+06 -3.8532262485368457e+06 -3.8473819277871395e+06 -3.8411264452770208e+06 -3.8343446481717713e+06 -3.8269465161375175e+06 -3.8188226541025280e+06 -3.8098498347843862e+06 -3.7998867620725296e+06 -3.7887779176901383e+06 -3.7763527061961852e+06 -3.7624206778606493e+06 -3.7467795330941835e+06 -3.7292115460311803e+06 -3.7094921750560389e+06 -3.6873962175896508e+06 -3.6627090470755943e+06 -3.6352952310562758e+06 -3.6049127400577124e+06 -3.5715646902626390e+06 -3.5353282296066694e+06 -3.4964875876845429e+06 -3.4555264328617775e+06 -3.4133654665509169e+06 -3.3714064384081401e+06 -3.3317382222996675e+06 -3.2973987657200517e+06 -3.2727138610099056e+06 -3.2638696945756818e+06 -3.2797511302555469e+06 -3.3333911352542257e+06 -3.4445332608088604e+06 -3.6444523212694214e+06 -3.9855602213940555e+06 9.2333271625335692e+04 +1.8685913878442571e-02 3.9175038032962984e+04 1.9259145242626674e+05 4.5553372522669623e+05 7.9615883545879135e+05 1.1277985589030718e+06 1.3199659262212873e+06 1.3139022507382119e+06 1.2058798403938659e+06 1.0944487898628896e+06 9.9937692329568730e+05 9.0867305036654894e+05 8.2065838912520639e+05 7.3774545658745256e+05 6.6075879942809604e+05 5.8946553873250098e+05 5.2429362239836855e+05 4.6553553533284558e+05 4.1278792959450535e+05 3.6547446886130853e+05 3.2304982181687839e+05 2.8503744218988006e+05 2.5135815201760406e+05 2.2496902309094608e+05 2.1196607786355499e+05 2.0117524042410724e+05 1.8123107521693344e+05 1.5875109735992114e+05 1.3794289652615233e+05 1.1928068505401460e+05 1.0259864111293932e+05 8.7693538059239232e+04 7.4377660200324215e+04 6.2480771492106018e+04 5.1848433422631744e+04 4.2340162107824159e+04 3.3827679840621349e+04 2.6193299276776193e+04 1.9328412389426514e+04 1.3132073450886808e+04 7.5096470424168519e+03 2.0057719419688212e+03 -3.0453469912276223e+03 -7.7469769721864277e+03 -1.2201129916268703e+04 -1.6510626088985449e+04 -2.0781456212280897e+04 -2.5125635749317327e+04 -2.9664834513937076e+04 -3.4535230222044695e+04 -3.9893980141046872e+04 -4.5929696516093609e+04 -5.2872682513315252e+04 -6.1013831630702378e+04 -7.0739389010487866e+04 -8.2565507477812673e+04 -9.7207081123793032e+04 -1.1567615494505643e+05 -1.3944267504392672e+05 -1.7068592975481079e+05 -2.1267747371781437e+05 -2.7032341069385625e+05 -3.5076749256721488e+05 -4.6373556066291104e+05 -6.2094773371157900e+05 -8.3389091840763763e+05 -1.1098403440101121e+06 -1.4473058059858801e+06 -1.8331499716797813e+06 -2.2431848696096223e+06 -2.6468697966752970e+06 -3.0142386345191239e+06 -3.3224381484679841e+06 -3.5598060790866688e+06 -3.7266659559855773e+06 -3.8323265652355705e+06 -3.8913349538894692e+06 -3.9189767278330442e+06 -3.9282014317940660e+06 -3.9280844788471232e+06 -3.9253193539061844e+06 -3.9215221200172547e+06 -3.9172111087307199e+06 -3.9125242791217705e+06 -3.9076338565543178e+06 -3.9024729347302434e+06 -3.8970462106548455e+06 -3.8911354263443216e+06 -3.8848088047609865e+06 -3.8779498830533791e+06 -3.8704676172644324e+06 -3.8622513683124338e+06 -3.8531765073916297e+06 -3.8431001325198119e+06 -3.8318649515695148e+06 -3.8192984366984912e+06 -3.8052079690785725e+06 -3.7893889482900463e+06 -3.7716211725867493e+06 -3.7516775468743532e+06 -3.7293303073712368e+06 -3.7043623877118765e+06 -3.6766368102221000e+06 -3.6459088004072080e+06 -3.6121815067701079e+06 -3.5755329544032644e+06 -3.5362506054227012e+06 -3.4948236286724810e+06 -3.4521831959072105e+06 -3.4097469987901072e+06 -3.3696276617212375e+06 -3.3348976873890320e+06 -3.3099320593161625e+06 -3.3009873154490204e+06 -3.3170493593050656e+06 -3.3712993715183195e+06 -3.4837054320668601e+06 -3.6858980156021360e+06 -4.0308850278884536e+06 9.3469556806956054e+04 +1.8801079616729204e-02 3.8496429101625916e+04 1.9174410905631550e+05 4.5439857051020575e+05 7.9465086527762318e+05 1.1259281709258624e+06 1.3178881119623363e+06 1.3118362241073695e+06 1.2039377142848878e+06 1.0926342185455959e+06 9.9767207250212005e+05 9.0707298523620015e+05 8.1915976883397426e+05 7.3634218502452364e+05 6.5944380730403529e+05 5.8823193264629354e+05 5.2313405029158527e+05 4.6444239450931246e+05 4.1175410816621128e+05 3.6449352133538836e+05 3.2211593160847435e+05 2.8414534678778279e+05 2.5050280270212432e+05 2.2414317755314999e+05 2.1115821050442063e+05 2.0038351976729173e+05 1.8046221145266280e+05 1.5800584984103654e+05 1.3721860043638261e+05 1.1857437418048461e+05 1.0190754822266725e+05 8.7015104678481774e+04 7.3709504367076501e+04 6.1820653343454658e+04 5.1194221090959385e+04 4.1689797561592670e+04 3.3179144267610151e+04 2.5544577269310750e+04 1.8677454357659924e+04 1.2476755350248532e+04 6.8477266587638860e+03 1.3340670742004606e+03 -3.7298953520424711e+03 -8.4477890207080163e+03 -1.2922086070696549e+04 -1.7256186019096283e+04 -2.1556804762766511e+04 -2.5936865500869018e+04 -3.0519178756762383e+04 -3.5441367157953297e+04 -4.0862432453135501e+04 -4.6973391132517347e+04 -5.4007672260583182e+04 -6.2260308948691585e+04 -7.2123219052091270e+04 -8.4120292687706344e+04 -9.8977275457986630e+04 -1.1772163550266884e+05 -1.4184567420287346e+05 -1.7356149600341465e+05 -2.1618888212238843e+05 -2.7470342847946187e+05 -3.5634344454000099e+05 -4.7095022835214454e+05 -6.3036045695010235e+05 -8.4614139602932869e+05 -1.1255681609450798e+06 -1.4670403216011869e+06 -1.8572045431355466e+06 -2.2715889617962884e+06 -2.6793610973941842e+06 -3.0503115913015739e+06 -3.3614301290037762e+06 -3.6009990474089663e+06 -3.7693824230659609e+06 -3.8759952596721672e+06 -3.9355272599894749e+06 -3.9634066639439557e+06 -3.9727016553047136e+06 -3.9725701553400527e+06 -3.9697701794091621e+06 -3.9659285362989455e+06 -3.9615682084920816e+06 -3.9568281511977655e+06 -3.9518823093154123e+06 -3.9466629385801828e+06 -3.9411747591234953e+06 -3.9351970432102731e+06 -3.9287987815824309e+06 -3.9218621921530175e+06 -3.9142952001282605e+06 -3.9059859136608145e+06 -3.8968082925444269e+06 -3.8866178176551419e+06 -3.8752554103463241e+06 -3.8625465970204719e+06 -3.8482965743615450e+06 -3.8322984249180309e+06 -3.8143294536288190e+06 -3.7941599939379031e+06 -3.7715597028340530e+06 -3.7463090569707244e+06 -3.7182695224381010e+06 -3.6871935606030454e+06 -3.6530843524300754e+06 -3.6160208063403182e+06 -3.5762936397343143e+06 -3.5343975606795214e+06 -3.4912742849833961e+06 -3.4483575586279333e+06 -3.4077839236520189e+06 -3.3726606814941489e+06 -3.3474123531723120e+06 -3.3383663236242295e+06 -3.3546102475280175e+06 -3.4094745626821076e+06 -3.5231534589834968e+06 -3.7276355759768188e+06 -4.0765290166440997e+06 9.4619791924635414e+04 +1.8916955148893803e-02 3.7810723652718974e+04 1.9088988976148536e+05 4.5325690798739612e+05 7.9313686180320010e+05 1.1240521633898926e+06 1.3158048406386005e+06 1.3097645921268852e+06 1.2019896855429299e+06 1.0908134680705129e+06 9.9596079129242455e+05 9.0546625787550129e+05 8.1765427082755184e+05 7.3493184293973679e+05 6.5812157439686218e+05 5.8699093729953992e+05 5.2196696192390565e+05 4.6334162967845768e+05 4.1071257184865046e+05 3.6350478286806704e+05 3.2117418734557426e+05 2.8324534518323973e+05 2.4963950350302641e+05 2.2330933519438922e+05 2.1034226824277901e+05 1.9958363389796950e+05 1.7968512118625708e+05 1.5725233458596384e+05 1.3648600325167758e+05 1.1785973289200876e+05 1.0120809765150276e+05 8.6328286619690261e+04 7.3032935340314987e+04 6.1152090138532316e+04 5.0531526582911654e+04 4.1030906435761695e+04 3.2522028248120634e+04 2.4887209105617883e+04 1.8017769988880962e+04 1.1812613326027014e+04 6.1768640520158933e+03 6.5326548230076446e+02 -4.4237285711392469e+03 -9.1581139619481019e+03 -1.3652830425655746e+04 -1.8011865480745128e+04 -2.2342670680165811e+04 -2.6759089645569456e+04 -3.1385089143076242e+04 -3.6359755989781508e+04 -4.1843960629089961e+04 -4.8031154965144895e+04 -5.5157934145765983e+04 -6.3523523864045994e+04 -7.3525587156799898e+04 -8.5695850349276152e+04 -1.0077104935670680e+05 -1.1979427209576315e+05 -1.4428045715111608e+05 -1.7647492875612411e+05 -2.1974625936971235e+05 -2.7914027957581717e+05 -3.6199071199980611e+05 -4.7825506550015206e+05 -6.3988685318144714e+05 -8.5853311178120424e+05 -1.1414672493850342e+06 -1.4869763086378477e+06 -1.8814885915742924e+06 -2.3002465623422395e+06 -2.7121251237510890e+06 -3.0866717145589706e+06 -3.4007195308779962e+06 -3.6424963199966615e+06 -3.8124075192113589e+06 -3.9199750423306781e+06 -3.9800318367499174e+06 -4.0081492410284141e+06 -4.0175144253413267e+06 -4.0173680489662308e+06 -4.0145329166734535e+06 -4.0106465285115484e+06 -4.0062365295703467e+06 -4.0014428684589188e+06 -3.9964412177086556e+06 -3.9911629878418241e+06 -3.9856129216884412e+06 -3.9795678045636704e+06 -3.9730974002523837e+06 -3.9660825981737967e+06 -3.9584302854624665e+06 -3.9500273087112191e+06 -3.9407462064186875e+06 -3.9304408309923117e+06 -3.9189503045795173e+06 -3.9060981944015878e+06 -3.8916874972308101e+06 -3.8755089623293686e+06 -3.8573373838221733e+06 -3.8369405056555774e+06 -3.8140853874841402e+06 -3.7885500317829372e+06 -3.7601943373120022e+06 -3.7287679821574460e+06 -3.6942741798582100e+06 -3.6567927283695154e+06 -3.6166176232096050e+06 -3.5742491505342131e+06 -3.5306396441960493e+06 -3.4872390171536896e+06 -3.4462078967389027e+06 -3.4106886275237743e+06 -3.3851556154810870e+06 -3.3760075896463967e+06 -3.3924346697095758e+06 -3.4479175978377904e+06 -3.5628782602912905e+06 -3.7696659744470357e+06 -4.1224932506857784e+06 9.5784147613766050e+04 +1.9033544849565112e-02 3.7117832384724614e+04 1.9002870384650657e+05 4.5210865887786064e+05 7.9161674167081318e+05 1.1221704500088829e+06 1.3137160223149885e+06 1.3076872510177661e+06 1.2000356695894704e+06 1.0889864573229929e+06 9.9424299923678220e+05 9.0385278872182500e+05 8.1614181754970225e+05 7.3351435388268321e+05 6.5679202469106717e+05 5.8574247729457414e+05 5.2079228247954958e+05 4.6223316630022321e+05 4.0966324623018515e+05 3.6250817908852559e+05 3.2022451457580779e+05 2.8233736276868090e+05 2.4876817958850408e+05 2.2246742111456490e+05 2.0951817676890051e+05 1.9877550923766551e+05 1.7889973090281352e+05 1.5649047773596316e+05 1.3574503060904829e+05 1.1713668621394401e+05 1.0050021371348115e+05 8.5633007388894504e+04 7.2347875721410033e+04 6.0475003474655830e+04 4.9860270386521152e+04 4.0363407994964196e+04 3.1856249696608553e+04 2.4221111207003509e+04 1.7349274047592313e+04 1.1139560296565165e+04 5.4969700736164623e+03 -3.6724492741546378e+01 -5.1269411740037758e+03 -9.8780496133662873e+03 -1.4393464600571331e+04 -1.8777770508044476e+04 -2.3139165151799989e+04 -2.7592425416891125e+04 -3.2262690036918160e+04 -3.7290529536359310e+04 -4.2838707568769714e+04 -4.9103143008623432e+04 -5.6323637766424719e+04 -6.4803663726768180e+04 -7.4946702436452091e+04 -8.7292416497599115e+04 -1.0258867252809633e+05 -1.2189437706754265e+05 -1.4674739090927650e+05 -1.7942666591883230e+05 -2.2335013564260583e+05 -2.8363461315580789e+05 -3.6771009287297714e+05 -4.8565104544454720e+05 -6.4952808493709937e+05 -8.7106740852758649e+05 -1.1575390969065183e+06 -1.5071153421939784e+06 -1.9060037138978585e+06 -2.3291592307560593e+06 -2.7451633565034885e+06 -3.1233203871324090e+06 -3.4403076397166345e+06 -3.6842990995390043e+06 -3.8557423845986775e+06 -3.9642670112246843e+06 -4.0248497566101220e+06 -4.0532055174319255e+06 -4.0626407929963204e+06 -4.0624792070311848e+06 -4.0596086112622442e+06 -4.0556771408065301e+06 -4.0512171148300273e+06 -4.0463694724800829e+06 -4.0413116219951794e+06 -4.0359741213993183e+06 -4.0303617357805851e+06 -4.0242487462660903e+06 -4.0177056949549671e+06 -4.0106121334752664e+06 -4.0028739036298776e+06 -3.9943765816413402e+06 -3.9849912747729314e+06 -3.9745701956118047e+06 -3.9629506543457182e+06 -3.9499542455782900e+06 -3.9353817506739534e+06 -3.9190215692987135e+06 -3.9006459672129662e+06 -3.8800200807597670e+06 -3.8569083541101054e+06 -3.8310862982846689e+06 -3.8024122336047273e+06 -3.7706330356491087e+06 -3.7357519506543288e+06 -3.6978496723321755e+06 -3.6572234972356809e+06 -3.6143793285999941e+06 -3.5702801925528827e+06 -3.5263922820693883e+06 -3.4849004780114540e+06 -3.4489824132567071e+06 -3.4231627273771139e+06 -3.4139119922702638e+06 -3.4305235088760140e+06 -3.4866293744543646e+06 -3.6028807633831576e+06 -3.8119901922388156e+06 -4.1687788030649801e+06 9.6962796585303528e+04 +1.9150853120333756e-02 3.6417665164158578e+04 1.8916046133753724e+05 4.5095372641742241e+05 7.9009040640676545e+05 1.1202829308646009e+06 1.3116215603528344e+06 1.3056041189771229e+06 1.1980755843880710e+06 1.0871530999748551e+06 9.9251861428796023e+05 9.0223249703458673e+05 8.1462233027598623e+05 7.3208963991220132e+05 6.5545508083308581e+05 5.8448647600069968e+05 5.1960993582976912e+05 4.6111692850387155e+05 4.0860605558421667e+05 3.6150363430837501e+05 3.1926683752925758e+05 2.8142132362127153e+05 2.4788875481516117e+05 2.2161735910178305e+05 2.0868586045223114e+05 1.9795907087573086e+05 1.7810596575181209e+05 1.5572020409927992e+05 1.3499560681617894e+05 1.1640515784552107e+05 9.9783819400096996e+04 8.4929189173015620e+04 7.1654246795601459e+04 5.9789313635175786e+04 4.9180371676930074e+04 3.9687220190380991e+04 3.1181725212184425e+04 2.3546198675558011e+04 1.6671879972765699e+04 1.0457507845586499e+04 4.8079542280480446e+03 -7.3599587432650856e+02 -5.8396290729709317e+03 -1.0607695207646237e+04 -1.5144091665302947e+04 -1.9554008628881733e+04 -2.3946400911371544e+04 -2.8436991658558934e+04 -3.3152107489945090e+04 -3.8233822397381802e+04 -4.3846818065491389e+04 -5.0189512287551996e+04 -5.7504954916931325e+04 -6.6100918288852758e+04 -7.6386776659403273e+04 -8.8910230142789282e+04 -1.0443041805861639e+05 -1.2402226665180511e+05 -1.4924684704380273e+05 -1.8241715078053472e+05 -2.2700104756355812e+05 -2.8818708611292887e+05 -3.7350239426194614e+05 -4.9313915217752493e+05 -6.5928532667531725e+05 -8.8374564189632866e+05 -1.1737852041343863e+06 -1.5274590101952874e+06 -1.9307515193021779e+06 -2.3583285382102681e+06 -2.7784772875164407e+06 -3.1602590025402876e+06 -3.4801957515313607e+06 -3.7264085989456382e+06 -3.8993881695230631e+06 -4.0088722743950728e+06 -4.0699821019833703e+06 -4.0985765614616931e+06 -4.1080818192993766e+06 -4.1079046867568246e+06 -4.1049983186474429e+06 -4.1010214272273025e+06 -4.0965110170237697e+06 -4.0916090147015462e+06 -4.0864945722875441e+06 -4.0810973879791112e+06 -4.0754222486662124e+06 -4.0692409139967170e+06 -4.0626247096670740e+06 -4.0554518401842946e+06 -4.0476270947518749e+06 -4.0390347703641388e+06 -4.0295445330807772e+06 -4.0190069442823697e+06 -4.0072574894001838e+06 -3.9941157769211372e+06 -3.9793803572757021e+06 -3.9628372641593609e+06 -3.9442562173607177e+06 -3.9233997274537808e+06 -3.9000296049027722e+06 -3.8739188519646903e+06 -3.8449241993481023e+06 -3.8127897008491419e+06 -3.7775186355278939e+06 -3.7391925990858590e+06 -3.6981122121149907e+06 -3.6547890340496898e+06 -3.6101968577645440e+06 -3.5658182696912135e+06 -3.5238625729943295e+06 -3.4875429348900262e+06 -3.4614345783447940e+06 -3.4520804185743663e+06 -3.4688776564283464e+06 -3.5256107985065635e+06 -3.6431619044462242e+06 -3.8546092198684965e+06 -4.2153867569941115e+06 9.8155913650796763e+04 +1.9268884389918410e-02 3.5710130763317939e+04 1.8828506974368557e+05 4.4979202072971262e+05 7.8855776896975155e+05 1.1183895334365922e+06 1.3095213699597649e+06 1.3035151222079785e+06 1.1961093492606026e+06 1.0853133101208017e+06 9.9078755361635645e+05 9.0060530147261184e+05 8.1309572857418878e+05 7.3065762147533800e+05 6.5411066417010548e+05 5.8322285556817218e+05 5.1841984450405918e+05 4.5999283907236200e+05 4.0754092285519483e+05 3.6049107151130307e+05 3.1830107910906716e+05 2.8049715049315954e+05 2.4700115171704942e+05 2.2075907162245506e+05 2.0784524233060371e+05 1.9713424255787404e+05 1.7730374953671085e+05 1.5494143713925165e+05 1.3423765483889627e+05 1.1566507014772856e+05 9.9058836368220131e+04 8.4216752827763266e+04 7.0951968519585615e+04 5.9094939576704339e+04 4.8491748303153174e+04 3.9002259646814717e+04 3.0498370065173727e+04 2.2862385280238566e+04 1.5985499863593028e+04 9.7663662075519223e+03 4.1097246578194763e+03 -1.4446430657332594e+03 -6.5618895832600447e+03 -1.1347151409307735e+04 -1.5904816157494430e+04 -2.0340688882989485e+04 -2.4764492258225026e+04 -2.9292908844951606e+04 -3.4053469262864011e+04 -3.9189770976110747e+04 -4.4868438830520019e+04 -5.1290421883320072e+04 -5.8702059617689862e+04 -6.7415479736058318e+04 -7.7846024285979976e+04 -9.0549533310130224e+04 -1.0629656245704323e+05 -1.2617826102343507e+05 -1.5177920172510040e+05 -1.8544683208187378e+05 -2.3069953827294210e+05 -2.9279836315642897e+05 -3.7936843255168782e+05 -5.0072038046080375e+05 -6.6915976489763916e+05 -8.9656918039283669e+05 -1.1902070848494114e+06 -1.5480089135052427e+06 -1.9557336293849265e+06 -2.3877560676489994e+06 -2.8120684198557432e+06 -3.1974889650909384e+06 -3.5203851728346776e+06 -3.7688260414488581e+06 -3.9433460344814919e+06 -4.0537919500432960e+06 -4.1154299653990050e+06 -4.1442634514905927e+06 -4.1538385753396177e+06 -4.1536455554139451e+06 -4.1507031043387051e+06 -4.1466804518548278e+06 -4.1421192988979216e+06 -4.1371625565598235e+06 -4.1319911286852541e+06 -4.1265338462779289e+06 -4.1207955175741352e+06 -4.1145453633775972e+06 -4.1078554982865299e+06 -4.1006027703508716e+06 -4.0926909088461148e+06 -4.0840029226696747e+06 -4.0744070266709514e+06 -4.0637521195951183e+06 -4.0518718492757911e+06 -4.0385838245647652e+06 -4.0236843493490899e+06 -4.0069570749321938e+06 -3.9881691574627962e+06 -3.9670804635240394e+06 -3.9434501515905913e+06 -3.9170486977735260e+06 -3.8877312319700029e+06 -3.8552389668488116e+06 -3.8195752144223098e+06 -3.7808224786359030e+06 -3.7392847271880112e+06 -3.6954792149853143e+06 -3.6503905763687212e+06 -3.6055179050424169e+06 -3.5630950958251529e+06 -3.5263710971364258e+06 -3.4999720663314098e+06 -3.4905137640808956e+06 -3.5074980122426697e+06 -3.5648627845914247e+06 -3.6837226285640788e+06 -3.8975240572808618e+06 -4.2623182059959434e+06 9.9363675747714035e+04 +1.9387643114333001e-02 3.4995136282017855e+04 1.8740243801016817e+05 4.4862344747241685e+05 7.8701873814738181e+05 1.1164901565682190e+06 1.3074153594966289e+06 1.3014201609718408e+06 1.1941368642523217e+06 1.0834670033467310e+06 9.8904973314027989e+05 8.9897111901660659e+05 8.1156193041340692e+05 7.2921821758608660e+05 6.5275869478981639e+05 5.8195153687806858e+05 5.1722192966955062e+05 4.5886081943534024e+05 4.0646776964715321e+05 3.5947041233781830e+05 3.1732716088191082e+05 2.7956476479913486e+05 2.4610529149385515e+05 2.1989247980910234e+05 2.0699624409789775e+05 1.9630094667491299e+05 1.7649300470302833e+05 1.5415409896322974e+05 1.3347109628999763e+05 1.1491634413198511e+05 9.8325184928413670e+04 8.3495617865026099e+04 7.0240959508726650e+04 5.8391798916126863e+04 4.7794316775225714e+04 3.8308441649015564e+04 2.9806098183473940e+04 2.2169583442942567e+04 1.5290044465145467e+04 9.0660442529461106e+03 3.4021881283144912e+03 -2.1627618657776397e+03 -7.2938214392109821e+03 -1.2096520331596974e+04 -1.6675744100150598e+04 -2.1137921840352097e+04 -2.5593555076490244e+04 -3.0160299101307512e+04 -3.4966904846894089e+04 -4.0158513502654852e+04 -4.5903718518064175e+04 -5.2406032960883866e+04 -5.9915128144271286e+04 -6.8747542720498401e+04 -7.9324662504051710e+04 -9.2210571079192290e+04 -1.0818738569959026e+05 -1.2836268434959886e+05 -1.5434483578750322e+05 -1.8851616408416492e+05 -2.3444615751171310e+05 -2.9746911690274673e+05 -3.8530903351481550e+05 -5.0839573594009620e+05 -6.7915259827044723e+05 -9.0953940552325791e+05 -1.2068062661076307e+06 -1.5687666660296060e+06 -1.9809516782523221e+06 -2.4174434138932531e+06 -2.8459382679112339e+06 -3.2350116899933359e+06 -3.5608772207678389e+06 -3.8115526607376873e+06 -3.9876171503360067e+06 -4.0990271666558110e+06 -4.1611944496399537e+06 -4.1902672761282264e+06 -4.1999121424000897e+06 -4.1997028904483914e+06 -4.1967240439992538e+06 -4.1926552889085305e+06 -4.1880430333614019e+06 -4.1830311696347492e+06 -4.1778023614174798e+06 -4.1722845651047686e+06 -4.1664826098242444e+06 -4.1601631601078357e+06 -4.1533991247926746e+06 -4.1460659860607414e+06 -4.1380664059518361e+06 -4.1292820963439317e+06 -4.1195798108421043e+06 -4.1088067740938100e+06 -4.0967947834493048e+06 -4.0833594345343816e+06 -4.0682947690531109e+06 -4.0513820394485327e+06 -4.0323858204859802e+06 -4.0110633164716177e+06 -3.9871710155561781e+06 -3.9604768502543746e+06 -3.9308343384203818e+06 -3.8979818321839618e+06 -3.8619226766317338e+06 -3.8227402902372223e+06 -3.7807420109619177e+06 -3.7364508285585893e+06 -3.6908622938424037e+06 -3.6454921219768436e+06 -3.6025989693721966e+06 -3.5654678133546226e+06 -3.5387760978497174e+06 -3.5292129328579688e+06 -3.5463854847855121e+06 -3.6043862560292752e+06 -3.7245638898488577e+06 -3.9407357139605489e+06 -4.3095742540331660e+06 1.0058626196507263e+05 +1.9507133777054927e-02 3.4272588598845017e+04 1.8651247103895576e+05 4.4744791936031653e+05 7.8547320835802087e+05 1.1145847035094649e+06 1.3053034459808557e+06 1.2993191355315009e+06 1.1921580493544450e+06 1.0816140959719538e+06 9.8730506717456167e+05 8.9732986506881029e+05 8.1002085245859274e+05 7.2777134608470404e+05 6.5139909152842232e+05 5.8067243944847281e+05 5.1601611112147325e+05 4.5772078966723196e+05 4.0538651620945113e+05 3.5844157707501185e+05 3.1634500306483143e+05 2.7862408660650556e+05 2.4520109399945143e+05 2.1901750344925944e+05 2.0613878609386220e+05 1.9545910425100804e+05 1.7567365232723087e+05 1.5335811031123513e+05 1.3269585141771700e+05 1.1415889944759538e+05 9.7582784032094292e+04 8.2765702440739391e+04 6.9521137024607960e+04 5.7679807917921891e+04 4.7087992250883923e+04 3.7605680128304200e+04 2.9104822138543157e+04 2.1467704224254532e+04 1.4585423153816251e+04 8.3564494733724150e+03 2.6852500124504863e+03 -2.8904494846363873e+03 -8.0355248106172830e+03 -1.2855905553437902e+04 -1.7456983019315710e+04 -2.1945819619745718e+04 -2.6433706854693661e+04 -3.1039286224435920e+04 -3.5892545486001749e+04 -4.1140190057349922e+04 -4.6952807750346088e+04 -5.3536508796110342e+04 -6.1144339057218836e+04 -7.0097304392657694e+04 -8.0822911264911483e+04 -9.3893591624441047e+04 -1.1010317127501922e+05 -1.3057586484168484e+05 -1.5694413478892390e+05 -1.9162560663979274e+05 -2.3824146170190789e+05 -3.0220002797147236e+05 -3.9132503241908859e+05 -5.1616623526176508e+05 -6.8926503774338390e+05 -9.2265771190835082e+05 -1.2235842883489153e+06 -1.5897338948300788e+06 -2.0064073126167650e+06 -2.4473921837418471e+06 -2.8800883574928781e+06 -3.2728286034701308e+06 -3.6016732232179446e+06 -3.8545897010779167e+06 -4.0322026984176249e+06 -4.1445790631320495e+06 -4.2072766678545680e+06 -4.2365891343246950e+06 -4.2463036120994538e+06 -4.2460777796179438e+06 -4.2430622236052230e+06 -4.2389470229002070e+06 -4.2342833035915708e+06 -4.2292159357608994e+06 -4.2239293509577354e+06 -4.2183506235051854e+06 -4.2124846029500421e+06 -4.2060953800951447e+06 -4.1992566633319082e+06 -4.1918425595717784e+06 -4.1837546562536252e+06 -4.1748733593036830e+06 -4.1650639510066002e+06 -4.1541719704022943e+06 -4.1420273514263881e+06 -4.1284436628669444e+06 -4.1132126685373937e+06 -4.0961132054756596e+06 -4.0769072492846418e+06 -4.0553493236408089e+06 -4.0311932279612641e+06 -4.0042043336709756e+06 -3.9742345352860875e+06 -3.9410193049504813e+06 -3.9045620209245300e+06 -3.8649470225293883e+06 -3.8224850412045983e+06 -3.7777048410944557e+06 -3.7316129647150235e+06 -3.6857418632923197e+06 -3.6423751253342871e+06 -3.6048340056367912e+06 -3.5778475880973618e+06 -3.5681788376232004e+06 -3.5855409912181860e+06 -3.6441821449901592e+06 -3.7656866515423348e+06 -3.9842452090582508e+06 -4.3571560156260980e+06 1.0182385356937406e+05 +1.9627360889194326e-02 3.3542392487844125e+04 1.8561507545799308e+05 4.4626533466771402e+05 7.8392109994853952e+05 1.1126730831941797e+06 1.3031855279196631e+06 1.2972119602615836e+06 1.1901728130045605e+06 1.0797544971252165e+06 9.8555346988900949e+05 8.9568145429865201e+05 8.0847241012995853e+05 7.2631692368880764e+05 6.5003177193234593e+05 5.7938548133859015e+05 5.1480230728170078e+05 4.5657266848041391e+05 4.0429708142311848e+05 3.5740448464340268e+05 3.1535452451443498e+05 2.7767503462082194e+05 2.4428847773016503e+05 2.1813406097213863e+05 2.0527278729150075e+05 1.9460863493276216e+05 1.7484561210449273e+05 1.5255339054296058e+05 1.3191183909248837e+05 1.1339265436978814e+05 9.6831551259580607e+04 8.2026923341848262e+04 6.8792416961732917e+04 5.6958881480652752e+04 4.6372688521981065e+04 3.6893887648762298e+04 2.8394453131530885e+04 2.0756657309134618e+04 1.3871543922656569e+04 7.6374879664401969e+03 1.9588142751837750e+03 -3.6278045598333856e+03 -8.7871013193223916e+03 -1.3625412136644018e+04 -1.8248641961994377e+04 -2.2764495907428514e+04 -2.7285066705335470e+04 -3.1929995703478486e+04 -3.6830524198614206e+04 -4.2134942594239772e+04 -4.8015859142980269e+04 -5.4682014803108104e+04 -6.2389873231753787e+04 -7.1464964434664391e+04 -8.2340993319745990e+04 -9.5598846255548764e+04 -1.1204420623091012e+05 -1.3281813480797876e+05 -1.5957748907100697e+05 -1.9477562526205723e+05 -2.4208601402942915e+05 -3.0699178508096409e+05 -3.9741727413436456e+05 -5.2403290618900961e+05 -6.9949830667209835e+05 -9.3592550740657863e+05 -1.2405427055150704e+06 -1.6109122402273484e+06 -2.0321021919077800e+06 -2.4776039960796912e+06 -2.9145202259442895e+06 -3.3109411428635819e+06 -3.6427745189250372e+06 -3.8979384174259612e+06 -4.0771038706552517e+06 -4.1904487889105892e+06 -4.2536777436975511e+06 -4.2832301355077485e+06 -4.2930140865051663e+06 -4.2927713211229378e+06 -4.2897187395538520e+06 -4.2855567487570457e+06 -4.2808412031621505e+06 -4.2757179471623087e+06 -4.2703731881378684e+06 -4.2647331108853528e+06 -4.2588025848416295e+06 -4.2523431095697507e+06 -4.2454291983741932e+06 -4.2379335734429685e+06 -4.2297567402256029e+06 -4.2207777897282122e+06 -4.2108605228057588e+06 -4.1998487813515328e+06 -4.1875706228979463e+06 -4.1738375757425870e+06 -4.1584391100434326e+06 -4.1411516308474508e+06 -4.1217344967312641e+06 -4.0999395323358760e+06 -4.0755178298738678e+06 -4.0482321821174650e+06 -4.0179328489311617e+06 -3.9843524029234620e+06 -3.9474942556674769e+06 -3.9074436736463844e+06 -3.8645148050858644e+06 -3.8192422281919001e+06 -3.7726435526821204e+06 -3.7262680808373350e+06 -3.6824245043612435e+06 -3.6444706049454557e+06 -3.6171874610601142e+06 -3.6074123998734546e+06 -3.6249654575162404e+06 -3.6842513925834484e+06 -3.8070918861435256e+06 -4.0280535715158689e+06 -4.4050646160175577e+06 1.0307663403083717e+05 +1.9748328989664381e-02 3.2804452647441707e+04 1.8471015367847998e+05 4.4507559632673272e+05 7.8236231370620732e+05 1.1107551929897033e+06 1.3010615098255868e+06 1.2950985597031240e+06 1.1881810652688378e+06 1.0778881160545535e+06 9.8379485316069215e+05 8.9402580054582725e+05 8.0691651775758248e+05 7.2485486585602560e+05 6.4865665219296236e+05 5.7809057911871688e+05 5.1358043519914889e+05 4.5541637321940158e+05 4.0319938278970728e+05 3.5635905258692027e+05 3.1435564271383680e+05 2.7671752617693850e+05 2.4336735981166529e+05 2.1724206943840469e+05 2.0439816528498611e+05 1.9374945697618349e+05 1.7400880233671638e+05 1.5173985762626864e+05 1.3111897679591118e+05 1.1261752578708543e+05 9.6071402806837243e+04 8.1279195973638562e+04 6.8054713834631781e+04 5.6228933123819428e+04 4.5648318001030580e+04 3.6172975393320383e+04 2.7674900978880625e+04 2.0036350992341202e+04 1.3148313366457636e+04 6.9090644205183389e+03 1.2227834578404427e+03 -4.3749271724185928e+03 -9.5486540559108216e+03 -1.4405146643256168e+04 -1.9050831514219379e+04 -2.3594065976078342e+04 -2.8147755384790351e+04 -3.2832554740775682e+04 -3.7780975800104759e+04 -4.3142914964962016e+04 -4.9093027330542602e+04 -5.5842718561992886e+04 -6.3651913888287614e+04 -7.2850725093217960e+04 -8.3879134256363875e+04 -9.7326589459089213e+04 -1.1401078121985373e+05 -1.3508983070612111e+05 -1.6224529382122599e+05 -1.9796669119749995e+05 -2.4598038452787054e+05 -3.1184508514389978e+05 -4.0358661324138765e+05 -5.3199678772136278e+05 -7.0985364093875594e+05 -9.4934421322965517e+05 -1.2576830851602980e+06 -1.6323033559110789e+06 -2.0580379883704586e+06 -2.5080804819745654e+06 -2.9492354222510359e+06 -3.3493507567600319e+06 -3.6841824576090099e+06 -3.9416000755596119e+06 -4.1223218697065138e+06 -4.2366375040976433e+06 -4.3003988114555487e+06 -4.3301913997026272e+06 -4.3400446782636363e+06 -4.3397846237181239e+06 -4.3366946987872422e+06 -4.3324855719492882e+06 -4.3277178361785598e+06 -4.3225383065740187e+06 -4.3171349743218627e+06 -4.3114331271241978e+06 -4.3054376538520483e+06 -4.2989074452274144e+06 -4.2919178248317046e+06 -4.2843401206461051e+06 -4.2760737487307731e+06 -4.2669964761640066e+06 -4.2569706122295214e+06 -4.2458382900915490e+06 -4.2334256778520336e+06 -4.2195422496114392e+06 -4.2039751660504276e+06 -4.1864983835771945e+06 -4.1668686258351044e+06 -4.1448349999433458e+06 -4.1201458723788364e+06 -4.0925614396471619e+06 -4.0619303155821399e+06 -4.0279821536745108e+06 -3.9907203989256504e+06 -3.9502312513134824e+06 -3.9068322992680408e+06 -3.8610639748413679e+06 -3.8139550307162586e+06 -3.7670717356267832e+06 -3.7227480561604276e+06 -3.6843785511876401e+06 -3.6567966496156901e+06 -3.6469145499601276e+06 -3.6646598185691801e+06 -3.7245949489869750e+06 -3.8487805755025987e+06 -4.0721618401780203e+06 -4.4533011912633050e+06 1.0434478904996262e+05 +1.9870042645352682e-02 3.2058671474597617e+04 1.8379760957231044e+05 4.4387861448033084e+05 7.8079674385864788e+05 1.1088309408557224e+06 1.2989312765202078e+06 1.2929788240341188e+06 1.1861827087310629e+06 1.0760148625817094e+06 9.8202912632077676e+05 8.9236281585972419e+05 8.0535308864612551e+05 7.2338508665165177e+05 6.4727364709345449e+05 5.7678764790420595e+05 5.1235041054864525e+05 4.5425181984779460e+05 4.0209333641906490e+05 3.5530519706220983e+05 3.1334827375889791e+05 2.7575147722527472e+05 2.4243765598871364e+05 2.1634144452666043e+05 2.0351483627760934e+05 1.9288148723566497e+05 1.7316313992087569e+05 1.5091742812527300e+05 1.3031718060757856e+05 1.1183342918864435e+05 9.5302253473169942e+04 8.0522434346444148e+04 6.7307940764654049e+04 5.5489874974189399e+04 4.4914791707337426e+04 3.5442853149826282e+04 2.6946074098167723e+04 1.9306692163769741e+04 1.2415636666722361e+04 6.1710820993290181e+03 4.7705866226537387e+02 -5.1319188633122485e+03 -1.0320287596636184e+04 -1.5195217153092777e+04 -1.9863663819343499e+04 -2.4434646703896877e+04 -2.9021895313432837e+04 -3.3747092273175454e+04 -3.8744036925268549e+04 -4.4164252942758882e+04 -5.0184468992534959e+04 -5.7018789846816973e+04 -6.4930646622669869e+04 -7.4254791213233737e+04 -8.5437562536245518e+04 -9.9077078938875580e+04 -1.1600319054608907e+05 -1.3739129319692324e+05 -1.6494794913420588e+05 -2.0119928149723241e+05 -2.4992515016230132e+05 -3.1676063336500141e+05 -4.0983391414375178e+05 -5.4005893021024961e+05 -7.2033228907313640e+05 -9.6291526406811166e+05 -1.2750070085693228e+06 -1.6539089090497866e+06 -2.0842163871742676e+06 -2.5388232847945392e+06 -2.9842355071266750e+06 -3.3880589050776120e+06 -3.7258984000619459e+06 -3.9855759521821686e+06 -4.1678579090701882e+06 -4.2831463795879465e+06 -4.3474410161629822e+06 -4.3774740576589527e+06 -4.3873965107359141e+06 -4.3871188068481069e+06 -4.3839912189281778e+06 -4.3797346085961694e+06 -4.3749143173908954e+06 -4.3696781273757312e+06 -4.3642158214701312e+06 -4.3584517827283386e+06 -4.3523909189391164e+06 -4.3457894943353115e+06 -4.3387236481742542e+06 -4.3310633047052128e+06 -4.3227067831592783e+06 -4.3135305176621657e+06 -4.3033953157523554e+06 -4.2921415902278246e+06 -4.2795936066903202e+06 -4.2655587712925207e+06 -4.2498219193728408e+06 -4.2321545419821162e+06 -4.2123107098532626e+06 -4.1900367940489724e+06 -4.1650784167022780e+06 -4.1371931603756105e+06 -4.1062279814691348e+06 -4.0719095946933408e+06 -4.0342414785841582e+06 -3.9933107729978492e+06 -3.9494385300339023e+06 -3.9031710755321532e+06 -3.8555483811812396e+06 -3.8081537979441863e+06 -3.7633467395888995e+06 -3.7245587933541513e+06 -3.6966760956446398e+06 -3.6866862272216650e+06 -3.7046250182741317e+06 -3.7652137735465183e+06 -3.8907537109506624e+06 -4.1165710639069066e+06 -4.5018668883904992e+06 1.0562850658439014e+05 +1.9992506451293635e-02 3.1304950634374825e+04 1.8287734512621121e+05 4.4267428275877004e+05 7.7922429777360230e+05 1.1069002252000929e+06 1.2967947695384729e+06 1.2908526639089314e+06 1.1841776559443155e+06 1.0741346438963180e+06 9.8025619768611784e+05 8.9069241034405737e+05 8.0378203485925519e+05 7.2190749870697758e+05 6.4588266997961223e+05 5.7547660144521529e+05 5.1111214762318745e+05 4.5307892293704511e+05 4.0097885702112707e+05 3.5424283282618813e+05 3.1233233234589256e+05 2.7477680232052872e+05 2.4149928061174377e+05 2.1543210052064224e+05 2.0262271506993784e+05 1.9200464115101608e+05 1.7230854033602495e+05 1.5008601718675857e+05 1.2950636519250899e+05 1.1104027865142985e+05 9.4524016647684708e+04 7.9756551062702943e+04 6.6552009466225863e+04 5.4741617752099773e+04 4.4172019252861654e+04 3.4703429296408511e+04 2.6207879493353586e+04 1.8567586293549197e+04 1.1673417576423384e+04 5.4234428262897891e+03 -2.7846046520958828e+02 -5.8988826498282533e+03 -1.1102108020474207e+04 -1.5995733281477225e+04 -2.0687252596441354e+04 -2.5286356593862882e+04 -2.9907610595798622e+04 -3.4673738993440187e+04 -3.9719846050986824e+04 -4.5199104246802461e+04 -5.1290342879329794e+04 -5.8210400654039899e+04 -6.6226259437081244e+04 -7.5677370271533931e+04 -8.7016509532089563e+04 -1.0085057565910432e+05 -1.1802173221312743e+05 -1.3972286719868443e+05 -1.6768586007446528e+05 -2.0447387909006010e+05 -2.5392089491482027e+05 -3.2173914333990635e+05 -4.1616005117471417e+05 -5.4822039548354398e+05 -7.3093551237862557e+05 -9.7664010820831801e+05 -1.2925160708685787e+06 -1.6757305803960138e+06 -2.1106390865123477e+06 -2.5698340602869489e+06 -3.0195220531437881e+06 -3.4270670591889927e+06 -3.7679237182881199e+06 -4.0298673350571841e+06 -4.2137132131971000e+06 -4.3299765971810734e+06 -4.3948055137206484e+06 -4.4250792509850869e+06 -4.4350707181011615e+06 -4.4347750007669572e+06 -4.4316094283935884e+06 -4.4273049856129251e+06 -4.4224317723315218e+06 -4.4171385336937895e+06 -4.4116168523013834e+06 -4.4057901989344284e+06 -4.3996634997691335e+06 -4.3929903748728437e+06 -4.3858477845559837e+06 -4.3781042397982934e+06 -4.3696569555469574e+06 -4.3603810238975761e+06 -4.3501357404378718e+06 -4.3387597859315714e+06 -4.3260755103560844e+06 -4.3118882381225172e+06 -4.2959804632928353e+06 -4.2781211947972886e+06 -4.2580618324191179e+06 -4.2355459925490916e+06 -4.2103165343257440e+06 -4.1821284086176078e+06 -4.1508269029352628e+06 -4.1161357734902110e+06 -4.0780585324662239e+06 -4.0366832659943895e+06 -3.9923345133861746e+06 -3.9455645343691753e+06 -3.8974245959191974e+06 -3.8495152474476416e+06 -3.8042215227857479e+06 -3.7650122895894847e+06 -3.7368267501224605e+06 -3.7267283800636930e+06 -3.7448620096629313e+06 -3.8061088348716265e+06 -3.9330122933960934e+06 -4.1612823017078582e+06 -4.5507628655100595e+06 1.0692797687609641e+05 +2.0115725030841931e-02 3.0543190948695796e+04 1.8194926048247758e+05 4.4146251134181267e+05 7.7764487797552824e+05 1.1049629692601105e+06 1.2946518743289085e+06 1.2887199748954333e+06 1.1821658111133783e+06 1.0722473693944816e+06 9.7847597587853589e+05 8.8901449257365766e+05 8.0220326687694911e+05 7.2042201319801935e+05 6.4448363274623477e+05 5.7415735219038092e+05 5.0986555932429835e+05 4.5189759565271484e+05 3.9985585789597465e+05 3.5317187322543364e+05 3.1130773175999819e+05 2.7379341460879229e+05 2.4055214662449298e+05 2.1451395029810321e+05 2.0172171504593291e+05 1.9111883273570900e+05 1.7144491763104353e+05 1.4924553852861759e+05 1.2868644378827936e+05 1.1023798682711135e+05 9.3736604296479403e+04 7.8981457303075615e+04 6.5786830233281333e+04 5.3984070757559035e+04 4.3419908828303604e+04 3.3954610787445970e+04 2.5460222740112673e+04 1.7818937416973320e+04 1.0921558404570136e+04 4.6660469687489804e+03 -1.0438757499779213e+03 -6.6759230423937097e+03 -1.1894222926469767e+04 -1.6806806197154299e+04 -2.1521713159035055e+04 -2.6149315793290596e+04 -3.0805027041128786e+04 -3.5612627371809693e+04 -4.0708543519235631e+04 -4.6247618566638841e+04 -5.2410809838700196e+04 -5.9417725230830460e+04 -6.7538942771337170e+04 -7.7118672411340245e+04 -8.8616209565736368e+04 -1.0264734388599341e+05 -1.2006670797168452e+05 -1.4208490194182916e+05 -1.7045943673951415e+05 -2.0779097285698308e+05 -2.5796820987010398e+05 -3.2678133715367678e+05 -4.2256590871134179e+05 -5.5648225695924298e+05 -7.4166458505323553e+05 -9.9052020765353320e+05 -1.3102118811450889e+06 -1.6977700643946303e+06 -2.1373077977110352e+06 -2.6011144767016536e+06 -3.0550966448142617e+06 -3.4663767020232286e+06 -3.8102597955904054e+06 -4.0744755230940692e+06 -4.2598890176234161e+06 -4.3771293496987876e+06 -4.4424934710265184e+06 -4.4730081322396947e+06 -4.4830684454872748e+06 -4.4827543466628306e+06 -4.4795504665193092e+06 -4.4751978408128563e+06 -4.4702713374139760e+06 -4.4649206605467489e+06 -4.4593392003960088e+06 -4.4534495078142146e+06 -4.4472565268452512e+06 -4.4405112156190351e+06 -4.4332913609324899e+06 -4.4254640508932509e+06 -4.4169253886811528e+06 -4.4075491152821220e+06 -4.3971930040616263e+06 -4.3856939920570059e+06 -4.3728725004411675e+06 -4.3585317580484273e+06 -4.3424519016704401e+06 -4.3243994412975898e+06 -4.3041230876518581e+06 -4.2813636837829314e+06 -4.2558613071015598e+06 -4.2273682589729037e+06 -4.1957281465395065e+06 -4.1606617477094559e+06 -4.1221726084348196e+06 -4.0803497675271365e+06 -4.0355212751665693e+06 -3.9882453651737864e+06 -3.9395846763873263e+06 -3.8911570732801855e+06 -3.8453733832454965e+06 -3.8057400073239394e+06 -3.7772495732349507e+06 -3.7670419660867038e+06 -3.7853717549819201e+06 -3.8472811109463181e+06 -3.9755573334340029e+06 -4.2062966228250321e+06 -4.5999902919321302e+06 1.0824339247889695e+05 +2.0239703035847104e-02 2.9773290964325741e+04 1.8101325406995491e+05 4.4024318589574966e+05 7.7605838039532269e+05 1.1030190358778303e+06 1.2925024902428007e+06 1.2865806642728087e+06 1.1801470740608778e+06 1.0703529430794504e+06 9.7668836829454941e+05 8.8732897024795425e+05 8.0061669350492361e+05 7.1892853983957088e+05 6.4307644583230361e+05 5.7282981129581342e+05 5.0861055714735680e+05 4.5070774974383472e+05 3.9872425092284265e+05 3.5209223018356960e+05 3.1027438386174606e+05 2.7280122581529239e+05 2.3959616555235302e+05 2.1358690531636344e+05 2.0081174816140946e+05 1.9022397456326071e+05 1.7057218441170562e+05 1.4839590442581204e+05 1.2785732819209540e+05 1.0942646492880878e+05 9.2939926948729364e+04 7.8197062813166616e+04 6.5012311925384565e+04 5.3217141856083537e+04 4.2658367188521777e+04 3.3196303138624105e+04 2.4703007970902443e+04 1.7060648119237932e+04 1.0159960000631225e+04 3.8987934220001821e+03 -1.8192905055566512e+03 -7.4631460614467196e+03 -1.2696741451126685e+04 -1.7628548640394882e+04 -2.2367162433840844e+04 -2.7023646113472645e+04 -3.1714272184047226e+04 -3.6563891677801053e+04 -4.1710271560263267e+04 -4.7309947587102943e+04 -5.3546032842300992e+04 -6.0640940103987887e+04 -6.8868889534029819e+04 -7.8578910476470221e+04 -9.0236899946274163e+04 -1.0446765123070670e+05 -1.2213842336776950e+05 -1.4447775102394144e+05 -1.7326909432401499e+05 -2.1115105770478578e+05 -2.6206769330260786e+05 -3.3188794548139215e+05 -4.2905238128673419e+05 -5.6484559977420350e+05 -7.5252079431548214e+05 -1.0045570382482156e+06 -1.3280960625578612e+06 -1.7200290692920189e+06 -2.1642242453231527e+06 -2.6326662148751467e+06 -3.0909608787018973e+06 -3.5059893281713091e+06 -3.8529080266922750e+06 -4.1194018264840036e+06 -4.3063865690741306e+06 -4.4246058411171632e+06 -4.4905060660929224e+06 -4.5212618650841126e+06 -4.5313908490897063e+06 -4.5310579967645733e+06 -4.5278154836769002e+06 -4.5234143230429348e+06 -4.5184341600694330e+06 -4.5130256539364019e+06 -4.5073840103182849e+06 -4.5014308524256172e+06 -4.4951711416342836e+06 -4.4883531563080074e+06 -4.4810555151735982e+06 -4.4731438738552416e+06 -4.4645132162473872e+06 -4.4550359230844332e+06 -4.4445682352357069e+06 -4.4329453342663385e+06 -4.4199856993146110e+06 -4.4054904497545483e+06 -4.3892373490671813e+06 -4.3709903914091783e+06 -4.3504955802698890e+06 -4.3274909666232234e+06 -4.3017138273555208e+06 -4.2729137964701941e+06 -4.2409327891800739e+06 -4.2054885852485374e+06 -4.1665847645068574e+06 -4.1243113248841185e+06 -4.0789998511472391e+06 -4.0312145915831286e+06 -3.9820296337365163e+06 -3.9330802741617919e+06 -3.8868033079426931e+06 -3.8467429233532492e+06 -3.8179455344703696e+06 -3.8076279521455527e+06 -3.8261552257988914e+06 -3.8887315892325337e+06 -4.0183898514413401e+06 -4.2516151068739938e+06 -4.6495503483034354e+06 1.0957494828629009e+05 +2.0364445146829144e-02 2.8995149470978100e+04 1.8006922583305347e+05 4.3901621394829225e+05 7.7446469530226092e+05 1.1010683381775185e+06 1.2903465127251835e+06 1.2844346349304274e+06 1.1781213472363912e+06 1.0684512687088652e+06 9.7489328064618469e+05 8.8563575023534009e+05 7.9902222214135400e+05 7.1742698692756949e+05 6.4166101825324318e+05 5.7149388855624886e+05 5.0734705116853304e+05 4.4950929552742047e+05 3.9758394655104418e+05 3.5100381418963929e+05 3.0923219907870749e+05 2.7180014623104985e+05 2.3863124748883923e+05 2.1265087560105551e+05 1.9989272493009819e+05 1.8931997775485436e+05 1.6969025182750245e+05 1.4753702569823200e+05 1.2701892874718498e+05 1.0860562271786419e+05 9.2133893683463757e+04 7.7403275889518802e+04 6.4228361953694875e+04 5.2440737464396028e+04 4.1887299638061711e+04 3.2428410412281151e+04 2.3936137859767059e+04 1.6292619519993041e+04 9.3885217387296689e+03 3.1215795931032703e+03 -2.6048095501773196e+03 -8.2606592545252206e+03 -1.3509774286125426e+04 -1.8461074941315244e+04 -2.3223718979927115e+04 -2.7909471049578879e+04 -3.2635475305453070e+04 -3.7527668002396720e+04 -4.2725174316020573e+04 -4.8386245013119238e+04 -5.4696177012724169e+04 -6.1880224109177041e+04 -7.0216295134551809e+04 -8.0058300046630451e+04 -9.1878821009126405e+04 -1.0631176869271912e+05 -1.2423718779204064e+05 -1.4690177246592907e+05 -1.7611525318442518e+05 -2.1455463464167929e+05 -2.6621995076386962e+05 -3.3705970768917294e+05 -4.3562037370363582e+05 -5.7331152090077603e+05 -7.6350544052914414e+05 -1.0187520897983183e+06 -1.3461702524551244e+06 -1.7425093172427560e+06 -2.1913901672340785e+06 -2.6644909683443415e+06 -3.1271163635224071e+06 -3.5459064439877085e+06 -3.8958698178404034e+06 -4.1646475668021147e+06 -4.3532071255816696e+06 -4.4724072866601069e+06 -4.5388444881552691e+06 -4.5698416243689544e+06 -4.5800390962860323e+06 -4.5796871144661158e+06 -4.5764056413842821e+06 -4.5719555922714602e+06 -4.5669213988477467e+06 -4.5614546709881974e+06 -4.5557524377324721e+06 -4.5497353868990466e+06 -4.5434084966514921e+06 -4.5365173477152949e+06 -4.5291413961905492e+06 -4.5211448555634320e+06 -4.5124215829039002e+06 -4.5028425895342324e+06 -4.4922625735127702e+06 -4.4805149491325859e+06 -4.4674162402210599e+06 -4.4527654427739028e+06 -4.4363379308438543e+06 -4.4178951658105664e+06 -4.3971804257052112e+06 -4.3739289506051838e+06 -4.3478751980214817e+06 -4.3187661166451322e+06 -4.2864419181928961e+06 -4.2506173643613346e+06 -4.2112960689586047e+06 -4.1685689955044556e+06 -4.1227712871494517e+06 -4.0744732471710034e+06 -4.0247604889221657e+06 -3.9752858585032313e+06 -3.9285122934141872e+06 -3.8880220239503467e+06 -3.8589156127092559e+06 -3.8484873144865064e+06 -3.8672134031151766e+06 -3.9304612667675489e+06 -4.0615108777019498e+06 -4.2972388439294100e+06 -4.6994442267189994e+06 1.1092284155962063e+05 +2.0489956073155197e-02 2.8208662992689558e+04 1.7911706642376320e+05 4.3778148936622276e+05 7.7286373588387331e+05 1.0991107923618832e+06 1.2881838355974457e+06 1.2822817736290284e+06 1.1760885314463861e+06 1.0665422480836906e+06 9.7309061661283136e+05 8.8393473797010176e+05 7.9741975887618307e+05 7.1591726139928971e+05 6.4023725765349227e+05 5.7014949231407151e+05 5.0607495002716000e+05 4.4830214187383250e+05 3.9643485378756461e+05 3.4990653428476956e+05 3.0818108639096271e+05 2.7079008470073872e+05 2.3765730108263803e+05 2.1170576973133304e+05 1.9896455441112828e+05 1.8840675196596087e+05 1.6879902955888689e+05 1.4666881169697753e+05 1.2617115432967096e+05 1.0777536848963686e+05 9.1318412115399711e+04 7.6600003365542390e+04 6.3434886266566667e+04 5.1654762535904971e+04 4.1106610016360246e+04 3.1650835202275382e+04 2.3159513607098095e+04 1.5514751257738191e+04 8.6071415016778683e+03 2.3343013845271489e+03 -3.4005392235726872e+03 -9.0685717135551786e+03 -1.4333433696130127e+04 -1.9304501038383543e+04 -2.4091503007917432e+04 -2.8806915800882613e+04 -3.3568767453631961e+04 -3.8504094280207428e+04 -4.3753397863765567e+04 -4.9476666595135466e+04 -5.5861409650541435e+04 -6.3135758420118560e+04 -7.1581357515076204e+04 -8.1557059472277237e+04 -9.3542216154664333e+04 -1.0817997070374140e+05 -1.2636331452872370e+05 -1.4935732876885869e+05 -1.7899833890409375e+05 -2.1800221085295946e+05 -2.7042559517239191e+05 -3.4229737193656270e+05 -4.4227080114861950e+05 -5.8188112927180773e+05 -7.7461983732992935e+05 -1.0331068661949892e+06 -1.3644361024895585e+06 -1.7652125444176956e+06 -2.2188073147663502e+06 -2.6965904434353933e+06 -3.1635647202434787e+06 -3.5861295676943539e+06 -3.9391465869057104e+06 -4.2102140771249095e+06 -4.4003519565981934e+06 -4.5205349129192550e+06 -4.5875099377855975e+06 -4.6187485962716890e+06 -4.6290143657555133e+06 -4.6286428744455986e+06 -4.6253221124327872e+06 -4.6208228197362907e+06 -4.6157342235445045e+06 -4.6102088800520655e+06 -4.6044456495127408e+06 -4.5983642765677581e+06 -4.5919697556106858e+06 -4.5850049517866457e+06 -4.5775501640382018e+06 -4.5694681540226815e+06 -4.5606516444261242e+06 -4.5509702679606630e+06 -4.5402771695025712e+06 -4.5284039842540715e+06 -4.5151652674056171e+06 -4.5003578775988286e+06 -4.4837547832883168e+06 -4.4651148960710065e+06 -4.4441787502058540e+06 -4.4206787560285982e+06 -4.3943465327161048e+06 -4.3649263256685715e+06 -4.3322566314718071e+06 -4.2960491737571079e+06 -4.2563076004346553e+06 -4.2131238470840249e+06 -4.1668366391424388e+06 -4.1180223755325172e+06 -4.0677782728118603e+06 -4.0177748444972523e+06 -3.9705013458734672e+06 -3.9295783049537456e+06 -3.9001607963426812e+06 -3.8896210388231650e+06 -3.9085472774337847e+06 -3.9724711502608689e+06 -4.1049214524973924e+06 -4.3431689346427312e+06 -4.7496731308377078e+06 1.1228727195658319e+05 +2.0616240553217365e-02 2.7413726086689498e+04 1.7815667903535801e+05 4.3653890776811243e+05 7.7125538015899027e+05 1.0971462635834981e+06 1.2860143744034490e+06 1.2801219863870784e+06 1.1740485306542721e+06 1.0646257805406603e+06 9.7128027764595335e+05 8.8222583706086280e+05 7.9580920814205345e+05 7.1439926881516573e+05 6.3880507032055501e+05 5.6879652939510299e+05 5.0479416090150201e+05 4.4708619618676393e+05 3.9527688018267287e+05 3.4880029804931040e+05 3.0712095331987069e+05 2.6977094860716857e+05 2.3667423352385403e+05 2.1075149482729082e+05 1.9802714419532812e+05 1.8748420537326494e+05 1.6789842580285657e+05 1.4579117029062123e+05 1.2531391233450841e+05 1.0693560906018486e+05 9.0493388381085359e+04 7.5787150597288768e+04 6.2631789335194175e+04 5.0859120546118393e+04 4.0316200682796916e+04 3.0863478618748682e+04 2.2373034924076466e+04 1.4726941473920775e+04 7.8157156647603124e+03 1.5368531775826607e+03 -4.2065874039457385e+03 -9.8869940923508821e+03 -1.5167833536911236e+04 -2.0158944497119821e+04 -2.4970636399449486e+04 -2.9716107290921515e+04 -3.4514281465617336e+04 -3.9493310312087320e+04 -4.4795090239983365e+04 -5.0581370154632663e+04 -5.7041900261884977e+04 -6.4407726578627757e+04 -7.2964277183115890e+04 -8.3075409910782008e+04 -9.5227331887934299e+04 -1.1007253517152657e+05 -1.2851712080609413e+05 -1.5184478697034769e+05 -1.8191878235953633e+05 -2.2149429977903303e+05 -2.7468524690207845e+05 -3.4760169527949655e+05 -4.4900458930679649e+05 -5.9055554590624291e+05 -7.8586531175042829e+05 -1.0476228855353580e+06 -1.3828952787324120e+06 -1.7881405011127116e+06 -2.2464774527800544e+06 -2.7289663593692440e+06 -3.2003075821783682e+06 -3.6266602294805064e+06 -3.9827397635044162e+06 -4.2561027021159399e+06 -4.4478223430990539e+06 -4.5689899579857327e+06 -4.6365036270158784e+06 -4.6679839783919882e+06 -4.6783178475799365e+06 -4.6779264627710506e+06 -4.6745660809919778e+06 -4.6700171880356018e+06 -4.6648738153094603e+06 -4.6592894608189967e+06 -4.6534648238605699e+06 -4.6473186980748214e+06 -4.6408560935221557e+06 -4.6338171417466197e+06 -4.6262829900287492e+06 -4.6181149384856848e+06 -4.6092045678032162e+06 -4.5994201228703661e+06 -4.5886131849827757e+06 -4.5766135983756790e+06 -4.5632339362204792e+06 -4.5482689057872565e+06 -4.5314890537085719e+06 -4.5126507247267552e+06 -4.4914916909692306e+06 -4.4677415140692024e+06 -4.4411289558783090e+06 -4.4113955404497823e+06 -4.3783780375602543e+06 -4.3417851127175651e+06 -4.3016204480406661e+06 -4.2579769576824717e+06 -4.2111969733420806e+06 -4.1618630303908675e+06 -4.1110840262714671e+06 -4.0605482602188769e+06 -4.0127714812987209e+06 -3.9714127718676939e+06 -3.9416820833470444e+06 -3.9310301204405841e+06 -3.9501578488870696e+06 -4.0147622561938008e+06 -4.1486226261926773e+06 -4.3894064903574158e+06 -4.8002382760026380e+06 1.1366844156006264e+05 +2.0743303354611588e-02 2.6610234150954602e+04 1.7718795494285412e+05 4.3528835859659233e+05 7.6963952874821518e+05 1.0951746673732232e+06 1.2838380075351410e+06 1.2779551845290563e+06 1.1720012400337989e+06 1.0627017666687721e+06 9.6946216441825428e+05 8.8050894943370996e+05 7.9419047266047611e+05 7.1287291327486187e+05 6.3736436111866205e+05 5.6743490510063595e+05 5.0350458948673331e+05 4.4586136438635079e+05 3.9410993181657180e+05 3.4768501158856309e+05 3.0605170591503853e+05 2.6874264386004279e+05 2.3568195053019561e+05 2.0978795653662202e+05 1.9708040039144343e+05 1.8655224466035873e+05 1.6698834726056864e+05 1.4490400785134503e+05 1.2444710866182888e+05 1.0608624975196416e+05 8.9658727124560784e+04 7.4964621448860780e+04 6.1818974138992678e+04 5.0053713477552912e+04 3.9515972501568205e+04 3.0066240272800576e+04 2.1576600016969758e+04 1.3929086796972902e+04 7.0141390793877445e+03 7.2912781567596846e+02 -5.0230635251583208e+03 -1.0716038624288241e+04 -1.6013089273550457e+04 -2.1024524529012149e+04 -2.5861242726838358e+04 -3.0637174188211186e+04 -3.5472151988721300e+04 -4.0495457787797575e+04 -4.5850401464575996e+04 -5.1700515609870032e+04 -5.8237820586025970e+04 -6.5696314524382673e+04 -7.4365257243917629e+04 -8.4613575361797964e+04 -9.6934417858721703e+04 -1.1198974352494054e+05 -1.3069892784665972e+05 -1.5436451870297891e+05 -1.8487701978725052e+05 -2.2503142119204873e+05 -2.7899953387257701e+05 -3.5297344377447473e+05 -4.5582267448054353e+05 -5.9933590403110452e+05 -7.9724320434964553e+05 -1.0623016802517229e+06 -1.4015494617946991e+06 -1.8112949518522474e+06 -2.2744023597734319e+06 -2.7616204483556016e+06 -3.2373465950947823e+06 -3.6674999716113848e+06 -4.0266507890860322e+06 -4.3023147981616911e+06 -4.4956195776992273e+06 -4.6177736715341341e+06 -4.6858267794434624e+06 -4.7175489798816703e+06 -4.7279507433694052e+06 -4.7275390770144416e+06 -4.7241387427233886e+06 -4.7195398912463570e+06 -4.7143413667582627e+06 -4.7086976044226941e+06 -4.7028111504173810e+06 -4.6965998394907182e+06 -4.6900686967882570e+06 -4.6829551022010399e+06 -4.6753410568516329e+06 -4.6670863895414062e+06 -4.6580815313581713e+06 -4.6481933300825702e+06 -4.6372717930075452e+06 -4.6251449614805179e+06 -4.6116234132281374e+06 -4.5964996900866227e+06 -4.5795419005603651e+06 -4.5605038054183163e+06 -4.5391203962188149e+06 -4.5151183668739935e+06 -4.4882236028578291e+06 -4.4581748887384888e+06 -4.4248072557613906e+06 -4.3878262911928762e+06 -4.3472357114689099e+06 -4.3031294158231625e+06 -4.2558533663126146e+06 -4.2059962757062213e+06 -4.1546788002776257e+06 -4.1036071437229919e+06 -4.0553237255263100e+06 -4.0135264399608257e+06 -3.9834804813899053e+06 -3.9727155642835903e+06 -3.9920461273041144e+06 -4.0573356109177126e+06 -4.1926154593598759e+06 -4.4359526331972489e+06 -4.8511408893587003e+06 1.1506655490731202e+05 +2.0871149274317633e-02 2.5798079211006287e+04 1.7621078335655233e+05 4.3402973761461134e+05 7.6801607565395022e+05 1.0931958800040942e+06 1.2816546208525724e+06 1.2757812434028778e+06 1.1699465531977927e+06 1.0607701060718703e+06 9.6763617601832817e+05 8.7878397568586713e+05 7.9256345401830645e+05 7.1133809732354269e+05 6.3591503339140571e+05 5.6606452322318440e+05 5.0220613997073699e+05 4.4462755089677207e+05 3.9293391328218201e+05 3.4656057951831608e+05 3.0497324873846391e+05 2.6770507488153083e+05 2.3468035633320929e+05 2.0881505902025773e+05 1.9612422761259053e+05 1.8561077500451557e+05 1.6606869912218192e+05 1.4400722924155017e+05 1.2357064770295426e+05 1.0522719437928783e+05 8.8814331482721565e+04 7.4132318278100152e+04 6.0996342150351782e+04 4.9238441804724898e+04 3.8705824826269607e+04 2.9259018260741690e+04 2.0770105571210177e+04 1.3121082326064992e+04 6.2023050565138392e+03 -8.8983412661976757e+01 -5.8500785941278782e+03 -1.1555819140190933e+04 -1.6869317998956285e+04 -2.1901362010686251e+04 -2.6763447273024052e+04 -3.1570246926947177e+04 -3.6442515502432274e+04 -4.1510680309096810e+04 -4.6919483565273513e+04 -5.2834265001961125e+04 -5.9449344623462923e+04 -6.7001710625359803e+04 -7.5784503434028782e+04 -8.6171782704203360e+04 -9.8663726901718779e+04 -1.1393188075888227e+05 -1.3290906091859142e+05 -1.5691690025281961e+05 -1.8787349285093014e+05 -2.2861410127524723e+05 -2.8336909164217231e+05 -3.5841339258402993e+05 -4.6272600370440172e+05 -6.0822334921115998e+05 -8.0875486933938763e+05 -1.0771447972288169e+06 -1.4204003469374203e+06 -1.8346776755049608e+06 -2.3025838279839973e+06 -2.7945544556955947e+06 -3.2746834173017503e+06 -3.7086503485159604e+06 -4.0708811170404861e+06 -4.3488517334544454e+06 -4.5437449647630705e+06 -4.6668873149450272e+06 -4.7354806303327139e+06 -4.7674448215381661e+06 -4.7779142663652450e+06 -4.7774819263654435e+06 -4.7740413048831550e+06 -4.7693921350337407e+06 -4.7641380820782492e+06 -4.7584345135661336e+06 -4.7524858303627586e+06 -4.7462089004028169e+06 -4.7396087633335833e+06 -4.7324200292604305e+06 -4.7247255586640080e+06 -4.7163836992492992e+06 -4.7072837248395672e+06 -4.6972910768267922e+06 -4.6862541780167753e+06 -4.6739992549142847e+06 -4.6603348763175616e+06 -4.6450514045122955e+06 -4.6279144935317105e+06 -4.6086753029684704e+06 -4.5870660253171874e+06 -4.5628104676847225e+06 -4.5356316200236222e+06 -4.5052655092256498e+06 -4.4715454162455052e+06 -4.4341738299100669e+06 -4.3931545010641348e+06 -4.3485823206039462e+06 -4.3008069050745582e+06 -4.2504231857530903e+06 -4.1985636560040601e+06 -4.1469525431399597e+06 -4.0981591143532339e+06 -4.0559203343511317e+06 -4.0255570079140901e+06 -4.0146783850429626e+06 -4.0342131323174722e+06 -4.1001922507401956e+06 -4.2369010228586560e+06 -4.4828084961772161e+06 -4.9023822099545896e+06 1.1648181901948714e+05 +2.0999783138880197e-02 2.4977153034025068e+04 1.7522506119561588e+05 4.3276293917504849e+05 7.6638491445426468e+05 1.0912098117306675e+06 1.2794641420429498e+06 1.2736000600840384e+06 1.1678843742194141e+06 1.0588306961140404e+06 9.6580221102041600e+05 8.7705081510556850e+05 7.9092805291326228e+05 7.0979472197192966e+05 6.3445698889267002e+05 5.6468528605297382e+05 5.0089871502065583e+05 4.4338465863812529e+05 3.9174872766825621e+05 3.4542690495059005e+05 3.0388548485027842e+05 2.6665814459207241e+05 2.3366935366396993e+05 2.0783270493760944e+05 1.9515852896218433e+05 1.8465970006249592e+05 1.6513938505349425e+05 1.4310073779954706e+05 1.2268443232553315e+05 1.0435834523429775e+05 8.7960103071010453e+04 7.3290141921273986e+04 6.0163793320134755e+04 4.8413204478825406e+04 3.7885655484420393e+04 2.8441709148377162e+04 1.9953446735192549e+04 1.2302821614621513e+04 5.3801053498354122e+03 -9.1759079093871310e+02 -6.6877452083829003e+03 -1.2406451086468251e+04 -1.7736638452499137e+04 -2.2789579503236946e+04 -2.7677377051646334e+04 -3.2515457727922738e+04 -3.7425510340282883e+04 -4.2539123412835193e+04 -4.8002490602253871e+04 -5.3982782521237255e+04 -6.0676648664325221e+04 -6.8324105708525618e+04 -7.7222224154401672e+04 -8.7750261732703017e+04 -1.0041551507747585e+05 -1.1589923547982545e+05 -1.3514784938685471e+05 -1.5950231261800457e+05 -1.9090864871046509e+05 -2.3224287270185820e+05 -2.8779456349914975e+05 -3.6392232608207234e+05 -4.6971553486638400e+05 -6.1721903947158530e+05 -8.2040167471434467e+05 -1.0921537979338786e+06 -1.4394496441913424e+06 -1.8582904653850375e+06 -2.3310236634890107e+06 -2.8277701398737631e+06 -3.3123197197559997e+06 -3.7501129268966103e+06 -4.1154322127966085e+06 -4.3957148881040504e+06 -4.5921998204914527e+06 -4.7163321614059191e+06 -4.7854664267341327e+06 -4.8176727359157726e+06 -4.8282096415495668e+06 -4.8277562317245705e+06 -4.8242749864430409e+06 -4.8195751367591107e+06 -4.8142651771373022e+06 -4.8085014026155509e+06 -4.8024900765388533e+06 -4.7961470920497086e+06 -4.7894775027101561e+06 -4.7822131306314394e+06 -4.7744377012189850e+06 -4.7660080712241698e+06 -4.7568123495467249e+06 -4.7467145618504696e+06 -4.7355615359367253e+06 -4.7231776714807246e+06 -4.7093695148005523e+06 -4.6939252344814781e+06 -4.6766080136660365e+06 -4.6571663935094597e+06 -4.6353297488788264e+06 -4.6108189809252862e+06 -4.5833541648627995e+06 -4.5526685516509684e+06 -4.5185936601460148e+06 -4.4808288604614316e+06 -4.4393779379587797e+06 -4.3943367817710051e+06 -4.3460586871834090e+06 -4.2951448452418242e+06 -4.2427396649162257e+06 -4.1905855167660019e+06 -4.1412786936184680e+06 -4.0985954901010832e+06 -4.0679126902320273e+06 -4.0569196072593760e+06 -4.0766598934563282e+06 -4.1433332220232855e+06 -4.2814803979407055e+06 -4.5299752233081181e+06 -4.9539634888545647e+06 1.1791444343151801e+05 +2.1129209804591122e-02 2.4147345927934741e+04 1.7423067344981059e+05 4.3148784942120203e+05 7.6474593419000297e+05 1.0892163330026800e+06 1.2772664337871419e+06 1.2714115374637474e+06 1.1658145888748709e+06 1.0568834307778699e+06 9.6396016645447339e+05 8.7530936542968801e+05 7.8928416865093086e+05 7.0824268680711125e+05 6.3299012778590806e+05 5.6329709436858527e+05 4.9958221577825269e+05 4.4213258902377955e+05 3.9055427653823316e+05 3.4428388947606517e+05 3.0278831579288648e+05 2.6560175439696806e+05 2.3264884373866959e+05 2.0684079543346143e+05 1.9418320601933915e+05 1.8369892195563606e+05 1.6420030718178116e+05 1.4218443532443116e+05 1.2178836385938327e+05 1.0347960307187331e+05 8.7095941968104264e+04 7.2437991678231963e+04 5.9321226061718859e+04 4.7577898912112738e+04 3.7055360761513453e+04 2.7614207954850113e+04 1.9126517104138569e+04 1.1474196653694049e+04 4.5474301388108861e+03 -1.7568061920758007e+03 -7.5361775739093155e+03 -1.3268051543378315e+04 -1.8615171038974673e+04 -2.3689301271788321e+04 -2.8603160827397292e+04 -3.3472940619961373e+04 -3.8421276712305262e+04 -4.3580934594723556e+04 -4.9099578693021016e+04 -5.5146234533806099e+04 -6.1919911316873207e+04 -6.9663693090697110e+04 -7.8678630504436733e+04 -8.9349245194841948e+04 -1.0219004171337825e+05 -1.1789209995261848e+05 -1.3741562676606671e+05 -1.6212114156839083e+05 -1.9398294008969623e+05 -2.3591827471566136e+05 -2.9227660055512108e+05 -3.6950103796204273e+05 -4.7679223682514258e+05 -6.2632414542830328e+05 -8.3218500238260406e+05 -1.1073302585403577e+06 -1.4586990784728185e+06 -1.8821351293564825e+06 -2.3597236863047690e+06 -2.8612692726563294e+06 -3.3502571861499934e+06 -3.7918892858197899e+06 -4.1603055539345942e+06 -4.4429056542478586e+06 -4.6409854730546838e+06 -4.7661094960187702e+06 -4.8357854275921909e+06 -4.8682339674437130e+06 -4.8788381057505449e+06 -4.8783632258341443e+06 -4.8748410181866931e+06 -4.8700901255780999e+06 -4.8647238795907507e+06 -4.8588994977141609e+06 -4.8528251135335136e+06 -4.8464156374048861e+06 -4.8396761361827273e+06 -4.8323356257451233e+06 -4.8244787019504188e+06 -4.8159607207592977e+06 -4.8066686184257362e+06 -4.7964649955200534e+06 -4.7851950743030347e+06 -4.7726814155453639e+06 -4.7587285295221526e+06 -4.7431223768965295e+06 -4.7256236534517752e+06 -4.7059782645816049e+06 -4.6839127488702899e+06 -4.6591450823114971e+06 -4.6313924060874041e+06 -4.6003851769069023e+06 -4.5659531396581260e+06 -4.5277925254129320e+06 -4.4859071541484660e+06 -4.4403939198375903e+06 -4.3916098208427280e+06 -4.3401623493804587e+06 -4.2872079088675696e+06 -4.2345071331578223e+06 -4.1846835193112092e+06 -4.1415529523112513e+06 -4.1105485656232270e+06 -4.0994402654097690e+06 -4.1193874502225686e+06 -4.1867595812766296e+06 -4.3263546763456510e+06 -4.5774539696834534e+06 -5.0058859892663667e+06 1.1936464022234410e+05 +2.1259434157672733e-02 2.3308546586808308e+04 1.7322751342402474e+05 4.3020435750211368e+05 7.6309900906122115e+05 1.0872153428353490e+06 1.2750613801395181e+06 1.2692155582526026e+06 1.1637370954587210e+06 1.0549282046699983e+06 9.6210993698165310e+05 8.7355952280603291e+05 7.8763169857473101e+05 7.0668189002838929e+05 6.3151434869073657e+05 5.6189984742136463e+05 4.9825654186280159e+05 4.4087124195327080e+05 3.8935045991482440e+05 3.4313143315045774e+05 3.0168164157447184e+05 2.6453580417161394e+05 2.3161872624379740e+05 2.0583923012192248e+05 1.9319815882429393e+05 1.8272834125600907e+05 1.6325136608022160e+05 1.4125822206216207e+05 1.2088234208158690e+05 1.0259086709477199e+05 8.6221746701059383e+04 7.1575765297055899e+04 5.8468537236042546e+04 4.6732420962296390e+04 3.6214835385224695e+04 2.6776408136476657e+04 1.8289208703346660e+04 1.0635097855154550e+04 3.7041680114409787e+03 -2.6067430959997305e+03 -8.3954915231223622e+03 -1.4140739243605600e+04 -1.9505037847651703e+04 -2.4600653305262007e+04 -2.9540929136597500e+04 -3.4442831461268725e+04 -3.9429956727386656e+04 -4.4636263332774513e+04 -5.0210906037747736e+04 -5.6324789608498511e+04 -6.3179313536339119e+04 -7.1020668609942848e+04 -8.0153936315851126e+04 -9.0968968828756930e+04 -1.0398756944566443e+05 -1.1991077014633481e+05 -1.3971273077283477e+05 -1.6477377770675838e+05 -1.9709682534743167e+05 -2.3964085321241681e+05 -2.9681586183976586e+05 -3.7515033134492947e+05 -4.8395708953202009e+05 -6.3553985041767370e+05 -8.4410624829225068e+05 -1.1226757700520421e+06 -1.4781503897028940e+06 -1.9062134899506508e+06 -2.3886857304919371e+06 -2.8950536391931893e+06 -3.3884975130105820e+06 -3.8339810168123553e+06 -4.2055026302686092e+06 -4.4904254361324525e+06 -4.6901032626685174e+06 -4.8162206159104742e+06 -4.8864389038341278e+06 -4.9191297725137789e+06 -4.9298009077422442e+06 -4.9293041533621168e+06 -4.9257406428206963e+06 -4.9209383425684543e+06 -4.9155154289952880e+06 -4.9096300368798627e+06 -4.9034921778106401e+06 -4.8970157712937118e+06 -4.8902058968580859e+06 -4.8827887458235109e+06 -4.8748497900874550e+06 -4.8662428749096757e+06 -4.8568537561646169e+06 -4.8465435999304028e+06 -4.8351560123261288e+06 -4.8225117031475827e+06 -4.8084131329581635e+06 -4.7926440402622176e+06 -4.7749626169311544e+06 -4.7551121152126724e+06 -4.7328162187059475e+06 -4.7077899589462150e+06 -4.6797475237312438e+06 -4.6484165571223153e+06 -4.6136250181364063e+06 -4.5750659783987710e+06 -4.5327432925936021e+06 -4.4867548661680734e+06 -4.4374614249873320e+06 -4.3854768040048284e+06 -4.3319694801981058e+06 -4.2787184712257758e+06 -4.2283746576375263e+06 -4.1847937762016328e+06 -4.1534656814128263e+06 -4.1422414039904764e+06 -4.1623968522021305e+06 -4.2304723952395553e+06 -4.3715249603738235e+06 -4.6252459015960367e+06 -5.0581509866265282e+06 1.2083262404550532e+05 +2.1390461114462311e-02 2.2460642258727348e+04 1.7221546400233376e+05 4.2891235464736039e+05 7.6144404629627767e+05 1.0852067234844174e+06 1.2728488841489512e+06 1.2670120122748057e+06 1.1616517841336378e+06 1.0529649108374382e+06 9.6025141628751217e+05 8.7180118185733561e+05 7.8597053806852887e+05 7.0511222834110726e+05 6.3002954876078805e+05 5.6049344292932306e+05 4.9692159137187793e+05 4.3960051580023021e+05 3.8813717626374948e+05 3.4196943447895534e+05 3.0056536065536505e+05 2.6346019224634703e+05 2.3057889932139142e+05 2.0482790707237498e+05 1.9220328586401464e+05 1.8174785697151467e+05 1.6229246075455393e+05 1.4032199669059287e+05 1.1996626520142882e+05 1.0169203493855476e+05 8.5337414229752685e+04 7.0703358958371668e+04 5.7605622135494894e+04 4.5876664916432310e+04 3.5363972509057196e+04 2.5928201570166464e+04 1.7441411971502956e+04 9.7854140345375436e+03 2.8502059468803659e+03 -3.4675166074484277e+03 -9.2658045331292833e+03 -1.5024634590988837e+04 -2.0406362671714724e+04 -2.5523763336466785e+04 -3.0490814307970293e+04 -3.5425267960996731e+04 -4.0451694416161430e+04 -4.5705261111524866e+04 -5.1336632944577002e+04 -5.7518618544069206e+04 -6.4455038654389486e+04 -7.2395230657304128e+04 -8.1648358187475780e+04 -9.2609671401176965e+04 -1.0580836426108256e+05 -1.2195554578202900e+05 -1.4203950337916476e+05 -1.6746061652896006e+05 -2.0025076854727152e+05 -2.4341116082124982e+05 -3.0141301439634123e+05 -3.8087101888771035e+05 -4.9121108415266016e+05 -6.4486735062320624e+05 -8.5616682256803883e+05 -1.1381919384315596e+06 -1.4978053329181152e+06 -1.9305273844669068e+06 -2.4179116442500837e+06 -2.9291250381046012e+06 -3.4270424097965029e+06 -3.8763897239574585e+06 -4.2510249439540794e+06 -4.5382756502356175e+06 -4.7395545417124247e+06 -4.8666668303224593e+06 -4.9374281384870755e+06 -4.9703614195954623e+06 -4.9810993083679685e+06 -4.9805802710005520e+06 -4.9769751150622396e+06 -4.9721210407943344e+06 -4.9666410768833710e+06 -4.9606942701044790e+06 -4.9544925177957006e+06 -4.9479487404845553e+06 -4.9410680297704395e+06 -4.9335737340161894e+06 -4.9255522067580856e+06 -4.9168557726167971e+06 -4.9073689993099170e+06 -4.8969516090056635e+06 -4.8854455810342766e+06 -4.8726697620804477e+06 -4.8584245493226601e+06 -4.8424914447709555e+06 -4.8246261197973303e+06 -4.8045691560462750e+06 -4.7820413633570457e+06 -4.7567548094190592e+06 -4.7284207092416845e+06 -4.6967638757699896e+06 -4.6616104702036642e+06 -4.6226503842214169e+06 -4.5798875073227137e+06 -4.5334207630772730e+06 -4.4836146293782769e+06 -4.4310893256410072e+06 -4.3770254818132538e+06 -4.3232206203182312e+06 -4.2723531851305319e+06 -4.2283190272154901e+06 -4.1966650950558186e+06 -4.1853240775938975e+06 -4.2056891591201965e+06 -4.2744727409808235e+06 -4.4169923630062155e+06 -4.6733521966232201e+06 -5.1107597687093737e+06 1.2231861216009122e+05 +2.1522295621597687e-02 2.1603519251036829e+04 1.7119441384412497e+05 4.2761171799204039e+05 7.5978091627445898e+05 1.0831903703035382e+06 1.2706288352856380e+06 1.2648007883559901e+06 1.1595585440821243e+06 1.0509934388834198e+06 9.5838449689533236e+05 8.7003423562688706e+05 7.8430058108595724e+05 7.0353359684799379e+05 6.2853562372869859e+05 5.5907777707525657e+05 4.9557726086998841e+05 4.3832030738903472e+05 3.8691432248134172e+05 3.4079779040330800e+05 2.9943936993303726e+05 2.6237481539127487e+05 2.2952925955494406e+05 2.0380672279445842e+05 1.9119848405663652e+05 1.8075736653068467e+05 1.6132348862703732e+05 1.3937565630393481e+05 1.1904002984528015e+05 1.0078300265585657e+05 8.4442839931690731e+04 6.9820667259910260e+04 5.6732374467994865e+04 4.5010523474734990e+04 3.4502663696002986e+04 2.5069478536887531e+04 1.6583015743763470e+04 8.9250323938129477e+03 1.9854292977570040e+03 -4.3392434739781766e+03 -1.0147235744171696e+04 -1.5919859679502382e+04 -2.1319271027674364e+04 -2.6458760862290903e+04 -3.1452950483684253e+04 -3.6420389701492888e+04 -4.1486635753977418e+04 -4.6788081446096367e+04 -5.2476921855404544e+04 -5.8727894396483382e+04 -6.5747272408425837e+04 -7.3787580208588872e+04 -8.3162115520116480e+04 -9.4271594745547205e+04 -1.0765269553992462e+05 -1.2402673038004001e+05 -1.4439629086670367e+05 -1.7018205848619723e+05 -2.0344523952952170e+05 -2.4722975698829768e+05 -3.0606873337749601e+05 -3.8666392289502610e+05 -4.9855522318897641e+05 -6.5430785520831612e+05 -8.6836814963878493e+05 -1.1538803847261013e+06 -1.5176656783985968e+06 -1.9550786650812242e+06 -2.4474032900176453e+06 -2.9634852815799261e+06 -3.4658935989890359e+06 -3.9191170239964761e+06 -4.2968740095711630e+06 -4.5864577253422746e+06 -4.7893406748191984e+06 -4.9174494607245373e+06 -4.9887544267715309e+06 -5.0219301893344373e+06 -5.0327345806053448e+06 -5.0321928476123028e+06 -5.0285457017667489e+06 -5.0236394854513798e+06 -5.0181020869029956e+06 -5.0120934594813725e+06 -5.0058273939653449e+06 -4.9992158037990527e+06 -4.9922637919828631e+06 -4.9846918454801748e+06 -4.9765872050888352e+06 -4.9678006647834210e+06 -4.9582155963620655e+06 -4.9476902685833946e+06 -4.9360650233390536e+06 -4.9231568320263503e+06 -4.9087640146539100e+06 -4.8926658224170739e+06 -4.8746153894933313e+06 -4.8543506094243368e+06 -4.8315893994241124e+06 -4.8060408439104408e+06 -4.7774131655933456e+06 -4.7454283277719039e+06 -4.7099106818201533e+06 -4.6705469189314675e+06 -4.6273409635110321e+06 -4.5803927639262192e+06 -4.5300705747073554e+06 -4.4770010416133506e+06 -4.4223770272800969e+06 -4.3680146803176198e+06 -4.3166201887243846e+06 -4.2721297810772648e+06 -4.2401478742324775e+06 -4.2286893510250375e+06 -4.2492654409535499e+06 -4.3187617059742287e+06 -4.4627580079750456e+06 -4.7217740437165638e+06 -5.1637136357487412e+06 1.2382282446206050e+05 +2.1654942656204004e-02 2.0737062183222817e+04 1.7016424622523246e+05 4.2630233703238424e+05 7.5810951940652647e+05 1.0811661688583191e+06 1.2684011125589379e+06 1.2625817784146564e+06 1.1574572586334264e+06 1.0490136759263908e+06 9.5650907042882277e+05 8.6825857587420312e+05 7.8262172043714754e+05 7.0194588902567804e+05 6.2703246789398359e+05 5.5765274450200680e+05 4.9422344536156551e+05 4.3703051196998719e+05 3.8568179388540098e+05 3.3961639628756105e+05 2.9830356472816644e+05 2.6127956880136541e+05 2.2846970195369085e+05 2.0277557222155287e+05 1.9018364873697018e+05 1.7975676576760010e+05 1.6034434552190511e+05 1.3841909639802962e+05 1.1810353104083137e+05 9.9863664701409798e+04 8.3537917585704825e+04 6.8927583200103647e+04 5.5848686341064815e+04 4.4133887734405485e+04 3.3630798901789771e+04 2.4200127704590253e+04 1.5713907234487659e+04 8.0538385038247943e+03 1.1097217723383785e+03 -5.2220421042374619e+03 -1.1039905978296256e+04 -1.6826538312456778e+04 -2.2243890175322125e+04 -2.7405777164174484e+04 -3.2427473640648492e+04 -3.7428338160309257e+04 -4.2534928684125873e+04 -4.7884879906917740e+04 -5.3631937371942040e+04 -5.9952792506986982e+04 -6.7056202971498889e+04 -7.5197920856723693e+04 -8.4695430551614656e+04 -9.5954983801055976e+04 -1.0952083609894193e+05 -1.2612463130845620e+05 -1.4678344388093532e+05 -1.7293850904702090e+05 -2.0668071398212857e+05 -2.5109720805983606e+05 -3.1078370214271371e+05 -3.9252987542948627e+05 -5.0599052060289850e+05 -6.6386258644699969e+05 -8.8071166837261629e+05 -1.1697427451949068e+06 -1.5377332117757914e+06 -1.9798691989537431e+06 -2.4771625445736176e+06 -2.9981361954742223e+06 -3.5050528161837687e+06 -3.9621645464080544e+06 -4.3430513542459253e+06 -4.6349731026600851e+06 -4.8394630389770688e+06 -4.9685698408931028e+06 -5.0404190762122106e+06 -5.0738373746452555e+06 -5.0847080097090965e+06 -5.0841431642589476e+06 -5.0804536820078082e+06 -5.0754949539315039e+06 -5.0698997348937681e+06 -5.0638288792606425e+06 -5.0574980789922187e+06 -5.0508182322197864e+06 -5.0437944527146537e+06 -5.0361443475015890e+06 -5.0279560502875438e+06 -5.0190788143973062e+06 -5.0093948078605179e+06 -4.9987608365390021e+06 -4.9870155941599756e+06 -4.9739741646072315e+06 -4.9594327769230949e+06 -4.9431684170781113e+06 -4.9249316653123815e+06 -4.9044577094796607e+06 -4.8814615552592548e+06 -4.8556492842757683e+06 -4.8267261073598154e+06 -4.7944111195726721e+06 -4.7585268504065061e+06 -4.7187567699402431e+06 -4.6751048375777779e+06 -4.6276720331954360e+06 -4.5768304126629457e+06 -4.5232130901190443e+06 -4.4680252409125231e+06 -4.4131017617157744e+06 -4.3611767658441477e+06 -4.3162271239043484e+06 -4.2839150969282081e+06 -4.2723382993504144e+06 -4.2931267780109439e+06 -4.3633403881904827e+06 -4.5088230298592485e+06 -4.7705126433110628e+06 -5.2170139005185226e+06 1.2534548351593225e+05 +2.1788407226081614e-02 1.9861153940827688e+04 1.6912484909433190e+05 4.2498409912714851e+05 7.5642971503763774e+05 1.0791339856649728e+06 1.2661656023211272e+06 1.2603548593362663e+06 1.1553478192350899e+06 1.0470255112145088e+06 9.5462502682584489e+05 8.6647409309469874e+05 7.8093384744137921e+05 7.0034899677426019e+05 6.2551997403208259e+05 5.5621823829361086e+05 4.9286003826107888e+05 4.3573102319369017e+05 3.8443948420591885e+05 3.3842514590669563e+05 2.9715783877019561e+05 2.6017434608019603e+05 2.2740011993782682e+05 2.0173434869717321e+05 1.8915867363997144e+05 1.7874594890688543e+05 1.5935492564936753e+05 1.3745221085432431e+05 1.1715666220179260e+05 9.8933913915305835e+04 8.2622539356196590e+04 6.8023998162243894e+04 5.4954448245091779e+04 4.3246647172666533e+04 3.2748266458140231e+04 2.3320036111205736e+04 1.4833972019834666e+04 7.1717162866113904e+03 2.2296541644318270e+02 -6.1160325864197612e+03 -1.1943937758284903e+04 -1.7744796021918963e+04 -2.3180349137725698e+04 -2.8364945328879414e+04 -3.3414521612041921e+04 -3.8449256732665235e+04 -4.3596723141398877e+04 -4.8995814144483229e+04 -5.4801846282045350e+04 -6.1193490529965682e+04 -6.8382020982511021e+04 -7.6626458844527646e+04 -8.6248528392628592e+04 -9.7660086651847712e+04 -1.1141306223463251e+05 -1.2824955983185732e+05 -1.4920131748672927e+05 -1.7573037876070602e+05 -2.0995767351504229e+05 -2.5501408736759922e+05 -3.1555861235729384e+05 -3.9846971842467791e+05 -5.1351800194242469e+05 -6.7353277985790279e+05 -8.9319883220930793e+05 -1.1857806714363506e+06 -1.5580097341550891e+06 -2.0049008683378140e+06 -2.5071912991355462e+06 -3.0330796193996877e+06 -3.5445218101781169e+06 -4.0055339335140940e+06 -4.3895585177137963e+06 -4.6838232359065767e+06 -4.8899230236324314e+06 -5.0200293170456262e+06 -5.0924234067222355e+06 -5.1260842808321323e+06 -5.1370208932781192e+06 -5.1364325143593252e+06 -5.1327003471748708e+06 -5.1276887359417751e+06 -5.1220353089798763e+06 -5.1159018159842659e+06 -5.1095058577812584e+06 -5.1027573089571921e+06 -5.0956612933782283e+06 -5.0879325195639580e+06 -5.0796600197681570e+06 -5.0706914966111705e+06 -5.0609079065047354e+06 -5.0501645828602416e+06 -5.0382985605067331e+06 -5.0251230235224972e+06 -5.0104320961345136e+06 -4.9940004846085124e+06 -4.9755761984846527e+06 -4.9548917022484299e+06 -4.9316590710484013e+06 -4.9055813641423378e+06 -4.8763607608243395e+06 -4.8437134692450510e+06 -4.8074601849157000e+06 -4.7672811360899862e+06 -4.7231803172825482e+06 -4.6752597465942977e+06 -4.6238953060338804e+06 -4.5697266203266038e+06 -4.5139712578563895e+06 -4.4584829857061496e+06 -4.4060240244921912e+06 -4.3606121522783712e+06 -4.3279678515135767e+06 -4.3162720080037927e+06 -4.3372742609999245e+06 -4.4082098961785678e+06 -4.5551885741712097e+06 -4.8195692074016221e+06 -5.2706618884429140e+06 1.2688681458684606e+05 +2.1922694369895135e-02 1.8975676595578938e+04 1.6807609591546148e+05 4.2365687432513345e+05 7.5474140489866154e+05 1.0770937169641010e+06 1.2639221722118938e+06 1.2581199242073072e+06 1.1532301071306486e+06 1.0450288319342993e+06 9.5273225286933652e+05 8.6468067621608532e+05 7.7923685151243757e+05 6.9874281044706004e+05 6.2399803326568555e+05 5.5477414994387899e+05 4.9148693136400235e+05 4.3442173308844713e+05 3.8318728557516157e+05 3.3722393143068103e+05 2.9600208418405551e+05 2.5905903922485359e+05 2.2632040532249276e+05 2.0068294395705522e+05 1.8812345088628627e+05 1.7772480854727040e+05 1.5835512159075701e+05 1.3647489192409517e+05 1.1619931511152371e+05 9.7993641507780019e+04 8.1696595777040769e+04 6.7109801897774232e+04 5.4049549036790544e+04 4.2348689630090877e+04 3.1854953055578128e+04 2.2429089147175109e+04 1.3943094020123261e+04 6.2785479973773181e+03 -6.7495940487887890e+02 -7.0213367069597589e+03 -1.2859455326741579e+04 -1.8674760088379477e+04 -2.4128778721386057e+04 -2.9336400269425481e+04 -3.4414234109038174e+04 -3.9483290754185939e+04 -4.4672171075997321e+04 -5.0121043914333946e+04 -5.5986817586047422e+04 -6.2450168461316149e+04 -6.9724919576697808e+04 -7.8073403097615170e+04 -8.7821637062601774e+04 -9.9387154566427431e+04 -1.1332965376761813e+05 -1.3040183116049341e+05 -1.5165027122377872e+05 -1.7855808332145459e+05 -2.1327660573291595e+05 -2.5898097531456783e+05 -3.2039416408988560e+05 -4.0448430379870674e+05 -5.2113870446779369e+05 -6.8331968433466705e+05 -9.0583110929466703e+05 -1.2019958305184476e+06 -1.5784970622334047e+06 -2.0301755706825943e+06 -2.5374914594595693e+06 -3.0683174068163582e+06 -3.5843023430804694e+06 -4.0492268405666957e+06 -4.4363970524251079e+06 -4.7330095913965292e+06 -4.9407220307750599e+06 -5.0718292478933353e+06 -5.1447687507010698e+06 -5.1786722256554626e+06 -5.1896745413614307e+06 -5.1890622037629345e+06 -5.1852870010887627e+06 -5.1802221335816886e+06 -5.1745101096802130e+06 -5.1683135685671186e+06 -5.1618520276192315e+06 -5.1550343295733128e+06 -5.1478656077404190e+06 -5.1400576534669781e+06 -5.1317004032246945e+06 -5.1226399988355562e+06 -5.1127561772179380e+06 -5.1019027897559619e+06 -5.0899152015671777e+06 -5.0766046846254012e+06 -5.0617632443991918e+06 -5.0451632929721856e+06 -5.0265502522760592e+06 -5.0056538457428580e+06 -4.9821831989184907e+06 -4.9558383290078379e+06 -4.9263183640625663e+06 -4.8933366065731458e+06 -4.8567119059229642e+06 -4.8161212277701404e+06 -4.7715686018096879e+06 -4.7231570911352132e+06 -4.6712664288008492e+06 -4.6165427924647722e+06 -4.5602162241805345e+06 -4.5041594842682919e+06 -4.4511630833255425e+06 -4.4052859733210625e+06 -4.3723072368292045e+06 -4.3604915728541529e+06 -4.3817089911278775e+06 -4.4533713491541948e+06 -4.6018557974384241e+06 -4.8689449596515866e+06 -5.3246589376981286e+06 1.2844704567301203e+05 +2.2057809157363672e-02 1.8080510473402133e+04 1.6701787335969522e+05 4.2232055725227232e+05 7.5304446824996162e+05 1.0750452247371392e+06 1.2616707260064471e+06 1.2558768413760858e+06 1.1511040103328349e+06 1.0430235237089589e+06 9.5083063270449464e+05 8.6287821244252229e+05 7.7753062024552585e+05 6.9712721877134510e+05 6.2246653497697553e+05 5.5332036931538000e+05 4.9010401483331242e+05 4.3310253204437677e+05 3.8192508851093450e+05 3.3601264341162163e+05 2.9483619147252396e+05 2.5793353860961896e+05 2.2523044830223266e+05 1.9962124811520643e+05 1.8707787096525388e+05 1.7669323564665645e+05 1.5734482428166072e+05 1.3548703021241949e+05 1.1523137990713063e+05 9.7042737042112713e+04 8.0759975734740801e+04 6.6184882509791831e+04 5.3133875922428568e+04 4.1439901293490628e+04 3.0950743726072757e+04 2.1527170537927916e+04 1.3041155481928516e+04 5.3742142063431002e+03 -1.5841740258862180e+03 -7.9380779694933199e+03 -1.3786584665535916e+04 -1.9616559560696460e+04 -2.5089311536880705e+04 -3.0320278746341453e+04 -3.5426752742847668e+04 -4.0530587523831251e+04 -4.5761426477438268e+04 -5.1260731102557169e+04 -5.7187022524166328e+04 -6.3723008667257061e+04 -7.1085094416396314e+04 -7.9538965257938500e+04 -8.9414987526340818e+04 -1.0113644203811200e+05 -1.1527089408659181e+05 -1.3258176449999673e+05 -1.5413066916318171e+05 -1.8142204363187455e+05 -2.1663800431000441e+05 -2.6299845946066728e+05 -3.2529106591584062e+05 -4.1057449356877443e+05 -5.2885367727530922e+05 -6.9322456228460767e+05 -9.1860998261732119e+05 -1.2183899051052115e+06 -1.5991970284181433e+06 -2.0556952187477474e+06 -2.5680649459339436e+06 -3.1038514251355091e+06 -3.6243961903768610e+06 -4.0932449358326425e+06 -4.4835685236511547e+06 -4.7825336481503733e+06 -4.9918614750296175e+06 -5.1239710047688056e+06 -5.1974564531450570e+06 -5.2316025394438552e+06 -5.2426702765593845e+06 -5.2420335508389575e+06 -5.2382149600735726e+06 -5.2330964614673750e+06 -5.2273254499970051e+06 -5.2210654483946767e+06 -5.2145378982329927e+06 -5.2076506020744294e+06 -5.2004087019775202e+06 -5.1925210534016276e+06 -5.1840785027308678e+06 -5.1749256208572760e+06 -5.1649409172801599e+06 -5.1539767517405096e+06 -5.1418668088172600e+06 -5.1284204360063663e+06 -5.1134275060460847e+06 -5.0966581222709818e+06 -5.0778551020827834e+06 -5.0567454100604132e+06 -5.0330352029981278e+06 -5.0064214363270989e+06 -4.9766001670394745e+06 -4.9432817731614206e+06 -4.9062832457350288e+06 -4.8652782669763733e+06 -4.8202709018550590e+06 -4.7713652652357966e+06 -4.7189449662059946e+06 -4.6636627778817918e+06 -4.6067612969516991e+06 -4.5501324002507897e+06 -4.4965950717376191e+06 -4.4502497047984144e+06 -4.4169343622629000e+06 -4.4049981002965039e+06 -4.4264320801694673e+06 -4.4988258770752717e+06 -4.6488258673052210e+06 -4.9186411354587236e+06 -5.3790063993047252e+06 1.3002640753853261e+05 +2.2193756689452220e-02 1.7175534332663683e+04 1.6595005648807506e+05 4.2097501418493135e+05 7.5133876779547811e+05 1.0729884163906607e+06 1.2594111263157574e+06 1.2536255091362451e+06 1.1489694115924092e+06 1.0410094697560300e+06 9.4892004968102102e+05 8.6106658739342215e+05 7.7581503987395344e+05 6.9550210877863201e+05 6.2092536680432188e+05 5.5185678460731660e+05 4.8871117719053361e+05 4.3177330879969156e+05 3.8065278190138144e+05 3.3479117076427967e+05 2.9366004950161849e+05 2.5679773296972743e+05 2.2413013743469224e+05 1.9854914964556016e+05 1.8602182271965634e+05 1.7565111950562647e+05 1.5632392299661646e+05 1.3448851466244721e+05 1.1425274506271511e+05 9.6081088418662388e+04 7.9812566451876308e+04 6.5249126436038627e+04 5.2207314440634393e+04 4.0520166678528549e+04 3.0035521825588938e+04 2.0614162326049696e+04 1.2128036960004647e+04 4.4585937802962972e+03 -2.5048014989309700e+03 -8.8663816140140261e+03 -1.4725453515325542e+04 -2.0570325276140804e+04 -2.6062082019571371e+04 -3.1316719389027472e+04 -3.6452221047023952e+04 -4.1591296327164724e+04 -4.6864645398909815e+04 -5.2415039751295742e+04 -5.8402634603065337e+04 -6.5012195913197145e+04 -7.2462743722365907e+04 -8.1023359717281885e+04 -9.1028813730606897e+04 -1.0290820682507769e+05 -1.1723707019389584e+05 -1.3478968310210126e+05 -1.5664287996444243e+05 -1.8432268586929300e+05 -2.2004236906552152e+05 -2.6706713461098925e+05 -3.3025003501563193e+05 -4.1674115996721311e+05 -5.3666398142996489e+05 -7.0324868976048520e+05 -9.3153695014161849e+05 -1.2349645935875094e+06 -1.6201114809429843e+06 -2.0814617407059411e+06 -2.5989136936826529e+06 -3.1396835557957459e+06 -3.6648051410368616e+06 -4.1375899006903027e+06 -4.5310745095460992e+06 -4.8323968979703598e+06 -5.0433427837729575e+06 -5.1764559717041897e+06 -5.2504878717281492e+06 -5.2848765651893830e+06 -5.2960094341121893e+06 -5.2953478865835518e+06 -5.2914855530579211e+06 -5.2863130467971666e+06 -5.2804826555210957e+06 -5.2741587794164261e+06 -5.2675647919023251e+06 -5.2606074469869696e+06 -5.2532918947832650e+06 -5.2453240360637167e+06 -5.2367956328385398e+06 -5.2275496748999488e+06 -5.2174634363865601e+06 -5.2063877757343203e+06 -5.1941546861085929e+06 -5.1805715781112779e+06 -5.1654261777159581e+06 -5.1484862648949875e+06 -5.1294920355246291e+06 -5.1081676774563929e+06 -5.0842163595403982e+06 -5.0573319555975199e+06 -5.0272074316924158e+06 -4.9935502224891754e+06 -4.9561754484526329e+06 -4.9147534874166334e+06 -4.8692884397151526e+06 -4.8198854787922641e+06 -4.7669321148512838e+06 -4.7110877591777351e+06 -4.6536076443243558e+06 -4.5964028874448780e+06 -4.5423211299548680e+06 -4.4955044751735032e+06 -4.4618503478350397e+06 -4.4497927073210804e+06 -4.4714446505526500e+06 -4.5445746207294883e+06 -4.6960999625793323e+06 -4.9686589820695780e+06 -5.4337056372328494e+06 1.3162513374661808e+05 +2.2330542098564235e-02 1.6260625575884307e+04 1.6487252435871432e+05 4.1962012310606480e+05 7.4962419300438114e+05 1.0709231356134582e+06 1.2571432628641855e+06 1.2513657959112513e+06 1.1468261894815103e+06 1.0389865517682862e+06 9.4700038756148471e+05 8.5924568463865260e+05 7.7408999535762216e+05 6.9386736583674571e+05 6.1937441469394590e+05 5.5038328233547695e+05 4.8730830531096767e+05 4.3043395042540925e+05 3.7937025298301224e+05 3.3355940075064806e+05 2.9247354548248596e+05 2.5565150938585904e+05 2.2301935962441584e+05 1.9746653536771020e+05 1.8495519332885169e+05 1.7459834775069778e+05 1.5529230533220494e+05 1.3347923253752149e+05 1.1326329737330390e+05 9.5108581857626108e+04 7.8854253470147829e+04 6.4302418431664286e+04 5.1269748445020690e+04 3.9589368612217368e+04 2.9109169016145002e+04 1.9689944853131172e+04 1.1203617298878258e+04 3.5315638639280673e+03 -3.4369666134724430e+03 -9.8063746362591664e+03 -1.5676191395509675e+04 -2.1536189880914026e+04 -2.7047226450602939e+04 -3.2325862717577773e+04 -3.7490784499956651e+04 -4.2665568459838578e+04 -4.7981985982040351e+04 -5.3584136084799851e+04 -5.9633829623770049e+04 -6.6317917393237789e+04 -7.3858068305051827e+04 -8.2526803651547569e+04 -9.2663352641600155e+04 -1.0470270999161161e+05 -1.1922847275062535e+05 -1.3702591431524820e+05 -1.5918727693325267e+05 -1.8726044155108809e+05 -2.2349020603966349e+05 -2.7118760290440067e+05 -3.3527179727965093e+05 -4.2298518555773818e+05 -5.4457069009033043e+05 -7.1339335659941169e+05 -9.4461352494733012e+05 -1.2517216102113319e+06 -1.6412422839923082e+06 -2.1074770802463870e+06 -2.6300396526620481e+06 -3.1758156943744579e+06 -3.7055309976041960e+06 -4.1822634297144506e+06 -4.5789166012612153e+06 -4.8826008455440300e+06 -5.0951673971884819e+06 -5.2292855455312105e+06 -5.3038643768902840e+06 -5.3384956586386049e+06 -5.3496933619871205e+06 -5.3490065547060305e+06 -5.3451001216829922e+06 -5.3398732294585211e+06 -5.3339830644985531e+06 -5.3275948982316023e+06 -5.3209340435494902e+06 -5.3139061974666333e+06 -5.3065165174513729e+06 -5.2984679307291834e+06 -5.2898531206683815e+06 -5.2805134857411142e+06 -5.2703250567563083e+06 -5.2591371811494129e+06 -5.2467801497496907e+06 -5.2330594238077477e+06 -5.2177605684285909e+06 -5.2006490255773216e+06 -5.1814623525190111e+06 -5.1599219424548000e+06 -5.1357279569931729e+06 -5.1085711684577307e+06 -5.0781414320260026e+06 -5.0441432200361835e+06 -5.0063897700769976e+06 -4.9645481345882844e+06 -4.9186224493644936e+06 -4.8687189532594588e+06 -4.8152290827757837e+06 -4.7588189302243190e+06 -4.7007564456217866e+06 -4.6429721106823115e+06 -4.5883424090859182e+06 -4.5410514236962972e+06 -4.5070563242744179e+06 -4.4948765215977579e+06 -4.5167478354338603e+06 -4.5906187318008617e+06 -4.7436792733536903e+06 -5.0189997586409636e+06 -5.4887580284818923e+06 1.3324346069319709e+05 +2.2468170548735397e-02 1.5335659893986525e+04 1.6378515255447937e+05 4.1825576407838170e+05 7.4790060824327962e+05 1.0688492939854248e+06 1.2548670031989005e+06 1.2490975790163192e+06 1.1446742213675855e+06 1.0369546485682402e+06 9.4507152936945623e+05 8.5741538593190082e+05 7.7235536996629008e+05 6.9222287372935656e+05 6.1781356294622016e+05 5.4889974733216560e+05 4.8589528440869373e+05 4.2908434232064127e+05 3.7807738732401282e+05 3.3231721896009793e+05 2.9127656495330564e+05 2.5449475326646445e+05 2.2189800010529550e+05 1.9637329042851116e+05 1.8387786829196973e+05 1.7353480631848704e+05 1.5424985719037772e+05 1.3245906940587389e+05 1.1226292193705763e+05 9.4125101882207193e+04 7.7884920633098853e+04 6.3344641552092005e+04 5.0321060086515172e+04 3.8647388215019797e+04 2.8171565247862465e+04 1.8754396741616209e+04 1.0267773614341926e+04 2.5929998609275199e+03 -4.3807959153331021e+03 -1.0758185807415153e+04 -1.6638929624210927e+04 -2.2514287850673256e+04 -2.8044882978182100e+04 -3.3347851164696709e+04 -3.8542590547711341e+04 -4.3753557251352780e+04 -4.9113608481607691e+04 -5.4768188535569228e+04 -6.0880785709282653e+04 -6.7640362759655181e+04 -7.5271271596678038e+04 -8.4049517055160381e+04 -9.4318844282209815e+04 -1.0652021594973537e+05 -1.2124539612242344e+05 -1.3929078963638385e+05 -1.6176423807952792e+05 -1.9023574760161579e+05 -2.2698202757113715e+05 -2.7536047390221909e+05 -3.4035708741007309e+05 -4.2930746335435682e+05 -5.5257488864353509e+05 -7.2365986655991734e+05 -9.5784123536373815e+05 -1.2686626852105833e+06 -1.6625913178142770e+06 -2.1337431966924965e+06 -2.6614447877564486e+06 -3.2122497506595338e+06 -3.7465755762692839e+06 -4.2272672307731602e+06 -4.6270964030104512e+06 -4.9331470085265255e+06 -5.1473367683881791e+06 -5.2824611359590618e+06 -5.3575873519452056e+06 -5.3924611883772351e+06 -5.4037234209841192e+06 -5.4030109117164118e+06 -5.3990600203649355e+06 -5.3937783621113095e+06 -5.3878280279533602e+06 -5.3813751541927168e+06 -5.3746470008258726e+06 -5.3675481993805245e+06 -5.3600839139755443e+06 -5.3519540793481823e+06 -5.3432523059886945e+06 -5.3338183907902418e+06 -5.3235271132119307e+06 -5.3122262999753691e+06 -5.2997445286054900e+06 -5.2858852984821182e+06 -5.2704319997030478e+06 -5.2531477214990137e+06 -5.2337673653808394e+06 -5.2120095119136171e+06 -5.1875712960879011e+06 -5.1601403687592428e+06 -5.1294034541810378e+06 -5.0950620433432488e+06 -5.0569274785833731e+06 -5.0146634658802915e+06 -4.9682741765539031e+06 -4.9178669217423145e+06 -4.8638370895430474e+06 -4.8068574963039076e+06 -4.7482088914089613e+06 -4.6898412458871882e+06 -4.6346600712263500e+06 -4.5868917004829776e+06 -4.5525534330760054e+06 -4.5402506815491552e+06 -4.5623427787771430e+06 -4.6369593729636362e+06 -4.7915650010644635e+06 -5.0696647363490602e+06 -5.5441649631901551e+06 1.3488162764092255e+05 +2.2606647235828569e-02 1.4400511574789680e+04 1.6268781544679846e+05 4.1688180948048731e+05 7.4616790373287967e+05 1.0667667310143800e+06 1.2525822253945849e+06 1.2468207326633162e+06 1.1425133817132073e+06 1.0349136397832806e+06 9.4313335409977846e+05 8.5557557148796844e+05 7.7061104504715302e+05 6.9056851464915590e+05 6.1624269420801650e+05 5.4740606275357981e+05 4.8447199802617991e+05 4.2772436820091074e+05 3.7677406880559999e+05 3.3106450929213379e+05 2.9006899176083063e+05 2.5332734833124618e+05 2.2076594242380920e+05 1.9526929828651957e+05 1.8278973141167779e+05 1.7246037943798362e+05 1.5319646276194864e+05 1.3142790912233313e+05 1.1125150213883609e+05 9.3130531301252340e+04 7.6904450068653096e+04 6.2375677135043246e+04 4.9361129795777211e+04 3.7694104882927211e+04 2.7222588740627154e+04 1.7807394876090464e+04 9.3203812745195028e+03 1.6427754148259294e+03 -5.3364177262228941e+03 -1.1721945693968199e+04 -1.7613801338720357e+04 -2.3504755511466799e+04 -2.9055191639028828e+04 -3.4382829097949332e+04 -3.9607788627023969e+04 -4.4855418089054394e+04 -5.0259675290787804e+04 -5.5967367770959798e+04 -6.2143683332757202e+04 -6.8979724153001618e+04 -7.6702559683397834e+04 -8.5591722775996110e+04 -9.5995531770482965e+04 -1.0836099250025269e+05 -1.2328813842635974e+05 -1.4158464476278311e+05 -1.6437414617679606e+05 -1.9324904641951461e+05 -2.3051835237392297e+05 -2.7958636467990518e+05 -3.4550664902628434e+05 -4.3570889693953976e+05 -5.6067767483239237e+05 -7.3404953745940514e+05 -9.7122162511130353e+05 -1.2857895649362684e+06 -1.6841604788436575e+06 -2.1602620651018107e+06 -2.6931310788765550e+06 -3.2489876487553464e+06 -3.7879407069750479e+06 -4.2726030250966437e+06 -4.6756155321874255e+06 -4.9840369176293174e+06 -5.1998523634898020e+06 -5.3359841656787293e+06 -5.4116581931507010e+06 -5.4467745359207867e+06 -5.4581009848116599e+06 -5.4573623270263961e+06 -5.4533666164137674e+06 -5.4480298102883957e+06 -5.4420189097387241e+06 -5.4355009094806695e+06 -5.4287050241921572e+06 -5.4215348113984428e+06 -5.4139954411317231e+06 -5.4057838366469052e+06 -5.3969945413175076e+06 -5.3874657401681077e+06 -5.3770709532814892e+06 -5.3656564768775469e+06 -5.3530491641730871e+06 -5.3390505401339475e+06 -5.3234418056198116e+06 -5.3059836823644452e+06 -5.2864083989155730e+06 -5.2644317051299298e+06 -5.2397476899406370e+06 -5.2120408626735816e+06 -5.1809947965487987e+06 -5.1463079820981687e+06 -5.1077898540045405e+06 -5.0651007506162059e+06 -5.0182448788772188e+06 -4.9673306290803356e+06 -4.9127573663041713e+06 -4.8552046741488380e+06 -4.7959661835769024e+06 -4.7370114801825946e+06 -4.6812752895256756e+06 -4.6330264665962169e+06 -4.5983428266086522e+06 -4.5859163364291526e+06 -4.6082306354241883e+06 -4.6835977179460283e+06 -4.8397583585767001e+06 -5.1206551984500242e+06 -5.5999278447089763e+06 1.3653987675357060e+05 +2.2745977387729956e-02 1.3455053240924053e+04 1.6158038366784243e+05 4.1549813415116508e+05 7.4442593622099317e+05 1.0646753332886470e+06 1.2502888045576504e+06 1.2445351410437285e+06 1.1403435506633664e+06 1.0328634035274239e+06 9.4118573892376211e+05 8.5372611985430412e+05 7.6885690025675634e+05 6.8890416909517674e+05 6.1466168946218211e+05 5.4590211008230632e+05 4.8303832801794761e+05 4.2635391009468515e+05 3.7546017960309342e+05 3.2980115393871878e+05 2.8885070804344531e+05 2.5214917659302134e+05 2.1962306842100350e+05 1.9415444069365889e+05 1.8169066477629912e+05 1.7137494961415930e+05 1.5213200450869056e+05 1.3038563381194040e+05 1.1022891963254489e+05 9.2124751191671676e+04 7.5912722171477129e+04 6.1395404782839338e+04 4.8389836264879079e+04 3.6729396269000106e+04 2.6262115965554149e+04 1.6848814384590980e+04 8.3613138808510648e+03 6.8076238959795648e+02 -6.3039621634726309e+03 -1.2697786677905209e+04 -1.8600941516035891e+04 -2.4507731060906845e+04 -3.0078294380244111e+04 -3.5430942842215758e+04 -4.0686530188794823e+04 -4.5971308442583744e+04 -5.1420350966766644e+04 -5.7181846719830944e+04 -6.3422705345991126e+04 -7.0336196232134607e+04 -7.8152141337741094e+04 -8.7153646550642734e+04 -9.7693661357721343e+04 -1.1022531087613593e+05 -1.2535700157774863e+05 -1.4390781964491509e+05 -1.6701738882131476e+05 -1.9630078594649822e+05 -2.3409970561790830e+05 -2.8386589991695143e+05 -3.5072123477126285e+05 -4.4219040058620431e+05 -5.6888015889029799e+05 -7.4456370131417864e+05 -9.8475625343823794e+05 -1.3031040119883562e+06 -1.7059516798227008e+06 -2.1870356763723637e+06 -2.7251005210558646e+06 -3.2860313271612688e+06 -3.8296282334929411e+06 -4.3182725473798923e+06 -4.7244756194185577e+06 -5.0352721167023368e+06 -5.2527156616904251e+06 -5.3898560704443166e+06 -5.4660783098095395e+06 -5.5014370958186854e+06 -5.5128274401823832e+06 -5.5120621830257596e+06 -5.5080212901024716e+06 -5.5026289524618508e+06 -5.4965570866744760e+06 -5.4899735392039912e+06 -5.4831094870260404e+06 -5.4758674050761219e+06 -5.4682524685692266e+06 -5.4599585701899910e+06 -5.4510811919973958e+06 -5.4414568968195692e+06 -5.4309579372710474e+06 -5.4194290692767343e+06 -5.4066954106876021e+06 -5.3925564994525891e+06 -5.3767913329142928e+06 -5.3591582504920159e+06 -5.3393867904908676e+06 -5.3171898539096247e+06 -5.2922584641043879e+06 -5.2642739687496880e+06 -5.2329167698292350e+06 -5.1978823382259309e+06 -5.1589781885222802e+06 -5.1158612701846045e+06 -5.0685358258583322e+06 -5.0171113319179984e+06 -4.9619911559066707e+06 -4.9038616920359293e+06 -4.8440295354208825e+06 -4.7844840119500766e+06 -4.7281892482591262e+06 -4.6794568940993678e+06 -4.6444256681767888e+06 -4.6318746463885345e+06 -4.6544125711732414e+06 -4.7305349516186779e+06 -4.8882605702627879e+06 -5.1719724403842967e+06 -5.6560480897193020e+06 1.3821845313086262e+05 +2.2886166264546471e-02 1.2499156325220643e+04 1.6046272981235199e+05 4.1410460580155399e+05 7.4267458695029363e+05 1.0625749843671001e+06 1.2479866075843640e+06 1.2422406694389808e+06 1.1381646047574668e+06 1.0308038124626691e+06 9.3922856045412819e+05 8.5186690826356038e+05 7.6709281381413515e+05 6.8722971578390081e+05 6.1307042803847452e+05 5.4438776912470814e+05 4.8159415453826543e+05 4.2497284832695191e+05 3.7413560016959970e+05 3.2852703336777148e+05 2.8762159421260149e+05 2.5096011834146100e+05 2.1846925821549766e+05 1.9302859767886240e+05 1.8058054874239984e+05 1.7027839761005229e+05 1.5105636314625817e+05 1.2933212385186495e+05 1.0919505432315766e+05 9.1107640880639810e+04 7.4909615584875981e+04 6.0403702344270358e+04 4.7407056429011900e+04 3.5753138264928792e+04 2.5290021626219841e+04 1.5878528619534036e+04 7.3904432487361019e+03 -2.9316914999292408e+02 -7.2835611600501188e+03 -1.3685842977071385e+04 -1.9600486993752034e+04 -2.5523354589527942e+04 -3.1114335081233527e+04 -3.6492340702564907e+04 -4.1778968721526166e+04 -4.7101387888345082e+04 -5.2595802256321527e+04 -5.8411800600021292e+04 -6.4718037008009385e+04 -7.1709976205588377e+04 -7.9620228051728001e+04 -8.8735517039964048e+04 -9.9413482467824375e+04 -1.1211344578449783e+05 -1.2745229133763186e+05 -1.4626065853969019e+05 -1.6969435849323022e+05 -1.9939141973560807e+05 -2.3772661900604339e+05 -2.8819971199042670e+05 -3.5600160641691985e+05 -4.4875289937668294e+05 -5.7718346367559978e+05 -7.5520370448198251e+05 -9.9844669526085083e+05 -1.3206078053500166e+06 -1.7279668499153629e+06 -2.2140660373534323e+06 -2.7573551245492995e+06 -3.3233827388770529e+06 -3.8716400135091362e+06 -4.3642775458585396e+06 -4.7736783086722465e+06 -5.0868541628284752e+06 -5.3059281553745586e+06 -5.4440782991543505e+06 -5.5208491243581511e+06 -5.5564502757218545e+06 -5.5679041868992709e+06 -5.5671118751696264e+06 -5.5630254347516103e+06 -5.5575771801631777e+06 -5.5514439485768480e+06 -5.5447944314794838e+06 -5.5378617756939027e+06 -5.5305473649526974e+06 -5.5228563788904846e+06 -5.5144796604904179e+06 -5.5055136362982402e+06 -5.4957932365642171e+06 -5.4851894383519525e+06 -5.4735454474281799e+06 -5.4606846351942271e+06 -5.4464045399035225e+06 -5.4304819410652518e+06 -5.4126727809100263e+06 -5.3927038901300272e+06 -5.3702853026670525e+06 -5.3451049566970943e+06 -5.3168410180206727e+06 -5.2851706971224351e+06 -5.2497864259764217e+06 -5.2104937865377683e+06 -5.1669463180905748e+06 -5.1191482990359478e+06 -5.0672102987864977e+06 -5.0115397129483586e+06 -4.9528297898730775e+06 -4.8924001717127729e+06 -4.8322600508998930e+06 -4.7754031429102523e+06 -4.7261841661579283e+06 -4.6908031320749987e+06 -4.6781267825603345e+06 -4.7008897628580723e+06 -4.7777722700500889e+06 -4.9370728720783163e+06 -5.2236177698368318e+06 -5.7125271282874728e+06 1.3991760484368305e+05 +2.3027219158804315e-02 1.1532690247306184e+04 1.5933472323349238e+05 4.1270109268250311e+05 7.4091371301890491e+05 1.0604655289352208e+06 1.2456755039250473e+06 1.2399371916717647e+06 1.1359764124041460e+06 1.0287347366045498e+06 9.3726169244218827e+05 8.4999781299457618e+05 7.6531866223690321e+05 6.8554503164987999e+05 6.1146878762163338e+05 5.4286291798910848e+05 4.8013935601111007e+05 4.2358106150521216e+05 3.7280020921595051e+05 3.2724202630584704e+05 2.8638152893511538e+05 2.4976005212482516e+05 2.1730439018503641e+05 1.9189164753030991e+05 1.7945926191755888e+05 1.6917060242886565e+05 1.4996941762632559e+05 1.2826725785358693e+05 1.0814978434938802e+05 9.0079077927393853e+04 7.3895007182562840e+04 5.9400445896010235e+04 4.6412665447958228e+04 3.4765204982190298e+04 2.4306178639604859e+04 1.4896409138390180e+04 6.4076393879565876e+03 -1.2791509582937492e+03 -8.2753484848171211e+03 -1.4686250665854774e+04 -2.0612576491132178e+04 -2.6551768102475351e+04 -3.2163459576166621e+04 -3.7567172987181228e+04 -4.2885259775328188e+04 -4.8245818134444853e+04 -5.3786198121930764e+04 -5.9657406945481416e+04 -6.6029866014242565e+04 -7.3101263861610598e+04 -8.1107034069996967e+04 -9.0337565865405413e+04 -1.0115524773613382e+05 -1.1402567545026702e+05 -1.2957431736087883e+05 -1.4864351006422870e+05 -1.7240545261607834e+05 -2.0252140702137238e+05 -2.4139963085762254e+05 -2.9258844106764480e+05 -3.6134853497320565e+05 -4.5539732932786009e+05 -5.8558872480381292e+05 -7.6597090779873927e+05 -1.0122945413060552e+06 -1.3383027405138612e+06 -1.7502079348361148e+06 -2.2413551709518461e+06 -2.7898969149325113e+06 -3.3610438514735010e+06 -3.9139779187246901e+06 -4.4106197824006770e+06 -4.8232252573356340e+06 -5.1387846264047408e+06 -5.3594913501929762e+06 -5.4986523139478071e+06 -5.5759720724362181e+06 -5.6118154964692686e+06 -5.6233326379354531e+06 -5.6225128120714370e+06 -5.6183804568364937e+06 -5.6128758980294522e+06 -5.6066808983898312e+06 -5.5999649875130150e+06 -5.5929632896460854e+06 -5.5855760886175083e+06 -5.5778085677461457e+06 -5.5693485010712584e+06 -5.5602932654826548e+06 -5.5504761482168837e+06 -5.5397668426595619e+06 -5.5280069945263350e+06 -5.5150182176236333e+06 -5.5005960378196947e+06 -5.4845150023770714e+06 -5.4665286414110595e+06 -5.4463610605866313e+06 -5.4237194084908310e+06 -5.3982885184380235e+06 -5.3697433540686397e+06 -5.3377579140104027e+06 -5.3020215719885239e+06 -5.2623379647660824e+06 -5.2183572000248926e+06 -5.1700835920354025e+06 -5.1176288101936728e+06 -5.0614043038580520e+06 -5.0021102192548085e+06 -4.9410793287715958e+06 -4.8803408181686467e+06 -4.8229181802376015e+06 -4.7732094770891545e+06 -4.7374764036851311e+06 -4.7246739271226749e+06 -4.7476633984061219e+06 -4.8253108806051258e+06 -4.9861965116326688e+06 -5.2755925068368921e+06 -5.7693664039790835e+06 1.4163758296972161e+05 +2.3169141395648789e-02 1.0555522887507967e+04 1.5819623174526665e+05 4.1128746142381855e+05 7.3914319581091485e+05 1.0583468565429971e+06 1.2433553658525916e+06 1.2376245735545766e+06 1.1337788416404026e+06 1.0266560510037000e+06 9.3528500679775409e+05 8.4811870856059855e+05 7.6353431999613054e+05 6.8384999189845694e+05 6.0985664420430327e+05 5.4132743304993864e+05 4.7867380909320503e+05 4.2217842648839112e+05 3.7145388369102922e+05 3.2594600972090161e+05 2.8513038911728514e+05 2.4854885473311396e+05 2.1612834094909421e+05 1.9074346677694004e+05 1.7832668114128365e+05 1.6805144129672545e+05 1.4887104511896422e+05 1.2719091264524960e+05 1.0709298606484639e+05 8.9038938105240770e+04 7.2868772050455082e+04 5.8385509724240183e+04 4.5406536687197331e+04 3.3765468733005153e+04 2.3310458116835940e+04 1.3902325684157817e+04 5.4127704828182368e+03 -2.2773166289331230e+03 -9.2794597630718381e+03 -1.5699147696114098e+04 -2.1637350630555226e+04 -2.7593115541424635e+04 -3.3225815676406753e+04 -3.8655592030790140e+04 -4.4005560986126096e+04 -4.9404763046032938e+04 -5.4991709768277375e+04 -6.0918845634107194e+04 -6.7358382525973168e+04 -7.4510261600392172e+04 -8.2612776423690681e+04 -9.1960027644958202e+04 -1.0291921304940124e+05 -1.1596228165987917e+05 -1.3172339324466969e+05 -1.5105672725026068e+05 -1.7515107362034646e+05 -2.0569121279018579e+05 -2.4511928618766170e+05 -2.9703273520141107e+05 -3.6676280079641921e+05 -4.6212463751328236e+05 -5.9409709078664554e+05 -7.7686668672705966e+05 -1.0263013982482434e+06 -1.3561906296234108e+06 -1.7726768969580105e+06 -2.2689051162389205e+06 -2.8227279331845120e+06 -3.3990166471968773e+06 -3.9566438349106591e+06 -4.4573010325771952e+06 -4.8731181362947691e+06 -5.1910650912257582e+06 -5.4134067651342498e+06 -5.5535795902779372e+06 -5.6314486029949896e+06 -5.6675341921883486e+06 -5.6791142195205623e+06 -5.6782664155890262e+06 -5.6740877760426439e+06 -5.6685265239210771e+06 -5.6622693522527060e+06 -5.6554866217004135e+06 -5.6484154414795935e+06 -5.6409549868119350e+06 -5.6331104439056143e+06 -5.6245664985826956e+06 -5.6154214838966997e+06 -5.6055070336535769e+06 -5.5946915493555972e+06 -5.5828151067593116e+06 -5.5696975508946460e+06 -5.5551323824696951e+06 -5.5388919020617567e+06 -5.5207272126696575e+06 -5.5003596774350433e+06 -5.4774935412327833e+06 -5.4518105127613666e+06 -5.4229823331200536e+06 -5.3906797686371971e+06 -5.3545891153780147e+06 -5.3145120522934496e+06 -5.2700952339886688e+06 -5.2213430106486995e+06 -5.1683681586752543e+06 -5.1115862069771839e+06 -5.0517042435409464e+06 -4.9900682545610163e+06 -4.9287275463643819e+06 -4.8707355783435693e+06 -4.8205340324473586e+06 -4.7844466795367608e+06 -4.7715172733670874e+06 -4.7947346769170072e+06 -4.8731520019901115e+06 -5.0356327482739827e+06 -5.3278979838287216e+06 -5.8265673739434406e+06 1.4337864162953084e+05 +2.3311938333045339e-02 9.5675205356595234e+03 1.5704712091460233e+05 4.0986358351632446e+05 7.3736288707838743e+05 1.0562188177045279e+06 1.2410260604151064e+06 1.2353026789751488e+06 1.1315717655506562e+06 1.0245676267020648e+06 9.3329837444822665e+05 8.4622946700183628e+05 7.6173965966329677e+05 6.8214447006581607e+05 6.0823387198155420e+05 5.3978118890037423e+05 4.7719738863899704e+05 4.2076481836000836e+05 3.7009649876287673e+05 3.2463885880244651e+05 2.8386804988760082e+05 2.4732640118059344e+05 2.1494098535015591e+05 1.8958393017140203e+05 1.7718268146787229e+05 1.6692078964337654e+05 1.4776112099318890e+05 1.2610296325265944e+05 1.0602453402009558e+05 8.7987095382531363e+04 7.1830783467611735e+04 5.7358766305391800e+04 4.4388541698767716e+04 3.2753800010957035e+04 2.2302729343540446e+04 1.2896146165540735e+04 4.4057028720672097e+03 -3.2878016152385840e+03 -1.0296032497297845e+04 -1.6724673918376626e+04 -2.2674951959110324e+04 -2.8647542806826597e+04 -3.4301553193398795e+04 -3.9757752218103014e+04 -4.5140032100011194e+04 -5.0578388670581095e+04 -5.6212510668729163e+04 -6.2196298916003099e+04 -6.8703779199964585e+04 -7.5937174465288059e+04 -8.4137674964330959e+04 -9.3603140030427690e+04 -1.0470563758623817e+05 -1.1792354980564064e+05 -1.3389983657792109e+05 -1.5350066759977528e+05 -1.7793162900418957e+05 -2.0890130785236121e+05 -2.4888613679003878e+05 -3.0153325042461441e+05 -3.7224519370070973e+05 -4.6893578218997351e+05 -6.0270972316808149e+05 -7.8789243149566196e+05 -1.0404688888583606e+06 -1.3742733015996458e+06 -1.7953757154495022e+06 -2.2967179285550402e+06 -2.8558502358054607e+06 -3.4373031230483553e+06 -3.9996396620287211e+06 -4.5043230857570935e+06 -4.9233586300107166e+06 -5.2436971545631839e+06 -5.4676759326297892e+06 -5.6088616170061482e+06 -5.6872801783471983e+06 -5.7236078103654655e+06 -5.7352503712373944e+06 -5.7343741208884707e+06 -5.7301488253686400e+06 -5.7245304889858635e+06 -5.7182107395613603e+06 -5.7113607616810007e+06 -5.7042196570537062e+06 -5.6966854835015088e+06 -5.6887634293511827e+06 -5.6801350728294868e+06 -5.6708997090640320e+06 -5.6608873078837115e+06 -5.6499649707262944e+06 -5.6379711934193457e+06 -5.6247240409830352e+06 -5.6100149761600029e+06 -5.5936140383106284e+06 -5.5752698882921273e+06 -5.5547011291438127e+06 -5.5316090835826984e+06 -5.5056723158776313e+06 -5.4765593241065992e+06 -5.4439376217849143e+06 -5.4074904078180976e+06 -5.3670173906745221e+06 -5.3221617503092233e+06 -5.2729278729085587e+06 -5.2194296488987384e+06 -5.1620867126367902e+06 -5.1016131379502397e+06 -5.0393682087268000e+06 -4.9774214796636738e+06 -4.9188565667638071e+06 -4.8681590490831677e+06 -4.8317151673742523e+06 -4.8186580257828319e+06 -4.8421048087387942e+06 -4.9212968643502183e+06 -5.0853828531603832e+06 -5.3805355457482543e+06 -5.8841315089706639e+06 1.4514103802301179e+05 +2.3455615361981822e-02 8.5685479793004160e+03 1.5588725676475238e+05 4.0842932045893429e+05 7.3557266489078582e+05 1.0540812846962234e+06 1.2386874523321164e+06 1.2329713824621018e+06 1.1293550498060146e+06 1.0224693321279528e+06 9.3130166645870276e+05 8.4432995793173090e+05 7.5993455225473433e+05 6.8042833802112937e+05 6.0660034326993837e+05 5.3822405830753339e+05 4.7570996767761221e+05 4.1934011039853079e+05 3.6872792779736855e+05 3.2332044694262027e+05 2.8259438457975222e+05 2.4609256468729221e+05 2.1374219643587284e+05 1.8841291067072871e+05 1.7602713614699460e+05 1.6577852108481931e+05 1.4663951879987953e+05 1.2500328288141477e+05 1.0494430094355128e+05 8.6923421904207862e+04 7.0780912887166283e+04 5.6320086287366052e+04 4.3358550201938589e+04 3.1730067471477669e+04 2.1282859760148691e+04 1.1877736636846204e+04 3.3863010284954480e+03 -4.3107432509344826e+03 -1.1325206088236724e+04 -1.7762971103251941e+04 -2.3725524970489612e+04 -2.9715197780377232e+04 -3.5390823961916045e+04 -4.0873810007919965e+04 -4.6288834998162027e+04 -5.1766863263734042e+04 -5.7448776592597780e+04 -6.3489951441751087e+04 -7.0066251218760852e+04 -7.7382210174962325e+04 -8.5681952398435838e+04 -9.5267143744636647e+04 -1.0651478385747776e+05 -1.1990976893004146e+05 -1.3610396899065355e+05 -1.5597569313966748e+05 -1.8074753139791664e+05 -2.1215216891280594e+05 -2.5270074132056331e+05 -3.0609065084742365e+05 -3.7779651306719467e+05 -4.7583173292197828e+05 -6.1142779666144762e+05 -7.9904954724583856e+05 -1.0547986521389508e+06 -1.3925526022791110e+06 -1.8183063863803614e+06 -2.3247956796242972e+06 -2.8892658948902586e+06 -3.4759052908782191e+06 -4.0429673142893827e+06 -4.5516877451894293e+06 -4.9739484366224883e+06 -5.2966824272471685e+06 -5.5223003986050980e+06 -5.6644998964743307e+06 -5.7434682742932495e+06 -5.7800378119218322e+06 -5.7917425460836301e+06 -5.7908373765475377e+06 -5.7865650512030320e+06 -5.7808892377454303e+06 -5.7745065030936105e+06 -5.7675888484468553e+06 -5.7603773755367957e+06 -5.7527690159594957e+06 -5.7447689593586102e+06 -5.7360556569242077e+06 -5.7267293717416199e+06 -5.7166183991389796e+06 -5.7055885322522484e+06 -5.6934766769589875e+06 -5.6800991069943318e+06 -5.6652452342892271e+06 -5.6486828223808855e+06 -5.6301580749134552e+06 -5.6093868171593081e+06 -5.5860674311816758e+06 -5.5598753168678172e+06 -5.5304757087629810e+06 -5.4975328469535001e+06 -5.4607268136200365e+06 -5.4198553339999346e+06 -5.3745580917633548e+06 -5.3248395091665732e+06 -5.2708145977124562e+06 -5.2129071232233075e+06 -5.1518381896077078e+06 -5.0889804626945043e+06 -5.0264238738497989e+06 -4.9672823865041677e+06 -4.9160857552323323e+06 -4.8792830862357514e+06 -4.8660974000996444e+06 -4.8897750155242160e+06 -4.9697467093165442e+06 -5.1354481093204403e+06 -5.4335065500853267e+06 -5.9420602936160797e+06 1.4692503246632876e+05 +2.3600177906672039e-02 7.5584680272982660e+03 1.5471650075462303e+05 4.0698453514783864e+05 7.3377238069627364e+05 1.0519341127657662e+06 1.2363393931963579e+06 1.2306305441365833e+06 1.1271285620284604e+06 1.0203610352867715e+06 9.2929475190317596e+05 8.4242004926212446e+05 7.5811886723321653e+05 6.7870146587370499e+05 6.0495592850671371e+05 5.3665591218822112e+05 4.7421141741152946e+05 4.1790417405772622e+05 3.6734804234189144e+05 3.2199064571606554e+05 2.8130926471596176e+05 2.4484721666148151e+05 2.1253184544102114e+05 1.8723027941766175e+05 1.7485991660513540e+05 1.6462450740366508e+05 1.4550611025191119e+05 1.2389174289734621e+05 1.0385215772279238e+05 8.5847787972296952e+04 6.9719029917419713e+04 5.5269338469635215e+04 4.2316430063515028e+04 3.0694137911958649e+04 2.0250714941680588e+04 1.0846961277674449e+04 2.3544275383359409e+03 -5.3462807710964316e+03 -1.2367121856237880e+04 -1.8814182963245090e+04 -2.4789216127249976e+04 -3.0796230347706904e+04 -3.6493781863298464e+04 -4.2003923957185536e+04 -4.7452133721782957e+04 -5.2970357315541150e+04 -5.8700685632251640e+04 -6.4799990291121547e+04 -7.1445996320932289e+04 -7.8845579156098276e+04 -8.7245834322209368e+04 -9.6952282619093967e+04 -1.0834691774729596e+05 -1.2192123177165021e+05 -1.3833611620451012e+05 -1.5848217047923003e+05 -1.8359919862660114e+05 -2.1544427864615954e+05 -2.5656366538182952e+05 -3.1070560875418701e+05 -3.8341756795878260e+05 -4.8281347071119631e+05 -6.2025249929132068e+05 -8.1033945417578111e+05 -1.0692923434760368e+06 -1.4110303945466315e+06 -1.8414709228498593e+06 -2.3531404576518717e+06 -2.9229769982439345e+06 -3.5148251774647743e+06 -4.0866287202426437e+06 -4.5993968280726597e+06 -5.0248892680032877e+06 -5.3500225337546896e+06 -5.5772817225937825e+06 -5.7204959445843259e+06 -5.8000143801546991e+06 -5.8368256713170260e+06 -5.8485922105568796e+06 -5.8476576446305215e+06 -5.8433379133988228e+06 -5.8376042281688247e+06 -5.8311580990562709e+06 -5.8241723364148568e+06 -5.8168900495105973e+06 -5.8092070348418374e+06 -5.8011284825601224e+06 -5.7923296972950092e+06 -5.7829119160216050e+06 -5.7727017489670701e+06 -5.7615636726884264e+06 -5.7493329930835171e+06 -5.7358241812744364e+06 -5.7208245854448732e+06 -5.7040996786957327e+06 -5.6853931922716210e+06 -5.6644181559761381e+06 -5.6408699926265050e+06 -5.6144209177414952e+06 -5.5847328816835629e+06 -5.5514668304328900e+06 -5.5142997097874051e+06 -5.4730272489721524e+06 -5.4272856136318594e+06 -5.3770792621675907e+06 -5.3225243342424324e+06 -5.2640487532475395e+06 -5.2023806976343468e+06 -5.1389062997308709e+06 -5.0757359964282475e+06 -5.0160142901517553e+06 -4.9643153905567471e+06 -4.9271516664962815e+06 -4.9138366233929135e+06 -4.9377465303121526e+06 -5.0185027900909027e+06 -5.1858298117387993e+06 -5.4868123670005435e+06 -6.0003552262564339e+06 1.4873088842926075e+05 +2.3745631424760515e-02 6.5371422214590430e+03 1.5353471446438931e+05 4.0552908437459654e+05 7.3196189928929752e+05 1.0497771660851948e+06 1.2339817586639975e+06 1.2282800302679299e+06 1.1248921611241668e+06 1.0182425982988219e+06 9.2727749537262938e+05 8.4049960749769385e+05 7.5629247221456096e+05 6.7696372185439919e+05 6.0330049632079329e+05 5.3507661959805270e+05 4.7270160721602110e+05 4.1645687894852593e+05 3.6595671210648125e+05 3.2064932486169913e+05 2.8001255998804409e+05 2.4359022668070797e+05 2.1130980176825618e+05 1.8603590572207162e+05 1.7368089242680892e+05 1.6345861853048447e+05 1.4436076520525911e+05 1.2276821280796498e+05 1.0274797338533567e+05 8.4760062026820073e+04 6.8645002302056382e+04 5.4206389783818318e+04 4.1262047277974460e+04 2.9645876251587244e+04 1.9206158577484977e+04 9.8036823722724912e+03 1.3099430803249270e+03 -6.3945553333776543e+03 -1.3421923062767226e+04 -1.9878455174651182e+04 -2.5866173883264884e+04 -3.1890792421556012e+04 -3.7610582849334067e+04 -4.3148254745383136e+04 -4.8630094497578015e+04 -5.4189043576680015e+04 -5.9968418230694057e+04 -6.6126605002288270e+04 -7.2843214831900274e+04 -8.0327494575873527e+04 -8.8829549256902348e+04 -9.8658803632092327e+04 -1.1020230855509115e+05 -1.2395823481048187e+05 -1.4059660808320661e+05 -1.6102047086638154e+05 -1.8648705377540822e+05 -2.1877812576806091e+05 -2.6047548160698684e+05 -3.1537880470239063e+05 -3.8910917723219219e+05 -4.8988198812326806e+05 -6.2918503253377264e+05 -8.2176358768981940e+05 -1.0839516347767978e+06 -1.4297085584717309e+06 -1.8648713551109298e+06 -2.3817543674389645e+06 -2.9569856494589485e+06 -3.5540648246158082e+06 -4.1306258228612011e+06 -4.6474521656416068e+06 -5.0761828498543333e+06 -5.4037191122771166e+06 -5.6326214777934263e+06 -5.7768512908929214e+06 -5.8569199988870211e+06 -5.8939728765977658e+06 -5.9058008447473645e+06 -5.9048364007563731e+06 -5.9004688853588132e+06 -5.8946769317667130e+06 -5.8881669971674588e+06 -5.8811126934898309e+06 -5.8737591450432846e+06 -5.8660010042722067e+06 -5.8578434610371245e+06 -5.8489586538186185e+06 -5.8394487993947342e+06 -5.8291388122863444e+06 -5.8178918441528808e+06 -5.8055415908266352e+06 -5.7919007094349368e+06 -5.7767544714755109e+06 -5.7598660448694313e+06 -5.7409766732815662e+06 -5.7197965732287867e+06 -5.6960181896218183e+06 -5.6693105335282832e+06 -5.6393322504148129e+06 -5.6057409713855237e+06 -5.5682104861142272e+06 -5.5265345149818389e+06 -5.4803456837813649e+06 -5.4296484871145571e+06 -5.3745601999372290e+06 -5.3155129294337388e+06 -5.2532419732050728e+06 -5.1891470150160687e+06 -5.1253591266518449e+06 -5.0650535419088192e+06 -5.0128492062311172e+06 -4.9753221499744086e+06 -4.9618769341065222e+06 -4.9860205975717846e+06 -5.0675663714988912e+06 -5.2365292674190383e+06 -5.5404543793488964e+06 -6.0590178191677686e+06 1.5055887257299037e+05 +2.3891981407528535e-02 5.5044299533204548e+03 1.5234175564167285e+05 4.0406283179812721e+05 7.3014107153698674e+05 1.0476102999829237e+06 1.2316143998347530e+06 1.2259197028720248e+06 1.1226457111459125e+06 1.0161138843632067e+06 9.2524975972092140e+05 8.3856849784213281e+05 7.5445523286371597e+05 6.7521497224632138e+05 6.0163391358217900e+05 5.3348604774749209e+05 4.7118040463848528e+05 4.1499809282718570e+05 3.6455380494800652e+05 3.1929635226475965e+05 2.7870413823997846e+05 2.4232146247162472e+05 2.1007593296896527e+05 1.8482965704041647e+05 1.7248993133467890e+05 1.6228072252439632e+05 1.4320335164010484e+05 1.2163256024262095e+05 1.0163161507866204e+05 8.3660110625965608e+04 6.7558695900119114e+04 5.3131105273654910e+04 4.0195265947282955e+04 2.8585145511031300e+04 1.8149052450539926e+04 8.7477602886518835e+03 2.5270640454355100e+02 -7.4557100395331481e+03 -1.4489754932380334e+04 -2.0955935399920043e+04 -2.6956548706454505e+04 -3.2999037964997915e+04 -3.8741384966109406e+04 -4.4306965199491176e+04 -4.9822885763327700e+04 -5.5423097085337125e+04 -6.1252157209897938e+04 -6.7469987601246816e+04 -7.4258109695180814e+04 -8.1828172375529321e+04 -9.0433328684373235e+04 -1.0038695694735633e+05 -1.1208122903747408e+05 -1.2602107831449069e+05 -1.4288577868453792e+05 -1.6359097024557486e+05 -1.8941152525450967e+05 -2.2215420511218824e+05 -2.6443676974764222e+05 -3.2011092762306961e+05 -3.9487216965455213e+05 -4.9703828941934713e+05 -6.3822661145624495e+05 -8.3332339854399662e+05 -1.0987782146198230e+06 -1.4485889914441362e+06 -1.8885097306833353e+06 -2.4106395304833944e+06 -2.9912939680245291e+06 -3.5936262892411812e+06 -4.1749605796214794e+06 -4.6958556032540835e+06 -5.1278309217754556e+06 -5.4577738148088651e+06 -5.6883212511504460e+06 -5.8335674786659377e+06 -5.9141866471475707e+06 -5.9514809295089999e+06 -5.9633699424007619e+06 -5.9623751341842124e+06 -5.9579594541085698e+06 -5.9521088336603642e+06 -5.9455346807422778e+06 -5.9384114011716200e+06 -5.9309861417481583e+06 -5.9231524019288551e+06 -5.9149153704090174e+06 -5.9059439998554559e+06 -5.8963414928420903e+06 -5.8859310574725885e+06 -5.8745745121999877e+06 -5.8621039326171027e+06 -5.8483301504853163e+06 -5.8330363475610679e+06 -5.8159833718368066e+06 -5.7969099641123088e+06 -5.7755235097476589e+06 -5.7515134570035497e+06 -5.7245455923355930e+06 -5.6942752355252150e+06 -5.6603566819099290e+06 -5.6224605452570627e+06 -5.5803785241774973e+06 -5.5337396827106159e+06 -5.4825485517478473e+06 -5.4269235486702407e+06 -5.3673009907738203e+06 -5.3044233396211127e+06 -5.2397039157086331e+06 -5.1752945556129450e+06 -5.1144014176728325e+06 -5.0616884650050532e+06 -5.0237957899613157e+06 -5.0102195821516626e+06 -5.0345984733061632e+06 -5.1169387300829757e+06 -5.2875477954554865e+06 -5.5944339827879351e+06 -6.1180495986251906e+06 1.5240925478834030e+05 +2.4039233380101464e-02 4.4601890882302205e+03 1.5113748683429230e+05 4.0258563670934056e+05 7.2830977256360417e+05 1.0454333876479118e+06 1.2292371798990769e+06 1.2235494170163732e+06 1.1203890711215329e+06 1.0139747538000578e+06 9.2321140734652511e+05 8.3662658371466212e+05 7.5260701289107907e+05 6.7345508137830533e+05 5.9995604536666023e+05 5.3188406200771709e+05 4.6964767537773156e+05 4.1352768157880794e+05 3.6313918685305968e+05 3.1793159393884527e+05 2.7738386544796079e+05 2.4104078989086967e+05 2.0883010472391566e+05 1.8361139895669741e+05 1.7128689917058291e+05 1.6109068555389033e+05 1.4203373564064148e+05 1.2048465093299942e+05 1.0050294805096633e+05 8.2547798426159206e+04 6.6459974666357215e+04 5.2043348074615285e+04 3.9115948260394653e+04 2.7511806791760773e+04 1.7079256416625427e+04 7.6790534574246631e+03 -8.1742568905422468e+02 -8.5298899571807087e+03 -1.5570764674823424e+04 -2.2046773310228906e+04 -2.8060493101815806e+04 -3.4121123015140482e+04 -3.9886348378359151e+04 -4.5480220318948079e+04 -5.1030678193886088e+04 -5.6672695194226821e+04 -6.2552087798635956e+04 -6.8830332631423254e+04 -7.5690886504010123e+04 -8.3347831303714629e+04 -9.2057407083321159e+04 -1.0213699595311287e+05 -1.1398395545046587e+05 -1.2811006638595987e+05 -1.4520396631189520e+05 -1.6619404931624816e+05 -1.9237304686534783e+05 -2.2557301770423027e+05 -2.6844811675958498e+05 -3.2490267492038873e+05 -4.0070738401715830e+05 -5.0428339068589726e+05 -6.4737846486382384e+05 -8.4502035299509531e+05 -1.1137737883996691e+06 -1.4676736083104473e+06 -1.9123881144818433e+06 -2.4397980850924095e+06 -3.0259040894171302e+06 -3.6335116434415234e+06 -4.2196349625886036e+06 -4.7446090004553171e+06 -5.1798352373550572e+06 -5.5121883072089348e+06 -5.7443826434357390e+06 -5.8906460649763895e+06 -5.9718158553635841e+06 -6.0093513455379354e+06 -6.0213010109955333e+06 -6.0202753479011366e+06 -6.0158111203770889e+06 -6.0099014326423835e+06 -6.0032626467673583e+06 -5.9960699545890642e+06 -5.9885725328943636e+06 -5.9806627190849809e+06 -5.9723456998769557e+06 -5.9632872223633863e+06 -5.9535914808960306e+06 -5.9430799664409254e+06 -5.9316131558628669e+06 -5.9190214943741933e+06 -5.9051139768648259e+06 -5.8896716823066007e+06 -5.8724531238960410e+06 -5.8531945242518317e+06 -5.8316004196422528e+06 -5.8073572428494114e+06 -5.7801275354511393e+06 -5.7495632706682188e+06 -5.7153153871317366e+06 -5.6770513027881356e+06 -5.6345606815285403e+06 -5.5874690036695236e+06 -5.5357808364166804e+06 -5.4796157467716997e+06 -5.4194142885980634e+06 -5.3559261323877657e+06 -5.2905783210139396e+06 -5.2255435863028923e+06 -5.1640592051019100e+06 -5.1108344412582964e+06 -5.0725738513008598e+06 -5.0588658289599605e+06 -5.0834814250717126e+06 -5.1666211541320914e+06 -5.3388867271025144e+06 -5.6487525858399402e+06 -6.1774521049658358e+06 1.5428230823445541e+05 +2.4187392901657324e-02 3.4042757541770270e+03 1.4992175886476936e+05 4.0109734693283855e+05 7.2646783931234106e+05 1.0432462554616624e+06 1.2268499621578748e+06 1.2211690207568929e+06 1.1181221013547825e+06 1.0118250678449541e+06 9.2116229886130046e+05 8.3467372599308158e+05 7.5074767407174304e+05 6.7168391171697853e+05 5.9826675487161917e+05 5.3027052590626117e+05 4.6810328325586632e+05 4.1204550919932948e+05 3.6171272192023374e+05 3.1655491401058744e+05 2.7605160569954256e+05 2.3974807290269306e+05 2.0757218082350423e+05 1.8238099516204477e+05 1.7007165987549222e+05 1.5988837187646082e+05 1.4085178137572223e+05 1.1932434869307191e+05 9.9361835630516129e+04 8.1422988161815505e+04 6.5348700630488071e+04 5.0942979393476075e+04 3.8023954472514350e+04 2.6425719254970063e+04 1.5996628383033281e+04 6.5974183503449067e+03 -1.9005983723758552e+03 -9.6172421418830472e+03 -1.6665101507452982e+04 -2.3151120608294703e+04 -2.9178161634803961e+04 -3.5257205706919973e+04 -4.1045635394133147e+04 -4.6668187301009719e+04 -5.2253644727591258e+04 -5.7938017597846163e+04 -6.3868397661506584e+04 -7.0207837183963071e+04 -7.7141753532873336e+04 -8.4886692950372526e+04 -9.3702021965578562e+04 -1.0390917730129090e+05 -1.1591076759326342e+05 -1.3022550700974156e+05 -1.4755151356702566e+05 -1.6883009359138799e+05 -1.9537205786695768e+05 -2.2903507083886641e+05 -2.7251011689078063e+05 -3.2975475257406355e+05 -4.0661566925499152e+05 -5.1161831996774429e+05 -6.5664183544117701e+05 -8.5685593295322009e+05 -1.1289400784729938e+06 -1.4869643415071974e+06 -1.9365085889390954e+06 -2.4692321864891867e+06 -3.0608181651875568e+06 -3.6737229746074616e+06 -4.2646509584894478e+06 -4.7937142310645552e+06 -5.2321975642231219e+06 -5.5669642693014545e+06 -5.8008072693253523e+06 -5.9480886207690537e+06 -6.0298091678314731e+06 -6.0675856540087126e+06 -6.0795955718387188e+06 -6.0785385586742507e+06 -6.0740253986794986e+06 -6.0680562412846126e+06 -6.0613524059834341e+06 -6.0540898626275929e+06 -6.0465198254575999e+06 -6.0385334607255291e+06 -6.0301359523249445e+06 -6.0209898219462419e+06 -6.0112002617167188e+06 -6.0005870347111169e+06 -5.9890092677931562e+06 -5.9762957655605879e+06 -5.9622536745412312e+06 -5.9466619577862639e+06 -5.9292767787901899e+06 -5.9098318266156325e+06 -5.8880287703806078e+06 -5.8635510085205231e+06 -5.8360578173822695e+06 -5.8051978026620587e+06 -5.7706185252504908e+06 -5.7319841872857679e+06 -5.6890824049234539e+06 -5.6415350526797762e+06 -5.5893467341515096e+06 -5.5326381731484095e+06 -5.4718541866474561e+06 -5.4077516992657436e+06 -5.3417715622534677e+06 -5.2761075336772939e+06 -5.2140282036680616e+06 -5.1602884210883994e+06 -5.1216576104561463e+06 -5.1078169475371651e+06 -5.1326707320811152e+06 -5.2166149437782317e+06 -5.3905474058267558e+06 -5.7034116099577658e+06 -6.2372268926759977e+06 1.5617830937794718e+05 +2.4336465565636678e-02 2.3365442151963148e+03 1.4869442781882934e+05 3.9959782179815974e+05 7.2461513803804456e+05 1.0410487963589483e+06 1.2244525769510928e+06 1.2187783800954083e+06 1.1158446581453476e+06 1.0096646827602761e+06 9.1910229243252682e+05 8.3270978346426797e+05 7.4887707640229096e+05 6.6990132399760152e+05 5.9656590334513597e+05 5.2864530109812890e+05 4.6654709018677956e+05 4.1055143777263799e+05 3.6027427234116086e+05 3.1516617470023816e+05 2.7470722117114702e+05 2.3844317355999036e+05 2.0630202314611734e+05 1.8113830743373584e+05 1.6884407546924500e+05 1.5867364381889190e+05 1.3965735107830426e+05 1.1815151539910537e+05 9.8208139205787316e+04 8.0285540624893110e+04 6.4224733876561462e+04 4.9829858487339516e+04 3.6919142884052009e+04 2.5326740100499937e+04 1.4901024287187445e+04 5.5027094585885161e+03 -2.9969588112213441e+03 -1.0717915659511295e+04 -1.7772916678025387e+04 -2.4269131051543951e+04 -3.0309710954891198e+04 -3.6407446297467061e+04 -4.2219410489585520e+04 -4.7871035566518483e+04 -5.3491960592761759e+04 -5.9219246360344361e+04 -6.5201276927643499e+04 -7.1602700928267688e+04 -7.8610921770071247e+04 -8.6444981781485942e+04 -9.5367413912934440e+04 -1.0570376094750424e+05 -1.1786194885088965e+05 -1.3236771210010140e+05 -1.4992876740305623e+05 -1.7149949345736517e+05 -1.9840900304424900e+05 -2.3254087815691446e+05 -2.7662337177165813e+05 -3.3466787524204899e+05 -4.1259788456398709e+05 -5.1904411740242463e+05 -6.6601797990114719e+05 -8.6883163612884318e+05 -1.1442788243102401e+06 -1.5064631412037308e+06 -1.9608732541216048e+06 -2.4989440069143469e+06 -3.0960383630687986e+06 -3.7142623854857176e+06 -4.3100105687951175e+06 -4.8431731832488012e+06 -5.2849196841548616e+06 -5.6221033949278062e+06 -5.8575967574701626e+06 -6.0058967309380583e+06 -6.0881681427537967e+06 -6.1261853981642844e+06 -6.1382551601082422e+06 -6.1371662971441494e+06 -6.1326038173668347e+06 -6.1265747859881930e+06 -6.1198054829371823e+06 -6.1124726479644971e+06 -6.1048295401913952e+06 -6.0967661456056470e+06 -6.0882876443935968e+06 -6.0790533129367223e+06 -6.0691693471793225e+06 -6.0584537714859517e+06 -6.0467643542719679e+06 -6.0339282492741970e+06 -6.0197507430816330e+06 -6.0040086696451344e+06 -5.9864558277886631e+06 -5.9668233575624945e+06 -5.9448100428573051e+06 -5.9200962287400812e+06 -5.8923379059568197e+06 -5.8611802915710062e+06 -5.8262675476224292e+06 -5.7872606403886983e+06 -5.7439451252161535e+06 -5.6959392486385275e+06 -5.6432476507100584e+06 -5.5859922192903124e+06 -5.5246220611327738e+06 -5.4599014003587337e+06 -5.3932849829247175e+06 -5.3269877247249484e+06 -5.2643097247581873e+06 -5.2100517023448478e+06 -5.1710483555638297e+06 -5.1570742225498827e+06 -5.1821676852428913e+06 -5.2669214110393198e+06 -5.4425311874057734e+06 -5.7584124895949466e+06 -6.2973755304593798e+06 1.5809753803249376e+05 +2.4486456999953797e-02 1.2568470147113142e+03 1.4745534657992295e+05 3.9808691383336228e+05 7.2275151302911458e+05 1.0388408248331462e+06 1.2220449011112612e+06 1.2163773562524172e+06 1.1135565976354736e+06 1.0074934526004967e+06 9.1703124481230613e+05 8.3073461365814507e+05 7.4699507810879732e+05 6.6810717722438206e+05 5.9485335004501278e+05 5.2700824732811505e+05 4.6497895614868309e+05 4.0904532745042717e+05 3.5882369837928505e+05 3.1376523630230041e+05 2.7335057210785354e+05 2.3712595198152467e+05 2.0501949163880496e+05 1.7988319561482497e+05 1.6760400603051536e+05 1.5744636175674244e+05 1.3845030502510059e+05 1.1696601096833205e+05 9.7041718204333578e+04 7.9135314643967082e+04 6.3087932522265321e+04 4.8703842642658768e+04 3.5801369819421961e+04 2.4214724545197059e+04 1.3792298074838667e+04 4.3947792707243261e+03 -4.1066561875941006e+03 -1.1832061608878348e+04 -1.8894363487634757e+04 -2.5400960475555075e+04 -3.1455299819617034e+04 -3.7572007190569995e+04 -4.3407840334201159e+04 -4.9088936785857652e+04 -5.4745803334618184e+04 -6.0516565943439236e+04 -6.6550918220216030e+04 -7.3015126142705441e+04 -8.0098604950375549e+04 -8.8022925173624841e+04 -9.7053826614872538e+04 -1.0752101019202737e+05 -1.1983778623896594e+05 -1.3453699755017349e+05 -1.5233607917859789e+05 -1.7420264423462929e+05 -2.0148433277565741e+05 -2.3609095972325362e+05 -2.8078849050460459e+05 -3.3964276636613422e+05 -4.1865489952090703e+05 -5.2656183535451838e+05 -6.7550816912820924e+05 -8.8094897618793685e+05 -1.1597917826389992e+06 -1.5261719754376328e+06 -1.9854842278609565e+06 -2.5289357357389349e+06 -3.1315668670581398e+06 -3.7551319942821423e+06 -4.3557158098056745e+06 -4.8929877596082538e+06 -5.3380033931225259e+06 -5.6776073920274973e+06 -5.9147527505724812e+06 -6.0640719944002889e+06 -6.1468943523523612e+06 -6.1851521352146082e+06 -6.1972813249558900e+06 -6.1961601078970404e+06 -6.1915479187278440e+06 -6.1854586070607621e+06 -6.1786234160829717e+06 -6.1712198471460911e+06 -6.1635032117165783e+06 -6.1553623063116390e+06 -6.1468023065291783e+06 -6.1374792234710827e+06 -6.1275002629325129e+06 -6.1166816997179249e+06 -6.1048799353233324e+06 -6.0919204623019984e+06 -6.0776066957105454e+06 -6.0617133271522038e+06 -6.0439917757444279e+06 -6.0241706170246797e+06 -6.0019457314553047e+06 -5.9769943916998375e+06 -5.9489692823632071e+06 -5.9175122107582930e+06 -5.8822639188433802e+06 -5.8428821168868057e+06 -5.7991502862898698e+06 -5.7506830233634803e+06 -5.6974850046757832e+06 -5.6396792893899353e+06 -5.5777193008220401e+06 -5.5123766081416849e+06 -5.4451199387747059e+06 -5.3781854985190677e+06 -5.3149050916767409e+06 -5.2601255947054531e+06 -5.2207473865019297e+06 -5.2066389503588248e+06 -5.2319735872302698e+06 -5.3175418798989756e+06 -5.4948394399569537e+06 -5.8137566722856583e+06 -6.3578996013152236e+06 1.6004027739890531e+05 +2.4637372867209125e-02 1.6503480510232734e+02 1.4620436340576995e+05 3.9656447338628338e+05 7.2087681314438162e+05 1.0366222154087181e+06 1.2196267724932844e+06 1.2139657823528575e+06 1.1112577690423620e+06 1.0053112311403441e+06 9.1494901027520001e+05 8.2874807243821642e+05 7.4510153534208564e+05 6.6630132843424345e+05 5.9312895224012737e+05 5.2535922239099036e+05 4.6339873916477710e+05 4.0752703643425496e+05 3.5736085835014406e+05 3.1235195716448250e+05 2.7198151679894439e+05 2.3579626633174112e+05 2.0372444429569255e+05 1.7861551759319368e+05 1.6635130967574686e+05 1.5620638409390816e+05 1.3723050151601277e+05 1.1576769333915043e+05 9.5862430072185598e+04 7.7972167063242479e+04 6.1938152697238693e+04 4.7564787153700912e+04 3.4670489605227282e+04 2.3089525801181033e+04 1.2670301678005995e+04 3.2734782503990596e+03 -5.2298417223098204e+03 -1.2959833144677492e+04 -2.0029597314139432e+04 -2.6546766817797630e+04 -3.2615089118635115e+04 -3.8751052961448193e+04 -4.4611093816430148e+04 -5.0322064905357889e+04 -5.6015352842788066e+04 -6.1830163234908789e+04 -6.7917516686115036e+04 -7.4445317745786233e+04 -8.1605019587892166e+04 -8.9620753449169642e+04 -9.8761506905932460e+04 -1.0936119171954773e+05 -1.2183857044798371e+05 -1.3673368328011612e+05 -1.5477380471221576e+05 -1.7693994623780472e+05 -2.0459850310224123e+05 -2.3968584210633385e+05 -2.8500608975354250e+05 -3.4468015827515943e+05 -4.2478759420472395e+05 -5.3417253855200019e+05 -6.8511368832812493e+05 -8.9320948290494783e+05 -1.1754807275990108e+06 -1.5460928302523727e+06 -2.0103436458664709e+06 -2.5592095795724634e+06 -3.1674058775200336e+06 -3.7963339347288357e+06 -4.4017687127292091e+06 -4.9431598772365442e+06 -5.3914505013849493e+06 -5.7334779827242652e+06 -5.9722769054626133e+06 -6.1226160241727829e+06 -6.2059893829173800e+06 -6.2444874364454774e+06 -6.2566756295585399e+06 -6.2555215495160958e+06 -6.2508592590406789e+06 -6.2447092588020824e+06 -6.2378077578223972e+06 -6.2303330106791398e+06 -6.2225423885821821e+06 -6.2143234893437540e+06 -6.2056814830894126e+06 -6.1962690955515904e+06 -6.1861945484721102e+06 -6.1752723561971495e+06 -6.1633575447587501e+06 -6.1502739352045124e+06 -6.1358230593828410e+06 -6.1197774532782780e+06 -6.1018861411716063e+06 -6.0818751185341915e+06 -6.0594373441272927e+06 -6.0342469990731217e+06 -6.0059534412453696e+06 -5.9741950469586784e+06 -5.9386091167871142e+06 -5.8988500847707009e+06 -5.8546993451541206e+06 -5.8057678216843335e+06 -5.7520602275047870e+06 -5.6937008003796693e+06 -5.6311473070730390e+06 -5.5651787075737324e+06 -5.4972777978560096e+06 -5.4297022063028719e+06 -5.3658156397636952e+06 -5.3105114197409386e+06 -5.2707560149469730e+06 -5.2565124390929304e+06 -5.2820897525399216e+06 -5.3684776863463204e+06 -5.5474735440190053e+06 -5.8694456186982356e+06 -6.4188007026221780e+06 1.6200681410566324e+05 +2.4789218864903068e-02 -9.3904355676033970e+02 1.4494133024902947e+05 3.9503034397237201e+05 7.1899089701132069e+05 1.0343927932294502e+06 1.2171980400823841e+06 1.2115435182853453e+06 1.1089480249890310e+06 1.0031178722258189e+06 9.1285544170753437e+05 8.2675001344592578e+05 7.4319630216992903e+05 6.6448363246343471e+05 5.9139256524783548e+05 5.2369808209573186e+05 4.6180629528908891e+05 4.0599642095997074e+05 3.5588560859790776e+05 3.1092619366315030e+05 2.7059991155784891e+05 2.3445397279928750e+05 2.0241673713608138e+05 1.7733512927963352e+05 1.6508584253838161e+05 1.5495356724125624e+05 1.3599779685302085e+05 1.1455641844918649e+05 9.4670130252275208e+04 7.6795952721102498e+04 6.0775248521903472e+04 4.6412545300916434e+04 3.3526354548622388e+04 2.1950995053677478e+04 1.1534884992663581e+04 2.1386548137324121e+03 -6.3666686979093629e+03 -1.4101385500733722e+04 -2.1178775635637623e+04 -2.7706710141713942e+04 -3.3789241898381617e+04 -3.9944750381891019e+04 -4.5829342069333034e+04 -5.1570596173768434e+04 -5.7300791378578782e+04 -6.3160227577191610e+04 -6.9301270025828242e+04 -7.5893483327983442e+04 -8.3130385009637510e+04 -9.1238699911822376e+04 -1.0049070480411893e+05 -1.1122457564159083e+05 -1.2386459588815339e+05 -1.3895809328708888e+05 -1.5724230433671782e+05 -1.7971180483880677e+05 -2.0775197579812334e+05 -2.4332605845762239e+05 -2.8927679383866984e+05 -3.4978079229263909e+05 -4.3099685931860982e+05 -5.4187730422437703e+05 -6.9483583717958373e+05 -9.0561470231513225e+05 -1.1913474508875490e+06 -1.5662277098359985e+06 -2.0354536618581342e+06 -2.5897677623583847e+06 -3.2035576112733572e+06 -3.8378703561839690e+06 -4.4481713237505089e+06 -4.9936914678055393e+06 -5.4452628335508592e+06 -5.7897169033808941e+06 -6.0301708931586454e+06 -6.1815304474324156e+06 -6.2654548348915996e+06 -6.3041928872370729e+06 -6.3164396512040328e+06 -6.3152521946826838e+06 -6.3105394086583154e+06 -6.3043283095528102e+06 -6.2973600746173002e+06 -6.2898137030817810e+06 -6.2819486333378190e+06 -6.2736512551897764e+06 -6.2649267323766239e+06 -6.2554244851245219e+06 -6.2452537572264485e+06 -6.2342272915857714e+06 -6.2221987302620541e+06 -6.2089902123815399e+06 -6.1944013748801416e+06 -6.1782025847751694e+06 -6.1601404563228581e+06 -6.1399383893107874e+06 -6.1172864024606142e+06 -6.0918555661277445e+06 -6.0632918907628888e+06 -6.0312303003594093e+06 -5.9953046327088829e+06 -5.9551660252961535e+06 -5.9105937719662851e+06 -5.8611951014832724e+06 -5.8069747635916257e+06 -5.7480581819997970e+06 -5.6849074939326700e+06 -5.6183090961227203e+06 -5.5497599405814186e+06 -5.4815392115261331e+06 -5.4170427164258407e+06 -5.3612105109775113e+06 -5.3210755644375710e+06 -5.3066960087252436e+06 -5.3325175075614704e+06 -5.4197301784666926e+06 -5.6004348926197533e+06 -5.9254808027085299e+06 -6.4800804461832233e+06 1.6399743824993569e+05 +2.4942000725651076e-02 -2.0555411022486251e+03 1.4366609182084247e+05 3.9348438143122353e+05 7.1709360219751135e+05 1.0321524278006648e+06 1.2147585564362672e+06 1.2091104132292641e+06 1.1066272103960691e+06 1.0009132236830121e+06 9.1075038959931221e+05 8.2474028800517775e+05 7.4127923095582484e+05 6.6265394201786607e+05 5.8964404247995350e+05 5.2202468023337080e+05 4.6020147858902178e+05 4.0445333528083022e+05 3.5439780347686785e+05 3.0948780018031603e+05 2.6920561069811066e+05 2.3309892557645272e+05 2.0109622418392173e+05 1.7604188458738598e+05 1.6380745874769581e+05 1.5368776559537690e+05 1.3475204531891688e+05 1.1333204021412408e+05 9.3464672163229639e+04 7.5606524428490156e+04 5.9599072085531872e+04 4.5246968328855379e+04 3.2368814914841059e+04 2.0798981438630170e+04 1.0385895856091156e+04 9.9015530640649149e+02 -7.5172924818481870e+03 -1.5256876013536839e+04 -2.2342058054512941e+04 -2.8880952660940024e+04 -3.4977923386874907e+04 -4.1153268445847178e+04 -4.7062758496942588e+04 -5.2834709169483227e+04 -5.8602303603164590e+04 -6.4506950796672842e+04 -7.0702378523936553e+04 -7.7359833183467752e+04 -8.4674923389139803e+04 -9.2877000882851644e+04 -1.0224167354945873e+05 -1.1311143553754613e+05 -1.2591616073559009e+05 -1.4121055569564863e+05 -1.5974194295597693e+05 -1.8251863052762771e+05 -2.1094521844090952e+05 -2.4701214859228345e+05 -2.9360123482713592e+05 -3.5494541884444177e+05 -4.3728359631361661e+05 -5.4967722224053228e+05 -7.0467592998083087e+05 -9.1816619687219709e+05 -1.2073937619156337e+06 -1.5865786366644688e+06 -2.0608164476873938e+06 -2.6206125254994743e+06 -3.2400243016872760e+06 -3.8797434237098917e+06 -4.4949257041129628e+06 -5.0445844776380146e+06 -5.4994422286637872e+06 -5.8463259046746269e+06 -6.0884363989431802e+06 -6.2408169055981329e+06 -6.3252923229244389e+06 -6.3642700871945852e+06 -6.3765749813519875e+06 -6.3753536302256482e+06 -6.3705899520714004e+06 -6.3643173417822467e+06 -6.3572819470124748e+06 -6.3496635029732054e+06 -6.3417235226144455e+06 -6.3333471783944368e+06 -6.3245396267419616e+06 -6.3149469621531693e+06 -6.3046794565880867e+06 -6.2935480705380449e+06 -6.2814050534615442e+06 -6.2680708521380639e+06 -6.2533431968492875e+06 -6.2369902722138381e+06 -6.2187562672375822e+06 -6.1983619703298127e+06 -6.1754944417463085e+06 -6.1498216217610482e+06 -6.1209861526492862e+06 -6.0886194846476438e+06 -6.0523519712765170e+06 -6.0118314330692030e+06 -5.9668350501564723e+06 -5.9169663337751422e+06 -5.8622300703473678e+06 -5.8027528768778937e+06 -5.7390012881575404e+06 -5.6717691838465175e+06 -5.6025677598130982e+06 -5.5336978899167161e+06 -5.4685876812078292e+06 -5.4122242139411010e+06 -5.3717073704303373e+06 -5.3571909910960570e+06 -5.3832581906217756e+06 -5.4713007164745554e+06 -5.6537248913293434e+06 -5.9818637114740834e+06 -6.5417404583370360e+06 1.6601244343907386e+05 +2.5095724217400077e-02 -3.1846127732947925e+03 1.4237849464824778e+05 3.9192641908402968e+05 7.1518476741821144e+05 1.0299009464542846e+06 1.2123081609245127e+06 1.2066663077294119e+06 1.1042951773842180e+06 9.9869713531472534e+05 9.0863370168687438e+05 8.2271874528380914e+05 7.3935017245887371e+05 6.6081210789555032e+05 5.8788323543428548e+05 5.2033886855502718e+05 4.5858414112741686e+05 4.0289763164855115e+05 3.5289729532634834e+05 3.0803662907872611e+05 2.6779846651449922e+05 2.3173097683798225e+05 1.9976275744596586e+05 1.7473563540950761e+05 1.6251601040666053e+05 1.5240883151762455e+05 1.3349309915553196e+05 1.1209441050596100e+05 9.2245907177107729e+04 7.4403732946803080e+04 5.8409473423882417e+04 4.4067905423940065e+04 3.1197718904946007e+04 1.9633332019984395e+04 9.2231800239142249e+03 -1.7217601953582343e+02 -8.6818705500253072e+03 -1.6426464146078313e+04 -2.3519606321576633e+04 -3.0069658764189691e+04 -3.6181301018917031e+04 -4.2376778395062385e+04 -4.8311518800542377e+04 -5.4114584827714309e+04 -5.9920076605809118e+04 -6.5870527232794353e+04 -7.2121045079971271e+04 -7.8844580342525296e+04 -8.6238859781077204e+04 -9.4535895737420811e+04 -1.0401466964307360e+05 -1.1502204849722282e+05 -1.2799356697760915e+05 -1.4349140280804050e+05 -1.6227309010035192e+05 -1.8536083897672000e+05 -2.1417870448294270e+05 -2.5074465907188982e+05 -2.9798005262937216e+05 -3.6017479756708350e+05 -4.4364871751289739e+05 -5.5757339524971752e+05 -7.1463529580457939e+05 -9.3086554560434201e+05 -1.2236214879595460e+06 -1.6071476516339770e+06 -2.0864341934528954e+06 -2.6517461279519880e+06 -3.2768081987801665e+06 -3.9219553181499550e+06 -4.5420339302027980e+06 -5.0958408677838882e+06 -5.5539905402495619e+06 -5.9033067516784659e+06 -6.1470751224560952e+06 -6.3004770544023467e+06 -6.3855034759596828e+06 -6.4247206501790434e+06 -6.4370832257112479e+06 -6.4358274572038818e+06 -6.4310124879744481e+06 -6.4246779521489777e+06 -6.4175749697473561e+06 -6.4098840031107515e+06 -6.4018686471670251e+06 -6.3934128476059781e+06 -6.3845217526309611e+06 -6.3748381106842151e+06 -6.3644732280355897e+06 -6.3532362717147106e+06 -6.3409780899766628e+06 -6.3275174267605152e+06 -6.3126500938671231e+06 -6.2961420800853604e+06 -6.2777351338305883e+06 -6.2571474163957974e+06 -6.2340630110412836e+06 -6.2081467086060243e+06 -6.1790377622969337e+06 -6.1463641270931419e+06 -6.1097526506676059e+06 -6.0688478161000703e+06 -6.0234246764232228e+06 -5.9730830027629351e+06 -5.9178276182469968e+06 -5.8577863405685686e+06 -5.7934301293240758e+06 -5.7255603934440417e+06 -5.6557026608886970e+06 -5.5861796295478735e+06 -5.5204519058408942e+06 -5.4635538862287467e+06 -5.4226527803516090e+06 -5.4079987299977979e+06 -5.4343131520532304e+06 -5.5231906727856863e+06 -5.7073449583231024e+06 -6.0385958454738799e+06 -6.6037823799955603e+06 1.6805212683259492e+05 +2.5250395143646232e-02 -4.3264153872791539e+03 1.4107838044684476e+05 3.9035630722031445e+05 7.1326425342370453e+05 1.0276382019464094e+06 1.2098466879506421e+06 1.2042110493197404e+06 1.1019517690621167e+06 9.9646945209309843e+05 9.0650522457854671e+05 8.2068523265102319e+05 7.3740897538401803e+05 6.5895797904292040e+05 5.8610999359999853e+05 5.1864049676720967e+05 4.5695413293769833e+05 4.0132916029092181e+05 3.5138393445159355e+05 3.0657253067819384e+05 2.6637832926103653e+05 2.3034997671928102e+05 1.9841618688924683e+05 1.7341623159791407e+05 1.6121134757051952e+05 1.5111661531095419e+05 1.3222080854176093e+05 1.1084337913105007e+05 9.1013684597349828e+04 7.3187426965539416e+04 5.7206300497008815e+04 4.2875203691811439e+04 3.0012912632849344e+04 1.8453891766730561e+04 8.0465811468552920e+03 -1.3484970292169817e+03 -9.8605625105609670e+03 -1.7610311512019318e+04 -2.4711584360694480e+04 -3.1272995040013418e+04 -3.7399544461457408e+04 -4.3615453745177132e+04 -4.9575801005705325e+04 -5.5410406468118774e+04 -6.1254299932449663e+04 -6.7251153768011354e+04 -7.3557475239416832e+04 -8.0347940604470292e+04 -8.7822422155416265e+04 -9.6215626941498238e+04 -1.0580995288706780e+05 -1.1695669516389474e+05 -1.3009712046006347e+05 -1.4580097115572749e+05 -1.6483611998405532e+05 -1.8823885110465149e+05 -2.1745291332411577e+05 -2.5452414328560367e+05 -3.0241389509317075e+05 -3.6546969741771609e+05 -4.5009314623879216e+05 -5.6556693882439239e+05 -7.2471527865097683e+05 -9.4371434427070024e+05 -1.2400324743076831e+06 -1.6279368142106377e+06 -2.1123091076352745e+06 -2.6831708463319149e+06 -3.3139115693042423e+06 -3.9645082362222560e+06 -4.5894980936210481e+06 -5.1474626140856976e+06 -5.6089096364155589e+06 -5.9606612239194522e+06 -6.2060887777172541e+06 -6.3605125639463495e+06 -6.4460899372910680e+06 -6.4855462043757178e+06 -6.4979660042984430e+06 -6.4966752909528604e+06 -6.4918086293345718e+06 -6.4854117515739975e+06 -6.4782407517943243e+06 -6.4704768104965305e+06 -6.4623856119752256e+06 -6.4538498656864567e+06 -6.4448747106561856e+06 -6.4350995288991248e+06 -6.4246366671559401e+06 -6.4132934879011344e+06 -6.4009194295139872e+06 -6.3873315225751027e+06 -6.3723236485467823e+06 -6.3556595868550194e+06 -6.3370786299401410e+06 -6.3162962961751791e+06 -6.2929936732440637e+06 -6.2668323830494573e+06 -6.2374482688056407e+06 -6.2044657686076546e+06 -6.1675082026101965e+06 -6.1262166958671482e+06 -6.0803641608720962e+06 -6.0295466059214342e+06 -5.9737688909046035e+06 -5.9131600416251365e+06 -5.8481954698572680e+06 -5.7796841603275239e+06 -5.7091660617044643e+06 -5.6389858308869144e+06 -5.5726367743148040e+06 -5.5152008975617215e+06 -5.4739131536835944e+06 -5.4591205812370460e+06 -5.4856837542494461e+06 -5.5754014320716718e+06 -5.7612965244394708e+06 -6.0956787186052222e+06 -6.6662078667316856e+06 1.7011678918465573e+05 +2.5406019343654031e-02 -5.4811076823350159e+03 1.3976559020738796e+05 3.8877388282237697e+05 7.1133188063892268e+05 1.0253640321620194e+06 1.2073739914400736e+06 1.2017444729809882e+06 1.0995968288091344e+06 9.9423001872109377e+05 9.0436480443403381e+05 8.1863959591940115e+05 7.3545548586673394e+05 6.5709140237294487e+05 5.8432416434054228e+05 5.1692941253807530e+05 4.5531130200274964e+05 3.9974776938045566e+05 3.4985756909664883e+05 3.0509535323212849e+05 2.6494504713087570e+05 2.2895577329539062e+05 1.9705636042009993e+05 1.7208352094071757e+05 1.5989331822350458e+05 1.4981096519873678e+05 1.3093502157166299e+05 1.0957879380739102e+05 8.9767851636499312e+04 7.1957453079975647e+04 5.5989399166558425e+04 4.1668708134318287e+04 2.8814240102290631e+04 1.7260503529473361e+04 6.8559407471965469e+03 -2.5389677287441559e+03 -1.1053530127986989e+04 -1.8808581900169796e+04 -2.5918158293517896e+04 -3.2491130302186997e+04 -3.8632825639527524e+04 -4.4869470312201265e+04 -5.0855785489254020e+04 -5.6722359822886880e+04 -6.2605165614772923e+04 -6.8649029858028298e+04 -7.5011877225297314e+04 -8.1870132570456190e+04 -8.9425841432824905e+04 -9.7916440089052237e+04 -1.0762778642411235e+05 -1.1891565977715149e+05 -1.3222713093437365e+05 -1.4813960155113702e+05 -1.6743141156282526e+05 -1.9115309314021029e+05 -2.2076833038444360e+05 -2.5835116153573393e+05 -3.0690341809907835e+05 -3.7083089678650600e+05 -4.5661781693973253e+05 -5.7365898159999587e+05 -7.3491723760084936e+05 -9.5671420552135515e+05 -1.2566285844226603e+06 -1.6489482025646521e+06 -2.1384434172191336e+06 -2.7148889750325265e+06 -3.3513366968412744e+06 -4.0074043906003041e+06 -4.6373203012532545e+06 -5.1994517072595451e+06 -5.6642013999048732e+06 -6.0183911154494639e+06 -6.2654790932405451e+06 -6.4209251187816076e+06 -6.5070533646361139e+06 -6.5467483923908714e+06 -6.5592249515122427e+06 -6.5578987611989286e+06 -6.5529800034752693e+06 -6.5465203652994065e+06 -6.5392809164373567e+06 -6.5314435464139963e+06 -6.5232760362818679e+06 -6.5146598497311734e+06 -6.5056001156774610e+06 -6.4957328292050743e+06 -6.4851713837281521e+06 -6.4737213260292066e+06 -6.4612306759133330e+06 -6.4475147400207110e+06 -6.4323654575586803e+06 -6.4155443850174453e+06 -6.3967883434137311e+06 -6.3758101923113232e+06 -6.3522880051492183e+06 -6.3258802153402083e+06 -6.2962192350493437e+06 -6.2629259637985779e+06 -6.2256201724489303e+06 -6.1839396073723203e+06 -6.1376550270038079e+06 -6.0863586540275542e+06 -6.0300553851276189e+06 -5.9688754616777180e+06 -5.9032987750962507e+06 -5.8341419326808220e+06 -5.7629593927718401e+06 -5.6921179068592656e+06 -5.6251436829196261e+06 -5.5671666298467387e+06 -5.5254898619778678e+06 -5.5105579126596078e+06 -5.5373713717202861e+06 -5.6279343913304526e+06 -5.8155810332510369e+06 -6.1531138582209246e+06 -6.7290185888448404e+06 1.7220673488703836e+05 +2.5562602692676736e-02 -6.6488505189178641e+03 1.3843996153315835e+05 3.8717898438441491e+05 7.0938749789540144e+05 1.0230782665456556e+06 1.2048899196357490e+06 1.1992664272001940e+06 1.0972301950317526e+06 9.9197867697907216e+05 9.0221228429194668e+05 8.1658167907597555e+05 7.3348954745836800e+05 6.5521222256247303e+05 5.8252559286726697e+05 5.1520546149975294e+05 4.5365549423308490e+05 3.9815330500734929e+05 3.4831804542319494e+05 3.0360494290423783e+05 2.6349846623478044e+05 2.2754821255877777e+05 1.9568312386076112e+05 1.7073734914059759e+05 1.5856176825743285e+05 1.4849172730162687e+05 1.2963558423143101e+05 1.0830050014212297e+05 8.8508253393287901e+04 7.0713655767929202e+04 5.4758613172262354e+04 4.0448261626505046e+04 2.7601543183416285e+04 1.6053008016884134e+04 5.6510981948825747e+03 -3.7437502893551737e+03 -1.2260937347605499e+04 -2.0021441299228438e+04 -2.7139496464778575e+04 -3.3724235615415251e+04 -3.9881318762297706e+04 -4.6139006239279057e+04 -5.2151655006864989e+04 -5.8050633064995040e+04 -6.3972868199450691e+04 -7.0064357562199526e+04 -7.6484461969941214e+04 -8.3411377677330034e+04 -9.1049351519989126e+04 -9.9638583940040888e+04 -1.0946843677823144e+05 -1.2089923021678146e+05 -1.3438391210503777e+05 -1.5050763914065785e+05 -1.7005934859220363e+05 -1.9410399668831800e+05 -2.2412544717913697e+05 -2.6222628112036956e+05 -3.1144928566040797e+05 -3.7625918360658980e+05 -4.6322367531890777e+05 -5.8185066542311816e+05 -7.4524254697168909e+05 -9.6986675905648235e+05 -1.2734117000921266e+06 -1.6701839137161013e+06 -2.1648393678045766e+06 -2.7469028263221812e+06 -3.3890858818944804e+06 -4.0506460099880109e+06 -4.6855026753585655e+06 -5.2518101529587526e+06 -5.7198677281722641e+06 -6.0764982349205557e+06 -6.3252478120663371e+06 -6.4817164179668417e+06 -6.5683954302066695e+06 -6.6083288712779684e+06 -6.6208617161975643e+06 -6.6194995120410612e+06 -6.6145282521176357e+06 -6.6080054329678770e+06 -6.6006971013296796e+06 -6.5927858465145277e+06 -6.5845415536747631e+06 -6.5758444311818443e+06 -6.5666995968423774e+06 -6.5567396382837277e+06 -6.5460790018008156e+06 -6.5345214072752455e+06 -6.5219134472147468e+06 -6.5080686936957883e+06 -6.4927771317109689e+06 -6.4757980811897479e+06 -6.4568658761529913e+06 -6.4356907014537239e+06 -6.4119475975123141e+06 -6.3852917896140199e+06 -6.3553522377506057e+06 -6.3217462810534928e+06 -6.2840901192347277e+06 -6.2420180992185976e+06 -6.1952988118281327e+06 -6.1435206712418441e+06 -6.0866886109725395e+06 -6.0249340954591259e+06 -5.9587415233599851e+06 -5.8889351714881202e+06 -5.8170840972655173e+06 -5.7455772828999292e+06 -5.6779740403228682e+06 -5.6194524772268198e+06 -5.5773842889424674e+06 -5.5623121042382345e+06 -5.5893773911504708e+06 -5.6807909599173162e+06 -5.8701999411093974e+06 -6.2109028052075217e+06 -6.7922162314206371e+06 1.7432227201261956e+05 +2.5720151102178200e-02 -7.8298065313468896e+03 1.3710133684948864e+05 3.8557145583139523e+05 7.0743094674953073e+05 1.0207807530736867e+06 1.2023942957556862e+06 1.1967767464635221e+06 1.0948517081611971e+06 9.8971526716111298e+05 9.0004750369359204e+05 8.1451132393005176e+05 7.3151100157496880e+05 6.5332028203968087e+05 5.8071412228609121e+05 5.1346848722416908e+05 4.5198655344069854e+05 3.9654561114628601e+05 3.4676520748414606e+05 3.0210114374956919e+05 2.6203843057978424e+05 2.2612713839662139e+05 1.9429632092682406e+05 1.6937755979157676e+05 1.5721654144712721e+05 1.4715874561491236e+05 1.2832234037672720e+05 1.0700834160873498e+05 8.7234732829237953e+04 6.9455877366747824e+04 5.3513784109136621e+04 3.9213704892808812e+04 2.6374661588972918e+04 1.4831243771736878e+04 4.4318906833505871e+03 -4.9630090718681276e+03 -1.3482950320349115e+04 -2.1249057922940054e+04 -2.8375769467760343e+04 -3.4972484321116288e+04 -4.1145200349525796e+04 -4.7424242023737170e+04 -5.3463594720836365e+04 -5.9395416837026656e+04 -6.5357604777963541e+04 -7.1497341574458784e+04 -7.7975443147686805e+04 -8.4971900231135194e+04 -9.2693189345505205e+04 -1.0138231045847177e+05 -1.1133217389573298e+05 -1.2290769804755530e+05 -1.3656778167806831e+05 -1.5290543345708578e+05 -1.7272031968629171e+05 -1.9709199879599124e+05 -2.2752476139169492e+05 -2.6615007642053009e+05 -3.1605217001911678e+05 -3.8175535547079053e+05 -4.6991167846483679e+05 -5.9014314549476316e+05 -7.5569259647780890e+05 -9.8317365178861271e+05 -1.2903837215837820e+06 -1.6916460636741491e+06 -2.1914992237537899e+06 -2.7792147304524579e+06 -3.4271614419885883e+06 -4.0942353392064306e+06 -4.7340473536336981e+06 -5.3045399718522327e+06 -5.7759105334402295e+06 -6.1349844056389304e+06 -6.3853966918495232e+06 -6.5428881751421876e+06 -6.6301178207645090e+06 -6.6702893126406912e+06 -6.6828779617169043e+06 -6.6814792021180829e+06 -6.6764550314570311e+06 -6.6698686086798813e+06 -6.6624909585790057e+06 -6.6545053608638206e+06 -6.6461838121378068e+06 -6.6374052558381595e+06 -6.6281747976816781e+06 -6.6181215971624171e+06 -6.6073611597213736e+06 -6.5956953671067804e+06 -6.5829693757344512e+06 -6.5689950124554336e+06 -6.5535602960382234e+06 -6.5364222961285003e+06 -6.5173128441863731e+06 -6.4959394343416570e+06 -6.4719740551275089e+06 -6.4450687040034700e+06 -6.4148488675294006e+06 -6.3809283025830025e+06 -6.3429196157563133e+06 -6.3004537336666062e+06 -6.2532970659175739e+06 -6.2010341951686088e+06 -6.1436700918245455e+06 -6.0813374509044234e+06 -6.0145252060129717e+06 -5.9440653506482663e+06 -5.8715416310859332e+06 -5.7993653970161276e+06 -5.7311292676041359e+06 -5.6720598461392075e+06 -5.6295978304870604e+06 -5.6143845481077833e+06 -5.6417032114541149e+06 -5.7339725596235795e+06 -5.9251547172122635e+06 -6.2690471140280887e+06 -6.8558024944106918e+06 1.7646371235936103e+05 +2.5878670520056036e-02 -9.0241403583069205e+03 1.3574954494058515e+05 3.8395112382342608e+05 7.0546204240214091e+05 1.0184713224922766e+06 1.1998869511324591e+06 1.1942752607861888e+06 1.0924612045613730e+06 9.8743962552516349e+05 8.9787030122194672e+05 8.1242836975238018e+05 7.2951968806099775e+05 6.5141542117565800e+05 5.7888959363907971e+05 5.1171833117484307e+05 4.5030432131580310e+05 3.9492452963309432e+05 3.4519889720241172e+05 3.0058379769063648e+05 2.6056478204589742e+05 2.2469239256785891e+05 1.9289579320429493e+05 1.6800399435623569e+05 1.5585747942850011e+05 1.4581186198507645e+05 1.2699513170950866e+05 1.0570215952329920e+05 8.5947130745762508e+04 6.8183958049520661e+04 5.2254751403283371e+04 3.7964876483355176e+04 2.5133432850307465e+04 1.3595047146611989e+04 3.1981532049999946e+03 -6.1969106514780342e+03 -1.4719737427793158e+04 -2.2491602235517934e+04 -2.9627150170008750e+04 -3.6236052063847892e+04 -4.2424649258382618e+04 -4.8725360544596551e+04 -5.4791792228293176e+04 -6.0756904280104056e+04 -6.6759575016506453e+04 -7.2948189254489931e+04 -7.9485037206909648e+04 -8.6551927442207569e+04 -9.4357594896209703e+04 -1.0314787485124040e+05 -1.1321927118689838e+05 -1.2494135856335820e+05 -1.3877906141010931e+05 -1.5533333847372909e+05 -1.7541471837785630e+05 -2.0011754201933622e+05 -2.3096677695212525e+05 -2.7012312898579636e+05 -3.2071275174710050e+05 -3.8732021974331717e+05 -4.7668279498186306e+05 -5.9853759051715955e+05 -7.6626879138392408e+05 -9.9663654800318170e+05 -1.3075465678013042e+06 -1.7133367875826408e+06 -2.2184252682982427e+06 -2.8118270357693359e+06 -3.4655657117516976e+06 -4.1381746392848864e+06 -4.7829564892882928e+06 -5.3576431996947117e+06 -5.8323317427829811e+06 -6.1938514656499252e+06 -6.4459275049261339e+06 -6.6044421185900001e+06 -6.6922222376854895e+06 -6.7326314026723448e+06 -6.7452753660006709e+06 -6.7438395045975847e+06 -6.7387620122265965e+06 -6.7321115610474981e+06 -6.7246641547910962e+06 -6.7166037540163398e+06 -6.7082044741433188e+06 -6.6993439839644590e+06 -6.6900273761352142e+06 -6.6798803612751579e+06 -6.6690195102397772e+06 -6.6572448553550588e+06 -6.6444001081135701e+06 -6.6302953394499328e+06 -6.6147165898168413e+06 -6.5974186648447579e+06 -6.5781308777331933e+06 -6.5565580158278663e+06 -6.5323689968737299e+06 -6.5052125706417551e+06 -6.4747107289811298e+06 -6.4404736244911086e+06 -6.4021102486024303e+06 -6.3592480866991971e+06 -6.3116513534383904e+06 -6.2589007769148871e+06 -6.2010013644387880e+06 -6.1380870491656940e+06 -6.0706513274989566e+06 -5.9995339569909349e+06 -5.9263334629205316e+06 -5.8534836998401592e+06 -5.7846107983303182e+06 -5.7249901553680422e+06 -5.6821318947755946e+06 -5.6667766486328868e+06 -5.6943502438241960e+06 -5.7874806247306308e+06 -5.9804468436494656e+06 -6.3275483528092839e+06 -6.9197790926902015e+06 1.7863137149482593e+05 +2.6038166930866163e-02 -1.0232019030060974e+04 1.3438442452904393e+05 3.8231782537971699e+05 7.0348063557897846e+05 1.0161498041819071e+06 1.1973677229257277e+06 1.1917618211945170e+06 1.0900585206640975e+06 9.8515158609884826e+05 8.9568051458944823e+05 8.1033265321688273e+05 7.2751544529852946e+05 6.4949747849537944e+05 5.7705184587446181e+05 5.0995483265075175e+05 4.4860863739814411e+05 3.9328990014250239e+05 3.4361895434896636e+05 2.9905274449760735e+05 2.5907736036229620e+05 2.2324381467950562e+05 1.9148138012604200e+05 1.6661649214297000e+05 1.5448442167376317e+05 1.4445091608632868e+05 1.2565379775380119e+05 1.0438179302121188e+05 8.4645285759945182e+04 6.6897735801467337e+04 5.0981352288160546e+04 3.6701612749681859e+04 2.3877692292969554e+04 1.2344252279318795e+04 1.9497185263834972e+03 -7.4456238428398319e+03 -1.5971469307587329e+04 -2.3749246977386760e+04 -3.0893813739747235e+04 -3.7515116817774833e+04 -4.3719846710611302e+04 -5.0042547090217151e+04 -5.6136437589722438e+04 -6.2135291063266392e+04 -6.8178981186720746e+04 -7.4417110659602360e+04 -8.1013463403709568e+04 -8.8151689459084912e+04 -9.6042811254086118e+04 -1.0493553560683489e+05 -1.1513000556727295e+05 -1.2700051083315333e+05 -1.4101807715752249e+05 -1.5779171265946419e+05 -1.7814294317844894e+05 -2.0318107449085845e+05 -2.3445200411109626e+05 -2.7414602762235067e+05 -3.2543171984631731e+05 -3.9295459367895802e+05 -4.8353800512434624e+05 -6.0703518284533720e+05 -7.7697255266956147e+05 -1.0102571295238117e+06 -1.3249021764477734e+06 -1.7352582398591961e+06 -2.2456198036683300e+06 -2.8447421088178931e+06 -3.5043010430153119e+06 -4.1824661875239788e+06 -4.8322322511340370e+06 -5.4111218873826340e+06 -5.8891332981824800e+06 -6.2531012677864656e+06 -6.5068420383500233e+06 -6.6663799912964413e+06 -6.7547103970412314e+06 -6.7953568422273351e+06 -6.8080556216193726e+06 -6.8065821072679833e+06 -6.8014508797730096e+06 -6.7947359732748335e+06 -6.7872183711428232e+06 -6.7790827050878620e+06 -6.7706052166823894e+06 -6.7616622903506700e+06 -6.7522590046529965e+06 -6.7420176005399190e+06 -6.7310557205558969e+06 -6.7191715362599958e+06 -6.7062073053974323e+06 -6.6919713321858235e+06 -6.6762476666687904e+06 -6.6587888366354993e+06 -6.6393216212687381e+06 -6.6175480850058971e+06 -6.5931340557756312e+06 -6.5657250157794580e+06 -6.5349394407149963e+06 -6.5003838568387059e+06 -6.4616636182444086e+06 -6.4184027480571931e+06 -6.3703632522421665e+06 -6.3171219811378550e+06 -6.2586839790012883e+06 -6.1951844247078849e+06 -6.1271214054244943e+06 -6.0553424903285755e+06 -5.9814610742897913e+06 -5.9079336546850763e+06 -5.8384200785910003e+06 -5.7782448361074813e+06 -5.7349879022793425e+06 -5.7194898224463668e+06 -5.7473199117895449e+06 -5.8413166020421404e+06 -6.0360778154762862e+06 -6.3864081033665054e+06 -6.9841477561273891e+06 1.8082556880119172e+05 +2.6198646356048749e-02 -1.1453611022617337e+04 1.3300580080813018e+05 3.8067138602133753e+05 7.0148654932966689e+05 1.0138160351073141e+06 1.1948364440763360e+06 1.1892362425866674e+06 1.0876434856918294e+06 9.8285098278741643e+05 8.9347797765000828e+05 8.0822400877266179e+05 7.2549810975709395e+05 6.4756629064569320e+05 5.7520071577870962e+05 5.0817782874868513e+05 4.4689933904480701e+05 3.9164156016967219e+05 3.4202521651989839e+05 2.9750782176763954e+05 2.5757600308247443e+05 2.2178124216326891e+05 1.9005291894791633e+05 1.6521489028114101e+05 1.5309720546804939e+05 1.4307574539692354e+05 1.2429817583316645e+05 1.0304707903316127e+05 8.3329034280783148e+04 6.5597046395499681e+04 4.9693421780145523e+04 3.5423747820304699e+04 2.2607273012054953e+04 1.1078691067966238e+04 6.8641716302534189e+02 -8.7093197255230461e+03 -1.7238318879213406e+04 -2.5022167191305631e+04 -3.2175937672073978e+04 -3.8809858913751006e+04 -4.5030976319938847e+04 -5.1375989386571397e+04 -5.7497723357877891e+04 -6.3530775413555646e+04 -6.9616028196151296e+04 -7.5904318576498772e+04 -8.2560943834969294e+04 -8.9771419404231885e+04 -9.7749084633127175e+04 -1.0674555453565775e+05 -1.1706465750108087e+05 -1.2908545774642137e+05 -1.4328515892666162e+05 -1.6028091903197308e+05 -1.8090539763916182e+05 -2.0628304998865834e+05 -2.3798095951917209e+05 -2.7821936848147085e+05 -3.3020977185063239e+05 -3.9865930453846353e+05 -4.9047830092919921e+05 -6.1563711863248900e+05 -7.8780531718710100e+05 -1.0240370958733245e+06 -1.3424525041741205e+06 -1.7574125943442858e+06 -2.2730851512243659e+06 -2.8779623344505774e+06 -3.5433698048995812e+06 -4.2271122775885742e+06 -4.8818768236330533e+06 -5.4649781010393146e+06 -5.9463171566122072e+06 -6.3127356797355581e+06 -6.5681420940005630e+06 -6.7287035510189319e+06 -6.8175840296406969e+06 -6.8584673468868006e+06 -6.8712204358531041e+06 -6.8697087126035662e+06 -6.8645233340915823e+06 -6.8577435432153270e+06 -6.8501553034371575e+06 -6.8419439077918380e+06 -6.8333877313404111e+06 -6.8243618643380534e+06 -6.8148713702313257e+06 -6.8045349993883129e+06 -6.7934714723557653e+06 -6.7814770885627652e+06 -6.7683926430678591e+06 -6.7540246626060158e+06 -6.7381551946045803e+06 -6.7205344751487235e+06 -6.7008867335695243e+06 -6.6789112952115368e+06 -6.6542708790786033e+06 -6.6266076798109440e+06 -6.5955366354332361e+06 -6.5606606236816924e+06 -6.5215813390741628e+06 -6.4779193213397041e+06 -6.4294343539120881e+06 -6.3756993861211399e+06 -6.3167194991951045e+06 -6.2526311253468022e+06 -6.1839369705948988e+06 -6.1114924635401955e+06 -6.0369259596217303e+06 -5.9627167376074772e+06 -5.8925585670648133e+06 -5.8318253319947012e+06 -5.7881672858433928e+06 -5.7725254985187165e+06 -5.8006136512741400e+06 -5.8954819509702502e+06 -6.0920491407525288e+06 -6.4456279613004178e+06 -7.0489102296410529e+06 1.8304662752081573e+05 +2.6360114854155528e-02 -1.2689087632234039e+04 1.3161350606341139e+05 3.7901163949855382e+05 6.9947961179333425e+05 1.0114698335310369e+06 1.1922929410709271e+06 1.1866983596791858e+06 1.0852159342623542e+06 9.8053764836135553e+05 8.9126252140973357e+05 8.0610226933327306e+05 7.2346751541209954e+05 6.4562169212622615e+05 5.7333603791827348e+05 5.0638715434443299e+05 4.4517626140705065e+05 3.8997934500991768e+05 3.4041751911170530e+05 2.9594886490148323e+05 2.5606054555981772e+05 2.2030451025117162e+05 1.8861024472502270e+05 1.6379902369781464e+05 1.5169566588527054e+05 1.4168618517482767e+05 1.2292810104483466e+05 1.0169785226048622e+05 8.1998210484533163e+04 6.4281723367952458e+04 4.8390792653814060e+04 3.4131113575736301e+04 2.1322005847053941e+04 9.7981931457207575e+03 -5.9192264606955416e+02 -9.9881716697791562e+03 -1.8520461370064266e+04 -2.6310540248778208e+04 -3.3473701816025794e+04 -4.0120461066542375e+04 -4.6358224119949133e+04 -5.2725877625682326e+04 -5.8875844607071260e+04 -6.4943558145641604e+04 -7.1070923619711451e+04 -7.7410028553981872e+04 -8.4127703472483030e+04 -9.1411353409545583e+04 -9.9476664417416556e+04 -1.0857819680949261e+05 -1.1902351104352801e+05 -1.3119650605994885e+05 -1.4558064092455071e+05 -1.6280132521564508e+05 -1.8370249041353478e+05 -2.0942392800499679e+05 -2.4155416630443675e+05 -2.8234375514839659e+05 -3.3504761392938055e+05 -4.0443518970782205e+05 -4.9750468635312532e+05 -6.2434460798586498e+05 -7.9876853782624402e+05 -1.0379781644424818e+06 -1.3601995267445287e+06 -1.7798020444413954e+06 -2.3008236515735961e+06 -2.9114901159301158e+06 -3.5827743839110211e+06 -4.2721152195860753e+06 -4.9318924069944965e+06 -5.5192139220891977e+06 -6.0038852900677565e+06 -6.3727565841142563e+06 -6.6298294886093689e+06 -6.7914145703525804e+06 -6.8808448811072735e+06 -6.9219646470143301e+06 -6.9347715307437414e+06 -6.9332210378118251e+06 -6.9279810899178302e+06 -6.9211359834258705e+06 -6.9134766621708814e+06 -6.9051890705315759e+06 -6.8965537243660688e+06 -6.8874444099242827e+06 -6.8778661744893650e+06 -6.8674342568572899e+06 -6.8562684619290652e+06 -6.8441632055321392e+06 -6.8309578111447953e+06 -6.8164570171313649e+06 -6.8004408560851710e+06 -6.7826572584405271e+06 -6.7628278877878124e+06 -6.7406493141137594e+06 -6.7157811282953471e+06 -6.6878622173364228e+06 -6.6565039599935096e+06 -6.6213055631766990e+06 -6.5818650394741958e+06 -6.5377994240146065e+06 -6.4888662638240466e+06 -6.4346345838179281e+06 -6.3751095022422001e+06 -6.3104287123048799e+06 -6.2410995670835851e+06 -6.1679854026172478e+06 -6.0927296262671072e+06 -6.0178344374327837e+06 -5.9470277350664511e+06 -5.8857330991865266e+06 -5.8416714907120932e+06 -5.8258851181951324e+06 -5.8542329106315533e+06 -5.9499781435488807e+06 -6.1483623406069670e+06 -6.5052095360224228e+06 -7.1140682732679844e+06 1.8529487480231485e+05 +2.6522578521078533e-02 -1.3938621552873101e+04 1.3020736734308965e+05 3.7733841012761160e+05 6.9745964687646076e+05 1.0091110325913694e+06 1.1897370313631939e+06 1.1841479923774514e+06 1.0827756892454971e+06 9.7821141055636178e+05 8.8903397589313425e+05 8.0396726616431796e+05 7.2142349340468529e+05 6.4366351503595524e+05 5.7145764461231814e+05 5.0458264209014410e+05 4.4343923740218923e+05 3.8830308773823449e+05 3.3879569529712695e+05 2.9437570707979752e+05 2.5453082092071656e+05 2.1881345194995176e+05 1.8715319028664965e+05 1.6236872509282228e+05 1.5027963576262686e+05 1.4028206843314279e+05 1.2154340623654673e+05 1.0033394515100558e+05 8.0652646290020813e+04 6.2951597993154028e+04 4.7073295416958041e+04 3.2823539623445722e+04 2.0021719356543636e+04 8.5025858552060618e+03 -1.8854749642454863e+03 -1.1282355362645012e+04 -1.9818074341857704e+04 -2.7614545876832406e+04 -3.4787288401671511e+04 -4.1447108402597420e+04 -4.7701778592307943e+04 -5.4092404494382150e+04 -6.0270998962629543e+04 -6.6373842692802689e+04 -7.2543877731128319e+04 -7.8934458935632138e+04 -8.5713970197335875e+04 -9.3071730652220882e+04 -1.0122580319895083e+05 -1.1043373100232656e+05 -1.2100685388450210e+05 -1.3333396644487898e+05 -1.4790486160979234e+05 -1.6535330349625082e+05 -1.8653463531877167e+05 -2.1260417381653236e+05 -2.4517215415207294e+05 -2.8651979873491870e+05 -3.3994596099164919e+05 -4.1028309681851097e+05 -5.0461817740873084e+05 -6.3315887511538016e+05 -8.0986368367650779e+05 -1.0520820706576779e+06 -1.3781452391959594e+06 -1.8024288032644650e+06 -2.3288376647026734e+06 -2.9453278750415961e+06 -3.6225171840295903e+06 -4.3174773401480606e+06 -4.9822812172310399e+06 -5.5738314472998530e+06 -6.0618396856719730e+06 -6.4331658785371333e+06 -6.6919060538337044e+06 -6.8545148367798049e+06 -6.9444947119311104e+06 -6.9858504878377346e+06 -6.9987106431488739e+06 -6.9971208149165744e+06 -6.9918258767543836e+06 -6.9849150212472640e+06 -6.9771841725968849e+06 -6.9688199164257171e+06 -6.9601049167236919e+06 -6.9509116457884992e+06 -6.9412451337129930e+06 -6.9307170866374560e+06 -6.9194484001696827e+06 -6.9072315950593026e+06 -6.8939045142139196e+06 -6.8792700967385592e+06 -6.8631063480821280e+06 -6.8451588790524425e+06 -6.8251467715049451e+06 -6.8027638237577230e+06 -6.7776664792681448e+06 -6.7494902972333860e+06 -6.7178430754359812e+06 -6.6823203275802424e+06 -6.6425163618729571e+06 -6.5980446875263304e+06 -6.5486606011863360e+06 -6.4939291799140237e+06 -6.4338555789758731e+06 -6.3685787602745099e+06 -6.2986107522869017e+06 -6.2248228466929998e+06 -6.1488735946068317e+06 -6.0732882558485847e+06 -6.0018290666034445e+06 -5.9399696063909633e+06 -5.8955019746029731e+06 -5.8795701352545694e+06 -5.9081791507204678e+06 -6.0048066645347085e+06 -6.2050189492897289e+06 -6.5651544508314244e+06 -7.1796236622278066e+06 1.8757064174720473e+05 +2.6686043490280229e-02 -1.5202388225274908e+04 1.2878720952453774e+05 3.7565152601416025e+05 6.9542649353981530e+05 1.0067394517393463e+06 1.1871685504696839e+06 1.1815849720040897e+06 1.0803225793324043e+06 9.7587209670161665e+05 8.8679216842328734e+05 8.0181882788721775e+05 7.1936587217121886e+05 6.4169158899232862e+05 5.6956536591405980e+05 5.0276412240868225e+05 4.4168809769442875e+05 3.8661261918561906e+05 3.3715957599728182e+05 2.9278817923898902e+05 2.5298666004116775e+05 2.1730789801730070e+05 1.8568158621198894e+05 1.6092382491350244e+05 1.4884894567726774e+05 1.3886322591563829e+05 1.2014392198054463e+05 9.8955187873528484e+04 7.9292171333828548e+04 6.1606499258982883e+04 4.5740758285213364e+04 3.1500853272226672e+04 1.8706239792502496e+04 7.1916942225929915e+03 -3.1944161833713192e+03 -1.2592048834383188e+04 -2.1131337717390514e+04 -2.8934366185180072e+04 -3.6116882067607483e+04 -4.2789988487819443e+04 -4.9061830695103490e+04 -5.5475765203718322e+04 -6.1683386631056048e+04 -6.7821835137739210e+04 -7.4035103535120390e+04 -8.0477830892917802e+04 -8.7319974834218228e+04 -9.4752793391652333e+04 -1.0299675681622802e+05 -1.1231242913124109e+05 -1.2301497739260143e+05 -1.3549815353371261e+05 -1.5025816374452584e+05 -1.6793723087867384e+05 -1.8940225139980999e+05 -2.1582425855589585e+05 -2.4883545938459001e+05 -2.9074811796825967e+05 -3.4490553679017129e+05 -4.1620388386873633e+05 -5.1181980230230320e+05 -6.4208115849256830e+05 -8.2109224019350659e+05 -1.0663505681435026e+06 -1.3962916559974749e+06 -1.8252951037799872e+06 -2.3571295700998344e+06 -2.9794780521995421e+06 -3.6626006268035527e+06 -4.3632009825098263e+06 -5.0330454862508075e+06 -5.6288327888723072e+06 -6.1201823457205072e+06 -6.4939654756500432e+06 -6.7543736363349557e+06 -6.9180061527494015e+06 -7.0085352975319149e+06 -7.0501266294703092e+06 -7.0630395248284880e+06 -7.0614097907931581e+06 -7.0560594389710268e+06 -7.0490823988285037e+06 -7.0412795747787440e+06 -7.0328381834098948e+06 -7.0240430441458942e+06 -7.0147653053804152e+06 -7.0050099789415104e+06 -6.9943852171306321e+06 -6.9830130126753412e+06 -6.9706839796905788e+06 -6.9572344715040494e+06 -6.9424656169902598e+06 -6.9261533821393717e+06 -6.9080410440540863e+06 -6.8878450868070330e+06 -6.8652565206361338e+06 -6.8399286222354285e+06 -6.8114936027122159e+06 -6.7795556570875440e+06 -6.7437065833616396e+06 -6.7035369628039794e+06 -6.6586567573100375e+06 -6.6088189991221474e+06 -6.5535847938806023e+06 -6.4929593338898709e+06 -6.4270828574670721e+06 -6.3564720969548663e+06 -6.2820063481431333e+06 -6.2053593980491878e+06 -6.1290797074237103e+06 -6.0569640584286125e+06 -5.9945363349353867e+06 -5.9496602077558534e+06 -5.9335820159529205e+06 -5.9624538449361408e+06 -6.0599690114122322e+06 -6.2620205142218992e+06 -6.6254643429734018e+06 -7.2455781869879300e+06 1.8987426345705922e+05 +2.6850515933025076e-02 -1.6480564677914208e+04 1.2735285243142067e+05 3.7395080008308432e+05 6.9337994239190745e+05 1.0043549205522612e+06 1.1845873223001519e+06 1.1790091290365041e+06 1.0778564290371395e+06 9.7351953118013451e+05 8.8453692451225035e+05 7.9965678051466856e+05 7.1729447806481400e+05 6.3970574117809150e+05 5.6765902959570137e+05 5.0093142348093993e+05 4.3992267067380768e+05 3.8490776791725436e+05 3.3550898985723470e+05 2.9118611004207149e+05 2.5142789152034046e+05 2.1578767693512133e+05 1.8419526080454607e+05 1.5946415133016152e+05 1.4740342391992940e+05 1.3742948607135657e+05 1.1872947654901686e+05 9.7561408293252156e+04 7.7916612944499124e+04 6.0246253840784026e+04 4.4393007156447471e+04 3.0162879506358571e+04 1.7375391074225048e+04 5.8653409312912263e+03 -4.5189250503557496e+03 -1.3917432485290410e+04 -2.2460433807690508e+04 -3.0270185693597956e+04 -3.7462669888923600e+04 -4.4149291356228416e+04 -5.0438573892111301e+04 -5.6876157518310116e+04 -6.3113210430393192e+04 -6.9287744243630499e+04 -7.5544816799475899e+04 -8.2040368459154997e+04 -8.8945951187169136e+04 -9.6454787005765655e+04 -1.0478978439339931e+05 -1.1421456669825331e+05 -1.2504817665959414e+05 -1.3768938596916711e+05 -1.5264089444738827e+05 -1.7055348914427872e+05 -1.9230576299290842e+05 -2.1908465928256779e+05 -2.5254462504310007e+05 -2.9502933928627154e+05 -3.4992707403037586e+05 -4.2219841934598691e+05 -5.1911060157585732e+05 -6.5111271100167185e+05 -8.3245570936539304e+05 -1.0807854288976470e+06 -1.4146408112107823e+06 -1.8484031989566742e+06 -2.3857017668868452e+06 -3.0139431065528370e+06 -3.7030271514411457e+06 -4.4092885065836776e+06 -5.0841874619006803e+06 -5.6842200744999200e+06 -6.1789152877355441e+06 -6.5551573032118604e+06 -6.8172340978054404e+06 -6.9818903357136985e+06 -7.0729684283221951e+06 -7.1147948470031209e+06 -7.1277599424775979e+06 -7.1260897272471022e+06 -7.1206835358335031e+06 -7.1136398732274706e+06 -7.1057646236499194e+06 -7.0972456242610468e+06 -7.0883698572120359e+06 -7.0790071369522102e+06 -7.0691624559868379e+06 -7.0584403915104140e+06 -7.0469640397750754e+06 -7.0345220966898659e+06 -7.0209494169267900e+06 -7.0060453081236389e+06 -6.9895836844308991e+06 -6.9713054751033150e+06 -6.9509245503029861e+06 -6.9281291157463333e+06 -6.9025692618691940e+06 -6.8738738313685739e+06 -6.8416433945703851e+06 -6.8054660112019116e+06 -6.7649285129467640e+06 -6.7196372928711958e+06 -6.6693431047178879e+06 -6.6136030590279885e+06 -6.5524223851800626e+06 -6.4859426056657787e+06 -6.4146851852909243e+06 -6.3395374725851165e+06 -6.2621885831321394e+06 -6.1852103196730856e+06 -6.1124342200769745e+06 -6.0494347787961215e+06 -6.0041476729584243e+06 -5.9879222390889004e+06 -6.0170584792655315e+06 -6.1154666944814995e+06 -6.3193685960507290e+06 -6.6861408636661656e+06 -7.3119336533023715e+06 1.9220607908124872e+05 +2.7016002058612505e-02 -1.7773330885140862e+04 1.2590411978590341e+05 3.7223606209620874e+05 6.9131984373252827e+05 1.0019572458980129e+06 1.1819931533059361e+06 1.1764202725346589e+06 1.0753770578559730e+06 9.7115353748590674e+05 8.8226806887094537e+05 7.9748094784758764e+05 7.1520913574114989e+05 6.3770579640019836e+05 5.6573846113334177e+05 4.9908437120738591e+05 4.3814278243942838e+05 3.8318836020883924e+05 3.3384376322254387e+05 2.8956932585289347e+05 2.4985434165565995e+05 2.1425261488428985e+05 1.8269404006671073e+05 1.5798953020897202e+05 1.4594289647021340e+05 1.3598067502884672e+05 1.1729989588832902e+05 9.6152431945391378e+04 7.6525796116901736e+04 5.8870686075509017e+04 4.3029865584523228e+04 2.8809440959448908e+04 1.6028994761877166e+04 4.5233462953738108e+03 -5.8591826940151386e+03 -1.5258689112856649e+04 -2.3805547339432247e+04 -3.1622191359929759e+04 -3.8824841405435443e+04 -4.5525209538275682e+04 -5.1832204181660592e+04 -5.8293781786470492e+04 -6.4560675820790908e+04 -7.0771781486232561e+04 -7.7073236088040110e+04 -8.3622298563483710e+04 -9.0592136074570153e+04 -9.8177960028905552e+04 -1.0660514837974975e+05 -1.1614042273207897e+05 -1.2710675054571542e+05 -1.3990798645236230e+05 -1.5505340524566590e+05 -1.7320246490938275e+05 -1.9524559979098325e+05 -2.2238585905565892e+05 -2.5630020096953146e+05 -2.9936409693012934e+05 -3.5501131447601743e+05 -4.2826758235132199e+05 -5.2649162824573764e+05 -6.6025480009970081e+05 -8.4395560987967951e+05 -1.0953884434588165e+06 -1.4331947586537583e+06 -1.8717553619117951e+06 -2.4145566739343363e+06 -3.0487255160871716e+06 -3.7437992149003111e+06 -4.4557422890482871e+06 -5.1357094080606438e+06 -5.7399954474326037e+06 -6.2380405445522135e+06 -6.6167433041678686e+06 -6.8804893150637904e+06 -7.0461692182060648e+06 -7.1377959097668556e+06 -7.1798569305559639e+06 -7.1928736777921142e+06 -7.1911624010511842e+06 -7.1856999415682806e+06 -7.1785892164336806e+06 -7.1706410890817586e+06 -7.1620440066699069e+06 -7.1530871213775147e+06 -7.1436389036492910e+06 -7.1337043255297486e+06 -7.1228843677828219e+06 -7.1113032366346996e+06 -7.0987476981040090e+06 -7.0850510991408713e+06 -7.0700109151039906e+06 -7.0533989958034856e+06 -7.0349539085096512e+06 -7.0143868932226617e+06 -6.9913833346321601e+06 -6.9655901173583502e+06 -6.9366326952319490e+06 -6.9041079918966182e+06 -6.8676003061135858e+06 -6.8266926972113205e+06 -6.7809879678278212e+06 -6.7302345790569400e+06 -6.6739856225674031e+06 -6.6122463648219854e+06 -6.5451596202851404e+06 -6.4732516149489265e+06 -6.3974177989696329e+06 -6.3193627095334521e+06 -6.2416816331148995e+06 -6.1682410739268614e+06 -6.1046664446648285e+06 -6.0589658656359091e+06 -6.0425922960402193e+06 -6.0719945523449760e+06 -6.1713012368743559e+06 -6.3770647686987342e+06 -6.7471856781954858e+06 -7.3786918823169591e+06 1.9456643186521714e+05 +2.7182508114611335e-02 -1.9080868059265104e+04 1.2444082791058740e+05 3.7050712214234605e+05 6.8924600728246081e+05 9.9954624973086605e+05 1.1793858749267343e+06 1.1738182265958281e+06 1.0728842856755028e+06 9.6877393658268207e+05 8.7998542221053981e+05 7.9529115137728571e+05 7.1310966772720264e+05 6.3569157716986840e+05 5.6380348370684916e+05 4.9722278916200076e+05 4.3634825677934766e+05 3.8145422002302861e+05 3.3216372011601471e+05 2.8793765070920897e+05 2.4826583441768584e+05 2.1270253571802221e+05 1.8117774767372807e+05 1.5649978508738813e+05 1.4446718697074175e+05 1.3451661657053305e+05 1.1585500359301837e+05 9.4728082009591424e+04 7.5119543486316936e+04 5.7479617935777496e+04 4.1651154753128350e+04 2.7440357887814473e+04 1.4666870029812118e+04 3.1655282325684507e+03 -7.2153726522869993e+03 -1.6616003939234237e+04 -2.5166865482772137e+04 -3.2990572608053750e+04 -4.0203588650236932e+04 -4.6917938090396499e+04 -5.3242920126632496e+04 -5.9728840970431731e+04 -6.6025990935958005e+04 -7.2274161085252301e+04 -7.8620582793836191e+04 -8.5223851065128561e+04 -9.2258769365608183e+04 -9.9922564189623081e+04 -1.0844311458962125e+05 -1.1809027983086728e+05 -1.2919100172489714e+05 -1.4215428179237022e+05 -1.5749605212986033e+05 -1.7588454968464878e+05 -1.9822219690833226e+05 -2.2572834700796986e+05 -2.6010274388904206e+05 -3.0375303303909203e+05 -3.6015900905986765e+05 -4.3441226272422506e+05 -5.3396394794740586e+05 -6.6950870797430014e+05 -8.5559347729563643e+05 -1.1101614210760896e+06 -1.4519555720678950e+06 -1.8953538860536346e+06 -2.4436967299997620e+06 -3.0838277777385856e+06 -3.7849192919707652e+06 -4.5025647234240891e+06 -5.1876136047113026e+06 -5.7961610665546302e+06 -6.2975601643669605e+06 -6.6787254366864907e+06 -6.9441411800939469e+06 -7.1108446478998503e+06 -7.2030195624415567e+06 -7.2453146853321511e+06 -7.2583825275405580e+06 -7.2566296040364858e+06 -7.2511104454368427e+06 -7.2439322154571917e+06 -7.2359107559234211e+06 -7.2272351132963728e+06 -7.2181966170739224e+06 -7.2086623835225021e+06 -7.1986373631572314e+06 -7.1877189188407883e+06 -7.1760323732514177e+06 -7.1633625508305170e+06 -7.1495412816415941e+06 -7.1343641976589570e+06 -7.1176010718686720e+06 -7.0989880952747017e+06 -7.0782338614565432e+06 -7.0550209174505519e+06 -7.0289929224458262e+06 -6.9997719208411817e+06 -6.9669511675099935e+06 -6.9301111774430498e+06 -6.8888312147578727e+06 -6.8427104699817905e+06 -6.7914950972987218e+06 -6.7347341456564777e+06 -6.6724329186074035e+06 -6.6047355304188821e+06 -6.5321729971243339e+06 -6.4556489196225237e+06 -6.3768833501456296e+06 -6.2984952013087068e+06 -6.2243861552696768e+06 -6.1602328520038119e+06 -6.1141162938565398e+06 -6.0975936908048559e+06 -6.1272635754847312e+06 -6.2274741746335253e+06 -6.4351106194227031e+06 -6.8086004659317071e+06 -7.4458547105605314e+06 1.9695566919933280e+05 +2.7350040387095646e-02 -2.0403360659417664e+04 1.2296279097709285e+05 3.6876380497071304e+05 6.8715823679273762e+05 9.9712174984710768e+05 1.1767653022474160e+06 1.1712028082528766e+06 1.0703779320789119e+06 9.6638054529523815e+05 8.7768880247633054e+05 7.9308721047801268e+05 7.1099589397214947e+05 6.3366290380047506e+05 5.6185391819042398e+05 4.9534649854870379e+05 4.3453891514881467e+05 3.7970516898181720e+05 3.3046868221537519e+05 2.8629090629542718e+05 2.4666219142325714e+05 2.1113726093555457e+05 1.7964620494697202e+05 1.5499473714678839e+05 1.4297611670056992e+05 1.3303713210647414e+05 1.1439462087943658e+05 9.3288179283331556e+04 7.3697675301517753e+04 5.6072869002832951e+04 4.0256693448864113e+04 2.6055448143566158e+04 1.3288833639418350e+04 1.7917022369533852e+03 -8.5876808998168835e+03 -1.7989564639130083e+04 -2.6544577879568729e+04 -3.4375521356634781e+04 -4.1599106178679496e+04 -4.8327674624186373e+04 -5.4670922884148080e+04 -6.1181540677112615e+04 -6.7509366614264829e+04 -7.3795100037822864e+04 -8.0187081172690814e+04 -8.6845258788616920e+04 -9.3946094016522635e+04 -1.0168885444841911e+05 -1.1030395224295888e+05 -1.2006442420507398e+05 -1.3130123673132929e+05 -1.4442860295598541e+05 -1.5996919560728909e+05 -1.7860013993428322e+05 -2.0123599494793874e+05 -2.2911261841922547e+05 -2.6395281749534147e+05 -3.0819679774707311e+05 -3.6537091799256235e+05 -4.4063336116974254e+05 -5.4152863907827099e+05 -6.7887573170360795e+05 -8.6737086421077652e+05 -1.1251061898851530e+06 -1.4709253452721285e+06 -1.9192010852344404e+06 -2.4731243938483186e+06 -3.1192524075058484e+06 -3.8263898753895233e+06 -4.5497582201434970e+06 -5.2399023479945501e+06 -5.8527191064304681e+06 -6.3574762108010985e+06 -6.7411056742368033e+06 -7.0081916001030132e+06 -7.1759184876524461e+06 -7.2686412220711540e+06 -7.3111699316682415e+06 -7.3242883035936365e+06 -7.3224931431183787e+06 -7.3169168517658068e+06 -7.3096706723594945e+06 -7.3015754240740314e+06 -7.2928207418267112e+06 -7.2837001397097344e+06 -7.2740793696288653e+06 -7.2639633594235005e+06 -7.2529458325271364e+06 -7.2411532345641209e+06 -7.2283684366384773e+06 -7.2144217427579742e+06 -7.1991069303551270e+06 -7.1821916830172418e+06 -7.1634098011723077e+06 -7.1424672155984752e+06 -7.1190436190430857e+06 -7.0927794254787304e+06 -7.0632932492798353e+06 -7.0301746543223308e+06 -6.9930003489506841e+06 -6.9513457790835965e+06 -6.9048065013472037e+06 -6.8531263487298200e+06 -6.7958503034565728e+06 -6.7329837061997680e+06 -6.6646719788894132e+06 -6.5914509566019615e+06 -6.5142324402856072e+06 -6.4347520911296457e+06 -6.3556525909036025e+06 -6.2808710123113040e+06 -6.2161355330597702e+06 -6.1696004784112116e+06 -6.1529279400616586e+06 -6.1828670727568576e+06 -6.2839870567435240e+06 -6.4935077488465970e+06 -6.8703869204192199e+06 -7.5134239900745032e+06 1.9937414266830651e+05 +2.7518605200882083e-02 -2.1740994307175690e+04 1.2146982498961125e+05 3.6700591363350896e+05 6.8505635117550066e+05 9.9468356006672687e+05 1.1741312409592308e+06 1.1685738226816845e+06 1.0678578060757001e+06 9.6397317785650154e+05 8.7537802641275642e+05 7.9086894224427687e+05 7.0886763199276174e+05 6.3161959442932974e+05 5.5988958314850449e+05 4.9345531818278128e+05 4.3271457663962489e+05 3.7794102633619215e+05 3.2875846882822091e+05 2.8462891191892460e+05 2.4504323191029907e+05 2.0955660965555659e+05 1.7809923082775477e+05 1.5347420518582454e+05 1.4146950454950487e+05 1.3154204064776094e+05 1.1291856655925859e+05 9.1832542155369898e+04 7.2260009398401715e+04 5.4650256440038858e+04 3.8846298034205764e+04 2.4654527147358309e+04 1.1894699911678788e+04 4.0168135125919406e+02 -9.9762958758973873e+03 -1.9379561367983220e+04 -2.7938876671891976e+04 -3.5777232047861231e+04 -4.3011591097845012e+04 -4.9754619336263808e+04 -5.6116416236262914e+04 -6.2652089189216080e+04 -6.9011016431066862e+04 -7.5334818150530962e+04 -8.1772958377262228e+04 -8.8486757558862431e+04 -9.5654356107665022e+04 -1.0347708903752975e+05 -1.1218793400630084e+05 -1.2206314572151731e+05 -1.3343776600608052e+05 -1.4673128511818231e+05 -1.6247320075770479e+05 -1.8134963713640839e+05 -2.0428744006727374e+05 -2.3253917479253514e+05 -2.6785099253469188e+05 -3.1269604927945690e+05 -3.7064781087570812e+05 -4.4693178938674013e+05 -5.4918679294493422e+05 -6.8835718341808149e+05 -8.7928934043767559e+05 -1.1402245970797692e+06 -1.4901061923391200e+06 -1.9432992938928911e+06 -2.5028421443862147e+06 -3.1550019405444055e+06 -3.8682134758981690e+06 -4.5973252066467386e+06 -5.2925779502938334e+06 -5.9096717573792841e+06 -6.4177907629634244e+06 -6.8038860056338105e+06 -7.0726424975965852e+06 -7.2413926155726379e+06 -7.3346627396171903e+06 -7.3774245051182918e+06 -7.3905928330171742e+06 -7.3887548403561423e+06 -7.3831209800252849e+06 -7.3758064043191522e+06 -7.3676369085330935e+06 -7.3588027050303817e+06 -7.3495994997931495e+06 -7.3398916700634789e+06 -7.3296841199031621e+06 -7.3185669116717018e+06 -7.3066676204739474e+06 -7.2937671522636069e+06 -7.2796942757628514e+06 -7.2642409026626078e+06 -7.2471726144987410e+06 -7.2282208067879137e+06 -7.2070887310344549e+06 -7.1834532089506192e+06 -7.1569513894890528e+06 -7.1271984362410801e+06 -7.0937801998076644e+06 -7.0562695588578200e+06 -7.0142381180537520e+06 -6.9672777782312566e+06 -6.9151300367879635e+06 -6.8573357851767261e+06 -6.7939004011813002e+06 -6.7249706223099278e+06 -6.6510871317869676e+06 -6.5731699801641246e+06 -6.4929705319154086e+06 -6.4131553816985283e+06 -6.3376972062571375e+06 -6.2723760329581974e+06 -6.2254199528525313e+06 -6.2085965732208127e+06 -6.2388065810073195e+06 -6.3408414451970002e+06 -6.5522577710457277e+06 -6.9325467494035698e+06 -7.5814015884302277e+06 2.0182220810118839e+05 +2.7688208919768649e-02 -2.3093958364970462e+04 1.1996174004877340e+05 3.6523326129436534e+05 6.8294016571499256e+05 9.9223148193985852e+05 1.1714834965258418e+06 1.1659310839190497e+06 1.0653237232330309e+06 9.6155164677358954e+05 8.7305290693855588e+05 7.8863616105262842e+05 7.0672469712821883e+05 6.2956146492901829e+05 5.5791029481388361e+05 4.9154906448199792e+05 4.3087505794625287e+05 3.7616160893201537e+05 3.2703289686194790e+05 2.8295148448139633e+05 2.4340877271142980e+05 2.0796039858832426e+05 1.7653664184969626e+05 1.5193800559380715e+05 1.3994716699052844e+05 1.3003115877915145e+05 1.1142665701225476e+05 9.0360986578641561e+04 7.0806361172503370e+04 5.3211594965079930e+04 3.7419782420063362e+04 2.3237407860770247e+04 1.0484280699303876e+04 -1.0047238611845268e+03 -1.1381408512749686e+04 -2.0786186790603952e+04 -2.9349956530925381e+04 -3.7195901676932779e+04 -4.4441243096077873e+04 -5.1198975038472054e+04 -5.7579606620481311e+04 -6.4140697496697219e+04 -7.0531156730876508e+04 -7.6893538073145610e+04 -8.3378444491359129e+04 -9.0148586237136202e+04 -9.7383804880633397e+04 -1.0528752949913478e+05 -1.1409533603421308e+05 -1.2408673794664156e+05 -1.3560090394412883e+05 -1.4906266771355152e+05 -1.6500843728867362e+05 -1.8413344784496192e+05 -2.0737698404772329e+05 -2.3600852392902973e+05 -2.7179784689216706e+05 -3.1725145405099186e+05 -3.7599046681311593e+05 -4.5330847019680456e+05 -5.5693951390877389e+05 -6.9795439046491811e+05 -8.9135049317348236e+05 -1.1555185090879244e+06 -1.5095002477556251e+06 -1.9676508672106757e+06 -2.5328524807752343e+06 -3.1910789312810572e+06 -3.9103926223550686e+06 -4.6452681274462761e+06 -5.3456427403034810e+06 -5.9670212255608132e+06 -6.4785059155129986e+06 -6.8670684351073075e+06 -7.1374958104165075e+06 -7.3072689250755180e+06 -7.4010859813196929e+06 -7.4440802564647039e+06 -7.4572979580871314e+06 -7.4554165330369202e+06 -7.4497246648760224e+06 -7.4423412436970016e+06 -7.4340970394433662e+06 -7.4251828308124132e+06 -7.4158965229047826e+06 -7.4061011080164146e+06 -7.3958014652370820e+06 -7.3845839741806276e+06 -7.3725773459168486e+06 -7.3595605094318483e+06 -7.3453606888881605e+06 -7.3297679189559463e+06 -7.3125456664795885e+06 -7.2934229075798532e+06 -7.2721001979571395e+06 -7.2482514715058748e+06 -7.2215105922108935e+06 -7.1914892520891279e+06 -7.1577695660179835e+06 -7.1199205599029977e+06 -7.0775099739730814e+06 -7.0301260312648239e+06 -6.9775078791628713e+06 -6.9191922941396534e+06 -6.8551846911214748e+06 -6.7856331311136615e+06 -6.7110831747605279e+06 -6.6324631720010582e+06 -6.5515402853492601e+06 -6.4710051666825246e+06 -6.3948663113522893e+06 -6.3289559097112641e+06 -6.2815762635333342e+06 -6.2646011324604135e+06 -6.2950836499163220e+06 -6.3980389150001686e+06 -6.6113623135492913e+06 -6.9950816748842541e+06 -7.6497893887827983e+06 2.0430022562194598e+05 +2.7858857946774944e-02 -2.4462443295736801e+04 1.1843834572349439e+05 3.6344566210512101e+05 6.8080948014830309e+05 9.8976532698307745e+05 1.1688218870828040e+06 1.1632744118426135e+06 1.0627754932699755e+06 9.5911576371960901e+05 8.7071325499280100e+05 7.8638867880837969e+05 7.0456690232486383e+05 6.2748832877187990e+05 5.5591586701938591e+05 4.8962755146543041e+05 4.2902017333050014e+05 3.7436673117856152e+05 3.2529178079196537e+05 2.8125843845493830e+05 2.4175862822718589e+05 2.0634844200961449e+05 1.7495825211211113e+05 1.5038595232270000e+05 1.3840891805296115e+05 1.2850430063233865e+05 1.0991870615916098e+05 8.8873326042740809e+04 6.9336543551597992e+04 5.1756696822867598e+04 3.5976958037840566e+04 2.1803900758194846e+04 9.0573853585652305e+03 -2.4277053448663605e+03 -1.2803212264248741e+04 -2.2209636110151197e+04 -3.0778014686382507e+04 -3.8631729821569621e+04 -4.5888264473183452e+04 -5.2660947188677710e+04 -5.9060703161305741e+04 -6.5647579328664084e+04 -7.2070006659928811e+04 -7.8471485332036114e+04 -8.5003772564964558e+04 -9.1830986757128980e+04 -9.9134692776330441e+04 -1.0712044072584619e+05 -1.1602643801123188e+05 -1.2613549819204818e+05 -1.3779096894235990e+05 -1.5142309448687790e+05 -1.6757527959190888e+05 -1.8695198375103113e+05 -2.1050508436174190e+05 -2.3952118000634742e+05 -2.7579396567972458e+05 -3.2186368676603725e+05 -3.8139967452567263e+05 -4.5976433767654235e+05 -5.6478791953579593e+05 -7.0766869557101291e+05 -9.0355592717702454e+05 -1.1709898117468758e+06 -1.5291096665885088e+06 -1.9922581812538709e+06 -2.5631579225774575e+06 -3.2274859535193755e+06 -3.9529298618293647e+06 -4.6935894442055617e+06 -5.3990990630889265e+06 -6.0247697329880344e+06 -6.5396237787224073e+06 -6.9306549823652701e+06 -7.2027534918052983e+06 -7.3735493249454480e+06 -7.4679128287472352e+06 -7.5111390518215401e+06 -7.5244055363824945e+06 -7.5224800736885080e+06 -7.5167297562111719e+06 -7.5092770380707700e+06 -7.5009576621899679e+06 -7.4919629622756047e+06 -7.4825930498485882e+06 -7.4727095218325257e+06 -7.4623172312284037e+06 -7.4509988530314788e+06 -7.4388842409170680e+06 -7.4257503349330220e+06 -7.4114228053890737e+06 -7.3956897986402614e+06 -7.3783126540799122e+06 -7.3590179139062492e+06 -7.3375034214424938e+06 -7.3134402058686474e+06 -7.2864588261833265e+06 -7.2561674818756953e+06 -7.2221445296482379e+06 -7.1839551193839647e+06 -7.1411631036118325e+06 -7.0933530054575233e+06 -7.0402616077922303e+06 -6.9814215478287209e+06 -6.9168382776084924e+06 -6.8466611896378957e+06 -6.7714407513458412e+06 -6.6921136621006941e+06 -6.6104629776366511e+06 -6.5292035520911040e+06 -6.4523799149236856e+06 -6.3858767342932131e+06 -6.3380709696555734e+06 -6.3209431727691153e+06 -6.3516998420431763e+06 -6.4555810542868078e+06 -6.6708230174275562e+06 -7.0579934331756933e+06 -7.7185892899576295e+06 2.0680855970064149e+05 +2.8030558724383911e-02 -2.5846642214620835e+04 1.1689944927945195e+05 3.6164291759144538e+05 6.7866410216590972e+05 9.8728491629853309e+05 1.1661462177727101e+06 1.1606035972971430e+06 1.0602129239996406e+06 9.5666533895907982e+05 8.6835887959298107e+05 7.8412630519225297e+05 7.0239405789851432e+05 6.2539999689659162e+05 5.5390611109136790e+05 4.8769059073106665e+05 4.2714973458962113e+05 3.7255620501620328e+05 3.2353493263007893e+05 2.7954958585195529e+05 2.4009261039927212e+05 2.0472055173314203e+05 1.7336387325167871e+05 1.4881785685961603e+05 1.3685456929448160e+05 1.2696127785746663e+05 1.0839452543381166e+05 8.7369371546161332e+04 6.7850366967631402e+04 5.0285371756726978e+04 3.4517633811385844e+04 2.0353813798605381e+04 7.6138207206953266e+03 -3.8674575808948834e+03 -1.4241903134893626e+04 -2.3650107097378721e+04 -3.2223250955930231e+04 -4.0084918672133383e+04 -4.7352860170971275e+04 -5.4140743921527101e+04 -6.0559917701299120e+04 -6.7172951185757265e+04 -7.3627788199678704e+04 -8.0068888364708182e+04 -8.6649178649451336e+04 -9.3534204162014968e+04 -1.0090727547316908e+05 -1.0897609100028928e+05 -1.1798152319446950e+05 -1.2820972755938431e+05 -1.4000828344832963e+05 -1.5381291354717468e+05 -1.7017410679992827e+05 -1.8980566174525497e+05 -2.1367220424320703e+05 -2.4307766365501125e+05 -2.7983994132262899e+05 -3.2653343051820004e+05 -3.8687623246710928e+05 -4.6630033728829859e+05 -5.7273314074723958e+05 -7.1750145701006218e+05 -9.1590726494681987e+05 -1.1866404104808341e+06 -1.5489366246539848e+06 -2.0171236331243652e+06 -2.5937610098713408e+06 -3.2642256005483116e+06 -3.9958277596710096e+06 -4.7422916358180828e+06 -5.4529492801646572e+06 -6.0829195176491523e+06 -6.6011464785293778e+06 -6.9946476826354926e+06 -7.2684175104664201e+06 -7.4402357393673286e+06 -7.5351451788582765e+06 -7.5786027726513976e+06 -7.5919174408165291e+06 -7.5899473301723478e+06 -7.5841381192373866e+06 -7.5766156503148219e+06 -7.5682206373890415e+06 -7.5591449577633701e+06 -7.5496909366124459e+06 -7.5397187650755793e+06 -7.5292332688412946e+06 -7.5178133963990686e+06 -7.5055901506223576e+06 -7.4923384706706693e+06 -7.4778824636299182e+06 -7.4620083761654058e+06 -7.4444754074286018e+06 -7.4250076511318749e+06 -7.4033002215039665e+06 -7.3790212260752795e+06 -7.3517978987358259e+06 -7.3212349254526319e+06 -7.2869068820939949e+06 -7.2483750192330778e+06 -7.2051992782801138e+06 -7.1569604602779020e+06 -7.1033929689622959e+06 -7.0440252779159043e+06 -6.9788628763029063e+06 -6.9080564961218163e+06 -6.8321615411501816e+06 -6.7521231103806421e+06 -6.6697402484398326e+06 -6.5877521574334214e+06 -6.5102396174327563e+06 -6.4431400906572966e+06 -6.3949056433297833e+06 -6.3776242620120319e+06 -6.4086567328708088e+06 -6.5134694643013896e+06 -6.7306415373254083e+06 -7.1212837749581346e+06 -7.7878032064688345e+06 2.0934757920519102e+05 +2.8203317734785040e-02 -2.7246751143235513e+04 1.1534485293260285e+05 3.5982483131542685e+05 6.7650384140951582e+05 9.8479003055406408e+05 1.1634562803256880e+06 1.1579184566850481e+06 1.0576358248943875e+06 9.5420017523691570e+05 8.6598958899754391e+05 7.8184884778437018e+05 7.0020597159553645e+05 6.2329627763460064e+05 5.5188083576726040e+05 4.8573799140631960e+05 4.2526355102900363e+05 3.7072983989004447e+05 3.2176216189280374e+05 2.7782473619865306e+05 2.3841052868285781e+05 2.0307653708223201e+05 1.7175331441491336e+05 1.4723352819858576e+05 1.3528392977312929e+05 1.2540189959587241e+05 1.0685392375489188e+05 8.5848931567986452e+04 6.6347639328475503e+04 4.8797426980688258e+04 3.3041616128248417e+04 1.8886952396697601e+04 6.1533910629583206e+03 -5.3241776161579219e+03 -1.5697679709308895e+04 -2.5107800120484622e+04 -3.3685867775503240e+04 -4.1555673062099428e+04 -4.8835237804086690e+04 -5.5638576079820290e+04 -6.2077464833515143e+04 -6.8717032372652364e+04 -7.5204726199975441e+04 -8.1685978554073416e+04 -8.8314901833300522e+04 -9.5258486640931442e+04 -1.0270181192590171e+05 -1.1085475203651878e+05 -1.1996087845643716e+05 -1.3030973098587716e+05 -1.4225317400895306e+05 -1.5623247741934177e+05 -1.7280530284455989e+05 -1.9269490398269577e+05 -2.1687881275795397e+05 -2.4667850203817853e+05 -2.8393637364951352e+05 -3.3126137689247809e+05 -3.9242094893975981e+05 -4.7291742601545487e+05 -5.8077632196891308e+05 -7.2745404877020896e+05 -9.2840614689594763e+05 -1.2024722304800600e+06 -1.5689833186865235e+06 -2.0422496411142675e+06 -2.6246643033800749e+06 -3.3013004852447282e+06 -4.0390888996203127e+06 -4.7913771984986309e+06 -5.5071957695653131e+06 -6.1414728335255245e+06 -6.6630761565856058e+06 -7.0590485867248839e+06 -7.3344898506205520e+06 -7.5073301080176746e+06 -7.6027849440563573e+06 -7.6464733158461871e+06 -7.6598355596761573e+06 -7.6578201857033269e+06 -7.6519516345136976e+06 -7.6443589586220747e+06 -7.6358878409836711e+06 -7.6267306909141280e+06 -7.6171920544863762e+06 -7.6071307065432798e+06 -7.5965514442740418e+06 -7.5850294676603954e+06 -7.5726969353982368e+06 -7.5593267737050913e+06 -7.5447415170732811e+06 -7.5287255010722084e+06 -7.5110357717234474e+06 -7.4913939596327385e+06 -7.4694924331286224e+06 -7.4449963611048199e+06 -7.4175296321083484e+06 -7.3866933974664928e+06 -7.3520584295021668e+06 -7.3131820560352765e+06 -7.2696202838697489e+06 -7.2209501696466738e+06 -7.1669037233294388e+06 -7.1070052303486113e+06 -7.0412602169973496e+06 -6.9698207628252804e+06 -6.8932472375937169e+06 -6.8124931904381644e+06 -6.7293737509405138e+06 -6.6466526155666700e+06 -6.5684470325043071e+06 -6.5007475758103710e+06 -6.4520818695990518e+06 -6.4346459809455089e+06 -6.4659559108683662e+06 -6.5717057594824396e+06 -6.7908195414962983e+06 -7.1849544653291414e+06 -7.8574330685964264e+06 2.1191765745374476e+05 +2.8377141500119107e-02 -2.8662967740785931e+04 1.1377436066710517e+05 3.5799120630098617e+05 6.7432848853808234e+05 9.8228048210202379e+05 1.1607518902703389e+06 1.1552187906066161e+06 1.0550439884503619e+06 9.5172007327413745e+05 8.6360518805905711e+05 7.7955611180341779e+05 6.9800244868888403e+05 6.2117697673847165e+05 5.4983984719889320e+05 4.8376956009031471e+05 4.2336142944082042e+05 3.6888744272604160e+05 3.1997327557468053e+05 2.7608369650412339e+05 2.3671219001870832e+05 2.0141620486252930e+05 1.7012638222949186e+05 1.4563277281188432e+05 1.3369680601878464e+05 1.2382597245098148e+05 1.0529670749773222e+05 8.4311812039496654e+04 6.4828165989269131e+04 4.7292667150101151e+04 3.1548708810805230e+04 1.7403119393825455e+04 4.6758980793086412e+03 -6.7980650929005496e+03 -1.7170743182043316e+04 -2.6582918175071543e+04 -3.5166070229620069e+04 -4.3044200498811661e+04 -5.0335607691146775e+04 -5.7154657246614261e+04 -6.3613561933576013e+04 -7.0280045031373593e+04 -7.6801048413271506e+04 -8.3322990263372354e+04 -9.0001184278241431e+04 -9.7004085566883688e+04 -1.0451856440468966e+05 -1.1275669902056946e+05 -1.2196479432884035e+05 -1.3243581729092469e+05 -1.4452597131986675e+05 -1.5868214309797811e+05 -1.7546925651428846e+05 -1.9562013794430907e+05 -2.2012538487424870e+05 -2.5032422893132910e+05 -2.8808386998277414e+05 -3.3604822606771474e+05 -3.9803464221369009e+05 -4.7961657249653951e+05 -5.8891862128955917e+05 -7.3752786072396452e+05 -9.4105423153251735e+05 -1.2184872168793951e+06 -1.5892519665071857e+06 -2.0676386448503614e+06 -2.6558703846101435e+06 -3.3387132401879574e+06 -4.0827158838801910e+06 -4.8408486458317395e+06 -5.5618409259006931e+06 -6.2004319506798005e+06 -6.7254149703638181e+06 -7.1238597610982163e+06 -7.4009725120446663e+06 -7.5748343860840742e+06 -7.6708340522401482e+06 -7.7147525937583931e+06 -7.7281617967342166e+06 -7.7261005389342271e+06 -7.7201721979971966e+06 -7.7125088565788073e+06 -7.7039611643055268e+06 -7.6947220507225627e+06 -7.6850982901002914e+06 -7.6749472303719725e+06 -7.6642736390382471e+06 -7.6526489454628741e+06 -7.6402064708294580e+06 -7.6267171163257491e+06 -7.6120018344013467e+06 -7.5958430380669367e+06 -7.5779956072921315e+06 -7.5581786948580155e+06 -7.5360819063555617e+06 -7.5113674549187636e+06 -7.4836558634587890e+06 -7.4525447274353988e+06 -7.4176009928131467e+06 -7.3783780411119787e+06 -7.3344279209055798e+06 -7.2853239220461873e+06 -7.2307956459684875e+06 -7.1703631653704522e+06 -7.1040320436521359e+06 -7.0319557159971651e+06 -6.9546995479775360e+06 -6.8732255895679519e+06 -6.7893651518521858e+06 -6.7059065727086235e+06 -6.6270037870011069e+06 -6.5587007998324502e+06 -6.5096012465007175e+06 -6.4920099232941624e+06 -6.5235989775011828e+06 -6.6302915674908971e+06 -6.8513587118780846e+06 -7.2490072838411471e+06 -7.9274808224437544e+06 2.1451917226766254e+05 +2.8552036582724392e-02 -3.0095492665899488e+04 1.1218776807395479e+05 3.5614184146858950e+05 6.7213785705681692e+05 9.7975606543397414e+05 1.1580328370236226e+06 1.1525043881825896e+06 1.0524372203758499e+06 9.4922483897408936e+05 8.6120547654289985e+05 7.7724789935577183e+05 6.9578329198390630e+05 6.1904189747492678e+05 5.4778294900261331e+05 4.8178510080993193e+05 4.2144317408338963e+05 3.6702881790462323e+05 3.1816807812449289e+05 2.7432627123167960e+05 2.3499739880470408e+05 1.9973935933348295e+05 1.6848288077570702e+05 1.4401539462133314e+05 1.3209300200400961e+05 1.2223330045988318e+05 1.0372268046512119e+05 8.2757816315084085e+04 6.3291749723391164e+04 4.5770894333038297e+04 3.0038713086959619e+04 1.5902115028404027e+04 3.1811408506956127e+03 -8.2893222786506030e+03 -1.8661297387746603e+04 -2.8075666914820795e+04 -3.6664066082264908e+04 -4.4550711194723961e+04 -5.1854182886766532e+04 -5.8689203777038543e+04 -6.5168429192691568e+04 -7.1862214174739041e+04 -7.8416985529043362e+04 -8.4980160871944274e+04 -9.1708271256301421e+04 -9.8771255535376811e+04 -1.0635779853515310e+05 -1.1468221065259747e+05 -1.2399356504647643e+05 -1.3458829922276747e+05 -1.4682701027636210e+05 -1.6116227210206853e+05 -1.7816636151430430e+05 -1.9858179650437646e+05 -2.2341240153527071e+05 -2.5401538480238768e+05 -2.9228304522965115e+05 -3.4089468692150852e+05 -4.0371814064466831e+05 -4.8639875716296735e+05 -5.9716121060953732e+05 -7.4772429879852082e+05 -9.5385319564253232e+05 -1.2346873349412815e+06 -1.6097448071948832e+06 -2.0932931054513101e+06 -2.6873818559665075e+06 -3.3764665177629641e+06 -4.1267113332207999e+06 -4.8907085088760685e+06 -5.6168871604353217e+06 -6.2597991553058233e+06 -6.7881650931486282e+06 -7.1890832879045401e+06 -7.4678675101558585e+06 -7.6427505443504006e+06 -7.7392944468553392e+06 -7.7834425342648365e+06 -7.7968980712296031e+06 -7.7947903039844353e+06 -7.7888017211064063e+06 -7.7810672532333340e+06 -7.7724425140814055e+06 -7.7631209415958840e+06 -7.7534115454391912e+06 -7.7431702360448111e+06 -7.7324017499709027e+06 -7.7206737237770511e+06 -7.7081206477937931e+06 -7.6945113860700894e+06 -7.6796652995249825e+06 -7.6633628670523250e+06 -7.6453567896202886e+06 -7.6253637274041967e+06 -7.6030705062882174e+06 -7.5781363665105691e+06 -7.5501784449205045e+06 -7.5187907598078875e+06 -7.4835364078198420e+06 -7.4439648005516054e+06 -7.3996240045949658e+06 -7.3500835205242401e+06 -7.2950705264438735e+06 -7.2341008575845845e+06 -7.1671801144500971e+06 -7.0944630959939063e+06 -7.0165201935307588e+06 -6.9343220088346340e+06 -6.8497161314737517e+06 -6.7655156885197042e+06 -6.6859115210341718e+06 -6.6170013859551810e+06 -6.5674653850985067e+06 -6.5497176957679009e+06 -6.5815875472956374e+06 -6.6892285292636361e+06 -6.9122607441274654e+06 -7.3134440245605595e+06 -7.9979484299949650e+06 2.1715250602511541e+05 +2.8728009585384431e-02 -3.1544528901032158e+04 1.1058487672852406e+05 3.5427653352133906e+05 6.6993173058675067e+05 9.7721657007601333e+05 1.1552989213243402e+06 1.1497750540073030e+06 1.0498153153432645e+06 9.4671427267263504e+05 8.5879025172993692e+05 7.7492400957880728e+05 6.9354830182484095e+05 6.1689084065120190e+05 5.4570994229289936e+05 4.7978441500696680e+05 4.1950858665410639e+05 3.6515376723627001e+05 3.1634637142043223e+05 2.7255226226801286e+05 2.3326595686509798e+05 1.9804580217938291e+05 1.6682261155705590e+05 1.4238119496887235e+05 1.3047231911507291e+05 1.2062368506407188e+05 1.0213164385832270e+05 8.1186745142845844e+04 6.1738190692802003e+04 4.4231907980054566e+04 2.8511427560302851e+04 1.4383736906110469e+04 1.6689158149258574e+03 -9.7981540965407548e+03 -2.0169548831754208e+04 -2.9586254682209430e+04 -3.8180065808055879e+04 -4.6075418099159549e+04 -5.3391179213193594e+04 -6.0242434831055310e+04 -6.6742289650671111e+04 -7.3463767720333621e+04 -8.0052771208457430e+04 -8.6657730810828842e+04 -9.3436411186117257e+04 -1.0056025440172236e+05 -1.0821978333816511e+05 -1.1663156918890997e+05 -1.2604748859172476e+05 -1.3676749350631880e+05 -1.4915663002359896e+05 -1.6367323052922334e+05 -1.8089701652546544e+05 -2.0158031799519993e+05 -2.2674034973168460e+05 -2.5775251689402896e+05 -2.9653452197369945e+05 -3.4580147713432671e+05 -4.0947228279624891e+05 -4.9326497237673250e+05 -6.0550527580235235e+05 -7.5804478514979884e+05 -9.6680473446868407e+05 -1.2510745702356549e+06 -1.6304641012567407e+06 -2.1192155056744195e+06 -2.7192013408882143e+06 -3.4145629902628921e+06 -4.1710778870668975e+06 -4.9409593362199198e+06 -5.6723369011493167e+06 -6.3195767498072665e+06 -6.8513287141553992e+06 -7.2547212650491223e+06 -7.5351768760322034e+06 -7.7110805692096744e+06 -7.8081680869538086e+06 -7.8525450808304911e+06 -7.8660463179613054e+06 -7.8638914105026405e+06 -7.8578421307706218e+06 -7.8500360730788913e+06 -7.8413338125306368e+06 -7.8319292833851837e+06 -7.8221337379592992e+06 -7.8118016384647395e+06 -7.8009376893100329e+06 -7.7891057119262516e+06 -7.7764413725329619e+06 -7.7627114858080586e+06 -7.7477338116168119e+06 -7.7312868831991535e+06 -7.7131212094278382e+06 -7.6929509430357227e+06 -7.6704601131862029e+06 -7.6453049699681420e+06 -7.6170992436710149e+06 -7.5854333539782055e+06 -7.5498665252175089e+06 -7.5099441752452385e+06 -7.4652103648806773e+06 -7.4152307827774379e+06 -7.3597301688296348e+06 -7.2982200959896091e+06 -7.2307062018386703e+06 -7.1573446572821923e+06 -7.0787109094461929e+06 -6.9957841631004196e+06 -6.9104283837511288e+06 -6.8254816361189364e+06 -6.7451718880448248e+06 -6.6756509705532789e+06 -6.6256759095314434e+06 -6.6077709181210194e+06 -6.6399232478984641e+06 -6.7485182990568038e+06 -6.9735273476428278e+06 -7.3782664961073231e+06 -8.0688378691174369e+06 2.1981804571531268e+05 +2.8905067151577282e-02 -3.3010282242360263e+04 1.0896547797503241e+05 3.5239507175625383e+05 6.6770990034813713e+05 9.7466180417136953e+05 1.1525499400758885e+06 1.1470305809131102e+06 1.0471780742868956e+06 9.4418816899083601e+05 8.5635931100576592e+05 7.7258423952802981e+05 6.9129727598065755e+05 6.1472360453663091e+05 5.4362062565658905e+05 4.7776730153555970e+05 4.1755746625937661e+05 3.6326208993348083e+05 3.1450795474531862e+05 2.7076146889383486e+05 2.3151766342136267e+05 1.9633533248008776e+05 1.6514537347035843e+05 1.4072997258697439e+05 1.2883455612184500e+05 1.1899692507977562e+05 1.0052339624729301e+05 7.9598396634991484e+04 6.0167286418512602e+04 4.2675504894666359e+04 2.6966648180006170e+04 1.2847779969448169e+04 1.3901673618374525e+02 -1.1324768156082404e+04 -2.1695706721133756e+04 -3.1114892539917608e+04 -3.9714282623950043e+04 -4.7618536930086935e+04 -5.4946815293224325e+04 -6.1814572406610219e+04 -6.8335369229675372e+04 -7.5084936524817866e+04 -8.1708642119875702e+04 -8.8355943599041537e+04 -9.5185855671291865e+04 -1.0237134332135487e+05 -1.1010479127106530e+05 -1.1860506048470015e+05 -1.2812686674004403e+05 -1.3897372089054290e+05 -1.5151517400833679e+05 -1.6621538911181927e+05 -1.8366162526525767e+05 -2.0461614627307779e+05 -2.3010972257541827e+05 -2.6153617930551642e+05 -3.0083893056941032e+05 -3.5076932329756214e+05 -4.1529791756055009e+05 -5.0021622257058875e+05 -6.1395201687131496e+05 -7.6849075833346974e+05 -9.7991056189641298e+05 -1.2676509288258271e+06 -1.6514121308010337e+06 -2.1454083500680509e+06 -2.7513314839795437e+06 -3.4530053500039596e+06 -4.2158182035694066e+06 -4.9916036940722810e+06 -5.7281925928156562e+06 -6.3797670528154392e+06 -6.9149080385381980e+06 -7.3207758062503878e+06 -7.6029026564762956e+06 -7.7798264627609476e+06 -7.8774569472373147e+06 -7.9220621925319182e+06 -7.9356084873410668e+06 -7.9334058037123540e+06 -7.9272953694816595e+06 -7.9194172562082419e+06 -7.9106369973913720e+06 -7.9011490114522148e+06 -7.8912668005684698e+06 -7.8808433680074029e+06 -7.8698833847400369e+06 -7.8579468346702298e+06 -7.8451705666737929e+06 -7.8313193337812470e+06 -7.8162092852353780e+06 -7.7996169969628528e+06 -7.7812907726886440e+06 -7.7609422427547798e+06 -7.7382526224775305e+06 -7.7128751545129111e+06 -7.6844201419516969e+06 -7.6524743843927719e+06 -7.6165932106328933e+06 -7.5763180209740978e+06 -7.5311888464703150e+06 -7.4807675411706287e+06 -7.4247763917729277e+06 -7.3627226840283703e+06 -7.2946120925919721e+06 -7.2206021684960425e+06 -7.1412734449301325e+06 -7.0576137810840495e+06 -6.9715036163173653e+06 -6.8858061021404844e+06 -6.8047865548133524e+06 -6.7346512032382991e+06 -6.6842344570580870e+06 -6.6661712231840594e+06 -6.6986077200776506e+06 -6.8081625444879923e+06 -7.0351602456403049e+06 -7.4434765217257757e+06 -8.1401511336910240e+06 2.2251618299335567e+05 +2.9083215965726345e-02 -3.4492959679970954e+04 1.0732936259292028e+05 3.5049725345299946e+05 6.6547216383297846e+05 9.7209153863881249e+05 1.1497856740042719e+06 1.1442707635999930e+06 1.0445252860452763e+06 9.4164631838128821e+05 8.5391244986089529e+05 7.7022838386507798e+05 6.8903000946990156e+05 6.1253998472841689e+05 5.4151479508443573e+05 4.7573355665756611e+05 4.1558960937728465e+05 3.6135358257901989e+05 3.1265262475692009e+05 2.6895368775334232e+05 2.2975231505921649e+05 1.9460774668174065e+05 1.6345096277649421e+05 1.3906152356880312e+05 1.2717950914799760e+05 1.1735281666803407e+05 9.8897733540951551e+04 7.7992566237597814e+04 5.8578831749996149e+04 4.1101479202870796e+04 2.5404168210410051e+04 1.1294036467189375e+04 -1.4087653258693865e+03 -1.2869374784235064e+04 -2.3239982996038001e+04 -3.2661794302510978e+04 -4.1266932521302391e+04 -4.9180286206823272e+04 -5.6521312582826678e+04 -6.3405841372825198e+04 -6.9947896768149090e+04 -7.6725954418979367e+04 -8.3384837974337192e+04 -9.0075045880629012e+04 -9.6956859537861790e+04 -1.0420478678815329e+05 -1.1201309826831895e+05 -1.2060297403766614e+05 -1.3023200510540183e+05 -1.4120730619767428e+05 -1.5390299003083978e+05 -1.6878912327297853e+05 -1.8646059654899433e+05 -2.0768973078678828e+05 -2.3352101937519346e+05 -2.6536693307664548e+05 -3.0519690923564613e+05 -3.5579896101909759e+05 -4.2119590428358171e+05 -5.0725352438900748e+05 -6.2250264810784790e+05 -7.7906367348449875e+05 -9.9317241063970281e+05 -1.2844184374494087e+06 -1.6725911997053265e+06 -2.1718741651306706e+06 -2.7837749511357150e+06 -3.4917963094231859e+06 -4.2609349597227415e+06 -5.0426441663322803e+06 -5.7844566970550176e+06 -6.4403723993140692e+06 -6.9789052874824554e+06 -7.3872490410718024e+06 -7.6710469141034139e+06 -7.8489902428288646e+06 -7.9471630181067418e+06 -7.9919958441263642e+06 -8.0055865454065902e+06 -8.0033354444727395e+06 -7.9971633953333171e+06 -7.9892127582600042e+06 -7.9803540219813399e+06 -7.9707820767045831e+06 -7.9608126817413159e+06 -7.9502973705569943e+06 -7.9392407794246664e+06 -7.9271990322492095e+06 -7.9143101672809422e+06 -7.9003368636365822e+06 -7.8850936502932040e+06 -7.8683551341915708e+06 -7.8498674007049883e+06 -7.8293395428382903e+06 -7.8064499448447218e+06 -7.7808488245542413e+06 -7.7521430371496538e+06 -7.7199157405244056e+06 -7.6837183447097428e+06 -7.6430882084250934e+06 -7.5975613089213790e+06 -7.5466956428020298e+06 -7.4902110285442388e+06 -7.4276104396569598e+06 -7.3588995878435345e+06 -7.2842374124976574e+06 -7.2042095632535359e+06 -7.1198126054047411e+06 -7.0329435505083511e+06 -6.9464907867781948e+06 -6.8647572015262702e+06 -6.7940037468797117e+06 -6.7431426780951275e+06 -6.7249202569191949e+06 -6.7576426178148277e+06 -6.8681629465645524e+06 -7.0971611751935976e+06 -7.5090759392967233e+06 -8.2118902336088466e+06 2.2524731423573018e+05 +2.9262462753452716e-02 -3.5992773211280197e+04 1.0567632459448658e+05 3.4858286500140023e+05 6.6321830712760286e+05 9.6950558088002063e+05 1.1470059199716467e+06 1.1414953820425658e+06 1.0418567385057489e+06 9.3908850825849967e+05 8.5144945930221817e+05 7.6785623433269397e+05 6.8674629456538626e+05 6.1033977405709960e+05 5.3939224389806506e+05 4.7368297401749023e+05 4.1360480982071365e+05 3.5942803909509582e+05 3.1078017545671319e+05 2.6712871282384190e+05 2.2796970569934993e+05 1.9286283856551506e+05 1.6173917306895333e+05 1.3737564133768104e+05 1.2550697164047541e+05 1.1569115330448723e+05 9.7254448956141743e+04 7.6369046700206891e+04 5.6972618834899979e+04 3.9509622322277493e+04 2.3823778199973338e+04 9.7222959231767964e+03 -2.9746420474055058e+03 -1.4432187056999930e+04 -2.4802592361498097e+04 -3.4227176568429037e+04 -4.2838234298206684e+04 -5.0760887282788681e+04 -5.8114895404525138e+04 -6.5016469504025648e+04 -7.1580104055472431e+04 -7.8387058242704428e+04 -8.5081601561889678e+04 -9.1815287461652493e+04 -9.8749680873060832e+04 -1.0606085267534068e+05 -1.1394498378397455e+05 -1.2262560303122272e+05 -1.3236321318671663e+05 -1.4346857837200386e+05 -1.5632043029777650e+05 -1.7139481318333733e+05 -1.8929434435109852e+05 -2.1080152664420803e+05 -2.3697474571016940e+05 -2.6924534627254115e+05 -3.0960910415260610e+05 -3.6089113503474492e+05 -4.2716711288734857e+05 -5.1437790683214017e+05 -6.3115839825534332e+05 -7.8976500249391422e+05 -1.0065920324278225e+06 -1.3013791437075802e+06 -1.6940036337981531e+06 -2.1986154994566748e+06 -2.8165344296700899e+06 -3.5309386012006281e+06 -4.3064308514284426e+06 -5.0940833546582162e+06 -5.8411316924030632e+06 -6.5013951406472884e+06 -7.0433226982401153e+06 -7.4541431150262477e+06 -7.7396117273296164e+06 -7.9185739430272486e+06 -8.0172883057351736e+06 -8.0623480261091646e+06 -8.0759824739314001e+06 -8.0736823093124675e+06 -8.0674481820788654e+06 -8.0594245505423890e+06 -8.0504868552306825e+06 -8.0408304456753517e+06 -8.0307733455215069e+06 -8.0201656075640982e+06 -8.0090118320979076e+06 -7.9968642603997895e+06 -7.9838621269349717e+06 -7.9697660244924510e+06 -7.9543888521527378e+06 -7.9375032361026499e+06 -7.9188530301523581e+06 -7.8981447748931898e+06 -7.8750540062350184e+06 -7.8492278997280942e+06 -7.8202698418309353e+06 -7.7877593269980177e+06 -7.7512438231240418e+06 -7.7102566232516197e+06 -7.6643296266506156e+06 -7.6130169495442100e+06 -7.5560359270871794e+06 -7.4928851953659980e+06 -7.4235705031196903e+06 -7.3482521864003204e+06 -7.2675210417880537e+06 -7.1823823925962672e+06 -7.0947499214524627e+06 -7.0075374038204001e+06 -6.9250855218024869e+06 -6.8537102776391273e+06 -6.8024022362633720e+06 -6.7840196784565998e+06 -6.8170296082931375e+06 -6.9285211997596445e+06 -7.1595318872547103e+06 -7.5750666014175946e+06 -8.2840571948442217e+06 2.2801184059645011e+05 +2.9442814281829092e-02 -3.7509934971999486e+04 1.0400614533622657e+05 3.4665169175030122e+05 6.6094811649167072e+05 9.6690371482175100e+05 1.1442104566601701e+06 1.1387042286636166e+06 1.0391722208959293e+06 9.3651452695187659e+05 8.4897012715582084e+05 7.6546758011372155e+05 6.8444592082419922e+05 6.0812276260720997e+05 5.3725276270885125e+05 4.7161534459357616e+05 4.1160285869960079e+05 3.5748525071130873e+05 3.0889039815605996e+05 2.6528633538792765e+05 2.2616962656443933e+05 1.9110039921716624e+05 1.6000979524382157e+05 1.3567211661670296e+05 1.2381673433835896e+05 1.1401172574828794e+05 9.5593332987604779e+04 7.4727628044672383e+04 5.5348437087684892e+04 3.7899722931075215e+04 2.2225265949973742e+04 8.1323451048563747e+03 -4.5588278721395027e+03 -1.6013420831317788e+04 -2.6383752319699739e+04 -3.5811258752771071e+04 -4.4428409592512566e+04 -5.2360564378721559e+04 -5.9727790981150945e+04 -6.6646687513936544e+04 -7.3232225866679320e+04 -8.0068487880853354e+04 -8.6799178788227029e+04 -9.3576921348054253e+04 -1.0056458106427832e+05 -1.0793981227547789e+05 -1.1590073083310605e+05 -1.2467324437935800e+05 -1.3452080441461422e+05 -1.4575787052999303e+05 -1.5876785147549721e+05 -1.7403284381885981e+05 -1.9216328786932956e+05 -2.1395199468269647e+05 -2.4047141350788772e+05 -2.7317199406884320e+05 -3.1407616955661273e+05 -3.6604659931592189e+05 -4.3321242399961344e+05 -5.2159041139827506e+05 -6.3992051066997834e+05 -8.0059623418374429e+05 -1.0201711981897128e+06 -1.3185351162506561e+06 -1.7156517810282046e+06 -2.2256349238911658e+06 -2.8496126284506028e+06 -3.5704349783493457e+06 -4.3523085935942801e+06 -5.1459238785579512e+06 -5.8982200743939430e+06 -6.5628376446110951e+06 -7.1081625241996413e+06 -7.5214601895573055e+06 -7.8085991904699616e+06 -7.9885796128125126e+06 -8.0878348320790343e+06 -8.1331207447297936e+06 -8.1467982704185415e+06 -8.1444483904873170e+06 -8.1381517192019913e+06 -8.1300546200486999e+06 -8.1210374817607980e+06 -8.1112961005364219e+06 -8.1011507715923069e+06 -8.0904500560956756e+06 -8.0791985170524959e+06 -8.0669444904480893e+06 -8.0538284137428310e+06 -8.0396087809966849e+06 -8.0240968516568178e+06 -8.0070632593854778e+06 -7.9882496131168874e+06 -7.9673598859130396e+06 -7.9440667479394311e+06 -7.9180143149556862e+06 -7.8888024837665083e+06 -7.8560070635649152e+06 -7.8191715566362515e+06 -7.7778251661173580e+06 -7.7314956889980547e+06 -7.6797333380939988e+06 -7.6222529500325099e+06 -7.5585487982284985e+06 -7.4886266684117867e+06 -7.4126483016277859e+06 -7.3312096720520798e+06 -7.2453249132072264e+06 -7.1569244780813726e+06 -7.0689476807075059e+06 -6.9857732227456747e+06 -6.9137724850379834e+06 -6.8620148084266139e+06 -6.8434711601221757e+06 -6.8767703719980987e+06 -6.9892390120298974e+06 -7.2222741467326554e+06 -7.6414503754199920e+06 -8.3566540594878206e+06 2.3081016806384662e+05 +2.9624277359635253e-02 -3.9044661097599914e+04 1.0231861116895832e+05 3.4470351929627336e+05 6.5866137606391904e+05 9.6428570234672632e+05 1.1413990664356309e+06 1.1358970873537131e+06 1.0364715182409289e+06 9.3392416357581399e+05 8.4647423858345475e+05 7.6306220800466079e+05 6.8212867515956645e+05 6.0588873781591479e+05 5.3509613940124260e+05 4.6953045663472242e+05 4.0958354438978311e+05 3.5552500593650632e+05 3.0698308144151664e+05 2.6342634400275082e+05 2.2435186614870472e+05 1.8932021699568824e+05 1.5826261746838820e+05 1.3395073739733675e+05 1.2210858524223845e+05 1.1231432201114163e+05 9.3914173376027087e+04 7.3068097533914130e+04 5.3706073158373030e+04 3.6271566936293959e+04 2.0608416482784225e+04 6.5239679913191203e+03 -6.1615400434513876e+03 -1.7613294777483490e+04 -2.7983683202504046e+04 -3.7414263119952055e+04 -4.6037682915082965e+04 -5.3979544616523919e+04 -6.1360229470214414e+04 -6.8296729090525376e+04 -7.4904499997899271e+04 -8.1770486299331373e+04 -8.8537818711636661e+04 -9.5360203783764970e+04 -1.0240182483831362e+05 -1.0984194034135890e+05 -1.1788062603513157e+05 -1.2674619877132987e+05 -1.3670509619871076e+05 -1.4807552001043767e+05 -1.6124561474401332e+05 -1.7670360501889422e+05 -1.9506785158644311e+05 -2.1714160153750842e+05 -2.4401154112135517e+05 -2.7714745883877866e+05 -3.1859876783948491e+05 -3.7126611718416825e+05 -4.3933272907818761e+05 -5.2889209223060473e+05 -6.4879024348825892e+05 -8.1155887449484575e+05 -1.0339116982489711e+06 -1.3358884449665460e+06 -1.7375380116427443e+06 -2.2529350316924118e+06 -2.8830122780214380e+06 -3.6102882143253670e+06 -4.3985709202288287e+06 -5.1981683754590312e+06 -5.9557243555920497e+06 -6.6247022954773502e+06 -7.1734270349392705e+06 -7.5892024421565523e+06 -7.8780114137835223e+06 -8.0590093175208010e+06 -8.1588046349601131e+06 -8.2043160220889291e+06 -8.2180359481692789e+06 -8.2156356960368799e+06 -8.2092760119252792e+06 -8.2011049695041999e+06 -8.1920079018992679e+06 -8.1821810391701460e+06 -8.1719469553275220e+06 -8.1611527088909820e+06 -8.1498028242621161e+06 -8.1374417093176963e+06 -8.1242110114094121e+06 -8.1098671133483024e+06 -8.0942196251978464e+06 -8.0770371762246462e+06 -8.0580591171493381e+06 -8.0369868382985219e+06 -8.0134901266330853e+06 -7.9872100204912955e+06 -7.9577429060169617e+06 -7.9246608852206292e+06 -7.8875034711609827e+06 -7.8457957527478170e+06 -7.7990614002778046e+06 -7.7468467000131924e+06 -7.6888639747861950e+06 -7.6246031099515380e+06 -7.5540699282209119e+06 -7.4774275839521755e+06 -7.3952772597637717e+06 -7.3086419517937219e+06 -7.2194689831764959e+06 -7.1307233585587712e+06 -7.0468220249954835e+06 -6.9741920719624516e+06 -6.9219820847303355e+06 -6.9032763875042452e+06 -6.9368666027042530e+06 -7.0503181048537269e+06 -7.2853897325125868e+06 -7.7082291434355332e+06 -8.4296828858187608e+06 2.3364270751802356e+05 +2.9806858837615111e-02 -4.0597170481025445e+04 1.0061350240250722e+05 3.4273812213230092e+05 6.5635786553090054e+05 9.6165133333250915e+05 1.1385715293741967e+06 1.1330737415273255e+06 1.0337544090008602e+06 9.3131720092741807e+05 8.4396157768159616e+05 7.6063990181475796e+05 6.7979434194799897e+05 6.0363748448573251e+05 5.3292215912718640e+05 4.6742809559043474e+05 4.0754665250274370e+05 3.5354709052964486e+05 3.0505801114142907e+05 2.6154852447065056e+05 2.2251621018579908e+05 1.8752207750117750e+05 1.5649742514927144e+05 1.3221128890844862e+05 1.2038230958210657e+05 1.1059872732584750e+05 9.2216755076885878e+04 7.1390239640128202e+04 5.2045310900560129e+04 3.4624937441923328e+04 1.8973012009711238e+04 4.8969457410090481e+03 -7.7829986369525113e+03 -1.9232030411852378e+04 -2.9602608204620257e+04 -3.9036414817179415e+04 -4.7666281683432753e+04 -5.5618058053257671e+04 -6.3012443998184222e+04 -6.9966830931023767e+04 -7.6597167302446251e+04 -8.3493299581749554e+04 -9.0297773580651570e+04 -9.7165394289228730e+04 -1.0426168030174583e+05 -1.1176751512801505e+05 -1.1988495965700259e+05 -1.2884477071719224e+05 -1.3891640997591711e+05 -1.5042186842583690e+05 -1.6375408585152181e+05 -1.7940749154566956e+05 -1.9800846533596999e+05 -2.2037081971324777e+05 -2.4759565340630259e+05 -2.8117233023983851e+05 -3.2317756964705494e+05 -3.7655046142020734e+05 -4.4552893054198328e+05 -5.3628401626726263e+05 -6.5776886979014461e+05 -8.2265444666269084e+05 -1.0478153425123109e+06 -1.3534412411700787e+06 -1.7596647183580676e+06 -2.2805184386700923e+06 -2.9167361307410779e+06 -3.6505011031525983e+06 -4.4452205845153509e+06 -5.2508195007628649e+06 -6.0136470656933179e+06 -6.6869914941061893e+06 -7.2391185162634496e+06 -7.6573720663721887e+06 -7.9478505235097883e+06 -8.1298651384316143e+06 -8.2301997681094492e+06 -8.2759358961524032e+06 -8.2896975363584077e+06 -8.2872462498124680e+06 -8.2808230812772699e+06 -8.2725776174402628e+06 -8.2634001317545380e+06 -8.2534872752099913e+06 -8.2431639078132967e+06 -8.2322755743758278e+06 -8.2208267593518887e+06 -8.2083579196213940e+06 -8.1950119192849100e+06 -8.1805430173585042e+06 -8.1647591647329191e+06 -8.1474269743625754e+06 -8.1282835253242729e+06 -8.1070276099375095e+06 -8.0833261143992813e+06 -8.0568169819652801e+06 -8.0270930669628801e+06 -7.9937227421910875e+06 -7.9562415077871857e+06 -7.9141703139592633e+06 -7.8670286798158800e+06 -7.8143589417807162e+06 -7.7558708935454749e+06 -7.6910500069224471e+06 -7.6199021415522164e+06 -7.5425918735458050e+06 -7.4597256248781206e+06 -7.3723353069916144e+06 -7.2823852134345667e+06 -7.1928661922211014e+06 -7.1082336627450101e+06 -7.0349707547390675e+06 -6.9823057686504200e+06 -6.9634370594719490e+06 -6.9973200075585153e+06 -7.1117602132967813e+06 -7.3488804374936847e+06 -7.7754048024426000e+06 -8.5031457483497579e+06 2.3650987478897796e+05 +2.9990565608735340e-02 -4.2167683936673762e+04 9.8890598903528458e+04 3.4075528980067436e+05 6.5403736461957765e+05 9.5900040197247453e+05 1.1357276314015579e+06 1.1302339613169788e+06 1.0310206765186363e+06 9.2869342048066016e+05 8.4143192494070379e+05 7.5820044220892747e+05 6.7744270294968004e+05 6.0136878466223017e+05 5.3073060429524619e+05 4.6530804405734752e+05 4.0549196585837717e+05 3.5155128746850620e+05 3.0311497029294557e+05 2.5965265980900184e+05 2.2066244161768461e+05 1.8570576354254113e+05 1.5471400090107063e+05 1.3045355358354819e+05 1.1863768978560707e+05 1.0886472411355279e+05 9.0500860228177975e+04 6.9693836012763990e+04 5.0365931339221715e+04 3.2959614716482392e+04 1.7318831898396205e+04 3.2510566589315986e+03 -9.4234265934022478e+03 -2.0869852130133320e+04 -3.1240753417016200e+04 -4.0677941908322086e+04 -4.9314436255993380e+04 -5.7276337715828668e+04 -6.4684670695831199e+04 -7.1657232777717407e+04 -7.8310471726523945e+04 -8.5237176966662126e+04 -9.2079298872009953e+04 -9.8992755700913345e+04 -1.0614441898087789e+05 -1.1371681843414907e+05 -1.2191402565713991e+05 -1.3096926859361574e+05 -1.4115507125878238e+05 -1.5279726171346995e+05 -1.6629363516992351e+05 -1.8214490314333542e+05 -2.0098556436607562e+05 -2.2364012765498887e+05 -2.5122428180199358e+05 -2.8524720530304644e+05 -3.2781325397995370e+05 -3.8190041438205726e+05 -4.5180194190215966e+05 -5.4376726338591787e+05 -6.6685767776883068e+05 -8.3388449140551582e+05 -1.0618839606635016e+06 -1.3711956377929223e+06 -1.7820343165428576e+06 -2.3083877833598331e+06 -2.9507869609040776e+06 -3.6910764595023808e+06 -4.4922603589175195e+06 -5.3038799279524330e+06 -6.0719907515782146e+06 -6.7497076579509955e+06 -7.3052392702843342e+06 -7.7259712718959814e+06 -8.0181186619276684e+06 -8.2011491728175739e+06 -8.3020223011999493e+06 -8.3479824208150385e+06 -8.3617850800392022e+06 -8.3592820915630283e+06 -8.3527949641558314e+06 -8.3444745982166566e+06 -8.3352162032488659e+06 -8.3252168380778749e+06 -8.3148036559353163e+06 -8.3038206767616738e+06 -8.2922723437120393e+06 -8.2796951396656912e+06 -8.2662331523946486e+06 -8.2516385045087980e+06 -8.2357174778575534e+06 -8.2182346571280872e+06 -8.1989248362520989e+06 -8.1774841942259027e+06 -8.1535766988144182e+06 -8.1268371804159675e+06 -8.0968549403376868e+06 -8.0631946000100812e+06 -8.0253876228324696e+06 -7.9829507957415935e+06 -7.9353994619962582e+06 -7.8822719848302109e+06 -7.8232756133665154e+06 -7.7578913802579241e+06 -7.6861251820419161e+06 -7.6081430250129718e+06 -7.5245566016243920e+06 -7.4364067915360481e+06 -7.3456749594805427e+06 -7.2553779503069939e+06 -7.1700098837883826e+06 -7.0961102631536238e+06 -7.0429875770317018e+06 -7.0239548882302400e+06 -7.0581323070874624e+06 -7.1735670860340660e+06 -7.4127480686580548e+06 -7.8429792642880967e+06 -8.5770447378569990e+06 2.3941209071539564e+05 +3.0175404608445616e-02 -4.3756425181592182e+04 9.7149675701609420e+04 3.3875478906972834e+05 6.5169963593198941e+05 9.5633266292225232e+05 1.1328671448320367e+06 1.1273775289503273e+06 1.0282700994320608e+06 9.2605259618485463e+05 8.3888505847499752e+05 7.5574360727806762e+05 6.7507353699837404e+05 5.9908241753343004e+05 5.2852125452171580e+05 4.6317008176607918e+05 4.0341926445445174e+05 3.4953737691724458e+05 3.0115373911174177e+05 2.5773853021710290e+05 2.1879034056282346e+05 1.8387105510505635e+05 1.5291212451354720e+05 1.2867731102949717e+05 1.1687450544520425e+05 1.0711209195235226e+05 8.8766268117720407e+04 6.7978665445663268e+04 4.8667712637942248e+04 3.1275376160077463e+04 1.5645652639803155e+04 1.5860761634672378e+03 -1.1083049752179573e+04 -2.2526987240977523e+04 -3.2898347860842608e+04 -4.2339075408062679e+04 -5.0982379966654749e+04 -5.8954619636022275e+04 -6.6377148733543785e+04 -7.3368177453827739e+04 -8.0044660346478573e+04 -8.7002370884674398e+04 -9.3882653329272565e+04 -1.0084255421046593e+05 -1.0805031586319488e+05 -1.1569013564517483e+05 -1.2396812172935477e+05 -1.3312000469065766e+05 -1.4342140968502066e+05 -1.5520205018829621e+05 -1.6886463775079616e+05 -1.8491624459883687e+05 -2.0399958940591439e+05 -2.2695000982013674e+05 -2.5489796440950790e+05 -2.8937268852314854e+05 -3.3250650829289336e+05 -3.8731676811805472e+05 -4.5815268789316335e+05 -5.5134292655880458e+05 -6.7605797090159997e+05 -8.4525056710939365e+05 -1.0761194023574060e+06 -1.3891537895793926e+06 -1.8046492443966686e+06 -2.3365457271658760e+06 -2.9851675648783296e+06 -3.7320171188213597e+06 -4.5396930352498684e+06 -5.3573523486511242e+06 -6.1307579773563407e+06 -6.8128532211538572e+06 -7.3717916154580191e+06 -7.7950022845873535e+06 -8.0888179873984782e+06 -8.2728635339759933e+06 -8.3742743199028224e+06 -8.4204576659164354e+06 -8.4343006402012873e+06 -8.4317452769209296e+06 -8.4251937133457884e+06 -8.4167979620658904e+06 -8.4074581641816981e+06 -8.3973717730659302e+06 -8.3868682423957223e+06 -8.3757900560506387e+06 -8.3641416145098042e+06 -8.3514554035235438e+06 -8.3378767415015167e+06 -8.3231556019671597e+06 -8.3070965878423341e+06 -8.2894622434944976e+06 -8.2699850641809693e+06 -8.2483586001334423e+06 -8.2242438829621244e+06 -8.1972726123740273e+06 -8.1670305153021347e+06 -8.1330784395661270e+06 -8.0949437878887178e+06 -8.0521391592482179e+06 -8.0041756963031255e+06 -7.9505877656017020e+06 -7.8910800561850779e+06 -7.8251291358287018e+06 -7.7527409379317025e+06 -7.6740829074426182e+06 -7.5897720385584272e+06 -7.5008582323330389e+06 -7.4093400259113247e+06 -7.3182604152503675e+06 -7.2321524495766740e+06 -7.1576123405045411e+06 -7.1040292401165189e+06 -7.0848315993492948e+06 -7.1193052352659972e+06 -7.2357404853739217e+06 -7.4769944470871063e+06 -7.9109544557609139e+06 -8.6513819614438955e+06 2.4234978120413132e+05 +3.0361382814940441e-02 -4.5363621079346063e+04 9.5390505705426796e+04 3.3673639426740888e+05 6.4934446623917622e+05 9.5364790440433414e+05 1.1299898334863631e+06 1.1245042080369687e+06 1.0255024418042812e+06 9.2339450140154362e+05 8.3632075285261008e+05 7.5326917247982370e+05 6.7268661993729137e+05 5.9677815945006174e+05 5.2629388654959633e+05 4.6101398559633928e+05 4.0132832544211403e+05 3.4750513619246165e+05 2.9917409495856974e+05 2.5580591304373895e+05 2.1689968428467005e+05 1.8201772931720855e+05 1.5109157291922785e+05 1.2688233799252762e+05 1.1509253328593131e+05 1.0534060754343875e+05 8.7012755150626486e+04 6.6244503844305684e+04 4.6950430065807377e+04 2.9571996271181000e+04 1.3953247814811755e+04 -9.8223247238819894e+01 -1.2762096885031060e+04 -2.4203666000022036e+04 -3.4575623521811300e+04 -4.4020049316520999e+04 -5.2670349159842335e+04 -6.0653142885872607e+04 -6.8090120357469801e+04 -7.5099910900186427e+04 -8.1799983405457082e+04 -8.8789136996774600e+04 -9.5708099001622511e+04 -1.0271505940528712e+05 -1.0997964943842981e+05 -1.1768775577586606e+05 -1.2604754934837717e+05 -1.3529729525893109e+05 -1.4571575906653004e+05 -1.5763658859567644e+05 -1.7146747338191891e+05 -1.8772192580313113e+05 -2.0705098673200089e+05 -2.3030095675235978e+05 -2.5861724607479849e+05 -2.9354939194856765e+05 -3.3725802860067779e+05 -3.9280032448387245e+05 -4.6458210460571450e+05 -5.5901211200305342e+05 -6.8537106811985141e+05 -8.5675425001422910e+05 -1.0905235374162442e+06 -1.4073178732733056e+06 -1.8275119631232366e+06 -2.3649949545186562e+06 -3.0198807612369331e+06 -3.7733259374285452e+06 -4.5875214247790864e+06 -5.4112394726828467e+06 -6.1899513244629344e+06 -6.8764306345803691e+06 -7.4387778866390539e+06 -7.8644673465313129e+06 -8.1599506744358111e+06 -8.3450103512923773e+06 -8.4469579259464145e+06 -8.4933637173431031e+06 -8.5072462938435040e+06 -8.5046378775176145e+06 -8.4980213975978959e+06 -8.4895497751658391e+06 -8.4801280782451387e+06 -8.4699541413359456e+06 -8.4593597257748842e+06 -8.4481857680943552e+06 -8.4364366247112472e+06 -8.4236407610711306e+06 -8.4099447331595179e+06 -8.3950963526850175e+06 -8.3788985336731207e+06 -8.3611117681205394e+06 -8.3414662389803985e+06 -8.3196528522341168e+06 -8.2953296854936536e+06 -8.2681252898645317e+06 -8.2376217964533977e+06 -8.2033762571381480e+06 -8.1649119898721622e+06 -8.1217373809093544e+06 -8.0733593473804370e+06 -8.0193082355754469e+06 -7.9592861588769006e+06 -7.8927651943264445e+06 -7.8197513121397914e+06 -7.7404134044472706e+06 -7.6553737985846335e+06 -7.5656914704714362e+06 -7.4733822313692644e+06 -7.3815153833215004e+06 -7.2946631352569200e+06 -7.2194787436306309e+06 -7.1654325015867259e+06 -7.1460689318083776e+06 -7.1808405395342074e+06 -7.2982821873559663e+06 -7.5416214080176922e+06 -7.9793323186148908e+06 -8.7261595425993372e+06 2.4532337729037329e+05 +3.0548507249422589e-02 -4.6989501151456490e+04 9.3612859540103993e+04 3.3469987607581314e+05 6.4697161630034342e+05 9.5094586508279166e+05 1.1270954822497198e+06 1.1216137717702470e+06 1.0227174741701528e+06 9.2071890606669441e+05 8.3373877898386715e+05 7.5077691015101422e+05 6.7028172488047346e+05 5.9445578395769803e+05 5.2404827417628979e+05 4.5883952959238860e+05 3.9921892309932830e+05 3.4545433972670248e+05 2.9717581230688823e+05 2.5385458275278716e+05 2.1499024715886131e+05 1.8014556041804663e+05 1.4925212016022374e+05 1.2506840832584053e+05 1.1329154713160168e+05 1.0355004467799905e+05 8.5240094815687917e+04 6.4491124192002309e+04 4.5213855963689137e+04 2.7849246612901490e+04 1.2241388060306261e+04 -1.8020720293414554e+03 -1.4460799730424063e+04 -2.5900121644469218e+04 -3.6272815384895432e+04 -4.5721100654474372e+04 -5.4378583225950766e+04 -6.2372149613549111e+04 -6.9823830925808303e+04 -7.6852682212186293e+04 -8.3576694351671147e+04 -9.0597734232848001e+04 -9.7555901283559127e+04 -1.0461054430885179e+05 -1.1193270174077316e+05 -1.1970997151402949e+05 -1.2815261381510260e+05 -1.3750146055729827e+05 -1.4803845744084532e+05 -1.6010123616466054e+05 -1.7410252664481659e+05 -1.9056236181269400e+05 -2.1014020823620414e+05 -2.3369346515475825e+05 -2.6238267846909194e+05 -2.9777793527312810e+05 -3.4206851957854413e+05 -3.9835189526079578e+05 -4.7109113962356222e+05 -5.6677593933477579e+05 -6.9479830398338707e+05 -8.6839713440538582e+05 -1.1050982560245348e+06 -1.4256900878168063e+06 -1.8506249571132488e+06 -2.3937381730380980e+06 -3.0549293908754927e+06 -3.8150057926243604e+06 -4.6357483582996037e+06 -5.4655440281671789e+06 -6.2495733917013416e+06 -6.9404423658972643e+06 -7.5062004351523705e+06 -7.9343687161009805e+06 -8.2315189137244150e+06 -8.4175917702900004e+06 -8.5200752371438779e+06 -8.5667026770441923e+06 -8.5806241339933295e+06 -8.5779619809675626e+06 -8.5712801016304046e+06 -8.5627321196664404e+06 -8.5532280250977259e+06 -8.5429660199940577e+06 -8.5322801805664841e+06 -8.5210098846530337e+06 -8.5091594432122204e+06 -8.4962532780378629e+06 -8.4824391897344626e+06 -8.4674628153754249e+06 -8.4511253701228257e+06 -8.4331852814142685e+06 -8.4133704062311724e+06 -8.3913689907571971e+06 -8.3668361406700248e+06 -8.3393972404776393e+06 -8.3086308039136371e+06 -8.2740900644260487e+06 -8.2352942310734401e+06 -8.1917474524003714e+06 -8.1429523950432278e+06 -8.0884353613319872e+06 -8.0278958732838221e+06 -7.9608014912832165e+06 -7.8871582222946351e+06 -7.8071364142044764e+06 -7.7213637590358704e+06 -7.6309083612826932e+06 -7.5378034085400524e+06 -7.4451446646905420e+06 -7.3575437296876768e+06 -7.2817112429535761e+06 -7.2271991186230788e+06 -7.2076686380291469e+06 -7.2427399808358541e+06 -7.3611939817142580e+06 -7.6066308008710006e+06 -8.0481148096220996e+06 -8.8013796212166678e+06 2.4833331519851575e+05 +3.0736784976368184e-02 -4.8634298184497893e+04 9.1816504888070849e+04 3.3264499779599655e+05 6.4458086258734262e+05 9.4822634571853501e+05 1.1241838285739950e+06 1.1187060033168257e+06 1.0199149708685987e+06 9.1802558015810337e+05 8.3113890506428969e+05 7.4826658991957712e+05 6.6785862216213043e+05 5.9211506173561478e+05 5.2178418822747836e+05 4.5664648494324362e+05 3.9709082881299168e+05 3.4338475903550460e+05 2.9515866270955227e+05 2.5188431088863933e+05 2.1306180064120836e+05 1.7825431972319528e+05 1.4739353735432186e+05 1.2323529295491324e+05 1.1147131787124986e+05 1.0174017420402958e+05 8.3448057651412193e+04 6.2718296516337301e+04 4.3457759710445585e+04 2.6106895778866645e+04 1.0509841034873301e+04 -3.5257036277951761e+03 -1.6179393028177910e+04 -2.7616590428000149e+04 -3.7990161469717379e+04 -4.7442469498909530e+04 -5.6107324637353740e+04 -6.4111885079984961e+04 -7.1578528945540267e+04 -7.8626743677255174e+04 -8.5375049876091507e+04 -9.2428424830590666e+04 -9.9426328954673809e+04 -1.0652928542184198e+05 -1.1390975839138607e+05 -1.2175707926486315e+05 -1.3028362430244495e+05 -1.3973282490095199e+05 -1.5038984712123641e+05 -1.6259635666275944e+05 -1.7677018697299491e+05 -1.9343797291290900e+05 -2.1326771149307661e+05 -2.3712803796601683e+05 -2.6619482017236261e+05 -3.0205894593009370e+05 -3.4693869466945814e+05 -4.0397230227645504e+05 -4.7768075215931528e+05 -5.7463554172634543e+05 -7.0434102885331505e+05 -8.8018083280190499e+05 -1.1198454689329290e+06 -1.4442726545474315e+06 -1.8739907341256684e+06 -2.4227781136833956e+06 -3.0903163171598446e+06 -3.8570595827968549e+06 -4.6843766862307657e+06 -5.5202687615827974e+06 -6.3096267953116400e+06 -7.0048908996078214e+06 -7.5740616288217269e+06 -8.0047086679943288e+06 -8.3035249121882403e+06 -8.4906099526484124e+06 -8.5936283874591403e+06 -8.6404766630625222e+06 -8.6544362697619274e+06 -8.6517196909807790e+06 -8.6449719262286052e+06 -8.6363470937463213e+06 -8.6267601003928892e+06 -8.6164095021387786e+06 -8.6056316972324476e+06 -8.5942644934217297e+06 -8.5823121547830831e+06 -8.5692950360537935e+06 -8.5553621894698665e+06 -8.5402570646242928e+06 -8.5237791677466258e+06 -8.5056848495419566e+06 -8.4856996272590403e+06 -8.4635090716367662e+06 -8.4387652984079644e+06 -8.4110905074137300e+06 -8.3800595733386027e+06 -8.3452218886392489e+06 -8.3060925291695902e+06 -8.2621713807467055e+06 -8.2129568343708068e+06 -8.1579711245745085e+06 -8.0969111662922632e+06 -8.0292399771409528e+06 -7.9549636007813932e+06 -7.8742538494924400e+06 -7.7877438116883980e+06 -7.6965107743783873e+06 -7.6026054042267129e+06 -7.5091500834526373e+06 -7.4207960354917096e+06 -7.3443116225397037e+06 -7.2893308619185360e+06 -7.2696324839238385e+06 -7.3050053336859355e+06 -7.4244776719939653e+06 -7.6720244893144760e+06 -8.1173039006064041e+06 -8.8770443536707535e+06 2.5138003640372967e+05 +3.0926223103793393e-02 -5.0298246381281533e+04 9.0001205842564304e+04 3.3057153065291810e+05 6.4217195176849968e+05 9.4548909317046218e+05 1.1212546645327471e+06 1.1157806414010287e+06 1.0170946937132269e+06 9.1531428800228995e+05 8.2852089789620182e+05 7.4573797891482012e+05 6.6541707890904706e+05 5.8975576046077802e+05 5.1950139658472128e+05 4.5443461993400671e+05 3.9494381105056504e+05 3.4129616268235544e+05 2.9312241476369451e+05 2.4989486604165714e+05 2.1111411323220812e+05 1.7634377559113677e+05 1.4551559266077547e+05 1.2138275984440473e+05 1.0963161342504426e+05 9.9910763991387677e+04 8.1636411212074832e+04 6.0925787854456132e+04 4.1681907688203821e+04 2.4344709358538985e+04 8.7583713840642322e+03 -5.2693545112944275e+03 -1.7918114554702064e+04 -2.9353311656195016e+04 -3.9727902866144977e+04 -4.9184399018957440e+04 -5.7856818984670295e+04 -6.5872597695312375e+04 -7.3354466110237234e+04 -8.0422350812615026e+04 -8.7195309951120755e+04 -9.4281474374738289e+04 -1.0131965422027571e+05 -1.0847156276398474e+05 -1.1591110864120192e+05 -1.2382937919520245e+05 -1.3244089390226387e+05 -1.4199171671089254e+05 -1.5277027474915117e+05 -1.6512231845056289e+05 -1.7947084870983963e+05 -1.9634918468047903e+05 -2.1643395982930899e+05 -2.4060518443424001e+05 -2.7005423675824108e+05 -3.0639305918479967e+05 -3.5186927618904365e+05 -4.0966237752416643e+05 -4.8435191319309798e+05 -5.8259206606178032e+05 -7.1400060907242843e+05 -8.9210697615194635e+05 -1.1347671076541103e+06 -1.4630678173888284e+06 -1.8976118254674657e+06 -2.4521175309140142e+06 -3.1260444260475584e+06 -3.8994902275323467e+06 -4.7334092787074773e+06 -5.5754164378484497e+06 -6.3701141690411828e+06 -7.0697787371296873e+06 -7.6423638520402797e+06 -8.0754894932933357e+06 -8.3759708930335622e+06 -8.5640670763063859e+06 -8.6676195270316098e+06 -8.7146878096049894e+06 -8.7286848264012709e+06 -8.7259131273321956e+06 -8.7190989882535692e+06 -8.7103968116281610e+06 -8.7007264158690739e+06 -8.6902866968890261e+06 -8.6794163822410777e+06 -8.6679516980735026e+06 -8.6558968601865917e+06 -8.6427681326817572e+06 -8.6287158265242912e+06 -8.6134811908790972e+06 -8.5968620129715260e+06 -8.5786125545071606e+06 -8.5584559791723080e+06 -8.5360751665566713e+06 -8.5111192243303116e+06 -8.4832071495095752e+06 -8.4519101559634153e+06 -8.4167737724831998e+06 -8.3773089173054686e+06 -8.3330111883353638e+06 -8.2833746757036131e+06 -8.2279175222058175e+06 -8.1663340198272634e+06 -8.0980826172552602e+06 -8.0231693948062789e+06 -7.9417676377482563e+06 -7.8545158627911387e+06 -7.7625005936804414e+06 -7.6677900793640399e+06 -7.5735334776759977e+06 -7.4844218691078424e+06 -7.4072816800885014e+06 -7.3518295157246953e+06 -7.3319622489362191e+06 -7.3676383861715067e+06 -7.4881350755247334e+06 -7.7378043512783553e+06 -8.1869015784999644e+06 -8.9531559128366392e+06 2.5446398769424568e+05 +3.1116828783522787e-02 -5.1981584355147752e+04 8.8166724132112955e+04 3.2847922915201838e+05 6.3974465945792862e+05 9.4273387326520681e+05 1.1183077375178603e+06 1.1128374678534898e+06 1.0142563999103663e+06 9.1258479431046883e+05 8.2588452107256057e+05 7.4319084115072992e+05 6.6295685893227358e+05 5.8737764472468162e+05 5.1719966420247377e+05 4.5220369987824204e+05 3.9277763532595470e+05 3.3918831624551670e+05 2.9106683407506277e+05 2.4788601381216053e+05 2.0914695044325394e+05 1.7441369338926612e+05 1.4361805124566000e+05 1.1951057396208297e+05 1.0777219870925804e+05 9.8061578897419357e+04 7.9804920032652546e+04 5.9113362218832204e+04 3.9886063247646140e+04 2.2562449902239463e+04 6.9867407051084720e+03 -7.0332642076890861e+03 -1.9677205158522072e+04 -3.1110527722426152e+04 -4.1486283770441623e+04 -5.0947135512450084e+04 -5.9627315013874926e+04 -6.7654539056608730e+04 -7.5151897337284987e+04 -8.2239762403934626e+04 -8.9037737869959339e+04 -9.6157151837509198e+04 -1.0323615275212194e+05 -1.1043765991626844e+05 -1.1793704541489335e+05 -1.2592717527971540e+05 -1.3462473967239886e+05 -1.4427846856286851e+05 -1.5518009134575652e+05 -1.6767949453701678e+05 -1.8220491116984890e+05 -1.9929642804861660e+05 -2.1963942239395791e+05 -2.4412542019587025e+05 -2.7396150087791751e+05 -3.1078091823154199e+05 -3.5686099543397332e+05 -4.1542296328587912e+05 -4.9110560561165877e+05 -5.9064667309739825e+05 -7.2377842714084475e+05 -9.0417721402491315e+05 -1.1498651246680906e+06 -1.4820778430551491e+06 -1.9214907861783067e+06 -2.4817592028486384e+06 -3.1621166262244708e+06 -3.9423006677123918e+06 -4.7828490256461482e+06 -5.6309898403784307e+06 -6.4310381641980046e+06 -7.1351083968390673e+06 -7.7111095058146920e+06 -8.1467134994996237e+06 -8.4488590957992692e+06 -8.6379653354463279e+06 -8.7420508222338520e+06 -8.7893382670867313e+06 -8.8033719453164879e+06 -8.8005444259732664e+06 -8.7936634206832275e+06 -8.7848834036797490e+06 -8.7751290993171837e+06 -8.7645997294353154e+06 -8.7536363581112828e+06 -8.7420736183544584e+06 -8.7299156761823762e+06 -8.7166746814839263e+06 -8.7025022110092565e+06 -8.6871373005437888e+06 -8.6703760081394333e+06 -8.6519704941710085e+06 -8.6316415549027231e+06 -8.6090693629744146e+06 -8.5838999997798279e+06 -8.5557492412946615e+06 -8.5241846186789908e+06 -8.4887477742486969e+06 -8.4489454441167433e+06 -8.4042689129735362e+06 -8.3542079446994662e+06 -8.2982765663033715e+06 -8.2361664309281921e+06 -8.1673313919816334e+06 -8.0917775663897041e+06 -8.0096797210938837e+06 -7.9216818331321022e+06 -7.8288797174727935e+06 -7.7333593090775087e+06 -7.6382966994392956e+06 -7.5484230608217102e+06 -7.4706232270137677e+06 -7.4146968779029706e+06 -7.3946597260591444e+06 -7.4306409400292477e+06 -7.5521680234926846e+06 -7.8039722790006464e+06 -8.2569098453783793e+06 -9.0297164881671611e+06 2.5758562123437037e+05 +3.1308609211459330e-02 -5.3684553468420738e+04 8.6312818321129555e+04 3.2636785758936481e+05 6.3729873758854915e+05 9.3996043505324668e+05 1.1153428070320950e+06 1.1098762230412641e+06 1.0113998561466974e+06 9.0983685908218182e+05 8.2322953490158950e+05 7.4062493684941425e+05 6.6047772314803652e+05 5.8498047604735568e+05 5.1487875308222842e+05 4.4995348705870105e+05 3.9059206414340099e+05 3.3706098228077276e+05 2.8899168322395545e+05 2.4585751677649980e+05 2.0716007476048224e+05 1.7246383545815232e+05 1.4170067524677835e+05 1.1761849724447913e+05 1.0589283560174947e+05 9.6192380731964557e+04 7.7953345593961276e+04 5.7280780561333551e+04 3.8069986672552848e+04 2.0759876885613674e+04 5.1947075113412357e+03 -8.8176753398228284e+03 -2.1456908796453827e+04 -3.2888484144087743e+04 -4.3265551521916546e+04 -5.2730928442829034e+04 -6.1419064663420468e+04 -6.9457963985281734e+04 -7.6971080806636630e+04 -8.4079240544161905e+04 -9.0902600285635694e+04 -9.8055729618669269e+04 -1.0517610373019104e+05 -1.1242786406321406e+05 -1.1998786535469763e+05 -1.2805077534511697e+05 -1.3683548268453230e+05 -1.4659341723789723e+05 -1.5761965236542915e+05 -1.7026826263628347e+05 -1.8497277869678946e+05 -2.0228013937162259e+05 -2.2288457422830924e+05 -2.4768926735177633e+05 -2.7791719234683661e+05 -3.1522317428784876e+05 -3.6191459279018996e+05 -4.2125491225596803e+05 -4.9794282434913167e+05 -5.9880053762259125e+05 -7.3367588189803122e+05 -9.1639321480913821e+05 -1.1651414936233794e+06 -1.5013050212470719e+06 -1.9456301952118464e+06 -2.5117059314241307e+06 -3.1985358492257576e+06 -3.9854938656307743e+06 -4.8326988368598921e+06 -5.6869917711780313e+06 -6.4924014497143533e+06 -7.2008824141292758e+06 -7.7803010078066420e+06 -8.2183830105957603e+06 -8.5221917763956748e+06 -8.7123069405842237e+06 -8.8169244557325505e+06 -8.8644302021571118e+06 -8.8784997841503359e+06 -8.8756157390217278e+06 -8.8686673727028817e+06 -8.8598090163993631e+06 -8.8499702946732771e+06 -8.8393507411102857e+06 -8.8282937634674422e+06 -8.8166323900391981e+06 -8.8043707355849762e+06 -8.7910168120361958e+06 -8.7767234690556508e+06 -8.7612275159801748e+06 -8.7443232715080138e+06 -8.7257607823127862e+06 -8.7052584632615950e+06 -8.6824937641902976e+06 -8.6571097219090573e+06 -8.6287188730371241e+06 -8.5968850440304615e+06 -8.5611459678357206e+06 -8.5210041737745292e+06 -8.4759466079160664e+06 -8.4254586823881213e+06 -8.3690502842450403e+06 -8.3064104117824994e+06 -8.2369882966986364e+06 -8.1607900924282791e+06 -8.0779920563862678e+06 -7.9892436580674155e+06 -7.8956500584351839e+06 -7.7993149827212496e+06 -7.7034416148601305e+06 -7.6128014547813656e+06 -7.5343380884829490e+06 -7.4779347599377893e+06 -7.4577267218944104e+06 -7.4940148106366368e+06 -7.6165783609764753e+06 -7.8705301790864887e+06 -8.3273307184926169e+06 -9.1067282856980599e+06 2.6074539462821561e+05 +3.1501571627856058e-02 -5.5407397070913757e+04 8.4439244704932862e+04 3.2423716216529539e+05 6.3483394437131600e+05 9.3716853110003273e+05 1.1123596276839175e+06 1.1068966692869533e+06 1.0085248184543542e+06 9.0707023721038329e+05 8.2055569630211638e+05 7.3804002310974034e+05 6.5797942986404884e+05 5.8256401290071127e+05 5.1253842220516951e+05 4.4768374067840847e+05 3.8838685693853768e+05 3.3491392028841365e+05 2.8689672172989976e+05 2.4380913444901374e+05 2.0515324560806996e+05 1.7049396107666573e+05 1.3976322373784275e+05 1.1570628856115059e+05 1.0399328290623520e+05 9.4302928221644033e+04 7.6081446286869599e+04 5.5427800738008074e+04 3.6233435143961637e+04 1.8936746673590260e+04 3.3820271959790375e+03 -1.0622833661869536e+04 -2.3257472570082042e+04 -3.4687429599515373e+04 -4.5065956639994525e+04 -5.4536030476626991e+04 -6.3232323102048213e+04 -7.1283130565710104e+04 -7.8812277999483209e+04 -8.5941050672918631e+04 -9.2790167251829698e+04 -9.9977483586483650e+04 -1.0713978988461156e+05 -1.1444246603668325e+05 -1.2206386886519221e+05 -1.3020049111825346e+05 -1.3907344807258138e+05 -1.4893690377298644e+05 -1.6008931774918610e+05 -1.7288900522445556e+05 -1.8777486072614332e+05 -2.0530076049080261e+05 -2.2616989633858582e+05 -2.5129725454659722e+05 -2.8192189823179442e+05 -3.1972048669358110e+05 -3.6703081784301955e+05 -4.2715908766681445e+05 -5.0486457653292187e+05 -6.0705484862267401e+05 -7.4369438870478200e+05 -9.2875666591024678e+05 -1.1805982095444808e+06 -1.5207516648549195e+06 -1.9700326556210490e+06 -2.5419605425451696e+06 -3.2353050495794066e+06 -4.0290728050971678e+06 -4.8829616421293719e+06 -5.7434250508929603e+06 -6.5542067122228639e+06 -7.2671033414726220e+06 -7.8499407924085185e+06 -8.2905003670958858e+06 -8.5959712071621437e+06 -8.7870941185894087e+06 -8.8922426264942493e+06 -8.9399657977762073e+06 -8.9540705167972315e+06 -8.9511292348676044e+06 -8.9441130096829683e+06 -8.9351758125041127e+06 -8.9252521620739195e+06 -8.9145418893791921e+06 -8.9033907530713025e+06 -8.8916301650467403e+06 -8.8792641873189602e+06 -8.8657966700016372e+06 -8.8513817428251747e+06 -8.8357539755748566e+06 -8.8187059373568911e+06 -8.7999855486699678e+06 -8.7793088289817329e+06 -8.7563504893829580e+06 -8.7307505036996286e+06 -8.7021181507846527e+06 -8.6700135302999970e+06 -8.6339704427978899e+06 -8.5934871860396173e+06 -8.5480463419203553e+06 -8.4971289452052023e+06 -8.4402407187100425e+06 -8.3770679897654289e+06 -8.3070553418218754e+06 -8.2302089647827009e+06 -8.1467066152492594e+06 -8.0572032875545761e+06 -7.9628135436852938e+06 -7.8656590038816491e+06 -7.7689701041392982e+06 -7.6775589090824490e+06 -7.5984281034114007e+06 -7.5415449869983587e+06 -7.5211650566623341e+06 -7.5577618270858442e+06 -7.6813679469897011e+06 -7.9374799725098228e+06 -8.3981662303292193e+06 -9.1841935281399954e+06 2.6394377098417730e+05 +3.1695723317589394e-02 -5.7150363045215287e+04 8.2545756281690716e+04 3.2208690555989282e+05 6.3235002158461139e+05 9.3435792556933127e+05 1.1093579574023935e+06 1.1038985583693974e+06 1.0056310340194836e+06 9.0428467832200613e+05 8.1786275873472355e+05 7.3543585440797382e+05 6.5546173443251604e+05 5.8012801067412226e+05 5.1017842745667568e+05 4.4539421682805958e+05 3.8616177002045879e+05 3.3274688667176553e+05 2.8478170601876103e+05 2.4174062324706223e+05 2.0312621931266633e+05 1.6850382642530213e+05 1.3780545269260675e+05 1.1377370367819695e+05 1.0207329631587207e+05 9.2392976974040255e+04 7.4188977376160983e+04 5.3554177472717733e+04 3.4376162703801157e+04 1.7092812484064652e+04 1.5484519955739177e+03 -1.2448988096120784e+04 -2.5079146762766090e+04 -3.6507615965166624e+04 -4.6887752861740511e+04 -5.6362697521326598e+04 -6.5067348767263684e+04 -7.3130300183656334e+04 -8.0675753737425926e+04 -8.7825461616115004e+04 -9.4700712263025387e+04 -1.0192269311973990e+05 -1.0912749753794908e+05 -1.1648176035918682e+05 -1.2416536015851179e+05 -1.3237663827184757e+05 -1.4133896508171968e+05 -1.5130927351233299e+05 -1.6258945197888900e+05 -1.7554210959676880e+05 -1.9061157184645772e+05 -2.0835873880068518e+05 -2.2949587576740506e+05 -2.5494991704793487e+05 -2.8597621293874038e+05 -3.2427352300904284e+05 -3.7221042948855291e+05 -4.3313636341429374e+05 -5.1187188162518112e+05 -6.1541080944178998e+05 -7.5383537962612626e+05 -9.4126927394816210e+05 -1.1962372890398023e+06 -1.5404201101582956e+06 -1.9947007947378627e+06 -2.5725258862624578e+06 -3.2724272049371526e+06 -4.0730404915370876e+06 -4.9336403912806939e+06 -5.8002925188982021e+06 -6.6164566561011635e+06 -7.3337737484609848e+06 -7.9200313107852954e+06 -8.3630679260888267e+06 -8.6701996768962815e+06 -8.8623291127465740e+06 -8.9680075498788860e+06 -9.0159472532152217e+06 -9.0300863334713504e+06 -9.0270870981628392e+06 -9.0200025132727809e+06 -9.0109859709427506e+06 -9.0009768778682332e+06 -8.9901753479299769e+06 -8.9789294978799503e+06 -8.9670691114574652e+06 -8.9545981964448355e+06 -8.9410164171494544e+06 -8.9264791905901358e+06 -8.9107188337850701e+06 -8.8935261559643243e+06 -8.8746469389678743e+06 -8.8537947927427683e+06 -8.8306416736458316e+06 -8.8048244739851542e+06 -8.7759491964078061e+06 -8.7435721915199086e+06 -8.7072233043770436e+06 -8.6663965762809310e+06 -8.6205701992837638e+06 -8.5692208050342519e+06 -8.5118499276913963e+06 -8.4481412074742205e+06 -8.3775345528904451e+06 -8.3000361902244799e+06 -8.2158253841076577e+06 -8.1255626862091748e+06 -8.0303721148237055e+06 -7.9323932904800205e+06 -7.8348840616186159e+06 -7.7426972957470473e+06 -7.6628951245479528e+06 -7.6055293979540858e+06 -7.5849765642779758e+06 -7.6218838322018841e+06 -7.7465386544893533e+06 -8.0048235946976300e+06 -8.4694184286451042e+06 -9.2621144548802190e+06 2.6718121898016130e+05 +3.1891071610434210e-02 -5.8913700307744948e+04 8.0632101961807683e+04 3.1991682955766190e+05 6.2984672747698973e+05 9.3152835427326907e+05 1.1063375244914386e+06 1.1008816440459380e+06 1.0027182533416199e+06 9.0147993390719697e+05 8.1515047341354843e+05 7.3281218251572235e+05 6.5292438880787569e+05 5.7767222166075907e+05 5.0779852157384338e+05 4.4308466846348898e+05 3.8391655652906373e+05 3.3055963470182131e+05 2.8264638938771782e+05 2.3965173645319149e+05 2.0107874906623058e+05 1.6649318454996689e+05 1.3582711494776150e+05 1.1182049522220650e+05 1.0013262837735475e+05 9.0462279440829603e+04 7.2275690963926463e+04 5.1659662320489348e+04 3.2497920218306906e+04 1.5227824350866507e+04 -3.0626904708333586e+02 -1.4296390770254307e+04 -2.6922184877168638e+04 -3.8349298353439612e+04 -4.8731197180022136e+04 -5.8211188763721017e+04 -6.6924403403940029e+04 -7.4999737565663643e+04 -8.2561776222326240e+04 -8.9732745626844975e+04 -9.6634512295616500e+04 -1.0389164114897563e+05 -1.1113951664892895e+05 -1.1854604528841832e+05 -1.2629264730009735e+05 -1.3457953647250214e+05 -1.4363236711769205e+05 -1.5371087615947521e+05 -1.6512042413196413e+05 -1.7822796792691483e+05 -1.9348333186145523e+05 -2.1145452731683356e+05 -2.3286300566731073e+05 -2.5864779682738779e+05 -2.9008073830207699e+05 -3.2888295911419275e+05 -3.7745419604627736e+05 -4.3918762418714334e+05 -5.1896577156932693e+05 -6.2386963795182609e+05 -7.6410030361935799e+05 -9.5393276496350253e+05 -1.2120607705037494e+06 -1.5603127170280933e+06 -2.0196372643679755e+06 -2.6034048369160569e+06 -3.3099053161924873e+06 -4.1173999521097671e+06 -4.9847380542924730e+06 -5.8575970333685037e+06 -6.6791540035430184e+06 -7.4008962218840141e+06 -7.9905750309079196e+06 -8.4360880612731948e+06 -8.7448794909225199e+06 -8.9380141827905662e+06 -9.0442214576199278e+06 -9.0923767841301635e+06 -9.1065494407202005e+06 -9.1034915298635866e+06 -9.0963380814370774e+06 -9.0872416869598795e+06 -9.0771466346747838e+06 -9.0662533066821173e+06 -9.0549121850642823e+06 -9.0429514135590401e+06 -9.0303749442032743e+06 -9.0166782314212155e+06 -9.0020179867394716e+06 -8.9861242611646950e+06 -8.9687860937090255e+06 -8.9497471149760280e+06 -8.9287185112493485e+06 -8.9053694680237286e+06 -8.8793337775208615e+06 -8.8502141476077605e+06 -8.8175631575297695e+06 -8.7809066735586617e+06 -8.7397344555407315e+06 -8.6935202798879780e+06 -8.6417363492421601e+06 -8.5838799846015461e+06 -8.5196321227875166e+06 -8.4484279705720991e+06 -8.3702737905527391e+06 -8.2853503642480904e+06 -8.1943238333162135e+06 -8.0983277279632920e+06 -7.9995197747548949e+06 -7.9011853957878593e+06 -7.8082185008135410e+06 -7.7277410184780443e+06 -7.6698898454194088e+06 -7.6491630923582185e+06 -7.6863826825972274e+06 -7.8120923704481181e+06 -8.0725629955277657e+06 -8.5410893764885012e+06 -9.3404933220704552e+06 2.7045821292954980e+05 +3.2087623881340517e-02 -6.0697663036132406e+04 7.8698027936363200e+04 3.1772668661465414e+05 6.2732379797567287e+05 9.2867956626000372e+05 1.1032980902474481e+06 1.0978456688654060e+06 9.9978622086846537e+05 8.9865575501436600e+05 8.1241858829657023e+05 7.3016875604213821e+05 6.5036714152433083e+05 5.7519639509217686e+05 5.0539845410897600e+05 4.4075484538642369e+05 3.8165096640915092e+05 3.2835191447533062e+05 2.8049052197039692e+05 2.3754222417859480e+05 1.9901058488990599e+05 1.6446178532486930e+05 1.3382796016712332e+05 1.0984641264295347e+05 9.8171028453683990e+04 8.8510584881246148e+04 7.0341335952934955e+04 4.9744003630460778e+04 3.0598455340569970e+04 1.3341529086473674e+04 -2.1823901205109719e+03 -1.6165297055055007e+04 -2.8786843673237698e+04 -4.0212735150767694e+04 -5.0596549881867002e+04 -6.0081766708821720e+04 -6.8803752103657389e+04 -7.6891710818802589e+04 -8.4470617076502298e+04 -9.1663178425924547e+04 -9.8591847849494516e+04 -1.0588461419980702e+05 -1.1317614085515557e+05 -1.2063562286222762e+05 -1.2844604225534963e+05 -1.3680950942884712e+05 -1.4595399179747028e+05 -1.5614206582998004e+05 -1.6768260793740951e+05 -1.8094697732507737e+05 -1.9639056585371844e+05 -2.1458858474388343e+05 -2.3627178537583275e+05 -2.6239144264103932e+05 -2.9423608367580437e+05 -3.3354947931040905e+05 -3.8276289537334599e+05 -4.4531376559586870e+05 -5.2614729094018845e+05 -6.3243256671648507e+05 -7.7449062672046968e+05 -9.6674888461602409e+05 -1.2280707143342230e+06 -1.5804318691360641e+06 -2.0448447409697075e+06 -2.6346002932983120e+06 -3.3477424076299467e+06 -4.1621542358031906e+06 -5.0362576213652259e+06 -5.9153414713400314e+06 -6.7423014946128977e+06 -7.4684733657575678e+06 -8.0615744376244107e+06 -8.5095631630304325e+06 -8.8200129711268041e+06 -9.0141516049515847e+06 -9.1208865979467519e+06 -9.1692566226117183e+06 -9.1834620614961274e+06 -9.1803447473330610e+06 -9.1731219284809120e+06 -9.1639451721195877e+06 -9.1537636414278578e+06 -9.1427779718771838e+06 -9.1313410180781595e+06 -9.1192792718939632e+06 -9.1065966280594263e+06 -9.0927843069497906e+06 -9.0780003218302093e+06 -9.0619724444109052e+06 -9.0444879330666959e+06 -9.0252882545351014e+06 -9.0040821572317034e+06 -8.9805360395751260e+06 -8.9542805750374123e+06 -8.9249151580360848e+06 -8.8919885740091037e+06 -8.8550226871053260e+06 -8.8135029505654126e+06 -8.7668986992225461e+06 -8.7146776807271596e+06 -8.6563329782512728e+06 -8.5915428088764884e+06 -8.5197376507245619e+06 -8.4409238025994189e+06 -8.3552835718378061e+06 -8.2634887229057215e+06 -8.1666823537448570e+06 -8.0670404033132130e+06 -7.9678760293258633e+06 -7.8741244243343864e+06 -7.7929676656874502e+06 -7.7346281958070053e+06 -7.7137265022542840e+06 -7.7512602486842144e+06 -7.8780309958721753e+06 -8.1407001393951904e+06 -8.6131811522691157e+06 -9.4193324026091397e+06 2.7377523284795228e+05 +3.2285387550711898e-02 -6.2502506818259484e+04 7.6743278186548836e+04 3.1551621296888130e+05 6.2478098496110272e+05 9.2581131334072852e+05 1.1002394056440259e+06 1.0947903732868454e+06 9.9683468047998368e+05 8.9581188452854787e+05 8.0966684721101122e+05 7.2750532034766406e+05 6.4778973808244278e+05 5.7270027711879567e+05 5.0297797139608191e+05 4.3840449421829311e+05 3.7936474639274873e+05 3.2612347287796054e+05 2.7831385069948342e+05 2.3541183332532615e+05 1.9692147359683469e+05 1.6240937541448948e+05 1.3180773480334837e+05 1.0785120217610145e+05 9.6188242686656187e+04 8.6537639324285032e+04 6.8385658008456914e+04 4.7806946508172623e+04 2.8677512472919065e+04 1.1433670244062747e+04 -4.0801686825720844e+03 -1.8055965602700548e+04 -3.0673383206527364e+04 -4.2098188056526611e+04 -5.2484074587638432e+04 -6.1974697219340509e+04 -7.0705663344427012e+04 -7.8806491470977053e+04 -8.6402551383840168e+04 -9.3617039243486797e+04 -1.0057300299059255e+05 -1.0790190243523059e+05 -1.1523766751792430e+05 -1.2275079894364564e+05 -1.3062586093580730e+05 -1.3906688494002196e+05 -1.4830418099956281e+05 -1.5860320110482466e+05 -1.7027638183210269e+05 -1.8369953989846387e+05 -1.9933370424864744e+05 -2.1776137554491434e+05 -2.3972272048953277e+05 -2.6618141011312121e+05 -2.9844286602308042e+05 -3.3827377642281516e+05 -3.8813731497927970e+05 -4.5151569430412340e+05 -5.3341749709128460e+05 -6.4110084316602070e+05 -7.8500783223317040e+05 -9.7971939839197043e+05 -1.2442692031435294e+06 -1.6007799741559173e+06 -2.0703259258447704e+06 -2.6661151788212899e+06 -3.3859415270451861e+06 -4.2073064135495787e+06 -5.0882021030277638e+06 -5.9735287287908150e+06 -6.8059018873239057e+06 -7.5365078013997301e+06 -8.1330320327106668e+06 -8.5834956384593323e+06 -8.8956024559981953e+06 -9.0907436720086690e+06 -9.1980052355554961e+06 -9.2465890172063056e+06 -9.2608264351920299e+06 -9.2576489843291864e+06 -9.2503562850788049e+06 -9.2410986543733347e+06 -9.2308301234135125e+06 -9.2197515660623871e+06 -9.2082182166730799e+06 -9.1960549032860417e+06 -9.1832654617532212e+06 -9.1693368541277424e+06 -9.1544284026699606e+06 -9.1382655864230562e+06 -9.1206338726955410e+06 -9.1012725516461115e+06 -9.0798879194998872e+06 -9.0561435714045521e+06 -9.0296670432269219e+06 -9.0000543972479068e+06 -8.9668506025302839e+06 -8.9295734976014476e+06 -8.8877042038388569e+06 -8.8407075884529613e+06 -8.7880469179516397e+06 -8.7292110129227936e+06 -8.6638753542865179e+06 -8.5914656644208860e+06 -8.5119882782937083e+06 -8.4256270379781276e+06 -8.3330593637509849e+06 -8.2354379774389369e+06 -8.1349571371961804e+06 -8.0349578991712276e+06 -7.9404169804536533e+06 -7.8585769605747256e+06 -7.7997463293243404e+06 -7.7786686691195294e+06 -7.8165184147324087e+06 -7.9443564458434517e+06 -8.2092370052284999e+06 -8.6856958497897498e+06 -9.4986339862559550e+06 2.7713276452070131e+05 +3.2484370084685653e-02 -6.4328492127446014e+04 7.4767593531776642e+04 3.1328514991389809e+05 6.2221802475867618e+05 9.2292332366886502e+05 1.0971611862970905e+06 1.0917154962333951e+06 9.9386337854103837e+05 8.9294806296540343e+05 8.0689499132888601e+05 7.2482161720427615e+05 6.4519192108037230e+05 5.7018361067515099e+05 5.0053681651305198e+05 4.3603335836113937e+05 3.7705763997978932e+05 3.2387405354518566e+05 2.7611611926914001e+05 2.3326030755030926e+05 1.9481115875666580e+05 1.6033569823695780e+05 1.2976618206046433e+05 1.0583460680541520e+05 9.4184013959110162e+04 8.4543185530873088e+04 6.6408399520815452e+04 4.5848232777550853e+04 2.6734832728670630e+04 9.5039880791726282e+03 -5.9998654990138175e+03 -1.9968658385436280e+04 -3.2582066867349549e+04 -4.4005922122050673e+04 -5.4394038290461809e+04 -6.3890249555244372e+04 -7.2630409031215589e+04 -8.0744354511504178e+04 -8.8357857730587319e+04 -9.5594610860625515e+04 -1.0257826539320138e+05 -1.0994379970008212e+05 -1.1732439776679112e+05 -1.2489188326746809e+05 -1.3283242324774835e+05 -1.4135199494555514e+05 -1.5068328091592080e+05 -1.6109464508397254e+05 -1.7290212901693818e+05 -1.8648606281152720e+05 -2.0231318287866173e+05 -2.2097337001063215e+05 -2.4321632294036780e+05 -2.7001826181878045e+05 -3.0270171001094865e+05 -3.4305655190251587e+05 -3.9357825214342138e+05 -4.5779432816108305e+05 -5.4077746030679520e+05 -6.4987572976402170e+05 -7.9565342092207633e+05 -9.9284609181382449e+05 -1.2606583419648332e+06 -1.6213594639715198e+06 -2.0960835453265177e+06 -2.6979524416770139e+06 -3.4245057458838709e+06 -4.2528595783241475e+06 -5.1405745301924627e+06 -6.0321617207112685e+06 -6.8699579576815842e+06 -7.6050021674764128e+06 -8.2049503349048067e+06 -8.6578879114062749e+06 -8.9716503006674051e+06 -9.1677926933156904e+06 -9.2755796517061759e+06 -9.3243762329697590e+06 -9.3386448176720161e+06 -9.3354064910372626e+06 -9.3280433983668108e+06 -9.3187043780821580e+06 -9.3083483223025035e+06 -9.2971763281715848e+06 -9.2855460169816464e+06 -9.2732805409014001e+06 -9.2603836753487494e+06 -9.2463380996196512e+06 -9.2313044523002692e+06 -9.2150059063291606e+06 -9.1972261274203099e+06 -9.1777022164327726e+06 -9.1561380030096471e+06 -9.1321942626924161e+06 -9.1054953748548403e+06 -9.0756340508208480e+06 -9.0421514205900524e+06 -9.0045612734910138e+06 -8.9623403736432195e+06 -8.9149490944384336e+06 -8.8618461949977744e+06 -8.8025162084204312e+06 -8.7366318629201502e+06 -8.6636140979928542e+06 -8.5834692846576367e+06 -8.4963828087382484e+06 -8.4030377794467118e+06 -8.3045965989132216e+06 -8.2032719518676428e+06 -8.1024329565142756e+06 -8.0070980973906359e+06 -7.9245708115003984e+06 -7.8652461400544569e+06 -7.8439914818971027e+06 -7.8821590788827101e+06 -8.0110706495548282e+06 -8.2781755865417430e+06 -8.7586355782538541e+06 -9.5784003796325047e+06 2.8053129957115202e+05 +3.2684578995414659e-02 -6.6175880080695439e+04 7.2770710373449998e+04 3.1103323521042964e+05 6.1963466081148980e+05 9.2001532972065813e+05 1.0940631779574233e+06 1.0886207731397273e+06 9.9087204941903893e+05 8.9006402553349989e+05 8.0410275865435251e+05 7.2211738457191898e+05 6.4257342986463849e+05 5.6764613533566403e+05 4.9807472926221834e+05 4.3364117794655013e+05 3.7472938740938075e+05 3.2160339683061873e+05 2.7389706809418346e+05 2.3108738722712325e+05 1.9267938065673257e+05 1.5824049392451716e+05 1.2770304185587619e+05 1.0379636622416144e+05 9.2158081856096338e+04 8.2526962955466835e+04 6.4409299566659989e+04 4.3867600942272038e+04 2.4770153893449191e+04 7.5522195108640690e+03 -7.9417446824751469e+03 -2.1903640734782472e+04 -3.4513161420077216e+04 -4.5936205790515465e+04 -5.6326711396284016e+04 -6.5828696414438804e+04 -7.4578264536384580e+04 -8.2705578432533264e+04 -9.0336818247457253e+04 -9.7596179652378327e+04 -1.0460792638318268e+05 -1.1201060356415944e+05 -1.1943663654474942e+05 -1.2705918948648976e+05 -1.3506605313949499e+05 -1.4366517557440259e+05 -1.5309164210388152e+05 -1.6361676544186749e+05 -1.7556023751574993e+05 -1.8930695834734972e+05 -2.0532944304994636e+05 -2.2422504433095438e+05 -2.4675311107342754e+05 -2.7390256736838399e+05 -3.0701324810159579e+05 -3.4789851593278383e+05 -3.9908651403259701e+05 -4.6415059633605467e+05 -5.4822826395531406e+05 -6.5875850418502232e+05 -8.0642891120559210e+05 -1.0061307706430466e+06 -1.2772402584747756e+06 -1.6421727948870598e+06 -2.1221203509655981e+06 -2.7301150549910543e+06 -3.4634381593743432e+06 -4.2988168452567309e+06 -5.1933779542706320e+06 -6.0912433811641447e+06 -6.9344724997503618e+06 -7.6739591200565547e+06 -8.2773318799622227e+06 -8.7327424225473348e+06 -9.0481588769912887e+06 -9.2453009948581122e+06 -9.3536121442254558e+06 -9.4026205514962524e+06 -9.4169194813083727e+06 -9.4136195341851749e+06 -9.4061855319613647e+06 -9.3967646040564440e+06 -9.3863204962275289e+06 -9.3750545135609154e+06 -9.3633266715050470e+06 -9.3509584342772514e+06 -9.3379535152376108e+06 -9.3237902864099350e+06 -9.3086307100678571e+06 -9.2921956395154689e+06 -9.2742669283389766e+06 -9.2545794752458967e+06 -9.2328346288864911e+06 -9.2086903287533466e+06 -9.1817677787386347e+06 -9.1516563203237429e+06 -9.1178932216519471e+06 -9.0799881991135105e+06 -9.0374136340834275e+06 -8.9896253797889482e+06 -8.9360776615846772e+06 -8.8762507000648845e+06 -8.8098144541287124e+06 -8.7361850530784745e+06 -8.6553689038916007e+06 -8.5675529451694451e+06 -8.4734260084132943e+06 -8.3741602327041356e+06 -8.2719868373072259e+06 -8.1703031668534912e+06 -8.0741697175308857e+06 -7.9909511408157349e+06 -7.9311295359494369e+06 -7.9096968433992229e+06 -7.9481841532119233e+06 -8.0781755503497878e+06 -8.3475178914746195e+06 -8.8320024623572286e+06 -9.6586339062639773e+06 2.8397133552975912e+05 +3.2886021841350990e-02 -6.8044937868481182e+04 7.0752362787799007e+04 3.0876020179621677e+05 6.1703060850018926e+05 9.1708706291557814e+05 1.0909451130837121e+06 1.0855059357094720e+06 9.8786042204697873e+05 8.8715950624460471e+05 8.0128988416573021e+05 7.1939235732464679e+05 6.3993400021068554e+05 5.6508758724342869e+05 4.9559144616482226e+05 4.3122768977857486e+05 3.7237972561995353e+05 3.1931123977588193e+05 2.7165643427114579e+05 2.2889280940917047e+05 1.9052587626519013e+05 1.5612349928618682e+05 1.2561805078110161e+05 1.0173621679650842e+05 9.0110182626500842e+04 8.0488707706986403e+04 6.2388093869997385e+04 4.1864786146786522e+04 2.2783210385888266e+04 5.5780980823608925e+03 -9.9060737320229364e+03 -2.3861181381314476e+04 -3.6466937043167905e+04 -4.7889310937060582e+04 -5.8282367764360759e+04 -6.7790313973639262e+04 -7.6549508741145881e+04 -8.4690445270682612e+04 -9.2339718652085649e+04 -9.9622035630271130e+04 -1.0666228098198009e+05 -1.1410261536817977e+05 -1.2157469265402199e+05 -1.2925303521843774e+05 -1.3732707865044897e+05 -1.4600676719648551e+05 -1.5552961953885484e+05 -1.6616993448195589e+05 -1.7825110023266886e+05 -1.9216264396974168e+05 -2.0838293160752545e+05 -2.2751688066605810e+05 -2.5033360972361002e+05 -2.7783490349334985e+05 -3.1137812064896023e+05 -3.5280038753365929e+05 -4.0466291782012052e+05 -4.7058543945356447e+05 -5.5577100464165921e+05 -6.6775045948617253e+05 -8.1733583935129887e+05 -1.0195752610969336e+06 -1.2940171032071591e+06 -1.6632224478293725e+06 -2.1484391197256297e+06 -2.7626060169925550e+06 -3.5027418866537130e+06 -4.3451813517327979e+06 -5.2466154472354297e+06 -6.1507766633718144e+06 -6.9994483257125728e+06 -7.7433813326647552e+06 -8.3501792207123004e+06 -8.8080616294052061e+06 -9.1251305735211652e+06 -9.3232709192954432e+06 -9.4321050275708977e+06 -9.4813242709852569e+06 -9.4956527150579821e+06 -9.4922903969867695e+06 -9.4847849659714215e+06 -9.4752816096130759e+06 -9.4647489197838753e+06 -9.4533883940388579e+06 -9.4415624492106661e+06 -9.4290908493695743e+06 -9.4159772442260403e+06 -9.4016956738790236e+06 -9.3864094316755161e+06 -9.3698370376963392e+06 -9.3517585228125192e+06 -9.3319065706892852e+06 -9.3099800344454907e+06 -9.2856340010614358e+06 -9.2584864798345212e+06 -9.2281234234195296e+06 -9.1940782151801661e+06 -9.1558564747655448e+06 -9.1129261751166452e+06 -9.0647386229031589e+06 -9.0107434831272624e+06 -8.9504166387781128e+06 -8.8834252627251837e+06 -8.8091806466468628e+06 -8.7276892333732788e+06 -8.6391395233877394e+06 -8.5442261039396431e+06 -8.4441309080716241e+06 -8.3411037979826331e+06 -8.2385705100514377e+06 -8.1416337974067889e+06 -8.0577198849034952e+06 -7.9973984389059776e+06 -7.9757866703252699e+06 -8.0145955637353472e+06 -8.1456731057363627e+06 -8.4172659428018257e+06 -8.9057986422957871e+06 -9.7393369066473469e+06 2.8745337590394338e+05 +3.3088706227531260e-02 -6.9935934812327090e+04 6.8712281227595609e+04 3.0646578449186072e+05 6.1440560609765421e+05 9.1413826655708719e+05 1.0878067209525397e+06 1.0823707218276863e+06 9.8482822824101138e+05 8.8423423748220014e+05 7.9845609946177399e+05 7.1664626746952743e+05 6.3727336440665100e+05 5.6250769910540921e+05 4.9308670044180116e+05 4.2879262728290411e+05 3.7000838821079500e+05 3.1699731607446051e+05 2.6939395153697865e+05 2.2667630779026716e+05 1.8835037919095642e+05 1.5398444776765117e+05 1.2351094206286453e+05 9.9653891517903088e+04 8.8040049143317854e+04 7.8428152509650041e+04 6.0344514762754196e+04 3.9839520136476989e+04 2.0773733218064055e+04 3.5813539211649891e+03 -1.1893123573185978e+04 -2.5841552494869593e+04 -3.8443667369563453e+04 -4.9865512909533354e+04 -6.0261284748323473e+04 -6.9775381929581519e+04 -7.8544424077507356e+04 -8.6699240649606087e+04 -9.4366848291828006e+04 -1.0167247248602621e+05 -1.0874162795077606e+05 -1.1622014026793181e+05 -1.2373887880264584e+05 -1.3147374209436381e+05 -1.3961583196022874e+05 -1.4837711447285666e+05 -1.5799757266757177e+05 -1.6875452919271792e+05 -1.8097511501178765e+05 -1.9505354238587333e+05 -2.1147410100353402e+05 -2.3084936721923907e+05 -2.5395835029487303e+05 -2.8181585413300904e+05 -3.1579697599343368e+05 -3.5776289466982038e+05 -4.1030829080786766e+05 -4.7709980973111268e+05 -5.6340679236790643e+05 -6.7685290428738878e+05 -8.2837575967274036e+05 -1.0331814100579590e+06 -1.3109910497712218e+06 -1.6845109285699748e+06 -2.1750426541683213e+06 -2.7954283511761785e+06 -3.5424200708992835e+06 -4.3919562575074425e+06 -5.3002901017267434e+06 -6.2107645397681976e+06 -7.0648882659323681e+06 -7.8132714963364070e+06 -8.4234949271060098e+06 -8.8838480064037871e+06 -9.2025677956328578e+06 -9.4017048260056544e+06 -9.5110606328725088e+06 -9.5604897062637545e+06 -9.5748468244845495e+06 -9.5714213792637922e+06 -9.5638439970833547e+06 -9.5542576886011697e+06 -9.5436358840856887e+06 -9.5321802579160500e+06 -9.5202556355148479e+06 -9.5076800685929917e+06 -9.4944571415298451e+06 -9.4800565377883259e+06 -9.4646428891873918e+06 -9.4479323689389508e+06 -9.4297031745228488e+06 -9.4096857616340853e+06 -9.3875764732676875e+06 -9.3630275273009110e+06 -9.3356537192416508e+06 -9.3050375938580930e+06 -9.2707086266917065e+06 -9.2321683167045582e+06 -9.1888802026244123e+06 -9.1402910179795027e+06 -9.0858458407686483e+06 -9.0250161911004316e+06 -8.9574664390316270e+06 -8.8826030110456347e+06 -8.8004323857266158e+06 -8.7111446345842220e+06 -8.6154401342471261e+06 -8.5145106689854655e+06 -8.4106248529511690e+06 -8.3072369803101309e+06 -8.2094923077812307e+06 -8.1248789942030385e+06 -8.0640547847643271e+06 -8.0422628932870422e+06 -8.0813952504650662e+06 -8.2135652874597926e+06 -8.4874217780155446e+06 -8.9800262738101855e+06 -9.8205117382686585e+06 2.9097793024878111e+05 +3.3292639805863729e-02 -7.1849141694780934e+04 6.6650192950042503e+04 3.0414970622250793e+05 6.1175938297370740e+05 9.1116864647960733e+05 1.0846477218031618e+06 1.0792148544492249e+06 9.8177519775507494e+05 8.8128794938514545e+05 7.9560113218417321e+05 7.1387884377543221e+05 6.3459125132529554e+05 5.5990620023055386e+05 4.9056022196061985e+05 4.2633572047207027e+05 3.6761510540085490e+05 3.1466135603407834e+05 2.6710935023010289e+05 2.2443761266702943e+05 1.8615261964410657e+05 1.5182306941210837e+05 1.2138144552308986e+05 9.7549119975697860e+04 8.5947410863553974e+04 7.6345026662544697e+04 5.8278291144755618e+04 3.7791531217847813e+04 1.8741449955066426e+04 1.5617136987117117e+03 -1.3903168598483086e+04 -2.7845029725280339e+04 -4.0443629527754078e+04 -5.1865090569789187e+04 -6.2263743237888899e+04 -7.1784183541076272e+04 -8.0563296570536389e+04 -8.8732253822650368e+04 -9.6418500187014564e+04 -1.0374778763579227e+05 -1.1084626983514889e+05 -1.1836348728057732e+05 -1.2592951165141519e+05 -1.3372163580638423e+05 -1.4193264943899884e+05 -1.5077656640869737e+05 -1.6049586546265669e+05 -1.7137093130489049e+05 -1.8373268469684036e+05 -1.9798008160976999e+05 -2.1460340936474022e+05 -2.3422299830981623e+05 -2.5762787084122983e+05 -2.8584601052160683e+05 -3.2027047055944568e+05 -3.6278677435863524e+05 -4.1602347054764122e+05 -4.8369467111819267e+05 -5.7113675068738731e+05 -6.8606716294989514e+05 -8.3955024472943717e+05 -1.0469510852885309e+06 -1.3281642950691930e+06 -1.7060407679279326e+06 -2.2019337826477191e+06 -2.8285851064600335e+06 -3.5824758794794129e+06 -4.4391447448000489e+06 -5.3544050311088953e+06 -6.2712100020982074e+06 -7.1307951690190043e+06 -7.8836323196622077e+06 -8.4972815862475187e+06 -8.9601040449217837e+06 -9.2804729655106012e+06 -9.4806050911111850e+06 -9.5904813079605699e+06 -9.6401191888425220e+06 -9.6545041317670755e+06 -9.6510147974441834e+06 -9.6433649385633618e+06 -9.6336951514628995e+06 -9.6229836968095414e+06 -9.6114324100437500e+06 -9.5994085323878862e+06 -9.5867283908517137e+06 -9.5733955028614905e+06 -9.5588751703710444e+06 -9.5433333711060025e+06 -9.5264839176952653e+06 -9.5081031635265555e+06 -9.4879193232935276e+06 -9.4656262152156066e+06 -9.4408731714081131e+06 -9.4132717542686295e+06 -9.3824010815468058e+06 -9.3477866978022270e+06 -9.3089259572146237e+06 -9.2652779384316877e+06 -9.2162847750874236e+06 -9.1613869314100705e+06 -9.1000515392309763e+06 -9.0319401488951817e+06 -8.9564542940215562e+06 -8.8736004888420794e+06 -8.7835703850490414e+06 -8.6870701824893076e+06 -8.5853015742050931e+06 -8.4805520358489268e+06 -8.3763045862979572e+06 -8.2777472336562229e+06 -8.1924304332684139e+06 -8.1311005233529815e+06 -8.1091274568569092e+06 -8.1485851674308665e+06 -8.2818540815097541e+06 -8.5579874493084121e+06 -9.0546875282064807e+06 -9.9021607756543215e+06 2.9454551423849334e+05 +3.3497830275417195e-02 -7.3784835623147708e+04 6.4565821830846893e+04 3.0181168460546009e+05 6.0909165658527706e+05 9.0817794548864965e+05 1.0814678486060398e+06 1.0760380456783648e+06 9.7870105083813297e+05 8.7832036433872557e+05 7.9272470683248749e+05 7.1108981185230485e+05 6.3188738649665541e+05 5.5728281659442070e+05 4.8801173714197916e+05 4.2385669592839642e+05 3.6519960398842249e+05 3.1230308653141855e+05 2.6480235725064692e+05 2.2217645089768426e+05 1.8393232439359592e+05 1.4963909081984009e+05 1.1922928753862718e+05 9.5421628308201689e+04 8.3831993787961823e+04 7.4239055999625300e+04 5.6189148443192986e+04 3.5720544217699491e+04 1.6686084674496007e+04 -4.8109941053746604e+02 -1.5936486708521019e+04 -2.9871892243649105e+04 -4.2467104183224910e+04 -5.3888326335436948e+04 -6.4290027700671882e+04 -7.3817005671577819e+04 -8.2606415881210443e+04 -9.0789777716271768e+04 -9.8494971075156092e+04 -1.0584828226458305e+05 -1.1297651301118915e+05 -1.2053296933151624e+05 -1.2814691186129097e+05 -1.3599704615679148e+05 -1.4427787169758353e+05 -1.5320547640483358e+05 -1.6302486647664002e+05 -1.7401952734863493e+05 -1.8652421719150251e+05 -2.0094269502725845e+05 -2.1777132056140408e+05 -2.3763827444813811e+05 -2.6134271614555441e+05 -2.8992597127689602e+05 -3.2479926895320637e+05 -3.6787277278073970e+05 -4.2180930496483360e+05 -4.9037099943672802e+05 -5.7896201686563494e+05 -6.9539457575420872e+05 -8.5086088552771730e+05 -1.0608861756491605e+06 -1.3455390595217652e+06 -1.7278145219873257e+06 -2.2291153595006601e+06 -2.8620793573528267e+06 -3.6229125040601869e+06 -4.4867500184106929e+06 -5.4089633695999207e+06 -6.3321160614474555e+06 -7.1971719018704602e+06 -7.9544665288611157e+06 -8.5715418024686910e+06 -9.0368322533158083e+06 -9.3588485222021863e+06 -9.5599741075384133e+06 -9.6703694174207319e+06 -9.7202150669237003e+06 -9.7346269757890664e+06 -9.7310729846124947e+06 -9.7233501203274634e+06 -9.7135963252466768e+06 -9.7027946822404023e+06 -9.6911471718526948e+06 -9.6790234583234154e+06 -9.6662381315920893e+06 -9.6527946404512692e+06 -9.6381538803424649e+06 -9.6224831823901180e+06 -9.6054939848651011e+06 -9.5869607862723805e+06 -9.5666095472529046e+06 -9.5441315464898888e+06 -9.5191732135974243e+06 -9.4913428584628962e+06 -9.4602161525728237e+06 -9.4253146862258054e+06 -9.3861316446427722e+06 -9.3421216203277279e+06 -9.2927221201916747e+06 -9.2373689677618034e+06 -9.1755248810646888e+06 -9.1068485737698395e+06 -9.0307366587992478e+06 -8.9471956859184355e+06 -8.8564188962334469e+06 -8.7591183468217347e+06 -8.6565056973072663e+06 -8.5508873949391730e+06 -8.4457753510848302e+06 -8.3464005743199643e+06 -8.2603761807686286e+06 -8.1985376185505502e+06 -8.1763823195876954e+06 -8.2161672827277668e+06 -8.3505414881628715e+06 -8.6289650236663278e+06 -9.1297845924301259e+06 -9.9842864104186874e+06 2.9815664973876806e+05 +3.3704285382711648e-02 -7.5743296589881764e+04 6.2458888321584469e+04 2.9945144492938882e+05 6.0640215000177943e+05 9.0516586574803258e+05 1.0782668142317391e+06 1.0728400275939784e+06 9.7560550937575207e+05 8.7533120024979790e+05 7.8982654464560095e+05 7.0827889360227238e+05 6.2916149213250400e+05 5.5463727084616630e+05 4.8544096887267666e+05 4.2135527678087028e+05 3.6276160730060504e+05 3.0992223096496827e+05 2.6247269602065627e+05 2.1989254586254354e+05 1.8168921672655464e+05 1.4743223510702673e+05 1.1705419100001530e+05 9.3271139164034408e+04 8.1693520420416258e+04 7.2109962848590512e+04 5.4076808571568079e+04 3.3626280442039439e+04 1.4607357925010308e+04 -2.5473657705010769e+03 -1.7993359353560030e+04 -3.1922422784178692e+04 -4.4514375580539221e+04 -5.5935506222166361e+04 -6.6340426225056566e+04 -7.5874138832086872e+04 -8.4674075349836596e+04 -9.2872108974106421e+04 -1.0059656145538378e+05 -1.0797426137166325e+05 -1.1513266773058880e+05 -1.2272890330050567e+05 -1.3039140414182910e+05 -1.3830030710809032e+05 -1.4665184363899799e+05 -1.5566420231121365e+05 -1.6558494889801912e+05 -1.7670070871168104e+05 -1.8935012552167274e+05 -2.0394182146026808e+05 -2.2097830427715593e+05 -2.4109570241011202e+05 -2.6510343780273979e+05 -2.9405634249067336e+05 -3.2938404406234244e+05 -3.7302164538956049e+05 -4.2766665248431306e+05 -4.9712978252248815e+05 -5.8688374204491044e+05 -7.0483649908876070e+05 -8.6230929172537324e+05 -1.0749885913157756e+06 -1.3631175872911664e+06 -1.7498347723113869e+06 -2.2565902652445356e+06 -2.8959142041159528e+06 -3.6637331607568609e+06 -4.5347753058189889e+06 -5.4639682722985847e+06 -6.3934857483480060e+06 -7.2640213497528089e+06 -8.0257768678086791e+06 -8.6462781973610949e+06 -9.1140351569961011e+06 -9.4376969216956850e+06 -9.6398142850564420e+06 -9.7507273426322173e+06 -9.8007797054842189e+06 -9.8152177121609095e+06 -9.8115982905545998e+06 -9.8038018889857307e+06 -9.7939635536575858e+06 -9.7830711812983658e+06 -9.7713268813967351e+06 -9.7591027484521344e+06 -9.7462116228556540e+06 -9.7326568830672503e+06 -9.7178949929398969e+06 -9.7020946445055772e+06 -9.6849648878028020e+06 -9.6662783556662928e+06 -9.6457587414894085e+06 -9.6230947696428858e+06 -9.5979299504137076e+06 -9.5698693216471691e+06 -9.5384850892586149e+06 -9.5032948658660259e+06 -9.4637876434308346e+06 -9.4194135021360684e+06 -9.3696052952135876e+06 -9.3137941783750188e+06 -9.2514384302460924e+06 -9.1821939107085299e+06 -9.1054522840645444e+06 -9.0212201355036106e+06 -8.9296923047980778e+06 -8.8315867404053994e+06 -8.7281251266822107e+06 -8.6216329931570254e+06 -8.5156513122626841e+06 -8.4154543433548640e+06 -8.3287182295483593e+06 -8.2663680482670087e+06 -8.2440294540692018e+06 -8.2841435785280168e+06 -8.4196295220111199e+06 -8.7003565828415286e+06 -9.2053196690814365e+06 -1.0066891051297031e+07 3.0181186487991194e+05 +3.3912012922010723e-02 -7.7724806026192717e+04 6.0329108852786005e+04 2.9706870651318401e+05 6.0369057797773287e+05 9.0213213677539467e+05 1.0750443298730801e+06 1.0696205105731112e+06 9.7248828877297195e+05 8.7232017519627954e+05 7.8690636409571487e+05 7.0544580719155166e+05 6.2641328704122931e+05 5.5196928220609203e+05 4.8284763646695536e+05 4.1883118266449752e+05 3.6030083513989643e+05 3.0751850920890889e+05 2.6012008644160777e+05 2.1758561742158042e+05 1.7942301640403073e+05 1.4520222186442191e+05 1.1485587527035485e+05 9.1097371660729463e+04 7.9531709725842316e+04 6.9957465989352932e+04 5.1940989888248063e+04 3.1508457634484501e+04 1.2504986684624106e+04 -4.6373693254236014e+03 -2.0074071575635917e+04 -3.3996907686421488e+04 -4.6585731585865913e+04 -5.8006919886573167e+04 -6.8415230563318182e+04 -7.7955877224639815e+04 -8.6766572040261468e+04 -9.4979548001321120e+04 -1.0272357563365494e+05 -1.1012603381608088e+05 -1.1731504816796922e+05 -1.2495161006976290e+05 -1.3266331729977662e+05 -1.4063175683223069e+05 -1.4905491451000131e+05 -1.5815310648079007e+05 -1.6817649060704818e+05 -1.7941487169765643e+05 -1.9221082789644512e+05 -2.0697790523353565e+05 -2.2422483607974334e+05 -2.4459579531330688e+05 -2.6891059430188435e+05 -2.9823773781829502e+05 -3.3402547715703316e+05 -3.7823415702552255e+05 -4.3359638215641008e+05 -5.0397202036939928e+05 -5.9490309140290553e+05 -7.1439430562899774e+05 -8.7389709183500265e+05 -1.0892602639981739e+06 -1.3809021465005043e+06 -1.7721041261522789e+06 -2.2843614067650777e+06 -2.9300927729315343e+06 -3.7049410902597611e+06 -4.5832238572946219e+06 -5.5194229153220281e+06 -6.4553221128230896e+06 -7.3313464163375124e+06 -8.0975660981156155e+06 -8.7214934098160472e+06 -9.1917152984427884e+06 -9.5170206368951425e+06 -9.7201280503059309e+06 -9.8315574818073548e+06 -9.8818154862927590e+06 -9.8962787132395878e+06 -9.8925930817981809e+06 -9.8847226078356933e+06 -9.8747991971178781e+06 -9.8638155515717994e+06 -9.8519738933799919e+06 -9.8396487545084078e+06 -9.8266512132670898e+06 -9.8129845760732945e+06 -9.7981008499784041e+06 -9.7821700954575874e+06 -9.7648989603943471e+06 -9.7460582010643613e+06 -9.7253692304404248e+06 -9.7025182036508266e+06 -9.6771456947688255e+06 -9.6488534499647319e+06 -9.6172101901669763e+06 -9.5817295268212929e+06 -9.5418962341457289e+06 -9.4971558537606746e+06 -9.4469365580181256e+06 -9.3906648076830674e+06 -9.3277944161615353e+06 -9.2579783724315241e+06 -9.1806033640473504e+06 -9.0956760115057398e+06 -9.0033927625881936e+06 -8.9044774914619923e+06 -8.8001619656514376e+06 -8.6927909081321545e+06 -8.5859345219121128e+06 -8.4849105687184092e+06 -8.3974585866487194e+06 -8.3345938045284692e+06 -8.3120708469320722e+06 -8.3525160511456737e+06 -8.4891202120177560e+06 -8.7721642234460916e+06 -9.2812949764567148e+06 -1.0149977124181291e+07 3.0551169413083984e+05 +3.4121020735615966e-02 -7.9729650719824538e+04 5.8176198669545127e+04 2.9466317461864610e+05 6.0095664747288649e+05 8.9907645739496755e+05 1.0718001154583988e+06 1.0663792029540243e+06 9.6934910094215011e+05 8.6928700379804615e+05 7.8396387965519936e+05 7.0259026737285638e+05 6.2364248652265791e+05 5.4927856630111206e+05 4.8023145568628883e+05 4.1628412965598766e+05 3.5781700373371918e+05 3.0509163757113030e+05 2.5774424485416897e+05 2.1525538187313091e+05 1.7713343961985060e+05 1.4294876711522910e+05 1.1263405614309826e+05 8.8900041342432494e+04 7.7346277088624149e+04 6.7781280611895039e+04 4.9781407154196888e+04 2.9366789933963264e+04 1.0378684318346208e+04 -6.7513976423546173e+03 -2.2178912051265252e+04 -3.6095636938263124e+04 -4.8681463730073549e+04 -6.0102860669583264e+04 -7.0514736175350088e+04 -8.0062518786465531e+04 -8.8884206784259135e+04 -9.7112399009727378e+04 -1.0487632176808354e+05 -1.1230391236338361e+05 -1.1952397246757604e+05 -1.2720141457241842e+05 -1.3496298428860449e+05 -1.4299173776226619e+05 -1.5148743795377421e+05 -1.6067255582373540e+05 -1.7079987423242221e+05 -1.8216241758659770e+05 -1.9510674777116289e+05 -2.1005139624076951e+05 -2.2751139749181387e+05 -2.4813907269489428e+05 -2.7276475111035106e+05 -3.0247077857179835e+05 -3.3872425798985985e+05 -3.8351108202840993e+05 -4.3959937378650333e+05 -5.1089872527663189e+05 -6.0302124432280392e+05 -7.2406938452926371e+05 -8.8562593343187787e+05 -1.1037031471650426e+06 -1.3988950294670400e+06 -1.7946252166798858e+06 -2.3124317175120842e+06 -2.9646182160618072e+06 -3.7465395579703897e+06 -4.6320989459963990e+06 -5.5753304958597226e+06 -6.5176282244606130e+06 -7.3991500237915264e+06 -8.1698369991419986e+06 -8.7971900960964654e+06 -9.2698752372758612e+06 -9.5968221577355023e+06 -9.8009178468657918e+06 -9.9128622500173301e+06 -9.9633248079425972e+06 -9.9778123682196140e+06 -9.9740597416422386e+06 -9.9661146569584068e+06 -9.9561056327775251e+06 -9.9450301673934069e+06 -9.9330905792231709e+06 -9.9206638449282181e+06 -9.9075592681307625e+06 -9.8937800814876389e+06 -9.8787738098837975e+06 -9.8627118898296896e+06 -9.8452985530667789e+06 -9.8263026683770511e+06 -9.8054433550103959e+06 -9.7824041839252375e+06 -9.7568227759649437e+06 -9.7282975659075510e+06 -9.6963937701888680e+06 -9.6606209754267838e+06 -9.6204597135597151e+06 -9.5753509611547161e+06 -9.5247181825062074e+06 -9.4679831160365455e+06 -9.4045950840469319e+06 -9.3342041873324756e+06 -9.2561921085316371e+06 -9.1705655032829586e+06 -9.0775224367518518e+06 -8.9777927433236726e+06 -8.8726183324130736e+06 -8.7643632322345506e+06 -8.6566270466896202e+06 -8.5547712927303892e+06 -8.4665992733461447e+06 -8.4032168934852593e+06 -8.3805084989013253e+06 -8.4212867110342458e+06 -8.5590156015181784e+06 -8.8443900569407642e+06 -9.3577127485643588e+06 -1.0233547072178304e+07 3.0925667837392143e+05 +3.4331316714162896e-02 -8.1758120382950190e+04 5.5999864964892295e+04 2.9223456619604491e+05 5.9820006935176882e+05 8.9599853679116862e+05 1.0685338687011709e+06 1.0631158200218484e+06 9.6618765701269510e+05 8.6623139568131324e+05 7.8099880134396011e+05 6.9971198535114154e+05 6.2084880216581537e+05 5.4656483508383948e+05 4.7759213876325579e+05 4.1371383020670590e+05 3.5530982569223421e+05 3.0264132875356835e+05 2.5534488399279758e+05 2.1290155191062484e+05 1.7482019895620996e+05 1.4067158327191073e+05 1.1038844579946481e+05 8.6678860137663476e+04 7.5136934269947960e+04 6.5581118273925444e+04 4.7597771490381296e+04 2.7200987832000083e+04 8.2281605353145460e+03 -8.8897419541816671e+03 -2.4308173134549019e+04 -3.8218904219255535e+04 -5.0801867252480777e+04 -6.2223625640403923e+04 -7.2639242272890420e+04 -8.2194365234842626e+04 -9.1027284226679607e+04 -9.9270970063522633e+04 -1.0705511191556419e+05 -1.1450821373225424e+05 -1.2175976279156507e+05 -1.2947864584059666e+05 -1.3729074225825979e+05 -1.4538059664343332e+05 -1.5394977206310825e+05 -1.6322292186286123e+05 -1.7345548720911497e+05 -1.8494375269455541e+05 -1.9803831391169090e+05 -2.1316275001283965e+05 -2.3083847606396550e+05 -2.5172606058810535e+05 -2.7666648075866874e+05 -3.0675609381245315e+05 -3.4348108490091929e+05 -3.8885320435245644e+05 -4.4567651806175435e+05 -5.1791092199206934e+05 -6.1123939455640095e+05 -7.3386314160735812e+05 -8.9749748336473736e+05 -1.1183192162685960e+06 -1.4170985529248533e+06 -1.8174007031899451e+06 -2.3408041576999393e+06 -2.9994937120150090e+06 -3.7885318541268730e+06 -4.6814038680793298e+06 -5.6316942322554681e+06 -6.5804071725068390e+06 -7.4674351128084082e+06 -8.2425923680946222e+06 -8.8733709298617020e+06 -9.3485175502687264e+06 -9.6771039911812898e+06 -9.8821861352458280e+06 -9.9946440792581216e+06 -1.0045310085918300e+07 -1.0059821083108956e+07 -1.0056000670205703e+07 -1.0047980433213485e+07 -1.0037885254569704e+07 -1.0026717419844951e+07 -1.0014679327067105e+07 -1.0002150404857829e+07 -9.9889381694499291e+06 -9.9750457779704127e+06 -9.9599162477201466e+06 -9.9437223988344129e+06 -9.9261660328385048e+06 -9.9070141200573314e+06 -9.8859834726590496e+06 -9.8627550623792689e+06 -9.8369635397674348e+06 -9.8082040083646793e+06 -9.7760381605342384e+06 -9.7399715342971105e+06 -9.6994803946112227e+06 -9.6540011264637858e+06 -9.6029524586231690e+06 -9.5457513797368221e+06 -9.4818426949629188e+06 -9.4108735995647814e+06 -9.3322207428825982e+06 -9.2458908156158403e+06 -9.1520835096983351e+06 -9.0515346544290539e+06 -8.9454963601253033e+06 -8.8363520725972969e+06 -8.7277309678423665e+06 -8.6250385721330140e+06 -8.5361423251906559e+06 -8.4722393354352806e+06 -8.4493444248302281e+06 -8.4904575828534197e+06 -8.6293177482779752e+06 -8.9170362097153068e+06 -9.4345752352074459e+06 -1.0317603355630487e+07 3.1304736498068698e+05 +3.4542908796918889e-02 -8.3810508123562700e+04 5.3799816926940592e+04 2.8978258161958435e+05 5.9542055798967683e+05 8.9289807857995667e+05 1.0652453133954627e+06 1.0598300630195367e+06 9.6300366148531681e+05 8.6315305555337819e+05 7.7801083643079537e+05 6.9681066824889777e+05 6.1803194170656009e+05 5.4382779681598651e+05 4.7492939435215801e+05 4.1111999309467623e+05 3.5277900997690146e+05 3.0016729181410710e+05 2.5292171294288177e+05 2.1052383657920049e+05 1.7248300334293692e+05 1.3837037909440554e+05 1.0811875276545015e+05 8.4433536315922538e+04 7.2903389364674411e+04 6.3356686857716770e+04 4.5389790334794270e+04 2.5010758129442558e+04 6.0531213453943765e+03 -1.1052697203177013e+04 -2.6462150901042885e+04 -4.0367006944563182e+04 -5.2947241145010397e+04 -6.4369515641011647e+04 -7.4789051864315654e+04 -8.4351722112030067e+04 -9.3196112870933386e+04 -1.0145557312533511e+05 -1.0926026207846669e+05 -1.1673925864220397e+05 -1.2402274536752469e+05 -1.3178363705527922e+05 -1.3964693260596762e+05 -1.4779868458532536e+05 -1.5644227943366746e+05 -1.6580458078920108e+05 -1.7614372183594425e+05 -1.8775928843458608e+05 -2.0100596045819376e+05 -2.1631242778567548e+05 -2.3420656544735492e+05 -2.5535729160291262e+05 -2.8061636292597081e+05 -3.1109432044443430e+05 -3.4829666492160107e+05 -3.9426131768411380e+05 -4.5182871668616327e+05 -5.2500964786411240e+05 -6.1955875039721781e+05 -7.4377699953864445e+05 -9.0951342796592286e+05 -1.1331104689653739e+06 -1.4355150582583563e+06 -1.8404332713267975e+06 -2.3694817145000873e+06 -3.0347224657116774e+06 -3.8309212939481060e+06 -4.7311419428077117e+06 -5.6885173641182818e+06 -6.6436620658896565e+06 -7.5362046426621210e+06 -8.3158350200353926e+06 -8.9500386022184566e+06 -9.4276448314221203e+06 -9.7578686612745281e+06 -9.9639353930070605e+06 -1.0076905418478556e+07 -1.0127773752609989e+07 -1.0142307280804485e+07 -1.0138418284454703e+07 -1.0130322350318246e+07 -1.0120140473237962e+07 -1.0108879716788286e+07 -1.0096742541849192e+07 -1.0084110836198855e+07 -1.0070790315952821e+07 -1.0056784060925338e+07 -1.0041530555239609e+07 -1.0025204010330347e+07 -1.0007503783368558e+07 -9.9881949351461418e+06 -9.9669919573658742e+06 -9.9435732074186206e+06 -9.9175703483941089e+06 -9.8885751326483879e+06 -9.8561457088056300e+06 -9.8197835423630085e+06 -9.7789606065189634e+06 -9.7331086679469924e+06 -9.6816416923991293e+06 -9.6239718910814747e+06 -9.5595395258664209e+06 -9.4879888690190148e+06 -9.4086915081385858e+06 -9.3216541688012592e+06 -9.2270781791991703e+06 -9.1257053983998615e+06 -9.0187981969411168e+06 -8.9087595511586685e+06 -8.7992483812012300e+06 -8.6957144781162236e+06 -8.6060897920189016e+06 -8.5416631648729928e+06 -8.5185806537322439e+06 -8.5600307054756545e+06 -8.7000287245206088e+06 -8.9901048230721187e+06 -9.5118847019943763e+06 -1.0402148452177469e+07 3.1688430788840703e+05 +3.4755804972082922e-02 -8.5887111647036480e+04 5.1575754972758550e+04 2.8730692687824654e+05 5.9261780563479324e+05 8.8977479863348836e+05 1.0619341238933578e+06 1.0565216401142390e+06 9.5979681561011984e+05 8.6005168717991817e+05 7.7499968808320118e+05 6.9388601919979125e+05 6.1519160909922246e+05 5.4106715602139314e+05 4.7224292741529725e+05 4.0850232339601492e+05 3.5022426186522440e+05 2.9766923212301487e+05 2.5047443709683104e+05 2.0812194123139756e+05 1.7012155801256609e+05 1.3604485964565413e+05 1.0582468186835518e+05 8.2163774444355615e+04 7.0645346757566324e+04 6.1107690526396516e+04 4.3157167398298108e+04 2.2795803892608801e+04 3.8532690151847969e+03 -1.3240562085159469e+04 -2.8641145192028336e+04 -4.2540246309636685e+04 -5.5117888196941662e+04 -6.6540835331203707e+04 -7.6964471800273852e+04 -8.6534898831205646e+04 -9.5391005125597803e+04 -1.0366652410309459e+05 -1.1149209225196519e+05 -1.1899737186151349e+05 -1.2631325053839319e+05 -1.3411672559639069e+05 -1.4203190102773884e+05 -1.5024635711425304e+05 -1.5896532721930076e+05 -1.6841791351840296e+05 -1.7886497533555227e+05 -1.9060944137910946e+05 -2.0401012699074464e+05 -2.1950089656940001e+05 -2.3761616546856257e+05 -2.5903330500414458e+05 -2.8461498452641716e+05 -3.1548610331094707e+05 -3.5317171387810155e+05 -3.9973622555837274e+05 -4.5805688251084194e+05 -5.3219595299159584e+05 -6.2798053484866058e+05 -7.5381239804833021e+05 -9.2167547326358606e+05 -1.1480789253510344e+06 -1.4541469117357146e+06 -1.8637256333047803e+06 -2.3984674022316006e+06 -3.0703077086509820e+06 -3.8737112177648610e+06 -4.7813165126494532e+06 -5.7458031523662927e+06 -6.7073960333380783e+06 -7.6054615912957890e+06 -8.3895677879678477e+06 -9.0271958217798248e+06 -9.5072596919818204e+06 -9.8391187091846429e+06 -1.0046168114714175e+07 -1.0159648733605692e+07 -1.0210718257353000e+07 -1.0225273401140228e+07 -1.0221315018260187e+07 -1.0213142838846976e+07 -1.0202873716384092e+07 -1.0191519482944682e+07 -1.0179282645310953e+07 -1.0166547557642812e+07 -1.0153118123133954e+07 -1.0138997342468154e+07 -1.0123619140913201e+07 -1.0107159128883488e+07 -1.0089314204962486e+07 -1.0069847509338971e+07 -1.0048471199741133e+07 -1.0024861004036887e+07 -9.9986455806057751e+06 -9.9694133105547167e+06 -9.9367187790106423e+06 -9.9000593549244646e+06 -9.8589026947879232e+06 -9.8126759201368056e+06 -9.7607882059958335e+06 -9.7026469583935775e+06 -9.6376878696239199e+06 -9.5655522714060768e+06 -9.4856066609663013e+06 -9.3978577986403741e+06 -9.3025086583705060e+06 -9.2003071640366968e+06 -9.0925260060301367e+06 -8.9815878047011700e+06 -8.8711813973038029e+06 -8.7668010963603817e+06 -8.6764437380135246e+06 -8.6114904305362348e+06 -8.5882192287806384e+06 -8.6300081320406031e+06 -8.7711506169594098e+06 -9.0635980532970466e+06 -9.5896434303415846e+06 -1.0487184856773455e+07 3.2076806767753768e+05 +3.4970013277087146e-02 -8.7988229478802969e+04 4.9327379778641451e+04 2.8480729848171095e+05 5.8979150552998111e+05 8.8662837531671789e+05 1.0586000124965967e+06 1.0531902395427770e+06 9.5656681891942245e+05 8.5692699042975181e+05 7.7196505534193048e+05 6.9093773827845708e+05 6.1232750469715928e+05 5.3828261344707292e+05 4.6953243910497020e+05 4.0586052246565843e+05 3.4764528290854895e+05 2.9514685132023349e+05 2.4800275810940238e+05 2.0569556748155234e+05 1.6773556445949877e+05 1.3369472624839208e+05 1.0350593419246595e+05 7.9869275343289919e+04 6.8362507079519724e+04 5.8833829679815521e+04 4.0899602620745318e+04 2.0555824408902012e+04 1.6283020234905584e+03 -1.5453639094166321e+04 -3.0845459659370204e+04 -4.4738927335117238e+04 -5.7314115040344004e+04 -6.8737893234243602e+04 -7.9165812819390892e+04 -8.8744208722802679e+04 -9.7612277351094643e+04 -1.0590414289739421e+05 -1.1375092647194632e+05 -1.2128288225637417e+05 -1.2863161281116061e+05 -1.3647825309308927e+05 -1.4444599756974637e+05 -1.5272397422725649e+05 -1.6151928718641418e+05 -1.7106330574848739e+05 -1.8161964991289770e+05 -1.9349463332193042e+05 -2.0705125859489216e+05 -2.2272862921926865e+05 -2.4106778220360991e+05 -2.6275464679393684e+05 -2.8866293979874195e+05 -3.1993209529030358e+05 -3.5810695650126343e+05 -4.0527874147869315e+05 -4.6436193966846261e+05 -5.3947090037531627e+05 -6.3650598579747928e+05 -7.6397079410423141e+05 -9.3398534520132758e+05 -1.1632266281866811e+06 -1.4729965047326724e+06 -1.8872805281301439e+06 -2.4277642625767752e+06 -3.1062526990757994e+06 -3.9169049911345295e+06 -4.8319309433887377e+06 -5.8035548793541938e+06 -6.7716122234024936e+06 -7.6752089553562095e+06 -8.4637935228651762e+06 -9.1048453146970030e+06 -9.5873647605039924e+06 -9.9208566932446714e+06 -1.0128886812024053e+07 -1.0242876507612906e+07 -1.0294146066493629e+07 -1.0308721900906788e+07 -1.0304693322419021e+07 -1.0296444346296610e+07 -1.0286087428514332e+07 -1.0274639159908962e+07 -1.0262302076041481e+07 -1.0249463004738342e+07 -1.0235924023315752e+07 -1.0221688051530991e+07 -1.0206184429993320e+07 -1.0189590175790966e+07 -1.0171599714649389e+07 -1.0151974254993834e+07 -1.0130423607030472e+07 -1.0106620853821356e+07 -1.0080191631700177e+07 -1.0050720930383366e+07 -1.0017759751604475e+07 -9.9808013436636273e+06 -9.9393090212358385e+06 -9.8927052337538768e+06 -9.8403943377191667e+06 -9.7817789060586765e+06 -9.7162900350634288e+06 -9.6435660982582793e+06 -9.5629684737668429e+06 -9.4745039565066937e+06 -9.3783771757379379e+06 -9.2753421553838160e+06 -9.1666819656210616e+06 -9.0548389848652016e+06 -8.9435321413344722e+06 -8.8383005270466637e+06 -8.7472062417185996e+06 -8.6817231954047289e+06 -8.6582622073995247e+06 -8.7003919299649522e+06 -8.8426855268311575e+06 -9.1375180716892146e+06 -9.6678537175891530e+06 -1.0572715081737353e+07 3.2469921165007242e+05 +3.5185541798900322e-02 -9.0114168814012271e+04 4.7054386491300196e+04 2.8228339127528778e+05 5.8694136481940537e+05 8.8345850990944006e+05 1.0552426658669156e+06 1.0498355572208911e+06 9.5331336503488338e+05 8.5377866144059517e+05 7.6890663327428245e+05 6.8796552216138097e+05 6.0943932531589468e+05 5.3547386608630139e+05 4.6679762672275776e+05 4.0319428790596576e+05 3.4504177088565181e+05 2.9259984726721892e+05 2.4550637385310288e+05 2.0324441316215252e+05 1.6532472039510770e+05 1.3131967644064332e+05 1.0116220703419592e+05 7.7549736041620214e+04 6.6054567162250314e+04 5.6534800909695456e+04 3.8616792125826447e+04 1.8290515141804819e+04 -6.2208498378388742e+02 -1.7692234567680069e+04 -3.3075401810931449e+04 -4.6963358912640142e+04 -5.9536232195838296e+04 -7.0961001783140367e+04 -8.1393389595050088e+04 -9.0979969081631294e+04 -9.9860249906958255e+04 -1.0816875344938728e+05 -1.1603709286398023e+05 -1.2359612283962154e+05 -1.3097817090774224e+05 -1.3886856547520807e+05 -1.4688957668112215e+05 -1.5523190044570636e+05 -1.6410453577044341e+05 -1.7374114801686359e+05 -1.8440815281649592e+05 -1.9641529134174701e+05 -2.1012980592886373e+05 -2.2599610450601182e+05 -2.4456192805465372e+05 -2.6652186979260243e+05 -2.9276083039363247e+05 -3.2443295739313366e+05 -3.6310312653254502e+05 -4.1088968903811899e+05 -4.7074482370984880e+05 -5.4683556607316551e+05 -6.4513635618953209e+05 -7.7425366211808508e+05 -9.4644478985155642e+05 -1.1785556431300477e+06 -1.4920662539769330e+06 -1.9111007218241976e+06 -2.4573753647593209e+06 -3.1425607221359443e+06 -3.9605060050025997e+06 -4.8829886242245361e+06 -5.8617758489128035e+06 -6.8363138045509122e+06 -7.7454497502538608e+06 -8.5385150937335454e+06 -9.1829898247078992e+06 -9.6679626828886829e+06 -1.0003085188981334e+07 -1.0212094013716483e+07 -1.0326591240529228e+07 -1.0378059663389888e+07 -1.0392655253866170e+07 -1.0388555664704451e+07 -1.0380229337119533e+07 -1.0369784071049975e+07 -1.0358241206170840e+07 -1.0345803289544551e+07 -1.0332859629878208e+07 -1.0319210465655737e+07 -1.0304858633868407e+07 -1.0289228864519838e+07 -1.0272499589112690e+07 -1.0254362746194422e+07 -1.0234577601178288e+07 -1.0212851603130465e+07 -1.0188855174979215e+07 -1.0162210913580105e+07 -1.0132500396955593e+07 -1.0099271023545351e+07 -1.0062011896682778e+07 -1.0020181964051787e+07 -9.9731989758509584e+06 -9.9204624420941509e+06 -9.8613700745774247e+06 -9.7953483470114581e+06 -9.7220326570068616e+06 -9.6407792346639577e+06 -9.5515949093573540e+06 -9.4546859752737544e+06 -9.3508125917606466e+06 -9.2412682690104321e+06 -9.1285152582028732e+06 -9.0163027532199770e+06 -8.9102148849133812e+06 -8.8183793960693795e+06 -8.7523635367498621e+06 -8.7287116612433940e+06 -8.7711841809976045e+06 -8.9146355699158702e+06 -9.2118670645718370e+06 -9.7465178769521918e+06 -1.0658741656787738e+07 3.2867831390878308e+05 +3.5402398674333126e-02 -9.2265235467352584e+04 4.4756466435975664e+04 2.7973489553035481e+05 5.8406706558740232e+05 8.8026489988940477e+05 1.0518617880117383e+06 1.0464572895663627e+06 9.5003614413108886e+05 8.5060639003230783e+05 7.6582411372845818e+05 6.8496906332106015e+05 6.0652676405589550e+05 5.3264060718698765e+05 4.6403818373894319e+05 4.0050331351448072e+05 3.4241341975149669e+05 2.9002791399973788e+05 2.4298497837341894e+05 2.0076817227696904e+05 1.6288871970411684e+05 1.2891940393068088e+05 9.8793193857164515e+04 7.5204849731392736e+04 6.3721219993401130e+04 5.4210296954441859e+04 3.6308428175826128e+04 1.5999567685338694e+04 -2.8982012393031710e+03 -1.9956658732540538e+04 -3.5331283056693232e+04 -4.9213853850997235e+04 -6.1784554119382003e+04 -7.3210477367423475e+04 -8.3647520782324224e+04 -9.3242501214299889e+04 -1.0213524720018872e+05 -1.1046068378961780e+05 -1.1835092369210758e+05 -1.2593743082129212e+05 -1.3335326781553958e+05 -1.4128801302542604e+05 -1.4936299726737585e+05 -1.5777050487015361e+05 -1.6672145413153266e+05 -1.7645183575986093e+05 -1.8723089639911804e+05 -1.9937184786620786e+05 -2.1324622529124282e+05 -2.2930380718722625e+05 -2.4809912182621559e+05 -2.7033553372175986e+05 -2.9690926546443842e+05 -3.2898935886185907e+05 -3.6816096683339257e+05 -4.1656990204011893e+05 -4.7720648174172925e+05 -5.5429103935496276e+05 -6.5387291420590563e+05 -7.8466249414044258e+05 -9.5905557363747433e+05 -1.1940680589725235e+06 -1.5113586017821869e+06 -1.9351890076463011e+06 -2.4873038057584912e+06 -3.1792350900613167e+06 -4.0045176758210366e+06 -4.9344929678778434e+06 -5.9204693864654060e+06 -6.9015039652420720e+06 -7.8161870102237454e+06 -8.6137353876531199e+06 -9.2616321131964680e+06 -9.7490561224052161e+06 -1.0085806789194508e+07 -1.0295792265749864e+07 -1.0410795449492667e+07 -1.0462461548472781e+07 -1.0477075950863959e+07 -1.0472904529895982e+07 -1.0464500292736100e+07 -1.0453966122390388e+07 -1.0442328097184077e+07 -1.0429788758219132e+07 -1.0416739902368177e+07 -1.0402979916189583e+07 -1.0388511552070379e+07 -1.0372754903352758e+07 -1.0355889823739620e+07 -1.0337605750128582e+07 -1.0317659993699709e+07 -1.0295757628680464e+07 -1.0271566402395092e+07 -1.0244705854769653e+07 -1.0214754131702861e+07 -1.0181255008318048e+07 -1.0143693418549506e+07 -1.0101523917790055e+07 -1.0054159529758021e+07 -1.0000994889866175e+07 -9.9414228205691092e+06 -9.8748651463190597e+06 -9.8009542709586006e+06 -9.7190412475598678e+06 -9.6291329397907685e+06 -9.5314373164036833e+06 -9.4267207077734675e+06 -9.3162871246470883e+06 -9.2026188062104676e+06 -9.0894953876391891e+06 -8.9825462992826793e+06 -8.8899653084436860e+06 -8.8234135461654756e+06 -8.7995696762595922e+06 -8.8423869812216163e+06 -8.9870028765927758e+06 -9.2866472333771288e+06 -9.8256382376151383e+06 -1.0745267129090892e+07 3.3270595543737174e+05 +3.5620592090345335e-02 -9.4441743065421993e+04 4.2433307169571606e+04 2.7716150061407679e+05 5.8116829592637438e+05 8.7704722702013247e+05 1.0484570489746392e+06 1.0430551146061618e+06 9.4673484780572122e+05 8.4740986280891614e+05 7.6271718530819775e+05 6.8194805015265534e+05 6.0358951005400228e+05 5.2978252616500494e+05 4.6125379979452671e+05 3.9778728923218529e+05 3.3975991958966519e+05 2.8743074168218562e+05 2.4043826184248619e+05 1.9826653495666065e+05 1.6042725239901748e+05 1.2649359855110235e+05 9.6398584246144921e+04 7.2834305722148129e+04 6.1362154670406569e+04 5.1860006653096105e+04 3.3974199125497500e+04 1.3682669718010424e+04 -5.2003599005653368e+03 -2.2247225751296635e+04 -3.7613418755303850e+04 -5.1490728923121838e+04 -6.4059399249007525e+04 -7.5486640380378914e+04 -8.5928529066009403e+04 -9.5532130487223694e+04 -1.0443759773351238e+05 -1.1278026608679445e+05 -1.2069275540899881e+05 -1.2830714765868170e+05 -1.3575725083892207e+05 -1.4373695043144669e+05 -1.5186662274385281e+05 -1.6034016123575676e+05 -1.6937042821256956e+05 -1.7919576937167236e+05 -1.9008829817962597e+05 -2.0236474073747476e+05 -2.1640097868878618e+05 -2.3265222808165266e+05 -2.5167988880402080e+05 -2.7419620528819592e+05 -3.0110886175851186e+05 -3.3360197727020347e+05 -3.7328122949725954e+05 -4.2232022462377942e+05 -4.8374787256551813e+05 -5.6183842286035488e+05 -6.6271694344200613e+05 -7.9519880006415572e+05 -9.7181948355534847e+05 -1.2097659878739330e+06 -1.5308760162851331e+06 -1.9595482063209100e+06 -2.5175527104996322e+06 -3.2162791423233780e+06 -4.0489434456792371e+06 -4.9864474107008129e+06 -5.9796388391024675e+06 -6.9671859139508540e+06 -7.8874237883792846e+06 -8.6894573098163325e+06 -9.3407749592181258e+06 -9.8306477597791851e+06 -1.0169024103939831e+07 -1.0379984131261054e+07 -1.0495491668802425e+07 -1.0547354239288401e+07 -1.0561986499786684e+07 -1.0557742419809924e+07 -1.0549259711619256e+07 -1.0538636077949384e+07 -1.0526902325388443e+07 -1.0514260971465951e+07 -1.0501106308471078e+07 -1.0487234857906358e+07 -1.0472649285668265e+07 -1.0456765022252522e+07 -1.0439763351382632e+07 -1.0421331193826329e+07 -1.0401223895168791e+07 -1.0379144141039902e+07 -1.0354756987691570e+07 -1.0327678900459897e+07 -1.0297484572662130e+07 -1.0263714135951512e+07 -1.0225848330357715e+07 -1.0183337293484109e+07 -1.0135589295207268e+07 -1.0081994068051584e+07 -1.0021939516834946e+07 -9.9548427899092752e+06 -9.8803332793913819e+06 -9.7977568321856856e+06 -9.7071203460605536e+06 -9.6086334740727413e+06 -9.5030687533608265e+06 -9.3917407561116684e+06 -9.2771518253404312e+06 -9.1631122140469011e+06 -9.0552969140763152e+06 -8.9619661006643828e+06 -8.8948753296015151e+06 -8.8708383527095001e+06 -8.9140024411326200e+06 -9.0597895918651205e+06 -9.3618607945785131e+06 -9.9052171447479371e+06 -1.0832294063292393e+07 3.3678272418154019e+05 +3.5840130284354905e-02 -9.6644006644859561e+04 4.0084592663249772e+04 2.7456289107004501e+05 5.7824473139093153e+05 8.7380516035694780e+05 1.0450281404791558e+06 1.0396287192519312e+06 9.4340915554493933e+05 8.4418876317181904e+05 7.5958553222278261e+05 6.7890216748953622e+05 6.0062724836723285e+05 5.2689930849283643e+05 4.5844416065937467e+05 3.9504590109621652e+05 3.3708095655959955e+05 2.8480801656088996e+05 2.3786591051269800e+05 1.9573918741086763e+05 1.5794000457395954e+05 1.2404194621266623e+05 9.3978063860673094e+04 7.0437789394151929e+04 5.8977056353983397e+04 4.9483614898813423e+04 3.1613789375534743e+04 1.1339504956005860e+04 -7.5288780967451830e+03 -2.4564253769216404e+04 -3.9922128261250160e+04 -5.3794304913220061e+04 -6.6361090052842934e+04 -7.7789815267386526e+04 -8.8236741208600914e+04 -9.7849186375567588e+04 -1.0676763415505315e+05 -1.1512783669803770e+05 -1.2306292870612239e+05 -1.3070561910787648e+05 -1.3819047165094074e+05 -1.4621573683925217e+05 -1.5440082109072004e+05 -1.6294124796818951e+05 -1.7205184879665388e+05 -1.8197335426439974e+05 -1.9298078090622535e+05 -2.0539441327667431e+05 -2.1959453390675681e+05 -2.3604186414134060e+05 -2.5530476083223641e+05 -2.7810445826925151e+05 -3.0536024370908260e+05 -3.3827149862451432e+05 -3.7846467595996847e+05 -4.2814151138721302e+05 -4.9036996681737859e+05 -5.6947883275975345e+05 -6.7166974308854819e+05 -8.0586410782697389e+05 -9.8473832739695837e+05 -1.2256515655989433e+06 -1.5506209916817979e+06 -1.9841811662676742e+06 -2.5481252320616306e+06 -3.2536962458023699e+06 -4.0937867824437632e+06 -5.0388554127767291e+06 -6.0392875756364586e+06 -7.0333628792974679e+06 -7.9591631567681869e+06 -8.7656837836294789e+06 -9.4204211595480200e+06 -9.9127402931740750e+06 -1.0252739760613251e+07 -1.0464672190624222e+07 -1.0580682449917983e+07 -1.0632740270515425e+07 -1.0647389425628103e+07 -1.0643071853365967e+07 -1.0634510109288210e+07 -1.0623796450167490e+07 -1.0611966400247524e+07 -1.0599222435669217e+07 -1.0585961351416262e+07 -1.0571977790726556e+07 -1.0557274331091944e+07 -1.0541261713873306e+07 -1.0524122660662124e+07 -1.0505541561496804e+07 -1.0485271785006471e+07 -1.0463013614369595e+07 -1.0438429399196237e+07 -1.0411132512541262e+07 -1.0380694174516309e+07 -1.0346650853099355e+07 -1.0308479069702156e+07 -1.0265624518607058e+07 -1.0217490688263590e+07 -1.0163462379963780e+07 -1.0102922552367603e+07 -1.0035283650777493e+07 -9.9601720375507195e+06 -9.8769283240930606e+06 -9.7855594421289843e+06 -9.6862767387618478e+06 -9.5798589938557483e+06 -9.4676314021868519e+06 -9.3521165270517152e+06 -9.2371554167299829e+06 -9.1284688878717069e+06 -9.0343839090645369e+06 -8.9667510073920395e+06 -8.9425198052006625e+06 -8.9860326856228318e+06 -9.1329978753719814e+06 -9.4375099798641410e+06 -9.9852569595301729e+06 -1.0919825041550463e+07 3.4090921513098828e+05 +3.6061021544548967e-02 -9.8872345303009439e+04 3.7710003668457917e+04 2.7193874094410741e+05 5.7529606602348119e+05 8.7053838273628207e+05 1.0415747341455133e+06 1.0361777804334492e+06 9.4005874470252206e+05 8.4094277320975903e+05 7.5642883433272073e+05 6.7583109617986728e+05 5.9763966000789090e+05 5.2399063568909199e+05 4.5560894817729638e+05 3.9227883120212064e+05 3.3437621285511740e+05 2.8215942091709143e+05 2.3526760667009835e+05 1.9318581188250441e+05 1.5542665835794967e+05 1.2156412885704897e+05 9.1531314388340965e+04 6.8014982151647084e+04 5.6565606221436217e+04 4.7080802591955267e+04 2.9226879325298141e+04 8.9697531059431640e+03 -9.8840769761379015e+03 -2.6908064961952543e+04 -4.2257734972784740e+04 -5.6124906665060626e+04 -6.8689953077080660e+04 -8.0120330574106789e+04 -9.0572488099742564e+04 -1.0019400251273498e+05 -1.0912569330772181e+05 -1.1750373621905889e+05 -1.2546178856515972e+05 -1.3313319527578901e+05 -1.4065328634688866e+05 -1.4872473590731906e+05 -1.5696596490755759e+05 -1.6557414824081832e+05 -1.7476611156595993e+05 -1.8478500092893105e+05 -1.9590877261945343e+05 -2.0846131435125257e+05 -2.2282736457850580e+05 -2.3947321852615228e+05 -2.5897427639487118e+05 -2.8206087359773222e+05 -3.0966404352940072e+05 -3.4299861746658606e+05 -3.8371207711475145e+05 -4.3403462751565693e+05 -4.9707374711221404e+05 -5.7721339891261968e+05 -6.8073262811219005e+05 -8.1665996361782053e+05 -9.9781393397785781e+05 -1.2417269517595835e+06 -1.5705960484792038e+06 -2.0090907638226636e+06 -2.5790245518752355e+06 -3.2914897949690693e+06 -4.1390511798871262e+06 -5.0917204580103764e+06 -6.0994189867291627e+06 -7.1000381100639608e+06 -8.0314082064402821e+06 -8.8424177506898958e+06 -9.5005735287435167e+06 -9.9953364382831939e+06 -1.0336956403970605e+07 -1.0549859041521775e+07 -1.0666370361536583e+07 -1.0718622194021167e+07 -1.0733287270554263e+07 -1.0728895366589217e+07 -1.0720254018374057e+07 -1.0709449768587912e+07 -1.0697522848272078e+07 -1.0684675674261913e+07 -1.0671307551467068e+07 -1.0657211231577922e+07 -1.0642389201769134e+07 -1.0626247487824079e+07 -1.0608970257091336e+07 -1.0590239354238633e+07 -1.0569806159487011e+07 -1.0547368539662389e+07 -1.0522586122039499e+07 -1.0495069169651888e+07 -1.0464385408639144e+07 -1.0430067623003501e+07 -1.0391588090779858e+07 -1.0348388037142839e+07 -1.0299866141475707e+07 -1.0245402245280178e+07 -1.0184374332432769e+07 -1.0116190118089974e+07 -1.0040472916692227e+07 -9.9565580747219957e+06 -9.8644525576808807e+06 -9.7643694165171720e+06 -9.6570937099635806e+06 -9.5439613168661762e+06 -9.4275151378486771e+06 -9.3116271948186290e+06 -9.2020643939259462e+06 -9.1072208844937608e+06 -9.0390427142860331e+06 -9.0146161627096627e+06 -9.0584798540321868e+06 -9.2066299014520515e+06 -9.5135970360449068e+06 -1.0065760059192050e+07 -1.1007862663585311e+07 3.4508603040235804e+05 +3.6283274210196718e-02 -1.0112708227075651e+05 3.5309215690366254e+04 2.6928872846300865e+05 5.7232196299650613e+05 8.6724659145243058e+05 1.0380965021353859e+06 1.0327019719119087e+06 9.3668329389913531e+05 8.3767156663044565e+05 7.5324676835810323e+05 6.7273451279193407e+05 5.9462642204765067e+05 5.2105618535567546e+05 4.5274784021690150e+05 3.8948575765509275e+05 3.3164536665850342e+05 2.7948463301723200e+05 2.3264302858983329e+05 1.9060608659990199e+05 1.5288689186652025e+05 1.1905982440884721e+05 8.9058013497002175e+04 6.5565561375057718e+04 5.4127481418457617e+04 4.4651246592088544e+04 2.6813145325222697e+04 6.5730898169959637e+03 -1.2266281754196432e+04 -2.9278985583639253e+04 -4.4620566380036566e+04 -5.8482863130633770e+04 -7.1046318995262860e+04 -8.2478518995976090e+04 -9.2936104805229304e+04 -1.0256691674019406e+05 -1.1151211628014094e+05 -1.1990830953511219e+05 -1.2788968430946465e+05 -1.3559023067203638e+05 -1.4314605549715119e+05 -1.5126431586075577e+05 -1.5956243146984669e+05 -1.6823925003162280e+05 -1.7751361716100469e+05 -1.8763112499697160e+05 -1.9887270671623890e+05 -2.1156589844229177e+05 -2.2609995025626599e+05 -2.4294680068045217e+05 -2.6268898069513455e+05 -2.8606603944974375e+05 -3.1402090130602615e+05 -3.4778403697672149e+05 -3.8902421342481364e+05 -4.4000044890837208e+05 -5.0386020818694466e+05 -5.8504326503357315e+05 -6.8990692944468034e+05 -8.2758793208648032e+05 -1.0110481533639901e+06 -1.2579943300538557e+06 -1.5908037337290384e+06 -2.0342799034712501e+06 -2.6102538799243635e+06 -3.3296632120122504e+06 -4.1847401578281601e+06 -5.1450460542630097e+06 -6.1600364849344874e+06 -7.1672148752618050e+06 -8.1041620474930471e+06 -8.9196621708818898e+06 -9.5812348991612215e+06 -1.0078438928358823e+07 -1.0421676696172874e+07 -1.0635547298919026e+07 -1.0752557989605308e+07 -1.0805002578885367e+07 -1.0819682593911111e+07 -1.0815215512665862e+07 -1.0806493988642650e+07 -1.0795598579864811e+07 -1.0783574213108504e+07 -1.0770623227750970e+07 -1.0757147445935585e+07 -1.0742937714430410e+07 -1.0727996428123552e+07 -1.0711724870688921e+07 -1.0694308663164420e+07 -1.0675427090097679e+07 -1.0654829531783383e+07 -1.0632211424751062e+07 -1.0607229658173239e+07 -1.0579491367187720e+07 -1.0548560763147905e+07 -1.0513966925652597e+07 -1.0475177864385951e+07 -1.0431630309618354e+07 -1.0382718103824280e+07 -1.0327816100027474e+07 -1.0266297278556172e+07 -1.0197564597150231e+07 -1.0121238304123459e+07 -1.0036648451427314e+07 -9.9438020381722450e+06 -9.8429138290000390e+06 -9.7347751978354380e+06 -9.6207327694043256e+06 -9.5033498993023746e+06 -9.3865297623171881e+06 -9.2760856201737933e+06 -9.1804791923636850e+06 -9.1117525994837359e+06 -9.0871295686432663e+06 -9.1313461001801696e+06 -9.2806878591448646e+06 -9.5901242251592167e+06 -1.0146728837071570e+07 -1.1096409546717482e+07 3.4931377932311513e+05 +3.6506896671964259e-02 -1.0340854652424849e+05 3.2881900772629167e+04 2.6661252772203088e+05 5.6932209258661536e+05 8.6392942231663910e+05 1.0345931258711870e+06 1.0292009692855957e+06 9.3328247101435391e+05 8.3437481538895657e+05 7.5003900740211422e+05 6.6961209004666377e+05 5.9158720768515812e+05 5.1809563112919067e+05 4.4986051061893062e+05 3.8666635450862412e+05 3.2888809210076783e+05 2.7678332706734439e+05 2.2999185049102915e+05 1.8799968573004330e+05 1.5032037915257906e+05 1.1652870672741719e+05 8.6557834786736610e+04 6.3089200372618550e+04 5.1662355011382380e+04 4.2194619669844513e+04 2.4372259628169864e+04 4.1491866323117411e+03 -1.4675821762183972e+04 -3.1677346015850806e+04 -4.7010954114426277e+04 -6.0868507419042624e+04 -7.3430522657365495e+04 -8.4864717428061354e+04 -9.5327930617624777e+04 -1.0496827115787622e+05 -1.1392724845759907e+05 -1.2234190587289768e+05 -1.3034696965649629e+05 -1.3807708426275401e+05 -1.4566914420110226e+05 -1.5383484954695046e+05 -1.6219060278552989e+05 -1.7093694618210010e+05 -1.8029477124058770e+05 -1.9051214730246153e+05 -2.0187302201515122e+05 -2.1470862571302566e+05 -2.2941277648368018e+05 -2.4646312640851713e+05 -2.6644942573786905e+05 -2.9012055133278831e+05 -3.1843146509613411e+05 -3.5262846907895873e+05 -3.9440187504151225e+05 -4.4603986230876157e+05 -5.1073035704551876e+05 -5.9296958885556739e+05 -6.9919399416551087e+05 -8.3864959654456098e+05 -1.0244428571035413e+06 -1.2744559085165183e+06 -1.6112466212793854e+06 -2.0597515180829852e+06 -2.6418164549530772e+06 -3.3682199470621217e+06 -4.2308572622519694e+06 -5.1988357334379014e+06 -6.2211435048069004e+06 -7.2348964642548766e+06 -8.1774278091140538e+06 -8.9974200224149544e+06 -9.6624081210439801e+06 -1.0162050514220860e+07 -1.0506903316836566e+07 -1.0721739595157461e+07 -1.0839247937381038e+07 -1.0891884011452306e+07 -1.0906577972252190e+07 -1.0902034861966301e+07 -1.0893232587022832e+07 -1.0882245447792538e+07 -1.0870123055495406e+07 -1.0857067653757149e+07 -1.0843483589231409e+07 -1.0829159790297654e+07 -1.0814098557635706e+07 -1.0797696406093070e+07 -1.0780140418359173e+07 -1.0761107304050762e+07 -1.0740344432001455e+07 -1.0717544794356896e+07 -1.0692362526397336e+07 -1.0664401617380403e+07 -1.0633222742897838e+07 -1.0598351257670235e+07 -1.0559250877955634e+07 -1.0515353813124435e+07 -1.0466049040792689e+07 -1.0410706396656454e+07 -1.0348693828571765e+07 -1.0279409509490369e+07 -1.0202470603232041e+07 -1.0117201837517541e+07 -1.0023610244857121e+07 -9.9219123135090265e+06 -9.8129057691008057e+06 -9.6979480443445221e+06 -9.5796230680658482e+06 -9.4618653481733706e+06 -9.3505347693353407e+06 -9.2541610126615409e+06 -9.1848828266543262e+06 -9.1600621808155999e+06 -9.2046335924055055e+06 -9.3551739522508979e+06 -9.6670938244748022e+06 -1.0228165702596059e+07 -1.1185468325871738e+07 3.5359307851640158e+05 +3.6731897372231370e-02 -1.0571706841048061e+05 3.0427727536657665e+04 2.6390980256999115e+05 5.6629613087841612e+05 8.6058656963137956e+05 1.0310642665868741e+06 1.0256744271056430e+06 9.2985594546794181e+05 8.3105218770337326e+05 7.4680521961186593e+05 6.6646349678415887e+05 5.8852168614504195e+05 5.1510864252261206e+05 4.4694662912387867e+05 3.8382029169179307e+05 3.2610405921535543e+05 2.7405517316601280e+05 2.2731374249046802e+05 1.8536627932971137e+05 1.4772679015813678e+05 1.1397044555790743e+05 8.4030447741211159e+04 6.0585568331899594e+04 4.9169895937853733e+04 3.9710590457998354e+04 2.1903890340673963e+04 1.6977109399487820e+03 -1.7113030496425679e+04 -3.4103480816924835e+04 -4.9429233997957686e+04 -6.3282176846858791e+04 -7.5842903140243652e+04 -8.7279267015217047e+04 -9.7748309107014487e+04 -1.0739841217614508e+05 -1.1637143957347398e+05 -1.2480487885307551e+05 -1.3283400277105457e+05 -1.4059411952416674e+05 -1.4822292214263731e+05 -1.5643671449102901e+05 -1.6485086565176604e+05 -1.7366763445557037e+05 -1.8310998454320940e+05 -1.9342849394551807e+05 -2.0491016282241052e+05 -2.1788996207624587e+05 -2.3276633486840044e+05 -2.5002271795164316e+05 -2.7025617041149427e+05 -2.9422501217404194e+05 -3.2289639102274034e+05 -3.5753263454716414e+05 -3.9984586192086549e+05 -4.5215376543534553e+05 -5.1768521310769150e+05 -6.0099354229778354e+05 -7.0859518569420511e+05 -8.4984655919153942e+05 -1.0379999384611762e+06 -1.2911139197581871e+06 -1.6319273120132943e+06 -2.0855085691364873e+06 -2.6737155446642912e+06 -3.4071634783198126e+06 -4.2774060654579764e+06 -5.2530930515660821e+06 -6.2827435029713167e+06 -7.3030861867347350e+06 -8.2512086396655887e+06 -9.0756943018840849e+06 -9.7440960625117943e+06 -1.0246173964355128e+07 -1.0592638963043129e+07 -1.0808438579951227e+07 -1.0926442825445209e+07 -1.0979269095345547e+07 -1.0993975999403972e+07 -1.0989356002102060e+07 -1.0980472397670304e+07 -1.0969392953373086e+07 -1.0957171953362502e+07 -1.0944011527052451e+07 -1.0930318552878018e+07 -1.0915880027336707e+07 -1.0900698154862054e+07 -1.0884164654695213e+07 -1.0866468079170505e+07 -1.0847282548095694e+07 -1.0826353407213740e+07 -1.0803371190154487e+07 -1.0777987262392370e+07 -1.0749802449282859e+07 -1.0718373869555557e+07 -1.0683223132441226e+07 -1.0643809635605341e+07 -1.0599561041377885e+07 -1.0549861434400212e+07 -1.0494075604056794e+07 -1.0431566436666327e+07 -1.0361727292867308e+07 -1.0284172233523430e+07 -1.0198220632276982e+07 -1.0103879554821853e+07 -1.0001367223020731e+07 -9.8914877508736067e+06 -9.7756094415457360e+06 -9.6563369159444347e+06 -9.5376361962435059e+06 -9.4254140588654503e+06 -9.3282685399971455e+06 -9.2584355739813317e+06 -9.2334161715352740e+06 -9.2783445135713033e+06 -9.4300903993280176e+06 -9.7445081265389789e+06 -1.0310073081386393e+07 -1.1275041653675113e+07 3.5792455198684492e+05 +3.6958284805410233e-02 -1.0805298492933436e+05 2.7946359456526578e+04 2.6118021647229302e+05 5.6324373351931036e+05 8.5721766408159072e+05 1.0275095743770006e+06 1.0221220196380581e+06 9.2640337934792263e+05 8.2770334767628938e+05 7.4354506793150282e+05 6.6328839754048432e+05 5.8542952235167543e+05 5.1209488477998646e+05 4.4400586130462680e+05 3.8094723494751536e+05 3.2329293388702424e+05 2.7129983726204222e+05 2.2460837055512404e+05 1.8270553329890189e+05 1.4510579066291539e+05 1.1138470648193271e+05 8.1475517678247139e+04 5.8054330269985963e+04 4.6649768957679102e+04 3.7198823401782043e+04 1.9407701373156506e+04 -7.8167407690265190e+02 -1.9578245668252177e+04 -3.6557728772074901e+04 -5.1875746093699920e+04 -6.5724212988133891e+04 -7.8283803798350680e+04 -8.9722513203458366e+04 -1.0019758817228835e+05 -1.0985769056679285e+05 -1.1884504376220018e+05 -1.2729758654266498e+05 -1.3535114631854318e+05 -1.4314170449684787e+05 -1.5080776364474624e+05 -1.5907029295294048e+05 -1.6754361171352575e+05 -1.7643171759714393e+05 -1.8595967294781664e+05 -1.9638059635607421e+05 -2.0798457899860584e+05 -2.2111037926637960e+05 -2.3616112315542859e+05 -2.5362610406778727e+05 -2.7410978057262383e+05 -2.9838003241185355e+05 -3.2741634337470232e+05 -3.6249726311275980e+05 -4.0535698394185194e+05 -4.5834306711522921e+05 -5.2472580835856812e+05 -6.0911631163435639e+05 -7.1811188397785276e+05 -8.6118044131715782e+05 -1.0517213126467403e+06 -1.3079706212171651e+06 -1.6528484341081784e+06 -2.1115540469574505e+06 -2.7059544459275780e+06 -3.4464973122392436e+06 -4.3243901661820449e+06 -5.3078215889458768e+06 -6.3448399581900211e+06 -7.3717873728826353e+06 -8.3255077067237087e+06 -9.1544880242830105e+06 -9.8263016096350811e+06 -1.0330812064896645e+07 -1.0678886349405423e+07 -1.0895646920465091e+07 -1.1014145291748106e+07 -1.1067160451525772e+07 -1.1081879286483835e+07 -1.1077181537962051e+07 -1.1068216021981431e+07 -1.1057043694825763e+07 -1.1044723501846287e+07 -1.1031457439592663e+07 -1.1017654925586879e+07 -1.1003101010815095e+07 -1.0987797801472409e+07 -1.0971132194262700e+07 -1.0953294219173573e+07 -1.0933955391262420e+07 -1.0912859021472234e+07 -1.0889693170769827e+07 -1.0864106418777222e+07 -1.0835696408834344e+07 -1.0804016681600424e+07 -1.0768585080146911e+07 -1.0728856658166461e+07 -1.0684254504727177e+07 -1.0634157783220336e+07 -1.0577926207608316e+07 -1.0514917573405860e+07 -1.0444520401299767e+07 -1.0366345630658725e+07 -1.0279707250988504e+07 -1.0184612361035148e+07 -1.0081280926204761e+07 -9.9705234858001750e+06 -9.8537192762097511e+06 -9.7334937299030945e+06 -9.6138445653920341e+06 -9.5007257210299838e+06 -9.4028039836378600e+06 -9.3324130341907740e+06 -9.3071937275985535e+06 -9.3524810611241590e+06 -9.5054394337655958e+06 -9.8223694391841069e+06 -1.0392453415227199e+07 -1.1365132200441491e+07 3.6230883120736375e+05 +3.7186067518266100e-02 -1.1041663541059000e+05 2.5437456401065396e+04 2.5842343044312941e+05 5.6016455167486006e+05 8.5382240154984174e+05 1.0239287214734909e+06 1.0185434040286203e+06 9.2292442950719921e+05 8.2432795335196983e+05 7.4025821155457781e+05 6.6008645224445302e+05 5.8231037675981806e+05 5.0905401885468001e+05 4.4103786851503409e+05 3.7804684578389896e+05 3.2045437779605360e+05 2.6851698111076769e+05 2.2187539645240709e+05 1.8001710933075182e+05 1.4245704223494485e+05 1.0877115086756249e+05 7.8892705699766622e+04 5.5495146983384628e+04 4.4101634602537866e+04 3.4658978708767987e+04 1.6883352389750518e+04 -3.2893094902875050e+03 -2.2071809254424363e+04 -3.9040432944018678e+04 -5.4350834756517543e+04 -6.8194961726091060e+04 -8.0753572315020778e+04 -9.2194805791706094e+04 -1.0267612009347107e+05 -1.1234646151639317e+05 -1.2134841961209393e+05 -1.2982039150933421e+05 -1.3789876751986609e+05 -1.4572021184122562e+05 -1.5342404772618311e+05 -1.6173597198435030e+05 -1.7026923752219576e+05 -1.7922960339424299e+05 -1.8884425753708495e+05 -1.9936889135886112e+05 -2.1109672602521398e+05 -2.2437035490856142e+05 -2.3959764530243276e+05 -2.5727382010878724e+05 -2.7801082913102634e+05 -3.0258623008564813e+05 -3.3199199470341054e+05 -3.6752309357324557e+05 -4.1093606102866417e+05 -4.6460868741624645e+05 -5.3185318749857158e+05 -6.1733909766425577e+05 -7.2774548568712582e+05 -8.7265288352490671e+05 -1.0656089170637089e+06 -1.3250282954080005e+06 -1.6740126432776391e+06 -2.1378909709519674e+06 -2.7385364849864896e+06 -3.4862249836902916e+06 -4.3718131897383742e+06 -5.3630249502220834e+06 -6.4074363714709822e+06 -7.4410033733452698e+06 -8.4003281971257050e+06 -9.2338042230895702e+06 -9.9090276664741747e+06 -1.0415967619724784e+07 -1.0765648208091224e+07 -1.0983367301322274e+07 -1.1102357991649134e+07 -1.1155560718315465e+07 -1.1170290461941592e+07 -1.1165514091718743e+07 -1.1156466078635000e+07 -1.1145200287641754e+07 -1.1132780313323250e+07 -1.1119408000560002e+07 -1.1105495313247649e+07 -1.1090825343186880e+07 -1.1075400096295375e+07 -1.1058601619673787e+07 -1.1040621429035034e+07 -1.1021128419640005e+07 -1.0999863855897270e+07 -1.0976513311816646e+07 -1.0950722565130813e+07 -1.0922086058897452e+07 -1.0890153734401910e+07 -1.0854439647758283e+07 -1.0814394483236615e+07 -1.0769436730203575e+07 -1.0718940602449520e+07 -1.0662260709181981e+07 -1.0598749725776592e+07 -1.0527791305134760e+07 -1.0448993246471744e+07 -1.0361664125020694e+07 -1.0265811072330285e+07 -1.0161655807471933e+07 -1.0050015332111942e+07 -9.9322798789376449e+06 -9.8110958120868169e+06 -9.6904927294729203e+06 -9.5764720029352605e+06 -9.4777695675262809e+06 -9.4068174145660195e+06 -9.3813970503298398e+06 -9.4270454470988195e+06 -9.5812233037802354e+06 -9.9006800855866671e+06 -1.0475309162137229e+07 -1.1455742654225351e+07 3.6674655520694959e+05 +3.7415254110239979e-02 -1.1280836286826020e+05 2.2900674574232653e+04 2.5563909938245537e+05 5.5705825795081037e+05 8.5040040748406586e+05 1.0203213481214248e+06 1.0149382320828449e+06 9.1941874737598200e+05 8.2092565904159029e+05 7.3694430651920103e+05 6.5685731662273698e+05 5.7916390559991426e+05 5.0598570145518432e+05 4.3804230784417264e+05 3.7511878143774479e+05 3.1758804836853803e+05 2.6570626222594752e+05 2.1911447769762680e+05 1.7730066486182882e+05 1.3978020217930342e+05 1.0612943581900446e+05 7.6281668641504235e+04 5.2907674997475871e+04 4.1525149125108757e+04 3.2090712298016366e+04 1.4330498757362460e+04 -5.8255406784991774e+03 -2.4594067548373521e+04 -4.1551940724521381e+04 -5.6854848684697274e+04 -7.0694773304348215e+04 -8.3252560754697915e+04 -9.4696498983935002e+04 -1.0518426158435254e+05 -1.1486508467910223e+05 -1.2388193021895640e+05 -1.3237366087566240e+05 -1.4047723820599823e+05 -1.4833001889334127e+05 -1.5607215815831875e+05 -1.6443414348714266e+05 -1.7302814459479129e+05 -1.8206170473736097e+05 -1.9176416465988723e+05 -2.0239382123808836e+05 -2.1424706507395298e+05 -2.2767037259123710e+05 -2.4307641155410733e+05 -2.6096640810251923e+05 -2.8195989613346028e+05 -3.0684423092964076e+05 -3.3662402592573990e+05 -3.7261087390251370e+05 -4.1658392327029066e+05 -4.7095155778493255e+05 -5.3906840809622011e+05 -6.2566311588585516e+05 -7.3749740441207530e+05 -8.8426554594529490e+05 -1.0796647115371246e+06 -1.3422892501783741e+06 -1.6954226230288993e+06 -2.1645223898399062e+06 -2.7714650176595533e+06 -3.5263500561364722e+06 -4.4196787881440185e+06 -5.4187067644927241e+06 -6.4705362661329731e+06 -7.5107375593651962e+06 -8.4756733170402180e+06 -9.3136459502903540e+06 -9.9922771551380027e+06 -1.0501643450441541e+07 -1.0852927288878862e+07 -1.1071602424630120e+07 -1.1191083597944373e+07 -1.1244472551443508e+07 -1.1259212171594188e+07 -1.1254356302883014e+07 -1.1245225203617208e+07 -1.1233865364591829e+07 -1.1221345017451657e+07 -1.1207865836381750e+07 -1.1193842338996902e+07 -1.1179055644122763e+07 -1.1163507655345883e+07 -1.1146575542963410e+07 -1.1128452316556608e+07 -1.1108804236422773e+07 -1.1087370508659799e+07 -1.1063834205969395e+07 -1.1037838288026594e+07 -1.1008973979281954e+07 -1.0976787600213425e+07 -1.0940789399103364e+07 -1.0900425665171342e+07 -1.0855110261551280e+07 -1.0804212423894886e+07 -1.0747081627215493e+07 -1.0683065397208143e+07 -1.0611542491038695e+07 -1.0532117549001740e+07 -1.0444093701774660e+07 -1.0347478113500349e+07 -1.0242494267014146e+07 -1.0129965663616648e+07 -1.0011293595724724e+07 -9.8891454798939917e+06 -9.7675829773798510e+06 -9.6526551665321980e+06 -9.5531675302953850e+06 -9.4816509370063413e+06 -9.4560283556219358e+06 -9.5020398981640246e+06 -9.6574442724433169e+06 -9.9794424043044206e+06 -1.0558642796389146e+07 -1.1546875720870676e+07 3.7123837065946695e+05 +3.7645853233773285e-02 -1.1522851704999615e+05 2.0335664387545905e+04 2.5282687333522292e+05 5.5392448679000174e+05 8.4695134200049785e+05 1.0166871158200244e+06 1.0113061464053914e+06 9.1588598776776053e+05 8.1749611557643674e+05 7.3360300435912341e+05 6.5360064272409282e+05 5.7598976112748857e+05 5.0288958506403590e+05 4.3501883207118191e+05 3.7216269484287797e+05 3.1469359872929828e+05 2.6286733382587164e+05 2.1632526749771836e+05 1.7455585302086163e+05 1.3707492348682857e+05 1.0345921412523396e+05 7.3642059020848508e+04 5.0291566515122657e+04 3.8919964447826780e+04 2.9493675748687987e+04 1.1748791494157305e+04 -8.3907173777430307e+03 -2.7145371211946629e+04 -4.4092603886008685e+04 -5.9388140972189911e+04 -7.3224002379545418e+04 -8.5781125615535566e+04 -9.7227951442442092e+04 -1.0772237384595138e+05 -1.1741392423038025e+05 -1.2644594324091398e+05 -1.3495776637355433e+05 -1.4308693487411286e+05 -1.5097150772176238e+05 -1.5875248352208469e+05 -1.6716520427180856e+05 -1.7582073947452215e+05 -1.8492843968225498e+05 -1.9471982599561499e+05 -2.0545583380526473e+05 -2.1743606307536509e+05 -2.3101092193804865e+05 -2.4659793852049368e+05 -2.6470441683255730e+05 -2.8595756885275745e+05 -3.1115466846522485e+05 -3.4131312642432516e+05 -3.7776136136207887e+05 -4.2230141104473453e+05 -4.7737262118389580e+05 -5.4637254074338602e+05 -6.3408959666973038e+05 -7.4736907085607015e+05 -8.9602010846386151e+05 -1.0938906785651750e+06 -1.3597558189579949e+06 -1.7170810849080221e+06 -2.1914513818947449e+06 -2.8047434295429885e+06 -3.5668761218011235e+06 -4.4679906402571378e+06 -5.4748706854214892e+06 -6.5341431878857603e+06 -7.5809933228157992e+06 -8.5515462920035943e+06 -9.3940162764398679e+06 -1.0076053015790386e+07 -1.0587842396471586e+07 -1.0940726359168215e+07 -1.1160355010069450e+07 -1.1280324800919713e+07 -1.1333898624051474e+07 -1.1348647078655954e+07 -1.1343710828339936e+07 -1.1334496050284177e+07 -1.1323041575804917e+07 -1.1310420261196343e+07 -1.1296833590795247e+07 -1.1282698643241074e+07 -1.1267794550531477e+07 -1.1252123111871822e+07 -1.1235056593419416e+07 -1.1216789506711358e+07 -1.1196985461954020e+07 -1.1175381595042903e+07 -1.1151658462947601e+07 -1.1125456191049559e+07 -1.1096362766783966e+07 -1.1063920868223382e+07 -1.1027636914884226e+07 -1.0986952775135893e+07 -1.0941277659274090e+07 -1.0889975796056563e+07 -1.0832391496731916e+07 -1.0767867107607676e+07 -1.0695776462060036e+07 -1.0615721022565607e+07 -1.0526998444803160e+07 -1.0429615925300388e+07 -1.0323798720819185e+07 -1.0210376869748259e+07 -1.0090762788034955e+07 -9.9676450659564473e+06 -9.8451176130966935e+06 -9.7292774886805099e+06 -9.6290001253363155e+06 -9.5569158380207345e+06 -9.5310898739555459e+06 -9.5774666556644123e+06 -9.7341046177645158e+06 -1.0058658749257414e+07 -1.0642456808537601e+07 -1.1638534124014195e+07 3.7578493197344156e+05 +3.7877873594634494e-02 -1.1767744835968624e+05 1.7742073621146999e+04 2.4998639819239281e+05 5.5076288537880383e+05 8.4347484549818584e+05 1.0130256593718455e+06 1.0076468015469487e+06 9.1232580084891163e+05 8.1403897025438305e+05 7.3023395260048425e+05 6.5031607822281495e+05 5.7278759147246019e+05 4.9976531787249178e+05 4.3196708961967105e+05 3.6917823458945664e+05 3.1177067765772966e+05 2.5999984477319257e+05 2.1350741469827146e+05 1.7178232257516662e+05 1.3434085478268468e+05 1.0076013420807091e+05 7.0973524985788623e+04 4.7646469364418888e+04 3.6285728110652417e+04 2.6867516247775591e+04 9.1378772174071364e+03 -1.0985193734445484e+04 -2.9726075327953589e+04 -4.6662778634637209e+04 -6.1951069161310807e+04 -7.5783008074680401e+04 -8.8339627882805915e+04 -9.9789526341586068e+04 -1.1029082262076934e+05 -1.1999334892204998e+05 -1.2904083095266728e+05 -1.3757308440095247e+05 -1.4572823874362619e+05 -1.5364506518391598e+05 -1.6146541726694617e+05 -1.6992955611693166e+05 -1.7864743379128369e+05 -1.8783023151284945e+05 -1.9771167861870697e+05 -2.0855538246428259e+05 -2.2066419278945442e+05 -2.3439249868126959e+05 -2.5016274925230339e+05 -2.6848840192140947e+05 -2.9000444187474536e+05 -3.1551818409711501e+05 -3.4605999415094685e+05 -3.8297532261426462e+05 -4.2808937514472898e+05 -4.8387283223031793e+05 -5.5376666921224957e+05 -6.4261978543721058e+05 -7.5736193303945358e+05 -9.0791827093738841e+05 -1.1082888235562372e+06 -1.3774303610171149e+06 -1.7389907687688204e+06 -2.2186810551781175e+06 -2.8383751362329451e+06 -3.6078068018259876e+06 -4.5167524519119160e+06 -5.5315203913207818e+06 -6.5982607049112432e+06 -7.6517740762657803e+06 -8.6279503670017868e+06 -9.4749182907022238e+06 -1.0160358206729023e+07 -1.0674567315063387e+07 -1.1029048204035262e+07 -1.1249627794871759e+07 -1.1370084308373634e+07 -1.1423841626789672e+07 -1.1438597863781020e+07 -1.1433580342384860e+07 -1.1424281289361745e+07 -1.1412731588754093e+07 -1.1400008708865868e+07 -1.1386313924851246e+07 -1.1372066883678727e+07 -1.1357044716621939e+07 -1.1341249116355198e+07 -1.1324047417469690e+07 -1.1305635641664252e+07 -1.1285674733738104e+07 -1.1263899747469177e+07 -1.1239988709592568e+07 -1.1213578894876139e+07 -1.1184255035208402e+07 -1.1151556144604288e+07 -1.1114984792709889e+07 -1.1073978401182353e+07 -1.1027941500644119e+07 -1.0976233284118481e+07 -1.0918192869339367e+07 -1.0853157393409830e+07 -1.0780495737639476e+07 -1.0699806167742018e+07 -1.0610380833798338e+07 -1.0512226964474758e+07 -1.0405571600700308e+07 -1.0291251355638463e+07 -1.0170689832787685e+07 -1.0046596918200476e+07 -9.9230989556767363e+06 -9.8063412611509338e+06 -9.7052696208054330e+06 -9.6326143687887229e+06 -9.6065838504132219e+06 -9.6533279755969942e+06 -9.8112066326370165e+06 -1.0138331489820864e+07 -1.0726753705493579e+07 -1.1730720605183449e+07 3.8038690138290497e+05 +3.8111323952247797e-02 -1.2015551727228473e+05 1.5119544952305687e+04 2.4711731690286097e+05 5.4757310090345389e+05 8.3997055957435281e+05 1.0093366250557366e+06 1.0039598285509519e+06 9.0873782562097663e+05 8.1055386591514735e+05 7.2683679343027656e+05 6.4700326601591893e+05 5.6955704025651759e+05 4.9661254364101519e+05 4.2888672450894624e+05 3.6616504488078720e+05 3.0881892953666218e+05 2.5710343951105262e+05 2.1066056372683577e+05 1.6897971787747444e+05 1.3157764027439331e+05 9.8031840070088117e+04 6.8275710261223387e+04 4.4972026946282764e+04 3.3622083218431246e+04 2.4211876537510365e+04 6.4973980905673907e+03 -1.3609328358196835e+04 -3.2336539453101719e+04 -4.9262825663253301e+04 -6.4543995296378416e+04 -7.8372154032552557e+04 -9.0928433082925811e+04 -1.0238159142179653e+05 -1.1288997824720427e+05 -1.2260373213716688e+05 -1.3166697030242844e+05 -1.4021999607696643e+05 -1.4840153581367392e+05 -1.5635108298504181e+05 -1.6421135776938603e+05 -1.7272760582980880e+05 -1.8150864432402080e+05 -1.9076750880398144e+05 -2.0074016506430155e+05 -2.1169292628121894e+05 -2.2393193287556898e+05 -2.3781560473623654e+05 -2.5377137332084129e+05 -2.7231892591272469e+05 -2.9410111718632159e+05 -3.1993542720787419e+05 -3.5086533572990412e+05 -3.8825353383597621e+05 -4.3394867690125509e+05 -4.9045315733519307e+05 -5.6125189061202924e+05 -6.5125494283721969e+05 -7.6747745649809483e+05 -9.1996175342707080e+05 -1.1228611750791697e+06 -1.3953152617273943e+06 -1.7611544430153449e+06 -2.2462145477852537e+06 -2.8723635835193675e+06 -3.6491457464660206e+06 -4.5659679560383735e+06 -5.5886595852741366e+06 -6.6628924079339914e+06 -7.7230832530655498e+06 -8.7048888064961843e+06 -9.5563551008960325e+06 -1.0245195704393396e+07 -1.0761821081340581e+07 -1.1117895626279501e+07 -1.1339423533910254e+07 -1.1460364845644198e+07 -1.1514304267774900e+07 -1.1529067225086812e+07 -1.1523967536766160e+07 -1.1514583609015316e+07 -1.1502938088340046e+07 -1.1490113042164609e+07 -1.1476309516961917e+07 -1.1461949735373799e+07 -1.1446808813903663e+07 -1.1430888336591937e+07 -1.1413550678886240e+07 -1.1394993380840696e+07 -1.1374874706505463e+07 -1.1352927615537392e+07 -1.1328827589883719e+07 -1.1302209037265122e+07 -1.1272653415431809e+07 -1.1239696052521750e+07 -1.1202835647157615e+07 -1.1161505148237942e+07 -1.1115104379739927e+07 -1.1062987470011927e+07 -1.1004488313320020e+07 -1.0938938807584904e+07 -1.0865702853670001e+07 -1.0784375501430130e+07 -1.0694243364602927e+07 -1.0595313703796679e+07 -1.0487815354346210e+07 -1.0372591542058688e+07 -1.0251077122420037e+07 -1.0126003399871208e+07 -1.0001529339333609e+07 -9.8838487906774394e+06 -9.7819782996563800e+06 -9.7087487951676566e+06 -9.6825125447481144e+06 -9.7296261287153829e+06 -9.8887526249656491e+06 -1.0218463010812029e+07 -1.0811536010490034e+07 -1.1823437923752783e+07 3.8504494903924305e+05 +3.8346213120023807e-02 -1.2266308252791897e+05 1.2467716386110345e+04 2.4421926627845434e+05 5.4435476975797082e+05 8.3643812986314553e+05 1.0056196525085343e+06 1.0002448697490359e+06 9.0512169339112949e+05 8.0704043911354791e+05 7.2341116400656756e+05 6.4366184436534613e+05 5.6629774641578819e+05 4.9343090160667442e+05 4.2577737629133172e+05 3.6312276548556372e+05 3.0583799429246190e+05 2.5417775800298480e+05 2.0778435453821326e+05 1.6614767881092991e+05 1.2878491969869673e+05 9.5273971240954968e+04 6.5548254096065895e+04 4.2267878181009575e+04 3.0928668387484420e+04 2.1526394861838588e+04 3.8269917698210384e+03 -1.6263484375441014e+04 -3.4977127672012466e+04 -5.1893110205539058e+04 -6.7167285977849504e+04 -8.0991808470285207e+04 -9.3547911338390142e+04 -1.0500451904517300e+05 -1.1552021571559052e+05 -1.2524545194601564e+05 -1.3432474296727346e+05 -1.4289888730050920e+05 -1.5110721692081794e+05 -1.5908995773655133e+05 -1.6699070839311479e+05 -1.7555976530692558e+05 -1.8440479306268092e+05 -1.9374070548640692e+05 -2.0380573339428226e+05 -2.1486893005236288e+05 -2.2723976796509474e+05 -2.4128074827686488e+05 -2.5742434689632623e+05 -2.7619655835659348e+05 -2.9824820426775800e+05 -3.2440705525574210e+05 -3.5572986656522373e+05 -3.9359678083401360e+05 -4.3988018831481162e+05 -4.9711457484958367e+05 -5.6882931554975489e+05 -6.5999634492854704e+05 -7.7771712449078111e+05 -9.3215229641833331e+05 -1.1376097851111332e+06 -1.4134129328209660e+06 -1.7835749048726314e+06 -2.2740550280807381e+06 -2.9067122475975431e+06 -3.6908966352302232e+06 -4.6156409128225576e+06 -5.6462919952239497e+06 -6.7280419103292665e+06 -7.7949243073710026e+06 -8.7823648944746722e+06 -9.6383298335578330e+06 -1.0330568503451416e+07 -1.0849606588345073e+07 -1.1207271446418239e+07 -1.1429744999660622e+07 -1.1551169155662781e+07 -1.1605289272697190e+07 -1.1620057878225932e+07 -1.1614875120687967e+07 -1.1605405714862281e+07 -1.1593663776876863e+07 -1.1580735960202629e+07 -1.1566823062934907e+07 -1.1552349890730394e+07 -1.1537089531234687e+07 -1.1521043457700916e+07 -1.1503569058710951e+07 -1.1484865400921103e+07 -1.1464588052208358e+07 -1.1442467866044050e+07 -1.1418177764941895e+07 -1.1391349273098810e+07 -1.1361560555399898e+07 -1.1328343232180469e+07 -1.1291192109758541e+07 -1.1249535638119824e+07 -1.1202768907512616e+07 -1.1150240952423405e+07 -1.1091280413626105e+07 -1.1025213919694107e+07 -1.0951400362515224e+07 -1.0869431556869552e+07 -1.0778588549312077e+07 -1.0678878632099679e+07 -1.0570532445344919e+07 -1.0454399865532916e+07 -1.0331927064919623e+07 -1.0205866889561135e+07 -1.0080411113407925e+07 -9.9618023989643417e+06 -9.8591284596734457e+06 -9.7853213977465108e+06 -9.7588782313773669e+06 -9.8063634005128983e+06 -9.9667449175745100e+06 -1.0299055712554855e+07 -1.0896806263142226e+07 -1.1916688857040545e+07 3.8975975310410792e+05 +3.8582549965692291e-02 -1.2520051065612095e+05 9.7862219624449954e+03 2.4129188016198046e+05 5.4110752698090731e+05 8.3287716429377778e+05 1.0018743693044053e+06 9.9650156242433609e+05 9.0147704246815154e+05 8.0349832137626968e+05 7.1995669741300563e+05 6.4029144719883392e+05 5.6300934416437242e+05 4.9022002648982051e+05 4.2263867999103921e+05 3.6005103168334195e+05 3.0282750732666807e+05 2.5122243567712585e+05 2.0487842256112827e+05 1.6328584073500254e+05 1.2596232826875462e+05 9.2486162723969013e+04 6.2790791209190953e+04 3.9533657454456938e+04 2.8205117691481970e+04 1.8810704912394216e+04 1.1262913498693806e+03 -1.8948029483741848e+04 -3.7648208651535722e+04 -5.4554002090649286e+04 -6.9821312417153807e+04 -8.3642344234509525e+04 -9.6198437422677365e+04 -1.0765868625082762e+05 -1.1818191472361307e+05 -1.2791889116278847e+05 -1.3701453541089996e+05 -1.4561014880660499e+05 -1.5384567779735176e+05 -1.6186209101512877e+05 -1.6980387754865279e+05 -1.7842645159606656e+05 -1.8733630727136254e+05 -1.9675026091157875e+05 -2.0690883726496293e+05 -2.1808386437370180e+05 -2.3058818873291803e+05 -2.4478844381151110e+05 -2.6112221282871286e+05 -2.8012187589422078e+05 -3.0244632018146256e+05 -3.2893373387271137e+05 -3.6065431094521296e+05 -3.9900585916264111e+05 -4.4588479218208254e+05 -5.0385807520601485e+05 -5.7650006829291955e+05 -6.6884528336294100e+05 -7.8808243820269604e+05 -9.4449166105680866e+05 -1.1525367292900579e+06 -1.4317258126554438e+06 -1.8062549806390393e+06 -2.3022056949344594e+06 -2.9414246352816764e+06 -3.7330631770699667e+06 -4.6657751098030861e+06 -5.7044213740787338e+06 -6.7937128481567437e+06 -7.8673007142292485e+06 -8.8603819345431458e+06 -9.7208456339556854e+06 -1.0416479616781266e+07 -1.0937926747065268e+07 -1.1297178502797825e+07 -1.1520594982333215e+07 -1.1642499998993022e+07 -1.1696799384803629e+07 -1.1711572556362284e+07 -1.1706305820889236e+07 -1.1696750330000000e+07 -1.1684911374155315e+07 -1.1671880179553455e+07 -1.1657857276024638e+07 -1.1643270059589805e+07 -1.1627889574869767e+07 -1.1611717182163555e+07 -1.1594105255320815e+07 -1.1575254395891957e+07 -1.1554817460077014e+07 -1.1532523183045572e+07 -1.1508041913149821e+07 -1.1481002274443880e+07 -1.1450979120190578e+07 -1.1417500340844890e+07 -1.1380056829083219e+07 -1.1338072509622999e+07 -1.1290937711777491e+07 -1.1237996346858930e+07 -1.1178571771937342e+07 -1.1111985315905077e+07 -1.1037590833020704e+07 -1.0954976883689648e+07 -1.0863418916224811e+07 -1.0762924254299810e+07 -1.0653725353209885e+07 -1.0536678778333150e+07 -1.0413242083808422e+07 -1.0286189781264631e+07 -1.0159746642468821e+07 -1.0040204422722569e+07 -9.9367224134899285e+06 -9.8623344718367495e+06 -9.8356831994244661e+06 -9.8835420912343301e+06 -1.0045185848385442e+07 -1.0380112010878043e+07 -1.0982567019517772e+07 -1.2010476200299433e+07 3.9453199984338955e+05 +3.8820343411636940e-02 -1.2776817168084935e+05 7.0746911092423479e+03 2.3833478946673608e+05 5.3783098516567191e+05 8.2928731472414942e+05 9.9810039969714754e+05 9.9272951741099020e+05 8.9780349678624130e+05 7.9992714079926000e+05 7.1647302274747449e+05 6.3689170395302516e+05 5.5969146305397025e+05 4.8697954849879746e+05 4.1947026605106675e+05 3.5694947419923166e+05 2.9978709945037187e+05 2.4823710337553857e+05 2.0194239864411694e+05 1.6039383443007196e+05 1.2310949661945242e+05 8.9668044941500644e+04 6.0002951734659553e+04 3.6768994563049273e+04 2.5451060606826595e+04 1.6064435773688405e+04 -1.6050746909398731e+03 -2.1663336006785059e+04 -4.0350155695925350e+04 -5.7245875798514797e+04 -7.2506450492236865e+04 -8.6324138857081431e+04 -9.8880390816907733e+04 -1.1034447481160040e+05 -1.2087545973375761e+05 -1.3062443740290134e+05 -1.3973673894184615e+05 -1.4835417622600278e+05 -1.5661731913129555e+05 -1.6466788942367787e+05 -1.7265127875579477e+05 -1.8132808695858248e+05 -1.9030361955284423e+05 -1.9979661991706406e+05 -2.1004993599466697e+05 -2.2133820571191315e+05 -2.3397769197274858e+05 -2.4833921225926647e+05 -2.6486552072915121e+05 -2.8409546234418004e+05 -3.0669608966572571e+05 -3.3351613696298009e+05 -3.6563940215234802e+05 -4.0448157424178359e+05 -4.5196338222736784e+05 -5.1068466106430371e+05 -5.8426528693362779e+05 -6.7780306556948915e+05 -7.9857491695582040e+05 -9.5698162938121252e+05 -1.1676441071655371e+06 -1.4502563664744175e+06 -1.8291975259548102e+06 -2.3306697779776934e+06 -2.9765042842106032e+06 -3.7756491105484590e+06 -4.7163743620374659e+06 -5.7630514998192945e+06 -6.8599088802845823e+06 -7.9402159696580302e+06 -8.9389432499325201e+06 -9.8039056661645435e+06 -1.0502932075586228e+07 -1.1026784486498237e+07 -1.1387619651552496e+07 -1.1611976289828176e+07 -1.1734360153824560e+07 -1.1788837364958068e+07 -1.1803614010241203e+07 -1.1798262381631544e+07 -1.1788620195071813e+07 -1.1776683617483851e+07 -1.1763548434256626e+07 -1.1749414886931060e+07 -1.1734712969214316e+07 -1.1719211668485070e+07 -1.1702912229845468e+07 -1.1685161984457394e+07 -1.1666163077106377e+07 -1.1645565636669490e+07 -1.1623096267869553e+07 -1.1598422730076030e+07 -1.1571170730559774e+07 -1.1540911792021038e+07 -1.1507170052900827e+07 -1.1469432470736908e+07 -1.1427118418525355e+07 -1.1379613437262243e+07 -1.1326256285647623e+07 -1.1266365006650962e+07 -1.1199255599033335e+07 -1.1124276850593993e+07 -1.1041014047933431e+07 -1.0948737009937260e+07 -1.0847453091479814e+07 -1.0737396573401175e+07 -1.0619430748521348e+07 -1.0495024618244961e+07 -1.0366974484345373e+07 -1.0239538306271248e+07 -1.0119057213732684e+07 -1.0014762488622844e+07 -9.9397903275532965e+06 -9.9129297527432702e+06 -9.9611645159679651e+06 -1.0124077770305173e+07 -1.0461634337146604e+07 -1.1068820852124352e+07 -1.2104802766804177e+07 3.9936238372223667e+05 +3.9059602435232224e-02 -1.3036643948119725e+05 4.3327484370091815e+03 2.3534761278889715e+05 5.3452478310706769e+05 8.2566819708850991e+05 9.9429736403871328e+05 9.8892838264064770e+05 8.9410068195134134e+05 7.9632652391955710e+05 7.1295976541309152e+05 6.3346223933300038e+05 5.5634372819655610e+05 4.8370909322729288e+05 4.1627176029139542e+05 3.5381771912069950e+05 2.9671639682759187e+05 2.4522138730843022e+05 1.9897590900404658e+05 1.5747128604292465e+05 1.2022605075288385e+05 8.6819243679558494e+04 5.7184361166166789e+04 3.3973514658756954e+04 2.2666121957213094e+04 1.3287211867660235e+04 -4.3674825461737282e+03 -2.4409780950085529e+04 -4.3083346802695160e+04 -5.9969110515879009e+04 -7.5223080804019934e+04 -8.9037574611647535e+04 -1.0159415576639234e+05 -1.1306227129087287e+05 -1.2360124003085162e+05 -1.3336248314127084e+05 -1.4249174977109407e+05 -1.5113137014390333e+05 -1.5942254662562464e+05 -1.6750776465153426e+05 -1.7553333070420628e+05 -1.8426509893318199e+05 -1.9330716791347563e+05 -2.0288023289408290e+05 -2.1322949463266088e+05 -2.2463243647535070e+05 -2.3740878066910387e+05 -2.5193358102975818e+05 -2.6865482705171412e+05 -2.8811790878979198e+05 -3.1099814522795490e+05 -3.3815494680601818e+05 -3.7068588257123181e+05 -4.1002474147701642e+05 -4.5811686323577689e+05 -5.1759534746102948e+05 -5.9212612355193251e+05 -6.8687101494039036e+05 -8.0919609841873811e+05 -9.6962400455593318e+05 -1.1829340424584937e+06 -1.4690070866822288e+06 -1.8524054260624398e+06 -2.3594505378411887e+06 -3.0119547630581907e+06 -3.8186582040053834e+06 -4.7674425122066420e+06 -5.8221861755931731e+06 -6.9266336884310497e+06 -8.0136735906859944e+06 -9.0180521835783403e+06 -9.8875131131096818e+06 -1.0589928929378049e+07 -1.1116182753636627e+07 -1.1478597766696624e+07 -1.1703891747808302e+07 -1.1826752416060440e+07 -1.1881405991661482e+07 -1.1896185008235784e+07 -1.1890747564772109e+07 -1.1881018068262411e+07 -1.1868983261707393e+07 -1.1855743475894731e+07 -1.1841498643847432e+07 -1.1826681364362160e+07 -1.1811058553194080e+07 -1.1794631338039620e+07 -1.1776741979266794e+07 -1.1757594173245797e+07 -1.1736835305867147e+07 -1.1714189839133209e+07 -1.1689322928588409e+07 -1.1661857347925367e+07 -1.1631361270330215e+07 -1.1597355059855787e+07 -1.1559321717400342e+07 -1.1516676037604509e+07 -1.1468798745651746e+07 -1.1415023417990701e+07 -1.1354662752971867e+07 -1.1287027388575882e+07 -1.1211461017186603e+07 -1.1127545632068627e+07 -1.1034545391345156e+07 -1.0932467680813609e+07 -1.0821548617397826e+07 -1.0702658259958250e+07 -1.0577277122992568e+07 -1.0448223423628516e+07 -1.0319788499832233e+07 -1.0198363138803342e+07 -1.0093251027509486e+07 -1.0017691289780496e+07 -9.9906202099647764e+06 -1.0039233004603699e+07 -1.0203423051354293e+07 -1.0543625138347995e+07 -1.1155570349922465e+07 -1.2199671387847235e+07 4.0425160750118253e+05 +3.9300336069182311e-02 -1.3299569661874516e+05 1.5600141278967599e+03 2.3232997337605665e+05 5.3118853592746344e+05 8.2201941638958757e+05 9.9046489428100327e+05 9.8509775222458912e+05 8.9036821542280342e+05 7.9269609116646624e+05 7.0941654525484133e+05 6.3000267355666810e+05 5.5296576038545754e+05 4.8040828152470168e+05 4.1304278385932650e+05 3.5065538781943335e+05 2.9361502092511131e+05 2.4217490900674698e+05 1.9597857517073865e+05 1.5451781703183637e+05 1.1731161198207442e+05 8.3939380032197150e+04 5.4334640301456937e+04 3.1146838192792446e+04 1.9849921857474172e+04 1.0478652897555472e+04 -7.1613131375747507e+03 -2.7187746057336892e+04 -4.5848164719186476e+04 -6.2724090193053758e+04 -7.7971588732949633e+04 -9.1783038570904362e+04 -1.0434012133812011e+05 -1.1581246710107388e+05 -1.2635964978000757e+05 -1.3613342577054055e+05 -1.4527996907240190e+05 -1.5394213616025529e+05 -1.6226177105955049e+05 -1.7038213353615627e+05 -1.7845045731729211e+05 -1.8723792039883827e+05 -1.9634739582783703e+05 -2.0600155585408781e+05 -2.1644798402872775e+05 -2.2796704508643891e+05 -2.4088196407490084e+05 -2.5557208409993481e+05 -2.7249069517662912e+05 -2.9218981366753910e+05 -3.1535312723823130e+05 -3.4285085415577091e+05 -3.7579450380026945e+05 -4.1563618637974362e+05 -4.6434615118635097e+05 -5.2459116195570666e+05 -6.0008374438586365e+05 -6.9605047102387156e+05 -8.1994753882135451e+05 -9.8242061110967991e+05 -1.1984086833148089e+06 -1.4879804931053233e+06 -1.8758815960713550e+06 -2.3885512663931637e+06 -3.0477796717465823e+06 -3.8620942557308991e+06 -4.8189834307638230e+06 -5.8818292298064958e+06 -6.9938909772765553e+06 -8.0876771154183969e+06 -9.0977120981572345e+06 -9.9716711765780151e+06 -1.0677473246025644e+07 -1.1206124513572022e+07 -1.1570115740117541e+07 -1.1796344199731771e+07 -1.1919679599321986e+07 -1.1974508061109975e+07 -1.1989288336337004e+07 -1.1983764149773559e+07 -1.1973946725356050e+07 -1.1961813079232473e+07 -1.1948468073582392e+07 -1.1934111312514918e+07 -1.1919178007282253e+07 -1.1903432987606740e+07 -1.1886877261520755e+07 -1.1868847990346074e+07 -1.1849550430430073e+07 -1.1828629208928213e+07 -1.1805806632819751e+07 -1.1780745238856709e+07 -1.1753064850312719e+07 -1.1722330271731758e+07 -1.1688058070401829e+07 -1.1649727268890779e+07 -1.1606748056714697e+07 -1.1558496315603022e+07 -1.1504300409992658e+07 -1.1443467662896782e+07 -1.1375303320741147e+07 -1.1299145951352680e+07 -1.1214574235040788e+07 -1.1120846637670022e+07 -1.1017970575704191e+07 -1.0906184012665803e+07 -1.0786363812365508e+07 -1.0660002068492249e+07 -1.0529939039408969e+07 -1.0400499633460417e+07 -1.0278124579880690e+07 -1.0172190387545463e+07 -1.0096039698262688e+07 -1.0068756904491672e+07 -1.0117749901922964e+07 -1.0283224074647231e+07 -1.0626086877036743e+07 -1.1242818118442848e+07 -1.2295084912760613e+07 4.0920038233334891e+05 +3.9542553401862073e-02 -1.3565632556672060e+05 -1.2438963429923911e+03 2.2928148409452659e+05 5.2782184894112463e+05 8.1834060138714465e+05 9.8660258024956123e+05 9.8123724740057101e+05 8.8660571253836830e+05 7.8903545481964143e+05 7.0584297713049245e+05 6.2651262257668073e+05 5.4955717587520462e+05 4.7707672948316333e+05 4.0978295316807000e+05 3.4746209689514269e+05 2.9048258846672595e+05 2.3909728527066152e+05 1.9295001393503306e+05 1.5153304411149508e+05 1.1436579687449963e+05 8.1028070344544030e+04 5.1453405185401432e+04 2.8288580858888101e+04 1.7002075656936126e+04 7.6383737910540831e+03 -9.9869521720203029e+03 -2.9997617867508230e+04 -4.8644996999831077e+04 -6.5511203601445552e+04 -8.0752364497057657e+04 -9.4560922664347207e+04 -1.0711868147901242e+05 -1.1859545856151596e+05 -1.2915108808570352e+05 -1.3893766766108654e+05 -1.4810180304211067e+05 -1.5678688495042225e+05 -1.6513540834970365e+05 -1.7329141812634520e+05 -1.8140308781507975e+05 -1.9024698964109283e+05 -1.9942475230645086e+05 -2.0916105049760902e+05 -2.1970588090385546e+05 -2.3134252605554016e+05 -2.4439775778706794e+05 -2.5925526209604109e+05 -2.7637369549517782e+05 -2.9631178285718168e+05 -3.1976168402648723e+05 -3.4760455834494671e+05 -3.8096602676278609e+05 -4.2131674469101703e+05 -4.7065217338801926e+05 -5.3167314478723158e+05 -6.0813933000182349e+05 -7.0534278971128725e+05 -8.3083081316857343e+05 -9.9537329517802899e+05 -1.2140702025726240e+06 -1.5071791332713214e+06 -1.8996289812285581e+06 -2.4179752869948703e+06 -3.0839826416584956e+06 -3.9059610941326856e+06 -4.8710010160671277e+06 -5.9419845162440063e+06 -7.0616844744944666e+06 -8.1622301030840809e+06 -9.1779263761473522e+06 -1.0056383077313973e+07 -1.0765568111814108e+07 -1.1296612749490244e+07 -1.1662176481634689e+07 -1.1889336506877657e+07 -1.2013144535000244e+07 -1.2068146387201501e+07 -1.2082926798230112e+07 -1.2077314933752546e+07 -1.2067408959765142e+07 -1.2055175860067325e+07 -1.2041725014029089e+07 -1.2027255676231939e+07 -1.2012205677787784e+07 -1.1996337747848846e+07 -1.1979652772540402e+07 -1.1961482785738226e+07 -1.1942034612217022e+07 -1.1920950104543995e+07 -1.1897949402291398e+07 -1.1872692408388779e+07 -1.1844795978750614e+07 -1.1813821530110024e+07 -1.1779281810416592e+07 -1.1740651842131589e+07 -1.1697337182790279e+07 -1.1648708842786733e+07 -1.1594089944673680e+07 -1.1532782405262010e+07 -1.1464086048477756e+07 -1.1387334288296886e+07 -1.1302102472314354e+07 -1.1207643342520136e+07 -1.1103964345748005e+07 -1.0991305302755384e+07 -1.0870549921326343e+07 -1.0743201940859955e+07 -1.0612123787477206e+07 -1.0481674132751137e+07 -1.0358343934010360e+07 -1.0251582941052739e+07 -1.0174837907579053e+07 -1.0147342184557568e+07 -1.0196717567565070e+07 -1.0363483238426529e+07 -1.0709022031435309e+07 -1.1330566779714625e+07 -1.2391046208999284e+07 4.1420942786274507e+05 +3.9786263577660207e-02 -1.3834871447606795e+05 -4.0793722815422475e+03 2.2620176018392746e+05 5.2442433996600949e+05 8.1463134954190068e+05 9.8271004817914730e+05 9.7734647748555767e+05 8.8281277905051003e+05 7.8534422495869605e+05 7.0223867151489027e+05 6.2299169722395577e+05 5.4611758582060435e+05 4.7371404851151246e+05 4.0649187983451254e+05 3.4423745815086475e+05 2.8731871138402488e+05 2.3598812811260621e+05 1.8988983729108222e+05 1.4851657919588362e+05 1.1138821719480494e+05 7.8084926155441921e+04 4.8540267052861760e+04 2.5398353535961789e+04 1.4122193881746645e+04 4.7659846426983841e+03 -1.2844790199217097e+04 -3.2839787772724951e+04 -5.1474236064085562e+04 -6.8330844391422637e+04 -8.3565803210271857e+04 -9.7371623737132570e+04 -1.0993023507509807e+05 -1.2141164695837305e+05 -1.3197595905206056e+05 -1.4177561622118365e+05 -1.5095766295949061e+05 -1.5966603232647252e+05 -1.6804387961295553e+05 -1.7623604574456910e+05 -1.8439165677871255e+05 -1.9329275041655527e+05 -2.0253969196208750e+05 -2.1235918428351561e+05 -2.2300366792162458e+05 -2.3475938005324153e+05 -2.4795668382251062e+05 -2.6298366237316618e+05 -2.8030440549520601e+05 -3.0048442977103498e+05 -3.2422447197856329e+05 -3.5241676739029813e+05 -3.8620122182069154e+05 -4.2706726250538271e+05 -4.7703586861752061e+05 -5.3884234902036225e+05 -6.1629407546357170e+05 -7.1474934343409061e+05 -8.4184751545983250e+05 -1.0084839247416083e+06 -1.2299207980167305e+06 -1.5266055826764198e+06 -1.9236505571898832e+06 -2.4477259547463083e+06 -3.1205673358442280e+06 -3.9502625779132484e+06 -4.9234991944964929e+06 -6.0026559141572062e+06 -7.1300179308826467e+06 -8.2373361341410903e+06 -9.2586984198891856e+06 -1.0141652055021124e+07 -1.0854216631495761e+07 -1.1387650462728912e+07 -1.1754782919062141e+07 -1.1982871548379255e+07 -1.2107150072245123e+07 -1.2162323801574502e+07 -1.2177103215299405e+07 -1.2171402731492316e+07 -1.2161407582561314e+07 -1.2149074411890868e+07 -1.2135517101553209e+07 -1.2120934535894137e+07 -1.2105767173236221e+07 -1.2089775627601447e+07 -1.2072960660879314e+07 -1.2054649150995469e+07 -1.2035049499628704e+07 -1.2013800768812580e+07 -1.1990620918294016e+07 -1.1965167202055965e+07 -1.1937053491642922e+07 -1.1905837796655910e+07 -1.1871029023028664e+07 -1.1832098171253711e+07 -1.1788446139844606e+07 -1.1739439039923694e+07 -1.1684394722036980e+07 -1.1622609665794019e+07 -1.1553378241501909e+07 -1.1476028679859350e+07 -1.1390132975888472e+07 -1.1294938115885707e+07 -1.1190451576801343e+07 -1.1076915047263497e+07 -1.0955219118351763e+07 -1.0826879241933791e+07 -1.0694780139125658e+07 -1.0563314438648015e+07 -1.0439023613402281e+07 -1.0331431075399721e+07 -1.0254088287213685e+07 -1.0226378413251292e+07 -1.0276138376121297e+07 -1.0444202956105610e+07 -1.0792433095419183e+07 -1.1418818972374495e+07 -1.2487558162138252e+07 4.1927947232370742e+05 +4.0031475797324446e-02 -1.4107325642129610e+05 -6.9468078242181828e+03 2.2309039827844992e+05 5.2099561156286951e+05 8.1089127794509777e+05 9.7878689129001682e+05 9.7342505152495101e+05 8.7898902041690820e+05 7.8162200610194285e+05 6.9860323386016407e+05 6.1943950276495423e+05 5.4264659600427421e+05 4.7031984531510924e+05 4.0316917063889670e+05 3.4098107856945548e+05 2.8412299676392414e+05 2.3284704469587168e+05 1.8679765237969134e+05 1.4546802934220686e+05 1.0837847984604021e+05 7.5109554138748543e+04 4.5594832270462350e+04 2.2475762229727054e+04 1.1209882176811381e+04 1.8610906555861861e+03 -1.5735222670081990e+04 -3.5714652076710518e+04 -5.4336279255114889e+04 -7.1183411151625318e+04 -8.6412304941317954e+04 -1.0021554360940852e+05 -1.1277518601092158e+05 -1.2426143860424554e+05 -1.3483467184268951e+05 -1.4464768395781409e+05 -1.5384796524893082e+05 -1.6257999929959580e+05 -1.7098761122898434e+05 -1.7921644905140210e+05 -1.8741660421550911e+05 -1.9637565202043380e+05 -2.0569267507844834e+05 -2.1559643049867661e+05 -2.2634183376079591e+05 -2.3821811398715692e+05 -2.5155927069801401e+05 -2.6675783909815591e+05 -2.8428340984680696e+05 -3.0470837544710271e+05 -3.2874215563360672e+05 -3.5728819809606357e+05 -3.9150086889015225e+05 -4.3288859639672679e+05 -4.8349818725602818e+05 -5.4609984070636879e+05 -6.2454919050784910e+05 -7.2427152135805762e+05 -8.5299925890863780e+05 -1.0217543898728478e+06 -1.2459626926542108e+06 -1.5462624450700136e+06 -1.9479493302834744e+06 -2.4778066567332726e+06 -3.1575374492417201e+06 -3.9950025962386504e+06 -4.9764819206055719e+06 -6.0638473283671848e+06 -7.1988951203974606e+06 -8.3129988102875603e+06 -9.3400316516189873e+06 -1.0227481368441828e+07 -1.0943421928279392e+07 -1.1479240672781514e+07 -1.1847937998189135e+07 -1.2076952221277619e+07 -1.2201699078077812e+07 -1.2257043153649339e+07 -1.2271820426682224e+07 -1.2266030375517540e+07 -1.2255945422511438e+07 -1.2243511560023924e+07 -1.2229847158154646e+07 -1.2215150710025033e+07 -1.2199865308614757e+07 -1.2183749438123273e+07 -1.2166803733886780e+07 -1.2148349889206177e+07 -1.2128597891183298e+07 -1.2107183995328289e+07 -1.2083823969035180e+07 -1.2058172402153995e+07 -1.2029840164715189e+07 -1.1998381839849936e+07 -1.1963302468615921e+07 -1.1924069007614447e+07 -1.1880077669074045e+07 -1.1830689636789553e+07 -1.1775217459071858e+07 -1.1712952147123141e+07 -1.1643182586338807e+07 -1.1565231794586612e+07 -1.1478668394313417e+07 -1.1382733584189622e+07 -1.1277434870986041e+07 -1.1163015821950531e+07 -1.1040373950853156e+07 -1.0911036489301318e+07 -1.0777910581251934e+07 -1.0645423007443942e+07 -1.0520166045458037e+07 -1.0411737192956489e+07 -1.0333793221561175e+07 -1.0305867968510987e+07 -1.0356014717114549e+07 -1.0525385656292029e+07 -1.0876322578554912e+07 -1.1507577351652896e+07 -1.2584623675899733e+07 4.2441125264144631e+05 +4.0278199318308935e-02 -1.4383035293170749e+05 -9.8466018461621206e+03 2.1994700420376670e+05 5.1753526337670471e+05 8.0711997381279373e+05 9.7483271599181951e+05 9.6947255961423973e+05 8.7513403632925206e+05 7.7786839763696946e+05 6.9493626395369077e+05 6.1585563978440186e+05 5.3914380730238312e+05 4.6689372172471811e+05 3.9981442749107338e+05 3.3769256026071892e+05 2.8089504679240374e+05 2.2967363727089329e+05 1.8367306142873157e+05 1.4238699669092507e+05 1.0533618681134454e+05 7.2101556044945726e+04 4.2616702278029283e+04 1.9520408013857254e+04 8.2647412467712911e+03 -1.0767079176525633e+03 -1.8658649995888249e+04 -3.8622612054057841e+04 -5.7231528899379948e+04 -7.4069307468396772e+04 -8.9292274773791563e+04 -1.0309308913637741e+05 -1.1565394323018234e+05 -1.2714524489942915e+05 -1.3772764074236201e+05 -1.4755428853856065e+05 -1.5677313154203794e+05 -1.6552921214358739e+05 -1.7396703490449672e+05 -1.8223306611058180e+05 -1.9047837562487682e+05 -1.9949614935249370e+05 -2.0888416767920932e+05 -2.1887326832887394e+05 -2.2972087318741615e+05 -2.4171924107739699e+05 -2.5520605350855330e+05 -2.7057835333119793e+05 -2.8831130048930465e+05 -3.0898424864133104e+05 -3.3331540778549376e+05 -3.6221957616353955e+05 -3.9686575755644438e+05 -4.3878161354505550e+05 -4.9004009143295564e+05 -5.5344669903553277e+05 -6.3290589972096484e+05 -7.3391072958108515e+05 -8.6428767616565106e+05 -1.0351866029859390e+06 -1.2621981349734145e+06 -1.5661523527203661e+06 -1.9725283377883569e+06 -2.5082208122768258e+06 -3.1948967088781786e+06 -4.0401850689041247e+06 -5.0299531772422772e+06 -6.1255626893572751e+06 -7.2683198402535580e+06 -8.3892217545544337e+06 -9.4219295135128442e+06 -1.0313874295364451e+07 -1.1033187143927835e+07 -1.1571386417382624e+07 -1.1941644682845309e+07 -1.2171581440526584e+07 -1.2296794437335223e+07 -1.2352307310673527e+07 -1.2367081289301734e+07 -1.2361200716062171e+07 -1.2351025326098582e+07 -1.2338490147497864e+07 -1.2324718023473501e+07 -1.2309907034813032e+07 -1.2294502916556895e+07 -1.2278262008304084e+07 -1.2261184816500353e+07 -1.2242587821031872e+07 -1.2222682602964154e+07 -1.2201102595186625e+07 -1.2177561360184038e+07 -1.2151710808379404e+07 -1.2123158791121619e+07 -1.2091456445532860e+07 -1.2056104924871696e+07 -1.2016567119763231e+07 -1.1972234528841320e+07 -1.1922463380295297e+07 -1.1866560889786590e+07 -1.1803812568793146e+07 -1.1733501786345491e+07 -1.1654946317742836e+07 -1.1567711392743612e+07 -1.1471032390321556e+07 -1.1364916846753027e+07 -1.1249610218647145e+07 -1.1126016982237589e+07 -1.0995676216323452e+07 -1.0861517616300594e+07 -1.0728002310846187e+07 -1.0601773672772018e+07 -1.0492503711157603e+07 -1.0413955109948594e+07 -1.0385813243190661e+07 -1.0436348995033462e+07 -1.0607033782806814e+07 -1.0960693006156668e+07 -1.1596844589441756e+07 -1.2682245672229433e+07 4.2960551453373040e+05 +4.0526443455123712e-02 -1.4662040637863209e+05 -1.2779158280665526e+04 2.1677117307928071e+05 5.1404288968181191e+05 8.0331703428602091e+05 9.7084711209735426e+05 9.6548859992460290e+05 8.7124742223269294e+05 7.7408299461603584e+05 6.9123735666557041e+05 6.1223970454705541e+05 5.3560881607330311e+05 4.6343527448352717e+05 3.9642724736686656e+05 3.3437150037370576e+05 2.7763445869708247e+05 2.2646750311486115e+05 1.8051566169187956e+05 1.3927307840619408e+05 1.0226093509400032e+05 6.9060528641058496e+04 3.9605473528889132e+04 1.6531886970268206e+04 5.2863667963079752e+03 -4.0478158346223127e+03 -2.1615477608145491e+04 -4.1564074010293043e+04 -6.0160392366658540e+04 -7.6988941986057631e+04 -9.2206122866730977e+04 -1.0600467226920514e+05 -1.1856692079695802e+05 -1.3006348239316444e+05 -1.4065528521849460e+05 -1.5049585285439854e+05 -1.5973358874095642e+05 -1.6851410245792745e+05 -1.7698258773754409e+05 -1.8528634045403506e+05 -1.9357742206508934e+05 -2.0265470298638655e+05 -2.1211464159655175e+05 -2.2219018293081163e+05 -2.3314128713074510e+05 -2.4526328093245358e+05 -2.5889757400701003e+05 -2.7444577311164979e+05 -2.9238867672169127e+05 -3.1331268592124095e+05 -3.3794490958048677e+05 -3.6721163629629585e+05 -4.0229668719187478e+05 -4.4474719186604978e+05 -4.9666255516589707e+05 -5.6088401649721386e+05 -6.4136544271350256e+05 -7.4366839133479272e+05 -8.7571441954327084e+05 -1.0487824990844801e+06 -1.2786293992208468e+06 -1.5862779667089800e+06 -1.9973906482098880e+06 -2.5389718731870237e+06 -3.2326488741038796e+06 -4.0858139465156058e+06 -5.0839169756694436e+06 -6.1878059533865890e+06 -7.3382959109747615e+06 -8.4660086113630012e+06 -9.5043954677621927e+06 -1.0400834132720048e+07 -1.1123515438767707e+07 -1.1664090752514368e+07 -1.2035905954937505e+07 -1.2266762139052825e+07 -1.2392439052769845e+07 -1.2448119157714080e+07 -1.2462888677849621e+07 -1.2456916621158779e+07 -1.2446650157564612e+07 -1.2434013035085192e+07 -1.2420132554896932e+07 -1.2405206364136698e+07 -1.2389682847337708e+07 -1.2373316184665468e+07 -1.2356106751270408e+07 -1.2337365784712968e+07 -1.2317306468606777e+07 -1.2295559397027796e+07 -1.2271835914919794e+07 -1.2245785237939026e+07 -1.2217012181414254e+07 -1.2185064416920839e+07 -1.2149439186807647e+07 -1.2109595293562243e+07 -1.2064919494717792e+07 -1.2014763034456540e+07 -1.1958427765273318e+07 -1.1895193667339852e+07 -1.1824338561755341e+07 -1.1745174951336812e+07 -1.1657264652965553e+07 -1.1559837193645794e+07 -1.1452900138859859e+07 -1.1336700845413467e+07 -1.1212150791881735e+07 -1.1080800972178578e+07 -1.0945603762340210e+07 -1.0811054835970964e+07 -1.0683848953201283e+07 -1.0573733062510116e+07 -1.0494576366689635e+07 -1.0466216645091951e+07 -1.0517143629388599e+07 -1.0689149794705274e+07 -1.1045546919274276e+07 -1.1686623374266088e+07 -1.2780427091290900e+07 4.3486301261374325e+05 +4.0776217579686344e-02 -1.4944382347700046e+05 -1.5744885874910122e+04 2.1356249466014712e+05 5.1051808096500899e+05 7.9948204193371115e+05 9.6682967107995646e+05 9.6147276318847400e+05 8.6732876741616649e+05 7.7026538712805591e+05 6.8750610229422071e+05 6.0859128798534849e+05 5.3204121395575511e+05 4.5994409511090309e+05 3.9300722221515013e+05 3.3101749100472505e+05 2.7434082468547981e+05 2.2322823447154035e+05 1.7732504538800850e+05 1.3612586661452433e+05 9.9152316657463118e+04 6.5986063650446275e+04 3.6560737429627399e+04 1.3509790128774543e+04 2.2743494697039318e+03 -7.0526429236910326e+03 -2.4606116019198253e+04 -4.4539449342654822e+04 -6.3123282131040090e+04 -7.9942728468184941e+04 -9.5154264516085721e+04 -1.0895071011672671e+05 -1.2151453795738809e+05 -1.3301657284613326e+05 -1.4361802998518271e+05 -1.5347280508249454e+05 -1.6272976908212982e+05 -1.7153510723281751e+05 -1.8003471228335073e+05 -1.8837672114857147e+05 -1.9671420022086488e+05 -2.0585177923840238e+05 -2.1538457454395611e+05 -2.2554766550498482e+05 -2.3660358275635081e+05 -2.4885075962839791e+05 -2.6263438068645360e+05 -2.7836067354136537e+05 -2.9651614529042412e+05 -3.1769433176169574e+05 -3.4263135062132875e+05 -3.7226512231298373e+05 -4.0779446707517869e+05 -4.5078622013965988e+05 -5.0336656450487016e+05 -5.6841289904061100e+05 -6.4992907430298394e+05 -7.5354594718563347e+05 -8.8728116124389775e+05 -1.0625440360145010e+06 -1.2952587856718388e+06 -1.6066419772058339e+06 -2.0225393615507041e+06 -2.5700633240080220e+06 -3.2707977367847995e+06 -4.1318932106520049e+06 -5.1383773557294440e+06 -6.2505811025778195e+06 -7.4088271765133077e+06 -8.5433630465542320e+06 -9.5874329966259580e+06 -1.0488364196549783e+07 -1.1214409991724364e+07 -1.1757356752445778e+07 -1.2130724814477092e+07 -1.2362497267790817e+07 -1.2488635845057633e+07 -1.2544481597727899e+07 -1.2559245484903371e+07 -1.2553180976641534e+07 -1.2542822798954060e+07 -1.2530083101337513e+07 -1.2516093627556894e+07 -1.2501051569614422e+07 -1.2485407968981147e+07 -1.2468914831426550e+07 -1.2451572398428736e+07 -1.2432686636124438e+07 -1.2412472339340763e+07 -1.2390557247051168e+07 -1.2366650473953294e+07 -1.2340398525497172e+07 -1.2311403163640173e+07 -1.2279208574650833e+07 -1.2243308066791423e+07 -1.2203156332163712e+07 -1.2158135359512923e+07 -1.2107591380493602e+07 -1.2050820853672201e+07 -1.1987098196284259e+07 -1.1915695649693510e+07 -1.1835920414188154e+07 -1.1747330873437261e+07 -1.1649150670056608e+07 -1.1541387398441384e+07 -1.1424290326487774e+07 -1.1298777975197978e+07 -1.1166413321867075e+07 -1.1030171553071277e+07 -1.0894583085380074e+07 -1.0766394359851955e+07 -1.0655427694640668e+07 -1.0575659421076849e+07 -1.0547080596931962e+07 -1.0598401054702565e+07 -1.0771736166358614e+07 -1.1130886874760374e+07 -1.1776916411382113e+07 -1.2879170891512657e+07 4.4018451049407676e+05 +4.1027531121675780e-02 -1.5230101922687114e+05 -1.8744198846686264e+04 2.1032055504228498e+05 5.0696042142391892e+05 7.9561458535422035e+05 9.6277997029708582e+05 9.5742462834227621e+05 8.6337765633632638e+05 7.6641516076359956e+05 6.8374208685078030e+05 6.0490997584751132e+05 5.2844058741322439e+05 4.5641976991195505e+05 3.8955393885857379e+05 3.2763011912574340e+05 2.7101373188034398e+05 2.1995541849166306e+05 1.7410079963822171e+05 1.3294494834363245e+05 9.6009918363942197e+04 6.2877747691951125e+04 3.3482080278981841e+04 1.0453703405904696e+04 -7.7172521037371257e+02 -1.0091604145278563e+04 -2.7630980883629705e+04 -4.7549154601590562e+04 -6.6120615832628464e+04 -8.2931085859575003e+04 -9.8137120216568306e+04 -1.1193162500771026e+05 -1.2449721920302215e+05 -1.3600494329352726e+05 -1.4661630506507852e+05 -1.5648557875072243e+05 -1.6576211020086854e+05 -1.7459266891497409e+05 -1.8312385662033982e+05 -1.9150466286326741e+05 -1.9988917247162672e+05 -2.0908785023662157e+05 -2.1869445018584857e+05 -2.2894621336866586e+05 -2.4010827354317781e+05 -2.5248220978635616e+05 -2.6641702886058867e+05 -2.8232363687150448e+05 -3.0069432048153837e+05 -3.2212983864062221e+05 -3.4737542906875111e+05 -3.7738078725594259e+05 -4.1335991651157400e+05 -4.5689959814470296e+05 -5.1015311767888477e+05 -5.7603446623616875e+05 -6.5859806469507620e+05 -7.6354485524109576e+05 -8.9898959358956001e+05 -1.0764731947186780e+06 -1.3120886209052298e+06 -1.6272471037498568e+06 -2.0479776095951495e+06 -2.6014986822810792e+06 -3.3093471215296276e+06 -4.1784268740354129e+06 -5.1933383859261218e+06 -6.3138921450077957e+06 -7.4799175042690765e+06 -8.6212887475019600e+06 -9.6710456024317741e+06 -1.0576467822097218e+07 -1.1305874000381300e+07 -1.1851187509777198e+07 -1.2226104279620556e+07 -1.2458789795651460e+07 -1.2585387752844403e+07 -1.2641397551587986e+07 -1.2656154620881528e+07 -1.2649996686211416e+07 -1.2639546150130967e+07 -1.2626703242596010e+07 -1.2612604134352140e+07 -1.2597445540611815e+07 -1.2581681167208616e+07 -1.2565060830510044e+07 -1.2547584635868743e+07 -1.2528553248823017e+07 -1.2508183084039688e+07 -1.2486099009063508e+07 -1.2462007895557746e+07 -1.2435553523285775e+07 -1.2406334583281379e+07 -1.2373891756803328e+07 -1.2337714394602805e+07 -1.2297253056049820e+07 -1.2251884933309305e+07 -1.2200951216806963e+07 -1.2143742940286769e+07 -1.2079528926190550e+07 -1.2007575804202562e+07 -1.1927185441901693e+07 -1.1837912769271210e+07 -1.1738975511988457e+07 -1.1630381293034730e+07 -1.1512381302334178e+07 -1.1385901143648898e+07 -1.1252515846244153e+07 -1.1115223537894078e+07 -1.0978589577114305e+07 -1.0849412381136563e+07 -1.0737590070311900e+07 -1.0657206717440868e+07 -1.0628407536437184e+07 -1.0680123720562918e+07 -1.0854795387389045e+07 -1.1216715445263488e+07 -1.1867726422759138e+07 -1.2978480049603095e+07 4.4557078089192946e+05 +4.1280393568888310e-02 -1.5519241270220210e+05 -2.1777515581841039e+04 2.0704493204544904e+05 5.0336948367895698e+05 7.9171424841806514e+05 9.5869758227975573e+05 9.5334377492775349e+05 8.5939366798019165e+05 7.6253189511821058e+05 6.7994489125087531e+05 6.0119534929160157e+05 5.2480651749550854e+05 4.5286188008488982e+05 3.8606697892254632e+05 3.2420896653920016e+05 2.6765276225137827e+05 2.1664863717183570e+05 1.7084250640415784e+05 1.2972990545983834e+05 9.2833321913294902e+04 5.9735162218192221e+04 3.0369083205815787e+04 7.3632075429921160e+03 -3.8522769048591322e+03 -1.3165119653875616e+04 -3.0690493060397155e+04 -5.0593611552976668e+04 -6.9152816340092031e+04 -8.5954438348545416e+04 -1.0115511572484981e+05 -1.1494784455440687e+05 -1.2751539433337306e+05 -1.3902902610909948e+05 -1.4965054585498699e+05 -1.5953461280219737e+05 -1.6883105519708179e+05 -1.7768723547297574e+05 -1.8625047441711812e+05 -1.9467062593741732e+05 -2.0310280696075293e+05 -2.1236339399252587e+05 -2.2204475821101794e+05 -2.3238633003010176e+05 -2.4365587936023320e+05 -2.5615817065323319e+05 -2.7024608074848040e+05 -2.8633525258981436e+05 -3.0492382421131473e+05 -3.2661986713744589e+05 -3.5217785174648330e+05 -3.8255939350406348e+05 -4.1899386495512014e+05 -4.6308823678970354e+05 -5.1702322524293832e+05 -5.8374985144043574e+05 -6.6737369966758310e+05 -7.7366659135515487e+05 -9.1084142925626645e+05 -1.0905719794982541e+06 -1.3291212580837505e+06 -1.6480960955489771e+06 -2.0737085561836499e+06 -2.6332814987957692e+06 -3.3483008859048858e+06 -4.2254189807208171e+06 -5.2488041635980876e+06 -6.3777431148254089e+06 -7.5515707852169508e+06 -8.6997894231077395e+06 -9.7552368076832201e+06 -1.0665148363878392e+07 -1.1397910680980103e+07 -1.1945586135458961e+07 -1.2322047386686089e+07 -1.2555642709665071e+07 -1.2682697732731258e+07 -1.2738869958093459e+07 -1.2753619014138483e+07 -1.2747366671404561e+07 -1.2736823128777428e+07 -1.2723876373028975e+07 -1.2709666986010944e+07 -1.2694391184300933e+07 -1.2678505345530916e+07 -1.2661757081582282e+07 -1.2644146359230971e+07 -1.2624968514046052e+07 -1.2604441589239279e+07 -1.2582187564506652e+07 -1.2557911055636320e+07 -1.2531253101065323e+07 -1.2501809303400522e+07 -1.2469116818908172e+07 -1.2432661017438434e+07 -1.2391888303081630e+07 -1.2346171043508211e+07 -1.2294845359015863e+07 -1.2237196827519434e+07 -1.2172488644656619e+07 -1.2099981796296261e+07 -1.2018972786936926e+07 -1.1929013072323972e+07 -1.1829314428471135e+07 -1.1719884506599234e+07 -1.1600976429674447e+07 -1.1473522924767321e+07 -1.1339111142087497e+07 -1.1200762281846726e+07 -1.1063076844726535e+07 -1.0932905520775318e+07 -1.0820222667447777e+07 -1.0739220715145811e+07 -1.0710199916349391e+07 -1.0762314091635801e+07 -1.0938329962785633e+07 -1.1303035219280872e+07 -1.1959056147132708e+07 -1.3078357560626576e+07 4.5102260573546775e+05 +4.1534814467595785e-02 -1.5811842635335613e+05 -2.4845260791812707e+04 2.0373520182588536e+05 4.9974485186182044e+05 7.8778060000618256e+05 9.5458209717428742e+05 9.4922977595280961e+05 8.5537637665094074e+05 7.5861516444569326e+05 6.7611409051385906e+05 5.9744698407684325e+05 5.2113857989207318e+05 4.4927000178016693e+05 3.8254591879488615e+05 3.2075360983652057e+05 2.6425749254431279e+05 2.1330746728836629e+05 1.6754974242636046e+05 1.2648031460628493e+05 8.9622103779587022e+04 5.6557883453140887e+04 2.7221322106779244e+04 4.2378780434965311e+03 -6.9677305210723125e+03 -1.6273614860916063e+04 -3.3785078675734563e+04 -5.3673247241302881e+04 -7.2220311813677676e+04 -8.9013215430873141e+04 -1.0420868212315433e+05 -1.1799980171602643e+05 -1.3056949852139893e+05 -1.4208925906966755e+05 -1.5272119319056711e+05 -1.6262035166143550e+05 -1.7193705270184591e+05 -1.8081926046507317e+05 -1.8941502500072875e+05 -1.9787507644956390e+05 -2.0635557766603614e+05 -2.1567889447177949e+05 -2.2543599440565100e+05 -2.3586852526539957e+05 -2.4724692654439903e+05 -2.5987918818166241e+05 -2.7412210555767472e+05 -2.9039611750857410e+05 -3.0920528611914866e+05 -3.3116508603009599e+05 -3.5703933424600173e+05 -3.8780171288675116e+05 -4.2469715213094850e+05 -4.6935305824991758e+05 -5.2397791022661381e+05 -5.9156020196169557e+05 -6.7625728075620311e+05 -7.8391264934075251e+05 -9.2283840150600346e+05 -1.1048424182663765e+06 -1.3463590772317336e+06 -1.6691917317583661e+06 -2.0997353974925997e+06 -2.6654153578378009e+06 -3.3876629206483061e+06 -4.2728736062411014e+06 -5.3047788150294302e+06 -6.4421380723341769e+06 -7.6237909339429410e+06 -8.7788688039232697e+06 -9.8400101550779399e+06 -1.0754409195659131e+07 -1.1490523268531593e+07 -1.2040555758859258e+07 -1.2418557190195138e+07 -1.2653059014938558e+07 -1.2780568759356456e+07 -1.2836901774028713e+07 -1.2851641610924717e+07 -1.2845293871683776e+07 -1.2834656670517944e+07 -1.2821605424687671e+07 -1.2807285111094197e+07 -1.2791891425640345e+07 -1.2775883425245248e+07 -1.2759006502096254e+07 -1.2741260481881209e+07 -1.2721935340727901e+07 -1.2701250759162348e+07 -1.2678825812472275e+07 -1.2654362847678266e+07 -1.2627500146219699e+07 -1.2597830204570390e+07 -1.2564886634044489e+07 -1.2528150799925141e+07 -1.2487064928513356e+07 -1.2440996534805583e+07 -1.2389276640017979e+07 -1.2331185335009705e+07 -1.2265980156392431e+07 -1.2192916413968746e+07 -1.2111285218619663e+07 -1.2020634531196279e+07 -1.1920170145115731e+07 -1.1809899739545649e+07 -1.1690078381536834e+07 -1.1561645962199178e+07 -1.1426201822052481e+07 -1.1286790365753885e+07 -1.1148047437290646e+07 -1.1016876297845485e+07 -1.0903327979152314e+07 -1.0821703888656344e+07 -1.0792460204423828e+07 -1.0844974647687845e+07 -1.1022342412876777e+07 -1.1389848801176652e+07 -1.2050908340032641e+07 -1.3178806437992690e+07 4.5654077627140435e+05 +4.1790803422905989e-02 -1.6107948964624188e+05 -2.7947863870657828e+04 2.0039093681368500e+05 4.9608608397999557e+05 7.8381320967773045e+05 9.5043307594301680e+05 9.4508220278262428e+05 8.5132534955099504e+05 7.5466453904820594e+05 6.7224925380002288e+05 5.9366444995089353e+05 5.1743634505877050e+05 4.4564370600374596e+05 3.7899032961051888e+05 3.1726362034400553e+05 2.6082749421307197e+05 2.0993148032975954e+05 1.6422207916166197e+05 1.2319574714011268e+05 8.6375835148274156e+04 5.3345482328918668e+04 2.4038367582533818e+04 1.0772851095187075e+03 -1.0118516276270033e+04 -1.9417520498332913e+04 -3.6915169186920939e+04 -5.6788494053507027e+04 -7.5323535769556707e+04 -9.2107851973686251e+04 -1.0729825588361311e+05 -1.2108793486382173e+05 -1.3365997237776374e+05 -1.4518608542063963e+05 -1.5582869341276566e+05 -1.6574324530070397e+05 -1.7508055694399800e+05 -1.8398920310682809e+05 -1.9261797342535507e+05 -2.0111848628687373e+05 -2.0964796446993080e+05 -2.1903484166740187e+05 -2.2886866072753348e+05 -2.3939331519328896e+05 -2.5088194797889903e+05 -2.6364581511234574e+05 -2.7804567956981878e+05 -2.9450683585261088e+05 -3.1353934366371558e+05 -3.3576617239691381e+05 -3.6196060103432840e+05 -3.9310852679846901e+05 -4.3047062816151493e+05 -4.7569499610255565e+05 -5.3101820828564395e+05 -5.9946667922838230e+05 -6.8525012544452189e+05 -7.9428454117889481e+05 -9.3498226442600146e+05 -1.1192865628192211e+06 -1.3638044855208951e+06 -1.6905368217769321e+06 -2.1260613623282858e+06 -2.6979038774527102e+06 -3.4274371498847911e+06 -4.3207948577946248e+06 -5.3612664955886584e+06 -6.5070811041001445e+06 -7.6965818887342932e+06 -8.8585306421530675e+06 -9.9253692075560410e+06 -1.0844253710532149e+07 -1.1583715016772777e+07 -1.2136099527767567e+07 -1.2515636762944533e+07 -1.2751041734694740e+07 -1.2879003825442301e+07 -1.2935495974191230e+07 -1.2950225375507900e+07 -1.2943781244449981e+07 -1.2933049728847740e+07 -1.2919893347493652e+07 -1.2905461456047064e+07 -1.2889949207466366e+07 -1.2873818345499504e+07 -1.2856812027294228e+07 -1.2838929934989760e+07 -1.2819456655606002e+07 -1.2798613515780052e+07 -1.2776016669774549e+07 -1.2751366182869777e+07 -1.2724297563716570e+07 -1.2694400184943164e+07 -1.2661204092786724e+07 -1.2624186624212621e+07 -1.2582785805028709e+07 -1.2536364269306429e+07 -1.2484247910004903e+07 -1.2425711299561715e+07 -1.2360006283217039e+07 -1.2286382462231493e+07 -1.2204125523196835e+07 -1.2112779911252968e+07 -1.2011545404190065e+07 -1.1900429708760478e+07 -1.1779689847233519e+07 -1.1650272915738380e+07 -1.1513790514774395e+07 -1.1373310386161508e+07 -1.1233503919445597e+07 -1.1101327246810459e+07 -1.0986908513774525e+07 -1.0904658727508431e+07 -1.0875190883498605e+07 -1.0928107883643528e+07 -1.1106835273369262e+07 -1.1477158811205609e+07 -1.2143285773807084e+07 -1.3279829713498635e+07 4.6212609317379189e+05 +4.2048370099125286e-02 -1.6407603741585658e+05 -3.1085759400437131e+04 1.9701169933075763e+05 4.9239275686674152e+05 7.7981163949240127e+05 9.4625007619415969e+05 9.4090062017570622e+05 8.4724014879006101e+05 7.5067958231826790e+05 6.6834994560901145e+05 5.8984731107500871e+05 5.1369937821729918e+05 4.4198255843557557e+05 3.7539977722153743e+05 3.1373856405210978e+05 2.5736233335556768e+05 2.0652024242971663e+05 1.6085908271989590e+05 1.1987576906858505e+05 8.3094081851603056e+04 5.0097524421789407e+04 2.0819784873776800e+04 -2.1190064224314901e+03 -1.3305069762009256e+04 -2.2597272682981718e+04 -4.0081201446681385e+04 -5.9939789783679953e+04 -7.8462927144284826e+04 -9.5238788280627326e+04 -1.1042427893376774e+05 -1.2421268784675041e+05 -1.3678726201694339e+05 -1.4831995394277840e+05 -1.5897349843362076e+05 -1.6890374930693340e+05 -1.7826202781851173e+05 -1.8719752833999443e+05 -1.9585979054160923e+05 -2.0440133321649584e+05 -2.1298045323216394e+05 -2.2243173167251120e+05 -2.3234326538122710e+05 -2.4296122235284545e+05 -2.5456148317333238e+05 -2.6745861105632258e+05 -2.8201738622616837e+05 -2.9866801935255068e+05 -3.1792664221556840e+05 -3.4042381171635963e+05 -3.6694238556027663e+05 -3.9848062631554861e+05 -4.3631515369214560e+05 -4.8211499546606204e+05 -5.3814516785533854e+05 -6.0747045895808947e+05 -6.9435356735153461e+05 -8.0478379723304324e+05 -9.4727479317092674e+05 -1.1339064890947768e+06 -1.3814599175571690e+06 -1.7121342055396242e+06 -2.1526897123998255e+06 -2.7307507097096480e+06 -3.4676275313445297e+06 -4.3691868744162302e+06 -5.4182713898377223e+06 -6.5725763230279693e+06 -7.7699476116470397e+06 -8.9387787117628790e+06 -1.0011317548357621e+07 -1.0934685320970697e+07 -1.1677489198236579e+07 -1.2232220608433504e+07 -1.2613289195968285e+07 -1.2849593910318295e+07 -1.2978005941765225e+07 -1.3034655551369138e+07 -1.3049373290095761e+07 -1.3042831765059195e+07 -1.3032005275228253e+07 -1.3018743109313127e+07 -1.3004198985201377e+07 -1.2988567490511958e+07 -1.2972313063282462e+07 -1.2955176610272957e+07 -1.2937157667518167e+07 -1.2917535403172210e+07 -1.2896532798793066e+07 -1.2873763070917718e+07 -1.2848923990056532e+07 -1.2821648276237043e+07 -1.2791522160314534e+07 -1.2758072103304263e+07 -1.2720771389946008e+07 -1.2679053822751176e+07 -1.2632277126462972e+07 -1.2579762036471765e+07 -1.2520777575237174e+07 -1.2454569864091722e+07 -1.2380382763140945e+07 -1.2297496503845392e+07 -1.2205451994663950e+07 -1.2103442964612834e+07 -1.1991477147647606e+07 -1.1869813532441532e+07 -1.1739406461315500e+07 -1.1601879864857212e+07 -1.1460324955410009e+07 -1.1319448871423854e+07 -1.1186260917502709e+07 -1.1070966794859374e+07 -1.0988087736397941e+07 -1.0958394451481525e+07 -1.1011716309571983e+07 -1.1191811095380036e+07 -1.1564967885563070e+07 -1.2236191237623438e+07 -1.3381430437373793e+07 4.6777936665402830e+05 +4.2307524220123460e-02 -1.6710851030002945e+05 -3.4259387047716860e+04 1.9359704894843264e+05 4.8866441986127337e+05 7.7577544215292821e+05 9.4203265684909956e+05 9.3668457931277948e+05 8.4312033251739177e+05 7.4665984986625251e+05 6.6441572489878000e+05 5.8599512684436271e+05 5.0992723924440477e+05 4.3828611931597634e+05 3.7177382211211574e+05 3.1017800154615211e+05 2.5386157065318534e+05 2.0307331430374685e+05 1.5746031380025149e+05 1.1651994098443515e+05 7.9776404303852862e+04 4.6813569887084828e+04 1.7565133796064183e+04 -5.3514371465180939e+03 -1.6527832009277095e+04 -2.5813312981852381e+04 -4.3283617768616416e+04 -6.3127577698354471e+04 -8.1638930360893806e+04 -9.8406470157618489e+04 -1.1358719872271946e+05 -1.2737451005754714e+05 -1.3995181912441974e+05 -1.5149131901858799e+05 -1.6215606580488107e+05 -1.7210232495071212e+05 -1.8148193095527421e+05 -1.9044470690170967e+05 -1.9914095306742776e+05 -2.0772410095643668e+05 -2.1635353586196469e+05 -2.2587006675477527e+05 -2.3586032289429029e+05 -2.4657277578205994e+05 -2.5828607834447912e+05 -2.7131814257861441e+05 -2.8603781621601019e+05 -3.0288028733325651e+05 -3.2236783515541547e+05 -3.4513869796934089e+05 -3.7198543036683113e+05 -4.0391881231375347e+05 -4.4223160001925309e+05 -4.8861401314032282e+05 -5.4535985030382569e+05 -6.1557273133200232e+05 -7.0356895642834983e+05 -8.1541196646885795e+05 -9.5971778420133167e+05 -1.1487042974468134e+06 -1.3993278356610774e+06 -1.7339867538150384e+06 -2.1796237426119274e+06 -2.7639595409437111e+06 -3.5082380565820392e+06 -4.4180538271427751e+06 -5.4757977116963929e+06 -6.6386278684883211e+06 -7.8438920885889810e+06 -9.0196168084907085e+06 -1.0097858781070352e+07 -1.1025707458826097e+07 -1.1771849104328925e+07 -1.2328922185623350e+07 -1.2711517598637126e+07 -1.2948718601388626e+07 -1.3077578137212066e+07 -1.3134383516481541e+07 -1.3149088354986582e+07 -1.3142448426889319e+07 -1.3131526299086474e+07 -1.3118157695968557e+07 -1.3103500680836333e+07 -1.3087749253406703e+07 -1.3071370553471599e+07 -1.3054103221989520e+07 -1.3035946646272764e+07 -1.3016174545733461e+07 -1.2995011565711457e+07 -1.2972067968201293e+07 -1.2947039215836128e+07 -1.2919555224078320e+07 -1.2889199064105799e+07 -1.2855493591352962e+07 -1.2817908014304385e+07 -1.2775871889306920e+07 -1.2728738003185615e+07 -1.2675821904284045e+07 -1.2616387033370269e+07 -1.2549673755172836e+07 -1.2474920155825023e+07 -1.2391400980674939e+07 -1.2298653580456572e+07 -1.2195865602000285e+07 -1.2083044806157624e+07 -1.1960452159198388e+07 -1.1829049291069528e+07 -1.1690472532878138e+07 -1.1547836701622499e+07 -1.1405884889040258e+07 -1.1271679875221098e+07 -1.1155505361282792e+07 -1.1071993435155483e+07 -1.1042073421420297e+07 -1.1095802450738713e+07 -1.1277272445501113e+07 -1.1653278676366905e+07 -1.2329627537568828e+07 -1.3483611678303475e+07 4.7350141657212650e+05 +4.2568275569700817e-02 -1.7017734964709432e+05 -3.7469192865937279e+04 1.9014653583334299e+05 4.8490062831729278e+05 7.7170416951480368e+05 9.3778037242141948e+05 9.3243363359456265e+05 8.3896545953516266e+05 7.4260489575230773e+05 6.6044614513659116e+05 5.8210745179500920e+05 5.0611948259745649e+05 4.3455394338929682e+05 3.6811201926752587e+05 3.0658148794112209e+05 2.5032476131149929e+05 1.9959025118974940e+05 1.5402532762479753e+05 1.1312781800002851e+05 7.6422357435281752e+04 4.3493173393592617e+04 1.4273968674051594e+04 -8.6204531534448615e+03 -1.9787249554516588e+04 -2.9066088478016805e+04 -4.6522865993235915e+04 -6.6352306603034740e+04 -8.4851995394800804e+04 -1.0161134897966128e+05 -1.1678746828775993e+05 -1.3057385650021682e+05 -1.4315410102344851e+05 -1.5470064070104173e+05 -1.6537685878639651e+05 -1.7533943925457561e+05 -1.8474073778854744e+05 -1.9373121539564882e+05 -2.0246194365901957e+05 -2.1108727924818650e+05 -2.1976771039143804e+05 -2.2935035543191174e+05 -2.3942035419400840e+05 -2.5022851109659011e+05 -2.6205628649764715e+05 -2.7522498328352289e+05 -2.9010756756351789e+05 -3.0714426680822647e+05 -3.2686358397075551e+05 -3.4991153374369070e+05 -3.7709048719873227e+05 -4.0942389558709878e+05 -4.4822084921981819e+05 -4.9519301774749567e+05 -5.5266333008843719e+05 -6.2377470116746880e+05 -7.1289765915102500e+05 -8.2617061666959769e+05 -9.7231305553510401e+05 -1.1636821129105878e+06 -1.4174107301710215e+06 -1.7560973685027519e+06 -2.2068667813532311e+06 -2.7975340920287925e+06 -3.5492727511899467e+06 -4.4673999191959687e+06 -5.5338497045381814e+06 -6.7052399063844224e+06 -7.9184193293722440e+06 -9.1010487499244008e+06 -1.0184996529665254e+07 -1.1117323575422581e+07 -1.1866798045269370e+07 -1.2426207462634491e+07 -1.2810325098652357e+07 -1.3048418885723744e+07 -1.3177723458851160e+07 -1.3234682898498552e+07 -1.3249373588484403e+07 -1.3242634241315449e+07 -1.3231615807872884e+07 -1.3218140111254388e+07 -1.3203369543193316e+07 -1.3187497492707284e+07 -1.3170993808889056e+07 -1.3153594851300860e+07 -1.3135299855966808e+07 -1.3115377063470511e+07 -1.3094052791826798e+07 -1.3070934331677593e+07 -1.3045714824531946e+07 -1.3018021365297476e+07 -1.2987433847403884e+07 -1.2953471500302438e+07 -1.2915599432051791e+07 -1.2873242929847198e+07 -1.2825749813820496e+07 -1.2772430415672179e+07 -1.2712542562578075e+07 -1.2645320829809805e+07 -1.2569997496524496e+07 -1.2485841790806308e+07 -1.2392387484485645e+07 -1.2288816108694708e+07 -1.2175135450792430e+07 -1.2051608465955390e+07 -1.1919204113360072e+07 -1.1779571195480933e+07 -1.1635848268766643e+07 -1.1492814583778551e+07 -1.1357586700706379e+07 -1.1240526767154062e+07 -1.1156378358797045e+07 -1.1126230321470184e+07 -1.1180368847601695e+07 -1.1363221905729625e+07 -1.1742093851729969e+07 -1.2423597496595971e+07 -1.3586376523471175e+07 4.7929307254921133e+05 +4.2830633991957551e-02 -1.7328300997558961e+05 -4.0715627379059544e+04 1.8665971558859493e+05 4.8110092832778598e+05 7.6759737517605792e+05 9.3349277166708268e+05 9.2814733086408791e+05 8.3477507290266710e+05 7.3851427018058300e+05 6.5644075427364314e+05 5.7818383474590408e+05 5.0227565720686567e+05 4.3078557981516107e+05 3.6441391805441026e+05 3.0294857282077335e+05 2.4675145500175757e+05 1.9607060278826082e+05 1.5055367387179693e+05 1.0969894968032537e+05 7.3031490625857245e+04 4.0135884056844065e+04 1.0945838274910990e+04 -1.1926506097145571e+04 -2.3083774506289843e+04 -3.2356051837535859e+04 -4.9799399554902870e+04 -6.9614430909128161e+04 -8.8102577841632257e+04 -1.0485388175813650e+05 -1.2002554632230250e+05 -1.3381118785806376e+05 -1.4639457074430629e+05 -1.5794838478197370e+05 -1.6863634641466473e+05 -1.7861556506310054e+05 -1.8803892562827558e+05 -1.9705753636250712e+05 -2.0582325098375630e+05 -2.1449136393039383e+05 -2.2322348105147929e+05 -2.3287311254730783e+05 -2.4302388668554777e+05 -2.5392897057004008e+05 -2.6587266751002346e+05 -2.7917971389993594e+05 -2.9422724571896845e+05 -3.1146059257232974e+05 -3.3141455835480028e+05 -3.5474303033888113e+05 -3.8225831711645972e+05 -4.1499669697015540e+05 -4.5428379428212548e+05 -5.0185298987611989e+05 -5.6005669491755322e+05 -6.3207758809290873e+05 -7.2234105871725117e+05 -8.3706133466044301e+05 -9.8506244698748796e+05 -1.1788420854817522e+06 -1.4357111197274325e+06 -1.7784689829346514e+06 -2.2344221907796031e+06 -2.8314781186383776e+06 -3.5907356750213560e+06 -4.5172293861276992e+06 -5.5924316413344843e+06 -6.7724166292599235e+06 -7.9935333678095639e+06 -9.1830783755884189e+06 -1.0272734438570889e+07 -1.1209537141555477e+07 -1.1962339350253318e+07 -1.2524079661342382e+07 -1.2909714842074521e+07 -1.3148697859346980e+07 -1.3278444971892193e+07 -1.3335556744539719e+07 -1.3350232027020805e+07 -1.3343392237809153e+07 -1.3332276827065144e+07 -1.3318693377006270e+07 -1.3303808590536082e+07 -1.3287815222990150e+07 -1.3271185840295570e+07 -1.3253654504981210e+07 -1.3235220299181914e+07 -1.3215145954408756e+07 -1.3193659470345620e+07 -1.3170365149235293e+07 -1.3144953798267843e+07 -1.3117049675670443e+07 -1.3086229479010521e+07 -1.3052008791201044e+07 -1.3013848595557643e+07 -1.2971169887048498e+07 -1.2923315490200559e+07 -1.2869590490265250e+07 -1.2809247068819031e+07 -1.2741513978573509e+07 -1.2665617658620397e+07 -1.2580821788381245e+07 -1.2486656539523203e+07 -1.2382297293788616e+07 -1.2267751864638522e+07 -1.2143285207560679e+07 -1.2009873652786717e+07 -1.1869178545341754e+07 -1.1724362316682432e+07 -1.1580240582767216e+07 -1.1443983990157990e+07 -1.1326033581952242e+07 -1.1241245057556475e+07 -1.1210867694974652e+07 -1.1265418055885457e+07 -1.1449662073574450e+07 -1.1831416095776105e+07 -1.2518103954629326e+07 -1.3689728078556592e+07 4.8515517408130621e+05 +4.3094609391665400e-02 -1.7642594685727113e+05 -4.3999147272629663e+04 1.8313612521904311e+05 4.7726486349006137e+05 7.6345459456609027e+05 9.2916938052772370e+05 9.2382520946477784e+05 8.3054871571676095e+05 7.3438751608170394e+05 6.5239909506428509e+05 5.7422381865299167e+05 4.9839530629858881e+05 4.2698057203749573e+05 3.6067906217668077e+05 2.9927880017148971e+05 2.4314119579935257e+05 1.9251391320114731e+05 1.4704489660680891e+05 1.0623287997558004e+05 6.9603347637649975e+04 3.6741245371697820e+04 7.5802857407707133e+03 -1.5270053262331188e+04 -2.6417864612951897e+04 -3.5683661377050536e+04 -5.3113677549735869e+04 -7.2914410701897068e+04 -9.1391138984923091e+04 -1.0813453120944508e+05 -1.2330189724460742e+05 -1.3708697056253013e+05 -1.4967369709292799e+05 -1.6123502286190836e+05 -1.7193500357381158e+05 -1.8193118111437644e+05 -1.9137697773012388e+05 -2.0042415835299913e+05 -2.0922536979231078e+05 -2.1793685701219345e+05 -2.2672135834561789e+05 -2.3643885934770931e+05 -2.4667145433047909e+05 -2.5767470321524332e+05 -2.6973578821373801e+05 -2.8318292236810649e+05 -2.9839746364784573e+05 -3.1582990729783184e+05 -3.3602143630740192e+05 -3.5963390787112108e+05 -3.8748969060898386e+05 -4.2063804745771585e+05 -4.6042133923862176e+05 -5.0859492222661409e+05 -5.6754104590437782e+05 -6.4048262672950653e+05 -7.3190055524798448e+05 -8.4808572653171851e+05 -9.9796782043100335e+05 -1.1941863903887377e+06 -1.4542315515721287e+06 -1.8011045621777787e+06 -2.2622933671186217e+06 -2.8657954114966979e+06 -3.6326309224091419e+06 -4.5675464960239669e+06 -5.6515478247890789e+06 -6.8401622564021861e+06 -8.0692382617671490e+06 -9.2657095469276421e+06 -1.0361076172663527e+07 -1.1302351647565143e+07 -1.2058476367376214e+07 -1.2622542022208823e+07 -1.3009689993387004e+07 -1.3249558636623211e+07 -1.3379745759773562e+07 -1.3437008119876016e+07 -1.3451666725133138e+07 -1.3444725463890189e+07 -1.3433512400222434e+07 -1.3419820533082742e+07 -1.3404820859104594e+07 -1.3388705476785582e+07 -1.3371949676427247e+07 -1.3354285207787406e+07 -1.3335710996427611e+07 -1.3315484234488942e+07 -1.3293834612273622e+07 -1.3270363426582832e+07 -1.3244759136959935e+07 -1.3216643148770811e+07 -1.3185588945439108e+07 -1.3151108442742191e+07 -1.3112658474838294e+07 -1.3069655721170837e+07 -1.3021437981654927e+07 -1.2967305065159151e+07 -1.2906503475400668e+07 -1.2838256109340746e+07 -1.2761783532622620e+07 -1.2676343844590606e+07 -1.2581463595255708e+07 -1.2476311983144965e+07 -1.2360896847447751e+07 -1.2235485155344177e+07 -1.2101060650211200e+07 -1.1959297291215977e+07 -1.1813381521080608e+07 -1.1668165528848391e+07 -1.1530874355308371e+07 -1.1412028390467402e+07 -1.1326596096883355e+07 -1.1295988100458702e+07 -1.1350952646568418e+07 -1.1536595562060671e+07 -1.1921248108635206e+07 -1.2613149768516906e+07 -1.3793669467788296e+07 4.9108857065438741e+05 +4.3360211734641566e-02 -1.7960662102755150e+05 -4.7320215221142134e+04 1.7957530276038669e+05 4.7339196734017896e+05 7.5927536983147159e+05 9.2480975928143132e+05 9.1946680987014761e+05 8.2628591866824392e+05 7.3022416693946137e+05 6.4832070464801125e+05 5.7022694048000383e+05 4.9447796731588361e+05 4.2313845774947031e+05 3.5690698967340600e+05 2.9557170830607554e+05 2.3949352211762909e+05 1.8891972086300186e+05 1.4349853421397856e+05 1.0272914715283444e+05 6.6137466547211996e+04 3.3308795144253651e+04 4.1768485205015195e+03 -1.8651557632837161e+04 -2.9789983331040934e+04 -3.9049381132259659e+04 -5.6466164803991021e+04 -7.6252711809372602e+04 -9.4718145865302504e+04 -1.1145376582387561e+05 -1.2661699126694932e+05 -1.4040167686289109e+05 -1.5299195472151376e+05 -1.6456103242060938e+05 -1.7527331106635390e+05 -1.8528677211023416e+05 -1.9475538336935031e+05 -2.0383157600027550e+05 -2.1266880099378625e+05 -2.2142426674917160e+05 -2.3026185912668653e+05 -2.4004812355997114e+05 -2.5036359772776798e+05 -2.6146626486612900e+05 -2.7364622248126974e+05 -2.8723520392823924e+05 -3.0261884192232398e+05 -3.2025286162919085e+05 -3.4068490423542581e+05 -3.6458489538193296e+05 -3.9278538770913274e+05 -4.2634878833095310e+05 -4.6663439930019347e+05 -5.1541981975652761e+05 -5.7511749773626809e+05 -6.4899106686816481e+05 -7.4157756598840212e+05 -8.5924541786536609e+05 -1.0110310600415535e+06 -1.2097172283739261e+06 -1.4729746018447371e+06 -1.8240071033397582e+06 -2.2904837409500019e+06 -2.9004897966504404e+06 -3.6749626223710352e+06 -4.6183555496622948e+06 -5.7112025874438761e+06 -6.9084810339203188e+06 -8.1455380932413079e+06 -9.3489461474278755e+06 -1.0450025417380225e+07 -1.1395770603319928e+07 -1.2155212463733438e+07 -1.2721597804356083e+07 -1.3110253735509029e+07 -1.3351004350203270e+07 -1.3481628924173225e+07 -1.3539040107954523e+07 -1.3553680755507262e+07 -1.3546636985223234e+07 -1.3535325588971144e+07 -1.3521524637427708e+07 -1.3506409403236983e+07 -1.3490171304687813e+07 -1.3473288364038285e+07 -1.3455490002448075e+07 -1.3436774986208901e+07 -1.3416394937591117e+07 -1.3394581246553186e+07 -1.3370932187336512e+07 -1.3345133858387386e+07 -1.3316804795938559e+07 -1.3285515250981687e+07 -1.3250773451395435e+07 -1.3212032057533588e+07 -1.3168703410080159e+07 -1.3120120255075678e+07 -1.3065577094883297e+07 -1.3004314723008791e+07 -1.2935550147244271e+07 -1.2858498026268799e+07 -1.2772410847670462e+07 -1.2676811518302903e+07 -1.2570863019429656e+07 -1.2454573215575656e+07 -1.2328211097097935e+07 -1.2192767862820903e+07 -1.2049930157987775e+07 -1.1902908573582223e+07 -1.1756592080540610e+07 -1.1618260423400020e+07 -1.1498513792875813e+07 -1.1412434057473984e+07 -1.1381594111653468e+07 -1.1436975205900205e+07 -1.1624024999760205e+07 -1.2011592606526703e+07 -1.2708737812123904e+07 -1.3898203833983751e+07 4.9709412186073250e+05 +4.3627451048124953e-02 -1.8282549900864146e+05 -5.0679298624285017e+04 1.7597678246519374e+05 4.6948176969106938e+05 7.5505921492391231e+05 9.2041341051509883e+05 9.1507165647893422e+05 8.2198621412487223e+05 7.2602375397575856e+05 6.4420511406003439e+05 5.6619273127762624e+05 4.9052317201852705e+05 4.1925876901227637e+05 3.5309723289630143e+05 2.9182682978370076e+05 2.3580796663099801e+05 1.8528755846742933e+05 1.3991411932672816e+05 9.9187283727739210e+04 6.2633379676277000e+04 2.9838065422683925e+04 7.3505830056456159e+02 -2.2071487960860853e+04 -3.3200599894542196e+04 -4.2453680927410482e+04 -5.9857331943888399e+04 -7.9629805871726887e+04 -9.8084071350365601e+04 -1.1481205993571540e+05 -1.2997130446630345e+05 -1.4375578489710664e+05 -1.5634982419906426e+05 -1.6792689688842944e+05 -1.7865175568471829e+05 -1.8868282879000634e+05 -1.9817463791296803e+05 -2.0728029009464651e+05 -2.1615405172969605e+05 -2.2495410771900477e+05 -2.3384550667524562e+05 -2.4370143947175829e+05 -2.5410086419303226e+05 -2.6530421826084965e+05 -2.7760455131059536e+05 -2.9133716120903695e+05 -3.0689200881551940e+05 -3.2473011428058299e+05 -3.4540565705481888e+05 -3.6959673094702704e+05 -3.9814619810881984e+05 -4.3212977128171112e+05 -4.7292390099210804e+05 -5.2232869983157399e+05 -5.8278717883262446e+05 -6.5760417365382332e+05 -7.5137352551100915e+05 -8.7054205396528216e+05 -1.0242540725593730e+06 -1.2254368259783862e+06 -1.4919428758888738e+06 -1.8471796358763189e+06 -2.3189967775107846e+06 -2.9355651357334522e+06 -3.7177349388613063e+06 -4.6696608806728059e+06 -5.7714002918309122e+06 -6.9773772348488662e+06 -8.2224369684277000e+06 -9.4327920826443732e+06 -1.0539585878719345e+07 -1.1489797538354926e+07 -1.2252551025431929e+07 -1.2821250285562418e+07 -1.3211409269822488e+07 -1.3453038151090924e+07 -1.3584097585039306e+07 -1.3641655810468132e+07 -1.3656277209018171e+07 -1.3649129885612117e+07 -1.3637719473091599e+07 -1.3623808766107408e+07 -1.3608577295337131e+07 -1.3592215775359813e+07 -1.3575204967907671e+07 -1.3557271949687520e+07 -1.3538415324986478e+07 -1.3517881115558149e+07 -1.3495902420095349e+07 -1.3472074472985828e+07 -1.3446080998176372e+07 -1.3417537646385785e+07 -1.3386011417712877e+07 -1.3351006831315311e+07 -1.3311972349000756e+07 -1.3268315949276110e+07 -1.3219365294897215e+07 -1.3164409551492931e+07 -1.3102683769758949e+07 -1.3033399034733670e+07 -1.2955764064477324e+07 -1.2869025702985467e+07 -1.2772703192267222e+07 -1.2665953262135342e+07 -1.2548783802076401e+07 -1.2421465837142354e+07 -1.2284998064098932e+07 -1.2141079886665761e+07 -1.1992946181754176e+07 -1.1845522912150221e+07 -1.1706144837254882e+07 -1.1585492404755926e+07 -1.1498761535338279e+07 -1.1467688317544986e+07 -1.1523488335478550e+07 -1.1711953030786533e+07 -1.2102452321714006e+07 -1.2804870976313222e+07 -1.4003334338572316e+07 5.0317269751657703e+05 +4.3896337421154730e-02 -1.8608305310654209e+05 -5.4076871088614062e+04 1.7234008599638919e+05 4.6553379669215932e+05 7.5080567646805092e+05 9.1597987065432814e+05 9.1063927672803774e+05 8.1764912852767343e+05 7.2178580100333516e+05 6.4005184825543803e+05 5.6212071646615944e+05 4.8653044647872320e+05 4.1534103232685733e+05 3.4924931843292213e+05 2.8804369133205956e+05 2.3208405619254071e+05 1.8161695288974958e+05 1.3629117875841429e+05 9.5606816394574940e+04 5.9090613522347150e+04 2.6328582427323847e+04 -2.7455590649931728e+03 -2.5530318836998526e+04 -3.6650189384952224e+04 -4.5897036445309372e+04 -6.3287655465625685e+04 -8.3046170412049221e+04 -1.0148939420504430e+05 -1.1820989379458633e+05 -1.3336531885493506e+05 -1.4714977876326028e+05 -1.5974779208368555e+05 -1.7133310571880767e+05 -1.8207083028514986e+05 -1.9211984800336621e+05 -2.0163524289390538e+05 -2.1077080765777911e+05 -2.1968163545057803e+05 -2.2852690089873405e+05 -2.3747283077691382e+05 -2.4739934800987868e+05 -2.5788380784208063e+05 -2.6918913312662661e+05 -2.8161136291279236e+05 -2.9548940431719943e+05 -3.1121760039396287e+05 -3.2926233213498956e+05 -3.5018439829556685e+05 -3.7467016178466106e+05 -4.0357292127807951e+05 -4.3798185853700718e+05 -4.7929078229118499e+05 -5.2932259237425553e+05 -5.9055123151603853e+05 -6.6632322777123388e+05 -7.6128988592498167e+05 -8.8197730008665868e+05 -1.0376387875453026e+06 -1.2413474358181665e+06 -1.5111390085559224e+06 -1.8706252219013118e+06 -2.3478359769860464e+06 -2.9710253262259481e+06 -3.7609520709462254e+06 -4.7214668557200236e+06 -5.8321453305909419e+06 -7.0468551592294406e+06 -8.2999390177921783e+06 -9.5172512802599519e+06 -1.0629761283304514e+07 -1.1584436001788175e+07 -1.2350495457633760e+07 -1.2921502762319189e+07 -1.3313159816199312e+07 -1.3555663208652496e+07 -1.3687154880598286e+07 -1.3744858347340131e+07 -1.3759459194742065e+07 -1.3752207267029367e+07 -1.3740697150516530e+07 -1.3726676013299005e+07 -1.3711327625929914e+07 -1.3694841975527989e+07 -1.3677702570936790e+07 -1.3659634128312299e+07 -1.3640635087261634e+07 -1.3619945838220786e+07 -1.3597801197731858e+07 -1.3573793342975089e+07 -1.3547603609851196e+07 -1.3518844747138817e+07 -1.3487080485524997e+07 -1.3451811614439681e+07 -1.3412482372322258e+07 -1.3368496351910194e+07 -1.3319176103176508e+07 -1.3263805424536703e+07 -1.3201613591190375e+07 -1.3131805731632283e+07 -1.3053584589441869e+07 -1.2966191333027277e+07 -1.2869141517764477e+07 -1.2761585587640405e+07 -1.2643531456694277e+07 -1.2515252196304215e+07 -1.2377754043906661e+07 -1.2232749234395951e+07 -1.2083497069120603e+07 -1.1934960713721871e+07 -1.1794530255250528e+07 -1.1672966857090022e+07 -1.1585581141755795e+07 -1.1554273322386526e+07 -1.1610494652204009e+07 -1.1800382314856213e+07 -1.2193830002616551e+07 -1.2901552168995054e+07 -1.4109064161622506e+07 5.0932517778110254e+05 +4.4166881004951218e-02 -1.8937976774223259e+05 -5.7513411896194164e+04 1.6866473477492304e+05 4.6154757327706256e+05 7.4651425431646744e+05 9.1150865617945662e+05 9.0616918855684751e+05 8.1327417621852388e+05 7.1750982850763889e+05 6.3586042665763490e+05 5.5801041591037181e+05 4.8249931091649865e+05 4.1138476844506816e+05 3.4536276700073126e+05 2.8422181377648073e+05 2.2832131174997045e+05 1.7790742511195134e+05 1.3262923343241974e+05 9.1987265956522111e+04 5.5508688688050162e+04 2.2779866479884655e+04 -6.2654836253756994e+03 -2.9028530761207418e+04 -4.0139232802300547e+04 -4.9379929298513744e+04 -6.6757617806847978e+04 -8.6502288907567447e+04 -1.0493459916358354e+05 -1.2164775363650128e+05 -1.3679952245333904e+05 -1.5058414859164451e+05 -1.6318635099495202e+05 -1.7478015446134924e+05 -1.8553103385986979e+05 -1.9559833278485551e+05 -2.0513770608672150e+05 -2.1430364201930063e+05 -2.2325207199272796e+05 -2.3214317374200799e+05 -2.4114436780193786e+05 -2.5114239682236983e+05 -2.6171298967210349e+05 -2.7312158626374992e+05 -2.8566725279966008e+05 -2.9969255092969519e+05 -3.1559626061356638e+05 -3.3385019034279702e+05 -3.5502184020566824e+05 -3.7980594436946663e+05 -4.0906636658270704e+05 -4.4390592299189203e+05 -4.8573599276537943e+05 -5.3640254001765233e+05 -5.9841081217584724e+05 -6.7514952562902030e+05 -7.7132811708254099e+05 -8.9355284167403297e+05 -1.0511871576431673e+06 -1.2574513368844124e+06 -1.5305656645025492e+06 -1.8943469564970224e+06 -2.3770048748109858e+06 -3.0068743017273792e+06 -3.8046182530671372e+06 -4.7737778746770164e+06 -5.8934421265865900e+06 -7.1169191342293043e+06 -8.3780483961433852e+06 -9.6023276901383456e+06 -1.0720555378424030e+07 -1.1679689562473321e+07 -1.2449049184585979e+07 -1.3022358549852792e+07 -1.3415508613064334e+07 -1.3658882710676195e+07 -1.3790803967463886e+07 -1.3848650856754376e+07 -1.3863229839987101e+07 -1.3855872249681104e+07 -1.3844261737345833e+07 -1.3830129491333209e+07 -1.3814663503677806e+07 -1.3798053010051042e+07 -1.3780784274046365e+07 -1.3762579635187333e+07 -1.3743437365585234e+07 -1.3722592193434041e+07 -1.3700280662270794e+07 -1.3676091874669803e+07 -1.3649704764870802e+07 -1.3620729163161283e+07 -1.3588725512140956e+07 -1.3553190850530965e+07 -1.3513565168298600e+07 -1.3469247648841882e+07 -1.3419555699549882e+07 -1.3363767721139230e+07 -1.3301107180308565e+07 -1.3230773215119103e+07 -1.3151962560604291e+07 -1.3063910677440410e+07 -1.2966129412394898e+07 -1.2857762889192495e+07 -1.2738819045924874e+07 -1.2609573011977121e+07 -1.2471038608455395e+07 -1.2324940974548653e+07 -1.2174563975195324e+07 -1.2024908191098979e+07 -1.1883419351394355e+07 -1.1760939796320381e+07 -1.1672895503364464e+07 -1.1641351745695945e+07 -1.1697996788356274e+07 -1.1889315527298631e+07 -1.2285728413740667e+07 -1.2998784315157810e+07 -1.4215396501869049e+07 5.1555245327673643e+05 +4.4439092013299125e-02 -1.9271612267565550e+05 -6.0989406012440435e+04 1.6495024283809238e+05 4.5752260210630368e+05 7.4218445751166972e+05 9.0699928158072941e+05 9.0166089888406312e+05 8.0886087143453991e+05 7.1319534854189318e+05 6.3163036233053799e+05 5.5386134371121600e+05 4.7842927959075687e+05 4.0738949200577883e+05 3.4143709335060552e+05 2.8036071197799355e+05 2.2451924827001724e+05 1.7415849014891585e+05 1.2892779831169004e+05 8.8328147253886826e+04 5.1887119809774806e+04 1.9191431931800496e+04 -9.8252014047820630e+03 -3.2566610214667890e+04 -4.3668217136953936e+04 -5.2902847101288324e+04 -7.0267707418530204e+04 -8.9998650861816073e+04 -1.0842017700161957e+05 -1.2512613175713664e+05 -1.4027440936234858e+05 -1.5405939061850047e+05 -1.6666599968815185e+05 -1.7826854483573357e+05 -1.8903287161343868e+05 -1.9911879242873122e+05 -2.0868254158309867e+05 -2.1787931289266888e+05 -2.2686588765500457e+05 -2.3580346025924696e+05 -2.4486066078495674e+05 -2.5493114035962013e+05 -2.6558897764713038e+05 -2.7710216163279541e+05 -2.8977282387262728e+05 -3.0394722638568905e+05 -3.2002864141464041e+05 -3.3849437242362148e+05 -3.5991870385854936e+05 -3.8500484454374248e+05 -4.1462735340624145e+05 -4.4990284833420644e+05 -4.9226049371332093e+05 -5.4356959825751244e+05 -6.0636709144211316e+05 -6.8408437954923837e+05 -7.8148970679354202e+05 -9.0527038459632220e+05 -1.0649011588449588e+06 -1.2737508348229721e+06 -1.5502255385121619e+06 -1.9183479680337501e+06 -2.4065070419662534e+06 -3.0431160322139268e+06 -3.8487377552320198e+06 -4.8265983707871493e+06 -5.9552951330527989e+06 -7.1875735141925067e+06 -8.4567692826892063e+06 -9.6880252843680996e+06 -1.0811971932067472e+07 -1.1775561808953689e+07 -1.2548215649656385e+07 -1.3123820982133603e+07 -1.3518458917392083e+07 -1.3762699863388270e+07 -1.3895048020511940e+07 -1.3953036495237133e+07 -1.3967592290331149e+07 -1.3960127971978303e+07 -1.3948416367913848e+07 -1.3934172330782067e+07 -1.3918588055393642e+07 -1.3901852001962066e+07 -1.3884453196341306e+07 -1.3866111585281985e+07 -1.3846825270560479e+07 -1.3825823287102997e+07 -1.3803343914584666e+07 -1.3778973163485650e+07 -1.3752387552661607e+07 -1.3723193977265134e+07 -1.3690949573185757e+07 -1.3655147607143378e+07 -1.3615223795529895e+07 -1.3570572888609318e+07 -1.3520507121361502e+07 -1.3464299465968877e+07 -1.3401167547627363e+07 -1.3330304479780976e+07 -1.3250900954729421e+07 -1.3162186693039712e+07 -1.3063669810864432e+07 -1.2954488076916128e+07 -1.2834649452995518e+07 -1.2704431138154024e+07 -1.2564854580375571e+07 -1.2417657896683739e+07 -1.2266149655512085e+07 -1.2115368065928482e+07 -1.1972814815287739e+07 -1.1849413884348910e+07 -1.1760707262143491e+07 -1.1728926222319184e+07 -1.1785997391615976e+07 -1.1978755359076191e+07 -1.2378150335776379e+07 -1.3096570356890047e+07 -1.4322334576719040e+07 5.2185542521083273e+05 +4.4712980722933150e-02 -1.9609261253384795e+05 -6.4505346505462461e+04 1.6119611944228521e+05 4.5345839152545948e+05 7.3781581016323250e+05 9.0245123990763794e+05 8.9711391401483852e+05 8.0440872301300010e+05 7.0884186897669989e+05 6.2736116194569506e+05 5.4967300783876027e+05 4.7431986076406221e+05 4.0335471133930958e+05 3.3747180619216565e+05 2.7645989477547829e+05 2.2067737467493900e+05 1.7036965697977706e+05 1.2518638232678328e+05 8.4628969091461608e+04 4.8225415485119076e+04 1.5562787091491182e+04 -1.3425204475047867e+04 -3.6145049732404172e+04 -4.7237635442426443e+04 -5.6466283542412850e+04 -7.3818418838236714e+04 -9.3535751877987874e+04 -1.1194662461001593e+05 -1.2864552658532876e+05 -1.4379047983757991e+05 -1.5757600726007781e+05 -1.7018724312805285e+05 -1.8179878480718704e+05 -1.9257685503704569e+05 -2.0268174256587090e+05 -2.1227026986840920e+05 -2.2149834645391782e+05 -2.3052361527888745e+05 -2.3950830109614617e+05 -2.4862225950690082e+05 -2.5876613995775557e+05 -2.6951234678191977e+05 -2.8113145044204692e+05 -2.9392868651307182e+05 -3.0825406377973809e+05 -3.2451540282097930e+05 -3.4319557036753761e+05 -3.6487571925870702e+05 -3.9026763763146114e+05 -4.2025671127083205e+05 -4.5597352918005048e+05 -4.9886525830951612e+05 -5.5082483561064594e+05 -6.1442125435465737e+05 -6.9312911796195840e+05 -7.9177616103370208e+05 -9.1713165538344102e+05 -1.0787827907576566e+06 -1.2902482622336873e+06 -1.5701213558015148e+06 -1.9426314184788994e+06 -2.4363460852882578e+06 -3.0797545243127150e+06 -3.8933148832448600e+06 -4.8799328108364074e+06 -6.0177088337032720e+06 -7.2588226807841472e+06 -8.5361058811246846e+06 -9.7743480573453549e+06 -1.0904014732988402e+07 -1.1872056349544220e+07 -1.2647998315384228e+07 -1.3225893411988420e+07 -1.3622014004746858e+07 -1.3867117891474610e+07 -1.3999890233081169e+07 -1.4058018437600553e+07 -1.4072549709653452e+07 -1.4064977590600122e+07 -1.4053164194780400e+07 -1.4038807680386579e+07 -1.4023104426123971e+07 -1.4006242092421539e+07 -1.3988712475044254e+07 -1.3970233111662859e+07 -1.3950801930939754e+07 -1.3929642243209228e+07 -1.3906994073597439e+07 -1.3882440322798569e+07 -1.3855655080581414e+07 -1.3826242290287346e+07 -1.3793755762157669e+07 -1.3757684969706431e+07 -1.3717461330399137e+07 -1.3672475137525387e+07 -1.3622033423583427e+07 -1.3565403701335441e+07 -1.3501797721169142e+07 -1.3430402537646215e+07 -1.3350402765875958e+07 -1.3261022353865389e+07 -1.3161765664923044e+07 -1.3051764077932307e+07 -1.2931025577917049e+07 -1.2799829445423178e+07 -1.2659204798733043e+07 -1.2510902806579545e+07 -1.2358256881618116e+07 -1.2206343075714387e+07 -1.2062719352243690e+07 -1.1938391798567034e+07 -1.1849019075437853e+07 -1.1816999402429372e+07 -1.1874499125021337e+07 -1.2068704516815681e+07 -1.2471098565598132e+07 -1.3194913253381755e+07 -1.4429881622361802e+07 5.2823500549867982e+05 +4.4988557473925953e-02 -1.9950973144169233e+05 -6.8061729558679581e+04 1.5740186248559554e+05 4.4935444595142291e+05 7.3340780227827933e+05 8.9786404746585991e+05 8.9252773715415783e+05 7.9991722949507635e+05 7.0444888943139650e+05 6.2305232668264350e+05 5.4544491008566716e+05 4.7017055657985108e+05 3.9927992855041294e+05 3.3346640813131921e+05 2.7251886492246814e+05 2.1679519378372718e+05 1.6654042847816215e+05 1.2140448830305926e+05 8.0889234164911570e+04 4.4523078199576950e+04 1.1893434150961504e+04 -1.7065991029108882e+04 -3.9764347976949663e+04 -5.0847986909012077e+04 -6.0070738459093882e+04 -7.7410252763876633e+04 -9.7114093732718393e+04 -1.1551444506854958e+05 -1.3220644275753922e+05 -1.4734824036391766e+05 -1.6113450718742178e+05 -1.7375059256534334e+05 -1.8537138866239766e+05 -1.9616350198537126e+05 -2.0628770524016247e+05 -2.1590141790050743e+05 -2.2516127541962799e+05 -2.3422579432759041e+05 -2.4325824361531428e+05 -2.5242972057711316e+05 -2.6264796392238908e+05 -2.7348367922894063e+05 -2.8521005123473454e+05 -2.9813545867303381e+05 -3.1261370405670482e+05 -3.2905721303735912e+05 -3.4795448473877553e+05 -3.6989362545363785e+05 -3.9559510855492018e+05 -4.2595527996086766e+05 -4.6211887120394554e+05 -5.0555127174675988e+05 -5.5816933377076045e+05 -6.2257450053904380e+05 -7.0228508559416397e+05 -8.0218900416842464e+05 -9.2913840147706412e+05 -1.0928340768732845e+06 -1.3069459789642207e+06 -1.5902558723352961e+06 -1.9672005037245671e+06 -2.4665256477658213e+06 -3.1167938215789762e+06 -3.9383539789375504e+06 -4.9337856953291958e+06 -6.0806877428706316e+06 -7.3306710430352194e+06 -8.6160624196715150e+06 -9.8613000257827304e+06 -1.0996687590726431e+07 -1.1969176812360978e+07 -1.2748400663465772e+07 -1.3328579211012138e+07 -1.3726177169303494e+07 -1.3972140038103988e+07 -1.4105333816908358e+07 -1.4163599877065057e+07 -1.4178105280143918e+07 -1.4170424280526463e+07 -1.4158508388773277e+07 -1.4144038707158329e+07 -1.4128215779143337e+07 -1.4111226440836884e+07 -1.4093565265586041e+07 -1.4074947365611577e+07 -1.4055370493554326e+07 -1.4034052203841543e+07 -1.4011234276250683e+07 -1.3986496484047061e+07 -1.3959510474057371e+07 -1.3929877220970279e+07 -1.3897147190486964e+07 -1.3860806041530702e+07 -1.3820280867137643e+07 -1.3774957479665149e+07 -1.3724137678911634e+07 -1.3667083487155102e+07 -1.3603000746513752e+07 -1.3531070418169588e+07 -1.3450471005465813e+07 -1.3360420651180349e+07 -1.3260419943450000e+07 -1.3149593836286632e+07 -1.3027950337509327e+07 -1.2895770821011245e+07 -1.2754092119024772e+07 -1.2604678526309589e+07 -1.2450888441156702e+07 -1.2297835973836061e+07 -1.2153135683190593e+07 -1.2027876231891721e+07 -1.1937833615989851e+07 -1.1905573951568974e+07 -1.1963504667115482e+07 -1.2159165722833538e+07 -1.2564575916284112e+07 -1.3293815980992019e+07 -1.4538040893672280e+07 5.3469211688792217e+05 +4.5265832670078526e-02 -2.0296798309504421e+05 -7.1659058670481565e+04 1.5356697158043741e+05 4.4521026086156926e+05 7.2895992304402858e+05 8.9323719040907000e+05 8.8790186137643305e+05 7.9538588625737373e+05 7.0001590417180967e+05 6.1870335250125953e+05 5.4117654598698195e+05 4.6598086286664946e+05 3.9516463966684847e+05 3.2942039560660778e+05 2.6853711901427369e+05 2.1287220225448860e+05 1.6267030134161358e+05 1.1758161288529893e+05 7.7108438986316280e+04 4.0779604252184203e+04 8.1828691113204759e+03 -2.0748065455579122e+04 -4.3425009812892036e+04 -5.4499776938342555e+04 -6.3716717911450571e+04 -8.1043716128492335e+04 -1.0073418445135767e+05 -1.1912414772167806e+05 -1.3580939119298744e+05 -1.5094820373139068e+05 -1.6473540540303310e+05 -1.7735656561207090e+05 -1.8898687708575957e+05 -1.9979333675439956e+05 -2.0993720898691643e+05 -2.1957651918719662e+05 -2.2886863912698408e+05 -2.3797297096644912e+05 -2.4705384197809879e+05 -2.5628360751604219e+05 -2.6657718761356600e+05 -2.7750356436388992e+05 -2.8933856998008810e+05 -3.0239376596889144e+05 -3.1702679610723298e+05 -3.3365474854887620e+05 -3.5277182478038920e+05 -3.7497317064066371e+05 -4.0098805195108277e+05 -4.3172390964896692e+05 -4.6833979127426201e+05 -5.1231953138146194e+05 -5.6560418776932289e+05 -6.3082804438269511e+05 -7.1155364366956253e+05 -8.1272977916583815e+05 -9.4129239146642177e+05 -1.1070570648418884e+06 -1.3238463724102974e+06 -1.6106318751453958e+06 -1.9920584539002033e+06 -2.4970494088475518e+06 -3.1542380047405884e+06 -3.9838594203703129e+06 -4.9881615586547256e+06 -6.1442364056142336e+06 -7.4031230374409026e+06 -8.6966431511821821e+06 -9.9488852288043667e+06 -1.1089994335660579e+07 -1.2066926845342111e+07 -1.2849426194866015e+07 -1.3431881769713234e+07 -1.3830951723913595e+07 -1.4077769564970657e+07 -1.4211382002143964e+07 -1.4269784025195261e+07 -1.4284262202361261e+07 -1.4276471235032253e+07 -1.4264452139043931e+07 -1.4249868596390411e+07 -1.4233925295939332e+07 -1.4216808224811420e+07 -1.4199014741599781e+07 -1.4180257516546428e+07 -1.4160534123429300e+07 -1.4139056329203695e+07 -1.4116067677639952e+07 -1.4091144796739018e+07 -1.4063956876504472e+07 -1.4034101906071698e+07 -1.4001126987585114e+07 -1.3964513943822803e+07 -1.3923685517817842e+07 -1.3878023016907390e+07 -1.3826822977781832e+07 -1.3769341900992086e+07 -1.3704779686805436e+07 -1.3632311168313216e+07 -1.3551108702330815e+07 -1.3460384593529416e+07 -1.3359635632433515e+07 -1.3247980313032025e+07 -1.3125426665444411e+07 -1.2992258168812964e+07 -1.2849519413251927e+07 -1.2698987894219376e+07 -1.2544047137832638e+07 -1.2389849529527614e+07 -1.2244066544793613e+07 -1.2117869892777478e+07 -1.2027153572005384e+07 -1.1994652550646678e+07 -1.2053016711847240e+07 -1.2250141715144537e+07 -1.2658585217138601e+07 -1.3393281533248911e+07 -1.4646815664361238e+07 5.4122769308434462e+05 +4.5544816779312963e-02 -2.0646787715234928e+05 -7.5297843414821997e+04 1.4969093272242561e+05 4.4102532281201688e+05 7.2447166154550889e+05 8.8857015302282665e+05 8.8323577188047918e+05 7.9081417715763371e+05 6.9554240137861099e+05 6.1431372914202930e+05 5.3686740477261576e+05 4.6175026911711274e+05 3.9100833463044965e+05 3.2533325881112966e+05 2.6451414741022396e+05 2.0890789051516791e+05 1.5875876601692624e+05 1.1371724646210126e+05 7.3286073808604750e+04 3.6994483680090190e+04 4.4305817075162122e+03 -2.4471938414017586e+04 -4.7127546382271830e+04 -5.8193517218986752e+04 -6.7404734258282580e+04 -8.4719322176079761e+04 -1.0439653838351298e+05 -1.2277624825407426e+05 -1.3945488917057888e+05 -1.5459088911179645e+05 -1.6837922331744622e+05 -1.8100568631999646e+05 -1.9264577723822574e+05 -2.0346689015907381e+05 -2.1363078891202601e+05 -2.2329611386734867e+05 -2.3262098361404546e+05 -2.4176569814501193e+05 -2.5089565722727886e+05 -2.6018449084015560e+05 -2.7055439353191806e+05 -2.8157259887522273e+05 -2.9351762016233697e+05 -3.0670424177345593e+05 -3.2149399686487991e+05 -3.3830869422333321e+05 -3.5764830851976230e+05 -3.8011511228152004e+05 -4.0644727228993643e+05 -4.3756346102116164e+05 -4.7463721759096492e+05 -5.1917104688299802e+05 -5.7313050613721565e+05 -6.3918311521099845e+05 -7.2093617010314751e+05 -8.2340004782061698e+05 -9.5359541534192918e+05 -1.1214538267490913e+06 -1.3409518578194231e+06 -1.6312521826494767e+06 -2.0172085337069759e+06 -2.5279210847509983e+06 -3.1920911920009060e+06 -4.0298356220682273e+06 -5.0430649692595005e+06 -6.2083593978653243e+06 -7.4761831280828258e+06 -8.7778523531732708e+06 -1.0037107727956548e+07 -1.1183938819048334e+07 -1.2165310116310082e+07 -1.2951078429755623e+07 -1.3535804497449800e+07 -1.3936341000091635e+07 -1.4184009752347596e+07 -1.4318038037444724e+07 -1.4376574112012932e+07 -1.4391023695229255e+07 -1.4383121665760031e+07 -1.4370998653009480e+07 -1.4356300551654523e+07 -1.4340236176321346e+07 -1.4322990640235301e+07 -1.4305064094935918e+07 -1.4286166752128545e+07 -1.4266296003768208e+07 -1.4244657797680426e+07 -1.4221497450977998e+07 -1.4196388428488567e+07 -1.4168997449420188e+07 -1.4138919500386801e+07 -1.4105698300800869e+07 -1.4068811815729421e+07 -1.4027678412392206e+07 -1.3981674868924951e+07 -1.3930092428377615e+07 -1.3872182038142940e+07 -1.3807137622799385e+07 -1.3734127852534160e+07 -1.3652318902650734e+07 -1.3560917206706248e+07 -1.3459415735043526e+07 -1.3346926486216344e+07 -1.3223457512215944e+07 -1.3089294409399396e+07 -1.2945489569889234e+07 -1.2793833764953457e+07 -1.2637735791467829e+07 -1.2482386527949559e+07 -1.2335514689440649e+07 -1.2208375505235333e+07 -1.2116981647081451e+07 -1.2084237895985929e+07 -1.2143037968651999e+07 -1.2341635247503072e+07 -1.2753129313741760e+07 -1.3493312920867989e+07 -1.4756209226909041e+07 5.4784267887907044e+05 +4.5825520334067664e-02 -2.1000993045996816e+05 -7.8978600760298388e+04 1.4577323149616574e+05 4.3679911252913921e+05 7.1994250437405473e+05 8.8386240917151410e+05 8.7852895197319903e+05 7.8620158682711062e+05 6.9102786466031219e+05 6.0988293954103161e+05 5.3251696934471605e+05 4.5747825847877789e+05 3.8681049715740106e+05 3.2120448161172343e+05 2.6044943415654715e+05 2.0490174268329702e+05 1.5480530662227178e+05 1.0981087308867562e+05 6.9421622549083128e+04 3.3167200182279135e+04 6.3605533207733060e+02 -2.8238126911411284e+04 -5.0872475180982663e+04 -6.1929725802832851e+04 -7.1135306233511626e+04 -8.8437590538344113e+04 -1.0810167628040320e+05 -1.2647126876827673e+05 -1.4314346040595355e+05 -1.5827682213624343e+05 -1.7206648882720241e+05 -1.8469848525822774e+05 -1.9634862283487830e+05 -2.0718469961334273e+05 -2.1736898677162733e+05 -2.2706074879100488e+05 -2.3641886170180087e+05 -2.4560453567956673e+05 -2.5478425737076494e+05 -2.6413294814673619e+05 -2.7458017140591377e+05 -2.8569138685276819e+05 -2.9774782287353469e+05 -3.1106752731101378e+05 -3.2601597140480939e+05 -3.4301974341235042e+05 -3.6258466287599289e+05 -3.8532021721262613e+05 -4.1197358399400639e+05 -4.4347480540547677e+05 -4.8101208982044703e+05 -5.2610684038293979e+05 -5.8074941106742481e+05 -6.4764095747119724e+05 -7.3043405970574217e+05 -8.3420139097917418e+05 -9.6604928474404186e+05 -1.1360264593909783e+06 -1.3582648785915899e+06 -1.6521196449773491e+06 -2.0426540427328632e+06 -2.5591444287687005e+06 -3.2303575392817724e+06 -4.0762870352460216e+06 -5.0985005298057375e+06 -6.2730613265273357e+06 -7.5498558066796297e+06 -8.8596943278871141e+06 -1.0125971607303696e+07 -1.1278524913083795e+07 -1.2264330312993478e+07 -1.3053360907642709e+07 -1.3640350822543707e+07 -1.4042348348051362e+07 -1.4290863899047194e+07 -1.4425305189935260e+07 -1.4483973385953601e+07 -1.4498392996044969e+07 -1.4490378802730827e+07 -1.4478151156502126e+07 -1.4463337794859169e+07 -1.4447151638374409e+07 -1.4429776901282629e+07 -1.4411716535720950e+07 -1.4392678278237604e+07 -1.4372659335985160e+07 -1.4350859805819610e+07 -1.4327526787607884e+07 -1.4302230565020705e+07 -1.4274635372384056e+07 -1.4244333176738309e+07 -1.4210864295547957e+07 -1.4173702814361459e+07 -1.4132262698722193e+07 -1.4085916173275918e+07 -1.4033949156662291e+07 -1.3975607011551412e+07 -1.3910077652864918e+07 -1.3836523552836837e+07 -1.3754104670085443e+07 -1.3662021533871531e+07 -1.3559763271613488e+07 -1.3446435350955948e+07 -1.3322045845222382e+07 -1.3186882480057335e+07 -1.3042005493959058e+07 -1.2889219009487636e+07 -1.2731957238013174e+07 -1.2575449770222427e+07 -1.2427482885254854e+07 -1.2299395808870949e+07 -1.2207320560321478e+07 -1.2174332699348217e+07 -1.2233571162483292e+07 -1.2433649089428453e+07 -1.2848211067940041e+07 -1.3593913171833385e+07 -1.4866224892688919e+07 5.5453803027720470e+05 +4.6107953931694944e-02 -2.1359466311576409e+05 -8.2701852259227249e+04 1.4181334614283609e+05 4.3253110878018796e+05 7.1537192276506114e+05 8.7911344553550240e+05 8.7378087838211667e+05 7.8154759199272841e+05 6.8647177034729428e+05 6.0541045916740224e+05 5.2812471611043147e+05 4.5316430772373389e+05 3.8257060458342620e+05 3.1703354146731732e+05 2.5634245690898920e+05 2.0085323647954839e+05 1.5080940086783844e+05 1.0586197040977095e+05 6.5514562712951920e+04 2.9297231042297084e+04 -3.2012330419921145e+03 -3.2047154379274900e+04 -5.4660320136157214e+04 -6.5708927182590749e+04 -7.4908959023740317e+04 -9.2199047312236551e+04 -1.1185012537214825e+05 -1.3020973786250685e+05 -1.4687563512968065e+05 -1.6200653497369029e+05 -1.7579773639374183e+05 -1.8843549959290121e+05 -2.0009595422654424e+05 -2.1094730921009480e+05 -2.2115235105351786e+05 -2.3087097760117357e+05 -2.4026283307664940e+05 -2.4949005033722910e+05 -2.5872021746695560e+05 -2.6812956420073705e+05 -2.7865511827931803e+05 -2.8986053987793229e+05 -3.0202980690595030e+05 -3.1548427175366745e+05 -3.3059339304135373e+05 -3.4778859805608320e+05 -3.6758162376871012e+05 -3.9058926176162367e+05 -4.1756781156125676e+05 -4.4945882490255707e+05 -4.8746535923799529e+05 -5.3312794662566984e+05 -5.8846203858115408e+05 -6.5620283091150015e+05 -7.4004872438186104e+05 -8.4513540876146662e+05 -9.7865583321674354e+05 -1.1507770845614285e+06 -1.3757879065914550e+06 -1.6732371442931665e+06 -2.0683983157864190e+06 -2.5907232315748422e+06 -3.2690412405186947e+06 -4.1232181480129361e+06 -5.1544728773604501e+06 -6.3383468296244740e+06 -7.6241455926957875e+06 -8.9421734024067316e+06 -1.0215480973434433e+07 -1.1373756510896198e+07 -1.2363991143054347e+07 -1.3156277187307695e+07 -1.3745524192248400e+07 -1.4148977136764327e+07 -1.4398335322518600e+07 -1.4533186745281041e+07 -1.4591985113938587e+07 -1.4606373360588036e+07 -1.4598245894315816e+07 -1.4585912893692356e+07 -1.4570983566279748e+07 -1.4554674918543344e+07 -1.4537170240423374e+07 -1.4518975292372124e+07 -1.4499795319015725e+07 -1.4479627339724820e+07 -1.4457665568397665e+07 -1.4434158897083567e+07 -1.4408674410218926e+07 -1.4380873843104195e+07 -1.4350346126045767e+07 -1.4316628155197509e+07 -1.4279190114805458e+07 -1.4237441542618638e+07 -1.4190750085371081e+07 -1.4138396306412868e+07 -1.4079619951935206e+07 -1.4013602893048402e+07 -1.3939501368763933e+07 -1.3856469085700139e+07 -1.3763700635473715e+07 -1.3660681279691620e+07 -1.3546509919395247e+07 -1.3421194648752384e+07 -1.3285025334817113e+07 -1.3139070107027384e+07 -1.2985146515173987e+07 -1.2826714329587527e+07 -1.2669042073387686e+07 -1.2519973916149490e+07 -1.2390933558884334e+07 -1.2298173046319891e+07 -1.2264939687918166e+07 -1.2324619033807401e+07 -1.2526186026198452e+07 -1.2943833357873799e+07 -1.3695085331311125e+07 -1.4976865991892008e+07 5.6131471462787595e+05 +4.6392128234861121e-02 -2.1722260445461626e+05 -8.6468126878486437e+04 1.3781074152527048e+05 4.2822077570921427e+05 7.1075938688853546e+05 8.7432273129647388e+05 8.6899101232099405e+05 7.7685165705908427e+05 6.8187358618864627e+05 6.0089575635886274e+05 5.2369011523171380e+05 4.4880788726294303e+05 3.7828812771722116e+05 3.1281990935568657e+05 2.5219268684780723e+05 1.9676184314290987e+05 1.4677051997618316e+05 1.0187000958138154e+05 6.1564365315006944e+04 2.5384047050280009e+04 -7.0818129392937853e+03 -3.5899550752047639e+04 -5.8491611684263422e+04 -6.9531652370221098e+04 -7.8726224346862495e+04 -9.6004225138382011e+04 -1.1564241944678474e+05 -1.3399219070912278e+05 -1.5065195016633082e+05 -1.6578056641025757e+05 -1.7957350712356949e+05 -1.9221727316744553e+05 -2.0388831847830405e+05 -2.1475526980285897e+05 -2.2498143705828558e+05 -2.3472736081626534e+05 -2.4415346437406965e+05 -2.5342281591951166e+05 -2.6270411971089389e+05 -2.7217493102132739e+05 -2.8277983860141790e+05 -2.9408067711570492e+05 -3.0636420884608419e+05 -3.1995513231754961e+05 -3.3522694343091594e+05 -3.5261596878601797e+05 -3.7263993622671533e+05 -3.9592303186237410e+05 -4.2323078968579136e+05 -4.5551641251465864e+05 -4.9399798886714113e+05 -5.4023541312298982e+05 -5.9626953869744635e+05 -6.6487001076879306e+05 -7.4978159333917382e+05 -8.5620372079568566e+05 -9.9141691646383191e+05 -1.1657078493317938e+06 -1.3935234424566021e+06 -1.6946075951266082e+06 -2.0944447232286434e+06 -2.6226613215494002e+06 -3.3081465279200221e+06 -4.1706334856119161e+06 -5.2109866835431382e+06 -6.4042205764014497e+06 -7.6990570334323449e+06 -9.0252939286544733e+06 -1.0305639955532478e+07 -1.1469637526643798e+07 -1.2464296334140493e+07 -1.3259830846924355e+07 -1.3851328072786845e+07 -1.4256230753953230e+07 -1.4506427358811812e+07 -1.4641686007707095e+07 -1.4700612581364270e+07 -1.4714968063065998e+07 -1.4706726207364626e+07 -1.4694287127139434e+07 -1.4679241124565525e+07 -1.4662809271596961e+07 -1.4645173908464264e+07 -1.4626843611622961e+07 -1.4607521116918623e+07 -1.4587203252918072e+07 -1.4565078318427773e+07 -1.4541397007166805e+07 -1.4515723186131436e+07 -1.4487716077422444e+07 -1.4456961557313943e+07 -1.4422993081253069e+07 -1.4385276910195647e+07 -1.4343218127832947e+07 -1.4296179778527593e+07 -1.4243437039242076e+07 -1.4184224007762905e+07 -1.4117716477036700e+07 -1.4043064417444389e+07 -1.3959415248073019e+07 -1.3865957589337513e+07 -1.3762172814071812e+07 -1.3647153220787803e+07 -1.3520906924040273e+07 -1.3383725944440288e+07 -1.3236686347241592e+07 -1.3081619185727943e+07 -1.2922009934480270e+07 -1.2763166270470850e+07 -1.2612990581792751e+07 -1.2482991526121739e+07 -1.2389541855151204e+07 -1.2356061604369001e+07 -1.2416184338650052e+07 -1.2619248858904954e+07 -1.3039999078031925e+07 -1.3796832461820077e+07 -1.5088135873606460e+07 5.6817371075574693e+05 +4.6678053971949088e-02 -2.2089428919168588e+05 -9.0277960690882042e+04 1.3376488533852762e+05 4.2386758162451239e+05 7.0610435608950048e+05 8.6948972213934106e+05 8.6415882255106652e+05 7.7211324415326782e+05 6.7723277374688000e+05 5.9633829436741141e+05 5.1921263037119352e+05 4.4440846114513412e+05 3.7396253073535918e+05 3.0856304969999875e+05 2.4799958857980234e+05 1.9262702734540351e+05 1.4268812860348530e+05 9.7834455193396410e+04 5.7570494801462271e+04 2.1427112423662289e+04 -1.1006220461104796e+04 -3.9795852546171918e+04 -6.2366886850633986e+04 -7.3398438976046717e+04 -8.2587640531143203e+04 -9.9853663280886627e+04 -1.1947909893013735e+05 -1.3781916913551840e+05 -1.5447294901556268e+05 -1.6959946193070384e+05 -1.8339434884879403e+05 -1.9604435658368465e+05 -2.0772626945328678e+05 -2.1860913908781603e+05 -2.2885680698357031e+05 -2.3863046591479043e+05 -2.4809132926303046e+05 -2.5740341334954975e+05 -2.6673655352016643e+05 -2.7626964797178906e+05 -2.8695494431644358e+05 -2.9835242540583259e+05 -3.1075167316986207e+05 -3.2448077436149510e+05 -3.3991731267190824e+05 -3.5750257503314613e+05 -3.7776035450028942e+05 -4.0132232317163667e+05 -4.2896336338274606e+05 -4.6164847228104778e+05 -5.0061095362215419e+05 -5.4743030030726409e+05 -6.0417307559825946e+05 -6.7364378795399971e+05 -7.5963411329409142e+05 -8.6740796644682169e+05 -1.0043344126082404e+06 -1.1808209263425032e+06 -1.4114740159148525e+06 -1.7162339447048570e+06 -2.1207966713063996e+06 -2.6549625650783214e+06 -3.3476776722418549e+06 -4.2185376106342068e+06 -5.2680466547175366e+06 -6.4706872674565688e+06 -7.7745947040886786e+06 -9.1090602835045420e+06 -1.0396452705428781e+07 -1.1566171895498553e+07 -1.2565249633897884e+07 -1.3364025484015789e+07 -1.3957765949417284e+07 -1.4364112606139958e+07 -1.4615143362672707e+07 -1.4750806299980365e+07 -1.4809859092184598e+07 -1.4824180396165993e+07 -1.4815823027145216e+07 -1.4803277137875561e+07 -1.4788113746779203e+07 -1.4771557970755415e+07 -1.4753791174588719e+07 -1.4735324758531570e+07 -1.4715858932696953e+07 -1.4695390331753701e+07 -1.4673101307167899e+07 -1.4649244363828631e+07 -1.4623380133013684e+07 -1.4595165309326842e+07 -1.4564182697688190e+07 -1.4529962293256847e+07 -1.4491966411624836e+07 -1.4449595656104401e+07 -1.4402208443990817e+07 -1.4349074534614710e+07 -1.4289422345287135e+07 -1.4222421556258233e+07 -1.4147215833638223e+07 -1.4062946273285497e+07 -1.3968795490685055e+07 -1.3864240946777631e+07 -1.3748368301490678e+07 -1.3621185689262155e+07 -1.3482987296483025e+07 -1.3334857169316821e+07 -1.3178639941272333e+07 -1.3017846937193880e+07 -1.2857825210542491e+07 -1.2706535697715336e+07 -1.2575572497072285e+07 -1.2481429752452711e+07 -1.2447701206849853e+07 -1.2508269848579232e+07 -1.2712840404461274e+07 -1.3136711139249407e+07 -1.3899157643109191e+07 -1.5200037905864032e+07 5.7511600909400312e+05 +4.6965741937463293e-02 -2.2461026098465297e+05 -9.4131894782018237e+04 1.2967523566043959e+05 4.1947097167266306e+05 7.0140628189076448e+05 8.6461386578943033e+05 8.5928375239509472e+05 7.6733181027985062e+05 6.7254879155914998e+05 5.9173753051687207e+05 5.1469171828545601e+05 4.3996548682704434e+05 3.6959327113945078e+05 3.0426242028109787e+05 2.4376262004164688e+05 1.8844824711041932e+05 1.3856168476128860e+05 9.3754765190327729e+04 5.3532408969967320e+04 1.7425884727469500e+04 -1.4974998365387461e+04 -4.3736602940296303e+04 -6.6286689329601562e+04 -7.7309831289416703e+04 -8.6493752595801096e+04 -1.0374790770797771e+05 -1.2336071096641618e+05 -1.4169122170434686e+05 -1.5833918193208138e+05 -1.7346377379859283e+05 -1.8726081620925598e+05 -1.9991730728413697e+05 -2.1161036789401574e+05 -2.2250948168692671e+05 -2.3277903000738670e+05 -2.4258086741953509e+05 -2.5207700853250714e+05 -2.6143243075807104e+05 -2.7081811562388565e+05 -2.8041432184750319e+05 -2.9118105495584809e+05 -3.0267641935822176e+05 -3.1519285233850579e+05 -3.2906187148636102e+05 -3.4466519940880139e+05 -3.6244914513384138e+05 -3.8294364217365166e+05 -4.0678794118771225e+05 -4.3476638811565749e+05 -4.6785591940953699e+05 -5.0730524045613303e+05 -5.5471368169036333e+05 -6.1217382780331327e+05 -6.8252546924062900e+05 -7.6960774868173827e+05 -8.7874980505238380e+05 -1.0174102224524589e+06 -1.1961185140913881e+06 -1.4296421860982224e+06 -1.7381191732850021e+06 -2.1474576024823026e+06 -2.6876308668791037e+06 -3.3876389830701957e+06 -4.2669351232428579e+06 -5.3256575321344025e+06 -6.5377516348746521e+06 -7.8507632078795182e+06 -9.1934768688185085e+06 -1.0487923397642940e+07 -1.1663363573756244e+07 -1.2666854810034612e+07 -1.3468864715551572e+07 -1.4064841326431600e+07 -1.4472626118659398e+07 -1.4724486707493780e+07 -1.4860550963497037e+07 -1.4919727968865935e+07 -1.4934013671098491e+07 -1.4925539657419331e+07 -1.4912886225354740e+07 -1.4897604728391699e+07 -1.4880924307561755e+07 -1.4863025326350182e+07 -1.4844422016533043e+07 -1.4824812045432465e+07 -1.4804191850775708e+07 -1.4781737804177471e+07 -1.4757704231314536e+07 -1.4731648509333640e+07 -1.4703224791012216e+07 -1.4672012792448722e+07 -1.4637539028873991e+07 -1.4599261848336248e+07 -1.4556577347187052e+07 -1.4508839290953310e+07 -1.4455311989895670e+07 -1.4395218148565505e+07 -1.4327721299823524e+07 -1.4251958769705324e+07 -1.4167065294919774e+07 -1.4072217452135636e+07 -1.3966888767105404e+07 -1.3850158224998955e+07 -1.3722033979580367e+07 -1.3582812395322446e+07 -1.3433585544622649e+07 -1.3276211718361637e+07 -1.3114228238434311e+07 -1.2953021758643329e+07 -1.2800612095254237e+07 -1.2668679273886187e+07 -1.2573839519417549e+07 -1.2539861269053407e+07 -1.2600878350775665e+07 -1.2806963495619101e+07 -1.3233972468736639e+07 -1.4002063972288961e+07 -1.5312575475617271e+07 5.8214261181879835e+05 +4.7255202992437302e-02 -2.2837106207126266e+05 -9.8030478350007237e+04 1.2554124040896080e+05 4.1503040998863406e+05 6.9666461952292954e+05 8.5969462431247893e+05 8.5436526052891533e+05 7.6250680581001600e+05 6.6782109005913767e+05 5.8709291448900057e+05 5.1012682921354106e+05 4.3547841496112564e+05 3.6517979973989021e+05 2.9991747215377365e+05 2.3948123241439433e+05 1.8422495373044180e+05 1.3439063973764057e+05 8.9630390791377999e+04 4.9449558888727006e+04 1.3379814793211232e+04 -1.8988696147857987e+04 -4.7722351856235968e+04 -7.0251569565526952e+04 -8.1266380359687697e+04 -9.0445112332701799e+04 -1.0768751117308743e+05 -1.2728780949988074e+05 -1.4560890379572852e+05 -1.6225120600863299e+05 -1.7737406113971159e+05 -1.9117347073517297e+05 -2.0383668963564048e+05 -2.1554118150705186e+05 -2.2645686923340673e+05 -2.3674868237297705e+05 -2.4657914698341870e+05 -2.5611109017768002e+05 -2.6551046357171523e+05 -2.7494941015199228e+05 -2.8460956696778408e+05 -2.9545879772997077e+05 -3.0705330144627544e+05 -3.1968840689652070e+05 -3.3369910563521058e+05 -3.4947131093555823e+05 -3.6745641643951705e+05 -3.8819057227800129e+05 -4.1232070137128932e+05 -4.4064072992164630e+05 -4.7413968041553325e+05 -5.1408184850313986e+05 -5.6208664402058197e+05 -6.2027298834400077e+05 -6.9151637745864305e+05 -7.7970398186848650e+05 -8.9023091615808324e+05 -1.0306462697459930e+06 -1.2116028372271731e+06 -1.4480305418646843e+06 -1.7602662944910603e+06 -2.1744309957750072e+06 -2.7206701703110607e+06 -3.4280348090981357e+06 -4.3158306613988793e+06 -5.3838240921192719e+06 -6.6054184423268447e+06 -7.9275671761078481e+06 -9.2785481115287412e+06 -1.0580056229440173e+07 -1.1761216538805323e+07 -1.2769115650333129e+07 -1.3574352177914666e+07 -1.4172557727195011e+07 -1.4581774735691018e+07 -1.4834460785427364e+07 -1.4970923358293010e+07 -1.5030222552479465e+07 -1.5044471217600269e+07 -1.5035879420419408e+07 -1.5023117707510665e+07 -1.5007717383370848e+07 -1.4990911592071341e+07 -1.4972879669751631e+07 -1.4954138687453488e+07 -1.4934383752601981e+07 -1.4913611102830211e+07 -1.4890991097334834e+07 -1.4866779892145641e+07 -1.4840531591839865e+07 -1.4811897792893320e+07 -1.4780455105068795e+07 -1.4745726543913577e+07 -1.4707166467604846e+07 -1.4664166438860459e+07 -1.4616075546578536e+07 -1.4562152620332876e+07 -1.4501614619503545e+07 -1.4433618894619806e+07 -1.4357296395689920e+07 -1.4271775464135915e+07 -1.4176226603752246e+07 -1.4070119381700410e+07 -1.3952526071984997e+07 -1.3823454847143557e+07 -1.3683204262134627e+07 -1.3532874461146012e+07 -1.3374337469973834e+07 -1.3211156755166106e+07 -1.3048758795898940e+07 -1.2895222621601919e+07 -1.2762314674429120e+07 -1.2666773952793399e+07 -1.2632544580184314e+07 -1.2694012648007993e+07 -1.2901620980992580e+07 -1.3331786010070505e+07 -1.4105554563809646e+07 -1.5425751988785742e+07 5.8925453298521740e+05 +4.7546448064843809e-02 -2.3217725197981711e+05 -1.0197426564962948e+05 1.2136234360281724e+05 4.1054533098673646e+05 6.9187881728497962e+05 8.5473143045704847e+05 8.4940278823315457e+05 7.5763767412018008e+05 6.6304910900337296e+05 5.8240388891964196e+05 5.0551740681526961e+05 4.3094668931654509e+05 3.6072156059602421e+05 2.9552764956882823e+05 2.3515487005567385e+05 1.7995659168654378e+05 1.3017443801667771e+05 8.5460776408515463e+04 4.5321388814809034e+04 9.2883466370903407e+03 -2.3047870123962453e+04 -5.1753656041221271e+04 -7.4262084835250731e+04 -8.5268644078730445e+04 -9.4442278388089879e+04 -1.1167303329795659e+05 -1.3126095535800423e+05 -1.4957277769028195e+05 -1.6620958525933683e+05 -1.8133089002521682e+05 -1.9513288093115599e+05 -2.0780307501327604e+05 -2.1951928504736538e+05 -2.3045188045570956e+05 -2.4076634747549472e+05 -2.5062589347617686e+05 -2.6019416948746637e+05 -2.6963811460099363e+05 -2.7913104872555914e+05 -2.8885600526722905e+05 -2.9978880762270140e+05 -3.1148372210392606e+05 -3.2423900556996476e+05 -3.3839316719587625e+05 -3.5433636330236809e+05 -3.7252513542654068e+05 -3.9350192740703822e+05 -4.1792142926569394e+05 -4.4658726554130035e+05 -4.8050069325706508e+05 -5.2094178922813083e+05 -5.6955028744529944e+05 -6.2847176493763016e+05 -7.0061785168407229e+05 -7.8992431336951978e+05 -9.0185299975851527e+05 -1.0440445014504030e+06 -1.2272761468515017e+06 -1.4666417021183965e+06 -1.7826783556562120e+06 -2.2017203671051357e+06 -2.7540844576920723e+06 -3.4688695383878592e+06 -4.3652289010748435e+06 -5.4425511462352024e+06 -6.6736924851914197e+06 -8.0050112682410311e+06 -9.3642784636819549e+06 -1.0672855420841346e+07 -1.1859734789186394e+07 -1.2872035962688675e+07 -1.3680491526993113e+07 -1.4280918694142619e+07 -1.4691561920284269e+07 -1.4945069007313263e+07 -1.5081926863032615e+07 -1.5141346202651490e+07 -1.5155556383950762e+07 -1.5146845656920249e+07 -1.5133974920797665e+07 -1.5118455044116087e+07 -1.5101523152754532e+07 -1.5083357529164206e+07 -1.5064478091525206e+07 -1.5044577370067641e+07 -1.5023651399146948e+07 -1.5000864492841132e+07 -1.4976474647164172e+07 -1.4950032675524775e+07 -1.4921187603612803e+07 -1.4889512917217003e+07 -1.4854528112324115e+07 -1.4815683534838503e+07 -1.4772366186974904e+07 -1.4723920456027228e+07 -1.4669599659116762e+07 -1.4608614977845494e+07 -1.4540117545306461e+07 -1.4463231899302356e+07 -1.4377079949652726e+07 -1.4280826093038874e+07 -1.4173935914495355e+07 -1.4055474940267682e+07 -1.3925451361135259e+07 -1.3784165934974873e+07 -1.3632726923560355e+07 -1.3473020165569859e+07 -1.3308635420631569e+07 -1.3145039219479604e+07 -1.2990370139848690e+07 -1.2856481532270566e+07 -1.2760235864961466e+07 -1.2725753945002751e+07 -1.2787675558717340e+07 -1.2996815725101916e+07 -1.3430154723284891e+07 -1.4209632549488867e+07 -1.5539570870305736e+07 5.9645279866473528e+05 +4.7839488150007208e-02 -2.3602939340632691e+05 -1.0596382108468383e+05 1.1713798336799296e+05 4.0601517677035718e+05 6.8704829012601799e+05 8.4972372241715388e+05 8.4439576918018993e+05 7.5272384783830820e+05 6.5823228334369091e+05 5.7766989002968499e+05 5.0086288747370115e+05 4.2636974672918924e+05 3.5621799090448796e+05 2.9109238990833494e+05 2.3078297043697385e+05 1.7564259856946827e+05 1.2591251719576080e+05 8.1245359563669015e+04 4.1147336110726865e+04 5.1509173769945046e+03 -2.7153083512106012e+04 -5.5831079150689824e+04 -7.8318799331218484e+04 -8.9317187264062435e+04 -9.8485816346769861e+04 -1.1570504065530346e+05 -1.3528071633453568e+05 -1.5358341265302652e+05 -1.7021489070333538e+05 -1.8533483355672538e+05 -1.9913962236111966e+05 -2.1181704188615203e+05 -2.2354526040479259e+05 -2.3449510126504386e+05 -2.4483261594879942e+05 -2.5472170307359329e+05 -2.6432684913483582e+05 -2.7381599413223966e+05 -2.8336365054694714e+05 -2.9315426638855727e+05 -3.0417172748526785e+05 -3.1596833982231334e+05 -3.2884532536673197e+05 -3.4314475510301295e+05 -3.5926108142148209e+05 -3.7765605780620495e+05 -3.9887849983431067e+05 -4.2359096062137926e+05 -4.5260688254932861e+05 -4.8693990747605410e+05 -5.2788608657831617e+05 -5.7710572567145922e+05 -6.3677138016620104e+05 -7.0983124744042347e+05 -8.0027026206072862e+05 -9.1361777654127381e+05 -1.0576068880133179e+06 -1.2431407208107407e+06 -1.4854783161430955e+06 -1.8053584381660074e+06 -2.2293292696298058e+06 -2.7878777506301049e+06 -3.5101475986632123e+06 -4.4151345564943049e+06 -5.5018435414434811e+06 -6.7425785906995200e+06 -8.0831001720231473e+06 -9.4506724024915360e+06 -1.0766325214741677e+07 -1.1958922344665736e+07 -1.2975619575126996e+07 -1.3787286438142948e+07 -1.4389927788866147e+07 -1.4801991154412001e+07 -1.5056314802788127e+07 -1.5193564875056928e+07 -1.5253102297676129e+07 -1.5267272537019022e+07 -1.5258441726267369e+07 -1.5245461220176710e+07 -1.5229821061574515e+07 -1.5212762336581279e+07 -1.5194462247509507e+07 -1.5175443567429643e+07 -1.5155396232074434e+07 -1.5134316069345880e+07 -1.5111361315247644e+07 -1.5086791815511709e+07 -1.5060155073685095e+07 -1.5031097530081075e+07 -1.4999189528779591e+07 -1.4963947026249744e+07 -1.4924816333568498e+07 -1.4881179865450222e+07 -1.4832377282493535e+07 -1.4777656357414873e+07 -1.4716222461228197e+07 -1.4647220474343134e+07 -1.4569768485930094e+07 -1.4482981937801022e+07 -1.4386019084992366e+07 -1.4278341506767265e+07 -1.4159007944864206e+07 -1.4028026607768795e+07 -1.3885700468722483e+07 -1.3733145953220295e+07 -1.3572262791124724e+07 -1.3406667184348442e+07 -1.3241865942675447e+07 -1.3086057528979501e+07 -1.2951182696732651e+07 -1.2854228083884431e+07 -1.2819492183848785e+07 -1.2881869916939802e+07 -1.3092550608360618e+07 -1.3529081584823132e+07 -1.4314301078531634e+07 -1.5654035564109748e+07 6.0373844708421838e+05 +4.8134334311018698e-02 -2.3992805519012868e+05 -1.0999971158975198e+05 1.1286758938718907e+05 4.0143936794162414e+05 6.8217248297340865e+05 8.4467092523033661e+05 8.3934362476739648e+05 7.4776475461141020e+05 6.5337004260776960e+05 5.7289034797470097e+05 4.9616270031001081e+05 4.2174701707254082e+05 3.5166852087881078e+05 2.8661112360308890e+05 2.2636496408376753e+05 1.7128240500098126e+05 1.2160430790020744e+05 7.6983570803867042e+04 3.6926831160222537e+04 9.6695714854082735e+02 -3.1304906517578780e+04 -5.9955191832491022e+04 -8.2422284245778996e+04 -9.3412581743335439e+04 -1.0257629881593186e+05 -1.1978410685456883e+05 -1.3934766727517400e+05 -1.5764138501808391e+05 -1.7426770045054940e+05 -1.8938647195084518e+05 -2.0319427773425294e+05 -2.1587917590329080e+05 -2.2761969668997492e+05 -2.3858712484218413e+05 -2.4894808575356001e+05 -2.5886717934500318e+05 -2.6850973926515249e+05 -2.7804472001731343e+05 -2.8764784249409888e+05 -2.9750498777688987e+05 -3.0860820813360828e+05 -3.2050782124754193e+05 -3.3350805167687556e+05 -3.4795457694343862e+05 -3.6424619917565049e+05 -3.8284994863978843e+05 -4.0432109163015446e+05 -4.2933014151916484e+05 -4.5870047948593565e+05 -4.9345828433894675e+05 -5.3491577713284444e+05 -5.8475408613313886e+05 -6.4517307165396668e+05 -7.1915793689203612e+05 -8.1074336540527712e+05 -9.2552698812849808e+05 -1.0713354236377028e+06 -1.2591988640057896e+06 -1.5045430639239412e+06 -1.8283096578026204e+06 -2.2572612940893895e+06 -2.8220541103286706e+06 -3.5518734575866684e+06 -4.4655523803315759e+06 -5.5617061602781182e+06 -6.8120816180305565e+06 -8.1618386035135724e+06 -9.5377344304364324e+06 -1.0860469876869861e+07 -1.2058783246215202e+07 -1.3079870335884480e+07 -1.3894740606285192e+07 -1.4499588592072017e+07 -1.4913065938952412e+07 -1.5168201620267469e+07 -1.5305840810433071e+07 -1.5365494234465301e+07 -1.5379623062314838e+07 -1.5370671006341692e+07 -1.5357579979180826e+07 -1.5341818805213638e+07 -1.5324632509025175e+07 -1.5306197186131842e+07 -1.5287038472305594e+07 -1.5266843691337038e+07 -1.5245608461454479e+07 -1.5222484907520896e+07 -1.5197734734723384e+07 -1.5170902117950767e+07 -1.5141630897505429e+07 -1.5109488257902229e+07 -1.5073986596034387e+07 -1.5034568165481716e+07 -1.4990610766294925e+07 -1.4941449307207353e+07 -1.4886325984331494e+07 -1.4824440325177865e+07 -1.4754930921987524e+07 -1.4676909378747866e+07 -1.4589484632497426e+07 -1.4491808762115289e+07 -1.4383339317192243e+07 -1.4263128218066484e+07 -1.4131183690332904e+07 -1.3987810935216228e+07 -1.3834134588153724e+07 -1.3672068349086560e+07 -1.3505255012149360e+07 -1.3339241894840207e+07 -1.3182287683870796e+07 -1.3046421032860475e+07 -1.2948753453190159e+07 -1.2913762132668462e+07 -1.2976598572435800e+07 -1.3188828527096109e+07 -1.3628569587579612e+07 -1.4419563317571597e+07 -1.5769149533219077e+07 6.1111252876645711e+05 +4.8430997679153952e-02 -2.4387380775945706e+05 -1.1408251457711354e+05 1.0855058445914408e+05 3.9681733237709745e+05 6.7725080683845025e+05 8.3957245518102963e+05 8.3424578581737448e+05 7.4275981572435494e+05 6.4846180984146893e+05 5.6806468451964087e+05 4.9141626783007476e+05 4.1707792318281694e+05 3.4707257365908090e+05 2.8208327402679552e+05 2.2190027450056159e+05 1.6687543455250587e+05 1.1724923369841609e+05 7.2674833615549040e+04 3.2659297282827651e+04 -3.2641109800112649e+03 -3.5503916417881090e+04 -6.4126571812214541e+04 -8.6573117856106401e+04 -9.7555406439392347e+04 -1.0671430551099987e+05 -1.2391081262697693e+05 -1.4346239016283263e+05 -1.6174727827554662e+05 -1.7836859978806545e+05 -1.9348639262734438e+05 -2.0729743699225373e+05 -2.1999006998162676e+05 -2.3174319032352071e+05 -2.4272855172700426e+05 -2.5311336226736015e+05 -2.6306293334406376e+05 -2.7274345758808899e+05 -2.8232491776542034e+05 -2.9198425921285024e+05 -3.0190881477464328e+05 -3.1309890844390646e+05 -3.2510284128169290e+05 -3.3822787837595993e+05 -3.5282334906100918e+05 -3.6929245952820050e+05 -3.8810758244991460e+05 -4.0983051478295971e+05 -4.3513982849568740e+05 -4.6486896599095437e+05 -5.0005679697678739e+05 -5.4203191025728779e+05 -5.9249651015410828e+05 -6.5367809225443169e+05 -7.2859930904646264e+05 -8.2134517966982874e+05 -9.3758239732911659e+05 -1.0852321265627581e+06 -1.2754529086964037e+06 -1.5238386564815838e+06 -1.8515351650905726e+06 -2.2855200691578090e+06 -2.8566176379286987e+06 -3.5940516230326365e+06 -4.5164871639612801e+06 -5.6221439210109971e+06 -6.8822064584322935e+06 -8.2412313072184725e+06 -9.6254690752876550e+06 -1.0955293695897155e+07 -1.2159321556096870e+07 -1.3184792113367328e+07 -1.4002857745870372e+07 -1.4609904703685949e+07 -1.5024789793695865e+07 -1.5280732926983712e+07 -1.5418758103922704e+07 -1.5478525428605903e+07 -1.5492611363915294e+07 -1.5483536893635787e+07 -1.5470334589868216e+07 -1.5454451663034227e+07 -1.5437137054094497e+07 -1.5418565724900346e+07 -1.5399266181763127e+07 -1.5378923119014002e+07 -1.5357531941931797e+07 -1.5334238631010568e+07 -1.5309306760678392e+07 -1.5282277158304855e+07 -1.5252791049368523e+07 -1.5220412440992681e+07 -1.5184650150246557e+07 -1.5144942350459483e+07 -1.5100662199689360e+07 -1.5051139829454727e+07 -1.4995611827010235e+07 -1.4933271843152467e+07 -1.4863252146363769e+07 -1.4784657818624590e+07 -1.4696591255340882e+07 -1.4598198324409030e+07 -1.4488932521817740e+07 -1.4367838909378123e+07 -1.4234925729201162e+07 -1.4090500423148444e+07 -1.3935695883169582e+07 -1.3772439858454537e+07 -1.3604401886193981e+07 -1.3437170021495400e+07 -1.3279063515393047e+07 -1.3142199421499824e+07 -1.3043814832141690e+07 -1.3008566643007886e+07 -1.3071864390624665e+07 -1.3285652393619478e+07 -1.3728621740982909e+07 -1.4525422450651145e+07 -1.5884916259650361e+07 6.1857610667225556e+05 +4.8729489454293333e-02 -2.4786724044156398e+05 -1.1821281351266027e+05 1.0418638490077722e+05 3.9214847691205976e+05 6.7228267674550624e+05 8.3442773137632571e+05 8.2910165619834594e+05 7.3770844425184478e+05 6.4350699835395359e+05 5.6319231338816124e+05 4.8662300563507521e+05 4.1236188073141885e+05 3.4242956523336860e+05 2.7750825738403393e+05 2.1738831807770362e+05 1.6242110365898255e+05 1.1284671101532465e+05 6.8318564337962554e+04 2.8344150647837167e+04 -7.5428710939041457e+03 -3.9750697648813220e+04 -6.8345803978985510e+04 -9.0771885611186808e+04 -1.0174624745699894e+05 -1.1090042334214240e+05 -1.2808574591189966e+05 -1.4762547420485504e+05 -1.6590168315773856e+05 -1.8251818126689928e+05 -1.9763519029559445e+05 -2.1144969739711224e+05 -2.2415032439421554e+05 -2.3591634512421247e+05 -2.4691998990707021e+05 -2.5732905837397557e+05 -2.6730958370082767e+05 -2.7702862947111833e+05 -2.8665722063916305e+05 -2.9637354321232223e+05 -3.0636640071871469e+05 -3.1764449545288522e+05 -3.2975408318219474e+05 -3.4300550792789995e+05 -3.5775179666396033e+05 -3.7440061463267996e+05 -3.9342974333880434e+05 -4.1540759131702938e+05 -4.4102088867373986e+05 -4.7111326293954614e+05 -5.0673643053518049e+05 -5.4923554825971345e+05 -6.0033415312115592e+05 -6.6228771023008251e+05 -7.3815676995924755e+05 -8.3207728015535569e+05 -9.4978578838756424e+05 -1.0992990393420882e+06 -1.2919052148107064e+06 -1.5433678362136746e+06 -1.8750381456524995e+06 -2.3141092617869377e+06 -2.8915724748127894e+06 -3.6366866433634162e+06 -4.5679437376570236e+06 -5.6831617778094895e+06 -6.9529580353491493e+06 -8.3212830561321732e+06 -9.7138808901754711e+06 -1.1050800983470449e+07 -1.2260541357870268e+07 -1.3290388796250755e+07 -1.4111641590958120e+07 -1.4720879742798997e+07 -1.5137166257506160e+07 -1.5393912208980922e+07 -1.5532320209083008e+07 -1.5592199314386616e+07 -1.5606240864593036e+07 -1.5597042803261392e+07 -1.5583728462974206e+07 -1.5567723041628132e+07 -1.5550279374348985e+07 -1.5531571262210054e+07 -1.5512130089949934e+07 -1.5491637904769083e+07 -1.5470089895695543e+07 -1.5446625865516188e+07 -1.5421511267675653e+07 -1.5394283563057743e+07 -1.5364581347533891e+07 -1.5331965432742735e+07 -1.5295941035707213e+07 -1.5255942226576295e+07 -1.5211337493905116e+07 -1.5161452166634848e+07 -1.5105517190589853e+07 -1.5042720306584250e+07 -1.4972187423442867e+07 -1.4893017064208122e+07 -1.4804305045575114e+07 -1.4705190989459163e+07 -1.4595124314127563e+07 -1.4473143185583774e+07 -1.4339255861883782e+07 -1.4193772038183333e+07 -1.4037832909790387e+07 -1.3873380354785327e+07 -1.3704110804993898e+07 -1.3535653284306396e+07 -1.3376387950325107e+07 -1.3238520759292625e+07 -1.3139415095694808e+07 -1.3103908582059912e+07 -1.3167670252652509e+07 -1.3383025136181362e+07 -1.3829241070907425e+07 -1.4631881679294806e+07 -1.6001339244574010e+07 6.2613025634412479e+05 +4.9029820905344745e-02 -2.5190893767626848e+05 -1.2239119770854396e+05 9.9774397243395462e+04 3.8743221827223041e+05 6.6726750429117342e+05 8.2923616166956211e+05 8.2391064924288588e+05 7.3261004984745127e+05 6.3850501552879252e+05 5.5827264207998663e+05 4.8178232197822590e+05 4.0759829819950281e+05 3.3773890436540043e+05 2.7288548261995491e+05 2.1282850398171070e+05 1.5791882152644062e+05 1.0839614904523826e+05 6.3914172076056901e+04 2.3980800187011831e+04 -1.1869914519163503e+04 -4.4045841891710836e+04 -7.2613480473132324e+04 -9.5019180218348818e+04 -1.0598569817009449e+05 -1.1513524650165853e+05 -1.3230950194495529e+05 -1.5183751592072652e+05 -1.7010519772797267e+05 -1.8671704479152543e+05 -2.0183346704396201e+05 -2.1565166362055490e+05 -2.2836054686028216e+05 -2.4013977239936247e+05 -2.5116205490957585e+05 -2.6159579455616971e+05 -2.7160775671302737e+05 -2.8136588803025923e+05 -2.9104226974562684e+05 -3.0081634496057482e+05 -3.1087840703679441e+05 -3.2224564445544593e+05 -3.3446223866432492e+05 -3.4784165148965496e+05 -3.6274065393314086e+05 -3.7957142594625539e+05 -3.9881722510318557e+05 -4.2105315341981343e+05 -4.4697419988766575e+05 -4.7743430257789261e+05 -5.1349818231598986e+05 -5.5652776654600026e+05 -6.0826818465016352e+05 -6.7100320944118896e+05 -7.4783174293735751e+05 -8.4294126142222388e+05 -9.6213896723702538e+05 -1.1135382291254762e+06 -1.3085581702557788e+06 -1.5631333772257802e+06 -1.8988218205652134e+06 -2.3430325775667457e+06 -2.9269228029510770e+06 -3.6797831077233246e+06 -4.6199269708250444e+06 -5.7447647209254876e+06 -7.0243413045310024e+06 -8.4019986518590283e+06 -9.8029744536396489e+06 -1.1146996074221648e+07 -1.2362446756440658e+07 -1.3396664293456633e+07 -1.4221095895225810e+07 -1.4832517347746087e+07 -1.5250198888125625e+07 -1.5507742971187474e+07 -1.5646530598198691e+07 -1.5706519344806282e+07 -1.5720515005777549e+07 -1.5711192168974653e+07 -1.5697765027781738e+07 -1.5681636366184743e+07 -1.5664062890938476e+07 -1.5645217215021139e+07 -1.5625633609512538e+07 -1.5604991456742235e+07 -1.5583285726155875e+07 -1.5559650009254031e+07 -1.5534351648435505e+07 -1.5506924718956415e+07 -1.5477005172169151e+07 -1.5444150606188292e+07 -1.5407862617513964e+07 -1.5367571150124872e+07 -1.5322639995452287e+07 -1.5272389654250519e+07 -1.5216045398252537e+07 -1.5152789024844829e+07 -1.5081740047095295e+07 -1.5001990391959079e+07 -1.4912629260136325e+07 -1.4812789992379406e+07 -1.4701917905000163e+07 -1.4579044230723022e+07 -1.4444177242943205e+07 -1.4297628902906321e+07 -1.4140548756317057e+07 -1.3974892890198788e+07 -1.3804384783450462e+07 -1.3634694661105743e+07 -1.3474263931452308e+07 -1.3335387958679266e+07 -1.3235557134498823e+07 -1.3199790832660245e+07 -1.3264019055373410e+07 -1.3480949699027512e+07 -1.3930430619766837e+07 -1.4738944222513694e+07 -1.6118422008255091e+07 6.3377606605152250e+05 +4.9332003370669050e-02 -2.5599950055038635e+05 -1.2661826644599180e+05 9.5314025423815110e+04 3.8266795637198229e+05 6.6220468114095135e+05 8.2399713678350090e+05 8.1867216113651916e+05 7.2746403121650766e+05 6.3345526216752606e+05 5.5330507214060787e+05 4.7689361770866741e+05 4.0278657686066761e+05 3.3299999252445489e+05 2.6821435135555273e+05 2.0822023404182002e+05 1.5336799003932980e+05 1.0389694966260823e+05 5.9461058611897271e+04 1.9568647506813879e+04 -1.6245839910994800e+04 -4.8389948161802538e+04 -7.6930200774365279e+04 -9.9315601732262454e+04 -1.1027435931026282e+05 -1.1941937655298716e+05 -1.3658268334731009e+05 -1.5609911923131556e+05 -1.7435842746974932e+05 -1.9096579770827014e+05 -2.0608183242966112e+05 -2.1990394783404455e+05 -2.3262135263557037e+05 -2.4441409103665300e+05 -2.5545536989218983e+05 -2.6591419898705720e+05 -2.7595808643967373e+05 -2.8575587422693154e+05 -2.9548071413513954e+05 -3.0531332298254670e+05 -3.1544550334726780e+05 -3.2690303910745005e+05 -3.3922800800521183e+05 -3.5273702901846584e+05 -3.6779066413074569e+05 -3.8480566434233624e+05 -4.0427083135322295e+05 -4.2676804356060177e+05 -4.5300065081609710e+05 -4.8383302866182814e+05 -5.2034306192666769e+05 -5.6390965378234722e+05 -6.1629978876271343e+05 -6.7982588953406888e+05 -7.5762566874634754e+05 -8.5393873751940508e+05 -9.7464376175870071e+05 -1.1279517879465809e+06 -1.3254141912369360e+06 -1.5831380856801989e+06 -1.9228894467125847e+06 -2.3722937610659450e+06 -2.9626728452155292e+06 -3.7233456463076728e+06 -4.6724417722412618e+06 -5.8069577768188482e+06 -7.0963612541438518e+06 -8.4833829246508721e+06 -9.8927543696979936e+06 -1.1243883325854024e+07 -1.2465041878075032e+07 -1.3503622534231512e+07 -1.4331224431975575e+07 -1.4944821176110499e+07 -1.5363891262408793e+07 -1.5622228737405693e+07 -1.5761392762363428e+07 -1.5821488991603153e+07 -1.5835437247613318e+07 -1.5825988443180770e+07 -1.5812447732256647e+07 -1.5796195080522332e+07 -1.5778491043583663e+07 -1.5759507018890847e+07 -1.5739780171682827e+07 -1.5718987201623762e+07 -1.5697122855204940e+07 -1.5673314478956377e+07 -1.5647831314124407e+07 -1.5620204031126710e+07 -1.5590065921876324e+07 -1.5556971352667235e+07 -1.5520418279045178e+07 -1.5479832495665319e+07 -1.5434573068966633e+07 -1.5383955645924387e+07 -1.5327199791299172e+07 -1.5263481325302532e+07 -1.5191913329095941e+07 -1.5111581096129529e+07 -1.5021567173641594e+07 -1.4920998585897915e+07 -1.4809316522813313e+07 -1.4685545246203564e+07 -1.4549693044190295e+07 -1.4402074156925090e+07 -1.4243846527841372e+07 -1.4076980533399664e+07 -1.3905226852814823e+07 -1.3734297145886332e+07 -1.3572694417562259e+07 -1.3432803947943440e+07 -1.3332243854923021e+07 -1.3296216293319710e+07 -1.3360913711431913e+07 -1.3579429042425441e+07 -1.4032193446494872e+07 -1.4846613316783855e+07 -1.6236168090083081e+07 6.4151463693773956e+05 +4.9636048258508127e-02 -2.6013953028630477e+05 -1.3089462259361615e+05 9.0804661956837881e+04 3.7785507345990377e+05 6.5709361421154765e+05 8.1871005552357365e+05 8.1338558500774787e+05 7.2226977685511869e+05 6.2835712891787535e+05 5.4828899825342197e+05 4.7195628628048167e+05 3.9792611057559238e+05 3.2821222379195597e+05 2.6349425783367350e+05 2.0356290265812186e+05 1.4876800367046526e+05 9.9348507332846915e+04 5.4958618315923813e+04 1.5107086799189823e+04 -2.0671253343250228e+04 -5.2783622897493355e+04 -8.1296571791528040e+04 -1.0366175764450130e+05 -1.1461283905668065e+05 -1.2375342252030045e+05 -1.4090590021447153e+05 -1.6041089554933910e+05 -1.7866198537688519e+05 -1.9526505489706461e+05 -2.1038090356966105e+05 -2.2420716980075199e+05 -2.3693336460421782e+05 -2.4873992759601274e+05 -2.5980056573727709e+05 -2.7028490762529557e+05 -2.8036121479676134e+05 -2.9019923696324165e+05 -2.9997321089657699e+05 -3.0986514395687362e+05 -3.2006836755852244e+05 -3.3161737152577378e+05 -3.4405210014642484e+05 -3.5769236937797320e+05 -3.7290257971278438e+05 -3.9010411022645253e+05 -4.0979137563224218e+05 -4.3255311462006043e+05 -4.5910114111457794e+05 -4.9031039659898775e+05 -5.2727209143051098e+05 -5.7138231205362093e+05 -6.2443016405814444e+05 -6.8875706613200565e+05 -7.6754000582319719e+05 -8.6507134222051036e+05 -9.8730202203866490e+05 -1.1425418330110365e+06 -1.3424757225754641e+06 -1.6033848001337070e+06 -1.9472443171467022e+06 -2.4018965962007749e+06 -2.9988268657098464e+06 -3.7673789306536764e+06 -4.7254930902467659e+06 -5.8697460083674742e+06 -7.1690229049074575e+06 -8.5654407334954347e+06 -9.9832252679108344e+06 -1.1341467119153881e+07 -1.2568330870479446e+07 -1.3611267468122050e+07 -1.4442030994183632e+07 -1.5057794904744713e+07 -1.5478246976214828e+07 -1.5737373050338561e+07 -1.5876910211495431e+07 -1.5937111745268708e+07 -1.5951011068928258e+07 -1.5941435096998293e+07 -1.5927780043009892e+07 -1.5911402647069696e+07 -1.5893567290642250e+07 -1.5874444127913719e+07 -1.5854573226246607e+07 -1.5833628584658680e+07 -1.5811604723276468e+07 -1.5787622709830608e+07 -1.5761953694326311e+07 -1.5734124923148608e+07 -1.5703767013588440e+07 -1.5670431081906240e+07 -1.5633611422008688e+07 -1.5592729655988945e+07 -1.5547140097336533e+07 -1.5496153513448982e+07 -1.5438983729038959e+07 -1.5374800553331463e+07 -1.5302710599125730e+07 -1.5221792488805909e+07 -1.5131122078472797e+07 -1.5029820040336534e+07 -1.4917323413395233e+07 -1.4792649450717878e+07 -1.4655806454528656e+07 -1.4507110956817526e+07 -1.4347729346257277e+07 -1.4179646369724674e+07 -1.4006640060798246e+07 -1.3834463748901987e+07 -1.3671682383433152e+07 -1.3530771671227248e+07 -1.3429478179042503e+07 -1.3393187878248546e+07 -1.3458357149195062e+07 -1.3678466142622352e+07 -1.4134532626631550e+07 -1.4954892216129325e+07 -1.6354581048636815e+07 6.4934708316839265e+05 +4.9941967047415575e-02 -2.6432964528104884e+05 -1.3522088111753954e+05 8.6245693746336707e+04 3.7299296554505354e+05 6.5193367152383353e+05 8.1337429798963433e+05 8.0805030193067726e+05 7.1702667514639022e+05 6.2321000196287571e+05 5.4322380565907061e+05 4.6696971370771155e+05 3.9301628557725484e+05 3.2337498474737920e+05 2.5872458884619505e+05 1.9885589672926185e+05 1.4411824939343816e+05 9.4750209020648224e+04 5.0406238056381633e+04 1.0595504751555089e+04 -2.5146768398890832e+04 -5.7227480050833488e+04 -8.5713207953198144e+04 -1.0805826297369157e+05 -1.1900175312690913e+05 -1.2813800097935507e+05 -1.4527977020868432e+05 -1.6477346386970047e+05 -1.8301649204540031e+05 -1.9961543886248226e+05 -2.1473130523303585e+05 -2.2856195696732446e+05 -2.4129721337240038e+05 -2.5311791640322271e+05 -2.6419828114436072e+05 -2.7470856430886616e+05 -2.8481779165233136e+05 -2.9469663317710831e+05 -3.0452042525546980e+05 -3.1447248281693930e+05 -3.2474768597011559e+05 -3.3638934239352460e+05 -3.4893523280204617e+05 -3.6270841044724558e+05 -3.7807716243932303e+05 -3.9546755365178286e+05 -4.1537968153829011e+05 -4.3840923001472797e+05 -4.6527658154809504e+05 -4.9686737358949753e+05 -5.3428630549655331e+05 -5.7894685702759610e+05 -6.3266052389162581e+05 -6.9779807102695573e+05 -7.7757623048734246e+05 -8.7634072925840761e+05 -1.0001156206326681e+06 -1.1573105069891028e+06 -1.3597452380308078e+06 -1.6238763918973790e+06 -1.9718897614525494e+06 -2.4318449065860333e+06 -3.0353891701134774e+06 -3.8118876739143236e+06 -4.7790859129907377e+06 -5.9331345149982609e+06 -7.2423313101829449e+06 -8.6481769662612379e+06 -1.0074391803400669e+07 -1.1439751858047405e+07 -1.2672317902778063e+07 -1.3719603065047780e+07 -1.4553519394537501e+07 -1.5171442229819324e+07 -1.5593269644458419e+07 -1.5853179471615987e+07 -1.5993086474362077e+07 -1.6053391115073344e+07 -1.6067239967344744e+07 -1.6057535620216843e+07 -1.6043765445337338e+07 -1.6027262546958724e+07 -1.6009295109117536e+07 -1.5990032014859462e+07 -1.5970016241563801e+07 -1.5948919069635745e+07 -1.5926734789335128e+07 -1.5902578155610289e+07 -1.5876722237196138e+07 -1.5848690837038282e+07 -1.5818111882711161e+07 -1.5784533221990868e+07 -1.5747445466444356e+07 -1.5706266042217277e+07 -1.5660344481674822e+07 -1.5608986646773310e+07 -1.5551400588935750e+07 -1.5486750072353764e+07 -1.5414135204827055e+07 -1.5332627899938859e+07 -1.5241297284731150e+07 -1.5139257643650880e+07 -1.5025941840061033e+07 -1.4900360080316134e+07 -1.4762520680099633e+07 -1.4612742476171348e+07 -1.4452200350301137e+07 -1.4282893501142336e+07 -1.4108627471482826e+07 -1.3935197496579355e+07 -1.3771230819898659e+07 -1.3629294088521563e+07 -1.3527263044714328e+07 -1.3490708517358936e+07 -1.3556352312826954e+07 -1.3778063991964903e+07 -1.4237451252246536e+07 -1.5063784192102509e+07 -1.6473664461644605e+07 6.5727453208156116e+05 +5.0249771286690045e-02 -2.6857045709326677e+05 -1.3959766009490925e+05 8.1636500413956644e+04 3.6808100573412684e+05 6.4672422565944877e+05 8.0798923713491927e+05 8.0266568474210519e+05 7.1173410275431001e+05 6.1801326014719997e+05 5.3810887039499392e+05 4.6193327848018112e+05 3.8805648046267132e+05 3.1848765437624190e+05 2.5390472362942083e+05 1.9409859558400730e+05 1.3941810659471780e+05 9.0101434099554855e+04 4.5803297108320410e+04 6.0332804554243148e+03 -2.9673006261759874e+04 -6.1722141178969156e+04 -9.0180731299324107e+04 -1.1250574035775657e+05 -1.2344172486819389e+05 -1.3257373614977434e+05 -1.4970491865005065e+05 -1.6918745086281470e+05 -1.8742257576614976e+05 -2.0401757982679014e+05 -2.1913366993397544e+05 -2.3296894455848236e+05 -2.4571353736137354e+05 -2.5754869964485129e+05 -2.6864916272781754e+05 -2.7918582085180242e+05 -2.8932847492288967e+05 -2.9924872794309224e+05 -3.0912303067391808e+05 -3.1913602285058610e+05 -3.2948415337598295e+05 -3.4121966106279043e+05 -3.5387813256420608e+05 -3.6778589923191391e+05 -3.8331518348956498e+05 -4.0089679443717049e+05 -4.2103658284661197e+05 -4.4433726382717688e+05 -4.7152789412693714e+05 -5.0350493876809179e+05 -5.4138675155762478e+05 -5.8660441811980400e+05 -6.4099209655269526e+05 -7.0695025237969495e+05 -7.8773583715604641e+05 -8.8774857256324706e+05 -1.0130864528299040e+06 -1.1722599783097070e+06 -1.3772252406276313e+06 -1.6446157653765965e+06 -1.9968291461140821e+06 -2.4621425559054147e+06 -3.0723641060018437e+06 -3.8568766311465325e+06 -4.8332252686438244e+06 -5.9971284328646408e+06 -7.3162915560995210e+06 -8.7315965396433473e+06 -1.0166258656961584e+07 -1.1538741969636537e+07 -1.2777007165581461e+07 -1.3828633315311972e+07 -1.4665693465421412e+07 -1.5285766866819173e+07 -1.5708962901193425e+07 -1.5969651581835983e+07 -1.6109925098559940e+07 -1.6170330629112666e+07 -1.6184127459178369e+07 -1.6174293521398807e+07 -1.6160407443254305e+07 -1.6143778279974215e+07 -1.6125677994666573e+07 -1.6106274171100944e+07 -1.6086112704666238e+07 -1.6064862138953725e+07 -1.6042516530911135e+07 -1.6018184288520407e+07 -1.5992140409335913e+07 -1.5963905233293386e+07 -1.5933103983057279e+07 -1.5899281219409788e+07 -1.5861923850750482e+07 -1.5820445083748030e+07 -1.5774189641348518e+07 -1.5722458454068081e+07 -1.5664453766577518e+07 -1.5599333263829151e+07 -1.5526190511827793e+07 -1.5444090677350631e+07 -1.5352096120298283e+07 -1.5249314701432614e+07 -1.5135175083668768e+07 -1.5008680388447074e+07 -1.4869838944202436e+07 -1.4718971905596333e+07 -1.4557262695542920e+07 -1.4386725046243152e+07 -1.4211192165440546e+07 -1.4036501431643678e+07 -1.3871342733833583e+07 -1.3728374175738398e+07 -1.3625601405555384e+07 -1.3588781156277565e+07 -1.3654902162311237e+07 -1.3878225598819595e+07 -1.4340952432030406e+07 -1.5173292533820637e+07 -1.6593421926062092e+07 6.6529812433957972e+05 +5.0559472596811275e-02 -2.7286259683877189e+05 -1.4402558888168744e+05 7.6976453424794498e+04 3.6311856546248961e+05 6.4146466356647131e+05 8.0255425219366478e+05 7.9723110919828981e+05 7.0639142554136796e+05 6.1276627143656753e+05 5.3294356190163153e+05 4.5684635121412313e+05 3.8304606618313637e+05 3.1354960399450263e+05 2.4903403374640160e+05 1.8929037089562014e+05 1.3466694698361022e+05 8.5401554260369550e+04 4.1149167061025255e+04 1.4197853138605412e+03 -3.4250595808906546e+04 -6.6268235536852531e+04 -9.4699771574207349e+04 -1.1700482014693660e+05 -1.2793338535134762e+05 -1.3706125998784907e+05 -1.5418197861038550e+05 -1.7365349096764720e+05 -1.9188087261788422e+05 -2.0847211582449637e+05 -2.2358863802663266e+05 -2.3742877567058327e+05 -2.5018298290414328e+05 -2.6203292746383915e+05 -2.7315386511137494e+05 -2.8371733714171901e+05 -2.9389393067338254e+05 -3.0385619456987240e+05 -3.1378170895112230e+05 -3.2385645580319426e+05 -3.3427847316747025e+05 -3.4610904566227912e+05 -3.5888153501249530e+05 -3.7292559197445138e+05 -3.8861742357652710e+05 -4.0639264228623209e+05 -4.2676292363307363e+05 -4.5033810093515221e+05 -4.7785601224497840e+05 -5.1022408335295552e+05 -5.4857448995844694e+05 -5.9435613866197469e+05 -6.4942612544706487e+05 -7.1621497491265379e+05 -7.9802033856359136e+05 -8.9929656650459836e+05 -1.0262164369234323e+06 -1.1873924414633566e+06 -1.3949182629822867e+06 -1.6656058584324007e+06 -2.0220658748809667e+06 -2.4927934482615888e+06 -3.1097560631783875e+06 -3.9023505995979146e+06 -4.8879162256239876e+06 -6.0617329350092029e+06 -7.3909087616662299e+06 -8.8157043993744813e+06 -1.0258830535048615e+07 -1.1638441904227756e+07 -1.2882402870990755e+07 -1.3938362229620924e+07 -1.4778557058948327e+07 -1.5400772550556032e+07 -1.5825330399520785e+07 -1.6086792980529759e+07 -1.6227429650583692e+07 -1.6287933834272316e+07 -1.6301677079589272e+07 -1.6291712327793771e+07 -1.6277709559484664e+07 -1.6260953364629731e+07 -1.6242719461627390e+07 -1.6223174106687298e+07 -1.6202866121162070e+07 -1.6181461293603621e+07 -1.6158953444146818e+07 -1.6134444599413073e+07 -1.6108211695895556e+07 -1.6079771590906700e+07 -1.6048746786914211e+07 -1.6014678539089402e+07 -1.5977050031687431e+07 -1.5935270228324624e+07 -1.5888679014013674e+07 -1.5836572361682210e+07 -1.5778146675689159e+07 -1.5712553527314866e+07 -1.5638879903723858e+07 -1.5556184186737878e+07 -1.5463521930817336e+07 -1.5359994536957895e+07 -1.5245026442596665e+07 -1.5117613645908091e+07 -1.4977764487422347e+07 -1.4825802452787295e+07 -1.4662919554423606e+07 -1.4491144140307490e+07 -1.4314337239687383e+07 -1.4138378613025276e+07 -1.3972021148222603e+07 -1.3828014924645832e+07 -1.3724496230958905e+07 -1.3687408756403016e+07 -1.3754009673442544e+07 -1.3978953987640437e+07 -1.4445039291271001e+07 -1.5283420547987249e+07 -1.6713857058050118e+07 6.7341901408250723e+05 +5.0871082669878775e-02 -2.7720670283659454e+05 -1.4850530224569488e+05 7.2264913697329946e+04 3.5810500607359217e+05 6.3615433758490533e+05 7.9706869013627642e+05 7.9174593512822548e+05 7.0099800953722384e+05 6.0746839778896607e+05 5.2772724336653051e+05 4.5170829446936410e+05 3.7798440595623892e+05 3.0856019714631181e+05 2.4411188297506899e+05 1.8443058657244049e+05 1.2986413449782734e+05 8.0649933418480941e+04 3.6443211724639470e+04 -3.2456170522789353e+03 -3.8880173704532019e+04 -7.0866400171139947e+04 -9.9270966320609004e+04 -1.2155614049720120e+05 -1.3247737346449075e+05 -1.4160121228102053e+05 -1.5871159100774801e+05 -1.7817222648644011e+05 -1.9639202656342721e+05 -2.1297969279707974e+05 -2.2809685779983472e+05 -2.4194210136900796e+05 -2.5470620434060501e+05 -2.6657125805685163e+05 -2.7771305102693208e+05 -2.8830378123719775e+05 -2.9851483321521827e+05 -3.0851971470094653e+05 -3.1849715032459697e+05 -3.2863448197910615e+05 -3.3913135743780638e+05 -3.5105822320301295e+05 -3.6394618482212984e+05 -3.7812825426655822e+05 -3.9398467306298250e+05 -4.1195591690870817e+05 -4.3255955840199220e+05 -4.5641263714354439e+05 -4.8426188081578317e+05 -5.1702581078980281e+05 -5.5585059411992051e+05 -6.0220317606847093e+05 -6.5796386927959323e+05 -7.2559362011190341e+05 -8.0843126597945299e+05 -9.1098642613430554e+05 -1.0395075144805642e+06 -1.2027101172979916e+06 -1.4128268676400839e+06 -1.6868496427393188e+06 -2.0476033891436020e+06 -2.5238015285543911e+06 -3.1475694740238176e+06 -3.9483144189802068e+06 -4.9431638928207727e+06 -6.1269532315240027e+06 -7.4661880788895413e+06 -8.9005055202255640e+06 -1.0352112169881677e+07 -1.1738856135392534e+07 -1.2988509252675593e+07 -1.4048793839137720e+07 -1.4892114047039993e+07 -1.5516463035239810e+07 -1.5942375811725182e+07 -1.6204607286238395e+07 -1.6345603715826087e+07 -1.6406204296307379e+07 -1.6419892382482193e+07 -1.6409795585467434e+07 -1.6395675335506167e+07 -1.6378791338126017e+07 -1.6360423043035876e+07 -1.6340735350338520e+07 -1.6320280015358442e+07 -1.6298720053240320e+07 -1.6276049043756682e+07 -1.6251362597681968e+07 -1.6224939600552237e+07 -1.6196293407397103e+07 -1.6165043785040354e+07 -1.6130728664366640e+07 -1.6092827484429726e+07 -1.6050744942019938e+07 -1.6003816055589594e+07 -1.5951331814247441e+07 -1.5892482748169487e+07 -1.5826414280410403e+07 -1.5752206782120330e+07 -1.5668911811719814e+07 -1.5575578079772357e+07 -1.5471300491168087e+07 -1.5355499232778430e+07 -1.5227163140904529e+07 -1.5086300567543520e+07 -1.4933237342494236e+07 -1.4769174116249008e+07 -1.4596153935284933e+07 -1.4418065807732200e+07 -1.4240832115962399e+07 -1.4073269102052558e+07 -1.3928219342971781e+07 -1.3823950506125409e+07 -1.3786594294856803e+07 -1.3853677837841460e+07 -1.4080252198993415e+07 -1.4549714971901726e+07 -1.5394171558878897e+07 -1.6834973493035257e+07 6.8163836908329383e+05 +5.1184613270053261e-02 -2.8160341176840075e+05 -1.5303744187479158e+05 6.7501241073202371e+04 3.5303968642836786e+05 6.3079260016523639e+05 7.9153191216966568e+05 7.8620951698888186e+05 6.9555320801872143e+05 6.0211899505427352e+05 5.2245926994373940e+05 4.4651846304345899e+05 3.7287085520251311e+05 3.0351878946776490e+05 2.3913762721210311e+05 1.7951859863993875e+05 1.2500902520695262e+05 7.5845927619602677e+04 3.1684787035927664e+04 -7.9635708992728887e+03 -4.3562384494401907e+04 -7.5517280015215161e+04 -1.0389496097475018e+05 -1.2616034746662727e+05 -1.3707433600871247e+05 -1.4619424074359218e+05 -1.6329440470178801e+05 -1.8274430768020143e+05 -2.0095668954441158e+05 -2.1754096468953948e+05 -2.3265898557508085e+05 -2.4650958078426562e+05 -2.5928386411585056e+05 -2.7116435777229024e+05 -2.8232739141332876e+05 -2.9294582946918660e+05 -3.0319186520665418e+05 -3.1323997841695388e+05 -3.2327005357338075e+05 -3.3347081034847460e+05 -3.4404352708963212e+05 -3.5606792968756345e+05 -3.6907283587745158e+05 -3.8339466116577090e+05 -3.9941773207954742e+05 -4.1758744814142917e+05 -4.3842735221016716e+05 -4.6256177931779856e+05 -4.9074645641620335e+05 -5.2391113690198772e+05 -5.6321615069363546e+05 -6.1014670201003517e+05 -6.6660660223928804e+05 -7.3508758643108723e+05 -8.1897016943348502e+05 -9.2281988743799145e+05 -1.0529616506172752e+06 -1.2182152533301630e+06 -1.4309536474049729e+06 -1.7083501241466794e+06 -2.0734451683071814e+06 -2.5551707828332745e+06 -3.1858088138176305e+06 -3.9947729717699890e+06 -4.9989734198184600e+06 -6.1927945697083911e+06 -7.5421346928643417e+06 -8.9860049060894214e+06 -1.0446108319470238e+07 -1.1839989159992933e+07 -1.3095330565855864e+07 -1.4159932195470300e+07 -1.5006368321383499e+07 -1.5632842094463047e+07 -1.6060102829222649e+07 -1.6323098136510829e+07 -1.6464450898598766e+07 -1.6525145599822158e+07 -1.6538776940642433e+07 -1.6528546859261513e+07 -1.6514308331555340e+07 -1.6497295756439341e+07 -1.6478792290665319e+07 -1.6458961449495016e+07 -1.6438357930218939e+07 -1.6416641956153613e+07 -1.6393806863083487e+07 -1.6368941811308011e+07 -1.6342327645574071e+07 -1.6313474198789503e+07 -1.6281998486673672e+07 -1.6247435097053334e+07 -1.6209259702551158e+07 -1.6166872709286809e+07 -1.6119604240325879e+07 -1.6066740274603046e+07 -1.6007465434111377e+07 -1.5940918958894312e+07 -1.5866174566645764e+07 -1.5782276953844402e+07 -1.5688267948441122e+07 -1.5583235922732484e+07 -1.5466596787721412e+07 -1.5337332179101644e+07 -1.5195450459634412e+07 -1.5041279816543177e+07 -1.4876029587248195e+07 -1.4701757599846916e+07 -1.4522380999565203e+07 -1.4343865031992920e+07 -1.4175089650492532e+07 -1.4028990454377582e+07 -1.3923967232076408e+07 -1.3886340764564801e+07 -1.3953909662985351e+07 -1.4182123289534183e+07 -1.4654982632524000e+07 -1.5505548908392966e+07 -1.6956774885670897e+07 6.8995737090464623e+05 +5.1500076234000776e-02 -2.8605337658056204e+05 -1.5762266240491276e+05 6.2684779908906879e+04 3.4792194826481264e+05 6.2537879780848639e+05 7.8594325923176075e+05 7.8062119825757295e+05 6.9005636619830946e+05 5.9671741039534181e+05 5.1713898910098703e+05 4.4127620421101805e+05 3.6770476146063290e+05 2.9842472859335184e+05 2.3411061438081891e+05 1.7455375513543154e+05 1.2010096721638185e+05 7.0988884943412791e+04 2.6873240962205917e+04 -1.2734728456648312e+04 -4.8297880701959308e+04 -8.0221527985318084e+04 -1.0857240896219866e+05 -1.3081809511077155e+05 -1.4172492779417810e+05 -1.5084100111254954e+05 -1.6793107659031710e+05 -1.8737039286632399e+05 -2.0557552157982872e+05 -2.2215659354766889e+05 -2.3727568580293102e+05 -2.5113188121095134e+05 -2.6391663287929416e+05 -2.7581290120958892e+05 -2.8699756551565783e+05 -2.9764416654033650e+05 -3.0792571775665606e+05 -3.1801768433809484e+05 -3.2810112612297328e+05 -3.3836615865097538e+05 -3.4901571194231726e+05 -3.6113891021963826e+05 -3.7426225138211204e+05 -3.8872559730778157e+05 -4.0491741064384993e+05 -4.2328807607311371e+05 -4.4436718079931888e+05 -4.6878644551815093e+05 -4.9731070742648531e+05 -5.3088109004264418e+05 -5.7067225972489244e+05 -6.1818790258555091e+05 -6.7535561418776307e+05 -7.4469828949539061e+05 -8.2963861794060445e+05 -9.3479870757743507e+05 -1.0665808342772832e+06 -1.2339101240468789e+06 -1.4493012256847334e+06 -1.7301103430438188e+06 -2.0995947301684418e+06 -2.5869052386918515e+06 -3.2244786010851893e+06 -4.0417311834806330e+06 -5.0553499971047034e+06 -6.2592622342304392e+06 -7.6187538219161723e+06 -9.0722075900746975e+06 -1.0540823767678620e+07 -1.1941845498225411e+07 -1.3202871087353988e+07 -1.4271781370707439e+07 -1.5121323793484850e+07 -1.5749913521217326e+07 -1.6178515162587242e+07 -1.6442269187933438e+07 -1.6583974822169032e+07 -1.6644761348289119e+07 -1.6658334345624005e+07 -1.6647969732793611e+07 -1.6633612126674417e+07 -1.6616470194298549e+07 -1.6597830775012134e+07 -1.6577855970270714e+07 -1.6557103427384397e+07 -1.6535230559285833e+07 -1.6512230454120334e+07 -1.6487185786900118e+07 -1.6460379371788871e+07 -1.6431317499677896e+07 -1.6399614419601899e+07 -1.6364801357420573e+07 -1.6326350198069241e+07 -1.6283657032974390e+07 -1.6236047060814925e+07 -1.6182801223868087e+07 -1.6123098201762348e+07 -1.6056071016596125e+07 -1.5980786694964344e+07 -1.5896283032612203e+07 -1.5801594935959479e+07 -1.5695804208018899e+07 -1.5578322458492804e+07 -1.5448124083567174e+07 -1.5305217456035957e+07 -1.5149933133887274e+07 -1.4983489190561246e+07 -1.4807958319365894e+07 -1.4627285961709395e+07 -1.4447480468941092e+07 -1.4277485864798374e+07 -1.4130331298448093e+07 -1.4024549425662041e+07 -1.3986651174218927e+07 -1.4054708172216758e+07 -1.4284570332063977e+07 -1.4760845448339975e+07 -1.5617555956080787e+07 -1.7079264909938909e+07 6.9837721505761950e+05 +5.1817483471339541e-02 -2.9055725893963594e+05 -1.6226162055743946e+05 5.7814872059467642e+04 3.4275113018300507e+05 6.1991227112734388e+05 7.8030207671248517e+05 7.7498030930138601e+05 6.8450682026324503e+05 5.9126297995074955e+05 5.1176573960556189e+05 4.3598085753209313e+05 3.6248546421287447e+05 2.9327735412814212e+05 2.2903018433599221e+05 1.6953539602095514e+05 1.1513930057126759e+05 6.6078145406118798e+04 2.2007913404483043e+04 -1.7559750024486570e+04 -5.3087322925135522e+04 -8.4979805077991783e+04 -1.1330397179600946e+05 -1.3553004558108372e+05 -1.4642981173851597e+05 -1.5554215724671178e+05 -1.7262227170832851e+05 -1.9205114851624778e+05 -2.1024919086345518e+05 -2.2682724961755920e+05 -2.4194763116375855e+05 -2.5580967820705459e+05 -2.6860518958421017e+05 -2.8051757132052485e+05 -2.9172426098788483e+05 -3.0239948562826007e+05 -3.1271709052510641e+05 -3.2285353972870362e+05 -3.3299108414970007e+05 -3.4332125350402354e+05 -3.5404865083878697e+05 -3.6627191911541525e+05 -3.7951520397358434e+05 -3.9412185702545795e+05 -4.1048452878168848e+05 -4.2905865116820286e+05 -4.5037993072283210e+05 -4.7508756513771426e+05 -5.0395561417438748e+05 -5.3793671124492388e+05 -5.7822003481467231e+05 -6.2632797849671589e+05 -6.8421221084793773e+05 -7.5442716230957548e+05 -8.4043819972971815e+05 -9.4692466515071108e+05 -1.0803670785116735e+06 -1.2497970312252112e+06 -1.4678722568310583e+06 -1.7521333747268678e+06 -2.1260556312969225e+06 -2.6190089656177429e+06 -3.2635833979379591e+06 -4.0891940229527270e+06 -5.1122988563129297e+06 -6.3263615472912928e+06 -7.6960507176838554e+06 -9.1591186345594134e+06 -1.0636263324253306e+07 -1.2044429693633918e+07 -1.3311135115598664e+07 -1.4384345457484126e+07 -1.5236984394660261e+07 -1.5867681127932221e+07 -1.6297616541620761e+07 -1.6562124116109580e+07 -1.6704179128734527e+07 -1.6765055164128309e+07 -1.6778568207894821e+07 -1.6768067808537103e+07 -1.6753590318645885e+07 -1.6736318245210893e+07 -1.6717542085332507e+07 -1.6697422497562764e+07 -1.6676520087244123e+07 -1.6654489438279372e+07 -1.6631323387510374e+07 -1.6606098089694178e+07 -1.6579098338650959e+07 -1.6549826863210231e+07 -1.6517895130121775e+07 -1.6482830984249085e+07 -1.6444102501452655e+07 -1.6401101434317913e+07 -1.6353148027957143e+07 -1.6299518161455669e+07 -1.6239384537657306e+07 -1.6171873925545603e+07 -1.6096046622815229e+07 -1.6010933485470476e+07 -1.5915562459277481e+07 -1.5809008741135065e+07 -1.5690679613798659e+07 -1.5559542194840128e+07 -1.5415604866385136e+07 -1.5259200570562271e+07 -1.5091556166251758e+07 -1.4914759295935022e+07 -1.4732783857203074e+07 -1.4551681550991967e+07 -1.4380460832354693e+07 -1.4232244930785701e+07 -1.4125700119583512e+07 -1.4087528548341069e+07 -1.4156076404766761e+07 -1.4387596415500287e+07 -1.4867306611304974e+07 -1.5730196079125186e+07 -1.7202447259081077e+07 7.0689911116196483e+05 +5.2136846965089606e-02 -2.9511572342265688e+05 -1.6695498457655482e+05 5.2890848520311411e+04 3.3752656515752315e+05 6.1439234813757706e+05 7.7460768668308889e+05 7.6928618712024251e+05 6.7890389800197852e+05 5.8575503333291330e+05 5.0633885139564192e+05 4.3063175408903323e+05 3.5721229473021033e+05 2.8807599760430813e+05 2.2389566876827236e+05 1.6446285310657066e+05 1.1012335715917053e+05 6.1113040861324262e+04 1.7088136098920764e+04 -2.2439304071873474e+04 -5.7931379934950077e+04 -8.9792780469129400e+04 -1.1809031917470439e+05 -1.4029686922315526e+05 -1.5118965896497056e+05 -1.6029838122404247e+05 -1.7736866332603575e+05 -1.9678724935517868e+05 -2.1497837386404205e+05 -2.3155361144522598e+05 -2.4667550266700654e+05 -2.6054365569464598e+05 -2.7335022158928961e+05 -2.8527905951054062e+05 -2.9650817399463151e+05 -3.0721248848815711e+05 -3.1756669182995846e+05 -3.2774826060242899e+05 -3.3794065268854954e+05 -3.4833683051095996e+05 -3.5914309175917355e+05 -3.7146772001509258e+05 -3.8483247583893768e+05 -3.9958424446664355e+05 -4.1611991664917080e+05 -4.3490003439519962e+05 -4.5646649948151980e+05 -4.8146607903941488e+05 -5.1068216908206622e+05 -5.4507905437815131e+05 -5.8586060328601953e+05 -6.3456814522789454e+05 -6.9317771399944625e+05 -7.6427565546562453e+05 -8.5137052247326868e+05 -9.5919956044364395e+05 -1.0943224207649957e+06 -1.2658783042408661e+06 -1.4866694264840547e+06 -1.7744223297718728e+06 -2.1528314674224150e+06 -2.6514860753764976e+06 -3.3031278104062476e+06 -4.1371665026454432e+06 -5.1698252704364900e+06 -6.3940978687772052e+06 -7.7740306652229819e+06 -9.2467431312807370e+06 -1.0732431824910413e+07 -1.2147746313192872e+07 -1.3420126970696565e+07 -1.4497628568943208e+07 -1.5353354076128911e+07 -1.5986148746484404e+07 -1.6417410715309950e+07 -1.6682666615749750e+07 -1.6825067479470544e+07 -1.6886030688590895e+07 -1.6899482156766202e+07 -1.6888844707806487e+07 -1.6874246524137881e+07 -1.6856843521464869e+07 -1.6837929829671424e+07 -1.6817664634970676e+07 -1.6796611508868095e+07 -1.6774422187475573e+07 -1.6751089252605766e+07 -1.6725682303580126e+07 -1.6698488124201439e+07 -1.6669005861138280e+07 -1.6636844183089789e+07 -1.6601527534823388e+07 -1.6562520161612129e+07 -1.6519209452953143e+07 -1.6470910671059214e+07 -1.6416894605092792e+07 -1.6356327946521973e+07 -1.6288331175900523e+07 -1.6211957824003868e+07 -1.6126231767872617e+07 -1.6030173953292126e+07 -1.5922852933960365e+07 -1.5803671639961930e+07 -1.5671589870934071e+07 -1.5526616017633177e+07 -1.5369085419777455e+07 -1.5200233771321803e+07 -1.5022163748447256e+07 -1.4838877865621174e+07 -1.4656471418647001e+07 -1.4484017656708911e+07 -1.4334734422909826e+07 -1.4227422362391325e+07 -1.4188975927251047e+07 -1.4258017415764086e+07 -1.4491204644945735e+07 -1.4974369330004686e+07 -1.5843472672356863e+07 -1.7326325645678274e+07 7.1552428310822824e+05 +5.2458178772125212e-02 -2.9972944452732080e+05 -1.7170343115070529e+05 4.7912032278152408e+04 3.3224757166752947e+05 6.0881834413711226e+05 7.6885940465813561e+05 7.6353814848967909e+05 6.7324692458335881e+05 5.8019289261287497e+05 5.0085764632801223e+05 4.2522821618519054e+05 3.5188457596103166e+05 2.8281998235867562e+05 2.1870639111233049e+05 1.5933544996573668e+05 1.0505246060950332e+05 5.6092894900631043e+04 1.2113232517062746e+04 -2.7374067336603392e+04 -6.2830728774730203e+04 -9.4661131613567049e+04 -1.2293212908232120e+05 -1.4511924467692015e+05 -1.5600514890307558e+05 -1.6511035344389122e+05 -1.8217093305005634e+05 -2.0157937846227677e+05 -2.1976375542620127e+05 -2.3633636597685874e+05 -2.5145998975279822e+05 -2.6533450606218376e+05 -2.7815242476094782e+05 -2.9009806574192905e+05 -3.0135000931535725e+05 -3.1208388555844210e+05 -3.2247523875174072e+05 -3.3270257182968262e+05 -3.4295056574051955e+05 -3.5341363437054347e+05 -3.6429979192906967e+05 -3.7672708599838847e+05 -3.9021485883144126e+05 -4.0511357371408714e+05 -4.2182441465477785e+05 -4.4081309735338425e+05 -4.6262779565318587e+05 -4.8792293969529792e+05 -5.1749137681213656e+05 -5.5230918630295934e+05 -5.9359510634894297e+05 -6.4290963322377799e+05 -7.0225346166847507e+05 -7.7424523735938827e+05 -8.6243721352151013e+05 -9.7162521568811324e+05 -1.1084489231602533e+06 -1.2821563003914272e+06 -1.5056954519265101e+06 -1.7969803544148286e+06 -2.1799258738158834e+06 -2.6843407223893837e+06 -3.3431164887894271e+06 -4.1856536789127011e+06 -5.2279345540360613e+06 -6.4624765964303548e+06 -7.8526989831463695e+06 -9.3350862013909146e+06 -1.0829334131358927e+07 -1.2251799947277982e+07 -1.3529850994447744e+07 -1.4611634838804362e+07 -1.5470436808941638e+07 -1.6105320228224406e+07 -1.6537901451873183e+07 -1.6803900400605142e+07 -1.6946643554570112e+07 -1.7007691581951451e+07 -1.7021079840462677e+07 -1.7010304070738465e+07 -1.6995584378635503e+07 -1.6978049654179003e+07 -1.6958997634840619e+07 -1.6938586004900657e+07 -1.6917381310123533e+07 -1.6895032419949744e+07 -1.6871531657408871e+07 -1.6845942031098437e+07 -1.6818552325164437e+07 -1.6788858083798286e+07 -1.6756465161909809e+07 -1.6720894584957041e+07 -1.6681606745961590e+07 -1.6637984646979019e+07 -1.6589338537794676e+07 -1.6534934090806197e+07 -1.6473931951351466e+07 -1.6405446276011072e+07 -1.6328523790420301e+07 -1.6242181353241928e+07 -1.6145432870725248e+07 -1.6037340216127705e+07 -1.5917301940906564e+07 -1.5784270487367673e+07 -1.5638254254050152e+07 -1.5479590991871923e+07 -1.5309525279769611e+07 -1.5130174912498290e+07 -1.4945571183125755e+07 -1.4761853228763046e+07 -1.4588159457571292e+07 -1.4437802862399327e+07 -1.4329719218540128e+07 -1.4290996367124002e+07 -1.4360534276247272e+07 -1.4595398141649526e+07 -1.5082036829797637e+07 -1.5957389148322904e+07 -1.7450903801649790e+07 7.2425396922163048e+05 +5.2781491023630007e-02 -3.0439910415647336e+05 -1.7650763984995490e+05 4.2877739714635049e+04 3.2691346861505619e+05 6.0318957675632520e+05 7.6305655777174514e+05 7.5773551239148260e+05 6.6753521402535087e+05 5.7457587213477900e+05 4.9532143847763696e+05 4.1976955793322966e+05 3.4650162245601387e+05 2.7750862336272578e+05 2.1346166645153015e+05 1.5415250183411656e+05 9.9925926190252401e+04 5.1017022752623503e+04 7.0825177646449456e+03 -3.2364724926159386e+04 -6.7786054861532015e+04 -9.9585544346154304e+04 -1.2783008788947698e+05 -1.4999785897807806e+05 -1.6087696938962524e+05 -1.6997876272679656e+05 -1.8702977092468555e+05 -2.0642822737272832e+05 -2.2460602887227517e+05 -2.4117620866332948e+05 -2.5630179039544234e+05 -2.7018293026779639e+05 -2.8301250357769051e+05 -2.9497529863805301e+05 -3.0625048044909717e+05 -3.1701439606591297e+05 -3.2744345723920286e+05 -3.3771720724507055e+05 -3.4802156638349144e+05 -3.5855241898817575e+05 -3.6951951793488784e+05 -3.8205079969829135e+05 -3.9566315458713268e+05 -4.1071066890708311e+05 -4.2759887358727568e+05 -4.4679872240262449e+05 -4.6886473903063417e+05 -4.9445911133046658e+05 -5.2438425441731873e+05 -5.5962818703132321e+05 -6.0142469927061419e+05 -6.5135368807191460e+05 -7.1144080832930200e+05 -7.8433739440245589e+05 -8.7363992014046467e+05 -9.8420347532788070e+05 -1.1227486727906782e+06 -1.2986334052150238e+06 -1.5249530824337879e+06 -1.8198106309187813e+06 -2.2073425256839911e+06 -2.7175771041130004e+06 -3.3835541280016443e+06 -4.2346606523011914e+06 -5.2866320634816792e+06 -6.5315031659907913e+06 -7.9320610237012608e+06 -9.4241529955231939e+06 -1.0926975131326836e+07 -1.2356595209764240e+07 -1.3640311550319288e+07 -1.4726368421357380e+07 -1.5588236584065365e+07 -1.6225199443989925e+07 -1.6659092538774686e+07 -1.6925829203542460e+07 -1.7068911053194381e+07 -1.7130041523364380e+07 -1.7143364926086303e+07 -1.7132449556380171e+07 -1.7117607536429204e+07 -1.7099940293315805e+07 -1.7080749146463010e+07 -1.7060190248528309e+07 -1.7038833127597496e+07 -1.7016323767492052e+07 -1.6992654228646435e+07 -1.6966880893480118e+07 -1.6939294556847099e+07 -1.6909387140171960e+07 -1.6876761668598283e+07 -1.6840935729021106e+07 -1.6801365840422075e+07 -1.6757430592931539e+07 -1.6708435194223156e+07 -1.6653640172992811e+07 -1.6592200093409596e+07 -1.6523222752429394e+07 -1.6445748032089595e+07 -1.6358785733030239e+07 -1.6261342682237282e+07 -1.6152474035038024e+07 -1.6031573938249961e+07 -1.5897587437120993e+07 -1.5750522937253676e+07 -1.5590720614369243e+07 -1.5419433982543992e+07 -1.5238796040506568e+07 -1.5052867022431476e+07 -1.4867830154582493e+07 -1.4692889370817631e+07 -1.4541453352805452e+07 -1.4432593768353481e+07 -1.4393592939965606e+07 -1.4463630073173571e+07 -1.4700180043076871e+07 -1.5190312352726026e+07 -1.6071948937246557e+07 -1.7576185478242125e+07 7.3308942242774088e+05 +5.3106795925554999e-02 -3.0912539926404541e+05 -1.8136830598619877e+05 3.7787276617649994e+04 3.2152355721490522e+05 5.9750535161034809e+05 7.5719843554348324e+05 7.5187757556544442e+05 6.6176806574579759e+05 5.6890327738297475e+05 4.8972953394057899e+05 4.1425508529018692e+05 3.4106274038957973e+05 2.7214122706375504e+05 2.0816080141645434e+05 1.4891331549299354e+05 9.4743060704457181e+04 4.5884731181196643e+04 1.9952984794066167e+03 -3.7411970419684454e+04 -7.2798052088180440e+04 -1.0456671298432643e+05 -1.3278489045555104e+05 -1.5493340765991749e+05 -1.6580581677141777e+05 -1.7490430641826868e+05 -1.9194587553518321e+05 -2.1133449618119939e+05 -2.2950589610629220e+05 -2.4607384356187936e+05 -2.6120161120712894e+05 -2.7508963794330048e+05 -2.8793117123461037e+05 -2.9991147559014132e+05 -3.1121030972111051e+05 -3.2200474813252612e+05 -3.3247208221983048e+05 -3.4279290975675400e+05 -3.5315440688053990e+05 -3.6375394758837012e+05 -3.7480304583652253e+05 -3.8743965341853391e+05 -4.0117817464580369e+05 -4.1637636436356697e+05 -4.3344415473955811e+05 -4.5285780279621243e+05 -4.7517826075783611e+05 -5.0107557006379135e+05 -5.3136183149147930e+05 -5.6703714988422988e+05 -6.0935055154697853e+05 -6.5990157068415452e+05 -7.2074112510088377e+05 -7.9455363124086382e+05 -8.8498030975001329e+05 -9.9693620627839211e+05 -1.1372237820122375e+06 -1.3153120328186981e+06 -1.5444450996306050e+06 -1.8429163779663935e+06 -2.2350851385591910e+06 -2.7511994614188895e+06 -3.4244454679105761e+06 -4.2841925678344881e+06 -5.3459231971513266e+06 -6.6011830513689145e+06 -8.0121221728811311e+06 -9.5139486938888300e+06 -1.1025359738664355e+07 -1.2462136738017851e+07 -1.3751513023557315e+07 -1.4841833491507052e+07 -1.5706757412395885e+07 -1.6345790284123657e+07 -1.6780987782743841e+07 -1.7048456776577350e+07 -1.7191873693587281e+07 -1.7253084210994046e+07 -1.7266341099678092e+07 -1.7255284842640441e+07 -1.7240319670730468e+07 -1.7222519107623804e+07 -1.7203188029009543e+07 -1.7182481025822882e+07 -1.7160970616666850e+07 -1.7138299880645424e+07 -1.7114460611787390e+07 -1.7088502530668832e+07 -1.7060718453282703e+07 -1.7030596657829102e+07 -1.6997737323756337e+07 -1.6961654579928886e+07 -1.6921801049414944e+07 -1.6877550885832667e+07 -1.6828204224834308e+07 -1.6773016424347930e+07 -1.6711135932247248e+07 -1.6641664149894821e+07 -1.6563634077127827e+07 -1.6476048416714041e+07 -1.6377906876392679e+07 -1.6268257855926439e+07 -1.6146491071265174e+07 -1.6011544130738536e+07 -1.5863425446221298e+07 -1.5702477631945312e+07 -1.5529963187589020e+07 -1.5348030401655732e+07 -1.5160768612860246e+07 -1.4974405385724282e+07 -1.4798210548540264e+07 -1.4645689013730876e+07 -1.4536049108068682e+07 -1.4496768733650878e+07 -1.4567307909451578e+07 -1.4805553502854927e+07 -1.5299199157586381e+07 -1.6187155487063460e+07 -1.7702174446111403e+07 7.4203191041996947e+05 +5.3434105759079385e-02 -3.1390902679138683e+05 -1.8628613415048478e+05 3.2639941266534723e+04 3.1607713397724048e+05 5.9176496436438570e+05 7.5128433705712529e+05 7.4596364086663339e+05 6.5594477861184429e+05 5.6317440455711202e+05 4.8408122940727591e+05 4.0868409556850040e+05 3.3556722745321633e+05 2.6671709129565535e+05 2.0280309408119478e+05 1.4361718915089875e+05 8.9503162387317498e+04 4.0695318381895566e+04 -3.1491272723476263e+03 -4.2516505971332183e+04 -7.7867422927172884e+04 -1.0960534043142105e+05 -1.3779724023257001e+05 -1.5992659485671183e+05 -1.7079239600910404e+05 -1.7988769049187357e+05 -1.9691995411132934e+05 -2.1629889364541977e+05 -2.3446406771750361e+05 -2.5102998344220952e+05 -2.6616016754288209e+05 -2.8005534750066034e+05 -2.9290914974945143e+05 -3.0490732286270050e+05 -3.1623022839108336e+05 -3.2705567888644437e+05 -3.3756185770860588e+05 -3.4793043145831680e+05 -3.5834984879484592e+05 -3.6901899282815284e+05 -3.8015116128389293e+05 -3.9289444925145456e+05 -4.0676074057174817e+05 -4.2211150470433745e+05 -4.3936113003959745e+05 -4.5899124281234224e+05 -4.8156930346799537e+05 -5.0777330405509943e+05 -5.3842515032317012e+05 -5.7453718165547983e+05 -6.1737384707382997e+05 -6.6855455748727988e+05 -7.3015579994903714e+05 -8.0489547097351262e+05 -8.9646007016436732e+05 -1.0098252981982601e+06 -1.1518763887444348e+06 -1.3321946262049493e+06 -1.5641743178550000e+06 -1.8663008510382874e+06 -2.2631574686991475e+06 -2.7852120789785599e+06 -3.4657952936836560e+06 -4.3342546152939592e+06 -5.4058133956919350e+06 -6.6715217647805093e+06 -8.0928878505295087e+06 -9.6044785063124858e+06 -1.1124492893315129e+07 -1.2568429192917306e+07 -1.3863459821129940e+07 -1.4958034244776592e+07 -1.5826003324719490e+07 -1.6467096658498464e+07 -1.6903591009803478e+07 -1.7171786890792742e+07 -1.7315535212976262e+07 -1.7376823361962419e+07 -1.7390012066236418e+07 -1.7378813626359846e+07 -1.7363724473619424e+07 -1.7345789784790691e+07 -1.7326317965762038e+07 -1.7305462015587907e+07 -1.7283797451504234e+07 -1.7260964428749867e+07 -1.7236954471024219e+07 -1.7210810601277731e+07 -1.7182827667166803e+07 -1.7152490283039331e+07 -1.7119395766590849e+07 -1.7083054769148145e+07 -1.7042915995910931e+07 -1.6998349139168132e+07 -1.6948649232517809e+07 -1.6893066435971670e+07 -1.6830743045692489e+07 -1.6760774031383827e+07 -1.6682185471788734e+07 -1.6593972931791170e+07 -1.6495128959700558e+07 -1.6384695161834247e+07 -1.6262056796889067e+07 -1.6126143996267710e+07 -1.5976965177304618e+07 -1.5814865406529676e+07 -1.5641116219858389e+07 -1.5457881281976884e+07 -1.5269279200305942e+07 -1.5081582128206639e+07 -1.4904126158995239e+07 -1.4750512980787329e+07 -1.4640088349849992e+07 -1.4600526851946760e+07 -1.4671570903926199e+07 -1.4911521690866357e+07 -1.5408700519917298e+07 -1.6303012263434721e+07 -1.7828874495266248e+07 7.5108271582889941e+05 +5.3763432881074193e-02 -3.1875069524359150e+05 -1.9126182704076258e+05 2.7435023431195517e+04 3.1057349609602778e+05 5.8596769698556012e+05 7.4531355468907650e+05 7.3999298682516406e+05 6.5006463985029690e+05 5.5738854108334077e+05 4.7837581283000502e+05 4.0305587732657185e+05 3.3001437259816244e+05 2.6123550524549757e+05 1.9738783385976913e+05 1.3826341233584989e+05 8.4205520804192682e+04 3.5448073877685463e+04 -8.3514701003211139e+03 -4.7679042414811884e+04 -8.2994878535523792e+04 -1.1470213828122507e+05 -1.4286784936990446e+05 -1.6497813341006482e+05 -1.7583742078160503e+05 -1.8492962965540268e+05 -2.0195272263364965e+05 -2.2132213729251196e+05 -2.3948126308772375e+05 -2.5604534989322029e+05 -2.7117818360813841e+05 -2.8508078623911209e+05 -2.9794717007128341e+05 -3.0996357570300304e+05 -3.2131097676147817e+05 -3.3216793456836726e+05 -3.4271353691837180e+05 -3.5313053373969992e+05 -3.6360866310188780e+05 -3.7434833691292803e+05 -3.8556465963394201e+05 -3.9841599919770099e+05 -4.1241168407564115e+05 -4.2791694497988670e+05 -4.4535068217811565e+05 -4.6519995788870176e+05 -4.8803882142383378e+05 -5.1455331364987226e+05 -5.4557526604862325e+05 -5.8212940277584945e+05 -6.2549578432408953e+05 -6.7731394060663844e+05 -7.3968623788907914e+05 -8.1536445537831215e+05 -9.0808090984064410e+05 -1.0228726637574735e+06 -1.1667086567655997e+06 -1.3492836576079698e+06 -1.5841435845172100e+06 -1.8899673428097470e+06 -2.2915633134836084e+06 -2.8196192856495366e+06 -3.5076084361444153e+06 -4.3848520295221722e+06 -5.4663081421746900e+06 -6.7425248569224961e+06 -8.1743635104424478e+06 -9.6957476723040361e+06 -1.1224379561424665e+07 -1.2675477258946121e+07 -1.3976156371813601e+07 -1.5074974897325160e+07 -1.5945978371806806e+07 -1.6589122496513510e+07 -1.7026906065254819e+07 -1.7295823336469892e+07 -1.7439899367679950e+07 -1.7501262712398440e+07 -1.7514381549673498e+07 -1.7503039623267192e+07 -1.7487825656064715e+07 -1.7469756031321004e+07 -1.7450142658877149e+07 -1.7429136915433940e+07 -1.7407317325093187e+07 -1.7384321099892002e+07 -1.7360139489324942e+07 -1.7333808782709174e+07 -1.7305625869885050e+07 -1.7275071680699974e+07 -1.7241740654950455e+07 -1.7205139946754090e+07 -1.7164714321387537e+07 -1.7119828984911028e+07 -1.7069773838649906e+07 -1.7013793817360222e+07 -1.6951025029938426e+07 -1.6880555978096418e+07 -1.6801405780517999e+07 -1.6712562823852994e+07 -1.6613012456617719e+07 -1.6501789453615448e+07 -1.6378274589785352e+07 -1.6241390479299420e+07 -1.6091145544235257e+07 -1.5927887317153109e+07 -1.5752896421338696e+07 -1.5568351984267235e+07 -1.5378402047307417e+07 -1.5189363604451777e+07 -1.5010639386698414e+07 -1.4855928405659871e+07 -1.4744714621765295e+07 -1.4704870414466647e+07 -1.4776422191419668e+07 -1.5018087793180075e+07 -1.5518819732053127e+07 -1.6419522749772724e+07 -1.7956289435140148e+07 7.6024313639345730e+05 +5.4094789724568798e-02 -3.2365112121169793e+05 -1.9629610617734637e+05 2.2171803632993098e+04 3.0501191013219417e+05 5.8011283118035237e+05 7.3928536069467664e+05 7.3396489114110754e+05 6.4412692612715275e+05 5.5154496489671257e+05 4.7261256378810992e+05 3.9736971039172687e+05 3.2440345592153171e+05 2.5569574939143748e+05 1.9191430139833700e+05 1.3285126579774535e+05 7.8849416746364121e+04 3.0142278412851480e+04 -1.3612449395991574e+04 -5.2900299369302244e+04 -8.8181138861165964e+04 -1.1985782692415493e+05 -1.4799743882050470e+05 -1.7008874497322101e+05 -1.8094161359307228e+05 -1.9003084745632790e+05 -2.0704490593963533e+05 -2.2640495352592063e+05 -2.4455821049726169e+05 -2.6112067342862659e+05 -2.7625639256560791e+05 -2.9016669045278936e+05 -3.0304597218898620e+05 -3.1508097845018463e+05 -3.2645330428795883e+05 -3.3734227064631443e+05 -3.4792788237270131e+05 -3.5839398740113294e+05 -3.6893163030366390e+05 -3.7974277171233582e+05 -3.9104434606907290e+05 -4.0400512528632703e+05 -4.1813184713825508e+05 -4.3379355079669802e+05 -4.5141370474113891e+05 -4.7148487475954363e+05 -4.9458778065942216e+05 -5.2141661153029586e+05 -5.5281324680916790e+05 -5.8981494747717527e+05 -6.3371757652293600e+05 -6.8618102806105069e+05 -7.4933386119668419e+05 -8.2596214513381454e+05 -9.1984455812300742e+05 -1.0360802389124315e+06 -1.1817227760210200e+06 -1.3665816288234785e+06 -1.6043557804733182e+06 -1.9139191835373517e+06 -2.3203065118134837e+06 -2.8544254548669672e+06 -3.5498897721122582e+06 -4.4359900906984210e+06 -5.5274129623747366e+06 -6.8141979171159668e+06 -8.2565546404925585e+06 -9.7877614611559622e+06 -1.1325024735367700e+07 -1.2783285644158525e+07 -1.4089607126167197e+07 -1.5192659685999591e+07 -1.6066686624410670e+07 -1.6711871747123059e+07 -1.7150936813703053e+07 -1.7420569923040338e+07 -1.7564969933067195e+07 -1.7626406017430130e+07 -1.7639453292924687e+07 -1.7627966568062764e+07 -1.7612626947958332e+07 -1.7594421572628524e+07 -1.7574665829350252e+07 -1.7553509441845279e+07 -1.7531533949215658e+07 -1.7508373600970216e+07 -1.7484019368380919e+07 -1.7457500771047108e+07 -1.7429116751542546e+07 -1.7398344534407061e+07 -1.7364775665281449e+07 -1.7327913781435400e+07 -1.7287199685917720e+07 -1.7241994073557418e+07 -1.7191581683011636e+07 -1.7135202196364488e+07 -1.7071985499430630e+07 -1.7001013589500763e+07 -1.6921298585883707e+07 -1.6831821656547777e+07 -1.6731560909539314e+07 -1.6619544249970365e+07 -1.6495147942282788e+07 -1.6357287043022932e+07 -1.6205969978129603e+07 -1.6041546760190684e+07 -1.5865307151010184e+07 -1.5679445828177800e+07 -1.5488140432999056e+07 -1.5297753053308800e+07 -1.5117753432350168e+07 -1.4961938456081349e+07 -1.4849931067841176e+07 -1.4809802556742031e+07 -1.4881864922726132e+07 -1.5125255012132030e+07 -1.5629560103077086e+07 -1.6536690447223336e+07 -1.8084423094526362e+07 7.6951448513395782e+05 +5.4428188799220283e-02 -3.2861103323702060e+05 -2.0138970052746931e+05 1.6849554236353048e+04 2.9939165557679813e+05 5.7419963934216008e+05 7.3319902407483815e+05 7.2787863231526827e+05 6.3813090819492377e+05 5.4564294662300393e+05 4.6679075274868886e+05 3.9162486585369520e+05 3.1873374872510933e+05 2.5009709537351262e+05 1.8638176845991475e+05 1.2738002141193720e+05 7.3434122124583024e+04 2.4777203845948665e+04 -1.8932793439657504e+04 -5.8181005346493621e+04 -9.3426932750233318e+04 -1.2507313565396909e+05 -1.5318673844833384e+05 -1.7525916011950112e+05 -1.8610570588034345e+05 -1.9519207639027439e+05 -2.1219723783162714e+05 -2.3154807773314673e+05 -2.4969564723471366e+05 -2.6625669359758002e+05 -2.8139553664554114e+05 -2.9531380554143823e+05 -3.0820630524099094e+05 -3.2026028464587743e+05 -3.3165796969151654e+05 -3.4257945192520105e+05 -3.5320566601936414e+05 -3.6372157276781910e+05 -3.7431954054636607e+05 -3.8520309887888626e+05 -3.9659103571647598e+05 -4.0966265969880664e+05 -4.2392208213636035e+05 -4.3974219844684028e+05 -4.5755110234258027e+05 -4.7784693159302470e+05 -5.0121715912460198e+05 -5.2836422286334960e+05 -5.6014017391141073e+05 -5.9759496396320255e+05 -6.4204045182933984e+05 -6.9515714395156072e+05 -7.5910010961152148e+05 -8.3669012005027593e+05 -9.3175276549552311e+05 -1.0494499831831437e+06 -1.1969209629271163e+06 -1.3840910715563835e+06 -1.6248138203882503e+06 -1.9381597414538499e+06 -2.3493909445235827e+06 -2.8896350050267875e+06 -3.5926442247551680e+06 -4.4876741246336903e+06 -5.5891334249589946e+06 -6.8865465734615391e+06 -8.3394667626811396e+06 -9.8805251719530709e+06 -1.1426433433756763e+07 -1.2891859080224779e+07 -1.4203816556602718e+07 -1.5311092868307484e+07 -1.6188132173233775e+07 -1.6835348378876340e+07 -1.7275687139084343e+07 -1.7546030479116894e+07 -1.7690750703584783e+07 -1.7752257051232625e+07 -1.7765231057821650e+07 -1.7753598214345634e+07 -1.7738132098096173e+07 -1.7719790153036799e+07 -1.7699891217091270e+07 -1.7678583330118947e+07 -1.7656451054503929e+07 -1.7633125657692555e+07 -1.7608597828717563e+07 -1.7581890281171463e+07 -1.7553304020950876e+07 -1.7522312546425395e+07 -1.7488504492758840e+07 -1.7451379960484907e+07 -1.7410375768119622e+07 -1.7364848074142110e+07 -1.7314076423894264e+07 -1.7257295219267726e+07 -1.7193628087024733e+07 -1.7122150483335432e+07 -1.7041867488653880e+07 -1.6951753011574525e+07 -1.6850777878878918e+07 -1.6737963087479720e+07 -1.6612680364452031e+07 -1.6473837168160727e+07 -1.6321441927535500e+07 -1.6155847149164939e+07 -1.5978351784927860e+07 -1.5791166150215939e+07 -1.5598497653188800e+07 -1.5406753730057649e+07 -1.5225471512933502e+07 -1.5068546315867472e+07 -1.4955740848065220e+07 -1.4915326430239832e+07 -1.4987902264630033e+07 -1.5233026566275463e+07 -1.5740924958862415e+07 -1.6654518874690725e+07 -1.8213279321732342e+07 7.7889809052704822e+05 +5.4763642691785741e-02 -3.3363116897362540e+05 -2.0654334148294621e+05 1.1467538021732198e+04 2.9371199248998205e+05 5.6822737693974620e+05 7.2705380302258267e+05 7.2173346165583131e+05 6.3207584926825436e+05 5.3968174870314472e+05 4.6090964128914103e+05 3.8582060575864738e+05 3.1300451340838533e+05 2.4443880582563634e+05 1.8078949780974386e+05 1.2184894207313185e+05 6.7958899859242447e+04 1.9352113041513116e+04 -2.4313239508750976e+04 -6.3521897859205630e+04 -9.8732998055326127e+04 -1.3034880277663436e+05 -1.5843648713717618e+05 -1.8049011845115255e+05 -1.9133043812193157e+05 -2.0041405800989459e+05 -2.1741046118633199e+05 -2.3675225439593385e+05 -2.5489431970582809e+05 -2.7145415909505740e+05 -2.8659636725610559e+05 -3.0052288612097793e+05 -3.1342892762785812e+05 -3.2550225714803144e+05 -3.3692574107138923e+05 -3.4788025266315887e+05 -3.5854766934525577e+05 -3.6911407980692125e+05 -3.7977319373779360e+05 -3.9073012996706826e+05 -4.0220555377064232e+05 -4.1538944489140081e+05 -4.2978325197003828e+05 -4.4576377503738226e+05 -4.6376379075901129e+05 -4.8428707813045633e+05 -5.0792794682851975e+05 -5.3539718545453693e+05 -5.6755714198474272e+05 -6.0547061457683786e+05 -6.5046565351572342e+05 -7.0424362866030447e+05 -7.6898644055220834e+05 -8.4754997929821769e+05 -9.4380730383421818e+05 -1.0629838799334229e+06 -1.2123054606842764e+06 -1.4018145477556279e+06 -1.6455206531224914e+06 -1.9626924231734953e+06 -2.3788205347832791e+06 -2.9252523998903232e+06 -3.6358767639473500e+06 -4.5399095030576941e+06 -5.6514751417076550e+06 -6.9595764929903448e+06 -8.4231054332798868e+06 -9.9740441336943265e+06 -1.1528610701509973e+07 -1.3001202322502652e+07 -1.4318789157349529e+07 -1.5430278722450670e+07 -1.6310319128992472e+07 -1.6959556379860461e+07 -1.7401160944690425e+07 -1.7672208852457184e+07 -1.7817245492811374e+07 -1.7878819606974680e+07 -1.7891718625264790e+07 -1.7879938334716320e+07 -1.7864344874215107e+07 -1.7845865535748389e+07 -1.7825822580868732e+07 -1.7804362334465150e+07 -1.7782072390428789e+07 -1.7758581014564063e+07 -1.7733878609629598e+07 -1.7706981046691734e+07 -1.7678191405677490e+07 -1.7646979437738270e+07 -1.7612930851161767e+07 -1.7575542189822759e+07 -1.7534246265215483e+07 -1.7488394674197920e+07 -1.7437261738036785e+07 -1.7380076550758176e+07 -1.7315956443861969e+07 -1.7243970295572635e+07 -1.7163116107778039e+07 -1.7072360488750819e+07 -1.6970666942986939e+07 -1.6857049520522464e+07 -1.6730875384109614e+07 -1.6591044353021080e+07 -1.6437564858405765e+07 -1.6270791914862650e+07 -1.6092033716202350e+07 -1.5903516303731270e+07 -1.5709477020307602e+07 -1.5516368906437514e+07 -1.5333796861676011e+07 -1.5175755184893876e+07 -1.5062147138362158e+07 -1.5021445202310678e+07 -1.5094537399889132e+07 -1.5341405690455439e+07 -1.5852917642092017e+07 -1.6773011568893330e+07 -1.8342861984431759e+07 7.8839529668254510e+05 +5.5101164066597437e-02 -3.3871227128250303e+05 -2.1175777877358967e+05 6.0250088940205696e+03 2.8797217002287623e+05 5.6219529932670237e+05 7.2084895124142198e+05 7.1552863250581268e+05 6.2596099743428733e+05 5.3366062274753721e+05 4.5496848202215729e+05 3.7995618302461936e+05 3.0721500323756784e+05 2.3872013423350904e+05 1.7513674311405933e+05 1.1625728157760196e+05 6.2423003769315270e+04 1.3866259760368857e+04 -2.9754533987518978e+04 -6.8923723531474738e+04 -1.0410008174538812e+05 -1.3568557572009048e+05 -1.6374743290057764e+05 -1.8578236870897919e+05 -1.9661655994770856e+05 -2.0569754303428525e+05 -2.2268532806587193e+05 -2.4201823720100618e+05 -2.6015498354492101e+05 -2.7671382787172927e+05 -2.9185964509444399e+05 -3.0579469613570138e+05 -3.1871460712484288e+05 -3.3080766824248561e+05 -3.4225739601942891e+05 -3.5324545668552740e+05 -3.6395468349350482e+05 -3.7457230824492674e+05 -3.8529339966622426e+05 -3.9632468655350292e+05 -4.0788873561610514e+05 -4.2118633372223610e+05 -4.3571623019016325e+05 -4.5185917862399574e+05 -4.7005269706521754e+05 -4.9080627582811960e+05 -5.1472114598899096e+05 -5.4251654990140127e+05 -5.7506525914520281e+05 -6.1344307597525243e+05 -6.5899444015280646e+05 -7.1344183904496999e+05 -7.7899432932867145e+05 -8.5854334164274973e+05 -9.5600996666472068e+05 -1.0766839366534471e+06 -1.2278785395903548e+06 -1.4197546499720316e+06 -1.6664792620988844e+06 -1.9875206740899812e+06 -2.4085992485101903e+06 -2.9612821489639585e+06 -3.6795924066155693e+06 -4.5927016439106883e+06 -5.7144437677391376e+06 -7.0332933818228915e+06 -8.5074762429154813e+06 -1.0068323705303675e+07 -1.1631561609892223e+07 -1.3111320149981141e+07 -1.4434529444536101e+07 -1.5550221547365859e+07 -1.6433251622405794e+07 -1.7084499757821459e+07 -1.7527362153143175e+07 -1.7799108910083499e+07 -1.7944458133384202e+07 -1.8006097496919006e+07 -1.8018919795130964e+07 -1.8006990720709749e+07 -1.7991269063020803e+07 -1.7972651502952177e+07 -1.7952463698371440e+07 -1.7930850227947891e+07 -1.7908401725348692e+07 -1.7884743434961930e+07 -1.7859865469224196e+07 -1.7832776820029382e+07 -1.7803782652026281e+07 -1.7772348948039461e+07 -1.7738058472963147e+07 -1.7700404193988625e+07 -1.7658814893014818e+07 -1.7612637579826873e+07 -1.7561141320675593e+07 -1.7503549873956375e+07 -1.7438974239528283e+07 -1.7366476680517726e+07 -1.7285048080405548e+07 -1.7193647706011832e+07 -1.7091231698239859e+07 -1.6976807121443454e+07 -1.6849736546784442e+07 -1.6708912113536229e+07 -1.6554342254119920e+07 -1.6386384505343206e+07 -1.6206356354995701e+07 -1.6016499658948407e+07 -1.5821081863455677e+07 -1.5626601870623026e+07 -1.5442732728025725e+07 -1.5283568279160738e+07 -1.5169153130649380e+07 -1.5128162056242602e+07 -1.5201773527310450e+07 -1.5450395635747895e+07 -1.5965541512268448e+07 -1.6892172084288459e+07 -1.8473174969774198e+07 7.9800746352220443e+05 +5.5440765666040934e-02 -3.4385508910211833e+05 -2.1703376092083953e+05 5.2121165739846958e+02 2.8217143530328997e+05 5.5610264365089906e+05 7.1458371875185007e+05 7.0926338800857507e+05 6.1978559876421886e+05 5.2757881085144950e+05 4.4896651791357785e+05 3.7403084119808720e+05 3.0136446221857233e+05 2.3294032482604941e+05 1.6942274884225146e+05 1.1060428450171993e+05 5.6825678460531795e+04 8.3188885485461615e+03 -3.5257432478026327e+04 -7.4387238209589108e+04 -1.0952894001655263e+05 -1.4108421114555327e+05 -1.6912033299326518e+05 -1.9113666888471940e+05 -2.0196483025143639e+05 -2.1104329146227575e+05 -2.2802259982886596e+05 -2.4734678915254402e+05 -2.6547840372771217e+05 -2.8203646724827134e+05 -2.9718614026136533e+05 -3.1113000897364970e+05 -3.2406412099612691e+05 -3.3617729975921492e+05 -3.4765372173587640e+05 -3.5867585750201048e+05 -3.6942750938051991e+05 -3.8009706768625241e+05 -3.9088097812041536e+05 -4.0198760036162770e+05 -4.1364142695066013e+05 -4.2705418957646808e+05 -4.4172190112918481e+05 -4.5802931834297813e+05 -4.7641875977392506e+05 -4.9740549800048181e+05 -5.2159777117934177e+05 -5.4972337974962895e+05 -5.8266564715961087e+05 -6.2151353930055560e+05 -6.6762808579550369e+05 -7.2275314864018071e+05 -7.8912526935932052e+05 -8.6967184568066557e+05 -9.6836256942259893e+05 -1.0905521852496036e+06 -1.2436424973568474e+06 -1.4379140016975568e+06 -1.6876926656948123e+06 -2.0126479787858569e+06 -2.4387310947872442e+06 -2.9977288079180242e+06 -3.7237962170890854e+06 -4.6460560116329677e+06 -5.7780450017213766e+06 -7.1077029853011044e+06 -8.5925848166566417e+06 -1.0163369275719026e+07 -1.1735291256537879e+07 -1.3222217365380233e+07 -1.4551041956157060e+07 -1.5670925662727075e+07 -1.6556933804257268e+07 -1.7210182540064991e+07 -1.7654294706413537e+07 -1.7926734538179725e+07 -1.8072392477109738e+07 -1.8134094552348770e+07 -1.8146838386303339e+07 -1.8134759182866324e+07 -1.8118908470138382e+07 -1.8100151855707902e+07 -1.8079818366216972e+07 -1.8058050802534349e+07 -1.8035442846441574e+07 -1.8011616701086786e+07 -1.7986562184406012e+07 -1.7959281372345589e+07 -1.7930081525060907e+07 -1.7898424835741505e+07 -1.7863891109356005e+07 -1.7825969716205478e+07 -1.7784085385912407e+07 -1.7737580515695471e+07 -1.7685718885577206e+07 -1.7627718890443746e+07 -1.7562685161897320e+07 -1.7489673310723044e+07 -1.7407667061885845e+07 -1.7315618299372621e+07 -1.7212475759025741e+07 -1.7097239480405107e+07 -1.6969267415792864e+07 -1.6827443983220398e+07 -1.6671777615520958e+07 -1.6502628385910392e+07 -1.6321323128544983e+07 -1.6130119602944765e+07 -1.5933315528393807e+07 -1.5737455927252358e+07 -1.5552282377752444e+07 -1.5391988830761025e+07 -1.5276762032815930e+07 -1.5235480191267686e+07 -1.5309613861685634e+07 -1.5559999669564584e+07 -1.6078799945689701e+07 -1.7012003993167415e+07 -1.8604222184374999e+07 8.0773596696044167e+05 +5.5782460311036161e-02 -3.4906039428294421e+05 -2.2237205760384965e+05 -5.0446181849986424e+03 2.7630902254036127e+05 5.4994865542613587e+05 7.0825731461662205e+05 7.0293696275623550e+05 6.1354888201656716e+05 5.2143554712313478e+05 4.4290298312732647e+05 3.6804381448913034e+05 2.9545212503888272e+05 2.2709861248467126e+05 1.6364675015947616e+05 1.0488918608673904e+05 5.1166159212827159e+04 2.7092346249321740e+03 -4.0822699912444514e+04 -7.9913207074764097e+04 -1.1502033840450994e+05 -1.4654547506006956e+05 -1.7455595402374613e+05 -1.9655378633331865e+05 -2.0737601730309380e+05 -2.1645207268433322e+05 -2.3342304724453922e+05 -2.5273868268547466e+05 -2.7086535468560021e+05 -2.8742285402959114e+05 -3.0257663237556268e+05 -3.1652960757952294e+05 -3.2947825611111755e+05 -3.4161194318915263e+05 -3.5311551514685282e+05 -3.6417225842527905e+05 -3.7496695781583263e+05 -3.8568917773399467e+05 -3.9653675901348074e+05 -4.0771971338238870e+05 -4.1946448391298344e+05 -4.3299388649599254e+05 -4.4780116003214271e+05 -4.6427511454783729e+05 -4.8286292897335911e+05 -5.0408572996281221e+05 -5.2855884948073525e+05 -5.5701875165087054e+05 -5.9035944161174586e+05 -6.2968321035877825e+05 -6.7636788017056265e+05 -7.3217894786020089e+05 -7.9938077238923637e+05 -8.8093715007754671e+05 -9.8086694971261022e+05 -1.1045906823284624e+06 -1.2595996594313104e+06 -1.4562952577246127e+06 -1.7091639176198824e+06 -2.0380778614388064e+06 -2.4692201262755929e+06 -3.0345969789628130e+06 -3.7684933074743417e+06 -4.6999781174528012e+06 -5.8422845861024410e+06 -7.1828110881604170e+06 -8.6784368141245842e+06 -1.0259186263948947e+07 -1.1839804765522266e+07 -1.3333898795155907e+07 -1.4668331252115987e+07 -1.5792395408925453e+07 -1.6681369845328689e+07 -1.7336608773524038e+07 -1.7781962565894142e+07 -1.8055089642150030e+07 -1.8201052394868463e+07 -1.8262814623619158e+07 -1.8275478236705478e+07 -1.8263247550713181e+07 -1.8247266920208156e+07 -1.8228370414069075e+07 -1.8207890399916675e+07 -1.8185967869102675e+07 -1.8163199559787143e+07 -1.8139204613982819e+07 -1.8113972550945505e+07 -1.8086498493671734e+07 -1.8057091808594391e+07 -1.8025210877999641e+07 -1.7990432530181222e+07 -1.7952242518332671e+07 -1.7910061496944863e+07 -1.7863227224983718e+07 -1.7810998164991770e+07 -1.7752587320233993e+07 -1.7687092917282932e+07 -1.7613563877094809e+07 -1.7530976725823417e+07 -1.7438275923010308e+07 -1.7334402757719159e+07 -1.7218350205485646e+07 -1.7089471572166443e+07 -1.6946643513179164e+07 -1.6789874460873593e+07 -1.6619527039156653e+07 -1.6436937481165268e+07 -1.6244379539704699e+07 -1.6046181377561040e+07 -1.5848934397456568e+07 -1.5662449092861870e+07 -1.5501020087876668e+07 -1.5384977068745738e+07 -1.5343402822580319e+07 -1.5418061633826960e+07 -1.5670221075520653e+07 -1.6192696335517554e+07 -1.7132510885618065e+07 -1.8736007554310396e+07 8.1758219908701035e+05 +5.6126260901521417e-02 -3.5432895078416803e+05 -2.2777343778144833e+05 -1.0673254625894702e+04 2.7038415384076297e+05 5.4373253832395282e+05 7.0186898656353366e+05 6.9654857381142350e+05 6.0725007128195290e+05 5.1523005631557695e+05 4.3677710246122087e+05 3.6199432780135534e+05 2.8947721695596224e+05 2.2119422266997400e+05 1.5780797280261328e+05 9.9111212131205146e+04 4.5443671867050245e+04 -2.9634762323052091e+03 -4.6451110666786451e+04 -8.5502404757097043e+04 -1.2057505189832747e+05 -1.5207014293088004e+05 -1.8005507206888875e+05 -2.0203449788760263e+05 -2.1285089886387368e+05 -2.2192466559722344e+05 -2.3888745060702218e+05 -2.5819469978106991e+05 -2.7631662041987968e+05 -2.9287377461961540e+05 -3.0803191068919620e+05 -3.2199428457304707e+05 -3.3495780906089320e+05 -3.4711239980162936e+05 -3.5864358302322688e+05 -3.6973547269046644e+05 -3.8057384962214594e+05 -3.9134946811297664e+05 -4.0226158250529022e+05 -4.1352187800258660e+05 -4.2535877320898039e+05 -4.3900630931063741e+05 -4.5395491319057747e+05 -4.7059749894553359e+05 -4.8938616646887764e+05 -5.1084796918082528e+05 -5.3560542063386657e+05 -5.6440375552108523e+05 -5.9814779207077017e+05 -6.3795330979765416e+05 -6.8521512886595936e+05 -7.4172064420259837e+05 -8.0976236871337611e+05 -8.9234093381112721e+05 -9.9352496757822635e+05 -1.1188015094973859e+06 -1.2757523793224890e+06 -1.4749011045095581e+06 -1.7308961073159291e+06 -2.0638138862425385e+06 -2.5000704396374184e+06 -3.0718913112688903e+06 -3.8136888379862974e+06 -4.7544735196731491e+06 -5.9071683072962863e+06 -7.2586235146508580e+06 -8.7650379296027850e+06 -1.0355780119121574e+07 -1.1945107287346667e+07 -1.3446369289476624e+07 -1.4786401914247254e+07 -1.5914635147128619e+07 -1.6806563936483674e+07 -1.7463782524787929e+07 -1.7910369712296881e+07 -1.8184178146685857e+07 -1.8330441776728317e+07 -1.8392261580200337e+07 -1.8404843203291364e+07 -1.8392459672781888e+07 -1.8376348256805565e+07 -1.8357311017037008e+07 -1.8336683633941259e+07 -1.8314605257404186e+07 -1.8291675690337092e+07 -1.8267510993551981e+07 -1.8242100383412886e+07 -1.8214431992793579e+07 -1.8184817305286292e+07 -1.8152710870713100e+07 -1.8117686524012264e+07 -1.8079226380889583e+07 -1.8036746997755084e+07 -1.7989581469515905e+07 -1.7936982909687433e+07 -1.7878158901797883e+07 -1.7812201230355129e+07 -1.7738152088861603e+07 -1.7654980764027808e+07 -1.7561624249200076e+07 -1.7457016344749983e+07 -1.7340142922677495e+07 -1.7210352614752866e+07 -1.7066514272192374e+07 -1.6908636325930517e+07 -1.6737083964939421e+07 -1.6553202874288799e+07 -1.6359282890094919e+07 -1.6159682790098678e+07 -1.5961040618820278e+07 -1.5773236171686377e+07 -1.5610665314840462e+07 -1.5493801478335502e+07 -1.5451933181289045e+07 -1.5527120090607315e+07 -1.5781063153612176e+07 -1.6307234091724107e+07 -1.7253696369531747e+07 -1.8868535025154971e+07 8.2754756835165643e+05 +5.6472180416940410e-02 -3.5966154367559205e+05 -2.3323868409107349e+05 -1.6365480966738483e+04 2.6439604706060368e+05 5.3745352484700456e+05 6.9541793485562166e+05 6.9009743757243978e+05 6.0088838220249186e+05 5.0896155276698357e+05 4.3058809100509976e+05 3.5588159668832342e+05 2.8343895365621545e+05 2.1522637134803546e+05 1.5190563295513095e+05 9.3269578888053831e+04 3.9657432710499350e+04 -8.7000278005247892e+03 -5.2143448675713225e+04 -9.1155615450583980e+04 -1.2619386505591312e+05 -1.5765899980091237e+05 -1.8561847278876943e+05 -2.0757958997415166e+05 -2.1839026230150458e+05 -2.2746185872064278e+05 -2.4441659985206320e+05 -2.6371563208282244e+05 -2.8183299461954879e+05 -2.9839002513979154e+05 -3.1355277420643944e+05 -3.2752484236624680e+05 -3.4050358627828455e+05 -3.5267948076278163e+05 -3.6423874210069928e+05 -3.7536632357552875e+05 -3.8624901575893298e+05 -3.9707877879248385e+05 -4.0805629912699125e+05 -4.1939495712989208e+05 -4.3132517224143050e+05 -4.4509235376625444e+05 -4.6018407807646209e+05 -4.7699741473427456e+05 -4.9598944592753641e+05 -5.1769322541515820e+05 -5.4273853719236213e+05 -5.7187949470586458e+05 -6.0603186226080614e+05 -6.4632507328676502e+05 -6.9417115352676250e+05 -7.5137966245672526e+05 -8.2027160740011884e+05 -9.0388489641540474e+05 -1.0063385057688931e+06 -1.1331867736554625e+06 -1.2921030389271374e+06 -1.4937342605245442e+06 -1.7528923603394870e+06 -2.0898596578158389e+06 -2.5312861759562669e+06 -3.1096165013607075e+06 -3.8593880173186762e+06 -4.8095478239780301e+06 -5.9727019959276691e+06 -7.3351461287237378e+06 -8.8523938920662422e+06 -1.0453156320545776e+07 -1.2051203999001430e+07 -1.3559633722336149e+07 -1.4905258546319172e+07 -1.6037649259280758e+07 -1.6932520288624544e+07 -1.7591707880076062e+07 -1.8039520145775761e+07 -1.8314003995688230e+07 -1.8460564531865381e+07 -1.8522439310615230e+07 -1.8534937162060738e+07 -1.8522399416592710e+07 -1.8506156342531025e+07 -1.8486977522557139e+07 -1.8466201921679743e+07 -1.8443966816158298e+07 -1.8420875081976648e+07 -1.8396539678622235e+07 -1.8370949515236370e+07 -1.8343085697323725e+07 -1.8313261836471815e+07 -1.8280928628519736e+07 -1.8245656898148496e+07 -1.8206925103090972e+07 -1.8164145678639684e+07 -1.8116647029681444e+07 -1.8063676888979789e+07 -1.8004437392099489e+07 -1.7938013844231490e+07 -1.7863441673519280e+07 -1.7779682886540327e+07 -1.7685666968394604e+07 -1.7580320188575819e+07 -1.7462621275891632e+07 -1.7331914160163593e+07 -1.7187059846624646e+07 -1.7028066763892833e+07 -1.6855302680428054e+07 -1.6670122786428086e+07 -1.6474833091874236e+07 -1.6273823161837501e+07 -1.6073777945437787e+07 -1.5884646928806264e+07 -1.5720927792078445e+07 -1.5603238517449811e+07 -1.5561074514512103e+07 -1.5636792494920578e+07 -1.5892529220094502e+07 -1.6422416641149253e+07 -1.7375564070637822e+07 -1.9001808562000275e+07 8.3763349975080742e+05 +5.6820231916732238e-02 -3.6505896700728836e+05 -2.3876859139214730e+05 -2.2122090489285714e+04 2.5834390528079320e+05 5.3111080753348581e+05 6.8890336647283623e+05 6.8358275953621662e+05 5.9446302131235553e+05 5.0262924098142388e+05 4.2433515402573324e+05 3.4970482705513429e+05 2.7733654114817781e+05 2.0919426487311989e+05 1.4593893712407380e+05 8.7363492956649949e+04 3.3806648361264393e+04 -1.4501213528835786e+04 -5.7900507548825241e+04 -9.6873633029659162e+04 -1.3187757212134221e+05 -1.6331284040629148e+05 -1.9124695154429018e+05 -2.1318985873036593e+05 -2.2399490470760260e+05 -2.3306445031367565e+05 -2.5001129467367660e+05 -2.6930228101512243e+05 -2.8741528077919106e+05 -3.0397241154636652e+05 -3.1914003180140455e+05 -3.3312209328349406e+05 -3.4611640415574313e+05 -3.5831400725876418e+05 -3.6990181920078699e+05 -3.8106564452479157e+05 -3.9199329744491621e+05 -4.0287796011084865e+05 -4.1392176990948408e+05 -4.2533982432166574e+05 -4.3736456923943985e+05 -4.5125292666204518e+05 -4.6648958348056366e+05 -4.8347581674565806e+05 -5.0267375302039698e+05 -5.2462252087525127e+05 -5.4995926468149212e+05 -5.7944708613936894e+05 -6.1401283023496717e+05 -6.5479975169893622e+05 -7.0323729204853659e+05 -7.6115744491243805e+05 -8.3091005651778635e+05 -9.1557075822915591e+05 -1.0193094700083561e+06 -1.1477486072964238e+06 -1.3086540488645250e+06 -1.5127974766310793e+06 -1.7751558387703539e+06 -2.1162188216309068e+06 -2.5628715211706841e+06 -3.1477772935283841e+06 -3.9055961030089445e+06 -4.8652066836978141e+06 -6.0388915270422027e+06 -7.4123848341143075e+06 -8.9405104653495923e+06 -1.0551320377767468e+07 -1.2158100104001891e+07 -1.3673696991494516e+07 -1.5024905774049303e+07 -1.6161442148101224e+07 -1.7059243132767476e+07 -1.7720388945267912e+07 -1.8169417885878414e+07 -1.8444571152282696e+07 -1.8591424588670526e+07 -1.8653351722484607e+07 -1.8665764008053973e+07 -1.8653070668705456e+07 -1.8636695058973819e+07 -1.8617373807577811e+07 -1.8596449135516807e+07 -1.8574056412975527e+07 -1.8550801597459394e+07 -1.8526294526830208e+07 -1.8500523798710529e+07 -1.8472463453712016e+07 -1.8442429242369391e+07 -1.8409867984840438e+07 -1.8374347478607029e+07 -1.8335342502846688e+07 -1.8292261348514214e+07 -1.8244427704429798e+07 -1.8191083890718028e+07 -1.8131426566553410e+07 -1.8064534520377479e+07 -1.7989436376936417e+07 -1.7905086821661249e+07 -1.7810407789156724e+07 -1.7704317975682110e+07 -1.7585788926928595e+07 -1.7454159842763696e+07 -1.7308283840500228e+07 -1.7148169345430192e+07 -1.6974186720069095e+07 -1.6787700713207960e+07 -1.6591033599731857e+07 -1.6388605905298652e+07 -1.6187149747895999e+07 -1.5996684695158461e+07 -1.5831810816189604e+07 -1.5713291458019609e+07 -1.5670830085304720e+07 -1.5747082125706214e+07 -1.6004622607524065e+07 -1.6538247427465664e+07 -1.7498117632489096e+07 -1.9135832149372954e+07 8.4784143501625478e+05 +5.7170428540824436e-02 -3.7052201733858959e+05 -2.4436395777046718e+05 -2.7943885945662369e+04 2.5222692439926928e+05 5.2470358341933868e+05 6.8232447293618042e+05 6.7700373487224977e+05 5.8797317917193193e+05 4.9623231497751019e+05 4.1801748721058917e+05 3.4346321484356310e+05 2.7116917567001760e+05 2.0309709982895036e+05 1.3990708201869985e+05 8.1392151164953873e+04 2.7890515651107507e+04 -2.0367836655881973e+04 -6.3723090688591168e+04 -1.0265726116761149e+05 -1.3762697714264831e+05 -1.6903246929369165e+05 -1.9694131351517359e+05 -2.1886611012325811e+05 -2.2966563301693011e+05 -2.3873324849497117e+05 -2.5567234464389010e+05 -2.7495545790193102e+05 -2.9306429231800738e+05 -3.0962174975113786e+05 -3.2479450234004302e+05 -3.3878685968122591e+05 -3.5179708916908747e+05 -3.6401681061535660e+05 -3.7563365135474002e+05 -3.8683427927338547e+05 -3.9780754628420284e+05 -4.0874787290340255e+05 -4.1985886650936393e+05 -4.3135736391605175e+05 -4.4347786339265242e+05 -4.5748894598304597e+05 -4.7287236964731739e+05 -4.9003367158575915e+05 -5.0944008557094191e+05 -5.3163689036839234e+05 -5.5726868175434403e+05 -5.8710766051401640e+05 -6.2209188854778733e+05 -6.6337861129929230e+05 -7.1241489877176913e+05 -7.7105545157074661e+05 -8.4167930336359201e+05 -9.2740026064355765e+05 -1.0324397892774222e+06 -1.1624891688112768e+06 -1.3254078488086071e+06 -1.5320935364454600e+06 -1.7976897416073864e+06 -2.1428950644307681e+06 -2.5948307064936035e+06 -3.1863784802343999e+06 -3.9523184017798454e+06 -4.9214558001235407e+06 -6.1057428202987127e+06 -7.4903455745583782e+06 -9.0293934481831491e+06 -1.0650277830621218e+07 -1.2265800832422640e+07 -1.3788564018536193e+07 -1.5145348245130025e+07 -1.6286018237119239e+07 -1.7186736719971839e+07 -1.7849829845898222e+07 -1.8300066971537668e+07 -1.8575883598900728e+07 -1.8723025894624535e+07 -1.8785002742556199e+07 -1.8797327655388720e+07 -1.8784477334690131e+07 -1.8767968306679804e+07 -1.8748503767991278e+07 -1.8727429166749123e+07 -1.8704877934436105e+07 -1.8681459118477792e+07 -1.8656779414735787e+07 -1.8630827104946949e+07 -1.8602569127206281e+07 -1.8572323381959777e+07 -1.8539532791851528e+07 -1.8503762110124014e+07 -1.8464482416723844e+07 -1.8421097834954269e+07 -1.8372927311345354e+07 -1.8319207721283074e+07 -1.8259130219073910e+07 -1.8191767038731370e+07 -1.8116139963324096e+07 -1.8031196315963995e+07 -1.7935850438259240e+07 -1.7829013410615075e+07 -1.7709649555565927e+07 -1.7577093314780891e+07 -1.7430189875498731e+07 -1.7268947658729762e+07 -1.7093739635621898e+07 -1.6905940167368680e+07 -1.6707887885248207e+07 -1.6504034449689617e+07 -1.6301159413278021e+07 -1.6109352817945372e+07 -1.5943317699889373e+07 -1.5823963587929180e+07 -1.5781203172713948e+07 -1.5857992277981611e+07 -1.6117346664796952e+07 -1.6654729911218863e+07 -1.7621360716481522e+07 -1.9270609791365743e+07 8.5817283280587837e+05 +5.7522783510129044e-02 -3.7605151152999536e+05 -2.5002559829210467e+05 -3.3831679903998236e+04 2.4604429253669255e+05 5.1823103549268463e+05 6.7568044166526792e+05 6.7035954575051391e+05 5.8141804307677865e+05 4.8976996056800481e+05 4.1163427641653013e+05 3.3715594606158487e+05 2.6493604359636758e+05 1.9693406288221455e+05 1.3380925442927450e+05 7.5354740442795999e+04 2.1908221506415561e+04 -2.6300710329468122e+04 -6.9612011409550920e+04 -1.0850731345474882e+05 -1.4344289409276450e+05 -1.7481870094071605e+05 -2.0270237382043398e+05 -2.2460916006936054e+05 -2.3540326412630657e+05 -2.4446907136169812e+05 -2.6140056933305968e+05 -2.8067598408757424e+05 -2.9878085270206025e+05 -3.1533886574235698e+05 -3.3051701479998272e+05 -3.4451997407298244e+05 -3.5754647799964447e+05 -3.6978873242329661e+05 -3.8143508592782571e+05 -3.9267308197087259e+05 -4.0369262439156952e+05 -4.1468938862923149e+05 -4.2586847133995849e+05 -4.3744847116137983e+05 -4.4966596498369996e+05 -4.6380134103737539e+05 -4.7933338841898117e+05 -4.9667195777739456e+05 -5.1628945370358735e+05 -5.3873738145425648e+05 -5.6466788035270013e+05 -5.9486236244510300e+05 -6.3027024443356169e+05 -6.7206293392761482e+05 -7.2170534468702646e+05 -7.8107516036146251e+05 -8.5258095470031619e+05 -9.3937516635961644e+05 -1.0457314160862579e+06 -1.1774106427962584e+06 -1.3423669078277571e+06 -1.5516252567155818e+06 -1.8204973051735226e+06 -2.1698921146675302e+06 -2.6271680088563841e+06 -3.2254249025208522e+06 -3.9995602699196888e+06 -4.9783009227847969e+06 -6.1732618402010715e+06 -7.5690343338769283e+06 -9.1190486743099317e+06 -1.0750034249289962e+07 -1.2374311440905860e+07 -1.3904239748865802e+07 -1.5266590629238613e+07 -1.6411381970659221e+07 -1.7315005321412355e+07 -1.7980034727156434e+07 -1.8431471461137719e+07 -1.8707945337190330e+07 -1.8855372416436218e+07 -1.8917396316662006e+07 -1.8929632037251774e+07 -1.8916623339175951e+07 -1.8899980005272526e+07 -1.8880371318718668e+07 -1.8859145925667699e+07 -1.8836435286036350e+07 -1.8812851545621138e+07 -1.8787998237790067e+07 -1.8761863323996622e+07 -1.8733406601943869e+07 -1.8702948133040398e+07 -1.8669926920501709e+07 -1.8633904656195819e+07 -1.8594348700023852e+07 -1.8550658984178152e+07 -1.8502149686602138e+07 -1.8448052205635916e+07 -1.8387552162047427e+07 -1.8319715197638467e+07 -1.8243556215210725e+07 -1.8158015134242974e+07 -1.8061998660590764e+07 -1.7954410215982810e+07 -1.7834206859462019e+07 -1.7700718246188961e+07 -1.7552781590921875e+07 -1.7390405309445001e+07 -1.7213964996159505e+07 -1.7024844678771991e+07 -1.6825399436928045e+07 -1.6620112240980655e+07 -1.6415810345188225e+07 -1.6222654660695195e+07 -1.6055451772046719e+07 -1.5935258211153619e+07 -1.5892197071763668e+07 -1.5969526262803275e+07 -1.6230704757118810e+07 -1.6771867569811942e+07 -1.7745297001850881e+07 -1.9406145511548907e+07 8.6862916889646591e+05 +5.7877310127041733e-02 -3.8164826554780250e+05 -2.5575433188036838e+05 -3.9786295278631536e+04 2.3979518613868035e+05 5.1169234881322953e+05 6.6897044757943880e+05 6.6364936671146262e+05 5.7479678855063452e+05 4.8324135423776839e+05 4.0518469683650526e+05 3.3078219690050074e+05 2.5863632131392934e+05 1.9070433065730776e+05 1.2764463111472635e+05 6.9250437691603540e+04 1.5858942826720442e+04 -3.2300657728050151e+04 -7.5568093060107989e+04 -1.1442461352115826e+05 -1.4932614698949683e+05 -1.8067235987753636e+05 -2.0853095763929706e+05 -2.3041983455687528e+05 -2.4120862501718404e+05 -2.5027274711265380e+05 -2.6719679843157216e+05 -2.8646469105967961e+05 -3.0456579556556366e+05 -3.2112459570835758e+05 -3.3630840839631716e+05 -3.5032227924949088e+05 -3.6336541765860643e+05 -3.7563062466353498e+05 -3.8730698074591189e+05 -3.9858291731140489e+05 -4.0964940452263947e+05 -4.2070338950212998e+05 -4.3195147770357889e+05 -4.4361405235250510e+05 -4.5592979552179412e+05 -4.7019105259498284e+05 -4.8587360337262967e+05 -5.0339166590824019e+05 -5.2322287999085727e+05 -5.4592505460095126e+05 -5.7215796586776944e+05 -6.0271235064232128e+05 -6.3854911998291395e+05 -6.8085401719144289e+05 -7.3111001763214148e+05 -7.9121806735926634e+05 -8.6361663698472141e+05 -9.5149725964121439e+05 -1.0591863267533521e+06 -1.1925152403618130e+06 -1.3595337247337606e+06 -1.5713954876956576e+06 -1.8435818035298698e+06 -2.1972137429193137e+06 -2.6598877513315780e+06 -3.2649214504231513e+06 -4.0473271136304555e+06 -5.0357478497281000e+06 -6.2414545963139664e+06 -7.6484571361519312e+06 -9.2094820125721283e+06 -1.0850595234330012e+07 -1.2483637212708868e+07 -1.4020729151767390e+07 -1.5388637618029321e+07 -1.6537537813859873e+07 -1.7444053228344314e+07 -1.8111007753925912e+07 -1.8563635432460818e+07 -1.8840760388103269e+07 -1.8988468139967538e+07 -1.9050536409741495e+07 -1.9062681105880111e+07 -1.9049512625790313e+07 -1.9032734093351517e+07 -1.9012980393656857e+07 -1.8991603341518175e+07 -1.8968732392214850e+07 -1.8944982798402604e+07 -1.8919954910344008e+07 -1.8893636364726637e+07 -1.8864979780871589e+07 -1.8834307392239623e+07 -1.8801054260527827e+07 -1.8764778999058016e+07 -1.8724945226729225e+07 -1.8680948661101926e+07 -1.8632098684985250e+07 -1.8577621187257171e+07 -1.8516696226393688e+07 -1.8448382813824777e+07 -1.8371688933525961e+07 -1.8285547059568781e+07 -1.8188856219220445e+07 -1.8080512132443659e+07 -1.7959464554247521e+07 -1.7825038324781526e+07 -1.7676062643753253e+07 -1.7512545920698430e+07 -1.7334866388071094e+07 -1.7144417794392552e+07 -1.6943571760219067e+07 -1.6736842741836900e+07 -1.6531105963720679e+07 -1.6336593603246473e+07 -1.6168216377645265e+07 -1.6047178647661535e+07 -1.6003815093459906e+07 -1.6081687407260654e+07 -1.6344700266024236e+07 -1.6889663897545721e+07 -1.7869930185701635e+07 -1.9542443353049539e+07 8.7921193637858587e+05 +5.8234021775944007e-02 -3.8731311321911664e+05 -2.6155098893908065e+05 -4.5808564672073771e+04 2.3347876776069554e+05 5.0508667583451641e+05 6.6219365057943959e+05 6.5687235847969330e+05 5.6810857602401986e+05 4.7664566084757395e+05 3.9866791374839807e+05 3.2434113335228950e+05 2.5226917507667816e+05 1.8440706961529003e+05 1.2141237869596579e+05 6.3078409656321506e+04 9.7418463615729797e+03 -3.8368512184038569e+04 -8.1592169145490261e+04 -1.2040999515749513e+05 -1.5527757001944835e+05 -1.8659428080852018e+05 -2.1442790033431104e+05 -2.3629896976743996e+05 -2.4708255287856859e+05 -2.5614511417195568e+05 -2.7306187187392014e+05 -2.9232242057183810e+05 -3.1041996483612625e+05 -3.2697978616123821e+05 -3.4216953270426113e+05 -3.5619462840841897e+05 -3.6925476561357384e+05 -3.8154334983337455e+05 -3.9325020422251301e+05 -4.0456466065887274e+05 -4.1567877020355721e+05 -4.2679076862055226e+05 -4.3810878992221504e+05 -4.4985502496186213e+05 -4.6227028788445861e+05 -4.7665903302658931e+05 -4.9249398996685422e+05 -5.1019379877648799e+05 -5.3024139960828586e+05 -5.5320098334120039e+05 -5.7974005730686546e+05 -6.1065879808108194e+05 -6.4692975232584286e+05 -6.8975317465530406e+05 -7.4063032250135369e+05 -8.0148568700228038e+05 -8.7478799661206605e+05 -9.6376834657815448e+05 -1.0728065217003224e+06 -1.2078051994467622e+06 -1.3769108284199352e+06 -1.5914071135289297e+06 -1.8669465488812497e+06 -2.2248637623454835e+06 -2.6929943035811731e+06 -3.3048730634001098e+06 -4.0956243893912835e+06 -5.0938024278363585e+06 -6.3103271434628731e+06 -7.7286200458600465e+06 -9.3006993669800144e+06 -1.0951966416769508e+07 -1.2593783457735246e+07 -1.4138037220362213e+07 -1.5511493925182186e+07 -1.6664490252685972e+07 -1.7573884752166230e+07 -1.8242753110773452e+07 -1.8696562982734669e+07 -1.8974332791861467e+07 -1.9122317070246655e+07 -1.9184427005902790e+07 -1.9196478832590461e+07 -1.9183149157246716e+07 -1.9166234528528348e+07 -1.9146334945691980e+07 -1.9124805362535879e+07 -1.9101773196412079e+07 -1.9077856815287124e+07 -1.9052653365646951e+07 -1.9026150154896859e+07 -1.8997292585809216e+07 -1.8966405074959267e+07 -1.8932918720445406e+07 -1.8896389039672676e+07 -1.8856275889540415e+07 -1.8811970749252751e+07 -1.8762778179909483e+07 -1.8707918528218132e+07 -1.8646566261499047e+07 -1.8577773722512156e+07 -1.8500541937495720e+07 -1.8413795893292341e+07 -1.8316426895396128e+07 -1.8207322918714225e+07 -1.8085426373490896e+07 -1.7950057256139319e+07 -1.7800036708623078e+07 -1.7635373133145083e+07 -1.7456447415063322e+07 -1.7264663078348715e+07 -1.7062408377475481e+07 -1.6854229431644879e+07 -1.6647049705504728e+07 -1.6451173041794581e+07 -1.6281614877892416e+07 -1.6159728233448394e+07 -1.6116060564797029e+07 -1.6194479054584593e+07 -1.6459336589392900e+07 -1.7008122405547954e+07 -1.7995263982958250e+07 -1.9679507378476929e+07 8.8992264585357765e+05 +5.8592931923708499e-02 -3.9304689501270774e+05 -2.6741641832040512e+05 -5.1899331677441696e+04 2.2709419509256553e+05 4.9841317826476041e+05 6.5534920337942860e+05 6.5002767366500420e+05 5.6135256311190280e+05 4.6998203526620299e+05 3.9208308295719419e+05 3.1783191093364579e+05 2.4583376087705337e+05 1.7804143593657392e+05 1.1511165354286214e+05 5.6837812801659929e+04 3.5560885860056333e+03 -4.4505117308073051e+04 -8.7685083453627187e+04 -1.2646430243990001e+05 -1.6129800766137076e+05 -1.9258530873715368e+05 -2.2039404757560632e+05 -2.4224741220170059e+05 -2.5302589523144928e+05 -2.6208702131221720e+05 -2.7899663996272243e+05 -2.9825002476981981e+05 -3.1634421485866961e+05 -3.3290529406386719e+05 -3.4810124778790283e+05 -3.6213788527739368e+05 -3.7521538991500251e+05 -3.8752778107495210e+05 -3.9926563548747741e+05 -4.1061919818035734e+05 -4.2178161586016545e+05 -4.3295243010172789e+05 -4.4434132347375498e+05 -4.5617231777963444e+05 -4.6868838645252888e+05 -4.8320624644517072e+05 -4.9919553568503115e+05 -5.1707937153898960e+05 -5.3734606048786175e+05 -5.6056625443320989e+05 -5.8741528745611128e+05 -6.1870289217466803e+05 -6.5541339381387085e+05 -6.9876173603523884e+05 -7.5026768144755228e+05 -8.1187955231629882e+05 -8.8609670015284966e+05 -9.7619025534273137e+05 -1.0865940257283237e+06 -1.2232827851380087e+06 -1.3945007782169329e+06 -1.6116630526323111e+06 -1.8905948920020177e+06 -2.2528460291051031e+06 -2.7264920822975663e+06 -3.3452847307162960e+06 -4.1444576043377435e+06 -5.1524705530971978e+06 -6.3798855819469551e+06 -7.8095291679876577e+06 -9.3927066768201832e+06 -1.1054153458105050e+07 -1.2704755512539888e+07 -1.4256168971691485e+07 -1.5635164286367308e+07 -1.6792243793949973e+07 -1.7704504224354796e+07 -1.8375275001949593e+07 -1.8830258228587382e+07 -1.9108666607962810e+07 -1.9256923231524061e+07 -1.9319072108317778e+07 -1.9331029207797583e+07 -1.9317536915253289e+07 -1.9300485287469696e+07 -1.9280438946706932e+07 -1.9258755955906764e+07 -1.9235561660955273e+07 -1.9211477553650625e+07 -1.9186097555850651e+07 -1.9159408641127575e+07 -1.9130348957387306e+07 -1.9099245115481347e+07 -1.9065524227564353e+07 -1.9028738697760843e+07 -1.8988344599853292e+07 -1.8943729150853988e+07 -1.8894192063412149e+07 -1.8838948109154828e+07 -1.8777166135266207e+07 -1.8707891777352761e+07 -1.8630119064737599e+07 -1.8542765455053892e+07 -1.8444714488556523e+07 -1.8334846351585664e+07 -1.8212096068731148e+07 -1.8075778763735965e+07 -1.7924707477827724e+07 -1.7758890604921322e+07 -1.7578711698153112e+07 -1.7385584111905746e+07 -1.7181912827985615e+07 -1.6972275806510150e+07 -1.6763645023674970e+07 -1.6566396388829973e+07 -1.6395650650083667e+07 -1.6272910320569100e+07 -1.6228936828788301e+07 -1.6307904564020369e+07 -1.6574617141417217e+07 -1.7127246621876027e+07 -1.8121302126443356e+07 -1.9817341670014881e+07 9.0076282563266309e+05 +5.8954054120207391e-02 -3.9885046426553000e+05 -2.7335146553786687e+05 -5.8059448270633024e+04 2.2064061167888611e+05 4.9167099307035602e+05 6.4843625120155758e+05 6.4311446597997320e+05 5.5452789183677675e+05 4.6324962187687610e+05 3.8542934948668722e+05 3.1125367475881672e+05 2.3932922433487530e+05 1.7160657540948869e+05 1.0874160164833882e+05 5.0527793190689808e+04 -2.6991844248659004e+03 -5.0711327114782580e+04 -9.3847690181969607e+04 -1.3258838985575500e+05 -1.6738831481168632e+05 -1.9864629909118533e+05 -2.2643025546697254e+05 -2.4826601880402659e+05 -2.5903951005446166e+05 -2.6809932778304897e+05 -2.8500196349662216e+05 -3.0424836631730181e+05 -3.2233941052489210e+05 -3.3890198695592425e+05 -3.5410442432526551e+05 -3.6815292424568074e+05 -3.8124816932702617e+05 -3.9358480230581650e+05 -4.0535416451997648e+05 -4.1674742697575106e+05 -4.2795884695465252e+05 -4.3918928921569849e+05 -4.5065000512701314e+05 -4.6256687104876270e+05 -4.7518504725085013e+05 -4.8983366885080899e+05 -5.0597924018239853e+05 -5.2404941186395026e+05 -5.4453792347143416e+05 -5.6802196802004916e+05 -5.9518480305024912e+05 -6.2684583495293604e+05 -6.6400131220523524e+05 -7.0788104739673750e+05 -7.6002353409626742e+05 -8.2240121513868601e+05 -8.9754443459707382e+05 -9.8876483646300028e+05 -1.1005508883199745e+06 -1.2389502899876123e+06 -1.4123061642466453e+06 -1.6321662580879135e+06 -1.9145302226553436e+06 -2.2811644428186151e+06 -2.7603855516448785e+06 -3.3861614919054466e+06 -4.1938323166039987e+06 -5.2117581708985213e+06 -6.4501360577452686e+06 -7.8911906482193982e+06 -9.4855099166918024e+06 -1.1157162050371176e+07 -1.2816558740385158e+07 -1.4375129446669726e+07 -1.5759653459291084e+07 -1.6920802965256993e+07 -1.7835915996507987e+07 -1.8508577651383314e+07 -1.8964725306126509e+07 -1.9243765915182978e+07 -1.9392290667208418e+07 -1.9454475739322532e+07 -1.9466336240982100e+07 -1.9452679900602952e+07 -1.9435490365843698e+07 -1.9415296387605716e+07 -1.9393459107840642e+07 -1.9370101767178815e+07 -1.9345848989814501e+07 -1.9320291452049024e+07 -1.9293415788987707e+07 -1.9264152855121721e+07 -1.9232831466860820e+07 -1.9198874727961592e+07 -1.9161831911837127e+07 -1.9121155287806910e+07 -1.9076227786807738e+07 -1.9026344246119745e+07 -1.8970713829259884e+07 -1.8908499734098990e+07 -1.8838740850384291e+07 -1.8760424171239085e+07 -1.8672459582728643e+07 -1.8573722816291783e+07 -1.8463086225936789e+07 -1.8339477409396775e+07 -1.8202206588751897e+07 -1.8050078661337342e+07 -1.7883102011678852e+07 -1.7701662875706337e+07 -1.7507184493434507e+07 -1.7302088667999469e+07 -1.7090985379279397e+07 -1.6880895387915220e+07 -1.6682267073150542e+07 -1.6510327087727942e+07 -1.6386728277085738e+07 -1.6342447244399462e+07 -1.6421967310907526e+07 -1.6690545352623636e+07 -1.7247040091429379e+07 -1.8248048366788324e+07 -1.9955950329353485e+07 9.1173402193819790e+05 +5.9317401998823946e-02 -4.0472467827714834e+05 -2.7935699581832241e+05 -6.4289780829257528e+04 2.1411715512110185e+05 4.8485925972607062e+05 6.4145393052117294e+05 6.3613186175251426e+05 5.4763369745442411e+05 4.5644755342108390e+05 3.7870584753810207e+05 3.0460555945256486e+05 2.3275470057776131e+05 1.6510162332074138e+05 1.0230135848796720e+05 4.4147486362515643e+04 -9.0248371222665646e+03 -5.6988006148361979e+04 -1.0008085406578086e+05 -1.3878312243087206e+05 -1.7354935691150688e+05 -2.0477811784973784e+05 -2.3253739067291823e+05 -2.5435565709068949e+05 -2.6512426591219060e+05 -2.7418290343750338e+05 -2.9107871389668592e+05 -3.1031831852544565e+05 -3.2840642739906022e+05 -3.4497074308455031e+05 -3.6017994374122442e+05 -3.7424063049191079e+05 -3.8735399345793150e+05 -3.9971530834962387e+05 -4.1151669227828388e+05 -4.2295025521277770e+05 -4.3421138011709874e+05 -4.4550227252055705e+05 -4.5703577308028861e+05 -4.6903963660760975e+05 -4.8176123809187277e+05 -4.9654228827418352e+05 -5.1284611543512699e+05 -5.3110496008259780e+05 -5.5181806246992527e+05 -5.7556923779477633e+05 -6.0304976494255697e+05 -6.3508884323791123e+05 -6.7269479085182911e+05 -7.1711247135159292e+05 -7.6989933775382559e+05 -8.3305224634767207e+05 -9.0913290760247631e+05 -1.0014939630843647e+06 -1.1146791839237185e+06 -1.2548100343425025e+06 -1.4303296077796735e+06 -1.6529197180320525e+06 -1.9387559700146699e+06 -2.3098229469996807e+06 -2.7946792237027101e+06 -3.4275084371493058e+06 -4.2437541356977234e+06 -5.2716712763144113e+06 -6.5210847627438502e+06 -7.9736106730088731e+06 -9.5791150966587123e+06 -1.1260997916195983e+07 -1.2929198531235328e+07 -1.4494923710115880e+07 -1.5884966223695502e+07 -1.7050172315090276e+07 -1.7968124440359123e+07 -1.8642665302685887e+07 -1.9099968370882645e+07 -1.9379634811592862e+07 -1.9528423439921357e+07 -1.9590641940382108e+07 -1.9602403960733104e+07 -1.9588582133149587e+07 -1.9571253778355297e+07 -1.9550911278314333e+07 -1.9528918823488835e+07 -1.9505397515356615e+07 -1.9480975119025726e+07 -1.9455239044185787e+07 -1.9428175582845174e+07 -1.9398708257390894e+07 -1.9367168100983020e+07 -1.9332974186558902e+07 -1.9295672639118053e+07 -1.9254711902247146e+07 -1.9209470596680243e+07 -1.9159238657302886e+07 -1.9103219606272344e+07 -1.9040570962927029e+07 -1.8970324832114562e+07 -1.8891461131340250e+07 -1.8802882132509526e+07 -1.8703455714390527e+07 -1.8592046354698379e+07 -1.8467574182925858e+07 -1.8329344490251295e+07 -1.8176153986783836e+07 -1.8008011046572067e+07 -1.7825304603397898e+07 -1.7629467838450879e+07 -1.7422939470642243e+07 -1.7210361679509111e+07 -1.6998804284405176e+07 -1.6798788539940983e+07 -1.6625647600458283e+07 -1.6501185487163324e+07 -1.6456595186641440e+07 -1.6536670686649669e+07 -1.6807124669884499e+07 -1.7367506376004171e+07 -1.8375506472567730e+07 -2.0095337477716409e+07 9.2283779910710908e+05 +5.9682989276967226e-02 -4.1067041543318110e+05 -2.8543388329763268e+05 -7.0591201755153292e+04 2.0752294500819052e+05 4.7797709541612997e+05 6.3440136125042906e+05 6.2907897993259260e+05 5.4066910299809312e+05 4.4957495318937465e+05 3.7191170061644143e+05 2.9788668911761214e+05 2.2610931406179137e+05 1.5852570432648127e+05 9.5790048879089110e+04 3.7696017206441371e+04 -1.5421744611511625e+04 -6.3336029609943653e+04 -1.0638545050669374e+05 -1.4504937585858157e+05 -1.7978201007446990e+05 -2.1098164167183958e+05 -2.3871633054802293e+05 -2.6051720527748537e+05 -2.7128104208380601e+05 -2.8033862886234082e+05 -2.9722777333749790e+05 -3.1646076548117795e+05 -3.3454615185091115e+05 -3.5111245153368433e+05 -3.6632869833555090e+05 -3.8040190011687699e+05 -3.9353376289072743e+05 -4.0592020506960282e+05 -4.1775413083553262e+05 -4.2922860226147028e+05 -4.4054014328291907e+05 -4.5189231800206850e+05 -4.6349957710099086e+05 -4.7559157802833884e+05 -4.8841793871906976e+05 -5.0333310492408124e+05 -5.1979718588998762e+05 -5.3824706934336934e+05 -5.5918756462327880e+05 -5.8320919116442360e+05 -6.1101134827561502e+05 -6.4343314882450155e+05 -6.8149512888923427e+05 -7.2645738725983421e+05 -7.7989656762402644e+05 -8.4383423609067930e+05 -9.2086384774029418e+05 -1.0143795312474981e+06 -1.1289810122592603e+06 -1.2708643666680956e+06 -1.4485737615977724e+06 -1.6739264560584186e+06 -1.9632756030976553e+06 -2.3388255295176646e+06 -2.8293776589300898e+06 -3.4693307077256725e+06 -4.2942287228735611e+06 -5.3322159144046884e+06 -6.5927379349196842e+06 -8.0567954697725950e+06 -9.6735282622672953e+06 -1.1365666808828749e+07 -1.3042680301808849e+07 -1.4615556850805286e+07 -1.6011107381321486e+07 -1.7180356412771389e+07 -1.8101133947744176e+07 -1.8777542219201069e+07 -1.9235991597818110e+07 -1.9516277414547093e+07 -1.9665325631455470e+07 -1.9727574772067416e+07 -1.9739236414698143e+07 -1.9725247651753448e+07 -1.9707779558729582e+07 -1.9687287647719253e+07 -1.9665139127032276e+07 -1.9641452924733814e+07 -1.9616859955484241e+07 -1.9590944341192938e+07 -1.9563692026019149e+07 -1.9534019161419414e+07 -1.9502259008614995e+07 -1.9467826587016705e+07 -1.9430264855617709e+07 -1.9389018410720982e+07 -1.9343461538700078e+07 -1.9292879244885027e+07 -1.9236469376548395e+07 -1.9173383745145515e+07 -1.9102647631520659e+07 -1.9023233837728847e+07 -1.8934036978824925e+07 -1.8833917036810145e+07 -1.8721730568882696e+07 -1.8596390194682874e+07 -1.8457196245118335e+07 -1.8302937199469969e+07 -1.8133621420257498e+07 -1.7949640554255527e+07 -1.7752437779608868e+07 -1.7544468826061703e+07 -1.7330408253535356e+07 -1.7117375215869956e+07 -1.6915964250676032e+07 -1.6741615614089767e+07 -1.6616285350924997e+07 -1.6571384046474496e+07 -1.6652018098732432e+07 -1.6924358556428313e+07 -1.7488649054289840e+07 -1.8503680230116017e+07 -2.0235507255860858e+07 9.3407573979649437e+05 +6.0050829756589943e-02 -4.1668855725887977e+05 -2.9158301220734604e+05 -7.6964596650292471e+04 2.0085709885537490e+05 4.7102362659983634e+05 6.2727765173982969e+05 6.2195493682734435e+05 5.3363321861146449e+05 4.4263093483276793e+05 3.6504602134757990e+05 2.9109617715262389e+05 2.1939217837402105e+05 1.5187793230113992e+05 8.9206786852669378e+04 3.1172499832329027e+04 -2.1890792781572280e+04 -6.9756283486267246e+04 -1.1276236570163374e+05 -1.5138803662993392e+05 -1.8608716121712796e+05 -2.1725775802661228e+05 -2.4496796326679169e+05 -2.6675155241156614e+05 -2.7751072869447054e+05 -2.8656739550882473e+05 -3.0345003487772960e+05 -3.2267660218004492e+05 -3.4075948118613352e+05 -3.5732801235725376e+05 -3.7255159141729231e+05 -3.8663764027702581e+05 -3.9978838931907935e+05 -4.1220040950355580e+05 -4.2406740351468144e+05 -4.3558339882962377e+05 -4.4694607583170693e+05 -4.5836037521104026e+05 -4.7004237866679794e+05 -4.8222367076332256e+05 -4.9515614095197082e+05 -5.1020713133517135e+05 -5.2683348861628980e+05 -5.4547680576894514e+05 -5.6664753046007536e+05 -5.9094296941740031e+05 -6.1907074265859684e+05 -6.5187999866409064e+05 -6.9040364142990229e+05 -7.3591719143166300e+05 -7.9001671702623263e+05 -8.5474879401893285e+05 -9.3273900475503597e+05 -1.0274234601573438e+06 -1.1434584986191473e+06 -1.2871156638845897e+06 -1.4670413103608659e+06 -1.6951895316148368e+06 -1.9880926311954062e+06 -2.3681762230416685e+06 -2.8644854666105206e+06 -3.5116334964299239e+06 -4.3452617914909972e+06 -5.3933981804931341e+06 -6.6651018585525053e+06 -8.1407513069828711e+06 -9.7687554946543146e+06 -1.1471174512173345e+07 -1.3157009495563870e+07 -1.4737033981387137e+07 -1.6138081755994385e+07 -1.7311359848456282e+07 -1.8234948930641349e+07 -1.8913212683939923e+07 -1.9372799181334492e+07 -1.9653697860680223e+07 -1.9803001342787016e+07 -1.9865278314095408e+07 -1.9876837669623267e+07 -1.9862680514360733e+07 -1.9845071759742238e+07 -1.9824429543742571e+07 -1.9802124061594319e+07 -1.9778272033515558e+07 -1.9753507532331303e+07 -1.9727411370844148e+07 -1.9699969140685454e+07 -1.9670089583304156e+07 -1.9638108199300624e+07 -1.9603435931845013e+07 -1.9565612556091525e+07 -1.9524078799536046e+07 -1.9478204589804143e+07 -1.9427269975364178e+07 -1.9370467095007136e+07 -1.9306942022742741e+07 -1.9235713175996389e+07 -1.9155746201484855e+07 -1.9065928014433626e+07 -1.8965110655715007e+07 -1.8852142717560183e+07 -1.8725929268005438e+07 -1.8585765648019366e+07 -1.8430432062372625e+07 -1.8259936860877514e+07 -1.8074674418590236e+07 -1.7876097966722976e+07 -1.7666680341277502e+07 -1.7451128664365206e+07 -1.7236611701534230e+07 -1.7033797683150053e+07 -1.6858234570588436e+07 -1.6732031284589170e+07 -1.6686817230891723e+07 -1.6768012970725654e+07 -1.7042250491798259e+07 -1.7610471721841827e+07 -1.8632573443703234e+07 -2.0376463824103028e+07 9.4544944519144297e+05 +6.0420937324709538e-02 -4.2277999939344084e+05 -2.9780527463632473e+05 -8.3410862462494770e+04 1.9411871805329440e+05 4.6399793585084163e+05 6.2008190412210720e+05 6.1475883014460851e+05 5.2652514564587094e+05 4.3561459990527964e+05 3.5810791196903633e+05 2.8423312585102196e+05 2.1260239613178582e+05 1.4515741018903055e+05 8.2550675531104469e+04 2.4576037438732976e+04 -2.8432878436897317e+04 -7.6249664681324153e+04 -1.1921249677169706e+05 -1.5780000216572336e+05 -1.9246570818991450e+05 -2.2360736532552441e+05 -2.5129318795636907e+05 -2.7305959850279207e+05 -2.8381422684750071e+05 -2.9287010582498531e+05 -3.0974640259286389e+05 -3.2896673465769761e+05 -3.4704732377936854e+05 -3.6361833671193343e+05 -3.7884953743941308e+05 -3.9294876931838307e+05 -4.0611879568211501e+05 -4.1855684999933204e+05 -4.3045744502585247e+05 -4.4201558710358909e+05 -4.5343012872559944e+05 -4.6490740540618799e+05 -4.7666515110671223e+05 -4.8893690228729107e+05 -5.0197684883361385e+05 -5.1716539252079913e+05 -5.3395607346086134e+05 -5.5279524861377350e+05 -5.7419907406128640e+05 -5.9877172789312608e+05 -6.2722915233814972e+05 -6.6043065504671028e+05 -6.9942165975534997e+05 -7.4549329733735987e+05 -8.0026129761174950e+05 -8.6579754952419060e+05 -9.4476014981003641e+05 -1.0406276924659574e+06 -1.1581137941668471e+06 -1.3035663317008885e+06 -1.4857349709759720e+06 -1.7167120404134463e+06 -2.0132106043168416e+06 -2.3978791055075293e+06 -2.9000073053058041e+06 -3.5544220479967352e+06 -4.3968591073861532e+06 -5.4552242204627804e+06 -6.7381828644362465e+06 -8.2254844943252699e+06 -9.8648029106178768e+06 -1.1577526840867912e+07 -1.3272191582745098e+07 -1.4859360238537291e+07 -1.6265894193578128e+07 -1.7443187233159035e+07 -1.8369573821144268e+07 -1.9049680999605745e+07 -1.9510395335279673e+07 -1.9791900305914622e+07 -1.9941454694104932e+07 -2.0003756665320002e+07 -2.0015211811354060e+07 -2.0000884797979958e+07 -1.9983134453185033e+07 -1.9962341033329979e+07 -1.9939877689330604e+07 -1.9915858898890644e+07 -1.9890921901597269e+07 -1.9864644179887287e+07 -1.9837010967916984e+07 -1.9806923557954300e+07 -1.9774719701405276e+07 -1.9739806242271576e+07 -1.9701719754049309e+07 -1.9659897073660422e+07 -1.9613703745563280e+07 -1.9562414833906725e+07 -1.9505216735094476e+07 -1.9441249756114468e+07 -1.9369525411387678e+07 -1.9289002152058084e+07 -1.9198559150332719e+07 -1.9097040461449973e+07 -1.8983286667915929e+07 -1.8856195244167607e+07 -1.8715056511468213e+07 -1.8558642356130280e+07 -1.8386961114144519e+07 -1.8200409904090159e+07 -1.8000452066724233e+07 -1.7789577640273657e+07 -1.7572526491755143e+07 -1.7356517277188651e+07 -1.7152292331542093e+07 -1.6975507928087119e+07 -1.6848426720411614e+07 -1.6802898162864387e+07 -1.6884658742252659e+07 -1.7160803971879724e+07 -1.7732977991095942e+07 -1.8762189935468830e+07 -2.0518211362280037e+07 9.5696053521508747e+05 +6.0793325953932442e-02 -4.2894564579534915e+05 -3.0410158189457865e+05 -8.9930905675303089e+04 1.8730689428094649e+05 4.5689912499793322e+05 6.1281320767977089e+05 6.0748975129434059e+05 5.1934397528061335e+05 4.2852503880274296e+05 3.5109646369277191e+05 2.7729662645379745e+05 2.0573905890242886e+05 1.3836322988079747e+05 7.5820806995137231e+04 1.7905722178973243e+04 -3.5048909431430366e+04 -8.2817081150582453e+04 -1.2573675189292633e+05 -1.6428618094962585e+05 -1.9891855991101454e+05 -2.3003137305538653e+05 -2.5769291482908253e+05 -2.7944225465688208e+05 -2.9019244875791710e+05 -2.9924767338952853e+05 -3.1611779170970607e+05 -3.3533208012647351e+05 -3.5341059921070398e+05 -3.6998434699407802e+05 -3.8522346213293605e+05 -3.9933621691455547e+05 -4.1252591630100389e+05 -4.2499046635370184e+05 -4.3692520160545531e+05 -4.4852612088631961e+05 -4.5999326465138106e+05 -4.7153438169617660e+05 -4.8336887974912365e+05 -4.9573227224672039e+05 -5.0888107877961168e+05 -5.2420892612201505e+05 -5.4116600320338132e+05 -5.6020349042475712e+05 -5.8184332322637178e+05 -6.0669663615182822e+05 -6.3548779638210742e+05 -6.6908639578998880e+05 -7.0855053151468979e+05 -7.5518713581030583e+05 -8.1063183958891733e+05 -8.7698215197608084e+05 -9.5692907575339742e+05 -1.0539941945524004e+06 -1.1729490762540444e+06 -1.3202188049519935e+06 -1.5046574929731260e+06 -1.7384971148357433e+06 -2.0386331136240782e+06 -2.4279383005746007e+06 -2.9359478833229672e+06 -3.5977016595312548e+06 -4.4490264892365439e+06 -5.5177002310436489e+06 -6.8119873300900999e+06 -8.3110013828131901e+06 -9.9616766626868062e+06 -1.1684729640262023e+07 -1.3388232060376814e+07 -1.4982540782801021e+07 -1.6394549561939623e+07 -1.7575843198732078e+07 -1.8505013071455192e+07 -1.9186951488614943e+07 -1.9648784292951889e+07 -1.9930888925461438e+07 -2.0080689824798647e+07 -2.0143013943696350e+07 -2.0154362944789205e+07 -2.0139864598624099e+07 -2.0121971729861964e+07 -2.0101026202388741e+07 -2.0078404091326799e+07 -2.0054217596947651e+07 -2.0029107134334691e+07 -2.0002646833941262e+07 -1.9974821567658044e+07 -1.9944525139196157e+07 -1.9912097562155697e+07 -1.9876941558386445e+07 -1.9838590481783587e+07 -1.9796477256811034e+07 -1.9749963020249113e+07 -1.9698317824274614e+07 -1.9640722288881280e+07 -1.9576310924253851e+07 -1.9504088301935937e+07 -1.9423005637212478e+07 -1.9331934315805875e+07 -1.9229710362508751e+07 -1.9115166305168327e+07 -1.8987191982389577e+07 -1.8845072665777709e+07 -1.8687571879046708e+07 -1.8514697943198048e+07 -1.8326850735756937e+07 -1.8125503763661440e+07 -1.7913164363942910e+07 -1.7694605332193024e+07 -1.7477095495102525e+07 -1.7271451706314582e+07 -1.7093439160880517e+07 -1.6965475106664035e+07 -1.6919630281378243e+07 -1.7001958869040627e+07 -1.7280022508910161e+07 -1.7856171491412424e+07 -1.8892533545360904e+07 -2.0660754069756627e+07 9.6861064874090021e+05 +6.1168009702981599e-02 -4.3518641749697365e+05 -3.1047284467679204e+05 -9.6525646209729748e+04 1.8042070454676790e+05 4.4972626192737051e+05 6.0547063663992879e+05 6.0014677717067196e+05 5.1208878503817628e+05 4.2136133024676511e+05 3.4401075654929818e+05 2.7028575921118964e+05 1.9880124707966988e+05 1.3149447210326724e+05 6.9016262140198349e+04 1.1160635025898595e+04 -4.1739804804700805e+04 -8.9459452037813870e+04 -1.3233605042891685e+05 -1.7084749266264020e+05 -2.0544663650057072e+05 -2.3653070191359313e+05 -2.6416806531788997e+05 -2.8590044321189233e+05 -2.9664631788835448e+05 -3.0570102304811793e+05 -3.2256512874244957e+05 -3.4177356710910384e+05 -3.5985023840087041e+05 -3.7642697697546292e+05 -3.9167430264628888e+05 -4.0580092420279235e+05 -4.1901069701956847e+05 -4.3150220995153289e+05 -4.4347163115639292e+05 -4.5511596573989565e+05 -4.6663645816314756e+05 -4.7824228918406548e+05 -4.9015456206520193e+05 -5.0261079260524368e+05 -5.1586985973042983e+05 -5.3133878256344481e+05 -5.4846435371349263e+05 -5.6770263720339991e+05 -5.8958141963978426e+05 -6.1471887815005297e+05 -6.4384790885588771e+05 -6.7784851442649600e+05 -7.1779162092254439e+05 -7.6500015526177350e+05 -8.2112989194725885e+05 -8.8830427096369094e+05 -9.6924759737687861e+05 -1.0675249568081980e+06 -1.1879665487273906e+06 -1.3370755479478808e+06 -1.5238116588824762e+06 -1.7605479243515774e+06 -2.0643637918819294e+06 -2.4583579780887207e+06 -2.9723119591769916e+06 -3.6414776809411990e+06 -4.5017698089367840e+06 -5.5808324600973446e+06 -6.8865216799407490e+06 -8.3973083649118412e+06 -1.0059382939200977e+07 -1.1792788786508970e+07 -1.3505136452329729e+07 -1.5106580798718885e+07 -1.6524052751046205e+07 -1.7709332397878285e+07 -1.8641271153947100e+07 -1.9325028493063547e+07 -1.9787970307063926e+07 -2.0070667913812410e+07 -2.0220710893412817e+07 -2.0283054286331099e+07 -2.0294295193940628e+07 -2.0279624031385724e+07 -2.0261587699622639e+07 -2.0240489155864727e+07 -2.0217707367684748e+07 -2.0193352222783573e+07 -2.0168067320463661e+07 -2.0141423417544991e+07 -2.0113405018776823e+07 -2.0082898399669237e+07 -2.0050245847568378e+07 -2.0014845939055964e+07 -1.9976228790283635e+07 -1.9933823391436677e+07 -1.9886986446779992e+07 -1.9834982968863122e+07 -1.9776987766957242e+07 -1.9712129524600562e+07 -1.9639405830372199e+07 -1.9557760623141393e+07 -1.9466057458427653e+07 -1.9363124285567466e+07 -1.9247785532613162e+07 -1.9118923359834045e+07 -1.8975817959113043e+07 -1.8817224447117507e+07 -1.8643151128731985e+07 -1.8454000655899715e+07 -1.8251256758763801e+07 -1.8037444170155875e+07 -1.7817368798937362e+07 -1.7598349924102634e+07 -1.7391279334247254e+07 -1.7212031759423777e+07 -1.7083179907682937e+07 -1.7037017041410469e+07 -1.7119916822868221e+07 -1.7399909631458353e+07 -1.7980055868964601e+07 -1.9023608131224461e+07 -2.0804096165411759e+07 9.8040144380726630e+05 +6.1545002717227203e-02 -4.4150323446605215e+05 -3.1691999790495960e+05 -1.0319601037734922e+05 1.7345922059738031e+05 4.4247842401840008e+05 5.9805326459798787e+05 5.9272897607723821e+05 5.0475864179153799e+05 4.1412254262610042e+05 3.3684985901264666e+05 2.6319959310834733e+05 1.9178802975828756e+05 1.2455020629613116e+05 6.2136110534825442e+04 4.3398456343075659e+03 -4.8506494918899254e+04 -9.6177707813448302e+04 -1.3901132306650848e+05 -1.7748486831913982e+05 -2.1205086941860311e+05 -2.4310628394581462e+05 -2.7071957221260015e+05 -2.9243509787502448e+05 -3.0317676908698113e+05 -3.1223109104995616e+05 -3.2908935163017298e+05 -3.4829213557978964e+05 -3.6636718375106645e+05 -3.8294717194271862e+05 -3.9820300768404035e+05 -4.1234384392612934e+05 -4.2557409534243244e+05 -4.3809304390753264e+05 -4.5009770339151676e+05 -4.6178609912939451e+05 -4.7336069582707394e+05 -4.8503212511472555e+05 -4.9702320781832037e+05 -5.0957348779724835e+05 -5.2294423330231861e+05 -5.3855602520948532e+05 -5.5585221411132917e+05 -5.7529380857015925e+05 -5.9741451904052729e+05 -6.2283965241408173e+05 -6.5231073900875088e+05 -6.8671832039648946e+05 -7.2714630896035023e+05 -7.7493382189349667e+05 -8.3175702268461313e+05 -8.9976559654172382e+05 -9.8171755167851737e+05 -1.0812219939225772e+06 -1.2031684422456594e+06 -1.3541390548174789e+06 -1.5432002846177802e+06 -1.7828676759327461e+06 -2.0904063139080177e+06 -2.4891423545619324e+06 -3.0091043420519782e+06 -3.6857555153724528e+06 -4.5550949919614475e+06 -5.6446272069036504e+06 -6.9617923855329957e+06 -8.4844118746965025e+06 -1.0157927964374328e+07 -1.1901710186568234e+07 -1.3622910309255794e+07 -1.5231485494759031e+07 -1.6654408672886368e+07 -1.7843659504147112e+07 -1.8778352561045557e+07 -1.9463916374725942e+07 -1.9927957649772253e+07 -2.0211241484736290e+07 -2.0361522077698007e+07 -2.0423881849442996e+07 -2.0435012701882098e+07 -2.0420167230411708e+07 -2.0401986491344523e+07 -2.0380734017689966e+07 -2.0357791637460459e+07 -2.0333266890438989e+07 -2.0307806568851259e+07 -2.0280978034159567e+07 -2.0252765418959588e+07 -2.0222047430890761e+07 -2.0189168642518476e+07 -2.0153523461893447e+07 -2.0114638749359664e+07 -2.0071939538672578e+07 -2.0024778076748971e+07 -1.9972414308695309e+07 -1.9914017198495802e+07 -1.9848709573128484e+07 -1.9775481997859601e+07 -1.9693271094336804e+07 -1.9600932544018045e+07 -1.9497286175494190e+07 -1.9381148271625191e+07 -1.9251393271653760e+07 -1.9107296257374413e+07 -1.8947603893948711e+07 -1.8772324468891684e+07 -1.8581863424129404e+07 -1.8377714770360619e+07 -1.8162420733683471e+07 -1.7940820521880943e+07 -1.7720284149498206e+07 -1.7511778758480135e+07 -1.7331289230315715e+07 -1.7201544603815403e+07 -1.7155061913886409e+07 -1.7238536091574557e+07 -1.7520468884379916e+07 -1.8104634786857564e+07 -1.9155417568730757e+07 -2.0948241887695517e+07 9.9233459783434228e+05 +6.1924319229220731e-02 -4.4789703747423913e+05 -3.2344397916196915e+05 -1.0994294188348297e+05 1.6642150085265684e+05 4.3515466513199755e+05 5.9056014637556253e+05 5.8523539868030592e+05 4.9735260454887105e+05 4.0680773294758447e+05 3.2961282764102606e+05 2.5603718558120148e+05 1.8469846467167951e+05 1.1752949045539400e+05 5.5179410288549778e+04 -2.5575877979626289e+03 -5.5349921597297092e+04 -1.0297279041374900e+05 -1.4576351195472432e+05 -1.8419925040545085e+05 -2.1873220160275747e+05 -2.4975906268364331e+05 -2.7734837979748211e+05 -2.9904716386212828e+05 -3.0978474872606917e+05 -3.1883882518734247e+05 -3.3569140987661172e+05 -3.5488873710069020e+05 -3.7296238928124757e+05 -3.8954588883763266e+05 -4.0481053764737875e+05 -4.1896594057302765e+05 -4.3221708057983319e+05 -4.4476394320939900e+05 -4.5680439997520711e+05 -4.6853751056715893e+05 -4.8016697636850993e+05 -4.9190489902084594e+05 -5.0397583921401441e+05 -5.1662139487695269e+05 -5.3010525394233759e+05 -5.4586173052120686e+05 -5.6333068692935584e+05 -5.8297813792853383e+05 -6.0534379139263078e+05 -6.3106017221949575e+05 -6.6087755145498901e+05 -6.9569713923937909e+05 -7.3661599358159874e+05 -7.8498961991219758e+05 -8.4251481903880625e+05 -9.1136783947648259e+05 -9.9434079813457292e+05 -1.0950873451790083e+06 -1.2185570145977207e+06 -1.3714118498594773e+06 -1.5628262198619694e+06 -1.8054596144825497e+06 -2.1167643970238017e+06 -2.5202956936352458e+06 -3.0463298922727457e+06 -3.7305406196305361e+06 -4.6090080177409938e+06 -5.7090908224616572e+06 -7.0378059657561835e+06 -8.5723183879314475e+06 -1.0257317998375185e+07 -1.2011499778263995e+07 -1.3741559208687536e+07 -1.5357260103383554e+07 -1.6785622261484623e+07 -1.7978829211930621e+07 -1.8916261805333428e+07 -1.9603619515073050e+07 -2.0068750612642378e+07 -2.0352613871276364e+07 -2.0503127574573103e+07 -2.0565500808372859e+07 -2.0576519630762234e+07 -2.0561498348840274e+07 -2.0543172252885327e+07 -2.0521764930773649e+07 -2.0498661038695429e+07 -2.0473965732899025e+07 -2.0448329007284235e+07 -2.0421314806092136e+07 -2.0392906884792220e+07 -2.0361976343177371e+07 -2.0328870050643995e+07 -2.0292978223340660e+07 -2.0253824447488576e+07 -2.0210829778316841e+07 -2.0163341980427969e+07 -2.0110615903368637e+07 -2.0051814631248016e+07 -1.9986055104259767e+07 -1.9912320823936719e+07 -1.9829541053653847e+07 -1.9736563556685407e+07 -1.9632199995331623e+07 -1.9515258461623624e+07 -1.9384605630872630e+07 -1.9239511444333524e+07 -1.9078714070852764e+07 -1.8902221779379185e+07 -1.8710442817446027e+07 -1.8504881533896487e+07 -1.8288097746217258e+07 -1.8064964147701822e+07 -1.7842901773142736e+07 -1.7632953538445033e+07 -1.7451215096310169e+07 -1.7320572691449624e+07 -1.7273768385777108e+07 -1.7357820179081306e+07 -1.7641703828927103e+07 -1.8229911925024267e+07 -1.9287965751446478e+07 -2.1093195494536318e+07 1.0044118078432524e+06 +6.2305973559232272e-02 -4.5436878631536150e+05 -3.3004573724582844e+05 -1.1676739319120662e+05 1.5930658722309789e+05 4.2775402824323415e+05 5.8299032316213893e+05 5.7766509631474945e+05 4.8986971861365158e+05 3.9941594634139846e+05 3.2229870752035739e+05 2.4879758254857420e+05 1.7753159809978009e+05 1.1043137095912086e+05 4.8145207922107707e+04 -9.5326186699754271e+03 -6.2271038262611641e+04 -1.0984565338037649e+05 -1.5259357084671321e+05 -1.9099159301923605e+05 -2.2549158760948054e+05 -2.5648999328611756e+05 -2.8405544399183849e+05 -3.0573759803680272e+05 -3.1647121484178148e+05 -3.2552518493487185e+05 -3.4237226469060784e+05 -3.6156433496621327e+05 -3.7963682077378582e+05 -3.9622409639931412e+05 -4.1149786477702210e+05 -4.2566819052217470e+05 -4.3894063399015070e+05 -4.5151589486167935e+05 -4.6359271467299026e+05 -4.7537120176070044e+05 -4.8705631081999990e+05 -4.9886163287574559e+05 -5.1101349105248298e+05 -5.2375556367518503e+05 -5.3735398908674042e+05 -5.5325698821531981e+05 -5.7090088827506395e+05 -5.9075677263563848e+05 -6.1337042106027785e+05 -6.3938166576711787e+05 -6.6954962636372342e+05 -7.0478631279181479e+05 -7.4620208991541597e+05 -7.9516905175057391e+05 -8.5340488771936076e+05 -9.2311273149832035e+05 -1.0071192189663916e+06 -1.1091230747450180e+06 -1.2341345510293934e+06 -1.3888964878997542e+06 -1.5826923484573874e+06 -1.8283270232561273e+06 -2.1434418015180863e+06 -2.5518223065579748e+06 -3.0839935217810189e+06 -3.7758385046373643e+06 -4.6635149200370740e+06 -5.7742297097526919e+06 -7.1145689869877743e+06 -8.6610344222359676e+06 -1.0357559337379426e+07 -1.2122163530290095e+07 -1.3861088754968563e+07 -1.5483909881006526e+07 -1.6917698472886737e+07 -1.8114846236487225e+07 -1.9055003419488423e+07 -1.9744142315254536e+07 -2.0210353506714143e+07 -2.0494789325748786e+07 -2.0645531600096676e+07 -2.0707915357526600e+07 -2.0718820161757346e+07 -2.0703621558878861e+07 -2.0685149151134435e+07 -2.0663586057039581e+07 -2.0640319728392322e+07 -2.0615452902094424e+07 -2.0589638782468613e+07 -2.0562437874638196e+07 -2.0533833551732838e+07 -2.0502689265730664e+07 -2.0469354194421899e+07 -2.0433214338564947e+07 -2.0393789991947345e+07 -2.0350498208952706e+07 -2.0302682246694930e+07 -2.0249591831127279e+07 -2.0190384131489370e+07 -2.0124170170989640e+07 -2.0049926346642070e+07 -1.9966574522310089e+07 -1.9872954498769142e+07 -1.9767869726263601e+07 -1.9650120060090948e+07 -1.9518564368519410e+07 -1.9372467421540689e+07 -1.9210558846759930e+07 -1.9032846893325385e+07 -1.8839742630065601e+07 -1.8632760801959075e+07 -1.8414478916378431e+07 -1.8189803339769486e+07 -1.7966206413378619e+07 -1.7754807249906685e+07 -1.7571812896313589e+07 -1.7440267682977688e+07 -1.7393139960017599e+07 -1.7477772605375066e+07 -1.7763618042630676e+07 -1.8355890980303671e+07 -1.9421256590732332e+07 -2.1238961263384238e+07 1.0166347906775986e+06 +6.2689980115791147e-02 -4.6091943452096800e+05 -3.3672623450436018e+05 -1.2367032701331376e+05 1.5211351970752038e+05 4.2027554657568416e+05 5.7534282946240646e+05 5.7001710027505341e+05 4.8230901192084118e+05 3.9194621594654664e+05 3.1490653291043342e+05 2.4147981821694443e+05 1.7028646461784831e+05 1.0325488241602721e+05 4.1032538228934922e+04 -1.6586212117879128e+04 -6.9270810077326387e+04 -1.1679726200006218e+05 -1.5950246524254594e+05 -1.9786286201172881e+05 -2.3232999375616628e+05 -2.6330004268089426e+05 -2.9084173249133857e+05 -3.1250736905415583e+05 -3.2323713727795775e+05 -3.3229114159408939e+05 -3.4913288912899955e+05 -3.6831990434359730e+05 -3.8639145591601363e+05 -4.0298277530859940e+05 -4.1826597329822881e+05 -4.3245158218643680e+05 -4.4574574892480997e+05 -4.5834989803421922e+05 -4.7046365349547740e+05 -4.8228818676077295e+05 -4.9402972267151979e+05 -5.0590336124241923e+05 -5.1813721088036243e+05 -5.3097705695350037e+05 -5.4469151931719563e+05 -5.6074290142908087e+05 -5.7856394799640379e+05 -5.9863087417078891e+05 -6.2149560698094021e+05 -6.4780537636998622e+05 -6.7832825964760152e+05 -7.1398719938379875e+05 -7.5590603047749610e+05 -8.0547363828559499e+05 -8.6442885514389060e+05 -9.3500202555028081e+05 -1.0200547194166137e+06 -1.1233312719734120e+06 -1.2499033645663131e+06 -1.4065955546484585e+06 -1.6028015888030243e+06 -1.8514732242942825e+06 -2.1704423311049179e+06 -2.5837265526726716e+06 -3.1221001946026809e+06 -3.8216547358487346e+06 -4.7186217872982547e+06 -5.8400503240512330e+06 -7.1920880633398956e+06 -8.7505665371659845e+06 -1.0458658313650001e+07 -1.2233707442255814e+07 -1.3981504579333529e+07 -1.5611440107987292e+07 -1.7050642285271183e+07 -1.8251715313820366e+07 -1.9194581956280988e+07 -1.9885489196088448e+07 -2.0352770662362516e+07 -2.0637772119687840e+07 -2.0788738389548607e+07 -2.0851129710487284e+07 -2.0861918495169062e+07 -2.0846541051754300e+07 -2.0827921371982049e+07 -2.0806201577362947e+07 -2.0782771882503171e+07 -2.0757732568862021e+07 -2.0731740060029473e+07 -2.0704351399848692e+07 -2.0675549574091721e+07 -2.0644190346543018e+07 -2.0610625215140358e+07 -2.0574235941569462e+07 -2.0534539508729093e+07 -2.0490948947771780e+07 -2.0442802983160488e+07 -2.0389346188783355e+07 -2.0329729784011059e+07 -2.0263058844704479e+07 -2.0188302622340150e+07 -2.0104375539864916e+07 -2.0010109390884150e+07 -1.9904299367649790e+07 -1.9785737042538851e+07 -1.9653273433487747e+07 -1.9506168108337384e+07 -1.9343142108260997e+07 -1.9164203661347747e+07 -1.8969766673579127e+07 -1.8761356344252937e+07 -1.8541567969706099e+07 -1.8315341778150748e+07 -1.8090201705056340e+07 -1.7877343484916106e+07 -1.7693086185369249e+07 -1.7560633106859695e+07 -1.7513180155477758e+07 -1.7598396906458423e+07 -1.7886215119337600e+07 -1.8482575666361764e+07 -1.9555294015828423e+07 -2.1385543491234001e+07 1.0290052832273426e+06 +6.3076353396229870e-02 -4.6754995849692146e+05 -3.4348645300017268e+05 -1.3065272181259710e+05 1.4484131635924903e+05 4.1271824194624048e+05 5.6761667995675036e+05 5.6229042894477979e+05 4.7466950868693006e+05 3.8439756253751850e+05 3.0743532630699867e+05 2.3408291468018669e+05 1.6296208680557442e+05 9.5999047549727125e+04 3.3840424130069303e+04 -2.3719345156155505e+04 -7.6350214085475236e+04 -1.2382859344561458e+05 -1.6649117253315824e+05 -2.0481403513152763e+05 -2.3924839826362650e+05 -2.7019018970893347e+05 -2.9770822491246893e+05 -3.1935745750385890e+05 -3.3008349782855494e+05 -3.3913767843482480e+05 -3.5597426824161765e+05 -3.7515643241971935e+05 -3.9322728444532544e+05 -4.0982291833266319e+05 -4.2511585956593032e+05 -4.3931711615971709e+05 -4.5263343097818107e+05 -4.6526696420823032e+05 -4.7741823484978219e+05 -4.8928949211248691e+05 -5.0108824802151747e+05 -5.1303113142907876e+05 -5.2534805914677121e+05 -5.3828695056120702e+05 -5.5211893852152652e+05 -5.6832058688099869e+05 -5.8632100984947616e+05 -6.0660161830854556e+05 -6.2972056284477026e+05 -6.5633256263336365e+05 -6.8721476315340598e+05 -7.2330117404155387e+05 -7.6572926538248092e+05 -8.1590491906555719e+05 -8.7558836767775996e+05 -9.4703749605106004e+05 -1.0331492280249116e+06 -1.1377140517048596e+06 -1.2658657963450551e+06 -1.4245116670653580e+06 -1.6231568942516118e+06 -1.8749015788604615e+06 -2.1977698334007161e+06 -2.6160128398979506e+06 -3.1606549273313740e+06 -3.8679949337187693e+06 -4.7743347630493445e+06 -5.9065591731882542e+06 -7.2703698568444001e+06 -8.8409213343820535e+06 -1.0560621295588335e+07 -1.2346137544713872e+07 -1.4102812339870470e+07 -1.5739856088663610e+07 -1.7184458698728062e+07 -1.8389441200834062e+07 -1.9335001988588631e+07 -2.0027664598023783e+07 -2.0496006429440845e+07 -2.0781566543933526e+07 -2.0932752197333090e+07 -2.0995148099879202e+07 -2.1005818850336242e+07 -2.0990261037700109e+07 -2.0971493120302740e+07 -2.0949615691643234e+07 -2.0926021695949391e+07 -2.0900808923003014e+07 -2.0874637024487156e+07 -2.0847059560776878e+07 -2.0818059125034612e+07 -2.0786483752461087e+07 -2.0752687272813879e+07 -2.0716047185022719e+07 -2.0676077142525159e+07 -2.0632186130698230e+07 -2.0583708315956324e+07 -2.0529883091757417e+07 -2.0469855692212071e+07 -2.0402725215333998e+07 -2.0327453725876838e+07 -2.0242948164194942e+07 -2.0148032271895468e+07 -2.0041492936964326e+07 -1.9922113402570006e+07 -1.9788736792620558e+07 -1.9640617441838395e+07 -1.9476467759587564e+07 -1.9296295951592639e+07 -1.9100518776857991e+07 -1.8890671947546288e+07 -1.8669368648612075e+07 -1.8441583159650926e+07 -1.8214891299505267e+07 -1.8000565851841953e+07 -1.7815038534626946e+07 -1.7681672507497340e+07 -1.7633892507053789e+07 -1.7719696634403884e+07 -1.8009498669210408e+07 -1.8609969713720404e+07 -1.9690081973760892e+07 -2.1532946494522676e+07 1.0415250426550673e+06 +6.3465107987231484e-02 -4.7426134701760602e+05 -3.5032737492762122e+05 -1.3771556358690423e+05 1.3748898785226938e+05 4.0508112385634211e+05 5.5981088838043355e+05 5.5448409138615639e+05 4.6695021792394877e+05 3.7676899560185260e+05 2.9988409744622273e+05 2.2660588192469004e+05 1.5555747510264599e+05 8.8662877089354748e+04 2.6567876524958749e+04 -3.0933006821444440e+04 -8.3510239357120197e+04 -1.3094063691727043e+05 -1.7356068214632059e+05 -2.1184610216991158e+05 -2.4624779140316290e+05 -2.7716142526943656e+05 -3.0465591293697566e+05 -3.2628885605661391e+05 -3.3701129038468341e+05 -3.4606579084332421e+05 -3.6289739921676752e+05 -3.8207491854616703e+05 -4.0014530829613353e+05 -4.1674553047303372e+05 -4.3204853221357800e+05 -4.4626580536685529e+05 -4.5960469813539687e+05 -4.7226811732858862e+05 -4.8445748969049827e+05 -4.9637615700685023e+05 -5.0823293573238951e+05 -5.2024600364318467e+05 -5.3264710936308745e+05 -5.4568633359745692e+05 -5.5963735405673587e+05 -5.7599117503671546e+05 -5.9417323167026986e+05 -6.1467019529206527e+05 -6.3804651727419707e+05 -6.6496449864192191e+05 -6.9621046485683776e+05 -7.3272962868925498e+05 -7.7567326255353226e+05 -8.2646445253283798e+05 -8.8688509187384497e+05 -9.5922093914797227e+05 -1.0464046969098941e+06 -1.1522735545694749e+06 -1.2820242159478101e+06 -1.4426474737253888e+06 -1.6437612535153122e+06 -1.8986154878791457e+06 -2.2254282003804524e+06 -2.6486856252156780e+06 -3.1996627896088273e+06 -3.9148647741173133e+06 -4.8306600462544952e+06 -5.9737628178561199e+06 -7.3494210776193161e+06 -8.9321054577066973e+06 -1.0663454687793303e+07 -1.2459459899163350e+07 -1.4225017721535137e+07 -1.5869163151325500e+07 -1.7319152735437412e+07 -1.8528028675239604e+07 -1.9476268109369166e+07 -2.0170672981212210e+07 -2.0640065177122790e+07 -2.0926176908546824e+07 -2.1077577296999462e+07 -2.1139974777421571e+07 -2.1150525465597980e+07 -2.1134785745947246e+07 -2.1115868619965538e+07 -2.1093832618634071e+07 -2.1070073382566519e+07 -2.1044686173211627e+07 -2.1018333879262768e+07 -2.0990566555247962e+07 -2.0961366396571230e+07 -2.0929573669154830e+07 -2.0895544546334606e+07 -2.0858652240390293e+07 -2.0818407056777082e+07 -2.0774213912345160e+07 -2.0725402389951479e+07 -2.0671206674050178e+07 -2.0610765977954626e+07 -2.0543173391241364e+07 -2.0467383750450741e+07 -2.0382296471471757e+07 -2.0286727198872756e+07 -2.0179454469876729e+07 -2.0059253151747257e+07 -1.9924958430691104e+07 -1.9775819376961920e+07 -1.9610539722582076e+07 -1.9429127649579432e+07 -1.9232002786044650e+07 -1.9020711415760491e+07 -1.8797884712455172e+07 -1.8568531197691731e+07 -1.8340278864575855e+07 -1.8124477975309625e+07 -1.7937673531414453e+07 -1.7803389445362598e+07 -1.7755280565563291e+07 -1.7841675357337035e+07 -1.8133472318717882e+07 -1.8738076869770192e+07 -1.9825624429415826e+07 -2.1681174609208051e+07 1.0541958466246547e+06 +6.3856258565380228e-02 -4.8105459632320987e+05 -3.5725000021953962e+05 -1.4485985527669365e+05 1.3005553410337139e+05 3.9736318673350569e+05 5.5192444343047542e+05 5.4659708304594003e+05 4.5915013409634214e+05 3.6905951350158796e+05 2.9225184369577246e+05 2.1904771802657621e+05 1.4807162776009738e+05 8.1245369631506401e+04 1.9213894142974608e+04 -3.8228198320103307e+04 -9.0751887135264100e+04 -1.3813439378742455e+05 -1.8071199569232989e+05 -2.1896006510585052e+05 -2.5332917564229091e+05 -2.8421475246623566e+05 -3.1168580046069151e+05 -3.3330256960972626e+05 -3.4402152107999532e+05 -3.5307648646869021e+05 -3.6990329153027007e+05 -3.8907637438931514e+05 -4.0714654174926947e+05 -4.2375162911501073e+05 -4.3906501230280934e+05 -4.5329867521225882e+05 -4.6666058092315419e+05 -4.7935439395457215e+05 -4.9158246167195332e+05 -5.0354923343666492e+05 -5.1546484758489591e+05 -5.2754905114986224e+05 -5.4003544825840858e+05 -5.5317630857030512e+05 -5.6724788691304962e+05 -5.8375581027741940e+05 -6.0212178554307041e+05 -6.2283781001006940e+05 -6.4647471400359471e+05 -6.7370247414980177e+05 -7.0531670905892516e+05 -7.4227397235415154e+05 -7.8573950794260879e+05 -8.3715381625669706e+05 -8.9832071471822762e+05 -9.7155417298510671e+05 -1.0598231020524548e+06 -1.1670119472985950e+06 -1.2983810217420177e+06 -1.4610056551894592e+06 -1.6646176910712318e+06 -1.9226183923804241e+06 -2.2534213688662504e+06 -2.6817494151625978e+06 -3.2391289046096485e+06 -3.9622699887863169e+06 -4.8876038917010287e+06 -6.0416678718735436e+06 -7.4292484841057677e+06 -9.0241255933157429e+06 -1.0767164931145905e+07 -1.2573680598126790e+07 -1.4348126436189141e+07 -1.5999366648223147e+07 -1.7454729439598240e+07 -1.8667482535482641e+07 -1.9618384931645475e+07 -2.0314518825406350e+07 -2.0784951294064764e+07 -2.1071607542821348e+07 -2.1223217981231939e+07 -2.1285614013905920e+07 -2.1296042598329417e+07 -2.1280119424747918e+07 -2.1261052113792233e+07 -2.1238856596177272e+07 -2.1214931175128479e+07 -2.1189368547102444e+07 -2.1162834846644543e+07 -2.1134876600026738e+07 -2.1105475599501759e+07 -2.1073464301013254e+07 -2.1039201233280972e+07 -2.1002055297934033e+07 -2.0961533433579154e+07 -2.0917036465905193e+07 -2.0867889368558891e+07 -2.0813321088219028e+07 -2.0752464781642802e+07 -2.0684407499239776e+07 -2.0608096807670794e+07 -2.0522424556237858e+07 -2.0426198247143324e+07 -2.0318188020114660e+07 -2.0197160319694288e+07 -2.0061942350315332e+07 -1.9911777886377513e+07 -1.9745361936697256e+07 -1.9562702658386689e+07 -1.9364222564548776e+07 -1.9151478569856152e+07 -1.8927119937449519e+07 -1.8696189622464057e+07 -1.8466368084556252e+07 -1.8249083496285699e+07 -1.8060994779102851e+07 -1.7925787496862426e+07 -1.7877347897768978e+07 -1.7964336659383096e+07 -1.8258139710613471e+07 -1.8866900898688454e+07 -1.9961925365468107e+07 -2.1830232190738488e+07 1.0670194935323636e+06 +6.4249819897715610e-02 -4.8793071776767302e+05 -3.6425533837526420e+05 -1.5208660347972167e+05 1.2253994075576410e+05 3.8956341773687984e+05 5.4395634064039728e+05 5.3862838545827230e+05 4.5126824219279888e+05 3.6126810146967100e+05 2.8453754990052851e+05 2.1140740890909141e+05 1.4050353074252064e+05 7.3745511467534190e+04 1.1777463394265207e+04 -4.5605933178425592e+04 -9.8076170984536395e+04 -1.4541087774865908e+05 -1.8794612711257185e+05 -2.2615693825462076e+05 -2.6049356579394898e+05 -2.9135118675755948e+05 -3.1879890374399180e+05 -3.4039961543803028e+05 -3.5111520844186499e+05 -3.6017078537271841e+05 -3.7699296709400159e+05 -3.9616182407955063e+05 -4.1423201158169762e+05 -4.3084224417803128e+05 -4.4616633347354189e+05 -4.6041676373284316e+05 -4.7380212256356410e+05 -4.8652684341415548e+05 -4.9879420730391738e+05 -5.1080978635045409e+05 -5.2278505843554536e+05 -5.3494136043015053e+05 -5.4751417594340118e+05 -5.6075799156233307e+05 -5.7495167187916511e+05 -5.9161565107046289e+05 -6.1016785797421797e+05 -6.3110568217426969e+05 -6.5500641206841450e+05 -6.8254779476946534e+05 -7.1453485658419761e+05 -7.5193563137445482e+05 -7.9592950574684481e+05 -8.4797460716420307e+05 -9.0989694387782749e+05 -9.8403903796374402e+05 -1.0734064435818256e+06 -1.1819314230368566e+06 -1.3149386412210674e+06 -1.4795889243840293e+06 -1.6857292675753264e+06 -1.9469137739527375e+06 -2.2817533210010286e+06 -2.7152087663313905e+06 -3.2790584495243556e+06 -4.0102163657890386e+06 -4.9451726103555020e+06 -6.1102810024806522e+06 -7.5098588832271760e+06 -9.1169884697580151e+06 -1.0871758502841845e+07 -1.2688805765088040e+07 -1.4472144222545734e+07 -1.6130471955526346e+07 -1.7591193877381746e+07 -1.8807807600884184e+07 -1.9761357088510789e+07 -2.0459206629996590e+07 -2.0930669188217394e+07 -2.1217862795236219e+07 -2.1369678561852373e+07 -2.1432070099186677e+07 -2.1442374524983499e+07 -2.1426266341305465e+07 -2.1407047863608912e+07 -2.1384691880951956e+07 -2.1360599325348675e+07 -2.1334860291169014e+07 -2.1308144167812414e+07 -2.1279993930662546e+07 -2.1250390963526893e+07 -2.1218159871354353e+07 -2.1183661550062906e+07 -2.1146260566537738e+07 -2.1105460473773811e+07 -2.1060657983321443e+07 -2.1011173433847122e+07 -2.0956230505374148e+07 -2.0894956262185734e+07 -2.0826431684603319e+07 -2.0749597027500145e+07 -2.0663336531282768e+07 -2.0566449510207601e+07 -2.0457697659586709e+07 -2.0335838954057597e+07 -2.0199692572068553e+07 -2.0048496960467581e+07 -1.9880938359000601e+07 -1.9697024898437776e+07 -1.9497181993076131e+07 -1.9282977247917116e+07 -1.9057078116690122e+07 -1.8824562180767581e+07 -1.8593162660226196e+07 -1.8374386071938317e+07 -1.8185005897228327e+07 -1.8048870254441056e+07 -1.8000098086404003e+07 -1.8087684140690714e+07 -1.8383504503917582e+07 -1.8996445581534244e+07 -2.0098988782395575e+07 -2.1980123613995206e+07 1.0799978027404044e+06 +6.4645806842289946e-02 -4.9489073185473995e+05 -3.7134441632504092e+05 -1.5939684069687422e+05 1.1494118027197498e+05 3.8168078758356004e+05 5.3590554423609958e+05 5.3057697330931970e+05 4.4330351442905056e+05 3.5339373117123445e+05 2.7674018897247018e+05 2.0368392785121995e+05 1.3285215759963915e+05 6.6162276409549726e+04 4.2575582196880005e+03 -5.3067237393642215e+04 -1.0548411694194691e+05 -1.5277111496625422e+05 -1.9526410282988645e+05 -2.3343774841576570e+05 -2.6774198916618060e+05 -2.9857175610569341e+05 -3.2599625156152016e+05 -3.4758102334319166e+05 -3.5829338354029250e+05 -3.6734972018143057e+05 -3.8416746040825918e+05 -4.0333230436269304e+05 -4.2140275721896661e+05 -4.3801841826848214e+05 -4.5335354209953843e+05 -4.6762112175179832e+05 -4.8103037912844960e+05 -4.9378652795916639e+05 -5.0609379610827292e+05 -5.1815889381249063e+05 -5.3019465637736022e+05 -5.4242403134313517e+05 -5.5508440607323009e+05 -5.6843251239459577e+05 -5.8274985771195474e+05 -5.9957187013770372e+05 -6.1831265007063013e+05 -6.3947504650153790e+05 -6.6364288598456408e+05 -6.9150178216448764e+05 -7.2386628498212283e+05 -7.6171604961174959e+05 -8.0624477863319800e+05 -8.5892844177224068e+05 -9.2161550794885156e+05 -9.9667739701559208e+05 -1.0871567460666047e+06 -1.1970342016582182e+06 -1.3316995313462734e+06 -1.4984000269758494e+06 -1.7070990802781263e+06 -1.9715051551916846e+06 -2.3104280847366615e+06 -2.7490682858646023e+06 -3.3194566560534644e+06 -4.0587097499477933e+06 -5.0033725697580520e+06 -6.1796089306272734e+06 -7.5912591305949045e+06 -9.2107008581522834e+06 -1.0977241916442007e+07 -1.2804841554627268e+07 -1.4597076846204270e+07 -1.6262484473378519e+07 -1.7728551136975456e+07 -1.8949008711508457e+07 -1.9905189233107474e+07 -2.0604740914022945e+07 -2.1077223286918547e+07 -2.1364947033521544e+07 -2.1516963369767521e+07 -2.1579347342166204e+07 -2.1589525540921625e+07 -2.1573230781822231e+07 -2.1553860150152262e+07 -2.1531342748596963e+07 -2.1507082103777558e+07 -2.1481165670804828e+07 -2.1454266102754325e+07 -2.1425922801552780e+07 -2.1396116737065025e+07 -2.1363664622131638e+07 -2.1328929731770314e+07 -2.1291272273861665e+07 -2.1250192396814730e+07 -2.1205082675114509e+07 -2.1155258786454726e+07 -2.1099939115213782e+07 -2.1038244596982770e+07 -2.0969250111035079e+07 -2.0891888558301613e+07 -2.0805036527699180e+07 -2.0707485099817123e+07 -2.0597987478248347e+07 -2.0475293120439846e+07 -2.0338213134310007e+07 -2.0185980607443683e+07 -2.0017272964185353e+07 -1.9832098307656407e+07 -1.9630884969577678e+07 -1.9415211305027816e+07 -1.9187763060136132e+07 -1.8953652636083983e+07 -1.8720666308794726e+07 -1.8500389375764769e+07 -1.8309710521384414e+07 -1.8172641326472130e+07 -1.8123534730138656e+07 -1.8211721417443652e+07 -1.8509570373942323e+07 -1.9126714716117647e+07 -2.0236818698470093e+07 -2.2130853273304183e+07 1.0931326148129306e+06 +6.5044234348729246e-02 -5.0193568149762618e+05 -3.7851826717471570e+05 -1.6679160114147083e+05 1.0725821287927701e+05 3.7371425394909002e+05 5.2777101578490413e+05 5.2244180497478135e+05 4.3525491180799674e+05 3.4543536223664589e+05 2.6885872147824010e+05 1.9587623538501607e+05 1.2511646933247530e+05 5.8494625637851590e+04 -3.3468600610628109e+03 -6.0613149585995605e+04 -1.1297676366857925e+05 -1.6021614423590954e+05 -2.0266696190228703e+05 -2.4080353502503998e+05 -2.7507548571372667e+05 -3.0587750112853479e+05 -3.3327888535671361e+05 -3.5484783580695128e+05 -3.6555709014301910e+05 -3.7461433623744186e+05 -3.9142781871557026e+05 -4.1058886475529551e+05 -4.2865983089073154e+05 -4.4528120683585288e+05 -4.6062769744200353e+05 -4.7491281303612143e+05 -4.8834641969622235e+05 -5.0113452292376838e+05 -5.1348231077671819e+05 -5.2559764716132113e+05 -5.3769474290052534e+05 -5.4999817728862015e+05 -5.6274726601156814e+05 -5.7620101479430206e+05 -5.9064360730589216e+05 -6.0762565463268163e+05 -6.2655737771660043e+05 -6.4794715289573965e+05 -6.7238542594243074e+05 -7.0056577424786496e+05 -7.3331238872939011e+05 -7.7161668866025587e+05 -8.1668686795716395e+05 -8.7001695642794226e+05 -9.3347815671338968e+05 -1.0094711358708944e+06 -1.1010760588109544e+06 -1.2123225300839837e+06 -1.3486661789044738e+06 -1.5174417417594458e+06 -1.7287302634452335e+06 -1.9963961001612362e+06 -2.3394497343227658e+06 -2.7833326319684964e+06 -3.3603288109021974e+06 -4.1077560433014585e+06 -5.0622101943728123e+06 -6.2496584312306186e+06 -7.6734561306872731e+06 -9.3052695722647849e+06 -1.1083621721966408e+07 -1.2921794152312825e+07 -1.4722930099654982e+07 -1.6395409625808664e+07 -1.7866806328531142e+07 -1.9091090728156589e+07 -2.0049886038603440e+07 -2.0751126216070481e+07 -2.1224618036832575e+07 -2.1512864644590031e+07 -2.1665076754996035e+07 -2.1727450070797559e+07 -2.1737499960582841e+07 -2.1721017051442161e+07 -2.1701493273073945e+07 -2.1678813493671991e+07 -2.1654383799965184e+07 -2.1628288970246378e+07 -2.1601204930377200e+07 -2.1572667485917367e+07 -2.1542657187394101e+07 -2.1509982814159311e+07 -2.1475010032271411e+07 -2.1437094666262764e+07 -2.1395733440882061e+07 -2.1350314770433795e+07 -2.1300149645601455e+07 -2.1244451125916209e+07 -2.1182333981895819e+07 -2.1112866960638750e+07 -2.1034975566735741e+07 -2.0947528694868468e+07 -2.0849309145862777e+07 -2.0739061584198620e+07 -2.0615526902448300e+07 -2.0477508093363583e+07 -2.0324232853153884e+07 -2.0154369744493436e+07 -1.9967926841337971e+07 -1.9765335409205716e+07 -1.9548184613410499e+07 -1.9319178594602592e+07 -1.9083464768520478e+07 -1.8848882763951216e+07 -1.8627097097448524e+07 -1.8435112303255692e+07 -1.8297104337283187e+07 -1.8247661443490621e+07 -1.8336452121760678e+07 -1.8636341012238633e+07 -1.9257712117087968e+07 -2.0375419149725780e+07 -2.2282425582490183e+07 1.1064257917545782e+06 +6.5445117458797636e-02 -5.0906661224401073e+05 -3.8577794664285169e+05 -1.7427193546609968e+05 9.9489989285672957e+04 3.6566276505466958e+05 5.1955169568810822e+05 5.1422182490204478e+05 4.2712138122225011e+05 3.3739194086829678e+05 2.6089209511092879e+05 1.8798327931106248e+05 1.1729541418141934e+05 5.0741507555283635e+04 -1.1036842902341446e+04 -6.8244721152439219e+04 -1.2055516260321929e+05 -1.6774701714434937e+05 -2.1015575617776808e+05 -2.4825535030841277e+05 -2.8249510819195939e+05 -3.1326947525357280e+05 -3.4064785939663678e+05 -3.6220110814531404e+05 -3.7290738486791821e+05 -3.8196569175674760e+05 -3.9877510215591028e+05 -4.1793256769925327e+05 -4.3600429778435960e+05 -4.5263167832671606e+05 -4.6798987180780276e+05 -4.8229291445085715e+05 -4.9575132651079539e+05 -5.0857191688428575e+05 -5.2096084733288019e+05 -5.3312715117133933e+05 -5.4528643305478618e+05 -5.5766492537139868e+05 -5.7050389699833258e+05 -5.8406465656579903e+05 -5.9863409786596766e+05 -6.1577820631526015e+05 -6.3490327175128518e+05 -6.5652326663188939e+05 -6.8123533799584117e+05 -7.0974112537525932e+05 -7.4287457943730324e+05 -7.8163902806674293e+05 -8.2725733399642492e+05 -8.8124180754931143e+05 -9.4548666139049537e+05 -1.0224221633361260e+06 -1.1151664561475483e+06 -1.2277986826086193e+06 -1.3658411008568532e+06 -1.5367168810418316e+06 -1.7506259887872599e+06 -2.0215902148526432e+06 -2.3688223907917296e+06 -2.8180065144048333e+06 -3.4016802562695416e+06 -4.1573612055470152e+06 -5.1216919659993919e+06 -6.3204363334821118e+06 -7.7564568370439000e+06 -9.4007014685982037e+06 -1.1190904505891042e+07 -1.3039669774805387e+07 -1.4849709802271236e+07 -1.6529252860812372e+07 -1.8005964584174220e+07 -1.9234058532426525e+07 -2.0195452198155902e+07 -2.0898367094334666e+07 -2.1372857903988671e+07 -2.1661620034492437e+07 -2.1814023086637560e+07 -2.1876382632024765e+07 -2.1886302117313605e+07 -2.1869629474250961e+07 -2.1849951550997291e+07 -2.1827108429609776e+07 -2.1802508722209848e+07 -2.1776234492586575e+07 -2.1748964948335595e+07 -2.1720232275780473e+07 -2.1690016600511458e+07 -2.1657118726935506e+07 -2.1621906724128943e+07 -2.1583732008736081e+07 -2.1542087862786829e+07 -2.1496358517045759e+07 -2.1445850249095999e+07 -2.1389770764226180e+07 -2.1327228631251860e+07 -2.1257286433935493e+07 -2.1178862237825427e+07 -2.1090817200398244e+07 -2.0991925796437640e+07 -2.0880924103583161e+07 -2.0756544401677385e+07 -2.0617581523345292e+07 -2.0463257741238464e+07 -2.0292232709694602e+07 -2.0104514472220361e+07 -1.9900537244424451e+07 -1.9681901062231924e+07 -1.9451328563728895e+07 -1.9214002374855235e+07 -1.8977815775758773e+07 -1.8754512942955807e+07 -1.8561214910603281e+07 -1.8422262927215952e+07 -1.8372481856960803e+07 -1.8461879901788779e+07 -1.8763820126591999e+07 -1.9389441615870450e+07 -2.0514794189959198e+07 -2.2434844974719852e+07 1.1198792172514948e+06 +6.5848471306965223e-02 -5.1628457882033807e+05 -3.9312450998052687e+05 -1.8183890448759674e+05 9.1635442743651511e+04 3.5752525556021248e+05 5.1124652059589967e+05 5.0591596653966291e+05 4.1890185520626145e+05 3.2926240206722537e+05 2.5283924444081055e+05 1.8000399465343199e+05 1.0938792741773254e+05 4.2901857633909654e+04 -1.8813454686044941e+04 -7.5963016425120368e+04 -1.2822037811847225e+05 -1.7536479822893781e+05 -2.1773155045262972e+05 -2.5579425944074770e+05 -2.9000192231167573e+05 -3.2074874487359909e+05 -3.4810424092739786e+05 -3.6964190866532683e+05 -3.8034533734144608e+05 -3.8940485798379907e+05 -4.0621038392301241e+05 -4.2536448871988693e+05 -4.4343723620420526e+05 -4.6007091434532951e+05 -4.7544115070745145e+05 -4.8976251612202893e+05 -5.0324619514107844e+05 -5.1609981181714236e+05 -5.2853051529324369e+05 -5.4074852421881247e+05 -5.5297085561650747e+05 -5.6542541657053831e+05 -5.7835545431849512e+05 -5.9202460975911585e+05 -6.0672252108056284e+05 -6.2403074172898708e+05 -6.4335157815475797e+05 -6.6520466854578094e+05 -6.9019394425462384e+05 -7.1902920654942386e+05 -7.5255428605921101e+05 -7.9178456554461166e+05 -8.3795775617551839e+05 -8.9260467186684546e+05 -9.5764281490111910e+05 -1.0355324115715714e+06 -1.1294300377428732e+06 -1.2434649612258938e+06 -1.3832268446956372e+06 -1.5562282910400052e+06 -1.7727894658817735e+06 -2.0470911476611753e+06 -2.3985502224727422e+06 -2.8530946950203711e+06 -3.4435163903548149e+06 -4.2075312544991532e+06 -5.1818244240958430e+06 -6.3919495211238936e+06 -7.8402682524488652e+06 -9.4970034465185590e+06 -1.1299096891220229e+07 -1.3158474669845417e+07 -1.4977421800271034e+07 -1.6664019650238089e+07 -1.8146031057982016e+07 -1.9377917026621353e+07 -2.0341892424964875e+07 -2.1046468126585640e+07 -2.1521947373690099e+07 -2.1811217628466785e+07 -2.1963806752856202e+07 -2.2026149391792431e+07 -2.2035936363474187e+07 -2.2019072393241990e+07 -2.1999239321409408e+07 -2.1976231888737004e+07 -2.1951461197765216e+07 -2.1925006559772991e+07 -2.1897550473173272e+07 -2.1868621481951505e+07 -2.1838199281233035e+07 -2.1805076658731163e+07 -2.1769624098625030e+07 -2.1731188585023072e+07 -2.1689259937934726e+07 -2.1643218181319367e+07 -2.1592364853222065e+07 -2.1535902275336847e+07 -2.1472932777851276e+07 -2.1402512749821454e+07 -2.1323552774928890e+07 -2.1234906230139829e+07 -2.1135339217795767e+07 -2.1023579180605635e+07 -2.0898349737626296e+07 -2.0758437516197737e+07 -2.0603059332983308e+07 -2.0430865887198471e+07 -2.0241865190387983e+07 -2.0036494424813375e+07 -1.9816364557751417e+07 -1.9584216828007493e+07 -1.9345269268451001e+07 -1.9107469110748596e+07 -1.8882640634464446e+07 -1.8688022027222857e+07 -1.8548120752462801e+07 -1.8497999616896488e+07 -1.8588008421671715e+07 -1.8892011441049132e+07 -1.9521907060639113e+07 -2.0654947890712343e+07 -2.2588115902624533e+07 1.1334947969149214e+06 +6.6254311120979445e-02 -5.2359066664878617e+05 -4.0055903236062179e+05 -1.8949358804765856e+05 8.3693495235451759e+04 3.4930064445554721e+05 5.0285440808618016e+05 4.9752315111067524e+05 4.1059525315233960e+05 3.2104566748549469e+05 2.4469909094144448e+05 1.7193730337904903e+05 1.0139293119673102e+05 3.4974598259800448e+04 -2.6677772877101164e+04 -8.3769112832162486e+04 -1.3597348767882417e+05 -1.8307056513438601e+05 -2.2539542262998622e+05 -2.6342134070384002e+05 -2.9759700689755788e+05 -3.2831638950467436e+05 -3.5564911033250001e+05 -3.7717131882343767e+05 -3.8787203035610251e+05 -3.9693291935191990e+05 -4.1373475042433204e+05 -4.3288571658530761e+05 -4.5095973773292970e+05 -4.6760000981232180e+05 -4.8298263301698654e+05 -4.9732272159784980e+05 -5.1083213464376674e+05 -5.2371932326847542e+05 -5.3619243783266190e+05 -5.4846289844502136e+05 -5.6074915325417905e+05 -5.7328080590612092e+05 -5.8630310747437296e+05 -6.0008206084827776e+05 -6.1491008330024639e+05 -6.3238449238250917e+05 -6.5190355823098344e+05 -6.7399265522105130e+05 -6.9926258308123623e+05 -7.2843140562015167e+05 -7.6235295510182937e+05 -8.0205481719704601e+05 -8.4878973330032977e+05 -9.0410724666875985e+05 -9.6994843212712335e+05 -1.0488038363709829e+06 -1.1438689288960639e+06 -1.2593236959585811e+06 -1.4008259888089364e+06 -1.5759788522735962e+06 -1.7952239426195202e+06 -2.0729025898435558e+06 -2.4286374454798894e+06 -2.8886019882488786e+06 -3.4858426678506699e+06 -4.2582722665447630e+06 -5.2426141662039580e+06 -6.4642049326948831e+06 -7.9248974291053489e+06 -9.5941824483729098e+06 -1.1408205537558626e+07 -1.3278215116257770e+07 -1.5106071966767799e+07 -1.6799715489838261e+07 -1.8287010925924242e+07 -1.9522671133762006e+07 -2.0489211452216763e+07 -2.1195433910135370e+07 -2.1671890950542405e+07 -2.1961661870894257e+07 -2.2114432160837464e+07 -2.2176754735055584e+07 -2.2186407070330869e+07 -2.2169350170339502e+07 -2.2149360940670654e+07 -2.2126188222220443e+07 -2.2101245572671462e+07 -2.2074609512554947e+07 -2.2046965840140142e+07 -2.2017839434002675e+07 -2.1987209553040322e+07 -2.1953860926531389e+07 -2.1918166465703674e+07 -2.1879468697411001e+07 -2.1837253960399978e+07 -2.1790898048193786e+07 -2.1739697732894104e+07 -2.1682849922928825e+07 -2.1619450672886338e+07 -2.1548550145566165e+07 -2.1469051399641100e+07 -2.1379799988218699e+07 -2.1279553594279494e+07 -2.1167030977517057e+07 -2.1040947047763769e+07 -2.0900080181690328e+07 -2.0743641707370274e+07 -2.0570273321869854e+07 -2.0379983003338195e+07 -2.0173210917230986e+07 -1.9951579023191605e+07 -1.9717847264688399e+07 -1.9477269279274978e+07 -1.9237846551811237e+07 -1.9011483910322491e+07 -1.8815537352963582e+07 -1.8674681485200599e+07 -1.8624218385552518e+07 -1.8714841361421879e+07 -1.9020918695838545e+07 -1.9655112316334117e+07 -2.0795884341251813e+07 -2.2742242838173069e+07 1.1472744585273431e+06 +6.6662652222439972e-02 -5.3098595199089509e+05 -4.0808260539716057e+05 -1.9723707308843071e+05 7.5663056727284071e+04 3.4098784258704138e+05 4.9437426946079975e+05 4.8904228764228703e+05 4.0220048370656732e+05 3.1274064420793619e+05 2.3647054267260927e+05 1.6378211410020804e+05 9.3309334422704953e+04 2.6958638578717830e+04 -3.4630888183347575e+04 -9.1664101058444459e+04 -1.4381558200182472e+05 -1.9086540876610993e+05 -2.3314846387819992e+05 -2.7113768565095472e+05 -3.0528145404650888e+05 -3.3597350194578856e+05 -3.6328356129265175e+05 -3.8479043338503229e+05 -3.9548856003200938e+05 -4.0455097364379937e+05 -4.2134930144247256e+05 -4.4049735346702725e+05 -4.5857290738985880e+05 -4.7522007312913489e+05 -4.9061543114008842e+05 -5.0497464801045012e+05 -5.1851026772867487e+05 -5.3143158051315730e+05 -5.4394775195123744e+05 -5.5627141992692125e+05 -5.6862248270041239e+05 -5.8123226261103293e+05 -5.9434804035805888e+05 -6.0823821090199146e+05 -6.2319800571357179e+05 -6.4084070492994611e+05 -6.6056048879191431e+05 -6.8288853918161546e+05 -7.0844260928731901e+05 -7.3794912749042956e+05 -7.7227205083883647e+05 -8.1245131773964223e+05 -8.5975488379117567e+05 -9.1575125005278597e+05 -9.8240535017649271e+05 -1.0622384174514846e+06 -1.1584852808527139e+06 -1.2753772451962742e+06 -1.4186411428457513e+06 -1.5959714799643040e+06 -1.8179327056299211e+06 -2.0990282760101384e+06 -2.4590883242256655e+06 -2.9245332616463308e+06 -3.5286646004610681e+06 -4.3095903770899661e+06 -5.3040678482977757e+06 -6.5372095618596878e+06 -8.0103514688358456e+06 -9.6922454595486950e+06 -1.1518237141113559e+07 -1.3398897423978573e+07 -1.5235666201717021e+07 -1.6936345899255499e+07 -1.8428909385938153e+07 -1.9668325797525100e+07 -2.0637414032996543e+07 -2.1345269061803386e+07 -2.1822693158462223e+07 -2.2112957225274485e+07 -2.2265903736793052e+07 -2.2328203065695293e+07 -2.2337718628073685e+07 -2.2320467186340526e+07 -2.2300320784044590e+07 -2.2276981800109629e+07 -2.2251866211792011e+07 -2.2225047710445434e+07 -2.2197215403339528e+07 -2.2167890480255187e+07 -2.2137051758241940e+07 -2.2103475865961891e+07 -2.2067538153967693e+07 -2.2028576666923255e+07 -2.1986074242770534e+07 -2.1939402421123240e+07 -2.1887853181474380e+07 -2.1830617989192568e+07 -2.1766786585980400e+07 -2.1695402876775723e+07 -2.1615362351910569e+07 -2.1525502696900595e+07 -2.1424573128391728e+07 -2.1311283674580697e+07 -2.1184340487463336e+07 -2.1042513647385422e+07 -2.0885008961041618e+07 -2.0710459076126989e+07 -2.0518871935895950e+07 -2.0310690705632471e+07 -2.0087548398791175e+07 -1.9852223767890815e+07 -1.9610006253889538e+07 -1.9368951898243409e+07 -1.9141046525080580e+07 -1.8943764603677344e+07 -1.8801948813435044e+07 -1.8751141840965211e+07 -1.8842382417020641e+07 -1.9150545647407264e+07 -1.9789061264648858e+07 -2.0937607648534935e+07 -2.2897230272727553e+07 1.1612201522912332e+06 +6.7073510027377159e-02 -5.3847154567530169e+05 -4.1569632682277053e+05 -2.0507046698279629e+05 6.7543022516719371e+04 3.3258574002175417e+05 4.8580499652147730e+05 4.8047226600456430e+05 3.9371643917676678e+05 3.0434622714051779e+05 2.2815249429184617e+05 1.5553732192805407e+05 8.5136032598857098e+04 1.8852874334197866e+04 -4.2673904720438368e+04 -9.9649085202565679e+04 -1.5174776522141253e+05 -1.9875043344206183e+05 -2.4099177879024524e+05 -2.7894439926868764e+05 -3.1305636929220858e+05 -3.4372118844064209e+05 -3.7100870094711194e+05 -3.9250036058786634e+05 -4.0319603597937099e+05 -4.1226013215387007e+05 -4.2905515029648482e+05 -4.4820051510500506e+05 -4.6627786379782239e+05 -4.8293222634028568e+05 -4.9834067117344175e+05 -5.1271942624317622e+05 -5.2628173092464474e+05 -5.3923772672616888e+05 -5.5179760864146147e+05 -5.6417524884235568e+05 -5.7659201491994015e+05 -5.8928097030570556e+05 -6.0249145142665913e+05 -6.1649427576531493e+05 -6.3158752453147434e+05 -6.4940064135865949e+05 -6.6932366235091654e+05 -6.9189364908697468e+05 -7.1773539433460648e+05 -7.4758379432106076e+05 -7.8231305552357773e+05 -8.2297562072639028e+05 -8.7085484592446557e+05 -9.2753842117709294e+05 -9.9501542865539400e+05 -1.0758381587347144e+06 -1.1732812711141668e+06 -1.2916279960300692e+06 -1.4366749480835118e+06 -1.6162091244511085e+06 -1.8409190807362315e+06 -2.1254719845909295e+06 -2.4899071719296421e+06 -2.9608934363908260e+06 -3.5719877573878327e+06 -4.3614917810274372e+06 -5.3661921851634616e+06 -6.6109704576393859e+06 -8.0966375232404144e+06 -9.7911995086143743e+06 -1.1629198434747420e+07 -1.3520527934034290e+07 -1.5366210431923125e+07 -1.7073916421961322e+07 -1.8571731657808393e+07 -1.9814885982303634e+07 -2.0786504940363161e+07 -2.1495978217952013e+07 -2.1974358540531050e+07 -2.2265108174151596e+07 -2.2418225925987355e+07 -2.2480498806570444e+07 -2.2489875445791833e+07 -2.2472427840891305e+07 -2.2452123245607905e+07 -2.2428617011238955e+07 -2.2403327498800453e+07 -2.2376325531776663e+07 -2.2348303535557639e+07 -2.2318778987734850e+07 -2.2287730257711325e+07 -2.2253925831362888e+07 -2.2217743510690987e+07 -2.2178516833110943e+07 -2.2135725116304088e+07 -2.2088735622156147e+07 -2.2036835510817263e+07 -2.1979210774708644e+07 -2.1914944805114973e+07 -2.1843075217381746e+07 -2.1762489889892794e+07 -2.1672018596640840e+07 -2.1570402040736251e+07 -2.1456341470086463e+07 -2.1328534230002131e+07 -2.1185742058631189e+07 -2.1027165208291221e+07 -2.0851427229869124e+07 -2.0658536030200999e+07 -2.0448937791192010e+07 -2.0224276641733430e+07 -1.9987350248401988e+07 -1.9743484055425022e+07 -1.9500788965665266e+07 -1.9271332249467406e+07 -1.9072707511241909e+07 -1.8929926441147257e+07 -1.8878773677129719e+07 -1.8970635300414536e+07 -1.9280896068347599e+07 -1.9923757803988807e+07 -2.1080121937244739e+07 -2.3053082716982856e+07 1.1753338510803974e+06 +6.7486900046834025e-02 -5.4604856599955366e+05 -4.2340132081853412e+05 -2.1299487907782380e+05 5.9332273844546093e+04 3.2409322027371830e+05 4.7714546670967672e+05 4.7181196528995392e+05 3.8514200022197946e+05 2.9586129735171614e+05 2.1974382739826714e+05 1.4720180850671194e+05 7.6871907673937603e+04 1.0656187700572169e+04 -5.0807940178711418e+04 -1.0772518293256403e+05 -1.5977115505278626e+05 -2.0672675704832998e+05 -2.4892648554388192e+05 -2.8684260014180717e+05 -3.2092287176775734e+05 -3.5156056884228968e+05 -3.7882565005729703e+05 -4.0030222230463440e+05 -4.1099558146311471e+05 -4.2006151985271677e+05 -4.3685342400837858e+05 -4.5599633097086271e+05 -4.7407573934728332e+05 -4.9073760530033812e+05 -5.0615949307358020e+05 -5.2055820109774685e+05 -5.3414767474626668e+05 -5.4713891914996330e+05 -5.5974317305897956e+05 -5.7217555964770389e+05 -5.8465893528431235e+05 -5.9742812717073981e+05 -6.1073455387968861e+05 -6.2485148623669555e+05 -6.4007989116759098e+05 -6.5806557917148981e+05 -6.7819438731034519e+05 -7.0100932992629148e+05 -7.2714232653761888e+05 -7.5733684574513976e+05 -7.9247746961388143e+05 -8.3362929877705837e+05 -8.8209127806928847e+05 -9.3947052051304746e+05 -1.0077805499345773e+06 -1.0896050886464687e+06 -1.1882591037491928e+06 -1.3080783645995450e+06 -1.4549300778095201e+06 -1.6366947715898622e+06 -1.8641864334001255e+06 -2.1522375383399408e+06 -2.5210983511331156e+06 -2.9976874878333323e+06 -3.6158177658645688e+06 -4.4139827331821127e+06 -5.4289939507634649e+06 -6.6854947247196352e+06 -8.1837627938803034e+06 -9.8910516673731003e+06 -1.1741096188071534e+07 -1.3643113018567380e+07 -1.5497710611041032e+07 -1.7212432625266753e+07 -1.8715482983197808e+07 -1.9962356673105020e+07 -2.0936488967297751e+07 -2.1647566034394886e+07 -2.2126891659158435e+07 -2.2418119219239630e+07 -2.2571403192575425e+07 -2.2633646399406739e+07 -2.2642881951447222e+07 -2.2625236552492470e+07 -2.2604772738239720e+07 -2.2581098263226174e+07 -2.2555633836128037e+07 -2.2528447373626623e+07 -2.2500234628348447e+07 -2.2470509342202105e+07 -2.2439249431106403e+07 -2.2405215195737060e+07 -2.2368786901725169e+07 -2.2329293554152641e+07 -2.2286210930729255e+07 -2.2238901991796620e+07 -2.2186649051269282e+07 -2.2128632598512053e+07 -2.2063929636651557e+07 -2.1991571459641796e+07 -2.1910438290000759e+07 -2.1819351946074873e+07 -2.1717044569963347e+07 -2.1602208580274038e+07 -2.1473532466516603e+07 -2.1329769578512777e+07 -2.1170114581016239e+07 -2.0993181880469471e+07 -2.0798979345733792e+07 -2.0587956192177620e+07 -2.0361767726164486e+07 -2.0123230633822359e+07 -1.9877706563535418e+07 -1.9633361586086057e+07 -1.9402344870385725e+07 -1.9202369823483609e+07 -1.9058618088074397e+07 -1.9007117603747554e+07 -1.9099603739374079e+07 -1.9411973747439992e+07 -2.0059205849401817e+07 -2.1223431349676590e+07 -2.3209804700936429e+07 1.1896175506939823e+06 +6.7902837887451842e-02 -5.5371812474586826e+05 -4.3119870368875598e+05 -2.2101144452113233e+05 5.1029680359026170e+04 3.1550914813675632e+05 4.6839454909800383e+05 4.6306025171918300e+05 3.7647603379225841e+05 2.8728472164759133e+05 2.1124341010124225e+05 1.3877444182960433e+05 6.8515827891470079e+04 2.3674471178778313e+03 -5.9034125988149652e+04 -1.1589352564374621e+05 -1.6788688295631899e+05 -2.1479551120238911e+05 -2.5695371606365914e+05 -2.9483342061687255e+05 -3.2888209437499702e+05 -3.5949277677952033e+05 -3.8673554317210952e+05 -4.0819715421143093e+05 -4.1888833356859448e+05 -4.2795627555507934e+05 -4.4474526346914243e+05 -4.6388594443630823e+05 -4.8196768036405940e+05 -4.9863735984196753e+05 -5.1407305082595866e+05 -5.2849213146379916e+05 -5.4210926386720547e+05 -5.5513632926885388e+05 -5.6778562469715381e+05 -5.8027354124686134e+05 -5.9282444374957494e+05 -6.0567494612662855e+05 -6.1907857583895198e+05 -6.3331108825375105e+05 -6.4867637242361065e+05 -6.6683681157993805e+05 -6.8717398815635662e+05 -7.1023694321901328e+05 -7.3666481126715650e+05 -7.6720973907752032e+05 -8.0276681198651390e+05 -8.4441394381157984e+05 -8.9346585893295938e+05 -9.5154933010760788e+05 -1.0207026194300902e+06 -1.1035412604046511e+06 -1.2034210097183348e+06 -1.3247307964355915e+06 -1.4734092376897170e+06 -1.6574314431699510e+06 -1.8877381691731361e+06 -2.1793288048066236e+06 -2.5526662742259088e+06 -3.0349204460175084e+06 -3.6601603116541025e+06 -4.4670695487875463e+06 -5.4924799786487846e+06 -6.7607895237065600e+06 -8.2717345324661825e+06 -9.9918090510055926e+06 -1.1853937207375424e+07 -1.3766659080840386e+07 -1.5630172719504509e+07 -1.7351900100289736e+07 -1.8860168625592705e+07 -2.0110742875583392e+07 -2.1087370926665034e+07 -2.1800037186438851e+07 -2.2280297095881790e+07 -2.2571994881179467e+07 -2.2725440019725442e+07 -2.2787650304867905e+07 -2.2796742591826003e+07 -2.2778897758482933e+07 -2.2758273693618450e+07 -2.2734429982494231e+07 -2.2708789644992951e+07 -2.2681417651761133e+07 -2.2653013091965891e+07 -2.2623085948106028e+07 -2.2591613676695962e+07 -2.2557348350653429e+07 -2.2520672711538371e+07 -2.2480911206765275e+07 -2.2437536054363895e+07 -2.2389905889062881e+07 -2.2337298151573993e+07 -2.2278887798004400e+07 -2.2213745405307636e+07 -2.2140895914078396e+07 -2.2059211846870515e+07 -2.1967507022014853e+07 -2.1864504972804859e+07 -2.1748889239353795e+07 -2.1619339405970152e+07 -2.1474600387851179e+07 -2.1313861228722341e+07 -2.1135727142751690e+07 -2.0940205959276844e+07 -2.0727749944024622e+07 -2.0500025643154275e+07 -2.0259868868469119e+07 -2.0012677674414739e+07 -1.9766673607799381e+07 -1.9534088190819032e+07 -1.9332755304215632e+07 -1.9188027489876717e+07 -1.9136177346387673e+07 -1.9229291477581594e+07 -1.9543782489593800e+07 -2.0195409332669415e+07 -2.1367540045808740e+07 -2.3367400773920152e+07 1.2040732701131122e+06 +6.8321339252059313e-02 -5.6148137239540787e+05 -4.3908963034802355e+05 -2.2912130641975786e+05 4.2634095306811178e+04 3.0683237689024425e+05 4.5955109379848966e+05 4.5421598072510207e+05 3.6771739480570162e+05 2.7861535366277944e+05 2.0265009615580831e+05 1.3025407599161250e+05 6.0066647606667968e+04 -6.0144928730392285e+03 -6.7353607481227955e+04 -1.2415525862494364e+05 -1.7609609430073661e+05 -2.2295784142448026e+05 -2.6507461618738843e+05 -3.0291800697162515e+05 -3.3693518395254499e+05 -3.6751895982378250e+05 -3.9473952879604296e+05 -4.1618630595487304e+05 -4.2687544337221008e+05 -4.3594555208674428e+05 -4.5273182360828790e+05 -4.7187051294272637e+05 -4.8995484727991355e+05 -5.0663265394717973e+05 -5.2208251261447265e+05 -5.3652239048962493e+05 -5.5016767729058780e+05 -5.6323114297694922e+05 -5.7592615755924967e+05 -5.8847039717070176e+05 -6.0108975503206195e+05 -6.1402265501245926e+05 -6.2752476053137064e+05 -6.4187434307284304e+05 -6.5737825067750015e+05 -6.7571564769250725e+05 -6.9626380565514893e+05 -7.1957786721616320e+05 -7.4630427116160281e+05 -7.7720394952907914e+05 -8.1318262016663421e+05 -8.5533116728210065e+05 -9.0498028780812619e+05 -9.6377665383928851e+05 -1.0337835658770378e+06 -1.1176487523215569e+06 -1.2187692471934899e+06 -1.3415877668106933e+06 -1.4921151661580321e+06 -1.6784221973413581e+06 -1.9115777341588729e+06 -2.2067496968465517e+06 -2.5846154039644734e+06 -3.0725973962189900e+06 -3.7050211395730707e+06 -4.5207586039268244e+06 -5.5566571622832036e+06 -6.8368620713988962e+06 -8.3605600410178034e+06 -1.0093478818132909e+07 -1.1967728335762063e+07 -1.3891172555232385e+07 -1.5763602764590925e+07 -1.7492324461909473e+07 -1.9005793870306276e+07 -2.0260049615922049e+07 -2.1239155651159786e+07 -2.1953396368724193e+07 -2.2434579451418951e+07 -2.2726739699732024e+07 -2.2880340909540366e+07 -2.2942515002460208e+07 -2.2951461832591664e+07 -2.2933415914923050e+07 -2.2912630562256332e+07 -2.2888616614191640e+07 -2.2862799365283731e+07 -2.2835240800682545e+07 -2.2806643355324991e+07 -2.2776513228472948e+07 -2.2744827411356218e+07 -2.2710329706352800e+07 -2.2673405343177561e+07 -2.2633374186225720e+07 -2.2589704873952385e+07 -2.2541751691439498e+07 -2.2488787178951431e+07 -2.2429980728976250e+07 -2.2364396454122469e+07 -2.2291052909465775e+07 -2.2208814873281930e+07 -2.2116488119288418e+07 -2.2012787524001885e+07 -2.1896387699491262e+07 -2.1765959275200017e+07 -2.1620238685170278e+07 -2.1458409318495326e+07 -2.1279067148963735e+07 -2.1082219964815404e+07 -2.0868323099174343e+07 -2.0639054400667798e+07 -2.0397268913362172e+07 -2.0148401300742853e+07 -1.9900728895431373e+07 -1.9666566029864497e+07 -1.9463867733191341e+07 -1.9318158398008894e+07 -1.9265956646359552e+07 -1.9359702274597224e+07 -1.9676326115799192e+07 -2.0332372202215906e+07 -2.1512452203202818e+07 -2.3525875504512958e+07 1.2187030517602582e+06 +6.8742419940265434e-02 -5.6933946945077227e+05 -4.4707524570245598e+05 -2.3732562228492097e+05 3.4144359103429342e+04 2.9806174482093565e+05 4.5061393445445190e+05 4.4527798987077537e+05 3.5886492118817841e+05 2.6985203236903925e+05 1.9396272484622587e+05 1.2163955095565828e+05 5.1523207089565090e+04 -1.4490791799931747e+04 -7.5767544061686800e+04 -1.3251154123322765e+05 -1.8439994852789066e+05 -2.3121490731515366e+05 -2.7329034583579266e+05 -3.1109751957966160e+05 -3.4508330144776183e+05 -3.7564027966259752e+05 -4.0283876955987379e+05 -4.2427084132178564e+05 -4.3495807611036807e+05 -4.4403051645665127e+05 -4.6081427356482949e+05 -4.7995120817077428e+05 -4.9803841480340378e+05 -5.1472466591906559e+05 -5.3018906099749170e+05 -5.4465016575803224e+05 -5.5832410852401122e+05 -5.7142456075950922e+05 -5.8416598033525643e+05 -5.9676734575284179e+05 -6.0945609878655383e+05 -6.2247249676771811e+05 -6.3607436647005053e+05 -6.5054252746103692e+05 -6.6618682407249883e+05 -6.8470341270955757e+05 -7.0546519705018448e+05 -7.2903349710129516e+05 -7.5606214633113740e+05 -7.8732097042556014e+05 -8.2372645054905757e+05 -8.6638260040986584e+05 -9.1663628482150903e+05 -9.7615431768653379e+05 -1.0470253416147755e+06 -1.1319296681074523e+06 -1.2343061018817597e+06 -1.3586517810989309e+06 -1.5110506348020593e+06 -1.6996701290282423e+06 -1.9357086154729533e+06 -2.2345041731138136e+06 -2.6169502540042424e+06 -3.1107234794785664e+06 -3.7504060540008135e+06 -4.5750563360187067e+06 -5.6215324554589819e+06 -6.9137196410689810e+06 -8.4502466720240675e+06 -1.0196068170903362e+07 -1.2082476453125997e+07 -1.4016659907236159e+07 -1.5898006780333072e+07 -1.7633711348805431e+07 -1.9152364024425298e+07 -2.0410281940941613e+07 -2.1391847993317015e+07 -2.2107648295407213e+07 -2.2589743345690332e+07 -2.2882358233636998e+07 -2.3036110382971730e+07 -2.3098244990565307e+07 -2.3107044158143148e+07 -2.3088795496682968e+07 -2.3067847813283037e+07 -2.3043662622193601e+07 -2.3017667455618147e+07 -2.2989921273578763e+07 -2.2961129865975596e+07 -2.2930795625069857e+07 -2.2898895070635315e+07 -2.2864163691570997e+07 -2.2826989218216009e+07 -2.2786686906279605e+07 -2.2742721794762056e+07 -2.2694443794812940e+07 -2.2641120518955369e+07 -2.2581915765509255e+07 -2.2515887144356012e+07 -2.2442046792797156e+07 -2.2359251700220361e+07 -2.2266299550891370e+07 -2.2161896516294237e+07 -2.2044708230719730e+07 -2.1913396318854492e+07 -2.1766688686696727e+07 -2.1603763034950051e+07 -2.1423206048763860e+07 -2.1225025473660618e+07 -2.1009679727215219e+07 -2.0778858023537226e+07 -2.0535434746175352e+07 -2.0284881371727813e+07 -2.0035531329837799e+07 -1.9799782222726192e+07 -1.9595710906083364e+07 -1.9449014579725202e+07 -1.9396459260769445e+07 -1.9490839905737136e+07 -1.9809608463192321e+07 -2.0470098423056718e+07 -2.1658172017059240e+07 -2.3685233480504349e+07 1.2335089617612725e+06 +6.9166095849055947e-02 -5.7729358263036620e+05 -4.5515673037450004e+05 -2.4562556588373423e+05 2.5559298207639211e+04 2.8919607831767108e+05 4.4158190465503832e+05 4.3624510011160368e+05 3.4991743505551154e+05 2.6099358256931309e+05 1.8518012117667563e+05 1.1292969241708390e+05 4.2884332348976233e+04 -2.3062623432698067e+04 -8.4277109382222814e+04 -1.4096354707262196e+05 -1.9279961932074913e+05 -2.3956788273488410e+05 -2.8160207918640919e+05 -3.1937313308235491e+05 -3.5332762208764569e+05 -3.8385791226868291e+05 -4.1103444239178707e+05 -4.3245193841404398e+05 -4.4313741135198710e+05 -4.5221235002828890e+05 -4.6899379685880058e+05 -4.8812921621662495e+05 -5.0621957209495170e+05 -5.2291458855474851e+05 -5.3839389307829423e+05 -5.5287665946013643e+05 -5.6657976575729798e+05 -5.7971779786802432e+05 -5.9250631658371130e+05 -6.0516562031247222e+05 -6.1792471979141713e+05 -6.3102572961519402e+05 -6.4472866764445708e+05 -6.5931693388052052e+05 -6.7510340671037580e+05 -6.9380144811997353e+05 -7.1477953626250441e+05 -7.3860524520039978e+05 -7.6593989457465091e+05 -7.9756231342915620e+05 -8.3439987863147212e+05 -8.7756989442536794e+05 -9.2843559118593833e+05 -9.8868416999298509e+05 -1.0604299228682457e+06 -1.1463861371727162e+06 -1.2500338873626527e+06 -1.3759253751257272e+06 -1.5302184487566170e+06 -1.7211783703616716e+06 -1.9601343417085679e+06 -2.2625962385698962e+06 -2.6496753894327129e+06 -3.1493038931560093e+06 -3.7963209194093887e+06 -4.6299692442595521e+06 -5.6871128726480836e+06 -6.9913695627240660e+06 -8.5408018286413588e+06 -1.0299584355079785e+07 -1.2198188476212012e+07 -1.4143127633452944e+07 -1.6033390827528248e+07 -1.7776066423331477e+07 -1.9299884416777216e+07 -2.0561444917933043e+07 -2.1545452825507171e+07 -2.2262797699963383e+07 -2.2745793417689275e+07 -2.3038855060540300e+07 -2.3192752979919873e+07 -2.3254844786321044e+07 -2.3263494071739133e+07 -2.3245040997391522e+07 -2.3223929934643142e+07 -2.3199572489053763e+07 -2.3173398393265277e+07 -2.3145463542249110e+07 -2.3116477090168908e+07 -2.3085937598168746e+07 -2.3053821108573742e+07 -2.3018854753651883e+07 -2.2981428776729278e+07 -2.2940853799189158e+07 -2.2896591240520541e+07 -2.2847986613523059e+07 -2.2794302575558152e+07 -2.2734697300105609e+07 -2.2668221855609894e+07 -2.2593881929296415e+07 -2.2510526676788956e+07 -2.2416945647861045e+07 -2.2311836260403953e+07 -2.2193855120962169e+07 -2.2061654799241234e+07 -2.1913954626267165e+07 -2.1749926580227625e+07 -2.1568148009183466e+07 -2.1368626614265859e+07 -2.1151823914725475e+07 -2.0919440553482536e+07 -2.0674370361302018e+07 -2.0422121832937136e+07 -2.0171084808130816e+07 -1.9933740620657060e+07 -1.9728288634431820e+07 -1.9580599818014096e+07 -1.9527688962414704e+07 -1.9622708162219781e+07 -1.9943633384939570e+07 -2.0608591976853296e+07 -2.1804703700086020e+07 -2.3845479308899503e+07 1.2484930902101973e+06 +6.9592382973393499e-02 -5.8534489333892078e+05 -4.6333526583504665e+05 -2.5402232037622246e+05 1.6877724586976728e+04 2.8023418831936998e+05 4.3245380460655142e+05 4.2711612086826802e+05 3.4087374895159196e+05 2.5203881469116666e+05 1.7630109594776091e+05 1.0412331168288329e+05 3.4148834970462223e+04 -3.1731175958624168e+04 -9.2883491524021854e+04 -1.4951246417282132e+05 -2.0129629478047593e+05 -2.4801795598124625e+05 -2.9001100485187152e+05 -3.2774603655954998e+05 -3.6166933555230661e+05 -3.9217304807736748e+05 -4.1932773869219009e+05 -4.4073078982131195e+05 -4.5141464317406534e+05 -4.6049224869543110e+05 -4.7727159156897990e+05 -4.9640573776440218e+05 -5.1449952294188977e+05 -5.3120362932574877e+05 -5.4669822068769101e+05 -5.6120308857393591e+05 -5.7493587203905650e+05 -5.8811208449933457e+05 -6.0094840490949433e+05 -6.1366646933368559e+05 -6.2649687813134363e+05 -6.3968362724988977e+05 -6.5348895370509126e+05 -6.6819887068234512e+05 -6.8412932884454785e+05 -7.0301111189769837e+05 -7.2420821409485396e+05 -7.4829454118638393e+05 -7.7593899159563007e+05 -8.0792950875820674e+05 -8.4520449924456375e+05 -8.8889472081325902e+05 -9.4037996945627546e+05 -1.0013680817388223e+06 -1.0739993100382516e+06 -1.1610203149384081e+06 -1.2659549454121769e+06 -1.3934111155388406e+06 -1.5496214470922712e+06 -1.7429500911162088e+06 -1.9848584834164816e+06 -2.2910299449937847e+06 -2.6827954273120780e+06 -3.1883438914600154e+06 -3.8427716608848353e+06 -4.6855038900989024e+06 -5.7534054893881790e+06 -7.0698192233891124e+06 -8.6322329648460690e+06 -1.0404034660145056e+07 -1.2314871358610025e+07 -1.4270582261589170e+07 -1.6169760993718361e+07 -1.7919395371583637e+07 -1.9448360397936769e+07 -2.0713543634714253e+07 -2.1699975039830938e+07 -2.2418849335227676e+07 -2.2902734325499583e+07 -2.3196234777120840e+07 -2.3350273259029664e+07 -2.3412318925691046e+07 -2.3420816095268264e+07 -2.3402156929357752e+07 -2.3380881432932697e+07 -2.3356350716010086e+07 -2.3329996674166035e+07 -2.3301872097107004e+07 -2.3272689512648817e+07 -2.3241943626636375e+07 -2.3209609997757576e+07 -2.3174407358399827e+07 -2.3136728477295026e+07 -2.3095879315674111e+07 -2.3051317653313890e+07 -2.3002384580230430e+07 -2.2948337771035377e+07 -2.2888329743444402e+07 -2.2821404985680103e+07 -2.2746562702337138e+07 -2.2662644170211479e+07 -2.2568430759216942e+07 -2.2462611085002195e+07 -2.2343832676015913e+07 -2.2210738996578380e+07 -2.2062040755412165e+07 -2.1896904173975755e+07 -2.1713897214574192e+07 -2.1513027532304507e+07 -2.1294759765340421e+07 -2.1060806049033351e+07 -2.0814079769688495e+07 -2.0560126646442935e+07 -2.0307393243703805e+07 -2.0068445090918720e+07 -1.9861604745665174e+07 -1.9712917911706671e+07 -1.9659649539797362e+07 -1.9755310850975830e+07 -2.0078404750261061e+07 -2.0747856861822180e+07 -2.1952051482587360e+07 -2.4006617615933836e+07 1.2636575514368145e+06 +7.0021297406821517e-02 -5.9349460785753606e+05 -4.7161205380389560e+05 -2.6251709197598620e+05 8.0984349471321702e+03 2.7117486388997262e+05 4.2322843481772608e+05 4.1788985005351930e+05 3.3173265703740448e+05 2.4298652469539311e+05 1.6732444581695745e+05 9.5219205456473632e+04 2.5315511957040089e+04 -4.0497652158210323e+04 -1.0158789316787945e+05 -1.5815949516255604e+05 -2.0989117760965452e+05 -2.5656632996575467e+05 -2.9851832605885057e+05 -3.3621743370432133e+05 -3.7010964614899427e+05 -4.0058689216144790e+05 -4.2771986451087921e+05 -4.4910860279834806e+05 -4.5979098033666069e+05 -4.6887142305714620e+05 -4.8564887050757871e+05 -5.0478198826601700e+05 -5.2287948593642819e+05 -5.3959301055264531e+05 -5.5510327055809589e+05 -5.6963068504486198e+05 -5.8339366546021623e+05 -5.9660866597913404e+05 -6.0949349914796848e+05 -6.2227115665182925e+05 -6.3517384938327956e+05 -6.4844747902323888e+05 -6.6235653015628597e+05 -6.7718966229823348e+05 -6.9326593707654683e+05 -7.1233377870263765e+05 -7.3375263843606063e+05 -7.5810283229342860e+05 -7.8606093121396529e+05 -8.1842410541439871e+05 -8.5614192678671412e+05 -9.0035877155330800e+05 -9.5247120378720330e+05 -1.0142079468120538e+06 -1.0877355279944171e+06 -1.1758343831478490e+06 -1.2820716463510697e+06 -1.4111116001719732e+06 -1.5692625032232644e+06 -1.7649884991400910e+06 -2.0098846535756455e+06 -2.3198093914935729e+06 -2.7163150372129609e+06 -3.2278487860197937e+06 -3.8897642646583584e+06 -4.7416668977084439e+06 -5.8204174426487926e+06 -7.1490760673589977e+06 -8.7245475855796430e+06 -1.0509426419364983e+07 -1.2432532090813102e+07 -1.4399030350419218e+07 -1.6307123393154377e+07 -1.8063703903298113e+07 -1.9597797340164036e+07 -2.0866583199560184e+07 -2.1855419548141859e+07 -2.2575807973296348e+07 -2.3060570746256366e+07 -2.3354501998854462e+07 -2.3508675797864225e+07 -2.3570671963342674e+07 -2.3579014769371096e+07 -2.3560147823494982e+07 -2.3538706833373912e+07 -2.3514001822904602e+07 -2.3487466812820233e+07 -2.3459151447211821e+07 -2.3429771636780944e+07 -2.3398818207886614e+07 -2.3366266229357507e+07 -2.3330825990159754e+07 -2.3292892796934400e+07 -2.3251767924836703e+07 -2.3206905493655540e+07 -2.3157642145993080e+07 -2.3103230545931291e+07 -2.3042817524518922e+07 -2.2975440950558320e+07 -2.2900093513446253e+07 -2.2815608565760046e+07 -2.2720759252049517e+07 -2.2614225336668778e+07 -2.2494645219453637e+07 -2.2360653208649334e+07 -2.2210951343165271e+07 -2.2044700053294994e+07 -2.1860457866651505e+07 -2.1658232390601609e+07 -2.1438491399608266e+07 -2.1202958585492920e+07 -2.0954566998933371e+07 -2.0698899790677898e+07 -2.0444460566055730e+07 -2.0203899516811453e+07 -1.9995663083044272e+07 -1.9845972675238453e+07 -1.9792344797146745e+07 -1.9888651794727083e+07 -2.0213926444366183e+07 -2.0887897092728578e+07 -2.2100219612322014e+07 -2.4168653046934381e+07 1.2790044842769825e+06 +7.0452855342071755e-02 -6.0174393338929024e+05 -4.7998830545342254e+05 -2.7111108877326344e+05 -7.7978814510577843e+02 2.6201689614740384e+05 4.1390457134349807e+05 4.0856506706450641e+05 3.2249294053320691e+05 2.3383549471441392e+05 1.5824895254653005e+05 8.6216155683258330e+04 1.6383145557367507e+04 -4.9363269581467655e+04 -1.1039153175812891e+05 -1.6690585744203022e+05 -2.1858548529986670e+05 -2.6521422238998761e+05 -3.0712526082781272e+05 -3.4478854299980355e+05 -3.7864977298756939e+05 -4.0910066441151319e+05 -4.3621204072332534e+05 -4.5758659944440349e+05 -4.6826764646313130e+05 -4.7735109859976126e+05 -4.9412686140083720e+05 -5.1325919812123111e+05 -5.3136069465698849e+05 -5.4808396958801453e+05 -5.6361028450993332e+05 -5.7816069596717891e+05 -5.9195439933523780e+05 -6.0520880294541502e+05 -6.1814286855192843e+05 -6.3098096164325601e+05 -6.4395692480639345e+05 -6.5731859013814363e+05 -6.7133271854910837e+05 -6.8629064943871240e+05 -7.0251459455548157e+05 -7.2177084008516220e+05 -7.4341423446990002e+05 -7.6803158352848236e+05 -7.9630722559092822e+05 -8.2904767140994826e+05 -8.6721379546194861e+05 -9.1196375937224925e+05 -9.6471110019711242e+05 -1.0272056822909571e+06 -1.1016406263670712e+06 -1.1908305501874757e+06 -1.2983863893766813e+06 -1.4290294584105362e+06 -1.5891445253110814e+06 -1.7872968408039154e+06 -2.0352165080781253e+06 -2.3489387250377391e+06 -2.7502389417779641e+06 -3.2678239464291418e+06 -3.9373047786256443e+06 -4.7984649544380158e+06 -5.8881559312246786e+06 -7.2291475964560844e+06 -8.8177532469570264e+06 -1.0615767009851633e+07 -1.2551177700220207e+07 -1.4528478489834281e+07 -1.6445484166763991e+07 -1.8208997751852170e+07 -1.9748200637314547e+07 -2.1020568741146669e+07 -2.2011791281975079e+07 -2.2733678405593812e+07 -2.3219307376138199e+07 -2.3513661360160407e+07 -2.3667965192644026e+07 -2.3729908472704139e+07 -2.3738094653400168e+07 -2.3719018229470596e+07 -2.3697410679823171e+07 -2.3672530348189559e+07 -2.3645813342341106e+07 -2.3617306120074540e+07 -2.3587727984430052e+07 -2.3556565857847739e+07 -2.3523794312942691e+07 -2.3488115151670787e+07 -2.3449926231099010e+07 -2.3408524114189662e+07 -2.3363359240388539e+07 -2.3313763780153304e+07 -2.3258985359099519e+07 -2.3198165090524536e+07 -2.3130334184417386e+07 -2.3054478782221079e+07 -2.2969424266741287e+07 -2.2873935511362150e+07 -2.2766683379865482e+07 -2.2646297092652582e+07 -2.2511401751008604e+07 -2.2360690676198304e+07 -2.2193318472712908e+07 -2.2007834184369020e+07 -2.1804245369087771e+07 -2.1583022955101926e+07 -2.1345902254943404e+07 -2.1095836093171258e+07 -2.0838445260457426e+07 -2.0582290720966566e+07 -2.0340107797599319e+07 -2.0130467505652446e+07 -1.9979767938842759e+07 -1.9925778554294590e+07 -2.0022734831917167e+07 -2.0350202368475880e+07 -2.1028716700848941e+07 -2.2249212354554337e+07 -2.4331590266360950e+07 1.2945360523457928e+06 +7.0887073071675633e-02 -6.1009410230493767e+05 -4.8846525505281636e+05 -2.7980555293289520e+05 -9.7581771871137771e+03 2.5275904337649760e+05 4.0448098551800166e+05 3.9914053773684893e+05 3.1315336441209645e+05 2.2458449002391350e+05 1.4907338270977681e+05 7.7112929403191418e+04 7.3505030762885654e+03 -5.8329260724529107e+04 -1.1929563967410583e+05 -1.7575278335965384e+05 -2.2738045031683196e+05 -2.7396286592311721e+05 -3.1583304215432028e+05 -3.5346059789985511e+05 -3.8729095015870582e+05 -4.1771559971548984e+05 -4.4480550321343349e+05 -4.6616601688278007e+05 -4.7684588021959364e+05 -4.8593251587624633e+05 -5.0270680707168375e+05 -5.2183861285650980e+05 -5.3994439784993103e+05 -5.5667775899929879e+05 -5.7222051963110943e+05 -5.8679438376934628e+05 -6.0061934238843748e+05 -6.1391377153557551e+05 -6.2689779797715670e+05 -6.3979717940759298e+05 -6.5284741153112077e+05 -6.6629828183910833e+05 -6.8041885667600925e+05 -6.9550318928776088e+05 -7.1187668117978156e+05 -7.3132370468884136e+05 -7.5319444488309172e+05 -7.7808227788685635e+05 -8.0667940545227367e+05 -8.3980179400017962e+05 -8.7842175951924140e+05 -9.2371141799578711e+05 -9.7710148682851752e+05 -1.0403632287180395e+06 -1.1157166798465403e+06 -1.2060110514008685e+06 -1.3149016029176102e+06 -1.4471673515777350e+06 -1.6092704566720349e+06 -1.8098784014473006e+06 -2.0608577462199954e+06 -2.3784221409625327e+06 -2.7845719172560927e+06 -3.3082748007970736e+06 -3.9853993128934102e+06 -4.8559048112979149e+06 -5.9566282160665579e+06 -7.3100413703195136e+06 -8.9118575563565399e+06 -1.0723063852682903e+07 -1.2670815251145231e+07 -1.4658933300768927e+07 -1.6584849482118977e+07 -1.8355282674210556e+07 -1.9899575704900708e+07 -2.1175505408606969e+07 -2.2169095192532748e+07 -2.2892465442734350e+07 -2.3378948930286672e+07 -2.3673717514241509e+07 -2.3828146058414835e+07 -2.3890033045862343e+07 -2.3898060325245850e+07 -2.3878772715486694e+07 -2.3856997534720119e+07 -2.3831940848839846e+07 -2.3805040814355090e+07 -2.3776340661795136e+07 -2.3746563095970631e+07 -2.3715191110854130e+07 -2.3682198776547611e+07 -2.3646279364110555e+07 -2.3607833293597851e+07 -2.3566152389576465e+07 -2.3520683390685100e+07 -2.3470753970320001e+07 -2.3415606687647954e+07 -2.3354376906845119e+07 -2.3286089139536772e+07 -2.3209722946410116e+07 -2.3124095694508255e+07 -2.3027963940110795e+07 -2.2919989596879501e+07 -2.2798792654787544e+07 -2.2662988956828445e+07 -2.2511263058677822e+07 -2.2342763704140224e+07 -2.2156030403963841e+07 -2.1951070664834052e+07 -2.1728358586257529e+07 -2.1489641166219957e+07 -2.1237891113108736e+07 -2.0978767066897761e+07 -2.0720887670212574e+07 -2.0477073848462708e+07 -2.0266021888323743e+07 -2.0114307548339263e+07 -2.0059954646710388e+07 -2.0157563816652566e+07 -2.0487236439761624e+07 -2.1170319733940311e+07 -2.2399033992011793e+07 -2.4495433957724530e+07 1.3102544443135592e+06 +7.1323966988579332e-02 -6.1854636095449014e+05 -4.9704413831192791e+05 -2.8860172221496917e+05 -1.8837979838593761e+04 2.4340005358203303e+05 3.9495642044947774e+05 3.8961500838920585e+05 3.0371267978863540e+05 2.1523226158280738e+05 1.3979648782920075e+05 6.7908278511286859e+04 -1.7836633160944334e+03 -6.7396873212489256e+04 -1.2830146441279535e+05 -1.8470152039983284e+05 -2.3627732027882640e+05 -2.8281350838149874e+05 -3.2464291818743863e+05 -3.6223484701360762e+05 -3.9603442691605119e+05 -4.2643294814003736e+05 -4.5350150305463444e+05 -4.7484810744488105e+05 -4.8552693549783394e+05 -4.9461693068921001e+05 -5.1138996562143788e+05 -5.3052149331344443e+05 -5.4863185961453093e+05 -5.6537564675432339e+05 -5.8093524846518773e+05 -5.9553302639999473e+05 -6.0938977894098510e+05 -6.2272486357450031e+05 -6.3575958807408577e+05 -6.4872112096685637e+05 -6.6184663275354484e+05 -6.7538789160751272e+05 -6.8961629876896075e+05 -7.0482865570553904e+05 -7.2135359379945591e+05 -7.4099379846303537e+05 -7.6309473008236662e+05 -7.8825641657403647e+05 -8.1717902030988620e+05 -8.5068807991464739e+05 -8.8976749349707272e+05 -9.3560350240056671e+05 -9.8964421421997936e+05 -1.0536825503863953e+06 -1.1299657884903413e+06 -1.2213781494194574e+06 -1.3316197449751864e+06 -1.4655279733046801e+06 -1.6296432761891629e+06 -1.8327365058258546e+06 -2.0868121111843339e+06 -2.4082638835175019e+06 -2.8193187940715323e+06 -3.3492068363299542e+06 -4.0340540402954500e+06 -4.9139932834149227e+06 -6.0258416207128242e+06 -7.3917650066457903e+06 -9.0068681726515125e+06 -1.0831324412935352e+07 -1.2791451844866108e+07 -1.4790401435231324e+07 -1.6725225533435732e+07 -1.8502564450861178e+07 -2.0051927979982954e+07 -2.1331398371321104e+07 -2.2327336250667818e+07 -2.3052173914567828e+07 -2.3539500142784651e+07 -2.3834675133137334e+07 -2.3989223028921485e+07 -2.4051050293533921e+07 -2.4058916381513316e+07 -2.4039415868297722e+07 -2.4017471979067568e+07 -2.3992237900394980e+07 -2.3965153799002837e+07 -2.3936259636927251e+07 -2.3906281530236837e+07 -2.3874698519754980e+07 -2.3841484166631941e+07 -2.3805323167032115e+07 -2.3766618516607359e+07 -2.3724657275201015e+07 -2.3678882459995929e+07 -2.3628617222346373e+07 -2.3573099026832160e+07 -2.3511457457042363e+07 -2.3442710286348261e+07 -2.3365830461717051e+07 -2.3279627288357567e+07 -2.3182848959141798e+07 -2.3074148387871791e+07 -2.2952136282684844e+07 -2.2815419176880587e+07 -2.2662672812282771e+07 -2.2493040036916226e+07 -2.2305050778895158e+07 -2.2098712491914455e+07 -2.1874502464440320e+07 -2.1634179444824610e+07 -2.1380736135898516e+07 -2.1119869237486765e+07 -2.0860255391790308e+07 -2.0614801600551903e+07 -2.0402330121699523e+07 -2.0249595365219243e+07 -2.0194876925430544e+07 -2.0293142618750930e+07 -2.0625032591305204e+07 -2.1312710256242551e+07 -2.2549688824750740e+07 -2.4660188823603716e+07 1.3261618741846739e+06 +7.1763553586762660e-02 -6.2710196672378364e+05 -5.0572623080779263e+05 -2.9750085506638692e+05 -2.8020459065522286e+04 2.3393867393281558e+05 3.8532961261331284e+05 3.7998721931469545e+05 2.9416962099583488e+05 2.0577754526118899e+05 1.3041700416945355e+05 5.8600939579911465e+04 -1.1020616764887316e+04 -7.6567369988792096e+04 -1.3741026877883272e+05 -1.9375333137973741e+05 -2.4527735813256915e+05 -2.9176741291137383e+05 -3.3355615241283574e+05 -3.7111255429192120e+05 -4.0488146785804193e+05 -4.3525397511675709e+05 -4.6230130669464782e+05 -4.8363413885413803e+05 -4.9431208160138869e+05 -5.0340561427802144e+05 -5.2017761061704310e+05 -5.3930911583199678e+05 -5.5742435958999372e+05 -5.7417891640759946e+05 -5.8975575919957925e+05 -6.0437791751781525e+05 -6.1826700910164951e+05 -6.3164338676526910e+05 -6.4472955547912151e+05 -6.5775411345341709e+05 -6.7095592793168838e+05 -6.8458877336002432e+05 -6.9892641569929814e+05 -7.1426843943167594e+05 -7.3094674642420758e+05 -7.5078256486709870e+05 -7.7311656840434659e+05 -7.9855551922333904e+05 -8.2780763869512116e+05 -8.6170815559585951e+05 -9.0125269246844132e+05 -9.4764178907359135e+05 -1.0023411555756587e+06 -1.0671656356275140e+06 -1.1443900780201210e+06 -1.2369341344832671e+06 -1.3485433034822983e+06 -1.4841140499209762e+06 -1.6502659987361508e+06 -1.8558745185793752e+06 -2.1130833905513198e+06 -2.4384682463939902e+06 -2.8544844573905142e+06 -3.3906255998790748e+06 -4.0832751969551486e+06 -4.9727372505213646e+06 -6.0958035316079790e+06 -7.4743261814573370e+06 -9.1027928063124996e+06 -1.0940556199774854e+07 -1.2913094619598420e+07 -1.4922889576236945e+07 -1.6866618541476395e+07 -1.8650848885877032e+07 -2.0205262921167240e+07 -2.1488252819078397e+07 -2.2486519446748201e+07 -2.3212808670048308e+07 -2.3700965766642958e+07 -2.3996538907607350e+07 -2.4151200756507970e+07 -2.4212964845065221e+07 -2.4220667437278472e+07 -2.4200952293242376e+07 -2.4178838612312343e+07 -2.4153426096880753e+07 -2.4126156884878505e+07 -2.4097067628464580e+07 -2.4066887864428222e+07 -2.4035092655727301e+07 -2.4001655047989421e+07 -2.3965251118289042e+07 -2.3926286450614151e+07 -2.3884043313470248e+07 -2.3837960981992070e+07 -2.3787358060320944e+07 -2.3731466890110541e+07 -2.3669411242716901e+07 -2.3600202113290761e+07 -2.3522805801900681e+07 -2.3436023505522691e+07 -2.3338595007147700e+07 -2.3229164170690484e+07 -2.3106332370891966e+07 -2.2968696779538181e+07 -2.2814924276125159e+07 -2.2644151777620144e+07 -2.2454899579769574e+07 -2.2247175081462603e+07 -2.2021458777839698e+07 -2.1779521232967213e+07 -2.1524375255240593e+07 -2.1261755815914914e+07 -2.1000397879688751e+07 -2.0753295000847716e+07 -2.0539396112052336e+07 -2.0385635266555704e+07 -2.0330549257109314e+07 -2.0429475123650644e+07 -2.0763594772077382e+07 -2.1455892348361365e+07 -2.2701181170288049e+07 -2.4825859585595772e+07 1.3422605815793376e+06 +7.2205849461861746e-02 -6.3576219004745758e+05 -5.1451278893495107e+05 -3.0650423844994954e+05 -3.7306893324861361e+04 2.2437361578878100e+05 3.7559928480035480e+05 3.7025588631947711e+05 2.8452290846365952e+05 1.9621906214070698e+05 1.2093365234252639e+05 4.9189633709206624e+04 -2.0361635909763620e+04 -8.5842029500614444e+04 -1.4662333107743633e+05 -2.0290949464129432e+05 -2.5438184232522862e+05 -3.0082585817329871e+05 -3.4257402383494482e+05 -3.8009499921641120e+05 -4.1383335311940499e+05 -4.4417996162699047e+05 -4.7120619614363892e+05 -4.9252539441257395e+05 -5.0320260343138978e+05 -5.1229985350658733e+05 -5.2907103127857484e+05 -5.4820277243992372e+05 -5.6632319314399327e+05 -5.8308886729042232e+05 -5.9868335585483140e+05 -6.1333036668063910e+05 -6.2725234895771428e+05 -6.4067066488243896e+05 -6.5380903300846822e+05 -6.6689750030845427e+05 -6.8017665298150340e+05 -6.9390229765041254e+05 -7.0835059517999727e+05 -7.2382394828963582e+05 -7.4065757043061778e+05 -7.6069146508864034e+05 -7.8326145633769082e+05 -8.0898112412150984e+05 -8.3856684838514507e+05 -8.7286366743693920e+05 -9.1287907229025522e+05 -9.5982807627145329e+05 -1.0151942070376896e+06 -1.0808144970986506e+06 -1.1589917001364811e+06 -1.2526813247771447e+06 -1.3656747966601625e+06 -1.5029283408366742e+06 -1.6711416755951580e+06 -1.8792958446825841e+06 -2.1396754167927364e+06 -2.4690395732723298e+06 -2.8900738476759684e+06 -3.4325366985244523e+06 -4.1330690828043041e+06 -5.0321436574053541e+06 -6.1665213985051494e+06 -7.5577326293733520e+06 -9.1996392195810247e+06 -1.1050766766517054e+07 -1.3035750750560336e+07 -1.5056404437816944e+07 -1.7009034753595069e+07 -1.8800141806693964e+07 -2.0359586008516964e+07 -2.1646073961845536e+07 -2.2646649790758364e+07 -2.3374374577287827e+07 -2.3863350573726334e+07 -2.4159313547141433e+07 -2.4314083912174590e+07 -2.4375781348328415e+07 -2.4383318126183379e+07 -2.4363386614075828e+07 -2.4341102052390181e+07 -2.4315510050729807e+07 -2.4288054678980045e+07 -2.4258769237781025e+07 -2.4228386694193069e+07 -2.4196378108319532e+07 -2.4162716003771085e+07 -2.4126067794125870e+07 -2.4086841664373130e+07 -2.4044315065096296e+07 -2.3997923508570332e+07 -2.3946981026453886e+07 -2.3890714808992408e+07 -2.3828242783622786e+07 -2.3758569126811069e+07 -2.3680653458613556e+07 -2.3593288821119536e+07 -2.3495206540666163e+07 -2.3385041381002154e+07 -2.3261385331574317e+07 -2.3122826150699228e+07 -2.2968021806760471e+07 -2.2796103250177804e+07 -2.2605581094387218e+07 -2.2396462681572065e+07 -2.2169231731463224e+07 -2.1925670689418457e+07 -2.1668812581201531e+07 -2.1404430862128004e+07 -2.1141319143993724e+07 -2.0892558012189101e+07 -2.0677223781417746e+07 -2.0522431144996148e+07 -2.0466975523842219e+07 -2.0566565232351035e+07 -2.0902926946890373e+07 -2.1599870107331205e+07 -2.2853515363399163e+07 -2.4992450984153029e+07 1.3585528320182185e+06 +7.2650871311795581e-02 -6.4452832678998157e+05 -5.2340512516464217e+05 -3.1561315618144529e+05 -4.6698576162604455e+04 2.1470358465340978e+05 3.6576413620679354e+05 3.6041971243448218e+05 2.7477124727383873e+05 1.8655551683295961e+05 1.1134513745011044e+05 3.9673066308791960e+04 -2.9808015073854811e+04 -9.5222145872222711e+04 -1.5594194531453060e+05 -2.1217130423648909e+05 -2.6359206698283961e+05 -3.0999013852838281e+05 -3.5169782716494834e+05 -3.8918347699074808e+05 -4.2289137855943921e+05 -4.5321220438994246e+05 -4.8021746916183340e+05 -5.0152317318999901e+05 -5.1219980167786189e+05 -5.2130095105422748e+05 -5.3807153267109359e+05 -5.5720377104534686e+05 -5.7532967156462779e+05 -5.9210681470380817e+05 -6.0771935847729107e+05 -6.2239169954116922e+05 -6.3634713077014312e+05 -6.4980803796895745e+05 -6.6299936985739286e+05 -6.7615264148103993e+05 -6.8951018047864141e+05 -7.0332985186764202e+05 -7.1789024197123118e+05 -7.3349660739383043e+05 -7.5048751477484126e+05 -7.7072197825578810e+05 -7.9353090874299442e+05 -8.1953478843384737e+05 -8.4945825663812901e+05 -8.8415628202420543e+05 -9.2464836985528120e+05 -9.7216418428434338e+05 -1.0282052879650500e+06 -1.0946311720808039e+06 -1.1737728328322230e+06 -1.2686220667655640e+06 -1.3830167733790083e+06 -1.5219736389404596e+06 -1.6922733948920921e+06 -1.9030039299148039e+06 -2.1665920677787755e+06 -2.4999822583535858e+06 -2.9260919612616948e+06 -3.4749458001414645e+06 -4.1834420621313374e+06 -5.0922195143901836e+06 -6.2380027348269047e+06 -7.6419921438255273e+06 -9.2974152266199104e+06 -1.1161963710690159e+07 -1.3159427449887969e+07 -1.5190952764974346e+07 -1.7152480443607207e+07 -1.8950449064277988e+07 -2.0514902743523940e+07 -2.1804867029865116e+07 -2.2807732312117044e+07 -2.3536876523469497e+07 -2.4026659354661405e+07 -2.4323003779914342e+07 -2.4477877185524140e+07 -2.4539504469739094e+07 -2.4546873100300796e+07 -2.4526723473054640e+07 -2.4504266935707808e+07 -2.4478494392789058e+07 -2.4450851806718819e+07 -2.4421369084648825e+07 -2.4390782633445796e+07 -2.4358559485398259e+07 -2.4324671635359745e+07 -2.4287777788950361e+07 -2.4248288744818442e+07 -2.4205477108935114e+07 -2.4158774609775003e+07 -2.4107490681099955e+07 -2.4050847333138149e+07 -2.3987956617486726e+07 -2.3917815851402190e+07 -2.3839377941519603e+07 -2.3751427728134532e+07 -2.3652688034002293e+07 -2.3541784472116724e+07 -2.3417299594526168e+07 -2.3277811693739183e+07 -2.3121969778107099e+07 -2.2948898795734923e+07 -2.2757099627579208e+07 -2.2546579557329580e+07 -2.2317825547089923e+07 -2.2072631989628017e+07 -2.1814052240287557e+07 -2.1547898452270191e+07 -2.1283023210732732e+07 -2.1032594613244031e+07 -2.0815817067420844e+07 -2.0659986908727668e+07 -2.0604159623266123e+07 -2.0704416861477695e+07 -2.1043033096417293e+07 -2.1744647646499515e+07 -2.3006695756209929e+07 -2.5159967778734982e+07 1.3750409172100401e+06 +7.3098635937396406e-02 -6.5340168205121066e+05 -5.3240452950014779e+05 -3.2482892300176533e+05 -5.6196818317757723e+04 2.0492727070636215e+05 3.5582285614568950e+05 3.5047738591795642e+05 2.6491332603280537e+05 1.7678559768074084e+05 1.0165014879348651e+05 3.0049926879885163e+04 -3.9361064459069807e+04 -1.0470902908547397e+05 -1.6536742140038728e+05 -2.2154007010323604e+05 -2.7290934209971898e+05 -3.1926156422655034e+05 -3.6092887301232747e+05 -3.9837929873312725e+05 -4.3205685595829791e+05 -4.6235201605382503e+05 -4.8933643945363653e+05 -5.1062879021513707e+05 -5.2130499301070010e+05 -5.3041022560658050e+05 -5.4718043589603412e+05 -5.6631343562738877e+05 -5.8444512225488946e+05 -6.0123409011253121e+05 -6.1686510333583748e+05 -6.3156325804229639e+05 -6.4555270317099977e+05 -6.5905686253234698e+05 -6.7230193179649615e+05 -6.8552091362754535e+05 -6.9895789985954913e+05 -7.1287284044433781e+05 -7.2754677808641340e+05 -7.4328785936121095e+05 -7.6043804620478500e+05 -7.8087560165735474e+05 -8.0392645907541178e+05 -8.3021808843801415e+05 -8.6048349043278093e+05 -8.9558768638334365e+05 -9.3656234334783757e+05 -9.8465195570415119e+05 -1.0413763412166458e+06 -1.1086177227719189e+06 -1.1887356807047024e+06 -1.2847587355303548e+06 -1.4005718135257503e+06 -1.5412527709918928e+06 -1.7136642820167216e+06 -1.9270022613374537e+06 -2.1938372672995580e+06 -2.5313007469244134e+06 -2.9625438509348226e+06 -3.5178586339801145e+06 -4.2344005641372493e+06 -5.1529718978234893e+06 -6.3102551180442888e+06 -7.7271125773552060e+06 -9.3961286936381049e+06 -1.1274154674090300e+07 -1.3284131966761706e+07 -1.5326541333705667e+07 -1.7296961911807954e+07 -1.9101776532879218e+07 -2.0671218649100460e+07 -2.1964637273464378e+07 -2.2969772059687488e+07 -2.3700319414752796e+07 -2.4190896918991987e+07 -2.4487614352661014e+07 -2.4642585284669206e+07 -2.4704138894180376e+07 -2.4711337030206311e+07 -2.4690967530783232e+07 -2.4668337916997451e+07 -2.4642383772247009e+07 -2.4614552911817376e+07 -2.4584871807107121e+07 -2.4554080314454440e+07 -2.4521641413069468e+07 -2.4487526562469475e+07 -2.4450385715402462e+07 -2.4410632297134366e+07 -2.4367534042022351e+07 -2.4320518873760458e+07 -2.4268891602644444e+07 -2.4211869030202631e+07 -2.4148557300038211e+07 -2.4077946829411522e+07 -2.3998983778063700e+07 -2.3910444737367768e+07 -2.3811043979176976e+07 -2.3699397915007599e+07 -2.3574079607062086e+07 -2.3433657829516262e+07 -2.3276772581441533e+07 -2.3102542772664711e+07 -2.2909459501305580e+07 -2.2697529990665447e+07 -2.2467244463250931e+07 -2.2220409325514406e+07 -2.1960098375348650e+07 -2.1692162678666160e+07 -2.1425514121927969e+07 -2.1173408798412208e+07 -2.0955179923326649e+07 -2.0798306481358770e+07 -2.0742105468468893e+07 -2.0843033943105251e+07 -2.1183917217040312e+07 -2.1890229095541120e+07 -2.3160726718069870e+07 -2.5328414747647256e+07 1.3917271553421426e+06 +7.3549160243043990e-02 -6.6238357963540161e+05 -5.4151232595080882e+05 -3.3415285491890309e+05 -6.5802944894071523e+04 1.9504334638141046e+05 3.4577411664718657e+05 3.4042757878905733e+05 2.5494781506458254e+05 1.6690797713581790e+05 9.1847359451657408e+04 2.0318888834231708e+04 -4.9022110339437771e+04 -1.1430400518754890e+05 -1.7490108534640537e+05 -2.3101711824399498e+05 -2.8233499373869394e+05 -3.2864146159859549e+05 -3.7026848807836528e+05 -4.0768379166887252e+05 -4.4133111321162857e+05 -4.7160072538845806e+05 -4.9856443685996439e+05 -5.1984357666996773e+05 -5.3051951027509093e+05 -5.3962901205289736e+05 -5.5639907828713977e+05 -5.7553310643270868e+05 -5.9367088892582571e+05 -6.1047204133956472e+05 -6.2612194311665371e+05 -6.4084640061440750e+05 -6.5487043136057328e+05 -6.6841851174555696e+05 -6.8171810137613013e+05 -6.9500371031566628e+05 -7.0852121762957016e+05 -7.2253268506170716e+05 -7.3732164300340996e+05 -7.5319916452477628e+05 -7.7051064947728440e+05 -7.9115385096281185e+05 -8.1444965960872115e+05 -8.4103261974944489e+05 -8.7164419670127518e+05 -9.0715958822389389e+05 -9.4862277249937889e+05 -9.9729325569187419e+05 -1.0547093334302972e+06 -1.1227762365876010e+06 -1.2038824752824404e+06 -1.3010937351150070e+06 -1.4183425283721772e+06 -1.5607685980292358e+06 -1.7353175000774360e+06 -1.9512943677654520e+06 -2.2214149855731963e+06 -2.5629995359074087e+06 -2.9994346265105992e+06 -3.5612809912540875e+06 -4.2859510834618304e+06 -5.2144079505241038e+06 -6.3832861900316970e+06 -7.8131018418535460e+06 -9.4957875390631631e+06 -1.1387347342874173e+07 -1.3409871587291585e+07 -1.5463176950870177e+07 -1.7442485484904397e+07 -1.9254130110119544e+07 -2.0828539269430600e+07 -2.2125389963186253e+07 -2.3132774101779830e+07 -2.3864708176305175e+07 -2.4356068094841562e+07 -2.4653150030798219e+07 -2.4808212936180998e+07 -2.4869689324950591e+07 -2.4876714604796398e+07 -2.4856123466274843e+07 -2.4833319669305973e+07 -2.4807182856646940e+07 -2.4779162656261496e+07 -2.4749282061496675e+07 -2.4718284387657207e+07 -2.4685628535691958e+07 -2.4651285422889255e+07 -2.4613896204314973e+07 -2.4573876944608174e+07 -2.4530490479492165e+07 -2.4483160906728655e+07 -2.4431188387594596e+07 -2.4373784485874481e+07 -2.4310049404968396e+07 -2.4238966621134482e+07 -2.4159475513593331e+07 -2.4070344377335869e+07 -2.3970278885925800e+07 -2.3857886198286247e+07 -2.3731729834066175e+07 -2.3590368996293698e+07 -2.3432434625295855e+07 -2.3257039556482520e+07 -2.3062665054549340e+07 -2.2849318280432925e+07 -2.2617492735141173e+07 -2.2369006905552406e+07 -2.2106955145551585e+07 -2.1837227649718292e+07 -2.1568795935496140e+07 -2.1315004577878319e+07 -2.1095316317959324e+07 -2.0937393802065939e+07 -2.0880816987911202e+07 -2.0982420424862407e+07 -2.1325583320958383e+07 -2.2036618600381881e+07 -2.3315612635529295e+07 -2.5497796687978826e+07 1.4086138913740295e+06 +7.4002461237303849e-02 -6.7147535393524356e+05 -5.5072986473501020e+05 -3.4358630248024518e+05 -7.5518299128689076e+04 1.8505046424015076e+05 3.3561657031708228e+05 3.3026894578633003e+05 2.4487337051211123e+05 1.5692131188362054e+05 8.1935426241757770e+04 1.0478609343885488e+04 -5.8792495257032140e+04 -1.2400841651575509e+05 -1.8454427944742062e+05 -2.4060379091773211e+05 -2.9187036424260755e+05 -3.3813117324984778e+05 -3.7971801535453019e+05 -4.1709829932474194e+05 -4.5071549452702783e+05 -4.8095967748196056e+05 -5.0790280755514576e+05 -5.2916888008433313e+05 -5.3984470268830564e+05 -5.4895866168175812e+05 -5.6572881360690901e+05 -5.8486414017374173e+05 -6.0300833179982228e+05 -6.1982203276835405e+05 -6.3549124712641002e+05 -6.5024250237567630e+05 -6.6430169731087342e+05 -6.7789437564971729e+05 -6.9124927812836750e+05 -7.0460244222908688e+05 -7.1820155756538862e+05 -7.3231082486223755e+05 -7.4721629387693724e+05 -7.6323200114603119e+05 -7.8070682757751679e+05 -8.0155826044417417e+05 -8.2510208166786411e+05 -8.5197999756046350e+05 -8.8294204257736122e+05 -9.1887371619487810e+05 -9.6083145885265351e+05 -1.0100899722541672e+06 -1.0682062553158586e+06 -1.1371088264692118e+06 -1.2192154753418942e+06 -1.3176294988736245e+06 -1.4363315609532732e+06 -1.5805240157722926e+06 -1.7572362503263971e+06 -1.9758838202538509e+06 -2.2493292397778779e+06 -2.5950831744205598e+06 -3.0367694554264857e+06 -3.6052187257142607e+06 -4.3381001807565680e+06 -5.2765348822867554e+06 -6.4571036574489493e+06 -7.8999679087976180e+06 -9.5963997336658407e+06 -1.1501549447567124e+07 -1.3536653634604953e+07 -1.5600866454290714e+07 -1.7589057515977878e+07 -1.9407515716878999e+07 -2.0986870170048065e+07 -2.2287130389604699e+07 -2.3296743525983293e+07 -2.4030047752232417e+07 -2.4522177729053319e+07 -2.4819615598167010e+07 -2.4974764885118403e+07 -2.5036160483753290e+07 -2.5043010531311747e+07 -2.5022195976794515e+07 -2.4999216884016391e+07 -2.4972896331746656e+07 -2.4944685720350955e+07 -2.4914604522338875e+07 -2.4883399521749508e+07 -2.4850525515760649e+07 -2.4815952872635793e+07 -2.4778313904611018e+07 -2.4738027328598157e+07 -2.4694351054505054e+07 -2.4646705332959108e+07 -2.4594385650344387e+07 -2.4536598303705696e+07 -2.4472437523846094e+07 -2.4400879804664891e+07 -2.4320857711208560e+07 -2.4231131194337796e+07 -2.4130397281642891e+07 -2.4017253828051060e+07 -2.3890254757830802e+07 -2.3747949649705999e+07 -2.3588960335497729e+07 -2.3412393539864346e+07 -2.3216720643240321e+07 -2.3001948742235746e+07 -2.2768574634644497e+07 -2.2518428954671688e+07 -2.2254626726302825e+07 -2.1983097489912070e+07 -2.1712872725233778e+07 -2.1457385977457255e+07 -2.1236230235671632e+07 -2.1077252825342335e+07 -2.1020298125437792e+07 -2.1122580269792605e+07 -2.1468035436021086e+07 -2.2183820323170409e+07 -2.3471357912314668e+07 -2.5668118415626425e+07 1.4257034973339292e+06 +7.4458556033569295e-02 -6.8067836388639151e+05 -5.6005849562729581e+05 -3.5313061458041990e+05 -8.5344239532162319e+04 1.7494726902914446e+05 3.2534885931750736e+05 3.2000012644555699e+05 2.3468863262831990e+05 1.4682424193534369e+05 7.1912989477562529e+04 5.2772914419550557e+02 -6.8673578229466191e+04 -1.3382362191045578e+05 -1.9429836245899877e+05 -2.5030144684034004e+05 -3.0151681244340539e+05 -3.4773205826003762e+05 -3.8927881431876053e+05 -4.2662418172368454e+05 -4.6021136062407255e+05 -4.9043023393937637e+05 -5.1735291424794571e+05 -5.3860606453781296e+05 -5.4928193603787199e+05 -5.5840054238166858e+05 -5.7517101224884461e+05 -5.9430791022912716e+05 -6.1245882780656719e+05 -6.2928544554145436e+05 -6.4497440148987900e+05 -6.5975295533668378e+05 -6.7384789996901259e+05 -6.8748586135980138e+05 -7.0089687877373898e+05 -7.1431853737707518e+05 -7.2800036093199428e+05 -7.4220871665869700e+05 -7.5723220575160463e+05 -7.7338786563515093e+05 -7.9102810193791194e+05 -8.1209038320536749e+05 -8.3588531585828855e+05 -8.6306185687888740e+05 -8.9437871563848027e+05 -9.3073182013361494e+05 -9.7319022602448636e+05 -1.0230440165148120e+06 -1.0818691219395623e+06 -1.1516176311883524e+06 -1.2347369672402500e+06 -1.3343684898164037e+06 -1.4545415864403876e+06 -1.6005219550263919e+06 -1.7794237726169825e+06 -2.0007742325811167e+06 -2.2775840945776263e+06 -2.6275562643485731e+06 -3.0745535633201059e+06 -3.6496777542456724e+06 -4.3908544832275733e+06 -5.3393599703284809e+06 -6.5317152920934185e+06 -7.9877188095079316e+06 -9.6979733006899692e+06 -1.1616768763141332e+07 -1.3664485468769679e+07 -1.5739616712586531e+07 -1.7736684384416327e+07 -1.9561939297244027e+07 -2.1146216937659126e+07 -2.2449863863239724e+07 -2.3461685439219065e+07 -2.4196343105458077e+07 -2.4689230687154815e+07 -2.4987015857143614e+07 -2.5142245894898403e+07 -2.5203557110608116e+07 -2.5210229535316717e+07 -2.5189189777883057e+07 -2.5166034270705208e+07 -2.5139528901518591e+07 -2.5111126802494664e+07 -2.5080843882353660e+07 -2.5049430403541222e+07 -2.5016337033917002e+07 -2.4981533585799471e+07 -2.4943643483298410e+07 -2.4903088108541157e+07 -2.4859120418282591e+07 -2.4811156794664010e+07 -2.4758488023287278e+07 -2.4700315105169021e+07 -2.4635726266086336e+07 -2.4563690975921556e+07 -2.4483134951740533e+07 -2.4392809752298586e+07 -2.4291403711266927e+07 -2.4177505327979535e+07 -2.4049658878090158e+07 -2.3906404262651220e+07 -2.3746354155032247e+07 -2.3568609132483747e+07 -2.3371630640208077e+07 -2.3155425708512183e+07 -2.2920494450177372e+07 -2.2668679714232340e+07 -2.2403117309284277e+07 -2.2129776339780141e+07 -2.1857748580790654e+07 -2.1600557038634617e+07 -2.1377925676299203e+07 -2.1217887521084759e+07 -2.1160552840255305e+07 -2.1263517456329003e+07 -2.1611277605702911e+07 -2.2331838442234755e+07 -2.3627966969273381e+07 -2.5839384765166886e+07 1.4429983726184161e+06 +7.4917461850707592e-02 -6.8999397661299875e+05 -5.6949959080238361e+05 -3.6278716636358260e+05 -9.5282139639225250e+04 1.6473238046644931e+05 3.1496960275171528e+05 3.0961974456867407e+05 2.2439222330316951e+05 1.3661539040617656e+05 6.1778672810819022e+04 -9.5351276999466936e+03 -7.8666734935184402e+04 -1.4375099690727692e+05 -2.0416470977614413e+05 -2.6011146139418986e+05 -3.1127571386738343e+05 -3.5744549238608801e+05 -3.9895226113759063e+05 -4.3626281558402034e+05 -4.6982008893055236e+05 -5.0001377308485768e+05 -5.2691613638086477e+05 -5.4815651085812575e+05 -5.5883259288599016e+05 -5.6795603884170332e+05 -5.8472706143700262e+05 -6.0386580684548593e+05 -6.2202377078908717e+05 -6.3886367776615836e+05 -6.5457280935761705e+05 -6.6937916860419232e+05 -6.8351045546212618e+05 -6.9719439327041060e+05 -7.1066233743152348e+05 -7.2415344130499137e+05 -7.3791908668809012e+05 -7.5222783515130950e+05 -7.6737087178175093e+05 -7.8366827277227072e+05 -8.0147601266630308e+05 -8.2275179140594660e+05 -8.4680097229792445e+05 -8.7427985276355536e+05 -9.0595592415617534e+05 -9.4273567132662935e+05 -9.8570091997179447e+05 -1.0361573230001834e+06 -1.0956999730234025e+06 -1.1663048156570364e+06 -1.2504492652458253e+06 -1.3513132009724753e+06 -1.4729753125300389e+06 -1.6207653821150078e+06 -1.8018833458567187e+06 -2.0259692617460154e+06 -2.3061836626518616e+06 -2.6604234609026755e+06 -3.1127922346364032e+06 -3.6946640574659994e+06 -4.4442206851851828e+06 -5.4028905597912977e+06 -6.6071289312926084e+06 -8.0763626354012294e+06 -9.8005163159971610e+06 -1.1733013109062716e+07 -1.3793374486851037e+07 -1.5879434625203205e+07 -1.7885372495862491e+07 -1.9717406818457704e+07 -2.1306585180141486e+07 -2.2613595714644004e+07 -2.3627604967625365e+07 -2.4363599217778116e+07 -2.4857231853158109e+07 -2.5155355628531724e+07 -2.5310660747289326e+07 -2.5371883963762291e+07 -2.5378376360575765e+07 -2.5357109603275429e+07 -2.5333776557138067e+07 -2.5307085288133379e+07 -2.5278490619300220e+07 -2.5248004852388967e+07 -2.5216381737934314e+07 -2.5183067788864493e+07 -2.5148032254512332e+07 -2.5109889625373088e+07 -2.5069063961836614e+07 -2.5024803239963681e+07 -2.4976519951993950e+07 -2.4923500156649321e+07 -2.4864939529653173e+07 -2.4799920258887958e+07 -2.4727404748539530e+07 -2.4646311833698455e+07 -2.4555384632786717e+07 -2.4453302737299886e+07 -2.4338645239210047e+07 -2.4209946711981535e+07 -2.4065737325365841e+07 -2.3904620544086259e+07 -2.3725690761126284e+07 -2.3527399435210343e+07 -2.3309753528402470e+07 -2.3073256486792970e+07 -2.2819763441921394e+07 -2.2552431102341052e+07 -2.2277268355833501e+07 -2.2003427607609272e+07 -2.1744521818524573e+07 -2.1520406655105505e+07 -2.1359301874516990e+07 -2.1301585106818508e+07 -2.1405235978295621e+07 -2.1755313889175303e+07 -2.2480677152009569e+07 -2.3785444244276516e+07 -2.6011600589869123e+07 1.4605009442950720e+06 +7.5379196013709973e-02 -6.9942358440163289e+05 -5.7905453493654460e+05 -3.7255735297005507e+05 -1.0533339408935368e+05 1.5440440598149927e+05 3.0447741042932728e+05 2.9912640335984912e+05 2.1398274868544296e+05 1.2629336417230514e+05 5.1531083085420971e+04 -1.9711354008558916e+04 -8.8773357889593390e+04 -1.5379193391661334e+05 -2.1414471362115597e+05 -2.7003522683847527e+05 -3.2114846093465906e+05 -3.6727286827272672e+05 -4.0873974886575533e+05 -4.4601559451797314e+05 -4.7954307378583564e+05 -5.0971169016302843e+05 -5.3659387033320882e+05 -5.5782161682820553e+05 -5.6849807277122245e+05 -5.7762655275633698e+05 -5.9439836543169525e+05 -6.1353923734342773e+05 -6.3170457170789153e+05 -6.4855814471950335e+05 -6.6428789111260849e+05 -6.7912256859032833e+05 -6.9329079731003952e+05 -7.0702141326857859e+05 -7.2054710583043518e+05 -7.3410861730512336e+05 -7.4795921170568140e+05 -7.6236967314257834e+05 -7.7763380345057056e+05 -7.9407475592817517e+05 -8.1205211876975850e+05 -8.3354407649788412e+05 -8.5785068085774640e+05 -8.8563566057180101e+05 -9.1767539734178816e+05 -9.5488706276668678e+05 -9.9836540926439082e+05 -1.0494318499178609e+06 -1.1097008732416870e+06 -1.1811725712484333e+06 -1.2663547118715874e+06 -1.3684661557464616e+06 -1.4916354798277200e+06 -1.6412572992814283e+06 -1.8246182884581764e+06 -2.0514726084617265e+06 -2.3351321052454826e+06 -2.6936894732170021e+06 -3.1514908132200288e+06 -3.7401836803132943e+06 -4.4982055486109471e+06 -5.4671340641862331e+06 -6.6833524782390818e+06 -8.1659075382112172e+06 -9.9040369082140997e+06 -1.1850290349322854e+07 -1.3923328122860145e+07 -1.6020327122382911e+07 -1.8035128282184582e+07 -1.9873924270836692e+07 -2.1467980526487295e+07 -2.2778331294207729e+07 -2.3794507256520808e+07 -2.4531821089705009e+07 -2.5026186129674781e+07 -2.5324639751477759e+07 -2.5480014242289089e+07 -2.5541145819790497e+07 -2.5547455769077986e+07 -2.5525960204875410e+07 -2.5502448489209730e+07 -2.5475570231822878e+07 -2.5446781905414540e+07 -2.5416092161294285e+07 -2.5384258247861013e+07 -2.5350722497316565e+07 -2.5315453588876303e+07 -2.5277057033862375e+07 -2.5235959583786186e+07 -2.5191404206586137e+07 -2.5142799482933886e+07 -2.5089426718512163e+07 -2.5030476234233301e+07 -2.4965024147213362e+07 -2.4892025753863584e+07 -2.4810392973247319e+07 -2.4718860434927348e+07 -2.4616098939774107e+07 -2.4500678120247077e+07 -2.4371122793917149e+07 -2.4225953345265653e+07 -2.4063763979889754e+07 -2.3883642869477298e+07 -2.3684031434878156e+07 -2.3464936567714565e+07 -2.3226865065993559e+07 -2.2971684411824659e+07 -2.2702572329438053e+07 -2.2425577710469369e+07 -2.2149913926815309e+07 -2.1889284389755171e+07 -2.1663677202772193e+07 -2.1501499886136696e+07 -2.1443398914808109e+07 -2.1547739844800532e+07 -2.1900148361093137e+07 -2.2630340663043283e+07 -2.3943794192279194e+07 -2.6184770761610173e+07 1.4782136674082782e+06 +7.5843775954345730e-02 -7.0896858972695307e+05 -5.8872473565980990e+05 -3.8244257747728855e+05 -1.1549941117081883e+05 1.4396193407726131e+05 2.9387086565993942e+05 2.8851869043662783e+05 2.0345879819422035e+05 1.1585675235610045e+05 4.1168810154471168e+04 -3.0002359677091546e+04 -9.8994856681087491e+04 -1.6394784239422000e+05 -2.2423978325752768e+05 -2.8007415251892223e+05 -3.3113646316097956e+05 -3.7721559566381254e+05 -4.1864268765492988e+05 -4.5588392923791154e+05 -4.8938172664375318e+05 -5.1952539754940814e+05 -5.4638752962901932e+05 -5.6760279739128950e+05 -5.7827979241605720e+05 -5.8741350303196476e+05 -6.0418634573743376e+05 -6.2332962632356596e+05 -6.4150265885036602e+05 -6.5837027905688121e+05 -6.7412108457893343e+05 -6.8898459922108636e+05 -7.0319037663075537e+05 -7.1696838094370172e+05 -7.3055265352183487e+05 -7.4418554663556383e+05 -7.5812223098797863e+05 -7.7263574176099326e+05 -7.8802253079069930e+05 -8.0460886729122512e+05 -8.2275799838496884e+05 -8.4446884945690748e+05 -8.6903609139916277e+05 -8.9713097620622616e+05 -9.2953888560719055e+05 -9.6718780941829458e+05 -1.0111855853571371e+06 -1.0628695794445372e+06 -1.1238739125215283e+06 -1.1962231161077381e+06 -1.2824556782180690e+06 -1.3858299082808925e+06 -1.5105248622431443e+06 -1.6620007451252786e+06 -1.8476319588061115e+06 -2.0772880176612379e+06 -2.3644336327017555e+06 -2.7273590649140580e+06 -3.1906547029240439e+06 -3.7862427326473640e+06 -4.5528159037084533e+06 -5.5320979659232385e+06 -6.7603939023777470e+06 -8.2563617302577151e+06 -1.0008543258829767e+07 -1.1968608392500574e+07 -1.4054353847724549e+07 -1.6162301165075727e+07 -1.8185958201403588e+07 -2.0031497667755298e+07 -2.1630408626723565e+07 -2.2944075972178884e+07 -2.3962397470328052e+07 -2.4701013740502618e+07 -2.5196098437706813e+07 -2.5494873083476424e+07 -2.5650311198218703e+07 -2.5711347473356958e+07 -2.5717472540864389e+07 -2.5695746352634642e+07 -2.5672054830890037e+07 -2.5644988490890972e+07 -2.5616005413536713e+07 -2.5585110555986878e+07 -2.5553064674281005e+07 -2.5519305893969972e+07 -2.5483802316974424e+07 -2.5445150429594696e+07 -2.5403779687663212e+07 -2.5358928023069598e+07 -2.5310000083323345e+07 -2.5256272394753914e+07 -2.5196929893764436e+07 -2.5131042593682248e+07 -2.5057558640864786e+07 -2.4975383004104167e+07 -2.4883241775324538e+07 -2.4779796916142359e+07 -2.4663608547011666e+07 -2.4533191675603218e+07 -2.4387056846932106e+07 -2.4223788956772931e+07 -2.4042469918172631e+07 -2.3841531062493283e+07 -2.3620979208887037e+07 -2.3381324525790010e+07 -2.3124446914231148e+07 -2.2853545230642620e+07 -2.2574708592084382e+07 -2.2297211675306208e+07 -2.2034848840478159e+07 -2.1807741365332246e+07 -2.1644485571694318e+07 -2.1585998269129615e+07 -2.1691033080217723e+07 -2.2045785111659534e+07 -2.2780833201930281e+07 -2.4103021285139952e+07 -2.6358900170786720e+07 1.4961390252881004e+06 +7.6311219211820283e-02 -7.1863042618102510e+05 -5.9851162552593614e+05 -3.9244426581356319e+05 -1.2578161749371020e+05 1.3340353647569020e+05 2.8314854289541539e+05 2.7779518011940218e+05 1.9281894318508479e+05 1.0530412677142514e+05 3.0690426551735349e+04 -4.0409571866496372e+04 -1.0933265822554064e+05 -1.7422014902633146e+05 -2.3445134524203060e+05 -2.9022966507693904e+05 -3.4124114736323239e+05 -3.8727510161327291e+05 -4.2866250495995919e+05 -4.6586924776381487e+05 -4.9933747627895302e+05 -5.2945632495545363e+05 -5.5629854514353827e+05 -5.7750148486186494e+05 -5.8817918593614723e+05 -5.9731832599557075e+05 -6.1409244131166453e+05 -6.3323841587956925e+05 -6.5141947804062103e+05 -6.6830153102492355e+05 -6.8407384523391561e+05 -6.9896672215068177e+05 -7.1321066236019519e+05 -7.2703677380388603e+05 -7.4068046809791180e+05 -7.5438572873591038e+05 -7.6840965788612165e+05 -7.8302757067980210e+05 -7.9853860261428030e+05 -8.1527217809742899e+05 -8.3359524901104951e+05 -8.5552774101912475e+05 -8.8035887401808368e+05 -9.0876751636031212e+05 -9.4154816081590729e+05 -9.7963974848119926e+05 -1.0241633628686620e+06 -1.0764725180172110e+06 -1.1382212063457149e+06 -1.2114586954826522e+06 -1.2987545643140399e+06 -1.4034070438221374e+06 -1.5296462673834278e+06 -1.6829987950284716e+06 -1.8709277557231835e+06 -2.1034192790073394e+06 -2.3940925050253724e+06 -2.7614370546985567e+06 -3.2302893682263903e+06 -3.8328473898668098e+06 -4.6080586494665081e+06 -5.5977898167306883e+06 -6.8382612397574857e+06 -8.3477334846736686e+06 -1.0114043602324765e+07 -1.2087975191792978e+07 -1.4186459169347085e+07 -1.6305363744918071e+07 -1.8337868737586450e+07 -2.0190133045568228e+07 -2.1793875151860654e+07 -2.3110835138550557e+07 -2.4131280792572286e+07 -2.4871182208025552e+07 -2.5366973716680057e+07 -2.5666060500224996e+07 -2.5821556451464809e+07 -2.5882493737211701e+07 -2.5888431474096391e+07 -2.5866472834599990e+07 -2.5842600364132680e+07 -2.5815344841593690e+07 -2.5786165914318252e+07 -2.5755064801271308e+07 -2.5722805776031192e+07 -2.5688822731357362e+07 -2.5653083184721250e+07 -2.5614174551369738e+07 -2.5572529004477460e+07 -2.5527379412066005e+07 -2.5478126466725856e+07 -2.5424041888926595e+07 -2.5364305200769708e+07 -2.5297980278569929e+07 -2.5224008076099187e+07 -2.5141286577532195e+07 -2.5048533288076553e+07 -2.4944401281187017e+07 -2.4827441112670626e+07 -2.4696157925916284e+07 -2.4549052372041713e+07 -2.4384699985991023e+07 -2.4202176384733759e+07 -2.3999902758176591e+07 -2.3777885850922491e+07 -2.3536639220500894e+07 -2.3278055255688004e+07 -2.3005354062055647e+07 -2.2724665204797268e+07 -2.2445325005544960e+07 -2.2181219274305023e+07 -2.1952603204077072e+07 -2.1788262962065678e+07 -2.1729387189833455e+07 -2.1835119724151123e+07 -2.2192228246548664e+07 -2.2932159011166673e+07 -2.4263130011655062e+07 -2.6533993726327144e+07 1.5142795298623599e+06 +7.6781543433437363e-02 -7.2841051226232632e+05 -6.0841663585753553e+05 -4.0256385725211410e+05 -1.3618145603550921e+05 1.2272776854407600e+05 2.7230899176957330e+05 2.6695442270242918e+05 1.8206173726604658e+05 9.4634042075858379e+04 2.0094487302753729e+04 -5.0934435224741108e+04 -1.1978820696541147e+05 -1.8461029795200349e+05 -2.4478084368977358e+05 -3.0050320865681500e+05 -3.5146395786550571e+05 -3.9745283069784445e+05 -4.3880064575212455e+05 -4.7597299563616241e+05 -5.0941176899529214e+05 -5.3950591963957925e+05 -5.6632836531463359e+05 -5.8751912913509191e+05 -5.9819770505186252e+05 -6.0734247560633312e+05 -6.2411810877557518e+05 -6.4326706580731983e+05 -6.6145649285151996e+05 -6.7835336867321690e+05 -6.9414764642236882e+05 -7.0907041697630519e+05 -7.2335314146445319e+05 -7.3722808749393595e+05 -7.5093205540909828e+05 -7.6471068145032902e+05 -7.7882302432500268e+05 -7.9354670834622544e+05 -8.0918358673598641e+05 -8.2606627885979391e+05 -8.4456548774355790e+05 -8.6672240192326752e+05 -8.9182071928889933e+05 -9.2054701877273945e+05 -9.5370501654777525e+05 -9.9224473966169835e+05 -1.0373006798577307e+06 -1.0902426966204268e+06 -1.1527448960655234e+06 -1.2268815820416671e+06 -1.3152537994656195e+06 -1.4212001790999656e+06 -1.5490025369576530e+06 -1.7042545615897907e+06 -1.8945091189437881e+06 -2.1298702274000989e+06 -2.4241130324288998e+06 -2.7959283169483589e+06 -3.2704003348225653e+06 -3.8800038935038364e+06 -4.6639407542392230e+06 -5.6642172381662959e+06 -6.9169625933965277e+06 -8.4400311356193256e+06 -1.0220546226322094e+07 -1.2208398745026486e+07 -1.4319651632478034e+07 -1.6449521884158436e+07 -1.8490866400871988e+07 -2.0349836463483829e+07 -2.1958385793786958e+07 -2.3278614203056287e+07 -2.4301162425701614e+07 -2.5042331548717331e+07 -2.5538816924391903e+07 -2.5838206895649295e+07 -2.5993754856560353e+07 -2.6054589442199018e+07 -2.6060337384902149e+07 -2.6038144456714023e+07 -2.6014089888878219e+07 -2.5986644078197062e+07 -2.5957268196360435e+07 -2.5925959679907039e+07 -2.5893486329822600e+07 -2.5859277779936843e+07 -2.5823300955860913e+07 -2.5784134155653931e+07 -2.5742212283001754e+07 -2.5696763114000604e+07 -2.5647183364417616e+07 -2.5592739922268040e+07 -2.5532606865366027e+07 -2.5465841899743445e+07 -2.5391378743626561e+07 -2.5308108362216022e+07 -2.5214739624688081e+07 -2.5109916667094853e+07 -2.4992180427653730e+07 -2.4860026130920652e+07 -2.4711944479368307e+07 -2.4546501595813360e+07 -2.4362766763426047e+07 -2.4159150978660546e+07 -2.3935660909343738e+07 -2.3692813520880066e+07 -2.3432513758888502e+07 -2.3158003095714800e+07 -2.2875451768559281e+07 -2.2594258085628890e+07 -2.2328399810226671e+07 -2.2098266795564443e+07 -2.1932836103319932e+07 -2.1873569712026875e+07 -2.1980003831368718e+07 -2.2339481886800695e+07 -2.3084322349261008e+07 -2.4424124877455842e+07 -2.6710056355572701e+07 1.5326377219718450e+06 +7.7254766375265238e-02 -7.3831032125197514e+05 -6.1844123017316288e+05 -4.1280281880199257e+05 -1.4670038791803192e+05 1.1193316659391513e+05 2.6135075384054030e+05 2.5599495522163357e+05 1.7118571720283601e+05 8.3845035443878645e+04 9.3795296948698597e+03 -6.1578412087893113e+04 -1.3036296502043090e+05 -1.9511975102447244e+05 -2.5522974050777379e+05 -3.1089624511413713e+05 -3.6180635670513980e+05 -4.0775024522554874e+05 -4.4905857273207029e+05 -4.8619663613377622e+05 -5.1960606883931893e+05 -5.4967564661862864e+05 -5.7647845635635976e+05 -5.9765719790297223e+05 -6.0833681930160278e+05 -6.1748742366783333e+05 -6.3426482263210951e+05 -6.5341705382269737e+05 -6.7161518482323491e+05 -6.8852727807139547e+05 -7.0434397957466275e+05 -7.1929718145547016e+05 -7.3361931916162465e+05 -7.4754383601459709e+05 -7.6130893978742335e+05 -7.7516194124971854e+05 -7.8936388102930947e+05 -8.0419472220482398e+05 -8.1995907020750979e+05 -8.3699277960382821e+05 -8.5567035151346168e+05 -8.7805450314982329e+05 -9.0342333851340658e+05 -9.3247124248216511e+05 -9.6601126835841883e+05 -1.0050046654456108e+06 -1.0505994981106212e+06 -1.1041821710920518e+06 -1.1674471492102731e+06 -1.2424940762123056e+06 -1.3319558426042560e+06 -1.4392119626960480e+06 -1.5685965471774805e+06 -1.7257711950636685e+06 -1.9183795295863219e+06 -2.1566447435065820e+06 -2.4544995758984229e+06 -2.8308377823180491e+06 -3.3109931902730400e+06 -3.9277185518358070e+06 -4.7204692562844716e+06 -5.7313879220981402e+06 -6.9965061336456677e+06 -8.5332630785390548e+06 -1.0328059471681580e+07 -1.2329887094736209e+07 -1.4453938818784196e+07 -1.6594782635643383e+07 -1.8644957727300636e+07 -2.0510614003550962e+07 -2.2123946265253723e+07 -2.3447418594998721e+07 -2.4472047591123503e+07 -2.5214466837559111e+07 -2.5711633036847491e+07 -2.6011317181794669e+07 -2.6166911286080107e+07 -2.6227639437146608e+07 -2.6233195107400972e+07 -2.6210766042889986e+07 -2.6186528222932365e+07 -2.6158891012748212e+07 -2.6129317066022616e+07 -2.6097799992421087e+07 -2.6065111130200632e+07 -2.6030675827893246e+07 -2.5994460411911283e+07 -2.5955034016725801e+07 -2.5912834289735634e+07 -2.5867083886962827e+07 -2.5817175525286820e+07 -2.5762371233591188e+07 -2.5701839615282424e+07 -2.5634632172485463e+07 -2.5559675344960827e+07 -2.5475853044262540e+07 -2.5381865453961313e+07 -2.5276347723249584e+07 -2.5157831119605672e+07 -2.5024800893786166e+07 -2.4875737744606070e+07 -2.4709198331351377e+07 -2.4524245565354694e+07 -2.4319280197306957e+07 -2.4094308816134218e+07 -2.3849851813948933e+07 -2.3587826762678202e+07 -2.3311496619643915e+07 -2.3027072519049361e+07 -2.2744015099192243e+07 -2.2476394582639389e+07 -2.2244736231559493e+07 -2.2078209056586672e+07 -2.2018549885885976e+07 -2.2125689471760824e+07 -2.2487550168876607e+07 -2.3237327490556378e+07 -2.4586010404992487e+07 -2.6887093004183397e+07 1.5512161716887418e+06 +7.7730905902807054e-02 -7.4833133548900194e+05 -6.2858687785140064e+05 -4.2316261943424499e+05 -1.5733989580164815e+05 1.0101824951851295e+05 2.5027234151857838e+05 2.4491529415943465e+05 1.6018940216034537e+05 7.2935626062821742e+04 -1.4559268997327720e+03 -7.2342982677429187e+04 -1.4105841235202947e+05 -2.0574998806697314e+05 -2.6579951556462131e+05 -3.2141025423272344e+05 -3.7226982383681228e+05 -4.1816882544415043e+05 -4.5943776654468762e+05 -4.9654165049068362e+05 -5.2992185781596811e+05 -5.5996698888417799e+05 -5.8675030247535848e+05 -6.0791717686899507e+05 -6.1859801625899575e+05 -6.2775466004781390e+05 -6.4453407547916740e+05 -6.6368987577740953e+05 -6.8189705367763143e+05 -6.9882476352709567e+05 -7.1466435442389979e+05 -7.2964853172839386e+05 -7.4401071914135164e+05 -7.5798555194611079e+05 -7.7181266427042626e+05 -7.8574106345828355e+05 -8.0003379774948291e+05 -8.1497319893320545e+05 -8.3086665954987449e+05 -8.4805331010156090e+05 -8.6691149732738815e+05 -8.8952573616928700e+05 -9.1516846397293662e+05 -9.4454196808576002e+05 -9.7846875404507318e+05 -1.0179214313696950e+06 -1.0640618034278650e+06 -1.1182930224165714e+06 -1.1823301597994959e+06 -1.2582985065098349e+06 -1.3488631826482993e+06 -1.4574450754297001e+06 -1.5884312091751951e+06 -1.7475518838066566e+06 -1.9425425106476517e+06 -2.1837467542780149e+06 -2.4852565477618268e+06 -2.8661704383380958e+06 -3.3520735846098186e+06 -3.9759977405230221e+06 -4.7776512643530751e+06 -5.7993096311632302e+06 -7.0769000985404570e+06 -8.6274377704064380e+06 -1.0436591732613640e+07 -1.2452448328150870e+07 -1.4589328346751312e+07 -1.6741153082696138e+07 -1.8800149278818130e+07 -2.0672471770540882e+07 -2.2290562299765572e+07 -2.3617253763296828e+07 -2.4643941529110190e+07 -2.5387593167962100e+07 -2.5885427048288781e+07 -2.6185396288747299e+07 -2.6341030630555578e+07 -2.6401648588760380e+07 -2.6407009493550636e+07 -2.6384342434849054e+07 -2.6359920201908734e+07 -2.6332090475134671e+07 -2.6302317347557150e+07 -2.6270590557152327e+07 -2.6237684989393134e+07 -2.6203021681123953e+07 -2.6166566352040101e+07 -2.6126878926499985e+07 -2.6084399808833577e+07 -2.6038346506628439e+07 -2.5988107715831071e+07 -2.5932940579255056e+07 -2.5872008195672028e+07 -2.5804355829636589e+07 -2.5728902599029519e+07 -2.5644525327109195e+07 -2.5549915462004233e+07 -2.5443699116271812e+07 -2.5324397833193287e+07 -2.5190486834669523e+07 -2.5040436760423005e+07 -2.4872794754511856e+07 -2.4686617318212755e+07 -2.4480294904009894e+07 -2.4253834019642353e+07 -2.4007758502919000e+07 -2.3743998621887427e+07 -2.3465838937656946e+07 -2.3179531707627758e+07 -2.2894600245299987e+07 -2.2625207741188120e+07 -2.2392015618958287e+07 -2.2224385897999965e+07 -2.2164331776534632e+07 -2.2272180730228279e+07 -2.2636437244528342e+07 -2.3391178725201521e+07 -2.4748791133390650e+07 -2.7065108636195540e+07 1.5700174786383216e+06 +7.8209979991675310e-02 -7.5847502883062675e+05 -6.3885508498619311e+05 -4.3364476557464292e+05 -1.6810147551824868e+05 8.9981517889985305e+04 2.3907225596810374e+05 2.3371394196178342e+05 1.4907129157049375e+05 6.1904314560774284e+04 -1.2413381209959780e+04 -8.3229645367654914e+04 -1.5187604700649457e+05 -2.1650250708250279e+05 -2.7649166683017614e+05 -3.3204673394339194e+05 -3.8285585733891872e+05 -4.2871006975281617e+05 -4.6993972599832725e+05 -5.0700953811982536e+05 -5.4036063610910764e+05 -5.7038144761899137e+05 -5.9714540608944569e+05 -6.1830056996686361e+05 -6.2898280175049615e+05 -6.3814569289374107e+05 -6.5492737823227083e+05 -6.7408704588051932e+05 -6.9230361754288746e+05 -7.0924734780920693e+05 -7.2511029923155776e+05 -7.4012600253811583e+05 -7.5452888378992642e+05 -7.6855478667346330e+05 -7.8244479082662903e+05 -7.9644962248177978e+05 -8.1083436349485826e+05 -8.2588374467211927e+05 -8.4190798098808259e+05 -8.5924952011588064e+05 -8.7829060251089383e+05 -9.0113781319231435e+05 -9.2705784918143286e+05 -9.5676099800016638e+05 -9.9107933392136206e+05 -1.0309969663069908e+06 -1.0776896059123271e+06 -1.1325773570298196e+06 -1.1973961486714759e+06 -1.2742972298753746e+06 -1.3659783388575576e+06 -1.4759022307432538e+06 -1.6085094694104830e+06 -1.7695998547279378e+06 -1.9670016274754298e+06 -2.2111802334804712e+06 -2.5163884122545021e+06 -2.9019313300243169e+06 -3.3936472309682402e+06 -4.0248479032017407e+06 -4.8354939582513301e+06 -5.8679901992647005e+06 -7.1581527941698190e+06 -8.7225637299019955e+06 -1.0546151456792586e+07 -1.2576090577224243e+07 -1.4725827871700952e+07 -1.6888640339106012e+07 -1.8956447643171631e+07 -2.0835415891953163e+07 -2.2458239651505072e+07 -2.3788125176304255e+07 -2.4816849498659793e+07 -2.5561715651692551e+07 -2.6060203971084405e+07 -2.6360449164643206e+07 -2.6516117798419066e+07 -2.6576621781622987e+07 -2.6581785413093824e+07 -2.6558878492095340e+07 -2.6534270679227252e+07 -2.6506247312977165e+07 -2.6476273882851865e+07 -2.6444336210059315e+07 -2.6411212737351567e+07 -2.6376320163191572e+07 -2.6339623593085840e+07 -2.6299673694481246e+07 -2.6256913641961247e+07 -2.6210555766181313e+07 -2.6159984719967365e+07 -2.6104452733069200e+07 -2.6043117369122233e+07 -2.5975017621334147e+07 -2.5899065242025312e+07 -2.5814129931480754e+07 -2.5718894352099899e+07 -2.5611975529943231e+07 -2.5491885230292320e+07 -2.5357088590724733e+07 -2.5206046136343230e+07 -2.5037295443978641e+07 -2.4849886566401653e+07 -2.4642199605148330e+07 -2.4414240984591495e+07 -2.4166538007219467e+07 -2.3901033707406975e+07 -2.3621034369426303e+07 -2.3332833601198632e+07 -2.3046017738498580e+07 -2.2774843450764883e+07 -2.2540109079717744e+07 -2.2371370718672648e+07 -2.2310919464075036e+07 -2.2419481706706636e+07 -2.2786147280690912e+07 -2.3545880359100983e+07 -2.4912471618514262e+07 -2.7244108233802028e+07 1.5890442723238247e+06 +7.8692006728270480e-02 -7.6874292779145273e+05 -6.4924735614715097e+05 -4.4425076014726079e+05 -1.7898664110792030e+05 7.8821453630738644e+04 2.2774898122127869e+05 2.2238937887413430e+05 1.3782986723149492e+05 5.0749583195084269e+04 -2.3494350313898271e+04 -9.4239916937636721e+04 -1.6281738542423231e+05 -2.2737882442700208e+05 -2.8730771054231672e+05 -3.4280720054524578e+05 -3.9356597363411397e+05 -4.3937549491688242e+05 -4.8056596828414645e+05 -5.1760181683301507e+05 -5.5092392230414937e+05 -5.8092054241787468e+05 -6.0766528804902639e+05 -6.2880889958068577e+05 -6.3949270007835969e+05 -6.4866204885681474e+05 -6.6544626034393674e+05 -6.8461009692144755e+05 -7.0283641317315341e+05 -7.1979657237164571e+05 -7.3568336101027310e+05 -7.5073114745914203e+05 -7.6517537441662571e+05 -7.7925311061546498e+05 -7.9320690058903676e+05 -8.0728921204139956e+05 -8.2176718676539860e+05 -8.3692798526201898e+05 -8.5308468069403013e+05 -8.7058307963962504e+05 -8.8980936495632865e+05 -9.1289246741472476e+05 -9.3909326914440817e+05 -9.6913015672488429e+05 -1.0038448910857019e+06 -1.0442332227415566e+06 -1.0914849402640508e+06 -1.1470373071290404e+06 -1.2126473637958555e+06 -1.2904926320206865e+06 -1.3833038611985096e+06 -1.4945861750865981e+06 -1.6288343100954629e+06 -1.7919183737364009e+06 -1.9917604882771783e+06 -2.2389492022327483e+06 -2.5478996861119405e+06 -2.9381255604931954e+06 -3.4357199062259677e+06 -4.0742755521183326e+06 -4.8940045894126482e+06 -5.9374375320400232e+06 -7.2402725950030060e+06 -8.8186495376893282e+06 -1.0656747145474695e+07 -1.2700822018678738e+07 -1.4863445085732089e+07 -1.7037251549081765e+07 -1.9113859433847688e+07 -2.0999452517835338e+07 -2.2626984095279660e+07 -2.3960038321834370e+07 -2.4990776777546812e+07 -2.5736839418829180e+07 -2.6235968835703962e+07 -2.6536480775456697e+07 -2.6692177715953063e+07 -2.6752563918071546e+07 -2.6757527753583021e+07 -2.6734379091826357e+07 -2.6709584525923539e+07 -2.6681366391551796e+07 -2.6651191531449866e+07 -2.6619041804799542e+07 -2.6585699221564971e+07 -2.6550576115240142e+07 -2.6513636969365761e+07 -2.6473423147675522e+07 -2.6430380608283296e+07 -2.6383716476342734e+07 -2.6332811339156024e+07 -2.6276912486250635e+07 -2.6215171915611390e+07 -2.6146622315064043e+07 -2.6070168027508106e+07 -2.5984671595299128e+07 -2.5888806844665550e+07 -2.5781181665007830e+07 -2.5660297989588369e+07 -2.5524610815953352e+07 -2.5372570498667948e+07 -2.5202704995082874e+07 -2.5014057870804142e+07 -2.4804998823562320e+07 -2.4575534191954568e+07 -2.4326194762367122e+07 -2.4058936405988332e+07 -2.3777087250385523e+07 -2.3486982482320718e+07 -2.3198271808634154e+07 -2.2925305891430832e+07 -2.2689020750822674e+07 -2.2519167624646354e+07 -2.2458317043408640e+07 -2.2567596516074125e+07 -2.2936684459565125e+07 -2.3701436713862229e+07 -2.5077056432770029e+07 -2.7424096797381949e+07 1.6082992124547223e+06 +7.9177004310463830e-02 -7.7913655795777938e+05 -6.5976521630482946e+05 -4.5498214337188599e+05 -1.8999692961510969e+05 6.7536520923168820e+04 2.1630097703977959e+05 2.1094006711176172e+05 1.2646359294986933e+05 3.9469896048145602e+04 -3.4700369899521997e+04 -1.0537533274236586e+05 -1.7388396270035914e+05 -2.3838047499642885e+05 -2.9824918144141091e+05 -3.5369318892766489e+05 -4.0440170772097673e+05 -4.5016663628644962e+05 -4.9131802920294326e+05 -5.2832002306421893e+05 -5.6161325361323392e+05 -5.9158581151138537e+05 -6.1831148786253075e+05 -6.3944370676919445e+05 -6.5012925424374442e+05 -6.5930527331643004e+05 -6.7609227003281855e+05 -6.9526058049490687e+05 -7.1349699617687473e+05 -7.3047399757787806e+05 -7.4638510574919917e+05 -7.6146553912482795e+05 -7.7595177148561960e+05 -7.9008211345486960e+05 -8.0410059408316470e+05 -8.1826144540456461e+05 -8.3283389579042641e+05 -8.4810756648383068e+05 -8.6439842502460466e+05 -8.8205567914016114e+05 -9.0146950336953532e+05 -9.2479145327821770e+05 -9.5127652061782090e+05 -9.8165129111161595e+05 -1.0167673316947562e+06 -1.0576321770641527e+06 -1.1054498660763903e+06 -1.1616750309780780e+06 -1.2280860806073372e+06 -1.3068871277710269e+06 -1.4008423307136493e+06 -1.5134996883158712e+06 -1.6494087496192737e+06 -1.8145107462091334e+06 -2.0168227446106598e+06 -2.2670577295511458e+06 -2.5797949391381405e+06 -2.9747582915800344e+06 -3.4782974516386986e+06 -4.1242872687645825e+06 -4.9531904814783596e+06 -6.0076596073525557e+06 -7.3232679442819282e+06 -8.9157038365982305e+06 -1.0768387353584001e+07 -1.2826650874003891e+07 -1.5002187717691151e+07 -1.7186993887100901e+07 -1.9272391289963000e+07 -2.1164587820796978e+07 -2.2796801426390994e+07 -2.4132998706978373e+07 -2.5165728662124243e+07 -2.5912969617688186e+07 -2.6412726690542631e+07 -2.6713496105076998e+07 -2.6869215327194475e+07 -2.6929479918176889e+07 -2.6934241420163829e+07 -2.6910849128937662e+07 -2.6885866630687006e+07 -2.6857452593732558e+07 -2.6827075170495335e+07 -2.6794712212515350e+07 -2.6761149307144713e+07 -2.6725794395910196e+07 -2.6688611332749173e+07 -2.6648132130611941e+07 -2.6604805544427585e+07 -2.6557833465176962e+07 -2.6506592392128944e+07 -2.6450324647339471e+07 -2.6388176632393885e+07 -2.6319174695501063e+07 -2.6242215726144392e+07 -2.6156155073581778e+07 -2.6059657677232701e+07 -2.5951322239357315e+07 -2.5829640806849364e+07 -2.5693058181249347e+07 -2.5540014490461815e+07 -2.5369028019834522e+07 -2.5179135808907345e+07 -2.4968697098397717e+07 -2.4737718138885673e+07 -2.4486733219887767e+07 -2.4217711120308250e+07 -2.3934001931535851e+07 -2.3641982648934882e+07 -2.3351366700889781e+07 -2.3076599258376360e+07 -2.2838754784246333e+07 -2.2667780736767691e+07 -2.2606528624313850e+07 -2.2716529288078323e+07 -2.3088052978418458e+07 -2.3857852126720317e+07 -2.5242550165139124e+07 -2.7605079345422588e+07 1.6277849892781852e+06 +7.9664991048284464e-02 -7.8965746552158648e+05 -6.7041023399336974e+05 -4.6584046394539747e+05 -2.0113389657617974e+05 5.6125164035996509e+04 2.0472668666030146e+05 1.9936445257384828e+05 1.1497091340891599e+05 2.8063698356405741e+04 -4.6032994462138646e+04 -1.1663744691393923e+05 -1.8507733275599036e+05 -2.4950901245594581e+05 -3.0931763306585996e+05 -3.6470625279590255e+05 -4.1536461341768556e+05 -4.6108504802212940e+05 -5.0219746339021606e+05 -5.3916571209125232e+05 -5.7243018610659370e+05 -6.0237881199623190e+05 -6.2908556392170372e+05 -6.5020655149087962e+05 -6.6089402617445984e+05 -6.7007693060600443e+05 -6.8686697450700984e+05 -7.0604006722911983e+05 -7.2428694124636322e+05 -7.4128120293235721e+05 -7.5721711864998564e+05 -7.7233076945718401e+05 -7.8685967484499502e+05 -8.0104340437182854e+05 -8.1512749146697042e+05 -8.2936795562657795e+05 -8.4403613876723906e+05 -8.5942415429918468e+05 -8.7585090076912951e+05 -8.9366902981172106e+05 -9.1327275752507499e+05 -9.3683654672756535e+05 -9.6360942237158818e+05 -9.9432627063413570e+05 -1.0298485852482744e+06 -1.0711958298507924e+06 -1.1195864681399183e+06 -1.1764927132306751e+06 -1.2437146023336337e+06 -1.3234831614133404e+06 -1.4185963598916060e+06 -1.5326455840916561e+06 -1.6702358429723931e+06 -1.8373803174502549e+06 -2.0421920918896915e+06 -2.2955099328947808e+06 -2.6120787948102918e+06 -3.0118347444676794e+06 -3.5213857734807217e+06 -4.1748897044959767e+06 -5.0130590308678281e+06 -6.0786644757527886e+06 -7.4071473543629739e+06 -9.0137353318582289e+06 -1.0881080689833811e+07 -1.2953585409466838e+07 -1.5142063533104580e+07 -1.7337874557904903e+07 -1.9432049876219254e+07 -2.1330827995786160e+07 -2.2967697460607577e+07 -2.4307011858122464e+07 -2.5341710467323344e+07 -2.6090111414723199e+07 -2.6590482601938251e+07 -2.6891500155164074e+07 -2.7047235593885854e+07 -2.7107374719633780e+07 -2.7111931335628502e+07 -2.7088293515801989e+07 -2.7063121899777595e+07 -2.7034510819936763e+07 -2.7003929694589201e+07 -2.6971352321897071e+07 -2.6937567876565881e+07 -2.6901979881274484e+07 -2.6864551552515298e+07 -2.6823805505146634e+07 -2.6780193304386415e+07 -2.6732911578084178e+07 -2.6681332714943558e+07 -2.6624694042118855e+07 -2.6562136333930708e+07 -2.6492679564578712e+07 -2.6415213125720773e+07 -2.6328585138434567e+07 -2.6231451604303431e+07 -2.6122401987659067e+07 -2.5999918394580759e+07 -2.5862435374224726e+07 -2.5708382771431230e+07 -2.5536269146731313e+07 -2.5345124974502962e+07 -2.5133298985100854e+07 -2.4900797338724926e+07 -2.4648157847313359e+07 -2.4377362268786978e+07 -2.4091782779597417e+07 -2.3797838414462343e+07 -2.3505306675651003e+07 -2.3228727761860184e+07 -2.2989315346817184e+07 -2.2817214190698728e+07 -2.2755558331281010e+07 -2.2866284167277493e+07 -2.3240257049617033e+07 -2.4015130950444154e+07 -2.5408957421030480e+07 -2.7787060914358113e+07 1.6475043239140017e+06 +8.0155985364610535e-02 -8.0030723560203938e+05 -6.8118396356992994e+05 -4.7682728994758928e+05 -2.1239910859580792e+05 4.4585810040108183e+04 1.9302453783932884e+05 1.8766095832640529e+05 1.0335025408086099e+05 1.6529416237020847e+04 -5.7493797439118258e+04 -1.2802783261469768e+05 -1.9639906852420466e+05 -2.6076600949756562e+05 -3.2051463804773858e+05 -3.7584796489976021e+05 -4.2645626360598026e+05 -4.7213230332518253e+05 -5.1320584454647469e+05 -5.5014045825963980e+05 -5.8337629494016618e+05 -6.1330112006258115e+05 -6.3998909372888203e+05 -6.6109901283409260e+05 -6.7178859695278457e+05 -6.8097860424559866e+05 -6.9777196019748750e+05 -7.1695014701685112e+05 -7.3520784238685295e+05 -7.5221978731293546e+05 -7.6818100435452093e+05 -7.8332844990389247e+05 -7.9790070396353467e+05 -8.1213861228020489e+05 -8.2628923276378959e+05 -8.4061039578623499e+05 -8.5537558410208812e+05 -8.7087943509610544e+05 -8.8744381539598573e+05 -9.0542486382387567e+05 -9.2522088852082391e+05 -9.4902954546705738e+05 -9.7609381545840914e+05 -1.0071569876603836e+06 -1.0430906048666529e+06 -1.0849262061600531e+06 -1.1338968567432526e+06 -1.1914925652389133e+06 -1.2595352603336470e+06 -1.3402832070598679e+06 -1.4365685930459653e+06 -1.5520267102827930e+06 -1.6913186821881733e+06 -1.8605304731641144e+06 -2.0678722698920632e+06 -2.3243099787116051e+06 -2.6447559308576742e+06 -3.0493602003233465e+06 -3.5649908437021133e+06 -4.2260895811722307e+06 -5.0736177073572297e+06 -6.1504602609714903e+06 -7.4919194070438361e+06 -9.1127527913264520e+06 -1.0994835816819040e+07 -1.3081633936121812e+07 -1.5283080334152905e+07 -1.7489900796442829e+07 -1.9592841882790178e+07 -2.1498179260142528e+07 -2.3139678034046248e+07 -2.4482083320787489e+07 -2.5518727526560076e+07 -2.6268269994463209e+07 -2.6769241654099498e+07 -2.7070497945004858e+07 -2.7226243495348535e+07 -2.7286253277665310e+07 -2.7290602440220799e+07 -2.7266717182306226e+07 -2.7241355256832156e+07 -2.7212545987973567e+07 -2.7181760015793022e+07 -2.7148967038958512e+07 -2.7114959829705328e+07 -2.7079137464731563e+07 -2.7041462515204594e+07 -2.7000448150401350e+07 -2.6956548759380378e+07 -2.6908955677691612e+07 -2.6857037160867237e+07 -2.6800025513578370e+07 -2.6737055851770081e+07 -2.6667141741258528e+07 -2.6589165031134147e+07 -2.6501966578989808e+07 -2.6404193397284798e+07 -2.6294425661549773e+07 -2.6171135482079864e+07 -2.6032747099203035e+07 -2.5877680017842337e+07 -2.5704433020794488e+07 -2.5512029977801748e+07 -2.5298809055343036e+07 -2.5064776320840485e+07 -2.4810473128077425e+07 -2.4537894285574786e+07 -2.4250434176784340e+07 -2.3954554107673429e+07 -2.3660096008503363e+07 -2.3381695627063945e+07 -2.3140706620203372e+07 -2.2967472136822224e+07 -2.2905410303473331e+07 -2.3016865312980793e+07 -2.3393300900469147e+07 -2.4173277553309109e+07 -2.5576282822286338e+07 -2.7970046558594655e+07 1.6674599686927798e+06 +8.0650005795864774e-02 -8.1108743959508615e+05 -6.9208799221809197e+05 -4.8794421917059959e+05 -2.2379416198917027e+05 3.2916864554466512e+04 1.8119293735736428e+05 1.7582799140667642e+05 9.1600021671903800e+04 4.8654565117838983e+03 -6.9084371493236118e+04 -1.3954808228924192e+05 -2.0785076220081392e+05 -2.7215305809191940e+05 -3.3184178835873067e+05 -3.8711991726367583e+05 -4.3767825046581030e+05 -4.8330999467636074e+05 -5.2434476566925540e+05 -5.6124585520763602e+05 -5.9445317458934186e+05 -6.2435433123152342e+05 -6.5102367413035419e+05 -6.7212268924704904e+05 -6.8281456705023849e+05 -6.9201189717327803e+05 -7.0880883298915648e+05 -7.2799242924926139e+05 -7.4626131315115013e+05 -7.6329136920506624e+05 -7.7927838718197355e+05 -7.9446021167081245e+05 -8.0907649816856591e+05 -8.2336938606993912e+05 -8.3758747810961946e+05 -8.5199043923240562e+05 -8.6685392065678071e+05 -8.8247511593665753e+05 -8.9917889730410010e+05 -9.1732493457540590e+05 -9.3731567903447070e+05 -9.6137226922733418e+05 -9.8873156348115916e+05 -1.0201453577330612e+06 -1.0564953675799018e+06 -1.0988253558312273e+06 -1.1483831679809706e+06 -1.2066768253817637e+06 -1.2755504144293859e+06 -1.3572897689940662e+06 -1.4547617066944449e+06 -1.5716459493699940e+06 -1.7126603967737902e+06 -1.8839646399283982e+06 -2.0938670632799393e+06 -2.3534620830056062e+06 -2.6778310798837328e+06 -3.0873400009235521e+06 -3.6091187005735356e+06 -4.2778936917939326e+06 -5.1348740546584446e+06 -6.2230551603991855e+06 -7.5775927539368384e+06 -9.2127650456765443e+06 -1.1109661451080849e+07 -1.3210804809814382e+07 -1.5425245959651724e+07 -1.7643079867670234e+07 -1.9754774025212370e+07 -2.1666647853445102e+07 -2.3312749003091522e+07 -2.4658218659562346e+07 -2.5696785191545215e+07 -2.6447450559398424e+07 -2.6949008948922418e+07 -2.7250494511577457e+07 -2.7406244028430331e+07 -2.7466120564992640e+07 -2.7470259691671837e+07 -2.7446125075755462e+07 -2.7420571642939527e+07 -2.7391563033044398e+07 -2.7360571063489277e+07 -2.7327561287084844e+07 -2.7293330083779108e+07 -2.7257272057003610e+07 -2.7219349124648251e+07 -2.7178064962865088e+07 -2.7133876797848109e+07 -2.7085970643843070e+07 -2.7033710600304194e+07 -2.6976323921757504e+07 -2.6912940034570035e+07 -2.6842566061497908e+07 -2.6764076264114574e+07 -2.6676304201177347e+07 -2.6577887844457693e+07 -2.6467398029382199e+07 -2.6343296815400153e+07 -2.6203998077101681e+07 -2.6047910922510527e+07 -2.5873524303382535e+07 -2.5679855445251409e+07 -2.5465231896943070e+07 -2.5229659630578071e+07 -2.4973683561433416e+07 -2.4699311620538082e+07 -2.4409960520812310e+07 -2.4112134072587162e+07 -2.3815738990092490e+07 -2.3535507094150994e+07 -2.3292932800842315e+07 -2.3118558740138244e+07 -2.3056088694688525e+07 -2.3168276899212316e+07 -2.3547188773282297e+07 -2.4332296319047134e+07 -2.5744531007012315e+07 -2.8154041350350711e+07 1.6876547074975937e+06 +8.1147070992714329e-02 -8.2199968241982837e+05 -7.0312393694908614e+05 -4.9919285128911212e+05 -2.3532066452404080e+05 2.1116715502783150e+04 1.6923026643272972e+05 1.6386393743542521e+05 7.9718602543064510e+04 -6.9297934670061550e+03 -8.0806328835976397e+04 -1.5119980788585712e+05 -2.1943402547048772e+05 -2.8367176973672770e+05 -3.4330069550627179e+05 -3.9852372141678398e+05 -4.4903218570527137e+05 -4.9461973407308076e+05 -5.3561583927898866e+05 -5.7248351609716890e+05 -6.0566243908316549e+05 -6.3554006058751524e+05 -6.6219092154948856e+05 -6.8327919877472124e+05 -6.9397355656113871e+05 -7.0317843198121642e+05 -7.1997921845902875e+05 -7.3916854305195669e+05 -7.5744898687863396e+05 -7.7449758693783032e+05 -7.9051091136896552e+05 -8.0572770596583071e+05 -8.2038871688690770e+05 -8.3473739484485483e+05 -8.4902390799105854e+05 -8.6350977982707706e+05 -8.7847285799677344e+05 -8.9421292480801069e+05 -9.1105789607603173e+05 -9.2937101695388637e+05 -9.4955893358832540e+05 -9.7386656003049714e+05 -1.0015245528667445e+06 -1.0332933198464924e+06 -1.0700648746152343e+06 -1.1128953537790745e+06 -1.1630475640697470e+06 -1.2220477593893581e+06 -1.2917624532546008e+06 -1.3745053820387311e+06 -1.4731784099472719e+06 -1.5915062188630635e+06 -1.7342641541624535e+06 -1.9076862856734942e+06 -2.1201803021185095e+06 -2.3829705118998066e+06 -2.7113090299557797e+06 -3.1257795493006390e+06 -3.6537754493492148e+06 -4.3303089011447020e+06 -5.1968356910101678e+06 -6.2964574455543756e+06 -7.6641761168087767e+06 -9.3137809886037353e+06 -1.1225566363228600e+07 -1.3341106431192191e+07 -1.5568568284913531e+07 -1.7797419066644657e+07 -1.9917853044365544e+07 -2.1836240037410401e+07 -2.3486916244291551e+07 -2.4835423458071660e+07 -2.5875888832396135e+07 -2.6627658329920288e+07 -2.7129789606012870e+07 -2.7431494909326050e+07 -2.7587242207454037e+07 -2.7646981571716249e+07 -2.7650908065055411e+07 -2.7626522160737563e+07 -2.7600776016470984e+07 -2.7571566907607250e+07 -2.7540367784305014e+07 -2.7507140006875940e+07 -2.7472683573179722e+07 -2.7436388586018734e+07 -2.7398216301884536e+07 -2.7356660856003236e+07 -2.7312182325372718e+07 -2.7263961373405550e+07 -2.7211357920712508e+07 -2.7153594143745221e+07 -2.7089793747992367e+07 -2.7018957378245648e+07 -2.6939951663385496e+07 -2.6851602827880256e+07 -2.6752539750856936e+07 -2.6641323876201399e+07 -2.6516407157135304e+07 -2.6376193045320813e+07 -2.6219080194657270e+07 -2.6043547672273342e+07 -2.5848606019547109e+07 -2.5632572113740552e+07 -2.5395451829241917e+07 -2.5137793662357617e+07 -2.4861618739052869e+07 -2.4570366224737097e+07 -2.4270582668471891e+07 -2.3972239926079318e+07 -2.3690166418088965e+07 -2.3445998099903140e+07 -2.3270478180285841e+07 -2.3207597673246395e+07 -2.3320523114578750e+07 -2.3701924925136279e+07 -2.4492191646683052e+07 -2.5913706629620664e+07 -2.8339050379644200e+07 1.7080913561090461e+06 +8.1647199720774846e-02 -8.3304560057439189e+05 -7.1429342629488499e+05 -5.1057482344317698e+05 -2.4698024672630880e+05 9.1837301370847908e+03 1.5713489680322399e+05 1.5176716235511299e+05 6.7704363914974994e+04 -1.8857966088349302e+04 -9.2661301526194307e+04 -1.6298464101820663e+05 -2.3115048968988794e+05 -2.9532377570331492e+05 -3.5489299072752398e+05 -4.1006100861593737e+05 -4.6051970078407059e+05 -5.0606315327182843e+05 -5.4702069765820855e+05 -5.8385507385048852e+05 -6.1700572223552177e+05 -6.4685994301884738e+05 -6.7349247221912106e+05 -6.9457017929763510e+05 -7.0526720544171403e+05 -7.1447985115491669e+05 -7.3128476211278792e+05 -7.5048013752339059e+05 -7.6877251693202765e+05 -7.8584009892769926e+05 -8.0188024130714557e+05 -8.1713260423815297e+05 -8.3183903988758754e+05 -8.4624432816972141e+05 -8.6060022349591472e+05 -8.7517013219687692e+05 -8.9023412664257886e+05 -9.0609461087529780e+05 -9.2308258273611532e+05 -9.4156490759418148e+05 -9.6195247880988754e+05 -9.8651428246196127e+05 -1.0144746931429963e+06 -1.0466028367342874e+06 -1.0838011516888244e+06 -1.1271383003001066e+06 -1.1778922336561864e+06 -1.2376076606712595e+06 -1.3081737945992816e+06 -1.3919326119247992e+06 -1.4918214448932800e+06 -1.6116104717174768e+06 -1.7561331601576593e+06 -1.9316989201711891e+06 -2.1468158624007879e+06 -2.4128395822073678e+06 -2.7451946252274550e+06 -3.1646843103945167e+06 -3.6989672629304342e+06 -4.3833421464364715e+06 -5.2595103097484950e+06 -6.3706754625629103e+06 -7.7516782879185285e+06 -9.4158095770672336e+06 -1.1342559378004834e+07 -1.3472547245682478e+07 -1.5713055221781248e+07 -1.7952925718288504e+07 -2.0082085706311356e+07 -2.2006962095831789e+07 -2.3662185654247485e+07 -2.5013703318763319e+07 -2.6056043837389931e+07 -2.6808898544275396e+07 -2.7311588762532238e+07 -2.7613504210232161e+07 -2.7769243064110056e+07 -2.7828841305252984e+07 -2.7832552552701708e+07 -2.7807913419111677e+07 -2.7781973352993891e+07 -2.7752562581369132e+07 -2.7721155142088059e+07 -2.7687708156105720e+07 -2.7653025249440372e+07 -2.7616491996721163e+07 -2.7578068984969497e+07 -2.7536240760456096e+07 -2.7491470264505513e+07 -2.7442932780312777e+07 -2.7389984026495758e+07 -2.7331841073543109e+07 -2.7267621874533463e+07 -2.7196320561242457e+07 -2.7116796084471636e+07 -2.7027867298631400e+07 -2.6928153938180510e+07 -2.6816208003695928e+07 -2.6690471286452115e+07 -2.6549336757818725e+07 -2.6391192559862535e+07 -2.6214507821354788e+07 -2.6018286359448314e+07 -2.5800834325584758e+07 -2.5562157493923269e+07 -2.5302807961553559e+07 -2.5024820122043960e+07 -2.4731655716996450e+07 -2.4429904269700952e+07 -2.4129603137133501e+07 -2.3845677868665460e+07 -2.3599906743099973e+07 -2.3423234651375148e+07 -2.3359941421943866e+07 -2.3473608162227586e+07 -2.3857513627924785e+07 -2.4652967950577799e+07 -2.6083814360618521e+07 -2.8525078754110731e+07 1.7287727625537841e+06 +8.2150410861318912e-02 -8.4422683616979886e+05 -7.2559809961967950e+05 -5.2209178009175917e+05 -2.5877456390431145e+05 -2.8837440264283955e+03 1.4490517249454735e+05 1.3953601390808652e+05 5.5555653024032094e+04 -3.0920713739324106e+04 -1.0465094147957784e+05 -1.7490423324731711e+05 -2.4300180614855664e+05 -3.0711072726721922e+05 -3.6662032520279841e+05 -4.2173343007593340e+05 -4.7214244714531378e+05 -5.1764190402831603e+05 -5.5856099308227305e+05 -5.9536218139327120e+05 -6.2848467788351385e+05 -6.5831563345644576e+05 -6.8492998242688098e+05 -7.0599728877023456e+05 -7.1669717374959996e+05 -7.2591781731504132e+05 -7.4272712962923467e+05 -7.6192888197967922e+05 -7.8023357694174687e+05 -7.9732058391892142e+05 -8.1338806179268169e+05 -8.2867659842430393e+05 -8.4342916752985446e+05 -8.5789189631956548e+05 -8.7231814656057709e+05 -8.8697323198136559e+05 -9.0213947832142154e+05 -9.1812194473800622e+05 -9.3525475000712636e+05 -9.5390842514343758e+05 -9.7449816370557842e+05 -9.9931732394192100e+05 -1.0275839172166970e+06 -1.0600758951507877e+06 -1.0977062493039377e+06 -1.1415563213759977e+06 -1.1929193921417105e+06 -1.2533588506500118e+06 -1.3247868857594708e+06 -1.4095740556560622e+06 -1.5106935869968133e+06 -1.6319616967546893e+06 -1.7782706593858227e+06 -1.9560060955239935e+06 -2.1737776665795436e+06 -2.4430736620026776e+06 -2.7794927665540315e+06 -3.2040598117036959e+06 -3.7447003825271679e+06 -4.4370004379549390e+06 -5.3229056798961172e+06 -6.4457176326571889e+06 -7.8401081303575980e+06 -9.5188598314626161e+06 -1.1460649374379667e+07 -1.3605135743508786e+07 -1.5858714718493141e+07 -1.8109607177370429e+07 -2.0247478802163262e+07 -2.2178820334416069e+07 -2.3838563149605706e+07 -2.5193063862928789e+07 -2.6237255612877872e+07 -2.6991176458380233e+07 -2.7494411573186759e+07 -2.7796527503506128e+07 -2.7952251647286758e+07 -2.8011704790219206e+07 -2.8015198164108776e+07 -2.7990303849857241e+07 -2.7964168645211790e+07 -2.7934555041080613e+07 -2.7902938117727220e+07 -2.7869270709608465e+07 -2.7834360081139714e+07 -2.7797587251192626e+07 -2.7758912128999531e+07 -2.7716809623770297e+07 -2.7671745554788459e+07 -2.7622889795359470e+07 -2.7569593838971701e+07 -2.7511069622045889e+07 -2.7446429313508891e+07 -2.7374660497050188e+07 -2.7294614399527717e+07 -2.7205102469681840e+07 -2.7104735244767707e+07 -2.6992055230097689e+07 -2.6865493998970218e+07 -2.6723433984802786e+07 -2.6564252759957410e+07 -2.6386409460770320e+07 -2.6188901139798969e+07 -2.5970023168270286e+07 -2.5729781217511058e+07 -2.5468731005298555e+07 -2.5188920265831653e+07 -2.4893833441266082e+07 -2.4590103265728414e+07 -2.4287832958721921e+07 -2.4002045730298776e+07 -2.3754662970744278e+07 -2.3576832361958314e+07 -2.3513124138013761e+07 -2.3627536259802315e+07 -2.4013959168281108e+07 -2.4814629660182383e+07 -2.6254858886655819e+07 -2.8712131599032469e+07 1.7497018074564736e+06 +8.2656723411988903e-02 -8.5554505777666403e+05 -7.3703963060340949e+05 -5.3374538844126940e+05 -2.7070528230207961e+05 -1.5087379641676613e+04 1.3253942002573944e+05 1.2716881835820248e+05 4.3270796733371484e+04 -4.3119708896999422e+04 -1.1677692084333937e+05 -1.8696025641699458e+05 -2.5498964640167903e+05 -3.1903429591861781e+05 -3.7848437029182387e+05 -4.3354265720588609e+05 -4.8390209645562427e+05 -5.2935765833920066e+05 -5.7023839806111075e+05 -6.0700651190193102e+05 -6.4010098012977419e+05 -6.6990880711447133e+05 -6.9650512875208817e+05 -7.1756220547095989e+05 -7.2826514188984712e+05 -7.3749401345963450e+05 -7.5430800709995942e+05 -7.7351646619416610e+05 -7.9183386105046479e+05 -8.0894074123105849e+05 -8.2503607826698979e+05 -8.4036140119506116e+05 -8.5516082100978948e+05 -8.6968183052798884e+05 -8.8417942022629292e+05 -8.9892083609186288e+05 -9.1419068622624117e+05 -9.3029671869089676e+05 -9.4757621257800364e+05 -9.6640341052479821e+05 -9.8719785992437485e+05 -1.0122775950026597e+06 -1.0408541816583403e+06 -1.0737145061672076e+06 -1.1117822430485401e+06 -1.1561515689867125e+06 -1.2081312820015403e+06 -1.2693036791000213e+06 -1.3416042038924387e+06 -1.4274323418886436e+06 -1.5297976454952881e+06 -1.6525629190898112e+06 -1.8006799357636252e+06 -1.9806114066608176e+06 -2.2010696841114927e+06 -2.4736771712058084e+06 -2.8142084121223590e+06 -3.2439116439459668e+06 -3.7909811183406054e+06 -4.4912908597217388e+06 -5.3870296467566388e+06 -6.5215924526191615e+06 -7.9294745784057621e+06 -9.6229408358010687e+06 -1.1579845285615329e+07 -1.3738880459645716e+07 -1.6005554759659579e+07 -1.8267470828403089e+07 -2.0414039148121547e+07 -2.2351821080708023e+07 -2.4016054666820459e+07 -2.5373510730552461e+07 -2.6419529583313942e+07 -2.7174497345798045e+07 -2.7678263210019924e+07 -2.7980569895727128e+07 -2.8136273023141280e+07 -2.8195577068394523e+07 -2.8198849925860945e+07 -2.8173698469052460e+07 -2.8147366902879078e+07 -2.8117549290537406e+07 -2.8085721709143359e+07 -2.8051832659180790e+07 -2.8016693053815480e+07 -2.7979679328377508e+07 -2.7940750705956541e+07 -2.7898372410437975e+07 -2.7853013152623314e+07 -2.7803837366184101e+07 -2.7750192296229411e+07 -2.7691284716844935e+07 -2.7626220980956346e+07 -2.7553982088863246e+07 -2.7473411497410204e+07 -2.7383313213820975e+07 -2.7282288525436878e+07 -2.7168870390010543e+07 -2.7041480106692534e+07 -2.6898489512844890e+07 -2.6738265553015769e+07 -2.6559257316736996e+07 -2.6360455051368386e+07 -2.6140143293336190e+07 -2.5898327608559217e+07 -2.5635567355370361e+07 -2.5353923682073168e+07 -2.5056903856349591e+07 -2.4751184060998470e+07 -2.4446933741149936e+07 -2.4159274302087553e+07 -2.3910271037594564e+07 -2.3731275534961168e+07 -2.3667150032923967e+07 -2.3782311639323458e+07 -2.4171265847408935e+07 -2.4977181220206145e+07 -2.6426844910295013e+07 -2.8900214057138000e+07 1.7708814043953470e+06 +8.3166156487514187e-02 -8.6700195425462758e+05 -7.4861969904415461e+05 -5.4553734163076524e+05 -2.8277409548299585e+05 -2.7428869601011433e+04 1.2003594483605697e+05 1.1466388108480540e+05 3.0848101383857658e+04 -5.5456644496037050e+04 -1.2904093226188816e+05 -1.9915440278676894e+05 -2.6711570251046121e+05 -3.3109617355909239e+05 -3.9048681778874696e+05 -4.4549038186693407e+05 -4.9580034085137217e+05 -5.4121210868535074e+05 -5.8205460558491410e+05 -6.1878975905489433e+05 -6.5185632358199882e+05 -6.8164115973516798e+05 -7.0821960831445537e+05 -7.2926662824598304e+05 -7.3997281086124410e+05 -7.4921014321409375e+05 -7.6602910128299682e+05 -7.8524460064741643e+05 -8.0357508416047774e+05 -8.2070229100685345e+05 -8.3682601707098901e+05 -8.5218874621107790e+05 -8.6703574261483224e+05 -8.8161588324259967e+05 -8.9618580888909986e+05 -9.1101472296455095e+05 -9.2638954527703638e+05 -9.4262074698780628e+05 -9.6004880736509350e+05 -9.7905172721083043e+05 -1.0000534620364712e+06 -1.0253970295673144e+06 -1.0542874669879808e+06 -1.0875207054639442e+06 -1.1260312338993712e+06 -1.1709262214221724e+06 -1.2235301731134467e+06 -1.2854445244871934e+06 -1.3586282563759617e+06 -1.4455101313086126e+06 -1.5491364638052608e+06 -1.6734172005649975e+06 -1.8233643129510980e+06 -2.0055184918417016e+06 -2.2286959319920130e+06 -2.5046545821769969e+06 -2.8493465780752022e+06 -3.2842454617271600e+06 -3.8378158502362566e+06 -4.5462205701339748e+06 -5.4518901324866507e+06 -6.5983084952850249e+06 -8.0197866378656784e+06 -9.7280617379536498e+06 -1.1700156099336095e+07 -1.3873789973833710e+07 -1.6153583366192952e+07 -1.8426524085526783e+07 -2.0581773585172419e+07 -2.2525970684014231e+07 -2.4194666162107296e+07 -2.5555049580205698e+07 -2.6602871190959040e+07 -2.7358866497601759e+07 -2.7863148862370603e+07 -2.8165636510604613e+07 -2.8321312274873149e+07 -2.8380463198536914e+07 -2.8383512881587278e+07 -2.8358102309668753e+07 -2.8331573152672771e+07 -2.8301550350479107e+07 -2.8269510931146707e+07 -2.8235399013508435e+07 -2.8200029169883441e+07 -2.8162773224085346e+07 -2.8123589704696860e+07 -2.8080934101691417e+07 -2.8035278031173866e+07 -2.7985780457165658e+07 -2.7931784353091717e+07 -2.7872491302241627e+07 -2.7807001809572641e+07 -2.7734290256454822e+07 -2.7653192283501916e+07 -2.7562504420337874e+07 -2.7460818651434034e+07 -2.7346658334445607e+07 -2.7218434437833797e+07 -2.7074508144658349e+07 -2.6913235713103548e+07 -2.6733056131401636e+07 -2.6532952800812520e+07 -2.6311199368091144e+07 -2.6067801291172966e+07 -2.5803321588998374e+07 -2.5519834897742264e+07 -2.5220871436145283e+07 -2.4913151074801195e+07 -2.4606909849456809e+07 -2.4317367897642259e+07 -2.4066735212821517e+07 -2.3886568407601524e+07 -2.3822023332499590e+07 -2.3937938547116999e+07 -2.4329437981118679e+07 -2.5140627090286087e+07 -2.6599777150104564e+07 -2.9089331288573612e+07 1.7923145002612039e+06 +8.3678729320432785e-02 -8.7859921785101912e+05 -7.6034003182930511e+05 -5.5746935283790168e+05 -2.9498271783254750e+05 -3.9909928455624700e+04 1.0739303272437128e+05 1.0201948833200516e+05 1.8285852847242808e+04 -6.7933234384332143e+04 -1.4144468905761658e+05 -2.1148838517944634e+05 -2.7938168720954278e+05 -3.4329807271683984e+05 -4.0262938019303215e+05 -4.5757831664398807e+05 -5.0783889319046610e+05 -5.5320696828113019e+05 -5.9401132937247842e+05 -6.3071363728694851e+05 -6.6375242360166810e+05 -6.9351440783641930e+05 -7.2007513902663265e+05 -7.4111227676069259e+05 -7.5182190250398812e+05 -7.6106793107796845e+05 -7.7789213984653563e+05 -7.9711501678063907e+05 -8.1545898218651849e+05 -8.3260697446324339e+05 -8.4875962569602369e+05 -8.6416038836824824e+05 -8.7905569598027843e+05 -8.9369582838156400e+05 -9.0833909856374993e+05 -9.2325669282592379e+05 -9.3873787238037947e+05 -9.5509586610414356e+05 -9.7267439378484839e+05 -9.9185526149492979e+05 -1.0130668878123113e+06 -1.0386775852357952e+06 -1.0678857779618748e+06 -1.1014965536240640e+06 -1.1404553485279381e+06 -1.1858824836008823e+06 -1.2391183630870930e+06 -1.3017837943151316e+06 -1.3758615811701613e+06 -1.4638101170172200e+06 -1.5687129199258955e+06 -1.6945276401801771e+06 -1.8463271548321624e+06 -2.0307310331586131e+06 -2.2566604753103983e+06 -2.5360104203059203e+06 -2.8849123391574677e+06 -3.3250669841965362e+06 -3.8852110284275566e+06 -4.6017968026347244e+06 -5.5174951367059415e+06 -6.6758744100024858e+06 -8.1110533863628851e+06 -9.8342317497947868e+06 -1.1821590857600171e+07 -1.4009872910532974e+07 -1.6302808595166931e+07 -1.8586774392437100e+07 -2.0750688979134090e+07 -2.2701275515275311e+07 -2.4374403611389440e+07 -2.5737686088971075e+07 -2.6787285896001291e+07 -2.7544289222325288e+07 -2.8049073736833833e+07 -2.8351732488881852e+07 -2.8507374502680819e+07 -2.8566368256378308e+07 -2.8569192091755487e+07 -2.8543520421612460e+07 -2.8516792438144974e+07 -2.8486563258428521e+07 -2.8454310815334428e+07 -2.8419974798082501e+07 -2.8384373448508047e+07 -2.8346873950873397e+07 -2.8307434130708117e+07 -2.8264499695484765e+07 -2.8218545180253785e+07 -2.8168724049344089e+07 -2.8114374980946641e+07 -2.8054694339080054e+07 -2.7988776748601962e+07 -2.7915589936127815e+07 -2.7833961679555643e+07 -2.7742680994906403e+07 -2.7640330510349177e+07 -2.7525423930677064e+07 -2.7396361836865425e+07 -2.7251494699074857e+07 -2.7089168030405495e+07 -2.6907810662850454e+07 -2.6706399110538390e+07 -2.6483196075498242e+07 -2.6238206905036796e+07 -2.5971998298756350e+07 -2.5686658454907078e+07 -2.5385740669581372e+07 -2.5076008741295241e+07 -2.4767765663258664e+07 -2.4476330845043052e+07 -2.4224059779916983e+07 -2.4042715231264774e+07 -2.3977748276656497e+07 -2.4094421243747454e+07 -2.4488479899626587e+07 -2.5304971745043512e+07 -2.6773660340378143e+07 -2.9279488470757540e+07 1.8140040756200659e+06 +8.4194461261817399e-02 -8.9033861014776991e+05 -7.7220233324373816e+05 -5.6954314368767897e+05 -3.0733287429932225e+05 -5.2532290496186462e+04 9.4608948080936127e+04 8.9233902901977301e+04 5.5823160596481366e+03 -8.0551213162418004e+04 -1.5398992541823428e+05 -2.2396393752319735e+05 -2.9178933414744522e+05 -3.5564172681944218e+05 -4.1491379098501609e+05 -4.6980819511966745e+05 -5.2001948730142275e+05 -5.6534397132273286e+05 -6.0611030412891030e+05 -6.4277988204257784e+05 -6.7579101655635261e+05 -7.0553028895854915e+05 -7.3207345984163100e+05 -7.5310089175263140e+05 -7.6381415975718747e+05 -7.7306912267858500e+05 -7.8989887162636674e+05 -8.0912946724414907e+05 -8.2748731230678712e+05 -8.4465655414914456e+05 -8.6083867303921585e+05 -8.7627810406453197e+05 -8.9122246634330892e+05 -9.0592346159454505e+05 -9.2064109714333713e+05 -9.3564856795266503e+05 -9.5123750669896277e+05 -9.6772393500860699e+05 -9.8545485402312921e+05 -1.0048159227665783e+06 -1.0262400784963837e+06 -1.0521212435645831e+06 -1.0816511438699395e+06 -1.1156441364398268e+06 -1.1550567396112636e+06 -1.2010225873918589e+06 -1.2548981775983062e+06 -1.3183239254764328e+06 -1.3933067471865788e+06 -1.4823350249189234e+06 -1.5885299268581511e+06 -1.7158973745457355e+06 -1.8695718659856867e+06 -2.0562527570610298e+06 -2.2849674278092440e+06 -2.5677492646034816e+06 -2.9209108293517404e+06 -3.3663819957409874e+06 -3.9331731741531659e+06 -4.6580268663710495e+06 -5.5838527370697064e+06 -6.7542989231314110e+06 -8.2032839737275485e+06 -9.9414601474295277e+06 -1.1944158656978859e+07 -1.4147137938895591e+07 -1.6453238539832454e+07 -1.8748229222253229e+07 -2.0920792220515344e+07 -2.2877741966913849e+07 -2.4555273010139171e+07 -2.5921425952248953e+07 -2.6972779176289730e+07 -2.7730770845824629e+07 -2.8236043057102855e+07 -2.8538862988320637e+07 -2.8694464823636096e+07 -2.8753297334497865e+07 -2.8755892633658871e+07 -2.8729957871527459e+07 -2.8703029819570605e+07 -2.8672593068690822e+07 -2.8640126410064034e+07 -2.8605565055087052e+07 -2.8569730925515521e+07 -2.8531986537927072e+07 -2.8492289006197445e+07 -2.8449074206368376e+07 -2.8402819606241498e+07 -2.8352673140245136e+07 -2.8297969167762846e+07 -2.8237898804707356e+07 -2.8171550763618510e+07 -2.8097886080564488e+07 -2.8015724623791199e+07 -2.7923847859490324e+07 -2.7820829005964365e+07 -2.7705172062128305e+07 -2.7575267164309334e+07 -2.7429454010925785e+07 -2.7266067310917716e+07 -2.7083525684959192e+07 -2.6880798718630146e+07 -2.6656138114082571e+07 -2.6409549105163693e+07 -2.6141602092459552e+07 -2.5854398910804283e+07 -2.5551516060465183e+07 -2.5239761509314649e+07 -2.4929505576766171e+07 -2.4636167486752566e+07 -2.4382249036540911e+07 -2.4199720271482155e+07 -2.4134329119423315e+07 -2.4251764003953744e+07 -2.4648395947592124e+07 -2.5470219673984222e+07 -2.6948499231217444e+07 -2.9470690798325013e+07 1.8359531450793557e+06 +8.4713371782006025e-02 -9.0222185021187016e+05 -7.8420836823944526e+05 -5.8176047230057418e+05 -3.1982632642093941e+05 -6.5297711137838691e+04 8.1681932965398926e+04 7.6305368635611725e+04 -7.2642654158824253e+03 -9.3312336381433503e+04 -1.6667839663561096e+05 -2.3658281520154563e+05 -3.0434039824283944e+05 -3.6812889054264210e+05 -4.2734180489816982e+05 -4.8218177213473327e+05 -5.3234387823045568e+05 -5.7762487324745883e+05 -6.1835328580851585e+05 -6.5499025002775830e+05 -6.8797386007710814e+05 -7.1769056191940722e+05 -7.4421633101643133e+05 -7.6523423528874898e+05 -7.7595134690642275e+05 -7.8521548502806528e+05 -8.0205106687915151e+05 -8.2128972615297197e+05 -8.3966185322303104e+05 -8.5685281419894157e+05 -8.7306494966347760e+05 -8.8854369145204662e+05 -9.0353786081005645e+05 -9.1830060052481783e+05 -9.3309363466396660e+05 -9.4819219294122758e+05 -9.6389030991946440e+05 -9.8050683543473470e+05 -9.9839209331463836e+05 -1.0179356437916360e+06 -1.0395749991001470e+06 -1.0657300103629460e+06 -1.0955856188288310e+06 -1.1299655652153417e+06 -1.1698375861445004e+06 -1.2163487919356502e+06 -1.2708719707248001e+06 -1.3350673845990384e+06 -1.4109663546594430e+06 -1.5010876141114261e+06 -1.6085904330168292e+06 -1.7375295783185833e+06 -1.8931018921599926e+06 -2.0820874348619408e+06 -2.3136209524327903e+06 -2.5998757483286234e+06 -2.9573472425315180e+06 -3.4081963466640166e+06 -3.9817088803892769e+06 -4.7149181468616519e+06 -5.6509710898740320e+06 -6.8335908384783939e+06 -8.2964876222951394e+06 -1.0049756271314133e+07 -1.2067868648576438e+07 -1.4285593772766523e+07 -1.6604881329470668e+07 -1.8910896077413596e+07 -2.1092090224296939e+07 -2.3055376452771340e+07 -2.4737280373244494e+07 -2.6106274883821916e+07 -2.7159356527234074e+07 -2.7918316711124435e+07 -2.8424062063848183e+07 -2.8727033183577012e+07 -2.8882588371610936e+07 -2.8941255542162046e+07 -2.8943619601299271e+07 -2.8917419742775317e+07 -2.8890290373899549e+07 -2.8859644852165837e+07 -2.8826962780269865e+07 -2.8792174843245994e+07 -2.8756106653317466e+07 -2.8718116031008180e+07 -2.8678159369816337e+07 -2.8634662665370975e+07 -2.8588106332044788e+07 -2.8537632743918490e+07 -2.8482571917811450e+07 -2.8422109692853540e+07 -2.8355328836617999e+07 -2.8281183658738192e+07 -2.8198486070568986e+07 -2.8106009952225901e+07 -2.8002319058261149e+07 -2.7885907628295448e+07 -2.7755155296703339e+07 -2.7608390930958260e+07 -2.7443938376493294e+07 -2.7260205987310696e+07 -2.7056156378813092e+07 -2.6830030197771013e+07 -2.6581832561921079e+07 -2.6312137593081210e+07 -2.6023060837620791e+07 -2.5718202127407979e+07 -2.5404413842390038e+07 -2.5092133998615753e+07 -2.4796882179481521e+07 -2.4541307294551320e+07 -2.4357587807841305e+07 -2.4291770128791153e+07 -2.4409971116518412e+07 -2.4809190483918451e+07 -2.5636375381342638e+07 -2.7124298588255540e+07 -2.9662943483026873e+07 1.8581647576577361e+06 +8.5235480471336972e-02 -9.1425072750075860e+05 -7.9635991544205439e+05 -5.9412311298890889e+05 -3.3246484745501756e+05 -7.8207968496952308e+04 6.8610210670398417e+04 6.3232107323335658e+04 -2.0255669422281841e+04 -1.0621838154072133e+05 -1.7951187965134476e+05 -2.4934679499073714e+05 -3.1703665602215624e+05 -3.8076134015631687e+05 -4.3991519818019820e+05 -4.9470082403081458e+05 -5.4481384249423665e+05 -5.9005145099228807e+05 -6.3074205187587533e+05 -6.6734651946849283e+05 -7.0030273331462266e+05 -7.2999700707158761e+05 -7.5650553436667030e+05 -7.7751409102023067e+05 -7.8823524984979315e+05 -7.9750880677771999e+05 -8.1435051754113974e+05 -8.3359758935107978e+05 -8.5198440541527933e+05 -8.6919756059548259e+05 -8.8544026805712190e+05 -9.0095897070479766e+05 -9.1600370861479628e+05 -9.3082908507458051e+05 -9.4569856357475254e+05 -9.6088943497856299e+05 -9.7669816652581631e+05 -9.9344647215751652e+05 -1.0114880402178996e+06 -1.0312163809957979e+06 -1.0530736386800543e+06 -1.0795059159850772e+06 -1.1096912820840757e+06 -1.1444629770707225e+06 -1.1848000937598199e+06 -1.2318633839778067e+06 -1.2870421252926630e+06 -1.3520166684140495e+06 -1.4288430355173079e+06 -1.5200706772849641e+06 -1.6288974226558369e+06 -1.7594274646599789e+06 -1.9169207207674140e+06 -2.1082388832696541e+06 -2.3426252619097899e+06 -2.6323945595811629e+06 -2.9942268331146594e+06 -3.4505159538620766e+06 -4.0308248125303434e+06 -4.7724781066650646e+06 -5.7188584306370802e+06 -6.9137590378111526e+06 -8.3906736272351909e+06 -1.0159129526527701e+07 -1.2192730038105987e+07 -1.4425249170635512e+07 -1.6757745129330641e+07 -1.9074782489567388e+07 -2.1264589929915894e+07 -2.3234185407901265e+07 -2.4920431734882262e+07 -2.6292238615553051e+07 -2.7347023461807020e+07 -2.8106932178422298e+07 -2.8613136014641162e+07 -2.8916248266014799e+07 -2.9071750297209956e+07 -2.9130248005324066e+07 -2.9132378105225496e+07 -2.9105911135188539e+07 -2.9078579194606408e+07 -2.9047723696284615e+07 -2.9014825007395297e+07 -2.8979809237839110e+07 -2.8943505700811584e+07 -2.8905267492295898e+07 -2.8865050276680451e+07 -2.8821270119951509e+07 -2.8774410396876317e+07 -2.8723607890694991e+07 -2.8668188251783147e+07 -2.8607332013497174e+07 -2.8540115965865888e+07 -2.8465487655805476e+07 -2.8382250990472525e+07 -2.8289172227417633e+07 -2.8184805603179216e+07 -2.8067635544604115e+07 -2.7936031126450006e+07 -2.7788310325693134e+07 -2.7622786064692833e+07 -2.7437856375099733e+07 -2.7232476860260110e+07 -2.7004877055934723e+07 -2.6755061960873369e+07 -2.6483609438662678e+07 -2.6192648822414067e+07 -2.5885803403793808e+07 -2.5569970218570158e+07 -2.5255655351853475e+07 -2.4958479294192486e+07 -2.4701238879851323e+07 -2.4516322133829843e+07 -2.4450075586683817e+07 -2.4569046884205222e+07 -2.4970867881740533e+07 -2.5803443386042893e+07 -2.7301063192762353e+07 -2.9856251753526401e+07 1.8806419971586182e+06 +8.5760807040888495e-02 -9.2642702735247032e+05 -8.0865875121188955e+05 -6.0663286307626951e+05 -3.4525023626608669e+05 -9.1264861366253332e+04 5.5391979486770491e+04 5.0012318787238692e+04 -3.3393695612111151e+04 -1.1927114765505547e+05 -1.9249217328988103e+05 -2.6225767512257223e+05 -3.2987990568180243e+05 -3.9354087376821833e+05 -4.5263576884489047e+05 -5.0736714888914529e+05 -5.5743117834389349e+05 -6.0262550325589033e+05 -6.4327840157410386e+05 -6.7985049036556226e+05 -7.1277943720771756e+05 -7.4245142656342092e+05 -7.6894287353142910e+05 -7.8994226444344525e+05 -8.0066767635363562e+05 -8.0995089848129102e+05 -8.2679903749052505e+05 -8.4605487466612074e+05 -8.6445679140908096e+05 -8.8169262143127690e+05 -8.9796646290167945e+05 -9.1352578428167221e+05 -9.2862186139218626e+05 -9.4351077767635195e+05 -9.5845775900527637e+05 -9.7374218411197502e+05 -9.8966298407643382e+05 -1.0065447732695317e+06 -1.0247446468996425e+06 -1.0446601147494344e+06 -1.0667380106377853e+06 -1.0934510156223848e+06 -1.1239702383125203e+06 -1.1591385352591970e+06 -1.1999464950466771e+06 -1.2475686781994374e+06 -1.3034110532185002e+06 -1.3691743041086590e+06 -1.4469394537708445e+06 -1.5392870411284049e+06 -1.6494539162955820e+06 -1.7815942856893451e+06 -1.9410318813717952e+06 -2.1347109649135801e+06 -2.3719846193169355e+06 -2.6653104419336887e+06 -3.0315549167268770e+06 -3.4933468015284399e+06 -4.0805277090975279e+06 -4.8307142860504696e+06 -5.7875230747112371e+06 -6.9948124813128524e+06 -8.4858513568697609e+06 -1.0269589382846013e+07 -1.2318752085952729e+07 -1.4566112935541697e+07 -1.6911838140508693e+07 -1.9239896019490536e+07 -2.1438298301129028e+07 -2.3414175288616210e+07 -2.5104733148463998e+07 -2.6479322897364255e+07 -2.7535785510339510e+07 -2.8296622624904569e+07 -2.8803270183808383e+07 -2.9106513443632394e+07 -2.9261955767510932e+07 -2.9320279866419308e+07 -2.9322173272567581e+07 -2.9295437165133487e+07 -2.9267901391603306e+07 -2.9236834704897974e+07 -2.9203718189272311e+07 -2.9168473330500752e+07 -2.9131933153213382e+07 -2.9093446000352610e+07 -2.9052966798213262e+07 -2.9008901633832749e+07 -2.8961736856246557e+07 -2.8910603627130926e+07 -2.8854823206512909e+07 -2.8793570792795431e+07 -2.8725917165676974e+07 -2.8650803073053006e+07 -2.8567024370091010e+07 -2.8473339655251224e+07 -2.8368293592671748e+07 -2.8250360742439110e+07 -2.8117899561750542e+07 -2.7969217077442035e+07 -2.7802615228743710e+07 -2.7616481669018459e+07 -2.7409764947543737e+07 -2.7180683433146156e+07 -2.6929242002738703e+07 -2.6656022282206696e+07 -2.6363167467125636e+07 -2.6054324437565230e+07 -2.5736435130337846e+07 -2.5420074073743839e+07 -2.5120963215931356e+07 -2.4862048132284250e+07 -2.4675927556804731e+07 -2.4609249788869403e+07 -2.4728995623648718e+07 -2.5133432528324720e+07 -2.5971428221600879e+07 -2.7478797841350526e+07 -3.0050620855421357e+07 1.9033879825472941e+06 +8.6289371323222896e-02 -9.3875256310394232e+05 -8.2110670668931736e+05 -6.1929153411830263e+05 -3.5818431391038612e+05 -1.0447021098404133e+05 4.2025417760047043e+04 3.6644180807640492e+04 -4.6680165475544047e+04 -1.3247245609596890e+05 -2.0562109828041462e+05 -2.7531727575635607e+05 -3.4287196711864357e+05 -4.0646931146938022e+05 -4.6550533690631576e+05 -5.2018256677089725e+05 -5.7019770604876988e+05 -6.1534885076110228e+05 -6.5596415618821047e+05 -6.9250398475634702e+05 -7.2540579474368808e+05 -7.5505564460578689e+05 -7.8153017423849565e+05 -8.0252058316251438e+05 -8.1325045631767681e+05 -8.2254359285705513e+05 -8.3939846280991880e+05 -8.5866342217977624e+05 -8.7708085603643768e+05 -8.9433984717815404e+05 -9.1064539133485325e+05 -9.2624599719939346e+05 -9.4139419344454899e+05 -9.5634756356626970e+05 -9.7137311904638563e+05 -9.8675235352935269e+05 -1.0027866934793656e+06 -1.0198036904666061e+06 -1.0381638894209777e+06 -1.0582688496572969e+06 -1.0805701530056882e+06 -1.1075673896088782e+06 -1.1384246179284102e+06 -1.1739944294806728e+06 -1.2152790498793614e+06 -1.2634670175530345e+06 -1.3199811958613431e+06 -1.3865428496953694e+06 -1.4652583058879278e+06 -1.5587395667262189e+06 -1.6702629711530949e+06 -1.8040333329463776e+06 -1.9654389461848382e+06 -2.1615075888865720e+06 -2.4017033386582360e+06 -2.6986281950505055e+06 -3.0693368708725739e+06 -3.5366949418535102e+06 -4.1308243824423174e+06 -4.8896343036689525e+06 -5.8569734178510094e+06 -7.0767602080422891e+06 -8.5820302530237865e+06 -1.0381145374982812e+07 -1.2445944107185150e+07 -1.4708193915131876e+07 -1.7067168599892803e+07 -1.9406244256848242e+07 -2.1613222325805839e+07 -2.3595352572110813e+07 -2.5290190686469804e+07 -2.6667533497096259e+07 -2.7725648220400840e+07 -2.8487393444617912e+07 -2.8994469862408444e+07 -2.9297833941045333e+07 -2.9453209966123272e+07 -2.9511356284316037e+07 -2.9513010246715628e+07 -2.9486002965286501e+07 -2.9458262091153897e+07 -2.9426982998185713e+07 -2.9393647440082770e+07 -2.9358172229095485e+07 -2.9321394111990176e+07 -2.9282656649859939e+07 -2.9241914022054106e+07 -2.9197562286951147e+07 -2.9150090781816982e+07 -2.9098625015942216e+07 -2.9042481834909286e+07 -2.8980831072986633e+07 -2.8912737466444645e+07 -2.8837134927691177e+07 -2.8752811211925991e+07 -2.8658517221880440e+07 -2.8552787994437881e+07 -2.8434088168827441e+07 -2.8300765526509929e+07 -2.8151116084008001e+07 -2.7983430737254299e+07 -2.7796086705192316e+07 -2.7588025440545887e+07 -2.7357454089145295e+07 -2.7104377403239250e+07 -2.6829380791634262e+07 -2.6534621388320707e+07 -2.6223769791299880e+07 -2.5903813084555067e+07 -2.5585394615766164e+07 -2.5284338343742147e+07 -2.5023739405546617e+07 -2.4836408397910554e+07 -2.4769297044796605e+07 -2.4889821665311955e+07 -2.5296888824905518e+07 -2.6140334436057247e+07 -2.7657507346020240e+07 -3.0246056051072851e+07 1.9264058683318668e+06 +8.6821193273135283e-02 -9.5122918166243110e+05 -8.3370562265521020e+05 -6.3210096638411831e+05 -3.7126891366708890e+05 -1.1782586066148384e+05 2.8508681621964832e+04 2.3125849025092954e+04 -6.0116922708191378e+04 -1.4582414995916412e+05 -2.1890049751485712e+05 -2.8852743940100510e+05 -3.5601468241236301e+05 -4.1954849548871955e+05 -4.7852574459848774e+05 -5.3314891997835774e+05 -5.8311526817539625e+05 -6.2822333651576587e+05 -6.6880115930493770e+05 -7.0530884698036348e+05 -7.3818365123200847e+05 -7.6781150773896475e+05 -7.9426928456877870e+05 -8.1525089715328137e+05 -8.2598544204130012e+05 -8.3528874505688238e+05 -8.5215065205293347e+05 -8.7142509448839060e+05 -8.8985846670704847e+05 -9.0714111095398455e+05 -9.2347893322777527e+05 -9.3912149730223161e+05 -9.5432260201749578e+05 -9.6934135105550115e+05 -9.8444656502111640e+05 -9.9992187983868422e+05 -1.0160712492776674e+06 -1.0332251993304600e+06 -1.0517477680218280e+06 -1.0720446148546878e+06 -1.0945721287500130e+06 -1.1218571437212033e+06 -1.1530565773963651e+06 -1.1890328761980408e+06 -1.2308000457420594e+06 -1.2795607736048102e+06 -1.3367550243759244e+06 -1.4041248943844889e+06 -1.4838023211932986e+06 -1.5784311499778661e+06 -1.6913276815812550e+06 -1.8267479378643627e+06 -1.9901455305675471e+06 -2.1886327112786984e+06 -2.4317857854591366e+06 -2.7323526753162709e+06 -3.1075781355982930e+06 -3.5805664957276527e+06 -4.1817217194591179e+06 -4.9492458572440911e+06 -5.9272179368457384e+06 -7.1596113364213640e+06 -8.6792198312972952e+06 -1.0493807102714207e+07 -1.2574315471614514e+07 -1.4851501001501447e+07 -1.7223744780015003e+07 -1.9573834820217181e+07 -2.1789369015887566e+07 -2.3777723756542120e+07 -2.5476810440299608e+07 -2.6856876200399406e+07 -2.7916617156703770e+07 -2.8679250048371121e+07 -2.9186740357986808e+07 -2.9490214999271113e+07 -2.9645518093014926e+07 -2.9703482434185229e+07 -2.9704894187394448e+07 -2.9677613684563152e+07 -2.9649666435683798e+07 -2.9618173712473880e+07 -2.9584617890112285e+07 -2.9548911057698194e+07 -2.9511893694791622e+07 -2.9472904551791765e+07 -2.9431897051903464e+07 -2.9387257175260082e+07 -2.9339477261264607e+07 -2.9287677135861062e+07 -2.9231169205961093e+07 -2.9169117912185531e+07 -2.9100581914442617e+07 -2.9024488252837021e+07 -2.8939616534367200e+07 -2.8844709929195352e+07 -2.8738293791910477e+07 -2.8618822786533348e+07 -2.8484633960166015e+07 -2.8334012258738484e+07 -2.8165237474338241e+07 -2.7976676334986791e+07 -2.7767263154279891e+07 -2.7535193798747733e+07 -2.7280472893027179e+07 -2.7003689649517369e+07 -2.6707015217216045e+07 -2.6394144041907024e+07 -2.6072108602326255e+07 -2.5751621443468302e+07 -2.5448609090585779e+07 -2.5186317067150582e+07 -2.4997768991961084e+07 -2.4930221677589063e+07 -2.5051529353321325e+07 -2.5461241186686751e+07 -2.6310166591746226e+07 -2.7837196533974379e+07 -3.0442562619454514e+07 1.9496988449478224e+06 +8.7356292968406940e-02 -9.6385872802809952e+05 -8.4645733792969771e+05 -6.4506302868297196e+05 -3.8450590556266700e+05 -1.3133367666135560e+05 1.4839903343379701e+04 9.4554566797407897e+03 -7.3705833698085306e+04 -1.5932809496524368e+05 -2.3233223631380434e+05 -3.0189003121560812e+05 -3.6930991647170199e+05 -4.3278029047624650e+05 -4.9169885661072336e+05 -5.4626807333252602e+05 -5.9618572986378917e+05 -6.4125082607349299e+05 -6.8179127707382664e+05 -7.1826694394723105e+05 -7.5111487457373890e+05 -7.8072088511074695e+05 -8.0716207523000822e+05 -8.2813507903187396e+05 -8.3887450848985498e+05 -8.4818823292934126e+05 -8.6505748651400709e+05 -8.8434177698043361e+05 -9.0279151367852336e+05 -9.2009830879535794e+05 -9.3646899145389150e+05 -9.5215419553754665e+05 -9.6740900757936959e+05 -9.8249407181449339e+05 -9.9768004176975496e+05 -1.0132527233494690e+06 -1.0295186299381647e+06 -1.0468112996189903e+06 -1.0654983074204873e+06 -1.0859894642969111e+06 -1.1087460260710604e+06 -1.1363224094877110e+06 -1.1678682995448492e+06 -1.2042561189634786e+06 -1.2465117980636077e+06 -1.2958523468770506e+06 -1.3537350400713410e+06 -1.4219230589533204e+06 -1.5025742622560249e+06 -1.5983647220110977e+06 -1.7126511795132102e+06 -1.8497414722326593e+06 -2.0151552935420470e+06 -2.2160903357307212e+06 -2.4622363773487909e+06 -2.7664887964816010e+06 -3.1462842141903238e+06 -3.6249676534418287e+06 -4.2332266823068671e+06 -5.0095567242361782e+06 -5.9982651900897091e+06 -7.2433750647059754e+06 -8.7774296814141441e+06 -1.0607584231075989e+07 -1.2703875603826877e+07 -1.4996043131229715e+07 -1.7381574988962878e+07 -1.9742675356862079e+07 -2.1966745407199200e+07 -2.3961295360814229e+07 -2.5664598520173274e+07 -2.7047356810568441e+07 -2.8108697900974430e+07 -2.8872197863649286e+07 -2.9380086994557381e+07 -2.9683661875551835e+07 -2.9838885364314981e+07 -2.9896663507353846e+07 -2.9897830270460322e+07 -2.9870274488022175e+07 -2.9842119583775561e+07 -2.9810412000212230e+07 -2.9776634685701154e+07 -2.9740694956381593e+07 -2.9703437035236221e+07 -2.9664194832947757e+07 -2.9622921007435899e+07 -2.9577991410685234e+07 -2.9529901398225032e+07 -2.9477765081512913e+07 -2.9420890404388763e+07 -2.9358436384418137e+07 -2.9289455571749784e+07 -2.9212868097374994e+07 -2.9127445371379212e+07 -2.9031922794752825e+07 -2.8924815984124258e+07 -2.8804569573811598e+07 -2.8669509817664273e+07 -2.8517910530391261e+07 -2.8348040339358937e+07 -2.8158255425033160e+07 -2.7947482918894369e+07 -2.7713907351717453e+07 -2.7457533217520177e+07 -2.7178953553237561e+07 -2.6880353599485151e+07 -2.6565451780666515e+07 -2.6241326218930308e+07 -2.5918759036379877e+07 -2.5613779883236218e+07 -2.5349785498236954e+07 -2.5160013687280461e+07 -2.5092028023844708e+07 -2.5214123045398399e+07 -2.5626494042642836e+07 -2.6480929265361570e+07 -2.8017870247478552e+07 -3.0640145856085189e+07 1.9732701391464544e+06 +8.7894690610563278e-02 -9.7664310670518491e+05 -8.5936375935623446e+05 -6.5817959728139406e+05 -3.9789717196411191e+05 -1.4499554762749109e+05 1.0171938305736912e+03 -4.3688860379617654e+03 -8.7448787684172014e+04 -1.7298617959399393e+05 -2.4591820282738958e+05 -3.1540693925818824e+05 -3.8275955726994132e+05 -4.4616658389150118e+05 -5.0502656037894078e+05 -5.5954191447378020e+05 -6.0941097908263770e+05 -6.5443320780139486e+05 -6.9493639846992632e+05 -7.3138016541104170e+05 -7.6420135553338111e+05 -7.9378566874430655e+05 -8.2021043982300407e+05 -8.4117502432279289e+05 -8.5191955357065913e+05 -8.6124395729633584e+05 -8.7812087049986387e+05 -8.9741537810280337e+05 -9.1588191032987670e+05 -9.3321335993530985e+05 -9.4961749216814805e+05 -9.6534602623795671e+05 -9.8065535409904551e+05 -9.9580768115266971e+05 -1.0110755179341095e+06 -1.0267468683608930e+06 -1.0431308381334831e+06 -1.0605640155557524e+06 -1.0794175571030520e+06 -1.1001054770647394e+06 -1.1230939587051785e+06 -1.1509653444975698e+06 -1.1828619938828789e+06 -1.2196664287447087e+06 -1.2624166505555757e+06 -1.3123441671978929e+06 -1.3709237747734487e+06 -1.4399399961311501e+06 -1.5215769252840600e+06 -1.6185432496014843e+06 -1.7342366349015920e+06 -1.8730173486840739e+06 -2.0404719383004599e+06 -2.2438845139892134e+06 -2.4930595846638335e+06 -2.8010415303046368e+06 -3.1854606738451109e+06 -3.6699046754257414e+06 -4.2853463091165489e+06 -5.0705747625445314e+06 -6.0701238181781648e+06 -7.3280606714388225e+06 -8.8766694675148521e+06 -1.0722486490473624e+07 -1.2834633983208433e+07 -1.5141829285238162e+07 -1.7540667570279382e+07 -1.9912773542611737e+07 -2.2145358559301563e+07 -2.4146073924409345e+07 -2.5853561054971140e+07 -2.7238981148466721e+07 -2.8301896051858436e+07 -2.9066242334463675e+07 -2.9574515112455629e+07 -2.9878179843429528e+07 -3.0033317012341723e+07 -3.0090904711219650e+07 -3.0091823687790692e+07 -3.0063990556656267e+07 -3.0035626709950648e+07 -3.0003703029803365e+07 -2.9969702989204962e+07 -2.9933529081180893e+07 -2.9896029282851487e+07 -2.9856532636088274e+07 -2.9814991024239711e+07 -2.9769770120996315e+07 -2.9721368312138814e+07 -2.9668893963250555e+07 -2.9611650530776232e+07 -2.9548791579401884e+07 -2.9479363516104180e+07 -2.9402279525773268e+07 -2.9316302772708781e+07 -2.9220160851625614e+07 -2.9112359585649095e+07 -2.8991333524320204e+07 -2.8855398069251385e+07 -2.8702815842917103e+07 -2.8531844246857785e+07 -2.8340828856962018e+07 -2.8128689579430424e+07 -2.7893599552598294e+07 -2.7635563136861280e+07 -2.7355177214597229e+07 -2.7054641195241943e+07 -2.6737697613094881e+07 -2.6411470483653862e+07 -2.6086811887889415e+07 -2.5779855162210479e+07 -2.5514149093537971e+07 -2.5323146845704652e+07 -2.5254720433625858e+07 -2.5377607112798780e+07 -2.5792651835503854e+07 -2.6652627047736399e+07 -2.8199533343889553e+07 -3.0838811072863214e+07 1.9971230143870288e+06 +8.8436406525636543e-02 -9.8958420074648783e+05 -8.7242678607052460e+05 -6.7145258715620893e+05 -4.1144463229054969e+05 -1.5881338427338577e+05 -1.2961359900352696e+04 -1.8349091788158134e+04 -1.0134769651182453e+05 -1.8680031526593980e+05 -2.5966030844389627e+05 -3.2908007453192142e+05 -3.9636551574830606e+05 -4.5970928637483466e+05 -5.1851076643663575e+05 -5.7297235416127718e+05 -6.2279292688071320e+05 -6.6777239315027220e+05 -7.0823843556268269e+05 -7.4465042424408905e+05 -7.7744500801752496e+05 -8.0700777382405393e+05 -8.3341629512099118e+05 -8.5437265173647949e+05 -8.6512249840074719e+05 -8.7445784222621121e+05 -8.9134273160282488e+05 -9.1064782963994774e+05 -9.2913159344058647e+05 -9.4648820708100090e+05 -9.6292638509088103e+05 -9.7869894740187447e+05 -9.9406360933033831e+05 -1.0092841583050619e+06 -1.0246349862445632e+06 -1.0404063234507936e+06 -1.0569099010407662e+06 -1.0744853961305881e+06 -1.0935075916254192e+06 -1.1143947576675075e+06 -1.1376180662380820e+06 -1.1657881327178103e+06 -1.1980398969236175e+06 -1.2352661042522881e+06 -1.2785169755485340e+06 -1.3290386940540783e+06 -1.3883237911921258e+06 -1.4581783909783077e+06 -1.5408131405345371e+06 -1.6389697355998557e+06 -1.7560872561790396e+06 -1.8965790211704157e+06 -2.0660992127247280e+06 -2.2720193464583312e+06 -2.5242599310503718e+06 -2.8360159071978033e+06 -3.2251131463721208e+06 -3.7153838929528464e+06 -4.3380877147322455e+06 -5.1323079111780403e+06 -6.1428025445376588e+06 -7.4136775159121435e+06 -8.9769489284697752e+06 -1.0838523676876612e+07 -1.2966600143944005e+07 -1.5288868488818053e+07 -1.7701030902851038e+07 -2.0084137081731100e+07 -2.2325215555395618e+07 -2.4332066007263809e+07 -2.6043704192128867e+07 -2.7431755052326180e+07 -2.8496217224712994e+07 -2.9261388921152342e+07 -2.9770030068142667e+07 -3.0073774192463152e+07 -3.0228818285330094e+07 -3.0286211269103754e+07 -3.0286879647116080e+07 -3.0258767087355748e+07 -3.0230193004566040e+07 -3.0198051985433836e+07 -3.0163827978707243e+07 -3.0127418603883851e+07 -3.0089675602936074e+07 -3.0049923119716082e+07 -3.0008112253536630e+07 -2.9962598449673083e+07 -2.9913883138106741e+07 -2.9861068907128897e+07 -2.9803454701241121e+07 -2.9740188602453329e+07 -2.9670310840866633e+07 -2.9592727618015569e+07 -2.9506193803421725e+07 -2.9409429148309328e+07 -2.9300929626325831e+07 -2.9179119647074744e+07 -2.9042303700438228e+07 -2.8888733155470256e+07 -2.8716654126453143e+07 -2.8524401527369354e+07 -2.8310887995828588e+07 -2.8074275220730975e+07 -2.7814567425793190e+07 -2.7532365359872885e+07 -2.7229882678857040e+07 -2.6910886158760820e+07 -2.6582545959719285e+07 -2.6255784505192425e+07 -2.5946839381591212e+07 -2.5679412261263292e+07 -2.5487172842452552e+07 -2.5418303270330921e+07 -2.5541985940124184e+07 -2.5959719021615140e+07 -2.6825264543778569e+07 -2.8382190695351385e+07 -3.1038563597988602e+07 2.0212607712328215e+06 +8.8981461164933134e-02 -1.0026839564568667e+06 -8.8564833798262663e+05 -6.8488392420006043e+05 -4.2515020589388406e+05 -1.7278912185306806e+05 -2.7097693984855599e+04 -3.2487096593032911e+04 -1.1540449575438810e+05 -2.0077243747166067e+05 -2.7356048794331186e+05 -3.4291137120294746e+05 -4.1012972588637902e+05 -4.7341033199471916e+05 -5.3215340877132281e+05 -5.8656132655555685e+05 -6.3633350764926255e+05 -6.8127031693498173e+05 -7.2169932379255351e+05 -7.5807965671724081e+05 -7.9084776935214293e+05 -8.2038913897096820e+05 -8.4678158134468854e+05 -8.6772990344133170e+05 -8.7848528758626513e+05 -8.8783183530561533e+05 -9.0472502098012867e+05 -9.2404108699363796e+05 -9.4254252346875949e+05 -9.5992481669825281e+05 -9.7639764378662710e+05 -9.9221494097797642e+05 -1.0076357651015853e+06 -1.0229255067214910e+06 -1.0383604638095375e+06 -1.0542331217701116e+06 -1.0708578706340138e+06 -1.0885775153948306e+06 -1.1077705109162896e+06 -1.1288594363483870e+06 -1.1523205144112832e+06 -1.1807929848084957e+06 -1.2134042725081199e+06 -1.2510574722776564e+06 -1.2948151743414560e+06 -1.3459384169475455e+06 -1.4059376832896124e+06 -1.4766409612743116e+06 -1.5602857727185816e+06 -1.6596472193621944e+06 -1.7782062907098122e+06 -1.9204299854602877e+06 -2.0920409099148537e+06 -2.3004989827743000e+06 -2.5558419940766483e+06 -2.8714170168887745e+06 -3.2652473288890366e+06 -3.7614117088727243e+06 -4.3914580914334273e+06 -5.1947641909602843e+06 -6.2163101759956768e+06 -7.5002350386695554e+06 -9.0782778781770281e+06 -1.0955705651928380e+07 -1.3099783675096240e+07 -1.5437169811461607e+07 -1.7862673400748763e+07 -2.0256773706794281e+07 -2.2506323502100758e+07 -2.4519278189677726e+07 -2.6235034097445145e+07 -2.7625684377650965e+07 -2.8691667051552575e+07 -2.9457643100399047e+07 -2.9966637234190270e+07 -3.0270450228082415e+07 -3.0425394447416771e+07 -3.0482588420166038e+07 -3.0483003372009452e+07 -3.0454609292784560e+07 -3.0425823673759542e+07 -3.0393464067042157e+07 -3.0359014848034229e+07 -3.0322368711934958e+07 -3.0284381176470399e+07 -3.0244371457959987e+07 -3.0202289862238139e+07 -3.0156481555721886e+07 -3.0107451026774406e+07 -3.0054295054744195e+07 -2.9996308047481913e+07 -2.9932632574289117e+07 -2.9862302654701121e+07 -2.9784217469555821e+07 -2.9697123543991413e+07 -2.9599732748608749e+07 -2.9490531151303902e+07 -2.9367932966164164e+07 -2.9230231711808074e+07 -2.9075667442217752e+07 -2.8902474922635276e+07 -2.8708978347739402e+07 -2.8494083042738024e+07 -2.8255939189995240e+07 -2.7994550873485252e+07 -2.7710522729674116e+07 -2.7406082738787539e+07 -2.7085022051279668e+07 -2.6754557224238500e+07 -2.6425681409104135e+07 -2.6114737008974656e+07 -2.5845579422932010e+07 -2.5652096065945532e+07 -2.5582780910578873e+07 -2.5707263925311085e+07 -2.6127700070785634e+07 -2.6998846372361284e+07 -2.8565847188818865e+07 -3.1239408775788933e+07 2.0456867477509831e+06 +8.9529875105805748e-02 -1.0159443126245757e+06 -8.9903038000497862e+05 -6.9847556165422162e+05 -4.3901586870647984e+05 -1.8692471882753272e+05 -4.1393767903868305e+04 -4.6784860501631279e+04 -1.2962114528916661e+05 -2.1490450542195319e+05 -2.8762069928070361e+05 -3.5690278705523722e+05 -4.2405414516850142e+05 -4.8727167841580400e+05 -5.4595644512429496e+05 -6.0031078947529593e+05 -6.5003467940660182e+05 -6.9492893762030557e+05 -7.3532102225626283e+05 -7.7166982277677185e+05 -8.0441160055968608e+05 -8.3393172652054764e+05 -8.6030826243836957e+05 -8.8124874534586270e+05 -8.9200988950052264e+05 -9.0136790792379517e+05 -9.1826971362957126e+05 -9.3759712945844990e+05 -9.5611668483844749e+05 -9.7352517929173529e+05 -9.9003326595755713e+05 -1.0058960131579252e+06 -1.0213738376045539e+06 -1.0367337543603578e+06 -1.0522539924147802e+06 -1.0682293213409700e+06 -1.0849768239874688e+06 -1.1028424727639009e+06 -1.1222084405804351e+06 -1.1435016693931303e+06 -1.1672034954412291e+06 -1.1959821384475159e+06 -1.2289574121375778e+06 -1.2670428880276603e+06 -1.3113136775483477e+06 -1.3630458557540278e+06 -1.4237680766610596e+06 -1.4953304579104886e+06 -1.5799977214111143e+06 -1.6805787771841770e+06 -1.8005970252600187e+06 -1.9445737796238728e+06 -2.1183008687173342e+06 -2.3293276223707157e+06 -2.5878104058493925e+06 -2.9072500090828110e+06 -3.3058689845314664e+06 -3.8079945983568598e+06 -4.4454647096632291e+06 -5.2579517052096250e+06 -6.2906556033941125e+06 -7.5877427619103696e+06 -9.1806662058842983e+06 -1.1074042343126526e+07 -1.3234194220552439e+07 -1.5586742366831144e+07 -1.8025603513104141e+07 -2.0430691178506579e+07 -2.2688689529341713e+07 -2.4707717072068673e+07 -2.6427556954986893e+07 -2.7820774997086219e+07 -2.8888251180848293e+07 -2.9655010364913788e+07 -3.0164341999064829e+07 -3.0468213271625478e+07 -3.0623050778435968e+07 -3.0680041419208314e+07 -3.0680200101622932e+07 -3.0651522401185833e+07 -3.0622523939192664e+07 -3.0589944490146540e+07 -3.0555268806567673e+07 -3.0518384608390782e+07 -3.0480151199959550e+07 -3.0439882840444330e+07 -3.0397529032735895e+07 -3.0351424613702718e+07 -3.0302077144255269e+07 -3.0248577563055836e+07 -3.0190215716516759e+07 -3.0126128631074533e+07 -3.0055344081736721e+07 -2.9976754191058740e+07 -2.9889097090050597e+07 -2.9791076731527217e+07 -2.9681169220800791e+07 -2.9557778520843808e+07 -2.9419187118929543e+07 -2.9263623692192268e+07 -2.9089311594782684e+07 -2.8894564244210705e+07 -2.8678279609379798e+07 -2.8438596308807924e+07 -2.8175518283478640e+07 -2.7889654078831222e+07 -2.7583246077642735e+07 -2.7260109938135568e+07 -2.6927508867957793e+07 -2.6596507133959401e+07 -2.6283552525293272e+07 -2.6012655013318621e+07 -2.5817920917786937e+07 -2.5748157744062215e+07 -2.5873445479398135e+07 -2.6296599466254596e+07 -2.7173377166143704e+07 -2.8750507725894149e+07 -3.1441351966600519e+07 2.0704043199162937e+06 +9.0081669052430188e-02 -1.0293672528821324e+06 -9.1257488190939242e+05 -7.1222949249236588e+05 -4.5304358191134228e+05 -2.0122216073003260e+05 -5.5851565748494126e+04 -6.1244366784521771e+04 -1.4399962807344113e+05 -2.2919850122636923e+05 -3.0184292465163197e+05 -3.7105630394071137e+05 -4.3814075516165211e+05 -5.0129530712587602e+05 -5.5992185720898758e+05 -6.1422272464913724e+05 -6.6389842410699150e+05 -7.0875023761092848e+05 -7.4910551400049741e+05 -7.8542290633152856e+05 -8.1813848664086068e+05 -8.4763752280608483e+05 -8.7399832635491143e+05 -8.9493116737486317e+05 -9.0569829656090750e+05 -9.1506805554948258e+05 -9.3197880867427913e+05 -9.5131796051622659e+05 -9.6985608622305642e+05 -9.8729130970272445e+05 -1.0038352737278369e+06 -1.0197441946673262e+06 -1.0352798676909904e+06 -1.0507109539829455e+06 -1.0663176388164097e+06 -1.0823970053525970e+06 -1.0992688635742080e+06 -1.1172823933273954e+06 -1.1368235322140171e+06 -1.1583236394507803e+06 -1.1822692283369314e+06 -1.2113578586537007e+06 -1.2447016353029518e+06 -1.2832247354718847e+06 -1.3280149454493835e+06 -1.3803635610913818e+06 -1.4418176289063524e+06 -1.5142496652886653e+06 -1.5999519214703443e+06 -1.7017675227432689e+06 -1.8232627864553130e+06 -1.9690139845395437e+06 -2.1448829742617556e+06 -2.3585095150669101e+06 -2.6201698536354438e+06 -2.9435200941336588e+06 -3.3469839431597218e+06 -3.8551391096146731e+06 -4.5001149187836014e+06 -5.3218786404488571e+06 -6.3658478021713905e+06 -7.6762102899943804e+06 -9.2841238764518630e+06 -1.1193543743930452e+07 -1.3369841479072390e+07 -1.5737595312716788e+07 -1.8189829724044416e+07 -2.0605897285527091e+07 -2.2872320790191505e+07 -2.4897389274874467e+07 -2.6621278966900565e+07 -2.8017032800199900e+07 -2.9085975277423225e+07 -2.9853496223494135e+07 -3.0363149767005384e+07 -3.0667068659951746e+07 -3.0821792573808581e+07 -3.0878575536581788e+07 -3.0878475090686932e+07 -3.0849511656288903e+07 -3.0820299038016804e+07 -3.0787498485675108e+07 -3.0752595079047512e+07 -3.0715471511668473e+07 -3.0676990885193996e+07 -3.0636462472200055e+07 -3.0593834962671369e+07 -3.0547432813412949e+07 -3.0497766671917800e+07 -3.0443921604326211e+07 -3.0385182870619353e+07 -3.0320681924112502e+07 -3.0249440261152282e+07 -3.0170342908298541e+07 -3.0082119552406270e+07 -2.9983466191037264e+07 -2.9872848910025507e+07 -2.9748661365214776e+07 -2.9609174952258725e+07 -2.9452606909243159e+07 -2.9277169116922766e+07 -2.9081164157524493e+07 -2.8863482599482916e+07 -2.8622251439858038e+07 -2.8357474473509502e+07 -2.8069764176190190e+07 -2.7761377411936689e+07 -2.7436154480563793e+07 -2.7101405495248634e+07 -2.6768266227585264e+07 -2.6453290424840197e+07 -2.6180643480389033e+07 -2.5984651812586546e+07 -2.5914438173503041e+07 -2.6040535026561122e+07 -2.6466421704495378e+07 -2.7348861571574159e+07 -2.8936177222640615e+07 -3.1644398546625357e+07 2.0954169020188323e+06 +9.0636863836587034e-02 -1.0429547801852939e+06 -9.2628385346961359e+05 -7.2614770620243950e+05 -4.6723535987584130e+05 -2.1568345083499228e+05 -7.0473094883023703e+04 -7.5867623096110052e+04 -1.5854195061809375e+05 -2.4365643146323948e+05 -3.1622917056207784e+05 -3.8537392811225948e+05 -4.5239156183335825e+05 -5.1548322376845614e+05 -5.7405165087982523e+05 -6.2829913799215469e+05 -6.7792674795418594e+05 -7.2273622354786575e+05 -7.6305480632064911e+05 -7.9934091554027307e+05 -8.3203043685737601e+05 -8.6150853843548300e+05 -8.8785378533260513e+05 -9.0877918375859642e+05 -9.1955252551414364e+05 -9.2893429801362730e+05 -9.4585432964778680e+05 -9.6520560811470682e+05 -9.8376276084020932e+05 -1.0012252473954333e+06 -1.0178057139483416e+06 -1.0337615410615677e+06 -1.0493559211687685e+06 -1.0648591834536546e+06 -1.0805534950463022e+06 -1.0967382824700819e+06 -1.1137361175764541e+06 -1.1318994281536774e+06 -1.1516179637127584e+06 -1.1733275558429584e+06 -1.1975199592260560e+06 -1.2269224381181258e+06 -1.2606392898250499e+06 -1.2996054276828417e+06 -1.3449214683490661e+06 -1.3978941146878661e+06 -1.4600890300235108e+06 -1.5334014017189143e+06 -1.6201513434583726e+06 -1.7232166075417590e+06 -1.8462069412615092e+06 -1.9937542243952833e+06 -2.1717911585030421e+06 -2.3880489616368720e+06 -2.6529250804950907e+06 -2.9802325437167590e+06 -3.3885981020850958e+06 -3.9028518646713048e+06 -4.5554161478085797e+06 -5.3865532670869846e+06 -6.4418958330062013e+06 -7.7656473098817766e+06 -9.3886609306491334e+06 -1.1314219913881026e+07 -1.3506735204251919e+07 -1.5889737850866510e+07 -1.8355360552450962e+07 -2.0782399844391149e+07 -2.3057224460715555e+07 -2.5088301438365821e+07 -2.6816206353261389e+07 -2.8214463693466272e+07 -2.9284845022312056e+07 -3.0053106200696167e+07 -3.0563065957909305e+07 -3.0867021745592937e+07 -3.1021625144400243e+07 -3.1078196058037192e+07 -3.1077833609210897e+07 -3.1048582317156944e+07 -3.1019154222755712e+07 -3.0986131299877640e+07 -3.0950998905620430e+07 -3.0913634655413143e+07 -3.0874905459344711e+07 -3.0834115573377356e+07 -3.0791212865019899e+07 -3.0744511359834388e+07 -3.0694524806373034e+07 -3.0640332365939237e+07 -3.0581214687124398e+07 -3.0516297619749803e+07 -3.0444596347183574e+07 -3.0364988762086477e+07 -3.0276196056792118e+07 -3.0176906236045729e+07 -3.0065575309061047e+07 -2.9940586568185277e+07 -2.9800200256927140e+07 -2.9642622111827068e+07 -2.9466052477594875e+07 -2.9268783042894747e+07 -2.9049696931081101e+07 -2.8806909460127473e+07 -2.8540424275481399e+07 -2.8250857804577615e+07 -2.7940481471908916e+07 -2.7613160353421744e+07 -2.7276251723969549e+07 -2.6940963251045443e+07 -2.6623955214934491e+07 -2.6349549285022922e+07 -2.6152293177912075e+07 -2.6081626614522398e+07 -2.6208537003879189e+07 -2.6637171295186386e+07 -2.7525304248608425e+07 -2.9122860609584700e+07 -3.1848553907832362e+07 2.1207279470756184e+06 +9.1195480418448077e-02 -1.0567089052881470e+06 -9.4015931115697254e+05 -7.4023222669156233e+05 -4.8159323101972323e+05 -2.3031062082879376e+05 -8.5260387797188669e+04 -9.0656662072539708e+04 -1.7325014514475723e+05 -2.5828032716147255e+05 -3.3078146767270006e+05 -3.9985769037442131e+05 -4.6680859569569421e+05 -5.2983745852606150e+05 -5.8834785634767788e+05 -6.4254205991381698e+05 -6.9212168170270615e+05 -7.3688892660469783e+05 -7.7717093105731893e+05 -8.1342588310050301e+05 -8.4608948501233559e+05 -8.7554680857143982e+05 -9.0187667617825256e+05 -9.2279483331034309e+05 -9.3357461771520204e+05 -9.4296867979459325e+05 -9.5989832478202286e+05 -9.7926212496739940e+05 -9.9783876674416207e+05 -1.0153290567581716e+06 -1.0319466584842955e+06 -1.0479501330272896e+06 -1.0636040891030696e+06 -1.0791805460455534e+06 -1.0949636787153820e+06 -1.1112552871395212e+06 -1.1283807401930678e+06 -1.1466957546064286e+06 -1.1665939395920231e+06 -1.1885156548934393e+06 -1.2129579616744763e+06 -1.2426781975360296e+06 -1.2767727521937648e+06 -1.3161874071916298e+06 -1.3620357669384649e+06 -1.4156401297546793e+06 -1.4785850027877931e+06 -1.5527885198288094e+06 -1.6405989940685288e+06 -1.7449292213611582e+06 -1.8694328974628916e+06 -2.0187981672051456e+06 -2.1990294007706749e+06 -2.4179503144135247e+06 -2.6860808859115983e+06 -3.0173926915172376e+06 -3.4307174267818043e+06 -3.9511395600890056e+06 -4.6113759061538484e+06 -5.4519839401364382e+06 -6.5188088423791016e+06 -7.8560635916029159e+06 -9.4942874854851477e+06 -1.1436080978775734e+07 -1.3644885204568023e+07 -1.6043179226945596e+07 -1.8522204551909368e+07 -2.0960206699275628e+07 -2.3243407739751358e+07 -2.5280460222502880e+07 -2.7012345351909108e+07 -2.8413073599956360e+07 -2.9484866112524178e+07 -3.0253845836811259e+07 -3.0764096007152300e+07 -3.1068077896341138e+07 -3.1222553816426717e+07 -3.1278908284619976e+07 -3.1278280942487221e+07 -3.1248739658040963e+07 -3.1219094761039421e+07 -3.1185848194178313e+07 -3.1150485541455101e+07 -3.1112879288455099e+07 -3.1073900164608721e+07 -3.1032847379332922e+07 -3.0989667967698324e+07 -3.0942665473079860e+07 -3.0892356759109709e+07 -3.0837815050238326e+07 -3.0778316358424172e+07 -3.0712980899373103e+07 -3.0640817509017002e+07 -3.0560696908079080e+07 -3.0471331743678652e+07 -3.0371401990241788e+07 -3.0259353522689298e+07 -3.0133559213323932e+07 -2.9992268092648789e+07 -2.9833674332926236e+07 -2.9655966679849636e+07 -2.9457425869852655e+07 -2.9236927536508203e+07 -2.8992575260684751e+07 -2.8724372535148725e+07 -2.8432939760670468e+07 -2.8120563001549624e+07 -2.7791132245125543e+07 -2.7452052185290579e+07 -2.7114602778616939e+07 -2.6795551416019980e+07 -2.6519376901080117e+07 -2.6320849454081897e+07 -2.6249727495425940e+07 -2.6377455861234944e+07 -2.6808852760971334e+07 -2.7702709870754570e+07 -2.9310562831427298e+07 -3.2053823457688779e+07 2.1463409472461781e+06 +9.1757539887367665e-02 -1.0706317040598206e+06 -9.5420331314636383e+05 -7.5448511488041771e+05 -4.9611924741838180e+05 -2.4510572926139261e+05 -1.0021550145270368e+05 -1.0561354075938385e+05 -1.8812626757116267e+05 -2.7307224449589092e+05 -3.4550187168858550e+05 -4.1450964609766053e+05 -4.8139391198464070e+05 -5.4436006648997706e+05 -6.0281252851014270e+05 -6.5695354562765709e+05 -7.0648528093731648e+05 -7.5121040279087529e+05 -7.9145594489411532e+05 -8.2767986654400767e+05 -8.6031768973525183e+05 -8.8975439321073319e+05 -9.1606906054520141e+05 -9.3698017971142172e+05 -9.4776663941705856e+05 -9.5717327030807699e+05 -9.7411286729685008e+05 -9.9348958884320268e+05 -1.0120861871228034e+06 -1.0296048274012940e+06 -1.0462602045275776e+06 -1.0623120766868787e+06 -1.0780264881252488e+06 -1.0936771707438277e+06 -1.1095503333235711e+06 -1.1259501798994155e+06 -1.1432049119564216e+06 -1.1616735766615330e+06 -1.1817536913063354e+06 -1.2038902002460074e+06 -1.2285855370268070e+06 -1.2586274859476266e+06 -1.2931044279146253e+06 -1.3329731463362519e+06 -1.3793603926576707e+06 -1.4336042513639603e+06 -1.4973083031524625e+06 -1.5724139069716451e+06 -1.6612979165517197e+06 -1.7669085927109779e+06 -1.8929441041409406e+06 -2.0441495253153702e+06 -2.2266017283241958e+06 -2.4482179778767671e+06 -2.7196421264496516e+06 -3.0550059339207225e+06 -3.4733479516439899e+06 -4.0000089677407239e+06 -4.6680017843952244e+06 -5.5181790999100888e+06 -6.5965960631716922e+06 -7.9474689886898678e+06 -9.6010137344202660e+06 -1.1559137130746592e+07 -1.3784301343330482e+07 -1.6197928730433686e+07 -1.8690370310499907e+07 -2.1139325721827582e+07 -2.3430877848812766e+07 -2.5473872306767914e+07 -2.7209702218346283e+07 -2.8612868459297966e+07 -2.9686044261047460e+07 -3.0455720687643740e+07 -3.0966245365447618e+07 -3.1270242495285649e+07 -3.1424583931198433e+07 -3.1480717532399587e+07 -3.1479822390899297e+07 -3.1449988968287949e+07 -3.1420125935552776e+07 -3.1386654445003416e+07 -3.1351060256792434e+07 -3.1313210674593806e+07 -3.1273980258181091e+07 -3.1232663140338551e+07 -3.1189205513664670e+07 -3.1141900388081368e+07 -3.1091267756624628e+07 -3.1036374874467060e+07 -3.0976493091691077e+07 -3.0910736959041826e+07 -3.0838108930532258e+07 -3.0757472516638692e+07 -3.0667531768323239e+07 -3.0566958591943324e+07 -3.0454188670230877e+07 -3.0327584398684859e+07 -3.0185383533621918e+07 -3.0025768619879626e+07 -2.9846916740919277e+07 -2.9647097622102026e+07 -2.9425179362087555e+07 -2.9179253746539310e+07 -2.8909324112205770e+07 -2.8616014854795676e+07 -2.8301626758331385e+07 -2.7970074857430078e+07 -2.7628811523618113e+07 -2.7289189397665147e+07 -2.6968083561429910e+07 -2.6690130815155946e+07 -2.6490325094086438e+07 -2.6418745257264525e+07 -2.6547296061273497e+07 -2.6981470637487341e+07 -2.7881083124809433e+07 -2.9499288847040445e+07 -3.2260212619184937e+07 2.1722594342521513e+06 +9.2323063462678850e-02 -1.0847252252425302e+06 -9.6841793303854228e+05 -7.6890844762905838e+05 -5.1081549251757690e+05 -2.6007085316442302e+05 -1.1534051832016140e+05 -1.2074034156874513e+05 -2.0317240047760651e+05 -2.8803426404644165e+05 -3.6039246320024610e+05 -4.2933187542947975e+05 -4.9614959095993836e+05 -5.5905312794705504e+05 -6.1744774739646597e+05 -6.7153567546816240e+05 -7.2101962634822540e+05 -7.6570273325117165e+05 -8.0591192964039312e+05 -8.4210494852375344e+05 -8.7471713476293662e+05 -9.0413337745465338e+05 -9.3043302521314868e+05 -9.5133731179492548e+05 -9.6213068205093767e+05 -9.7155016419307410e+05 -9.8850005569805379e+05 -1.0078901028701134e+06 -1.0265071306049081e+06 -1.0440546744629128e+06 -1.0607484748940710e+06 -1.0768495039022749e+06 -1.0926252607376529e+06 -1.1083512125587261e+06 -1.1243156285705434e+06 -1.1408251476977116e+06 -1.1582108400468731e+06 -1.1768351252279477e+06 -1.1970994775775303e+06 -1.2194534832039960e+06 -1.2444050147335478e+06 -1.2747726810709951e+06 -1.3096367518564565e+06 -1.3499651476248845e+06 -1.3968979280680891e+06 -1.4517891568320992e+06 -1.5162617206424060e+06 -1.5922804856435589e+06 -1.6822511911636486e+06 -1.7891579892983157e+06 -1.9167440521676736e+06 -2.0698120559433128e+06 -2.2545122169114887e+06 -2.4788564092661971e+06 -2.7536137163867867e+06 -3.0930777307034289e+06 -3.5164957806904945e+06 -4.0494669355776850e+06 -4.7253014550225530e+06 -5.5851472727287766e+06 -6.6752668153235130e+06 -8.0398734386513354e+06 -9.7088499477136619e+06 -1.1683398628368225e+07 -1.3924993538673744e+07 -1.6353995694495939e+07 -1.8859866450689889e+07 -2.1319764811059147e+07 -2.3619642031807799e+07 -2.5668544389939949e+07 -2.7408283225468609e+07 -2.8813854227427341e+07 -2.9888385196545910e+07 -3.0658736324420914e+07 -3.1169519498744234e+07 -3.1473520940553349e+07 -3.1627720845086101e+07 -3.1683629132485289e+07 -3.1682463269679945e+07 -3.1652335552108351e+07 -3.1622253043878105e+07 -3.1588555343640767e+07 -3.1552728336703114e+07 -3.1514634092454009e+07 -3.1475151012024950e+07 -3.1433568121438872e+07 -3.1389830760555580e+07 -3.1342221354518767e+07 -3.1291263040078811e+07 -3.1236017070561100e+07 -3.1175750108686529e+07 -3.1109571009538032e+07 -3.1036475810258757e+07 -3.0955320772707667e+07 -3.0864801300430011e+07 -3.0763581193894412e+07 -3.0650085885490216e+07 -3.0522667236711424e+07 -3.0379551668277044e+07 -3.0218910034245029e+07 -3.0038907692238413e+07 -2.9837803297379084e+07 -2.9614457368112549e+07 -2.9366949836563315e+07 -2.9095283879979305e+07 -2.8800087910886645e+07 -2.8483677513206571e+07 -2.8149992905358478e+07 -2.7806534396469209e+07 -2.7464727708433013e+07 -2.7141556197220739e+07 -2.6861815526443098e+07 -2.6660724563525897e+07 -2.6588684353508290e+07 -2.6718062079154991e+07 -2.7155029473058932e+07 -2.8060428710797425e+07 -2.9689043629206598e+07 -3.2467726830611307e+07 2.1984869798009256e+06 +9.2892072494494493e-02 -1.0989915902791442e+06 -9.8280526323164010e+05 -7.8350432902168436e+05 -5.2568406662961980e+05 -2.7520810229706124e+05 -1.3063754650033076e+05 -1.3603917209194895e+05 -2.1839065046427425e+05 -3.0316849265609414e+05 -3.7545534844311106e+05 -4.4432648403119808e+05 -5.1107773820824968e+05 -5.7391874854192580e+05 -6.3225561858825909e+05 -6.8629055519355868e+05 -7.3572682401194493e+05 -7.8036802455701202e+05 -8.2054099251090561e+05 -8.5670323709661176e+05 -8.8928992921513470e+05 -9.1868587178725423e+05 -9.4497068236578966e+05 -9.6586834382904402e+05 -9.7666886252217030e+05 -9.8610148161057453e+05 -1.0030620140749717e+06 -1.0224657958382757e+06 -1.0411037315644958e+06 -1.0586807389177301e+06 -1.0754136183414615e+06 -1.0915645725929120e+06 -1.1074025756276553e+06 -1.1232048528394504e+06 -1.1392617606753667e+06 -1.1558824042058510e+06 -1.1734007586146796e+06 -1.1921826584718172e+06 -1.2126335847178434e+06 -1.2352078230494296e+06 -1.2604187526892251e+06 -1.2911161896587277e+06 -1.3263721886056466e+06 -1.3671659440979618e+06 -1.4146509872230964e+06 -1.4701975561071946e+06 -1.5354480787524446e+06 -1.6123912139010953e+06 -1.7034619355933615e+06 -1.8116807184881410e+06 -1.9408362747050899e+06 -2.0957895616887033e+06 -2.2827649913371941e+06 -2.5098701191792688e+06 -2.7880006283815866e+06 -3.1316136057448713e+06 -3.5601670883386508e+06 -4.0995203883821876e+06 -4.7832826731979186e+06 -5.6528970716169281e+06 -6.7548305063571865e+06 -8.1332869634043621e+06 -9.8178064726615120e+06 -1.1808875796806583e+07 -1.4066971763517624e+07 -1.6511389495899227e+07 -1.9030701629086148e+07 -2.1501531893071808e+07 -2.3809707555003505e+07 -2.5864483189981420e+07 -2.7608094663487386e+07 -2.9016036876474403e+07 -3.0091894663302511e+07 -3.0862898333586119e+07 -3.1373923887951132e+07 -3.1677918645194273e+07 -3.1831969929279801e+07 -3.1887648430778403e+07 -3.1886208908925656e+07 -3.1855784728433952e+07 -3.1825481398310944e+07 -3.1791556196101598e+07 -3.1755495080968164e+07 -3.1717154835327454e+07 -3.1677417712858006e+07 -3.1635567602268420e+07 -3.1591548980690647e+07 -3.1543633636715360e+07 -3.1492347865228221e+07 -3.1436746884967089e+07 -3.1376092645810477e+07 -3.1309488276094873e+07 -3.1235923361146092e+07 -3.1154246875662778e+07 -3.1063145524118934e+07 -3.0961274963227402e+07 -3.0847050316503841e+07 -3.0718812854074076e+07 -3.0574777599240188e+07 -3.0413103651665770e+07 -3.0231944579232864e+07 -3.0029547907357886e+07 -2.9804766528692819e+07 -2.9555668463240083e+07 -2.9282256725364815e+07 -2.8985163766213525e+07 -2.8666720050306361e+07 -2.8330891117051497e+07 -2.7985225474266540e+07 -2.7641222323983639e+07 -2.7315973882144112e+07 -2.7034435546738710e+07 -2.6832052340355422e+07 -2.6759549250062719e+07 -2.6889758402527176e+07 -2.7329533828737967e+07 -2.8240751341806594e+07 -2.9879832164606772e+07 -3.2676371545268498e+07 2.2250271960133151e+06 +9.3464588464513262e-02 -1.1134329060707702e+06 -9.9736744659704808e+05 -7.9827487676166417e+05 -5.4072710877801315e+05 -2.9051960780803260e+05 -1.4610871892507010e+05 -1.5151216476151414e+05 -2.3378315053974872e+05 -3.1847706329386309e+05 -3.9069265958409949e+05 -4.5949560354487860e+05 -5.2618048503056518e+05 -5.8895905945951503e+05 -6.4723827352547145e+05 -7.0122031629092153e+05 -7.5060900569476408e+05 -7.9520840898621734e+05 -8.3534526638954121e+05 -8.7147686598636524e+05 -9.0403820786662854e+05 -9.3341401234388258e+05 -9.5968416986771871e+05 -9.8057541580569244e+05 -9.9138332349783904e+05 -1.0008293685395133e+06 -1.0178008924101256e+06 -1.0372188225085066e+06 -1.0558781504298921e+06 -1.0734851878891573e+06 -1.0902578098759949e+06 -1.1064594670398582e+06 -1.1223606279852618e+06 -1.1382402995914789e+06 -1.1543909526911150e+06 -1.1711241901444942e+06 -1.1887769291089929e+06 -1.2077184621437276e+06 -1.2283583269646016e+06 -1.2511555673948117e+06 -1.2766291375821431e+06 -1.3076604478374822e+06 -1.3433132328217728e+06 -1.3845780996930918e+06 -1.4326222160473184e+06 -1.4888321921574678e+06 -1.5548702353648166e+06 -1.6327490857908356e+06 -1.7249333054187747e+06 -1.8344801277748803e+06 -1.9652243476942419e+06 -2.1220858910805229e+06 -2.3113642260389212e+06 -2.5412636721973475e+06 -2.8228078941326253e+06 -3.1706191477279514e+06 -3.6043681201367634e+06 -4.1501763285612143e+06 -4.8419532775377454e+06 -5.7214371970550697e+06 -6.8352966320417784e+06 -8.2277196697279140e+06 -9.9278937338663824e+06 -1.1935579027908856e+07 -1.4210246045597304e+07 -1.6670119554872699e+07 -1.9202884536442462e+07 -2.1684634920958992e+07 -2.4001081706663817e+07 -2.6061695443842120e+07 -2.7809142839643188e+07 -2.9219422394624412e+07 -3.0296578420915041e+07 -3.1068212316631082e+07 -3.1579464028952099e+07 -3.1883441037053268e+07 -3.2037336569673412e+07 -3.2092780787814390e+07 -3.2091064653307833e+07 -3.2060341830904476e+07 -3.2029816325790361e+07 -3.1995662322964709e+07 -3.1959365803895433e+07 -3.1920778211053450e+07 -3.1880785661799423e+07 -3.1838666877074473e+07 -3.1794365460819945e+07 -3.1746142513418794e+07 -3.1694527502221603e+07 -3.1638569578559466e+07 -3.1577525953783471e+07 -3.1510493998272438e+07 -3.1436456810481541e+07 -3.1354256039075725e+07 -3.1262569637701336e+07 -3.1160045081222706e+07 -3.1045087125422500e+07 -3.0916026391458347e+07 -3.0771066443127789e+07 -3.0608354561697498e+07 -3.0426032461144563e+07 -3.0222336477395225e+07 -2.9996111831534829e+07 -2.9745414572618969e+07 -2.9470247548669416e+07 -2.9171247271392453e+07 -2.8850759166926492e+07 -2.8512774233575787e+07 -2.8164889440272957e+07 -2.7818677870013561e+07 -2.7491341187428735e+07 -2.7207995400168806e+07 -2.7004312914829798e+07 -2.6931344425073501e+07 -2.7062389531337108e+07 -2.7504988278062679e+07 -2.8422055743849825e+07 -3.0071659453546606e+07 -3.2886152231492735e+07 2.2518837358553526e+06 +9.4040632986830686e-02 -1.1280513396995151e+06 -1.0121066290436044e+06 -8.1322226111870445e+05 -5.5594676078489667e+05 -3.0600752923770994e+05 -1.6175619481385683e+05 -1.6716148061307368e+05 -2.4935205949762670e+05 -3.3396213362321217e+05 -4.0610655462338694e+05 -4.7484139176487160e+05 -5.4145998880973831e+05 -6.0417621781695657e+05 -6.6239786971255322e+05 -7.1632711626105534e+05 -7.6566832915296941e+05 -8.1022604477857135e+05 -8.5032691008478391e+05 -8.8642799482752010e+05 -9.1896413140508800e+05 -9.4831996117354219e+05 -9.7457565153935133e+05 -9.9546069372141780e+05 -1.0062762337062067e+06 -1.0157359970831969e+06 -1.0327188668788667e+06 -1.0521513639254768e+06 -1.0708325740035435e+06 -1.0884702149682837e+06 -1.1052832510774843e+06 -1.1215363982209524e+06 -1.1375016398213666e+06 -1.1534597877980566e+06 -1.1697054548339818e+06 -1.1865527736072694e+06 -1.2043416405995211e+06 -1.2234448499128288e+06 -1.2442760468192447e+06 -1.2672990925102266e+06 -1.2930385852325910e+06 -1.3244079214667103e+06 -1.3604624096013587e+06 -1.4022042096154431e+06 -1.4508142927200352e+06 -1.5076958413696743e+06 -1.5745310831490927e+06 -1.6533571317763724e+06 -1.7466684945541492e+06 -1.8575596052627114e+06 -1.9899118903688660e+06 -2.1487049391125464e+06 -2.3403141456561033e+06 -2.5730416875053286e+06 -2.8580406050509224e+06 -3.2101000108692539e+06 -3.6491051935383310e+06 -4.2014418369141500e+06 -4.9013211908650910e+06 -5.7907764376308136e+06 -6.9166747769552572e+06 -8.3231817497206004e+06 -1.0039122233514233e+07 -1.2063518780253099e+07 -1.4354826467348820e+07 -1.6830195334979493e+07 -1.9376423897270586e+07 -2.1869081874542311e+07 -2.4193771797040954e+07 -2.6260187907234535e+07 -2.8011434078162067e+07 -2.9424016785833914e+07 -3.0502442244301084e+07 -3.1274683889942080e+07 -3.1786145432204321e+07 -3.2090093558550060e+07 -3.2243826166686065e+07 -3.2299031578652155e+07 -3.2297035861965615e+07 -3.2266012207404211e+07 -3.2235263167535052e+07 -3.2200879059147153e+07 -3.2164345834139403e+07 -3.2125509541827224e+07 -3.2085260174346179e+07 -3.2042871254323598e+07 -3.1998285501974691e+07 -3.1949753277615521e+07 -3.1897807235487144e+07 -3.1841490426421542e+07 -3.1780055297514766e+07 -3.1712593429844379e+07 -3.1638081399642043e+07 -3.1555353490746442e+07 -3.1463078853589576e+07 -3.1359896743188314e+07 -3.1244201488411844e+07 -3.1114313003513727e+07 -3.0968423330426283e+07 -3.0804667867704708e+07 -3.0621176410881128e+07 -3.0416174046540957e+07 -3.0188498277883004e+07 -2.9936193124176763e+07 -2.9659261263415888e+07 -2.9358343290125810e+07 -2.9035799673402175e+07 -2.8695647008909460e+07 -2.8345530990438011e+07 -2.7997098984757841e+07 -2.7667662696686212e+07 -2.7382499623075888e+07 -2.7177510789397325e+07 -2.7104074368819620e+07 -2.7235959977661755e+07 -2.7681397406927034e+07 -2.8604346655723859e+07 -3.0264530509929731e+07 -3.3097074372419816e+07 2.2790602935741888e+06 +9.4620227808755092e-02 -1.1428490590491460e+06 -1.0270249816258820e+06 -8.2834864681077015e+05 -5.7134521032688173e+05 -3.2167404856300872e+05 -1.7758215812590360e+05 -1.8298930274041888e+05 -2.6509956156750099e+05 -3.4962588836867211e+05 -4.2169921763236244e+05 -4.9036603287936910e+05 -5.5691843321028573e+05 -6.1957240717744257e+05 -6.7773659090029798e+05 -7.3161313887735025e+05 -7.8090697840565606e+05 -8.2542311636317312e+05 -8.6548810855837434e+05 -9.0155880938940437e+05 -9.3406988667843421e+05 -9.6340590650718170e+05 -9.8964731743999466e+05 -1.0105263698772737e+06 -1.0213497882406693e+06 -1.0308235657744184e+06 -1.0478181401770188e+06 -1.0672656277396812e+06 -1.0859692157798975e+06 -1.1036380405318793e+06 -1.1204921704158988e+06 -1.1367976041158093e+06 -1.1528278602939653e+06 -1.1688655797457416e+06 -1.1852075448067624e+06 -1.2021704503946621e+06 -1.2200972101165040e+06 -1.2393641637034437e+06 -1.2603891153824383e+06 -1.2836408036798271e+06 -1.3096495409485535e+06 -1.3413611064930581e+06 -1.3778222748406546e+06 -1.4200469007163921e+06 -1.4692299280619980e+06 -1.5267913139471721e+06 -1.5944335499877881e+06 -1.6742184191690662e+06 -1.7686707357108220e+06 -1.8809225801430810e+06 -2.0149025657722044e+06 -2.1756506477853032e+06 -2.3696190256276764e+06 -2.6052088395196446e+06 -2.8937039129334479e+06 -3.2500619156280085e+06 -3.6943846986456080e+06 -4.2533240734264283e+06 -4.9613944209947558e+06 -5.8609236708116168e+06 -6.9989746151123093e+06 -8.4196834812035840e+06 -1.0151502551635541e+07 -1.2192705579311578e+07 -1.4500723165919343e+07 -1.6991626343040165e+07 -1.9551328469805222e+07 -2.2054880760269187e+07 -2.4387785157966219e+07 -2.6459967354465745e+07 -2.8214974719930992e+07 -2.9629826069769219e+07 -3.0709491923351247e+07 -3.1482318684646528e+07 -3.1993973622808479e+07 -3.2297881666542180e+07 -3.2451444135100439e+07 -3.2506406192597218e+07 -3.2504127908313937e+07 -3.2472801220262773e+07 -3.2441827279126439e+07 -3.2407211753927004e+07 -3.2370440514615767e+07 -3.2331354164013896e+07 -3.2290846580232162e+07 -3.2248186056693047e+07 -3.2203314419415381e+07 -3.2154471236518014e+07 -3.2102192363554563e+07 -3.2045514717743546e+07 -3.1983685955987368e+07 -3.1915791838582490e+07 -3.1840802384076975e+07 -3.1757544472291626e+07 -3.1664678398036625e+07 -3.1560835158252276e+07 -3.1444398595401559e+07 -3.1313677858567819e+07 -3.1166853405225854e+07 -3.1002048686577789e+07 -3.0817381514933333e+07 -3.0611065667201046e+07 -3.0381930882316824e+07 -3.0128009090533294e+07 -2.9849302796310324e+07 -2.9546456699093603e+07 -2.9221846392768923e+07 -2.8879514209613543e+07 -2.8527154833194681e+07 -2.8176490318817366e+07 -2.7844943005743861e+07 -2.7557952763920918e+07 -2.7351650478435040e+07 -2.7277743583544735e+07 -2.7410474265727665e+07 -2.7858765813493203e+07 -2.8787628828901052e+07 -3.0458450360973798e+07 -3.3309143465828229e+07 2.3065606051381477e+06 +9.5203394811628636e-02 -1.1578282707782392e+06 -1.0421247204198680e+06 -8.4365625255270593e+05 -5.8692467104793875e+05 -3.3752137625664880e+05 -1.9358882386190895e+05 -1.9899784491688700e+05 -2.8102786967972683e+05 -3.6547053987116349e+05 -4.3747285935599543e+05 -5.0607173772433604e+05 -5.7255802840906917e+05 -6.3514983793998091e+05 -6.9325664729234390e+05 -7.4708059440292942e+05 -7.9632716393443360e+05 -8.4080183454216633e+05 -8.8083107312744623e+05 -9.1687152177618281e+05 -9.4935768693350093e+05 -9.7867406301589496e+05 -1.0049013841477851e+06 -1.0257746631739130e+06 -1.0366062088653970e+06 -1.0460942998990038e+06 -1.0631009418354658e+06 -1.0825638485297647e+06 -1.1012903162692923e+06 -1.1189909120693614e+06 -1.1358868235784357e+06 -1.1522453500424388e+06 -1.1683415660315203e+06 -1.1844599653555229e+06 -1.2008995281317462e+06 -1.2179795443411809e+06 -1.2360459829814134e+06 -1.2554787740313013e+06 -1.2766999327020345e+06 -1.3001831355419627e+06 -1.3264644798745299e+06 -1.3585225293134977e+06 -1.3953954156103341e+06 -1.4381088318705736e+06 -1.4878718659214308e+06 -1.5461214543172107e+06 -1.6145805993872432e+06 -1.6953360525751952e+06 -1.7909433008487110e+06 -1.9045725231858781e+06 -2.0402000812587712e+06 -2.2029270066704983e+06 -2.3992831927744159e+06 -2.6377698585240501e+06 -2.9298030306513049e+06 -3.2905106494461326e+06 -3.7402130990018821e+06 -4.3058302780592507e+06 -5.0221810615108572e+06 -5.9318878636316182e+06 -7.0822059105412280e+06 -8.5172352282018643e+06 -1.0265045346347889e+07 -1.2323150017506648e+07 -1.4647946333091155e+07 -1.7154422128910448e+07 -1.9727607045797750e+07 -2.2242039610869493e+07 -2.4583129142884135e+07 -2.6661040578235392e+07 -2.8419771122434441e+07 -2.9836856281532642e+07 -3.0917733262946278e+07 -3.1691122346396469e+07 -3.2202954140259568e+07 -3.2506810832066234e+07 -3.2660195903904419e+07 -3.2714910033164583e+07 -3.2712346179836132e+07 -3.2680714245804530e+07 -3.2649514030182328e+07 -3.2614665770485580e+07 -3.2577655202325419e+07 -3.2538317428006686e+07 -3.2497550223086666e+07 -3.2454616620805364e+07 -3.2409457542227738e+07 -3.2360301711135268e+07 -3.2307688198871568e+07 -3.2250647755595773e+07 -3.2188423222024903e+07 -3.2120094506069168e+07 -3.2044625032945853e+07 -3.1960834239193525e+07 -3.1867373511124276e+07 -3.1762865549295917e+07 -3.1645683649999350e+07 -3.1514126138607409e+07 -3.1366361825227097e+07 -3.1200502148755249e+07 -3.1014652873156361e+07 -3.0807016405103132e+07 -3.0576414672560450e+07 -3.0320867457440794e+07 -3.0040377086937658e+07 -2.9735592387795307e+07 -2.9408904160842862e+07 -2.9064380614853118e+07 -2.8709765689351767e+07 -2.8356856534999453e+07 -2.8023186722494949e+07 -2.7734359383140381e+07 -2.7526736508222580e+07 -2.7452356583298095e+07 -2.7585936931490179e+07 -2.8037098107953437e+07 -2.8971907027276337e+07 -3.0653424047117896e+07 -3.3522365023845483e+07 2.3343884486809513e+06 +9.5790156011653430e-02 -1.1729912221790939e+06 -1.0574080724351669e+06 -8.5914729837506008e+05 -6.0268737774738320e+05 -3.5355175531022187e+05 -2.0977843056023298e+05 -2.1518934736560579e+05 -2.9713922250037425e+05 -3.8149832524453825e+05 -4.5342971744878363e+05 -5.2196074354788027e+05 -5.8838101160229393e+05 -6.5091074748405407e+05 -7.0896027574647404e+05 -7.6273171976616408e+05 -8.1193112278981600e+05 -8.5636443662076991e+05 -8.9635804162811278e+05 -9.3236837061284448e+05 -9.6482977203798282e+05 -9.9412667208570463e+05 -1.0203400950509830e+06 -1.0412078194231071e+06 -1.0520477443423953e+06 -1.0615504518161674e+06 -1.0785695285490763e+06 -1.0980482881310317e+06 -1.1167981433344551e+06 -1.1345311045154468e+06 -1.1514694938021475e+06 -1.1678819289907520e+06 -1.1840450614697896e+06 -1.2002452625135700e+06 -1.2167837384849072e+06 -1.2339824076587609e+06 -1.2521903331511030e+06 -1.2717910803513089e+06 -1.2932109281172692e+06 -1.3169285524477563e+06 -1.3434859073574077e+06 -1.3758947471386835e+06 -1.4131844505216090e+06 -1.4563926943598897e+06 -1.5067428835817080e+06 -1.5656891415367012e+06 -1.6349752309148060e+06 -1.7167131743353161e+06 -1.8134895016539623e+06 -1.9285129472291504e+06 -2.0658081890368811e+06 -2.2305380534511893e+06 -2.4293110259072487e+06 -2.6707295313162459e+06 -2.9663432328299670e+06 -3.3314520674857725e+06 -3.7865969323574444e+06 -4.3589677715471825e+06 -5.0836892925626365e+06 -6.0036780734195029e+06 -7.1663785179116717e+06 -8.6158474413548000e+06 -1.0379761354106773e+07 -1.2454862754250657e+07 -1.4796506215233305e+07 -1.7318592285412155e+07 -1.9905268450319603e+07 -2.2430566485305585e+07 -2.4779811126415711e+07 -2.6863414389442157e+07 -2.8625829659418620e+07 -3.0045113471470267e+07 -3.1127172082532927e+07 -3.1901100535235528e+07 -3.2413092538061243e+07 -3.2716886540359370e+07 -3.2870086916075408e+07 -3.2924548517790046e+07 -3.2921696078098111e+07 -3.2889756674219646e+07 -3.2858328804151140e+07 -3.2823246485951025e+07 -3.2785995267975796e+07 -3.2746404698101737e+07 -3.2705376460463699e+07 -3.2662168297122180e+07 -3.2616720213466741e+07 -3.2567250036394872e+07 -3.2514300067600343e+07 -3.2456894856782958e+07 -3.2394272402155709e+07 -3.2325506727582328e+07 -3.2249554629110463e+07 -3.2165228060478114e+07 -3.2071169446400400e+07 -3.1965993152674243e+07 -3.1848061869245086e+07 -3.1715663039013114e+07 -3.1566953761435751e+07 -3.1400033397884279e+07 -3.1212995598553680e+07 -3.1004031339035142e+07 -3.0771954689374786e+07 -3.0514773223490380e+07 -3.0232489087690398e+07 -2.9925755258367509e+07 -2.9596977825913418e+07 -2.9250251016106505e+07 -2.8893368292003684e+07 -2.8538202308188897e+07 -2.8202398466779087e+07 -2.7911724052936606e+07 -2.7702773416767847e+07 -2.7627917893837631e+07 -2.7762352522772949e+07 -2.8216398912479196e+07 -2.9157186027127564e+07 -3.0849456621831011e+07 -3.3736744572976232e+07 2.3625476449501822e+06 +9.6380533560722667e-02 -1.1883401403411403e+06 -1.0728772922582121e+06 -8.7482406538269238e+05 -6.1863559728461108e+05 -3.6976744576981163e+05 -2.2615324403183287e+05 -2.3156607415278148e+05 -3.1343588465086010e+05 -3.9771150878310163e+05 -4.6957205685737147e+05 -5.3803531433811109e+05 -6.0438964742036548e+05 -6.6685740009234392e+05 -7.2484973991710425e+05 -7.7856877862398454e+05 -8.2772111859627953e+05 -8.7211318647599209e+05 -9.1207127854062396e+05 -9.4805162123613060e+05 -9.8048840871958598e+05 -1.0097660020970120e+06 -1.0359657206549108e+06 -1.0568281116690340e+06 -1.0676766707568634e+06 -1.0771943013001301e+06 -1.0942261845199135e+06 -1.1137212359748743e+06 -1.1324949925155926e+06 -1.1502609205775021e+06 -1.1672424922020279e+06 -1.1837096619444001e+06 -1.1999406791842503e+06 -1.2162238174072695e+06 -1.2328625380362121e+06 -1.2501814212738930e+06 -1.2685326635586149e+06 -1.2883035114022619e+06 -1.3099245606155705e+06 -1.3338795488128781e+06 -1.3607163592994823e+06 -1.3934803483666561e+06 -1.4311920301112256e+06 -1.4749012122616980e+06 -1.5258457921444087e+06 -1.5854972897107915e+06 -1.6556204806167425e+06 -1.7383529649776379e+06 -1.8363126900095593e+06 -1.9527474076831844e+06 -2.0917306866811940e+06 -2.2584878745046915e+06 -2.4597069564167471e+06 -2.7040927018524362e+06 -3.0033298565650834e+06 -3.3728920933785499e+06 -3.8335428114529974e+06 -4.4127439562020665e+06 -5.1459273816199573e+06 -6.0763034485250637e+06 -7.2515023831025613e+06 -8.7155306583478618e+06 -1.0495661389973618e+07 -1.2587854516074168e+07 -1.4946413113255553e+07 -1.7484146448105741e+07 -2.0084321541500848e+07 -2.2620469468435220e+07 -2.4977838504337069e+07 -2.7067095616928145e+07 -2.8833156720865626e+07 -3.0254603705088485e+07 -3.1337814216116399e+07 -3.2112258925349113e+07 -3.2624394383875124e+07 -3.2928114290481742e+07 -3.3081122628388844e+07 -3.3135327077751134e+07 -3.3132183018198214e+07 -3.3099933909558885e+07 -3.3068276998291679e+07 -3.3032959291131254e+07 -3.2995466096074019e+07 -3.2955621352148317e+07 -3.2914330663465261e+07 -3.2870846449717175e+07 -3.2825107789610345e+07 -3.2775321560716596e+07 -3.2722033309473772e+07 -3.2664261351550784e+07 -3.2601238816474300e+07 -3.2532033811896630e+07 -3.2455596468844984e+07 -3.2370731218596239e+07 -3.2276071470844049e+07 -3.2170223218057245e+07 -3.2051538483397502e+07 -3.1918293768313047e+07 -3.1768634397977434e+07 -3.1600647590705186e+07 -3.1412414817178994e+07 -3.1202115560798127e+07 -3.0968555986342605e+07 -3.0709731400077809e+07 -3.0425643763579816e+07 -3.0116950225438006e+07 -2.9786072248616580e+07 -2.9437130217092272e+07 -2.9077967386194814e+07 -2.8720532325154290e+07 -2.8382582870184951e+07 -2.8090051357197411e+07 -2.7879765753645558e+07 -2.7804432052446775e+07 -2.7939725598932233e+07 -2.8396672860972043e+07 -2.9343470616862126e+07 -3.1046553151489079e+07 -3.3952287653731525e+07 2.3910420577599434e+06 +9.6974549747256930e-02 -1.2038773441854028e+06 -1.0885346906111483e+06 -8.9068882923383033e+05 -6.3477160771728342e+05 -3.8617074575428152e+05 -2.4271555741237104e+05 -2.4813032241633418e+05 -3.2992015093445056e+05 -4.1411238416468201e+05 -4.8590217007990752e+05 -5.5429774186756008e+05 -6.2058622774404334e+05 -6.8299208668671094e+05 -7.4092733021110552e+05 -7.9459406122805132e+05 -8.4369944144494634e+05 -8.8805037457567872e+05 -9.2797307509636041e+05 -9.6392356589455332e+05 -9.9633589080802037e+05 -1.0255943487254001e+06 -1.0517805589028257e+06 -1.0726378405263317e+06 -1.0834952918609383e+06 -1.0930281558773692e+06 -1.1100732217923368e+06 -1.1295850094268231e+06 -1.1483831873752549e+06 -1.1661826910795041e+06 -1.1832081581153984e+06 -1.1997308982313701e+06 -1.2160307802282937e+06 -1.2323980048676876e+06 -1.2491383177894207e+06 -1.2665789951737572e+06 -1.2850754064651220e+06 -1.3050185255606910e+06 -1.3268433191840039e+06 -1.3510386494815843e+06 -1.3781584025367177e+06 -1.4112819529522299e+06 -1.4494208372227773e+06 -1.4936371428436683e+06 -1.5451834369488461e+06 -1.6055488484098439e+06 -1.6765194214660102e+06 -1.7602586436679719e+06 -1.8594162584672940e+06 -1.9772795030244510e+06 -2.1179714176768935e+06 -2.2867806054598400e+06 -2.4904754689004752e+06 -2.7378642719080113e+06 -3.0407683021067348e+06 -3.4148367199593228e+06 -3.8810574248157740e+06 -4.4671663167327698e+06 -5.2089036843088642e+06 -6.1497732290277453e+06 -7.3375875438180873e+06 -8.8162955043465309e+06 -1.0612756347822972e+07 -1.2722136096651845e+07 -1.5097677382511243e+07 -1.7651094295249093e+07 -2.0264775210452493e+07 -2.2811756670853011e+07 -2.5177218693169978e+07 -2.7272091107369695e+07 -2.9041758712593745e+07 -3.0465333062690787e+07 -3.1549665511981972e+07 -3.2324603204881851e+07 -3.2836865259081993e+07 -3.3140499595104598e+07 -3.3293308511325356e+07 -3.3347251157839108e+07 -3.3343812429001734e+07 -3.3311251369268820e+07 -3.3279364023301050e+07 -3.3243809590407759e+07 -3.3206073084589787e+07 -3.3165972781571828e+07 -3.3124418216737103e+07 -3.3080656456123542e+07 -3.3034625640683230e+07 -3.2984521645869184e+07 -3.2930893277671773e+07 -3.2872752583657410e+07 -3.2809327798295803e+07 -3.2739681081043005e+07 -3.2662755861707889e+07 -3.2577349009285547e+07 -3.2482084864589162e+07 -3.2375561008280486e+07 -3.2256118735967010e+07 -3.2122023548211254e+07 -3.1971408932043772e+07 -3.1802349896920566e+07 -3.1612915667893928e+07 -3.1401274174862582e+07 -3.1166223629710969e+07 -3.0905747011102956e+07 -3.0619846092053078e+07 -3.0309182215968020e+07 -2.9976192301776506e+07 -2.9625023033536512e+07 -2.9263567728919115e+07 -2.8903851284460448e+07 -2.8563744575903893e+07 -2.8269345891211245e+07 -2.8057718079719327e+07 -2.7981903607734166e+07 -2.8118060730740163e+07 -2.8577924598994970e+07 -2.9530765596921328e+07 -3.1244718715158455e+07 -3.4168999820519708e+07 2.4198755944478093e+06 +9.7572226997045666e-02 -1.2196051275795125e+06 -1.1043825539496758e+06 -9.0674390850078582e+05 -6.5109774100086070e+05 -4.0276396996377653e+05 -2.5946769630489606e+05 -2.6488441150731366e+05 -3.4659434179939190e+05 -4.3070327311125520e+05 -5.0242237762433611e+05 -5.7075034578301932e+05 -6.3697307087476156e+05 -6.9931712431838969e+05 -7.5719536334884795e+05 -8.1080988405037695e+05 -8.5986840771074640e+05 -9.0417831797172688e+05 -9.4406574939761311e+05 -9.7998652399482625e+05 -1.0123745395238978e+06 -1.0416140352813171e+06 -1.0677869355195037e+06 -1.0886393345337345e+06 -1.0995059394352550e+06 -1.1090543511855865e+06 -1.1261129806085785e+06 -1.1456419541347506e+06 -1.1644650798452869e+06 -1.1822987753028797e+06 -1.1993688594376957e+06 -1.2159480158596605e+06 -1.2323177544772096e+06 -1.2487702287145581e+06 -1.2656134979294192e+06 -1.2831775687572344e+06 -1.3018210238065615e+06 -1.3219386111971796e+06 -1.3439697231683780e+06 -1.3684084100924397e+06 -1.3958146351976292e+06 -1.4293022127874657e+06 -1.4678735873885707e+06 -1.5126032769575091e+06 -1.5647586979741959e+06 -1.6258468030860736e+06 -1.6976751637900630e+06 -1.7824334686740281e+06 -1.8828036407344681e+06 -2.0021128753158033e+06 -2.1445342719582245e+06 -2.3154204317754200e+06 -2.5216211017693044e+06 -2.7720492017365135e+06 -3.0786640335838334e+06 -3.4572920100446874e+06 -3.9291475375586036e+06 -4.5222424210363422e+06 -5.2726266451712195e+06 -6.2240967474785130e+06 -7.4246441301931683e+06 -8.9181526923935581e+06 -1.0731057200562391e+07 -1.2857718356888440e+07 -1.5250309432720099e+07 -1.7819445547473449e+07 -2.0446638380930800e+07 -2.3004436228618979e+07 -2.5377959130112819e+07 -2.7478407724872764e+07 -2.9251642056116950e+07 -3.0677307639284182e+07 -3.1762731832448747e+07 -3.2538139075777486e+07 -3.3050510758618962e+07 -3.3354047980520666e+07 -3.3506650048660204e+07 -3.3560326216247953e+07 -3.3556589752617270e+07 -3.3523714484192617e+07 -3.3491595303283412e+07 -3.3455802801309071e+07 -3.3417821644793224e+07 -3.3377464390987609e+07 -3.3335644518148314e+07 -3.3291603707088597e+07 -3.3245279149848666e+07 -3.3194855666987129e+07 -3.3140885338443831e+07 -3.3082373909883816e+07 -3.3018544694125101e+07 -3.2948453870184071e+07 -3.2871038130266547e+07 -3.2785086741209973e+07 -3.2689214920796890e+07 -3.2582011799193881e+07 -3.2461807883283045e+07 -3.2326857613164388e+07 -3.2175282573596966e+07 -3.2005145498945117e+07 -3.1814503302268561e+07 -3.1601512298303384e+07 -3.1364962698203713e+07 -3.1102825092812538e+07 -3.0815101062737409e+07 -3.0502456169006467e+07 -3.0167342870200355e+07 -2.9813934293014459e+07 -2.9450174088866495e+07 -2.9088163896166019e+07 -2.8745888238541827e+07 -2.8449612261637032e+07 -2.8236634967236292e+07 -2.8160337119571842e+07 -2.8297362500216316e+07 -2.8760158783473071e+07 -2.9719075779482670e+07 -3.1443958404344905e+07 -3.4386886641450837e+07 2.4490522063360945e+06 +9.8173587874093776e-02 -1.2355258302164469e+06 -1.1204232374563348e+06 -9.2299165311620943e+05 -6.6761634015548683e+05 -4.1954947261716711e+05 -2.7641200687286013e+05 -2.8183069460799242e+05 -3.6346080744690401e+05 -4.4748652321019740e+05 -5.1913502643578057e+05 -5.8739547158493102e+05 -6.5355252017551323e+05 -7.1583485523389198e+05 -7.7365618147050368e+05 -8.2721858924062352e+05 -8.7623035989256890e+05 -9.2049936034911359e+05 -9.6035164660486067e+05 -9.9624284241925878e+05 -1.0286067038155387e+06 -1.0578274130828737e+06 -1.0839872043873102e+06 -1.1048349505333437e+06 -1.1157109736492243e+06 -1.1252752513353382e+06 -1.1423478297647610e+06 -1.1618944443779818e+06 -1.1807430505657210e+06 -1.1986115613286926e+06 -1.2157269929740625e+06 -1.2323634218633692e+06 -1.2488040209765399e+06 -1.2653429221008879e+06 -1.2822905281740013e+06 -1.2999796111825046e+06 -1.3187720075569868e+06 -1.3390662870284580e+06 -1.3613063226413017e+06 -1.3859914174420573e+06 -1.4136876870836697e+06 -1.4475438120805994e+06 -1.4865530292267150e+06 -1.5318024394416348e+06 -1.5845744902524853e+06 -1.6463941755139793e+06 -1.7190908557252919e+06 -1.8048807378261348e+06 -1.9064783121564218e+06 -2.0272512107107842e+06 -2.1714231864510253e+06 -2.3444115893322662e+06 -2.5531484478751738e+06 -2.8066525107345618e+06 -3.1170225797125273e+06 -3.5002640971877123e+06 -3.9778199921776126e+06 -4.5779799210434305e+06 -5.3371047984811207e+06 -6.2992834296099721e+06 -7.5126823653533394e+06 -9.0211130238732342e+06 -1.0850575000427991e+07 -1.2994612224918703e+07 -1.5404319727894168e+07 -1.7989209967730291e+07 -2.0629920009169728e+07 -2.3198516303068686e+07 -2.5580067272695486e+07 -2.7686052350871969e+07 -2.9462813188445415e+07 -3.0890533544264663e+07 -3.1977019053742640e+07 -3.2752872253514286e+07 -3.3265336490858216e+07 -3.3568764986206338e+07 -3.3721152737508535e+07 -3.3774557724362344e+07 -3.3770520444238558e+07 -3.3737328698281124e+07 -3.3704976275305897e+07 -3.3668944354567163e+07 -3.3630717200931042e+07 -3.3590101598090552e+07 -3.3548014978573512e+07 -3.3503693606342822e+07 -3.3457073713308148e+07 -3.3406329012034275e+07 -3.3352014871087138e+07 -3.3293130700020120e+07 -3.3228894863371935e+07 -3.3158357527354091e+07 -3.3080448610049538e+07 -3.2993949735976443e+07 -3.2897466945424329e+07 -3.2789580879269436e+07 -3.2668611194329701e+07 -3.2532801210270468e+07 -3.2380260545134526e+07 -3.2209039591628715e+07 -3.2017182884264372e+07 -3.1802835060528651e+07 -3.1564778282773092e+07 -3.1300970693623222e+07 -3.1011413677415889e+07 -3.0696777035526387e+07 -3.0359528850452617e+07 -3.0003868834765133e+07 -2.9637791246238552e+07 -2.9273474881746415e+07 -2.8929018523951132e+07 -2.8630855086273436e+07 -2.8416520999363776e+07 -2.8339737158787381e+07 -2.8477635500456117e+07 -2.8943380082635093e+07 -2.9908405988397729e+07 -3.1644277322909508e+07 -3.4605953698007785e+07 2.4785758891974059e+06 +9.8778655081473515e-02 -1.2516418439465063e+06 -1.1366591216437132e+06 -9.3943443108455790e+05 -6.8432978257287119e+05 -4.3652963097887178e+05 -2.9355086977082363e+05 -2.9897154470772180e+05 -3.8052192368836841e+05 -4.6446450635550939e+05 -5.3604248590602085e+05 -6.0423548738413316e+05 -6.7032694216883637e+05 -7.3254764548111765e+05 -7.9031215107457514e+05 -8.4382254418130114e+05 -8.9278766663093842e+05 -9.3701587223380408e+05 -9.7683313926543761e+05 -1.0126948959527592e+06 -1.0450347607846478e+06 -1.0742368618757736e+06 -1.1003837479548752e+06 -1.1212270740588778e+06 -1.1321127834498747e+06 -1.1416932492906679e+06 -1.1587801669789192e+06 -1.1783448834275326e+06 -1.1972195092456902e+06 -1.2151234663960270e+06 -1.2322849847805952e+06 -1.2489795526526698e+06 -1.2654920282881174e+06 -1.2821185478660928e+06 -1.2991718881241768e+06 -1.3169876217266363e+06 -1.3359308800757155e+06 -1.3564041024883443e+06 -1.3788556987643680e+06 -1.4037902898593370e+06 -1.4317802200476364e+06 -1.4660094677476429e+06 -1.5054619448271864e+06 -1.5512374895241649e+06 -1.6046337642864129e+06 -1.6671940242107895e+06 -1.7407696836585519e+06 -1.8276037889866675e+06 -1.9304437902149453e+06 -2.0526982399835144e+06 -2.1986421456246767e+06 -2.3737583650039779e+06 -2.5850621551318350e+06 -2.8416792781308526e+06 -3.1558495345244305e+06 -3.5437591864476674e+06 -4.0270817093440909e+06 -4.6343865535240890e+06 -5.4023467690429864e+06 -6.3753427950704033e+06 -7.6017125660364106e+06 -9.1251873888877183e+06 -1.0971320879111748e+07 -1.3132828696182463e+07 -1.5559718786195241e+07 -1.8160397361032218e+07 -2.0814629083601277e+07 -2.3394005080460057e+07 -2.5783550598506492e+07 -2.7895031883794155e+07 -2.9675278561717242e+07 -3.1105016901129249e+07 -3.2192533065559927e+07 -3.2968808466671120e+07 -3.3481348077109635e+07 -3.3784656164548717e+07 -3.3936822087663934e+07 -3.3989951166338347e+07 -3.3985609971909106e+07 -3.3952099468156047e+07 -3.3919512389253184e+07 -3.3883239693556495e+07 -3.3844765190049686e+07 -3.3803889833216213e+07 -3.3761535021538928e+07 -3.3716931570313595e+07 -3.3670014739835612e+07 -3.3618947081597701e+07 -3.3564287267361328e+07 -3.3505028336348552e+07 -3.3440383677986939e+07 -3.3369397413079660e+07 -3.3290992649014857e+07 -3.3203943327522837e+07 -3.3106846256725773e+07 -3.2998273549414463e+07 -3.2876533950455215e+07 -3.2739859598935857e+07 -3.2586348081380624e+07 -3.2414037382081199e+07 -3.2220959589905147e+07 -3.2005247602998499e+07 -3.1765675486310139e+07 -3.1500188873824816e+07 -3.1208788949495900e+07 -3.0892149778103936e+07 -3.0552755150574803e+07 -3.0194831509326585e+07 -2.9826423992371280e+07 -2.9459788973674130e+07 -2.9113140108928449e+07 -2.8813078993668783e+07 -2.8597380770005882e+07 -2.8520108306896266e+07 -2.8658884335275970e+07 -2.9127593175570611e+07 -3.0098761058834948e+07 -3.1845680586620618e+07 -3.4826206584750995e+07 2.5084506837245687e+06 +9.9387451462181586e-02 -1.2679555697652961e+06 -1.1530925905762904e+06 -9.5607464383520954e+05 -7.0124047201072366e+05 -4.5370684858903574e+05 -3.1088668854448298e+05 -3.1630936182964791e+05 -3.9778008303766366e+05 -4.8163961353479896e+05 -5.5314714220565523e+05 -6.2127278064355312e+05 -6.8729872425493225e+05 -7.4945788369111530e+05 -8.0716566258636850e+05 -8.6062414161365351e+05 -9.0954272322404163e+05 -9.5373025156370387e+05 -9.9351262791768531e+05 -1.0293450878814858e+06 -1.0616611162479832e+06 -1.0908447903566204e+06 -1.1169789777184676e+06 -1.1378181197919787e+06 -1.1487137869973602e+06 -1.1583107672787725e+06 -1.1754124192899994e+06 -1.1949957039344306e+06 -1.2138968950421214e+06 -1.2318369372678148e+06 -1.2490452905425294e+06 -1.2657988743807860e+06 -1.2823842548587003e+06 -1.2990995989020101e+06 -1.3162600876288451e+06 -1.3342041301481179e+06 -1.3533001944824664e+06 -1.3739546380904359e+06 -1.3966204641593404e+06 -1.4218076775808837e+06 -1.4500949283637214e+06 -1.4847019297847827e+06 -1.5246031501546139e+06 -1.5709113212225593e+06 -1.6249395064594459e+06 -1.6882494448638612e+06 -1.7627148726697820e+06 -1.8506060005060774e+06 -1.9547036350046322e+06 -2.0784577390234931e+06 -2.2261951820298992e+06 -2.4034650972401365e+06 -2.6173669271379937e+06 -2.8771346436187350e+06 -3.1951505580648817e+06 -3.5877835551314163e+06 -4.0769396887131636e+06 -4.6914701408741688e+06 -5.4683612729251329e+06 -6.4522844580738544e+06 -7.6917451430734778e+06 -9.2303867665334027e+06 -1.1093306047855539e+07 -1.3272378833214711e+07 -1.5716517179571899e+07 -1.8333017573849712e+07 -2.1000774624049455e+07 -2.3590910770954952e+07 -2.5988416603900235e+07 -2.8105353237526439e+07 -2.9889044641462423e+07 -3.1320763845546361e+07 -3.2409279769052692e+07 -3.3185953454932522e+07 -3.3698551149463594e+07 -3.4001727078490615e+07 -3.4153663619592644e+07 -3.4206512036750287e+07 -3.4201863814071074e+07 -3.4168032260950975e+07 -3.4135209105311714e+07 -3.4098694272087194e+07 -3.4059971059444338e+07 -3.4018834537146039e+07 -3.3976210080931075e+07 -3.3931323025688477e+07 -3.3884107648578078e+07 -3.3832715286560513e+07 -3.3777707929421693e+07 -3.3718072211453140e+07 -3.3653016520112939e+07 -3.3581578898109756e+07 -3.3502675605250381e+07 -3.3415072860009436e+07 -3.3317358183227275e+07 -3.3208095120630972e+07 -3.3085581443081222e+07 -3.2948038048585784e+07 -3.2793550427057110e+07 -3.2620144087264769e+07 -3.2425838605137948e+07 -3.2208755076892141e+07 -3.1967659421364438e+07 -3.1700484703245182e+07 -3.1407231901931416e+07 -3.1088579368744653e+07 -3.0747026688001461e+07 -3.0386827176526219e+07 -3.0016077127823815e+07 -2.9647110913497314e+07 -2.9298257679109804e+07 -2.8996288621196270e+07 -2.8779218881852072e+07 -2.8701455154140592e+07 -2.8841113617276382e+07 -2.9312802750331532e+07 -3.0290145835072931e+07 -3.2048173321004260e+07 -3.5047650906946562e+07 2.5386806760049579e+06 +1.0000000000000001e-01 -1.2844694201171009e+06 -1.1697260883625811e+06 -9.7291472681127780e+05 -7.1835083001554897e+05 -4.7108354535825411e+05 -3.2842186958082794e+05 -3.3384655177727912e+05 -4.1523768365938991e+05 -4.9901424723053805e+05 -5.7045139729959436e+05 -6.3850975788831117e+05 -7.0447027614783286e+05 -7.6656798341586033e+05 -8.2421913320344768e+05 -8.7762580237414397e+05 -9.2649795421219454e+05 -9.7064492596435302e+05 -1.0103925431066201e+06 -1.0461958517573030e+06 -1.0784882062845123e+06 -1.1076536375110338e+06 -1.1337753354155195e+06 -1.1546105326275392e+06 -1.1655164326635520e+06 -1.1751302577538146e+06 -1.1922470439395893e+06 -1.2118493687297967e+06 -1.2307776772863730e+06 -1.2487544509027638e+06 -1.2660103961783119e+06 -1.2828238835044736e+06 -1.2994832095357550e+06 -1.3162885986300781e+06 -1.3335576672350848e+06 -1.3516316971074296e+06 -1.3708825350495705e+06 -1.3917205057992609e+06 -1.4146032632618693e+06 -1.4400462630849085e+06 -1.4686345390655643e+06 -1.5036239815922859e+06 -1.5439794953369300e+06 -1.5908268636457161e+06 -1.6454947393303602e+06 -1.7095635706211959e+06 -1.7849296868216828e+06 -1.8738907915185310e+06 -1.9792614495268231e+06 -2.1045335291420426e+06 -2.2540863766052746e+06 -2.4335361763730804e+06 -2.6500675234877202e+06 -2.9130238076975266e+06 -3.2349313767142445e+06 -3.6323435531031745e+06 -4.1274010091648800e+06 -4.7492385913036596e+06 -5.5351571175159868e+06 -6.5301181271791598e+06 -7.7827906008224869e+06 -9.3367222238517329e+06 -1.1216541795655945e+07 -1.3413273762968926e+07 -1.5874725529756706e+07 -1.8507080488438655e+07 -2.1188365673906676e+07 -2.3789241598177772e+07 -2.6194672790560879e+07 -2.8317023324796051e+07 -3.0104117886991050e+07 -3.1537780502972126e+07 -3.2627265052134600e+07 -3.3404312942488324e+07 -3.3916951323103242e+07 -3.4219983273150340e+07 -3.4371682835295789e+07 -3.4424245811590269e+07 -3.4419287430412114e+07 -3.4385132524993561e+07 -3.4352071865056396e+07 -3.4315313525176555e+07 -3.4276340237894215e+07 -3.4234941131847516e+07 -3.4192045572007559e+07 -3.4146873380631901e+07 -3.4099357840058319e+07 -3.4047639019311816e+07 -3.3992282240825064e+07 -3.3932267699417531e+07 -3.3866798753487006e+07 -3.3794907334767975e+07 -3.3715502818536542e+07 -3.3627343659255005e+07 -3.3529008035104256e+07 -3.3419050885691147e+07 -3.3295758945454292e+07 -3.3157341810570136e+07 -3.3001872808870818e+07 -3.2827364906277686e+07 -3.2631825098058738e+07 -3.2413362615767986e+07 -3.2170735183095403e+07 -3.1901863234366290e+07 -3.1606747540522508e+07 -3.1286070762452081e+07 -3.0942348363272622e+07 -3.0579860679455072e+07 -3.0206755436617609e+07 -2.9835445426454123e+07 -2.9484375904135115e+07 -2.9180488590375911e+07 -2.8962039921796218e+07 -2.8883782275077853e+07 -2.9024327943253279e+07 -2.9499013478870995e+07 -3.0482565144862443e+07 -3.2251760634031087e+07 -3.5270292250609457e+07 2.5692699979991401e+06 +1.0496832277425809e-01 -1.4221017559798574e+06 -1.3082990661991891e+06 -1.1131127922499909e+06 -8.6067540536167845e+05 -6.1550386534816958e+05 -4.7408966257337679e+05 -4.7953099283435137e+05 -5.6029697373742878e+05 -6.4342183612207510e+05 -7.1430652299708803e+05 -7.8183686764166015e+05 -8.4728418595163140e+05 -9.0890016749336175e+05 -9.6610779138307914e+05 -1.0191091466250303e+06 -1.0676187249073484e+06 -1.1114497394088574e+06 -1.1509275592884696e+06 -1.1865058630738819e+06 -1.2186170328710841e+06 -1.2476449661662583e+06 -1.2736754854377152e+06 -1.2944880887829878e+06 -1.3054846924017053e+06 -1.3152434358763099e+06 -1.3324940881288277e+06 -1.3522637078979926e+06 -1.3714259941982157e+06 -1.3897160706304752e+06 -1.4073750899799198e+06 -1.4246935870201658e+06 -1.4419743459931985e+06 -1.4595348014720916e+06 -1.4777129171750601e+06 -1.4968739659705358e+06 -1.5174179970695642e+06 -1.5397884367871985e+06 -1.5644817330577127e+06 -1.5920587957434710e+06 -1.6231578861146059e+06 -1.6613365360794943e+06 -1.7054797935295543e+06 -1.7568222094374390e+06 -1.8168223340906403e+06 -1.8872164831760633e+06 -1.9700891748944675e+06 -2.0679670635311450e+06 -2.1839457594333473e+06 -2.3218658761532148e+06 -2.4865432644380489e+06 -2.6841514712993032e+06 -2.9225822008797284e+06 -3.2120860900359438e+06 -3.5663812312863800e+06 -4.0035415822889498e+06 -4.5476317248129342e+06 -5.2300920691360347e+06 -6.0907413172131144e+06 -7.1767956198106604e+06 -8.5380619897560738e+06 -1.0217040711721193e+07 -1.2234268688617300e+07 -1.4573640213094732e+07 -1.7173942870288964e+07 -1.9932470692235220e+07 -2.2720507102051258e+07 -2.5405318243653260e+07 -2.7871973998615213e+07 -3.0035517549103621e+07 -3.1847949313207380e+07 -3.3295588683144070e+07 -3.4391591563985988e+07 -3.5170724297789432e+07 -3.5683057651654705e+07 -3.5984528617954277e+07 -3.6134085434108920e+07 -3.6184224631215155e+07 -3.6176706732013687e+07 -3.6139917948833294e+07 -3.6104932177001350e+07 -3.6066203471476942e+07 -3.6025208124713831e+07 -3.5981686378947623e+07 -3.5936599488546267e+07 -3.5889122633949414e+07 -3.5839180822352692e+07 -3.5784823311435759e+07 -3.5726642241017506e+07 -3.5663565756276228e+07 -3.5594756566987939e+07 -3.5519197211274378e+07 -3.5435741417691715e+07 -3.5343084925135449e+07 -3.5239730203036182e+07 -3.5124162900543973e+07 -3.4994580430553235e+07 -3.4849101038826883e+07 -3.4685699750350192e+07 -3.4502288148811385e+07 -3.4296771543140844e+07 -3.4067163302838191e+07 -3.3812154725579679e+07 -3.3529564417917047e+07 -3.3219391353475519e+07 -3.2882353027215604e+07 -3.2521093246998910e+07 -3.2140110744123947e+07 -3.1747968958522022e+07 -3.1357714570734013e+07 -3.0988731154470690e+07 -3.0669338981668763e+07 -3.0439744720182288e+07 -3.0357494869601063e+07 -3.0505211643346317e+07 -3.1004116476593841e+07 -3.2037850812528420e+07 -3.3897315004336767e+07 -3.7069856418706402e+07 2.8237677860295894e+06 +1.0993664554851618e-01 -1.5663017318819126e+06 -1.4533904495489213e+06 -1.2597459913349005e+06 -1.0093268296278493e+06 -7.6614455240048317e+05 -6.2591496798225632e+05 -6.3137331648719462e+05 -7.1154753116989636e+05 -7.9405562047666847e+05 -8.6441789214052772e+05 -9.3144932112388441e+05 -9.9641215856246732e+05 -1.0575739444437353e+06 -1.1143641017842239e+06 -1.1669848604885479e+06 -1.2151550952380903e+06 -1.2586918145545132e+06 -1.2979201318960304e+06 -1.3332925857689260e+06 -1.3652408790053956e+06 -1.3941490117561393e+06 -1.4201056371375830e+06 -1.4409117564521825e+06 -1.4520124352997113e+06 -1.4619305739454790e+06 -1.4793344258658348e+06 -1.4992937424163979e+06 -1.5187145336298745e+06 -1.5373448789742109e+06 -1.5554369726671521e+06 -1.5732942117517227e+06 -1.5912346670385913e+06 -1.6095939075936861e+06 -1.6287312988092713e+06 -1.6490373309494455e+06 -1.6709416709186085e+06 -1.6949224852438488e+06 -1.7215169202402334e+06 -1.7513335482935023e+06 -1.7850664312483065e+06 -1.8265893326674383e+06 -1.8747033794756189e+06 -1.9307570509454363e+06 -1.9963449237155367e+06 -2.0733664866718855e+06 -2.1641032019038741e+06 -2.2713212281527761e+06 -2.3984100256059347e+06 -2.5495745974112814e+06 -2.7300864652555268e+06 -2.9467003000875749e+06 -3.2080436868713438e+06 -3.5253088348053689e+06 -3.9134458529762337e+06 -4.3920905709709097e+06 -4.9872641428048015e+06 -5.7327136891952883e+06 -6.6707073767269244e+06 -7.8505286449581133e+06 -9.3227804265658818e+06 -1.1128439319774402e+07 -1.3283446155549409e+07 -1.5764204746690428e+07 -1.8500418184592646e+07 -2.1380767394299205e+07 -2.4270319859092116e+07 -2.7033557648073222e+07 -2.9556189471321613e+07 -3.1756299897445917e+07 -3.3590241882731967e+07 -3.5048859084216274e+07 -3.6149144455484509e+07 -3.6928780099187590e+07 -3.7439754196487166e+07 -3.7739012791253336e+07 -3.7886062062735155e+07 -3.7933598462201647e+07 -3.7923449303082719e+07 -3.7884009004838876e+07 -3.7847100875712223e+07 -3.7806410255060822e+07 -3.7763403931817360e+07 -3.7717772119267434e+07 -3.7670507179801755e+07 -3.7620739788292572e+07 -3.7568386313700981e+07 -3.7511406230787054e+07 -3.7450418119670928e+07 -3.7384298393076763e+07 -3.7312169359869748e+07 -3.7232964465976901e+07 -3.7145482132986642e+07 -3.7048355836238295e+07 -3.6940012453279600e+07 -3.6818869248082198e+07 -3.6683034650315560e+07 -3.6530536112898827e+07 -3.6359250957736850e+07 -3.6166990005061723e+07 -3.5951557498041637e+07 -3.5710871596141301e+07 -3.5443557244414911e+07 -3.5147332307548374e+07 -3.4822193773563497e+07 -3.4468893759213172e+07 -3.4090203633792527e+07 -3.3690839190854050e+07 -3.3279777047574814e+07 -3.2870693966813479e+07 -3.2483905809293751e+07 -3.2149103412150599e+07 -3.1908431589632995e+07 -3.1822213972565699e+07 -3.1977058107209917e+07 -3.2500034424021170e+07 -3.3583645159561314e+07 -3.5532827238999598e+07 -3.8858438575079143e+07 3.0895786226408430e+06 +1.1490496832277426e-01 -1.7170650969156972e+06 -1.6050009631443874e+06 -1.4128234067916307e+06 -1.1643250330338932e+06 -9.2303618187700072e+05 -7.8393458984324499e+05 -7.8941020368316048e+05 -8.6902264085220045e+05 -9.5094530947013164e+05 -1.0208122047418175e+06 -1.0873709109116702e+06 -1.1518751016969038e+06 -1.2126075112536277e+06 -1.2690037683388072e+06 -1.3212662940438138e+06 -1.3691182515306224e+06 -1.4123804077698751e+06 -1.4513777644651909e+06 -1.4865619662101250e+06 -1.5183642894869044e+06 -1.5471690546336970e+06 -1.5730679524198466e+06 -1.5938828078530731e+06 -1.6051004237427686e+06 -1.6151920019832125e+06 -1.6327677321289026e+06 -1.6529384281525873e+06 -1.6726416014417580e+06 -1.6916385973662557e+06 -1.7101932414767044e+06 -1.7286224783023219e+06 -1.7472604591887956e+06 -1.7664617990717355e+06 -1.7866083150084096e+06 -1.8081169318518124e+06 -1.8314483429470272e+06 -1.8571170859762263e+06 -1.8857029017598894e+06 -1.9178642253461939e+06 -1.9543534813814871e+06 -1.9993752096596477e+06 -2.0516425621577664e+06 -2.1126230842627734e+06 -2.1840534776580348e+06 -2.2680036700425548e+06 -2.3669607666130583e+06 -2.4839409050070872e+06 -2.6226400831510015e+06 -2.7876431621447182e+06 -2.9846962263011271e+06 -3.2211583882096768e+06 -3.5064211465028469e+06 -3.8526513417620584e+06 -4.2760691614876697e+06 -4.7979096884827167e+06 -5.4461767911659619e+06 -6.2569152252940247e+06 -7.2747603127190312e+06 -8.5508609756824188e+06 -1.0136266562769588e+07 -1.2069963925964860e+07 -1.4362828088374997e+07 -1.6983465593328353e+07 -1.9852485310335033e+07 -2.2850266688488398e+07 -2.5836192771765936e+07 -2.8672546682391170e+07 -3.1246168096824918e+07 -3.3478502457071323e+07 -3.5330397704823561e+07 -3.6797228547723711e+07 -3.7899749438780360e+07 -3.8678447244218990e+07 -3.9187105649823464e+07 -3.9483562669389106e+07 -3.9627775387867726e+07 -3.9672548270574197e+07 -3.9659704202722281e+07 -3.9617597696866244e+07 -3.9578770618526809e+07 -3.9536126661143795e+07 -3.9491120343922175e+07 -3.9443390841800503e+07 -3.9393960903631285e+07 -3.9341916849736527e+07 -3.9287166053840913e+07 -3.9227579226420216e+07 -3.9163801014787383e+07 -3.9094656410291307e+07 -3.9019227564577639e+07 -3.8936399127282977e+07 -3.8844914546346955e+07 -3.8743345478883922e+07 -3.8630043319624022e+07 -3.8503357843965165e+07 -3.8361308827364422e+07 -3.8201833477277234e+07 -3.8022712001549803e+07 -3.7821655064524963e+07 -3.7596366453005090e+07 -3.7344669757740416e+07 -3.7065123637805499e+07 -3.6755346289799675e+07 -3.6415332528208919e+07 -3.6045868882956848e+07 -3.5649853515521556e+07 -3.5232217973431155e+07 -3.4802349559670061e+07 -3.4374551382731304e+07 -3.3970065662936360e+07 -3.3619945967414215e+07 -3.3368263387456808e+07 -3.3278102001299042e+07 -3.3440030542329449e+07 -3.3986933198484734e+07 -3.5120119595215045e+07 -3.7158478702085309e+07 -4.0636237061935075e+07 3.3666102066841545e+06 +1.1987329109703235e-01 -1.8743869122076794e+06 -1.7631298862888590e+06 -1.5723515583850089e+06 -1.3256859433858874e+06 -1.0862038672957190e+06 -9.4817907230525988e+05 -9.5367218573847983e+05 -1.0327499618121091e+06 -1.1141156132730662e+06 -1.1835115952513381e+06 -1.2496213445857752e+06 -1.3136903770395438e+06 -1.3740159649160223e+06 -1.4300397562768459e+06 -1.4819644468363414e+06 -1.5295173841635964e+06 -1.5725230601774002e+06 -1.6113065147456015e+06 -1.6463187156164292e+06 -1.6779907413335210e+06 -1.7067074741918156e+06 -1.7325637980809980e+06 -1.7534018132093125e+06 -1.7647488120588043e+06 -1.7750274908145482e+06 -1.7927931438837075e+06 -1.8131962054560354e+06 -1.8332049817065964e+06 -1.8525944130026828e+06 -1.8716405408403173e+06 -1.8906745336315541e+06 -1.9100474123406794e+06 -1.9301337391418132e+06 -1.9513388286005533e+06 -1.9741072476248059e+06 -1.9989321178769991e+06 -2.0263659711939681e+06 -2.0570330299989942e+06 -2.0916437836135188e+06 -2.1310115699366429e+06 -2.1796862011400415e+06 -2.2362888110267180e+06 -2.3024111248346926e+06 -2.3799380359804793e+06 -2.4711171342497258e+06 -2.5786498083626102e+06 -2.7058125658764672e+06 -2.8566205081858779e+06 -3.0360536382935178e+06 -3.2503512076813192e+06 -3.5074996259306804e+06 -3.8176815711386646e+06 -4.1940702671013339e+06 -4.6541917779507684e+06 -5.2209139173298068e+06 -5.9242429168361230e+06 -6.8025021477115685e+06 -7.9025987229537992e+06 -9.2773324528249949e+06 -1.0977844648737047e+07 -1.3040678786339933e+07 -1.5471209028665287e+07 -1.8229988349735070e+07 -2.1228570667943917e+07 -2.4339374362949062e+07 -2.7416628834942516e+07 -3.0320977290727004e+07 -3.2940843591493204e+07 -3.5201315070222437e+07 -3.7067847369298644e+07 -3.8540334728378914e+07 -3.9643209475704886e+07 -4.0419651593655147e+07 -4.0925122709517084e+07 -4.1218242802054718e+07 -4.1359320945762418e+07 -4.1401185459727868e+07 -4.1385589887659900e+07 -4.1340805091342039e+07 -4.1300063085174657e+07 -4.1255474530015208e+07 -4.1208479166009486e+07 -4.1158664236571714e+07 -4.1107082206463344e+07 -4.1052775206153072e+07 -4.0995641262278415e+07 -4.0933463334157951e+07 -4.0866911765324272e+07 -4.0794760433735423e+07 -4.0716051574312590e+07 -4.0629621332807958e+07 -4.0534158513365656e+07 -4.0428173395323977e+07 -4.0309941995066881e+07 -4.0177747490497775e+07 -4.0029521325849123e+07 -3.9863111004268602e+07 -3.9676200201614305e+07 -3.9466400026858211e+07 -3.9231314412754767e+07 -3.8968673015937924e+07 -3.8676968271955855e+07 -3.8353719775362171e+07 -3.7998919979145437e+07 -3.7613389620403759e+07 -3.7200152892477930e+07 -3.6764355803567231e+07 -3.6315793880335554e+07 -3.5869392884093240e+07 -3.5447315533161916e+07 -3.5081970385047384e+07 -3.4819343074631996e+07 -3.4725261638682969e+07 -3.4894232131080173e+07 -3.5464917670648187e+07 -3.6647382488123320e+07 -3.8774384058740161e+07 -4.2403377278432928e+07 3.6547705653034984e+06 +1.2484161387129043e-01 -2.0382615590269982e+06 -1.9277753491622431e+06 -1.7383348193290900e+06 -1.4934220009849784e+06 -1.2556680629891567e+06 -1.1186735637426423e+06 -1.1241843920166031e+06 -1.2027521341939820e+06 -1.2835865707165876e+06 -1.3525339126805093e+06 -1.4182163007271544e+06 -1.4818715822085172e+06 -1.5418109241388557e+06 -1.5974818538255696e+06 -1.6490873957593704e+06 -1.6963590125038489e+06 -1.7391248485381333e+06 -1.7777101639125245e+06 -1.8125654516460481e+06 -1.8441218051610547e+06 -1.8727649133442387e+06 -1.8985929761381627e+06 -1.9194678946427996e+06 -1.9309563603057333e+06 -1.9414354882846810e+06 -1.9594085795587359e+06 -1.9800644020553150e+06 -2.0004014386463563e+06 -2.0202085746059383e+06 -2.0397746418837630e+06 -2.0594457084358160e+06 -2.0795904447317647e+06 -2.1006042571045659e+06 -2.1229169986987361e+06 -2.1470020785508556e+06 -2.1733864416002734e+06 -2.2026622296922738e+06 -2.2355000250464086e+06 -2.2726645542792813e+06 -2.3150326073199399e+06 -2.3675137156868018e+06 -2.4286329617298241e+06 -2.5001113394652838e+06 -2.5839879675857681e+06 -2.6826952772921072e+06 -2.7991575201531416e+06 -2.9369218779424862e+06 -3.1003349941729712e+06 -3.2947871060502389e+06 -3.5270289386345334e+06 -3.8056965747087491e+06 -4.1417903453448201e+06 -4.5495202656697240e+06 -5.0477517656919882e+06 -5.6610149307739930e+06 -6.4213315630507683e+06 -7.3692749949965673e+06 -8.5539165606372021e+06 -1.0029481206775881e+07 -1.1846845042889135e+07 -1.4039668843084710e+07 -1.6607425525378007e+07 -1.9502405743555620e+07 -2.2627191427131895e+07 -2.5846603469206475e+07 -2.9010244111962114e+07 -3.1977649087312847e+07 -3.4639242948357761e+07 -3.6924001069808371e+07 -3.8802073461354986e+07 -4.0277846990501732e+07 -4.1379342007679835e+07 -4.2152320144079342e+07 -4.2653807760126784e+07 -4.2943103340083249e+07 -4.3080776348288298e+07 -4.3119601701418124e+07 -4.3101204284079157e+07 -4.3053731434917539e+07 -4.3011079072757848e+07 -4.2964554808664165e+07 -4.2915581321999945e+07 -4.2863693134188592e+07 -4.2809971800174363e+07 -4.2753415438160703e+07 -4.2693912380323939e+07 -4.2629158843047492e+07 -4.2559850497437410e+07 -4.2484710412743077e+07 -4.2402741145592719e+07 -4.2312730627531558e+07 -4.2213313345133804e+07 -4.2102938637084194e+07 -4.1979807241714917e+07 -4.1842136626087546e+07 -4.1687770221199751e+07 -4.1514466361689121e+07 -4.1319812768044606e+07 -4.1101321588327006e+07 -4.0856497497834839e+07 -4.0582976847984754e+07 -4.0279185909832597e+07 -3.9942546735402524e+07 -3.9573049228496723e+07 -3.9171548129216082e+07 -3.8741192910003975e+07 -3.8287342759125009e+07 -3.7820198988472782e+07 -3.7355306356075495e+07 -3.6915742271273069e+07 -3.6535262621245787e+07 -3.6261755964038268e+07 -3.6163777967120387e+07 -3.6339748369729251e+07 -3.6934074735625371e+07 -3.8165523632256471e+07 -4.0380638321427397e+07 -4.4159963130643897e+07 3.9539680538438899e+06 +1.2980993664554852e-01 -2.2086828615293824e+06 -2.0989343675013422e+06 -1.9107756562107308e+06 -1.6675428025815655e+06 -1.4314452752729431e+06 -1.2954387020604529e+06 -1.3009673985429266e+06 -1.3790475763929852e+06 -1.4593743434483530e+06 -1.5278933849658652e+06 -1.5931681860917525e+06 -1.6564292764931007e+06 -1.7160012654966048e+06 -1.7713373055538842e+06 -1.8226408976377649e+06 -1.8696474830986143e+06 -1.9121888868216895e+06 -1.9505906938671421e+06 -1.9853031312107833e+06 -2.0167575323464838e+06 -2.0453405875891217e+06 -2.0711539663776923e+06 -2.0920789403382991e+06 -2.1037206265023816e+06 -2.1144132877304759e+06 -2.1326108690012041e+06 -2.1535393291506846e+06 -2.1742267968577542e+06 -2.1944764557713973e+06 -2.2145904977929597e+06 -2.2349305650218334e+06 -2.2558837493734942e+06 -2.2778671938546975e+06 -2.3013363255029158e+06 -2.3267945903825159e+06 -2.3548041446888824e+06 -2.3859983496454488e+06 -2.4210960168693424e+06 -2.4609182845458370e+06 -2.5064079220293681e+06 -2.5628485771502992e+06 -2.6286652567897718e+06 -2.7057132871278338e+06 -2.7961920114787826e+06 -2.9027258362134490e+06 -3.0284703917475198e+06 -3.1772537483754191e+06 -3.3537663985210927e+06 -3.5638237071264628e+06 -3.8147058703584326e+06 -4.1157205251122704e+06 -4.4787113123810869e+06 -4.9189540690329559e+06 -5.4566847308822582e+06 -6.1181212364669032e+06 -6.9373077940926524e+06 -7.9570297372893598e+06 -9.2284036894731950e+06 -1.0806844373870376e+07 -1.2742604838385390e+07 -1.5066039673985984e+07 -1.7770354532836109e+07 -2.0799413619573630e+07 -2.4046948662909806e+07 -2.7370564966993943e+07 -3.0615756892602660e+07 -3.3641458431324616e+07 -3.6340476791967936e+07 -3.8645889915365085e+07 -4.0532605980995081e+07 -4.2009464642228819e+07 -4.3107979688175611e+07 -4.3876383750664309e+07 -4.4373159029028311e+07 -4.4658185122845128e+07 -4.4792206910383373e+07 -4.4827874838840216e+07 -4.4806630810356334e+07 -4.4756462217894204e+07 -4.4711904565845311e+07 -4.4663453619454943e+07 -4.4612512917853765e+07 -4.4558563561968915e+07 -4.4502715611314386e+07 -4.4443923360454679e+07 -4.4382065103689149e+07 -4.4314751318958089e+07 -4.4242702637789592e+07 -4.4164591623311847e+07 -4.4079381390012920e+07 -4.3985811942435533e+07 -4.3882463773146428e+07 -4.3767725714143321e+07 -4.3639723322840907e+07 -4.3496609237719208e+07 -4.3336139190664165e+07 -4.3155982879106402e+07 -4.2953632639835224e+07 -4.2726502249643274e+07 -4.2471997717727765e+07 -4.2187662714339048e+07 -4.1871857402527757e+07 -4.1521907345513463e+07 -4.1137799710313611e+07 -4.0720423037751220e+07 -4.0273051332785562e+07 -3.9801255693905391e+07 -3.9315640800387688e+07 -3.8832366781824455e+07 -3.8375419978358135e+07 -3.7979896013473928e+07 -3.7695574844088249e+07 -3.7593723578437589e+07 -3.7776652203267545e+07 -3.8394478532075085e+07 -3.9674619639562227e+07 -4.1977322555735700e+07 -4.5906083271122932e+07 4.2641113557556551e+06 +1.3477825941980662e-01 -2.3856440618120930e+06 -2.2766029909321195e+06 -2.0896748996260650e+06 -1.8480553601603801e+06 -1.6135486837025837e+06 -1.4784912223972944e+06 -1.4840379515764855e+06 -1.5616511390267545e+06 -1.6414918032604742e+06 -1.7096011791665852e+06 -1.7744865529772572e+06 -1.8373714271847771e+06 -1.8965934253988718e+06 -1.9516111615321492e+06 -2.0026286405170131e+06 -2.0493853164797435e+06 -2.0917165950153249e+06 -2.1299485353105008e+06 -2.1645313089613528e+06 -2.1958966557952887e+06 -2.2244324965071036e+06 -2.2502441148242760e+06 -2.2712317759516216e+06 -2.2830381519858860e+06 -2.2939571824707468e+06 -2.3123958948155176e+06 -2.3336164106373014e+06 -2.3546760461523109e+06 -2.3753926426778203e+06 -2.3960823199839578e+06 -2.4171229618419316e+06 -2.4389208505103318e+06 -2.4619157515612012e+06 -2.4865896953009367e+06 -2.5134773551370851e+06 -2.5431774798357193e+06 -2.5763662531087454e+06 -2.6138125772002428e+06 -2.6563961672466337e+06 -2.7051282882657708e+06 -2.7656810503748790e+06 -2.8363753697503801e+06 -2.9192059417692814e+06 -3.0165382984763701e+06 -3.1311959079764513e+06 -3.2665742299743430e+06 -3.4267923443158693e+06 -3.6168967625480904e+06 -3.8431426650966154e+06 -4.1133573973825150e+06 -4.4375415202046623e+06 -4.8284068016951205e+06 -5.3023225212955987e+06 -5.8809238758629076e+06 -6.5921382660493804e+06 -7.4720328554240754e+06 -8.5655580571364351e+06 -9.9257463253709245e+06 -1.1608958653833104e+07 -1.3664468284627702e+07 -1.6118917227790143e+07 -1.8958911676297359e+07 -2.2119766991840214e+07 -2.5486520857731014e+07 -2.8909958974425390e+07 -3.2231977569628522e+07 -3.5311388099882573e+07 -3.8043729960478865e+07 -4.0366369488759421e+07 -4.2259016751762412e+07 -4.3734913484273665e+07 -4.4828968830976799e+07 -4.5591777087091893e+07 -4.6083171634953760e+07 -4.6363521433970481e+07 -4.6493667818346612e+07 -4.6526071266496994e+07 -4.6501940850479521e+07 -4.6449070681477576e+07 -4.6402613251042902e+07 -4.6352244775621273e+07 -4.6299347755900055e+07 -4.6243349255991787e+07 -4.6185387289701901e+07 -4.6124372526834376e+07 -4.6060172884356245e+07 -4.5990314102483250e+07 -4.5915541408047378e+07 -4.5834477157824069e+07 -4.5746045258924201e+07 -4.5648938074007250e+07 -4.5541682423060559e+07 -4.5422607062249124e+07 -4.5289762462569855e+07 -4.5141237312794879e+07 -4.4974699956299655e+07 -4.4787731980683349e+07 -4.4577730906349950e+07 -4.4342012724393263e+07 -4.4077885364894763e+07 -4.3782800437155165e+07 -4.3455052049908556e+07 -4.3091870326437213e+07 -4.2693239509922639e+07 -4.2260081740724176e+07 -4.1795794815277837e+07 -4.1306160481570572e+07 -4.0802184386098988e+07 -4.0300638431604318e+07 -3.9826412168643929e+07 -3.9415933421337843e+07 -3.9120862103915468e+07 -3.9015160693201393e+07 -3.9205006154891901e+07 -3.9846192606230684e+07 -4.1174736176725239e+07 -4.3564506246329263e+07 -4.7641813687020682e+07 4.5851094824946672e+06 +1.3974658219406472e-01 -2.5691378960721041e+06 -2.4607764879258666e+06 -2.2750319969598996e+06 -2.0349646293374281e+06 -1.8019885275432051e+06 -1.6678445764745842e+06 -1.6734094893352611e+06 -1.7505745822373736e+06 -1.8299489776339855e+06 -1.8976658574615861e+06 -1.9621784892923799e+06 -2.0247037607467812e+06 -2.0835917740859643e+06 -2.1383065726882867e+06 -2.1890526482359320e+06 -2.2355734349053903e+06 -2.2777079209197625e+06 -2.3157827784729986e+06 -2.3502482614946640e+06 -2.3815367535400344e+06 -2.4100375654404839e+06 -2.4358597698898264e+06 -2.4569222904815376e+06 -2.4689045699264985e+06 -2.4800625792367016e+06 -2.4987586978036514e+06 -2.5202902739720847e+06 -2.5417434229164994e+06 -2.5629510080034826e+06 -2.5842436422206573e+06 -2.6060161110814316e+06 -2.6286946531396327e+06 -2.6527425368301803e+06 -2.6786694190365216e+06 -2.7070423856175523e+06 -2.7384981531770816e+06 -2.7737573245950439e+06 -2.8136407457662011e+06 -2.8590888650798714e+06 -2.9111839483703445e+06 -2.9760008620236493e+06 -3.0517524246048955e+06 -3.1405777105441182e+06 -3.2450143684986494e+06 -3.3680919660157776e+06 -3.5134541747306115e+06 -3.6855211085832939e+06 -3.8897073271711846e+06 -4.1327223014403530e+06 -4.4229578745080698e+06 -4.7711283744745832e+06 -5.1908376518482119e+06 -5.6995746102957493e+06 -6.3204000475573950e+06 -7.0829684589239620e+06 -8.0253643252943959e+06 -9.1946476137424130e+06 -1.0645627444552412e+07 -1.2435360808275146e+07 -1.4611787130981127e+07 -1.7197447507275697e+07 -2.0172049582472306e+07 -2.3462276397817548e+07 -2.6944658035416428e+07 -3.0463566992328759e+07 -3.3857799745342717e+07 -3.6986498288861170e+07 -3.9748253336550251e+07 -4.2084879413604744e+07 -4.3980914540307082e+07 -4.5453942732385419e+07 -4.6542167920421198e+07 -4.7298438414248928e+07 -4.7783838260131553e+07 -4.8059139260723181e+07 -4.8185205730300277e+07 -4.8214247706347413e+07 -4.8187195607970074e+07 -4.8131619699990802e+07 -4.8083268405398555e+07 -4.8030991671024352e+07 -4.7976149223610111e+07 -4.7918113547456332e+07 -4.7858050092808843e+07 -4.7794826112484977e+07 -4.7728298810143307e+07 -4.7655910185914919e+07 -4.7578429697849341e+07 -4.7494429795007259e+07 -4.7402795410009824e+07 -4.7302171547069594e+07 -4.7191031672767319e+07 -4.7067644896298066e+07 -4.6929986694155715e+07 -4.6776082681332529e+07 -4.6603514120006099e+07 -4.6409775012181990e+07 -4.6192168625992663e+07 -4.5947913748234816e+07 -4.5674220813481659e+07 -4.5368449986473285e+07 -4.5028829373365834e+07 -4.4652494702456720e+07 -4.4239427105634809e+07 -4.3790582123297177e+07 -4.3309480606824003e+07 -4.2802113700974829e+07 -4.2279885634236149e+07 -4.1760176507055856e+07 -4.1268773394424126e+07 -4.0843428835017405e+07 -4.0537671329552740e+07 -4.0428142752717756e+07 -4.0624863925960444e+07 -4.1289271538088307e+07 -4.2665929644993410e+07 -4.5142249074483953e+07 -4.9367219643308125e+07 4.9168717734185960e+06 +1.4471490496832282e-01 -2.7591566012162133e+06 -2.6514492716774167e+06 -2.4668451623689816e+06 -2.2282735647771126e+06 -1.9967725944362574e+06 -1.8635093256625871e+06 -1.8690925974267621e+06 -1.9458269978647071e+06 -2.0247534122172906e+06 -2.0920936410828019e+06 -2.1562490185570880e+06 -2.2184300154762054e+06 -2.2769989226193381e+06 -2.3314249726683642e+06 -2.3819133767169663e+06 -2.4282113453241852e+06 -2.4701615305894865e+06 -2.5080912960043545e+06 -2.5424511686922968e+06 -2.5736743526120610e+06 -2.6021517522363709e+06 -2.6279963880897048e+06 -2.6491455177906766e+06 -2.6613146785546164e+06 -2.6727240826149560e+06 -2.6916935483085578e+06 -2.7135548181193681e+06 -2.7354224738544407e+06 -2.7571447689835448e+06 -2.7790673720780364e+06 -2.8016026253288677e+06 -2.8251974841536656e+06 -2.8503395970509616e+06 -2.8775672645704690e+06 -2.9074811644211276e+06 -2.9407573505765060e+06 -2.9781624349619839e+06 -3.0205710521716326e+06 -3.0689865308362325e+06 -3.1245646315673781e+06 -3.1937972179784761e+06 -3.2747850120838713e+06 -3.3698164491840890e+06 -3.4816071851478601e+06 -3.6133998742217966e+06 -3.7690947125853864e+06 -3.9534227730836174e+06 -4.1721785463782041e+06 -4.4325400494415034e+06 -4.7434806317600636e+06 -5.1164486908384832e+06 -5.5659632316531958e+06 -6.1106574971380094e+06 -6.7750417843246702e+06 -7.5905113439941034e+06 -8.5971562618440781e+06 -9.8440822957439106e+06 -1.1387727165375138e+07 -1.3285588111415563e+07 -1.5583920909773802e+07 -1.8300796220002137e+07 -2.1408756288169097e+07 -2.4825804542145062e+07 -2.8420176471278176e+07 -3.2030244997342654e+07 -3.5492192424699888e+07 -3.8665918786091253e+07 -4.1453356792608611e+07 -4.3800905313094221e+07 -4.5697940870031178e+07 -4.7166322371238604e+07 -4.8247446312666804e+07 -4.8996309343629301e+07 -4.9475149674264558e+07 -4.9745060310564049e+07 -4.9866860079673782e+07 -4.9892452658528574e+07 -4.9862447621764444e+07 -4.9804163320333600e+07 -4.9753924441283219e+07 -4.9699748826346375e+07 -4.9642971838520370e+07 -4.9582910906616017e+07 -4.9520758427572139e+07 -4.9455338453635573e+07 -4.9386497141988814e+07 -4.9311593747897714e+07 -4.9231421597978011e+07 -4.9144503530190952e+07 -4.9049685734467559e+07 -4.8945566138449572e+07 -4.8830565172871709e+07 -4.8702892726578116e+07 -4.8560449371665493e+07 -4.8401198522428408e+07 -4.8222634664947860e+07 -4.8022164736688107e+07 -4.7796998314495452e+07 -4.7544257559391230e+07 -4.7261055990692936e+07 -4.6944662941951133e+07 -4.6593240566864096e+07 -4.6203831239723869e+07 -4.5776412794183798e+07 -4.5311973972029455e+07 -4.4814157947095096e+07 -4.4289164015044078e+07 -4.3748792614192389e+07 -4.3211028486672066e+07 -4.2702550575742006e+07 -4.2262428690987460e+07 -4.1946048609840684e+07 -4.1832715721307747e+07 -4.2036271704368696e+07 -4.2723762271440007e+07 -4.4148248554851465e+07 -4.6710602372074932e+07 -5.1082357273714945e+07 5.2593078956790613e+06 +1.4968322774258092e-01 -2.9556919987772000e+06 -2.8486150939052100e+06 -2.6651113699815753e+06 -2.4279835685823509e+06 -2.1979064617728675e+06 -2.0654935454880153e+06 -2.0710953166682043e+06 -2.1474151698863343e+06 -2.2259105351326661e+06 -2.2928888035245901e+06 -2.3567012221544106e+06 -2.4185522029271848e+06 -2.4768157947674599e+06 -2.5309663969952161e+06 -2.5812098792405180e+06 -2.6272972957415800e+06 -2.6690748841196219e+06 -2.7068708659622669e+06 -2.7411361899415916e+06 -2.7723050639735810e+06 -2.8007701570466016e+06 -2.8266485922050942e+06 -2.8478957078846372e+06 -2.8602625242962386e+06 -2.8719355555663467e+06 -2.8911940111992504e+06 -2.9134032725882693e+06 -2.9357061077942480e+06 -2.9579665336207724e+06 -2.9805458328975048e+06 -3.0038745547033153e+06 -3.0284211261594496e+06 -3.0546984506855356e+06 -3.0832744836494131e+06 -3.1147846683685239e+06 -3.1499457596923509e+06 -3.1895719614982475e+06 -3.2345935343153351e+06 -3.2860788244154360e+06 -3.3452595697357911e+06 -3.4190588180715987e+06 -3.5054612034498057e+06 -3.6069094750286168e+06 -3.7263031481645633e+06 -3.8671048989536823e+06 -4.0334796885128939e+06 -4.2304793704747073e+06 -4.4642900990483845e+06 -4.7425724665348027e+06 -5.0748979878087565e+06 -5.4734688762337323e+06 -5.9537414600070948e+06 -6.5355165445574783e+06 -7.2447753616285538e+06 -8.1146636197592663e+06 -9.1872593461638875e+06 -1.0513642463214159e+07 -1.2151723105811177e+07 -1.4159178758047044e+07 -1.6580237166934351e+07 -1.9428148405071747e+07 -2.2668053725089643e+07 -2.6209263202258743e+07 -2.9911953909602560e+07 -3.3608917287030049e+07 -3.7134193136406898e+07 -4.0348842136623405e+07 -4.3158403072777174e+07 -4.5513973855548270e+07 -4.7409766418856762e+07 -4.8871840876119912e+07 -4.9944683106602773e+07 -5.0685334610577710e+07 -5.1157095152009457e+07 -5.1421301845881931e+07 -5.1538664151719913e+07 -5.1560727602170691e+07 -5.1527742022484601e+07 -5.1466748038742758e+07 -5.1414628187439628e+07 -5.1358563170407362e+07 -5.1299862529659793e+07 -5.1237788222335584e+07 -5.1173559128663749e+07 -5.1105956324095018e+07 -5.1034814589034662e+07 -5.0957411426784880e+07 -5.0874563671041124e+07 -5.0784744843654878e+07 -5.0686762623093724e+07 -5.0579168140475988e+07 -5.0460329106938146e+07 -5.0328396615975551e+07 -5.0181196423595935e+07 -5.0016630614061736e+07 -4.9832107200236797e+07 -4.9624946573884338e+07 -4.9392265178675994e+07 -4.9131089125771277e+07 -4.8838435596678108e+07 -4.8511483704594344e+07 -4.8148329699292898e+07 -4.7745923639010102e+07 -4.7304239872272097e+07 -4.6824300144428566e+07 -4.6309869223009296e+07 -4.5767353314162701e+07 -4.5208946705233879e+07 -4.4653235241250627e+07 -4.4127784102567285e+07 -4.3672972963003322e+07 -4.3346033619397327e+07 -4.3228919166453004e+07 -4.3439269249938585e+07 -4.4149705216728516e+07 -4.5621734665385261e+07 -4.8269610327390395e+07 -5.2787274898921549e+07 5.6123278441098724e+06 +1.5465155051683901e-01 -3.1587354129854906e+06 -3.0522670474639372e+06 -2.8698267017981987e+06 -2.6340944330400168e+06 -2.4053937426005043e+06 -2.2738031548037035e+06 -2.2794235488851666e+06 -2.3553438061114140e+06 -2.4334238413591664e+06 -2.5000537574649737e+06 -2.5635365257216110e+06 -2.6250708072710610e+06 -2.6830419757601726e+06 -2.7369295139298248e+06 -2.7869400259105233e+06 -2.8328283835405642e+06 -2.8744444174698587e+06 -2.9121172933405903e+06 -2.9462985821650792e+06 -2.9774236234015278e+06 -3.0058870639431612e+06 -3.0318102616534685e+06 -3.0531664030595138e+06 -3.0657414604740250e+06 -3.0776901794881984e+06 -3.0972530012288913e+06 -3.1198282464855802e+06 -3.1425866382083916e+06 -3.1654083388235290e+06 -3.1886707977014151e+06 -3.2128234171516392e+06 -3.2383568454576819e+06 -3.2658101125371470e+06 -3.2957818345923275e+06 -3.3289433891095691e+06 -3.3660535886084996e+06 -3.4079758049326893e+06 -3.4556977540070349e+06 -3.5103549272679244e+06 -3.5732575108371307e+06 -3.6517738685825747e+06 -3.7437685622736770e+06 -3.8518435782237835e+06 -3.9790881041275375e+06 -4.1291917194152153e+06 -4.3065923160921466e+06 -4.5166722443151735e+06 -4.7660208993753949e+06 -5.0627952453110646e+06 -5.4171812621566895e+06 -5.8421541560515165e+06 -6.3541288246770119e+06 -6.9740953443369605e+06 -7.7295248368006414e+06 -8.6553192327648792e+06 -9.7955210214730538e+06 -1.1203105179503974e+07 -1.2937290718354801e+07 -1.5055672232709361e+07 -1.7600111646839201e+07 -2.0578708042558610e+07 -2.3948996278649718e+07 -2.7611610371325746e+07 -3.1418925228645649e+07 -3.5198570976701610e+07 -3.8782901848759092e+07 -4.2034517649431579e+07 -4.4862802464045174e+07 -4.7223648459294952e+07 -4.9116087905031197e+07 -5.0570303242107339e+07 -5.1633766159134693e+07 -5.2365461860372946e+07 -5.2829662807736240e+07 -5.3087877372753568e+07 -5.3200645978600711e+07 -5.3219107996389464e+07 -5.3183117580015898e+07 -5.3119413864992186e+07 -5.3065419957261048e+07 -5.3007475109721102e+07 -5.2946861706019394e+07 -5.2882785869914822e+07 -5.2816492524941608e+07 -5.2746720000328213e+07 -5.2673291372095995e+07 -5.2593403382569604e+07 -5.2507896011528045e+07 -5.2415193759353176e+07 -5.2314066022435278e+07 -5.2203017415102504e+07 -5.2080363243405834e+07 -5.1944196228915013e+07 -5.1792267398456365e+07 -5.1622418375222079e+07 -5.1431970999512136e+07 -5.1218159634220667e+07 -5.0978008145828381e+07 -5.0708447168929406e+07 -5.0406398122485228e+07 -5.0068950507855460e+07 -4.9694134718209796e+07 -4.9278809530885145e+07 -4.8822945622363746e+07 -4.8327597544892095e+07 -4.7796650933511816e+07 -4.7236717669923007e+07 -4.6660383538945355e+07 -4.6086831964228019e+07 -4.5544508754558794e+07 -4.5075096072306626e+07 -4.4737660521693282e+07 -4.4616787159357339e+07 -4.4833890799782827e+07 -4.5567135171125099e+07 -4.7086423935306676e+07 -4.9819310990974583e+07 -5.4482014126797013e+07 5.9758419411111753e+06 +1.5961987329109711e-01 -3.3682777572479085e+06 -3.2623976087768674e+06 -3.0809862748185494e+06 -2.8466048293104959e+06 -2.6192364028263111e+06 -2.4884420354343471e+06 -2.4940812155145081e+06 -2.5696157649615854e+06 -2.6472950874784598e+06 -2.7135894014168051e+06 -2.7767549755564160e+06 -2.8379849264668263e+06 -2.8956757071384890e+06 -2.9493117897560326e+06 -2.9991005587168657e+06 -3.0448006934225145e+06 -3.0862656059470815e+06 -3.1238255123915756e+06 -3.1579327535726079e+06 -3.1890239892291366e+06 -3.2174960246958937e+06 -3.2434745703079593e+06 -3.2649504857289935e+06 -3.2777441921850643e+06 -3.2899805026689940e+06 -3.3098628193901549e+06 -3.3328217630173168e+06 -3.3560558176914989e+06 -3.3794616819222942e+06 -3.4034335172468261e+06 -3.4284402239937074e+06 -3.4549954154078071e+06 -3.4836651149920467e+06 -3.5150796015582541e+06 -3.5499473505557412e+06 -3.5890705816559084e+06 -3.6333634039362702e+06 -3.6838728102929383e+06 -3.7418035547082587e+06 -3.8085467303855787e+06 -3.8919300929793841e+06 -3.9896941545473174e+06 -4.1046050313463239e+06 -4.2399473557236400e+06 -4.3996444366935370e+06 -4.5884151864249157e+06 -4.8119820581227653e+06 -5.0773491061583832e+06 -5.3931832234553350e+06 -5.7703007863318697e+06 -6.2224685876274118e+06 -6.7670804002240449e+06 -7.4263357439576313e+06 -8.2292120929825706e+06 -9.2123694548192471e+06 -1.0421785628540298e+07 -1.1912244433130547e+07 -1.3744103603480741e+07 -1.5974609643232966e+07 -1.8642928437039655e+07 -2.1751697650388196e+07 -2.5250669417591326e+07 -2.9031847615814522e+07 -3.2940078500898730e+07 -3.6798251063687831e+07 -4.0437475569034956e+07 -4.3722246121298887e+07 -4.6566008134917818e+07 -4.8929525553514563e+07 -5.0816625382639572e+07 -5.2261529272068918e+07 -5.3314591223176606e+07 -5.4036641447467968e+07 -5.4492839864418380e+07 -5.4744797213420518e+07 -5.4852829087384194e+07 -5.4867624118171580e+07 -5.4828607581596501e+07 -5.4762195215675503e+07 -5.4706334445080072e+07 -5.4646519425507784e+07 -5.4584004153077096e+07 -5.4517938606689364e+07 -5.4449593333815582e+07 -5.4377664154688828e+07 -5.4301962115646191e+07 -5.4219604187079981e+07 -5.4131453135392852e+07 -5.4035884732196324e+07 -5.3931630321088046e+07 -5.3817148277879007e+07 -5.3690701817162119e+07 -5.3550325710824676e+07 -5.3393696342210069e+07 -5.3218595740185224e+07 -5.3022259871985264e+07 -5.2801837586474441e+07 -5.2554260726860963e+07 -5.2276365022706717e+07 -5.1964976703524128e+07 -5.1617096265344277e+07 -5.1230688291238427e+07 -5.0802521309884682e+07 -5.0332562139637589e+07 -4.9821897943122052e+07 -4.9274534499370091e+07 -4.8697288134962626e+07 -4.8103133789229810e+07 -4.7511848952541366e+07 -4.6952754472268522e+07 -4.6468827650922097e+07 -4.6120958727035820e+07 -4.5996349030784197e+07 -4.6220165827220790e+07 -4.6976082090258412e+07 -4.8542347320172206e+07 -5.1359737119313449e+07 -5.6166610775099427e+07 6.3497608365296377e+06 +1.6458819606535521e-01 -3.5843095116473441e+06 -3.4789987231385950e+06 -3.2985843792915735e+06 -3.0655120139373215e+06 -2.8394348646691912e+06 -2.7094124222895363e+06 -2.7150705446574944e+06 -2.7902323705060664e+06 -2.8675246217104979e+06 -2.9334951854813294e+06 -2.9963551993842311e+06 -3.0572924250583653e+06 -3.1147141230222574e+06 -3.1681096465807701e+06 -3.2176872708854177e+06 -3.2632094100599429e+06 -3.3045330454438692e+06 -3.3419896289191674e+06 -3.3760323728871285e+06 -3.4070994104898819e+06 -3.4355899007484666e+06 -3.4616340431827535e+06 -3.4832402047989299e+06 -3.4962628164802445e+06 -3.5087984836231489e+06 -3.5290151890989123e+06 -3.5523752913447339e+06 -3.5761048683397006e+06 -3.6001175472949282e+06 -3.6248247444690336e+06 -3.6507155018833992e+06 -3.6783271361109931e+06 -3.7082535260174708e+06 -3.7411576110019269e+06 -3.7777861236895421e+06 -3.8189860329566272e+06 -3.8657237475722916e+06 -3.9191073509006854e+06 -3.9804129665372935e+06 -4.0511150413572681e+06 -4.1395147411967488e+06 -4.2432245574601125e+06 -4.3651795977827851e+06 -4.5088656698620627e+06 -4.6784465816889843e+06 -4.8789302760322886e+06 -5.1163888033385891e+06 -5.3982521311612343e+06 -5.7337103928151922e+06 -6.1342259142025039e+06 -6.6143750729951812e+06 -7.1925498652560683e+06 -7.8921778726771018e+06 -8.7437568823463749e+06 -9.7857029586621448e+06 -1.1065894537408773e+07 -1.2640831350339657e+07 -1.4571833803469207e+07 -1.6915534022329357e+07 -1.9708080078205738e+07 -2.2946357873548057e+07 -2.6572188391288470e+07 -3.0469017627982009e+07 -3.4474451404558070e+07 -3.8407055987353668e+07 -4.2097123533515088e+07 -4.5411375174711458e+07 -4.8267512042308323e+07 -5.0631231308891475e+07 -5.2511119882950418e+07 -5.3945352082884662e+07 -5.4987061190144725e+07 -5.5698826248699814e+07 -5.6146612870986722e+07 -5.6392068983606808e+07 -5.6495233128171124e+07 -5.6506301768444046e+07 -5.6464240571926132e+07 -5.6395121666392654e+07 -5.6337401481532142e+07 -5.6275726029313348e+07 -5.6211319788606651e+07 -5.6143276326590471e+07 -5.6072891415251046e+07 -5.5998818608488001e+07 -5.5920856599824108e+07 -5.5836043575427622e+07 -5.5745264729251362e+07 -5.5646847396508098e+07 -5.5539485096258633e+07 -5.5421590243232317e+07 -5.5291374273379557e+07 -5.5146814429879308e+07 -5.4985512537310690e+07 -5.4805191895537369e+07 -5.4603002896680318e+07 -5.4376009388762943e+07 -5.4121051744288020e+07 -5.3834871357359335e+07 -5.3514199839381851e+07 -5.3155949285935111e+07 -5.2758018515460812e+07 -5.2317086838694200e+07 -5.1833117028998800e+07 -5.1307228663844995e+07 -5.0743546945318677e+07 -5.0149091417552225e+07 -4.9537223838513635e+07 -4.8928312264335588e+07 -4.8352547007486969e+07 -4.7854193185194179e+07 -4.7495953530945480e+07 -4.7367630007961452e+07 -4.7598119682208791e+07 -4.8376571738733187e+07 -4.9989531444702789e+07 -5.2890916886038728e+07 -5.7841095649345338e+07 6.7339955075345915e+06 +1.6955651883961331e-01 -3.8068208197216028e+06 -3.7020617032794147e+06 -3.5226145254781679e+06 -3.2908123475371180e+06 -3.0659881015451318e+06 -2.9367149624899486e+06 -2.9423921530971653e+06 -3.0171933863880895e+06 -3.0941113541787518e+06 -3.1597693123430377e+06 -3.2223346565347593e+06 -3.2829900229092380e+06 -3.3401532787853493e+06 -3.3933185411125780e+06 -3.4426949772046502e+06 -3.4880487976034642e+06 -3.5292405491662091e+06 -3.5666029905720097e+06 -3.6005903907443564e+06 -3.6316424774580421e+06 -3.6601609335585251e+06 -3.6862806113311769e+06 -3.7080272321279808e+06 -3.7212888572171237e+06 -3.7341355182061149e+06 -3.7547012932642088e+06 -3.7784797776531717e+06 -3.8027245078575332e+06 -3.8273664293303648e+06 -3.8528347559807501e+06 -3.8796393118119799e+06 -3.9083418511819630e+06 -3.9395649645868074e+06 -3.9740052458245857e+06 -4.0124488392832531e+06 -4.0557887980799470e+06 -4.1050453860395360e+06 -4.1613895821508518e+06 -4.2261709762161095e+06 -4.3009498027913254e+06 -4.3945145976881832e+06 -4.5043458670333987e+06 -4.6335525390820354e+06 -4.7858272847849820e+06 -4.9655811221114714e+06 -5.1781189538799096e+06 -5.4298718065437926e+06 -5.7287066467131553e+06 -6.0843499077070169e+06 -6.5089250316739520e+06 -7.0178353709454145e+06 -7.6304895191261135e+06 -8.3715601670298604e+06 -9.2730768688060362e+06 -1.0375205892477151e+07 -1.1727686275533454e+07 -1.3388634398566153e+07 -1.5420152077369044e+07 -1.7877990599530071e+07 -2.0794967643338565e+07 -2.4161947068405237e+07 -2.7912696991660584e+07 -3.1922201955762036e+07 -3.6021127947364353e+07 -4.0024133624118082e+07 -4.3761102909818895e+07 -4.7101295124279238e+07 -4.9966841323446192e+07 -5.2328418768582389e+07 -5.4199331349831730e+07 -5.5621616797286488e+07 -5.6651085422169037e+07 -5.7351971489447497e+07 -5.7790967877596907e+07 -5.8029697992478445e+07 -5.8127874404285364e+07 -5.8135162868613347e+07 -5.8090040979837000e+07 -5.8018218589604497e+07 -5.7958646673342824e+07 -5.7895120603679277e+07 -5.7828834302534968e+07 -5.7758824700022250e+07 -5.7686412410549894e+07 -5.7610208969841041e+07 -5.7530000397343569e+07 -5.7442747081619114e+07 -5.7349356285689473e+07 -5.7248107199818097e+07 -5.7137655746367157e+07 -5.7016368655782603e+07 -5.6882405897177361e+07 -5.6733687605065338e+07 -5.6567741129218422e+07 -5.6382231904383376e+07 -5.6174225044253454e+07 -5.5940699908106878e+07 -5.5678405948629119e+07 -5.5383990792532831e+07 -5.5054092003206216e+07 -5.4685533878992185e+07 -5.4276149518677436e+07 -5.3822530043343961e+07 -5.3324633995231733e+07 -5.2783613171671040e+07 -5.2203711478188261e+07 -5.1592150452741481e+07 -5.0962676342083968e+07 -5.0336244276350282e+07 -4.9743908473744199e+07 -4.9231214560802937e+07 -4.8862666655348986e+07 -4.8730651754066281e+07 -4.8967774133387588e+07 -4.9768626241256706e+07 -5.1427999172161028e+07 -5.4412874484492294e+07 -5.9505495201707855e+07 7.1284572584902439e+06 +1.7452484161387141e-01 -4.0358013834606200e+06 -3.9315774282546965e+06 -3.7530694712070394e+06 -3.5225011415771092e+06 -3.2988939687462253e+06 -3.1703489060075902e+06 -3.1760453229114781e+06 -3.2504973349348721e+06 -3.3270529933509617e+06 -3.3924087806750247e+06 -3.4546897056941958e+06 -3.5150734898455031e+06 -3.5719883197879782e+06 -3.6249329876104896e+06 -3.6741177103737602e+06 -3.7193123775328780e+06 -3.7603811744917077e+06 -3.7976582629757146e+06 -3.8315990620695404e+06 -3.8626451216215929e+06 -3.8912007525375946e+06 -3.9174056318558259e+06 -3.9393026947562769e+06 -3.9528133023043158e+06 -3.9659824680476286e+06 -3.9869118015773813e+06 -4.0111256702416856e+06 -4.0359049701873250e+06 -4.0611983522635973e+06 -4.0874533701276728e+06 -4.1152012653778717e+06 -4.1450289622035976e+06 -4.1775886138751162e+06 -4.2136114575066641e+06 -4.2539241989130778e+06 -4.2994673041763091e+06 -4.3513164400064107e+06 -4.4107072775927717e+06 -4.4790649589106869e+06 -4.5580379273090214e+06 -4.6569159885137081e+06 -4.7730437048548330e+06 -4.9097086214215942e+06 -5.0708159163768394e+06 -5.2610304687644448e+06 -5.4859619876921950e+06 -5.7524097359724753e+06 -6.0686885926157925e+06 -6.4450740926470235e+06 -6.8943655657674577e+06 -7.4328101086455509e+06 -8.0808502981809266e+06 -8.8644193960075993e+06 -9.8170876701205708e+06 -1.0980761953164659e+07 -1.2406996652577180e+07 -1.4155419581310112e+07 -1.6288728158740330e+07 -1.8861527046777010e+07 -2.1903000790444970e+07 -2.5397740885615256e+07 -2.9271366376572300e+07 -3.3390518893967219e+07 -3.7579235469441704e+07 -4.1648677665633298e+07 -4.5428714945965499e+07 -4.8791435299572431e+07 -5.1663555105044007e+07 -5.4020765321172506e+07 -5.5881036825384870e+07 -5.7290179394713007e+07 -5.8306579161803983e+07 -5.8996034583215185e+07 -5.9425890578177705e+07 -5.9657687579592705e+07 -5.9750766321865000e+07 -5.9754225968089037e+07 -5.9706029651020639e+07 -5.9631507696357086e+07 -5.9570091947943024e+07 -5.9504725146939747e+07 -5.9436569701729380e+07 -5.9364605717825510e+07 -5.9290178285741925e+07 -5.9211857176297128e+07 -5.9129415415729627e+07 -5.9039736579911217e+07 -5.8943749643445194e+07 -5.8839685942372344e+07 -5.8726164029603779e+07 -5.8601505227557458e+07 -5.8463818349565297e+07 -5.8310966840774484e+07 -5.8140403659442969e+07 -5.7949737237519540e+07 -5.7735947706406750e+07 -5.7495930447399445e+07 -5.7226344542911686e+07 -5.6923744419330202e+07 -5.6584674160443813e+07 -5.6205870869689599e+07 -5.5785101970358081e+07 -5.5318871420717426e+07 -5.4807133345832877e+07 -5.4251071568060003e+07 -5.3655047978682727e+07 -5.3026484888333082e+07 -5.2379510708103850e+07 -5.1735664158296831e+07 -5.1126857815355957e+07 -5.0599910526888162e+07 -5.0221116708956882e+07 -5.0085432827432670e+07 -5.0329147829215534e+07 -5.1152264551459394e+07 -5.2857770089007653e+07 -5.5925630640243843e+07 -6.1159832091740161e+07 7.5330577208238160e+06 +1.7949316438812951e-01 -4.2712405656149248e+06 -4.1675362955671195e+06 -3.9899414207978831e+06 -3.7605727541406462e+06 -3.5381490449081659e+06 -3.4103122634005272e+06 -3.4160280819609249e+06 -3.4901415068557616e+06 -3.5663461216255645e+06 -3.6314095859213015e+06 -3.6934157355080643e+06 -3.7535375978415888e+06 -3.8102134273321051e+06 -3.8629467106398717e+06 -3.9119486803033696e+06 -3.9569929462675690e+06 -3.9979472890096633e+06 -4.0351474162910273e+06 -4.0690500492558470e+06 -4.1000986696312348e+06 -4.1287004163335888e+06 -4.1549999104853985e+06 -4.1770571990270172e+06 -4.1908266270596157e+06 -4.2043296877527693e+06 -4.2256368904423984e+06 -4.2503029396911813e+06 -4.2756360232083974e+06 -4.3016028868795000e+06 -4.3286699617971042e+06 -4.3573905385050075e+06 -4.3883774413085990e+06 -4.4223132326833662e+06 -4.4599647765905429e+06 -4.5022004845777405e+06 -4.5500095588167692e+06 -4.6045246087718150e+06 -4.6670477855605455e+06 -4.7390818585281400e+06 -4.8223658877707208e+06 -4.9267047875813572e+06 -5.0493032240398433e+06 -5.1936321213618722e+06 -5.3638147638156051e+06 -5.5647764811326452e+06 -5.8024395496444320e+06 -6.0839806074444093e+06 -6.4181731826122822e+06 -6.8158544495695392e+06 -7.2905139932636824e+06 -7.8592587928624013e+06 -8.5435817916608024e+06 -9.3706906858648099e+06 -1.0375702899601914e+07 -1.1602252458411701e+07 -1.3103658881638827e+07 -1.4940950624672987e+07 -1.7177230996965885e+07 -1.9865693699291069e+07 -2.3031597791842088e+07 -2.6653031853799004e+07 -3.0647393951484710e+07 -3.4873121523026943e+07 -3.9147941895604514e+07 -4.3279924335000508e+07 -4.7099301509614065e+07 -5.0481260764097132e+07 -5.3357241671786949e+07 -5.5707970467609048e+07 -5.7556028850404404e+07 -5.8950905697289623e+07 -5.9953463007992946e+07 -6.0630974983195603e+07 -6.1051366425684497e+07 -6.1276039399819076e+07 -6.1363919772581808e+07 -6.1363506677206695e+07 -6.1312224303354166e+07 -6.1235007500320159e+07 -6.1171756018518105e+07 -6.1104558438999109e+07 -6.1034544775554873e+07 -6.0960638156033047e+07 -6.0884207796168499e+07 -6.0803781959076092e+07 -6.0719120360271178e+07 -6.0627030747348696e+07 -6.0528463449049912e+07 -6.0421602237837486e+07 -6.0305028523872308e+07 -6.0177018496954426e+07 -6.0035630125572987e+07 -5.9878670583587028e+07 -5.9703518520782642e+07 -5.9507726227578469e+07 -5.9288189148168817e+07 -5.9041719195756353e+07 -5.8764885631079130e+07 -5.8454150246003032e+07 -5.8105964212263219e+07 -5.7716978039342090e+07 -5.7284893519041732e+07 -5.6806128471909985e+07 -5.6280632420033030e+07 -5.5709621016366586e+07 -5.5097573421706624e+07 -5.4452111500584364e+07 -5.3787743508144520e+07 -5.3126588277898759e+07 -5.2501411207665421e+07 -5.1960297092090316e+07 -5.1571319580651470e+07 -5.1431989074102744e+07 -5.1682256692824185e+07 -5.2527502852654934e+07 -5.4278860918851607e+07 -5.7429203049446866e+07 -6.2804125665711135e+07 7.9477088528897064e+06 +1.8446148716238761e-01 -4.5131272369237253e+06 -4.4099281744918386e+06 -4.2332217864392307e+06 -4.0050208024009727e+06 -3.7837490021865750e+06 -3.6566018157215253e+06 -3.6623371680255630e+06 -3.7361221420405717e+06 -3.8119863386148117e+06 -3.8767666689561340e+06 -3.9385071708440972e+06 -3.9983762624952849e+06 -4.0548220882519418e+06 -4.1073526696845265e+06 -4.1561804121068977e+06 -4.2010825627816673e+06 -4.2419306194084976e+06 -4.2790618261709893e+06 -4.3129344217753373e+06 -4.3439939320438318e+06 -4.3726504569227761e+06 -4.3990537406047257e+06 -4.4212808397971801e+06 -4.4353188125163699e+06 -4.4491670464575989e+06 -4.4708662608665302e+06 -4.4960010966066439e+06 -4.5219069853417994e+06 -4.5485691645893650e+06 -4.5764734749837285e+06 -4.6061958831722131e+06 -4.6383758421748402e+06 -4.6737271653626459e+06 -4.7130533217945108e+06 -4.7572655671993401e+06 -4.8074031577575095e+06 -4.8646571774334963e+06 -4.9303980358390277e+06 -5.0062081939562308e+06 -5.0939197231487371e+06 -5.2038664222122254e+06 -5.3331091145490436e+06 -5.4853068310212418e+06 -5.6648065146695506e+06 -5.8768004725157153e+06 -6.1275312215957604e+06 -6.4245617898757523e+06 -6.7771349102941370e+06 -7.1966616646507168e+06 -7.6973358489887631e+06 -8.2971398207621276e+06 -9.0186322573347352e+06 -9.8903075447435118e+06 -1.0948834207392694e+07 -1.2239556417632896e+07 -1.3817503697451200e+07 -1.5744989156114992e+07 -1.8085328983353741e+07 -2.0890043754484486e+07 -2.4180185543105163e+07 -2.7927128965599578e+07 -3.2040002306617681e+07 -3.6369195882570632e+07 -4.0726453212022342e+07 -4.4917149403078333e+07 -4.8772241970195457e+07 -5.2170269379512422e+07 -5.5047515946190231e+07 -5.7389753840918250e+07 -5.9224114049331665e+07 -6.0603670473197296e+07 -6.1591662450757988e+07 -6.2256754045677170e+07 -6.2667380726439252e+07 -6.2884753665101089e+07 -6.2967343460978881e+07 -6.2963018038337588e+07 -6.2908639917429559e+07 -6.2828733714971036e+07 -6.2763654783626541e+07 -6.2694636441091031e+07 -6.2622775495250434e+07 -6.2546937975591853e+07 -6.2468516885058209e+07 -6.2385999240653828e+07 -6.2299131131703749e+07 -6.2204645460521273e+07 -6.2103513553484090e+07 -6.1993871909238778e+07 -6.1874265021481514e+07 -6.1742924223050579e+07 -6.1597856947118811e+07 -6.1436814514356866e+07 -6.1257101348441981e+07 -6.1056214458492965e+07 -6.0830964896146506e+07 -6.0578081615259461e+07 -6.0294044602782711e+07 -5.9975223580981225e+07 -5.9617977376006231e+07 -5.9218870503475532e+07 -5.8775539167267747e+07 -5.8284316074212372e+07 -5.7745145957581803e+07 -5.7159276106924854e+07 -5.6531302237351187e+07 -5.5869044550415538e+07 -5.5187388829309106e+07 -5.4509030549164496e+07 -5.3867582401092544e+07 -5.3312387865082495e+07 -5.2913288777231440e+07 -5.2770333964270629e+07 -5.3027114259885542e+07 -5.3894354901847102e+07 -5.5691285878036998e+07 -5.8923606754892223e+07 -6.4438392367878608e+07 8.3723229398297435e+06 +1.8942980993664571e-01 -4.7614501008574637e+06 -4.6587425570010841e+06 -4.4829015497722896e+06 -4.2558380638975091e+06 -4.0356884537781226e+06 -3.9092133573496272e+06 -3.9149684300564118e+06 -3.9884344127880805e+06 -4.0639681553127742e+06 -4.1284741763168829e+06 -4.1899576421866044e+06 -4.2495826406072183e+06 -4.3058068985494534e+06 -4.3581430999913393e+06 -4.4068046965357279e+06 -4.4515726850722022e+06 -4.4923222767549697e+06 -4.5293923054112494e+06 -4.5632426908179242e+06 -4.5943211573841665e+06 -4.6230408931114068e+06 -4.6495569244379895e+06 -4.6719632308699461e+06 -4.6862793662589593e+06 -4.7004839491066998e+06 -4.7225891585001443e+06 -4.7482092066234127e+06 -4.7747067403657800e+06 -4.8020858898786595e+06 -4.8308524340262013e+06 -4.8616056378449872e+06 -4.8950123096802589e+06 -4.9318183505489500e+06 -4.9728648079955028e+06 -5.0191069140868885e+06 -5.0716352918091360e+06 -5.1317010232302034e+06 -5.2007445455920100e+06 -5.2804300646247631e+06 -5.3726850437791385e+06 -5.4883858781312890e+06 -5.6244456079730028e+06 -5.7847160627332479e+06 -5.9737733494957723e+06 -6.1970832146564182e+06 -6.4612159998794487e+06 -6.7741300103666754e+06 -7.1455475547504164e+06 -7.5874656147668771e+06 -8.1147957337770704e+06 -8.7464104905857854e+06 -9.5059486369076073e+06 -1.0423201886993634e+07 -1.1536391321385451e+07 -1.2892550601819381e+07 -1.4548359471166776e+07 -1.6567294875428593e+07 -1.9012690163004655e+07 -2.1934133450313449e+07 -2.5348199554412961e+07 -2.9219357268245671e+07 -3.3448438206360053e+07 -3.7877959268220939e+07 -4.2314011144427307e+07 -4.6559665471141972e+07 -5.0446950382613301e+07 -5.3857989171042494e+07 -5.6734017239014871e+07 -5.9065853445941292e+07 -6.0885111874892548e+07 -6.2248356641167529e+07 -6.3221107455928519e+07 -6.3873334903998025e+07 -6.4273918716680877e+07 -6.4483829350750059e+07 -6.4561044185310252e+07 -6.4552770845236562e+07 -6.4495289073104784e+07 -6.4412699596594647e+07 -6.4345801671001755e+07 -6.4274972639990799e+07 -6.4201275358441077e+07 -6.4123518665902868e+07 -6.4043119027044922e+07 -6.3958522478592850e+07 -6.3869461169006236e+07 -6.3772594138095498e+07 -6.3668913353519246e+07 -6.3556508329647422e+07 -6.3433886869949199e+07 -6.3299235724773750e+07 -6.3150512101966336e+07 -6.2985411886084691e+07 -6.2801165356960617e+07 -6.2595215101551287e+07 -6.2364288073009454e+07 -6.2105030774161659e+07 -6.1813834465078846e+07 -6.1486977362445258e+07 -6.1120726512818366e+07 -6.0711561037214153e+07 -6.0257051594824977e+07 -5.9753446801543914e+07 -5.9200686416177608e+07 -5.8600049171069466e+07 -5.7956246621556051e+07 -5.7277296091029376e+07 -5.6578458577658594e+07 -5.5883002731784657e+07 -5.5225383017225616e+07 -5.4656194347735353e+07 -5.4247035714372009e+07 -5.4100478882672057e+07 -5.4363731970622301e+07 -5.5252832326215178e+07 -5.7095056981916264e+07 -6.0408854470094897e+07 -6.6062646094992250e+07 8.8068125934293400e+06 +1.9439813271090381e-01 -5.0161973195430906e+06 -4.9139684514653664e+06 -4.7389710318791550e+06 -4.5130166415210897e+06 -4.2939612616201900e+06 -4.1681417345655151e+06 -4.1739166731493752e+06 -4.2470725679903580e+06 -4.3222853501337757e+06 -4.3865253657360310e+06 -4.4477599867925160e+06 -4.5071490212967200e+06 -4.5631598819822222e+06 -4.6153095269338954e+06 -4.6638127228591284e+06 -4.7084541847194992e+06 -4.7491127595839510e+06 -4.7861291096110139e+06 -4.8199648622211581e+06 -4.8510700924367812e+06 -4.8798612496347250e+06 -4.9064987948714737e+06 -4.9290935337385610e+06 -4.9436973438502233e+06 -4.9582693533048611e+06 -4.9807943898188695e+06 -5.0069159028800717e+06 -5.0340237496643122e+06 -5.0621413516689967e+06 -5.0917949538622610e+06 -5.1236077369197216e+06 -5.1582745884394580e+06 -5.1965743289177855e+06 -5.2393865532968594e+06 -5.2877115955502558e+06 -5.3426927529174918e+06 -5.4056426211943971e+06 -5.4780734246381419e+06 -5.5617331554767545e+06 -5.6586470360871386e+06 -5.7802477039386434e+06 -5.9232964818840362e+06 -6.0918426532893917e+06 -6.2906969460762534e+06 -6.5256049420375992e+06 -6.8034722997842282e+06 -7.1326613589648502e+06 -7.5233841858731629e+06 -7.9882353737357743e+06 -8.5428573222080152e+06 -9.2070270119969621e+06 -1.0005476571316555e+07 -1.0969304057447622e+07 -1.2138282087800372e+07 -1.3561109612323416e+07 -1.5296052322194282e+07 -1.7407625718680777e+07 -1.9958982433119640e+07 -2.2997522225387789e+07 -2.6535083926325187e+07 -3.0529057459145036e+07 -3.4871971628412686e+07 -3.9398658641802363e+07 -4.3909891018144131e+07 -4.8206819491064049e+07 -5.2122872937361099e+07 -5.5543975957599334e+07 -5.8416407235456668e+07 -6.0736024088736720e+07 -6.2538853490816727e+07 -6.3884854562677696e+07 -6.4841732094053820e+07 -6.5480682353071548e+07 -6.5870965624981448e+07 -6.6073264371597618e+07 -6.6145027079956196e+07 -6.6132773918935828e+07 -6.6072182240077063e+07 -6.5986916240500145e+07 -6.5918207935373090e+07 -6.5845578346047834e+07 -6.5770055686717123e+07 -6.5690391542413749e+07 -6.5608025525451742e+07 -6.5521362961523376e+07 -6.5430121745505527e+07 -6.5330888036287993e+07 -6.5224674087142102e+07 -6.5109522717291422e+07 -6.4983905265691407e+07 -6.4845964174984567e+07 -6.4693606736716978e+07 -6.4524473816177845e+07 -6.4335721631393522e+07 -6.4124739205497824e+07 -6.3888169686730698e+07 -6.3622577634782806e+07 -6.3324266128949419e+07 -6.2989422443934113e+07 -6.2614222411650710e+07 -6.2195060357196771e+07 -6.1729441438410327e+07 -6.1213531201772891e+07 -6.0647264246130936e+07 -6.0031950553213611e+07 -5.9372416805161394e+07 -5.8676876233410187e+07 -5.7960962740972631e+07 -5.7248514690657891e+07 -5.6574822805019863e+07 -5.5991726188451797e+07 -5.5572569968352526e+07 -5.5422433379816756e+07 -5.5692119421709962e+07 -5.6602944879291192e+07 -5.8490184309663624e+07 -6.1884956859607257e+07 -6.7676898502946302e+07 9.2510907519697528e+06 +1.9936645548516191e-01 -5.2773568174495175e+06 -5.1755944796162182e+06 -5.0014200281956503e+06 -4.7765479255479155e+06 -4.5585602788076419e+06 -4.4333807015986778e+06 -4.4391757414842062e+06 -4.5120301601687185e+06 -4.5869308196429852e+06 -4.6509127029175498e+06 -4.7119062217541989e+06 -4.7710671877846699e+06 -4.8268722617798978e+06 -4.8788428959792927e+06 -4.9271951155377831e+06 -4.9717173126009768e+06 -5.0122920631250190e+06 -5.0492619670111258e+06 -5.0830903959459988e+06 -5.1142299996314021e+06 -5.1431005899059633e+06 -5.1698682203434678e+06 -5.1926604655119227e+06 -5.2075613624454280e+06 -5.2225117817372316e+06 -5.2454703324074633e+06 -5.2721093979031947e+06 -5.2998460627914714e+06 -5.3287234336019401e+06 -5.3592887493230551e+06 -5.3921897193061318e+06 -5.4281500303391619e+06 -5.4679822501092283e+06 -5.5126054853092507e+06 -5.5630662907437868e+06 -5.6205619396191407e+06 -5.6864680491845319e+06 -5.7623703801780446e+06 -5.8501027414409900e+06 -5.9517904668512177e+06 -6.0794360152293202e+06 -6.2296450637802761e+06 -6.4066689678496458e+06 -6.6155584833318973e+06 -6.8623453558983663e+06 -7.1542779597030245e+06 -7.5001312931788098e+06 -7.9106171694155158e+06 -8.3989392182498965e+06 -8.9814833701466937e+06 -9.6789445164037272e+06 -1.0517160415847888e+07 -1.1528542855507333e+07 -1.2754412511459174e+07 -1.4245105948504837e+07 -1.6060406226939471e+07 -1.8265738015057642e+07 -2.0923873728846546e+07 -2.4079772861832183e+07 -2.7740291312275525e+07 -3.1855585488126393e+07 -3.6309894849888682e+07 -4.0930569145415068e+07 -4.5513399782698072e+07 -4.9857990497604236e+07 -5.3799485646981791e+07 -5.7227811214595042e+07 -6.0094368188327506e+07 -6.2400035972851664e+07 -6.4185180775344983e+07 -6.5513061410092711e+07 -6.6453474208342418e+07 -6.7078762742645144e+07 -6.7458506723518729e+07 -6.7653055734090298e+07 -6.7719295824782521e+07 -6.7703034346929595e+07 -6.7639328030618280e+07 -6.7551392838147625e+07 -6.7480882916604385e+07 -6.7406462951988861e+07 -6.7329125884152263e+07 -6.7247566004695684e+07 -6.7163245770077288e+07 -6.7074530067243546e+07 -6.6981122226167984e+07 -6.6879536505892701e+07 -6.6770805089995302e+07 -6.6652924391198218e+07 -6.6524329509992428e+07 -6.6383118855132140e+07 -6.6227150110964902e+07 -6.6054009540125735e+07 -6.5860779380472399e+07 -6.5644795948870607e+07 -6.5402618882125869e+07 -6.5130731303874940e+07 -6.4825348658584312e+07 -6.4482567841635697e+07 -6.4098474035142399e+07 -6.3669377366066352e+07 -6.3192717534271099e+07 -6.2664578037264876e+07 -6.2084888128900081e+07 -6.1454988846796937e+07 -6.0779821287211865e+07 -6.0067793377242550e+07 -5.9334909616335899e+07 -5.8605574620970346e+07 -5.7915909863361180e+07 -5.7318991402753063e+07 -5.6889899494634338e+07 -5.6736205389308102e+07 -5.7012284585542388e+07 -5.7944700663672306e+07 -5.9876676234325454e+07 -6.3351922782476000e+07 -6.9281159272903770e+07 9.7050706800763458e+06 +2.0433477825942001e-01 -5.5449161004603542e+06 -5.4436087358396621e+06 -5.2702378899988290e+06 -5.0464226654702546e+06 -4.8294778580356613e+06 -4.7049234622500697e+06 -4.7107387283880906e+06 -4.7832995952343382e+06 -4.8578968235087181e+06 -4.9216279606738174e+06 -4.9823877620776193e+06 -5.0413280842630835e+06 -5.0969346947540035e+06 -5.1487335159577476e+06 -5.1969418408188391e+06 -5.2413517751466474e+06 -5.2818496588595072e+06 -5.3187800741693312e+06 -5.3526082951450562e+06 -5.3837896558655361e+06 -5.4127475156336073e+06 -5.4396536216972321e+06 -5.4626523098623296e+06 -5.4778596084790891e+06 -5.4931993326078923e+06 -5.5166049452681197e+06 -5.5437774955726396e+06 -5.5721613272344712e+06 -5.6018196231383560e+06 -5.6333211434727488e+06 -5.6673387359242365e+06 -5.7046256012817249e+06 -5.7460288788969088e+06 -5.7925081467908472e+06 -5.8451572929053903e+06 -5.9052288619216792e+06 -5.9741629924687790e+06 -6.0536207211114885e+06 -6.1455236915136548e+06 -6.2520996871008398e+06 -6.3859344983123979e+06 -6.5434742347538667e+06 -6.7291769035413926e+06 -6.9483386449275669e+06 -7.2072836279058820e+06 -7.5136102450750303e+06 -7.8765146422852892e+06 -8.3072181718673874e+06 -8.8195446337650903e+06 -9.4306357221257929e+06 -1.0162117067036331e+07 -1.1040943255203126e+07 -1.2100845559133161e+07 -1.3384686795687659e+07 -1.4944410074403862e+07 -1.6841243124538559e+07 -1.9141386637178905e+07 -2.1907032197377089e+07 -2.5180451612867273e+07 -2.8963282869361673e+07 -3.3198312166768752e+07 -3.7761521577719532e+07 -4.2472992711154968e+07 -4.7123874185058117e+07 -5.1512587531312793e+07 -5.5476292241914243e+07 -5.8909100142031536e+07 -6.1767601292226993e+07 -6.4057673440583527e+07 -6.5823945429282717e+07 -6.7132880602195948e+07 -6.8056275115895823e+07 -6.8667543879973292e+07 -6.9036527369484007e+07 -6.9223199666161075e+07 -6.9283852827034771e+07 -6.9263557691403151e+07 -6.9196733418844268e+07 -6.9106136901409075e+07 -6.9033834264853880e+07 -6.8957634157771304e+07 -6.8878493662699014e+07 -6.8795049761881903e+07 -6.8708787461964741e+07 -6.8618031486983523e+07 -6.8522470291767806e+07 -6.8418547216050327e+07 -6.8307314018712357e+07 -6.8186720994689524e+07 -6.8055167231287494e+07 -6.7910707377551988e+07 -6.7751149819346413e+07 -6.7574026632488400e+07 -6.7376346156739548e+07 -6.7155392859593332e+07 -6.6907643159438975e+07 -6.6629499250452459e+07 -6.6317089487974636e+07 -6.5966420950408146e+07 -6.5573488734008759e+07 -6.5134519365482345e+07 -6.4646887129596360e+07 -6.4106594494878106e+07 -6.3513565184819646e+07 -6.2869171099909015e+07 -6.2178467038448393e+07 -6.1450054411565304e+07 -6.0700306008871056e+07 -5.9954189244138569e+07 -5.9248650834751368e+07 -5.8637996564682849e+07 -5.8199030818022482e+07 -5.8041801418469101e+07 -5.8324234000955172e+07 -5.9278106324795939e+07 -6.1254539623229772e+07 -6.4809759504204780e+07 -7.0875436343353868e+07 1.0168665968562892e+07 +2.0930310103367811e-01 -5.8188623430749206e+06 -5.7179991982326191e+06 -5.5454134278578218e+06 -5.3226310202723444e+06 -5.1067053238532292e+06 -4.9827622058363119e+06 -4.9885978629504908e+06 -5.0608728853061702e+06 -5.1351746945472965e+06 -5.1986622493171757e+06 -5.2591953534828490e+06 -5.3179221243549204e+06 -5.3733372588270390e+06 -5.4249711456243424e+06 -5.4730423786076903e+06 -5.5173467816313226e+06 -5.5577745162679013e+06 -5.5946721591438120e+06 -5.6285070908463039e+06 -5.6597374001979399e+06 -5.6887901888969755e+06 -5.7158430015966315e+06 -5.7390569313417599e+06 -5.7545798504819265e+06 -5.7703196905479608e+06 -5.7941857809006022e+06 -5.8219076017203890e+06 -5.8509567972977906e+06 -5.8814170196736138e+06 -5.9138790749641676e+06 -5.9490415561773684e+06 -5.9876878871767092e+06 -6.0307006007709308e+06 -6.0790807007012768e+06 -6.1339705140175056e+06 -6.1966791457386818e+06 -6.2687127478354191e+06 -6.3518093618936213e+06 -6.4479804724677457e+06 -6.5595586356443139e+06 -6.6997264136539409e+06 -6.8647664328236356e+06 -7.0593478927895678e+06 -7.2890176226833891e+06 -7.5603984037284506e+06 -7.8814458521396331e+06 -8.2617856113936659e+06 -8.7131581651257146e+06 -9.2500183200691063e+06 -9.8902753186356388e+06 -1.0656497669037001e+07 -1.1576766918521672e+07 -1.2686137948818868e+07 -1.4029007382075716e+07 -1.5658890484317813e+07 -1.7638383019823767e+07 -2.0034325144798920e+07 -2.2908126360904265e+07 -2.6299128316169236e+07 -3.0203528199060526e+07 -3.4556622785412483e+07 -3.9226186121174507e+07 -4.4025256758993439e+07 -4.8740679078364171e+07 -5.3170047731851965e+07 -5.7152822253382720e+07 -6.0587469914391905e+07 -6.3435825217522241e+07 -6.5708733841649003e+07 -6.7455008176399514e+07 -6.8744221297956720e+07 -6.9650079339464977e+07 -7.0246994939424559e+07 -7.0605013039383978e+07 -7.0783691730735287e+07 -7.0838699379667208e+07 -7.0814348170626104e+07 -7.0744403933198705e+07 -7.0651154458182544e+07 -7.0577068137470588e+07 -7.0499098167751998e+07 -7.0418165238666058e+07 -7.0332849028746873e+07 -7.0244656809821859e+07 -7.0151873421627045e+07 -7.0054172134879366e+07 -6.9947926349934250e+07 -6.9834207046385884e+07 -6.9710918689895719e+07 -6.9576424579879433e+07 -6.9428735879507139e+07 -6.9265611984624580e+07 -6.9084531200066820e+07 -6.8882428049418062e+07 -6.8656536006855711e+07 -6.8403248565400824e+07 -6.8118887496479556e+07 -6.7799494610824347e+07 -6.7440987732180312e+07 -6.7039272435018949e+07 -6.6590492242292255e+07 -6.6091956067496128e+07 -6.5539586368834995e+07 -6.4933301154717162e+07 -6.4274502995189264e+07 -6.3568359679187581e+07 -6.2823664890779793e+07 -6.2057157405248910e+07 -6.1294363979288891e+07 -6.0573051074841179e+07 -5.9948746974570252e+07 -5.9499969199252687e+07 -5.9339226713696286e+07 -5.9627972939747021e+07 -6.0603167220608898e+07 -6.2623780013154387e+07 -6.6258472881974764e+07 -7.2459736112587199e+07 1.0641790534271866e+07 +2.1427142380793621e-01 -6.0991824142743088e+06 -5.9987530783667220e+06 -5.8269349594903085e+06 -5.6051625796629703e+06 -5.3902334688885584e+06 -5.2668883725212514e+06 -5.2727447490330813e+06 -5.3447411978713516e+06 -5.4187551759158634e+06 -5.4820059867393766e+06 -5.5423190965371300e+06 -5.6008391005208688e+06 -5.6560694973318409e+06 -5.7075450281708157e+06 -5.7554857131798379e+06 -5.7996910450259224e+06 -5.8400550889078546e+06 -5.8769264652135577e+06 -5.9107748497928111e+06 -5.9420611211330285e+06 -5.9712163459370993e+06 -5.9984239492448503e+06 -6.0218617830833849e+06 -6.0377094511053441e+06 -6.0538601366712870e+06 -6.0781999962641057e+06 -6.1064867322072461e+06 -6.1362193416750757e+06 -6.1675023415999804e+06 -6.2009491045352332e+06 -6.2372845735426731e+06 -6.2773230992913069e+06 -6.3219834268871741e+06 -6.3723089348024298e+06 -6.4294914890902424e+06 -6.4948980368559435e+06 -6.5701022273610132e+06 -6.6569208261362584e+06 -6.7574571522517316e+06 -6.8741508424024582e+06 -7.0207945990694333e+06 -7.1935036561125359e+06 -7.3971629064999511e+06 -7.6375751197637310e+06 -7.9216678063258566e+06 -8.2577609114674861e+06 -8.6559177854281310e+06 -9.1284074310958125e+06 -9.6903261969027501e+06 -1.0360362203312274e+07 -1.1162038279489473e+07 -1.2124571994359197e+07 -1.3284344331417210e+07 -1.4687274989749825e+07 -1.6388413767411251e+07 -1.8451644083362699e+07 -2.0944305922870953e+07 -2.3926825269099742e+07 -2.7435376494133878e+07 -3.1460505279357944e+07 -3.5929916738319464e+07 -4.0703242603990681e+07 -4.5586712976016603e+07 -5.0363205853328750e+07 -5.4829834585085437e+07 -5.8828629263340302e+07 -6.2262568091875747e+07 -6.5098774785542034e+07 -6.7353026514475763e+07 -6.9078238044860616e+07 -7.0346997941033572e+07 -7.1234834365585834e+07 -7.1817086380315244e+07 -7.2163949356786564e+07 -7.2334526923465744e+07 -7.2383835799978420e+07 -7.2355408818411604e+07 -7.2282343824539170e+07 -7.2186450224239647e+07 -7.2110589370967552e+07 -7.2030859863550916e+07 -7.1948145505925044e+07 -7.1860968698639959e+07 -7.1770858702441692e+07 -7.1676060753610373e+07 -7.1576232631392926e+07 -7.1467678776131526e+07 -7.1351489033748090e+07 -7.1225522328947663e+07 -7.1088106398538515e+07 -7.0937209193482369e+07 -7.0770541427960306e+07 -7.0585528051326096e+07 -7.0379029853228226e+07 -7.0148230169756308e+07 -6.9889439861558869e+07 -6.9598900783426508e+07 -6.9272568746531993e+07 -6.8906272881633371e+07 -6.8495829804589123e+07 -6.8037300631956354e+07 -6.7527928948849797e+07 -6.6963558221679688e+07 -6.6344100558869407e+07 -6.5670989007194221e+07 -6.4949503634753108e+07 -6.4188629188548774e+07 -6.3405468125808746e+07 -6.2626103093668625e+07 -6.1889114800693877e+07 -6.1251246806229725e+07 -6.0792718780779868e+07 -6.0628485406100698e+07 -6.0923505553141490e+07 -6.1919887569869749e+07 -6.3984401763661064e+07 -6.7698067527494922e+07 -7.4034063616647378e+07 1.1124358619910873e+07 +2.1923974658219431e-01 -6.3858628548751976e+06 -6.2858575260540843e+06 -6.1147904045238411e+06 -5.8940064100179076e+06 -5.6800525895145657e+06 -5.5572928825779911e+06 -5.5631701520946426e+06 -5.6348948936014483e+06 -5.7086284976244820e+06 -5.7716489797713058e+06 -5.8317485132985283e+06 -5.8900682173979236e+06 -5.9451203117897101e+06 -5.9964438208631724e+06 -6.0442602417385690e+06 -6.0883728054981176e+06 -6.1286793654290512e+06 -6.1655308343460113e+06 -6.1993991900708070e+06 -6.2307483029415058e+06 -6.2600132974624829e+06 -6.2873836374207363e+06 -6.3110539174018977e+06 -6.3272353786829039e+06 -6.3438075561762815e+06 -6.3686343609463358e+06 -6.3975015194673855e+06 -6.4279354500460364e+06 -6.4600619324122733e+06 -6.4945174207148580e+06 -6.5320538106882768e+06 -6.5735170791924233e+06 -6.6198629986019395e+06 -6.6721782658377243e+06 -6.7317053800302632e+06 -6.7998704046207666e+06 -6.8783159618843375e+06 -6.9689392498730896e+06 -7.0739374031540789e+06 -7.1958594313812675e+06 -7.3491214727063412e+06 -7.5296674657667866e+06 -7.7426024569749236e+06 -7.9939903537204452e+06 -8.2910694391576862e+06 -8.6425309914221149e+06 -9.0588841329574976e+06 -9.5529355661082547e+06 -1.0140433409380049e+07 -1.0840855530030549e+07 -1.1678689817311948e+07 -1.2684297845689807e+07 -1.3895387563977487e+07 -1.5359388654568894e+07 -1.7132844671232227e+07 -1.9280842748826351e+07 -2.1871080313176271e+07 -2.4962798642130751e+07 -2.8588773442323752e+07 -3.2733700389310304e+07 -3.7317607157637343e+07 -4.2192064213902056e+07 -4.7156736170481302e+07 -5.1990870981887877e+07 -5.6491436309198610e+07 -6.0503289303209767e+07 -6.3934061175071195e+07 -6.6756199768559396e+07 -6.8990371866336495e+07 -7.0693511719229832e+07 -7.1941129850447834e+07 -7.2810490425959051e+07 -7.3377789870808497e+07 -7.3713322114868909e+07 -7.3875699758141562e+07 -7.3919261550571486e+07 -7.3886741623551264e+07 -7.3810556214059621e+07 -7.3712027754190147e+07 -7.3634401633365571e+07 -7.3552922955507934e+07 -7.3468438187083751e+07 -7.3379412494907096e+07 -7.3287396859759942e+07 -7.3190597198341817e+07 -7.3088655491813973e+07 -7.2977808199439317e+07 -7.2859163679557398e+07 -7.2730535604171351e+07 -7.2590216372442037e+07 -7.2436130996853560e+07 -7.2265941818183109e+07 -7.2077020845608458e+07 -7.1866155216802940e+07 -7.1630478984990269e+07 -7.1366220671199545e+07 -7.1069542719790682e+07 -7.0736315486633122e+07 -7.0362279971256688e+07 -6.9943164394185320e+07 -6.9474948061962739e+07 -6.8954809275143489e+07 -6.8378513525584623e+07 -6.7745966837466240e+07 -6.7058632541194558e+07 -6.6321902273171566e+07 -6.5544950633372620e+07 -6.4745241458417192e+07 -6.3949409834739223e+07 -6.3196845221806251e+07 -6.2545499235882111e+07 -6.2077282715089656e+07 -6.1909580639614098e+07 -6.2210835000341095e+07 -6.3228270583234005e+07 -6.5336408192410856e+07 -6.9128546949621618e+07 -7.5598422685718730e+07 1.1616284793885048e+07 +2.2420806935645241e-01 -6.6788897644444471e+06 -6.5792992072309852e+06 -6.4089672101271497e+06 -6.1891509661264522e+06 -5.9761521945038224e+06 -5.8539658800137015e+06 -5.8598642317862986e+06 -5.9313239241592018e+06 -6.0047842188326148e+06 -6.0675804981184117e+06 -6.1274725844746605e+06 -6.1855982277260730e+06 -6.2404781699277824e+06 -6.2916557027003225e+06 -6.3393539381448580e+06 -6.3833797850343902e+06 -6.4236349017835855e+06 -6.4604726550545394e+06 -6.4943673242215049e+06 -6.5257860164314639e+06 -6.5551679495585021e+06 -6.5827088390446939e+06 -6.6066199938441059e+06 -6.6231442161233444e+06 -6.6401484469573237e+06 -6.6654752628006153e+06 -6.6949382187441466e+06 -6.7260912391035920e+06 -6.7590817659976035e+06 -6.7945698448479520e+06 -6.8333349241162054e+06 -6.8762553030788871e+06 -6.9243245915440721e+06 -6.9786737433151398e+06 -7.0405969792043464e+06 -7.1115807452970305e+06 -7.1933381041719625e+06 -7.2878483845928730e+06 -7.3974045047030719e+06 -7.5246671235763216e+06 -7.6846890358364824e+06 -7.8732389887585938e+06 -8.0956466007438879e+06 -8.3582420593796717e+06 -8.6685803892266247e+06 -9.0357311014933623e+06 -9.4706570099056140e+06 -9.9867114853159655e+06 -1.0600304333397722e+07 -1.1331713570035979e+07 -1.2206402173298454e+07 -1.3255882624797879e+07 -1.4519189077558605e+07 -1.6045245767842999e+07 -1.7892046164274588e+07 -2.0125793807612814e+07 -2.2814398740885928e+07 -2.6015717004255075e+07 -2.9758900307084348e+07 -3.4022608027229138e+07 -3.8719120555612348e+07 -4.3692042487810388e+07 -4.8734723195483282e+07 -5.3623114662853546e+07 -5.8154364365846038e+07 -6.2176399387293339e+07 -6.5601633287895493e+07 -6.8407863800500378e+07 -7.0620600541023284e+07 -7.2300712956281394e+07 -7.3526540850427240e+07 -7.4377000299669772e+07 -7.4929078218093872e+07 -7.5253117295018777e+07 -7.5407204341104448e+07 -7.5444975346381888e+07 -7.5408347653338268e+07 -7.5329043223978236e+07 -7.5227889574503556e+07 -7.5148507557339579e+07 -7.5065290116904780e+07 -7.4979045967686728e+07 -7.4888183104676113e+07 -7.4794273966857016e+07 -7.4695485437550843e+07 -7.4591443394432515e+07 -7.4478317294205740e+07 -7.4357233653865039e+07 -7.4225961180764839e+07 -7.4082757161732733e+07 -7.3925503944152921e+07 -7.3751815803470254e+07 -7.3559012223953247e+07 -7.3343806773914829e+07 -7.3103285077578083e+07 -7.2833593609924540e+07 -7.2530815910137087e+07 -7.2190737423658505e+07 -7.1809011579838350e+07 -7.1381278767333671e+07 -7.0903437078706235e+07 -7.0372599573794201e+07 -6.9784454787046373e+07 -6.9138902473750994e+07 -6.8437436055309206e+07 -6.7685558025509343e+07 -6.6892631628013425e+07 -6.6076479776542664e+07 -6.5264286546706945e+07 -6.4496244654987119e+07 -6.3831506556506537e+07 -6.3353663278002724e+07 -6.3182514683758825e+07 -6.3489963561780967e+07 -6.4528318578046754e+07 -6.6679801694236472e+07 -7.0549913680578485e+07 -7.7152816081821024e+07 1.2117483950125508e+07 +2.2917639213071050e-01 -6.9782490318319770e+06 -6.8790642595909759e+06 -6.7094524946679883e+06 -6.4905843617179058e+06 -6.2785211885782117e+06 -6.1568969874486579e+06 -6.1628165215181774e+06 -6.2340175675538769e+06 -6.3072110944747552e+06 -6.3697891749946633e+06 -6.4294797329238644e+06 -6.4874172734824643e+06 -6.5421309519092795e+06 -6.5931684707011059e+06 -6.6407543355950154e+06 -6.6846992604915472e+06 -6.7249088459413769e+06 -6.7617388560428312e+06 -6.7956660553394267e+06 -6.8271608980138069e+06 -6.8566668261790201e+06 -6.8843859465258103e+06 -6.9085462862256793e+06 -6.9254221679664608e+06 -6.9428689297460113e+06 -6.9687087133073919e+06 -6.9987827142310338e+06 -7.0306724581866628e+06 -7.0645474515416939e+06 -7.1010918355568666e+06 -7.1411132086021751e+06 -7.1855228858475145e+06 -7.2353531193532636e+06 -7.2917800530611305e+06 -7.3561507127428055e+06 -7.4300131851420719e+06 -7.5151524319094438e+06 -7.6136316001153188e+06 -7.7278413464618251e+06 -7.8605562395968819e+06 -8.0274788754904056e+06 -8.2241989204981588e+06 -8.4562749412547797e+06 -8.7303084916330948e+06 -9.0541772300387137e+06 -9.4373356954589449e+06 -9.8912081632010136e+06 -1.0429703426995251e+07 -1.1069902581010379e+07 -1.1832893718951926e+07 -1.2745124220008170e+07 -1.3839263288338715e+07 -1.5155668900914449e+07 -1.6744742114962749e+07 -1.8665879497506808e+07 -2.0986310500858650e+07 -2.3774010835321352e+07 -2.7085251808802776e+07 -3.0945342153107483e+07 -3.5326730823577985e+07 -4.0133896476036787e+07 -4.5202586630540825e+07 -5.0320091936950259e+07 -5.5259399561056487e+07 -5.9818152085143551e+07 -6.3847576166448429e+07 -6.7264984974760830e+07 -7.0053543387331739e+07 -7.2243552664796174e+07 -7.3899732055696949e+07 -7.5103158936516255e+07 -7.5934319133846000e+07 -7.6470925304225087e+07 -7.6783321081879213e+07 -7.6929034436466217e+07 -7.6960975248547152e+07 -7.6920227162007153e+07 -7.6837806092717215e+07 -7.6734037301524267e+07 -7.6652908859110117e+07 -7.6567963102480099e+07 -7.6479970614901006e+07 -7.6387282297351733e+07 -7.6291491792131931e+07 -7.6190727237560451e+07 -7.6084598103238210e+07 -7.5969207821711585e+07 -7.5845700715036958e+07 -7.5711800814182132e+07 -7.5565730518419966e+07 -7.5405329783689678e+07 -7.5228165128107056e+07 -7.5031503926094428e+07 -7.4811986259348020e+07 -7.4566650176781937e+07 -7.4291560400382653e+07 -7.3982722070168227e+07 -7.3635836265134394e+07 -7.3246469406052560e+07 -7.2810174612488598e+07 -7.2322769359351784e+07 -7.1781301509765193e+07 -7.1181383657041520e+07 -7.0522909103620097e+07 -6.9807401168886513e+07 -6.9040472493423760e+07 -6.8231673755222663e+07 -6.7399184643724009e+07 -6.6570734773767523e+07 -6.5787314626486123e+07 -6.5109270278636225e+07 -6.4621861968760006e+07 -6.4447289033635981e+07 -6.4760892739787214e+07 -6.5820033081098437e+07 -6.8014583846585050e+07 -7.1962169387528956e+07 -7.8697245621190324e+07 1.2627871307913933e+07 +2.3414471490496860e-01 -7.2839260806182967e+06 -7.1851387490184978e+06 -7.0162327811726211e+06 -6.7982939103828026e+06 -6.5871479864709517e+06 -6.4660750627766261e+06 -6.4720160736074811e+06 -6.5429644250370553e+06 -6.6158976862976542e+06 -6.6782632008585604e+06 -6.7377578286626264e+06 -6.7955130659960676e+06 -6.8500662232679641e+06 -6.9009693000402860e+06 -6.9484484484873014e+06 -6.9923181289302474e+06 -7.0324878887366634e+06 -7.0693159607875487e+06 -7.1032817901097834e+06 -7.1348591971197315e+06 -7.1644960580960233e+06 -7.1924009687773632e+06 -7.2168186977063166e+06 -7.2340550668445788e+06 -7.2519547570776315e+06 -7.2783203540546373e+06 -7.3090205246594213e+06 -7.3416644945522584e+06 -7.3764442380561661e+06 -7.4140684927743217e+06 -7.4553736012265207e+06 -7.5013045847367449e+06 -7.5529331370835025e+06 -7.6114815205003768e+06 -7.6783506435983088e+06 -7.7551514833260477e+06 -7.8437423504232755e+06 -7.9462718872199208e+06 -8.0652304305486139e+06 -8.2035087022279697e+06 -8.3774721669696402e+06 -8.5825275273811948e+06 -8.8244666314448975e+06 -9.1101674281155951e+06 -9.4478360244566947e+06 -9.8473186746276263e+06 -1.0320508734379997e+07 -1.0881878956795162e+07 -1.1549191005681455e+07 -1.2344352503869830e+07 -1.3294803821779417e+07 -1.4434375612293102e+07 -1.5804745684276816e+07 -1.7457771913573541e+07 -1.9454204264892757e+07 -2.1862204608974580e+07 -2.4749665545921747e+07 -2.8171075555206258e+07 -3.2147688021805339e+07 -3.6645579449037425e+07 -4.1561387154547907e+07 -4.6723122864738524e+07 -5.1912280360980809e+07 -5.6899209632234357e+07 -6.1482353393611312e+07 -6.5516454690248080e+07 -6.8923832100570604e+07 -7.1693027004208952e+07 -7.3859077161272913e+07 -7.5490465380715102e+07 -7.6670915972146869e+07 -7.7482404281138554e+07 -7.8003306026916295e+07 -7.8303919875171930e+07 -7.8441183523238003e+07 -7.8467258747543886e+07 -7.8422379687465921e+07 -7.8336845277255431e+07 -7.8230471745833322e+07 -7.8147606443130627e+07 -7.8060942853523642e+07 -7.7971213082165480e+07 -7.7876711029394597e+07 -7.7779051292012975e+07 -7.7676323553758591e+07 -7.7568120572683036e+07 -7.7450480734896809e+07 -7.7324565814493716e+07 -7.7188055454010040e+07 -7.7039137390317395e+07 -7.6875609461224109e+07 -7.6694990735731959e+07 -7.6494496893166602e+07 -7.6270694611605719e+07 -7.6020575218121201e+07 -7.5740121974642292e+07 -7.5425262128050953e+07 -7.5071612935027912e+07 -7.4674654369024009e+07 -7.4229852843413621e+07 -7.3732945811464503e+07 -7.3180915983992070e+07 -7.2569301029165164e+07 -7.1897987612326026e+07 -7.1168528758226842e+07 -7.0386646543574765e+07 -6.9562077871657327e+07 -6.8713356906136125e+07 -6.7868755351776913e+07 -6.7070055962446168e+07 -6.6378791219940379e+07 -6.5881879598717995e+07 -6.5703904498309501e+07 -6.6023623347365744e+07 -6.7103414918221757e+07 -6.9340755502909169e+07 -7.3365314971606195e+07 -8.0231712282033488e+07 1.3147362411703125e+07 +2.3911303767922670e-01 -7.5959061546320394e+06 -7.4975081648799926e+06 -7.3292943549233917e+06 -7.1122669580315314e+06 -6.9020205034666350e+06 -6.7814884531224482e+06 -6.7874512218279755e+06 -6.8581526965095112e+06 -6.9308318037132258e+06 -6.9929902449604636e+06 -7.0522944120561564e+06 -7.1098727478710627e+06 -7.1642708373183403e+06 -7.2150449767647479e+06 -7.2624228855431452e+06 -7.3062228249821942e+06 -7.3463583075382877e+06 -7.3831901282409029e+06 -7.4172005200764341e+06 -7.4488667830218831e+06 -7.4786413873461969e+06 -7.5067395379451802e+06 -7.5314227681357265e+06 -7.5490283770135203e+06 -7.5673913188759731e+06 -7.5942954636157760e+06 -7.6256368080774229e+06 -7.6590523782057315e+06 -7.6947570186245637e+06 -7.7334845615391964e+06 -7.7761006850592196e+06 -7.8235848027021065e+06 -7.8770488444083165e+06 -7.9377621136610284e+06 -8.0071804743445423e+06 -8.0869790345843416e+06 -8.1790908953163484e+06 -8.2857518601770150e+06 -8.4095538741118573e+06 -8.5535060388070028e+06 -8.7346496762339175e+06 -8.9482046491792202e+06 -9.2002003761930522e+06 -9.4977961718226708e+06 -9.8495323275116645e+06 -1.0265653390841145e+07 -1.0758529263110001e+07 -1.1343204971937358e+07 -1.2038131707621841e+07 -1.2866045590357894e+07 -1.3855387844656248e+07 -1.5041154207053335e+07 -1.6466336722962817e+07 -1.8184227851587750e+07 -2.0256878462961990e+07 -2.2753286538494870e+07 -2.5741111252967067e+07 -2.9272861898281086e+07 -3.3365530981349424e+07 -3.7978672518999137e+07 -4.3001057187786385e+07 -4.8253093811641939e+07 -5.3510745616798244e+07 -5.8542049026433326e+07 -6.3146541636066020e+07 -6.7182687267558739e+07 -7.0577904842937559e+07 -7.3326114272655874e+07 -7.5467031127824858e+07 -7.7072814922972798e+07 -7.8229747413898647e+07 -7.9021215151475802e+07 -7.9526196245407671e+07 -7.9814900299967885e+07 -7.9943644845982522e+07 -7.9963822836981386e+07 -7.9914804136809558e+07 -7.9826160544087514e+07 -7.9717193005270317e+07 -7.9632600495533273e+07 -7.9544229591177136e+07 -7.9452773602954149e+07 -7.9356469538066283e+07 -7.9256952704498872e+07 -7.9152274623775080e+07 -7.9042011040257379e+07 -7.8922136271038771e+07 -7.8793829189060837e+07 -7.8654725336748734e+07 -7.8502978013437122e+07 -7.8336343212339744e+07 -7.8152292861264631e+07 -7.7947991359418839e+07 -7.7719932064619005e+07 -7.7465060434656546e+07 -7.7179278565154552e+07 -7.6858436315201610e+07 -7.6498067663766518e+07 -7.6093566697876707e+07 -7.5640313687896192e+07 -7.5133966661400989e+07 -7.4571443221497104e+07 -7.3948207126376018e+07 -7.3264138220885605e+07 -7.2520819042052284e+07 -7.1724080392409950e+07 -7.0883844191222921e+07 -7.0018996775081173e+07 -6.9158348489311576e+07 -6.8344468869216889e+07 -6.7640069584528565e+07 -6.7133716370656535e+07 -6.6952361279861644e+07 -6.7278155587437421e+07 -6.8378464295499206e+07 -7.0658316875964269e+07 -7.4759350655787379e+07 -8.1756216301314682e+07 1.3675873130933737e+07 +2.4408136045348480e-01 -7.9141741873747762e+06 -7.8161577603530381e+06 -7.6486227776851188e+06 -7.4324898149411911e+06 -7.2231261143507240e+06 -7.1031251103463909e+06 -7.1091097501037829e+06 -7.1795698861755077e+06 -7.2520007673024237e+06 -7.3139573485981617e+06 -7.3730763419310162e+06 -7.4304831157692783e+06 -7.4847314717782410e+06 -7.5353818928775685e+06 -7.5826638184878370e+06 -7.6263993916789014e+06 -7.6665059518093253e+06 -7.7033470827657981e+06 -7.7374078381191660e+06 -7.7691691486935206e+06 -7.7990881889453800e+06 -7.8273869243202182e+06 -7.8523436727402257e+06 -7.8703271957441811e+06 -7.8891636445302730e+06 -7.9166189631460318e+06 -7.9486163662964078e+06 -7.9828207860666299e+06 -8.0194703342595659e+06 -8.0593244356848896e+06 -8.1032786926403064e+06 -8.1523475915504843e+06 -8.2076840885463804e+06 -8.2706054460615674e+06 -8.3426235498801516e+06 -8.4254788717993256e+06 -8.5211807348940019e+06 -8.6320537591180168e+06 -8.7607934116307143e+06 -8.9105293835138977e+06 -9.0989917622107081e+06 -9.3212097014060300e+06 -9.5834544347628094e+06 -9.8931715535964705e+06 -1.0259241189124739e+07 -1.0692312649542287e+07 -1.1205239690661984e+07 -1.1813647705441251e+07 -1.2536686039095867e+07 -1.3397927789532147e+07 -1.4426822166480012e+07 -1.5659532532454642e+07 -1.7140357981097605e+07 -1.8924001124799248e+07 -2.1073758549270425e+07 -2.3659365406771034e+07 -2.6748095873826250e+07 -3.0390285750415135e+07 -3.4598468168975003e+07 -3.9325536494645663e+07 -4.4452383211578138e+07 -4.9791957899231859e+07 -5.5114963190740973e+07 -6.0187441063091040e+07 -6.4810308482534461e+07 -6.8845942415670842e+07 -7.2226946766874745e+07 -7.4952615207715586e+07 -7.7067279267651841e+07 -7.8646687906049713e+07 -7.9779592061570749e+07 -8.0550713077226460e+07 -8.1039572729694471e+07 -8.1316249214128450e+07 -8.1436411459043607e+07 -8.1450664079346195e+07 -8.1397498862516835e+07 -8.1305751050294995e+07 -8.1194200547504291e+07 -8.1107890567469344e+07 -8.1017822900013253e+07 -8.0924651774090722e+07 -8.0826557424079135e+07 -8.0725195631725460e+07 -8.0618580050712198e+07 -8.0506269109954059e+07 -8.0384174034531847e+07 -8.0253490443917438e+07 -8.0111810068234608e+07 -7.9957251994409204e+07 -7.9787530644413769e+07 -7.9600071113054067e+07 -7.9391986934238389e+07 -7.9159698229082629e+07 -7.8900105438484177e+07 -7.8609029785264462e+07 -7.8282244246748582e+07 -7.7915200068085492e+07 -7.7503206011597216e+07 -7.7041556767245919e+07 -7.6525831532806903e+07 -7.5952882848885536e+07 -7.5318101578657851e+07 -7.4621360562682092e+07 -7.3864271657715425e+07 -7.3052773681178838e+07 -7.2196972359358937e+07 -7.1316103900423720e+07 -7.0439513840459138e+07 -6.9610553005097747e+07 -6.8893105034236103e+07 -6.8377371948877200e+07 -6.8192659043447465e+07 -6.8524489123439640e+07 -6.9645180870562837e+07 -7.1967267611768007e+07 -7.6144276063322246e+07 -8.3270757260171533e+07 1.4213319659846956e+07 +2.4904968322774290e-01 -8.2387146336763827e+06 -8.1410723912236784e+06 -7.9742039007907258e+06 -7.7589488388780449e+06 -7.5504518082290972e+06 -7.4309722629589913e+06 -7.4369790453546066e+06 -7.5072032367637083e+06 -7.5793915576360906e+06 -7.6411512795267804e+06 -7.7000900563596981e+06 -7.7573303854166428e+06 -7.8114341400792049e+06 -7.8619659727131724e+06 -7.9091570653934730e+06 -7.9528333883683374e+06 -7.9929163136714157e+06 -8.0297721766247433e+06 -8.0638889839824494e+06 -8.0957514124203026e+06 -8.1258214758748300e+06 -8.1543280358905289e+06 -8.1795662240274874e+06 -8.1979362599473968e+06 -8.2172564044982428e+06 -8.2452754203839488e+06 -8.2779436493280400e+06 -8.3129540456133438e+06 -8.3505683774625156e+06 -8.3915721613174789e+06 -8.4368915089549776e+06 -8.4875766547941212e+06 -8.5448223669917528e+06 -8.6099947793288659e+06 -8.6846628598784432e+06 -8.7706336683710422e+06 -8.8699941724861804e+06 -8.9851594523026329e+06 -9.1189303971676398e+06 -9.2745594795872457e+06 -9.4704783789982814e+06 -9.7015216775356438e+06 -9.9742066231579222e+06 -1.0296269934673354e+07 -1.0676937156807672e+07 -1.1127268712807469e+07 -1.1660609363398379e+07 -1.2293172730279859e+07 -1.3044814609630043e+07 -1.3939953065128688e+07 -1.5009051686883252e+07 -1.6289442912860554e+07 -1.7826724115207512e+07 -1.9676981474332184e+07 -2.1904699500066921e+07 -2.4580249123974022e+07 -2.7770366964453414e+07 -3.1523023376903597e+07 -3.5846100826386504e+07 -4.0685705581614390e+07 -4.5914853587798677e+07 -5.1339188798122145e+07 -5.6724426108194165e+07 -6.1834927273191296e+07 -6.6473262913255341e+07 -7.0505903889953852e+07 -7.3870713975089133e+07 -7.6572349528823674e+07 -7.8659693370864794e+07 -8.0211996424599513e+07 -8.1320391830236182e+07 -8.2070861190335155e+07 -8.2543413114811987e+07 -8.2807953714747161e+07 -8.2919476265991360e+07 -8.2927778663798675e+07 -8.2870461730777770e+07 -8.2775615416034952e+07 -8.2661493284313142e+07 -8.2573475649449810e+07 -8.2481721802516475e+07 -8.2386846630083755e+07 -8.2286973726612791e+07 -8.2183779115087345e+07 -8.2075238877196133e+07 -8.1960893825788856e+07 -8.1836593071103826e+07 -8.1703548626262188e+07 -8.1559308697372273e+07 -8.1401958383976638e+07 -8.1229170810289457e+07 -8.1038324546253517e+07 -8.0826482675041243e+07 -8.0589992165388942e+07 -8.0325709292920917e+07 -8.0029374701904923e+07 -7.9696684993520156e+07 -7.9323009223431915e+07 -7.8903571390389755e+07 -7.8433581167126253e+07 -7.7908539517568052e+07 -7.7325233965119600e+07 -7.6678983492379248e+07 -7.5969653752505094e+07 -7.5198885728780255e+07 -7.4372725543166488e+07 -7.3501461519587710e+07 -7.2604677436117500e+07 -7.1712250569560140e+07 -7.0868307544450358e+07 -7.0137896752032325e+07 -6.9612845522395983e+07 -6.9424796980075881e+07 -6.9762623142467797e+07 -7.0903563816839024e+07 -7.3267606856086433e+07 -7.7520090288162723e+07 -8.4775334160665751e+07 1.4759618517293354e+07 +2.5401800600200097e-01 -8.5695116691138688e+06 -8.4722366398350932e+06 -8.3060225067610685e+06 -8.0916297142435983e+06 -7.8839838040136145e+06 -7.7650167610991346e+06 -7.7710458958810205e+06 -7.8410392419107081e+06 -7.9129904354226412e+06 -7.9745582808957435e+06 -8.0333216352141034e+06 -8.0904004765607491e+06 -8.1443645471203942e+06 -8.1947827710988242e+06 -8.2418879811589075e+06 -8.2855100900882650e+06 -8.3255744860823778e+06 -8.3624503892318476e+06 -8.3966288091582712e+06 -8.4285983221527785e+06 -8.4588258931924030e+06 -8.4875474177731629e+06 -8.5130748776992243e+06 -8.5318399550147802e+06 -8.5516539141488783e+06 -8.5802490534762964e+06 -8.6136027599075660e+06 -8.6494361381023992e+06 -8.6880349956436511e+06 -8.7302114401975386e+06 -8.7769226743973363e+06 -8.8292553503946494e+06 -8.8884468301589973e+06 -8.9559130256795343e+06 -9.0332810411874875e+06 -9.1224257404704187e+06 -9.2255131486677080e+06 -9.3450504382846095e+06 -9.4839458064675033e+06 -9.6455766814641878e+06 -9.8490890780137815e+06 -1.0089119151226226e+07 -1.0372434316346090e+07 -1.0707067209094727e+07 -1.1102594278294459e+07 -1.1570493302284282e+07 -1.2124607036267582e+07 -1.2781744963549502e+07 -1.3562477291390402e+07 -1.4492074540614095e+07 -1.5602020337404255e+07 -1.6930816552324049e+07 -1.8525348497740652e+07 -2.0443057223617423e+07 -2.2749554866788853e+07 -2.5515744472995672e+07 -2.8807671816656884e+07 -3.2670752484999541e+07 -3.7108034328273527e+07 -4.2058721626456529e+07 -4.7387968100152202e+07 -5.2894274881993428e+07 -5.8338644180212945e+07 -6.3484066501672931e+07 -6.8135030275089219e+07 -7.2162269786674112e+07 -7.5508974325213566e+07 -7.8185146027825728e+07 -8.0244151839841783e+07 -8.1768657114663988e+07 -8.2852091542928457e+07 -8.3581624309436888e+07 -8.4037695858053669e+07 -8.4290001142927527e+07 -8.4392832054835543e+07 -8.4395162458835348e+07 -8.4333690182031572e+07 -8.4235751789202824e+07 -8.4119069637842163e+07 -8.4029354237652034e+07 -8.3935924825712681e+07 -8.3839356709811002e+07 -8.3737716989554256e+07 -8.3632701701113775e+07 -8.3522249651801765e+07 -8.3405883738798603e+07 -8.3279391933753788e+07 -8.3144002291493878e+07 -8.2997219782056376e+07 -8.2837095742818192e+07 -8.2661262273739025e+07 -8.2467051727936789e+07 -8.2251477152665183e+07 -8.2010812448835582e+07 -8.1741870578156516e+07 -8.1440311900453016e+07 -8.1101757146677181e+07 -8.0721493727466613e+07 -8.0294661439413548e+07 -7.9816385501137957e+07 -7.9282089238522694e+07 -7.8688495203508615e+07 -7.8030851512501672e+07 -7.7309016447679549e+07 -7.6524659926342875e+07 -7.5683934664131269e+07 -7.4797310373096272e+07 -7.3884716099094018e+07 -7.2976557409358963e+07 -7.2117731235170454e+07 -7.1374443498561576e+07 -7.0840135861093998e+07 -7.0648773862946197e+07 -7.0992556411597937e+07 -7.2153611881004378e+07 -7.4559333313642010e+07 -7.8886791957250983e+07 -8.6269945494884849e+07 1.5314686546537843e+07 +2.5898632877625904e-01 -8.9065493270020150e+06 -8.8096345039137863e+06 -8.6440633260644078e+06 -8.4305176938151717e+06 -8.2237081539362241e+06 -8.1052448924859473e+06 -8.1112966359058702e+06 -8.1810641365740094e+06 -8.2527834072151817e+06 -8.3141639483748479e+06 -8.3727566672126865e+06 -8.4296787726854440e+06 -8.4835079534580689e+06 -8.5338173212568909e+06 -8.5808415161346905e+06 -8.6244143171766829e+06 -8.6644651806013770e+06 -8.7013662899466716e+06 -8.7356117900831606e+06 -8.7676942583263721e+06 -8.7980857235306464e+06 -8.8270292611553762e+06 -8.8528537386476491e+06 -8.8720223206748608e+06 -8.8923401394450366e+06 -8.9215237349198610e+06 -8.9555774575354680e+06 -8.9922507017509975e+06 -9.0318536943378020e+06 -9.0752256327579729e+06 -9.1233553874322809e+06 -9.1773666933615245e+06 -9.2385402838142365e+06 -9.3083427502734270e+06 -9.3884603800328318e+06 -9.4808370492776446e+06 -9.5877192433644272e+06 -9.7117078480433952e+06 -9.8558202390354909e+06 -1.0023560956804397e+07 -1.0234803010088131e+07 -1.0483980278466878e+07 -1.0778114450575598e+07 -1.1125538806046614e+07 -1.1536186104179056e+07 -1.2021957602131337e+07 -1.2597200876109721e+07 -1.3279328670622369e+07 -1.4089633224395469e+07 -1.5054244506316550e+07 -1.6205671091648815e+07 -1.7583583549859241e+07 -1.9236143240722246e+07 -2.1222115315232567e+07 -2.3608176831735119e+07 -2.6465657187002905e+07 -2.9859757551150117e+07 -3.3833152307024591e+07 -3.8383878205578111e+07 -4.3444134011590533e+07 -4.8871237658370309e+07 -5.4456718712831892e+07 -5.9957143291238710e+07 -6.5134434067077130e+07 -6.9795251402682513e+07 -7.3814751712139532e+07 -7.7141506708229408e+07 -7.9790841988135070e+07 -8.1820539254761130e+07 -8.3316590852679074e+07 -8.4374638740222469e+07 -8.5082968837754264e+07 -8.5522400199195832e+07 -8.5762379087746948e+07 -8.5856471528623074e+07 -8.5852811058935225e+07 -8.5787181286331311e+07 -8.5686157903829724e+07 -8.5566927599882245e+07 -8.5475524394413888e+07 -8.5380430060846016e+07 -8.5282180116465211e+07 -8.5178785321363941e+07 -8.5071961501452476e+07 -8.4959610488916963e+07 -8.4841236966124237e+07 -8.4712568742675141e+07 -8.4574849562726095e+07 -8.4425541448860899e+07 -8.4262662201113433e+07 -8.4083803168856859e+07 -8.3886250796517327e+07 -8.3666968510325417e+07 -8.3422157228293374e+07 -8.3148587448973402e+07 -8.2841839542629540e+07 -8.2497458875653222e+07 -8.2110651758352026e+07 -8.1676474346405059e+07 -8.1189967967866585e+07 -8.0646478906194642e+07 -8.0042664788313776e+07 -7.9373703877989322e+07 -7.8639446903682575e+07 -7.7841592523600936e+07 -7.6986399336198047e+07 -7.6084517231949925e+07 -7.5156218222146511e+07 -7.4232432712921083e+07 -7.3358822449872389e+07 -7.2602743663371623e+07 -7.2059241366630346e+07 -7.1864588097733811e+07 -7.2214287328773350e+07 -7.3395323434560463e+07 -7.5842445301302046e+07 -8.0244379287463650e+07 -8.7754589306036502e+07 1.5878440915060669e+07 +2.6395465155051712e-01 -9.2498109466355536e+06 -9.1532500132511351e+06 -8.9883106369073540e+06 -8.7755977326189876e+06 -8.5696103496115282e+06 -8.4516425313034058e+06 -8.4577171000123899e+06 -8.5272634757902548e+06 -8.5987559803989753e+06 -8.6599537534734029e+06 -8.7183802674912233e+06 -8.7751503196171224e+06 -8.8288492660584059e+06 -8.8790543869963940e+06 -8.9260022614013255e+06 -8.9695305246540476e+06 -9.0095727453859597e+06 -9.0465041114774700e+06 -9.0808220593686793e+06 -9.1130232517199703e+06 -9.1435849000506178e+06 -9.1727574094937276e+06 -9.1988865669640098e+06 -9.2184670541768279e+06 -9.2392987028297000e+06 -9.2690829952907152e+06 -9.3038511617186219e+06 -9.3413810348701570e+06 -9.3820076403933354e+06 -9.4265977609332018e+06 -9.4761725071447175e+06 -9.5318933581585847e+06 -9.5950851914168503e+06 -9.6672661734189205e+06 -9.7501828142078146e+06 -9.8458492030183244e+06 -9.9565936779267173e+06 -1.0085112446885718e+07 -1.0234533920165079e+07 -1.0408491888516812e+07 -1.0627598927474126e+07 -1.0886082799668802e+07 -1.1191223525548439e+07 -1.1551659692336218e+07 -1.1977685690522961e+07 -1.2481632261998402e+07 -1.3078358465234503e+07 -1.3785887469354957e+07 -1.4626240821949460e+07 -1.5626414426555073e+07 -1.6819945975471243e+07 -1.8247672914492305e+07 -1.9959019219139915e+07 -2.2014041347302221e+07 -2.4480416262626950e+07 -2.7429792024747584e+07 -3.0926371206613909e+07 -3.5009903677656300e+07 -3.9673246162428409e+07 -4.4841499548975602e+07 -5.0364184011087254e+07 -5.6026036548355013e+07 -6.1579464725553140e+07 -6.6785620972309627e+07 -7.1453581799592361e+07 -7.5463074012274981e+07 -7.8768100383021519e+07 -8.1389282651050329e+07 -8.3388745975018501e+07 -8.4855722479336515e+07 -8.5887983507276401e+07 -8.6574862668168336e+07 -8.6997506124548420e+07 -8.7225075389200404e+07 -8.7310387333446920e+07 -8.7300719826054826e+07 -8.7230931791520625e+07 -8.7126831132106885e+07 -8.7005064785548985e+07 -8.6911983801228181e+07 -8.6815235217880860e+07 -8.6715314571561351e+07 -8.6610176449146777e+07 -8.6501556246753618e+07 -8.6387319122002751e+07 -8.6266951244953245e+07 -8.6136121238358751e+07 -8.5996088184239134e+07 -8.5844271445934981e+07 -8.5678655511248589e+07 -8.5496791252827093e+07 -8.5295919514591604e+07 -8.5072954516446829e+07 -8.4824024278840661e+07 -8.4545857687937230e+07 -8.4233955419067621e+07 -8.3883787980419666e+07 -8.3490481126180261e+07 -8.3049007933289066e+07 -8.2554326402099684e+07 -8.2001706369859859e+07 -8.1387740585142612e+07 -8.0707538472364187e+07 -7.9960943023580819e+07 -7.9149681444947079e+07 -7.8280117506653324e+07 -7.7363080067552835e+07 -7.6419181801377311e+07 -7.5479874501016155e+07 -7.4591579232793927e+07 -7.3822795310623124e+07 -7.3270160117618561e+07 -7.3072237768319234e+07 -7.3427813968366399e+07 -7.4628696520148113e+07 -7.7116940796149731e+07 -8.1592850135916486e+07 -8.9229263244399950e+07 1.6450799114354506e+07 +2.6892297432477519e-01 -9.5992799881481789e+06 -9.5030666954911333e+06 -9.3387484912960716e+06 -9.1268544108313359e+06 -8.9216753999545686e+06 -8.8041950910466835e+06 -8.8102927479646262e+06 -8.8796225281831138e+06 -8.9508931306070965e+06 -9.0119125437629484e+06 -9.0701772629831675e+06 -9.1267997085455693e+06 -9.1803728934016079e+06 -9.2304783123146240e+06 -9.2773544212691206e+06 -9.3208427859298941e+06 -9.3608811550733577e+06 -9.3978477397009451e+06 -9.4322433972653579e+06 -9.4645689820025172e+06 -9.4953070144444685e+06 -9.5247153605409302e+06 -9.5511567824415807e+06 -9.5711575128217079e+06 -9.5925128884255812e+06 -9.6229100263980832e+06 -9.6584069546679948e+06 -9.6968100989790671e+06 -9.7384796647384670e+06 -9.7843105106840506e+06 -9.8353565557248127e+06 -9.8928176810785122e+06 -9.9580636763562616e+06 -1.0032665172649212e+07 -1.0118429935128869e+07 -1.0217443458981665e+07 -1.0332117317059791e+07 -1.0465244636495713e+07 -1.0620066702794598e+07 -1.0800348676715732e+07 -1.1027455185922092e+07 -1.1295404041749479e+07 -1.1611737606613828e+07 -1.1985404374654470e+07 -1.2427065601411913e+07 -1.2949487399906158e+07 -1.3568046804756641e+07 -1.4301384334259482e+07 -1.5172257775912534e+07 -1.6208534946895428e+07 -1.7444786077166878e+07 -1.8923012580658942e+07 -2.0693886094513744e+07 -2.2818719609662402e+07 -2.5366122766364738e+07 -2.8407952843847796e+07 -3.2007259824875381e+07 -3.6200689106083550e+07 -4.0975756089043796e+07 -4.6250382372717991e+07 -5.1866339466577798e+07 -5.7601757871320434e+07 -6.3205164530173197e+07 -6.8437233164506257e+07 -7.3109690873962089e+07 -7.7106973058037728e+07 -8.0388554360734150e+07 -8.2980320723624244e+07 -8.4948667772433951e+07 -8.6385980546381935e+07 -8.7392078314137012e+07 -8.8057275096791819e+07 -8.8462994332942739e+07 -8.8678078140221670e+07 -8.8754572083137855e+07 -8.8738883927624777e+07 -8.8664938168436095e+07 -8.8557768532042027e+07 -8.8433478481729433e+07 -8.8338729808083490e+07 -8.8240337673420623e+07 -8.8138757463263690e+07 -8.8031887766822532e+07 -8.7921483335015953e+07 -8.7805372952913254e+07 -8.7683023980540246e+07 -8.7550046830043569e+07 -8.7407715569475070e+07 -8.7253407191211119e+07 -8.7085073096439272e+07 -8.6900223954294309e+07 -8.6696055316712022e+07 -8.6469432612121865e+07 -8.6216411049496397e+07 -8.5933678752364740e+07 -8.5616656996511519e+07 -8.5260741938036650e+07 -8.4860979320170894e+07 -8.4412259702422231e+07 -8.3909458321087793e+07 -8.3347769163396329e+07 -8.2723720146605521e+07 -8.2032352868733838e+07 -8.1273502402938545e+07 -8.0448924310323089e+07 -7.9565086821478680e+07 -7.8632996553519234e+07 -7.7673604538871840e+07 -7.6718880503864497e+07 -7.5815999341092736e+07 -7.5034596220729947e+07 -7.4472889911054358e+07 -7.4271720677381054e+07 -7.4633134122419611e+07 -7.5853728893200144e+07 -7.8382817478669181e+07 -8.2932202045922816e+07 -9.0693964616771370e+07 1.7031678959717732e+07 +2.7389129709903326e-01 -9.9549394148572050e+06 -9.8590675961857699e+06 -9.6953603507366348e+06 -9.4842717473562006e+06 -9.2798880473665576e+06 -9.1628875001235399e+06 -9.1690084592372309e+06 -9.2381261324923169e+06 -9.3091795120422747e+06 -9.3700247653769590e+06 -9.4281319521515500e+06 -9.4846111603433974e+06 -9.5380629417679384e+06 -9.5880730235050526e+06 -9.6348818362735156e+06 -9.6783348514747228e+06 -9.7183740158353485e+06 -9.7553806796226818e+06 -9.7898592225105148e+06 -9.8223147732461859e+06 -9.8532353163701277e+06 -9.8828862726355996e+06 -9.9096474677383136e+06 -9.9300767164550964e+06 -9.9519656458053440e+06 -9.9829876838401351e+06 -1.0019227583839741e+07 -1.0058520521835752e+07 -1.0101252264988642e+07 -1.0148346234322581e+07 -1.0200889720796995e+07 -1.0260121662499785e+07 -1.0327457524082879e+07 -1.0404521284779936e+07 -1.0493182989820126e+07 -1.0595600725479294e+07 -1.0714270670765387e+07 -1.0852084456798403e+07 -1.1012398069529736e+07 -1.1199110140678708e+07 -1.1434349746522548e+07 -1.1711920920176366e+07 -1.2039632326921145e+07 -1.2426746901935505e+07 -1.2884297911565516e+07 -1.3425492605223218e+07 -1.4066232318063626e+07 -1.4825781600668579e+07 -1.5727641062100887e+07 -1.6800555901352692e+07 -1.8080131557848722e+07 -1.9609529423442066e+07 -2.1440652338183139e+07 -2.3636033119655475e+07 -2.6265144741692785e+07 -2.9399942671821974e+07 -3.3102170532472949e+07 -3.7405192843043566e+07 -4.2291030069080964e+07 -4.7670353831778258e+07 -5.3377246622095905e+07 -5.9183424939561836e+07 -6.4833812911207825e+07 -7.0088890838482499e+07 -7.4763261225262135e+07 -7.8746196580702603e+07 -8.2002676835034296e+07 -8.4563815924970746e+07 -8.6500205494769931e+07 -8.7907297084746495e+07 -8.8886877869924664e+07 -8.9530176744061887e+07 -8.9918846204785675e+07 -9.0121375688541949e+07 -9.0189018381358743e+07 -9.0167298370295882e+07 -9.0089196649676323e+07 -8.9978966889564365e+07 -8.9852165690290362e+07 -8.9755759476462692e+07 -8.9655734514905885e+07 -8.9552505890374854e+07 -8.9443916379286408e+07 -8.9331739875309214e+07 -8.9213769094334796e+07 -8.9089452290119708e+07 -8.8954342639385000e+07 -8.8809728844802663e+07 -8.8652945816153184e+07 -8.8481912093362555e+07 -8.8294098416121989e+07 -8.8086655352641106e+07 -8.7856399954550862e+07 -8.7599314705872312e+07 -8.7312047817084476e+07 -8.6989941460290208e+07 -8.6628317945774734e+07 -8.6222143550556153e+07 -8.5766226878671899e+07 -8.5255360966450214e+07 -8.4684664546768710e+07 -8.4050600753347471e+07 -8.3348144370550960e+07 -8.2577122370178208e+07 -8.1739318475298122e+07 -8.0841304665478557e+07 -7.9894264105226442e+07 -7.8919483881479010e+07 -7.7949448199616596e+07 -7.7032080282767788e+07 -7.6238143927417234e+07 -7.5667428299151257e+07 -7.5463034383549422e+07 -7.5830245337563440e+07 -7.7070418060262561e+07 -7.9640072771829784e+07 -8.4262432288461849e+07 -9.2148690432591826e+07 1.7620998590043731e+07 +2.7885961987329133e-01 -1.0316771713885473e+07 -1.0221235789406359e+07 -1.0058129496383794e+07 -9.8478335483123492e+06 -9.6442324584731683e+06 -9.5277042599378955e+06 -9.5338487685486749e+06 -9.6027586031011231e+06 -9.6735993737191167e+06 -9.7342745948825739e+06 -9.7922282888622414e+06 -9.8485684898002166e+06 -9.9019030717103090e+06 -9.9518220946856905e+06 -9.9985679754178338e+06 -1.0041990073095836e+07 -1.0082034572779279e+07 -1.0119086102727365e+07 -1.0153652602834731e+07 -1.0186243605810126e+07 -1.0217352709230527e+07 -1.0247252971811587e+07 -1.0274341371119346e+07 -1.0295207350112392e+07 -1.0317639592102632e+07 -1.0349298489720328e+07 -1.0386295464723444e+07 -1.0426494600132011e+07 -1.0470307607869213e+07 -1.0518686952879058e+07 -1.0572753857714467e+07 -1.0633786969029304e+07 -1.0703248184151446e+07 -1.0782815707833569e+07 -1.0874422882877264e+07 -1.0980301563716544e+07 -1.1103033896189187e+07 -1.1245611587775258e+07 -1.1411507134394128e+07 -1.1604754720663376e+07 -1.1848260177786123e+07 -1.2135609940963024e+07 -1.2474882889572766e+07 -1.2875660867681058e+07 -1.3349354208871562e+07 -1.3909616941537954e+07 -1.4572880854284640e+07 -1.5359040969054986e+07 -1.6292346945692794e+07 -1.7402426319747347e+07 -1.8725921661738284e+07 -2.0307149273926321e+07 -2.2199225254702378e+07 -2.4465863657546688e+07 -2.7177329431049146e+07 -3.0405563775070831e+07 -3.4210850618473709e+07 -3.8623100943209022e+07 -4.3618694383835465e+07 -4.9100992381553844e+07 -5.4896458100776225e+07 -6.0770592354380488e+07 -6.6464993661756158e+07 -7.1740227782649547e+07 -7.6413987976464495e+07 -8.0380503053660214e+07 -8.3610284654503360e+07 -8.6139634567237645e+07 -8.8043264755012572e+07 -8.9419607390315041e+07 -9.0372338988720790e+07 -9.0993539481208056e+07 -9.1365043773029521e+07 -9.1554956637294233e+07 -9.1613718841505319e+07 -9.1585958030813068e+07 -9.1503703267194584e+07 -9.1390422757346392e+07 -9.1261123167772308e+07 -9.1163069619783461e+07 -9.1061422580208778e+07 -9.0956556701996863e+07 -9.0846259141629621e+07 -9.0732322727504805e+07 -9.0612504410435244e+07 -9.0486233042509198e+07 -9.0349005539737940e+07 -9.0202124888528585e+07 -9.0042884204818264e+07 -8.9869169392257318e+07 -8.9678411534998938e+07 -8.9467716526285037e+07 -8.9233853455579892e+07 -8.8972732169117570e+07 -8.8680961813550010e+07 -8.8353805753057078e+07 -8.7986512958909914e+07 -8.7573970786810830e+07 -8.7110906448007986e+07 -8.6592031342005298e+07 -8.6012389543722421e+07 -8.5368379451738536e+07 -8.4654910048783094e+07 -8.3871800023364842e+07 -8.3020861067464128e+07 -8.2108768197702438e+07 -8.1146879915082753e+07 -8.0156817055946827e+07 -7.9171574849075168e+07 -7.8239819351087630e+07 -7.7433435751630634e+07 -7.6853772622801185e+07 -7.6646176234968185e+07 -7.7019144948918983e+07 -7.8278761312421009e+07 -8.0888703876235038e+07 -8.5583537898901999e+07 -9.3593437443824843e+07 1.8218676467606366e+07 +2.8382794264754940e-01 -1.0684759334147707e+07 -1.0589553612499500e+07 -1.0427038945031764e+07 -1.0217523122416941e+07 -1.0014692467712102e+07 -9.8986294735821486e+06 -9.9047977823807150e+06 -9.9735040099213868e+06 -1.0044136544810565e+07 -1.0104645556169651e+07 -1.0162449831125397e+07 -1.0218655030995484e+07 -1.0271876625931248e+07 -1.0321708736494116e+07 -1.0368395901542475e+07 -1.0411791413552864e+07 -1.0451845727055164e+07 -1.0488946822254784e+07 -1.0523606271234142e+07 -1.0556338131260840e+07 -1.0587641755473442e+07 -1.0617797953400342e+07 -1.0645220909535185e+07 -1.0666531766712390e+07 -1.0689517013277454e+07 -1.0721824635761973e+07 -1.0759592683710624e+07 -1.0800714301969992e+07 -1.0845627531446621e+07 -1.0895314358113214e+07 -1.0950930491630049e+07 -1.1013794935576567e+07 -1.1085416772176744e+07 -1.1167529302983139e+07 -1.1262130178314874e+07 -1.1371526189646319e+07 -1.1498386799453450e+07 -1.1645805351312827e+07 -1.1817372644746071e+07 -1.2017260479803868e+07 -1.2269163657415032e+07 -1.2566447202709334e+07 -1.2917464069754791e+07 -1.3332119412270339e+07 -1.3822205596988371e+07 -1.4401828949633529e+07 -1.5087957691682946e+07 -1.5901123509122917e+07 -1.6866330986701671e+07 -1.8014094434999820e+07 -1.9382094726566304e+07 -2.1015796934576102e+07 -2.2969511005161379e+07 -2.5308091801757198e+07 -2.8102522971312739e+07 -3.1424617726086386e+07 -3.5333047609284595e+07 -3.9854101322982758e+07 -4.4958379511597745e+07 -5.0541883476102158e+07 -5.6423536296443917e+07 -6.2362826648809277e+07 -6.8098303619673654e+07 -7.3390890761938274e+07 -7.8061578149719477e+07 -8.2009661116604581e+07 -8.5211202832715958e+07 -8.7707649167954788e+07 -8.9577755644872665e+07 -9.0922849827434435e+07 -9.1848420465644941e+07 -9.2447336363001972e+07 -9.2801569696465388e+07 -9.2978809846413851e+07 -9.3028666104558244e+07 -9.2994857683140099e+07 -9.2908453883458897e+07 -9.2792132489619061e+07 -9.2660347461047649e+07 -9.2560656838568613e+07 -9.2457398494040072e+07 -9.2350906533524588e+07 -9.2238912695674077e+07 -9.2123228538018227e+07 -9.2001575552150756e+07 -9.1873362893487558e+07 -9.1734032192207932e+07 -9.1584900367280692e+07 -9.1423219029364154e+07 -9.1246841671648175e+07 -9.1053159996637493e+07 -9.0839235531062335e+07 -9.0601789817352578e+07 -9.0336660151278228e+07 -9.0040417464446798e+07 -8.9708246609799549e+07 -8.9335323725903735e+07 -8.8916457792954430e+07 -8.8446295191100106e+07 -8.7919466247590825e+07 -8.7330940975624517e+07 -8.6677053087244481e+07 -8.5952646775278702e+07 -8.5157532263410091e+07 -8.4293549018991068e+07 -8.3367474384170100e+07 -8.2390840984636277e+07 -8.1385601100370899e+07 -8.0385257526568145e+07 -7.9439213654997557e+07 -7.8620468832300439e+07 -7.8031920042416736e+07 -7.7821143399491832e+07 -7.8199830110552043e+07 -7.9478755757081121e+07 -8.2128707802367091e+07 -8.6895515711849555e+07 -9.5028202182712972e+07 1.8824631377841610e+07 +2.8879626542180747e-01 -1.1058884223463280e+07 -1.0964003363893852e+07 -1.0802071092660448e+07 -1.0593323485132668e+07 -1.0391251484419957e+07 -1.0275646840192474e+07 -1.0281839242885118e+07 -1.0350345794283368e+07 -1.0420774329176977e+07 -1.0481121129174335e+07 -1.0538779807839669e+07 -1.0594853977267258e+07 -1.0647966553311020e+07 -1.0697715826605439e+07 -1.0744348379327590e+07 -1.0787721539084917e+07 -1.0827790049178783e+07 -1.0864945311748052e+07 -1.0899702617844872e+07 -1.0932580672460549e+07 -1.0964084687364055e+07 -1.0994503381587371e+07 -1.1022268171906827e+07 -1.1044031989886254e+07 -1.1067579865745619e+07 -1.1100547986473801e+07 -1.1139101000729334e+07 -1.1181161269154018e+07 -1.1227193547360584e+07 -1.1278209814695120e+07 -1.1335400819632033e+07 -1.1400126567360310e+07 -1.1473944071797097e+07 -1.1558642596356532e+07 -1.1656285101418726e+07 -1.1769254475755703e+07 -1.1900308837432962e+07 -1.2052644712943979e+07 -1.2229972982989963e+07 -1.2436605105971875e+07 -1.2697036974310514e+07 -1.3004408398543986e+07 -1.3367350216851972e+07 -1.3796095225234734e+07 -1.4302822697874838e+07 -1.4902096650398143e+07 -1.5611427541221902e+07 -1.6451989664232699e+07 -1.7449548045448329e+07 -1.8635507690479428e+07 -2.0048588194042780e+07 -2.1735396194604412e+07 -2.3751414630356550e+07 -2.6162596963623054e+07 -2.9040570443807777e+07 -3.2456905468384501e+07 -3.6468509339781269e+07 -4.1097883814275019e+07 -4.6309720124153428e+07 -5.1992619460382126e+07 -5.7958053125710100e+07 -6.3959705892127372e+07 -6.9733352152540743e+07 -7.5040538937444985e+07 -7.9705750080869958e+07 -8.3633449039034680e+07 -8.6805264093712479e+07 -8.9267738091433927e+07 -9.1103592470644102e+07 -9.2416965647483855e+07 -9.3315082963835999e+07 -9.3891541565852568e+07 -9.4228407235005066e+07 -9.4392924432276353e+07 -9.4433852855119646e+07 -9.4393992024197012e+07 -9.4303444222351611e+07 -9.4184092273999915e+07 -9.4049834939825729e+07 -9.3948517553811744e+07 -9.3843658699876472e+07 -9.3735551839432314e+07 -9.3621873502274469e+07 -9.3504453772750601e+07 -9.3380978990044504e+07 -9.3250838318768740e+07 -9.3109419077750757e+07 -9.2958051767589256e+07 -9.2793946782856196e+07 -9.2614925431394726e+07 -9.2418340308185235e+07 -9.2201208882490739e+07 -9.1960205564183116e+07 -9.1691095187159210e+07 -9.1390411315891847e+07 -9.1053260589215890e+07 -9.0674746820053101e+07 -9.0249601158126593e+07 -8.9772389715383261e+07 -8.9237662310865954e+07 -8.8640315492739037e+07 -8.7976618335252672e+07 -8.7241351253351480e+07 -8.6434315824044675e+07 -8.5557379096986070e+07 -8.4617420027338997e+07 -8.3626144153820708e+07 -8.2605832893206656e+07 -8.1590493149095967e+07 -8.0630260147911698e+07 -7.9799240154056951e+07 -7.9201867565179303e+07 -7.8987932892244309e+07 -7.9372297822941348e+07 -8.0670398345401809e+07 -8.3360081399483114e+07 -8.8198362391141623e+07 -9.6452980995113865e+07 1.9438782429125220e+07 +2.9376458819606555e-01 -1.1439128232905924e+07 -1.1344566929730885e+07 -1.1183208248616965e+07 -1.0975217216139004e+07 -1.0773892630011208e+07 -1.0658739728563530e+07 -1.0664956288191821e+07 -1.0733267220827660e+07 -1.0803495933277788e+07 -1.0863684087249639e+07 -1.0921200960816778e+07 -1.0977147969263704e+07 -1.1030155466762709e+07 -1.1079825832392137e+07 -1.1126407792187680e+07 -1.1169762770469462e+07 -1.1209849753444629e+07 -1.1247063706973493e+07 -1.1281923697716931e+07 -1.1314953217414213e+07 -1.1346663411670610e+07 -1.1377351090206467e+07 -1.1405464921547573e+07 -1.1427689717411393e+07 -1.1451809779149795e+07 -1.1485450082100155e+07 -1.1524801851445349e+07 -1.1567816819412204e+07 -1.1614986842970058e+07 -1.1667354362167893e+07 -1.1726145712676991e+07 -1.1792762541796250e+07 -1.1868810536451491e+07 -1.1956135780923704e+07 -1.2056867540526735e+07 -1.2173465952821119e+07 -1.2308779119515795e+07 -1.2466108283668244e+07 -1.2649286168455958e+07 -1.2862765913559591e+07 -1.3131856530418096e+07 -1.3449468818178356e+07 -1.3824515256573837e+07 -1.4267560547649201e+07 -1.4791175654411163e+07 -1.5410387547816295e+07 -1.6143254549986295e+07 -1.7011599255596913e+07 -1.8041952288041301e+07 -1.9266612747550588e+07 -2.0725338620373663e+07 -2.2465869845444303e+07 -2.4544840073902987e+07 -2.7029257421830226e+07 -2.9991315923254900e+07 -3.3502227379729778e+07 -3.7616984021523632e+07 -4.2354140214110918e+07 -4.7672355079860017e+07 -5.3452799462616622e+07 -5.9499589787766077e+07 -6.5560819311531618e+07 -7.1369760669265077e+07 -7.6688843318451971e+07 -8.1346232871462539e+07 -8.5251654218347996e+07 -8.8392308448941484e+07 -9.0819785215845928e+07 -9.2620693508154303e+07 -9.3901898821386382e+07 -9.4772288908608839e+07 -9.5326130330476895e+07 -9.5645540226505026e+07 -9.5797289767925456e+07 -9.5829271836110637e+07 -9.5783355696349576e+07 -9.5688669895532548e+07 -9.5566298160161033e+07 -9.5429581826156095e+07 -9.5326648036212027e+07 -9.5220199490512818e+07 -9.5110488922979772e+07 -9.4995137871002927e+07 -9.4875994746496022e+07 -9.4750711043729261e+07 -9.4618655643481955e+07 -9.4475162527017862e+07 -9.4321575426317215e+07 -9.4155063808342248e+07 -9.3973417021502629e+07 -9.3773948827579141e+07 -9.3553632946801558e+07 -9.3309097072031304e+07 -9.3036033663377374e+07 -9.2730939766591862e+07 -9.2388844103338227e+07 -9.2004778668109581e+07 -9.1573397325908199e+07 -9.1089186483264506e+07 -9.0546616015421242e+07 -8.9940509601822466e+07 -8.9267071729083106e+07 -8.8521020045299411e+07 -8.7702147299414471e+07 -8.6812347930089593e+07 -8.5858601793041751e+07 -8.4852786127479374e+07 -8.3817509179543197e+07 -8.2787278501411706e+07 -8.1812955652821511e+07 -8.0969746572731987e+07 -8.0363612070384070e+07 -8.0146541600846067e+07 -8.0536544958494782e+07 -8.1853685898411825e+07 -8.4582821382290900e+07 -8.9492074458213866e+07 -9.7867770071432039e+07 2.0061049052546628e+07 +2.9873291097032362e-01 -1.1825472607689599e+07 -1.1731225984705986e+07 -1.1570432273130674e+07 -1.1363186777875762e+07 -1.1162598414515801e+07 -1.1047890944475776e+07 -1.1054132111407444e+07 -1.1122250914937235e+07 -1.1192283875046585e+07 -1.1252317130133882e+07 -1.1309695784548214e+07 -1.1365519370236965e+07 -1.1418425574530052e+07 -1.1468020924769495e+07 -1.1514556237121001e+07 -1.1557897054052893e+07 -1.1598006732261814e+07 -1.1635283809119184e+07 -1.1670251238311779e+07 -1.1703437419650996e+07 -1.1735359511787973e+07 -1.1766322584522294e+07 -1.1794792597763505e+07 -1.1817486324675575e+07 -1.1842188059916127e+07 -1.1876512140927121e+07 -1.1916676349196872e+07 -1.1960661948573081e+07 -1.2008988283470990e+07 -1.2062728716999441e+07 -1.2123145717496822e+07 -1.2191683210317826e+07 -1.2269996291240251e+07 -1.2359988718214035e+07 -1.2463857048738101e+07 -1.2584139811654301e+07 -1.2723776409308620e+07 -1.2886174321590943e+07 -1.3075289859085329e+07 -1.3295719845299836e+07 -1.3573598342561655e+07 -1.3901603349790402e+07 -1.4288932693050068e+07 -1.4746487174348833e+07 -1.5287234132933287e+07 -1.5926668631856490e+07 -1.6683402304713249e+07 -1.7579911486649316e+07 -1.8643497191999123e+07 -1.9907355493013181e+07 -2.1412281686801411e+07 -2.3207139696160998e+07 -2.5349690205399182e+07 -2.7907950356565721e+07 -3.0954602525813136e+07 -3.4560383333624594e+07 -3.8778220307975784e+07 -4.3622564330653541e+07 -4.9045927413799770e+07 -5.4922029287741505e+07 -6.1047736530876175e+07 -6.7165766929648831e+07 -7.3007162155505210e+07 -7.8335486245907590e+07 -8.2982765872993693e+07 -8.6864072712404758e+07 -8.9972182803621292e+07 -9.2363679624966621e+07 -9.4128980776732355e+07 -9.5377595884429455e+07 -9.6220002391167983e+07 -9.6751078908998132e+07 -9.7052953065597787e+07 -9.7191895483413830e+07 -9.7214915861587420e+07 -9.7162943307780728e+07 -9.7064126426848561e+07 -9.6938746086306289e+07 -9.6799584221544117e+07 -9.6695044433400929e+07 -9.6587017034644246e+07 -9.6475713963296965e+07 -9.6358701987495512e+07 -9.6237847650065437e+07 -9.6110767909217179e+07 -9.5976811069105044e+07 -9.5831258747268602e+07 -9.5675467556667238e+07 -9.5506566325807512e+07 -9.5322312669360235e+07 -9.5119981790100023e+07 -9.4896503968341365e+07 -9.4648460594738692e+07 -9.4371471845151946e+07 -9.4061999093817726e+07 -9.3714993443331137e+07 -9.3325415576565892e+07 -9.2887842620239764e+07 -9.2396681838012457e+07 -9.1846323726310968e+07 -9.1231519692392930e+07 -9.0548409685509220e+07 -8.9791649597787589e+07 -8.8961023169051677e+07 -8.8058452033587769e+07 -8.7091016234827802e+07 -8.6070763499569297e+07 -8.5020626594964489e+07 -8.3975610260453388e+07 -8.2987296885870665e+07 -8.2131984838215545e+07 -8.1517150332240969e+07 -8.1296966308003634e+07 -8.1692568284361243e+07 -8.3028615130063713e+07 -8.5796924354903951e+07 -9.0776648317668721e+07 -9.9272565474104837e+07 2.0691351001679007e+07 +3.0370123374458169e-01 -1.2217898555075601e+07 -1.2123961737630462e+07 -1.1963724824878257e+07 -1.1757213944228699e+07 -1.1557351282372704e+07 -1.1443082887887571e+07 -1.1449348908673840e+07 -1.1517279420870272e+07 -1.1587120472555779e+07 -1.1647002329076776e+07 -1.1704246329131125e+07 -1.1759950180615440e+07 -1.1812758761206903e+07 -1.1862282819261612e+07 -1.1908775385893719e+07 -1.1952106018870484e+07 -1.1992242536646014e+07 -1.2029587086993419e+07 -1.2064666636804303e+07 -1.2098014599480169e+07 -1.2130154249031076e+07 -1.2161399045411607e+07 -1.2190232318068260e+07 -1.2213402867558744e+07 -1.2238695694425242e+07 -1.2273715061180782e+07 -1.2314705286780423e+07 -1.2359677332702782e+07 -1.2409178413867557e+07 -1.2464313274454325e+07 -1.2526381058483912e+07 -1.2596868600240095e+07 -1.2677481134692788e+07 -1.2770180940101162e+07 -1.2877232845691213e+07 -1.3001254904785840e+07 -1.3145279126362519e+07 -1.3312820733741611e+07 -1.3507961353226671e+07 -1.3735443474054355e+07 -1.4022238044403551e+07 -1.4360786482078889e+07 -1.4760575611008639e+07 -1.5232846456309782e+07 -1.5790967325873427e+07 -1.6450906381551867e+07 -1.7231833835356470e+07 -1.8156884947376832e+07 -1.9254135551793490e+07 -2.0557681046553217e+07 -2.2109352210173145e+07 -2.3959126588965993e+07 -2.6165866843269616e+07 -2.8798551883275870e+07 -3.1930272456323393e+07 -3.5631172758592717e+07 -3.9951967356730051e+07 -4.4902852025643334e+07 -5.0430084325215377e+07 -5.6399921310964629e+07 -6.2602092425982982e+07 -6.8774159216466814e+07 -7.4645200732309908e+07 -7.9980160904076099e+07 -8.4615098203617096e+07 -8.8470508801194757e+07 -9.1544740590084732e+07 -9.3899315321167439e+07 -9.5628379828974947e+07 -9.6844005793771729e+07 -9.7658189078995094e+07 -9.8166364515955999e+07 -9.8450630683409572e+07 -9.8576731464907214e+07 -9.8590777828955188e+07 -9.8532749452018365e+07 -9.8429809275467068e+07 -9.8301431903142408e+07 -9.8159838131292641e+07 -9.8053702794939250e+07 -9.7944107401822820e+07 -9.7831223040055871e+07 -9.7712561938009933e+07 -9.7590008575136706e+07 -9.7461145683285132e+07 -9.7325300698091209e+07 -9.7177703846921101e+07 -9.7019724273457542e+07 -9.6848450456915900e+07 -9.6661608504041910e+07 -9.6456435332972914e+07 -9.6229818093358383e+07 -9.5978292288595662e+07 -9.5697405900289729e+07 -9.5383585477936029e+07 -9.5031704803490415e+07 -9.4636653755899191e+07 -9.4192933269191742e+07 -9.3694872027740359e+07 -9.3136781713900462e+07 -9.2513342059745476e+07 -9.1820628527832553e+07 -9.1053236264891863e+07 -9.0210939820817798e+07 -8.9295687831836894e+07 -8.8314659816364184e+07 -8.7280072775333866e+07 -8.6215181687146381e+07 -8.5155485016404435e+07 -8.4153280477574274e+07 -8.3285951615783110e+07 -8.2662479040886119e+07 -8.2439203712915570e+07 -8.2840364483343035e+07 -8.4195182668873429e+07 -8.7002386833103448e+07 -9.2052080280435637e+07 -1.0066736316353539e+08 2.1329608352345422e+07 +3.0866955651883976e-01 -1.2616386820143286e+07 -1.2522755097854679e+07 -1.2363066924038287e+07 -1.2157280304895362e+07 -1.1958133061416544e+07 -1.1844297801240500e+07 -1.1850588973639790e+07 -1.1918334738045191e+07 -1.1987987606978772e+07 -1.2047721482417813e+07 -1.2104834272809638e+07 -1.2160421997348754e+07 -1.2213136588461360e+07 -1.2262593033877086e+07 -1.2309046605142832e+07 -1.2352370924037490e+07 -1.2392538360127395e+07 -1.2429954681046005e+07 -1.2465150969557133e+07 -1.2498665750041945e+07 -1.2531028561692648e+07 -1.2562561336277647e+07 -1.2591764881155368e+07 -1.2615420084688164e+07 -1.2641313351326242e+07 -1.2677039422761219e+07 -1.2718869138529308e+07 -1.2764843330207372e+07 -1.2815537460800730e+07 -1.2872088110551137e+07 -1.2935831639452636e+07 -1.3008298416433422e+07 -1.3091244540473960e+07 -1.3186691650540829e+07 -1.3296973819183502e+07 -1.3424789748141484e+07 -1.3573265347838588e+07 -1.3746025077683788e+07 -1.3947277591347091e+07 -1.4181913004636507e+07 -1.4477750888230247e+07 -1.4826992306185031e+07 -1.5239416677788120e+07 -1.5726609302927036e+07 -1.6302343954335891e+07 -1.6983066767951526e+07 -1.7788511618627787e+07 -1.8742477618782360e+07 -1.9873819484559558e+07 -2.1217533768491164e+07 -2.2816484153673247e+07 -2.4721750414675403e+07 -2.6993270777868185e+07 -2.9700937086020458e+07 -3.2918167054579511e+07 -3.6714394696231231e+07 -4.1137974889164701e+07 -4.6194701253467783e+07 -5.1824477162430599e+07 -5.7886094372785427e+07 -6.4162265147228099e+07 -7.0385616756056577e+07 -7.6283531236062154e+07 -8.1622570859262452e+07 -8.6242988293097496e+07 -9.0070774576975346e+07 -9.3109841425366357e+07 -9.5426590958557129e+07 -9.7118819556173772e+07 -9.8301079794844344e+07 -9.9086816132558659e+07 -9.9571965283003762e+07 -9.9838558529662803e+07 -9.9951787854331061e+07 -9.9956850729707941e+07 -9.9892768724620908e+07 -9.9785713855592921e+07 -9.9654351395591304e+07 -9.9510339486961529e+07 -9.9402619094282851e+07 -9.9291466585316449e+07 -9.9177012156254962e+07 -9.9056713731997624e+07 -9.8932473536582723e+07 -9.8801840386079177e+07 -9.8664120556532100e+07 -9.8514493857899800e+07 -9.8354341615024194e+07 -9.8180712247021452e+07 -9.7991300578603551e+07 -9.7783305517671704e+07 -9.7553571392610028e+07 -9.7298588234450579e+07 -9.7013831921285659e+07 -9.6695695024561644e+07 -9.6338974303656787e+07 -9.5938489341887906e+07 -9.5488665426802740e+07 -9.4983753226814628e+07 -9.4417986175419584e+07 -9.3785972926418141e+07 -9.3083724507167712e+07 -9.2305776329053074e+07 -9.1451893571442351e+07 -9.0524051679322749e+07 -8.9529528932124466e+07 -8.8480710391293183e+07 -8.7401170936301380e+07 -8.6326899292460412e+07 -8.5310902992180631e+07 -8.4431643505025223e+07 -8.3799594821663201e+07 -8.3573250449602619e+07 -8.3979930173217490e+07 -8.5353385076984107e+07 -8.8199205263895512e+07 -9.3318366585295439e+07 -1.0205215902118553e+08 2.1975741502381135e+07 +3.1363787929309783e-01 -1.3020917971950920e+07 -1.2927586736363357e+07 -1.2768439649238236e+07 -1.2563367085340824e+07 -1.2364925319029350e+07 -1.2251517538478289e+07 -1.2257834052444827e+07 -1.2325398347822092e+07 -1.2394866886805560e+07 -1.2454456077109057e+07 -1.2511441056577979e+07 -1.2566916123352865e+07 -1.2619540271510886e+07 -1.2668932663245328e+07 -1.2715350945634618e+07 -1.2758672743844165e+07 -1.2798875089367837e+07 -1.2836367407099318e+07 -1.2871684991144821e+07 -1.2905371551315416e+07 -1.2937963066590630e+07 -1.2969790008170284e+07 -1.2999370769748844e+07 -1.3023518399039920e+07 -1.3050021383141162e+07 -1.3086465489240697e+07 -1.3129148062625702e+07 -1.3176139983712649e+07 -1.3228045334433028e+07 -1.3286032983921004e+07 -1.3351477045484254e+07 -1.3425952043141805e+07 -1.3511265659153301e+07 -1.3609499727202799e+07 -1.3723058526885578e+07 -1.3854722522764318e+07 -1.4007712810201790e+07 -1.4185764563269997e+07 -1.4393215157757919e+07 -1.4635104275548240e+07 -1.4940111746852657e+07 -1.5300194517697232e+07 -1.5725428145599969e+07 -1.6227746184428690e+07 -1.6821332270722210e+07 -1.7523115257096052e+07 -1.8353397581636086e+07 -1.9336646877176482e+07 -2.0502500435704693e+07 -2.1886857267302200e+07 -2.3533610637518391e+07 -2.5494930128274716e+07 -2.7831801794008344e+07 -3.0614980050539415e+07 -3.3918126840653315e+07 -3.7809847857030347e+07 -4.2335993247072034e+07 -4.7497812097148657e+07 -5.3228761405800730e+07 -5.9380173674250655e+07 -6.5727870758570120e+07 -7.1999769926652268e+07 -7.7921818819024533e+07 -8.3262429623455644e+07 -8.7866203455201149e+07 -9.1664689560363084e+07 -9.4667350792032346e+07 -9.6945409595176950e+07 -9.8600232007489309e+07 -9.9748771299039036e+07 -1.0050585212873267e+08 -1.0096786021670042e+08 -1.0121672255497454e+08 -1.0131705504905555e+08 -1.0131312765875652e+08 -1.0124299573909061e+08 -1.0113183555574329e+08 -1.0099750030319738e+08 -1.0085108416723666e+08 -1.0074178925005968e+08 -1.0062909052221058e+08 -1.0051307725896436e+08 -1.0039115332295649e+08 -1.0026523849335882e+08 -1.0013284798182313e+08 -9.9993266614375040e+07 -9.9841624756586492e+07 -9.9679315564239815e+07 -9.9503347686047554e+07 -9.9311384890582576e+07 -9.9100588350291610e+07 -9.8867759881494820e+07 -9.8609344458252847e+07 -9.8320745945977896e+07 -9.7998323784190163e+07 -9.7636798009308457e+07 -9.7230918416146800e+07 -9.6775035193001300e+07 -9.6263321555844456e+07 -9.5689933254858449e+07 -9.5049408461947694e+07 -9.4337693821972281e+07 -9.3549266020589441e+07 -9.2683880686228469e+07 -9.1743539878882840e+07 -9.0735619925623640e+07 -8.9672672733961284e+07 -8.8578590772962794e+07 -8.7489849563026696e+07 -8.6460160945887655e+07 -8.5569057058176786e+07 -8.4928494252221167e+07 -8.4699103104970232e+07 -8.5111261924087390e+07 -8.6503218868307143e+07 -8.9387376044819072e+07 -9.4575503418024823e+07 -1.0342694887097585e+08 2.2629671171392214e+07 +3.1860620206735590e-01 -1.3431472092427613e+07 -1.3338437058488956e+07 -1.3179823466917468e+07 -1.2975455248896955e+07 -1.2777709323422663e+07 -1.2664723388875958e+07 -1.2671065419157803e+07 -1.2738451882707814e+07 -1.2807739470641509e+07 -1.2867187305587243e+07 -1.2924047672636479e+07 -1.2979413447430039e+07 -1.3031950582119392e+07 -1.3081282471470315e+07 -1.3127669091268769e+07 -1.3170992143405899e+07 -1.3211233291259242e+07 -1.3248805761508754e+07 -1.3284249130442282e+07 -1.3318112374054125e+07 -1.3350938062368173e+07 -1.3383065299627200e+07 -1.3413030152738495e+07 -1.3437677919341942e+07 -1.3464799827929595e+07 -1.3501973209950922e+07 -1.3545521903523101e+07 -1.3593547022059191e+07 -1.3646681630194709e+07 -1.3706127337637076e+07 -1.3773296544629229e+07 -1.3849808545589611e+07 -1.3937523319824457e+07 -1.4038583723167930e+07 -1.4155465197950041e+07 -1.4291031076396259e+07 -1.4448598910880912e+07 -1.4632016054337328e+07 -1.4845750282378808e+07 -1.5094992760796728e+07 -1.5409295115449816e+07 -1.5780366418615147e+07 -1.6218581853560137e+07 -1.6736227134121083e+07 -1.7347900061372709e+07 -1.8071016813142609e+07 -1.8926453105355345e+07 -1.9939349498765148e+07 -2.1140129184753723e+07 -2.2565594407348324e+07 -2.4260663949652050e+07 -2.6278583764381297e+07 -2.8681358693934508e+07 -3.1540553896959707e+07 -3.4929991559498176e+07 -3.8917330674994588e+07 -4.3545773447184652e+07 -4.8811886801256068e+07 -5.4642596648258850e+07 -6.0881790673889071e+07 -6.7298533507037044e+07 -7.3616258593404174e+07 -7.9559738568647578e+07 -8.4899460241489738e+07 -8.9484519484189108e+07 -9.3252080340248823e+07 -9.6217139739513084e+07 -9.8455678461252287e+07 -1.0007255222139212e+08 -1.0118703576905285e+08 -1.0191526698936269e+08 -1.0235402916006753e+08 -1.0258510919495577e+08 -1.0267252370084578e+08 -1.0265960182425645e+08 -1.0258342514117737e+08 -1.0246816975546061e+08 -1.0233087433822376e+08 -1.0218206801641087e+08 -1.0207120914478064e+08 -1.0195697511319140e+08 -1.0183941425802009e+08 -1.0171587662725042e+08 -1.0158829936732818e+08 -1.0145416439798237e+08 -1.0131273480511168e+08 -1.0115909248222089e+08 -1.0099464206716847e+08 -1.0081635272718069e+08 -1.0062185740095779e+08 -1.0040827980046034e+08 -1.0017237953901711e+08 -9.9910556949261367e+07 -9.9618143975677103e+07 -9.9291467771267578e+07 -9.8925171949299097e+07 -9.8513937024530098e+07 -9.8052038632211864e+07 -9.7533573099989086e+07 -9.6952619060174748e+07 -9.6303644800788477e+07 -9.5582532635794714e+07 -9.4783701535007358e+07 -9.3906897395986453e+07 -9.2954148699676812e+07 -9.1932929107038662e+07 -9.0855956156667516e+07 -8.9747437594924852e+07 -8.8644332270111978e+07 -8.7601050822829038e+07 -8.6698188795451164e+07 -8.6049173878935128e+07 -8.5816758234572589e+07 -8.6234356274751708e+07 -8.7644680524790496e+07 -9.0566895540158600e+07 -9.5823486929678544e+07 -1.0479172849876341e+08 2.3291318400510184e+07 +3.2357452484161398e-01 -1.3848029190390352e+07 -1.3755286137270402e+07 -1.3597198784616092e+07 -1.3393525266338395e+07 -1.3196465929489518e+07 -1.3083896380769253e+07 -1.3090264216627998e+07 -1.3157475925643897e+07 -1.3226586276219003e+07 -1.3285895771049347e+07 -1.3342634851825746e+07 -1.3397894580653595e+07 -1.3450348108014036e+07 -1.3499622919179151e+07 -1.3545981379787434e+07 -1.3589309422546791e+07 -1.3629593203396715e+07 -1.3667249915536884e+07 -1.3702823491390036e+07 -1.3736868276659084e+07 -1.3769933532666270e+07 -1.3802367134647066e+07 -1.3832722887015900e+07 -1.3857878441541782e+07 -1.3885628411540110e+07 -1.3923542222186288e+07 -1.3967970194391707e+07 -1.4017043861987036e+07 -1.4071425630563421e+07 -1.4132350300991341e+07 -1.4201269089609088e+07 -1.4279846671735575e+07 -1.4369996031814611e+07 -1.4473921868611300e+07 -1.4594171734670298e+07 -1.4733692925131688e+07 -1.4895900709874593e+07 -1.5084756070374390e+07 -1.5304858842427973e+07 -1.5561553571657995e+07 -1.5885275113461401e+07 -1.6267480919338802e+07 -1.6718849229872949e+07 -1.7252021750831570e+07 -1.7882014649216741e+07 -1.8626735901363797e+07 -1.9507639028469872e+07 -2.0550541664123330e+07 -2.1786655850980211e+07 -2.3253687316631656e+07 -2.4997575556598943e+07 -2.7072628452816766e+07 -2.9541839319717668e+07 -3.2477530812103976e+07 -3.5953600224576496e+07 -4.0036641360238381e+07 -4.4767067232899815e+07 -5.0136629802195579e+07 -5.6065646574387752e+07 -6.2390582985436037e+07 -6.8873885621908978e+07 -7.5234731813555583e+07 -8.1196975144899696e+07 -8.6533394899730265e+07 -9.1097720275481597e+07 -9.4832780235378280e+07 -9.7759084605036482e+07 -9.9957308743437991e+07 -1.0153571806960285e+08 -1.0261583061289138e+08 -1.0331503191526572e+08 -1.0373045275547683e+08 -1.0394370535525469e+08 -1.0401818471558318e+08 -1.0399626655477884e+08 -1.0391405162228890e+08 -1.0379471184157643e+08 -1.0365446920276271e+08 -1.0350328686199562e+08 -1.0339087464232539e+08 -1.0327511623929904e+08 -1.0315601904400894e+08 -1.0303087954160255e+08 -1.0290165206089632e+08 -1.0276578554197678e+08 -1.0262252104226974e+08 -1.0246689295484580e+08 -1.0230031705016118e+08 -1.0211972330392380e+08 -1.0192271405128050e+08 -1.0170637581797810e+08 -1.0146742632464325e+08 -1.0120222167761780e+08 -1.0090602199250364e+08 -1.0057512298118071e+08 -1.0020409213398859e+08 -9.9787541193549678e+07 -9.9319671789598808e+07 -9.8794503925413549e+07 -9.8206039681379780e+07 -9.7548678058509037e+07 -9.6818237093795925e+07 -9.6009079049694806e+07 -9.5120939913344115e+07 -9.4155874392815098e+07 -9.3121452768719971e+07 -9.2030556995074093e+07 -9.0907707782609835e+07 -8.9790343838485062e+07 -8.8733569090097502e+07 -8.7819035220343977e+07 -8.7161630231536850e+07 -8.6926212377359062e+07 -8.7349209747190133e+07 -8.8777766511415631e+07 -9.1737760096549809e+07 -9.7062313252802968e+07 -1.0614649367024936e+08 2.3960604552142940e+07 +3.2854284761587205e-01 -1.4270568775044207e+07 -1.4178113628039600e+07 -1.4020545354676574e+07 -1.3817557504272519e+07 -1.3621175554011570e+07 -1.3509017250908609e+07 -1.3515411134797165e+07 -1.3582451434074767e+07 -1.3651387661830014e+07 -1.3710562051759209e+07 -1.3767182904390402e+07 -1.3822339875119990e+07 -1.3874713073200144e+07 -1.3923934116958236e+07 -1.3970267894757483e+07 -1.4013604547727982e+07 -1.4053934749962214e+07 -1.4091679716610432e+07 -1.4127387866354108e+07 -1.4161618998151867e+07 -1.4194929150422119e+07 -1.4227675124129564e+07 -1.4258428519390572e+07 -1.4284099450856596e+07 -1.4312486550045725e+07 -1.4351151853451593e+07 -1.4396472159122622e+07 -1.4446609609928364e+07 -1.4502256306873122e+07 -1.4564680691153513e+07 -1.4635373319557182e+07 -1.4716044853948807e+07 -1.4808661986299179e+07 -1.4915492072360860e+07 -1.5039155714063888e+07 -1.5182685255103890e+07 -1.5349594931500576e+07 -1.5543960788164724e+07 -1.5770516364135977e+07 -1.6034761458473451e+07 -1.6368025486456897e+07 -1.6761510540670494e+07 -1.7226201293999389e+07 -1.7775099201188445e+07 -1.8423642896444906e+07 -1.9190236491260208e+07 -2.0096915650918234e+07 -2.1170178962661970e+07 -2.2442029899325993e+07 -2.3951077394526951e+07 -2.5744276114276897e+07 -2.7876980434118915e+07 -3.0413140575919062e+07 -3.3425782081429075e+07 -3.6988791160692878e+07 -4.1167577950360268e+07 -4.5999627123862825e+07 -5.1471747755548038e+07 -5.7497578937486731e+07 -6.3906194276654176e+07 -7.0453567120118693e+07 -7.6854847553480476e+07 -8.2833222434784710e+07 -8.8163974555889264e+07 -9.2705597467338011e+07 -9.6406628977209687e+07 -9.9293066751952156e+07 -1.0145021538347089e+08 -1.0298967011078620e+08 -1.0403511508496940e+08 -1.0470511932456791e+08 -1.0509711241192418e+08 -1.0529249839783910e+08 -1.0535402925219132e+08 -1.0532311530740719e+08 -1.0523486993119410e+08 -1.0511145722213367e+08 -1.0496828060419188e+08 -1.0481473653043966e+08 -1.0470078160390118e+08 -1.0458350977843109e+08 -1.0446288750360240e+08 -1.0433615795920588e+08 -1.0420529247261390e+08 -1.0406770731799184e+08 -1.0392262123584084e+08 -1.0376502209048900e+08 -1.0359633643602958e+08 -1.0341345534645887e+08 -1.0321395077922645e+08 -1.0299487234946384e+08 -1.0275289619470192e+08 -1.0248433460965377e+08 -1.0218437597492114e+08 -1.0184928540571342e+08 -1.0147355456965819e+08 -1.0105172694633970e+08 -1.0057793070689324e+08 -1.0004611009483249e+08 -9.9450191204457834e+07 -9.8784504347561896e+07 -9.8044803337559432e+07 -9.7225394738714442e+07 -9.6326004447714835e+07 -9.5348713206165373e+07 -9.4301187199597597e+07 -9.3196471581862658e+07 -9.2059397713311791e+07 -9.0927880689929411e+07 -8.9857712211762905e+07 -8.8931592833351463e+07 -8.8265859836638436e+07 -8.8027462069146141e+07 -8.8455818860393226e+07 -8.9902473290123031e+07 -9.2899966057672545e+07 -9.8291978516513661e+07 -1.0749124014786315e+08 2.4637451309721846e+07 +3.3351117039013012e-01 -1.4699070222905170e+07 -1.4606898869968759e+07 -1.4449843044881621e+07 -1.4247531773373099e+07 -1.4051818456582824e+07 -1.3940066181088544e+07 -1.3946486462019050e+07 -1.4013358304985536e+07 -1.4082123947443182e+07 -1.4141166168362485e+07 -1.4197671811823023e+07 -1.4252729202183634e+07 -1.4305025279123517e+07 -1.4354195908134570e+07 -1.4400508418241320e+07 -1.4443857187420711e+07 -1.4484237538023017e+07 -1.4522074711821644e+07 -1.4557921741693491e+07 -1.4592343961467097e+07 -1.4625904281554759e+07 -1.4658968569853699e+07 -1.4690126288559757e+07 -1.4716320124553109e+07 -1.4745353352208324e+07 -1.4784781123464068e+07 -1.4831006714232704e+07 -1.4882223063716987e+07 -1.4939152321080696e+07 -1.5003097014942905e+07 -1.5075587561620099e+07 -1.5158381210638193e+07 -1.5253499057958022e+07 -1.5363271923524465e+07 -1.5490394389551491e+07 -1.5637984924017234e+07 -1.5809657965927873e+07 -1.6009606043547580e+07 -1.6242698024514679e+07 -1.6514590812432731e+07 -1.6857519608032282e+07 -1.7262427415824369e+07 -1.7740608658777222e+07 -1.8305428222158182e+07 -1.8972751207194261e+07 -1.9761482059667420e+07 -2.0694242737625271e+07 -2.1798216397237699e+07 -2.3106200146238204e+07 -2.4657705319729663e+07 -2.6500695478884693e+07 -2.8691555075154021e+07 -3.1295158451810658e+07 -3.4385178120586842e+07 -3.8035402045933343e+07 -4.2309938359945953e+07 -4.7243206463052191e+07 -5.2816949561401464e+07 -5.8938065535286747e+07 -6.5428274169822089e+07 -7.2037225616843969e+07 -7.8476272416321516e+07 -8.4468183222368211e+07 -8.9790948586936504e+07 -9.4307950102874324e+07 -9.7973472411511913e+07 -1.0081897232491119e+08 -1.0293431688964696e+08 -1.0443435145474614e+08 -1.0544485019423068e+08 -1.0608550279548737e+08 -1.0645399027307218e+08 -1.0663147612748596e+08 -1.0668004872170268e+08 -1.0664014167426339e+08 -1.0654587488533209e+08 -1.0641840134013872e+08 -1.0627230426946598e+08 -1.0611641286207503e+08 -1.0600092590269633e+08 -1.0588215161986171e+08 -1.0576001553497532e+08 -1.0563170778442633e+08 -1.0549921651225539e+08 -1.0535992564114112e+08 -1.0521303130699088e+08 -1.0505347581654508e+08 -1.0488269615869606e+08 -1.0469754479569420e+08 -1.0449556353381659e+08 -1.0427376535251507e+08 -1.0402878511575115e+08 -1.0375689172291073e+08 -1.0345320191250484e+08 -1.0311395104741025e+08 -1.0273355527378727e+08 -1.0230649031690462e+08 -1.0182681143672174e+08 -1.0128838768161413e+08 -1.0068506972626953e+08 -1.0001111979064329e+08 -9.9262227519310266e+07 -9.8432644786156848e+07 -9.7522087218643680e+07 -9.6532661397661567e+07 -9.5472128698824644e+07 -9.4353696259309217e+07 -9.3202503774134085e+07 -9.2056939255757838e+07 -9.0973476661335871e+07 -9.0035858144357726e+07 -8.9361859230195388e+07 -8.9120503855289102e+07 -8.9554180142740086e+07 -9.1018797332307547e+07 -9.4053509777048185e+07 -9.9512478860347629e+07 -1.0882596370556785e+08 2.5321780677444983e+07 +3.3847949316438819e-01 -1.5133512661814200e+07 -1.5041621301626267e+07 -1.4885071107545633e+07 -1.4683427534845375e+07 -1.4488374436552545e+07 -1.4377023337232145e+07 -1.4383470255475570e+07 -1.4450176660607897e+07 -1.4518774817154294e+07 -1.4577687793460671e+07 -1.4634081334443064e+07 -1.4689042189834541e+07 -1.4741264314452315e+07 -1.4790387752888078e+07 -1.4836682327729017e+07 -1.4880046673809579e+07 -1.4920480849394096e+07 -1.4958414145449184e+07 -1.4994404296921153e+07 -1.5029022284037929e+07 -1.5062837986423505e+07 -1.5096226467933318e+07 -1.5127795127570692e+07 -1.5154519335088547e+07 -1.5184207621564953e+07 -1.5224408746170359e+07 -1.5271552470358908e+07 -1.5323862714333493e+07 -1.5382092027551673e+07 -1.5447577470395287e+07 -1.5521889832646746e+07 -1.5606833547877384e+07 -1.5704484806560827e+07 -1.5817238693138693e+07 -1.5947864692509970e+07 -1.6099568462888023e+07 -1.6276065870890450e+07 -1.6481667333047863e+07 -1.6721378653040595e+07 -1.7001015667392015e+07 -1.7353730481613614e+07 -1.7770203292391282e+07 -1.8262041532659274e+07 -1.8842977123285819e+07 -1.9529305530305855e+07 -2.0340435593892373e+07 -2.1299579522270586e+07 -2.2434608388810541e+07 -2.3779114765604828e+07 -2.5373511057965402e+07 -2.7266762717788566e+07 -2.9516266884543732e+07 -3.2187788043790016e+07 -3.5355588506616823e+07 -3.9093269952737823e+07 -4.3463520428751677e+07 -4.8497559462035589e+07 -5.4171946386655226e+07 -6.0386782184361994e+07 -6.6956478143109083e+07 -7.3624516142626405e+07 -8.0098681380704254e+07 -8.6101568874257207e+07 -9.1414074456290275e+07 -9.5904584310530111e+07 -9.9533162216943130e+07 -1.0233669202032377e+08 -1.0440953516063592e+08 -1.0586970763532047e+08 -1.0684499861854196e+08 -1.0745615701328945e+08 -1.0780106918824297e+08 -1.0796062678010978e+08 -1.0799623478693591e+08 -1.0794733938863488e+08 -1.0784706138114566e+08 -1.0771553968556875e+08 -1.0756653595801365e+08 -1.0740831172411244e+08 -1.0729130343783179e+08 -1.0717103767801653e+08 -1.0704739906096323e+08 -1.0691752494615872e+08 -1.0678342011424935e+08 -1.0664243645117941e+08 -1.0649374720144233e+08 -1.0633225008479153e+08 -1.0615939217661549e+08 -1.0597198761723073e+08 -1.0576754828831933e+08 -1.0554305080871964e+08 -1.0529508907918920e+08 -1.0501988901888584e+08 -1.0471249581878802e+08 -1.0436911593288110e+08 -1.0398409028778416e+08 -1.0355182736286178e+08 -1.0306631005532756e+08 -1.0252133278277074e+08 -1.0191067136701980e+08 -1.0122852053397745e+08 -1.0047050581432857e+08 -9.9630825399465591e+07 -9.8709184468527079e+07 -9.7707715247777060e+07 -9.6634273587682143e+07 -9.5502227391983911e+07 -9.4337022373812392e+07 -9.3177515988880083e+07 -9.2080858933745280e+07 -9.1131827684385881e+07 -9.0449624969204620e+07 -9.0205334301843867e+07 -9.0644290143543214e+07 -9.2126735130625919e+07 -9.5198387630041406e+07 -1.0072381044766217e+08 -1.1015066014286162e+08 2.6013514980016705e+07 +3.4344781593864626e-01 -1.5573874694827082e+07 -1.5482259563810341e+07 -1.5326208540237067e+07 -1.5125224313480215e+07 -1.4930823187862895e+07 -1.4819868215217693e+07 -1.4826341969567103e+07 -1.4892886015539909e+07 -1.4961319890392482e+07 -1.5020106521972001e+07 -1.5076390734250814e+07 -1.5131258071553269e+07 -1.5183409334033938e+07 -1.5232488808786944e+07 -1.5278768704864161e+07 -1.5322152076331416e+07 -1.5362643659863433e+07 -1.5400676949173423e+07 -1.5436814405776247e+07 -1.5471632780182363e+07 -1.5505709020535773e+07 -1.5539427510972911e+07 -1.5571413666694429e+07 -1.5598675652531527e+07 -1.5629027858212503e+07 -1.5670013131582433e+07 -1.5718087733822508e+07 -1.5771506747572048e+07 -1.5831053474768478e+07 -1.5898099948434055e+07 -1.5974257840799185e+07 -1.6061379361065904e+07 -1.6161596478568604e+07 -1.6277369335696546e+07 -1.6411543233909748e+07 -1.6567412077569658e+07 -1.6748794373315185e+07 -1.6960119815588161e+07 -1.7206532733413152e+07 -1.7494009701578375e+07 -1.7856630742465965e+07 -1.8284809534435943e+07 -1.8790469721874874e+07 -1.9387713789216585e+07 -2.0093271361943934e+07 -2.0927059594845984e+07 -2.1912884710976008e+07 -2.3079308780987497e+07 -2.4460721294606164e+07 -2.6098433870086152e+07 -2.8042406120634843e+07 -3.0351029528248839e+07 -3.3090923577379581e+07 -3.6336882008955769e+07 -4.0162231388289049e+07 -4.4628121968488745e+07 -4.9762441243773654e+07 -5.5536451685671337e+07 -6.1843408693041347e+07 -6.8490467433362633e+07 -7.5215100964711949e+07 -8.1721757549250513e+07 -8.7733099039471954e+07 -9.3033117396644279e+07 -9.7495313002591640e+07 -1.0108555564120753e+08 -1.0384612087020823e+08 -1.0587579532093492e+08 -1.0729568649180055e+08 -1.0823552462448707e+08 -1.0881705771994995e+08 -1.0913833268551588e+08 -1.0927993901112130e+08 -1.0930257936112405e+08 -1.0924470233095737e+08 -1.0913842440353657e+08 -1.0900286780676690e+08 -1.0885097147449590e+08 -1.0869042902362889e+08 -1.0857191014648074e+08 -1.0845016390483326e+08 -1.0832503404189488e+08 -1.0819360541084403e+08 -1.0805789925023013e+08 -1.0791523572498332e+08 -1.0776476490189657e+08 -1.0760134088408178e+08 -1.0742642048511805e+08 -1.0723677981354955e+08 -1.0702990105291462e+08 -1.0680272473688045e+08 -1.0655180411316165e+08 -1.0627332253592227e+08 -1.0596225374388745e+08 -1.0561477612526026e+08 -1.0522515568905945e+08 -1.0478773417830113e+08 -1.0429642267485909e+08 -1.0374494153111979e+08 -1.0312699228264749e+08 -1.0243670275909629e+08 -1.0166963443285292e+08 -1.0081993282055523e+08 -9.9887292474140793e+07 -9.8873871071002051e+07 -9.7787618221316397e+07 -9.6642061377533212e+07 -9.5462949954099342e+07 -9.4289607374686852e+07 -9.3179855555983379e+07 -9.2219498016074166e+07 -9.1529153642055809e+07 -9.1281950006147087e+07 -9.1726145443603829e+07 -9.3226283209956110e+07 -9.6334596025193468e+07 -1.0192596947640307e+08 -1.1146532529806291e+08 2.6712576862383403e+07 +3.4841613871290433e-01 -1.6020134738732906e+07 -1.5928792165377054e+07 -1.5773234003197165e+07 -1.5572900944310352e+07 -1.5379143488898423e+07 -1.5268580203929788e+07 -1.5275081227843426e+07 -1.5341465537585903e+07 -1.5409738245194143e+07 -1.5468401409285365e+07 -1.5524579106745660e+07 -1.5579355881044162e+07 -1.5631439358451745e+07 -1.5680477919850752e+07 -1.5726746358993692e+07 -1.5770152144390289e+07 -1.5810704656975176e+07 -1.5848841744218273e+07 -1.5885130637498491e+07 -1.5920153957985479e+07 -1.5954495835599901e+07 -1.5988550089433035e+07 -1.6020960236073090e+07 -1.6048767345902098e+07 -1.6079792260418832e+07 -1.6121572387472069e+07 -1.6170590508064954e+07 -1.6225133045898071e+07 -1.6286014406974848e+07 -1.6354642034513485e+07 -1.6432668987196786e+07 -1.6521995836467538e+07 -1.6624811008730784e+07 -1.6743640490772894e+07 -1.6881406305901013e+07 -1.7041491650381353e+07 -1.7227818870936587e+07 -1.7444938314130358e+07 -1.7698134405272774e+07 -1.7993546239566214e+07 -1.8366192659548581e+07 -1.8806217124472838e+07 -1.9325862632618278e+07 -1.9939605682140917e+07 -2.0664613748478174e+07 -2.1521316080286022e+07 -2.2534116486214150e+07 -2.3732270844764639e+07 -2.5150966639811859e+07 -2.6832412319936369e+07 -2.8827553210077494e+07 -3.1195755845106315e+07 -3.4004458429415941e+07 -3.7328926619627513e+07 -4.1242122334071226e+07 -4.5803540808029972e+07 -5.1037607883675687e+07 -5.6910181218612790e+07 -6.3307628833540909e+07 -7.0029908940632448e+07 -7.6808649414646521e+07 -8.3345191906953484e+07 -8.9362501362083063e+07 -9.4647850109508649e+07 -9.9079955589836419e+07 -1.0263051525164974e+08 -1.0534715804021290e+08 -1.0733302556577069e+08 -1.0871223805820730e+08 -1.0961639399303982e+08 -1.1016818166891481e+08 -1.1046576494564614e+08 -1.1058940188480884e+08 -1.1059907460738653e+08 -1.1053222453372976e+08 -1.1041995903416012e+08 -1.1028038132100469e+08 -1.1012560667962001e+08 -1.0996276071882752e+08 -1.0984274201562959e+08 -1.0971952630166517e+08 -1.0959291648710050e+08 -1.0945994519353828e+08 -1.0932264994071117e+08 -1.0917831948834257e+08 -1.0902608044001821e+08 -1.0886074425208855e+08 -1.0868377712820397e+08 -1.0849191743553449e+08 -1.0828261788611206e+08 -1.0805278320384096e+08 -1.0779892629365534e+08 -1.0751718836027321e+08 -1.0720247178582495e+08 -1.0685092773535961e+08 -1.0645674760283817e+08 -1.0601420690434521e+08 -1.0551714545470951e+08 -1.0495921010625236e+08 -1.0433402867553137e+08 -1.0363566269372353e+08 -1.0285960963119915e+08 -1.0199996333703718e+08 -1.0105640755738011e+08 -1.0003112522668879e+08 -9.8932158998905748e+07 -9.7773194657483682e+07 -9.6580282999722034e+07 -9.5393209940908730e+07 -9.4270463096825019e+07 -9.3298865743849054e+07 -9.2600441878498018e+07 -9.2350347607081801e+07 -9.2799742665296867e+07 -9.4317438137232751e+07 -9.7462131414808348e+07 -1.0311895219090702e+08 -1.1276995505991879e+08 2.7418889289465375e+07 +3.5338446148716240e-01 -1.6472271015159404e+07 -1.6381197132818647e+07 -1.6226125886248488e+07 -1.6026436057254232e+07 -1.5833314435329877e+07 -1.5723138335529661e+07 -1.5729666809108272e+07 -1.5795894263729351e+07 -1.5864008860837469e+07 -1.5922551072950998e+07 -1.5978625157996072e+07 -1.6033314314723264e+07 -1.6085332903309818e+07 -1.6134333594809446e+07 -1.6180593791711453e+07 -1.6224025261480708e+07 -1.6264642214830283e+07 -1.6302886845204836e+07 -1.6339331255303772e+07 -1.6374564020589299e+07 -1.6409176581084710e+07 -1.6443572293583525e+07 -1.6476412867571861e+07 -1.6504772383917855e+07 -1.6536478726004986e+07 -1.6579064321134787e+07 -1.6629038495200532e+07 -1.6684719190035431e+07 -1.6746952265941301e+07 -1.6817181010282975e+07 -1.6897100367500380e+07 -1.6988659852833416e+07 -1.7094105021661405e+07 -1.7216028484610632e+07 -1.7357429883405916e+07 -1.7521782741841312e+07 -1.7713114434045315e+07 -1.7936097317443062e+07 -1.8196157465964414e+07 -1.8499598253938533e+07 -1.8882388137417357e+07 -1.9334396665562611e+07 -1.9868189273345374e+07 -2.0498619844151244e+07 -2.1243297289163321e+07 -2.2123166587988093e+07 -2.3163232510553285e+07 -2.4393447283267993e+07 -2.5849797083190780e+07 -2.7575384282450441e+07 -2.9622130752994757e+07 -3.2050357862322357e+07 -3.4928285149741784e+07 -3.8331589583624028e+07 -4.2332778284362406e+07 -4.6989574837220229e+07 -5.2322816448578410e+07 -5.8292853067679346e+07 -6.4779130312694922e+07 -7.1574475133446828e+07 -7.8404837720336929e+07 -8.4968683088355288e+07 -9.0989511207416907e+07 -9.6258052479046479e+07 -1.0065833771121301e+08 -1.0416790870034762e+08 -1.0683970663878004e+08 -1.0878115701684883e+08 -1.1011931445917584e+08 -1.1098757394970886e+08 -1.1150950658073528e+08 -1.1178335077920233e+08 -1.1188900486448886e+08 -1.1188571293774931e+08 -1.1180990018666002e+08 -1.1169166045975100e+08 -1.1154807592380436e+08 -1.1139043750025764e+08 -1.1122530282956651e+08 -1.1110379509284385e+08 -1.1097912092952183e+08 -1.1085104246553837e+08 -1.1071654036919275e+08 -1.1057766826571716e+08 -1.1043168382631493e+08 -1.1027768990648231e+08 -1.1011045628542808e+08 -1.0993145820900437e+08 -1.0973739659307393e+08 -1.0952569490528081e+08 -1.0929322233516443e+08 -1.0903645175525045e+08 -1.0875148263662219e+08 -1.0843314610086691e+08 -1.0807756693201233e+08 -1.0767886221208917e+08 -1.0723124173988740e+08 -1.0672847461162737e+08 -1.0616413474496585e+08 -1.0553177680466841e+08 -1.0482539662173434e+08 -1.0404042772161061e+08 -1.0317091329184049e+08 -1.0221652609504801e+08 -1.0117947412830602e+08 -1.0006789237338461e+08 -9.8895623726240531e+07 -9.7689018048029691e+07 -9.6488320267440274e+07 -9.5352678176764593e+07 -9.4369927522698507e+07 -9.3663486358592033e+07 -9.3410523793467224e+07 -9.3865078481368691e+07 -9.5400196530727565e+07 -9.8580990303891107e+07 -1.0430275489160021e+08 -1.1406454537883450e+08 2.8132375545885175e+07 +3.5835278426142048e-01 -1.6930261380160354e+07 -1.6839452856512118e+07 -1.6684862518482540e+07 -1.6485807832463684e+07 -1.6293314659947608e+07 -1.6183521212807329e+07 -1.6190077262297180e+07 -1.6256150739471855e+07 -1.6324110049623689e+07 -1.6382534041619135e+07 -1.6438507293014703e+07 -1.6493111671980446e+07 -1.6545068267449854e+07 -1.6594034076601569e+07 -1.6640289161144502e+07 -1.6683749531782744e+07 -1.6724434387101674e+07 -1.6762790257949013e+07 -1.6799394217761304e+07 -1.6834840873198800e+07 -1.6869729107279301e+07 -1.6904471916385688e+07 -1.6937749295474254e+07 -1.6966668436148576e+07 -1.6999064853796382e+07 -1.7042466440946210e+07 -1.7093409097637206e+07 -1.7150242460766841e+07 -1.7213844192499876e+07 -1.7285693855196103e+07 -1.7367528773553103e+07 -1.7461347982950222e+07 -1.7569454833447415e+07 -1.7694509331699628e+07 -1.7839589625789043e+07 -1.8008260592126228e+07 -1.8204655807008289e+07 -1.8433570981752541e+07 -1.8700575372268010e+07 -1.9012138367197592e+07 -1.9405188718198996e+07 -1.9869318383338753e+07 -2.0417418256952539e+07 -2.1064722899880826e+07 -2.1829286139016554e+07 -2.2732572178958207e+07 -2.3800189930496525e+07 -2.5062790236419518e+07 -2.6557158288094517e+07 -2.8327286951607462e+07 -3.0426064771509521e+07 -3.2914746810992278e+07 -3.5862295483155109e+07 -3.9344737428376809e+07 -4.3434034284366071e+07 -4.8186022049645357e+07 -5.3617825034042962e+07 -5.9684187651718929e+07 -6.6257604742315769e+07 -7.3123843956269115e+07 -8.0003348843005255e+07 -8.6591937154164255e+07 -9.2613871399656743e+07 -9.7863511300408557e+07 -1.0223029097824651e+08 -1.0569760850245091e+08 -1.0832367353845863e+08 -1.1022012358604902e+08 -1.1151686981266408e+08 -1.1234903309895511e+08 -1.1284101110338375e+08 -1.1309107560370262e+08 -1.1317873780298965e+08 -1.1316248701237452e+08 -1.1307772364060438e+08 -1.1295352397937402e+08 -1.1280594739825405e+08 -1.1264545993984163e+08 -1.1247805144770423e+08 -1.1235506549603546e+08 -1.1222894391970854e+08 -1.1209940811584666e+08 -1.1196338708191216e+08 -1.1182295037445377e+08 -1.1167532489316824e+08 -1.1151958946141590e+08 -1.1135047314998315e+08 -1.1116945989932923e+08 -1.1097321346496691e+08 -1.1075912829655640e+08 -1.1052403832523860e+08 -1.1026437670134330e+08 -1.0997620157794076e+08 -1.0965427291341823e+08 -1.0929468995195006e+08 -1.0889149576745577e+08 -1.0843883495120640e+08 -1.0793040642923380e+08 -1.0735971175048497e+08 -1.0672023299559762e+08 -1.0600590089327139e+08 -1.0521208508156925e+08 -1.0433277909275655e+08 -1.0336764452814165e+08 -1.0231891425319760e+08 -1.0119481486074139e+08 -1.0000934514048804e+08 -9.8789151697760567e+07 -9.7574934994694963e+07 -9.6426497475899413e+07 -9.5432680067027226e+07 -9.4718283821316779e+07 -9.4462475312989324e+07 -9.4922149623404607e+07 -9.6474555068481982e+07 -9.9691169259685010e+07 -1.0547737394459228e+08 -1.1534909227695893e+08 2.8852959235691853e+07 +3.6332110703567855e-01 -1.7394083313612793e+07 -1.7303536907598365e+07 -1.7149421320181064e+07 -1.6950994762705762e+07 -1.6759122246143639e+07 -1.6649707051807201e+07 -1.6656291025157064e+07 -1.6722213220310770e+07 -1.6790020086094674e+07 -1.6848328662551306e+07 -1.6904203544856068e+07 -1.6958725962355755e+07 -1.7010623432318751e+07 -1.7059557279530972e+07 -1.7105810298867479e+07 -1.7149302790524170e+07 -1.7190058935355119e+07 -1.7228529686296955e+07 -1.7265297180736180e+07 -1.7300962127277739e+07 -1.7336130968865260e+07 -1.7371226456271831e+07 -1.7404946957142062e+07 -1.7434432874910396e+07 -1.7467527945284408e+07 -1.7511755957954884e+07 -1.7563679419791359e+07 -1.7621679840538826e+07 -1.7686667028298039e+07 -1.7760157248224635e+07 -1.7843930694968246e+07 -1.7940036495228246e+07 -1.8050836453193210e+07 -1.8179058736356355e+07 -1.8327860878402844e+07 -1.8500900122849084e+07 -1.8702417410020810e+07 -1.8937333132429250e+07 -1.9211361242185429e+07 -1.9531138853567597e+07 -1.9934565583446439e+07 -2.0410952128118504e+07 -2.0973517803029492e+07 -2.1637881058851164e+07 -2.2422544011562388e+07 -2.3349493440786894e+07 -2.4444945380459357e+07 -2.5740251285830453e+07 -2.7272995305560563e+07 -2.9088056848617226e+07 -3.1239280554045614e+07 -3.3788833141512379e+07 -3.6806380390893668e+07 -4.0368235993219450e+07 -4.4545724967221007e+07 -4.9392680583584793e+07 -5.4922392799564995e+07 -6.1083907738636136e+07 -6.7742747608148068e+07 -7.4677698737873271e+07 -8.1603872319294274e+07 -8.8214667375092402e+07 -9.4235331971394002e+07 -9.9464020020877242e+07 -1.0379565273265411e+08 -1.0721949182683387e+08 -1.0979896920677437e+08 -1.1164986184742655e+08 -1.1290486013952421e+08 -1.1370074136367093e+08 -1.1416267477408856e+08 -1.1438892542336552e+08 -1.1445859093423249e+08 -1.1442938973879471e+08 -1.1433568941209032e+08 -1.1420554501148655e+08 -1.1405399162306067e+08 -1.1389067008638202e+08 -1.1372100274553947e+08 -1.1359654942283155e+08 -1.1346899148218442e+08 -1.1333800965555918e+08 -1.1320048155486181e+08 -1.1305849249501924e+08 -1.1290923892189422e+08 -1.1275177534336817e+08 -1.1258079108990221e+08 -1.1239777844978397e+08 -1.1219936430819812e+08 -1.1198291432415716e+08 -1.1174522744585109e+08 -1.1148269741249610e+08 -1.1119134147471590e+08 -1.1086584852486585e+08 -1.1050229310883771e+08 -1.1009464459620370e+08 -1.0963698288065721e+08 -1.0912293726705931e+08 -1.0854593750181827e+08 -1.0789939364859270e+08 -1.0717717193253702e+08 -1.0637457816248082e+08 -1.0548555722098087e+08 -1.0450975937046351e+08 -1.0344944215012410e+08 -1.0231292304770507e+08 -1.0111435552723195e+08 -9.9880680616847157e+07 -9.8653050831518903e+07 -9.7491917742099479e+07 -9.6487120158261418e+07 -9.5764831072112933e+07 -9.5506198979653031e+07 -9.5970952889868662e+07 -9.7540510496521369e+07 -1.0079266491924345e+08 -1.0664280578998543e+08 -1.1662359185788657e+08 2.9580564282081906e+07 +3.6828942980993662e-01 -1.7863713984115440e+07 -1.7773426522091709e+07 -1.7619780377360545e+07 -1.7421973826906137e+07 -1.7230714877835684e+07 -1.7121674026101243e+07 -1.7128286129260819e+07 -1.7194059607735083e+07 -1.7261716916300990e+07 -1.7319912631782867e+07 -1.7375691835390031e+07 -1.7430134875504397e+07 -1.7481976069684461e+07 -1.7530880829406083e+07 -1.7577134783699255e+07 -1.7620662556355625e+07 -1.7661493335876033e+07 -1.7700082546666976e+07 -1.7737017503218919e+07 -1.7772905099196412e+07 -1.7808359426514812e+07 -1.7843813118262034e+07 -1.7877982994196698e+07 -1.7908042777788211e+07 -1.7941845006321400e+07 -1.7986909787561964e+07 -1.8039826269799881e+07 -1.8099008015128303e+07 -1.8165397317432508e+07 -1.8240547569406386e+07 -1.8326282320742726e+07 -1.8424701355284426e+07 -1.8538225584594678e+07 -1.8669652094288219e+07 -1.8822218674213130e+07 -1.8999675938607056e+07 -1.9206373340757493e+07 -1.9447357265739594e+07 -1.9728487856689718e+07 -2.0056571640845988e+07 -2.0470489556211151e+07 -2.0959267376945838e+07 -2.1536455740184225e+07 -2.2218060118089236e+07 -2.3023034181743100e+07 -2.3973890490823407e+07 -2.5097454986706499e+07 -2.6425781459593154e+07 -2.7997252580286797e+07 -2.9857629830085482e+07 -3.2061702666366991e+07 -3.4672526539072417e+07 -3.7760430072173126e+07 -4.1401950458359241e+07 -4.5667684590340100e+07 -5.0609348762188457e+07 -5.6236280002466701e+07 -6.2491738456800885e+07 -6.9234258238639116e+07 -7.6235728101039767e+07 -8.3206104107578501e+07 -8.9836594025159940e+07 -9.5853649923465475e+07 -1.0105937849330230e+08 -1.0535426581651862e+08 -1.0873344029834546e+08 -1.1126550754760022e+08 -1.1307031091800167e+08 -1.1428324327707659e+08 -1.1504266992779242e+08 -1.1547447798402029e+08 -1.1567688680978593e+08 -1.1572855486451963e+08 -1.1568641427070627e+08 -1.1558379218714429e+08 -1.1544771910042575e+08 -1.1529220458007696e+08 -1.1512606412147927e+08 -1.1495415298481981e+08 -1.1482824315886438e+08 -1.1469925991500460e+08 -1.1456684338952500e+08 -1.1442782009813564e+08 -1.1428429094246119e+08 -1.1413342223238017e+08 -1.1397424387743485e+08 -1.1380140643594435e+08 -1.1361641019688156e+08 -1.1341584546588929e+08 -1.1319704933816791e+08 -1.1295678605510689e+08 -1.1269141025531934e+08 -1.1239689870273410e+08 -1.1206786932226357e+08 -1.1170037280123013e+08 -1.1128830511025892e+08 -1.1082568195518719e+08 -1.1030606356896505e+08 -1.0972280846129957e+08 -1.0906925524722534e+08 -1.0833920624667603e+08 -1.0752790349785513e+08 -1.0662924423883772e+08 -1.0564286721613897e+08 -1.0457105444801563e+08 -1.0342221360034655e+08 -1.0221065159128693e+08 -1.0096360155034937e+08 -9.9722664562802508e+07 -9.8548935798425332e+07 -9.7533244652075052e+07 -9.6803124990222931e+07 -9.6541691680908367e+07 -9.7011485153297588e+07 -9.8598059635901675e+07 -1.0188547399736764e+08 -1.0779904695029935e+08 -1.1788804031515080e+08 3.0315114927116085e+07 +3.7325775258419469e-01 -1.8339130764440369e+07 -1.8249098784821823e+07 -1.8095916383663401e+07 -1.7898723000766505e+07 -1.7708070620432042e+07 -1.7599399688704550e+07 -1.7606040499540985e+07 -1.7671667666846253e+07 -1.7739178218163867e+07 -1.7797263321109518e+07 -1.7852949485156786e+07 -1.7907315901306450e+07 -1.7959103550494842e+07 -1.8007982074152373e+07 -1.8054239880732141e+07 -1.8097806049754698e+07 -1.8138714758256480e+07 -1.8177425966575034e+07 -1.8214532254959624e+07 -1.8250646808667663e+07 -1.8286391446644250e+07 -1.8322208813302904e+07 -1.8356834254158109e+07 -1.8387474930018894e+07 -1.8421992748988640e+07 -1.8467904551359210e+07 -1.8521826161431998e+07 -1.8582203375246868e+07 -1.8650011308120042e+07 -1.8726840901563674e+07 -1.8814559540841106e+07 -1.8915318227487985e+07 -1.9031597627600316e+07 -1.9166264494262230e+07 -1.9322637735432647e+07 -1.9504562328656990e+07 -1.9716497376028411e+07 -1.9963616550569318e+07 -2.0251927661524668e+07 -2.0588408312281892e+07 -2.1012931102937154e+07 -2.1514233235762980e+07 -2.2106199508287270e+07 -2.2805225464599326e+07 -2.3630719488759361e+07 -2.4605722979649678e+07 -2.5757674371117551e+07 -2.7119331237081509e+07 -2.8729873956928723e+07 -3.0635941096103277e+07 -3.2893254962862954e+07 -3.5565735939091563e+07 -3.8724333985536069e+07 -4.2445745373497970e+07 -4.6799747071237519e+07 -5.1835825132087603e+07 -5.7559248029913269e+07 -6.3907407304038994e+07 -7.0731839772828475e+07 -7.7797625874597266e+07 -8.4809746438800320e+07 -9.1457444181483671e+07 -9.7468588995550692e+07 -1.0264939274188486e+08 -1.0690597835432494e+08 -1.1023933981096433e+08 -1.1272320575147043e+08 -1.1448141234385630e+08 -1.1565197879934503e+08 -1.1637479118240668e+08 -1.1677640194530198e+08 -1.1695494688325688e+08 -1.1698862056508529e+08 -1.1693355400772712e+08 -1.1682202682418413e+08 -1.1668004192163625e+08 -1.1652058236196287e+08 -1.1635163832731007e+08 -1.1617749852458288e+08 -1.1605014308623539e+08 -1.1591974561153482e+08 -1.1578590571823105e+08 -1.1564539911735402e+08 -1.1550034212690757e+08 -1.1534787123948051e+08 -1.1518699148389859e+08 -1.1501231561389223e+08 -1.1482535157204676e+08 -1.1462265337570250e+08 -1.1440152978325409e+08 -1.1415871060507117e+08 -1.1389051169025989e+08 -1.1359286973143567e+08 -1.1326033178543687e+08 -1.1288892552099647e+08 -1.1247247381412545e+08 -1.1200492869390616e+08 -1.1147978187019689e+08 -1.1089032118267897e+08 -1.1022981436578143e+08 -1.0949200043262745e+08 -1.0867205771040057e+08 -1.0776383679752105e+08 -1.0676696474710119e+08 -1.0568374786251542e+08 -1.0452268327013832e+08 -1.0329823012240836e+08 -1.0203791132735704e+08 -1.0078377305650872e+08 -9.9597548549882457e+07 -9.8571050485419869e+07 -9.7833162535455093e+07 -9.7568950384587035e+07 -9.8043743366439402e+07 -9.9647199389736265e+07 -1.0296959329374377e+08 -1.0894609403775561e+08 -1.1914243394051386e+08 3.1056535731432710e+07 +3.7822607535845276e-01 -1.8820309993211269e+07 -1.8730530526095141e+07 -1.8577806720304579e+07 -1.8381219216363471e+07 -1.8191166324904438e+07 -1.8082861634789951e+07 -1.8089531169484254e+07 -1.8155014529718835e+07 -1.8222381010430250e+07 -1.8280358052742712e+07 -1.8335953792584769e+07 -1.8390246135379944e+07 -1.8441982973272871e+07 -1.8490838002950005e+07 -1.8537102560683936e+07 -1.8580710197568182e+07 -1.8621700065356065e+07 -1.8660536769992586e+07 -1.8697818216132402e+07 -1.8734163980675496e+07 -1.8770203702427097e+07 -1.8806390158370949e+07 -1.8841477292290058e+07 -1.8872705826076977e+07 -1.8907947593449615e+07 -1.8954716578738824e+07 -1.9009655315873861e+07 -1.9071242018218689e+07 -1.9140484954326261e+07 -1.9219013031757209e+07 -1.9308737947746057e+07 -1.9411862476574853e+07 -1.9530927679870687e+07 -1.9668870719672229e+07 -1.9829092475148674e+07 -2.0015533268558051e+07 -2.0232762973458350e+07 -2.0486083830117609e+07 -2.0781652768985093e+07 -2.1126620108438220e+07 -2.1561860335413754e+07 -2.2075818441515226e+07 -2.2682716160821598e+07 -2.3399342078001048e+07 -2.4245562338916272e+07 -2.5244950094253350e+07 -2.6425558655397523e+07 -2.7820850553963527e+07 -2.9470802686292969e+07 -3.1422925198474761e+07 -3.3733860597572170e+07 -3.6468369542583846e+07 -3.9697980870005302e+07 -4.3499484685912527e+07 -4.7941746022004753e+07 -5.3071908500851162e+07 -5.8891059429159954e+07 -6.5330644156093121e+07 -7.2235199127673820e+07 -7.9363091005653292e+07 -8.6414507671707526e+07 -9.3076951531734869e+07 -9.9079919445878342e+07 -1.0423387473789805e+08 -1.0845064354619759e+08 -1.1173708035046297e+08 -1.1417198415389819e+08 -1.1588310999497621e+08 -1.1701102794165890e+08 -1.1769707867573947e+08 -1.1806842865987246e+08 -1.1822309329620197e+08 -1.1823877936527641e+08 -1.1817080259446378e+08 -1.1805038835776098e+08 -1.1790250928770348e+08 -1.1773912117799312e+08 -1.1756738909446858e+08 -1.1739103582805659e+08 -1.1726224569004174e+08 -1.1713044506810719e+08 -1.1699519314435549e+08 -1.1685321512028322e+08 -1.1670664256103070e+08 -1.1655258246013707e+08 -1.1639001468496986e+08 -1.1621351515107463e+08 -1.1602459910844250e+08 -1.1581978457692382e+08 -1.1559635220524973e+08 -1.1535099764888185e+08 -1.1507999827847987e+08 -1.1477925113105911e+08 -1.1444323249512766e+08 -1.1406794785960910e+08 -1.1364714731207615e+08 -1.1317471971505350e+08 -1.1264408880497721e+08 -1.1204847231793380e+08 -1.1138106767624396e+08 -1.1063555118454704e+08 -1.0980703751946099e+08 -1.0888933164347000e+08 -1.0788204874028209e+08 -1.0678751920306933e+08 -1.0561432890170342e+08 -1.0437708800209589e+08 -1.0310360686725968e+08 -1.0183637326985234e+08 -1.0063775298958129e+08 -9.9600534682411969e+07 -9.8854940754209369e+07 -9.8587972145043164e+07 -9.9067724569443136e+07 -1.0068792674955729e+08 -1.0404501969892578e+08 -1.1008394376111452e+08 -1.2038676913179968e+08 3.1804751573957242e+07 +3.8319439813271083e-01 -1.9307228437278360e+07 -1.9217698171943024e+07 -1.9065427406755902e+07 -1.8869439168703683e+07 -1.8679979048237912e+07 -1.8572036691405717e+07 -1.8578735079412624e+07 -1.8644077482658077e+07 -1.8711302409436099e+07 -1.8769173881733708e+07 -1.8824681461718101e+07 -1.8878902358566906e+07 -1.8930590984971624e+07 -1.8979425293986768e+07 -1.9025699514601532e+07 -1.9069351616327915e+07 -1.9110425838998538e+07 -1.9149391487289708e+07 -1.9186851872496024e+07 -1.9223433049445082e+07 -1.9259772577008907e+07 -1.9296333478463162e+07 -1.9331888373578288e+07 -1.9363711670998517e+07 -1.9399685669499543e+07 -1.9447321908635326e+07 -1.9503289663464196e+07 -1.9566099749495685e+07 -1.9636793917395946e+07 -1.9717039452990524e+07 -1.9808792838108566e+07 -1.9914309169228218e+07 -2.0036190538508102e+07 -2.0177445250130482e+07 -2.0341556998892773e+07 -2.0532562421786781e+07 -2.0755143273226030e+07 -2.1014731623647466e+07 -2.1317634959754635e+07 -2.1671177929066587e+07 -2.2117247012879189e+07 -2.2643991364236917e+07 -2.3265972367239308e+07 -2.4000374532993983e+07 -2.4867524708671141e+07 -2.5891530561533473e+07 -2.7101062465011396e+07 -2.8530288807052985e+07 -3.0219981431617342e+07 -3.2218516049025934e+07 -3.4583442035352297e+07 -3.7380334831499577e+07 -4.0681258766169108e+07 -4.4563031768475585e+07 -4.9093514783903800e+07 -5.4317397973470435e+07 -6.0231477936855957e+07 -6.6761181272616677e+07 -7.3744046965063304e+07 -8.0931827474628583e+07 -8.8020102152162626e+07 -9.4694856188576981e+07 -1.0068741784088047e+08 -1.0581264218721369e+08 -1.0998811947109318e+08 -1.1322655582758860e+08 -1.1561176610243239e+08 -1.1727534996413213e+08 -1.1836035352964967e+08 -1.1900950706582120e+08 -1.1935054089007011e+08 -1.1948131421708891e+08 -1.1947902294491957e+08 -1.1939815391914831e+08 -1.1926887200118801e+08 -1.1911511715328805e+08 -1.1894781736103977e+08 -1.1877331292772284e+08 -1.1859476146981592e+08 -1.1846454756581014e+08 -1.1833135489094500e+08 -1.1819470228056395e+08 -1.1805126472453351e+08 -1.1790318886648387e+08 -1.1774755252058017e+08 -1.1758331011177863e+08 -1.1740500168373996e+08 -1.1721414944773942e+08 -1.1700723571706010e+08 -1.1678151325815855e+08 -1.1653364384776831e+08 -1.1625986668905307e+08 -1.1595603957919635e+08 -1.1561656813866645e+08 -1.1523743651566148e+08 -1.1481232231486014e+08 -1.1433505174306701e+08 -1.1379898111299810e+08 -1.1319725862396157e+08 -1.1252301195465399e+08 -1.1176985530016285e+08 -1.1093283974683847e+08 -1.1000572562523779e+08 -1.0898811607315443e+08 -1.0788236537893505e+08 -1.0669714743831609e+08 -1.0544722220927930e+08 -1.0416068518594950e+08 -1.0288046225514616e+08 -1.0166954620521154e+08 -1.0062169436059777e+08 -9.9868456785662368e+07 -9.9598754108915523e+07 -1.0008342589473729e+08 -1.0172023880089529e+08 -1.0511175020139065e+08 -1.1121259293233936e+08 -1.2162104239950410e+08 3.2559687651608005e+07 +3.8816272090696891e-01 -1.9799862086532634e+07 -1.9710578185343120e+07 -1.9558755535638522e+07 -1.9363359637910333e+07 -1.9174485735710651e+07 -1.9066901873772584e+07 -1.9073629541858729e+07 -1.9138833030850343e+07 -1.9205918945553530e+07 -1.9263687171797220e+07 -1.9319109086329844e+07 -1.9373261132631265e+07 -1.9424904126201630e+07 -1.9473720428886373e+07 -1.9520007113839842e+07 -1.9563706627691418e+07 -1.9604868372612987e+07 -1.9643966367144633e+07 -1.9681609418469898e+07 -1.9718430161167208e+07 -1.9755074166516706e+07 -1.9792014810268834e+07 -1.9828043474894669e+07 -1.9860468381467521e+07 -1.9897182818313882e+07 -1.9945696291061163e+07 -2.0002704845430162e+07 -2.0066752084404700e+07 -2.0138913567614723e+07 -2.0220895365698196e+07 -2.0314699214198291e+07 -2.0422633075634833e+07 -2.0547360701581679e+07 -2.0691962263126589e+07 -2.0860005106342737e+07 -2.1055623141466394e+07 -2.1283611099688869e+07 -2.1549532128241356e+07 -2.1859845684647385e+07 -2.2222052335013654e+07 -2.2679060543930139e+07 -2.3218720009290982e+07 -2.3855934415153261e+07 -2.4608287002077498e+07 -2.5496568147378970e+07 -2.6545422651676986e+07 -2.7784139933191817e+07 -2.9247594859320629e+07 -3.0977352274975091e+07 -3.3022646927874077e+07 -3.5441921063129149e+07 -3.8301538584190473e+07 -4.1674055037019506e+07 -4.5636249447002552e+07 -5.0254886460450679e+07 -5.5572092987373389e+07 -6.1580268506316654e+07 -6.8198753302736267e+07 -7.5258097658367246e+07 -8.2503544210520133e+07 -8.9626250076331615e+07 -9.6310904510987550e+07 -1.0229086685283642e+08 -1.0738551832596880e+08 -1.1151826890016302e+08 -1.1470766391875920e+08 -1.1704247783036873e+08 -1.1865808047323690e+08 -1.1969991991243915e+08 -1.2031205207629763e+08 -1.2062272213162741e+08 -1.2072959831536931e+08 -1.2070934332856254e+08 -1.2061560211377829e+08 -1.2047747314938416e+08 -1.2031786161977050e+08 -1.2014666737277126e+08 -1.1996940645325167e+08 -1.1978867214210087e+08 -1.1965704542572984e+08 -1.1952247180249171e+08 -1.1938442985523209e+08 -1.1923954466303647e+08 -1.1908997778073299e+08 -1.1893277816261543e+08 -1.1876687451082085e+08 -1.1858677196333271e+08 -1.1839399934654479e+08 -1.1818500355846424e+08 -1.1795700971054427e+08 -1.1770664597712661e+08 -1.1743011370484270e+08 -1.1712323186711888e+08 -1.1678033551735155e+08 -1.1639738830060066e+08 -1.1596799564547400e+08 -1.1548592161435266e+08 -1.1494445564542690e+08 -1.1433667696869980e+08 -1.1365564408763894e+08 -1.1289490968655536e+08 -1.1204946132337368e+08 -1.1111301569927905e+08 -1.1008516373028682e+08 -1.0896828340527728e+08 -1.0777113592782402e+08 -1.0650862982673806e+08 -1.0520914340157026e+08 -1.0391603716594920e+08 -1.0269292538371573e+08 -1.0163452673601849e+08 -1.0087370786654158e+08 -1.0060129352043670e+08 -1.0109084457335627e+08 -1.0274413272929135e+08 -1.0616978189244820e+08 -1.1233203847259106e+08 -1.2284525037358321e+08 3.3321269478998490e+07 +3.9313104368122698e-01 -2.0298186892521091e+07 -2.0209146393782057e+07 -2.0057766624601431e+07 -1.9862956597980224e+07 -1.9674662431128304e+07 -1.9567433364184815e+07 -1.9574190385299671e+07 -1.9639257646671001e+07 -1.9706207130714551e+07 -1.9763874480378240e+07 -1.9819213011205409e+07 -1.9873298747050654e+07 -1.9924898623228658e+07 -1.9973699531038631e+07 -2.0020001439078130e+07 -2.0063751288475953e+07 -2.0105003666287426e+07 -2.0144237368345238e+07 -2.0182066761764988e+07 -2.0219131175694913e+07 -2.0256084281323090e+07 -2.0293409905578282e+07 -2.0329918287427325e+07 -2.0362951587584447e+07 -2.0400414594038796e+07 -2.0449815188571345e+07 -2.0507876215398502e+07 -2.0573174249618251e+07 -2.0646818985775277e+07 -2.0730555679325011e+07 -2.0826431785631239e+07 -2.0936808671161201e+07 -2.1064412369694307e+07 -2.1212395635644726e+07 -2.1384410292927910e+07 -2.1584688471990675e+07 -2.1818138963164669e+07 -2.2090457220557328e+07 -2.2408256066508632e+07 -2.2779213550131466e+07 -2.3247269988552522e+07 -2.3799972019499000e+07 -2.4452568212932564e+07 -2.5223043258119203e+07 -2.6132653780479051e+07 -2.7206584181558944e+07 -2.8474744705042478e+07 -2.9972717044883382e+07 -3.1742856723456699e+07 -3.3835250491705306e+07 -3.6309218801071532e+07 -3.9231886890462242e+07 -4.2676256388755754e+07 -4.6719000027418785e+07 -5.1425693950292565e+07 -5.6835793346547902e+07 -6.2937197333639368e+07 -6.9643097288979113e+07 -7.6777069258542359e+07 -8.4077955008534521e+07 -9.1232677358040616e+07 -9.7924848931618065e+07 -1.0389005506656449e+08 -1.0895233172696544e+08 -1.1304095911925350e+08 -1.1618030591637982e+08 -1.1846404833755907e+08 -1.2003125178412656e+08 -1.2102969290021831e+08 -1.2160469045417047e+08 -1.2188495658789256e+08 -1.2196793474748772e+08 -1.2192973287906975e+08 -1.2182314155287562e+08 -1.2167618738183242e+08 -1.2151073893981656e+08 -1.2133566780905615e+08 -1.2115566642337033e+08 -1.2097276466077870e+08 -1.2083973610462333e+08 -1.2070379264721905e+08 -1.2056437271882547e+08 -1.2041805179068506e+08 -1.2026700616272232e+08 -1.2010825624894182e+08 -1.1994070474988413e+08 -1.1975882286232944e+08 -1.1956414568258502e+08 -1.1935308498429979e+08 -1.1912283845157623e+08 -1.1887000093250872e+08 -1.1859073622872841e+08 -1.1828082490556407e+08 -1.1793453155116323e+08 -1.1754780014452724e+08 -1.1711416424570283e+08 -1.1662732628307900e+08 -1.1608050937096880e+08 -1.1546672433660945e+08 -1.1477896107775879e+08 -1.1401071136642626e+08 -1.1315689929409541e+08 -1.1221119893534435e+08 -1.1117318880850205e+08 -1.1004527040838760e+08 -1.0883629152816851e+08 -1.0756130804529135e+08 -1.0624897873949310e+08 -1.0494309526161803e+08 -1.0370788781721921e+08 -1.0263902912853564e+08 -1.0187069133685036e+08 -1.0159558772645910e+08 -1.0208997793903269e+08 -1.0375960582498218e+08 -1.0721911197170825e+08 -1.1344227741755676e+08 -1.2405938980979036e+08 3.4089422888135619e+07 +3.9809936645548505e-01 -2.0802178019122321e+07 -2.0713378378146097e+07 -2.0562436649491407e+07 -2.0368206050138757e+07 -2.0180485280020464e+07 -2.0073607410271581e+07 -2.0080394240799434e+07 -2.0145327319405813e+07 -2.0212142894796420e+07 -2.0269711700484052e+07 -2.0324969306365333e+07 -2.0378990995209809e+07 -2.0430550336958852e+07 -2.0479338462624785e+07 -2.0525658280484028e+07 -2.0569461374460075e+07 -2.0610807433605757e+07 -2.0650180157035246e+07 -2.0688199526920725e+07 -2.0725511668035809e+07 -2.0762778446701154e+07 -2.0800494233499933e+07 -2.0837488218781333e+07 -2.0871136634660166e+07 -2.0909356265712734e+07 -2.0959653777877349e+07 -2.1018778840926588e+07 -2.1085341184870578e+07 -2.1160484964637108e+07 -2.1245995013872713e+07 -2.1343964970826145e+07 -2.1456810137868617e+07 -2.1587319447714265e+07 -2.1738718945753686e+07 -2.1914745751479615e+07 -2.2119731150735985e+07 -2.2358699061627638e+07 -2.2637478458623223e+07 -2.2962836902034733e+07 -2.3342631463209111e+07 -2.3821844060285918e+07 -2.4387714677349791e+07 -2.5055839291930556e+07 -2.5844606676978819e+07 -2.6775742312276069e+07 -2.7874972518207122e+07 -2.9172829941742580e+07 -3.0705603174078532e+07 -3.2516435715667728e+07 -3.4656258782172561e+07 -3.7185255713713810e+07 -4.0171285167019732e+07 -4.3687748891240761e+07 -4.7811145322439007e+07 -5.2605769979110084e+07 -5.8108299254578069e+07 -6.4302031882628135e+07 -7.1093952669835523e+07 -7.8300683459984362e+07 -8.5654778448591977e+07 -9.2839115499901623e+07 -9.9536447790240616e+07 -1.0548477679352304e+08 -1.1051291611430380e+08 -1.1455606175990097e+08 -1.1764438658567040e+08 -1.1987640927780502e+08 -1.2139481611450915e+08 -1.2234963970456538e+08 -1.2288739993110691e+08 -1.2313722914545263e+08 -1.2319631314377187e+08 -1.2314018429214045e+08 -1.2302076685279910e+08 -1.2286501046395534e+08 -1.2269374552117243e+08 -1.2251481540500766e+08 -1.2233208972250021e+08 -1.2214703597029912e+08 -1.2201261656529513e+08 -1.2187531439728659e+08 -1.2173452784899156e+08 -1.2158678308955242e+08 -1.2143427099841508e+08 -1.2127398376964915e+08 -1.2110479782330443e+08 -1.2092115137949096e+08 -1.2072458545937152e+08 -1.2051147700346388e+08 -1.2027899649579929e+08 -1.2002370573490794e+08 -1.1974173128895603e+08 -1.1942881573034158e+08 -1.1907915328488649e+08 -1.1868866910205691e+08 -1.1825082518073857e+08 -1.1775926282676183e+08 -1.1720713938060015e+08 -1.1658739783439921e+08 -1.1589296004875891e+08 -1.1511725748251422e+08 -1.1425515082365407e+08 -1.1330027252159594e+08 -1.1225218852233383e+08 -1.1111332363089320e+08 -1.0989261151213296e+08 -1.0860525416993478e+08 -1.0728018853738907e+08 -1.0596163391240248e+08 -1.0471443090698792e+08 -1.0363519896642858e+08 -1.0285940464406596e+08 -1.0258163418137601e+08 -1.0308082343373631e+08 -1.0476665548792416e+08 -1.0825973775207828e+08 -1.1454330692292291e+08 -1.2526345759505068e+08 3.4864074028114602e+07 +4.0306768922974312e-01 -2.1311811524319824e+07 -2.1223249462412905e+07 -2.1072741139177456e+07 -2.0879083699245710e+07 -2.0691930303490892e+07 -2.0585399946394343e+07 -2.0592216930393320e+07 -2.0657018009657595e+07 -2.0723702029380117e+07 -2.0781174512520172e+07 -2.0836353469611209e+07 -2.0890313479479287e+07 -2.0941834800528813e+07 -2.0990612766795035e+07 -2.1036953145940047e+07 -2.1080812351415504e+07 -2.1122255098444544e+07 -2.1161770116908576e+07 -2.1199983059344776e+07 -2.1237546930481277e+07 -2.1275131903946921e+07 -2.1313242981576089e+07 -2.1350728395113219e+07 -2.1384998585184254e+07 -2.1423982819185790e+07 -2.1475186951471951e+07 -2.1535387505051471e+07 -2.1603227544554029e+07 -2.1679886010472320e+07 -2.1767187701532658e+07 -2.1867272898636710e+07 -2.1982611366233796e+07 -2.2116055546271224e+07 -2.2270905474281829e+07 -2.2450984373884704e+07 -2.2660723609684233e+07 -2.2905263282423567e+07 -2.3190567083579816e+07 -2.3523558663599815e+07 -2.3912275629908662e+07 -2.4402751128099941e+07 -2.4981914907175798e+07 -2.5665712808920071e+07 -2.6472940240215164e+07 -2.7425794029100794e+07 -2.8550544582275908e+07 -2.9878348324518993e+07 -3.1446200538462367e+07 -3.3298029628160343e+07 -3.5485603234293848e+07 -3.8069951621338010e+07 -4.1119638172587827e+07 -4.4708417998580106e+07 -4.8912546677928858e+07 -5.3794947131068945e+07 -5.9389411346509226e+07 -6.5674540907912739e+07 -7.2551061281584248e+07 -7.9828665566387743e+07 -8.7233737815936550e+07 -9.4445301467549667e+07 -1.0114546517354113e+08 -1.0707483189324452e+08 -1.1206711018581598e+08 -1.1606345263839106e+08 -1.1909981402981758e+08 -1.2127949485251564e+08 -1.2274872755884393e+08 -1.2365972888296703e+08 -1.2416015918626183e+08 -1.2437952535170147e+08 -1.2441472359542678e+08 -1.2434069059078044e+08 -1.2420847287113784e+08 -1.2404393835030641e+08 -1.2386687793059233e+08 -1.2368410703968696e+08 -1.2349867337184758e+08 -1.2331148314960767e+08 -1.2317568390400904e+08 -1.2303703415787357e+08 -1.2289489235621893e+08 -1.2274573567415884e+08 -1.2259176940612479e+08 -1.2242995784659311e+08 -1.2225915085738932e+08 -1.2207375464572351e+08 -1.2187531581234634e+08 -1.2166017675637285e+08 -1.2142548098927155e+08 -1.2116775753647342e+08 -1.2088309604397655e+08 -1.2056720150722884e+08 -1.2021419789297642e+08 -1.1981999235680217e+08 -1.1937797564465591e+08 -1.1888172845121162e+08 -1.1832434289329414e+08 -1.1769869469533242e+08 -1.1699763825064136e+08 -1.1621454530326985e+08 -1.1534421320104937e+08 -1.1438023376988634e+08 -1.1332216020810921e+08 -1.1217244043628603e+08 -1.1094009327238652e+08 -1.0964046562375620e+08 -1.0830277024975669e+08 -1.0697165060404471e+08 -1.0571255216877845e+08 -1.0462303379078203e+08 -1.0383984534762934e+08 -1.0355943045094576e+08 -1.0406337861143522e+08 -1.0576527923215920e+08 -1.0929165666456790e+08 -1.1563512426917218e+08 -1.2645745075276524e+08 3.5645149364810154e+07 +4.0803601200400119e-01 -2.1827061928399991e+07 -2.1738735046158973e+07 -2.1588655221721917e+07 -2.1395564620990857e+07 -2.1208972595047273e+07 -2.1102786482082270e+07 -2.1109633731964633e+07 -2.1174305274453770e+07 -2.1240860105621878e+07 -2.1298238444251653e+07 -2.1353340945353739e+07 -2.1407241690244641e+07 -2.1458727364877015e+07 -2.1507497671888020e+07 -2.1553861262540773e+07 -2.1597779366074696e+07 -2.1639321798847418e+07 -2.1678982351593375e+07 -2.1717392423721172e+07 -2.1755211974883627e+07 -2.1793119612370178e+07 -2.1831631056092497e+07 -2.1869613662559669e+07 -2.1904512220475078e+07 -2.1944268959083967e+07 -2.1996389319468852e+07 -2.2057676707799286e+07 -2.2126807699298948e+07 -2.2204996344629765e+07 -2.2294107788211323e+07 -2.2396329410045341e+07 -2.2514185956707675e+07 -2.2650593983402297e+07 -2.2808928206473157e+07 -2.2993098752759703e+07 -2.3207637977207780e+07 -2.3457803204059120e+07 -2.3749694021523416e+07 -2.4090391501184855e+07 -2.4488115274686441e+07 -2.4989959218611583e+07 -2.5582539277432822e+07 -2.6282153548583455e+07 -2.7108006537738934e+07 -2.8082768802285373e+07 -2.9233256851680737e+07 -3.0591252058956455e+07 -3.2194455916024987e+07 -3.4087578281783491e+07 -3.6323214684686065e+07 -3.8963225711051323e+07 -4.2076850023108073e+07 -4.5738148569299839e+07 -5.0023064999004565e+07 -5.4993057879314460e+07 -6.0678930719817817e+07 -6.7054494477415316e+07 -7.4014167358823389e+07 -8.1360744456044421e+07 -8.8814561022044927e+07 -9.6050977568052307e+07 -1.0275167075995114e+08 -1.0866002560288686e+08 -1.1361475744411649e+08 -1.1756301160313907e+08 -1.2054649956130281e+08 -1.2267324170909604e+08 -1.2409294201321064e+08 -1.2495993028630680e+08 -1.2542294781108800e+08 -1.2561183139295284e+08 -1.2562315664342372e+08 -1.2553124512075485e+08 -1.2538625470616154e+08 -1.2521296718581887e+08 -1.2503013289754383e+08 -1.2484353974005310e+08 -1.2465541453446892e+08 -1.2446610341648872e+08 -1.2432893535508478e+08 -1.2418894917159474e+08 -1.2404546348829477e+08 -1.2389490679615533e+08 -1.2373949864110978e+08 -1.2357617573870474e+08 -1.2340376111507940e+08 -1.2321662992791282e+08 -1.2301633401289521e+08 -1.2279918151930992e+08 -1.2256228921339332e+08 -1.2230215362438379e+08 -1.2201482778739589e+08 -1.2169597953698486e+08 -1.2133966268417616e+08 -1.2094176722644070e+08 -1.2049561296499960e+08 -1.1999472049487363e+08 -1.1943211726000716e+08 -1.1880061228482625e+08 -1.1809299306414345e+08 -1.1730257222672480e+08 -1.1642408384431186e+08 -1.1545108011981887e+08 -1.1438310132917224e+08 -1.1322261831364533e+08 -1.1197873432530713e+08 -1.1066693995223933e+08 -1.0931672145219137e+08 -1.0797314294165115e+08 -1.0670224923615143e+08 -1.0560253125979075e+08 -1.0481201112310223e+08 -1.0452897421704312e+08 -1.0503764114245743e+08 -1.0675547468977453e+08 -1.1031486626220195e+08 -1.1671772686629991e+08 -1.2764136644819935e+08 3.6432575680563718e+07 +4.1300433477825926e-01 -2.2347904004344232e+07 -2.2259809594213400e+07 -2.2110153851413772e+07 -2.1917624186264265e+07 -2.1731587615625553e+07 -2.1625742359559987e+07 -2.1632620043830633e+07 -2.1697164167201012e+07 -2.1763592320492502e+07 -2.1820878573822290e+07 -2.1875906812305979e+07 -2.1929750634597834e+07 -2.1981203049457144e+07 -2.2029968154680483e+07 -2.2076357592432804e+07 -2.2120337306466747e+07 -2.2161982389443625e+07 -2.2201791683194645e+07 -2.2240402397177856e+07 -2.2278481534449097e+07 -2.2316716251504682e+07 -2.2355633082644135e+07 -2.2394118588805664e+07 -2.2429652042131852e+07 -2.2470189110487998e+07 -2.2523235211466346e+07 -2.2585620667746346e+07 -2.2656055737600531e+07 -2.2735789905006647e+07 -2.2826729035154875e+07 -2.2931108059659421e+07 -2.3051507221362378e+07 -2.3190907786266334e+07 -2.3352759833608810e+07 -2.3541061183124680e+07 -2.3760446079712950e+07 -2.4016290097894650e+07 -2.4314829885255750e+07 -2.4663305244183987e+07 -2.5070119292830259e+07 -2.5583436018097490e+07 -2.6189554002849177e+07 -2.6905125925867882e+07 -2.7749767770567924e+07 -2.8746626091221176e+07 -2.9923065364910211e+07 -3.1311492879156787e+07 -3.2950315576225661e+07 -3.4885020948317640e+07 -3.7169023380300403e+07 -3.9864996548018508e+07 -4.3042824206709459e+07 -4.6776824886344373e+07 -5.1142560775455914e+07 -5.6199934616090789e+07 -6.1976658964094922e+07 -6.8441663993433475e+07 -7.5483017534029916e+07 -8.2896652547279790e+07 -9.0396980528336927e+07 -9.7655891331458867e+07 -1.0435483967017871e+08 -1.1024016837238792e+08 -1.1515570603460722e+08 -1.1905462238830024e+08 -1.2198435758016095e+08 -1.2405758884604931e+08 -1.2542741710481551e+08 -1.2625021500885868e+08 -1.2667574627724630e+08 -1.2683413407489909e+08 -1.2682160326716723e+08 -1.2671184154496998e+08 -1.2655410769575354e+08 -1.2637209330827308e+08 -1.2618350731725276e+08 -1.2599311068551360e+08 -1.2580231051888771e+08 -1.2561089413195124e+08 -1.2547236829523784e+08 -1.2533105682348067e+08 -1.2518623863490461e+08 -1.2503429384916945e+08 -1.2487745610025926e+08 -1.2471263484610052e+08 -1.2453862600058472e+08 -1.2434977463424189e+08 -1.2414763747354445e+08 -1.2392848870906149e+08 -1.2368941859010026e+08 -1.2342689142573754e+08 -1.2313692395256925e+08 -1.2281514725924788e+08 -1.2245554510626467e+08 -1.2205399116693020e+08 -1.2160373460706779e+08 -1.2109823643383761e+08 -1.2053045996858892e+08 -1.1989314810361309e+08 -1.1917902200514875e+08 -1.1838133578541093e+08 -1.1749476030463952e+08 -1.1651280914293601e+08 -1.1543500947965704e+08 -1.1426385488135140e+08 -1.1300853231569377e+08 -1.1168467482779671e+08 -1.1032203984523167e+08 -1.0896610865419038e+08 -1.0768351986500475e+08 -1.0657368915209231e+08 -1.0577589976610620e+08 -1.0549026328092495e+08 -1.0600360881746309e+08 -1.0773723961532123e+08 -1.1132936422418275e+08 -1.1779111225764328e+08 -1.2881520199249014e+08 3.7226280073867448e+07 +4.1797265755251733e-01 -2.2874312786352124e+07 -2.2786448227210350e+07 -2.2637211835580800e+07 -2.2445237048249491e+07 -2.2259750100180205e+07 -2.2154242497373655e+07 -2.2161150848554049e+07 -2.2225569761387128e+07 -2.2291873404749203e+07 -2.2349069730134211e+07 -2.2404025993503723e+07 -2.2457815096646901e+07 -2.2509236579405669e+07 -2.2557998954073235e+07 -2.2604416822276205e+07 -2.2648460815630715e+07 -2.2690211447104175e+07 -2.2730172654207975e+07 -2.2768987470105529e+07 -2.2807330064941425e+07 -2.2845896223283615e+07 -2.2885223407770298e+07 -2.2924217464309458e+07 -2.2960392273508646e+07 -2.3001717420566380e+07 -2.3055698678365283e+07 -2.3119193323653046e+07 -2.3190945467379116e+07 -2.3272240347644616e+07 -2.3365024920545798e+07 -2.3471582117391583e+07 -2.3594548185539022e+07 -2.3736969692730244e+07 -2.3902372754698798e+07 -2.4094843664055888e+07 -2.4319119443386640e+07 -2.4580694929958962e+07 -2.4885944976140346e+07 -2.5242269403367121e+07 -2.5658256252413243e+07 -2.6183148874646366e+07 -2.6802924946854789e+07 -2.7534593988488723e+07 -2.8398185753500879e+07 -2.9417324946453582e+07 -3.0619925724757016e+07 -3.2039022051950794e+07 -3.3713725285243958e+07 -3.5690296356873021e+07 -3.8022958986570954e+07 -4.0775182086872175e+07 -4.4017463599010132e+07 -4.7824330677201763e+07 -5.2270894107224271e+07 -5.7415409681930833e+07 -6.3282398190455668e+07 -6.9835822212134838e+07 -7.6957360836396873e+07 -8.4436125763628274e+07 -9.1980733270037353e+07 -9.9259795395669386e+07 -1.0595475232268932e+08 -1.1181507570668943e+08 -1.1668980859073536e+08 -1.2053817247510739e+08 -1.2341330545792589e+08 -1.2543247752142715e+08 -1.2675211212444775e+08 -1.2753055534176376e+08 -1.2791853590494254e+08 -1.2804642080309542e+08 -1.2801005487406340e+08 -1.2788247383952306e+08 -1.2771202741704999e+08 -1.2752131324971563e+08 -1.2732699825391364e+08 -1.2713281721136031e+08 -1.2693935878407966e+08 -1.2674585280474149e+08 -1.2660598024836595e+08 -1.2646335464490521e+08 -1.2631721533202232e+08 -1.2616389437243019e+08 -1.2600563932633042e+08 -1.2583933271451275e+08 -1.2566374306340814e+08 -1.2547318631795503e+08 -1.2526922375121349e+08 -1.2504809588704935e+08 -1.2480686668542995e+08 -1.2454196851201946e+08 -1.2424938211629848e+08 -1.2392470225725906e+08 -1.2356184274976453e+08 -1.2315666177683239e+08 -1.2270233817829883e+08 -1.2219227388529950e+08 -1.2161936864731953e+08 -1.2097629979270287e+08 -1.2025572272859444e+08 -1.1945083364972951e+08 -1.1855624027045269e+08 -1.1756541854690024e+08 -1.1647788238819788e+08 -1.1529614789143293e+08 -1.1402948502008094e+08 -1.1269366805291967e+08 -1.1131872325830983e+08 -1.0995054559742522e+08 -1.0865636193672068e+08 -1.0753650537120733e+08 -1.0673150919538310e+08 -1.0644329556697170e+08 -1.0696127955073740e+08 -1.0871057188874418e+08 -1.1233514835981837e+08 -1.1885527812415510e+08 -1.2997895484760696e+08 3.8026189959044285e+07 +4.2294098032677541e-01 -2.3406261687910639e+07 -2.3318624620522745e+07 -2.3169803438117862e+07 -2.2978377930737205e+07 -2.2793434844323911e+07 -2.2688261386686079e+07 -2.2695200960224099e+07 -2.2759496670848880e+07 -2.2825678092696942e+07 -2.2882786540616911e+07 -2.2937672920658790e+07 -2.2991409558903836e+07 -2.3042802422578264e+07 -2.3091564504905235e+07 -2.3138013346907314e+07 -2.3182124265037201e+07 -2.3223983285930764e+07 -2.3264099524783459e+07 -2.3303121856887951e+07 -2.3341731745443258e+07 -2.3380633654137533e+07 -2.3420376101801239e+07 -2.3459884303617965e+07 -2.3496706861307941e+07 -2.3538827759885553e+07 -2.3593753494103998e+07 -2.3658368336045619e+07 -2.3731450417708360e+07 -2.3814321048347011e+07 -2.3908968641165245e+07 -2.4017724570103571e+07 -2.4143281589453805e+07 -2.4288752152929049e+07 -2.4457739078105982e+07 -2.4654417900434513e+07 -2.4883629295931887e+07 -2.5150988362733651e+07 -2.5463009285996769e+07 -2.5827253172756225e+07 -2.6252494396216281e+07 -2.6789064800232098e+07 -2.7422617623661846e+07 -2.8170521419458322e+07 -2.9053221917912316e+07 -3.0094824012806423e+07 -3.1323793101959307e+07 -3.2773790381187148e+07 -3.4484630311150007e+07 -3.6503342700435281e+07 -3.8884950596143462e+07 -4.1693699682682112e+07 -4.5000670477862678e+07 -4.8880549133481868e+07 -5.3407924729065873e+07 -5.8639315394534312e+07 -6.4595951058914639e+07 -7.1236743262737617e+07 -7.8436948689610586e+07 -8.5978903499210149e+07 -9.3565560582419172e+07 -1.0086244739421527e+08 -1.0755119429410629e+08 -1.1338456801435658e+08 -1.1821692208574191e+08 -1.2201355295867106e+08 -1.2483326342703255e+08 -1.2679785116787602e+08 -1.2806698796336587e+08 -1.2880092472817318e+08 -1.2915129883405803e+08 -1.2924867956535210e+08 -1.2918850328995417e+08 -1.2904313628944950e+08 -1.2886000968623529e+08 -1.2866062373817104e+08 -1.2846060294380552e+08 -1.2826265681218536e+08 -1.2806655694266012e+08 -1.2787097709495023e+08 -1.2772976888872556e+08 -1.2758584031744662e+08 -1.2743839126576340e+08 -1.2728370605541590e+08 -1.2712404601143594e+08 -1.2695626703938554e+08 -1.2677911000243081e+08 -1.2658686268126954e+08 -1.2638109055205321e+08 -1.2615800076353046e+08 -1.2591463121377021e+08 -1.2564738260243660e+08 -1.2535220000346792e+08 -1.2502464226145665e+08 -1.2465855335205437e+08 -1.2424977680078714e+08 -1.2379142143169193e+08 -1.2327683061147369e+08 -1.2269884106912638e+08 -1.2205006513683581e+08 -1.2132309303248666e+08 -1.2051106363217552e+08 -1.1960852157057860e+08 -1.1860890617898396e+08 -1.1751171792230341e+08 -1.1631949523258410e+08 -1.1504159035032204e+08 -1.1369391756400667e+08 -1.1230676965308350e+08 -1.1092645175793564e+08 -1.0962077346186593e+08 -1.0849097794800054e+08 -1.0767883745685300e+08 -1.0738806912601794e+08 -1.0791065138346133e+08 -1.0967546951950058e+08 -1.1333221661156666e+08 -1.1991022228801724e+08 -1.3113262262990019e+08 3.8832233065924466e+07 +4.2790930310103348e-01 -2.3943725506670881e+07 -2.3856313191625569e+07 -2.3707902548473366e+07 -2.3517020900617935e+07 -2.3332616328295399e+07 -2.3227774043480348e+07 -2.3234744784398511e+07 -2.3298919257163886e+07 -2.3364980661104400e+07 -2.3422003310846798e+07 -2.3476821815399744e+07 -2.3530508273025390e+07 -2.3581874823206052e+07 -2.3630638931845266e+07 -2.3677121250657443e+07 -2.3721301726652019e+07 -2.3763271954164635e+07 -2.3803546275932249e+07 -2.3842779505013365e+07 -2.3881660478912745e+07 -2.3920902396577030e+07 -2.3961064962015003e+07 -2.4001092846461061e+07 -2.4038569477514293e+07 -2.4081493723662768e+07 -2.4137373157240171e+07 -2.4203119088888764e+07 -2.4277543840391800e+07 -2.4362005104345150e+07 -2.4458533114010144e+07 -2.4569508123268142e+07 -2.4697679889943086e+07 -2.4846227331117395e+07 -2.5018830623262506e+07 -2.5219755304615028e+07 -2.5453946568309549e+07 -2.5727140756894022e+07 -2.6045992498832811e+07 -2.6418225431506250e+07 -2.6852801643870838e+07 -2.7401150472853396e+07 -2.8048597200712934e+07 -2.8812871539499674e+07 -2.9714837314479247e+07 -3.0779081532466944e+07 -3.2034622238605626e+07 -3.3515748212014504e+07 -3.5262975429121755e+07 -3.7324097642566100e+07 -3.9754926737283528e+07 -4.2620466102368876e+07 -4.5992346538449049e+07 -4.9945362930600688e+07 -5.4553512035348028e+07 -5.9871484076564223e+07 -6.5917120805851527e+07 -7.2644202664838985e+07 -7.9921534908362031e+07 -8.7524728583593130e+07 -9.5151208127823263e+07 -1.0246360984771639e+08 -1.0914395618483262e+08 -1.1494847046155968e+08 -1.1973690769086342e+08 -1.2348065842269421e+08 -1.2624415447659379e+08 -1.2815365530956110e+08 -1.2937200705318631e+08 -1.3006129772186078e+08 -1.3037401799620081e+08 -1.3044089891439570e+08 -1.3035694074923322e+08 -1.3019382348456661e+08 -1.2999805055702958e+08 -1.2979002169879490e+08 -1.2958431879724111e+08 -1.2938262714561488e+08 -1.2918390276455642e+08 -1.2898626481792291e+08 -1.2884373204531918e+08 -1.2869851167702033e+08 -1.2854976427576478e+08 -1.2839372674093959e+08 -1.2823267400139128e+08 -1.2806343566894042e+08 -1.2788472466933279e+08 -1.2769080157915412e+08 -1.2748323573439473e+08 -1.2725820120039067e+08 -1.2701271004151526e+08 -1.2674313156764723e+08 -1.2644537548961304e+08 -1.2611496515301976e+08 -1.2574567480094573e+08 -1.2533333413345854e+08 -1.2487098226957805e+08 -1.2435190452374603e+08 -1.2376887515502334e+08 -1.2311444206773008e+08 -1.2238113086079521e+08 -1.2156202369072273e+08 -1.2065160217878880e+08 -1.1964327002963036e+08 -1.1853651409060562e+08 -1.1733389493393295e+08 -1.1604484635730176e+08 -1.1468542143480459e+08 -1.1328617712666850e+08 -1.1189382525613910e+08 -1.1057675258307289e+08 -1.0943710504439096e+08 -1.0861788272602487e+08 -1.0832458213856231e+08 -1.0885172248728010e+08 -1.1063193064897263e+08 -1.1432056705905207e+08 -1.2095594271628472e+08 -1.3227620311436634e+08 3.9644337439518608e+07 +4.3287762587529155e-01 -2.4486677466552351e+07 -2.4399487463451955e+07 -2.4251483293852698e+07 -2.4061139478834890e+07 -2.3877268031627111e+07 -2.3772753812632378e+07 -2.3779756206347670e+07 -2.3843811548520647e+07 -2.3909755200320832e+07 -2.3966693952309459e+07 -2.4021446738553021e+07 -2.4075085182773888e+07 -2.4126427637934197e+07 -2.4175196065822449e+07 -2.4221714322892487e+07 -2.4265966986140415e+07 -2.4308051215936530e+07 -2.4348486622286960e+07 -2.4387934095548689e+07 -2.4427089893278826e+07 -2.4466676030737828e+07 -2.4507263514905605e+07 -2.4547816559179667e+07 -2.4585953521383401e+07 -2.4629688633187726e+07 -2.4686530892301299e+07 -2.4753418691250741e+07 -2.4829198711531047e+07 -2.4915265335907165e+07 -2.5013690977869563e+07 -2.5126905202443730e+07 -2.5257715261946000e+07 -2.5409367107156452e+07 -2.5585618922338177e+07 -2.5790826998147979e+07 -2.6030041896476991e+07 -2.6309122173173483e+07 -2.6634863992758200e+07 -2.7015154745948311e+07 -2.7459145593806308e+07 -2.8019372238803282e+07 -2.8680828500913452e+07 -2.9461607309634477e+07 -3.0382992616036296e+07 -3.1470055348242391e+07 -3.2752367451987870e+07 -3.4264845435203589e+07 -3.6048704926734127e+07 -3.8152498323852733e+07 -4.0632815382240035e+07 -4.3555397535920255e+07 -4.6992392908022247e+07 -5.1018654247137323e+07 -5.5707515103963517e+07 -6.1111748083291896e+07 -6.7245711270185411e+07 -7.4057977345282882e+07 -8.1410875695153773e+07 -8.9073347247234315e+07 -9.6737425823863417e+07 -1.0406305005798773e+08 -1.1073283348847052e+08 -1.1650661283183801e+08 -1.2124963063950959e+08 -1.2493938681726076e+08 -1.2764590425225493e+08 -1.2949983748614687e+08 -1.3066713330862552e+08 -1.3131164994706698e+08 -1.3158667708911675e+08 -1.3162306795238335e+08 -1.3151535988674007e+08 -1.3133453031547964e+08 -1.3112614632068114e+08 -1.3090950425589229e+08 -1.3069814340207088e+08 -1.3049272603492840e+08 -1.3029139418036112e+08 -1.3009171394743793e+08 -1.2994786770474637e+08 -1.2980136671667831e+08 -1.2965133235912134e+08 -1.2949395442892222e+08 -1.2933152129868059e+08 -1.2916083660834199e+08 -1.2898058507227996e+08 -1.2878500102285673e+08 -1.2857565731275922e+08 -1.2834869521574460e+08 -1.2810110119015343e+08 -1.2782921343364426e+08 -1.2752890660524791e+08 -1.2719566896734568e+08 -1.2682320513778010e+08 -1.2640733182303485e+08 -1.2594101874727024e+08 -1.2541749368527159e+08 -1.2482946897712621e+08 -1.2416942866792917e+08 -1.2342983430750045e+08 -1.2260371193154444e+08 -1.2168548021608387e+08 -1.2066850823549828e+08 -1.1955226904730740e+08 -1.1833934516824335e+08 -1.1703925123386715e+08 -1.1566817787903851e+08 -1.1425694391456680e+08 -1.1285266434915888e+08 -1.1152429757860559e+08 -1.1037488495609018e+08 -1.0954864331139314e+08 -1.0925283291748951e+08 -1.0978449116674584e+08 -1.1157995355423777e+08 -1.1530019792152284e+08 -1.2199243752399574e+08 -1.3340969423756911e+08 4.0462431439686768e+07 +4.3784594864954962e-01 -2.5035090999913357e+07 -2.4948120929136749e+07 -2.4800519193605721e+07 -2.4610708003683873e+07 -2.4427364136092171e+07 -2.4323174943776488e+07 -2.4330209231212564e+07 -2.4394147533936657e+07 -2.4459975473556742e+07 -2.4516832395946380e+07 -2.4571521445474863e+07 -2.4625113905488431e+07 -2.4676434502624340e+07 -2.4725209509168912e+07 -2.4771766108861398e+07 -2.4816093568725459e+07 -2.4858294546941891e+07 -2.4898894012844052e+07 -2.4938559039358895e+07 -2.4977993343030587e+07 -2.5017927866511617e+07 -2.5058945017374508e+07 -2.5100028636272751e+07 -2.5138832121314425e+07 -2.5183385537415843e+07 -2.5241199651400667e+07 -2.5309239979057509e+07 -2.5386387733318534e+07 -2.5474074288029991e+07 -2.5574414595070127e+07 -2.5689887955152169e+07 -2.5823359600291647e+07 -2.5978143078276105e+07 -2.6158075221902043e+07 -2.6367603813518390e+07 -2.6611885623152457e+07 -2.6896902374137890e+07 -2.7229592841901682e+07 -2.7618009371450823e+07 -2.8071493525321193e+07 -2.8643696114647340e+07 -2.9319276005004812e+07 -3.0116691333724648e+07 -3.1057648120361131e+07 -3.2167702906608544e+07 -3.3476982638143450e+07 -3.5021031491468750e+07 -3.6841762609300748e+07 -3.8988481368717603e+07 -4.1518543956169814e+07 -4.4498409607499227e+07 -4.8000710160860457e+07 -5.2100304784169570e+07 -5.6869792720388457e+07 -6.2359939829398185e+07 -6.8581526918440923e+07 -7.5477845653966129e+07 -8.2904729635387436e+07 -9.0624509086601138e+07 -9.8323967773771361e+07 -1.0566054000483036e+08 -1.1231762646604420e+08 -1.1805882939147463e+08 -1.2275496009692602e+08 -1.2638963934464297e+08 -1.2903844096095249e+08 -1.3083634717807035e+08 -1.3195233207409395e+08 -1.3255195806149930e+08 -1.3278926055135944e+08 -1.3279517631545989e+08 -1.3266375372912322e+08 -1.3246525197042961e+08 -1.3224429350541800e+08 -1.3201906873364158e+08 -1.3180207452513550e+08 -1.3159295147202536e+08 -1.3138902928445148e+08 -1.3118732261911252e+08 -1.3104217401487523e+08 -1.3089440359049904e+08 -1.3074309367330799e+08 -1.3058438727939595e+08 -1.3042058606589685e+08 -1.3024846802229072e+08 -1.3006668937912318e+08 -1.2986945918278386e+08 -1.2965835346038049e+08 -1.2942948098607330e+08 -1.2917980284007438e+08 -1.2890562638433181e+08 -1.2860279153866906e+08 -1.2826675189734843e+08 -1.2789114256126502e+08 -1.2747176807353553e+08 -1.2700152907566148e+08 -1.2647359631431080e+08 -1.2588062076225406e+08 -1.2521502317354819e+08 -1.2446920161922111e+08 -1.2363612661313757e+08 -1.2271015395377541e+08 -1.2168461908252501e+08 -1.2055898109411597e+08 -1.1933584425452335e+08 -1.1802480331729445e+08 -1.1664218525388774e+08 -1.1521906839389151e+08 -1.1380296743387774e+08 -1.1246340686427961e+08 -1.1130431611546572e+08 -1.1047111765696770e+08 -1.1017281991078049e+08 -1.1070895586231367e+08 -1.1251953665014608e+08 -1.1627110756070986e+08 -1.2301970497679307e+08 -1.3453309410181984e+08 4.1286443740804434e+07 +4.4281427142380769e-01 -2.5588939354518693e+07 -2.5502186955179609e+07 -2.5354983670404449e+07 -2.5165699384412479e+07 -2.4982878371792950e+07 -2.4879010944452520e+07 -2.4886077517082442e+07 -2.4949900459780734e+07 -2.5015614853597052e+07 -2.5072391938696045e+07 -2.5127019285272371e+07 -2.5180567772262152e+07 -2.5231868812399987e+07 -2.5280652590489347e+07 -2.5327249906023778e+07 -2.5371654721789077e+07 -2.5413975150920585e+07 -2.5454741623952761e+07 -2.5494627475272238e+07 -2.5534343913251661e+07 -2.5574630945112508e+07 -2.5616082457238086e+07 -2.5657702002410386e+07 -2.5697178136316434e+07 -2.5742557214693595e+07 -2.5801352115500335e+07 -2.5870555516727008e+07 -2.5949083335579753e+07 -2.6038404232190453e+07 -2.6140676053102817e+07 -2.6258428252288856e+07 -2.6394584521364130e+07 -2.6552526560762737e+07 -2.6736170484701615e+07 -2.6950056295839325e+07 -2.7199447799662232e+07 -2.7490450826018192e+07 -2.7830147818315677e+07 -2.8226757254385669e+07 -2.8689812400580958e+07 -2.9274087789547045e+07 -2.9963903853879578e+07 -3.0778085861007109e+07 -3.1738763752977952e+07 -3.2871981260957781e+07 -3.4208421275660336e+07 -3.5784255375889994e+07 -3.7642091805034898e+07 -3.9831982891910225e+07 -4.2412039345328167e+07 -4.5449417386787124e+07 -4.9017198333055370e+07 -5.3190195784209788e+07 -5.8040203400894508e+07 -6.3615891814908698e+07 -6.9924372869414046e+07 -7.6903587378088057e+07 -8.4402857692119896e+07 -9.2177967029310346e+07 -9.9910592197217271e+07 -1.0725585624619643e+08 -1.1389814002413166e+08 -1.1960495875940098e+08 -1.2425276903602634e+08 -1.2783132034863496e+08 -1.3042169528089570e+08 -1.3216313573694502e+08 -1.3322757007167092e+08 -1.3378219972009957e+08 -1.3398175353943010e+08 -1.3395721415921053e+08 -1.3380211568705280e+08 -1.3358598393115637e+08 -1.3335248887546080e+08 -1.3311871265768529e+08 -1.3289611011493906e+08 -1.3268330162038274e+08 -1.3247680633803402e+08 -1.3227308913316609e+08 -1.3212664928773470e+08 -1.3197762061606632e+08 -1.3182504653929058e+08 -1.3166502361583179e+08 -1.3149986662853399e+08 -1.3132632823861155e+08 -1.3114303592009285e+08 -1.3094417439188963e+08 -1.3073132251304616e+08 -1.3050055685007736e+08 -1.3024881333276391e+08 -1.2997236876499571e+08 -1.2966702863887919e+08 -1.2932821229619744e+08 -1.2894948542967302e+08 -1.2852664124891944e+08 -1.2805251162451904e+08 -1.2752021078746551e+08 -1.2692232889447488e+08 -1.2625122397718763e+08 -1.2549923119800475e+08 -1.2465926614810686e+08 -1.2372562181718026e+08 -1.2269160100896977e+08 -1.2155664868358107e+08 -1.2032339066093019e+08 -1.1900150109286623e+08 -1.1760744206186244e+08 -1.1617254908568561e+08 -1.1474473304931502e+08 -1.1339407899674031e+08 -1.1222539709389795e+08 -1.1138530434484458e+08 -1.1108454170435500e+08 -1.1162511515288027e+08 -1.1345067849217226e+08 -1.1723329448402961e+08 -1.2403774349486423e+08 -1.3564640097738710e+08 4.2116303331424415e+07 +4.4778259419806576e-01 -2.6148195795504943e+07 -2.6061658284787953e+07 -2.5914849572065853e+07 -2.5726087248141743e+07 -2.5543783093082983e+07 -2.5440235303951930e+07 -2.5447333810788389e+07 -2.5511043896516111e+07 -2.5576646466411702e+07 -2.5633345876145430e+07 -2.5687913407441545e+07 -2.5741420059304129e+07 -2.5792703596629109e+07 -2.5841498339827750e+07 -2.5888138741683800e+07 -2.5932623410529558e+07 -2.5975065972627949e+07 -2.6016002361745991e+07 -2.6056112271284077e+07 -2.6096114423401188e+07 -2.6136758040413219e+07 -2.6178648554268386e+07 -2.6220809314628970e+07 -2.6260964157562666e+07 -2.6307176174635701e+07 -2.6366960696099531e+07 -2.6437337598933760e+07 -2.6517257677370869e+07 -2.6608227167989839e+07 -2.6712447166198596e+07 -2.6832497689934973e+07 -2.6971361364637729e+07 -2.7132488591650631e+07 -2.7319875391327184e+07 -2.7538154704681408e+07 -2.7792698187630791e+07 -2.8089736700579170e+07 -2.8436497393675845e+07 -2.8841366034177635e+07 -2.9314068866854392e+07 -2.9910512627451058e+07 -3.0614675851003412e+07 -3.1445752788630359e+07 -3.2426299070070241e+07 -3.3582847074895658e+07 -3.4946636429247178e+07 -3.6554465642289057e+07 -3.8449635370618112e+07 -4.0682938505279154e+07 -4.3313227905808747e+07 -4.6408335400079459e+07 -5.0041756936910592e+07 -5.4288208050218545e+07 -5.9218605415878743e+07 -6.4879436651255287e+07 -7.1274054917601511e+07 -7.8334983756639883e+07 -8.5905023200249895e+07 -9.3733477299770355e+07 -1.0149706136299589e+08 -1.0884877982044737e+08 -1.1547418359746690e+08 -1.2114484378275782e+08 -1.2574293411699553e+08 -1.2926433720951331e+08 -1.3179560027453466e+08 -1.3348015631873377e+08 -1.3449281535312805e+08 -1.3500235354159307e+08 -1.3516414190537554e+08 -1.3510917214609754e+08 -1.3493043954776335e+08 -1.3469672197044680e+08 -1.3445072943119001e+08 -1.3420843375589789e+08 -1.3398024830360867e+08 -1.3376377481739710e+08 -1.3355472377164054e+08 -1.3334901195760883e+08 -1.3320129200190763e+08 -1.3305101627767427e+08 -1.3289718944441046e+08 -1.3273586192796744e+08 -1.3256936147822039e+08 -1.3239441575064729e+08 -1.3220962319119231e+08 -1.3200914514827697e+08 -1.3179456297125827e+08 -1.3156192131056166e+08 -1.3130813117428412e+08 -1.3102943908463801e+08 -1.3072161641844773e+08 -1.3038004868012284e+08 -1.2999823226395102e+08 -1.2957194987499082e+08 -1.2909396492505366e+08 -1.2855733564210707e+08 -1.2795459191802520e+08 -1.2727802963078964e+08 -1.2651992160442537e+08 -1.2567312910648122e+08 -1.2473188238710278e+08 -1.2368945260766575e+08 -1.2254527042174017e+08 -1.2130198300770076e+08 -1.1996934319559115e+08 -1.1856394695432170e+08 -1.1711738465762046e+08 -1.1567795987947419e+08 -1.1431631267567219e+08 -1.1313812660446219e+08 -1.1229120209777379e+08 -1.1198799702409609e+08 -1.1253296775815986e+08 -1.1437337777944656e+08 -1.1818675734664829e+08 -1.2504655165427251e+08 -1.3674961330599439e+08 4.2951939513935633e+07 +4.5275091697232384e-01 -2.6712832216348853e+07 -2.6626507955248501e+07 -2.6480089275597893e+07 -2.6291844163393494e+07 -2.6110052460007273e+07 -2.6006820698652443e+07 -2.6013951848525763e+07 -2.6077550450148381e+07 -2.6143043606016494e+07 -2.6199666956876285e+07 -2.6254176592171539e+07 -2.6307643567892503e+07 -2.6358911632569112e+07 -2.6407719578424577e+07 -2.6454405369299661e+07 -2.6498972341569923e+07 -2.6541539688147526e+07 -2.6582648870501135e+07 -2.6622986026726037e+07 -2.6663277429790445e+07 -2.6704281660330713e+07 -2.6746615761940263e+07 -2.6789322964127447e+07 -2.6830162509331368e+07 -2.6877214660064969e+07 -2.6937997536922943e+07 -2.7009558252331436e+07 -2.7090882648806285e+07 -2.7183514824876476e+07 -2.7289699477099687e+07 -2.7412067590898942e+07 -2.7553661194495149e+07 -2.7717999930354156e+07 -2.7909160341930248e+07 -2.8131869015825257e+07 -2.8391606260836259e+07 -2.8694728876965556e+07 -2.9048609741523851e+07 -2.9461803045248922e+07 -2.9944229258380063e+07 -3.0552935669266045e+07 -3.1271555464736484e+07 -3.2119653664400470e+07 -3.3120213261348151e+07 -3.4300256625398405e+07 -3.5691580753667630e+07 -3.7331610407608114e+07 -3.9264335696366020e+07 -4.1541283324549414e+07 -4.4222035472187087e+07 -4.7375077641531825e+07 -5.1074284975953586e+07 -5.5394221964325413e+07 -6.0404856812483951e+07 -6.6150407086023659e+07 -7.2630379556327045e+07 -7.9771817492773145e+07 -8.7410991860003740e+07 -9.5290799384457201e+07 -1.0308314152232951e+08 -1.1043909615126514e+08 -1.1704557103499228e+08 -1.2267833141629504e+08 -1.2722533557312438e+08 -1.3068860024304119e+08 -1.3316009130690303e+08 -1.3478736382094201e+08 -1.3574803725321639e+08 -1.3621239907676503e+08 -1.3633641217597842e+08 -1.3625104143152386e+08 -1.3604871946821707e+08 -1.3579746214833483e+08 -1.3553901240760487e+08 -1.3528822995990831e+08 -1.3505448740879902e+08 -1.3483436957657793e+08 -1.3462278018783829e+08 -1.3441508973041362e+08 -1.3426610080610484e+08 -1.3411458922887637e+08 -1.3395952104490563e+08 -1.3379690087372875e+08 -1.3362906927488504e+08 -1.3345272921997704e+08 -1.3326644985607798e+08 -1.3306437011786811e+08 -1.3284807350282693e+08 -1.3261357303814571e+08 -1.3235775503753243e+08 -1.3207683601903497e+08 -1.3176655355605111e+08 -1.3142225973139158e+08 -1.3103738175064659e+08 -1.3060769264226054e+08 -1.3012588767264506e+08 -1.2958496957894571e+08 -1.2897740853973916e+08 -1.2829543884794097e+08 -1.2753127155994955e+08 -1.2667771421795733e+08 -1.2572893440322821e+08 -1.2467817262884578e+08 -1.2352484507022318e+08 -1.2227162006898862e+08 -1.2092832841331863e+08 -1.1951169873318838e+08 -1.1805357392588522e+08 -1.1660264675507903e+08 -1.1523010674597310e+08 -1.1404250350395826e+08 -1.1318880978092788e+08 -1.1288318473821363e+08 -1.1343251254094489e+08 -1.1528763335561161e+08 -1.1913149495396598e+08 -1.2604612819050807e+08 -1.3784272970348132e+08 4.3793281904217839e+07 +4.5771923974658191e-01 -2.7282821366212074e+07 -2.7196708160256855e+07 -2.7050675915209096e+07 -2.6862942489134643e+07 -2.6681658306114331e+07 -2.6578739958687533e+07 -2.6585903924035352e+07 -2.6649393018554673e+07 -2.6714778694824174e+07 -2.6771327856012125e+07 -2.6825781587040976e+07 -2.6879210808169693e+07 -2.6930465503422305e+07 -2.6979288872443188e+07 -2.7026022291280057e+07 -2.7070673972261015e+07 -2.7113368704259116e+07 -2.7154653534198072e+07 -2.7195221073659804e+07 -2.7235805226480484e+07 -2.7277174048362371e+07 -2.7319956269689661e+07 -2.7363215078031484e+07 -2.7404745250600450e+07 -2.7452644648714431e+07 -2.7514434515636828e+07 -2.7587189237145476e+07 -2.7669929872461770e+07 -2.7764238663908668e+07 -2.7872404258667931e+07 -2.7997109006476991e+07 -2.8141454801828023e+07 -2.8309031060521666e+07 -2.8503995457984798e+07 -2.8731168922945566e+07 -2.8996141207043894e+07 -2.9305395943493288e+07 -2.9666452738946348e+07 -3.0088035318988904e+07 -3.0580259598645486e+07 -3.1201321635119397e+07 -3.1934505830768451e+07 -3.2799749689188104e+07 -3.3820465152876906e+07 -3.5024165806161068e+07 -3.6443206497309893e+07 -3.8115637356485739e+07 -4.0086134711849779e+07 -4.2406951975914866e+07 -4.5138387366021134e+07 -4.8349557584411174e+07 -5.2114680959201999e+07 -5.6508117506191812e+07 -6.1598815437151812e+07 -6.7428636027506217e+07 -7.3993153999530092e+07 -8.1213872766408101e+07 -8.8920531729724646e+07 -9.6849695997590974e+07 -1.0466860284454444e+08 -1.1202659495653763e+08 -1.1861212048941867e+08 -1.2420527260669918e+08 -1.2869985710065670e+08 -1.3210402260474132e+08 -1.3451510596677378e+08 -1.3608471482168251e+08 -1.3699320634612554e+08 -1.3741231677770033e+08 -1.3749855153283727e+08 -1.3738281365229222e+08 -1.3715694996811002e+08 -1.3688820080971840e+08 -1.3661733527498749e+08 -1.3635809940531677e+08 -1.3611882593550381e+08 -1.3589508459005195e+08 -1.3568097436364597e+08 -1.3547132126233730e+08 -1.3532107452071455e+08 -1.3516833829478103e+08 -1.3501204016858247e+08 -1.3484813928283831e+08 -1.3467898884969282e+08 -1.3450126747908291e+08 -1.3431351474946985e+08 -1.3410984813665541e+08 -1.3389185294603299e+08 -1.3365551087263222e+08 -1.3339768376472881e+08 -1.3311455841272959e+08 -1.3280183889937554e+08 -1.3245484430016288e+08 -1.3206693274345940e+08 -1.3163386840859248e+08 -1.3114827872932458e+08 -1.3060311146473950e+08 -1.2999077763174748e+08 -1.2930345050660403e+08 -1.2853327994901857e+08 -1.2767302037459838e+08 -1.2671677676625432e+08 -1.2565775998215672e+08 -1.2449537154875635e+08 -1.2323230077546188e+08 -1.2187845568838495e+08 -1.2045069635322630e+08 -1.1898111585849455e+08 -1.1751879265632644e+08 -1.1613546020009914e+08 -1.1493852679521437e+08 -1.1407812640468517e+08 -1.1377010385960738e+08 -1.1432374850901005e+08 -1.1619344421277174e+08 -1.2006750626385598e+08 -1.2703647200019298e+08 -1.3892574896196938e+08 4.4640260431293324e+07 +4.6268756252083998e-01 -2.7858135786103517e+07 -2.7772230929048453e+07 -2.7626581588045731e+07 -2.7439354739458133e+07 -2.7258573225012109e+07 -2.7155965783420499e+07 -2.7163162648022193e+07 -2.7226544334671453e+07 -2.7291824269960795e+07 -2.7348300948618587e+07 -2.7402700723666187e+07 -2.7456094124792047e+07 -2.7507337448221423e+07 -2.7556178469475817e+07 -2.7602961740481429e+07 -2.7647700501571067e+07 -2.7690525173589181e+07 -2.7731988471074358e+07 -2.7772789479400150e+07 -2.7813669845828947e+07 -2.7855407185778089e+07 -2.7898642004576154e+07 -2.7942457520783871e+07 -2.7984684176562384e+07 -2.8033437855006114e+07 -2.8096243245619670e+07 -2.8170202048884273e+07 -2.8254370705257755e+07 -2.8350369879471894e+07 -2.8460532515603036e+07 -2.8587592718092203e+07 -2.8734712705755092e+07 -2.8905552191676680e+07 -2.9104350584066719e+07 -2.9336023839490905e+07 -2.9606271929779660e+07 -2.9921706199717153e+07 -3.0289993968595613e+07 -3.0720029585856140e+07 -3.1222125602482256e+07 -3.1855634926625241e+07 -3.2603489754566386e+07 -3.3486001719793230e+07 -3.4527013210115582e+07 -3.5754530130776055e+07 -3.7201465506172560e+07 -3.8906493745611370e+07 -4.0914973891099215e+07 -4.3279878602877811e+07 -4.6062208404596075e+07 -4.9331688192023516e+07 -5.3162842915637501e+07 -5.7629774271600448e+07 -6.2800338957490861e+07 -6.8713956568623245e+07 -7.5362186203004435e+07 -8.2660935244987890e+07 -9.0433413218382433e+07 -9.8409933046920121e+07 -1.0625321935231420e+08 -1.1361107015718661e+08 -1.2017365431102259e+08 -1.2572552218091093e+08 -1.3016638575308549e+08 -1.3351052019737229e+08 -1.3586058399172866e+08 -1.3737216752239043e+08 -1.3822829440378684e+08 -1.3860208796907440e+08 -1.3865054779351923e+08 -1.3850448091488513e+08 -1.3825512592385718e+08 -1.3796893458107150e+08 -1.3768569573723111e+08 -1.3741804043330058e+08 -1.3717326257746384e+08 -1.3694591873041642e+08 -1.3672930525249889e+08 -1.3651770553909999e+08 -1.3636621214080262e+08 -1.3621226247469553e+08 -1.3605474581685638e+08 -1.3588957615838438e+08 -1.3571911920691067e+08 -1.3554002953360239e+08 -1.3535081687843487e+08 -1.3514557821360126e+08 -1.3492590031108558e+08 -1.3468773382647514e+08 -1.3442791636996901e+08 -1.3414260528204940e+08 -1.3382747146665509e+08 -1.3347780140728286e+08 -1.3308688426663770e+08 -1.3265047620109446e+08 -1.3216113712586434e+08 -1.3161176033415675e+08 -1.3099469823294294e+08 -1.3030206365119420e+08 -1.2952594582162383e+08 -1.2865904663245167e+08 -1.2769540853964175e+08 -1.2662821373898856e+08 -1.2545684893745185e+08 -1.2418402421650591e+08 -1.2281972412026230e+08 -1.2138093892423980e+08 -1.1990000957577179e+08 -1.1842639671455738e+08 -1.1703237218001792e+08 -1.1582619562901060e+08 -1.1495915112600775e+08 -1.1464875354741591e+08 -1.1520667481750421e+08 -1.1709080949193662e+08 -1.2099479038875064e+08 -1.2801758214375490e+08 -1.3999867005275202e+08 4.5492805336974762e+07 +4.6765588529509805e-01 -2.8438746831683356e+07 -2.8353048751806647e+07 -2.8207778165162191e+07 -2.8021053371688820e+07 -2.7840769356545161e+07 -2.7738470001373049e+07 -2.7745700338108551e+07 -2.7808976078554787e+07 -2.7874152554929893e+07 -2.7930558465142984e+07 -2.7984906054771680e+07 -2.8038265600149751e+07 -2.8089499520987317e+07 -2.8138360327894587e+07 -2.8185195656516749e+07 -2.8230023858884186e+07 -2.8272980997069139e+07 -2.8314625532205332e+07 -2.8355663050245985e+07 -2.8396843059909318e+07 -2.8438952792957250e+07 -2.8482644632333096e+07 -2.8527021895470705e+07 -2.8569950820422545e+07 -2.8619565731464162e+07 -2.8683395077736393e+07 -2.8758567919952236e+07 -2.8844176239969179e+07 -2.8941879400933780e+07 -2.9054054986079406e+07 -2.9183489239044663e+07 -2.9333405155337133e+07 -2.9507533260880079e+07 -2.9710195289632399e+07 -2.9946402900451150e+07 -3.0221967050255384e+07 -3.0543627658029616e+07 -3.0919200720715810e+07 -3.1357752277417187e+07 -3.1869792678057503e+07 -3.2515839629148513e+07 -3.3278469713788517e+07 -3.4178370271437317e+07 -3.5239815540805079e+07 -3.6491304736184798e+07 -3.7966309227500036e+07 -3.9704126408285007e+07 -4.1750794258231454e+07 -4.4159996873090997e+07 -4.6993422909285992e+07 -5.0321381929165557e+07 -5.4218668408815041e+07 -5.8759071490574546e+07 -6.4009284884116210e+07 -7.0006202010304183e+07 -7.6737284885245919e+07 -8.4112792094682485e+07 -9.1949409077375516e+07 -9.9971279599604592e+07 -1.0783676886002646e+08 -1.1519231979053450e+08 -1.2172999894434951e+08 -1.2723893873888546e+08 -1.3162481183950254e+08 -1.3490801158280542e+08 -1.3719646719676337e+08 -1.3864968169355720e+08 -1.3945327435568291e+08 -1.3978169482117793e+08 -1.3979238939357039e+08 -1.3961603578492469e+08 -1.3934324256265303e+08 -1.3903966036815223e+08 -1.3874409173223144e+08 -1.3846805159101456e+08 -1.3821779621913862e+08 -1.3798687105274916e+08 -1.3776777198688522e+08 -1.3755424172345504e+08 -1.3740151283761662e+08 -1.3724636094403639e+08 -1.3708763716740012e+08 -1.3692121067905700e+08 -1.3674945952650476e+08 -1.3656901456425974e+08 -1.3637835542549130e+08 -1.3617155953233820e+08 -1.3595021478295797e+08 -1.3571024108581021e+08 -1.3544845204107153e+08 -1.3516097581631806e+08 -1.3484345044902989e+08 -1.3449113024591535e+08 -1.3409723551608026e+08 -1.3365751521856360e+08 -1.3316446206379089e+08 -1.3261091539221272e+08 -1.3198916955221716e+08 -1.3129127749440011e+08 -1.3050926839530174e+08 -1.2963579221418384e+08 -1.2866482895224462e+08 -1.2758953313465725e+08 -1.2640927647854532e+08 -1.2512678964206406e+08 -1.2375213296700320e+08 -1.2230242571315219e+08 -1.2081025435372135e+08 -1.1932545821439387e+08 -1.1792084197888611e+08 -1.1670550930574410e+08 -1.1583188325078331e+08 -1.1551913310906710e+08 -1.1608129077037354e+08 -1.1797972848587058e+08 -1.2191334659779519e+08 -1.2898945784698734e+08 -1.4106149212840226e+08 4.6350847175509386e+07 +4.7262420806935612e-01 -2.9024626037011690e+07 -2.8939132611728452e+07 -2.8794237173084736e+07 -2.8608009781169552e+07 -2.8428219037192475e+07 -2.8326224518041331e+07 -2.8333488642917551e+07 -2.8396660270957462e+07 -2.8461735094285522e+07 -2.8518072259080559e+07 -2.8572369408102393e+07 -2.8625696904363271e+07 -2.8676923547716618e+07 -2.8725806140924346e+07 -2.8772695719865371e+07 -2.8817615707194313e+07 -2.8860707812490582e+07 -2.8902536306316294e+07 -2.8943813335947577e+07 -2.8985296382462949e+07 -2.9027782330732379e+07 -2.9071935558056206e+07 -2.9116879545370437e+07 -2.9160516455484625e+07 -2.9210999470205903e+07 -2.9275861102138139e+07 -2.9352257821271069e+07 -2.9439317306986731e+07 -2.9538737894320358e+07 -2.9652942143537749e+07 -2.9784768816183228e+07 -2.9937502131244544e+07 -3.0114943934711516e+07 -3.0321498870625798e+07 -3.0562274964183908e+07 -3.0843194909115970e+07 -3.1171128045946449e+07 -3.1554039994944125e+07 -3.2001169528286882e+07 -3.2523225929263271e+07 -3.3181899514047135e+07 -3.3959407860688984e+07 -3.4876815520476826e+07 -3.5958829897839502e+07 -3.7234444385891035e+07 -3.8737688713817202e+07 -4.0508481758959681e+07 -4.2593536392880745e+07 -4.5047239985082656e+07 -4.7931954714602970e+07 -5.1318550773021728e+07 -5.5282054551023163e+07 -5.9895888045204557e+07 -6.5225510592195801e+07 -7.1305205884268612e+07 -7.8118259547029391e+07 -8.5569231989503950e+07 -9.3468294391789854e+07 -1.0153350784859641e+08 -1.0941903291174264e+08 -1.1677014592494299e+08 -1.2328098482818136e+08 -1.2874538454959670e+08 -1.3307502882771407e+08 -1.3629641789774579e+08 -1.3852269940575761e+08 -1.3991721862182283e+08 -1.4066812025203973e+08 -1.4095112032309592e+08 -1.4092406536972433e+08 -1.4071747127640182e+08 -1.4042129545598888e+08 -1.4010037535330132e+08 -1.3979252143086892e+08 -1.3950813163227433e+08 -1.3925242593685287e+08 -1.3901794079664570e+08 -1.3879637387981740e+08 -1.3858092915731409e+08 -1.3842697596150643e+08 -1.3827063305667004e+08 -1.3811071357554087e+08 -1.3794304220152250e+08 -1.3777000916601476e+08 -1.3758822192934772e+08 -1.3739612975019097e+08 -1.3718779145315260e+08 -1.3696479572313717e+08 -1.3672303201316103e+08 -1.3645929014158779e+08 -1.3616966938064781e+08 -1.3584977521346313e+08 -1.3549483018421623e+08 -1.3509798586213562e+08 -1.3465498483316126e+08 -1.3415825291774285e+08 -1.3360057601605263e+08 -1.3297419096961796e+08 -1.3227109141953637e+08 -1.3148324705696456e+08 -1.3060325651070982e+08 -1.2962503739992833e+08 -1.2854171757004529e+08 -1.2735265357842627e+08 -1.2606059646452506e+08 -1.2467568164738445e+08 -1.2321515614551042e+08 -1.2171184962475272e+08 -1.2021597659513786e+08 -1.1880086904312809e+08 -1.1757646727751213e+08 -1.1669632223495276e+08 -1.1638124200201136e+08 -1.1694759582242158e+08 -1.1886020064035040e+08 -1.2282317431799039e+08 -1.2995209850334121e+08 -1.4211421452462363e+08 4.7214316813220240e+07 +4.7759253084361419e-01 -2.9615745280307207e+07 -2.9530453969873782e+07 -2.9385930655134968e+07 -2.9200195646290898e+07 -2.9020893316903822e+07 -2.8919201938273001e+07 -2.8926499166163649e+07 -2.8989568730193697e+07 -2.9054543864231020e+07 -2.9110813952985395e+07 -2.9165062312149484e+07 -2.9218359682107586e+07 -2.9269580979740214e+07 -2.9318487360845931e+07 -2.9365433381387126e+07 -2.9410447448740955e+07 -2.9453676992205612e+07 -2.9495692123061266e+07 -2.9537211632373329e+07 -2.9579001069692973e+07 -2.9621867001850262e+07 -2.9666485927725069e+07 -2.9712001555922579e+07 -2.9756352097103894e+07 -2.9807710004474528e+07 -2.9873612149825301e+07 -2.9951242463785224e+07 -3.0039764476008907e+07 -3.0140915764092464e+07 -3.0257164198244493e+07 -3.0391401431692280e+07 -3.0546973347539555e+07 -3.0727753610770106e+07 -3.0938230351523422e+07 -3.1183608614187900e+07 -3.1469923568398964e+07 -3.1804174807618245e+07 -3.2194478502551388e+07 -3.2650247178321630e+07 -3.3182390157672696e+07 -3.3853778041017674e+07 -3.4646266024644382e+07 -3.5581297307164259e+07 -3.6684013682398565e+07 -3.7983903473424919e+07 -3.9515554626637116e+07 -4.1319505797779337e+07 -4.3443140435628630e+07 -4.5941540675063767e+07 -4.8877727176479146e+07 -5.2323106224360362e+07 -5.6352898017403208e+07 -6.1040102487712398e+07 -6.6448873342144229e+07 -7.2610801975410149e+07 -7.9504920490632728e+07 -8.7030045120978773e+07 -9.4989846571663097e+07 -1.0309639307841483e+08 -1.1099979672143494e+08 -1.1834435457689674e+08 -1.2482644629893272e+08 -1.3024472545143688e+08 -1.3451693325001732e+08 -1.3767566277244020e+08 -1.3983922638608846e+08 -1.4117474106112999e+08 -1.4187280722650605e+08 -1.4211034825853658e+08 -1.4204556534379277e+08 -1.4180878084184432e+08 -1.4148928051557523e+08 -1.4115107699310917e+08 -1.4083098323665991e+08 -1.4053827951879463e+08 -1.4027715100040862e+08 -1.4003912738734034e+08 -1.3981511042693111e+08 -1.3959776736387023e+08 -1.3944260104286286e+08 -1.3928507834665039e+08 -1.3912397457694784e+08 -1.3895507026215497e+08 -1.3878076766237280e+08 -1.3859765116623220e+08 -1.3840413939082819e+08 -1.3819427351517889e+08 -1.3796964267132807e+08 -1.3772610614897659e+08 -1.3746043021318179e+08 -1.3716868551754066e+08 -1.3684644530315733e+08 -1.3648890076669174e+08 -1.3608913485096964e+08 -1.3564288459261781e+08 -1.3514250923711219e+08 -1.3458074175681278e+08 -1.3394976203842300e+08 -1.3324150498221770e+08 -1.3244788136492527e+08 -1.3156143908302580e+08 -1.3057603344728640e+08 -1.2948476661342290e+08 -1.2828697980942248e+08 -1.2698544426063314e+08 -1.2559036974285358e+08 -1.2411912980753545e+08 -1.2260479498018205e+08 -1.2109795145281541e+08 -1.1967245297401798e+08 -1.1843906914954513e+08 -1.1755246768680584e+08 -1.1723507983532956e+08 -1.1780558958081533e+08 -1.1973222555615471e+08 -1.2372427313673894e+08 -1.3090550367550179e+08 -1.4315683676244542e+08 4.8083145428142987e+07 +4.8256085361787227e-01 -3.0212075368333083e+07 -3.0126984347261455e+07 -2.9982828939557318e+07 -2.9797581733281773e+07 -2.9618763597656652e+07 -2.9517372403266467e+07 -2.9524703848413441e+07 -2.9587672503707573e+07 -2.9652549809693471e+07 -2.9708754537985794e+07 -2.9762956090022385e+07 -2.9816225229676552e+07 -2.9867443060639631e+07 -2.9916375243765347e+07 -2.9963379843844008e+07 -3.0008490228066187e+07 -3.0051859651287090e+07 -3.0094064054829929e+07 -3.0135828981856726e+07 -3.0177928120314322e+07 -3.0221177752933010e+07 -3.0266266630699594e+07 -3.0312358756843470e+07 -3.0357428504635654e+07 -3.0409668010224916e+07 -3.0476618794401478e+07 -3.0555492300216783e+07 -3.0645488057682674e+07 -3.0748383154780872e+07 -3.0866691099202633e+07 -3.1003356804795116e+07 -3.1161788253467437e+07 -3.1345931419577979e+07 -3.1560358487007488e+07 -3.1810372161058906e+07 -3.2102120813386228e+07 -3.2442735106105197e+07 -3.2840482668167315e+07 -3.3304950774599120e+07 -3.3847249864828423e+07 -3.4531438360415369e+07 -3.5339005714711279e+07 -3.6291775138212189e+07 -3.7415323946817063e+07 -3.8739636025685288e+07 -4.0299857240370832e+07 -4.2137144115135252e+07 -4.4299546093653299e+07 -4.6842831223784730e+07 -4.9830663181106642e+07 -5.3334959318622194e+07 -5.7431095060485378e+07 -6.2191593058090717e+07 -6.7679230300665513e+07 -7.3922824343437135e+07 -8.0897078838422671e+07 -8.8495023206065267e+07 -9.6513845342097431e+07 -1.0465971363247506e+08 -1.1257884911341174e+08 -1.1991475563081856e+08 -1.2636622149688669e+08 -1.3173683075557612e+08 -1.3595042461357248e+08 -1.3904567225378746e+08 -1.4114599578667203e+08 -1.4242221318424353e+08 -1.4306731146313033e+08 -1.4325936318264091e+08 -1.4315687950704262e+08 -1.4288995836334580e+08 -1.4254719398688859e+08 -1.4219176301576871e+08 -1.4185947578528962e+08 -1.4155849442025575e+08 -1.4129197087401226e+08 -1.4105043043786338e+08 -1.4082398130802470e+08 -1.4060475604896012e+08 -1.4044838779494187e+08 -1.4028969652977401e+08 -1.4012741988879165e+08 -1.3995729457885402e+08 -1.3978173473373991e+08 -1.3959730199349859e+08 -1.3940238406671795e+08 -1.3919100543814293e+08 -1.3896475534777170e+08 -1.3871946321408918e+08 -1.3845187197687325e+08 -1.3815802394846660e+08 -1.3783346044028190e+08 -1.3747334171613741e+08 -1.3707068220673740e+08 -1.3662121422166175e+08 -1.3611723074757734e+08 -1.3555141234146982e+08 -1.3491588248681840e+08 -1.3420251791216843e+08 -1.3340317105049279e+08 -1.3251033966418527e+08 -1.3151781682978711e+08 -1.3041868000222276e+08 -1.2921225491129483e+08 -1.2790133277281077e+08 -1.2649619699865352e+08 -1.2501434644748692e+08 -1.2348909017133471e+08 -1.2197138254193079e+08 -1.2053559352882372e+08 -1.1929331468189603e+08 -1.1840031936805274e+08 -1.1808064637120922e+08 -1.1865527180657876e+08 -1.2059580299029906e+08 -1.2461664280281085e+08 -1.3184967309735219e+08 -1.4418935855036744e+08 4.8957264509660348e+07 +4.8752917639213034e-01 -3.0813587174332079e+07 -3.0728694294623826e+07 -3.0584904198544990e+07 -3.0400139976476014e+07 -3.0221801380376343e+07 -3.0120707415132809e+07 -3.0128073511286825e+07 -3.0190943160245843e+07 -3.0255724204086561e+07 -3.0311865206005082e+07 -3.0366021729998190e+07 -3.0419264556672554e+07 -3.0470480768367980e+07 -3.0519440767695829e+07 -3.0566506015435301e+07 -3.0611714926874198e+07 -3.0655226650916159e+07 -3.0697622921490047e+07 -3.0739636172904450e+07 -3.0782048275513150e+07 -3.0825685276753694e+07 -3.0871248302681234e+07 -3.0917921724389248e+07 -3.0963716183156446e+07 -3.1016843907776706e+07 -3.1084851353870630e+07 -3.1164977526748993e+07 -3.1256458105433352e+07 -3.1361109952565588e+07 -3.1481492535716988e+07 -3.1620604393551052e+07 -3.1781916035064969e+07 -3.1969446226388302e+07 -3.2187851763699289e+07 -3.2442533644165270e+07 -3.2739754154419448e+07 -3.3086775825074513e+07 -3.3492018632000361e+07 -3.3965245573649853e+07 -3.4517769254427284e+07 -3.5214843315606378e+07 -3.6037588121957324e+07 -3.7008208189744964e+07 -3.8152717397723861e+07 -3.9501595706263341e+07 -4.1090546446317285e+07 -4.2961341896293662e+07 -4.5162692646218792e+07 -4.7751043463449910e+07 -5.0790685153474003e+07 -5.4354020636937723e+07 -5.8516541523925357e+07 -6.3350237701295011e+07 -6.8916438560928762e+07 -7.5241107344268486e+07 -8.2294546550199375e+07 -8.9963959494952142e+07 -9.8040072733848304e+07 -1.0622325087920988e+08 -1.1415598246466303e+08 -1.2148116275950919e+08 -1.2790015227559112e+08 -1.3322157315335312e+08 -1.3737540531373239e+08 -1.4040637473052102e+08 -1.4244295707753468e+08 -1.4365960053819028e+08 -1.4425161016326615e+08 -1.4439815039886498e+08 -1.4425799860600647e+08 -1.4396099814328000e+08 -1.4359503244517782e+08 -1.4322243141935256e+08 -1.4287799794434413e+08 -1.4256877571488133e+08 -1.4229688521779504e+08 -1.4205184975036168e+08 -1.4182298638892835e+08 -1.4160189510292533e+08 -1.4144433611461994e+08 -1.4128448750578493e+08 -1.4112104941169223e+08 -1.4094971505261135e+08 -1.4077291028139406e+08 -1.4058717431220850e+08 -1.4039086367947322e+08 -1.4017798712386224e+08 -1.3995013365420672e+08 -1.3970310311046702e+08 -1.3943361533493376e+08 -1.3913768457595277e+08 -1.3881082052773491e+08 -1.3844815293532628e+08 -1.3804262783262420e+08 -1.3758997362431398e+08 -1.3708241735342118e+08 -1.3651258767464173e+08 -1.3587255221962598e+08 -1.3515413011481762e+08 -1.3434911601940247e+08 -1.3344995816037588e+08 -1.3245038745473363e+08 -1.3134345764479712e+08 -1.3012847879350001e+08 -1.2880826191094124e+08 -1.2739316332561466e+08 -1.2590080597728735e+08 -1.2436473511109771e+08 -1.2283626977618980e+08 -1.2139029062290715e+08 -1.2013920379047987e+08 -1.1923987719519174e+08 -1.1891794152645755e+08 -1.1949664241591257e+08 -1.2145093285788661e+08 -1.2550028322834046e+08 -1.3278460667537078e+08 -1.4521177978505346e+08 4.9836605858131997e+07 +4.9249749916638841e-01 -3.1420251385997973e+07 -3.1335555078154448e+07 -3.1192125886526290e+07 -3.1007840484197479e+07 -3.0829977178894676e+07 -3.0729178668655392e+07 -3.0736578836557072e+07 -3.0799351182040416e+07 -3.0864038093681108e+07 -3.0920117010011822e+07 -3.0974230086011399e+07 -3.1027448346599568e+07 -3.1078664853966583e+07 -3.1127654594070349e+07 -3.1174782532841679e+07 -3.1220092177361507e+07 -3.1263748592348579e+07 -3.1306339296024006e+07 -3.1348603740390785e+07 -3.1391332020054851e+07 -3.1435360014114276e+07 -3.1481401328493249e+07 -3.1528660782955810e+07 -3.1575185385458149e+07 -3.1629207863853987e+07 -3.1698279892360032e+07 -3.1779668084634587e+07 -3.1872644417074379e+07 -3.1979065787222311e+07 -3.2101537939212259e+07 -3.2243113396670744e+07 -3.2407325617064834e+07 -3.2598266632951546e+07 -3.2820678402156100e+07 -3.3080060833656993e+07 -3.3382790828916930e+07 -3.3736263570965096e+07 -3.4149052251763694e+07 -3.4631096543333299e+07 -3.5193912234536536e+07 -3.5903955445208803e+07 -3.6741974122157350e+07 -3.7730555309824586e+07 -3.8896150398968816e+07 -4.0269735818944424e+07 -4.1887571756569691e+07 -4.3792043926048115e+07 -4.6032518950198799e+07 -4.8666108784540124e+07 -5.1757715066242374e+07 -5.5380200317199767e+07 -5.9609132856657863e+07 -6.4515914084779337e+07 -7.0160355162893504e+07 -7.6565485650730044e+07 -8.3697136440974638e+07 -9.1436648778459832e+07 -9.9568313072647601e+07 -1.0778678917944351e+08 -1.1573099264795801e+08 -1.2304339334874547e+08 -1.2942808411370924e+08 -1.3469882862563387e+08 -1.3879178055119500e+08 -1.4175770086196637e+08 -1.4373006149321085e+08 -1.4488687000099051e+08 -1.4542568151417530e+08 -1.4552669593788809e+08 -1.4534891392828709e+08 -1.4502189489603329e+08 -1.4463279279048008e+08 -1.4424308046950158e+08 -1.4388654881237268e+08 -1.4356912299066043e+08 -1.4329189388869894e+08 -1.4304338531710145e+08 -1.4281212572297448e+08 -1.4258918460233265e+08 -1.4243044608434486e+08 -1.4226945135960129e+08 -1.4210486323150751e+08 -1.4193233176905930e+08 -1.4175429439117113e+08 -1.4156726820791960e+08 -1.4136957831513745e+08 -1.4115521865784946e+08 -1.4092577767632374e+08 -1.4067702592335939e+08 -1.4040566037239861e+08 -1.4010766748482701e+08 -1.3977852565003628e+08 -1.3941333450846738e+08 -1.3900497181310070e+08 -1.3854916288454881e+08 -1.3803806913818768e+08 -1.3746426783931580e+08 -1.3681977131995720e+08 -1.3609634167237139e+08 -1.3528571635357404e+08 -1.3438029465285024e+08 -1.3337374540323520e+08 -1.3225909962133862e+08 -1.3103565153503098e+08 -1.2970623175374320e+08 -1.2828126880163486e+08 -1.2677850847397874e+08 -1.2523172987554331e+08 -1.2369261323036502e+08 -1.2223654433055334e+08 -1.2097673654894666e+08 -1.2007114124142762e+08 -1.1974696537361540e+08 -1.2032970148180196e+08 -1.2229761523296063e+08 -1.2637519448976846e+08 -1.3371030449001347e+08 -1.4622410055438605e+08 5.0721101584521793e+07 +4.9746582194064648e-01 -3.2032038128557537e+07 -3.1947536417683341e+07 -3.1804464944239385e+07 -3.1620654233310647e+07 -3.1443261531672142e+07 -3.1342755720436811e+07 -3.1350190629192304e+07 -3.1412867518212557e+07 -3.1477461830949266e+07 -3.1533480360295959e+07 -3.1587551752596386e+07 -3.1640747112418789e+07 -3.1691965744973198e+07 -3.1740987138542969e+07 -3.1788179810121410e+07 -3.1833592379497651e+07 -3.1877395817845531e+07 -3.1920183504942119e+07 -3.1962701966625873e+07 -3.2005749585310012e+07 -3.2050172155409761e+07 -3.2096695844066892e+07 -3.2144546006717753e+07 -3.2191806113396510e+07 -3.2246729793259386e+07 -3.2316874221820824e+07 -3.2399533662097350e+07 -3.2494016536608033e+07 -3.2602220033497278e+07 -3.2726796484910719e+07 -3.2870852755130637e+07 -3.3037985664642543e+07 -3.3232360979184605e+07 -3.3458806358562697e+07 -3.3722921232328489e+07 -3.4031197803238347e+07 -3.4391164674732342e+07 -3.4811549104737222e+07 -3.5302468365239255e+07 -3.5875642419739299e+07 -3.6598736985594288e+07 -3.7452124278223634e+07 -3.8458775021301143e+07 -3.9645578974759042e+07 -4.1044009311185457e+07 -4.2690882307848766e+07 -4.4629194593275547e+07 -4.6908963445699565e+07 -4.9587958142749071e+07 -5.2731674448141009e+07 -5.6413408064991020e+07 -6.0708764126722939e+07 -6.5688499615489103e+07 -7.1410837112514168e+07 -7.7895794272750303e+07 -8.5104662196985602e+07 -9.2912887394107148e+07 -1.0109835296899273e+08 -1.0935011585355496e+08 -1.1730367897632530e+08 -1.2460126842175363e+08 -1.3094986602977610e+08 -1.3616847635768637e+08 -1.4019945825156915e+08 -1.4309958350965837e+08 -1.4500726197795287e+08 -1.4610398973977438e+08 -1.4658950465985784e+08 -1.4664498653753376e+08 -1.4642961728964537e+08 -1.4607264373994234e+08 -1.4566047224288210e+08 -1.4525370869723675e+08 -1.4488512771889415e+08 -1.4455953604485139e+08 -1.4427699694166830e+08 -1.4402503732272103e+08 -1.4379139955192465e+08 -1.4356662481101942e+08 -1.4340671797397903e+08 -1.4324458836301669e+08 -1.4307886162020138e+08 -1.4290514500053716e+08 -1.4272588733474767e+08 -1.4253758395185256e+08 -1.4233852824464545e+08 -1.4212270031099984e+08 -1.4189168768414623e+08 -1.4164123192260039e+08 -1.4136800735847202e+08 -1.4106797294386613e+08 -1.4073657607507220e+08 -1.4036888670261720e+08 -1.3995771441500556e+08 -1.3949878226805091e+08 -1.3898418636683792e+08 -1.3840645309957173e+08 -1.3775754005010360e+08 -1.3702915284613961e+08 -1.3621297231279874e+08 -1.3530134939938414e+08 -1.3428789093131542e+08 -1.3316560618579759e+08 -1.3193377338780370e+08 -1.3059524255036287e+08 -1.2916051367301534e+08 -1.2764745418058567e+08 -1.2609007470494036e+08 -1.2454041314179420e+08 -1.2307435488656314e+08 -1.2180591318952274e+08 -1.2089411173723944e+08 -1.2056771814252031e+08 -1.2115444923515226e+08 -1.2313585035008450e+08 -1.2724137682946156e+08 -1.3462676679735714e+08 -1.4722632113777706e+08 5.1610684110020965e+07 +5.0243414471490455e-01 -3.2648918019236080e+07 -3.2564608475618746e+07 -3.2421891890992012e+07 -3.2238550862126078e+07 -3.2061625115490198e+07 -3.1961409556986276e+07 -3.1968879276080094e+07 -3.2031462355211556e+07 -3.2095965627879966e+07 -3.2151925553749580e+07 -3.2205956863470159e+07 -3.2259131087861661e+07 -3.2310353653270785e+07 -3.2359408610834803e+07 -3.2406668031436868e+07 -3.2452185688990731e+07 -3.2496138424542990e+07 -3.2539125625425059e+07 -3.2581900883805029e+07 -3.2625270953762636e+07 -3.2670091641820475e+07 -3.2717101737609781e+07 -3.2765547220662374e+07 -3.2813548119884267e+07 -3.2869379361088660e+07 -3.2940603903880719e+07 -3.3024543696040992e+07 -3.3120543755903427e+07 -3.3230541813017000e+07 -3.3357237093675938e+07 -3.3503791154098775e+07 -3.3673864585181721e+07 -3.3871697345215231e+07 -3.4102203326674655e+07 -3.4371082077311322e+07 -3.4684941774602935e+07 -3.5051445194071442e+07 -3.5479474489835493e+07 -3.5979325436629020e+07 -3.6562923133492589e+07 -3.7299149873154879e+07 -3.8167998842825450e+07 -3.9192825524672255e+07 -4.0400958812646478e+07 -4.1824368777478382e+07 -4.3500426865675583e+07 -4.5472737895656876e+07 -4.7791964161772259e+07 -5.0516522065779075e+07 -5.3712484392789811e+07 -5.7453553164751358e+07 -6.1815330035301194e+07 -6.6867871456865415e+07 -7.2667741401795879e+07 -7.9231868577287242e+07 -8.6516938391958341e+07 -9.4392473232176453e+07 -1.0262998130700025e+08 -1.1091302114907610e+08 -1.1887384414770408e+08 -1.2615461256735699e+08 -1.3246535049965529e+08 -1.3763039865405422e+08 -1.4159834898811001e+08 -1.4443195767226347e+08 -1.4627451313302237e+08 -1.4731092917197955e+08 -1.4774305967237645e+08 -1.4775300962324134e+08 -1.4750010102110833e+08 -1.4711324018963480e+08 -1.4667806833861426e+08 -1.4625431489718503e+08 -1.4587373422367746e+08 -1.4554001488544825e+08 -1.4525219463042149e+08 -1.4499680614402986e+08 -1.4476080830814013e+08 -1.4453421618197063e+08 -1.4437315224132836e+08 -1.4420989897567403e+08 -1.4404304503780600e+08 -1.4386815520660630e+08 -1.4368768957122523e+08 -1.4349812200229377e+08 -1.4329771392632210e+08 -1.4308043254075563e+08 -1.4284786413467357e+08 -1.4259572156405810e+08 -1.4232065674820888e+08 -1.4201860140676570e+08 -1.4168497225581676e+08 -1.4131480996933913e+08 -1.4090085608878496e+08 -1.4043883222404051e+08 -1.3992076948666251e+08 -1.3933914390077770e+08 -1.3868585885358351e+08 -1.3795256407705706e+08 -1.3713088433520931e+08 -1.3621312283513898e+08 -1.3519282447117692e+08 -1.3406297776690005e+08 -1.3282284477633823e+08 -1.3147529472106518e+08 -1.3003089835539222e+08 -1.2850764350829622e+08 -1.2693977000510888e+08 -1.2537966991134481e+08 -1.2390372268724488e+08 -1.2262673410459127e+08 -1.2170878907172869e+08 -1.2138020022119275e+08 -1.2197088606566693e+08 -1.2396563860565084e+08 -1.2809883065691273e+08 -1.3553399403011647e+08 -1.4821844200830907e+08 5.2505286165668301e+07 +5.0740246748916262e-01 -3.3270860399578102e+07 -3.3186741533869915e+07 -3.3044376203092285e+07 -3.2861501155132812e+07 -3.2685037681620084e+07 -3.2585110144064419e+07 -3.2592615257730488e+07 -3.2655105718372170e+07 -3.2719519856072623e+07 -3.2775422604237542e+07 -3.2829415502617463e+07 -3.2882570283680905e+07 -3.2933798576394275e+07 -3.2982888996460613e+07 -3.3030217129408937e+07 -3.3075841997358091e+07 -3.3119946274724457e+07 -3.3163135483791769e+07 -3.3206170276925594e+07 -3.3249865863145750e+07 -3.3295088167143390e+07 -3.3342588650511310e+07 -3.3391634001696892e+07 -3.3440380910109632e+07 -3.3497125984328985e+07 -3.3569438251410805e+07 -3.3654667373932503e+07 -3.3752195116538212e+07 -3.3863999996011630e+07 -3.3992828433748007e+07 -3.4141897024693228e+07 -3.4314930530133300e+07 -3.4516243553014882e+07 -3.4750836739605293e+07 -3.5024510342218451e+07 -3.5343989173058018e+07 -3.5717070915206872e+07 -3.6152793429644115e+07 -3.6661631872671701e+07 -3.7255717410328731e+07 -3.8005155746849209e+07 -3.8889557760941945e+07 -3.9932664700790212e+07 -4.1162245266753621e+07 -4.2610766462851860e+07 -4.4316153828201897e+07 -4.6322617444447108e+07 -4.8681458721901305e+07 -5.1451730660429835e+07 -5.4700065567364842e+07 -5.8500544490462437e+07 -6.2928724930059932e+07 -6.8053906545459166e+07 -7.3930925027491525e+07 -8.0573544307526633e+07 -8.7933780502090380e+07 -9.5875205741065025e+07 -1.0416298923349679e+08 -1.1247529820832641e+08 -1.2044129419196822e+08 -1.2770325386871670e+08 -1.3397439337632918e+08 -1.3908448085871673e+08 -1.4298836590864107e+08 -1.4575476042152438e+08 -1.4753177116713852e+08 -1.4850765892701840e+08 -1.4888632752489513e+08 -1.4885075328972086e+08 -1.4856035795742801e+08 -1.4814368014878213e+08 -1.4768557892615461e+08 -1.4724489812591845e+08 -1.4685236811640367e+08 -1.4651055973065543e+08 -1.4621748740844622e+08 -1.4595869235263306e+08 -1.4572035261534289e+08 -1.4549195935845390e+08 -1.4532974953443071e+08 -1.4516538384687030e+08 -1.4499741413368329e+08 -1.4482136303592896e+08 -1.4463970174858785e+08 -1.4444888300622165e+08 -1.4424713600646597e+08 -1.4402841599246654e+08 -1.4379430767191225e+08 -1.4354049549067473e+08 -1.4326360918327764e+08 -1.4295955351412672e+08 -1.4262371483108923e+08 -1.4225110494564927e+08 -1.4183439747001937e+08 -1.4136931338587904e+08 -1.4084781912878916e+08 -1.4026234087132350e+08 -1.3960472835571706e+08 -1.3886657598717532e+08 -1.3803945303907466e+08 -1.3711561557412022e+08 -1.3608854663309398e+08 -1.3495121496948212e+08 -1.3370286630004172e+08 -1.3234638885903959e+08 -1.3089242343538691e+08 -1.2935907703646450e+08 -1.2778081634866230e+08 -1.2621038410405961e+08 -1.2472464829170470e+08 -1.2343919984717573e+08 -1.2251517379425353e+08 -1.2218441215714830e+08 -1.2277901252367231e+08 -1.2478698055871709e+08 -1.2894755654965772e+08 -1.3643198679928318e+08 -1.4920046383361077e+08 5.3404840791966625e+07 +5.1237079026342069e-01 -3.3897835031038322e+07 -3.3813905079300582e+07 -3.3671888170249760e+07 -3.3489474326788131e+07 -3.3313469329036359e+07 -3.3213827544092640e+07 -3.3221367663556751e+07 -3.3283767499837447e+07 -3.3348094281980291e+07 -3.3403941335966635e+07 -3.3457897451068193e+07 -3.3511034523809433e+07 -3.3562270298291810e+07 -3.3611398013169646e+07 -3.3658796790229522e+07 -3.3704530937637813e+07 -3.3748788992272779e+07 -3.3792182657368317e+07 -3.3835479686542332e+07 -3.3879503809457280e+07 -3.3925131179597944e+07 -3.3973125978043102e+07 -3.4022775680312447e+07 -3.4072273743328460e+07 -3.4129938833948009e+07 -3.4203346330258496e+07 -3.4289873635522909e+07 -3.4388939411418013e+07 -3.4502563202937566e+07 -3.4633538922484517e+07 -3.4785138545645006e+07 -3.4961151396807052e+07 -3.5165967168383412e+07 -3.5404673771712236e+07 -3.5683172738885544e+07 -3.6008306163371161e+07 -3.6388007355077125e+07 -3.6831470672512382e+07 -3.7349351508566909e+07 -3.7953987998175628e+07 -3.8716715950365171e+07 -3.9616760672478795e+07 -4.0678250113689810e+07 -4.1929393360758431e+07 -4.3403154266432248e+07 -4.5138011230312362e+07 -4.7178776468979418e+07 -4.9577384349713139e+07 -5.2393513619373724e+07 -5.5694338221138395e+07 -5.9554290516744830e+07 -6.4048842819240026e+07 -6.9246481607529953e+07 -7.5200245010012880e+07 -8.1920657601862088e+07 -8.9355004921084881e+07 -9.7360885931912884e+07 -1.0569717014642988e+08 -1.1403674303677814e+08 -1.2200583841778299e+08 -1.2924702383423910e+08 -1.3547685381242809e+08 -1.4053061127674305e+08 -1.4436942466265497e+08 -1.4706793084277424e+08 -1.4877899384793252e+08 -1.4969415081073359e+08 -1.5001929006638888e+08 -1.4993820628304783e+08 -1.4961038142501137e+08 -1.4916395990287495e+08 -1.4868300216214159e+08 -1.4822545769951111e+08 -1.4782102941611537e+08 -1.4747117100975400e+08 -1.4717287592972896e+08 -1.4691069671489748e+08 -1.4667003328941232e+08 -1.4643985517473969e+08 -1.4627651069189104e+08 -1.4611104381625172e+08 -1.4594196974739182e+08 -1.4576476932710415e+08 -1.4558192470433158e+08 -1.4538986779980001e+08 -1.4518679532075331e+08 -1.4496665150031397e+08 -1.4473101912892348e+08 -1.4447555453400490e+08 -1.4419686549352747e+08 -1.4389083009403947e+08 -1.4355280462691733e+08 -1.4317777245520833e+08 -1.4275833938039264e+08 -1.4229022657254350e+08 -1.4176533610913566e+08 -1.4117604482367441e+08 -1.4051414936524570e+08 -1.3977118938101408e+08 -1.3893867922433451e+08 -1.3800882841051304e+08 -1.3697505820527658e+08 -1.3583031857540470e+08 -1.3457383873344907e+08 -1.3320852573081124e+08 -1.3174508967126183e+08 -1.3020175551479034e+08 -1.2861321447577888e+08 -1.2703255645109902e+08 -1.2553713242261130e+08 -1.2424331113276283e+08 -1.2331326661445242e+08 -1.2298035465807877e+08 -1.2357882932026450e+08 -1.2559987693233265e+08 -1.2978755525468430e+08 -1.3732074589473820e+08 -1.5017238747753808e+08 5.4309281338495865e+07 +5.1733911303767877e-01 -3.4529811546647690e+07 -3.4446068618708856e+07 -3.4304396602499478e+07 -3.4122440132676236e+07 -3.3946889597415000e+07 -3.3847530834935814e+07 -3.3855106910607211e+07 -3.3917417393240415e+07 -3.3981658462810889e+07 -3.4037451375430383e+07 -3.4091372222941123e+07 -3.4144493308975488e+07 -3.4195738327258065e+07 -3.4244905113410689e+07 -3.4292376458564349e+07 -3.4338221905016042e+07 -3.4382635955263481e+07 -3.4426236477909014e+07 -3.4469798410860360e+07 -3.4514154048597038e+07 -3.4560189883981071e+07 -3.4608682870858178e+07 -3.4658941342283897e+07 -3.4709195634440154e+07 -3.4767786836426266e+07 -3.4842296960922331e+07 -3.4930131174752973e+07 -3.5030745186636724e+07 -3.5146199806378730e+07 -3.5279336728134423e+07 -3.5433483645261101e+07 -3.5612494830180913e+07 -3.5820835502709113e+07 -3.6063681340526283e+07 -3.6347035719417639e+07 -3.6677858647080511e+07 -3.7064219763195194e+07 -3.7515470694671825e+07 -3.8042447901720420e+07 -3.8657697360456355e+07 -3.9433791534874193e+07 -4.0349566914725177e+07 -4.1429539013441496e+07 -4.2702357791118011e+07 -4.4201483744936578e+07 -4.5965946747611970e+07 -4.8041157821532376e+07 -5.0479677874627084e+07 -5.3341800228229247e+07 -5.6695222194252744e+07 -6.0614699329717599e+07 -6.5175577385037243e+07 -7.0445473175527662e+07 -7.6475558411887318e+07 -8.3273045011993840e+07 -9.0780428974352717e+07 -9.8849316382824346e+07 -1.0723231968303943e+08 -1.1559715447114410e+08 -1.2356728936165407e+08 -1.3078575733077374e+08 -1.3697259418450800e+08 -1.4196868109884125e+08 -1.4574144333381844e+08 -1.4837140997598383e+08 -1.5001614045575598e+08 -1.5087037777024895e+08 -1.5114192999559239e+08 -1.5101535798441464e+08 -1.5065016523185468e+08 -1.5017407611289579e+08 -1.4967033650730109e+08 -1.4919599319261429e+08 -1.4877971837090316e+08 -1.4842184936360249e+08 -1.4811836104976985e+08 -1.4785282019339347e+08 -1.4760985134040809e+08 -1.4737790465786415e+08 -1.4721343674461311e+08 -1.4704687991568202e+08 -1.4687671290976864e+08 -1.4669837511037174e+08 -1.4651435946734804e+08 -1.4632107741050434e+08 -1.4611669289526883e+08 -1.4589514008905908e+08 -1.4565799952858847e+08 -1.4540089971509412e+08 -1.4512042669812968e+08 -1.4481243216306588e+08 -1.4447224265783408e+08 -1.4409481350968844e+08 -1.4367268282915160e+08 -1.4320157278985038e+08 -1.4267332142978147e+08 -1.4208025675583661e+08 -1.4141412287533301e+08 -1.4066640524621215e+08 -1.3982856387258285e+08 -1.3889276231954849e+08 -1.3785236015613800e+08 -1.3670028954488379e+08 -1.3543576302786350e+08 -1.3406170627830860e+08 -1.3258889799428609e+08 -1.3103567986331302e+08 -1.2943696529559250e+08 -1.2784618785016072e+08 -1.2634117596754330e+08 -1.2503906883956197e+08 -1.2410306840425357e+08 -1.2376802859332637e+08 -1.2437033732880543e+08 -1.2640432861401364e+08 -1.3061882768919423e+08 -1.3820027228662404e+08 -1.5113421400103551e+08 5.5218541463522881e+07 +5.2230743581193684e-01 -3.5166758977870174e+07 -3.5083201144037075e+07 -3.4941871048813507e+07 -3.4760368037335642e+07 -3.4585267614551708e+07 -3.4486190185273387e+07 -3.4493801903375313e+07 -3.4556024818861879e+07 -3.4620181597013131e+07 -3.4675922019043848e+07 -3.4729809140382260e+07 -3.4782915858787037e+07 -3.4834171874998420e+07 -3.4883379507706352e+07 -3.4930925333697259e+07 -3.4976884064148776e+07 -3.5021456293927841e+07 -3.5065266035289705e+07 -3.5109095506757453e+07 -3.5153785597029060e+07 -3.5200233243547350e+07 -3.5249228236622535e+07 -3.5300099830963925e+07 -3.5351115355571322e+07 -3.5410638675530545e+07 -3.5486258720166974e+07 -3.5575408441369392e+07 -3.5677580743225932e+07 -3.5794877932752177e+07 -3.5930189771760628e+07 -3.6086900003085561e+07 -3.6268928224754140e+07 -3.6480815614815354e+07 -3.6727826108511381e+07 -3.7016065477905050e+07 -3.7352612264428675e+07 -3.7745673123833127e+07 -3.8204757702304706e+07 -3.8740884334013946e+07 -3.9366807678733759e+07 -4.0156343261176616e+07 -4.1087935525208302e+07 -4.2186488338975564e+07 -4.3481092930122077e+07 -4.5005706116179660e+07 -4.6799907700537086e+07 -4.8909703982162595e+07 -5.1388275737627476e+07 -5.4296519372359678e+07 -5.7702636926407650e+07 -6.1681678637686342e+07 -6.6308821996917464e+07 -7.1650757603965789e+07 -7.7756722355676368e+07 -8.4630543521147981e+07 -9.2209870932319745e+07 -1.0034030124292508e+08 -1.0876823570809251e+08 -1.1715633414802118e+08 -1.2512546273618345e+08 -1.3231929251793329e+08 -1.3846148002001739e+08 -1.4339858432858589e+08 -1.4710434237309924e+08 -1.4966514076063228e+08 -1.5124317174030837e+08 -1.5203631386141297e+08 -1.5225423083925131e+08 -1.5208219839328077e+08 -1.5167970365638876e+08 -1.5117402580891857e+08 -1.5064758072373271e+08 -1.5015650443631309e+08 -1.4972843545747212e+08 -1.4936259564426470e+08 -1.4905394382595608e+08 -1.4878506394765183e+08 -1.4853980797267815e+08 -1.4830610902831295e+08 -1.4814052891641548e+08 -1.4797289336929598e+08 -1.4780164484453970e+08 -1.4762218160780370e+08 -1.4743700725831813e+08 -1.4724251305720735e+08 -1.4703682994799244e+08 -1.4681388297447461e+08 -1.4657525008467481e+08 -1.4631653224568874e+08 -1.4603429400621739e+08 -1.4572436092816904e+08 -1.4538203012760419e+08 -1.4500222930951837e+08 -1.4457742901349968e+08 -1.4410335323116210e+08 -1.4357177627967340e+08 -1.4297497785171327e+08 -1.4230465006433132e+08 -1.4155222475519508e+08 -1.4070910814923230e+08 -1.3976741845832410e+08 -1.3872045363466242e+08 -1.3756112901716584e+08 -1.3628864031194118e+08 -1.3490593161856589e+08 -1.3342384950947636e+08 -1.3186085117425464e+08 -1.3025206988657488e+08 -1.2865127936653171e+08 -1.2713677997949705e+08 -1.2582647400985764e+08 -1.2488458019784275e+08 -1.2454743499409251e+08 -1.2515353758567612e+08 -1.2720033665729955e+08 -1.3144137494166973e+08 -1.3907056712627006e+08 -1.5208594466291746e+08 5.6132555133607790e+07 +5.2727575858619491e-01 -3.5808646139092892e+07 -3.5725271795048796e+07 -3.5584280630805008e+07 -3.5403226668401681e+07 -3.5228572677506678e+07 -3.5129774143356226e+07 -3.5137421897329450e+07 -3.5199558562567569e+07 -3.5263632845402054e+07 -3.5319322261355832e+07 -3.5373177279544182e+07 -3.5426271225157395e+07 -3.5477539927330822e+07 -3.5526790166878067e+07 -3.5574412360400639e+07 -3.5620486342282884e+07 -3.5665218893233404e+07 -3.5709240181793354e+07 -3.5753339790751927e+07 -3.5798367232330739e+07 -3.5845229981653623e+07 -3.5894730741996914e+07 -3.5946219749495253e+07 -3.5998001437901884e+07 -3.6058462793998227e+07 -3.6135199942582242e+07 -3.6225673642864384e+07 -3.6329414138944663e+07 -3.6448565464152314e+07 -3.6586065728891067e+07 -3.6745355051740691e+07 -3.6930418726416193e+07 -3.7145874312887654e+07 -3.7397074485156119e+07 -3.7690227952680431e+07 -3.8032532396380663e+07 -3.8432332157896765e+07 -3.8899295633675776e+07 -3.9444623813879065e+07 -4.0081280854608335e+07 -4.0884331602278635e+07 -4.1831825244218677e+07 -4.2949054721067585e+07 -4.4265552829157598e+07 -4.5815772262577936e+07 -4.7639841058317386e+07 -4.9784357063210979e+07 -5.2303113996739969e+07 -5.5257599544052824e+07 -5.8716501465321451e+07 -6.2755135782239564e+07 -6.7448469725183845e+07 -7.2862211085863993e+07 -7.9043594042419598e+07 -8.5992990561524391e+07 -9.3643150023835123e+07 -1.0183364623513804e+08 -1.1030471830170216e+08 -1.1871408647312872e+08 -1.2668017738175449e+08 -1.3384747078407617e+08 -1.3994337992651644e+08 -1.4482021771212482e+08 -1.4845804453490815e+08 -1.5094906798159495e+08 -1.5246004987724578e+08 -1.5319193421655941e+08 -1.5335617692810795e+08 -1.5313871811293295e+08 -1.5269899143780112e+08 -1.5216380638374093e+08 -1.5161473387090966e+08 -1.5110699151669410e+08 -1.5066718138024127e+08 -1.5029341091616416e+08 -1.4997962551846373e+08 -1.4970742933527458e+08 -1.4945990458620924e+08 -1.4922446970118573e+08 -1.4905778862526560e+08 -1.4888908559539476e+08 -1.4871676696889690e+08 -1.4853619023509493e+08 -1.4834986949120811e+08 -1.4815417615173453e+08 -1.4794720788872117e+08 -1.4772288156459826e+08 -1.4748277220294338e+08 -1.4722245352874964e+08 -1.4693846881830069e+08 -1.4662661778674790e+08 -1.4628216843033528e+08 -1.4590002124498740e+08 -1.4547257932011136e+08 -1.4499556927859542e+08 -1.4446070203572747e+08 -1.4386020948252523e+08 -1.4318573229718500e+08 -1.4242864926543802e+08 -1.4158031340364066e+08 -1.4063279816706169e+08 -1.3957933997140804e+08 -1.3841283831187892e+08 -1.3713247189304009e+08 -1.3574120304570556e+08 -1.3424994549657199e+08 -1.3267727071221408e+08 -1.3105852949819113e+08 -1.2944783223378731e+08 -1.2792394567811687e+08 -1.2660552785055681e+08 -1.2565780319327980e+08 -1.2531857505509917e+08 -1.2592843129133724e+08 -1.2798790228190349e+08 -1.3225519827263524e+08 -1.3993163174727681e+08 -1.5302758092165852e+08 5.7051256623206660e+07 +5.3224408136045298e-01 -3.6455441754472218e+07 -3.6372249423881263e+07 -3.6231594074919470e+07 -3.6050985338841274e+07 -3.5876773873138733e+07 -3.5778251958453335e+07 -3.5785935815681972e+07 -3.5847987894970722e+07 -3.5911981249869630e+07 -3.5967620998037040e+07 -3.6021445435530633e+07 -3.6074528254283071e+07 -3.6125811252918415e+07 -3.6175105843749210e+07 -3.6222806234694339e+07 -3.6268997421785064e+07 -3.6313892396376275e+07 -3.6358127534148820e+07 -3.6402499839965142e+07 -3.6447867493520118e+07 -3.6495148583248496e+07 -3.6545158815029301e+07 -3.6597269462984532e+07 -3.6649822173405878e+07 -3.6711227395108551e+07 -3.6789088722660869e+07 -3.6880894746079326e+07 -3.6986213190056331e+07 -3.7107230040171273e+07 -3.7246932031439699e+07 -3.7408815978805974e+07 -3.7596933234321065e+07 -3.7815978156345643e+07 -3.8071392628748804e+07 -3.8369488827962540e+07 -3.8717584166574351e+07 -3.9124161325223938e+07 -3.9599048161285385e+07 -4.0153629078713059e+07 -4.0801078512348510e+07 -4.1617716745932318e+07 -4.2581194517378069e+07 -4.3717194484988138e+07 -4.5055691221851468e+07 -4.6631632734976806e+07 -4.8485693443221673e+07 -5.0665058814340457e+07 -5.3224128333044715e+07 -5.6224968849277571e+07 -5.9736734475564346e+07 -6.3834977748752378e+07 -6.8594413354307041e+07 -7.4079709668180600e+07 -8.0336030768491194e+07 -8.7360224031011045e+07 -9.5080086448777258e+07 -1.0332915865926003e+08 -1.1184156974697042e+08 -1.2027021859020931e+08 -1.2823125521642020e+08 -1.3537013668411434e+08 -1.4141816552273208e+08 -1.4623348066965383e+08 -1.4980247481567287e+08 -1.5222313821743765e+08 -1.5366673842837614e+08 -1.5433721501515150e+08 -1.5444775337619355e+08 -1.5418490833525109e+08 -1.5370802376677632e+08 -1.5314341558764496e+08 -1.5257179530262405e+08 -1.5204745477315980e+08 -1.5159595707186112e+08 -1.5121429645544419e+08 -1.5089540759058639e+08 -1.5061991791249862e+08 -1.5037014277750763e+08 -1.5013298828681189e+08 -1.4996521748412797e+08 -1.4979545820681983e+08 -1.4962208089431673e+08 -1.4944040260194257e+08 -1.4925294777360350e+08 -1.4905606829944929e+08 -1.4884782832150719e+08 -1.4862213746063647e+08 -1.4838056748196161e+08 -1.4811866516030416e+08 -1.4783295272708204e+08 -1.4751920432780096e+08 -1.4717265915155172e+08 -1.4678819089750960e+08 -1.4635813532593170e+08 -1.4587822250393018e+08 -1.4534010026386508e+08 -1.4473595320761135e+08 -1.4405737112578589e+08 -1.4329568032074463e+08 -1.4244218117033949e+08 -1.4148890297000414e+08 -1.4042902067949486e+08 -1.3925541892923179e+08 -1.3796725925757733e+08 -1.3656752203099060e+08 -1.3506718741064975e+08 -1.3348493991537602e+08 -1.3185634555088431e+08 -1.3023584785496750e+08 -1.2870267445014991e+08 -1.2737623173410247e+08 -1.2642273875257328e+08 -1.2608145013454822e+08 -1.2669501981036964e+08 -1.2876702687529157e+08 -1.3306029911544207e+08 -1.4078346766594884e+08 -1.5395912443598318e+08 5.7974580514271520e+07 +5.3721240413471105e-01 -3.7107114500739984e+07 -3.7024102280264840e+07 -3.6883779472673476e+07 -3.6703612282686092e+07 -3.6529839636755660e+07 -3.6431592123106152e+07 -3.6439312443926275e+07 -3.6501281171480075e+07 -3.6565195182650127e+07 -3.6620786786974810e+07 -3.6674582139477789e+07 -3.6727655471661434e+07 -3.6778954388221189e+07 -3.6828295060874239e+07 -3.6876075415942378e+07 -3.6922385743850365e+07 -3.6967445210845232e+07 -3.7011896474154830e+07 -3.7056543993962429e+07 -3.7102254681446470e+07 -3.7149957296601698e+07 -3.7200480647203401e+07 -3.7253217100362740e+07 -3.7306545616673902e+07 -3.7368900444539674e+07 -3.7447892916253276e+07 -3.7541039479007982e+07 -3.7647945473127477e+07 -3.7770839059613496e+07 -3.7912755869450614e+07 -3.8077249728599250e+07 -3.8268438402650587e+07 -3.8491093457668580e+07 -3.8750746448291093e+07 -3.9053813535962641e+07 -3.9407732443297930e+07 -3.9821124826433532e+07 -4.0303978694040008e+07 -4.0867862596889764e+07 -4.1526162001239464e+07 -4.2356458596987516e+07 -4.3336001498438612e+07 -4.4490863653672084e+07 -4.5851461527298316e+07 -4.7453237755858108e+07 -4.9337411134564057e+07 -5.1551750627219990e+07 -5.4151254056207530e+07 -5.7198555014767289e+07 -6.0763254247094698e+07 -6.4921111177191347e+07 -6.9746545395890221e+07 -7.5303129267720714e+07 -8.1633889943286136e+07 -8.8732082310394973e+07 -9.6520501390023991e+07 -1.0482664739438146e+08 -1.1337859451729554e+08 -1.2182454035056266e+08 -1.2977852118926376e+08 -1.3688713787873757e+08 -1.4288571137156051e+08 -1.4763827522995085e+08 -1.5113756039442125e+08 -1.5348729979084778e+08 -1.5486320230209869e+08 -1.5547213345359468e+08 -1.5552894605981442e+08 -1.5522076082682830e+08 -1.5470679627645016e+08 -1.5411285152231264e+08 -1.5351876466407210e+08 -1.5297789479754281e+08 -1.5251476369179767e+08 -1.5212525375085467e+08 -1.5180129170973930e+08 -1.5152253143480814e+08 -1.5127052434031257e+08 -1.5103166659179196e+08 -1.5086281730193156e+08 -1.5069201301188055e+08 -1.5051758842761698e+08 -1.5033482051306006e+08 -1.5014624390819108e+08 -1.4994819130043870e+08 -1.4973869304395610e+08 -1.4951165245771500e+08 -1.4926863771398482e+08 -1.4900516892914414e+08 -1.4871774751791406e+08 -1.4840212233334196e+08 -1.4805350406862834e+08 -1.4766674003926086e+08 -1.4723409879881525e+08 -1.4675131466914168e+08 -1.4620997271974677e+08 -1.4560221077529597e+08 -1.4491956828993472e+08 -1.4415331965155315e+08 -1.4329471316968837e+08 -1.4233573457571605e+08 -1.4126949745518368e+08 -1.4008887255149812e+08 -1.3879300407221034e+08 -1.3738489022416860e+08 -1.3587557688325405e+08 -1.3428386039605379e+08 -1.3264551963730848e+08 -1.3101532780309267e+08 -1.2947296785039625e+08 -1.2813858719933212e+08 -1.2717938840302193e+08 -1.2683606175538737e+08 -1.2745330467332208e+08 -1.2953771199259792e+08 -1.3385667907748581e+08 -1.4162607658270627e+08 -1.5488057706515470e+08 5.8902461695846073e+07 +5.4218072690896912e-01 -3.7763632423779942e+07 -3.7680798556486472e+07 -3.7540805774513498e+07 -3.7361076095477954e+07 -3.7187738205415204e+07 -3.7089762986156709e+07 -3.7097520221457705e+07 -3.7159406928279787e+07 -3.7223243117636211e+07 -3.7278788060510375e+07 -3.7332555836279638e+07 -3.7385621122824043e+07 -3.7436937640875079e+07 -3.7486326072300635e+07 -3.7534188139687151e+07 -3.7580619520026393e+07 -3.7625845514487855e+07 -3.7670515149120159e+07 -3.7715440357062660e+07 -3.7761496859905593e+07 -3.7809624134996109e+07 -3.7860664195668854e+07 -3.7914030555889197e+07 -3.7968139586686172e+07 -3.8031449671879157e+07 -3.8111580142703041e+07 -3.8206075332548536e+07 -3.8314578326819882e+07 -3.8439359682515763e+07 -3.8583504193045907e+07 -3.8750623003951624e+07 -3.8944900642630890e+07 -3.9171186284407854e+07 -3.9435101605532259e+07 -3.9743167258956470e+07 -4.0102941841699973e+07 -4.0523186605071761e+07 -4.1014050379218481e+07 -4.1587286570137776e+07 -4.2256492397673309e+07 -4.3100516779974848e+07 -4.4096204051934458e+07 -4.5270017950411759e+07 -4.6652816853157707e+07 -4.8280537223195381e+07 -5.0194940072825290e+07 -5.2444373540308267e+07 -5.5084426110206775e+07 -5.8178285395037986e+07 -6.1795978703900456e+07 -6.6013442372855306e+07 -7.0904758102016553e+07 -7.6532345686322972e+07 -8.2937029106130317e+07 -9.0108404279147759e+07 -9.7964217025034592e+07 -1.0632592290054391e+08 -1.1491559926401497e+08 -1.2337686428324085e+08 -1.3132180323261742e+08 -1.3839832507541010e+08 -1.4434589491521534e+08 -1.4903450596629992e+08 -1.5246323057540563e+08 -1.5474150272106153e+08 -1.5604940771601921e+08 -1.5659666771811384e+08 -1.5659974159775749e+08 -1.5624626791569209e+08 -1.5569530503301990e+08 -1.5507211263578698e+08 -1.5445564188867688e+08 -1.5389831243165404e+08 -1.5342360262651765e+08 -1.5302628450335917e+08 -1.5269727974740785e+08 -1.5241527185792604e+08 -1.5216105126625347e+08 -1.5192050662010005e+08 -1.5175059008389714e+08 -1.5157875201529920e+08 -1.5140329157191998e+08 -1.5121944596934810e+08 -1.5102975989300427e+08 -1.5083054714995518e+08 -1.5061980404940215e+08 -1.5039142854587638e+08 -1.5014698488559711e+08 -1.4988196681845862e+08 -1.4959285517014495e+08 -1.4927537377814353e+08 -1.4892470515194777e+08 -1.4853567063553217e+08 -1.4810047169864047e+08 -1.4761484772738323e+08 -1.4707032134912679e+08 -1.4645898412323880e+08 -1.4577232571871984e+08 -1.4500156917675829e+08 -1.4413791130886400e+08 -1.4317329487847379e+08 -1.4210077217888576e+08 -1.4091320104328024e+08 -1.3960970818426159e+08 -1.3819330945376337e+08 -1.3667511572292927e+08 -1.3507403394142768e+08 -1.3342605352297050e+08 -1.3178627382153057e+08 -1.3023482760232320e+08 -1.2889259595176801e+08 -1.2792775383740647e+08 -1.2758241160567009e+08 -1.2820328757628572e+08 -1.3029995935810255e+08 -1.3464433993990901e+08 -1.4245946038204256e+08 -1.5579194087062532e+08 5.9834835363658935e+07 +5.4714904968322720e-01 -3.8424963235214956e+07 -3.8342306354890414e+07 -3.8202640424157217e+07 -3.8023344228395738e+07 -3.7850437814624131e+07 -3.7752732943845823e+07 -3.7760526870160140e+07 -3.7822333356917612e+07 -3.7886093240954965e+07 -3.7941592916771077e+07 -3.7995334578253321e+07 -3.8048393320154272e+07 -3.8099729044016942e+07 -3.8149166875938252e+07 -3.8197112421688631e+07 -3.8243666736152411e+07 -3.8289061257806651e+07 -3.8333951472861409e+07 -3.8379156800422594e+07 -3.8425561857385740e+07 -3.8474116878827944e+07 -3.8525677185183018e+07 -3.8579677490810700e+07 -3.8634571668741301e+07 -3.8698842572543263e+07 -3.8780117786603712e+07 -3.8875969562309198e+07 -3.8986078853759907e+07 -3.9112758831854947e+07 -3.9259143714155912e+07 -3.9428902268220313e+07 -3.9626286124368295e+07 -3.9856222460988648e+07 -4.0124423516893283e+07 -4.0437514931023873e+07 -4.0803176725634955e+07 -4.1230310349878810e+07 -4.1729226104964048e+07 -4.2311862935789779e+07 -4.2992030507753573e+07 -4.3849850641615741e+07 -4.4861759755823106e+07 -4.6054612801973760e+07 -4.7459709999036312e+07 -4.9113480714194119e+07 -5.1058225863830671e+07 -5.3342868243769690e+07 -5.6023579079300761e+07 -5.9164086979291186e+07 -6.2834825412658706e+07 -6.7111877317113191e+07 -7.2068943477967352e+07 -7.7767234626536429e+07 -8.4245305942726105e+07 -9.1489029331225067e+07 -9.9411056537147939e+07 -1.0782679722047812e+08 -1.1645239280327421e+08 -1.2492700556480388e+08 -1.3286093221678284e+08 -1.3990355197000942e+08 -1.4579859641247374e+08 -1.5042207993519634e+08 -1.5377941673308560e+08 -1.5598569867766336e+08 -1.5722532216114670e+08 -1.5771079695781627e+08 -1.5766012733288214e+08 -1.5726142247831830e+08 -1.5667354652850848e+08 -1.5602119771743149e+08 -1.5538242719491535e+08 -1.5480870876696345e+08 -1.5432247548876372e+08 -1.5391739062669140e+08 -1.5358337377999833e+08 -1.5329814133815461e+08 -1.5304172574583021e+08 -1.5279951057281560e+08 -1.5262853803295565e+08 -1.5245567741909963e+08 -1.5227919252685532e+08 -1.5209428116787434e+08 -1.5190349792254779e+08 -1.5170313803950420e+08 -1.5149116352627882e+08 -1.5126146791047984e+08 -1.5101561117860803e+08 -1.5074906100601527e+08 -1.5045827785751757e+08 -1.5013896083121380e+08 -1.4978626456539130e+08 -1.4939498484441471e+08 -1.4895725617737269e+08 -1.4846882382391211e+08 -1.4792114828925771e+08 -1.4730627537988827e+08 -1.4661564553014031e+08 -1.4584043100323236e+08 -1.4497177768224800e+08 -1.4400158595829153e+08 -1.4292284691578138e+08 -1.4172840645239428e+08 -1.4041737362256992e+08 -1.3899278172796163e+08 -1.3746580591571152e+08 -1.3585546251449749e+08 -1.3419794914674069e+08 -1.3254868782519940e+08 -1.3098825559854823e+08 -1.2963825986459145e+08 -1.2866783691471946e+08 -1.2832050153931707e+08 -1.2894497038212118e+08 -1.3105377086497225e+08 -1.3542328365951428e+08 -1.4328362113400593e+08 -1.5669321811638209e+08 6.0771637019712858e+07 +5.5211737245748527e-01 -3.9091075396389641e+07 -3.9008593403676219e+07 -3.8869251627936736e+07 -3.8690385440787807e+07 -3.8517906720794156e+07 -3.8420469887341365e+07 -3.8428300889351368e+07 -3.8490028347489111e+07 -3.8553713494402952e+07 -3.8609169210625038e+07 -3.8662886122531503e+07 -3.8715939969931319e+07 -3.8767296389833719e+07 -3.8816785248598807e+07 -3.8864816041184753e+07 -3.8911495147082865e+07 -3.8957060162272617e+07 -3.9002173127014637e+07 -3.9047660964388467e+07 -3.9094417270025827e+07 -3.9143403077889130e+07 -3.9195487109765694e+07 -3.9250125334640808e+07 -3.9305809216064379e+07 -3.9371046409497887e+07 -3.9453472999802381e+07 -3.9550689190309875e+07 -3.9662413922298685e+07 -3.9791003195458189e+07 -3.9939640908445217e+07 -4.0112053746975958e+07 -4.0312560778623812e+07 -4.0546167570718333e+07 -4.0818677355253361e+07 -4.1136821240294881e+07 -4.1508401209813394e+07 -4.1942459496596843e+07 -4.2449468502179988e+07 -4.3041553369024433e+07 -4.3732736869652554e+07 -4.4604419253330097e+07 -4.5632625904254533e+07 -4.6844603341362193e+07 -4.8272093459702887e+07 -4.9952017488559902e+07 -5.1927213782919072e+07 -5.4247175084242702e+07 -5.6968647193494424e+07 -6.0155886398541145e+07 -6.3879711591147251e+07 -6.8216321677732632e+07 -7.3238993295474455e+07 -7.9007671706263244e+07 -8.5558578301703691e+07 -9.2873797390889227e+07 -1.0086084412602197e+08 -1.0932908398040719e+08 -1.1798878610280384e+08 -1.2647478198962979e+08 -1.3439574190429050e+08 -1.4140267519111973e+08 -1.4724369887700909e+08 -1.5180090661603376e+08 -1.5508605225872472e+08 -1.5721984093615910e+08 -1.5839091436698887e+08 -1.5881450125882947e+08 -1.5871009131300062e+08 -1.5826621792760423e+08 -1.5764151767211816e+08 -1.5696010589322019e+08 -1.5629912108449921e+08 -1.5570908514231485e+08 -1.5521138411723620e+08 -1.5479857424699095e+08 -1.5445957608926931e+08 -1.5417114223314273e+08 -1.5391255016888824e+08 -1.5366868085007560e+08 -1.5349666354986697e+08 -1.5332279162245524e+08 -1.5314529368958342e+08 -1.5295932850296122e+08 -1.5276746038838574e+08 -1.5256596635707825e+08 -1.5235277386001042e+08 -1.5212177293294418e+08 -1.5187451897081068e+08 -1.5160645386546609e+08 -1.5131401794878903e+08 -1.5099288585653538e+08 -1.5063818466720197e+08 -1.5024468501743159e+08 -1.4980445458029562e+08 -1.4931324529620621e+08 -1.4876245586910382e+08 -1.4814408686422986e+08 -1.4744953003259051e+08 -1.4666990742697272e+08 -1.4579631457215199e+08 -1.4482061008238357e+08 -1.4373572391604269e+08 -1.4253449101024064e+08 -1.4121600259795159e+08 -1.3978330923534182e+08 -1.3824764962601510e+08 -1.3662814825415879e+08 -1.3496120862129566e+08 -1.3330257190090923e+08 -1.3173325390155603e+08 -1.3037558097907785e+08 -1.2939963966116488e+08 -1.2905033357665126e+08 -1.2967835512123112e+08 -1.3179914857675610e+08 -1.3619351236825460e+08 -1.4409856109442145e+08 -1.5758441126968509e+08 6.1712802471871153e+07 +5.5708569523174334e-01 -3.9761935730834760e+07 -3.9679627409226447e+07 -3.9540606691057496e+07 -3.9362166805132829e+07 -3.9190111888783202e+07 -3.9092941492553249e+07 -3.9100809537162207e+07 -3.9162459543107435e+07 -3.9226071442270577e+07 -3.9281484618790984e+07 -3.9335178206520744e+07 -3.9388228629922807e+07 -3.9439607262164399e+07 -3.9489148761945955e+07 -3.9537266533803694e+07 -3.9584072271829195e+07 -3.9629809719378360e+07 -3.9675147562163383e+07 -3.9720920260886304e+07 -3.9768030465022616e+07 -3.9817450053612746e+07 -3.9870061234557249e+07 -3.9925341287084527e+07 -3.9981819351709470e+07 -4.0048028215072185e+07 -4.0131612703311548e+07 -4.0230201006966375e+07 -4.0343550168301582e+07 -4.0474059227812655e+07 -4.0624962017138667e+07 -4.0800043430065453e+07 -4.1003690299060874e+07 -4.1240986957710549e+07 -4.1517828052172512e+07 -4.1841050630839378e+07 -4.2218579161791280e+07 -4.2659597230305523e+07 -4.3174739946914345e+07 -4.3776319285187148e+07 -4.4478571755865701e+07 -4.5364181413767122e+07 -4.6408759510356903e+07 -4.7639944410944961e+07 -4.9089919428296447e+07 -5.0796096492534272e+07 -5.2801848779132336e+07 -5.5157234069911033e+07 -5.7919564334653273e+07 -6.1153609932432741e+07 -6.4930554117158592e+07 -6.9326680819688737e+07 -7.4414799105179116e+07 -8.0253532474121466e+07 -8.6876704210681930e+07 -9.4262548927258119e+07 -1.0231340501801777e+08 -1.1083259839124827e+08 -1.1952459226943564e+08 -1.2802001394131924e+08 -1.3592606890599197e+08 -1.4289555424485040e+08 -1.4868108801810002e+08 -1.5317089785400116e+08 -1.5638307250849786e+08 -1.5844388433568367e+08 -1.5954615426891765e+08 -1.5990776162056193e+08 -1.5974962227479318e+08 -1.5926064820081404e+08 -1.5859921578265914e+08 -1.5788883662064010e+08 -1.5720572433873245e+08 -1.5659944314364606e+08 -1.5609033057610297e+08 -1.5566983770358643e+08 -1.5532588916202766e+08 -1.5503427710229337e+08 -1.5477352712492475e+08 -1.5452802005058154e+08 -1.5435496923406649e+08 -1.5418009722345859e+08 -1.5400159765544680e+08 -1.5381459056710559e+08 -1.5362164987932336e+08 -1.5341903468794021e+08 -1.5320463763267553e+08 -1.5297234619173864e+08 -1.5272371083597270e+08 -1.5245414796610850e+08 -1.5216007800831497e+08 -1.5183715141292822e+08 -1.5148046801020107e+08 -1.5108477370099139e+08 -1.5064206944670022e+08 -1.5014811467501828e+08 -1.4959424661010855e+08 -1.4897242108732212e+08 -1.4827398172530025e+08 -1.4749000093400517e+08 -1.4661152444961977e+08 -1.4563036970480627e+08 -1.4453940561632678e+08 -1.4333145713303784e+08 -1.4200559750410536e+08 -1.4056489434496257e+08 -1.3902064919704780e+08 -1.3739209347607699e+08 -1.3571583423420802e+08 -1.3404792830774492e+08 -1.3246982474445932e+08 -1.3110456150508356e+08 -1.3012316426980768e+08 -1.2977190990487815e+08 -1.3040344399110842e+08 -1.3253609472706039e+08 -1.3695502837448096e+08 -1.4490428270520878e+08 -1.5846552300157768e+08 6.2658267833440386e+07 +5.6205401800600141e-01 -4.0437511588958010e+07 -4.0355375330118366e+07 -4.0216673560699292e+07 -4.0038656000916943e+07 -3.9867021520938881e+07 -3.9770115207772687e+07 -3.9778020825820342e+07 -3.9839594546922892e+07 -3.9903134514504336e+07 -3.9958506595541641e+07 -4.0012178292461708e+07 -4.0065226647497199e+07 -4.0116629034030877e+07 -4.0166224786946893e+07 -4.0214431214493930e+07 -4.0261365393342599e+07 -4.0307277191251166e+07 -4.0352842000536613e+07 -4.0398901876301542e+07 -4.0446368583714105e+07 -4.0496224901327573e+07 -4.0549366597361639e+07 -4.0605292319367059e+07 -4.0662568970310628e+07 -4.0729754792915151e+07 -4.0814503589197688e+07 -4.0914471572720610e+07 -4.1029453997094393e+07 -4.1161893151986770e+07 -4.1315073048967600e+07 -4.1492837073434733e+07 -4.1699640143713295e+07 -4.1940645728780739e+07 -4.2221840299763918e+07 -4.2550167304665126e+07 -4.2933674204161778e+07 -4.3381686487556495e+07 -4.3905002562400840e+07 -4.4516121842006877e+07 -4.5229495175772719e+07 -4.6129095651406445e+07 -4.7190117308700152e+07 -4.8440590565360084e+07 -4.9913139799598172e+07 -5.1645666362321831e+07 -5.3682075479328133e+07 -5.6072984874986716e+07 -5.8876264042030089e+07 -6.2157183516410545e+07 -6.5987269536812820e+07 -7.0442859815628454e+07 -7.5596252249613151e+07 -8.1504692423698351e+07 -8.8199541892027855e+07 -9.5655124968869925e+07 -1.0376856547610074e+08 -1.1233715724844113e+08 -1.2105962653521317e+08 -1.2956252436324011e+08 -1.3745175263732076e+08 -1.4438205146086428e+08 -1.5011065218301162e+08 -1.5453196780366251e+08 -1.5767041475441957e+08 -1.5965778523762020e+08 -1.6069101297523540e+08 -1.6099055993061006e+08 -1.6077870962593728e+08 -1.6024470774855113e+08 -1.5954663858176240e+08 -1.5880738968441066e+08 -1.5810223801678333e+08 -1.5747978460166660e+08 -1.5695931715458333e+08 -1.5653118354849735e+08 -1.5618231569165131e+08 -1.5588754870731047e+08 -1.5562465940412158e+08 -1.5537753097274873e+08 -1.5520345788415933e+08 -1.5502759701875463e+08 -1.5484810721857753e+08 -1.5466007015082002e+08 -1.5446606918262663e+08 -1.5426234581561491e+08 -1.5404675762429908e+08 -1.5381319046226168e+08 -1.5356318954540774e+08 -1.5329214607418969e+08 -1.5299646079694876e+08 -1.5267176025533047e+08 -1.5231311734283867e+08 -1.5191525363588968e+08 -1.5147010350993583e+08 -1.5097343468492687e+08 -1.5041652322651917e+08 -1.4979128075232458e+08 -1.4908900329830879e+08 -1.4830071420031089e+08 -1.4741740997493801e+08 -1.4643086746776012e+08 -1.4533389463913164e+08 -1.4411930742145362e+08 -1.4278616091754341e+08 -1.4133753960743973e+08 -1.3978480715126234e+08 -1.3814730067341155e+08 -1.3646182844788334e+08 -1.3478475947764638e+08 -1.3319797053089300e+08 -1.3182520382154156e+08 -1.3083841310199302e+08 -1.3048523287859635e+08 -1.3112023935800156e+08 -1.3326461172097653e+08 -1.3770783416302341e+08 -1.4570078859560812e+08 -1.5933655618793225e+08 6.3607969522750005e+07 +5.6702234078025948e-01 -4.1117770872901976e+07 -4.1035804781366102e+07 -4.0897418746603392e+07 -4.0719820099047057e+07 -4.0548602649019986e+07 -4.0451958143007413e+07 -4.0459901530189738e+07 -4.0521400522570103e+07 -4.0584869995991774e+07 -4.0640202315700017e+07 -4.0693853509669244e+07 -4.0746901228202008e+07 -4.0798328875954039e+07 -4.0847980474836700e+07 -4.0896277192583613e+07 -4.0943341564387873e+07 -4.0989429611973621e+07 -4.1035223439380892e+07 -4.1081572773492537e+07 -4.1129398543829285e+07 -4.1179694491830602e+07 -4.1233370010194838e+07 -4.1289945176436730e+07 -4.1348024740185983e+07 -4.1416192719669148e+07 -4.1502112122384138e+07 -4.1603467220157944e+07 -4.1720091585255876e+07 -4.1854470961463779e+07 -4.2009939781888172e+07 -4.2190400201005973e+07 -4.2400375537258513e+07 -4.2645108755375616e+07 -4.2930678552599967e+07 -4.3264135223801792e+07 -4.3653649716472127e+07 -4.4108689958433956e+07 -4.4640218221486941e+07 -4.5260921942070842e+07 -4.5985466878027625e+07 -4.6899120227082282e+07 -4.7976655758473918e+07 -4.9246496074417107e+07 -5.0741706173476875e+07 -5.2500675427903108e+07 -5.4567838192485288e+07 -5.6994366845042109e+07 -5.9838679518171579e+07 -6.3166532748695031e+07 -6.7049774073148906e+07 -7.1564763456216663e+07 -7.6783243875558019e+07 -8.2761027008624509e+07 -8.9526949778246969e+07 -9.7051367118611753e+07 -1.0522615280889776e+08 -1.1384257893226248e+08 -1.2259370624435267e+08 -1.3110213872982013e+08 -1.3897263527588558e+08 -1.4586203194027171e+08 -1.5153228230072954e+08 -1.5588403287494469e+08 -1.5894801813618949e+08 -1.6086150148621178e+08 -1.6182546273763663e+08 -1.6206287894351125e+08 -1.6179734342992070e+08 -1.6121839152372068e+08 -1.6048378418621421e+08 -1.5971576519253567e+08 -1.5898866345250574e+08 -1.5835011159155074e+08 -1.5781834636669603e+08 -1.5738261454664266e+08 -1.5702885857744959e+08 -1.5673096001248533e+08 -1.5646594999755162e+08 -1.5621721661508226e+08 -1.5604213249859849e+08 -1.5586529400464264e+08 -1.5568482537186259e+08 -1.5549577024377802e+08 -1.5530072128426445e+08 -1.5509590272187757e+08 -1.5487913681285799e+08 -1.5464430871826577e+08 -1.5439295806770676e+08 -1.5412045115301517e+08 -1.5382316927248925e+08 -1.5349671533499491e+08 -1.5313613560943222e+08 -1.5273612775867414e+08 -1.5228855969827253e+08 -1.5178920824436510e+08 -1.5122928862628424e+08 -1.5060066875465617e+08 -1.4989459763391295e+08 -1.4910205009270459e+08 -1.4821397399772647e+08 -1.4722210620176026e+08 -1.4611919379426080e+08 -1.4489804466162196e+08 -1.4355769559887531e+08 -1.4210124775524077e+08 -1.4054012619103330e+08 -1.3889377251649129e+08 -1.3719919390047744e+08 -1.3551306801611286e+08 -1.3391769383628052e+08 -1.3253751047727601e+08 -1.3154538868705250e+08 -1.3119030502027053e+08 -1.3182874375643140e+08 -1.3398470213440683e+08 -1.3845193239618769e+08 -1.4648808158216515e+08 -1.6019751390922806e+08 6.4561844262728788e+07 +5.7199066355451755e-01 -4.1802679667890891e+07 -4.1720882297211759e+07 -4.1582809232709341e+07 -4.1405626088353977e+07 -4.1234821974689439e+07 -4.1138437937566876e+07 -4.1146419084832869e+07 -4.1207844432454564e+07 -4.1271244878564022e+07 -4.1326538732318260e+07 -4.1380170758306198e+07 -4.1433219346149400e+07 -4.1484673748604774e+07 -4.1534382731295630e+07 -4.1582771350646071e+07 -4.1629967618000828e+07 -4.1676233787941940e+07 -4.1722258654818930e+07 -4.1768899692854159e+07 -4.1817087040779263e+07 -4.1867825472772419e+07 -4.1922038061028577e+07 -4.1979266378666796e+07 -4.2038153105107732e+07 -4.2107308347045168e+07 -4.2194404542583987e+07 -4.2297154055594370e+07 -4.2415428882483669e+07 -4.2551758421982452e+07 -4.2709527765200928e+07 -4.2892698106618218e+07 -4.3105861472753339e+07 -4.3354340675786167e+07 -4.3644307029911153e+07 -4.3982918112377778e+07 -4.4378468837488785e+07 -4.4840570088732377e+07 -4.5380348548641048e+07 -4.6010680234903395e+07 -4.6746446352891639e+07 -4.7674213136588626e+07 -4.8768331045941591e+07 -5.0057614926371038e+07 -5.1575569858013183e+07 -5.3361071716694653e+07 -5.5459080913814932e+07 -5.7921319001546375e+07 -6.0806743634807177e+07 -6.4181582897207223e+07 -6.8117983634800255e+07 -7.2692296260693446e+07 -7.7975664946734011e+07 -8.4022411656496853e+07 -9.0858786527624652e+07 -9.8451117566647083e+07 -1.0668599537978274e+08 -1.1534868340754379e+08 -1.2412665083966094e+08 -1.3263868501856337e+08 -1.4048856171958002e+08 -1.4733536350488126e+08 -1.5294587182704237e+08 -1.5722701168049484e+08 -1.6021582361418280e+08 -1.6205499236992976e+08 -1.6294947692043710e+08 -1.6312470225830427e+08 -1.6280551439032468e+08 -1.6218169497154865e+08 -1.6141065110182983e+08 -1.6061396357187614e+08 -1.5986500225280827e+08 -1.5921042643132111e+08 -1.5866742095039251e+08 -1.5822413367571449e+08 -1.5786552092513093e+08 -1.5756451418534103e+08 -1.5729740209789360e+08 -1.5704708017680550e+08 -1.5687099627588695e+08 -1.5669319137715501e+08 -1.5651175530819750e+08 -1.5632169403504866e+08 -1.5612560936913961e+08 -1.5591970858713019e+08 -1.5570177837506187e+08 -1.5546570413148123e+08 -1.5521301956935719e+08 -1.5493906636363867e+08 -1.5464020658941346e+08 -1.5431201980018738e+08 -1.5394952595060748e+08 -1.5354739920147419e+08 -1.5309744113519984e+08 -1.5259543846675003e+08 -1.5203254591100433e+08 -1.5140058818326914e+08 -1.5069076780641297e+08 -1.4989401166928127e+08 -1.4900121955763754e+08 -1.4800408892617035e+08 -1.4689530607871830e+08 -1.4566767182583651e+08 -1.4432020449257138e+08 -1.4285602170289934e+08 -1.4128660919888213e+08 -1.3963151185418701e+08 -1.3792793340594694e+08 -1.3623285670231566e+08 -1.3462899740727586e+08 -1.3324148419062011e+08 -1.3224409372323893e+08 -1.3188712902079377e+08 -1.3252895989024013e+08 -1.3469636871571559e+08 -1.3918732591336212e+08 -1.4726616466907007e+08 -1.6104839945177251e+08 6.5519829080477640e+07 +5.7695898632877562e-01 -4.2492204678959735e+07 -4.2410574789407559e+07 -4.2272812156287752e+07 -4.2096040639815062e+07 -4.1925646667495519e+07 -4.1829520985285334e+07 -4.1837540063306771e+07 -4.1898893062764674e+07 -4.1962226051724173e+07 -4.2017482738372967e+07 -4.2071096907703370e+07 -4.2124147730454564e+07 -4.2175630336505324e+07 -4.2225398215215363e+07 -4.2273880326117881e+07 -4.2321210174886413e+07 -4.2367656300337799e+07 -4.2413914203616880e+07 -4.2460849153076433e+07 -4.2509400549074508e+07 -4.2560584269609518e+07 -4.2615337115571886e+07 -4.2673222223984852e+07 -4.2732920286253102e+07 -4.2803067803542249e+07 -4.2891346865942247e+07 -4.2995497961161785e+07 -4.3115431613583609e+07 -4.3253721073563464e+07 -4.3413802321258456e+07 -4.3599695856071703e+07 -4.3816062713758036e+07 -4.4068305896748550e+07 -4.4362689717368618e+07 -4.4706479458601013e+07 -4.5108094467221402e+07 -4.5577289082149833e+07 -4.6125354922391683e+07 -4.6765357119567029e+07 -4.7512392834840164e+07 -4.8454332113201439e+07 -4.9565099087285317e+07 -5.0873900830597371e+07 -5.2414681872940332e+07 -5.4226802957317315e+07 -5.6355747329214104e+07 -5.8853780047138013e+07 -6.1780388938520692e+07 -6.5202258906621836e+07 -6.9191813824386463e+07 -7.3825362487284154e+07 -7.9173406256112471e+07 -8.5288721783381164e+07 -9.2194911038825974e+07 -9.9854219104867116e+07 -1.0814792261538409e+08 -1.1685529222285311e+08 -1.2565828184934133e+08 -1.3417199368191831e+08 -1.4199937954557851e+08 -1.4880191664671966e+08 -1.5435131669207400e+08 -1.5856082498485112e+08 -1.6147377392554846e+08 -1.6323821858564562e+08 -1.6406302997288817e+08 -1.6417601429765999e+08 -1.6380321383641174e+08 -1.6313461401930302e+08 -1.6232723821675077e+08 -1.6150198556415015e+08 -1.6073125629485822e+08 -1.6006073168056184e+08 -1.5950654386740360e+08 -1.5905574412656161e+08 -1.5869230604731357e+08 -1.5838821459680840e+08 -1.5811901909925738e+08 -1.5786712505785391e+08 -1.5769005261523193e+08 -1.5751129253291076e+08 -1.5732890042075136e+08 -1.5713784491349337e+08 -1.5694073682192832e+08 -1.5673376679146999e+08 -1.5651468568644312e+08 -1.5627738007237718e+08 -1.5602337741563204e+08 -1.5574799506503856e+08 -1.5544757610066518e+08 -1.5511767699618351e+08 -1.5475329170416760e+08 -1.5434907129304552e+08 -1.5389675114020798e+08 -1.5339212866039455e+08 -1.5282629837684742e+08 -1.5219104232068047e+08 -1.5147751708267790e+08 -1.5067660217962605e+08 -1.4977914988523722e+08 -1.4877681884908703e+08 -1.4766223467756718e+08 -1.4642819207186571e+08 -1.4507369072767442e+08 -1.4360186454763150e+08 -1.4202425923804075e+08 -1.4036052171387085e+08 -1.3864804995447254e+08 -1.3694412848987731e+08 -1.3533188416283682e+08 -1.3393712785055554e+08 -1.3293453107779872e+08 -1.3257570773929010e+08 -1.3322089063276596e+08 -1.3539961438462365e+08 -1.3991401773240888e+08 -1.4803504104930300e+08 -1.6188921630758190e+08 6.6481861306839593e+07 +5.8192730910303370e-01 -4.3186312487088799e+07 -4.3104848677030355e+07 -4.2967393460921973e+07 -4.2791030672134466e+07 -4.2621043265027314e+07 -4.2525173776476763e+07 -4.2533231062126629e+07 -4.2594513184013896e+07 -4.2657779990385085e+07 -4.2713000781874262e+07 -4.2766598447266512e+07 -4.2819652852616422e+07 -4.2871165071745321e+07 -4.2920993352560766e+07 -4.2969570529027559e+07 -4.3017035639783673e+07 -4.3063663511773720e+07 -4.3110156423721239e+07 -4.3157387451970898e+07 -4.3206305323462322e+07 -4.3257937086907424e+07 -4.3313233319246456e+07 -4.3371778789654590e+07 -4.3432292284295730e+07 -4.3503436996562019e+07 -4.3592904887022354e+07 -4.3698464596627988e+07 -4.3820065280205995e+07 -4.3960324232258983e+07 -4.4122728547514059e+07 -4.4311358288860478e+07 -4.4530943796099797e+07 -4.4786968595637791e+07 -4.5085790369250625e+07 -4.5434782516926296e+07 -4.5842489269011319e+07 -4.6318808902437583e+07 -4.6875198477449887e+07 -4.7524912746838816e+07 -4.8283265304899186e+07 -4.9239434630501695e+07 -5.0366915531456538e+07 -5.1695307220883079e+07 -5.3258992952969402e+07 -5.5097816583245508e+07 -5.7257780819318846e+07 -5.9791688370292835e+07 -6.2759547656645618e+07 -6.6228485405471511e+07 -7.0271179947101593e+07 -7.4963866143237650e+07 -8.0376358438254505e+07 -8.6559832807701007e+07 -9.3535182465554684e+07 -1.0126051513927133e+08 -1.0961176501395300e+08 -1.1836222850970247e+08 -1.2718842287286320e+08 -1.3570189761925679e+08 -1.4350493896974769e+08 -1.5026156447948295e+08 -1.5574851524829948e+08 -1.5988539565524077e+08 -1.6272181354029208e+08 -1.6441114220220760e+08 -1.6516609740152580e+08 -1.6521680028764936e+08 -1.6479043370857066e+08 -1.6407714506705311e+08 -1.6323354479539278e+08 -1.6237983222219056e+08 -1.6158742772421008e+08 -1.6090103013965619e+08 -1.6033571830308664e+08 -1.5987744930270457e+08 -1.5950921746338204e+08 -1.5920206482129288e+08 -1.5893080459823287e+08 -1.5867735485975131e+08 -1.5849930511676759e+08 -1.5831960106901824e+08 -1.5813626430265442e+08 -1.5794422646832070e+08 -1.5774610722741908e+08 -1.5753808091465849e+08 -1.5731786232247853e+08 -1.5707934011078101e+08 -1.5682403517014441e+08 -1.5654724081479818e+08 -1.5624528135646850e+08 -1.5591369046592095e+08 -1.5554743640429553e+08 -1.5514114755850214e+08 -1.5468649322852960e+08 -1.5417928232930273e+08 -1.5361054951479897e+08 -1.5297203464312097e+08 -1.5225484892296100e+08 -1.5144982506558830e+08 -1.5054776840143380e+08 -1.4954029936899653e+08 -1.4841998296374568e+08 -1.4717960874500731e+08 -1.4581815761783049e+08 -1.4433877956976056e+08 -1.4275307955261880e+08 -1.4108080530150756e+08 -1.3935954671304923e+08 -1.3764688650626975e+08 -1.3602635719466069e+08 -1.3462444451657555e+08 -1.3361670378732653e+08 -1.3325604420391096e+08 -1.3390453902673112e+08 -1.3609444223438537e+08 -1.4063201104896939e+08 -1.4879471410410076e+08 -1.6271996817557415e+08 6.7447878575966060e+07 +5.8689563187729177e-01 -4.3884969528444834e+07 -4.3803669923826188e+07 -4.3666520102968678e+07 -4.3490561897367664e+07 -4.3320977765372001e+07 -4.3225362528894395e+07 -4.3233458537368536e+07 -4.3294671093646832e+07 -4.3357873007405028e+07 -4.3413059041412599e+07 -4.3466641608896427e+07 -4.3519700948668666e+07 -4.3571244204686113e+07 -4.3621134360909700e+07 -4.3669808165165842e+07 -4.3717410192454509e+07 -4.3764221571734838e+07 -4.3810951433963768e+07 -4.3858480667847045e+07 -4.3907767400391497e+07 -4.3959849909756757e+07 -4.4015692598923966e+07 -4.4074901934472673e+07 -4.4136234881249525e+07 -4.4208381614032507e+07 -4.4299044180420697e+07 -4.4406019401357934e+07 -4.4529295163007312e+07 -4.4671532992161818e+07 -4.4836271318361759e+07 -4.5027650020314679e+07 -4.5250469030081570e+07 -4.5510292722584955e+07 -4.5813572510520637e+07 -4.6167790309936978e+07 -4.6581615671658978e+07 -4.7065091275645718e+07 -4.7629840107062601e+07 -4.8289307021626785e+07 -4.9059022493095055e+07 -5.0029477904726692e+07 -5.1173735763091154e+07 -5.2521787258367524e+07 -5.4108453551006533e+07 -5.5974059736620858e+07 -5.8165124463682309e+07 -6.0734982050345547e+07 -6.3744151703194618e+07 -6.7260186712884903e+07 -7.1355997019169196e+07 -7.6107710995614395e+07 -8.1584411981599167e+07 -8.7835620164256066e+07 -9.4879460231255636e+07 -1.0266984970305753e+08 -1.1107735415287431e+08 -1.1986931698077177e+08 -1.2871689956769657e+08 -1.3722823215024209e+08 -1.4500509280769020e+08 -1.5171418269130191e+08 -1.5713736822041237e+08 -1.6120064861375415e+08 -1.6395988861967611e+08 -1.6557372662662193e+08 -1.6625865574389398e+08 -1.6624704623892668e+08 -1.6576716654524112e+08 -1.6500928497807240e+08 -1.6412957047248489e+08 -1.6324750490646359e+08 -1.6243351895249736e+08 -1.6173132484860241e+08 -1.6115494766515440e+08 -1.6068925282052669e+08 -1.6031625889979273e+08 -1.6000606863776338e+08 -1.5973276239364377e+08 -1.5947777338566378e+08 -1.5929875758212671e+08 -1.5911812078378710e+08 -1.5893385074827567e+08 -1.5874084248918772e+08 -1.5854172437034339e+08 -1.5833265473640114e+08 -1.5811131205786899e+08 -1.5787158801578799e+08 -1.5761499659609511e+08 -1.5733680736918586e+08 -1.5703332610626236e+08 -1.5670006395060477e+08 -1.5633196378360862e+08 -1.5592363172024122e+08 -1.5546667111204082e+08 -1.5495690317286661e+08 -1.5438530301081291e+08 -1.5374356882114395e+08 -1.5302276698044583e+08 -1.5221368396105564e+08 -1.5130707871855620e+08 -1.5029453407364261e+08 -1.4916855449894962e+08 -1.4792192537688097e+08 -1.4655360866232276e+08 -1.4506677023266482e+08 -1.4347307356801558e+08 -1.4179236600245777e+08 -1.4006242702566448e+08 -1.3834113405447999e+08 -1.3671241976680520e+08 -1.3530343741943780e+08 -1.3429061505801249e+08 -1.3392814161230451e+08 -1.3457990828533411e+08 -1.3678085553029543e+08 -1.4134130923767012e+08 -1.4954518740376022e+08 -1.6354065896057406e+08 6.8417818824880511e+07 +5.9186395465154984e-01 -4.4588141301567644e+07 -4.4507004882710092e+07 -4.4370157530556574e+07 -4.4194600694086671e+07 -4.4025417102279469e+07 -4.3930053926273532e+07 -4.3938188545939781e+07 -4.3999332634513870e+07 -4.4062471212878123e+07 -4.4117623745182768e+07 -4.4171192462917380e+07 -4.4224258050194994e+07 -4.4275833782677002e+07 -4.4325787255950712e+07 -4.4374559232920446e+07 -4.4422299787236907e+07 -4.4469296416683182e+07 -4.4516265134532593e+07 -4.4564094661979161e+07 -4.4613752599362023e+07 -4.4666288505387321e+07 -4.4722680664974988e+07 -4.4782557300685056e+07 -4.4844713642179638e+07 -4.4917867126516946e+07 -4.5009730102851830e+07 -4.5118127596082583e+07 -4.5243086323358223e+07 -4.5387312227228515e+07 -4.5554395287170298e+07 -4.5748535443489112e+07 -4.5974602502154358e+07 -4.6238242002274968e+07 -4.6545999438708752e+07 -4.6905465630710326e+07 -4.7325435871710449e+07 -4.7816097692276470e+07 -4.8389240465089604e+07 -4.9058499605279610e+07 -4.9839622881101079e+07 -5.0824418897616386e+07 -5.1985514905023232e+07 -5.3353293834727138e+07 -5.4963013841826260e+07 -5.6855479272113472e+07 -5.9077721045405187e+07 -6.1683598862450153e+07 -6.4734132684623092e+07 -6.8297286846052468e+07 -7.2446179776287645e+07 -7.7256800580838427e+07 -8.2797457240320325e+07 -8.9115959317476884e+07 -9.6227604043132454e+07 -1.0408206746917422e+08 -1.1254452269586425e+08 -1.2137638392931567e+08 -1.3024353963534278e+08 -1.3875083498696762e+08 -1.4649969643528220e+08 -1.5315964949808192e+08 -1.5851777865681022e+08 -1.6250651079071876e+08 -1.6518794697540876e+08 -1.6672593657091916e+08 -1.6734068254294044e+08 -1.6726673892728510e+08 -1.6673340546927372e+08 -1.6593103107043380e+08 -1.6501531524715403e+08 -1.6410500528133717e+08 -1.6326953265557864e+08 -1.6255161908569920e+08 -1.6196423558420524e+08 -1.6149115850908321e+08 -1.6111343429047599e+08 -1.6080023002899414e+08 -1.6052489648741117e+08 -1.6026838464083862e+08 -1.6008841401463765e+08 -1.5990685567704764e+08 -1.5972166375312036e+08 -1.5952769696671063e+08 -1.5932759223644739e+08 -1.5911749223679662e+08 -1.5889503886784819e+08 -1.5865412775657380e+08 -1.5839626565591288e+08 -1.5811669868376368e+08 -1.5781171429758200e+08 -1.5747680138952917e+08 -1.5710687777207026e+08 -1.5669652769782898e+08 -1.5623728869939217e+08 -1.5572499508696407e+08 -1.5515056274627897e+08 -1.5450564872015843e+08 -1.5378127510209367e+08 -1.5296818269264475e+08 -1.5205708464065698e+08 -1.5103952674115524e+08 -1.4990795303337169e+08 -1.4865514568637213e+08 -1.4728004754559174e+08 -1.4578584018357596e+08 -1.4418424489141241e+08 -1.4249520738149661e+08 -1.4075669441346991e+08 -1.3902687461197922e+08 -1.3739007531639674e+08 -1.3597410996055928e+08 -1.3495626826635063e+08 -1.3459200333145180e+08 -1.3524700179171211e+08 -1.3745885771125549e+08 -1.4204191585177466e+08 -1.5028646470781314e+08 -1.6435129277500424e+08 6.9391620293038100e+07 +5.9683227742580791e-01 -4.5295794151611239e+07 -4.5214819012830421e+07 -4.5078271525457077e+07 -4.4903113237217806e+07 -4.4734325684029825e+07 -4.4639214144669719e+07 -4.4647387236997604e+07 -4.4708464052525505e+07 -4.4771540615440182e+07 -4.4826660917375088e+07 -4.4880216908471718e+07 -4.4933290091514781e+07 -4.4984899644406550e+07 -4.5034917845829941e+07 -4.5083789508282997e+07 -4.5131670165553026e+07 -4.5178853767068550e+07 -4.5226063208974302e+07 -4.5274195080427930e+07 -4.5324226524089187e+07 -4.5377218425420843e+07 -4.5434163012921780e+07 -4.5494710316018358e+07 -4.5557693917355038e+07 -4.5631858788970627e+07 -4.5724927794676177e+07 -4.5834754184923537e+07 -4.5961403605400242e+07 -4.6107626593339838e+07 -4.6277064887974329e+07 -4.6473978731135055e+07 -4.6703308077208906e+07 -4.6970779935995117e+07 -4.7283034226130202e+07 -4.7647771044641934e+07 -4.8073911835432909e+07 -4.8571789409507573e+07 -4.9153359968735121e+07 -4.9832449918094292e+07 -5.0625024704596415e+07 -5.1624214318866782e+07 -5.2802207821375333e+07 -5.4189779574921839e+07 -5.5822623725112185e+07 -5.7742021760403693e+07 -5.9995513055066824e+07 -6.2637476282563388e+07 -6.5729421905589834e+07 -6.9339709526655555e+07 -7.3541642682161957e+07 -7.8411038215573713e+07 -8.4015384446527824e+07 -9.0400725775568962e+07 -9.7579473906003669e+07 -1.0549701376237494e+08 -1.1401310440085004e+08 -1.2288325722637419e+08 -1.3176817280778557e+08 -1.4026954620759085e+08 -1.4798860775122923e+08 -1.5459784559827417e+08 -1.5988965188165691e+08 -1.6380291108000875e+08 -1.6640593803079951e+08 -1.6786773802038428e+08 -1.6841215632264057e+08 -1.6827586587656936e+08 -1.6768914417588672e+08 -1.6684238110882217e+08 -1.6589077947800589e+08 -1.6495233531193405e+08 -1.6409547177136469e+08 -1.6336191636679000e+08 -1.6276358591252360e+08 -1.6228317041024366e+08 -1.6190074777607992e+08 -1.6158455318247256e+08 -1.6130721108422083e+08 -1.6104919283262834e+08 -1.6086827861943027e+08 -1.6068580995011863e+08 -1.6049970751376456e+08 -1.6030479409272394e+08 -1.6010371501210603e+08 -1.5989259759670669e+08 -1.5966904692782614e+08 -1.5942696350180990e+08 -1.5916784651191989e+08 -1.5888691891348028e+08 -1.5858045007738918e+08 -1.5824390692088667e+08 -1.5787218249801272e+08 -1.5745983960835761e+08 -1.5699835009623685e+08 -1.5648356216390181e+08 -1.5590633279808411e+08 -1.5525827839995208e+08 -1.5453037732912621e+08 -1.5371332528012130e+08 -1.5279779016314217e+08 -1.5177528134029776e+08 -1.5063818250623217e+08 -1.4937927358000731e+08 -1.4799747813791817e+08 -1.4649599325340566e+08 -1.4488659731135696e+08 -1.4318933318297470e+08 -1.4144235257523394e+08 -1.3970411183199319e+08 -1.3805932745417836e+08 -1.3663646571335492e+08 -1.3561366695864189e+08 -1.3524763289793670e+08 -1.3590582309995010e+08 -1.3812845238925046e+08 -1.4273383462390107e+08 -1.5101854996571827e+08 -1.6515187393864506e+08 7.0369221521882921e+07 +6.0180060020006598e-01 -4.6007893202103496e+07 -4.5927077837839335e+07 -4.5790827970691234e+07 -4.5616064870698377e+07 -4.5447670762183055e+07 -4.5352808080939375e+07 -4.5361019992311440e+07 -4.5422030965566821e+07 -4.5485046760220408e+07 -4.5540136127749354e+07 -4.5593680603490002e+07 -4.5646762741215169e+07 -4.5698407420851603e+07 -4.5748491724815615e+07 -4.5797464546799533e+07 -4.5845486867335953e+07 -4.5892859128206410e+07 -4.5940311127135895e+07 -4.5988747356444344e+07 -4.6039154563563243e+07 -4.6092605007779703e+07 -4.6150104925261997e+07 -4.6211326195651494e+07 -4.6275140843665324e+07 -4.6350321642626174e+07 -4.6444602182082303e+07 -4.6555863957250059e+07 -4.6684211637984261e+07 -4.6832440530155942e+07 -4.7004244337814517e+07 -4.7203943837715350e+07 -4.7436549400295146e+07 -4.7707869803840235e+07 -4.8024639721836388e+07 -4.8394668891799793e+07 -4.8827005301047780e+07 -4.9332127453400679e+07 -4.9922158800314285e+07 -5.0611117141593590e+07 -5.1415185955855571e+07 -5.2428820628985718e+07 -5.3623769120362163e+07 -5.5031196840745680e+07 -5.6687232829102628e+07 -5.8633633492262088e+07 -6.0918442695298471e+07 -6.3596551492484100e+07 -6.6729950375047736e+07 -7.0387378188347712e+07 -7.4642299936814278e+07 -7.9570327006251931e+07 -8.5238083722096816e+07 -9.1689795103127047e+07 -9.8934930136049375e+07 -1.0691453457076408e+08 -1.1548293412557489e+08 -1.2438976631932497e+08 -1.3329063083332135e+08 -1.4178420822963977e+08 -1.4947168713921103e+08 -1.5602865412871850e+08 -1.6125289544872001e+08 -1.6508978029564989e+08 -1.6761381278252903e+08 -1.6899909820278418e+08 -1.6947305656454879e+08 -1.6927441534093446e+08 -1.6863437692059210e+08 -1.6774333329526106e+08 -1.6675596387711647e+08 -1.6578949726035771e+08 -1.6491133949803093e+08 -1.6416222044411954e+08 -1.6355300272405860e+08 -1.6306529277804551e+08 -1.6267820370548064e+08 -1.6235904249024302e+08 -1.6207971059207857e+08 -1.6182020237116024e+08 -1.6163835580399215e+08 -1.6145498800620556e+08 -1.6126798642898205e+08 -1.6107213826047352e+08 -1.6087009708525196e+08 -1.6065797519777605e+08 -1.6043334061367574e+08 -1.6019009962122363e+08 -1.5992974352637470e+08 -1.5964747241277415e+08 -1.5933953779163599e+08 -1.5900138488120660e+08 -1.5862788228777102e+08 -1.5821357176701775e+08 -1.5774985960530326e+08 -1.5723260869212794e+08 -1.5665261743915802e+08 -1.5600146211576211e+08 -1.5527007789641428e+08 -1.5444911593592262e+08 -1.5352919947374034e+08 -1.5250180203048351e+08 -1.5135924704665047e+08 -1.5009431315178525e+08 -1.4870590449560076e+08 -1.4719723345728391e+08 -1.4558013479906312e+08 -1.4387474733127773e+08 -1.4211940538749298e+08 -1.4037284954319134e+08 -1.3872017996389806e+08 -1.3729050842281780e+08 -1.3626281485174879e+08 -1.3589503401851991e+08 -1.3655637593450370e+08 -1.3878964334984291e+08 -1.4341706946582198e+08 -1.5174144731612492e+08 -1.6594240697847480e+08 7.1350561354401544e+07 +6.0676892297432405e-01 -4.6724404275003329e+07 -4.6643747405594014e+07 -4.6507792457376473e+07 -4.6333420807780020e+07 -4.6165417137370110e+07 -4.6070801461255461e+07 -4.6079052721200123e+07 -4.6139998749339797e+07 -4.6202955138372280e+07 -4.6258014851721205e+07 -4.6311548918370306e+07 -4.6364641383155860e+07 -4.6416322520653233e+07 -4.6466474270389415e+07 -4.6515549697781920e+07 -4.6563715228832781e+07 -4.6611277795241654e+07 -4.6658974148004688e+07 -4.6707716711950399e+07 -4.6758501894176044e+07 -4.6812413379378259e+07 -4.6870471473131940e+07 -4.6932369944031000e+07 -4.6997019346629292e+07 -4.7073220516967416e+07 -4.7168717978813745e+07 -4.7281421489700571e+07 -4.7411474836520761e+07 -4.7561718263160825e+07 -4.7735897638415001e+07 -4.7938394501331627e+07 -4.8174289898921520e+07 -4.8449474666492872e+07 -4.8770778553736530e+07 -4.9146121288902149e+07 -4.9584677780837111e+07 -5.0097072621196024e+07 -5.0695596909974977e+07 -5.1394460220963299e+07 -5.2210064386086740e+07 -5.3238194041826174e+07 -5.4450153157123826e+07 -5.5877497733632527e+07 -5.7556790513854615e+07 -5.9530260482272029e+07 -6.1846451884938896e+07 -6.4560761384635203e+07 -6.7735648811966062e+07 -7.1440215983511373e+07 -7.5748065485121772e+07 -8.0734569859472543e+07 -8.6465445090396866e+07 -9.2983042934926510e+07 -1.0029383337407011e+08 -1.0833447655770561e+08 -1.1695384783470230e+08 -1.2589574222928755e+08 -1.3481074746337864e+08 -1.4329466578432545e+08 -1.5094879743150595e+08 -1.5745196062095094e+08 -1.6260741909720707e+08 -1.6636705112899831e+08 -1.6881152376472974e+08 -1.7011998555850142e+08 -1.7052336368493134e+08 -1.7026237628828609e+08 -1.6956909850700939e+08 -1.6863388626286170e+08 -1.6761086950580290e+08 -1.6661649368330222e+08 -1.6571713929235268e+08 -1.6495253530559963e+08 -1.6433249031385645e+08 -1.6383753007955125e+08 -1.6344580663429621e+08 -1.6312370254906037e+08 -1.6284239962258294e+08 -1.6258141786902747e+08 -1.6239865017808563e+08 -1.6221439445084119e+08 -1.6202650509888431e+08 -1.6182973406478623e+08 -1.6162674304482144e+08 -1.6141362962284026e+08 -1.6118792450258729e+08 -1.6094354068485877e+08 -1.6068196126151285e+08 -1.6039836373585042e+08 -1.6008898198606154e+08 -1.5974923980660796e+08 -1.5937398166680077e+08 -1.5895772868696764e+08 -1.5849182172735846e+08 -1.5797213915746236e+08 -1.5738942113859689e+08 -1.5673520431795698e+08 -1.5600038123357984e+08 -1.5517555906633744e+08 -1.5425131695199183e+08 -1.5321909316163391e+08 -1.5207115097239518e+08 -1.5080026868390334e+08 -1.4940533086086974e+08 -1.4788956499423513e+08 -1.4626486150756392e+08 -1.4455145393089107e+08 -1.4278785690441680e+08 -1.4103309174973431e+08 -1.3937263680326581e+08 -1.3793624200566164e+08 -1.3690371583312082e+08 -1.3653421056982699e+08 -1.3719866419096956e+08 -1.3944243455238277e+08 -1.4409162446905053e+08 -1.5245516108791113e+08 -1.6672289662962243e+08 7.2335578934673503e+07 +6.1173724574858213e-01 -4.7445291558572419e+07 -4.7364792438295655e+07 -4.7229129768909656e+07 -4.7055146863391303e+07 -4.6887530244555488e+07 -4.6793159776546076e+07 -4.6801450133539625e+07 -4.6862332930715926e+07 -4.6925230964683451e+07 -4.6980262243616559e+07 -4.7033787171160139e+07 -4.7086891185289912e+07 -4.7138610129230820e+07 -4.7188830652280606e+07 -4.7238010111253038e+07 -4.7286320371818185e+07 -4.7334074858241804e+07 -4.7382017321780197e+07 -4.7431068159906104e+07 -4.7482233482466251e+07 -4.7536608458682895e+07 -4.7595227518233649e+07 -4.7657806356865250e+07 -4.7723294142146207e+07 -4.7800520031516202e+07 -4.7897239688222490e+07 -4.8011391147964709e+07 -4.8143157405050419e+07 -4.8295423805390432e+07 -4.8471988578236505e+07 -4.8677294245704062e+07 -4.8916492784781449e+07 -4.9195557367516354e+07 -4.9521413130712993e+07 -4.9902090131409556e+07 -5.0346890563542895e+07 -5.0866585483535305e+07 -5.1473634017760262e+07 -5.2182437867519543e+07 -5.3009617508198060e+07 -5.4052290527381316e+07 -5.5281314036575653e+07 -5.6728634097734727e+07 -5.8431245874716669e+07 -6.0431848472595982e+07 -6.2779482263428353e+07 -6.5530042567304306e+07 -6.8746447651019514e+07 -7.2498145790162519e+07 -7.6858853025019571e+07 -8.1903669491925254e+07 -8.7697358488199010e+07 -9.4280344988401413e+07 -1.0165604459880544e+08 -1.0975668707252036e+08 -1.1842568260562707e+08 -1.2740101754856762e+08 -1.3632835843793562e+08 -1.4480076589022136e+08 -1.5241980387292179e+08 -1.5886765295945197e+08 -1.6395313470691460e+08 -1.6763465810820967e+08 -1.6999902501204601e+08 -1.7123036971178094e+08 -1.7156305901230049e+08 -1.7123973838441953e+08 -1.7049330427643856e+08 -1.6951403906720775e+08 -1.6845549776888952e+08 -1.6743332742848605e+08 -1.6651287486746240e+08 -1.6573286517326665e+08 -1.6510205319733545e+08 -1.6459988699339056e+08 -1.6420356132602528e+08 -1.6387853816084418e+08 -1.6359528299077916e+08 -1.6333284414208934e+08 -1.6314916655392033e+08 -1.6296403409194529e+08 -1.6277526832632646e+08 -1.6257758630232492e+08 -1.6237365768156451e+08 -1.6215956565591219e+08 -1.6193280337250382e+08 -1.6168729146296188e+08 -1.6142450448048919e+08 -1.6113959763728029e+08 -1.6082878740573147e+08 -1.6048747643202946e+08 -1.6011048535891098e+08 -1.5969231507947642e+08 -1.5922424116014692e+08 -1.5870215824238884e+08 -1.5811674856161356e+08 -1.5745950965232620e+08 -1.5672129196458372e+08 -1.5589265927071607e+08 -1.5496414717026338e+08 -1.5392715927538985e+08 -1.5277389879143173e+08 -1.5149714464629754e+08 -1.5009576166257492e+08 -1.4857299224837607e+08 -1.4694078177219433e+08 -1.4521945726647717e+08 -1.4344771135855901e+08 -1.4168484263189325e+08 -1.4001670210366672e+08 -1.3857367055055574e+08 -1.3753637396096370e+08 -1.3716516659898838e+08 -1.3783269193603969e+08 -1.4008683013012010e+08 -1.4475750390442890e+08 -1.5315969580018786e+08 -1.6749334783496332e+08 7.3324213707418725e+07 +6.1670556852284020e-01 -4.8170521413056739e+07 -4.8090177775038257e+07 -4.7954805548598662e+07 -4.7781207575865969e+07 -4.7613975259159103e+07 -4.7519848058219008e+07 -4.7528178100156255e+07 -4.7588998493274704e+07 -4.7651839403484926e+07 -4.7706843287846580e+07 -4.7760360441921718e+07 -4.7813477173784241e+07 -4.7865235229767546e+07 -4.7915525839760937e+07 -4.7964810729494669e+07 -4.8013267200753219e+07 -4.8061215203017086e+07 -4.8109405491517097e+07 -4.8158766506744936e+07 -4.8210314088918358e+07 -4.8265154958072022e+07 -4.8324337714804731e+07 -4.8387600022639208e+07 -4.8453929738390394e+07 -4.8532184597847328e+07 -4.8630131605204530e+07 -4.8745737088835560e+07 -4.8879223338063397e+07 -4.9033520959709652e+07 -4.9212480734527342e+07 -4.9420606382292658e+07 -4.9663121056017257e+07 -4.9946080535246320e+07 -5.0276505644658640e+07 -5.0662537095763676e+07 -5.1113604716208085e+07 -5.1640626386604033e+07 -5.2256229616159953e+07 -5.2975008561069950e+07 -5.3813802599234097e+07 -5.4871065814264819e+07 -5.6117205616317049e+07 -5.7584557523256660e+07 -5.9310547745812580e+07 -6.1338342936791316e+07 -6.3717475195125937e+07 -6.6504331369585805e+07 -6.9762277048869118e+07 -7.3561090219260603e+07 -7.7974576016026825e+07 -8.3077528440270364e+07 -8.8933713776875556e+07 -9.5581577076763362e+07 -1.0302142513959022e+08 -1.1118101416139911e+08 -1.1989827663417137e+08 -1.2890542643777940e+08 -1.3784330147210783e+08 -1.4630235782775667e+08 -1.5388457408536512e+08 -1.6027562134042138e+08 -1.6528995625667763e+08 -1.6889253755813587e+08 -1.7117627202689183e+08 -1.7233022144347548e+08 -1.7259212476737475e+08 -1.7220649197792301e+08 -1.7140699009660074e+08 -1.7038379117928174e+08 -1.6928985041080803e+08 -1.6824000163187757e+08 -1.6729855019155553e+08 -1.6650321450271091e+08 -1.6586169611034241e+08 -1.6535236841074392e+08 -1.6495147275149310e+08 -1.6462355433243215e+08 -1.6433836571547538e+08 -1.6407448620890608e+08 -1.6388990994682002e+08 -1.6370391193944961e+08 -1.6351428111551675e+08 -1.6331569997180557e+08 -1.6311084598765653e+08 -1.6289578828266460e+08 -1.6266798220212927e+08 -1.6242135692746395e+08 -1.6215737814640886e+08 -1.6187117907154295e+08 -1.6155895899549067e+08 -1.6121609969177905e+08 -1.6083739828657654e+08 -1.6041733585410458e+08 -1.5994712279951862e+08 -1.5942267082664669e+08 -1.5883460456988430e+08 -1.5817438296034583e+08 -1.5743281490827635e+08 -1.5660042134235120e+08 -1.5566769489297631e+08 -1.5462600510430327e+08 -1.5346749520121825e+08 -1.5218494569729418e+08 -1.5077720151562607e+08 -1.4924751978769934e+08 -1.4760790011131012e+08 -1.4587876180310240e+08 -1.4409897316029951e+08 -1.4232810654570219e+08 -1.4065238017054406e+08 -1.3920279831868604e+08 -1.3816079346420020e+08 -1.3778790632330099e+08 -1.3845846340761515e+08 -1.4072283439037421e+08 -1.4541471222300646e+08 -1.5385505616216806e+08 -1.6825376574522710e+08 7.4316405417541608e+07 +6.2167389129709827e-01 -4.8900057541407749e+07 -4.8819868451518230e+07 -4.8684783811017312e+07 -4.8511567960264534e+07 -4.8344716287956275e+07 -4.8250831468344316e+07 -4.8259201054210946e+07 -4.8319960146503396e+07 -4.8382745322325699e+07 -4.8437722822510280e+07 -4.8491233437210739e+07 -4.8544364132850930e+07 -4.8596162567217328e+07 -4.8646524595633991e+07 -4.8695916283113770e+07 -4.8744520412842490e+07 -4.8792663509125389e+07 -4.8841103294869244e+07 -4.8890776354826771e+07 -4.8942708270947903e+07 -4.8998017386356793e+07 -4.9057766511721663e+07 -4.9121715324553505e+07 -4.9188890437753223e+07 -4.9268178421391509e+07 -4.9367357818261333e+07 -4.9484423262161367e+07 -4.9619636422414817e+07 -4.9775973320601910e+07 -4.9957337475223847e+07 -5.0168294012219176e+07 -5.0414137499076702e+07 -5.0701006584946483e+07 -5.1036018072647594e+07 -5.1427423641540818e+07 -5.1884781086692311e+07 -5.2419155454637207e+07 -5.3043342972286500e+07 -5.3772130552418955e+07 -5.4622576702925622e+07 -5.5694475392782934e+07 -5.6957781509586632e+07 -5.8445219349415809e+07 -6.0194644703334846e+07 -6.2249689083748743e+07 -6.4660371773571238e+07 -6.7483563846166655e+07 -7.0783066889616713e+07 -7.4628971621250063e+07 -7.9095147687493041e+07 -8.4256049071165040e+07 -9.0174400754201993e+07 -9.6886615121469393e+07 -1.0438983668920404e+08 -1.1260730657834013e+08 -1.2137146923980610e+08 -1.3040880462329565e+08 -1.3935541624207523e+08 -1.4779929311425799e+08 -1.5534297803317142e+08 -1.6167575823075429e+08 -1.6661779978209135e+08 -1.7014062756164542e+08 -1.7234322174499434e+08 -1.7341951266339356e+08 -1.7361054404156366e+08 -1.7316262808454582e+08 -1.7231015235163414e+08 -1.7124314247873753e+08 -1.7011392951051259e+08 -1.6903651971475673e+08 -1.6807416948591331e+08 -1.6726358798243079e+08 -1.6661142400834450e+08 -1.6609497943471146e+08 -1.6568954608898181e+08 -1.6535875627543992e+08 -1.6507165301927322e+08 -1.6480634929132921e+08 -1.6462088557477883e+08 -1.6443403320628989e+08 -1.6424354867374384e+08 -1.6404408027379185e+08 -1.6383831315734515e+08 -1.6362230269012418e+08 -1.6339346617209733e+08 -1.6314574225039747e+08 -1.6288058742346874e+08 -1.6259311319349554e+08 -1.6227950190041465e+08 -1.6193511471986055e+08 -1.6155472557203552e+08 -1.6113279611928645e+08 -1.6066047173922127e+08 -1.6013368198723412e+08 -1.5954299422156513e+08 -1.5887982927917552e+08 -1.5813495507795429e+08 -1.5729885026810691e+08 -1.5636196507739985e+08 -1.5531563557186028e+08 -1.5415194508924901e+08 -1.5286367668331912e+08 -1.5144965522187018e+08 -1.4991315236518055e+08 -1.4826622122535378e+08 -1.4652937218635526e+08 -1.4474164689857060e+08 -1.4296288802377531e+08 -1.4127967548298043e+08 -1.3982362974293151e+08 -1.3877697874286360e+08 -1.3840243413064334e+08 -1.3907598301485273e+08 -1.4135045181446421e+08 -1.4606325405560634e+08 -1.5454124707347941e+08 -1.6900415572013316e+08 7.5312094109672368e+07 +6.2664221407135634e-01 -4.9633865007163689e+07 -4.9553828885905653e+07 -4.9419029792344406e+07 -4.9246192781228520e+07 -4.9079719345863290e+07 -4.8986074333794177e+07 -4.8994483579228289e+07 -4.9055182619222030e+07 -4.9117913365745999e+07 -4.9172865727057301e+07 -4.9226370786073677e+07 -4.9279516644405767e+07 -4.9331356683031432e+07 -4.9381791475339234e+07 -4.9431291301679932e+07 -4.9480044510155760e+07 -4.9528384248183779e+07 -4.9577075167346403e+07 -4.9627062104294658e+07 -4.9679380385829449e+07 -4.9735160050188772e+07 -4.9795478154986367e+07 -4.9860116442311704e+07 -4.9928140338731386e+07 -5.0008465503607422e+07 -5.0108882211235620e+07 -5.0227413412848607e+07 -5.0364360239403702e+07 -5.0522744276184544e+07 -5.0706521960957810e+07 -5.0920320028280437e+07 -5.1169504690940239e+07 -5.1460297720853418e+07 -5.1799912178943828e+07 -5.2196711013522118e+07 -5.2660380305766709e+07 -5.3202132591943510e+07 -5.3834933130211130e+07 -5.4573761865680195e+07 -5.5435896632287249e+07 -5.6522474517233767e+07 -5.7802995088032328e+07 -5.9310570667731263e+07 -6.1083485069170550e+07 -6.3165831861493461e+07 -6.5608112826061599e+07 -6.8467675782701492e+07 -7.1808746791177034e+07 -7.5701712093431428e+07 -8.0220481046841860e+07 -8.5439133590878725e+07 -9.1419309165517658e+07 -9.8195335164756104e+07 -1.0576114131611086e+08 -1.1403541379475683e+08 -1.2284510087075238e+08 -1.3191098939301452e+08 -1.4086454437090889e+08 -1.4929142547866991e+08 -1.5679488798925230e+08 -1.6306795832968232e+08 -1.6793658333527297e+08 -1.7137886792242327e+08 -1.7349983250381145e+08 -1.7449821638508326e+08 -1.7461830077807033e+08 -1.7410813837369856e+08 -1.7320278793169007e+08 -1.7209209324737248e+08 -1.7092773747737023e+08 -1.6982288538106641e+08 -1.6883973722325841e+08 -1.6801399053220865e+08 -1.6735124206592003e+08 -1.6682772537974739e+08 -1.6641778672440240e+08 -1.6608414940717325e+08 -1.6579515032888961e+08 -1.6552843881455430e+08 -1.6534209885845867e+08 -1.6515440330783406e+08 -1.6496307641030160e+08 -1.6476273261133111e+08 -1.6455606458662966e+08 -1.6433911426687142e+08 -1.6410926066410312e+08 -1.6386045280536619e+08 -1.6359413767624205e+08 -1.6330540535833594e+08 -1.6299042146496993e+08 -1.6264452684972075e+08 -1.6226247253580043e+08 -1.6183870118168151e+08 -1.6136429327094400e+08 -1.6083519699840602e+08 -1.6024192277161270e+08 -1.5957585384183708e+08 -1.5882771768208364e+08 -1.5798795122884768e+08 -1.5704696287344664e+08 -1.5599605579342198e+08 -1.5482725353276768e+08 -1.5353334263940099e+08 -1.5211312776965025e+08 -1.5056989491855872e+08 -1.4891574999788037e+08 -1.4717129324248832e+08 -1.4537573734067139e+08 -1.4358919177412027e+08 -1.4189859269471145e+08 -1.4043616942896378e+08 -1.3938493436780328e+08 -1.3900875457948190e+08 -1.3968525533842868e+08 -1.4196968705784291e+08 -1.4670313421282038e+08 -1.5521827362438494e+08 -1.6974452332712302e+08 7.6311220127704591e+07 +6.3161053684561441e-01 -5.0371907832505338e+07 -5.0292023475796610e+07 -5.0157507369450435e+07 -4.9985046268751644e+07 -4.9818947638477288e+07 -4.9725541077540845e+07 -4.9733990453057550e+07 -4.9794630551662467e+07 -4.9857307938159645e+07 -4.9912236262457192e+07 -4.9965736958821267e+07 -5.0018899104580373e+07 -5.0070781963148259e+07 -5.0121290832963914e+07 -5.0170900121832401e+07 -5.0219803803280726e+07 -5.0268341686416902e+07 -5.0317285345601164e+07 -5.0367587954914637e+07 -5.0420294592132784e+07 -5.0476547055830158e+07 -5.0537436689654425e+07 -5.0602767353909269e+07 -5.0671643338122793e+07 -5.0753009643599018e+07 -5.0854668465690069e+07 -5.0974671082658403e+07 -5.1113358166636929e+07 -5.1273797010203347e+07 -5.1459997147165112e+07 -5.1676647117022805e+07 -5.1929185000981793e+07 -5.2223915938261911e+07 -5.2568149517290190e+07 -5.2970360243989184e+07 -5.3440362789286502e+07 -5.3989517485355683e+07 -5.4630958913507141e+07 -5.5379860300980411e+07 -5.6253718972084709e+07 -5.7355018208895855e+07 -5.8652799484692559e+07 -6.0180562325026982e+07 -6.1977016914260127e+07 -6.4086715960948691e+07 -6.6560638917901851e+07 -6.9456602700598225e+07 -7.2839246110439524e+07 -7.6779233486614630e+07 -8.1350488888105884e+07 -8.6626684055413976e+07 -9.2668328715237617e+07 -9.9507613381949693e+07 -1.0713520147664188e+08 -1.1546518600962223e+08 -1.2431901310916959e+08 -1.3341181959371120e+08 -1.4237052941520816e+08 -1.5077861083721223e+08 -1.5824017850125200e+08 -1.6445211852935472e+08 -1.6924622694632438e+08 -1.7260720012762260e+08 -1.7464606401072857e+08 -1.7556630670064974e+08 -1.7561537975217643e+08 -1.7504301515416914e+08 -1.7408489422376320e+08 -1.7293064416206846e+08 -1.7173127704675350e+08 -1.7059910261480111e+08 -1.6959525812653023e+08 -1.6875442730264813e+08 -1.6808115567634466e+08 -1.6755061177223817e+08 -1.6713620025064257e+08 -1.6679973934936357e+08 -1.6650886327452040e+08 -1.6624076040687788e+08 -1.6605355542173246e+08 -1.6586502786220306e+08 -1.6567286993692121e+08 -1.6547166258914387e+08 -1.6526410587353373e+08 -1.6504622860339776e+08 -1.6481537126103210e+08 -1.6456549416694543e+08 -1.6429803447014201e+08 -1.6400806112156212e+08 -1.6369172323428321e+08 -1.6334434161427414e+08 -1.6296064469805965e+08 -1.6253505654644176e+08 -1.6205859288451824e+08 -1.6152722133190536e+08 -1.6093139567134482e+08 -1.6026246207704136e+08 -1.5951110812391773e+08 -1.5866772959919506e+08 -1.5772269362360767e+08 -1.5666727107566491e+08 -1.5549342579921016e+08 -1.5419394878886056e+08 -1.5276762433379570e+08 -1.5121775257020539e+08 -1.4955649149490422e+08 -1.4780452997809106e+08 -1.4600124943226439e+08 -1.4420702268162259e+08 -1.4250913663315931e+08 -1.4104042215457058e+08 -1.3998466508103523e+08 -1.3960687239866877e+08 -1.4028628513012722e+08 -1.4258054495030209e+08 -1.4733435768570924e+08 -1.5588614109523439e+08 -1.7047487434201789e+08 7.7313724114330500e+07 +6.3657885961987248e-01 -5.1114150113517180e+07 -5.1034416489824682e+07 -5.0900181394874811e+07 -5.0728092633161396e+07 -5.0562366111414045e+07 -5.0469196407940008e+07 -5.0477685480165765e+07 -5.0538268166939028e+07 -5.0600893200583011e+07 -5.0655798653479636e+07 -5.0709296185218938e+07 -5.0762475727112561e+07 -5.0814402606698565e+07 -5.0864986815307356e+07 -5.0914706880386576e+07 -5.0963762406476818e+07 -5.1012499889961138e+07 -5.1061697870650597e+07 -5.1112317908084214e+07 -5.1165414850725725e+07 -5.1222142310191527e+07 -5.1283605962258354e+07 -5.1349631837875128e+07 -5.1419363132916905e+07 -5.1501774440486461e+07 -5.1604680062499955e+07 -5.1726159612415373e+07 -5.1866593379957639e+07 -5.2029094504053794e+07 -5.2217725785994209e+07 -5.2437237760776028e+07 -5.2693140593211234e+07 -5.2991823025649242e+07 -5.3340691432893291e+07 -5.3748332154651798e+07 -5.4224688740434170e+07 -5.4781269606471986e+07 -5.5431378927548856e+07 -5.6190383436648034e+07 -5.7076000081614144e+07 -5.8192061258792020e+07 -5.9507147597103946e+07 -6.1055144926735878e+07 -6.2875188062118247e+07 -6.5012285819977194e+07 -6.7517890356753960e+07 -7.0450279862206712e+07 -7.3874493949870080e+07 -7.7861457412208870e+07 -8.2485083799738809e+07 -8.7818602379762560e+07 -9.3921349077651054e+07 -1.0082332609341413e+08 -1.0851188002706607e+08 -1.1689647415935735e+08 -1.2579304867504086e+08 -1.3491113562718260e+08 -1.4387321685139549e+08 -1.5226070726881167e+08 -1.5967872635945985e+08 -1.6582813787750426e+08 -1.7054665258400044e+08 -1.7382556731384057e+08 -1.7578187731334421e+08 -1.7662375875630787e+08 -1.7660176655316499e+08 -1.7596725136084485e+08 -1.7495646910178769e+08 -1.7375879628892460e+08 -1.7252455127632165e+08 -1.7136517567764097e+08 -1.7034073716699678e+08 -1.6948490367431989e+08 -1.6880117045168561e+08 -1.6826364434945902e+08 -1.6784479246824482e+08 -1.6750553192933011e+08 -1.6721279769076294e+08 -1.6694331989984182e+08 -1.6675526109148225e+08 -1.6656591269024637e+08 -1.6637293506801426e+08 -1.6617087601458174e+08 -1.6596244281797493e+08 -1.6574365149167562e+08 -1.6551180374764344e+08 -1.6526087211094210e+08 -1.6499228357158962e+08 -1.6470108623919976e+08 -1.6438341295331618e+08 -1.6403456474634677e+08 -1.6364924777799270e+08 -1.6322186791780263e+08 -1.6274337626738718e+08 -1.6220976065689594e+08 -1.6161141856909338e+08 -1.6093965960924041e+08 -1.6018513200164834e+08 -1.5933819094767350e+08 -1.5838916286353150e+08 -1.5732928691679022e+08 -1.5615046734623775e+08 -1.5484550054353595e+08 -1.5341315027603069e+08 -1.5185673062744409e+08 -1.5018845096552950e+08 -1.4842908758062431e+08 -1.4661818829724854e+08 -1.4481638580716661e+08 -1.4311131230009902e+08 -1.4163639286985227e+08 -1.4057617579564390e+08 -1.4019679248801842e+08 -1.4087907731350619e+08 -1.4318303049589711e+08 -1.4795692964507595e+08 -1.5654485495723331e+08 -1.7119521474924815e+08 7.8319547010572404e+07 +6.4154718239413056e-01 -5.1860556092384808e+07 -5.1780972046094976e+07 -5.1647015247395806e+07 -5.1475296507378347e+07 -5.1309938911805116e+07 -5.1217004139603563e+07 -5.1225533471055754e+07 -5.1286059291948862e+07 -5.1348633474229820e+07 -5.1403516953300685e+07 -5.1457012406755753e+07 -5.1510210562295079e+07 -5.1562182605195396e+07 -5.1612843363257132e+07 -5.1662675504795298e+07 -5.1711884230870530e+07 -5.1760822731027357e+07 -5.1810276589699432e+07 -5.1861215768725611e+07 -5.1914704925518051e+07 -5.1971909522396900e+07 -5.2033949622462846e+07 -5.2100673475137673e+07 -5.2171263222328484e+07 -5.2254723295158453e+07 -5.2358880284222297e+07 -5.2481842143774249e+07 -5.2624028855546229e+07 -5.2788599538746685e+07 -5.2979670428447664e+07 -5.3202054239651181e+07 -5.3461333428160325e+07 -5.3763980566790812e+07 -5.4117499064642802e+07 -5.4530587359230071e+07 -5.5013318152080961e+07 -5.5577348213950440e+07 -5.6236151561730444e+07 -5.7005288631897949e+07 -5.7902696097102992e+07 -5.9033558230239309e+07 -6.0365992089895710e+07 -6.1934268840084977e+07 -6.3777946092382677e+07 -6.5942485627159074e+07 -6.8479807197000191e+07 -7.1448642275536060e+07 -7.4914419162928298e+07 -7.8948305249170080e+07 -8.3624178173165634e+07 -8.9014790348004460e+07 -9.5178259908231124e+07 -1.0214234977701990e+08 -1.0989104023507507e+08 -1.1832912992693399e+08 -1.2726705143069158e+08 -1.3640877944644663e+08 -1.4537245406058726e+08 -1.5373757499108636e+08 -1.6111041056366825e+08 -1.6719591754099396e+08 -1.7183778411891928e+08 -1.7503391423159459e+08 -1.7690723477006686e+08 -1.7767054872914201e+08 -1.7757744756691182e+08 -1.7688084054220879e+08 -1.7581751091881204e+08 -1.7457655107716787e+08 -1.7330756354150942e+08 -1.7212110910580480e+08 -1.7107617956286365e+08 -1.7020542525676906e+08 -1.6951129222083268e+08 -1.6896682906016880e+08 -1.6854356938473168e+08 -1.6820153317910528e+08 -1.6790695961580309e+08 -1.6763612332873136e+08 -1.6744722189748669e+08 -1.6725706381567118e+08 -1.6706327782023165e+08 -1.6686037889753288e+08 -1.6665108142201006e+08 -1.6643138892564061e+08 -1.6619856410976359e+08 -1.6594659261432561e+08 -1.6567689094758534e+08 -1.6538448666812906e+08 -1.6506549656668669e+08 -1.6471520217805681e+08 -1.6432828769386122e+08 -1.6389914119829002e+08 -1.6341864930594680e+08 -1.6288282083988473e+08 -1.6228199730952990e+08 -1.6160745225912765e+08 -1.6084979510859609e+08 -1.5999934103702798e+08 -1.5904637632121369e+08 -1.5798210900631320e+08 -1.5679838382102460e+08 -1.5548800350357184e+08 -1.5404971114496171e+08 -1.5248683458241510e+08 -1.5081163384118205e+08 -1.4904497141816792e+08 -1.4722655923833096e+08 -1.4541728638796943e+08 -1.4370512487174201e+08 -1.4222408669740024e+08 -1.4115947159594482e+08 -1.4077851991782278e+08 -1.4146363698332563e+08 -1.4377714887291977e+08 -1.4857085544202119e+08 -1.5719442087216124e+08 -1.7190555074141511e+08 7.9328630055311590e+07 +6.4651550516838863e-01 -5.2611089329253793e+07 -5.2531652892455645e+07 -5.2397972439924978e+07 -5.2226620532329746e+07 -5.2061629445373870e+07 -5.1968928089272045e+07 -5.1977497703518353e+07 -5.2037967814392969e+07 -5.2100492351197556e+07 -5.2155355093206719e+07 -5.2208849404931314e+07 -5.2262067422977522e+07 -5.2314085758487746e+07 -5.2364824227285013e+07 -5.2414769715994306e+07 -5.2464132981680617e+07 -5.2513273891732775e+07 -5.2562985156081662e+07 -5.2614245147218786e+07 -5.2668128384784505e+07 -5.2725812205457039e+07 -5.2788431124967448e+07 -5.2855855651088148e+07 -5.2927306909797661e+07 -5.3011819412481852e+07 -5.3117232216633782e+07 -5.3241681621394388e+07 -5.3385627371803246e+07 -5.3552274696953662e+07 -5.3745793426292725e+07 -5.3971058633566380e+07 -5.4233725265213743e+07 -5.4540349942741297e+07 -5.4898533347180247e+07 -5.5317086265303306e+07 -5.5806210808917344e+07 -5.6377712355889261e+07 -5.7045234992134362e+07 -5.7824533029225200e+07 -5.8733762934386551e+07 -5.9879463461742453e+07 -6.1229285398079842e+07 -6.2817884197142996e+07 -6.4685238344138473e+07 -6.6877259325749502e+07 -6.9446329244191006e+07 -7.2451624699779496e+07 -7.5958950360226259e+07 -8.0039698150765359e+07 -8.4767684210918322e+07 -9.0215149622760773e+07 -9.6438950854661554e+07 -1.0346456107914808e+08 -1.1127254579143645e+08 -1.1976300575076178e+08 -1.2874086638503209e+08 -1.3790459455192280e+08 -1.4686809031620303e+08 -1.5520907633672696e+08 -1.6253511229210186e+08 -1.6855536076948336e+08 -1.7311954728725561e+08 -1.7623218721223047e+08 -1.7802210002107018e+08 -1.7870665380396023e+08 -1.7854240995808288e+08 -1.7778377684742233e+08 -1.7666801849719849e+08 -1.7538391035346299e+08 -1.7408031753256780e+08 -1.7286690770854616e+08 -1.7180159077735174e+08 -1.7091599788757050e+08 -1.7021152703108156e+08 -1.6966017206364310e+08 -1.6923253721459061e+08 -1.6888774933603853e+08 -1.6859135529212964e+08 -1.6831917693162084e+08 -1.6812944407259399e+08 -1.6793848746471033e+08 -1.6774390441323701e+08 -1.6754017744932100e+08 -1.6733002788943473e+08 -1.6710944710093209e+08 -1.6687565853481859e+08 -1.6662266185449746e+08 -1.6635186276597843e+08 -1.6605826856494880e+08 -1.6573798021990305e+08 -1.6538626004164046e+08 -1.6499777056311107e+08 -1.6456688248921821e+08 -1.6408441808380383e+08 -1.6354640794464520e+08 -1.6294313793436867e+08 -1.6226584604310438e+08 -1.6150510343276513e+08 -1.6065118582359633e+08 -1.5969433991745043e+08 -1.5862574322535694e+08 -1.5743718106131852e+08 -1.5612146345781660e+08 -1.5467731267556536e+08 -1.5310807011199284e+08 -1.5142604573664001e+08 -1.4965218703950337e+08 -1.4782636773642784e+08 -1.4600972983717185e+08 -1.4429057969789830e+08 -1.4280350893222827e+08 -1.4173455773711023e+08 -1.4135205992880660e+08 -1.4203996940626296e+08 -1.4436290543391627e+08 -1.4917614060741311e+08 -1.5783484469201356e+08 -1.7260588871981782e+08 8.0340914784813732e+07 +6.5148382794264670e-01 -5.3365713952850752e+07 -5.3286424603266448e+07 -5.3153017364783444e+07 -5.2982029843569651e+07 -5.2817401386890873e+07 -5.2724931981921501e+07 -5.2733542103147164e+07 -5.2793957646970965e+07 -5.2856433495030873e+07 -5.2911276635328338e+07 -5.2964770835658334e+07 -5.3018009881843127e+07 -5.3070075655959040e+07 -5.3120892975879088e+07 -5.3170953042038798e+07 -5.3220472162917294e+07 -5.3269816864652224e+07 -5.3319787028961793e+07 -5.3371369461043037e+07 -5.3425648602412753e+07 -5.3483813678536125e+07 -5.3547013731262423e+07 -5.3615141557524092e+07 -5.3687457304861568e+07 -5.3773025803121075e+07 -5.3879698751144961e+07 -5.4005640794848919e+07 -5.4151351511399552e+07 -5.4320082365022264e+07 -5.4516056934224732e+07 -5.4744212824509077e+07 -5.5010277664458998e+07 -5.5320892334171370e+07 -5.5683755013187654e+07 -5.6107789076613277e+07 -5.6603326289755039e+07 -5.7182320872045845e+07 -5.7858587183712617e+07 -5.8648073556965232e+07 -5.9569156291672632e+07 -6.0729731069793910e+07 -6.2096979729707211e+07 -6.3705940898187503e+07 -6.5597011919555448e+07 -6.7816550617384568e+07 -7.0417396059526041e+07 -7.3459161650188133e+07 -7.7008015915129334e+07 -8.1135557051743269e+07 -8.5915513934659287e+07 -9.1419581754510120e+07 -9.7703311567262769e+07 -1.0478983682701020e+08 -1.1265626082080191e+08 -1.2119795483373100e+08 -1.3021433969637866e+08 -1.3939842598629647e+08 -1.4835997676936308e+08 -1.5667507572983351e+08 -1.6395271487011436e+08 -1.6990637285997140e+08 -1.7439186965516526e+08 -1.7742033413560078e+08 -1.7912643796158385e+08 -1.7973205215220138e+08 -1.7949664165407428e+08 -1.7867605501484418e+08 -1.7750799112084538e+08 -1.7618087631604847e+08 -1.7484281725014368e+08 -1.7360257656486517e+08 -1.7251697651827785e+08 -1.7161662763143343e+08 -1.7090188114569700e+08 -1.7034367972952095e+08 -1.6991170237919724e+08 -1.6956418684209120e+08 -1.6926599116559991e+08 -1.6899248715002492e+08 -1.6880193405258799e+08 -1.6861019006629264e+08 -1.6841482126838595e+08 -1.6821027808430839e+08 -1.6799928862649420e+08 -1.6777783241448641e+08 -1.6754309341169611e+08 -1.6728908621119508e+08 -1.6701720539561093e+08 -1.6672243828721735e+08 -1.6640087025763264e+08 -1.6604774466833952e+08 -1.6565770270249635e+08 -1.6522509809055188e+08 -1.6474068888305664e+08 -1.6420052823268774e+08 -1.6359484668166345e+08 -1.6291484717347795e+08 -1.6215106315728250e+08 -1.6129373145759082e+08 -1.6033305976618451e+08 -1.5926019564644882e+08 -1.5806686509460402e+08 -1.5674588638324389e+08 -1.5529596078963268e+08 -1.5372044307774076e+08 -1.5203169244902322e+08 -1.5025074017378753e+08 -1.4841761945085230e+08 -1.4659372174468920e+08 -1.4486768230308041e+08 -1.4337466504156375e+08 -1.4230143964546975e+08 -1.4191741793248197e+08 -1.4260808001988566e+08 -1.4494030570565373e+08 -1.4977279085259271e+08 -1.5846613245963249e+08 -1.7329623529389608e+08 8.1356343032251835e+07 +6.5645215071690477e-01 -5.4124392579688810e+07 -5.4045248695147142e+07 -5.3912113332737014e+07 -5.3741486172059499e+07 -5.3577218842609435e+07 -5.3484979445614770e+07 -5.3493629918361098e+07 -5.3553992261140436e+07 -5.3616420724055596e+07 -5.3671244949000373e+07 -5.3724740209553458e+07 -5.3778001314543903e+07 -5.3830115670920119e+07 -5.3881012996018238e+07 -5.3931188830965288e+07 -5.3980865087611675e+07 -5.4030414950795434e+07 -5.4080645473384172e+07 -5.4132551936265938e+07 -5.4187228760016322e+07 -5.4245877069537356e+07 -5.4309660511082128e+07 -5.4378494194502369e+07 -5.4451677325364716e+07 -5.4538305285645969e+07 -5.4646242586546868e+07 -5.4773682220620885e+07 -5.4921163663390540e+07 -5.5091984734988883e+07 -5.5290422911782302e+07 -5.5521478498386465e+07 -5.5790951988945365e+07 -5.6105568723327741e+07 -5.6473124595543355e+07 -5.6902655795406416e+07 -5.7404623969798900e+07 -5.7991132396271132e+07 -5.8676165892799690e+07 -5.9475866931711018e+07 -6.0408831651829295e+07 -6.1584314951637477e+07 -6.2969027069161177e+07 -6.4598388614754289e+07 -6.6513213687469937e+07 -6.8760302966318190e+07 -7.1392946964198187e+07 -7.4471187402744859e+07 -7.8061543969768554e+07 -8.2235802674869508e+07 -8.7067579193482608e+07 -9.2627988191356450e+07 -9.8971231710209221e+07 -1.0611805403980578e+08 -1.1404204989332540e+08 -1.2263383115203021e+08 -1.3168731867682013e+08 -1.4089012033158436e+08 -1.4984796643499926e+08 -1.5813543966262141e+08 -1.6536310374002373e+08 -1.7124886112307787e+08 -1.7565468058441496e+08 -1.7859830439827433e+08 -1.8022021471439210e+08 -1.8074672290972582e+08 -1.8044013132844621e+08 -1.7955767036017910e+08 -1.7833742852703303e+08 -1.7696745152962008e+08 -1.7559506700208819e+08 -1.7432812102209422e+08 -1.7322234273562151e+08 -1.7230732077981636e+08 -1.7158236104463771e+08 -1.7101735863793167e+08 -1.7058107150687277e+08 -1.7023085234407455e+08 -1.6993087388593107e+08 -1.6965606062890860e+08 -1.6946469847610256e+08 -1.6927217825231308e+08 -1.6907603501004910e+08 -1.6887068741835183e+08 -1.6865887024059713e+08 -1.6843655146519154e+08 -1.6820087533023110e+08 -1.6794587226422462e+08 -1.6767292540564299e+08 -1.6737700239247599e+08 -1.6705417322513145e+08 -1.6669966258955324e+08 -1.6630809062765723e+08 -1.6587379450051725e+08 -1.6538746818356478e+08 -1.6484518816272286e+08 -1.6423712998627630e+08 -1.6355446205804545e+08 -1.6278768066011968e+08 -1.6192698428334326e+08 -1.6096254217354760e+08 -1.5988547253332841e+08 -1.5868744213845044e+08 -1.5736127844548073e+08 -1.5590566159556538e+08 -1.5432395952616736e+08 -1.5262857995839158e+08 -1.5084063673080847e+08 -1.4900032021937460e+08 -1.4716926787609628e+08 -1.4543643838549373e+08 -1.4393756066500533e+08 -1.4286012291830555e+08 -1.4247459951096493e+08 -1.4316797443332472e+08 -1.4550935538907582e+08 -1.5036081206842065e+08 -1.5908829040792811e+08 -1.7397659728120029e+08 8.2374856927225217e+07 +6.6142047349116284e-01 -5.4887088458082728e+07 -5.4808089168313146e+07 -5.4675223666026063e+07 -5.4504954148347475e+07 -5.4341044491010144e+07 -5.4249033590853468e+07 -5.4257725162306145e+07 -5.4318034878235504e+07 -5.4380416793377377e+07 -5.4435223379578352e+07 -5.4488720763736390e+07 -5.4542004945025846e+07 -5.4594168984771743e+07 -5.4645147489764027e+07 -5.4695440255699322e+07 -5.4745274887618050e+07 -5.4795031258196726e+07 -5.4845523561908245e+07 -5.4897755609270133e+07 -5.4952831848645411e+07 -5.5011965317303419e+07 -5.5076334344451442e+07 -5.5145876372246228e+07 -5.5219929699140370e+07 -5.5307620488516636e+07 -5.5416826231078640e+07 -5.5545768264041185e+07 -5.5695026025104225e+07 -5.5867943806659676e+07 -5.6068853125610746e+07 -5.6302817147215843e+07 -5.6575709406746857e+07 -5.6894339896299347e+07 -5.7266602429340631e+07 -5.7701646224513136e+07 -5.8210063022885390e+07 -5.8804105358738288e+07 -5.9497928669629656e+07 -6.0307869660962999e+07 -6.1252744285395697e+07 -6.2443168787795626e+07 -6.3845379179833822e+07 -6.5495176793088511e+07 -6.7433790286818877e+07 -6.9708459603136331e+07 -7.2372921043703198e+07 -7.5487635999884680e+07 -7.9119462441119328e+07 -8.3340355538358092e+07 -8.8223791671830371e+07 -9.3840270288284495e+07 -1.0024260097182013e+08 -1.0744908994004673e+08 -1.1542977803499979e+08 -1.2407048946268529e+08 -1.3315965179474126e+08 -1.4237952570330662e+08 -1.5133191417849362e+08 -1.5959003667303824e+08 -1.6676616643065429e+08 -1.7258273484902686e+08 -1.7690791119829953e+08 -1.7976604888314450e+08 -1.8130339760458332e+08 -1.8175064615691334e+08 -1.8137286838612726e+08 -1.8042861876509905e+08 -1.7915633089880991e+08 -1.7774363891982213e+08 -1.7633707139964044e+08 -1.7504354669312569e+08 -1.7391769562077597e+08 -1.7298808384937263e+08 -1.7225297342360464e+08 -1.7168121557905334e+08 -1.7124065143229687e+08 -1.7088775269367257e+08 -1.7058601030703971e+08 -1.7030990421564886e+08 -1.7011774418467250e+08 -1.6992445885687092e+08 -1.6972755246458095e+08 -1.6952141226952618e+08 -1.6930877954144090e+08 -1.6908561105352402e+08 -1.6884901108233890e+08 -1.6859302679448900e+08 -1.6831902956615600e+08 -1.6802196763878629e+08 -1.6769789586722669e+08 -1.6734202053552234e+08 -1.6694894105327401e+08 -1.6651297841623965e+08 -1.6602476266308868e+08 -1.6548039439040333e+08 -1.6486999447938088e+08 -1.6418469730045977e+08 -1.6341496251375753e+08 -1.6255095083853155e+08 -1.6158279363845330e+08 -1.6050158034131294e+08 -1.5929891859994799e+08 -1.5796764599820176e+08 -1.5650642138859659e+08 -1.5491862568829715e+08 -1.5321671442705145e+08 -1.5142188280113700e+08 -1.4957447605789629e+08 -1.4773637417310128e+08 -1.4599685381742814e+08 -1.4449220161435604e+08 -1.4341061332398766e+08 -1.4302361041676214e+08 -1.4371965842688915e+08 -1.4607006035919216e+08 -1.5094021032596940e+08 -1.5970132496051022e+08 -1.7464698170784402e+08 8.3396398895276800e+07 +6.6638879626542091e-01 -5.5653765213220194e+07 -5.5574908924908102e+07 -5.5442310484755158e+07 -5.5272396921112671e+07 -5.5108841460921988e+07 -5.5017057910925582e+07 -5.5025790280378357e+07 -5.5086048466806017e+07 -5.5148384986376539e+07 -5.5203175039009571e+07 -5.5256675489384703e+07 -5.5309983832810551e+07 -5.5362198623263150e+07 -5.5413259468549408e+07 -5.5463670309865870e+07 -5.5513664517816283e+07 -5.5563628702794723e+07 -5.5614384177713946e+07 -5.5666943327914402e+07 -5.5722420670699425e+07 -5.5782041174082994e+07 -5.5846997923708044e+07 -5.5917250712932847e+07 -5.5992176966040589e+07 -5.6080933852087997e+07 -5.6191412004332960e+07 -5.6321861101530068e+07 -5.6472900604242042e+07 -5.6647921389584363e+07 -5.6851309151373670e+07 -5.7088190071103722e+07 -5.7364510893001407e+07 -5.7687166445000276e+07 -5.8064148654242791e+07 -5.8504719969602145e+07 -5.9019602423812792e+07 -5.9621197988476239e+07 -6.0323832860481523e+07 -6.1144038045485497e+07 -6.2100849252929263e+07 -6.3306246045349255e+07 -6.4725987607389428e+07 -6.6396254657158062e+07 -6.8358688130162597e+07 -7.0660963528607786e+07 -7.3357257152347520e+07 -7.6508441254923955e+07 -8.0181699026442409e+07 -8.4449135962115765e+07 -8.9384062897590846e+07 -9.5056329316529647e+07 -1.0151730907513314e+08 -1.0878282196469644e+08 -1.1681931073827597e+08 -1.2550778531216307e+08 -1.3463118867783663e+08 -1.4386649174674544e+08 -1.5281167670148492e+08 -1.6103873732137653e+08 -1.6816179252819920e+08 -1.7390790527472496e+08 -1.7815149434947929e+08 -1.8092351992924049e+08 -1.8237595513361797e+08 -1.8274380289808005e+08 -1.8229484294781750e+08 -1.8128889666719216e+08 -1.7996469885717741e+08 -1.7850944176821408e+08 -1.7706883535494465e+08 -1.7574885945503128e+08 -1.7460304160484752e+08 -1.7365892358167896e+08 -1.7291372519363788e+08 -1.7233525755222970e+08 -1.7189044919639084e+08 -1.7153489494684035e+08 -1.7123140748569310e+08 -1.7095402496137697e+08 -1.7076107822213289e+08 -1.7056703891636562e+08 -1.7036938066040272e+08 -1.7016245965810430e+08 -1.6994902354010132e+08 -1.6972501818092629e+08 -1.6948750765998814e+08 -1.6923055678421420e+08 -1.6895552484748584e+08 -1.6865734098426238e+08 -1.6833204512843156e+08 -1.6797482543626827e+08 -1.6758026089276719e+08 -1.6714265673276481e+08 -1.6665257919724560e+08 -1.6610615376883337e+08 -1.6549344698871037e+08 -1.6480555970005220e+08 -1.6403291548562065e+08 -1.6316563785464939e+08 -1.6219382085224816e+08 -1.6110852571652830e+08 -1.5990130107643905e+08 -1.5856499558334264e+08 -1.5709824664956787e+08 -1.5550444797974193e+08 -1.5379610220018828e+08 -1.5199448465523106e+08 -1.5014009316052672e+08 -1.4829504675380638e+08 -1.4654893464520016e+08 -1.4503859387343076e+08 -1.4395291680145115e+08 -1.4356445657223678e+08 -1.4426313795236403e+08 -1.4662242666503245e+08 -1.5151099187609845e+08 -1.6030524273099449e+08 -1.7530739580769825e+08 8.4420911657405809e+07 +6.7135711903967898e-01 -5.6424385525061361e+07 -5.6345671000640698e+07 -5.6213337373637706e+07 -5.6043776366572544e+07 -5.5880573209111631e+07 -5.5789014649327181e+07 -5.5797788554270238e+07 -5.5857996100100681e+07 -5.5920288402102292e+07 -5.5975062824424334e+07 -5.6028567280929565e+07 -5.6081900819919176e+07 -5.6134167455130510e+07 -5.6185311752710059e+07 -5.6235841799526013e+07 -5.6285996753270715e+07 -5.6336170012910299e+07 -5.6387190018467940e+07 -5.6440077753806368e+07 -5.6495957841535047e+07 -5.6556067207393743e+07 -5.6621613755455807e+07 -5.6692579652600542e+07 -5.6768381479956366e+07 -5.6858207630430959e+07 -5.6969962039358959e+07 -5.7101922722405188e+07 -5.7254749221101277e+07 -5.7431879105191119e+07 -5.7637752375863291e+07 -5.7877558380592406e+07 -5.8157317232276611e+07 -5.8484008769601740e+07 -5.8865723216607668e+07 -5.9311836441477142e+07 -5.9833200950634986e+07 -6.0442368315565787e+07 -6.1153835610486269e+07 -6.1984328182028256e+07 -6.2953101407877520e+07 -6.4173499980349883e+07 -6.5610803682455137e+07 -6.7301571212074697e+07 -6.9287853407191619e+07 -7.1617757517878443e+07 -7.4345893917816773e+07 -7.7533536757644564e+07 -8.1248181209513783e+07 -8.5562064075063586e+07 -9.0548304250303596e+07 -9.6276066472875759e+07 -1.0279524578844400e+08 -1.1011912777620108e+08 -1.1821051397254677e+08 -1.2694557504367128e+08 -1.3610178011598197e+08 -1.4535086963180935e+08 -1.5428711252850232e+08 -1.6248141416846618e+08 -1.6954987364728677e+08 -1.7522428555153263e+08 -1.7938536458783323e+08 -1.8207067130296904e+08 -1.8343785695585993e+08 -1.8372617504323536e+08 -1.8320604583564830e+08 -1.8213850104871175e+08 -1.8076253345425892e+08 -1.7926486370765591e+08 -1.7779036407709071e+08 -1.7644406544542104e+08 -1.7527838735757551e+08 -1.7431984694232264e+08 -1.7356462348060116e+08 -1.7297949176652345e+08 -1.7253047204636413e+08 -1.7217228636391506e+08 -1.7186707268229365e+08 -1.7158843011953759e+08 -1.7139470783523092e+08 -1.7119992566984835e+08 -1.7100152682834035e+08 -1.7079383680564189e+08 -1.7057960944943419e+08 -1.7035478005060047e+08 -1.7011637225679943e+08 -1.6985846941545114e+08 -1.6958241842048490e+08 -1.6928312958691791e+08 -1.6895662815312076e+08 -1.6859808442076030e+08 -1.6820205725850987e+08 -1.6776283654355434e+08 -1.6727092485934135e+08 -1.6672247334794357e+08 -1.6610749453815600e+08 -1.6541705625154123e+08 -1.6464154653744721e+08 -1.6377105225691193e+08 -1.6279563069874313e+08 -1.6170631549680257e+08 -1.6049459635437033e+08 -1.5915333393078443e+08 -1.5768114404640555e+08 -1.5608143300036770e+08 -1.5436674980540642e+08 -1.5255844874403670e+08 -1.5069717789950135e+08 -1.4884529191150731e+08 -1.4709268708883652e+08 -1.4557674359824166e+08 -1.4448703946040770e+08 -1.4409714407099175e+08 -1.4479841913252035e+08 -1.4716646052940986e+08 -1.5207316314897847e+08 -1.6090005052305317e+08 -1.7595784702261728e+08 8.5448338229578987e+07 +6.7632544181393706e-01 -5.7198911369686835e+07 -5.7120337333187334e+07 -5.6988268024727650e+07 -5.6819055445080474e+07 -5.6656202348179378e+07 -5.6564867653280549e+07 -5.6573682232147485e+07 -5.6633840481463775e+07 -5.6696089684107319e+07 -5.6750849339468144e+07 -5.6804358857960142e+07 -5.6857718544721097e+07 -5.6910038157187752e+07 -5.6961266971878976e+07 -5.7011917336859934e+07 -5.7062234184559382e+07 -5.7112617734829538e+07 -5.7163903600302026e+07 -5.7217121364625141e+07 -5.7273405791978985e+07 -5.7334005801777996e+07 -5.7400144163167633e+07 -5.7471825443155721e+07 -5.7548505410928726e+07 -5.7639403893513054e+07 -5.7752438284636021e+07 -5.7885914931032084e+07 -5.8040533510368064e+07 -5.8219778388830140e+07 -5.8428143999089062e+07 -5.8670882998431668e+07 -5.8954089020353347e+07 -5.9284827080290414e+07 -5.9671285871716507e+07 -6.0122954858258829e+07 -6.0650817186967514e+07 -6.1267574173541993e+07 -6.1987893865725845e+07 -6.2828695965738133e+07 -6.3809455399091646e+07 -6.5044883640824966e+07 -6.6499778523942620e+07 -6.8211075247032091e+07 -7.0221232088436499e+07 -7.2578784124064580e+07 -7.5338769745486289e+07 -7.8562855878988102e+07 -8.2318836266244248e+07 -8.6679059821600229e+07 -9.1716426968904212e+07 -9.7499382888945907e+07 -1.0407630093556909e+08 -1.1145788527324907e+08 -1.1960325419410346e+08 -1.2838371580533893e+08 -1.3757127806362695e+08 -1.4683251204799342e+08 -1.5575808199317223e+08 -1.6391794175344259e+08 -1.7093030340223533e+08 -1.7653179071409523e+08 -1.8060945812849757e+08 -1.8320745816942161e+08 -1.8448907385345730e+08 -1.8469774538815036e+08 -1.8410646855955973e+08 -1.8297742942670262e+08 -1.8154983616596961e+08 -1.8000990871730152e+08 -1.7850166306887978e+08 -1.7712917106238291e+08 -1.7594373978592786e+08 -1.7497086111979374e+08 -1.7420567562468892e+08 -1.7361392563980576e+08 -1.7316072743523383e+08 -1.7279993440950885e+08 -1.7249301336062348e+08 -1.7221312714641899e+08 -1.7201864047320443e+08 -1.7182312655828232e+08 -1.7162399840079212e+08 -1.7141555113592976e+08 -1.7120054468366924e+08 -1.7097490406661931e+08 -1.7073561226732805e+08 -1.7047677207148886e+08 -1.7019971765623951e+08 -1.6989934080468974e+08 -1.6957165228493303e+08 -1.6921180481703395e+08 -1.6881433746132290e+08 -1.6837352514010227e+08 -1.6787980691982716e+08 -1.6732936037451744e+08 -1.6671214434763387e+08 -1.6601919414466828e+08 -1.6524086282555586e+08 -1.6436720116334155e+08 -1.6338823025357294e+08 -1.6229495671000886e+08 -1.6107881141014737e+08 -1.5973266795842555e+08 -1.5825512043296269e+08 -1.5664958753444228e+08 -1.5492866395194599e+08 -1.5311378169860968e+08 -1.5124573682487765e+08 -1.4938711611574906e+08 -1.4762811754204872e+08 -1.4610665711637685e+08 -1.4501298758124349e+08 -1.4462167917598552e+08 -1.4532550826070508e+08 -1.4770216834898242e+08 -1.5262673075472873e+08 -1.6148575533041790e+08 -1.7659834300238991e+08 8.6478621922237799e+07 +6.8129376458819513e-01 -5.7977305518336795e+07 -5.7898871716027878e+07 -5.7767062442878969e+07 -5.7598197744738951e+07 -5.7435690693328246e+07 -5.7344578536601759e+07 -5.7353434115091868e+07 -5.7413544229381487e+07 -5.7475751303511262e+07 -5.7530497091855317e+07 -5.7584012768623471e+07 -5.7637399514495313e+07 -5.7689773179659404e+07 -5.7741087563618548e+07 -5.7791859340787210e+07 -5.7842339215116285e+07 -5.7892934237989090e+07 -5.7944487260671966e+07 -5.7998036456818901e+07 -5.8054726771019913e+07 -5.8115819160384022e+07 -5.8182551289076336e+07 -5.8254950154523462e+07 -5.8332510746944018e+07 -5.8424484529103331e+07 -5.8538802505972460e+07 -5.8673799348946244e+07 -5.8830214923358187e+07 -5.9011580491700605e+07 -5.9222445036395244e+07 -5.9468124661983192e+07 -5.9754786666687556e+07 -6.0089581399920814e+07 -6.0480796186014950e+07 -6.0938034247724190e+07 -6.1472409524271056e+07 -6.2096773201871462e+07 -6.2825964375961311e+07 -6.3677097092786647e+07 -6.4669865673587628e+07 -6.5920349869565189e+07 -6.7392863041937530e+07 -6.9124715339110136e+07 -7.1158769928795338e+07 -7.3543985682706967e+07 -7.6335822822794855e+07 -7.9596331776248217e+07 -8.3393591270762727e+07 -8.7800042968890741e+07 -9.2888342159820467e+07 -9.8726179640162721e+07 -1.0536036440607716e+08 -1.1279897260158126e+08 -1.2099739835621768e+08 -1.2982206555647738e+08 -1.3903953564177972e+08 -1.4831127319946915e+08 -1.5722444722476509e+08 -1.6534819657196832e+08 -1.7230297737988603e+08 -1.7783033764933270e+08 -1.8182371282251102e+08 -1.8433383706558752e+08 -1.8552957771498707e+08 -1.8565849759677202e+08 -1.8499610330266762e+08 -1.8380567984386510e+08 -1.8232660888519692e+08 -1.8074458111802757e+08 -1.7920273812456590e+08 -1.7780418296121517e+08 -1.7659910603305805e+08 -1.7561197352489612e+08 -1.7483688917981669e+08 -1.7423856679843244e+08 -1.7378122302169847e+08 -1.7341784675231981e+08 -1.7310923718734244e+08 -1.7282812370082837e+08 -1.7263288378720847e+08 -1.7243664922477025e+08 -1.7223680301202783e+08 -1.7202761027379942e+08 -1.7181183685805753e+08 -1.7158539783411962e+08 -1.7134523528630254e+08 -1.7108547233589572e+08 -1.7080743012567830e+08 -1.7050598219537380e+08 -1.7017712506689951e+08 -1.6981599415208179e+08 -1.6941710901041412e+08 -1.6897473001179904e+08 -1.6847923284695259e+08 -1.6792682229197887e+08 -1.6730740383328274e+08 -1.6661198076477155e+08 -1.6583087170039991e+08 -1.6495409188558766e+08 -1.6397162678484070e+08 -1.6287445657532117e+08 -1.6165395340917599e+08 -1.6030300477187198e+08 -1.5882018284899536e+08 -1.5720891855031964e+08 -1.5548185153180745e+08 -1.5366049032996428e+08 -1.5178577666450167e+08 -1.4992052601154426e+08 -1.4815523257200003e+08 -1.4662834092756498e+08 -1.4553076761492714e+08 -1.4513806832042229e+08 -1.4584441180143720e+08 -1.4822955669393080e+08 -1.5317170148271525e+08 -1.6206236433679754e+08 -1.7722889160420540e+08 8.7511706339803219e+07 +6.8626208736245320e-01 -5.8759531529687472e+07 -5.8681234970796056e+07 -5.8549685116466664e+07 -5.8381164155001670e+07 -5.8219001015945189e+07 -5.8128109805923037e+07 -5.8137006824315421e+07 -5.8197069336457178e+07 -5.8259235611586556e+07 -5.8313968457359284e+07 -5.8367491317753412e+07 -5.8420906078667469e+07 -5.8473334788625889e+07 -5.8524735776546784e+07 -5.8575630042999133e+07 -5.8626274064446270e+07 -5.8677081718075290e+07 -5.8728903159979686e+07 -5.8782785148232847e+07 -5.8839882848851450e+07 -5.8901469306722030e+07 -5.8968797096349336e+07 -5.9041915676621996e+07 -5.9120359296121269e+07 -5.9213411244706608e+07 -5.9329016288814045e+07 -5.9465537416577637e+07 -5.9623754730136126e+07 -5.9807246483187392e+07 -6.0020616320583619e+07 -6.0269243925151333e+07 -6.0559370396384560e+07 -6.0898231565718636e+07 -6.1294213539117992e+07 -6.1757033449502975e+07 -6.2297936164141417e+07 -6.2929922848204963e+07 -6.3668003696950145e+07 -6.4529487062844276e+07 -6.5534286479042657e+07 -6.6799851306876875e+07 -6.8290007940580413e+07 -7.0042439855980992e+07 -7.2100412471047878e+07 -7.4513304315089658e+07 -7.7336991123744741e+07 -8.0633897398387104e+07 -8.4472373100937501e+07 -8.8924933113258690e+07 -9.4063960804740682e+07 -9.9956357755144954e+07 -1.0664732616493344e+08 -1.1414226816427945e+08 -1.2239281391868711e+08 -1.3126048307568344e+08 -1.4050640714034066e+08 -1.4978700879970419e+08 -1.5868607213357696e+08 -1.6677205705446592e+08 -1.7366779311181420e+08 -1.7911984506602010e+08 -1.8302806812659883e+08 -1.8544976587329891e+08 -1.8655934151191074e+08 -1.8660841618369386e+08 -1.8587494290915418e+08 -1.8462325085766956e+08 -1.8309285391548797e+08 -1.8146888556840420e+08 -1.7989359532628483e+08 -1.7846910805297074e+08 -1.7724449347645104e+08 -1.7624319179026994e+08 -1.7545827191275069e+08 -1.7485342307730588e+08 -1.7439196666958922e+08 -1.7402603126412490e+08 -1.7371575203215623e+08 -1.7343342764394659e+08 -1.7323744563045877e+08 -1.7304050151385948e+08 -1.7283994849793920e+08 -1.7263002204556650e+08 -1.7241349378903982e+08 -1.7218626915867186e+08 -1.7194524910948744e+08 -1.7168457799214172e+08 -1.7140556359994498e+08 -1.7110306151617643e+08 -1.7077305424130031e+08 -1.7041066015165716e+08 -1.7001037961321798e+08 -1.6956645884588739e+08 -1.6906921030568352e+08 -1.6851486674037433e+08 -1.6789328060661399e+08 -1.6719542369170338e+08 -1.6641158070630726e+08 -1.6553173192826253e+08 -1.6454582775246546e+08 -1.6344482250244653e+08 -1.6222002970614609e+08 -1.6086435166423869e+08 -1.5937633852018884e+08 -1.5775943320030746e+08 -1.5602631961875954e+08 -1.5419858162884873e+08 -1.5231730432381108e+08 -1.5044552841902015e+08 -1.4867403891940838e+08 -1.4714180170249748e+08 -1.4604038618237776e+08 -1.4564631810729605e+08 -1.4635513638994476e+08 -1.4874863230812055e+08 -1.5370808230143636e+08 -1.6262988491534352e+08 -1.7784950089275420e+08 8.8547535380177259e+07 +6.9123041013671127e-01 -5.9545549194960035e+07 -5.9467390734017730e+07 -5.9336097389320649e+07 -5.9167917797620200e+07 -5.9006095986023150e+07 -5.8915424063686892e+07 -5.8924362574231967e+07 -5.8984378722130008e+07 -5.9046504797487140e+07 -5.9101225763844378e+07 -5.9154756599012673e+07 -5.9208200397997573e+07 -5.9260685112483643e+07 -5.9312173681422867e+07 -5.9363191496713713e+07 -5.9414000774378099e+07 -5.9465022196792148e+07 -5.9517113281816341e+07 -5.9571329380834609e+07 -5.9628835920255154e+07 -5.9690918086406603e+07 -5.9758843370921843e+07 -5.9832683721959494e+07 -5.9912012688795961e+07 -6.0006145569775537e+07 -6.0123041040017247e+07 -6.0261090395809665e+07 -6.0421114021453828e+07 -6.0606737252758071e+07 -6.0822618503953703e+07 -6.1074201160673372e+07 -6.1367800252480507e+07 -6.1710737231892094e+07 -6.2111497126443110e+07 -6.2579911117287196e+07 -6.3127355120810732e+07 -6.3766980370892271e+07 -6.4513968193014100e+07 -6.5385821181866750e+07 -6.6402671866897799e+07 -6.7683340393634617e+07 -6.9191163721351549e+07 -7.0964196959434330e+07 -7.3046105049262419e+07 -7.5486681932802916e+07 -7.8342212413439050e+07 -8.1675485490593240e+07 -8.5555108444594234e+07 -9.0053649687145963e+07 -9.5243193768754914e+07 -1.0118981822433017e+08 -1.0793707626343988e+08 -1.1548765063196196e+08 -1.2378936885745904e+08 -1.3269882796679637e+08 -1.4197174801970586e+08 -1.5125957606638214e+08 -1.6014282239941889e+08 -1.6818940354520345e+08 -1.7502465004643252e+08 -1.8040023346567211e+08 -1.8422246507401130e+08 -1.8655520379285112e+08 -1.8757833927714112e+08 -1.8754748649690190e+08 -1.8674298087121448e+08 -1.8543014153299400e+08 -1.8384857396427107e+08 -1.8218282705948237e+08 -1.8057424104116374e+08 -1.7912395350214827e+08 -1.7787990972755665e+08 -1.7686452376882032e+08 -1.7606983180405465e+08 -1.7545850251883826e+08 -1.7499296644799167e+08 -1.7462449602117306e+08 -1.7431256596699488e+08 -1.7402904703874588e+08 -1.7383233405831453e+08 -1.7363469147217301e+08 -1.7343344289549124e+08 -1.7322279447838500e+08 -1.7300552349382848e+08 -1.7277752604691061e+08 -1.7253566173240411e+08 -1.7227409702387533e+08 -1.7199412604943392e+08 -1.7169058672347632e+08 -1.7135944774913126e+08 -1.7099581073995745e+08 -1.7059415717539865e+08 -1.7014871952674747e+08 -1.6964974715820158e+08 -1.6909350155587584e+08 -1.6846978247516614e+08 -1.6776953070042774e+08 -1.6698299758166066e+08 -1.6610012898863894e+08 -1.6511084080764797e+08 -1.6400606209140933e+08 -1.6277704784475470e+08 -1.6141671611610922e+08 -1.5992359485793799e+08 -1.5830113882053801e+08 -1.5656207546825439e+08 -1.5472806276594955e+08 -1.5284032688577861e+08 -1.5096213033411002e+08 -1.4918454349794233e+08 -1.4764704628399584e+08 -1.4654185007482725e+08 -1.4614643530923328e+08 -1.4685768883171713e+08 -1.4925940210822612e+08 -1.5423588035860482e+08 -1.6318832462847042e+08 -1.7846017913978562e+08 8.9586053234241948e+07 +6.9619873291096934e-01 -6.0335322554781318e+07 -6.0257299387614988e+07 -6.0126261053640395e+07 -5.9958420013974093e+07 -5.9796937319399141e+07 -5.9706483025903687e+07 -5.9715463363503069e+07 -5.9775434247030906e+07 -5.9837520974690259e+07 -5.9892230967678018e+07 -5.9945770576016240e+07 -5.9999244451939762e+07 -6.0051786113059752e+07 -6.0103363190985441e+07 -6.0154505587774538e+07 -6.0205481214068830e+07 -6.0256717520706117e+07 -6.0309079433094643e+07 -6.0363630922707707e+07 -6.0421547706809267e+07 -6.0484127169342570e+07 -6.0552651723368712e+07 -6.0627215827466100e+07 -6.0707432379577368e+07 -6.0802648857558124e+07 -6.0920837990000680e+07 -6.1060419371627584e+07 -6.1222253711005494e+07 -6.1410013512152374e+07 -6.1628412060508132e+07 -6.1882956561991610e+07 -6.2180036097850032e+07 -6.2527057871551439e+07 -6.2932605961100213e+07 -6.3406625721385308e+07 -6.3960624223235272e+07 -6.4607902841175377e+07 -6.5363814039425544e+07 -6.6246054564313188e+07 -6.7274975694516838e+07 -6.8570769373802617e+07 -7.0096280686049864e+07 -7.1889934608795464e+07 -7.3995792792814091e+07 -7.6464060241241336e+07 -7.9351424252495214e+07 -8.2721028599793851e+07 -8.6641723805236593e+07 -9.1186111965842947e+07 -9.6425951808013216e+07 -1.0242646200929116e+08 -1.0922950484798034e+08 -1.1683499895371418e+08 -1.2518693167396112e+08 -1.3413696066584423e+08 -1.4343541491237944e+08 -1.5272883371562949e+08 -1.6159456545618865e+08 -1.6960011828101268e+08 -1.7637344952495286e+08 -1.8167142511347356e+08 -1.8540684624688607e+08 -1.8765011131851199e+08 -1.8858654608431622e+08 -1.8847569470134866e+08 -1.8760021131633928e+08 -1.8622635143166333e+08 -1.8459377213755712e+08 -1.8288641091176137e+08 -1.8124468191876689e+08 -1.7976872672574058e+08 -1.7850536263011485e+08 -1.7747597753352809e+08 -1.7667157704516363e+08 -1.7605381337349167e+08 -1.7558423063088587e+08 -1.7521324930213362e+08 -1.7489968726655641e+08 -1.7461499015057564e+08 -1.7441755732713920e+08 -1.7421922734714693e+08 -1.7401729444291094e+08 -1.7380593580071998e+08 -1.7358793419034633e+08 -1.7335917670566744e+08 -1.7311648135122031e+08 -1.7285403761454970e+08 -1.7257312564436612e+08 -1.7226856597288033e+08 -1.7193631373020160e+08 -1.7157145403930753e+08 -1.7116844980011275e+08 -1.7072152013634986e+08 -1.7022085146294734e+08 -1.6966273477082440e+08 -1.6903691744142109e+08 -1.6833430976015493e+08 -1.6754513025837663e+08 -1.6665929095664144e+08 -1.6566667379337052e+08 -1.6455818313204816e+08 -1.6332501555725718e+08 -1.6196010579523036e+08 -1.6046195945856601e+08 -1.5883404293071941e+08 -1.5708912651704338e+08 -1.5524894109058043e+08 -1.5335485161051637e+08 -1.5147033892712834e+08 -1.4968675339414704e+08 -1.4814408168551686e+08 -1.4703516625341538e+08 -1.4663842686834118e+08 -1.4735207610252273e+08 -1.4976187318439263e+08 -1.5475510298075798e+08 -1.6373769122826514e+08 -1.7906093482402110e+08 9.0627204385354862e+07 +7.0116705568522741e-01 -6.1128811961239494e+07 -6.1050923988055974e+07 -6.0920138499756724e+07 -6.0752633382287547e+07 -6.0591486292530075e+07 -6.0501249031482898e+07 -6.0510271017465547e+07 -6.0570197123785466e+07 -6.0632245917228259e+07 -6.0686945779800564e+07 -6.0740495098975927e+07 -6.0794000034401327e+07 -6.0846599560788989e+07 -6.0898266071183056e+07 -6.0949534042361014e+07 -6.1000677081247263e+07 -6.1052129360226840e+07 -6.1104763244888455e+07 -6.1159651369130716e+07 -6.1217979759185575e+07 -6.1281058051897593e+07 -6.1350183590377107e+07 -6.1425473356990337e+07 -6.1506579649136201e+07 -6.1602882287286155e+07 -6.1722368194921933e+07 -6.1863485254486628e+07 -6.2027134537270419e+07 -6.2217035797465980e+07 -6.2437957287932791e+07 -6.2695470145783953e+07 -6.2996037617819779e+07 -6.3347152779023528e+07 -6.3757498876244232e+07 -6.4237135550623208e+07 -6.4797701117618747e+07 -6.5452647145909227e+07 -6.6217497224942610e+07 -6.7110142136042058e+07 -6.8151151628403082e+07 -6.9462090297695220e+07 -7.1005308939583167e+07 -7.2819600563976645e+07 -7.4949420629607111e+07 -7.7445380743953705e+07 -8.0364564001413390e+07 -8.3770459079502851e+07 -8.7732145507665128e+07 -9.2322239074303746e+07 -9.7612145577485710e+07 -1.0366619005128008e+08 -1.1052450217078048e+08 -1.1818419236623061e+08 -1.2658537140371741e+08 -1.3557474244735011e+08 -1.4489726562418687e+08 -1.5419464195712942e+08 -1.6304117047901878e+08 -1.7100408537067416e+08 -1.7771409475250170e+08 -1.8293334401036355e+08 -1.8658115574793363e+08 -1.8873445021301264e+08 -1.8958393802694231e+08 -1.8939302776296619e+08 -1.8844662899555588e+08 -1.8701188060508838e+08 -1.8532845193278378e+08 -1.8357964277022541e+08 -1.8190492488910079e+08 -1.8040343539064360e+08 -1.7912086025898325e+08 -1.7807756137672913e+08 -1.7726351604012352e+08 -1.7663936409819013e+08 -1.7616576769645786e+08 -1.7579229958908138e+08 -1.7547712440767881e+08 -1.7519126544597423e+08 -1.7499312389524144e+08 -1.7479411758775532e+08 -1.7459151157938233e+08 -1.7437945444131345e+08 -1.7416073429664892e+08 -1.7393122954154196e+08 -1.7368771636129814e+08 -1.7342440814682546e+08 -1.7314257075375009e+08 -1.7283700761866903e+08 -1.7250366052268115e+08 -1.7213759837033448e+08 -1.7173326578837287e+08 -1.7128486895361358e+08 -1.7078253147578135e+08 -1.7022257461346436e+08 -1.6959469370323566e+08 -1.6888976903466037e+08 -1.6809798686173189e+08 -1.6720922591471007e+08 -1.6621333474387190e+08 -1.6510119360513893e+08 -1.6386394076453248e+08 -1.6249452855608958e+08 -1.6099144010456327e+08 -1.5935815323349598e+08 -1.5760748038367647e+08 -1.5576122413201579e+08 -1.5386088593498033e+08 -1.5197016154389563e+08 -1.5018067586779580e+08 -1.4863291509172812e+08 -1.4752034184886625e+08 -1.4712229989594164e+08 -1.4783830534840629e+08 -1.5025605279951796e+08 -1.5526575767295837e+08 -1.6427799265536371e+08 -1.7965177663122240e+08 9.1670933608842418e+07 +7.0613537845948549e-01 -6.1925979511661977e+07 -6.1848225697637863e+07 -6.1717690635673292e+07 -6.1550519421121381e+07 -6.1389706279806219e+07 -6.1299683029313408e+07 -6.1308746818363011e+07 -6.1368629087183230e+07 -6.1430641275685474e+07 -6.1485331791507222e+07 -6.1538891851142317e+07 -6.1592428743178867e+07 -6.1645087036797903e+07 -6.1696843925720468e+07 -6.1748238425973475e+07 -6.1799549901457526e+07 -6.1851219209920764e+07 -6.1904126175156176e+07 -6.1959352144047968e+07 -6.2018093457824215e+07 -6.2081672059015252e+07 -6.2151400236829408e+07 -6.2227417503267318e+07 -6.2309415606569856e+07 -6.2406806866134219e+07 -6.2527592538611844e+07 -6.2670248782253519e+07 -6.2835717065824583e+07 -6.3027764471226647e+07 -6.3251214309836335e+07 -6.3511701753777079e+07 -6.3815764321857207e+07 -6.4170981071990572e+07 -6.4586134527342997e+07 -6.5071398714973018e+07 -6.5638543269792698e+07 -6.6301169989784949e+07 -6.7074973554354183e+07 -6.7978038636833057e+07 -6.9031153146419078e+07 -7.0357255024429962e+07 -7.1918198393502638e+07 -7.3753142388856560e+07 -7.5906933289885372e+07 -7.8430584746417299e+07 -8.1381568825217083e+07 -8.4823709094921038e+07 -8.8826299703892097e+07 -9.3461949993865952e+07 -9.8801685638842657e+07 -1.0490890328066614e+08 -1.1182195859892571e+08 -1.1953511040421782e+08 -1.2798455762622510e+08 -1.3701203543030584e+08 -1.4635715913579649e+08 -1.5565686248729408e+08 -1.6448250837174374e+08 -1.7240119077431229e+08 -1.7904649077481979e+08 -1.8418591586465663e+08 -1.8774533917422038e+08 -1.8980818348451424e+08 -1.9057049219828811e+08 -1.9029947343277916e+08 -1.8928222927254820e+08 -1.8778672958527720e+08 -1.8605261723433253e+08 -1.8426252860068661e+08 -1.8255497715851560e+08 -1.8102808741211131e+08 -1.7972641091859582e+08 -1.7866928380892506e+08 -1.7784565740376198e+08 -1.7721516335687020e+08 -1.7673758632687998e+08 -1.7636165556662989e+08 -1.7604488606866154e+08 -1.7575788159306398e+08 -1.7555904242162299e+08 -1.7535937084341484e+08 -1.7515610294447607e+08 -1.7494335902932620e+08 -1.7472393243121222e+08 -1.7449369316130042e+08 -1.7424937535805494e+08 -1.7398521720331806e+08 -1.7370246994585061e+08 -1.7339592021384472e+08 -1.7306149666307783e+08 -1.7269425225121927e+08 -1.7228861363837409e+08 -1.7183877445441079e+08 -1.7133479564774692e+08 -1.7077302950739497e+08 -1.7014311965305713e+08 -1.6943591688139328e+08 -1.6864157571016729e+08 -1.6774994213703957e+08 -1.6675083188419181e+08 -1.6563510167990831e+08 -1.6439383157596448e+08 -1.6301999244027984e+08 -1.6151204476256004e+08 -1.5987347761522076e+08 -1.5811714486729339e+08 -1.5626491959811050e+08 -1.5435843747311166e+08 -1.5246160570418254e+08 -1.5066631835076088e+08 -1.4911355385821882e+08 -1.4799738416157910e+08 -1.4759806167246139e+08 -1.4831638388505003e+08 -1.5074194838905129e+08 -1.5576785211857107e+08 -1.6480923703937700e+08 -1.8023271345311910e+08 9.2717185971489549e+07 +7.1110370123374356e-01 -6.2726786927078843e+07 -6.2649165248223394e+07 -6.2518879213603169e+07 -6.2352038603933915e+07 -6.2191556477588199e+07 -6.2101747109546117e+07 -6.2110852264458641e+07 -6.2170692225397095e+07 -6.2232668416054733e+07 -6.2287350607262664e+07 -6.2340922252397187e+07 -6.2394491979583845e+07 -6.2447209940356746e+07 -6.2499058172109999e+07 -6.2550580136157975e+07 -6.2602061028420083e+07 -6.2653948391512468e+07 -6.2707129512315780e+07 -6.2762694501096159e+07 -6.2821850014568925e+07 -6.2885930346484818e+07 -6.2956262757569857e+07 -6.3033009290152371e+07 -6.3115901191207699e+07 -6.3214383431441963e+07 -6.3336471734726153e+07 -6.3480670522323005e+07 -6.3647961691338271e+07 -6.3842159724621199e+07 -6.4068143077953361e+07 -6.4331611055104606e+07 -6.4639175546117164e+07 -6.4998501693783022e+07 -6.5418471394388922e+07 -6.5909373147704281e+07 -6.6483107967293948e+07 -6.7153427897760108e+07 -6.7936198650915101e+07 -6.8849698622925445e+07 -6.9914933540909499e+07 -7.1256215225188315e+07 -7.2834898768621385e+07 -7.4690507454581022e+07 -7.6868275309596404e+07 -7.9419613360040367e+07 -8.2402375697707966e+07 -8.5880710628190592e+07 -8.9924112379358530e+07 -9.4605163568792328e+07 -9.9994482468112588e+07 -1.0615450262482992e+08 -1.1312176462415679e+08 -1.2088763291013442e+08 -1.2938436047274736e+08 -1.3844870258428019e+08 -1.4781495560337859e+08 -1.5711535848495641e+08 -1.6591845175229198e+08 -1.7379132228318021e+08 -1.8037054445208830e+08 -1.8542906806581992e+08 -1.8889934359050423e+08 -1.9087127536160082e+08 -1.9154618667271829e+08 -1.9119502023194981e+08 -1.9010700811075547e+08 -1.8855089937671283e+08 -1.8676627230635831e+08 -1.8493507468652183e+08 -1.8319484620802078e+08 -1.8164269095249787e+08 -1.8032202314323479e+08 -1.7925115355806679e+08 -1.7841800996117371e+08 -1.7778122001988152e+08 -1.7729969540861481e+08 -1.7692132612183464e+08 -1.7660298113006243e+08 -1.7631484746094871e+08 -1.7611532176638758e+08 -1.7591499596445298e+08 -1.7571107737822118e+08 -1.7549765839374757e+08 -1.7527753741207701e+08 -1.7504657637129807e+08 -1.7480146713590392e+08 -1.7453647356482062e+08 -1.7425283198732102e+08 -1.7394531250986603e+08 -1.7360983088563022e+08 -1.7324142439779541e+08 -1.7283450204529691e+08 -1.7238324531087059e+08 -1.7187765262642157e+08 -1.7131410807166961e+08 -1.7068220387832141e+08 -1.6997276185201010e+08 -1.6917590531519216e+08 -1.6828144808998382e+08 -1.6727917363010791e+08 -1.6615991571581912e+08 -1.6491469628841731e+08 -1.6353650567539987e+08 -1.6202378158414552e+08 -1.6038002414457420e+08 -1.5861812794824758e+08 -1.5676003537575746e+08 -1.5484751401536325e+08 -1.5294467910256955e+08 -1.5114368844757530e+08 -1.4958600551058531e+08 -1.4846630066119069e+08 -1.4806571964712173e+08 -1.4878631919789779e+08 -1.5121956756076595e+08 -1.5626139417933115e+08 -1.6533143269847324e+08 -1.8080375438771588e+08 9.3765906831027180e+07 +7.1607202400800163e-01 -6.3531194616721906e+07 -6.3453704978440374e+07 -6.3323665706618570e+07 -6.3157153579415113e+07 -6.2997000116546512e+07 -6.2907402341116942e+07 -6.2916549540258937e+07 -6.2976347912133515e+07 -6.3038288718359388e+07 -6.3092963508169465e+07 -6.3146547567148753e+07 -6.3200150993434109e+07 -6.3252929518045910e+07 -6.3304870040392146e+07 -6.3356520399354629e+07 -6.3408171647423118e+07 -6.3460278058046952e+07 -6.3513734378984541e+07 -6.3569639525729783e+07 -6.3629210473233521e+07 -6.3693793902925298e+07 -6.3764732079513118e+07 -6.3842209574558601e+07 -6.3925997174809836e+07 -6.4025572652627245e+07 -6.4148966328827254e+07 -6.4294710873648405e+07 -6.4463828639695384e+07 -6.4660181579394832e+07 -6.4888703374118693e+07 -6.5155157548366450e+07 -6.5466230455497839e+07 -6.5829673415645994e+07 -6.6254467784269392e+07 -6.6751016607575536e+07 -6.7331352322046474e+07 -6.8009377217531770e+07 -6.8801127958789870e+07 -6.9725076469612047e+07 -7.0802445921362191e+07 -7.2158922385722727e+07 -7.3755359598396957e+07 -7.5631642943077266e+07 -7.7833391034262538e+07 -8.0412407506116346e+07 -8.3426921406012446e+07 -8.6941395483129337e+07 -9.1025509358010054e+07 -9.5751798513257682e+07 -1.0119044646353345e+08 -1.0740288901768155e+08 -1.1442381087235244e+08 -1.2224164004333739e+08 -1.3078465063527918e+08 -1.3988460773492947e+08 -1.4927051635982934e+08 -1.5856999460467091e+08 -1.6734887494019958e+08 -1.7517436949977437e+08 -1.8168616443436775e+08 -1.8666272965701491e+08 -1.9004311750326014e+08 -1.9192369127277252e+08 -1.9251100048612878e+08 -1.9207965743762329e+08 -1.9092096206381023e+08 -1.8930439144883075e+08 -1.8746942178920934e+08 -1.8559728762412423e+08 -1.8382453979099038e+08 -1.8224725441870734e+08 -1.8090770569406733e+08 -1.7982317956915051e+08 -1.7898058274782100e+08 -1.7833754316315025e+08 -1.7785210403118259e+08 -1.7747132034346575e+08 -1.7715141867289928e+08 -1.7686217211954173e+08 -1.7666197098983788e+08 -1.7646100200120962e+08 -1.7625644392074025e+08 -1.7604236156405255e+08 -1.7582155825689772e+08 -1.7558988817693993e+08 -1.7534400068833736e+08 -1.7507818621109626e+08 -1.7479366584356853e+08 -1.7448519345581284e+08 -1.7414867212241372e+08 -1.7377912372305861e+08 -1.7337093990115595e+08 -1.7291829039158109e+08 -1.7241111125496164e+08 -1.7184581912039146e+08 -1.7121195516039410e+08 -1.7050031269143546e+08 -1.6970098438043067e+08 -1.6880375243162361e+08 -1.6779836858779976e+08 -1.6667564426115659e+08 -1.6542654338710177e+08 -1.6404407667542601e+08 -1.6252665890567756e+08 -1.6087780107328641e+08 -1.5911043778733149e+08 -1.5724657952991179e+08 -1.5532812352840793e+08 -1.5341938960762334e+08 -1.5161279393447655e+08 -1.5005027774542117e+08 -1.4892709898604158e+08 -1.4852528143752414e+08 -1.4924811894170734e+08 -1.5168891809484196e+08 -1.5674639189481080e+08 -1.6584458813872609e+08 -1.8136490873909959e+08 9.4817041835616738e+07 +7.2104034678225970e-01 -6.4339165086950481e+07 -6.4261805334286906e+07 -6.4132011198902093e+07 -6.3965824589422233e+07 -6.3805997268525600e+07 -6.3716610211176835e+07 -6.3725799660306804e+07 -6.3785556943394355e+07 -6.3847463337930910e+07 -6.3902131548897035e+07 -6.3955728929650441e+07 -6.4009366921789303e+07 -6.4062206881671645e+07 -6.4114240593669713e+07 -6.4166020272445299e+07 -6.4217842779315285e+07 -6.4270169198758498e+07 -6.4323901735172935e+07 -6.4380148137954637e+07 -6.4440135711854555e+07 -6.4505223551914722e+07 -6.4576768963920914e+07 -6.4654979048549488e+07 -6.4739664163499564e+07 -6.4840335033396415e+07 -6.4965036700512320e+07 -6.5112330069094084e+07 -6.5283277970094934e+07 -6.5481789890376545e+07 -6.5712854812516645e+07 -6.5982300563860863e+07 -6.6296888045842186e+07 -6.6664454838851750e+07 -6.7094081832836494e+07 -6.7596286681524873e+07 -6.8183233272646427e+07 -6.8868974121899888e+07 -6.9669716745896846e+07 -7.0604126374033123e+07 -7.1693643216733918e+07 -7.3065327809660032e+07 -7.4679530231716469e+07 -7.6576495849887446e+07 -7.8802224622583598e+07 -8.1408907919990137e+07 -8.4455142555193424e+07 -8.8005695290584162e+07 -9.2130416308726534e+07 -9.6901773417640716e+07 -1.0238948795290637e+08 -1.0865396340747915e+08 -1.1572798811289029e+08 -1.2359701228997928e+08 -1.3218529937442762e+08 -1.4131961556958377e+08 -1.5072370391481474e+08 -1.6002063697048074e+08 -1.6877365394328421e+08 -1.7655022381798366e+08 -1.8299326113772428e+08 -1.8788683131007850e+08 -1.9117661083654562e+08 -1.9296539782227889e+08 -1.9346491361825061e+08 -1.9295337506755647e+08 -1.9172408826487750e+08 -1.9004720772859168e+08 -1.8816207069257748e+08 -1.8624917431998989e+08 -1.8444406593038344e+08 -1.8284178646184230e+08 -1.8148346755940491e+08 -1.8038537100300539e+08 -1.7953338500857428e+08 -1.7888414206816199e+08 -1.7839482148718491e+08 -1.7801164752265683e+08 -1.7769020797969246e+08 -1.7739986483926404e+08 -1.7719899935294509e+08 -1.7699739820434904e+08 -1.7679221181163508e+08 -1.7657747776858103e+08 -1.7635600418251678e+08 -1.7612363778253070e+08 -1.7587698520788649e+08 -1.7561036432047954e+08 -1.7532498067782551e+08 -1.7501557219887790e+08 -1.7467802950280979e+08 -1.7430735933664036e+08 -1.7389793629430813e+08 -1.7344391876097542e+08 -1.7293518057170755e+08 -1.7236817166233641e+08 -1.7173238247469288e+08 -1.7101857833770478e+08 -1.7021682180230677e+08 -1.6931686401075265e+08 -1.6830842555363858e+08 -1.6718229605325279e+08 -1.6592938154408288e+08 -1.6454271404023147e+08 -1.6302068524725017e+08 -1.6136681683487543e+08 -1.5959408272545299e+08 -1.5772456030390188e+08 -1.5580027415499598e+08 -1.5388574526159281e+08 -1.5207364275983703e+08 -1.5050637842881024e+08 -1.4937978694371846e+08 -1.4897675482998818e+08 -1.4970179094040453e+08 -1.5215000794323015e+08 -1.5722285348204821e+08 -1.6634871205449873e+08 -1.8191618601665336e+08 9.5870536923331037e+07 +7.2600866955651777e-01 -6.5150657488102496e+07 -6.5073427810800664e+07 -6.4943876449334987e+07 -6.4778013021126047e+07 -6.4618509484284498e+07 -6.4529331492515825e+07 -6.4538563418711238e+07 -6.4598280352127828e+07 -6.4660153294426523e+07 -6.4714815772333443e+07 -6.4768427287910901e+07 -6.4822100723251261e+07 -6.4875002986716755e+07 -6.4927130742221884e+07 -6.4979040644016951e+07 -6.5031035284104466e+07 -6.5083582643261552e+07 -6.5137592380338199e+07 -6.5194181095010467e+07 -6.5254586444395371e+07 -6.5320179953907311e+07 -6.5392334008782811e+07 -6.5471278241322815e+07 -6.5556862600090683e+07 -6.5658630913716726e+07 -6.5784643065519132e+07 -6.5933488177078888e+07 -6.6106269577083044e+07 -6.6306944347219065e+07 -6.6540556841777243e+07 -6.6812999265776157e+07 -6.7131107146086708e+07 -6.7502804396947145e+07 -6.7937271507466763e+07 -6.8445140786554739e+07 -6.9038707586708993e+07 -6.9732174611443654e+07 -7.0541920105921745e+07 -7.1486802357566491e+07 -7.2588478178909555e+07 -7.3975382620962486e+07 -7.5607359836392134e+07 -7.7525012988061681e+07 -7.9774720049798042e+07 -8.2409055154847369e+07 -8.5486975572529063e+07 -8.9073541513224512e+07 -9.3238758750781476e+07 -9.8055006755685300e+07 -1.0359151720141709e+08 -1.0990762676630574e+08 -1.1703418726756155e+08 -1.2495363047227089e+08 -1.3358617852844380e+08 -1.4275359164235577e+08 -1.5217438195575449e+08 -1.6146715317082497e+08 -1.7019266644472954e+08 -1.7791877840356639e+08 -1.8429174672031492e+08 -1.8910130529916441e+08 -1.9229977490671101e+08 -1.9399636276955152e+08 -1.9440790697427854e+08 -1.9381616386725709e+08 -1.9251638441563848e+08 -1.9077935059268296e+08 -1.8884422439125034e+08 -1.8689074198697665e+08 -1.8505343291641092e+08 -1.8342629597419074e+08 -1.8204931795297197e+08 -1.8093773723596331e+08 -1.8007642619677919e+08 -1.7942102622132179e+08 -1.7892785727202633e+08 -1.7854231715135771e+08 -1.7821935853348801e+08 -1.7792793509072664e+08 -1.7772641631590316e+08 -1.7752419402360258e+08 -1.7731839049012086e+08 -1.7710301643475240e+08 -1.7688088460482371e+08 -1.7664783459139308e+08 -1.7640043008464670e+08 -1.7613301726926360e+08 -1.7584678585091281e+08 -1.7553645808330891e+08 -1.7519791235293394e+08 -1.7482614054539487e+08 -1.7441550050967562e+08 -1.7396013967907414e+08 -1.7344986981040061e+08 -1.7288117490069261e+08 -1.7224349499050847e+08 -1.7152756792189431e+08 -1.7072342666890278e+08 -1.6982079186753008e+08 -1.6880935351396883e+08 -1.6767988001780584e+08 -1.6642321961907578e+08 -1.6503242655520648e+08 -1.6350586931282455e+08 -1.6184708004516208e+08 -1.6006907128377214e+08 -1.5819398611896577e+08 -1.5626397421331230e+08 -1.5434375428063256e+08 -1.5252624304331085e+08 -1.5095431559685904e+08 -1.4982437250995740e+08 -1.4942014777819636e+08 -1.5014734318674323e+08 -1.5260284522929701e+08 -1.5769078733553943e+08 -1.6684381332746980e+08 -1.8245759593466374e+08 9.6926338321633786e+07 +7.3097699233077584e-01 -6.5965633903221004e+07 -6.5888532606981307e+07 -6.5759222623291440e+07 -6.5593680126221009e+07 -6.5434497175429359e+07 -6.5345526923209600e+07 -6.5354801402735077e+07 -6.5414478876339406e+07 -6.5476319488503098e+07 -6.5530976998986967e+07 -6.5584603457273081e+07 -6.5638313142581314e+07 -6.5691278609736234e+07 -6.5743501237824321e+07 -6.5795542232008182e+07 -6.5847709862176567e+07 -6.5900479063473947e+07 -6.5954766954086989e+07 -6.6011698994086474e+07 -6.6072523223383032e+07 -6.6138623608401082e+07 -6.6211387651066333e+07 -6.6291067521027677e+07 -6.6377552766053975e+07 -6.6480420471892253e+07 -6.6607745477703661e+07 -6.6758145104190975e+07 -6.6932763192915872e+07 -6.7135604476739198e+07 -6.7371768747187823e+07 -6.7647212654343560e+07 -6.7968846420578852e+07 -6.8344680358111367e+07 -6.8783994609085664e+07 -6.9297536172343686e+07 -6.9897731863122374e+07 -7.0598934516631112e+07 -7.1417692961442903e+07 -7.2373058268625900e+07 -7.3486903384769008e+07 -7.4889037767212257e+07 -7.6538797401801988e+07 -7.8477140991125345e+07 -8.0750821111600071e+07 -8.3412789585913762e+07 -8.6522356712048084e+07 -9.0144865451049685e+07 -9.4350462059635714e+07 -9.9211416890543520e+07 -1.0479644441919792e+08 -1.1116378009754455e+08 -1.1834229942020911e+08 -1.2631137575713694e+08 -1.3498716052002105e+08 -1.4418640237949488e+08 -1.5362241534782973e+08 -1.6290941225174993e+08 -1.7160579178912616e+08 -1.7927992817505479e+08 -1.8558153505809945e+08 -1.9030608547667658e+08 -1.9341256239885888e+08 -1.9501655500782573e+08 -1.9533996236788854e+08 -1.9466801529624394e+08 -1.9329784877673784e+08 -1.9150082286063960e+08 -1.8951588862001798e+08 -1.8752199814042091e+08 -1.8565264930423549e+08 -1.8400079208859634e+08 -1.8260526631278005e+08 -1.8148028785856232e+08 -1.8060971597462389e+08 -1.7994820531362939e+08 -1.7945122108333930e+08 -1.7906333892280695e+08 -1.7873888001763695e+08 -1.7844639254438275e+08 -1.7824423153905505e+08 -1.7804139910843396e+08 -1.7783498959443307e+08 -1.7761898718936509e+08 -1.7739620913826281e+08 -1.7716248820481843e+08 -1.7691434490747342e+08 -1.7664615463145059e+08 -1.7635909092136243e+08 -1.7604786065055522e+08 -1.7570833019603640e+08 -1.7533547685186574e+08 -1.7492364202711159e+08 -1.7446696260116404e+08 -1.7395518839899319e+08 -1.7338483823277032e+08 -1.7274530207044008e+08 -1.7202729076773524e+08 -1.7122080826008227e+08 -1.7031554523289683e+08 -1.6930116164429140e+08 -1.6816840526910010e+08 -1.6690806665825877e+08 -1.6551322319112319e+08 -1.6398221999026048e+08 -1.6231859950158051e+08 -1.6053541216303423e+08 -1.5865486557382795e+08 -1.5671923219746137e+08 -1.5479342505382016e+08 -1.5297060307602823e+08 -1.5139409745503217e+08 -1.5026086382877937e+08 -1.4985546840422454e+08 -1.5058478384188825e+08 -1.5304743824805957e+08 -1.5815020202668226e+08 -1.6732990102673414e+08 -1.8298914841306317e+08 9.7984392546854794e+07 +7.3594531510503391e-01 -6.6784054975200497e+07 -6.6707080921487607e+07 -6.6578010155994117e+07 -6.6412785528436005e+07 -6.6253921114521064e+07 -6.6165157877837047e+07 -6.6174474541247889e+07 -6.6234113435302548e+07 -6.6295922690609880e+07 -6.6350575867057145e+07 -6.6404218071698286e+07 -6.6457964806159109e+07 -6.6510994353022628e+07 -6.6563312667546220e+07 -6.6615485587208360e+07 -6.6667827054566860e+07 -6.6720818974571355e+07 -6.6775385937325574e+07 -6.6832662274603881e+07 -6.6893906442268752e+07 -6.6960514855856806e+07 -6.7033890169253848e+07 -6.7114307096755952e+07 -6.7201694783837557e+07 -6.7305663726969227e+07 -6.7434303831314489e+07 -6.7586260596878558e+07 -6.7762718389450967e+07 -6.7967729645252526e+07 -6.8206449652931377e+07 -6.8484899568067387e+07 -6.8810064371332631e+07 -6.9190040827360973e+07 -6.9634208774540663e+07 -7.0153429923582479e+07 -7.0760262534806922e+07 -7.1469209500507519e+07 -7.2296990065893888e+07 -7.3262847785122409e+07 -7.4388871239326239e+07 -7.5806244022204116e+07 -7.7473791742312551e+07 -7.9432826316480443e+07 -8.1730471427652672e+07 -8.4420051414319769e+07 -8.7561222059113517e+07 -9.1219598245656505e+07 -9.5465451472872481e+07 -1.0037092208179769e+08 -1.0600417976877947e+08 -1.1242232444534995e+08 -1.1965221582578968e+08 -1.2767012966574666e+08 -1.3638811836504430e+08 -1.4561791508400556e+08 -1.5506767013406333e+08 -1.6434728471128789e+08 -1.7301291097064191e+08 -1.8063356978433245e+08 -1.8686254172334582e+08 -1.9150110724822357e+08 -1.9451492734343871e+08 -1.9602594454371935e+08 -1.9626106250470328e+08 -1.9550892151459914e+08 -1.9406848015839973e+08 -1.9221162778799492e+08 -1.9017706946857256e+08 -1.8814295059601960e+08 -1.8624172391192406e+08 -1.8456528417676136e+08 -1.8315132230073014e+08 -1.8201303267516884e+08 -1.8113326421149421e+08 -1.8046568923988071e+08 -1.7996492282052964e+08 -1.7957472273078823e+08 -1.7924878231538779e+08 -1.7895524706968039e+08 -1.7875245488152286e+08 -1.7854902330729344e+08 -1.7834201896142638e+08 -1.7812539985713667e+08 -1.7790198759515765e+08 -1.7766760842228067e+08 -1.7741873946253330e+08 -1.7714978617828268e+08 -1.7686190564436865e+08 -1.7654978963901579e+08 -1.7620929275139889e+08 -1.7583537795462745e+08 -1.7542237052279550e+08 -1.7496439717760453e+08 -1.7445114596029019e+08 -1.7387917124951360e+08 -1.7323781326996577e+08 -1.7251775639086846e+08 -1.7170897604685241e+08 -1.7080113352746671e+08 -1.6978385930952018e+08 -1.6864788110869497e+08 -1.6738393189466178e+08 -1.6598511310348240e+08 -1.6444974635033193e+08 -1.6278138418308666e+08 -1.6099311424339968e+08 -1.5910720744465148e+08 -1.5716605677611157e+08 -1.5523476614328271e+08 -1.5340673131964996e+08 -1.5182573237783620e+08 -1.5068926921203932e+08 -1.5028272499716026e+08 -1.5101412123551330e+08 -1.5348379546512815e+08 -1.5860110630382472e+08 -1.6780698440844765e+08 -1.8351085357542905e+08 9.9044646403663665e+07 +7.4091363787929199e-01 -6.7605879972239554e+07 -6.7529032651056021e+07 -6.7400199292561635e+07 -6.7235290884556800e+07 -6.7076742705168411e+07 -6.6988183971403927e+07 -6.6997543053532489e+07 -6.7057144515855998e+07 -6.7118923029092491e+07 -6.7173572940809384e+07 -6.7227231640538737e+07 -6.7281016247121438e+07 -6.7334110661168829e+07 -6.7386525459669575e+07 -6.7438831104063794e+07 -6.7491347244833261e+07 -6.7544562734139115e+07 -6.7599409653259352e+07 -6.7657031220259160e+07 -6.7718696337828934e+07 -6.7785813880349502e+07 -6.7859801685385391e+07 -6.7940957020664930e+07 -6.8029248618731707e+07 -6.8134320540374607e+07 -6.8264277862998292e+07 -6.8417794243820935e+07 -6.8596094580330357e+07 -6.8803279060312092e+07 -6.9044558523967713e+07 -6.9326018685826555e+07 -6.9654719340032041e+07 -7.0038843748659179e+07 -7.0487871479005098e+07 -7.1012778962123886e+07 -7.1626255870673701e+07 -7.2342955061231017e+07 -7.3179766006482929e+07 -7.4156124417368323e+07 -7.5294333978372812e+07 -7.6726951989101231e+07 -7.8412291500233144e+07 -8.0392015248848885e+07 -8.2713614445255205e+07 -8.5430780671101347e+07 -8.8603507534534305e+07 -9.2297670886266783e+07 -9.6583652095728800e+07 -1.0153344049185544e+08 -1.0721463337255409e+08 -1.1368316090185909e+08 -1.2096382791829644e+08 -1.2902977408224747e+08 -1.3778892567953962e+08 -1.4704799794038731e+08 -1.5651001353552079e+08 -1.6578064249218222e+08 -1.7441390661925712e+08 -1.8197960159851700e+08 -1.8813468396102268e+08 -1.9268630754902881e+08 -1.9560682509324801e+08 -1.9702450247723126e+08 -1.9717119096484748e+08 -1.9633887537075958e+08 -1.9482827791049302e+08 -1.9291176905925611e+08 -1.9082777337695229e+08 -1.8875360746537521e+08 -1.8682066581798747e+08 -1.8511978184764153e+08 -1.8368749580074072e+08 -1.8253598170344514e+08 -1.8164708098422360e+08 -1.8097348809870309e+08 -1.8046897258457765e+08 -1.8007647866922715e+08 -1.7974907550905740e+08 -1.7945450873588118e+08 -1.7925109640162984e+08 -1.7904707666683331e+08 -1.7883948862637386e+08 -1.7862226446135157e+08 -1.7839822998606977e+08 -1.7816320524051321e+08 -1.7791362373358372e+08 -1.7764392187835419e+08 -1.7735523997235903e+08 -1.7704225498303643e+08 -1.7670080993412313e+08 -1.7632585374818292e+08 -1.7591169586762705e+08 -1.7545245325324515e+08 -1.7493775231081423e+08 -1.7436418373533848e+08 -1.7372103833747298e+08 -1.7299897449902195e+08 -1.7218793969142422e+08 -1.7127756636261207e+08 -1.7025745606345004e+08 -1.6911831702630475e+08 -1.6785082474718627e+08 -1.6644810563264760e+08 -1.6490845764677039e+08 -1.6323544324938929e+08 -1.6144218658406690e+08 -1.5955102068426147e+08 -1.5760445679332617e+08 -1.5566778628386417e+08 -1.5383463640688506e+08 -1.5224922890878230e+08 -1.5110959713929135e+08 -1.5070192601354760e+08 -1.5143536386500219e+08 -1.5391192551723915e+08 -1.5904350909151012e+08 -1.6827507291533971e+08 -1.8402272174977857e+08 1.0010704698453960e+08 +7.4588196065355006e-01 -6.8431070658723965e+07 -6.8354347969743446e+07 -6.8225750802139640e+07 -6.8061155325910121e+07 -6.7902920995751098e+07 -6.7814566432369515e+07 -6.7823967601454049e+07 -6.7883532352003276e+07 -6.7945281153785571e+07 -6.7999928611663878e+07 -6.8053604495904177e+07 -6.8107427821154878e+07 -6.8160587829353139e+07 -6.8213099892359599e+07 -6.8265539032250494e+07 -6.8318230662408218e+07 -6.8371670542750910e+07 -6.8426798269204736e+07 -6.8484765960128590e+07 -6.8546852992134258e+07 -6.8614480711430579e+07 -6.8689082167095244e+07 -6.8770977189787507e+07 -6.8860174081467599e+07 -6.8966350618375897e+07 -6.9097627154016763e+07 -6.9252705477878854e+07 -6.9432851023154765e+07 -6.9642211773122430e+07 -6.9886054168618202e+07 -7.0170528529182330e+07 -7.0502769510477141e+07 -7.0891046907463267e+07 -7.1344940038144201e+07 -7.1875540049466878e+07 -7.2495667978376284e+07 -7.3220126534202278e+07 -7.4065975206697255e+07 -7.5052841510528654e+07 -7.6203243671284527e+07 -7.7651112103212371e+07 -7.9354245148999557e+07 -8.1354653903525949e+07 -8.3700193442899942e+07 -8.6444917221412063e+07 -8.9649148899698079e+07 -9.3379014214013949e+07 -9.7704988907027394e+07 -1.0269889019250223e+08 -1.0842771532030380e+08 -1.1494619061639471e+08 -1.2227702732100409e+08 -1.3039019126190247e+08 -1.3918945668747452e+08 -1.4847652001937637e+08 -1.5794931395078778e+08 -1.6720935897715250e+08 -1.7580866298825717e+08 -1.8331792368081954e+08 -1.8939788066641277e+08 -1.9386162482042333e+08 -1.9668821230167738e+08 -1.9801220098194709e+08 -1.9807033218841812e+08 -1.9715787038893142e+08 -1.9557724191367969e+08 -1.9360125078188628e+08 -1.9146800713139936e+08 -1.8935397715364832e+08 -1.8738948435965860e+08 -1.8566429494597208e+08 -1.8421379691824138e+08 -1.8304914517286161e+08 -1.8215117657586229e+08 -1.8147161219154412e+08 -1.8096338067740983e+08 -1.8056861703215441e+08 -1.8023976988109741e+08 -1.7994418781035340e+08 -1.7974016635559073e+08 -1.7953556943228394e+08 -1.7932740882266018e+08 -1.7910959122266310e+08 -1.7888494651887780e+08 -1.7864928885389876e+08 -1.7839900790107331e+08 -1.7812857189659685e+08 -1.7783910405362099e+08 -1.7752526681307828e+08 -1.7718289185540226e+08 -1.7680691432163393e+08 -1.7639162812708730e+08 -1.7593114086714533e+08 -1.7541501746085876e+08 -1.7483988566758603e+08 -1.7419498721330798e+08 -1.7347095499135315e+08 -1.7265770904656067e+08 -1.7174485353852803e+08 -1.7072196164802134e+08 -1.6957972269860423e+08 -1.6830875482051471e+08 -1.6690221030309084e+08 -1.6535836331618962e+08 -1.6368078604093489e+08 -1.6188263842274928e+08 -1.5998631442252567e+08 -1.5803444126701769e+08 -1.5609249438265011e+08 -1.5425432714025551e+08 -1.5266459576004711e+08 -1.5152185625721329e+08 -1.5111308007644388e+08 -1.5184852039546835e+08 -1.5433183721107790e+08 -1.5947741949028975e+08 -1.6873417617609039e+08 -1.8452476346810880e+08 1.0117154166923937e+08 +7.5085028342780813e-01 -6.9259586066733584e+07 -6.9182988166488737e+07 -6.9054624260837555e+07 -6.8890339456959352e+07 -6.8732417106362686e+07 -6.8644265111949071e+07 -6.8653708524813935e+07 -6.8713237384164676e+07 -6.8774957456570402e+07 -6.8829603028281227e+07 -6.8883296819384605e+07 -6.8937159674189061e+07 -6.8990386002582848e+07 -6.9042996094787270e+07 -6.9095569480171114e+07 -6.9148437387007907e+07 -6.9202102446714997e+07 -6.9257511798952669e+07 -6.9315826470934182e+07 -6.9378336334664077e+07 -6.9446475226509303e+07 -6.9521691430078909e+07 -6.9604327348042831e+07 -6.9694430829737157e+07 -6.9801713514145285e+07 -6.9934311132175893e+07 -7.0090953578324839e+07 -7.0272946821768120e+07 -7.0484486680843666e+07 -7.0730895240414903e+07 -7.1018387464629292e+07 -7.1354172910756260e+07 -7.1746607932805851e+07 -7.2205371610413879e+07 -7.2741669789198384e+07 -7.3368454806471080e+07 -7.4100679095054165e+07 -7.4955571928725466e+07 -7.5952952247303605e+07 -7.7115552223759636e+07 -7.8578674635016516e+07 -8.0299600996255234e+07 -8.2320688229769751e+07 -8.4690151534043774e+07 -8.7462400768213302e+07 -9.0698081760334715e+07 -9.4463558927382201e+07 -9.8829386764812678e+07 -1.0386718917148651e+08 -1.0964333567652914e+08 -1.1621131480335328e+08 -1.2359170585421674e+08 -1.3175126384066901e+08 -1.4058958622770414e+08 -1.4990335128186116e+08 -1.5938544095614907e+08 -1.6863330898104525e+08 -1.7719706594119075e+08 -1.8464843777245197e+08 -1.9065205236380312e+08 -1.9502699898689976e+08 -1.9775904690030187e+08 -1.9898901328645134e+08 -1.9895847145847878e+08 -1.9796590075725579e+08 -1.9631537257046983e+08 -1.9428007747942492e+08 -1.9209777785937521e+08 -1.8994406835643587e+08 -1.8794818913011518e+08 -1.8619883355072203e+08 -1.8473023597865456e+08 -1.8355253352428421e+08 -1.8264556147572327e+08 -1.8196007202271998e+08 -1.8144815760159069e+08 -1.8105114831272027e+08 -1.8072087591177705e+08 -1.8042429475914344e+08 -1.8021967519835851e+08 -1.8001451204635450e+08 -1.7980578998081559e+08 -1.7958739055894038e+08 -1.7936214759855807e+08 -1.7912586965318051e+08 -1.7887490234201384e+08 -1.7860374659439522e+08 -1.7831350823280677e+08 -1.7799883545550469e+08 -1.7765554882110602e+08 -1.7727856995933735e+08 -1.7686217756130281e+08 -1.7640047025220400e+08 -1.7588295161404881e+08 -1.7530628721623176e+08 -1.7465967002994633e+08 -1.7393370795809475e+08 -1.7311829415520579e+08 -1.7220300504517171e+08 -1.7117738599358106e+08 -1.7003210798891598e+08 -1.6875773190486529e+08 -1.6734743682293230e+08 -1.6579947297673556e+08 -1.6411742207878196e+08 -1.6231447917589375e+08 -1.6041309796508816e+08 -1.5845601938963127e+08 -1.5650889951872158e+08 -1.5466581249285865e+08 -1.5307184181174567e+08 -1.5192605537958166e+08 -1.5151619597542515e+08 -1.5225359965940842e+08 -1.5474353952370143e+08 -1.5990284677647048e+08 -1.6918430400588468e+08 -1.8501698946513003e+08 1.0223807812426212e+08 +7.5581860620206620e-01 -7.0091386947951779e+07 -7.0014912482251421e+07 -6.9886780906575441e+07 -6.9722804036617175e+07 -6.9565191285055488e+07 -6.9477239585475862e+07 -6.9486725727013916e+07 -6.9546219879036084e+07 -6.9607911847541660e+07 -6.9662556111747935e+07 -6.9716268702003583e+07 -6.9770171791074872e+07 -6.9823465173828721e+07 -6.9876174044116423e+07 -6.9928882411450177e+07 -6.9981927350541741e+07 -7.0035818341545120e+07 -7.0091510105504200e+07 -7.0150172578846306e+07 -7.0213106144418538e+07 -7.0281757152991220e+07 -7.0357589139767334e+07 -7.0440967088413835e+07 -7.0531978370893791e+07 -7.0640368629835010e+07 -7.0774289074166879e+07 -7.0932497672935843e+07 -7.1116340928285748e+07 -7.1330062528488383e+07 -7.1579040240495533e+07 -7.1869553705674797e+07 -7.2208887415391281e+07 -7.2605484299580097e+07 -7.3069123199636444e+07 -7.3611124629086256e+07 -7.4244572147095844e+07 -7.4984567761559650e+07 -7.5848510276168510e+07 -7.6856409650599673e+07 -7.8031211380509749e+07 -7.9509589692970842e+07 -8.1248307186963722e+07 -8.3290064014160216e+07 -8.5683431670648396e+07 -8.8483170856674641e+07 -9.1750241571265221e+07 -9.5551235586869285e+07 -9.9956770412006453e+07 -1.0503825533913131e+08 -1.1086140448769167e+08 -1.1747843475009035e+08 -1.2490775554437789e+08 -1.3311287484264763e+08 -1.4198918976118052e+08 -1.5132836258335081e+08 -1.6081826530421591e+08 -1.7005236874523726e+08 -1.7857900294008070e+08 -1.8597104727435455e+08 -1.9189712118471074e+08 -1.9618237143326238e+08 -1.9881928807806960e+08 -1.9995491365556493e+08 -1.9983559488737351e+08 -1.9876296131600267e+08 -1.9704267079659626e+08 -1.9494825408539751e+08 -1.9271709302529836e+08 -1.9052389005618078e+08 -1.8849678997716933e+08 -1.8672340797389644e+08 -1.8523682352692029e+08 -1.8404615740937561e+08 -1.8313024637815657e+08 -1.8243887829828814e+08 -1.8192331405967200e+08 -1.8152408320328906e+08 -1.8119240427992558e+08 -1.8089484024579310e+08 -1.8068963358186349e+08 -1.8048391514940527e+08 -1.8027464272891569e+08 -1.8005567308560812e+08 -1.7982984382682490e+08 -1.7959295822585064e+08 -1.7934131762948501e+08 -1.7906945652865213e+08 -1.7877846304940334e+08 -1.7846297143110242e+08 -1.7811879133229354e+08 -1.7774083113977742e+08 -1.7732335462402150e+08 -1.7686045183453310e+08 -1.7634156516656828e+08 -1.7576339874362966e+08 -1.7511509711154878e+08 -1.7438724368033484e+08 -1.7356970524996108e+08 -1.7265203106125009e+08 -1.7162373921809861e+08 -1.7047548294743809e+08 -1.6919776597564262e+08 -1.6778379508406317e+08 -1.6623179642873493e+08 -1.6454536106366897e+08 -1.6273771843751019e+08 -1.6083138079377249e+08 -1.5886920052708089e+08 -1.5691701094277433e+08 -1.5506910160669130e+08 -1.5347097611202294e+08 -1.5232220348658323e+08 -1.5191128266644520e+08 -1.5265061065600714e+08 -1.5514704160168701e+08 -1.6031980040177459e+08 -1.6962546640485615e+08 -1.8549941067888165e+08 1.0330660430231141e+08 +7.6078692897632427e-01 -7.0926432563148424e+07 -7.0850080998221681e+07 -7.0722178336664662e+07 -7.0558509260620311e+07 -7.0401202944168046e+07 -7.0313450543965563e+07 -7.0322979335468963e+07 -7.0382439427394167e+07 -7.0444104169658810e+07 -7.0498747793645501e+07 -7.0552480023234874e+07 -7.0606424023907721e+07 -7.0659785190051153e+07 -7.0712593566909313e+07 -7.0765437640263602e+07 -7.0818660336331397e+07 -7.0872777976422325e+07 -7.0928752903990880e+07 -7.0987763961390242e+07 -7.1051122051976293e+07 -7.1120286069947481e+07 -7.1196734813354686e+07 -7.1280855855179176e+07 -7.1372776063427746e+07 -7.1482275218812242e+07 -7.1617520107567415e+07 -7.1777296740250200e+07 -7.1962992145087570e+07 -7.2178897911160409e+07 -7.2430447519676626e+07 -7.2723985315073535e+07 -7.3066870747757852e+07 -7.3467633330777481e+07 -7.3936151656898871e+07 -7.4483860863843963e+07 -7.5123975638162315e+07 -7.5871747396559894e+07 -7.6744744196458697e+07 -7.7763166586336404e+07 -7.8950172728332490e+07 -8.0443807226575881e+07 -8.2200311706540361e+07 -8.4262726883835211e+07 -8.6679976647041425e+07 -8.9507166877659708e+07 -9.2805563641203538e+07 -9.6641974620448783e+07 -1.0108706448210683e+08 -1.0621200653444663e+08 -1.1208183178993037e+08 -1.1874745182536928e+08 -1.2622506863209966e+08 -1.3447490768887055e+08 -1.4338814337785381e+08 -1.5275142567774048e+08 -1.6224765892423299e+08 -1.7146641593062973e+08 -1.7995436303071007e+08 -1.8728565722983906e+08 -1.9313301084669548e+08 -1.9732768498367581e+08 -1.9986889626029405e+08 -2.0090987737199727e+08 -2.0070168940082192e+08 -1.9954904754590425e+08 -1.9775913801273707e+08 -1.9560578593784755e+08 -1.9332596042669231e+08 -1.9109345152019322e+08 -1.8903529700101086e+08 -1.8723802875906548e+08 -1.8573357032635528e+08 -1.8453002769005471e+08 -1.8360524218249673e+08 -1.8290804192603531e+08 -1.8238886095415103e+08 -1.8198743259466749e+08 -1.8165436586278012e+08 -1.8135583513171998e+08 -1.8115005235580730e+08 -1.8094378957872131e+08 -1.8073397789165086e+08 -1.8051444961378813e+08 -1.8028804600142398e+08 -1.8005056535525876e+08 -1.7979826453262302e+08 -1.7952571245214131e+08 -1.7923397923876676e+08 -1.7891768545624188e+08 -1.7857263008417439e+08 -1.7819370853543681e+08 -1.7777516996274868e+08 -1.7731109623380843e+08 -1.7679086870731431e+08 -1.7621123080394584e+08 -1.7556127897290334e+08 -1.7483157262939626e+08 -1.7401195275303528e+08 -1.7309194195362148e+08 -1.7206103162670633e+08 -1.7090985780996773e+08 -1.6962886719260380e+08 -1.6821129516169101e+08 -1.6665534365418404e+08 -1.6496461287601313e+08 -1.6315236597945562e+08 -1.6124117256595314e+08 -1.5927399421881405e+08 -1.5731683807679957e+08 -1.5546420379354587e+08 -1.5386200787617525e+08 -1.5271030972477946e+08 -1.5229834927102411e+08 -1.5303956255128729e+08 -1.5554235276087204e+08 -1.6072828999283844e+08 -1.7005767355857888e+08 -1.8597203824979839e+08 1.0437706844175464e+08 +7.6575525175058234e-01 -7.1764683029755756e+07 -7.1688452447246224e+07 -7.1560778748785838e+07 -7.1397413403691947e+07 -7.1240411853428528e+07 -7.1152857884201661e+07 -7.1162429599860728e+07 -7.1221855774085507e+07 -7.1283494022661999e+07 -7.1338137934489220e+07 -7.1391890438092187e+07 -7.1445876087604702e+07 -7.1499305759191930e+07 -7.1552214343967319e+07 -7.1605194829839811e+07 -7.1658595977347732e+07 -7.1712940956445277e+07 -7.1769199763697088e+07 -7.1828560150108069e+07 -7.1892343541951701e+07 -7.1962021410900578e+07 -7.2039087821844086e+07 -7.2123952945762992e+07 -7.2216783119451493e+07 -7.2327392387767896e+07 -7.2463963213040099e+07 -7.2625309611471444e+07 -7.2812859127379790e+07 -7.3030951276449457e+07 -7.3285075280694991e+07 -7.3581640207288012e+07 -7.3928080482204065e+07 -7.4333012200036511e+07 -7.4806413683181778e+07 -7.5359834637020975e+07 -7.6006620765832290e+07 -7.6762172710405469e+07 -7.7644227483650833e+07 -7.8673175765778571e+07 -7.9872387698567331e+07 -8.1381277029239282e+07 -8.3155562384014457e+07 -8.5238622310188875e+07 -8.7679729103106201e+07 -9.0534328072454482e+07 -9.3863983136667833e+07 -9.7735706328377381e+07 -1.0222019350505039e+08 -1.0738836053190051e+08 -1.1330452761572407e+08 -1.2001826748707238e+08 -1.2754353758087124e+08 -1.3583724620542300e+08 -1.4478632380352131e+08 -1.5417241322118676e+08 -1.6367349492071956e+08 -1.7287532961178431e+08 -1.8132303683237025e+08 -1.8859217430609980e+08 -1.9435964663265648e+08 -1.9846288387844485e+08 -2.0090783308817565e+08 -2.0185388071914759e+08 -2.0155674272390652e+08 -2.0032415555799520e+08 -1.9846477613610837e+08 -1.9625267877287692e+08 -1.9392438819016069e+08 -1.9165276229718092e+08 -1.8956372055159497e+08 -1.8774270667988485e+08 -1.8622048735739598e+08 -1.8500415543676743e+08 -1.8407055999202079e+08 -1.8336757401475137e+08 -1.8284480938638562e+08 -1.8244120757584745e+08 -1.8210677173457474e+08 -1.8180729047515795e+08 -1.8160094256601906e+08 -1.8139414636792782e+08 -1.8118380649013793e+08 -1.8096373115128225e+08 -1.8073676511621261e+08 -1.8049870202036667e+08 -1.8024575401571411e+08 -1.7997252531223932e+08 -1.7968006773033026e+08 -1.7936298844127005e+08 -1.7901707596597791e+08 -1.7863721301256987e+08 -1.7821763441786540e+08 -1.7775241426164874e+08 -1.7723087301724076e+08 -1.7664979414232916e+08 -1.7599822632001147e+08 -1.7526670546630290e+08 -1.7444504727563444e+08 -1.7352274827730933e+08 -1.7248927371152487e+08 -1.7133524299823621e+08 -1.7005104590002027e+08 -1.6862994731321514e+08 -1.6707012481549793e+08 -1.6537518757530075e+08 -1.6355843175073147e+08 -1.6164248311389598e+08 -1.5967041017725334e+08 -1.5770839051334357e+08 -1.5585112853344014e+08 -1.5424494648699671e+08 -1.5309038340649623e+08 -1.5267740507599223e+08 -1.5342046467736039e+08 -1.5592948248626000e+08 -1.6112832535077673e+08 -1.7048093583702964e+08 -1.8643488352001232e+08 1.0544941906607987e+08 +7.7072357452484042e-01 -7.2606098119010702e+07 -7.2529987633608505e+07 -7.2402541057586133e+07 -7.2239476538471684e+07 -7.2082777696339428e+07 -7.1995420456461772e+07 -7.2005034902736738e+07 -7.2064428537258044e+07 -7.2126041169872597e+07 -7.2180686192562059e+07 -7.2234459530713856e+07 -7.2288487564575523e+07 -7.2341986445413664e+07 -7.2394995913371697e+07 -7.2448113493035838e+07 -7.2501693757102445e+07 -7.2556266743873790e+07 -7.2612810110323921e+07 -7.2672520532526717e+07 -7.2736729955353558e+07 -7.2806922464849219e+07 -7.2884607392011046e+07 -7.2970217513202175e+07 -7.3063958606410488e+07 -7.3175679098978385e+07 -7.3313577226459563e+07 -7.3476494972873211e+07 -7.3665900385186881e+07 -7.3886180926232934e+07 -7.4142881580429807e+07 -7.4442476150292233e+07 -7.4792474046426505e+07 -7.5201577933554307e+07 -7.5679865831656426e+07 -7.6239001943868712e+07 -7.6892462867065072e+07 -7.7655798263105020e+07 -7.8546913780774251e+07 -7.9586389748697162e+07 -8.0797807570124224e+07 -8.2321948741276249e+07 -8.4114006895132765e+07 -8.6217695611814871e+07 -8.8682631528599486e+07 -9.1564593536071509e+07 -9.4925435086752310e+07 -9.8832360888082191e+07 -1.0335608191274486e+08 -1.0856723504783699e+08 -1.1452940200156160e+08 -1.2129078329042657e+08 -1.2886305508566698e+08 -1.3719977463113725e+08 -1.4618360840602031e+08 -1.5559119877563959e+08 -1.6509564757255006e+08 -1.7427899026967958e+08 -1.8268491652406332e+08 -1.8989050677772936e+08 -1.9557695537027660e+08 -1.9958791375439617e+08 -2.0193606139922467e+08 -2.0278690096375275e+08 -2.0240074336758783e+08 -2.0108828208169955e+08 -1.9915958757268509e+08 -1.9688893871923721e+08 -1.9451238476669338e+08 -1.9220183221484515e+08 -1.9008207122821641e+08 -1.8823745273873025e+08 -1.8669758581673744e+08 -1.8546855192878386e+08 -1.8452621111333105e+08 -1.8381748587350041e+08 -1.8329117065661103e+08 -1.8288541943344939e+08 -1.8254963316654378e+08 -1.8224921753092897e+08 -1.8204231545528269e+08 -1.8183499674711505e+08 -1.8162413974102205e+08 -1.8140352890128946e+08 -1.8117601236009195e+08 -1.8093737939519647e+08 -1.8068379723756537e+08 -1.8040990625106707e+08 -1.8011673964828655e+08 -1.7979889148998013e+08 -1.7945214006050894e+08 -1.7907135563008717e+08 -1.7865075902269086e+08 -1.7818441692234904e+08 -1.7766158906869352e+08 -1.7707909969534782e+08 -1.7642595004867655e+08 -1.7569265304198316e+08 -1.7486899961749122e+08 -1.7394446077498746e+08 -1.7290847615099779e+08 -1.7175164911896285e+08 -1.7046431262574205e+08 -1.6903976197869095e+08 -1.6747615025609547e+08 -1.6577709539990053e+08 -1.6395592587725347e+08 -1.6203532244490275e+08 -1.6005845828743839e+08 -1.5809167801606655e+08 -1.5622988547585359e+08 -1.5461980149396694e+08 -1.5346243400965628e+08 -1.5304845953369516e+08 -1.5379332653236639e+08 -1.5630844043102315e+08 -1.6151991645098963e+08 -1.7089526379476213e+08 -1.8688795803359053e+08 1.0652360498334986e+08 +7.7569189729909849e-01 -7.3450635949278131e+07 -7.3374645410972193e+07 -7.3247423870703697e+07 -7.3084658782056615e+07 -7.2928260102190703e+07 -7.2841098495550886e+07 -7.2850755689819872e+07 -7.2910117488548353e+07 -7.2971705115923941e+07 -7.3026351975823000e+07 -7.3080146812375575e+07 -7.3134217897545055e+07 -7.3187786662822306e+07 -7.3240897671929464e+07 -7.3294152994013682e+07 -7.3347913014256850e+07 -7.3402714658197626e+07 -7.3459543227981880e+07 -7.3519604354090348e+07 -7.3584240492126390e+07 -7.3654948379178733e+07 -7.3733252608764783e+07 -7.3819608568200514e+07 -7.3914261449459076e+07 -7.4027094172157317e+07 -7.4166320841074497e+07 -7.4330811367999077e+07 -7.4522074285408556e+07 -7.4744545019434795e+07 -7.5003824332182646e+07 -7.5306450768194377e+07 -7.5660008723500997e+07 -7.6073287412774250e+07 -7.6556464509990215e+07 -7.7121318633295089e+07 -7.7781457131967187e+07 -7.8552578467308432e+07 -7.9452756582505748e+07 -8.0502760945524111e+07 -8.1726383472057551e+07 -8.3265771852698535e+07 -8.5075592765443861e+07 -8.7199891958155587e+07 -8.9688626266229331e+07 -9.2597902221868470e+07 -9.5989854387493074e+07 -9.9931868359490335e+07 -1.0449465404465681e+08 -1.0974854774660136e+08 -1.1575636499485554e+08 -1.2256490089539412e+08 -1.3018351408042586e+08 -1.3856237762576729e+08 -1.4757987520169890e+08 -1.5700765681239864e+08 -1.6651399233219823e+08 -1.7567727978490174e+08 -1.8403989583222568e+08 -1.9118056450853088e+08 -1.9678486541211411e+08 -2.0070272162267274e+08 -2.0295354520764047e+08 -2.0370891633843532e+08 -2.0323368061434829e+08 -2.0184142445531678e+08 -1.9984357520966533e+08 -1.9751457229305699e+08 -1.9508995892889357e+08 -1.9274067137674296e+08 -1.9059035987592545e+08 -1.8872227816563651e+08 -1.8716487711619085e+08 -1.8592322865279594e+08 -1.8497220705603796e+08 -1.8425778901153797e+08 -1.8372795626296338e+08 -1.8332007965103719e+08 -1.8298296162658620e+08 -1.8268162775004050e+08 -1.8247418246192071e+08 -1.8226635214167544e+08 -1.8205498905653751e+08 -1.8183385426198795e+08 -1.8160579911732563e+08 -1.8136660884838164e+08 -1.8111240555177453e+08 -1.8083786660488367e+08 -1.8054400631013045e+08 -1.8022540590068564e+08 -1.7987783364357522e+08 -1.7949614764018065e+08 -1.7907455500249943e+08 -1.7860711541130698e+08 -1.7808302802519071e+08 -1.7749915858983535e+08 -1.7684446124490893e+08 -1.7610942639582726e+08 -1.7528382076646763e+08 -1.7435709037643299e+08 -1.7331864980995780e+08 -1.7215908696385920e+08 -1.7086867808110765e+08 -1.6944074977994829e+08 -1.6787343049955222e+08 -1.6617034676670831e+08 -1.6434485866106322e+08 -1.6241970074027652e+08 -1.6043814860641554e+08 -1.5846671051790255e+08 -1.5660048443730155e+08 -1.5498658261262462e+08 -1.5382647117718381e+08 -1.5341152226065481e+08 -1.5415815777950847e+08 -1.5667923641678518e+08 -1.6190307344255453e+08 -1.7130066817020288e+08 -1.8733127353528023e+08 1.0759957528565355e+08 +7.8066022007335656e-01 -7.4298258266137823e+07 -7.4222385482076347e+07 -7.4095387340488255e+07 -7.3932919031533897e+07 -7.3776818390022084e+07 -7.3689850372392908e+07 -7.3699551522212207e+07 -7.3758881592020124e+07 -7.3820445226783633e+07 -7.3875094525846869e+07 -7.3928911640128747e+07 -7.3983026393461451e+07 -7.4036665680172369e+07 -7.4089878874961197e+07 -7.4143272553387552e+07 -7.4197212950048938e+07 -7.4252243877454907e+07 -7.4309358261277765e+07 -7.4369770720110863e+07 -7.4434834212821350e+07 -7.4506058161056802e+07 -7.4584982416851372e+07 -7.4672084981313482e+07 -7.4767650433336273e+07 -7.4881596287026018e+07 -7.5022152609793723e+07 -7.5188217199469998e+07 -7.5381339054040745e+07 -7.5606001573512077e+07 -7.5867861307713047e+07 -7.6173521543360040e+07 -7.6530641654442489e+07 -7.6948097376249328e+07 -7.7436165982536450e+07 -7.8006740410669699e+07 -7.8673558606274113e+07 -7.9452467590514198e+07 -8.0361709237903640e+07 -8.1422241620459124e+07 -8.2658066386594996e+07 -8.4212695706548154e+07 -8.6040267373663828e+07 -8.8185156372828245e+07 -9.0697655515664548e+07 -9.3634192945046306e+07 -9.7057175806575701e+07 -1.0103415868964139e+08 -1.0563583415351099e+08 -1.1093221624724795e+08 -1.1698532666139778e+08 -1.2384052207500093e+08 -1.3150480774676673e+08 -1.3992494027772129e+08 -1.4897500286216366e+08 -1.5842166271541008e+08 -1.6792840582424566e+08 -1.7707008143178397e+08 -1.8538787001851067e+08 -1.9246225893542129e+08 -1.9798330661555368e+08 -2.0180725584967551e+08 -2.0396024968514392e+08 -2.0461990602634865e+08 -2.0405554450546369e+08 -2.0258358061531639e+08 -2.0051674240753195e+08 -1.9812958639184919e+08 -1.9565711976613438e+08 -1.9326929016049927e+08 -1.9108859758507118e+08 -1.8919719441650054e+08 -1.8762237288235337e+08 -1.8636819730239269e+08 -1.8540855953216910e+08 -1.8468849513738215e+08 -1.8415517790172175e+08 -1.8374519990929770e+08 -1.8340676877848154e+08 -1.8310453277887517e+08 -1.8289655521972516e+08 -1.8268822417204028e+08 -1.8247636604409790e+08 -1.8225471882662395e+08 -1.8202613696610755e+08 -1.8178640194299763e+08 -1.8153159050584650e+08 -1.8125641790354440e+08 -1.8096187922699055e+08 -1.8064254316353130e+08 -1.8029416818365833e+08 -1.7991160048660895e+08 -1.7948903377445182e+08 -1.7902052111567083e+08 -1.7849520124107394e+08 -1.7790998214284235e+08 -1.7725377118377274e+08 -1.7651703675624919e+08 -1.7568952189813036e+08 -1.7476064819785583e+08 -1.7371980573836929e+08 -1.7255756750873694e+08 -1.7126415316068253e+08 -1.6983292152004960e+08 -1.6826197624907756e+08 -1.6655495226989755e+08 -1.6472524058037406e+08 -1.6279562835554370e+08 -1.6080949136332583e+08 -1.5883349812210494e+08 -1.5696293540239361e+08 -1.5534529972493434e+08 -1.5418250471673980e+08 -1.5376660303782448e+08 -1.5451496824750945e+08 -1.5704188043311980e+08 -1.6227780664804298e+08 -1.7169715988494068e+08 -1.8776484197097018e+08 1.0867727934855463e+08 +7.8562854284761463e-01 -7.5148921724527583e+07 -7.5073167252268225e+07 -7.4946390047758877e+07 -7.4784216594930127e+07 -7.4628411624837518e+07 -7.4541637302532032e+07 -7.4551381304735109e+07 -7.4610680426179945e+07 -7.4672220748749718e+07 -7.4726873035151467e+07 -7.4780713200061575e+07 -7.4834872212600201e+07 -7.4888582629092708e+07 -7.4941898636394858e+07 -7.4995431256897628e+07 -7.5049552633943111e+07 -7.5104813440712392e+07 -7.5162214217464134e+07 -7.5222978597798109e+07 -7.5288470041169196e+07 -7.5360210680053875e+07 -7.5439755623292923e+07 -7.5527605485181227e+07 -7.5624084204589739e+07 -7.5739143985208035e+07 -7.5881030947099596e+07 -7.6048670731695741e+07 -7.6243652778688148e+07 -7.6470508467300966e+07 -7.6734950139661610e+07 -7.7043645818523049e+07 -7.7404329840381488e+07 -7.7825964422400758e+07 -7.8318926373006701e+07 -7.8895222839704454e+07 -7.9568722193646744e+07 -8.0355419757726356e+07 -8.1273724952758506e+07 -8.2344783894054875e+07 -8.3592807151917472e+07 -8.5162669501328826e+07 -8.7007977954552397e+07 -8.9173433737073675e+07 -9.1709661336970955e+07 -9.4673404387071699e+07 -9.8127333987271681e+07 -1.0213916171803334e+08 -1.0677954641116597e+08 -1.1211815812962693e+08 -1.1821619709201427e+08 -1.2511754872257516e+08 -1.3282682952175239e+08 -1.4128734811114711e+08 -1.5036887071978587e+08 -1.5983309278407711e+08 -1.6933876584456500e+08 -1.7845727987121835e+08 -1.8672873586756626e+08 -1.9373550305087513e+08 -1.9917221032338214e+08 -2.0290146613630885e+08 -2.0495614114285696e+08 -2.0551985014440474e+08 -2.0486632582794273e+08 -2.0331474908653960e+08 -2.0117909299316704e+08 -1.9873398828985953e+08 -1.9621387668168712e+08 -1.9378769921426851e+08 -1.9157679568857279e+08 -1.8966221317212561e+08 -1.8807008495462984e+08 -1.8680346977722210e+08 -1.8583528045500416e+08 -1.8510961615858650e+08 -1.8457284746612015e+08 -1.8416079208479175e+08 -1.8382106648205891e+08 -1.8351794445964855e+08 -1.8330944555743244e+08 -1.8310062465404493e+08 -1.8288828250543457e+08 -1.8266613438245416e+08 -1.8243703767912897e+08 -1.8219677043549839e+08 -1.8194136384035957e+08 -1.8166557186978585e+08 -1.8137037010268489e+08 -1.8105031496208343e+08 -1.8070115534126785e+08 -1.8031772580530676e+08 -1.7989420694688982e+08 -1.7942464561339468e+08 -1.7889812026083660e+08 -1.7831158186095428e+08 -1.7765389132932177e+08 -1.7691549553981721e+08 -1.7608611437525669e+08 -1.7515514554212952e+08 -1.7411195517166415e+08 -1.7294710191352406e+08 -1.7165074894095591e+08 -1.7021628818336487e+08 -1.6864179838710254e+08 -1.6693092268197954e+08 -1.6509708228897840e+08 -1.6316311581935513e+08 -1.6117249695862645e+08 -1.5919205110091394e+08 -1.5731724852333981e+08 -1.5569596287788752e+08 -1.5453054460049546e+08 -1.5411371181006989e+08 -1.5486376792942637e+08 -1.5739638263644063e+08 -1.6264412656286335e+08 -1.7208475004370803e+08 -1.8818867548591134e+08 1.0975666683053793e+08 +7.9059686562187270e-01 -7.6002586568852291e+07 -7.5926948275213450e+07 -7.5800391558483988e+07 -7.5638510664712563e+07 -7.5482999056377247e+07 -7.5396416715661868e+07 -7.5406203483148113e+07 -7.5465472778718919e+07 -7.5526990688200355e+07 -7.5581646622754231e+07 -7.5635510486004055e+07 -7.5689714365078583e+07 -7.5743496508160055e+07 -7.5796915932854399e+07 -7.5850588065575972e+07 -7.5904891005065963e+07 -7.5960382251242325e+07 -7.6018069968838662e+07 -7.6079186817957327e+07 -7.6145106765245691e+07 -7.6217364670107111e+07 -7.6297530899341062e+07 -7.6386128676716670e+07 -7.6483521273854941e+07 -7.6599695672385886e+07 -7.6742914131585941e+07 -7.6912130092732430e+07 -7.7108973410240591e+07 -7.7338023442889839e+07 -7.7605048323552400e+07 -7.7916780799215123e+07 -7.8281030144749179e+07 -7.8706845011578336e+07 -7.9204701666483551e+07 -7.9786721345416680e+07 -8.0466902658439562e+07 -8.1261388953810662e+07 -8.2188756792331398e+07 -8.3270339745600343e+07 -8.4530556464762107e+07 -8.6115642294451043e+07 -8.7978671602165192e+07 -9.0164668792914093e+07 -9.2724585654518157e+07 -9.5715475099490955e+07 -9.9200263453577906e+07 -1.0324680718130906e+08 -1.0792571491360405e+08 -1.1330629094077532e+08 -1.1944888640980570e+08 -1.2639588285948002e+08 -1.3414947310574360e+08 -1.4264948709412625e+08 -1.5176135877384752e+08 -1.6124182423651117e+08 -1.7074495135827670e+08 -1.7983876114342293e+08 -1.8806239167483750e+08 -1.9500021138695672e+08 -2.0035150934498042e+08 -2.0398530349860963e+08 -2.0594118701243517e+08 -2.0640872972766316e+08 -2.0566601610134098e+08 -2.0403492897252473e+08 -2.0183063125237000e+08 -1.9932778563301915e+08 -1.9676023938892093e+08 -1.9429590945473692e+08 -1.9205496576063892e+08 -1.9011734633712155e+08 -1.8850802538492236e+08 -1.8722905818248984e+08 -1.8625238193886578e+08 -1.8552116418025774e+08 -1.8498097704584593e+08 -1.8456686824970880e+08 -1.8422586679170594e+08 -1.8392187482833689e+08 -1.8371286549830267e+08 -1.8350356559687608e+08 -1.8329075043590948e+08 -1.8306811291043147e+08 -1.8283851322224754e+08 -1.8259772627570996e+08 -1.8234173748953107e+08 -1.8206534041959250e+08 -1.8176949083353329e+08 -1.8144873317117712e+08 -1.8109880696860236e+08 -1.8071453542310846e+08 -1.8029008631892696e+08 -1.7981950067234948e+08 -1.7929179681863928e+08 -1.7870396943980652e+08 -1.7804483333416522e+08 -1.7730481435016030e+08 -1.7647360974745467e+08 -1.7554059389748988e+08 -1.7449510952964267e+08 -1.7332770152153799e+08 -1.7202847668118250e+08 -1.7059086093461397e+08 -1.6901290797518629e+08 -1.6729826895199490e+08 -1.6546039461573264e+08 -1.6352217383401999e+08 -1.6152717596331212e+08 -1.5954237989547250e+08 -1.5766343411889142e+08 -1.5603858228405690e+08 -1.5487060096411803e+08 -1.5445285868564770e+08 -1.5520456698267120e+08 -1.5774275335044709e+08 -1.6300204385486591e+08 -1.7246344993371737e+08 -1.8860278642559335e+08 1.1083768767245285e+08 +7.9556518839613077e-01 -7.6859212122267246e+07 -7.6783689727655709e+07 -7.6657350408210486e+07 -7.6495760414747581e+07 -7.6340539503720358e+07 -7.6254148118386686e+07 -7.6263977404552594e+07 -7.6323217614902377e+07 -7.6384713875431120e+07 -7.6439374244035423e+07 -7.6493262304231659e+07 -7.6547511734806582e+07 -7.6601366183152184e+07 -7.6654889612466142e+07 -7.6708701820012182e+07 -7.6763186870568201e+07 -7.6818909079809487e+07 -7.6876884254551351e+07 -7.6938354077397302e+07 -7.7004703039488360e+07 -7.7077478731396332e+07 -7.7158266782706112e+07 -7.7247613019127190e+07 -7.7345920017735466e+07 -7.7463209620572224e+07 -7.7607760307821900e+07 -7.7778553276433259e+07 -7.7977258765486762e+07 -7.8208504107741877e+07 -7.8478113220447779e+07 -7.8792883555986062e+07 -7.9160699295526013e+07 -7.9590695468342170e+07 -8.0093447712026462e+07 -8.0681191216145411e+07 -8.1368054627816424e+07 -8.2170329026291475e+07 -8.3106757683954626e+07 -8.4198861016438127e+07 -8.5471264883471608e+07 -8.7071563005016699e+07 -8.8952295272960439e+07 -9.1158806146546736e+07 -9.3742370260515988e+07 -9.6760343507996604e+07 -1.0027589861391668e+08 -1.0435702471845688e+08 -1.0907426368717144e+08 -1.1449653220122115e+08 -1.2068330477721745e+08 -1.2767542664323908e+08 -1.3547263247018349e+08 -1.4401124364560705e+08 -1.5315234769619593e+08 -1.6264773521265286e+08 -1.7214684249841830e+08 -1.8121441266186717e+08 -1.8938873723418766e+08 -1.9625629999833947e+08 -2.0152113793686703e+08 -2.0505872024826130e+08 -2.0691535582884425e+08 -2.0728652671476629e+08 -2.0645460756657487e+08 -2.0474411994606149e+08 -2.0247136192326969e+08 -1.9991098643309456e+08 -1.9729621790717211e+08 -1.9479393206487903e+08 -1.9252311961499390e+08 -1.9056260603791094e+08 -1.8893620643692306e+08 -1.8764497482750082e+08 -1.8665987629839724e+08 -1.8592315150616306e+08 -1.8537957892684171e+08 -1.8496344067140809e+08 -1.8462118195681515e+08 -1.8431633611600637e+08 -1.8410682725914437e+08 -1.8389705920393163e+08 -1.8368378202470258e+08 -1.8346066658479241e+08 -1.8323057575431189e+08 -1.8298928160635847e+08 -1.8273272357918960e+08 -1.8245573566076383e+08 -1.8215925350761706e+08 -1.8183780985771641e+08 -1.8148713510912803e+08 -1.8110204135788268e+08 -1.8067668387991843e+08 -1.8020509825038460e+08 -1.7967624283813602e+08 -1.7908715676367199e+08 -1.7842660903853050e+08 -1.7768500497877878e+08 -1.7685201975068519e+08 -1.7591700493777582e+08 -1.7486928041645658e+08 -1.7369937785859573e+08 -1.7239734782167965e+08 -1.7095665111870790e+08 -1.6937531625328523e+08 -1.6765700220554483e+08 -1.6581518856387395e+08 -1.6387281327371001e+08 -1.6187353911944383e+08 -1.5988449511540872e+08 -1.5800150267400628e+08 -1.5637316832044545e+08 -1.5520268410695857e+08 -1.5478405393585828e+08 -1.5553737572855201e+08 -1.5808100306531441e+08 -1.6335156936421353e+08 -1.7283327102411175e+08 -1.8900718733415571e+08 1.1192029209695438e+08 +8.0053351117038885e-01 -7.7718755527049631e+07 -7.7643347578568086e+07 -7.7517225546005726e+07 -7.7355923526712671e+07 -7.7200992341007337e+07 -7.7114790472205311e+07 -7.7124662110878587e+07 -7.7183874090931952e+07 -7.7245349170351908e+07 -7.7300014639034778e+07 -7.7353927371732891e+07 -7.7408223073628440e+07 -7.7462150393066749e+07 -7.7515778400666937e+07 -7.7569731235252678e+07 -7.7624398904247150e+07 -7.7680352567118540e+07 -7.7738615682257280e+07 -7.7800438941249862e+07 -7.7867217386221781e+07 -7.7940511332899004e+07 -7.8021921679577604e+07 -7.8112016844403654e+07 -7.8211238681343272e+07 -7.8329643970087677e+07 -7.8475527488787055e+07 -7.8647898144990414e+07 -7.8848466529131174e+07 -7.9081907937184885e+07 -7.9354102058462679e+07 -7.9671911026593044e+07 -8.0043293887850121e+07 -8.0477471983971998e+07 -8.0985120224869832e+07 -8.1578587605935141e+07 -8.2272132594547853e+07 -8.3082193687532365e+07 -8.4027680419653565e+07 -8.5130299412000984e+07 -8.6414882830793276e+07 -8.8030380416620478e+07 -8.9928795789270699e+07 -9.2155790272197157e+07 -9.4762956818583399e+07 -9.7807947916486219e+07 -1.0135417376621301e+08 -1.0546974387561595e+08 -1.1022511669378169e+08 -1.1568879941112897e+08 -1.2191936240277468e+08 -1.2895608237401919e+08 -1.3679620186540779e+08 -1.4537250464233419e+08 -1.5454171883688840e+08 -1.6405070477596787e+08 -1.7354432056481892e+08 -1.8258412320607316e+08 -1.9070767382619229e+08 -1.9750368644651017e+08 -2.0268103178479901e+08 -2.0612166997430855e+08 -2.0787861721252987e+08 -2.0815322393169117e+08 -2.0723209317253384e+08 -2.0544232224031758e+08 -2.0310129018958908e+08 -2.0048359906436834e+08 -1.9782182255972624e+08 -1.9528177849092343e+08 -1.9298126930276659e+08 -1.9099800462231424e+08 -1.8935464058403540e+08 -1.8805123222577783e+08 -1.8705777604785073e+08 -1.8631559063640282e+08 -1.8576866559062463e+08 -1.8535052181218988e+08 -1.8500702442032108e+08 -1.8470134074677065e+08 -1.8449134325065675e+08 -1.8428111787171096e+08 -1.8406738965392211e+08 -1.8384380777262548e+08 -1.8361323762674525e+08 -1.8337144876221597e+08 -1.8311433442783329e+08 -1.8283676989266068e+08 -1.8253967040430960e+08 -1.8221755727929497e+08 -1.8186615199674633e+08 -1.8148025581774473e+08 -1.8105401180936569e+08 -1.8058145049473080e+08 -1.8005147043116409e+08 -1.7946115590511495e+08 -1.7879923047053823e+08 -1.7805607940324110e+08 -1.7722135630613822e+08 -1.7628439052152270e+08 -1.7523447961999974e+08 -1.7406214263381109e+08 -1.7275737398412371e+08 -1.7131367025982359e+08 -1.6972903463876188e+08 -1.6800713374460122e+08 -1.6616147531130171e+08 -1.6421504518508723e+08 -1.6221159733874133e+08 -1.6021840753798786e+08 -1.5833146484001717e+08 -1.5669973152815071e+08 -1.5552680449139324e+08 -1.5510730799461085e+08 -1.5586220465164447e+08 -1.5841114243705657e+08 -1.6369271410231441e+08 -1.7319422496567699e+08 -1.8940189095456728e+08 1.1300443060794136e+08 +8.0550183394464692e-01 -7.8581176835557133e+07 -7.8505882789528176e+07 -7.8379975426127285e+07 -7.8218959187829331e+07 -7.8064315209089756e+07 -7.7978301768693715e+07 -7.7988216605715841e+07 -7.8047400663518578e+07 -7.8108855284970358e+07 -7.8163526391827345e+07 -7.8217464371646807e+07 -7.8271806980795026e+07 -7.8325807763692021e+07 -7.8379540898153082e+07 -7.8433634892744467e+07 -7.8488485647512734e+07 -7.8544671225502357e+07 -7.8603222729124919e+07 -7.8665399845176682e+07 -7.8732608197705030e+07 -7.8806420814088732e+07 -7.8888453866589710e+07 -7.8979298355208710e+07 -7.9079435380703807e+07 -7.9198956731909752e+07 -7.9346173557888880e+07 -7.9520122430712461e+07 -7.9722554255930662e+07 -7.9958192276564091e+07 -8.0232971935948327e+07 -8.0553820018142566e+07 -8.0928770385936186e+07 -8.1367130618639395e+07 -8.1879674788935766e+07 -8.2478865537382022e+07 -8.3179090919105858e+07 -8.3996936517614529e+07 -8.4951477658709526e+07 -8.6064606505123302e+07 -8.7361360596497744e+07 -8.8992043180583864e+07 -9.0908119841926843e+07 -9.3155565514800623e+07 -9.5786286867647916e+07 -9.8858226511019096e+07 -1.0243502310203148e+08 -1.0658489411107007e+08 -1.1137819783667292e+08 -1.1688301005658582e+08 -1.2315696954813877e+08 -1.3023775250297719e+08 -1.3812007582825941e+08 -1.4673315742646107e+08 -1.5592935422990036e+08 -1.6545061291693500e+08 -1.7493726802137157e+08 -1.8394778291456690e+08 -1.9201910420597240e+08 -1.9874228978381816e+08 -2.0383112798531702e+08 -2.0717410752451706e+08 -2.0883094185251620e+08 -2.0900880507856956e+08 -2.0799846656572345e+08 -2.0612953663929793e+08 -2.0372042167335808e+08 -2.0104563225731444e+08 -1.9833706396919388e+08 -1.9575946044074133e+08 -1.9342942711136326e+08 -1.9142355465789366e+08 -1.8976334050984704e+08 -1.8844784309339827e+08 -1.8744609390058661e+08 -1.8669849426776290e+08 -1.8614824971374851e+08 -1.8572812432799530e+08 -1.8538340681932229e+08 -1.8507690133790496e+08 -1.8486642607610348e+08 -1.8465575418918628e+08 -1.8444158589798605e+08 -1.8421754903285059e+08 -1.8398651138290471e+08 -1.8374424026972759e+08 -1.8348658254495201e+08 -1.8320845560576841e+08 -1.8291075399375778e+08 -1.8258798788413548e+08 -1.8223587005566773e+08 -1.8184919120013458e+08 -1.8142208247566080e+08 -1.8094856974131796e+08 -1.8041749189848536e+08 -1.7982597912422413e+08 -1.7916270984476489e+08 -1.7841804978743139e+08 -1.7758163152094293e+08 -1.7664276269138542e+08 -1.7559071911122262e+08 -1.7441600773766050e+08 -1.7310856697045347e+08 -1.7166193006161883e+08 -1.7007407472715405e+08 -1.6834867504671550e+08 -1.6649926620920497e+08 -1.6454888078667158e+08 -1.6254136170241848e+08 -1.6054412810817635e+08 -1.5865333143345046e+08 -1.5701828261273885e+08 -1.5584297274257925e+08 -1.5542263145779410e+08 -1.5617906439952877e+08 -1.5873318228755340e+08 -1.6402548925185406e+08 -1.7354632359022659e+08 -1.8978691022756609e+08 1.1409005398999251e+08 +8.1047015671890499e-01 -7.9446433896549255e+07 -7.9371253281647950e+07 -7.9245560000922695e+07 -7.9084825837532207e+07 -7.8930467970748916e+07 -7.8844640522799656e+07 -7.8854598787331671e+07 -7.8913755860106081e+07 -7.8975190682816431e+07 -7.9029868061782390e+07 -7.9083831917462513e+07 -7.9138221926990032e+07 -7.9192296810788095e+07 -7.9246135574170902e+07 -7.9300371235495552e+07 -7.9355405513363659e+07 -7.9411823440221146e+07 -7.9470663743777081e+07 -7.9533195097749427e+07 -7.9600833738396242e+07 -7.9675165387055233e+07 -7.9757821493376926e+07 -7.9849415627299353e+07 -7.9950468104203716e+07 -8.0071105789668590e+07 -8.0219656271288335e+07 -8.0395183738673896e+07 -8.0599479373051435e+07 -8.0837314343198001e+07 -8.1114679822876915e+07 -8.1438567209766999e+07 -8.1817085125586480e+07 -8.2259627303683251e+07 -8.2777066858997211e+07 -8.3381979903501794e+07 -8.4088883832532212e+07 -8.4914510966614887e+07 -8.5878101930261523e+07 -8.7001733738164067e+07 -8.8310648340435252e+07 -8.9956499818771660e+07 -9.1890213993859187e+07 -9.4158076093943834e+07 -9.6812301825397357e+07 -9.9911117363876253e+07 -1.0351838071093443e+08 -1.0770240480020873e+08 -1.1253343096544629e+08 -1.1807908161598420e+08 -1.2439603653476629e+08 -1.3152033963908255e+08 -1.3944414918944740e+08 -1.4809308981236866e+08 -1.5731513659804508e+08 -1.6684734055488974e+08 -1.7632556849481308e+08 -1.8530528327849975e+08 -1.9332293259131369e+08 -1.9997203053712833e+08 -2.0497136502730200e+08 -2.0821598898656029e+08 -2.0977230148986632e+08 -2.0985325471440044e+08 -2.0875372207785738e+08 -2.0680576446963888e+08 -2.0432876242935216e+08 -2.0159709509508109e+08 -1.9884195305448100e+08 -1.9622698988087845e+08 -1.9386760556238830e+08 -1.9183926893048632e+08 -1.9016231910583547e+08 -1.8883482034911874e+08 -1.8782484276784182e+08 -1.8707187529316404e+08 -1.8651834416698521e+08 -1.8609626106874621e+08 -1.8575034198324805e+08 -1.8544303069952643e+08 -1.8523208853138930e+08 -1.8502098093766573e+08 -1.8480638352339163e+08 -1.8458190311660883e+08 -1.8435040975763801e+08 -1.8410766884650928e+08 -1.8384948063130039e+08 -1.8357080548162270e+08 -1.8327251693693054e+08 -1.8294911431046215e+08 -1.8259630189964873e+08 -1.8220886009201714e+08 -1.8178090843632469e+08 -1.8130646851402697e+08 -1.8077431972811228e+08 -1.8018163886784360e+08 -1.7951705956240892e+08 -1.7877092848113328e+08 -1.7793285768674758e+08 -1.7699213367404172e+08 -1.7593801104398367e+08 -1.7476098524206865e+08 -1.7345093876304892e+08 -1.7200144240609437e+08 -1.7041044829048350e+08 -1.6868163776428518e+08 -1.6682857278217688e+08 -1.6487433146775597e+08 -1.6286284346140614e+08 -1.6086166793801984e+08 -1.5896711343620318e+08 -1.5732883244251925e+08 -1.5615119964752039e+08 -1.5573003508336267e+08 -1.5648796578229833e+08 -1.5904713360378140e+08 -1.6434990616627434e+08 -1.7388957891037932e+08 -1.9016225829146641e+08 1.1517711330779949e+08 +8.1543847949316306e-01 -8.0314485810122758e+07 -8.0239416814118460e+07 -8.0113934879010871e+07 -7.9953483072589636e+07 -7.9799407697269097e+07 -7.9713766066824690e+07 -7.9723767613138184e+07 -7.9782898015612811e+07 -7.9844313999047890e+07 -7.9898998032161042e+07 -7.9952988428133115e+07 -8.0007426299565703e+07 -8.0061575921078339e+07 -8.0115520763027653e+07 -8.0169898571007594e+07 -8.0225116790518090e+07 -8.0281767470426008e+07 -8.0340896948285654e+07 -8.0403782882944092e+07 -8.0471852147239476e+07 -8.0546703138541862e+07 -8.0629982584278777e+07 -8.0722326611598924e+07 -8.0824294715792790e+07 -8.0946048901983932e+07 -8.1095933259907067e+07 -8.1273039548392475e+07 -8.1479199182210431e+07 -8.1719231229112476e+07 -8.1999182563590810e+07 -8.2326109154504403e+07 -8.2708194316443548e+07 -8.3154917844167322e+07 -8.3677251763269037e+07 -8.4287885470628202e+07 -8.5001465438517839e+07 -8.5834870357343182e+07 -8.6807505636031687e+07 -8.7941632426303968e+07 -8.9262696095201746e+07 -9.0923698726757854e+07 -9.2875024682964295e+07 -9.5163266107157066e+07 -9.7840942992005900e+07 -1.0096655843740669e+08 -1.0460418058521622e+08 -1.0882220524048547e+08 -1.1369073988235942e+08 -1.1927693156579034e+08 -1.2563647375103159e+08 -1.3280374655662407e+08 -1.4076831708083668e+08 -1.4945219009300703e+08 -1.5869894935839602e+08 -1.6824076954052472e+08 -1.7770910677280378e+08 -1.8665651713358155e+08 -1.9461906465099674e+08 -2.0119283069316083e+08 -2.0610168277545694e+08 -2.0924727167138514e+08 -2.1070266890084675e+08 -2.1068655824389648e+08 -2.0949785471511871e+08 -2.0747100759190685e+08 -2.0492631893865034e+08 -2.0213799700879690e+08 -1.9933650102831218e+08 -1.9668437903489560e+08 -1.9429581741057763e+08 -1.9224516044356886e+08 -1.9055158947163689e+08 -1.8921217711298889e+08 -1.8819403575916731e+08 -1.8743574680053821e+08 -1.8687896201484770e+08 -1.8645494507698485e+08 -1.8610784293461838e+08 -1.8579974183367997e+08 -1.8558834360377929e+08 -1.8537681108968025e+08 -1.8516179548776406e+08 -1.8493688296559739e+08 -1.8470494567640960e+08 -1.8446174740095499e+08 -1.8420304157761294e+08 -1.8392383239139742e+08 -1.8362497208380067e+08 -1.8330094938583589e+08 -1.8294746033136722e+08 -1.8255927526926076e+08 -1.8213050243655115e+08 -1.8165515952508551e+08 -1.8112196659536624e+08 -1.8052814776999837e+08 -1.7986229221052903e+08 -1.7911472801872000e+08 -1.7827504727928266e+08 -1.7733251587929240e+08 -1.7627636775387305e+08 -1.7509708740010548e+08 -1.7378450152377850e+08 -1.7233221935343677e+08 -1.7073816727714649e+08 -1.6900603372491935e+08 -1.6714940672755396e+08 -1.6519140878883895e+08 -1.6317605403448111e+08 -1.6117103830601597e+08 -1.5927282199459144e+08 -1.5763139204885447e+08 -1.5645149615485173e+08 -1.5602952979009947e+08 -1.5678891977194116e+08 -1.5935300753710896e+08 -1.6466597636897036e+08 -1.7422400311815667e+08 -1.9052794848146093e+08 1.1626555990559787e+08 +8.2040680226742113e-01 -8.1185289410264507e+07 -8.1110332604849681e+07 -8.0985059700409845e+07 -8.0824888394809991e+07 -8.0671093429952756e+07 -8.0585636253562838e+07 -8.0595681249154076e+07 -8.0654785483247116e+07 -8.0716183425223976e+07 -8.0770874555950299e+07 -8.0824892126172677e+07 -8.0879378401409075e+07 -8.0933603326551422e+07 -8.0987654665950343e+07 -8.1042175078476742e+07 -8.1097577645594284e+07 -8.1154461451238751e+07 -8.1213880441064805e+07 -8.1277121262364104e+07 -8.1345621440201133e+07 -8.1420992032136559e+07 -8.1504895040569320e+07 -8.1597989136481866e+07 -8.1700872956426635e+07 -8.1823743704546779e+07 -8.1974962031854957e+07 -8.2153647216546401e+07 -8.2361670861849293e+07 -8.2603899902711987e+07 -8.2886436879053935e+07 -8.3216402281801149e+07 -8.3602054044267148e+07 -8.4052957921081960e+07 -8.4580184705777407e+07 -8.5196536880297512e+07 -8.5916789716197550e+07 -8.6757967887669280e+07 -8.7739641052799955e+07 -8.8884253759868711e+07 -9.0217453769216925e+07 -9.1893588176522240e+07 -9.3862498225523606e+07 -9.6171079533035323e+07 -9.8872151553977773e+07 -1.0202448758825523e+08 -1.0569235662390967e+08 -1.0994422465628733e+08 -1.1485004834727345e+08 -1.2047647738699448e+08 -1.2687819165834320e+08 -1.3408787620212819e+08 -1.4209247494310871e+08 -1.5081034704707196e+08 -1.6008067662715426e+08 -1.6963078265762165e+08 -1.7908776880139658e+08 -1.8800137865483105e+08 -1.9590740749293095e+08 -2.0240461368193790e+08 -2.0722202245165816e+08 -2.1026791409462070e+08 -2.1162201788171959e+08 -2.1150870190313092e+08 -2.1023086014733565e+08 -2.0812526839197338e+08 -2.0551309810201254e+08 -2.0266834777280146e+08 -1.9982071939365283e+08 -1.9713164038071710e+08 -1.9471407564115897e+08 -1.9264124241684940e+08 -1.9093116491326371e+08 -1.8957992670545009e+08 -1.8855368618028268e+08 -1.8779012207235473e+08 -1.8723011651575974e+08 -1.8680418958783609e+08 -1.8645592288727754e+08 -1.8614704793365824e+08 -1.8593520447223738e+08 -1.8572325780946335e+08 -1.8550783493962204e+08 -1.8528250171239707e+08 -1.8505013225536349e+08 -1.8480648903138608e+08 -1.8454727846490231e+08 -1.8426754939583334e+08 -1.8396813247415954e+08 -1.8364350612686077e+08 -1.8328935834215215e+08 -1.8290044969518834e+08 -1.8247087740955973e+08 -1.8199465567358732e+08 -1.8146044536227462e+08 -1.8086551865023944e+08 -1.8019842056156996e+08 -1.7944946111989599e+08 -1.7860821295802969e+08 -1.7766392189969233e+08 -1.7660580175864288e+08 -1.7542432664530659e+08 -1.7410926759367284e+08 -1.7265427314154908e+08 -1.7105724381189114e+08 -1.6932187492979589e+08 -1.6746177991482279e+08 -1.6550012448012611e+08 -1.6348100500913391e+08 -1.6147225065675771e+08 -1.5957046841894004e+08 -1.5792597262565276e+08 -1.5674387337472063e+08 -1.5632112665791503e+08 -1.5708193750199515e+08 -1.5965081540349811e+08 -1.6497371155315319e+08 -1.7454960858579087e+08 -1.9088399432910284e+08 1.1735534540659526e+08 +8.2537512504167920e-01 -8.2058805298833713e+07 -8.1983957393028527e+07 -8.1858893684485540e+07 -8.1698999106448054e+07 -8.1545483749200404e+07 -8.1460208965487093e+07 -8.1470297858067840e+07 -8.1529376506685942e+07 -8.1590757045653477e+07 -8.1645455885893747e+07 -8.1699501156405523e+07 -8.1754036402073100e+07 -8.1808337105600789e+07 -8.1862495359665588e+07 -8.1917158815818742e+07 -8.1972746124496281e+07 -8.2029863395588920e+07 -8.2089572200422347e+07 -8.2153168177678809e+07 -8.2222099512842700e+07 -8.2297989910054237e+07 -8.2382516643092245e+07 -8.2476360909824908e+07 -8.2580160446681783e+07 -8.2704147712144375e+07 -8.2856699974372610e+07 -8.3036963978749678e+07 -8.3246851469502598e+07 -8.3491277211431891e+07 -8.3776399368792281e+07 -8.4109402899630055e+07 -8.4498620273242563e+07 -8.4953703093769833e+07 -8.5485820768429950e+07 -8.6107888652340114e+07 -8.6834810522488683e+07 -8.7683756633337796e+07 -8.8674460335191324e+07 -8.9829548807002798e+07 -9.1174871149202451e+07 -9.2866116319659024e+07 -9.4852580819411948e+07 -9.7181460234774783e+07 -9.9905868587568760e+07 -1.0308484257140917e+08 -1.0678284263761142e+08 -1.1106839220381898e+08 -1.1601128008327113e+08 -1.2167763657085170e+08 -1.2812110079861626e+08 -1.3537263170209375e+08 -1.4341651853267848e+08 -1.5216744994506320e+08 -1.6146020322461295e+08 -1.7101726362528226e+08 -1.8046144168332040e+08 -1.8933976334804305e+08 -1.9718786965263546e+08 -2.0360730436279762e+08 -2.0833232661852747e+08 -2.1127787596039400e+08 -2.1253032323228437e+08 -2.1231967274694735e+08 -2.1095273469692615e+08 -2.0876854977357638e+08 -2.0608910723477072e+08 -2.0318815750072497e+08 -2.0029461994036034e+08 -1.9756878664845932e+08 -1.9512239346936139e+08 -1.9302752828453135e+08 -1.9130105894245890e+08 -1.8993808264739200e+08 -1.8890380753375810e+08 -1.8813501458541480e+08 -1.8757182111997080e+08 -1.8714400802794367e+08 -1.8679459524647507e+08 -1.8648496238424200e+08 -1.8627268450618404e+08 -1.8606033445093799e+08 -1.8584451521770090e+08 -1.8561877267945856e+08 -1.8538598279993311e+08 -1.8514190702570742e+08 -1.8488220456279215e+08 -1.8460196974504870e+08 -1.8430201133593819e+08 -1.8397679773825863e+08 -1.8362200911144060e+08 -1.8323239652112755e+08 -1.8280204647573358e+08 -1.8232497004515800e+08 -1.8178976907677948e+08 -1.8119376451380923e+08 -1.8052545757249105e+08 -1.7977514068750942e+08 -1.7893236756581369e+08 -1.7798636451015884e+08 -1.7692632575672379e+08 -1.7574271559086239e+08 -1.7442524949210742e+08 -1.7296761618508181e+08 -1.7136769019447213e+08 -1.6962917355419484e+08 -1.6776570438535681e+08 -1.6580049044190872e+08 -1.6377770814003426e+08 -1.6176531660045680e+08 -1.5986006418342227e+08 -1.5821258552869067e+08 -1.5702834257785967e+08 -1.5660483692672208e+08 -1.5736703026744074e+08 -1.5994056868247518e+08 -1.6527312358130056e+08 -1.7486640786404571e+08 -1.9123040956155691e+08 1.1844642171239713e+08 +8.3034344781593727e-01 -8.2934988161990717e+07 -8.2860250165969148e+07 -8.2735394533349499e+07 -8.2575774676713511e+07 -8.2422535900823548e+07 -8.2337443694389403e+07 -8.2347574724736378e+07 -8.2406629460862592e+07 -8.2467992740978897e+07 -8.2522700181110814e+07 -8.2576773557337061e+07 -8.2631358314629450e+07 -8.2685735212832063e+07 -8.2740000807976782e+07 -8.2794807725602433e+07 -8.2850580153162435e+07 -8.2907931196689606e+07 -8.2967930087405041e+07 -8.3031881453109279e+07 -8.3101244142685741e+07 -8.3177654495724022e+07 -8.3262805053902969e+07 -8.3357399521211058e+07 -8.3462114688685969e+07 -8.3587218321121022e+07 -8.3741104356199041e+07 -8.3922946952338204e+07 -8.4134697943808287e+07 -8.4381319883778602e+07 -8.4669026513470396e+07 -8.5005067196865559e+07 -8.5397848848388731e+07 -8.5857108801964670e+07 -8.6394114913788840e+07 -8.7021895186652929e+07 -8.7755481594536498e+07 -8.8612189550224096e+07 -8.9611915518248156e+07 -9.0777468516958073e+07 -9.2134897903343216e+07 -9.3841231190337151e+07 -9.5845218546675563e+07 -9.8194351963773504e+07 -1.0094203506260115e+08 -1.0414756104375258e+08 -1.0787557235269317e+08 -1.1219463697594085e+08 -1.1717435878195822e+08 -1.2288032662541962e+08 -1.2936511180035372e+08 -1.3665791636924246e+08 -1.4474034392898545e+08 -1.5352338855689442e+08 -1.6283741468024477e+08 -1.7240009709963673e+08 -1.8183001367525366e+08 -1.9067156804352358e+08 -1.9846036108127657e+08 -2.0480082900803718e+08 -2.0943253916264513e+08 -2.1227711814388451e+08 -2.1342756074091327e+08 -2.1311945863554135e+08 -2.1166347532950315e+08 -2.0940085515016088e+08 -2.0665435406010041e+08 -2.0369743664124164e+08 -2.0075821474296880e+08 -1.9799583081878540e+08 -1.9552078433840215e+08 -1.9340403169495654e+08 -1.9166128527571565e+08 -1.9028665865831232e+08 -1.8924441351757762e+08 -1.8847043800984174e+08 -1.8790408947031361e+08 -1.8747441401584262e+08 -1.8712387360854691e+08 -1.8681349876006681e+08 -1.8660079726496139e+08 -1.8638805455859423e+08 -1.8617184985050926e+08 -1.8594570937869975e+08 -1.8571251080544221e+08 -1.8546801486061835e+08 -1.8520783333007535e+08 -1.8492710687706989e+08 -1.8462662208580208e+08 -1.8430083761239386e+08 -1.8394542600564197e+08 -1.8355512908543909e+08 -1.8312402294183433e+08 -1.8264611591146693e+08 -1.8210995097248915e+08 -1.8151289855081204e+08 -1.8084341638491046e+08 -1.8009177980846515e+08 -1.7924752412805456e+08 -1.7829985666672298e+08 -1.7723795262717953e+08 -1.7605226702971071e+08 -1.7473245991662508e+08 -1.7327226107523391e+08 -1.7166951889970210e+08 -1.6992794194617409e+08 -1.6806119235158744e+08 -1.6609251874341446e+08 -1.6406617534956324e+08 -1.6205024791265193e+08 -1.6014162092528901e+08 -1.5849124227519077e+08 -1.5730491519510970e+08 -1.5688067199649516e+08 -1.5764420952322918e+08 -1.6022227901655719e+08 -1.6556422448420832e+08 -1.7517441368232647e+08 -1.9156720810133821e+08 1.1953874100243013e+08 +8.3531177059019535e-01 -8.3813797758950904e+07 -8.3739170407934099e+07 -8.3614517915009454e+07 -8.3455172688404143e+07 -8.3302207872881815e+07 -8.3217297222978175e+07 -8.3227470698003933e+07 -8.3286501872001484e+07 -8.3347848717216387e+07 -8.3402565394999355e+07 -8.3456667234443009e+07 -8.3511302016940162e+07 -8.3565755505977884e+07 -8.3620128870995522e+07 -8.3675079639013946e+07 -8.3731037540606916e+07 -8.3788622632065117e+07 -8.3848911849331409e+07 -8.3913218797566637e+07 -8.3983012991270557e+07 -8.4059943395811051e+07 -8.4145717818921402e+07 -8.4241062444057956e+07 -8.4346693068311140e+07 -8.4472912811478496e+07 -8.4628132329665646e+07 -8.4811553137860626e+07 -8.5025167106873721e+07 -8.5273984531602532e+07 -8.5564274677050695e+07 -8.5903351245597377e+07 -8.6299695497827739e+07 -8.6763130368539706e+07 -8.7305021987206087e+07 -8.7938510766108856e+07 -8.8678756552411526e+07 -8.9543219477229163e+07 -9.0551958519989312e+07 -9.1727963722014517e+07 -9.3097483583824068e+07 -9.4818880708213836e+07 -9.6840357377506644e+07 -9.9209698362649530e+07 -1.0198059184596185e+08 -1.0521258056876777e+08 -1.0897047941560642e+08 -1.1332288800743800e+08 -1.1833920810930488e+08 -1.2408446508120692e+08 -1.3061013538545346e+08 -1.3794363371026084e+08 -1.4606384754089040e+08 -1.5487805315642974e+08 -1.6421219723630330e+08 -1.7377916867548537e+08 -1.8319337418598041e+08 -1.9199669088870713e+08 -1.9972479313469908e+08 -2.0598511528933662e+08 -2.1052260527817759e+08 -2.1326560267502910e+08 -2.1431370716953105e+08 -2.1390804822183928e+08 -2.1236307964228061e+08 -2.1002218843689570e+08 -2.0720884670421135e+08 -2.0419619597431037e+08 -2.0121151615705514e+08 -1.9841278612044856e+08 -1.9590926191795415e+08 -1.9377076650896424e+08 -1.9201185783343568e+08 -1.9062566865624800e+08 -1.8957551802449939e+08 -1.8879640620823732e+08 -1.8822693540085757e+08 -1.8779542136007157e+08 -1.8744377175944191e+08 -1.8713267082566947e+08 -1.8691955649797818e+08 -1.8670643186555356e+08 -1.8648985255545050e+08 -1.8626332551089817e+08 -1.8602972995522609e+08 -1.8578482620134830e+08 -1.8552417841367352e+08 -1.8524297441772261e+08 -1.8494197832724646e+08 -1.8461563932925189e+08 -1.8425962257847911e+08 -1.8386866091259429e+08 -1.8343682030080929e+08 -1.8295810672996151e+08 -1.8242100446797600e+08 -1.8182293413577187e+08 -1.8115231032374325e+08 -1.8039939175228193e+08 -1.7955369585184833e+08 -1.7860441150699881e+08 -1.7754069542957914e+08 -1.7635299393292454e+08 -1.7503091174222621e+08 -1.7356822057965115e+08 -1.7196274257674921e+08 -1.7021819262640482e+08 -1.6834825619662660e+08 -1.6637622162282917e+08 -1.6434641872620949e+08 -1.6232705653264898e+08 -1.6041515044465145e+08 -1.5876195454346275e+08 -1.5757360281751612e+08 -1.5714864342648369e+08 -1.5791348688509062e+08 -1.6049595821131471e+08 -1.6584702646124932e+08 -1.7547363894792333e+08 -1.9189440406539893e+08 1.2063225573336299e+08 +8.4028009336445342e-01 -8.4695192495800257e+07 -8.4620672044449657e+07 -8.4496225050980166e+07 -8.4337150498964906e+07 -8.4184459186985642e+07 -8.4099727229575351e+07 -8.4109943948754430e+07 -8.4168951621425495e+07 -8.4230282632770151e+07 -8.4285009202600732e+07 -8.4339140008768916e+07 -8.4393825271787643e+07 -8.4448355745768204e+07 -8.4502837305137873e+07 -8.4557932278407067e+07 -8.4614075981435865e+07 -8.4671895366958216e+07 -8.4732475121238336e+07 -8.4797137806910232e+07 -8.4867363606552124e+07 -8.4944814102951482e+07 -8.5031212369950697e+07 -8.5127307037856892e+07 -8.5233852857431352e+07 -8.5361188349006414e+07 -8.5517740932917371e+07 -8.5702739421786800e+07 -8.5918215666505039e+07 -8.6169227652372390e+07 -8.6462100109143555e+07 -8.6804211003305167e+07 -8.7204115834888846e+07 -8.7671723001782119e+07 -8.8218496719371930e+07 -8.8857689558792964e+07 -8.9604588901403084e+07 -9.0476799138482839e+07 -9.1494541144097224e+07 -9.2680985140898854e+07 -9.4062577630184501e+07 -9.5799012681441039e+07 -9.7837943172838300e+07 -1.0022744296902418e+08 -1.0302147970564896e+08 -1.0627983861989084e+08 -1.1006749739758910e+08 -1.1445307427912165e+08 -1.1950575171048349e+08 -1.2528996949721591e+08 -1.3185608237564890e+08 -1.3922968743212351e+08 -1.4738692611455902e+08 -1.5623133452904069e+08 -1.6558443785347864e+08 -1.7515436488832697e+08 -1.8455141377322024e+08 -1.9331503134163693e+08 -2.0098107856199563e+08 -2.0716009226169509e+08 -2.1160247144960666e+08 -2.1424329272228080e+08 -2.1518874023914585e+08 -2.1468543093899968e+08 -2.1305154585552219e+08 -2.1063255404336503e+08 -2.0775259369016069e+08 -2.0468444660637277e+08 -2.0165453681678286e+08 -1.9881966602792010e+08 -1.9628784010258397e+08 -1.9412774679896379e+08 -1.9235279073868549e+08 -1.9095512675677568e+08 -1.8989713514140680e+08 -1.8911293323550746e+08 -1.8854037293669996e+08 -1.8810704405950457e+08 -1.8775430367491144e+08 -1.8744249253462616e+08 -1.8722897614302728e+08 -1.8701548029410216e+08 -1.8679853723852482e+08 -1.8657163496540463e+08 -1.8633765412099078e+08 -1.8609235490093195e+08 -1.8583125364764407e+08 -1.8554958618047291e+08 -1.8524809385107863e+08 -1.8492121665488234e+08 -1.8456461256945527e+08 -1.8417300571326554e+08 -1.8374045223064545e+08 -1.8326095614269355e+08 -1.8272294316606253e+08 -1.8212388482688141e+08 -1.8145215289735147e+08 -1.8069798997097450e+08 -1.7985089612614644e+08 -1.7890004234905812e+08 -1.7783456740215254e+08 -1.7664490945061255e+08 -1.7532061802071485e+08 -1.7385550764080653e+08 -1.7224737404864466e+08 -1.7049993828809658e+08 -1.6862690847386274e+08 -1.6665161148619592e+08 -1.6461845052478868e+08 -1.6259575456473818e+08 -1.6068066470305860e+08 -1.5902473417204520e+08 -1.5783441719491503e+08 -1.5740876293440503e+08 -1.5817487412789068e+08 -1.6076161823445427e+08 -1.6612154187924662e+08 -1.7576409674552271e+08 -1.9221201176450217e+08 1.2172691863852468e+08 +8.4524841613871149e-01 -8.5579128248431772e+07 -8.5504714751105174e+07 -8.5380470411953405e+07 -8.5221664797196612e+07 -8.5069245275154039e+07 -8.4984691622803524e+07 -8.4994951411733940e+07 -8.5053936647832185e+07 -8.5115252188535824e+07 -8.5169989166229159e+07 -8.5224149559057876e+07 -8.5278885730546936e+07 -8.5333493583696723e+07 -8.5388083757506013e+07 -8.5443323258724719e+07 -8.5499653059134528e+07 -8.5557706957530275e+07 -8.5618577427380234e+07 -8.5683595965765893e+07 -8.5754253424765572e+07 -8.5832223997766197e+07 -8.5919246027001083e+07 -8.6016090550130591e+07 -8.6123551215964079e+07 -8.6252001987385407e+07 -8.6409887092249915e+07 -8.6596462578648403e+07 -8.6813800218402907e+07 -8.7067005631520241e+07 -8.7362458946927935e+07 -8.7707602315415218e+07 -8.8111065360924482e+07 -8.8582841797405705e+07 -8.9134493728580937e+07 -8.9779385620435551e+07 -9.0532932034396857e+07 -9.1412881146091446e+07 -9.2439615082550630e+07 -9.3636483381103635e+07 -9.5030129371449962e+07 -9.6781574809760258e+07 -9.8837921688092381e+07 -1.0124752921860342e+08 -1.0406463931388675e+08 -1.0734927258482690e+08 -1.1116655979853299e+08 -1.1558512472356376e+08 -1.2067391321591932e+08 -1.2649675746714069e+08 -1.3310286369916551e+08 -1.4051598144948462e+08 -1.4870947673960122e+08 -1.5758312397703826e+08 -1.6695402421446609e+08 -1.7652557321444359e+08 -1.8590402414187735e+08 -1.9462649016306636e+08 -2.0222913149355286e+08 -2.0832569035031953e+08 -2.1267208543650714e+08 -2.1521015257670692e+08 -2.1605263861444765e+08 -2.1545159698836279e+08 -2.1372887280172777e+08 -2.1123195686647761e+08 -2.0828560393303469e+08 -2.0516219996733007e+08 -2.0208728963211736e+08 -1.9921648426051041e+08 -1.9665653301037315e+08 -1.9447498684762976e+08 -1.9268409831698924e+08 -1.9127504727214971e+08 -1.9020927914902711e+08 -1.8942003333827201e+08 -1.8884441629289219e+08 -1.8840929630246279e+08 -1.8805548351985615e+08 -1.8774297802932331e+08 -1.8752907032645464e+08 -1.8731521395460141e+08 -1.8709791799359933e+08 -1.8687065181834412e+08 -1.8663629736128497e+08 -1.8639061499923360e+08 -1.8612907305327931e+08 -1.8584695616508013e+08 -1.8554498263428918e+08 -1.8521758354198381e+08 -1.8486040990406349e+08 -1.8446817738297826e+08 -1.8403493259451780e+08 -1.8355467797623661e+08 -1.8301578085339680e+08 -1.8241576436542839e+08 -1.8174295779617852e+08 -1.8098758809815705e+08 -1.8013913852065551e+08 -1.7918676269074413e+08 -1.7811958196243766e+08 -1.7692802690994769e+08 -1.7560159198022661e+08 -1.7413413537634143e+08 -1.7252342631143343e+08 -1.7077319179503539e+08 -1.6889716190609294e+08 -1.6691870090759131e+08 -1.6488228316574657e+08 -1.6285635427622497e+08 -1.6093817582448825e+08 -1.5927959315974009e+08 -1.5808737023598370e+08 -1.5766104239694563e+08 -1.5842838318561515e+08 -1.6101927121529126e+08 -1.6638778327179521e+08 -1.7604580033646417e+08 -1.9252004570284119e+08 1.2282268272732085e+08 +8.5021673891296956e-01 -8.6465565838572577e+07 -8.6391257776542440e+07 -8.6267212907086059e+07 -8.6108675890410796e+07 -8.5956524157640338e+07 -8.5872148825658917e+07 -8.5882451081957906e+07 -8.5941414396356568e+07 -8.6002715271815032e+07 -8.6057462790538311e+07 -8.6111653396555036e+07 -8.6166440945828274e+07 -8.6221126564387321e+07 -8.6275825759714365e+07 -8.6331210086554930e+07 -8.6387726247608006e+07 -8.6446014852960050e+07 -8.6507176182211146e+07 -8.6572550649257958e+07 -8.6643639772516057e+07 -8.6722130352082103e+07 -8.6809776000385359e+07 -8.6907370118690446e+07 -8.7015745194290161e+07 -8.7145310670704082e+07 -8.7304527624008507e+07 -8.7492679273232549e+07 -8.7711877248340726e+07 -8.7967274744465470e+07 -8.8265307218000621e+07 -8.8613480917148650e+07 -8.9020499467056215e+07 -8.9496441741395086e+07 -9.0052967523239046e+07 -9.0703552896957576e+07 -9.1463739234780535e+07 -9.2351418002894774e+07 -9.3387131918363258e+07 -9.4594408941907868e+07 -9.6000088029629335e+07 -9.7766514687274843e+07 -9.9840238575444028e+07 -1.0226990044873606e+08 -1.0511001125124748e+08 -1.0842081976941800e+08 -1.1226760005200645e+08 -1.1671896822929122e+08 -1.2184361624593578e+08 -1.2770474662491021e+08 -1.3435039039691046e+08 -1.4180241989096412e+08 -1.5003139685577944e+08 -1.5893331332605121e+08 -1.6832084472841933e+08 -1.7789268207384032e+08 -1.8725109814083657e+08 -1.9593096941022062e+08 -2.0346886743035132e+08 -2.0948184133546457e+08 -2.1373139625782934e+08 -2.1616614763676676e+08 -2.1690538189106545e+08 -2.1620653732756290e+08 -2.1439505991754952e+08 -2.1182040228239775e+08 -2.0880788673396763e+08 -2.0562946780634797e+08 -2.0250978778618291e+08 -1.9960325477880186e+08 -1.9701535498133206e+08 -1.9481250114673850e+08 -1.9300579509434229e+08 -1.9158544471040124e+08 -1.9051196452034536e+08 -1.8971772095348001e+08 -1.8913907987409300e+08 -1.8870219246605331e+08 -1.8834732564717698e+08 -1.8803414163997081e+08 -1.8781985336249632e+08 -1.8760564714448622e+08 -1.8738800910196739e+08 -1.8716039033400291e+08 -1.8692567392228183e+08 -1.8667962072322619e+08 -1.8641765083818841e+08 -1.8613509855756393e+08 -1.8583265883975455e+08 -1.8550475412794188e+08 -1.8514702869247556e+08 -1.8475419000222287e+08 -1.8432027543982354e+08 -1.8383928624079254e+08 -1.8329953150002438e+08 -1.8269858667553958e+08 -1.8202473889304808e+08 -1.8126819994886824e+08 -1.8041843678554589e+08 -1.7946458620933881e+08 -1.7839575270645967e+08 -1.7720235981542438e+08 -1.7587384702488837e+08 -1.7440411707826900e+08 -1.7279091253415692e+08 -1.7103796618284100e+08 -1.6915902938541067e+08 -1.6717750262770686e+08 -1.6513792923434073e+08 -1.6310886809752065e+08 -1.6118769609343344e+08 -1.5952654366435963e+08 -1.5833247400773954e+08 -1.5790549384803069e+08 -1.5867402615120572e+08 -1.6126892944431776e+08 -1.6664576333953089e+08 -1.7631876315821353e+08 -1.9281852057764217e+08 1.2391950128464694e+08 +8.5518506168722763e-01 -8.7354458142261833e+07 -8.7280257065381706e+07 -8.7156412082637846e+07 -8.6998139234173596e+07 -8.6846254114689901e+07 -8.6762054913066670e+07 -8.6772400912416890e+07 -8.6831342333501056e+07 -8.6892629463806242e+07 -8.6947387673163891e+07 -8.7001608959587783e+07 -8.7056448383278862e+07 -8.7111212137448490e+07 -8.7166020728604466e+07 -8.7221550158291817e+07 -8.7278252912872761e+07 -8.7336776396260247e+07 -8.7398228691483095e+07 -8.7463959124951243e+07 -8.7535479869149595e+07 -8.7614490330423683e+07 -8.7702759392966181e+07 -8.7801102773615405e+07 -8.7910391734737024e+07 -8.8041071235355884e+07 -8.8201619237111211e+07 -8.8391346062594488e+07 -8.8612403134668440e+07 -8.8869991159075454e+07 -8.9170600842204779e+07 -8.9521802436370999e+07 -8.9932373436956853e+07 -9.0412477711930156e+07 -9.0973872504085392e+07 -9.1630145226745218e+07 -9.2396963678520769e+07 -9.3292362104426503e+07 -9.4337043128080949e+07 -9.5554712216692910e+07 -9.6972402722114965e+07 -9.8753779805774510e+07 -1.0084483938787568e+08 -1.0329449990170519e+08 -1.0615753601005676e+08 -1.0949441740174571e+08 -1.1337055152912945e+08 -1.1785453364587544e+08 -1.2301478441676399e+08 -1.2891385465097994e+08 -1.3559857362903127e+08 -1.4308890710620412e+08 -1.5135258425996965e+08 -1.6028179493053031e+08 -1.6968478853495836e+08 -1.7925558083062547e+08 -1.8859252976058343e+08 -1.9722837242931801e+08 -2.0470020323282832e+08 -2.1062847833812541e+08 -2.1478035417583230e+08 -2.1711124439209464e+08 -2.1774695058039907e+08 -2.1695024365881786e+08 -2.1505010723312077e+08 -2.1239789614111793e+08 -2.0931945177589506e+08 -2.0608626218805975e+08 -2.0292204473213995e+08 -1.9997999178395292e+08 -1.9736432057622522e+08 -1.9514030439597511e+08 -1.9331789579738402e+08 -1.9188633377537912e+08 -1.9080520592077702e+08 -1.9000601070828167e+08 -1.8942437827404648e+08 -1.8898574711528295e+08 -1.8862984459724861e+08 -1.8831599788400370e+08 -1.8810133975204638e+08 -1.8788679434889099e+08 -1.8766882503117016e+08 -1.8744086496212611e+08 -1.8720579823588669e+08 -1.8695938648534313e+08 -1.8669700139530963e+08 -1.8641402772910580e+08 -1.8611113681552377e+08 -1.8578274273546913e+08 -1.8542448322993025e+08 -1.8503105783557162e+08 -1.8459649499717349e+08 -1.8411479512966135e+08 -1.8357420925826016e+08 -1.8297236586323562e+08 -1.8229751024153650e+08 -1.8153983951824620e+08 -1.8068880485044751e+08 -1.7973352676095891e+08 -1.7866309340724728e+08 -1.7746792184808415e+08 -1.7613739673375779e+08 -1.7466546621202922e+08 -1.7304984605780020e+08 -1.7129427465687522e+08 -1.6941252397232679e+08 -1.6742802955403998e+08 -1.6538540148038223e+08 -1.6335330862172392e+08 -1.6142923795534316e+08 -1.5976559800307631e+08 -1.5856974073493922e+08 -1.5814212947935268e+08 -1.5891181527516994e+08 -1.6151060537269318e+08 -1.6689549494877914e+08 -1.7658299882425973e+08 -1.9310745127751118e+08 1.2501732787029956e+08 +8.6015338446148570e-01 -8.8245766142836884e+07 -8.8171668307750627e+07 -8.8048021683437675e+07 -8.7890012671916872e+07 -8.7738392644343764e+07 -8.7654369156557471e+07 -8.7664757859039739e+07 -8.7723677923306152e+07 -8.7784951929407954e+07 -8.7839721280418396e+07 -8.7893973636570618e+07 -8.7948865404011741e+07 -8.8003707652655914e+07 -8.8058625971672177e+07 -8.8114300760927290e+07 -8.8171190314234972e+07 -8.8229948824874490e+07 -8.8291692154200718e+07 -8.8357778553975269e+07 -8.8429730828723073e+07 -8.8509260993090779e+07 -8.8598153202543452e+07 -8.8697245439685345e+07 -8.8807447674559802e+07 -8.8939240412333652e+07 -8.9101118534965381e+07 -8.9292419398594841e+07 -8.9515334150173381e+07 -8.9775110937869295e+07 -9.0078295634143919e+07 -9.0432522395547912e+07 -9.0846642448921457e+07 -9.1330904482136905e+07 -9.1897162966968015e+07 -9.2559116343245402e+07 -9.3332558437026232e+07 -9.4235665742242634e+07 -9.5289300084374562e+07 -9.6517343496186480e+07 -9.7947022464829639e+07 -9.9743317557458103e+07 -1.0185166958204406e+08 -1.0432127072818157e+08 -1.0720715399820541e+08 -1.1057000263598105e+08 -1.1447534754308006e+08 -1.1899174978873792e+08 -1.2418734134537342e+08 -1.3012399927784452e+08 -1.3684732468150312e+08 -1.4437534767214739e+08 -1.5267293711220410e+08 -1.6162846167916763e+08 -1.7104574550817522e+08 -1.8061415979382908e+08 -1.8992821413008031e+08 -1.9851860384824994e+08 -2.0592305710942802e+08 -2.1176553580680197e+08 -2.1581891068107849e+08 -2.1804541040920129e+08 -2.1857732609704208e+08 -2.1768270841781554e+08 -2.1569401536405036e+08 -2.1296444475798550e+08 -2.0982030911756176e+08 -2.0653259548918998e+08 -2.0332407419114116e+08 -2.0034670971571147e+08 -1.9770344457488799e+08 -1.9545841150219989e+08 -1.9362041535157198e+08 -1.9217772936429229e+08 -1.9108901820682392e+08 -1.9028491741928041e+08 -1.8970032627459529e+08 -1.8925997500336558e+08 -1.8890305509813386e+08 -1.8858856146574250e+08 -1.8837354418289459e+08 -1.8815867023837391e+08 -1.8794038043531874e+08 -1.8771209033886936e+08 -1.8747668491946703e+08 -1.8722992688345104e+08 -1.8696713930296129e+08 -1.8668375823563698e+08 -1.8638043109340468e+08 -1.8605156387103671e+08 -1.8569278799454030e+08 -1.8529879533058965e+08 -1.8486360568048322e+08 -1.8438121901876092e+08 -1.8383982846235323e+08 -1.8323711621586969e+08 -1.8256128607644027e+08 -1.8180252098199615e+08 -1.8095025682413340e+08 -1.7999359837962455e+08 -1.7892161801562363e+08 -1.7772472686466879e+08 -1.7639225486059877e+08 -1.7491819641651213e+08 -1.7330024039470270e+08 -1.7154213059261411e+08 -1.6965765889512852e+08 -1.6767029475988775e+08 -1.6562471281800893e+08 -1.6358968860348782e+08 -1.6166281401541573e+08 -1.5999676865115756e+08 -1.5879918279941845e+08 -1.5837096163891315e+08 -1.5914176296569631e+08 -1.6174431161165413e+08 -1.6713699113149470e+08 -1.7683852112266490e+08 -1.9338685288312125e+08 1.2611611631838562e+08 +8.6512170723574378e-01 -8.9139445467809379e+07 -8.9065451466359735e+07 -8.8942001231020689e+07 -8.8784254042319924e+07 -8.8632897125936225e+07 -8.8549046619716316e+07 -8.8559479218825310e+07 -8.8618378388751268e+07 -8.8679639665241912e+07 -8.8734420850124508e+07 -8.8788704709558457e+07 -8.8843649237117946e+07 -8.8898570342125610e+07 -8.8953598692401230e+07 -8.9009419074811563e+07 -8.9066495607908800e+07 -8.9125489271253958e+07 -8.9187523665175170e+07 -8.9253965993753344e+07 -8.9326349662461892e+07 -8.9406399298111856e+07 -8.9495914323662713e+07 -8.9595754938443914e+07 -8.9706869747717172e+07 -8.9839774829675928e+07 -9.0002982018064976e+07 -9.0195855630049855e+07 -9.0420626464649811e+07 -9.0682590040181354e+07 -9.0988347305312097e+07 -9.1345596213939607e+07 -9.1763261578375489e+07 -9.2251676722172752e+07 -9.2822793104739279e+07 -9.3490419877456963e+07 -9.4270476479345366e+07 -9.5181281105952054e+07 -9.6243854059078917e+07 -9.7482252971060187e+07 -9.8923896174865067e+07 -1.0073507523800741e+08 -1.0286067452125557e+08 -1.0535015599067500e+08 -1.0825880554258539e+08 -1.1164751255641276e+08 -1.1558192135349730e+08 -1.2013054544392322e+08 -1.2536121065497705e+08 -1.3133509829598725e+08 -1.3809655497172239e+08 -1.4566164640013862e+08 -1.5399235394264436e+08 -1.6297320700140795e+08 -1.7240360626053491e+08 -1.8196831021882927e+08 -1.9125804751419699e+08 -1.9980156956968597e+08 -2.0713734860549605e+08 -2.1289294950277585e+08 -2.1684701847684002e+08 -2.1896861431658751e+08 -2.1939649074501112e+08 -2.1840392476177278e+08 -2.1632678550222233e+08 -2.1352005490772265e+08 -2.1031046918929338e+08 -2.0696848039479199e+08 -2.0371589014944270e+08 -2.0070342324956763e+08 -1.9803274197479028e+08 -1.9576683757798660e+08 -1.9391336888075000e+08 -1.9245964656861278e+08 -1.9136341642565459e+08 -1.9055445609206542e+08 -1.8996693884503186e+08 -1.8952489106944814e+08 -1.8916697206373245e+08 -1.8885184727553892e+08 -1.8863648152868235e+08 -1.8842128966944394e+08 -1.8820269015333360e+08 -1.8797408128539741e+08 -1.8773834877565056e+08 -1.8749125670043698e+08 -1.8722807932403442e+08 -1.8694430481782329e+08 -1.8664055639013490e+08 -1.8631123222483250e+08 -1.8595195764839581e+08 -1.8555741711782113e+08 -1.8512162208575296e+08 -1.8463857246591759e+08 -1.8409640362830114e+08 -1.8349285220149449e+08 -1.8281608081255567e+08 -1.8205625869461748e+08 -1.8120280699404782e+08 -1.8024481527736241e+08 -1.7917134065853745e+08 -1.7797278889750388e+08 -1.7663843533315384e+08 -1.7516232150295338e+08 -1.7354210922862315e+08 -1.7178154753469655e+08 -1.6989444754950741e+08 -1.6790431148411676e+08 -1.6585587632418513e+08 -1.6381802095916739e+08 -1.6188843703846818e+08 -1.6022006824178100e+08 -1.5902081273996451e+08 -1.5859200283115077e+08 -1.5936388178813407e+08 -1.6197006093199089e+08 -1.6737026508429763e+08 -1.7708534401611766e+08 -1.9365674066538906e+08 1.2721582073672840e+08 +8.7009003001000185e-01 -9.0035453281344771e+07 -8.9961562439424694e+07 -8.9838306962104797e+07 -8.9680819641705140e+07 -8.9529723771278128e+07 -8.9446046430395097e+07 -8.9456521714648053e+07 -8.9515400811048225e+07 -8.9576649959598377e+07 -8.9631443640800789e+07 -8.9685759324483022e+07 -8.9740756989609972e+07 -8.9795757314303100e+07 -8.9850895992462531e+07 -8.9906862179761708e+07 -8.9964125849449605e+07 -9.0023354764064133e+07 -9.0085680217835978e+07 -9.0152478399452716e+07 -9.0225293280707195e+07 -9.0305862103238478e+07 -9.0395999550333023e+07 -9.0496587990263149e+07 -9.0608614587083429e+07 -9.0742631014306337e+07 -9.0907166085791484e+07 -9.1101611004760623e+07 -9.1328236147208661e+07 -9.1592384324617282e+07 -9.1900711466465637e+07 -9.2260979210246012e+07 -9.2682185799957335e+07 -9.3174749001611382e+07 -9.3750717009904757e+07 -9.4424009360194534e+07 -9.5210670674834356e+07 -9.6129160285976782e+07 -9.7200656225433215e+07 -9.8449390734214127e+07 -9.9902972673655748e+07 -1.0172900004965185e+08 -1.0387179947888507e+08 -1.0638109866674313e+08 -1.0931243089301915e+08 -1.1272688418135299e+08 -1.1669020617078736e+08 -1.2127084937296516e+08 -1.2653631598031875e+08 -1.3254706955999327e+08 -1.3934617605535427e+08 -1.4694770834149763e+08 -1.5531073365754756e+08 -1.6431592487196496e+08 -1.7375826214607999e+08 -1.8331792430792746e+08 -1.9258192731076148e+08 -2.0107717676426607e+08 -2.0834299859343785e+08 -2.1401065648722938e+08 -2.1786463146520728e+08 -2.1988082578965649e+08 -2.2020442770490807e+08 -2.1911388655951020e+08 -2.1694841940686163e+08 -2.1406473381806454e+08 -2.1078994278786126e+08 -2.0739392989478308e+08 -2.0409750685564187e+08 -2.0105014729603454e+08 -1.9835222798979142e+08 -1.9606559794058138e+08 -1.9419677170623785e+08 -1.9273210067248502e+08 -1.9162841581428200e+08 -1.9081464191991147e+08 -1.9022423114197046e+08 -1.8978051043961599e+08 -1.8942161059407881e+08 -1.8910587038869849e+08 -1.8889016684746370e+08 -1.8867466768365523e+08 -1.8845576920923659e+08 -1.8822685280716538e+08 -1.8799080479133818e+08 -1.8774339090282574e+08 -1.8747983640464008e+08 -1.8719568239895824e+08 -1.8689152760496387e+08 -1.8656176266999844e+08 -1.8620200703549579e+08 -1.8580693801028487e+08 -1.8537055899112651e+08 -1.8488687020984599e+08 -1.8434394945262694e+08 -1.8373958846839863e+08 -1.8306190904389572e+08 -1.8230106718955296e+08 -1.8144646982519755e+08 -1.8048719184249368e+08 -1.7941227563899723e+08 -1.7821212215344885e+08 -1.7687595225256619e+08 -1.7539785545453718e+08 -1.7377546641321766e+08 -1.7201253919624165e+08 -1.7012290349823299e+08 -1.6813009313033018e+08 -1.6607890523894840e+08 -1.6403831876568371e+08 -1.6210611994809595e+08 -1.6043550956528452e+08 -1.5923464325100634e+08 -1.5880526571621886e+08 -1.5957818446420768e+08 -1.6218786626363283e+08 -1.6759533016812685e+08 -1.7732348164131817e+08 -1.9391713008576435e+08 1.2831639550627179e+08 +8.7505835278425992e-01 -9.0933747593972042e+07 -9.0859958104167968e+07 -9.0736897149821267e+07 -9.0579666707578167e+07 -9.0428830587659463e+07 -9.0345325651837319e+07 -9.0355843037367672e+07 -9.0414702833596557e+07 -9.0475940086745754e+07 -9.0530746820412546e+07 -9.0585094566554278e+07 -9.0640145676822454e+07 -9.0695225576917395e+07 -9.0750474872383356e+07 -9.0806587059725270e+07 -9.0864037996754214e+07 -9.0923502230534613e+07 -9.0986118707081035e+07 -9.1053272626624212e+07 -9.1126518495548084e+07 -9.1207606167947650e+07 -9.1298365577985674e+07 -9.1399701216817021e+07 -9.1512638726737395e+07 -9.1647765394467339e+07 -9.1813627038779810e+07 -9.2009641671958655e+07 -9.2238119167941451e+07 -9.2504449551227644e+07 -9.2815343629992485e+07 -9.3178626604870707e+07 -9.3603369990261465e+07 -9.4100075792150110e+07 -9.4680888677296475e+07 -9.5359838224605784e+07 -9.6153093795550257e+07 -9.7079255276209459e+07 -9.8159657660695136e+07 -9.9418706784175307e+07 -1.0088420068917471e+08 -1.0272503910392545e+08 -1.0488498964147308e+08 -1.0741404165257487e+08 -1.1036797022551249e+08 -1.1380805446735749e+08 -1.1780013516044563e+08 -1.2241259031730713e+08 -1.2771258097301750e+08 -1.3375983099353570e+08 -1.4059609963242596e+08 -1.4823343879530066e+08 -1.5662797554549402e+08 -1.6565650981690639e+08 -1.7510960526454467e+08 -1.8466289521108794e+08 -1.9389975204718909e+08 -2.0234533386295581e+08 -2.0953992925978538e+08 -2.1511859510738811e+08 -2.1887170473149526e+08 -2.2078201553719831e+08 -2.2100112102086380e+08 -2.1981258838047031e+08 -2.1755891939679575e+08 -2.1459848916319048e+08 -2.1125874107199010e+08 -2.0780895728065473e+08 -2.0446893881896490e+08 -2.0138689699817544e+08 -1.9866191804821718e+08 -1.9635470811070961e+08 -1.9447063934555271e+08 -1.9299510715160549e+08 -1.9188403179874229e+08 -1.9106549028364706e+08 -1.9047221850813580e+08 -1.9002684842546862e+08 -1.8966698597409737e+08 -1.8935064606604353e+08 -1.8913461538290286e+08 -1.8891881950675970e+08 -1.8869963281142262e+08 -1.8847042009390467e+08 -1.8823406813664526e+08 -1.8798634464076495e+08 -1.8772242567475528e+08 -1.8743790608596063e+08 -1.8713335981981882e+08 -1.8680317026181275e+08 -1.8644295118245861e+08 -1.8604737300196391e+08 -1.8561043135554329e+08 -1.8512612717033142e+08 -1.8458248081180125e+08 -1.8397733984411553e+08 -1.8329878554331261e+08 -1.8253696117823818e+08 -1.8168125996048903e+08 -1.8072074264040393e+08 -1.7964443743497601e+08 -1.7844274101354536e+08 -1.7710481989282846e+08 -1.7562481242604059e+08 -1.7400032597222036e+08 -1.7223511945869684e+08 -1.7034304046981803e+08 -1.6834765326633507e+08 -1.6629381296469694e+08 -1.6425059526035351e+08 -1.6231587582650635e+08 -1.6064310556881747e+08 -1.5944068718252483e+08 -1.5901076310926884e+08 -1.5978468387144271e+08 -1.6239774069458163e+08 -1.6781219990788764e+08 -1.7755294830778131e+08 -1.9416803679480374e+08 1.2941779528048226e+08 +8.8002667555851799e-01 -9.1834283876794145e+07 -9.1760597542581409e+07 -9.1637727754635096e+07 -9.1480753559983999e+07 -9.1330174934493899e+07 -9.1246839291601568e+07 -9.1257400300638661e+07 -9.1316241253818631e+07 -9.1377467122417420e+07 -9.1432287254241601e+07 -9.1486667482069373e+07 -9.1541772236530006e+07 -9.1596932061067790e+07 -9.1652292233339578e+07 -9.1708550605722368e+07 -9.1766188912323892e+07 -9.1825888499672502e+07 -9.1888795931891754e+07 -9.1956305433577016e+07 -9.2029982022502854e+07 -9.2111588155716851e+07 -9.2202969005727053e+07 -9.2305051142909020e+07 -9.2418898604232162e+07 -9.2555134301999941e+07 -9.2722321081514776e+07 -9.2919903684646085e+07 -9.3150231401026547e+07 -9.3418741383653715e+07 -9.3732199211966470e+07 -9.4098493521876693e+07 -9.4526768929677278e+07 -9.5027611469268054e+07 -9.5613262005972549e+07 -9.6297859808891460e+07 -9.7097698519161388e+07 -9.8031517976243615e+07 -9.9120809349215031e+07 -1.0039015102756855e+08 -1.0186752885981387e+08 -1.0372313942509219e+08 -1.0590019011187181e+08 -1.0844892776625037e+08 -1.1142536364657450e+08 -1.1489096031257759e+08 -1.1891164144747335e+08 -1.2355569700346959e+08 -1.2888992930644219e+08 -1.3497330059585106e+08 -1.4184623755314094e+08 -1.4951874331320345e+08 -1.5794397928348237e+08 -1.6699485691837999e+08 -1.7645752846494979e+08 -1.8600311702679017e+08 -1.9521142137755826e+08 -2.0360595055005133e+08 -2.1072806409661272e+08 -2.1621670498320371e+08 -2.1986819453057581e+08 -2.2167215528701085e+08 -2.2178655558833319e+08 -2.2050002548370945e+08 -2.1815828834158924e+08 -2.1512132905711302e+08 -2.1171687555767393e+08 -2.0821357614216268e+08 -2.0483020080600908e+08 -2.0171368772973922e+08 -1.9896182779286143e+08 -1.9663418381153706e+08 -1.9473498751182339e+08 -1.9324868167322913e+08 -1.9213027999362448e+08 -1.9130701675105506e+08 -1.9071091647152537e+08 -1.9026392052314454e+08 -1.8990311367319804e+08 -1.8958618975173771e+08 -1.8936984256190595e+08 -1.8915376054818204e+08 -1.8893429635101065e+08 -1.8870479851825401e+08 -1.8846815416510984e+08 -1.8822013324683723e+08 -1.8795586244618815e+08 -1.8767099116746762e+08 -1.8736606829874086e+08 -1.8703547023725802e+08 -1.8667480529639533e+08 -1.8627873726830313e+08 -1.8584125431801561e+08 -1.8535635844672149e+08 -1.8481201276178190e+08 -1.8420612133551440e+08 -1.8352672526206920e+08 -1.8276395554982972e+08 -1.8190719221873903e+08 -1.8094548241137311e+08 -1.7986784069950289e+08 -1.7866466003214577e+08 -1.7732505270001349e+08 -1.7584320674276063e+08 -1.7421670209828025e+08 -1.7244930237059224e+08 -1.7055487235854155e+08 -1.6855700562358716e+08 -1.6650061306513414e+08 -1.6445486384001681e+08 -1.6251771791330653e+08 -1.6084286935588381e+08 -1.5963895753998062e+08 -1.5920850798012397e+08 -1.5998339304256076e+08 -1.6259969747113717e+08 -1.6802088799123538e+08 -1.7777375849795765e+08 -1.9440947663183981e+08 1.3051997498474838e+08 +8.8499499833277606e-01 -9.2737020518921971e+07 -9.2663434565149099e+07 -9.2540755243193001e+07 -9.2384034550967902e+07 -9.2233712122681618e+07 -9.2150546040428981e+07 -9.2161150001993999e+07 -9.2219972616233349e+07 -9.2281187788046673e+07 -9.2336021700547963e+07 -9.2390434946039408e+07 -9.2445593538201898e+07 -9.2500833626608893e+07 -9.2556304881520256e+07 -9.2612709614467323e+07 -9.2670535364673182e+07 -9.2730470305900961e+07 -9.2793668597490788e+07 -9.2861533484106213e+07 -9.2935640482650831e+07 -9.3017764635199666e+07 -9.3109766338651165e+07 -9.3212594199384242e+07 -9.3327350562705562e+07 -9.3464693974501163e+07 -9.3633204323836446e+07 -9.3832353001250252e+07 -9.4064528626376614e+07 -9.4335215391669214e+07 -9.4651233534538314e+07 -9.5020534991660938e+07 -9.5452337305153921e+07 -9.5957310315540671e+07 -9.6547790802166611e+07 -9.7238027358229667e+07 -9.8044437430743411e+07 -9.8985900194496021e+07 -1.0008406218473479e+08 -1.0136367328183833e+08 -1.0285290573609130e+08 -1.0472324795285822e+08 -1.0691734591257437e+08 -1.0948569975114523e+08 -1.1248455119592954e+08 -1.1597553856139283e+08 -1.2002465812043886e+08 -1.2470009814759892e+08 -1.3006828468130392e+08 -1.3618739644688097e+08 -1.4309650182419768e+08 -1.5080352770689419e+08 -1.5925864494353762e+08 -1.6833086182004195e+08 -1.7780192534814245e+08 -1.8733848480214691e+08 -1.9651683608007690e+08 -2.0485893775613248e+08 -2.1190732788973060e+08 -2.1730492699352100e+08 -2.2085405827173430e+08 -2.2255121777195126e+08 -2.2256071714148021e+08 -2.2117619380829275e+08 -2.1874652965373850e+08 -2.1563326204839578e+08 -2.1216435811315513e+08 -2.0860780036416364e+08 -2.0518130783887026e+08 -2.0203053509403780e+08 -1.9925197307792041e+08 -1.9690404096791962e+08 -1.9498983211296526e+08 -1.9349284009429976e+08 -1.9236717620111674e+08 -1.9153923707474124e+08 -1.9094034074544108e+08 -1.9049174241321105e+08 -1.9013000934445712e+08 -1.8981251707403180e+08 -1.8959586399446362e+08 -1.8937950640032533e+08 -1.8915977540247497e+08 -1.8893000363571453e+08 -1.8869307841232184e+08 -1.8844477223625410e+08 -1.8818016221314004e+08 -1.8789495311391303e+08 -1.8758966848681557e+08 -1.8725867801406932e+08 -1.8689758476560110e+08 -1.8650104616423658e+08 -1.8606304319827768e+08 -1.8557757931812939e+08 -1.8503256053745383e+08 -1.8442594812718776e+08 -1.8374574332882765e+08 -1.8298206536987084e+08 -1.8212428159496194e+08 -1.8116142607138583e+08 -1.8008250025938565e+08 -1.7887789393662399e+08 -1.7753666529184613e+08 -1.7605305289981067e+08 -1.7442460915264550e+08 -1.7265510214757338e+08 -1.7075841322377005e+08 -1.6875816409661460e+08 -1.6669931926539567e+08 -1.6465113806059998e+08 -1.6271165960570732e+08 -1.6103481418519485e+08 -1.5982946748300037e+08 -1.5939851345266539e+08 -1.6017432516531131e+08 -1.6279374999646723e+08 -1.6822140826873237e+08 -1.7798592686606950e+08 -1.9464146562456146e+08 1.3162288981577800e+08 +8.8996332110703413e-01 -9.3641913816756546e+07 -9.3568426859956831e+07 -9.3445937406569466e+07 -9.3289468584587097e+07 -9.3139400016455024e+07 -9.3056402311559945e+07 -9.3067049365056485e+07 -9.3125854253453687e+07 -9.3187058942551374e+07 -9.3241906954253808e+07 -9.3296353627739012e+07 -9.3351566384899408e+07 -9.3406887044582963e+07 -9.3462469535844132e+07 -9.3519020787938669e+07 -9.3577034030275702e+07 -9.3637204292647392e+07 -9.3700693317157313e+07 -9.3768913349649578e+07 -9.3843450404602990e+07 -9.3926092083187491e+07 -9.4018713990031675e+07 -9.4122286724607110e+07 -9.4237950853613734e+07 -9.4376400557385042e+07 -9.4546232783847883e+07 -9.4746945488697171e+07 -9.4980966532302082e+07 -9.5253827053217426e+07 -9.5572401828487501e+07 -9.5944705953371480e+07 -9.6380029712306291e+07 -9.6889126522170782e+07 -9.7484428781063884e+07 -9.8180294027687117e+07 -9.8993263025939077e+07 -9.9942353650157496e+07 -1.0104936697302184e+08 -1.0233922327770360e+08 -1.0384027978431158e+08 -1.0572531154528634e+08 -1.0793640198843420e+08 -1.1052430027924697e+08 -1.1354547285102683e+08 -1.1706172600790715e+08 -1.2113911823598298e+08 -1.2584572246024528e+08 -1.3124757083060254e+08 -1.3740203671340689e+08 -1.4434680461500531e+08 -1.5208769805361927e+08 -1.6057187299774307e+08 -1.6966442073201397e+08 -1.7914269027042741e+08 -1.8866889453328985e+08 -1.9781589805264267e+08 -2.0610420765109375e+08 -2.1307764670745185e+08 -2.1838320326462209e+08 -2.2182925450602043e+08 -2.2341917671641505e+08 -2.2332359224162033e+08 -2.2184108996316111e+08 -2.1932364728079277e+08 -2.1613429711322787e+08 -2.1260120095559940e+08 -2.0899164412224841e+08 -2.0552227519268900e+08 -2.0233745492131698e+08 -1.9953236996872282e+08 -1.9716429570469546e+08 -1.9523518925009027e+08 -1.9372759846204516e+08 -1.9259473640998834e+08 -1.9176216719383466e+08 -1.9116050722689623e+08 -1.9071032995970437e+08 -1.9034768882424772e+08 -1.9002964384326175e+08 -1.8981269547347713e+08 -1.8959607283783391e+08 -1.8937608572194362e+08 -1.8914605118312365e+08 -1.8890885659582555e+08 -1.8866027730495605e+08 -1.8839534065043849e+08 -1.8810980757658362e+08 -1.8780417600983554e+08 -1.8747280919037205e+08 -1.8711130515786421e+08 -1.8671431522499540e+08 -1.8627581349429440e+08 -1.8578980524176377e+08 -1.8524413955173767e+08 -1.8463683558145463e+08 -1.8395585504930389e+08 -1.8319130588041362e+08 -1.8233254325957218e+08 -1.8136858871053544e+08 -1.8028843111466748e+08 -1.7908245762630871e+08 -1.7773967245659009e+08 -1.7625436556245762e+08 -1.7462406166458425e+08 -1.7285253317136148e+08 -1.7095367728920680e+08 -1.6895114274249136e+08 -1.6688994545075652e+08 -1.6483943163682199e+08 -1.6289771445730454e+08 -1.6121895347069907e+08 -1.6001223032488185e+08 -1.5958079280404112e+08 -1.6035749358143726e+08 -1.6297991183080503e+08 -1.6841377475245279e+08 -1.7818946823755771e+08 -1.9486401998752955e+08 1.3272649524099320e+08 +8.9493164388129220e-01 -9.4548918964343771e+07 -9.4475532192606553e+07 -9.4353231061039627e+07 -9.4197012727884337e+07 -9.4047195156694070e+07 -9.3964364833757967e+07 -9.3975054611761972e+07 -9.4033842466929525e+07 -9.4095037367985591e+07 -9.4149899696643397e+07 -9.4204380121834606e+07 -9.4259647487395540e+07 -9.4315048978126675e+07 -9.4370742833232433e+07 -9.4427440733831301e+07 -9.4485641495457858e+07 -9.4546047014999554e+07 -9.4609826613967270e+07 -9.4678401512306839e+07 -9.4753368226412401e+07 -9.4836526885580361e+07 -9.4929768283087805e+07 -9.5034084967413321e+07 -9.5150655638215631e+07 -9.5290210106491104e+07 -9.5461362389662847e+07 -9.5663636923966199e+07 -9.5899500717330456e+07 -9.6174531756964803e+07 -9.6495659235183045e+07 -9.6870961256668627e+07 -9.7309800657907516e+07 -9.7823014191952333e+07 -9.8423129569861874e+07 -9.9124612884691507e+07 -9.9944127713225126e+07 -1.0090082997639261e+08 -1.0201667443486452e+08 -1.0331675066257748e+08 -1.0482959938913983e+08 -1.0672927698194200e+08 -1.0895730321052010e+08 -1.1156467195471723e+08 -1.1460806852995858e+08 -1.1814945940016316e+08 -1.2225495482325906e+08 -1.2699249865093224e+08 -1.3242771152471536e+08 -1.3861713965402877e+08 -1.4559705826308268e+08 -1.5337116070254067e+08 -1.6188356432455736e+08 -1.7099543043583950e+08 -1.8047971834692150e+08 -1.8999424316629767e+08 -1.9910851031061608e+08 -2.0734167363669303e+08 -2.1423894789157513e+08 -2.1945147715574098e+08 -2.2279374291114250e+08 -2.2427600682359630e+08 -2.2407516826445386e+08 -2.2249471121711937e+08 -2.1988964569756621e+08 -2.1662444365008447e+08 -2.1302741664592156e+08 -2.0936512188170692e+08 -2.0585311839335442e+08 -2.0263446326811028e+08 -1.9980303474007669e+08 -1.9741496434618613e+08 -1.9547107521736804e+08 -1.9395297301170945e+08 -1.9281297679532975e+08 -1.9197582323112753e+08 -1.9137143199689308e+08 -1.9091969920951322e+08 -1.9055616813128218e+08 -1.9023758605243364e+08 -1.9002035297353521e+08 -1.8980347581694219e+08 -1.8958324324737641e+08 -1.8935295707894796e+08 -1.8911550461389270e+08 -1.8886666433016765e+08 -1.8860141361364877e+08 -1.8831557038689965e+08 -1.8800960667344400e+08 -1.8767787954381958e+08 -1.8731598222044113e+08 -1.8691856016387877e+08 -1.8647958088285613e+08 -1.8599305185325655e+08 -1.8544676539483377e+08 -1.8483879923753488e+08 -1.8415707590517259e+08 -1.8339169249863219e+08 -1.8253199255767760e+08 -1.8156698559238198e+08 -1.8048564843844834e+08 -1.7927836617249161e+08 -1.7793408915323803e+08 -1.7644715956428385e+08 -1.7481507433053419e+08 -1.7304160998904273e+08 -1.7114067894220704e+08 -1.6913595578001818e+08 -1.6707250566667506e+08 -1.6501975844092816e+08 -1.6307589617777079e+08 -1.6139530078095385e+08 -1.6018725953245842e+08 -1.5975535946446601e+08 -1.6053291178637749e+08 -1.6315819669024184e+08 -1.6859800161626378e+08 -1.7838439760915652e+08 -1.9507715612230226e+08 1.3383074699792315e+08 +8.9989996665555028e-01 -9.5457995364769459e+07 -9.5384706363046780e+07 -9.5262591044959873e+07 -9.5106622783753663e+07 -9.4957054671129987e+07 -9.4874390181789294e+07 -9.4885122896097362e+07 -9.4943893668962240e+07 -9.5005079573568583e+07 -9.5059956524499908e+07 -9.5114471043855727e+07 -9.5169793431258798e+07 -9.5225275976252273e+07 -9.5281081329101235e+07 -9.5337925970182374e+07 -9.5396314259165540e+07 -9.5456954942519218e+07 -9.5521024922677740e+07 -9.5589954366767496e+07 -9.5665350298140764e+07 -9.5749025340408549e+07 -9.5842885453724593e+07 -9.5947945088752463e+07 -9.6065420990442827e+07 -9.6206078589951649e+07 -9.6378548982039019e+07 -9.6582382996863917e+07 -9.6820086692890257e+07 -9.7097284804199487e+07 -9.7420960808806002e+07 -9.7799255664453864e+07 -9.8241604562023625e+07 -9.8758927341322601e+07 -9.9363846709885314e+07 -1.0007093691107167e+08 -1.0089698381615646e+08 -1.0186128072249188e+08 -1.0298593520832372e+08 -1.0429620500276582e+08 -1.0582081285662614e+08 -1.0773509096690755e+08 -1.0997999437857224e+08 -1.1260675731704713e+08 -1.1567227809558260e+08 -1.1923867544374394e+08 -1.2337210088769768e+08 -1.2814035543294519e+08 -1.3360863057694535e+08 -1.3983262362559471e+08 -1.4684717528077522e+08 -1.5465382228100398e+08 -1.6319362021523491e+08 -1.7232378828936613e+08 -1.8181290545425388e+08 -1.9131442859622422e+08 -2.0039457698281130e+08 -2.0857125033911034e+08 -2.1539116004582790e+08 -2.2050969324746409e+08 -2.2374748427843773e+08 -2.2512168376178771e+08 -2.2481543338986960e+08 -2.2313705548931313e+08 -2.2044452989837179e+08 -2.1710371147408184e+08 -2.1344301808465528e+08 -2.0972824839229804e+08 -2.0617385321503124e+08 -2.0292157641442043e+08 -2.0006398387489042e+08 -1.9765606341471070e+08 -1.9569750650070566e+08 -1.9416898016662377e+08 -1.9302191371759996e+08 -1.9218022149352953e+08 -1.9157313131893152e+08 -1.9111986639187062e+08 -1.9075546346572465e+08 -1.9043635987555331e+08 -1.9021885265028608e+08 -1.9000173147519448e+08 -1.8978126409734088e+08 -1.8955073742196375e+08 -1.8931303854486209e+08 -1.8906394936888731e+08 -1.8879839713833478e+08 -1.8851225755573386e+08 -1.8820597646229103e+08 -1.8787390503111207e+08 -1.8751163187890446e+08 -1.8711379687312135e+08 -1.8667436121846712e+08 -1.8618733496522275e+08 -1.8564045383399278e+08 -1.8503185481077763e+08 -1.8434942155358237e+08 -1.8358324081690767e+08 -1.8272264500819555e+08 -1.8175663215421543e+08 -1.8067416757535708e+08 -1.7946563481663254e+08 -1.7811993051031849e+08 -1.7663144990716723e+08 -1.7499766201351207e+08 -1.7322234731321603e+08 -1.7131943273343796e+08 -1.6931261758923635e+08 -1.6724701411753958e+08 -1.6519213250261211e+08 -1.6324621863232228e+08 -1.6156386983802229e+08 -1.6035456872512832e+08 -1.5992222701621923e+08 -1.6070059342859688e+08 -1.6332861844666690e+08 -1.6877410319438905e+08 -1.7857073014672962e+08 -1.9528089061635026e+08 1.3493560109359440e+08 +9.0486828942980835e-01 -9.6369096896561578e+07 -9.6295906149012446e+07 -9.6173976659747913e+07 -9.6018253338304713e+07 -9.5868934023970723e+07 -9.5786435575102940e+07 -9.5797210720334843e+07 -9.5855964665865377e+07 -9.5917142042757690e+07 -9.5972034066055864e+07 -9.6026582988562360e+07 -9.6081960687021852e+07 -9.6137524486238226e+07 -9.6193441494775772e+07 -9.6250432931700870e+07 -9.6309008734381407e+07 -9.6369884460302457e+07 -9.6434244591871575e+07 -9.6503528222754300e+07 -9.6579352883512750e+07 -9.6663543659692541e+07 -9.6758021652180716e+07 -9.6863823164292336e+07 -9.6982202899069905e+07 -9.7123961890925452e+07 -9.7297748316271976e+07 -9.7503139311707959e+07 -9.7742679885215789e+07 -9.8022041411329940e+07 -9.8348261518932611e+07 -9.8729543855527431e+07 -9.9175395760573864e+07 -9.9696819902767435e+07 -1.0030653365877555e+08 -1.0101921900591579e+08 -1.0185178357666202e+08 -1.0282365735645714e+08 -1.0395709985167019e+08 -1.0527753578645003e+08 -1.0681386841663490e+08 -1.0874270013184893e+08 -1.1100442022475418e+08 -1.1365049884465420e+08 -1.1673804135913351e+08 -1.2032931080589545e+08 -1.2449048941571075e+08 -1.2928922152800995e+08 -1.3479025184803513e+08 -1.4104840708755469e+08 -1.4809706836030635e+08 -1.5593558970001781e+08 -1.6450194237803134e+08 -1.7364939223121235e+08 -1.8314214823328206e+08 -1.9262934966872826e+08 -2.0167400330829737e+08 -2.0979285360315761e+08 -2.1653421302549982e+08 -2.2155779732805696e+08 -2.2469044050015968e+08 -2.2595618415165690e+08 -2.2554437658903626e+08 -2.2376812133981732e+08 -2.2098830539002103e+08 -2.1757211081112340e+08 -2.1384801850836188e+08 -2.1008103868720609e+08 -2.0648449567812920e+08 -2.0319881086268201e+08 -2.0031523406302449e+08 -1.9788760962953013e+08 -1.9591449977696455e+08 -1.9437563653702456e+08 -1.9322156372146946e+08 -1.9237537847063997e+08 -1.9176562163850820e+08 -1.9131084791687903e+08 -1.9094559120893615e+08 -1.9062598166713405e+08 -1.9040821083985174e+08 -1.9019085612988567e+08 -1.8997016457015017e+08 -1.8973940849092689e+08 -1.8950147464710873e+08 -1.8925214865745074e+08 -1.8898630743873924e+08 -1.8869988527289036e+08 -1.8839330154000273e+08 -1.8806090178695461e+08 -1.8769827023699877e+08 -1.8730004142179170e+08 -1.8686017053266603e+08 -1.8637267056702664e+08 -1.8582522081230590e+08 -1.8521601819195452e+08 -1.8453290782711363e+08 -1.8376596660148492e+08 -1.8290451630368945e+08 -1.8193754400516811e+08 -1.8085400404173228e+08 -1.7964427897126007e+08 -1.7829721182498196e+08 -1.7680725176056886e+08 -1.7517183974281248e+08 -1.7339476002027166e+08 -1.7148995337581584e+08 -1.6948114271057647e+08 -1.6741348516652268e+08 -1.6535656800831574e+08 -1.6340869584100124e+08 -1.6172467451721323e+08 -1.6051417167445195e+08 -1.6008140919345665e+08 -1.6086055230899325e+08 -1.6349119112658721e+08 -1.6894209398138788e+08 -1.7874848118626970e+08 -1.9547524024239475e+08 1.3604101380391982e+08 +9.0983661220406642e-01 -9.7282181752092078e+07 -9.7209087037704274e+07 -9.7087341956286862e+07 -9.6931863655250832e+07 -9.6782790760884240e+07 -9.6700456652231246e+07 -9.6711274255752772e+07 -9.6770012271778539e+07 -9.6831181274597988e+07 -9.6886088871667430e+07 -9.6940672434530810e+07 -9.6996105651857257e+07 -9.7051750876641035e+07 -9.7107779713104963e+07 -9.7164917973250166e+07 -9.7223681250117332e+07 -9.7284791870522797e+07 -9.7349441886343449e+07 -9.7419079306783184e+07 -9.7495332162785724e+07 -9.7580037971456468e+07 -9.7675132945297793e+07 -9.7781675186551109e+07 -9.7900957269844100e+07 -9.8043815809077486e+07 -9.8218916064811796e+07 -9.8425861390147924e+07 -9.8667235637961432e+07 -9.8948756712330952e+07 -9.9277516253010318e+07 -9.9661780426168293e+07 -1.0011112850768931e+08 -1.0063664572739309e+08 -1.0125114379337309e+08 -1.0196941198789451e+08 -1.0280847915637980e+08 -1.0378791126809667e+08 -1.0493011884600382e+08 -1.0626069242632569e+08 -1.0780871422615227e+08 -1.0975205103872511e+08 -1.1203052541648069e+08 -1.1469583895797639e+08 -1.1780529808315420e+08 -1.2142130211944650e+08 -1.2561005337889266e+08 -1.3043902567085487e+08 -1.3597249925164065e+08 -1.4226440860855386e+08 -1.4934665038002691e+08 -1.5721637016050887e+08 -1.6580843294522306e+08 -1.7497214078541678e+08 -1.8446734409225169e+08 -1.9393890617842975e+08 -2.0294669563338548e+08 -2.1100640048334575e+08 -2.1766803792767191e+08 -2.2259573638227743e+08 -2.2562257455492607e+08 -2.2677948555394223e+08 -2.2626198761468202e+08 -2.2438790796039087e+08 -2.2152097818435875e+08 -2.1802965229247633e+08 -2.1424243148476964e+08 -2.1042350807839707e+08 -2.0678506204743534e+08 -2.0346618333609316e+08 -2.0055680219975284e+08 -1.9810961990612972e+08 -1.9612207191272283e+08 -1.9457295891942179e+08 -1.9341194353577051e+08 -1.9256131083484438e+08 -1.9194891958253646e+08 -1.9149266037595165e+08 -1.9112656792267802e+08 -1.9080646796184987e+08 -1.9058844405811211e+08 -1.9037086627808899e+08 -1.9014996114365959e+08 -1.8991898674335822e+08 -1.8968082935752293e+08 -1.8943127861089557e+08 -1.8916516090760767e+08 -1.8887846990639326e+08 -1.8857159824772587e+08 -1.8823888612355837e+08 -1.8787591357545516e+08 -1.8747731005615774e+08 -1.8703702503335303e+08 -1.8654907482395917e+08 -1.8600108244852602e+08 -1.8539130544678923e+08 -1.8470755073189533e+08 -1.8393988579205754e+08 -1.8307762230866921e+08 -1.8210973692615521e+08 -1.8102517352456263e+08 -1.7981431421793446e+08 -1.7846594856307662e+08 -1.7697458046090025e+08 -1.7533762271262577e+08 -1.7355886315011805e+08 -1.7165225574442226e+08 -1.6964154584509689e+08 -1.6757193333503529e+08 -1.6551307930052584e+08 -1.6356334197795105e+08 -1.6187772884694657e+08 -1.6066608230340505e+08 -1.6023291988127112e+08 -1.6101280238014850e+08 -1.6364592891114557e+08 -1.6910198863091782e+08 -1.7891766623199713e+08 -1.9566022195727718e+08 1.3714694167308378e+08 +9.1480493497832449e-01 -9.8197205669102237e+07 -9.8124206667536154e+07 -9.8002644186483592e+07 -9.7847408199141249e+07 -9.7698581823645517e+07 -9.7616409622396305e+07 -9.7627270329391196e+07 -9.7685992435713664e+07 -9.7747153697807506e+07 -9.7802077276827544e+07 -9.7856695724194825e+07 -9.7912184665402129e+07 -9.7967911454912454e+07 -9.8024052276742965e+07 -9.8081337371543601e+07 -9.8140288053594798e+07 -9.8201633392789349e+07 -9.8266572989266843e+07 -9.8336563764757439e+07 -9.8413244234893158e+07 -9.8498464322634697e+07 -9.8594175318589240e+07 -9.8701457067190528e+07 -9.8821639927598342e+07 -9.8965596063394561e+07 -9.9142007819211856e+07 -9.9350504673069760e+07 -9.9593709214389026e+07 -9.9877385760794640e+07 -1.0020867981770788e+08 -1.0059591989261100e+08 -1.0104875697783291e+08 -1.0157835858715819e+08 -1.0219763041192400e+08 -1.0292146859773730e+08 -1.0376702264053491e+08 -1.0475399377058987e+08 -1.0590494259762989e+08 -1.0724562426241924e+08 -1.0880529837203081e+08 -1.1076309018279938e+08 -1.1305825455959351e+08 -1.1574272002311498e+08 -1.1887398798616344e+08 -1.2251458598659252e+08 -1.2673072573810470e+08 -1.3158969661399356e+08 -1.3715529675947452e+08 -1.4348054687151182e+08 -1.5059583441043034e+08 -1.5849607115907714e+08 -1.6711299447780934e+08 -1.7629193306613049e+08 -1.8578839120882946e+08 -1.9524299886990047e+08 -2.0421256140708181e+08 -2.1221180923791134e+08 -2.1879256708074003e+08 -2.2362345857817844e+08 -2.2654385049570295e+08 -2.2759156645676115e+08 -2.2696825698893747e+08 -2.2499641516536924e+08 -2.2204255479052916e+08 -2.1847634694934136e+08 -2.1462627090956774e+08 -2.1075567215440577e+08 -2.0707556882913455e+08 -2.0372371077682298e+08 -2.0078870538516423e+08 -1.9832211135483506e+08 -1.9632023996398374e+08 -1.9476096429553372e+08 -1.9359307007231000e+08 -1.9273803543947494e+08 -1.9212304195840478e+08 -1.9166532053995478e+08 -1.9129841034792542e+08 -1.9097783547374734e+08 -1.9075956899993968e+08 -1.9054177859547302e+08 -1.9032067047410262e+08 -1.9008948881572795e+08 -1.8985111929139373e+08 -1.8960135582203031e+08 -1.8933497411552468e+08 -1.8904802800116938e+08 -1.8874088310356370e+08 -1.8840787453011474e+08 -1.8804457835155457e+08 -1.8764561919861186e+08 -1.8720494110416329e+08 -1.8671656407643566e+08 -1.8616805503599507e+08 -1.8555773281524351e+08 -1.8487336644764853e+08 -1.8410501450133786e+08 -1.8324197906057066e+08 -1.8227322686936238e+08 -1.8118769188092569e+08 -1.7997575630707252e+08 -1.7862615635780060e+08 -1.7713345151067990e+08 -1.7549502628205624e+08 -1.7371467190647531e+08 -1.7180635487533998e+08 -1.6979384185250145e+08 -1.6772237330144486e+08 -1.6566168087705046e+08 -1.6371017137107244e+08 -1.6202304700720990e+08 -1.6081031468608731e+08 -1.6037677311552909e+08 -1.6115735774608320e+08 -1.6379284613470960e+08 -1.6925380195605153e+08 -1.7907830095651653e+08 -1.9583585290211692e+08 1.3825334151292679e+08 +9.1977325775258256e-01 -9.9114123831452325e+07 -9.9041220872436851e+07 -9.8919840063785687e+07 -9.8764845561703175e+07 -9.8616261470526606e+07 -9.8534251582723767e+07 -9.8545154559025407e+07 -9.8603861576426595e+07 -9.8665015589849487e+07 -9.8719955483232021e+07 -9.8774609094833329e+07 -9.8830153991770729e+07 -9.8885962468299538e+07 -9.8942215391306058e+07 -9.8999647322963953e+07 -9.9058785312130183e+07 -9.9120365165924922e+07 -9.9185594004671648e+07 -9.9255937663770288e+07 -9.9333045120118588e+07 -9.9418778680954069e+07 -9.9515104678396642e+07 -9.9623124639146447e+07 -9.9744206618706539e+07 -9.9889258294305354e+07 -1.0006697909239680e+08 -1.0027702452302343e+08 -1.0052205579925914e+08 -1.0080788353210871e+08 -1.0114170694256882e+08 -1.0153191669411223e+08 -1.0198823526824889e+08 -1.0252191217721468e+08 -1.0314594673639554e+08 -1.0387534150067836e+08 -1.0472736603939863e+08 -1.0572185610433081e+08 -1.0688152144112363e+08 -1.0823228056483321e+08 -1.0980356887369348e+08 -1.1177576399627480e+08 -1.1408755220166333e+08 -1.1679108435489655e+08 -1.1994405074526849e+08 -1.2360909898293748e+08 -1.2785243944778492e+08 -1.3274116313203299e+08 -1.3833856840548557e+08 -1.4469674067865112e+08 -1.5184453371893701e+08 -1.5977460049409088e+08 -1.6841552997086120e+08 -1.7760866878201556e+08 -1.8710518853344470e+08 -1.9654152943745428e+08 -2.0547150917837304e+08 -2.1340899932144055e+08 -2.1990773403344104e+08 -2.2464091325496578e+08 -2.2745423343709776e+08 -2.2839240626301581e+08 -2.2766317599299121e+08 -2.2559364338269576e+08 -2.2255304220948994e+08 -2.1891220620789823e+08 -2.1499955100186837e+08 -2.1107754677783999e+08 -2.0735603276948032e+08 -2.0397141034434772e+08 -2.0101096092177692e+08 -1.9852510127960753e+08 -1.9650902117450655e+08 -1.9493966983172119e+08 -1.9376496042454109e+08 -1.9290556931896502e+08 -1.9228800575320113e+08 -1.9182884535938606e+08 -1.9146113540482646e+08 -1.9114010109533715e+08 -1.9092160253854463e+08 -1.9070360993601346e+08 -1.9048230939610907e+08 -1.9025093152128625e+08 -1.9001236124115974e+08 -1.8976239706105694e+08 -1.8949576380976427e+08 -1.8920857627943510e+08 -1.8890117280251727e+08 -1.8856788367183173e+08 -1.8820428119813526e+08 -1.8780498544645458e+08 -1.8736393530358920e+08 -1.8687515483943054e+08 -1.8632615504174334e+08 -1.8571531671051458e+08 -1.8503037132733506e+08 -1.8426136901375425e+08 -1.8339760276733574e+08 -1.8242802995728147e+08 -1.8134157513721296e+08 -1.8012862115758544e+08 -1.7877785100918254e+08 -1.7728388057816136e+08 -1.7564406597447050e+08 -1.7386220165465745e+08 -1.7195226596507415e+08 -1.6993804575136116e+08 -1.6786481990126616e+08 -1.6580238739057350e+08 -1.6384919850135285e+08 -1.6216064332956299e+08 -1.6094688304663011e+08 -1.6051298308140683e+08 -1.6129423266132084e+08 -1.6393195728527969e+08 -1.6939754892731050e+08 -1.7923040119943976e+08 -1.9600215040082228e+08 1.3936017040232703e+08 +9.2474158052684063e-01 -1.0003289349698564e+08 -9.9960085899488211e+07 -9.9838884760209247e+07 -9.9684130255819768e+07 -9.9535787135665491e+07 -9.9453937990974113e+07 -9.9464883627416089e+07 -9.9523575993048340e+07 -9.9584722979917213e+07 -9.9639679611043662e+07 -9.9694368706074074e+07 -9.9749969806215852e+07 -9.9805860091512188e+07 -9.9862225181328967e+07 -9.9919803941752464e+07 -9.9979129114723518e+07 -1.0004094324965467e+08 -1.0010646096007171e+08 -1.0017715699382733e+08 -1.0025469076212972e+08 -1.0034093693755731e+08 -1.0043787685404471e+08 -1.0054663365859605e+08 -1.0066861301316641e+08 -1.0081475806579973e+08 -1.0099378532115391e+08 -1.0120537622614977e+08 -1.0145223050165285e+08 -1.0174020492619953e+08 -1.0207655228136086e+08 -1.0246972519430690e+08 -1.0292951740160422e+08 -1.0346726011853157e+08 -1.0409604591500625e+08 -1.0483098328896989e+08 -1.0568946129111843e+08 -1.0669144943842047e+08 -1.0785980564165266e+08 -1.0922061053635837e+08 -1.1080347368607394e+08 -1.1279001885025933e+08 -1.1511836283490781e+08 -1.1784087422055852e+08 -1.2101542600055331e+08 -1.2470477766121019e+08 -1.2897512746008228e+08 -1.3389335402662408e+08 -1.3952223829229459e+08 -1.4591290895714438e+08 -1.5309266177682438e+08 -1.6105186627079907e+08 -1.6971594285947564e+08 -1.7892224824041635e+08 -1.8841763579108030e+08 -1.9783440052381906e+08 -2.0672344859220541e+08 -2.1459789137775138e+08 -2.2101347354617926e+08 -2.2564805091172197e+08 -2.2835368954201308e+08 -2.2918198527929464e+08 -2.2834673665723252e+08 -2.2617959364532989e+08 -2.2305244792549160e+08 -2.1933724188332039e+08 -2.1536228630077842e+08 -2.1138914808181047e+08 -2.0762647085227406e+08 -2.0420929941410249e+08 -2.0122358631387234e+08 -1.9871860717787305e+08 -1.9668843297528744e+08 -1.9510909287767980e+08 -1.9392763186820269e+08 -1.9306392968763894e+08 -1.9244382813374880e+08 -1.9198325196318278e+08 -1.9161476019115421e+08 -1.9129328189644894e+08 -1.9107456172455189e+08 -1.9085637733100811e+08 -1.9063489492085236e+08 -1.9040333185111251e+08 -1.9016457217619455e+08 -1.8991441927438125e+08 -1.8964754691389728e+08 -1.8936013163917068e+08 -1.8905248421490130e+08 -1.8871893038912493e+08 -1.8835503892342964e+08 -1.8795542557210129e+08 -1.8751402436425823e+08 -1.8702486380173102e+08 -1.8647539910670772e+08 -1.8586407371863586e+08 -1.8517858189544809e+08 -1.8440896578537464e+08 -1.8354450980768177e+08 -1.8257416248196781e+08 -1.8148683948829776e+08 -1.8027292485585448e+08 -1.7892104848411542e+08 -1.7742588349613893e+08 -1.7578475747625118e+08 -1.7400146792200619e+08 -1.7209000437060881e+08 -1.7007417271847856e+08 -1.6799928812593457e+08 -1.6593521364816564e+08 -1.6398043800193161e+08 -1.6229053229633674e+08 -1.6107580175889266e+08 -1.6064156411417949e+08 -1.6142344153037322e+08 -1.6406327700300080e+08 -1.6953324467332691e+08 -1.7937398296739542e+08 -1.9615913195950171e+08 1.4046738568657979e+08 +9.2970990330109871e-01 -1.0095347112726705e+08 -1.0088075752398269e+08 -1.0075973497997507e+08 -1.0060521780743273e+08 -1.0045711476851813e+08 -1.0037542604931006e+08 -1.0038641382924698e+08 -1.0044509192395298e+08 -1.0050623204333606e+08 -1.0056120574775541e+08 -1.0061593066554253e+08 -1.0067158819917303e+08 -1.0072756041617054e+08 -1.0078403769865654e+08 -1.0084176326138088e+08 -1.0090127547499931e+08 -1.0096332362692544e+08 -1.0102912980874789e+08 -1.0110017767068855e+08 -1.0117813703096873e+08 -1.0126489490906051e+08 -1.0136244760030168e+08 -1.0147193980777378e+08 -1.0159481470676897e+08 -1.0174205086779985e+08 -1.0192238186821811e+08 -1.0213551499509096e+08 -1.0238418835678899e+08 -1.0267430476931739e+08 -1.0301317041425589e+08 -1.0340929968402617e+08 -1.0387255732780458e+08 -1.0441435595976059e+08 -1.0504788102471894e+08 -1.0578834648434089e+08 -1.0665326026455882e+08 -1.0766272487393911e+08 -1.0883974539805794e+08 -1.1021056331541725e+08 -1.1180496070238630e+08 -1.1380580105861072e+08 -1.1615063089984880e+08 -1.1889203184266214e+08 -1.2208805335794331e+08 -1.2580155855516905e+08 -1.3009872272919381e+08 -1.3504619813081607e+08 -1.4070623059455949e+08 -1.4712897076502824e+08 -1.5434013226368576e+08 -1.6232777690713167e+08 -1.7101413702346486e+08 -1.8023257235122275e+08 -1.8972563348364732e+08 -1.9912151572111148e+08 -2.0796829038603604e+08 -2.1577840723249078e+08 -2.2210972158023641e+08 -2.2664482319480196e+08 -2.2924218600969830e+08 -2.2996028470343861e+08 -2.2901893174986476e+08 -2.2675426758325645e+08 -2.2354077990088186e+08 -2.1975146617612937e+08 -2.1571449166162044e+08 -2.1169049246764031e+08 -2.0788690029661521e+08 -2.0443739557563600e+08 -2.0142659926654923e+08 -1.9890264673811206e+08 -1.9685849298377880e+08 -1.9526925096627632e+08 -1.9408110185888559e+08 -1.9321313393902883e+08 -1.9259052644440874e+08 -1.9212855765761605e+08 -1.9175930198271331e+08 -1.9143739512452304e+08 -1.9121846378549621e+08 -1.9100009798829487e+08 -1.9077844423630306e+08 -1.9054670697193360e+08 -1.9030776924178112e+08 -1.9005743958455044e+08 -1.8979034052738410e+08 -1.8950271115316626e+08 -1.8919483438597608e+08 -1.8886103169731328e+08 -1.8849686850953442e+08 -1.8809695652175581e+08 -1.8765522519291246e+08 -1.8716570782519144e+08 -1.8661580404379442e+08 -1.8600402059719083e+08 -1.8531801484818634e+08 -1.8454782144271508e+08 -1.8368271673040959e+08 -1.8271164090445733e+08 -1.8162350129710338e+08 -1.8040868365477401e+08 -1.7905576491435793e+08 -1.7755947626193479e+08 -1.7591711663649338e+08 -1.7413248639686596e+08 -1.7221958560775301e+08 -1.7020223808799389e+08 -1.6812579312224755e+08 -1.6606017461023915e+08 -1.6410390465776402e+08 -1.6241272854027385e+08 -1.6119708534595552e+08 -1.6076253069709000e+08 -1.6154499890708333e+08 -1.6418682007990992e+08 -1.6966090447956058e+08 -1.7950906243289974e+08 -1.9630681526600263e+08 1.4157494497677583e+08 +9.3467822607535678e-01 -1.0187581230574700e+08 -1.0180319171021163e+08 -1.0168234686741456e+08 -1.0152806628042804e+08 -1.0138020134997179e+08 -1.0129867121141297e+08 -1.0130970105229039e+08 -1.0136836532184188e+08 -1.0142949905603528e+08 -1.0148448999577747e+08 -1.0153925100736280e+08 -1.0159496518332364e+08 -1.0165101945074120e+08 -1.0170760892869315e+08 -1.0176548123961478e+08 -1.0182518033234097e+08 -1.0188746220720562e+08 -1.0195355643200810e+08 -1.0202495553774486e+08 -1.0210333972461089e+08 -1.0219060833988042e+08 -1.0228877259927499e+08 -1.0239899869657755e+08 -1.0252276722339429e+08 -1.0267109211810580e+08 -1.0285272402442701e+08 -1.0306739597059788e+08 -1.0331788432859382e+08 -1.0361013781655027e+08 -1.0395151585107604e+08 -1.0435059438372524e+08 -1.0481730892674641e+08 -1.0536315318031375e+08 -1.0600140507339971e+08 -1.0674738354026501e+08 -1.0761871476128548e+08 -1.0863563344614652e+08 -1.0982129084477650e+08 -1.1120208797871968e+08 -1.1280797775727980e+08 -1.1482305688030587e+08 -1.1718430078773215e+08 -1.1994449940321459e+08 -1.2316187239348896e+08 -1.2689937818362951e+08 -1.3122315821568981e+08 -1.3619962431363434e+08 -1.4189046956531540e+08 -1.4834484529520226e+08 -1.5558685907380557e+08 -1.6360224113971350e+08 -1.7231001679266766e+08 -1.8153954263154271e+08 -1.9102908289238447e+08 -2.0040277956947839e+08 -2.0920594638564840e+08 -2.1695046988644075e+08 -2.2319641528749785e+08 -2.2763118288644177e+08 -2.3011969106364191e+08 -2.3072728661285928e+08 -2.2967975476673248e+08 -2.2731766741389802e+08 -2.2401804656847629e+08 -2.2015489166563094e+08 -2.1605618225226507e+08 -2.1198159660247084e+08 -2.0813733855606157e+08 -2.0465571663097757e+08 -2.0162001768387195e+08 -1.9907723783971065e+08 -1.9701921900270933e+08 -1.9542016181210172e+08 -1.9422538803233266e+08 -1.9335319964513966e+08 -1.9272811820760676e+08 -1.9226477992671314e+08 -1.9189477823135009e+08 -1.9157245820284531e+08 -1.9135332612522802e+08 -1.9113478929155499e+08 -1.9091297470573336e+08 -1.9068107422605971e+08 -1.9044196975845963e+08 -1.9019147528885719e+08 -1.8992416192399764e+08 -1.8963633206944022e+08 -1.8932824053536785e+08 -1.8899420478544518e+08 -1.8862978711221987e+08 -1.8822959541483527e+08 -1.8778755486824518e+08 -1.8729770394390383e+08 -1.8674738683813417e+08 -1.8613517427583125e+08 -1.8544868705212930e+08 -1.8467795278252476e+08 -1.8381224025315541e+08 -1.8284048185404289e+08 -1.8175157709383941e+08 -1.8053591397379181e+08 -1.7918201659700546e+08 -1.7768467503623253e+08 -1.7604115946624389e+08 -1.7425527292768866e+08 -1.7234102535084587e+08 -1.7032225735035476e+08 -1.6824435019218311e+08 -1.6617728539012793e+08 -1.6421961340507537e+08 -1.6252724684336111e+08 -1.6131074847920924e+08 -1.6087589746170580e+08 -1.6165891949437898e+08 -1.6430260145906636e+08 -1.6978054378732294e+08 -1.7963565593349472e+08 -1.9644521818865162e+08 1.4268280614917552e+08 +9.3964654884961485e-01 -1.0279987170916170e+08 -1.0272734544136550e+08 -1.0260667687399137e+08 -1.0245262953907953e+08 -1.0230500140534391e+08 -1.0222362875163424e+08 -1.0223470124683398e+08 -1.0229335214946933e+08 -1.0235448005391188e+08 -1.0240948842011575e+08 -1.0246428567872262e+08 -1.0252005669547202e+08 -1.0257619312747958e+08 -1.0263289479331367e+08 -1.0269091376462527e+08 -1.0275079955519858e+08 -1.0281331482979396e+08 -1.0287969664136994e+08 -1.0295144636765873e+08 -1.0303025457099482e+08 -1.0311803290451410e+08 -1.0321680746286306e+08 -1.0332776586478643e+08 -1.0345242601705793e+08 -1.0360183716505462e+08 -1.0378476701130062e+08 -1.0400097422414243e+08 -1.0425327331174856e+08 -1.0454765875417775e+08 -1.0489154303283082e+08 -1.0529356344541821e+08 -1.0576372601065415e+08 -1.0631360519235790e+08 -1.0695657100253414e+08 -1.0770804684480508e+08 -1.0858577651855755e+08 -1.0961012612728721e+08 -1.1080439205536349e+08 -1.1219513354388958e+08 -1.1381247262914774e+08 -1.1584173252291158e+08 -1.1821931684427817e+08 -1.2099821904574738e+08 -1.2423682265624742e+08 -1.2799817305396089e+08 -1.3234836689000602e+08 -1.3735356148456380e+08 -1.4307487953980353e+08 -1.4956045188201916e+08 -1.5683275632105336e+08 -1.6487516802881619e+08 -1.7360348695183095e+08 -1.8284306120940268e+08 -1.9232788608036941e+08 -2.0167809755669969e+08 -2.1043632950186473e+08 -2.1811400350815809e+08 -2.2427349300114796e+08 -2.2860708389294082e+08 -2.3098617393905476e+08 -2.3148297395323533e+08 -2.3032919992269379e+08 -2.2786979593498570e+08 -2.2448425682516971e+08 -2.2054753130638817e+08 -2.1638737354907683e+08 -2.1226247741537192e+08 -2.0837780331481186e+08 -2.0486428059385583e+08 -2.0180385966793135e+08 -1.9924239855184728e+08 -1.9717062901873836e+08 -1.9556184331070575e+08 -1.9436050820335576e+08 -1.9348414455568928e+08 -1.9285662112248465e+08 -1.9239193643030739e+08 -1.9202120656508419e+08 -1.9169848873049527e+08 -1.9147916632253355e+08 -1.9126046879969123e+08 -1.9103850386800170e+08 -1.9080645113074493e+08 -1.9056719122126597e+08 -1.9031654385868761e+08 -1.9004902855161068e+08 -1.8976101180941904e+08 -1.8945272005607116e+08 -1.8911846701563111e+08 -1.8875381206043902e+08 -1.8835335954307079e+08 -1.8791103064169303e+08 -1.8742086936344483e+08 -1.8687016464577845e+08 -1.8625755185426974e+08 -1.8557061554407999e+08 -1.8479937677017412e+08 -1.8393309726200083e+08 -1.8296070212751123e+08 -1.8187108357525888e+08 -1.8065463239735755e+08 -1.7929981999307913e+08 -1.7780149614239693e+08 -1.7615690213810903e+08 -1.7436984352310252e+08 -1.7245433943230119e+08 -1.7043424615280271e+08 -1.6835497479145044e+08 -1.6628656125358012e+08 -1.6432757933040312e+08 -1.6263410213658717e+08 -1.6141680597794688e+08 -1.6098167918691728e+08 -1.6176521814281049e+08 -1.6441063623431677e+08 -1.6989217819389975e+08 -1.7975377997161928e+08 -1.9657435877591980e+08 1.4379092734458315e+08 +9.4461487162387292e-01 -1.0372560801837294e+08 -1.0365317337097417e+08 -1.0353267959875947e+08 -1.0337886588793522e+08 -1.0323147205391951e+08 -1.0315025595843819e+08 -1.0316137048693565e+08 -1.0322000855413575e+08 -1.0328113089663248e+08 -1.0333615695973134e+08 -1.0339099057100967e+08 -1.0344681860160224e+08 -1.0350303730979823e+08 -1.0355985115043628e+08 -1.0361801666107590e+08 -1.0367808894346035e+08 -1.0374083726734887e+08 -1.0380750618044986e+08 -1.0387960586506794e+08 -1.0395883723061232e+08 -1.0404712420953204e+08 -1.0414650773518036e+08 -1.0425819678482386e+08 -1.0438374647416280e+08 -1.0453424128943942e+08 -1.0471846598287058e+08 -1.0493620475995393e+08 -1.0519031013404018e+08 -1.0548682220178363e+08 -1.0583320633400585e+08 -1.0623816095530662e+08 -1.0671176232619286e+08 -1.0726566534305939e+08 -1.0791333168954469e+08 -1.0867028872275144e+08 -1.0955439721154532e+08 -1.1058615382906584e+08 -1.1178899904435356e+08 -1.1318964897251506e+08 -1.1481839304355730e+08 -1.1686177414550205e+08 -1.1925562337240291e+08 -1.2205313288009332e+08 -1.2531284367257445e+08 -1.2909787966644743e+08 -1.3347428173737253e+08 -1.3850793859819272e+08 -1.4425938494104028e+08 -1.5077571000562787e+08 -1.5807773834467635e+08 -1.6614646696397373e+08 -1.7489445274606606e+08 -1.8414303082758632e+08 -1.9362194589361414e+08 -2.0294737611786118e+08 -2.1165935372628847e+08 -2.1926893342708468e+08 -2.2534089422572649e+08 -2.2957248123299354e+08 -2.3184160487098730e+08 -2.3222733052800852e+08 -2.3096726214015579e+08 -2.2841065651605135e+08 -2.2493942002705723e+08 -2.2092939842251807e+08 -2.1670808133409858e+08 -2.1253315209629199e+08 -2.0860831248732835e+08 -2.0506310568699798e+08 -2.0197814351761168e+08 -1.9939814713221887e+08 -1.9731274120268023e+08 -1.9569431353828543e+08 -1.9448648036460319e+08 -1.9360598659697995e+08 -1.9297605306403691e+08 -1.9251004500352207e+08 -1.9213860478683886e+08 -1.9181550448142293e+08 -1.9159600213109151e+08 -1.9137715424603456e+08 -1.9115504943521410e+08 -1.9092285537688988e+08 -1.9068345129880399e+08 -1.9043266293941364e+08 -1.9016495803154281e+08 -1.8987676796736306e+08 -1.8956829051387170e+08 -1.8923383592294034e+08 -1.8886896085489941e+08 -1.8846826637022048e+08 -1.8802566993570372e+08 -1.8753522146087387e+08 -1.8698415479315710e+08 -1.8637117060196394e+08 -1.8568381752991718e+08 -1.8491211054048154e+08 -1.8404530481085709e+08 -1.8307231868839392e+08 -1.8198203760388991e+08 -1.8076485567495954e+08 -1.7940919172728893e+08 -1.7790995606641144e+08 -1.7626436098513085e+08 -1.7447621435010853e+08 -1.7255954384179318e+08 -1.7053822029739019e+08 -1.6845768252944621e+08 -1.6638801761772698e+08 -1.6442781767022476e+08 -1.6273330949947944e+08 -1.6151527280841929e+08 -1.6107989079852057e+08 -1.6186390985077721e+08 -1.6451093964918560e+08 -1.6999582345104995e+08 -1.7986345121349522e+08 -1.9669425525552261e+08 1.4489926696771774e+08 +9.4958319439813099e-01 -1.0465297563152364e+08 -1.0458063132331859e+08 -1.0446031139903106e+08 -1.0430672882317215e+08 -1.0415956872566685e+08 -1.0407850826784164e+08 -1.0408966488917156e+08 -1.0414829013683720e+08 -1.0420940735385939e+08 -1.0426445141425991e+08 -1.0431932154369143e+08 -1.0437520671027002e+08 -1.0443150779317144e+08 -1.0448843379262552e+08 -1.0454674569327924e+08 -1.0460700423183040e+08 -1.0466998522854932e+08 -1.0473694072716966e+08 -1.0480938966861598e+08 -1.0488904329801205e+08 -1.0497783779593439e+08 -1.0507782889460953e+08 -1.0519024686348276e+08 -1.0531668391562939e+08 -1.0546825970683922e+08 -1.0565377602840886e+08 -1.0587304251754861e+08 -1.0612894955863811e+08 -1.0642758271473984e+08 -1.0677646006541035e+08 -1.0718434093609302e+08 -1.0766137155700622e+08 -1.0821928691732328e+08 -1.0887163995026653e+08 -1.0963406143831378e+08 -1.1052452845596087e+08 -1.1156366740522942e+08 -1.1277506177066872e+08 -1.1418558317243052e+08 -1.1582568667573747e+08 -1.1788312786105683e+08 -1.2029316463558494e+08 -1.2310918298450908e+08 -1.2638987494890253e+08 -1.3019843451751056e+08 -1.3460083576166287e+08 -1.3966268465874988e+08 -1.4544391028441143e+08 -1.5199053929762056e+08 -1.5932171971456313e+08 -1.6741604766951531e+08 -1.7618281988511056e+08 -1.8543935484748152e+08 -1.9491116596350914e+08 -2.0421052263436717e+08 -2.1287493412790880e+08 -2.2041518612576169e+08 -2.2639855962743783e+08 -2.3052733102763733e+08 -2.3268595508339128e+08 -2.3296034098570144e+08 -2.3159393704026771e+08 -2.2894025309048083e+08 -2.2538354598108914e+08 -2.2130050670360103e+08 -2.1701832169116685e+08 -2.1279363809224552e+08 -2.0882888421524698e+08 -2.0525221034166512e+08 -2.0214288772728619e+08 -1.9954450202579629e+08 -1.9744557390752670e+08 -1.9581759074972829e+08 -1.9460332268643749e+08 -1.9371874387201223e+08 -1.9308643208274013e+08 -1.9261912365645057e+08 -1.9224699087384033e+08 -1.9192352340336281e+08 -1.9170385147798246e+08 -1.9148486353730187e+08 -1.9126262929375911e+08 -1.9103030482852936e+08 -1.9079076783297876e+08 -1.9053985034867755e+08 -1.9027196815734005e+08 -1.8998361830992794e+08 -1.8967496964640847e+08 -1.8934032921324971e+08 -1.8897525116766292e+08 -1.8857433353071213e+08 -1.8813149034318551e+08 -1.8764077778264204e+08 -1.8708937477642676e+08 -1.8647604795758075e+08 -1.8578831038363174e+08 -1.8501617139509860e+08 -1.8414888012049890e+08 -1.8317534866647208e+08 -1.8208445620729718e+08 -1.8086660071983826e+08 -1.7951014858675030e+08 -1.7801007145479816e+08 -1.7636355250018013e+08 -1.7457440173422572e+08 -1.7265665472540626e+08 -1.7063419574108636e+08 -1.6855248916836426e+08 -1.6648167005077866e+08 -1.6452034380993384e+08 -1.6282488415890178e+08 -1.6160616408357939e+08 -1.6117054736814263e+08 -1.6195500976339951e+08 -1.6460352709684330e+08 -1.7009149546535641e+08 -1.7996468648856851e+08 -1.9680492603339499e+08 1.4600778368658283e+08 +9.5455151717238906e-01 -1.0558192943378952e+08 -1.0550967629349579e+08 -1.0538952890346865e+08 -1.0523617574543576e+08 -1.0508924647870344e+08 -1.0500834148758987e+08 -1.0501953985876335e+08 -1.0507815249185020e+08 -1.0513926519117387e+08 -1.0519432755170774e+08 -1.0524923440129924e+08 -1.0530517678185919e+08 -1.0536156030715910e+08 -1.0541859844542840e+08 -1.0547705656563284e+08 -1.0553750109260722e+08 -1.0560071436084284e+08 -1.0566795589557205e+08 -1.0574075335260412e+08 -1.0582082830386026e+08 -1.0591012914122215e+08 -1.0601072635614218e+08 -1.0612387144419059e+08 -1.0625119359920052e+08 -1.0640384756972820e+08 -1.0659065217425437e+08 -1.0681144237383510e+08 -1.0706914628654240e+08 -1.0736989478613274e+08 -1.0772125847587791e+08 -1.0813205734905195e+08 -1.0861250732612500e+08 -1.0917442313994534e+08 -1.0983144854112251e+08 -1.1059931719731370e+08 -1.1149612181050207e+08 -1.1254261765410343e+08 -1.1376253013961729e+08 -1.1518288500088382e+08 -1.1683430115339081e+08 -1.1890573974009661e+08 -1.2133188486128090e+08 -1.2416631140989436e+08 -1.2746785597613572e+08 -1.3129977410395446e+08 -1.3572796198939940e+08 -1.4081772872425607e+08 -1.4662838018244469e+08 -1.5320485954576081e+08 -1.6056461523671269e+08 -1.6868382020946902e+08 -1.7746849454848859e+08 -1.8673193725268248e+08 -1.9619545070883664e+08 -2.0546744543306518e+08 -2.1408298684846669e+08 -2.2155268923432380e+08 -2.2744643102406001e+08 -2.3147159048690113e+08 -2.3351919677641967e+08 -2.3368199081086946e+08 -2.3220922093338439e+08 -2.2945859014807174e+08 -2.2581664494062251e+08 -2.2166087019975156e+08 -2.1731811100236216e+08 -2.1304395310554886e+08 -2.0903953686626285e+08 -2.0543161319528618e+08 -2.0229811098543751e+08 -1.9968148186447230e+08 -1.9756914566777009e+08 -1.9593169337915328e+08 -1.9471105351553082e+08 -1.9382243465821123e+08 -1.9318777640360650e+08 -1.9271919057337028e+08 -1.9234638297703257e+08 -1.9202256361735722e+08 -1.9180273246387398e+08 -1.9158361475335121e+08 -1.9136126150215521e+08 -1.9112881752266926e+08 -1.9088915883776176e+08 -1.9063812407645199e+08 -1.9037007689452556e+08 -1.9008158077517295e+08 -1.8977277536271030e+08 -1.8943796476422366e+08 -1.8907270084152159e+08 -1.8867157882941213e+08 -1.8822850962725320e+08 -1.8773755604503331e+08 -1.8718584226066965e+08 -1.8657220152818665e+08 -1.8588411164740154e+08 -1.8511157680294034e+08 -1.8424384057801732e+08 -1.8326980935708353e+08 -1.8217835657736760e+08 -1.8095988460858420e+08 -1.7960270752113873e+08 -1.7810185911540291e+08 -1.7645449333529395e+08 -1.7466442215885228e+08 -1.7274568838520312e+08 -1.7072218859483206e+08 -1.6863941062260497e+08 -1.6656753427126706e+08 -1.6460517328378886e+08 -1.6290884148857397e+08 -1.6168949506215632e+08 -1.6125366411331740e+08 -1.6203853317185250e+08 -1.6468841411845413e+08 -1.7017921029616919e+08 -1.8005750278847769e+08 -1.9690638969337186e+08 1.4711643643183258e+08 +9.5951983994664714e-01 -1.0651242535795657e+08 -1.0644026311489837e+08 -1.0632028723825133e+08 -1.0616716187810357e+08 -1.0602046249014990e+08 -1.0593971103219384e+08 -1.0595095126129818e+08 -1.0600955170856108e+08 -1.0607066018425676e+08 -1.0612574109742360e+08 -1.0618068485239352e+08 -1.0623668452540821e+08 -1.0629315052052805e+08 -1.0635030076943913e+08 -1.0640890492235552e+08 -1.0646953513859908e+08 -1.0653298025177981e+08 -1.0660050723808379e+08 -1.0667365243010797e+08 -1.0675414771718577e+08 -1.0684395366145355e+08 -1.0694515547391570e+08 -1.0705902580950166e+08 -1.0718723072175279e+08 -1.0734095997003922e+08 -1.0752904938606963e+08 -1.0775135914527209e+08 -1.0801085495843300e+08 -1.0831371284959902e+08 -1.0866755575504322e+08 -1.0908126409680364e+08 -1.0956512319804466e+08 -1.1013102717798363e+08 -1.1079271016185480e+08 -1.1156600814996701e+08 -1.1246912877951895e+08 -1.1352295532129692e+08 -1.1475135400577828e+08 -1.1618150326710056e+08 -1.1784418405963831e+08 -1.1992955581341371e+08 -1.2237172824304435e+08 -1.2522446018247092e+08 -1.2854672623222518e+08 -1.3240183492677838e+08 -1.3685559347417301e+08 -1.4197299991124466e+08 -1.4781271934961540e+08 -1.5441859069975525e+08 -1.6180633995828164e+08 -1.6994969499286076e+08 -1.7875138339017484e+08 -1.8802068265276018e+08 -1.9747470533704653e+08 -2.0671805378564787e+08 -2.1528342909924975e+08 -2.2268137152149484e+08 -2.2848445137624311e+08 -2.3240521790075925e+08 -2.3434130311538962e+08 -2.3439226631205446e+08 -2.3281311080984366e+08 -2.2996567272676578e+08 -2.2623872759910178e+08 -2.2201050331737450e+08 -2.1760746594510028e+08 -2.1328411509067357e+08 -2.0924028903170526e+08 -2.0560133309052324e+08 -2.0244383217387646e+08 -1.9980910546542472e+08 -1.9768347519880980e+08 -1.9603664003780824e+08 -1.9480969137416148e+08 -1.9391707740833247e+08 -1.9328010442497790e+08 -1.9281026411125684e+08 -1.9243679942032248e+08 -1.9211264341681328e+08 -1.9189266336130765e+08 -1.9167342614579216e+08 -1.9145096429089144e+08 -1.9121841166730431e+08 -1.9097864249828649e+08 -1.9072750228364515e+08 -1.9045930237981811e+08 -1.9017067347222921e+08 -1.8986172574212724e+08 -1.8952676062282366e+08 -1.8916132788901094e+08 -1.8876002024044326e+08 -1.8831674571963418e+08 -1.8782557413264242e+08 -1.8727357507892343e+08 -1.8665964908839527e+08 -1.8597123903012419e+08 -1.8519834439946538e+08 -1.8433020373588687e+08 -1.8335571821937963e+08 -1.8226375606980261e+08 -1.8104472458029225e+08 -1.7968688564107397e+08 -1.7818533601589471e+08 -1.7653720030121055e+08 -1.7474629226373357e+08 -1.7282666127817106e+08 -1.7080221512291205e+08 -1.6871846295795739e+08 -1.6664562614712411e+08 -1.6468232177362171e+08 -1.6298519700900009e+08 -1.6176528114822730e+08 -1.6132925639588153e+08 -1.6211449551294252e+08 -1.6476561640342450e+08 -1.7025898415627161e+08 -1.8014191726692632e+08 -1.9699866499598661e+08 1.4822518439613804e+08 +9.6448816272090521e-01 -1.0744442078824095e+08 -1.0737234795638414e+08 -1.0725254186113232e+08 -1.0709964278765097e+08 -1.0695317142600961e+08 -1.0687257284848228e+08 -1.0688385487350550e+08 -1.0694244351827599e+08 -1.0700354798656867e+08 -1.0705864769872048e+08 -1.0711362851428708e+08 -1.0716968558934496e+08 -1.0722623404806638e+08 -1.0728349636105816e+08 -1.0734224634814551e+08 -1.0740306192509650e+08 -1.0746673843038522e+08 -1.0753455024722862e+08 -1.0760804235456243e+08 -1.0768895694749375e+08 -1.0777926671388654e+08 -1.0788107154313464e+08 -1.0799566518290754e+08 -1.0812475042096905e+08 -1.0827955194109489e+08 -1.0846892257149051e+08 -1.0869274759034373e+08 -1.0895403015710063e+08 -1.0925899128112490e+08 -1.0961530603541005e+08 -1.1003191502513245e+08 -1.1051917268133394e+08 -1.1108905214330807e+08 -1.1175537745764311e+08 -1.1253408639318998e+08 -1.1344350081539379e+08 -1.1450463110217372e+08 -1.1574148317587653e+08 -1.1718138673491167e+08 -1.1885528293599552e+08 -1.2095452207509403e+08 -1.2341263894510697e+08 -1.2628357130728617e+08 -1.2962642518672459e+08 -1.3350455349466078e+08 -1.3798366330008277e+08 -1.4312842739908764e+08 -1.4899685260730353e+08 -1.5563165287522164e+08 -1.6304680917307445e+08 -1.7121358277935398e+08 -1.8003139354312477e+08 -1.8930549628672767e+08 -1.9874883584617418e+08 -2.0796225790725163e+08 -2.1647617915648821e+08 -2.2380116288908350e+08 -2.2951256477655774e+08 -2.3332817262663472e+08 -2.3515224822012600e+08 -2.3509115461198714e+08 -2.3340560433037311e+08 -2.3046150640618122e+08 -2.2664980508352357e+08 -2.2234942081448480e+08 -2.1788640348846096e+08 -2.1351414225246558e+08 -2.0943115952497622e+08 -2.0576138907373202e+08 -2.0258007036610541e+08 -1.9992739183019248e+08 -1.9778858139540797e+08 -1.9613244951402041e+08 -1.9489925496009672e+08 -1.9400269074829108e+08 -1.9336343471857384e+08 -1.9289236279979908e+08 -1.9251825869904384e+08 -1.9219378126721182e+08 -1.9197366261452094e+08 -1.9175431613776153e+08 -1.9153175606162676e+08 -1.9129910564165202e+08 -1.9105923717083111e+08 -1.9080800330205762e+08 -1.9053966291934976e+08 -1.9025091467980576e+08 -1.8994183903370184e+08 -1.8960673500639641e+08 -1.8924115049156591e+08 -1.8883967590666479e+08 -1.8839621672074825e+08 -1.8790485009823415e+08 -1.8735259123144928e+08 -1.8673840857963750e+08 -1.8604971040704405e+08 -1.8527649198523343e+08 -1.8440798731133151e+08 -1.8343309287700105e+08 -1.8234067220305532e+08 -1.8112113803588217e+08 -1.7976270021764469e+08 -1.7826051928322715e+08 -1.7661169036632472e+08 -1.7482002884519511e+08 -1.7289959001593870e+08 -1.7087429174239060e+08 -1.6878966239079738e+08 -1.6671596169544968e+08 -1.6475180510844496e+08 -1.6305396638588858e+08 -1.6183353789020681e+08 -1.6139733972234780e+08 -1.6218291236852103e+08 -1.6483514978837422e+08 -1.7033083341027874e+08 -1.8021794723797503e+08 -1.9708177087779415e+08 1.4933398703354955e+08 +9.6945648549516328e-01 -1.0837786947736940e+08 -1.0830588521230029e+08 -1.0818624795018014e+08 -1.0803357398344211e+08 -1.0788732970927408e+08 -1.0780688261926065e+08 -1.0781820633490869e+08 -1.0787678362289917e+08 -1.0793788427309904e+08 -1.0799300293830733e+08 -1.0804802096269138e+08 -1.0810413555620004e+08 -1.0816076645605518e+08 -1.0821814075512604e+08 -1.0827703636961401e+08 -1.0833803695206146e+08 -1.0840194436820351e+08 -1.0847004035820349e+08 -1.0854387852225314e+08 -1.0862521134687337e+08 -1.0871602359860365e+08 -1.0881842980255689e+08 -1.0893374473171383e+08 -1.0906370777827366e+08 -1.0921957845984849e+08 -1.0941022658194722e+08 -1.0963556241154474e+08 -1.0989862641000164e+08 -1.1020568440154651e+08 -1.1056446339450954e+08 -1.1098396392567696e+08 -1.1147460923099922e+08 -1.1204845109493662e+08 -1.1271940302192315e+08 -1.1350350397282963e+08 -1.1441918932101680e+08 -1.1548759564433248e+08 -1.1673286741098493e+08 -1.1818248412553938e+08 -1.1986754528484896e+08 -1.2198058448511967e+08 -1.2445456110411049e+08 -1.2734358677194181e+08 -1.3070689230348802e+08 -1.3460786632807913e+08 -1.3911210458685806e+08 -1.4428394043449095e+08 -1.5018070488819963e+08 -1.5684396635993004e+08 -1.6428593842622888e+08 -1.7247539468367222e+08 -1.8130843262395573e+08 -1.9058628402615702e+08 -2.0001774902626443e+08 -2.0919996895619828e+08 -2.1766115635775942e+08 -2.2491199436408156e+08 -2.3053071644191715e+08 -2.3424041507976878e+08 -2.3595200715318739e+08 -2.3577864363660786e+08 -2.3398669981763065e+08 -2.3094609729942659e+08 -2.2704988895003968e+08 -2.2267763779634610e+08 -2.1815494089001384e+08 -2.1373405304335988e+08 -2.0961216737972951e+08 -2.0591180039352643e+08 -2.0270684482617199e+08 -2.0003636014361444e+08 -1.9788448333157471e+08 -1.9621914077168235e+08 -1.9497976314432943e+08 -1.9407929347703576e+08 -1.9343778602774876e+08 -1.9296550533996281e+08 -1.9259077948028880e+08 -1.9226599580465302e+08 -1.9204574883827868e+08 -1.9182630332278472e+08 -1.9160365538638130e+08 -1.9137091799519846e+08 -1.9113096138139629e+08 -1.9087964563239446e+08 -1.9061117698970112e+08 -1.9032232284593475e+08 -1.9001313365527812e+08 -1.8967790629960060e+08 -1.8931218699900770e+08 -1.8891056413910908e+08 -1.8846694089815524e+08 -1.8797540216142422e+08 -1.8742290888554177e+08 -1.8680849810900849e+08 -1.8611954381848520e+08 -1.8534603752601010e+08 -1.8447720918557119e+08 -1.8350195111642742e+08 -1.8240912265766361e+08 -1.8118914253729466e+08 -1.7983016868207937e+08 -1.7832742620255172e+08 -1.7667798065586972e+08 -1.7488564885473987e+08 -1.7296449136400676e+08 -1.7093843502189791e+08 -1.6885302528806308e+08 -1.6677855708125806e+08 -1.6481363926382732e+08 -1.6311516543006405e+08 -1.6189428098077810e+08 -1.6145792974244243e+08 -1.6224379946434334e+08 -1.6489703025656807e+08 -1.7039477457449144e+08 -1.8028561017684701e+08 -1.9715572645045081e+08 1.5044280405885869e+08 +9.7442480826942135e-01 -1.0931272838973680e+08 -1.0924083155512936e+08 -1.0912136240373003e+08 -1.0896891132420309e+08 -1.0882289195871235e+08 -1.0874259606861487e+08 -1.0875396122985157e+08 -1.0881252751949665e+08 -1.0887362463721311e+08 -1.0892876235130060e+08 -1.0898381775817421e+08 -1.0903998994583683e+08 -1.0909670326426333e+08 -1.0915418942828964e+08 -1.0921323045717785e+08 -1.0927441566593093e+08 -1.0933855348064126e+08 -1.0940693295108651e+08 -1.0948111627519549e+08 -1.0956286621223998e+08 -1.0965417956131038e+08 -1.0975718543655431e+08 -1.0987321956861842e+08 -1.1000405782063417e+08 -1.1016099444932407e+08 -1.1035291621520843e+08 -1.1057975825814278e+08 -1.1084459819122024e+08 -1.1115374647870235e+08 -1.1151498185778132e+08 -1.1193736453807637e+08 -1.1243138625061905e+08 -1.1300917704121417e+08 -1.1368473939851964e+08 -1.1447421288661209e+08 -1.1539614565252186e+08 -1.1647179955056570e+08 -1.1772545642957780e+08 -1.1918474412055854e+08 -1.2088091857281145e+08 -1.2300768897305897e+08 -1.2549743883307563e+08 -1.2840444854913062e+08 -1.3178806704462403e+08 -1.3571170996276608e+08 -1.4024085049289384e+08 -1.4543946833565715e+08 -1.5136420124134457e+08 -1.5805545161786214e+08 -1.6552364352019861e+08 -1.7373504218077564e+08 -1.8258240873734355e+08 -1.9186295237899727e+08 -2.0128135246091938e+08 -2.1043109903167158e+08 -2.1883828109737176e+08 -2.2601379809174430e+08 -2.3153885270278195e+08 -2.3514190672155297e+08 -2.3674055590889284e+08 -2.3645472210575217e+08 -2.3455639624679679e+08 -2.3141945204621902e+08 -2.2743899117681259e+08 -2.2299516971180966e+08 -2.1841309569281453e+08 -2.1394386616059950e+08 -2.0978333184774828e+08 -2.0605258649882710e+08 -2.0282417500795040e+08 -2.0013602977289620e+08 -1.9797120025886175e+08 -1.9629673294999585e+08 -1.9505123497167370e+08 -1.9414690456552976e+08 -1.9350317726745477e+08 -1.9302971060387549e+08 -1.9265438060112303e+08 -1.9232930583527383e+08 -1.9210894081734639e+08 -1.9188940646411303e+08 -1.9166668100636235e+08 -1.9143386744621876e+08 -1.9119383382479170e+08 -1.9094244794502380e+08 -1.9067386323522606e+08 -1.9038491658682004e+08 -1.9007562819300368e+08 -1.8974029305634454e+08 -1.8937445592871282e+08 -1.8897270341547835e+08 -1.8852893668644521e+08 -1.8803724870798281e+08 -1.8748454637391579e+08 -1.8686993594946983e+08 -1.8618075746961141e+08 -1.8540699915075448e+08 -1.8453788740302518e+08 -1.8356231088701463e+08 -1.8246912527547541e+08 -1.8124875580668578e+08 -1.7988930862458196e+08 -1.7838607421703953e+08 -1.7673608845169050e+08 -1.7494316939878103e+08 -1.7302138224037200e+08 -1.7099466168154955e+08 -1.6890856816562256e+08 -1.6683342861745480e+08 -1.6486784036116153e+08 -1.6316881009675586e+08 -1.6194752625527477e+08 -1.6151104224862918e+08 -1.6229717266988108e+08 -1.6495127393695205e+08 -1.7045082431570601e+08 -1.8034492371747211e+08 -1.9722055100050402e+08 1.5155159544695669e+08 +9.7939313104367942e-01 -1.1024895134318654e+08 -1.1017714265803321e+08 -1.1005784013476609e+08 -1.0990560978874563e+08 -1.0975981417714095e+08 -1.0967966878380390e+08 -1.0969107503262578e+08 -1.0974963059543225e+08 -1.0981072456191516e+08 -1.0986588143359376e+08 -1.0992097442340650e+08 -1.0997720422528045e+08 -1.1003399994386683e+08 -1.1009159780613551e+08 -1.1015078402692665e+08 -1.1021215346131945e+08 -1.1027652112924483e+08 -1.1034518335325930e+08 -1.1041971090282419e+08 -1.1050187678794952e+08 -1.1059368979540275e+08 -1.1069729357757704e+08 -1.1081404475441779e+08 -1.1094575552287966e+08 -1.1110375478066042e+08 -1.1129694621722974e+08 -1.1152528972763664e+08 -1.1179189992376480e+08 -1.1210313173001091e+08 -1.1246681540005638e+08 -1.1289207055234221e+08 -1.1338945709478709e+08 -1.1397118294251411e+08 -1.1465133908387202e+08 -1.1544616508617780e+08 -1.1637432112137173e+08 -1.1745719338075073e+08 -1.1871919991008122e+08 -1.2018811536419512e+08 -1.2189535023286647e+08 -1.2403578144034012e+08 -1.2654121622422314e+08 -1.2946609860030912e+08 -1.3286988887383239e+08 -1.3681602095369798e+08 -1.4136983422009531e+08 -1.4659494049701461e+08 -1.5254726683664244e+08 -1.5926602929468071e+08 -1.6675984051894444e+08 -1.7499243711106107e+08 -1.8385323048023030e+08 -1.9313540849239489e+08 -2.0253955452860844e+08 -2.1165556117398617e+08 -2.2000747482277468e+08 -2.2710650732918245e+08 -2.3253692099427593e+08 -2.3603261004918090e+08 -2.3751787140287822e+08 -2.3711937952220169e+08 -2.3511469323789418e+08 -2.3188157780599368e+08 -2.2781712415961337e+08 -2.2330203234861535e+08 -2.1866088572209287e+08 -2.1414360054491895e+08 -2.0994467239732349e+08 -2.0618376703835773e+08 -2.0293208055318618e+08 -2.0022642026669884e+08 -1.9804875160557330e+08 -1.9636524536188427e+08 -1.9511368965880400e+08 -1.9420554315581939e+08 -1.9355962752278703e+08 -1.9308499763318500e+08 -1.9270908106869203e+08 -1.9238373033436674e+08 -1.9216325750566852e+08 -1.9194364449405393e+08 -1.9172085183181971e+08 -1.9148797288209412e+08 -1.9124787336438379e+08 -1.9099642907780546e+08 -1.9072774046854186e+08 -1.9043871468659383e+08 -1.9012934140022057e+08 -1.8979391399625701e+08 -1.8942797596473393e+08 -1.8902611238024166e+08 -1.8858222268588760e+08 -1.8809040828969795e+08 -1.8753752219444847e+08 -1.8692274053792048e+08 -1.8623336972983572e+08 -1.8545939515274441e+08 -1.8459004017059389e+08 -1.8361419029885596e+08 -1.8252069805924651e+08 -1.8129999572587579e+08 -1.7994013779377931e+08 -1.7843648092697915e+08 -1.7678603119126099e+08 -1.7499260773752934e+08 -1.7307027971592841e+08 -1.7104298859200564e+08 -1.6895630768811899e+08 -1.6688059276351711e+08 -1.6491442466707349e+08 -1.6321491648483369e+08 -1.6199328969206414e+08 -1.6155669317593476e+08 -1.6234304799743980e+08 -1.6499789710352901e+08 -1.7049899945092708e+08 -1.8039590565289107e+08 -1.9727626398735404e+08 1.5266032143219230e+08 +9.8436145381793749e-01 -1.1118649509566000e+08 -1.1111477343282352e+08 -1.1099563614698417e+08 -1.1084362622327730e+08 -1.1069805219687746e+08 -1.1061805531604530e+08 -1.1062950308843599e+08 -1.1068804820767753e+08 -1.1074913945909546e+08 -1.1080431566577734e+08 -1.1085944641205220e+08 -1.1091573381947687e+08 -1.1097261191358052e+08 -1.1103032126997453e+08 -1.1108965244171740e+08 -1.1115120568207638e+08 -1.1121580262377046e+08 -1.1128474684163840e+08 -1.1135961764473292e+08 -1.1144219826787877e+08 -1.1153450944415472e+08 -1.1163870930793795e+08 -1.1175617529989609e+08 -1.1188875581001918e+08 -1.1204781427557077e+08 -1.1224227128479338e+08 -1.1247211136875416e+08 -1.1274048598195954e+08 -1.1305379432437681e+08 -1.1341991794854973e+08 -1.1384803561118546e+08 -1.1434877507169847e+08 -1.1493442171317121e+08 -1.1561915452987732e+08 -1.1641931247987220e+08 -1.1735366699738674e+08 -1.1844372765531525e+08 -1.1971404749316528e+08 -1.2119254646647502e+08 -1.2291078766769069e+08 -1.2506480776341119e+08 -1.2758583735226974e+08 -1.3052847887926517e+08 -1.3395229726015560e+08 -1.3792073587888551e+08 -1.4249898901718581e+08 -1.4775028639329275e+08 -1.5372982696926796e+08 -1.6047562022224998e+08 -1.6799444575341383e+08 -1.7624749168498114e+08 -1.8512080694657648e+08 -1.9440356015558279e+08 -2.0379226440364340e+08 -2.1287326936194304e+08 -2.2116866003011441e+08 -2.2819005643769273e+08 -2.3352486984715652e+08 -2.3691248858534947e+08 -2.3828393146166435e+08 -2.3777260616205248e+08 -2.3566159104622573e+08 -2.3233248225042424e+08 -2.2818430070613360e+08 -2.2359824182902992e+08 -2.1889832908228800e+08 -2.1433327537694672e+08 -2.1009620871157807e+08 -2.0630536185830313e+08 -2.0303058129079807e+08 -2.0030755135369581e+08 -1.9811715697616339e+08 -1.9642469749380565e+08 -1.9516714659428281e+08 -1.9425522856044152e+08 -1.9360715604883304e+08 -1.9313138563900775e+08 -1.9275490005839661e+08 -1.9242928844644782e+08 -1.9220871802534074e+08 -1.9198903651264411e+08 -1.9176618694085720e+08 -1.9153325335744175e+08 -1.9129309903108492e+08 -1.9104160803619415e+08 -1.9077282766930011e+08 -1.9048373609588048e+08 -1.9017429219665897e+08 -1.8983878800582510e+08 -1.8947276595683965e+08 -1.8907080984300902e+08 -1.8862681766210032e+08 -1.8813489962250257e+08 -1.8758185500951010e+08 -1.8696693047555292e+08 -1.8627739913105893e+08 -1.8550324398664030e+08 -1.8463368585657486e+08 -1.8365760762345511e+08 -1.8256385917133224e+08 -1.8134288033536962e+08 -1.7998267409550965e+08 -1.7847866408863303e+08 -1.7682782646635619e+08 -1.7503398128472817e+08 -1.7311120101269704e+08 -1.7108343277380726e+08 -1.6899626066852266e+08 -1.6692006612520936e+08 -1.6495340859228417e+08 -1.6325350083589619e+08 -1.6203158741154730e+08 -1.6159489860047856e+08 -1.6238144160137475e+08 -1.6503691617542821e+08 -1.7053931694651797e+08 -1.8043857393392670e+08 -1.9732288504385212e+08 1.5376894250772688e+08 +9.8932977659219556e-01 -1.1212531388293722e+08 -1.1205367803212230e+08 -1.1193470609214443e+08 -1.1178291480407031e+08 -1.1163756078106093e+08 -1.1155771239338623e+08 -1.1156920087412016e+08 -1.1162773589851156e+08 -1.1168882476071018e+08 -1.1174402048137212e+08 -1.1179918909873618e+08 -1.1185553411335011e+08 -1.1191249453616342e+08 -1.1197031516156845e+08 -1.1202979101283406e+08 -1.1209152762246741e+08 -1.1215635322524805e+08 -1.1222557864549963e+08 -1.1230079169280058e+08 -1.1238378579789381e+08 -1.1247659360301749e+08 -1.1258138766264382e+08 -1.1269956616823177e+08 -1.1283301355937622e+08 -1.1299312770829864e+08 -1.1318884606760120e+08 -1.1342017768331189e+08 -1.1369031069350699e+08 -1.1400568838464707e+08 -1.1437424338476852e+08 -1.1480521331240828e+08 -1.1530929344502427e+08 -1.1589884622444318e+08 -1.1658813814612499e+08 -1.1739360693490800e+08 -1.1833413451094407e+08 -1.1943135285696566e+08 -1.2070994878482583e+08 -1.2219798600566576e+08 -1.2392717825238970e+08 -1.2609471379680786e+08 -1.2863124627700235e+08 -1.3159153133515038e+08 -1.3503523168103960e+08 -1.3902579134289879e+08 -1.4362824818422583e+08 -1.4890543558363128e+08 -1.5491180706486031e+08 -1.6168414542369387e+08 -1.6922737582618636e+08 -1.7750011848779520e+08 -1.8638504773079216e+08 -1.9566731580384195e+08 -2.0503939205773112e+08 -2.1408413851259559e+08 -2.2232176026012611e+08 -2.2926438087576613e+08 -2.3450264887827587e+08 -2.3778150686813188e+08 -2.3903871481132782e+08 -2.3841439306591281e+08 -2.3619709055443975e+08 -2.3277217355706307e+08 -2.2854053403053245e+08 -2.2388381460633898e+08 -2.1912544415372306e+08 -2.1451291007630944e+08 -2.1023796068627030e+08 -2.0641739100127015e+08 -2.0311969723562476e+08 -2.0037944294194034e+08 -1.9817643615015525e+08 -1.9647510900450811e+08 -1.9521162533693925e+08 -1.9429598026148763e+08 -1.9364578226929870e+08 -1.9316889400066453e+08 -1.9279185691388839e+08 -1.9246599948300049e+08 -1.9224534166611841e+08 -1.9202560178783181e+08 -1.9180270557849559e+08 -1.9156972809401622e+08 -1.9132953002237362e+08 -1.9107800399208856e+08 -1.9080914398336297e+08 -1.9051999993156144e+08 -1.9021049966803595e+08 -1.8987493413698363e+08 -1.8950884492014217e+08 -1.8910681477860489e+08 -1.8866274054500276e+08 -1.8817074158676088e+08 -1.8761756364411288e+08 -1.8700252452592248e+08 -1.8631286436787573e+08 -1.8553856426931363e+08 -1.8466884299043274e+08 -1.8369258129207054e+08 -1.8259862693317649e+08 -1.8137742783373648e+08 -1.8001693559301236e+08 -1.7851264161404094e+08 -1.7686149202337673e+08 -1.7506730760619438e+08 -1.7314416350392261e+08 -1.7111601139625391e+08 -1.6902844406636760e+08 -1.6695186545379567e+08 -1.6498480869157150e+08 -1.6328457953394738e+08 -1.6206243567449272e+08 -1.6162567473934951e+08 -1.6241236977778155e+08 -1.6506834771496993e+08 -1.7057179391724354e+08 -1.8047294666884980e+08 -1.9736043397438836e+08 1.5487741942488796e+08 +9.9429809936645364e-01 -1.1306536403587890e+08 -1.1299381473294221e+08 -1.1287500548278856e+08 -1.1272343088116436e+08 -1.1257829603025450e+08 -1.1249859468805429e+08 -1.1251012403758499e+08 -1.1256864926188989e+08 -1.1262973587221137e+08 -1.1268495122136952e+08 -1.1274015779043980e+08 -1.1279656044327086e+08 -1.1285360311665511e+08 -1.1291153478208096e+08 -1.1297115500317433e+08 -1.1303307452884378e+08 -1.1309812814843428e+08 -1.1316763394821738e+08 -1.1324318819322620e+08 -1.1332659447811785e+08 -1.1341989732186219e+08 -1.1352528363076644e+08 -1.1364417227726403e+08 -1.1377848360292506e+08 -1.1393964980803090e+08 -1.1413662517023464e+08 -1.1436944312862934e+08 -1.1464132834204867e+08 -1.1495876798985279e+08 -1.1532974554709829e+08 -1.1576355721114573e+08 -1.1627096543679720e+08 -1.1686440930644025e+08 -1.1755824230229659e+08 -1.1836900027999480e+08 -1.1931567485553394e+08 -1.2042001943361202e+08 -1.2170685335867983e+08 -1.2320438253105812e+08 -1.2494446933718088e+08 -1.2712544537592219e+08 -1.2967738704695487e+08 -1.3265519791533008e+08 -1.3611863162626994e+08 -1.4013112398055303e+08 -1.4475754507676214e+08 -1.5006031771638057e+08 -1.5609313268332586e+08 -1.6289152611847243e+08 -1.7045854761710459e+08 -1.7875023048454106e+08 -1.8764586293280622e+08 -1.9692658452083683e+08 -2.0628084826116171e+08 -2.1528808447897497e+08 -2.2346670009376729e+08 -2.3032941719266599e+08 -2.3547020878190151e+08 -2.3863963043992585e+08 -2.3978220106799105e+08 -2.3904473202771077e+08 -2.3672119326419324e+08 -2.3320066040290445e+08 -2.2888583774783775e+08 -2.2415876746081236e+08 -2.1934224959040025e+08 -2.1468252429805344e+08 -2.1036994842877895e+08 -2.0651987470513549e+08 -2.0319944858712342e+08 -2.0044211511731049e+08 -1.9822660908094680e+08 -1.9651649972421026e+08 -1.9524714561581704e+08 -1.9432781790971518e+08 -1.9367552577610236e+08 -1.9319754226497069e+08 -1.9281997114608625e+08 -1.9249388292246914e+08 -1.9227314788403431e+08 -1.9205335975314704e+08 -1.9183042715630537e+08 -1.9159741647955945e+08 -1.9135718570159885e+08 -1.9110563628273442e+08 -1.9083670872178131e+08 -1.9054752547518417e+08 -1.9023798306478721e+08 -1.8990237160616544e+08 -1.8953623203393880e+08 -1.8913414632528889e+08 -1.8869001042817506e+08 -1.8819795322550070e+08 -1.8764466708721393e+08 -1.8702954161500454e+08 -1.8633978429626313e+08 -1.8556537477828553e+08 -1.8469553026167914e+08 -1.8371912989525250e+08 -1.8262501982466200e+08 -1.8140365657671171e+08 -1.8004294050520045e+08 -1.7853843156998998e+08 -1.7688704576173657e+08 -1.7509260441996208e+08 -1.7316918471266729e+08 -1.7114074177721348e+08 -1.6905287498836526e+08 -1.6697600764514628e+08 -1.6500864166272405e+08 -1.6330816910466331e+08 -1.6208585088307300e+08 -1.6164903794991571e+08 -1.6243584896324447e+08 -1.6509220842789969e+08 -1.7059644762588152e+08 -1.8049904212222314e+08 -1.9738893075471911e+08 1.5598571319252113e+08 +9.9926642214071171e-01 -1.1400660123206691e+08 -1.1393513693240906e+08 -1.1381648925052401e+08 -1.1366512998023216e+08 -1.1352021309669009e+08 -1.1344065747394557e+08 -1.1345222798023368e+08 -1.1351074348960924e+08 -1.1357182803870822e+08 -1.1362706315413305e+08 -1.1368230774453482e+08 -1.1373876808612667e+08 -1.1379589290570657e+08 -1.1385393538779204e+08 -1.1391369963012154e+08 -1.1397580160082911e+08 -1.1404108256495403e+08 -1.1411086788972840e+08 -1.1418676224863850e+08 -1.1427057936540045e+08 -1.1436437560694081e+08 -1.1447035215815184e+08 -1.1458994850151566e+08 -1.1472512072935158e+08 -1.1488733526102428e+08 -1.1508556315504670e+08 -1.1531986211963217e+08 -1.1559349316922034e+08 -1.1591298717779391e+08 -1.1628637823285054e+08 -1.1672302082208864e+08 -1.1723374422910579e+08 -1.1783106375064121e+08 -1.1852941933054075e+08 -1.1934544430756447e+08 -1.2029823919003540e+08 -1.2140967780100557e+08 -1.2270471075902821e+08 -1.2421168456572293e+08 -1.2596260825025991e+08 -1.2815694832021868e+08 -1.3072420370228700e+08 -1.3371942056924306e+08 -1.3720243660089245e+08 -1.4123667046109268e+08 -1.4588681310903522e+08 -1.5121486253303605e+08 -1.5727372952412504e+08 -1.6409768372645921e+08 -1.7168787828675872e+08 -1.7999774102451178e+08 -1.8890316316136646e+08 -1.9818127604083776e+08 -2.0751654458319315e+08 -2.1648502404964548e+08 -2.2460340514788458e+08 -2.3138510302131033e+08 -2.3642750132018155e+08 -2.3948682583820322e+08 -2.4051437072690222e+08 -2.3966361558627456e+08 -2.3723390128835973e+08 -2.3361795195678091e+08 -2.2922022587011528e+08 -2.2442311749550974e+08 -2.1954876431594720e+08 -2.1484213793131560e+08 -2.1049219225565159e+08 -2.0661283340128201e+08 -2.0326985572829589e+08 -2.0049558814336947e+08 -1.9826769589502400e+08 -1.9654888965327802e+08 -1.9527372732844427e+08 -1.9435076132377642e+08 -1.9369640632794321e+08 -1.9321735014559093e+08 -1.9283926243220413e+08 -1.9251295840958881e+08 -1.9229215630148739e+08 -1.9207233000883839e+08 -1.9184937125089082e+08 -1.9161633806717342e+08 -1.9137608559711742e+08 -1.9112452441066763e+08 -1.9085554136060289e+08 -1.9056633217326105e+08 -1.9025676180137816e+08 -1.8992111979346773e+08 -1.8955494664090487e+08 -1.8915282378499949e+08 -1.8870864656776723e+08 -1.8821655374443084e+08 -1.8766318448838878e+08 -1.8704800083011538e+08 -1.8635817793321669e+08 -1.8558369445131046e+08 -1.8471376651912269e+08 -1.8373727218224075e+08 -1.8264305648309404e+08 -1.8142158507661766e+08 -1.8006070720664880e+08 -1.7855605217705569e+08 -1.7690450573367727e+08 -1.7510988959495407e+08 -1.7318628231131384e+08 -1.7115764138199428e+08 -1.6906957068681398e+08 -1.6699250973925146e+08 -1.6502492434546471e+08 -1.6332428621434063e+08 -1.6210184957859939e+08 -1.6166500472857904e+08 -1.6245189573482025e+08 -1.6510851516211477e+08 -1.7061329548229399e+08 -1.8051687871425974e+08 -1.9740839553050539e+08 1.5709378507633895e+08 +1.0042347449149698e+00 -1.1494897893401729e+08 -1.1487759942825320e+08 -1.1475911317783055e+08 -1.1460796839945869e+08 -1.1446326655092788e+08 -1.1438385594543633e+08 -1.1439546766221620e+08 -1.1445397380220869e+08 -1.1451505654308167e+08 -1.1457031154161699e+08 -1.1462559419044423e+08 -1.1468211225859559e+08 -1.1473931910666159e+08 -1.1479747218624036e+08 -1.1485738007008478e+08 -1.1491966399407026e+08 -1.1498517160453142e+08 -1.1505523556822081e+08 -1.1513146892033957e+08 -1.1521569547586977e+08 -1.1530998342302105e+08 -1.1541654814965476e+08 -1.1553684967433758e+08 -1.1567287968677860e+08 -1.1583613871301958e+08 -1.1603561454347253e+08 -1.1627138903110386e+08 -1.1654675937675612e+08 -1.1686829994662604e+08 -1.1724409520053123e+08 -1.1768355762197641e+08 -1.1819758296729761e+08 -1.1879876231232917e+08 -1.1950162152784562e+08 -1.2032289077670282e+08 -1.2128177864184794e+08 -1.2240027834526634e+08 -1.2370347050295800e+08 -1.2521984060912642e+08 -1.2698154230066170e+08 -1.2918916843561855e+08 -1.3177164027776355e+08 -1.3478414125142819e+08 -1.3828658612934202e+08 -1.4234236749138126e+08 -1.4701598575874585e+08 -1.5236899987246883e+08 -1.5845352343051758e+08 -1.6530253987297443e+08 -1.7291528528304294e+08 -1.8124256384570211e+08 -1.9015685953839058e+08 -1.9943130075289157e+08 -2.0874639339363015e+08 -2.1767487494588983e+08 -2.2573180207168394e+08 -2.3243137707081008e+08 -2.3737447931505039e+08 -2.4032306058477280e+08 -2.4123520515268835e+08 -2.4027103701621905e+08 -2.3773521734262323e+08 -2.3402405787394124e+08 -2.2954371279980373e+08 -2.2467688213266689e+08 -2.1974500752177840e+08 -2.1499177109668535e+08 -2.1060471269112405e+08 -2.0669628771320158e+08 -2.0333093922475684e+08 -2.0053988245919055e+08 -1.9829971689108476e+08 -1.9657229896235204e+08 -1.9529139054063919e+08 -1.9436483048911613e+08 -1.9370844385014722e+08 -1.9322833752190372e+08 -1.9284975061473292e+08 -1.9252324575409734e+08 -1.9230238670543653e+08 -1.9208253231903866e+08 -1.9185955760412580e+08 -1.9162651257412127e+08 -1.9138624940164766e+08 -1.9113468804210329e+08 -1.9086566153916487e+08 -1.9057643963541895e+08 -1.9026685545587566e+08 -1.8993119824225724e+08 -1.8956500824646711e+08 -1.8916286662155813e+08 -1.8871866838195726e+08 -1.8822656251064241e+08 -1.8767313515904355e+08 -1.8705792141873232e+08 -1.8636806445503449e+08 -1.8559354238528830e+08 -1.8472357076989314e+08 -1.8374702705966258e+08 -1.8265275570255473e+08 -1.8143123200139025e+08 -1.8007025422570917e+08 -1.7856552180912817e+08 -1.7691389014289328e+08 -1.7511918115022802e+08 -1.7319547412121505e+08 -1.7116672782312861e+08 -1.6907854855904952e+08 -1.6700138891928694e+08 -1.6503367372173581e+08 -1.6333294766948119e+08 -1.6211044844199923e+08 -1.6167359171093628e+08 -1.6246052680862185e+08 -1.6511728490745884e+08 -1.7062235504281330e+08 -1.8052647502017012e+08 -1.9741884861705738e+08 1.5820159659826964e+08 +1.0092030676892279e+00 -1.1589245461904016e+08 -1.1582115871167204e+08 -1.1570283128253631e+08 -1.1555189915206474e+08 -1.1540741258825082e+08 -1.1532814635901164e+08 -1.1533979823700367e+08 -1.1539829548150973e+08 -1.1545937658814184e+08 -1.1551465165797342e+08 -1.1556997235432929e+08 -1.1562654813266522e+08 -1.1568383688469149e+08 -1.1574210033614224e+08 -1.1580215146279269e+08 -1.1586461682293798e+08 -1.1593035035802720e+08 -1.1600069204217662e+08 -1.1607726322983025e+08 -1.1616189778646573e+08 -1.1625667569589107e+08 -1.1636382647095020e+08 -1.1648483059046736e+08 -1.1662171518428864e+08 -1.1678601477119574e+08 -1.1698673381925730e+08 -1.1722397820012116e+08 -1.1750108112938568e+08 -1.1782466025791140e+08 -1.1820285017256047e+08 -1.1864512105185056e+08 -1.1916243476136883e+08 -1.1976745771280518e+08 -1.2047480115866961e+08 -1.2130129141503467e+08 -1.2226624430855440e+08 -1.2339177142518586e+08 -1.2470308208324470e+08 -1.2622879913995533e+08 -1.2800121878107755e+08 -1.3022205151814455e+08 -1.3281964080578329e+08 -1.3584930192482471e+08 -1.3937101975822002e+08 -1.4344815181958342e+08 -1.4814499657053521e+08 -1.5352265967533326e+08 -1.5963244039362851e+08 -1.6650601639417410e+08 -1.7414068634421268e+08 -1.8248461308004990e+08 -1.9140686370279121e+08 -2.0067656970255387e+08 -2.0997030786337492e+08 -2.1885755582152304e+08 -2.2685181854090056e+08 -2.3346817912004691e+08 -2.3831109663804486e+08 -2.4114830317592096e+08 -2.4194468656989351e+08 -2.4086699031782359e+08 -2.3822514473735118e+08 -2.3441898828921726e+08 -2.2985631332568517e+08 -2.2492007911005777e+08 -2.1993099866371170e+08 -2.1513144414435387e+08 -2.1070753046610034e+08 -2.0677025845570278e+08 -2.0338271982271257e+08 -2.0057501867925763e+08 -1.9832269253899145e+08 -1.9658674799034348e+08 -1.9530015548525149e+08 -1.9437004555758896e+08 -1.9371165843333900e+08 -1.9323052443814296e+08 -1.9285145570079085e+08 -1.9252476493052348e+08 -1.9230385904756132e+08 -1.9208398661241439e+08 -1.9186100612112266e+08 -1.9162795988169736e+08 -1.9138769697128278e+08 -1.9113614700632402e+08 -1.9086708906043988e+08 -1.9057786763445348e+08 -1.9026828376838958e+08 -1.8993262665776506e+08 -1.8956643651809597e+08 -1.8916429446031743e+08 -1.8872009545023596e+08 -1.8822799905188566e+08 -1.8767453857060111e+08 -1.8705932278873709e+08 -1.8636946319785690e+08 -1.8559493783547464e+08 -1.8472496217932528e+08 -1.8374841359102312e+08 -1.8265413643295681e+08 -1.8143261617385861e+08 -1.8007160024538469e+08 -1.7856685899275813e+08 -1.7691521734454495e+08 -1.7512049725455672e+08 -1.7319677811123899e+08 -1.7116801885877144e+08 -1.6907982614662012e+08 -1.6700266251112536e+08 -1.6503490691401520e+08 -1.6333417041640231e+08 -1.6211166429231229e+08 -1.6167481567017812e+08 -1.6246175903970549e+08 -1.6511853479457819e+08 -1.7062364400932127e+08 -1.8052784976927423e+08 -1.9742031049799183e+08 1.5930910953580281e+08 +1.0141713904634859e+00 -1.1683698157529108e+08 -1.1676576917721041e+08 -1.1664760076702274e+08 -1.1649688043679921e+08 -1.1635260626990065e+08 -1.1627348308201025e+08 -1.1628517521863945e+08 -1.1634366357337983e+08 -1.1640474335117424e+08 -1.1646003874311323e+08 -1.1651539745120329e+08 -1.1657203085858758e+08 -1.1662940137422213e+08 -1.1668777495421875e+08 -1.1674796891361426e+08 -1.1681061516354330e+08 -1.1687657387890713e+08 -1.1694719233177818e+08 -1.1702410016160689e+08 -1.1710914123811124e+08 -1.1720440731384096e+08 -1.1731214195075721e+08 -1.1743384600790597e+08 -1.1757158189477147e+08 -1.1773691800673646e+08 -1.1793887542989704e+08 -1.1817758392817444e+08 -1.1845641255627607e+08 -1.1878202203812584e+08 -1.1916259683700119e+08 -1.1960766451920190e+08 -1.2012825268908541e+08 -1.2073710264175828e+08 -1.2144891045700312e+08 -1.2228059792158367e+08 -1.2325158726122212e+08 -1.2438410737513341e+08 -1.2570349497101408e+08 -1.2723850861883388e+08 -1.2902158497037743e+08 -1.3125554335618342e+08 -1.3386814931990020e+08 -1.3691484456401545e+08 -1.4045567706027883e+08 -1.4455396023917705e+08 -1.4927377916013178e+08 -1.5467577198799199e+08 -1.6081040655765128e+08 -1.6770803534056252e+08 -1.7536399950472650e+08 -1.8372380325683796e+08 -1.9265308781434888e+08 -2.0191699459461087e+08 -2.1118820196492028e+08 -2.2003298626011544e+08 -2.2796338325525513e+08 -2.3449545001110131e+08 -2.3923730820276049e+08 -2.4196252307329145e+08 -2.4264279805204529e+08 -2.4145147020909944e+08 -2.3870368737146041e+08 -2.3480275381080276e+08 -2.3015804261784321e+08 -2.2515272647662276e+08 -2.2010675745894757e+08 -2.1526117765192810e+08 -2.1080066651491740e+08 -2.0683476663264796e+08 -2.0342521844876474e+08 -2.0060101759192938e+08 -1.9833664347888878e+08 -1.9659225724407521e+08 -1.9530004256153688e+08 -1.9436642684646749e+08 -1.9370607033291161e+08 -1.9322393110300109e+08 -1.9284439786172095e+08 -1.9251753607621342e+08 -1.9229659344257948e+08 -1.9207671298086074e+08 -1.9185373687031162e+08 -1.9162070003364968e+08 -1.9138044832466435e+08 -1.9112892129572660e+08 -1.9085984388893905e+08 -1.9057063610442907e+08 -1.9026106664078081e+08 -1.8992542490684173e+08 -1.8955925128392813e+08 -1.8915712708771831e+08 -1.8871294751200941e+08 -1.8822088305598810e+08 -1.8766741435351187e+08 -1.8705222450619391e+08 -1.8636239365560013e+08 -1.8558790021494219e+08 -1.8471796006912425e+08 -1.8374145099627241e+08 -1.8264721777959821e+08 -1.8142575657106203e+08 -1.8006476410118264e+08 -1.7856008240608957e+08 -1.7690850584378517e+08 -1.7511385622526017e+08 -1.7319021239772359e+08 -1.7116153239318314e+08 -1.6907342113516191e+08 -1.6699634798238444e+08 -1.6502864118494716e+08 -1.6332797153941107e+08 -1.6210551408625585e+08 -1.6166869351716474e+08 -1.6245560942102432e+08 -1.6511228209438577e+08 -1.7061718022891504e+08 -1.8052102184429270e+08 -1.9741280182504812e+08 1.6041628592133337e+08 +1.0191397132377440e+00 -1.1778251589919432e+08 -1.1771138619092904e+08 -1.1759337554421198e+08 -1.1744286391876876e+08 -1.1729880191498893e+08 -1.1721982126023634e+08 -1.1723155368644264e+08 -1.1729003334619346e+08 -1.1735111209591839e+08 -1.1740642795122601e+08 -1.1746182464767666e+08 -1.1751851557517190e+08 -1.1757596768238223e+08 -1.1763445112380515e+08 -1.1769478749570215e+08 -1.1775761405666940e+08 -1.1782379718571776e+08 -1.1789469142178264e+08 -1.1797193466479848e+08 -1.1805738073693071e+08 -1.1815313313078675e+08 -1.1826144938357665e+08 -1.1838385065008590e+08 -1.1852243445687267e+08 -1.1868880295673992e+08 -1.1889199378928818e+08 -1.1913216048333192e+08 -1.1941270775370876e+08 -1.1974033918177713e+08 -1.2012328885015082e+08 -1.2057114140078549e+08 -1.2109498979787357e+08 -1.2170764975991726e+08 -1.2242390162907656e+08 -1.2326076196885400e+08 -1.2423775854623669e+08 -1.2537723650715707e+08 -1.2670465861814202e+08 -1.2824891749066535e+08 -1.3004258813692088e+08 -1.3228958973375939e+08 -1.3491710985716277e+08 -1.3798071115801337e+08 -1.4154049763767627e+08 -1.4565972959243852e+08 -1.5040226721814302e+08 -1.5582826696718979e+08 -1.6198734822386932e+08 -1.6890851898206472e+08 -1.7658514309932891e+08 -1.8496004930765721e+08 -1.9389544455710170e+08 -2.0315248779595914e+08 -2.1239999047353643e+08 -2.2120108677343786e+08 -2.2906642593259883e+08 -2.3551313164115536e+08 -2.4015306995510337e+08 -2.4276569069310284e+08 -2.4332952351236740e+08 -2.4202447211627045e+08 -2.3917084972251901e+08 -2.3517536551394945e+08 -2.3044891622302866e+08 -2.2537484258990887e+08 -2.2027230388406178e+08 -2.1538099242154041e+08 -2.1088414197521961e+08 -2.0688983343592387e+08 -2.0345845620855340e+08 -2.0061790015856296e+08 -1.9834159052015167e+08 -1.9658884739734387e+08 -1.9529107233385429e+08 -1.9435399483659577e+08 -1.9369169996781269e+08 -1.9320857788835546e+08 -1.9282859743162450e+08 -1.9250157949171931e+08 -1.9228061016726735e+08 -1.9206073167806655e+08 -1.9183777008203644e+08 -1.9160475323566642e+08 -1.9136452364199206e+08 -1.9111303106328070e+08 -1.9084394615070012e+08 -1.9055476514079496e+08 -1.9024522413598469e+08 -1.8990961301663056e+08 -1.8954347253256810e+08 -1.8914138444947833e+08 -1.8869724446644327e+08 -1.8820523436961386e+08 -1.8765178229761600e+08 -1.8703664629556108e+08 -1.8634687547991168e+08 -1.8557244909360006e+08 -1.8470258391739514e+08 -1.8372615865020359e+08 -1.8263201900187519e+08 -1.8141067232307953e+08 -1.8004976478083134e+08 -1.7854521087771147e+08 -1.7689377429530329e+08 -1.7509927652792126e+08 -1.7317579524295524e+08 -1.7114728647454247e+08 -1.6905935135268947e+08 -1.6698246294192782e+08 -1.6501489393669775e+08 -1.6331436826157996e+08 -1.6209201491776034e+08 -1.6165524229920077e+08 -1.6244209508275324e+08 -1.6509854421751934e+08 -1.7060298169259501e+08 -1.8050601028003868e+08 -1.9739634341637999e+08 1.6152308804150459e+08 +1.0241080360120021e+00 -1.1872901166602880e+08 -1.1865796461405328e+08 -1.1854011114103025e+08 -1.1838980717455307e+08 -1.1824595525805005e+08 -1.1816711597050174e+08 -1.1817888883851172e+08 -1.1823736016793524e+08 -1.1829843798077570e+08 -1.1835377433496161e+08 -1.1840920904465151e+08 -1.1846595739958066e+08 -1.1852349089142767e+08 -1.1858208390187694e+08 -1.1864256225061327e+08 -1.1870556851042090e+08 -1.1877197526392974e+08 -1.1884314426277734e+08 -1.1892072165513799e+08 -1.1900657115690312e+08 -1.1910280796722819e+08 -1.1921170353106084e+08 -1.1933479920814581e+08 -1.1947422747742392e+08 -1.1964162412668909e+08 -1.1984604327973601e+08 -1.2008766210257614e+08 -1.2036992078758198e+08 -1.2069956555302323e+08 -1.2108487983895555e+08 -1.2153550504421543e+08 -1.2206259910727584e+08 -1.2267905170121109e+08 -1.2339972685577130e+08 -1.2424173520574124e+08 -1.2522470918817393e+08 -1.2637110911419339e+08 -1.2770652246021590e+08 -1.2925997418801785e+08 -1.3106417554071696e+08 -1.3332413643334147e+08 -1.3596646646174371e+08 -1.3904684371444350e+08 -1.4262542112510961e+08 -1.4676539677415717e+08 -1.5153039451391107e+08 -1.5698007488346907e+08 -1.6316319185462493e+08 -1.7010738981306458e+08 -1.7780403576777050e+08 -1.8619326657106674e+08 -1.9513384714331615e+08 -2.0438296233734635e+08 -2.1360558896774921e+08 -2.2236177880052450e+08 -2.3016087730528536e+08 -2.3652116695738032e+08 -2.4105833886557525e+08 -2.4355777739761910e+08 -2.4400484769504362e+08 -2.4258599216529244e+08 -2.3962663684104979e+08 -2.3553683493530497e+08 -2.3072895005959913e+08 -2.2558644611168063e+08 -2.2042765817147237e+08 -2.1549090947919974e+08 -2.1095797818605629e+08 -2.0693548024481475e+08 -2.0348245438478011e+08 -2.0062568751237789e+08 -1.9833755464002991e+08 -1.9657653928984237e+08 -1.9527326553150240e+08 -1.9433277017350689e+08 -1.9366856792005873e+08 -1.9318448532847729e+08 -1.9280407490660858e+08 -1.9247691563933983e+08 -1.9225592966097656e+08 -1.9203606311961585e+08 -1.9181312614798597e+08 -1.9158013985472906e+08 -1.9133994326460826e+08 -1.9108849662292761e+08 -1.9081941613201320e+08 -1.9053027499928868e+08 -1.9022077647632787e+08 -1.8988521117395666e+08 -1.8951912041180295e+08 -1.8911708665087399e+08 -1.8867300637121817e+08 -1.8818107299754205e+08 -1.8762766234967184e+08 -1.8701260803862005e+08 -1.8632292847901887e+08 -1.8554860419712207e+08 -1.8467885335732141e+08 -1.8370255608225593e+08 -1.8260855951283196e+08 -1.8138738271287480e+08 -1.8002662142318481e+08 -1.7852226338718280e+08 -1.7687104150254706e+08 -1.7507677677490041e+08 -1.7315354505508012e+08 -1.7112529929520285e+08 -1.6903763476964855e+08 -1.6696102513889948e+08 -1.6499368271036732e+08 -1.6329337794305658e+08 -1.6207118401680452e+08 -1.6163447919947296e+08 -1.6242123329169062e+08 -1.6507733871321797e+08 -1.7058106653484860e+08 -1.8048283426396748e+08 -1.9737095625609812e+08 1.6262947843654802e+08 +1.0290763587862601e+00 -1.1967642557483344e+08 -1.1960546012290707e+08 -1.1948776236576617e+08 -1.1933766500214545e+08 -1.1919402189836338e+08 -1.1911532295986485e+08 -1.1912713602617456e+08 -1.1918559916929173e+08 -1.1924667600659208e+08 -1.1930203293485294e+08 -1.1935750569292738e+08 -1.1941431141072351e+08 -1.1947192605787602e+08 -1.1953062832149850e+08 -1.1959124818865353e+08 -1.1965443350315523e+08 -1.1972106306871316e+08 -1.1979250577500571e+08 -1.1987041601814830e+08 -1.1995666734191261e+08 -1.2005338661352426e+08 -1.2016285912480114e+08 -1.2028664634323148e+08 -1.2042691553332880e+08 -1.2059533599235708e+08 -1.2080097825434949e+08 -1.2104404299403119e+08 -1.2132800569500253e+08 -1.2165965498810521e+08 -1.2204732340291254e+08 -1.2250070877085339e+08 -1.2303103361137134e+08 -1.2365126107491095e+08 -1.2437633829461028e+08 -1.2522346925948884e+08 -1.2621239019214201e+08 -1.2736567547201881e+08 -1.2870903591880180e+08 -1.3027162713302144e+08 -1.3208629443682584e+08 -1.3435912923895413e+08 -1.3701616318764693e+08 -1.4011318426162866e+08 -1.4371038719363678e+08 -1.4787089873474401e+08 -1.5265809489954102e+08 -1.5813112612594423e+08 -1.6433786407863414e+08 -1.7130457055604640e+08 -1.7902059645934910e+08 -1.8742337079596141e+08 -1.9636820931702816e+08 -2.0560833191677397e+08 -2.1480491382949606e+08 -2.2351498470477363e+08 -2.3124666911541083e+08 -2.3751949994824862e+08 -2.4195307291927618e+08 -2.4433875548446390e+08 -2.4466875616494107e+08 -2.4313602717274022e+08 -2.4007105434267396e+08 -2.3588717406663418e+08 -2.3099816041308010e+08 -2.2578755600431091e+08 -2.2057284080739221e+08 -2.1559095007148764e+08 -2.1102219668513182e+08 -2.0697172862383649e+08 -2.0349723443744096e+08 -2.0062440095757264e+08 -1.9832455698396924e+08 -1.9655535392635757e+08 -1.9524664304715404e+08 -1.9430277366451761e+08 -1.9363669493383387e+08 -1.9315167411935893e+08 -1.9277085094411117e+08 -1.9244356514240173e+08 -1.9222257252306402e+08 -1.9200272788169950e+08 -1.9177982562039459e+08 -1.9154688041794172e+08 -1.9130672769378826e+08 -1.9105533844866991e+08 -1.9078627427921501e+08 -1.9049718609480348e+08 -1.9018774404369095e+08 -1.8985223972446397e+08 -1.8948621522794870e+08 -1.8908425395490450e+08 -1.8864025344188532e+08 -1.8814841910245329e+08 -1.8759507461391500e+08 -1.8698012977325353e+08 -1.8629057261714420e+08 -1.8551638540656945e+08 -1.8464678817678347e+08 -1.8367066297558507e+08 -1.8257685887821323e+08 -1.8135590717472267e+08 -1.7999535331811243e+08 -1.7849125906253451e+08 -1.7684032641693795e+08 -1.7504637572561181e+08 -1.7312348038686985e+08 -1.7109558919077647e+08 -1.6900828949774510e+08 -1.6693205246200547e+08 -1.6496502518470863e+08 -1.6326501808022740e+08 -1.6204303874898669e+08 -1.6160642153667054e+08 -1.6239304145071256e+08 -1.6504868326861212e+08 -1.7055145303274411e+08 -1.8045151313367242e+08 -1.9733666149354103e+08 1.6373541989962307e+08 +1.0340446815605182e+00 -1.2062471190643425e+08 -1.2055382760014723e+08 -1.2043628337862708e+08 -1.2028639192602061e+08 -1.2014295631252427e+08 -1.2006439693535028e+08 -1.2007624961823201e+08 -1.2013470495405930e+08 -1.2019578121503522e+08 -1.2025115883665983e+08 -1.2030666961984740e+08 -1.2036353264269151e+08 -1.2042122821111491e+08 -1.2048003939078158e+08 -1.2054080029060210e+08 -1.2060416398628312e+08 -1.2067101552657571e+08 -1.2074273084994312e+08 -1.2082097261002499e+08 -1.2090762410730632e+08 -1.2100482383166322e+08 -1.2111487086854793e+08 -1.2123934668879524e+08 -1.2138045317406723e+08 -1.2154989300229718e+08 -1.2175675303936467e+08 -1.2200125733945557e+08 -1.2228691648729168e+08 -1.2262056129767582e+08 -1.2301057311671114e+08 -1.2346670587779339e+08 -1.2400024628091335e+08 -1.2462423046848005e+08 -1.2535368808251558e+08 -1.2620591573828705e+08 -1.2720075254634964e+08 -1.2836088584184270e+08 -1.2971214840414709e+08 -1.3128382474065417e+08 -1.3310889207735808e+08 -1.3539451393856522e+08 -1.3806614410204890e+08 -1.4117967485271561e+08 -1.4479533555352953e+08 -1.4897617248500103e+08 -1.5378530231370327e+08 -1.5928135120595819e+08 -1.6551129169444862e+08 -1.7249998416679260e+08 -1.8023474443739384e+08 -1.8865027814682484e+08 -1.9759844535772023e+08 -2.0682851090053362e+08 -2.1599788224458653e+08 -2.2466062777281922e+08 -2.3232373411073047e+08 -2.3850807563803431e+08 -2.4283723110897034e+08 -2.4510859817875305e+08 -2.4532123529836902e+08 -2.4367457463829458e+08 -2.4050410840063131e+08 -2.3622639534941390e+08 -2.3125656393185815e+08 -2.2597819152806965e+08 -2.2070787252877301e+08 -2.1568113566434100e+08 -2.1107681920858201e+08 -2.0699860032113704e+08 -2.0350281800108042e+08 -2.0061406196833369e+08 -1.9830261886297244e+08 -1.9652531247600770e+08 -1.9521122593616578e+08 -1.9426402627932388e+08 -1.9359610191402507e+08 -1.9311016511754149e+08 -1.9272894636215553e+08 -1.9240154878422832e+08 -1.9218055951331279e+08 -1.9196074670003688e+08 -1.9173788921095067e+08 -1.9150499561166629e+08 -1.9126489758991754e+08 -1.9101357717359599e+08 -1.9074454119704926e+08 -1.9045551900085735e+08 -1.9014614737812528e+08 -1.8981071917183647e+08 -1.8944477744519007e+08 -1.8904290678223100e+08 -1.8859900605090287e+08 -1.8810729300298026e+08 -1.8755403935033223e+08 -1.8693923169325313e+08 -1.8624982801320484e+08 -1.8547581275758076e+08 -1.8460640831712064e+08 -1.8363049916585377e+08 -1.8253693681573492e+08 -1.8131626529418892e+08 -1.7995597990486923e+08 -1.7845221718078235e+08 -1.7680164813693658e+08 -1.7500809228419530e+08 -1.7308561993539652e+08 -1.7105817463913134e+08 -1.6897133378931537e+08 -1.6689556293929812e+08 -1.6492893917603889e+08 -1.6322930630576956e+08 -1.6200759661479631e+08 -1.6157108676332614e+08 -1.6235753709733310e+08 -1.6501259570862010e+08 -1.7051415960557270e+08 -1.8041206637710166e+08 -1.9729348044229123e+08 1.6484087547615379e+08 +1.0390130043347763e+00 -1.2157382431576163e+08 -1.2150302168428940e+08 -1.2138563199040760e+08 -1.2123594334551789e+08 -1.2109271395572652e+08 -1.2101429334921759e+08 -1.2102618533241220e+08 -1.2108463268433961e+08 -1.2114570876764235e+08 -1.2120110711519206e+08 -1.2125665584971412e+08 -1.2131357609127745e+08 -1.2137135235092029e+08 -1.2143027208893131e+08 -1.2149117350872390e+08 -1.2155471488660590e+08 -1.2162178753780228e+08 -1.2169377435388586e+08 -1.2177234626146682e+08 -1.2185939624258071e+08 -1.2195707435793473e+08 -1.2206769343991770e+08 -1.2219285485243431e+08 -1.2233479492391931e+08 -1.2250524958010624e+08 -1.2271332193611901e+08 -1.2295925929574367e+08 -1.2324660715173441e+08 -1.2358223826919590e+08 -1.2397458253234650e+08 -1.2443344964039136e+08 -1.2497019006574251e+08 -1.2559791244940744e+08 -1.2633172833820763e+08 -1.2718902623384295e+08 -1.2818974722451182e+08 -1.2935669047323671e+08 -1.3071580931780198e+08 -1.3229651542106336e+08 -1.3413191571544890e+08 -1.3643023632746497e+08 -1.3911635328790545e+08 -1.4224625756830126e+08 -1.4588020595857945e+08 -1.5008115509812835e+08 -1.5491195078518486e+08 -1.6043068076151976e+08 -1.6668340167534271e+08 -1.7369355383834982e+08 -1.8144639928378007e+08 -1.8987390520685589e+08 -1.9882447008327901e+08 -2.0804341432663795e+08 -2.1718441220404759e+08 -2.2579863221200964e+08 -2.3339200603956422e+08 -2.3948684007983434e+08 -2.4371077342497522e+08 -2.4586727962176511e+08 -2.4596227227394113e+08 -2.4420163273506239e+08 -2.4092580573858097e+08 -2.3655451166837901e+08 -2.3150417762199700e+08 -2.2615837223673987e+08 -2.2083277432100672e+08 -2.1576148794031623e+08 -2.1112186768864772e+08 -2.0701611726813591e+08 -2.0349922688520065e+08 -2.0059469218729332e+08 -1.9827176175398257e+08 -1.9648643627068248e+08 -1.9516703541582149e+08 -1.9421654914797014e+08 -1.9354680992619571e+08 -1.9305997933946258e+08 -1.9267838213802725e+08 -1.9235088750727841e+08 -1.9212991155022702e+08 -1.9191014046942410e+08 -1.9168733778996488e+08 -1.9145450628102943e+08 -1.9121447377170661e+08 -1.9096323358814350e+08 -1.9069423764783606e+08 -1.9040529444875500e+08 -1.9009600717668974e+08 -1.8976067017676979e+08 -1.8939482768419185e+08 -1.8899306570971838e+08 -1.8854928472687584e+08 -1.8805771517396486e+08 -1.8750457697448459e+08 -1.8688993414706239e+08 -1.8620071494046342e+08 -1.8542690643871379e+08 -1.8455773387257162e+08 -1.8358208464124298e+08 -1.8248881319416347e+08 -1.8126847680673376e+08 -1.7990852077197543e+08 -1.7840515716645810e+08 -1.7675502590747848e+08 -1.7496194550066715e+08 -1.7303998254085216e+08 -1.7101307425961259e+08 -1.6892678603648904e+08 -1.6685157473625770e+08 -1.6488544263685530e+08 -1.6318626038733932e+08 -1.6196487524878240e+08 -1.6152849246626928e+08 -1.6231473790376729e+08 -1.6496909399434498e+08 -1.7046920481334326e+08 -1.8036451363185406e+08 -1.9724143457887182e+08 1.6594580846316400e+08 +1.0439813271090344e+00 -1.2252372088612224e+08 -1.2245299705916390e+08 -1.2233575960309251e+08 -1.2218627418483184e+08 -1.2204324841695534e+08 -1.2196496648938154e+08 -1.2197689851668149e+08 -1.2203533762903824e+08 -1.2209641373420022e+08 -1.2215183276415068e+08 -1.2220741939966026e+08 -1.2226439672381791e+08 -1.2232225344634464e+08 -1.2238128136436985e+08 -1.2244232276906088e+08 -1.2250604110913216e+08 -1.2257333397788191e+08 -1.2264559112993118e+08 -1.2272449177882874e+08 -1.2281193851270622e+08 -1.2291009290467475e+08 -1.2302128149309513e+08 -1.2314712541821599e+08 -1.2328989528397159e+08 -1.2346136012620056e+08 -1.2367063922328103e+08 -1.2391800299798238e+08 -1.2420703165375279e+08 -1.2454463966882348e+08 -1.2493930518150599e+08 -1.2540089331434442e+08 -1.2594081789743327e+08 -1.2657225956806757e+08 -1.2731041116427739e+08 -1.2817275232387756e+08 -1.2917932518825433e+08 -1.3035303960625032e+08 -1.3171996805538268e+08 -1.3330964758242521e+08 -1.3515531260665873e+08 -1.3746624221087191e+08 -1.4016673484742749e+08 -1.4331287451973265e+08 -1.4696493820829546e+08 -1.5118578371493816e+08 -1.5603797443702891e+08 -1.6157904556102708e+08 -1.6785412117306161e+08 -1.7488520300581858e+08 -1.8265548090259090e+08 -1.9109416898273793e+08 -2.0004619885369325e+08 -2.0925295790576699e+08 -2.1836442250273001e+08 -2.2692892314895836e+08 -2.3445141964691117e+08 -2.4045574034774294e+08 -2.4457366084822968e+08 -2.4661477486377940e+08 -2.4659185506351894e+08 -2.4471720030283251e+08 -2.4133615362436590e+08 -2.3687153634642968e+08 -2.3174101884371871e+08 -2.2632811797500721e+08 -2.2094756741516855e+08 -2.1583202879732096e+08 -2.1115736425180745e+08 -2.0702430157782587e+08 -2.0348648307193267e+08 -2.0056631342508063e+08 -1.9823200729790261e+08 -1.9643874680517861e+08 -1.9511409286420512e+08 -1.9416036356095240e+08 -1.9348884019517976e+08 -1.9300113796067852e+08 -1.9261917940777069e+08 -1.9229160241300064e+08 -1.9207064971085647e+08 -1.9185093024249628e+08 -1.9162819238566875e+08 -1.9139543342835134e+08 -1.9115547721556324e+08 -1.9090432864064339e+08 -1.9063538455183300e+08 -1.9034653332602721e+08 -1.9003734429342961e+08 -1.8970211355643943e+08 -1.8933638672180635e+08 -1.8893475147013235e+08 -1.8849111015366945e+08 -1.8799970624465993e+08 -1.8744670805627155e+08 -1.8683225763681042e+08 -1.8614325382564563e+08 -1.8536968679181343e+08 -1.8450078508924657e+08 -1.8352543954058856e+08 -1.8243250803264138e+08 -1.8121256159685954e+08 -1.7985299565592387e+08 -1.7835009859118199e+08 -1.7670047911907828e+08 -1.7490795456849554e+08 -1.7298658718580601e+08 -1.7096030681249896e+08 -1.6887466477067319e+08 -1.6680010615628049e+08 -1.6483455365577400e+08 -1.6313589822674868e+08 -1.6191489241888842e+08 -1.6147865636506826e+08 -1.6226466167593428e+08 -1.6491819622283599e+08 -1.7041660735679266e+08 -1.8030887468347281e+08 -1.9718054554259065e+08 1.6705018240861180e+08 +1.0489496498832924e+00 -1.2347435378717564e+08 -1.2340370952028163e+08 -1.2328662332156140e+08 -1.2313733925167269e+08 -1.2299451725734757e+08 -1.2291637190406741e+08 -1.2292834341671829e+08 -1.2298677495411320e+08 -1.2304785104327959e+08 -1.2310329072262982e+08 -1.2315891525763634e+08 -1.2321594948399299e+08 -1.2327388643663992e+08 -1.2333302213645463e+08 -1.2339420297360343e+08 -1.2345809753857200e+08 -1.2352560970006588e+08 -1.2359813600074536e+08 -1.2367736394682470e+08 -1.2376520566099647e+08 -1.2386383416294023e+08 -1.2397558966066471e+08 -1.2410211294927354e+08 -1.2424570873459587e+08 -1.2441817902057829e+08 -1.2462865915929419e+08 -1.2487744256135926e+08 -1.2516814393967648e+08 -1.2550771924402243e+08 -1.2590469457769795e+08 -1.2636899013802850e+08 -1.2691208269091555e+08 -1.2754722435957187e+08 -1.2828968865003285e+08 -1.2915704557397966e+08 -1.3016943738971865e+08 -1.3134988347423433e+08 -1.3272457400883657e+08 -1.3432316963346484e+08 -1.3617903001262116e+08 -1.3850247740708834e+08 -1.4121723290466690e+08 -1.4437946785250640e+08 -1.4804947215232253e+08 -1.5228999554624084e+08 -1.5716330749049515e+08 -1.6272637650751182e+08 -1.6902337752244890e+08 -1.7607485534996289e+08 -1.8386190952592331e+08 -1.9231098690825781e+08 -2.0126354757424238e+08 -2.1045705802390712e+08 -2.1953783274110612e+08 -2.2805142662694767e+08 -2.3550191066962346e+08 -2.4141472453197125e+08 -2.4542585534057918e+08 -2.4735105985369360e+08 -2.4720997242343700e+08 -2.4522127683875605e+08 -2.4173515986214882e+08 -2.3717748313919893e+08 -2.3196710530638570e+08 -2.2648744887511960e+08 -2.2105227328522968e+08 -2.1589278034604657e+08 -2.1118333121843269e+08 -2.0702317554303837e+08 -2.0346460871552950e+08 -2.0052894765889809e+08 -1.9818337729964787e+08 -1.9638226573507705e+08 -1.9505241981946427e+08 -1.9409549096776667e+08 -1.9342221410434201e+08 -1.9293366231489718e+08 -1.9255135946531725e+08 -1.9222371475959006e+08 -1.9200279522938544e+08 -1.9178313722951922e+08 -1.9156047418354344e+08 -1.9132779821337411e+08 -1.9108792905400875e+08 -1.9083688343567652e+08 -1.9056800298452219e+08 -1.9027925667671746e+08 -1.8997017973809776e+08 -1.8963507028308895e+08 -1.8926947548973927e+08 -1.8886798495063978e+08 -1.8842450316944277e+08 -1.8793328699859181e+08 -1.8738045331884298e+08 -1.8676622281784308e+08 -1.8607746524774963e+08 -1.8530417431033361e+08 -1.8443558236444968e+08 -1.8346058415342584e+08 -1.8236804149934509e+08 -1.8114853969783604e+08 -1.7978942444064918e+08 -1.7828706117251548e+08 -1.7663802730647165e+08 -1.7484613882454726e+08 -1.7292545299478665e+08 -1.7089989119806716e+08 -1.6881498866152027e+08 -1.6674117563925692e+08 -1.6477629045638546e+08 -1.6307823785965201e+08 -1.6185766602562732e+08 -1.6142159631173429e+08 -1.6220732635236296e+08 -1.6485992062652922e+08 -1.7035638607601690e+08 -1.8024516946545771e+08 -1.9711083513421968e+08 1.6815396111072099e+08 +1.0539179726575505e+00 -1.2442567820463556e+08 -1.2435511416206920e+08 -1.2423817856085099e+08 -1.2408909491899025e+08 -1.2394647360635167e+08 -1.2386846449771497e+08 -1.2388047507056123e+08 -1.2393889969720420e+08 -1.2399997557201320e+08 -1.2405543594758029e+08 -1.2411109837181252e+08 -1.2416818929445030e+08 -1.2422620623482455e+08 -1.2428544929997335e+08 -1.2434676900230512e+08 -1.2441083904058039e+08 -1.2447856953658319e+08 -1.2455136377037367e+08 -1.2463091753098482e+08 -1.2471915241025792e+08 -1.2481825280506080e+08 -1.2493057255615997e+08 -1.2505777198950122e+08 -1.2520218973726170e+08 -1.2537566062457056e+08 -1.2558733598449674e+08 -1.2583753208313961e+08 -1.2612989793851173e+08 -1.2647143072580312e+08 -1.2687070421848422e+08 -1.2733769333494800e+08 -1.2788393734742969e+08 -1.2852275934651230e+08 -1.2926951287335823e+08 -1.3014185754073644e+08 -1.3116003477390981e+08 -1.3234717230612162e+08 -1.3372957656930630e+08 -1.3533702998650232e+08 -1.3720301520356134e+08 -1.3953888774977347e+08 -1.4226779160909301e+08 -1.4544597974912384e+08 -1.4913374769275361e+08 -1.5339372787672621e+08 -1.5828788426811206e+08 -1.6387260464242974e+08 -1.7019109824546534e+08 -1.7726243480272415e+08 -1.8506560571632889e+08 -1.9352427684832272e+08 -2.0247643269853580e+08 -2.1165563174468625e+08 -2.2070456332421514e+08 -2.2916606960408771e+08 -2.3654341583185998e+08 -2.4236374172963932e+08 -2.4626731983754572e+08 -2.4807611143005151e+08 -2.4781661388548890e+08 -2.4571386248973793e+08 -2.4212283278639868e+08 -2.3747236622858953e+08 -2.3218245506447810e+08 -2.2663638535288078e+08 -2.2114691364614305e+08 -2.1594376490820077e+08 -2.1119979109956461e+08 -2.0701276163533467e+08 -2.0343362614091665e+08 -2.0048261703204829e+08 -1.9812589372603956e+08 -1.9631701487681136e+08 -1.9498203797897908e+08 -1.9402195297609255e+08 -1.9334695319488436e+08 -1.9285757389294979e+08 -1.9247494376155791e+08 -1.9214724596234122e+08 -1.9192636949651441e+08 -1.9170678279622182e+08 -1.9148420452472377e+08 -1.9125162195113134e+08 -1.9101185057562104e+08 -1.9076091923349789e+08 -1.9049211417697382e+08 -1.9020348569965690e+08 -1.8989453467468631e+08 -1.8955956148377150e+08 -1.8919411507440919e+08 -1.8879278719280520e+08 -1.8834948476598480e+08 -1.8785847837213099e+08 -1.8730583363836896e+08 -1.8669185049769029e+08 -1.8600336993743810e+08 -1.8523038963869280e+08 -1.8436214624576423e+08 -1.8338753891846594e+08 -1.8229543391154617e+08 -1.8107643129044884e+08 -1.7971782715633038e+08 -1.7821606477328524e+08 -1.7656769014910477e+08 -1.7477651774814215e+08 -1.7285659923302251e+08 -1.7083184645591220e+08 -1.6874777651611331e+08 -1.6667480176080075e+08 -1.6471067139596525e+08 -1.6301329745464900e+08 -1.6179321410132679e+08 -1.6135733028963071e+08 -1.6214275000413853e+08 -1.6479428557160044e+08 -1.7028855995009226e+08 -1.8017341805855170e+08 -1.9703232531493956e+08 1.6925710861731154e+08 +1.0588862954318086e+00 -1.2537765157513826e+08 -1.2530716528893033e+08 -1.2519037852155915e+08 -1.2504149373436679e+08 -1.2489907344372967e+08 -1.2482119920239605e+08 -1.2483324859805030e+08 -1.2489166646225598e+08 -1.2495274231397599e+08 -1.2500822342027828e+08 -1.2506392366078080e+08 -1.2512107106507793e+08 -1.2517916773287015e+08 -1.2523851773199685e+08 -1.2529997571610218e+08 -1.2536422046331906e+08 -1.2543216830159943e+08 -1.2550522922585592e+08 -1.2558510727932538e+08 -1.2567373346606921e+08 -1.2577330348616292e+08 -1.2588618477581736e+08 -1.2601405706616546e+08 -1.2615929273716217e+08 -1.2633375928330366e+08 -1.2654662392337820e+08 -1.2679822564540656e+08 -1.2709224756443571e+08 -1.2743572783060436e+08 -1.2783728758807197e+08 -1.2830695611600666e+08 -1.2885633475650313e+08 -1.2949881704109204e+08 -1.3024983590362602e+08 -1.3112713977365540e+08 -1.3215106828145896e+08 -1.3334485632892141e+08 -1.3473492512948507e+08 -1.3635117705938625e+08 -1.3822721546094939e+08 -1.4057541909180105e+08 -1.4331835513763538e+08 -1.4651235243249318e+08 -1.5021770478883904e+08 -1.5449691806867501e+08 -1.5941163919805455e+08 -1.6501766114985251e+08 -1.7135721105527511e+08 -1.7844786555035540e+08 -1.8626649037254357e+08 -1.9473395710300091e+08 -2.0368477123230609e+08 -2.1284859681039378e+08 -2.2186453546276343e+08 -2.3027277995130864e+08 -2.3757587284069321e+08 -2.4330274204050991e+08 -2.4709801823935401e+08 -2.4878990731275973e+08 -2.4841176974787775e+08 -2.4619495804433522e+08 -2.4249918125454068e+08 -2.3775620021853900e+08 -2.3238708651352069e+08 -2.2677494810513374e+08 -2.2123151045110628e+08 -2.1598500501497242e+08 -2.1120676659692180e+08 -2.0699308250417316e+08 -2.0339355784266964e+08 -2.0042734385184300e+08 -1.9805957870546344e+08 -1.9624301620595047e+08 -1.9490296919800112e+08 -1.9393977135070515e+08 -1.9326307916428757e+08 -1.9277289434165749e+08 -1.9238995390282881e+08 -1.9206221759217164e+08 -1.9184139405834702e+08 -1.9162188846447304e+08 -1.9139940490557402e+08 -1.9116692611211026e+08 -1.9092726322368264e+08 -1.9067645744822550e+08 -1.9040773951508275e+08 -1.9011924174792823e+08 -1.8981043042181644e+08 -1.8947560843870953e+08 -1.8911032671510538e+08 -1.8870917939052382e+08 -1.8826607608772036e+08 -1.8777530145435989e+08 -1.8722287004269910e+08 -1.8660916163537002e+08 -1.8592098877618727e+08 -1.8514835357132778e+08 -1.8428049743031657e+08 -1.8330632442337567e+08 -1.8221470573407242e+08 -1.8099625670219269e+08 -1.7963822397903797e+08 -1.7813712940090066e+08 -1.7648948746901906e+08 -1.7469911096041879e+08 -1.7278004530574742e+08 -1.7075619176402295e+08 -1.6867304727849862e+08 -1.6660100323186833e+08 -1.6463771496633428e+08 -1.6294109531232199e+08 -1.6172155480966538e+08 -1.6128587641282895e+08 -1.6207095083346063e+08 -1.6472130955840704e+08 -1.7021314809581599e+08 -1.8009364068895191e+08 -1.9694503820564434e+08 1.7035958922512835e+08 +1.0638546182060666e+00 -1.2633022613854310e+08 -1.2625981801901545e+08 -1.2614317986501256e+08 -1.2599449197692248e+08 -1.2585227072193849e+08 -1.2577453122937386e+08 -1.2578661928505799e+08 -1.2584503008658378e+08 -1.2590610630603978e+08 -1.2596160809623760e+08 -1.2601734602672441e+08 -1.2607454970437089e+08 -1.2613272580831230e+08 -1.2619218229867187e+08 -1.2625377795974024e+08 -1.2631819663726231e+08 -1.2638636079316966e+08 -1.2645968713925792e+08 -1.2653988792486429e+08 -1.2662890351772255e+08 -1.2672894084702812e+08 -1.2684238090116671e+08 -1.2697092269161679e+08 -1.2711697216492391e+08 -1.2729242932757306e+08 -1.2750647718672633e+08 -1.2775947731693694e+08 -1.2805514671869043e+08 -1.2840056426298940e+08 -1.2880439815922756e+08 -1.2927673168150812e+08 -1.2982922779851608e+08 -1.3047534994757445e+08 -1.3123060980357103e+08 -1.3211284381787835e+08 -1.3314248885059114e+08 -1.3434288577069801e+08 -1.3574056908632049e+08 -1.3736555927890357e+08 -1.3925157808029494e+08 -1.4161201730692530e+08 -1.4436886769876119e+08 -1.4757852816874641e+08 -1.5130128345850816e+08 -1.5559950356555837e+08 -1.6053450681793946e+08 -1.6616147736017889e+08 -1.7252164386034280e+08 -1.7963107203830376e+08 -1.8746448473239955e+08 -1.9593994641111264e+08 -2.0488848073539692e+08 -2.1403587164418793e+08 -2.2301767117226362e+08 -2.3137148644972813e+08 -2.3859922038085681e+08 -2.4423167655883458e+08 -2.4791791540287444e+08 -2.4949242609407750e+08 -2.4899543106720209e+08 -2.4666456492588574e+08 -2.4286421464093816e+08 -2.3802900012936687e+08 -2.3258101838570482e+08 -2.2690315810628316e+08 -2.2130608588886455e+08 -2.1601652340466899e+08 -2.1120428059976858e+08 -2.0696416097522834e+08 -2.0334442648398957e+08 -2.0036315058992162e+08 -1.9798445452726889e+08 -1.9616029185666296e+08 -1.9481523548914853e+08 -1.9384896801342413e+08 -1.9317061386616302e+08 -1.9267964546380946e+08 -1.9229641165154296e+08 -1.9196865137483174e+08 -1.9174789061603126e+08 -1.9152847591033876e+08 -1.9130609697717574e+08 -1.9107373232075763e+08 -1.9083418859570244e+08 -1.9058351964877522e+08 -1.9031490053771323e+08 -1.9002654632787508e+08 -1.8971788845044202e+08 -1.8938323258171555e+08 -1.8901813180361962e+08 -1.8861718289062539e+08 -1.8817429843103486e+08 -1.8768377748533133e+08 -1.8713158371041766e+08 -1.8651817733988211e+08 -1.8583034279521000e+08 -1.8505808705211848e+08 -1.8419065676362598e+08 -1.8321696140345800e+08 -1.8212587757861480e+08 -1.8090803640638071e+08 -1.7955063522951230e+08 -1.7805027520633483e+08 -1.7640343923070428e+08 -1.7461393822318098e+08 -1.7269581075798213e+08 -1.7067294643801856e+08 -1.6859082002867186e+08 -1.6651979889745310e+08 -1.6455743979137751e+08 -1.6286164986468750e+08 -1.6164270644459912e+08 -1.6120725292585212e+08 -1.6199194717335662e+08 -1.6464101121955386e+08 -1.7013016976776972e+08 -1.8000585772814965e+08 -1.9684899608606964e+08 1.7146136747916871e+08 +1.0688229409803247e+00 -1.2728335741633169e+08 -1.2721302680932550e+08 -1.2709653574899784e+08 -1.2694804511924143e+08 -1.2680602150719988e+08 -1.2672841474213345e+08 -1.2674054187685423e+08 -1.2679894562845087e+08 -1.2686002243879178e+08 -1.2691554487812012e+08 -1.2697132036222221e+08 -1.2702858012259530e+08 -1.2708683532932825e+08 -1.2714639785773441e+08 -1.2720813056592113e+08 -1.2727272237753257e+08 -1.2734110179625575e+08 -1.2741469226912795e+08 -1.2749521418761474e+08 -1.2758461724164751e+08 -1.2768511951570730e+08 -1.2779911550074241e+08 -1.2792832336604500e+08 -1.2807518243924606e+08 -1.2825162507661276e+08 -1.2846684997373217e+08 -1.2872124115544876e+08 -1.2901854929240479e+08 -1.2936589371773218e+08 -1.2977198939578696e+08 -1.3024697322384161e+08 -1.3080256934658924e+08 -1.3145231056445636e+08 -1.3221178663206264e+08 -1.3309892121643399e+08 -1.3413424741989934e+08 -1.3534121086250961e+08 -1.3674645784379759e+08 -1.3838012508302611e+08 -1.4027605037387845e+08 -1.4264862829366866e+08 -1.4541927353468361e+08 -1.4864444927086252e+08 -1.5238442378329721e+08 -1.5670142189522657e+08 -1.6165642177792114e+08 -1.6730398475438645e+08 -1.7368432476915404e+08 -1.8081197897480288e+08 -1.8865951037821478e+08 -1.9714216395407903e+08 -2.0608747932560906e+08 -2.1521737535183749e+08 -2.2416389327351034e+08 -2.3246211878875929e+08 -2.3961339811167169e+08 -2.4515049736683971e+08 -2.4872697713369367e+08 -2.5018364722895074e+08 -2.4956758964960036e+08 -2.4712268518327156e+08 -2.4321794282999170e+08 -2.3829078139201218e+08 -2.3276426974603382e+08 -2.2702103660552880e+08 -2.2137066238196477e+08 -2.1603834302104893e+08 -2.1119235618531522e+08 -2.0692602004864296e+08 -2.0328625489520353e+08 -2.0029005987980860e+08 -1.9790054364002711e+08 -1.9606886412096307e+08 -1.9471885902148497e+08 -1.9374956504083118e+08 -1.9306957930908093e+08 -1.9257784921643311e+08 -1.9219433892344868e+08 -1.9186656919022107e+08 -1.9164588102403250e+08 -1.9142656696332130e+08 -1.9120430254357430e+08 -1.9097206235473680e+08 -1.9073264844154137e+08 -1.9048212755601767e+08 -1.9021361893652469e+08 -1.8992542109824330e+08 -1.8961693038429731e+08 -1.8928245549784487e+08 -1.8891755188365325e+08 -1.8851681919071072e+08 -1.8807417324291620e+08 -1.8758392785601333e+08 -1.8703199597076601e+08 -1.8641891887031031e+08 -1.8573145317508864e+08 -1.8495961117370707e+08 -1.8409264523894209e+08 -1.8311947074084350e+08 -1.8202897020296329e+08 -1.8081179102160054e+08 -1.7945508137281156e+08 -1.7795552248332334e+08 -1.7630956554029825e+08 -1.7452101943828487e+08 -1.7260391527306584e+08 -1.7058212993067533e+08 -1.6850111398176000e+08 -1.6643120773640826e+08 -1.6446986462682068e+08 -1.6277497967412770e+08 -1.6155668742978096e+08 -1.6112147820209914e+08 -1.6190575748671848e+08 -1.6455340932010469e+08 -1.7003964435630229e+08 -1.7991008969247180e+08 -1.9674422139407617e+08 1.7256240817200717e+08 +1.0737912637545828e+00 -1.2823699999759452e+08 -1.2816674746744488e+08 -1.2805040293487161e+08 -1.2790210553355916e+08 -1.2776027891641757e+08 -1.2768280537611307e+08 -1.2769497116668783e+08 -1.2775336829520202e+08 -1.2781444553161561e+08 -1.2786998864690089e+08 -1.2792580156109425e+08 -1.2798311722349195e+08 -1.2804145115873367e+08 -1.2810111926003444e+08 -1.2816298835890435e+08 -1.2822775248543899e+08 -1.2829634608495079e+08 -1.2837019936250052e+08 -1.2845104077651465e+08 -1.2854082930282019e+08 -1.2864179411006212e+08 -1.2875634313295530e+08 -1.2888621357913584e+08 -1.2903387796869504e+08 -1.2921130083972690e+08 -1.2942769647456573e+08 -1.2968347120998798e+08 -1.2998240916830873e+08 -1.3033166988188702e+08 -1.3074001475479104e+08 -1.3121763392934214e+08 -1.3177631226939982e+08 -1.3242965138702981e+08 -1.3319331844617540e+08 -1.3408532351262566e+08 -1.3512629493073300e+08 -1.3633978184094024e+08 -1.3775254081483701e+08 -1.3939482292341611e+08 -1.4130057967380908e+08 -1.4368519797744131e+08 -1.4646951692463228e+08 -1.4971005810107926e+08 -1.5346706591090864e+08 -1.5780261067315075e+08 -1.6277731884492683e+08 -1.6844511496743605e+08 -1.7484518209308642e+08 -1.8199051133584750e+08 -1.8985148923948053e+08 -1.9834052935940105e+08 -2.0728168568114895e+08 -2.1639302772341371e+08 -2.2530312539210302e+08 -2.3354460756333441e+08 -2.4061834666062075e+08 -2.4605915752877015e+08 -2.4952517017808795e+08 -2.5086355102788314e+08 -2.5012823804178354e+08 -2.4756932148488802e+08 -2.4356037621035802e+08 -2.3854155984352663e+08 -2.3293685998797131e+08 -2.2712860512330678e+08 -2.2142526258354345e+08 -2.1605048701098898e+08 -2.1117101661501688e+08 -2.0687868289900291e+08 -2.0321906607318649e+08 -2.0020809451689890e+08 -1.9780786865069658e+08 -1.9596875544719130e+08 -1.9461386211963812e+08 -1.9364158466445854e+08 -1.9295999765556324e+08 -1.9246752771036410e+08 -1.9208375778816453e+08 -1.9175599307092527e+08 -1.9153538729013935e+08 -1.9131618360595557e+08 -1.9109404356194550e+08 -1.9086193814417022e+08 -1.9062266466394234e+08 -1.9037230304322210e+08 -1.9010391655504027e+08 -1.8981588786919817e+08 -1.8950757799813360e+08 -1.8917329892309093e+08 -1.8880860864940065e+08 -1.8840810993889737e+08 -1.8796572212067232e+08 -1.8747577410667050e+08 -1.8692412830146238e+08 -1.8631140763407788e+08 -1.8562434124435759e+08 -1.8485294717553294e+08 -1.8398648399649817e+08 -1.8301387346393728e+08 -1.8192400451024157e+08 -1.8070754131086400e+08 -1.7935158301693344e+08 -1.7785289166752928e+08 -1.7620788664424327e+08 -1.7442037464699233e+08 -1.7250437867139640e+08 -1.7048376183037949e+08 -1.6840394848721418e+08 -1.6633524886013815e+08 -1.6437500836010987e+08 -1.6268110343358850e+08 -1.6146351631765348e+08 -1.6102857074368382e+08 -1.6181240036564896e+08 -1.6445852275636968e+08 -1.6994159138789555e+08 -1.7980635724117574e+08 -1.9663073672374341e+08 1.7366267634311983e+08 +1.0787595865288409e+00 -1.2919111057792608e+08 -1.2912093388703214e+08 -1.2900473587465411e+08 -1.2885663200461589e+08 -1.2871500057229544e+08 -1.2863765821615778e+08 -1.2864986222182241e+08 -1.2870825274792162e+08 -1.2876933051047094e+08 -1.2882489429911514e+08 -1.2888074452878329e+08 -1.2893811589592859e+08 -1.2899652815630451e+08 -1.2905630134849443e+08 -1.2911830615730910e+08 -1.2918324175100406e+08 -1.2925204842572024e+08 -1.2932616315626387e+08 -1.2940732239171623e+08 -1.2949749435757728e+08 -1.2959891923944032e+08 -1.2971401834750888e+08 -1.2984454781280154e+08 -1.2999301315419511e+08 -1.3017141091872595e+08 -1.3038897087240802e+08 -1.3064612152306190e+08 -1.3094668022294833e+08 -1.3129784643736714e+08 -1.3170842768860966e+08 -1.3218866698110342e+08 -1.3275040943318161e+08 -1.3340732490957941e+08 -1.3417515730372284e+08 -1.3507200225251305e+08 -1.3611858232969245e+08 -1.3733854895130897e+08 -1.3875876742475653e+08 -1.4040960126850072e+08 -1.4232511333396482e+08 -1.4472167231374940e+08 -1.4751954218778995e+08 -1.5077529707495156e+08 -1.5454915005825701e+08 -1.5890300760682252e+08 -1.6389713290595931e+08 -1.6958479979280624e+08 -1.7600414435154217e+08 -1.8316659436835581e+08 -1.9104034359783673e+08 -1.9953496270457557e+08 -2.0847101904362297e+08 -2.1756274923476976e+08 -2.2643529195860857e+08 -2.3461888427266341e+08 -2.4161400761978957e+08 -2.4695761108275309e+08 -2.5031246221451333e+08 -2.5153211864698827e+08 -2.5067736952404481e+08 -2.4800447711002079e+08 -2.4389152566747051e+08 -2.3878135172175550e+08 -2.3309880882983819e+08 -2.2722588544820803e+08 -2.2146990937537250e+08 -2.1605297872361964e+08 -2.1114028533521238e+08 -2.0682217287239909e+08 -2.0314288317934951e+08 -2.0011727745717674e+08 -1.9770645232411617e+08 -1.9585998843956223e+08 -1.9450026726198098e+08 -1.9352504926934141e+08 -1.9284189122132531e+08 -1.9234870320890495e+08 -1.9196469046744934e+08 -1.9163694520209736e+08 -1.9141643157388720e+08 -1.9119734797251174e+08 -1.9097534214044261e+08 -1.9074338177038527e+08 -1.9050425931659570e+08 -1.9025406813482761e+08 -1.8998581538775617e+08 -1.8969796860196403e+08 -1.8938985321686646e+08 -1.8905578474403989e+08 -1.8869132394489929e+08 -1.8829107693274876e+08 -1.8784896681045926e+08 -1.8735933792634451e+08 -1.8680800232938159e+08 -1.8619566518695420e+08 -1.8550902847899836e+08 -1.8473811644427931e+08 -1.8387219432257158e+08 -1.8290019074642542e+08 -1.8181100154777914e+08 -1.8059530818008527e+08 -1.7924016091227013e+08 -1.7774240333592775e+08 -1.7609842292911288e+08 -1.7431202402880585e+08 -1.7239722091115633e+08 -1.7037786186130977e+08 -1.6829934302857894e+08 -1.6623194151200536e+08 -1.6427289000879073e+08 -1.6258003996415943e+08 -1.6136321178874421e+08 -1.6092854918051228e+08 -1.6171189453063706e+08 -1.6435637055510715e+08 -1.6983603052381620e+08 -1.7969468117659166e+08 -1.9650856482628664e+08 1.7476213727820653e+08 +1.0837279093030989e+00 -1.3014564332805473e+08 -1.3007554157273152e+08 -1.2995948802637236e+08 -1.2981157587508690e+08 -1.2967013916404241e+08 -1.2959292772227357e+08 -1.2960516965144233e+08 -1.2966355366528097e+08 -1.2972463229216750e+08 -1.2978021674530208e+08 -1.2983610416633953e+08 -1.2989353101148264e+08 -1.2995202118053038e+08 -1.3001189895793985e+08 -1.3007403877590078e+08 -1.3013914495703502e+08 -1.3020816357905053e+08 -1.3028253838010278e+08 -1.3036401372642972e+08 -1.3045456705557345e+08 -1.3055644950692783e+08 -1.3067209568810597e+08 -1.3080328054294969e+08 -1.3095254239107919e+08 -1.3113190961013831e+08 -1.3135062734539720e+08 -1.3160914613259567e+08 -1.3191131632948165e+08 -1.3226437706284365e+08 -1.3267718164759859e+08 -1.3316002556064759e+08 -1.3372481370396028e+08 -1.3438528362756267e+08 -1.3515725526553974e+08 -1.3605890898721740e+08 -1.3711106057102031e+08 -1.3833746244914886e+08 -1.3976508711292520e+08 -1.4142440860584933e+08 -1.4334959873331234e+08 -1.4575799729074779e+08 -1.4856929368619707e+08 -1.5184010866332552e+08 -1.5563061651522395e+08 -1.6000255049822393e+08 -1.6501579897259396e+08 -1.7072297118522286e+08 -1.7716114027508703e+08 -1.8434015359477663e+08 -1.9222599609088472e+08 -2.0072538452048546e+08 -2.0965539922113591e+08 -2.1872646104894406e+08 -2.2756031820804176e+08 -2.3568488131584555e+08 -2.4260032354104057e+08 -2.4784581303629717e+08 -2.5108882184620374e+08 -2.5218933208041218e+08 -2.5121497810074624e+08 -2.4842815594234067e+08 -2.4421140257842124e+08 -2.3901017366029152e+08 -2.3325013631093606e+08 -2.2731289963460183e+08 -2.2150462586572328e+08 -2.1604584170722678e+08 -2.1110018597390684e+08 -2.0675651348689410e+08 -2.0305772953971452e+08 -2.0001763181580970e+08 -1.9759631758129397e+08 -1.9574258585690325e+08 -1.9437809708137265e+08 -1.9339998139345518e+08 -1.9271528247414449e+08 -1.9222139812743998e+08 -1.9183715933467838e+08 -1.9150944791999596e+08 -1.9128903618593016e+08 -1.9107008234817487e+08 -1.9084822053833729e+08 -1.9061641546568853e+08 -1.9037745460364261e+08 -1.9012744500509843e+08 -1.8985933757859671e+08 -1.8957168540671429e+08 -1.8926377811535373e+08 -1.8892993499629217e+08 -1.8856571976316062e+08 -1.8816574211853296e+08 -1.8772392920724317e+08 -1.8723464115240934e+08 -1.8668363982805437e+08 -1.8607171323104632e+08 -1.8538553650094262e+08 -1.8461514051222268e+08 -1.8374979764845198e+08 -1.8277844390588918e+08 -1.8168998250641602e+08 -1.8047511267808986e+08 -1.7912083595039785e+08 -1.7762407820551637e+08 -1.7598119492031956e+08 -1.7419598790106264e+08 -1.7228246208608559e+08 -1.7026444988176566e+08 -1.6818731722181392e+08 -1.6612130506701079e+08 -1.6416352872021529e+08 -1.6247180821605211e+08 -1.6125579265103802e+08 -1.6082143226946160e+08 -1.6160425882968125e+08 -1.6424697187257519e+08 -1.6972298155919883e+08 -1.7957508244255579e+08 -1.9637772860694882e+08 1.7586075650851151e+08 +1.0886962320773570e+00 -1.3110055049176736e+08 -1.3103052552061047e+08 -1.3091461602382573e+08 -1.3076689497267494e+08 -1.3062565035557567e+08 -1.3054856897158293e+08 -1.3056084885246389e+08 -1.3061922632877336e+08 -1.3068030574763566e+08 -1.3073591088770637e+08 -1.3079183534257308e+08 -1.3084931742629845e+08 -1.3090788508814257e+08 -1.3096786691638979e+08 -1.3103014102621582e+08 -1.3109541688144483e+08 -1.3116464630194718e+08 -1.3123927975815547e+08 -1.3132106946911938e+08 -1.3141200204243083e+08 -1.3151433951150055e+08 -1.3163052969443168e+08 -1.3176236624178548e+08 -1.3191242007107772e+08 -1.3209275120729312e+08 -1.3231262006919532e+08 -1.3257249907463934e+08 -1.3287627135931571e+08 -1.3323121543617657e+08 -1.3364623008193962e+08 -1.3413166285065134e+08 -1.3469947795002607e+08 -1.3536348004031387e+08 -1.3613956439784333e+08 -1.3704599527547452e+08 -1.3810368061891392e+08 -1.3933647260345221e+08 -1.4077144933621064e+08 -1.4243919344452402e+08 -1.4437398327872097e+08 -1.4679411893251273e+08 -1.4961871582760125e+08 -1.5290443539637217e+08 -1.5671140564786777e+08 -1.6110117724776363e+08 -1.6613325218293324e+08 -1.7185956126612100e+08 -1.7831609881043625e+08 -1.8551111481711918e+08 -1.9340836971498302e+08 -2.0191171579474238e+08 -2.1083474659006575e+08 -2.1988408501810154e+08 -2.2867813017939153e+08 -2.3674253199143445e+08 -2.4357723793125835e+08 -2.4872371935782236e+08 -2.5185421859355381e+08 -2.5283517415183568e+08 -2.5174105849310285e+08 -2.4884036246187147e+08 -2.4452001880564332e+08 -2.3922804268359187e+08 -2.3339086278732947e+08 -2.2738966999916747e+08 -2.2152943538675925e+08 -2.1602909970889401e+08 -2.1105074234023625e+08 -2.0668172842949063e+08 -2.0296362864246622e+08 -1.9990918086615822e+08 -1.9747748749916464e+08 -1.9561657061182365e+08 -1.9424737436255410e+08 -1.9326640372669795e+08 -1.9258019403323728e+08 -1.9208563503207675e+08 -1.9170118691406450e+08 -1.9137352371116963e+08 -1.9115322358706757e+08 -1.9093440916782111e+08 -1.9071270116474083e+08 -1.9048106161155754e+08 -1.9024227287856945e+08 -1.8999245597783786e+08 -1.8972450542130190e+08 -1.8943706054316643e+08 -1.8912937491655213e+08 -1.8879577186367238e+08 -1.8843181824521688e+08 -1.8803212759021589e+08 -1.8759063135253456e+08 -1.8710170576855686e+08 -1.8655106271806973e+08 -1.8593957361504650e+08 -1.8525388707829696e+08 -1.8448404105675441e+08 -1.8361931554967660e+08 -1.8264865440421584e+08 -1.8156096871977678e+08 -1.8034697599523538e+08 -1.7899362916405037e+08 -1.7749793713328037e+08 -1.7585622328149900e+08 -1.7407228671741104e+08 -1.7216012242540640e+08 -1.7014354588400742e+08 -1.6806789081478649e+08 -1.6600335902975184e+08 -1.6404694377045578e+08 -1.6235642726660144e+08 -1.6114127783938545e+08 -1.6070723889369461e+08 -1.6148951223787883e+08 -1.6413034599422571e+08 -1.6960246442271048e+08 -1.7944758212425366e+08 -1.9623825112569782e+08 1.7695849981014317e+08 +1.0936645548516151e+00 -1.3205579109142014e+08 -1.3198584107136437e+08 -1.3187007358841677e+08 -1.3172254296775168e+08 -1.3158148911970642e+08 -1.3150453740998922e+08 -1.3151685462788676e+08 -1.3157522584325102e+08 -1.3163630580012064e+08 -1.3169193160106054e+08 -1.3174789289784835e+08 -1.3180542998348562e+08 -1.3186407473208283e+08 -1.3192416004688521e+08 -1.3198656771678746e+08 -1.3205201230097708e+08 -1.3212145134954825e+08 -1.3219634201157096e+08 -1.3227844430585194e+08 -1.3236975396149920e+08 -1.3247254385005924e+08 -1.3258927490445495e+08 -1.3272175937976909e+08 -1.3287260058470812e+08 -1.3305389000273801e+08 -1.3327490321893319e+08 -1.3353613438532969e+08 -1.3384149918457809e+08 -1.3419831523669776e+08 -1.3461552644420218e+08 -1.3510353203707039e+08 -1.3567435504416639e+08 -1.3634186665286291e+08 -1.3712203677456114e+08 -1.3803321268577424e+08 -1.3909639345015112e+08 -1.4033552969886261e+08 -1.4177780357080561e+08 -1.4345390431829745e+08 -1.4539821440716586e+08 -1.4782998330124030e+08 -1.5066775306873226e+08 -1.5396821986633140e+08 -1.5779145790112448e+08 -1.6219882585749808e+08 -1.6724942780669558e+08 -1.7299450232561353e+08 -1.7946894912294403e+08 -1.8667940412076214e+08 -1.9458738783112109e+08 -2.0309387797538662e+08 -2.1200898209870186e+08 -2.2103554368368548e+08 -2.2978865471558481e+08 -2.3779177049368301e+08 -2.4454469524733439e+08 -2.4959128697082639e+08 -2.5260862288466454e+08 -2.5346962850528875e+08 -2.5225560613032910e+08 -2.4924110173845080e+08 -2.4481738669097194e+08 -2.3943497620257586e+08 -2.3352100892820385e+08 -2.2745621911817107e+08 -2.2154436149271134e+08 -2.1600277667099604e+08 -2.1099197842270279e+08 -2.0659784155655992e+08 -2.0286060413804555e+08 -1.9979194803944758e+08 -1.9734998530900025e+08 -1.9548196576960015e+08 -1.9410812204226527e+08 -1.9312433910938609e+08 -1.9243664866806147e+08 -1.9194143663899925e+08 -1.9155679587918916e+08 -1.9122919521160012e+08 -1.9100901638749132e+08 -1.9079035101587132e+08 -1.9056880657732725e+08 -1.9033734273863012e+08 -1.9009873664347944e+08 -1.8984912352490669e+08 -1.8958134135696784e+08 -1.8929411641868460e+08 -1.8898666599141139e+08 -1.8865331767763010e+08 -1.8828964167924187e+08 -1.8789025558867347e+08 -1.8744909543531707e+08 -1.8696055390539816e+08 -1.8641029306566679e+08 -1.8579926833255005e+08 -1.8511410212369737e+08 -1.8434483989914045e+08 -1.8348076974523512e+08 -1.8251084384521383e+08 -1.8142398166306612e+08 -1.8021091946282485e+08 -1.7885856172526172e+08 -1.7736400111404988e+08 -1.7572352881356353e+08 -1.7394094106789306e+08 -1.7203022229258618e+08 -1.7001516999269772e+08 -1.6794108368722823e+08 -1.6587812303534752e+08 -1.6392315456392574e+08 -1.6223391632009897e+08 -1.6101968641399136e+08 -1.6058598806182429e+08 -1.6136767385630330e+08 -1.6400651233353087e+08 -1.6947449917518362e+08 -1.7931220144660038e+08 -1.9609015559577468e+08 1.7805533320339105e+08 +1.0986328776258731e+00 -1.3301131755011700e+08 -1.3294144065794809e+08 -1.3282581663127506e+08 -1.3267847316818297e+08 -1.3253761027625665e+08 -1.3246078749780372e+08 -1.3247314158095224e+08 -1.3253150687324634e+08 -1.3259258743106028e+08 -1.3264823373807868e+08 -1.3270423167900625e+08 -1.3276182351780176e+08 -1.3282054495902659e+08 -1.3288073316989113e+08 -1.3294327365350439e+08 -1.3300888599314092e+08 -1.3307853347672667e+08 -1.3315367986088197e+08 -1.3323609292208779e+08 -1.3332777745670974e+08 -1.3343101711916400e+08 -1.3354828585650145e+08 -1.3368141442847818e+08 -1.3383303832355452e+08 -1.3401528029017523e+08 -1.3423743097159988e+08 -1.3450000610297400e+08 -1.3480695368022159e+08 -1.3516563014721271e+08 -1.3558502419124281e+08 -1.3607558631117427e+08 -1.3664939786598173e+08 -1.3732039597876987e+08 -1.3810462447985578e+08 -1.3902051279893011e+08 -1.4008915005632171e+08 -1.4133458403810865e+08 -1.4278409931488612e+08 -1.4446848978784126e+08 -1.4642223958865628e+08 -1.4886553650040427e+08 -1.5171634991761640e+08 -1.5503140473013532e+08 -1.5887071380286869e+08 -1.6329543443490735e+08 -1.6836426124850360e+08 -1.7412772682766485e+08 -1.8061962060191211e+08 -1.8784494787794647e+08 -1.9576297416645131e+08 -2.0427179297386926e+08 -2.1317802726952529e+08 -2.2218076027909592e+08 -2.3089181946273586e+08 -2.3883253191075465e+08 -2.4550264089217806e+08 -2.5044847374796841e+08 -2.5335200604977131e+08 -2.5409267959801057e+08 -2.5275861714286989e+08 -2.4963037942453822e+08 -2.4510351904872245e+08 -2.3963099200876421e+08 -2.3364059571268663e+08 -2.2751256982419428e+08 -2.2154942795692363e+08 -2.1596689673116082e+08 -2.1092391838769796e+08 -2.0650487689100400e+08 -2.0274867983696520e+08 -1.9966595692261744e+08 -1.9721383439574227e+08 -1.9533879454764530e+08 -1.9396036320767847e+08 -1.9297381053207517e+08 -1.9228466929743081e+08 -1.9178882581332630e+08 -1.9140400905228159e+08 -1.9107648520591217e+08 -1.9085643734562939e+08 -1.9063793062486419e+08 -1.9041655948234650e+08 -1.9018528152508944e+08 -1.8994686854822916e+08 -1.8969747026601177e+08 -1.8942986797453311e+08 -1.8914287558756152e+08 -1.8883567385783383e+08 -1.8850259491584766e+08 -1.8813921249956709e+08 -1.8774014850055686e+08 -1.8729934378936645e+08 -1.8681120783770001e+08 -1.8626135308148611e+08 -1.8565081952165347e+08 -1.8496620369302371e+08 -1.8419755900386259e+08 -1.8333418209648687e+08 -1.8236503397457474e+08 -1.8127904295267531e+08 -1.8006696455195829e+08 -1.7871565494532177e+08 -1.7722229128097540e+08 -1.7558313245382962e+08 -1.7380197167719528e+08 -1.7189278218480632e+08 -1.6987934246508369e+08 -1.6780691584873605e+08 -1.6574561684708920e+08 -1.6379218063207749e+08 -1.6210429470663869e+08 -1.6089103756028578e+08 -1.6045769890717015e+08 -1.6123876291129890e+08 -1.6387549043147555e+08 -1.6933910600900954e+08 -1.7916896177425790e+08 -1.9593346538219211e+08 1.7915122295204246e+08 +1.1036012004001312e+00 -1.3396708401309554e+08 -1.3389728300974679e+08 -1.3378179891834289e+08 -1.3363464236108701e+08 -1.3349396863660258e+08 -1.3341727342423938e+08 -1.3342966477179816e+08 -1.3348802409568357e+08 -1.3354910556293347e+08 -1.3360477216026084e+08 -1.3366080655644354e+08 -1.3371845286325268e+08 -1.3377725060912639e+08 -1.3383754110566883e+08 -1.3390021364129530e+08 -1.3396599273858154e+08 -1.3403584744003709e+08 -1.3411124802824056e+08 -1.3419397000538094e+08 -1.3428602717437038e+08 -1.3438971391759792e+08 -1.3450751709162086e+08 -1.3464128586193433e+08 -1.3479368768221524e+08 -1.3497687636670780e+08 -1.3520015750815833e+08 -1.3546406827024469e+08 -1.3577258872623098e+08 -1.3613311385646743e+08 -1.3655467678675753e+08 -1.3704777887225425e+08 -1.3762455930403093e+08 -1.3829902054201686e+08 -1.3908727961004800e+08 -1.4000784721037564e+08 -1.4108190144653305e+08 -1.4233358594465184e+08 -1.4379028609146363e+08 -1.4548289844334462e+08 -1.4744600632900134e+08 -1.4990072467750633e+08 -1.5276445093716264e+08 -1.5609393271326151e+08 -1.5994911396625569e+08 -1.6439094119564864e+08 -1.6947768805106866e+08 -1.7525916741292110e+08 -1.8176804286362827e+08 -1.8900767275273490e+08 -1.9693505282006428e+08 -2.0544538316925615e+08 -2.1434180420093310e+08 -2.2331965873029527e+08 -2.3198755286998409e+08 -2.3986475222110680e+08 -2.4645102120949116e+08 -2.5129523850326765e+08 -2.5408434031153265e+08 -2.5470431269231537e+08 -2.5325008835341632e+08 -2.5000820174784350e+08 -2.4537842916106459e+08 -2.3981610827080524e+08 -2.3374964442533097e+08 -2.2755874520407271e+08 -2.2154465877027127e+08 -2.1592148421907574e+08 -2.1084658657816246e+08 -2.0640285862257913e+08 -2.0262787970939419e+08 -1.9953123125843728e+08 -1.9706905829686049e+08 -1.9518708031415975e+08 -1.9380412109612587e+08 -1.9281484113433069e+08 -1.9212427898886165e+08 -1.9162782556851730e+08 -1.9124284940397930e+08 -1.9091541662610373e+08 -1.9069550936755365e+08 -1.9047717087410426e+08 -1.9025598273265535e+08 -1.9002490079618472e+08 -1.8978669138907376e+08 -1.8953751896699187e+08 -1.8927010800901452e+08 -1.8898336075049287e+08 -1.8867642117911360e+08 -1.8834362620191294e+08 -1.8798055328595445e+08 -1.8758182885772982e+08 -1.8714139889342093e+08 -1.8665368998543230e+08 -1.8610426512058404e+08 -1.8549424946367848e+08 -1.8481021398560864e+08 -1.8404222047770682e+08 -1.8317957460665521e+08 -1.8221124667928660e+08 -1.8112617434467474e+08 -1.7991513287294599e+08 -1.7856493027331194e+08 -1.7707282890378201e+08 -1.7543505527548340e+08 -1.7365539940459374e+08 -1.7174782273214585e+08 -1.6973608368921688e+08 -1.6766540743867165e+08 -1.6560586035689065e+08 -1.6365404163311759e+08 -1.6196758188182157e+08 -1.6075535058813921e+08 -1.6032239068719128e+08 -1.6110279875384751e+08 -1.6373729995555246e+08 -1.6919630524774596e+08 -1.7901788460956019e+08 -1.9576820400201678e+08 1.8024613556269705e+08 +1.1085695231743893e+00 -1.3492304672879419e+08 -1.3485331868348104e+08 -1.3473797547567809e+08 -1.3459100538702625e+08 -1.3445051961171871e+08 -1.3437395114989796e+08 -1.3438637930399561e+08 -1.3444473260946962e+08 -1.3450581508996928e+08 -1.3456150175376570e+08 -1.3461757241730085e+08 -1.3467527286173427e+08 -1.3473414651813909e+08 -1.3479453867638671e+08 -1.3485734248632360e+08 -1.3492328732266575e+08 -1.3499334799909645e+08 -1.3506900124027839e+08 -1.3515203024718711e+08 -1.3524445776575378e+08 -1.3534858884852594e+08 -1.3546692315566963e+08 -1.3560132815929565e+08 -1.3575450306045857e+08 -1.3593863253528947e+08 -1.3616303701562607e+08 -1.3642827493667024e+08 -1.3673835821002519e+08 -1.3710072006103167e+08 -1.3752443770324418e+08 -1.3802006292962372e+08 -1.3859979225826621e+08 -1.3927769287950033e+08 -1.4006995427634135e+08 -1.4099516753261268e+08 -1.4207459864943835e+08 -1.4333248576479569e+08 -1.4479631345075917e+08 -1.4649707890727991e+08 -1.4846946217240372e+08 -1.5093549402695379e+08 -1.5381200074748743e+08 -1.5715574661211112e+08 -1.6102659909358636e+08 -1.6548528446740863e+08 -1.7058964389879420e+08 -1.7638875690287662e+08 -1.8291414575480568e+08 -1.9016750570347485e+08 -1.9810354826483023e+08 -2.0661457140996435e+08 -2.1550023557060078e+08 -2.2445216365660077e+08 -2.3307578418808734e+08 -2.4088836829219013e+08 -2.4738978347915992e+08 -2.5213154098651683e+08 -2.5480559877908212e+08 -2.5530451384645441e+08 -2.5373001726956841e+08 -2.5037457550490576e+08 -2.4564213077174279e+08 -2.3999034352908692e+08 -2.3384817665292385e+08 -2.2759476859511584e+08 -2.2153007813896596e+08 -2.1586656365562689e+08 -2.1076000751159471e+08 -2.0629181110512111e+08 -2.0249822788364381e+08 -1.9938779494310775e+08 -1.9691568070150715e+08 -1.9502684658707085e+08 -1.9363941909324351e+08 -1.9264745420376578e+08 -1.9195550095731193e+08 -1.9145845906509796e+08 -1.9107334005125827e+08 -1.9074601255118313e+08 -1.9052625550529525e+08 -1.9030809478985661e+08 -1.9008709932751939e+08 -1.8985622352290830e+08 -1.8961822810839635e+08 -1.8936929253941578e+08 -1.8910208434073052e+08 -1.8881559475295401e+08 -1.8850893076367921e+08 -1.8817643430361742e+08 -1.8781368676261282e+08 -1.8741531933589077e+08 -1.8697528336993280e+08 -1.8648802291160628e+08 -1.8593905168040046e+08 -1.8532958058249009e+08 -1.8464615534247360e+08 -1.8387884656893325e+08 -1.8301696941939500e+08 -1.8204950398574239e+08 -1.8096539773433608e+08 -1.7975544617415673e+08 -1.7840640929553023e+08 -1.7691563538851896e+08 -1.7527931848620981e+08 -1.7350124524283934e+08 -1.7159536469633093e+08 -1.6958541418380094e+08 -1.6751657872525159e+08 -1.6545887358292684e+08 -1.6350875735086799e+08 -1.6182379742545792e+08 -1.6061264493063670e+08 -1.6018008278213149e+08 -1.6095980085861668e+08 -1.6359196069907874e+08 -1.6904611734455687e+08 -1.7885899159301451e+08 -1.9559439512207341e+08 1.8134003778408009e+08 +1.1135378459486474e+00 -1.3587916139893290e+08 -1.3580950607070589e+08 -1.3569430251855066e+08 -1.3554751771705350e+08 -1.3540721768997982e+08 -1.3533077478260642e+08 -1.3534324030487084e+08 -1.3540158734407187e+08 -1.3546267083806258e+08 -1.3551837740447742e+08 -1.3557448415820286e+08 -1.3563223837313941e+08 -1.3569118752286476e+08 -1.3575168070888856e+08 -1.3581461499913642e+08 -1.3588072453746754e+08 -1.3595098991885084e+08 -1.3602689423008141e+08 -1.3611022834552476e+08 -1.3620302388873702e+08 -1.3630759652127597e+08 -1.3642645860142475e+08 -1.3656149580695760e+08 -1.3671543886551398e+08 -1.3690050310653469e+08 -1.3712602368919417e+08 -1.3739258016046327e+08 -1.3770421602846986e+08 -1.3806840246803451e+08 -1.3849426042456651e+08 -1.3899239170462307e+08 -1.3957504964213088e+08 -1.4025636554330054e+08 -1.4105260060723159e+08 -1.4198242539733565e+08 -1.4306719271605349e+08 -1.4433123387069798e+08 -1.4580213097245166e+08 -1.4751097983683032e+08 -1.4949255470420876e+08 -1.5196979079263315e+08 -1.5485894402929091e+08 -1.5821678929740888e+08 -1.6210310997920108e+08 -1.6657840269322693e+08 -1.7170006462145445e+08 -1.7751642830360338e+08 -1.8405785935782030e+08 -1.9132437398786959e+08 -1.9926838535219333e+08 -2.0777928101807326e+08 -2.1665324463791609e+08 -2.2557820037267664e+08 -2.3415644347031924e+08 -2.4190331787698519e+08 -2.4831887591258574e+08 -2.5295734187607726e+08 -2.5551575543906638e+08 -2.5589326990735865e+08 -2.5419840207655340e+08 -2.5072950805406073e+08 -2.4589463808049402e+08 -2.4015371669119510e+08 -2.3393621428084370e+08 -2.2762066358332491e+08 -2.2150571048176256e+08 -2.1580215975085437e+08 -2.1066420587998146e+08 -2.0617175885631973e+08 -2.0235974864570060e+08 -1.9923567202679560e+08 -1.9675372544921085e+08 -1.9485811703331843e+08 -1.9346628073292834e+08 -1.9247167317514664e+08 -1.9177835856435367e+08 -1.9128074960969216e+08 -1.9089550425732657e+08 -1.9056829620533800e+08 -1.9034869895700175e+08 -1.9013072554332757e+08 -1.8990993241120395e+08 -1.8967927282158077e+08 -1.8944150179343429e+08 -1.8919281403984606e+08 -1.8892581999475557e+08 -1.8863960058484161e+08 -1.8833322556404388e+08 -1.8800104213327220e+08 -1.8763863579717377e+08 -1.8724064275402290e+08 -1.8680101998438114e+08 -1.8631422932154131e+08 -1.8576573540100774e+08 -1.8515683544362521e+08 -1.8447405024598804e+08 -1.8370745966616938e+08 -1.8284638881835631e+08 -1.8187982805959234e+08 -1.8079673515541136e+08 -1.7958792634164548e+08 -1.7824011373470116e+08 -1.7675073227597177e+08 -1.7511594342780232e+08 -1.7333953031676155e+08 -1.7143542897038871e+08 -1.6942735459700596e+08 -1.6736045010465083e+08 -1.6530467667063481e+08 -1.6335634769396564e+08 -1.6167296104098752e+08 -1.6046294014366886e+08 -1.6003079469477928e+08 -1.6080978882326481e+08 -1.6343949258010083e+08 -1.6888856288194790e+08 -1.7869230450137070e+08 -1.9541206255899414e+08 1.8243289660635486e+08 +1.1185061687229054e+00 -1.3683538153558430e+08 -1.3676579837976798e+08 -1.3665073332854086e+08 -1.3650413233895770e+08 -1.3636401718436071e+08 -1.3628770019846249e+08 -1.3630020191304031e+08 -1.3635854310941127e+08 -1.3641962754243055e+08 -1.3647535399011615e+08 -1.3653149668680242e+08 -1.3658930427739188e+08 -1.3664832846793428e+08 -1.3670892203781012e+08 -1.3677198599771026e+08 -1.3683825918348798e+08 -1.3690872797124785e+08 -1.3698488173946464e+08 -1.3706851900699422e+08 -1.3716168021041089e+08 -1.3726669155401838e+08 -1.3738607799113899e+08 -1.3752174330045173e+08 -1.3767644951427376e+08 -1.3786244240113756e+08 -1.3808907173480105e+08 -1.3835693801107731e+08 -1.3867011609001604e+08 -1.3903611479677594e+08 -1.3946409844796711e+08 -1.3996471843324327e+08 -1.4055028438505733e+08 -1.4123499110288635e+08 -1.4203517075005636e+08 -1.4296957245844400e+08 -1.4405963472176671e+08 -1.4532978066225892e+08 -1.4680768826872820e+08 -1.4852454992643309e+08 -1.5051523155323079e+08 -1.5300356127055484e+08 -1.5590522552626210e+08 -1.5927700371696356e+08 -1.6317858751233193e+08 -1.6767023443419087e+08 -1.7280888619771218e+08 -1.7864211480882880e+08 -1.8519911399302882e+08 -1.9247820516598597e+08 -2.0042948931566364e+08 -2.0893943579240158e+08 -2.1780075524494454e+08 -2.2669769488822821e+08 -2.3522946156975865e+08 -2.4290953961103302e+08 -2.4923824764805967e+08 -2.5377260277395400e+08 -2.5621478514888224e+08 -2.5647056850307953e+08 -2.5465524162945783e+08 -2.5107300730873594e+08 -2.4613596573715115e+08 -2.4030624702815351e+08 -2.3401377948972732e+08 -2.2763645399992722e+08 -2.2147158042825902e+08 -2.1572829740200177e+08 -2.1055920654653227e+08 -2.0604272655589482e+08 -2.0221246643662658e+08 -1.9907488671087307e+08 -1.9658321652918026e+08 -1.9468091546758050e+08 -1.9328472969562817e+08 -1.9228752162917081e+08 -1.9159287531728795e+08 -1.9109472065453681e+08 -1.9070936543029860e+08 -1.9038229095832932e+08 -1.9016286306521648e+08 -1.8994508645043224e+08 -1.8972450527258387e+08 -1.8949407195246813e+08 -1.8925653567498791e+08 -1.8900810666797748e+08 -1.8874133813944697e+08 -1.8845540137952903e+08 -1.8814932867592257e+08 -1.8781747274521312e+08 -1.8745542339976022e+08 -1.8705782207345897e+08 -1.8661863164398015e+08 -1.8613233206252429e+08 -1.8558433906330007e+08 -1.8497603675312224e+08 -1.8429392131823942e+08 -1.8352808229749233e+08 -1.8266785522609159e+08 -1.8170224120495591e+08 -1.8062020877901247e+08 -1.7941259539720285e+08 -1.7806606544903603e+08 -1.7657814124175891e+08 -1.7494495157498696e+08 -1.7317027588342470e+08 -1.7126803657752284e+08 -1.6926192570545545e+08 -1.6719704210030103e+08 -1.6514328989095619e+08 -1.6319683269545734e+08 -1.6151509255482578e+08 -1.6030625590549007e+08 -1.5987454604975021e+08 -1.6065278236767060e+08 -1.6327991564144644e+08 -1.6872366257076326e+08 -1.7851784524743718e+08 -1.9522123027753025e+08 1.8352467926043200e+08 +1.1234744914971635e+00 -1.3779166038274312e+08 -1.3772215121560895e+08 -1.3760722428864336e+08 -1.3746080471034721e+08 -1.3732087426245445e+08 -1.3724468150219813e+08 -1.3725721924900931e+08 -1.3731555489715162e+08 -1.3737664008183914e+08 -1.3743238642176327e+08 -1.3748856491385457e+08 -1.3754642547152552e+08 -1.3760552421217927e+08 -1.3766621750913292e+08 -1.3772941031008321e+08 -1.3779584607144728e+08 -1.3786651693758059e+08 -1.3794291852141860e+08 -1.3802685694906259e+08 -1.3812038140876019e+08 -1.3822582857565421e+08 -1.3834573589807984e+08 -1.3848202514687911e+08 -1.3863748943534541e+08 -1.3882440475192904e+08 -1.3905213537085432e+08 -1.3932130257092816e+08 -1.3963601231712544e+08 -1.4000381078151634e+08 -1.4043390528610593e+08 -1.4093699636840707e+08 -1.4152544943456998e+08 -1.4221352214761448e+08 -1.4301761687455538e+08 -1.4395656039320850e+08 -1.4505187576906246e+08 -1.4632807656990039e+08 -1.4781293498604059e+08 -1.4953773791062820e+08 -1.5153744039497066e+08 -1.5403675181186661e+08 -1.5695079004829711e+08 -1.6033633289877445e+08 -1.6425297268096408e+08 -1.6876071837381911e+08 -1.7391604475845003e+08 -1.7976574980409127e+08 -1.8633784022299656e+08 -1.9362892710364676e+08 -2.0158678577366808e+08 -2.1009496001095888e+08 -2.1894269182055309e+08 -2.2781057391062722e+08 -2.3629477014039412e+08 -2.4390697301040736e+08 -2.5014784874568370e+08 -2.5457728619693935e+08 -2.5690266362879759e+08 -2.5703639803435457e+08 -2.5510053544548959e+08 -2.5140508173137668e+08 -2.4636612883651692e+08 -2.4044795416880918e+08 -2.3408089475152361e+08 -2.2764216391880816e+08 -2.2142771281727916e+08 -2.1564500169239917e+08 -2.1044503454536292e+08 -2.0590473904491213e+08 -2.0205640585318038e+08 -1.9890546334849393e+08 -1.9640417807912713e+08 -1.9449526585212168e+08 -1.9309478980789751e+08 -1.9209502329209813e+08 -1.9139907486809468e+08 -1.9090039579589993e+08 -1.9051494712281957e+08 -1.9018802032293981e+08 -1.8996877131617680e+08 -1.8975120097060710e+08 -1.8953084134353921e+08 -1.8930064431913352e+08 -1.8906335312731555e+08 -1.8881519376681587e+08 -1.8854866208584288e+08 -1.8826302041266650e+08 -1.8795726333686402e+08 -1.8762574933653891e+08 -1.8726407272218978e+08 -1.8686688039688128e+08 -1.8642814139707729e+08 -1.8594235412193945e+08 -1.8539488558816168e+08 -1.8478720735709721e+08 -1.8410579132106078e+08 -1.8334073712986368e+08 -1.8248139120315802e+08 -1.8151676586290175e+08 -1.8043584091235879e+08 -1.7922947549904835e+08 -1.7788428643093887e+08 -1.7639788409447470e+08 -1.7476636453480041e+08 -1.7299350333035055e+08 -1.7109320867047381e+08 -1.6908914841441953e+08 -1.6702637536186874e+08 -1.6497473363925934e+08 -1.6303023251142007e+08 -1.6135021191534698e+08 -1.6014261201465094e+08 -1.5971135659213474e+08 -1.6048880133321670e+08 -1.6311325004853100e+08 -1.6855143724943823e+08 -1.7833563587865680e+08 -1.9502192239022648e+08 1.8461535321727917e+08 +1.1284428142714216e+00 -1.3874795721677282e+08 -1.3867851899298644e+08 -1.3856372853654957e+08 -1.3841749115399960e+08 -1.3827774441791531e+08 -1.3820167384030464e+08 -1.3821424790294909e+08 -1.3827257763589296e+08 -1.3833366350661463e+08 -1.3838942966011930e+08 -1.3844564374039263e+08 -1.3850355686208782e+08 -1.3856272963146910e+08 -1.3862352198434010e+08 -1.3868684277710447e+08 -1.3875344002394265e+08 -1.3882431161069450e+08 -1.3890095934211662e+08 -1.3898519690204945e+08 -1.3907908217504576e+08 -1.3918496222833532e+08 -1.3930538690900898e+08 -1.3944229586702022e+08 -1.3959851307134396e+08 -1.3978634450617358e+08 -1.4001516883073288e+08 -1.4028562793796360e+08 -1.4060185864824262e+08 -1.4097144417313761e+08 -1.4140363446980548e+08 -1.4190917878175402e+08 -1.4250049775848991e+08 -1.4319191128883538e+08 -1.4399989117408392e+08 -1.4494334090590680e+08 -1.4604386698959970e+08 -1.4732607205705756e+08 -1.4881782080841461e+08 -1.5055049256637195e+08 -1.5255912895366377e+08 -1.5506930882563761e+08 -1.5799558247431299e+08 -1.6139471995416489e+08 -1.6532620657425520e+08 -1.6984979332053611e+08 -1.7502147659037697e+08 -1.8088726687022075e+08 -1.8747396885620362e+08 -1.9477646797721893e+08 -2.0274020073349586e+08 -2.1124577843431801e+08 -2.2007897938065755e+08 -2.2891676484388414e+08 -2.3735230163467950e+08 -2.4489555846845683e+08 -2.5104763018260267e+08 -2.5537135557239696e+08 -2.5757936745470989e+08 -2.5759074766710302e+08 -2.5553428369726279e+08 -2.5172574032593095e+08 -2.4658514291263103e+08 -2.4057885809635690e+08 -2.3413758282655367e+08 -2.2763781765432763e+08 -2.2137413269328395e+08 -2.1555229788896221e+08 -2.1032171508015499e+08 -2.0575782132404387e+08 -2.0189159164539823e+08 -1.9872742644215572e+08 -1.9621663438438785e+08 -1.9430119229428962e+08 -1.9289648504118884e+08 -1.9189420203424001e+08 -1.9119698101246837e+08 -1.9069779877402604e+08 -1.9031227302989897e+08 -1.8998550795571569e+08 -1.8976644733900669e+08 -1.8954909270583916e+08 -1.8932896419871837e+08 -1.8909901346735975e+08 -1.8886197766645551e+08 -1.8861409882117787e+08 -1.8834781528680125e+08 -1.8806248110136682e+08 -1.8775705292600158e+08 -1.8742589524462688e+08 -1.8706460705714592e+08 -1.8666784096725965e+08 -1.8622957243185669e+08 -1.8574431862743953e+08 -1.8519739803654960e+08 -1.8459037024038890e+08 -1.8390968315429768e+08 -1.8314544696817273e+08 -1.8228701944720834e+08 -1.8132342461121970e+08 -1.8024365399870524e+08 -1.7903858893975276e+08 -1.7769479880674610e+08 -1.7620998277554247e+08 -1.7458020404543501e+08 -1.7280923417529428e+08 -1.7091096653031826e+08 -1.6890904375524610e+08 -1.6684847066432908e+08 -1.6479902843529555e+08 -1.6285656742049861e+08 -1.6117833919208869e+08 -1.5997202839070258e+08 -1.5954124618721139e+08 -1.6031786568143627e+08 -1.6293951609004769e+08 -1.6837190788239661e+08 -1.7814569857666504e+08 -1.9481416315629873e+08 1.8570488618722844e+08 +1.1334111370456796e+00 -1.3970422331118792e+08 -1.3963485635456333e+08 -1.3952020265996510e+08 -1.3937414572184864e+08 -1.3923457966439030e+08 -1.3915863272856769e+08 -1.3917124256484920e+08 -1.3922956640407449e+08 -1.3929065286994582e+08 -1.3934643867995146e+08 -1.3940268805629838e+08 -1.3946065336208230e+08 -1.3951989961944482e+08 -1.3958079034390408e+08 -1.3964423825416061e+08 -1.3971099587707135e+08 -1.3978206679770115e+08 -1.3985895898321870e+08 -1.3994349361196476e+08 -1.4003773721554339e+08 -1.4014404716934144e+08 -1.4026498562656397e+08 -1.4040250999743745e+08 -1.4055947488056853e+08 -1.4074821602749789e+08 -1.4097812636437744e+08 -1.4124986822749856e+08 -1.4156760904000285e+08 -1.4193896874169728e+08 -1.4237323954950580e+08 -1.4288121896623826e+08 -1.4347538234729800e+08 -1.4417011116202638e+08 -1.4498194586814526e+08 -1.4592986572931170e+08 -1.4703555954691881e+08 -1.4832371762227964e+08 -1.4982229545943141e+08 -1.5156276271556157e+08 -1.5358024500539601e+08 -1.5610117878125274e+08 -1.5903954775473890e+08 -1.6245210808052182e+08 -1.6639823038609204e+08 -1.7093739821081561e+08 -1.7612511813896459e+08 -1.8200659978670573e+08 -1.8860743095049912e+08 -1.9592075627601743e+08 -2.0388966059463128e+08 -2.1239181630878356e+08 -2.2120954353188911e+08 -2.3001619579133138e+08 -2.3840198930457842e+08 -2.4587523725329864e+08 -2.5193754384864047e+08 -2.5615477523096377e+08 -2.5824487405051607e+08 -2.5813360732422411e+08 -2.5595648720438161e+08 -2.5203499263200924e+08 -2.4679302393329737e+08 -2.4069897914358404e+08 -2.3418386676018694e+08 -2.2762343975783327e+08 -2.2131086530602330e+08 -2.1545021144151247e+08 -2.1018927352211931e+08 -2.0560199855259508e+08 -2.0171804871628681e+08 -1.9854080064376512e+08 -1.9602060987679556e+08 -1.9409871904704538e+08 -1.9268983951119232e+08 -1.9168508186906901e+08 -1.9098661768913376e+08 -1.9048695347118032e+08 -1.9010136698954636e+08 -1.8977477765434408e+08 -1.8955591490434563e+08 -1.8933878539956430e+08 -1.8911889755406320e+08 -1.8888920308416826e+08 -1.8865243294979620e+08 -1.8840484545660424e+08 -1.8813882133587348e+08 -1.8785380700329128e+08 -1.8754872096259162e+08 -1.8721793394729865e+08 -1.8685704983684003e+08 -1.8646072716725463e+08 -1.8602294807611862e+08 -1.8553824884532946e+08 -1.8499189960689867e+08 -1.8438554852562708e+08 -1.8370561985527143e+08 -1.8294223475365397e+08 -1.8208476279233065e+08 -1.8112224016258219e+08 -1.8004367061579365e+08 -1.7883995814525947e+08 -1.7749762483574876e+08 -1.7601445935799059e+08 -1.7438649197569057e+08 -1.7261749006514436e+08 -1.7072133156616789e+08 -1.6872163288636947e+08 -1.6666334890773895e+08 -1.6461619492140010e+08 -1.6267585782315433e+08 -1.6099949457532999e+08 -1.5979452507249802e+08 -1.5936423481945118e+08 -1.6013999549424538e+08 -1.6275873417586443e+08 -1.6818509556106651e+08 -1.7794805565605608e+08 -1.9459797698015985e+08 1.8679324611928308e+08 +1.1383794598199377e+00 -1.4066041574238229e+08 -1.4059111984484366e+08 -1.4047660098717120e+08 -1.4033072254415643e+08 -1.4019133799832395e+08 -1.4011551268606186e+08 -1.4012815814966074e+08 -1.4018647628732061e+08 -1.4024756321850628e+08 -1.4030336845077994e+08 -1.4035965275638723e+08 -1.4041766989457181e+08 -1.4047698908855331e+08 -1.4053797748920304e+08 -1.4060155161292261e+08 -1.4066846848236102e+08 -1.4073973732195538e+08 -1.4081687224351019e+08 -1.4090170184180659e+08 -1.4099630125364667e+08 -1.4110303807340410e+08 -1.4122448667085001e+08 -1.4136262209237236e+08 -1.4152032933992535e+08 -1.4170997369838065e+08 -1.4194096224123681e+08 -1.4221397757477763e+08 -1.4253321746969280e+08 -1.4290633827844471e+08 -1.4334267409836081e+08 -1.4385307023824611e+08 -1.4445005621629134e+08 -1.4514807442961335e+08 -1.4596373320540899e+08 -1.4691608662752256e+08 -1.4802690463861197e+08 -1.4932096380183956e+08 -1.5082630870479229e+08 -1.5257449722788131e+08 -1.5460073638028404e+08 -1.5713230821159273e+08 -1.6008263091475478e+08 -1.6350844056412527e+08 -1.6746898541832104e+08 -1.7202347211343068e+08 -1.7722690601279008e+08 -1.8312368253546178e+08 -1.8973815781733006e+08 -1.9706172080688173e+08 -2.0503509215233317e+08 -2.1353299936856821e+08 -2.2233431047246322e+08 -2.3110879555486768e+08 -2.3944376719867322e+08 -2.4684595150458908e+08 -2.5281754254153019e+08 -2.5692751039965779e+08 -2.5889916168107200e+08 -2.5866496767941183e+08 -2.5636714742750308e+08 -2.5233284871863371e+08 -2.4698978829511774e+08 -2.4080833798876736e+08 -2.3421976987822056e+08 -2.2759905501584694e+08 -2.2123793610739458e+08 -2.1533876797985166e+08 -2.1004773540896937e+08 -2.0543729604707482e+08 -2.0153580211988589e+08 -1.9834561075255623e+08 -1.9581612913333818e+08 -1.9388787050720623e+08 -1.9247487747601113e+08 -1.9146768695287514e+08 -1.9076800897843608e+08 -1.9026788391117239e+08 -1.8988225298067939e+08 -1.8955585335801134e+08 -1.8933719792406774e+08 -1.8912030293613672e+08 -1.8890066526592946e+08 -1.8867123699702102e+08 -1.8843474277472013e+08 -1.8818745743877026e+08 -1.8792170396647680e+08 -1.8763702181572393e+08 -1.8733229110530990e+08 -1.8700188906133157e+08 -1.8664142463257617e+08 -1.8624556251783198e+08 -1.8580829179544032e+08 -1.8532416817954051e+08 -1.8477841363593069e+08 -1.8417276547262514e+08 -1.8349362459788728e+08 -1.8273112356409484e+08 -1.8187464420753077e+08 -1.8091323536528277e+08 -1.7983591347513112e+08 -1.7863360567500341e+08 -1.7729278690892521e+08 -1.7581133604541242e+08 -1.7418525032392573e+08 -1.7241829277486917e+08 -1.7052432531371221e+08 -1.6852693709106532e+08 -1.6647103111576709e+08 -1.6442625386283520e+08 -1.6248812424068290e+08 -1.6081369837464657e+08 -1.5961012221772003e+08 -1.5918034259172675e+08 -1.5995521097220787e+08 -1.6257092483722165e+08 -1.6799102150071508e+08 -1.7774272956395105e+08 -1.9437338841097593e+08 1.8788040120042142e+08 +1.1433477825941958e+00 -1.4161648615795156e+08 -1.4154726245838729e+08 -1.4143287826241797e+08 -1.4128717769510475e+08 -1.4114797231526726e+08 -1.4107226849351647e+08 -1.4108494895587707e+08 -1.4114326193471035e+08 -1.4120434950168565e+08 -1.4126017393243480e+08 -1.4131649276625267e+08 -1.4137456140000546e+08 -1.4143395297102258e+08 -1.4149503834253883e+08 -1.4155873774405220e+08 -1.4162581270829961e+08 -1.4169727802615368e+08 -1.4177465394078445e+08 -1.4185977637420100e+08 -1.4195472903199789e+08 -1.4206188963485596e+08 -1.4218384468181726e+08 -1.4232258672635943e+08 -1.4248103094645655e+08 -1.4267157192191023e+08 -1.4290363075196216e+08 -1.4317791013681528e+08 -1.4349863793682617e+08 -1.4387350659802753e+08 -1.4431189171362215e+08 -1.4482468593997830e+08 -1.4542447240793112e+08 -1.4612575378238690e+08 -1.4694520546499920e+08 -1.4790195539781389e+08 -1.4901785349855945e+08 -1.5031776117226660e+08 -1.5182981035467377e+08 -1.5358564502297869e+08 -1.5562055096557304e+08 -1.5816264371521640e+08 -1.6112477705704471e+08 -1.6456366078372097e+08 -1.6853841308320183e+08 -1.7310795423140153e+08 -1.7832677698588800e+08 -1.8423844930403739e+08 -1.9086608102422628e+08 -1.9819929069678336e+08 -2.0617642260058546e+08 -2.1466925383930689e+08 -2.2345320699507833e+08 -2.3219449363654834e+08 -2.4047757016202220e+08 -2.4780764423071292e+08 -2.5368757996117669e+08 -2.5768952719689938e+08 -2.5954220944448408e+08 -2.5918482014806551e+08 -2.5676626646063203e+08 -2.5261931917790326e+08 -2.4717545281818172e+08 -2.4090695565152782e+08 -2.3424531578603619e+08 -2.2756468844721469e+08 -2.2115537074982238e+08 -2.1521799331340715e+08 -2.0989712644355893e+08 -2.0526373927992740e+08 -2.0134487706124690e+08 -1.9814188171501219e+08 -1.9560321687614587e+08 -1.9366867121461445e+08 -1.9225162333623862e+08 -1.9124204158273399e+08 -1.9054117910208055e+08 -1.9004061425862494e+08 -1.8965495512243083e+08 -1.8932875914592680e+08 -1.8911032044953576e+08 -1.8889366933983523e+08 -1.8867429133062544e+08 -1.8844513917285553e+08 -1.8820893107793081e+08 -1.8796195867244825e+08 -1.8769648705051854e+08 -1.8741214937452602e+08 -1.8710778715135339e+08 -1.8677778434165418e+08 -1.8641775515351167e+08 -1.8602237067787069e+08 -1.8558562719296008e+08 -1.8510210017100304e+08 -1.8455696359639269e+08 -1.8395204447725567e+08 -1.8327372069177374e+08 -1.8251213661170399e+08 -1.8165668679664624e+08 -1.8069643320029482e+08 -1.7962040542106551e+08 -1.7841955422014192e+08 -1.7708030754808015e+08 -1.7560063517186734e+08 -1.7397650121708244e+08 -1.7221166420697707e+08 -1.7031996943488073e+08 -1.6832497777749589e+08 -1.6627153843516001e+08 -1.6422922614601091e+08 -1.6229338731450936e+08 -1.6062097101856491e+08 -1.5941884010177311e+08 -1.5898958972453773e+08 -1.5976353243406269e+08 -1.6237610872544429e+08 -1.6778970704120886e+08 -1.7752974287820452e+08 -1.9414042214159989e+08 1.8896631985490125e+08 +1.1483161053684539e+00 -1.4257239454170766e+08 -1.4250323967950353e+08 -1.4238898991856182e+08 -1.4224346609211019e+08 -1.4210443862408051e+08 -1.4202885559672827e+08 -1.4204157100507221e+08 -1.4209987811005491e+08 -1.4216096658834946e+08 -1.4221681007282040e+08 -1.4227316306303647e+08 -1.4233128284294429e+08 -1.4239074622266585e+08 -1.4245192784511238e+08 -1.4251575155913511e+08 -1.4258298344329357e+08 -1.4265464377455682e+08 -1.4273225891371068e+08 -1.4281767201337281e+08 -1.4291297531421560e+08 -1.4302055656978971e+08 -1.4314301432128885e+08 -1.4328235849587047e+08 -1.4344153421966016e+08 -1.4363296512433246e+08 -1.4386608621046111e+08 -1.4414162009440500e+08 -1.4446382446596152e+08 -1.4484042754079893e+08 -1.4528084601938853e+08 -1.4579601944130683e+08 -1.4639858399414802e+08 -1.4710310194268981e+08 -1.4792631495956412e+08 -1.4888742387325093e+08 -1.5000835739972252e+08 -1.5131406035261893e+08 -1.5283275026685262e+08 -1.5459615507298779e+08 -1.5663963670797464e+08 -1.5919213195951107e+08 -1.6216593136450011e+08 -1.6561771221267152e+08 -1.6960645490691921e+08 -1.7419078390613961e+08 -1.7942466800162590e+08 -1.8535083448934162e+08 -1.9199113239937440e+08 -1.9933339539695519e+08 -2.0731357953529349e+08 -2.1580050644018614e+08 -2.2456616048782229e+08 -2.3327322023868775e+08 -2.4150333383547029e+08 -2.4876025930629987e+08 -2.5454761070621121e+08 -2.5844079262459719e+08 -2.6017399726565164e+08 -2.5969315688046736e+08 -2.5715384702412793e+08 -2.5289441511840868e+08 -2.4735003474059764e+08 -2.4099485348840955e+08 -2.3426052836234477e+08 -2.2752036530012694e+08 -2.2106319508381656e+08 -2.1508791342868897e+08 -2.0973747249222511e+08 -2.0508135387859225e+08 -2.0114529889432439e+08 -1.9792963862310398e+08 -1.9538189797017041e+08 -1.9344114585087985e+08 -1.9202010163341460e+08 -1.9100817019649723e+08 -1.9030615242097786e+08 -1.8980516881761938e+08 -1.8941949767348209e+08 -1.8909351923630089e+08 -1.8887530667164341e+08 -1.8865890877316687e+08 -1.8843979988280490e+08 -1.8821093371673030e+08 -1.8797502193439704e+08 -1.8772837320058692e+08 -1.8746319459830585e+08 -1.8717921365346366e+08 -1.8687523303521091e+08 -1.8654564368084523e+08 -1.8618606524558896e+08 -1.8579117544249895e+08 -1.8535497800816271e+08 -1.8487206849700293e+08 -1.8432757309681877e+08 -1.8372340907044566e+08 -1.8304593158086780e+08 -1.8228529724355906e+08 -1.8143091379654574e+08 -1.8047185678208336e+08 -1.7939716943008953e+08 -1.7819782660277435e+08 -1.7686020940553570e+08 -1.7538237919972259e+08 -1.7376026691028699e+08 -1.7199762639069974e+08 -1.7010828571638873e+08 -1.6811577647715273e+08 -1.6606489213473853e+08 -1.6402513277796233e+08 -1.6209166780512983e+08 -1.6042133305381581e+08 -1.5922069911759341e+08 -1.5879199655520052e+08 -1.5956498031627354e+08 -1.6217430661093849e+08 -1.6758117364598635e+08 -1.7730911830784965e+08 -1.9389910300747293e+08 1.9005097074356169e+08 +1.1532844281427119e+00 -1.4352809292046717e+08 -1.4345900884142616e+08 -1.4334488942432892e+08 -1.4319954274331710e+08 -1.4306069203825384e+08 -1.4298522890698537e+08 -1.4299797942861181e+08 -1.4305628017893055e+08 -1.4311736946000412e+08 -1.4317323182729334e+08 -1.4322961867573452e+08 -1.4328778921554577e+08 -1.4334732382646689e+08 -1.4340860095650470e+08 -1.4347254799378100e+08 -1.4353993559793714e+08 -1.4361178945538083e+08 -1.4368964202386996e+08 -1.4377534358711338e+08 -1.4387099488733810e+08 -1.4397899361800298e+08 -1.4410195027516046e+08 -1.4424189202171549e+08 -1.4440179370349008e+08 -1.4459410775654387e+08 -1.4482828295621616e+08 -1.4510506165506625e+08 -1.4542873110841262e+08 -1.4580705497502232e+08 -1.4624949066830811e+08 -1.4676702414228141e+08 -1.4737234407815993e+08 -1.4808007166587865e+08 -1.4890701403709438e+08 -1.4987244392517099e+08 -1.5099836765624806e+08 -1.5230981200696313e+08 -1.5383507834792373e+08 -1.5560597640565634e+08 -1.5765794161605173e+08 -1.6022071968318027e+08 -1.6320603910287008e+08 -1.6667053842247358e+08 -1.7067305253258902e+08 -1.7527190062038684e+08 -1.8052051617601803e+08 -1.8646077270094648e+08 -1.9311324403425008e+08 -2.0046396468616831e+08 -2.0844649095776364e+08 -2.1692668438753459e+08 -2.2567309893678311e+08 -2.3434490626521149e+08 -2.4252099465422651e+08 -2.4970374146854478e+08 -2.5539759026867345e+08 -2.5918127456343192e+08 -2.6079450588800511e+08 -2.6018997075502887e+08 -2.5752989245752737e+08 -2.5315814815929329e+08 -2.4751355171374756e+08 -2.4107205318918601e+08 -2.3426543175886318e+08 -2.2746611105025312e+08 -2.2096143515654889e+08 -2.1494855448782498e+08 -2.0956879958390608e+08 -2.0489016562406230e+08 -2.0093709312114489e+08 -1.9770890671334577e+08 -1.9515219742322040e+08 -1.9320531923899618e+08 -1.9178033704899928e+08 -1.9076609737140253e+08 -1.9006295343548089e+08 -1.8956157203086701e+08 -1.8917590503066447e+08 -1.8885015798573282e+08 -1.8863218091863394e+08 -1.8841604553713527e+08 -1.8819721519488418e+08 -1.8796864487160394e+08 -1.8773303955666572e+08 -1.8748672520316115e+08 -1.8722185075685987e+08 -1.8693823876283610e+08 -1.8663465282798609e+08 -1.8630549110707796e+08 -1.8594637889100948e+08 -1.8555200074345332e+08 -1.8511636811584896e+08 -1.8463409696946859e+08 -1.8409026588045073e+08 -1.8348688291767704e+08 -1.8281028084317285e+08 -1.8205062893901792e+08 -1.8119734857698143e+08 -1.8023952935638398e+08 -1.7916622860970777e+08 -1.7796844577560475e+08 -1.7663251526237121e+08 -1.7515659072023508e+08 -1.7353656978516105e+08 -1.7177620148043302e+08 -1.6988929606968373e+08 -1.6789935484459499e+08 -1.6585111360494834e+08 -1.6381399488609311e+08 -1.6188298659155944e+08 -1.6021480514407611e+08 -1.5901571977404556e+08 -1.5858758353702739e+08 -1.5935957517149353e+08 -1.6196553938278073e+08 -1.6736544290039909e+08 -1.7708087869080958e+08 -1.9364945598572454e+08 1.9113432276312411e+08 +1.1582527509169700e+00 -1.4448353636520341e+08 -1.4441452060698122e+08 -1.4430053350846037e+08 -1.4415536094477484e+08 -1.4401668804335409e+08 -1.4394134351177204e+08 -1.4395412881399399e+08 -1.4401242343184364e+08 -1.4407351325890091e+08 -1.4412939420407277e+08 -1.4418581466012824e+08 -1.4424403553914791e+08 -1.4430364079287085e+08 -1.4436501265389690e+08 -1.4442908201006338e+08 -1.4449662410838443e+08 -1.4456866998290178e+08 -1.4464675815718293e+08 -1.4473274594860706e+08 -1.4482874256341255e+08 -1.4493715554517868e+08 -1.4506060725494340e+08 -1.4520114195098513e+08 -1.4536176396891418e+08 -1.4555495429714027e+08 -1.4579017535645232e+08 -1.4606818905394495e+08 -1.4639331194452846e+08 -1.4677334279854462e+08 -1.4721777934458485e+08 -1.4773765347515541e+08 -1.4834570579721600e+08 -1.4905661574308413e+08 -1.4988725508335802e+08 -1.5085696746505305e+08 -1.5198783562562728e+08 -1.5330496684639162e+08 -1.5483674455723831e+08 -1.5661505810610250e+08 -1.5867541376316237e+08 -1.6124835369875649e+08 -1.6424504562393591e+08 -1.6772208308506820e+08 -1.7173814772317472e+08 -1.7635124400125778e+08 -1.8161425880137849e+08 -1.8756819876482272e+08 -1.9423234828788653e+08 -2.0159092867414430e+08 -2.0957508527798158e+08 -2.1804771539624286e+08 -2.2677395092782488e+08 -2.3540948332068884e+08 -2.4353048984666756e+08 -2.5063803631483889e+08 -2.5623747502827397e+08 -2.5991094176545456e+08 -2.6140371686737922e+08 -2.6067525536948466e+08 -2.5789440671265802e+08 -2.5341053042491099e+08 -2.4766602179684252e+08 -2.4113857677255833e+08 -2.3426005039504591e+08 -2.2740195139791331e+08 -2.2085011720941430e+08 -2.1479994282729402e+08 -2.0939113390765703e+08 -2.0469020045000255e+08 -2.0072028539089268e+08 -1.9747971136614680e+08 -1.9491414038448170e+08 -1.9296121634143636e+08 -1.9153235440399322e+08 -1.9051584782290557e+08 -1.8981160678410199e+08 -1.8930984847881755e+08 -1.8892420172852063e+08 -1.8859869988764411e+08 -1.8838096765608585e+08 -1.8816510406912500e+08 -1.8794656167589858e+08 -1.8771829701708344e+08 -1.8748300829309732e+08 -1.8723703899633092e+08 -1.8697247980932128e+08 -1.8668924894878221e+08 -1.8638607073644191e+08 -1.8605735078448907e+08 -1.8569872020708117e+08 -1.8530487064617133e+08 -1.8486982152535897e+08 -1.8438820953481841e+08 -1.8384506582406777e+08 -1.8324248981733176e+08 -1.8256679218947175e+08 -1.8180815531036943e+08 -1.8095601463919505e+08 -1.7999947430023074e+08 -1.7892760619766149e+08 -1.7773143482026681e+08 -1.7639724802859777e+08 -1.7492329245129967e+08 -1.7330543234968027e+08 -1.7154741175585768e+08 -1.6966302252957335e+08 -1.6767573465635344e+08 -1.6563022435629997e+08 -1.6359583371595427e+08 -1.6166736467056364e+08 -1.6000140806952131e+08 -1.5880392269569537e+08 -1.5837637123858434e+08 -1.5914733766828766e+08 -1.6174982804752252e+08 -1.6714253651169747e+08 -1.7684504699426135e+08 -1.9339150619413590e+08 1.9221634504549223e+08 +1.1632210736912281e+00 -1.4543867830850649e+08 -1.4536973365584055e+08 -1.4525587834500805e+08 -1.4511087858152291e+08 -1.4497238111040169e+08 -1.4489715405225331e+08 -1.4490997395657212e+08 -1.4496826271829787e+08 -1.4502935311513931e+08 -1.4508525229556796e+08 -1.4514170607642505e+08 -1.4519997686374733e+08 -1.4525965215831748e+08 -1.4532111793594843e+08 -1.4538530859825212e+08 -1.4545300393937850e+08 -1.4552524029985777e+08 -1.4560356222603315e+08 -1.4568983397860265e+08 -1.4578617318191355e+08 -1.4589499714512253e+08 -1.4601894000065807e+08 -1.4616006295951042e+08 -1.4632139961532882e+08 -1.4651545925369731e+08 -1.4675171780815008e+08 -1.4703095655701712e+08 -1.4735752108597445e+08 -1.4773924494162980e+08 -1.4818566576490119e+08 -1.4870786090670869e+08 -1.4931862232430646e+08 -1.5003268700331289e+08 -1.5086699052411795e+08 -1.5184094644725472e+08 -1.5297671271131003e+08 -1.5429947563224840e+08 -1.5583769890802813e+08 -1.5762334931962311e+08 -1.5969200129009891e+08 -1.6227498089571929e+08 -1.6528289636773664e+08 -1.6877228997664177e+08 -1.7280168236475560e+08 -1.7742875382334840e+08 -1.8270583334838632e+08 -1.8867304772595802e+08 -1.9534837778956747e+08 -2.0271421780449626e+08 -2.1069929131705570e+08 -2.1916352768331149e+08 -2.2786864564756495e+08 -2.3646688371234331e+08 -2.4453175743300071e+08 -2.5156309029946524e+08 -2.5706722224887270e+08 -2.6062976384799615e+08 -2.6200161256414145e+08 -2.6114900503550041e+08 -2.5824739434783611e+08 -2.5365157453735128e+08 -2.4780746345242751e+08 -2.4119444658214426e+08 -2.3424440895577469e+08 -2.2732791226567325e+08 -2.2072926767639610e+08 -2.1464210495596430e+08 -2.0920450181296229e+08 -2.0448148444088891e+08 -2.0049490149833336e+08 -1.9724207810424960e+08 -1.9466775214329723e+08 -1.9270886226040131e+08 -1.9127617865678492e+08 -1.9025744640419072e+08 -1.8955213724205866e+08 -1.8905002287857819e+08 -1.8866441243772796e+08 -1.8833916957184798e+08 -1.8812169148579893e+08 -1.8790610894273070e+08 -1.8768786387071431e+08 -1.8745991466788542e+08 -1.8722495262807316e+08 -1.8697933903141004e+08 -1.8671510617372045e+08 -1.8643226859241620e+08 -1.8612951110187954e+08 -1.8580124701135951e+08 -1.8544311344507679e+08 -1.8504980935061139e+08 -1.8461536237973559e+08 -1.8413443027228147e+08 -1.8359199693761373e+08 -1.8299025370022696e+08 -1.8231548946215039e+08 -1.8155790010097072e+08 -1.8070693561532921e+08 -1.7975171512059507e+08 -1.7868132556063303e+08 -1.7748681694696406e+08 -1.7615443074115604e+08 -1.7468250723744103e+08 -1.7306687723711255e+08 -1.7131127962037876e+08 -1.6942948725284091e+08 -1.6744493780982700e+08 -1.6540224601914358e+08 -1.6337067063205346e+08 -1.6144482315544561e+08 -1.5978116272589138e+08 -1.5858532862184998e+08 -1.5815838034288108e+08 -1.5892828859022498e+08 -1.6152719372872019e+08 -1.6691247630789262e+08 -1.7660164631245494e+08 -1.9312527889009866e+08 1.9329700695704982e+08 +1.1681893964654861e+00 -1.4639347842746493e+08 -1.4632460132757595e+08 -1.4621087652716121e+08 -1.4606605043194646e+08 -1.4592772550451660e+08 -1.4585261685829005e+08 -1.4586546989422688e+08 -1.4592375306001034e+08 -1.4598484404910439e+08 -1.4604076125990641e+08 -1.4609724800017363e+08 -1.4615556826473489e+08 -1.4621531298178762e+08 -1.4627687182836148e+08 -1.4634118277822864e+08 -1.4640903008634618e+08 -1.4648145537911052e+08 -1.4656000917156309e+08 -1.4664656258736047e+08 -1.4674324161205006e+08 -1.4685247324132195e+08 -1.4697690328231540e+08 -1.4711860975322476e+08 -1.4728065527337444e+08 -1.4747557716527987e+08 -1.4771286474037853e+08 -1.4799331846270666e+08 -1.4832131267763612e+08 -1.4870471536877221e+08 -1.4915310368184048e+08 -1.4967759994044381e+08 -1.5029104687104550e+08 -1.5100823831545854e+08 -1.5184617282750207e+08 -1.5282433287111241e+08 -1.5396495036487815e+08 -1.5529328917777461e+08 -1.5683789147066414e+08 -1.5863079925425854e+08 -1.6070765240728220e+08 -1.6330054824270445e+08 -1.6631953686622620e+08 -1.6982110297946677e+08 -1.7386359846917880e+08 -1.7850437001202843e+08 -1.8379517747060537e+08 -1.8977525485256535e+08 -1.9646126544273886e+08 -2.0383376285894457e+08 -2.1181903831107497e+08 -2.2027404997006181e+08 -2.2895711288559446e+08 -2.3751704044940645e+08 -2.4552473622439018e+08 -2.5247885073001078e+08 -2.5788679007309628e+08 -2.6133771128821445e+08 -2.6258817613672134e+08 -2.6161121476980323e+08 -2.5858886051962459e+08 -2.5388129361214566e+08 -2.4793789554102212e+08 -2.4123968528255492e+08 -2.3421853238873467e+08 -2.2724401979601443e+08 -2.2059891318190211e+08 -2.1447506755337223e+08 -2.0900892980664408e+08 -2.0426404383105204e+08 -2.0026096738346994e+08 -1.9699603259169629e+08 -1.9441305812842792e+08 -1.9244828223539701e+08 -1.9101183490326726e+08 -1.8999091810478541e+08 -1.8928456972075540e+08 -1.8878212008293152e+08 -1.8839656196463406e+08 -1.8807159180360693e+08 -1.8785437714448333e+08 -1.8763908486617988e+08 -1.8742114645903602e+08 -1.8719352247352746e+08 -1.8695889718014774e+08 -1.8671364989422199e+08 -1.8644975440246716e+08 -1.8616732220861390e+08 -1.8586499839933214e+08 -1.8553720421930045e+08 -1.8517958298945716e+08 -1.8478684118940049e+08 -1.8435301495420313e+08 -1.8387278339363521e+08 -1.8333108336248466e+08 -1.8273019862889138e+08 -1.8205639663492751e+08 -1.8129988718449605e+08 -1.8045013526700431e+08 -1.7949627545346662e+08 -1.7842741019386452e+08 -1.7723461549309430e+08 -1.7590408656362134e+08 -1.7443425804859510e+08 -1.7282092720451200e+08 -1.7106782760037059e+08 -1.6918871251863703e+08 -1.6720698632301524e+08 -1.6516720034274912e+08 -1.6313852711556917e+08 -1.6121538327551648e+08 -1.5955409012369949e+08 -1.5835995840558839e+08 -1.5793363164635062e+08 -1.5870244883502200e+08 -1.6129765766601965e+08 -1.6667528423646978e+08 -1.7635069986715081e+08 -1.9285079946982273e+08 1.9437627809795827e+08 +1.1731577192397442e+00 -1.4734788764054093e+08 -1.4727907824912393e+08 -1.4716548387534764e+08 -1.4702082886369967e+08 -1.4688267848034209e+08 -1.4680768599184936e+08 -1.4682057240935865e+08 -1.4687884968027782e+08 -1.4693994108853054e+08 -1.4699587626887736e+08 -1.4705239555016598e+08 -1.4711076483718753e+08 -1.4717057834242010e+08 -1.4723222938894472e+08 -1.4729665960069388e+08 -1.4736465757830995e+08 -1.4743727022547972e+08 -1.4751605396537137e+08 -1.4760288671630260e+08 -1.4769990275449708e+08 -1.4780953868954617e+08 -1.4793445190199202e+08 -1.4807673707109100e+08 -1.4823948560649604e+08 -1.4843526260448608e+08 -1.4867357061588767e+08 -1.4895522910441318e+08 -1.4928464090019420e+08 -1.4966970808069599e+08 -1.5012004688541996e+08 -1.5064682411851963e+08 -1.5126293268888050e+08 -1.5198322259090686e+08 -1.5282475450628576e+08 -1.5380707878296158e+08 -1.5495250008875319e+08 -1.5628635835047606e+08 -1.5783727237470686e+08 -1.5963735718348125e+08 -1.6172231539727274e+08 -1.6432500279036775e+08 -1.6735491274482366e+08 -1.7086846608529821e+08 -1.7492383817743468e+08 -1.7957803264667952e+08 -1.8488222900730717e+08 -1.9087475563880542e+08 -1.9757094442822224e+08 -2.0494949495945403e+08 -2.1293425591354820e+08 -2.2137921148456320e+08 -2.3003928303623211e+08 -2.3855988724407977e+08 -2.4650936582143521e+08 -2.5338526576564616e+08 -2.5869613751765344e+08 -2.6203475541564280e+08 -2.6316339153447512e+08 -2.6206188028817213e+08 -2.5891881097728762e+08 -2.5409970125155428e+08 -2.4805733731701460e+08 -2.4127431585581037e+08 -2.3418244589954850e+08 -2.2715030034848669e+08 -2.2045908053826606e+08 -2.1429885746861377e+08 -2.0880444455256742e+08 -2.0403790500367928e+08 -2.0001850912946996e+08 -1.9674160063344589e+08 -1.9415008390744862e+08 -1.9217950164358297e+08 -1.9073934837553766e+08 -1.8971628804975057e+08 -1.8900892926659867e+08 -1.8850616507965523e+08 -1.8812067525024709e+08 -1.8779599148226923e+08 -1.8757904950280821e+08 -1.8736405668203038e+08 -1.8714643425439894e+08 -1.8691914521742502e+08 -1.8668486670129102e+08 -1.8643999630384120e+08 -1.8617644918066767e+08 -1.8589443444518518e+08 -1.8559255723634818e+08 -1.8526524697264114e+08 -1.8490815335713863e+08 -1.8451599062723389e+08 -1.8408280365600291e+08 -1.8360329324171275e+08 -1.8306234937110892e+08 -1.8246234879613400e+08 -1.8178953781098765e+08 -1.8103414056423074e+08 -1.8018563748487908e+08 -1.7923317906323752e+08 -1.7816588371995887e+08 -1.7697485392296055e+08 -1.7564623878508034e+08 -1.7417856797919756e+08 -1.7256760513279891e+08 -1.7081707834430337e+08 -1.6894072072652742e+08 -1.6696190233300442e+08 -1.6492510919399837e+08 -1.6289942476479301e+08 -1.6097906637532738e+08 -1.5932021138738194e+08 -1.5812783301317781e+08 -1.5770214605836302e+08 -1.5846983941349053e+08 -1.6106124121383959e+08 -1.6643098236430815e+08 -1.7609223100524458e+08 -1.9256809346686828e+08 1.9545412830145276e+08 +1.1781260420140023e+00 -1.4830186293705380e+08 -1.4823312069251528e+08 -1.4811965642704660e+08 -1.4797517213525078e+08 -1.4783719268050325e+08 -1.4776231681988719e+08 -1.4777523694122326e+08 -1.4783350780972314e+08 -1.4789459939340979e+08 -1.4795055246828803e+08 -1.4800710389704973e+08 -1.4806552169441238e+08 -1.4812540334103486e+08 -1.4818714571334323e+08 -1.4825169414857677e+08 -1.4831984147914901e+08 -1.4839263987754339e+08 -1.4847165161240932e+08 -1.4855876134003678e+08 -1.4865611154364163e+08 -1.4876614837974328e+08 -1.4889154069628227e+08 -1.4903439968676484e+08 -1.4919784531331950e+08 -1.4939447017947644e+08 -1.4963378993403277e+08 -1.4991664285185766e+08 -1.5024745997145492e+08 -1.5063417711700472e+08 -1.5108644920510855e+08 -1.5161548702429950e+08 -1.5223423307245696e+08 -1.5295759278541014e+08 -1.5380268811979112e+08 -1.5478913627892265e+08 -1.5593931343768632e+08 -1.5727863407497990e+08 -1.5883579181144151e+08 -1.6064297244788256e+08 -1.6273593861799952e+08 -1.6534829167388362e+08 -1.6838896972607088e+08 -1.7191432339837232e+08 -1.7598234376217794e+08 -1.8064968196318489e+08 -1.8596692598658782e+08 -1.9197148580860469e+08 -1.9867734820726046e+08 -2.0606134557248694e+08 -2.1404487419868156e+08 -2.2247894196412134e+08 -2.3111508709962031e+08 -2.3959535851112977e+08 -2.4748558661309052e+08 -2.5428228441270792e+08 -2.5949522446852773e+08 -2.6272086840744519e+08 -2.6372724349065915e+08 -2.6250099799821565e+08 -2.5923725205565023e+08 -2.5430681153870115e+08 -2.4816580842260948e+08 -2.4129836159673375e+08 -2.3413617495121726e+08 -2.2704678049797133e+08 -2.2030979674573135e+08 -2.1411350171832019e+08 -2.0859107287003666e+08 -2.0380309448973721e+08 -1.9976755296232885e+08 -1.9647880817318007e+08 -1.9387885518441069e+08 -1.9190254599730727e+08 -1.9045874444063768e+08 -1.8943358149879062e+08 -1.8872524106007174e+08 -1.8822218299011132e+08 -1.8783677736866957e+08 -1.8751239364035818e+08 -1.8729573356497833e+08 -1.8708104936566094e+08 -1.8686375220303339e+08 -1.8663680781534892e+08 -1.8640288607613826e+08 -1.8615840311147949e+08 -1.8589521532600725e+08 -1.8561363008215076e+08 -1.8531221235255441e+08 -1.8498539996702680e+08 -1.8462884919583392e+08 -1.8423728225968516e+08 -1.8380475302271163e+08 -1.8332598428987747e+08 -1.8278581936596638e+08 -1.8218672852412778e+08 -1.8151493722302026e+08 -1.8076068437194562e+08 -1.7991346628727946e+08 -1.7896244984119147e+08 -1.7789676988802403e+08 -1.7670755582624313e+08 -1.7538091081945860e+08 -1.7391546024752656e+08 -1.7230693402535233e+08 -1.7055905462216145e+08 -1.6868553439632654e+08 -1.6670970809556225e+08 -1.6467599455712986e+08 -1.6265338529310170e+08 -1.6073589391357496e+08 -1.5907954775437924e+08 -1.5788897352304828e+08 -1.5746394459993067e+08 -1.5823048144931111e+08 -1.6081796584136990e+08 -1.6617959287651148e+08 -1.7582626319921592e+08 -1.9227718655213666e+08 1.9653052763313642e+08 +1.1830943647882604e+00 -1.4925535936016470e+08 -1.4918668502142593e+08 -1.4907334816864124e+08 -1.4892903416882008e+08 -1.4879122518605858e+08 -1.4871646471179008e+08 -1.4872941806491861e+08 -1.4878768267274183e+08 -1.4884877425031105e+08 -1.4890474499403811e+08 -1.4896132824356899e+08 -1.4901979397400284e+08 -1.4907974310470667e+08 -1.4914157593765879e+08 -1.4920624153881869e+08 -1.4927453688876289e+08 -1.4934751940961036e+08 -1.4942675715270892e+08 -1.4951414146888554e+08 -1.4961182294998851e+08 -1.4972225723783478e+08 -1.4984812453809604e+08 -1.4999155241055128e+08 -1.5015568912989372e+08 -1.5035315453614941e+08 -1.5059347723201376e+08 -1.5087751411403432e+08 -1.5120972414924592e+08 -1.5159807655768967e+08 -1.5205226451249534e+08 -1.5258354228438368e+08 -1.5320490136093616e+08 -1.5393130190152153e+08 -1.5477992627667332e+08 -1.5577045750703681e+08 -1.5692534202222839e+08 -1.5827006733505911e+08 -1.5983340003651261e+08 -1.6164759445854181e+08 -1.6374847050464487e+08 -1.6637036211608365e+08 -1.6942165363200217e+08 -1.7295861913780329e+08 -1.7703905763090360e+08 -1.8171925835779667e+08 -1.8704920662828359e+08 -1.9306538131832743e+08 -1.9978041052509502e+08 -2.0716924651159096e+08 -2.1515082366377550e+08 -2.2357317165743876e+08 -2.3218445668282411e+08 -2.4062338936895671e+08 -2.4845333977468711e+08 -2.5516985652219582e+08 -2.6028401167565408e+08 -2.6339602328104192e+08 -2.6427971751509425e+08 -2.6292856499153909e+08 -2.5954419066911000e+08 -2.5450263903265724e+08 -2.4826332888445967e+08 -2.4131184611011371e+08 -2.3407974525930658e+08 -2.2693348703200403e+08 -2.2015108898818782e+08 -2.1391902748524642e+08 -2.0836884173224318e+08 -2.0355963896590915e+08 -1.9950812524910134e+08 -1.9620768129334044e+08 -1.9359939780020505e+08 -1.9161744094472510e+08 -1.9017004859959981e+08 -1.8914282384478208e+08 -1.8843353041506556e+08 -1.8793019906857482e+08 -1.8754489352694252e+08 -1.8722082344290385e+08 -1.8700445446721134e+08 -1.8679008802436274e+08 -1.8657312538316968e+08 -1.8634653531512770e+08 -1.8611298032090381e+08 -1.8586889530004865e+08 -1.8560607778718242e+08 -1.8532493402995870e+08 -1.8502398861817673e+08 -1.8469768802861568e+08 -1.8434169528409237e+08 -1.8395074081237686e+08 -1.8351888772179550e+08 -1.8304088114053348e+08 -1.8250151787852505e+08 -1.8190336226378953e+08 -1.8123261923155037e+08 -1.8047954286675364e+08 -1.7963364581990972e+08 -1.7868411180511749e+08 -1.7762009257274774e+08 -1.7643274491747117e+08 -1.7510812620451802e+08 -1.7364495819421148e+08 -1.7203893700690961e+08 -1.7029377932419720e+08 -1.6842317616643256e+08 -1.6645042598423818e+08 -1.6441987853239051e+08 -1.6240043052887967e+08 -1.6048588746245521e+08 -1.5883212057440937e+08 -1.5764340112527367e+08 -1.5721904840362692e+08 -1.5798439617733231e+08 -1.6056785313100904e+08 -1.6592113807510766e+08 -1.7555282004557693e+08 -1.9197810453167689e+08 1.9760544639027452e+08 +1.1880626875625184e+00 -1.5020833183194837e+08 -1.5013972476583174e+08 -1.5002651522822464e+08 -1.4988236908143973e+08 -1.4974473063723752e+08 -1.4967008485726967e+08 -1.4968307123720548e+08 -1.4974132969810060e+08 -1.4980242096913499e+08 -1.4985840901565906e+08 -1.4991502380307925e+08 -1.4997353685235214e+08 -1.5003355279658493e+08 -1.5009547523945922e+08 -1.5016025692481327e+08 -1.5022869894466418e+08 -1.5030186393298411e+08 -1.5038132566463494e+08 -1.5046898215030825e+08 -1.5056699198229447e+08 -1.5067782022819132e+08 -1.5080415833892828e+08 -1.5094815009183666e+08 -1.5111297183126193e+08 -1.5131127036036670e+08 -1.5155258708789131e+08 -1.5183779734103608e+08 -1.5217138773338360e+08 -1.5256136052580032e+08 -1.5301744672299445e+08 -1.5355094357046062e+08 -1.5417489094051981e+08 -1.5490430299086168e+08 -1.5575642163651949e+08 -1.5675099466903552e+08 -1.5791053750969794e+08 -1.5926060917614970e+08 -1.6083004737172762e+08 -1.6265117269909170e+08 -1.6475985957218912e+08 -1.6739116142899284e+08 -1.7045291038708106e+08 -1.7400129764068002e+08 -1.7809392232906067e+08 -1.8278670238985366e+08 -1.8812900934763658e+08 -1.9415637836021009e+08 -2.0088006541415569e+08 -2.0827312994044253e+08 -2.1625203523298523e+08 -2.2466183132713088e+08 -2.3324732400244415e+08 -2.4164391563871071e+08 -2.4941256726705757e+08 -2.5604793278571138e+08 -2.6106246074863118e+08 -2.6406019388892439e+08 -2.6482079988884744e+08 -2.6334457903830278e+08 -2.5983963430431873e+08 -2.5468719876166385e+08 -2.4834991910826889e+08 -2.4131479330684873e+08 -2.3401318279003739e+08 -2.2681044694791481e+08 -2.1998298463279054e+08 -2.1371546211683309e+08 -2.0813777826506686e+08 -2.0330756525424606e+08 -1.9924025249724618e+08 -1.9592824621303031e+08 -1.9331173773091376e+08 -1.9132421226720679e+08 -1.8987328648671851e+08 -1.8884404061350170e+08 -1.8813382277710217e+08 -1.8763023870077816e+08 -1.8724504906343827e+08 -1.8692130618635264e+08 -1.8670523747681367e+08 -1.8649119789681566e+08 -1.8627457900390247e+08 -1.8604835289504355e+08 -1.8581517458217418e+08 -1.8557149798257944e+08 -1.8530906164298022e+08 -1.8502837132977733e+08 -1.8472791103314921e+08 -1.8440213611333135e+08 -1.8404671652934045e+08 -1.8365639114004582e+08 -1.8322523254978412e+08 -1.8274800852501267e+08 -1.8220946956816241e+08 -1.8161227459369099e+08 -1.8094260832437721e+08 -1.8019074043473491e+08 -1.7934620035420576e+08 -1.7839818909811085e+08 -1.7733587577308682e+08 -1.7615044503477582e+08 -1.7482790860036933e+08 -1.7336708528203338e+08 -1.7176363732306927e+08 -1.7002127545973018e+08 -1.6815366879372117e+08 -1.6618407848875299e+08 -1.6415678333553493e+08 -1.6214058241457137e+08 -1.6022906870667106e+08 -1.5857795130879214e+08 -1.5739113712007532e+08 -1.5696747871201068e+08 -1.5773160494380665e+08 -1.6031092477796519e+08 -1.6565564037851620e+08 -1.7527192526376525e+08 -1.9167087334625709e+08 1.9867885510108632e+08 +1.1930310103367765e+00 -1.5116073480624434e+08 -1.5109219590945783e+08 -1.5097911220491049e+08 -1.5083513525314021e+08 -1.5069766550613427e+08 -1.5062313262700462e+08 -1.5063615183524701e+08 -1.5069440409228179e+08 -1.5075549480602211e+08 -1.5081149976300439e+08 -1.5086814579878992e+08 -1.5092670555996391e+08 -1.5098678762733412e+08 -1.5104879883793214e+08 -1.5111369549930313e+08 -1.5118228282313111e+08 -1.5125562859856331e+08 -1.5133531226616725e+08 -1.5142323847135010e+08 -1.5152157368936667e+08 -1.5163279235559630e+08 -1.5175959705085805e+08 -1.5190414762104055e+08 -1.5206964823421118e+08 -1.5226877237964341e+08 -1.5251107412167636e+08 -1.5279744702588114e+08 -1.5313240506742400e+08 -1.5352398318925139e+08 -1.5398194979808551e+08 -1.5451764460207361e+08 -1.5514415524637508e+08 -1.5587654915581250e+08 -1.5673212691284853e+08 -1.5773070002323449e+08 -1.5889485162783074e+08 -1.6025021070735711e+08 -1.6182568420811498e+08 -1.6365365672796574e+08 -1.6577005441847387e+08 -1.6841063701764834e+08 -1.7148268602033162e+08 -1.7504230336468419e+08 -1.7914688054246271e+08 -1.8385195478441566e+08 -1.8920627275852728e+08 -1.9524441336600092e+08 -2.0197624719734186e+08 -2.0937292837666103e+08 -2.1734844025898251e+08 -2.2574485225160873e+08 -2.3430362188501585e+08 -2.4265687384516928e+08 -2.5036321183494037e+08 -2.5691646473405719e+08 -2.6183053415197292e+08 -2.6471335491124341e+08 -2.6535047765565076e+08 -2.6374903857943243e+08 -2.6012359101491582e+08 -2.5486050621906081e+08 -2.4842559987422895e+08 -2.4130722739915803e+08 -2.3393651375595668e+08 -2.2667768745168778e+08 -2.1980551122742301e+08 -2.1350283312335828e+08 -2.0789790974557546e+08 -2.0304690032079256e+08 -1.9896396135346296e+08 -1.9564052928803697e+08 -1.9301590108662990e+08 -1.9102288587972406e+08 -1.8956848386859825e+08 -1.8853725746193388e+08 -1.8782614372314358e+08 -1.8732232740367624e+08 -1.8693726944726500e+08 -1.8661386729747236e+08 -1.8639810799141932e+08 -1.8618440435136810e+08 -1.8596813840435535e+08 -1.8574228586322409e+08 -1.8550949413627568e+08 -1.8526623640159333e+08 -1.8500419210173899e+08 -1.8472396715115902e+08 -1.8442400472645211e+08 -1.8409876930558413e+08 -1.8374393796773049e+08 -1.8335425822538111e+08 -1.8292381243037128e+08 -1.8244739130177292e+08 -1.8190969922127071e+08 -1.8131349021897435e+08 -1.8064492911573029e+08 -1.7989430158734691e+08 -1.7905115428676602e+08 -1.7810470598762929e+08 -1.7704414361212146e+08 -1.7586068013924101e+08 -1.7454028178981519e+08 -1.7308186509462565e+08 -1.7148105833917055e+08 -1.6974156615735626e+08 -1.6787703515237707e+08 -1.6591068821568120e+08 -1.6388673129682785e+08 -1.6187386300546065e+08 -1.5996545944273460e+08 -1.5831706152927166e+08 -1.5713220291780159e+08 -1.5670925687715182e+08 -1.5747212920438224e+08 -1.6004720258911425e+08 -1.6538312232118353e+08 -1.7498360269530714e+08 -1.9135551907054782e+08 1.9975072452403668e+08 +1.1979993331110346e+00 -1.5211252473897454e+08 -1.5204405283346054e+08 -1.5193109610400841e+08 -1.5178728390786377e+08 -1.5164998263235825e+08 -1.5157556327296638e+08 -1.5158861527225363e+08 -1.5164686088356611e+08 -1.5170795105148420e+08 -1.5176397253915495e+08 -1.5182064948254803e+08 -1.5187925538785148e+08 -1.5193940286465740e+08 -1.5200150199346134e+08 -1.5206651249683255e+08 -1.5213524374099323e+08 -1.5220876859803164e+08 -1.5228867211831304e+08 -1.5237686556089488e+08 -1.5247552316267177e+08 -1.5258712866701114e+08 -1.5271439566869614e+08 -1.5285949993154964e+08 -1.5302567319864470e+08 -1.5322561536566967e+08 -1.5346889299825355e+08 -1.5375641770700032e+08 -1.5409273054113317e+08 -1.5448589876302433e+08 -1.5494572774774262e+08 -1.5548359914801145e+08 -1.5611264776542753e+08 -1.5684799355253685e+08 -1.5770699487463716e+08 -1.5870952588681838e+08 -1.5987823616596332e+08 -1.6123882310422909e+08 -1.6282026100773385e+08 -1.6465499618148720e+08 -1.6677900372598261e+08 -1.6942873638178304e+08 -1.7251092666868502e+08 -1.7608158089134207e+08 -1.8019787510105577e+08 -1.8491495643578091e+08 -1.9028093567571124e+08 -1.9632942300957638e+08 -2.0306889049083099e+08 -2.1046857469379279e+08 -2.1843997052666894e+08 -2.2682216622787750e+08 -2.3535328376839706e+08 -2.4366220121601355e+08 -2.5130521700542748e+08 -2.5777540473189428e+08 -2.6258819519991589e+08 -2.6535548185171607e+08 -2.6586873861595201e+08 -2.6414194271978486e+08 -2.6039606941441521e+08 -2.5502257735649490e+08 -2.4849039233243197e+08 -2.4128917289800882e+08 -2.3384976461531618e+08 -2.2653523595474663e+08 -2.1961869649943593e+08 -2.1328116817648175e+08 -2.0764926360125142e+08 -2.0277767127401975e+08 -1.9867927860201681e+08 -1.9534455700886387e+08 -1.9271191411072850e+08 -1.9071348782861930e+08 -1.8925566664244881e+08 -1.8822250017783040e+08 -1.8751051896017265e+08 -1.8700649082412356e+08 -1.8662158027703837e+08 -1.8629853233207050e+08 -1.8608309153790313e+08 -1.8586973288568580e+08 -1.8565382905211630e+08 -1.8542835965662682e+08 -1.8519596438824731e+08 -1.8495313592809486e+08 -1.8469149449977085e+08 -1.8441174679216877e+08 -1.8411229495465398e+08 -1.8378761281742415e+08 -1.8343338476230353e+08 -1.8304436717819232e+08 -1.8261465241442713e+08 -1.8213905445560133e+08 -1.8160223175067037e+08 -1.8100703397061408e+08 -1.8033960634452900e+08 -1.7959025096082595e+08 -1.7874853213813171e+08 -1.7780368686467645e+08 -1.7674492033545461e+08 -1.7556347431398982e+08 -1.7424526967609826e+08 -1.7278932133531743e+08 -1.7119122353945005e+08 -1.6945467466272840e+08 -1.6759329823277262e+08 -1.6563027788567451e+08 -1.6360974485986111e+08 -1.6160029446919912e+08 -1.5969508157809177e+08 -1.5804947291731313e+08 -1.5686662003761119e+08 -1.5644440435980040e+08 -1.5720599052437633e+08 -1.5977670848229086e+08 -1.6510360655149865e+08 -1.7468787630363780e+08 -1.9103206791143644e+08 2.0082102564712608e+08 +1.2029676558852926e+00 -1.5306365716306552e+08 -1.5299525016994661e+08 -1.5288241995799467e+08 -1.5273877377619359e+08 -1.5260163998201388e+08 -1.5252733251920232e+08 -1.5254041624130377e+08 -1.5259865544908103e+08 -1.5265974505569556e+08 -1.5271578272518957e+08 -1.5277249015758786e+08 -1.5283114168307406e+08 -1.5289135383627889e+08 -1.5295354000778276e+08 -1.5301866319621658e+08 -1.5308753695726514e+08 -1.5316123916587171e+08 -1.5324136042653894e+08 -1.5332981859166735e+08 -1.5342879553814593e+08 -1.5354078425441512e+08 -1.5366850923203877e+08 -1.5381416200203428e+08 -1.5398100163060024e+08 -1.5418175413592902e+08 -1.5442599842915085e+08 -1.5471466397006977e+08 -1.5505231859234583e+08 -1.5544706151142129e+08 -1.5590873463213873e+08 -1.5644876102935731e+08 -1.5708032203768396e+08 -1.5781858939232448e+08 -1.5868097834875736e+08 -1.5968742463730666e+08 -1.6086064297812352e+08 -1.6222639761067185e+08 -1.6381372830652350e+08 -1.6565514077532211e+08 -1.6778665626496649e+08 -1.7044540711875981e+08 -1.7353757857925528e+08 -1.7711907492794120e+08 -1.8124684898045406e+08 -1.8597564841038817e+08 -1.9135293711885875e+08 -1.9741134421034518e+08 -2.0415793020755380e+08 -2.1156000212536654e+08 -2.1952655825527549e+08 -2.2789370557321849e+08 -2.3639624370304218e+08 -2.4465983568335631e+08 -2.5223852708605063e+08 -2.5862470597608852e+08 -2.6333540805147278e+08 -2.6598655102991232e+08 -2.6637557132047036e+08 -2.6452329122186911e+08 -2.6065707867026982e+08 -2.5517342857925344e+08 -2.4854431799883512e+08 -2.4126065460946029e+08 -2.3375296206703946e+08 -2.2638312007147539e+08 -2.1942256835301420e+08 -2.1305049510794145e+08 -2.0739186740753904e+08 -2.0249990536354372e+08 -1.9838623116469893e+08 -1.9504035599982643e+08 -1.9239980317847663e+08 -1.9039604429130048e+08 -1.8893486083592230e+08 -1.8789979467851904e+08 -1.8718697432447147e+08 -1.8668275473730195e+08 -1.8629800727987248e+08 -1.8597532697489429e+08 -1.8576021377115756e+08 -1.8554720912546480e+08 -1.8533167654338506e+08 -1.8510659983975875e+08 -1.8487461087034294e+08 -1.8463222206069475e+08 -1.8437099430069885e+08 -1.8409173567793030e+08 -1.8379280710151413e+08 -1.8346869198773807e+08 -1.8311508220319232e+08 -1.8272674323463005e+08 -1.8229777767856231e+08 -1.8182302309713861e+08 -1.8128709219408253e+08 -1.8069293080394691e+08 -1.8002666487413475e+08 -1.7927861331544384e+08 -1.7843835855232409e+08 -1.7749515624264136e+08 -1.7643823031054956e+08 -1.7525885176287124e+08 -1.7394289628280643e+08 -1.7248947782703641e+08 -1.7089415652611178e+08 -1.6916062433864552e+08 -1.6730248114067850e+08 -1.6534287033411431e+08 -1.6332584658129364e+08 -1.6131989908477914e+08 -1.5941795713010949e+08 -1.5777520726365247e+08 -1.5659441010686323e+08 -1.5617294272871807e+08 -1.5693321057727349e+08 -1.5949946448558548e+08 -1.6481711583228934e+08 -1.7438477017209923e+08 -1.9070054620824167e+08 2.0188972968717942e+08 +1.2079359786595507e+00 -1.5401408758126438e+08 -1.5394574559907085e+08 -1.5383303949571577e+08 -1.5368955933666438e+08 -1.5355259067518818e+08 -1.5347839497278857e+08 -1.5349151033545625e+08 -1.5354974332695246e+08 -1.5361083219967270e+08 -1.5366688576309803e+08 -1.5372362319307578e+08 -1.5378231983830646e+08 -1.5384259592588413e+08 -1.5390486822599807e+08 -1.5397010292255992e+08 -1.5403911777547699e+08 -1.5411299558200869e+08 -1.5419333244301435e+08 -1.5428205278232405e+08 -1.5438134599824911e+08 -1.5449371425563723e+08 -1.5462189282727110e+08 -1.5476808885831642e+08 -1.5493558848316696e+08 -1.5513714355645889e+08 -1.5538234517445105e+08 -1.5567214045023224e+08 -1.5601112370942912e+08 -1.5640742574990520e+08 -1.5687092456404990e+08 -1.5741308412077990e+08 -1.5804713165901759e+08 -1.5878828994452384e+08 -1.5965403022232458e+08 -1.6066434871553543e+08 -1.6184202398462462e+08 -1.6321288554162827e+08 -1.6480603671626899e+08 -1.6665404030775139e+08 -1.6879296089531085e+08 -1.7146059692636466e+08 -1.7456258811191627e+08 -1.7815473031109419e+08 -1.8229374530629063e+08 -1.8703397194961727e+08 -1.9242221631483296e+08 -1.9849011413640365e+08 -2.0524330156045476e+08 -2.1264714426729923e+08 -2.2060813610111988e+08 -2.2895940312712616e+08 -2.3743243635348010e+08 -2.4564971588130954e+08 -2.5316308716380817e+08 -2.5946432249158591e+08 -2.6407213770578024e+08 -2.6660653957571054e+08 -2.6687096506344801e+08 -2.6489308449905127e+08 -2.6090662849771106e+08 -2.5531307674046078e+08 -2.4858739875055364e+08 -2.4122169763032246e+08 -2.3364613304859930e+08 -2.2622136761820555e+08 -2.1921715486824605e+08 -2.1281084190772849e+08 -2.0712574888780877e+08 -2.0221362998002055e+08 -1.9808484609848025e+08 -1.9472795301858330e+08 -1.9207959479645446e+08 -1.9007058157536426e+08 -1.8860609260574418e+08 -1.8756916700969630e+08 -1.8685553578009915e+08 -1.8635114504678923e+08 -1.8596657631061032e+08 -1.8564427703765684e+08 -1.8542950047366995e+08 -1.8521685882351705e+08 -1.8500170660081401e+08 -1.8477703210419720e+08 -1.8454545924195242e+08 -1.8430352042413139e+08 -1.8404271709463340e+08 -1.8376395935939690e+08 -1.8346556667637378e+08 -1.8314203228064743e+08 -1.8278905570548785e+08 -1.8240141175586021e+08 -1.8197321352448592e+08 -1.8149932246127644e+08 -1.8096430571345180e+08 -1.8037120579862377e+08 -1.7970612969182688e+08 -1.7895941353382507e+08 -1.7812065829544237e+08 -1.7717913875692379e+08 -1.7612409802566135e+08 -1.7494683680992487e+08 -1.7363318575247189e+08 -1.7218235851044938e+08 -1.7058988101847193e+08 -1.6885943866366398e+08 -1.6700460709698856e+08 -1.6504848850949824e+08 -1.6303505912946200e+08 -1.6103269924167690e+08 -1.5913410822549337e+08 -1.5749428646659577e+08 -1.5631559486004981e+08 -1.5589489365922982e+08 -1.5665381114392608e+08 -1.5921549273635304e+08 -1.6452367303885919e+08 -1.7407430850340557e+08 -1.9036098043009800e+08 2.0295680808913428e+08 +1.2129043014338088e+00 -1.5496377006992108e+08 -1.5489549393141633e+08 -1.5478291274452505e+08 -1.5463959606996265e+08 -1.5450279189931533e+08 -1.5442870621814725e+08 -1.5444185361730671e+08 -1.5450008004276600e+08 -1.5456116792063367e+08 -1.5461723714064425e+08 -1.5467400402911192e+08 -1.5473274528206167e+08 -1.5479308456468081e+08 -1.5485544203798625e+08 -1.5492078704898334e+08 -1.5498994154670399e+08 -1.5506399317294231e+08 -1.5514454346866870e+08 -1.5523352339956275e+08 -1.5533312977406716e+08 -1.5544587385786450e+08 -1.5557450158992419e+08 -1.5572123557539135e+08 -1.5588938875975859e+08 -1.5609173854294732e+08 -1.5633788804506958e+08 -1.5662880183434209e+08 -1.5696910043273392e+08 -1.5736694584747875e+08 -1.5783225171076494e+08 -1.5837652235312027e+08 -1.5901303028305164e+08 -1.5975704853827894e+08 -1.6062610344468531e+08 -1.6164025062779462e+08 -1.6282233117467818e+08 -1.6419823828513545e+08 -1.6579713692739102e+08 -1.6765164466183618e+08 -1.6979786656987995e+08 -1.7247425360490534e+08 -1.7558590174249092e+08 -1.7918849200902131e+08 -1.8333850735596284e+08 -1.8808986847275728e+08 -1.9348871270149872e+08 -1.9956567020712474e+08 -2.0632494006497478e+08 -2.1372993508069563e+08 -2.2168463716053534e+08 -2.3001919225398573e+08 -2.3846179699921569e+08 -2.4663178114814293e+08 -2.5407884310309204e+08 -2.6029420912816331e+08 -2.6479834999777621e+08 -2.6721542542336518e+08 -2.6735490987543970e+08 -2.6525132360862654e+08 -2.6114472915371341e+08 -2.5544153913609451e+08 -2.4861965682097051e+08 -2.4117232734584650e+08 -2.3352930473417991e+08 -2.2605000660965601e+08 -2.1900248429853502e+08 -2.1256223672274905e+08 -2.0685093591097072e+08 -2.0191887265216497e+08 -1.9777515059491658e+08 -1.9440737495408371e+08 -1.9175131560118914e+08 -1.8973712611662313e+08 -1.8826938823631090e+08 -1.8723064334434125e+08 -1.8651622941862929e+08 -1.8601168778257135e+08 -1.8562731335076797e+08 -1.8530540845875627e+08 -1.8509097755395666e+08 -1.8487870785874128e+08 -1.8466394507332024e+08 -1.8443968226727080e+08 -1.8420853528780299e+08 -1.8396705676891792e+08 -1.8370668859695032e+08 -1.8342844351269716e+08 -1.8313059931383550e+08 -1.8280765928547716e+08 -1.8245533080863887e+08 -1.8206839822725117e+08 -1.8164098537738648e+08 -1.8116797790688443e+08 -1.8063389759420782e+08 -1.8004188415666813e+08 -1.7937802590600812e+08 -1.7863267662083244e+08 -1.7779545625498748e+08 -1.7685565916302109e+08 -1.7580254808898851e+08 -1.7462745389835516e+08 -1.7331616234600008e+08 -1.7186798744377467e+08 -1.7027842085195711e+08 -1.6855114123132670e+08 -1.6669969943583307e+08 -1.6474715547265506e+08 -1.6273740528396556e+08 -1.6073871743900180e+08 -1.5884355709943879e+08 -1.5720673253192669e+08 -1.5603019613821852e+08 -1.5561027893313205e+08 -1.5636781411204442e+08 -1.5892481547996187e+08 -1.6422330115863711e+08 -1.7375651561913848e+08 -1.9001339717614874e+08 2.0402223252532750e+08 +1.2178726242080669e+00 -1.5591266061493880e+08 -1.5584445044849962e+08 -1.5573199256773037e+08 -1.5558883901027176e+08 -1.5545219716854322e+08 -1.5537822204429308e+08 -1.5539140125635174e+08 -1.5544962102284187e+08 -1.5551070773247114e+08 -1.5556679238282835e+08 -1.5562358817009392e+08 -1.5568237347957367e+08 -1.5574277522312421e+08 -1.5580521688141960e+08 -1.5587067099810195e+08 -1.5593996367104837e+08 -1.5601418731487283e+08 -1.5609494885495263e+08 -1.5618418576054433e+08 -1.5628410214734340e+08 -1.5639721829873592e+08 -1.5652629070639682e+08 -1.5667355727974221e+08 -1.5684235751494166e+08 -1.5704549406388184e+08 -1.5729258190492374e+08 -1.5758460286252913e+08 -1.5792620335747939e+08 -1.5832557622853705e+08 -1.5879267029636276e+08 -1.5933902971548274e+08 -1.5997797162353265e+08 -1.6072481856439438e+08 -1.6159715103001216e+08 -1.6261508294751930e+08 -1.6380151660897839e+08 -1.6518240730486089e+08 -1.6678697971075076e+08 -1.6864790380767903e+08 -1.7080132233604550e+08 -1.7348632506000909e+08 -1.7660746606481391e+08 -1.8022030512465972e+08 -1.8438107856196171e+08 -1.8914327958009121e+08 -1.9455236593004617e+08 -2.0063795009693751e+08 -2.0740278154264745e+08 -2.1480830889517847e+08 -2.2275599497225747e+08 -2.3107300684403640e+08 -2.3948426153559035e+08 -2.4760597152462554e+08 -2.5498574154374540e+08 -2.6111432155763355e+08 -2.6551401159184387e+08 -2.6781318730590224e+08 -2.6782739651746011e+08 -2.6559801024604404e+08 -2.6137139143079579e+08 -2.5555883349960831e+08 -2.4864111479620799e+08 -2.4111256942478719e+08 -2.3340250453036764e+08 -2.2586906525759301e+08 -2.1877858506914204e+08 -2.1230470785522991e+08 -2.0656745649063563e+08 -2.0161566104711974e+08 -1.9745717197957617e+08 -1.9407864882648528e+08 -1.9141499235808003e+08 -1.8939570447931364e+08 -1.8792477413955286e+08 -1.8688424998238730e+08 -1.8616908145758212e+08 -1.8566440910060632e+08 -1.8528024450725177e+08 -1.8495874730158326e+08 -1.8474467104570189e+08 -1.8453278223506299e+08 -1.8431841793450978e+08 -1.8409457627109060e+08 -1.8386386491737100e+08 -1.8362285696984893e+08 -1.8336293464709756e+08 -1.8308521393842515e+08 -1.8278793077203640e+08 -1.8246559871485150e+08 -1.8211393317609587e+08 -1.8172772825731382e+08 -1.8130111878586194e+08 -1.8082901491494429e+08 -1.8029589324338898e+08 -1.7970499120228079e+08 -1.7904237874794418e+08 -1.7829842770200679e+08 -1.7746277743857586e+08 -1.7652474233639401e+08 -1.7547360522762355e+08 -1.7430072758938637e+08 -1.7299185044156513e+08 -1.7154638880115640e+08 -1.6995979997722447e+08 -1.6823575574922827e+08 -1.6638778160426250e+08 -1.6443889439587322e+08 -1.6243290793414125e+08 -1.6043797628468323e+08 -1.5854632609408915e+08 -1.5691256757194978e+08 -1.5573823588786903e+08 -1.5531912043735281e+08 -1.5607524147497714e+08 -1.5862745506974450e+08 -1.6391602329034373e+08 -1.7343141595832333e+08 -1.8965782317407438e+08 2.0508597489478123e+08 +1.2228409469823249e+00 -1.5686071465925309e+08 -1.5679256910340434e+08 -1.5668023446941271e+08 -1.5653724295511323e+08 -1.5640076507118440e+08 -1.5632689970760247e+08 -1.5634010877071127e+08 -1.5639832186380038e+08 -1.5645940722964218e+08 -1.5651550703132799e+08 -1.5657233117265898e+08 -1.5663115993931332e+08 -1.5669162340836516e+08 -1.5675414824372470e+08 -1.5681971024403596e+08 -1.5688913960080484e+08 -1.5696353343538284e+08 -1.5704450400584036e+08 -1.5713399523475388e+08 -1.5723421845249611e+08 -1.5734770286846623e+08 -1.5747721541614527e+08 -1.5762500915111071e+08 -1.5779444985763729e+08 -1.5799836514157364e+08 -1.5824638167264134e+08 -1.5853949833060986e+08 -1.5888238713523588e+08 -1.5928327137508494e+08 -1.5975213460389435e+08 -1.6030056025723329e+08 -1.6094190945580611e+08 -1.6169155347818744e+08 -1.6256712605888477e+08 -1.6358879831825966e+08 -1.6477953242120612e+08 -1.6616534414183486e+08 -1.6777551592038071e+08 -1.6964276780471697e+08 -1.7180327733856782e+08 -1.7449675930486459e+08 -1.7762722779355660e+08 -1.8125011489773580e+08 -1.8542140251445153e+08 -1.9019414705559480e+08 -1.9561311586837900e+08 -2.0170689173812917e+08 -2.0847676212358829e+08 -2.1588220041138294e+08 -2.2382214351950616e+08 -2.3212078131621993e+08 -2.4049976647514939e+08 -2.4857222775440389e+08 -2.5588372989996710e+08 -2.6192461626943350e+08 -2.6621908997918621e+08 -2.6839980474842411e+08 -2.6828841647470680e+08 -2.6593314673741171e+08 -2.6158662665137252e+08 -2.5566497799700963e+08 -2.4865179561027816e+08 -2.4104244981721529e+08 -2.3326576007456195e+08 -2.2567857196802437e+08 -2.1854548577552420e+08 -2.1203828376095521e+08 -2.0627533878387040e+08 -2.0130402296856207e+08 -1.9713093770978788e+08 -1.9374180178536344e+08 -1.9107065196068183e+08 -1.8904634335403004e+08 -1.8757227685306060e+08 -1.8653001334913418e+08 -1.8581411823944724e+08 -1.8530933528207481e+08 -1.8492539601172301e+08 -1.8460431975422210e+08 -1.8439060710711792e+08 -1.8417910808072966e+08 -1.8396515128208977e+08 -1.8374174018144441e+08 -1.8351147416387784e+08 -1.8327094702536267e+08 -1.8301148120805001e+08 -1.8273429656006053e+08 -1.8243758693245092e+08 -1.8211587640444249e+08 -1.8176488859315807e+08 -1.8137942757695046e+08 -1.8095363942007786e+08 -1.8048245908840227e+08 -1.7995031818989545e+08 -1.7936055238034979e+08 -1.7869921356813392e+08 -1.7795669202278745e+08 -1.7712264697323021e+08 -1.7618641327136171e+08 -1.7513729428699237e+08 -1.7396668256169537e+08 -1.7266027453364763e+08 -1.7121758687243226e+08 -1.6963404245923352e+08 -1.6791330603816164e+08 -1.6606887716123903e+08 -1.6412372856209743e+08 -1.6212159007896036e+08 -1.6013049849432400e+08 -1.5824243765880436e+08 -1.5661181380430692e+08 -1.5543973616044524e+08 -1.5502144016346702e+08 -1.5577611533120912e+08 -1.5832343396563911e+08 -1.6360186264267778e+08 -1.7309903407644272e+08 -1.8929428527902213e+08 2.0614800732248721e+08 +1.2278092697565830e+00 -1.5780788865760896e+08 -1.5773980851973164e+08 -1.5762759475296193e+08 -1.5748476484016389e+08 -1.5734844959800002e+08 -1.5727469283812881e+08 -1.5728793211613598e+08 -1.5734613810764289e+08 -1.5740722204824850e+08 -1.5746333663538072e+08 -1.5752018863852489e+08 -1.5757906022437289e+08 -1.5763958466935325e+08 -1.5770219166431600e+08 -1.5776786031404254e+08 -1.5783742484227818e+08 -1.5791198701587605e+08 -1.5799316437960258e+08 -1.5808290724603125e+08 -1.5818343407815865e+08 -1.5829728291227031e+08 -1.5842723101344398e+08 -1.5857554642454413e+08 -1.5874562095214584e+08 -1.5895030685510024e+08 -1.5919924232376513e+08 -1.5949344309224749e+08 -1.5983760647600579e+08 -1.6023998582866094e+08 -1.6071059897715250e+08 -1.6126106809019938e+08 -1.6190479762000701e+08 -1.6265720680144551e+08 -1.6353598168086159e+08 -1.6456134945523116e+08 -1.6575633082058424e+08 -1.6714700041751766e+08 -1.6876269649584982e+08 -1.7063618680429718e+08 -1.7280368082204983e+08 -1.7550550446337169e+08 -1.7864513376670295e+08 -1.8227786670780021e+08 -1.8645942296424651e+08 -1.9124241286999741e+08 -1.9667090260392332e+08 -2.0277243332342532e+08 -2.0954681825006279e+08 -2.1695154470373532e+08 -2.2488301723303089e+08 -2.3316245061943716e+08 -2.4150824894824752e+08 -2.4953049128322732e+08 -2.5677275635787016e+08 -2.6272505056855798e+08 -2.6691355347106469e+08 -2.6897525806281829e+08 -2.6873796194829029e+08 -2.6625673603404737e+08 -2.6179044666093570e+08 -2.5575999122137123e+08 -2.4865172254147157e+08 -2.4096199475040644e+08 -2.3311909923169702e+08 -2.2547855533971837e+08 -2.1830321518132961e+08 -2.1176299304856819e+08 -2.0597461108969095e+08 -2.0098398635540956e+08 -1.9679647537453040e+08 -1.9339686110875967e+08 -1.9071832142899951e+08 -1.8868906955726871e+08 -1.8721192303966334e+08 -1.8616795999407542e+08 -1.8545136623107594e+08 -1.8494649273125190e+08 -1.8456279421956125e+08 -1.8424215212839556e+08 -1.8402881201961997e+08 -1.8381771164700249e+08 -1.8360417133687887e+08 -1.8338120018725127e+08 -1.8315138918299118e+08 -1.8291135305631307e+08 -1.8265235436523691e+08 -1.8237571742302683e+08 -1.8207959379834825e+08 -1.8175851831147271e+08 -1.8140822296731997e+08 -1.8102352203805229e+08 -1.8059857307110542e+08 -1.8012833615071279e+08 -1.7959719808265474e+08 -1.7900859325542220e+08 -1.7834855583729780e+08 -1.7760749494784209e+08 -1.7677509010443971e+08 -1.7584069707944673e+08 -1.7479364022915754e+08 -1.7362534360997322e+08 -1.7232145923224375e+08 -1.7088160606178042e+08 -1.6930117247629419e+08 -1.6758381603105691e+08 -1.6574300977682802e+08 -1.6380168136396751e+08 -1.6180347482553253e+08 -1.5981630689102387e+08 -1.5793191434847727e+08 -1.5630449355138811e+08 -1.5513471911093152e+08 -1.5471726020636633e+08 -1.5547045788329831e+08 -1.5801277473335546e+08 -1.6328084253391036e+08 -1.7275939464491293e+08 -1.8892281047257841e+08 2.0720830215869135e+08 +1.2327775925308411e+00 -1.5875413791520137e+08 -1.5868612061561209e+08 -1.5857403073324201e+08 -1.5843135904922026e+08 -1.5829520570949203e+08 -1.5822155686295593e+08 -1.5823482690844366e+08 -1.5829302546587631e+08 -1.5835410780997506e+08 -1.5841023679190549e+08 -1.5846711621808836e+08 -1.5852602995936379e+08 -1.5858661460589629e+08 -1.5864930273715037e+08 -1.5871507679075399e+08 -1.5878477495752326e+08 -1.5885950359391782e+08 -1.5894088549033245e+08 -1.5903087727457270e+08 -1.5913170447003591e+08 -1.5924591383191553e+08 -1.5937629285012743e+08 -1.5952512439271206e+08 -1.5969582602094558e+08 -1.5990127434160134e+08 -1.6015111889314547e+08 -1.6044639206091148e+08 -1.6079181615073907e+08 -1.6119567419274610e+08 -1.6166801782286122e+08 -1.6222050739067265e+08 -1.6286659002220497e+08 -1.6362173212407929e+08 -1.6450367111641428e+08 -1.6553268914810008e+08 -1.6673186409474358e+08 -1.6812732783534521e+08 -1.6974847246406233e+08 -1.7162811105236399e+08 -1.7380248213348693e+08 -1.7651250877192914e+08 -1.7966113094824949e+08 -1.8330350607760972e+08 -1.8749508382543105e+08 -1.9228801918315381e+08 -1.9772566644658437e+08 -2.0383451330922955e+08 -2.1061288667865101e+08 -2.1801627722369573e+08 -2.2593855099309582e+08 -2.3419795023443049e+08 -2.4250964670420167e+08 -2.5048070425937688e+08 -2.5765276987429580e+08 -2.6351558257133436e+08 -2.6759737119441548e+08 -2.6953952834138954e+08 -2.6917602585187852e+08 -2.6656878170524713e+08 -2.6198286382405367e+08 -2.5584389218793678e+08 -2.4864091920730904e+08 -2.4087123072585258e+08 -2.3296255009188920e+08 -2.2526904416125146e+08 -2.1805180221662721e+08 -2.1147886447688520e+08 -2.0566530184777373e+08 -2.0065557928068042e+08 -1.9645381269255874e+08 -1.9304385420237204e+08 -1.9035802790915006e+08 -1.8832391003029159e+08 -1.8684373948596519e+08 -1.8579811659056386e+08 -1.8508085202229121e+08 -1.8457590797581840e+08 -1.8419246560836884e+08 -1.8387227085761636e+08 -1.8365931218636680e+08 -1.8344861930700833e+08 -1.8323550444141641e+08 -1.8301298259897989e+08 -1.8278363625221562e+08 -1.8254410130508432e+08 -1.8228558032517102e+08 -1.8200950269444174e+08 -1.8171397749370944e+08 -1.8139355051398358e+08 -1.8104396232578704e+08 -1.8066003761330292e+08 -1.8023594565061036e+08 -1.7976667194501042e+08 -1.7923655869001472e+08 -1.7864913951145703e+08 -1.7799043114414567e+08 -1.7725086195925412e+08 -1.7642013219526803e+08 -1.7548761898974416e+08 -1.7444266813271451e+08 -1.7327673564451751e+08 -1.7197542926161173e+08 -1.7053847088676402e+08 -1.6896121431933373e+08 -1.6724730977219674e+08 -1.6541020323118192e+08 -1.6347277630299047e+08 -1.6147858538850254e+08 -1.5949542440370029e+08 -1.5761477882293817e+08 -1.5599062923945975e+08 -1.5482320699795812e+08 -1.5440660276405329e+08 -1.5515829143695396e+08 -1.5769550004346901e+08 -1.6295298639068562e+08 -1.7241252244986704e+08 -1.8854342586218682e+08 2.0826683197817543e+08 +1.2377459153050991e+00 -1.5969941801134628e+08 -1.5963146545148283e+08 -1.5951949318537581e+08 -1.5937698350820678e+08 -1.5924099074694064e+08 -1.5916744802477217e+08 -1.5918074882558715e+08 -1.5923893967310268e+08 -1.5930002015550637e+08 -1.5935616319419679e+08 -1.5941306961739048e+08 -1.5947202483466968e+08 -1.5953266887677404e+08 -1.5959543711411658e+08 -1.5966131531500036e+08 -1.5973114556655562e+08 -1.5980603876537541e+08 -1.5988762291080141e+08 -1.5997786085919288e+08 -1.6007898513159984e+08 -1.6019355108813035e+08 -1.6032435633664811e+08 -1.6047369840752146e+08 -1.6064502034637174e+08 -1.6085122279880726e+08 -1.6110196647634929e+08 -1.6139830021188462e+08 -1.6174497099285981e+08 -1.6215029113460600e+08 -1.6262434561301422e+08 -1.6317883240159479e+08 -1.6382724063703439e+08 -1.6458508310695210e+08 -1.6547014765941757e+08 -1.6650277026224753e+08 -1.6770608461073974e+08 -1.6910627818375954e+08 -1.7073279494246382e+08 -1.7261849089118034e+08 -1.7479963072421458e+08 -1.7751772058232778e+08 -1.8067516643099770e+08 -1.8432697867433265e+08 -1.8852832917823926e+08 -1.9333090834803826e+08 -1.9877734793142310e+08 -2.0489307041883406e+08 -2.1167490448384875e+08 -2.1907633380170864e+08 -2.2698868013207850e+08 -2.3522721617630389e+08 -2.4350389811168021e+08 -2.5142280953264716e+08 -2.5852372017445046e+08 -2.6429617120168313e+08 -2.6827051308758563e+08 -2.7009259745120424e+08 -2.6960260180246663e+08 -2.6686928793323559e+08 -2.6216389101614207e+08 -2.5591670032901773e+08 -2.4861940956097436e+08 -2.4077018451547039e+08 -2.3279614096726355e+08 -2.2505006740947104e+08 -2.1779127597624987e+08 -2.1118592695437080e+08 -2.0534743963697875e+08 -2.0031882995085624e+08 -1.9610297751192981e+08 -1.9268280859856668e+08 -1.8998979867196187e+08 -1.8795089183792663e+08 -1.8646775310186511e+08 -1.8542050993408883e+08 -1.8470260232508457e+08 -1.8419760766487688e+08 -1.8381443677753341e+08 -1.8349470249725252e+08 -1.8328213413261995e+08 -1.8307185755541089e+08 -1.8285917705944291e+08 -1.8263711384798199e+08 -1.8240824176982296e+08 -1.8216921813469648e+08 -1.8191118541467583e+08 -1.8163567866098449e+08 -1.8134076426296428e+08 -1.8102099920956519e+08 -1.8067213281597966e+08 -1.8028900039379582e+08 -1.7986578318830720e+08 -1.7939749243300650e+08 -1.7886842589853814e+08 -1.7828221695012480e+08 -1.7762486519510788e+08 -1.7688681865678445e+08 -1.7605779872479603e+08 -1.7512720434669992e+08 -1.7408440319087577e+08 -1.7292088368975404e+08 -1.7162220945985538e+08 -1.7018820597782210e+08 -1.6861419239069295e+08 -1.6690381141642931e+08 -1.6507048141324428e+08 -1.6313703698847443e+08 -1.6114694508888939e+08 -1.5916787406644481e+08 -1.5729105384605068e+08 -1.5567024339753902e+08 -1.5450522218184069e+08 -1.5408949013619262e+08 -1.5483963840054652e+08 -1.5737163267096871e+08 -1.6261831774719959e+08 -1.7205844239130652e+08 -1.8815615867951900e+08 2.0932356957953948e+08 +1.2427142380793572e+00 -1.6064368489749941e+08 -1.6057579608643803e+08 -1.6046394526503962e+08 -1.6032159375173169e+08 -1.6018575827166462e+08 -1.6011232325175539e+08 -1.6012565337661865e+08 -1.6018383666120514e+08 -1.6024491485390648e+08 -1.6030107163344738e+08 -1.6035800460183066e+08 -1.6041700060683954e+08 -1.6047770320572394e+08 -1.6054055050858489e+08 -1.6060653158719617e+08 -1.6067649234885499e+08 -1.6075154818645534e+08 -1.6083333227298263e+08 -1.6092381359910384e+08 -1.6102523162693578e+08 -1.6114015020223460e+08 -1.6127137694481441e+08 -1.6142122388225967e+08 -1.6159315927246821e+08 -1.6180010748673883e+08 -1.6205174023196384e+08 -1.6234912258383924e+08 -1.6269702590079337e+08 -1.6310379138720465e+08 -1.6357953688680074e+08 -1.6413599743445709e+08 -1.6478670350954354e+08 -1.6554721348317885e+08 -1.6643536467919359e+08 -1.6747154574225101e+08 -1.6867894481805864e+08 -1.7008380333751473e+08 -1.7171561514005655e+08 -1.7360727676181442e+08 -1.7579507615286669e+08 -1.7852108836397827e+08 -1.8168718743867105e+08 -1.8534823031335092e+08 -1.8955910327174163e+08 -1.9437102291200712e+08 -1.9982588782194087e+08 -2.0594804364478445e+08 -2.1273280906051198e+08 -2.2013165065052474e+08 -2.2803334043669936e+08 -2.3625018499468452e+08 -2.4449094216025883e+08 -2.5235675065422305e+08 -2.5938555774992034e+08 -2.6506677618890032e+08 -2.6893294989541298e+08 -2.7063444802854675e+08 -2.7001768411508501e+08 -2.6715825950520790e+08 -2.6233354161997947e+08 -2.5597843548946512e+08 -2.4858721788716379e+08 -2.4065888315872392e+08 -2.3261990039016783e+08 -2.2482165424762172e+08 -2.1752166571818033e+08 -2.1088420953753528e+08 -2.0502105317441574e+08 -1.9997376670363551e+08 -1.9574399780843544e+08 -1.9231375195436835e+08 -1.8961366111208144e+08 -1.8757004216787845e+08 -1.8608399091860050e+08 -1.8503516694169778e+08 -1.8431664397227448e+08 -1.8381161856879684e+08 -1.8342873444721594e+08 -1.8310947372277007e+08 -1.8289730450324041e+08 -1.8268745300680459e+08 -1.8247521577434093e+08 -1.8225362048544395e+08 -1.8202523225349915e+08 -1.8178673002747297e+08 -1.8152919608031869e+08 -1.8125427172905621e+08 -1.8095998046892264e+08 -1.8064089071483913e+08 -1.8029276070342734e+08 -1.7991043658973005e+08 -1.7948811183269998e+08 -1.7902082369432634e+08 -1.7849282571206149e+08 -1.7790785148970467e+08 -1.7725188381316802e+08 -1.7651539075584966e+08 -1.7568811528813976e+08 -1.7475947860962343e+08 -1.7371887071150792e+08 -1.7255781288368183e+08 -1.7126182477745062e+08 -1.6983083607691938e+08 -1.6826013120329794e+08 -1.6655334522767630e+08 -1.6472386832093894e+08 -1.6279448713689277e+08 -1.6080857735402882e+08 -1.5883367901823300e+08 -1.5696076228486651e+08 -1.5534335865722138e+08 -1.5418078712432140e+08 -1.5376594472382718e+08 -1.5451452128362086e+08 -1.5704119549372378e+08 -1.6227686024434453e+08 -1.7169717948159596e+08 -1.8776103627954605e+08 2.1037848798448250e+08 +1.2476825608536153e+00 -1.6158689285663751e+08 -1.6151906684641522e+08 -1.6140733518334705e+08 -1.6126514318149906e+08 -1.6112946611490661e+08 -1.6105613771547848e+08 -1.6106949637798652e+08 -1.6112767238718793e+08 -1.6118874786241153e+08 -1.6124491796269622e+08 -1.6130187699487385e+08 -1.6136091309810182e+08 -1.6142167338186920e+08 -1.6148459869942018e+08 -1.6155068136973843e+08 -1.6162077104466927e+08 -1.6169598757584831e+08 -1.6177796927102703e+08 -1.6186869115605110e+08 -1.6197039958257088e+08 -1.6208566675800523e+08 -1.6221731020925331e+08 -1.6236765629381415e+08 -1.6254019820741948e+08 -1.6274788372996095e+08 -1.6300039538399413e+08 -1.6329881428195003e+08 -1.6364793583962685e+08 -1.6405612975155470e+08 -1.6453354625241417e+08 -1.6509195687180066e+08 -1.6574493275776571e+08 -1.6650807706132004e+08 -1.6739927562223917e+08 -1.6843896861294213e+08 -1.6965039725089580e+08 -1.7105985526051810e+08 -1.7269688436123455e+08 -1.7459441920696068e+08 -1.7678876808735403e+08 -1.7952256070694539e+08 -1.8269714132850718e+08 -1.8636720696025324e+08 -1.9058735052628425e+08 -1.9540830562085727e+08 -2.0087122711267260e+08 -2.0699937225213784e+08 -2.1378653812646580e+08 -2.2118216436742669e+08 -2.2907246815029883e+08 -2.3726679377697319e+08 -2.4547071846061146e+08 -2.5328247187567723e+08 -2.6023823385748526e+08 -2.6582735806268874e+08 -2.6958465316337079e+08 -2.7116506347191423e+08 -2.7042126779755551e+08 -2.6743570180865341e+08 -2.6249182951871455e+08 -2.5602911792125937e+08 -2.4854436879822293e+08 -2.4053735395956346e+08 -2.3243385710981509e+08 -2.2458383402199939e+08 -2.1724300086173701e+08 -2.1057374142904544e+08 -2.0468617131383714e+08 -1.9962041800767368e+08 -1.9537690168418169e+08 -1.9193671205152774e+08 -1.8922964274660584e+08 -1.8718138832900497e+08 -1.8569248008865237e+08 -1.8464211465079346e+08 -1.8392300391690338e+08 -1.8341796757709500e+08 -1.8303538545667797e+08 -1.8271661132928553e+08 -1.8250485006253555e+08 -1.8229543239469364e+08 -1.8208364728886276e+08 -1.8186252918148640e+08 -1.8163463433950138e+08 -1.8139666358443388e+08 -1.8113963888660544e+08 -1.8086530842260739e+08 -1.8057165259289995e+08 -1.8025325146408671e+08 -1.7990587237130824e+08 -1.7952437252808136e+08 -1.7910295784891325e+08 -1.7863669192501953e+08 -1.7810978425105074e+08 -1.7752606916516167e+08 -1.7687151293677312e+08 -1.7613660408718926e+08 -1.7531110759456760e+08 -1.7438446735212106e+08 -1.7334609611589643e+08 -1.7218754847690132e+08 -1.7089430027639571e+08 -1.6946638603655437e+08 -1.6789905537983873e+08 -1.6619593557920340e+08 -1.6437038805928820e+08 -1.6244515057066548e+08 -1.6046350571562555e+08 -1.5849286250107434e+08 -1.5662392710874605e+08 -1.5500999775088245e+08 -1.5384992438786775e+08 -1.5343598902789614e+08 -1.5418296269698429e+08 -1.5670421149217919e+08 -1.6192863762889817e+08 -1.7132875884598267e+08 -1.8735808613982341e+08 2.1143156043708241e+08 +1.2526508836278734e+00 -1.6252900080943394e+08 -1.6246123649915576e+08 -1.6234962476937282e+08 -1.6220758716020137e+08 -1.6207206941862717e+08 -1.6199884715614665e+08 -1.6201223394738460e+08 -1.6207040244419727e+08 -1.6213147517766258e+08 -1.6218765806218952e+08 -1.6224464267730337e+08 -1.6230371819232532e+08 -1.6236453526106402e+08 -1.6242753753299823e+08 -1.6249372048883954e+08 -1.6256393745731604e+08 -1.6263931271622762e+08 -1.6272148966286394e+08 -1.6281244925646248e+08 -1.6291444468882960e+08 -1.6303005640444958e+08 -1.6316211172978973e+08 -1.6331295118452612e+08 -1.6348609262500986e+08 -1.6369450691950428e+08 -1.6394788722310588e+08 -1.6424733047892973e+08 -1.6459765584332454e+08 -1.6500726109844199e+08 -1.6548632838943416e+08 -1.6604666516895053e+08 -1.6670188257412371e+08 -1.6746762772642171e+08 -1.6836183401471469e+08 -1.6940499198206860e+08 -1.7062039452992964e+08 -1.7203438600822681e+08 -1.7367655400646549e+08 -1.7557986887256420e+08 -1.7778065630757636e+08 -1.8052208632335502e+08 -1.8370497559416166e+08 -1.8738385473413259e+08 -1.9161301553659317e+08 -1.9644269942082459e+08 -2.0191330703206152e+08 -2.0804699578117818e+08 -2.1483602972608179e+08 -2.2222781193705064e+08 -2.3010599997485641e+08 -2.3827698014886251e+08 -2.4644316724523568e+08 -2.5419991814925814e+08 -2.6108170051599669e+08 -2.6657787815080661e+08 -2.7022559523402858e+08 -2.7168442793828982e+08 -2.7081334854275852e+08 -2.6770162082436201e+08 -2.6263876909066719e+08 -2.5606876827858886e+08 -2.4849088722953632e+08 -2.4040562448233345e+08 -2.3223804008994713e+08 -2.2433663626154420e+08 -2.1695531098527703e+08 -2.1025455197624290e+08 -2.0434282304457736e+08 -1.9925881246108082e+08 -1.9500171736750087e+08 -1.9155171679508138e+08 -1.8883777121429870e+08 -1.8678495775126982e+08 -1.8529324788453016e+08 -1.8424138021831250e+08 -1.8352170923117658e+08 -1.8301668169859913e+08 -1.8263441676422030e+08 -1.8231614222982624e+08 -1.8210479769290105e+08 -1.8189582257067281e+08 -1.8168449842327839e+08 -1.8146386672373328e+08 -1.8123647478224608e+08 -1.8099904552377129e+08 -1.8074254051536554e+08 -1.8046881538338444e+08 -1.8017580723283926e+08 -1.7985810800839096e+08 -1.7951149431956711e+08 -1.7913083465213007e+08 -1.7871034761793625e+08 -1.7824512343700737e+08 -1.7771932775113800e+08 -1.7713689612584332e+08 -1.7648377861876184e+08 -1.7575048459509259e+08 -1.7492680146699968e+08 -1.7400219626032302e+08 -1.7296610493690521e+08 -1.7181011583128652e+08 -1.7051966112974441e+08 -1.6909488081904617e+08 -1.6753098965187022e+08 -1.6583160695108303e+08 -1.6401006483934304e+08 -1.6208905121756470e+08 -1.6011175380928910e+08 -1.5814544786000910e+08 -1.5628057138866729e+08 -1.5467018351168028e+08 -1.5351265663448229e+08 -1.5309964564896595e+08 -1.5384498535099027e+08 -1.5636070374824965e+08 -1.6157367375239915e+08 -1.7095320571964383e+08 -1.8694733585900834e+08 2.1248276040307468e+08 +1.2576192064021314e+00 -1.6346996006338617e+08 -1.6340226098116305e+08 -1.6329076693090802e+08 -1.6314888638163513e+08 -1.6301352363682511e+08 -1.6294040653918228e+08 -1.6295382233890903e+08 -1.6301198256882042e+08 -1.6307305269167772e+08 -1.6312924784307745e+08 -1.6318625758801943e+08 -1.6324537183267272e+08 -1.6330624476607519e+08 -1.6336932292429787e+08 -1.6343560483646455e+08 -1.6350594745491013e+08 -1.6358147945617104e+08 -1.6366384927135533e+08 -1.6375504369322979e+08 -1.6385732270293984e+08 -1.6397327485665950e+08 -1.6410573717321369e+08 -1.6425706416394588e+08 -1.6443079806728020e+08 -1.6463993251486352e+08 -1.6489417110930273e+08 -1.6519462641739050e+08 -1.6554614101639548e+08 -1.6595714037096491e+08 -1.6643783805082911e+08 -1.6700007685585621e+08 -1.6765750722781563e+08 -1.6842581944274607e+08 -1.6932299346491748e+08 -1.7036956904223245e+08 -1.7158888936474138e+08 -1.7300734772933879e+08 -1.7465457557583851e+08 -1.7656357651080647e+08 -1.7877069070754722e+08 -1.8151961405086303e+08 -1.8471063786789012e+08 -1.8839811990936098e+08 -1.9263604307421914e+08 -1.9747414746168327e+08 -2.0295206904526731e+08 -2.0909085405022788e+08 -2.1588122223193097e+08 -2.2326853073365992e+08 -2.3113387307361764e+08 -2.3928068227633247e+08 -2.4740822936902443e+08 -2.5510903512664378e+08 -2.6191591050569311e+08 -2.6731829857493967e+08 -2.7085574924124467e+08 -2.7219252633478141e+08 -2.7119392272310370e+08 -2.6795602312053668e+08 -2.6277437520334581e+08 -2.5609740761402836e+08 -2.4842679843607819e+08 -2.4026372254945412e+08 -2.3203247850667977e+08 -2.2408009067421705e+08 -2.1665862582588789e+08 -2.0992667067034364e+08 -2.0399103748989418e+08 -1.9888897878995341e+08 -1.9461847321094117e+08 -1.9115879421170324e+08 -1.8843807427439374e+08 -1.8638077798341736e+08 -1.8488632169718668e+08 -1.8383299091922921e+08 -1.8311278710509676e+08 -1.8260778805947593e+08 -1.8222585544530341e+08 -1.8190809345516023e+08 -1.8169717439412442e+08 -1.8148865050378838e+08 -1.8127779611508301e+08 -1.8105766001675341e+08 -1.8083078045245096e+08 -1.8059390268053836e+08 -1.8033792776515457e+08 -1.8006481936865184e+08 -1.7977247110280794e+08 -1.7945548701423827e+08 -1.7910965316321060e+08 -1.7872984952067965e+08 -1.7831030763630334e+08 -1.7784614465703940e+08 -1.7732148256240383e+08 -1.7674035863540840e+08 -1.7608870702607447e+08 -1.7535705833752578e+08 -1.7453522284100077e+08 -1.7361269113268799e+08 -1.7257892281922227e+08 -1.7142554041937259e+08 -1.7013793262001455e+08 -1.6871634549586099e+08 -1.6715595885834613e+08 -1.6546038393059796e+08 -1.6364292297837773e+08 -1.6172621310949054e+08 -1.5975334537377128e+08 -1.5779145854159778e+08 -1.5593071829587370e+08 -1.5432393887205446e+08 -1.5316900662498498e+08 -1.5275693728592461e+08 -1.5350061205497238e+08 -1.5601069544426954e+08 -1.6121199257023373e+08 -1.7057054544857010e+08 -1.8652881315650934e+08 2.1353206156913042e+08 +1.2625875291763895e+00 -1.6440973160828829e+08 -1.6434209320296091e+08 -1.6423071942992273e+08 -1.6408899237809411e+08 -1.6395378581689394e+08 -1.6388077331555006e+08 -1.6389421735568973e+08 -1.6395236905144101e+08 -1.6401343629061928e+08 -1.6406964329564744e+08 -1.6412667772483402e+08 -1.6418583002139387e+08 -1.6424675788887531e+08 -1.6430991085675514e+08 -1.6437629037140927e+08 -1.6444675697318476e+08 -1.6452244371249056e+08 -1.6460500398722267e+08 -1.6469643032718685e+08 -1.6479898944975907e+08 -1.6491527789881068e+08 -1.6504814227520686e+08 -1.6519995091113642e+08 -1.6537427014563075e+08 -1.6558411604586503e+08 -1.6583920247375855e+08 -1.6614065741208839e+08 -1.6649334653698653e+08 -1.6690572258564293e+08 -1.6738803006455573e+08 -1.6795214653975800e+08 -1.6861176106713074e+08 -1.6938260625584829e+08 -1.7028270766437423e+08 -1.7133265307339749e+08 -1.7255583455570820e+08 -1.7397869266840619e+08 -1.7563090067079133e+08 -1.7754549298183805e+08 -1.7975882129750022e+08 -1.8251509285451967e+08 -1.8571407592313793e+08 -1.8940994891852498e+08 -1.9365637809028450e+08 -1.9850259309953898e+08 -2.0398745485681680e+08 -2.1013088715818417e+08 -2.1692205434838289e+08 -2.2430425852389804e+08 -2.3215602507263860e+08 -2.4027783886685160e+08 -2.4836584630984655e+08 -2.5600976915878952e+08 -2.6274081736514229e+08 -2.6804858224744090e+08 -2.7147508910621148e+08 -2.7268934431558973e+08 -2.7156298738373226e+08 -2.6819891584719810e+08 -2.6289866320937672e+08 -2.5611505737253168e+08 -2.4835212798833290e+08 -2.4011167623800695e+08 -2.3181720174501371e+08 -2.2381422714634347e+08 -2.1635297527610332e+08 -2.0959012714415255e+08 -2.0363084390606746e+08 -1.9851094584754935e+08 -1.9422719769006220e+08 -1.9075797244918954e+08 -1.8803057980570897e+08 -1.8596887669344118e+08 -1.8447172903570265e+08 -1.8341697414594617e+08 -1.8269626484544599e+08 -1.8219131390280324e+08 -1.8180972869200674e+08 -1.8149249215213150e+08 -1.8128200728189659e+08 -1.8107394327874541e+08 -1.8086356741746739e+08 -1.8064393608110231e+08 -1.8041757833620733e+08 -1.8018126200504756e+08 -1.7992582754935253e+08 -1.7965334725129208e+08 -1.7936167103161547e+08 -1.7904541526347813e+08 -1.7870037563202861e+08 -1.7832144380688530e+08 -1.7790286451404253e+08 -1.7743978212523502e+08 -1.7691627514804602e+08 -1.7633648307040784e+08 -1.7568632443753383e+08 -1.7495635148444960e+08 -1.7413639776370755e+08 -1.7321597787843910e+08 -1.7218457551776373e+08 -1.7103384782346609e+08 -1.6974914013859111e+08 -1.6833080524608865e+08 -1.6677398794560090e+08 -1.6508229121061224e+08 -1.6326898689794108e+08 -1.6135666038208973e+08 -1.5938830425014675e+08 -1.5743091809346822e+08 -1.5557439110159832e+08 -1.5397128686318263e+08 -1.5281899721793163e+08 -1.5240788673563361e+08 -1.5314986571645564e+08 -1.5565420986281458e+08 -1.6084361814124408e+08 -1.7018080348740399e+08 -1.8610254587063000e+08 2.1457943784213364e+08 +1.2675558519506476e+00 -1.6534826827195302e+08 -1.6528069422330710e+08 -1.6516943593073326e+08 -1.6502786317335859e+08 -1.6489281307912666e+08 -1.6481990309714127e+08 -1.6483337494840261e+08 -1.6489151810561919e+08 -1.6495258201983085e+08 -1.6500880053873003e+08 -1.6506585914691430e+08 -1.6512504882306027e+08 -1.6518603069167599e+08 -1.6524925738039824e+08 -1.6531573312093511e+08 -1.6538632201707762e+08 -1.6546216147116655e+08 -1.6554490977049303e+08 -1.6563656509002659e+08 -1.6573940082487419e+08 -1.6585602138544583e+08 -1.6598928284259436e+08 -1.6614156717666328e+08 -1.6631646454372999e+08 -1.6652701311464047e+08 -1.6678293682042006e+08 -1.6708537885127309e+08 -1.6743922765727535e+08 -1.6785296283571666e+08 -1.6833685933658242e+08 -1.6890282890671226e+08 -1.6956459852101588e+08 -1.7033794229407597e+08 -1.7124093039128333e+08 -1.7229419744458631e+08 -1.7352118299650902e+08 -1.7494837316756961e+08 -1.7660548099615669e+08 -1.7852556925640652e+08 -1.8074499820690396e+08 -1.8350847182925835e+08 -1.8671523767705300e+08 -1.9041928835506964e+08 -1.9467396571797508e+08 -1.9952797989910462e+08 -2.0501940641379020e+08 -2.1116703548775351e+08 -2.1795846511388540e+08 -2.2533493346926850e+08 -2.3317239406337464e+08 -2.4126838917128292e+08 -2.4931596016971099e+08 -2.5690206729457614e+08 -2.6355637538877022e+08 -2.6876869286788446e+08 -2.7208358953164619e+08 -2.7317486827364200e+08 -2.7192054023786288e+08 -2.6843030672883868e+08 -2.6301164893887571e+08 -2.5612173938791025e+08 -2.4826690176904491e+08 -2.3994951387660170e+08 -2.3159223939744574e+08 -2.2353907573957744e+08 -2.1603838938314146e+08 -2.0924495117136735e+08 -2.0326227168081561e+08 -1.9812474261310136e+08 -1.9382791940321261e+08 -1.9034927977543932e+08 -1.8761531580552277e+08 -1.8554928166640019e+08 -1.8404949752561802e+08 -1.8299335740734822e+08 -1.8227216987530318e+08 -1.8176728658744684e+08 -1.8138606381176263e+08 -1.8106936558308241e+08 -1.8085932358742228e+08 -1.8065172809529826e+08 -1.8044183949873844e+08 -1.8022272205163169e+08 -1.7999689553471538e+08 -1.7976115056198767e+08 -1.7950626689593759e+08 -1.7923442601812169e+08 -1.7894343396215624e+08 -1.7862791965106943e+08 -1.7828368856942031e+08 -1.7790564429658991e+08 -1.7748804497440580e+08 -1.7702606249457365e+08 -1.7650373208412281e+08 -1.7592529591941342e+08 -1.7527665724421668e+08 -1.7454839031667706e+08 -1.7373035239265373e+08 -1.7281208251689988e+08 -1.7178308889696270e+08 -1.7063506373416930e+08 -1.6935330918464559e+08 -1.6793828535553288e+08 -1.6638510196551305e+08 -1.6469735358913788e+08 -1.6288828112323162e+08 -1.6098041727320927e+08 -1.5901665438044539e+08 -1.5706385016311631e+08 -1.5521161317571491e+08 -1.5361225061413357e+08 -1.5246265136943325e+08 -1.5205251689149320e+08 -1.5279276934047288e+08 -1.5529127038477808e+08 -1.6046857462613738e+08 -1.6978400539880446e+08 -1.8566856195795256e+08 2.1562486334845737e+08 +1.2725241747249056e+00 -1.6628552951891589e+08 -1.6621801390292817e+08 -1.6610687437030715e+08 -1.6596545679416153e+08 -1.6583056015659678e+08 -1.6575775176028138e+08 -1.6577125154740104e+08 -1.6582938585887027e+08 -1.6589044609519345e+08 -1.6594667581055149e+08 -1.6600375798464596e+08 -1.6606298436967349e+08 -1.6612401930841857e+08 -1.6618731861188194e+08 -1.6625388918265697e+08 -1.6632459866393247e+08 -1.6640058878970543e+08 -1.6648352265258700e+08 -1.6657540398526883e+08 -1.6667851279574832e+08 -1.6679546124353403e+08 -1.6692911475505680e+08 -1.6708186878420281e+08 -1.6725733701891300e+08 -1.6746857939798161e+08 -1.6772532972865093e+08 -1.6802874619954154e+08 -1.6838373970690396e+08 -1.6879881629206988e+08 -1.6928428085187051e+08 -1.6985207872388521e+08 -1.7051597410193363e+08 -1.7129178177163923e+08 -1.7219761551122615e+08 -1.7325415561615917e+08 -1.7448488767625135e+08 -1.7591634166952759e+08 -1.7757826836251658e+08 -1.7950375641810557e+08 -1.8172917168645993e+08 -1.8449970020233619e+08 -1.8771407119276363e+08 -1.9142608497569728e+08 -1.9568875127516031e+08 -2.0055025163672125e+08 -2.0604786590754604e+08 -2.1219923970760444e+08 -2.1899039390342698e+08 -2.2636049412832856e+08 -2.3418291860401836e+08 -2.4225227298467577e+08 -2.5025851367403316e+08 -2.5778587728039923e+08 -2.6436253962634772e+08 -2.6947859491900498e+08 -2.7268122599762899e+08 -2.7364908533697760e+08 -2.7226657965911901e+08 -2.6865020406103534e+08 -2.6311334869574416e+08 -2.5611747587696895e+08 -2.4817114596788967e+08 -2.3977726404187784e+08 -2.3135762126101324e+08 -2.2325466668937099e+08 -2.1571489834734115e+08 -2.0889117266454637e+08 -2.0288535033211443e+08 -1.9773039819009951e+08 -1.9342066706922486e+08 -1.8993274457706583e+08 -1.8719231038793966e+08 -1.8512202080347317e+08 -1.8361965490815726e+08 -1.8256216832736599e+08 -1.8184052973286313e+08 -1.8133573358683687e+08 -1.8095488822689059e+08 -1.8063874112421003e+08 -1.8042915065566355e+08 -1.8022203226736441e+08 -1.8001263964100644e+08 -1.7979404517724469e+08 -1.7956875926237077e+08 -1.7933359552977210e+08 -1.7907927294594717e+08 -1.7880808276905665e+08 -1.7851778695034289e+08 -1.7820302718513966e+08 -1.7785961893104136e+08 -1.7748247788856673e+08 -1.7706587585274386e+08 -1.7660501253000298e+08 -1.7608388005782387e+08 -1.7550682378203312e+08 -1.7485973194740146e+08 -1.7413320122555625e+08 -1.7331711299561703e+08 -1.7240103117667514e+08 -1.7137448892932379e+08 -1.7022921395025286e+08 -1.6895046536428076e+08 -1.6753881121635586e+08 -1.6598932607539719e+08 -1.6430559596778500e+08 -1.6250083028256187e+08 -1.6059750812234637e+08 -1.5863841980708227e+08 -1.5669027849722978e+08 -1.5484240798620853e+08 -1.5324685335092491e+08 -1.5209999213126767e+08 -1.5169085074287510e+08 -1.5242934602802777e+08 -1.5492190048940098e+08 -1.6008688628697205e+08 -1.6938017685307327e+08 -1.8522688949239406e+08 2.1666831243323940e+08 +1.2774924974991637e+00 -1.6722146820838350e+08 -1.6715401354621014e+08 -1.6704299133210599e+08 -1.6690172566760582e+08 -1.6676698150844479e+08 -1.6669427626088431e+08 -1.6670780342700449e+08 -1.6676592865972751e+08 -1.6682698484199989e+08 -1.6688322540100640e+08 -1.6694033045398501e+08 -1.6699959286600703e+08 -1.6706067994502297e+08 -1.6712405073631364e+08 -1.6719071472564733e+08 -1.6726154306610510e+08 -1.6733768179948202e+08 -1.6742079873852611e+08 -1.6751290309036765e+08 -1.6761628140433946e+08 -1.6773355347497499e+08 -1.6786759396725139e+08 -1.6802081163299647e+08 -1.6819684340416387e+08 -1.6840877064892665e+08 -1.6866633685463157e+08 -1.6897071499917284e+08 -1.6932683809410763e+08 -1.6974323820555583e+08 -1.7023024967673832e+08 -1.7079985084149894e+08 -1.7146584240659913e+08 -1.7224407898978978e+08 -1.7315271698047486e+08 -1.7421248114205825e+08 -1.7544690168152860e+08 -1.7688255071896374e+08 -1.7854921468874484e+08 -1.8048000566547820e+08 -1.8271129211022440e+08 -1.8548872733608386e+08 -1.8871052468211496e+08 -1.9243028570322075e+08 -1.9670068026760271e+08 -2.0156935230312279e+08 -2.0707277577770066e+08 -2.1322744077577245e+08 -2.2001778043153375e+08 -2.2738087945894831e+08 -2.3518753772247007e+08 -2.4322943064831847e+08 -2.5119345017297420e+08 -2.5866114756018868e+08 -2.6515926587930733e+08 -2.7017825366377240e+08 -2.7326797475672650e+08 -2.7411198336169201e+08 -2.7260110467658544e+08 -2.6885861670170897e+08 -2.6320377925186208e+08 -2.5610228943625107e+08 -2.4806488707932070e+08 -2.3959495555607069e+08 -2.3111337733441448e+08 -2.2296103040263584e+08 -2.1538253251952550e+08 -2.0852882167381081e+08 -2.0250010950723472e+08 -1.9732794180585188e+08 -1.9300546952728775e+08 -1.8950839535806927e+08 -1.8676159178410110e+08 -1.8468712212151960e+08 -1.8318222903962722e+08 -1.8212343464408833e+08 -1.8140137206936470e+08 -1.8089668248780051e+08 -1.8051622947263417e+08 -1.8020064626558450e+08 -1.7999151594509795e+08 -1.7978488322185796e+08 -1.7957599523903909e+08 -1.7935793281965992e+08 -1.7913319684649810e+08 -1.7889862419900975e+08 -1.7864487295291901e+08 -1.7837434471608666e+08 -1.7808475716393930e+08 -1.7777076498538697e+08 -1.7742819378420612e+08 -1.7705197159261075e+08 -1.7663638409514484e+08 -1.7617665910688955e+08 -1.7565674586663085e+08 -1.7508109336783296e+08 -1.7443557515816510e+08 -1.7371081071136427e+08 -1.7289670594827220e+08 -1.7198285009398457e+08 -1.7095880169507611e+08 -1.6981632437681168e+08 -1.6854063438945600e+08 -1.6713240832554588e+08 -1.6558668553617865e+08 -1.6390704335128087e+08 -1.6210665910570183e+08 -1.6020795736985129e+08 -1.5825362467226249e+08 -1.5631022694082096e+08 -1.5446679909783572e+08 -1.5287511839544776e+08 -1.5173104265099490e+08 -1.5132291137455410e+08 -1.5205961897600341e+08 -1.5454612375292736e+08 -1.5969857748616746e+08 -1.6896934362618023e+08 -1.8477755666364148e+08 2.1770975965965635e+08 +1.2824608202734218e+00 -1.6815604059535155e+08 -1.6808864860236660e+08 -1.6797773873272496e+08 -1.6783662832168230e+08 -1.6770203655565438e+08 -1.6762943300861403e+08 -1.6764298681708336e+08 -1.6770110290536213e+08 -1.6776215463589841e+08 -1.6781840559868401e+08 -1.6787553286608070e+08 -1.6793483059337392e+08 -1.6799596888244873e+08 -1.6805941001044852e+08 -1.6812616599277326e+08 -1.6819711145227844e+08 -1.6827339670698696e+08 -1.6835669420867434e+08 -1.6844901855867741e+08 -1.6855266276891577e+08 -1.6867025415782133e+08 -1.6880467651063111e+08 -1.6895835169929099e+08 -1.6913493961031449e+08 -1.6934754269860175e+08 -1.6960591393367225e+08 -1.6991124087233761e+08 -1.7026847830805409e+08 -1.7068618390920854e+08 -1.7117472096116298e+08 -1.7174610019474840e+08 -1.7241415811944234e+08 -1.7319478833911556e+08 -1.7410618884716299e+08 -1.7516912767168158e+08 -1.7640717819829983e+08 -1.7784695296494639e+08 -1.7951827200393337e+08 -1.8145426831421733e+08 -1.8369130997823894e+08 -1.8647550272924775e+08 -1.8970454650797307e+08 -1.9343183762831858e+08 -1.9770969838991681e+08 -2.0258522610577688e+08 -2.0809407871411264e+08 -2.1425157994144347e+08 -2.2104056475459433e+08 -2.2839602882136390e+08 -2.3618619091730401e+08 -2.4419980305013475e+08 -2.5212071364165273e+08 -2.5952782727323261e+08 -2.6594651069966063e+08 -2.7086763514092094e+08 -2.7384381282855737e+08 -2.7456355092689741e+08 -2.7292411496808606e+08 -2.6905555406721574e+08 -2.6328295784155914e+08 -2.5607620303649440e+08 -2.4794815189773250e+08 -2.3940261748396942e+08 -2.3085953781637341e+08 -2.2265819745633930e+08 -2.1504132240062365e+08 -2.0815792838607156e+08 -2.0210657898034784e+08 -1.9691740280968085e+08 -1.9258235573531812e+08 -1.8907626073966333e+08 -1.8632318833972088e+08 -1.8424461375150555e+08 -1.8273724788962144e+08 -1.8167718420905891e+08 -1.8095472464985842e+08 -1.8045016099015808e+08 -1.8007011519670120e+08 -1.7975510860886413e+08 -1.7954644702591011e+08 -1.7934030849750224e+08 -1.7913193379963213e+08 -1.7891441245168751e+08 -1.7869023572555816e+08 -1.7845626397180665e+08 -1.7820309428162271e+08 -1.7793323918245503e+08 -1.7764437188138467e+08 -1.7733116028223884e+08 -1.7698944030690953e+08 -1.7661415252851894e+08 -1.7619959675795880e+08 -1.7574102921029708e+08 -1.7522235641755974e+08 -1.7464813149564421e+08 -1.7400421359624615e+08 -1.7328124538272986e+08 -1.7246915773429656e+08 -1.7155756561267766e+08 -1.7053605338088977e+08 -1.6939642102485198e+08 -1.6812384207721877e+08 -1.6671910228444538e+08 -1.6517720571230945e+08 -1.6350172084657004e+08 -1.6170579242375863e+08 -1.5981178955562568e+08 -1.5786229321634033e+08 -1.5592371943602279e+08 -1.5408481017201820e+08 -1.5249706916506961e+08 -1.5135582617044362e+08 -1.5094872196510452e+08 -1.5168361147613344e+08 -1.5416396384781820e+08 -1.5930367268574503e+08 -1.6855153159941208e+08 -1.8432059177671921e+08 2.1874917980819768e+08 +1.2874291430476799e+00 -1.6908920364176676e+08 -1.6902187416973385e+08 -1.6891108142227992e+08 -1.6877012052528736e+08 -1.6863568088783261e+08 -1.6856317639230457e+08 -1.6857675850331277e+08 -1.6863486506743023e+08 -1.6869591186293346e+08 -1.6875217272532415e+08 -1.6880932162353995e+08 -1.6886865391367838e+08 -1.6892984248026028e+08 -1.6899335276784286e+08 -1.6906019930329943e+08 -1.6913126013013634e+08 -1.6920768979649192e+08 -1.6929116532145998e+08 -1.6938370662151754e+08 -1.6948761308579177e+08 -1.6960551944874924e+08 -1.6974031849532539e+08 -1.6989444503888616e+08 -1.7007158162763742e+08 -1.7028485145866948e+08 -1.7054401678184286e+08 -1.7085027952280259e+08 -1.7120861592085084e+08 -1.7162760882017288e+08 -1.7211764994044295e+08 -1.7269078180629379e+08 -1.7336087601354253e+08 -1.7414386430192208e+08 -1.7505798525386181e+08 -1.7612404895235750e+08 -1.7736567051451790e+08 -1.7880950116314599e+08 -1.8048539244959244e+08 -1.8242649579991895e+08 -1.8466917591825587e+08 -1.8745997602037722e+08 -1.9069608518656573e+08 -1.9443068801279950e+08 -1.9871575153035077e+08 -2.0359781747150719e+08 -2.0911171765903491e+08 -2.1527159874815130e+08 -2.2205868727313358e+08 -2.2940588197986412e+08 -2.3717881816021562e+08 -2.4516333162673056e+08 -2.5304024868018362e+08 -2.6038586625426829e+08 -2.6672423138653195e+08 -2.7154670616242725e+08 -2.7440871799607193e+08 -2.7500377732929611e+08 -2.7323561085440117e+08 -2.6924102612585121e+08 -2.6335090215670878e+08 -2.5603924001849264e+08 -2.4782096751459730e+08 -2.3920027912926793e+08 -2.3059613310267359e+08 -2.2234619859499550e+08 -2.1469129863915867e+08 -2.0777852312206659e+08 -2.0170478865295181e+08 -1.9649881067207584e+08 -1.9215135476877865e+08 -1.8863636945801663e+08 -1.8587712851510498e+08 -1.8379452393774116e+08 -1.8228473954014441e+08 -1.8122344498557687e+08 -1.8050061535037807e+08 -1.7999619690499932e+08 -1.7961657315866113e+08 -1.7930215586733246e+08 -1.7909397157953775e+08 -1.7888833574400514e+08 -1.7868048294041052e+08 -1.7846351165763167e+08 -1.7823990344894081e+08 -1.7800654236056167e+08 -1.7775396440693471e+08 -1.7748479360124868e+08 -1.7719665849134028e+08 -1.7688424041555783e+08 -1.7654338578630376e+08 -1.7616904792581573e+08 -1.7575554100643095e+08 -1.7529814993416166e+08 -1.7478073872603869e+08 -1.7420796509217718e+08 -1.7356567408876947e+08 -1.7284453195523080e+08 -1.7203449494426253e+08 -1.7112520418215856e+08 -1.7010627027886286e+08 -1.6896953000985405e+08 -1.6770011434856245e+08 -1.6629891879703790e+08 -1.6476091206986234e+08 -1.6308965366161236e+08 -1.6129825516763899e+08 -1.5940902931849036e+08 -1.5746444977746168e+08 -1.5553078002152967e+08 -1.5369646496510175e+08 -1.5211272917126358e+08 -1.5097436602498466e+08 -1.5056830578682733e+08 -1.5130134691352814e+08 -1.5377544454203963e+08 -1.5890219644594789e+08 -1.6812676675854403e+08 -1.8385602325083348e+08 2.1978654787593853e+08 +1.2923974658219379e+00 -1.7002091770546615e+08 -1.6995364755998597e+08 -1.6984296916773161e+08 -1.6970215884521878e+08 -1.6956787009631053e+08 -1.6949546648925644e+08 -1.6950907434181088e+08 -1.6956717139966187e+08 -1.6962821296108365e+08 -1.6968448322519541e+08 -1.6974165320702535e+08 -1.6980101927324522e+08 -1.6986225718045452e+08 -1.6992583542360193e+08 -1.6999277105512398e+08 -1.7006394548811767e+08 -1.7014051743212566e+08 -1.7022416841463420e+08 -1.7031692358960670e+08 -1.7042108863152409e+08 -1.7053930558479208e+08 -1.7067447611263755e+08 -1.7082904778850916e+08 -1.7100672552846029e+08 -1.7122065292283621e+08 -1.7148060129867294e+08 -1.7178778673862481e+08 -1.7214720658921701e+08 -1.7256746844124648e+08 -1.7305899193717787e+08 -1.7363385078749520e+08 -1.7430595095358256e+08 -1.7509126145367253e+08 -1.7600806043951637e+08 -1.7707719883093688e+08 -1.7832233202159566e+08 -1.7977014817825782e+08 -1.8145052828173807e+08 -1.8339663967956001e+08 -1.8564484068908098e+08 -1.8844209698995298e+08 -1.9168508938990250e+08 -1.9542678429179701e+08 -1.9971878577150771e+08 -2.0460707104918504e+08 -2.1012563581076252e+08 -2.1628743903631273e+08 -2.2307208873504096e+08 -2.3041037910464790e+08 -2.3816535989762372e+08 -2.4611995836422747e+08 -2.5395200051414093e+08 -2.6123521503205976e+08 -2.6749238598523647e+08 -2.7221543430897081e+08 -2.7496266879959047e+08 -2.7543265257749015e+08 -2.7353559329424781e+08 -2.6941504339217573e+08 -2.6340763034124777e+08 -2.5599142408905694e+08 -2.4768336131364810e+08 -2.3898797003242391e+08 -2.3032319378394237e+08 -2.2202506472882828e+08 -2.1433249203009653e+08 -2.0739063633694237e+08 -2.0129476855101979e+08 -1.9607219498342189e+08 -1.9171249581986529e+08 -1.8818875036412331e+08 -1.8542344088316861e+08 -1.8333688103636786e+08 -1.8182473218529409e+08 -1.8076224504851794e+08 -1.8003907215837371e+08 -1.7953481815411538e+08 -1.7915563122778425e+08 -1.7884181586397830e+08 -1.7863411739738759e+08 -1.7842899272096479e+08 -1.7822167038860443e+08 -1.7800525813100004e+08 -1.7778222767539540e+08 -1.7754948698714516e+08 -1.7729751091290957e+08 -1.7702903551450768e+08 -1.7674164449115434e+08 -1.7643003283432373e+08 -1.7609005761814851e+08 -1.7571668512194231e+08 -1.7530424411379567e+08 -1.7484804848018116e+08 -1.7433191991478756e+08 -1.7376062119107452e+08 -1.7311998356983352e+08 -1.7240069725072351e+08 -1.7159274427402255e+08 -1.7068579235752681e+08 -1.6966947878532827e+08 -1.6853567755176353e+08 -1.6726947722746703e+08 -1.6587188366991290e+08 -1.6433783017670631e+08 -1.6267086710451254e+08 -1.6088407236745492e+08 -1.5899970139538315e+08 -1.5706011879068342e+08 -1.5513143283170208e+08 -1.5330178732797587e+08 -1.5172212201918522e+08 -1.5058668564312240e+08 -1.5018168620425949e+08 -1.5091284876658383e+08 -1.5338058969809040e+08 -1.5849417342487007e+08 -1.6769507519246942e+08 -1.8338387961775345e+08 2.2082183907581201e+08 +1.2973657885961960e+00 -1.7095113308541059e+08 -1.7088392551933977e+08 -1.7077335991446471e+08 -1.7063269984673965e+08 -1.7049856155605534e+08 -1.7042625787049440e+08 -1.7043989107070148e+08 -1.7049797839088884e+08 -1.7055901448391795e+08 -1.7061529369925719e+08 -1.7067248416670790e+08 -1.7073188320634356e+08 -1.7079316950801998e+08 -1.7085681447813460e+08 -1.7092383772827539e+08 -1.7099512399637386e+08 -1.7107183605971390e+08 -1.7115565990805581e+08 -1.7124862585560304e+08 -1.7135304576494482e+08 -1.7147156888513297e+08 -1.7160710563630322e+08 -1.7176211616815311e+08 -1.7194032746828750e+08 -1.7215490316888776e+08 -1.7241562346795312e+08 -1.7272371839313710e+08 -1.7308420605669954e+08 -1.7350571836372870e+08 -1.7399870236353028e+08 -1.7457526234088755e+08 -1.7524933789673311e+08 -1.7603693446580300e+08 -1.7695636874137476e+08 -1.7802853125603691e+08 -1.7927711621744555e+08 -1.8072884698543951e+08 -1.8241363187332901e+08 -1.8436465163436183e+08 -1.8661825518148360e+08 -1.8942181556207171e+08 -1.9267150794822174e+08 -1.9642007407563922e+08 -2.0071874739353555e+08 -2.0561293171223763e+08 -2.1113577662563702e+08 -2.1729904294559768e+08 -2.2408071023714760e+08 -2.3140946077482149e+08 -2.3914575705274448e+08 -2.4706962579923299e+08 -2.5485591499495533e+08 -2.6207582482899359e+08 -2.6825093328391951e+08 -2.7287378792654979e+08 -2.7550564453262514e+08 -2.7585016738511539e+08 -2.7382406387670982e+08 -2.6957761692129993e+08 -2.6345316098651907e+08 -2.5593277931552136e+08 -2.4753536096889910e+08 -2.3876571996697700e+08 -2.3004075064330441e+08 -2.2169482693206993e+08 -2.1396493351226684e+08 -2.0699429861691052e+08 -2.0087654882491100e+08 -1.9563758545278615e+08 -1.9126580819616657e+08 -1.8773343242229351e+08 -1.8496215412922683e+08 -1.8287171351489615e+08 -1.8135725412907374e+08 -1.8029361258215725e+08 -1.7957012317079499e+08 -1.7906605276891428e+08 -1.7868731738294905e+08 -1.7837411653161985e+08 -1.7816691238009012e+08 -1.7796230729714778e+08 -1.7775552398028377e+08 -1.7753967967377809e+08 -1.7731723617195278e+08 -1.7708512558163413e+08 -1.7683376149198481e+08 -1.7656599257297739e+08 -1.7627935748605138e+08 -1.7596856509500816e+08 -1.7562948330539036e+08 -1.7525709156160769e+08 -1.7484573346013418e+08 -1.7439075215641487e+08 -1.7387592721291628e+08 -1.7330612693220511e+08 -1.7266716907907981e+08 -1.7194976819656333e+08 -1.7114393252475092e+08 -1.7023935679776484e+08 -1.6922570540084368e+08 -1.6809488997285146e+08 -1.6683195683991212e+08 -1.6543802281075469e+08 -1.6390798570082104e+08 -1.6224538658270776e+08 -1.6046326915127611e+08 -1.5858383061978650e+08 -1.5664932478666711e+08 -1.5472570209527096e+08 -1.5290080120519772e+08 -1.5132527140629536e+08 -1.5019280854473254e+08 -1.4978888667385024e+08 -1.5051814060561544e+08 -1.5297942327154714e+08 -1.5807962837731346e+08 -1.6725648309255451e+08 -1.8290418952128321e+08 2.2185502883588102e+08 +1.3023341113704541e+00 -1.7187981080085623e+08 -1.7181266342755368e+08 -1.7170221203758815e+08 -1.7156170119790882e+08 -1.7142771123551315e+08 -1.7135550775700012e+08 -1.7136916534123063e+08 -1.7142724281250012e+08 -1.7148827309209692e+08 -1.7154456084596729e+08 -1.7160177112481010e+08 -1.7166120233595040e+08 -1.7172253607298857e+08 -1.7178624651774055e+08 -1.7185335588764647e+08 -1.7192475220813671e+08 -1.7200160220908800e+08 -1.7208559630558258e+08 -1.7217876989515239e+08 -1.7228344092884615e+08 -1.7240226575374284e+08 -1.7253816342459795e+08 -1.7269360648245615e+08 -1.7287234368817043e+08 -1.7308755836089808e+08 -1.7334903936058766e+08 -1.7365803044749385e+08 -1.7401957015563551e+08 -1.7444231426826066e+08 -1.7493673672316942e+08 -1.7551497176234439e+08 -1.7619099189581811e+08 -1.7698083810691014e+08 -1.7790286459719723e+08 -1.7897800028022844e+08 -1.8022997670746610e+08 -1.8168555067311746e+08 -1.8337465571622667e+08 -1.8533048347162941e+08 -1.8758937042173010e+08 -1.9039908180762088e+08 -1.9365528985230535e+08 -1.9741050515372902e+08 -2.0171558287672278e+08 -2.0661534456139097e+08 -2.1214208382037902e+08 -2.1830635291736329e+08 -2.2508449322796533e+08 -2.3240306798050871e+08 -2.4011995102666029e+08 -2.4801227702033749e+08 -2.5575193859944177e+08 -2.6290764755967361e+08 -2.6899983281181395e+08 -2.7352173612344444e+08 -2.7603762523714459e+08 -2.7625631316724586e+08 -2.7410102481745195e+08 -2.6972875830390006e+08 -2.6348751312533990e+08 -2.5586333012271756e+08 -2.4737699443927622e+08 -2.3853355893733981e+08 -2.2974883465396383e+08 -2.2135551644068640e+08 -2.1358865416844812e+08 -2.0658954067922914e+08 -2.0045015974689019e+08 -1.9519501190674302e+08 -1.9081132131946248e+08 -1.8727044470876911e+08 -1.8449329704925308e+08 -1.8239904995096010e+08 -1.8088233378527686e+08 -1.7981757588045761e+08 -1.7909379659333697e+08 -1.7858992888882956e+08 -1.7821165971136829e+08 -1.7789908591040459e+08 -1.7769238453572381e+08 -1.7748830744860440e+08 -1.7728207165933436e+08 -1.7706680419595391e+08 -1.7684495681349877e+08 -1.7661348598181599e+08 -1.7636274394351503e+08 -1.7609569253356925e+08 -1.7580982518821523e+08 -1.7549986486051252e+08 -1.7516169045807621e+08 -1.7479029479591963e+08 -1.7438003653160405e+08 -1.7392628837689319e+08 -1.7341278795499933e+08 -1.7284450956024331e+08 -1.7220725776067978e+08 -1.7149177182377124e+08 -1.7068808660071054e+08 -1.6978592426478991e+08 -1.6877497672778210e+08 -1.6764719369717059e+08 -1.6638757941311947e+08 -1.6499736222742382e+08 -1.6347140440935197e+08 -1.6181323760200956e+08 -1.6003587074478260e+08 -1.5816144192204052e+08 -1.5623209239099014e+08 -1.5431361213509995e+08 -1.5249353063381761e+08 -1.5092220112202457e+08 -1.4979275834121186e+08 -1.4938993074255374e+08 -1.5011724609234524e+08 -1.5257196931125787e+08 -1.5765858615382773e+08 -1.6681101675128344e+08 -1.8241698171615550e+08 2.2288609279860789e+08 +1.3073024341447121e+00 -1.7280690362509829e+08 -1.7273981807173124e+08 -1.7262947905716321e+08 -1.7248911825829566e+08 -1.7235527661012763e+08 -1.7228317162531230e+08 -1.7229685437754741e+08 -1.7235492143643039e+08 -1.7241594552373371e+08 -1.7247224139385268e+08 -1.7252947078732854e+08 -1.7258893337110937e+08 -1.7265031356688356e+08 -1.7271408821579921e+08 -1.7278128218605614e+08 -1.7285278676150352e+08 -1.7292977249540833e+08 -1.7301393419673231e+08 -1.7310731227020925e+08 -1.7321223065178135e+08 -1.7333135268046615e+08 -1.7346760592252532e+08 -1.7362347512369719e+08 -1.7380273051662895e+08 -1.7401857475055969e+08 -1.7428080513633075e+08 -1.7459067895258731e+08 -1.7495325480904379e+08 -1.7537721192768240e+08 -1.7587305061279926e+08 -1.7645293444221100e+08 -1.7713086810049582e+08 -1.7792292724526739e+08 -1.7884750254716712e+08 -1.7992556006228730e+08 -1.8118086720741975e+08 -1.8264021244471797e+08 -1.8433355242358842e+08 -1.8629408712690434e+08 -1.8855813757289988e+08 -1.9137384594592282e+08 -1.9463638425604862e+08 -1.9839802549525070e+08 -2.0270923890395316e+08 -2.0761425492679217e+08 -2.1314450137512305e+08 -2.1930931169761541e+08 -2.2608337951053479e+08 -2.3339114212441313e+08 -2.4108788370110658e+08 -2.4894785566873845e+08 -2.5664001843097249e+08 -2.6373063582938477e+08 -2.6973904483677018e+08 -2.7415924876488698e+08 -2.7655859169850916e+08 -2.7665108203377694e+08 -2.7436647895083010e+08 -2.6986847965933973e+08 -2.6351070622798601e+08 -2.5578310128775555e+08 -2.4720828996661884e+08 -2.3829151717540357e+08 -2.2944747697720399e+08 -2.2100716465074053e+08 -2.1320368522171155e+08 -2.0617639337034297e+08 -2.0001563171104413e+08 -1.9474450428824583e+08 -1.9034906472484854e+08 -1.8679981641134566e+08 -1.8401689854936334e+08 -1.8191891903088632e+08 -1.8039999967591444e+08 -1.7933416334512299e+08 -1.7861012073922819e+08 -1.7810647476126173e+08 -1.7772868640729973e+08 -1.7741675214810410e+08 -1.7721056198006827e+08 -1.7700702125860059e+08 -1.7680134147627020e+08 -1.7658665971369731e+08 -1.7636541758092564e+08 -1.7613459613113207e+08 -1.7588448617336529e+08 -1.7561816325955138e+08 -1.7533307541526237e+08 -1.7502395989971891e+08 -1.7468670679105276e+08 -1.7431632248086512e+08 -1.7390718091951716e+08 -1.7345468466031298e+08 -1.7294252957984152e+08 -1.7237579642410496e+08 -1.7174027686246929e+08 -1.7102673526715446e+08 -1.7022523350900128e+08 -1.6932552162333438e+08 -1.6831731947055700e+08 -1.6719261525024721e+08 -1.6593637127456245e+08 -1.6454992802705315e+08 -1.6302811216805559e+08 -1.6137444576568389e+08 -1.5960190246980748e+08 -1.5773256032682991e+08 -1.5580844632356268e+08 -1.5389518736650771e+08 -1.5207999974275503e+08 -1.5051293504635912e+08 -1.4938655873372906e+08 -1.4898484204740456e+08 -1.4971018897856933e+08 -1.5215825195776713e+08 -1.5723107169971013e+08 -1.6635870256173125e+08 -1.8192228506670544e+08 2.2391500682012510e+08 +1.3122707569189702e+00 -1.7373237542798775e+08 -1.7366534666673774e+08 -1.7355512147462159e+08 -1.7341490843868554e+08 -1.7328121496500427e+08 -1.7320920670730856e+08 -1.7322291464801604e+08 -1.7328097102947760e+08 -1.7334198860525709e+08 -1.7339829210971507e+08 -1.7345553995357490e+08 -1.7351503310175675e+08 -1.7357645876351553e+08 -1.7364029633225933e+08 -1.7370757336620760e+08 -1.7377918438019758e+08 -1.7385630362174186e+08 -1.7394063025844496e+08 -1.7403420962990063e+08 -1.7413937155055654e+08 -1.7425878624330515e+08 -1.7439538966357064e+08 -1.7455167857234558e+08 -1.7473144437132692e+08 -1.7494790867969102e+08 -1.7521087704543847e+08 -1.7552162005061725e+08 -1.7588521603233537e+08 -1.7631036720869425e+08 -1.7680759972430080e+08 -1.7738910586857024e+08 -1.7806892175958017e+08 -1.7886315685068125e+08 -1.7979023723599723e+08 -1.8087116486866468e+08 -1.8212974154542315e+08 -1.8359278562095407e+08 -1.8529027473169455e+08 -1.8725541466663888e+08 -1.8952450793763131e+08 -1.9234605834744269e+08 -1.9561474047831637e+08 -1.9938258325288248e+08 -2.0369966236270130e+08 -2.0860960837087443e+08 -2.1414297353579021e+08 -2.2030786233914688e+08 -2.2707731124395433e+08 -2.3437362502462712e+08 -2.4204949743894717e+08 -2.4987630593971890e+08 -2.5752010221842906e+08 -2.6454474293466154e+08 -2.7046853036271793e+08 -2.7478629647174007e+08 -2.7706852544043112e+08 -2.7703446678382230e+08 -2.7462042972552079e+08 -2.6999679363128239e+08 -2.6352276019658482e+08 -2.5569211793643114e+08 -2.4702927607070091e+08 -2.3803962513782954e+08 -2.2913670895931858e+08 -2.2064980311675784e+08 -2.1281005803587848e+08 -2.0575488766395003e+08 -1.9957299523131150e+08 -1.9428609265533194e+08 -1.8987906805936691e+08 -1.8632157682766753e+08 -1.8353298764399341e+08 -1.8143134954900292e+08 -1.7991028043052438e+08 -1.7884340348442763e+08 -1.7811912402836090e+08 -1.7761571873954031e+08 -1.7723842577150193e+08 -1.7692714349826893e+08 -1.7672147293399414e+08 -1.7651847691627347e+08 -1.7631336158737826e+08 -1.7609927434877980e+08 -1.7587864656094688e+08 -1.7564848407886788e+08 -1.7539901619222575e+08 -1.7513343271926099e+08 -1.7484913609012035e+08 -1.7454087808570999e+08 -1.7420456012381601e+08 -1.7383520237668169e+08 -1.7342719431876200e+08 -1.7297596862876815e+08 -1.7246517962978786e+08 -1.7190001497568193e+08 -1.7126625373486635e+08 -1.7055468576332885e+08 -1.6975540035869795e+08 -1.6885817583863878e+08 -1.6785276043390721e+08 -1.6673118125699824e+08 -1.6547835885053068e+08 -1.6409574641530883e+08 -1.6257813493986809e+08 -1.6092903677318335e+08 -1.5916138974337068e+08 -1.5729721095387027e+08 -1.5537841139712021e+08 -1.5347045229732993e+08 -1.5166023275173369e+08 -1.5009749714977431e+08 -1.4897423351302159e+08 -1.4857364431445876e+08 -1.4929699310580412e+08 -1.5173829544234937e+08 -1.5679711005451000e+08 -1.6589956701611242e+08 -1.8142012854647243e+08 2.2494174696950439e+08 +1.3172390796932283e+00 -1.7465617538020217e+08 -1.7458920686251423e+08 -1.7447909351565209e+08 -1.7433902667992321e+08 -1.7420548125585592e+08 -1.7413357047819158e+08 -1.7414730273998433e+08 -1.7420534840834385e+08 -1.7426635926093867e+08 -1.7432266985742214e+08 -1.7437993551413912e+08 -1.7443945839424798e+08 -1.7450092851891512e+08 -1.7456482771398780e+08 -1.7463218626304609e+08 -1.7470390187538686e+08 -1.7478115238014278e+08 -1.7486564125808078e+08 -1.7495941871302307e+08 -1.7506482033160487e+08 -1.7518452311049658e+08 -1.7532147127130362e+08 -1.7547817339993826e+08 -1.7565844176147431e+08 -1.7587551658172402e+08 -1.7613921143089789e+08 -1.7645080997754261e+08 -1.7681540993555081e+08 -1.7724173607353067e+08 -1.7774033984731907e+08 -1.7832344162815374e+08 -1.7900510822301224e+08 -1.7980148199659911e+08 -1.8073102341458550e+08 -1.8181476907592860e+08 -1.8307655366340807e+08 -1.8454322364185211e+08 -1.8624477550209758e+08 -1.8821441828961611e+08 -1.9048843295987931e+08 -1.9331566953576362e+08 -1.9659030800580034e+08 -2.0036412676424903e+08 -2.0468680034803295e+08 -2.0960135069049031e+08 -2.1513744481612638e+08 -2.2130194820373553e+08 -2.2806623094623926e+08 -2.3535045891572917e+08 -2.4300473508661556e+08 -2.5079757258330712e+08 -2.5839213831709459e+08 -2.6534992286019775e+08 -2.7118825112726635e+08 -2.7540285061435437e+08 -2.7756740872079015e+08 -2.7740646090084803e+08 -2.7486288119898158e+08 -2.7011371338198674e+08 -2.6352369536010110e+08 -2.5559040553796148e+08 -2.4683998154702458e+08 -2.3777791350331998e+08 -2.2881656213013268e+08 -2.2028346354875970e+08 -2.1240780411212227e+08 -2.0532505466063437e+08 -1.9912228094036704e+08 -1.9381980717981148e+08 -1.8940136108102158e+08 -1.8583575536428681e+08 -1.8304159345567858e+08 -1.8093637040663379e+08 -1.7941320478474101e+08 -1.7834532491297033e+08 -1.7762083498619941e+08 -1.7711768928288451e+08 -1.7674090620952544e+08 -1.7643028831926441e+08 -1.7622514572399265e+08 -1.7602270271528926e+08 -1.7581816025307757e+08 -1.7560467632788730e+08 -1.7538467194423795e+08 -1.7515517797815725e+08 -1.7490636211467934e+08 -1.7464152898466471e+08 -1.7435803523912957e+08 -1.7405064739564905e+08 -1.7371527837894073e+08 -1.7334696234713963e+08 -1.7294010452722278e+08 -1.7249016800739726e+08 -1.7198076574935994e+08 -1.7141719276866916e+08 -1.7078521583011746e+08 -1.7007565065010586e+08 -1.6927861435962316e+08 -1.6838391397659498e+08 -1.6738132652247229e+08 -1.6626291844130322e+08 -1.6501356866576424e+08 -1.6363484369510522e+08 -1.6212149878434616e+08 -1.6047703641965652e+08 -1.5871435807721019e+08 -1.5685541901557446e+08 -1.5494201251662180e+08 -1.5303943152589345e+08 -1.5123425397072262e+08 -1.4967591149100482e+08 -1.4855580655787510e+08 -1.4815636135795337e+08 -1.4887768240414789e+08 -1.5131212408648831e+08 -1.5635672635075483e+08 -1.6543363670554805e+08 -1.8091054123575318e+08 2.2596628952802551e+08 +1.3222074024674864e+00 -1.7557826440131730e+08 -1.7551135605783245e+08 -1.7540135502138615e+08 -1.7526143456182349e+08 -1.7512803422840625e+08 -1.7505621929711252e+08 -1.7506997604053041e+08 -1.7512801067438996e+08 -1.7518901449443185e+08 -1.7524533161811450e+08 -1.7530261444392151e+08 -1.7536216619387135e+08 -1.7542367977395001e+08 -1.7548763929729769e+08 -1.7555507780370092e+08 -1.7562689614705244e+08 -1.7570427565350625e+08 -1.7578892405393377e+08 -1.7588289634937093e+08 -1.7598853379272482e+08 -1.7610852004220387e+08 -1.7624580746165684e+08 -1.7640291627036199e+08 -1.7658367928909332e+08 -1.7680135498393729e+08 -1.7706576472996682e+08 -1.7737820506424671e+08 -1.7774379272504929e+08 -1.7817127458231315e+08 -1.7867122686991918e+08 -1.7925589740845114e+08 -1.7993938294355893e+08 -1.8073785786179832e+08 -1.8166981594285637e+08 -1.8275632717266828e+08 -1.8402125761989683e+08 -1.8549148006846210e+08 -1.8719700772401524e+08 -1.8917105032975698e+08 -1.9144986422762197e+08 -1.9428263018995622e+08 -1.9756303649513406e+08 -2.0134260455497575e+08 -2.0567060016484094e+08 -2.1058942791987991e+08 -2.1612786000108713e+08 -2.2229151296500680e+08 -2.2905008149649513e+08 -2.3632158645194790e+08 -2.4395353997549364e+08 -2.5171160090465620e+08 -2.5925607570809373e+08 -2.6614613027895737e+08 -2.7189816959953576e+08 -2.7600888331107765e+08 -2.7805522452647239e+08 -2.7776705854650468e+08 -2.7509383802998662e+08 -2.7021925258644849e+08 -2.6351353246997571e+08 -2.5547798990223196e+08 -2.4664043546277794e+08 -2.3750641316978073e+08 -2.2848706820041761e+08 -2.1990817781185427e+08 -2.1199695508877406e+08 -2.0488692558570769e+08 -1.9866351958848652e+08 -1.9334567814669886e+08 -1.8891597365747660e+08 -1.8534238153584331e+08 -1.8254274521340343e+08 -1.8043401061071208e+08 -1.7890880157925370e+08 -1.7783995634986791e+08 -1.7711528224304178e+08 -1.7661241495415244e+08 -1.7623615623101118e+08 -1.7592621507385224e+08 -1.7572160877964157e+08 -1.7551972705286080e+08 -1.7531576583812475e+08 -1.7510289398058644e+08 -1.7488352202521682e+08 -1.7465470608534691e+08 -1.7440655215894625e+08 -1.7414248023099896e+08 -1.7385980099132746e+08 -1.7355329590865940e+08 -1.7321888958199820e+08 -1.7285163035755429e+08 -1.7244593944486982e+08 -1.7199731062257242e+08 -1.7148931568448389e+08 -1.7092735745820975e+08 -1.7029719070081046e+08 -1.6958965736579981e+08 -1.6879490282100591e+08 -1.6790276320229855e+08 -1.6690304473933557e+08 -1.6578785362540260e+08 -1.6454202734224242e+08 -1.6316724626586273e+08 -1.6165822985665855e+08 -1.6001847059462434e+08 -1.5826083307646373e+08 -1.5640720981722701e+08 -1.5449927467840746e+08 -1.5260214974098474e+08 -1.5080208779834583e+08 -1.4924820221760723e+08 -1.4813130183514398e+08 -1.4773301707921225e+08 -1.4845228089114103e+08 -1.5087976230074045e+08 -1.5590994581284693e+08 -1.6496093831823638e+08 -1.8039355232209378e+08 2.2698861098844332e+08 +1.3271757252417444e+00 -1.7649859741598004e+08 -1.7643174870994645e+08 -1.7632185921793416e+08 -1.7618208528398570e+08 -1.7604883121910095e+08 -1.7597711130635920e+08 -1.7599089184582329e+08 -1.7604891504878482e+08 -1.7610991133955017e+08 -1.7616623446268639e+08 -1.7622353379494616e+08 -1.7628311353270677e+08 -1.7634466955658939e+08 -1.7640868811031839e+08 -1.7647620500952798e+08 -1.7654812418740240e+08 -1.7662563041730076e+08 -1.7671043559776202e+08 -1.7680459946237561e+08 -1.7691046882565209e+08 -1.7703073389220870e+08 -1.7716835504459909e+08 -1.7732586394221076e+08 -1.7750711365121457e+08 -1.7772538050928074e+08 -1.7799049347640648e+08 -1.7830376173933628e+08 -1.7867032070562282e+08 -1.7909893889458501e+08 -1.7960021678196895e+08 -1.8018642899981776e+08 -1.8087170147938600e+08 -1.8167223973282996e+08 -1.8260656979110187e+08 -1.8369579376165256e+08 -1.8496380759165150e+08 -1.8643750858592239e+08 -1.8814692451625144e+08 -1.9012526325765952e+08 -1.9240875347462693e+08 -1.9524689114679149e+08 -1.9853287577469912e+08 -2.0231796534055105e+08 -2.0665100932995385e+08 -2.1157378633218929e+08 -2.1711416414819333e+08 -2.2327650061058053e+08 -2.3002880613649470e+08 -2.3728695070783845e+08 -2.4489585592281407e+08 -2.5261833676629156e+08 -2.6011186399908209e+08 -2.6693332055079123e+08 -2.7259824897763848e+08 -2.7660436742217022e+08 -2.7853195656890923e+08 -2.7811625455526865e+08 -2.7531330547559476e+08 -2.7031342542711216e+08 -2.6349229269515643e+08 -2.5535489717417747e+08 -2.4643066715346831e+08 -2.3722515525165206e+08 -2.2814825905946669e+08 -2.1952397792328250e+08 -2.1157754273862278e+08 -2.0444053178768912e+08 -1.9819674204218906e+08 -1.9286373595216465e+08 -1.8842293576520601e+08 -1.8484148496357596e+08 -1.8203647225167993e+08 -1.7992429927316707e+08 -1.7839709975932065e+08 -1.7732732661831725e+08 -1.7660249453228649e+08 -1.7609992441990936e+08 -1.7572420444936621e+08 -1.7541495232738465e+08 -1.7521089063395470e+08 -1.7500957842934605e+08 -1.7480620680929473e+08 -1.7459395573931503e+08 -1.7437522520019332e+08 -1.7414709675934157e+08 -1.7389961464475504e+08 -1.7363631473493788e+08 -1.7335446157763255e+08 -1.7304885180582702e+08 -1.7271542185917526e+08 -1.7234923447490057e+08 -1.7194472707230288e+08 -1.7149742440158191e+08 -1.7099085728129756e+08 -1.7043053679882839e+08 -1.6980220599957401e+08 -1.6909673344777828e+08 -1.6830429315125030e+08 -1.6741475077856684e+08 -1.6641794218497658e+08 -1.6530601372804791e+08 -1.6406376159789085e+08 -1.6269298062222925e+08 -1.6118835440642607e+08 -1.5955336528161061e+08 -1.5780084043882239e+08 -1.5595260875546423e+08 -1.5405022296917832e+08 -1.5215863172059792e+08 -1.5036375872181529e+08 -1.4881439356428993e+08 -1.4770074339770687e+08 -1.4730363546616155e+08 -1.4802081267138067e+08 -1.5044123458403897e+08 -1.5545679375659612e+08 -1.6448149863904139e+08 -1.7986919109869581e+08 2.2800868805425602e+08 +1.3321440480160025e+00 -1.7741713490491208e+08 -1.7735034527398077e+08 -1.7724056670511195e+08 -1.7710093625559333e+08 -1.7696782793309546e+08 -1.7689620383963990e+08 -1.7691000687957600e+08 -1.7696801870452923e+08 -1.7702900687579826e+08 -1.7708533553757951e+08 -1.7714265069949538e+08 -1.7720225754228058e+08 -1.7726385498545903e+08 -1.7732793127606228e+08 -1.7739552499491721e+08 -1.7746754308137405e+08 -1.7754517374078876e+08 -1.7763013293616277e+08 -1.7772448507093728e+08 -1.7783058241731429e+08 -1.7795112161027959e+08 -1.7808907092607331e+08 -1.7824697327028129e+08 -1.7842870164184812e+08 -1.7864754987780893e+08 -1.7891335430233297e+08 -1.7922743653036630e+08 -1.7959495028229553e+08 -1.8002468527147791e+08 -1.8052726567568904e+08 -1.8111499229778376e+08 -1.8180201949479833e+08 -1.8260458300533372e+08 -1.8354124004167810e+08 -1.8463312356139800e+08 -1.8590415787579137e+08 -1.8738126300423074e+08 -1.8909447912917003e+08 -1.9107700968379501e+08 -1.9336505258318228e+08 -1.9620840340301171e+08 -1.9949977584806547e+08 -2.0329015802902189e+08 -2.0762797557490203e+08 -2.1255437244296286e+08 -2.1809630259043854e+08 -2.2425685544443166e+08 -2.3100234847472832e+08 -2.3824649518149173e+08 -2.4583162723445362e+08 -2.5351772658746848e+08 -2.6095945342285675e+08 -2.6771144972076932e+08 -2.7328845318550384e+08 -2.7718927654842305e+08 -2.7899758927845091e+08 -2.7845404443025273e+08 -2.7552128938338047e+08 -2.7039624658878207e+08 -2.6345999761640173e+08 -2.5522115383107904e+08 -2.4621070621940511e+08 -2.3693417107698923e+08 -2.2780016677335811e+08 -2.1913089605095333e+08 -2.1114959896817106e+08 -2.0398590473785907e+08 -1.9772197928261426e+08 -1.9237401110306028e+08 -1.8792227748818713e+08 -1.8433309537460470e+08 -1.8152280400951660e+08 -1.7940726560914320e+08 -1.7787812837325951e+08 -1.7680746464399874e+08 -1.7608250068982214e+08 -1.7558024644890252e+08 -1.7520507957915699e+08 -1.7489652874698043e+08 -1.7469301992117226e+08 -1.7449228544627985e+08 -1.7428951173510775e+08 -1.7407789013767609e+08 -1.7385980996689484e+08 -1.7363237845989034e+08 -1.7338557799303201e+08 -1.7312306087426284e+08 -1.7284204532955685e+08 -1.7253734336847204e+08 -1.7220490343755239e+08 -1.7183980286590981e+08 -1.7143649551010737e+08 -1.7099053737111676e+08 -1.7048541848541501e+08 -1.6992675864447960e+08 -1.6930028947732359e+08 -1.6859690653134435e+08 -1.6780681285594445e+08 -1.6691990406607261e+08 -1.6592604605690801e+08 -1.6481742576421165e+08 -1.6357879824648246e+08 -1.6221207335358304e+08 -1.6071189877683824e+08 -1.5908174655627480e+08 -1.5733440595361775e+08 -1.5549164131727704e+08 -1.5359488256510583e+08 -1.5170890233125928e+08 -1.4991929131562847e+08 -1.4837450985197270e+08 -1.4726415538472345e+08 -1.4686824059243739e+08 -1.4758330193543705e+08 -1.4999656552255145e+08 -1.5499729558813888e+08 -1.6399534454818913e+08 -1.7933748696269056e+08 2.2902649763897085e+08 +1.3371123707902606e+00 -1.7833383151707813e+08 -1.7826709978920799e+08 -1.7815743129067349e+08 -1.7801794688267744e+08 -1.7788498207531369e+08 -1.7781345270983195e+08 -1.7782727886818987e+08 -1.7788527873787031e+08 -1.7794625834076923e+08 -1.7800259208833647e+08 -1.7805992238407585e+08 -1.7811955546244293e+08 -1.7818119327372006e+08 -1.7824532601464054e+08 -1.7831299496898997e+08 -1.7838511001092932e+08 -1.7846286278978530e+08 -1.7854797321272799e+08 -1.7864251029030460e+08 -1.7874883165126210e+08 -1.7886964024362919e+08 -1.7900791210984036e+08 -1.7916620120764735e+08 -1.7934840015376931e+08 -1.7956781990919220e+08 -1.7983430393977913e+08 -1.8014918606594986e+08 -1.8051763796212712e+08 -1.8094847007727268e+08 -1.8145232974893591e+08 -1.8204154330437940e+08 -1.8273029276374775e+08 -1.8353484318653914e+08 -1.8447378189145294e+08 -1.8556827140891615e+08 -1.8684226289192730e+08 -1.8832269726157308e+08 -1.9003962494713342e+08 -1.9202624235891119e+08 -1.9431871358545715e+08 -1.9716711811727124e+08 -2.0046368689473376e+08 -2.0425913172284782e+08 -2.0860144684800062e+08 -2.1353113301154545e+08 -2.1907422093891731e+08 -2.2523252208943540e+08 -2.3197065248589876e+08 -2.3920016379543784e+08 -2.4676079870487517e+08 -2.5440971734564558e+08 -2.6179879483828980e+08 -2.6848047451825488e+08 -2.7396874687160975e+08 -2.7776358502568215e+08 -2.7945210780068839e+08 -2.7878042433576554e+08 -2.7571779618677104e+08 -2.7046773125330096e+08 -2.6341666922294366e+08 -2.5507678667733774e+08 -2.4598058252290672e+08 -2.3663349218460119e+08 -2.2744282358187646e+08 -2.1872896451166907e+08 -2.1071315581567642e+08 -2.0352307602787429e+08 -1.9723926240514016e+08 -1.9187653421550456e+08 -1.8741402901670367e+08 -1.8381724259998360e+08 -1.8100177002929804e+08 -1.7888293893677214e+08 -1.7735191657103413e+08 -1.7628039945423341e+08 -1.7555532965324157e+08 -1.7505340991096774e+08 -1.7467881043635616e+08 -1.7437097310093293e+08 -1.7416802537682638e+08 -1.7396787680608609e+08 -1.7376570928433108e+08 -1.7355472580943137e+08 -1.7333730492341858e+08 -1.7311057974658346e+08 -1.7286447072467244e+08 -1.7260274712655762e+08 -1.7232258067844355e+08 -1.7201879897757390e+08 -1.7168736264294648e+08 -1.7132336379632410e+08 -1.7092127295780116e+08 -1.7047667765637425e+08 -1.6997302734078968e+08 -1.6941605094697756e+08 -1.6879146898250416e+08 -1.6809020434960741e+08 -1.6730248953801411e+08 -1.6641825052138019e+08 -1.6542738364822888e+08 -1.6432211684398207e+08 -1.6308716419554067e+08 -1.6172455114263245e+08 -1.6022888940382060e+08 -1.5860364058628350e+08 -1.5686155550101808e+08 -1.5502433307965389e+08 -1.5313327873083317e+08 -1.5125298652672169e+08 -1.4946871024065089e+08 -1.4792857548740017e+08 -1.4682156201991636e+08 -1.4642685661592153e+08 -1.4713977295893320e+08 -1.4954577978902602e+08 -1.5453147680277890e+08 -1.6350250302062532e+08 -1.7879846941489816e+08 2.3004201686537051e+08 +1.3420806935645186e+00 -1.7924864437075990e+08 -1.7918197052026883e+08 -1.7907241257329088e+08 -1.7893307187660769e+08 -1.7880025118118912e+08 -1.7872881585513976e+08 -1.7874266540970343e+08 -1.7880065246511200e+08 -1.7886162315209717e+08 -1.7891796148032933e+08 -1.7897530618283775e+08 -1.7903496464251727e+08 -1.7909664173468408e+08 -1.7916082964488277e+08 -1.7922857223614761e+08 -1.7930078225684848e+08 -1.7937865482702461e+08 -1.7946391366905949e+08 -1.7955863233490342e+08 -1.7966517371048036e+08 -1.7978624693883404e+08 -1.7992483569884202e+08 -1.8008350480736202e+08 -1.8026616617992270e+08 -1.8048614752412775e+08 -1.8075329922296181e+08 -1.8106896707754669e+08 -1.8143834035602164e+08 -1.8187024978211567e+08 -1.8237536530560398e+08 -1.8296603813004345e+08 -1.8365647717058212e+08 -1.8446297589714080e+08 -1.8540415065410596e+08 -1.8650119226085347e+08 -1.8777807718377054e+08 -1.8926176542499173e+08 -1.9098231549011141e+08 -1.9297291417770249e+08 -1.9526968866612729e+08 -1.9812298661282492e+08 -2.0142455927335033e+08 -2.0522483572174865e+08 -2.0957137131653219e+08 -2.1450401504400206e+08 -2.2004786508434689e+08 -2.2620344548839024e+08 -2.3293366251500654e+08 -2.4014790089877769e+08 -2.4768331561975843e+08 -2.5529425657714376e+08 -2.6262983973019037e+08 -2.6924035235570461e+08 -2.7463909540502971e+08 -2.7832726792188740e+08 -2.7989549799092478e+08 -2.7909539109349906e+08 -2.7590283289961189e+08 -2.7052789509424049e+08 -2.6336232990638986e+08 -2.5492182284156406e+08 -2.4574032618404028e+08 -2.3632315032180259e+08 -2.2707626189741284e+08 -2.1831821576946059e+08 -2.1026824544973609e+08 -2.0305207736901879e+08 -1.9674862261729199e+08 -1.9137133601348117e+08 -1.8689822064636615e+08 -1.8329395657525218e+08 -1.8047339995587027e+08 -1.7835134867566606e+08 -1.7681849360412553e+08 -1.7574616017718822e+08 -1.7502101045998645e+08 -1.7451944377587050e+08 -1.7414542593685058e+08 -1.7383831425714886e+08 -1.7363593583570415e+08 -1.7343638131064683e+08 -1.7323482822553208e+08 -1.7302449148822331e+08 -1.7280773876710102e+08 -1.7258172927838546e+08 -1.7233632145942953e+08 -1.7207540206812057e+08 -1.7179609615374973e+08 -1.7149324711256066e+08 -1.7116282789975467e+08 -1.7079994563030624e+08 -1.7039908771249288e+08 -1.6995587348052421e+08 -1.6945371198822519e+08 -1.6889844175498456e+08 -1.6827577246035856e+08 -1.6757665473122698e+08 -1.6679135089566016e+08 -1.6590981769634464e+08 -1.6492198234635878e+08 -1.6382011417118973e+08 -1.6258888644609362e+08 -1.6123044076483068e+08 -1.5973935281479239e+08 -1.5811907362999314e+08 -1.5638231505071986e+08 -1.5455070970812121e+08 -1.5266543681875965e+08 -1.5079090934729689e+08 -1.4901204024314761e+08 -1.4747661496185553e+08 -1.4637298761110923e+08 -1.4597950777863321e+08 -1.4669025010162556e+08 -1.4908890214163551e+08 -1.5405936298431993e+08 -1.6300300112489906e+08 -1.7825216805844161e+08 2.3105522306477901e+08 +1.3470490163387767e+00 -1.8016153306729043e+08 -1.8009491713209930e+08 -1.7998546860710135e+08 -1.7984627113855591e+08 -1.7971359305972764e+08 -1.7964225104099983e+08 -1.7965612323248437e+08 -1.7971409746202299e+08 -1.7977505884216672e+08 -1.7983140118657771e+08 -1.7988875954558301e+08 -1.7994844253775650e+08 -1.8001015778603792e+08 -1.8007439958471125e+08 -1.8014221419772711e+08 -1.8021451720080763e+08 -1.8029250721564648e+08 -1.8037791164695185e+08 -1.8047280851917219e+08 -1.8057956587870479e+08 -1.8070089894358552e+08 -1.8083979889820901e+08 -1.8099884122417411e+08 -1.8118195681622633e+08 -1.8140248974662513e+08 -1.8167029708995125e+08 -1.8198673640143767e+08 -1.8235701418119892e+08 -1.8278998096254373e+08 -1.8329632875877380e+08 -1.8388843299586555e+08 -1.8458052871247289e+08 -1.8538893687265366e+08 -1.8633230176124364e+08 -1.8743184119600022e+08 -1.8871155542151237e+08 -1.9019842169373769e+08 -1.9192250441609883e+08 -1.9391697818046519e+08 -1.9621793016459274e+08 -1.9907596037940818e+08 -2.0238234352404115e+08 -2.0618721952459657e+08 -2.1053769736974987e+08 -2.1547296579526505e+08 -2.2101718120036864e+08 -2.2716957090871018e+08 -2.3389132327905852e+08 -2.4108965126982069e+08 -2.4859912375638536e+08 -2.5617129237774217e+08 -2.6345254020824909e+08 -2.6999104132667440e+08 -2.7529946487369543e+08 -2.7888030103305364e+08 -2.8032774641015321e+08 -2.7939894217645103e+08 -2.7607640711003339e+08 -2.7057675427087015e+08 -2.6329700245741451e+08 -2.5475628977120271e+08 -2.4548996757823196e+08 -2.3600317744143543e+08 -2.2670051430185515e+08 -2.1789868243338448e+08 -2.0981490016769230e+08 -2.0257294059053716e+08 -1.9625009123797300e+08 -1.9085844732793266e+08 -1.8637488277682471e+08 -1.8276326733747059e+08 -1.7993772353504092e+08 -1.7781252434579369e+08 -1.7627788882351559e+08 -1.7520477604046157e+08 -1.7447957224705935e+08 -1.7397837711290631e+08 -1.7360495509562820e+08 -1.7329858118220890e+08 -1.7309678023113039e+08 -1.7289782786043757e+08 -1.7269689742532855e+08 -1.7248721600551182e+08 -1.7227114029312772e+08 -1.7204585581252047e+08 -1.7180115891503859e+08 -1.7154105437308770e+08 -1.7126262038308209e+08 -1.7096071635010263e+08 -1.7063132772967380e+08 -1.7026957682852229e+08 -1.6986996816810924e+08 -1.6942815316268706e+08 -1.6892750066521728e+08 -1.6837395921324396e+08 -1.6775322795185250e+08 -1.6705628560047761e+08 -1.6627342472217119e+08 -1.6539463323699206e+08 -1.6440986963304502e+08 -1.6331144504303479e+08 -1.6208399209177810e+08 -1.6072976908694842e+08 -1.5924331562833643e+08 -1.5762807203572473e+08 -1.5589671066147602e+08 -1.5407079695601255e+08 -1.5219138226798025e+08 -1.5032269591907227e+08 -1.4854930615419912e+08 -1.4701865285040101e+08 -1.4591845654956865e+08 -1.4552621840536484e+08 -1.4623475780665782e+08 -1.4862595742336199e+08 -1.5358097980430973e+08 -1.6249686602170324e+08 -1.7769861259766307e+08 2.3206609377632535e+08 +1.3520173391130348e+00 -1.8107245206899604e+08 -1.8100589650078177e+08 -1.8089655523359010e+08 -1.8075750193604296e+08 -1.8062496512173519e+08 -1.8055371678624150e+08 -1.8056761002995458e+08 -1.8062557134583426e+08 -1.8068652304563048e+08 -1.8074286875719312e+08 -1.8080024003806359e+08 -1.8085994670366234e+08 -1.8092169895515865e+08 -1.8098599335195181e+08 -1.8105387835343486e+08 -1.8112627232836056e+08 -1.8120437741961545e+08 -1.8128992458993250e+08 -1.8138499626049384e+08 -1.8149196554203862e+08 -1.8161355360870820e+08 -1.8175275901570052e+08 -1.8191216771694288e+08 -1.8209572926274669e+08 -1.8231680370526066e+08 -1.8258525458419377e+08 -1.8290245098044732e+08 -1.8327361626194125e+08 -1.8370762030481610e+08 -1.8421517663193792e+08 -1.8480868423551840e+08 -1.8550240350076097e+08 -1.8631268196625656e+08 -1.8725819076478419e+08 -1.8836017341701165e+08 -1.8964265240384290e+08 -1.9113262040037850e+08 -1.9286014552285823e+08 -1.9485838755434456e+08 -1.9716339057657585e+08 -2.0002599107528397e+08 -2.0333699037000671e+08 -2.0714623283139834e+08 -2.1150037362012851e+08 -2.1643793277180418e+08 -2.2198211574525747e+08 -2.2813084394225034e+08 -2.3484357986859408e+08 -2.4202536011631250e+08 -2.4950816938555577e+08 -2.5704077340368596e+08 -2.6426684900715119e+08 -2.7073250020541614e+08 -2.7594982208188885e+08 -2.7942266087960541e+08 -2.8074884031915021e+08 -2.7969107570431161e+08 -2.7623852697650832e+08 -2.7061432542431438e+08 -2.6322071005983290e+08 -2.5458021522997048e+08 -2.4522953733282265e+08 -2.3567360569942251e+08 -2.2631561354521075e+08 -2.1747039725546622e+08 -2.0935315239413697e+08 -2.0208569763818642e+08 -1.9574369969588572e+08 -1.9033789909558108e+08 -1.8584404591086406e+08 -1.8222520502533504e+08 -1.7939477061288851e+08 -1.7726649556629986e+08 -1.7573013167932543e+08 -1.7465627636998513e+08 -1.7393104424978438e+08 -1.7343023908904684e+08 -1.7305742702487752e+08 -1.7275180294031984e+08 -1.7255058759428766e+08 -1.7235224545304367e+08 -1.7215194584782371e+08 -1.7194292829018885e+08 -1.7172753839383551e+08 -1.7150298820253545e+08 -1.7125901190599713e+08 -1.7099973281190929e+08 -1.7072218209020931e+08 -1.7042123536326343e+08 -1.7009289075018194e+08 -1.6973228594804963e+08 -1.6933394281450891e+08 -1.6889354511786860e+08 -1.6839442170434055e+08 -1.6784263156131470e+08 -1.6722386359209684e+08 -1.6652912497556800e+08 -1.6574873890440899e+08 -1.6487272488276067e+08 -1.6389107308187196e+08 -1.6279613684851795e+08 -1.6157250831720987e+08 -1.6022256306662720e+08 -1.5874080455241853e+08 -1.5713066224033424e+08 -1.5540476847976410e+08 -1.5358462066339412e+08 -1.5171114060316411e+08 -1.4984837145283362e+08 -1.4808053288853732e+08 -1.4655471381073779e+08 -1.4545799330826208e+08 -1.4506701290293434e+08 -1.4577332059961900e+08 -1.4815697056098318e+08 -1.5309635302034986e+08 -1.6198412496402839e+08 -1.7713783283677906e+08 2.3307460674620861e+08 +1.3569856618872929e+00 -1.8198136037311119e+08 -1.8191486361119333e+08 -1.8180563168462676e+08 -1.8166671999551296e+08 -1.8153432399008992e+08 -1.8146316978396749e+08 -1.8147708350145423e+08 -1.8153503177283192e+08 -1.8159597346610984e+08 -1.8165232181456110e+08 -1.8170970533732057e+08 -1.8176943479439795e+08 -1.8183122288053998e+08 -1.8189556856511220e+08 -1.8196352230515730e+08 -1.8203600523037097e+08 -1.8211422300693759e+08 -1.8219991004482803e+08 -1.8229515307957348e+08 -1.8240233019072989e+08 -1.8252416838981563e+08 -1.8266367346455330e+08 -1.8282344164976153e+08 -1.8300744082525316e+08 -1.8322904663552937e+08 -1.8349812885746768e+08 -1.8381606786608383e+08 -1.8418810353278857e+08 -1.8462312460567409e+08 -1.8513186556097025e+08 -1.8572674829676771e+08 -1.8642205776391023e+08 -1.8723416714993328e+08 -1.8818177333908713e+08 -1.8928614425263780e+08 -1.9057132305970389e+08 -1.9206431601327980e+08 -1.9379519275039250e+08 -1.9579709563671032e+08 -1.9810602255708271e+08 -2.0097303052936149e+08 -2.0428845072023588e+08 -2.0810182554631168e+08 -2.1245934890675354e+08 -2.1739886373291132e+08 -2.2294261546431896e+08 -2.2908721050863975e+08 -2.3579037775011042e+08 -2.4295497307801393e+08 -2.5041039927263969e+08 -2.5790264887110373e+08 -2.6507271948692366e+08 -2.7146468844446808e+08 -2.7659013454671448e+08 -2.7995432470244682e+08 -2.8115876767506123e+08 -2.7997179043703651e+08 -2.7638920121990180e+08 -2.7064062567184407e+08 -2.6313347628733361e+08 -2.5439362729323786e+08 -2.4495906632364067e+08 -2.3533446745172513e+08 -2.2592159254255351e+08 -2.1703339313027811e+08 -2.0888303467918515e+08 -2.0159038057338008e+08 -1.9522947952848580e+08 -1.8980972235748932e+08 -1.8530574065308678e+08 -1.8167979987779272e+08 -1.7884457113475767e+08 -1.7671329205505094e+08 -1.7517525171942967e+08 -1.7410069058947825e+08 -1.7337545580057937e+08 -1.7287505896813837e+08 -1.7250287093431434e+08 -1.7219800869256467e+08 -1.7199738705279273e+08 -1.7179966318297854e+08 -1.7160000255356538e+08 -1.7139165736717001e+08 -1.7117696205806023e+08 -1.7095315539873609e+08 -1.7070990934258473e+08 -1.7045146625132757e+08 -1.7017481009471583e+08 -1.6987483292054641e+08 -1.6954754567433003e+08 -1.6918810164081776e+08 -1.6879104023611838e+08 -1.6835207785562491e+08 -1.6785450353225976e+08 -1.6730448713241088e+08 -1.6668770760993814e+08 -1.6599520096810475e+08 -1.6521732142173806e+08 -1.6434412046511284e+08 -1.6336562035886064e+08 -1.6227421706787702e+08 -1.6105446239763722e+08 -1.5970884975110766e+08 -1.5823184638400611e+08 -1.5662687076883584e+08 -1.5490651473904061e+08 -1.5309220675632364e+08 -1.5122473743405274e+08 -1.4936796124336186e+08 -1.4760574544395718e+08 -1.4608482258321103e+08 -1.4499162244206241e+08 -1.4460191575930816e+08 -1.4530596308749756e+08 -1.4768196656414053e+08 -1.5260550847619292e+08 -1.6146480529484484e+08 -1.7656985867970160e+08 2.3408073992696115e+08 +1.3619539846615509e+00 -1.8288821843005663e+08 -1.8282177814377588e+08 -1.8271265594051459e+08 -1.8257388321936676e+08 -1.8244162928550479e+08 -1.8237056819430777e+08 -1.8238450194155657e+08 -1.8244243641400966e+08 -1.8250336783354855e+08 -1.8255971808933762e+08 -1.8261711322641832e+08 -1.8267686456487051e+08 -1.8273868731450090e+08 -1.8280308294635689e+08 -1.8287110375800601e+08 -1.8294367360459262e+08 -1.8302200165058523e+08 -1.8310782566365397e+08 -1.8320323660285667e+08 -1.8331061742157120e+08 -1.8343270084920022e+08 -1.8357249976500165e+08 -1.8373262049414548e+08 -1.8391704891772527e+08 -1.8413917588159198e+08 -1.8440887716988286e+08 -1.8472754422012246e+08 -1.8510043303897104e+08 -1.8553645077450073e+08 -1.8604635229602560e+08 -1.8664258174341273e+08 -1.8733944784854266e+08 -1.8815334851678547e+08 -1.8910300528245234e+08 -1.9020970915932217e+08 -1.9149752245018518e+08 -1.9299346313797653e+08 -1.9472760018216658e+08 -1.9673305591639411e+08 -1.9904577892157781e+08 -2.0191703074379575e+08 -2.0523667567085820e+08 -2.0905394777905560e+08 -2.1341457229646996e+08 -2.1835570669392917e+08 -2.2389862739157000e+08 -2.3003861685724893e+08 -2.3673166276786265e+08 -2.4387843622859040e+08 -2.5130576067887601e+08 -2.5875686855817136e+08 -2.6587010563111985e+08 -2.7218756617404950e+08 -2.7722037049713910e+08 -2.8047527045917773e+08 -2.8155751712579906e+08 -2.8024108577046150e+08 -2.7652843912057889e+08 -2.7065567260160697e+08 -2.6303532509739688e+08 -2.5419655434427899e+08 -2.4467858567142403e+08 -2.3498579525211102e+08 -2.2551848437270287e+08 -2.1658770309121022e+08 -2.0840457969698450e+08 -2.0108702157122302e+08 -1.9470746238080418e+08 -1.8927394825818172e+08 -1.8475999770871735e+08 -1.8112708223270825e+08 -1.7828715514351857e+08 -1.7615294362713453e+08 -1.7461327858832431e+08 -1.7353804821870112e+08 -1.7281283632792294e+08 -1.7231286611043552e+08 -1.7194131612899050e+08 -1.7163722769538623e+08 -1.7143720782985225e+08 -1.7124011023985657e+08 -1.7104109669818890e+08 -1.7083343235673842e+08 -1.7061944036913124e+08 -1.7039638644555038e+08 -1.7015388022995579e+08 -1.6989628365237260e+08 -1.6962053331032309e+08 -1.6932153788486990e+08 -1.6899532130918258e+08 -1.6863705265250906e+08 -1.6824128911117533e+08 -1.6780377997857264e+08 -1.6730777466904163e+08 -1.6675955435327849e+08 -1.6614478832703662e+08 -1.6545454178155404e+08 -1.6467920034575376e+08 -1.6380884790698072e+08 -1.6283353922031501e+08 -1.6174571327130386e+08 -1.6052988169766074e+08 -1.5918865627600670e+08 -1.5771646800757027e+08 -1.5611672423323336e+08 -1.5440197575898361e+08 -1.5259358124604392e+08 -1.5073219845428035e+08 -1.4888149066785523e+08 -1.4712496889979860e+08 -1.4560900398832175e+08 -1.4451936858600155e+08 -1.4413095154292744e+08 -1.4483270995821106e+08 -1.4720097052429155e+08 -1.5210847210016704e+08 -1.6093893444709468e+08 -1.7599472012780568e+08 2.3508447147671199e+08 +1.3669223074358090e+00 -1.8379298011725748e+08 -1.8372659880804873e+08 -1.8361758268863532e+08 -1.8347895353140187e+08 -1.8334684069793284e+08 -1.8327586793639839e+08 -1.8328982325711423e+08 -1.8334774310965624e+08 -1.8340866394212359e+08 -1.8346501546385214e+08 -1.8352242158884004e+08 -1.8358219387513578e+08 -1.8364405012034312e+08 -1.8370849432209957e+08 -1.8377658052432898e+08 -1.8384923525664487e+08 -1.8392767113111031e+08 -1.8401362920561162e+08 -1.8410920456446356e+08 -1.8421678493852648e+08 -1.8433910865714473e+08 -1.8447919554544714e+08 -1.8463966183054179e+08 -1.8482451106391305e+08 -1.8504714889784774e+08 -1.8531745689323366e+08 -1.8563683731600115e+08 -1.8601056193948540e+08 -1.8644755583567274e+08 -1.8695859370364052e+08 -1.8755614125765806e+08 -1.8825453022088709e+08 -1.8907018228260353e+08 -1.9002184251907185e+08 -1.9113082372308749e+08 -1.9242120577052635e+08 -1.9392001652009907e+08 -1.9565732204822043e+08 -1.9766622203521472e+08 -1.9998261264859894e+08 -2.0285794389547732e+08 -2.0618161650869644e+08 -2.1000254984768769e+08 -2.1436599308702508e+08 -2.1930840992830646e+08 -2.2485009885311720e+08 -2.3098500956927255e+08 -2.3766738114633188e+08 -2.4479569607690552e+08 -2.5219420136227065e+08 -2.5960338280446512e+08 -2.6665896204799768e+08 -2.7290109419953948e+08 -2.7784049886855656e+08 -2.8098547682007372e+08 -2.8194507800562364e+08 -2.8049896173097110e+08 -2.7665625051165169e+08 -2.7065948426718670e+08 -2.6292628082844695e+08 -2.5398902507032099e+08 -2.4438812673939785e+08 -2.3462762184988835e+08 -2.2510632227589121e+08 -2.1613336031038719e+08 -2.0791782024467963e+08 -2.0057565291942215e+08 -1.9417768000385472e+08 -1.8873060804443637e+08 -1.8420684788281304e+08 -1.8056708252568197e+08 -1.7772255277940792e+08 -1.7558548019338635e+08 -1.7404424202632880e+08 -1.7296837887308463e+08 -1.7224321535520345e+08 -1.7174368997059861e+08 -1.7137279200891793e+08 -1.7106948929996595e+08 -1.7087007924253583e+08 -1.7067361590762830e+08 -1.7047525753166920e+08 -1.7026828247324291e+08 -1.7005500250468248e+08 -1.6983271048163751e+08 -1.6959095366708818e+08 -1.6933421406957468e+08 -1.6905938074448144e+08 -1.6876137921206528e+08 -1.6843624655477858e+08 -1.6807916782188448e+08 -1.6768471821060833e+08 -1.6724868018232790e+08 -1.6675426372671503e+08 -1.6620786174195379e+08 -1.6559513415611097e+08 -1.6490717571084133e+08 -1.6413440383820355e+08 -1.6326693522138113e+08 -1.6229485751246133e+08 -1.6121065311823866e+08 -1.5999879367040187e+08 -1.5866200986506766e+08 -1.5719469639504364e+08 -1.5560024933138216e+08 -1.5389117794379765e+08 -1.5208877022766036e+08 -1.5023354944072244e+08 -1.4838898518603888e+08 -1.4663822841668507e+08 -1.4512728292767325e+08 -1.4404125645485896e+08 -1.4365414490139645e+08 -1.4435358597922346e+08 -1.4671400761416656e+08 -1.5160526990420398e+08 -1.6040653994240642e+08 -1.7541244727982241e+08 2.3608577975845000e+08 +1.3718906302100671e+00 -1.8469560583043826e+08 -1.8462928029223898e+08 -1.8452037367055795e+08 -1.8438188366941449e+08 -1.8424990958978245e+08 -1.8417902941423833e+08 -1.8419300495385274e+08 -1.8425091004042220e+08 -1.8431181975507933e+08 -1.8436817197879207e+08 -1.8442558840412104e+08 -1.8448538069317234e+08 -1.8454726927139658e+08 -1.8461176062771988e+08 -1.8467991052466053e+08 -1.8475264810133624e+08 -1.8483118933860207e+08 -1.8491727853860196e+08 -1.8501301480759791e+08 -1.8512079055562326e+08 -1.8524334959401217e+08 -1.8538371854518262e+08 -1.8554452335090065e+08 -1.8572978489879525e+08 -1.8595292325085869e+08 -1.8622382551245171e+08 -1.8654390454177570e+08 -1.8691844750812554e+08 -1.8735639692940223e+08 -1.8786854676810870e+08 -1.8846738364119428e+08 -1.8916726147022310e+08 -1.8998462478819564e+08 -1.9093824110105512e+08 -1.9204944366189116e+08 -1.9334232835234964e+08 -1.9484393104646808e+08 -1.9658431272620514e+08 -1.9859654779217374e+08 -2.0091647688157371e+08 -2.0379572233869144e+08 -2.0712322471186081e+08 -2.1094758228019658e+08 -2.1531356080841511e+08 -2.2025692196921334e+08 -2.2579697746849677e+08 -2.3192633555972171e+08 -2.3859747949108535e+08 -2.4570669956850350e+08 -2.5307566957914698e+08 -2.6044214251154315e+08 -2.6743924396889973e+08 -2.7360523400139731e+08 -2.7845048930330974e+08 -2.8148492316475189e+08 -2.8232144033016509e+08 -2.8074541897006917e+08 -2.7677264577430093e+08 -2.7065207918366820e+08 -2.6280636819374219e+08 -2.5377106845928490e+08 -2.4408772113030764e+08 -2.3425998018640128e+08 -2.2468513965130797e+08 -2.1567039809622011e+08 -2.0742278924022558e+08 -2.0005630701718992e+08 -1.9364016425390378e+08 -1.8817973306404749e+08 -1.8364632207878068e+08 -1.7999983128977627e+08 -1.7715079427797985e+08 -1.7501093176034516e+08 -1.7346817186833397e+08 -1.7239171226208335e+08 -1.7166662250033590e+08 -1.7116756009730777e+08 -1.7079732806756309e+08 -1.7049482295083961e+08 -1.7029603070231491e+08 -1.7010020956356359e+08 -1.6990251439700478e+08 -1.6969623702390844e+08 -1.6948367773502469e+08 -1.6926215673876354e+08 -1.6902115884524721e+08 -1.6876528665000099e+08 -1.6849138149663106e+08 -1.6819438595047358e+08 -1.6787035040319487e+08 -1.6751447607939753e+08 -1.6712135639682204e+08 -1.6668680725332394e+08 -1.6619399940864703e+08 -1.6564943790755302e+08 -1.6503877360059553e+08 -1.6435313114065650e+08 -1.6358296015107295e+08 -1.6271841051038751e+08 -1.6174960316998920e+08 -1.6066906435615951e+08 -1.5946122585607144e+08 -1.5812893782826674e+08 -1.5666655860394222e+08 -1.5507747284615329e+08 -1.5337414778242752e+08 -1.5157779987932515e+08 -1.4972881625202340e+08 -1.4789047033847415e+08 -1.4614554923551649e+08 -1.4463968438157001e+08 -1.4355731084212497e+08 -1.4317152056081501e+08 -1.4386861599698788e+08 -1.4622110308678007e+08 -1.5109592798325938e+08 -1.5986764938976669e+08 -1.7482307032985169e+08 2.3708464333928463e+08 +1.3768589529843251e+00 -1.8559605300270393e+08 -1.8552978547035214e+08 -1.8542098590404224e+08 -1.8528263588798830e+08 -1.8515080013876459e+08 -1.8508000940150082e+08 -1.8509400511253163e+08 -1.8515189558402592e+08 -1.8521279343095791e+08 -1.8526914579139441e+08 -1.8532657174781135e+08 -1.8538638309520146e+08 -1.8544830284682757e+08 -1.8551283990990406e+08 -1.8558105179118747e+08 -1.8565387016356179e+08 -1.8573251427409801e+08 -1.8581873164114147e+08 -1.8591462528665760e+08 -1.8602259219825765e+08 -1.8614538155270103e+08 -1.8628602661606911e+08 -1.8644716285935587e+08 -1.8663282817079127e+08 -1.8685645662118253e+08 -1.8712794062710539e+08 -1.8744870340070266e+08 -1.8782404713566533e+08 -1.8826293131457502e+08 -1.8877616859349206e+08 -1.8937626581753325e+08 -1.9007759830905074e+08 -1.9089663250058466e+08 -1.9185215721051252e+08 -1.9296552482723543e+08 -1.9426084566538969e+08 -1.9576516174754155e+08 -1.9750852674358678e+08 -1.9952398714243287e+08 -2.0184732493120396e+08 -2.0473031860651225e+08 -2.0806145195286363e+08 -2.1188899581747475e+08 -2.1625722522589448e+08 -2.2120119161285391e+08 -2.2673921115266380e+08 -2.3286254207973900e+08 -2.3952190479170537e+08 -2.4661139408790523e+08 -2.5395011408504215e+08 -2.6127309914396960e+08 -2.6821090724844417e+08 -2.7429994773223412e+08 -2.7905031214529473e+08 -2.8197358957815665e+08 -2.8268659479230332e+08 -2.8098045875877273e+08 -2.7687763583169991e+08 -2.7063347632223356e+08 -2.6267561227854764e+08 -2.5354271379525441e+08 -2.4377740068230969e+08 -2.3388290339356467e+08 -2.2425497005544081e+08 -2.1519884989157265e+08 -2.0691951972116312e+08 -1.9952901637338534e+08 -1.9309494709084699e+08 -1.8762135476445156e+08 -1.8307845129735318e+08 -1.7942535915353814e+08 -1.7657190997005194e+08 -1.7442932842802393e+08 -1.7288509804285547e+08 -1.7180807818841457e+08 -1.7108308747362757e+08 -1.7058450613175908e+08 -1.7021495389070666e+08 -1.6991325818496200e+08 -1.6971509171204907e+08 -1.6951992067714882e+08 -1.6932289672936961e+08 -1.6911732540800020e+08 -1.6890549542282942e+08 -1.6868475453975597e+08 -1.6844452504768601e+08 -1.6818953063256624e+08 -1.6791656475825700e+08 -1.6762058723968604e+08 -1.6729766193782637e+08 -1.6694300644652951e+08 -1.6655123262298119e+08 -1.6611819006874314e+08 -1.6562701050819632e+08 -1.6508431154891491e+08 -1.6447573525369543e+08 -1.6379243654499260e+08 -1.6302489762449843e+08 -1.6216330196464738e+08 -1.6119780421537593e+08 -1.6012097481951803e+08 -1.5891720588175726e+08 -1.5758946756170693e+08 -1.5613208177655959e+08 -1.5454842164464042e+08 -1.5285091184645215e+08 -1.5106069646150696e+08 -1.4921802482819563e+08 -1.4738597174611342e+08 -1.4564695667611799e+08 -1.4414623340923190e+08 -1.4306755661915603e+08 -1.4268310332507798e+08 -1.4337782493601206e+08 -1.4572228227416876e+08 -1.5058047251421782e+08 -1.5932229048525864e+08 -1.7422661956754562e+08 2.3808104098970899e+08 +1.3818272757585832e+00 -1.8649427945594662e+08 -1.8642806871218482e+08 -1.8631937617227739e+08 -1.8618116528976786e+08 -1.8604946838277313e+08 -1.8597876798494938e+08 -1.8599278227541724e+08 -1.8605065780982885e+08 -1.8611154324464095e+08 -1.8616789513053307e+08 -1.8622532979719454e+08 -1.8628515926421729e+08 -1.8634710902999660e+08 -1.8641169032878023e+08 -1.8647996246847695e+08 -1.8655285957914028e+08 -1.8663160405184224e+08 -1.8671794660500422e+08 -1.8681399406875876e+08 -1.8692214790507782e+08 -1.8704516253862613e+08 -1.8718607772348449e+08 -1.8734753827496862e+08 -1.8753359874366143e+08 -1.8775770680555114e+08 -1.8802975995285785e+08 -1.8835119151383850e+08 -1.8872731833138767e+08 -1.8916711636987746e+08 -1.8968141640563709e+08 -1.9028274483374906e+08 -1.9098549757601148e+08 -1.9180616201567948e+08 -1.9276354716128093e+08 -1.9387902320590809e+08 -1.9517671331913343e+08 -1.9668366379901367e+08 -1.9842991878016117e+08 -2.0044849420151767e+08 -2.0277511027678078e+08 -2.0566168541360757e+08 -2.0899625010065734e+08 -2.1282674141477391e+08 -2.1719693634128702e+08 -2.2214116791876498e+08 -2.2767674811859575e+08 -2.3379357671848288e+08 -2.4044060442298853e+08 -2.4750972745887044e+08 -2.5481748413541344e+08 -2.6209620472895211e+08 -2.6897390836363339e+08 -2.7498519821557379e+08 -2.7963993843922716e+08 -2.8245145684606510e+08 -2.8304053275650603e+08 -2.8120408298339075e+08 -2.7697123214481121e+08 -2.7060369510407603e+08 -2.6253403853439283e+08 -2.5330399065539134e+08 -2.4345719746634156e+08 -2.3349642479037935e+08 -2.2381584719979039e+08 -2.1471874927170095e+08 -2.0640804484346682e+08 -1.9899381360531715e+08 -1.9254206057691282e+08 -1.8705550469185051e+08 -1.8250326663564593e+08 -1.7884369683977556e+08 -1.7598593027988002e+08 -1.7384070038985100e+08 -1.7229505057077655e+08 -1.7121750654703879e+08 -1.7049264007766420e+08 -1.6999455780739754e+08 -1.6962569915636456e+08 -1.6932482463089675e+08 -1.6912729186649451e+08 -1.6893277880909091e+08 -1.6873643405506140e+08 -1.6853157711602363e+08 -1.6832048502122068e+08 -1.6810053329890898e+08 -1.6786108164829412e+08 -1.6760697534631327e+08 -1.6733495981060255e+08 -1.6704001230932042e+08 -1.6671821033167246e+08 -1.6636478803451779e+08 -1.6597437593173447e+08 -1.6554285759502617e+08 -1.6505332590778735e+08 -1.6451251145380330e+08 -1.6390604779649341e+08 -1.6322512048622197e+08 -1.6246024468698990e+08 -1.6160163786207002e+08 -1.6063948875799340e+08 -1.5956641242917410e+08 -1.5836676145999375e+08 -1.5704362654628587e+08 -1.5559129313940525e+08 -1.5401312267705834e+08 -1.5232149678998402e+08 -1.5053748631606892e+08 -1.4870120118949088e+08 -1.4687551510880190e+08 -1.4514247613701513e+08 -1.4364695514691967e+08 -1.4257201873411691e+08 -1.4218891807482621e+08 -1.4288123779780480e+08 -1.4521757058690244e+08 -1.5005892975501046e+08 -1.5877049101026988e+08 -1.7362312537553552e+08 2.3907495168286020e+08 +1.3867955985328413e+00 -1.8739024207578900e+08 -1.8732408958883181e+08 -1.8721550387653506e+08 -1.8707743175395781e+08 -1.8694587376552427e+08 -1.8687526079742965e+08 -1.8688929500595093e+08 -1.8694715469255736e+08 -1.8700802751831457e+08 -1.8706437829116470e+08 -1.8712182084049278e+08 -1.8718166749165130e+08 -1.8724364610866970e+08 -1.8730827016016161e+08 -1.8737660081686938e+08 -1.8744957459646839e+08 -1.8752841690044636e+08 -1.8761488163601756e+08 -1.8771107933555844e+08 -1.8781941582954341e+08 -1.8794265067360541e+08 -1.8808382994890249e+08 -1.8824560763280839e+08 -1.8843205459752992e+08 -1.8865663171756414e+08 -1.8892924132457891e+08 -1.8925132662153527e+08 -1.8962821872529164e+08 -1.9006890959589672e+08 -1.9058424755371946e+08 -1.9118677786218506e+08 -1.9189091623719656e+08 -1.9271317005959234e+08 -1.9367236740017465e+08 -1.9478989492193937e+08 -1.9608988706502184e+08 -1.9759939252395013e+08 -1.9934844366920534e+08 -2.0137002324667311e+08 -2.0369978656890482e+08 -2.0658977565791729e+08 -2.0992757122196427e+08 -2.1376077024343649e+08 -2.1813264439601338e+08 -2.2307680021409923e+08 -2.2860953687926218e+08 -2.3471938740484583e+08 -2.4135352614708319e+08 -2.4840164794720310e+08 -2.5567772948747310e+08 -2.6291141185711876e+08 -2.6972820441360182e+08 -2.7566094894513148e+08 -2.8021933992584306e+08 -2.8291850645229673e+08 -2.8338324625543308e+08 -2.8141629413935363e+08 -2.7705344670623672e+08 -2.7056275539753878e+08 -2.6238167277576846e+08 -2.5305492890559557e+08 -2.4312714378392997e+08 -2.3310057788145471e+08 -2.2336780494924837e+08 -2.1423012994382930e+08 -2.0588839787902105e+08 -1.9845073143803442e+08 -1.9198153687570634e+08 -1.8648221448977718e+08 -1.8192079928578806e+08 -1.7825487516545960e+08 -1.7539288572412500e+08 -1.7324507793080252e+08 -1.7169805956452161e+08 -1.7062002732384062e+08 -1.6989531020568022e+08 -1.6939774494773272e+08 -1.6902959363242844e+08 -1.6872955200731093e+08 -1.6853266085042027e+08 -1.6833881361027738e+08 -1.6814315599055597e+08 -1.6793902172806954e+08 -1.6772867607311037e+08 -1.6750952251968107e+08 -1.6727085811047000e+08 -1.6701765020996687e+08 -1.6674659602434957e+08 -1.6645269047794995e+08 -1.6613202484700671e+08 -1.6577985004330635e+08 -1.6539081545453605e+08 -1.6496083888693047e+08 -1.6447297457797185e+08 -1.6393406649754104e+08 -1.6332973999818018e+08 -1.6265121161333394e+08 -1.6188902985302639e+08 -1.6103344656640729e+08 -1.6007468499272770e+08 -1.5900540519097546e+08 -1.5780992038757092e+08 -1.5649144234625301e+08 -1.5504422000202873e+08 -1.5347160297573492e+08 -1.5178592934832147e+08 -1.5000819586488548e+08 -1.4817837143547621e+08 -1.4635912620526144e+08 -1.4463213309388056e+08 -1.4314187480795994e+08 -1.4207072221140653e+08 -1.4168898976642421e+08 -1.4237887966028118e+08 -1.4470699351292992e+08 -1.4953132604334018e+08 -1.5821227883104485e+08 -1.7301261822931236e+08 2.4006635459378082e+08 +1.3917639213070994e+00 -1.8828390475511125e+08 -1.8821780721550006e+08 -1.8810932749147710e+08 -1.8797139428035089e+08 -1.8783997250615451e+08 -1.8776944736267781e+08 -1.8778350126095444e+08 -1.8784134468010074e+08 -1.8790220465420252e+08 -1.8795855367177156e+08 -1.8801600328666598e+08 -1.8807586618118039e+08 -1.8813787247935054e+08 -1.8820253779688635e+08 -1.8827092521361348e+08 -1.8834397357758743e+08 -1.8842291116514662e+08 -1.8850949505710655e+08 -1.8860583938579047e+08 -1.8871435424207872e+08 -1.8883780419516921e+08 -1.8897924149124944e+08 -1.8914132908623448e+08 -1.8932815383147746e+08 -1.8955318939068708e+08 -1.8982634269670090e+08 -1.9014906658507350e+08 -1.9052670606929669e+08 -1.9096826861668327e+08 -1.9148461951213679e+08 -1.9208832220226547e+08 -1.9279381138832548e+08 -1.9361761349019656e+08 -1.9457857450968340e+08 -1.9569809623911420e+08 -1.9700032279828849e+08 -1.9851230339477822e+08 -2.0026405639954880e+08 -2.0228852871858940e+08 -2.0462130763150567e+08 -2.0751454242271340e+08 -2.1085536758426282e+08 -2.1469103369449762e+08 -2.1906429987247956e+08 -2.2400803809452578e+08 -2.2953752624978849e+08 -2.3563992240992931e+08 -2.4226061811502460e+08 -2.4928710426134637e+08 -2.5653080040022865e+08 -2.6371867368270916e+08 -2.7047375311815417e+08 -2.7632716408150864e+08 -2.8078848904089069e+08 -2.8337472057425922e+08 -2.8371472798368376e+08 -2.8161709532689738e+08 -2.7712429203589439e+08 -2.7051067751140678e+08 -2.6221854117465356e+08 -2.5279555869776800e+08 -2.4278727216246927e+08 -2.3269539635320708e+08 -2.2291087731911406e+08 -2.1373302574384418e+08 -2.0536061221562731e+08 -1.9789980270193049e+08 -1.9141340825100014e+08 -1.8590151589838195e+08 -1.8133108053372613e+08 -1.7765892503990805e+08 -1.7479280691104874e+08 -1.7264249142681020e+08 -1.7109415522668380e+08 -1.7001567059476450e+08 -1.6929112784079432e+08 -1.6879409746615186e+08 -1.6842666717667571e+08 -1.6812747012222153e+08 -1.6793122843761280e+08 -1.6773805482049829e+08 -1.6754309224099979e+08 -1.6733968891341659e+08 -1.6713009821045813e+08 -1.6691175179450399e+08 -1.6667388398593554e+08 -1.6642158473032117e+08 -1.6615150285845521e+08 -1.6585865115281606e+08 -1.6553913483393440e+08 -1.6518822176041767e+08 -1.6480058041004232e+08 -1.6437216308659342e+08 -1.6388598557637772e+08 -1.6334900564259642e+08 -1.6274684071371683e+08 -1.6207073866159934e+08 -1.6131128172323656e+08 -1.6045875652678677e+08 -1.5950342119917476e+08 -1.5843798119488004e+08 -1.5724671054499415e+08 -1.5593294260924965e+08 -1.5449088975592941e+08 -1.5292388965426168e+08 -1.5124423633710110e+08 -1.4947285160945576e+08 -1.4764956174422538e+08 -1.4583683089136651e+08 -1.4411595309902665e+08 -1.4263101768111917e+08 -1.4156369215061867e+08 -1.4118334343127200e+08 -1.4187077567652315e+08 -1.4419057661701551e+08 -1.4899768779652190e+08 -1.5764768189776838e+08 -1.7239512869612005e+08 2.4105522909867871e+08 +1.3967322440813574e+00 -1.8917521804217777e+08 -1.8910917910661277e+08 -1.8900080544611180e+08 -1.8886301002143529e+08 -1.8873172496042889e+08 -1.8866128768452153e+08 -1.8867536003665915e+08 -1.8873318661774582e+08 -1.8879403317807186e+08 -1.8885037981556657e+08 -1.8890783567127702e+08 -1.8896771385619757e+08 -1.8902974665218854e+08 -1.8909445175017503e+08 -1.8916289415464017e+08 -1.8923601500114864e+08 -1.8931504530892473e+08 -1.8940174530951890e+08 -1.8949823263670111e+08 -1.8960692153156182e+08 -1.8973058146085319e+08 -1.8987227066901386e+08 -1.9003466090823096e+08 -1.9022185466469061e+08 -1.9044733797908136e+08 -1.9072102214538917e+08 -1.9104436938894537e+08 -1.9142273823957986e+08 -1.9186515118197104e+08 -1.9238248988232252e+08 -1.9298733528284141e+08 -1.9369414025597647e+08 -1.9451944929972917e+08 -1.9548212520978600e+08 -1.9660358356151584e+08 -1.9790797656005499e+08 -1.9942235203500921e+08 -2.0117671211857748e+08 -2.0320396522355148e+08 -2.0553962746310958e+08 -2.0843593897837847e+08 -2.1177959165727398e+08 -2.1561748337898469e+08 -2.1999185349664047e+08 -2.2493483142611641e+08 -2.3046066534897441e+08 -2.3655513034840041e+08 -2.4316182886861306e+08 -2.5016604555401731e+08 -2.5737664763606641e+08 -2.6451794392365441e+08 -2.7121051281874275e+08 -2.7698380845198923e+08 -2.8134735891148895e+08 -2.8382008207852554e+08 -2.8403497129486108e+08 -2.8180649024533707e+08 -2.7718378117514336e+08 -2.7044748219160223e+08 -2.6204467025783280e+08 -2.5252591046541598e+08 -2.4243761535404098e+08 -2.3228091407292712e+08 -2.2244509847403359e+08 -2.1322747063580313e+08 -2.0482472135403931e+08 -1.9734106033220035e+08 -1.9083770706516767e+08 -1.8531344075283191e+08 -1.8073414175847781e+08 -1.7705587746342883e+08 -1.7418572453927875e+08 -1.7203297134350333e+08 -1.7048336784936106e+08 -1.6940446652485129e+08 -1.6868012305486435e+08 -1.6818364536454171e+08 -1.6781694973478252e+08 -1.6751860887198570e+08 -1.6732302449038565e+08 -1.6713053226775166e+08 -1.6693627259961700e+08 -1.6673360842896646e+08 -1.6652478115287784e+08 -1.6630725080320758e+08 -1.6607018891404191e+08 -1.6581880850180569e+08 -1.6554970985908628e+08 -1.6525792382743186e+08 -1.6493956972926274e+08 -1.6458993256041700e+08 -1.6420370010358202e+08 -1.6377685942216408e+08 -1.6329238804646966e+08 -1.6275735793658423e+08 -1.6215737888416082e+08 -1.6148373045150068e+08 -1.6072702898277801e+08 -1.5987759627680480e+08 -1.5892572574073935e+08 -1.5786416861395669e+08 -1.5667715989513448e+08 -1.5536815506428376e+08 -1.5393132987380448e+08 -1.5237000990622202e+08 -1.5069644465114364e+08 -1.4893148012955359e+08 -1.4711479837115508e+08 -1.4530865509949905e+08 -1.4359396178039885e+08 -1.4211440913035408e+08 -1.4105095372549444e+08 -1.4067200417483455e+08 -1.4135695107415566e+08 -1.4366834553922832e+08 -1.4845804150953877e+08 -1.5707672824288815e+08 -1.7177068743347156e+08 2.4204155477418691e+08 +1.4017005668556155e+00 -1.9006414732200125e+08 -1.8999816561337116e+08 -1.8988989527185208e+08 -1.8975223856535584e+08 -1.8962108798797750e+08 -1.8955074022941458e+08 -1.8956482955838254e+08 -1.8962263931616086e+08 -1.8968347172937992e+08 -1.8973981541990492e+08 -1.8979727665983438e+08 -1.8985716916391090e+08 -1.8991922725861374e+08 -1.8998397065167651e+08 -1.9005246625672361e+08 -1.9012565746336812e+08 -1.9020477791441765e+08 -1.9029159095433500e+08 -1.9038821762471786e+08 -1.9049707620749468e+08 -1.9062094094796768e+08 -1.9076287592130905e+08 -1.9092556149347985e+08 -1.9111311543887728e+08 -1.9133903576006192e+08 -1.9161323787075937e+08 -1.9193719314174977e+08 -1.9231627323788157e+08 -1.9275951516817892e+08 -1.9327781639453682e+08 -1.9388377466273656e+08 -1.9459186020028043e+08 -1.9541863461620650e+08 -1.9638297635917711e+08 -1.9750631343660799e+08 -1.9881280453819790e+08 -2.0032949422098985e+08 -2.0208636613238919e+08 -2.0411628753540444e+08 -2.0645470023937264e+08 -2.0935391878480464e+08 -2.1270019611521631e+08 -2.1654007113148493e+08 -2.2091525623952144e+08 -2.2585713034805062e+08 -2.3137890360208338e+08 -2.3746496018083394e+08 -2.4405710734221023e+08 -2.5103842142396414e+08 -2.5821522246118760e+08 -2.6530917686196497e+08 -2.7193844247626013e+08 -2.7763084754809415e+08 -2.8189592335327369e+08 -2.8425457451877671e+08 -2.8434397019534439e+08 -2.8198448318866044e+08 -2.7723192768211114e+08 -2.7037319061495042e+08 -2.6186008690127125e+08 -2.5224601492016330e+08 -2.4207820633085218e+08 -2.3185716508543617e+08 -2.2197050272581702e+08 -2.1271349870924333e+08 -2.0428075890765125e+08 -1.9677453736729291e+08 -1.9025446577793485e+08 -1.8471802098203838e+08 -1.8013001443047267e+08 -1.7644576352704656e+08 -1.7357166939679325e+08 -1.7141654823528284e+08 -1.6986572781269512e+08 -1.6878644536709064e+08 -1.6806232600717077e+08 -1.6756641873230463e+08 -1.6720047134023204e+08 -1.6690299824010375e+08 -1.6670807895775309e+08 -1.6651627586682436e+08 -1.6632272694654271e+08 -1.6612081011846492e+08 -1.6591275470637321e+08 -1.6569604931226546e+08 -1.6545980262079975e+08 -1.6520935120505068e+08 -1.6494124665848464e+08 -1.6465053808192068e+08 -1.6433335905571026e+08 -1.6398501190332222e+08 -1.6360020392601636e+08 -1.6317495720742854e+08 -1.6269221121711868e+08 -1.6215915251253274e+08 -1.6156138353441659e+08 -1.6089021588741863e+08 -1.6013630040029639e+08 -1.5928999443294796e+08 -1.5834162706355777e+08 -1.5728399570361403e+08 -1.5610129648262981e+08 -1.5479710752156374e+08 -1.5336556790835428e+08 -1.5180999100514653e+08 -1.5014258126404107e+08 -1.4838410808259279e+08 -1.4657410764840269e+08 -1.4477462483767313e+08 -1.4306618484074697e+08 -1.4159207459316778e+08 -1.4053253218333131e+08 -1.4015499717596120e+08 -1.4083743115437928e+08 -1.4314032599479991e+08 -1.4791241375513428e+08 -1.5649944598123223e+08 -1.7113932518851393e+08 2.4302531139662388e+08 +1.4066688896298736e+00 -1.9095064892865607e+08 -1.9088472151715806e+08 -1.9077655988278076e+08 -1.9063903738477820e+08 -1.9050802334796467e+08 -1.9043776317815772e+08 -1.9045186869799799e+08 -1.9050966146264118e+08 -1.9057047906791979e+08 -1.9062681930692971e+08 -1.9068428504592937e+08 -1.9074419087752697e+08 -1.9080627305586919e+08 -1.9087105325352585e+08 -1.9093960025824928e+08 -1.9101285968148512e+08 -1.9109206768579891e+08 -1.9117899067538548e+08 -1.9127575300936508e+08 -1.9138477690131226e+08 -1.9150884125615281e+08 -1.9165101581032726e+08 -1.9181398935988811e+08 -1.9200189461925739e+08 -1.9222824113542211e+08 -1.9250294819810402e+08 -1.9282749607888666e+08 -1.9320726919362783e+08 -1.9365131858107132e+08 -1.9417055690949968e+08 -1.9477759803387848e+08 -1.9548692871560317e+08 -1.9631512670502171e+08 -1.9728108495711461e+08 -1.9840624255649981e+08 -1.9971476307106188e+08 -2.0123368588415426e+08 -2.0299297390876007e+08 -2.0502545059718782e+08 -2.0736648031487042e+08 -2.1026843549329546e+08 -2.1361713383855322e+08 -2.1745874901089606e+08 -2.2183445931978476e+08 -2.2677488527421257e+08 -2.3229219074188566e+08 -2.3836936121583864e+08 -2.4494640286386204e+08 -2.5190418191663361e+08 -2.5904647664699963e+08 -2.6609232734375843e+08 -2.7265750167114615e+08 -2.7826824752371997e+08 -2.8243415686786324e+08 -2.8467818212946051e+08 -2.8464171934051245e+08 -2.8215107903917503e+08 -2.7726874562632042e+08 -2.7028782438547522e+08 -2.6166481832640842e+08 -2.5195590304866907e+08 -2.4170907828371489e+08 -2.3142418361037514e+08 -2.2148712453038645e+08 -2.1219114417867300e+08 -2.0372875860026637e+08 -1.9620026694708759e+08 -1.8966371694596875e+08 -1.8411528860816413e+08 -1.7951873011127540e+08 -1.7582861441065919e+08 -1.7295067235982841e+08 -1.7079325274409154e+08 -1.6924126558393398e+08 -1.6816163746091482e+08 -1.6743776694400105e+08 -1.6694244774491221e+08 -1.6657726211238664e+08 -1.6628066829604521e+08 -1.6608642187507534e+08 -1.6589531561878204e+08 -1.6570248524797150e+08 -1.6550132391101858e+08 -1.6529404876286083e+08 -1.6507817717365229e+08 -1.6484275491703004e+08 -1.6459324260598680e+08 -1.6432614297415558e+08 -1.6403652358124572e+08 -1.6372053242100492e+08 -1.6337348933362257e+08 -1.6299012135237679e+08 -1.6256648583999160e+08 -1.6208548440051430e+08 -1.6155441858645949e+08 -1.6095888377302256e+08 -1.6029022395661727e+08 -1.5953912482728902e+08 -1.5869597969395173e+08 -1.5775115369531029e+08 -1.5669749080043069e+08 -1.5551914843250045e+08 -1.5421982787097314e+08 -1.5279363149136922e+08 -1.5124386030214226e+08 -1.4958267322677833e+08 -1.4783076220254639e+08 -1.4602751598364431e+08 -1.4423476618881962e+08 -1.4253264805662656e+08 -1.4106403958047453e+08 -1.4000845284377655e+08 -1.3963234768578747e+08 -1.4031224129102373e+08 -1.4260654377262178e+08 -1.4736083118197137e+08 -1.5591586330768588e+08 -1.7050107279621059e+08 2.4400647894125170e+08 +1.4116372124041316e+00 -1.9183467906987283e+08 -1.9176881064927396e+08 -1.9166075255482858e+08 -1.9152336789099461e+08 -1.9139248801189330e+08 -1.9132231443744546e+08 -1.9133643668062973e+08 -1.9139421191392952e+08 -1.9145501412066188e+08 -1.9151135039197302e+08 -1.9156881974905750e+08 -1.9162873789512581e+08 -1.9169084292862293e+08 -1.9175565843138266e+08 -1.9182425502099398e+08 -1.9189758049517906e+08 -1.9197687344986257e+08 -1.9206390327996343e+08 -1.9216079757356367e+08 -1.9226998236851519e+08 -1.9239424110901159e+08 -1.9253664902250731e+08 -1.9269990315016046e+08 -1.9288815079640058e+08 -1.9311491263287538e+08 -1.9339011157986873e+08 -1.9371523656331879e+08 -1.9409568436534205e+08 -1.9454051955678374e+08 -1.9506066942023769e+08 -1.9566876322200698e+08 -1.9637930343323991e+08 -1.9720888297078040e+08 -1.9817640814606911e+08 -1.9930332775975266e+08 -2.0061380864728880e+08 -2.0213488311282092e+08 -2.0389649107950613e+08 -2.0593140952378479e+08 -2.0827492222498366e+08 -2.1117944294827425e+08 -2.1453035791651651e+08 -2.1837346930338752e+08 -2.2274941420543867e+08 -2.2768804689569902e+08 -2.3320047681167153e+08 -2.3926828311081481e+08 -2.4582966515782216e+08 -2.5276327752581292e+08 -2.5987036247029462e+08 -2.6686735077977839e+08 -2.7336765060181427e+08 -2.7889597519382930e+08 -2.8296203463912654e+08 -2.8509088982367319e+08 -2.8492821402984834e+08 -2.8230628326433182e+08 -2.7729424958358961e+08 -2.7019140552925891e+08 -2.6145889209613502e+08 -2.5165560610836726e+08 -2.4133026461777875e+08 -2.3098200404091123e+08 -2.2099499848780105e+08 -2.1166044138046360e+08 -2.0316875426487830e+08 -1.9561828231301865e+08 -1.8906549322038433e+08 -1.8350527574466982e+08 -1.7890032045130876e+08 -1.7520446138225743e+08 -1.7232276439157999e+08 -1.7016311559814185e+08 -1.6861001171680817e+08 -1.6753007323198441e+08 -1.6680647619672987e+08 -1.6631176266397917e+08 -1.6594735225601700e+08 -1.6565164919435254e+08 -1.6545808336232528e+08 -1.6526768160929438e+08 -1.6507557755430308e+08 -1.6487517982116932e+08 -1.6466869329869938e+08 -1.6445366432380152e+08 -1.6421907569847709e+08 -1.6397051255463696e+08 -1.6370442860766158e+08 -1.6341591007413444e+08 -1.6310111951647225e+08 -1.6275539447981068e+08 -1.6237348194123563e+08 -1.6195147480088240e+08 -1.6147223699229023e+08 -1.6094318545755297e+08 -1.6034990879072365e+08 -1.5968378372850502e+08 -1.5893553119689077e+08 -1.5809558083994189e+08 -1.5715433424451798e+08 -1.5610468232066491e+08 -1.5493074394932869e+08 -1.5363634408133101e+08 -1.5221554833298326e+08 -1.5067164522618961e+08 -1.4901674766660613e+08 -1.4727146929898989e+08 -1.4547504985931295e+08 -1.4368910530954009e+08 -1.4199337727737808e+08 -1.4053032967524976e+08 -1.3947874109840629e+08 -1.3910408102656838e+08 -1.3978140692985147e+08 -1.4206702473442110e+08 -1.4680332051432380e+08 -1.5532600849760282e+08 -1.6985596117931935e+08 2.4498503758153629e+08 +1.4166055351783897e+00 -1.9271620118045735e+08 -1.9265038901658192e+08 -1.9254243441077363e+08 -1.9240518773445016e+08 -1.9227444181006381e+08 -1.9220435394198033e+08 -1.9221849250862959e+08 -1.9227624968427545e+08 -1.9233703598968416e+08 -1.9239336768381798e+08 -1.9245083981394246e+08 -1.9251076923893526e+08 -1.9257289588970014e+08 -1.9263774518600321e+08 -1.9270638953097695e+08 -1.9277977886978513e+08 -1.9285915415796274e+08 -1.9294628770032257e+08 -1.9304331022548079e+08 -1.9315265149004924e+08 -1.9327709935562864e+08 -1.9341973437060228e+08 -1.9358326163365048e+08 -1.9377184268873531e+08 -1.9399900890868711e+08 -1.9427468659728837e+08 -1.9460037308850914e+08 -1.9498147714272523e+08 -1.9542707636398354e+08 -1.9594811205388612e+08 -1.9655722818931442e+08 -1.9726894212285674e+08 -1.9809986095948577e+08 -1.9906890321240023e+08 -2.0019752603320479e+08 -2.0150989790880060e+08 -2.0303304215337428e+08 -2.0479687344099298e+08 -2.0683411960274622e+08 -2.0917998068830627e+08 -2.1208689518960667e+08 -2.1543982164852336e+08 -2.1928418452397069e+08 -2.2366007261652702e+08 -2.2859656618226397e+08 -2.3410371216615337e+08 -2.4016167587502626e+08 -2.4670684434540102e+08 -2.5361565919544092e+08 -2.6068683271437335e+08 -2.6763420314408290e+08 -2.7406885008510387e+08 -2.7951399803249794e+08 -2.8347953253184879e+08 -2.8549268318904120e+08 -2.8520345020239371e+08 -2.8245010190988433e+08 -2.7730845463171393e+08 -2.7008395648985773e+08 -2.6124233611037087e+08 -2.5134515562466154e+08 -2.4094179895083037e+08 -2.3053066094054279e+08 -2.2049415933798516e+08 -2.1112142477276367e+08 -2.0260077984224761e+08 -1.9502861680458024e+08 -1.8845982734676415e+08 -1.8288801459568325e+08 -1.7827481718967947e+08 -1.7457333579680258e+08 -1.7168797654134488e+08 -1.6952616761144665e+08 -1.6797199684951171e+08 -1.6689178319029954e+08 -1.6616848418166560e+08 -1.6567439383453524e+08 -1.6531077206017545e+08 -1.6501597117391866e+08 -1.6482309362392187e+08 -1.6463340400784931e+08 -1.6444203400012705e+08 -1.6424240794655159e+08 -1.6403671837365925e+08 -1.6382254078248078e+08 -1.6358879494392258e+08 -1.6334119098436105e+08 -1.6307613344322491e+08 -1.6278872739218298e+08 -1.6247515011603141e+08 -1.6213075705253568e+08 -1.6175031533377263e+08 -1.6132995365302131e+08 -1.6085249846976799e+08 -1.6032548250636229e+08 -1.5973448785992038e+08 -1.5907092435352245e+08 -1.5832554852253836e+08 -1.5748882673097289e+08 -1.5655119739935824e+08 -1.5550559876055157e+08 -1.5433611131630367e+08 -1.5304668419923636e+08 -1.5163134622032282e+08 -1.5009337328258276e+08 -1.4844483178654635e+08 -1.4670625625611413e+08 -1.4491673583143905e+08 -1.4313766842917991e+08 -1.4144839842463133e+08 -1.3999097053171045e+08 -1.3894342240924731e+08 -1.3857022259141082e+08 -1.3924495358729312e+08 -1.4152179481425720e+08 -1.4623990855084389e+08 -1.5472990990441197e+08 -1.6920402134647188e+08 2.4596096768840432e+08 +1.4215738579526478e+00 -1.9359517321284258e+08 -1.9352941803061974e+08 -1.9342156623901948e+08 -1.9328445410716948e+08 -1.9315384286641973e+08 -1.9308384135015625e+08 -1.9309799528138271e+08 -1.9315573386622694e+08 -1.9321650390703741e+08 -1.9327283031521326e+08 -1.9333030441214466e+08 -1.9339024405595508e+08 -1.9345239107925737e+08 -1.9351727264475819e+08 -1.9358596289998066e+08 -1.9365941389741930e+08 -1.9373886888824603e+08 -1.9382610299568325e+08 -1.9392325000076985e+08 -1.9403274327408180e+08 -1.9415737497257480e+08 -1.9430023079496413e+08 -1.9446402370888895e+08 -1.9465292914319459e+08 -1.9488048874818489e+08 -1.9515663196175668e+08 -1.9548286427884057e+08 -1.9586460604795787e+08 -1.9631094740528494e+08 -1.9683284307335505e+08 -1.9744295103546381e+08 -1.9815580269412059e+08 -1.9898801836023602e+08 -1.9995852758916715e+08 -2.0108879451413631e+08 -2.0240298765250364e+08 -2.0392811941311175e+08 -2.0569407695669129e+08 -2.0773353629714188e+08 -2.1008161060757470e+08 -2.1299074645395824e+08 -2.1634547854617816e+08 -2.2019084741841158e+08 -2.2456638652565983e+08 -2.2950039438441285e+08 -2.3500184747412512e+08 -2.4104948987028551e+08 -2.4757789094677871e+08 -2.5446127831930745e+08 -2.6149584066999972e+08 -2.6839284097690019e+08 -2.7476106155430597e+08 -2.8012228417005581e+08 -2.8398662708703411e+08 -2.8588354848315632e+08 -2.8546742443188709e+08 -2.8258254159595412e+08 -2.7731137634478217e+08 -2.6996550012379032e+08 -2.6101517860246384e+08 -2.5102458338718817e+08 -2.4054371510972077e+08 -2.3007018904049858e+08 -2.1998464196103162e+08 -2.1057412893221202e+08 -2.0202486937950945e+08 -1.9443130386030564e+08 -1.8784675216279939e+08 -1.8226353745466873e+08 -1.7764225215252608e+08 -1.7393526909521690e+08 -1.7104633994356927e+08 -1.6888243968224123e+08 -1.6732725170443398e+08 -1.6624679792980531e+08 -1.6552382139812312e+08 -1.6503037168539101e+08 -1.6466755189662486e+08 -1.6437366455643252e+08 -1.6418148294647563e+08 -1.6399251306659263e+08 -1.6380188480242690e+08 -1.6360303846744746e+08 -1.6339815413035330e+08 -1.6318483665191978e+08 -1.6295194271447888e+08 -1.6270530791040385e+08 -1.6244128744776139e+08 -1.6215500544907895e+08 -1.6184265407566470e+08 -1.6149960684420729e+08 -1.6112065125180858e+08 -1.6070195204080480e+08 -1.6022629839129251e+08 -1.5970133919418252e+08 -1.5911265033290046e+08 -1.5845167506233126e+08 -1.5770920589774406e+08 -1.5687574630644643e+08 -1.5594177192689589e+08 -1.5490026869379508e+08 -1.5373527889437407e+08 -1.5245087634873143e+08 -1.5104105301707402e+08 -1.4950907205204326e+08 -1.4786695286443627e+08 -1.4613515003204885e+08 -1.4435260052940202e+08 -1.4258048184915274e+08 -1.4089773749088433e+08 -1.3944598787439620e+08 -1.3840252230824861e+08 -1.3803079784303746e+08 -1.3870290684988207e+08 -1.4097088001714817e+08 -1.4567062216387290e+08 -1.5412759595990384e+08 -1.6854528439138895e+08 2.4693424982950234e+08 +1.4265421807269059e+00 -1.9447155316422850e+08 -1.9440585320101473e+08 -1.9429810668071240e+08 -1.9416112898175874e+08 -1.9403065124382088e+08 -1.9396073427281651e+08 -1.9397490443525293e+08 -1.9403262381781670e+08 -1.9409337719019765e+08 -1.9414969756912857e+08 -1.9420717284008920e+08 -1.9426712162122723e+08 -1.9432928776288846e+08 -1.9439420006244573e+08 -1.9446293436707029e+08 -1.9453644479916707e+08 -1.9461597684634519e+08 -1.9470330835388896e+08 -1.9480057606341171e+08 -1.9491021685835481e+08 -1.9503502706534657e+08 -1.9517809736581120e+08 -1.9534214840307099e+08 -1.9553136913721430e+08 -1.9575931106863004e+08 -1.9603590651740026e+08 -1.9636266889195764e+08 -1.9674502973766854e+08 -1.9719209121928552e+08 -1.9771482087898785e+08 -1.9832588999948421e+08 -1.9903984319855300e+08 -1.9987331300613803e+08 -2.0084523885696581e+08 -2.0197709049118435e+08 -2.0329303483177540e+08 -2.0482007146138579e+08 -2.0658805775956434e+08 -2.0862961524670056e+08 -2.1097976707237902e+08 -2.1389095117749998e+08 -2.1724728233595619e+08 -2.2109341096529454e+08 -2.2546830816124406e+08 -2.3039948303515214e+08 -2.3589483372028708e+08 -2.4193167581363186e+08 -2.4844275588264591e+08 -2.5530008674397156e+08 -2.6229734013503513e+08 -2.6914322138114321e+08 -2.7544424705880946e+08 -2.8072080239292270e+08 -2.8448329552006346e+08 -2.8626347263015252e+08 -2.8572013392256624e+08 -2.8270360951189607e+08 -2.7730303078792697e+08 -2.6983605969569939e+08 -2.6077744813453063e+08 -2.5069392144614449e+08 -2.4013604712782595e+08 -2.2960062323868760e+08 -2.1946648137343046e+08 -2.1001858855347145e+08 -2.0144105702873003e+08 -1.9382637701457763e+08 -1.8722630059785315e+08 -1.8163187670280224e+08 -1.7700265725211757e+08 -1.7329029280309609e+08 -1.7039788581618750e+08 -1.6823196279202789e+08 -1.6667580708686826e+08 -1.6559514812682360e+08 -1.6487251842794481e+08 -1.6437972672748795e+08 -1.6401772221941137e+08 -1.6372475974497828e+08 -1.6353328169887495e+08 -1.6334503911995429e+08 -1.6315516026010832e+08 -1.6295710164564359e+08 -1.6275303079239246e+08 -1.6254058211568099e+08 -1.6230854915218258e+08 -1.6206289342936203e+08 -1.6179992066841424e+08 -1.6151477423913088e+08 -1.6120366133173180e+08 -1.6086197372740194e+08 -1.6048451949816081e+08 -1.6006749968841985e+08 -1.5959366639478883e+08 -1.5907078506171548e+08 -1.5848442564148715e+08 -1.5782606516388229e+08 -1.5708653249435824e+08 -1.5625636858389154e+08 -1.5532608667152584e+08 -1.5428872077174541e+08 -1.5312827512084860e+08 -1.5184894872937870e+08 -1.5044469666174588e+08 -1.4891876918962991e+08 -1.4728313825149986e+08 -1.4555817765765479e+08 -1.4378267065389258e+08 -1.4201757194216833e+08 -1.4034142053893784e+08 -1.3889540749759772e+08 -1.3785606639647216e+08 -1.3748583231309849e+08 -1.3815529237339658e+08 -1.4041430641842645e+08 -1.4509548829804963e+08 -1.5351909517242342e+08 -1.6787978149161470e+08 2.4790486476845476e+08 +1.4315105035011639e+00 -1.9534530111235866e+08 -1.9527965700946856e+08 -1.9517201426525655e+08 -1.9503517024381989e+08 -1.9490482664458445e+08 -1.9483499316128153e+08 -1.9484917928923547e+08 -1.9490687911695862e+08 -1.9496761525152639e+08 -1.9502392887094203e+08 -1.9508140451422769e+08 -1.9514136134142095e+08 -1.9520354533253643e+08 -1.9526848682349697e+08 -1.9533726330034873e+08 -1.9541083092707327e+08 -1.9549043736866167e+08 -1.9557786309230173e+08 -1.9567524770818257e+08 -1.9578503151049545e+08 -1.9591001487027696e+08 -1.9605329328422102e+08 -1.9621759487616456e+08 -1.9640712178120294e+08 -1.9663543492012614e+08 -1.9691246924195427e+08 -1.9723974582073560e+08 -1.9762270700482535e+08 -1.9807046648194763e+08 -1.9859400401041433e+08 -1.9920600346204007e+08 -1.9992102183122566e+08 -2.0075570287706143e+08 -2.0172899474631548e+08 -2.0286237140742934e+08 -2.0417999655827194e+08 -2.0570885503164420e+08 -2.0747877215279853e+08 -2.0952231227008364e+08 -2.1187440536095566e+08 -2.1478746399687877e+08 -2.1814518695981118e+08 -2.2199182837831417e+08 -2.2636579000906047e+08 -2.3129378395312715e+08 -2.3678262220622027e+08 -2.4280818477824840e+08 -2.4930139047542945e+08 -2.5613203676895842e+08 -2.6309128541673851e+08 -2.6988530202533948e+08 -2.7611836926339263e+08 -2.8130952214052927e+08 -2.8496951571758151e+08 -2.8663244321639144e+08 -2.8596157650392163e+08 -2.8281331341120613e+08 -2.7728343451369065e+08 -2.6969565887360626e+08 -2.6052917359375283e+08 -2.5035320210912198e+08 -2.3971882924156410e+08 -2.2912199859566694e+08 -2.1893971272705686e+08 -2.0945483844755954e+08 -2.0084937704506806e+08 -1.9321386989764547e+08 -1.8659850567171347e+08 -1.8099306480903190e+08 -1.7635606448581690e+08 -1.7263843852950260e+08 -1.6974264546033278e+08 -1.6757476800417000e+08 -1.6601769388402086e+08 -1.6493686453921083e+08 -1.6421460593450511e+08 -1.6372248955266291e+08 -1.6336131356354377e+08 -1.6306928722435591e+08 -1.6287852033085710e+08 -1.6269101258233672e+08 -1.6250189075247657e+08 -1.6230462782371932e+08 -1.6210137866399914e+08 -1.6188980743741757e+08 -1.6165864447962168e+08 -1.6141397771757671e+08 -1.6115206323265007e+08 -1.6086806383636439e+08 -1.6055820189998552e+08 -1.6021788765473929e+08 -1.5984194995463264e+08 -1.5942662639916307e+08 -1.5895463219727007e+08 -1.5843384972845468e+08 -1.5784984329567572e+08 -1.5719412404567361e+08 -1.5645755756164628e+08 -1.5563072265804261e+08 -1.5470417055471057e+08 -1.5367098372164559e+08 -1.5251512850892377e+08 -1.5124092961575881e+08 -1.4984230516769782e+08 -1.4832249242436752e+08 -1.4669341537163550e+08 -1.4497536623547950e+08 -1.4320697297705263e+08 -1.4144896515053350e+08 -1.3977947370070207e+08 -1.3833925526399732e+08 -1.3730408034288105e+08 -1.3693535160080320e+08 -1.3760213588163900e+08 -1.3985210016284978e+08 -1.4451453397000730e+08 -1.5290443612605011e+08 -1.6720754390803462e+08 2.4887279346412116e+08 +1.4364788262754220e+00 -1.9621637729860756e+08 -1.9615078801338300e+08 -1.9604324940451279e+08 -1.9590653977744430e+08 -1.9577632755086356e+08 -1.9570657903159213e+08 -1.9572077941990033e+08 -1.9577845953749523e+08 -1.9583917763973442e+08 -1.9589548376511332e+08 -1.9595295896775344e+08 -1.9601292275627720e+08 -1.9607512330756345e+08 -1.9614009244125804e+08 -1.9620890919899550e+08 -1.9628253176531366e+08 -1.9636220992255244e+08 -1.9644972666024214e+08 -1.9654722436150336e+08 -1.9665714663116968e+08 -1.9678229775623176e+08 -1.9692577788441724e+08 -1.9709032242087591e+08 -1.9728014631915253e+08 -1.9750881948735273e+08 -1.9778627924871585e+08 -1.9811405409431309e+08 -1.9849759677993712e+08 -1.9894603200873482e+08 -1.9947035114813134e+08 -2.0008324994653878e+08 -2.0079929693252918e+08 -2.0163514610097250e+08 -2.0260975313922212e+08 -2.0374459486073637e+08 -2.0506383010404342e+08 -2.0659442702310333e+08 -2.0836617661254218e+08 -2.1041158336682922e+08 -2.1276548094130918e+08 -2.1568023975246412e+08 -2.1903914657816747e+08 -2.2288605310747695e+08 -2.2725878481413594e+08 -2.3218324924220678e+08 -2.3766516455325934e+08 -2.4367896819591281e+08 -2.5015374645118490e+08 -2.5695708114792714e+08 -2.6387763133103526e+08 -2.7061904114119208e+08 -2.7678339144656676e+08 -2.8188841350379938e+08 -2.8544526623451370e+08 -2.8699044848745728e+08 -2.8619175062707555e+08 -2.8291166160677594e+08 -2.7725260455574304e+08 -2.6954432172489250e+08 -2.6027038418835795e+08 -2.5000245793800458e+08 -2.3929209588886553e+08 -2.2863435033375067e+08 -2.1840437130684233e+08 -2.0888291353928944e+08 -2.0024986378612241e+08 -1.9259381623327625e+08 -1.8596340049266705e+08 -1.8034713432734498e+08 -1.7570250593450606e+08 -1.7197973796639794e+08 -1.6908065025873157e+08 -1.6691088646387407e+08 -1.6535294306341156e+08 -1.6427197800534463e+08 -1.6355011466081780e+08 -1.6305869083290309e+08 -1.6269835654393023e+08 -1.6240727755870199e+08 -1.6221722937138328e+08 -1.6203046394825178e+08 -1.6184210673837218e+08 -1.6164564742294753e+08 -1.6144322812872356e+08 -1.6123254296024689e+08 -1.6100225899825892e+08 -1.6075859103071439e+08 -1.6049774534674424e+08 -1.6021490439364758e+08 -1.5990630587545359e+08 -1.5956737865646973e+08 -1.5919297258102435e+08 -1.5877936205437595e+08 -1.5830922559341004e+08 -1.5779056289128208e+08 -1.5720893288274747e+08 -1.5655588117188716e+08 -1.5582231042562896e+08 -1.5499883769957238e+08 -1.5407605257341906e+08 -1.5304708634625739e+08 -1.5189586764604276e+08 -1.5062684735666630e+08 -1.4923390662098426e+08 -1.4772026955737099e+08 -1.4609781172096479e+08 -1.4438674293945840e+08 -1.4262553434088254e+08 -1.4087468798620066e+08 -1.3921192317694661e+08 -1.3777755710385606e+08 -1.3674658988374686e+08 -1.3637938137256736e+08 -1.3704346316586366e+08 -1.3928428746328476e+08 -1.4392778626669911e+08 -1.5228364747989261e+08 -1.6652860298285905e+08 2.4983801706985354e+08 +1.4414471490496801e+00 -1.9708474051749259e+08 -1.9701920773277149e+08 -1.9691177194982877e+08 -1.9677519425830346e+08 -1.9664511564995164e+08 -1.9657545014859983e+08 -1.9658966455114517e+08 -1.9664732472277728e+08 -1.9670802404979324e+08 -1.9676432190685195e+08 -1.9682179585373476e+08 -1.9688176553858966e+08 -1.9694398133740976e+08 -1.9700897656009659e+08 -1.9707783169447386e+08 -1.9715150693206179e+08 -1.9723125410895905e+08 -1.9731885863948298e+08 -1.9741646558344421e+08 -1.9752652175420207e+08 -1.9765183522586629e+08 -1.9779551063478580e+08 -1.9796029046551350e+08 -1.9815040213065526e+08 -1.9837942409145558e+08 -1.9865729578801855e+08 -1.9898555288023081e+08 -1.9936965813292032e+08 -1.9981874675557968e+08 -2.0034382111532268e+08 -2.0095758812048769e+08 -2.0167462698969182e+08 -2.0251160095572785e+08 -2.0348747207093444e+08 -2.0462371860655725e+08 -2.0594449290315616e+08 -2.0747674450256017e+08 -2.0925022778890136e+08 -2.1129738471867841e+08 -2.1365294947405025e+08 -2.1656923348822570e+08 -2.1992911557157105e+08 -2.2377603884151116e+08 -2.2814724558262080e+08 -2.3306783129552317e+08 -2.3854241270390755e+08 -2.4454397785791844e+08 -2.5099977594056335e+08 -2.5777517309021080e+08 -2.6465633320342395e+08 -2.7134439752569777e+08 -2.7743927749997747e+08 -2.8245744722281581e+08 -2.8591052629033488e+08 -2.8733747734301239e+08 -2.8641065535874653e+08 -2.8299866296486294e+08 -2.7721055842474812e+08 -2.6938207271165782e+08 -2.6000110944355139e+08 -2.4964172174492717e+08 -2.3885588170516238e+08 -2.2813771383400702e+08 -2.1786049252971977e+08 -2.0830284886615193e+08 -1.9964255170930853e+08 -1.9196624983824450e+08 -1.8532101825733548e+08 -1.7969411789703229e+08 -1.7504201376222712e+08 -1.7131422288681141e+08 -1.6841193167451745e+08 -1.6624034939578950e+08 -1.6468158567264232e+08 -1.6360051944292927e+08 -1.6287907542969999e+08 -1.6238836131950781e+08 -1.6202888185437191e+08 -1.6173876139078778e+08 -1.6154943942846131e+08 -1.6136342379036957e+08 -1.6117583875494412e+08 -1.6098019094383439e+08 -1.6077860964827669e+08 -1.6056881910513282e+08 -1.6033942308758056e+08 -1.6009676370217133e+08 -1.5983699729485640e+08 -1.5955532614150590e+08 -1.5924800342987052e+08 -1.5891047684072611e+08 -1.5853761741475782e+08 -1.5812573661235407e+08 -1.5765747645452055e+08 -1.5714095432356575e+08 -1.5656172406627113e+08 -1.5591136608262965e+08 -1.5518082048789769e+08 -1.5436074295474577e+08 -1.5344176179932666e+08 -1.5241705752207908e+08 -1.5127052119369602e+08 -1.5000673037366226e+08 -1.4861952918050304e+08 -1.4711212846183676e+08 -1.4549635486602396e+08 -1.4379233501310366e+08 -1.4203838165667307e+08 -1.4029476702909845e+08 -1.3863879523572040e+08 -1.3721033901445147e+08 -1.3618362082162574e+08 -1.3581794736096239e+08 -1.3647930008378464e+08 -1.3871089460069644e+08 -1.4333527234519678e+08 -1.5165675796659651e+08 -1.6584299013952729e+08 2.5080051693275371e+08 +1.4464154718239381e+00 -1.9795035076085383e+08 -1.9788487222719222e+08 -1.9777753680245897e+08 -1.9764109986294082e+08 -1.9751114939332992e+08 -1.9744156530576879e+08 -1.9745579414168960e+08 -1.9751343414678791e+08 -1.9757411429568675e+08 -1.9763040308373195e+08 -1.9768787495679945e+08 -1.9774784949162230e+08 -1.9781007920600760e+08 -1.9787509895592013e+08 -1.9794399055340040e+08 -1.9801771617986038e+08 -1.9809752966395465e+08 -1.9818521874679002e+08 -1.9828293106925446e+08 -1.9839311654954231e+08 -1.9851858691811693e+08 -1.9866245114048809e+08 -1.9882745857445213e+08 -1.9901784873268598e+08 -1.9924720819164082e+08 -1.9952547824949309e+08 -1.9985420148585790e+08 -2.0023885027509457e+08 -2.0068856982130039e+08 -2.0121437287900975e+08 -2.0182897679846799e+08 -2.0254697063907146e+08 -2.0338502587049872e+08 -2.0436210973107758e+08 -2.0549970055874246e+08 -2.0682194255314398e+08 -2.0835576470613891e+08 -2.1013088250866544e+08 -2.1217967269153562e+08 -2.1453676681377655e+08 -2.1745440045527264e+08 -2.2081504854240677e+08 -2.2466173950962713e+08 -2.2903112558364666e+08 -2.3394748279624870e+08 -2.3941431892315525e+08 -2.4540316591714525e+08 -2.5183943148028517e+08 -2.5858626626104146e+08 -2.6542734686975721e+08 -2.7206133053902125e+08 -2.7808599192811459e+08 -2.8301659468514293e+08 -2.8636527576727360e+08 -2.8767351933370566e+08 -2.8661829037814313e+08 -2.8307432690276903e+08 -2.7715731410352451e+08 -2.6920893668603414e+08 -2.5972137919802409e+08 -2.4927102658941400e+08 -2.3841022152166492e+08 -2.2763212463406006e+08 -2.1730811194145593e+08 -2.0771467957743761e+08 -1.9902747537189585e+08 -1.9133120462078786e+08 -1.8467139224832997e+08 -1.7903404824054438e+08 -1.7437462021413830e+08 -1.7064192514446801e+08 -1.6773652125039324e+08 -1.6556318810366878e+08 -1.6400365283765015e+08 -1.6292251984783939e+08 -1.6220151914182016e+08 -1.6171153184130895e+08 -1.6135292026647526e+08 -1.6106376944116315e+08 -1.6087518118757921e+08 -1.6068992275920668e+08 -1.6050311741710663e+08 -1.6030828896367243e+08 -1.6010755376162809e+08 -1.5989866637048799e+08 -1.5967016720429185e+08 -1.5942852614210862e+08 -1.5916984943749091e+08 -1.5888935938712189e+08 -1.5858332481204623e+08 -1.5824721239185977e+08 -1.5787591456898406e+08 -1.5746578010726511e+08 -1.5699941472793022e+08 -1.5648505387416497e+08 -1.5590824658477613e+08 -1.5526060839266911e+08 -1.5453311722441620e+08 -1.5371646774350086e+08 -1.5280132737801105e+08 -1.5178092619927523e+08 -1.5063911788588282e+08 -1.4938060716070962e+08 -1.4799920107638365e+08 -1.4649809708122396e+08 -1.4488907244336799e+08 -1.4319216976910228e+08 -1.4144554190380001e+08 -1.3970922892708334e+08 -1.3806011621124226e+08 -1.3663762705891180e+08 -1.3561519902434728e+08 -1.3525107536366171e+08 -1.3590967255854020e+08 -1.3813194792199475e+08 -1.4273701943123809e+08 -1.5102379639205292e+08 -1.6515073688054922e+08 2.5176027459292957e+08 +1.4513837945981962e+00 -1.9881316703401560e+08 -1.9874774572725317e+08 -1.9864051285050380e+08 -1.9850420703533414e+08 -1.9837438755863997e+08 -1.9830488729843259e+08 -1.9831912872121584e+08 -1.9837674757023358e+08 -1.9843740830857113e+08 -1.9849368724492490e+08 -1.9855115620366415e+08 -1.9861113454957023e+08 -1.9867337683320713e+08 -1.9873841953781343e+08 -1.9880734567848957e+08 -1.9888111939802065e+08 -1.9896099645971370e+08 -1.9904876683501002e+08 -1.9914658065074304e+08 -1.9925689082373598e+08 -1.9938251260946754e+08 -1.9952655914402324e+08 -1.9969178645060068e+08 -1.9988244578107062e+08 -2.0011213138670540e+08 -2.0039078616273734e+08 -2.0071995936025345e+08 -2.0110513256026140e+08 -2.0155546044868881e+08 -2.0208196555294272e+08 -2.0269737494270363e+08 -2.0341628666699690e+08 -2.0425537942798477e+08 -2.0523362446668661e+08 -2.0637249879254889e+08 -2.0769613681708893e+08 -2.0923144504153091e+08 -2.1100809777617967e+08 -2.1305840383779582e+08 -2.1541688901042038e+08 -2.1833569611324635e+08 -2.2169690031634775e+08 -2.2554310928314772e+08 -2.2991037835103315e+08 -2.3482215671957022e+08 -2.4028083580081248e+08 -2.4625648488951293e+08 -2.5267266601471063e+08 -2.5939031478318650e+08 -2.6619062867664728e+08 -2.7276980010570645e+08 -2.7872349984594446e+08 -2.8356582792406642e+08 -2.8680949520629525e+08 -2.8799856465716016e+08 -2.8681465597192883e+08 -2.8313866338074291e+08 -2.7709289004216200e+08 -2.6902493888544160e+08 -2.5943122359926108e+08 -2.4889040577575350e+08 -2.3795515036153248e+08 -2.2711761842612618e+08 -2.1674726521542329e+08 -2.0711844093107837e+08 -1.9840466942840886e+08 -1.9068871457892928e+08 -1.8401455583415017e+08 -1.7836695816261923e+08 -1.7370035761603981e+08 -1.6996287667197135e+08 -1.6705445060774958e+08 -1.6487943396945331e+08 -1.6331917576204795e+08 -1.6223801029352367e+08 -1.6151747677458471e+08 -1.6102823330387443e+08 -1.6067050262842250e+08 -1.6038233250713521e+08 -1.6019448541076681e+08 -1.6000999158147213e+08 -1.5982397341580385e+08 -1.5962997213616776e+08 -1.5943009108388811e+08 -1.5922211533065858e+08 -1.5899452188081029e+08 -1.5875390883682293e+08 -1.5849633221133000e+08 -1.5821703451320422e+08 -1.5791230034583151e+08 -1.5757761556944877e+08 -1.5720789423220620e+08 -1.5679952264831424e+08 -1.5633507043538433e+08 -1.5582289146640980e+08 -1.5524853025116414e+08 -1.5460363779116479e+08 -1.5387923018487430e+08 -1.5306604145911479e+08 -1.5215477852745819e+08 -1.5113872139989701e+08 -1.5000168652796865e+08 -1.4874850628247520e+08 -1.4737295060904363e+08 -1.4587820342892414e+08 -1.4427599215852660e+08 -1.4258627458846220e+08 -1.4084704212891716e+08 -1.3911810039367220e+08 -1.3747591250420347e+08 -1.3605944736538240e+08 -1.3504135042442775e+08 -1.3467879124278209e+08 -1.3533460657797685e+08 -1.3754747384025693e+08 -1.4213305481857222e+08 -1.5038479163357860e+08 -1.6445187478733733e+08 2.5271727178275302e+08 +1.4563521173724543e+00 -1.9967314798454687e+08 -1.9960778329581150e+08 -1.9950065584273753e+08 -1.9936448053342262e+08 -1.9923479236316818e+08 -1.9916537407341102e+08 -1.9917962867989776e+08 -1.9923722528559652e+08 -1.9929786617203897e+08 -1.9935413450972581e+08 -1.9941159966851515e+08 -1.9947158077777189e+08 -1.9953383427856264e+08 -1.9959889835054234e+08 -1.9966785710961068e+08 -1.9974167661315152e+08 -1.9982161450706032e+08 -1.9990946289487043e+08 -2.0000737429814315e+08 -2.0011780452271903e+08 -2.0024357221489185e+08 -2.0038779452762729e+08 -2.0055323393692860e+08 -2.0074415307232919e+08 -2.0097415341694278e+08 -2.0125317919995287e+08 -2.0158278609534127e+08 -2.0196846448686558e+08 -2.0241937802667493e+08 -2.0294655839753407e+08 -2.0356274166481999e+08 -2.0428253401173076e+08 -2.0512262036516139e+08 -2.0610197478239378e+08 -2.0724207154499516e+08 -2.0856703362500238e+08 -2.1010374308873704e+08 -2.1188183077552947e+08 -2.1393353489736199e+08 -2.1629327231226656e+08 -2.1921307613193578e+08 -2.2257462594507390e+08 -2.2642010257764995e+08 -2.3078495768511468e+08 -2.3569180633427912e+08 -2.4114191625332662e+08 -2.4710388765542281e+08 -2.5349943289718822e+08 -2.6018727323807344e+08 -2.6694613548188540e+08 -2.7346976671333736e+08 -2.7935176697862220e+08 -2.8410511961559629e+08 -2.8724316580469841e+08 -2.8831260415350175e+08 -2.8699975302874827e+08 -2.8319168289974982e+08 -2.7701730515313429e+08 -2.6883010492932838e+08 -2.5913067310032129e+08 -2.4849989284748983e+08 -2.3749070343810490e+08 -2.2659423105456650e+08 -2.1617798815129620e+08 -2.0651416829368359e+08 -1.9777416862981725e+08 -1.9003881379995146e+08 -1.8335054246713448e+08 -1.7769288054950306e+08 -1.7301925837316674e+08 -1.6927710948032594e+08 -1.6636575144511181e+08 -1.6418911845157856e+08 -1.6262818572578219e+08 -1.6154702192935419e+08 -1.6082697938189629e+08 -1.6033849668937615e+08 -1.5998165986434817e+08 -1.5969448146139541e+08 -1.5950738293527147e+08 -1.5932366105946976e+08 -1.5913843751749322e+08 -1.5894527119014055e+08 -1.5874625230522195e+08 -1.5853919663502386e+08 -1.5831251772471198e+08 -1.5807294234721595e+08 -1.5781647612750638e+08 -1.5753838197684729e+08 -1.5723496042978969e+08 -1.5690171670719483e+08 -1.5653358666681540e+08 -1.5612699441857678e+08 -1.5566447367233291e+08 -1.5515449709707683e+08 -1.5458260495161915e+08 -1.5394048403969604e+08 -1.5321918899134928e+08 -1.5240949356711495e+08 -1.5150214453745645e+08 -1.5049047221742725e+08 -1.4935825599651554e+08 -1.4811045637392318e+08 -1.4674080614841932e+08 -1.4525247558687311e+08 -1.4365714178493038e+08 -1.4197467691910687e+08 -1.4024290944517827e+08 -1.3852140820876709e+08 -1.3688621057924101e+08 -1.3547582612590826e+08 -1.3446210101781031e+08 -1.3410112092389837e+08 -1.3475412819379556e+08 -1.3695749883336738e+08 -1.4152340586768514e+08 -1.4973977263970202e+08 -1.6374643551909193e+08 2.5367149042611486e+08 +1.4613204401467124e+00 -2.0053026026419300e+08 -2.0046495011767182e+08 -2.0035792448044583e+08 -2.0022187966184729e+08 -2.0009232208432612e+08 -2.0002298548895246e+08 -2.0003725362477070e+08 -2.0009482783111107e+08 -2.0015544812817660e+08 -2.0021170515101972e+08 -2.0026916557366386e+08 -2.0032914837712142e+08 -2.0039141174358892e+08 -2.0045649557799593e+08 -2.0052548502638200e+08 -2.0059934799101293e+08 -2.0067934395608389e+08 -2.0076726705656722e+08 -2.0086527212159392e+08 -2.0097581773171395e+08 -2.0110172579093099e+08 -2.0124611731444257e+08 -2.0141176101767915e+08 -2.0160293054507664e+08 -2.0183323416520444e+08 -2.0211261717710528e+08 -2.0244264142808300e+08 -2.0282880569909143e+08 -2.0328028209142393e+08 -2.0380811082338694e+08 -2.0442503622810835e+08 -2.0514567176560631e+08 -2.0598670757634872e+08 -2.0696711934373608e+08 -2.0810837721700621e+08 -2.0943459107619989e+08 -2.1097261660255799e+08 -2.1275203887248608e+08 -2.1480502279953098e+08 -2.1716587316614580e+08 -2.2008649639266852e+08 -2.2344818070716840e+08 -2.2729267405461532e+08 -2.3165481765560272e+08 -2.3655638520524088e+08 -2.4199751352438918e+08 -2.4794532746174780e+08 -2.5431968589105099e+08 -2.6097709666611746e+08 -2.6769382465477803e+08 -2.7416119141335559e+08 -2.7997075966037166e+08 -2.8463444307715666e+08 -2.8766626941254014e+08 -2.8861562930257165e+08 -2.8717358303582674e+08 -2.8323339649551791e+08 -2.7693057880617237e+08 -2.6862446081352443e+08 -2.5881975845586589e+08 -2.4809952158708853e+08 -2.3701691615174851e+08 -2.2606199851353097e+08 -2.1560031667223629e+08 -2.0590189713759935e+08 -1.9713600782182440e+08 -1.8938153645851311e+08 -1.8267938568259352e+08 -1.7701184836737552e+08 -1.7233135496888006e+08 -1.6858465565753680e+08 -1.6567045553724769e+08 -1.6349227308429700e+08 -1.6193071408418402e+08 -1.6084958597972038e+08 -1.6013005809226227e+08 -1.5964235305405125e+08 -1.5928642297277868e+08 -1.5900024725125104e+08 -1.5881390467322627e+08 -1.5863096206977215e+08 -1.5844654056273469e+08 -1.5825421692873031e+08 -1.5805606819031936e+08 -1.5784994100672689e+08 -1.5762418541734996e+08 -1.5738565730807000e+08 -1.5713031177103654e+08 -1.5685343230904332e+08 -1.5655133553569403e+08 -1.5621954621255732e+08 -1.5585302220848212e+08 -1.5544822567404929e+08 -1.5498765460689682e+08 -1.5447990083513319e+08 -1.5391050064409578e+08 -1.5327117697176629e+08 -1.5255302333728692e+08 -1.5174685360371709e+08 -1.5084345476856551e+08 -1.4983620781547669e+08 -1.4870885523736101e+08 -1.4746648613896933e+08 -1.4610279613305694e+08 -1.4462094170506933e+08 -1.4303254916309151e+08 -1.4135740427540570e+08 -1.3963317103111658e+08 -1.3791917921627671e+08 -1.3629103696561053e+08 -1.3488678959603608e+08 -1.3387747686349270e+08 -1.3351809039499854e+08 -1.3416826352058744e+08 -1.3636204944286206e+08 -1.4090810000541797e+08 -1.4908876842843130e+08 -1.6303445081065163e+08 2.5462291263768202e+08 +1.4662887629209704e+00 -2.0138445849204013e+08 -2.0131920220533353e+08 -2.0121227918109423e+08 -2.0107636785565451e+08 -2.0094694011169419e+08 -2.0087768401330006e+08 -2.0089196383605632e+08 -2.0094951553609410e+08 -2.0101011455398130e+08 -2.0106635957208747e+08 -2.0112381428477508e+08 -2.0118379768852556e+08 -2.0124606957135373e+08 -2.0131117154477060e+08 -2.0138018974807528e+08 -2.0145409383755642e+08 -2.0153414509744823e+08 -2.0162213959134203e+08 -2.0172023437227038e+08 -2.0183089067874292e+08 -2.0195693353620476e+08 -2.0210148767048714e+08 -2.0226732782018945e+08 -2.0245873828150162e+08 -2.0268933365895340e+08 -2.0296906005515578e+08 -2.0329948524198544e+08 -2.0368611598936653e+08 -2.0413813232859296e+08 -2.0466658239112869e+08 -2.0528421804837278e+08 -2.0600565917594644e+08 -2.0684760011387160e+08 -2.0782901697654188e+08 -2.0897137437604919e+08 -2.1029876744007131e+08 -2.1183802351406327e+08 -2.1361867961532298e+08 -2.1567282466554004e+08 -2.1803464822062683e+08 -2.2095591299111056e+08 -2.2431752011105639e+08 -2.2816077862336704e+08 -2.3251991260114133e+08 -2.3741584719396141e+08 -2.4284758118779165e+08 -2.4878075792262715e+08 -2.5513337917130795e+08 -2.6175974056813353e+08 -2.6843365407622352e+08 -2.7484403582016385e+08 -2.8058044483318573e+08 -2.8515377226589572e+08 -2.8807878853007358e+08 -2.8890763221810836e+08 -2.8733614807411003e+08 -2.8326381573355055e+08 -2.7683273082460499e+08 -2.6840803290656483e+08 -2.5849851071844992e+08 -2.4768932601080808e+08 -2.3653382408762336e+08 -2.2552095694523659e+08 -2.1501428682304230e+08 -2.0528166304017147e+08 -1.9649022194347206e+08 -1.8871691681525239e+08 -1.8200111909765440e+08 -1.7632389466124767e+08 -1.7163667996352684e+08 -1.6788554736749992e+08 -1.6496859473426983e+08 -1.6278892947659522e+08 -1.6122679226703432e+08 -1.6014573374339551e+08 -1.5942674410807365e+08 -1.5893983352787644e+08 -1.5858482302605930e+08 -1.5829966089741731e+08 -1.5811408160985959e+08 -1.5793192556191990e+08 -1.5774831346528277e+08 -1.5755684022810319e+08 -1.5735956957614458e+08 -1.5715437924226204e+08 -1.5692955571260411e+08 -1.5669208442677930e+08 -1.5643786979923260e+08 -1.5616221611290705e+08 -1.5586145620766139e+08 -1.5553113456422210e+08 -1.5516623126481643e+08 -1.5476324674217623e+08 -1.5430464347902718e+08 -1.5379913282143646e+08 -1.5323224735788214e+08 -1.5259574649176121e+08 -1.5188076298676136e+08 -1.5107815117585242e+08 -1.5017873865076968e+08 -1.4917595742674106e+08 -1.4805351326536214e+08 -1.4681662434990883e+08 -1.4545894906880286e+08 -1.4398362999999067e+08 -1.4240224219959754e+08 -1.4073448423691192e+08 -1.3901785412971389e+08 -1.3731144032402527e+08 -1.3569041825501943e+08 -1.3429236409348303e+08 -1.3328750408200826e+08 -1.3292972570603722e+08 -1.3357703873465765e+08 -1.3576115227342016e+08 -1.4028716472351271e+08 -1.4843180808700374e+08 -1.6231595247284693e+08 2.5557152072215331e+08 +1.4712570856952285e+00 -2.0223570564655420e+08 -2.0217050431684116e+08 -2.0206368371864411e+08 -2.0192790444685623e+08 -2.0179860423933017e+08 -2.0172942991687891e+08 -2.0174372030590671e+08 -2.0180124876098222e+08 -2.0186182595179564e+08 -2.0191805829182601e+08 -2.0197550630958009e+08 -2.0203548919727859e+08 -2.0209776824850863e+08 -2.0216288671998808e+08 -2.0223193173610157e+08 -2.0230587460097441e+08 -2.0238597836493158e+08 -2.0247404091365209e+08 -2.0257222144471017e+08 -2.0268298373481077e+08 -2.0280915579328001e+08 -2.0295386590596300e+08 -2.0311989461675200e+08 -2.0331153650962692e+08 -2.0354241207188872e+08 -2.0382246794249010e+08 -2.0415327756821728e+08 -2.0454035529879394e+08 -2.0499288857409659e+08 -2.0552193281410733e+08 -2.0614024669623283e+08 -2.0686245564747116e+08 -2.0770525718951908e+08 -2.0868762667110881e+08 -2.0983102175626111e+08 -2.1115952115842161e+08 -2.1269992193248954e+08 -2.1448171073801377e+08 -2.1653689780934349e+08 -2.1889955432655266e+08 -2.2182128223802531e+08 -2.2518259989521977e+08 -2.2902437144289875e+08 -2.3338019713352418e+08 -2.3827014646155009e+08 -2.4369207314866969e+08 -2.4961013302161202e+08 -2.5594046732481402e+08 -2.6253516090548798e+08 -2.6916558213997573e+08 -2.7551826211014676e+08 -2.8118079004541993e+08 -2.8566308177510685e+08 -2.8848070630378401e+08 -2.8918860564592749e+08 -2.8748745081344765e+08 -2.8328295270478302e+08 -2.7672378148000818e+08 -2.6818084794533902e+08 -2.5816696123429328e+08 -2.4726934036588773e+08 -2.3604146301209915e+08 -2.2497114263692477e+08 -2.1441993476935655e+08 -2.0465350168182689e+08 -1.9583684602597860e+08 -1.8804498921637255e+08 -1.8131577640974027e+08 -1.7562905255373400e+08 -1.7093526599362567e+08 -1.6717981684888452e+08 -1.6426020096018940e+08 -1.6207911931094393e+08 -1.6051645177715096e+08 -1.5943549659193292e+08 -1.5871706870458758e+08 -1.5823096931388643e+08 -1.5787689116878927e+08 -1.5759275349286893e+08 -1.5740794480258709e+08 -1.5722658255837214e+08 -1.5704378721118900e+08 -1.5685317203643683e+08 -1.5665678737226012e+08 -1.5645254220965165e+08 -1.5622865943677565e+08 -1.5599225448239896e+08 -1.5573918094111136e+08 -1.5546476406317985e+08 -1.5516535306110075e+08 -1.5483651231278703e+08 -1.5447324431402227e+08 -1.5407208802145827e+08 -1.5361547059880185e+08 -1.5311222326648164e+08 -1.5254787519224417e+08 -1.5191422257374081e+08 -1.5120243777346066e+08 -1.5040341595893741e+08 -1.4950802568307346e+08 -1.4850975035232955e+08 -1.4739225916296071e+08 -1.4616089984601867e+08 -1.4480929352798897e+08 -1.4334056875418186e+08 -1.4176624886607164e+08 -1.4010594444750053e+08 -1.3839698604765254e+08 -1.3669821850281280e+08 -1.3508438110122055e+08 -1.3369257599736057e+08 -1.3269220885510886e+08 -1.3233605296748771e+08 -1.3298048007363918e+08 -1.3515483399180660e+08 -1.3966062757796568e+08 -1.4776892077032295e+08 -1.6159097239043215e+08 2.5651729717351586e+08 +1.4762254084694866e+00 -2.0308396084430134e+08 -2.0301881570382270e+08 -2.0291209560263881e+08 -2.0277644662612993e+08 -2.0264727599614415e+08 -2.0257818219505739e+08 -2.0259248359540832e+08 -2.0264998819967008e+08 -2.0271054295761114e+08 -2.0276676195039937e+08 -2.0282420229755142e+08 -2.0288418353559887e+08 -2.0294646840461764e+08 -2.0301160171881422e+08 -2.0308067159557945e+08 -2.0315465087287694e+08 -2.0323480433533552e+08 -2.0332293158204690e+08 -2.0342119387808582e+08 -2.0353205741561177e+08 -2.0365835305056882e+08 -2.0380321247718686e+08 -2.0396942182604644e+08 -2.0416128560381493e+08 -2.0439242972516140e+08 -2.0467280109547058e+08 -2.0500397858779868e+08 -2.0539148371943489e+08 -2.0584451081633896e+08 -2.0637412196025535e+08 -2.0699308189833641e+08 -2.0771602074295187e+08 -2.0855963817680684e+08 -2.0954290758215702e+08 -2.1068727826081091e+08 -2.1201681084699902e+08 -2.1355827014642900e+08 -2.1534109016072094e+08 -2.1739719973950249e+08 -2.1976054853987876e+08 -2.2268256066190296e+08 -2.2604337603092363e+08 -2.2988340792274249e+08 -2.3423562613719493e+08 -2.3911923746968541e+08 -2.4453094364464077e+08 -2.5043340711256158e+08 -2.5674090535323393e+08 -2.6330331410204381e+08 -2.6988956775208849e+08 -2.7618383302317560e+08 -2.8177176345101035e+08 -2.8616234683305109e+08 -2.8887200652458799e+08 -2.8945854295860010e+08 -2.8762749450840002e+08 -2.8329082002105510e+08 -2.7660375148735368e+08 -2.6794293303051928e+08 -2.5782514164017665e+08 -2.4683959912791681e+08 -2.3553986887156510e+08 -2.2441259202001223e+08 -2.1381729679485589e+08 -2.0401744884449100e+08 -1.9517591519130564e+08 -1.8736578809104508e+08 -1.8062339139593533e+08 -1.7492735524420783e+08 -1.7022714577041578e+08 -1.6646749641418150e+08 -1.6354530621213445e+08 -1.6136287434254509e+08 -1.5979972418945864e+08 -1.5871890596877822e+08 -1.5800106322870129e+08 -1.5751579168622747e+08 -1.5716265861713228e+08 -1.5687955620224762e+08 -1.5669552538041407e+08 -1.5651496415220270e+08 -1.5633299285754055e+08 -1.5614324337300828e+08 -1.5594775255872148e+08 -1.5574446084772363e+08 -1.5552152748615348e+08 -1.5528619832466686e+08 -1.5503427599608564e+08 -1.5476110690483212e+08 -1.5446305678166690e+08 -1.5413571007865676e+08 -1.5377409190479919e+08 -1.5337477998017493e+08 -1.5292016634611052e+08 -1.5241920245049351e+08 -1.5185741431564695e+08 -1.5122663526060888e+08 -1.5051807759912035e+08 -1.4972267769678825e+08 -1.4883134543214869e+08 -1.4783761596055010e+08 -1.4672512207909524e+08 -1.4549934153258526e+08 -1.4415385814876831e+08 -1.4269178631507042e+08 -1.4112459719844934e+08 -1.3947181261466354e+08 -1.3777059415411860e+08 -1.3607954078506964e+08 -1.3447295221966511e+08 -1.3308745174752331e+08 -1.3209161742436835e+08 -1.3173709834986334e+08 -1.3237861383531816e+08 -1.3454312132600826e+08 -1.3902851618778670e+08 -1.4710013570054001e+08 -1.6085954252139175e+08 2.5746022467430037e+08 +1.4811937312437446e+00 -2.0392918566227332e+08 -2.0386409512732941e+08 -2.0375747622467017e+08 -2.0362195878329426e+08 -2.0349291599026379e+08 -2.0342390176057458e+08 -2.0343821447046804e+08 -2.0349569475698876e+08 -2.0355622636281624e+08 -2.0361243132186162e+08 -2.0366986304262960e+08 -2.0372984148439085e+08 -2.0379213081482813e+08 -2.0385727730438498e+08 -2.0392637007627282e+08 -2.0400038339008704e+08 -2.0408058373114565e+08 -2.0416877230126721e+08 -2.0426711235768485e+08 -2.0437807238364407e+08 -2.0450448594334126e+08 -2.0464948798736337e+08 -2.0481587001430830e+08 -2.0500794608733812e+08 -2.0523934708920601e+08 -2.0552001992127517e+08 -2.0585154863292554e+08 -2.0623946149636254e+08 -2.0669295919796693e+08 -2.0722310985235497e+08 -2.0784268353903303e+08 -2.0856631418600509e+08 -2.0941070261271796e+08 -2.1039481903097266e+08 -2.1154010296363428e+08 -2.1287059529708937e+08 -2.1441302662607098e+08 -2.1619677599178135e+08 -2.1825368816121802e+08 -2.2061758812261456e+08 -2.2353970500984269e+08 -2.2689980472447643e+08 -2.3073784372576863e+08 -2.3508615477279311e+08 -2.3996307498228383e+08 -2.4536414724797413e+08 -2.5125053492123374e+08 -2.5753464867254901e+08 -2.6406415704386586e+08 -2.7060557033160090e+08 -2.7684071186013854e+08 -2.8235333380811638e+08 -2.8665154330114120e+08 -2.8925267362350392e+08 -2.8971743815172780e+08 -2.8775628299362934e+08 -2.8328743080955452e+08 -2.7647266200103408e+08 -2.6769431562284675e+08 -2.5747308385914606e+08 -2.4640013699701816e+08 -2.3502907778849971e+08 -2.2384534166609213e+08 -2.1320640929988390e+08 -2.0337354041025808e+08 -1.9450746465057099e+08 -1.8667934795141041e+08 -1.7992399791125721e+08 -1.7421883600753009e+08 -1.6951235207887828e+08 -1.6574861844860542e+08 -1.6282394255920219e+08 -1.6064022639763749e+08 -1.5907664115032899e+08 -1.5799599338822940e+08 -1.5727875909801435e+08 -1.5679433198984137e+08 -1.5644215665755394e+08 -1.5616010026020947e+08 -1.5597685454236564e+08 -1.5579710150658110e+08 -1.5561596153143892e+08 -1.5542708532702172e+08 -1.5523249618574023e+08 -1.5503016616534716e+08 -1.5480819082719097e+08 -1.5457394687286115e+08 -1.5432318583316427e+08 -1.5405127545229211e+08 -1.5375459812425616e+08 -1.5342875855143702e+08 -1.5306880465430164e+08 -1.5267135315533727e+08 -1.5221876116940168e+08 -1.5172010072208208e+08 -1.5116089496442437e+08 -1.5053301466310617e+08 -1.4982771243335316e+08 -1.4903596620037016e+08 -1.4814872753100157e+08 -1.4715958368578145e+08 -1.4605213122879279e+08 -1.4483197838051349e+08 -1.4349267163371927e+08 -1.4203731109388474e+08 -1.4047731529586542e+08 -1.3883211650814992e+08 -1.3713870588008395e+08 -1.3545543426429346e+08 -1.3385615838536055e+08 -1.3247701784306209e+08 -1.3148575609067424e+08 -1.3113288808269641e+08 -1.3177146637675682e+08 -1.3392604106415945e+08 -1.3839085823459786e+08 -1.4642548216489434e+08 -1.6012169489568466e+08 2.5840028609483683e+08 +1.4861620540180027e+00 -2.0477133946624956e+08 -2.0470630543609846e+08 -2.0459978804299402e+08 -2.0446440024756625e+08 -2.0433548580392012e+08 -2.0426655014591846e+08 -2.0428087370834893e+08 -2.0433832937910065e+08 -2.0439883713582322e+08 -2.0445502732581809e+08 -2.0451244948378563e+08 -2.0457242397264391e+08 -2.0463471639962709e+08 -2.0469987438898119e+08 -2.0476898807527396e+08 -2.0484303303663853e+08 -2.0492327742140761e+08 -2.0501152392380205e+08 -2.0510993771630239e+08 -2.0522098944958499e+08 -2.0534751525574455e+08 -2.0549265318945211e+08 -2.0565919989757678e+08 -2.0585147863314754e+08 -2.0608312478532615e+08 -2.0636408497841820e+08 -2.0669594818835825e+08 -2.0708424902783450e+08 -2.0753819401675469e+08 -2.0806885667114797e+08 -2.0868901166219884e+08 -2.0941329586135483e+08 -2.1025841019836354e+08 -2.1124332050728664e+08 -2.1238945511131436e+08 -2.1372083347694758e+08 -2.1526415002463773e+08 -2.1704872652948311e+08 -2.1910632097815090e+08 -2.2147063054512256e+08 -2.2439267224974692e+08 -2.2775184241775340e+08 -2.3158763477017543e+08 -2.3593173847786546e+08 -2.4080161406702480e+08 -2.4619163886675206e+08 -2.5206147154712802e+08 -2.5832165311527577e+08 -2.6481764708038574e+08 -2.7131354981062460e+08 -2.7748886248345101e+08 -2.8292547047753626e+08 -2.8713064767075151e+08 -2.8962269266925144e+08 -2.8996528584064406e+08 -2.8787382067950130e+08 -2.8327279870887774e+08 -2.7633053460964853e+08 -2.6743502353840217e+08 -2.5711082009722540e+08 -2.4595098889491045e+08 -2.3450912605932930e+08 -2.2326942828694239e+08 -2.1258730879922998e+08 -2.0272181235945892e+08 -1.9383152970269009e+08 -1.8598570339063060e+08 -1.7921762988771614e+08 -1.7350352819253677e+08 -1.6879091777672556e+08 -1.6502321540877998e+08 -1.6209614214123562e+08 -1.5991120737326175e+08 -1.5834723437600225e+08 -1.5726679043452618e+08 -1.5655018779985997e+08 -1.5606662163914186e+08 -1.5571541664620674e+08 -1.5543441697059232e+08 -1.5525196355660442e+08 -1.5507302585410482e+08 -1.5489272442895019e+08 -1.5470472905652726e+08 -1.5451104937225857e+08 -1.5430968923994246e+08 -1.5408868049485859e+08 -1.5385553111483109e+08 -1.5360594138967463e+08 -1.5333530058820641e+08 -1.5304000791177598e+08 -1.5271568848860246e+08 -1.5235741324792144e+08 -1.5196183815136471e+08 -1.5151128558457449e+08 -1.5101494849676195e+08 -1.5045834744195497e+08 -1.4983339095835313e+08 -1.4913137231165946e+08 -1.4834331134654918e+08 -1.4746020167862540e+08 -1.4647568302790892e+08 -1.4537331589156878e+08 -1.4415883942440191e+08 -1.4282576274882028e+08 -1.4137717156491777e+08 -1.3982443131963277e+08 -1.3818688395946184e+08 -1.3650134871737698e+08 -1.3482592609389487e+08 -1.3323402643324506e+08 -1.3186130084199382e+08 -1.3087465121320847e+08 -1.3052344845358604e+08 -1.3115906411357297e+08 -1.3330362005389315e+08 -1.3774768146103850e+08 -1.4574498951647991e+08 -1.5937746161422566e+08 2.5933746449251062e+08 +1.4911303767922608e+00 -2.0561038742248547e+08 -2.0554540707201934e+08 -2.0543898958240351e+08 -2.0530373285361183e+08 -2.0517494571592286e+08 -2.0510608903977469e+08 -2.0512042238907921e+08 -2.0517785310846397e+08 -2.0523833641329721e+08 -2.0529451103240478e+08 -2.0535192270633870e+08 -2.0541189207783180e+08 -2.0547418622729388e+08 -2.0553935403455755e+08 -2.0560848663858137e+08 -2.0568256084546277e+08 -2.0576284642385730e+08 -2.0585114745133632e+08 -2.0594963093643060e+08 -2.0606076957352388e+08 -2.0618740192224696e+08 -2.0633266898656213e+08 -2.0649937234269547e+08 -2.0669184406653005e+08 -2.0692372358708382e+08 -2.0720495697860810e+08 -2.0753713789362562e+08 -2.0792580686831021e+08 -2.0838017572761726e+08 -2.0891132275575912e+08 -2.0953202647246918e+08 -2.1025692581760234e+08 -2.1110272080175596e+08 -2.1208837167044315e+08 -2.1323529412391117e+08 -2.1456748453399342e+08 -2.1611159917955720e+08 -2.1789690026356345e+08 -2.1995505629329729e+08 -2.2231963348652911e+08 -2.2524141957199624e+08 -2.2859944579033852e+08 -2.3243273722972146e+08 -2.3677233296862620e+08 -2.4163481009788859e+08 -2.4701337374653864e+08 -2.5286617246409333e+08 -2.5910187493070087e+08 -2.6556374202560413e+08 -2.7201346663448077e+08 -2.7812824931693155e+08 -2.8348814342161548e+08 -2.8759963706204820e+08 -2.8998204936434865e+08 -2.9020208125544995e+08 -2.8798011254716897e+08 -2.8324693786397779e+08 -2.7617739133143467e+08 -2.6716508494455612e+08 -2.5673838283977339e+08 -2.4549218996265066e+08 -2.3398005015260988e+08 -2.2268488873067349e+08 -2.1196003192098427e+08 -2.0206230076939967e+08 -1.9314814573316020e+08 -1.8528488908147910e+08 -1.7850432133270770e+08 -1.7278146522183216e+08 -1.6806287579299691e+08 -1.6429131982175452e+08 -1.6136193716796070e+08 -1.5917584923547232e+08 -1.5761153565140206e+08 -1.5653132876036975e+08 -1.5581538088985631e+08 -1.5533269211666000e+08 -1.5498247000698382e+08 -1.5470253770571220e+08 -1.5452088375930989e+08 -1.5434276849531034e+08 -1.5416331281409076e+08 -1.5397620578754970e+08 -1.5378344330490535e+08 -1.5358306121655166e+08 -1.5336302759169695e+08 -1.5313098210588852e+08 -1.5288257367045158e+08 -1.5261321326254326e+08 -1.5231931703444040e+08 -1.5199653071452430e+08 -1.5163994843743700e+08 -1.5124626563966450e+08 -1.5079777017371985e+08 -1.5030377625657436e+08 -1.4974980211783558e+08 -1.4912779438966241e+08 -1.4842908733563229e+08 -1.4764474307739234e+08 -1.4676579763851544e+08 -1.4578594355080014e+08 -1.4468870541100627e+08 -1.4347995376253241e+08 -1.4215316032315400e+08 -1.4071139626438338e+08 -1.3916597349250558e+08 -1.3753614286057666e+08 -1.3585855021761075e+08 -1.3419104348671842e+08 -1.3260658325627001e+08 -1.3124032736029060e+08 -1.3025832920864560e+08 -1.2990880580752198e+08 -1.3054143351863898e+08 -1.3267588520118913e+08 -1.3709901367038178e+08 -1.4505868717181450e+08 -1.5862687484816086e+08 2.6027174311101806e+08 +1.4960986995665189e+00 -2.0644628678693783e+08 -2.0638136076797301e+08 -2.0627504485646868e+08 -2.0613991753424811e+08 -2.0601125778959471e+08 -2.0594247959010249e+08 -2.0595682200533953e+08 -2.0601422718654066e+08 -2.0607468547213039e+08 -2.0613084366679418e+08 -2.0618824394282517e+08 -2.0624820702623773e+08 -2.0631050151475257e+08 -2.0637567745340821e+08 -2.0644482696241570e+08 -2.0651892800005788e+08 -2.0659925190600339e+08 -2.0668760403634921e+08 -2.0678615315138665e+08 -2.0689737386659229e+08 -2.0702410702882588e+08 -2.0716949643402821e+08 -2.0733634836931866e+08 -2.0752900336505696e+08 -2.0776110442204279e+08 -2.0804259678863680e+08 -2.0837507854352212e+08 -2.0876409572888103e+08 -2.0921886494430768e+08 -2.0975046860600072e+08 -2.1037168833704981e+08 -2.1109716426820073e+08 -2.1194359445833755e+08 -2.1292993235115078e+08 -2.1407757959708810e+08 -2.1541050779561850e+08 -2.1695533311506552e+08 -2.1874125587724531e+08 -2.2079985241126969e+08 -2.2316455483831552e+08 -2.2608590439094010e+08 -2.2944257176139262e+08 -2.3327310753628364e+08 -2.3760789424183005e+08 -2.4246261875538278e+08 -2.4782930747198206e+08 -2.5366459352157190e+08 -2.5987527078663537e+08 -2.6630240015777743e+08 -2.7270528176200765e+08 -2.7875883734448260e+08 -2.8404132320282221e+08 -2.8805848922018778e+08 -2.9033073004303300e+08 -2.9042782023810828e+08 -2.8807516414453655e+08 -2.8320986292142004e+08 -2.7601325461068058e+08 -2.6688452835633448e+08 -2.5635580484757131e+08 -2.4502377555601403e+08 -2.3344188670517173e+08 -2.2209175998014739e+08 -2.1132461540425172e+08 -2.0139504181266057e+08 -1.9245734821229327e+08 -1.8457693977568367e+08 -1.7778410632871339e+08 -1.7205268058905843e+08 -1.6732825912719265e+08 -1.6355296428409234e+08 -1.6062135991761091e+08 -1.5843418401868662e+08 -1.5686957682963037e+08 -1.5578964008618078e+08 -1.5507436999118090e+08 -1.5459257497268754e+08 -1.5424334823146543e+08 -1.5396449390467486e+08 -1.5378364655384496e+08 -1.5360636079736891e+08 -1.5342775801769689e+08 -1.5324154681272963e+08 -1.5304970923712695e+08 -1.5285031330712339e+08 -1.5263126328669423e+08 -1.5240033096766219e+08 -1.5215311374632803e+08 -1.5188504449121410e+08 -1.5159255644851100e+08 -1.5127131611972028e+08 -1.5091644104069096e+08 -1.5052466635704786e+08 -1.5007824558468714e+08 -1.4958661454851151e+08 -1.4903528942633861e+08 -1.4841625526485473e+08 -1.4772088767064968e+08 -1.4694029139871153e+08 -1.4606554523789614e+08 -1.4509039488172343e+08 -1.4399832919307280e+08 -1.4279535055503413e+08 -1.4147489324703592e+08 -1.4004001378981784e+08 -1.3850197009749702e+08 -1.3687992116314170e+08 -1.3521033799135643e+08 -1.3355081371368507e+08 -1.3197385580511048e+08 -1.3061412407088901e+08 -1.2963681654979071e+08 -1.2928898654568833e+08 -1.2991860112172095e+08 -1.3204286346975382e+08 -1.3644488272549492e+08 -1.4436660461016643e+08 -1.5786996683703989e+08 2.6120310537962115e+08 +1.5010670223407769e+00 -2.0727899887370333e+08 -2.0721412943333527e+08 -2.0710791322570446e+08 -2.0697291691841021e+08 -2.0684438324346170e+08 -2.0677568323816758e+08 -2.0679003413107118e+08 -2.0684741304289752e+08 -2.0690784571757367e+08 -2.0696398661816669e+08 -2.0702137457668674e+08 -2.0708133019570407e+08 -2.0714362363035107e+08 -2.0720880600919816e+08 -2.0727797039498547e+08 -2.0735209583617827e+08 -2.0743245518717492e+08 -2.0752085498382065e+08 -2.0761946564685920e+08 -2.0773076359293294e+08 -2.0785759181454024e+08 -2.0800309674051172e+08 -2.0817008915096408e+08 -2.0836291766135934e+08 -2.0859522837293556e+08 -2.0887696543137780e+08 -2.0920973109059840e+08 -2.0959907647976971e+08 -2.1005422244030562e+08 -2.1058625488338691e+08 -2.1120795778717589e+08 -2.1193397159308112e+08 -2.1278099137340137e+08 -2.1376796255332401e+08 -2.1491627130392900e+08 -2.1624986277194741e+08 -2.1779531104314527e+08 -2.1958175224819815e+08 -2.2164066784011638e+08 -2.2400535270452517e+08 -2.2692608434696779e+08 -2.3028117749127978e+08 -2.3410870238209170e+08 -2.3843837857618040e+08 -2.4328499602903044e+08 -2.4863939596778914e+08 -2.5445669094748670e+08 -2.6064179776982406e+08 -2.6703358022092560e+08 -2.7338895666590410e+08 -2.7938059210998404e+08 -2.8458498098302799e+08 -2.8850718251468307e+08 -2.9066872166687530e+08 -2.9064249923746729e+08 -2.8815898158166939e+08 -2.8316158902519929e+08 -2.7583814731191140e+08 -2.6659338263111454e+08 -2.5596311915362999e+08 -2.4454578124435690e+08 -2.3289467252065843e+08 -2.2149007915196896e+08 -2.1068109609755701e+08 -2.0072007175579834e+08 -1.9175917269477415e+08 -1.8386189030206975e+08 -1.7705701903118882e+08 -1.7131720785955635e+08 -1.6658710084811544e+08 -1.6280818146053457e+08 -1.5987444273608565e+08 -1.5768624382419294e+08 -1.5612138983062676e+08 -1.5504175619931266e+08 -1.5432718679376063e+08 -1.5384630182350442e+08 -1.5349808287718493e+08 -1.5322031707272112e+08 -1.5304028340957531e+08 -1.5286383419376606e+08 -1.5268609143658438e+08 -1.5250078349068227e+08 -1.5230987848784554e+08 -1.5211147678878090e+08 -1.5189341881448117e+08 -1.5166360888718367e+08 -1.5141759275395039e+08 -1.5115082535577014e+08 -1.5085975717513397e+08 -1.5054007565965813e+08 -1.5018692194036201e+08 -1.4979707110486400e+08 -1.4935274252975398e+08 -1.4886349398416406e+08 -1.4831483986570710e+08 -1.4769880395514596e+08 -1.4700680354577097e+08 -1.4622998637982902e+08 -1.4535947436686468e+08 -1.4438906671020055e+08 -1.4330221670572251e+08 -1.4210505902365798e+08 -1.4079099047188270e+08 -1.3936305279834679e+08 -1.3783244947716489e+08 -1.3621824687765151e+08 -1.3455673970722821e+08 -1.3290526410292727e+08 -1.3133587108691686e+08 -1.2998271770240651e+08 -1.2901013976558362e+08 -1.2866401712480001e+08 -1.2929059350824414e+08 -1.3140458187976745e+08 -1.3578531654730919e+08 -1.4366877137342232e+08 -1.5710676988835070e+08 2.6213153491240382e+08 +1.5060353451150350e+00 -2.0810848878727475e+08 -2.0804367278102151e+08 -2.0793755739530039e+08 -2.0780269090465653e+08 -2.0767428348006782e+08 -2.0760566064210722e+08 -2.0762001991876069e+08 -2.0767737225670719e+08 -2.0773777869894603e+08 -2.0779390144205797e+08 -2.0785127614754227e+08 -2.0791122311686695e+08 -2.0797351409475622e+08 -2.0803870121709359e+08 -2.0810787843798006e+08 -2.0818202584390479e+08 -2.0826241774042538e+08 -2.0835086175230396e+08 -2.0844952986265841e+08 -2.0856090017065409e+08 -2.0868781767357373e+08 -2.0883343127029550e+08 -2.0900055601690033e+08 -2.0919354824444255e+08 -2.0942605667946860e+08 -2.0970802408753908e+08 -2.1004105664627227e+08 -2.1043071015128255e+08 -2.1088620915147594e+08 -2.1141864241298339e+08 -2.1204079551952496e+08 -2.1276730834017417e+08 -2.1361487192271069e+08 -2.1460242245488071e+08 -2.1575132919565862e+08 -2.1708550915584925e+08 -2.1863149236467355e+08 -2.2041834845092312e+08 -2.2247746129213694e+08 -2.2484198540350956e+08 -2.2776191730719113e+08 -2.3111522038334391e+08 -2.3493947871955785e+08 -2.3926374253403780e+08 -2.4410189821870762e+08 -2.4944359550081506e+08 -2.5524242134677890e+08 -2.6140141338811180e+08 -2.6775724142509675e+08 -2.7406445333193552e+08 -2.7999347971648961e+08 -2.8511908852059042e+08 -2.8894569593634665e+08 -2.9099601182315195e+08 -2.9084611530632979e+08 -2.8823157152666903e+08 -2.8310213181137723e+08 -2.7565209271620631e+08 -2.6629167696591958e+08 -2.5556035905883488e+08 -2.4405824280535614e+08 -2.3233844456663552e+08 -2.2087988349174058e+08 -2.1002951095696253e+08 -2.0003742695757726e+08 -1.9105365481695613e+08 -1.8313977556565005e+08 -1.7632309366790232e+08 -1.7057508066807050e+08 -1.6583943409258083e+08 -1.6205700408287352e+08 -1.5912121803580776e+08 -1.5693206081966916e+08 -1.5536700663992101e+08 -1.5428770895215562e+08 -1.5357386305224678e+08 -1.5309390435054946e+08 -1.5274670556663984e+08 -1.5247003878029683e+08 -1.5229082586068425e+08 -1.5211522018251163e+08 -1.5193834453230590e+08 -1.5175394724455148e+08 -1.5156398244088641e+08 -1.5136658300355369e+08 -1.5114952547410724e+08 -1.5092084711614838e+08 -1.5067604189351088e+08 -1.5041058700157854e+08 -1.5012095029960600e+08 -1.4980284035339800e+08 -1.4945142208259550e+08 -1.4906351074846861e+08 -1.4862129178403473e+08 -1.4813444523784366e+08 -1.4758848399728319e+08 -1.4697547089509085e+08 -1.4628686525233021e+08 -1.4551385815186754e+08 -1.4464761497675443e+08 -1.4368198878693169e+08 -1.4260039747787464e+08 -1.4140910845027474e+08 -1.4010148100849643e+08 -1.3868054200668201e+08 -1.3715744003245437e+08 -1.3555114807224551e+08 -1.3389778309096484e+08 -1.3225442203893590e+08 -1.3069265616494016e+08 -1.2934613503900698e+08 -1.2837832543930888e+08 -1.2803392405615915e+08 -1.2865743731829272e+08 -1.3076106750734912e+08 -1.3512034311483547e+08 -1.4296521706371671e+08 -1.5633731637628260e+08 2.6305701550752670e+08 +1.5110036678892931e+00 -2.0893471364547402e+08 -2.0886995346808794e+08 -2.0876393886558989e+08 -2.0862920137884545e+08 -2.0850091943215257e+08 -2.0843237407132885e+08 -2.0844674104829875e+08 -2.0850406651469046e+08 -2.0856444611971751e+08 -2.0862054985577926e+08 -2.0867791035381058e+08 -2.0873784747644055e+08 -2.0880013458378702e+08 -2.0886532474590066e+08 -2.0893451274692309e+08 -2.0900867966787726e+08 -2.0908910119341886e+08 -2.0917758595589676e+08 -2.0927630739406082e+08 -2.0938774517383203e+08 -2.0951474615574315e+08 -2.0966046154379746e+08 -2.0982771045374826e+08 -2.1002085656046295e+08 -2.1025355074019504e+08 -2.1053573409739640e+08 -2.1086901648241529e+08 -2.1125895793514347e+08 -2.1171478617604521e+08 -2.1224759218492857e+08 -2.1287016239794594e+08 -2.1359713522722408e+08 -2.1444519665524149e+08 -2.1543327241022408e+08 -2.1658271340420091e+08 -2.1791740682584265e+08 -2.1946383667233714e+08 -2.2125100375769880e+08 -2.2331019168613037e+08 -2.2567441147049558e+08 -2.2859336136842152e+08 -2.3194465808468616e+08 -2.3576539376534957e+08 -2.4008394296298343e+08 -2.4491328193610385e+08 -2.5024186268099758e+08 -2.5602174170546764e+08 -2.6215407556942287e+08 -2.6847334344667381e+08 -2.7473173426010525e+08 -2.8059746682622260e+08 -2.8564361817089301e+08 -2.8937400909519267e+08 -2.9131258871940541e+08 -2.9103866609672815e+08 -2.8829294120032054e+08 -2.8303150740435404e+08 -2.7545511451665097e+08 -2.6597944089231363e+08 -2.5514755812997589e+08 -2.4356119622434700e+08 -2.3177323997170904e+08 -2.2026121037538368e+08 -2.0936989704452297e+08 -1.9934714386732715e+08 -1.9034083029644009e+08 -1.8241063054622924e+08 -1.7558236453762707e+08 -1.6982633271755144e+08 -1.6508529206484634e+08 -1.6129946494915527e+08 -1.5836171829459402e+08 -1.5617166723764160e+08 -1.5460645930786231e+08 -1.5352753026183811e+08 -1.5281443058614445e+08 -1.5233541429977682e+08 -1.5198924798681185e+08 -1.5171369066153321e+08 -1.5153530550516570e+08 -1.5136055032561180e+08 -1.5118454883017772e+08 -1.5100106956116360e+08 -1.5081205254365081e+08 -1.5061566335658059e+08 -1.5039961462789696e+08 -1.5017207696930006e+08 -1.4992849242913333e+08 -1.4966436063712734e+08 -1.4937616697039714e+08 -1.4905964128307891e+08 -1.4870997247638237e+08 -1.4832401621503964e+08 -1.4788392418561921e+08 -1.4739949904616547e+08 -1.4685625244420603e+08 -1.4624628658010873e+08 -1.4556110314315993e+08 -1.4479193690678930e+08 -1.4392999708001906e+08 -1.4296919092290097e+08 -1.4189290109785467e+08 -1.4070752817595842e+08 -1.3940639392659923e+08 -1.3799251018952447e+08 -1.3647697022194925e+08 -1.3487865287208375e+08 -1.3323349592430194e+08 -1.3159831496183339e+08 -1.3004423815665703e+08 -1.2870440291889228e+08 -1.2774140020834774e+08 -1.2739873390483432e+08 -1.2801915924623315e+08 -1.3011234748323275e+08 -1.3444999046368930e+08 -1.4225597134352177e+08 -1.5556163874047163e+08 2.6397953114648327e+08 +1.5159719906635511e+00 -2.0975763944835967e+08 -2.0969293299916691e+08 -2.0958701875598797e+08 -2.0945240909492403e+08 -2.0932425410435522e+08 -2.0925578551988795e+08 -2.0927015981779379e+08 -2.0932745764183685e+08 -2.0938780982666332e+08 -2.0944389373109984e+08 -2.0950123904923075e+08 -2.0956116511873648e+08 -2.0962344692965332e+08 -2.0968863841852289e+08 -2.0975783513382745e+08 -2.0983201910975203e+08 -2.0991246733110446e+08 -2.1000098936520451e+08 -2.1009975999342775e+08 -2.1021126033363432e+08 -2.1033833896896821e+08 -2.1048414924004632e+08 -2.1065151410642582e+08 -2.1084480421538246e+08 -2.1107767211280027e+08 -2.1136005696180075e+08 -2.1169357203257239e+08 -2.1208378118675438e+08 -2.1253991477768183e+08 -2.1307306535586852e+08 -2.1369601945520052e+08 -2.1442341314303556e+08 -2.1527192629382247e+08 -2.1626047295166659e+08 -2.1741038424313450e+08 -2.1874551584729770e+08 -2.2029230375109383e+08 -2.2207967764068931e+08 -2.2413881814893761e+08 -2.2650258965815908e+08 -2.2942037485758927e+08 -2.3276944848878637e+08 -2.3658640499952179e+08 -2.4089893699710068e+08 -2.4571910410592291e+08 -2.5103415446289539e+08 -2.5679460938968554e+08 -2.6289974266477570e+08 -2.6918184642984486e+08 -2.7539076246418768e+08 -2.8119252065894896e+08 -2.8615854288308918e+08 -2.8979210221721989e+08 -2.9161844118224293e+08 -2.9122014985641634e+08 -2.8834309837291527e+08 -2.8294973241143703e+08 -2.7524723681353623e+08 -2.6565670427308354e+08 -2.5472475019401717e+08 -2.4305467768964514e+08 -2.3119909602419561e+08 -2.1963409730421996e+08 -2.0870229152624333e+08 -1.9864925902387986e+08 -1.8962073493045786e+08 -1.8167449029715416e+08 -1.7483486600853324e+08 -1.6907099777889350e+08 -1.6432470803442729e+08 -1.6053559692227980e+08 -1.5759597605468881e+08 -1.5540509537460378e+08 -1.5383977994837046e+08 -1.5276125210882980e+08 -1.5204892127806711e+08 -1.5157086347985256e+08 -1.5122574188723963e+08 -1.5095130441367811e+08 -1.5077375400410426e+08 -1.5059985624790573e+08 -1.5042473591788593e+08 -1.5024218198997548e+08 -1.5005412030572072e+08 -1.4985874931607729e+08 -1.4964371770057586e+08 -1.4941732982339504e+08 -1.4917497568669471e+08 -1.4891217753308308e+08 -1.4862543839738473e+08 -1.4831050959249818e+08 -1.4796260419240606e+08 -1.4757861849382663e+08 -1.4714067063365492e+08 -1.4665868620699605e+08 -1.4611817589061722e+08 -1.4551128156678724e+08 -1.4482954763130358e+08 -1.4406425289697939e+08 -1.4320665074853280e+08 -1.4225070298849893e+08 -1.4117975721322092e+08 -1.4000034760042560e+08 -1.3870575835387897e+08 -1.3729898617883882e+08 -1.3579106856076303e+08 -1.3420078945797671e+08 -1.3256390604441008e+08 -1.3093697036617611e+08 -1.2939064423412269e+08 -1.2805754823359455e+08 -1.2709939076291151e+08 -1.2675847328860022e+08 -1.2737578603930642e+08 -1.2945844899236794e+08 -1.3377428668502441e+08 -1.4154106393437481e+08 -1.5477976948515663e+08 2.6489906599335450e+08 +1.5209403134378092e+00 -2.1057722620498282e+08 -2.1051257520441705e+08 -2.1040676061493334e+08 -2.1027227972580093e+08 -2.1014424960125041e+08 -2.1007585705458149e+08 -2.1009023828303361e+08 -2.1014750762016848e+08 -2.1020783179686773e+08 -2.1026389509211406e+08 -2.1032122424019170e+08 -2.1038113804538992e+08 -2.1044341312242502e+08 -2.1050860421348992e+08 -2.1057780756673825e+08 -2.1065200612862927e+08 -2.1073247809645197e+08 -2.1082103390944788e+08 -2.1091984957150072e+08 -2.1103140754021633e+08 -2.1115855797978535e+08 -2.1130445619676867e+08 -2.1147192878004745e+08 -2.1166535297526515e+08 -2.1189838251709309e+08 -2.1218095434433582e+08 -2.1251468489407527e+08 -2.1290514142572680e+08 -2.1336155638566032e+08 -2.1389502325023207e+08 -2.1451832789365745e+08 -2.1524610314875096e+08 -2.1609502173663911e+08 -2.1708398478979740e+08 -2.1823430220921811e+08 -2.1956979647351336e+08 -2.2111685358006355e+08 -2.2290432977280551e+08 -2.2496330001710546e+08 -2.2732647893850240e+08 -2.3024291633395204e+08 -2.3358954973668346e+08 -2.3740247016895646e+08 -2.4170868205938190e+08 -2.4651932196764749e+08 -2.5182042814667350e+08 -2.5756098214795771e+08 -2.6363837344747329e+08 -2.6988271098608190e+08 -2.7604150147137302e+08 -2.8177860899204159e+08 -2.8666383619980866e+08 -2.9019995614339793e+08 -2.9191355865306515e+08 -2.9139056542459762e+08 -2.8838205135852069e+08 -2.8285682391874576e+08 -2.7502848411052364e+08 -2.6532349729766446e+08 -2.5429196933657813e+08 -2.4253872359038153e+08 -2.3061605016786200e+08 -2.1899858190457624e+08 -2.0802673167096376e+08 -1.9794380905368659e+08 -1.8889340459462509e+08 -1.8093138994407073e+08 -1.7408063251786622e+08 -1.6830910968914586e+08 -1.6355771533621538e+08 -1.5976543292898184e+08 -1.5682402392148694e+08 -1.5463237758973101e+08 -1.5306700073788869e+08 -1.5198890653602982e+08 -1.5127736707250199e+08 -1.5080028376186717e+08 -1.5045621907964131e+08 -1.5018291179548237e+08 -1.5000620308005497e+08 -1.4983316963554949e+08 -1.4965893744520012e+08 -1.4947731614213970e+08 -1.4929021729855877e+08 -1.4909587241089344e+08 -1.4888186617840981e+08 -1.4865663711704001e+08 -1.4841552305325028e+08 -1.4815406902087516e+08 -1.4786879585174641e+08 -1.4755547648634088e+08 -1.4720934836174998e+08 -1.4682734863424197e+08 -1.4639156208744332e+08 -1.4591203757804033e+08 -1.4537428508039078e+08 -1.4477048647120392e+08 -1.4409222918914044e+08 -1.4333083643367606e+08 -1.4247760611289409e+08 -1.4152655491209176e+08 -1.4046099552917644e+08 -1.3928759618053854e+08 -1.3799960347431064e+08 -1.3659999886260319e+08 -1.3509976361952558e+08 -1.3351758606603011e+08 -1.3188904134260318e+08 -1.3027041580037336e+08 -1.2873190162192380e+08 -1.2740559792733502e+08 -1.2645232384527011e+08 -1.2611316887732206e+08 -1.2672734449704900e+08 -1.2879939927248976e+08 -1.3309325992482738e+08 -1.4082052461522135e+08 -1.5399174117771196e+08 2.6581560439406458e+08 +1.5259086362120673e+00 -2.1139343589587709e+08 -2.1132883979360637e+08 -2.1122312366755670e+08 -2.1108877197927055e+08 -2.1096086680038440e+08 -2.1089255093866360e+08 -2.1090693853616622e+08 -2.1096417862527758e+08 -2.1102447416130117e+08 -2.1108051611664721e+08 -2.1113782808209962e+08 -2.1119772841386023e+08 -2.1125999531063440e+08 -2.1132518426741174e+08 -2.1139439217239094e+08 -2.1146860284217092e+08 -2.1154909559208941e+08 -2.1163768167690367e+08 -2.1173653819947222e+08 -2.1184814884360379e+08 -2.1197536521550372e+08 -2.1212134441348556e+08 -2.1228891644141948e+08 -2.1248246476862127e+08 -2.1271564383524066e+08 -2.1299838807184875e+08 -2.1333231682872519e+08 -2.1372300033802447e+08 -2.1417967259761909e+08 -2.1471342736228424e+08 -2.1533704908778176e+08 -2.1606516648014206e+08 -2.1691444405952922e+08 -2.1790376881661791e+08 -2.1905442798410344e+08 -2.2039020914788887e+08 -2.2193744633410698e+08 -2.2372492002967441e+08 -2.2578359683737856e+08 -2.2814603850449422e+08 -2.3106094459028837e+08 -2.3440492021830046e+08 -2.3821354728775257e+08 -2.4251313586204344e+08 -2.4731389307752043e+08 -2.5260064138049752e+08 -2.5832081811204261e+08 -2.6436992711589503e+08 -2.7057589819481552e+08 -2.7668391532274729e+08 -2.8235570015965402e+08 -2.8715947225486153e+08 -2.9059755232656306e+08 -2.9219793118554348e+08 -2.9154991222822070e+08 -2.8840980901175636e+08 -2.8275279948702222e+08 -2.7479888130999309e+08 -2.6497985047830853e+08 -2.5384924989774758e+08 -2.4201337051329786e+08 -2.3002414000174075e+08 -2.1835470192511389e+08 -2.0734325484745073e+08 -1.9723083066932940e+08 -1.8815887524137023e+08 -1.8018136468374005e+08 -1.7331969857009143e+08 -1.6754070235020328e+08 -1.6278434736853874e+08 -1.5898900595888239e+08 -1.5604589456259143e+08 -1.5385354630417579e+08 -1.5228815391433278e+08 -1.5121052564742973e+08 -1.5049979997555101e+08 -1.5002370707756281e+08 -1.4968071143653020e+08 -1.4940854462697899e+08 -1.4923268451656881e+08 -1.4906052223605451e+08 -1.4888718512217569e+08 -1.4870650368907288e+08 -1.4852037515365174e+08 -1.4832706423079893e+08 -1.4811409160757706e+08 -1.4789003034849015e+08 -1.4765016597587550e+08 -1.4739006649219674e+08 -1.4710627066439429e+08 -1.4679457322893667e+08 -1.4645023617539352e+08 -1.4607023774502969e+08 -1.4563662956575072e+08 -1.4515958407632282e+08 -1.4462461081618235e+08 -1.4402393196785316e+08 -1.4334917834756994e+08 -1.4259171788595366e+08 -1.4174289336132234e+08 -1.4079677667979544e+08 -1.3973664580771908e+08 -1.3856930342954215e+08 -1.3728795852845636e+08 -1.3589557718458185e+08 -1.3440308402383628e+08 -1.3282907098631264e+08 -1.3120892976389673e+08 -1.2959867886510758e+08 -1.2806803759688540e+08 -1.2674857899575377e+08 -1.2580022624909160e+08 -1.2546284739174566e+08 -1.2607386147022401e+08 -1.2813522561346135e+08 -1.3240693838320316e+08 -1.4009438322290978e+08 -1.5319758644848207e+08 2.6672913087563670e+08 +1.5308769589863254e+00 -2.1220623180917862e+08 -2.1214168890720835e+08 -2.1203607521134204e+08 -2.1190185076919749e+08 -2.1177406972539330e+08 -2.1170582941445825e+08 -2.1172022276500511e+08 -2.1177743307206598e+08 -2.1183769924085119e+08 -2.1189371913291219e+08 -2.1195101288274854e+08 -2.1201089853800383e+08 -2.1207315580232841e+08 -2.1213834087577188e+08 -2.1220755123709244e+08 -2.1228177152865213e+08 -2.1236228208222258e+08 -2.1245089491734421e+08 -2.1254978810900483e+08 -2.1266144645573628e+08 -2.1278872286500281e+08 -2.1293477605197680e+08 -2.1310243922016478e+08 -2.1329610168760860e+08 -2.1352941811405602e+08 -2.1381232013686997e+08 -2.1414642976531988e+08 -2.1453731977760389e+08 -2.1499422517972422e+08 -2.1552823935707247e+08 -2.1615214458469841e+08 -2.1688056454810020e+08 -2.1773015451625869e+08 -2.1871978610584170e+08 -2.1987072243600911e+08 -2.2120671450496992e+08 -2.2275404238523498e+08 -2.2454140849178562e+08 -2.2659966837013015e+08 -2.2896122777202773e+08 -2.3187441865514237e+08 -2.3521551857459673e+08 -2.3901959463914111e+08 -2.4331225640866876e+08 -2.4810277530859792e+08 -2.5337475216034237e+08 -2.5907407579824436e+08 -2.6509436329169789e+08 -2.7126136960429525e+08 -2.7731796857317585e+08 -2.8292376305115920e+08 -2.8764542577240062e+08 -2.9098487282880449e+08 -2.9247154944157839e+08 -2.9169819027807975e+08 -2.8842638072274917e+08 -2.8263767714607227e+08 -2.7455845370830059e+08 -2.6462579464645380e+08 -2.5339662646819407e+08 -2.4147865524046019e+08 -2.2942340327623725e+08 -2.1770249523500651e+08 -2.0665189852433524e+08 -1.9651036066822866e+08 -1.8741718289879522e+08 -1.7942444978270096e+08 -1.7255209873559880e+08 -1.6676580972825181e+08 -1.6200463759241530e+08 -1.5820634906352666e+08 -1.5526162070676199e+08 -1.5306863399974194e+08 -1.5150327177620056e+08 -1.5042614160724849e+08 -1.4971625205290776e+08 -1.4924116541886747e+08 -1.4889925089035705e+08 -1.4862823478762117e+08 -1.4845323015670872e+08 -1.4828194585580209e+08 -1.4810951071856606e+08 -1.4792977636177307e+08 -1.4774462556230795e+08 -1.4755235642455974e+08 -1.4734042559371486e+08 -1.4711754107535523e+08 -1.4687893596086150e+08 -1.4662020139756051e+08 -1.4633789422519091e+08 -1.4602783114340276e+08 -1.4568529888259044e+08 -1.4530731699398538e+08 -1.4487590414557824e+08 -1.4440135667673096e+08 -1.4386918395877057e+08 -1.4327164878925195e+08 -1.4260042569439381e+08 -1.4184692768022716e+08 -1.4100254273895752e+08 -1.4006139833353952e+08 -1.3900673786706665e+08 -1.3784549891606575e+08 -1.3657085281122321e+08 -1.3518575014247930e+08 -1.3370105845266999e+08 -1.3213527256189172e+08 -1.3052359930526310e+08 -1.2892178721362989e+08 -1.2739907948711412e+08 -1.2608651848515116e+08 -1.2514312481814258e+08 -1.2480753560288912e+08 -1.2541536386011302e+08 -1.2746595535690007e+08 -1.3171535031306525e+08 -1.3936266964940667e+08 -1.5239733798832488e+08 2.6763963014544791e+08 +1.5358452817605834e+00 -2.1301557496761367e+08 -2.1295108752433023e+08 -2.1284557144223538e+08 -2.1271147765149122e+08 -2.1258381975961536e+08 -2.1251565453107715e+08 -2.1253005346892896e+08 -2.1258723359232429e+08 -2.1264746953977987e+08 -2.1270346661733186e+08 -2.1276074111017323e+08 -2.1282061088892370e+08 -2.1288285706516254e+08 -2.1294803649611202e+08 -2.1301724720865923e+08 -2.1309147462703905e+08 -2.1317199999304599e+08 -2.1326063604228830e+08 -2.1335956169544652e+08 -2.1347126275176853e+08 -2.1359859328103003e+08 -2.1374471343785700e+08 -2.1391245941065857e+08 -2.1410622598920655e+08 -2.1433966756597841e+08 -2.1462271269856802e+08 -2.1495698579946783e+08 -2.1534806176666179e+08 -2.1580517606924617e+08 -2.1633942107190335e+08 -2.1696357610658449e+08 -2.1769225894111419e+08 -2.1854211454138282e+08 -2.1953199791522533e+08 -2.2068314662054724e+08 -2.2201927337219465e+08 -2.2356660230428734e+08 -2.2535375544476676e+08 -2.2741147458916822e+08 -2.2977200638053751e+08 -2.3268329779336455e+08 -2.3602130369842443e+08 -2.3982057077725166e+08 -2.4410600199569401e+08 -2.4888592685306293e+08 -2.5414271883264574e+08 -2.5982071410799044e+08 -2.6581164202325413e+08 -2.7193908723238534e+08 -2.7794362629088819e+08 -2.8348276711202288e+08 -2.8812167206467634e+08 -2.9136190031929827e+08 -2.9273440468809134e+08 -2.9183540016443074e+08 -2.8843177641289276e+08 -2.8251147539127135e+08 -2.7430722699230933e+08 -2.6426136094890040e+08 -2.5293413388656491e+08 -2.4093461474548736e+08 -2.2881387789018112e+08 -2.1704199982202977e+08 -2.0595270026671359e+08 -1.9578243593100807e+08 -1.8666836366888738e+08 -1.7866068057614601e+08 -1.7177786765045446e+08 -1.6598446585223028e+08 -1.6121861953042707e+08 -1.5741749535453653e+08 -1.5447123514288181e+08 -1.5227767321773863e+08 -1.5071238668113354e+08 -1.4963578663927400e+08 -1.4892675542964867e+08 -1.4845269083649048e+08 -1.4811186943224233e+08 -1.4784201421553487e+08 -1.4766787190212652e+08 -1.4749747235996598e+08 -1.4732594606256917e+08 -1.4714716594980231e+08 -1.4696300027385187e+08 -1.4677178069927329e+08 -1.4656089980057773e+08 -1.4633920091333392e+08 -1.4610186457235664e+08 -1.4584450524526531e+08 -1.4556369798157793e+08 -1.4525528161018667e+08 -1.4491456779036921e+08 -1.4453861760544264e+08 -1.4410941696095946e+08 -1.4363738641117421e+08 -1.4310803542552936e+08 -1.4251366772398931e+08 -1.4184600187427273e+08 -1.4109649629883713e+08 -1.4025658454627270e+08 -1.3932044997096482e+08 -1.3827130157984197e+08 -1.3711621226342672e+08 -1.3584831567178246e+08 -1.3447054678742746e+08 -1.3299371563811944e+08 -1.3143621918798724e+08 -1.2983307801581801e+08 -1.2823976854929999e+08 -1.2672505467110115e+08 -1.2541944349164858e+08 -1.2448104644547141e+08 -1.2414726033107662e+08 -1.2475187861726467e+08 -1.2679161589407332e+08 -1.3101852401914926e+08 -1.3862541384234509e+08 -1.5159102854866096e+08 2.6854708709048510e+08 +1.5408136045348415e+00 -2.1382142822666723e+08 -2.1375699711809656e+08 -2.1365157932028735e+08 -2.1351761251303869e+08 -2.1339007983529845e+08 -2.1332198886445478e+08 -2.1333639324784130e+08 -2.1339354295736292e+08 -2.1345374771979576e+08 -2.1350972120385996e+08 -2.1356697540009326e+08 -2.1362682809996530e+08 -2.1368906172932360e+08 -2.1375423374866256e+08 -2.1382344269819978e+08 -2.1389767473986527e+08 -2.1397821191505930e+08 -2.1406686762769762e+08 -2.1416582151785880e+08 -2.1427756027108294e+08 -2.1440493898056227e+08 -2.1455111906174123e+08 -2.1471893947286937e+08 -2.1491280009667876e+08 -2.1514635457050702e+08 -2.1542952808397678e+08 -2.1576394719698352e+08 -2.1615518849882627e+08 -2.1661248737512434e+08 -2.1714693451827255e+08 -2.1777130555126879e+08 -2.1850021142592436e+08 -2.1935028575035504e+08 -2.2034036568715936e+08 -2.2149166178310564e+08 -2.2282784677123904e+08 -2.2437508686248988e+08 -2.2616192138184184e+08 -2.2821897568420845e+08 -2.3057833419521454e+08 -2.3348754150818220e+08 -2.3682223473627505e+08 -2.4061643452816799e+08 -2.4489433121352044e+08 -2.4966330622417933e+08 -2.5490450009420338e+08 -2.6056069232945210e+08 -2.6652172378476045e+08 -2.7260901356541777e+08 -2.7856085405741298e+08 -2.8403268234124893e+08 -2.8858818703116268e+08 -2.9172861807242984e+08 -2.9298648879451686e+08 -2.9196154305367327e+08 -2.8842600653037786e+08 -2.8237421317845994e+08 -2.7404522723441428e+08 -2.6388658084256089e+08 -2.5246180723559844e+08 -2.4038128619119066e+08 -2.2819560189039880e+08 -2.1637325379004574e+08 -2.0524569773577583e+08 -1.9504709342010695e+08 -1.8591245372714329e+08 -1.7789009246648291e+08 -1.7099704001406795e+08 -1.6519670481263196e+08 -1.6042632676532543e+08 -1.5662247800336283e+08 -1.5367477071846741e+08 -1.5148069655821261e+08 -1.4991553104508346e+08 -1.4883949302489710e+08 -1.4813134228861046e+08 -1.4765831543891045e+08 -1.4731859911118585e+08 -1.4704991490665746e+08 -1.4687664171230304e+08 -1.4670713367154425e+08 -1.4653652303975943e+08 -1.4635870429976279e+08 -1.4617553109498462e+08 -1.4598536881952432e+08 -1.4577554594904405e+08 -1.4555504153512913e+08 -1.4531898343153599e+08 -1.4506300960069981e+08 -1.4478371343782002e+08 -1.4447695606697318e+08 -1.4413807426214316e+08 -1.4376417086057350e+08 -1.4333719920223540e+08 -1.4286770436766362e+08 -1.4234119618962342e+08 -1.4175001961648214e+08 -1.4108593758683121e+08 -1.4034045427886885e+08 -1.3950504913866299e+08 -1.3857396174381724e+08 -1.3753036687303528e+08 -1.3638147314818224e+08 -1.3512037651203728e+08 -1.3374999622313206e+08 -1.3228108436400318e+08 -1.3073193931147723e+08 -1.2913739399479055e+08 -1.2755265062600641e+08 -1.2604599057652821e+08 -1.2474738116040193e+08 -1.2381401807301174e+08 -1.2348204844498610e+08 -1.2408343274115197e+08 -1.2611223466596904e+08 -1.3031648785769643e+08 -1.3788264580324474e+08 -1.5077869094011888e+08 2.6945148677660054e+08 +1.5457819273090996e+00 -2.1462375617706206e+08 -2.1455937819978225e+08 -2.1445406347926638e+08 -2.1432022158254948e+08 -2.1419281285075977e+08 -2.1412479633975282e+08 -2.1413920486989313e+08 -2.1419632395644060e+08 -2.1425649661334744e+08 -2.1431244569688901e+08 -2.1436967856155029e+08 -2.1442951297078174e+08 -2.1449173258807814e+08 -2.1455689541935113e+08 -2.1462610048209572e+08 -2.1470033463335285e+08 -2.1478088060351753e+08 -2.1486955241433361e+08 -2.1496853030115792e+08 -2.1508030171967199e+08 -2.1520772264722770e+08 -2.1535395558147189e+08 -2.1552184203419197e+08 -2.1571578660165992e+08 -2.1594944167624670e+08 -2.1623272879019675e+08 -2.1656727639363411e+08 -2.1695866233918667e+08 -2.1741612138009703e+08 -2.1795074188276729e+08 -2.1857529499403942e+08 -2.1930438394926995e+08 -2.2015462994236201e+08 -2.2114485105083233e+08 -2.2229622935977337e+08 -2.2363239591957402e+08 -2.2517945703244230e+08 -2.2696586700465125e+08 -2.2902213206194058e+08 -2.3138017130843240e+08 -2.3428710954318383e+08 -2.3761827108994684e+08 -2.4140714499144515e+08 -2.4567720294838557e+08 -2.5043487225580391e+08 -2.5566005499455315e+08 -2.6129397013829491e+08 -2.6722456947771373e+08 -2.7327111156008589e+08 -2.7916961796707153e+08 -2.8457347929156065e+08 -2.8904494715619415e+08 -2.9208500996393120e+08 -2.9322779422924542e+08 -2.9207662068390477e+08 -2.8840908204611897e+08 -2.8222590991986054e+08 -2.7377248088821477e+08 -2.6350148609293243e+08 -2.5197968183887991e+08 -2.3981870692683867e+08 -2.2756861346780366e+08 -2.1569629535760507e+08 -2.0453092868629032e+08 -1.9430437017804205e+08 -1.8514948932000732e+08 -1.7711272092223531e+08 -1.7020965058892161e+08 -1.6440256076101148e+08 -1.5962779293927553e+08 -1.5582133024014398e+08 -1.5287226033931971e+08 -1.5067773667859328e+08 -1.4911273734154069e+08 -1.4803729310264421e+08 -1.4733004486954498e+08 -1.4685807139172265e+08 -1.4651947203262502e+08 -1.4625196891332057e+08 -1.4607957160282740e+08 -1.4591096176959613e+08 -1.4574127359216002e+08 -1.4556442331480360e+08 -1.4538224988895515e+08 -1.4519315260570785e+08 -1.4498439581617978e+08 -1.4476509466942379e+08 -1.4453032421554822e+08 -1.4427574608485788e+08 -1.4399797215414453e+08 -1.4369288600658727e+08 -1.4335584971677575e+08 -1.4298400809591192e+08 -1.4255928211486062e+08 -1.4209234168920085e+08 -1.4156869727910477e+08 -1.4098073536579117e+08 -1.4032026358607078e+08 -1.3957883221182942e+08 -1.3874796692521334e+08 -1.3782196385705176e+08 -1.3678396372617394e+08 -1.3564131129940876e+08 -1.3438706478604516e+08 -1.3302412760470939e+08 -1.3156319346508716e+08 -1.3002246142888100e+08 -1.2843657539126961e+08 -1.2686046124659806e+08 -1.2536191467962447e+08 -1.2407035868428741e+08 -1.2314206669026616e+08 -1.2281192686071949e+08 -1.2341005327897993e+08 -1.2542783916233756e+08 -1.2960927023470384e+08 -1.3713439558651295e+08 -1.4996035803104877e+08 2.7035281444776773e+08 +1.5507502500833577e+00 -2.1542251966763884e+08 -2.1535819667342806e+08 -2.1525298031152850e+08 -2.1511926783359692e+08 -2.1499198157224602e+08 -2.1492403929458407e+08 -2.1493845155768004e+08 -2.1499553939575306e+08 -2.1505567924873564e+08 -2.1511160308158228e+08 -2.1516881357816702e+08 -2.1522862847286159e+08 -2.1529083260126457e+08 -2.1535598446108323e+08 -2.1542518350359005e+08 -2.1549941724032807e+08 -2.1557996898078358e+08 -2.1566865330916622e+08 -2.1576765093707794e+08 -2.1587944997003093e+08 -2.1600690713188651e+08 -2.1615318582247028e+08 -2.1632112989049670e+08 -2.1651514826473898e+08 -2.1674889160121498e+08 -2.1703227748479447e+08 -2.1736693599761096e+08 -2.1775844582646188e+08 -2.1821604054159719e+08 -2.1875080552885762e+08 -2.1937550668932888e+08 -2.2010473863958126e+08 -2.2095510910019159e+08 -2.2194541582362732e+08 -2.2309681097854614e+08 -2.2443288223215345e+08 -2.2597967399012604e+08 -2.2776555322555989e+08 -2.2982090434749135e+08 -2.3217747804072756e+08 -2.3508196188231081e+08 -2.3840937241779962e+08 -2.4219266154173505e+08 -2.4645457638345543e+08 -2.5120058410555094e+08 -2.5640934293690422e+08 -2.6202050759893563e+08 -2.6792014043111295e+08 -2.7392534464259040e+08 -2.7976988462833267e+08 -2.8510512906855315e+08 -2.8949192950746953e+08 -2.9243106046956050e+08 -2.9345831405529761e+08 -2.9218063536106735e+08 -2.8838101444906676e+08 -2.8206658547938937e+08 -2.7348901478510445e+08 -2.6310610876824498e+08 -2.5148779325767496e+08 -2.3924691448470122e+08 -2.2693295095559537e+08 -2.1501116285617289e+08 -2.0380843096532658e+08 -1.9355430332645011e+08 -1.8437950676442614e+08 -1.7632860147685194e+08 -1.6941573419859827e+08 -1.6360206790796310e+08 -1.5882305175272039e+08 -1.5501408535172865e+08 -1.5206373696776614e+08 -1.4986882629304361e+08 -1.4830403809990579e+08 -1.4722921926727259e+08 -1.4652289546803966e+08 -1.4605199091579846e+08 -1.4571452035786521e+08 -1.4544820834356540e+08 -1.4527669364515552e+08 -1.4510898868871140e+08 -1.4494022971705902e+08 -1.4476435495338705e+08 -1.4458318857377794e+08 -1.4439516393351763e+08 -1.4418748123403120e+08 -1.4396939210000148e+08 -1.4373591865632647e+08 -1.4348274637377569e+08 -1.4320650574500501e+08 -1.4290310297662500e+08 -1.4256792562760019e+08 -1.4219816070208010e+08 -1.4177569699878716e+08 -1.4131132957276148e+08 -1.4079056977568111e+08 -1.4020584592424920e+08 -1.3954901067919183e+08 -1.3881166074195951e+08 -1.3798536836754745e+08 -1.3706448656828648e+08 -1.3603212217105961e+08 -1.3489575649759087e+08 -1.3364840999889284e+08 -1.3229297013782959e+08 -1.3084007182611062e+08 -1.2930781408659907e+08 -1.2773065040337195e+08 -1.2616322826188722e+08 -1.2467285450441644e+08 -1.2338840330366428e+08 -1.2246521933328596e+08 -1.2213692254123597e+08 -1.2273176732458207e+08 -1.2473845692012963e+08 -1.2889689960562238e+08 -1.3638069329870015e+08 -1.4913606274712941e+08 2.7125105552533764e+08 +1.5557185728576157e+00 -2.1621768287982473e+08 -2.1615341594301218e+08 -2.1604829659353384e+08 -2.1591471183581552e+08 -2.1578754972846481e+08 -2.1571968052892405e+08 -2.1573409658833557e+08 -2.1579115227729693e+08 -2.1585125883113998e+08 -2.1590715652469903e+08 -2.1596434360614461e+08 -2.1602413775070724e+08 -2.1608632489635345e+08 -2.1615146399528003e+08 -2.1622065487433755e+08 -2.1629488566020089e+08 -2.1637544013627568e+08 -2.1646413338740474e+08 -2.1656314648567158e+08 -2.1667496806401613e+08 -2.1680245545464209e+08 -2.1694877278026542e+08 -2.1711676600807992e+08 -2.1731084801730677e+08 -2.1754466723542446e+08 -2.1782813700821179e+08 -2.1816288879062542e+08 -2.1855450167394212e+08 -2.1901220749338958e+08 -2.1954708799791500e+08 -2.2017190307154056e+08 -2.2090123780758783e+08 -2.2175168539316580e+08 -2.2274202201187256e+08 -2.2389336846146131e+08 -2.2522926732234186e+08 -2.2677569911600038e+08 -2.2856094116807717e+08 -2.3061525338675210e+08 -2.3297021494302431e+08 -2.3587205875327668e+08 -2.3919549863650027e+08 -2.4297294383031708e+08 -2.4722641100007832e+08 -2.5196040125504258e+08 -2.5715232367813891e+08 -2.6274026516433847e+08 -2.6860839840250140e+08 -2.7457167671027517e+08 -2.8036162116137326e+08 -2.8562760332879782e+08 -2.8992911173522365e+08 -2.9276675466235185e+08 -2.9367804192864728e+08 -2.9227358995542860e+08 -2.8834181574190384e+08 -2.8189626016865814e+08 -2.7319485612906808e+08 -2.6270048123610955e+08 -2.5098617728722242e+08 -2.3866594657872322e+08 -2.2628865282690138e+08 -2.1431789472730762e+08 -2.0307824251041090e+08 -1.9279693006382412e+08 -1.8360254244628331e+08 -1.7553776972739759e+08 -1.6861532572747192e+08 -1.6279526052256644e+08 -1.5801213696293181e+08 -1.5420077668182802e+08 -1.5124923362192404e+08 -1.4905399817058590e+08 -1.4748946590471476e+08 -1.4641530396828508e+08 -1.4570992643454745e+08 -1.4524010628688571e+08 -1.4490377630280435e+08 -1.4463866535988256e+08 -1.4446803996500346e+08 -1.4430124651810321e+08 -1.4413342346633917e+08 -1.4395853122817904e+08 -1.4377837912191078e+08 -1.4359143473279172e+08 -1.4338483408872280e+08 -1.4316796566454926e+08 -1.4293579853966790e+08 -1.4268404219692355e+08 -1.4240934587889683e+08 -1.4210763857808238e+08 -1.4177433352140903e+08 -1.4140666012311363e+08 -1.4098647520636541e+08 -1.4052469926818791e+08 -1.4000684481404653e+08 -1.3942538229702830e+08 -1.3877220972586128e+08 -1.3803897056561247e+08 -1.3721728397911361e+08 -1.3630156018625438e+08 -1.3527487229019314e+08 -1.3414483857404347e+08 -1.3290444170573063e+08 -1.3155655307757971e+08 -1.3011174838064386e+08 -1.2858802587954649e+08 -1.2701964727668002e+08 -1.2546097957033217e+08 -1.2397883762155479e+08 -1.2270154230485247e+08 -1.2178350308417052e+08 -1.2145706249510793e+08 -1.2204860201799877e+08 -1.2404411552335384e+08 -1.2817940447400153e+08 -1.3562156909767652e+08 -1.4830583806945065e+08 2.7214619560729361e+08 +1.5606868956318738e+00 -2.1700921004721490e+08 -2.1694499584085569e+08 -2.1683997827862015e+08 -2.1670651922052816e+08 -2.1657948005234092e+08 -2.1651168366610694e+08 -2.1652610326063290e+08 -2.1658312589400715e+08 -2.1664319870944914e+08 -2.1669906936533031e+08 -2.1675623197324127e+08 -2.1681600412232825e+08 -2.1687817277141428e+08 -2.1694329731284857e+08 -2.1701247787636986e+08 -2.1708670316207182e+08 -2.1716725732936329e+08 -2.1725595589358544e+08 -2.1735498017666313e+08 -2.1746681921319011e+08 -2.1759433080586234e+08 -2.1774067962068135e+08 -2.1790871352430192e+08 -2.1810284896262112e+08 -2.1833673164142245e+08 -2.1862027037425089e+08 -2.1895509772896761e+08 -2.1934679277112266e+08 -2.1980458504742321e+08 -2.2033955201133880e+08 -2.2096444675714555e+08 -2.2169384394906497e+08 -2.2254432117774355e+08 -2.2353463181345508e+08 -2.2468586382525599e+08 -2.2602151300379506e+08 -2.2756749399698016e+08 -2.2935199216916597e+08 -2.3140514024610236e+08 -2.3375834279740900e+08 -2.3665736062746185e+08 -2.3997660992170590e+08 -2.4374795178624481e+08 -2.4799266657935402e+08 -2.5271428351148432e+08 -2.5788895733201826e+08 -2.6345320367877129e+08 -2.6928930557887864e+08 -2.7521007213085747e+08 -2.8094479519875860e+08 -2.8614087428004599e+08 -2.9035647206886256e+08 -2.9309207820980614e+08 -2.9388697209394163e+08 -2.9235548789685965e+08 -2.8829149843749231e+08 -2.8171495474183649e+08 -2.7289003249333245e+08 -2.6228463616074648e+08 -2.5047486995417666e+08 -2.3807584109987339e+08 -2.2563575769250968e+08 -2.1361652952128631e+08 -2.0234040134815606e+08 -1.9203228766490242e+08 -1.8281863281918088e+08 -1.7474026133330825e+08 -1.6780846011884189e+08 -1.6198217293105844e+08 -1.5719508238333577e+08 -1.5338143762911722e+08 -1.5042878337461022e+08 -1.4823328513486186e+08 -1.4666905339455566e+08 -1.4559557970897141e+08 -1.4489117017321658e+08 -1.4442244983448499e+08 -1.4408727213667965e+08 -1.4382337217812130e+08 -1.4365364274132872e+08 -1.4348776739983150e+08 -1.4332088694467518e+08 -1.4314698420494175e+08 -1.4296785355883059e+08 -1.4278199698642445e+08 -1.4257648631935760e+08 -1.4236084725371715e+08 -1.4212999570438159e+08 -1.4187966533692265e+08 -1.4160652427684167e+08 -1.4130652446451044e+08 -1.4097510497729149e+08 -1.4060953785517323e+08 -1.4019164814262420e+08 -1.3973248207722569e+08 -1.3921755358027512e+08 -1.3863937554054177e+08 -1.3798989163693979e+08 -1.3726079243013585e+08 -1.3644374432408032e+08 -1.3553321507023263e+08 -1.3451224421645766e+08 -1.3338858740951005e+08 -1.3215518951062776e+08 -1.3081490572797030e+08 -1.2937825211062510e+08 -1.2786312544966921e+08 -1.2630359430396114e+08 -1.2475374311643347e+08 -1.2327989164738803e+08 -1.2200980301960386e+08 -1.2109694507004997e+08 -1.2077237377587591e+08 -1.2136058454448439e+08 -1.2334484260177788e+08 -1.2745681339097418e+08 -1.3485705319115785e+08 -1.4746971703423393e+08 2.7303822046750861e+08 +1.5656552184061319e+00 -2.1779706480514669e+08 -2.1773290516906425e+08 -2.1762798407986346e+08 -2.1749465320761082e+08 -2.1736773615328893e+08 -2.1730001328679863e+08 -2.1731443491455254e+08 -2.1737142382807481e+08 -2.1743146237647578e+08 -2.1748730510541427e+08 -2.1754444217385694e+08 -2.1760419107609180e+08 -2.1766633969550434e+08 -2.1773144787566552e+08 -2.1780061596277949e+08 -2.1787483318569183e+08 -2.1795538398960254e+08 -2.1804408424297011e+08 -2.1814311541099122e+08 -2.1825496680079132e+08 -2.1838249654779547e+08 -2.1852886968238211e+08 -2.1869693574955928e+08 -2.1889111437769923e+08 -2.1912504805606785e+08 -2.1940864077197474e+08 -2.1974352594556156e+08 -2.2013528218516648e+08 -2.2059313619384471e+08 -2.2112816047086358e+08 -2.2175310054548892e+08 -2.2248251974468976e+08 -2.2333297899894717e+08 -2.2432320761800116e+08 -2.2547425928363192e+08 -2.2680958129116175e+08 -2.2835502042683175e+08 -2.3013866778036052e+08 -2.3219052621563479e+08 -2.3454182261905822e+08 -2.3743782822139019e+08 -2.4075266671047187e+08 -2.4451764561727169e+08 -2.4875330320368719e+08 -2.5346219100850287e+08 -2.5861920436857387e+08 -2.6415928437760031e+08 -2.6996282457653230e+08 -2.7584049574219763e+08 -2.8151937488631672e+08 -2.8664491467995417e+08 -2.9077398931713247e+08 -2.9340701737164927e+08 -2.9408509938108391e+08 -2.9242633317170858e+08 -2.8823007555330956e+08 -2.8152269039219791e+08 -2.7257457181503904e+08 -2.6185860649777058e+08 -2.4995390751206788e+08 -2.3747663611474469e+08 -2.2497430429824638e+08 -2.1290710589521226e+08 -2.0159494559227097e+08 -1.9126041347902229e+08 -1.8202781440248758e+08 -1.7393611201502773e+08 -1.6699517237435654e+08 -1.6116283951592168e+08 -1.5637192188201457e+08 -1.5255610164615726e+08 -1.4960241935223737e+08 -1.4740672006275871e+08 -1.4584283326118445e+08 -1.4477007904573828e+08 -1.4406665914070776e+08 -1.4359905394052839e+08 -1.4326504018125394e+08 -1.4300236106676346e+08 -1.4283353420591363e+08 -1.4266858352866867e+08 -1.4250265230941737e+08 -1.4232974600166985e+08 -1.4215164396221817e+08 -1.4196688272930023e+08 -1.4176246991702032e+08 -1.4154806880978754e+08 -1.4131854204079413e+08 -1.4106964762757173e+08 -1.4079807271135926e+08 -1.4049979234128162e+08 -1.4017027162591448e+08 -1.3980682544567329e+08 -1.3939124726361001e+08 -1.3893470935271549e+08 -1.3842272731131822e+08 -1.3784785676195854e+08 -1.3720208737346712e+08 -1.3647715713285786e+08 -1.3566478001630357e+08 -1.3475948162878677e+08 -1.3374426813119972e+08 -1.3262703293315597e+08 -1.3140068306625399e+08 -1.3006805744028555e+08 -1.2863961204499719e+08 -1.2713314148589934e+08 -1.2558251982387562e+08 -1.2404154689038032e+08 -1.2257604424337681e+08 -1.2131321282411407e+08 -1.2040557246215469e+08 -1.2008288348101181e+08 -1.2066774213303065e+08 -1.2264066583007881e+08 -1.2672915495412816e+08 -1.3408717583615838e+08 -1.4662773273133141e+08 2.7392711605500120e+08 +1.5706235411803899e+00 -2.1858120534332794e+08 -2.1851710300694603e+08 -2.1841228186857218e+08 -2.1827907658785421e+08 -2.1815228228440213e+08 -2.1808463210527965e+08 -2.1809905528990170e+08 -2.1815600989669329e+08 -2.1821601348111176e+08 -2.1827182740302315e+08 -2.1832893786858088e+08 -2.1838866226790187e+08 -2.1845078931008613e+08 -2.1851587931647637e+08 -2.1858503275916117e+08 -2.1865923934247106e+08 -2.1873978371905160e+08 -2.1882848202269581e+08 -2.1892751576184499e+08 -2.1903937438274518e+08 -2.1916691621544632e+08 -2.1931330647695678e+08 -2.1948139616834706e+08 -2.1967560771424428e+08 -2.1990957989161837e+08 -2.2019321156706014e+08 -2.2052813675061610e+08 -2.2091993316207206e+08 -2.2137782410426125e+08 -2.2191287646092948e+08 -2.2253782742043829e+08 -2.2326722806268531e+08 -2.2411762159190044e+08 -2.2510771200877741e+08 -2.2625851724815434e+08 -2.2759343440293896e+08 -2.2913824040898964e+08 -2.3092092976895368e+08 -2.3297137280940220e+08 -2.3532061565716594e+08 -2.3821342249960405e+08 -2.4152362970190254e+08 -2.4528198581259251e+08 -2.4950828125709558e+08 -2.5420408420820588e+08 -2.5934302561556920e+08 -2.6485846888866469e+08 -2.7062891844232196e+08 -2.7646291285418713e+08 -2.8208532887997085e+08 -2.8713969783472812e+08 -2.9118164286499965e+08 -2.9371155899693352e+08 -2.9427241920211577e+08 -2.9248613031830782e+08 -2.8815756060807776e+08 -2.8131948874699706e+08 -2.7224850239270502e+08 -2.6142242549188063e+08 -2.4942332644015834e+08 -2.3686836986215842e+08 -2.2430433152315000e+08 -2.1218966261115822e+08 -2.0084191344174930e+08 -1.9048134492801768e+08 -1.8123012378106731e+08 -1.7312535755329645e+08 -1.6617549755192465e+08 -1.6033729471445096e+08 -1.5554268938116372e+08 -1.5172480223884511e+08 -1.4877017473372748e+08 -1.4657433588321623e+08 -1.4501083824783209e+08 -1.4393883458646992e+08 -1.4323642584571636e+08 -1.4276995103839418e+08 -1.4243711280995506e+08 -1.4217566434534070e+08 -1.4200774664125541e+08 -1.4184372715058577e+08 -1.4167875176888719e+08 -1.4150684878766832e+08 -1.4132978246082535e+08 -1.4114612404719654e+08 -1.4094281692356291e+08 -1.4072966232634184e+08 -1.4050146949016240e+08 -1.4025402095381987e+08 -1.3998402300580198e+08 -1.3968747396361378e+08 -1.3935986514807558e+08 -1.3899855449254459e+08 -1.3858530407519335e+08 -1.3813141249706781e+08 -1.3762239729409721e+08 -1.3705085711793995e+08 -1.3640882794611606e+08 -1.3568809552015722e+08 -1.3488042171833307e+08 -1.3398039031889138e+08 -1.3297097426425004e+08 -1.3186020512214684e+08 -1.3064095207194404e+08 -1.2931603761277637e+08 -1.2789585725892350e+08 -1.2639810272269100e+08 -1.2485645222045778e+08 -1.2332441892679283e+08 -1.2186732311484487e+08 -1.2061179913828458e+08 -1.1970941247494589e+08 -1.1938861875118938e+08 -1.1997010205647054e+08 -1.2193161292695923e+08 -1.2599645780624019e+08 -1.3331196733782159e+08 -1.4577991830341730e+08 2.7481286849319220e+08 +1.5755918639546480e+00 -2.1936160263708374e+08 -2.1929755451189092e+08 -2.1919283217350453e+08 -2.1905975399834764e+08 -2.1893308204731071e+08 -2.1886550343746310e+08 -2.1887992839506474e+08 -2.1893684804705375e+08 -2.1899681583199647e+08 -2.1905260007836950e+08 -2.1910968288427246e+08 -2.1916938152022457e+08 -2.1923148542954722e+08 -2.1929655544103867e+08 -2.1936569206397966e+08 -2.1943988541689715e+08 -2.1952042029259333e+08 -2.1960911299376810e+08 -2.1970814497568151e+08 -2.1982000568908200e+08 -2.1994755351866451e+08 -2.2009395369144264e+08 -2.2026205844047731e+08 -2.2045629259985048e+08 -2.2069029073744458e+08 -2.2097394630290934e+08 -2.2130889363329053e+08 -2.2170070912817070e+08 -2.2215861213150507e+08 -2.2269366324943814e+08 -2.2331859055162686e+08 -2.2404793195933393e+08 -2.2489821188306853e+08 -2.2588810776442960e+08 -2.2703860032912016e+08 -2.2837303476124516e+08 -2.2991711615627518e+08 -2.3169874011977071e+08 -2.3374764176725873e+08 -2.3609468339686707e+08 -2.3898410467436978e+08 -2.4228945985892954e+08 -2.4604093314260939e+08 -2.5025756142797804e+08 -2.5493992390187696e+08 -2.6006038226018631e+08 -2.6555071923199269e+08 -2.7128755065385807e+08 -2.7707728924675173e+08 -2.8264262634862375e+08 -2.8762519759839332e+08 -2.9157941267221475e+08 -2.9400569052194113e+08 -2.9444892754870552e+08 -2.9253488442323720e+08 -2.8807396761737049e+08 -2.8110537186345226e+08 -2.7191185288084912e+08 -2.6097612667184561e+08 -2.4888316343792403e+08 -2.3625108075096923e+08 -2.2362587837704194e+08 -2.1146423853356296e+08 -2.0008134318003422e+08 -1.8969511950554246e+08 -1.8042559760326940e+08 -1.7230803378731322e+08 -1.6534947076575211e+08 -1.5950557301773492e+08 -1.5470741885539508e+08 -1.5088757296483818e+08 -1.4793208274929178e+08 -1.4573616557643577e+08 -1.4417310114933580e+08 -1.4310187898991749e+08 -1.4240050284725299e+08 -1.4193517361221898e+08 -1.4160352244627896e+08 -1.4134331438391185e+08 -1.4117631238046941e+08 -1.4101323056145474e+08 -1.4084921758151308e+08 -1.4067832478187692e+08 -1.4050230123326194e+08 -1.4031975307617557e+08 -1.4011755943098566e+08 -1.3990565984618819e+08 -1.3967881004354703e+08 -1.3943281725010961e+08 -1.3916440703265318e+08 -1.3886960113666335e+08 -1.3854391727393508e+08 -1.3818475664257622e+08 -1.3777385013266757e+08 -1.3732262296208641e+08 -1.3681659486385995e+08 -1.3624840781336480e+08 -1.3561014441338602e+08 -1.3489363848655048e+08 -1.3409070014031702e+08 -1.3319597164488457e+08 -1.3219239289248776e+08 -1.3108813399998634e+08 -1.2987602627372712e+08 -1.2855887568955623e+08 -1.2714701687281655e+08 -1.2565803793938348e+08 -1.2412541992157370e+08 -1.2260238730389753e+08 -1.2115375601035403e+08 -1.1990558942446125e+08 -1.1900849236519054e+08 -1.1868960676933713e+08 -1.1926769162985775e+08 -1.2121771165431453e+08 -1.2525875063498756e+08 -1.3253145804841737e+08 -1.4492630694453263e+08 2.7569546407916063e+08 +1.5805601867289061e+00 -2.2013821733896118e+08 -2.2007422386570969e+08 -2.1996960035291231e+08 -2.1983664976845902e+08 -2.1971009948782867e+08 -2.1964259154720789e+08 -2.1965701817467639e+08 -2.1971390229271778e+08 -2.1977383340773228e+08 -2.1982958712448701e+08 -2.1988664121793836e+08 -2.1994631282276419e+08 -2.2000839204258355e+08 -2.2007344022822767e+08 -2.2014255785021585e+08 -2.2021673536869612e+08 -2.2029725766033363e+08 -2.2038594109203973e+08 -2.2048496697494709e+08 -2.2059682462524408e+08 -2.2072437234302136e+08 -2.2087077518887544e+08 -2.2103888640285498e+08 -2.2123313284009472e+08 -2.2146714436124572e+08 -2.2175080870218271e+08 -2.2208576026332963e+08 -2.2247757369120446e+08 -2.2293546381168294e+08 -2.2347048428963965e+08 -2.2409535329604933e+08 -2.2482459468108824e+08 -2.2567471299204859e+08 -2.2666435785976860e+08 -2.2781447133798870e+08 -2.2914834499423459e+08 -2.3069161009416458e+08 -2.3247206103605315e+08 -2.3451929505634338e+08 -2.3686398756002080e+08 -2.3974983620793250e+08 -2.4305011840912512e+08 -2.4679444866140565e+08 -2.5100110470897609e+08 -2.5566967121106768e+08 -2.6077123584925830e+08 -2.6623599782218531e+08 -2.7193868512005287e+08 -2.7768359117228377e+08 -2.8319123697145396e+08 -2.8810138837126106e+08 -2.9196727927183610e+08 -2.9428939996633428e+08 -2.9461462098684514e+08 -2.9257260111756527e+08 -2.8797931108853561e+08 -2.8088036222438574e+08 -2.7156465228607547e+08 -2.6051974384736750e+08 -2.4833345542325985e+08 -2.3562480735700274e+08 -2.2293898399807739e+08 -2.1073087262844509e+08 -1.9931327317268935e+08 -1.8890177477505589e+08 -1.7961427257957482e+08 -1.7148417661389956e+08 -1.6451712718439487e+08 -1.5866770896973512e+08 -1.5386614433091363e+08 -1.5004444743278122e+08 -1.4708817667968550e+08 -1.4489224217260063e+08 -1.4332965480982620e+08 -1.4225924496445447e+08 -1.4155892275377807e+08 -1.4109475419547692e+08 -1.4076430156342134e+08 -1.4050534360180372e+08 -1.4033926380588999e+08 -1.4017712610646698e+08 -1.4001408205498648e+08 -1.3984420625274795e+08 -1.3966923250723889e+08 -1.3948780200066221e+08 -1.3928672957986358e+08 -1.3907609346147889e+08 -1.3885059574048865e+08 -1.3860606849931559e+08 -1.3833925671331519e+08 -1.3804620571379453e+08 -1.3772245978202087e+08 -1.3736546359075156e+08 -1.3695691703887931e+08 -1.3650837224706239e+08 -1.3600535140384927e+08 -1.3544054010097757e+08 -1.3480606788132936e+08 -1.3409381697334288e+08 -1.3329564603974584e+08 -1.3240625615749827e+08 -1.3140855433850048e+08 -1.3031084963603380e+08 -1.2910593546258269e+08 -1.2779660115930684e+08 -1.2639312005152336e+08 -1.2491297595890133e+08 -1.2338945139862247e+08 -1.2187548014283168e+08 -1.2043537072074665e+08 -1.1919461118697849e+08 -1.1830283943116753e+08 -1.1798587475956111e+08 -1.1856053820989475e+08 -1.2049898981642757e+08 -1.2451606217171925e+08 -1.3174567836633259e+08 -1.4406693189939612e+08 2.7657488928290200e+08 +1.5855285095031642e+00 -2.2091101368833381e+08 -2.2084707603525969e+08 -2.2074255154663163e+08 -2.2060972577754673e+08 -2.2048329753731823e+08 -2.2041586056619194e+08 -2.2043028863921484e+08 -2.2048713673881322e+08 -2.2054703038514274e+08 -2.2060275271332493e+08 -2.2065977704192632e+08 -2.2071942033609229e+08 -2.2078147331305641e+08 -2.2084649783200642e+08 -2.2091559426613081e+08 -2.2098975333323404e+08 -2.2107025994826227e+08 -2.2115893042984635e+08 -2.2125794585758692e+08 -2.2136979527320203e+08 -2.2149733675109383e+08 -2.2164373501002744e+08 -2.2181184407044640e+08 -2.2200609241882211e+08 -2.2224010471007413e+08 -2.2252376266799679e+08 -2.2285870049187994e+08 -2.2325049064224160e+08 -2.2370834286559153e+08 -2.2424330322072110e+08 -2.2486807919904891e+08 -2.2559717966504911e+08 -2.2644708823215979e+08 -2.2743642546736997e+08 -2.2858609328828225e+08 -2.2991932793680105e+08 -2.3146168486015096e+08 -2.3324085494180369e+08 -2.3528629487178400e+08 -2.3762849010713410e+08 -2.4051057881351539e+08 -2.4380556684701607e+08 -2.4754249370722264e+08 -2.5173887239924949e+08 -2.5639328758805767e+08 -2.6147554829103360e+08 -2.6691426746833232e+08 -2.7258228618201488e+08 -2.7828178535379559e+08 -2.8373113093832499e+08 -2.8856824510015738e+08 -2.9234522376769209e+08 -2.9456267593304747e+08 -2.9476949665541691e+08 -2.9259928657242340e+08 -2.8787360601786327e+08 -2.8064448273413908e+08 -2.7120692996405679e+08 -2.6005331110613355e+08 -2.4777423952918437e+08 -2.3498958842046449e+08 -2.2224368765077451e+08 -2.0998960396048048e+08 -1.9853774186556509e+08 -1.8810134836920038e+08 -1.7879618548166299e+08 -1.7065382198629001e+08 -1.6367850202960387e+08 -1.5782373716584679e+08 -1.5301889988451317e+08 -1.4919545930079296e+08 -1.4623848985509056e+08 -1.4404259875086677e+08 -1.4248053212214309e+08 -1.4141096526693586e+08 -1.4071171822257170e+08 -1.4024872536973962e+08 -1.3991948268274137e+08 -1.3966178446634454e+08 -1.3949663334775284e+08 -1.3933544617905703e+08 -1.3917337754496786e+08 -1.3900452551645187e+08 -1.3883060855838838e+08 -1.3865030305361575e+08 -1.3845035955886441e+08 -1.3824099531164047e+08 -1.3801685866829225e+08 -1.3777380673214591e+08 -1.3750860401636317e+08 -1.3721731959581056e+08 -1.3689552449804235e+08 -1.3654070707945716e+08 -1.3613453644417790e+08 -1.3568869189812577e+08 -1.3518869834376854e+08 -1.3462728527974176e+08 -1.3399662950212663e+08 -1.3328866196808906e+08 -1.3249529021909440e+08 -1.3161127445328680e+08 -1.3061948897034891e+08 -1.2952838214446449e+08 -1.2833070947403599e+08 -1.2702924355463260e+08 -1.2563419600297296e+08 -1.2416294564717282e+08 -1.2264857516520663e+08 -1.2114372560627769e+08 -1.1971219507802156e+08 -1.1847889197101052e+08 -1.1759248101200940e+08 -1.1727744998673077e+08 -1.1784866919402549e+08 -1.1977547525863925e+08 -1.2376842119035220e+08 -1.3095465873553303e+08 -1.4320182646196893e+08 2.7745113074658388e+08 +1.5904968322774222e+00 -2.2167995767901874e+08 -2.2161607432704896e+08 -2.2151164679538178e+08 -2.2137894807262760e+08 -2.2125264183843064e+08 -2.2118527586321005e+08 -2.2119970419325274e+08 -2.2125651565127474e+08 -2.2131637114772525e+08 -2.2137206119446200e+08 -2.2142905470751852e+08 -2.2148866839662358e+08 -2.2155069358124104e+08 -2.2161569258326378e+08 -2.2168476563579226e+08 -2.2175890362338117e+08 -2.2183939146022892e+08 -2.2192804529733393e+08 -2.2202704589970896e+08 -2.2213888189341468e+08 -2.2226641098420000e+08 -2.2241279737435734e+08 -2.2258089563724124e+08 -2.2277513550033385e+08 -2.2300913591191456e+08 -2.2329277228530565e+08 -2.2362767835313487e+08 -2.2401942395638990e+08 -2.2447721319950604e+08 -2.2501208386973718e+08 -2.2563673199596700e+08 -2.2636565054102123e+08 -2.2721530111231852e+08 -2.2820427395872793e+08 -2.2935342939649826e+08 -2.3068594663240519e+08 -2.3222730330703923e+08 -2.3400508448140872e+08 -2.3604860363907054e+08 -2.3838815323838344e+08 -2.4126629445683423e+08 -2.4455576693415082e+08 -2.4828502990424445e+08 -2.5247082610509172e+08 -2.5711073481910723e+08 -2.6217328185559800e+08 -2.6758549137489760e+08 -2.7321831861265761e+08 -2.7887183898563498e+08 -2.8426227894935453e+08 -2.8902574327549440e+08 -2.9271322783377016e+08 -2.9482550760257655e+08 -2.9491355226269943e+08 -2.9261494749569213e+08 -2.8775686788521516e+08 -2.8039775671391940e+08 -2.7083871561346978e+08 -2.5957686280893964e+08 -2.4720555310044697e+08 -2.3434546284348255e+08 -2.2154002872394630e+08 -2.0924047169217399e+08 -1.9775478778447047e+08 -1.8729387798744106e+08 -1.7797137314110452e+08 -1.6981700591251445e+08 -1.6283363057565472e+08 -1.5697369225211191e+08 -1.5216571964220434e+08 -1.4834064227618524e+08 -1.4538305565368494e+08 -1.4318726843835840e+08 -1.4162576602749780e+08 -1.4055707270223367e+08 -1.3985892195797640e+08 -1.3939711976440278e+08 -1.3906909837249812e+08 -1.3881266949238950e+08 -1.3864845348386794e+08 -1.3848822321966413e+08 -1.3832713645407981e+08 -1.3815931493643233e+08 -1.3798646170920894e+08 -1.3780728851442066e+08 -1.3760848160310817e+08 -1.3740039758315051e+08 -1.3717763096088469e+08 -1.3693606402560687e+08 -1.3667248095715031e+08 -1.3638297472978708e+08 -1.3606314329409480e+08 -1.3571051889691886e+08 -1.3530674004452595e+08 -1.3486361350763351e+08 -1.3436666715922853e+08 -1.3380867469435669e+08 -1.3318186047337258e+08 -1.3247820450319637e+08 -1.3168966352596547e+08 -1.3081105717277592e+08 -1.2982522720021212e+08 -1.2874076168298900e+08 -1.2755037818683818e+08 -1.2625683245131235e+08 -1.2487027397798072e+08 -1.2340797591212712e+08 -1.2190281977630331e+08 -1.2040715189819899e+08 -1.1898425695480493e+08 -1.1775845936176521e+08 -1.1687744448624168e+08 -1.1656435975529349e+08 -1.1713211201938169e+08 -1.1904719586710480e+08 -1.2301585650682212e+08 -1.3015842964388078e+08 -1.4233102397489840e+08 2.7832417528380477e+08 +1.5954651550516803e+00 -2.2244501026993573e+08 -2.2238118129000321e+08 -2.2227685403253511e+08 -2.2214428126999426e+08 -2.2201809740527871e+08 -2.2195080143013969e+08 -2.2196522924462634e+08 -2.2202200352670592e+08 -2.2208182026141691e+08 -2.2213747709126684e+08 -2.2219443874714133e+08 -2.2225402152034679e+08 -2.2231601736436588e+08 -2.2238098899082899e+08 -2.2245003646093479e+08 -2.2252415073047727e+08 -2.2260461667777637e+08 -2.2269325016352451e+08 -2.2279223155640456e+08 -2.2290404892548355e+08 -2.2303155946271986e+08 -2.2317792668212718e+08 -2.2334600547858936e+08 -2.2354022643026829e+08 -2.2377420227688378e+08 -2.2405780182244247e+08 -2.2439265806541926e+08 -2.2478433779405069e+08 -2.2524203890716279e+08 -2.2577679025264904e+08 -2.2640127561309871e+08 -2.2712997113257366e+08 -2.2797931533870286e+08 -2.2896786690633035e+08 -2.3011644308398893e+08 -2.3144816433427879e+08 -2.3298842850219706e+08 -2.3476471252298674e+08 -2.3680618401455846e+08 -2.3914293939486578e+08 -2.4201694535767370e+08 -2.4530068070137158e+08 -2.4902201916359749e+08 -2.5319692774103492e+08 -2.5782197502315468e+08 -2.6286439917547384e+08 -2.6824963314222801e+08 -2.7384674761861551e+08 -2.7945371973460174e+08 -2.8478465221382469e+08 -2.8947385893170834e+08 -2.9307127371058530e+08 -2.9507788473275936e+08 -2.9504678608094311e+08 -2.9261959112781632e+08 -2.8762911264985687e+08 -2.8014020789771432e+08 -2.7046003927441907e+08 -2.5909043358674231e+08 -2.4662743369018608e+08 -2.3369246968683758e+08 -2.2082804672788760e+08 -2.0848351508068725e+08 -1.9696444953184086e+08 -1.8647940139521271e+08 -1.7713987244759613e+08 -1.6897376445484641e+08 -1.6198254814779431e+08 -1.5611760892377311e+08 -1.5130663777848223e+08 -1.4748003011333114e+08 -1.4452190750093129e+08 -1.4232628440893877e+08 -1.4076538951295209e+08 -1.3969760012109357e+08 -1.3900056671100849e+08 -1.3853997005477303e+08 -1.3821318124773803e+08 -1.3795803124064568e+08 -1.3779475673765454e+08 -1.3763548971471533e+08 -1.3747539123104936e+08 -1.3730860692149058e+08 -1.3713682432821369e+08 -1.3695879070831326e+08 -1.3676112799377653e+08 -1.3655433250797579e+08 -1.3633294479792747e+08 -1.3609287250256851e+08 -1.3583091959617245e+08 -1.3554320310839114e+08 -1.3522534808750930e+08 -1.3487493087670314e+08 -1.3447355958108035e+08 -1.3403316871236467e+08 -1.3353928937030438e+08 -1.3298473973373781e+08 -1.3236179203694774e+08 -1.3166247565531367e+08 -1.3087879685184996e+08 -1.3000563500028232e+08 -1.2902579948323750e+08 -1.2794801845237808e+08 -1.2676497152232099e+08 -1.2547939746684285e+08 -1.2410138326863521e+08 -1.2264809570260166e+08 -1.2115221382783264e+08 -1.1966578726242882e+08 -1.1825158426316211e+08 -1.1703334098379160e+08 -1.1615775727145545e+08 -1.1584663140840019e+08 -1.1641089416204929e+08 -1.1831417956735601e+08 -1.2225839697773753e+08 -1.2935702162250887e+08 -1.4145455782799122e+08 2.7919400987885070e+08 +1.6004334778259384e+00 -2.2320614151521453e+08 -2.2314236688946399e+08 -2.2303813750927082e+08 -2.2290569196727586e+08 -2.2277962776245892e+08 -2.2271240228541282e+08 -2.2272682870910108e+08 -2.2278356514436930e+08 -2.2284334244756958e+08 -2.2289896510441974e+08 -2.2295589387209144e+08 -2.2301544440623555e+08 -2.2307740935868499e+08 -2.2314235174422160e+08 -2.2321137142273286e+08 -2.2328545932639855e+08 -2.2336590026277089e+08 -2.2345450967789310e+08 -2.2355346746290752e+08 -2.2366526098939481e+08 -2.2379274678901926e+08 -2.2393908751438934e+08 -2.2410713815153405e+08 -2.2430132973688275e+08 -2.2453526829894504e+08 -2.2481881573158032e+08 -2.2515360403251103e+08 -2.2554519650307456e+08 -2.2600278427053446e+08 -2.2653738657575685e+08 -2.2716167416952762e+08 -2.2789010545815572e+08 -2.2873909481505942e+08 -2.2972716808359125e+08 -2.3087509797810385e+08 -2.3220594450678748e+08 -2.3374502373130777e+08 -2.3551970215836227e+08 -2.3755899888710260e+08 -2.3989281126048049e+08 -2.4276249399034458e+08 -2.4604027044984239e+08 -2.4975342368482226e+08 -2.5391713953166538e+08 -2.5852697065406632e+08 -2.6354886324746871e+08 -2.6890665676805377e+08 -2.7446753883854449e+08 -2.8002739573778903e+08 -2.8529822245088267e+08 -2.8991256864489359e+08 -2.9341934420535791e+08 -2.9531979765499759e+08 -2.9516919694561082e+08 -2.9261322523724210e+08 -2.8749035674730057e+08 -2.7987186042885613e+08 -2.7007093132232106e+08 -2.5859405833722380e+08 -2.4603991905752254e+08 -2.3303064816861063e+08 -2.2010778129270464e+08 -2.0771877347746187e+08 -1.9616676578642550e+08 -1.8565795642236173e+08 -1.7630172034832373e+08 -1.6812413372775996e+08 -1.6112529012105495e+08 -1.5525552192451352e+08 -1.5044168851514709e+08 -1.4661365661369452e+08 -1.4365507886857173e+08 -1.4145967988275546e+08 -1.3989943561169633e+08 -1.3883258042009127e+08 -1.3813668527803200e+08 -1.3767730896168479e+08 -1.3735176396851307e+08 -1.3709790231716400e+08 -1.3693557567795968e+08 -1.3677727819577268e+08 -1.3661817436957037e+08 -1.3645243392610177e+08 -1.3628172882874835e+08 -1.3610484200555536e+08 -1.3590833105670062e+08 -1.3570283236278194e+08 -1.3548283240340507e+08 -1.3524426433005005e+08 -1.3498395203865907e+08 -1.3469803676843113e+08 -1.3438217083974054e+08 -1.3403397489629710e+08 -1.3363502683900930e+08 -1.3319738919307874e+08 -1.3270659654093553e+08 -1.3215551183064030e+08 -1.3153645547793506e+08 -1.3084150654406700e+08 -1.3006272113088885e+08 -1.2919503866262725e+08 -1.2822123631689334e+08 -1.2715018269506364e+08 -1.2597451944295147e+08 -1.2469696825976276e+08 -1.2332755320760451e+08 -1.2188333400767903e+08 -1.2039678595486154e+08 -1.1891965998182976e+08 -1.1751420495404910e+08 -1.1630356449948010e+08 -1.1543344682312830e+08 -1.1512429232709913e+08 -1.1568504313641872e+08 -1.1757645432359858e+08 -1.2149607149995601e+08 -1.2855046524523723e+08 -1.4057246145729393e+08 2.8006062168595374e+08 +1.6054018006001964e+00 -2.2396331048634309e+08 -2.2389958984383279e+08 -2.2379546258045438e+08 -2.2366314230170155e+08 -2.2353719768240085e+08 -2.2347004315086886e+08 -2.2348446760642555e+08 -2.2354116547538677e+08 -2.2360090258187258e+08 -2.2365649012411526e+08 -2.2371338497002456e+08 -2.2377290193795756e+08 -2.2383483444086897e+08 -2.2389974571421215e+08 -2.2396873538187757e+08 -2.2404279426430991e+08 -2.2412320705805850e+08 -2.2421178867191261e+08 -2.2431071843639687e+08 -2.2442248288724896e+08 -2.2454993774735376e+08 -2.2469624463516089e+08 -2.2486425839636248e+08 -2.2505841013236612e+08 -2.2529229865644947e+08 -2.2557577865124625e+08 -2.2591048084544766e+08 -2.2630196461885312e+08 -2.2675941376180491e+08 -2.2729383723698440e+08 -2.2791789197775990e+08 -2.2864601773270717e+08 -2.2949460364431870e+08 -2.3048214146731022e+08 -2.3162935791321832e+08 -2.3295925082626930e+08 -2.3449705249716705e+08 -2.3627001670465580e+08 -2.3830701137949648e+08 -2.4063773176230019e+08 -2.4350290308587271e+08 -2.4677449875186381e+08 -2.5047920595682111e+08 -2.5463142401219106e+08 -2.5922568450175411e+08 -2.6422663743324617e+08 -2.6955652664711136e+08 -2.7508065834587967e+08 -2.8059283560419542e+08 -2.8580296188812453e+08 -2.9034184953248632e+08 -2.9375742268817419e+08 -2.9555123727161795e+08 -2.9528078425022817e+08 -2.9259585811808378e+08 -2.8734061708381462e+08 -2.7959273885390711e+08 -2.6967142246535081e+08 -2.5808777222052670e+08 -2.4544304716391063e+08 -2.3236003766030940e+08 -2.1937927216619894e+08 -2.0694628632509813e+08 -1.9536177530126771e+08 -1.8482958096167165e+08 -1.7545695384620896e+08 -1.6726814989772442e+08 -1.6026189191959262e+08 -1.5438746604501545e+08 -1.4957090611965033e+08 -1.4574155562379760e+08 -1.4278260327299458e+08 -1.4058748812417868e+08 -1.3902793740152246e+08 -1.3796204654038039e+08 -1.3726731049934587e+08 -1.3680916925009516e+08 -1.3648487923890519e+08 -1.3623231537217337e+08 -1.3607094291751733e+08 -1.3591362123827016e+08 -1.3575551840718624e+08 -1.3559082844785750e+08 -1.3542120766773775e+08 -1.3524547481983042e+08 -1.3505012316127068e+08 -1.3484592946799049e+08 -1.3462732604519942e+08 -1.3439027171879986e+08 -1.3413161043285784e+08 -1.3384750778996356e+08 -1.3353364355545796e+08 -1.3318768287652613e+08 -1.3279117364633541e+08 -1.3235630667363183e+08 -1.3186862027754395e+08 -1.3132102246004105e+08 -1.3070588212370226e+08 -1.3001532833109711e+08 -1.2924146733916055e+08 -1.2837929892807810e+08 -1.2741156823989238e+08 -1.2634728469455220e+08 -1.2517905195215473e+08 -1.2390957452896212e+08 -1.2254881316723484e+08 -1.2111371985548742e+08 -1.1963656483142692e+08 -1.1816879837774953e+08 -1.1677214701590739e+08 -1.1556915760923536e+08 -1.1470454063390504e+08 -1.1439736992946023e+08 -1.1495458649384230e+08 -1.1683404813804251e+08 -1.2072890900915937e+08 -1.2773879112691508e+08 -1.3968476834414762e+08 2.8092399802854979e+08 +1.6103701233744545e+00 -2.2471648647639272e+08 -2.2465282104971078e+08 -2.2454879080703869e+08 -2.2441659661757085e+08 -2.2429077328580284e+08 -2.2422368874050036e+08 -2.2423811103630060e+08 -2.2429476961347291e+08 -2.2435446572364190e+08 -2.2441001723895454e+08 -2.2446687710644367e+08 -2.2452635918277478e+08 -2.2458825766816300e+08 -2.2465313595387343e+08 -2.2472209338144720e+08 -2.2479612057948080e+08 -2.2487650208865353e+08 -2.2496505215922102e+08 -2.2506394947661313e+08 -2.2517567960419485e+08 -2.2530309730516872e+08 -2.2544936299285665e+08 -2.2561733113781023e+08 -2.2581143251449889e+08 -2.2604525821392560e+08 -2.2632865540649319e+08 -2.2666325328309754e+08 -2.2705460686688167e+08 -2.2751189204298443e+08 -2.2804610682704979e+08 -2.2866989354556102e+08 -2.2939767236861855e+08 -2.3024580613088831e+08 -2.3123275123863983e+08 -2.3237918693297723e+08 -2.3370804718277138e+08 -2.3524447852311900e+08 -2.3701561970572421e+08 -2.3905018484915745e+08 -2.4137766407242182e+08 -2.4423813563285032e+08 -2.4750332845238262e+08 -2.5119932875911400e+08 -2.5533974402963552e+08 -2.5991807969288811e+08 -2.6489768545968646e+08 -2.7019920757274497e+08 -2.7568607264676726e+08 -2.8115000841436416e+08 -2.8629884326018417e+08 -2.9076167925163054e+08 -2.9408549309084690e+08 -2.9577219505320764e+08 -2.9538154794392979e+08 -2.9256749858435136e+08 -2.8717991103233635e+08 -2.7930286812035370e+08 -2.6926154373961025e+08 -2.5757161065725553e+08 -2.4483685617012304e+08 -2.3168067768489474e+08 -2.1864255921120197e+08 -2.0616609315639600e+08 -1.9454951690208271e+08 -1.8399431296768692e+08 -1.7460560999867019e+08 -1.6640584918136424e+08 -1.5939238901492068e+08 -1.5351347612190205e+08 -1.4869432490509307e+08 -1.4486376103470865e+08 -1.4190451427509826e+08 -1.3970974244158408e+08 -1.3815092800343633e+08 -1.3708603146625641e+08 -1.3639247525923699e+08 -1.3593558372813937e+08 -1.3561255980616969e+08 -1.3536130309837595e+08 -1.3520089111212426e+08 -1.3504455146049842e+08 -1.3488745592438343e+08 -1.3472382302787220e+08 -1.3455529334512326e+08 -1.3438072160788947e+08 -1.3418653671974318e+08 -1.3398365618648538e+08 -1.3376645803352143e+08 -1.3353092692199551e+08 -1.3327392696986710e+08 -1.3299164829557270e+08 -1.3267979828163727e+08 -1.3233608678011093e+08 -1.3194203187306851e+08 -1.3150995291924064e+08 -1.3102539222833289e+08 -1.3048130313845280e+08 -1.2987010334299795e+08 -1.2918397221919139e+08 -1.2841506649341227e+08 -1.2755844660551469e+08 -1.2659682583110712e+08 -1.2553935477398597e+08 -1.2437859909244467e+08 -1.2311724601207502e+08 -1.2176519255863035e+08 -1.2033928231263758e+08 -1.1887157916926199e+08 -1.1741323080863841e+08 -1.1602543847432603e+08 -1.1483014804941769e+08 -1.1397106623272170e+08 -1.1366589166968206e+08 -1.1421955182203282e+08 -1.1608698904956850e+08 -1.1995693847934784e+08 -1.2692202992276676e+08 -1.3879151201406217e+08 2.8178412639853764e+08 +1.6153384461487126e+00 -2.2546563188274252e+08 -2.2540202292076498e+08 -2.2529809124121204e+08 -2.2516602184669188e+08 -2.2504031862338024e+08 -2.2497330461006030e+08 -2.2498772418972594e+08 -2.2504434281616336e+08 -2.2510399714513689e+08 -2.2515951172874990e+08 -2.2521633552712715e+08 -2.2527578139151362e+08 -2.2533764428172022e+08 -2.2540248769993189e+08 -2.2547141064728022e+08 -2.2554540349158800e+08 -2.2562575056272966e+08 -2.2571426533814320e+08 -2.2581312576772356e+08 -2.2592481631023556e+08 -2.2605219061512798e+08 -2.2619840772070834e+08 -2.2636632148685184e+08 -2.2656036196706510e+08 -2.2679411202308705e+08 -2.2707741101067355e+08 -2.2741188631338319e+08 -2.2780308816250157e+08 -2.2826018396973366e+08 -2.2879416013043839e+08 -2.2941764357676437e+08 -2.3014503397736037e+08 -2.3099266678018159e+08 -2.3197896178411007e+08 -2.3312454928975168e+08 -2.3445229768161309e+08 -2.3598726575282648e+08 -2.3775647493366346e+08 -2.3978848289027819e+08 -2.4211257160972577e+08 -2.4496815487842983e+08 -2.4822672267070183e+08 -2.5191375516317818e+08 -2.5604206274418160e+08 -2.6060411969185823e+08 -2.6556197142032474e+08 -2.7083466473668760e+08 -2.7628374868281281e+08 -2.8169888372031885e+08 -2.8678583981020039e+08 -2.9117203599770451e+08 -2.9440353990520042e+08 -2.9598266303596938e+08 -2.9547148852777195e+08 -2.9252815596754557e+08 -2.8700825642979008e+08 -2.7900227357158422e+08 -2.6884132650591612e+08 -2.5704560932260102e+08 -2.4422138443342403e+08 -2.3099260791406986e+08 -2.1789768240404665e+08 -2.0537823359229600e+08 -1.9373002948565736e+08 -1.8315219045505852e+08 -1.7374772591664901e+08 -1.6553726784407109e+08 -1.5851681692510092e+08 -1.5263358703718996e+08 -1.4781197922799760e+08 -1.4398030678110141e+08 -1.4102084547838461e+08 -1.3882647618604213e+08 -1.3726844058113489e+08 -1.3620456822432205e+08 -1.3551221248364627e+08 -1.3505658524617708e+08 -1.3473483845982632e+08 -1.3448489823119530e+08 -1.3432545295939302e+08 -1.3417010152294336e+08 -1.3401401954341964e+08 -1.3385145024861819e+08 -1.3368401840267737e+08 -1.3351061486791557e+08 -1.3331760418591559e+08 -1.3311604492292990e+08 -1.3290026072008044e+08 -1.3266626223415302e+08 -1.3241093388173240e+08 -1.3213049044892019e+08 -1.3182066710635957e+08 -1.3147921861100639e+08 -1.3108763343018456e+08 -1.3065835973623537e+08 -1.3017694408224535e+08 -1.2963638542297459e+08 -1.2902915054489841e+08 -1.2834746945126839e+08 -1.2758354965043664e+08 -1.2673251254342791e+08 -1.2577703970886749e+08 -1.2472642329581231e+08 -1.2357319094533357e+08 -1.2232001248536777e+08 -1.2097672083075485e+08 -1.1956005048282158e+08 -1.1810185771715389e+08 -1.1665298566953085e+08 -1.1527410739080273e+08 -1.1408656359220704e+08 -1.1323305118375133e+08 -1.1292988503729077e+08 -1.1347996674426290e+08 -1.1533530513331202e+08 -1.1918018892159285e+08 -1.2610021232721063e+08 -1.3789272603531426e+08 2.8264099445553696e+08 +1.6203067689229707e+00 -2.2621071379871643e+08 -2.2614716000042549e+08 -2.2604332573591655e+08 -2.2591138449976915e+08 -2.2578580170668736e+08 -2.2571885541953579e+08 -2.2573327251368588e+08 -2.2578985056865665e+08 -2.2584946233233908e+08 -2.2590493905022585e+08 -2.2596172566420043e+08 -2.2602113399735278e+08 -2.2608295970608649e+08 -2.2614776637263644e+08 -2.2621665258981848e+08 -2.2629060840515003e+08 -2.2637091787289590e+08 -2.2645939359195900e+08 -2.2655821267917562e+08 -2.2666985836025763e+08 -2.2679718301609111e+08 -2.2694334413873312e+08 -2.2711119474108317e+08 -2.2730516376175618e+08 -2.2753882532425982e+08 -2.2782201066657236e+08 -2.2815634509516388e+08 -2.2854737361355978e+08 -2.2900425459003070e+08 -2.2953796212741604e+08 -2.3016110697295523e+08 -2.3088806737027457e+08 -2.3173515030181199e+08 -2.3272073769754127e+08 -2.3386540944799924e+08 -2.3519196664370680e+08 -2.3672537835219818e+08 -2.3849254638914588e+08 -2.4052186933407071e+08 -2.4284241803945765e+08 -2.4569292433022088e+08 -2.4894464480091611e+08 -2.5262244853348228e+08 -2.5673834363016129e+08 -2.6128376830176488e+08 -2.6621945977640685e+08 -2.7146286373038095e+08 -2.7687365382891524e+08 -2.8223943154444897e+08 -2.8726392528738803e+08 -2.9157289850411069e+08 -2.9471154818083304e+08 -2.9618263381943709e+08 -2.9555060705104911e+08 -2.9247784011192000e+08 -2.8682567157123768e+08 -2.7869098094263762e+08 -2.6841080244526109e+08 -2.5650980414517415e+08 -2.4359667050504243e+08 -2.3029586816624340e+08 -2.1714468183207509e+08 -2.0458274733945826e+08 -1.9290335201871642e+08 -1.8230325149705929e+08 -1.7288333876306280e+08 -1.6466244219947332e+08 -1.5763521121360633e+08 -1.5174783371597871e+08 -1.4692390348816505e+08 -1.4309122683943936e+08 -1.4013163052820376e+08 -1.3793772275006425e+08 -1.3638050833973053e+08 -1.3531768988268501e+08 -1.3462655513992932e+08 -1.3417220669561979e+08 -1.3385174803007793e+08 -1.3360313354649967e+08 -1.3344466119802897e+08 -1.3329030412693834e+08 -1.3313524192770936e+08 -1.3297374273354322e+08 -1.3280741542273644e+08 -1.3263518713915411e+08 -1.3244335805427593e+08 -1.3224312812219897e+08 -1.3202876649728955e+08 -1.3179630999036947e+08 -1.3154266344104899e+08 -1.3126406645403059e+08 -1.3095628215783919e+08 -1.3061711041288471e+08 -1.3022801026866303e+08 -1.2980155897078621e+08 -1.2932330756772365e+08 -1.2878630091012591e+08 -1.2818305517769939e+08 -1.2750585130923282e+08 -1.2674694790572502e+08 -1.2590152762883452e+08 -1.2495224052977735e+08 -1.2390852066024376e+08 -1.2276285762972161e+08 -1.2151790376207781e+08 -1.2018342746931823e+08 -1.1877605350639595e+08 -1.1732742925965029e+08 -1.1588809139100611e+08 -1.1451818186183031e+08 -1.1333843204480724e+08 -1.1249052308589394e+08 -1.1218937755614567e+08 -1.1273585891832593e+08 -1.1457902449945281e+08 -1.1839868938351169e+08 -1.2527336907372764e+08 -1.3698844401863194e+08 2.8349459002614886e+08 +1.6252750916972287e+00 -2.2695169861784101e+08 -2.2688820035600701e+08 -2.2678446504407799e+08 -2.2665264837709621e+08 -2.2652718598737079e+08 -2.2646030814653039e+08 -2.2647472163240919e+08 -2.2653125857723534e+08 -2.2659082695272034e+08 -2.2664626482972977e+08 -2.2670301313858429e+08 -2.2676238261696595e+08 -2.2682416955162901e+08 -2.2688893757699051e+08 -2.2695778480528697e+08 -2.2703170091099355e+08 -2.2711196959800267e+08 -2.2720040249036428e+08 -2.2729917576742005e+08 -2.2741077129675779e+08 -2.2753804003382456e+08 -2.2768413775454554e+08 -2.2785191638651597e+08 -2.2804580335914192e+08 -2.2827936354720539e+08 -2.2856241976765695e+08 -2.2889659497891989e+08 -2.2928742852080140e+08 -2.2974406914714217e+08 -2.3027747799494112e+08 -2.3090024883420429e+08 -2.3162673756030318e+08 -2.3247322160881150e+08 -2.3345804377985826e+08 -2.3460173208386368e+08 -2.3592701860767171e+08 -2.3745878071017432e+08 -2.3922379830371797e+08 -2.4125030825116110e+08 -2.4356716727639106e+08 -2.4641240775642365e+08 -2.4965705851332420e+08 -2.5332537252857912e+08 -2.5742855047653693e+08 -2.6195698966564205e+08 -2.6687011535621640e+08 -2.7208377054505885e+08 -2.7745575589556205e+08 -2.8277162238107425e+08 -2.8773307394688869e+08 -2.9196424603899932e+08 -2.9500950352278703e+08 -2.9637210056298327e+08 -2.9561890510834104e+08 -2.9241656137058133e+08 -2.8663217520598578e+08 -2.7836901635663009e+08 -2.6797000355543280e+08 -2.5596423130223259e+08 -2.4296275312609389e+08 -2.2959049840297669e+08 -2.1638359769146451e+08 -2.0377967418975031e+08 -1.9206952353553393e+08 -1.8144753422495890e+08 -1.7201248575138992e+08 -1.6378140860766283e+08 -1.5674760748815057e+08 -1.5085625112674147e+08 -1.4603013212696394e+08 -1.4219655522773474e+08 -1.3923690311094818e+08 -1.3704351556695175e+08 -1.3548716452475855e+08 -1.3442542954954877e+08 -1.3373553623554012e+08 -1.3328248100801854e+08 -1.3296332138754851e+08 -1.3271604186044359e+08 -1.3255854860669552e+08 -1.3240519201333794e+08 -1.3225115577998489e+08 -1.3209073314579174e+08 -1.3192551702746244e+08 -1.3175447100002663e+08 -1.3156383085881114e+08 -1.3136493826916717e+08 -1.3115200779677001e+08 -1.3092110256512935e+08 -1.3066914795979299e+08 -1.3039240855414984e+08 -1.3008667560349348e+08 -1.2974979426907204e+08 -1.2936319437840064e+08 -1.2893958250769961e+08 -1.2846451445206657e+08 -1.2793108123502877e+08 -1.2733184872802885e+08 -1.2665914911335187e+08 -1.2590529239293015e+08 -1.2506552278659141e+08 -1.2412245898759815e+08 -1.2308567730453984e+08 -1.2194762930140784e+08 -1.2071094969204356e+08 -1.1938534199585767e+08 -1.1798732055914032e+08 -1.1654832261660106e+08 -1.1511857643824770e+08 -1.1375769001848792e+08 -1.1258578124792488e+08 -1.1174350957148723e+08 -1.1144439678378119e+08 -1.1198725603561102e+08 -1.1381817529242958e+08 -1.1761246894796988e+08 -1.2444153093273364e+08 -1.3607869961542365e+08 2.8434490110321379e+08 +1.6302434144714868e+00 -2.2768855085250157e+08 -2.2762510624560308e+08 -2.2752147036675212e+08 -2.2738978050964206e+08 -2.2726443734282637e+08 -2.2719762802871698e+08 -2.2721203736083886e+08 -2.2726853270324180e+08 -2.2732805681926414e+08 -2.2738345487127674e+08 -2.2744016376090649e+08 -2.2749949305114418e+08 -2.2756123961494753e+08 -2.2762596710307401e+08 -2.2769477307706615e+08 -2.2776864678631175e+08 -2.2784887150373203e+08 -2.2793725779020166e+08 -2.2803598077624419e+08 -2.2814752084980080e+08 -2.2827472738300312e+08 -2.2842075426508418e+08 -2.2858845209883016e+08 -2.2878224641024816e+08 -2.2901569231308478e+08 -2.2929860389925879e+08 -2.2963260150825709e+08 -2.3002321837931994e+08 -2.3047959308013475e+08 -2.3101267310691732e+08 -2.3163503446089491e+08 -2.3236100976265454e+08 -2.3320684582039744e+08 -2.3419084504204187e+08 -2.3533348208762693e+08 -2.3665741833062741e+08 -2.3818743744102484e+08 -2.3995019514072686e+08 -2.4197376395152813e+08 -2.4428678348509800e+08 -2.4712656918859816e+08 -2.5036392775573048e+08 -2.5402249110176474e+08 -2.5811264738944572e+08 -2.6262374826721415e+08 -2.6751390335776243e+08 -2.7269735157265228e+08 -2.7803002312860519e+08 -2.8329542719483012e+08 -2.8819326054997116e+08 -2.9234605840618575e+08 -2.9529739209051347e+08 -2.9655105698380423e+08 -2.9567638483556741e+08 -2.9234433060260564e+08 -2.8642778653464717e+08 -2.7803640632024825e+08 -2.6751896214697373e+08 -2.5540892721622047e+08 -2.4231967122530755e+08 -2.2887653872755277e+08 -2.1561447028530878e+08 -2.0296905401731116e+08 -1.9122858313748690e+08 -1.8058507682546973e+08 -1.7113520414512983e+08 -1.6289420347447956e+08 -1.5585404139958403e+08 -1.4995887427927899e+08 -1.4513069962638399e+08 -1.4129632600412193e+08 -1.3833669695286715e+08 -1.3614388810934156e+08 -1.3458844242095914e+08 -1.3352782037249923e+08 -1.3283918881701687e+08 -1.3238744115380548e+08 -1.3206959144141562e+08 -1.3182365602789135e+08 -1.3166714800272641e+08 -1.3151479796209855e+08 -1.3136179384223735e+08 -1.3120245418738993e+08 -1.3103835587753798e+08 -1.3086849906793112e+08 -1.3067905517216228e+08 -1.3048150788689110e+08 -1.3027001708892047e+08 -1.3004067237111166e+08 -1.2979041978814472e+08 -1.2951554903074610e+08 -1.2921187964903373e+08 -1.2887730230034250e+08 -1.2849321778720175e+08 -1.2807246226978740e+08 -1.2760059654005741e+08 -1.2707075807034408e+08 -1.2647556272006227e+08 -1.2580739422068276e+08 -1.2505861428236626e+08 -1.2422452897809578e+08 -1.2328772581295969e+08 -1.2225792370242341e+08 -1.2112753615180740e+08 -1.1989918016028437e+08 -1.1858249396735014e+08 -1.1719388085140242e+08 -1.1576456664189638e+08 -1.1434446931021005e+08 -1.1299266002500024e+08 -1.1182863907570137e+08 -1.1099203830573206e+08 -1.1069497031036255e+08 -1.1123418582058723e+08 -1.1305278568990794e+08 -1.1682155673223314e+08 -1.2360472871116485e+08 -1.3516352651718453e+08 2.8519191584507275e+08 +1.6352117372457449e+00 -2.2842123628253379e+08 -2.2835784839041686e+08 -2.2825431067428213e+08 -2.2812274413261545e+08 -2.2799752204860783e+08 -2.2793078050225511e+08 -2.2794518565022469e+08 -2.2800163892211005e+08 -2.2806111789340290e+08 -2.2811647517455620e+08 -2.2817314353033784e+08 -2.2823243128852522e+08 -2.2829413588020572e+08 -2.2835882092823768e+08 -2.2842758337626338e+08 -2.2850141199708357e+08 -2.2858158954433948e+08 -2.2866992543737248e+08 -2.2876859363898242e+08 -2.2888007293917751e+08 -2.2900721096756098e+08 -2.2915315955662742e+08 -2.2932076774380758e+08 -2.2951445875705564e+08 -2.2974777743483347e+08 -2.3003052883977312e+08 -2.3036433042097056e+08 -2.3075470887963307e+08 -2.3121079202534395e+08 -2.3174351303692812e+08 -2.3236542935441476e+08 -2.3309084939664912e+08 -2.3393598826270959e+08 -2.3491910670515507e+08 -2.3606062456348372e+08 -2.3738313078942835e+08 -2.3891131338410994e+08 -2.4067170159557691e+08 -2.4269220098698547e+08 -2.4500123108051953e+08 -2.4783537292125216e+08 -2.5106521675468168e+08 -2.5471376850357851e+08 -2.5879059879114920e+08 -2.6328400893142468e+08 -2.6815078934797329e+08 -2.7330357360583371e+08 -2.7859642420781225e+08 -2.8381081742077875e+08 -2.8864446036160576e+08 -2.9271831594237632e+08 -2.9557520059408802e+08 -2.9671949735295212e+08 -2.9572304890749097e+08 -2.9226115916733074e+08 -2.8621252520336461e+08 -2.7769317771951669e+08 -2.6705771083911777e+08 -2.5484392855224690e+08 -2.4166746391607764e+08 -2.2815402938215083e+08 -2.1483734002166790e+08 -2.0215092677727127e+08 -1.9038056999029803e+08 -1.7971591754048026e+08 -1.7025153125580850e+08 -1.6200086324990025e+08 -1.5495454864047280e+08 -1.4905573822379136e+08 -1.4422564050829688e+08 -1.4039057326569921e+08 -1.3743104581859991e+08 -1.3523887388855782e+08 -1.3368437535157534e+08 -1.3262489553712918e+08 -1.3193754596928644e+08 -1.3148712014175512e+08 -1.3117059113910452e+08 -1.3092600894186975e+08 -1.3077049224132240e+08 -1.3061915479107778e+08 -1.3046718889404140e+08 -1.3030893859787564e+08 -1.3014596467155291e+08 -1.2997730399792191e+08 -1.2978906360465984e+08 -1.2959286953602381e+08 -1.2938282688129726e+08 -1.2915505185874148e+08 -1.2890651131373008e+08 -1.2863352020254433e+08 -1.2833192653711917e+08 -1.2799966666493219e+08 -1.2761811255986513e+08 -1.2720023021653043e+08 -1.2673158567336062e+08 -1.2620536312511593e+08 -1.2561422871410970e+08 -1.2495061802480209e+08 -1.2420694478032012e+08 -1.2337857720036222e+08 -1.2244807177146563e+08 -1.2142529036217856e+08 -1.2030260840728612e+08 -1.1908262508634895e+08 -1.1777491297444588e+08 -1.1639576362737224e+08 -1.1497619022280118e+08 -1.1356579853874308e+08 -1.1222312007808991e+08 -1.1106703343394268e+08 -1.1023613698573807e+08 -1.0994112575776277e+08 -1.1047667602947679e+08 -1.1228288390251619e+08 -1.1602598188739219e+08 -1.2276299325165376e+08 -1.3424295845417908e+08 2.8603562257482660e+08 +1.6401800600200029e+00 -2.2914972096600610e+08 -2.2908638790129927e+08 -2.2898294839300287e+08 -2.2885150979043525e+08 -2.2872640650926527e+08 -2.2865973248024440e+08 -2.2867413259853461e+08 -2.2873054332763374e+08 -2.2878997632605952e+08 -2.2884529194236019e+08 -2.2890191863418692e+08 -2.2896116350684869e+08 -2.2902282452027506e+08 -2.2908746521828479e+08 -2.2915618186333886e+08 -2.2922996269746685e+08 -2.2931008986336270e+08 -2.2939837156740531e+08 -2.2949698047934064e+08 -2.2960839367469120e+08 -2.2973545688296202e+08 -2.2988131970779324e+08 -2.3004882937987641e+08 -2.3024240643404281e+08 -2.3047558491879323e+08 -2.3075816056190038e+08 -2.3109174765013790e+08 -2.3148186590929040e+08 -2.3193763181706560e+08 -2.3246996355870810e+08 -2.3309139921832943e+08 -2.3381622208643788e+08 -2.3466061446945935e+08 -2.3564279420200256e+08 -2.3678312483228037e+08 -2.3810412118212387e+08 -2.3963037360624671e+08 -2.4138828259885588e+08 -2.4340558415119156e+08 -2.4571047473046604e+08 -2.4853878351363620e+08 -2.5176089001606998e+08 -2.5539916928107578e+08 -2.5946236942284477e+08 -2.6393773682611096e+08 -2.6878073926425368e+08 -2.7390240383892220e+08 -2.7915492824952084e+08 -2.8431776496544886e+08 -2.8908664915154213e+08 -2.9308099951616907e+08 -2.9584291629422730e+08 -2.9687741649417484e+08 -2.9575890053330374e+08 -2.9216705892189240e+08 -2.8598641130140412e+08 -2.7733935781614548e+08 -2.6658628255642590e+08 -2.5426927221395636e+08 -2.4100617049330655e+08 -2.2742301074467689e+08 -2.1405224741101158e+08 -2.0132533250406572e+08 -1.8952552332367760e+08 -1.7884009466488427e+08 -1.6936150444176540e+08 -1.6110142442726210e+08 -1.5404916494456002e+08 -1.4814687805027434e+08 -1.4331498933309409e+08 -1.3947933114765841e+08 -1.3651998351067224e+08 -1.3432850645316130e+08 -1.3277499667712335e+08 -1.3171668826631320e+08 -1.3103064081388046e+08 -1.3058155101736403e+08 -1.3026635346501721e+08 -1.3002313353198518e+08 -1.2986861421483749e+08 -1.2971829535469073e+08 -1.2956737375157176e+08 -1.2941021915353559e+08 -1.2924837614468117e+08 -1.2908091848124877e+08 -1.2889388880295344e+08 -1.2869905581389505e+08 -1.2849046971809858e+08 -1.2826427351447476e+08 -1.2801745496026915e+08 -1.2774635442458302e+08 -1.2744684854651806e+08 -1.2711691955687025e+08 -1.2673791079702638e+08 -1.2632291834329446e+08 -1.2585751372923446e+08 -1.2533492814405619e+08 -1.2474787830587406e+08 -1.2408885195441709e+08 -1.2335031512828298e+08 -1.2252769848542410e+08 -1.2160352766338690e+08 -1.2058780782682103e+08 -1.1947287632797153e+08 -1.1826131442334288e+08 -1.1696262864118901e+08 -1.1559299816377409e+08 -1.1418322227883179e+08 -1.1278259268765365e+08 -1.1144909840598448e+08 -1.1030099226012674e+08 -1.0947583333961393e+08 -1.0918289077898361e+08 -1.0971475444977853e+08 -1.1150849817202997e+08 -1.1522577359717160e+08 -1.2191635543140230e+08 -1.3331702919426948e+08 2.8687600977959776e+08 +1.6451483827942610e+00 -2.2987397122085375e+08 -2.2981069438054812e+08 -2.2970735517475390e+08 -2.2957604181244189e+08 -2.2945105792412063e+08 -2.2938445088671294e+08 -2.2939884482244438e+08 -2.2945521224255940e+08 -2.2951459849025932e+08 -2.2956987157391319e+08 -2.2962645544956338e+08 -2.2968565607565469e+08 -2.2974727189869803e+08 -2.2981186632939422e+08 -2.2988053488872534e+08 -2.2995426523238873e+08 -2.3003433879532230e+08 -2.3012256250663266e+08 -2.3022110761203519e+08 -2.3033244935855660e+08 -2.3045943141592637e+08 -2.3060520098898405e+08 -2.3077260325782740e+08 -2.3096605566973779e+08 -2.3119908096579710e+08 -2.3148146523365319e+08 -2.3181481932565331e+08 -2.3220465555358481e+08 -2.3266007848935634e+08 -2.3319199064715406e+08 -2.3381290996011394e+08 -2.3453709366223037e+08 -2.3538069018392837e+08 -2.3636187317833471e+08 -2.3750094843158549e+08 -2.3882035492873707e+08 -2.4034458340206134e+08 -2.4209990331507283e+08 -2.4411387848171046e+08 -2.4641447935602713e+08 -2.4923676579113686e+08 -2.5245091232675985e+08 -2.5607865828015101e+08 -2.6012792434425804e+08 -2.6458489746186629e+08 -2.6940371941541380e+08 -2.7449380986823708e+08 -2.7970550480537325e+08 -2.8481624220421028e+08 -2.8951980319149011e+08 -2.9343409052651364e+08 -2.9610052699833715e+08 -2.9702480977947396e+08 -2.9578394345399266e+08 -2.9206204221786129e+08 -2.8574946535533530e+08 -2.7697497424304295e+08 -2.6610471052486956e+08 -2.5368499534009138e+08 -2.4033583043081084e+08 -2.2668352332764530e+08 -2.1325923306475317e+08 -2.0049231130939990e+08 -1.8866348242882937e+08 -1.7795764654548275e+08 -1.6846516110713255e+08 -1.6019592354159313e+08 -1.5313792608474788e+08 -1.4723232888659203e+08 -1.4239878069854209e+08 -1.3856263382220942e+08 -1.3560354386815673e+08 -1.3341281938833366e+08 -1.3186033979412322e+08 -1.3080323181903934e+08 -1.3011850650884719e+08 -1.2967076686214821e+08 -1.2935691143918419e+08 -1.2911506276365311e+08 -1.2896154685096653e+08 -1.2881225254319426e+08 -1.2866238126686166e+08 -1.2850632866655958e+08 -1.2834562306754220e+08 -1.2817937524532519e+08 -1.2799356344941957e+08 -1.2780009935302262e+08 -1.2759297817879952e+08 -1.2736836986037450e+08 -1.2712328318698283e+08 -1.2685408408688848e+08 -1.2655667799150230e+08 -1.2622909320546027e+08 -1.2585264463437973e+08 -1.2544055868030591e+08 -1.2497841261953887e+08 -1.2445948490636489e+08 -1.2387654312554108e+08 -1.2322212747222707e+08 -1.2248875660161139e+08 -1.2167192389886530e+08 -1.2075412432257187e+08 -1.1974550667217331e+08 -1.1863837020702308e+08 -1.1743527815708050e+08 -1.1614567062376562e+08 -1.1478561376946701e+08 -1.1338569176117939e+08 -1.1199488035181901e+08 -1.1067062326787698e+08 -1.0953054352197419e+08 -1.0871115512569498e+08 -1.0842029305708018e+08 -1.0894844889922434e+08 -1.1072965677103165e+08 -1.1442096107684380e+08 -1.2106484616112794e+08 -1.3238577254255776e+08 2.8771306610979056e+08 +1.6501167055685191e+00 -2.3059395502790114e+08 -2.3053073418696943e+08 -2.3042749283098102e+08 -2.3029630564623091e+08 -2.3017144171856940e+08 -2.3010490129257932e+08 -2.3011928916824436e+08 -2.3017561225228620e+08 -2.3023495097262439e+08 -2.3029018065093088e+08 -2.3034672054463691e+08 -2.3040587555698955e+08 -2.3046744457060769e+08 -2.3053199080944747e+08 -2.3060060899474770e+08 -2.3067428613747230e+08 -2.3075430286696628e+08 -2.3084246477309540e+08 -2.3094094154465273e+08 -2.3105220648493323e+08 -2.3117910104746738e+08 -2.3132476986465976e+08 -2.3149205582302019e+08 -2.3168537288724452e+08 -2.3191823197259450e+08 -2.3220040921980551e+08 -2.3253351177478340e+08 -2.3292304409672865e+08 -2.3337809827688864e+08 -2.3390956047962174e+08 -2.3452992769185281e+08 -2.3525343016168192e+08 -2.3609618135989702e+08 -2.3707630949393016e+08 -2.3821406111758879e+08 -2.3953179767301878e+08 -2.4105390829553771e+08 -2.4280652914617449e+08 -2.4481704926034528e+08 -2.4711321013273767e+08 -2.4992928484601349e+08 -2.5313524875542817e+08 -2.5675220064578840e+08 -2.6078722893591177e+08 -2.6522545669404504e+08 -2.7001969648112643e+08 -2.7507775969239885e+08 -2.8024812386220056e+08 -2.8530622198311096e+08 -2.8994389925671625e+08 -2.9377757090143436e+08 -2.9634802105953264e+08 -2.9716167312826025e+08 -2.9579818193766081e+08 -2.9194612189506590e+08 -2.8550170832633287e+08 -2.7660005500077707e+08 -2.6561302826750985e+08 -2.5309113530154562e+08 -2.3965648337839699e+08 -2.2593560777432168e+08 -2.1245833769289789e+08 -1.9965190338062009e+08 -1.8779448665733758e+08 -1.7706861158004019e+08 -1.6756253870112944e+08 -1.5928439716909948e+08 -1.5222086787336653e+08 -1.4631212589828777e+08 -1.4147704923882863e+08 -1.3764051549724281e+08 -1.3468176076590300e+08 -1.3249184631433640e+08 -1.3094043813455164e+08 -1.2988455948930013e+08 -1.2920117624689443e+08 -1.2875480079265910e+08 -1.2844229811681370e+08 -1.2820182963744983e+08 -1.2804932311253193e+08 -1.2790105928167760e+08 -1.2775224432658897e+08 -1.2759729998352352e+08 -1.2743773824559674e+08 -1.2727270705183020e+08 -1.2708812026087220e+08 -1.2689603282066032e+08 -1.2669038487746029e+08 -1.2646737345264719e+08 -1.2622402848734616e+08 -1.2595674161401679e+08 -1.2566144721991277e+08 -1.2533621987385128e+08 -1.2496234624148959e+08 -1.2455318329153635e+08 -1.2409431428993919e+08 -1.2357906522477110e+08 -1.2300025483665217e+08 -1.2235047607423337e+08 -1.2162230050860307e+08 -1.2081128453914900e+08 -1.1989989261540243e+08 -1.1889841750687532e+08 -1.1779912036961988e+08 -1.1660454630488549e+08 -1.1532406860967413e+08 -1.1397363978409654e+08 -1.1258362765133600e+08 -1.1120269015648310e+08 -1.0988772295265301e+08 -1.0875571521673980e+08 -1.0794213013171005e+08 -1.0765336030426511e+08 -1.0817778722468644e+08 -1.0994638800237368e+08 -1.1361157357280803e+08 -1.2020849638432297e+08 -1.3144922233936176e+08 2.8854678037835264e+08 +1.6550850283427772e+00 -2.3130963767479864e+08 -2.3124647103133655e+08 -2.3114333118089586e+08 -2.3101226803372714e+08 -2.3088752414814353e+08 -2.3082105083921230e+08 -2.3083543229061151e+08 -2.3089171011154479e+08 -2.3095100055732822e+08 -2.3100618593083295e+08 -2.3106268067986342e+08 -2.3112178870564607e+08 -2.3118330928378761e+08 -2.3124780540023273e+08 -2.3131637091597795e+08 -2.3138999214039144e+08 -2.3146994879782391e+08 -2.3155804507828444e+08 -2.3165644897823173e+08 -2.3176763174269283e+08 -2.3189443245200756e+08 -2.3203999299369869e+08 -2.3220715371621928e+08 -2.3240032470570862e+08 -2.3263300453244370e+08 -2.3291495908288601e+08 -2.3324779152395257e+08 -2.3363699802346241e+08 -2.3409165761592370e+08 -2.3462263943721005e+08 -2.3524241873116329e+08 -2.3596519783091620e+08 -2.3680705416238150e+08 -2.3778606922353095e+08 -2.3892242886559397e+08 -2.4023841528241229e+08 -2.4175831404144508e+08 -2.4350812573113576e+08 -2.4551506201524970e+08 -2.4780663249141946e+08 -2.5061630603889883e+08 -2.5381386465388444e+08 -2.5741976182389387e+08 -2.6144024889870396e+08 -2.6585938072196785e+08 -2.7062863751412100e+08 -2.7565422171298510e+08 -2.8078275584337622e+08 -2.8578767761740339e+08 -2.9035891462253487e+08 -2.9411142309689611e+08 -2.9658538737415427e+08 -2.9728800300222975e+08 -2.9580162077842230e+08 -2.9181931127963054e+08 -2.8524316160555553e+08 -2.7621462845332134e+08 -2.6511126960185596e+08 -2.5248772969801924e+08 -2.3896816915830526e+08 -2.2517930485778961e+08 -2.1164960210150680e+08 -1.9880414897929478e+08 -1.8691857542005092e+08 -1.7617302821522641e+08 -1.6665367471531004e+08 -1.5836688192514902e+08 -1.5129802615934265e+08 -1.4538630428665543e+08 -1.4054982962347227e+08 -1.3671301041585651e+08 -1.3375466811300269e+08 -1.3156562088595879e+08 -1.3001532516442716e+08 -1.2896070460527478e+08 -1.2827868325487138e+08 -1.2783368595921479e+08 -1.2752254658668444e+08 -1.2728346718744424e+08 -1.2713197599586882e+08 -1.2698474852882263e+08 -1.2683699585144666e+08 -1.2668316598478633e+08 -1.2652475451793958e+08 -1.2636094669585478e+08 -1.2617759198766716e+08 -1.2598688891726889e+08 -1.2578272246129929e+08 -1.2556131688099714e+08 -1.2531972338796154e+08 -1.2505435946353109e+08 -1.2476118861312151e+08 -1.2443833185834520e+08 -1.2406704782097214e+08 -1.2366082427385688e+08 -1.2320525071907960e+08 -1.2269370094489121e+08 -1.2211904513538656e+08 -1.2147392928894655e+08 -1.2075097818983293e+08 -1.1994581153663656e+08 -1.1904086343986557e+08 -1.1804657097026484e+08 -1.1695515717186779e+08 -1.1576914891491258e+08 -1.1449785231693554e+08 -1.1315710557744075e+08 -1.1177705896085043e+08 -1.1040605075601310e+08 -1.0910042577813223e+08 -1.0797653537050514e+08 -1.0716878617362931e+08 -1.0688212026127645e+08 -1.0740279730196652e+08 -1.0915872019735882e+08 -1.1279764036118850e+08 -1.1934733707597275e+08 -1.3050741245990647e+08 2.8937714156003773e+08 +1.6600533511170352e+00 -2.3202098773154202e+08 -2.3195787663876161e+08 -2.3185483457227290e+08 -2.3172389759706771e+08 -2.3159927257484540e+08 -2.3153286598052248e+08 -2.3154724094187531e+08 -2.3160347274621096e+08 -2.3166271421967211e+08 -2.3171785435264719e+08 -2.3177430280711690e+08 -2.3183336246892244e+08 -2.3189483298072061e+08 -2.3195927703719991e+08 -2.3202778758129051e+08 -2.3210135016241297e+08 -2.3218124350276202e+08 -2.3226927032773799e+08 -2.3236759680901340e+08 -2.3247869201525205e+08 -2.3260539250014094e+08 -2.3275083723149273e+08 -2.3291786377417278e+08 -2.3311087794141528e+08 -2.3334336543625078e+08 -2.3362508158399603e+08 -2.3395762529968753e+08 -2.3434648401956770e+08 -2.3480072314598680e+08 -2.3533119410596487e+08 -2.3595034960320050e+08 -2.3667236312553754e+08 -2.3751327496918926e+08 -2.3849111865834925e+08 -2.3962601787189627e+08 -2.4094017385103324e+08 -2.4245776662573847e+08 -2.4420465894783393e+08 -2.4620788252116570e+08 -2.4849471212004632e+08 -2.5129779499919984e+08 -2.5448672565720975e+08 -2.5808130756143713e+08 -2.6208695025562105e+08 -2.6648663609198737e+08 -2.7123050993922991e+08 -2.7622316473456174e+08 -2.8130937160721320e+08 -2.8626058289181155e+08 -2.9076482706616390e+08 -2.9443563009461135e+08 -2.9681261537956101e+08 -2.9740379640388608e+08 -2.9579426529007703e+08 -2.9168162418034685e+08 -2.8497384700977230e+08 -2.7581872332378703e+08 -2.6459946863543579e+08 -2.5187481635465246e+08 -2.3827092776360765e+08 -2.2441465547691941e+08 -2.1083306719214684e+08 -1.9794908843878686e+08 -1.8603578818509305e+08 -1.7527093494601655e+08 -1.6573860668418097e+08 -1.5744341446412677e+08 -1.5036943682832435e+08 -1.4445489928837204e+08 -1.3961715655646804e+08 -1.3578015285467249e+08 -1.3282229985223912e+08 -1.3063417679135175e+08 -1.2908503438297305e+08 -1.2803170052815185e+08 -1.2735106079253386e+08 -1.2690745554519793e+08 -1.2659768997063148e+08 -1.2636000848068732e+08 -1.2620953853030638e+08 -1.2606335327612320e+08 -1.2591666879418565e+08 -1.2576395958329858e+08 -1.2560670475607920e+08 -1.2544412700526114e+08 -1.2526201141261011e+08 -1.2507270037610796e+08 -1.2487002361024879e+08 -1.2465023276749110e+08 -1.2441040044799754e+08 -1.2414697012514047e+08 -1.2385593458462624e+08 -1.2353546148723283e+08 -1.2316678160719566e+08 -1.2276351375620456e+08 -1.2231125391671127e+08 -1.2180342394352747e+08 -1.2123294574902740e+08 -1.2059251867594394e+08 -1.1987482101676182e+08 -1.1907553605264518e+08 -1.1817706772466682e+08 -1.1718999773287506e+08 -1.1610651100003602e+08 -1.1492911606506592e+08 -1.1366705149288329e+08 -1.1233604054839945e+08 -1.1096601472977832e+08 -1.0960499083320639e+08 -1.0830876009040841e+08 -1.0719303203692150e+08 -1.0639115109529030e+08 -1.0610660069630110e+08 -1.0662350703424150e+08 -1.0836668171583223e+08 -1.1197919074739820e+08 -1.1848139924203713e+08 -1.2956037681313887e+08 2.9020413879066712e+08 +1.6650216738912933e+00 -2.3272797035726559e+08 -2.3266491553775808e+08 -2.3256197261875594e+08 -2.3243116112133414e+08 -2.3230665546369848e+08 -2.3224031500624105e+08 -2.3225468215999243e+08 -2.3231086734595147e+08 -2.3237005912640765e+08 -2.3242515304975447e+08 -2.3248155406900927e+08 -2.3254056398735201e+08 -2.3260198279802090e+08 -2.3266637285168597e+08 -2.3273482611448345e+08 -2.3280832731950390e+08 -2.3288815409153572e+08 -2.3297610762253067e+08 -2.3307435212861106e+08 -2.3318535438297492e+08 -2.3331194825892040e+08 -2.3345726962963688e+08 -2.3362415303179860e+08 -2.3381699960907596e+08 -2.3404928167478725e+08 -2.3433074368445060e+08 -2.3466298002940688e+08 -2.3505146897358897e+08 -2.3550526171042430e+08 -2.3603519127771658e+08 -2.3665368704096726e+08 -2.3737489271190241e+08 -2.3821481037178984e+08 -2.3919142430682981e+08 -2.4032479455401462e+08 -2.4163703969909775e+08 -2.4315223226725090e+08 -2.4489609491339540e+08 -2.4689547680089834e+08 -2.4917741496412444e+08 -2.5197371762646240e+08 -2.5515379768622324e+08 -2.5873680390734071e+08 -2.6272729935252205e+08 -2.6710718969553730e+08 -2.7182528155537266e+08 -2.7678455796507978e+08 -2.8182794244852930e+08 -2.8672491205949366e+08 -2.9116161486369014e+08 -2.9475017540097207e+08 -2.9702969505198735e+08 -2.9750905087411618e+08 -2.9577612130494004e+08 -2.9153307488284284e+08 -2.8469378677766913e+08 -2.7541236869085568e+08 -2.6407765976164883e+08 -2.5125243331843162e+08 -2.3756479935422361e+08 -2.2364170065537855e+08 -2.1000877395816764e+08 -1.9708676216327065e+08 -1.8514616447627223e+08 -1.7436237031344372e+08 -1.6481737218230122e+08 -1.5651403147718808e+08 -1.4943513580127057e+08 -1.4351794617391986e+08 -1.3867906477490669e+08 -1.3484197712325844e+08 -1.3188468995880182e+08 -1.2969754775065833e+08 -1.2814959932160613e+08 -1.2709758065106842e+08 -1.2641834215156442e+08 -1.2597614276572323e+08 -1.2566776142222257e+08 -1.2543148661584829e+08 -1.2528204377683045e+08 -1.2513690654674496e+08 -1.2499129613976802e+08 -1.2483971372367619e+08 -1.2468362186309826e+08 -1.2452228083937524e+08 -1.2434141135011032e+08 -1.2415349996156226e+08 -1.2395232103534439e+08 -1.2373415376536685e+08 -1.2349609225755413e+08 -1.2323460612001333e+08 -1.2294571757891735e+08 -1.2262764111999887e+08 -1.2226157986579567e+08 -1.2186128389791518e+08 -1.2141235592393446e+08 -1.2090826612832604e+08 -1.2034198843553354e+08 -1.1970627582513045e+08 -1.1899386039121693e+08 -1.1820048927813831e+08 -1.1730853642806639e+08 -1.1632872849384862e+08 -1.1525321226981083e+08 -1.1408447786225255e+08 -1.1283169591367863e+08 -1.1151047412399146e+08 -1.1015052402610984e+08 -1.0879953909866951e+08 -1.0751275426266453e+08 -1.0640523329683004e+08 -1.0560925276706199e+08 -1.0532682940414849e+08 -1.0583994435154791e+08 -1.0757030094453438e+08 -1.1115625406473701e+08 -1.1761071391813812e+08 -1.2860814934025019e+08 2.9102776136639321e+08 +1.6699899966655514e+00 -2.3343055388993296e+08 -2.3336755555610657e+08 -2.3326471108500171e+08 -2.3313402578646615e+08 -2.3300963879035932e+08 -2.3294336473944271e+08 -2.3295772338977593e+08 -2.3301386134014845e+08 -2.3307300263830781e+08 -2.3312804935793063e+08 -2.3318440179858753e+08 -2.3324336059624362e+08 -2.3330472606865621e+08 -2.3336906017063928e+08 -2.3343745383591092e+08 -2.3351089092324558e+08 -2.3359064787042734e+08 -2.3367852426019445e+08 -2.3377668222586665e+08 -2.3388758612284151e+08 -2.3401406699327663e+08 -2.3415925743878785e+08 -2.3432598872257873e+08 -2.3451865692235604e+08 -2.3475072043823305e+08 -2.3503191254672500e+08 -2.3536382284293759e+08 -2.3575191997741637e+08 -2.3620524035800228e+08 -2.3673459795117807e+08 -2.3735239798660809e+08 -2.3807275346847922e+08 -2.3891162717721766e+08 -2.3988695289645612e+08 -2.4101872555260417e+08 -2.4232897937478083e+08 -2.4384167741859457e+08 -2.4558239998611224e+08 -2.4757781112671208e+08 -2.4985470722830325e+08 -2.5264404009182727e+08 -2.5581504694724175e+08 -2.5938621721496943e+08 -2.6336126285899958e+08 -2.6772100877217147e+08 -2.7241292053486252e+08 -2.7733837101686388e+08 -2.8233844009777546e+08 -2.8718063984240419e+08 -2.9154925679018545e+08 -2.9505504304583764e+08 -2.9723661690464807e+08 -2.9760376448820961e+08 -2.9574719516942906e+08 -2.9137367814807284e+08 -2.8440300356654543e+08 -2.7499559398479885e+08 -2.6354587765729758e+08 -2.5062061885540697e+08 -2.3684982425502294e+08 -2.2286048153881571e+08 -2.0917676348374486e+08 -1.9621721062555188e+08 -1.8424974387163466e+08 -1.7344737290389848e+08 -1.6389000882417101e+08 -1.5557876969209656e+08 -1.4849515903303769e+08 -1.4257548024644241e+08 -1.3773558904787505e+08 -1.3389851756265745e+08 -1.3094187243933177e+08 -1.2875576751548322e+08 -1.2720905354270667e+08 -1.2615837839819740e+08 -1.2548056065460750e+08 -1.2503978086680850e+08 -1.2473279412578116e+08 -1.2449793472248164e+08 -1.2434952482695834e+08 -1.2420544139444782e+08 -1.2406091090353629e+08 -1.2391046138099685e+08 -1.2375553877280527e+08 -1.2359544108811943e+08 -1.2341582464490788e+08 -1.2322932046855758e+08 -1.2302964747826573e+08 -1.2281311255832334e+08 -1.2257683143732674e+08 -1.2231729999934033e+08 -1.2203057007081144e+08 -1.2171490314606340e+08 -1.2135147489207336e+08 -1.2095416688853024e+08 -1.2050858881152628e+08 -1.2000825943663406e+08 -1.1944620498248440e+08 -1.1881523235581595e+08 -1.1810812774407873e+08 -1.1732070243346429e+08 -1.1643530053724256e+08 -1.1546279398147877e+08 -1.1439529142484896e+08 -1.1323526444131505e+08 -1.1199181538301200e+08 -1.1068043575884011e+08 -1.0933061594496864e+08 -1.0798972428936717e+08 -1.0671243669453177e+08 -1.0561316725699395e+08 -1.0482311908543748e+08 -1.0454283420561138e+08 -1.0505213721000202e+08 -1.0676960629690889e+08 -1.1032885967405704e+08 -1.1673531216863531e+08 -1.2765076401425566e+08 2.9184799874296266e+08 +1.6749583194398094e+00 -2.3412870530622396e+08 -2.3406576164976192e+08 -2.3396301797255614e+08 -2.3383245985620600e+08 -2.3370819126781398e+08 -2.3364198201364779e+08 -2.3365633211100584e+08 -2.3371242233299744e+08 -2.3377151231880531e+08 -2.3382651081764764e+08 -2.3388281352362388e+08 -2.3394171982855472e+08 -2.3400303032172436e+08 -2.3406730651771018e+08 -2.3413563826330999e+08 -2.3420900848258442e+08 -2.3428869234412619e+08 -2.3437648773584619e+08 -2.3447455458786586e+08 -2.3458535471084660e+08 -2.3471171616689178e+08 -2.3485676810815972e+08 -2.3502333827958122e+08 -2.3521581729571983e+08 -2.3544764911856797e+08 -2.3572855553558761e+08 -2.3606012107349664e+08 -2.3644780432786503e+08 -2.3690062634327123e+08 -2.3742938133364934e+08 -2.3804644959300128e+08 -2.3876591248627162e+08 -2.3960369240750992e+08 -2.4057767137362024e+08 -2.4170777773200899e+08 -2.4301595965496776e+08 -2.4452606876769650e+08 -2.4626354076627249e+08 -2.4825485202050689e+08 -2.5052655537677354e+08 -2.5330872883866787e+08 -2.5647043993351147e+08 -2.6002951414075884e+08 -2.6398880776907438e+08 -2.6832806090879923e+08 -2.7299339542507476e+08 -2.7788457390617490e+08 -2.8284083672110635e+08 -2.8762774142995614e+08 -2.9192773211843610e+08 -2.9535021758003145e+08 -2.9743337198486739e+08 -2.9768793585354793e+08 -2.9570749374069285e+08 -2.9120344920669580e+08 -2.8410152044643664e+08 -2.7456842898314714e+08 -2.6300415727791527e+08 -2.4997941144669831e+08 -2.3612604295226046e+08 -2.2207103939193255e+08 -2.0833707694137293e+08 -1.9534047436592689e+08 -1.8334656600278431e+08 -1.7252598134820735e+08 -1.6295655426272646e+08 -1.5463766587122503e+08 -1.4754954251162609e+08 -1.4162753684138340e+08 -1.3678676417576432e+08 -1.3294980854468441e+08 -1.2999388133067739e+08 -1.2780886986745584e+08 -1.2626343063864516e+08 -1.2521412722368234e+08 -1.2453774965420879e+08 -1.2409840312442896e+08 -1.2379282129564698e+08 -1.2355938595974554e+08 -1.2341201480218451e+08 -1.2326899090276454e+08 -1.2312554613039891e+08 -1.2297623556008197e+08 -1.2282248844848633e+08 -1.2266364067096986e+08 -1.2248528417138186e+08 -1.2230019472149643e+08 -1.2210203570986439e+08 -1.2188714185958323e+08 -1.2165265063712895e+08 -1.2139508434362549e+08 -1.2111052456392628e+08 -1.2079727998393182e+08 -1.2043649901059158e+08 -1.2004219494634423e+08 -1.1959998467865649e+08 -1.1910343583415991e+08 -1.1854562720564371e+08 -1.1791941991565999e+08 -1.1721765453432278e+08 -1.1643620676665576e+08 -1.1555739106712994e+08 -1.1459222495140508e+08 -1.1353277893623506e+08 -1.1238150596404111e+08 -1.1114743973116706e+08 -1.0984595493382481e+08 -1.0850631960747087e+08 -1.0717557516828690e+08 -1.0590783581104024e+08 -1.0481686204954442e+08 -1.0403277797159949e+08 -1.0375464294630529e+08 -1.0426011359060523e+08 -1.0596462621161133e+08 -1.0949703696226399e+08 -1.1585522508605562e+08 -1.2668825483857585e+08 2.9266484053498030e+08 +1.6799266422140675e+00 -2.3482239498066378e+08 -2.3475950669530761e+08 -2.3465686110600701e+08 -2.3452642891086867e+08 -2.3440228005943358e+08 -2.3433613568272820e+08 -2.3435047613492543e+08 -2.3440651809646699e+08 -2.3446555593185392e+08 -2.3452050517058960e+08 -2.3457675697119072e+08 -2.3463560941598618e+08 -2.3469686328533581e+08 -2.3476107961380786e+08 -2.3482934711312145e+08 -2.3490264770521450e+08 -2.3498225521549499e+08 -2.3506996574331486e+08 -2.3516793690058991e+08 -2.3527862782245791e+08 -2.3540486344364473e+08 -2.3554976928792125e+08 -2.3571616933711728e+08 -2.3590844834523663e+08 -2.3614003530955756e+08 -2.3642064021867824e+08 -2.3675184225844300e+08 -2.3713908952732834e+08 -2.3759138712881854e+08 -2.3811950884112051e+08 -2.3873580922394741e+08 -2.3945433707090777e+08 -2.4029097330248803e+08 -2.4126354690594679e+08 -2.4239191818189630e+08 -2.4369794754741019e+08 -2.4520537323762330e+08 -2.4693948409703115e+08 -2.4892656625564358e+08 -2.5119292613477045e+08 -2.5396775058342972e+08 -2.5711994342636359e+08 -2.6066666164672726e+08 -2.6460990140132102e+08 -2.6892831404127121e+08 -2.7356667514827144e+08 -2.7842313705336291e+08 -2.8333510492121035e+08 -2.8806619247972631e+08 -2.9229702061823630e+08 -2.9563568407458490e+08 -2.9761995187251341e+08 -2.9776156410666239e+08 -2.9565702438345319e+08 -2.9102240375631773e+08 -2.8378936089831805e+08 -2.7413090380732238e+08 -2.6245253385475051e+08 -2.4932884978683570e+08 -2.3539349609150928e+08 -2.2127341559736520e+08 -2.0748975559086296e+08 -1.9445659398946866e+08 -1.8243667055229464e+08 -1.7159823431903088e+08 -1.6201704618762875e+08 -1.5369075681093857e+08 -1.4659832225671309e+08 -1.4067415132466796e+08 -1.3583262498896140e+08 -1.3199588447084339e+08 -1.2904075069939987e+08 -1.2685688861743981e+08 -1.2531276423101945e+08 -1.2426486061067815e+08 -1.2358994253172146e+08 -1.2315204284306063e+08 -1.2284787617446914e+08 -1.2261587351559141e+08 -1.2246954685252580e+08 -1.2232758818384017e+08 -1.2218523489410795e+08 -1.2203706929432103e+08 -1.2188450388204911e+08 -1.2172691253570141e+08 -1.2154982283227915e+08 -1.2136615557328962e+08 -1.2116951852955247e+08 -1.2095627441018158e+08 -1.2072358253510527e+08 -1.2046799176147150e+08 -1.2018561359043808e+08 -1.1987480408021104e+08 -1.1951668457371129e+08 -1.1912540031795089e+08 -1.1868657565266825e+08 -1.1819382731476076e+08 -1.1764028694866072e+08 -1.1701887017982975e+08 -1.1632247224846144e+08 -1.1554703355301380e+08 -1.1467483905956444e+08 -1.1371705218596043e+08 -1.1266570530139551e+08 -1.1152323261852135e+08 -1.1029859881459434e+08 -1.0900706115539800e+08 -1.0767766416003804e+08 -1.0635712052325164e+08 -1.0509898006196561e+08 -1.0401634583076011e+08 -1.0323825737133946e+08 -1.0296228349601217e+08 -1.0346390149876216e+08 -1.0515538915222983e+08 -1.0866081534205136e+08 -1.1497048378962278e+08 -1.2572065584592962e+08 2.9347827651517338e+08 +1.6848949649883256e+00 -2.3551158525913075e+08 -2.3544875601966870e+08 -2.3534620948063463e+08 -2.3521590067708704e+08 -2.3509187180947459e+08 -2.3502579318008235e+08 -2.3504012372123250e+08 -2.3509611658483034e+08 -2.3515510142541283e+08 -2.3521000035862482e+08 -2.3526620007393032e+08 -2.3532499729183897e+08 -2.3538619288660264e+08 -2.3545034737905601e+08 -2.3551854830150318e+08 -2.3559177649833137e+08 -2.3567130438745600e+08 -2.3575892617628330e+08 -2.3585679705008093e+08 -2.3596737333354610e+08 -2.3609347668822420e+08 -2.3623822882892337e+08 -2.3640444973118863e+08 -2.3659651788942957e+08 -2.3682784680909225e+08 -2.3710813436853841e+08 -2.3743895414113417e+08 -2.3782574328505933e+08 -2.3827749038505325e+08 -2.3880494810025162e+08 -2.3942044445603204e+08 -2.4013799474198729e+08 -2.4097343731985110e+08 -2.4194454688261861e+08 -2.4307111421751371e+08 -2.4437491028983212e+08 -2.4587955798903263e+08 -2.4761019706545967e+08 -2.4959292085802659e+08 -2.5185378648955733e+08 -2.5462107231703582e+08 -2.5776352449589181e+08 -2.6129762700115108e+08 -2.6522451140161416e+08 -2.6952173645451152e+08 -2.7413272900229311e+08 -2.7895403128391755e+08 -2.8382121773530906e+08 -2.8849596911587358e+08 -2.9265710255535597e+08 -2.9591142811945713e+08 -2.9779634867764193e+08 -2.9782464890996099e+08 -2.9559579496584165e+08 -2.9083055795690167e+08 -2.8346654880816734e+08 -2.7368304891830194e+08 -2.6189104289081120e+08 -2.4866897277863473e+08 -2.3465222447471258e+08 -2.2046765165189144e+08 -2.0663484077580184e+08 -1.9356561016563097e+08 -1.8152009725290763e+08 -1.7066417053080890e+08 -1.6107152232491574e+08 -1.5273807934035620e+08 -1.4564153431881964e+08 -1.3971535909168822e+08 -1.3487320634685415e+08 -1.3103677977123131e+08 -1.2808251463992500e+08 -1.2589985760454766e+08 -1.2435708796933706e+08 -1.2331061207004273e+08 -1.2263717269641078e+08 -1.2220073335541885e+08 -1.2189799203316514e+08 -1.2166743060568452e+08 -1.2152215415573335e+08 -1.2138126637759507e+08 -1.2124001029597783e+08 -1.2109299564480953e+08 -1.2094161809282750e+08 -1.2078528965777434e+08 -1.2060947355793746e+08 -1.2042723590395801e+08 -1.2023212876398325e+08 -1.2002054297908014e+08 -1.1978965983646938e+08 -1.1953605488892643e+08 -1.1925586970947631e+08 -1.1894750790864787e+08 -1.1859206396093699e+08 -1.1820381527616233e+08 -1.1776839388773590e+08 -1.1727946589869507e+08 -1.1673021608173771e+08 -1.1611361484977745e+08 -1.1542261239901762e+08 -1.1465321409392190e+08 -1.1378767558222888e+08 -1.1283730649311025e+08 -1.1179410104348099e+08 -1.1066047461797535e+08 -1.0944532251451559e+08 -1.0816378395465773e+08 -1.0684467877338941e+08 -1.0553438916614683e+08 -1.0428589792068911e+08 -1.0321164678079097e+08 -1.0243958525344628e+08 -1.0216578374786666e+08 -1.0266352896324509e+08 -1.0434192360589063e+08 -1.0782022425030403e+08 -1.1408111942467666e+08 -1.2474800109772687e+08 2.9428829661365676e+08 +1.6898632877625837e+00 -2.3619624994452864e+08 -2.3613347605897418e+08 -2.3603103038735783e+08 -2.3590084697958294e+08 -2.3577693689892977e+08 -2.3571092271044061e+08 -2.3572524313918823e+08 -2.3578118592865995e+08 -2.3584011692226362e+08 -2.3589496452611771e+08 -2.3595111097243306e+08 -2.3600985159040153e+08 -2.3607098725360441e+08 -2.3613507793307078e+08 -2.3620320994488221e+08 -2.3627636296993384e+08 -2.3635580796356294e+08 -2.3644333712983581e+08 -2.3654110312362227e+08 -2.3665155932201776e+08 -2.3677752396724659e+08 -2.3692211478506798e+08 -2.3708814750083077e+08 -2.3727999395004424e+08 -2.3751105161885980e+08 -2.3779100596264520e+08 -2.3812142467085844e+08 -2.3850773351843709e+08 -2.3895890399223801e+08 -2.3948566694885767e+08 -2.4010032307922822e+08 -2.4081685323672670e+08 -2.4165105213675728e+08 -2.4262063891581783e+08 -2.4374533338166249e+08 -2.4504681535297343e+08 -2.4654859042062601e+08 -2.4827564700393915e+08 -2.5025388310616824e+08 -2.5250910369168273e+08 -2.5526866130557257e+08 -2.5840115050193512e+08 -2.6192237777887508e+08 -2.6583260574166366e+08 -2.7010829678316778e+08 -2.7469152666092491e+08 -2.7947722782780731e+08 -2.8429914863745457e+08 -2.8891704792917573e+08 -2.9300795868982416e+08 -2.9617743582054543e+08 -2.9796255503718746e+08 -2.9787719045013189e+08 -2.9552381385715657e+08 -2.9062792842761505e+08 -2.8313310846463376e+08 -2.7322489511310363e+08 -2.6131972015726122e+08 -2.4799981953120047e+08 -2.3390226905649486e+08 -2.1965378916528457e+08 -2.0577237392311573e+08 -1.9266756362555504e+08 -1.8059688588565049e+08 -1.6972382873739180e+08 -1.6012002043484959e+08 -1.5177967032005721e+08 -1.4467921477841118e+08 -1.3875119556668729e+08 -1.3390854313656840e+08 -1.3007252890322675e+08 -1.2711920727425258e+08 -1.2493781069479983e+08 -1.2339643553023222e+08 -1.2235141513979611e+08 -1.2167947358434881e+08 -1.2124450802062079e+08 -1.2094320216916567e+08 -1.2071409047245491e+08 -1.2056986991608311e+08 -1.2043005865034752e+08 -1.2028990546384321e+08 -1.2014404769893301e+08 -1.1999386412683809e+08 -1.1983880503935161e+08 -1.1966426930492191e+08 -1.1948346862049502e+08 -1.1928989926626144e+08 -1.1907998036118791e+08 -1.1885091527312328e+08 -1.1859930638810703e+08 -1.1832132550645849e+08 -1.1801542396911176e+08 -1.1766266957770519e+08 -1.1727747212039959e+08 -1.1684547156367132e+08 -1.1636038363199656e+08 -1.1581544650055559e+08 -1.1520368565260845e+08 -1.1451810652405460e+08 -1.1375477971597803e+08 -1.1289593172791989e+08 -1.1195301870571896e+08 -1.1091799670978963e+08 -1.0979326219984475e+08 -1.0858764073605885e+08 -1.0731615288649812e+08 -1.0600739264178483e+08 -1.0470740993199402e+08 -1.0346861788360313e+08 -1.0240279310209136e+08 -1.0163678960948071e+08 -1.0136517161731219e+08 -1.0185902403523198e+08 -1.0352425808267096e+08 -1.0697529314788429e+08 -1.1318716316147962e+08 -1.2377032468266013e+08 2.9509489091719806e+08 +1.6948316105368417e+00 -2.3687635312670141e+08 -2.3681363744208676e+08 -2.3671128955839488e+08 -2.3658123435763407e+08 -2.3645744181488091e+08 -2.3639149280944160e+08 -2.3640580254745519e+08 -2.3646169445744964e+08 -2.3652057073464873e+08 -2.3657536602452436e+08 -2.3663145801504335e+08 -2.3669014064755800e+08 -2.3675121471705383e+08 -2.3681523959752405e+08 -2.3688330036107507e+08 -2.3695637543071970e+08 -2.3703573424887300e+08 -2.3712316690020174e+08 -2.3722082341076443e+08 -2.3733115406805301e+08 -2.3745697355098638e+08 -2.3760139541351607e+08 -2.3776723088953596e+08 -2.3795884475445989e+08 -2.3818961794647938e+08 -2.3846922318538553e+08 -2.3879922200526688e+08 -2.3918502835328293e+08 -2.3963559604080167e+08 -2.4016163343715635e+08 -2.4077541309855109e+08 -2.4149088050817084e+08 -2.4232378565036696e+08 -2.4329179084126163e+08 -2.4441454344501022e+08 -2.4571363044027981e+08 -2.4721243817013186e+08 -2.4893580149051371e+08 -2.5090942053373057e+08 -2.5315884525528297e+08 -2.5591048509112370e+08 -2.5903278909485349e+08 -2.6254088186231038e+08 -2.6643415272127730e+08 -2.7068796401272118e+08 -2.7524303817444348e+08 -2.7999269832046437e+08 -2.8476887153646123e+08 -2.8932940597662205e+08 -2.9334957027633786e+08 -2.9643369379932874e+08 -2.9811856411486989e+08 -2.9791918943356097e+08 -2.9544108992311651e+08 -2.9041453224221122e+08 -2.8278906455391228e+08 -2.7275647352031082e+08 -2.6073860169019154e+08 -2.4732142935679564e+08 -2.3314367094342509e+08 -2.1883186985779914e+08 -2.0490239654030177e+08 -1.9176249516099524e+08 -1.7966707627888384e+08 -1.6877724773207495e+08 -1.5916257831157362e+08 -1.5081556664091149e+08 -1.4371139974414837e+08 -1.3778169620126331e+08 -1.3293867027229467e+08 -1.2910316635108027e+08 -1.2615086275055122e+08 -1.2397078178046219e+08 -1.2243084061612691e+08 -1.2138730338379292e+08 -1.2071687865754981e+08 -1.2028340022386695e+08 -1.1998353990549167e+08 -1.1975588638396129e+08 -1.1961272736387448e+08 -1.1947399819429778e+08 -1.1933495355121160e+08 -1.1919025856992888e+08 -1.1904127505550551e+08 -1.1888749170766464e+08 -1.1871424305565633e+08 -1.1853488665479332e+08 -1.1834286291513793e+08 -1.1813461937707427e+08 -1.1790738160218805e+08 -1.1765777894637626e+08 -1.1738201359185429e+08 -1.1707858478656349e+08 -1.1672853385469632e+08 -1.1634640317466247e+08 -1.1591784088533750e+08 -1.1543661258563061e+08 -1.1489601012566064e+08 -1.1428911433992252e+08 -1.1360898618587418e+08 -1.1285176176986292e+08 -1.1199963861335437e+08 -1.1106421968041869e+08 -1.1003742287161468e+08 -1.0892162562514211e+08 -1.0772558340769024e+08 -1.0646419752865496e+08 -1.0516583498191161e+08 -1.0387621167815210e+08 -1.0264716846911374e+08 -1.0158981301912300e+08 -1.0082989845237119e+08 -1.0056047504154530e+08 -1.0105041478774592e+08 -1.0270242111483133e+08 -1.0612605151840341e+08 -1.1228864619457033e+08 -1.2278766071551159e+08 2.9589804966848397e+08 +1.6997999333110998e+00 -2.3755186859613886e+08 -2.3748920702331096e+08 -2.3738695907537743e+08 -2.3725702976263130e+08 -2.3713335691421443e+08 -2.3706747188612539e+08 -2.3708177025936508e+08 -2.3713761070867348e+08 -2.3719643138308355e+08 -2.3725117341150701e+08 -2.3730720975602034e+08 -2.3736583299927220e+08 -2.3742684380992883e+08 -2.3749080089649814e+08 -2.3755878806948581e+08 -2.3763178239381927e+08 -2.3771105175215086e+08 -2.3779838398789939e+08 -2.3789592640462613e+08 -2.3800612605602729e+08 -2.3813179391329432e+08 -2.3827603917579937e+08 -2.3844166834507552e+08 -2.3863303873509637e+08 -2.3886351420600650e+08 -2.3914275442840314e+08 -2.3947231450998139e+08 -2.3985759612590858e+08 -2.4030753483332539e+08 -2.4083281582909173e+08 -2.4144568273384896e+08 -2.4216004472834760e+08 -2.4299160597919369e+08 -2.4395797071999806e+08 -2.4507871240755489e+08 -2.4637532348933685e+08 -2.4787106911519259e+08 -2.4959062835048473e+08 -2.5155950092882445e+08 -2.5380297895899227e+08 -2.5654651149292797e+08 -2.5965840821679285e+08 -2.6315310744269332e+08 -2.6702912096834120e+08 -2.7126070747978842e+08 -2.7578723396995586e+08 -2.8050041480258185e+08 -2.8523036077669311e+08 -2.8973302078030562e+08 -2.9368191906142700e+08 -2.9668018919053072e+08 -2.9826436959669465e+08 -2.9795064708404857e+08 -2.9534763252319098e+08 -2.9019038692655843e+08 -2.8243444215618080e+08 -2.7227781559730560e+08 -2.6014772378688616e+08 -2.4663384176714101e+08 -2.3237647138992828e+08 -2.1800193555733407e+08 -2.0402495021371391e+08 -1.9085044562270084e+08 -1.7873070830658984e+08 -1.6782446634473729e+08 -1.5819923378110534e+08 -1.4984580522324356e+08 -1.4273812535244697e+08 -1.3680689647356322e+08 -1.3196362269398102e+08 -1.2812872662403235e+08 -1.2517751524209373e+08 -1.2299880477883029e+08 -1.2146033695453623e+08 -1.2041831039080286e+08 -1.1974942140274012e+08 -1.1931744337483408e+08 -1.1901903859033465e+08 -1.1879285163289310e+08 -1.1865075975380552e+08 -1.1851311822627077e+08 -1.1837518773621015e+08 -1.1823166139553718e+08 -1.1808388397496380e+08 -1.1793138271484719e+08 -1.1775942781683853e+08 -1.1758152296363437e+08 -1.1739105261326705e+08 -1.1718449287147351e+08 -1.1695909160488196e+08 -1.1671150527549091e+08 -1.1643796660056090e+08 -1.1613702291004975e+08 -1.1578968924643660e+08 -1.1541064078714569e+08 -1.1498553408149855e+08 -1.1450818485428335e+08 -1.1397193890100953e+08 -1.1336993268684460e+08 -1.1269528297052032e+08 -1.1194419162957363e+08 -1.1109882737844773e+08 -1.1017094029668736e+08 -1.0915241012264535e+08 -1.0804559517711681e+08 -1.0685918048007633e+08 -1.0560794748068275e+08 -1.0432003503224134e+08 -1.0304082328334264e+08 -1.0182157821689354e+08 -1.0077273477721146e+08 -1.0001893981603955e+08 -9.9751721978267744e+07 -1.0023772931470381e+08 -1.0187644125556098e+08 -1.0527252886711085e+08 -1.1138559974140622e+08 -1.2180004333696176e+08 2.9669776326538694e+08 +1.7047682560853579e+00 -2.3822275775427827e+08 -2.3816015481981245e+08 -2.3805800702753317e+08 -2.3792820290195981e+08 -2.3780465099766028e+08 -2.3773882800402021e+08 -2.3775311498153782e+08 -2.3780890343622011e+08 -2.3786766760090113e+08 -2.3792235544673619e+08 -2.3797833495028237e+08 -2.3803689738218325e+08 -2.3809784326812887e+08 -2.3816173055816004e+08 -2.3822964179340613e+08 -2.3830255257725972e+08 -2.3838172918437651e+08 -2.3846895709619722e+08 -2.3856638080190092e+08 -2.3867644397455350e+08 -2.3880195373304006e+08 -2.3894601473937461e+08 -2.3911142852194971e+08 -2.3930254453133991e+08 -2.3953270901894709e+08 -2.3981156829160210e+08 -2.4014067076057822e+08 -2.4052540538367158e+08 -2.4097468888409406e+08 -2.4149918260238230e+08 -2.4211110042242083e+08 -2.4282431428873777e+08 -2.4365448146401238e+08 -2.4461914683870697e+08 -2.4573780849886534e+08 -2.4703186267334503e+08 -2.4852445137459305e+08 -2.5024009565736732e+08 -2.5220409233624828e+08 -2.5444147284788913e+08 -2.5717670860848302e+08 -2.6027797610230222e+08 -2.6375902302040473e+08 -2.6761747944003019e+08 -2.7182649687191325e+08 -2.7632408485201114e+08 -2.8100034971994728e+08 -2.8568359113757265e+08 -2.9012787032735896e+08 -2.9400498728402072e+08 -2.9691690964139754e+08 -2.9839996568989748e+08 -2.9797156514071614e+08 -2.9524345150692379e+08 -2.8995551045323128e+08 -2.8206926674184859e+08 -2.7178895312531161e+08 -2.5954712300211266e+08 -2.4593709647032997e+08 -2.3160071179529372e+08 -2.1716402819797909e+08 -2.0314007660651934e+08 -1.8993145591800186e+08 -1.7778782188680506e+08 -1.6686552344152766e+08 -1.5723002470090169e+08 -1.4887042301527542e+08 -1.4175942776579937e+08 -1.3582683188698921e+08 -1.3098343536636819e+08 -1.2714924425607446e+08 -1.2419919894663386e+08 -1.2202191363122600e+08 -1.2048495829689771e+08 -1.1944446977322502e+08 -1.1877713533056702e+08 -1.1834667090743862e+08 -1.1804973159509003e+08 -1.1782501953584127e+08 -1.1768400036436448e+08 -1.1754745198656097e+08 -1.1741064122065072e+08 -1.1726828933699562e+08 -1.1712172400489989e+08 -1.1697051113642409e+08 -1.1679985661863425e+08 -1.1662341052695435e+08 -1.1643450128720520e+08 -1.1622963371252443e+08 -1.1600607808589682e+08 -1.1576051811050455e+08 -1.1548921719047284e+08 -1.1519077091197136e+08 -1.1484616823064700e+08 -1.1447021732903585e+08 -1.1404858340375322e+08 -1.1357513255537677e+08 -1.1304326479364285e+08 -1.1244617249113357e+08 -1.1177702848607378e+08 -1.1103210069159767e+08 -1.1019352918515037e+08 -1.0927321145612001e+08 -1.0826298907874058e+08 -1.0716520116078131e+08 -1.0598846192485905e+08 -1.0474743236336000e+08 -1.0347002205208963e+08 -1.0220127364694130e+08 -1.0099187568668494e+08 -9.9951586641909763e+07 -9.9203941754334509e+07 -9.8938940405303299e+07 -9.9420995729787156e+07 -1.0104634707867302e+08 -1.0441475472055508e+08 -1.1047805504198149e+08 -1.2080750671141891e+08 2.9749402226023197e+08 +1.7097365788596159e+00 -2.3888899647992548e+08 -2.3882644809090286e+08 -2.3872440167568168e+08 -2.3859472574073687e+08 -2.3847128881854492e+08 -2.3840553162014458e+08 -2.3841980573207530e+08 -2.3847554160162711e+08 -2.3853424833062643e+08 -2.3858888108414727e+08 -2.3864480255257457e+08 -2.3870330273501185e+08 -2.3876418203082246e+08 -2.3882799751612452e+08 -2.3889583045924035e+08 -2.3896865490359345e+08 -2.3904773546264029e+08 -2.3913485513499695e+08 -2.3923215550516278e+08 -2.3934207671866429e+08 -2.3946742189586467e+08 -2.3961129097779524e+08 -2.3977648028179678e+08 -2.3996733099025202e+08 -2.4019717121535233e+08 -2.4047563358501211e+08 -2.4080425954325062e+08 -2.4118842488519827e+08 -2.4163702692208353e+08 -2.4216070245094126e+08 -2.4277163481860125e+08 -2.4348365780038229e+08 -2.4431238066922665e+08 -2.4527528771097535e+08 -2.4639180018067747e+08 -2.4768321640110454e+08 -2.4917255330932179e+08 -2.5088417173343518e+08 -2.5284316305780002e+08 -2.5507429523371685e+08 -2.5780104481395108e+08 -2.6089146127871501e+08 -2.6435859740595281e+08 -2.6819919742277518e+08 -2.7238530222971368e+08 -2.7685356200259048e+08 -2.8149247592418152e+08 -2.8612853783406663e+08 -2.9051393306901193e+08 -2.9431875767327368e+08 -2.9714384330806285e+08 -2.9852534712010741e+08 -2.9798194585308248e+08 -2.9512855721079719e+08 -2.8970992123843914e+08 -2.8169356416748571e+08 -2.7128991820637578e+08 -2.5893683614480403e+08 -2.4523123336863726e+08 -2.3081643370253512e+08 -2.1631818981703189e+08 -2.0224781745719969e+08 -1.8900556701031050e+08 -1.7683845698021179e+08 -1.6590045792353931e+08 -1.5625498895800677e+08 -1.4788945699223629e+08 -1.4077534317220524e+08 -1.3484153796918786e+08 -1.2999814327800190e+08 -1.2616475380461465e+08 -1.2321594808487952e+08 -1.2104014230196272e+08 -1.1950473841759638e+08 -1.1846581516681333e+08 -1.1780005397452185e+08 -1.1737111627793477e+08 -1.1707565231439666e+08 -1.1685242343203072e+08 -1.1671248249659322e+08 -1.1657703273826672e+08 -1.1644134722890392e+08 -1.1630017557830226e+08 -1.1615482828749762e+08 -1.1600491007043359e+08 -1.1583556251377220e+08 -1.1566058234732322e+08 -1.1547324188574122e+08 -1.1527007479079686e+08 -1.1504837387234879e+08 -1.1480485020863059e+08 -1.1453579804197057e+08 -1.1423986138668804e+08 -1.1389800330727775e+08 -1.1352516519352098e+08 -1.1310702112577693e+08 -1.1263748782846102e+08 -1.1211001979210861e+08 -1.1151786557227585e+08 -1.1085425436241221e+08 -1.1011552037370621e+08 -1.0928377521683432e+08 -1.0837106408129880e+08 -1.0736919037603194e+08 -1.0628047390165336e+08 -1.0511345773471577e+08 -1.0388268181769733e+08 -1.0261582532066573e+08 -1.0135759168794422e+08 -1.0015808945790306e+08 -9.9126396897873193e+07 -9.8384932340174556e+07 -9.8122158319399163e+07 -9.8600242166060328e+07 -1.0021216717733125e+08 -1.0355275862525454e+08 -1.0956604335727471e+08 -1.1981008502691832e+08 2.9828681735906452e+08 +1.7147049016338740e+00 -2.3955055029629976e+08 -2.3948806022879636e+08 -2.3938611216180089e+08 -2.3925656085285950e+08 -2.3913324478944662e+08 -2.3906755063199562e+08 -2.3908181191346022e+08 -2.3913749436268449e+08 -2.3919614272713286e+08 -2.3925071947019300e+08 -2.3930658171623203e+08 -2.3936501820050690e+08 -2.3942582924095947e+08 -2.3948957090916562e+08 -2.3955732319930065e+08 -2.3963005850181103e+08 -2.3970903970835111e+08 -2.3979604721946642e+08 -2.3989321962289119e+08 -2.4000299338921076e+08 -2.4012816749403211e+08 -2.4027183697273153e+08 -2.4043679269402808e+08 -2.4062736716778028e+08 -2.4085686983510312e+08 -2.4113491932864904e+08 -2.4146304985593662e+08 -2.4184662360275203e+08 -2.4229451788950023e+08 -2.4281734428457320e+08 -2.4342725479580161e+08 -2.4413804409583041e+08 -2.4496527238287264e+08 -2.4592636207827044e+08 -2.4704065614581203e+08 -2.4832935331894875e+08 -2.4981534352322724e+08 -2.5152282515094417e+08 -2.5347668165329376e+08 -2.5570141469549918e+08 -2.5841948876540104e+08 -2.6149883256803498e+08 -2.6495179972052267e+08 -2.6877424453375083e+08 -2.7293709394631159e+08 -2.7737563698190260e+08 -2.8197676667240679e+08 -2.8656517651533478e+08 -2.9089118792033130e+08 -2.9462321344712925e+08 -2.9736097885596716e+08 -2.9864050912935436e+08 -2.9798179198092449e+08 -2.9500296045407295e+08 -2.8945363813871652e+08 -2.8130736067196643e+08 -2.7078074325906646e+08 -2.5831690027508107e+08 -2.4451629255450019e+08 -2.3002367879428080e+08 -2.1546446255327827e+08 -2.0134821457737547e+08 -1.8807281991659912e+08 -1.7588265358935496e+08 -1.6492930872501132e+08 -1.5527416446827316e+08 -1.4690294415539226e+08 -1.3978590778385487e+08 -1.3385105027133629e+08 -1.2900778143985315e+08 -1.2517528984916365e+08 -1.2222779689983922e+08 -1.2005352477754629e+08 -1.1851971111299323e+08 -1.1748238022867943e+08 -1.1681821088979355e+08 -1.1639081296457638e+08 -1.1609683416429715e+08 -1.1587509668215944e+08 -1.1573623947328642e+08 -1.1560189376607433e+08 -1.1546733900686365e+08 -1.1532735332490896e+08 -1.1518322998642911e+08 -1.1503461263641208e+08 -1.1486657857650201e+08 -1.1469307144876935e+08 -1.1450730737905861e+08 -1.1430584901820540e+08 -1.1408601181262480e+08 -1.1384453434853470e+08 -1.1357774185649051e+08 -1.1328432695006564e+08 -1.1294522699736494e+08 -1.1257551679488011e+08 -1.1216087954230043e+08 -1.1169528283377449e+08 -1.1117223590597770e+08 -1.1058504377037628e+08 -1.0992699224998228e+08 -1.0919448211406413e+08 -1.0836959667701536e+08 -1.0746452911487073e+08 -1.0647104467110850e+08 -1.0539144374506025e+08 -1.0423419792137466e+08 -1.0301372550389920e+08 -1.0175747413624588e+08 -1.0050980634430696e+08 -9.9320248128461748e+07 -9.8297193848326549e+07 -9.7561939664765641e+07 -9.7301403735671133e+07 -9.7775496774760410e+07 -9.9373930163254261e+07 -1.0268657014693080e+08 -1.0864959596876396e+08 -1.1880781249360065e+08 2.9907613942091888e+08 +1.7196732244081321e+00 -2.4020738824245787e+08 -2.4014495397036853e+08 -2.4004310820973322e+08 -2.3991368289248499e+08 -2.3979048674071804e+08 -2.3972485493373954e+08 -2.3973910292839870e+08 -2.3979473107258213e+08 -2.3985332016654506e+08 -2.3990783994890881e+08 -2.3996364179478231e+08 -2.4002201312809825e+08 -2.4008275424540976e+08 -2.4014642008341753e+08 -2.4021408935171044e+08 -2.4028673270687875e+08 -2.4036561125060102e+08 -2.4045250267269826e+08 -2.4054954247137424e+08 -2.4065916329591417e+08 -2.4078415982757100e+08 -2.4092762201391247e+08 -2.4109233503741413e+08 -2.4128262232950756e+08 -2.4151177412843570e+08 -2.4178939475431353e+08 -2.4211701090882960e+08 -2.4249997072237879e+08 -2.4294713094527629e+08 -2.4346907723047164e+08 -2.4407792944628698e+08 -2.4478744222969055e+08 -2.4561312561886388e+08 -2.4657233891102734e+08 -2.4768434532102564e+08 -2.4897024231078896e+08 -2.5045279086441225e+08 -2.5215602473337498e+08 -2.5410461694183478e+08 -2.5632280008113110e+08 -2.5903200939927188e+08 -2.6210005908676508e+08 -2.6553859939722365e+08 -2.6934259072079235e+08 -2.7348184276779950e+08 -2.7789028172789288e+08 -2.8245319562733233e+08 -2.8699348326498115e+08 -2.9125961425905108e+08 -2.9491833831282973e+08 -2.9756830545708978e+08 -2.9874544747331935e+08 -2.9797110678873062e+08 -2.9486667253602731e+08 -2.8918668044644374e+08 -2.8091068287257528e+08 -2.7026146101516324e+08 -2.5768735269946307e+08 -2.4379231430745602e+08 -2.2922248889101201e+08 -2.1460288864457023e+08 -2.0044130984980774e+08 -1.8713325570642304e+08 -1.7492045175591046e+08 -1.6395211481276032e+08 -1.5428758917507771e+08 -1.4591092153058341e+08 -1.3879115783604980e+08 -1.3285540436659677e+08 -1.2801238488484342e+08 -1.2418088699095665e+08 -1.2123477965547544e+08 -1.1906209506544121e+08 -1.1752991020034054e+08 -1.1649419863722731e+08 -1.1583163965235202e+08 -1.1540579446625786e+08 -1.1511331058164719e+08 -1.1489307266796966e+08 -1.1475530463807975e+08 -1.1462206837532027e+08 -1.1448864982130639e+08 -1.1434985580303562e+08 -1.1420696228618041e+08 -1.1405965197479096e+08 -1.1389293790167113e+08 -1.1372091087575443e+08 -1.1353673075796017e+08 -1.1333698932734135e+08 -1.1311902477547623e+08 -1.1287960332912363e+08 -1.1261508135587770e+08 -1.1232420023796208e+08 -1.1198787184206495e+08 -1.1162130456763887e+08 -1.1121019096795417e+08 -1.1074854975176792e+08 -1.1022994516458999e+08 -1.0964773894545341e+08 -1.0899527381894438e+08 -1.0826901737056738e+08 -1.0745102478868857e+08 -1.0655363751888812e+08 -1.0556858263942571e+08 -1.0449814105529161e+08 -1.0335071251527831e+08 -1.0214059310048047e+08 -1.0089499781538323e+08 -9.9657946571700677e+07 -9.8478380314170524e+07 -9.7464005813962147e+07 -9.6734991836759523e+07 -9.6476704686442256e+07 -9.6946787724717185e+07 -9.8531664665928707e+07 -1.0181621886990671e+08 -1.0772874417750937e+08 -1.1780072334290919e+08 2.9986197945708752e+08 +1.7246415471823902e+00 -2.4085948083332729e+08 -2.4079710614850974e+08 -2.4069535883637893e+08 -2.4056605943393403e+08 -2.4044298265724665e+08 -2.4037741380169806e+08 -2.4039164820154095e+08 -2.4044722127093512e+08 -2.4050575024973986e+08 -2.4056021207193568e+08 -2.4061595234419379e+08 -2.4067425707734483e+08 -2.4073492659687588e+08 -2.4079851459191582e+08 -2.4086609846237528e+08 -2.4093864706222454e+08 -2.4101741962622306e+08 -2.4110419102557588e+08 -2.4120109357438722e+08 -2.4131055595605284e+08 -2.4143536840614575e+08 -2.4157861560085878e+08 -2.4174307680033749e+08 -2.4193306595209327e+08 -2.4216185355692762e+08 -2.4243902930623019e+08 -2.4276611212624604e+08 -2.4314843564526001e+08 -2.4359483546418250e+08 -2.4411587063465253e+08 -2.4472362808387601e+08 -2.4543182148012182e+08 -2.4625590961691570e+08 -2.4721318740932655e+08 -2.4832283686666483e+08 -2.4960585250040400e+08 -2.5108486442506558e+08 -2.5278373955516863e+08 -2.5472693800220653e+08 -2.5693842050802273e+08 -2.5963857593370461e+08 -2.6269511024713480e+08 -2.6611896618100226e+08 -2.6990420626340443e+08 -2.7401951979400140e+08 -2.7839746855764484e+08 -2.8292173685786170e+08 -2.8741343460157722e+08 -2.9161919192527390e+08 -2.9520411646396953e+08 -2.9776581278756368e+08 -2.9884015841933155e+08 -2.9794989404368794e+08 -2.9471970523200929e+08 -2.8890906788625526e+08 -2.8050355776078612e+08 -2.6973210451553535e+08 -2.5704823096904212e+08 -2.4305933909222800e+08 -2.2841290594802168e+08 -2.1373351042587212e+08 -1.9952714522676402e+08 -1.8618691549981356e+08 -1.7395189156103742e+08 -1.6296891518397063e+08 -1.5329530104785192e+08 -1.4491342616699323e+08 -1.3779112958592919e+08 -1.3185463584913602e+08 -1.2701198866646311e+08 -1.2318157985103479e+08 -1.2023693063607346e+08 -1.1806588719304067e+08 -1.1653536951678917e+08 -1.1550130409044577e+08 -1.1484037385833186e+08 -1.1441609430185416e+08 -1.1412511502319300e+08 -1.1390638479073152e+08 -1.1376971135398102e+08 -1.1363758989119145e+08 -1.1350531295839761e+08 -1.1336771625838107e+08 -1.1322605839079753e+08 -1.1308006124521780e+08 -1.1291467360342480e+08 -1.1274413369242074e+08 -1.1256154503260069e+08 -1.1236352866994537e+08 -1.1214744564923587e+08 -1.1191008996885215e+08 -1.1164784928147061e+08 -1.1135951390562265e+08 -1.1102597040187968e+08 -1.1066256096540749e+08 -1.1025498773663345e+08 -1.0979732078157465e+08 -1.0928317961614560e+08 -1.0870598297616084e+08 -1.0805913075807717e+08 -1.0733915761939742e+08 -1.0652809079321739e+08 -1.0563842027350079e+08 -1.0466183497459053e+08 -1.0360059621416132e+08 -1.0246303156475092e+08 -1.0126331430373938e+08 -1.0002842569171216e+08 -9.8802041343148693e+07 -9.7632514647517800e+07 -9.6626861132194027e+07 -9.5904116981354281e+07 -9.5648089220848620e+07 -9.6114143201371178e+07 -9.7685399331743732e+07 -1.0094173439561357e+08 -1.0680351930272904e+08 -1.1678885182651757e+08 3.0064432863039058e+08 +1.7296098699566482e+00 -2.4150679855042535e+08 -2.4144448024507979e+08 -2.4134283327025470e+08 -2.4121366250903308e+08 -2.4109070303163725e+08 -2.4102519757964161e+08 -2.4103941738372573e+08 -2.4109493468079534e+08 -2.4115340279461136e+08 -2.4120780560864133e+08 -2.4126348312393156e+08 -2.4132171981842405e+08 -2.4138231605448446e+08 -2.4144582419516349e+08 -2.4151332028571481e+08 -2.4158577131924269e+08 -2.4166443458003247e+08 -2.4175108201821479e+08 -2.4184784266563812e+08 -2.4195714109707412e+08 -2.4208176294899505e+08 -2.4222478744350505e+08 -2.4238898768277591e+08 -2.4257866772318751e+08 -2.4280707779478621e+08 -2.4308379264193064e+08 -2.4341032314640483e+08 -2.4379198798798981e+08 -2.4423760103857335e+08 -2.4475769406203452e+08 -2.4536432024328279e+08 -2.4607115134876171e+08 -2.4689359384385917e+08 -2.4784887700406224e+08 -2.4895610017786250e+08 -2.5023615325054768e+08 -2.5171153354437196e+08 -2.5340593894428685e+08 -2.5534361417398155e+08 -2.5754824536346528e+08 -2.6023915786918992e+08 -2.6328395575790602e+08 -2.6669287013017404e+08 -2.7045906177362978e+08 -2.7455009647945881e+08 -2.7889717016682941e+08 -2.8338236483796597e+08 -2.8782500747659230e+08 -2.9196990122033381e+08 -2.9548053257988501e+08 -2.9795349102764171e+08 -2.9892463874348164e+08 -2.9791815801310253e+08 -2.9456207079025775e+08 -2.8862082061152780e+08 -2.8008601269923073e+08 -2.6919270710657978e+08 -2.5639957287464294e+08 -2.4231740755400485e+08 -2.2759497205300632e+08 -2.1285637032690287e+08 -1.9860576272835433e+08 -1.8523384046588215e+08 -1.7297701312207434e+08 -1.6197974886574331e+08 -1.5229733808134162e+08 -1.4391049513687214e+08 -1.3678585931176192e+08 -1.3084878033346878e+08 -1.2600662785769628e+08 -1.2217740307015155e+08 -1.1923428414488649e+08 -1.1706493520672029e+08 -1.1553612291848531e+08 -1.1450373030527927e+08 -1.1384444712214032e+08 -1.1342174600884213e+08 -1.1313228096425952e+08 -1.1291506647053324e+08 -1.1277949300304767e+08 -1.1264849165733150e+08 -1.1251736172330405e+08 -1.1238096795542327e+08 -1.1224055152265148e+08 -1.1209587362597799e+08 -1.1193181881488466e+08 -1.1176277298120299e+08 -1.1158178323166302e+08 -1.1138550001642868e+08 -1.1117130734043790e+08 -1.1093602710437530e+08 -1.1067607839255860e+08 -1.1039030062665412e+08 -1.1005955525553274e+08 -1.0969931845985052e+08 -1.0929530220021470e+08 -1.0884162814066646e+08 -1.0833197132698666e+08 -1.0775980775906605e+08 -1.0711859477386002e+08 -1.0640493435447000e+08 -1.0560082594939931e+08 -1.0471890837626269e+08 -1.0375083238720982e+08 -1.0269883962112576e+08 -1.0157118513490073e+08 -1.0038191882644127e+08 -9.9157787115554363e+07 -9.7942119647799313e+07 -9.6782679777281865e+07 -9.5785788156378850e+07 -9.5069343239734709e+07 -9.4815585403448999e+07 -9.5277591405756176e+07 -9.6835162823300675e+07 -1.0006314634237175e+08 -1.0587395268140773e+08 -1.1577223221528246e+08 3.0142317825444585e+08 +1.7345781927309063e+00 -2.4214931036565593e+08 -2.4208704875407454e+08 -2.4198550446156847e+08 -2.4185646078750888e+08 -2.4173361843484759e+08 -2.4166817617053708e+08 -2.4168238054119706e+08 -2.4173784125252372e+08 -2.4179624781606552e+08 -2.4185059054921630e+08 -2.4190620410191092e+08 -2.4196437133355287e+08 -2.4202489258649355e+08 -2.4208831886362308e+08 -2.4215572478597191e+08 -2.4222807543884495e+08 -2.4230662606688434e+08 -2.4239314560110798e+08 -2.4248975968847880e+08 -2.4259888865632856e+08 -2.4272331338614383e+08 -2.4286610746330488e+08 -2.4303003759592837e+08 -2.4321939754327095e+08 -2.4344741672975793e+08 -2.4372365463312894e+08 -2.4404961382375875e+08 -2.4443059758433044e+08 -2.4487539747945085e+08 -2.4539451729811412e+08 -2.4599997568172100e+08 -2.4670540156282496e+08 -2.4752614799477339e+08 -2.4847937735766131e+08 -2.4958410488590959e+08 -2.5086111416542643e+08 -2.5233276780733535e+08 -2.5402259248196745e+08 -2.5595461505843592e+08 -2.5815224430632976e+08 -2.6083372498916212e+08 -2.6386656562480110e+08 -2.6726028161645895e+08 -2.7100712819547158e+08 -2.7507354463260585e+08 -2.7938935963037837e+08 -2.8383505444826788e+08 -2.8822817927600294e+08 -2.9231172290690708e+08 -2.9574757182484341e+08 -2.9813133085846645e+08 -2.9899888572880000e+08 -2.9787590346127552e+08 -2.9439378192818856e+08 -2.8832195919980067e+08 -2.7965807541718304e+08 -2.6864330243703049e+08 -2.5574141644432351e+08 -2.4156656051703143e+08 -2.2676872942423370e+08 -2.1197151086954412e+08 -1.9767720444003937e+08 -1.8427407182172331e+08 -1.7199585659235680e+08 -1.6098465491369432e+08 -1.5129373829425320e+08 -1.4290216553312412e+08 -1.3577538331172523e+08 -1.2983787345291013e+08 -1.2499633754989780e+08 -1.2116839130726498e+08 -1.1822687450333256e+08 -1.1605927317096318e+08 -1.1453220427941501e+08 -1.1350151101650226e+08 -1.1284389307660910e+08 -1.1242278314263991e+08 -1.1213484189807507e+08 -1.1191915114512146e+08 -1.1178468298474191e+08 -1.1165480703519788e+08 -1.1152482943839866e+08 -1.1138964417615794e+08 -1.1125047492209953e+08 -1.1110712231314448e+08 -1.1094440668646452e+08 -1.1077686184235416e+08 -1.1059747840166554e+08 -1.1040293635462409e+08 -1.1019064277333221e+08 -1.0995744759004049e+08 -1.0969980146623477e+08 -1.0941659309190182e+08 -1.0908865899890245e+08 -1.0873160954004674e+08 -1.0833116672776507e+08 -1.0788150406354177e+08 -1.0737635238028686e+08 -1.0680924520788424e+08 -1.0617369758976139e+08 -1.0546637908671917e+08 -1.0466926153283283e+08 -1.0379513284123495e+08 -1.0283560560454905e+08 -1.0179290169108200e+08 -1.0067520330675079e+08 -9.9496436397196874e+07 -9.8283111452690899e+07 -9.7078210490184978e+07 -9.5928904367296115e+07 -9.4940815254898176e+07 -9.4230698767697006e+07 -9.3979221313899204e+07 -9.4437160554263428e+07 -9.5980983818253681e+07 -9.9180484344091192e+07 -1.0494007566717021e+08 -1.1475089879803620e+08 3.0219851979294044e+08 +1.7395465155051644e+00 -2.4278698587309113e+08 -2.4272478307147723e+08 -2.4262333812203652e+08 -2.4249442114933228e+08 -2.4237169893944037e+08 -2.4230631868342847e+08 -2.4232050793670723e+08 -2.4237591122765782e+08 -2.4243425551230535e+08 -2.4248853709806192e+08 -2.4254408545669886e+08 -2.4260218181542313e+08 -2.4266262637098399e+08 -2.4272596877634248e+08 -2.4279328213799411e+08 -2.4286552959189457e+08 -2.4294396425239518e+08 -2.4303035193568069e+08 -2.4312681479811922e+08 -2.4323576878347644e+08 -2.4335998985958198e+08 -2.4350254579377040e+08 -2.4366619666473043e+08 -2.4385522552673680e+08 -2.4408284046341622e+08 -2.4435858536724657e+08 -2.4468395422835347e+08 -2.4506423448552257e+08 -2.4550819481669894e+08 -2.4602631034890944e+08 -2.4663056437961468e+08 -2.4733454207532606e+08 -2.4815354199390158e+08 -2.4910465836525917e+08 -2.5020682085906559e+08 -2.5148070509076312e+08 -2.5294853704670969e+08 -2.5463367000397226e+08 -2.5655991051942798e+08 -2.5875038726710060e+08 -2.6142224736083210e+08 -2.6444291015166497e+08 -2.6782117132615510e+08 -2.7154837680721337e+08 -2.7558983641737497e+08 -2.7987401040236056e+08 -2.8427978097415543e+08 -2.8862292781848872e+08 -2.9264463820713723e+08 -2.9600521984620750e+08 -2.9829932346005559e+08 -2.9906289716282284e+08 -2.9782313564559013e+08 -2.9421485182958031e+08 -2.8801250465050471e+08 -2.7921977400659794e+08 -2.6808392445297307e+08 -2.5507379993994308e+08 -2.4080683898060915e+08 -2.2593422040612021e+08 -2.1107897466651854e+08 -1.9674151251156729e+08 -1.8330765082963273e+08 -1.7100846215992659e+08 -1.5998367241018835e+08 -1.5028453972797596e+08 -1.4188847446944380e+08 -1.3475973790260968e+08 -1.2882195085906778e+08 -1.2398115285233715e+08 -1.2015457923831992e+08 -1.1721473604999423e+08 -1.1504893516723751e+08 -1.1352364749059311e+08 -1.1249467997598603e+08 -1.1183874537091358e+08 -1.1141923927536358e+08 -1.1113283133460119e+08 -1.1091867226897894e+08 -1.1078531471556681e+08 -1.1065656940298560e+08 -1.1052774944320762e+08 -1.1039377821938950e+08 -1.1025586184606408e+08 -1.1011384051921476e+08 -1.0995247038520533e+08 -1.0978643339260058e+08 -1.0960866360509984e+08 -1.0941587068883701e+08 -1.0920548488854595e+08 -1.0897438429621054e+08 -1.0871905129581536e+08 -1.0843842400863841e+08 -1.0811331424440908e+08 -1.0775946671136574e+08 -1.0736261370470682e+08 -1.0691698080080806e+08 -1.0641635487553054e+08 -1.0585432725206169e+08 -1.0522447094501339e+08 -1.0452352334260920e+08 -1.0373342883469753e+08 -1.0286712469806929e+08 -1.0191618536896916e+08 -1.0088281285487391e+08 -9.9775116176407516e+07 -9.8606896759465829e+07 -9.7404428083694026e+07 -9.6210342889426947e+07 -9.5071217095739350e+07 -9.4091970810432330e+07 -9.3388211735431448e+07 -9.3139025045878023e+07 -9.3592878877095267e+07 -9.5122891008770764e+07 -9.8293778049474478e+07 -1.0400191962929170e+08 -1.1372488588122165e+08 3.0297034485890156e+08 +1.7445148382794224e+00 -2.4341979763089278e+08 -2.4335765071240979e+08 -2.4325630930601117e+08 -2.4312751897509927e+08 -2.4300491565455380e+08 -2.4293959678538179e+08 -2.4295376992362639e+08 -2.4300911512093952e+08 -2.4306739627152348e+08 -2.4312161566267359e+08 -2.4317709758217773e+08 -2.4323512166586208e+08 -2.4329548779743135e+08 -2.4335874432363769e+08 -2.4342596272800297e+08 -2.4349810416073507e+08 -2.4357641951354247e+08 -2.4366267139539063e+08 -2.4375897836099511e+08 -2.4386775183950999e+08 -2.4399176272431847e+08 -2.4413407278182349e+08 -2.4429743522707593e+08 -2.4448612200203073e+08 -2.4471331931307504e+08 -2.4498855514762962e+08 -2.4531331464816648e+08 -2.4569286896173432e+08 -2.4613596330070996e+08 -2.4665304344328761e+08 -2.4725605654249692e+08 -2.4795854306567219e+08 -2.4877574599485528e+08 -2.4972469015541571e+08 -2.5082421820278963e+08 -2.5209489611525694e+08 -2.5355881134386224e+08 -2.5523914160107309e+08 -2.5715947068420744e+08 -2.5934264444936401e+08 -2.6200469533638224e+08 -2.6501295994099224e+08 -2.6837551026020145e+08 -2.7208277922033459e+08 -2.7609894435269225e+08 -2.8035109631629646e+08 -2.8471652010759217e+08 -2.8900923135556495e+08 -2.9296862880289799e+08 -2.9625346277339852e+08 -2.9845746051071370e+08 -2.9911667133401310e+08 -2.9775986031521338e+08 -2.9402529414008176e+08 -2.8769247837992597e+08 -2.7877113691916043e+08 -2.6751460739536497e+08 -2.5439676185343993e+08 -2.4003828411680371e+08 -2.2509148746880078e+08 -2.1017880441883984e+08 -1.9579872915456137e+08 -1.8233461879691106e+08 -1.7001487004534945e+08 -1.5897684046357653e+08 -1.4926978044547948e+08 -1.4086945907837886e+08 -1.3373895941902895e+08 -1.2780104821999581e+08 -1.2296110889047965e+08 -1.1913600155576485e+08 -1.1619790313936007e+08 -1.1403395529288906e+08 -1.1251048645893598e+08 -1.1148327095121615e+08 -1.1082903767047761e+08 -1.1041114799496892e+08 -1.1012628279942068e+08 -1.0991366331253482e+08 -1.0978142162746663e+08 -1.0965381215451337e+08 -1.0952615509279861e+08 -1.0939340339954311e+08 -1.0925674556706120e+08 -1.0911606147253136e+08 -1.0895604309378695e+08 -1.0879152076430798e+08 -1.0861537192057770e+08 -1.0842433603907138e+08 -1.0821586664219427e+08 -1.0798687010921703e+08 -1.0773386069005938e+08 -1.0745582609963344e+08 -1.0713355361971064e+08 -1.0678292249437004e+08 -1.0638967553148761e+08 -1.0594809061829767e+08 -1.0545201092697097e+08 -1.0489508583632426e+08 -1.0427094659393182e+08 -1.0357639866328740e+08 -1.0279335916086867e+08 -1.0193491499093911e+08 -1.0099260243750115e+08 -9.9968603557295024e+07 -9.8870953854183033e+07 -9.7713329670843780e+07 -9.6521766403042927e+07 -9.5338545878288776e+07 -9.4209646654436052e+07 -9.3239283218850031e+07 -9.2541910326191276e+07 -9.2295024706370592e+07 -9.2744774617947608e+07 -9.4260913100478083e+07 -9.7403057121424779e+07 -1.0305951595174907e+08 -1.1269422778700879e+08 3.0373864521397030e+08 +1.7494831610536805e+00 -2.4404771440751234e+08 -2.4398562507334599e+08 -2.4388438527627811e+08 -2.4375572173049244e+08 -2.4363323868227398e+08 -2.4356798104497096e+08 -2.4358213722613874e+08 -2.4363742361789870e+08 -2.4369564069408971e+08 -2.4374979684486860e+08 -2.4380521108988479e+08 -2.4386316149584725e+08 -2.4392344746793717e+08 -2.4398661610747135e+08 -2.4405373715461385e+08 -2.4412576973936027e+08 -2.4420396243980286e+08 -2.4429007456605849e+08 -2.4438622095701817e+08 -2.4449480839951959e+08 -2.4461860254817230e+08 -2.4476065898869073e+08 -2.4492372383618948e+08 -2.4511205751288623e+08 -2.4533882381169143e+08 -2.4561353449472228e+08 -2.4593766558931568e+08 -2.4631647150244239e+08 -2.4675867340273979e+08 -2.4727468703268221e+08 -2.4787642259976336e+08 -2.4857737494139442e+08 -2.4939273038225621e+08 -2.5033944309086457e+08 -2.5143626726138425e+08 -2.5270365757056955e+08 -2.5416356102940962e+08 -2.5583897762055883e+08 -2.5775326594373333e+08 -2.5992898632983342e+08 -2.6258103955307654e+08 -2.6557668589438334e+08 -2.6892326973504984e+08 -2.7261030738098967e+08 -2.7660084131378150e+08 -2.8082059158580089e+08 -2.8514524794536167e+08 -2.8938706857173783e+08 -2.9328367683392900e+08 -2.9649228721655566e+08 -2.9860573418454641e+08 -2.9916020703105837e+08 -2.9768608370639718e+08 -2.9382512296468365e+08 -2.8736190221732718e+08 -2.7831219296127582e+08 -2.6693538579590669e+08 -2.5371034090380138e+08 -2.3926093726700589e+08 -2.2424057320411164e+08 -2.0927104291337702e+08 -1.9484889664107668e+08 -1.8135501707320440e+08 -1.6901512050086090e+08 -1.5796419820686737e+08 -1.4824949853022152e+08 -1.3984515651056519e+08 -1.3271308421222308e+08 -1.2677520122000484e+08 -1.2193624080542767e+08 -1.1811269296717416e+08 -1.1517641014129348e+08 -1.1301436766046675e+08 -1.1149275510620064e+08 -1.1046731772467779e+08 -1.0981480365524207e+08 -1.0939854290444481e+08 -1.0911522983331175e+08 -1.0890415776079884e+08 -1.0877303716749872e+08 -1.0864656869841935e+08 -1.0852007975691593e+08 -1.0838855304577272e+08 -1.0825315937240808e+08 -1.0811381841617650e+08 -1.0795515800968540e+08 -1.0779215710419537e+08 -1.0761763644093145e+08 -1.0742836543982849e+08 -1.0722182100506270e+08 -1.0699493792971136e+08 -1.0674426247232223e+08 -1.0646883210205305e+08 -1.0614940976692963e+08 -1.0580200942415150e+08 -1.0541238462312497e+08 -1.0497486579599205e+08 -1.0448335266358852e+08 -1.0393155291921090e+08 -1.0331315630479148e+08 -1.0262503660420494e+08 -1.0184908383113018e+08 -1.0099853477778234e+08 -1.0006488758062749e+08 -9.9050304256378874e+07 -9.7962746463648751e+07 -9.6815764901921764e+07 -9.5635155817873657e+07 -9.4462848502417386e+07 -9.3344221747809246e+07 -9.2382780888771370e+07 -9.1691822735846549e+07 -9.1447248414640844e+07 -9.1892876033025384e+07 -9.3395078811492905e+07 -9.6508351235737577e+07 -1.0211289603258803e+08 -1.1165895885319355e+08 3.0450341276767319e+08 +1.7544514838279386e+00 -2.4467070797039741e+08 -2.4460867793151027e+08 -2.4450753633545879e+08 -2.4437900129243046e+08 -2.4425663717456415e+08 -2.4419144171926245e+08 -2.4420558056709102e+08 -2.4426080752279386e+08 -2.4431895960149893e+08 -2.4437305144702297e+08 -2.4442839681012660e+08 -2.4448627212523133e+08 -2.4454647619813225e+08 -2.4460955494282812e+08 -2.4467657622941992e+08 -2.4474849713552314e+08 -2.4482656383423099e+08 -2.4491253224772888e+08 -2.4500851337991717e+08 -2.4511690925201800e+08 -2.4524048011427140e+08 -2.4538227519060555e+08 -2.4554503326014653e+08 -2.4573300281958559e+08 -2.4595932470965391e+08 -2.4623349414688304e+08 -2.4655697777643716e+08 -2.4693501281777290e+08 -2.4737629581646821e+08 -2.4789121179242218e+08 -2.4849163320746204e+08 -2.4919100833892941e+08 -2.5000446577233106e+08 -2.5094888776975644e+08 -2.5204293861831200e+08 -2.5330696003291646e+08 -2.5476275668409508e+08 -2.5643314866654295e+08 -2.5834126695461577e+08 -2.6050938365985140e+08 -2.6315125093402654e+08 -2.6613405921318948e+08 -2.6946442138376486e+08 -2.7313093356991702e+08 -2.7709550053167719e+08 -2.8128247080384058e+08 -2.8556594099036366e+08 -2.8975641858272660e+08 -2.9358976489826894e+08 -2.9672168026557869e+08 -2.9874413714910430e+08 -2.9919350353962344e+08 -2.9760181254044306e+08 -2.9361435286381108e+08 -2.8702079840285039e+08 -2.7784297129173911e+08 -2.6634629447345677e+08 -2.5301457603280139e+08 -2.3847483993938163e+08 -2.2338152032427320e+08 -2.0835573302147946e+08 -1.9389205730179352e+08 -1.8036888705021149e+08 -1.6800925380873412e+08 -1.5694578479630423e+08 -1.4722373208495206e+08 -1.3881560393349338e+08 -1.3168214864913788e+08 -1.2574444555832396e+08 -1.2090658375256015e+08 -1.1708468819442193e+08 -1.1415029143950897e+08 -1.1199020639633864e+08 -1.1047048736832330e+08 -1.0944685409273425e+08 -1.0879607701931991e+08 -1.0838145762022410e+08 -1.0809970599049748e+08 -1.0789018911274610e+08 -1.0776019479609671e+08 -1.0763487245720381e+08 -1.0750955681905608e+08 -1.0737926050094727e+08 -1.0724513656304580e+08 -1.0710714460653517e+08 -1.0694984834403193e+08 -1.0678837557325861e+08 -1.0661549027309127e+08 -1.0642799193932098e+08 -1.0622338096134883e+08 -1.0599862067190252e+08 -1.0575028947938094e+08 -1.0547747476641609e+08 -1.0516091534169063e+08 -1.0481676004911169e+08 -1.0443077340789565e+08 -1.0399733862747814e+08 -1.0351041222707693e+08 -1.0296376047275101e+08 -1.0235113185893950e+08 -1.0166946873372962e+08 -1.0090063417811649e+08 -1.0005801512930557e+08 -9.9133071581696317e+07 -9.8127945423264265e+07 -9.7050524140954480e+07 -9.5914232235672623e+07 -9.4744625747825816e+07 -9.3583279819386795e+07 -9.2474971092173114e+07 -9.1522492240443841e+07 -9.0837977171862051e+07 -9.0595724301666677e+07 -9.1037211389875099e+07 -9.2525416872113541e+07 -9.5609690080558449e+07 -1.0116209128269854e+08 -1.1061911343130159e+08 3.0526463957669687e+08 +1.7594198066021967e+00 -2.4528874768995303e+08 -2.4522677561648548e+08 -2.4512573711151636e+08 -2.4499733000861958e+08 -2.4487508407080045e+08 -2.4480995026161861e+08 -2.4482407072346348e+08 -2.4487923783481872e+08 -2.4493732402448431e+08 -2.4499135048630980e+08 -2.4504662578881937e+08 -2.4510442458538771e+08 -2.4516454501859862e+08 -2.4522753185808682e+08 -2.4529445097753108e+08 -2.4536625737026367e+08 -2.4544419471410069e+08 -2.4553001545421642e+08 -2.4562582663851172e+08 -2.4573402540095338e+08 -2.4585736642077565e+08 -2.4599889237952414e+08 -2.4616133448425621e+08 -2.4634892889926434e+08 -2.4657479297494730e+08 -2.4684840506156588e+08 -2.4717122215464446e+08 -2.4754846383887053e+08 -2.4798880145793509e+08 -2.4850258862230086e+08 -2.4910165924887145e+08 -2.4979941412334961e+08 -2.5061092301390105e+08 -2.5155299502600232e+08 -2.5264420309755301e+08 -2.5390477432354361e+08 -2.5535636913948959e+08 -2.5702162560074323e+08 -2.5892344463852122e+08 -2.6108380746533072e+08 -2.6371530069010523e+08 -2.6668505140022397e+08 -2.6999893715594274e+08 -2.7364463040333319e+08 -2.7758289559376490e+08 -2.8173670894360089e+08 -2.8597857615046841e+08 -2.9011726093674070e+08 -2.9388687604994392e+08 -2.9694162948754805e+08 -2.9887266256411499e+08 -2.9921656063894188e+08 -2.9750705402002025e+08 -2.9339299884980637e+08 -2.8666918958188981e+08 -2.7736350141654742e+08 -2.6574736853064355e+08 -2.5230950640392092e+08 -2.3768003380576327e+08 -2.2251437165828094e+08 -2.0743291769606686e+08 -1.9292825352388012e+08 -1.7937627015843412e+08 -1.6699731028040057e+08 -1.5592163941020864e+08 -1.4619251923025715e+08 -1.3778083853057790e+08 -1.3064618911101718e+08 -1.2470881694764748e+08 -1.1987217290080784e+08 -1.1605202197249749e+08 -1.1311958143075262e+08 -1.1096150564002019e+08 -1.0944371719389513e+08 -1.0842191386483720e+08 -1.0777289146957017e+08 -1.0735992577203956e+08 -1.0707974483843327e+08 -1.0687179088010438e+08 -1.0674292798702702e+08 -1.0661875686607556e+08 -1.0649461967560019e+08 -1.0636555912084894e+08 -1.0623271045274295e+08 -1.0609607331325382e+08 -1.0594014732060683e+08 -1.0578020934463036e+08 -1.0560896653619802e+08 -1.0542324859832340e+08 -1.0522057950816861e+08 -1.0499795126270752e+08 -1.0475197456079850e+08 -1.0448178685615194e+08 -1.0416810301200595e+08 -1.0382720693001115e+08 -1.0344487432652999e+08 -1.0301554141852285e+08 -1.0253322177167492e+08 -1.0199174048105653e+08 -1.0138490505005310e+08 -1.0070972663214810e+08 -9.9948041546581686e+07 -9.9113387128192246e+07 -9.8197185235705167e+07 -9.7201557540509418e+07 -9.6134317033672929e+07 -9.5008761466449350e+07 -9.3850205623690590e+07 -9.2699868897812948e+07 -9.1601923414782569e+07 -9.0658445704974428e+07 -8.9980401852373779e+07 -8.9740480509228647e+07 -9.0177808967320994e+07 -9.1651956023479015e+07 -9.4707103355419978e+07 -1.0020713312501369e+08 -1.0957472588623187e+08 3.0602231784416234e+08 +1.7643881293764547e+00 -2.4590180605287948e+08 -2.4583989386308748e+08 -2.4573895661747348e+08 -2.4561067540644300e+08 -2.4548854908662289e+08 -2.4542347717355886e+08 -2.4543757915752295e+08 -2.4549268583257622e+08 -2.4555070519119519e+08 -2.4560466521271279e+08 -2.4565986928632548e+08 -2.4571759012226069e+08 -2.4577762517508826e+08 -2.4584051809714961e+08 -2.4590733263844699e+08 -2.4597902167982697e+08 -2.4605682631161556e+08 -2.4614249541528752e+08 -2.4623813195674568e+08 -2.4634612806596199e+08 -2.4646923268217754e+08 -2.4661048176434708e+08 -2.4677259871073878e+08 -2.4695980694718799e+08 -2.4718519979452330e+08 -2.4745823841550347e+08 -2.4778036988985595e+08 -2.4815679571925566e+08 -2.4859616146720707e+08 -2.4910878864817283e+08 -2.4970647183448774e+08 -2.5040256339073896e+08 -2.5121207318919212e+08 -2.5215173593064663e+08 -2.5324003176386529e+08 -2.5449707151018253e+08 -2.5594436947904176e+08 -2.5760437954346693e+08 -2.5949977018407926e+08 -2.6165222904871047e+08 -2.6427316031855068e+08 -2.6722963425867850e+08 -2.7052678931793714e+08 -2.7415137083318174e+08 -2.7806300044458938e+08 -2.8218328135860574e+08 -2.8638313073902231e+08 -2.9046957561262339e+08 -2.9417499379920334e+08 -2.9715212292765731e+08 -2.9899130407968557e+08 -2.9922937860097444e+08 -2.9740181582744020e+08 -2.9316107638346910e+08 -2.8630709880257052e+08 -2.7687381318574893e+08 -2.6513864334977570e+08 -2.5159517139640033e+08 -2.3687656069858426e+08 -2.2163917015041208e+08 -2.0650263997052643e+08 -1.9195752774970859e+08 -1.7837720786703157e+08 -1.6597933025444096e+08 -1.5489180124802819e+08 -1.4515589810408530e+08 -1.3674089749980956e+08 -1.2960524199276835e+08 -1.2366835111362280e+08 -1.1883304343145894e+08 -1.1501472904870629e+08 -1.1208431452415594e+08 -1.0992829954282801e+08 -1.0841247854374529e+08 -1.0739253086222017e+08 -1.0674528072482640e+08 -1.0633398100133605e+08 -1.0605537995601064e+08 -1.0584899658639345e+08 -1.0572127022549166e+08 -1.0559825537213899e+08 -1.0547530173489216e+08 -1.0534748227293171e+08 -1.0521591436705101e+08 -1.0508063781749138e+08 -1.0492608817481890e+08 -1.0476769160349955e+08 -1.0459809836133808e+08 -1.0441416848936734e+08 -1.0421344965411581e+08 -1.0399296264065421e+08 -1.0374935057753634e+08 -1.0348180114597704e+08 -1.0317100545758718e+08 -1.0283338263945380e+08 -1.0245471983114810e+08 -1.0202950648624574e+08 -1.0155181346318790e+08 -1.0101552493961954e+08 -1.0041450768284369e+08 -9.9745841891193524e+07 -9.8991337292225778e+07 -9.8164681868124992e+07 -9.7257259348655820e+07 -9.6271171101283953e+07 -9.5214155300053149e+07 -9.4099382399101421e+07 -9.2951924886680350e+07 -9.1812644816865429e+07 -9.0725107453034207e+07 -8.9790669723505110e+07 -8.9119125005784407e+07 -8.8881545188940823e+07 -8.9314697053842202e+07 -9.0774725016865268e+07 -9.3800620770252407e+07 -9.9248052993668556e+07 -1.0852583059507859e+08 3.0677643991890073e+08 +1.7693564521507128e+00 -2.4650985534697938e+08 -2.4644800043405071e+08 -2.4634716536458731e+08 -2.4621901573709106e+08 -2.4609700630786324e+08 -2.4603199454584923e+08 -2.4604607777485207e+08 -2.4610112304315612e+08 -2.4615907454051712e+08 -2.4621296711571944e+08 -2.4626809877511767e+08 -2.4632574019781101e+08 -2.4638568813046554e+08 -2.4644848511869964e+08 -2.4651519266683781e+08 -2.4658676151631019e+08 -2.4666443007502478e+08 -2.4674994357583293e+08 -2.4684540077560964e+08 -2.4695318868321234e+08 -2.4707605032984766e+08 -2.4721701477186602e+08 -2.4737879735987452e+08 -2.4756560837719482e+08 -2.4779051657466117e+08 -2.4806296560631934e+08 -2.4838439236951658e+08 -2.4875997983547711e+08 -2.4919834720885631e+08 -2.4970978322209153e+08 -2.5030604230354667e+08 -2.5100042746794707e+08 -2.5180788761415544e+08 -2.5274508179242793e+08 -2.5383039592405048e+08 -2.5508382290668476e+08 -2.5652672903885481e+08 -2.5818138187453091e+08 -2.6007021504673451e+08 -2.6221461998836690e+08 -2.6482480160549510e+08 -2.6776777989392737e+08 -2.7104795045474893e+08 -2.7465112814750117e+08 -2.7853578938492107e+08 -2.8262216378199589e+08 -2.8677958247467393e+08 -2.9081334301949167e+08 -2.9445410211109954e+08 -2.9735314910472888e+08 -2.9910005583359855e+08 -2.9923195818675822e+08 -2.9728610611999321e+08 -2.9291860137157202e+08 -2.8593454951162785e+08 -2.7637393679017437e+08 -2.6452015458986837e+08 -2.5087161060375956e+08 -2.3606446260881245e+08 -2.2075595885697007e+08 -2.0556494295482662e+08 -1.9097992247463429e+08 -1.7737174168200585e+08 -1.6495535409571943e+08 -1.5385630952839342e+08 -1.4411390685994884e+08 -1.3569581805289719e+08 -1.2855934370168728e+08 -1.2262308379385726e+08 -1.1778923053721935e+08 -1.1397284418138546e+08 -1.1104452513964877e+08 -1.0889062226746368e+08 -1.0737680538964443e+08 -1.0635873891712445e+08 -1.0571327851487912e+08 -1.0530365696050863e+08 -1.0502664493348290e+08 -1.0482183976628257e+08 -1.0469525500762479e+08 -1.0457340143330258e+08 -1.0445163641568856e+08 -1.0432506333561622e+08 -1.0419478164244859e+08 -1.0406087141123870e+08 -1.0390770415335107e+08 -1.0375085554573517e+08 -1.0358291889055389e+08 -1.0340078469573377e+08 -1.0320202441856590e+08 -1.0298368775492804e+08 -1.0274245040134248e+08 -1.0247755042130250e+08 -1.0216965536872645e+08 -1.0183531976037925e+08 -1.0146034238456456e+08 -1.0103926615840110e+08 -1.0056621947755188e+08 -1.0003514585418740e+08 -9.9439971572536752e+07 -9.8777846112616360e+07 -9.8030552780987322e+07 -9.7211930452811986e+07 -9.6313324736475691e+07 -9.5336816608970404e+07 -9.4290069108137831e+07 -9.3186124848291904e+07 -9.2049812987527579e+07 -9.0921636664991930e+07 -8.9844551953831077e+07 -8.8919192746604457e+07 -8.8254174869387493e+07 -8.8018946501712471e+07 -8.8447903947291061e+07 -8.9893752612980485e+07 -9.2890272044751778e+07 -9.8284882332836136e+07 -1.0747246194597025e+08 3.0752699829472888e+08 +1.7743247749249709e+00 -2.4711286507916632e+08 -2.4705107039744362e+08 -2.4695033710863191e+08 -2.4682231442282665e+08 -2.4670042573024839e+08 -2.4663547433139414e+08 -2.4664953826393670e+08 -2.4670452114725870e+08 -2.4676240374907830e+08 -2.4681622791584557e+08 -2.4687128594083902e+08 -2.4692884649231201e+08 -2.4698870556451613e+08 -2.4705140459788692e+08 -2.4711800273407090e+08 -2.4718944854833502e+08 -2.4726697766949928e+08 -2.4735233159808269e+08 -2.4744760475312594e+08 -2.4755517890677413e+08 -2.4767779101354438e+08 -2.4781846304677355e+08 -2.4797990207117370e+08 -2.4816630482288426e+08 -2.4839071494233513e+08 -2.4866255825278941e+08 -2.4898326120329216e+08 -2.4935798778749880e+08 -2.4979533027287111e+08 -2.5030554392302310e+08 -2.5090034222475749e+08 -2.5159297791372201e+08 -2.5239833784001791e+08 -2.5333300415842748e+08 -2.5441526712779024e+08 -2.5566500007491067e+08 -2.5710341940801647e+08 -2.5875260423384941e+08 -2.6063475095038125e+08 -2.6277095214007095e+08 -2.6537019662596503e+08 -2.6829946071417806e+08 -2.7156239346931249e+08 -2.7514387597115493e+08 -2.7900123707395679e+08 -2.8305333232757229e+08 -2.8716790948025113e+08 -2.9114854399725157e+08 -2.9472418540507811e+08 -2.9754469701282471e+08 -2.9919891244990486e+08 -2.9922430064457417e+08 -2.9715993352798378e+08 -2.9266559016141188e+08 -2.8555156555074120e+08 -2.7586390275667936e+08 -2.6389193818253541e+08 -2.5013886383021358e+08 -2.3524378168246487e+08 -2.1986478094449246e+08 -2.0461986983630353e+08 -1.8999548024597496e+08 -1.7635991314422414e+08 -1.6392542219362068e+08 -1.5281520348857468e+08 -1.4306658366600823e+08 -1.3464563741404808e+08 -1.2750853065618116e+08 -1.2157305073641159e+08 -1.1674076942119512e+08 -1.1292640213919683e+08 -1.1000024770753311e+08 -1.0784850798639487e+08 -1.0633673171330290e+08 -1.0532057187175953e+08 -1.0467691857941499e+08 -1.0426898731185576e+08 -1.0399357337074958e+08 -1.0379035396412045e+08 -1.0366491583982834e+08 -1.0354422851737007e+08 -1.0342365714721522e+08 -1.0329833569692765e+08 -1.0316934562511174e+08 -1.0303680739632666e+08 -1.0288502851222739e+08 -1.0272973437705646e+08 -1.0256346127534997e+08 -1.0238313031050411e+08 -1.0218633683076657e+08 -1.0197015956445378e+08 -1.0173130691376290e+08 -1.0146906747744982e+08 -1.0116408544533925e+08 -1.0083305088545805e+08 -1.0046177445903827e+08 -1.0004485277226485e+08 -9.9576472000446245e+07 -9.9050635240297258e+07 -9.8461328543720439e+07 -9.7805770907745644e+07 -9.7065719388262853e+07 -9.6255163995195389e+07 -9.5365412224235237e+07 -9.4398524575881541e+07 -9.3362088634979293e+07 -9.2269018637474060e+07 -9.1143899385681406e+07 -9.0026873539259046e+07 -8.8960285672355995e+07 -8.8044043233087510e+07 -8.7385579688988626e+07 -8.7152712616699740e+07 -8.7577457953927532e+07 -8.9009067581041783e+07 -9.1976086907367498e+07 -9.7317652596140280e+07 -1.0641465433736627e+08 3.0827398560972595e+08 +1.7792930976992289e+00 -2.4771081045690787e+08 -2.4764907206380203e+08 -2.4754844274457160e+08 -2.4742054770334589e+08 -2.4729877973982221e+08 -2.4723388806582329e+08 -2.4724793231434929e+08 -2.4730285195757145e+08 -2.4736066474784431e+08 -2.4741441954560757e+08 -2.4746940268459502e+08 -2.4752688090380499e+08 -2.4758664937562737e+08 -2.4764924842643422e+08 -2.4771573472798836e+08 -2.4778705466168249e+08 -2.4786444097791004e+08 -2.4794963136203799e+08 -2.4804471576581171e+08 -2.4815207060899127e+08 -2.4827442660165027e+08 -2.4841479845342869e+08 -2.4857588470389891e+08 -2.4876186813852504e+08 -2.4898576674537948e+08 -2.4925698819609571e+08 -2.4957694822487238e+08 -2.4995079140031987e+08 -2.5038708247518611e+08 -2.5089604255843011e+08 -2.5148934339699182e+08 -2.5218018652008066e+08 -2.5298339565361708e+08 -2.5391547481492549e+08 -2.5499461716768864e+08 -2.5624057482495937e+08 -2.5767441243026602e+08 -2.5931801852181673e+08 -2.6119334988754100e+08 -2.6332119763774124e+08 -2.6590931774410689e+08 -2.6882464943016231e+08 -2.7207009158310956e+08 -2.7562958826568025e+08 -2.7945931852732497e+08 -2.8347676348923242e+08 -2.8754809028403032e+08 -2.9147515981496966e+08 -2.9498522855322200e+08 -2.9772675611782265e+08 -2.9928786903718930e+08 -2.9920640770667076e+08 -2.9702330715086651e+08 -2.9240205953926080e+08 -2.8515817115286213e+08 -2.7534374194562697e+08 -2.6325403032881656e+08 -2.4939697108688641e+08 -2.3441456021750343e+08 -2.1896567968700334e+08 -2.0366746387515676e+08 -1.8900424366006416e+08 -1.7534176382812244e+08 -1.6288957496121725e+08 -1.5176852238321096e+08 -1.4201396670415255e+08 -1.3359039281888059e+08 -1.2645283928531927e+08 -1.2051828769902331e+08 -1.1568769529584943e+08 -1.1187543770005964e+08 -1.0895151666704915e+08 -1.0680199088138583e+08 -1.0529229150554556e+08 -1.0427806357749075e+08 -1.0363623466722095e+08 -1.0323000572678478e+08 -1.0295619887670824e+08 -1.0275457273332711e+08 -1.0263028623696522e+08 -1.0251077010127077e+08 -1.0239139736707698e+08 -1.0226733275428653e+08 -1.0213963967021687e+08 -1.0200847908347403e+08 -1.0185809451652771e+08 -1.0170436131211062e+08 -1.0153975867627694e+08 -1.0136123843556164e+08 -1.0116641992854790e+08 -1.0095241103715673e+08 -1.0071595300491318e+08 -1.0045638511831968e+08 -1.0015432839623015e+08 -9.9826608616106242e+07 -9.9459048535677463e+07 -9.9046298673783764e+07 -9.8582603226056755e+07 -9.8062025121811330e+07 -9.7478610429516628e+07 -9.6829647896117255e+07 -9.6096868497561976e+07 -9.5294413616654202e+07 -9.4413552645266891e+07 -9.3456325522325814e+07 -9.2430244065589622e+07 -9.1348093597929955e+07 -9.0234213548559070e+07 -8.9128384544494718e+07 -8.8072337371689275e+07 -8.7165249649469241e+07 -8.6513367717925087e+07 -8.6282871710567281e+07 -8.6703387387503207e+07 -8.8120698697861344e+07 -9.1058095094528660e+07 -9.6346395245604157e+07 -1.0535244217679557e+08 3.0901739464551216e+08 +1.7842614204734870e+00 -2.4830365924879244e+08 -2.4824198252640224e+08 -2.4814145276436633e+08 -2.4801368686344311e+08 -2.4789204024487805e+08 -2.4782720784457523e+08 -2.4784123199464303e+08 -2.4789608752947018e+08 -2.4795382971364871e+08 -2.4800751413555768e+08 -2.4806242112600604e+08 -2.4811981554876241e+08 -2.4817949168090838e+08 -2.4824198871375796e+08 -2.4830836075502789e+08 -2.4837955196094704e+08 -2.4845679210110295e+08 -2.4854181496556914e+08 -2.4863670590900615e+08 -2.4874383588135445e+08 -2.4886592918220723e+08 -2.4900599307621768e+08 -2.4916671733799800e+08 -2.4935227039945146e+08 -2.4957564405400568e+08 -2.4984622750026336e+08 -2.5016542549144283e+08 -2.5053836272427359e+08 -2.5097357585890326e+08 -2.5148125116437051e+08 -2.5207301784976605e+08 -2.5276202531202358e+08 -2.5356303307870385e+08 -2.5449246578874788e+08 -2.5556841808092678e+08 -2.5681051921578315e+08 -2.5823968020355016e+08 -2.5987759690050149e+08 -2.6174598411961946e+08 -2.6386532889321080e+08 -2.6644213761406693e+08 -2.6934331905638200e+08 -2.7257101833762974e+08 -2.7610823933019537e+08 -2.7991000911892796e+08 -2.8389243414116699e+08 -2.8792010381795460e+08 -2.9179317217062312e+08 -2.9523721687968367e+08 -2.9789931635695612e+08 -2.9936692118588525e+08 -2.9917828158745325e+08 -2.9687623655540287e+08 -2.9212802672599554e+08 -2.8475439093849844e+08 -2.7481348554581201e+08 -2.6260646749527362e+08 -2.4864597258923143e+08 -2.3357684066185692e+08 -2.1805869846385211e+08 -2.0270776840322182e+08 -1.8800625536184397e+08 -1.7431733534078655e+08 -1.6184785283372924e+08 -1.5071630548256463e+08 -1.4095609416824460e+08 -1.3253012151361975e+08 -1.2539230602717926e+08 -1.1945883044827224e+08 -1.1463004338196656e+08 -1.1081998565004541e+08 -1.0789836646573977e+08 -1.0575110514199537e+08 -1.0424351876528622e+08 -1.0323124789359222e+08 -1.0259126053506909e+08 -1.0218674588468355e+08 -1.0191455506846504e+08 -1.0171452963525033e+08 -1.0159139972233640e+08 -1.0147305966961364e+08 -1.0135489052130206e+08 -1.0123208791258423e+08 -1.0110569714091778e+08 -1.0097591979156649e+08 -1.0082693543946275e+08 -1.0067476957330382e+08 -1.0051184426181443e+08 -1.0033514218073848e+08 -1.0014230675788319e+08 -9.9930475148524210e+07 -9.9696421573056445e+07 -9.9439536155566558e+07 -9.9140416937757328e+07 -9.8816025561320275e+07 -9.8452197103225648e+07 -9.8043636216694653e+07 -9.7584645356140852e+07 -9.7069347530211881e+07 -9.6491849070536494e+07 -9.5849508705092967e+07 -9.5124031500013188e+07 -9.4329710445758000e+07 -9.3457776840309694e+07 -9.2510249976081014e+07 -9.1494565592193827e+07 -9.0423379568284273e+07 -8.9320784950550914e+07 -8.8226198792514026e+07 -8.7180735821617305e+07 -8.6282840468984067e+07 -8.5637567216235504e+07 -8.5409451966755971e+07 -8.5825720568383873e+07 -8.7228674747303501e+07 -9.0136326349717692e+07 -9.5371141750726387e+07 -1.0428585988000190e+08 3.0975721832652587e+08 +1.7892297432477451e+00 -2.4889138624942893e+08 -2.4882976901271090e+08 -2.4872934354838309e+08 -2.4860170703665289e+08 -2.4848017742947930e+08 -2.4841540666525313e+08 -2.4842940971987370e+08 -2.4848420021867225e+08 -2.4854187104295531e+08 -2.4859548401373577e+08 -2.4865031360392269e+08 -2.4870762276044464e+08 -2.4876720481664440e+08 -2.4882959778752288e+08 -2.4889585314120212e+08 -2.4896691276915827e+08 -2.4904400335961738e+08 -2.4912885472639140e+08 -2.4922354749786112e+08 -2.4933044703557688e+08 -2.4945227106365246e+08 -2.4959201922041461e+08 -2.4975237227473426e+08 -2.4993748390302980e+08 -2.5016031916141331e+08 -2.5043024845309806e+08 -2.5074866528505516e+08 -2.5112067403601480e+08 -2.5155478269494703e+08 -2.5206114200617009e+08 -2.5265133784509555e+08 -2.5333846654890752e+08 -2.5413722237552053e+08 -2.5506394934698531e+08 -2.5613664214938924e+08 -2.5737480555641815e+08 -2.5879919508165851e+08 -2.6043131179415500e+08 -2.6229262617861989e+08 -2.6440331859833938e+08 -2.6696862918128175e+08 -2.6985544291154420e+08 -2.7306514759304780e+08 -2.7657980380143118e+08 -2.8035328458083433e+08 -2.8430032153791809e+08 -2.8828392941859156e+08 -2.9210256319088751e+08 -2.9548013616013533e+08 -2.9806236813672721e+08 -2.9943606496704632e+08 -2.9913992498046261e+08 -2.9671873177132618e+08 -2.9184350937384999e+08 -2.8434024991216236e+08 -2.7427316507254297e+08 -2.6194928641117877e+08 -2.4788590875364116e+08 -2.3273066560975295e+08 -2.1714388075713742e+08 -2.0174082682209390e+08 -1.8700155804215276e+08 -1.7328666931960127e+08 -1.6080029626672891e+08 -1.4965859207191432e+08 -1.3989300426393819e+08 -1.3146486075326470e+08 -1.2432696732822903e+08 -1.1839471475837681e+08 -1.1356784890782192e+08 -1.0976008078249373e+08 -1.0684083155803317e+08 -1.0469588496533664e+08 -1.0319044749850261e+08 -1.0218015868648443e+08 -1.0154202994686596e+08 -1.0113924147199240e+08 -1.0086867556999463e+08 -1.0067025823836890e+08 -1.0054828982588829e+08 -1.0043113071433793e+08 -1.0031417006269950e+08 -1.0019263458408709e+08 -1.0006755140726854e+08 -9.9939162846224383e+07 -9.9791584560811237e+07 -9.9640992390170857e+07 -9.9479751207265690e+07 -9.9304874662748575e+07 -9.9114030371523142e+07 -9.8904384881262630e+07 -9.8672745523172453e+07 -9.8418553407986477e+07 -9.8122383793439358e+07 -9.7801334337225005e+07 -9.7441252657271162e+07 -9.7036897761310667e+07 -9.6582630599492863e+07 -9.6072634503865987e+07 -9.5501076314174443e+07 -9.4865384968432382e+07 -9.4147239793357551e+07 -9.3361085617822453e+07 -9.2498115656428218e+07 -9.1560328471216679e+07 -9.0555083413534299e+07 -8.9494906393170118e+07 -8.8403643072198629e+07 -8.7320345401217535e+07 -8.6285509797992602e+07 -8.5396844170874909e+07 -8.4758206449836537e+07 -8.4532481574600279e+07 -8.4944485823166385e+07 -8.6333024518983617e+07 -8.9210810422573000e+07 -9.4391923587597176e+07 -1.0321494187006535e+08 3.1049344971930438e+08 +1.7941980660220032e+00 -2.4947396671813062e+08 -2.4941240596375197e+08 -2.4931208419109073e+08 -2.4918457633326611e+08 -2.4906316705126148e+08 -2.4899845693910655e+08 -2.4901243801382390e+08 -2.4906716260670474e+08 -2.4912476132335314e+08 -2.4917830172055891e+08 -2.4923305267667642e+08 -2.4929027509046447e+08 -2.4934976133819044e+08 -2.4941204819423029e+08 -2.4947818443201634e+08 -2.4954910962931985e+08 -2.4962604729377672e+08 -2.4971072318196502e+08 -2.4980521306822559e+08 -2.4991187660382831e+08 -2.5003342477570775e+08 -2.5017284941280904e+08 -2.5033282203783697e+08 -2.5051748116945791e+08 -2.5073976458366212e+08 -2.5100902356684476e+08 -2.5132664011394837e+08 -2.5169769783886343e+08 -2.5213067548271856e+08 -2.5263568758044201e+08 -2.5322427587696081e+08 -2.5390948272560233e+08 -2.5470593604338869e+08 -2.5562989799876782e+08 -2.5669926190131190e+08 -2.5793340640671894e+08 -2.5935292967461300e+08 -2.6097913589042380e+08 -2.6283324886709410e+08 -2.6493513972415674e+08 -2.6748876568217626e+08 -2.7036099461915094e+08 -2.7355245353111696e+08 -2.7704425665374631e+08 -2.8078912100258613e+08 -2.8470040331395370e+08 -2.8863954682634163e+08 -2.9240331543013269e+08 -2.9571397262006378e+08 -2.9821590233177447e+08 -2.9949529692963976e+08 -2.9909134105644530e+08 -2.9655080328890270e+08 -2.9154852556283784e+08 -2.8391577345860845e+08 -2.7372281236160600e+08 -2.6128252406452158e+08 -2.4711682019415286e+08 -2.3187607780024761e+08 -2.1622127014935908e+08 -2.0076668260144880e+08 -1.8599019443662143e+08 -1.7224980743131471e+08 -1.5974694573576614e+08 -1.4859542144985244e+08 -1.3882473520661661e+08 -1.3039464780160353e+08 -1.2325685964196761e+08 -1.1732597641012236e+08 -1.1250114710795881e+08 -1.0869575789699876e+08 -1.0577894640486164e+08 -1.0363636455428605e+08 -1.0213311171728016e+08 -1.0112482982869196e+08 -1.0048857667254029e+08 -1.0008752618118849e+08 -9.9818594011476234e+07 -9.9621792117194578e+07 -9.9500990083851799e+07 -9.9385016733241215e+07 -9.9269269450101495e+07 -9.9149006186927482e+07 -9.9025235845506519e+07 -9.8898241579043150e+07 -9.8752075166805089e+07 -9.8603062998250946e+07 -9.8443512694006309e+07 -9.8270469004379988e+07 -9.8081623828239068e+07 -9.7874173223785296e+07 -9.7644957766190186e+07 -9.7393469700183436e+07 -9.7100261692357063e+07 -9.6782567565596744e+07 -9.6426247699343383e+07 -9.6026115673925057e+07 -9.5576591170572579e+07 -9.5071918086642623e+07 -9.4506324013546437e+07 -9.3877308325674266e+07 -9.3166524780950293e+07 -9.2388570273728356e+07 -9.1534599946322292e+07 -9.0606591547381297e+07 -8.9611827733508587e+07 -8.8562703922876611e+07 -8.7482817399400413e+07 -8.6410853493780911e+07 -8.5386688081945032e+07 -8.4507289239449456e+07 -8.3875313689899102e+07 -8.3651988728568792e+07 -8.4059711483326957e+07 -8.5433776807974190e+07 -8.8281577068485022e+07 -9.3408772237977579e+07 -1.0213972257610595e+08 3.1122608203176230e+08 +1.7991663887962612e+00 -2.5005136829910949e+08 -2.4998986742106828e+08 -2.4988964712913525e+08 -2.4976227024508905e+08 -2.4964098083812156e+08 -2.4957633028163108e+08 -2.4959028966807744e+08 -2.4964494748740640e+08 -2.4970247332760888e+08 -2.4975594002534613e+08 -2.4981061112146452e+08 -2.4986774530923709e+08 -2.4992713402101386e+08 -2.4998931270067188e+08 -2.5005532739420390e+08 -2.5012611530480820e+08 -2.5020289666486415e+08 -2.5028739309062484e+08 -2.5038167537711218e+08 -2.5048809734049049e+08 -2.5060936306973523e+08 -2.5074845640271515e+08 -2.5090803937356460e+08 -2.5109223494286680e+08 -2.5131395306217289e+08 -2.5158252557954338e+08 -2.5189932271222404e+08 -2.5226940686429238e+08 -2.5270122695129707e+08 -2.5320486061397564e+08 -2.5379180467270184e+08 -2.5447504657232174e+08 -2.5526914681984553e+08 -2.5619028449526033e+08 -2.5725625011050355e+08 -2.5848629457729045e+08 -2.5990085684952232e+08 -2.6152104213974792e+08 -2.6336782525902236e+08 -2.6546076552244017e+08 -2.6800252064458823e+08 -2.7085994810755748e+08 -2.7403291065298641e+08 -2.7750157320027077e+08 -2.8121749483191270e+08 -2.8509265748465705e+08 -2.8898693618504357e+08 -2.9269541186932403e+08 -2.9593871293393046e+08 -2.9835991028336871e+08 -2.9954461409896034e+08 -2.9903253345977753e+08 -2.9637246205621088e+08 -2.9124309379753113e+08 -2.8348098733916378e+08 -2.7316245956796420e+08 -2.6060621769791767e+08 -2.4633874771927050e+08 -2.3101312011248487e+08 -2.1529091032112798e+08 -1.9978537927608693e+08 -1.8497220732358968e+08 -1.7120679137001708e+08 -1.5868784173411483e+08 -1.4752683292751127e+08 -1.3775132522070155e+08 -1.2931951992910708e+08 -1.2218201942815588e+08 -1.1625265118994442e+08 -1.1142997322231518e+08 -1.0762705179829887e+08 -1.0471274547219048e+08 -1.0257257811706853e+08 -1.0107154543885709e+08 -1.0006529519784430e+08 -9.9430934487263992e+07 -9.9031633709860742e+07 -9.8764344027999714e+07 -9.8569164851257950e+07 -9.8449534037501872e+07 -9.8334751229302064e+07 -9.8220222147553802e+07 -9.8101236144365653e+07 -9.7978783836890668e+07 -9.7853189327089503e+07 -9.7708440548398718e+07 -9.7561014637906522e+07 -9.7403161908650815e+07 -9.7231958333407670e+07 -9.7045120191824272e+07 -9.6839873169677287e+07 -9.6613091218034029e+07 -9.6364317861636162e+07 -9.6074083368951961e+07 -9.5759757873385385e+07 -9.5407214735696137e+07 -9.5011322325870216e+07 -9.4566559288754106e+07 -9.4067230327656090e+07 -9.3507624026584759e+07 -9.2885310421302781e+07 -9.2181917870948836e+07 -9.1412195558971763e+07 -9.0567260567499325e+07 -8.9649069748910949e+07 -8.8664828760932967e+07 -8.7626802012015209e+07 -8.6558337422560230e+07 -8.5497752197831124e+07 -8.4484299458888903e+07 -8.3614204163586229e+07 -8.2988917211855307e+07 -8.2768001627455503e+07 -8.3171425884813190e+07 -8.4530960413662806e+07 -8.7348656046838790e+07 -9.2421719188537583e+07 -1.0106023643266623e+08 3.1195510861247367e+08 +1.8041347115705193e+00 -2.5062356494380209e+08 -2.5056212449554655e+08 -2.5046201096838263e+08 -2.5033476138419810e+08 -2.5021359167350984e+08 -2.5014899962723714e+08 -2.5016293745987549e+08 -2.5021752792952463e+08 -2.5027498002877447e+08 -2.5032837193471584e+08 -2.5038296193307188e+08 -2.5044000640814182e+08 -2.5049929586027056e+08 -2.5056136429513946e+08 -2.5062725501575482e+08 -2.5069790278066802e+08 -2.5077452445538682e+08 -2.5085883743262121e+08 -2.5095290740358016e+08 -2.5105908222178039e+08 -2.5118005892076880e+08 -2.5131881316263732e+08 -2.5147799725257105e+08 -2.5166171819127589e+08 -2.5188285756268549e+08 -2.5215072745478448e+08 -2.5246668604189253e+08 -2.5283577407205603e+08 -2.5326641005890417e+08 -2.5376863406622794e+08 -2.5435389719400382e+08 -2.5503513105630293e+08 -2.5582682768201798e+08 -2.5674508183075029e+08 -2.5780757979858825e+08 -2.5903344313080499e+08 -2.6044294973097587e+08 -2.6205700375780675e+08 -2.6389632870037439e+08 -2.6598016952631971e+08 -2.6850986788951391e+08 -2.7135227761101836e+08 -2.7450649378147399e+08 -2.7795172909275687e+08 -2.8163838287587595e+08 -2.8547706244478106e+08 -2.8932607804175544e+08 -2.9297883591664737e+08 -2.9615434422416258e+08 -2.9849438379781252e+08 -2.9958401397440779e+08 -2.9896350630656135e+08 -2.9618371947523713e+08 -2.9092723300348759e+08 -2.8303591768853676e+08 -2.7259213916130525e+08 -2.5992040480678710e+08 -2.4555173232943216e+08 -2.3014183556554794e+08 -2.1435284504896095e+08 -1.9879696044475526e+08 -1.8394763952270824e+08 -1.7015766285663840e+08 -1.5762302477205384e+08 -1.4645286582710201e+08 -1.3667281253867176e+08 -1.2823951441257066e+08 -1.2110248315151764e+08 -1.1517477488887316e+08 -1.1035436249523979e+08 -1.0655399729542807e+08 -1.0364226323009594e+08 -1.0150455986620881e+08 -1.0000578268485932e+08 -9.9001588675943464e+07 -9.8369137170340538e+07 -9.7971597760027081e+07 -9.7705959259143174e+07 -9.7512410024554715e+07 -9.7393955232467920e+07 -9.7280367709626541e+07 -9.7167061623319790e+07 -9.7049357883774951e+07 -9.6928228766782105e+07 -9.6804039431228563e+07 -9.6660714001052275e+07 -9.6514880553988785e+07 -9.6358732041663393e+07 -9.6189375781791747e+07 -9.6004552530240759e+07 -9.5801517716727570e+07 -9.5577178798828959e+07 -9.5331130726077154e+07 -9.5043881561490223e+07 -9.4732937891434819e+07 -9.4384186276978835e+07 -9.3992550092279896e+07 -9.3552567177283987e+07 -9.3058603279812038e+07 -9.2505008215364709e+07 -9.1889422903636605e+07 -9.1193450475482121e+07 -9.0431992623186618e+07 -8.9596128381138563e+07 -8.8687793623935729e+07 -8.7714116708098873e+07 -8.6687230519067153e+07 -8.5630232635754943e+07 -8.4581070644662187e+07 -8.3578372717984542e+07 -8.2717617435481280e+07 -8.2099045294559598e+07 -8.1880548473359972e+07 -8.2279657367081016e+07 -8.3624604139031067e+07 -8.6412077121132508e+07 -9.1430795929814860e+07 -9.9976517878412694e+07 3.1268052294995362e+08 +1.8091030343447774e+00 -2.5119053201624635e+08 -2.5112915296264824e+08 -2.5102913915278736e+08 -2.5090202159557277e+08 -2.5078097240530458e+08 -2.5071643974504828e+08 -2.5073035452536452e+08 -2.5078487724964872e+08 -2.5084225462058124e+08 -2.5089557068534696e+08 -2.5095007832587242e+08 -2.5100703159856129e+08 -2.5106622007125327e+08 -2.5112817618714187e+08 -2.5119394050743508e+08 -2.5126444526374099e+08 -2.5134090387073442e+08 -2.5142502941041702e+08 -2.5151888234949633e+08 -2.5162480444735390e+08 -2.5174548552634987e+08 -2.5188389288890600e+08 -2.5204266886939517e+08 -2.5222590410830936e+08 -2.5244645127761614e+08 -2.5271360238320020e+08 -2.5302870329200679e+08 -2.5339677265117255e+08 -2.5382619799545166e+08 -2.5432698112868315e+08 -2.5491052663678524e+08 -2.5558970938151312e+08 -2.5637895184726712e+08 -2.5729426324336657e+08 -2.5835322423473769e+08 -2.5957482538293567e+08 -2.6097918170148623e+08 -2.6258699422437567e+08 -2.6441873280966574e+08 -2.6649332555007380e+08 -2.6901078153038055e+08 -2.7183795766994321e+08 -2.7497317806072628e+08 -2.7839470032142609e+08 -2.8205176229915279e+08 -2.8585359696954656e+08 -2.8965695334649652e+08 -2.9325357140592563e+08 -2.9636085406057417e+08 -2.9861931514502376e+08 -2.9961349452750880e+08 -2.9888426418235880e+08 -2.9598458739939082e+08 -2.9060096252411169e+08 -2.8258059101008701e+08 -2.7201188392115837e+08 -2.5922512313435087e+08 -2.4475581521318859e+08 -2.2926226731298503e+08 -2.1340711820261008e+08 -1.9780146976818153e+08 -1.8291653389308560e+08 -1.6910246363634521e+08 -1.5655253537537301e+08 -1.4537355948073974e+08 -1.3558923539967808e+08 -1.2715466853374670e+08 -1.2001828728101717e+08 -1.1409238330165143e+08 -1.0927435017455612e+08 -1.0547662920085284e+08 -1.0256753415224557e+08 -1.0043234401715182e+08 -9.8935857479842305e+07 -9.7933744147993371e+07 -9.7303218504226580e+07 -9.6907452036773071e+07 -9.6643473347449213e+07 -9.6451561223993391e+07 -9.6334287217329159e+07 -9.6221899684580997e+07 -9.6109821348672852e+07 -9.5993404835838154e+07 -9.5873604023865953e+07 -9.5750825235562921e+07 -9.5608928823054001e+07 -9.5464693994423747e+07 -9.5310256286748379e+07 -9.5142754484513208e+07 -9.4959953914598033e+07 -9.4759139865681723e+07 -9.4537253431833938e+07 -9.4293941130464792e+07 -9.4009689011537805e+07 -9.3702140253885373e+07 -9.3357194836745411e+07 -9.2969831351676062e+07 -9.2534647062837943e+07 -9.2046068999134555e+07 -9.1498508444784835e+07 -9.0889677423989356e+07 -9.0201154009692147e+07 -8.9447992618749201e+07 -8.8621234251648858e+07 -8.7722793723443255e+07 -8.6759721790350139e+07 -8.5744019305349216e+07 -8.4698532535885260e+07 -8.3660837968300879e+07 -8.2668936650966167e+07 -8.1817557550165549e+07 -8.1205726219719574e+07 -8.0989657471335486e+07 -8.1384434272206411e+07 -8.2714736789768532e+07 -8.5471870057551742e+07 -9.0436033955276877e+07 -9.8888601355450198e+07 3.1340231867194051e+08 +1.8140713571190354e+00 -2.5175224183854899e+08 -2.5169092335459572e+08 -2.5159101404476359e+08 -2.5146402663898790e+08 -2.5134309772225600e+08 -2.5127862437838790e+08 -2.5129251473677415e+08 -2.5134696891628700e+08 -2.5140427052247468e+08 -2.5145750973213544e+08 -2.5151193373506221e+08 -2.5156879431395698e+08 -2.5162788009083048e+08 -2.5168972180989781e+08 -2.5175535730229032e+08 -2.5182571618351439e+08 -2.5190200833905935e+08 -2.5198594245028922e+08 -2.5207957364039397e+08 -2.5218523744056123e+08 -2.5230561630886647e+08 -2.5244366900240815e+08 -2.5260202764419785e+08 -2.5278476611296663e+08 -2.5300470762520930e+08 -2.5327112378309587e+08 -2.5358534788076949e+08 -2.5395237602073768e+08 -2.5438056418203804e+08 -2.5487987522623193e+08 -2.5546166643286321e+08 -2.5613875499026063e+08 -2.5692549277391732e+08 -2.5783780221526414e+08 -2.5889315693677971e+08 -2.6011041490240368e+08 -2.6150952640365896e+08 -2.6311098728511071e+08 -2.6493501147884473e+08 -2.6700020769018024e+08 -2.6950523597413635e+08 -2.7231696313105983e+08 -2.7543293895617193e+08 -2.7883046321595299e+08 -2.8245761062527102e+08 -2.8622224021404076e+08 -2.8997954345151013e+08 -2.9351960259548581e+08 -2.9655823045822710e+08 -2.9873469705652285e+08 -2.9963305419950801e+08 -2.9879481213855028e+08 -2.9577507813036370e+08 -2.9026430211620498e+08 -2.8211503417320549e+08 -2.7142172693513745e+08 -2.5852041066931009e+08 -2.4395103774414641e+08 -2.2837445864261729e+08 -2.1245377374318913e+08 -1.9679895096649694e+08 -1.8187893333184424e+08 -1.6804123547815457e+08 -1.5547641408392400e+08 -1.4428895322966924e+08 -1.3450063204848573e+08 -1.2606501957825691e+08 -1.1892946828846434e+08 -1.1300551222557808e+08 -1.0818997151038146e+08 -1.0439498232942012e+08 -1.0148859271432647e+08 -9.9355964787999451e+07 -9.7861803850968659e+07 -9.6861795501484692e+07 -9.6233212273907974e+07 -9.5839230247438222e+07 -9.5576919937952176e+07 -9.5386652038938388e+07 -9.5270563543072715e+07 -9.5159380666892290e+07 -9.5048534797316328e+07 -9.4933410433540002e+07 -9.4814942999007225e+07 -9.4693580086621374e+07 -9.4553118315239772e+07 -9.4410488209248558e+07 -9.4257767840042099e+07 -9.4092127579084009e+07 -9.3911357418240279e+07 -9.3712772619660094e+07 -9.3493348042604044e+07 -9.3252781913736120e+07 -9.2971538462673694e+07 -9.2667397596892089e+07 -9.2326272930751458e+07 -9.1943198484415933e+07 -9.1512831174011707e+07 -9.1029659543772489e+07 -9.0488156582118049e+07 -8.9886105636009619e+07 -8.9205059890713200e+07 -8.8460226700308979e+07 -8.7642609045167148e+07 -8.6754100600524008e+07 -8.5801674225144729e+07 -8.4797198234119728e+07 -8.3763266621926203e+07 -8.2737083304677069e+07 -8.1756020051648185e+07 -8.0914053004625291e+07 -8.0308988270895481e+07 -8.0095356828239143e+07 -8.0485784944293380e+07 -8.1801387173567772e+07 -8.4528064624318331e+07 -8.9437464760641083e+07 -9.7796521308202088e+07 3.1412048954467976e+08 +1.8190396798932935e+00 -2.5230866970943621e+08 -2.5224740975056481e+08 -2.5214760421004128e+08 -2.5202074870992079e+08 -2.5189994074831486e+08 -2.5183552596353322e+08 -2.5184939194293857e+08 -2.5190377652747849e+08 -2.5196100137308156e+08 -2.5201416273804414e+08 -2.5206850181891057e+08 -2.5212526820935687e+08 -2.5218424957735977e+08 -2.5224597481934208e+08 -2.5231147905689320e+08 -2.5238168919327432e+08 -2.5245781151212272e+08 -2.5254155020193276e+08 -2.5263495492571270e+08 -2.5274035484924436e+08 -2.5286042491522434e+08 -2.5299811514974675e+08 -2.5315604722275633e+08 -2.5333827785137236e+08 -2.5355760025164944e+08 -2.5382326530068049e+08 -2.5413659345568219e+08 -2.5450255783028784e+08 -2.5492948227195999e+08 -2.5542729001828131e+08 -2.5600729025008044e+08 -2.5668224156340066e+08 -2.5746642416216233e+08 -2.5837567247422743e+08 -2.5942735167154929e+08 -2.6064018551192626e+08 -2.6203395773842219e+08 -2.6362895695160639e+08 -2.6544513887366128e+08 -2.6750079032629636e+08 -2.6999320592202169e+08 -2.7278926914854664e+08 -2.7588575225593758e+08 -2.7925899444511825e+08 -2.8285590573644799e+08 -2.8658297171295679e+08 -2.9029383011168110e+08 -2.9377691416891366e+08 -2.9674646187707669e+08 -2.9884052272405928e+08 -2.9964269189987642e+08 -2.9869515569092500e+08 -2.9555520441474259e+08 -2.8991727194773191e+08 -2.8163927440973651e+08 -2.7082170159450799e+08 -2.5780630564154896e+08 -2.4313744147873804e+08 -2.2747845297164062e+08 -2.1149285572055963e+08 -1.9578944781820747e+08 -1.8083488077196166e+08 -1.6697402017252901e+08 -1.5439470145088753e+08 -1.4319908642200348e+08 -1.3340704073438975e+08 -1.2497060483466890e+08 -1.1783606264805372e+08 -1.1191419745943066e+08 -1.0710126175408281e+08 -1.0330909149691851e+08 -1.0040547339351679e+08 -9.8275456397939071e+07 -9.6783655826407850e+07 -9.5785776625162169e+07 -9.5159152265485704e+07 -9.4766966100753531e+07 -9.4506332676950738e+07 -9.4317716060036391e+07 -9.4202817762124464e+07 -9.4092844170464173e+07 -9.3983235444313899e+07 -9.3869408110989660e+07 -9.3752279084358931e+07 -9.3632337332176089e+07 -9.3493315779558808e+07 -9.3352296450033218e+07 -9.3201299898875892e+07 -9.3037528204015583e+07 -9.2858796115861520e+07 -9.2662448983088985e+07 -9.2445495557777658e+07 -9.2207685916352347e+07 -9.1929462659985840e+07 -9.1628742558140680e+07 -9.1291453076120943e+07 -9.0912683872516736e+07 -9.0487151740755662e+07 -9.0009406973229468e+07 -8.9473984495721921e+07 -8.8878739194407284e+07 -8.8205199537064925e+07 -8.7468726023726478e+07 -8.6660283629490361e+07 -8.5781744809558690e+07 -8.4840004231034055e+07 -8.3846797170001820e+07 -8.2824464393857941e+07 -8.1809835791101173e+07 -8.0839651714930728e+07 -8.0007132296861306e+07 -7.9408859732748494e+07 -7.9197674752152592e+07 -7.9583737728648201e+07 -8.0884584099339500e+07 -8.3580690590901434e+07 -8.8435119842935994e+07 -9.6700312182368755e+07 3.1483502947220898e+08 +1.8240080026675516e+00 -2.5285978658848789e+08 -2.5279858767612782e+08 -2.5269888824143445e+08 -2.5257216101267961e+08 -2.5245147368929109e+08 -2.5238711876653063e+08 -2.5240095994429997e+08 -2.5245527388312981e+08 -2.5251242102981496e+08 -2.5256550357553297e+08 -2.5261975645917180e+08 -2.5267642716185561e+08 -2.5273530241221035e+08 -2.5279690909598714e+08 -2.5286227965177888e+08 -2.5293233817084429e+08 -2.5300828726641721e+08 -2.5309182654049829e+08 -2.5318500007984635e+08 -2.5329013054705545e+08 -2.5340988521864781e+08 -2.5354720520311332e+08 -2.5370470147787079e+08 -2.5388641319611248e+08 -2.5410510303078038e+08 -2.5437000081165019e+08 -2.5468241389453793e+08 -2.5504729196116430e+08 -2.5547292615135068e+08 -2.5596919939836735e+08 -2.5654737199320316e+08 -2.5722014302145541e+08 -2.5800171995438460e+08 -2.5890784799349847e+08 -2.5995578245576578e+08 -2.6116411128908616e+08 -2.6255244986752644e+08 -2.6414087750270024e+08 -2.6594908943396229e+08 -2.6799504812102473e+08 -2.7047466636929524e+08 -2.7325485118348116e+08 -2.7633159407025796e+08 -2.7968027101690626e+08 -2.8324662587337309e+08 -2.8693577138077813e+08 -2.9059979548321557e+08 -2.9402549123299474e+08 -2.9692553722067589e+08 -2.9893678579854810e+08 -2.9964240700393105e+08 -2.9858530081562030e+08 -2.9532497944131476e+08 -2.8955989259430933e+08 -2.8115333930975461e+08 -2.7021184159028023e+08 -2.5708284651955172e+08 -2.4231506815203616e+08 -2.2657429384604713e+08 -2.1052440827133802e+08 -1.9477300415705782e+08 -1.7978441918129671e+08 -1.6590085953057539e+08 -1.5330743804070580e+08 -1.4210399841304025e+08 -1.3230849971037814e+08 -1.2387146159342031e+08 -1.1673810683460183e+08 -1.1081847480284818e+08 -1.0600825615789333e+08 -1.0221899152010913e+08 -9.9318210667135730e+07 -9.7190853066737980e+07 -9.5701447435125917e+07 -9.4705721408099115e+07 -9.4081072265564159e+07 -9.3690693305830255e+07 -9.3431745211061567e+07 -9.3244786878331691e+07 -9.3131083427041918e+07 -9.3022323709640175e+07 -9.2913956764972761e+07 -9.2801431302994192e+07 -9.2685645672543257e+07 -9.2567130320376053e+07 -9.2429554518498182e+07 -9.2290151968541607e+07 -9.2140885660914674e+07 -9.1978989498547927e+07 -9.1802303082560018e+07 -9.1608201960676059e+07 -9.1393728904635176e+07 -9.1158685979043961e+07 -9.0883494348932117e+07 -9.0586207775477469e+07 -9.0252767790302560e+07 -8.9878319898162171e+07 -8.9457640993488878e+07 -8.8985343347301379e+07 -8.8456024054440141e+07 -8.7867609754365459e+07 -8.7201604367564321e+07 -8.6473521745094448e+07 -8.5674288872356817e+07 -8.4805756905128479e+07 -8.3874742026983008e+07 -8.2892845977819145e+07 -8.1882155352182329e+07 -8.0879124565071702e+07 -7.9919860436026856e+07 -7.9096823925394863e+07 -7.8505368890334636e+07 -7.8296639451262280e+07 -7.8678320970622808e+07 -7.9964356376143485e+07 -8.2629777727089062e+07 -8.7429030699326932e+07 -9.5600008424199328e+07 3.1554593249564207e+08 +1.8289763254418097e+00 -2.5340556899979138e+08 -2.5334442764743653e+08 -2.5324483613981664e+08 -2.5311824168061396e+08 -2.5299767282002604e+08 -2.5293337623974064e+08 -2.5294719264680943e+08 -2.5300143507373145e+08 -2.5305850358219901e+08 -2.5311150633290902e+08 -2.5316567176285449e+08 -2.5322224527314919e+08 -2.5328101269996017e+08 -2.5334249874484259e+08 -2.5340773319150636e+08 -2.5347763721857309e+08 -2.5355340970418113e+08 -2.5363674556619096e+08 -2.5372968320301464e+08 -2.5383453863301268e+08 -2.5395397131822336e+08 -2.5409091326168892e+08 -2.5424796450928691e+08 -2.5442914624854714e+08 -2.5464719006537309e+08 -2.5491130442083567e+08 -2.5522278330541912e+08 -2.5558655252629048e+08 -2.5601086994003987e+08 -2.5650557749566951e+08 -2.5708188580440551e+08 -2.5775243352444252e+08 -2.5853135433550128e+08 -2.5943430299301228e+08 -2.6047842355664137e+08 -2.6168216656636158e+08 -2.6306497721346447e+08 -2.6464672348413616e+08 -2.6644683787500083e+08 -2.6848295602068681e+08 -2.7094959260628361e+08 -2.7371368500497007e+08 -2.7677044083182341e+08 -2.8009427027957338e+08 -2.8362974963562471e+08 -2.8728061951143771e+08 -2.9089742212322009e+08 -2.9426531931686479e+08 -2.9709544583464772e+08 -2.9902348038783258e+08 -2.9963219935017294e+08 -2.9846525394820505e+08 -2.9508441683735085e+08 -2.8919218503464824e+08 -2.8065725681797320e+08 -2.6959218091043091e+08 -2.5635007200642109e+08 -2.4148395967567670e+08 -2.2566202493615097e+08 -2.0954847561634842e+08 -1.9374966387153915e+08 -1.7872759156049564e+08 -1.6482179538257563e+08 -1.5221466442845628e+08 -1.4100372856305125e+08 -1.3120504723143460e+08 -1.2276762714559048e+08 -1.1563563732300243e+08 -1.0971838005489723e+08 -1.0491098997320932e+08 -1.0112471721456806e+08 -9.8226839012144879e+07 -9.6102189013347387e+07 -9.4615212705128312e+07 -9.3621663738902286e+07 -9.2999006060062394e+07 -9.2610445571233451e+07 -9.2353191186456025e+07 -9.2167898084327519e+07 -9.2055394090066805e+07 -9.1947852798242077e+07 -9.1840732234208196e+07 -9.1729513443480849e+07 -9.1615076155741632e+07 -9.1497992398854554e+07 -9.1361867833913982e+07 -9.1224088016176865e+07 -9.1076558323484570e+07 -9.0916544601071447e+07 -9.0741911392770782e+07 -9.0550064556758940e+07 -9.0338081009778857e+07 -9.0105814942068085e+07 -8.9833666274379790e+07 -8.9539825886421740e+07 -8.9210249590368137e+07 -8.8840138943128780e+07 -8.8424331161956832e+07 -8.7957500725417227e+07 -8.7434307126639098e+07 -8.6852748970566288e+07 -8.6194305800653026e+07 -8.5474645020247027e+07 -8.4684655641217276e+07 -8.3826167441607788e+07 -8.2905917831402525e+07 -8.1935374521893039e+07 -8.0936368996862248e+07 -7.9944978763624027e+07 -7.8996675009857222e+07 -7.8183156388113379e+07 -7.7598544028209597e+07 -7.7392279133567035e+07 -7.7769563015395895e+07 -7.9040732812821433e+07 -8.1675355802136958e+07 -8.6419228826763049e+07 -9.4495644479243338e+07 3.1625319279245597e+08 +1.8339446482160677e+00 -2.5394598793477318e+08 -2.5388491139628360e+08 -2.5378542310333553e+08 -2.5365895919347715e+08 -2.5353851128052321e+08 -2.5347427334615451e+08 -2.5348806429949975e+08 -2.5354223450715467e+08 -2.5359922336983651e+08 -2.5365214532608208e+08 -2.5370622206152016e+08 -2.5376269687166271e+08 -2.5382135476921573e+08 -2.5388271809651113e+08 -2.5394781400585586e+08 -2.5401756066498819e+08 -2.5409315315235576e+08 -2.5417628160568333e+08 -2.5426897862118599e+08 -2.5437355343292156e+08 -2.5449265753986964e+08 -2.5462921365210852e+08 -2.5478581064489457e+08 -2.5496645133802336e+08 -2.5518383568750703e+08 -2.5544715046334353e+08 -2.5575767602825728e+08 -2.5612031387127039e+08 -2.5654328799198905e+08 -2.5703639867553395e+08 -2.5761080606385031e+08 -2.5827908747333479e+08 -2.5905530173467165e+08 -2.5995501193929923e+08 -2.6099524949265689e+08 -2.6219432593214774e+08 -2.6357151446020773e+08 -2.6514646970947328e+08 -2.6693835918700585e+08 -2.6896448925659573e+08 -2.7141796021857291e+08 -2.7416574669019353e+08 -2.7720226929711294e+08 -2.8050096992105716e+08 -2.8400525598144078e+08 -2.8761749677792293e+08 -2.9118669299029970e+08 -2.9449638437287170e+08 -2.9725617750656897e+08 -2.9910060105505353e+08 -2.9961206923900682e+08 -2.9833502197953129e+08 -2.9483353066682190e+08 -2.8881417064822787e+08 -2.8015105523083478e+08 -2.6896275383566570e+08 -2.5560802103675765e+08 -2.4064415813410136e+08 -2.2474169003526363e+08 -2.0856510205868801e+08 -1.9271947090175205e+08 -1.7766444094143000e+08 -1.6373686957614261e+08 -1.5111642119820830e+08 -1.3989831623598558e+08 -1.3009672155385144e+08 -1.2165913878210728e+08 -1.1452869058736561e+08 -1.0861394901334351e+08 -1.0380949844999197e+08 -1.0002630339476624e+08 -9.7131392903987005e+07 -9.5009498455372676e+07 -9.3524985663036734e+07 -9.2533637504676506e+07 -9.1912987433713645e+07 -9.1526256604142040e+07 -9.1270704247713968e+07 -9.1087083267077357e+07 -9.0975783301910043e+07 -9.0869464948672235e+07 -9.0763595325428009e+07 -9.0653687965186432e+07 -9.0540603924451172e+07 -9.0424956913694784e+07 -9.0290289026332408e+07 -9.0154137842810363e+07 -9.0008351082261756e+07 -8.9850226648756236e+07 -8.9677654119652733e+07 -8.9488069774133444e+07 -8.9278584798424423e+07 -8.9049105644246101e+07 -8.8780011179641590e+07 -8.8489629526942566e+07 -8.8163930991720229e+07 -8.7798173387644991e+07 -8.7387254474545956e+07 -8.6925911165495977e+07 -8.6408865579144388e+07 -8.5834188496254250e+07 -8.5183335253192052e+07 -8.4472127003509104e+07 -8.3691414802206203e+07 -8.2843006971741751e+07 -8.1933561861469537e+07 -8.0974412665361464e+07 -7.9987134826505795e+07 -7.9007427522569209e+07 -7.8070124229811102e+07 -7.7266158181763276e+07 -7.6688413429732412e+07 -7.6484622005630180e+07 -7.6857492206831157e+07 -7.8113742216747746e+07 -8.0717454584149212e+07 -8.5405745720580339e+07 -9.3387254791643083e+07 3.1695680467577863e+08 +1.8389129709903258e+00 -2.5448102165970901e+08 -2.5442000540238252e+08 -2.5432062283539042e+08 -2.5419428848439887e+08 -2.5407396342516088e+08 -2.5400978501875076e+08 -2.5402354929726437e+08 -2.5407764683914840e+08 -2.5413455498912743e+08 -2.5418739510582435e+08 -2.5424138191297823e+08 -2.5429775651441228e+08 -2.5435630317368412e+08 -2.5441754170692897e+08 -2.5448249665053827e+08 -2.5455208306485641e+08 -2.5462749216568866e+08 -2.5471040921212885e+08 -2.5480286088765344e+08 -2.5490714950033981e+08 -2.5502591843789545e+08 -2.5516208092919689e+08 -2.5531821444106972e+08 -2.5549830302359891e+08 -2.5571501445927310e+08 -2.5597751350594932e+08 -2.5628706663467568e+08 -2.5664855057576764e+08 -2.5707015489608994e+08 -2.5756163753953123e+08 -2.5813410739096633e+08 -2.5880007951049209e+08 -2.5957353682471895e+08 -2.6046994954683879e+08 -2.6150623503363916e+08 -2.6270056423116687e+08 -2.6407203655331683e+08 -2.6564009126107669e+08 -2.6742362863675898e+08 -2.6943962334389710e+08 -2.7187974508767915e+08 -2.7461101262515318e+08 -2.7762705654473227e+08 -2.8090034796903843e+08 -2.8437312422746575e+08 -2.8794638423252553e+08 -2.9146759144285637e+08 -2.9471867277354586e+08 -2.9740772246314561e+08 -2.9916814281716770e+08 -2.9958201743013889e+08 -2.9819461225400484e+08 -2.9457233542557669e+08 -2.8842587121161979e+08 -2.7963476319257826e+08 -2.6832359493623704e+08 -2.5485673277372336e+08 -2.3979570578206381e+08 -2.2381333305700642e+08 -2.0757433198100954e+08 -1.9168246923838881e+08 -1.7659501038566414e+08 -1.6264612397540534e+08 -1.5001274894189954e+08 -1.3878780079943639e+08 -1.2898356093442421e+08 -1.2054603379272629e+08 -1.1341730309947059e+08 -1.0750521747363414e+08 -1.0270381683560660e+08 -9.8923784872485548e+07 -9.6031906815270945e+07 -9.3912815607876524e+07 -9.2430800333159775e+07 -9.1441676590038821e+07 -9.0823050168504581e+07 -9.0438160109132856e+07 -9.0184318037173659e+07 -9.0002376013207600e+07 -8.9892284610869065e+07 -8.9787193670963287e+07 -8.9682579509497479e+07 -8.9573988298243120e+07 -8.9462262366887614e+07 -8.9348057208851948e+07 -8.9214851393693715e+07 -8.9080334695841104e+07 -8.8936297130614474e+07 -8.8780068776237503e+07 -8.8609564333886236e+07 -8.8422250613202214e+07 -8.8215273193450242e+07 -8.7988590922053695e+07 -8.7722561805943638e+07 -8.7435651330656692e+07 -8.7113844507555485e+07 -8.6752455609571889e+07 -8.6346443157433242e+07 -8.5890606723115563e+07 -8.5379731276558712e+07 -8.4811959982464388e+07 -8.4168724140018046e+07 -8.3465998846833989e+07 -8.2694597219155326e+07 -8.1856306046115354e+07 -8.0957704332082823e+07 -8.0009990269195050e+07 -7.9034482337736577e+07 -7.8066499975608617e+07 -7.7140236887478918e+07 -7.6345857800986931e+07 -7.5775005376086876e+07 -7.5573696272137910e+07 -7.5942136886710420e+07 -7.7183413393295377e+07 -7.9756103838793293e+07 -8.4388612873960182e+07 -9.2274873802968815e+07 3.1765676259367585e+08 +1.8438812937645839e+00 -2.5501064344692746e+08 -2.5494968835856783e+08 -2.5485041136956331e+08 -2.5472420978091434e+08 -2.5460400460763368e+08 -2.5453988556259885e+08 -2.5455362242639038e+08 -2.5460764687577984e+08 -2.5466447328362739e+08 -2.5471723046099189e+08 -2.5477112610094452e+08 -2.5482739899036822e+08 -2.5488583269216558e+08 -2.5494694435902122e+08 -2.5501175590716413e+08 -2.5508117920002148e+08 -2.5515640152523601e+08 -2.5523910316662058e+08 -2.5533130478330141e+08 -2.5543530161597773e+08 -2.5555372879439169e+08 -2.5568948987604222e+08 -2.5584515068378046e+08 -2.5602467609386709e+08 -2.5624070117367637e+08 -2.5650236834614536e+08 -2.5681092992919093e+08 -2.5717123745249462e+08 -2.5759144547698423e+08 -2.5808126892706978e+08 -2.5865176464428812e+08 -2.5931538451988006e+08 -2.6008603452372891e+08 -2.6097909077837583e+08 -2.6201135520216590e+08 -2.6320085656553605e+08 -2.6456651870145053e+08 -2.6612756349006265e+08 -2.6790262176697907e+08 -2.6990833408336645e+08 -2.7233492339099270e+08 -2.7504945950467861e+08 -2.7804477997791940e+08 -2.8129238279183662e+08 -2.8473333404959553e+08 -2.8826726330605382e+08 -2.9174010123928833e+08 -2.9493217131251705e+08 -2.9755007137041247e+08 -2.9922610114355081e+08 -2.9954204514039475e+08 -2.9804403256632835e+08 -2.9430084603996146e+08 -2.8802730889477742e+08 -2.7910840969127578e+08 -2.6767473906800812e+08 -2.5409624660509154e+08 -2.3893864504139954e+08 -2.2287699803095299e+08 -2.0657620984413415e+08 -1.9063870292042106e+08 -1.7551934298305023e+08 -1.6154960045909443e+08 -1.4890368825810096e+08 -1.3767222162226310e+08 -1.2786560362862788e+08 -1.1942834946454844e+08 -1.1230151132824631e+08 -1.0639222122773370e+08 -1.0159398037431207e+08 -9.7817196456045613e+07 -9.4928415215630785e+07 -9.2812174682506621e+07 -9.1332690736209795e+07 -9.0345814876294047e+07 -8.9729228043176398e+07 -8.9346189787522078e+07 -8.9094066193704247e+07 -8.8913809905988067e+07 -8.8804931561883613e+07 -8.8701072471537173e+07 -8.8597718254222736e+07 -8.8490447869700268e+07 -8.8380084868033558e+07 -8.8267326624708802e+07 -8.8135588230843782e+07 -8.8002711819616228e+07 -8.7860429658571705e+07 -8.7706104114926785e+07 -8.7537675102813542e+07 -8.7352640071161747e+07 -8.7148179114414915e+07 -8.6924303608666033e+07 -8.6661350891053304e+07 -8.6377923928024575e+07 -8.6060022648015559e+07 -8.5703017983891189e+07 -8.5301929433431834e+07 -8.4851619450739935e+07 -8.4346936080471769e+07 -8.3786095077093601e+07 -8.3150503872565359e+07 -8.2456291699433386e+07 -8.1694233752833605e+07 -8.0866095212512091e+07 -7.9978375455271244e+07 -7.9042137191341043e+07 -7.8078441024079219e+07 -7.7122225253547996e+07 -7.6207041771389902e+07 -7.5422283737669200e+07 -7.4858348145940289e+07 -7.4659530134825036e+07 -7.5023525393995032e+07 -7.6249775145054370e+07 -7.8791333329197913e+07 -8.3367861776957273e+07 -9.1158535951489374e+07 3.1835306112844139e+08 +1.8488496165388419e+00 -2.5553482810274112e+08 -2.5547393631529915e+08 -2.5537476308308920e+08 -2.5524869575815699e+08 -2.5512861181497231e+08 -2.5506454969051045e+08 -2.5507825886338243e+08 -2.5513220955871174e+08 -2.5518895331781682e+08 -2.5524162641818169e+08 -2.5529542963692057e+08 -2.5535159932085451e+08 -2.5540991833050969e+08 -2.5547090106277618e+08 -2.5553556678498098e+08 -2.5560482407990757e+08 -2.5567985624057388e+08 -2.5576233847806180e+08 -2.5585428531677291e+08 -2.5595798478981894e+08 -2.5607606362040883e+08 -2.5621141550582737e+08 -2.5636659438895756e+08 -2.5654554556851035e+08 -2.5676087085483611e+08 -2.5702169001445112e+08 -2.5732924094974199e+08 -2.5768834954964122e+08 -2.5810713479530621e+08 -2.5859526791539276e+08 -2.5916375292240068e+08 -2.5982497762818760e+08 -2.6059276999515018e+08 -2.6148241084543848e+08 -2.6251058527314019e+08 -2.6369517829466045e+08 -2.6505493637575969e+08 -2.6660886201712182e+08 -2.6837531439770201e+08 -2.7037059756194758e+08 -2.7278347160269678e+08 -2.7548106433217853e+08 -2.7845541732265955e+08 -2.8167705309709585e+08 -2.8508586548185778e+08 -2.8858011580810326e+08 -2.9200420653720266e+08 -2.9513686720255208e+08 -2.9768321533173817e+08 -2.9927447195390546e+08 -2.9949215404167467e+08 -2.9788329115940768e+08 -2.9401907786203605e+08 -2.8761850625801408e+08 -2.7857202405580366e+08 -2.6701622137014887e+08 -2.5332660214017844e+08 -2.3807301849826980e+08 -2.2193272910314324e+08 -2.0557078018394667e+08 -1.8958821603312036e+08 -1.7443748184946206e+08 -1.6044734091929847e+08 -1.4778927975076756e+08 -1.3655161807406709e+08 -1.2674288789021142e+08 -1.1830612308155987e+08 -1.1118135173864862e+08 -1.0527499606348677e+08 -1.0048002430548313e+08 -9.6706572949382588e+07 -9.3820952569858193e+07 -9.1707609886545405e+07 -9.0230690888760999e+07 -8.9246086240293175e+07 -8.8631554832289502e+07 -8.8250379336504087e+07 -8.7999982352005795e+07 -8.7821418524440914e+07 -8.7713757695699602e+07 -8.7611134852889210e+07 -8.7509045022926688e+07 -8.7403100102133498e+07 -8.7294104808526009e+07 -8.7182798497497648e+07 -8.7052532828270137e+07 -8.6921302453915060e+07 -8.6780781852091834e+07 -8.6628365792056873e+07 -8.6462019489861205e+07 -8.6279271140894830e+07 -8.6077335476744667e+07 -8.5856276533087179e+07 -8.5596411168697476e+07 -8.5316479945247218e+07 -8.5002497918684483e+07 -8.4649892881115168e+07 -8.4253745521428481e+07 -8.3808981396760881e+07 -8.3310511848278522e+07 -8.2756625423879370e+07 -8.2128705858541563e+07 -8.1443036706209630e+07 -8.0690355260197178e+07 -7.9872405014569923e+07 -7.8995605439117849e+07 -7.8070883285980403e+07 -7.7119040375485897e+07 -7.6174632483496562e+07 -7.5270567666554093e+07 -7.4495464480006933e+07 -7.3938470014075309e+07 -7.3742151792066112e+07 -7.4101686064160690e+07 -7.5312856270834431e+07 -7.7823172814324707e+07 -8.2343523915675849e+07 -9.0038275670964420e+07 3.1904569499588633e+08 +1.8538179393131000e+00 -2.5605355190318552e+08 -2.5599271981856185e+08 -2.5589365336678874e+08 -2.5576771924795833e+08 -2.5564775729926798e+08 -2.5558375321027729e+08 -2.5559743396817890e+08 -2.5565131005272889e+08 -2.5570797035582757e+08 -2.5576055823674724e+08 -2.5581426776116398e+08 -2.5587033275780272e+08 -2.5592853532229114e+08 -2.5598938705578327e+08 -2.5605390452066869e+08 -2.5612299294201145e+08 -2.5619783154921958e+08 -2.5628009038417709e+08 -2.5637177772579929e+08 -2.5647517426102591e+08 -2.5659289815704712e+08 -2.5672783306103882e+08 -2.5688252080247185e+08 -2.5706088669768539e+08 -2.5727549875867724e+08 -2.5753545377363858e+08 -2.5784197496777293e+08 -2.5819986215027684e+08 -2.5861719814790800e+08 -2.5910360982003134e+08 -2.5967004756450734e+08 -2.6032883420541051e+08 -2.6109371864800808e+08 -2.6197988520892644e+08 -2.6300390077501056e+08 -2.6418350503607300e+08 -2.6553726531137687e+08 -2.6708396273275810e+08 -2.6884168262617248e+08 -2.7082639015184420e+08 -2.7322536649388617e+08 -2.7590580442145371e+08 -2.7885894662970716e+08 -2.8205433793360186e+08 -2.8543069891685343e+08 -2.8888492392601424e+08 -2.9225989189301544e+08 -2.9533274807563257e+08 -2.9780714588654751e+08 -2.9931325161606336e+08 -2.9943234625874770e+08 -2.9771239672147149e+08 -2.9372704666759938e+08 -2.8719948624832821e+08 -2.7802563595237726e+08 -2.6634807725977021e+08 -2.5254783920689973e+08 -2.3719886889999163e+08 -2.2098057053050700e+08 -2.0455808761000562e+08 -1.8853105270659980e+08 -1.7334947012591866e+08 -1.5933938726027268e+08 -1.4666956402781659e+08 -1.3542602952399880e+08 -1.2561545196953210e+08 -1.1717939192321907e+08 -1.1005686079025027e+08 -1.0415357776324718e+08 -9.9361983863483518e+07 -9.5591949150928736e+07 -9.2709553337685093e+07 -9.0599155421975002e+07 -8.9124834801889792e+07 -8.8142524553896412e+07 -8.7530064304975241e+07 -8.7150762447831064e+07 -8.6902100141430169e+07 -8.6725235442454502e+07 -8.6618796547812343e+07 -8.6517414312166467e+07 -8.6416593273880661e+07 -8.6311978413119957e+07 -8.6204355563812673e+07 -8.6094506158312336e+07 -8.5965718471287057e+07 -8.5836139833676472e+07 -8.5697386891795024e+07 -8.5546886929804891e+07 -8.5382630552923620e+07 -8.5202176810564622e+07 -8.5002775190681577e+07 -8.4784542519324154e+07 -8.4527775367532402e+07 -8.4251352003719613e+07 -8.3941302820602268e+07 -8.3593112667007789e+07 -8.3201923635232151e+07 -8.2762724604542285e+07 -8.2270490432392150e+07 -8.1723582661852032e+07 -8.1103361500708476e+07 -8.0426265007481426e+07 -7.9682992593303308e+07 -7.8875265991417125e+07 -7.8009424487086609e+07 -7.7096258402755782e+07 -7.6156309877290636e+07 -7.5223750788052768e+07 -7.4330843353423461e+07 -7.3565428511842594e+07 -7.3015399251057908e+07 -7.2821589437656254e+07 -7.3176647228120968e+07 -7.4372685565102234e+07 -7.6851652048829585e+07 -8.1315630771242291e+07 -8.8914127389969096e+07 3.1973465904463065e+08 +1.8587862620873581e+00 -2.5656678931351528e+08 -2.5650601937305987e+08 -2.5640706067960188e+08 -2.5628125524152586e+08 -2.5616141774612015e+08 -2.5609747188126540e+08 -2.5611112334532923e+08 -2.5616492383587691e+08 -2.5622149985788599e+08 -2.5627400140298197e+08 -2.5632761594285721e+08 -2.5638357478427672e+08 -2.5644165913057297e+08 -2.5650237780445594e+08 -2.5656674457980639e+08 -2.5663566125247735e+08 -2.5671030291807362e+08 -2.5679233435181227e+08 -2.5688375747798923e+08 -2.5698684549814096e+08 -2.5710420787504438e+08 -2.5723871801531583e+08 -2.5739290540199384e+08 -2.5757067496388710e+08 -2.5778456037414953e+08 -2.5804363512046066e+08 -2.5834910749008322e+08 -2.5870575077293220e+08 -2.5912161107005373e+08 -2.5960627019618943e+08 -2.6017062415149277e+08 -2.6082692986500984e+08 -2.6158885613837153e+08 -2.6247148958012626e+08 -2.6349127749085587e+08 -2.6466581266575366e+08 -2.6601348150748536e+08 -2.6755284179821873e+08 -2.6930170282808250e+08 -2.7127568851245517e+08 -2.7366058513290286e+08 -2.7632365739547062e+08 -2.7925534627306354e+08 -2.8242421669002730e+08 -2.8576781510579562e+08 -2.8918167022567278e+08 -2.9250714226078308e+08 -2.9551980198100281e+08 -2.9792185500984472e+08 -2.9934243694599605e+08 -2.9936262436702597e+08 -2.9753135838304055e+08 -2.9342476865341794e+08 -2.8677027219598335e+08 -2.7746927538048226e+08 -2.6567034243001649e+08 -2.5175999784798989e+08 -2.3631623915263611e+08 -2.2002056668024203e+08 -2.0353817680283743e+08 -1.8746725711372989e+08 -1.7225535097703794e+08 -1.5822578139686704e+08 -1.4554458170023975e+08 -1.3429549533958328e+08 -1.2448333411323623e+08 -1.1604819326339819e+08 -1.0892807493696786e+08 -1.0302800210328698e+08 -9.8239894276120484e+07 -9.4473359853052288e+07 -9.1594251972536027e+07 -8.9486845484533086e+07 -8.8015156480728492e+07 -8.7035163682591796e+07 -8.6424790224470079e+07 -8.6047372807273030e+07 -8.5800453185352772e+07 -8.5625294227768719e+07 -8.5520081647628903e+07 -8.5419944340605408e+07 -8.5320396459348783e+07 -8.5217116214090511e+07 -8.5110870503434479e+07 -8.5002482932184547e+07 -8.4875178439341739e+07 -8.4747257187704191e+07 -8.4610277952539146e+07 -8.4461700644070849e+07 -8.4299541344330758e+07 -8.4121390061801419e+07 -8.3924531160623997e+07 -8.3709134385292411e+07 -8.3455476210111514e+07 -8.3182572718596399e+07 -8.2876469848629534e+07 -8.2532709701228142e+07 -8.2146495982760653e+07 -8.1712881111796141e+07 -8.1226903679597050e+07 -8.0686998424238935e+07 -8.0074502196124330e+07 -7.9406007737846121e+07 -7.8672176598617628e+07 -7.7874708676461071e+07 -7.7019862797177598e+07 -7.6118292385670096e+07 -7.5190279009407222e+07 -7.4269609284574643e+07 -7.3387897607349023e+07 -7.2632204311789051e+07 -7.2089164122309327e+07 -7.1897871260314450e+07 -7.2248437211834297e+07 -7.3429291816987723e+07 -7.5876800781725928e+07 -8.0284213819142550e+07 -8.7786125530788690e+07 3.2041994825539511e+08 +1.8637545848616162e+00 -2.5707451410661727e+08 -2.5701381031336048e+08 -2.5691495667636439e+08 -2.5678928506329337e+08 -2.5666956851114851e+08 -2.5660568083061600e+08 -2.5661930268577555e+08 -2.5667302667934471e+08 -2.5672951749495739e+08 -2.5678193162414113e+08 -2.5683544988091990e+08 -2.5689130111041433e+08 -2.5694926544878405e+08 -2.5700984900394142e+08 -2.5707406265658259e+08 -2.5714280470676515e+08 -2.5721724604344711e+08 -2.5729904607781580e+08 -2.5739020027038866e+08 -2.5749297420055500e+08 -2.5760996847628433e+08 -2.5774404607354838e+08 -2.5789772389653498e+08 -2.5807488608179432e+08 -2.5828803142317340e+08 -2.5854620978520340e+08 -2.5885061425814328e+08 -2.5920599117323941e+08 -2.5962034933413926e+08 -2.6010322483792844e+08 -2.6066545850544840e+08 -2.6131924046436647e+08 -2.6207815836978263e+08 -2.6295719992021409e+08 -2.6397269145739806e+08 -2.6514207731931844e+08 -2.6648356122753143e+08 -2.6801547564549914e+08 -2.6975535165684491e+08 -2.7171846958956027e+08 -2.7408910488569826e+08 -2.7673460118729562e+08 -2.7964459495195436e+08 -2.8278666909613782e+08 -2.8609719515794450e+08 -2.8947033765022665e+08 -2.9274594299296093e+08 -2.9569801738529521e+08 -2.9802733510960126e+08 -2.9936202520379364e+08 -2.9928299138983798e+08 -2.9734018571447587e+08 -2.9311226043252575e+08 -2.8633088781123239e+08 -2.7690297266954440e+08 -2.6498305284598708e+08 -2.5096311831833118e+08 -2.3542517231706113e+08 -2.1905276202672210e+08 -2.0251109251186749e+08 -1.8639687346861959e+08 -1.7115516758852977e+08 -1.5710656525336102e+08 -1.4441437338038215e+08 -1.3316005488531619e+08 -1.2334657256233273e+08 -1.1491256437003359e+08 -1.0779503062539043e+08 -1.0189830485238661e+08 -9.7113790764113083e+07 -9.3350839840702653e+07 -9.0475082920471266e+07 -8.8370714262824371e+07 -8.6901689923137978e+07 -8.5924037484887794e+07 -8.5315766346737683e+07 -8.4940244093477681e+07 -8.4695075100066811e+07 -8.4521628441094652e+07 -8.4417646517686799e+07 -8.4318758422247723e+07 -8.4220488024392799e+07 -8.4118546909485966e+07 -8.4013682989866525e+07 -8.3906762137252614e+07 -8.3780946004682735e+07 -8.3654687737765372e+07 -8.3519488201968849e+07 -8.3372840044147968e+07 -8.3212784909167498e+07 -8.3036943869736940e+07 -8.2842636284049347e+07 -8.2630084942193776e+07 -8.2379546412450299e+07 -8.2110174698439017e+07 -8.1808031490828156e+07 -8.1468716336855620e+07 -8.1087494765404269e+07 -8.0659482949401289e+07 -8.0179783429863244e+07 -7.9646904337631315e+07 -7.9042159335233793e+07 -7.8382296025343135e+07 -7.7657938116407350e+07 -7.6870763596845418e+07 -7.6026950561107457e+07 -7.5137015072809279e+07 -7.4220977245719537e+07 -7.3312237084278107e+07 -7.2441759197511271e+07 -7.1695820352562442e+07 -7.1159792887318745e+07 -7.0971025443022653e+07 -7.1317084335259229e+07 -7.2482703809774399e+07 -7.4898648756005794e+07 -7.9249304528315231e+07 -8.6654304508440569e+07 3.2110155774029398e+08 +1.8687229076358742e+00 -2.5757670767117199e+08 -2.5751606280066958e+08 -2.5741731779487342e+08 -2.5729178057885128e+08 -2.5717218598832136e+08 -2.5710835596172845e+08 -2.5712194782368913e+08 -2.5717559454916430e+08 -2.5723199916587105e+08 -2.5728432482572043e+08 -2.5733774550426063e+08 -2.5739348767275631e+08 -2.5745133020161134e+08 -2.5751177657898819e+08 -2.5757583467555842e+08 -2.5764439923011768e+08 -2.5771863685230130e+08 -2.5780020148944226e+08 -2.5789108203126004e+08 -2.5799353629836440e+08 -2.5811015589406803e+08 -2.5824379317214009e+08 -2.5839695222779211e+08 -2.5857349599898618e+08 -2.5878588786140278e+08 -2.5904315373338741e+08 -2.5934647124903932e+08 -2.5970055934364879e+08 -2.6011338895142886e+08 -2.6059444978044826e+08 -2.6115452669108182e+08 -2.6180574210644087e+08 -2.6256160149246749e+08 -2.6343699244194421e+08 -2.6444811896674213e+08 -2.6561227539168930e+08 -2.6694748100044018e+08 -2.6847184097839081e+08 -2.7020260604484433e+08 -2.7215471061683410e+08 -2.7451090341626620e+08 -2.7713861404080403e+08 -2.8002667168927234e+08 -2.8314167522087830e+08 -2.8641882054084867e+08 -2.8975090951978850e+08 -2.9297627983825588e+08 -2.9586738317075050e+08 -2.9812357902673930e+08 -2.9937201409390026e+08 -2.9919345079745579e+08 -2.9713888872357124e+08 -2.9278953903264040e+08 -2.8588135718124115e+08 -2.7632675847581708e+08 -2.6428624474088052e+08 -2.5015724108098045e+08 -2.3452571160688889e+08 -2.1807720114881071e+08 -2.0147687955342719e+08 -1.8531994602405369e+08 -1.7004896316675362e+08 -1.5598178076146406e+08 -1.4327897968128696e+08 -1.3201974752197503e+08 -1.2220520555186218e+08 -1.1377254250307797e+08 -1.0665776429455830e+08 -1.0076452177142568e+08 -9.5983708539711282e+07 -9.2224423890560940e+07 -8.9352080619681329e+07 -8.7250795937401474e+07 -8.5784469118978605e+07 -8.4809179811283588e+07 -8.4203026419909477e+07 -8.3829409977209285e+07 -8.3585999493968591e+07 -8.3414271635210276e+07 -8.3311524672397152e+07 -8.3213890033246338e+07 -8.3116901406352147e+07 -8.3016303895932212e+07 -8.2912826377592921e+07 -8.2807377083636492e+07 -8.2683054431959018e+07 -8.2558464697952524e+07 -8.2425050800039575e+07 -8.2280338231334329e+07 -8.2122394284907252e+07 -8.1948871201531470e+07 -8.1757123450716227e+07 -8.1547426993517116e+07 -8.1300018682559699e+07 -8.1034190544064000e+07 -8.0736020227740914e+07 -8.0401164919198796e+07 -8.0024952176700711e+07 -7.9602562140709192e+07 -7.9129161515878737e+07 -7.8603332021147773e+07 -7.8006364301198035e+07 -7.7355160990669608e+07 -7.6640307979205713e+07 -7.5863461272499844e+07 -7.5030717963273644e+07 -7.4152456294931784e+07 -7.3248434053008556e+07 -7.2351663291524068e+07 -7.1492456886488199e+07 -7.0756305100144759e+07 -7.0227313798913047e+07 -7.0041080161910117e+07 -7.0382616911644205e+07 -7.1532950319783807e+07 -7.3917225707539797e+07 -7.8210934360157967e+07 -8.5518698729821831e+07 3.2177948274212945e+08 +1.8736912304101323e+00 -2.5807333978624475e+08 -2.5801275989967459e+08 -2.5791412216777006e+08 -2.5778871754103747e+08 -2.5766924507710785e+08 -2.5760547398390299e+08 -2.5761903500588030e+08 -2.5767260357174978e+08 -2.5772892100615773e+08 -2.5778115715726146e+08 -2.5783447897281855e+08 -2.5789011063332915e+08 -2.5794782954491991e+08 -2.5800813668448675e+08 -2.5807203679118261e+08 -2.5814042097829136e+08 -2.5821445150185731e+08 -2.5829577674499846e+08 -2.5838637891976550e+08 -2.5848850795372304e+08 -2.5860474629331276e+08 -2.5873793548024535e+08 -2.5889056657011947e+08 -2.5906648089691240e+08 -2.5927810587841275e+08 -2.5953444316545469e+08 -2.5983665467633393e+08 -2.6018943151403850e+08 -2.6060070617227569e+08 -2.6107992129916766e+08 -2.6163780501610684e+08 -2.6228641113898179e+08 -2.6303916190579855e+08 -2.6391084360937756e+08 -2.6491753656648067e+08 -2.6607638353788838e+08 -2.6740521762094536e+08 -2.6892191477180028e+08 -2.7064344320383805e+08 -2.7258438911502475e+08 -2.7492595868665814e+08 -2.7753567450941712e+08 -2.8040155583298337e+08 -2.8348921547476649e+08 -2.8673267308002949e+08 -2.9002336953210008e+08 -2.9319813894212562e+08 -2.9602788863483608e+08 -2.9821058003295529e+08 -2.9937240176163566e+08 -2.9909400650352252e+08 -2.9692747785222316e+08 -2.9245662189242971e+08 -2.8542170476578635e+08 -2.7574066377847219e+08 -2.6357995461349258e+08 -2.4934240680474478e+08 -2.3361790038579378e+08 -2.1709392872732615e+08 -2.0043558280877966e+08 -1.8423651907065091e+08 -1.6893678093647882e+08 -1.5485146986000627e+08 -1.4213844121489295e+08 -1.3087461260524683e+08 -1.2105927130927609e+08 -1.1262816491420254e+08 -1.0551631237388629e+08 -9.9626688611760095e+07 -9.4849682806182548e+07 -9.1094146770250618e+07 -8.8225279498938993e+07 -8.6127124679782227e+07 -8.4663528049181595e+07 -8.3690624503273427e+07 -8.3086604183133796e+07 -8.2714904120359480e+07 -8.2473259966541082e+07 -8.2303257354094297e+07 -8.2201749617452919e+07 -8.2105372641131505e+07 -8.2009670033676937e+07 -8.1910420561153665e+07 -8.1808334012512639e+07 -8.1704361072814479e+07 -8.1581536976787612e+07 -8.1458621273430452e+07 -8.1326998897988766e+07 -8.1184228298182577e+07 -8.1028402500172988e+07 -8.0857205015751496e+07 -8.0668025541426659e+07 -8.0461193333867922e+07 -8.0216925720051736e+07 -7.9954652847549543e+07 -7.9660468531255454e+07 -7.9330087785101250e+07 -7.8958900401829332e+07 -7.8542150700574547e+07 -7.8075069761675924e+07 -7.7556313085633814e+07 -7.6967148468755573e+07 -7.6324633746425807e+07 -7.5619317011776000e+07 -7.4852832215266034e+07 -7.4031195180398896e+07 -7.3164645875070319e+07 -7.2272678890388295e+07 -7.1387917003059179e+07 -7.0540019429032698e+07 -6.9813687012944013e+07 -6.9291755102406546e+07 -6.9108063585896626e+07 -6.9445063246770591e+07 -7.0580060115855798e+07 -7.2932561364385605e+07 -7.7169134767826065e+07 -8.4379342592807874e+07 3.2245371863368648e+08 +1.8786595531843904e+00 -2.5856439318401825e+08 -2.5850387454274592e+08 -2.5840534462570447e+08 -2.5828007297654003e+08 -2.5816072374795061e+08 -2.5809701011682382e+08 -2.5811054073353896e+08 -2.5816403008716479e+08 -2.5822025939171240e+08 -2.5827240499879274e+08 -2.5832562667790839e+08 -2.5838114637971926e+08 -2.5843873986765677e+08 -2.5849890570522103e+08 -2.5856264538890928e+08 -2.5863084633713862e+08 -2.5870466638026485e+08 -2.5878574823400789e+08 -2.5887606732707682e+08 -2.5897786556039596e+08 -2.5909371607196221e+08 -2.5922644939954764e+08 -2.5937854333113083e+08 -2.5955381719067559e+08 -2.5976466189938176e+08 -2.6002005451734772e+08 -2.6032114099059376e+08 -2.6067258415229407e+08 -2.6108227748632687e+08 -2.6155961591139534e+08 -2.6211527003148720e+08 -2.6276122415576214e+08 -2.6351081625738642e+08 -2.6437873013881224e+08 -2.6538092106059396e+08 -2.6653437867393005e+08 -2.6785674814880264e+08 -2.6936567427354354e+08 -2.7107784062499624e+08 -2.7300748289364612e+08 -2.7533424895770985e+08 -2.7792576145843941e+08 -2.8076922705548877e+08 -2.8382927060855740e+08 -2.8703873495900601e+08 -2.9028770176084781e+08 -2.9341150684521121e+08 -2.9617952348901367e+08 -2.9828833182994109e+08 -2.9936318679326129e+08 -2.9898466286344147e+08 -2.9670596397436523e+08 -2.9211352685824710e+08 -2.8495195539477372e+08 -2.7514471987609702e+08 -2.6286421922450963e+08 -2.4851865636060551e+08 -2.3270178216370815e+08 -2.1610298954315415e+08 -1.9938724722155759e+08 -1.8314663693434703e+08 -1.6781866413980243e+08 -1.5371567449254033e+08 -1.4099279859133387e+08 -1.2972468948455191e+08 -1.1990880805363154e+08 -1.1147946884542084e+08 -1.0437071128334884e+08 -9.8484841114992768e+07 -9.3711748756552532e+07 -8.9960043237378195e+07 -8.7094713977245957e+07 -8.4999734651413962e+07 -8.3538900684747025e+07 -8.2568405392630249e+07 -8.1966533365806311e+07 -8.1596760174937531e+07 -8.1356890107504889e+07 -8.1188619131997555e+07 -8.1088354848794013e+07 -8.0993239703361154e+07 -8.0898827325172469e+07 -8.0800930283198550e+07 -8.0700239230746284e+07 -8.0597747396617278e+07 -8.0476426885385960e+07 -8.0355190659906581e+07 -8.0225365637403876e+07 -8.0084543327723816e+07 -7.9930842574121132e+07 -7.9761978261316746e+07 -7.9575375427871615e+07 -7.9371416748544157e+07 -7.9130300214711323e+07 -7.8871594191727534e+07 -7.8581408863828614e+07 -7.8255517262090012e+07 -7.7889371616600066e+07 -7.7478280634740606e+07 -7.7017539982218042e+07 -7.6505879132661134e+07 -7.5924543203568131e+07 -7.5290745396065563e+07 -7.4594996029800326e+07 -7.3838906928061083e+07 -7.3028412380246237e+07 -7.2173613627569512e+07 -7.1293741208371311e+07 -7.0421027307038411e+07 -6.9584475571800813e+07 -6.8867994541221321e+07 -6.8353145035043523e+07 -6.8172003875431255e+07 -6.8504451638267711e+07 -6.9624061958356157e+07 -7.1944685445978627e+07 -7.6123937195421964e+07 -8.3236270485357702e+07 3.2312426091702896e+08 +1.8836278759586484e+00 -2.5904983835097679e+08 -2.5898938368337035e+08 -2.5889096005350393e+08 -2.5876582514040220e+08 -2.5864659876040646e+08 -2.5858294154705316e+08 -2.5859644160903877e+08 -2.5864985068927199e+08 -2.5870599094266492e+08 -2.5875804496891639e+08 -2.5881116524226248e+08 -2.5886657152687824e+08 -2.5892403778953716e+08 -2.5898406025736937e+08 -2.5904763708552510e+08 -2.5911565192512515e+08 -2.5918925810850343e+08 -2.5927009257804894e+08 -2.5936012387690887e+08 -2.5946158574501401e+08 -2.5957704186040336e+08 -2.5970931156584686e+08 -2.5986085915311065e+08 -2.6003548153014675e+08 -2.6024553258431140e+08 -2.6049996446163651e+08 -2.6079990687948477e+08 -2.6114999396496764e+08 -2.6155807962355259e+08 -2.6203351037591642e+08 -2.6258689853230301e+08 -2.6323015799711567e+08 -2.6397654144418263e+08 -2.6484062899879748e+08 -2.6583824950887033e+08 -2.6698623797646898e+08 -2.6830204991120902e+08 -2.6980309700376195e+08 -2.7150577607918829e+08 -2.7342397004962772e+08 -2.7573575278910124e+08 -2.7830885406319028e+08 -2.8112966535381323e+08 -2.8416182171292061e+08 -2.8733698871881062e+08 -2.9054389065580130e+08 -2.9361637048371243e+08 -2.9632227785783809e+08 -2.9835682854680717e+08 -2.9934436821215510e+08 -2.9886542467219418e+08 -2.9647435839295185e+08 -2.9176027218191499e+08 -2.8447213426463455e+08 -2.7453895838367957e+08 -2.6213907559218439e+08 -2.4768603081845438e+08 -2.3177740059551290e+08 -2.1510442847423664e+08 -1.9833191779598629e+08 -1.8205034397488853e+08 -1.6669465603400883e+08 -1.5257443660678327e+08 -1.3984209241738775e+08 -1.2857001750222296e+08 -1.1875385399480882e+08 -1.1032649152858883e+08 -1.0322099743157792e+08 -9.7339015011325270e+07 -9.2569941572704747e+07 -8.8822148038423926e+07 -8.5960418462664172e+07 -8.3868660003165454e+07 -8.2410620985902131e+07 -8.1442556300291121e+07 -8.0842847686557963e+07 -8.0475011782354236e+07 -8.0236923495966047e+07 -8.0070390492430151e+07 -7.9971373851756781e+07 -7.9877524667120814e+07 -7.9784406688926756e+07 -7.9687866429559842e+07 -7.9588575357777789e+07 -7.9487569336044639e+07 -7.9367757393142462e+07 -7.9248206042320445e+07 -7.9120184149252862e+07 -7.8981316392484888e+07 -7.8829747515412003e+07 -7.8663223876747146e+07 -7.8479205970984057e+07 -7.8278130012251899e+07 -7.8040174846294165e+07 -7.7785047149009869e+07 -7.7498873677524760e+07 -7.7177485667294398e+07 -7.6816397986583367e+07 -7.6410983938518375e+07 -7.5956603982266158e+07 -7.5452061753795788e+07 -7.4878579861433744e+07 -7.4253527033163324e+07 -7.3567375839188918e+07 -7.2821715904270619e+07 -7.2022399720966980e+07 -7.1179389357323289e+07 -7.0311650448094025e+07 -6.9451023282521039e+07 -6.8625854052116171e+07 -6.7919256126136616e+07 -6.7411511824965864e+07 -6.7232929182290211e+07 -6.7560810374680296e+07 -6.8664984598596305e+07 -7.0953627662172660e+07 -7.5075373076930970e+07 -8.2089516784252718e+07 3.2379110522279727e+08 +1.8885961987329065e+00 -2.5952965526803973e+08 -2.5946926440743166e+08 -2.5937095024224132e+08 -2.5924594866128585e+08 -2.5912684614453238e+08 -2.5906324549699149e+08 -2.5907671437661210e+08 -2.5913004222910354e+08 -2.5918609252639350e+08 -2.5923805392273939e+08 -2.5929107152041972e+08 -2.5934636291918576e+08 -2.5940370016288278e+08 -2.5946357718885729e+08 -2.5952698872955939e+08 -2.5959481459154621e+08 -2.5966820353875130e+08 -2.5974878663174489e+08 -2.5983852542579767e+08 -2.5993964536780217e+08 -2.6005470052325237e+08 -2.6018649884854022e+08 -2.6033749091199771e+08 -2.6051145080044782e+08 -2.6072069482920602e+08 -2.6097414990822279e+08 -2.6127292926840913e+08 -2.6162163789863724e+08 -2.6202808955487007e+08 -2.6250158169415891e+08 -2.6305266755787516e+08 -2.6369318974995217e+08 -2.6443631461302242e+08 -2.6529651741146573e+08 -2.6628949922846657e+08 -2.6743193888395080e+08 -2.6874110050151193e+08 -2.7023416075612485e+08 -2.7192722761815071e+08 -2.7383382896930599e+08 -2.7613044903925347e+08 -2.7868493181064552e+08 -2.8148285105031931e+08 -2.8448685021915364e+08 -2.8762741725767767e+08 -2.9079192104261988e+08 -2.9381271718807751e+08 -2.9645614227791131e+08 -2.9841606474081939e+08 -2.9931594547863412e+08 -2.9873629716127390e+08 -2.9623267283694196e+08 -2.9139687651594800e+08 -2.8398226693465739e+08 -2.7392341122847772e+08 -2.6140456099009478e+08 -2.4684457144402978e+08 -2.3084479947578338e+08 -2.1409829049297911e+08 -1.9726963959496224e+08 -1.8094768458421829e+08 -1.6556479989080656e+08 -1.5142779815291512e+08 -1.3868636329541275e+08 -1.2741063599190588e+08 -1.1759444733199874e+08 -1.0916927018361787e+08 -1.0206720721562609e+08 -9.6189246019136488e+07 -9.1424296424612477e+07 -8.7680495907993004e+07 -8.4822427351363346e+07 -8.2733934873817071e+07 -8.1278722901177168e+07 -8.0313111035485744e+07 -7.9715580852489233e+07 -7.9349692572424814e+07 -7.9113393699458987e+07 -7.8948604947402596e+07 -7.8850840100080505e+07 -7.8758260967867196e+07 -7.8666441521517888e+07 -7.8571262356246158e+07 -7.8473375707678720e+07 -7.8373860160963610e+07 -7.8255561724185720e+07 -7.8137700594326377e+07 -7.8011487553218216e+07 -7.7874580553474337e+07 -7.7725150321186021e+07 -7.7560974789098457e+07 -7.7379550020428047e+07 -7.7181365888648942e+07 -7.6946582283103988e+07 -7.6695044280435994e+07 -7.6412895413452208e+07 -7.6096025306748644e+07 -7.5740011666320607e+07 -7.5340292596375048e+07 -7.4892293555650249e+07 -7.4394892529815227e+07 -7.3829289787248984e+07 -7.3213009740663797e+07 -7.2536487235320166e+07 -7.1801289626629710e+07 -7.1013187350506172e+07 -7.0182002858910412e+07 -6.9326436040660992e+07 -6.8477933998488560e+07 -6.7664183597507194e+07 -6.6967500199035034e+07 -6.6466883690655716e+07 -6.6290867648376346e+07 -6.6614167734901540e+07 -6.7702856778070554e+07 -6.9959417712841883e+07 -7.4023473835626408e+07 -8.0939115854794845e+07 3.2445424730950600e+08 +1.8935645215071646e+00 -2.6000381956286156e+08 -2.5994349298979822e+08 -2.5984528639060816e+08 -2.5972042426324216e+08 -2.5960144246132973e+08 -2.5953789922442654e+08 -2.5955133594636720e+08 -2.5960458184207439e+08 -2.5966054125480354e+08 -2.5971240894595066e+08 -2.5976532259884658e+08 -2.5982049763213870e+08 -2.5987770407187971e+08 -2.5993743358028853e+08 -2.6000067740238100e+08 -2.6006831141931176e+08 -2.6014147975609004e+08 -2.6022180748242322e+08 -2.6031124906359094e+08 -2.6041202152247339e+08 -2.6052666915847385e+08 -2.6065798835190421e+08 -2.6080841571944824e+08 -2.6098170212258956e+08 -2.6119012576691079e+08 -2.6144258800305995e+08 -2.6174018532206386e+08 -2.6208749313779187e+08 -2.6249228449174541e+08 -2.6296380711032155e+08 -2.6351255439286232e+08 -2.6415029674849340e+08 -2.6489011316055119e+08 -2.6574637285249817e+08 -2.6673464779404119e+08 -2.6787145909650719e+08 -2.6917387778067201e+08 -2.7065884359706581e+08 -2.7234217357371122e+08 -2.7423703832753986e+08 -2.7651831686637914e+08 -2.7905397449872887e+08 -2.8182876479185951e+08 -2.8480433789892876e+08 -2.8791000383132273e+08 -2.9103177812233061e+08 -2.9400053468197089e+08 -2.9658110769669360e+08 -2.9846603539394188e+08 -2.9927791848756838e+08 -2.9859728599815845e+08 -2.9598091945921052e+08 -2.9102335891234404e+08 -2.8348237932352996e+08 -2.7329811064677429e+08 -2.6066071294321838e+08 -2.4599431969614390e+08 -2.2990402273891637e+08 -2.1308462066473368e+08 -1.9620045773749501e+08 -1.7983870318434840e+08 -1.6442913899416304e+08 -1.5027580108204839e+08 -1.3752565182216740e+08 -1.2624658427801286e+08 -1.1643062625281328e+08 -1.0800784201828223e+08 -1.0090937701933630e+08 -9.5035569843661442e+07 -9.0274848469332904e+07 -8.6535121567818210e+07 -8.3680775026644886e+07 -8.1595593389728636e+07 -8.0143240366481036e+07 -7.9180103395105109e+07 -7.8584766558127314e+07 -7.8220836162504122e+07 -7.7986334272947803e+07 -7.7823295996493816e+07 -7.7726787055069178e+07 -7.7635482028726697e+07 -7.7544965207361862e+07 -7.7451151406856447e+07 -7.7354673582080603e+07 -7.7256653128678858e+07 -7.7139873090284869e+07 -7.7023707477287963e+07 -7.6899308956578597e+07 -7.6764368859603405e+07 -7.6617083976465747e+07 -7.6455263913335592e+07 -7.6276440413878098e+07 -7.6081157128992230e+07 -7.5849555181424677e+07 -7.5601618135173321e+07 -7.5323506500439584e+07 -7.5011168474496514e+07 -7.4660244798388466e+07 -7.4266238580843344e+07 -7.3824640484468386e+07 -7.3334403029631525e+07 -7.2776704314176604e+07 -7.2169224589913592e+07 -7.1502361001903817e+07 -7.0777658566671520e+07 -7.0000805405404910e+07 -6.9181483915866733e+07 -6.8338127406073198e+07 -6.7501788513123348e+07 -6.6699492924800187e+07 -6.6012755180681363e+07 -6.5519288840142347e+07 -6.5345847405242682e+07 -6.5664551987267561e+07 -6.6737707227349259e+07 -6.8962085286641240e+07 -7.2968270883025900e+07 -7.9785102049102098e+07 3.2511368306284326e+08 +1.8985328442814227e+00 -2.6047230993721810e+08 -2.6041204586443481e+08 -2.6031395191725865e+08 -2.6018922303328046e+08 -2.6007036555108246e+08 -2.6000688031626081e+08 -2.6002028362267840e+08 -2.6007344695080206e+08 -2.6012931447926703e+08 -2.6018108734873399e+08 -2.6023389579617435e+08 -2.6028895297404063e+08 -2.6034602683309522e+08 -2.6040560674548033e+08 -2.6046868041826442e+08 -2.6053611972388959e+08 -2.6060906407900980e+08 -2.6068913245094576e+08 -2.6077827211436170e+08 -2.6087869153682417e+08 -2.6099292509947544e+08 -2.6112375741504279e+08 -2.6127361092221382e+08 -2.6144621285320914e+08 -2.6165380276668397e+08 -2.6190525613131055e+08 -2.6220165244297847e+08 -2.6254753710899115e+08 -2.6295064188789654e+08 -2.6342016411220080e+08 -2.6396653656714371e+08 -2.6460145657552612e+08 -2.6533791473468822e+08 -2.6619017305052286e+08 -2.6717367303747001e+08 -2.6830477657719579e+08 -2.6960035987721145e+08 -2.7107712386737335e+08 -2.7275059255893570e+08 -2.7463357708887380e+08 -2.7689933572771531e+08 -2.7941596223679918e+08 -2.8216738755048627e+08 -2.8511426686394191e+08 -2.8818473205217868e+08 -2.9126344747017676e+08 -2.9417981108215135e+08 -2.9669716547192615e+08 -2.9850673591224855e+08 -2.9923028756584156e+08 -2.9844839728154963e+08 -2.9571911083320433e+08 -2.9063973881809169e+08 -2.8297249770704687e+08 -2.7266308918065274e+08 -2.5990756922480252e+08 -2.4513531722284076e+08 -2.2895511445434734e+08 -2.1206346414419237e+08 -1.9512441739701462e+08 -1.7872344422582850e+08 -1.6328771663916194e+08 -1.4911848734550533e+08 -1.3635999858756694e+08 -1.2507790167423028e+08 -1.1526242893241943e+08 -1.0684224422668344e+08 -9.9747543212915182e+07 -9.3878022176185727e+07 -8.9121632849904716e+07 -8.5386059725871578e+07 -8.2535495858378083e+07 -8.0453669663637012e+07 -7.9004207304260463e+07 -7.8043567162392765e+07 -7.7450438484444112e+07 -7.7088476156478941e+07 -7.6855778758166492e+07 -7.6694497125921711e+07 -7.6599248164811999e+07 -7.6509221259424493e+07 -7.6420011117194965e+07 -7.6327566911601946e+07 -7.6232502269501120e+07 -7.6135981483373940e+07 -7.6020724689948827e+07 -7.5906259839227974e+07 -7.5783681453559816e+07 -7.5650714346405178e+07 -7.5505581453128070e+07 -7.5346124151314512e+07 -7.5169909975671425e+07 -7.4977536471595228e+07 -7.4749126184437260e+07 -7.4504801249246955e+07 -7.4230739354462758e+07 -7.3922947451764360e+07 -7.3577129512517512e+07 -7.3188853851782843e+07 -7.2753676538049281e+07 -7.2270624809735194e+07 -7.1720854763252661e+07 -7.1122202639852107e+07 -7.0465027910635293e+07 -6.9750853183648199e+07 -6.8985284010463312e+07 -6.8177862299882159e+07 -6.7346753952785179e+07 -6.6522615873102799e+07 -6.5731810739404202e+07 -6.5055049480663382e+07 -6.4568755470089950e+07 -6.4397896573167406e+07 -6.4711991388870999e+07 -6.5769564665850222e+07 -6.7961660060472816e+07 -7.1909795618151411e+07 -7.8627509706015676e+07 3.2576940849497128e+08 +1.9035011670556807e+00 -2.6093510533227223e+08 -2.6087490671151915e+08 -2.6077691716710138e+08 -2.6065232471859655e+08 -2.6053359408486074e+08 -2.6047016517771763e+08 -2.6048353506359631e+08 -2.6053661517695370e+08 -2.6059238978153741e+08 -2.6064406666619262e+08 -2.6069676866272840e+08 -2.6075170648706517e+08 -2.6080864599612930e+08 -2.6086807423246697e+08 -2.6093097532466847e+08 -2.6099821705500150e+08 -2.6107093405969778e+08 -2.6115073909287316e+08 -2.6123957213653126e+08 -2.6133963297393525e+08 -2.6145344591441244e+08 -2.6158378361294961e+08 -2.6173305410358664e+08 -2.6190496058629954e+08 -2.6211170343554085e+08 -2.6236213191559121e+08 -2.6265730827376166e+08 -2.6300174747805473e+08 -2.6340313943869168e+08 -2.6387063043073076e+08 -2.6441459185620099e+08 -2.6504664706102359e+08 -2.6577969723360556e+08 -2.6662789598974797e+08 -2.6760655304998207e+08 -2.6873186955113375e+08 -2.7002052518766659e+08 -2.7148898018168432e+08 -2.7315246346794420e+08 -2.7502342450708264e+08 -2.7727348538066489e+08 -2.7977087544613594e+08 -2.8249870062306821e+08 -2.8541661956615031e+08 -2.8845158588970834e+08 -2.9148691503603601e+08 -2.9435053489752674e+08 -2.9680430737000310e+08 -2.9853816212469947e+08 -2.9917305347155523e+08 -2.9828963754099393e+08 -2.9544725995029587e+08 -2.9024603607252914e+08 -2.8245264871344751e+08 -2.7201837967478293e+08 -2.5914516785307422e+08 -2.4426760585912010e+08 -2.2799811882409945e+08 -2.1103486617412892e+08 -1.9404156379924205e+08 -1.7760195218644503e+08 -1.6214057613041586e+08 -1.4795589889303291e+08 -1.3518944417351648e+08 -1.2390462748251274e+08 -1.1408989353236166e+08 -1.0567251398834750e+08 -9.8581742151577145e+07 -9.2716638693332747e+07 -8.7964684694631621e+07 -8.4233345075421900e+07 -8.1386624201621383e+07 -7.9308197793656230e+07 -7.7861657622450694e+07 -7.6903536106267333e+07 -7.6312630298436478e+07 -7.5952646143999249e+07 -7.5721760682474896e+07 -7.5562241807670191e+07 -7.5468256862989262e+07 -7.5379512055586085e+07 -7.5291612607918590e+07 -7.5200542186693311e+07 -7.5106895044096604e+07 -7.5011878454917029e+07 -7.4898149707565159e+07 -7.4785390814212054e+07 -7.4664638124111950e+07 -7.4533650035617903e+07 -7.4390675709046781e+07 -7.4233588390798956e+07 -7.4059991516268313e+07 -7.3870536640930131e+07 -7.3645327921485230e+07 -7.3404626144958317e+07 -7.3134626377878800e+07 -7.2831394506003022e+07 -7.2490697924801826e+07 -7.2108170355357021e+07 -7.1679433472285047e+07 -7.1203589412969470e+07 -7.0661772441768095e+07 -7.0071974936245188e+07 -6.9424518719930038e+07 -6.8720903924013972e+07 -6.7966653277384624e+07 -6.7171167769986421e+07 -6.6352345076626837e+07 -6.5540445112556435e+07 -6.4761165734510325e+07 -6.4094411496300504e+07 -6.3615311765360296e+07 -6.3447043260557100e+07 -6.3756514184793264e+07 -6.4798457800622374e+07 -6.6958171698584691e+07 -7.0848079426693022e+07 -7.7466373149392664e+07 3.2642141974382794e+08 +1.9084694898299388e+00 -2.6139217863957056e+08 -2.6133204592081273e+08 -2.6123416918821597e+08 -2.6110971217104492e+08 -2.6099110456485176e+08 -2.6092773200618148e+08 -2.6094106798318624e+08 -2.6099406425740200e+08 -2.6104974496355602e+08 -2.6110132466660216e+08 -2.6115391898059359e+08 -2.6120873594785818e+08 -2.6126553934393534e+08 -2.6132481382456934e+08 -2.6138753990397599e+08 -2.6145458119655979e+08 -2.6152706748430154e+08 -2.6160660519767076e+08 -2.6169512692331818e+08 -2.6179482363171655e+08 -2.6190820940688556e+08 -2.6203804475662872e+08 -2.6218672308300313e+08 -2.6235792315221477e+08 -2.6256380561836225e+08 -2.6281319321749353e+08 -2.6310713069656503e+08 -2.6345010215229172e+08 -2.6384975508246699e+08 -2.6431518404241368e+08 -2.6485669828229681e+08 -2.6548584628444204e+08 -2.6621543880793279e+08 -2.6705951990844306e+08 -2.6803326618020919e+08 -2.6915271650692916e+08 -2.7043435237713802e+08 -2.7189439142950088e+08 -2.7354776547688437e+08 -2.7540656012542939e+08 -2.7764074588227105e+08 -2.8011869485904551e+08 -2.8282268563190073e+08 -2.8571137879730034e+08 -2.8871054966904771e+08 -2.9170216714372832e+08 -2.9451269502842385e+08 -2.9690252556530988e+08 -2.9856031028165746e+08 -2.9910621739151680e+08 -2.9812101373394638e+08 -2.9516538021787268e+08 -2.8984227090448958e+08 -2.8192285932019013e+08 -2.7136401527182561e+08 -2.5837354708746964e+08 -2.4339122762302914e+08 -2.2703308018061572e+08 -2.0999887208214533e+08 -1.9295194222020617e+08 -1.7647427156821895e+08 -1.6098776078065246e+08 -1.4678807767161474e+08 -1.3401402915274531e+08 -1.2272680099214530e+08 -1.1291305819945242e+08 -1.0449868846753041e+08 -9.7412010174904987e+07 -9.1551455055726156e+07 -8.6804039116185442e+07 -8.3077012294078693e+07 -8.0234194396047696e+07 -7.8159211862595558e+07 -7.6715625213820100e+07 -7.5760043980402097e+07 -7.5171375651584849e+07 -7.4813379699472606e+07 -7.4584313558270216e+07 -7.4426563498617530e+07 -7.4333846568442240e+07 -7.4246387797707096e+07 -7.4159803021119565e+07 -7.4070110533230558e+07 -7.3977885165178269e+07 -7.3884377258451030e+07 -7.3772181312553942e+07 -7.3661133521247372e+07 -7.3542212033508033e+07 -7.3413208933869600e+07 -7.3272399687062010e+07 -7.3117689504667252e+07 -7.2946717831395611e+07 -7.2760190346571729e+07 -7.2538193007151634e+07 -7.2301125329936787e+07 -7.2035199958154947e+07 -7.1736541890063450e+07 -7.1400982136897594e+07 -7.1024220023396462e+07 -7.0601943028671488e+07 -7.0133328368238792e+07 -6.9599488643178120e+07 -6.9018572510890320e+07 -6.8380864174601734e+07 -6.7687841220466033e+07 -6.6944943304462753e+07 -6.6161430071778499e+07 -6.5354930160254039e+07 -6.4555305252813227e+07 -6.3787586590403356e+07 -6.3130869612227783e+07 -6.2658985898002908e+07 -6.2493315563072063e+07 -6.2798148607309632e+07 -6.3824415325685062e+07 -6.5951649851845190e+07 -6.9783153680179164e+07 -7.6301726687970504e+07 3.2706971307242930e+08 +1.9134378126041969e+00 -2.6184351358979356e+08 -2.6178344240577808e+08 -2.6168567657460070e+08 -2.6156135884235796e+08 -2.6144287536445224e+08 -2.6137955889794758e+08 -2.6139286034749469e+08 -2.6144577209409732e+08 -2.6150135803913388e+08 -2.6155283936102781e+08 -2.6160532476460209e+08 -2.6166001936830711e+08 -2.6171668489337990e+08 -2.6177580353988016e+08 -2.6183835217277470e+08 -2.6190519016729620e+08 -2.6197744237362391e+08 -2.6205670879021373e+08 -2.6214491450388008e+08 -2.6224424154400662e+08 -2.6235719361663598e+08 -2.6248651889314032e+08 -2.6263459591718212e+08 -2.6280507861966258e+08 -2.6301008739826632e+08 -2.6325841813817760e+08 -2.6355109783412555e+08 -2.6389257928134161e+08 -2.6429046700014973e+08 -2.6475380316725814e+08 -2.6529283411432081e+08 -2.6591903257433721e+08 -2.6664511785934636e+08 -2.6748502330067700e+08 -2.6845379103680754e+08 -2.6956729619676262e+08 -2.7084182037890416e+08 -2.7229333677459431e+08 -2.7393647804339933e+08 -2.7578296377765739e+08 -2.7800109759002769e+08 -2.8045940152014178e+08 -2.8313932452346301e+08 -2.8599852768900895e+08 -2.8896160807201713e+08 -2.9190919049002594e+08 -2.9466628076597971e+08 -2.9699181263880295e+08 -2.9857317705269426e+08 -2.9902978093949705e+08 -2.9794253324319237e+08 -2.9487348545464402e+08 -2.8942846392853415e+08 -2.8138315685183680e+08 -2.7070002941086048e+08 -2.5759274542566949e+08 -2.4250622471341020e+08 -2.2606004298352104e+08 -2.0895552727869663e+08 -1.9185559798421714e+08 -1.7534044689719039e+08 -1.5982931390886706e+08 -1.4561506562420386e+08 -1.3283379408754466e+08 -1.2154446147854060e+08 -1.1173196106497569e+08 -1.0332080481184550e+08 -9.6238383605729550e+07 -9.0382506907336727e+07 -8.5639731210406750e+07 -8.1917096042999819e+07 -7.9078240764929339e+07 -7.7006745936961979e+07 -7.5566143954825804e+07 -7.4613124522454858e+07 -7.4026708179405883e+07 -7.3670710381473228e+07 -7.3443470881758094e+07 -7.3287495639686391e+07 -7.3196050683764189e+07 -7.3109881850402519e+07 -7.3024615682645485e+07 -7.2936305236406431e+07 -7.2845505876101479e+07 -7.2753511092950702e+07 -7.2642852658403605e+07 -7.2533521063580960e+07 -7.2416436231004581e+07 -7.2289424032161132e+07 -7.2150786314574108e+07 -7.1998460350422621e+07 -7.1830121701018706e+07 -7.1646530282505780e+07 -7.1427754040433362e+07 -7.1194331296172857e+07 -7.0932492467479914e+07 -7.0638421841452077e+07 -7.0308014235080093e+07 -6.9937034772432193e+07 -6.9521236933693945e+07 -6.9059873189112827e+07 -6.8534034645845339e+07 -6.7962026380727291e+07 -6.7334095004459485e+07 -6.6651695490962967e+07 -6.5920184175551809e+07 -6.5148678936585061e+07 -6.4354538572181582e+07 -6.3567225301060095e+07 -6.2811101973501615e+07 -6.2164452199433915e+07 -6.1699806026519641e+07 -6.1536741562935449e+07 -6.1836922875387408e+07 -6.2847465921570979e+07 -6.4942124157041267e+07 -6.8715049735152930e+07 -7.5133604613745421e+07 3.2771428486817306e+08 +1.9184061353784549e+00 -2.6228908704730839e+08 -2.6222907936422586e+08 -2.6213142544597524e+08 -2.6200724201619935e+08 -2.6188888416915032e+08 -2.6182562442684466e+08 -2.6183889053330541e+08 -2.6189171687987912e+08 -2.6194720723478907e+08 -2.6199858900843203e+08 -2.6205096426295719e+08 -2.6210553499578491e+08 -2.6216206089593947e+08 -2.6222102163270220e+08 -2.6228339038326734e+08 -2.6235002222167405e+08 -2.6242203698345381e+08 -2.6250102813100928e+08 -2.6258891314245081e+08 -2.6268786498096216e+08 -2.6280037682046947e+08 -2.6292918430724651e+08 -2.6307665090002388e+08 -2.6324640529511699e+08 -2.6345052709717169e+08 -2.6369778501845947e+08 -2.6398918804969767e+08 -2.6432915725575823e+08 -2.6472525361663124e+08 -2.6518646627148837e+08 -2.6572297786828557e+08 -2.6634618450850534e+08 -2.6706871304264465e+08 -2.6790438491532400e+08 -2.6886810648714393e+08 -2.6997558763661069e+08 -2.7124290839619642e+08 -2.7268579565618825e+08 -2.7431858090714216e+08 -2.7615261558752263e+08 -2.7835452116112149e+08 -2.8079297678550291e+08 -2.8344859956997383e+08 -2.8627804971245807e+08 -2.8920474613602644e+08 -2.9210797214446503e+08 -2.9481128179049492e+08 -2.9707216157705808e+08 -2.9857675952576727e+08 -2.9894374615445834e+08 -2.9775420387490308e+08 -2.9457158989034492e+08 -2.8900463614275944e+08 -2.8083356897517419e+08 -2.7002645582205105e+08 -2.5680280160027117e+08 -2.4161263950586313e+08 -2.2507905181707093e+08 -2.0790487725457382e+08 -1.9075257646173233e+08 -1.7420052272098026e+08 -1.5866527883969626e+08 -1.4443690468833172e+08 -1.3164877952874769e+08 -1.2035764820208526e+08 -1.1054664024338207e+08 -1.0213890015163238e+08 -9.5060898749039099e+07 -8.9209829874304906e+07 -8.4471796055659518e+07 -8.0753630965847373e+07 -7.7918797614254624e+07 -7.5850834066208884e+07 -7.4413247704793528e+07 -7.3462811452810988e+07 -7.2878661500475287e+07 -7.2524671731439173e+07 -7.2299266132245138e+07 -7.2145071654830858e+07 -7.2054902594896063e+07 -7.1970027561259523e+07 -7.1886083901334792e+07 -7.1799159564558268e+07 -7.1709790403335571e+07 -7.1619313140813574e+07 -7.1510196882037252e+07 -7.1402586527667075e+07 -7.1287343749304056e+07 -7.1162328304619089e+07 -7.1025868501929551e+07 -7.0875933768516749e+07 -7.0710235888575956e+07 -7.0529589126222432e+07 -7.0314043603946552e+07 -7.0084276519315317e+07 -6.9826536261583835e+07 -6.9537066581411824e+07 -6.9211826289387390e+07 -6.8846646502877548e+07 -6.8437346897516936e+07 -6.7983255373396784e+07 -6.7465441712359458e+07 -6.6902367546939716e+07 -6.6284241923916563e+07 -6.5612497138352901e+07 -6.4892405959253393e+07 -6.4132944080840148e+07 -6.3351199666184463e+07 -6.2576234250026248e+07 -6.1831740535935000e+07 -6.1195187614626773e+07 -6.0737800295325167e+07 -6.0577349328232877e+07 -6.0872865193456434e+07 -6.1867638254135899e+07 -6.3929624235797331e+07 -6.7643798932364747e+07 -7.3962041201686785e+07 3.2835513164214367e+08 +1.9233744581527130e+00 -2.6272887267909646e+08 -2.6266893083230618e+08 -2.6257138654755172e+08 -2.6244734372298330e+08 -2.6232910994827104e+08 -2.6226590677616429e+08 -2.6227913726764497e+08 -2.6233187713475895e+08 -2.6238727100133225e+08 -2.6243855211437646e+08 -2.6249081596043783e+08 -2.6254526131310597e+08 -2.6260164583825141e+08 -2.6266044659279162e+08 -2.6272263302324986e+08 -2.6278905585003993e+08 -2.6286082980562264e+08 -2.6293954171647388e+08 -2.6302710133993939e+08 -2.6312567244921270e+08 -2.6323773753099376e+08 -2.6336601952070415e+08 -2.6351286656327894e+08 -2.6368188172366676e+08 -2.6388510327674887e+08 -2.6413127243895715e+08 -2.6442137994803259e+08 -2.6475981470918104e+08 -2.6515409360001230e+08 -2.6561315206611466e+08 -2.6614710830778587e+08 -2.6676728091484690e+08 -2.6748620326488242e+08 -2.6831758375812379e+08 -2.6927619165866321e+08 -2.7037757010642463e+08 -2.7163759590079117e+08 -2.7307174778893811e+08 -2.7469405409045559e+08 -2.7651549596920657e+08 -2.7870099755367690e+08 -2.8111940232333410e+08 -2.8375049336795640e+08 -2.8654992867834169e+08 -2.8943994925363708e+08 -2.9229849954843771e+08 -2.9494768817154300e+08 -2.9714356577141815e+08 -2.9857105520573401e+08 -2.9884811549818164e+08 -2.9755603385578102e+08 -2.9425970816109312e+08 -2.8857080892481583e+08 -2.8027412369727904e+08 -2.6934332852470493e+08 -2.5600375457544884e+08 -2.4071051455070651e+08 -2.2409015138776445e+08 -2.0684696757917941e+08 -1.8964292306754208e+08 -1.7305454360680133e+08 -1.5749569890090829e+08 -1.4325363679509264e+08 -1.3045902601467147e+08 -1.1916640040719545e+08 -1.0935713383168027e+08 -1.0095301159860361e+08 -9.3879591891311646e+07 -8.8033459564303771e+07 -8.3300268711813256e+07 -7.9586651688021883e+07 -7.6755899231763557e+07 -7.4691510281431824e+07 -7.3256970305203855e+07 -7.2309138474211961e+07 -7.1727269215434998e+07 -7.1375297272966713e+07 -7.1151732771351069e+07 -7.0999324950327501e+07 -7.0910435669904962e+07 -7.0826858260308206e+07 -7.0744240968474254e+07 -7.0658706768384919e+07 -7.0570771955931798e+07 -7.0481816566840559e+07 -7.0374247102621764e+07 -7.0268362982501358e+07 -7.0154967603409767e+07 -7.0031954708110049e+07 -6.9897679142435282e+07 -6.9750142582177550e+07 -6.9587093140145347e+07 -6.9409399537809566e+07 -6.9197094262917340e+07 -6.8970993457820684e+07 -6.8717363679111123e+07 -6.8432508314038426e+07 -6.8112450352819607e+07 -6.7753087098277539e+07 -6.7350304613802880e+07 -6.6903506402176969e+07 -6.6393741088704586e+07 -6.5839626994391009e+07 -6.5231335631152384e+07 -6.4570276549196824e+07 -6.3861638708343461e+07 -6.3114255204995573e+07 -6.2344942780398972e+07 -6.1582361076935418e+07 -6.0849530914517805e+07 -6.0223104199423514e+07 -5.9772996833855085e+07 -5.9615166912062295e+07 -5.9906003751261443e+07 -6.0884960974072032e+07 -6.2914179694202028e+07 -6.6569432595809646e+07 -7.2787070708359525e+07 3.2899225002841830e+08 +1.9283427809269711e+00 -2.6316285365868199e+08 -2.6310297893796480e+08 -2.6300554657189524e+08 -2.6288163781779394e+08 -2.6276353146397501e+08 -2.6270038471957171e+08 -2.6271357940386981e+08 -2.6276623163059047e+08 -2.6282152803068733e+08 -2.6287270742376709e+08 -2.6292485857961005e+08 -2.6297917703929585e+08 -2.6303541844180164e+08 -2.6309405714631185e+08 -2.6315605881710833e+08 -2.6322226977889329e+08 -2.6329379956785324e+08 -2.6337222827918801e+08 -2.6345945783421302e+08 -2.6355764269273132e+08 -2.6366925449966910e+08 -2.6379700329313523e+08 -2.6394322167741257e+08 -2.6411148668904278e+08 -2.6431379473778135e+08 -2.6455885922132030e+08 -2.6484765237509695e+08 -2.6518453051749706e+08 -2.6557696586365613e+08 -2.6603383950824508e+08 -2.6656520444452730e+08 -2.6718230087174878e+08 -2.6789756768617308e+08 -2.6872459909030485e+08 -2.6967802593914694e+08 -2.7077322315116781e+08 -2.7202586263461530e+08 -2.7345117316282940e+08 -2.7506287789795321e+08 -2.7687158562736911e+08 -2.7904050802614456e+08 -2.8143866011331630e+08 -2.8404498883932900e+08 -2.8681414873684508e+08 -2.8966720317260110e+08 -2.9248076051579553e+08 -2.9507549036710179e+08 -2.9720601901605034e+08 -2.9855606201215345e+08 -2.9874289185433000e+08 -2.9734803183138543e+08 -2.9393785530703396e+08 -2.8812700402904856e+08 -2.7970484936060804e+08 -2.6865068182333237e+08 -2.5519564354365903e+08 -2.3979989256950358e+08 -2.2309338652088308e+08 -2.0578184389703196e+08 -1.8852668325885704e+08 -1.7190255414067876e+08 -1.5632061742288923e+08 -1.4206530386741805e+08 -1.2926457406937301e+08 -1.1797075732107067e+08 -1.0816347990787418e+08 -9.9763176245355710e+07 -9.2694499299500942e+07 -8.6853431565414429e+07 -8.2125184219346151e+07 -7.8416192815713376e+07 -7.5589579886142060e+07 -7.3528808595055774e+07 -7.2097345578596950e+07 -7.1152139270373896e+07 -7.0572564906219140e+07 -7.0222620511114374e+07 -7.0000904241967738e+07 -6.9850288913747087e+07 -6.9762683258303493e+07 -6.9680407258995786e+07 -6.9599120156756297e+07 -6.9514980080115229e+07 -6.9428483724217743e+07 -6.9341054517183691e+07 -6.9235036420922980e+07 -6.9130883478440449e+07 -6.9019340790073156e+07 -6.8898336180945680e+07 -6.8766251110775173e+07 -6.8621119596411094e+07 -6.8460726183467925e+07 -6.8285994159261078e+07 -6.8076938564426541e+07 -6.7854514551899925e+07 -6.7605007040607050e+07 -6.7324779225391418e+07 -6.7009918460571654e+07 -6.6656388424242616e+07 -6.6260141758314192e+07 -6.5820657738831244e+07 -6.5318964003509045e+07 -6.4773835690565899e+07 -6.4175406807075791e+07 -6.3525064093092956e+07 -6.2827912458745897e+07 -6.2092641993201718e+07 -6.1335797236570917e+07 -6.0585634742849700e+07 -5.9864501730175100e+07 -5.9248230279690288e+07 -5.8805423755780771e+07 -5.8650222351980664e+07 -5.8936366722564586e+07 -5.9899462716078259e+07 -6.1895820121760286e+07 -6.5491982032033175e+07 -7.1608727371313140e+07 3.2962563678337389e+08 +1.9333111037012292e+00 -2.6359100924505839e+08 -2.6353120066989067e+08 -2.6343387751491973e+08 -2.6331010843759283e+08 -2.6319212696506718e+08 -2.6312903731004980e+08 -2.6314219563165870e+08 -2.6319475932370484e+08 -2.6324995726477891e+08 -2.6330103391327432e+08 -2.6335307108184409e+08 -2.6340726112943670e+08 -2.6346335766413736e+08 -2.6352183225529918e+08 -2.6358364672501573e+08 -2.6364964297191092e+08 -2.6372092523449311e+08 -2.6379906678882822e+08 -2.6388596159982669e+08 -2.6398375469219461e+08 -2.6409490671477589e+08 -2.6422211462297168e+08 -2.6436769525168261e+08 -2.6453519921450835e+08 -2.6473658052113551e+08 -2.6498052442747691e+08 -2.6526798441947749e+08 -2.6560328380065283e+08 -2.6599384956476653e+08 -2.6644850780194509e+08 -2.6697724553848833e+08 -2.6759122370821378e+08 -2.6830278572025451e+08 -2.6912541043073732e+08 -2.7007358897636575e+08 -2.7116252657972986e+08 -2.7240768860927343e+08 -2.7382405204431015e+08 -2.7542503291735351e+08 -2.7722086555764455e+08 -2.7937303413747811e+08 -2.8175073244737589e+08 -2.8433206922993624e+08 -2.8707069437695932e+08 -2.8988649399527109e+08 -2.9265474323079014e+08 -2.9519467922215056e+08 -2.9725951550771433e+08 -2.9853177827926016e+08 -2.9862807852485466e+08 -2.9713020686280984e+08 -2.9360604677059621e+08 -2.8767324358373964e+08 -2.7912577464134401e+08 -2.6794855030377433e+08 -2.5437850792246646e+08 -2.3888081645195851e+08 -2.2208880215870091e+08 -2.0470955192681956e+08 -1.8740390253291532e+08 -1.7074459892473510e+08 -1.5514007773640114e+08 -1.4087194781942222e+08 -1.2806546420236199e+08 -1.1677075815313813e+08 -1.0696571653051122e+08 -9.8569431163870946e+07 -9.1505657219984859e+07 -8.5669781445391223e+07 -8.0946577598430514e+07 -7.7242288934795797e+07 -7.4419873826200262e+07 -7.2362762999565899e+07 -7.0934407327768236e+07 -6.9991847505547792e+07 -6.9414582135209069e+07 -6.9066674931254566e+07 -6.8846813967473477e+07 -6.8697996913242772e+07 -6.8611678690219447e+07 -6.8530707849238619e+07 -6.8450754719373792e+07 -6.8368012712423235e+07 -6.8282958879108995e+07 -6.8197060118778184e+07 -6.8092597918324664e+07 -6.7990181046848193e+07 -6.7880496286733821e+07 -6.7761505642347082e+07 -6.7631617262546629e+07 -6.7488897596962392e+07 -6.7331167727216318e+07 -6.7159405613356918e+07 -6.6953609036550239e+07 -6.6734872222948216e+07 -6.6489498647654802e+07 -6.6213911482825734e+07 -6.5904262629080825e+07 -6.5556582327883035e+07 -6.5166889988422364e+07 -6.4734740828578375e+07 -6.4241141667056687e+07 -6.3705024584869251e+07 -6.3116486114748031e+07 -6.2476890121987253e+07 -6.1791257228798106e+07 -6.1068134112026110e+07 -6.0323792339388594e+07 -5.9586084191991284e+07 -5.8876681586917639e+07 -5.8270594164675966e+07 -5.7835109158429675e+07 -5.7682543669117652e+07 -5.7963982264885984e+07 -5.8911172098199867e+07 -6.0874575090598539e+07 -6.4411478529400915e+07 -7.0427045408031151e+07 3.3025528878499550e+08 +1.9382794264754872e+00 -2.6401331593064803e+08 -2.6395357235414547e+08 -2.6385636445785075e+08 -2.6373273386344451e+08 -2.6361487640452111e+08 -2.6355184362364277e+08 -2.6356496480471250e+08 -2.6361743936302033e+08 -2.6367253789626148e+08 -2.6372351078674883e+08 -2.6377543266783506e+08 -2.6382949277581635e+08 -2.6388544269906831e+08 -2.6394375111805755e+08 -2.6400537594496915e+08 -2.6407115462920272e+08 -2.6414218600721905e+08 -2.6422003645229414e+08 -2.6430659184912282e+08 -2.6440398766707107e+08 -2.6451467340297845e+08 -2.6464133274651986e+08 -2.6478626653382522e+08 -2.6495299856378341e+08 -2.6515343990868899e+08 -2.6539624736188415e+08 -2.6568235541134340e+08 -2.6601605392152187e+08 -2.6640472410585979e+08 -2.6685713639755186e+08 -2.6738321109863955e+08 -2.6799402900428170e+08 -2.6870183703491032e+08 -2.6951999755404079e+08 -2.7046286067901814e+08 -2.7154546046790731e+08 -2.7278305410663199e+08 -2.7419036497551334e+08 -2.7578050001929617e+08 -2.7756331704640269e+08 -2.7969855774733126e+08 -2.8205560192965257e+08 -2.8461171811144120e+08 -2.8731955042660797e+08 -2.9009780817796290e+08 -2.9282043624751145e+08 -2.9530524596785027e+08 -2.9730404984385550e+08 -2.9849820275209218e+08 -2.9850367922964686e+08 -2.9690256842551416e+08 -2.9326429839204270e+08 -2.8720955008771706e+08 -2.7853692854488581e+08 -2.6723696883113357e+08 -2.5355238735154557e+08 -2.3795332925311130e+08 -2.2107644335729772e+08 -2.0363013745807061e+08 -1.8627462642566276e+08 -1.6958072257631969e+08 -1.5395412317166394e+08 -1.3967361055455205e+08 -1.2686173690663348e+08 -1.1556644209312519e+08 -1.0576388173732112e+08 -9.7371813405036926e+07 -9.0313101877643794e+07 -8.4482544750421733e+07 -7.9764483848115221e+07 -7.6064974610389665e+07 -7.3246815279648364e+07 -7.1193407466572747e+07 -6.9768189334868535e+07 -6.8828296823299363e+07 -6.8253354444206610e+07 -6.7907493998481497e+07 -6.7689495350883231e+07 -6.7542482296584323e+07 -6.7457455275230467e+07 -6.7377793302696094e+07 -6.7299177889290065e+07 -6.7217837857907966e+07 -6.7134230571564645e+07 -6.7049866478226334e+07 -6.6946964656103097e+07 -6.6846288698608913e+07 -6.6738467050669104e+07 -6.6621495991284333e+07 -6.6493810433220714e+07 -6.6353509349537499e+07 -6.6198450460151315e+07 -6.6029666503070250e+07 -6.5827138187557347e+07 -6.5612098872513711e+07 -6.5370870782344423e+07 -6.5099937234033361e+07 -6.4795514855249688e+07 -6.4453700636895135e+07 -6.4070580942094311e+07 -6.3645787097271159e+07 -6.3160305270632863e+07 -6.2633224607901730e+07 -6.2054604198557697e+07 -6.1425784969275475e+07 -6.0751703018664002e+07 -6.0040761210096717e+07 -5.9308957375616297e+07 -5.8583738350787401e+07 -5.7886099071571536e+07 -5.7290224146388113e+07 -5.6862081121950239e+07 -5.6712158867515936e+07 -5.6988878518461332e+07 -5.7920117720927268e+07 -5.9850474154975183e+07 -6.3327953357067332e+07 -6.9242059015175700e+07 3.3088120303218561e+08 +1.9432477492497453e+00 -2.6442975485792604e+08 -2.6437007825114167e+08 -2.6427297733244306e+08 -2.6414948975040227e+08 -2.6403176083400807e+08 -2.6396878332368881e+08 -2.6398186631305131e+08 -2.6403425115437013e+08 -2.6408924936585066e+08 -2.6414011747507674e+08 -2.6419192277612221e+08 -2.6424585140682933e+08 -2.6430165297660553e+08 -2.6435979316941532e+08 -2.6442122591210148e+08 -2.6448678418858010e+08 -2.6455756132563698e+08 -2.6463511671409684e+08 -2.6472132803272462e+08 -2.6481832107496956e+08 -2.6492853402986366e+08 -2.6505463713939351e+08 -2.6519891501187360e+08 -2.6536486423931819e+08 -2.6556435242259625e+08 -2.6580600756969842e+08 -2.6609074492460117e+08 -2.6642282048758700e+08 -2.6680956913519770e+08 -2.6725970499257833e+08 -2.6778308088260272e+08 -2.6839069659111634e+08 -2.6909470155184954e+08 -2.6990834049350321e+08 -2.7084582121726793e+08 -2.7192200515461850e+08 -2.7315193967958522e+08 -2.7455009277499503e+08 -2.7612926035748565e+08 -2.7789892167123634e+08 -2.8001706101655978e+08 -2.8235325147540820e+08 -2.8488391937917656e+08 -2.8756070205220813e+08 -2.9030113253126293e+08 -2.9297782849075168e+08 -2.9540718222138983e+08 -2.9733961702159858e+08 -2.9845533458700365e+08 -2.9836969810390943e+08 -2.9666512640588880e+08 -2.9291262640772122e+08 -2.8673594640689206e+08 -2.7793834040298629e+08 -2.6651597254509082e+08 -2.5271732168864819e+08 -2.3701747419038489e+08 -2.2005635528411931e+08 -2.0254364634915814e+08 -1.8513890050941306e+08 -1.6841096972630411e+08 -1.5276279705713356e+08 -1.3847033396450949e+08 -1.2565343265842640e+08 -1.1435784831088209e+08 -1.0455801354431367e+08 -9.6170359997370869e+07 -8.9116869475052088e+07 -8.3291757004547417e+07 -7.8578937945166975e+07 -7.4884284385449529e+07 -7.2070438452733055e+07 -7.0020775946391717e+07 -6.8598725360681236e+07 -6.7661520845839709e+07 -6.7088915353644125e+07 -6.6745111156263776e+07 -6.6528981773842089e+07 -6.6383778390315749e+07 -6.6300046301913008e+07 -6.6221696869726755e+07 -6.6144422878340401e+07 -6.6064488687822424e+07 -6.5982331931129284e+07 -6.5899506681158252e+07 -6.5798169674403384e+07 -6.5699239423784144e+07 -6.5593286018197425e+07 -6.5478340105891310e+07 -6.5352863437398873e+07 -6.5214987599117920e+07 -6.5062607050109245e+07 -6.4896809410546631e+07 -6.4697558504912086e+07 -6.4486226881518118e+07 -6.4249155706027098e+07 -6.3982888606350124e+07 -6.3683707115620889e+07 -6.3347775158652462e+07 -6.2971246237197541e+07 -6.2553827950877704e+07 -6.2076485985688120e+07 -6.1558466670473360e+07 -6.0989791683405772e+07 -6.0371778949039958e+07 -5.9709279809251472e+07 -5.9010552917086028e+07 -5.8291321613402128e+07 -5.7578626127483532e+07 -5.6892782752591655e+07 -5.6307148498863734e+07 -5.5886367708678015e+07 -5.5739095933342047e+07 -5.6011083605587512e+07 -5.6926328166589342e+07 -5.8823546850239098e+07 -6.2241437764425144e+07 -6.8053802367667526e+07 3.3150337664407486e+08 +1.9482160720240034e+00 -2.6484030720806372e+08 -2.6478069703160831e+08 -2.6468371089846149e+08 -2.6456036041310892e+08 -2.6444275817173564e+08 -2.6437983582238331e+08 -2.6439288015568563e+08 -2.6444517441431245e+08 -2.6450007136018264e+08 -2.6455083363814631e+08 -2.6460252107992941e+08 -2.6465631668989503e+08 -2.6471196816506469e+08 -2.6476993808158615e+08 -2.6483117629883769e+08 -2.6489651132637641e+08 -2.6496703086657226e+08 -2.6504428725713098e+08 -2.6513014983860037e+08 -2.6522673461195767e+08 -2.6533646829988453e+08 -2.6546200751708031e+08 -2.6560562041338387e+08 -2.6577077598544636e+08 -2.6596929782686707e+08 -2.6620978483859205e+08 -2.6649313277544487e+08 -2.6682356335021445e+08 -2.6720836454629830e+08 -2.6765619353215781e+08 -2.6817683489799327e+08 -2.6878120655267996e+08 -2.6948135944714481e+08 -2.7029041953920960e+08 -2.7122245102195919e+08 -2.7229214124639654e+08 -2.7351432615116256e+08 -2.7490321653809476e+08 -2.7647129536916780e+08 -2.7822766130067360e+08 -2.8032852640606380e+08 -2.8264366431255466e+08 -2.8514865725310826e+08 -2.8779413475851226e+08 -2.9049645421869731e+08 -2.9312690925365573e+08 -2.9550047998384082e+08 -2.9736621243686837e+08 -2.9840317334898400e+08 -2.9822613969606864e+08 -2.9641789109917134e+08 -2.9255104744770944e+08 -2.8625245577197373e+08 -2.7733003987058866e+08 -2.6578559685729888e+08 -2.5187335100713015e+08 -2.3607329464035496e+08 -2.1902858321509242e+08 -2.0145012452569404e+08 -1.8399677039098397e+08 -1.6723538501670575e+08 -1.5156614271729714e+08 -1.3726215992838925e+08 -1.2444059191505273e+08 -1.1314501595477635e+08 -1.0334814994492811e+08 -9.4965107946122468e+07 -8.7916996191458404e+07 -8.2097453708693177e+07 -7.7389974843576252e+07 -7.3700252780462950e+07 -7.0890777528907672e+07 -6.8844902366630375e+07 -6.7426049143485844e+07 -6.6491553173128299e+07 -6.5921298361970156e+07 -6.5579559826368935e+07 -6.5365306596035182e+07 -6.5221918498796545e+07 -6.5139485036658108e+07 -6.5062451778876677e+07 -6.4986522876216389e+07 -6.4907998351566285e+07 -6.4827296065504782e+07 -6.4746013791208319e+07 -6.4646245991523348e+07 -6.4549066190540291e+07 -6.4444986103788957e+07 -6.4332070842467368e+07 -6.4208809068080723e+07 -6.4073365068839923e+07 -6.3923670143349752e+07 -6.3760866896499224e+07 -6.3564902454683982e+07 -6.3357288609487049e+07 -6.3124385658706926e+07 -6.2862797705616839e+07 -6.2568871365581371e+07 -6.2238837679505862e+07 -6.1868917470711268e+07 -6.1458894774493009e+07 -6.0989714963001870e+07 -6.0480781662957154e+07 -5.9922079173791826e+07 -5.9314902355266169e+07 -5.8664017561710075e+07 -5.7977538843078665e+07 -5.7270914301500641e+07 -5.6570776410969533e+07 -5.5896761179493278e+07 -5.5321395477288507e+07 -5.4907996962276638e+07 -5.4763382834346399e+07 -5.5030625630008116e+07 -5.5929831998591095e+07 -5.7793822692157134e+07 -6.1151962979975678e+07 -6.6862309617683068e+07 3.3212180685933393e+08 +1.9531843947982614e+00 -2.6524494898589978e+08 -2.6518540564677456e+08 -2.6508853159738660e+08 -2.6496532186151481e+08 -2.6484784621790409e+08 -2.6478498153664461e+08 -2.6479798643354744e+08 -2.6485018914293361e+08 -2.6490498380729634e+08 -2.6495563916880155e+08 -2.6500720748687991e+08 -2.6506086853068861e+08 -2.6511636817007512e+08 -2.6517416576331025e+08 -2.6523520701618183e+08 -2.6530031595578662e+08 -2.6537057454651400e+08 -2.6544752800208151e+08 -2.6553303719440642e+08 -2.6562920821259737e+08 -2.6573845615674925e+08 -2.6586342383438087e+08 -2.6600636270692614e+08 -2.6617071378691608e+08 -2.6636825612626642e+08 -2.6660755919870475e+08 -2.6688949902423215e+08 -2.6721826260558593e+08 -2.6760109047937226e+08 -2.6804658220914084e+08 -2.6856445340173435e+08 -2.6916553922365516e+08 -2.6986179115164012e+08 -2.7066621523945367e+08 -2.7159273078598952e+08 -2.7265584961449951e+08 -2.7387019461534488e+08 -2.7524971763689047e+08 -2.7680658677492857e+08 -2.7854951809497744e+08 -2.8063293667842484e+08 -2.8292682398074961e+08 -2.8540591627755469e+08 -2.8801983438831657e+08 -2.9068376075683904e+08 -2.9326766819830877e+08 -2.9558513164061838e+08 -2.9738383188235712e+08 -2.9834171901044446e+08 -2.9807300896560460e+08 -2.9616087320732033e+08 -2.9217957853116703e+08 -2.8575910177483428e+08 -2.7671205692234170e+08 -2.6504587744767198e+08 -2.5102051559286147e+08 -2.3512083413615909e+08 -2.1799317253233030e+08 -2.0034961797720498e+08 -1.8284828170984572e+08 -1.6605401310004842e+08 -1.5036420347201583e+08 -1.3604913031069928e+08 -1.2322325511468048e+08 -1.1192798415086028e+08 -1.0213432890887150e+08 -9.3756094232496649e+07 -8.6713518181832761e+07 -8.0899670339399651e+07 -7.6197629473230362e+07 -7.2512914291850850e+07 -6.9707866668245301e+07 -6.7665820631521001e+07 -6.6250194398480922e+07 -6.5318427381971985e+07 -6.4750536944308199e+07 -6.4410873407146409e+07 -6.4198503154079311e+07 -6.4056935903595157e+07 -6.3975804723049559e+07 -6.3900091235650174e+07 -6.3825511049987599e+07 -6.3748399975731887e+07 -6.3669156059674054e+07 -6.3589420849356666e+07 -6.3491226603064544e+07 -6.3395801944299489e+07 -6.3293600199322164e+07 -6.3182721034811579e+07 -6.3061680095401600e+07 -6.2928674459387548e+07 -6.2781672363730989e+07 -6.2621871499043189e+07 -6.2429202480493836e+07 -6.2225316393594965e+07 -6.1996592858334891e+07 -6.1739696615707621e+07 -6.1451039538416445e+07 -6.1126919963817239e+07 -6.0763626217744440e+07 -6.0361018931647159e+07 -5.9900023331907287e+07 -5.9400200454476878e+07 -5.8851497253146186e+07 -5.8255185461088032e+07 -5.7615946216462836e+07 -5.6941748577773347e+07 -5.6247764668482073e+07 -5.5560218070283100e+07 -5.4898062882318787e+07 -5.4332993317576326e+07 -5.3926996907090731e+07 -5.3785047518836416e+07 -5.4047532676084749e+07 -5.4930657760640115e+07 -5.6761331176226914e+07 -6.0059560210888430e+07 -6.5667614893957876e+07 3.3273649103548664e+08 +1.9581527175725195e+00 -2.6564365951786563e+08 -2.6558418570105711e+08 -2.6548742770604074e+08 -2.6536435532346642e+08 -2.6524700711937749e+08 -2.6518420003750518e+08 -2.6519716520528883e+08 -2.6524927552483696e+08 -2.6530396686592659e+08 -2.6535451419552732e+08 -2.6540596213711292e+08 -2.6545948707420295e+08 -2.6551483313738221e+08 -2.6557245636170143e+08 -2.6563329821312955e+08 -2.6569817822899598e+08 -2.6576817252031738e+08 -2.6584481910876614e+08 -2.6592997026642862e+08 -2.6602572205208978e+08 -2.6613447778397545e+08 -2.6625886628633395e+08 -2.6640112210038596e+08 -2.6656465786902177e+08 -2.6676120756839353e+08 -2.6699931092342550e+08 -2.6727982397475487e+08 -2.6760689859497848e+08 -2.6798772732049695e+08 -2.6843085146478578e+08 -2.6894591690108001e+08 -2.6954367519242013e+08 -2.7023597735155702e+08 -2.7103570840070915e+08 -2.7195664146404368e+08 -2.7301311139713985e+08 -2.7421952643755734e+08 -2.7558957772016323e+08 -2.7713511657915664e+08 -2.7886447450553954e+08 -2.8093027489664543e+08 -2.8320271433088344e+08 -2.8565568132050562e+08 -2.8823778712195164e+08 -2.9086304001493675e+08 -2.9340009535411507e+08 -2.9566112995952892e+08 -2.9739247154779637e+08 -2.9827097194981891e+08 -2.9791031128170812e+08 -2.9589408383607161e+08 -2.9179823706647760e+08 -2.8525590836517757e+08 -2.7608442184879816e+08 -2.6429685026199833e+08 -2.5015885594018725e+08 -2.3416013636448634e+08 -2.1695016872176230e+08 -1.9924217275561401e+08 -1.8169348013626984e+08 -1.6486689863714346e+08 -1.4915702263471410e+08 -1.3483128696096444e+08 -1.2200146267467330e+08 -1.1070679200180981e+08 -1.0091658838103686e+08 -9.2543355812525064e+07 -8.5506471576129615e+07 -7.9698442348639116e+07 -7.5001936739474654e+07 -7.1322303391790062e+07 -6.8521740006391034e+07 -6.6483564621368371e+07 -6.5071194816608332e+07 -6.4142177025172256e+07 -6.3576664552004792e+07 -6.3239085273260653e+07 -6.3028604760760076e+07 -6.2888863862393379e+07 -6.2809038580767773e+07 -6.2734648421810977e+07 -6.2661420542713486e+07 -6.2585726663189746e+07 -6.2507944974904276e+07 -6.2429760872798949e+07 -6.2333144480898127e+07 -6.2239479606938377e+07 -6.2139161173032135e+07 -6.2030323492996834e+07 -6.1911509266281463e+07 -6.1780948448064245e+07 -6.1636646311628960e+07 -6.1479855733123705e+07 -6.1290491002825223e+07 -6.1090342547885701e+07 -6.0865809499584742e+07 -6.0613617397535697e+07 -6.0330243544683911e+07 -6.0012053753392585e+07 -5.9655404030935600e+07 -5.9260231763347469e+07 -5.8807442199424818e+07 -5.8316753892068595e+07 -5.7778076483197585e+07 -5.7192658517961681e+07 -5.6565095692664132e+07 -5.5903211689656913e+07 -5.5221901922084838e+07 -5.4546979953821927e+07 -5.3896716370389953e+07 -5.3341970235217512e+07 -5.2943395547498472e+07 -5.2804117915318169e+07 -5.3061832808052100e+07 -5.3928833976047933e+07 -5.5726101776769228e+07 -5.8964260641918801e+07 -6.4469752300782152e+07 3.3334742664822406e+08 +1.9631210403467776e+00 -2.6603642532717291e+08 -2.6597701876733625e+08 -2.6588037210453689e+08 -2.6575744446913922e+08 -2.6564022226279345e+08 -2.6557747198769316e+08 -2.6559039665206274e+08 -2.6564241388127521e+08 -2.6569700091832033e+08 -2.6574743908440244e+08 -2.6579876540466192e+08 -2.6585215270472655e+08 -2.6590734345168954e+08 -2.6596479026157847e+08 -2.6602543027789173e+08 -2.6609007853675222e+08 -2.6615980518248898e+08 -2.6623614097635853e+08 -2.6632092946041152e+08 -2.6641625654438421e+08 -2.6652451360551929e+08 -2.6664831530878597e+08 -2.6678987904388803e+08 -2.6695258870008102e+08 -2.6714813264273360e+08 -2.6738502052826476e+08 -2.6766408817543009e+08 -2.6798945190524560e+08 -2.6836825570338732e+08 -2.6880898198804182e+08 -2.6932120615367007e+08 -2.6991559529866391e+08 -2.7060389898822069e+08 -2.7139888008789742e+08 -2.7231416427319145e+08 -2.7336390799829769e+08 -2.7456230325453359e+08 -2.7592277871459347e+08 -2.7745686707031804e+08 -2.7917251327463078e+08 -2.8122052442479575e+08 -2.8347131952621460e+08 -2.8589793757455558e+08 -2.8844797947767192e+08 -2.9103428021376222e+08 -2.9352418111756629e+08 -2.9572846808998358e+08 -2.9739212801621020e+08 -2.9819093294877416e+08 -2.9773805242076159e+08 -2.9561753449325836e+08 -2.9140704084465569e+08 -2.8474289984785277e+08 -2.7544716525475574e+08 -2.6353855150702637e+08 -2.4928841274971506e+08 -2.3319124516274169e+08 -2.1589961736997741e+08 -1.9812783497291416e+08 -1.8053241136926427e+08 -1.6367408629559997e+08 -1.4794464351125142e+08 -1.3360867171174261e+08 -1.2077525499071942e+08 -1.0948147858592765e+08 -9.9694966280931905e+07 -9.1326929616045222e+07 -8.4295892478135481e+07 -7.8493805162090272e+07 -7.3802931521824017e+07 -7.0128454526812777e+07 -6.7332431653812736e+07 -6.5298168191162013e+07 -6.3889084063998155e+07 -6.2962835630751304e+07 -6.2399714611585878e+07 -6.2064228774665825e+07 -6.1855644704114236e+07 -6.1717735608353764e+07 -6.1639219805072747e+07 -6.1566156494606681e+07 -6.1494284473200314e+07 -6.1420011492258340e+07 -6.1343695847926855e+07 -6.1267066854431391e+07 -6.1172032572668396e+07 -6.1080132076073922e+07 -6.0981701868933678e+07 -6.0874911003047593e+07 -6.0758329303324752e+07 -6.0630219687857181e+07 -6.0488624563328378e+07 -6.0334852089512244e+07 -6.0148800418132447e+07 -5.9952399362493746e+07 -5.9732067753460921e+07 -5.9484592088250294e+07 -5.9206515271279402e+07 -5.8894270766411141e+07 -5.8544282439477943e+07 -5.8156564587520376e+07 -5.7712002649614982e+07 -5.7230472799851194e+07 -5.6701847402840212e+07 -5.6127351755009435e+07 -5.5511495887192324e+07 -5.4861957725347854e+07 -5.4193355248335026e+07 -5.3531090888722815e+07 -5.2892750132240437e+07 -5.2348354425048508e+07 -5.1957220867060341e+07 -5.1820621931509532e+07 -5.2073554069455624e+07 -5.2924389146993108e+07 -5.4688163946339160e+07 -5.7866095434728391e+07 -6.3268755917242281e+07 3.3395461129072005e+08 +1.9680893631210357e+00 -2.6642322233924749e+08 -2.6636388341738695e+08 -2.6626735333891526e+08 -2.6614456471942067e+08 -2.6602747111226147e+08 -2.6596477775249693e+08 -2.6597766133337143e+08 -2.6602958473553532e+08 -2.6608406657201305e+08 -2.6613439444265011e+08 -2.6618559790033016e+08 -2.6623884604577857e+08 -2.6629387973817453e+08 -2.6635114808664930e+08 -2.6641158383789089e+08 -2.6647599750871718e+08 -2.6654545316689253e+08 -2.6662147424332255e+08 -2.6670589542232743e+08 -2.6680079234355426e+08 -2.6690854428491881e+08 -2.6703175157770258e+08 -2.6717261422850832e+08 -2.6733448698892400e+08 -2.6752901208125114e+08 -2.6776466877317983e+08 -2.6804227241838723e+08 -2.6836590336856624e+08 -2.6874265650788444e+08 -2.6918095471727562e+08 -2.6969030216747516e+08 -2.7028128063602144e+08 -2.7096553725839394e+08 -2.7175571162461704e+08 -2.7266528069212419e+08 -2.7370822108901870e+08 -2.7489850697432923e+08 -2.7624930282307231e+08 -2.7777182082006401e+08 -2.7947361743726170e+08 -2.8150366892788708e+08 -2.8373262404102212e+08 -2.8613267055567551e+08 -2.8865039831017447e+08 -2.9119746992577505e+08 -2.9363991625162774e+08 -2.9578713956246430e+08 -2.9738279826520383e+08 -2.9810160319226092e+08 -2.9755623856405848e+08 -2.9533123708574134e+08 -2.9100600804018217e+08 -2.8422010088016087e+08 -2.7480031805390185e+08 -2.6277101764869186e+08 -2.4840922692466787e+08 -2.3221420451560691e+08 -2.1484156416191474e+08 -1.9700665079898271e+08 -1.7936512113502628e+08 -1.6247562074836543e+08 -1.4672710939840966e+08 -1.3238132637800260e+08 -1.1954467243557924e+08 -1.0825208295590729e+08 -9.8469500501253784e+07 -9.0106852546189323e+07 -8.3081816964640304e+07 -7.7285794178946465e+07 -7.2600648673296183e+07 -6.8931402117425025e+07 -6.6139975694768369e+07 -6.4109665170051225e+07 -6.2703895780985393e+07 -6.1780436700806417e+07 -6.1219720523954265e+07 -6.0886337235701874e+07 -6.0679656246829890e+07 -6.0543584348980770e+07 -6.0466381565649405e+07 -6.0394648585816957e+07 -6.0324135934653305e+07 -6.0251287515938178e+07 -6.0176441690186061e+07 -6.0101371761711970e+07 -6.0007923800562955e+07 -5.9917792223792978e+07 -5.9821255105783261e+07 -5.9716516325674452e+07 -5.9602172904046081e+07 -5.9476520806962594e+07 -5.9337639670237489e+07 -5.9186893034222305e+07 -5.9004163097926766e+07 -5.8811519102835402e+07 -5.8595399766273960e+07 -5.8352652700420991e+07 -5.8079886580577828e+07 -5.7773602696728557e+07 -5.7430292948431708e+07 -5.7050048697946422e+07 -5.6613735742662385e+07 -5.6141387978391610e+07 -5.5622840527640440e+07 -5.5059295378045090e+07 -5.4455176674023032e+07 -5.3818016208805069e+07 -5.3162153810943983e+07 -5.2512579679844961e+07 -5.1886192634354673e+07 -5.1352174060089745e+07 -5.0968500827986561e+07 -5.0834587453747831e+07 -5.1082724482182533e+07 -5.1917351753791869e+07 -5.3647547114926070e+07 -5.6765095727154635e+07 -6.2064659796148732e+07 3.3455804267294782e+08 +1.9730576858952937e+00 -2.6680403406628865e+08 -2.6674476304411614e+08 -2.6664834375123733e+08 -2.6652570226097083e+08 -2.6640873553659666e+08 -2.6634609737024140e+08 -2.6635894013945499e+08 -2.6641076890731031e+08 -2.6646514467127529e+08 -2.6651536112256512e+08 -2.6656644047441217e+08 -2.6661954795964542e+08 -2.6667442286141673e+08 -2.6673151069881865e+08 -2.6679173976013026e+08 -2.6685591601353991e+08 -2.6692509734702694e+08 -2.6700079978822088e+08 -2.6708484903758526e+08 -2.6717931034465250e+08 -2.6728655072730929e+08 -2.6740915601098284e+08 -2.6754930858666447e+08 -2.6771033368746099e+08 -2.6790382685922098e+08 -2.6813823666178843e+08 -2.6841435774158460e+08 -2.6873623406321704e+08 -2.6911091086180490e+08 -2.6954675083985555e+08 -2.7005318620205373e+08 -2.7064071255124062e+08 -2.7132087361514360e+08 -2.7210618459369284e+08 -2.7300997246313566e+08 -2.7404603260718977e+08 -2.7522811977744383e+08 -2.7656913252655119e+08 -2.7807996068479246e+08 -2.7976777031884247e+08 -2.8177969237156880e+08 -2.8398661266202438e+08 -2.8635986610297298e+08 -2.8884503081124270e+08 -2.9135259807399797e+08 -2.9374729188499248e+08 -2.9583713828699106e+08 -2.9736447966415524e+08 -2.9800298426550871e+08 -2.9736487629675102e+08 -2.9503520391675735e+08 -2.9059515720597708e+08 -2.8368753646718168e+08 -2.7414391146702713e+08 -2.6199428540786353e+08 -2.4752133956771150e+08 -2.3122905855286211e+08 -2.1377605487869647e+08 -1.9587866645922798e+08 -1.7819165518462440e+08 -1.6127154667205948e+08 -1.4550446358228281e+08 -1.3114929275552359e+08 -1.1830975535816962e+08 -1.0701864413823968e+08 -9.7240228907196209e+07 -8.8883161478004977e+07 -8.1864281084673688e+07 -7.6074444770580992e+07 -7.1395123019636184e+07 -6.7731180556658253e+07 -6.4944406186717235e+07 -6.2918089360401705e+07 -6.1515663581243522e+07 -6.0595013711171851e+07 -6.0036715663523085e+07 -5.9705443954312511e+07 -5.9500672625109918e+07 -5.9366443265589975e+07 -5.9290557005790211e+07 -5.9220157800958343e+07 -5.9151007994089857e+07 -5.9079587761067450e+07 -5.9006215486970112e+07 -5.8932708536046855e+07 -5.8840851060791366e+07 -5.8752492896513686e+07 -5.8657853676345326e+07 -5.8555172195730746e+07 -5.8443072740015894e+07 -5.8319884407455608e+07 -5.8183724157749489e+07 -5.8036011007344015e+07 -5.7856611388212577e+07 -5.7667734008728184e+07 -5.7455837658785358e+07 -5.7217831221324883e+07 -5.6950389309800088e+07 -5.6650081213137366e+07 -5.6313467037821651e+07 -5.5940715363750309e+07 -5.5512672514099002e+07 -5.5049530203814544e+07 -5.4541086348999619e+07 -5.3988519569103070e+07 -5.3396167903474808e+07 -5.2771416640596747e+07 -5.2128326750448391e+07 -5.1491475109377705e+07 -5.0877072320693940e+07 -5.0353457291138954e+07 -4.9977263370190538e+07 -4.9846042346235894e+07 -5.0089372046094656e+07 -5.0907750254195347e+07 -5.2604280689120628e+07 -5.5661292632306300e+07 -6.0857497963537075e+07 3.3515771862099850e+08 +1.9780260086695518e+00 -2.6717884035525137e+08 -2.6711963697260994e+08 -2.6702333196270537e+08 -2.6690083280743447e+08 -2.6678399547971931e+08 -2.6672141245399919e+08 -2.6673421431671554e+08 -2.6678594751219213e+08 -2.6684021630470443e+08 -2.6689032022381622e+08 -2.6694127421875042e+08 -2.6699423954671103e+08 -2.6704895392568013e+08 -2.6710585920028681e+08 -2.6716587915175429e+08 -2.6722981515965724e+08 -2.6729871883760676e+08 -2.6737409872922134e+08 -2.6745777143238312e+08 -2.6755179168230274e+08 -2.6765851407804400e+08 -2.6778050976770496e+08 -2.6791994329323807e+08 -2.6808010998993853e+08 -2.6827255819477350e+08 -2.6850570544118708e+08 -2.6878032542719859e+08 -2.6910042531401628e+08 -2.6947300014042318e+08 -2.6990635179211205e+08 -2.7040983976750308e+08 -2.7099387264401710e+08 -2.7166988976717174e+08 -2.7245028083690453e+08 -2.7334822159056264e+08 -2.7437732475751919e+08 -2.7555112411542135e+08 -2.7688225058374006e+08 -2.7838126980458742e+08 -2.8005495553698260e+08 -2.8204857902297169e+08 -2.8423327048642355e+08 -2.8657951037921184e+08 -2.8903186450863266e+08 -2.9149965393246102e+08 -2.9384629951013541e+08 -2.9587845855246478e+08 -2.9733716997316772e+08 -2.9789507815316552e+08 -2.9716397260456437e+08 -2.9472944768440825e+08 -2.9017450727126306e+08 -2.8314523196089256e+08 -2.7347797701811469e+08 -2.6120839175810927e+08 -2.4662479197811210e+08 -2.3023585154662508e+08 -2.1270313539436254e+08 -1.9474392823268932e+08 -1.7701205929282206e+08 -1.6006190874516484e+08 -1.4427674933765459e+08 -1.2991261261971623e+08 -1.1707054408228317e+08 -1.0578120113169716e+08 -9.6007189335467845e+07 -8.7655893257623568e+07 -8.0643320858363554e+07 -7.4859792279895753e+07 -7.0186389358057484e+07 -6.6527824209768131e+07 -6.3745757159271583e+07 -6.1723474536955677e+07 -6.0324421050858952e+07 -5.9406600110174604e+07 -5.8850733377419055e+07 -5.8521582201085441e+07 -5.8318727048030131e+07 -5.8186345512242727e+07 -5.8111779241883352e+07 -5.8042717218518518e+07 -5.7974933691571184e+07 -5.7904945227284543e+07 -5.7833050196600087e+07 -5.7761110091894075e+07 -5.7670847222543225e+07 -5.7584266913470924e+07 -5.7491530346589342e+07 -5.7390911321222693e+07 -5.7281061456125990e+07 -5.7160343064878479e+07 -5.7026910524920918e+07 -5.6882238422582701e+07 -5.6706177608466879e+07 -5.6521076293523997e+07 -5.6313413525502533e+07 -5.6080159611926123e+07 -5.5818055270019367e+07 -5.5523737958470814e+07 -5.5193836161995828e+07 -5.4828595828308024e+07 -5.4408843974124074e+07 -5.3954930227081425e+07 -5.3456615333266534e+07 -5.2915054485381626e+07 -5.2334499401411049e+07 -5.1722188497124493e+07 -5.1091903183629937e+07 -5.0467805935791977e+07 -4.9865417611996464e+07 -4.9352232245889097e+07 -4.8983536410783052e+07 -4.8855014450447842e+07 -4.9093524737979852e+07 -4.9895613082672991e+07 -5.1558394051538706e+07 -5.4554717237763695e+07 -5.9647304417373076e+07 3.3575363707639962e+08 +1.9829943314438099e+00 -2.6754762089507779e+08 -2.6748848615086320e+08 -2.6739229926928607e+08 -2.6726993933276081e+08 -2.6715323347771886e+08 -2.6709070514931661e+08 -2.6710346538709956e+08 -2.6715510190006578e+08 -2.6720926280599272e+08 -2.6725925309601358e+08 -2.6731008047076806e+08 -2.6736290214554620e+08 -2.6741745427415845e+08 -2.6747417493075803e+08 -2.6753398335953930e+08 -2.6759767629540524e+08 -2.6766629899239302e+08 -2.6774135242571509e+08 -2.6782464397396231e+08 -2.6791821773322779e+08 -2.6802441572450271e+08 -2.6814579424796963e+08 -2.6828449976525784e+08 -2.6844379733314961e+08 -2.6863518754974681e+08 -2.6886705660323453e+08 -2.6914015700318158e+08 -2.6945845869208747e+08 -2.6982890596721584e+08 -2.7025973925987214e+08 -2.7076024462601495e+08 -2.7134074276818657e+08 -2.7201256768014085e+08 -2.7278798245539856e+08 -2.7368001034188479e+08 -2.7470208001151413e+08 -2.7586750271226829e+08 -2.7718864003035712e+08 -2.7867573160349232e+08 -2.8033515700089180e+08 -2.8231031344894528e+08 -2.8447258292258853e+08 -2.8679158987019306e+08 -2.8921088726618487e+08 -2.9163862712441248e+08 -2.9393693098493081e+08 -2.9591109502530539e+08 -2.9730086734181917e+08 -2.9777788723698229e+08 -2.9695353487248528e+08 -2.9441398147829604e+08 -2.8974407753863496e+08 -2.8259321305493885e+08 -2.7280254653141427e+08 -2.6041337392100340e+08 -2.4571962564854884e+08 -2.2923462790749568e+08 -2.1162285167416540e+08 -1.9360248244952106e+08 -1.7582637925545374e+08 -1.5884675164698255e+08 -1.4304400992565736e+08 -1.2867132772489081e+08 -1.1582707890580831e+08 -1.0453979290661804e+08 -9.4770419593132243e+07 -8.6425084701478720e+07 -7.9418972276284665e+07 -7.3641872020364761e+07 -6.8974482456868082e+07 -6.5321367413011983e+07 -6.2544062613331087e+07 -6.0525854446005382e+07 -5.9130201747705162e+07 -5.8215229317862831e+07 -5.7661806984593853e+07 -5.7334785218722351e+07 -5.7133852696503736e+07 -5.7003324215124980e+07 -5.6930081362177558e+07 -5.6862359888903305e+07 -5.6795946039067090e+07 -5.6727392886565968e+07 -5.6656978749441586e+07 -5.6586609315904073e+07 -5.6497945127432808e+07 -5.6413147066289984e+07 -5.6322317854682371e+07 -5.6223766382523909e+07 -5.6116171669570968e+07 -5.5997929327163339e+07 -5.5867231243064739e+07 -5.5725607666233249e+07 -5.5552894050798453e+07 -5.5371578143480889e+07 -5.5168159433869213e+07 -5.4939669806227297e+07 -5.4682916245487601e+07 -5.4394604548844524e+07 -5.4071431748648688e+07 -5.3713721308721490e+07 -5.3302281106708497e+07 -5.2857618773095042e+07 -5.2369457921148382e+07 -5.1838930258726627e+07 -5.1270200968502194e+07 -5.0670361229968689e+07 -5.0052912202563770e+07 -4.9441600893448830e+07 -4.8851256904899053e+07 -4.8348527028311156e+07 -4.7987347843307190e+07 -4.7861531584243983e+07 -4.8095210511082105e+07 -4.8880968649671294e+07 -5.0509916559875153e+07 -5.3445400604995638e+07 -5.8434113127081364e+07 3.3634579609543568e+08 +1.9879626542180679e+00 -2.6791036188561285e+08 -2.6785129284346470e+08 -2.6775522408667433e+08 -2.6763300616571501e+08 -2.6751642879292378e+08 -2.6745395756556889e+08 -2.6746667485758361e+08 -2.6751821365788168e+08 -2.6757226574883986e+08 -2.6762214133318982e+08 -2.6767284081021813e+08 -2.6772551733540988e+08 -2.6777990548795950e+08 -2.6783643947178793e+08 -2.6789603397060803e+08 -2.6795948100947508e+08 -2.6802781940653008e+08 -2.6810254247732660e+08 -2.6818544827009991e+08 -2.6827857011464015e+08 -2.6838423729530117e+08 -2.6850499109491318e+08 -2.6864295966173911e+08 -2.6880137739739352e+08 -2.6899169662956262e+08 -2.6922227188465106e+08 -2.6949383424305296e+08 -2.6981031601480758e+08 -2.7017861021329343e+08 -2.7060689517937064e+08 -2.7110438279080158e+08 -2.7168130503134555e+08 -2.7234888957552075e+08 -2.7311927181006479e+08 -2.7400532124831462e+08 -2.7502028110882497e+08 -2.7617723856389707e+08 -2.7748828418015099e+08 -2.7896332979043096e+08 -2.8060835891105914e+08 -2.8256488051780564e+08 -2.8470453569083786e+08 -2.8699609138418990e+08 -2.8938208728357857e+08 -2.9176950762236416e+08 -2.9401917852950543e+08 -2.9593504274864447e+08 -2.9725557030835456e+08 -2.9765141429468554e+08 -2.9673357088233072e+08 -2.9408881877761799e+08 -2.8930388768191087e+08 -2.8203150578313315e+08 -2.7211765212817144e+08 -2.5960926936394402e+08 -2.4480588226176557e+08 -2.2822543218292212e+08 -2.1053524977157071e+08 -1.9245437548908836e+08 -1.7463466088823488e+08 -1.5762612005555546e+08 -1.4180628859333825e+08 -1.2742547980240706e+08 -1.1457940009898178e+08 -1.0329445840396073e+08 -9.3529957456931472e+07 -8.5190772595409542e+07 -7.8191271298243254e+07 -7.2420719274985805e+07 -6.7759437054160431e+07 -6.4111844472891025e+07 -6.1339356520341471e+07 -5.9325262804448977e+07 -5.7933039200420797e+07 -5.7020934725310653e+07 -5.6469969775021888e+07 -5.6145086220831484e+07 -5.5946082722674347e+07 -5.5817412471526302e+07 -5.5745496426265471e+07 -5.5679118833983094e+07 -5.5614078020015299e+07 -5.5546963681993499e+07 -5.5478034047334611e+07 -5.5409239066043347e+07 -5.5322177588291854e+07 -5.5239166118119143e+07 -5.5150248910409234e+07 -5.5053770031596735e+07 -5.4948435969350368e+07 -5.4832675714024760e+07 -5.4704718755447485e+07 -5.4566151096357107e+07 -5.4396792979297556e+07 -5.4219271716754630e+07 -5.4020107423380516e+07 -5.3796393710575625e+07 -5.3545003992837250e+07 -5.3262712572911702e+07 -5.2946285198281310e+07 -5.2596122994915225e+07 -5.2193014868856527e+07 -5.1757626540164471e+07 -5.1279644526890099e+07 -5.0760176994624645e+07 -5.0203302379565507e+07 -4.9615964264937446e+07 -4.9011382874079965e+07 -4.8412888691542417e+07 -4.7834618571476735e+07 -4.7342369717961960e+07 -4.6988725537014343e+07 -4.6865621541383125e+07 -4.7094457294326916e+07 -4.7863845340909883e+07 -4.9458877546332017e+07 -5.2333373768306337e+07 -5.7217958032447241e+07 3.3693419384847063e+08 +1.9929309769923260e+00 -2.6826703797564223e+08 -2.6820803954153210e+08 -2.6811208714555019e+08 -2.6799001497354028e+08 -2.6787356614530659e+08 -2.6781115133303288e+08 -2.6782382439000869e+08 -2.6787526465625843e+08 -2.6792920694812539e+08 -2.6797896676666206e+08 -2.6802953705915126e+08 -2.6808206693492576e+08 -2.6813628938654998e+08 -2.6819263464312115e+08 -2.6825201281227806e+08 -2.6831521113053522e+08 -2.6838326191573167e+08 -2.6845765072534198e+08 -2.6854016616980839e+08 -2.6863283068544883e+08 -2.6873796066100633e+08 -2.6885808219345742e+08 -2.6899530488509691e+08 -2.6915283210580367e+08 -2.6934206738383090e+08 -2.6957133326642632e+08 -2.6984133916594672e+08 -2.7015597934757239e+08 -2.7052209499839115e+08 -2.7094780173616356e+08 -2.7144223652762693e+08 -2.7201554179526103e+08 -2.7267883793193710e+08 -2.7344413152147132e+08 -2.7432413710306424e+08 -2.7533191105583096e+08 -2.7648031493837750e+08 -2.7778116662532300e+08 -2.7924404835796469e+08 -2.8087454576011384e+08 -2.8281226539841998e+08 -2.8492911482201540e+08 -2.8719300205193502e+08 -2.8954545309534007e+08 -2.9189228574778199e+08 -2.9409303472676337e+08 -2.9595029714143032e+08 -2.9720127779698706e+08 -2.9751566249777156e+08 -2.9650408881155187e+08 -2.9375397344844526e+08 -2.8885395774194467e+08 -2.8146013651521128e+08 -2.7142332622250122e+08 -2.5879611579664949e+08 -2.4388360368764865e+08 -2.2720830905370495e+08 -2.0944037582598802e+08 -1.9129965377818686e+08 -1.7343695002456817e+08 -1.5640005864678219e+08 -1.4056362857181981e+08 -1.2617511055969959e+08 -1.1332754790427051e+08 -1.0204523653394681e+08 -9.2285840672140479e+07 -8.3952993693465278e+07 -7.6960253852840796e+07 -7.1196369295891479e+07 -6.6541287857283637e+07 -6.2899289665342055e+07 -6.0131672821384586e+07 -5.8121733299137309e+07 -5.6732966907696456e+07 -5.5823749693591341e+07 -5.5275255008887604e+07 -5.4952518391371906e+07 -5.4755450248920321e+07 -5.4628643349037029e+07 -5.4558057463996418e+07 -5.4493027045856468e+07 -5.4429362588160701e+07 -5.4363690527388796e+07 -5.4296248962582283e+07 -5.4229032170970924e+07 -5.4143577388650730e+07 -5.4062356802594475e+07 -5.3975356194304526e+07 -5.3880954891187236e+07 -5.3777886915151335e+07 -5.3664614715983890e+07 -5.3539405476222314e+07 -5.3403901041974247e+07 -5.3237906629192695e+07 -5.3064189142783672e+07 -5.2869289504831292e+07 -5.2650363202616587e+07 -5.2404350240187034e+07 -5.2128093590925902e+07 -5.1818427883048378e+07 -5.1475832048822626e+07 -5.1081076189837188e+07 -5.0654984199009053e+07 -5.0187205537394486e+07 -4.9678824771729358e+07 -4.9133833382614627e+07 -4.8559027001589216e+07 -4.7967344238967709e+07 -4.7381698013701312e+07 -4.6815530958183452e+07 -4.6333788369170450e+07 -4.5987697336205363e+07 -4.5867312090681925e+07 -4.6091292991576456e+07 -4.6844271516712204e+07 -4.8405306316915959e+07 -5.1218667734298699e+07 -5.5998873042798445e+07 3.3751882861926997e+08 +1.9978992997665841e+00 -2.6861763600943470e+08 -2.6855870760389423e+08 -2.6846286993694842e+08 -2.6834094270966393e+08 -2.6822462518474278e+08 -2.6816226699369350e+08 -2.6817489608509055e+08 -2.6822623704765958e+08 -2.6828006845764226e+08 -2.6832971145738658e+08 -2.6838015127720124e+08 -2.6843253300543395e+08 -2.6848658802679473e+08 -2.6854274250551486e+08 -2.6860190195244735e+08 -2.6866484872855103e+08 -2.6873260859647757e+08 -2.6880665925173217e+08 -2.6888877976427990e+08 -2.6898098154648310e+08 -2.6908556793437803e+08 -2.6920504967083716e+08 -2.6934151758050621e+08 -2.6949814362548548e+08 -2.6968628200617254e+08 -2.6991422297521847e+08 -2.7018265403796697e+08 -2.7049543100265449e+08 -2.7085934269120741e+08 -2.7128244136649293e+08 -2.7177378835368836e+08 -2.7234343567602766e+08 -2.7300239548481035e+08 -2.7376254447010231e+08 -2.7463644096461880e+08 -2.7563695312707734e+08 -2.7677671537678117e+08 -2.7806727123472369e+08 -2.7951787158296978e+08 -2.8113370233155048e+08 -2.8305245356024408e+08 -2.8514630665724206e+08 -2.8738230932630628e+08 -2.8970097357082099e+08 -2.9200695216990066e+08 -2.9415849252142137e+08 -2.9595685399718571e+08 -2.9713798911771262e+08 -2.9737063541032219e+08 -2.9626509722957146e+08 -2.9340945974108177e+08 -2.8839430812453812e+08 -2.8087913195494646e+08 -2.7071960152027780e+08 -2.5797395116829744e+08 -2.4295283198036256e+08 -2.2618330333124423e+08 -2.0833827606025782e+08 -1.9013836378797522e+08 -1.7223329251407364e+08 -1.5516861209183401e+08 -1.3931607307478476e+08 -1.2492026167966761e+08 -1.1207156253429049e+08 -1.0079216617565605e+08 -9.1038106951648027e+07 -8.2711784717239201e+07 -7.5725955836133584e+07 -6.9968857302756160e+07 -6.5320069541906253e+07 -6.1683737234903529e+07 -5.8921045426366650e+07 -5.6915299585840873e+07 -5.5530018337244391e+07 -5.4623707553147346e+07 -5.4077695915732875e+07 -5.3757114883622326e+07 -5.3561988367211357e+07 -5.3437049884857193e+07 -5.3367797474860869e+07 -5.3304117486295857e+07 -5.3241832666981056e+07 -5.3177606306106709e+07 -5.3111656337230727e+07 -5.3046021428983629e+07 -5.2962177281833768e+07 -5.2882751823473625e+07 -5.2797672356653638e+07 -5.2705353553885259e+07 -5.2604557036673136e+07 -5.2493778793666683e+07 -5.2371323789609343e+07 -5.2238889802511603e+07 -5.2076267205824465e+07 -5.1906362521371149e+07 -5.1715737659522586e+07 -5.1501610130624548e+07 -5.1260986686458677e+07 -5.0990779134235315e+07 -5.0687891146371901e+07 -5.0352879603696533e+07 -4.9966495970470443e+07 -4.9549722392076865e+07 -4.9092171311621800e+07 -4.8594903640873961e+07 -4.8061823698392473e+07 -4.7499578812422954e+07 -4.6920825311226800e+07 -4.6348057517008431e+07 -4.5794022385557964e+07 -4.5322811010440484e+07 -4.4984291059529603e+07 -4.4866630975391768e+07 -4.5085745481043257e+07 -4.5822275511210345e+07 -4.7349232150421858e+07 -5.0101313480970934e+07 -5.4776892036344737e+07 3.3809969880432564e+08 +2.0028676225408422e+00 -2.6896213698394877e+08 -2.6890327848423105e+08 -2.6880756059816462e+08 -2.6868577561954021e+08 -2.6856959018115425e+08 -2.6850728755108702e+08 -2.6851987228309065e+08 -2.6857111319857985e+08 -2.6862483257288480e+08 -2.6867435769542503e+08 -2.6872466576021618e+08 -2.6877689785033894e+08 -2.6883078370449138e+08 -2.6888674536054599e+08 -2.6894568369938797e+08 -2.6900837611421615e+08 -2.6907584176628810e+08 -2.6914955038061970e+08 -2.6923127138605952e+08 -2.6932300503991783e+08 -2.6942704147039706e+08 -2.6954587589737368e+08 -2.6968158013646263e+08 -2.6983729436772335e+08 -2.7002432293556845e+08 -2.7025092348262691e+08 -2.7051776136974877e+08 -2.7082865353938580e+08 -2.7119033590884972e+08 -2.7161079675662321e+08 -2.7209902103928298e+08 -2.7266496954431993e+08 -2.7331954522689044e+08 -2.7407449379665840e+08 -2.7494221615357774e+08 -2.7593539086395359e+08 -2.7706642369224721e+08 -2.7834658215605193e+08 -2.7978478402693105e+08 -2.8138581370086169e+08 -2.8328543077288556e+08 -2.8535609784859723e+08 -2.8756400098247623e+08 -2.8984863791302848e+08 -2.9211349790508002e+08 -2.9421554521847034e+08 -2.9595470948212117e+08 -2.9706570396462256e+08 -2.9721633698650211e+08 -2.9601660509646171e+08 -2.9305529228838837e+08 -2.8792495959837002e+08 -2.8028851913593227e+08 -2.7000651101333475e+08 -2.5714281366336203e+08 -2.4201360937515756e+08 -2.2515045995513976e+08 -2.0722899677801222e+08 -1.8897055203293526e+08 -1.7102373422060153e+08 -1.5393182505685699e+08 -1.3806366529782021e+08 -1.2366097481857166e+08 -1.1081148417172657e+08 -9.9535286175298989e+07 -8.9786793975110188e+07 -8.1467182355005577e+07 -7.4488413111047715e+07 -6.8738218482757986e+07 -6.4095816750903904e+07 -6.0465221393849231e+07 -5.7707508213126734e+07 -5.5705995288568854e+07 -5.4324226925321445e+07 -5.3420841602775842e+07 -5.2877325693613663e+07 -5.2558908819608465e+07 -5.2365730138051704e+07 -5.2242665084921390e+07 -5.2174749427146502e+07 -5.2112423085845344e+07 -5.2051521148725621e+07 -5.1988743870283991e+07 -5.1924288982215837e+07 -5.1860239607426852e+07 -5.1778009990161002e+07 -5.1700383853186868e+07 -5.1617230016916424e+07 -5.1526998581510253e+07 -5.1428478832796000e+07 -5.1320200376892239e+07 -5.1200506049316838e+07 -5.1071149646690622e+07 -5.0911906884316541e+07 -5.0745823921890229e+07 -5.0559483838548504e+07 -5.0350166312791795e+07 -5.0114945000591658e+07 -4.9850800704108328e+07 -4.9554706301881298e+07 -4.9227296763366051e+07 -4.8849305082278326e+07 -4.8441871732754029e+07 -4.7994572179769285e+07 -4.7508443624540068e+07 -4.6987303019367032e+07 -4.6437649042022176e+07 -4.5871855077459879e+07 -4.5311995831452109e+07 -4.4770121147228010e+07 -4.4309465643757381e+07 -4.3978534499241635e+07 -4.3863605912398808e+07 -4.4077842614469409e+07 -4.4797885631739818e+07 -4.6290684298164226e+07 -4.8981341957014889e+07 -5.3552048859123349e+07 3.3867680291218150e+08 +2.0078359453151005e+00 -2.6930052658863825e+08 -2.6924173806856346e+08 -2.6914613490139741e+08 -2.6902450048331767e+08 -2.6890844218238205e+08 -2.6884619568962085e+08 -2.6885873550039518e+08 -2.6890987564145052e+08 -2.6896348182879657e+08 -2.6901288800288886e+08 -2.6906306303877622e+08 -2.6911514401498431e+08 -2.6916885895397091e+08 -2.6922462574967927e+08 -2.6928334060195053e+08 -2.6934577584028703e+08 -2.6941294398417097e+08 -2.6948630667747736e+08 -2.6956762360958564e+08 -2.6965888375125241e+08 -2.6976236386659843e+08 -2.6988054348611087e+08 -2.7001547518487364e+08 -2.7017026698655498e+08 -2.7035617285440511e+08 -2.7058141750598675e+08 -2.7084664392046332e+08 -2.7115562976540780e+08 -2.7151505751776552e+08 -2.7193285084386069e+08 -2.7241791760671324e+08 -2.7298012652525216e+08 -2.7363027040752840e+08 -2.7437996290216428e+08 -2.7524144625471914e+08 -2.7622720807682252e+08 -2.7734942397016048e+08 -2.7861908381449002e+08 -2.8004477053488404e+08 -2.8163086523446745e+08 -2.8351118310637748e+08 -2.8555847535852867e+08 -2.8773806511647761e+08 -2.8998843565941548e+08 -2.9221191431701142e+08 -2.9426418648310411e+08 -2.9594386013605452e+08 -2.9698442241417688e+08 -2.9705277156932437e+08 -2.9575862176160878e+08 -2.9269148610175925e+08 -2.8744593329094315e+08 -2.7968832541909361e+08 -2.6928408797793645e+08 -2.5630274169948328e+08 -2.4106597828529307e+08 -2.2410982398998436e+08 -2.0611258436174646e+08 -1.8779626506832638e+08 -1.6980832102036324e+08 -1.5268974220053318e+08 -1.3680644841664150e+08 -1.2239729160556379e+08 -1.0954735296743575e+08 -9.8274635345800325e+07 -8.8531939387977839e+07 -8.0219223260606721e+07 -7.3247661506390736e+07 -6.7504487989026874e+07 -6.2868564093922369e+07 -5.9243776321275175e+07 -5.6491095026741132e+07 -5.4493853998616673e+07 -5.3115626075486474e+07 -5.2215185108989708e+07 -5.1674177508261628e+07 -5.1357933289040305e+07 -5.1166708589877963e+07 -5.1045521922962047e+07 -5.0978946256952636e+07 -5.0917976743030928e+07 -5.0858460893712543e+07 -5.0797136040247805e+07 -5.0734179676561326e+07 -5.0671719441639990e+07 -5.0591108204092003e+07 -5.0515285532660663e+07 -5.0434061762794286e+07 -5.0345922504175596e+07 -5.0249684770838745e+07 -5.0143911864015810e+07 -5.0026984577387877e+07 -4.9900712811794259e+07 -4.9744857808214530e+07 -4.9582605382544957e+07 -4.9400559961773865e+07 -4.9196063536230817e+07 -4.8966256820589699e+07 -4.8708189771349452e+07 -4.8418904632871427e+07 -4.8099114601310723e+07 -4.7729534366777048e+07 -4.7331462804912984e+07 -4.6894438442575730e+07 -4.6419474715888143e+07 -4.5910301009249456e+07 -4.5373267006512217e+07 -4.4820462495978802e+07 -4.4273541559178114e+07 -4.3743855509277426e+07 -4.3293780243842028e+07 -4.2970455420671336e+07 -4.2858264591783017e+07 -4.3067612216573142e+07 -4.3771130158162013e+07 -4.5229691982880056e+07 -4.7858784080957465e+07 -5.2324377324251458e+07 3.3925013956276059e+08 +2.0128042680893588e+00 -2.6963278205325586e+08 -2.6957406380234528e+08 -2.6947858011056751e+08 -2.6935709184580284e+08 -2.6924116347786480e+08 -2.6917897362531197e+08 -2.6919146835646868e+08 -2.6924250708192641e+08 -2.6929599900264233e+08 -2.6934528514313591e+08 -2.6939532588046646e+08 -2.6944725428569615e+08 -2.6950079655039251e+08 -2.6955636645664531e+08 -2.6961485544985104e+08 -2.6967703070023435e+08 -2.6974389805009413e+08 -2.6981691095003021e+08 -2.6989781925157833e+08 -2.6998860050760067e+08 -2.7009151796382123e+08 -2.7020903529342443e+08 -2.7034318560136151e+08 -2.7049704438195413e+08 -2.7068181469107020e+08 -2.7090568800849986e+08 -2.7116928469489712e+08 -2.7147634273585242e+08 -2.7183349063339990e+08 -2.7224858681618768e+08 -2.7273046133123469e+08 -2.7328888999929547e+08 -2.7393455453421485e+08 -2.7467893544742620e+08 -2.7553411511714536e+08 -2.7651238884291261e+08 -2.7762570056879777e+08 -2.7888476091394573e+08 -2.8029781623702878e+08 -2.8186884259112245e+08 -2.8372969693041933e+08 -2.8575342645951790e+08 -2.8790449014560598e+08 -2.9012035668005407e+08 -2.9230219311514819e+08 -2.9430441033948201e+08 -2.9592430286831975e+08 -2.9689414492409408e+08 -2.9687994388942456e+08 -2.9549115696041107e+08 -2.9231805657027876e+08 -2.8695725068651915e+08 -2.7907857848933905e+08 -2.6855236597177219e+08 -2.5545377392369148e+08 -2.4010998129892921e+08 -2.2306144062321106e+08 -2.0498908527012458e+08 -1.8661554948778453e+08 -1.6858709880068186e+08 -1.5144240817309549e+08 -1.3554446558567175e+08 -1.2112925364127603e+08 -1.0827920903988799e+08 -9.7010252465709701e+07 -8.7273580800403625e+07 -7.8967944052702338e+07 -7.2003736815755948e+07 -6.6267700940150306e+07 -6.1638346146245942e+07 -5.8019436162327088e+07 -5.5271839678502090e+07 -5.3278909273870736e+07 -5.1904249158118039e+07 -5.1006771305100933e+07 -5.0468284492411390e+07 -5.0154221348622300e+07 -4.9964956718102470e+07 -4.9845653339897491e+07 -4.9780420867547192e+07 -4.9720811323540278e+07 -4.9662684729373798e+07 -4.9602815603451185e+07 -4.9541361166539706e+07 -4.9480493634428188e+07 -4.9401504581441090e+07 -4.9327489470132060e+07 -4.9248200149493642e+07 -4.9162157819586366e+07 -4.9068207285731331e+07 -4.8964945621017911e+07 -4.8850791663788565e+07 -4.8727611503032580e+07 -4.8575152089197837e+07 -4.8416738909557045e+07 -4.8238997917305894e+07 -4.8039333556514852e+07 -4.7814953753033780e+07 -4.7562977775238521e+07 -4.7280517391336739e+07 -4.6968364160037301e+07 -4.6607214634622134e+07 -4.6218526161518320e+07 -4.5791800370476246e+07 -4.5328026878248408e+07 -4.4830847302041203e+07 -4.4306461992702708e+07 -4.3766676496280447e+07 -4.3232723273827076e+07 -4.2715253709606223e+07 -4.2275782757528745e+07 -4.1960081561327055e+07 -4.1850634675854661e+07 -4.2055082084232926e+07 -4.2742037342020869e+07 -4.4166284398100942e+07 -4.6733670740524605e+07 -5.1093911211173519e+07 3.3981970748669314e+08 +2.0177725908636170e+00 -2.6995889167182338e+08 -2.6990024420111400e+08 -2.6980487745470232e+08 -2.6968353242243397e+08 -2.6956774041009068e+08 -2.6950560518352830e+08 -2.6951805373363638e+08 -2.6956899044845998e+08 -2.6962236711728787e+08 -2.6967153212794679e+08 -2.6972143729223508e+08 -2.6977321168879420e+08 -2.6982657951041985e+08 -2.6988195050676823e+08 -2.6994021127323294e+08 -2.7000212373000973e+08 -2.7006868700626022e+08 -2.7014134624808919e+08 -2.7022184137151545e+08 -2.7031213837893647e+08 -2.7041448684511840e+08 -2.7053133441943741e+08 -2.7066469450579166e+08 -2.7081760969712710e+08 -2.7100123161856335e+08 -2.7122371819899994e+08 -2.7148566694511849e+08 -2.7179077575402588e+08 -2.7214561862048316e+08 -2.7255798811245811e+08 -2.7303663574013823e+08 -2.7359124360139740e+08 -2.7423238137162507e+08 -2.7497139535482389e+08 -2.7582020685315692e+08 -2.7679091750787282e+08 -2.7789523811870784e+08 -2.7914359843508589e+08 -2.8054390654715997e+08 -2.8209973171978790e+08 -2.8394095891578168e+08 -2.8594093873284769e+08 -2.8806326480827904e+08 -2.9024439117872387e+08 -2.9238432635411167e+08 -2.9433621116998774e+08 -2.9589603496003509e+08 -2.9679487233132499e+08 -2.9669785906181556e+08 -2.9521422081228042e+08 -2.9193501945701766e+08 -2.8645893362266058e+08 -2.7845930635278851e+08 -2.6781137882876307e+08 -2.5459594920929644e+08 -2.3914566117648214e+08 -2.2200535516153830e+08 -2.0385854603525811e+08 -1.8542845192195833e+08 -1.6736011345726877e+08 -1.5018986761452630e+08 -1.3427775993747139e+08 -1.1985690249663766e+08 -1.0700709247399727e+08 -9.5742176277955517e+07 -8.6011755786582544e+07 -7.7713381313811719e+07 -7.0756674797395378e+07 -6.5027892419172324e+07 -6.0405197448004402e+07 -5.6792235027394183e+07 -5.4049775945232227e+07 -5.2061194637887254e+07 -5.0690129509445935e+07 -4.9795633390336402e+07 -4.9259679744842105e+07 -4.8947806021286346e+07 -4.8760507484464817e+07 -4.8643092242876112e+07 -4.8579206128575310e+07 -4.8520959659426786e+07 -4.8464225449536085e+07 -4.8405815313914053e+07 -4.8345866164942637e+07 -4.8286594855055608e+07 -4.8209231746673256e+07 -4.8137028240466565e+07 -4.8059677698819317e+07 -4.7975736992039517e+07 -4.7884078779099777e+07 -4.7783333980715603e+07 -4.7671959565225177e+07 -4.7551877892655283e+07 -4.7402821805900261e+07 -4.7248256476390563e+07 -4.7074829560605057e+07 -4.6880008096507236e+07 -4.6661067372059628e+07 -4.6415196122973144e+07 -4.6139575797234245e+07 -4.5835076450291075e+07 -4.5482376665003508e+07 -4.5103092324533187e+07 -4.4686688202946477e+07 -4.4234130044219814e+07 -4.3748971501480989e+07 -4.3237263257447891e+07 -4.2710525978106290e+07 -4.2189569519691624e+07 -4.1684343957217738e+07 -4.1255501102948084e+07 -4.0947440630344599e+07 -4.0840743798674047e+07 -4.1040279985945694e+07 -4.1710635405927531e+07 -4.3100490707567692e+07 -4.5606032791768663e+07 -4.9860684264628544e+07 3.4038550552464569e+08 +2.0227409136378753e+00 -2.7027883671503091e+08 -2.7022025810422909e+08 -2.7012501063543469e+08 -2.7000381248348111e+08 -2.6988815392218715e+08 -2.6982607336884302e+08 -2.6983847500231874e+08 -2.6988930893603057e+08 -2.6994256944178772e+08 -2.6999161222205383e+08 -2.7004138052651107e+08 -2.7009299949008572e+08 -2.7014619109415752e+08 -2.7020136116633332e+08 -2.7025939134440249e+08 -2.7032103820706797e+08 -2.7038729413684970e+08 -2.7045959586383468e+08 -2.7053967327103209e+08 -2.7062948067778844e+08 -2.7073125383766383e+08 -2.7084742420730472e+08 -2.7097998526158893e+08 -2.7113194632036483e+08 -2.7131440705537391e+08 -2.7153549153288782e+08 -2.7179577416977698e+08 -2.7209891237157738e+08 -2.7245142509415156e+08 -2.7286103842269248e+08 -2.7333642461484873e+08 -2.7388717122149068e+08 -2.7452373494240814e+08 -2.7525732680611551e+08 -2.7609970583979791e+08 -2.7706277868529099e+08 -2.7815802152367491e+08 -2.7939558163785493e+08 -2.8078302716288996e+08 -2.8232351886126733e+08 -2.8414495603191870e+08 -2.8612100007138491e+08 -2.8821437816294879e+08 -2.9036052969024676e+08 -2.9245830643371183e+08 -2.9435958371417558e+08 -2.9585905406033731e+08 -2.9668660585207748e+08 -2.9650652258523232e+08 -2.9492782381908435e+08 -2.9154239089744705e+08 -2.8595100428793234e+08 -2.7783053733365303e+08 -2.6706116065856764e+08 -2.5372930665298298e+08 -2.3817306084719738e+08 -2.2094161302904993e+08 -2.0272101326095501e+08 -1.8423501903572825e+08 -1.6612741089371383e+08 -1.4893216515332103e+08 -1.3300637458042975e+08 -1.1858027971191904e+08 -1.0573104331995381e+08 -9.4470445489240974e+07 -8.4746501883767799e+07 -7.6455571589399859e+07 -6.9506511172402367e+07 -6.3785097472922601e+07 -5.9169152503527351e+07 -5.5562206991281077e+07 -5.2824937568413302e+07 -5.0840743579125561e+07 -4.9473300430680901e+07 -4.8581804529228859e+07 -4.8048396329576693e+07 -4.7738720295204878e+07 -4.7553393815981209e+07 -4.7437871504492037e+07 -4.7375334875166334e+07 -4.7318454548289128e+07 -4.7263115813766614e+07 -4.7206167891202137e+07 -4.7147727350261658e+07 -4.7090055738504574e+07 -4.7014322289966315e+07 -4.6943934384376548e+07 -4.6868526898555078e+07 -4.6786692451878421e+07 -4.6697331618674792e+07 -4.6599109242104359e+07 -4.6490520504784100e+07 -4.6373544119039670e+07 -4.6227899003480062e+07 -4.6077190022945121e+07 -4.5908086713720553e+07 -4.5718118845925786e+07 -4.5504629218734466e+07 -4.5264876188742846e+07 -4.4996111037864223e+07 -4.4699282450270690e+07 -4.4355051204840504e+07 -4.3985191783796281e+07 -4.3579132147700995e+07 -4.3137814115029618e+07 -4.2664703180201098e+07 -4.2165700026903942e+07 -4.1652039811056696e+07 -4.1144108811208986e+07 -4.0651154431503505e+07 -4.0232963169154584e+07 -3.9932560307854392e+07 -3.9828619565318421e+07 -4.0023233661046185e+07 -4.0676952543005019e+07 -4.2032340044352129e+07 -4.4475901058439866e+07 -4.8624730194109440e+07 3.4094753262665331e+08 +2.0277092364121336e+00 -2.7059259413825661e+08 -2.7053408955395257e+08 -2.7043896441139060e+08 -2.7031791322548056e+08 -2.7020238581494290e+08 -2.7014036124072826e+08 -2.7015271579878271e+08 -2.7020344601998979e+08 -2.7025658948303235e+08 -2.7030550894115430e+08 -2.7035513908263332e+08 -2.7040660119369841e+08 -2.7045961480494285e+08 -2.7051458194520748e+08 -2.7057237917602706e+08 -2.7063375765143812e+08 -2.7069970296739066e+08 -2.7077164333225244e+08 -2.7085129849436682e+08 -2.7094061096039361e+08 -2.7104180251138753e+08 -2.7115728824389327e+08 -2.7128904147680986e+08 -2.7144003788480324e+08 -2.7162132466533697e+08 -2.7184099171138710e+08 -2.7209959011568308e+08 -2.7240073638817966e+08 -2.7275089391813016e+08 -2.7315772168836284e+08 -2.7362981198908424e+08 -2.7417665700577265e+08 -2.7480859952598983e+08 -2.7553671424460870e+08 -2.7637259671767551e+08 -2.7732795725739491e+08 -2.7841403595993346e+08 -2.7964069605950952e+08 -2.8101516406696016e+08 -2.8254019054695225e+08 -2.8434167554820609e+08 -2.8629359867530763e+08 -2.8835781958840263e+08 -2.9046876308224666e+08 -2.9252412609748125e+08 -2.9437452306770301e+08 -2.9581335818568414e+08 -2.9656934707856512e+08 -2.9630594034052074e+08 -2.9463197686259896e+08 -2.9114018739616704e+08 -2.8543348521923161e+08 -2.7719230007067990e+08 -2.6630174584129351e+08 -2.5285388557108158e+08 -2.3719222340669701e+08 -2.1987025976380432e+08 -2.0157653362009999e+08 -1.8303529752697676e+08 -1.6488903701894465e+08 -1.4766934540507561e+08 -1.3173035259818020e+08 -1.1729942679534402e+08 -1.0445110159244981e+08 -9.3195098768942893e+07 -8.3477856591135144e+07 -7.5194551387274235e+07 -6.8253281624439046e+07 -6.2539351110944308e+07 -5.7930245780229315e+07 -5.4329386092296205e+07 -5.1597358253443040e+07 -4.9617589550141290e+07 -4.8253795187410615e+07 -4.7365317850551113e+07 -4.6834467275214031e+07 -4.6526997123248436e+07 -4.6343648604361996e+07 -4.6230023962124608e+07 -4.6168839907144196e+07 -4.6113328752487831e+07 -4.6059388546284951e+07 -4.6003906019717582e+07 -4.5946977365860522e+07 -4.5890908884723239e+07 -4.5816808766412593e+07 -4.5748240407620057e+07 -4.5674780201478392e+07 -4.5595056594603069e+07 -4.5507998137374341e+07 -4.5412303669368297e+07 -4.5306506670793928e+07 -4.5192642286184087e+07 -4.5050415692489699e+07 -4.4903571454867810e+07 -4.4738801164461210e+07 -4.4553697460448675e+07 -4.4345670800138138e+07 -4.4112049313003398e+07 -4.3850154266982682e+07 -4.3561013104911283e+07 -4.3225268967945762e+07 -4.2864854996367939e+07 -4.2469162380066365e+07 -4.2039108959746487e+07 -4.1578071879072718e+07 -4.1091801495818362e+07 -4.0591246833636515e+07 -4.0096369632117227e+07 -3.9615713281619392e+07 -3.9208196814939149e+07 -3.8915468244146839e+07 -3.8814289551155664e+07 -3.9003970819040902e+07 -3.9641016916000344e+07 -4.0961861510277323e+07 -4.3343306331134185e+07 -4.7386082672731668e+07 3.4150578785145056e+08 +2.0326775591863919e+00 -2.7090015897887576e+08 -2.7084172493301600e+08 -2.7074671841963726e+08 -2.7062581521826828e+08 -2.7051041968022925e+08 -2.7044845282390201e+08 -2.7046075994829661e+08 -2.7051138544611776e+08 -2.7056441098029286e+08 -2.7061320604635692e+08 -2.7066269670822400e+08 -2.7071400054391479e+08 -2.7076683439159054e+08 -2.7082159659467375e+08 -2.7087915852313530e+08 -2.7094026582546961e+08 -2.7100589726671112e+08 -2.7107747243056577e+08 -2.7115670082906634e+08 -2.7124551302577049e+08 -2.7134611668019354e+08 -2.7146091036082762e+08 -2.7159184700390482e+08 -2.7174186826826245e+08 -2.7192196835798931e+08 -2.7214020268254828e+08 -2.7239709877622086e+08 -2.7269623185233545e+08 -2.7304400920648021e+08 -2.7344802210210747e+08 -2.7391678215020269e+08 -2.7445968535443056e+08 -2.7508695966107845e+08 -2.7580954237405938e+08 -2.7663886439133847e+08 -2.7758643837296420e+08 -2.7866326687595248e+08 -2.7987892751502311e+08 -2.8124030352536428e+08 -2.8274973359961772e+08 -2.8453110503392249e+08 -2.8645872305464423e+08 -2.8849357878257883e+08 -2.9056908255259573e+08 -2.9258177843206316e+08 -2.9438102468236226e+08 -2.9575894571982408e+08 -2.9644309797829705e+08 -2.9609611858779609e+08 -2.9432669120283276e+08 -2.9072842582480782e+08 -2.8490639929815882e+08 -2.7654462351487815e+08 -2.6553316902561399e+08 -2.5196972549744454e+08 -2.3620319211326784e+08 -2.1879134101579270e+08 -2.0042515385186416e+08 -1.8182933412424615e+08 -1.6364503774550813e+08 -1.4640145297047240e+08 -1.3044973704820171e+08 -1.1601438522213958e+08 -1.0316730726944984e+08 -9.1916174747812465e+07 -8.2205857369020805e+07 -7.3930357176271290e+07 -6.6997021798751339e+07 -6.1290688304854296e+07 -5.6688511707917325e+07 -5.3093806331563890e+07 -5.0367071668666318e+07 -4.8391765966754913e+07 -4.7031647008559756e+07 -4.6146206446839996e+07 -4.5617925573962696e+07 -4.5312669421946317e+07 -4.5131304705193050e+07 -4.5019582416938365e+07 -4.4959753988261826e+07 -4.4905614998317383e+07 -4.4853076335345797e+07 -4.4799062348017074e+07 -4.4743648819141716e+07 -4.4689186857768022e+07 -4.4616723695460953e+07 -4.4549978780134089e+07 -4.4478470024793483e+07 -4.4400861780067302e+07 -4.4316110632539608e+07 -4.4222949491216645e+07 -4.4119950216235563e+07 -4.4009204462654017e+07 -4.3870403848409712e+07 -4.3727432642640404e+07 -4.3567004665709130e+07 -4.3386775560823463e+07 -4.3184223588861965e+07 -4.2956746801813774e+07 -4.2701736604049079e+07 -4.2420299325110219e+07 -4.2093060634391025e+07 -4.1742112385916740e+07 -4.1356809042143568e+07 -4.0938044414613694e+07 -4.0489107106510162e+07 -4.0015596826865815e+07 -3.9528175852557063e+07 -3.9046380434896491e+07 -3.8578048625670299e+07 -3.8181229868727520e+07 -3.7896192059217490e+07 -3.7797781301260389e+07 -3.7982519138997599e+07 -3.8602856656695247e+07 -3.9889084175141282e+07 -4.2208279366570272e+07 -4.6144775336686723e+07 3.4206027036580634e+08 +2.0376458819606502e+00 -2.7120150699842733e+08 -2.7114314667095220e+08 -2.7104825808600461e+08 -2.7092750580620331e+08 -2.7081224316837281e+08 -2.7075033231038356e+08 -2.7076259158983636e+08 -2.7081311121577102e+08 -2.7086601790645576e+08 -2.7091468753641641e+08 -2.7096403739898318e+08 -2.7101518152429307e+08 -2.7106783384724861e+08 -2.7112238910932577e+08 -2.7117971338335788e+08 -2.7124054673358226e+08 -2.7130586104562360e+08 -2.7137706717921180e+08 -2.7145586430570161e+08 -2.7154417091613656e+08 -2.7164418040136194e+08 -2.7175827463320321e+08 -2.7188838593965679e+08 -2.7203742159418446e+08 -2.7221632228884512e+08 -2.7243310864025354e+08 -2.7268828439276958e+08 -2.7298538306127810e+08 -2.7333075532334709e+08 -2.7373192410817242e+08 -2.7419731963850379e+08 -2.7473624092411327e+08 -2.7535880014278138e+08 -2.7607579615886819e+08 -2.7689849403029466e+08 -2.7783820745026451e+08 -2.7890569999301541e+08 -2.8011026209770006e+08 -2.8145843208792090e+08 -2.8295213513257247e+08 -2.8471323235647184e+08 -2.8661636202817595e+08 -2.8862164576311100e+08 -2.9066147962966359e+08 -2.9263125686671507e+08 -2.9437908436317754e+08 -2.9569581541127610e+08 -2.9630786089287537e+08 -2.9587706396520251e+08 -2.9401197847447872e+08 -2.9030712341917169e+08 -2.8436976974886131e+08 -2.7588753692606688e+08 -2.6475546512468326e+08 -2.5107686617948961e+08 -2.3520601038579357e+08 -2.1770490254414344e+08 -1.9926692076027656e+08 -1.8061717558409628e+08 -1.6239545898838773e+08 -1.4512853243457940e+08 -1.2916457096064407e+08 -1.1472519643344323e+08 -1.0187970029125978e+08 -9.0633712017649546e+07 -8.0930541638224021e+07 -7.2663025385599390e+07 -6.5737767301314510e+07 -6.0039143987354554e+07 -5.5443984678042769e+07 -5.1855501672042198e+07 -4.9134111444701135e+07 -4.7163306207218267e+07 -4.5806889085791320e+07 -4.4924503373245031e+07 -4.4398804180937387e+07 -4.4095770070854411e+07 -4.3916394937057532e+07 -4.3806579633247592e+07 -4.3748109845456205e+07 -4.3695345975322485e+07 -4.3644211832497746e+07 -4.3591669487775855e+07 -4.3537774280890271e+07 -4.3484922185140714e+07 -4.3414099559865147e+07 -4.3349181935402133e+07 -4.3279628749158055e+07 -4.3204140331678763e+07 -4.3121701365201212e+07 -4.3031078900206894e+07 -4.2930883257879212e+07 -4.2823262680987403e+07 -4.2687895410672449e+07 -4.2548805420921467e+07 -4.2392728934586756e+07 -4.2217384732330315e+07 -4.2020319021914713e+07 -4.1798999925949000e+07 -4.1550889133554682e+07 -4.1277171986921802e+07 -4.0958456849759236e+07 -4.0616994341759756e+07 -4.0242102242116198e+07 -3.9834650282280430e+07 -3.9397838337692663e+07 -3.8937115149870098e+07 -3.8462855642285705e+07 -3.7994169639960796e+07 -3.7538188550212808e+07 -3.7152090127476618e+07 -3.6874759341895223e+07 -3.6779122329734676e+07 -3.6958906268799558e+07 -3.7562499865224279e+07 -3.8814037076018646e+07 -4.1070850886908792e+07 -4.4900841784246445e+07 3.4261097944385773e+08 +2.0426142047349085e+00 -2.7149662681455231e+08 -2.7143833694715118e+08 -2.7134357271718669e+08 -2.7122296820270222e+08 -2.7110784047903323e+08 -2.7104598371619016e+08 -2.7105819491909349e+08 -2.7110860757622200e+08 -2.7116139448004276e+08 -2.7120993764165092e+08 -2.7125914539520097e+08 -2.7131012836091036e+08 -2.7136259741004455e+08 -2.7141694372609454e+08 -2.7147402799616134e+08 -2.7153458462310088e+08 -2.7159957855789185e+08 -2.7167041184098327e+08 -2.7174877319758582e+08 -2.7183656891761327e+08 -2.7193597797646397e+08 -2.7204936538023281e+08 -2.7217864262545979e+08 -2.7232668223062724e+08 -2.7250437085916877e+08 -2.7271969402641946e+08 -2.7297313145401913e+08 -2.7326817456071180e+08 -2.7361111688288146e+08 -2.7400941240249687e+08 -2.7447140924798083e+08 -2.7500630862666196e+08 -2.7562410602558756e+08 -2.7633546082464802e+08 -2.7715147106780159e+08 -2.7808325017506415e+08 -2.7914132130504096e+08 -2.8033468617844850e+08 -2.8166953658838844e+08 -2.8314738254979134e+08 -2.8488804568328393e+08 -2.8676650472256374e+08 -2.8874201086575019e+08 -2.9074594617330676e+08 -2.9267255517280096e+08 -2.9436869826979667e+08 -2.9562396637319553e+08 -2.9616363853591639e+08 -2.9564878348706216e+08 -2.9368785068667918e+08 -2.8987629777719206e+08 -2.8382362013500762e+08 -2.7522106986951613e+08 -2.6396866931332982e+08 -2.5017534757540679e+08 -2.3420072180006137e+08 -2.1661099021388015e+08 -1.9810188121110296e+08 -1.7939886869029886e+08 -1.6114034666295856e+08 -1.4385062836487111e+08 -1.2787489733676851e+08 -1.1343190183513187e+08 -1.0058832055929554e+08 -8.9347749129930928e+07 -7.9651946778657138e+07 -7.1392592404117897e+07 -6.4475553697948433e+07 -5.8784753051490463e+07 -5.4196699042731330e+07 -5.0614506037923753e+07 -4.7898511173598692e+07 -4.5932243611463018e+07 -4.4579554572624281e+07 -4.3700241647029437e+07 -4.3177136013356954e+07 -4.2876331911663279e+07 -4.2698952080724299e+07 -4.2591048337648265e+07 -4.2533940167985752e+07 -4.2482554335421510e+07 -4.2432827651626557e+07 -4.2381760013266087e+07 -4.2329386284416966e+07 -4.2278147356825545e+07 -4.2208968805001616e+07 -4.2145882269565776e+07 -4.2078288717942610e+07 -4.2004924535723716e+07 -4.1924802559294187e+07 -4.1836724051745154e+07 -4.1739337875574403e+07 -4.1634848936929971e+07 -4.1502922281988144e+07 -4.1367721587732807e+07 -4.1216005651788779e+07 -4.1045556523865163e+07 -4.0853988500249580e+07 -4.0638839920238398e+07 -4.0397642904225565e+07 -4.0131661930928968e+07 -3.9821488224263929e+07 -3.9489531218347736e+07 -3.9125072053566791e+07 -3.8728956331140839e+07 -3.8304295013866782e+07 -3.7856385561140999e+07 -3.7395314944035515e+07 -3.6939765635026760e+07 -3.6496161109481409e+07 -3.6120805356178723e+07 -3.5851197649284497e+07 -3.5758340119003929e+07 -3.5933159824625596e+07 -3.6519974609392047e+07 -3.7736749216600992e+07 -3.9931051578957476e+07 -4.3654315575117208e+07 3.4315791446644795e+08 +2.0475825275091668e+00 -2.7178550104913509e+08 -2.7172728458193719e+08 -2.7163264071522099e+08 -2.7151218718098044e+08 -2.7139719321893162e+08 -2.7133539150573975e+08 -2.7134755425700384e+08 -2.7139785901355219e+08 -2.7145052517496496e+08 -2.7149894082362598e+08 -2.7154800517983472e+08 -2.7159882552074599e+08 -2.7165110956100833e+08 -2.7170524492488205e+08 -2.7176208684375721e+08 -2.7182236398424178e+08 -2.7188703430018210e+08 -2.7195749092270422e+08 -2.7203541202156925e+08 -2.7212269155988133e+08 -2.7222149395041025e+08 -2.7233416716572320e+08 -2.7246260164812720e+08 -2.7260963479156667e+08 -2.7278609871619344e+08 -2.7299994352875370e+08 -2.7325162469654369e+08 -2.7354459114573419e+08 -2.7388507874939007e+08 -2.7428047193240911e+08 -2.7473903602626681e+08 -2.7526987362918371e+08 -2.7588286262104303e+08 -2.7658852185742927e+08 -2.7739778120137370e+08 -2.7832155250169510e+08 -2.7937011707921469e+08 -2.8055218640617013e+08 -2.8187360414438695e+08 -2.8333546354555380e+08 -2.8505553347970194e+08 -2.8690914057251215e+08 -2.8885466474513155e+08 -2.9082247437066561e+08 -2.9270566746249974e+08 -2.9434986291361159e+08 -2.9554339808087301e+08 -2.9601043399224460e+08 -2.9541128454217964e+08 -2.9335432021889198e+08 -2.8943596685588765e+08 -2.8326797435681927e+08 -2.7454525221321863e+08 -2.6317281702587366e+08 -2.4926520985063943e+08 -2.3318737008654284e+08 -2.1550964999435523e+08 -1.9693008212993142e+08 -1.7817446025091255e+08 -1.5987974668338504e+08 -1.4256778531017530e+08 -1.2658075914787658e+08 -1.1213454279656185e+08 -9.9293207935568675e+07 -8.8058324594980076e+07 -7.8370110128794491e+07 -7.0119094579006925e+07 -6.3210416513496466e+07 -5.7527550349836946e+07 -5.2946689114097483e+07 -4.9370853313641697e+07 -4.6660304408081330e+07 -4.4698611480427928e+07 -4.3349676583488002e+07 -4.2473454246599607e+07 -4.1952953949757293e+07 -4.1654387747511566e+07 -4.1479008878506213e+07 -4.1373021218280166e+07 -4.1317277606682077e+07 -4.1267272692103609e+07 -4.1218956368376687e+07 -4.1169366460419878e+07 -4.1118517324794687e+07 -4.1068894824641362e+07 -4.1001363838215329e+07 -4.0940112140657544e+07 -4.0874482236581706e+07 -4.0803246640511014e+07 -4.0725446400801733e+07 -4.0639917063472703e+07 -4.0545346111466296e+07 -4.0443995188520163e+07 -4.0315516327563316e+07 -4.0184212903719999e+07 -4.0036866460755557e+07 -3.9871322447222687e+07 -3.9685263387893640e+07 -3.9476297982768141e+07 -3.9242028928262867e+07 -3.8983799961548962e+07 -3.8682185332288288e+07 -3.8359753334349349e+07 -3.8005748514665827e+07 -3.7620992294583812e+07 -3.7208506541769020e+07 -3.6773437122847639e+07 -3.6325582465303831e+07 -3.5883196774481602e+07 -3.5451994324684702e+07 -3.5087403287228450e+07 -3.4825534506181307e+07 -3.4735462119135559e+07 -3.4905307390058756e+07 -3.5475308924000189e+07 -3.6657249566496447e+07 -3.8788912093401648e+07 -4.2405230229451820e+07 3.4370107492046207e+08 +2.0525508502834251e+00 -2.7206811760134351e+08 -2.7200997269683105e+08 -2.7191544854040867e+08 -2.7179514586598855e+08 -2.7168028646322656e+08 -2.7161854082092863e+08 -2.7163065420650089e+08 -2.7168085024357420e+08 -2.7173339472223061e+08 -2.7178168178001904e+08 -2.7183060147607410e+08 -2.7188125771463013e+08 -2.7193335502547747e+08 -2.7198727742857933e+08 -2.7204387465171081e+08 -2.7210386954962963e+08 -2.7216821301247293e+08 -2.7223828917358088e+08 -2.7231576553800178e+08 -2.7240252361630392e+08 -2.7250071311300308e+08 -2.7261266479827958e+08 -2.7274024783900750e+08 -2.7288626413637662e+08 -2.7306149075344378e+08 -2.7327384208210081e+08 -2.7352374910525984e+08 -2.7381461785939360e+08 -2.7415262603738713e+08 -2.7454508789737213e+08 -2.7500018527407503e+08 -2.7552692135515141e+08 -2.7613505549922931e+08 -2.7683496500490594e+08 -2.7763741039250028e+08 -2.7855310065225941e+08 -2.7959207385403246e+08 -2.8076274970693976e+08 -2.8207062215692842e+08 -2.8351636610455596e+08 -2.8521568450970441e+08 -2.8704425932041240e+08 -2.8895959837332577e+08 -2.9089105673926443e+08 -2.9273058818780243e+08 -2.9432257515779239e+08 -2.9545411037222153e+08 -2.9584825071544635e+08 -2.9516457489175510e+08 -2.9301139982061309e+08 -2.8898614896931207e+08 -2.8270285664833403e+08 -2.7386011412509066e+08 -2.6236794395089534e+08 -2.4834649337559494e+08 -2.3216599912739334e+08 -2.1440092795546478e+08 -1.9575157050000831e+08 -1.7694399709684432e+08 -1.5861370496076068e+08 -1.4128004779875004e+08 -1.2528219933432898e+08 -1.1083316064973849e+08 -9.7994402241049841e+07 -8.6765476880905017e+07 -7.7085068984763384e+07 -6.8842568215560406e+07 -6.1942391230989531e+07 -5.6267570693507031e+07 -5.1693989163315512e+07 -4.8124577343178354e+07 -4.5419524660570621e+07 -4.3462443074932739e+07 -4.2117288193312496e+07 -4.1244174110737301e+07 -4.0726290829174511e+07 -4.0429970342107236e+07 -4.0256598033378191e+07 -4.0152530924027689e+07 -4.0098154773132548e+07 -4.0049533619715482e+07 -4.0002630519218318e+07 -3.9954521326141790e+07 -3.9905199858011916e+07 -3.9857197001512535e+07 -3.9791317027757697e+07 -3.9731903867912225e+07 -3.9668241571619280e+07 -3.9599138855595924e+07 -3.9523665037136778e+07 -3.9440690014534064e+07 -3.9348939969182059e+07 -3.9250733355438672e+07 -3.9125709374332264e+07 -3.8998311091394715e+07 -3.8855342966857456e+07 -3.8694713976411067e+07 -3.8514175011126257e+07 -3.8311405274227962e+07 -3.8084078180605464e+07 -3.7833616846082442e+07 -3.7540578711385988e+07 -3.7227690972119689e+07 -3.6884161627541676e+07 -3.6510787870276049e+07 -3.6110502292678542e+07 -3.5688298862147316e+07 -3.5253686879124619e+07 -3.4824491378612496e+07 -3.4405716183370367e+07 -3.4051911619715095e+07 -3.3797797404159509e+07 -3.3710515747369818e+07 -3.3875376515604720e+07 -3.4428530810237892e+07 -3.5575567060491003e+07 -3.7644463044136986e+07 -4.1153619227204695e+07 3.4424046039816856e+08 +2.0575191730576834e+00 -2.7234445384160519e+08 -2.7228638331037199e+08 -2.7219198308418369e+08 -2.7207183011883825e+08 -2.7195710653158897e+08 -2.7189541636571765e+08 -2.7190747962545204e+08 -2.7195756621810216e+08 -2.7200998809793669e+08 -2.7205814545072907e+08 -2.7210691924743021e+08 -2.7215740989654881e+08 -2.7220931877059734e+08 -2.7226302620315313e+08 -2.7231937638847196e+08 -2.7237908629557002e+08 -2.7244309967823005e+08 -2.7251279158645093e+08 -2.7258981875081956e+08 -2.7267605010412467e+08 -2.7277362049801683e+08 -2.7288484333064497e+08 -2.7301156627431756e+08 -2.7315655536985314e+08 -2.7333053211053991e+08 -2.7354137486849791e+08 -2.7378948991244930e+08 -2.7407823999508959e+08 -2.7441374411157119e+08 -2.7480324574850315e+08 -2.7525484254612690e+08 -2.7577743748290914e+08 -2.7638067048817712e+08 -2.7707477627498871e+08 -2.7787034486765134e+08 -2.7877788111651206e+08 -2.7980717844136649e+08 -2.8096636328473210e+08 -2.8226057831010187e+08 -2.8369007850063843e+08 -2.8536848783557737e+08 -2.8717185101602274e+08 -2.8905680303957343e+08 -2.9095168612420303e+08 -2.9274731214057279e+08 -2.9428683221622831e+08 -2.9535610344441354e+08 -2.9567709252672005e+08 -2.9490866266748226e+08 -2.9265910260740972e+08 -2.8852686278520095e+08 -2.8212829157516897e+08 -2.7316568606948000e+08 -2.6155408603071591e+08 -2.4741923872221717e+08 -2.3113665295235524e+08 -2.1328487026581156e+08 -1.9456639335936910e+08 -1.7570752607962871e+08 -1.5734226740189633e+08 -1.3998746033758447e+08 -1.2397926080374970e+08 -1.0952779668799320e+08 -9.6691943255270332e+07 -8.5469244412899420e+07 -7.5796860599333704e+07 -6.7563049575805813e+07 -6.0671513290898964e+07 -5.5004848851604111e+07 -5.0438633419940755e+07 -4.6875711929202519e+07 -4.4176205402657196e+07 -4.2223771615176655e+07 -4.0882422436364546e+07 -4.0012434137982480e+07 -3.9497179450435147e+07 -3.9203112418992743e+07 -3.9031752208171085e+07 -3.8929610063690923e+07 -3.8876604238986775e+07 -3.8829369652667537e+07 -3.8783882600782819e+07 -3.8737257067378670e+07 -3.8689466300289206e+07 -3.8643086260481209e+07 -3.8578860702323824e+07 -3.8521289730885908e+07 -3.8459598950161122e+07 -3.8392633351071455e+07 -3.8319490576233253e+07 -3.8239074944587983e+07 -3.8150151413146749e+07 -3.8055095318293102e+07 -3.7933533210191377e+07 -3.7810047834365942e+07 -3.7671466736786395e+07 -3.7515762546807550e+07 -3.7340754657951780e+07 -3.7144192917015813e+07 -3.6923821598308414e+07 -3.6681143314139284e+07 -3.6396698861720525e+07 -3.6093374376842909e+07 -3.5760341357497446e+07 -3.5398372719478413e+07 -3.5010311601974465e+07 -3.4600999770730749e+07 -3.4179656823277138e+07 -3.3763677733060434e+07 -3.3357354638862483e+07 -3.3014358018765353e+07 -3.2768013801244460e+07 -3.2683528387173396e+07 -3.2843394718020540e+07 -3.3379668234870695e+07 -3.4491730597889170e+07 -3.6497735007572144e+07 -3.9899516007260546e+07 3.4477607059655809e+08 +2.0624874958319417e+00 -2.7261450394746417e+08 -2.7255650376797670e+08 -2.7246222649559516e+08 -2.7234222581912291e+08 -2.7222763673645270e+08 -2.7216600298127854e+08 -2.7217801574580628e+08 -2.7222799214927506e+08 -2.7228029051067990e+08 -2.7232831702368510e+08 -2.7237694369662374e+08 -2.7242726726402688e+08 -2.7247898600558865e+08 -2.7253247645741326e+08 -2.7258857726577270e+08 -2.7264799944090950e+08 -2.7271167952367842e+08 -2.7278098339744121e+08 -2.7285755690757048e+08 -2.7294325628441548e+08 -2.7304020138290280e+08 -2.7315068806028211e+08 -2.7327654227571219e+08 -2.7342049384247798e+08 -2.7359320817351806e+08 -2.7380252731698138e+08 -2.7404883259852076e+08 -2.7433544309441704e+08 -2.7466841858746672e+08 -2.7505493118926728e+08 -2.7550299365056372e+08 -2.7602140794716269e+08 -2.7661969367407101e+08 -2.7730794193678719e+08 -2.7809657111648208e+08 -2.7899588065295708e+08 -2.8001541792490643e+08 -2.8116301462086415e+08 -2.8244346057185763e+08 -2.8385658929949737e+08 -2.8551393281713486e+08 -2.8729190601606053e+08 -2.8914627035003883e+08 -2.9100435569769388e+08 -2.9275583445157760e+08 -2.9424263165136695e+08 -2.9524937785473478e+08 -2.9549696361412513e+08 -2.9464355636971343e+08 -2.9229744205958498e+08 -2.8805812732347429e+08 -2.8154430402994853e+08 -2.7246199880431384e+08 -2.6073127945546481e+08 -2.4648348666042748e+08 -2.3009937573763981e+08 -2.1216152318997684e+08 -1.9337459779926711e+08 -1.7446509406985196e+08 -1.5606547990746939e+08 -1.3869006741026545e+08 -1.2267198643035869e+08 -1.0821849216513936e+08 -9.5385870714826852e+07 -8.4169665572276920e+07 -7.4505522180933923e+07 -6.6280574877882659e+07 -5.9397818090064906e+07 -5.3739419550274253e+07 -4.9180656071021512e+07 -4.5624290832311615e+07 -4.2930380064162806e+07 -4.0982630279959105e+07 -3.9645112305624731e+07 -3.8778267185626678e+07 -3.8265652571285494e+07 -3.7973846660821237e+07 -3.7804504024947397e+07 -3.7704291205372475e+07 -3.7652658535102539e+07 -3.7606813284668751e+07 -3.7562745068888143e+07 -3.7517606100608774e+07 -3.7471349027364038e+07 -3.7426594934246898e+07 -3.7364027150170781e+07 -3.7308301968760259e+07 -3.7248586558853202e+07 -3.7183762256753482e+07 -3.7112955085879438e+07 -3.7035103853364579e+07 -3.6949012367776170e+07 -3.6857112917713657e+07 -3.6739019583317243e+07 -3.6619454776606508e+07 -3.6485269297702238e+07 -3.6334499554377504e+07 -3.6165033577124640e+07 -3.5974691994611137e+07 -3.5761290079634108e+07 -3.5526410056893319e+07 -3.5250576245254710e+07 -3.4956833755815089e+07 -3.4634317632474162e+07 -3.4283776466351628e+07 -3.3907963768327259e+07 -3.3511568803913828e+07 -3.3103520899900910e+07 -3.2700784087998718e+07 -3.2306937609453898e+07 -3.1974770114824556e+07 -3.1736211120993599e+07 -3.1654527387827273e+07 -3.1809389479639407e+07 -3.2328749129751857e+07 -3.3405769041874211e+07 -3.5348758521808125e+07 -3.8642953966698833e+07 3.4530790531668675e+08 +2.0674558186062000e+00 -2.7287824487791228e+08 -2.7282032011979198e+08 -2.7272616637037915e+08 -2.7260631741333723e+08 -2.7249186397932827e+08 -2.7243028651746315e+08 -2.7244224806914455e+08 -2.7249211352184856e+08 -2.7254428739549476e+08 -2.7259218193632203e+08 -2.7264066026779747e+08 -2.7269081525864559e+08 -2.7274234218121099e+08 -2.7279561364301836e+08 -2.7285146273890704e+08 -2.7291059444820404e+08 -2.7297393801928127e+08 -2.7304285008629680e+08 -2.7311896549898499e+08 -2.7320412766288102e+08 -2.7330044129048020e+08 -2.7341018452978081e+08 -2.7353516140992105e+08 -2.7367806515045136e+08 -2.7384950457473940e+08 -2.7405728510379863e+08 -2.7430176289211881e+08 -2.7458621294860494e+08 -2.7491663533097976e+08 -2.7530013017428899e+08 -2.7574462464949960e+08 -2.7625881893795449e+08 -2.7685211140145630e+08 -2.7753444852040267e+08 -2.7831607589377433e+08 -2.7920708628734547e+08 -2.8021677966096473e+08 -2.8135269147411060e+08 -2.8261925719235820e+08 -2.8401588735418838e+08 -2.8565200911195278e+08 -2.8740441498319507e+08 -2.8922799222747773e+08 -2.9104905895945972e+08 -2.9275615058835709e+08 -2.9418997137521309e+08 -2.9513393451737022e+08 -2.9530786852933115e+08 -2.9436926486563766e+08 -2.9192643202003974e+08 -2.8757996195326561e+08 -2.8095091923183978e+08 -2.7174908337823123e+08 -2.5989956066254130e+08 -2.4553927815596658e+08 -2.2905421180233419e+08 -2.1103093308614203e+08 -1.9217623096155497e+08 -1.7321674795472836e+08 -1.5478338837034002e+08 -1.3738791347603866e+08 -1.2136041905350819e+08 -1.0690528829416275e+08 -9.4076224312744722e+07 -8.2866778695218384e+07 -7.3211090893034607e+07 -6.4995180295020573e+07 -5.8121340981133834e+07 -5.2471317471716329e+07 -4.7920091260219783e+07 -4.4370347770273022e+07 -4.1682082032277942e+07 -3.9739052205633365e+07 -3.8405390752128750e+07 -3.7541706069117509e+07 -3.7031742907731988e+07 -3.6742205708485305e+07 -3.6574886064073689e+07 -3.6476606875522994e+07 -3.6426350150882989e+07 -3.6381896967987001e+07 -3.6339250338114589e+07 -3.6295600800872728e+07 -3.6250880373572484e+07 -3.6207755314110994e+07 -3.6146848618235014e+07 -3.6092972779558130e+07 -3.6035236543397553e+07 -3.5972557661485925e+07 -3.5904090592946790e+07 -3.5828808699625224e+07 -3.5745554716751792e+07 -3.5656817953773052e+07 -3.5542200201275200e+07 -3.5426563521693751e+07 -3.5296782136551745e+07 -3.5150956355229236e+07 -3.4987042977534838e+07 -3.4802933550866023e+07 -3.4596514483447038e+07 -3.4369447726342976e+07 -3.4102241285113417e+07 -3.3818099277860925e+07 -3.3506120342052210e+07 -3.3167028697250940e+07 -3.2803488052917417e+07 -3.2420034880111847e+07 -3.2025307674394440e+07 -3.1635838657562874e+07 -3.1254492977748264e+07 -3.0933175503193319e+07 -3.0702416752081119e+07 -3.0623540063758411e+07 -3.0773388247670490e+07 -3.1275801391067475e+07 -3.2317711218789928e+07 -3.4197564085983112e+07 -3.7383966459924139e+07 3.4583596446301854e+08 +2.0724241413804583e+00 -2.7313566861183065e+08 -2.7307781725622040e+08 -2.7298378659672654e+08 -2.7286409053237808e+08 -2.7274977341994894e+08 -2.7268825232983750e+08 -2.7270016224481905e+08 -2.7274991605940104e+08 -2.7280196441820002e+08 -2.7284972587435633e+08 -2.7289805464628255e+08 -2.7294803956551474e+08 -2.7299937299002075e+08 -2.7305242345454222e+08 -2.7310801850644296e+08 -2.7316685702294427e+08 -2.7322986087879294e+08 -2.7329837737570244e+08 -2.7337403026049829e+08 -2.7345864998881763e+08 -2.7355432598740131e+08 -2.7366331852613640e+08 -2.7378740948906678e+08 -2.7392925513603348e+08 -2.7409940719321895e+08 -2.7430563415244049e+08 -2.7454826677007067e+08 -2.7483053559767139e+08 -2.7515838045793015e+08 -2.7553882891076767e+08 -2.7597972185839367e+08 -2.7648965690127677e+08 -2.7707791027246958e+08 -2.7775428281667507e+08 -2.7852884621785605e+08 -2.7941148531370056e+08 -2.8041125127800733e+08 -2.8153538187992126e+08 -2.8278795670556635e+08 -2.8416796180820829e+08 -2.8578270667475230e+08 -2.8750936888626838e+08 -2.8930196091036195e+08 -2.9108578973517847e+08 -2.9274825635634720e+08 -2.9412884964616781e+08 -2.9500977470356703e+08 -2.9510981218779361e+08 -2.9408579738711864e+08 -2.9154608669167411e+08 -2.8709238638951147e+08 -2.8034816272181731e+08 -2.7102697112718445e+08 -2.5905896633159083e+08 -2.4458665436670902e+08 -2.2800120560512653e+08 -2.0989314640256065e+08 -1.9097134003667495e+08 -1.7196253463660407e+08 -1.5349603867367807e+08 -1.3608104296860799e+08 -1.2004460147658980e+08 -1.0558822624631971e+08 -9.2763043697374046e+07 -8.1560622072454363e+07 -7.1913603853161842e+07 -6.3706901954978168e+07 -5.6842117271577217e+07 -5.1200577253745928e+07 -4.6656973087305948e+07 -4.3113916417079382e+07 -4.0431344651054606e+07 -3.8493070485686816e+07 -3.7163290683897614e+07 -3.6302783561179362e+07 -3.5795483133172385e+07 -3.5508222160418846e+07 -3.5342930863442652e+07 -3.5246589558300167e+07 -3.5197711533399820e+07 -3.5154653112562567e+07 -3.5113430780778341e+07 -3.5071273501104765e+07 -3.5028092631176978e+07 -3.4986599649400376e+07 -3.4927357311573461e+07 -3.4875334319424748e+07 -3.4819581007519841e+07 -3.4759051612321287e+07 -3.4692929082638390e+07 -3.4620221400649026e+07 -3.4539810302238457e+07 -3.4454242185126156e+07 -3.4343106730491526e+07 -3.4231405632080033e+07 -3.4106036699250773e+07 -3.3965164264484599e+07 -3.3806814027496316e+07 -3.3628948589200951e+07 -3.3429525628429785e+07 -3.3210286934613317e+07 -3.2951724364804499e+07 -3.2677201072506018e+07 -3.2375779337016605e+07 -3.2048158960003905e+07 -3.1696913678938199e+07 -3.1326426880088318e+07 -3.0945045675163519e+07 -3.0568869619203631e+07 -3.0200048590169057e+07 -2.9889601743139248e+07 -2.9666658047418650e+07 -2.9590593693737652e+07 -2.9735418433623876e+07 -3.0220852878653042e+07 -3.1227585917380776e+07 -3.3044182159575801e+07 -3.6122586797986194e+07 3.4636024804277128e+08 +2.0773924641547166e+00 -2.7338675795374113e+08 -2.7332898117041159e+08 -2.7323507505149144e+08 -2.7311553221254539e+08 -2.7300135177638417e+08 -2.7293988685921532e+08 -2.7295174416182142e+08 -2.7300138568121856e+08 -2.7305330748662120e+08 -2.7310093476780409e+08 -2.7314911275971591e+08 -2.7319892611397749e+08 -2.7325006436547315e+08 -2.7330289182931143e+08 -2.7335823051089203e+08 -2.7341677311451197e+08 -2.7347943405922168e+08 -2.7354755123335421e+08 -2.7362273717090100e+08 -2.7370680925579774e+08 -2.7380184148485935e+08 -2.7391007608155781e+08 -2.7403327257042950e+08 -2.7417404988675433e+08 -2.7434290215415162e+08 -2.7454756063343579e+08 -2.7478833045713413e+08 -2.7506839733128029e+08 -2.7539364033518767e+08 -2.7577101385759753e+08 -2.7620827184659964e+08 -2.7671390853880286e+08 -2.7729707714782453e+08 -2.7796743187737519e+08 -2.7873486937084657e+08 -2.7960906529365563e+08 -2.8059882067605436e+08 -2.8171107415113139e+08 -2.8294954792710727e+08 -2.8431280209381998e+08 -2.8590601575680631e+08 -2.8760675900021094e+08 -2.8936816895177126e+08 -2.9111454217592818e+08 -2.9273214789627659e+08 -2.9405926506957126e+08 -2.9487690003974241e+08 -2.9490279986558425e+08 -2.9379316352949089e+08 -2.9115642063532996e+08 -2.8659542069212538e+08 -2.7973606036049187e+08 -2.7029569367169386e+08 -2.5820953338326201e+08 -2.4362565664006329e+08 -2.2694040174231055e+08 -2.0874820967653018e+08 -1.8975997226098087e+08 -1.7070250103078923e+08 -1.5220347669002798e+08 -1.3476950029409161e+08 -1.1872457646546383e+08 -1.0426734714986610e+08 -9.1446368471379325e+07 -8.0251233947560027e+07 -7.0613098131992936e+07 -6.2415775938982338e+07 -5.5560182223043971e+07 -4.9927233488708831e+07 -4.5391335606965601e+07 -4.1855030402470060e+07 -3.9178201220266931e+07 -3.7244718169685140e+07 -3.5918844965527095e+07 -3.5061532391074665e+07 -3.4556905877693444e+07 -3.4271928571833052e+07 -3.4108670917951763e+07 -3.4014271694755755e+07 -3.3966775086659409e+07 -3.3925114085444942e+07 -3.3885318726237826e+07 -3.3844656491298310e+07 -3.3803018049619809e+07 -3.3763160146732368e+07 -3.3705585392516434e+07 -3.3655418701866888e+07 -3.3601652012512237e+07 -3.3543276113804240e+07 -3.3479502497630656e+07 -3.3409373831303164e+07 -3.3331810924214102e+07 -3.3249417328307588e+07 -3.3141770795259006e+07 -3.3034012628331352e+07 -3.2913064390116666e+07 -3.2777154555765726e+07 -3.2624377853952464e+07 -3.2452768071890242e+07 -3.2260354292391013e+07 -3.2048958253223661e+07 -3.1799055827545818e+07 -3.1534169229322545e+07 -3.1243324428499680e+07 -3.0927196763260841e+07 -3.0588269830813143e+07 -3.0230773646310877e+07 -2.9862763392731268e+07 -2.9499905112975549e+07 -2.9143632256130461e+07 -2.8844076357438821e+07 -2.8628962323695760e+07 -2.8555715520448405e+07 -2.8695507412665762e+07 -2.9163931415441647e+07 -3.0135421888369292e+07 -3.1888643161626142e+07 -3.4858848247656792e+07 3.4688075616526181e+08 +2.0823607869289749e+00 -2.7363149868783623e+08 -2.7357379852902770e+08 -2.7348001631659144e+08 -2.7336062848866266e+08 -2.7324658516608787e+08 -2.7318517595315486e+08 -2.7319697998586720e+08 -2.7324650850205749e+08 -2.7329830275928074e+08 -2.7334579478979391e+08 -2.7339382077634311e+08 -2.7344346107692075e+08 -2.7349440248328483e+08 -2.7354700494746703e+08 -2.7360208493769312e+08 -2.7366032891538352e+08 -2.7372264376181984e+08 -2.7379035786919034e+08 -2.7386507245300651e+08 -2.7394859170192081e+08 -2.7404297403871381e+08 -2.7415044347298443e+08 -2.7427273695656043e+08 -2.7441243573694658e+08 -2.7457997582934964e+08 -2.7478305096499115e+08 -2.7502194042651409e+08 -2.7529978468839324e+08 -2.7562240158017600e+08 -2.7599667172551531e+08 -2.7643026143722188e+08 -2.7693156080761600e+08 -2.7750959914621758e+08 -2.7817388301510286e+08 -2.7893413289971310e+08 -2.7979981405652124e+08 -2.8077947602776426e+08 -2.8187975687718481e+08 -2.8310401995563287e+08 -2.8445039793217641e+08 -2.8602192690609843e+08 -2.8769657690442717e+08 -2.8942660921970356e+08 -2.9113531075742245e+08 -2.9270782168472481e+08 -2.9398121659581089e+08 -2.9473531250593704e+08 -2.9468683719890803e+08 -2.9349137324898237e+08 -2.9075744876771957e+08 -2.8608908526172864e+08 -2.7911463832545847e+08 -2.6955528291383827e+08 -2.5735129897365710e+08 -2.4265632650931552e+08 -2.2587184494448760e+08 -2.0759616953091800e+08 -1.8854217491545570e+08 -1.6943669406419027e+08 -1.5090574827922440e+08 -1.3345332983013526e+08 -1.1740038674797377e+08 -1.0294269208925755e+08 -9.0126238190751716e+07 -7.8938652516900077e+07 -6.9309610752528533e+07 -6.1121838280934028e+07 -5.4275571050257206e+07 -4.8651320722761020e+07 -4.4123212828371309e+07 -4.0593723310757175e+07 -3.7922684994984485e+07 -3.5994028262663580e+07 -3.4672086417123921e+07 -3.3817985243912622e+07 -3.3316043727291487e+07 -3.3033357453929264e+07 -3.2872138678504791e+07 -3.2779685682131477e+07 -3.2733573170939296e+07 -3.2693312209925540e+07 -3.2654946460202768e+07 -3.2615782017839331e+07 -3.2575688834785540e+07 -3.2537468969078626e+07 -3.2481564979907140e+07 -3.2433257996941645e+07 -3.2381481576177321e+07 -3.2325263127282340e+07 -3.2263842737584915e+07 -3.2196297823400397e+07 -3.2121588339620419e+07 -3.2042375056972526e+07 -3.1938223977205746e+07 -3.1834415988471761e+07 -3.1717896570887156e+07 -3.1586958460452046e+07 -3.1439765541763190e+07 -3.1274422919451784e+07 -3.1089031211560700e+07 -3.0885492212326344e+07 -3.0644265975528002e+07 -3.0389033797183726e+07 -3.0108785387376301e+07 -2.9804171575807817e+07 -2.9477585653489821e+07 -2.9133103982238393e+07 -2.8778489279078417e+07 -2.8428973240908928e+07 -2.8085271747492742e+07 -2.7796626831677385e+07 -2.7589356860671800e+07 -2.7518932749695301e+07 -2.7653682522960007e+07 -2.8105064786781330e+07 -2.9041247843459975e+07 -3.0730977470082328e+07 -3.3592784030901961e+07 3.4739748904125476e+08 +2.0873291097032332e+00 -2.7386988193719131e+08 -2.7381225534948027e+08 -2.7371859970173794e+08 -2.7359936245626569e+08 -2.7348545917718625e+08 -2.7342410546429348e+08 -2.7343585620716208e+08 -2.7348527088426971e+08 -2.7353693664916205e+08 -2.7358429235457063e+08 -2.7363216510573798e+08 -2.7368163087107319e+08 -2.7373237376028937e+08 -2.7378474923201489e+08 -2.7383956821620876e+08 -2.7389751086154580e+08 -2.7395947643141514e+08 -2.7402678373741007e+08 -2.7410102257380289e+08 -2.7418398380910605e+08 -2.7427771014955443e+08 -2.7438440722227305e+08 -2.7450578919568390e+08 -2.7464439926580656e+08 -2.7481061483767080e+08 -2.7501209181222582e+08 -2.7524908339959311e+08 -2.7552468445686376e+08 -2.7584465106030756e+08 -2.7621578947782499e+08 -2.7664567770714712e+08 -2.7714260092142665e+08 -2.7771546364384943e+08 -2.7837362380295366e+08 -2.7912662461442441e+08 -2.7998371969906610e+08 -2.8095320577716070e+08 -2.8204141892419928e+08 -2.8325136217179900e+08 -2.8458073933298892e+08 -2.8613043096697640e+08 -2.8777881448349851e+08 -2.8947727489657974e+08 -2.9114809027982605e+08 -2.9267527453200901e+08 -2.9389470351916093e+08 -2.9458501443464434e+08 -2.9446193018223441e+08 -2.9318043686044043e+08 -2.9034918635834718e+08 -2.8557340083813739e+08 -2.7848392310861051e+08 -2.6880577103420323e+08 -2.5648430049408042e+08 -2.4167870569174159e+08 -2.2479558007353574e+08 -2.0643707267155546e+08 -1.8731799532253638e+08 -1.6816516067273363e+08 -1.4960289928671488e+08 -1.3213257592451937e+08 -1.1607207501204936e+08 -1.0161430210386857e+08 -8.8802692363963947e+07 -7.7622915928108260e+07 -6.8003178689272016e+07 -5.9825124966657832e+07 -5.2988318920546100e+07 -4.7372873455103010e+07 -4.2852638714209989e+07 -3.9330028680445060e+07 -3.6664829184572183e+07 -3.4741033724272870e+07 -3.3423047813704275e+07 -3.2572174759792883e+07 -3.2072929223132424e+07 -3.1792541273178738e+07 -3.1633366551290192e+07 -3.1542863873075303e+07 -3.1498138101955175e+07 -3.1459279764732897e+07 -3.1422346223914828e+07 -3.1384682282730848e+07 -3.1346137148204822e+07 -3.1309558235238705e+07 -3.1255328148360312e+07 -3.1208884230577406e+07 -3.1159101672388505e+07 -3.1105044570010457e+07 -3.1045981658138096e+07 -3.0981025164946947e+07 -3.0909174261732038e+07 -3.0833147001190603e+07 -3.0732497814479291e+07 -3.0632647147141933e+07 -3.0520564560210641e+07 -3.0394607166954264e+07 -3.0253008133030567e+07 -3.0093944009693235e+07 -2.9915587079866771e+07 -2.9719919300155383e+07 -2.9487385069274440e+07 -2.9241824783633713e+07 -2.8972191943574149e+07 -2.8679112825817883e+07 -2.8364890251792636e+07 -2.8033446651748277e+07 -2.7692251746996138e+07 -2.7356102066341937e+07 -2.7024994797862757e+07 -2.6747280613568608e+07 -2.6547868900595855e+07 -2.6480272549854677e+07 -2.6609971065041989e+07 -2.7044280739708684e+07 -2.7945092454925142e+07 -2.9571215421049014e+07 -3.2324427323780652e+07 3.4791044698231107e+08 +2.0922974324774914e+00 -2.7410188884077418e+08 -2.7404433778071088e+08 -2.7395080661937553e+08 -2.7383172584757280e+08 -2.7371796020751196e+08 -2.7365666266210896e+08 -2.7366835963676804e+08 -2.7371765947613531e+08 -2.7376919581804216e+08 -2.7381641411983967e+08 -2.7386413239708030e+08 -2.7391342215639699e+08 -2.7396396485584557e+08 -2.7401611134871167e+08 -2.7407066701922011e+08 -2.7412830563243598e+08 -2.7418991875617254e+08 -2.7425681553625149e+08 -2.7433057424402893e+08 -2.7441297230433995e+08 -2.7450603656226885e+08 -2.7461195409671092e+08 -2.7473241608118027e+08 -2.7486992729937476e+08 -2.7503480604394490e+08 -2.7523467008793831e+08 -2.7546974634558868e+08 -2.7574308367406011e+08 -2.7606037589410192e+08 -2.7642835432917440e+08 -2.7685450798639351e+08 -2.7734701634811932e+08 -2.7791465827557808e+08 -2.7856664207513469e+08 -2.7931233258915544e+08 -2.8016077058575594e+08 -2.8111999863968378e+08 -2.8219604943483031e+08 -2.8339156423820281e+08 -2.8470381659362692e+08 -2.8623151907936388e+08 -2.8785346392588103e+08 -2.8952015947788441e+08 -2.9115287586619794e+08 -2.9263450358232838e+08 -2.9379972547703153e+08 -2.9442600851008892e+08 -2.9422808516600120e+08 -2.9286036503659058e+08 -2.8993164902854908e+08 -2.8504838849731869e+08 -2.7784394151236379e+08 -2.6804719048873499e+08 -2.5560857556595257e+08 -2.4069283608443937e+08 -2.2371165212040463e+08 -2.0527096588509983e+08 -1.8608748084443814e+08 -1.6688794779994789e+08 -1.4829497554262769e+08 -1.3080728289374281e+08 -1.1473968390511325e+08 -1.0028221818719050e+08 -8.7475770450934321e+07 -7.6304062279497176e+07 -6.6693838867200196e+07 -5.8525671932978623e+07 -5.1698460952708602e+07 -4.6091926137208670e+07 -4.1579647179975249e+07 -3.8063980003164731e+07 -3.5404666952001110e+07 -3.3485767468134850e+07 -3.2171761884412009e+07 -3.1324133533103466e+07 -3.0827594860784803e+07 -3.0549512450567231e+07 -3.0392386897176173e+07 -3.0303838574825987e+07 -3.0260502150098447e+07 -3.0223048983455114e+07 -3.0187550213424243e+07 -3.0151389442866143e+07 -3.0114395106314622e+07 -3.0079460018924091e+07 -3.0026906927599017e+07 -2.9982329383848120e+07 -2.9934544230135601e+07 -2.9882652314636301e+07 -2.9825951070336893e+07 -2.9763587599405739e+07 -2.9694600359368004e+07 -2.9621764746745884e+07 -2.9524623801015951e+07 -2.9428737494950645e+07 -2.9321099632830020e+07 -2.9200131819906712e+07 -2.9064136626354065e+07 -2.8911362177291755e+07 -2.8740052548176009e+07 -2.8552269962114476e+07 -2.8328443326835431e+07 -2.8092572154120430e+07 -2.7833573785295911e+07 -2.7552049900271609e+07 -2.7250212689823117e+07 -2.6931830378319595e+07 -2.6604079169578474e+07 -2.6281319613288511e+07 -2.5962829102002397e+07 -2.5696065112410653e+07 -2.5504525647437613e+07 -2.5439762051228896e+07 -2.5564400301173959e+07 -2.5981606982429173e+07 -2.6846984354835164e+07 -2.8409387308170788e+07 -3.1053811256000377e+07 3.4841963040013981e+08 +2.0972657552517497e+00 -2.7432750882720017e+08 -2.7427003348068416e+08 -2.7417662873361677e+08 -2.7405770260701275e+08 -2.7394407534120524e+08 -2.7388283444156367e+08 -2.7389447725579715e+08 -2.7394366120125240e+08 -2.7399506717014736e+08 -2.7404214698708981e+08 -2.7408970953901094e+08 -2.7413882183648205e+08 -2.7418916267171907e+08 -2.7424107820679468e+08 -2.7429536826233751e+08 -2.7435270015107775e+08 -2.7441395766800982e+08 -2.7448044020736498e+08 -2.7455371441865188e+08 -2.7463554415794408e+08 -2.7472794026647508e+08 -2.7483307110783875e+08 -2.7495260465190953e+08 -2.7508900690899009e+08 -2.7525253655952203e+08 -2.7545077295196253e+08 -2.7568391648247254e+08 -2.7595496962664735e+08 -2.7626956345016551e+08 -2.7663435374649763e+08 -2.7705673985943234e+08 -2.7754479481237328e+08 -2.7810717093373048e+08 -2.7875292592588246e+08 -2.7949124516181439e+08 -2.8033095534768027e+08 -2.8127984360273838e+08 -2.8234363782765538e+08 -2.8352461609902120e+08 -2.8481962030024308e+08 -2.8632518267837155e+08 -2.8792051772400826e+08 -2.8955525677214950e+08 -2.9114966296249723e+08 -2.9258550631186199e+08 -2.9369628244850492e+08 -2.9425829776552701e+08 -2.9398530885621703e+08 -2.9253116880479223e+08 -2.8950485274826157e+08 -2.8451406964928418e+08 -2.7719472064801431e+08 -2.6727957400602049e+08 -2.5472416203838867e+08 -2.3969875976226136e+08 -2.2262010620230263e+08 -2.0409789603674641e+08 -1.8485067888102117e+08 -1.6560510239535436e+08 -1.4698202285937366e+08 -1.2947749502180831e+08 -1.1340325603248134e+08 -9.8946481285518020e+07 -8.6145511862180054e+07 -7.4982129618952692e+07 -6.5381628161220536e+07 -5.7223515066918664e+07 -5.0406032216560677e+07 -4.4808513171963587e+07 -4.0304272093100362e+07 -3.6795610723065354e+07 -3.4142231413107134e+07 -3.2228262360890687e+07 -3.0918261311769210e+07 -3.0073894111770194e+07 -2.9580073089448608e+07 -2.9304303360809382e+07 -2.9149232030812442e+07 -2.9062642048621096e+07 -2.9020697539762404e+07 -2.8984652053626042e+07 -2.8950590578939412e+07 -2.8915935609244261e+07 -2.8880494779770505e+07 -2.8847206348181307e+07 -2.8796333301606279e+07 -2.8753625392184019e+07 -2.8707841132878754e+07 -2.8658118188212819e+07 -2.8603782739849634e+07 -2.8544016824946515e+07 -2.8477898256144147e+07 -2.8408259834294565e+07 -2.8314633385846477e+07 -2.8222718377740175e+07 -2.8119533018936563e+07 -2.8003563519571513e+07 -2.7873181976114295e+07 -2.7726708212884855e+07 -2.7562458223697294e+07 -2.7382574600221790e+07 -2.7167470923206028e+07 -2.6941305831461821e+07 -2.6692960558392085e+07 -2.6423012144217856e+07 -2.6133581990110632e+07 -2.5828283844538588e+07 -2.5513999879322086e+07 -2.5204653865821552e+07 -2.4898802315194022e+07 -2.4643007698357068e+07 -2.4459354266498562e+07 -2.4397428345450554e+07 -2.4516997454740722e+07 -2.4917071183584686e+07 -2.5746952134420514e+07 -2.7245523381873056e+07 -2.9780968909923702e+07 3.4892503980594820e+08 +2.1022340780260080e+00 -2.7454672566293794e+08 -2.7448932854170871e+08 -2.7439605113028318e+08 -2.7427728051508582e+08 -2.7416379262688947e+08 -2.7410260802292621e+08 -2.7411419614819366e+08 -2.7416326322544813e+08 -2.7421453784723425e+08 -2.7426147809996909e+08 -2.7430888366141939e+08 -2.7435781705766827e+08 -2.7440795435233665e+08 -2.7445963695829540e+08 -2.7451365910498464e+08 -2.7457068158368421e+08 -2.7463158034253687e+08 -2.7469764493665403e+08 -2.7477043029684103e+08 -2.7485168658535767e+08 -2.7494340849630696e+08 -2.7504774551304030e+08 -2.7516634219218272e+08 -2.7530162541255456e+08 -2.7546379374290752e+08 -2.7566038781161970e+08 -2.7589158127614564e+08 -2.7616032985027117e+08 -2.7647220134773594e+08 -2.7683377544817299e+08 -2.7725236116327780e+08 -2.7773592429405820e+08 -2.7829298976857543e+08 -2.7893246371010917e+08 -2.7966335093353081e+08 -2.8049426288384217e+08 -2.8143272992457014e+08 -2.8248417379791546e+08 -2.8365050797978002e+08 -2.8492814132541108e+08 -2.8641141349409348e+08 -2.8797996867320299e+08 -2.8958256090025538e+08 -2.9113844733620685e+08 -2.9252828052841181e+08 -2.9358437475400579e+08 -2.9408188558295929e+08 -2.9373360831123978e+08 -2.9219285954614192e+08 -2.8906881383363724e+08 -2.8397046603471905e+08 -2.7653628793229228e+08 -2.6650295458411703e+08 -2.5383109798531291e+08 -2.3869651897433382e+08 -2.2152098755923131e+08 -2.0291791006724066e+08 -1.8360763686743897e+08 -1.6431667141179535e+08 -1.4566408703075048e+08 -1.2814325655861793e+08 -1.1206283395658244e+08 -9.7607132297142059e+07 -8.4811955957645312e+07 -7.3657155943411574e+07 -6.4066583395044483e+07 -5.5918690205080800e+07 -4.9111067731841907e+07 -4.3522668912930749e+07 -3.9026547272300586e+07 -3.5524954235965610e+07 -3.2877555635847460e+07 -3.0968551221742921e+07 -2.9662578730857182e+07 -2.8821488996548798e+07 -2.8330396311300743e+07 -2.8056946331680275e+07 -2.7903934219950642e+07 -2.7819306508839976e+07 -2.7778756448602755e+07 -2.7744121116100430e+07 -2.7711499423877101e+07 -2.7678352846274879e+07 -2.7644468192698419e+07 -2.7612829204528704e+07 -2.7563639207992468e+07 -2.7522804144681040e+07 -2.7479024217831578e+07 -2.7431473971716188e+07 -2.7379508386199310e+07 -2.7322344493736528e+07 -2.7259099529808376e+07 -2.7192663758773804e+07 -2.7102557972334377e+07 -2.7014621095833883e+07 -2.6915895903262317e+07 -2.6804933321089253e+07 -2.6680175091737676e+07 -2.6540012862409953e+07 -2.6382834669174105e+07 -2.6210863572414882e+07 -2.6004497989589583e+07 -2.5788055694881849e+07 -2.5550381865752172e+07 -2.5292028860119164e+07 -2.5015027133195318e+07 -2.4722835691291075e+07 -2.4422042167690400e+07 -2.4126132767340023e+07 -2.3832942052517332e+07 -2.3588135701863267e+07 -2.3412381883544385e+07 -2.3353298484772932e+07 -2.3467789709631216e+07 -2.3850700971703488e+07 -2.4645024343423352e+07 -2.6079653848632332e+07 -2.8505933319930851e+07 3.4942667580979782e+08 +2.1072024008002663e+00 -2.7475953245816493e+08 -2.7470221083765447e+08 -2.7460905933135957e+08 -2.7449044877433097e+08 -2.7437709952956915e+08 -2.7431597045840013e+08 -2.7432750365126491e+08 -2.7437645293943512e+08 -2.7442759522373807e+08 -2.7447439484314227e+08 -2.7452164213663989e+08 -2.7457039520826226e+08 -2.7462032728555393e+08 -2.7467177499830008e+08 -2.7472552694938964e+08 -2.7478223733958572e+08 -2.7484277419870436e+08 -2.7490841715365076e+08 -2.7498070932182091e+08 -2.7506138704597455e+08 -2.7515242873111486e+08 -2.7525596481398386e+08 -2.7537361623187846e+08 -2.7550777037313926e+08 -2.7566856519845831e+08 -2.7586350232140851e+08 -2.7609272844052088e+08 -2.7635915213021517e+08 -2.7666827745637429e+08 -2.7702660740494388e+08 -2.7744135998926252e+08 -2.7792039302796900e+08 -2.7847210318776143e+08 -2.7910524404307801e+08 -2.7982863876925731e+08 -2.8065068235958892e+08 -2.8157864713424659e+08 -2.8261764731563616e+08 -2.8376923038753867e+08 -2.8502937082975966e+08 -2.8649020355145419e+08 -2.8803180987211776e+08 -2.8960206629442549e+08 -2.9111922507636893e+08 -2.9246282437109405e+08 -2.9346400305268139e+08 -2.9389677569178611e+08 -2.9347299094192833e+08 -2.9184544899262315e+08 -2.8862354894600278e+08 -2.8341759972307760e+08 -2.7586867108433682e+08 -2.6571736548743886e+08 -2.5292942170229000e+08 -2.3768615614142722e+08 -2.2041434155239201e+08 -2.0173105499092034e+08 -1.8235840227257544e+08 -1.6302270180466652e+08 -1.4434121383013645e+08 -1.2680461171899572e+08 -1.1071846019529212e+08 -9.6264212071171299e+07 -8.3475142045987934e+07 -7.2329179197441325e+07 -6.2748741340441659e+07 -5.4611233132397607e+07 -4.7813602467583381e+07 -4.2234427663578995e+07 -3.7746506486797333e+07 -3.4252043888745591e+07 -3.1610672639479283e+07 -2.9706666821404349e+07 -2.8404746728746697e+07 -2.7566950640175186e+07 -2.7078596880671512e+07 -2.6807473643199161e+07 -2.6656525684750069e+07 -2.6573864122328002e+07 -2.6534711006709218e+07 -2.6501488264294446e+07 -2.6470308804347981e+07 -2.6438673171015225e+07 -2.6406347321929879e+07 -2.6376360522248920e+07 -2.6328856537161157e+07 -2.6289897483360849e+07 -2.6248125275161654e+07 -2.6202751399139352e+07 -2.6153159682182003e+07 -2.6098602211226400e+07 -2.6038235711572010e+07 -2.5975007968624108e+07 -2.5888428917533316e+07 -2.5804476903354973e+07 -2.5710219424619060e+07 -2.5604272233722877e+07 -2.5485146837076589e+07 -2.5351306826437205e+07 -2.5201212402251568e+07 -2.5037167191739596e+07 -2.4839554612674471e+07 -2.4632851579647094e+07 -2.4405867266552005e+07 -2.4159129307172921e+07 -2.3894577056759886e+07 -2.3615514517269105e+07 -2.3328234284325805e+07 -2.3045784220052592e+07 -2.2765275888360120e+07 -2.2531476413053405e+07 -2.2363635584357522e+07 -2.2307399481579278e+07 -2.2416804209571410e+07 -2.2782523934538394e+07 -2.3541229489423390e+07 -2.4911808870374676e+07 -2.7228737471669432e+07 3.4992453911995792e+08 +2.1121707235745246e+00 -2.7496591372572029e+08 -2.7490866993320388e+08 -2.7481564535061371e+08 -2.7469719050515378e+08 -2.7458398256926709e+08 -2.7452290946348512e+08 -2.7453438735984331e+08 -2.7458321795610321e+08 -2.7463422690911913e+08 -2.7468088483889198e+08 -2.7472797258383244e+08 -2.7477654392014605e+08 -2.7482626910186160e+08 -2.7487747996587354e+08 -2.7493095944123811e+08 -2.7498735507196963e+08 -2.7504752689963162e+08 -2.7511274453134799e+08 -2.7518453918050307e+08 -2.7526463324330401e+08 -2.7535498869362420e+08 -2.7545771675725639e+08 -2.7557441454569864e+08 -2.7570742960009629e+08 -2.7586683877765596e+08 -2.7606010438307440e+08 -2.7628734593797791e+08 -2.7655142450032079e+08 -2.7685777989584392e+08 -2.7721283783923990e+08 -2.7762372468147618e+08 -2.7809818950464308e+08 -2.7864449985685897e+08 -2.7927125580029190e+08 -2.7998709779660273e+08 -2.8080020320747268e+08 -2.8171758503246248e+08 -2.8274404862665433e+08 -2.8388077410949928e+08 -2.8512330026047158e+08 -2.8656154516904801e+08 -2.8807603472075987e+08 -2.8961376769802356e+08 -2.9109199259192532e+08 -2.9238913630754220e+08 -2.9333516834270823e+08 -2.9370297216619068e+08 -2.9320346450797528e+08 -2.9148894922585207e+08 -2.8816907508787745e+08 -2.8285549311009389e+08 -2.7519189812325573e+08 -2.6492284024426478e+08 -2.5201917170387727e+08 -2.3666771385279360e+08 -2.1930021366041785e+08 -2.0053737789265504e+08 -1.8110302259586287e+08 -1.6172324052940634e+08 -1.4301344900889531e+08 -1.2546160468119216e+08 -1.0937017722150020e+08 -9.4917761406645581e+07 -8.2135109383584768e+07 -7.0998237272898972e+07 -6.1428138716531500e+07 -5.3301179581876896e+07 -4.6513671341314048e+07 -4.0943823676583543e+07 -3.6464183455506533e+07 -3.2976912978376869e+07 -3.0341615393899996e+07 -2.8442641881564017e+07 -2.7144797843543921e+07 -2.6310311446755458e+07 -2.5824707103319477e+07 -2.5555917526992887e+07 -2.5407038596996818e+07 -2.5326347007631771e+07 -2.5288593296005599e+07 -2.5256785543438505e+07 -2.5227050728345919e+07 -2.5196928552495550e+07 -2.5166164096298490e+07 -2.5137832187745329e+07 -2.5092017131697912e+07 -2.5054937202440899e+07 -2.5015176047377869e+07 -2.4971982156864937e+07 -2.4924768252947446e+07 -2.4872821535446648e+07 -2.4815338285164122e+07 -2.4755323865061179e+07 -2.4672277531357430e+07 -2.4592317007563841e+07 -2.4502534675058745e+07 -2.4401611220196515e+07 -2.4288128029611886e+07 -2.4160620759484302e+07 -2.4017621894786093e+07 -2.3861515725804597e+07 -2.3672670834049158e+07 -2.3475723276155643e+07 -2.3259446275527868e+07 -2.3024342700669076e+07 -2.2772260655066159e+07 -2.2506348878170766e+07 -2.2232604436512124e+07 -2.1963636084274650e+07 -2.1695831355681531e+07 -2.1473057081037000e+07 -2.1313142414043631e+07 -2.1259758307676461e+07 -2.1364068057617795e+07 -2.1712567618357938e+07 -2.2435596037233982e+07 -2.3742018563748203e+07 -2.5949414301190201e+07 3.5041863054226321e+08 +2.1171390463487829e+00 -2.7516585710015243e+08 -2.7510868876276487e+08 -2.7501579310320294e+08 -2.7489749781574166e+08 -2.7478442956824100e+08 -2.7472341310502023e+08 -2.7473483498339164e+08 -2.7478354611115217e+08 -2.7483442074912483e+08 -2.7488093594654393e+08 -2.7492786287019867e+08 -2.7497625106681800e+08 -2.7502576767646736e+08 -2.7507673974339694e+08 -2.7512994446871090e+08 -2.7518602267703098e+08 -2.7524582635095370e+08 -2.7531061498743868e+08 -2.7538190780424464e+08 -2.7546141312554991e+08 -2.7555107635187501e+08 -2.7565298933518881e+08 -2.7576872515396023e+08 -2.7590059114858675e+08 -2.7605860257781321e+08 -2.7625018214543378e+08 -2.7647542197847104e+08 -2.7673713524373454e+08 -2.7704069703654474e+08 -2.7739245522419244e+08 -2.7779944383798987e+08 -2.7826930246987200e+08 -2.7881016869897896e+08 -2.7943048811698735e+08 -2.8013871740673286e+08 -2.8094281512623096e+08 -2.8184953368986076e+08 -2.8286336825294185e+08 -2.8398513021382540e+08 -2.8520992135075486e+08 -2.8662543095946556e+08 -2.8811263692155409e+08 -2.8961766016487908e+08 -2.9105674661120439e+08 -2.9230721513460791e+08 -2.9319787195921206e+08 -2.9350047942556888e+08 -2.9292503711792463e+08 -2.9112337267513996e+08 -2.8770540960163915e+08 -2.8228416891438448e+08 -2.7450599736528146e+08 -2.6411941264270103e+08 -2.5110038671948931e+08 -2.3564123486351654e+08 -2.1817864947709289e+08 -1.9933692592647260e+08 -1.7984154536633012e+08 -1.6041833453982523e+08 -1.4168083829516920e+08 -1.2411427958558758e+08 -1.0801802746137147e+08 -9.3567821051504076e+07 -8.0791897173464000e+07 -6.9664368007775277e+07 -6.0104812188817583e+07 -5.1988565233313285e+07 -4.5211309218181454e+07 -3.9650891152884737e+07 -3.5179611846269540e+07 -3.1699594751359232e+07 -2.9070416818842944e+07 -2.7176509074047059e+07 -2.5882764563780963e+07 -2.5051603770951588e+07 -2.4568759235756177e+07 -2.4302310165437438e+07 -2.4155505079375837e+07 -2.4076787234290693e+07 -2.4040435349402666e+07 -2.4010044949889176e+07 -2.3981757155013043e+07 -2.3953150910947211e+07 -2.3923950395930704e+07 -2.3897276038756352e+07 -2.3853152785596978e+07 -2.3817955047614101e+07 -2.3780208228485987e+07 -2.3739197882935341e+07 -2.3694365675415408e+07 -2.3645033976216182e+07 -2.3590438686381534e+07 -2.3533642801395312e+07 -2.3454135076017138e+07 -2.3378172568047084e+07 -2.3292872699162338e+07 -2.3196981195989791e+07 -2.3089149439801570e+07 -2.2967985269216981e+07 -2.2832093572122660e+07 -2.2683939396014351e+07 -2.2503876649397317e+07 -2.2316700529388525e+07 -2.2111148362464815e+07 -2.1887698211309124e+07 -2.1648106778311681e+07 -2.1395367286149722e+07 -2.1135180788464379e+07 -2.0879716177778780e+07 -2.0624635945401218e+07 -2.0412904913423371e+07 -2.0260929376441028e+07 -2.0210401893709876e+07 -2.0309608315373123e+07 -2.0640859527476057e+07 -2.1328152408220753e+07 -2.2570312999464240e+07 -2.4667996694374297e+07 3.5090895097947103e+08 +2.1221073691230412e+00 -2.7535934998070878e+08 -2.7530225967391670e+08 -2.7520949246702141e+08 -2.7509135513774610e+08 -2.7497842911028403e+08 -2.7491746932714695e+08 -2.7492883442054462e+08 -2.7497742547125137e+08 -2.7502816483456987e+08 -2.7507453626339626e+08 -2.7512130111236143e+08 -2.7516950476442665e+08 -2.7521881112800312e+08 -2.7526954245658982e+08 -2.7532247016384035e+08 -2.7537822829384470e+08 -2.7543766070220000e+08 -2.7550201668209839e+08 -2.7557280336811823e+08 -2.7565171488468122e+08 -2.7574067991828704e+08 -2.7584177078382891e+08 -2.7595653632283890e+08 -2.7608724331967163e+08 -2.7624384494286573e+08 -2.7643372400471240e+08 -2.7665694502031213e+08 -2.7691627289300168e+08 -2.7721701749851149e+08 -2.7756544828590477e+08 -2.7796850630928302e+08 -2.7843372092455709e+08 -2.7896909889399678e+08 -2.7958293038877910e+08 -2.8028348725349277e+08 -2.8107850808105558e+08 -2.8197448344727910e+08 -2.8297559698989224e+08 -2.8408229004892361e+08 -2.8528922612077743e+08 -2.8668185382809269e+08 -2.8814161047700214e+08 -2.8961373905805331e+08 -2.9101348418100363e+08 -2.9221705997703308e+08 -2.9305211557360190e+08 -2.9328930223091358e+08 -2.9263771722641742e+08 -2.9074873211410612e+08 -2.8723257016759121e+08 -2.8170365017558277e+08 -2.7381099742084229e+08 -2.6330711672920293e+08 -2.5017310569209209e+08 -2.3460676209148204e+08 -2.1704969470926782e+08 -1.9812974631205529e+08 -1.7857401813982135e+08 -1.5910803078679374e+08 -1.4034342739199066e+08 -1.2276268053350548e+08 -1.0666205329351065e+08 -9.2214431701302171e+07 -7.9445544564680323e+07 -6.8327609185370073e+07 -5.8778798368308827e+07 -5.0673425712795958e+07 -4.3906550910383157e+07 -3.8355664241017967e+07 -3.3892825275162138e+07 -3.0420122402865358e+07 -2.7797109783170465e+07 -2.5908301020157669e+07 -2.4618679327714361e+07 -2.3790859917277280e+07 -2.3310785484473325e+07 -2.3046683691092968e+07 -2.2901957204768311e+07 -2.2825216822114520e+07 -2.2790269150197148e+07 -2.2761298430344515e+07 -2.2734459993911028e+07 -2.2707372117099736e+07 -2.2679738051519778e+07 -2.2654723863627546e+07 -2.2612295243532900e+07 -2.2578982715386868e+07 -2.2543253463377059e+07 -2.2504430166321613e+07 -2.2461983477613006e+07 -2.2415270994548745e+07 -2.2363568302255008e+07 -2.2309996082361795e+07 -2.2234032765205003e+07 -2.2162074696078673e+07 -2.2081264493363407e+07 -2.1990413028642509e+07 -2.1888241790446386e+07 -2.1773430915926762e+07 -2.1644657812394455e+07 -2.1504468376907013e+07 -2.1333202007897194e+07 -2.1155813038147829e+07 -2.0961002951407384e+07 -2.0749224964583434e+07 -2.0522144231895559e+07 -2.0282598209149182e+07 -2.0035991460739437e+07 -1.9794052275244758e+07 -1.9551717105864428e+07 -1.9351047075549167e+07 -1.9207023433517884e+07 -1.9159357128593847e+07 -1.9253452002556033e+07 -1.9567427123535592e+07 -2.0218926979672384e+07 -2.1396722201558966e+07 -2.3384517486079969e+07 3.5139550143062192e+08 +2.1270756918972995e+00 -2.7554638306537354e+08 -2.7548936834511602e+08 -2.7539673142686570e+08 -2.7527875406318229e+08 -2.7516597014526749e+08 -2.7510506625899559e+08 -2.7511637396634465e+08 -2.7516484435023504e+08 -2.7521544750947428e+08 -2.7526167412953711e+08 -2.7530827567589831e+08 -2.7535629337225658e+08 -2.7540538781859773e+08 -2.7545587647480232e+08 -2.7550852490091091e+08 -2.7556396030523551e+08 -2.7562301834621423e+08 -2.7568693802096069e+08 -2.7575721429144877e+08 -2.7583552695703262e+08 -2.7592378784985292e+08 -2.7602404958510178e+08 -2.7613783656240082e+08 -2.7626737465973377e+08 -2.7642255446352011e+08 -2.7661071860390317e+08 -2.7683190376945537e+08 -2.7708882622864187e+08 -2.7738673015239561e+08 -2.7773180600123918e+08 -2.7813090119967765e+08 -2.7859143412437129e+08 -2.7912127987970787e+08 -2.7972857227072185e+08 -2.8042139725377256e+08 -2.8120727230344790e+08 -2.8209242491674691e+08 -2.8308072590852475e+08 -2.8417224524263054e+08 -2.8536120687537885e+08 -2.8673080697339523e+08 -2.8816294969132954e+08 -2.8960200004953504e+08 -2.9096220266666490e+08 -2.9211867028563815e+08 -2.9289790119211662e+08 -2.9306944568560475e+08 -2.9234151363309580e+08 -2.9036504066042262e+08 -2.8675057480083555e+08 -2.8111396025188470e+08 -2.7310692719169682e+08 -2.6248598680487809e+08 -2.4923736777353325e+08 -2.3356433861396760e+08 -2.1591339517270383e+08 -1.9691588633300310e+08 -1.7730048849702904e+08 -1.5779237621563298e+08 -1.3900126197604418e+08 -1.2140685158595248e+08 -1.0530229704785152e+08 -9.0857633998791322e+07 -7.8096090651051551e+07 -6.6987998533430174e+07 -5.7450133810852535e+07 -4.9355796591828696e+07 -4.2599431176077716e+07 -3.7058177036473975e+07 -3.2603857305731975e+07 -2.9138529076090112e+07 -2.6521727104118723e+07 -2.4638050289872997e+07 -2.3352574522511601e+07 -2.2528112139404472e+07 -2.2050818005220335e+07 -2.1789070185840245e+07 -2.1646426995534964e+07 -2.1571667740465086e+07 -2.1538126631249558e+07 -2.1510577881193783e+07 -2.1485191104356389e+07 -2.1459623991486888e+07 -2.1433558843564823e+07 -2.1410207400629412e+07 -2.1369476200149477e+07 -2.1338051852302879e+07 -2.1304343347114146e+07 -2.1267710546228409e+07 -2.1227653137807224e+07 -2.1183564001867760e+07 -2.1134758470338274e+07 -2.1084414963280167e+07 -2.1012001763412643e+07 -2.0944054453925833e+07 -2.0867741005302131e+07 -2.0781937537089705e+07 -2.0685435755867589e+07 -2.0576988211701103e+07 -2.0455344945922963e+07 -2.0323132795484867e+07 -2.0160676811602350e+07 -1.9993090454510394e+07 -1.9809039420053165e+07 -1.9608952040041495e+07 -1.9394401775891993e+07 -1.9168070070241511e+07 -1.8935064529584739e+07 -1.8706672107577715e+07 -1.8477102242146220e+07 -1.8287510690000284e+07 -1.8151451504755657e+07 -1.8106650858819652e+07 -1.8195626096282195e+07 -1.8492297824880172e+07 -1.9107948084184401e+07 -2.0221276146812156e+07 -2.2099009459377155e+07 3.5187828299040014e+08 +2.1320440146715578e+00 -2.7572694179432017e+08 -2.7567000722252905e+08 -2.7557750067588139e+08 -2.7545968245564359e+08 -2.7534703987267190e+08 -2.7528619243838435e+08 -2.7529744241832370e+08 -2.7534579133148116e+08 -2.7539625737558037e+08 -2.7544233813154757e+08 -2.7548877517204481e+08 -2.7553660549217480e+08 -2.7558548635446453e+08 -2.7563573041122437e+08 -2.7568809729741615e+08 -2.7574320733642650e+08 -2.7580188791950375e+08 -2.7586536765173644e+08 -2.7593512923712862e+08 -2.7601283802321750e+08 -2.7610038884737992e+08 -2.7619981446456510e+08 -2.7631261462916607e+08 -2.7644097396099395e+08 -2.7659471997583860e+08 -2.7678115483278024e+08 -2.7700028717987788e+08 -2.7725478428092408e+08 -2.7754982411849403e+08 -2.7789151759799367e+08 -2.7828661786579579e+08 -2.7874243157986683e+08 -2.7926670135028368e+08 -2.7986740367750281e+08 -2.8055243758651930e+08 -2.8132909829086530e+08 -2.8220334897857124e+08 -2.8317874635390985e+08 -2.8425498770233035e+08 -2.8542585620516658e+08 -2.8677228388604474e+08 -2.8817664916753620e+08 -2.8958243912020606e+08 -2.9090289974985474e+08 -2.9201204583766145e+08 -2.9273523115408754e+08 -2.9284091523245740e+08 -2.9203643548029685e+08 -2.8997231177290106e+08 -2.8625944184909576e+08 -2.8051512281661719e+08 -2.7239381586826712e+08 -2.6165605742170864e+08 -2.4829321232280502e+08 -2.3251400766588959e+08 -2.1476979679097182e+08 -1.9569539333425748e+08 -1.7602100404180554e+08 -1.5647141776539427e+08 -1.3765438769620085e+08 -1.2004683676207529e+08 -1.0393880100450145e+08 -8.9497468532282799e+07 -7.6743574470562056e+07 -6.5645573723421402e+07 -5.6118855016275734e+07 -4.8035713386554316e+07 -4.1289984718923487e+07 -3.5758463580744334e+07 -3.1312741448260278e+07 -2.7854847861423276e+07 -2.5244301546628237e+07 -2.3365789401137825e+07 -2.2084482483595658e+07 -2.1263392639411367e+07 -2.0788888902314503e+07 -2.0529501680245791e+07 -2.0388946422758196e+07 -2.0316171907588564e+07 -2.0284039674354404e+07 -2.0257915147790503e+07 -2.0233982294678219e+07 -2.0209938303699419e+07 -2.0185444501768988e+07 -2.0163758337266114e+07 -2.0124727299411409e+07 -2.0095194054221962e+07 -2.0063509424164336e+07 -2.0029070511372495e+07 -1.9991406083925970e+07 -1.9949944359342217e+07 -1.9904040478040460e+07 -1.9856930649537351e+07 -1.9788073185328312e+07 -1.9724142854151238e+07 -1.9652333133055676e+07 -1.9571585490890779e+07 -1.9480761961337406e+07 -1.9378687619802006e+07 -1.9264185254467726e+07 -1.9139962730529398e+07 -1.8986330914626203e+07 -1.8828562383085132e+07 -1.8655287099077549e+07 -1.8466908470760446e+07 -1.8264908124327794e+07 -1.8051811247031137e+07 -1.7832428026319858e+07 -1.7617603361270323e+07 -1.7400818715457577e+07 -1.7222322835944071e+07 -1.7094240466574863e+07 -1.7052309888007347e+07 -1.7136157530486204e+07 -1.7415499006023619e+07 -1.7995244009007897e+07 -1.9044004763989013e+07 -2.0811505344953381e+07 3.5235729684849709e+08 +2.1370123374458161e+00 -2.7590102013795638e+08 -2.7584416227510792e+08 -2.7575178589693612e+08 -2.7563412668951267e+08 -2.7552162842584598e+08 -2.7546083746904033e+08 -2.7547202891412598e+08 -2.7552025527339053e+08 -2.7557058328823555e+08 -2.7561651710808969e+08 -2.7566278845421630e+08 -2.7571042996930087e+08 -2.7575909558530045e+08 -2.7580909312158620e+08 -2.7586117621416616e+08 -2.7591595825682843e+08 -2.7597425830101478e+08 -2.7603729446664518e+08 -2.7610653711194855e+08 -2.7618363700701565e+08 -2.7627047185653222e+08 -2.7636905439361203e+08 -2.7648085952379251e+08 -2.7660803026130301e+08 -2.7676033056282365e+08 -2.7694502182854152e+08 -2.7716208445297480e+08 -2.7741413632825184e+08 -2.7770628876678902e+08 -2.7804457255596220e+08 -2.7843564591747081e+08 -2.7888670305638242e+08 -2.7940535325693709e+08 -2.7999941478325796e+08 -2.8067659869325221e+08 -2.8144397680636001e+08 -2.8230724678404963e+08 -2.8326964994564563e+08 -2.8433050961496758e+08 -2.8548316698574483e+08 -2.8680627834787840e+08 -2.8818270380890870e+08 -2.8955505255798036e+08 -2.9083557342866123e+08 -2.9189718673427218e+08 -2.9256410813194561e+08 -2.9260371665237749e+08 -2.9172249225217009e+08 -2.8957055924991018e+08 -2.8575918999077094e+08 -2.7990716185641432e+08 -2.7167169292654628e+08 -2.6081736338131484e+08 -2.4734067890261024e+08 -2.3145581263644326e+08 -2.1361894559197611e+08 -1.9446831471979129e+08 -1.7473561239903277e+08 -1.5514520236622551e+08 -1.3630285017187414e+08 -1.1868268003820127e+08 -1.0257160739250396e+08 -8.8133975835238084e+07 -7.5388035004203469e+07 -6.4300372369449705e+07 -5.4784998427542657e+07 -4.6713211556887329e+07 -3.9978246187178008e+07 -3.4456557860697664e+07 -3.0019511158966754e+07 -2.6569111795790695e+07 -2.3964865822504476e+07 -2.2091550819236521e+07 -2.0814435493881568e+07 -1.9996733567055780e+07 -1.9525030227960449e+07 -1.9268010152834028e+07 -1.9129547405605327e+07 -1.9058761189782288e+07 -1.9028040109478701e+07 -1.9003342023739107e+07 -1.8980865321484830e+07 -1.8958346771719154e+07 -1.8935426704250585e+07 -1.8915408309513923e+07 -1.8878080133833461e+07 -1.8850440865730204e+07 -1.8820783187741466e+07 -1.8788541499325026e+07 -1.8753273692833804e+07 -1.8714443377147540e+07 -1.8671445561984904e+07 -1.8627574295799043e+07 -1.8562278095015530e+07 -1.8502370858922571e+07 -1.8435071724523805e+07 -1.8359387609656308e+07 -1.8274250982368827e+07 -1.8178559554027501e+07 -1.8071208970583081e+07 -1.7954988211957570e+07 -1.7810194122640375e+07 -1.7662258380335629e+07 -1.7499775271507394e+07 -1.7323123242590953e+07 -1.7133691944565449e+07 -1.6933850070998009e+07 -1.6728109936691578e+07 -1.6526873677873706e+07 -1.6322893842565386e+07 -1.6155510548544539e+07 -1.6035417151703691e+07 -1.5996360976128543e+07 -1.6075073195363227e+07 -1.6337057996960018e+07 -1.6880842995405331e+07 -1.7864937933269329e+07 -1.9522037820244063e+07 3.5283254428897440e+08 +2.1419806602200744e+00 -2.7606860225293839e+08 -2.7601182318030876e+08 -2.7591957598639214e+08 -2.7580208000332898e+08 -2.7568972425209540e+08 -2.7562899037237316e+08 -2.7564012263060039e+08 -2.7568822530203974e+08 -2.7573841434665114e+08 -2.7578420014847738e+08 -2.7583030461582130e+08 -2.7587775589167792e+08 -2.7592620460345930e+08 -2.7597595370501190e+08 -2.7602775075443476e+08 -2.7608220217772406e+08 -2.7614011861302364e+08 -2.7620270760138810e+08 -2.7627142706622767e+08 -2.7634791307695216e+08 -2.7643402606665385e+08 -2.7653175858712441e+08 -2.7664256049226022e+08 -2.7676853284388691e+08 -2.7691937555288255e+08 -2.7710230897450280e+08 -2.7731728503795350e+08 -2.7756687189779061e+08 -2.7785611371766174e+08 -2.7819096060559940e+08 -2.7857797521711391e+08 -2.7902423857361478e+08 -2.7953722580794340e+08 -2.8012459602102280e+08 -2.8079387127722794e+08 -2.8155189887807703e+08 -2.8240410975300443e+08 -2.8335342857608181e+08 -2.8439880344544643e+08 -2.8553313237657839e+08 -2.8683278443258536e+08 -2.8818110881664526e+08 -2.8951983695755643e+08 -2.9076022201628339e+08 -2.9177409340047312e+08 -2.9238453512889320e+08 -2.9235785606382179e+08 -2.9139969377159619e+08 -2.8915979722669184e+08 -2.8524983823271149e+08 -2.7929010166835213e+08 -2.7094058812597084e+08 -2.5996993973055270e+08 -2.4637980727617693e+08 -2.3038979706549117e+08 -2.1246088770537266e+08 -1.9323469795029351e+08 -1.7344436121189186e+08 -1.5381377693826449e+08 -1.3494669499162748e+08 -1.1731442534667973e+08 -1.0120075838900851e+08 -8.6767196384812444e+07 -7.4029511175297290e+07 -6.2952432027695633e+07 -5.3448600429912418e+07 -4.5388326505869150e+07 -3.8664250172905996e+07 -3.3152493807782121e+07 -2.8724199839305025e+07 -2.5281353861922599e+07 -2.2683452589817904e+07 -2.0815366955898479e+07 -1.9542465783081606e+07 -1.8728167019090466e+07 -1.8259273981415313e+07 -1.8004627529370964e+07 -1.7868261810592562e+07 -1.7799467400794361e+07 -1.7770159714050543e+07 -1.7746890250161596e+07 -1.7725871889034677e+07 -1.7704881061197642e+07 -1.7683537076831367e+07 -1.7665188901187010e+07 -1.7629566243819226e+07 -1.7603823779318798e+07 -1.7576196079094097e+07 -1.7546154895769443e+07 -1.7513287289593741e+07 -1.7477092313855868e+07 -1.7437004907182831e+07 -1.7396377005293805e+07 -1.7334647505318385e+07 -1.7278769379290443e+07 -1.7215987576677475e+07 -1.7145374562279299e+07 -1.7065933343983524e+07 -1.6976634377928033e+07 -1.6876446276954465e+07 -1.6768239220139058e+07 -1.6632296192100365e+07 -1.6494207953982804e+07 -1.6342533172028687e+07 -1.6177625293589307e+07 -1.6000781856692553e+07 -1.5814214826889368e+07 -1.5622138200305592e+07 -1.5434510653318318e+07 -1.5243354895135237e+07 -1.5087100818360012e+07 -1.4975008348581536e+07 -1.4938830839068430e+07 -1.5012399936711600e+07 -1.5257002082602419e+07 -1.5764773238080489e+07 -1.6684105485503996e+07 -1.8230639508814044e+07 3.5330402668963152e+08 +2.1469489829943327e+00 -2.7622967794342738e+08 -2.7617297975679576e+08 -2.7608086398896962e+08 -2.7596352828580976e+08 -2.7585131678034765e+08 -2.7579063982371294e+08 -2.7580171271914774e+08 -2.7584969078794837e+08 -2.7589973988465130e+08 -2.7594537659009248e+08 -2.7599131298763651e+08 -2.7603857259029728e+08 -2.7608680274421299e+08 -2.7613630150350499e+08 -2.7618781026526487e+08 -2.7624192845474970e+08 -2.7629945822149986e+08 -2.7636159643459171e+08 -2.7642978849462855e+08 -2.7650565564507991e+08 -2.7659104091180980e+08 -2.7668791650476849e+08 -2.7679770702543133e+08 -2.7692247123698783e+08 -2.7707184452071476e+08 -2.7725300590085226e+08 -2.7746587863120162e+08 -2.7771298076487088e+08 -2.7799928884021121e+08 -2.7833067172849792e+08 -2.7871359587975389e+08 -2.7915502840576720e+08 -2.7966230946725339e+08 -2.8024293808314943e+08 -2.8090424630386978e+08 -2.8165285580002719e+08 -2.8249392957445729e+08 -2.8343007441176778e+08 -2.8445986193776256e+08 -2.8557574582159108e+08 -2.8685179650411195e+08 -2.8817185969043851e+08 -2.8947678921994877e+08 -2.9067684414003402e+08 -2.9164276658421707e+08 -2.9219651547826910e+08 -2.9210333992038149e+08 -2.9106805020010614e+08 -2.8874004017391431e+08 -2.8473140590715015e+08 -2.7866396685732698e+08 -2.7020053150535548e+08 -2.5911382175929007e+08 -2.4541063740467867e+08 -2.2931600464191949e+08 -2.1129566936039150e+08 -1.9199459054097500e+08 -1.7214729814078352e+08 -1.5247718838938168e+08 -1.3358596771188499e+08 -1.1594211657412632e+08 -9.9826296118028834e+07 -8.5397170601183191e+07 -7.2668041848434001e+07 -6.1601790195311241e+07 -5.2109697350263834e+07 -4.4061093578829788e+07 -3.7348031211347833e+07 -3.1846305297356028e+07 -2.7426840835308187e+07 -2.3991606987557337e+07 -2.1400094452130437e+07 -1.9537270168795083e+07 -1.8268605527017906e+07 -1.7457725038591083e+07 -1.6991652108414046e+07 -1.6739385682178495e+07 -1.6605121450831121e+07 -1.6538322301152928e+07 -1.6510430212348850e+07 -1.6488591515038159e+07 -1.6469033648474015e+07 -1.6449572784745518e+07 -1.6429807192433715e+07 -1.6413131643181851e+07 -1.6379217116940534e+07 -1.6355374234766304e+07 -1.6329779486831490e+07 -1.6301942033849292e+07 -1.6271478146858688e+07 -1.6237922375614993e+07 -1.6200749646452378e+07 -1.6163369829188552e+07 -1.6105212377130426e+07 -1.6053369274593854e+07 -1.5995111434953449e+07 -1.5929576966311304e+07 -1.5855839520141061e+07 -1.5772942404266980e+07 -1.5679927305702178e+07 -1.5579745685238181e+07 -1.5452666829640854e+07 -1.5324440562326103e+07 -1.5183589986414490e+07 -1.5030443513322193e+07 -1.4866206432836521e+07 -1.4692933752069991e+07 -1.4514540709970605e+07 -1.4340541837332793e+07 -1.4162229099193774e+07 -1.4017120590758335e+07 -1.3913040800835185e+07 -1.3879746147941984e+07 -1.3948164555405354e+07 -1.4175358502195554e+07 -1.4647062884492218e+07 -1.5501537201593343e+07 -1.6937342979555462e+07 3.5377174552137095e+08 +2.1519173057685910e+00 -2.7638423676802158e+08 -2.7632761836896145e+08 -2.7623563651851851e+08 -2.7611846143563998e+08 -2.7600639503754497e+08 -2.7594577550496131e+08 -2.7595678852383876e+08 -2.7600464132529157e+08 -2.7605454946838772e+08 -2.7610003601311666e+08 -2.7614580313858795e+08 -2.7619286963830477e+08 -2.7624087958501178e+08 -2.7629012610143250e+08 -2.7634134433579391e+08 -2.7639512668542039e+08 -2.7645226673528701e+08 -2.7651395058857787e+08 -2.7658161103386986e+08 -2.7665685436679482e+08 -2.7674150606920749e+08 -2.7683751785085207e+08 -2.7694628885884678e+08 -2.7706983521424383e+08 -2.7721772728652179e+08 -2.7739710248455900e+08 -2.7760785517672867e+08 -2.7785245295349032e+08 -2.7813580425336075e+08 -2.7846369615686589e+08 -2.7884249827204478e+08 -2.7927906308101451e+08 -2.7978059495568514e+08 -2.8035443192037469e+08 -2.8100771500046343e+08 -2.8174683913055503e+08 -2.8257669820584702e+08 -2.8349957989184499e+08 -2.8451367811332953e+08 -2.8561100104778105e+08 -2.8686330921675497e+08 -2.8815495222736889e+08 -2.8942590655134553e+08 -2.9058543874141747e+08 -2.9150320735412854e+08 -2.9200005284166783e+08 -2.9184017500976866e+08 -2.9072757203484583e+08 -2.8831130289545691e+08 -2.8420391267000431e+08 -2.7802878233339518e+08 -2.6945155338183737e+08 -2.5824904499734744e+08 -2.4443320944430926e+08 -2.2823447919996193e+08 -2.1012333688253051e+08 -1.9074804005851993e+08 -1.7084447086078522e+08 -1.5113548361423108e+08 -1.3222071385522413e+08 -1.1456579756070158e+08 -9.8448262649390981e+07 -8.4023938846573576e+07 -7.1303665828721315e+07 -6.0248484309763938e+07 -5.0768325456185035e+07 -4.2731548062574208e+07 -3.6029623780020073e+07 -3.0538026147824015e+07 -2.6127467436767638e+07 -2.2699904044810858e+07 -2.0114823957747977e+07 -1.8257292760633402e+07 -1.6992886846898470e+07 -1.6185439614175336e+07 -1.5722196500425076e+07 -1.5472316429411411e+07 -1.5340158085416954e+07 -1.5275357597378712e+07 -1.5248883274675462e+07 -1.5228477452542426e+07 -1.5210382197156770e+07 -1.5192453501272798e+07 -1.5174268570291923e+07 -1.5159268012860555e+07 -1.5127064187271394e+07 -1.5105123618415214e+07 -1.5081564746220313e+07 -1.5055934193459334e+07 -1.5027877484107843e+07 -1.4996964715647895e+07 -1.4962710859732714e+07 -1.4928583765904954e+07 -1.4874003618747419e+07 -1.4826201351709466e+07 -1.4772473992490422e+07 -1.4712025387278846e+07 -1.4643999932994129e+07 -1.4567513894289272e+07 -1.4481682137775669e+07 -1.4389537486579157e+07 -1.4271335691423649e+07 -1.4152985613660147e+07 -1.4022974850793010e+07 -1.3881606742302015e+07 -1.3729994196593512e+07 -1.3570035035953438e+07 -1.3405345311088160e+07 -1.3244994732810307e+07 -1.3079543634489458e+07 -1.2945596765309975e+07 -1.2849541206619669e+07 -1.2819133528553769e+07 -1.2882393806763962e+07 -1.3092154448671101e+07 -1.3527740034280708e+07 -1.4317262811844977e+07 -1.5642180746070689e+07 3.5423570234756917e+08 +2.1568856285428493e+00 -2.7653227204540914e+08 -2.7647573356776309e+08 -2.7638388191475409e+08 -2.7626687230164278e+08 -2.7615494918653888e+08 -2.7609438729287416e+08 -2.7610533980003047e+08 -2.7615306672212589e+08 -2.7620283290127301e+08 -2.7624816823590082e+08 -2.7629376487745416e+08 -2.7634063685128999e+08 -2.7638842494534379e+08 -2.7643741732573175e+08 -2.7648834279846942e+08 -2.7654178671064711e+08 -2.7659853400501335e+08 -2.7665975992889953e+08 -2.7672688456533426e+08 -2.7680149914133799e+08 -2.7688541146057534e+08 -2.7698055257352531e+08 -2.7708829597234672e+08 -2.7721061479489046e+08 -2.7735701391677678e+08 -2.7753458884848732e+08 -2.7774320486572397e+08 -2.7798527873557889e+08 -2.7826565032567620e+08 -2.7859002437304461e+08 -2.7896467301369250e+08 -2.7939633338144773e+08 -2.7989207325000072e+08 -2.8045906874204671e+08 -2.8110426885488558e+08 -2.8183384069259453e+08 -2.8265240787358999e+08 -2.8356193772823238e+08 -2.8456024527112395e+08 -2.8563889206526631e+08 -2.8686731751413047e+08 -2.8813038252130800e+08 -2.8936718646223706e+08 -2.9048600507359886e+08 -2.9135541709974277e+08 -2.9179515120839739e+08 -2.9156836845144153e+08 -2.9037827010719156e+08 -2.8787360052633333e+08 -2.8366737849875182e+08 -2.7738457330961812e+08 -2.6869368434606284e+08 -2.5737564521152982e+08 -2.4344756374298105e+08 -2.2714526471701673e+08 -2.0894393669181159e+08 -1.8949509412011087e+08 -1.6953592706002659e+08 -1.4978870949177599e+08 -1.3085097890918021e+08 -1.1318551209876564e+08 -9.7066699997696698e+07 -8.2647541424153939e+07 -6.9936421860773191e+07 -5.8892551747966714e+07 -4.9424520955315307e+07 -4.1399725184743047e+07 -3.4709062298082374e+07 -2.9227690120051201e+07 -2.4826112876566712e+07 -2.1406277849431615e+07 -1.8827673599121410e+07 -1.6975466978601463e+07 -1.5715341808610817e+07 -1.4911342679344438e+07 -1.4450938993947418e+07 -1.4203451534398003e+07 -1.4073403418659473e+07 -1.4010604941314926e+07 -1.3985550516793463e+07 -1.3966579642260421e+07 -1.3949949077993309e+07 -1.3933554715270748e+07 -1.3916952675308861e+07 -1.3903629433266556e+07 -1.3873138834699472e+07 -1.3853103262509832e+07 -1.3831583138501739e+07 -1.3808162600563025e+07 -1.3782516467022423e+07 -1.3754250433375517e+07 -1.3722919573353078e+07 -1.3692049760395400e+07 -1.3641052085171681e+07 -1.3597296364394721e+07 -1.3548105889569011e+07 -1.3492750338009233e+07 -1.3430444952256383e+07 -1.3360379057066450e+07 -1.3281740802226635e+07 -1.3197644451921010e+07 -1.3088332382488033e+07 -1.2979872465500206e+07 -1.2860716851109093e+07 -1.2731143771308016e+07 -1.2592173622392362e+07 -1.2445546819318503e+07 -1.2294579801070202e+07 -1.2147896795240657e+07 -1.1995325633929225e+07 -1.1872556195216922e+07 -1.1784536218057638e+07 -1.1757019560814213e+07 -1.1815114399978491e+07 -1.2007417068094313e+07 -1.2406832738672487e+07 -1.3131311995305626e+07 -1.4345185265861932e+07 3.5469589882344538e+08 +2.1618539513171076e+00 -2.7667377138553411e+08 -2.7661731132160348e+08 -2.7652559134994829e+08 -2.7640874879272318e+08 -2.7629697055457801e+08 -2.7623646536886722e+08 -2.7624735672254026e+08 -2.7629495700878674e+08 -2.7634458023122609e+08 -2.7638976331202286e+08 -2.7643518825402188e+08 -2.7648186428652197e+08 -2.7652942888690287e+08 -2.7657816524462664e+08 -2.7662879572812998e+08 -2.7668189861497951e+08 -2.7673825012550986e+08 -2.7679901456389463e+08 -2.7686559921280074e+08 -2.7693958011150575e+08 -2.7702274725136721e+08 -2.7711701086496913e+08 -2.7722371859050214e+08 -2.7734480024197060e+08 -2.7748969472245961e+08 -2.7766545536169785e+08 -2.7787191813605571e+08 -2.7811144863079470e+08 -2.7838881767407632e+08 -2.7870964711054915e+08 -2.7908011097593147e+08 -2.7950683034300244e+08 -2.7999673558230871e+08 -2.8055684001594108e+08 -2.8119389961643428e+08 -2.8191385257367778e+08 -2.8272105107125252e+08 -2.8361714090519941e+08 -2.8459955698749995e+08 -2.8565941316684389e+08 -2.8686381662896198e+08 -2.8809814696207339e+08 -2.8930062676728988e+08 -2.9037854270206815e+08 -2.9119939752989024e+08 -2.9158181489383584e+08 -2.9128792769675291e+08 -2.9002015558110559e+08 -2.8742694853076667e+08 -2.8312182368917233e+08 -2.7673136529903060e+08 -2.6792695526108563e+08 -2.5649365840287155e+08 -2.4245374083781111e+08 -2.2604840531041032e+08 -2.0775751529924667e+08 -1.8823580039004049e+08 -1.6822171443735316e+08 -1.4843691288411847e+08 -1.2947680832478780e+08 -1.1180130393160596e+08 -9.5681650121186972e+07 -8.1268018577058837e+07 -6.8566348627936274e+07 -5.7534029825468257e+07 -4.8078319994353987e+07 -4.0065660112949021e+07 -3.3386381125603661e+07 -2.7915330916554607e+07 -2.3522810329904079e+07 -2.0110761160096530e+07 -1.7538675812025867e+07 -1.5691825013597529e+07 -1.4436002422038792e+07 -1.3635466111832719e+07 -1.3177911369795235e+07 -1.2932822704915171e+07 -1.2804889099473592e+07 -1.2744095929477217e+07 -1.2720463499131460e+07 -1.2702929608592752e+07 -1.2687765778715733e+07 -1.2672907876143824e+07 -1.2657890917375084e+07 -1.2646247272527263e+07 -1.2617472384236213e+07 -1.2599344444496267e+07 -1.2579865890230786e+07 -1.2558658426534804e+07 -1.2535426206771834e+07 -1.2509810573887767e+07 -1.2481406759408487e+07 -1.2453798703529866e+07 -1.2406388577466022e+07 -1.2366685012652028e+07 -1.2322037712850202e+07 -1.2271782277971689e+07 -1.2215204894522937e+07 -1.2151568048833737e+07 -1.2080133275634788e+07 -1.2004096356933329e+07 -1.1903686456077859e+07 -1.1805130424079807e+07 -1.1696845022424612e+07 -1.1579083340770792e+07 -1.1452773134853598e+07 -1.1319497193769496e+07 -1.1182271928710377e+07 -1.1049275432119358e+07 -1.0909602182947071e+07 -1.0798025686725218e+07 -1.0718052440693617e+07 -1.0693430778149357e+07 -1.0746352997534927e+07 -1.0921173459054317e+07 -1.1284368999790888e+07 -1.1943714379130889e+07 -1.3046388939677672e+07 3.5515233669543523e+08 +2.1668222740913659e+00 -2.7680872173145509e+08 -2.7675234480843872e+08 -2.7666075911176741e+08 -2.7654407917860436e+08 -2.7643244849846500e+08 -2.7637199975319707e+08 -2.7638282965195364e+08 -2.7643030245105040e+08 -2.7647978175154459e+08 -2.7652481153078377e+08 -2.7657006356139630e+08 -2.7661654224196482e+08 -2.7666388171321642e+08 -2.7671236016913515e+08 -2.7676269344290048e+08 -2.7681545272411335e+08 -2.7687140543352401e+08 -2.7693170484490454e+08 -2.7699774534339952e+08 -2.7707108766301596e+08 -2.7715350384982079e+08 -2.7724688316140342e+08 -2.7735254718222648e+08 -2.7747238206439537e+08 -2.7761576026037478e+08 -2.7778969263957512e+08 -2.7799398567237192e+08 -2.7823095340701318e+08 -2.7850529716478837e+08 -2.7882255535259813e+08 -2.7918880328167796e+08 -2.7961054525504237e+08 -2.8009457344129533e+08 -2.8064773746756905e+08 -2.8127659929530513e+08 -2.8198686712517977e+08 -2.8278262056098920e+08 -2.8366518267876887e+08 -2.8463160711549163e+08 -2.8567255892718655e+08 -2.8685280208245724e+08 -2.8805824223544872e+08 -2.8922622558419579e+08 -2.9026305150295508e+08 -2.9103515067152631e+08 -2.9136004853813964e+08 -2.9099886052608472e+08 -2.8965323995146263e+08 -2.8697136269967049e+08 -2.8256726885377264e+08 -2.7606918411156547e+08 -2.6715139725872466e+08 -2.5560312080323458e+08 -2.4145178145203325e+08 -2.2494394523478279e+08 -2.0656411930536911e+08 -1.8697020657797396e+08 -1.6690188070060128e+08 -1.4708014063459817e+08 -1.2809824751499119e+08 -1.1041321675203690e+08 -9.4293154920819163e+07 -7.9885410487801254e+07 -6.7193484751424775e+07 -5.6172955795590729e+07 -4.6729758658513784e+07 -3.8729387954078011e+07 -3.2061614562740069e+07 -2.6600982180794217e+07 -2.2217592913658723e+07 -1.8813386677702423e+07 -1.6247862974953130e+07 -1.4406398999562487e+07 -1.3154900640369905e+07 -1.2357841732825365e+07 -1.1903145352507792e+07 -1.1660461592514765e+07 -1.1534646720627146e+07 -1.1475862102356451e+07 -1.1453653726186667e+07 -1.1437558820000313e+07 -1.1423863731211217e+07 -1.1410544377535138e+07 -1.1397114650656123e+07 -1.1387152843164049e+07 -1.1360096105338009e+07 -1.1343878386362517e+07 -1.1326444172566444e+07 -1.1307452787444985e+07 -1.1286637759340379e+07 -1.1263676127230080e+07 -1.1238203335050931e+07 -1.1213861431364469e+07 -1.1170043842045248e+07 -1.1134397942015452e+07 -1.1094299994788986e+07 -1.1049151612624243e+07 -1.0998310022639712e+07 -1.0941110972355943e+07 -1.0876889481403368e+07 -1.0808922924450651e+07 -1.0717427413069040e+07 -1.0628788743633118e+07 -1.0531388348311096e+07 -1.0425454140140794e+07 -1.0311821108202655e+07 -1.0191914201066058e+07 -1.0068449393603824e+07 -9.9491580023168344e+06 -9.8224003189712577e+06 -9.7220319985368550e+06 -9.6501164328449834e+06 -9.6283936669331733e+06 -9.6761362146524042e+06 -9.8334506721008848e+06 -1.0160376770130910e+07 -1.0754499537920490e+07 -1.1745824110841259e+07 3.5560501780056292e+08 +2.1717905968656241e+00 -2.7693711927840376e+08 -2.7688082214194947e+08 -2.7678937259341401e+08 -2.7667285522509593e+08 -2.7656137292195773e+08 -2.7650098093115985e+08 -2.7651174904726714e+08 -2.7655909355364734e+08 -2.7660842799925220e+08 -2.7665330341945207e+08 -2.7669838133591247e+08 -2.7674466125721306e+08 -2.7679177396969271e+08 -2.7683999265089560e+08 -2.7689002650192797e+08 -2.7694243960705733e+08 -2.7699799050838906e+08 -2.7705782136552656e+08 -2.7712331356705558e+08 -2.7719601242492962e+08 -2.7727767190849560e+08 -2.7737016014282584e+08 -2.7747477246050614e+08 -2.7759335101475739e+08 -2.7773520133277369e+08 -2.7790729154305893e+08 -2.7810939840619159e+08 -2.7834378407933980e+08 -2.7861507991258574e+08 -2.7892874033264023e+08 -2.7929074130518287e+08 -2.7970746966016072e+08 -2.8018557856992316e+08 -2.8073175308032775e+08 -2.8135236016190791e+08 -2.8205287696189231e+08 -2.8283710937116802e+08 -2.8370605657629091e+08 -2.8465638978376669e+08 -2.8567832420214218e+08 -2.8683426968353587e+08 -2.8801066532115209e+08 -2.8914398133197522e+08 -2.9013953166161466e+08 -2.9086267886881143e+08 -2.9112985710442650e+08 -2.9070117504743689e+08 -2.8927753504152828e+08 -2.8650685914922714e+08 -2.8200373491915697e+08 -2.7539805585315406e+08 -2.6636704173703554e+08 -2.5470406887315753e+08 -2.4044172649217317e+08 -2.2383192887929711e+08 -2.0536379539671519e+08 -1.8569836043635365e+08 -1.6557647356489086e+08 -1.4571843956660700e+08 -1.2671534185354443e+08 -1.0902129420168281e+08 -9.2901256239095360e+07 -7.8499757276847064e+07 -6.5817868789307646e+07 -5.4809366848660700e+07 -4.5378872970591836e+07 -3.7390943753449000e+07 -3.0734796849085923e+07 -2.5284677496490669e+07 -2.0910493685647979e+07 -1.7514187044656046e+07 -1.4955267408336291e+07 -1.3119221012773884e+07 -1.1872068359413082e+07 -1.1078501306362184e+07 -1.0626672609526359e+07 -1.0386399791858727e+07 -1.0262707818075715e+07 -1.0205934943718556e+07 -1.0185152645796075e+07 -1.0170498688397495e+07 -1.0158274310865337e+07 -1.0146495556633044e+07 -1.0134655172987252e+07 -1.0126377401359972e+07 -1.0101041211246077e+07 -1.0086736253940927e+07 -1.0071349100646183e+07 -1.0054576743447445e+07 -1.0036182124910237e+07 -1.0015878027695701e+07 -9.9933401618686337e+06 -9.9722687245482598e+06 -9.9320485700522996e+06 -9.9004657429280560e+06 -9.8649232129131518e+06 -9.8248886927583516e+06 -9.7797905450255703e+06 -9.7290378762908690e+06 -9.6720392891422752e+06 -9.6121538238657620e+06 -9.5295847012541518e+06 -9.4508766258194800e+06 -9.3643757602311280e+06 -9.2702848073071744e+06 -9.1693458656422794e+06 -9.0628258325720616e+06 -8.9531398455342669e+06 -8.8475718155372795e+06 -8.7337470308008064e+06 -8.6446018412503377e+06 -8.5807547051268741e+06 -8.5619346658980921e+06 -8.6044906186918467e+06 -8.7442757091193311e+06 -9.0348839519277271e+06 -9.5636969931301493e+06 -1.0443523064489663e+07 3.5605394406581777e+08 +2.1767589196398824e+00 -2.7705895087286770e+08 -2.7700273691495293e+08 -2.7691142144461364e+08 -2.7679506976559514e+08 -2.7668373385451913e+08 -2.7662339957333130e+08 -2.7663410565504545e+08 -2.7668132105742013e+08 -2.7673050974813569e+08 -2.7677522974657917e+08 -2.7682013235718125e+08 -2.7686621211280072e+08 -2.7691309644407159e+08 -2.7696105348351431e+08 -2.7701078570766747e+08 -2.7706285007545847e+08 -2.7711799617193669e+08 -2.7717735496273959e+08 -2.7724229473628110e+08 -2.7731434526901108e+08 -2.7739524232247794e+08 -2.7748683273227054e+08 -2.7759038538190901e+08 -2.7770769809059709e+08 -2.7784800898648816e+08 -2.7801824317870891e+08 -2.7821814751555878e+08 -2.7844993191045958e+08 -2.7871815728091019e+08 -2.7902819353371477e+08 -2.7938591667213202e+08 -2.7979759535420668e+08 -2.8026974296659410e+08 -2.8080887909463906e+08 -2.8142117474688512e+08 -2.8211187496223634e+08 -2.8288451079841816e+08 -2.8373975639624041e+08 -2.8467389939707673e+08 -2.8567670412922251e+08 -2.8680821552856082e+08 -2.8795541349349028e+08 -2.8905389273212743e+08 -2.9000798367287600e+08 -2.9068198478166151e+08 -2.9089124587874848e+08 -2.9039487969536513e+08 -2.8889305300244236e+08 -2.8603345431857944e+08 -2.8143124312415886e+08 -2.7471800692095453e+08 -2.6557392035712603e+08 -2.5379653929834193e+08 -2.3942361704504427e+08 -2.2271240076498076e+08 -2.0415659034413055e+08 -1.8442030975819361e+08 -1.6424554074985552e+08 -1.4435185648106408e+08 -1.2532813667333965e+08 -1.0762557986934109e+08 -9.1505995859060854e+07 -7.7111099002001718e+07 -6.4439539235960223e+07 -5.3443300111194097e+07 -4.4025698890246555e+07 -3.6050362494286202e+07 -2.9405962162848603e+07 -2.3966450386820216e+07 -1.9601545643900417e+07 -1.6213194844192833e+07 -1.3660921373934764e+07 -1.1830323071169438e+07 -1.0587537416905168e+07 -9.7974765386281330e+06 -9.3485247506470345e+06 -9.1106688400341794e+06 -8.9891038703310266e+06 -8.9343458799635153e+06 -8.9149916484807450e+06 -8.9017805684359260e+06 -8.8910288358859643e+06 -8.8807926935138591e+06 -8.8705437251178678e+06 -8.8639521463371664e+06 -8.8403388583062496e+06 -8.8279491562896539e+06 -8.8146117328721024e+06 -8.8000612980616614e+06 -8.7840902471381202e+06 -8.7664471532082539e+06 -8.7468480451792981e+06 -8.7290513076094575e+06 -8.6924333967093993e+06 -8.6649189500994422e+06 -8.6339377892211378e+06 -8.5990238138444591e+06 -8.5596766150589027e+06 -8.5153787544873469e+06 -8.4656125140064340e+06 -8.4138186704989038e+06 -8.3401877147913342e+06 -8.2714232190608475e+06 -8.1958361369144320e+06 -8.1136039279555874e+06 -8.0253756787546929e+06 -7.9322600286262073e+06 -7.8363708838878730e+06 -7.7445441316854442e+06 -7.6436692580400687e+06 -7.5657618767707115e+06 -7.5099937198040169e+06 -7.4940801656199442e+06 -7.5314427285655970e+06 -7.6536755228163078e+06 -7.9079183965631519e+06 -8.3713362123762546e+06 -9.1395180269204322e+06 3.5649911750752956e+08 +2.1817272424141407e+00 -2.7717421069575268e+08 -2.7711807848037517e+08 -2.7702689672837991e+08 -2.7691071303110248e+08 -2.7679952428182179e+08 -2.7673924667692596e+08 -2.7674989053826880e+08 -2.7679697594420290e+08 -2.7684601800501734e+08 -2.7689058152271301e+08 -2.7693530764567959e+08 -2.7698118583025479e+08 -2.7702784016610461e+08 -2.7707553370186710e+08 -2.7712496210352641e+08 -2.7717667518289596e+08 -2.7723141348835117e+08 -2.7729029671499437e+08 -2.7735467994610518e+08 -2.7742607730994511e+08 -2.7750620623040479e+08 -2.7759689209694225e+08 -2.7769937714709574e+08 -2.7781541453320426e+08 -2.7795417451307535e+08 -2.7812253889889348e+08 -2.7832022442456764e+08 -2.7854938841019642e+08 -2.7881452088096195e+08 -2.7912090668832737e+08 -2.7947432125965786e+08 -2.7988091438525891e+08 -2.8034705888458908e+08 -2.8087910800851727e+08 -2.8148303584071207e+08 -2.8216385426744235e+08 -2.8292481840456349e+08 -2.8376627620799822e+08 -2.8468413063572711e+08 -2.8566769412570816e+08 -2.8677463600013226e+08 -2.8789248432014763e+08 -2.8895595880586916e+08 -2.8986840833884656e+08 -2.9049307138503432e+08 -2.9064422046727383e+08 -2.9007998322912663e+08 -2.8849980630962676e+08 -2.8555116496710593e+08 -2.8084981501630366e+08 -2.7402906400214648e+08 -2.6477206504130077e+08 -2.5288056898703071e+08 -2.3839749437510177e+08 -2.2158540554195699e+08 -2.0294255099927914e+08 -1.8313610237567121e+08 -1.6290912997870669e+08 -1.4298043815577614e+08 -1.2393667726523279e+08 -1.0622611729010493e+08 -9.0107415503497213e+07 -7.5719475657472849e+07 -6.3058534520790935e+07 -5.2074792645120636e+07 -4.2670272313249573e+07 -3.4707679096695580e+07 -2.8075144620299365e+07 -2.2646334313850202e+07 -1.8290781726022951e+07 -1.4910442599698626e+07 -1.2364857074114177e+07 -1.0539737133669427e+07 -9.3013395918411463e+06 -8.5147990772406384e+06 -8.0687333272587452e+06 -7.8333002158471001e+06 -7.7138662977264393e+06 -7.6611262794156820e+06 -7.6432020667622909e+06 -7.6314357568314886e+06 -7.6221585666028578e+06 -7.6134670104646711e+06 -7.6048114901067140e+06 -7.5999082197156996e+06 -7.5780201453096680e+06 -7.5675481449712012e+06 -7.5562630702910805e+06 -7.5439373975485833e+06 -7.5303930125237294e+06 -7.5154143246559659e+06 -7.4987577333996715e+06 -7.4842398483304475e+06 -7.4512289006270971e+06 -7.4277880417955769e+06 -7.4013740894955248e+06 -7.3715872153815990e+06 -7.3379983304055706e+06 -7.3001635454324521e+06 -7.2576389160842933e+06 -7.2139470249654669e+06 -7.1492657934968537e+06 -7.0904576179258507e+06 -7.0257983037414467e+06 -6.9554400349558694e+06 -6.8799387668945938e+06 -6.8002446779368464e+06 -6.7181700570756039e+06 -6.6401021603298299e+06 -6.5521938905444127e+06 -6.4855387177564204e+06 -6.4378598902690522e+06 -6.4248565079105580e+06 -6.4570190142412623e+06 -6.5616770160779459e+06 -6.7795079039659360e+06 -7.1774466088657752e+06 -7.8338411649151025e+06 3.5694054023074853e+08 +2.1866955651883990e+00 -2.7728288843004316e+08 -2.7722683491445738e+08 -2.7713579115799332e+08 -2.7701977556784952e+08 -2.7690873386772245e+08 -2.7684851398068112e+08 -2.7685909493744421e+08 -2.7690604944839436e+08 -2.7695494400841576e+08 -2.7699935000243330e+08 -2.7704389846226859e+08 -2.7708957367257410e+08 -2.7713599640716517e+08 -2.7718342458167863e+08 -2.7723254697524738e+08 -2.7728390622455269e+08 -2.7733823376392853e+08 -2.7739663794292480e+08 -2.7746046053401601e+08 -2.7753119990496731e+08 -2.7761055501341271e+08 -2.7770032964673334e+08 -2.7780173920032001e+08 -2.7791649182843751e+08 -2.7805368944885159e+08 -2.7822017030073839e+08 -2.7841562080340040e+08 -2.7864214533498567e+08 -2.7890416257273269e+08 -2.7920687177851403e+08 -2.7955594719480181e+08 -2.7995741905451524e+08 -2.8041751883148348e+08 -2.8094243257646519e+08 -2.8153793649325645e+08 -2.8220880828145093e+08 -2.8295802601844937e+08 -2.8378561035093933e+08 -2.8468707845425522e+08 -2.8565128988891459e+08 -2.8673352776706326e+08 -2.8782187566149455e+08 -2.8885017887445337e+08 -2.8972080676909363e+08 -2.9029594196753639e+08 -2.9038878679591614e+08 -2.8975649473094374e+08 -2.8809780776293504e+08 -2.8506000817361760e+08 -2.8025947245103890e+08 -2.7333125407139534e+08 -2.6396150796896523e+08 -2.5195619506759304e+08 -2.3736339992148054e+08 -2.2045098798641422e+08 -2.0172172429313004e+08 -1.8184578615679115e+08 -1.6156728897587299e+08 -1.4160423134305146e+08 -1.2254100887657622e+08 -1.0482294994390583e+08 -8.8705556833297685e+07 -7.4324927172809735e+07 -6.1674893007877424e+07 -5.0703881446948908e+07 -4.1312629070760474e+07 -3.3362928417183779e+07 -2.6742378274876460e+07 -2.1324362677685212e+07 -1.6978234808429610e+07 -1.3605962773975823e+07 -1.1067106651156140e+07 -9.2474950994901657e+06 -8.0135066037913915e+06 -7.2305005106339417e+06 -6.7873298317039935e+06 -6.5543253392298315e+06 -6.4370264617966646e+06 -6.3863074516972592e+06 -6.3698151745358855e+06 -6.3594954917379022e+06 -6.3516947048503859e+06 -6.3445496713322299e+06 -6.3374895926325833e+06 -6.3342767047800636e+06 -6.3141161128296088e+06 -6.3055642134341346e+06 -6.2963340559048736e+06 -6.2862359302356746e+06 -6.2751212497468507e+06 -6.2628103052298306e+06 -6.2490999173969999e+06 -6.2378649570729211e+06 -6.2084656031715414e+06 -6.1891034392481698e+06 -6.1672624226900246e+06 -6.1426090802708473e+06 -6.1147857323878231e+06 -6.0834221315365359e+06 -6.0481481997489259e+06 -6.0125683925474724e+06 -5.9568482222930528e+06 -5.9080088625265211e+06 -5.8542910321317324e+06 -5.7958216077752355e+06 -5.7330632966029495e+06 -5.6668076170373689e+06 -5.5985648619375052e+06 -5.5342730600879267e+06 -5.4593477678203899e+06 -5.4039589270467646e+06 -5.3643795804636385e+06 -5.3542899852692820e+06 -5.3812458960987972e+06 -5.4683070414454043e+06 -5.6496802220140891e+06 -5.9820575407316647e+06 -6.5265245850140769e+06 3.5737821442862427e+08 +2.1916638879626573e+00 -2.7738497412612587e+08 -2.7732900529851753e+08 -2.7723809514886159e+08 -2.7712224818228716e+08 -2.7701135531321132e+08 -2.7695119280628377e+08 -2.7696171029294223e+08 -2.7700853306685251e+08 -2.7705727923459923e+08 -2.7710152668309391e+08 -2.7714589630574512e+08 -2.7719136714410007e+08 -2.7723755667999333e+08 -2.7728471763950872e+08 -2.7733353184977728e+08 -2.7738453473762584e+08 -2.7743844854653770e+08 -2.7749637020949388e+08 -2.7755962807939112e+08 -2.7762970465346372e+08 -2.7770828029538316e+08 -2.7779713703459615e+08 -2.7789746322899431e+08 -2.7801092170553190e+08 -2.7814654557452500e+08 -2.7831112922680175e+08 -2.7850432856774420e+08 -2.7872819468839937e+08 -2.7898707446332777e+08 -2.7928608103501987e+08 -2.7963078685541213e+08 -2.8002710191460490e+08 -2.8048111556929666e+08 -2.8099884580973870e+08 -2.8158587001391941e+08 -2.8224673067010367e+08 -2.8298412773433942e+08 -2.8379775343399507e+08 -2.8468273808152616e+08 -2.8562748739577091e+08 -2.8668488778360093e+08 -2.8774358566950852e+08 -2.8873655255816573e+08 -2.8956518037827712e+08 -2.9009060013004416e+08 -2.9012495110897750e+08 -2.8942442360509205e+08 -2.8768707048329300e+08 -2.8456000133308166e+08 -2.7966023758808887e+08 -2.7262460438738710e+08 -2.6314228157502517e+08 -2.5102345488435256e+08 -2.3632137529488769e+08 -2.1930919299839780e+08 -2.0049415723320225e+08 -1.8054940900355348e+08 -1.6022006546524936e+08 -1.4022328276853746e+08 -1.2114117671006055e+08 -1.0341612125466916e+08 -8.7300461447233766e+07 -7.2927493412049487e+07 -6.0288652994681336e+07 -4.9330603447016895e+07 -3.9952804928465448e+07 -3.2016145247734010e+07 -2.5407697116604671e+07 -2.0000568815900881e+07 -1.5663937705715161e+07 -1.2299787768632839e+07 -9.7677021866194345e+06 -7.9536288074668273e+06 -6.7240701122497413e+06 -5.9446123673707666e+06 -5.5043456966445111e+06 -5.2737755705007147e+06 -5.1586156645941222e+06 -5.1099206470510876e+06 -5.0948621863646470e+06 -5.0859909520479757e+06 -5.0796683932727668e+06 -5.0740717808574904e+06 -5.0686090983534101e+06 -5.0670886258969856e+06 -5.0486577425703295e+06 -5.0420282963477774e+06 -5.0348555740396604e+06 -5.0269877258669147e+06 -5.0183057290211152e+06 -5.0086657997706039e+06 -4.9979052298150072e+06 -4.9899571861529630e+06 -4.9641739678353807e+06 -4.9488955059947809e+06 -4.9316330402630810e+06 -4.9121195341691142e+06 -4.8900688053629249e+06 -4.8651843385575302e+06 -4.8371700130408835e+06 -4.8097122225626400e+06 -4.7629642305535292e+06 -4.7241059379092334e+06 -4.6813430389450109e+06 -4.6347770718661454e+06 -4.5847773809782444e+06 -4.5319766296363948e+06 -4.4775827431555213e+06 -4.4270839380841926e+06 -4.3651576784718418e+06 -4.3210490171010084e+06 -4.2895791043338180e+06 -4.2824068403275078e+06 -4.3041497444325481e+06 -4.3735924005321264e+06 -4.5184630459784931e+06 -4.7851983104362972e+06 -5.2176003328846386e+06 3.5781214238178807e+08 +2.1966322107369156e+00 -2.7748046114884830e+08 -2.7742457585792041e+08 -2.7733380326956087e+08 -2.7721812403823781e+08 -2.7710737993072128e+08 -2.7704727516637546e+08 -2.7705772832971215e+08 -2.7710441855220020e+08 -2.7715301540514499e+08 -2.7719710330466163e+08 -2.7724129291314548e+08 -2.7728655799088699e+08 -2.7733251273932552e+08 -2.7737940463308233e+08 -2.7742790849490625e+08 -2.7747855250072527e+08 -2.7753204962572819e+08 -2.7758948531909263e+08 -2.7765217440351272e+08 -2.7772158339726150e+08 -2.7779937394278288e+08 -2.7788730615613806e+08 -2.7798654116380399e+08 -2.7809869613753617e+08 -2.7823273491466415e+08 -2.7839540776397753e+08 -2.7858633987928200e+08 -2.7880752872040951e+08 -2.7906324890750498e+08 -2.7935852693777734e+08 -2.7969883287030411e+08 -2.8008995577122545e+08 -2.8053784211386102e+08 -2.8104834097536606e+08 -2.8162682997042817e+08 -2.8227761536132187e+08 -2.8300311791187418e+08 -2.8380270033560860e+08 -2.8467110502048194e+08 -2.8559628290148795e+08 -2.8662871328825700e+08 -2.8765761278718841e+08 -2.8861507977421439e+08 -2.8940153088660091e+08 -2.8987704978489131e+08 -2.8985271996725166e+08 -2.8908377957533950e+08 -2.8726760791175127e+08 -2.8405116215515095e+08 -2.7905213288965660e+08 -2.7190914249092495e+08 -2.6231441854648337e+08 -2.5008238599638459e+08 -2.3527146227526775e+08 -2.1816006559878531e+08 -1.9925989690045139e+08 -1.7924701885051560e+08 -1.5886750716791514e+08 -1.3883763912970617e+08 -1.1973722592210582e+08 -1.0200567458911535e+08 -8.5892170880338326e+07 -7.1527214172899112e+07 -5.8899852711565159e+07 -4.7954995508667290e+07 -3.8590835585953668e+07 -3.0667364315232113e+07 -2.4071135071289815e+07 -1.8674986002749369e+07 -1.4347923169926109e+07 -1.0991949923344586e+07 -8.4666757006216608e+06 -6.6581700354274539e+06 -5.4330617159636132e+06 -4.6571661154695218e+06 -4.2198122943427460e+06 -3.9916822097445596e+06 -3.8786651480425107e+06 -3.8319970556685720e+06 -3.8183742568442365e+06 -3.8109532567569870e+06 -3.8061107146949167e+06 -3.8020643840253348e+06 -3.7982010132385930e+06 -3.7983749478120408e+06 -3.7816759567153365e+06 -3.7769712689397526e+06 -3.7718584496729905e+06 -3.7662235549540003e+06 -3.7599771614436186e+06 -3.7530114541436052e+06 -3.7452042444614102e+06 -3.7405470291945403e+06 -3.7183843995790277e+06 -3.7071945472354349e+06 -3.6945161355663571e+06 -3.6801486448482936e+06 -3.6638774760719361e+06 -3.6454799349436532e+06 -3.6247339470480722e+06 -3.6054079077593745e+06 -3.5676429914971497e+06 -3.5387777734166970e+06 -3.5069829858673480e+06 -3.4723347980739642e+06 -3.4351090791211240e+06 -3.3957794460826847e+06 -3.3552510926994896e+06 -3.3185618493540133e+06 -3.2696503596356101e+06 -3.2368354494484095e+06 -3.2134847252618829e+06 -3.2092332653093096e+06 -3.2257568788700844e+06 -3.2775598434580714e+06 -3.3858840179109382e+06 -3.5868981641408559e+06 -3.9071003926187111e+06 3.5824232645773518e+08 +2.2016005335111739e+00 -2.7756934186385310e+08 -2.7751354049129212e+08 -2.7742290507365215e+08 -2.7730739317844367e+08 -2.7719679869383311e+08 -2.7713675301810682e+08 -2.7714714109641010e+08 -2.7719369789903057e+08 -2.7724214449633139e+08 -2.7728607184776765e+08 -2.7733008026082218e+08 -2.7737513820101309e+08 -2.7742085657940477e+08 -2.7746747756073129e+08 -2.7751566892020035e+08 -2.7756595153315997e+08 -2.7761902903299659e+08 -2.7767597531699860e+08 -2.7773809156947196e+08 -2.7780682821991384e+08 -2.7788382806437111e+08 -2.7797082914958298e+08 -2.7806896517827505e+08 -2.7817980734049416e+08 -2.7831224973777431e+08 -2.7847299824384749e+08 -2.7866164714495671e+08 -2.7888013992678869e+08 -2.7913267850739789e+08 -2.7942420221474993e+08 -2.7976007811684662e+08 -2.8014597368019629e+08 -2.8058769173406678e+08 -2.8109091159676015e+08 -2.8166081018918228e+08 -2.8230145654458731e+08 -2.8301499117558575e+08 -2.8380044620286363e+08 -2.8465217504697442e+08 -2.8555767294007343e+08 -2.8656500180401027e+08 -2.8756395574837017e+08 -2.8848576073824322e+08 -2.8922986031767255e+08 -2.8965529515477377e+08 -2.8957210024637240e+08 -2.8873457268408006e+08 -2.8683943380684996e+08 -2.8353350866160882e+08 -2.7843518111783779e+08 -2.7118489620212299e+08 -2.6147795181990859e+08 -2.4913302617289481e+08 -2.3421370280866444e+08 -2.1700365092675537e+08 -1.9801899044776559e+08 -1.7793866366113284e+08 -1.5750966180104986e+08 -1.3744734709393695e+08 -1.1832920162151822e+08 -1.0059165325527243e+08 -8.4480726603265002e+07 -7.0124129185790136e+07 -5.7508530320737451e+07 -4.6577094427514538e+07 -3.7226756675855212e+07 -2.9316620280698918e+07 -2.2732725999905333e+07 -1.7347647448544014e+07 -1.3030223889914881e+07 -9.6824815152217783e+06 -7.1640591511991210e+06 -5.3611504994672425e+06 -4.1405129522585543e+06 -3.3681931617605225e+06 -2.9337609360498148e+06 -2.7080764961518240e+06 -2.5972060932714287e+06 -2.5525678070674557e+06 -2.5403824799572253e+06 -2.5344134643108388e+06 -2.5310526914480254e+06 -2.5285584654110665e+06 -2.5262962829214344e+06 -2.5281665750281243e+06 -2.5132016172807389e+06 -2.5104239463698380e+06 -2.5073734478151887e+06 -2.5039741281424873e+06 -2.5001661983541180e+06 -2.4958778545671967e+06 -2.4910274756500330e+06 -2.4896649204805354e+06 -2.4711272441956108e+06 -2.4640308091984908e+06 -2.4559418431916879e+06 -2.4467264215820152e+06 -2.4362416130279237e+06 -2.4243386312176045e+06 -2.4108695352676609e+06 -2.3996847836880442e+06 -2.3709136215740386e+06 -2.3520532421049024e+06 -2.3312394788081232e+06 -2.3085231020299187e+06 -2.2840863955406738e+06 -2.2582437427651668e+06 -2.2315972492281022e+06 -2.2087337963021519e+06 -2.1728524964277185e+06 -2.1513446341192122e+06 -2.1361226555426279e+06 -2.1347954014676576e+06 -2.1460935678216103e+06 -2.1802360682888725e+06 -2.2519707260812339e+06 -2.3871862911139415e+06 -2.5950566860759985e+06 3.5866876911021167e+08 +2.2065688562854322e+00 -2.7765160578100252e+08 -2.7759588724909061e+08 -2.7750539011737174e+08 -2.7739004876132298e+08 -2.7727960533018965e+08 -2.7721961792864215e+08 -2.7722994088413882e+08 -2.7727636333374083e+08 -2.7732465873892397e+08 -2.7736842453326905e+08 -2.7741225056518179e+08 -2.7745710000409013e+08 -2.7750258043583345e+08 -2.7754892866144562e+08 -2.7759680537506878e+08 -2.7764672409532547e+08 -2.7769937904002166e+08 -2.7775583249077648e+08 -2.7781737188145041e+08 -2.7788543144707078e+08 -2.7796163501035881e+08 -2.7804769839536548e+08 -2.7814472768851304e+08 -2.7825424777374369e+08 -2.7838508255616105e+08 -2.7854389324255621e+08 -2.7873024301608026e+08 -2.7894602104959065e+08 -2.7919535611225957e+08 -2.7948309984217584e+08 -2.7981451572308767e+08 -2.8019514894974577e+08 -2.8063065795262164e+08 -2.8112655145201832e+08 -2.8168780475470155e+08 -2.8231824867015582e+08 -2.8301974241426897e+08 -2.8379098645144421e+08 -2.8462594420955157e+08 -2.8551165432235014e+08 -2.8649375113657892e+08 -2.8746261357605487e+08 -2.8834859596130651e+08 -2.8905017099815249e+08 -2.8942534077154875e+08 -2.8928309913703090e+08 -2.8837681329064202e+08 -2.8640256224405909e+08 -2.8300705918511975e+08 -2.7780940533254302e+08 -2.7045189361760277e+08 -2.6063291457826713e+08 -2.4817541339217126e+08 -2.3314813900430635e+08 -2.1583999423687068e+08 -1.9677148509720647e+08 -1.7662439142741370e+08 -1.5614657707540509e+08 -1.3605245329715040e+08 -1.1691714886851662e+08 -9.9174100501746505e+07 -8.3066170021153688e+07 -6.8718278112897575e+07 -5.6114723915533207e+07 -4.5196936930713102e+07 -3.5860603763200462e+07 -2.7963947738466453e+07 -2.1392503697824445e+07 -1.6018586298910666e+07 -1.1710872490645949e+07 -8.3714147580983732e+06 -5.8598844336487558e+06 -4.0626018533411301e+06 -2.8464552963968804e+06 -2.0777248512266786e+06 -1.6462228713318827e+06 -1.4229896073690569e+06 -1.3142696199744404e+06 -1.2716639694168400e+06 -1.2609178884118865e+06 -1.2564025719589265e+06 -1.2545252847486185e+06 -1.2535849485416785e+06 -1.2529257920730351e+06 -1.2564943511528948e+06 -1.2432655254672540e+06 -1.2424170830747080e+06 -1.2414312728549265e+06 -1.2402700955584885e+06 -1.2389034306969524e+06 -1.2372955270044606e+06 -1.2354053775639350e+06 -1.2373412343348279e+06 -1.2224327876928742e+06 -1.2194344785178883e+06 -1.2159402383596920e+06 -1.2118828145093592e+06 -1.2071910258928614e+06 -1.2017900793659904e+06 -1.1956062530133426e+06 -1.1925721281015784e+06 -1.1728051798645614e+06 -1.1639611601453307e+06 -1.1541410673206169e+06 -1.1433702435782484e+06 -1.1317372795579329e+06 -1.1193971415341687e+06 -1.1066484975377859e+06 -1.0976267281167561e+06 -1.0747907213782249e+06 -1.0646029291122661e+06 -1.0575190558075760e+06 -1.0591193385494787e+06 -1.0651860279424421e+06 -1.0816477204927602e+06 -1.1167507043999739e+06 -1.1860918230915023e+06 -1.2815010722109606e+06 3.5909147287859815e+08 +2.2115371790596905e+00 -2.7772724838853943e+08 -2.7767161468816000e+08 -2.7758125686143327e+08 -2.7746608326773000e+08 -2.7735579233728772e+08 -2.7729586229842299e+08 -2.7730612013071036e+08 -2.7735240731777394e+08 -2.7740055061016572e+08 -2.7744415382240880e+08 -2.7748779628419518e+08 -2.7753243587104732e+08 -2.7757767678401786e+08 -2.7762375041487926e+08 -2.7767131035024345e+08 -2.7772086268883222e+08 -2.7777309216071171e+08 -2.7782904936803532e+08 -2.7789000788491887e+08 -2.7795738564501256e+08 -2.7803278737311494e+08 -2.7811790651614809e+08 -2.7821382135293955e+08 -2.7832201013967371e+08 -2.7845122612542230e+08 -2.7860808557977998e+08 -2.7879212038961643e+08 -2.7900516507663339e+08 -2.7925127481764686e+08 -2.7953521304463363e+08 -2.7986213906615216e+08 -2.8023747513867372e+08 -2.8066673454488325e+08 -2.8115525457518202e+08 -2.8170780800871158e+08 -2.8232798644912457e+08 -2.8301736678088605e+08 -2.8377431676426721e+08 -2.8459240882913637e+08 -2.8545822413626266e+08 -2.8641495937514383e+08 -2.8735358558250278e+08 -2.8820358624973869e+08 -2.8886246555619687e+08 -2.8918719147426283e+08 -2.8898572414123124e+08 -2.8801051206921357e+08 -2.8595700761198163e+08 -2.8247183236599219e+08 -2.7717482888908654e+08 -2.6971016310832340e+08 -2.5977934024922931e+08 -2.4720958583748332e+08 -2.3207481313197359e+08 -2.1466914089672256e+08 -1.9551742813682538e+08 -1.7530425016631562e+08 -1.5477830069366595e+08 -1.3465300434220165e+08 -1.1550111267319097e+08 -9.7753059516431779e+07 -8.1648542472640529e+07 -6.7309700547383010e+07 -5.4718471519662015e+07 -4.3814559676035389e+07 -3.4492412344691381e+07 -2.6609381215664700e+07 -2.0050501894170117e+07 -1.4687835634159485e+07 -1.0389901532538718e+07 -7.0587818019234268e+06 -4.5541833798414227e+06 -2.7625556877797055e+06 -1.5509201609272419e+06 -7.8579246635707293e+05 -3.5722928743560746e+05 -1.3645265884771041e+05 -2.9886785764736738e+04 1.0683451087794710e+04 1.9988546988256774e+04 2.3048484891407337e+04 2.3440605962494639e+04 2.2825304754441258e+04 2.1879636261004871e+04 1.6610941740128572e+04 2.8101578971520776e+04 2.7018627863710168e+04 2.5937432078216127e+04 2.4857953815649165e+04 2.3780611611506480e+04 2.2705063487208336e+04 2.1631656363993094e+04 1.6393715523560542e+04 2.7668744349452696e+04 2.6564318396479041e+04 2.5458663715789113e+04 2.4352285980303266e+04 2.3244535142628916e+04 2.2136127783454525e+04 2.1026483209275662e+04 1.5900839657546518e+04 2.6653332525180344e+04 2.5469713786042761e+04 2.4283756007185675e+04 2.3095573815599339e+04 2.1910375264361261e+04 2.0732790860114728e+04 1.9567932011453118e+04 1.4732459769886758e+04 2.4508386111626474e+04 2.3363360160447035e+04 2.2299965496562767e+04 1.7768885749922003e+04 1.6939576414199404e+04 1.8178607623917796e+04 1.9748568156123085e+04 1.6356166297630687e+04 3.3534653576889825e+04 3.5951044038730085e+08 +2.2165055018339488e+00 -2.7779626135589379e+08 -2.7774071178516966e+08 -2.7765049065143114e+08 -2.7753549049634182e+08 -2.7742535203834862e+08 -2.7736547932436913e+08 -2.7737567147292256e+08 -2.7742182256001973e+08 -2.7746981282015949e+08 -2.7751325241603154e+08 -2.7755671011803925e+08 -2.7760113851455295e+08 -2.7764613833865589e+08 -2.7769193554109830e+08 -2.7773917657633376e+08 -2.7778836005416757e+08 -2.7784016114880562e+08 -2.7789561871707815e+08 -2.7795599236648482e+08 -2.7802268362194234e+08 -2.7809727798628539e+08 -2.7818144637590331e+08 -2.7827623907238430e+08 -2.7838308738279063e+08 -2.7851067344425827e+08 -2.7866556831946486e+08 -2.7884727240652066e+08 -2.7905756524064177e+08 -2.7930042796585369e+08 -2.7958053529367930e+08 -2.7990294177170181e+08 -2.8027294605633533e+08 -2.8069591553874391e+08 -2.8117701525443137e+08 -2.8172081455101699e+08 -2.8233066485226369e+08 -2.8300785969194061e+08 -2.8375043309210873e+08 -2.8455156549812150e+08 -2.8539737974672794e+08 -2.8632862489033771e+08 -2.8723687136747980e+08 -2.8805073270485103e+08 -2.8866674692099500e+08 -2.8894085240878052e+08 -2.8867998307368869e+08 -2.8763568000801909e+08 -2.8550278461271226e+08 -2.8192784715058219e+08 -2.7653147543545175e+08 -2.6895973331662530e+08 -2.5891726250062075e+08 -2.4623558189472958e+08 -2.3099376761939383e+08 -2.1349113638419563e+08 -1.9425686691960838e+08 -1.7397828791820681e+08 -1.5340488034887972e+08 -1.3324904679754752e+08 -1.1408113799398106e+08 -9.6328573425489381e+07 -8.0227885228822738e+07 -6.5898436012462646e+07 -5.3319811086156577e+07 -4.2429999251294665e+07 -3.3122217847846460e+07 -2.5252955171398055e+07 -1.8706754251131192e+07 -1.3355428468584064e+07 -9.0673435107860658e+06 -5.7446147320569865e+06 -3.2469877576156086e+06 -1.4610435298549156e+06 -2.5393889503010552e+05 5.0757277349936683e+05 9.3318869136166829e+05 1.1515032967920878e+06 1.2559114144669492e+06 1.2944435108766770e+06 1.3023059179947621e+06 1.3039088333108933e+06 1.3028141436447324e+06 1.3006414949737075e+06 1.2980892412816971e+06 1.2911185837420023e+06 1.3008690183660272e+06 1.2978525553527884e+06 1.2947020857414170e+06 1.2913794927763853e+06 1.2878554603161202e+06 1.2840935133755251e+06 1.2800532940871848e+06 1.2715096765918953e+06 1.2791471873928339e+06 1.2739355159793070e+06 1.2682249084350171e+06 1.2619490498648281e+06 1.2550353799729585e+06 1.2474104571692441e+06 1.2389993163025279e+06 1.2257049592583340e+06 1.2274329730604102e+06 1.2162106790942857e+06 1.2040065561270234e+06 1.1908462036485309e+06 1.1768287316980727e+06 1.1621185433463491e+06 1.1470248640517781e+06 1.1283169262462109e+06 1.1250183003243722e+06 1.1125279814163283e+06 1.1033083526547472e+06 1.0958432863199201e+06 1.1002571337379899e+06 1.1192163774616269e+06 1.1574996681051175e+06 1.2201286621418437e+06 1.3500187601063622e+06 3.5992567434513927e+08 +2.2214738246082071e+00 -2.7785863664912838e+08 -2.7780317328270465e+08 -2.7771309272063839e+08 -2.7759826362446678e+08 -2.7748827552794886e+08 -2.7742846224111706e+08 -2.7743858786204880e+08 -2.7748460202223969e+08 -2.7753243830462551e+08 -2.7757571325504524e+08 -2.7761898501034373e+08 -2.7766320088704425e+08 -2.7770795805495304e+08 -2.7775347700027800e+08 -2.7780039702467448e+08 -2.7784920917316788e+08 -2.7790057899850279e+08 -2.7795553354745066e+08 -2.7801531835324711e+08 -2.7808131842675388e+08 -2.7815509992499697e+08 -2.7823831108066648e+08 -2.7833197398924732e+08 -2.7843747269019800e+08 -2.7856341775395966e+08 -2.7871633476831323e+08 -2.7889569245197320e+08 -2.7910321501969260e+08 -2.7934280914473391e+08 -2.7961906030848938e+08 -2.7993691771478987e+08 -2.8030155576242155e+08 -2.8071819521423775e+08 -2.8119182803233832e+08 -2.8172681923722541e+08 -2.8232627911080241e+08 -2.8299121682705587e+08 -2.8371933165248603e+08 -2.8450341107945174e+08 -2.8532911879326862e+08 -2.8623474633385390e+08 -2.8711247081843543e+08 -2.8789003672021854e+08 -2.8846301832123953e+08 -2.8868632902624297e+08 -2.8836588405718219e+08 -2.8725232840650880e+08 -2.8503990825792187e+08 -2.8137512278985614e+08 -2.7587936891027755e+08 -2.6820063315392134e+08 -2.5804671523961070e+08 -2.4525344014976642e+08 -2.2990504504928163e+08 -2.1230602628472832e+08 -1.9298984885981643e+08 -1.7264655274483165e+08 -1.5202636372239637e+08 -1.3184062719538386e+08 -1.1265726973690727e+08 -9.4900685292013735e+07 -7.8804239492526636e+07 -6.4484523960534163e+07 -5.1918780496888928e+07 -4.1043292173477933e+07 -3.1750055630440608e+07 -2.3894703996016014e+07 -1.7361294363232177e+07 -1.2021397749795463e+07 -7.7432308546981532e+06 -4.4289455686362563e+06 -1.9383292700789559e+06 -1.5809684232926159e+05 1.0444572161168238e+06 1.8023397127730630e+06 2.2250000043890579e+06 2.4408472704019733e+06 2.5430940491866856e+06 2.5795853296307521e+06 2.5860033795392811e+06 2.5861476634808485e+06 2.5835645542986249e+06 2.5798328855737397e+06 2.5756723250729977e+06 2.5669979177426682e+06 2.5750061777584082e+06 2.5700541309167347e+06 2.5648321694074003e+06 2.5592640565244616e+06 2.5532907094433061e+06 2.5468394812807599e+06 2.5398292655628165e+06 2.5279764582071304e+06 2.5319724385645147e+06 2.5226491101265624e+06 2.5123286024345080e+06 2.5008777081011902e+06 2.4881518791867848e+06 2.4740034361002170e+06 2.4582829491814794e+06 2.4368111299795145e+06 2.4295048583724229e+06 2.4082330938544287e+06 2.3849989561198326e+06 2.3598535569548518e+06 2.3329900094193569e+06 2.3047326610892713e+06 2.2756951787702120e+06 2.2430998850692231e+06 2.2267125497663119e+06 2.2028647360356706e+06 2.1854801032149927e+06 2.1750779311679639e+06 2.1847405858968915e+06 2.2214391046724669e+06 2.2964752280240259e+06 2.4251967088452531e+06 2.6679195810633879e+06 3.6033717754473895e+08 +2.2264421473824654e+00 -2.7791437103837395e+08 -2.7785898826663715e+08 -2.7776904978857589e+08 -2.7765439411538452e+08 -2.7754455815534008e+08 -2.7748480395444429e+08 -2.7749486246934026e+08 -2.7754073890572822e+08 -2.7758842022826999e+08 -2.7763152952196038e+08 -2.7767461414772463e+08 -2.7771861618105543e+08 -2.7776312912717664e+08 -2.7780836799281180e+08 -2.7785496490569705e+08 -2.7790340326695925e+08 -2.7795433894453549e+08 -2.7800878710815001e+08 -2.7806797911256534e+08 -2.7813328334902340e+08 -2.7820624650467414e+08 -2.7828849397726870e+08 -2.7838101948765880e+08 -2.7848515949062145e+08 -2.7860945253868884e+08 -2.7876037847690612e+08 -2.7893737415472114e+08 -2.7914210813640916e+08 -2.7937841218846321e+08 -2.7965078205509335e+08 -2.7996406101805317e+08 -2.8032329856675249e+08 -2.8073356810337353e+08 -2.8119968770565766e+08 -2.8172581718032700e+08 -2.8231482471478713e+08 -2.8296743412778676e+08 -2.8368100892878681e+08 -2.8444794270734304e+08 -2.8525343919142407e+08 -2.8613332263818246e+08 -2.8698038410883617e+08 -2.8772149998342830e+08 -2.8825128328414494e+08 -2.8842362708232939e+08 -2.8804343552398765e+08 -2.8686046887526226e+08 -2.8456839386839020e+08 -2.8081367883533430e+08 -2.7521853354022598e+08 -2.6743289179790878e+08 -2.5716773260867721e+08 -2.4426319938496420e+08 -2.2880868815618443e+08 -2.1111385628893596e+08 -1.9171642143152666e+08 -1.7130909272724837e+08 -1.5064279848189291e+08 -1.3042779203019923e+08 -1.1122955275376451e+08 -9.3469438115199089e+07 -7.7377646397127315e+07 -6.3068003772238292e+07 -5.0515417561546877e+07 -3.9654474887994558e+07 -3.0375960979706928e+07 -2.2534662010538533e+07 -1.6014155756717339e+07 -1.0685776358063756e+07 -6.4175959270503260e+06 -3.1118062659214754e+06 -6.2823955499149836e+05 1.1462529769861519e+06 2.3442369519814840e+06 3.0984772603106131e+06 3.5181736552155418e+06 3.7315483369342410e+06 3.8316302508515264e+06 3.8660780909204166e+06 3.8710501503662327e+06 3.8697342293219385e+06 3.8656611275899522e+06 3.8603688036019052e+06 3.8545982532238066e+06 3.8442183500553439e+06 3.8504825055288537e+06 3.8435928493230231e+06 3.8362972274828390e+06 3.8284812432888015e+06 3.8200560159246330e+06 3.8109126885937341e+06 3.8009293633707087e+06 3.7857639321726654e+06 3.7861144572668779e+06 3.7726751588069899e+06 3.7577399141984712e+06 3.7411085532350424e+06 3.7225644646648350e+06 3.7018856528616170e+06 3.6788481453739209e+06 3.6491903113028584e+06 3.6328401648466755e+06 3.6015083753994075e+06 3.5672326377731818e+06 3.5300896028805007e+06 3.4903664855779754e+06 3.4485477460549357e+06 3.4055518124560057e+06 3.3590546054087398e+06 3.3295647177079343e+06 3.2943474796022270e+06 3.2687892685215417e+06 3.2554469419516185e+06 3.2703639286653977e+06 3.3248203596948325e+06 3.4366479371096445e+06 3.6315314107100456e+06 3.9872055156429182e+06 3.6074495286192358e+08 +2.2314104701567237e+00 -2.7796345202358431e+08 -2.7790815549001312e+08 -2.7781835851607442e+08 -2.7770387511603773e+08 -2.7759419409675294e+08 -2.7753449760246348e+08 -2.7754448858336765e+08 -2.7759022662976480e+08 -2.7763775199599612e+08 -2.7768069463906378e+08 -2.7772359095808637e+08 -2.7776737782733667e+08 -2.7781164498950070e+08 -2.7785660195888656e+08 -2.7790287366991329e+08 -2.7795093579591906e+08 -2.7800143446085370e+08 -2.7805537288835067e+08 -2.7811396815208447e+08 -2.7817857191849852e+08 -2.7825071128216708e+08 -2.7833198865363556e+08 -2.7842336919286704e+08 -2.7852614145500237e+08 -2.7864877152443236e+08 -2.7879769323793954e+08 -2.7897231138797414e+08 -2.7917423855825269e+08 -2.7940723117648441e+08 -2.7967569474594504e+08 -2.7998436605255717e+08 -2.8033816902828902e+08 -2.8074202898909312e+08 -2.8120058932464546e+08 -2.8171780374868500e+08 -2.8229629741310924e+08 -2.8293650779860264e+08 -2.8363546167040062e+08 -2.8438515778495830e+08 -2.8517033913039744e+08 -2.8602435301559097e+08 -2.8684061169782466e+08 -2.8754512447261965e+08 -2.8803154563468820e+08 -2.8815275263490039e+08 -2.8771264621305662e+08 -2.8646011333253610e+08 -2.8408825707198703e+08 -2.8024353513952583e+08 -2.7454899383796185e+08 -2.6665653868973398e+08 -2.5628034898349872e+08 -2.4326489857725018e+08 -2.2770473982447165e+08 -2.0991467218965721e+08 -1.9043663216595051e+08 -1.6996595596352696e+08 -1.4925423228051469e+08 -1.2901058775770049e+08 -1.0979803184132156e+08 -9.2034874829085767e+07 -7.5948147005616784e+07 -6.1648914755886771e+07 -4.9109760016937047e+07 -3.8263583768023461e+07 -2.8999969111571603e+07 -2.1172863465826955e+07 -1.4665371888818724e+07 -9.3485971056447253e+06 -5.0904710234316811e+06 -1.7932287116521215e+06 6.8324981588042737e+05 2.4519745958665675e+06 3.6453691573086134e+06 4.3959543900015894e+06 4.8126787122745719e+06 5.0235756360733230e+06 5.1214892165349284e+06 5.1538910428256299e+06 5.1574155136590023e+06 5.1546378491198244e+06 5.1490732174698729e+06 5.1422186403158214e+06 5.1348364554600185e+06 5.1227493510368550e+06 5.1272675140124410e+06 5.1184382691933559e+06 5.1090668681384465e+06 5.0990007149414448e+06 5.0881211002174495e+06 5.0762829200902646e+06 5.0633234433298027e+06 5.0448420333550936e+06 5.0415432657955475e+06 5.0239837826724350e+06 5.0044290746571803e+06 4.9826119400019618e+06 4.9582436301982673e+06 4.9310277573101884e+06 4.9006657296058796e+06 4.8628135235040076e+06 4.8374101292096665e+06 4.7960080008949451e+06 4.7506793421608107e+06 4.7015263692498142e+06 4.6489304953599861e+06 4.5935364575636424e+06 4.5365677580593387e+06 4.4761544124006964e+06 4.4335484427253706e+06 4.3869501224312149e+06 4.3532099542405764e+06 4.3369244945018841e+06 4.3571012122575920e+06 4.4293337682999494e+06 4.5779905417339951e+06 4.8391039325329838e+06 5.3078450292060310e+06 3.6114900325511110e+08 +2.2363787929309820e+00 -2.7800587653391093e+08 -2.7795066600847691e+08 -2.7786101010431296e+08 -2.7774670138151252e+08 -2.7763717461123902e+08 -2.7757753678343576e+08 -2.7758745974534011e+08 -2.7763305882188141e+08 -2.7768042726306486e+08 -2.7772320226899779e+08 -2.7776590911032277e+08 -2.7780947949532843e+08 -2.7785349931473750e+08 -2.7789817257840115e+08 -2.7794411700695139e+08 -2.7799180046004689e+08 -2.7804185926121831e+08 -2.7809528461688781e+08 -2.7815327921921754e+08 -2.7821717790534413e+08 -2.7828848805396748e+08 -2.7836878893806970e+08 -2.7845901697126359e+08 -2.7856041249537784e+08 -2.7868136867941350e+08 -2.7882827308731169e+08 -2.7900049826723707e+08 -2.7919960049622285e+08 -2.7942926043283731e+08 -2.7969379284001094e+08 -2.7999782743662024e+08 -2.8034616195550644e+08 -2.8074357290547878e+08 -2.8119452819237971e+08 -2.8170277456635982e+08 -2.8227069321323901e+08 -2.8289843430486798e+08 -2.8358268689173836e+08 -2.8431505398536855e+08 -2.8507981707366413e+08 -2.8590783695715868e+08 -2.8669315432937694e+08 -2.8736091245663220e+08 -2.8780380949352038e+08 -2.8787371204369217e+08 -2.8737352516818768e+08 -2.8605127400423157e+08 -2.8359951380026126e+08 -2.7966471185172725e+08 -2.7387077459941638e+08 -2.6587160353216454e+08 -2.5538459896956000e+08 -2.4225857689456522e+08 -2.2659324308522969e+08 -2.0870851987949520e+08 -1.8915052864880905e+08 -1.6861719056672177e+08 -1.4786071275366482e+08 -1.2758906079279983e+08 -1.0836275173971051e+08 -9.0597038301647425e+07 -7.4515782309741184e+07 -6.0227296146272153e+07 -4.7701845526203699e+07 -3.6870655113631435e+07 -2.7622115170101091e+07 -1.9809342542058717e+07 -1.3314976147140823e+07 -8.0098927361376463e+06 -3.7618883715909850e+06 -4.7324472640174907e+05 1.9961073374021284e+06 3.7590367482989929e+06 4.9478227427506270e+06 5.6947401414116696e+06 6.1084843095017904e+06 6.3168983728565536e+06 6.4126402085476844e+06 6.4429934985514274e+06 6.4450688176620929e+06 6.4408279061471820e+06 6.4337702428078623e+06 6.4253518518027319e+06 6.4163564262534864e+06 6.4025604557034457e+06 6.4053307801255658e+06 6.3945600136357108e+06 6.3831107639098447e+06 6.3707921976080853e+06 6.3574557469000872e+06 6.3429200245437780e+06 6.3269814251036374e+06 6.3051807602987615e+06 6.2982289499338120e+06 6.2765451656535612e+06 6.2523663777913721e+06 6.2253582859238498e+06 6.1951599320636904e+06 6.1614004614598667e+06 6.1237065884030228e+06 6.0776518482332611e+06 6.0431860491141435e+06 5.9917035079204421e+06 5.9353108702006396e+06 5.8741359431391265e+06 5.8086544325492885e+06 5.7396715128455386e+06 5.6687160657267971e+06 5.5943726876675421e+06 5.5386374192320378e+06 5.4806466300969953e+06 5.4387163208738649e+06 5.4194848193473937e+06 5.4449265418484071e+06 5.5349530121203093e+06 5.7204758459819527e+06 6.0478855001879809e+06 6.6298066538919294e+06 3.6154933176470870e+08 +2.2413471157052403e+00 -2.7804164007409447e+08 -2.7798651586670798e+08 -2.7789699974359411e+08 -2.7778286701175916e+08 -2.7767349467074788e+08 -2.7761391556487912e+08 -2.7762376989665842e+08 -2.7766922933641189e+08 -2.7771643993528193e+08 -2.7775904631354475e+08 -2.7780156251190209e+08 -2.7784491509145290e+08 -2.7788868601552278e+08 -2.7793307377024752e+08 -2.7797868884537470e+08 -2.7802599119761324e+08 -2.7807560729861993e+08 -2.7812851626154703e+08 -2.7818590630096459e+08 -2.7824909531900746e+08 -2.7831957085676020e+08 -2.7839888889965820e+08 -2.7848795692972440e+08 -2.7858796676473945e+08 -2.7870723821326584e+08 -2.7885211230239159e+08 -2.7902192915130717e+08 -2.7921818840510041e+08 -2.7944449452699560e+08 -2.7970507104199862e+08 -2.8000444003630370e+08 -2.8034727240523261e+08 -2.8073819513764161e+08 -2.8118149986481231e+08 -2.8168072551282185e+08 -2.8223800838009220e+08 -2.8285321037330389e+08 -2.8352268187166137e+08 -2.8423762924956161e+08 -2.8498187175744760e+08 -2.8578377423259568e+08 -2.8653801303102815e+08 -2.8716886649410588e+08 -2.8756807927777147e+08 -2.8758651196869349e+08 -2.8702608173784465e+08 -2.8563396342113078e+08 -2.8310218028870779e+08 -2.7907722941638726e+08 -2.7318390090170467e+08 -2.6507811628618288e+08 -2.5448051740038607e+08 -2.4124427369361499e+08 -2.2547424111302745e+08 -2.0749544534851333e+08 -1.8785815851845023e+08 -1.6726284466302544e+08 -1.4646228751847237e+08 -1.2616325750831056e+08 -1.0692375713129199e+08 -8.9155971333542317e+07 -7.3080593229104117e+07 -5.8803187103905246e+07 -4.6291711678010412e+07 -3.5475725151250005e+07 -2.6242434226637717e+07 -1.8444133347877406e+07 -1.1963001848971508e+07 -6.6696959238094902e+06 -2.4318801308014626e+06 8.4811393705172441e+05 3.3103015716991443e+06 5.0674082351251217e+06 6.2515666854863279e+06 6.9948036203975212e+06 7.4055596469451236e+06 7.6114858182914890e+06 7.7050525550520187e+06 7.7333548370754700e+06 7.7339794762908844e+06 7.7282738492689300e+06 7.7197216879866244e+06 7.7097379595959326e+06 7.6991277254287135e+06 7.6836212643549908e+06 7.6846419459648766e+06 7.6719277708360003e+06 7.6583986523156194e+06 7.6438254822852258e+06 7.6280298053095862e+06 7.6107939153331714e+06 7.5918732928021057e+06 7.5667501758289794e+06 7.5561416595621537e+06 7.5303295555797210e+06 7.5015221812352668e+06 7.4693180719124954e+06 7.4332839896224430e+06 7.3929745400909958e+06 7.3479416706668865e+06 7.2936764291121969e+06 7.2501392837054245e+06 7.1885664950361000e+06 7.1210990832396336e+06 7.0478904714217791e+06 6.9695107500675861e+06 6.8869256875825897e+06 6.8019698433572454e+06 6.7136828698673332e+06 6.6448053979907734e+06 6.5754110239459565e+06 6.5252825843109228e+06 6.5031022022310263e+06 6.5338140780987041e+06 6.6416518291746480e+06 6.8640767122297417e+06 7.2578474011815479e+06 7.9530589892743928e+06 3.6194594151251245e+08 +2.2463154384794985e+00 -2.7807073279461372e+08 -2.7801569606026822e+08 -2.7792632145195025e+08 -2.7781236487948048e+08 -2.7770314866470742e+08 -2.7764362811968970e+08 -2.7765341332604951e+08 -2.7769873228366965e+08 -2.7774578416188061e+08 -2.7778822091128910e+08 -2.7783054530748868e+08 -2.7787367875925082e+08 -2.7791719924261028e+08 -2.7796129969241780e+08 -2.7800658335240304e+08 -2.7805350218641484e+08 -2.7810267276477271e+08 -2.7815506202978170e+08 -2.7821184362337285e+08 -2.7827431840909195e+08 -2.7834395396721166e+08 -2.7842228284687102e+08 -2.7851018341518140e+08 -2.7860879865729910e+08 -2.7872637457698053e+08 -2.7886920540287000e+08 -2.7903659864164406e+08 -2.7922999698381150e+08 -2.7945292827257067e+08 -2.7970952430178893e+08 -2.8000419896374506e+08 -2.8034149568327707e+08 -2.8072589122063023e+08 -2.8116150015016776e+08 -2.8165165272189754e+08 -2.8219823943650472e+08 -2.8280083299097055e+08 -2.8345544415357298e+08 -2.8415288178712386e+08 -2.8487650219028342e+08 -2.8565216488835651e+08 -2.8637518911375958e+08 -2.8696898943245542e+08 -2.8732435969735789e+08 -2.8729115936886251e+08 -2.8667032557314491e+08 -2.8520819441814482e+08 -2.8259627307377511e+08 -2.7848110857213902e+08 -2.7248839809985012e+08 -2.6427610716929626e+08 -2.5356813933397752e+08 -2.4022202851683053e+08 -2.2434777722430143e+08 -2.0627549468144578e+08 -1.8655956946303362e+08 -1.6590296638945198e+08 -1.4505900417159683e+08 -1.2473322423362963e+08 -1.0548109263937409e+08 -8.7711716657001331e+07 -7.1642620609993309e+07 -5.7376626714356795e+07 -4.4879395985759728e+07 -3.4078830032693028e+07 -2.4860961279207688e+07 -1.7077269919832647e+07 -1.0609482240593109e+07 -5.3280392729884461e+06 -1.1004783912100901e+06 2.1708155943640852e+06 4.6258011487861695e+06 6.3770579246450588e+06 7.5565700298490115e+06 8.2961139997361135e+06 8.7038739913737513e+06 8.9073073099882286e+06 8.9986956506907661e+06 9.0249445037085004e+06 9.0241169697468895e+06 9.0169451935786493e+06 9.0068971035295967e+06 8.9953465512806643e+06 8.9831199787919726e+06 8.9659014431597833e+06 8.9651707194213364e+06 8.9505112946702335e+06 8.9349003364615142e+06 8.9180704254376534e+06 8.8998131901022289e+06 8.8798745710355528e+06 8.8579690955971442e+06 8.8295204076686632e+06 8.8152516092620604e+06 8.7853072647497393e+06 8.7518669068680294e+06 8.7144618428506013e+06 8.6725864859220535e+06 8.6257208313046973e+06 8.5733419882586934e+06 8.5108584722827245e+06 8.4582412542036977e+06 8.3865686223675888e+06 8.3080159036096660e+06 8.2227621613460910e+06 8.1314719605500288e+06 8.0352718164680330e+06 7.9363022571128709e+06 7.8340584552292880e+06 7.7520261866689390e+06 7.6712173816578789e+06 7.6128830162928710e+06 7.5877509846209837e+06 7.6237380376706189e+06 7.7494040143980561e+06 8.0087660616436740e+06 8.4689609852753654e+06 9.2775707029821482e+06 3.6233883570110524e+08 +2.2512837612537568e+00 -2.7809315257393187e+08 -2.7803820139301622e+08 -2.7794897161319464e+08 -2.7783519038130486e+08 -2.7772612978910387e+08 -2.7766666876843959e+08 -2.7767638450266981e+08 -2.7772156204764736e+08 -2.7776845432388771e+08 -2.7781072043752784e+08 -2.7785285187781161e+08 -2.7789576487888527e+08 -2.7793903338552153e+08 -2.7798284474124771e+08 -2.7802779493361634e+08 -2.7807432784197497e+08 -2.7812305008968735e+08 -2.7817491636711973e+08 -2.7823108565162086e+08 -2.7829284166357440e+08 -2.7836163190101326e+08 -2.7843896532825607e+08 -2.7852569101541394e+08 -2.7862290280659401e+08 -2.7873877246236777e+08 -2.7887954714989924e+08 -2.7904450158155984e+08 -2.7923502117341101e+08 -2.7945455672663265e+08 -2.7970714781519222e+08 -2.7999709957812059e+08 -2.8032882734264374e+08 -2.8070665693850625e+08 -2.8113452510805118e+08 -2.8161555258113915e+08 -2.8215138316166264e+08 -2.8274129940464538e+08 -2.8338097154374886e+08 -2.8406081007460028e+08 -2.8476370765228236e+08 -2.8551300924855238e+08 -2.8620468417038250e+08 -2.8676128440673417e+08 -2.8707265575625348e+08 -2.8698766150118577e+08 -2.8630626662507063e+08 -2.8477398013137913e+08 -2.8208180899044979e+08 -2.7787637034757757e+08 -2.7178429182639033e+08 -2.6346560665161002e+08 -2.5264750005049801e+08 -2.3919188108970195e+08 -2.2321389487367973e+08 -2.0504871405497599e+08 -1.8525480921872851e+08 -1.6453760389206070e+08 -1.4365091028740707e+08 -1.2329900725310673e+08 -1.0403480282716392e+08 -8.6264316935133472e+07 -7.0201905224777609e+07 -5.5947653987243675e+07 -4.3464935886862263e+07 -3.2680005834665887e+07 -2.3477731251768123e+07 -1.5708786221681867e+07 -9.2544504967075381e+06 -3.9849553173746113e+06 2.3228482678034046e+05 3.4948286302454327e+06 5.9425747671846300e+06 7.6879547532489346e+06 8.8628018879396822e+06 9.5986405197138544e+06 1.0003396676919030e+07 1.0204332252745297e+07 1.0293538957183965e+07 1.0317732010750867e+07 1.0315450845137114e+07 1.0306811520958163e+07 1.0295266106706707e+07 1.0282147281096254e+07 1.0268302878725832e+07 1.0249370724784549e+07 1.0246886874775404e+07 1.0230280405327044e+07 1.0212585685637152e+07 1.0193496949607013e+07 1.0172775881905632e+07 1.0150132036026884e+07 1.0125238948299458e+07 1.0093461648982745e+07 1.0075529078889988e+07 1.0041448670533882e+07 1.0003371041385502e+07 9.9607602081810664e+06 9.9130381682552379e+06 9.8596102371358238e+06 9.7998786165861711e+06 9.7291692470204402e+06 9.6674634444637764e+06 9.5856816121480651e+06 9.4960333151762113e+06 9.3987232810770199e+06 9.2945106368829105e+06 9.1846827937270273e+06 9.0716865319966935e+06 8.9554729980728421e+06 8.8602736503330879e+06 8.7680398376929685e+06 8.7014919449843355e+06 8.6734055642182790e+06 8.7146726937279087e+06 8.8581834201649260e+06 9.1545168747550137e+06 9.6811976650000047e+06 1.0603310531301195e+07 3.6272801761326087e+08 +2.2562520840280151e+00 -2.7810889006981170e+08 -2.7805402856529486e+08 -2.7796494269288903e+08 -2.7785133820051080e+08 -2.7774243356650221e+08 -2.7768303255283558e+08 -2.7769267804586691e+08 -2.7773771327704018e+08 -2.7778444503036416e+08 -2.7782653950333852e+08 -2.7786847683853376e+08 -2.7791116806767476e+08 -2.7795418307064098e+08 -2.7799770355125755e+08 -2.7804231823222822e+08 -2.7808846281813747e+08 -2.7813673394165438e+08 -2.7818807395754510e+08 -2.7824362708935004e+08 -2.7830465980956662e+08 -2.7837259941275030e+08 -2.7844893113119036e+08 -2.7853447455713385e+08 -2.7863027408759791e+08 -2.7874442680135453e+08 -2.7888313254555732e+08 -2.7904563305656785e+08 -2.7923325615766817e+08 -2.7944937519054675e+08 -2.7969793702177471e+08 -2.7998313748444790e+08 -2.8030926318480951e+08 -2.8068048832570446e+08 -2.8110057105016702e+08 -2.8157242173259217e+08 -2.8209743659104848e+08 -2.8267460712088162e+08 -2.8329926211186641e+08 -2.8396141285524142e+08 -2.8464348769482207e+08 -2.8536630791264576e+08 -2.8602650007465613e+08 -2.8654575483861530e+08 -2.8681297275024146e+08 -2.8667602591906095e+08 -2.8593391514540923e+08 -2.8433133399792427e+08 -2.8155880517136341e+08 -2.7726303606093186e+08 -2.7107160798662865e+08 -2.6264664545467472e+08 -2.5171863504935098e+08 -2.3815387131788424e+08 -2.2207263765174344e+08 -2.0381514973550546e+08 -1.8394392556737149e+08 -1.6316680532409045e+08 -1.4223805341650018e+08 -1.2186065280453196e+08 -1.0258493219642650e+08 -8.4813814760430560e+07 -6.8758487770696744e+07 -5.4516307855465986e+07 -4.2048368742035612e+07 -3.1279288557867967e+07 -2.2092778993575722e+07 -1.4338716143725907e+07 -7.8979397197103882e+06 -2.6404765194351571e+06 1.5663775731508734e+06 4.8201214990900038e+06 7.2605911945437193e+06 9.0000677260227725e+06 1.0170231440227859e+07 1.0902352488768874e+07 1.1304097105630197e+07 1.1502530119148783e+07 1.1589552003924191e+07 1.1611686938077368e+07 1.1607950717049420e+07 1.1597842480750168e+07 1.1584798382109150e+07 1.1570109870559284e+07 1.1554646184784608e+07 1.1533998908970213e+07 1.1529760253319426e+07 1.1511204989874125e+07 1.1491424635913581e+07 1.1470075043974461e+07 1.1446887927853895e+07 1.1421536421101425e+07 1.1393653031948959e+07 1.1358544159018844e+07 1.1336944414175998e+07 1.1298724215962164e+07 1.1256005136918526e+07 1.1208183842500612e+07 1.1154609848762996e+07 1.1094613724103054e+07 1.1027522695152488e+07 1.0948580086258117e+07 1.0877777401566165e+07 1.0785877249280989e+07 1.0685123363910735e+07 1.0575746160237763e+07 1.0458599412724067e+07 1.0335131573670173e+07 1.0208095952327758e+07 1.0077900111314258e+07 9.9695217119894344e+06 9.8658525838499721e+06 9.7910837554135155e+06 9.7600403954919335e+06 9.8065923764577415e+06 9.9679639568115063e+06 1.0301302191991309e+07 1.0894528916266099e+07 1.1930247279837554e+07 3.6311349061134475e+08 +2.2612204068022734e+00 -2.7811794823305011e+08 -2.7806317078456080e+08 -2.7797423087913954e+08 -2.7786080261336666e+08 -2.7775205405728245e+08 -2.7769271410208875e+08 -2.7770228876664710e+08 -2.7774718085191709e+08 -2.7779375111992842e+08 -2.7783567295575929e+08 -2.7787741504031938e+08 -2.7791988317890316e+08 -2.7796264316295153e+08 -2.7800587099467939e+08 -2.7805014812844074e+08 -2.7809590200634521e+08 -2.7814371922698307e+08 -2.7819452972329319e+08 -2.7824946287849158e+08 -2.7830976781243438e+08 -2.7837685149616253e+08 -2.7845217528267783e+08 -2.7853652910605675e+08 -2.7863090761392409e+08 -2.7874333276687753e+08 -2.7887995683299166e+08 -2.7903998839318651e+08 -2.7922469736336374e+08 -2.7943737920857388e+08 -2.7968188760612768e+08 -2.7996230853298265e+08 -2.8028279925725287e+08 -2.8064738166484535e+08 -2.8105963453830075e+08 -2.8152225707085586e+08 -2.8203639701653475e+08 -2.8260075390517062e+08 -2.8321031418881410e+08 -2.8385468913845932e+08 -2.8451584213955259e+08 -2.8521206175529146e+08 -2.8584063898126316e+08 -2.8632240443498433e+08 -2.8654531626519322e+08 -2.8635626047041428e+08 -2.8555328168368232e+08 -2.8388026975285518e+08 -2.8102727904417247e+08 -2.7664112731683052e+08 -2.7035037275771606e+08 -2.6181925454790357e+08 -2.5078158004683751e+08 -2.3710803928475502e+08 -2.2092404928214386e+08 -2.0257484807658511e+08 -1.8262696633340615e+08 -1.6179061884344238e+08 -1.4082048108393699e+08 -1.2041820707804522e+08 -1.0113152518606508e+08 -8.3360252654190689e+07 -6.7312408869243369e+07 -5.3082627174377456e+07 -4.0629731834413357e+07 -2.9876714126394831e+07 -2.0706139278466277e+07 -1.2967093502147269e+07 -6.5399829390895776e+06 -1.2946352697617263e+06 2.9017679688872499e+06 6.1466627255851645e+06 8.5798192682515569e+06 1.0313365917359404e+07 1.1478827936161947e+07 1.2207219284070369e+07 1.2605944748133060e+07 1.2801870450218577e+07 1.2886704388602480e+07 1.2906778933721375e+07 1.2901586268175144e+07 1.2890007790272262e+07 1.2875463682287050e+07 1.2859204109027918e+07 1.2842119724283973e+07 1.2819755863159947e+07 1.2813760763908617e+07 1.2793255002861768e+07 1.2771387190758515e+07 1.2747774765011838e+07 1.2722119442231385e+07 1.2694057904003771e+07 1.2663181594436467e+07 1.2624738263683975e+07 1.2599468027315764e+07 1.2557104410314905e+07 1.2509739811581129e+07 1.2456703486100415e+07 1.2397272404999044e+07 1.2330702323803714e+07 1.2256245428141901e+07 1.2169062387183232e+07 1.2089154736325528e+07 1.1987127381925475e+07 1.1875258158415541e+07 1.1753803190464448e+07 1.1623710983082781e+07 1.1486591171217633e+07 1.1345503862325715e+07 1.1201313467032865e+07 1.1079744353072077e+07 1.0964629869786778e+07 1.0881632890047429e+07 1.0847629990144415e+07 1.0899471473595813e+07 1.1078719593129847e+07 1.1449095114173537e+07 1.2108926278902384e+07 1.3258349824098447e+07 3.6349525813672072e+08 +2.2661887295765317e+00 -2.7812031074754101e+08 -2.7806562395340925e+08 -2.7797682881468004e+08 -2.7786357755665946e+08 -2.7775498701124042e+08 -2.7769570759410024e+08 -2.7770521167552412e+08 -2.7774995985052305e+08 -2.7779636766629881e+08 -2.7783811587899405e+08 -2.7787966156869847e+08 -2.7792190530264091e+08 -2.7796440876241690e+08 -2.7800734218124521e+08 -2.7805127974059391e+08 -2.7809664053582454e+08 -2.7814400108903867e+08 -2.7819427882434493e+08 -2.7824858819866526e+08 -2.7830816087603217e+08 -2.7837438338266897e+08 -2.7844869304757887e+08 -2.7853184996773541e+08 -2.7862479873881948e+08 -2.7873548577098650e+08 -2.7887001549517262e+08 -2.7902756315956163e+08 -2.7920934045815086e+08 -2.7941856456777823e+08 -2.7965899549653524e+08 -2.7993460882006592e+08 -2.8024943185492748e+08 -2.8060733348700154e+08 -2.8101171238500172e+08 -2.8146505574322397e+08 -2.8196826198476803e+08 -2.8251973778044534e+08 -2.8311412636807722e+08 -2.8374063819900060e+08 -2.8438077107679087e+08 -2.8505027192537892e+08 -2.8564710332427013e+08 -2.8609123718825084e+08 -2.8626969217737001e+08 -2.8602837329779077e+08 -2.8516437708535635e+08 -2.8342080142825025e+08 -2.8048724833016944e+08 -2.7601066600472707e+08 -2.6962061258619308e+08 -2.6098346514683980e+08 -2.4983637097288153e+08 -2.3605442524820319e+08 -2.1976817361920154e+08 -2.0132785551628107e+08 -1.8130397938307250e+08 -1.6040909261079383e+08 -1.3939824078735673e+08 -1.1897171621431728e+08 -9.9674626171344891e+07 -8.1903673064879134e+07 -6.5863709065010265e+07 -5.1646650721043848e+07 -3.9209062368869044e+07 -2.8472318387011863e+07 -1.9317846804189034e+07 -1.1593952038333338e+07 -5.1806131107550589e+06 5.2536113561224687e+04 4.2384242065991629e+06 7.4744209053347744e+06 9.9002278960521892e+06 1.1627818471578265e+07 1.2788560694791576e+07 1.3513210352116698e+07 1.3908909144202879e+07 1.4102322855961839e+07 1.4184965777790729e+07 1.4202977714505248e+07 1.4196327249912325e+07 1.4183277235500162e+07 1.4167231828329399e+07 1.4149399854294496e+07 1.4130693392916758e+07 1.4106611523031507e+07 1.4098858383616231e+07 1.4076400466924910e+07 1.4052443421564190e+07 1.4026566237019362e+07 1.3998440607019313e+07 1.3967666730076009e+07 1.3933794951052180e+07 1.3892014356107857e+07 1.3863070397540586e+07 1.3816559829674911e+07 1.3764545750050982e+07 1.3706289945600463e+07 1.3640996780481614e+07 1.3567847133453688e+07 1.3486018085005185e+07 1.3390587611794226e+07 1.3301567123908894e+07 1.3189403921991535e+07 1.3066409870515350e+07 1.2932866825962218e+07 1.2789818104826998e+07 1.2639034662423806e+07 1.2483883666589567e+07 1.2325686796941267e+07 1.2190915613973243e+07 1.2064346003500368e+07 1.1973113849258136e+07 1.1936148917624867e+07 1.1993284430882422e+07 1.2190424356889267e+07 1.2597868803093174e+07 1.3324361357212113e+07 1.4587587110116068e+07 3.6387332370915610e+08 +2.2711570523507900e+00 -2.7811597907484776e+08 -2.7806138287963611e+08 -2.7797273244082630e+08 -2.7785966122086662e+08 -2.7775122856169719e+08 -2.7769200834156346e+08 -2.7770144202488786e+08 -2.7774604554029948e+08 -2.7779228998344862e+08 -2.7783386359414232e+08 -2.7787521174599862e+08 -2.7791722976647562e+08 -2.7795947520671219e+08 -2.7800211245717031e+08 -2.7804570842293710e+08 -2.7809067377268851e+08 -2.7813757490864277e+08 -2.7818731665743834e+08 -2.7824099846718794e+08 -2.7829983444139475e+08 -2.7836519054202396e+08 -2.7843847992919219e+08 -2.7852043268505073e+08 -2.7861194305487877e+08 -2.7872088146550357e+08 -2.7885330425542325e+08 -2.7900835316400784e+08 -2.7918718135202795e+08 -2.7939292729744428e+08 -2.7962925686436456e+08 -2.7990003468552530e+08 -2.8020915751893711e+08 -2.8056034057158238e+08 -2.8095680165253299e+08 -2.8140081514958203e+08 -2.8189302929711622e+08 -2.8243155702809137e+08 -2.8301069750353163e+08 -2.8361925957608777e+08 -2.8423827486650842e+08 -2.8488093984567684e+08 -2.8544589581558132e+08 -2.8585225737370729e+08 -2.8598610665089345e+08 -2.8569237283601749e+08 -2.8476721249206573e+08 -2.8295294335143840e+08 -2.7993873104139304e+08 -2.7537167429621184e+08 -2.6888235418487996e+08 -2.6013930870971751e+08 -2.4888304396885976e+08 -2.3499306963817212e+08 -2.1860505464485624e+08 -2.0007421857463753e+08 -1.7997501262048271e+08 -1.5902227478851721e+08 -1.3797137999549168e+08 -1.1752122630353917e+08 -9.8214279462404013e+07 -8.0444118367792249e+07 -6.4412428824859515e+07 -5.0208417193326727e+07 -3.7786397471265107e+07 -2.7066137108419117e+07 -1.7927936191768348e+07 -1.0219325418247405e+07 -3.8198631164374216e+06 1.4010053855747322e+06 5.5763145511408597e+06 8.8033647054528426e+06 1.1221786056618752e+07 1.2943394603483502e+07 1.4099399105333017e+07 1.4820295209353300e+07 1.5212959903344963e+07 1.5403857015975036e+07 1.5484305907520896e+07 1.5500253066581607e+07 1.5492143482910382e+07 1.5477620671555446e+07 1.5460072710403390e+07 1.5440667033229459e+07 1.5420337155309502e+07 1.5394535893150071e+07 1.5385023158227282e+07 1.5360611473340746e+07 1.5334563468311224e+07 1.5306419652715007e+07 1.5275821672513405e+07 1.5242333212794768e+07 1.5205463485059308e+07 1.5160342897206090e+07 1.5127722071697518e+07 1.5077061117517054e+07 1.5020393704176040e+07 1.4956914094471032e+07 1.4885753985303359e+07 1.4806019316477930e+07 1.4716812000955239e+07 1.4613127287444679e+07 1.4514986304332452e+07 1.4392678845759260e+07 1.4258550735739361e+07 1.4112909583996298e+07 1.3956893597212505e+07 1.3792435185019650e+07 1.3623208830622513e+07 1.3450993892916664e+07 1.3303009594547611e+07 1.3164975351807619e+07 1.3065501191780228e+07 1.3025571805632977e+07 1.3088005752593631e+07 1.3303052335366743e+07 1.3747596481994390e+07 1.4540805820540577e+07 1.5917928155034611e+07 3.6424769092623168e+08 +2.2761253751250483e+00 -2.7810495286142975e+08 -2.7805044251968348e+08 -2.7796193741303223e+08 -2.7784904760817456e+08 -2.7774077453502452e+08 -2.7768161291252649e+08 -2.7769097538674086e+08 -2.7773543340278924e+08 -2.7778151362532479e+08 -2.7782291165869224e+08 -2.7786406113035947e+08 -2.7790585213372946e+08 -2.7794783806824875e+08 -2.7799017740536177e+08 -2.7803342976681995e+08 -2.7807799731980675e+08 -2.7812443630291438e+08 -2.7817363885697085e+08 -2.7822668933826917e+08 -2.7828478418714637e+08 -2.7834926868166018e+08 -2.7842153166874492e+08 -2.7850227304039890e+08 -2.7859233639250439e+08 -2.7869951574122101e+08 -2.7882981907699275e+08 -2.7898235445521975e+08 -2.7915821619535607e+08 -2.7936046366945064e+08 -2.7959266812457246e+08 -2.7985858271467584e+08 -2.8016197303553313e+08 -2.8050639994459319e+08 -2.8089489965252554e+08 -2.8132953294072104e+08 -2.8181069700924623e+08 -2.8233621018629122e+08 -2.8290002670971429e+08 -2.8349055307312703e+08 -2.8408835413629043e+08 -2.8470406721109474e+08 -2.8523701944534546e+08 -2.8560546954931837e+08 -2.8569456613757277e+08 -2.8534826781066668e+08 -2.8436179933800596e+08 -2.8247671014287424e+08 -2.7938174548023593e+08 -2.7472417464327753e+08 -2.6813562453106171e+08 -2.5928681693524992e+08 -2.4792163538466388e+08 -2.3392401305431107e+08 -2.1743473646622285e+08 -1.9881398385151052e+08 -1.7864011398677543e+08 -1.5763021353768715e+08 -1.3653994614668697e+08 -1.1606678338347420e+08 -9.6750529303099468e+07 -7.8981630863651380e+07 -6.2958608537172750e+07 -4.8767965209098242e+07 -3.6361774187748939e+07 -2.5658205980556648e+07 -1.6536441984743457e+07 -8.8432472318172790e+06 -2.4577657630385580e+06 2.7507403750672177e+06 6.9154073402065095e+06 1.0133462865197297e+07 1.2544462800216399e+07 1.4260063599031413e+07 1.5411312627774749e+07 1.6128443442735285e+07 1.6518066705394454e+07 1.6706442680052698e+07 1.6784694583862588e+07 1.6798574846074522e+07 1.6789004857691273e+07 1.6773008023402762e+07 1.6753956288432276e+07 1.6732975642280230e+07 1.6711021045637153e+07 1.6683499047504054e+07 1.6672225202918394e+07 1.6645858182659436e+07 1.6617717540076453e+07 1.6587305273829261e+07 1.6554232957838533e+07 1.6518027734360771e+07 1.6478157648305966e+07 1.6429694416332366e+07 1.6393393664803915e+07 1.6338578985291803e+07 1.6277254493478434e+07 1.6208546873590689e+07 1.6131515096647371e+07 1.6045190103038633e+07 1.5948598577597709e+07 1.5836653007388031e+07 1.5729384083054906e+07 1.5596924194341561e+07 1.5451653053923003e+07 1.5293904045482781e+07 1.5124910342431538e+07 1.4946765938920598e+07 1.4763452881375352e+07 1.4577208607515119e+07 1.4416000454589296e+07 1.4266492340892514e+07 1.4158769535296943e+07 1.4115873340590810e+07 1.4183610002045283e+07 1.4416577675803570e+07 1.4898251436111758e+07 1.5758231403830351e+07 1.7249342047743425e+07 3.6461836346275026e+08 +2.2810936978993066e+00 -2.7808722064762110e+08 -2.7803280027148473e+08 -2.7794444230571347e+08 -2.7783173228496599e+08 -2.7772361839276290e+08 -2.7766451716599244e+08 -2.7767380761328375e+08 -2.7771811917607284e+08 -2.7776403438229805e+08 -2.7780525586406493e+08 -2.7784620551743388e+08 -2.7788776820477903e+08 -2.7792949315518141e+08 -2.7797153284457427e+08 -2.7801443959876758e+08 -2.7805860701650751e+08 -2.7810458112589800e+08 -2.7815324129327214e+08 -2.7820565670304191e+08 -2.7826300602862269e+08 -2.7832661374557215e+08 -2.7839784424471325e+08 -2.7847736705264771e+08 -2.7856597482064462e+08 -2.7867138472718769e+08 -2.7879955616132087e+08 -2.7894956332185686e+08 -2.7912244137957639e+08 -2.7932117019630468e+08 -2.7954922593447858e+08 -2.7981024973559117e+08 -2.8010787543680209e+08 -2.8044550888002747e+08 -2.8082600394577241e+08 -2.8125120701910841e+08 -2.8172126343041950e+08 -2.8223369604927140e+08 -2.8278211336060119e+08 -2.8335451875636870e+08 -2.8393100978092802e+08 -2.8451965598869950e+08 -2.8502047747968459e+08 -2.8535087855479276e+08 -2.8539507737488967e+08 -2.8499606723734087e+08 -2.8394814934972346e+08 -2.8199211671483386e+08 -2.7881631023563010e+08 -2.7406818977624297e+08 -2.6738045086384618e+08 -2.5842602176065215e+08 -2.4695218177607641e+08 -2.3284729626244214e+08 -2.1625726331319994e+08 -1.9754719802373284e+08 -1.7729933145723677e+08 -1.5623295701633629e+08 -1.3510398664682892e+08 -1.1460843343882273e+08 -9.5283419869965658e+07 -7.7516252777520522e+07 -6.1502288510807998e+07 -4.7325333305552170e+07 -3.4935229483989179e+07 -2.4248560613972474e+07 -1.5143398648625799e+07 -7.4657509922353253e+06 -1.0943537820083110e+06 4.1017089851895235e+06 8.2556709849540126e+06 1.1464684196518293e+07 1.3868227249218879e+07 1.5577794815823266e+07 1.6724270793491308e+07 1.7437624710345235e+07 1.7824199301110111e+07 1.8010049668742027e+07 1.8086101683595091e+07 1.8097912979636762e+07 1.8086881335235041e+07 1.8069409286318261e+07 1.8048852592585653e+07 1.8026295748104695e+07 1.8002715168177079e+07 1.7973471130106710e+07 1.7960434702747822e+07 1.7932110825190030e+07 1.7901875915663622e+07 1.7869193431678221e+07 1.7833644851612303e+07 1.7794720746255070e+07 1.7751847961738020e+07 1.7700039511721496e+07 1.7660055860639814e+07 1.7601084212945834e+07 1.7535099005774867e+07 1.7461159291835580e+07 1.7378251259375706e+07 1.7285330790646940e+07 1.7181349283416674e+07 1.7061136431360900e+07 1.6944732331495114e+07 1.6802112074307021e+07 1.6645689189679274e+07 1.6475822855478197e+07 1.6293841286113229e+07 1.6102000186715612e+07 1.5904589407730214e+07 1.5704304854447914e+07 1.5529862414374709e+07 1.5368871456756547e+07 1.5252893556855975e+07 1.5207028268188315e+07 1.5280071802034546e+07 1.5530974585915243e+07 1.6049807013198586e+07 1.6976609908120546e+07 1.8581797949425820e+07 3.6498534507014936e+08 +2.2860620206735649e+00 -2.7806278198842317e+08 -2.7800844992246896e+08 -2.7792023927534634e+08 -2.7780771011998445e+08 -2.7769975789146793e+08 -2.7764071660450310e+08 -2.7764993470159978e+08 -2.7769409888731110e+08 -2.7773984827682221e+08 -2.7778089223387206e+08 -2.7782164094001514e+08 -2.7786297401625550e+08 -2.7790443651070094e+08 -2.7794617482968265e+08 -2.7798873398202980e+08 -2.7803249893782949e+08 -2.7807800546699268e+08 -2.7812612007305068e+08 -2.7817789668922007e+08 -2.7823449611802614e+08 -2.7829722191483045e+08 -2.7836741387291908e+08 -2.7844571097889876e+08 -2.7853285464585334e+08 -2.7863648479128283e+08 -2.7876251194965500e+08 -2.7890997629187042e+08 -2.7907985353574789e+08 -2.7927504363210773e+08 -2.7949892719327021e+08 -2.7975503282050329e+08 -2.8004686199942392e+08 -2.8037766489703095e+08 -2.8075011234105110e+08 -2.8116583553706819e+08 -2.8162472712295890e+08 -2.8212401366772538e+08 -2.8265695708924556e+08 -2.8321115695545876e+08 -2.8376624296178848e+08 -2.8432770841611475e+08 -2.8479627346136737e+08 -2.8508848951012236e+08 -2.8508764738554841e+08 -2.8463578042042226e+08 -2.8352627454426533e+08 -2.8149917826947945e+08 -2.7824244418283492e+08 -2.7340374270036590e+08 -2.6661686068215427e+08 -2.5755695535775810e+08 -2.4597471990200534e+08 -2.3176296019236878e+08 -2.1507267953544167e+08 -1.9627390784280542e+08 -1.7595271303909329e+08 -1.5483055337800950e+08 -1.3366354886802009e+08 -1.1314622239904737e+08 -9.3812995271025494e+07 -7.6048026258238629e+07 -6.0043508974334590e+07 -4.5880559938375644e+07 -3.3506800244403943e+07 -2.2837236539096221e+07 -1.3748840570171151e+07 -6.0868701353486711e+06 2.7034017127342353e+05 5.4538791940553272e+06 9.5970739705956616e+06 1.2796997584713407e+07 1.5193048598733831e+07 1.6896557683790445e+07 1.8038243205769598e+07 1.8747808741933126e+07 1.9131327512756880e+07 1.9314647873923324e+07 1.9388497154635597e+07 1.9398237464975707e+07 1.9385742947539076e+07 1.9366794526556104e+07 1.9344731723909944e+07 1.9320597488141540e+07 1.9295389697892286e+07 1.9264422355540190e+07 1.9249621913283691e+07 1.9219339701686580e+07 1.9187008944095951e+07 1.9152054527697466e+07 1.9114027812433299e+07 1.9072382769864511e+07 1.9026505016057286e+07 1.8971348851184405e+07 1.8927679412311237e+07 1.8864547649552908e+07 1.8793898197714660e+07 1.8714722426642060e+07 1.8625933686586451e+07 1.8526412744624075e+07 1.8415035654391870e+07 1.8286549286093041e+07 1.8161002987556566e+07 1.8008214658144169e+07 1.7840631572977431e+07 1.7658638723713826e+07 1.7463659437849160e+07 1.7258111254270136e+07 1.7046592060982592e+07 1.6832256609124437e+07 1.6644569755105384e+07 1.6472087245736694e+07 1.6347847993364241e+07 1.6299011393763635e+07 1.6377365835364852e+07 1.6646217334453050e+07 1.7202236624002486e+07 1.8195913201149009e+07 1.9915265094207380e+07 3.6534863957591450e+08 +2.2910303434478232e+00 -2.7803163071111953e+08 -2.7797738967625099e+08 -2.7788932980682844e+08 -2.7777698033720392e+08 -2.7766918842166418e+08 -2.7761020733859491e+08 -2.7761935278580976e+08 -2.7766336885185492e+08 -2.7770895156157929e+08 -2.7774981702355170e+08 -2.7779036366620797e+08 -2.7783146584065753e+08 -2.7787266441300601e+08 -2.7791409965000463e+08 -2.7795630921453583e+08 -2.7799966939507693e+08 -2.7804470565133780e+08 -2.7809227153897697e+08 -2.7814340565987158e+08 -2.7819925084327704e+08 -2.7826108960704964e+08 -2.7833023700533748e+08 -2.7840730131266022e+08 -2.7849297241229087e+08 -2.7859481253838772e+08 -2.7871868312095344e+08 -2.7886359013213545e+08 -2.7903044953537112e+08 -2.7922208097171932e+08 -2.7944176904238236e+08 -2.7969292928407127e+08 -2.7997893024422693e+08 -2.8030286576181638e+08 -2.8066722289471865e+08 -2.8107341689767069e+08 -2.8152108690135932e+08 -2.8200716234730184e+08 -2.8252455778712529e+08 -2.8306046826086742e+08 -2.8359405510546160e+08 -2.8412822700180650e+08 -2.8456441120694107e+08 -2.8481830781484681e+08 -2.8477228347544205e+08 -2.8426741695115054e+08 -2.8309618722766632e+08 -2.8099791029715836e+08 -2.7766016648030919e+08 -2.7273085669596642e+08 -2.6584488174178794e+08 -2.5667965013202134e+08 -2.4498928672206330e+08 -2.3067104593553415e+08 -2.1388102959968838e+08 -1.9499416013257435e+08 -1.7460030676942125e+08 -1.5342305076962486e+08 -1.3221868014700608e+08 -1.1168019613772568e+08 -9.2339299544402152e+07 -7.4576993376926988e+07 -5.8582310075038910e+07 -4.4433683480858870e+07 -3.2076523271519091e+07 -2.1424269205555771e+07 -1.2352802056759516e+07 -4.7066380190426484e+06 1.6362835181106073e+06 6.8072190553617049e+06 1.0939584856999630e+07 1.4130371988975048e+07 1.6518896117216963e+07 1.8216321705690220e+07 1.9353199540435646e+07 2.0058965339531619e+07 2.0439421234646458e+07 2.0620207259423263e+07 2.0691851016730748e+07 2.0699518371536296e+07 2.0685559798164755e+07 2.0665133881858256e+07 2.0641563854867011e+07 2.0615851071174882e+07 2.0589014880964477e+07 2.0556323009576149e+07 2.0539757161164023e+07 2.0507515183825359e+07 2.0473087045288946e+07 2.0435859034059349e+07 2.0395352369473096e+07 2.0350984396957811e+07 2.0302099472162321e+07 2.0243593172565583e+07 2.0196235142747659e+07 2.0128940213770673e+07 2.0053623095296338e+07 1.9969207424544737e+07 1.9874533660112768e+07 1.9768407398738667e+07 1.9649629294472162e+07 1.9512863365866806e+07 1.9378168056227684e+07 1.9215204184824094e+07 1.9036452699663084e+07 1.8842324425107069e+07 1.8634337871715032e+07 1.8415072531108562e+07 1.8189434555428993e+07 1.7961037909104969e+07 1.7760096819450464e+07 1.7576114314960945e+07 1.7443607642091677e+07 1.7391797582879826e+07 1.7475466845347721e+07 1.7762280251586381e+07 1.8355513742787428e+07 1.9416113217863806e+07 2.1249712789699972e+07 3.6570825088299441e+08 +2.2959986662220815e+00 -2.7799376450935215e+08 -2.7793961402119946e+08 -2.7785170087962073e+08 -2.7773953763210869e+08 -2.7763190633437586e+08 -2.7757298599716526e+08 -2.7758205827810371e+08 -2.7762592563581902e+08 -2.7767134072079086e+08 -2.7771202672036624e+08 -2.7775237020015377e+08 -2.7779324018590164e+08 -2.7783417337461686e+08 -2.7787530383023673e+08 -2.7791716182931542e+08 -2.7796011493427688e+08 -2.7800467823949981e+08 -2.7805169226850289e+08 -2.7810218021394002e+08 -2.7815726682821411e+08 -2.7821821347525394e+08 -2.7828631033017123e+08 -2.7836213478412384e+08 -2.7844632490029156e+08 -2.7854636481135261e+08 -2.7866806659211504e+08 -2.7881040184820783e+08 -2.7897422648864239e+08 -2.7916227944972533e+08 -2.7937774886371773e+08 -2.7962393668362373e+08 -2.7990407793616951e+08 -2.8022110948528004e+08 -2.8057733391089350e+08 -2.8097394975270653e+08 -2.8141034183167160e+08 -2.8188314164793706e+08 -2.8238491560333461e+08 -2.8290245352496141e+08 -2.8341444790389544e+08 -2.8392121452268523e+08 -2.8432489480736482e+08 -2.8454033914627105e+08 -2.8444899323363596e+08 -2.8389098670649296e+08 -2.8265789999292797e+08 -2.8048832857414567e+08 -2.7706949656800812e+08 -2.7204955531376618e+08 -2.6506454205328745e+08 -2.5579413871867999e+08 -2.4399591939361849e+08 -2.2957159474119243e+08 -2.1268235808794513e+08 -1.9370800178684855e+08 -1.7324216071301752e+08 -1.5201049732925087e+08 -1.3076942778306067e+08 -1.1021040047069630e+08 -9.0862376657632515e+07 -7.3103196126337513e+07 -5.7118731878283970e+07 -4.2984742223293819e+07 -3.0644435285260361e+07 -2.0009693981493734e+07 -1.0955317335720694e+07 -3.3250879225936518e+06 3.0034437571037216e+06 8.1616966989703942e+06 1.2283172279268634e+07 1.5464776442979984e+07 1.7845739147013471e+07 1.9537056457771227e+07 2.0669109546415593e+07 2.1371064378019974e+07 2.1748450433754466e+07 2.1926697861543611e+07 2.1996133361979969e+07 2.2001725840941340e+07 2.1986302062881671e+07 2.1964397562068727e+07 2.1939319229926366e+07 2.1912026777875431e+07 2.1883561035439651e+07 2.1849143449658498e+07 2.1830810844643425e+07 2.1796607714780375e+07 2.1760080710539445e+07 2.1720577494197454e+07 2.1677589123048354e+07 2.1630496290280338e+07 2.1578602061792262e+07 2.1516743284336153e+07 2.1465693945369437e+07 2.1394232894529499e+07 2.1314244794513650e+07 2.1224585501683451e+07 2.1124022531135507e+07 2.1011286255710177e+07 2.0885101876160372e+07 2.0740050533005603e+07 2.0596199610013060e+07 2.0423052960343454e+07 2.0233125131938968e+07 2.0026852800294995e+07 1.9805849726782564e+07 1.9572857471013106e+07 1.9333090668768641e+07 1.9090622854646042e+07 1.8876418011998534e+07 1.8680927332860399e+07 1.8540147361149821e+07 1.8485361761766929e+07 1.8574349636230741e+07 1.8879137729450315e+07 1.9509611907855965e+07 2.0637181960911896e+07 2.2585110417595096e+07 3.6606418296921766e+08 +2.3009669889963398e+00 -2.7794918206293392e+08 -2.7789512308752048e+08 -2.7780735813845050e+08 -2.7769537780482107e+08 -2.7758790950257224e+08 -2.7752904954056072e+08 -2.7753804793998080e+08 -2.7758176600579125e+08 -2.7762701247369385e+08 -2.7766751804561967e+08 -2.7770765727995443e+08 -2.7774829379570174e+08 -2.7778896014359903e+08 -2.7782978412920308e+08 -2.7787128859408838e+08 -2.7791383233593309e+08 -2.7795792002640730e+08 -2.7800437907470685e+08 -2.7805421718542868e+08 -2.7810854093204737e+08 -2.7816859040846652e+08 -2.7823563077168900e+08 -2.7831020835943556e+08 -2.7839290912783635e+08 -2.7849113868961781e+08 -2.7861065951770651e+08 -2.7875040868363339e+08 -2.7891118174504203e+08 -2.7909563654093987e+08 -2.7930686428060871e+08 -2.7954805281820357e+08 -2.7982230308292383e+08 -2.8013239432361525e+08 -2.8048044394011027e+08 -2.8086743300315452e+08 -2.8129249123197109e+08 -2.8175195138389558e+08 -2.8223803094369453e+08 -2.8273711385989720e+08 -2.8322742331287098e+08 -2.8370667402407008e+08 -2.8407772862581551e+08 -2.8425458945946413e+08 -2.8411778452971053e+08 -2.8350649984740293e+08 -2.8221142571997184e+08 -2.7997044916288394e+08 -2.7647045416586292e+08 -2.7135986237460488e+08 -2.6427586987974089e+08 -2.5490045398074329e+08 -2.4299465526906371e+08 -2.2846464801534909e+08 -2.1147670969383341e+08 -1.9241547976631516e+08 -1.7187832296032920e+08 -1.5059294118467885e+08 -1.2931583903717437e+08 -1.0873688115480912e+08 -8.9382270506031856e+07 -7.1626676419816151e+07 -5.5652814366433665e+07 -4.1533774372057691e+07 -2.9210572922174852e+07 -1.8593546152953643e+07 -9.5564205537332129e+06 -1.9422530460659324e+06 4.3717884647538774e+06 9.5172803315178305e+06 1.3627804948358459e+07 1.6800180055491868e+07 1.9173547104922350e+07 2.0858731590259697e+07 2.1985943046295695e+07 2.2684075805658702e+07 2.3058385150255214e+07 2.3234089789617080e+07 2.3301314355410751e+07 2.3304830087683480e+07 2.3287939990149505e+07 2.3264555849646263e+07 2.3237968166075382e+07 2.3209094961371813e+07 2.3178998551709365e+07 2.3142854105564386e+07 2.3122753434124388e+07 2.3086587809828203e+07 2.3047960503077604e+07 2.3006180523361363e+07 2.2960708745140165e+07 2.2910889184156869e+07 2.2855983588065594e+07 2.2790770066186529e+07 2.2736026784530837e+07 2.2660396751404826e+07 2.2575734461782087e+07 2.2480827944412198e+07 2.2374371720693003e+07 2.2255020887711085e+07 2.2121425141008206e+07 2.1968082718498502e+07 2.1815069789546680e+07 2.1631733358214419e+07 2.1430621498940449e+07 2.1212196756144959e+07 2.0978168207598418e+07 2.0731439592514757e+07 2.0477534242657483e+07 2.0220985609118253e+07 1.9993507799759813e+07 1.9786501029645305e+07 1.9637442069940642e+07 1.9579678917788848e+07 1.9673989073692646e+07 1.9996764222641297e+07 2.0664504722050671e+07 2.1859091501246564e+07 2.3921427434258319e+07 3.6641643988671231e+08 +2.3059353117705981e+00 -2.7789787840566075e+08 -2.7784391163700229e+08 -2.7775629644410795e+08 -2.7764449825471854e+08 -2.7753719361223650e+08 -2.7747839503684825e+08 -2.7748731882965118e+08 -2.7753088690431905e+08 -2.7757596377937436e+08 -2.7761628795643497e+08 -2.7765622187733018e+08 -2.7769662364786649e+08 -2.7773702170127457e+08 -2.7777753753969079e+08 -2.7781868651101679e+08 -2.7786081861517400e+08 -2.7790442804171443e+08 -2.7795032900478530e+08 -2.7799951364290363e+08 -2.7805307024844646e+08 -2.7811221753014493e+08 -2.7817819548902929e+08 -2.7825151924054235e+08 -2.7833272234738338e+08 -2.7842913148916304e+08 -2.7854645928911042e+08 -2.7868360811955655e+08 -2.7884131289188176e+08 -2.7902214995861447e+08 -2.7922911315610749e+08 -2.7946527572825968e+08 -2.7973360393545377e+08 -2.8003671877689511e+08 -2.8037655177902532e+08 -2.8075386579756010e+08 -2.8116753467029983e+08 -2.8161359162233531e+08 -2.8208390447072268e+08 -2.8256445063806188e+08 -2.8303298355166209e+08 -2.8348460881913495e+08 -2.8382291729808450e+08 -2.8396106498535711e+08 -2.8377866551358765e+08 -2.8311396681840676e+08 -2.8175677757145166e+08 -2.7944428840691006e+08 -2.7586305927132845e+08 -2.7066180196572721e+08 -2.6347889373415384e+08 -2.5399862900648808e+08 -2.4198553189377367e+08 -2.2735024731641516e+08 -2.1026412922042888e+08 -1.9111664109728691e+08 -1.7050884162483963e+08 -1.4917043045148617e+08 -1.2785796112983598e+08 -1.0725968388684742e+08 -8.7899024912016466e+07 -7.0147476090355888e+07 -5.4184597438115165e+07 -4.0080818049006276e+07 -2.7774972734730367e+07 -1.7175860923166275e+07 -8.1561457761538513e+06 -5.5816650968678214e+05 5.7412852960684542e+06 1.0873938236994654e+07 1.4973451651608642e+07 1.8136552010912154e+07 2.0502289482822876e+07 2.2181316827968374e+07 2.3303669936919916e+07 2.3997969644705422e+07 2.4369195498104867e+07 2.4542353226615433e+07 2.4607364235532764e+07 2.4608801399580877e+07 2.4590443901719764e+07 2.4565579100246709e+07 2.4537481053478733e+07 2.4507026047847874e+07 2.4475297893099323e+07 2.4437425479852259e+07 2.4415555472798631e+07 2.4377426056829352e+07 2.4336697058661938e+07 2.4292638809210028e+07 2.4244681980005257e+07 2.4192133884953432e+07 2.4134214925980922e+07 2.4065644469489180e+07 2.4007204696076371e+07 2.3927402915362533e+07 2.3838063334565915e+07 2.3737906109823618e+07 2.3625552720186140e+07 2.3499582936950929e+07 2.3358570900202252e+07 2.3196931922440685e+07 2.3034750804092553e+07 2.2841217819998138e+07 2.2628914497163296e+07 2.2398329266264521e+07 2.2151266584744655e+07 2.1890792479330581e+07 2.1622739183156990e+07 2.1352100399551712e+07 2.1111340712575577e+07 2.0892810197735980e+07 2.0735466749642923e+07 2.0674724099888258e+07 2.0774360085344344e+07 2.1115134248657893e+07 2.1820165853174821e+07 2.3081813978603661e+07 2.5258633371262997e+07 3.6676502576132542e+08 +2.3109036345448564e+00 -2.7783984853846753e+08 -2.7778597417756838e+08 -2.7769851126731277e+08 -2.7758689950010979e+08 -2.7747975582176143e+08 -2.7742101935141772e+08 -2.7742986822298169e+08 -2.7747328547017896e+08 -2.7751819183733284e+08 -2.7755833364781398e+08 -2.7759806119669664e+08 -2.7763822695527291e+08 -2.7767835526361573e+08 -2.7771856128755212e+08 -2.7775935281622577e+08 -2.7780107102107966e+08 -2.7784419954850191e+08 -2.7788953933994925e+08 -2.7793806688921714e+08 -2.7799085210572100e+08 -2.7804909219882417e+08 -2.7811400187660533e+08 -2.7818606486432040e+08 -2.7826576204809564e+08 -2.7836034076170927e+08 -2.7847546353366286e+08 -2.7860999787396902e+08 -2.7876461775475639e+08 -2.7894181765544307e+08 -2.7914449359308189e+08 -2.7937560369500613e+08 -2.7963797898651427e+08 -2.7993408158932894e+08 -2.8026565646971703e+08 -2.8063324753327179e+08 -2.8103547196478361e+08 -2.8146806268342000e+08 -2.8192253710216987e+08 -2.8238446548975378e+08 -2.8283113110144633e+08 -2.8325502248722905e+08 -2.8356046572974068e+08 -2.8365977222978723e+08 -2.8343164461378288e+08 -2.8271339834519106e+08 -2.8129396899376231e+08 -2.7890986293165010e+08 -2.7524733215717405e+08 -2.6995539843992853e+08 -2.6267364237698433e+08 -2.5308869710678229e+08 -2.4096858700259462e+08 -2.2622843435367918e+08 -2.0904466157832626e+08 -1.8981153286842886e+08 -1.6913376484177768e+08 -1.4774301323083845e+08 -1.2639584123971215e+08 -1.0577885430195796e+08 -8.6412683623645663e+07 -6.8665636889486715e+07 -5.2714120907347709e+07 -3.8625911290540069e+07 -2.6337671190728653e+07 -1.5756673411927374e+07 -6.7545269864140479e+06 8.2713864675891574e+05 7.1119019851452215e+06 1.2231638777338242e+07 1.6320081253372183e+07 1.9473861569898356e+07 2.1831935848193631e+07 2.3504781970891628e+07 2.4622260189884763e+07 2.5312715991949454e+07 2.5680851665564436e+07 2.5851458429678753e+07 2.5914253314878881e+07 2.5913610138348088e+07 2.5893784193171442e+07 2.5867437743295211e+07 2.5837828355914243e+07 2.5805790537040152e+07 2.5772429596433260e+07 2.5732828148483410e+07 2.5709187577074777e+07 2.5669093116859939e+07 2.5626261086074695e+07 2.5579923112269845e+07 2.5529479644655984e+07 2.5474201271686461e+07 2.5413267023024879e+07 2.5341337517905485e+07 2.5279198787956793e+07 2.5195222589060538e+07 2.5101202721877921e+07 2.4995791426215101e+07 2.4877537091957066e+07 2.4744944116203144e+07 2.4596511035035655e+07 2.4426570214566074e+07 2.4255214932025313e+07 2.4051478855793953e+07 2.3827976891145144e+07 2.3585223371479787e+07 2.3325118195279099e+07 2.3050889780922435e+07 2.2768679461275190e+07 2.2483941517069362e+07 2.2229891343745019e+07 2.1999829692302931e+07 2.1834196443698410e+07 2.1770472419145487e+07 2.1875437661142971e+07 2.2234222388405386e+07 2.2976569034622181e+07 2.4305321602026902e+07 2.6596697835995842e+07 3.6710994479204613e+08 +2.3158719573191147e+00 -2.7777509611107546e+08 -2.7772131366719174e+08 -2.7763400089041388e+08 -2.7752257515987867e+08 -2.7741559475840503e+08 -2.7735691973619682e+08 -2.7736569355631405e+08 -2.7740895908093327e+08 -2.7745369408761501e+08 -2.7749365255333954e+08 -2.7753317267617494e+08 -2.7757310116306651e+08 -2.7761295828040951e+08 -2.7765285283176303e+08 -2.7769328497827739e+08 -2.7773458703537130e+08 -2.7777723204371083e+08 -2.7782200759520483e+08 -2.7786987446057427e+08 -2.7792188406608605e+08 -2.7797921200735039e+08 -2.7804304756286538e+08 -2.7811384290263689e+08 -2.7819202595341027e+08 -2.7828476429494190e+08 -2.7839767011590528e+08 -2.7852957590209001e+08 -2.7868109439628452e+08 -2.7885463782193631e+08 -2.7905300393359089e+08 -2.7927903524035937e+08 -2.7953542697095549e+08 -2.7982448174807721e+08 -2.8014775729974240e+08 -2.8050557785313231e+08 -2.8089630318271846e+08 -2.8131536513884175e+08 -2.8175393001048344e+08 -2.8219716030408317e+08 -2.8262186870526153e+08 -2.8301791887362862e+08 -2.8329037909686369e+08 -2.8335071797254038e+08 -2.8307673053619236e+08 -2.8230480543389535e+08 -2.8082301371415240e+08 -2.7836718964241159e+08 -2.7462329337039280e+08 -2.6924067641261208e+08 -2.6186014481430903e+08 -2.5217069181258151e+08 -2.3994385851798505e+08 -2.2509925098440027e+08 -2.0781835178204927e+08 -1.8850020222851741e+08 -1.6775314076497242e+08 -1.4631073760799283e+08 -1.2492952650224701e+08 -1.0429443797247720e+08 -8.4923290313795462e+07 -6.7181200486539155e+07 -5.1241424502865508e+07 -3.7169092047032163e+07 -2.4898704672497358e+07 -1.4336018654894855e+07 -5.3515980853892425e+06 2.2136294645353546e+06 8.4836063457820285e+06 1.3590350393028151e+07 1.7667662695556466e+07 2.0812078069824941e+07 2.3162455844707046e+07 2.4829096894694481e+07 2.5941683852174338e+07 2.6628285019222304e+07 2.6993323915795151e+07 2.7161375730642837e+07 2.7221951980586395e+07 2.7219226740233850e+07 2.7197931334465731e+07 2.7170102282506790e+07 2.7138980611375459e+07 2.7105359002789784e+07 2.7070364272548579e+07 2.7029032761358056e+07 2.7003620437267557e+07 2.6961559724700186e+07 2.6916623367742006e+07 2.6868004266580734e+07 2.6815072629418723e+07 2.6757062296519194e+07 2.6693110899666853e+07 2.6617820307862055e+07 2.6551980240715582e+07 2.6463827047627930e+07 2.6365124004797120e+07 2.6254455393714909e+07 2.6130296469814565e+07 2.5991076209282231e+07 2.5835217497470245e+07 2.5656969734818980e+07 2.5476434521406829e+07 2.5262489044808693e+07 2.5027781513698228e+07 2.4772852180365056e+07 2.4499696443233773e+07 2.4211705212934822e+07 2.3915329113426890e+07 2.3616483317433923e+07 2.3349134350347385e+07 2.3107534431667287e+07 2.2933606258217577e+07 2.2866899049099147e+07 2.2977196853925228e+07 2.3354003286647473e+07 2.4133688065697256e+07 2.5529586650367804e+07 2.7935590512231089e+07 3.6745120125042838e+08 +2.3208402800933730e+00 -2.7770361452252960e+08 -2.7764992332909137e+08 -2.7756276128336734e+08 -2.7745152038699156e+08 -2.7734470737542284e+08 -2.7728609433934569e+08 -2.7729479244303703e+08 -2.7733790538125992e+08 -2.7738246820636857e+08 -2.7742224234330022e+08 -2.7746155398634523e+08 -2.7750124395082206e+08 -2.7754082843445736e+08 -2.7758040986420619e+08 -2.7762048069969106e+08 -2.7766136437334329e+08 -2.7770352325705618e+08 -2.7774773151844543e+08 -2.7779493412704378e+08 -2.7784616392514253e+08 -2.7790257478118914e+08 -2.7796533041019207e+08 -2.7803485126097924e+08 -2.7811151202222306e+08 -2.7820240011074311e+08 -2.7831307713490272e+08 -2.7844234039468825e+08 -2.7859074111643118e+08 -2.7876060888647473e+08 -2.7895464275846899e+08 -2.7917556912543380e+08 -2.7942594686429125e+08 -2.7970791848286968e+08 -2.8002285380042446e+08 -2.8037085664766949e+08 -2.8075002864018577e+08 -2.8115549981164157e+08 -2.8157808462291306e+08 -2.8200253722723603e+08 -2.8240519936714405e+08 -2.8277330208789253e+08 -2.8301266284385121e+08 -2.8303390926623124e+08 -2.8271393226345390e+08 -2.8188819936900842e+08 -2.8034392573934537e+08 -2.7781628572140491e+08 -2.7399096372985774e+08 -2.6851766075973535e+08 -2.6103843029420990e+08 -2.5124464687241644e+08 -2.3891138454681364e+08 -2.2396273921089509e+08 -2.0658524494806269e+08 -1.8718269638453966e+08 -1.6636701756544954e+08 -1.4487365165053934e+08 -1.2345906400765771e+08 -1.0280648040659702e+08 -8.3430888578873292e+07 -6.5694208467710570e+07 -4.9766547867039926e+07 -3.5710398181975044e+07 -2.3458109476241842e+07 -1.2913931603022557e+07 -3.9473928907590271e+06 3.6012730665560500e+06 9.8563662720360868e+06 1.4950041603599247e+07 1.9016164998213805e+07 2.2151170925503593e+07 2.4493819192741498e+07 2.6154231551311668e+07 2.7261911046653144e+07 2.7944646974018920e+07 2.8306582587355442e+07 2.8472075536654353e+07 2.8530430694925249e+07 2.8525621716429874e+07 2.8502855870465837e+07 2.8473543296413749e+07 2.8440908432620421e+07 2.8405702093694538e+07 2.8369072606817402e+07 2.8326010042851519e+07 2.8298824818002470e+07 2.8254796689359542e+07 2.8207754760162111e+07 2.8156853180178110e+07 2.8101431898500968e+07 2.8040687985338733e+07 2.7973717649895057e+07 2.7895064009187855e+07 2.7825520307984643e+07 2.7733187639017694e+07 2.7629798637091678e+07 2.7513869584775742e+07 2.7383802559510838e+07 2.7237951071625546e+07 2.7074662310611464e+07 2.6888102693811402e+07 2.6698381990412030e+07 2.6474221035800185e+07 2.6228301266723327e+07 2.5961188869715072e+07 2.5674974800164610e+07 2.5373212557769079e+07 2.5062662241878171e+07 2.4749700221443720e+07 2.4469044453747910e+07 2.4215899397799872e+07 2.4033671362499770e+07 2.3963979226354420e+07 2.4079612779788289e+07 2.4474451652502973e+07 2.5291496812239137e+07 2.6754581472845748e+07 2.9275281160628352e+07 3.6778879948001850e+08 +2.3258086028676312e+00 -2.7762540172643018e+08 -2.7757180199229562e+08 -2.7748479427664113e+08 -2.7737374094589257e+08 -2.7726709223571724e+08 -2.7720854059860557e+08 -2.7721716271680927e+08 -2.7726012228395587e+08 -2.7730451210258377e+08 -2.7734410092332125e+08 -2.7738320303034526e+08 -2.7742265322941774e+08 -2.7746196364211929e+08 -2.7750123030883014e+08 -2.7754093791492683e+08 -2.7758140098203439e+08 -2.7762307115049613e+08 -2.7766670909046012e+08 -2.7771324389108592e+08 -2.7776368971129376e+08 -2.7781917858023548e+08 -2.7788084851472068e+08 -2.7794908807949996e+08 -2.7802421844659394e+08 -2.7811324646668047e+08 -2.7822168292491949e+08 -2.7834828977850050e+08 -2.7849355645072806e+08 -2.7865972951441950e+08 -2.7884940888655734e+08 -2.7906520435120714e+08 -2.7930953788274932e+08 -2.7958439126583254e+08 -2.7989094574714857e+08 -2.8022908405233401e+08 -2.8059664890132129e+08 -2.8098846777500194e+08 -2.8139500261895782e+08 -2.8180059866193777e+08 -2.8218112635066503e+08 -2.8252117650358582e+08 -2.8272732268318552e+08 -2.8270935343471557e+08 -2.8234325905274403e+08 -2.8146359171265602e+08 -2.7985671935372335e+08 -2.7725716862650013e+08 -2.7335036432364899e+08 -2.6778637661544061e+08 -2.6020852830590531e+08 -2.5031059624949667e+08 -2.3787120337805736e+08 -2.2281894117836830e+08 -2.0534538629241592e+08 -1.8585906259885186e+08 -1.6497544342924890e+08 -1.4343180340634021e+08 -1.2198450079984643e+08 -1.0131502704691987e+08 -8.1935521937732443e+07 -6.4204702334889553e+07 -4.8289530555261970e+07 -3.4249867471285731e+07 -2.2015921811389115e+07 -1.1490447121838477e+07 -2.5419451364235720e+06 4.9900366579759344e+06 1.1230149738846285e+07 1.6310681008308839e+07 2.0365557260072865e+07 2.3491109629576869e+07 2.5825995689974427e+07 2.7480155969499100e+07 2.8582911972688425e+07 2.9261772180033784e+07 2.9620598094796356e+07 2.9783528330627132e+07 2.9839659995832808e+07 2.9832765653708268e+07 2.9808528421573658e+07 2.9777731438987136e+07 2.9743582507711504e+07 2.9706790533384111e+07 2.9668525359790422e+07 2.9623730792323552e+07 2.9594771558827803e+07 2.9548774894653972e+07 2.9499626194545396e+07 2.9446440835606758e+07 2.9388528490508147e+07 2.9325049438275352e+07 2.9255058441781219e+07 2.9173039865513403e+07 2.9099790317075044e+07 2.9003275784604359e+07 2.8895198145568907e+07 2.8774005644666463e+07 2.8638027139312875e+07 2.8485540630798038e+07 2.8314817569247145e+07 2.8119941373383835e+07 2.7921029827940561e+07 2.7686647547618955e+07 2.7429509121414199e+07 2.7150206685038123e+07 2.6850926805561550e+07 2.6535385664880328e+07 2.6210653015243076e+07 2.5883566715418100e+07 2.5589596440160461e+07 2.5324899636764161e+07 2.5134366989463285e+07 2.5061688250898063e+07 2.5182660618572883e+07 2.5595542259846099e+07 2.6449969207052100e+07 2.7980278489500284e+07 3.0615739619343869e+07 3.6812274389578056e+08 +2.3307769256418895e+00 -2.7754045694234353e+08 -2.7748694923147267e+08 -2.7740009308887571e+08 -2.7728922743221045e+08 -2.7718274629588765e+08 -2.7712425652289915e+08 -2.7713280244403297e+08 -2.7717560794869787e+08 -2.7721982391586471e+08 -2.7725922643258750e+08 -2.7729811794407886e+08 -2.7733732714114666e+08 -2.7737636205082458e+08 -2.7741531232042181e+08 -2.7745465479023522e+08 -2.7749469504075611e+08 -2.7753587391888857e+08 -2.7757893852435952e+08 -2.7762480198730946e+08 -2.7767445968595213e+08 -2.7772902169609416e+08 -2.7778960020518005e+08 -2.7785655173063111e+08 -2.7793014365283114e+08 -2.7801730185303473e+08 -2.7812348605532396e+08 -2.7824742271529835e+08 -2.7838953917110974e+08 -2.7855199860780650e+08 -2.7873730137431371e+08 -2.7894794015714645e+08 -2.7918619948267257e+08 -2.7945389981044358e+08 -2.7975203315847129e+08 -2.8008026044789642e+08 -2.8043616477736366e+08 -2.8081427035283887e+08 -2.8120468593148655e+08 -2.8159134726626074e+08 -2.8194965317819393e+08 -2.8226154675704902e+08 -2.8243436459379762e+08 -2.8237705807249808e+08 -2.8196472043477994e+08 -2.8103099430259091e+08 -2.7936140911843896e+08 -2.7668985609034866e+08 -2.7270151650752878e+08 -2.6704684937007755e+08 -2.5937046857639733e+08 -2.4936857412008271e+08 -2.3682335348013890e+08 -2.2166789917220446e+08 -2.0409882112779322e+08 -1.8452934818692535e+08 -1.6357846655519298e+08 -1.4198524090149686e+08 -1.2050588387472004e+08 -9.9820123269477487e+07 -8.0437233830792323e+07 -6.2712723504999377e+07 -4.6810412035020724e+07 -3.2787537602590185e+07 -2.0572177799893599e+07 -1.0065599990864694e+07 -1.1352884718865440e+06 6.3798875267825639e+06 1.2604924802548358e+07 1.7672237286628556e+07 2.1715808659123488e+07 2.4831863753215075e+07 2.7158955211982675e+07 2.8806840255347010e+07 2.9904656906508170e+07 3.0579631037669342e+07 3.0935340929228995e+07 3.1095704671830896e+07 3.1149610497446008e+07 3.1140629214948323e+07 3.1114919684134625e+07 3.1082637440033205e+07 3.1046973600487579e+07 3.1008595121383797e+07 3.0968693367620364e+07 3.0922165884687353e+07 3.0891431574728973e+07 3.0843465299740907e+07 3.0792208677299563e+07 3.0736738290505841e+07 3.0676333518919699e+07 3.0610117830203027e+07 3.0537104517993510e+07 3.0451719194927409e+07 3.0374761669446707e+07 3.0274062979717936e+07 3.0161294130749971e+07 3.0034835291969486e+07 2.9892942060489364e+07 2.9733816886885129e+07 2.9555655440370388e+07 2.9352458127008941e+07 2.9144350593975406e+07 2.8899741369674951e+07 2.8631378118985623e+07 2.8339878941114854e+07 2.8027526067386914e+07 2.7698198451511562e+07 2.7359275668980040e+07 2.7018057351729222e+07 2.6710765160917878e+07 2.6434510259185161e+07 2.6235668436095912e+07 2.6160001486650355e+07 2.6286315614350397e+07 2.6717249947839539e+07 2.7609079250325520e+07 2.9206650191733018e+07 3.1956935804546412e+07 3.6845303898352802e+08 +2.3357452484161478e+00 -2.7744877545623177e+08 -2.7739536489795846e+08 -2.7730866180020589e+08 -2.7719798401961160e+08 -2.7709166913410372e+08 -2.7703324085361683e+08 -2.7704170997424519e+08 -2.7708436074926424e+08 -2.7712840201170981e+08 -2.7716761724199611e+08 -2.7720629709384710e+08 -2.7724526405899209e+08 -2.7728402204020500e+08 -2.7732265428588510e+08 -2.7736162972338808e+08 -2.7740124495986527e+08 -2.7744192998756969e+08 -2.7748441826415837e+08 -2.7752960688262272e+08 -2.7757847234187251e+08 -2.7763210265327716e+08 -2.7769158404293966e+08 -2.7775724082017291e+08 -2.7782928629986948e+08 -2.7791456499455041e+08 -2.7801848532881194e+08 -2.7813973810139614e+08 -2.7827868828463656e+08 -2.7843741530501038e+08 -2.7861831951504648e+08 -2.7882377602036738e+08 -2.7905593135950136e+08 -2.7931644407055491e+08 -2.7960611629547948e+08 -2.7992438645986789e+08 -2.8026857732636011e+08 -2.8063290911735040e+08 -2.8100713674543011e+08 -2.8137478595348883e+08 -2.8171078363073117e+08 -2.8199441774638808e+08 -2.8213379482038504e+08 -2.8203703104359311e+08 -2.8157832621316195e+08 -2.8059041925123274e+08 -2.7885800986922252e+08 -2.7611436611709529e+08 -2.7204444190357006e+08 -2.6629910466847768e+08 -2.5852428106860089e+08 -2.4841861486972687e+08 -2.3576787349809366e+08 -2.2050965561454594e+08 -2.0284559486131743e+08 -1.8319360051545060e+08 -1.6217613515290239e+08 -1.4053401213944182e+08 -1.1902326017870931e+08 -9.8321814382376596e+07 -7.8936067618822619e+07 -6.1218313308958188e+07 -4.5329231685237758e+07 -3.1323446174445629e+07 -1.9126913475582045e+07 -8.6394249029702637e+06 2.7254353836310364e+05 7.7707930443927143e+06 1.3980659601529179e+07 1.9034679198813118e+07 2.3066888453177433e+07 2.6173402946532976e+07 2.8492667712592576e+07 3.0134254592849497e+07 3.1227116202002048e+07 3.1898194024536725e+07 3.2250781658701438e+07 3.2408575196420468e+07 3.2460252890709840e+07 3.2449183139632244e+07 3.2422000431032956e+07 3.2388232105882876e+07 3.2351052551227625e+07 3.2311086733396783e+07 3.2269547542622712e+07 3.2221286270891652e+07 3.2188775856645167e+07 3.2138838939613961e+07 3.2085473290541846e+07 3.2027716678122353e+07 3.1964818172751896e+07 3.1895864411251087e+07 3.1819827196252104e+07 3.1731073390342206e+07 3.1650405841304090e+07 3.1545520794099905e+07 3.1428058267333712e+07 3.1296330319196366e+07 3.1148519247828197e+07 3.0982751913234282e+07 3.0797148163668729e+07 3.0585625380455934e+07 3.0368316920310758e+07 3.0113475362448227e+07 2.9833881370997503e+07 2.9530179022344053e+07 2.9204746262526907e+07 2.8861624902916580e+07 2.8508504505817372e+07 2.8153146749140244e+07 2.7832525533117771e+07 2.7544706440694477e+07 2.7337551063894909e+07 2.7258894361867648e+07 2.7390553075895242e+07 2.7839549621355359e+07 2.8768801010195266e+07 3.0433669142757807e+07 3.3298839711007234e+07 3.6877968929935247e+08 +2.3407135711904061e+00 -2.7735036130582964e+08 -2.7729704222131884e+08 -2.7721049324945438e+08 -2.7710000660415357e+08 -2.7699385855037165e+08 -2.7693549209728253e+08 -2.7694388395630139e+08 -2.7698637925512505e+08 -2.7703024498062044e+08 -2.7706927195259815e+08 -2.7710773907680947e+08 -2.7714646258568102e+08 -2.7718494222043991e+08 -2.7722325482279092e+08 -2.7726186134295386e+08 -2.7730104938068730e+08 -2.7734123801344717e+08 -2.7738314698622012e+08 -2.7742765727499098e+08 -2.7747572640371674e+08 -2.7752842020756859e+08 -2.7758679882099766e+08 -2.7765115418596995e+08 -2.7772164527964646e+08 -2.7780503484870529e+08 -2.7790667978182673e+08 -2.7802523506724733e+08 -2.7816100303336269e+08 -2.7831597897966337e+08 -2.7849246283926302e+08 -2.7869271165635413e+08 -2.7891873344780070e+08 -2.7917202424117225e+08 -2.7945319566073114e+08 -2.7976146295712429e+08 -2.8009388785260171e+08 -2.8044438588941240e+08 -2.8080235749604541e+08 -2.8115091789076978e+08 -2.8146452174650162e+08 -2.8171979463077080e+08 -2.8182561987243223e+08 -2.8168928048000485e+08 -2.8118408646195799e+08 -2.8014187894372606e+08 -2.7834653671470648e+08 -2.7553071698180091e+08 -2.7137916239695686e+08 -2.6554316840640351e+08 -2.5766999597834960e+08 -2.4746075309191784e+08 -2.3470480225158960e+08 -2.1934425306289402e+08 -2.0158575299179855e+08 -1.8185186699962983e+08 -1.6076849744053143e+08 -1.3907816509836444e+08 -1.1753667660708366e+08 -9.6820145624323234e+07 -7.7432066581767052e+07 -5.9721512990796000e+07 -4.3846028795291685e+07 -2.9857630695716977e+07 -1.7680164783467833e+07 -7.2119564637336889e+06 1.6815174154335379e+06 9.1627206662123837e+06 1.5357322356696757e+07 2.0397975586507350e+07 2.4418765980385717e+07 2.7515696939264681e+07 2.9827103224655841e+07 3.1462369244432870e+07 3.2550260291074131e+07 3.3217431696093202e+07 3.3566890928925328e+07 3.3722110617986165e+07 3.3771557943720736e+07 3.3758398244366460e+07 3.3729741512213759e+07 3.3694486319766194e+07 3.3655790277017832e+07 3.3614236321947619e+07 3.3571058873810373e+07 3.3521062978487581e+07 3.3486775472018912e+07 3.3434866925574470e+07 3.3379391192653369e+07 3.3319347207758896e+07 3.3253953716872163e+07 3.3182260507371370e+07 3.3103197869934600e+07 3.3011073920182426e+07 3.2926694383984610e+07 3.2817620872440573e+07 3.2695462304680161e+07 3.2558462593200665e+07 3.2404730700144235e+07 3.2232317856747877e+07 3.2039268051977906e+07 3.1819415632116407e+07 3.1592901510752585e+07 3.1327822457982924e+07 3.1036992059969772e+07 3.0721080383322742e+07 3.0382561137264505e+07 3.0025639073001787e+07 2.9658313896275152e+07 2.9288809593398307e+07 2.8954852539967630e+07 2.8655463422367737e+07 2.8439990299323484e+07 2.8358342369605176e+07 2.8495348376997374e+07 2.8962416251430906e+07 2.9929108623133205e+07 3.1661307978179146e+07 3.4641421412586071e+07 3.6910269946905851e+08 +2.3456818939646644e+00 -2.7724520690408903e+08 -2.7719198285409009e+08 -2.7710558881518650e+08 -2.7699529137198663e+08 -2.7688931271024698e+08 -2.7683100907100844e+08 -2.7683932324514335e+08 -2.7688166223902428e+08 -2.7692535163419938e+08 -2.7696418939313120e+08 -2.7700244271785963e+08 -2.7704092155302179e+08 -2.7707912143191350e+08 -2.7711711277781045e+08 -2.7715534850761843e+08 -2.7719410717477894e+08 -2.7723379688377422e+08 -2.7727512359658772e+08 -2.7731895209287989e+08 -2.7736622082690722e+08 -2.7741797334593248e+08 -2.7747524356435645e+08 -2.7753829089767843e+08 -2.7760721971603513e+08 -2.7768871060503697e+08 -2.7778806868368518e+08 -2.7790391297679192e+08 -2.7803648289309746e+08 -2.7818768924054331e+08 -2.7835973111222392e+08 -2.7855474701673675e+08 -2.7877460592020458e+08 -2.7902064075564241e+08 -2.7929327199906498e+08 -2.7959149105182880e+08 -2.7991209790463543e+08 -2.8024870273757976e+08 -2.8059035086924106e+08 -2.8091974649869692e+08 -2.8121087181937408e+08 -2.8143768282898003e+08 -2.8150984652226681e+08 -2.8133381478011811e+08 -2.8078201152543008e+08 -2.7968538603716409e+08 -2.7782700503506517e+08 -2.7493892722744083e+08 -2.7070570013525552e+08 -2.6477906673033264e+08 -2.5680764373245999e+08 -2.4649502358480117e+08 -2.3363417873126149e+08 -2.1817173420707297e+08 -2.0031934110746735e+08 -1.8050419510071442e+08 -1.5935560164321250e+08 -1.3761774772976193e+08 -1.1604618000277415e+08 -9.5315162163558140e+07 -7.5925273918196946e+07 -5.8222363706855424e+07 -4.2360842564392313e+07 -2.8390128584799591e+07 -1.6231967579152865e+07 -5.7832291908565452e+06 3.0915997666297276e+06 1.0555637932212424e+07 1.6734881372129876e+07 2.1762095373262711e+07 2.5771410659816269e+07 2.8858715541161090e+07 3.1162231860449187e+07 3.2791154551515169e+07 3.3874059684219345e+07 3.4537314686054543e+07 3.4883639463694774e+07 3.5036281728002444e+07 3.5083496502498351e+07 3.5068245423455164e+07 3.5038113855233416e+07 3.5001371042468071e+07 3.4961157772386059e+07 3.4918014916826740e+07 3.4873198427381732e+07 3.4821467112186179e+07 3.4785401565265656e+07 3.4731520445949323e+07 3.4673933618761271e+07 3.4611601165346563e+07 3.4543711492709965e+07 3.4469277520903468e+07 3.4387188008587129e+07 3.4291692328741431e+07 3.4203598924616732e+07 3.4090334934950612e+07 3.3963478067350633e+07 3.3821204055681758e+07 3.3661548490741119e+07 3.3482486938428972e+07 3.3281987491881501e+07 3.3053801453642111e+07 3.2818077141835224e+07 3.2542755660389900e+07 3.2240683439717762e+07 3.1912556549356181e+07 3.1560944507728346e+07 3.1190215084686127e+07 3.0808678279020950e+07 3.0425020637584455e+07 3.0077721231247973e+07 2.9766756511196308e+07 2.9542961634258639e+07 2.9458321068079829e+07 2.9600676957042318e+07 3.0085824875708934e+07 3.1089976294512898e+07 3.2889539406389114e+07 3.5984651062797897e+07 3.6942207418759650e+08 +2.3506502167389227e+00 -2.7713331596850055e+08 -2.7708018772949982e+08 -2.7699394868044639e+08 -2.7688384217151636e+08 -2.7677803228419179e+08 -2.7671979067862445e+08 -2.7672802691074455e+08 -2.7677020870300269e+08 -2.7681372100668603e+08 -2.7685236861900258e+08 -2.7689040707074851e+08 -2.7692864002153915e+08 -2.7696655874406815e+08 -2.7700422722834039e+08 -2.7704209030608737e+08 -2.7708041744395214e+08 -2.7711960571620476e+08 -2.7716034723184586e+08 -2.7720349049534047e+08 -2.7724995479764664e+08 -2.7730076128605300e+08 -2.7735691752831227e+08 -2.7741865025573331e+08 -2.7748600896390373e+08 -2.7756559168573469e+08 -2.7766265153607500e+08 -2.7777577142700261e+08 -2.7790512757343781e+08 -2.7805254593064249e+08 -2.7822012433541852e+08 -2.7840988229018050e+08 -2.7862354918673474e+08 -2.7886229428779775e+08 -2.7912634629479462e+08 -2.7941447209898525e+08 -2.7972320927668422e+08 -2.8004586197715795e+08 -2.8037111980053806e+08 -2.8068127544995105e+08 -2.8094983839994079e+08 -2.8114808801923937e+08 -2.8118648180557537e+08 -2.8097064260871363e+08 -2.8037211201665556e+08 -2.7922095345843846e+08 -2.7729943048046845e+08 -2.7433901566459733e+08 -2.7002407752514434e+08 -2.6400682603259480e+08 -2.5593725498622867e+08 -2.4552146134900099e+08 -2.3255604209715775e+08 -2.1699214186627668e+08 -1.9904640488350257e+08 -1.7915063232449353e+08 -1.5793749599061763e+08 -1.3615280795638075e+08 -1.1455181715470000e+08 -9.3806909096837103e+07 -7.4415732743523061e+07 -5.6720906524734586e+07 -4.0873712100713208e+07 -2.6920977168922819e+07 -1.4782357628098901e+07 -4.3532775135047510e+06 4.5027572860412709e+06 1.1949512467526123e+07 1.8113305035578080e+07 2.3127007565052263e+07 2.7124791991944596e+07 3.0202428642661642e+07 3.2498023812202647e+07 3.4120580934915498e+07 3.5198484971035615e+07 3.5857813707006045e+07 3.6200998065387622e+07 3.6351059396425188e+07 3.6396039491305307e+07 3.6378695649413183e+07 3.6347088465697430e+07 3.6308857312744871e+07 3.6267126109777682e+07 3.6222393625725389e+07 3.6175937347322747e+07 3.6122469854295105e+07 3.6084625358354084e+07 3.6028770766320750e+07 3.5969071881212763e+07 3.5904449914018996e+07 3.5834062918626428e+07 3.5756886930925712e+07 3.5671769158293374e+07 3.5572900236734323e+07 3.5481091166462809e+07 3.5363634777762361e+07 3.5232077455579199e+07 3.5084526723781198e+07 3.4918944767993331e+07 3.4733231453997985e+07 3.4525278944096670e+07 3.4288755490332998e+07 3.4043816663190663e+07 3.3758248046197250e+07 3.3444928835953593e+07 3.3104581116775915e+07 3.2739870260444280e+07 3.2355327130445987e+07 3.1959572161480896e+07 3.1561754702596076e+07 3.1201106723742977e+07 3.0878561080468874e+07 3.0646440626361899e+07 3.0558806081247609e+07 3.0706514321349081e+07 3.1209750598895893e+07 3.2251378298898488e+07 3.4118336209102109e+07 3.7328498895306766e+07 3.6973781821850079e+08 +2.3556185395131810e+00 -2.7701468699989194e+08 -2.7696165330765849e+08 -2.7687556943628943e+08 -2.7676565624343157e+08 -2.7666001513465953e+08 -2.7660183634363115e+08 -2.7660999430471897e+08 -2.7665201790345365e+08 -2.7669535235681838e+08 -2.7673380890963089e+08 -2.7677163141526490e+08 -2.7680961727966368e+08 -2.7684725345528227e+08 -2.7688459748038203e+08 -2.7692208605594182e+08 -2.7695997951895076e+08 -2.7699866385715073e+08 -2.7703881725812733e+08 -2.7708127187124860e+08 -2.7712692773132569e+08 -2.7717678347606683e+08 -2.7723182019915152e+08 -2.7729223179178500e+08 -2.7735801260969949e+08 -2.7743567774331737e+08 -2.7753042807284427e+08 -2.7764081024694878e+08 -2.7776693701704317e+08 -2.7791054912709212e+08 -2.7807364274469721e+08 -2.7825811790096700e+08 -2.7846556389492035e+08 -2.7869698574874586e+08 -2.7895241977293050e+08 -2.7923040769455767e+08 -2.7952722400605118e+08 -2.7983586616956246e+08 -2.8014466747403407e+08 -2.8043550866874933e+08 -2.8068142629205191e+08 -2.8085101613727015e+08 -2.8085553301874954e+08 -2.8059977289537728e+08 -2.7995439881491929e+08 -2.7874859440304518e+08 -2.7676382896905047e+08 -2.7373100136826891e+08 -2.6933431723128289e+08 -2.6322647295193788e+08 -2.5505886062124592e+08 -2.4454010158463141e+08 -2.3147043167607027e+08 -2.1580551898669979e+08 -1.9776699007965255e+08 -1.7779122621809617e+08 -1.5651422871496013e+08 -1.3468339367113301e+08 -1.1305363479645464e+08 -9.2295431447778672e+07 -7.2903486089643016e+07 -5.5217182422457762e+07 -3.9384676420703895e+07 -2.5450213683448728e+07 -1.3331370605034841e+07 -2.9221357717502047e+06 5.9149567551244320e+06 1.3344311982981421e+07 1.9492561819056880e+07 2.4492681250889886e+07 2.8478879559263133e+07 3.1546806215305839e+07 3.3834449352720447e+07 3.5450618895569488e+07 3.6523506820767984e+07 3.7178899550886258e+07 3.7518937615561336e+07 3.7666414572210148e+07 3.7709157913273506e+07 3.7689719973381788e+07 3.7656636427870505e+07 3.7616916247909822e+07 3.7573666440046728e+07 3.7527343634568624e+07 3.7479246855800323e+07 3.7424042465161279e+07 3.7384418151257373e+07 3.7326589230231777e+07 3.7264777370243572e+07 3.7197864894502394e+07 3.7124979490494333e+07 3.7045060293816261e+07 3.6956912942424431e+07 3.6854669341918543e+07 3.6759142889600642e+07 3.6637492273518980e+07 3.6501232445803143e+07 3.6348402690449171e+07 3.6176891755735599e+07 3.5984523774247743e+07 3.5769114944049180e+07 3.5524250461613432e+07 3.5270092998087272e+07 3.4974272765061297e+07 3.4649701646703325e+07 3.4297127753550194e+07 3.3919312352731884e+07 3.3520949472682334e+07 3.3110970120087348e+07 3.2698986677642021e+07 3.2324984201743744e+07 3.1990852570268534e+07 3.1750402899660155e+07 3.1659773099124506e+07 3.1812836041687973e+07 3.2334168593213420e+07 3.3413288980671864e+07 3.5347671241824999e+07 3.8672935224520564e+07 3.7004993639332640e+08 +2.3605868622874393e+00 -2.7688931707837266e+08 -2.7683638040439445e+08 -2.7675045254245049e+08 -2.7664073246601832e+08 -2.7653526159129411e+08 -2.7647714551927698e+08 -2.7648522496923590e+08 -2.7652708935679507e+08 -2.7657024517104024e+08 -2.7660850976827723e+08 -2.7664611525835311e+08 -2.7668385284405035e+08 -2.7672120509213060e+08 -2.7675822306836784e+08 -2.7679533530352449e+08 -2.7683279295960838e+08 -2.7687097088272172e+08 -2.7691053327084672e+08 -2.7695229583842981e+08 -2.7699713927364600e+08 -2.7704603959301037e+08 -2.7709995129212642e+08 -2.7715903526718509e+08 -2.7722323047026759e+08 -2.7729896866261452e+08 -2.7739139825871682e+08 -2.7749902949821657e+08 -2.7762191139956230e+08 -2.7776169913995957e+08 -2.7792028681000757e+08 -2.7809945450834370e+08 -2.7830065092797518e+08 -2.7852471628731900e+08 -2.7877149389703012e+08 -2.7903929967601556e+08 -2.7932414437339461e+08 -2.7961871812168479e+08 -2.7991099732192659e+08 -2.8018245033039540e+08 -2.8040564055403584e+08 -2.8054647337612349e+08 -2.8051700771877277e+08 -2.8022121483205676e+08 -2.7952888306623977e+08 -2.7826832233380580e+08 -2.7622021668577349e+08 -2.7311490367659122e+08 -2.6863644217410016e+08 -2.6243803436979535e+08 -2.5417249174284476e+08 -2.4355097968974584e+08 -2.3037738695773277e+08 -2.1461190863973993e+08 -1.9648114253707987e+08 -1.7642602436850116e+08 -1.5508584804915515e+08 -1.3320955273495387e+08 -1.1155167960480046e+08 -9.0780774165939599e+07 -7.1388576903525218e+07 -5.3711232287748411e+07 -3.7893774448188134e+07 -2.3977875271256659e+07 -1.1879042093318988e+07 -1.4898382159335073e+06 7.3281650432775645e+06 1.4740004275689466e+07 2.0872620279345762e+07 2.5859085603290245e+07 2.9833643026781451e+07 3.2891818312415972e+07 3.5171478835742012e+07 3.6781239014847517e+07 3.7849095982800297e+07 3.8500543089493684e+07 3.8837429075383298e+07 3.8982318283720814e+07 3.9022822850784220e+07 3.9001289525777668e+07 3.8966728905087493e+07 3.8925519044251181e+07 3.8880749992981113e+07 3.8832836208230309e+07 3.8783098253740393e+07 3.8726156283903375e+07 3.8684751322490819e+07 3.8624947259671658e+07 3.8561021554327935e+07 3.8491817625632986e+07 3.8416432782205001e+07 3.8333769243857205e+07 3.8242591061860554e+07 3.8136971419415541e+07 3.8037725951237001e+07 3.7911879371766523e+07 3.7770915091111258e+07 3.7612804125024773e+07 3.7435361753902733e+07 3.7236336345481135e+07 3.7013468102251261e+07 3.6760259161614873e+07 3.6496879143868722e+07 3.6190803040039212e+07 3.5854975342787184e+07 3.5490170199701242e+07 3.5099244813091800e+07 3.4687056444289364e+07 3.4262846800909169e+07 3.3836691520599909e+07 3.3449328917451032e+07 3.3103606487891532e+07 3.2854824144780297e+07 3.2761197878221307e+07 3.2919617756698340e+07 3.3459054098765418e+07 3.4575682754437663e+07 3.6577517434372209e+07 4.0017930446098827e+07 3.7035843361109042e+08 +2.3655551850616976e+00 -2.7675721124950087e+08 -2.7670436665151376e+08 -2.7661859835536945e+08 -2.7650907039122492e+08 -2.7640377027906221e+08 -2.7634571786365968e+08 -2.7635371849759221e+08 -2.7639542282772583e+08 -2.7643839916618007e+08 -2.7647647092181408e+08 -2.7651385833462119e+08 -2.7655134645859987e+08 -2.7658841340858668e+08 -2.7662510375524306e+08 -2.7666183782365561e+08 -2.7669885755393553e+08 -2.7673652659689152e+08 -2.7677549509331608e+08 -2.7681656224337780e+08 -2.7686058929833239e+08 -2.7690852954343367e+08 -2.7696131075260395e+08 -2.7701906067309070e+08 -2.7708166259187204e+08 -2.7715546455692923e+08 -2.7724556228948539e+08 -2.7735042947283298e+08 -2.7747005112750226e+08 -2.7760599651242715e+08 -2.7776005723513645e+08 -2.7793389300605369e+08 -2.7812881140513879e+08 -2.7834548729051882e+08 -2.7858357037043476e+08 -2.7884115012150902e+08 -2.7911397290195853e+08 -2.7939442088514405e+08 -2.7967011302304333e+08 -2.7992210485934067e+08 -2.8012248649653327e+08 -2.8023446618437868e+08 -2.8017091372188091e+08 -2.7983497787384063e+08 -2.7909557618067068e+08 -2.7778015097900391e+08 -2.7566861008037472e+08 -2.7249074218941766e+08 -2.6793047552769324e+08 -2.6164153740773112e+08 -2.5327817967759565e+08 -2.4255413125675994e+08 -2.2927694759408322e+08 -2.1341135401809898e+08 -1.9518890817746583e+08 -1.7505507439973450e+08 -1.5365240222522342e+08 -1.3173133297486973e+08 -1.1004599819786109e+08 -8.9262982125497058e+07 -6.9871048046382666e+07 -5.2203096917045951e+07 -3.6401045013794079e+07 -2.2503998981979094e+07 -1.0425407584284980e+07 -5.6419006083139713e+04 8.7423491084221061e+06 1.6136557229570933e+07 2.2253449058559000e+07 2.7226189878857773e+07 3.1189052142487116e+07 3.4237435069350228e+07 3.6509082696648866e+07 3.8112411955231324e+07 3.9175223287179537e+07 3.9822715274967402e+07 4.0156443486214481e+07 4.0298741639341675e+07 4.0337005466206916e+07 4.0313375516693570e+07 4.0277337140340440e+07 4.0234636977639347e+07 4.0188348077839404e+07 4.0138842690863624e+07 4.0087462921323426e+07 4.0028782728698216e+07 3.9985596329546601e+07 3.9923816355474971e+07 3.9857775980640031e+07 3.9786279704971217e+07 3.9708394446108587e+07 3.9622985493640535e+07 3.9528775295724936e+07 3.9419778322288066e+07 3.9316812286338225e+07 3.9186768099553764e+07 3.9041097521812268e+07 3.8877703273674212e+07 3.8694327138765194e+07 3.8488641690221049e+07 3.8258311104890794e+07 3.7996754459578358e+07 3.7724148172438174e+07 3.7407812168127805e+07 3.7060723468274437e+07 3.6683682267781653e+07 3.6279641741851993e+07 3.5853622448940314e+07 3.5415176919996209e+07 3.4974844258509547e+07 3.4574116191318221e+07 3.4216798408204943e+07 3.3959680119569339e+07 3.3863056242036253e+07 3.4026835172147334e+07 3.4584382424072593e+07 3.5738534105342157e+07 3.7807847791214727e+07 4.1363455037354454e+07 3.7066331483771235e+08 +2.3705235078359559e+00 -2.7661836180898863e+08 -2.7656561517805392e+08 -2.7648000332791424e+08 -2.7637067011908573e+08 -2.7626554097664207e+08 -2.7620755330532557e+08 -2.7621547460053009e+08 -2.7625701831199813e+08 -2.7629981428933460e+08 -2.7633769232172590e+08 -2.7637486060563707e+08 -2.7641209809414792e+08 -2.7644887838617557e+08 -2.7648523953076583e+08 -2.7652159361770612e+08 -2.7655817331810397e+08 -2.7659533103161269e+08 -2.7663370277723330e+08 -2.7667407116099465e+08 -2.7671727790775979e+08 -2.7676425346244663e+08 -2.7681589875423908e+08 -2.7687230822932112e+08 -2.7693330925072610e+08 -2.7700516577048612e+08 -2.7709292059065086e+08 -2.7719501069402009e+08 -2.7731135683973032e+08 -2.7744344201894462e+08 -2.7759295495663303e+08 -2.7776143452219701e+08 -2.7795004668092287e+08 -2.7815930038017285e+08 -2.7838865113340092e+08 -2.7863596134861338e+08 -2.7889671235606503e+08 -2.7916297775497025e+08 -2.7942201850288105e+08 -2.7965447692959583e+08 -2.7983196968224019e+08 -2.7991500126575673e+08 -2.7981725910186523e+08 -2.7944107173647881e+08 -2.7865448983152008e+08 -2.7728409433140427e+08 -2.7510902586585861e+08 -2.7185853676545781e+08 -2.6721644071736580e+08 -2.6083700942681816e+08 -2.5237595597120193e+08 -2.4154959207052216e+08 -2.2816915339524162e+08 -2.1220389843469778e+08 -1.9389033299873838e+08 -1.7367842397103438e+08 -1.5221393947123608e+08 -1.3024878218274237e+08 -1.0853663713442516e+08 -8.7742100124227703e+07 -6.8350942292674869e+07 -5.0692817014558032e+07 -3.4906526853961296e+07 -2.1028621771330573e+07 -8.9705024766331855e+06 1.3780877886839090e+06 1.0157475997550108e+07 1.7533938815928482e+07 2.3635016884690747e+07 2.8593963418765642e+07 3.2545076737947270e+07 3.5583626704289868e+07 3.7847231452812187e+07 3.9444108460711673e+07 4.0501859645116538e+07 4.1145387140389599e+07 4.1475951970025532e+07 4.1615655827966847e+07 4.1651677002111748e+07 4.1625949236470483e+07 4.1588432456762828e+07 4.1544241403934576e+07 4.1496432083818778e+07 4.1445334506446056e+07 4.1392312318440072e+07 4.1331893297346212e+07 4.1286924709528312e+07 4.1223168097948007e+07 4.1155012275765739e+07 4.1081222809171394e+07 4.1000836213547878e+07 4.0912680834494188e+07 4.0815437501704820e+07 4.0703061982023992e+07 4.0596373908075824e+07 4.0462130561885670e+07 4.0311751945803188e+07 4.0143072459905483e+07 3.9953760363700718e+07 3.9741412407478444e+07 3.9503616714249462e+07 3.9233709300298698e+07 3.8951873230706096e+07 3.8625273520713843e+07 3.8266919640910216e+07 3.7877637843209386e+07 3.7460477311387099e+07 3.7020621961658992e+07 3.6567935263884790e+07 3.6113419987950675e+07 3.5699321412704058e+07 3.5330403974221379e+07 3.5064946649286464e+07 3.4965324081350811e+07 3.5134464061655626e+07 3.5710128946430951e+07 3.6901817589747459e+07 3.9038635392151631e+07 4.2709479557952426e+07 3.7096458510545903e+08 +2.3754918306102142e+00 -2.7647277589939183e+08 -2.7642012641315389e+08 -2.7633467252167881e+08 -2.7622553493555439e+08 -2.7612057597378677e+08 -2.7606265224366677e+08 -2.7607049333597749e+08 -2.7611187602239770e+08 -2.7615449071807510e+08 -2.7619217414516383e+08 -2.7622912226195145e+08 -2.7626610794782048e+08 -2.7630260023253989e+08 -2.7633863061216396e+08 -2.7637460291538280e+08 -2.7641074049465787e+08 -2.7644738444645005e+08 -2.7648515660178709e+08 -2.7652482289346236e+08 -2.7656720543206620e+08 -2.7661321171265215e+08 -2.7666371569893062e+08 -2.7671877838441819e+08 -2.7677817095092785e+08 -2.7684807287624842e+08 -2.7693347381769460e+08 -2.7703277391526794e+08 -2.7714582940513504e+08 -2.7727403666619819e+08 -2.7741898114315915e+08 -2.7758208041730905e+08 -2.7776435834376711e+08 -2.7796615741516191e+08 -2.7818673836376333e+08 -2.7842373591353375e+08 -2.7867236574152076e+08 -2.7892439226975310e+08 -2.7916671793229562e+08 -2.7937957146258730e+08 -2.7953409592406034e+08 -2.7958808557809305e+08 -2.7945605219021249e+08 -2.7903950639477688e+08 -2.7820563595399183e+08 -2.7678016664591223e+08 -2.7454148101682967e+08 -2.7121830752187908e+08 -2.6649436141872752e+08 -2.6002447802366957e+08 -2.5146585238598144e+08 -2.4053739810627839e+08 -2.2705404432785320e+08 -2.1098958531853560e+08 -1.9258546307408538e+08 -1.7229612077475756e+08 -1.5077050801048419e+08 -1.2876194811374058e+08 -1.0702364291209422e+08 -8.6218172882085755e+07 -6.6828302328913286e+07 -4.9180433191663668e+07 -3.3410258610464007e+07 -1.9551780500468101e+07 -7.5143620758100320e+06 2.8136481907421108e+06 1.1573512847312002e+07 1.8932117093981426e+07 2.5017292572127625e+07 2.9962375649385899e+07 3.3901686728833005e+07 3.6930363518666424e+07 3.9185895704195596e+07 4.0776299357349835e+07 4.1828976049505048e+07 4.2468529800155297e+07 4.2795925729996376e+07 4.2933032119437151e+07 4.2966808781996898e+07 4.2938982056123346e+07 4.2899986258056164e+07 4.2854303759560078e+07 4.2804973480494387e+07 4.2752283159319207e+07 4.2697617985240750e+07 4.2635459567852817e+07 4.2588708079472378e+07 4.2522974147221327e+07 4.2452702145923063e+07 4.2376618694469832e+07 4.2293729895321898e+07 4.2202827137173988e+07 4.2102549616614372e+07 4.1986794409035191e+07 4.1876382908269390e+07 4.1737938942090891e+07 4.1582850649146475e+07 4.1408884084983572e+07 4.1213633959379651e+07 4.0994621173271969e+07 4.0749357769205287e+07 4.0471096704689018e+07 4.0180027541143619e+07 3.9843160544054911e+07 3.9473537552673787e+07 3.9072010884931266e+07 3.8641725766784519e+07 3.8188029529287912e+07 3.7721096689930335e+07 3.7252393875564322e+07 3.6824920039942257e+07 3.6444398897360660e+07 3.6170599627310373e+07 3.6067977354782090e+07 3.6242480266864896e+07 3.6836269112324029e+07 3.8065507835440286e+07 4.0269853392608277e+07 4.4055974650234058e+07 3.7126224951238918e+08 +2.3804601533844725e+00 -2.7632044585165066e+08 -2.7626789556110537e+08 -2.7618260145824230e+08 -2.7607365985973477e+08 -2.7596887417138427e+08 -2.7591101480610251e+08 -2.7591877519776893e+08 -2.7595999638521397e+08 -2.7600242885796517e+08 -2.7603991679702985e+08 -2.7607664372279632e+08 -2.7611337644356048e+08 -2.7614957938156319e+08 -2.7618527744255847e+08 -2.7622086617181152e+08 -2.7625655955361372e+08 -2.7629268732699555e+08 -2.7632985707237923e+08 -2.7636881796980155e+08 -2.7641037242829049e+08 -2.7645540488438988e+08 -2.7650476221597570e+08 -2.7655847181467450e+08 -2.7661624842546123e+08 -2.7668418667552185e+08 -2.7676722285482407e+08 -2.7686372011871803e+08 -2.7697346992312938e+08 -2.7709778169136983e+08 -2.7723813719493741e+08 -2.7739583228564757e+08 -2.7757174821654665e+08 -2.7776606048873854e+08 -2.7797783447552758e+08 -2.7820447661086404e+08 -2.7844093630394602e+08 -2.7867866820993656e+08 -2.7890421572642773e+08 -2.7909739362730718e+08 -2.7922887128567022e+08 -2.7925372633178097e+08 -2.7908730157360661e+08 -2.7863029208310974e+08 -2.7774902674361831e+08 -2.7626838243927431e+08 -2.7396599276810288e+08 -2.7057007483090317e+08 -2.6576426155477414e+08 -2.5920397102950063e+08 -2.5054790089829347e+08 -2.3951758552593729e+08 -2.2593166051203817e+08 -2.0976845821385363e+08 -1.9127434454894754e+08 -1.7090821253361276e+08 -1.4932215605894986e+08 -1.2727087848379324e+08 -1.0550706196583772e+08 -8.4691245040226504e+07 -6.5303170752968036e+07 -4.7665985965831183e+07 -3.1912278829503845e+07 -1.8073511935347211e+07 -6.0570215933763282e+06 4.2502283145441562e+06 1.2990426884565279e+07 2.0331060211397555e+07 2.6400245022187568e+07 3.1331396082622521e+07 3.5258852115340106e+07 3.8277615897568814e+07 4.0525046133808278e+07 4.2108955553708598e+07 4.3156543575370677e+07 4.3792114450570859e+07 4.4116336050918393e+07 4.4250841865049429e+07 4.4282372210649192e+07 4.4252445427906319e+07 4.4211970029038094e+07 4.4164795561897494e+07 4.4113943818399943e+07 4.4059660234614752e+07 4.4003351542614311e+07 4.3939453198760942e+07 4.3890918137010187e+07 4.3823206243841611e+07 4.3750817377715819e+07 4.3672439197286159e+07 4.3587047382186592e+07 4.3493396352120988e+07 4.3390083656915791e+07 4.3270947693080030e+07 4.3156811457846768e+07 4.3014165502502643e+07 4.2854365996493548e+07 4.2675110628598318e+07 4.2473920534573264e+07 4.2248240741176456e+07 4.1995507185569018e+07 4.1708889770108320e+07 4.1408584402085707e+07 4.1061446759766683e+07 4.0680550970087640e+07 4.0266775425696537e+07 3.9823361426063791e+07 3.9355819770785600e+07 3.8874636126818471e+07 3.8391741158403181e+07 3.7950887601220109e+07 3.7558758957922176e+07 3.7276615015249804e+07 3.7170992089161120e+07 3.7350859697953522e+07 3.7962778437955357e+07 3.9229579542235740e+07 4.1501475024082951e+07 4.5402911039893746e+07 3.7155631322180146e+08 +2.3854284761587308e+00 -2.7616138271043849e+08 -2.7610892943123311e+08 -2.7602379485629165e+08 -2.7591505011361092e+08 -2.7581043731159240e+08 -2.7575264182842946e+08 -2.7576032100028646e+08 -2.7580138003868538e+08 -2.7584362934207892e+08 -2.7588092091149610e+08 -2.7591742563536251e+08 -2.7595390423063856e+08 -2.7598981649278671e+08 -2.7602518069159120e+08 -2.7606038406865108e+08 -2.7609563119081342e+08 -2.7613124038571191e+08 -2.7616780492116416e+08 -2.7620605714611578e+08 -2.7624677967995954e+08 -2.7629083379433650e+08 -2.7633903916188097e+08 -2.7639138942328167e+08 -2.7644754263423496e+08 -2.7651350819780374e+08 -2.7659416881440258e+08 -2.7668785051627123e+08 -2.7679427972234690e+08 -2.7691467856167221e+08 -2.7705042474368995e+08 -2.7720269195275986e+08 -2.7737221835444629e+08 -2.7755901192851549e+08 -2.7776194211903620e+08 -2.7797818647291851e+08 -2.7820242752801025e+08 -2.7842580959758574e+08 -2.7863451654469264e+08 -2.7880794883893007e+08 -2.7891630207880723e+08 -2.7891193098942661e+08 -2.7871101609406412e+08 -2.7821343929237229e+08 -2.7728467465495378e+08 -2.7574875648749375e+08 -2.7338257861245430e+08 -2.6991385931898379e+08 -2.6502616529374295e+08 -2.5837551650721848e+08 -2.4962213369688690e+08 -2.3849019067652500e+08 -2.2480204221904841e+08 -2.0854056077649331e+08 -1.8995702363864088e+08 -1.6951474699899137e+08 -1.4786893182359263e+08 -1.2577562096896024e+08 -1.0398694066677432e+08 -8.3161361159870088e+07 -6.3775590072931722e+07 -4.6149515759964019e+07 -3.0412625960990433e+07 -1.6593852745977115e+07 -4.5985161464073779e+06 5.6877943671883261e+06 1.4408185426893611e+07 2.1730736404869951e+07 2.7783843223659009e+07 3.2700994316581476e+07 3.6616542982789181e+07 3.9625354310339093e+07 4.1864653508249559e+07 4.3442048041455381e+07 4.4484533380414866e+07 4.5116112370230630e+07 4.5437154299740739e+07 4.5569056498146698e+07 4.5598338774676047e+07 4.5566310885646634e+07 4.5524355336124472e+07 4.5475688409926742e+07 4.5423314729486905e+07 4.5367437398830481e+07 4.5309484692583308e+07 4.5243845929715395e+07 4.5193526660641171e+07 4.5123836209229775e+07 4.5049329838303290e+07 4.4968656234558165e+07 4.4880760645376571e+07 4.4784360510064147e+07 4.4678011719016701e+07 4.4555494003849790e+07 4.4437631807463326e+07 4.4290782584712341e+07 4.4126270431579001e+07 4.3941724648971289e+07 4.3734592776250899e+07 4.3502243942668863e+07 4.3242037956751525e+07 4.2947061670919761e+07 4.2637517188313290e+07 4.2280105765152954e+07 4.1887933734798476e+07 4.1461905572563045e+07 4.1005358680854179e+07 4.0523967377760582e+07 4.0028528574995995e+07 3.9531437144373313e+07 3.9077199694530472e+07 3.8673460005550802e+07 3.8382968843566552e+07 3.8274344379794098e+07 3.8459578334004782e+07 3.9089632509506404e+07 4.0394007482310943e+07 4.2733473594773404e+07 4.6750259536346518e+07 3.7184678146168232e+08 +2.3903967989329891e+00 -2.7599558152952641e+08 -2.7594322390262032e+08 -2.7585825135207611e+08 -2.7574970220945030e+08 -2.7564526451934600e+08 -2.7558753422991377e+08 -2.7559513173711628e+08 -2.7563602783201253e+08 -2.7567809303019160e+08 -2.7571518735150367e+08 -2.7575146887510848e+08 -2.7578769218335658e+08 -2.7582331245040393e+08 -2.7585834125368476e+08 -2.7589315751250404e+08 -2.7592795632723683e+08 -2.7596304455969781e+08 -2.7599900110591459e+08 -2.7603654140326887e+08 -2.7607642819712496e+08 -2.7611949948547256e+08 -2.7616654761931109e+08 -2.7621753234049416e+08 -2.7627205476454043e+08 -2.7633603869947845e+08 -2.7641431303687733e+08 -2.7650516654750311e+08 -2.7660826036018819e+08 -2.7672472897435063e+08 -2.7685584565132028e+08 -2.7700266147526395e+08 -2.7716577104550761e+08 -2.7734501429591614e+08 -2.7753906417965460e+08 -2.7774486876854879e+08 -2.7795684313729370e+08 -2.7816582069514805e+08 -2.7835762528895313e+08 -2.7851124275799835e+08 -2.7859639486361992e+08 -2.7856270726385289e+08 -2.7832720484675652e+08 -2.7778895876963365e+08 -2.7681259240053523e+08 -2.7522130382486492e+08 -2.7279125629875457e+08 -2.6924968186499321e+08 -2.6428009704777816e+08 -2.5753914274957961e+08 -2.4868858317980704e+08 -2.3745525008795547e+08 -2.2366522986880288e+08 -2.0730593677179134e+08 -1.8863354662603903e+08 -1.6811577194844118e+08 -1.4641088350025830e+08 -1.2427622320319432e+08 -1.0246332532064959e+08 -8.1628565720858738e+07 -6.2245602706163444e+07 -4.4631062901451647e+07 -2.8911338357898023e+07 -1.5112839505870584e+07 -3.1388807569023664e+06 7.1263126489990521e+06 1.5826755883215856e+07 2.3131114000573229e+07 2.9168056253267448e+07 3.4071140036032379e+07 3.7974729502065025e+07 4.0973549311085016e+07 4.3204688678121567e+07 4.4775547895763107e+07 4.5812916705449946e+07 4.6440494920699306e+07 4.6758351926006436e+07 4.6887647534424543e+07 4.6914680043003581e+07 4.6880550045515627e+07 4.6837113827830203e+07 4.6786953984453969e+07 4.6733057927559480e+07 4.6675586400200576e+07 4.6615989218866013e+07 4.6548609581955448e+07 4.6496505510415748e+07 4.6424835946091846e+07 4.6348211476247728e+07 4.6265241804318406e+07 4.6174841736900225e+07 4.6075691722488545e+07 4.5966305979995921e+07 4.5840405591234207e+07 4.5718816287823424e+07 4.5567762610303797e+07 4.5398536477679536e+07 4.5208698783701390e+07 4.4995623450298913e+07 4.4756603687695049e+07 4.4488923154108576e+07 4.4185585658952586e+07 4.3866799351459473e+07 4.3499111233750500e+07 4.3095659763906717e+07 4.2657375507306382e+07 4.2187691996629789e+07 4.1692447114855267e+07 4.1182749107031807e+07 4.0671457212612614e+07 4.0203831988464095e+07 3.9788477959578216e+07 3.9489637211896919e+07 3.9378010391123660e+07 3.9568612223461494e+07 4.0216806983676776e+07 4.1558766500662252e+07 4.3965822489853911e+07 4.8097991033232629e+07 3.7213365952415854e+08 +2.3953651217072474e+00 -2.7582304486108148e+08 -2.7577078364944255e+08 -2.7568597369348347e+08 -2.7557762098477679e+08 -2.7547335879609609e+08 -2.7541569275419086e+08 -2.7542320851400435e+08 -2.7546394082088429e+08 -2.7550582100614190e+08 -2.7554271720953500e+08 -2.7557877454251713e+08 -2.7561474140157300e+08 -2.7565006836298704e+08 -2.7568476024825585e+08 -2.7571918763498682e+08 -2.7575353610910934e+08 -2.7578810101226276e+08 -2.7582344680896354e+08 -2.7586027194825584e+08 -2.7589931921422458e+08 -2.7594140322677952e+08 -2.7598728889694470e+08 -2.7603690192232251e+08 -2.7608978622960711e+08 -2.7615177966400009e+08 -2.7622765708969700e+08 -2.7631566987992638e+08 -2.7641541362265635e+08 -2.7652793485496300e+08 -2.7665440200922877e+08 -2.7679574314117682e+08 -2.7695240880945987e+08 -2.7712407038545936e+08 -2.7730920377680397e+08 -2.7750452700240964e+08 -2.7770418709353954e+08 -2.7789870600527638e+08 -2.7807354710317981e+08 -2.7820728128921384e+08 -2.7826915644706625e+08 -2.7820606311824924e+08 -2.7793587717927623e+08 -2.7735686151705909e+08 -2.7633279294913316e+08 -2.7468603974212199e+08 -2.7219204383238286e+08 -2.6857756359737247e+08 -2.6352608147041327e+08 -2.5669487827665415e+08 -2.4774728195225736e+08 -2.3641280046937284e+08 -2.2252126402707544e+08 -2.0606463007199121e+08 -1.8730395985977158e+08 -1.6671133518400502e+08 -1.4494805927205887e+08 -1.2277273277697299e+08 -1.0093626216683149e+08 -8.0092903120906994e+07 -6.0713250978406079e+07 -4.3110667621407270e+07 -2.7408454275510859e+07 -1.3630508691315049e+07 -1.6781503511704360e+06 8.5657495540742688e+06 1.7246105754291214e+07 2.4532161414780043e+07 3.0552853276257776e+07 3.5441803012955032e+07 3.9333381930203691e+07 4.2322171539100736e+07 4.4545122578641511e+07 4.6109426275820531e+07 4.7141664874964766e+07 4.7765233546775728e+07 4.8079900462396510e+07 4.8206586572541215e+07 4.8231367667316779e+07 4.8195134606196120e+07 4.8150217235176474e+07 4.8098564048901841e+07 4.8043145208790198e+07 4.7984079069214955e+07 4.7922836987444766e+07 4.7853716058727220e+07 4.7799826628284164e+07 4.7726177439034306e+07 4.7647434321623601e+07 4.7562167986139484e+07 4.7469262790278248e+07 4.7367362181980558e+07 4.7254938697878718e+07 4.7125654786080644e+07 4.7000337310154855e+07 4.6845078080980316e+07 4.6671136738038160e+07 4.6476005749939524e+07 4.6256985401905075e+07 4.6011292965066038e+07 4.5736135927326903e+07 4.5424435063872360e+07 4.5096404420440949e+07 4.4718436915785380e+07 4.4303703050508559e+07 4.3853159486917183e+07 4.3370335913148016e+07 4.2861233820213422e+07 4.2337272868132338e+07 4.1811776814014114e+07 4.1330760222315662e+07 4.0903788809419774e+07 4.0596596289517194e+07 4.0481966356944375e+07 4.0677937484486088e+07 4.1344277587991871e+07 4.2723831515482761e+07 4.5198495172019586e+07 4.9446076509016886e+07 3.7241695276494795e+08 +2.4003334444815057e+00 -2.7564376947116143e+08 -2.7559161015581560e+08 -2.7550696108901203e+08 -2.7539880540162474e+08 -2.7529472038252026e+08 -2.7523711859624767e+08 -2.7524455257280290e+08 -2.7528512026753139e+08 -2.7532681457796770e+08 -2.7536351180456895e+08 -2.7539934396256995e+08 -2.7543505320943254e+08 -2.7547008556415582e+08 -2.7550443901900238e+08 -2.7553847579185921e+08 -2.7557237190681756e+08 -2.7560641112965429e+08 -2.7564114343763912e+08 -2.7567725021211696e+08 -2.7571545419134188e+08 -2.7575654651112252e+08 -2.7580126452846044e+08 -2.7584949975027168e+08 -2.7590073866883212e+08 -2.7596073280088365e+08 -2.7603420276694578e+08 -2.7611936240781873e+08 -2.7621574152297306e+08 -2.7632429835744947e+08 -2.7644609613785541e+08 -2.7658193946787286e+08 -2.7673213439703149e+08 -2.7689618322343969e+08 -2.7707236426361901e+08 -2.7725716491439861e+08 -2.7744446359415269e+08 -2.7762447026896280e+08 -2.7778228737237054e+08 -2.7789607058093971e+08 -2.7793459388224751e+08 -2.7784200676385808e+08 -2.7753704269055170e+08 -2.7691715878961539e+08 -2.7584528952414590e+08 -2.7414297978548259e+08 -2.7158495947053283e+08 -2.6789752589369193e+08 -2.6276414345469293e+08 -2.5584275183415055e+08 -2.4679826282394776e+08 -2.3536287870799038e+08 -2.2137018540376085e+08 -2.0481668465420365e+08 -1.8596830975062162e+08 -1.6530148452965108e+08 -1.4348050730700791e+08 -1.2126519723542772e+08 -9.9405797376287833e+07 -7.8554417674219102e+07 -5.9178577122770749e+07 -4.1588370053925402e+07 -2.5904011870663080e+07 -1.2146896680812787e+07 -2.1635975924636709e+05 1.0006071570870485e+07 1.8666202633218862e+07 2.5933847154257864e+07 3.1938203546828561e+07 3.6812953106888287e+07 4.0692470610685401e+07 4.3671191719370209e+07 4.5885926229942851e+07 4.7443654425329387e+07 4.8470749297469631e+07 4.9090299777064823e+07 4.9401771525129899e+07 4.9525845294504136e+07 4.9548373382586330e+07 4.9510036349470459e+07 4.9463637372212484e+07 4.9410490449541822e+07 4.9353548452194735e+07 4.9292887319141030e+07 4.9229999946737230e+07 4.9159137345830485e+07 4.9103462038593888e+07 4.9027832754829809e+07 4.8946970486739904e+07 4.8859406941545032e+07 4.8763996020812079e+07 4.8659344162955344e+07 4.8543882212162793e+07 4.8411214000361733e+07 4.8282167366834544e+07 4.8122701579292148e+07 4.7944043896469876e+07 4.7743618345095515e+07 4.7518651555964530e+07 4.7266284842894927e+07 4.6983649505033292e+07 4.6663583293677285e+07 4.6326306001930751e+07 4.5938056638539307e+07 4.5512037664051011e+07 4.5049231843950383e+07 4.4553265045146905e+07 4.4030302405863754e+07 4.3492075076422565e+07 4.2952371471546881e+07 4.2457960206764795e+07 4.2019368615116224e+07 4.1703822315577969e+07 4.1586188580807008e+07 4.1787530305403411e+07 4.2472020121324077e+07 4.3889177518775001e+07 4.6431465181871749e+07 5.0794487027325124e+07 3.7269666660281593e+08 +2.4053017672557639e+00 -2.7545776245377266e+08 -2.7540570262007302e+08 -2.7532121555290931e+08 -2.7521325974407434e+08 -2.7510935046710408e+08 -2.7505181341956139e+08 -2.7505916536240262e+08 -2.7509956765335202e+08 -2.7514107527639037e+08 -2.7517757268160075e+08 -2.7521317868249816e+08 -2.7524862915582693e+08 -2.7528336560946691e+08 -2.7531737913374013e+08 -2.7535102356208807e+08 -2.7538446531401110e+08 -2.7541797652290428e+08 -2.7545209262286222e+08 -2.7548747785022026e+08 -2.7552483481206721e+08 -2.7556493105673933e+08 -2.7560847627180785e+08 -2.7565532763069624e+08 -2.7570491394607735e+08 -2.7576290004433256e+08 -2.7583395208790344e+08 -2.7591624625197476e+08 -2.7600924630108929e+08 -2.7611382186366910e+08 -2.7623093058632505e+08 -2.7636125320230520e+08 -2.7650495078901273e+08 -2.7666135606803125e+08 -2.7682854922619110e+08 -2.7700278647927892e+08 -2.7717767707428032e+08 -2.7734311846576530e+08 -2.7748385172226185e+08 -2.7757761702409089e+08 -2.7759271446668190e+08 -2.7747054666036290e+08 -2.7713071122975439e+08 -2.7646986209500396e+08 -2.7535009560315013e+08 -2.7359213975408542e+08 -2.7097002172237575e+08 -2.6720959037763742e+08 -2.6199430813121048e+08 -2.5498279239045534e+08 -2.4584155880759773e+08 -2.3430552186568561e+08 -2.2021203484909669e+08 -2.0356214459728983e+08 -1.8462664277051604e+08 -1.6388626782918361e+08 -1.4200827575685301e+08 -1.1975366407709222e+08 -9.7871977051010892e+07 -7.7013153610533282e+07 -5.7641623278844185e+07 -4.0064210235125080e+07 -2.4398049201140027e+07 -1.0662039754386321e+07 1.2464562856985512e+06 1.1447245282723324e+07 2.0087014206064090e+07 2.7336139816957250e+07 3.3324076408718940e+07 3.8184560265574142e+07 4.2051965974228531e+07 4.5020580663105480e+07 4.7227070737781413e+07 4.8778203672969081e+07 4.9800141466112353e+07 5.0415665224490620e+07 5.0723936814491384e+07 5.0845395466342561e+07 5.0865669007406563e+07 5.0825227140791997e+07 5.0777346136502400e+07 5.0722705115956098e+07 5.0664239620039023e+07 5.0601983146329433e+07 5.0537450128394179e+07 5.0464845512060799e+07 5.0407383848526254e+07 5.0329774043036081e+07 5.0246792166435882e+07 5.0156930914602682e+07 5.0059013726141758e+07 4.9951610021797694e+07 4.9833108944290362e+07 4.9697055727855094e+07 4.9564279031538159e+07 4.9400605769039422e+07 4.9217230717510395e+07 4.9011509447009444e+07 4.8780594917612083e+07 4.8521552469059765e+07 4.8231437195079200e+07 4.7903003835150912e+07 4.7556477780761138e+07 4.7157944306826040e+07 4.6720637750742115e+07 4.6245566987044357e+07 4.5736454082315244e+07 4.5199627858162351e+07 4.4647131023502730e+07 4.4093216780665949e+07 4.3585407824053876e+07 4.3135193507451169e+07 4.2811291599687666e+07 4.2690653436448410e+07 4.2897366945070185e+07 4.3600010454165384e+07 4.5054779576443844e+07 4.7664706138423838e+07 5.2143193737511985e+07 3.7297280651903045e+08 +2.4102700900300222e+00 -2.7526502401725078e+08 -2.7521306272318494e+08 -2.7512873815276670e+08 -2.7502098509825289e+08 -2.7491725044744176e+08 -2.7485977916905832e+08 -2.7486704859630877e+08 -2.7490728470177859e+08 -2.7494860485581630e+08 -2.7498490160798591e+08 -2.7502028046961254e+08 -2.7505547101389897e+08 -2.7508991027885300e+08 -2.7512358238308829e+08 -2.7515683274864805e+08 -2.7518981814780724e+08 -2.7522279902555603e+08 -2.7525629621851951e+08 -2.7529095674109769e+08 -2.7532746298360753e+08 -2.7536655880520332e+08 -2.7540892610944194e+08 -2.7545438759400773e+08 -2.7550231415025640e+08 -2.7555828355438519e+08 -2.7562690729779738e+08 -2.7570632375850290e+08 -2.7579593042379546e+08 -2.7589650798214257e+08 -2.7600890813112468e+08 -2.7613368731976414e+08 -2.7627086119598383e+08 -2.7641959240810204e+08 -2.7657776248273742e+08 -2.7674139590476006e+08 -2.7690383220329636e+08 -2.7705465581253409e+08 -2.7717824601741713e+08 -2.7725192725124907e+08 -2.7724352574255621e+08 -2.7709169151298040e+08 -2.7671689289482319e+08 -2.7601498319156575e+08 -2.7484722491502523e+08 -2.7303353570022738e+08 -2.7034724934687459e+08 -2.6651377891772160e+08 -2.6121660086548582e+08 -2.5411502913512835e+08 -2.4487720311617696e+08 -2.3324076717695996e+08 -2.1904685335246596e+08 -2.0230105407960257e+08 -1.8327900544946867e+08 -1.6246573294448492e+08 -1.4053141275458670e+08 -1.1823818075209460e+08 -9.6334847222164527e+07 -7.5469155073953614e+07 -5.6102431491682060e+07 -3.8538228102544121e+07 -2.2890604224894721e+07 -9.1759740929633826e+06 2.7102631479328563e+06 1.2889237368434230e+07 2.1508508252283771e+07 2.8739008092328522e+07 3.4710441295605034e+07 3.9556594525486670e+07 4.3411838538960397e+07 4.6370309268210188e+07 4.8568527293878593e+07 5.0113045432740793e+07 5.1129812959071442e+07 5.1741301586694837e+07 5.2046368115245305e+07 5.2165208938229270e+07 5.2183226444678493e+07 5.2140678929638647e+07 5.2091315509542190e+07 5.2035180061766312e+07 5.1975190758417703e+07 5.1911338630893067e+07 5.1845159647611253e+07 5.1770812709564634e+07 5.1711564248715550e+07 5.1631973536464445e+07 5.1546871638703302e+07 5.1454712232161455e+07 5.1354288286540963e+07 5.1244132197564259e+07 5.1122591398117125e+07 5.0983152544447251e+07 5.0846644960032247e+07 5.0678763395556316e+07 5.0490670047262952e+07 5.0279652014645629e+07 5.0042788572586641e+07 4.9777069071701311e+07 4.9479472385165110e+07 4.9142670254266612e+07 4.8786893520404577e+07 4.8378073903416432e+07 4.7929477534125969e+07 4.7442139401200309e+07 4.6919877790075354e+07 4.6369185238139838e+07 4.5802416074733987e+07 4.5234288409703657e+07 4.4713079028488904e+07 4.4251239688689008e+07 4.3918980522245161e+07 4.3795337368319586e+07 4.4007423733222254e+07 4.4728224529136270e+07 4.6220612828929633e+07 4.8898191739469118e+07 5.3492167875176817e+07 3.7324537805682099e+08 +2.4152384128042805e+00 -2.7506555408913291e+08 -2.7501369381865740e+08 -2.7492953230410558e+08 -2.7482198039226472e+08 -2.7471842305071825e+08 -2.7466101800964504e+08 -2.7466820423250568e+08 -2.7470827339526653e+08 -2.7474940529728937e+08 -2.7478550057072759e+08 -2.7482065131041664e+08 -2.7485558078008348e+08 -2.7488972157421917e+08 -2.7492305078004658e+08 -2.7495590537561357e+08 -2.7498843244725901e+08 -2.7502088069394594e+08 -2.7505375630138040e+08 -2.7508768898603737e+08 -2.7512334083648747e+08 -2.7516143192088491e+08 -2.7520261624673688e+08 -2.7524668189402443e+08 -2.7529294159335899e+08 -2.7534688571443504e+08 -2.7541307086574119e+08 -2.7548959749930447e+08 -2.7557579658302391e+08 -2.7567235954773062e+08 -2.7578003177554542e+08 -2.7589924502364665e+08 -2.7602986905741096e+08 -2.7617089596255362e+08 -2.7632000808277494e+08 -2.7647299763192606e+08 -2.7662293388567615e+08 -2.7675908776244110e+08 -2.7686547636087620e+08 -2.7691900813530403e+08 -2.7688703549468720e+08 -2.7670545027320832e+08 -2.7629559803149056e+08 -2.7555253408794361e+08 -2.7433669144033945e+08 -2.7246718392561352e+08 -2.6971666135133278e+08 -2.6581011362503120e+08 -2.6043104725713593e+08 -2.5323949147633716e+08 -2.4390522915953791e+08 -2.3216865204673937e+08 -2.1787468203924417e+08 -2.0103345737722886e+08 -1.8192544437364212e+08 -1.6103992775285742e+08 -1.3904996641295731e+08 -1.1671879466046362e+08 -9.4794453848960087e+07 -7.3922466121625900e+07 -5.4561043711103454e+07 -3.7010463494197987e+07 -2.1381714799384914e+07 -7.6887357777682822e+06 4.1750262897418248e+06 1.4332014602768529e+07 2.2930652645308509e+07 3.0142420762007430e+07 3.6097267731716007e+07 4.0929026012114190e+07 4.4772058911168806e+07 4.7720348519665115e+07 4.9910267176261924e+07 5.1448151204808526e+07 5.2459735439990483e+07 5.3067180646486588e+07 5.3369037297241338e+07 5.3485257645206727e+07 5.3501017681854293e+07 5.3456363749941260e+07 5.3405517557211868e+07 5.3347887384768374e+07 5.3286373997561209e+07 5.3220925937059872e+07 5.3153100703509837e+07 5.3077011174514376e+07 5.3015975513401099e+07 5.2934403551467717e+07 5.2847181264969520e+07 5.2752723304607563e+07 5.2649792165628254e+07 5.2536883212284617e+07 5.2412302160286687e+07 5.2269477108673640e+07 5.2129237890352666e+07 5.1957147286435388e+07 5.1764334813434914e+07 5.1548019088378377e+07 5.1305205687723376e+07 5.1032807959612451e+07 5.0727728543010481e+07 5.0382556196596913e+07 5.0017527063310660e+07 4.9598419489503786e+07 4.9138531315347403e+07 4.8638923648362607e+07 4.8103511009844311e+07 4.7538949681984499e+07 4.6957905669675454e+07 4.6375562100337297e+07 4.5840949846842445e+07 4.5367483432627723e+07 4.5026865534713537e+07 4.4900216891611293e+07 4.5117677070943765e+07 4.5856638361337237e+07 4.7386652491674222e+07 5.0131895762001015e+07 5.4841380762527794e+07 3.7351438682083791e+08 +2.4202067355785388e+00 -2.7485935460235012e+08 -2.7480759568126047e+08 -2.7472359931062329e+08 -2.7461625093153858e+08 -2.7451287145828092e+08 -2.7445553185116315e+08 -2.7446263441086322e+08 -2.7450253596909326e+08 -2.7454347881065923e+08 -2.7457937177498996e+08 -2.7461429341083938e+08 -2.7464896067401451e+08 -2.7468280171940076e+08 -2.7471578656022179e+08 -2.7474824368976414e+08 -2.7478031047337985e+08 -2.7481222380595195e+08 -2.7484447517024982e+08 -2.7487767690838712e+08 -2.7491247072259408e+08 -2.7494955279074836e+08 -2.7498954911157966e+08 -2.7503221300761390e+08 -2.7507679881114215e+08 -2.7512870913160491e+08 -2.7519244548548591e+08 -2.7526607026973850e+08 -2.7534884769582301e+08 -2.7544137962042749e+08 -2.7554430475012207e+08 -2.7565792974408960e+08 -2.7578197804105300e+08 -2.7591527067930621e+08 -2.7605529030647486e+08 -2.7619759633370012e+08 -2.7633498725941539e+08 -2.7645642000392383e+08 -2.7654554909343833e+08 -2.7657886678933871e+08 -2.7652325174956840e+08 -2.7631183213616568e+08 -2.7586683723208243e+08 -2.7508252704006302e+08 -2.7381850940849841e+08 -2.7189310098138988e+08 -2.6907827698941809e+08 -2.6509861685210165e+08 -2.5963767313692984e+08 -2.5235620903899533e+08 -2.4292567054372418e+08 -2.3108921404711369e+08 -2.1669556216829541e+08 -1.9975939886049992e+08 -1.8056600618260610e+08 -1.5960890014555278e+08 -1.3756398482249069e+08 -1.1519555315104957e+08 -9.3250842817338675e+07 -7.2373130723204851e+07 -5.3017501790525280e+07 -3.5480956147888787e+07 -1.9871418680954732e+07 -6.2003607897181911e+06 5.6407112719959719e+06 1.5775543857029064e+07 2.4353415353036959e+07 3.1546346700128574e+07 3.7484525332205378e+07 4.2301824940635070e+07 4.6132597785445146e+07 4.9070669490119018e+07 5.1252261750014566e+07 5.2783492575476162e+07 5.3789880658568114e+07 5.4393274272403494e+07 5.4691916315550640e+07 5.4805513607610732e+07 5.4819014791516483e+07 5.4772253720650144e+07 5.4719924430328518e+07 5.4660799267528616e+07 5.4597761552405097e+07 5.4530717313495800e+07 5.4461245579703011e+07 5.4383413227279395e+07 5.4320590001129627e+07 5.4237036488581076e+07 5.4147693490695611e+07 5.4050936625985518e+07 5.3945497910595588e+07 5.3829835671561405e+07 5.3702213900673851e+07 5.3556002162136696e+07 5.3412030643428311e+07 5.3235730351747058e+07 5.3038198026168242e+07 5.2816583790495157e+07 5.2567819511468582e+07 5.2288742522637159e+07 5.1976179217066064e+07 5.1622635387848444e+07 5.1248352331494547e+07 5.0818955204929829e+07 5.0347773473538294e+07 4.9835894367710829e+07 4.9287328659580775e+07 4.8708896401478574e+07 4.8113575322577834e+07 4.7517013667957500e+07 4.6968996378659613e+07 4.6483901085236922e+07 4.6134923160211883e+07 4.6005268593065806e+07 4.6228103430953287e+07 4.6985228038699061e+07 4.8552873855219118e+07 5.1365792062793896e+07 5.6190803808820531e+07 3.7377983847661525e+08 +2.4251750583527971e+00 -2.7464643395505702e+08 -2.7459477448795128e+08 -2.7451094134250867e+08 -2.7440379638063037e+08 -2.7430059665677661e+08 -2.7424332294250089e+08 -2.7425034150364268e+08 -2.7429007488257581e+08 -2.7433082783479500e+08 -2.7436651764249474e+08 -2.7440120919520795e+08 -2.7443561313724047e+08 -2.7446915315945005e+08 -2.7450179217953348e+08 -2.7453385015839285e+08 -2.7456545470809245e+08 -2.7459683086108840e+08 -2.7462845534505224e+08 -2.7466092305321789e+08 -2.7469485521636748e+08 -2.7473092402361786e+08 -2.7476972735414839e+08 -2.7481098363368952e+08 -2.7485388856148458e+08 -2.7490375663580620e+08 -2.7496503407347387e+08 -2.7503574508905089e+08 -2.7511508690320730e+08 -2.7520357148576438e+08 -2.7530173050972283e+08 -2.7540974513803881e+08 -2.7552719204188973e+08 -2.7565272073541462e+08 -2.7578361366350132e+08 -2.7591519691450900e+08 -2.7603999769571519e+08 -2.7614665846057624e+08 -2.7621847079256314e+08 -2.7623151056479597e+08 -2.7615218277505720e+08 -2.7591084654058129e+08 -2.7543062133417594e+08 -2.7460497455190742e+08 -2.7329269329685462e+08 -2.7131130366605496e+08 -2.6843211575972244e+08 -2.6437931118990326e+08 -2.5883650456413764e+08 -2.5146521166165233e+08 -2.4193856106768289e+08 -2.3000249091605377e+08 -2.1550953512974313e+08 -1.9847892299228501e+08 -1.7920073756751421e+08 -1.5817269802516264e+08 -1.3607351604965377e+08 -1.1366850351935513e+08 -9.1704059938676015e+07 -7.0821192759212106e+07 -5.1471847486169934e+07 -3.3949745700454049e+07 -1.8359753524064112e+07 -4.7108850087906001e+06 7.1072837547169281e+06 1.7219792099605408e+07 2.5776764438356638e+07 3.2950754874013387e+07 3.8872183803694770e+07 4.3674961616260022e+07 4.7493425945607930e+07 5.0421243340226620e+07 5.2594482467575654e+07 5.4119041218039356e+07 5.5120220450833485e+07 5.5719554419040501e+07 5.6014977211354420e+07 5.6125948931379639e+07 5.6137189931805193e+07 5.6088321046039172e+07 5.6034508364887707e+07 5.5973887977873832e+07 5.5909325723046809e+07 5.5840685094038695e+07 5.5769566644758329e+07 5.5689991273099117e+07 5.5625380155209504e+07 5.5539844832899854e+07 5.5448380845643908e+07 5.5349324774680436e+07 5.5241378152799986e+07 5.5122962264749229e+07 5.4992299372986317e+07 5.4842700529855125e+07 5.4694996123415701e+07 5.4514485584529027e+07 5.4312232778154790e+07 5.4085319325671732e+07 5.3830603374015115e+07 5.3544846232103892e+07 5.3224798036732532e+07 5.2862881634148806e+07 5.2479343326794893e+07 5.2039655268961526e+07 5.1557178466476336e+07 5.1033026276161447e+07 5.0471305733808585e+07 4.9879000684235983e+07 4.9269400622662060e+07 4.8658619001942009e+07 4.8097194796776623e+07 4.7600469064961709e+07 4.7243129993674703e+07 4.7110469131040044e+07 4.7338679358153246e+07 4.8113969722419217e+07 4.9719252286006860e+07 5.2599854578549467e+07 5.7540408511068895e+07 3.7404173875003308e+08 +2.4301433811270554e+00 -2.7442678684589195e+08 -2.7437522877618521e+08 -2.7429156363847023e+08 -2.7418462258889973e+08 -2.7408160133041668e+08 -2.7402439392616129e+08 -2.7403132820905364e+08 -2.7407089278869069e+08 -2.7411145503550190e+08 -2.7414694081252050e+08 -2.7418140130811846e+08 -2.7421554083233339e+08 -2.7424877856052303e+08 -2.7428107031537741e+08 -2.7431272746951336e+08 -2.7434386785382384e+08 -2.7437470457880318e+08 -2.7440569956675303e+08 -2.7443743018631333e+08 -2.7447049711236304e+08 -2.7450554844922626e+08 -2.7454315384536654e+08 -2.7458299669256771e+08 -2.7462421382404721e+08 -2.7467203127883875e+08 -2.7473083976813924e+08 -2.7479862519987756e+08 -2.7487451756980932e+08 -2.7495893865289503e+08 -2.7505231273506701e+08 -2.7515469508819753e+08 -2.7526551518141448e+08 -2.7538325053508228e+08 -2.7550498289310449e+08 -2.7562580450855720e+08 -2.7573797079707718e+08 -2.7582980928939945e+08 -2.7588424827117467e+08 -2.7587694705105227e+08 -2.7577383707832283e+08 -2.7550250316777265e+08 -2.7498696141984582e+08 -2.7411988937283939e+08 -2.7275925782896358e+08 -2.7072180902390558e+08 -2.6777819740333167e+08 -2.6365221946693674e+08 -2.5802756782640606e+08 -2.5056652939554027e+08 -2.4094393472113943e+08 -2.2890852055364758e+08 -2.1431664244232193e+08 -1.9719207432550719e+08 -1.7782968526861349e+08 -1.5673136930395409e+08 -1.3457860813536328e+08 -1.1213769300664528e+08 -9.0154150948519632e+07 -6.9266696020344645e+07 -4.9924122456264615e+07 -3.2416871686944820e+07 -1.6846756880676053e+07 -3.2203442134336745e+06 8.5747094976201840e+06 1.8664726396401238e+07 2.7200668059645507e+07 3.4355614344543383e+07 4.0260212944748893e+07 4.5048406434796892e+07 4.8854514264670663e+07 5.1772041319271430e+07 5.3936900869140916e+07 5.5454768892902389e+07 5.6450726739729114e+07 5.7045993127606876e+07 5.7338192111998208e+07 5.7446535808699518e+07 5.7455515346775815e+07 5.7404538016355045e+07 5.7349241682808310e+07 5.7287125869280487e+07 5.7221038895024091e+07 5.7150801697857186e+07 5.7078036352499783e+07 5.6996717802467413e+07 5.6930318503919847e+07 5.6842801154418372e+07 5.6749215944591634e+07 5.6647860413753942e+07 5.6537405608063400e+07 5.6416235765704028e+07 5.6282531415078305e+07 5.6129545120939530e+07 5.5978107318142802e+07 5.5793386061227798e+07 5.5586412245213784e+07 5.5354198981251292e+07 5.5093530688100100e+07 5.4801092641327523e+07 5.4473558712891757e+07 5.4103268822590806e+07 5.3710474131326042e+07 5.3260493980338588e+07 5.2766720830740131e+07 5.2230294168611392e+07 5.1655417304589383e+07 5.1049237894270748e+07 5.0425357234488674e+07 4.9800354066250749e+07 4.9225521347573556e+07 4.8717163863035463e+07 4.8351462702398814e+07 4.8215795235960536e+07 4.8449381469772123e+07 4.9242839647311553e+07 5.0885763226350382e+07 5.3834057326620363e+07 5.8890166454138838e+07 3.7430009342678475e+08 +2.4351117039013137e+00 -2.7420042465281153e+08 -2.7414896666294312e+08 -2.7406546533384544e+08 -2.7395872894529867e+08 -2.7385588881678659e+08 -2.7379874784093553e+08 -2.7380559751408988e+08 -2.7384499252535415e+08 -2.7388536329844511e+08 -2.7392064414203811e+08 -2.7395487261364943e+08 -2.7398874664155698e+08 -2.7402168080819249e+08 -2.7405362386363590e+08 -2.7408487853062314e+08 -2.7411555283239615e+08 -2.7414584789890784e+08 -2.7417621079567283e+08 -2.7420720129293782e+08 -2.7423939942574763e+08 -2.7427342911817318e+08 -2.7430983167734367e+08 -2.7434825532608163e+08 -2.7438777780002517e+08 -2.7443353633466470e+08 -2.7448986593119854e+08 -2.7455471406688589e+08 -2.7462714328313863e+08 -2.7470748485460025e+08 -2.7479605533010066e+08 -2.7489278370204645e+08 -2.7499695180719876e+08 -2.7510686471006310e+08 -2.7521940296242207e+08 -2.7532942448067397e+08 -2.7542891239778769e+08 -2.7550587888027364e+08 -2.7554288857712102e+08 -2.7551518407429826e+08 -2.7538822340610802e+08 -2.7508681193877512e+08 -2.7453586881370783e+08 -2.7362728449667943e+08 -2.7221821797426784e+08 -2.7012463434336460e+08 -2.6711654190329146e+08 -2.6291736474730691e+08 -2.5721088943578756e+08 -2.4966019250174180e+08 -2.3994182568203682e+08 -2.2780734102096641e+08 -2.1311692575114712e+08 -1.9589889750052130e+08 -1.7645289607309082e+08 -1.5528496190161261e+08 -1.3307930909255305e+08 -1.1060316879769635e+08 -8.8601161505159840e+07 -6.7709684206286311e+07 -4.8374368260031007e+07 -3.0882373539890468e+07 -1.5332466199601270e+07 -1.7287740799719580e+06 1.0042954360699536e+07 2.0110313911484838e+07 2.8625094471261688e+07 3.5760894266660735e+07 4.1648582646356910e+07 4.6422129883091085e+07 5.0215833705702640e+07 5.3123034765433908e+07 5.5279488583236948e+07 5.6790647448319629e+07 5.7781371535482161e+07 5.8372562526256658e+07 5.8661533231679104e+07 5.8767246518211357e+07 5.8773963367082819e+07 5.8720877008007169e+07 5.8664096792061225e+07 5.8600485381356023e+07 5.8532873539973564e+07 5.8461039630077519e+07 5.8386627242593341e+07 5.8303565391451702e+07 5.8235377661153547e+07 5.8145878108644426e+07 5.8050171487437837e+07 5.7946516291425534e+07 5.7833553077203415e+07 5.7709629033027902e+07 5.7572882949283749e+07 5.7416508928684689e+07 5.7261337299571872e+07 5.7072404942192130e+07 5.6860709686764255e+07 5.6623196127816521e+07 5.6356574949165434e+07 5.6057455385975435e+07 5.5722435038277023e+07 5.5343770921491869e+07 5.4941718907983027e+07 5.4481445717965148e+07 5.3976375182225488e+07 5.3427672918635748e+07 5.2839638521420628e+07 5.2219583472247012e+07 5.1581420898512244e+07 5.0942194899581999e+07 5.0353952351393811e+07 4.9833962043850131e+07 4.9459898026283681e+07 4.9321223710806698e+07 4.9560186455912620e+07 5.0371814122242779e+07 5.2052382195240445e+07 5.5068374405193739e+07 6.0240049311513335e+07 3.7455490835184330e+08 +2.4400800266755720e+00 -2.7396733905543363e+08 -2.7391598697881311e+08 -2.7383265157963151e+08 -2.7372612056508100e+08 -2.7362346247071236e+08 -2.7356638789706236e+08 -2.7357315254766595e+08 -2.7361237713452888e+08 -2.7365255572042680e+08 -2.7368763070717454e+08 -2.7372162619698912e+08 -2.7375523366443473e+08 -2.7378786300692278e+08 -2.7381945594018167e+08 -2.7385030646859872e+08 -2.7388051278545183e+08 -2.7391026398026651e+08 -2.7393999221201766e+08 -2.7397023957871741e+08 -2.7400156539138341e+08 -2.7403456929984456e+08 -2.7406976416196144e+08 -2.7410676289516598e+08 -2.7414458391033041e+08 -2.7418827529693389e+08 -2.7424211614407003e+08 -2.7430401537619942e+08 -2.7437296785260308e+08 -2.7444921404605037e+08 -2.7453296242320734e+08 -2.7462401531088209e+08 -2.7472150649218559e+08 -2.7482356811756486e+08 -2.7492687906574243e+08 -2.7502606242367494e+08 -2.7511282856221378e+08 -2.7517487385536128e+08 -2.7519439899227208e+08 -2.7514622969608217e+08 -2.7499535074198669e+08 -2.7466378301586801e+08 -2.7407735508251190e+08 -2.7312717316015750e+08 -2.7166958894510347e+08 -2.6951979715569788e+08 -2.6644716948173723e+08 -2.6217477032810554e+08 -2.5638649612785381e+08 -2.4874623144857237e+08 -2.3893226831450406e+08 -2.2669899053673059e+08 -2.1191042682495710e+08 -1.9459943724276546e+08 -1.7507041681266913e+08 -1.5383352374332526e+08 -1.3157566690523814e+08 -1.0906497801992829e+08 -8.7045137188856259e+07 -6.6150200924513228e+07 -4.6822626356893301e+07 -2.9346290588575840e+07 -1.3816918825817499e+07 -2.3621018201257664e+05 1.1511984304728493e+07 2.1556521907538444e+07 3.0050012024068203e+07 3.7166563889801428e+07 4.3037262892388180e+07 4.7796102539439633e+07 5.1577355322053291e+07 5.4474195106391601e+07 5.6622217327112198e+07 5.8126648820760675e+07 5.9112126936154485e+07 5.9699234830658972e+07 5.9984972871777192e+07 6.0088053425693057e+07 6.0092506410064161e+07 6.0037310484217592e+07 5.9979046187313333e+07 5.9913939040049180e+07 5.9844802215937771e+07 5.9771371482147560e+07 5.9695311940891623e+07 5.9610506702355735e+07 5.9540530326792262e+07 5.9449048436860815e+07 5.9351220259891994e+07 5.9245265241442211e+07 5.9129793446476929e+07 5.9003115010518715e+07 5.8863326983069040e+07 5.8703565031348564e+07 5.8544659224261440e+07 5.8351515472012192e+07 5.8135098446125813e+07 5.7892284219566636e+07 5.7619709735962816e+07 5.7313908184541784e+07 5.6971400887930393e+07 5.6584361981035531e+07 5.6173051900761075e+07 5.5702484941073954e+07 5.5186116216467649e+07 5.4625137478517599e+07 5.4023944611860141e+07 5.3390012936051056e+07 5.2737567431238316e+07 5.2084117616023041e+07 5.1482464202988930e+07 5.0950840245552547e+07 5.0568412778340131e+07 5.0426731431388035e+07 5.0671071079895750e+07 5.1500869530365981e+07 5.3219084788431332e+07 5.6302779993714675e+07 6.1590028845582440e+07 3.7480618942893088e+08 +2.4450483494498303e+00 -2.7372754760417992e+08 -2.7367629522506922e+08 -2.7359312524403155e+08 -2.7348680105568057e+08 -2.7338432541186017e+08 -2.7332731717501426e+08 -2.7333399652340138e+08 -2.7337304989010423e+08 -2.7341303560320073e+08 -2.7344790380379105e+08 -2.7348166536353254e+08 -2.7351500521837044e+08 -2.7354732847976416e+08 -2.7357856987846124e+08 -2.7360901462819028e+08 -2.7363875107279021e+08 -2.7366795620048511e+08 -2.7369704721471673e+08 -2.7372654846742958e+08 -2.7375699846283299e+08 -2.7378897248381591e+08 -2.7382295483022022e+08 -2.7385852298117131e+08 -2.7389463579611874e+08 -2.7393625188005722e+08 -2.7398759420937556e+08 -2.7404653303483665e+08 -2.7411199530945146e+08 -2.7418413040484017e+08 -2.7426303836462724e+08 -2.7434839447039026e+08 -2.7443918403305328e+08 -2.7453336584070438e+08 -2.7462741662464601e+08 -2.7471572415843546e+08 -2.7478972558425403e+08 -2.7483680106797397e+08 -2.7483878703081363e+08 -2.7477009221320206e+08 -2.7459522830742365e+08 -2.7423342679929167e+08 -2.7361143203315455e+08 -2.7261956884218246e+08 -2.7111338619634986e+08 -2.6890731523357815e+08 -2.6577010059907141e+08 -2.6142445973800573e+08 -2.5555441485954428e+08 -2.4782467691010696e+08 -2.3791529716633132e+08 -2.2558350747553411e+08 -2.1069718755441594e+08 -1.9329373836084339e+08 -1.7368229436172098e+08 -1.5237710275762692e+08 -1.3006772952592701e+08 -1.0752316774172847e+08 -8.5486123499695137e+07 -6.4588289689589798e+07 -4.5268938105500333e+07 -2.7808662058300365e+07 -1.2300151999857366e+07 1.2573120101373435e+06 1.2981765391826734e+07 2.3003317746342171e+07 3.1475389165835544e+07 3.8572592558552459e+07 4.4426223760049015e+07 4.9170295074114457e+07 5.2939050257911764e+07 5.5825493859732948e+07 5.7965058907193609e+07 5.9462745035166316e+07 6.0442965127880789e+07 6.1025982344317742e+07 6.1308483421268314e+07 6.1408928984392107e+07 6.1411116980445020e+07 6.1353810995404646e+07 6.1294062450259902e+07 6.1227459458581373e+07 6.1156797567762017e+07 6.1081769932215884e+07 6.1004063159984551e+07 6.0917514483873621e+07 6.0845749287140451e+07 6.0752284966690876e+07 6.0652335133733287e+07 6.0544080183604762e+07 6.0426099687863037e+07 6.0296666727596499e+07 6.0153836609222762e+07 5.9990686592290081e+07 5.9828046333665252e+07 5.9630690979934335e+07 5.9409551951015316e+07 5.9161436794705831e+07 5.8882908710766912e+07 5.8570424838633366e+07 5.8220430219592497e+07 5.7825016133382425e+07 5.7404447435113646e+07 5.6923586189767674e+07 5.6395918709159449e+07 5.5822662879916564e+07 5.5208310881974176e+07 5.4560501880988590e+07 5.3893772725793280e+07 5.3226098405123085e+07 5.2611033371759161e+07 5.2067775180050261e+07 5.1676983844859771e+07 5.1532295346582107e+07 5.1782012178504184e+07 5.2629982329741329e+07 5.4385846678877920e+07 5.7537248353527777e+07 6.2940076908119440e+07 3.7505394261998975e+08 +2.4500166722240886e+00 -2.7348104126638609e+08 -2.7342989090751410e+08 -2.7334689329695243e+08 -2.7324077315663356e+08 -2.7313847950909472e+08 -2.7308153896747541e+08 -2.7308813283151019e+08 -2.7312701431158161e+08 -2.7316680644929320e+08 -2.7320146694799244e+08 -2.7323499363827044e+08 -2.7326806483563203e+08 -2.7330008076636654e+08 -2.7333096922929287e+08 -2.7336100657232529e+08 -2.7339027127191138e+08 -2.7341892815458590e+08 -2.7344737942040646e+08 -2.7347613160125226e+08 -2.7350570231164229e+08 -2.7353664237714958e+08 -2.7356940743202591e+08 -2.7360353938360649e+08 -2.7363793731754661e+08 -2.7367747001792550e+08 -2.7372630414922982e+08 -2.7378227117028970e+08 -2.7384422990508008e+08 -2.7391223832958931e+08 -2.7398628772663832e+08 -2.7406592595810163e+08 -2.7414998945083362e+08 -2.7423626318766338e+08 -2.7432102128579015e+08 -2.7439841573345298e+08 -2.7445960998633116e+08 -2.7449166760110217e+08 -2.7447606043969071e+08 -2.7438678015596348e+08 -2.7418786555844170e+08 -2.7379575392714214e+08 -2.7313811171223456e+08 -2.7210448526199692e+08 -2.7054962542347205e+08 -2.6828720658877328e+08 -2.6508535595165178e+08 -2.6066645673543748e+08 -2.5471467280574182e+08 -2.4689555976344088e+08 -2.3689094696707878e+08 -2.2446093036459008e+08 -2.0947724994851139e+08 -1.9198184574335846e+08 -1.7228857563454539e+08 -1.5091574687459433e+08 -1.2855554487454793e+08 -1.0597778497081447e+08 -8.3924165857347354e+07 -6.3023993921924628e+07 -4.3713344763046712e+07 -2.6269527069661945e+07 -1.0782202857115554e+07 2.7517571300453753e+06 1.4452263786010167e+07 2.4450668889378842e+07 3.2901194441871259e+07 3.9978949712865673e+07 4.5815435420329012e+07 5.0544678249734841e+07 5.4300889748681933e+07 5.7176902633216031e+07 5.9307985219415806e+07 6.0798908205668494e+07 6.1773858385581829e+07 6.2352777459107108e+07 6.2632037357345067e+07 6.2729845735315368e+07 6.2729767670679048e+07 6.2670351179407448e+07 6.2609118250155278e+07 6.2541019337249190e+07 6.2468832327675112e+07 6.2392207745644405e+07 6.2312853699344993e+07 6.2224561571742155e+07 6.2151007415338568e+07 6.2055560612481244e+07 6.1953489067384444e+07 6.1842934123955108e+07 6.1722444859634154e+07 6.1590257299835324e+07 6.1444385006538965e+07 6.1277846860505737e+07 6.1111471954657666e+07 6.0909904880416334e+07 6.0684043713862777e+07 6.0430627475896142e+07 6.0146145619967490e+07 5.9826979233443215e+07 5.9469497074065752e+07 5.9065707593365118e+07 5.8635879918500200e+07 5.8144724085440755e+07 5.7605757516567752e+07 5.7020224234157309e+07 5.6392712716434211e+07 5.5731025980175525e+07 5.5050012752231546e+07 5.4368113532433517e+07 5.3739636402251832e+07 5.3184743633682534e+07 5.2785588186003745e+07 5.2637892478952043e+07 5.2892986662482172e+07 5.3759129053401299e+07 5.5552643617265515e+07 5.8771753827950098e+07 6.4290165440675102e+07 3.7529817394465554e+08 +2.4549849949983469e+00 -2.7322782947325277e+08 -2.7317678278687704e+08 -2.7309395172202128e+08 -2.7298804086862022e+08 -2.7288592959884334e+08 -2.7282905723280174e+08 -2.7283556514375049e+08 -2.7287427415442407e+08 -2.7291387196570253e+08 -2.7294832387583131e+08 -2.7298161476505518e+08 -2.7301441626308858e+08 -2.7304612362349814e+08 -2.7307665776026958e+08 -2.7310628608074057e+08 -2.7313507717719537e+08 -2.7316318365546250e+08 -2.7319099266323709e+08 -2.7321899283962590e+08 -2.7324768082789075e+08 -2.7327758290538526e+08 -2.7330912593467242e+08 -2.7334181612068462e+08 -2.7337449255290234e+08 -2.7341193386261886e+08 -2.7345825020476460e+08 -2.7351123412922400e+08 -2.7356967611081654e+08 -2.7363354243944812e+08 -2.7370271530302674e+08 -2.7377661477399218e+08 -2.7385392798881125e+08 -2.7393226568952590e+08 -2.7400769892140436e+08 -2.7407414342278296e+08 -2.7412248851891071e+08 -2.7413948076737523e+08 -2.7410622719588041e+08 -2.7399630228775930e+08 -2.7377327218648857e+08 -2.7335077527376860e+08 -2.7265740640436941e+08 -2.7158193637810147e+08 -2.6997832256133765e+08 -2.6765948947095704e+08 -2.6439295647013938e+08 -2.5990078530702046e+08 -2.5386729735958448e+08 -2.4595891108735558e+08 -2.3585925262506360e+08 -2.2333129788244167e+08 -2.0825065613318875e+08 -1.9066380435729459e+08 -1.7088930758369425e+08 -1.4944950402370828e+08 -1.2703916083633453e+08 -1.0442887665277502e+08 -8.2359309599362046e+07 -6.1457356946750954e+07 -4.2155887484330446e+07 -2.4728924637769174e+07 -9.2631084272864480e+06 4.2470899157264465e+06 1.5923445753692688e+07 2.5898542898159023e+07 3.4327396495413475e+07 4.1385604888736986e+07 4.7204868138522364e+07 5.1919222921823882e+07 5.5662845121399999e+07 5.8528393125573598e+07 6.0650968249919012e+07 6.2135110535783589e+07 6.3104779073064208e+07 6.3679592655504912e+07 6.3955607245539628e+07 6.4050776307897747e+07 6.4048431161381260e+07 6.3986903762252755e+07 6.3924186344066441e+07 6.3854591464410499e+07 6.3780879315560624e+07 6.3702657775453828e+07 6.3621656446092017e+07 6.3531620889051318e+07 6.3456277671726882e+07 6.3358848375587210e+07 6.3254655106212132e+07 6.3141800155588247e+07 6.3018802106748261e+07 6.2883859929134391e+07 6.2734945439972930e+07 6.2565019171133883e+07 6.2394909499883577e+07 6.2189130673250489e+07 6.1958547332434557e+07 6.1699829970625520e+07 6.1409394294345520e+07 6.1083545338262238e+07 6.0718575575671092e+07 6.0306410658679843e+07 5.9867323840670012e+07 5.9365873331118822e+07 5.8815607575617082e+07 5.8217796732556731e+07 5.7577125579339273e+07 5.6901560985119246e+07 5.6206263557833903e+07 5.5510139339873731e+07 5.4868249914395086e+07 5.4301722467408858e+07 5.3894202835991822e+07 5.3743499924952723e+07 5.4003971516844898e+07 5.4888286309921533e+07 5.6719451432181567e+07 6.0006270842909940e+07 6.5640266475059107e+07 3.7553888947973239e+08 +2.4599533177726052e+00 -2.7296791731375539e+08 -2.7291697229640716e+08 -2.7283430944938874e+08 -2.7272860675604939e+08 -2.7262668046675408e+08 -2.7256987625151098e+08 -2.7257629741177702e+08 -2.7261483338513035e+08 -2.7265423606911808e+08 -2.7268847854268324e+08 -2.7272153270441598e+08 -2.7275406346170706e+08 -2.7278546102325702e+08 -2.7281563945462281e+08 -2.7284485714893770e+08 -2.7287317280004847e+08 -2.7290072673196274e+08 -2.7292789099402565e+08 -2.7295513625851661e+08 -2.7298293811698014e+08 -2.7301179821064645e+08 -2.7304211452292597e+08 -2.7307335742738724e+08 -2.7310430579845470e+08 -2.7313964778393787e+08 -2.7318343683533370e+08 -2.7323342647667450e+08 -2.7328833861787868e+08 -2.7334804757324505e+08 -2.7341232610769987e+08 -2.7348046613894135e+08 -2.7355100511267042e+08 -2.7362137910061479e+08 -2.7368745562755311e+08 -2.7374291372630173e+08 -2.7377836815826678e+08 -2.7378024810786939e+08 -2.7372929550723606e+08 -2.7359866760336262e+08 -2.7335145811573857e+08 -2.7289850194892305e+08 -2.7216932863063592e+08 -2.7105193638677800e+08 -2.6939949378288621e+08 -2.6702418236646235e+08 -2.6369292331819969e+08 -2.5912746966434801e+08 -2.5301231612883329e+08 -2.4501476215880865e+08 -2.3482024922553694e+08 -2.2219464885577884e+08 -2.0701744834835368e+08 -1.8933965924552757e+08 -1.6948453719736433e+08 -1.4797842213198778e+08 -1.2551862526024789e+08 -1.0287648966993734e+08 -8.0791599979792491e+07 -5.9888421993228093e+07 -4.0596607320819378e+07 -2.3186893671590231e+07 -7.7429056336740516e+06 5.7432752102073878e+06 1.7395277664188236e+07 2.7346907434950836e+07 3.5753964068067372e+07 4.2792527718556210e+07 4.8594492274619721e+07 5.3293900039065979e+07 5.7024887795363501e+07 5.9879937126542896e+07 6.1993980075075142e+07 6.3471324318894178e+07 6.4435699643763505e+07 6.5006400503278345e+07 6.5279165740410037e+07 6.5371693420265466e+07 6.5367080221712895e+07 6.5303441558289491e+07 6.5239239577443868e+07 6.5168148716496900e+07 6.5092911439373665e+07 6.5013092962530226e+07 6.4930444375220433e+07 6.4838665446694687e+07 6.4761533104350090e+07 6.4662121344947852e+07 6.4555806382876791e+07 6.4440651458719365e+07 6.4315144661260262e+07 6.4177447904411368e+07 6.4025491261118859e+07 6.3852176945622616e+07 6.3678332468251176e+07 6.3468341944275022e+07 6.3233036490021691e+07 6.2969018071636282e+07 6.2672628649567015e+07 6.2340097206618443e+07 6.1967639932600074e+07 6.1547099710440479e+07 6.1098753774111792e+07 6.0587008711746097e+07 6.0025443904637665e+07 5.9415355646966226e+07 5.8761525014062539e+07 5.8072082725833610e+07 5.7362501267597787e+07 5.6652152246098951e+07 5.5996850603982978e+07 5.5418688617149331e+07 5.5002804903435439e+07 5.4849094855208158e+07 5.5114943801254854e+07 5.6017430783692569e+07 5.7886246030705079e+07 6.1240773907215446e+07 6.6990352133790158e+07 3.7577609535866910e+08 +2.4649216405468635e+00 -2.7270130230977392e+08 -2.7265046438309032e+08 -2.7256797500172746e+08 -2.7246247827296847e+08 -2.7236073575633299e+08 -2.7230399995377398e+08 -2.7231033380249852e+08 -2.7234869616405493e+08 -2.7238790289249462e+08 -2.7242193512143213e+08 -2.7245475163233626e+08 -2.7248701060576934e+08 -2.7251809715327638e+08 -2.7254791851093751e+08 -2.7257672398875737e+08 -2.7260456236706424e+08 -2.7263156162905109e+08 -2.7265807867899001e+08 -2.7268456615036142e+08 -2.7271147850165516e+08 -2.7273929265065467e+08 -2.7276837759799469e+08 -2.7279816775521767e+08 -2.7282738156694996e+08 -2.7286061636971122e+08 -2.7290186871821088e+08 -2.7294885299630356e+08 -2.7300022233464462e+08 -2.7305575878884804e+08 -2.7311512537455332e+08 -2.7317748549420887e+08 -2.7324122650906771e+08 -2.7330360939818966e+08 -2.7336029772330040e+08 -2.7340473336834705e+08 -2.7342725610779160e+08 -2.7341397739083016e+08 -2.7334527381000686e+08 -2.7319388532803053e+08 -2.7292243350316936e+08 -2.7243894529676610e+08 -2.7167389114828837e+08 -2.7051449972068006e+08 -2.6881315549678940e+08 -2.6638130399643704e+08 -2.6298527789014366e+08 -2.5834653424400163e+08 -2.5214975693388870e+08 -2.4406314445203403e+08 -2.3377397202816507e+08 -2.2105102225719067e+08 -2.0577766894582123e+08 -1.8800945552403298e+08 -1.6807431149758115e+08 -1.4650254912177518e+08 -1.2399398595698953e+08 -1.0132067083938387e+08 -7.9221082168370813e+07 -5.8317232193443067e+07 -3.9035545220029511e+07 -2.1643472973258648e+07 -6.2216312926163869e+06 7.2402779620882599e+06 1.8867725990311347e+07 2.8795730263051543e+07 3.7180866000315480e+07 4.4199687931613468e+07 4.9984278283746287e+07 5.4668680644085348e+07 5.8386989282298744e+07 6.1231506517614275e+07 6.3336992862412378e+07 6.4807521938790374e+07 6.5766592640813082e+07 6.6333173661781430e+07 6.6602685585702598e+07 6.6692569879671097e+07 6.6685687709818095e+07 6.6619937470775321e+07 6.6554250884467050e+07 6.6481664058617190e+07 6.6404901695697129e+07 6.6323486336354822e+07 6.6239190550067104e+07 6.6145668343743294e+07 6.6066746849360116e+07 6.5965352697583571e+07 6.5856916118025467e+07 6.5739461301182315e+07 6.5611445842544973e+07 6.5470994601811454e+07 6.5315995908823937e+07 6.5139293692380421e+07 6.4961714445200987e+07 6.4747512365603387e+07 6.4507484955856420e+07 6.4238165657261759e+07 6.3935822686575182e+07 6.3596608976995386e+07 6.3216664437400460e+07 6.2787749213367589e+07 6.2330144374310963e+07 6.1808105094740070e+07 6.1235241603637218e+07 6.0612876329992734e+07 5.9945886644143976e+07 5.9242567111379966e+07 5.8518702084552757e+07 5.7794128746716164e+07 5.7125415242866524e+07 5.6535619094340809e+07 5.6111371571848497e+07 5.5954654514986187e+07 5.6225880650272541e+07 5.7146539235398173e+07 5.9053003398431160e+07 6.2475237612967961e+07 6.8340394630575761e+07 3.7600979777103770e+08 +2.4698899633211218e+00 -2.7242799689021039e+08 -2.7237726160466480e+08 -2.7229494084247756e+08 -2.7218965673391408e+08 -2.7208810060543674e+08 -2.7203143230313200e+08 -2.7203767870340681e+08 -2.7207586684677589e+08 -2.7211487679211354e+08 -2.7214869800145733e+08 -2.7218127593787968e+08 -2.7221326208310771e+08 -2.7224403641537476e+08 -2.7227349934221441e+08 -2.7230189102616179e+08 -2.7232925031996685e+08 -2.7235569280707502e+08 -2.7238156020029020e+08 -2.7240728702201027e+08 -2.7243330651937866e+08 -2.7246007080010861e+08 -2.7248791977671427e+08 -2.7251625177284497e+08 -2.7254372458720970e+08 -2.7257484442370504e+08 -2.7261355074639320e+08 -2.7265751868848199e+08 -2.7270533238857234e+08 -2.7275668136235362e+08 -2.7281111855583304e+08 -2.7286767850081623e+08 -2.7292459808495855e+08 -2.7297896278030205e+08 -2.7302623175107336e+08 -2.7305960929687411e+08 -2.7306915979505914e+08 -2.7304067661112410e+08 -2.7295417076864445e+08 -2.7278196491762948e+08 -2.7248620873728746e+08 -2.7197211689422917e+08 -2.7117110694847018e+08 -2.6996964104739207e+08 -2.6821932434682021e+08 -2.6573087331459105e+08 -2.6227004180942377e+08 -2.5755800370388913e+08 -2.5127964780608386e+08 -2.4310408963525075e+08 -2.3272045646482414e+08 -2.1990045720317292e+08 -2.0453136038688925e+08 -1.8667323838025686e+08 -1.6665867753796989e+08 -1.4502193290926173e+08 -1.2246529069794233e+08 -9.9761466912061766e+07 -7.7647801249063164e+07 -5.6743830581238493e+07 -3.7472742024554595e+07 -2.0098701237312172e+07 -4.6993221128504295e+06 8.7380632260868885e+06 2.0340757308794092e+07 3.0244979247397698e+07 3.8608071232041262e+07 4.5607055354477383e+07 5.1374196716644816e+07 5.6043535873451479e+07 5.9749121186941735e+07 6.2583073272214197e+07 6.4679978870517671e+07 6.6143675869993292e+07 6.7097430697832845e+07 6.7659884880246982e+07 6.7926139615125477e+07 6.8013378582885131e+07 6.8004226573232263e+07 6.7936364492162853e+07 6.7869193288463756e+07 6.7795110544980511e+07 6.7716823170047835e+07 6.7633811015161946e+07 6.7547868122565225e+07 6.7452602767817289e+07 6.7371892131337583e+07 6.7268515698658347e+07 6.7157957620367363e+07 6.7038203038867563e+07 6.6907679058055326e+07 6.6764473485169396e+07 6.6606432909203865e+07 6.6426343006985411e+07 6.6245029103190668e+07 6.6026615696135826e+07 6.5781866585694723e+07 6.5507246691960670e+07 6.5198950491824724e+07 6.4853054872941338e+07 6.4465623467178479e+07 6.4028333716346510e+07 6.3561470380376197e+07 6.3029137430387639e+07 6.2444975854511365e+07 6.1810334215415664e+07 6.1130186173205391e+07 6.0412990130082741e+07 5.9674842290010668e+07 5.8936045414903007e+07 5.8253920679593772e+07 5.7652490986011222e+07 5.7219880099884540e+07 5.7060156224596754e+07 5.7336759273773141e+07 5.8275588502085254e+07 6.0219699600340545e+07 6.3709636635980912e+07 6.9690366270402655e+07 3.7624000296201485e+08 +2.4748582860953801e+00 -2.7214800092912894e+08 -2.7209737035923851e+08 -2.7201522265018773e+08 -2.7191014810612005e+08 -2.7180877805370724e+08 -2.7175217808989155e+08 -2.7175833676057971e+08 -2.7179634999290383e+08 -2.7183516234881896e+08 -2.7186877178449720e+08 -2.7190111022315598e+08 -2.7193282249492550e+08 -2.7196328342553866e+08 -2.7199238657534391e+08 -2.7202036290217817e+08 -2.7204724131479830e+08 -2.7207312494029540e+08 -2.7209834025415879e+08 -2.7212330359554631e+08 -2.7214842692283362e+08 -2.7217413744738495e+08 -2.7220074589084476e+08 -2.7222761436261231e+08 -2.7225333980408412e+08 -2.7228233696512252e+08 -2.7231848803057855e+08 -2.7235942877014089e+08 -2.7240367412306255e+08 -2.7245082078712040e+08 -2.7250031132179999e+08 -2.7255105103843862e+08 -2.7260112596739364e+08 -2.7264744566525728e+08 -2.7268526447361666e+08 -2.7270754868284976e+08 -2.7270408687235743e+08 -2.7266035398890060e+08 -2.7255599527478021e+08 -2.7236291605564672e+08 -2.7204279443621141e+08 -2.7149802854991853e+08 -2.7066098925509739e+08 -2.6941737526861668e+08 -2.6761801721091071e+08 -2.6507290950727311e+08 -2.6154723692733496e+08 -2.5676190292256993e+08 -2.5040201698591781e+08 -2.4213762956929240e+08 -2.3165973813735062e+08 -2.1874299295092824e+08 -2.0327856523947865e+08 -1.8533105307014921e+08 -1.6523768240084839e+08 -1.4353662140207776e+08 -1.2093258721280010e+08 -9.8198924570956945e+07 -7.6071802219009072e+07 -5.5168260091565430e+07 -3.5908238471283086e+07 -1.8552617050049134e+07 -3.1760146949094627e+06 1.0236596163609188e+07 2.1814338300842043e+07 3.1694622355048906e+07 4.0035548802910052e+07 4.7014599911513351e+07 5.2764218220086545e+07 5.7418436958435930e+07 6.1111255207445562e+07 6.3934609456330650e+07 6.6022910449785382e+07 6.7479758678123325e+07 6.8428186539154574e+07 6.8986506998352438e+07 6.9249500752417207e+07 6.9334092516675234e+07 6.9322669849378169e+07 6.9252695704550609e+07 6.9184039902304292e+07 6.9108461319124028e+07 6.9028649037146568e+07 6.8944040206379160e+07 6.8856450333870903e+07 6.8759441995600313e+07 6.8676942263845623e+07 6.8571583702208787e+07 6.8458904287278637e+07 6.8336850116216630e+07 6.8203817803398609e+07 6.8057858106419146e+07 6.7896775876489326e+07 6.7713298572743654e+07 6.7528250202056199e+07 6.7305625781788930e+07 6.7056155322018594e+07 6.6776235226577021e+07 6.6461986237928778e+07 6.6109409203656964e+07 6.5714491484216407e+07 6.5268827852703214e+07 6.4792706615180671e+07 6.4250080751891673e+07 6.3654621921610683e+07 6.3007704818596385e+07 6.2314399385645315e+07 6.1583327850106627e+07 6.0830898244197793e+07 6.0077878901457131e+07 5.9382343839334123e+07 5.8769281455326952e+07 5.8328307821668930e+07 5.8165577379480712e+07 5.8447556957362838e+07 5.9404555497857235e+07 6.1386310780639224e+07 6.4943945736073695e+07 7.1040239450462788e+07 3.7646671723186272e+08 +2.4798266088696383e+00 -2.7186131538176721e+08 -2.7181079530884665e+08 -2.7172881782530618e+08 -2.7162395667293334e+08 -2.7152277387923455e+08 -2.7146624232336426e+08 -2.7147231286162925e+08 -2.7151015037975568e+08 -2.7154876436704803e+08 -2.7158216128269148e+08 -2.7161425930133307e+08 -2.7164569665592629e+08 -2.7167584301347840e+08 -2.7170458505048323e+08 -2.7173214446992069e+08 -2.7175854022128320e+08 -2.7178386291701382e+08 -2.7180842375017881e+08 -2.7183262080671781e+08 -2.7185684467812675e+08 -2.7188149759536815e+08 -2.7190686098674023e+08 -2.7193226062188202e+08 -2.7195623237682432e+08 -2.7198309922879553e+08 -2.7201668589504689e+08 -2.7205458867402315e+08 -2.7209525309794027e+08 -2.7213818277358425e+08 -2.7218270956061745e+08 -2.7222760920468897e+08 -2.7227081650191438e+08 -2.7230906469161135e+08 -2.7233740287547415e+08 -2.7234855891854155e+08 -2.7233204521405911e+08 -2.7227301796895951e+08 -2.7215075644615370e+08 -2.7193674865392411e+08 -2.7159220144801283e+08 -2.7101669230324405e+08 -2.7014355152501178e+08 -2.6885771751819527e+08 -2.6700925119776565e+08 -2.6440743198959732e+08 -2.6081688532043800e+08 -2.5595825699677384e+08 -2.4951689292030421e+08 -2.4116379630515829e+08 -2.3059185281474951e+08 -2.1757866889707664e+08 -2.0201932617663291e+08 -1.8398294491669634e+08 -1.6381137319661301e+08 -1.4204666249752614e+08 -1.1939592318813701e+08 -9.6633090430087090e+07 -7.4493129987349749e+07 -5.3590563559161954e+07 -3.4342075190634765e+07 -1.7005258888832562e+07 -1.6517455305315568e+06 1.1735842043242501e+07 2.3288435752636861e+07 3.3144627655528560e+07 4.1463267852846935e+07 4.8422291625349075e+07 5.4154313537266724e+07 5.8793355225131825e+07 6.2473363135776386e+07 6.5286087228705361e+07 6.7365760042839855e+07 6.8815743020331338e+07 6.9758832980195522e+07 7.0313012946644858e+07 7.0572742011743277e+07 7.0654684758291006e+07 7.0640990665714890e+07 7.0568904280147329e+07 7.0498763928816661e+07 7.0421689614545196e+07 7.0340352561659724e+07 7.0254147207200482e+07 7.0164910514679357e+07 7.0066159393278241e+07 6.9981870649535432e+07 6.9874530151383221e+07 6.9759729605117694e+07 6.9635376066334188e+07 6.9499835662856460e+07 6.9351122105934605e+07 6.9186998512987599e+07 6.9000134161028922e+07 6.8811351589536533e+07 6.8584516556023046e+07 6.8330325194489479e+07 6.8045105398766443e+07 6.7724904183802545e+07 6.7365646364215553e+07 6.6963243036116213e+07 6.6509206340712517e+07 6.6023827985804327e+07 6.5470910176240444e+07 6.4864155152009547e+07 6.4204963736717358e+07 6.3498502146944925e+07 6.2753556419561967e+07 6.1986846386206158e+07 6.1219605935364150e+07 6.0510661724621505e+07 5.9885967741823144e+07 5.9436632147140041e+07 5.9270895450854927e+07 5.9558251062519222e+07 6.0533417213947311e+07 6.2552813163417265e+07 6.6178139757651217e+07 7.2389986660034597e+07 3.7668994693541461e+08 +2.4847949316438966e+00 -2.7156795995867115e+08 -2.7151754225099802e+08 -2.7143573600056267e+08 -2.7133108768317527e+08 -2.7123009196455365e+08 -2.7117363004659599e+08 -2.7117961204736269e+08 -2.7121727300712788e+08 -2.7125568786925060e+08 -2.7128887151621610e+08 -2.7132072819641823e+08 -2.7135188959464729e+08 -2.7138172022185516e+08 -2.7141009982031173e+08 -2.7143724079674917e+08 -2.7146315212162548e+08 -2.7148791183819246e+08 -2.7151181581177431e+08 -2.7153524380382228e+08 -2.7155856496493781e+08 -2.7158215646023500e+08 -2.7160627032351977e+08 -2.7163019586185348e+08 -2.7165240767815137e+08 -2.7167713666294122e+08 -2.7170814988013238e+08 -2.7174300404781997e+08 -2.7178007508848447e+08 -2.7181877324771047e+08 -2.7185831937658972e+08 -2.7189735931431979e+08 -2.7193367625188029e+08 -2.7196382671648324e+08 -2.7198265416068727e+08 -2.7198264761768985e+08 -2.7195304291824311e+08 -2.7187867721988070e+08 -2.7173846362500781e+08 -2.7150347285028476e+08 -2.7113444084824818e+08 -2.7052812042297530e+08 -2.6961880744428468e+08 -2.6829068316121495e+08 -2.6639304364771307e+08 -2.6373446040605131e+08 -2.6007900928957510e+08 -2.5514709123943713e+08 -2.4862430426107451e+08 -2.4018262208155712e+08 -2.2951683643194008e+08 -2.1640752457452133e+08 -2.0075368597343060e+08 -1.8262895930662331e+08 -1.6237979706015518e+08 -1.4055210408101147e+08 -1.1785534626612456e+08 -9.5064011032545909e+07 -7.2911829373924360e+07 -5.2010783717970096e+07 -3.2774292705716945e+07 -1.5456665121404108e+07 -1.2655100206130152e+05 1.3235766241337810e+07 2.4763016555829071e+07 3.4594963321460307e+07 4.2891197622444957e+07 4.9830100617116980e+07 5.5544453508306697e+07 6.0168262095314711e+07 6.3835416858155996e+07 6.6637478841404982e+07 6.8708500184652388e+07 7.0151601645803481e+07 7.1089342927790150e+07 7.1639375746761933e+07 7.1895836498437837e+07 7.1975128475459278e+07 7.1959162240386054e+07 7.1884963481531531e+07 7.1813338661141723e+07 7.1734768754924625e+07 7.1651907098261073e+07 7.1564105404674321e+07 7.1473222085582659e+07 7.1372728416604176e+07 7.1286650780905247e+07 7.1177328578778267e+07 7.1060407149675012e+07 7.0933754511703596e+07 7.0795706309803098e+07 7.0644239213087633e+07 7.0477074609768108e+07 7.0286823631509632e+07 7.0094307201371416e+07 6.9863262040186048e+07 6.9604350320241675e+07 6.9313831433346808e+07 6.8987678675188154e+07 6.8621740836114839e+07 6.8211852756347150e+07 6.7749443983833253e+07 6.7254809483928576e+07 6.6691600904133938e+07 6.6073550976006597e+07 6.5402086649402842e+07 6.4682470403762393e+07 6.3923652067015611e+07 6.3142663234716684e+07 6.2361203324050881e+07 6.1638851415430896e+07 6.1002527161723778e+07 6.0544830562424771e+07 6.0376087985728428e+07 6.0668819027217612e+07 6.1662150719219096e+07 6.3719183052921467e+07 6.7412193629779652e+07 7.3739580481464386e+07 3.7690969848156011e+08 +2.4897632544181549e+00 -2.7126792630632740e+08 -2.7121761619920975e+08 -2.7113598314504510e+08 -2.7103154510771894e+08 -2.7093073759769374e+08 -2.7087434603662384e+08 -2.7088023946145874e+08 -2.7091772310128474e+08 -2.7095593809128153e+08 -2.7098890771358138e+08 -2.7102052214426875e+08 -2.7105140655301362e+08 -2.7108092030533415e+08 -2.7110893614945674e+08 -2.7113565716103584e+08 -2.7116108231038129e+08 -2.7118527701772761e+08 -2.7120852177388448e+08 -2.7123117794829744e+08 -2.7125359317505342e+08 -2.7127611947039223e+08 -2.7129897937405270e+08 -2.7132142560684675e+08 -2.7134187129463452e+08 -2.7136445493032950e+08 -2.7139288573894894e+08 -2.7142468075281048e+08 -2.7145814608457053e+08 -2.7149259835055298e+08 -2.7152714708957654e+08 -2.7156030789870465e+08 -2.7158971199774557e+08 -2.7161173881483632e+08 -2.7162102575212473e+08 -2.7160982261393279e+08 -2.7156708830280942e+08 -2.7147734063279355e+08 -2.7131912637842119e+08 -2.7106309900797802e+08 -2.7066952393932807e+08 -2.7003232540595448e+08 -2.6908677092932504e+08 -2.6771628779214343e+08 -2.6576941212924603e+08 -2.6305401462702265e+08 -2.5933363135766530e+08 -2.5432843117849356e+08 -2.4772427986245769e+08 -2.3919413932328111e+08 -2.2843472508653292e+08 -2.1522959965054497e+08 -1.9948168750495774e+08 -1.8126914168907198e+08 -1.6094300114953187e+08 -1.3905299402362531e+08 -1.1631090404226841e+08 -9.3491732849721849e+07 -7.1327945108411267e+07 -5.0428963199872747e+07 -3.1204931431622121e+07 -1.3906874005220963e+07 1.3995326181340250e+06 1.4736334242542733e+07 2.6238047707977034e+07 3.6045597628916420e+07 4.4319307453514606e+07 5.1237997107244320e+07 5.6934609070688404e+07 6.1543129086527042e+07 6.5197388355356112e+07 6.7988756640285641e+07 7.0051103503250241e+07 7.1487307396041945e+07 7.2419689380795673e+07 7.2965568511964634e+07 7.3218757409076169e+07 7.3295396927376449e+07 7.3277157882579789e+07 7.3200846662203297e+07 7.3127737483237475e+07 7.3047672154598489e+07 7.2963286092149258e+07 7.2873888276389584e+07 7.2781358557368055e+07 7.2679122611697644e+07 7.2591256240510762e+07 7.2479952607148349e+07 7.2360910586345553e+07 7.2231959164382622e+07 7.2091403507073417e+07 7.1937183246319920e+07 7.1766978046907291e+07 7.1573340932760850e+07 7.1377091061988354e+07 7.1141836343842357e+07 7.0878204904481292e+07 7.0582387642789111e+07 7.0250284144988075e+07 6.9877667187349632e+07 6.9460295364644870e+07 6.8989515671066061e+07 6.8485626186376482e+07 6.7912128220607728e+07 6.7282784907174647e+07 6.6599049318675302e+07 6.5866280184584007e+07 6.5093591101825871e+07 6.4298325388222538e+07 6.3502647953728795e+07 6.2766890069664896e+07 6.2118937108434185e+07 6.1652880630068935e+07 6.1481132607545413e+07 6.1779238365929261e+07 6.2790733160402983e+07 6.4885396833920702e+07 6.8646082366729930e+07 7.5088993589911193e+07 3.7712597833273369e+08 +2.4947315771924132e+00 -2.7096122111511815e+08 -2.7091101609929889e+08 -2.7082955867022347e+08 -2.7072533566406935e+08 -2.7062471771827799e+08 -2.7056839575437045e+08 -2.7057420043056363e+08 -2.7061150611272085e+08 -2.7064952047817630e+08 -2.7068227531164747e+08 -2.7071364659019929e+08 -2.7074425298590750e+08 -2.7077344873053831e+08 -2.7080109951417977e+08 -2.7082739905329180e+08 -2.7085233629315555e+08 -2.7087596397991991e+08 -2.7089854718299776e+08 -2.7092042881240827e+08 -2.7094193491226411e+08 -2.7096339226720458e+08 -2.7098499382233918e+08 -2.7100595559267879e+08 -2.7102462902501506e+08 -2.7104505990488648e+08 -2.7107089943766230e+08 -2.7109962486449867e+08 -2.7112947228939170e+08 -2.7115966443770140e+08 -2.7118919923436409e+08 -2.7121646170404732e+08 -2.7123893073673534e+08 -2.7125280827918100e+08 -2.7125252529071140e+08 -2.7123009196027273e+08 -2.7117418990751666e+08 -2.7106901732041031e+08 -2.7089275449577093e+08 -2.7061563771541339e+08 -2.7019746224932379e+08 -2.6952931997668231e+08 -2.6854745612404484e+08 -2.6713454723396692e+08 -2.6513837443833831e+08 -2.6236611474862987e+08 -2.5858077426783681e+08 -2.5350230255426401e+08 -2.4681684877994025e+08 -2.3819838063831848e+08 -2.2734555503655705e+08 -2.1404493392354965e+08 -1.9820337374387422e+08 -1.7990353757274154e+08 -1.5950103264376447e+08 -1.3754938018038115e+08 -1.1476264406421724e+08 -9.1916302279473528e+07 -6.9741521828907549e+07 -4.8845144533896670e+07 -2.9634031674546786e+07 -1.2355923686814761e+07 2.9264691682479475e+06 1.6237511640252026e+07 2.7713496313127853e+07 3.7496498957924657e+07 4.5747566789415538e+07 5.2645951415392801e+07 5.8324751259484760e+07 6.2917927812286839e+07 6.6559249703302994e+07 6.9339893065085560e+07 7.1393542719962418e+07 7.2822833205279946e+07 7.3749845430395156e+07 7.4291564447538123e+07 7.4541478031989962e+07 7.4615463464459568e+07 7.4594950992729291e+07 7.4516527266825482e+07 7.4441933870042786e+07 7.4360373318910941e+07 7.4274463079578191e+07 7.4183469390760764e+07 7.4089293531640917e+07 7.3985315615138471e+07 7.3895660701179847e+07 7.3782375949241683e+07 7.3661213670973063e+07 7.3529963826459333e+07 7.3386901107227042e+07 7.3229928113864169e+07 7.3056682793947577e+07 7.2859660102486297e+07 7.2659677284652293e+07 7.2420213665247768e+07 7.2151863240685508e+07 7.1850748427392602e+07 7.1512695113653138e+07 7.1133400073235124e+07 7.0708545667125329e+07 7.0229396377523541e+07 6.9716253255052239e+07 6.9132467495329678e+07 6.8491832543100670e+07 6.7795827589841530e+07 6.7049907599986956e+07 6.6263349914406143e+07 6.5453809525134914e+07 6.4643916789817549e+07 6.3894754923406489e+07 6.3235175052631043e+07 6.2760759989564203e+07 6.2586007016210310e+07 6.2889486670125201e+07 6.3919141762508333e+07 6.6051430972018003e+07 6.9879781068333060e+07 7.6438198754259467e+07 3.7733879300440377e+08 +2.4996998999666715e+00 -2.7064785349006802e+08 -2.7059775692524034e+08 -2.7051647398530507e+08 -2.7041246670059806e+08 -2.7031203752087998e+08 -2.7025578494793946e+08 -2.7026150059481966e+08 -2.7029862770816743e+08 -2.7033644068321037e+08 -2.7036897995775485e+08 -2.7040010719249964e+08 -2.7043043456055117e+08 -2.7045931117482239e+08 -2.7048659560086638e+08 -2.7051247217389005e+08 -2.7053691978616005e+08 -2.7055997846043169e+08 -2.7058189779701567e+08 -2.7060300217963326e+08 -2.7062359599153513e+08 -2.7064398070127952e+08 -2.7066431956433475e+08 -2.7068379176701528e+08 -2.7070068687939656e+08 -2.7071895767383873e+08 -2.7074219715529549e+08 -2.7076784267031235e+08 -2.7079406011986786e+08 -2.7081997807804912e+08 -2.7084448255976051e+08 -2.7086582769234449e+08 -2.7088133968086177e+08 -2.7088704261776942e+08 -2.7087716063510519e+08 -2.7084346392790526e+08 -2.7077435648998529e+08 -2.7065371661600727e+08 -2.7045935798900861e+08 -2.7016109978360760e+08 -2.6971826753141618e+08 -2.6901911708511388e+08 -2.6800087739832973e+08 -2.6654547753619492e+08 -2.6449994859766123e+08 -2.6167078109015247e+08 -2.5782046098230428e+08 -2.5266873131729943e+08 -2.4590204026688862e+08 -2.3719537881629851e+08 -2.2624936269883358e+08 -2.1285356732245308e+08 -1.9691878775806546e+08 -1.7853219252384347e+08 -1.5805393874035031e+08 -1.3604131038865814e+08 -1.1321061383001399e+08 -9.0337765645050123e+07 -6.8152604080997199e+07 -4.7259370145298049e+07 -2.8061633631000962e+07 -1.0803852201097472e+07 4.4542225975997830e+06 1.7739264137222599e+07 2.9189329582179274e+07 3.8947635792919315e+07 4.7175945175599813e+07 5.4053933961441599e+07 5.9714851207933955e+07 6.4292629983111784e+07 6.7920973073317111e+07 7.0690860650087789e+07 7.2735790649801418e+07 7.4158152100898132e+07 7.5079784260412171e+07 7.5617336851021975e+07 7.5863971747483015e+07 7.5935301529203370e+07 7.5912515063070342e+07 7.5831978831726283e+07 7.5755901388187721e+07 7.5672845844591409e+07 7.5585411687835261e+07 7.5492822407171279e+07 7.5397000700971723e+07 7.5291281154485598e+07 7.5199837926738948e+07 7.5084572408794791e+07 7.4961290249557227e+07 7.4827742390282795e+07 7.4682173053165928e+07 7.4522447813858718e+07 7.4346162910134733e+07 7.4145755268135101e+07 7.3942040071998283e+07 7.3698368291640267e+07 7.3425299710955516e+07 7.3118888275868878e+07 7.2774886189501882e+07 7.2388914236324370e+07 7.1956578556944087e+07 7.1469061164537981e+07 7.0946665937698469e+07 7.0352594182824001e+07 6.9700669565460578e+07 6.8992397391216904e+07 6.8233328842848688e+07 6.7432904976654097e+07 6.6609092404496111e+07 6.5784986877065703e+07 6.5022423291269161e+07 6.4351218542808510e+07 6.3868446357441872e+07 6.3690688988752298e+07 6.3999541608660474e+07 6.5047353829039156e+07 6.7217262013999283e+07 7.1113264920406833e+07 7.7787168837458342e+07 3.7754814906456542e+08 +2.5046682227409298e+00 -2.7032782905843681e+08 -2.7027784034270889e+08 -2.7019673258381301e+08 -2.7009293923769689e+08 -2.6999270159082192e+08 -2.6993651950020111e+08 -2.6994214590271509e+08 -2.6997909376025939e+08 -2.7001670456854576e+08 -2.7004902751093370e+08 -2.7007990981929183e+08 -2.7010995715559912e+08 -2.7013851352559698e+08 -2.7016543030656350e+08 -2.7019088243370306e+08 -2.7021483871567291e+08 -2.7023732640485132e+08 -2.7025857958274853e+08 -2.7027890404346895e+08 -2.7029858243720323e+08 -2.7031789083565384e+08 -2.7033696270537281e+08 -2.7035494028854090e+08 -2.7037005107899082e+08 -2.7038615453505588e+08 -2.7040678528126138e+08 -2.7042934066960901e+08 -2.7045191620447540e+08 -2.7047354605281353e+08 -2.7049300402785099e+08 -2.7050841303834474e+08 -2.7051694625695181e+08 -2.7051444955506003e+08 -2.7049493985943902e+08 -2.7044994700501269e+08 -2.7036759702764338e+08 -2.7023144807289535e+08 -2.7001894709058446e+08 -2.6969949624618208e+08 -2.6923195176193213e+08 -2.6850172990527993e+08 -2.6744704934903035e+08 -2.6594909497419381e+08 -2.6385415285355580e+08 -2.6096803419302985e+08 -2.5705271468004000e+08 -2.5182774362766352e+08 -2.4497988377375153e+08 -2.3618516682590765e+08 -2.2514618464620352e+08 -2.1165553990272784e+08 -1.9562797270872492e+08 -1.7715515216400784e+08 -1.5660176665394509e+08 -1.3452883246630761e+08 -1.1165486078651473e+08 -8.8756169193665460e+07 -6.6561236316545233e+07 -4.5671682354660094e+07 -2.6487777387240492e+07 -9.2506974707587603e+06 5.9827569672074467e+06 1.9241557545990158e+07 3.0665514833495677e+07 4.0398976723159835e+07 4.8604412259851038e+07 5.5461915265409611e+07 6.1104880147975162e+07 6.5667207406436563e+07 6.9282530732427076e+07 7.2041632024568826e+07 7.4077820201861724e+07 7.5493237203836694e+07 7.6409479147749051e+07 7.6942859112859368e+07 7.7186212028592542e+07 7.7254884656464607e+07 7.7229823678011179e+07 7.7147174985046700e+07 7.7069613696042418e+07 7.6985063420170262e+07 7.6896105636128694e+07 7.6801921076780960e+07 7.6704453849535331e+07 7.6596993048691556e+07 7.6503761772110045e+07 7.6386515880338252e+07 7.6261114259429917e+07 7.6125268839062825e+07 7.5977193378252268e+07 7.5814716434924349e+07 7.5635392544981495e+07 7.5431600646758258e+07 7.5224153716269791e+07 7.4976274599619165e+07 7.4698488786464095e+07 7.4386781765604883e+07 7.4036832069098145e+07 7.3644184507099807e+07 7.3204369014427945e+07 7.2708485180119812e+07 7.2176839567931682e+07 7.1572483823047727e+07 7.0909271740467444e+07 7.0188734734953985e+07 6.9416520189004272e+07 6.8602232842242405e+07 6.7764150866059437e+07 6.6925835340114415e+07 6.6149872566680610e+07 6.5467045205423452e+07 6.4975917527674213e+07 6.4795156379204512e+07 6.5109380927897170e+07 6.6175346742486678e+07 6.8382866588186026e+07 7.2346509194772944e+07 7.9135876796470746e+07 3.7775405313323349e+08 +2.5096365455151881e+00 -2.7000115660380268e+08 -2.6995127180848676e+08 -2.6987033890463817e+08 -2.6976676446312970e+08 -2.6966671749765271e+08 -2.6961060551102036e+08 -2.6961614247620797e+08 -2.6965291034125942e+08 -2.6969031820633841e+08 -2.6972242404137194e+08 -2.6975306054991484e+08 -2.6978282685988432e+08 -2.6981106187878990e+08 -2.6983760973625618e+08 -2.6986263595232379e+08 -2.6988609921664786e+08 -2.6990801396741951e+08 -2.6992859871737891e+08 -2.6994814060660994e+08 -2.6996690048408341e+08 -2.6998512894099450e+08 -2.7000292956165808e+08 -2.7001940752494603e+08 -2.7003272805505288e+08 -2.7004665699644750e+08 -2.7006467041697550e+08 -2.7008412557288522e+08 -2.7010304738334602e+08 -2.7012037535608345e+08 -2.7013477081316936e+08 -2.7014422513030791e+08 -2.7014575810585123e+08 -2.7013503702897424e+08 -2.7010587125420511e+08 -2.7004954989670151e+08 -2.6995392071498621e+08 -2.6980222146251124e+08 -2.6957153225283825e+08 -2.6923083835748893e+08 -2.6873852713931799e+08 -2.6797717183562881e+08 -2.6688598679592496e+08 -2.6534541604680920e+08 -2.6320100567601547e+08 -2.6025789481817791e+08 -2.5627755875499421e+08 -2.5097936585184082e+08 -2.4405040894531843e+08 -2.3516777781328401e+08 -2.2403605760553962e+08 -2.1045089184479204e+08 -1.9433097184719357e+08 -1.7577246216773206e+08 -1.5514456361350548e+08 -1.3301199420912381e+08 -1.1009543232768607e+08 -8.7171559095073581e+07 -6.4967462892616250e+07 -4.4082123376866937e+07 -2.4912502918324694e+07 -7.6964973055803049e+06 7.5120364503497006e+06 2.0744357789453641e+07 3.2142019493239108e+07 4.1850490443222746e+07 5.0032937792946085e+07 5.6869865948121004e+07 6.2494809410284624e+07 6.7041631987025179e+07 7.0643895044072255e+07 7.3392179912859663e+07 7.5419604379826576e+07 7.6828061728744566e+07 7.7738903462832123e+07 7.8268104716474518e+07 7.8508172441104800e+07 7.8574186473639846e+07 7.8546850514460385e+07 7.8462089447603762e+07 7.8383044544159234e+07 7.8296999826276824e+07 7.8206518735565200e+07 7.8110739242634907e+07 7.8011626853188366e+07 7.7902425208219036e+07 7.7807406183850065e+07 7.7688180349953383e+07 7.7560659728923336e+07 7.7422517247027278e+07 7.7271936206785724e+07 7.7106708156287566e+07 7.6924345938464463e+07 7.6717170545968190e+07 7.6505992599792123e+07 7.6253907055516019e+07 7.5971405027829111e+07 7.5654403562871620e+07 7.5298507537637770e+07 7.4899185804064363e+07 7.4451892107654244e+07 7.3947643659346282e+07 7.3406749566036761e+07 7.2792112041583523e+07 7.2117614919211194e+07 7.1384815717247516e+07 7.0599457997130260e+07 6.9771310146970764e+07 6.8918961830638796e+07 6.8066439383618414e+07 6.7277080222283110e+07 6.6582632745302521e+07 6.6083151372103125e+07 6.5899387119361311e+07 6.6218982452283062e+07 6.7303097964502320e+07 6.9548221404698193e+07 7.3579489250085056e+07 8.0484295683208123e+07 3.7795651188193792e+08 +2.5146048682894464e+00 -2.6966783569637293e+08 -2.6961805915046728e+08 -2.6953730460282147e+08 -2.6943394632481128e+08 -2.6933408999903768e+08 -2.6927804930440843e+08 -2.6928349654765636e+08 -2.6932008371736401e+08 -2.6935728787902272e+08 -2.6938917582954544e+08 -2.6941956567355162e+08 -2.6944904997030866e+08 -2.6947696253953022e+08 -2.6950314020460707e+08 -2.6952773905778784e+08 -2.6955070763259852e+08 -2.6957204751123005e+08 -2.6959196158514583e+08 -2.6961071827995247e+08 -2.6962855657457203e+08 -2.6964570149800724e+08 -2.6966222665773350e+08 -2.6967720005356771e+08 -2.6968872444795632e+08 -2.6970047177553147e+08 -2.6971585937197775e+08 -2.6973220430046999e+08 -2.6974746070726269e+08 -2.6976047319136828e+08 -2.6976979030166382e+08 -2.6977327156887662e+08 -2.6976778308067811e+08 -2.6974881319194239e+08 -2.6970996332347131e+08 -2.6964228152336371e+08 -2.6953333696210593e+08 -2.6936604677453417e+08 -2.6911712414749938e+08 -2.6875513759265208e+08 -2.6823800608427402e+08 -2.6744545649624920e+08 -2.6631770478174639e+08 -2.6473445747635785e+08 -2.6254052575582606e+08 -2.5954038394617069e+08 -2.5549501681477237e+08 -2.5012362456166798e+08 -2.4311364561841756e+08 -2.3414324509912643e+08 -2.2291901845512402e+08 -2.0923966345153102e+08 -1.9302782851363671e+08 -1.7438416826058277e+08 -1.5368237686088434e+08 -1.3149084339009219e+08 -1.0853237579317710e+08 -8.5583981440368056e+07 -6.3371328070453115e+07 -4.2490735320415847e+07 -2.3335850087416902e+07 -6.1412894018386770e+06 9.0420253331029601e+06 2.2247630901340436e+07 3.3618811095857717e+07 4.3302145753363743e+07 5.1461491628855228e+07 5.8277756731580719e+07 6.3884610425054096e+07 6.8415875727573603e+07 7.2005038468300313e+07 7.4742477135091931e+07 7.6761116282120869e+07 7.8162598984782070e+07 7.9068030669767767e+07 7.9593047238912731e+07 7.9829826643971741e+07 7.9893180701306820e+07 7.9863569342146039e+07 7.9776696032564506e+07 7.9696167775957450e+07 7.9608628936056152e+07 7.9516624889705718e+07 7.9419250840042502e+07 7.9318493679902792e+07 7.9207551635712653e+07 7.9110745200397342e+07 7.8989539895521894e+07 7.8859900778000519e+07 7.8719461779985175e+07 7.8566375754507214e+07 7.8398397248426467e+07 7.8212997421474397e+07 7.8002439363870323e+07 7.7787531195222795e+07 7.7531240215919808e+07 7.7244023085383281e+07 7.6921728423484623e+07 7.6559887469287023e+07 7.6153893134258598e+07 7.5699122992460459e+07 7.5186511924704567e+07 7.4636371438713744e+07 7.4011454550010398e+07 7.3325675038004041e+07 7.2580616518557847e+07 7.1782118709434286e+07 7.0940113608943254e+07 7.0073502300650969e+07 6.9206776292757735e+07 6.8404023810251981e+07 6.7697958946030274e+07 6.7190125840521485e+07 6.7003359218771093e+07 6.7328324084337890e+07 6.8430585036229596e+07 7.0713303255915657e+07 7.4812180531904668e+07 8.1832398644565642e+07 3.7815553203322136e+08 +2.5195731910637047e+00 -2.6932787573948431e+08 -2.6927821106845778e+08 -2.6919763132521844e+08 -2.6909449067783719e+08 -2.6899482676331317e+08 -2.6893885750620079e+08 -2.6894421453090799e+08 -2.6898062034919143e+08 -2.6901762007706887e+08 -2.6904928936361349e+08 -2.6907943168871337e+08 -2.6910863299200690e+08 -2.6913622201854670e+08 -2.6916202823319995e+08 -2.6918619828602856e+08 -2.6920867051430166e+08 -2.6922943360654396e+08 -2.6924867477914441e+08 -2.6926664368288141e+08 -2.6928355735938889e+08 -2.6929961519457799e+08 -2.6931486072620004e+08 -2.6932832465969479e+08 -2.6933804710684198e+08 -2.6934760579856336e+08 -2.6936035916598088e+08 -2.6937358398227435e+08 -2.6938516343638158e+08 -2.6939384697403294e+08 -2.6939807008975691e+08 -2.6939556016544896e+08 -2.6938302924692309e+08 -2.6935578640837854e+08 -2.6930722478572774e+08 -2.6922815101973176e+08 -2.6910585539641583e+08 -2.6892293421514511e+08 -2.6865573366368765e+08 -2.6827240564505419e+08 -2.6773040123570493e+08 -2.6690659772835490e+08 -2.6574221857123250e+08 -2.6411623620607978e+08 -2.6187273200421098e+08 -2.5881552277376553e+08 -2.5470511267838591e+08 -2.4926054653164068e+08 -2.4216962382093081e+08 -2.3311160217663029e+08 -2.2179510422275165e+08 -2.0802189514626727e+08 -1.9171858613406089e+08 -1.7299031621663874e+08 -1.5221525364830664e+08 -1.2996542775676161e+08 -1.0696573846685262e+08 -8.3993482240528733e+07 -6.1772876014168337e+07 -4.0897560186373562e+07 -2.1757858645110287e+07 -4.5851113416825058e+06 1.0572688014910381e+07 2.3751343026661836e+07 3.5095857284626082e+07 4.4753911560026348e+07 5.2890043725367509e+07 5.9685558439277470e+07 6.5274254721967779e+07 6.9789910729066655e+07 7.3365933561908200e+07 7.6092496607152596e+07 7.8102329102444321e+07 7.9496822375612885e+07 8.0396834327014789e+07 8.0917660350927204e+07 8.1151148389845595e+07 8.1211841153221697e+07 8.1179954024096325e+07 8.1090968646497875e+07 8.1008957327604681e+07 8.0919924715679571e+07 8.0826398094746992e+07 8.0727429896900490e+07 8.0625028390308589e+07 8.0512346426307768e+07 8.0413752952407151e+07 8.0290568686997071e+07 8.0158811618769825e+07 8.0016076695545509e+07 7.9860486328598708e+07 7.9689758073057577e+07 7.9501321416181833e+07 7.9287381589770883e+07 7.9068744066036493e+07 7.8808248727474898e+07 7.8516317699596837e+07 7.8188731192946866e+07 7.7820946827539295e+07 7.7408281593678847e+07 7.6946036913263753e+07 7.6425065386298895e+07 7.5865680779920787e+07 7.5230487146219403e+07 7.4533428118682161e+07 7.3776113403979599e+07 7.2964478851894796e+07 7.2108620029232249e+07 7.1227749360041559e+07 7.0346823433407009e+07 6.9530680962475270e+07 6.8813001669998750e+07 6.8296818961246371e+07 6.8107050765151396e+07 6.8437383805229962e+07 6.9557785578712165e+07 7.1878089016618371e+07 7.6044558572968438e+07 8.3180158922963679e+07 3.7835112036013925e+08 +2.5245415138379630e+00 -2.6898128426413357e+08 -2.6893172886110991e+08 -2.6885132769090807e+08 -2.6874840372602296e+08 -2.6864893541244274e+08 -2.6859303714070296e+08 -2.6859830308188003e+08 -2.6863452689443833e+08 -2.6867132149572629e+08 -2.6870277133614695e+08 -2.6873266530030042e+08 -2.6876158263558322e+08 -2.6878884703454548e+08 -2.6881428055067891e+08 -2.6883802037931073e+08 -2.6885999461925012e+08 -2.6888017903054142e+08 -2.6889874509810412e+08 -2.6891592364091486e+08 -2.6893190969657701e+08 -2.6894687692618686e+08 -2.6896083870664173e+08 -2.6897278833617997e+08 -2.6898070308823419e+08 -2.6898806619998908e+08 -2.6899817702665734e+08 -2.6900827195657688e+08 -2.6901616304005063e+08 -2.6902050432745302e+08 -2.6901961798432529e+08 -2.6901109894201982e+08 -2.6899150488101584e+08 -2.6895596525528401e+08 -2.6889766457140481e+08 -2.6880716773392785e+08 -2.6867148585843313e+08 -2.6847289420585954e+08 -2.6818737190750283e+08 -2.6778265442640010e+08 -2.6721572545323458e+08 -2.6636060959273481e+08 -2.6515954364846310e+08 -2.6349076939867100e+08 -2.6119764355070025e+08 -2.5808333271318519e+08 -2.5390787037469536e+08 -2.4839015873778853e+08 -2.4121837376897794e+08 -2.3207288271024117e+08 -2.2066435208306172e+08 -2.0679762747003540e+08 -1.9040328821835825e+08 -1.7159095185640857e+08 -1.5074324123650968e+08 -1.2843579502974692e+08 -1.0539556757486340e+08 -8.2400107425367609e+07 -6.0172150790069401e+07 -3.9302639867465422e+07 -2.0178568228650216e+07 -3.0280005924845380e+06 1.2103989009096684e+07 2.5255460422261305e+07 3.6573125812058970e+07 4.6205756876188107e+07 5.4318564144335382e+07 6.1093241996766247e+07 6.6663713931073464e+07 7.1163709190966696e+07 7.4726552979311511e+07 7.7442211341537654e+07 7.9443216130198821e+07 8.0830705399998203e+07 8.1725288087456077e+07 8.2241917817582369e+07 8.2472111525299937e+07 8.2530141737110555e+07 8.2495978516885847e+07 8.2404881289186791e+07 8.2321387228701457e+07 8.2230861224287063e+07 8.2135812440296263e+07 8.2035250534211218e+07 8.1931205137892634e+07 8.1816783767709062e+07 8.1716403663308665e+07 8.1591240986942083e+07 8.1457366555558398e+07 8.1312336343430981e+07 8.1154242328437194e+07 8.0980765083958104e+07 8.0789292436235130e+07 8.0571971804108009e+07 8.0349605866770908e+07 8.0084907328024507e+07 7.9788263701315820e+07 7.9455386806813031e+07 7.9081660665451124e+07 7.8662326367361650e+07 7.8192609202925399e+07 7.7663279542395294e+07 7.7094653271001026e+07 7.6449185714851424e+07 7.5740850268964857e+07 7.4971282723727122e+07 7.4146515034481406e+07 7.3276806291812018e+07 7.2381680174981162e+07 7.1486558252511233e+07 7.0657029390911207e+07 6.9927738859074846e+07 6.9403208841117516e+07 6.9210439924721673e+07 6.9546139674982771e+07 7.0684677293057784e+07 7.3042555644482896e+07 7.7276598993705899e+07 8.4527549856521413e+07 3.7854328368575877e+08 +2.5295098366122213e+00 -2.6862806724685520e+08 -2.6857862417232591e+08 -2.6849839785155165e+08 -2.6839569635529852e+08 -2.6829642134626913e+08 -2.6824059481061134e+08 -2.6824576907870001e+08 -2.6828181021383548e+08 -2.6831839903182265e+08 -2.6834962864397123e+08 -2.6837927341864151e+08 -2.6840790581627870e+08 -2.6843484451007909e+08 -2.6845990409106761e+08 -2.6848321228561324e+08 -2.6850468691094828e+08 -2.6852429076627922e+08 -2.6854217954818815e+08 -2.6855856518626064e+08 -2.6857362065014052e+08 -2.6858749379474461e+08 -2.6860016774595487e+08 -2.6861059828269273e+08 -2.6861669965554088e+08 -2.6862186032081485e+08 -2.6862932038884568e+08 -2.6863627576917851e+08 -2.6864046719531244e+08 -2.6864045308402139e+08 -2.6863444200039017e+08 -2.6861989613019317e+08 -2.6859321846943361e+08 -2.6854935851993650e+08 -2.6848129182299256e+08 -2.6837934122786430e+08 -2.6823023840294349e+08 -2.6801593738325113e+08 -2.6771205020030546e+08 -2.6728589606505910e+08 -2.6669399181302369e+08 -2.6580750636866572e+08 -2.6456969571710682e+08 -2.6285807443609157e+08 -2.6051527974179333e+08 -2.5734383539094609e+08 -2.5310331414104128e+08 -2.4751248835535529e+08 -2.4025992586448920e+08 -2.3102712053183788e+08 -2.1952679935589126e+08 -2.0556690107983753e+08 -1.8908197835792235e+08 -1.7018612104484811e+08 -1.4926638689311182e+08 -1.2690199290108633e+08 -1.0382191028452893e+08 -8.0803902842006043e+07 -5.8569196365224689e+07 -3.7706016147374995e+07 -1.8598018361214127e+07 -1.4699945062551652e+06 1.3635892943425911e+07 2.6759949457276147e+07 3.8050584540220760e+07 4.7657650821849510e+07 5.5747023052089877e+07 6.2500778431941397e+07 6.8052959782822803e+07 7.2537243411709011e+07 7.6086869472577780e+07 7.8791594447473556e+07 8.0783750750606313e+07 8.2164221651943624e+07 8.3053365698977113e+07 8.3565793498510405e+07 8.3792689991319135e+07 8.3848056454758659e+07 8.3811616871019796e+07 8.3718408054386467e+07 8.3633431602526769e+07 8.3541412614740863e+07 8.3444842109152883e+07 8.3342686966276944e+07 8.3236998169347435e+07 8.3120837940808535e+07 8.3018671649513260e+07 8.2891531150677487e+07 8.2755539985429704e+07 8.2608215166009784e+07 8.2447618245645538e+07 8.2271392827028453e+07 8.2076885087497965e+07 8.1856184679145873e+07 8.1630091343313694e+07 8.1361190846338525e+07 8.1059836012424022e+07 8.0721670291113183e+07 8.0342004126342416e+07 7.9916002729933754e+07 7.9438815283371359e+07 7.8901129979698136e+07 7.8323264680914417e+07 7.7667526227393970e+07 7.6947917682702422e+07 7.6166100913185135e+07 7.5328203951647162e+07 7.4444649364194185e+07 7.3535271993983075e+07 7.2625958278413087e+07 7.1783046888027176e+07 7.1042148534510180e+07 7.0509273666129455e+07 7.0313504942530870e+07 7.0654569832752213e+07 7.1811237960887372e+07 7.4206680180257708e+07 7.8508277502543733e+07 8.5874544879712462e+07 3.7873202888266492e+08 +2.5344781593864796e+00 -2.6826823438914838e+08 -2.6821889791330537e+08 -2.6813885223565096e+08 -2.6803637293509656e+08 -2.6793729165327376e+08 -2.6788153700569850e+08 -2.6788661959367490e+08 -2.6792247737476373e+08 -2.6795885978251356e+08 -2.6798986838697252e+08 -2.6801926315769985e+08 -2.6804760965390500e+08 -2.6807422157381907e+08 -2.6809890599475759e+08 -2.6812178115872610e+08 -2.6814275455834407e+08 -2.6816177600178072e+08 -2.6817898533928511e+08 -2.6819457555614614e+08 -2.6820869748935667e+08 -2.6822147310704616e+08 -2.6823285519619963e+08 -2.6824176190456590e+08 -2.6824604427815422e+08 -2.6824899570905578e+08 -2.6825379689374197e+08 -2.6825760317311114e+08 -2.6825808378681904e+08 -2.6825370128373966e+08 -2.6824255036166909e+08 -2.6822196017020205e+08 -2.6818817870817626e+08 -2.6813597519979718e+08 -2.6805811589390212e+08 -2.6794468127369729e+08 -2.6778212329708746e+08 -2.6755207459717837e+08 -2.6722978007864645e+08 -2.6678214290460914e+08 -2.6616521360814914e+08 -2.6524730255302945e+08 -2.6397269069777071e+08 -2.6221816891660613e+08 -2.5982566013910505e+08 -2.5659705264442691e+08 -2.5229146842044342e+08 -2.4662756275653476e+08 -2.3929431069423825e+08 -2.2997434964068979e+08 -2.1838248350364941e+08 -2.0432975674551645e+08 -1.8775470022340026e+08 -1.6877586968902913e+08 -1.4778473789002123e+08 -1.2536406903202572e+08 -1.0224481370243983e+08 -7.9204914253668875e+07 -5.6964056606585249e+07 -3.6107730699769638e+07 -1.7016248451201167e+07 8.8869680960802012e+04 1.5168364560613578e+07 2.8264776613598451e+07 3.9528201441394076e+07 4.9109562624496207e+07 5.7175390720018856e+07 6.3908138875293531e+07 6.9441964108516544e+07 7.3910485789092541e+07 7.7446855891718730e+07 8.0140619131198421e+07 8.2123906445178777e+07 8.3497344821232140e+07 8.4381041004704952e+07 8.4889261348278970e+07 8.5112857823401913e+07 8.5165559402341008e+07 8.5126843231428862e+07 8.5031523129834786e+07 8.4945064666489363e+07 8.4851553133992895e+07 8.4753461378058270e+07 8.4649713501118109e+07 8.4542381825008377e+07 8.4424483320036262e+07 8.4320531320609793e+07 8.4191413626734808e+07 8.4053306398547873e+07 8.3903687698387146e+07 8.3740588664619714e+07 8.3561615940556571e+07 8.3364074067727074e+07 8.3139994979165763e+07 8.2910175333567575e+07 8.2637074202788308e+07 8.2331009645530269e+07 8.1987556762649223e+07 8.1601952443555146e+07 8.1169286045727178e+07 8.0684630665870488e+07 8.0138592373390004e+07 7.9551490866848633e+07 7.8885484742894068e+07 7.8154606640366629e+07 7.7360544493589804e+07 7.6509522382435486e+07 7.5612126297529519e+07 7.4688502148234874e+07 7.3765001121043012e+07 7.2908711326983571e+07 7.2156208797558293e+07 7.1614991701364964e+07 7.1416224142563358e+07 7.1762652497150764e+07 7.2937445444591403e+07 7.5370439748148903e+07 7.9739569896084338e+07 8.7221117523474261e+07 3.7891736287246346e+08 +2.5394464821607379e+00 -2.6790178715687203e+08 -2.6785255883794710e+08 -2.6777269902126583e+08 -2.6767043927564180e+08 -2.6757155440232217e+08 -2.6751587095629752e+08 -2.6752086189816174e+08 -2.6755653565714949e+08 -2.6759271104515955e+08 -2.6762349786982018e+08 -2.6765264183332247e+08 -2.6768070147144127e+08 -2.6770698555749696e+08 -2.6773129360440585e+08 -2.6775373435601422e+08 -2.6777420493448946e+08 -2.6779264212932408e+08 -2.6780916988702697e+08 -2.6782396219279242e+08 -2.6783714768823671e+08 -2.6784882237536484e+08 -2.6785890861421856e+08 -2.6786628681215829e+08 -2.6786874463124222e+08 -2.6786948011724269e+08 -2.6787161438912216e+08 -2.6787226212740463e+08 -2.6786902090553302e+08 -2.6786025717369285e+08 -2.6784395149903253e+08 -2.6781729971001977e+08 -2.6777639450135905e+08 -2.6771582450125861e+08 -2.6762814634697098e+08 -2.6750319785468063e+08 -2.6732715102008089e+08 -2.6708131691060963e+08 -2.6674057329251125e+08 -2.6627140750387192e+08 -2.6562940434730870e+08 -2.6468001285827592e+08 -2.6336854472790900e+08 -2.6157107065444630e+08 -2.5912880451812711e+08 -2.5584300652249897e+08 -2.5147235786093587e+08 -2.4573540950953275e+08 -2.3832155902721351e+08 -2.2891460419926620e+08 -2.1723144212874749e+08 -2.0308623534860346e+08 -1.8642149756249252e+08 -1.6736024373605281e+08 -1.4629834150181624e+08 -1.2382207105174765e+08 -1.0066432487332986e+08 -7.7603187338574961e+07 -5.5356775280030452e+07 -3.4507825087479614e+07 -1.5433297791569130e+07 1.6485548496878140e+06 1.6701368718849540e+07 2.9769908486328971e+07 4.1005944598389305e+07 5.0561461619272307e+07 5.8603637524679884e+07 6.5315294560563572e+07 7.0830698840724096e+07 7.5283408820700958e+07 7.8806485185421288e+07 8.1489258696353227e+07 8.3463656792267859e+07 8.4830048693742201e+07 8.5708287943333641e+07 8.6212295416696891e+07 8.6432589152157024e+07 8.6482624770998180e+07 8.6441631837558478e+07 8.6344200797959134e+07 8.6256260732115000e+07 8.6161257122966021e+07 8.6061644617929071e+07 8.5956304540966108e+07 8.5847330539265648e+07 8.5727694373684332e+07 8.5621957180098474e+07 8.5490862957252935e+07 8.5350640378477186e+07 8.5198728569199950e+07 8.5033128262710318e+07 8.4851409155783281e+07 8.4650834167694420e+07 8.4423377560895100e+07 8.4189832767213047e+07 8.3912532409429610e+07 8.3601759705202535e+07 8.3253021429257527e+07 8.2861480941239595e+07 8.2422151769641161e+07 8.1930030951301351e+07 8.1375642487992093e+07 8.0779307774251223e+07 8.0103037407834426e+07 7.9360893509202510e+07 7.8554590071874425e+07 7.7690447190951958e+07 7.6779214226963997e+07 7.5841348051829308e+07 7.4903664472354293e+07 7.4034000661938414e+07 7.3269897829662144e+07 7.2720341291658893e+07 7.2518575928263634e+07 7.2870365966487989e+07 7.4063277687481716e+07 7.6533811556225225e+07 8.0970452059647828e+07 8.8567241415611818e+07 3.7909929262528837e+08 +2.5444148049349962e+00 -2.6752874094428879e+08 -2.6747962263584307e+08 -2.6739994015228993e+08 -2.6729790371641463e+08 -2.6719921521391726e+08 -2.6714360465774748e+08 -2.6714850346142271e+08 -2.6718399256079245e+08 -2.6721996031938374e+08 -2.6725052460136712e+08 -2.6727941696221521e+08 -2.6730718879372516e+08 -2.6733314399640286e+08 -2.6735707446835577e+08 -2.6737907943865430e+08 -2.6739904561595401e+08 -2.6741689674500054e+08 -2.6743274080967191e+08 -2.6744673274160460e+08 -2.6745897892467895e+08 -2.6746954931568480e+08 -2.6747833576099336e+08 -2.6748418081998292e+08 -2.6748480859333551e+08 -2.6748332150297862e+08 -2.6748278092627367e+08 -2.6748026079569492e+08 -2.6747328684770784e+08 -2.6746012920605221e+08 -2.6743865404958266e+08 -2.6740592360440609e+08 -2.6735787496100679e+08 -2.6728891583952451e+08 -2.6719139295432636e+08 -2.6705490116450304e+08 -2.6686533226106471e+08 -2.6660367559703574e+08 -2.6624444180416182e+08 -2.6575370263456628e+08 -2.6508657775285205e+08 -2.6410565221205083e+08 -2.6275727415931270e+08 -2.6091679767788240e+08 -2.5842473286726674e+08 -2.5508171928217295e+08 -2.5064600731299141e+08 -2.4483605637558055e+08 -2.3734170181227911e+08 -2.2784791853233594e+08 -2.1607371297235262e+08 -2.0183637787887877e+08 -1.8508241419779378e+08 -1.6593928917076609e+08 -1.4480724500357774e+08 -1.2227604655518317e+08 -9.9080490778284341e+07 -7.5998767688461408e+07 -5.3747396049114786e+07 -3.2906340761638612e+07 -1.3849205559091933e+07 3.2090239976056237e+06 1.8234870392310664e+07 3.1275311784280941e+07 4.2483782204906635e+07 5.2013317249688342e+07 6.0031733948379718e+07 6.6722216824912295e+07 7.2219136013678312e+07 7.6655985104129627e+07 8.0165730401169270e+07 8.2837486544504181e+07 8.4802975467175215e+07 8.6162307151828647e+07 8.7035080549735397e+07 8.7534869849339098e+07 8.7751858203588217e+07 8.7799226846903592e+07 8.7755957023965999e+07 8.7656415435811684e+07 8.7566994205997914e+07 8.7470499017417446e+07 8.7369366294281036e+07 8.7262434582214385e+07 8.7151818840442225e+07 8.7030445664029092e+07 8.6922923825436085e+07 8.6789853778270379e+07 8.6647516602399275e+07 8.6493312500204742e+07 8.6325211810810924e+07 8.6140747296991497e+07 8.5937140270892709e+07 8.5706307373683140e+07 8.5469038666708305e+07 8.5187540570554480e+07 8.4872061387489468e+07 8.4518039590216100e+07 8.4120565034550697e+07 8.3674575446727723e+07 8.3174991830623060e+07 8.2612256177200481e+07 8.2006691437377885e+07 8.1320160456796244e+07 8.0566754743675143e+07 7.9748214341469556e+07 7.8870955326652989e+07 7.7945890371968210e+07 7.6993787202314854e+07 7.6041926106529638e+07 7.5158892928257063e+07 7.4383193892600462e+07 7.3825300861585811e+07 7.3620538782653376e+07 7.3977688619150996e+07 7.5188712714372396e+07 7.7696772896339178e+07 8.2200899967383578e+07 8.9912890281251758e+07 3.7927782515931040e+08 +2.5493831277092545e+00 -2.6714909607946497e+08 -2.6710009104038289e+08 -2.6702058734745219e+08 -2.6691877295979950e+08 -2.6682028326761094e+08 -2.6676474571632630e+08 -2.6676955194943848e+08 -2.6680485581172273e+08 -2.6684061530806017e+08 -2.6687095629652449e+08 -2.6689959626167563e+08 -2.6692707934948575e+08 -2.6695270462787235e+08 -2.6697625633578637e+08 -2.6699782416994786e+08 -2.6701728438191664e+08 -2.6703454764719489e+08 -2.6704970592869484e+08 -2.6706289505101660e+08 -2.6707419907956934e+08 -2.6708366184696332e+08 -2.6709114460077396e+08 -2.6709545194586566e+08 -2.6709424424735683e+08 -2.6709052802759704e+08 -2.6708730476154861e+08 -2.6708160754626840e+08 -2.6707089011396262e+08 -2.6705332603870469e+08 -2.6702666685602111e+08 -2.6698784091447198e+08 -2.6693262940517890e+08 -2.6685525883625633e+08 -2.6674786569590706e+08 -2.6659980160463944e+08 -2.6639667791922680e+08 -2.6611916214173445e+08 -2.6574139778733632e+08 -2.6522904128072703e+08 -2.6453674776046723e+08 -2.6352423575499707e+08 -2.6213889555714941e+08 -2.6025536822788423e+08 -2.5771346538476634e+08 -2.5431321338767722e+08 -2.4981244182818791e+08 -2.4392953130805790e+08 -2.3635477017689571e+08 -2.2677432712430519e+08 -2.1490933391094133e+08 -2.0058022543321770e+08 -1.8373749402438197e+08 -1.6451305201369172e+08 -1.4331149566919908e+08 -1.2072604310176848e+08 -9.7493358333322480e+07 -7.4391700807395637e+07 -5.2135962474276520e+07 -3.1303319060869418e+07 -1.2264010813692745e+07 4.7702402401281558e+06 1.9768834671686180e+07 3.2780953330436982e+07 4.3961682566095844e+07 5.3465099067868136e+07 6.1459650579549208e+07 6.8128877109478638e+07 7.3607247763529688e+07 7.8028187337285772e+07 8.1524564685373589e+07 8.4185276175305679e+07 8.6141836242476016e+07 8.7494094174356788e+07 8.8361392954776525e+07 8.8856958887481108e+07 8.9070639299366921e+07 8.9115340011786655e+07 8.9069793220336229e+07 8.8968141515819877e+07 8.8877239589630067e+07 8.8779253348090917e+07 8.8676600967237100e+07 8.8568078216030374e+07 8.8455821351815462e+07 8.8332711847943291e+07 8.8223405948286504e+07 8.8088360819821149e+07 8.7943909841701895e+07 8.7787414307397261e+07 8.7616814173319668e+07 8.7429605282169521e+07 8.7222967354165912e+07 8.6988759460055068e+07 8.6747768147091225e+07 8.6462073882831618e+07 8.6141889980709940e+07 8.5782586636605278e+07 8.5379180230011255e+07 8.4926532712968200e+07 8.4419489084874794e+07 8.3848409384662122e+07 8.3233617979360580e+07 8.2536830212561220e+07 8.1772166885590285e+07 8.0941394082265571e+07 8.0051023824551165e+07 7.9112132036700010e+07 7.8145797180726513e+07 7.7179763880447268e+07 7.6283366243047267e+07 7.5496075329016417e+07 7.4929848915980831e+07 7.4722091268753260e+07 7.5084598913870975e+07 7.6313728631546617e+07 7.8859301144957080e+07 8.3430889682694733e+07 9.1258037943033293e+07 3.7945296754024839e+08 +2.5543514504835128e+00 -2.6676286417654890e+08 -2.6671396990920809e+08 -2.6663464868120477e+08 -2.6653305849265042e+08 -2.6643476627533218e+08 -2.6637930177567759e+08 -2.6638401524470213e+08 -2.6641913335529491e+08 -2.6645468391754830e+08 -2.6648480087348902e+08 -2.6651318764901268e+08 -2.6654038106727400e+08 -2.6656567539170602e+08 -2.6658884715876883e+08 -2.6660997651544201e+08 -2.6662892921387482e+08 -2.6664560283648285e+08 -2.6666007326771086e+08 -2.6667245717186612e+08 -2.6668281623602250e+08 -2.6669116809009138e+08 -2.6669734329998279e+08 -2.6670010841034311e+08 -2.6669705987810722e+08 -2.6669110805530655e+08 -2.6668519435369924e+08 -2.6667631095077613e+08 -2.6666183940931404e+08 -2.6663985653334656e+08 -2.6660799896506923e+08 -2.6656306090605155e+08 -2.6650066735783637e+08 -2.6641486331942385e+08 -2.6629757475853595e+08 -2.6613790978493166e+08 -2.6592119910225195e+08 -2.6562778823808932e+08 -2.6523145362606826e+08 -2.6469743663740340e+08 -2.6397992851733321e+08 -2.6293577884006450e+08 -2.6151342569916067e+08 -2.5958680075693160e+08 -2.5699502247897905e+08 -2.5353751150874165e+08 -2.4897168665736455e+08 -2.4301586244977915e+08 -2.3536079542424890e+08 -2.2569386461751729e+08 -2.1373834295525420e+08 -1.9931781921232501e+08 -1.8238678100778317e+08 -1.6308157831924140e+08 -1.4181114076934493e+08 -1.1917210821328226e+08 -9.5902974388091087e+07 -7.2782032110680252e+07 -5.0522518011732936e+07 -2.9698801210536845e+07 -1.0677752497769900e+07 6.3321668109770585e+06 2.1303226764632683e+07 3.4286800062364556e+07 4.5439614098942041e+07 5.4916776734863572e+07 6.2887358113014109e+07 6.9535246959458292e+07 7.4995006328820288e+07 7.9399988319058686e+07 8.2882961284177825e+07 8.5532601187016621e+07 8.7480212988668263e+07 8.8825383837677449e+07 8.9687199386094451e+07 9.0178536868920118e+07 9.0388906857206911e+07 9.0430938743176565e+07 9.0383114952306405e+07 9.0279353605819389e+07 9.0186971479918748e+07 9.0087494740768194e+07 8.9983323292339996e+07 8.9873210128845066e+07 8.9759312791482717e+07 8.9634467677051678e+07 8.9523378335104078e+07 8.9386358906817198e+07 8.9239794962012380e+07 8.9081008900857568e+07 8.8907910308899716e+07 8.8717958123027429e+07 8.8508290488101050e+07 8.8270708955657557e+07 8.8025996416623443e+07 8.7736107635898322e+07 8.7411220865531862e+07 8.7046638051556498e+07 8.6637302125684828e+07 8.6177999295630381e+07 8.5663498586012185e+07 8.5084078143613100e+07 8.4460063612779006e+07 8.3753023086520940e+07 8.2977106564602852e+07 8.2134106161011517e+07 8.1230629805600807e+07 8.0277916610151485e+07 7.9297355651921540e+07 7.8317155733602554e+07 7.7407398805245265e+07 7.6608520562539667e+07 7.6033964039891377e+07 7.5823212029686332e+07 7.6191075389837846e+07 7.7438303627276003e+07 8.0021373763057515e+07 8.4660397358677670e+07 9.2602658321721047e+07 3.7962472688088107e+08 +2.5593197732577710e+00 -2.6637005262882608e+08 -2.6632126979922938e+08 -2.6624213220988801e+08 -2.6614076594389677e+08 -2.6604267155067602e+08 -2.6598728103778079e+08 -2.6599190148606777e+08 -2.6602683334097889e+08 -2.6606217425546375e+08 -2.6609206645338121e+08 -2.6612019924171394e+08 -2.6614710207809204e+08 -2.6617206442819226e+08 -2.6619485508913830e+08 -2.6621554464116719e+08 -2.6623398829406136e+08 -2.6625007051403424e+08 -2.6626385105074951e+08 -2.6627542735588291e+08 -2.6628483867791858e+08 -2.6629207636808485e+08 -2.6629694022675070e+08 -2.6629815863550881e+08 -2.6629326397306556e+08 -2.6628507015220970e+08 -2.6627645836431485e+08 -2.6626437978340304e+08 -2.6624614364116406e+08 -2.6621972975498956e+08 -2.6618265962809169e+08 -2.6613159304898444e+08 -2.6606199854769075e+08 -2.6596773932290131e+08 -2.6584053053509036e+08 -2.6566923652148628e+08 -2.6543890712502530e+08 -2.6512956578891551e+08 -2.6471462191354966e+08 -2.6415890211008823e+08 -2.6341613438147759e+08 -2.6234029703171632e+08 -2.6088088157373115e+08 -2.5891111392724666e+08 -2.5626942476525444e+08 -2.5275463651881653e+08 -2.4812376724838832e+08 -2.4209507813135383e+08 -2.3435980903184959e+08 -2.2460656580949247e+08 -2.1256077824682617e+08 -1.9804920051946601e+08 -1.8103031918126029e+08 -1.6164491417285892e+08 -1.4030622756911618e+08 -1.1761428937233125e+08 -9.4309385724183485e+07 -7.1169806923570618e+07 -4.8907106012444347e+07 -2.8092828321784724e+07 -9.0904694355304595e+06 7.8947670627488494e+06 2.2838011996330913e+07 3.5792819032642692e+07 4.6917545332543641e+07 5.6368320021312386e+07 6.4314827350546688e+07 7.0941298024695739e+07 7.6382384050784290e+07 8.0771360949281126e+07 8.4240893543604180e+07 8.6879435276571244e+07 8.8818079674067169e+07 9.0156150315227762e+07 9.1012474168440238e+07 9.1499578227974564e+07 9.1706635391175225e+07 9.1745997614861220e+07 9.1695896841269732e+07 9.1590026369428933e+07 9.1496164569471985e+07 9.1395197917138219e+07 9.1289508020504907e+07 9.1177805102304906e+07 9.1062267972761899e+07 9.0935687998226881e+07 9.0822815867526159e+07 9.0683822958697498e+07 9.0535146923830062e+07 9.0374071285296127e+07 9.0198475270320520e+07 9.0005780925453454e+07 8.9793084836928576e+07 8.9552131090212256e+07 8.9303698776866376e+07 8.9009617212395981e+07 8.8680029515499905e+07 8.8310169410500854e+07 8.7894906411540762e+07 8.7428951013271421e+07 8.6906996296565533e+07 8.6319238577944025e+07 8.5686004639957532e+07 8.4968715578968212e+07 8.4181550498446614e+07 8.3326327531699568e+07 8.2409750477004468e+07 8.1443221566450149e+07 8.0448440365102097e+07 7.9454079688739493e+07 7.8530968895738065e+07 7.7720508098123983e+07 7.7137624899250671e+07 7.6923879789105430e+07 7.7297096667326674e+07 7.8562415972080007e+07 8.1182968296539322e+07 8.5889399238123164e+07 9.3946725436113581e+07 3.7979311034056276e+08 +2.5642880960320293e+00 -2.6597067118271407e+08 -2.6592200034329662e+08 -2.6584304452939862e+08 -2.6574190424355292e+08 -2.6564400833449334e+08 -2.6558869206479231e+08 -2.6559321907182327e+08 -2.6562796410297301e+08 -2.6566309462936881e+08 -2.6569276135749903e+08 -2.6572063935740861e+08 -2.6574725071331373e+08 -2.6577188007783574e+08 -2.6579428847950071e+08 -2.6581453691327998e+08 -2.6583247000514871e+08 -2.6584795908149511e+08 -2.6586104770270571e+08 -2.6587181405561516e+08 -2.6588027489009809e+08 -2.6588639520390221e+08 -2.6588994395015684e+08 -2.6588961124442974e+08 -2.6588286522028667e+08 -2.6587242308593675e+08 -2.6586110565612856e+08 -2.6584582302012342e+08 -2.6582381191896111e+08 -2.6579295497093070e+08 -2.6575065829851118e+08 -2.6569344701687747e+08 -2.6561663290729064e+08 -2.6551389708457276e+08 -2.6537674362354234e+08 -2.6519379283672473e+08 -2.6494981350951082e+08 -2.6462450690380034e+08 -2.6419091545160219e+08 -2.6361345131242588e+08 -2.6284537992021015e+08 -2.6173780610349491e+08 -2.6024128037870878e+08 -2.5822832660934934e+08 -2.5553669306547934e+08 -2.5196461149324980e+08 -2.4726870924536303e+08 -2.4116720686913627e+08 -2.3335184264959729e+08 -2.2351246565148827e+08 -2.1137667805729932e+08 -1.9677441075735089e+08 -1.7966815264474848e+08 -1.6020310569029221e+08 -1.3879680332707524e+08 -1.1605263402064340e+08 -9.2712639053813815e+07 -6.9555070480045512e+07 -4.7289769721233465e+07 -2.6485441390850406e+07 -7.5022003323086053e+06 9.4580044674923904e+06 2.4373155809928212e+07 3.7298977409401260e+07 4.8395444908731893e+07 5.7819698807410851e+07 6.5742029200981259e+07 7.2347002060133755e+07 7.7769353373605832e+07 8.2142278229413658e+07 8.5598334909788951e+07 8.8225752240313187e+07 9.0155410365558743e+07 9.1486367878439113e+07 9.2337191723691672e+07 9.2820057496000886e+07 9.3023799511922926e+07 9.3060491297030091e+07 9.3008113605017439e+07 9.2900134566511691e+07 9.2804793647076368e+07 9.2702337694694743e+07 9.2595129998547807e+07 9.2481838013681889e+07 9.2364661804692030e+07 9.2236347753702432e+07 9.2121693522189066e+07 9.1980727990413725e+07 9.1829940782483920e+07 9.1666576560198218e+07 9.1488484205348298e+07 9.1293048889883906e+07 9.1077325659544572e+07 9.0833001187019184e+07 9.0580850623209089e+07 9.0282578088321775e+07 8.9948291497198999e+07 8.9573156381703988e+07 8.9151968870107323e+07 8.8679363776315004e+07 8.8149958270564064e+07 8.7553866902059674e+07 8.6911417452871099e+07 8.6183884279374018e+07 8.5385475493096203e+07 8.4518035235671818e+07 8.3588363132422835e+07 8.2608024465530619e+07 8.1599029153722018e+07 8.0590513852029070e+07 7.9654054878219202e+07 7.8832016522184864e+07 7.8240810240962982e+07 7.8024073351413995e+07 7.8402641447537675e+07 7.9686044018908933e+07 8.2344062376621217e+07 8.7117871654037848e+07 9.5290213403674394e+07 3.7995812512473786e+08 +2.5692564188062876e+00 -2.6556472583820060e+08 -2.6551616792444709e+08 -2.6543739624207202e+08 -2.6533648120341083e+08 -2.6523878571448371e+08 -2.6518354324573445e+08 -2.6518797659040478e+08 -2.6522253415104467e+08 -2.6525745354433426e+08 -2.6528689410522485e+08 -2.6531451651351833e+08 -2.6534083550404543e+08 -2.6536513088011941e+08 -2.6538715588164586e+08 -2.6540696189691350e+08 -2.6542438292901623e+08 -2.6543927713984144e+08 -2.6545167184792915e+08 -2.6546162592216223e+08 -2.6546913355695868e+08 -2.6547413332067275e+08 -2.6547636323825401e+08 -2.6547447505941835e+08 -2.6546587250771961e+08 -2.6545317582371801e+08 -2.6543914529223338e+08 -2.6542064983756179e+08 -2.6539485355342126e+08 -2.6535954164996403e+08 -2.6531200463166213e+08 -2.6524863268527380e+08 -2.6516458057156798e+08 -2.6505334704565695e+08 -2.6490622482595325e+08 -2.6471158995741010e+08 -2.6445392998296455e+08 -2.6411262389895827e+08 -2.6366034724764282e+08 -2.6306109806620580e+08 -2.6226767990905368e+08 -2.6112832203756779e+08 -2.5959463951999775e+08 -2.5753845788093853e+08 -2.5479684840592480e+08 -2.5116745970816669e+08 -2.4640653848577413e+08 -2.4023227736392716e+08 -2.3233692809679750e+08 -2.2241159924559078e+08 -2.1018608078466922e+08 -1.9549349142633224e+08 -1.7830032556127724e+08 -1.5875619901356888e+08 -1.3728291529201961e+08 -1.1448718955750789e+08 -9.1112781018252522e+07 -6.7937867921523586e+07 -4.5670552275732338e+07 -2.4876681298273575e+07 -5.9129837739371005e+06 1.1021842617217481e+07 2.5908623767042316e+07 3.8805242476632319e+07 4.9873281582378469e+07 5.9270883083767362e+07 6.7168934680854261e+07 7.3752330925736681e+07 7.9155886845059067e+07 8.3512713262682319e+07 8.6955258929279298e+07 8.9571525973801076e+07 9.1492179228554681e+07 9.2816010896663383e+07 9.3661326571423694e+07 9.4139949301513344e+07 9.4340373927407071e+07 9.4374394556579053e+07 9.4319740057986379e+07 9.4209653053411752e+07 9.4112833597597167e+07 9.4008888987127170e+07 9.3900164169352517e+07 9.3785283836514369e+07 9.3666469292015851e+07 9.3536421981467292e+07 9.3419986371639878e+07 9.3277049112198710e+07 9.3124151688833892e+07 9.2958499920260549e+07 9.2777912356484890e+07 9.2579737311409771e+07 9.2360988309081435e+07 9.2113294664181724e+07 9.1857427445100695e+07 9.1554965833619550e+07 9.1215982470687523e+07 9.0835574726280123e+07 9.0408465376064047e+07 8.9929213587333754e+07 8.9392360653495386e+07 8.8787939421230540e+07 8.8136278533932015e+07 8.7398505866717145e+07 8.6588858443434045e+07 8.5709206402189761e+07 8.4766445152364686e+07 8.3772302952739462e+07 8.2749099936088175e+07 8.1726436413344994e+07 8.0776635198705316e+07 7.9943024503244445e+07 7.9343498893025249e+07 7.9123771602059603e+07 7.9507688513158739e+07 8.0809166203265786e+07 8.3504633719957784e+07 8.8345791029893667e+07 9.6633096441048950e+07 3.8011977848446143e+08 +2.5742247415805459e+00 -2.6515222584453896e+08 -2.6510378236866561e+08 -2.6502519322585222e+08 -2.6492450568287787e+08 -2.6482701166875699e+08 -2.6477184329830104e+08 -2.6477618275662845e+08 -2.6481055217375496e+08 -2.6484525970410442e+08 -2.6487447341283903e+08 -2.6490183942731106e+08 -2.6492786517985114e+08 -2.6495182557348624e+08 -2.6497346604497179e+08 -2.6499282835577461e+08 -2.6500973584608945e+08 -2.6502403348862740e+08 -2.6503573230874696e+08 -2.6504487180650061e+08 -2.6505142356134933e+08 -2.6505529963979566e+08 -2.6505620705868983e+08 -2.6505275910270357e+08 -2.6504229492313278e+08 -2.6502733753279570e+08 -2.6501058653575486e+08 -2.6498886961213091e+08 -2.6495927805569246e+08 -2.6491949946167788e+08 -2.6486670848422614e+08 -2.6479716013115183e+08 -2.6470585187814251e+08 -2.6458609984988427e+08 -2.6442898514734572e+08 -2.6422263931418741e+08 -2.6395126847677895e+08 -2.6359392929496536e+08 -2.6312293051653653e+08 -2.6250185639951959e+08 -2.6168304933045712e+08 -2.6051186102311999e+08 -2.5894097661038229e+08 -2.5684152702512193e+08 -2.5404991201629150e+08 -2.5036320463820195e+08 -2.4553728099930862e+08 -2.3929031849819997e+08 -2.3131509736142483e+08 -2.2130400184351340e+08 -2.0898902495252407e+08 -1.9420648412264949e+08 -1.7692688215581071e+08 -1.5730424031075594e+08 -1.3576461070231149e+08 -1.1291800333767782e+08 -8.9509858186660752e+07 -6.6318244296012051e+07 -4.4049496705468260e+07 -2.3266588808039654e+07 -4.3228582260800293e+06 1.2586245224492982e+07 2.7444381548200350e+07 4.0311581634754211e+07 5.1351024221586078e+07 6.0721842951348960e+07 6.8595514914561167e+07 7.5157256587504119e+07 8.0541957116427377e+07 8.4882639254339606e+07 8.8311639249644950e+07 9.0916730472637028e+07 9.2828360527699605e+07 9.4145053837825805e+07 9.4984853329087913e+07 9.5459228370798305e+07 9.5656333442671135e+07 9.5687682257774532e+07 9.5630751111510143e+07 9.5518556783249065e+07 9.5420259402908757e+07 9.5314826804904118e+07 9.5204585572302490e+07 9.5088117640597776e+07 9.4967665535879642e+07 9.4835885815721110e+07 9.4717669584322467e+07 9.4572761530107826e+07 9.4417754889395028e+07 9.4249816655657992e+07 9.4066735061600208e+07 9.3865821580368534e+07 9.3644048233608127e+07 9.3392987034000203e+07 9.3133404826241344e+07 9.2826756112106621e+07 9.2483078189595982e+07 9.2097400298853099e+07 9.1664371897251204e+07 9.1178476541022152e+07 9.0634179682540610e+07 9.0021432532030731e+07 8.9360564456083149e+07 8.8612557109685034e+07 8.7791676333002076e+07 8.6899818248431876e+07 8.5943974004372284e+07 8.4936034759600073e+07 8.3898630715402275e+07 8.2861825646463320e+07 8.1898688386525869e+07 8.1053510791618794e+07 8.0445669765078992e+07 8.0222953507715136e+07 8.0612216728681639e+07 8.1931761044093147e+07 8.4664660128894791e+07 8.9573133879952744e+07 9.7975348863774300e+07 3.8027807771591735e+08 +2.5791930643548042e+00 -2.6473318113131803e+08 -2.6468484933062199e+08 -2.6460644662862799e+08 -2.6450598733969769e+08 -2.6440869535930139e+08 -2.6435360109844694e+08 -2.6435784643720028e+08 -2.6439202704834104e+08 -2.6442652201002088e+08 -2.6445550819202918e+08 -2.6448261701470709e+08 -2.6450834866895700e+08 -2.6453197309336618e+08 -2.6455322791698343e+08 -2.6457214525070557e+08 -2.6458853773436847e+08 -2.6460223712471002e+08 -2.6461323810600737e+08 -2.6462156075669417e+08 -2.6462715398432806e+08 -2.6462990328130037e+08 -2.6462948457719952e+08 -2.6462447259444177e+08 -2.6461214175179371e+08 -2.6459491757904327e+08 -2.6457543884813565e+08 -2.6455049191964850e+08 -2.6451709513565391e+08 -2.6447283827485406e+08 -2.6441477991245410e+08 -2.6433903963205299e+08 -2.6424045736472407e+08 -2.6411216634272313e+08 -2.6394503579492474e+08 -2.6372695254024458e+08 -2.6344184112611622e+08 -2.6306843581770116e+08 -2.6257867867719123e+08 -2.6193574054575926e+08 -2.6109150337240040e+08 -2.5988843945531434e+08 -2.5828030946781987e+08 -2.5613755352880472e+08 -2.5329590532723385e+08 -2.4955186995507291e+08 -2.4466096300573337e+08 -2.3834135933487582e+08 -2.3028638259712660e+08 -2.2018970884354222e+08 -2.0778554920641610e+08 -1.9291343053499448e+08 -1.7554786671255720e+08 -1.5584727577279934e+08 -1.3424193678359190e+08 -1.1134512267048551e+08 -8.7903917054431394e+07 -6.4696244556424499e+07 -4.2426645930916458e+07 -2.1655204566866808e+07 -2.7318620336114382e+06 1.4151176122943526e+07 2.8980394953392718e+07 4.1817962400862336e+07 5.2828641808548532e+07 6.2172548622188628e+07 7.0021741134785250e+07 7.6561751117017046e+07 8.1927536943177015e+07 8.6252029512260228e+07 8.9667449619627655e+07 9.2261339832595587e+07 9.4163928626665309e+07 9.5473471268424466e+07 9.6307746712513745e+07 9.6777869527882949e+07 9.6971652960381925e+07 9.7000329362111256e+07 9.6941121774242848e+07 9.6826820806095347e+07 9.6727046141700983e+07 9.6620126255130172e+07 9.6508369343570843e+07 9.6390314592243597e+07 9.6268225733900502e+07 9.6134714487035394e+07 9.6014718424817890e+07 9.5867840546481699e+07 9.5710725726535678e+07 9.5540502152464375e+07 9.5354927754166692e+07 9.5151277182423458e+07 9.4926480976677641e+07 9.4672053903971478e+07 9.4408758445042327e+07 9.4097924682008654e+07 9.3749554501570702e+07 9.3358609047546148e+07 9.2919664494680241e+07 9.2427128825039357e+07 9.1875391687278241e+07 9.1254322722455084e+07 9.0584251883120120e+07 8.9826014867071822e+07 8.8993906234718323e+07 8.8089848079965532e+07 8.7120927243313447e+07 8.6099197704076782e+07 8.5047599580284506e+07 8.3996659909336179e+07 8.3020193053977057e+07 8.2163454220327646e+07 8.1547301848491907e+07 8.1321598116644219e+07 8.1716205040294513e+07 8.3053807143075436e+07 8.5824119492070958e+07 9.0799876809522063e+07 9.9316945087293252e+07 3.8043303015994215e+08 +2.5841613871290625e+00 -2.6430760015181786e+08 -2.6425938340532854e+08 -2.6418116582275817e+08 -2.6408093426750526e+08 -2.6398384529541251e+08 -2.6392882560337281e+08 -2.6393297672264844e+08 -2.6396696784884045e+08 -2.6400124956191882e+08 -2.6403000754864922e+08 -2.6405685838977420e+08 -2.6408229509566808e+08 -2.6410558257196203e+08 -2.6412645064123353e+08 -2.6414492173944527e+08 -2.6416079776855874e+08 -2.6417389724192289e+08 -2.6418419845682874e+08 -2.6419170201790592e+08 -2.6419633410366479e+08 -2.6419795356146848e+08 -2.6419620515651208e+08 -2.6418962495178035e+08 -2.6417542247712874e+08 -2.6415592552517131e+08 -2.6413371188912690e+08 -2.6410552653372890e+08 -2.6406831470176226e+08 -2.6401956815744901e+08 -2.6395622917191389e+08 -2.6387428166494647e+08 -2.6376840776967746e+08 -2.6363155756971639e+08 -2.6345438817696801e+08 -2.6322454147110656e+08 -2.6292566026843598e+08 -2.6253615639487568e+08 -2.6202760535212773e+08 -2.6136276494225293e+08 -2.6049305742796001e+08 -2.5925807393375733e+08 -2.5761265611452964e+08 -2.5542655708219358e+08 -2.5253484996970344e+08 -2.4873347952634469e+08 -2.4377761091364595e+08 -2.3738542911497909e+08 -2.2925081612145272e+08 -2.1906875578905258e+08 -2.0657569231293252e+08 -1.9161437244369903e+08 -1.7416332357323709e+08 -1.5438535161219478e+08 -1.3271494074646299e+08 -1.0976859481727976e+08 -8.6295004041949168e+07 -6.3071913559955731e+07 -4.0802042762476407e+07 -2.0042569103401635e+07 -1.1400334199730831e+06 1.5716599267806327e+07 3.0516629902419187e+07 4.3324352409291923e+07 5.4306103439445615e+07 6.3622970419483550e+07 7.1447584682836995e+07 7.7965786692444041e+07 8.3312599185117260e+07 8.7620857446916893e+07 9.1022663889385536e+07 9.3605328249611646e+07 9.5498857989235625e+07 9.6801237854125187e+07 9.7629981536039054e+07 9.8095847695030153e+07 9.8286307481357947e+07 9.8312310928869084e+07 9.8250827152396768e+07 9.8134420269684285e+07 9.8033168990016043e+07 9.7924762542234033e+07 9.7811490716436580e+07 9.7691849954866543e+07 9.7568125180543378e+07 9.7432883322654158e+07 9.7311108254464597e+07 9.7162261559893206e+07 9.7003039638896674e+07 9.6830531892628387e+07 9.6642465963736519e+07 9.6436079698937014e+07 9.6208262176831290e+07 9.5950470976687044e+07 9.5683464075017616e+07 9.5368447396202460e+07 9.5015387348620504e+07 9.4619177014268145e+07 9.4174319322619110e+07 9.3675146720004663e+07 9.3115973089447021e+07 9.2486586572292805e+07 9.1807317569637388e+07 9.1038856088078246e+07 9.0195525311022460e+07 8.9279273290927514e+07 8.8297282511765748e+07 8.7261769690560356e+07 8.6195984704847753e+07 8.5130917644554228e+07 8.4141127896941319e+07 8.3272833704711273e+07 8.2648374216544315e+07 8.2419684558913454e+07 8.2819632476709902e+07 8.4175283185967565e+07 8.6982989784162685e+07 9.2025996515168846e+07 1.0065785962659998e+08 3.8058464320154786e+08 +2.5891297099033208e+00 -2.6387549289132106e+08 -2.6382739091061327e+08 -2.6374936062194228e+08 -2.6364935750535154e+08 -2.6355247078306225e+08 -2.6349752622077352e+08 -2.6350158293963814e+08 -2.6353538385181481e+08 -2.6356945165816590e+08 -2.6359798078322980e+08 -2.6362457286353615e+08 -2.6364971377996430e+08 -2.6367266333713493e+08 -2.6369314355729783e+08 -2.6371116717524821e+08 -2.6372652531928477e+08 -2.6373902323051661e+08 -2.6374862277446547e+08 -2.6375530503147644e+08 -2.6375897339332867e+08 -2.6375945999416003e+08 -2.6375637835552675e+08 -2.6374822578903466e+08 -2.6373214677903324e+08 -2.6371037113195610e+08 -2.6368541551502934e+08 -2.6365398342515591e+08 -2.6361294686026818e+08 -2.6355969937470844e+08 -2.6349106671625751e+08 -2.6340289690549031e+08 -2.6328971402998453e+08 -2.6314428477629510e+08 -2.6295705390178046e+08 -2.6271541814204460e+08 -2.6240273844256088e+08 -2.6199710415715340e+08 -2.6146972436614475e+08 -2.6078294423008397e+08 -2.5988772709250188e+08 -2.5862078126138455e+08 -2.5693803477513391e+08 -2.5470855757584709e+08 -2.5176676777271086e+08 -2.4790805741274691e+08 -2.4288725131789258e+08 -2.3642255725611967e+08 -2.2820843041421738e+08 -2.1794117836623698e+08 -2.0535949315679404e+08 -1.9030935171749365e+08 -1.7277329713451651e+08 -1.5291851406006986e+08 -1.3118366978522202e+08 -1.0818846699039334e+08 -8.4683165492937475e+07 -6.1445296066663615e+07 -3.9175729899682745e+07 -1.8428722827520773e+07 4.5258951343725692e+05 1.7282478736454077e+07 3.2053052435453836e+07 4.4830719412008390e+07 5.5783378325111642e+07 6.5073078778209180e+07 7.2873017009007871e+07 7.9369335598594755e+07 8.4697116806823716e+07 8.8989096572122559e+07 9.2377256010950357e+07 9.4948670020825669e+07 9.6833123178818047e+07 9.8128328359858736e+07 9.8951532712803707e+07 9.9413137893082187e+07 9.9600272104444087e+07 9.9623602115463406e+07 9.9559842450082272e+07 9.9441330419370010e+07 9.9338603221426517e+07 9.9228710968100786e+07 9.9113925021427169e+07 9.8992699089061335e+07 9.8867339267329365e+07 9.8730367746720150e+07 9.8606814531460226e+07 9.8456000065757081e+07 9.8294672161707595e+07 9.8119881454666674e+07 9.7929325315834895e+07 9.7720204807395220e+07 9.7489367568742245e+07 9.7228214050320163e+07 9.6957497584752709e+07 9.6638300202456385e+07 9.6280552767346233e+07 9.5879080335369334e+07 9.5428312629286468e+07 9.4922506599496022e+07 9.4355900403601661e+07 9.3718200753552899e+07 9.3029738362133518e+07 9.2251057812422767e+07 9.1396510814152479e+07 9.0468071364349395e+07 8.9473017540127262e+07 8.8423728710455403e+07 8.7343764348934144e+07 8.6264577379407510e+07 8.5261471695096910e+07 8.4381628243325830e+07 8.3748866024957716e+07 8.3517192046545833e+07 8.3922478148650289e+07 8.5296167941996366e+07 8.8141249066686630e+07 9.3251469785220474e+07 1.0199806709717591e+08 3.8073292426944894e+08 +2.5940980326775791e+00 -2.6343686892989928e+08 -2.6338888030495861e+08 -2.6331103605768022e+08 -2.6321126450904095e+08 -2.6311458115502167e+08 -2.6305971263067165e+08 -2.6306367458307362e+08 -2.6309728454012567e+08 -2.6313113779468733e+08 -2.6315943739048201e+08 -2.6318576994221044e+08 -2.6321061423600695e+08 -2.6323322491167426e+08 -2.6325331619965047e+08 -2.6327089110643175e+08 -2.6328572995206755e+08 -2.6329762467506507e+08 -2.6330652066755229e+08 -2.6331237943375924e+08 -2.6331508152279142e+08 -2.6331443228706107e+08 -2.6331001392905638e+08 -2.6330028491534486e+08 -2.6328232453323272e+08 -2.6325826435490113e+08 -2.6323055977869457e+08 -2.6319587276131380e+08 -2.6315100191368985e+08 -2.6309324238935772e+08 -2.6301930319665843e+08 -2.6292489622673935e+08 -2.6280438728087246e+08 -2.6265035940648976e+08 -2.6245304477664211e+08 -2.6219959478868902e+08 -2.6187308838715792e+08 -2.6145129243529701e+08 -2.6090504974619821e+08 -2.6019629325117400e+08 -2.5927552816429260e+08 -2.5797657844274342e+08 -2.5625646387562427e+08 -2.5398357510054913e+08 -2.5099168076239085e+08 -2.4707562786763817e+08 -2.4198991099874100e+08 -2.3545277335002187e+08 -2.2715925811507657e+08 -2.1680701240191203e+08 -2.0413699073887384e+08 -1.8899841031191057e+08 -1.7137783184613851e+08 -1.5144680936512369e+08 -1.2964817107568160e+08 -1.0660478635162540e+08 -8.3068447673694834e+07 -5.9816436738319561e+07 -3.7547749930136293e+07 -1.6813706029483490e+07 2.0459687878872131e+06 1.8848778728888974e+07 3.3589628713430732e+07 4.6337031278879397e+07 5.7260435791391328e+07 6.6522844245083891e+07 7.4298009672974393e+07 8.0772370227129444e+07 8.6081062877922550e+07 9.0356720505037546e+07 9.3731200038482696e+07 9.6291339544186950e+07 9.8166698859105080e+07 9.9454717650250897e+07 1.0027237525519225e+08 1.0072971524177951e+08 1.0091352202720615e+08 1.0093417817750239e+08 1.0086814296938670e+08 1.0074752659832561e+08 1.0064332420748046e+08 1.0053194693245672e+08 1.0041564768674791e+08 1.0029283745310767e+08 1.0016584348324668e+08 1.0002714328085048e+08 9.9901812810981452e+07 9.9749031656530187e+07 9.9585598927264705e+07 9.9408526513806194e+07 9.9215481532589570e+07 9.9003628281421557e+07 9.8769772983095348e+07 9.8505259018887118e+07 9.8230834938343376e+07 9.7907459143867686e+07 9.7545026889209315e+07 9.7138295241518408e+07 9.6681620756854877e+07 9.6169184930941120e+07 9.5595150237248719e+07 9.4949142030431062e+07 9.4251491198301315e+07 9.3462597170799062e+07 9.2596840086297885e+07 9.1656219872391745e+07 9.0648110147092432e+07 8.9585052842251629e+07 8.8490916858593568e+07 8.7397617726091132e+07 8.6381203312228322e+07 8.5489816917687535e+07 8.4848756511933550e+07 8.4614099874027193e+07 8.5024721249936357e+07 8.6416440264493883e+07 8.9298875487924024e+07 9.4476273499747157e+07 1.0333754221492966e+08 3.8087788083558887e+08 +2.5990663554518374e+00 -2.6299173553746092e+08 -2.6294386300057092e+08 -2.6286620525170663e+08 -2.6276666601308832e+08 -2.6267018732637751e+08 -2.6261539436145502e+08 -2.6261926125297669e+08 -2.6265267960353822e+08 -2.6268631766352823e+08 -2.6271438705861941e+08 -2.6274045932705620e+08 -2.6276500617177665e+08 -2.6278727701189509e+08 -2.6280697829690307e+08 -2.6282410327506307e+08 -2.6283842142665756e+08 -2.6284971135469851e+08 -2.6285790193852121e+08 -2.6286293505551478e+08 -2.6286466835552388e+08 -2.6286288034330535e+08 -2.6285712182590413e+08 -2.6284581233489373e+08 -2.6282596580961949e+08 -2.6279961534481448e+08 -2.6276915492771223e+08 -2.6273120490465030e+08 -2.6268249036018491e+08 -2.6262020785929689e+08 -2.6254094946000192e+08 -2.6244029069870141e+08 -2.6231243885458481e+08 -2.6214979310136408e+08 -2.6194237280716053e+08 -2.6167708384512147e+08 -2.6133672304064432e+08 -2.6089873475998595e+08 -2.6033359571862337e+08 -2.5960282704871374e+08 -2.5865647664212105e+08 -2.5732548268369099e+08 -2.5556796204176170e+08 -2.5325162994503853e+08 -2.5020961115973273e+08 -2.4623621533461994e+08 -2.4108561691919708e+08 -2.3447610716135558e+08 -2.2610333202165437e+08 -2.1566629386135402e+08 -2.0290822417398801e+08 -1.8768159026697761e+08 -1.6997697220846230e+08 -1.4997028379099715e+08 -1.2810849177373728e+08 -1.0501760001003405e+08 -8.1450896771035239e+07 -5.8185380137333363e+07 -3.5918145328709282e+07 -1.5197558879308658e+07 3.6400665479131099e+06 2.0415463568288550e+07 3.5126325018498465e+07 4.7843255998233467e+07 5.8737245279286064e+07 6.7972237479508743e+07 7.5722534343995377e+07 8.2174863077141717e+07 8.7464410573339522e+07 9.1723702966466963e+07 9.5084470128508702e+07 9.7633311319075570e+07 9.9499559794544831e+07 1.0078038068967052e+08 1.0159248427504532e+08 1.0204555495976278e+08 1.0222603254599898e+08 1.0224401446930356e+08 1.0217570411110428e+08 1.0205298424833627e+08 1.0194730741786608e+08 1.0183444593292816e+08 1.0171663423880027e+08 1.0159224060287796e+08 1.0146361341514701e+08 1.0132318554420471e+08 1.0119607874579233e+08 1.0104133202183537e+08 1.0087579566467915e+08 1.0069644284212729e+08 1.0050091043297841e+08 1.0028632599129823e+08 1.0004945434680325e+08 9.9781581872569472e+07 9.9503452195828155e+07 9.9175900358843610e+07 9.8808785940753147e+07 9.8396798058129251e+07 9.7934220141796663e+07 9.7415158275410324e+07 9.6833699291126907e+07 9.6179387259895504e+07 9.5472553108124599e+07 9.4673451385130212e+07 9.3796490560075268e+07 9.2843696476606622e+07 9.1822538239569619e+07 9.0745720251860410e+07 8.9637420666092262e+07 8.8530017382233918e+07 8.7500301696176335e+07 8.6597378892765075e+07 8.5948024998391598e+07 8.5710387418255478e+07 8.6126341057079524e+07 8.7536079091084078e+07 9.0455847283246428e+07 9.5700384631095633e+07 1.0467625979641569e+08 3.8101952041467130e+08 +2.6040346782260957e+00 -2.6254010493316552e+08 -2.6249234641378555e+08 -2.6241487765607366e+08 -2.6231557085343167e+08 -2.6221929838085526e+08 -2.6216458120207182e+08 -2.6216835268241674e+08 -2.6220157893443599e+08 -2.6223500114978346e+08 -2.6226283966965383e+08 -2.6228865091212365e+08 -2.6231289948689246e+08 -2.6233482954735190e+08 -2.6235413977016738e+08 -2.6237081361663452e+08 -2.6238460969566426e+08 -2.6239529324167082e+08 -2.6240277658350205e+08 -2.6240698192092964e+08 -2.6240774394848272e+08 -2.6240481425918072e+08 -2.6239771218921813e+08 -2.6238481824563107e+08 -2.6236308087281850e+08 -2.6233443444691309e+08 -2.6230121140385640e+08 -2.6225999041221619e+08 -2.6220742289283904e+08 -2.6214060663839787e+08 -2.6205601654881176e+08 -2.6194909158672825e+08 -2.6181388027955407e+08 -2.6164259769921595e+08 -2.6142505019609508e+08 -2.6114789794274840e+08 -2.6079365553893223e+08 -2.6033944486055523e+08 -2.5975537670917034e+08 -2.5900256086496130e+08 -2.5803058872424424e+08 -2.5666751138845301e+08 -2.5487254809777012e+08 -2.5251274259466600e+08 -2.4942058137985253e+08 -2.4538984444578108e+08 -2.4017439622361469e+08 -2.3349258862481862e+08 -2.2504068508722532e+08 -2.1451905884625107e+08 -2.0167323268928045e+08 -1.8635893370476666e+08 -1.6857076277091569e+08 -1.4848898361453483e+08 -1.2656467901287484e+08 -1.0342695502096808e+08 -7.9830558891152024e+07 -5.6552170725725412e+07 -3.4286958456542693e+07 -1.3580321425997518e+07 5.2348450619152561e+06 2.1982497701480765e+07 3.6663107754505560e+07 4.9349361677258939e+07 6.0213776345638275e+07 6.9421229253292337e+07 7.7146562801199153e+07 8.3576786755434126e+07 8.8847133173638597e+07 9.3090017781412587e+07 9.6437040540364936e+07 9.8974559946627080e+07 1.0083168085024346e+08 1.0210529254309188e+08 1.0291183498402604e+08 1.0336063236526386e+08 1.0353777905622877e+08 1.0355308644415376e+08 1.0348250137467402e+08 1.0335767890959497e+08 1.0325052842077960e+08 1.0313618356574368e+08 1.0301686030196586e+08 1.0289088419252609e+08 1.0276062474762554e+08 1.0261847025376028e+08 1.0248958808645265e+08 1.0233287694906193e+08 1.0216523820073354e+08 1.0198360630902418e+08 1.0178558793303168e+08 1.0156827390425777e+08 1.0132838768370901e+08 1.0105715869758645e+08 1.0077532551335964e+08 1.0044360008193897e+08 1.0007180624404410e+08 9.9654565205681175e+07 9.9186087315199465e+07 9.8660403288156256e+07 9.8071524359681055e+07 9.7408913391615048e+07 9.6692901213677242e+07 9.5883597768548146e+07 9.4995439758746922e+07 9.4030478928398728e+07 9.2996279813319221e+07 9.1905709192738876e+07 9.0783254290336087e+07 8.9661755130899727e+07 8.8618745879476249e+07 8.7704293417043611e+07 8.7046650888264209e+07 8.6806034138940066e+07 8.7227316930128202e+07 8.8655063444133028e+07 9.1612142775373131e+07 9.6923780243980974e+07 1.0601419475946432e+08 3.8115785056369150e+08 +2.6090030010003540e+00 -2.6208198797004908e+08 -2.6203434621386009e+08 -2.6195706558400586e+08 -2.6185799047243941e+08 -2.6176192350868350e+08 -2.6170728315939692e+08 -2.6171095883852249e+08 -2.6174399261921194e+08 -2.6177719832904571e+08 -2.6180480529826659e+08 -2.6183035478356671e+08 -2.6185430427272347e+08 -2.6187589261917472e+08 -2.6189481073356572e+08 -2.6191103225893664e+08 -2.6192430490367445e+08 -2.6193438050103763e+08 -2.6194115479065987e+08 -2.6194453024643472e+08 -2.6194431855155754e+08 -2.6194024432368213e+08 -2.6193179535394874e+08 -2.6191731303833467e+08 -2.6189368017963484e+08 -2.6186273219899619e+08 -2.6182673984271616e+08 -2.6178224003460956e+08 -2.6172581039845178e+08 -2.6165444977378851e+08 -2.6156451570016927e+08 -2.6145131035143676e+08 -2.6130872327913201e+08 -2.6112878523367989e+08 -2.6090108934165505e+08 -2.6061204990989050e+08 -2.6024389921563873e+08 -2.5977343666393352e+08 -2.5917040734183678e+08 -2.5839551014065653e+08 -2.5739788080734968e+08 -2.5600268216030481e+08 -2.5417024106513780e+08 -2.5176693373028970e+08 -2.4862461402956060e+08 -2.4453654002045763e+08 -2.3925627623608071e+08 -2.3250224784478596e+08 -2.2397135041961691e+08 -2.1336534359311998e+08 -2.0043205562103203e+08 -1.8503048282775041e+08 -1.6715924812962499e+08 -1.4700295512370989e+08 -1.2501677990321447e+08 -1.0183289838412458e+08 -7.8207480058702603e+07 -5.4916852863865525e+07 -3.2654231560279068e+07 -1.1962033596762657e+07 6.8302667227474684e+06 2.3549845699456152e+07 3.8199943447327994e+07 5.0855316542214088e+07 6.1689998663284384e+07 7.0869790451358527e+07 7.8570066934194893e+07 8.4978113976595148e+07 9.0229204065454841e+07 9.4455638879067108e+07 9.7788885636407748e+07 1.0031506012984045e+08 1.0216303699263135e+08 1.0342942837573294e+08 1.0423040269372898e+08 1.0467492287609625e+08 1.0484873705285659e+08 1.0486136965446757e+08 1.0478851035851629e+08 1.0466158622106551e+08 1.0455296288318223e+08 1.0443713552565099e+08 1.0431630159927386e+08 1.0418874397471158e+08 1.0405685326384087e+08 1.0391297322469521e+08 1.0378231668141200e+08 1.0362364232325919e+08 1.0345390245973986e+08 1.0326999288158755e+08 1.0306949004595469e+08 1.0284944808442383e+08 1.0260654911419471e+08 1.0233196567722258e+08 1.0204643114342096e+08 1.0171053464330612e+08 1.0133406421684964e+08 1.0091157320018923e+08 1.0043719890306737e+08 9.9904896718812704e+07 9.9308602330901399e+07 9.8637697468638539e+07 9.7912512729387239e+07 9.7093013726228684e+07 9.6193665296230212e+07 9.5216545068810657e+07 9.4169312953127712e+07 9.3064998006376639e+07 9.1928396336994901e+07 9.0792809840880230e+07 8.9736514979297802e+07 8.8810539823068485e+07 8.8144613668798164e+07 8.7901019578861505e+07 8.8327628312103733e+07 8.9773372430530503e+07 9.2767740374745041e+07 9.8146437495979860e+07 1.0735132212332997e+08 3.8129287888146901e+08 +2.6139713237746123e+00 -2.6161739080241886e+08 -2.6156986642637718e+08 -2.6149277608446527e+08 -2.6139393406991529e+08 -2.6129807329948136e+08 -2.6124351039058819e+08 -2.6124708999272379e+08 -2.6127993092707303e+08 -2.6131291946558625e+08 -2.6134029421216503e+08 -2.6136558121907854e+08 -2.6138923081129432e+08 -2.6141047652099895e+08 -2.6142900149208874e+08 -2.6144476952096179e+08 -2.6145751738761994e+08 -2.6146698348882464e+08 -2.6147304694047371e+08 -2.6147559044037607e+08 -2.6147440260607898e+08 -2.6146918101763901e+08 -2.6145938184787193e+08 -2.6144330729586929e+08 -2.6141777437975749e+08 -2.6138451933149505e+08 -2.6134575107202032e+08 -2.6129796471515468e+08 -2.6123766395651215e+08 -2.6116174850592846e+08 -2.6106645834435934e+08 -2.6094695864637384e+08 -2.6079697977121904e+08 -2.6060836793233752e+08 -2.6037050283771694e+08 -2.6006955276997769e+08 -2.5968746759977648e+08 -2.5920072429330102e+08 -2.5857870243672526e+08 -2.5778169051352218e+08 -2.5675836948523918e+08 -2.5533101279848054e+08 -2.5346106016109976e+08 -2.5101422422658458e+08 -2.4782173190632540e+08 -2.4367632706345233e+08 -2.3833128445833433e+08 -2.3150511509182695e+08 -2.2289536127771583e+08 -2.1220518446991977e+08 -1.9918473241318661e+08 -1.8369627991614485e+08 -1.6574247292490953e+08 -1.4551224461574426e+08 -1.2346484152886592e+08 -1.0023547704214159e+08 -7.6581706214902937e+07 -5.3279470809569627e+07 -3.1020006771092292e+07 -1.0342735196412196e+07 8.4262940483223014e+06 2.5117472257828873e+07 3.9736798745434657e+07 5.2361088938981153e+07 6.3165882021430202e+07 7.2317892072102040e+07 7.9993018743203625e+07 8.6378817563534230e+07 9.1610596741642401e+07 9.5820540293337092e+07 9.9139979882173732e+07 1.0165478667418955e+08 1.0349360328952906e+08 1.0475276345365098e+08 1.0554816281621960e+08 1.0598840201013277e+08 1.0615888213049732e+08 1.0616883975218646e+08 1.0609370676042384e+08 1.0596468192107694e+08 1.0585458657102756e+08 1.0573727760621779e+08 1.0561493395249419e+08 1.0548579580059899e+08 1.0535227484515752e+08 1.0520667037057802e+08 1.0507424047753087e+08 1.0491360412785242e+08 1.0474176446423998e+08 1.0455557862448055e+08 1.0435259288274780e+08 1.0412982469371174e+08 1.0388391485598961e+08 1.0360597909171964e+08 1.0331674543508999e+08 1.0297668046974689e+08 1.0259553637286727e+08 1.0216779865287134e+08 1.0168753162648056e+08 1.0114861541152757e+08 1.0054491018699281e+08 9.9865716627459183e+07 9.9131364962602630e+07 9.8301676755049273e+07 9.7391144877767250e+07 9.6401872829405397e+07 9.5341615832779020e+07 9.4223565122319236e+07 9.3072825498943105e+07 9.1923160467014432e+07 9.0853588197884977e+07 8.9916097527445093e+07 8.9241892910732910e+07 8.8995323364112839e+07 8.9427254729963928e+07 9.0890985242402434e+07 9.3922618579634503e+07 9.9368333637420654e+07 1.0868761700875451e+08 3.8142461300818384e+08 +2.6189396465488706e+00 -2.6114632928827855e+08 -2.6109892106009236e+08 -2.6102202073836693e+08 -2.6092341276313964e+08 -2.6082775941229978e+08 -2.6077327334551215e+08 -2.6077675668836182e+08 -2.6080940430563951e+08 -2.6084217501096380e+08 -2.6086931686951831e+08 -2.6089434068529376e+08 -2.6091768957425401e+08 -2.6093859173567769e+08 -2.6095672254184738e+08 -2.6097203591254807e+08 -2.6098425767411900e+08 -2.6099311275207141e+08 -2.6099846360286826e+08 -2.6100017310157356e+08 -2.6099800674375209e+08 -2.6099163501270142e+08 -2.6098048238911322e+08 -2.6096281179149777e+08 -2.6093537431345177e+08 -2.6089980676588991e+08 -2.6085825611054301e+08 -2.6080717558825669e+08 -2.6074299483838940e+08 -2.6066251426762483e+08 -2.6056185610391712e+08 -2.6043604831875196e+08 -2.6027866186657587e+08 -2.6008135821724120e+08 -2.5983330347151688e+08 -2.5952041974102184e+08 -2.5912437441533118e+08 -2.5862132206725889e+08 -2.5798027700999448e+08 -2.5716111781684202e+08 -2.5611207154708242e+08 -2.5465252129763299e+08 -2.5274502479667792e+08 -2.5025463515019593e+08 -2.4701195799651384e+08 -2.4280923076323283e+08 -2.3739944856800711e+08 -2.3050122080156764e+08 -2.2181275107139596e+08 -2.1103861797587758e+08 -1.9793130261554742e+08 -1.8235636732617193e+08 -1.6432048183980498e+08 -1.4401689839500389e+08 -1.2190891094692881e+08 -9.8634737878902778e+07 -7.4953283216692001e+07 -5.1640068716855474e+07 -2.9384326103781596e+07 -8.7224659065602496e+06 1.0022889682142001e+07 2.6685342197390866e+07 4.1273640420140073e+07 5.3866647333372682e+07 6.4641396326085359e+07 7.3765505227295503e+07 8.1415390339234367e+07 8.7778870447843656e+07 9.2991284801661432e+07 9.7184696163192749e+07 1.0049029784707293e+08 1.0299371448750192e+08 1.0482335491047281e+08 1.0607527314412302e+08 1.0686509086400074e+08 1.0730104538547347e+08 1.0746818998366101e+08 1.0747547248901580e+08 1.0739806637776862e+08 1.0726694184730206e+08 1.0715537534957978e+08 1.0703658570049554e+08 1.0691273328265961e+08 1.0678201562047343e+08 1.0664686547217970e+08 1.0649953770378779e+08 1.0636533552021652e+08 1.0620273844464235e+08 1.0602880033467433e+08 1.0584033970051424e+08 1.0563487265240544e+08 1.0540937999142581e+08 1.0516046122435586e+08 1.0487917531816828e+08 1.0458624483456863e+08 1.0424201408482568e+08 1.0385619932214701e+08 1.0342321827090028e+08 1.0293706230195434e+08 1.0239153630546340e+08 1.0178042500440425e+08 1.0109294809807448e+08 1.0034943531354570e+08 9.9509564444149628e+07 9.8587856299902916e+07 9.7586440231823042e+07 9.6513166715558112e+07 9.5381389058683053e+07 9.4216520556272030e+07 9.3052786050417900e+07 9.1969944822600991e+07 9.1020946031130612e+07 9.0338468268442526e+07 9.0088925204171628e+07 9.0526175794599921e+07 9.2007881157057852e+07 9.5076755976380870e+07 1.0058944601207702e+08 1.1002305463847563e+08 3.8155306062491488e+08 +2.6239079693231289e+00 -2.6066880967850414e+08 -2.6062151910376558e+08 -2.6054480947105286e+08 -2.6044643877103868e+08 -2.6035099133118230e+08 -2.6029658282247010e+08 -2.6029996965597239e+08 -2.6033242338012856e+08 -2.6036497560359362e+08 -2.6039188391854939e+08 -2.6041664383893865e+08 -2.6043969122257379e+08 -2.6046024893589643e+08 -2.6047798456807271e+08 -2.6049284213281432e+08 -2.6050453647947139e+08 -2.6051277902724969e+08 -2.6051741553894496e+08 -2.6051828901864794e+08 -2.6051514178693497e+08 -2.6050761717032743e+08 -2.6049510788597977e+08 -2.6047583748925748e+08 -2.6044649101133403e+08 -2.6040860561417776e+08 -2.6036426616818494e+08 -2.6030988398023120e+08 -2.6024181450678310e+08 -2.6015675868267176e+08 -2.6005072079347301e+08 -2.5991859140706947e+08 -2.5975378186780298e+08 -2.5954776870265308e+08 -2.5928950422393656e+08 -2.5896466423443100e+08 -2.5855463358039945e+08 -2.5803524449847412e+08 -2.5737514627230114e+08 -2.5653380807897085e+08 -2.5545900397735402e+08 -2.5396722584702221e+08 -2.5202215457657194e+08 -2.4948818775892898e+08 -2.4619531547394317e+08 -2.4193527649036369e+08 -2.3646079641690072e+08 -2.2949059557296211e+08 -2.2072355335733265e+08 -2.0986568073769963e+08 -1.9667180588037407e+08 -1.8101078748782292e+08 -1.6289331959767157e+08 -1.4251696277131778e+08 -1.2034903518523498e+08 -9.7030727718231022e+07 -7.3322256834837735e+07 -4.9998690634997420e+07 -2.7747231456083030e+07 -7.1012652849979764e+06 1.1620016393908571e+07 2.8253420464506838e+07 4.2810435366189808e+07 5.5371960311571486e+07 6.6116511600220270e+07 7.5212601142992869e+07 8.2837153944537744e+07 8.9178245669747710e+07 9.4371241951779157e+07 9.8548080732552499e+07 1.0183981420416549e+08 1.0433181858044578e+08 1.0615226712693876e+08 1.0739693291559896e+08 1.0818116245057160e+08 1.0861282872059926e+08 1.0877663640731041e+08 1.0878124371674098e+08 1.0870156510777107e+08 1.0856834193710101e+08 1.0845530518366995e+08 1.0833503580070482e+08 1.0820967560995051e+08 1.0807737948372822e+08 1.0794060122449932e+08 1.0779155133549470e+08 1.0765557795367952e+08 1.0749102145393164e+08 1.0731498629051138e+08 1.0712425237090614e+08 1.0691630566190350e+08 1.0668809033484362e+08 1.0643616463228482e+08 1.0615153083131664e+08 1.0585490588491152e+08 1.0550651210854377e+08 1.0511602977105515e+08 1.0467780885788661e+08 1.0418576784155683e+08 1.0363363643483126e+08 1.0301512395443118e+08 1.0231936920459680e+08 1.0156670127584648e+08 1.0071665447528647e+08 9.9783777450811252e+07 9.8770225388695344e+07 9.7683943954615071e+07 9.6538448421998173e+07 9.5359460376640797e+07 9.4181665718657166e+07 9.3085564226470485e+07 9.2125064919643879e+07 9.1434319480280831e+07 9.1181804892280832e+07 9.1624371200891629e+07 9.3124039537318170e+07 9.6230131239738256e+07 1.0180975205699199e+08 1.1135761033765678e+08 3.8167822945317692e+08 +2.6288762920973872e+00 -2.6018484605789536e+08 -2.6013766991106081e+08 -2.6006115250019825e+08 -2.5996301803222305e+08 -2.5986778044900432e+08 -2.5981344977331969e+08 -2.5981673976480982e+08 -2.5984899895655954e+08 -2.5988133206862053e+08 -2.5990800619662425e+08 -2.5993250152360371e+08 -2.5995524660585231e+08 -2.5997545898331690e+08 -2.5999279844455937e+08 -2.6000719907012308e+08 -2.6001836470834592e+08 -2.6002599323971033e+08 -2.6002991369738883e+08 -2.6002994916909337e+08 -2.6002581874625328e+08 -2.6001713854128364e+08 -2.6000326943577614e+08 -2.5998239554245779e+08 -2.5995113569339997e+08 -2.5991092717793387e+08 -2.5986379264422518e+08 -2.5980610140559682e+08 -2.5973413461389259e+08 -2.5964449356517714e+08 -2.5953306441756901e+08 -2.5939460014062995e+08 -2.5922235226927453e+08 -2.5900761219395709e+08 -2.5873911826710111e+08 -2.5840229985386026e+08 -2.5797825920524815e+08 -2.5744250629256222e+08 -2.5676332562757143e+08 -2.5589977752137586e+08 -2.5479918395295030e+08 -2.5327514482803583e+08 -2.5129246929634705e+08 -2.4871490349963155e+08 -2.4537182769821733e+08 -2.4105448979553339e+08 -2.3551535602934742e+08 -2.2847327016566661e+08 -2.1962780183910757e+08 -2.0868640950763783e+08 -1.9540628196200505e+08 -1.7965958290252194e+08 -1.6146103096052682e+08 -1.4101248405750388e+08 -1.1878526124058919e+08 -9.5423493322122425e+07 -7.1688672753488332e+07 -4.8355380507414900e+07 -2.6108764607606504e+07 -5.4791727649781900e+06 1.3217637080057817e+07 2.9821672131615411e+07 4.4347150602059118e+07 5.6876996580229118e+07 6.7591197984334573e+07 7.6659151159596533e+07 8.4258281893145278e+07 9.0576916378756106e+07 9.5750442005494401e+07 9.9910668351086602e+07 1.0318850373076767e+08 1.0566907406690626e+08 1.0748031531286816e+08 1.0871771833840580e+08 1.0949635329065201e+08 1.0992372783502568e+08 1.1008419729667617e+08 1.1008612938732879e+08 1.1000417894787328e+08 1.0986885822773786e+08 1.0975435213815050e+08 1.0963260399900199e+08 1.0950573705421217e+08 1.0937186353931469e+08 1.0923345828084315e+08 1.0908268747626732e+08 1.0894494402121215e+08 1.0877842943518692e+08 1.0860029864964716e+08 1.0840729299558450e+08 1.0819686831666684e+08 1.0796593217977613e+08 1.0771100159077133e+08 1.0742302220381474e+08 1.0712270522701302e+08 1.0677015125831585e+08 1.0637500452304778e+08 1.0593154731342761e+08 1.0543362525347707e+08 1.0487489292937540e+08 1.0424898430281118e+08 1.0354495736531803e+08 1.0278314043641527e+08 1.0192292462276831e+08 1.0097888631037460e+08 9.9953206503485098e+07 9.8853925992704317e+07 9.7694721907755747e+07 9.6501623915562332e+07 9.5309778685912713e+07 9.4200425868025064e+07 9.3228433863276765e+07 9.2529426368981481e+07 9.2273942305608898e+07 9.2721820728210509e+07 9.4239439831859976e+07 9.7382723133028179e+07 1.0302922930305448e+08 1.1269125953393304e+08 3.8180012725446457e+08 +2.6338446148716455e+00 -2.5969444545846596e+08 -2.5964738770738548e+08 -2.5957106169133270e+08 -2.5947316539285141e+08 -2.5937813741740915e+08 -2.5932388516864929e+08 -2.5932707802260077e+08 -2.5935914202624553e+08 -2.5939125541909498e+08 -2.5941769472862771e+08 -2.5944192477078262e+08 -2.5946436676109481e+08 -2.5948423292722982e+08 -2.5950117523365197e+08 -2.5951511780000055e+08 -2.5952575345394915e+08 -2.5953276650232601e+08 -2.5953596921574226e+08 -2.5953516471838313e+08 -2.5953004882076159e+08 -2.5952021036393905e+08 -2.5950497832406431e+08 -2.5948249729218009e+08 -2.5944931976795572e+08 -2.5940678294684416e+08 -2.5935684712681907e+08 -2.5929583956908134e+08 -2.5921996700128287e+08 -2.5912573091843179e+08 -2.5900889917046076e+08 -2.5886408693878424e+08 -2.5868438575509804e+08 -2.5846090168761104e+08 -2.5818215896441668e+08 -2.5783334039435700e+08 -2.5739526559215087e+08 -2.5684312234745049e+08 -2.5614483067153984e+08 -2.5525904255744195e+08 -2.5413262884348688e+08 -2.5257629681360406e+08 -2.5055598894193965e+08 -2.4793480400741261e+08 -2.4454151821293601e+08 -2.4016689640817407e+08 -2.3456315560014090e+08 -2.2744927549915215e+08 -2.1852553036350051e+08 -2.0750084116312733e+08 -1.9413477071329778e+08 -1.7830279614105275e+08 -1.6002366072607291e+08 -1.3950350856827518e+08 -1.1721763607745266e+08 -9.3813081389459670e+07 -7.0052576568143800e+07 -4.6710182170639731e+07 -2.4468967219149366e+07 -3.8562276545289601e+06 1.4815714764327945e+07 3.1390062397745132e+07 4.5883753270375736e+07 5.8381724967352934e+07 6.9065425736733690e+07 7.8105126731971711e+07 8.5678746630807161e+07 9.1974855833892047e+07 9.7128858883727252e+07 1.0127243347405641e+08 1.0453634130879262e+08 1.0700545616412999e+08 1.0880747494451393e+08 1.1003760508455785e+08 1.1081063920015879e+08 1.1123371864928274e+08 1.1139084864783238e+08 1.1139010555344340e+08 1.1130588399570233e+08 1.1116846685682471e+08 1.1105249237777156e+08 1.1092926648746410e+08 1.1080089383524823e+08 1.1066544403587465e+08 1.1052541291983402e+08 1.1037292243622383e+08 1.1023341006564300e+08 1.1006493876710178e+08 1.0988471382897693e+08 1.0968943803318068e+08 1.0947653712087622e+08 1.0924288208002354e+08 1.0898494870879683e+08 1.0869362610590738e+08 1.0838961959929451e+08 1.0803290834881403e+08 1.0763310047833575e+08 1.0718441063384613e+08 1.0668061164191125e+08 1.0611528301441322e+08 1.0548198341064017e+08 1.0476969009290724e+08 1.0399873047611438e+08 1.0312835275396280e+08 1.0217316095084247e+08 1.0113536187068619e+08 1.0002309136309415e+08 9.8850188300574437e+07 9.7642990216520876e+07 9.6437104253533453e+07 9.5314509291783780e+07 9.4331032617471710e+07 9.3623768841247618e+07 9.3365317405609667e+07 9.3818504240343496e+07 9.5354061575063199e+07 9.8534510508444309e+07 1.0424785537519734e+08 1.1402397775734399e+08 3.8191876182979375e+08 +2.6388129376459037e+00 -2.5919762271608618e+08 -2.5915068372348303e+08 -2.5907454969653398e+08 -2.5897689023034289e+08 -2.5888207361397409e+08 -2.5882790018202108e+08 -2.5883099559346801e+08 -2.5886286377253670e+08 -2.5889475685568070e+08 -2.5892096072663277e+08 -2.5894492479783675e+08 -2.5896706291237760e+08 -2.5898658200400013e+08 -2.5900312618352449e+08 -2.5901660958546543e+08 -2.5902671399587035e+08 -2.5903311011563644e+08 -2.5903559341775954e+08 -2.5903394701886997e+08 -2.5902784339619792e+08 -2.5901684406426609e+08 -2.5900024602373096e+08 -2.5897615426693335e+08 -2.5894105483065057e+08 -2.5889618459813377e+08 -2.5884344139109015e+08 -2.5877911036255813e+08 -2.5869932369821391e+08 -2.5860048293423188e+08 -2.5847823743498555e+08 -2.5832706440945244e+08 -2.5813989519872665e+08 -2.5790765036895427e+08 -2.5761863986865589e+08 -2.5725779984066507e+08 -2.5680566723357296e+08 -2.5623710775117549e+08 -2.5551967719119889e+08 -2.5461161979218546e+08 -2.5345935620902854e+08 -2.5187070056700948e+08 -2.4981273368800250e+08 -2.4714791110299361e+08 -2.4370441074449959e+08 -2.3927252223495901e+08 -2.3360422349272740e+08 -2.2641864264966512e+08 -2.1741677291962540e+08 -2.0630901270244282e+08 -1.9285731208412939e+08 -1.7694046984205261e+08 -1.5858125372708589e+08 -1.3799008261758170e+08 -1.1564620662577625e+08 -9.2199538554213628e+07 -6.8414013784791514e+07 -4.5063139353280783e+07 -2.2827880831798393e+07 -2.2324691358204549e+06 1.6414212598277654e+07 3.2958556588833347e+07 4.7420210638364278e+07 5.9886114422120146e+07 7.0539165233637691e+07 7.9550499429880589e+07 8.7098520715234503e+07 9.3372037403886825e+07 9.8506466615057543e+07 1.0263335066303213e+08 1.0588330192459109e+08 1.0834094019287467e+08 1.1013372160111122e+08 1.1135656892830712e+08 1.1212399609694396e+08 1.1254277718493627e+08 1.1269656655815798e+08 1.1269314836851592e+08 1.1260665644956908e+08 1.1246714406229405e+08 1.1234970216774377e+08 1.1222499955847175e+08 1.1209512227300389e+08 1.1195809732222727e+08 1.1181644151985474e+08 1.1166223262507692e+08 1.1152095252909167e+08 1.1135052592766190e+08 1.1116820834503633e+08 1.1097066404152966e+08 1.1075528867777224e+08 1.1051891668857451e+08 1.1025798269419686e+08 1.0996331930649155e+08 1.0965562583793530e+08 1.0929476029245868e+08 1.0889029463440901e+08 1.0843637591245659e+08 1.0792670420755543e+08 1.0735478401119815e+08 1.0671409873425817e+08 1.0599354499482577e+08 1.0521344916966684e+08 1.0433291682944420e+08 1.0336657953658570e+08 1.0231666987647641e+08 1.0119141868920380e+08 1.0000482647449775e+08 9.8783538411149293e+07 9.7563621809863135e+07 9.6427794128437102e+07 9.5432841022886470e+07 9.4717326888858914e+07 9.4455910237878129e+07 9.4914401686022714e+07 9.6467884387756661e+07 9.9685472307226598e+07 1.0546560799252328e+08 1.1535574064143695e+08 3.8203414101924777e+08 +2.6437812604201620e+00 -2.5869438796730730e+08 -2.5864756779307589e+08 -2.5857162797121534e+08 -2.5847420638151157e+08 -2.5837960086575806e+08 -2.5832550602285683e+08 -2.5832850381709421e+08 -2.5836017557839078e+08 -2.5839184776826534e+08 -2.5841781558853254e+08 -2.5844151300781304e+08 -2.5846334647021487e+08 -2.5848251763563138e+08 -2.5849866272912771e+08 -2.5851168587523085e+08 -2.5852125779938644e+08 -2.5852703556526086e+08 -2.5852879781356585e+08 -2.5852630760895631e+08 -2.5851921404451925e+08 -2.5850705125400129e+08 -2.5848908419351083e+08 -2.5846337818193439e+08 -2.5842635266406277e+08 -2.5837914399625900e+08 -2.5832358739968181e+08 -2.5825592586500081e+08 -2.5817221692175990e+08 -2.5806876199135798e+08 -2.5794109178131020e+08 -2.5778354534871078e+08 -2.5758889366144070e+08 -2.5734787161221153e+08 -2.5704857472153401e+08 -2.5667569236693683e+08 -2.5620947881153983e+08 -2.5562447778162256e+08 -2.5488788116329545e+08 -2.5395752601997441e+08 -2.5277938379896221e+08 -2.5115837503965613e+08 -2.4906272389653298e+08 -2.4635424679270089e+08 -2.4286052920035362e+08 -2.3837139335750034e+08 -2.3263858823833984e+08 -2.2538140284952146e+08 -2.1630156363647884e+08 -2.0511096124439752e+08 -1.9157394611946255e+08 -1.7557264670888254e+08 -1.5713385482787800e+08 -1.3647225251707298e+08 -1.1407101977951367e+08 -9.0582911384360537e+07 -6.6773029818555012e+07 -4.3414295675060034e+07 -2.1185546866120946e+07 -6.0793626447582257e+05 1.8013093861854125e+07 3.4527120158327803e+07 4.8956490098090410e+07 6.1390134015434437e+07 7.2012386969735235e+07 8.0995240938645691e+07 8.8517576816924706e+07 9.4768434567308336e+07 9.9883239336139649e+07 1.0399339458565709e+08 1.0722936066972847e+08 1.0967550157808830e+08 1.1145903096486153e+08 1.1267458574645020e+08 1.1343640000063822e+08 1.1385087956556024e+08 1.1400132722601381e+08 1.1399523408706291e+08 1.1390647260905874e+08 1.1376486618312970e+08 1.1364595787394179e+08 1.1351977960470973e+08 1.1338839878773479e+08 1.1324979984738751e+08 1.1310652055964968e+08 1.1295059455256467e+08 1.1280754795398171e+08 1.1263516749465643e+08 1.1245075881370150e+08 1.1225094767798239e+08 1.1203309968947382e+08 1.1179401275711888e+08 1.1153008035337992e+08 1.1123207867271265e+08 1.1092070087765361e+08 1.1055568409936579e+08 1.1014656408643301e+08 1.0968742033949070e+08 1.0917188024760950e+08 1.0859337333710487e+08 1.0794530782569273e+08 1.0721649977339138e+08 1.0642727438598736e+08 1.0553659490312365e+08 1.0455912032464170e+08 1.0349710899836275e+08 1.0235888668520698e+08 1.0115861539298351e+08 9.9923247719845846e+07 9.8689310830549434e+07 9.7540260095032379e+07 9.6533839005497605e+07 9.5810080588009417e+07 9.5545700932912394e+07 9.6009493098861888e+07 9.7580887976982325e+07 1.0083558755974124e+08 1.0668246496851416e+08 1.1668652392293610e+08 3.8214627270152307e+08 +2.6487495831944203e+00 -2.5818475202606997e+08 -2.5813805166461036e+08 -2.5806230651247662e+08 -2.5796512302300516e+08 -2.5787073015776658e+08 -2.5781671417521566e+08 -2.5781961422574529e+08 -2.5785108902879450e+08 -2.5788253973478031e+08 -2.5790827089829761e+08 -2.5793170098872277e+08 -2.5795322903021047e+08 -2.5797205142967579e+08 -2.5798779648953703e+08 -2.5800035830282468e+08 -2.5800939651525459e+08 -2.5801455452238724e+08 -2.5801559409838152e+08 -2.5801225821243384e+08 -2.5800417252328891e+08 -2.5799084373054799e+08 -2.5797150467811975e+08 -2.5794418093771845e+08 -2.5790522523539594e+08 -2.5785567319061771e+08 -2.5779729730066690e+08 -2.5772629834126419e+08 -2.5763865907404599e+08 -2.5753058065512890e+08 -2.5739747496660858e+08 -2.5723354273893416e+08 -2.5703139439170009e+08 -2.5678157897844324e+08 -2.5647197745297775e+08 -2.5608703233525768e+08 -2.5560671519611090e+08 -2.5500524790548435e+08 -2.5424945875293559e+08 -2.5329677822354105e+08 -2.5209272955123815e+08 -2.5043933937097695e+08 -2.4830598011525324e+08 -2.4555383326596430e+08 -2.4200989766732404e+08 -2.3746353603127378e+08 -2.3166627853228575e+08 -2.2433758748439127e+08 -2.1517993678105062e+08 -2.0390672402505255e+08 -1.9028471295670065e+08 -1.7419936950851986e+08 -1.5568150892333293e+08 -1.3495006457415006e+08 -1.1249212239486676e+08 -8.8963246380013376e+07 -6.5129669992457695e+07 -4.1763694645710677e+07 -1.9542006621390216e+07 1.0173320310648853e+06 1.9612321963902835e+07 3.6095718687547013e+07 5.0492559167041786e+07 6.2893752940470830e+07 7.3485061558525980e+07 8.2439323058804363e+07 8.9935887718768716e+07 9.6164020913303584e+07 1.0125915129170214e+08 1.0535254001621878e+08 1.0857449274075638e+08 1.1100911584858358e+08 1.1278337882136318e+08 1.1399163151829191e+08 1.1474782703314587e+08 1.1515800201615241e+08 1.1530510695142721e+08 1.1529633906497692e+08 1.1520530887437674e+08 1.1506160965888864e+08 1.1494123596297735e+08 1.1481358312003019e+08 1.1468069990034977e+08 1.1454052816073962e+08 1.1439562661799867e+08 1.1423798482890385e+08 1.1409317298251747e+08 1.1391884014594521e+08 1.1373234195064199e+08 1.1353026569927683e+08 1.1330994695771509e+08 1.1306814713665636e+08 1.1280121859165257e+08 1.1249988117049918e+08 1.1218482175155051e+08 1.1181565687808909e+08 1.1140188602726573e+08 1.1093752120270199e+08 1.1041611715640600e+08 1.0983102850591651e+08 1.0917558833259979e+08 1.0843853222608344e+08 1.0764018408863227e+08 1.0673936512261552e+08 1.0575076166482520e+08 1.0467665780593212e+08 1.0352547415606432e+08 1.0231153410931784e+08 1.0106209745135275e+08 9.9814150879070818e+07 9.8651886995016202e+07 9.7634006577099293e+07 9.6902010100357607e+07 9.6634669705720320e+07 9.7103758597830787e+07 9.8693052136396989e+07 1.0198483538608560e+08 1.0789840421144949e+08 1.1801630344190888e+08 3.8225516479347986e+08 +2.6537179059686786e+00 -2.5766872802860513e+08 -2.5762214650955057e+08 -2.5754659585883224e+08 -2.5744965261417621e+08 -2.5735547279881176e+08 -2.5730153642755771e+08 -2.5730433854960284e+08 -2.5733561590438110e+08 -2.5736684451933068e+08 -2.5739233842367554e+08 -2.5741550051252511e+08 -2.5743672237235567e+08 -2.5745519517765060e+08 -2.5747053926847655e+08 -2.5748263868620455e+08 -2.5749114197806504e+08 -2.5749567884230182e+08 -2.5749599415158236e+08 -2.5749181073693866e+08 -2.5748273077394971e+08 -2.5746823347536314e+08 -2.5744751950586927e+08 -2.5741857461878732e+08 -2.5737768469723678e+08 -2.5732578441562662e+08 -2.5726458342716756e+08 -2.5719024024112156e+08 -2.5709866274357200e+08 -2.5698595167610279e+08 -2.5684739993317056e+08 -2.5667706974873564e+08 -2.5646741082433745e+08 -2.5620878621592489e+08 -2.5588886217834139e+08 -2.5549183429468229e+08 -2.5499739144472063e+08 -2.5437943377635175e+08 -2.5360442631284130e+08 -2.5262939357337943e+08 -2.5139941159013209e+08 -2.4971361288599604e+08 -2.4754252307602212e+08 -2.4474669289375317e+08 -2.4115254041008547e+08 -2.3654897668351263e+08 -2.3068732323418450e+08 -2.2328722809138709e+08 -2.1405192675633317e+08 -2.0269633839668831e+08 -1.8898965282410926e+08 -1.7282068106869715e+08 -1.5422426093634346e+08 -1.3342356509000842e+08 -1.1090956128850752e+08 -8.7340589972154960e+07 -6.3483979536205053e+07 -4.0111379664054550e+07 -1.7897301274700288e+07 2.6432969501878540e+06 2.1211860442705717e+07 3.7664317886121623e+07 5.2028385488387875e+07 6.4396940512617067e+07 7.4957159732446536e+07 8.3882717706867576e+07 9.1353426316910356e+07 9.7558770141385928e+07 1.0263417683531821e+08 1.0671076183600493e+08 1.0991867344011825e+08 1.1234175863778591e+08 1.1410674105970973e+08 1.1530768232608971e+08 1.1605825341882135e+08 1.1646412086409122e+08 1.1660788213631700e+08 1.1659643975953783e+08 1.1650314174750499e+08 1.1635735103059085e+08 1.1623551300280228e+08 1.1610638669889061e+08 1.1597200223275588e+08 1.1583025891266645e+08 1.1568373637459703e+08 1.1552438016445878e+08 1.1537780435737681e+08 1.1520152065944225e+08 1.1501293457172184e+08 1.1480859496205822e+08 1.1458580738397521e+08 1.1434129677776280e+08 1.1407137441386187e+08 1.1376670386479415e+08 1.1344796559104079e+08 1.1307465583525783e+08 1.1265623774765185e+08 1.1218665588733031e+08 1.1165939242515887e+08 1.1106772712799947e+08 1.1040491799877654e+08 1.0965962024582843e+08 1.0885215633572543e+08 1.0794120572964969e+08 1.0694148199998401e+08 1.0585529496075928e+08 1.0469115999773006e+08 1.0346356176682170e+08 1.0220006700353979e+08 1.0093812160655099e+08 9.9762654718897939e+07 9.8733323835464254e+07 9.7993095672360912e+07 9.7722796856480360e+07 9.8197178387161389e+07 9.9804356746718943e+07 1.0313319499590260e+08 1.0911340372442448e+08 1.1934505514255895e+08 3.8236082524969232e+08 +2.6586862287429369e+00 -2.5714632783612990e+08 -2.5709986663858649e+08 -2.5702451068294901e+08 -2.5692780773641440e+08 -2.5683384143603256e+08 -2.5677998467750213e+08 -2.5678268871384373e+08 -2.5681376816596931e+08 -2.5684477407025385e+08 -2.5687003011522004e+08 -2.5689292353447330e+08 -2.5691383846026847e+08 -2.5693196085399482e+08 -2.5694690305229628e+08 -2.5695853902631637e+08 -2.5696650620522240e+08 -2.5697042056331772e+08 -2.5697001003582701e+08 -2.5696497727352825e+08 -2.5695490092123002e+08 -2.5693923265335760e+08 -2.5691714088961428e+08 -2.5688657149367532e+08 -2.5684374338541093e+08 -2.5678949008921039e+08 -2.5672545829581410e+08 -2.5664776419849730e+08 -2.5655224070193011e+08 -2.5643488798948026e+08 -2.5629087980794519e+08 -2.5611413973142138e+08 -2.5589695657868659e+08 -2.5562950725731087e+08 -2.5529924319995078e+08 -2.5489011297972232e+08 -2.5438152280049691e+08 -2.5374705123439771e+08 -2.5295280038192770e+08 -2.5195538942558298e+08 -2.5069944822614524e+08 -2.4898121509477282e+08 -2.4677237369454664e+08 -2.4393284822780287e+08 -2.4028848186960167e+08 -2.3562774191172105e+08 -2.2970175136503744e+08 -2.2223035635770494e+08 -2.1291756809943125e+08 -2.0147984182483050e+08 -1.8768880603850034e+08 -1.7143662427676171e+08 -1.5276215581642947e+08 -1.3189280035795793e+08 -1.0932338323621251e+08 -8.5714988521124005e+07 -6.1836003584926203e+07 -3.8457394016943164e+07 -1.6251471880270982e+07 4.2699198207454002e+06 2.2811672966476414e+07 3.9232883592445694e+07 5.3563936831337892e+07 6.5899666170056947e+07 7.6428652343193322e+07 8.5325396915526778e+07 9.2770165620455787e+07 9.8952656061931744e+07 1.0400829042909727e+08 1.0806803503326312e+08 1.1126187817570992e+08 1.1367340568368948e+08 1.1542909367300604e+08 1.1662271435542955e+08 1.1736765548447579e+08 1.1776921253889477e+08 1.1790962928431386e+08 1.1789551273018314e+08 1.1779994783172549e+08 1.1765206694077712e+08 1.1752876566247219e+08 1.1739816703712571e+08 1.1726228250779571e+08 1.1711896885434987e+08 1.1697082660983507e+08 1.1680975737068626e+08 1.1666141892187567e+08 1.1648318591364530e+08 1.1629251359293436e+08 1.1608591242340785e+08 1.1586065796953030e+08 1.1561343873046066e+08 1.1534052492391603e+08 1.1503252391969027e+08 1.1471010962706320e+08 1.1433265827618726e+08 1.1390959663678281e+08 1.1343480187656769e+08 1.1290168364278840e+08 1.1230344691059336e+08 1.1163327466424482e+08 1.1087974182128254e+08 1.1006316928018528e+08 1.0914209505959055e+08 1.0813125986622767e+08 1.0703299921678326e+08 1.0585592319768816e+08 1.0461467759903142e+08 1.0333713586333780e+08 1.0206120275215980e+08 1.0087254324406898e+08 9.9831770964191705e+07 9.9083317636198744e+07 9.8810062770624757e+07 9.9289732756921753e+07 1.0091478177537811e+08 1.0428064568883538e+08 1.1032744160588050e+08 1.2067275507293084e+08 3.8246326206200123e+08 +2.6636545515171952e+00 -2.5661756223061553e+08 -2.5657122076472899e+08 -2.5649606019852567e+08 -2.5639960127090859e+08 -2.5630584833594695e+08 -2.5625207108186737e+08 -2.5625467683795422e+08 -2.5628555793839145e+08 -2.5631634051617533e+08 -2.5634135810523552e+08 -2.5636398219185019e+08 -2.5638458944001704e+08 -2.5640236061547983e+08 -2.5641690000918227e+08 -2.5642807150604343e+08 -2.5643550139721242e+08 -2.5643879190590614e+08 -2.5643765399591589e+08 -2.5643177009566391e+08 -2.5642069527249715e+08 -2.5640385361189306e+08 -2.5638038122349712e+08 -2.5634818401347998e+08 -2.5630341381860086e+08 -2.5624680281229064e+08 -2.5617993460608763e+08 -2.5609888303031397e+08 -2.5599940590434432e+08 -2.5587740271334627e+08 -2.5572792790172729e+08 -2.5554476622373569e+08 -2.5532004545846084e+08 -2.5504375621971473e+08 -2.5470313500328070e+08 -2.5428188330994660e+08 -2.5375912469197085e+08 -2.5310811630421886e+08 -2.5229459768378115e+08 -2.5127478332126209e+08 -2.4999285795381701e+08 -2.4824216568996897e+08 -2.4599555306729725e+08 -2.4311232199871886e+08 -2.3941774666150713e+08 -2.3469985848220411e+08 -2.2870959210568199e+08 -2.2116700411881742e+08 -2.1177689547922876e+08 -2.0025727188722190e+08 -1.8638221300329530e+08 -1.7004724207655615e+08 -1.5129523853683200e+08 -1.3035781666153547e+08 -1.0773363497078840e+08 -8.4086488315382525e+07 -6.0185787178132176e+07 -3.6801780878393978e+07 -1.4604559368620839e+07 5.8971620996660050e+06 2.4411723333857544e+07 4.0801381774090655e+07 5.5099181091592632e+07 6.7401899474242985e+07 7.7899510362302184e+07 8.6767332833824754e+07 9.4186078752533600e+07 1.0034565259645858e+08 1.0538146664433689e+08 1.0942433470370975e+08 1.1260408246141854e+08 1.1500403282922836e+08 1.1675041275818431e+08 1.1793670389507762e+08 1.1867600966016665e+08 1.1907325357281369e+08 1.1921032500175762e+08 1.1919353463817295e+08 1.1909570383254258e+08 1.1894573413354728e+08 1.1882097071287578e+08 1.1868890093210936e+08 1.1855151754987554e+08 1.1840663483831699e+08 1.1825687420545985e+08 1.1809409335967751e+08 1.1794399362014350e+08 1.1776381288762006e+08 1.1757105603078838e+08 1.1736219514033204e+08 1.1713447581595115e+08 1.1688455014484692e+08 1.1660864732581079e+08 1.1629731859871885e+08 1.1597123118926172e+08 1.1558964160507359e+08 1.1516194018212430e+08 1.1468193675144005e+08 1.1414296849535047e+08 1.1353816565806049e+08 1.1286063626567093e+08 1.1209887503669120e+08 1.1127320117033048e+08 1.1034201154265453e+08 1.0932007389315297e+08 1.0820974942029646e+08 1.0701974283483078e+08 1.0576486092989156e+08 1.0447328360697024e+08 1.0318337414339840e+08 1.0198153263492821e+08 1.0092932823341969e+08 1.0017265640974227e+08 9.9896447918879166e+07 1.0038140208276334e+08 1.0202430727729058e+08 1.0542716685470545e+08 1.1154049604931740e+08 1.2199937938542935e+08 3.8256248325906813e+08 +2.6686228742914535e+00 -2.5608244357129189e+08 -2.5603622337776074e+08 -2.5596125898624128e+08 -2.5586504207569203e+08 -2.5577150521939120e+08 -2.5571780807884887e+08 -2.5572031522915184e+08 -2.5575099750446081e+08 -2.5578155616325197e+08 -2.5580633470566210e+08 -2.5582868880292758e+08 -2.5584898763929206e+08 -2.5586640680023292e+08 -2.5588054248905775e+08 -2.5589124848971704e+08 -2.5589813993479764e+08 -2.5590080527195126e+08 -2.5589893845811892e+08 -2.5589220165800357e+08 -2.5588012631644619e+08 -2.5586210887959385e+08 -2.5583725308409593e+08 -2.5580342481071505e+08 -2.5575670869693142e+08 -2.5569773536733055e+08 -2.5562802523986208e+08 -2.5554360973538858e+08 -2.5544017148830798e+08 -2.5531350914819875e+08 -2.5515855770740843e+08 -2.5496896294559169e+08 -2.5473669145007256e+08 -2.5445154740378889e+08 -2.5410055225805232e+08 -2.5366716038827807e+08 -2.5313021273090613e+08 -2.5246264519483259e+08 -2.5162983512628332e+08 -2.5058759298491380e+08 -2.4927965945059133e+08 -2.4749648454718772e+08 -2.4521208247143078e+08 -2.4228513711402717e+08 -2.3854035957462594e+08 -2.3376535332757425e+08 -2.2771087479513925e+08 -2.2009720335558122e+08 -2.1062994369498643e+08 -1.9902866627052906e+08 -1.8506991420617780e+08 -1.6865257746701720e+08 -1.4982355409353426e+08 -1.2881866027221979e+08 -1.0614036318069911e+08 -8.2455135569808096e+07 -5.8533375258307181e+07 -3.5144583308502384e+07 -1.2956604545768946e+07 7.5249853735806281e+06 2.6011975474457145e+07 4.2369778528200299e+07 5.6634086291620493e+07 6.8903610109688237e+07 7.9369704881053314e+07 8.8208497727417290e+07 9.5601138949632928e+07 1.0173773377779663e+08 1.0675368016149196e+08 1.1077963605048406e+08 1.1394526191753638e+08 1.1633361602255839e+08 1.1807067451658951e+08 1.1924962733767064e+08 1.1998329247902261e+08 1.2037622060044357e+08 1.2050994599717799e+08 1.2049048224700919e+08 1.2039038655749102e+08 1.2023832945510615e+08 1.2011210502643842e+08 1.1997856528303911e+08 1.1983968428480808e+08 1.1969323381856248e+08 1.1954185614428307e+08 1.1937736514521849e+08 1.1922550549733408e+08 1.1904337866141360e+08 1.1884853900270449e+08 1.1863742027059321e+08 1.1840723812495929e+08 1.1815460827137390e+08 1.1787571892319074e+08 1.1756106526511659e+08 1.1723130770672926e+08 1.1684558332496315e+08 1.1641324596993589e+08 1.1592803819136333e+08 1.1538322476706575e+08 1.1477186127193601e+08 1.1408698083618808e+08 1.1331699807253887e+08 1.1248223034965852e+08 1.1154093370343772e+08 1.1050790280394889e+08 1.0938552451051234e+08 1.0818259807947023e+08 1.0691409117399710e+08 1.0560848990017882e+08 1.0430461569595383e+08 1.0308960304351190e+08 1.0202597599957205e+08 1.0126109249641643e+08 1.0098193285769233e+08 1.0147216682661682e+08 1.0313291339455241e+08 1.0657273797352050e+08 1.1275254534418419e+08 1.2332490433694340e+08 3.8265849690593374e+08 +2.6735911970657118e+00 -2.5554098489486107e+08 -2.5549488788377851e+08 -2.5542011952920982e+08 -2.5532414662859944e+08 -2.5523082427988034e+08 -2.5517720819166028e+08 -2.5517961637385216e+08 -2.5521009931362739e+08 -2.5524043349401665e+08 -2.5526497240707332e+08 -2.5528705586602831e+08 -2.5530704556592304e+08 -2.5532411192610732e+08 -2.5533784302139276e+08 -2.5534808252170160e+08 -2.5535443438001701e+08 -2.5535647324355099e+08 -2.5535387602860495e+08 -2.5534628459559047e+08 -2.5533320672197005e+08 -2.5531401116597271e+08 -2.5528776922794706e+08 -2.5525230669875517e+08 -2.5520364090150997e+08 -2.5514230071812016e+08 -2.5506974325935975e+08 -2.5498195749344867e+08 -2.5487455077226585e+08 -2.5474322077625909e+08 -2.5458278289942995e+08 -2.5438674379828084e+08 -2.5414690872173801e+08 -2.5385289529201096e+08 -2.5349150981593812e+08 -2.5304595950036338e+08 -2.5249480271192345e+08 -2.5181065429760018e+08 -2.5095852979960766e+08 -2.4989383632369092e+08 -2.4855987157614154e+08 -2.4674419172206905e+08 -2.4442198336272532e+08 -2.4145131665768152e+08 -2.3765634556898955e+08 -2.3282425354634494e+08 -2.2670562892854804e+08 -2.1902098619358057e+08 -2.0947674767395696e+08 -1.9779406276987255e+08 -1.8375195021744326e+08 -1.6725267350011253e+08 -1.4834714750242561e+08 -1.2727537744846964e+08 -1.0454361450844447e+08 -8.0820976424335629e+07 -5.6878812669862159e+07 -3.3485844252535317e+07 -1.1307648092552859e+07 9.1533513594398554e+06 2.7612393449315775e+07 4.3938040081951842e+07 5.8168620580981210e+07 7.0404767884913489e+07 8.0839207111012012e+07 8.9648863979064167e+07 9.7015319562562674e+07 1.0312887375043623e+08 1.0812490577066228e+08 1.1213391438479573e+08 1.1528539227074759e+08 1.1766213131722014e+08 1.1938985525412902e+08 1.2056146117959534e+08 1.2128948057727674e+08 1.2167809036004983e+08 1.2180846908208084e+08 1.2178633242287914e+08 1.2168397291615802e+08 1.2152982985370946e+08 1.2140214557796107e+08 1.2126713709069303e+08 1.2112675974027750e+08 1.2097874285087922e+08 1.2082574951086937e+08 1.2065954984191966e+08 1.2050593170007434e+08 1.2032186041620827e+08 1.2012493972704558e+08 1.1991156507282339e+08 1.1967892219905679e+08 1.1942359046053664e+08 1.1914171711994323e+08 1.1882374138201900e+08 1.1849031670818856e+08 1.1810046103855501e+08 1.1766349168533549e+08 1.1717308397442031e+08 1.1662243034011400e+08 1.1600451175145525e+08 1.1531228650612219e+08 1.1453408920564047e+08 1.1369023525727652e+08 1.1273884016097693e+08 1.1169472541576177e+08 1.1056030351958944e+08 1.0934446819424266e+08 1.0806234783680190e+08 1.0674273449857692e+08 1.0542490741439070e+08 1.0419673470928161e+08 1.0312169470596881e+08 1.0234860648591644e+08 1.0206649822923337e+08 1.0256200753635742e+08 1.0424058035708107e+08 1.0771733861612132e+08 1.1396356787549761e+08 1.2464930628917237e+08 3.8275131110357445e+08 +2.6785595198399701e+00 -2.5499320013446039e+08 -2.5494722248656595e+08 -2.5487265357783958e+08 -2.5477692509739333e+08 -2.5468381891753623e+08 -2.5463028410861441e+08 -2.5463259293482050e+08 -2.5466287599651816e+08 -2.5469298516722217e+08 -2.5471728387771088e+08 -2.5473909605770338e+08 -2.5475877590779319e+08 -2.5477548869051114e+08 -2.5478881431491616e+08 -2.5479858632573256e+08 -2.5480439747337225e+08 -2.5480580858229914e+08 -2.5480247949352154e+08 -2.5479403172268701e+08 -2.5477994933777472e+08 -2.5475957335953858e+08 -2.5473194259136420e+08 -2.5469484267024675e+08 -2.5464422349269930e+08 -2.5458051200721458e+08 -2.5450510190699288e+08 -2.5441393966461086e+08 -2.5430255725484422e+08 -2.5416655125985986e+08 -2.5400061733315694e+08 -2.5379812286398062e+08 -2.5355071162314326e+08 -2.5324781454786855e+08 -2.5287602270991856e+08 -2.5241829611293700e+08 -2.5185291061132878e+08 -2.5115216018556809e+08 -2.5028069897541150e+08 -2.4919353142571136e+08 -2.4783351336973789e+08 -2.4598530744956574e+08 -2.4362527737440124e+08 -2.4061088388768497e+08 -2.3676572977503747e+08 -2.3187658640018481e+08 -2.2569388415601566e+08 -2.1793838490029579e+08 -2.0831734246967599e+08 -1.9655349928517488e+08 -1.8242836168762973e+08 -1.6584757327860394e+08 -1.4686606379798502e+08 -1.2572801443318512e+08 -1.0294343554862873e+08 -7.9184056942772686e+07 -5.5222144157965720e+07 -3.1825606540076986e+07 -9.6577305637761112e+06 1.0782221905076152e+07 2.9212941451404504e+07 4.5506132792873211e+07 5.9702752236832753e+07 7.1905342732286170e+07 8.2307988384321764e+07 9.1088404088692173e+07 9.8428594056258753e+07 1.0451904677067602e+08 1.0949511837177248e+08 1.1348714512588888e+08 1.1662444935440522e+08 1.1898955487226619e+08 1.2070793138151865e+08 1.2187218202131873e+08 1.2259455069526854e+08 1.2297883969270334e+08 1.2310587117071457e+08 1.2308106213466685e+08 1.2297643992113456e+08 1.2282021238005175e+08 1.2269106944440736e+08 1.2255459345823988e+08 1.2241272104623185e+08 1.2226313909263991e+08 1.2210853149144165e+08 1.2194062466635276e+08 1.2178524947611909e+08 1.2159923543457058e+08 1.2140023552308643e+08 1.2118460690649572e+08 1.2094950544150254e+08 1.2069147416370772e+08 1.2040661942045672e+08 1.2008532451260130e+08 1.1974823582235019e+08 1.1935425244762838e+08 1.1891265511262569e+08 1.1841705197714187e+08 1.1786056319478244e+08 1.1723609519338863e+08 1.1653653150269987e+08 1.1575012680919248e+08 1.1489719442793983e+08 1.1393570962992032e+08 1.1288052063986748e+08 1.1173406557265134e+08 1.1050533253364027e+08 1.0920961051471823e+08 1.0787599724749547e+08 1.0654422939202438e+08 1.0530290795954606e+08 1.0421646488263701e+08 1.0343517905418338e+08 1.0315012476156738e+08 1.0365090484655273e+08 1.0534728848269692e+08 1.0886094844380310e+08 1.1517354212429567e+08 1.2597256170897236e+08 3.8284093398846489e+08 +2.6835278426142284e+00 -2.5443910027813056e+08 -2.5439324664795387e+08 -2.5431887532054636e+08 -2.5422339025836691e+08 -2.5413050249196130e+08 -2.5407704873574018e+08 -2.5407925775927353e+08 -2.5410934037856230e+08 -2.5413922401917177e+08 -2.5416328196226647e+08 -2.5418482223206586e+08 -2.5420419153029990e+08 -2.5422054996903986e+08 -2.5423346925669283e+08 -2.5424277280368385e+08 -2.5424804213441673e+08 -2.5424882422818765e+08 -2.5424476181705084e+08 -2.5423545603275445e+08 -2.5422036719098496e+08 -2.5419880852784723e+08 -2.5416978628972191e+08 -2.5413104589672714e+08 -2.5407846971005982e+08 -2.5401238255704561e+08 -2.5393411460411635e+08 -2.5383956978776589e+08 -2.5372420461407596e+08 -2.5358351444022605e+08 -2.5341207504294956e+08 -2.5320311440433443e+08 -2.5294811468319592e+08 -2.5263632001470801e+08 -2.5225410615311685e+08 -2.5178418587323162e+08 -2.5120455258528885e+08 -2.5048717961177480e+08 -2.4959636010570541e+08 -2.4848669655875811e+08 -2.4710060405078146e+08 -2.4521985214254069e+08 -2.4282198631531003e+08 -2.3976386223465028e+08 -2.3586853749107608e+08 -2.3092237931250510e+08 -2.2467567027992356e+08 -2.1684943188398892e+08 -2.0715176325985360e+08 -1.9530701382027549e+08 -1.8109918934559506e+08 -1.6443731995428699e+08 -1.4538034803118902e+08 -1.2417661745212413e+08 -1.0133987284680574e+08 -7.7544423111137673e+07 -5.3563414367375448e+07 -3.0163912883909628e+07 -8.0068923875553776e+06 1.2411558989867467e+07 3.0813583806079034e+07 4.7074023149336100e+07 6.1236449664105058e+07 7.3405304708659157e+07 8.3776020153759658e+07 9.2527090673715368e+07 9.9840936010548308e+07 1.0590822720698102e+08 1.1086429297465493e+08 1.1483930380112685e+08 1.1796240910902727e+08 1.2031586295261572e+08 1.2202487941433685e+08 1.2318176656788152e+08 1.2389847967675321e+08 1.2427844554300375e+08 1.2440212928065310e+08 1.2437464845421004e+08 1.2426776468734711e+08 1.2410945418732277e+08 1.2397885380509846e+08 1.2384091159126174e+08 1.2369754543446048e+08 1.2354639980368081e+08 1.2339017937434028e+08 1.2322056693714137e+08 1.2306343617540741e+08 1.2287548110060145e+08 1.2267440381194304e+08 1.2245652323243737e+08 1.2221896535663581e+08 1.2195823693290152e+08 1.2167040342950316e+08 1.2134579232045600e+08 1.2100504277765377e+08 1.2060693535397317e+08 1.2016071413524726e+08 1.1965992017503625e+08 1.1909760140998743e+08 1.1846658979247706e+08 1.1775969415066999e+08 1.1696508935294588e+08 1.1610308649260576e+08 1.1513152091946210e+08 1.1406526748168391e+08 1.1290678988825387e+08 1.1166517054469976e+08 1.1035585889548033e+08 1.0900825808246787e+08 1.0766256181114118e+08 1.0640810320961459e+08 1.0531026714672379e+08 1.0452079096339521e+08 1.0423279326918171e+08 1.0473883947804178e+08 1.0645301817686059e+08 1.1000354720897476e+08 1.1638244666791454e+08 1.2729464716818199e+08 3.8292737373213869e+08 +2.6884961653884867e+00 -2.5387869980463487e+08 -2.5383296593364960e+08 -2.5375879457463193e+08 -2.5366355652517873e+08 -2.5357088707611990e+08 -2.5351751491602451e+08 -2.5351962388128734e+08 -2.5354950548102817e+08 -2.5357916306503347e+08 -2.5360297968230188e+08 -2.5362424741993910e+08 -2.5364330547684062e+08 -2.5365930881406444e+08 -2.5367182091129625e+08 -2.5368065503475994e+08 -2.5368538145973727e+08 -2.5368553329840693e+08 -2.5368073614102536e+08 -2.5367057069593197e+08 -2.5365447348600826e+08 -2.5363172991552046e+08 -2.5360131361517888e+08 -2.5356092972743073e+08 -2.5350639297078308e+08 -2.5343792586724150e+08 -2.5335679494999605e+08 -2.5325886158006448e+08 -2.5313950670596001e+08 -2.5299412433741730e+08 -2.5281717024165568e+08 -2.5260173285945240e+08 -2.5233913260958269e+08 -2.5201842671529856e+08 -2.5162577553769156e+08 -2.5114364460753581e+08 -2.5054974496939600e+08 -2.4981572950900406e+08 -2.4890553082086667e+08 -2.4777335016937459e+08 -2.4636116301589021e+08 -2.4444784639076170e+08 -2.4201213216897950e+08 -2.3891027530106723e+08 -2.3496479418222758e+08 -2.2996165986679101e+08 -2.2365101725390542e+08 -2.1575415969139436e+08 -2.0598004534437764e+08 -1.9405464448042482e+08 -1.7976447399649757e+08 -1.6302195672557038e+08 -1.4389004526716024e+08 -1.2262123271225794e+08 -9.9732972897496969e+07 -7.5902120836551711e+07 -5.1902667841316111e+07 -2.8500805879244842e+07 -6.3551738645263696e+06 1.4041324725209191e+07 3.2414284971583590e+07 4.8641677770905502e+07 6.2769681395979777e+07 7.4904623995351180e+07 8.5243273993180484e+07 9.3964896469195351e+07 1.0125231911984296e+08 1.0729638954002880e+08 1.1223240469939531e+08 1.1619036604673107e+08 1.1929924758191931e+08 1.2164103192944905e+08 1.2334067597357509e+08 1.2449019162857933e+08 1.2520124446978280e+08 1.2557688495927145e+08 1.2569722053281662e+08 1.2566706855639529e+08 1.2555792443314140e+08 1.2539753253170839e+08 1.2526547594221851e+08 1.2512606879790588e+08 1.2498121023971921e+08 1.2482850234618539e+08 1.2467067055004692e+08 1.2449935407470877e+08 1.2434046924955556e+08 1.2415057490014447e+08 1.2394742211607158e+08 1.2372729161291163e+08 1.2348727954999827e+08 1.2322385642122470e+08 1.2293304685270953e+08 1.2260512256960469e+08 1.2226071540320912e+08 1.2185848765907648e+08 1.2140764673649041e+08 1.2090166664284843e+08 1.2033352316324762e+08 1.1969597384179719e+08 1.1898175287236939e+08 1.1817895540403059e+08 1.1730789017831163e+08 1.1632625293455666e+08 1.1524894504135746e+08 1.1407845577846213e+08 1.1282396176669377e+08 1.1150107275818253e+08 1.1013949702946055e+08 1.0877988494308189e+08 1.0751230096288580e+08 1.0640308220256618e+08 1.0560542306239496e+08 1.0531448465266362e+08 1.0582579223871087e+08 1.0755774993349709e+08 1.1114511475505494e+08 1.1759026018014188e+08 1.2861553934421551e+08 3.8301063854075366e+08 +2.6934644881627450e+00 -2.5331201127893582e+08 -2.5326639885168830e+08 -2.5319242807791722e+08 -2.5309743610218370e+08 -2.5300498527471101e+08 -2.5295169562837818e+08 -2.5295370451484418e+08 -2.5298338451502830e+08 -2.5301281550058314e+08 -2.5303639023422715e+08 -2.5305738482783145e+08 -2.5307613096708193e+08 -2.5309177845509425e+08 -2.5310388251890832e+08 -2.5311224627478167e+08 -2.5311642872259218e+08 -2.5311594908693451e+08 -2.5311041578339759e+08 -2.5309938905928358e+08 -2.5308228160442370e+08 -2.5305835094438356e+08 -2.5302653803689969e+08 -2.5298450768822110e+08 -2.5292800686875090e+08 -2.5285715561478189e+08 -2.5277315672065464e+08 -2.5267182893533462e+08 -2.5254847756346756e+08 -2.5239839514859763e+08 -2.5221591731975311e+08 -2.5199399284739774e+08 -2.5172378028787220e+08 -2.5139414984960932e+08 -2.5099104643355748e+08 -2.5049668832034644e+08 -2.4988850427753663e+08 -2.4913782698759690e+08 -2.4820822892986688e+08 -2.4705351088107544e+08 -2.4561520983832967e+08 -2.4366931095838284e+08 -2.4119573709194103e+08 -2.3805014685882413e+08 -2.3405452547886565e+08 -2.2899445580535087e+08 -2.2261995518058527e+08 -2.1465260100590795e+08 -2.0480222414341843e+08 -1.9279642947093552e+08 -1.7842425651993057e+08 -1.6160152683583882e+08 -1.4239520058407760e+08 -1.2106190639977533e+08 -9.8122782142850980e+07 -7.4257195945628494e+07 -5.0239949020205341e+07 -2.6836328002758343e+07 -4.7026151671578577e+06 1.5671481355215708e+07 3.4015009539432757e+07 5.0209063408653133e+07 6.4302416094032899e+07 7.6403270898607463e+07 8.6709721597939372e+07 9.5401794328463390e+07 1.0266271719369338e+08 1.0868350836315905e+08 1.1359942877674410e+08 1.1754030760748692e+08 1.2063494092817399e+08 1.2296503828006764e+08 1.2465529778527197e+08 1.2579743411749026e+08 1.2650282212669250e+08 1.2687413509386428e+08 1.2699112215162259e+08 1.2695829971966553e+08 1.2684689647978316e+08 1.2668442477247043e+08 1.2655091324086849e+08 1.2641004248897503e+08 1.2626369289897549e+08 1.2610942418457668e+08 1.2594998251156072e+08 1.2577696360184237e+08 1.2561632625241724e+08 1.2542449442115191e+08 1.2521926805986160e+08 1.2499688971180011e+08 1.2475442572865593e+08 1.2448831038309629e+08 1.2419452749685189e+08 1.2386329312488271e+08 1.2351523162808625e+08 1.2310888736468248e+08 1.2265343099910463e+08 1.2214226955461353e+08 1.2156830673093322e+08 1.2092422573256835e+08 1.2020268618772601e+08 1.1939170362619931e+08 1.1851158430837400e+08 1.1751988467567350e+08 1.1643153251353164e+08 1.1524904264913155e+08 1.1398168583170614e+08 1.1264523197351429e+08 1.1126969420477997e+08 1.0989617914892331e+08 1.0861548181104885e+08 1.0749489084196804e+08 1.0668905628686348e+08 1.0639517989939065e+08 1.0691174402333578e+08 1.0866146433502616e+08 1.1228563101705968e+08 1.1879696143124706e+08 1.2993521502009937e+08 3.8309073665465766e+08 +2.6984328109370033e+00 -2.5273904487475181e+08 -2.5269355773028854e+08 -2.5261978865871701e+08 -2.5252504284173238e+08 -2.5243281172476345e+08 -2.5237960419497475e+08 -2.5238151303203535e+08 -2.5241099087042198e+08 -2.5244019469928473e+08 -2.5246352699026302e+08 -2.5248424783744794e+08 -2.5250268139595941e+08 -2.5251797229599890e+08 -2.5252966749565259e+08 -2.5253755995454025e+08 -2.5254119737165934e+08 -2.5254008506303552e+08 -2.5253381423794582e+08 -2.5252192464510453e+08 -2.5250380510260540e+08 -2.5247868521104586e+08 -2.5244547320044571e+08 -2.5240179348094743e+08 -2.5234332517355245e+08 -2.5227008565190187e+08 -2.5218321386820588e+08 -2.5207848592375785e+08 -2.5195113139610654e+08 -2.5179634124737558e+08 -2.5160833084411877e+08 -2.5137990916227463e+08 -2.5110207278020221e+08 -2.5076350479463735e+08 -2.5034993458787110e+08 -2.4984333319255000e+08 -2.4922084720016658e+08 -2.4845348933467856e+08 -2.4750447241762069e+08 -2.4632719749368039e+08 -2.4486276426641473e+08 -2.4288426678414667e+08 -2.4037282341228345e+08 -2.3718350084835410e+08 -2.3313775717494929e+08 -2.2802079502687541e+08 -2.2158251431028068e+08 -2.1354478864575753e+08 -2.0361833519591415e+08 -1.9153240709405598e+08 -1.7707857786717489e+08 -1.6017607357153228e+08 -1.4089585907039711e+08 -1.1949868467845637e+08 -9.6509346970811844e+07 -7.2609694183156535e+07 -4.8575302240842581e+07 -2.5170521611718975e+07 -3.0492563390108421e+06 1.7301991257143278e+07 3.5615722234997898e+07 5.1776146945689864e+07 6.5834622548679046e+07 7.7901215850022867e+07 8.8175334784745514e+07 9.6837757222707450e+07 1.0407210415699285e+08 1.1006955838243581e+08 1.1496534054805338e+08 1.1888910433725782e+08 1.2196946541021603e+08 1.2428785858814022e+08 1.2596872168157502e+08 1.2710347105416094e+08 1.2780318980393766e+08 1.2817017320310245e+08 1.2828381146573803e+08 1.2824831932610272e+08 1.2813465825197951e+08 1.2797010837184948e+08 1.2783514318912008e+08 1.2769281017864168e+08 1.2754497095242034e+08 1.2738914288645461e+08 1.2722809285443416e+08 1.2705337314399731e+08 1.2689098484010307e+08 1.2669721735372396e+08 1.2648991936962980e+08 1.2626529529489368e+08 1.2602038170129733e+08 1.2575157667435232e+08 1.2545482326972282e+08 1.2512028195205399e+08 1.2476856948224875e+08 1.2435811257275227e+08 1.2389804510596886e+08 1.2338170718393098e+08 1.2280193048853220e+08 1.2215132395453827e+08 1.2142247271473053e+08 1.2060331278070934e+08 1.1971414780288605e+08 1.1871239523893727e+08 1.1761300918770269e+08 1.1641852999998276e+08 1.1513832246472749e+08 1.1378831650417018e+08 1.1239882981540994e+08 1.1101142487902524e+08 1.0971762643438968e+08 1.0858567394439687e+08 1.0777167165927286e+08 1.0747486008320515e+08 1.0799667581373204e+08 1.0976414205213585e+08 1.1342507602106348e+08 1.2000252928841603e+08 1.3125365108486918e+08 3.8316767634795690e+08 +2.7034011337112616e+00 -2.5215982091149718e+08 -2.5211445626024359e+08 -2.5204088531868124e+08 -2.5194638993561959e+08 -2.5185437930407119e+08 -2.5180125430631456e+08 -2.5180306295068443e+08 -2.5183233810397124e+08 -2.5186131421123746e+08 -2.5188440349727243e+08 -2.5190485000541168e+08 -2.5192297033283344e+08 -2.5193790391541979e+08 -2.5194918943228936e+08 -2.5195660967982867e+08 -2.5195970103011179e+08 -2.5195795487071067e+08 -2.5195094517301390e+08 -2.5193819115070480e+08 -2.5191905771193555e+08 -2.5189274648757112e+08 -2.5185813292468947e+08 -2.5181280098167965e+08 -2.5175236182992613e+08 -2.5167673000603610e+08 -2.5158698051958889e+08 -2.5147884679065764e+08 -2.5134748258830357e+08 -2.5118797718198279e+08 -2.5099442555639949e+08 -2.5075949677416316e+08 -2.5047402532416835e+08 -2.5012650710301557e+08 -2.4970245592327863e+08 -2.4918359558143678e+08 -2.4854679060390756e+08 -2.4776273401332507e+08 -2.4679427944454330e+08 -2.4559442898190963e+08 -2.4410384622265404e+08 -2.4209273497872409e+08 -2.3954341362820864e+08 -2.3631036137644911e+08 -2.3221451522595224e+08 -2.2704070558528581e+08 -2.2053872503876913e+08 -2.1243075556221023e+08 -2.0242841415669718e+08 -1.9026261574784711e+08 -1.7572747906046554e+08 -1.5874564025967187e+08 -1.3939206582351416e+08 -1.1793161368801588e+08 -9.4892713714086294e+07 -7.0959661211080611e+07 -4.6908771734949075e+07 -2.3503428943016913e+07 -1.3951372940520281e+06 1.8932816942132305e+07 3.7216387917887390e+07 5.3342895397347897e+07 6.7366269679651037e+07 7.9398429406570211e+07 8.9640085492426097e+07 9.8272758242117450e+07 1.0548045405014192e+08 1.1145451441715527e+08 1.1633011546545741e+08 1.2023673219909291e+08 1.2330279739855525e+08 1.2560946954447427e+08 1.2728092460024618e+08 1.2840827956251383e+08 1.2910232476316924e+08 1.2946497664753875e+08 1.2957526590728085e+08 1.2953710486150210e+08 1.2942118727810864e+08 1.2925456089592730e+08 1.2911814337866329e+08 1.2897434948377612e+08 1.2882502204322232e+08 1.2866763612220517e+08 1.2850497927716129e+08 1.2832856042907585e+08 1.2816442277155025e+08 1.2796872149054520e+08 1.2775935387420394e+08 1.2753248623001705e+08 1.2728512537837078e+08 1.2701363325245987e+08 1.2671391218063320e+08 1.2637606711807859e+08 1.2602070709646232e+08 1.2560614148591693e+08 1.2514146734012754e+08 1.2461995790394074e+08 1.2403437291070876e+08 1.2337724709638679e+08 1.2264109116957681e+08 1.2181376172633392e+08 1.2091555967852315e+08 1.1990376381653635e+08 1.1879335444871902e+08 1.1758689742495260e+08 1.1629385148396949e+08 1.1493030640448356e+08 1.1352688415928584e+08 1.1212560267351496e+08 1.1081871560176857e+08 1.0967541247699629e+08 1.0885325028932875e+08 1.0855350636482282e+08 1.0908056867902260e+08 1.1086576384427953e+08 1.1456342988516073e+08 1.2120694271581997e+08 1.3257082453344037e+08 3.8324146592808640e+08 +2.7083694564855199e+00 -2.5157434682217214e+08 -2.5152910612412825e+08 -2.5145573924677667e+08 -2.5136149127720374e+08 -2.5126970139452019e+08 -2.5121665984592950e+08 -2.5121836795284465e+08 -2.5124743993379402e+08 -2.5127618775824726e+08 -2.5129903347675151e+08 -2.5131920506227356e+08 -2.5133701152050453e+08 -2.5135158706539559e+08 -2.5136246209269875e+08 -2.5136940922941551e+08 -2.5137195349438372e+08 -2.5136957232721093e+08 -2.5136182242983818e+08 -2.5134820244664758e+08 -2.5132805333750689e+08 -2.5130054871925485e+08 -2.5126453120333949e+08 -2.5121754424055842e+08 -2.5115513095581377e+08 -2.5107710287854213e+08 -2.5098447097581816e+08 -2.5087292595464155e+08 -2.5073754569824943e+08 -2.5057331767532665e+08 -2.5037421637321523e+08 -2.5013277082663140e+08 -2.4983965333171618e+08 -2.4948317250191954e+08 -2.4904862653677797e+08 -2.4851749201850063e+08 -2.4786635152918410e+08 -2.4706557866052839e+08 -2.4607766834532171e+08 -2.4485522449383223e+08 -2.4333847580232361e+08 -2.4129473682397845e+08 -2.3870753040706483e+08 -2.3543075271575835e+08 -2.3128482574827513e+08 -2.2605421568803760e+08 -2.1948861790560979e+08 -2.1131053483757642e+08 -2.0123249679573083e+08 -1.8898709392397663e+08 -1.7437100118992606e+08 -1.5731027026647997e+08 -1.3788386594774872e+08 -1.1636073954207587e+08 -9.3272928647724643e+07 -6.9307142606699035e+07 -4.5240401628357358e+07 -2.1835092112403698e+07 2.5970218405231458e+05 2.0563921055559073e+07 3.8816971582302436e+07 5.4909275911744401e+07 6.8897326535835490e+07 8.0894882250996605e+07 9.1103945781674221e+07 9.9706770595196486e+07 1.0688774102935371e+08 1.1283835139968856e+08 1.1769372909250475e+08 1.2158316726550606e+08 1.2463491337150386e+08 1.2692984794652884e+08 1.2859188358511145e+08 1.2971183687266767e+08 1.3040020437061548e+08 1.3075852289236486e+08 1.3086546301296480e+08 1.3082463391560450e+08 1.3070646119043091e+08 1.3053776001409091e+08 1.3039989150456825e+08 1.3025463812516460e+08 1.3010382391781801e+08 1.2994488166527811e+08 1.2978061958115265e+08 1.2960250328797776e+08 1.2943661790820418e+08 1.2923898472650997e+08 1.2902754950462985e+08 1.2879844048723100e+08 1.2854863477254938e+08 1.2827445817667459e+08 1.2797177234041981e+08 1.2763062679100192e+08 1.2727162270262824e+08 1.2685295240733339e+08 1.2638367608479674e+08 1.2585700018791351e+08 1.2526561257158914e+08 1.2460197384552878e+08 1.2385852036668274e+08 1.2302302941949919e+08 1.2211579904891211e+08 1.2109396969662954e+08 1.1997254777627394e+08 1.1875412461193140e+08 1.1744825280057648e+08 1.1607118182118025e+08 1.1465383762529154e+08 1.1323869316252218e+08 1.1191873017107138e+08 1.1076408749483599e+08 1.0993377337399836e+08 1.0963109999225903e+08 1.1016340377580874e+08 1.1196631056003161e+08 1.1570067281924655e+08 1.2241018077477778e+08 1.3388671246717179e+08 3.8331211373538202e+08 +2.7133377792597781e+00 -2.5098264031369349e+08 -2.5093752456013077e+08 -2.5086435721340248e+08 -2.5077035965132582e+08 -2.5067879201461411e+08 -2.5062583454155025e+08 -2.5062744191010293e+08 -2.5065631023792768e+08 -2.5068482923139599e+08 -2.5070743082429975e+08 -2.5072732691192678e+08 -2.5074481887374297e+08 -2.5075903567002350e+08 -2.5076949941305080e+08 -2.5077597255467594e+08 -2.5077796873403057e+08 -2.5077495142268759e+08 -2.5076646002317789e+08 -2.5075197257607627e+08 -2.5073080605674568e+08 -2.5070210602385598e+08 -2.5066468220192772e+08 -2.5061603748042697e+08 -2.5055164684220526e+08 -2.5047121864354450e+08 -2.5037569971064508e+08 -2.5026073800777116e+08 -2.5012133545765197e+08 -2.4995237762322819e+08 -2.4974771838366747e+08 -2.4949974663755837e+08 -2.4919897238870257e+08 -2.4883351689207754e+08 -2.4838846269935289e+08 -2.4784503920904946e+08 -2.4717954719072491e+08 -2.4636204108700517e+08 -2.4535465762701118e+08 -2.4410960334975287e+08 -2.4256667327131900e+08 -2.4049029377171928e+08 -2.3786519658253768e+08 -2.3454469930239481e+08 -2.3034871501637566e+08 -2.2506135369409543e+08 -2.1843222359272829e+08 -2.1018415968355131e+08 -2.0003061899501443e+08 -1.8770588020560676e+08 -1.7300918541191050e+08 -1.5587000699489591e+08 -1.3637130455214968e+08 -1.1478610832657419e+08 -9.1650037988474116e+07 -6.7652183861778006e+07 -4.3570235939825475e+07 -2.0165553113523997e+07 1.9152224426160513e+06 2.2195266377697229e+07 4.0417438357633993e+07 5.6475255769941173e+07 7.0427762296153754e+07 8.2390545192149669e+07 9.2566887835574985e+07 1.0113976760956150e+08 1.0829393936684577e+08 1.1422104437582372e+08 1.1905615710393690e+08 1.2292838571860564e+08 1.2596578991561055e+08 1.2824897069883911e+08 1.2990157578634819e+08 1.3101412031968449e+08 1.3169680609768735e+08 1.3205078950743137e+08 1.3215438042386472e+08 1.3211088418241543e+08 1.3199045772524309e+08 1.3181968349968152e+08 1.3168036536548807e+08 1.3153365392691687e+08 1.3138135442618853e+08 1.3122085739260161e+08 1.3105499167111741e+08 1.3087517965474039e+08 1.3070754821451287e+08 1.3050798505962193e+08 1.3029448429452571e+08 1.3006313613906212e+08 1.2981088799877742e+08 1.2953402960835910e+08 1.2922838196179192e+08 1.2888393924079648e+08 1.2852129463383907e+08 1.2809852374117622e+08 1.2762464982390787e+08 1.2709281260917325e+08 1.2649562814513828e+08 1.2582548298853853e+08 1.2507473921903001e+08 1.2423109491440573e+08 1.2331484512502009e+08 1.2228299226389773e+08 1.2115056874592051e+08 1.1992019134374890e+08 1.1860150641928928e+08 1.1721092299326535e+08 1.1577967069357981e+08 1.1435067706625293e+08 1.1301765108915190e+08 1.1185168014113685e+08 1.1101322219752614e+08 1.1070762230049528e+08 1.1124516234852195e+08 1.1306576313685268e+08 1.1683678512514122e+08 1.2361222262400138e+08 1.3520129209392917e+08 3.8337962814265281e+08 +2.7183061020340364e+00 -2.5038471402465719e+08 -2.5033972145542336e+08 -2.5026675906443530e+08 -2.5017301148401374e+08 -2.5008166606808200e+08 -2.5002879228612018e+08 -2.5003029887564990e+08 -2.5005896306062856e+08 -2.5008725268906945e+08 -2.5010960960854036e+08 -2.5012922963099179e+08 -2.5014640647933108e+08 -2.5016026382464388e+08 -2.5017031550173783e+08 -2.5017631377877071e+08 -2.5017776088964036e+08 -2.5017410631833914e+08 -2.5016487213843727e+08 -2.5014951575349894e+08 -2.5012733011870304e+08 -2.5009743269110331e+08 -2.5005860025823578e+08 -2.5000829509556982e+08 -2.4994192395218977e+08 -2.4985909184633473e+08 -2.4976068136959654e+08 -2.4964229771444622e+08 -2.4949886677010778e+08 -2.4932517209395161e+08 -2.4911494684984392e+08 -2.4886043969644424e+08 -2.4855199825259191e+08 -2.4817755634644747e+08 -2.4772198085430557e+08 -2.4716625403058526e+08 -2.4648639497487962e+08 -2.4565213927533355e+08 -2.4462526596899650e+08 -2.4335758504088077e+08 -2.4178845906628850e+08 -2.3967942744169876e+08 -2.3701643515504122e+08 -2.3365222573475376e+08 -2.2940620946262121e+08 -2.2406214811249626e+08 -2.1736957292226249e+08 -2.0905166343898597e+08 -1.9882281674741128e+08 -1.8641901326589587e+08 -1.7164207294707486e+08 -1.5442489388326839e+08 -1.3485442674949270e+08 -1.1320776609820548e+08 -9.0024087892843559e+07 -6.5994830380966105e+07 -4.1898318579806685e+07 -1.8494853817079686e+07 3.5713839606123483e+06 2.3826815824218974e+07 4.2017753508764453e+07 5.8040802386511937e+07 7.1957546269439653e+07 8.3885389165048614e+07 9.4028883960037515e+07 1.0257172273208870e+08 1.0969902345097634e+08 1.1560256850522989e+08 1.2041737528612955e+08 1.2427236385028343e+08 1.2729540372605655e+08 1.2956681481340429e+08 1.3120997846035215e+08 1.3231510734484982e+08 1.3299210752109443e+08 1.3334175416757961e+08 1.3344199588572131e+08 1.3339583346041822e+08 1.3327315472285303e+08 1.3310030923011974e+08 1.3295954286420470e+08 1.3281137481694302e+08 1.3265759152192537e+08 1.3249554128461353e+08 1.3232807355535108e+08 1.3214656756677490e+08 1.3197719175815210e+08 1.3177570059086545e+08 1.3156013638058779e+08 1.3132655136068200e+08 1.3107186327422918e+08 1.3079232581105666e+08 1.3048371935935108e+08 1.3013598283881201e+08 1.2976970132441635e+08 1.2934283399268977e+08 1.2886436714185373e+08 1.2832737384131899e+08 1.2772439840485243e+08 1.2704775341139850e+08 1.2628972673822078e+08 1.2543793736344925e+08 1.2451267721489920e+08 1.2347081099952801e+08 1.2232739702840903e+08 1.2108507749745969e+08 1.1975359243847452e+08 1.1834951025216100e+08 1.1690436393550929e+08 1.1546153519495395e+08 1.1411545939176314e+08 1.1293817164730440e+08 1.1209157813222198e+08 1.1178305471192822e+08 1.1232582572898528e+08 1.1416410260132310e+08 1.1797174719706674e+08 1.2481304751994394e+08 1.3651454072806203e+08 3.8344401755475956e+08 +2.7232744248082947e+00 -2.4978058173259622e+08 -2.4973571500134507e+08 -2.4966295518890429e+08 -2.4956945959537968e+08 -2.4947833710496536e+08 -2.4942554739689121e+08 -2.4942695306003734e+08 -2.4945541262013662e+08 -2.4948347235891804e+08 -2.4950558407037106e+08 -2.4952492746679452e+08 -2.4954178859364137e+08 -2.4955528579517308e+08 -2.4956492463708586e+08 -2.4957044719505665e+08 -2.4957134427248073e+08 -2.4956705134655041e+08 -2.4955707313189724e+08 -2.4954084636459634e+08 -2.4951763994320700e+08 -2.4948654318112040e+08 -2.4944629988048446e+08 -2.4939433165141416e+08 -2.4932597691894558e+08 -2.4924073720406136e+08 -2.4913943076927328e+08 -2.4901762000914943e+08 -2.4887015470986989e+08 -2.4869171632588321e+08 -2.4847591720452529e+08 -2.4821486566408595e+08 -2.4789874685255325e+08 -2.4751530710909459e+08 -2.4704919761592197e+08 -2.4648115353162935e+08 -2.4578691243956915e+08 -2.4493589137864217e+08 -2.4388951222014925e+08 -2.4259918922836465e+08 -2.4100385379167593e+08 -2.3886215962048787e+08 -2.3616126928914258e+08 -2.3275335677179086e+08 -2.2845733567449376e+08 -2.2305662760058513e+08 -2.1630069685477111e+08 -2.0791307956860271e+08 -1.9760912615448257e+08 -1.8512653186514777e+08 -1.7026970507820815e+08 -1.5297497440269938e+08 -1.3333327765324584e+08 -1.1162575888246888e+08 -8.8395124455446899e+07 -6.4335127480556399e+07 -4.0224693349695645e+07 -1.6823035970054183e+07 5.2281473493432915e+06 2.5458532446763843e+07 4.3617882436528578e+07 5.9605883309599504e+07 7.3486647894987181e+07 8.5379385231408283e+07 9.5489906583527699e+07 1.0400260952896623e+08 1.1110296778658082e+08 1.1698289906114069e+08 1.2177735953727958e+08 1.2561507806257114e+08 1.2862373160651979e+08 1.3088335740964013e+08 1.3251706897041972e+08 1.3361477549520943e+08 1.3428608632277483e+08 1.3463139465255088e+08 1.3472828724888864e+08 1.3467945965250054e+08 1.3455453012806338e+08 1.3437961518709052e+08 1.3423740200751749e+08 1.3408777882732260e+08 1.3393251326263486e+08 1.3376891142563576e+08 1.3359984334530877e+08 1.3341664516475506e+08 1.3324552671002686e+08 1.3304210952430749e+08 1.3282448400214829e+08 1.3258866443003896e+08 1.3233153891884428e+08 1.3204932515079488e+08 1.3173776295009352e+08 1.3138673605837397e+08 1.3101682131065089e+08 1.3058586176829436e+08 1.3010280672426452e+08 1.2956066265848827e+08 1.2895190222429539e+08 1.2826876409941214e+08 1.2750346203497210e+08 1.2664353601709317e+08 1.2570927472416854e+08 1.2465740548104295e+08 1.2350301239050700e+08 1.2224876304515226e+08 1.2090449105009063e+08 1.1948692402199474e+08 1.1802789801426323e+08 1.1657124844957618e+08 1.1521213620451446e+08 1.1402354333322291e+08 1.1316882263749321e+08 1.1285737873652293e+08 1.1340537533735751e+08 1.1526131006968363e+08 1.1910553952136439e+08 1.2601263481639181e+08 1.3782643579098344e+08 3.8350529040819091e+08 +2.7282427475825530e+00 -2.4917025895481992e+08 -2.4912551767007571e+08 -2.4905296013015345e+08 -2.4895971743953449e+08 -2.4886881959441495e+08 -2.4881611431789300e+08 -2.4881741883673313e+08 -2.4884567331040874e+08 -2.4887350263891095e+08 -2.4889536862177297e+08 -2.4891443483738551e+08 -2.4893097964294878e+08 -2.4894411601689842e+08 -2.4895334126761931e+08 -2.4895838726666600e+08 -2.4895873336331439e+08 -2.4895380100874287e+08 -2.4894307752948472e+08 -2.4892597896412706e+08 -2.4890175011957020e+08 -2.4886945212380052e+08 -2.4882779574642363e+08 -2.4877416188267717e+08 -2.4870382054570240e+08 -2.4861616960278863e+08 -2.4851196289592981e+08 -2.4838671999666354e+08 -2.4823521452142945e+08 -2.4805202572853783e+08 -2.4783064505023220e+08 -2.4756304037136999e+08 -2.4723923428791356e+08 -2.4684678559482378e+08 -2.4637012976870611e+08 -2.4578975493126017e+08 -2.4508111731240633e+08 -2.4421331572003245e+08 -2.4314741539964592e+08 -2.4183443574126375e+08 -2.4021287821997029e+08 -2.3803851226066622e+08 -2.3529972231201032e+08 -2.3184811733211398e+08 -2.2750212039321908e+08 -2.2204482096263859e+08 -2.1522562648789766e+08 -2.0676844166071147e+08 -1.9638958342493016e+08 -1.8382847484983754e+08 -1.6889212314859390e+08 -1.5152029205545884e+08 -1.3180790237680411e+08 -1.1004013267219456e+08 -8.6763193707795054e+07 -6.2673120387406290e+07 -3.8549403940577261e+07 -1.5150141194737051e+07 6.8854733530965885e+06 2.7090379433361441e+07 4.5217790678159811e+07 6.1170466221588418e+07 7.5015036742543101e+07 8.6872504579750612e+07 9.6949928257656544e+07 1.0543240168618438e+08 1.1250574699515437e+08 1.1836201143140762e+08 1.2313608586722381e+08 1.2695650486764640e+08 1.2995075046945542e+08 1.3219857571476389e+08 1.3382282478667745e+08 1.3491310242405668e+08 1.3557872029076892e+08 1.3591968884774643e+08 1.3601323246882260e+08 1.3596174076635879e+08 1.3583456199030966e+08 1.3565757945645198e+08 1.3551392090653571e+08 1.3536284409410703e+08 1.3520609780977020e+08 1.3504094600377595e+08 1.3487027925662214e+08 1.3468539069324848e+08 1.3451253134455419e+08 1.3430719016730756e+08 1.3408750550216497e+08 1.3384945372816926e+08 1.3358989335537474e+08 1.3330500609609888e+08 1.3299049125302702e+08 1.3263617747512864e+08 1.3226263323031378e+08 1.3182758577598587e+08 1.3133994735752800e+08 1.3079265793535195e+08 1.3017811857739404e+08 1.2948849413759597e+08 1.2871592431874672e+08 1.2784787022423004e+08 1.2690461715613419e+08 1.2584275538328877e+08 1.2467739469487374e+08 1.2341122805378969e+08 1.2205418254024716e+08 1.2062314481984068e+08 1.1915025368437393e+08 1.1767979782139371e+08 1.1630766274213998e+08 1.1510777660756111e+08 1.1424493726118937e+08 1.1393057597193941e+08 1.1448379268162736e+08 1.1635736674752705e+08 1.2023814267706066e+08 1.2721096396537219e+08 1.3913695481126356e+08 3.8356345517064232e+08 +2.7332110703568113e+00 -2.4855375652266818e+08 -2.4850914214944354e+08 -2.4843679098216930e+08 -2.4834380146665078e+08 -2.4825312798955813e+08 -2.4820050754938793e+08 -2.4820171077356720e+08 -2.4822975970008096e+08 -2.4825735809900841e+08 -2.4827897784427285e+08 -2.4829776632891718e+08 -2.4831399422123769e+08 -2.4832676909301546e+08 -2.4833558000990364e+08 -2.4834014862529477e+08 -2.4833994281163514e+08 -2.4833436997512755e+08 -2.4832290002550182e+08 -2.4830492827561516e+08 -2.4827967540552664e+08 -2.4824617431736359e+08 -2.4820310270267883e+08 -2.4814780069280562e+08 -2.4807546980431426e+08 -2.4798540409780762e+08 -2.4787829290459150e+08 -2.4774961295026371e+08 -2.4759406161806434e+08 -2.4740611587960905e+08 -2.4717914615892750e+08 -2.4690497981838876e+08 -2.4657347682683781e+08 -2.4617200838674369e+08 -2.4568479426649132e+08 -2.4509207561691120e+08 -2.4436902748961008e+08 -2.4348443079090029e+08 -2.4239899469334647e+08 -2.4106334457655388e+08 -2.3941555328900146e+08 -2.3720850747863609e+08 -2.3443181771270660e+08 -2.3093653249157688e+08 -2.2654059051280737e+08 -2.2102675714767379e+08 -2.1414439305403042e+08 -2.0561778342545339e+08 -1.9516422487200177e+08 -1.8252488114994153e+08 -1.6750936855972543e+08 -1.5006089037313348e+08 -1.3027834603095558e+08 -1.0845093342575631e+08 -8.5128341616837159e+07 -6.1008854237380594e+07 -3.6872493932166003e+07 -1.3476210988053409e+07 8.5433228497958798e+06 2.8722320109010030e+07 4.6817443907639205e+07 6.2734518939181797e+07 7.6542682513018668e+07 8.8364718525626123e+07 9.8408921657454625e+07 1.0686107300941914e+08 1.1390733581500100e+08 1.1973988111768450e+08 1.2449353039860855e+08 1.2829662088816676e+08 1.3127643733642696e+08 1.3351244706378016e+08 1.3512722348611075e+08 1.3621006589087564e+08 1.3686998731854475e+08 1.3720661474340436e+08 1.3729680960620102e+08 1.3724265491480181e+08 1.3711322846378142e+08 1.3693418022896361e+08 1.3678907777688271e+08 1.3663654885782900e+08 1.3647832342917451e+08 1.3631162331109154e+08 1.3613935960880700e+08 1.3595278250020045e+08 1.3577818404007024e+08 1.3557092093082765e+08 1.3534917932657722e+08 1.3510889773936883e+08 1.3484690510953674e+08 1.3455934721825263e+08 1.3424188288987419e+08 1.3388428576654927e+08 1.3350711582311241e+08 1.3306798482542437e+08 1.3257576792951998e+08 1.3202333864741389e+08 1.3140302653830636e+08 1.3070692271078707e+08 1.2992709289857611e+08 1.2905091943235990e+08 1.2809868411183164e+08 1.2702684047772712e+08 1.2585052390020455e+08 1.2457245268544261e+08 1.2320264728894863e+08 1.2175815325556844e+08 1.2027141179255073e+08 1.1878716439249924e+08 1.1740202030900140e+08 1.1619085296725751e+08 1.1531990363898486e+08 1.1500262810357906e+08 1.1556105935821845e+08 1.1745225393013589e+08 1.2136953733581181e+08 1.2840801451679821e+08 1.4044607542434824e+08 3.8361852034059989e+08 +2.7381793931310696e+00 -2.4793109517896402e+08 -2.4788660830807191e+08 -2.4781446058282599e+08 -2.4772172500675148e+08 -2.4763127700406101e+08 -2.4757874173909909e+08 -2.4757984363845229e+08 -2.4760768652626190e+08 -2.4763505348157397e+08 -2.4765642648730052e+08 -2.4767493669546852e+08 -2.4769084708993435e+08 -2.4770325979478219e+08 -2.4771165564849266e+08 -2.4771574607005671e+08 -2.4771498743413725e+08 -2.4770877308339196e+08 -2.4769655548174492e+08 -2.4767770919002011e+08 -2.4765143072663409e+08 -2.4761672472798660e+08 -2.4757223576334399e+08 -2.4751526315287685e+08 -2.4744093983465207e+08 -2.4734845591170490e+08 -2.4723843611826372e+08 -2.4710631431188625e+08 -2.4694671158077922e+08 -2.4675400252502489e+08 -2.4652143647044957e+08 -2.4624070017297199e+08 -2.4590149090558892e+08 -2.4549099223671600e+08 -2.4499320823055986e+08 -2.4438813314434108e+08 -2.4365066103518450e+08 -2.4274925525010931e+08 -2.4164426945486760e+08 -2.4028593589644471e+08 -2.3861190010185164e+08 -2.3637216755358946e+08 -2.3355757914026913e+08 -2.3001862748251852e+08 -2.2557277307795918e+08 -2.2000246524799716e+08 -2.1305702791923481e+08 -2.0446113869329345e+08 -1.9393308691207412e+08 -1.8121578977746317e+08 -1.6612148276996458e+08 -1.4859681291455778e+08 -1.2874465372244306e+08 -1.0685820706526560e+08 -8.3490614083037570e+07 -5.9342374074317880e+07 -3.5194006791928329e+07 -1.1801286720612375e+07 1.0201656851628609e+07 3.0354317936168157e+07 4.8416807936126798e+07 6.4298009413814411e+07 7.8069555038382277e+07 8.9855998511867777e+07 9.9866859581387356e+07 1.0828859742452635e+08 1.1530770910163432e+08 1.2111648373622213e+08 1.2584966936575143e+08 1.2963540285734917e+08 1.3260076933820106e+08 1.3482494889978006e+08 1.3643024275292036e+08 1.3750564376189032e+08 1.3815986540577051e+08 1.3849215043601760e+08 1.3857899682681915e+08 1.3852218031556037e+08 1.3839050780747738e+08 1.3820939580000055e+08 1.3806285093862030e+08 1.3790887146342784e+08 1.3774916849093878e+08 1.3758092174429128e+08 1.3740706282553938e+08 1.3721879903827611e+08 1.3704246327829304e+08 1.3683328032960212e+08 1.3660948402501065e+08 1.3636697505085066e+08 1.3610255281018478e+08 1.3581232719143164e+08 1.3549191658495519e+08 1.3513103971290162e+08 1.3475024793114522e+08 1.3430703782776436e+08 1.3381024742934950e+08 1.3325268387123434e+08 1.3262660528163041e+08 1.3192402910373856e+08 1.3113694718242325e+08 1.3025266318759193e+08 1.2929145529037280e+08 1.2820964063306236e+08 1.2702238006167048e+08 1.2573241719747117e+08 1.2434986577057645e+08 1.2289193003229088e+08 1.2139135327731588e+08 1.1989332933594723e+08 1.1849519029953671e+08 1.1727275399847913e+08 1.1639370349487630e+08 1.1607351690479818e+08 1.1663715705180566e+08 1.1854595300284554e+08 1.2249970426218057e+08 1.2960376611884740e+08 1.4175377537362859e+08 3.8367049444692200e+08 +2.7431477159053279e+00 -2.4730228911902797e+08 -2.4725792607553479e+08 -2.4718598494674852e+08 -2.4709350363305160e+08 -2.4700328193658769e+08 -2.4695083189234415e+08 -2.4695183236298856e+08 -2.4697946869140258e+08 -2.4700660369962132e+08 -2.4702772946616009e+08 -2.4704596085712257e+08 -2.4706155317641091e+08 -2.4707360305935961e+08 -2.4708158313423738e+08 -2.4708519456687525e+08 -2.4708388221440899e+08 -2.4707702533752722e+08 -2.4706405892669353e+08 -2.4704433676473963e+08 -2.4701703117483237e+08 -2.4698111848806921e+08 -2.4693521010902125e+08 -2.4687656450068781e+08 -2.4680024594249609e+08 -2.4670534043419495e+08 -2.4659240802612755e+08 -2.4645683968895370e+08 -2.4629318015774223e+08 -2.4609570157745093e+08 -2.4585753209133503e+08 -2.4557021776991421e+08 -2.4522329312716991e+08 -2.4480375406261128e+08 -2.4429538894955644e+08 -2.4367794523559970e+08 -2.4292603617917687e+08 -2.4200780792183280e+08 -2.4088325920240444e+08 -2.3950223002775559e+08 -2.3780193992452142e+08 -2.3552951492632496e+08 -2.3267703040195432e+08 -2.2909442769161162e+08 -2.2459869528227061e+08 -2.1897197449775070e+08 -2.1196356258052635e+08 -2.0329854141234583e+08 -1.9269620606273898e+08 -1.7990123982415190e+08 -1.6472850729140535e+08 -1.4712810326414442e+08 -1.2720687055193521e+08 -1.0526199947528240e+08 -8.1850056939610794e+07 -5.7673724848774470e+07 -3.3513985873988602e+07 -1.0125409635981269e+07 1.1860436505713236e+07 3.1986336515259996e+07 5.0015848712322667e+07 6.5860905732000977e+07 7.9595624282127857e+07 9.1346316108903363e+07 1.0132371495171702e+08 1.0971494897754692e+08 1.1670684182750759e+08 1.2249179501814047e+08 1.2720447911579271e+08 1.3097282761909647e+08 1.3392372371490234e+08 1.3613605877420977e+08 1.3773186037871444e+08 1.3879981400994676e+08 1.3944833265826243e+08 1.3977627412747040e+08 1.3985977240222678e+08 1.3980029529175991e+08 1.3966637838555667e+08 1.3948320456973606e+08 1.3933521881685030e+08 1.3917979036056095e+08 1.3901861146987045e+08 1.3884881980403873e+08 1.3867336743467566e+08 1.3848341886359057e+08 1.3830534764548922e+08 1.3809424698217461e+08 1.3786839825089893e+08 1.3762366435388300e+08 1.3735681518929067e+08 1.3706392479313827e+08 1.3674057116553822e+08 1.3637641819676375e+08 1.3599200849841273e+08 1.3554472379629493e+08 1.3504336494769961e+08 1.3448067278452504e+08 1.3384883408266857e+08 1.3313979270148721e+08 1.3234546667828614e+08 1.3145308113513370e+08 1.3048291048897494e+08 1.2939113581559321e+08 1.2819294333042495e+08 1.2689110194290785e+08 1.2549581855384763e+08 1.2402445594636492e+08 1.2251005916917923e+08 1.2099827391558391e+08 1.1958715419793263e+08 1.1835346137635586e+08 1.1746631864095066e+08 1.1714322423730454e+08 1.1771206753572290e+08 1.1963844544068851e+08 1.2362862431364667e+08 1.3079819851818736e+08 1.4306003250936455e+08 3.8371938604842603e+08 +2.7481160386795862e+00 -2.4666734677391869e+08 -2.4662311236395434e+08 -2.4655137806502694e+08 -2.4645915138973725e+08 -2.4636915738284719e+08 -2.4631679326335487e+08 -2.4631769201000336e+08 -2.4634512126295969e+08 -2.4637202383331719e+08 -2.4639290186167705e+08 -2.4641085389970857e+08 -2.4642612757321876e+08 -2.4643781398992962e+08 -2.4644537758365551e+08 -2.4644850924688983e+08 -2.4644664230094481e+08 -2.4643914190741080e+08 -2.4642542555425400e+08 -2.4640482622297698e+08 -2.4637649200769123e+08 -2.4633937089592010e+08 -2.4629204108626410e+08 -2.4623172013986319e+08 -2.4615340359982172e+08 -2.4605607322018355e+08 -2.4594022428386649e+08 -2.4580120485564461e+08 -2.4563348326227686e+08 -2.4543122911496696e+08 -2.4518744929379529e+08 -2.4489354910966170e+08 -2.4453890026019347e+08 -2.4411031094890091e+08 -2.4359135387694377e+08 -2.4296152977825272e+08 -2.4219517131746268e+08 -2.4126010779594794e+08 -2.4011598361880198e+08 -2.3871224746101761e+08 -2.3698569418517038e+08 -2.3468057219726118e+08 -2.3179019546274796e+08 -2.2816395865898636e+08 -2.2361838446694410e+08 -2.1793531427081901e+08 -2.1086402866524532e+08 -2.0213002564773622e+08 -1.9145361894077513e+08 -1.7858127045947430e+08 -1.6333048368921939e+08 -1.4565480502948099e+08 -1.2566504161237697e+08 -1.0366235650069262e+08 -8.0206715950413987e+07 -5.6002951416601516e+07 -3.1832474418060113e+07 -8.4486208498657383e+06 1.3519623094672903e+07 3.3618339585078888e+07 5.1614532322915465e+07 6.7423176115635127e+07 8.1120860339534819e+07 9.2835643015174404e+07 1.0277946081457815e+08 1.1114010183523932e+08 1.1810470908273305e+08 1.2386579080928428e+08 1.2855793610881135e+08 1.3230887212864290e+08 1.3524527781613174e+08 1.3744575434685242e+08 1.3903205426267344e+08 1.4009255471448261e+08 1.4073536728819588e+08 1.4105896412575743e+08 1.4113911470963195e+08 1.4107697827180696e+08 1.4094081866751766e+08 1.4075558504366210e+08 1.4060615994156340e+08 1.4044928410391265e+08 1.4028663094541192e+08 1.4011529609612697e+08 1.3993825206860733e+08 1.3974662063706610e+08 1.3956681583188349e+08 1.3935379961102673e+08 1.3912590076124394e+08 1.3887894444293642e+08 1.3860967108283108e+08 1.3831411890378147e+08 1.3798782556183475e+08 1.3762040020355231e+08 1.3723237657181069e+08 1.3678102184667453e+08 1.3627509967699316e+08 1.3570728466625968e+08 1.3506969231771198e+08 1.3435419298923704e+08 1.3355263099351382e+08 1.3265215301899326e+08 1.3167302960315049e+08 1.3057130608878046e+08 1.2936219395475321e+08 1.2804848737002978e+08 1.2664048630190496e+08 1.2515571188757403e+08 1.2362751059126857e+08 1.2210197948653178e+08 1.2067789357843161e+08 1.1943295686510733e+08 1.1853773097833055e+08 1.1821173205059281e+08 1.1878577267190775e+08 1.2072971280898675e+08 1.2475627844078960e+08 1.3199129155981708e+08 1.4436482479041377e+08 3.8376520373347408e+08 +2.7530843614538445e+00 -2.4602628944088301e+08 -2.4598218167440072e+08 -2.4591065519690692e+08 -2.4581868623990986e+08 -2.4572891827516657e+08 -2.4567664106076109e+08 -2.4567743777346864e+08 -2.4570465947505558e+08 -2.4573132912684327e+08 -2.4575195891782376e+08 -2.4576963107303494e+08 -2.4578458553681919e+08 -2.4579590785363960e+08 -2.4580305427758455e+08 -2.4580570540580097e+08 -2.4580328300752440e+08 -2.4579513812681353e+08 -2.4578067072255158e+08 -2.4575919295238328e+08 -2.4572982864707193e+08 -2.4569149741384235e+08 -2.4564274420555574e+08 -2.4558074563792580e+08 -2.4550042844319659e+08 -2.4540066998959380e+08 -2.4528190071074495e+08 -2.4513942575024858e+08 -2.4496763697286132e+08 -2.4476060138092196e+08 -2.4451120451495174e+08 -2.4421071085753161e+08 -2.4384832923876047e+08 -2.4341068014372069e+08 -2.4288112063135099e+08 -2.4223890482446131e+08 -2.4145808500930342e+08 -2.4050617402522993e+08 -2.3934246254974970e+08 -2.3791600884823054e+08 -2.3616318447242764e+08 -2.3382536212566745e+08 -2.3089709844300997e+08 -2.2722724607628059e+08 -2.2263186811966446e+08 -2.1689251407970607e+08 -2.0975845792847237e+08 -2.0095562557854575e+08 -1.9020536226009557e+08 -1.7725592092944387e+08 -1.6192745357881695e+08 -1.4417696184034711e+08 -1.2411921198710677e+08 -1.0205932394569066e+08 -7.8560636808875114e+07 -5.4330098538016006e+07 -3.0149515548603311e+07 -6.7709613493143497e+06 1.5179178037292035e+07 3.5250291023406737e+07 5.3212824992817186e+07 6.8984788922225475e+07 8.2645233437755868e+07 9.4323951056718320e+07 1.0423407034036969e+08 1.1256403028457969e+08 1.1950128607503785e+08 1.2523844707039189e+08 1.2991001691728736e+08 1.3364351345187162e+08 1.3656540910105827e+08 1.3875401338602993e+08 1.4033080241168404e+08 1.4138384406231609e+08 1.4202094761413127e+08 1.4234019884500980e+08 1.4241700223204187e+08 1.4235220778992185e+08 1.4221380722811398e+08 1.4202651583227015e+08 1.4187565294785944e+08 1.4171733135287428e+08 1.4155320560182855e+08 1.4138032933069375e+08 1.4120169546451995e+08 1.4100838312370798e+08 1.4082684663188326e+08 1.4061191704294279e+08 1.4038197041734228e+08 1.4013279421682894e+08 1.3986109942978126e+08 1.3956288850743705e+08 1.3923365880722588e+08 1.3886296482165822e+08 1.3847133130046436e+08 1.3801591119623783e+08 1.3750543091179025e+08 1.3693249889693335e+08 1.3628915946382588e+08 1.3556720955270398e+08 1.3475841983555776e+08 1.3384985868247055e+08 1.3286179262685251e+08 1.3175013161373468e+08 1.3053011227924278e+08 1.2920455402300957e+08 1.2778384977279480e+08 1.2628567883936948e+08 1.2474368875911997e+08 1.2320442749535994e+08 1.2176739010577232e+08 1.2051122231821999e+08 1.1960792249610305e+08 1.1927902238307947e+08 1.1985825441108090e+08 1.2181973676337783e+08 1.2588264768762018e+08 1.3318302518764393e+08 1.4566813028304008e+08 3.8380795611956435e+08 +2.7580526842281028e+00 -2.4537913090980232e+08 -2.4533515048820648e+08 -2.4526383220049596e+08 -2.4517212050162464e+08 -2.4508258045102197e+08 -2.4503039048900875e+08 -2.4503108499637294e+08 -2.4505809872625348e+08 -2.4508453498356399e+08 -2.4510491604178882e+08 -2.4512230779042208e+08 -2.4513694248717159e+08 -2.4514790008163324e+08 -2.4515462866060370e+08 -2.4515679850317004e+08 -2.4515381981050000e+08 -2.4514502949326512e+08 -2.4512980995363840e+08 -2.4510745250365245e+08 -2.4507705667847648e+08 -2.4503751366830316e+08 -2.4498733514130849e+08 -2.4492365672617915e+08 -2.4484133627225128e+08 -2.4473914662553158e+08 -2.4461745329053497e+08 -2.4447151847479576e+08 -2.4429565753152862e+08 -2.4408383478184399e+08 -2.4382881435537136e+08 -2.4352171984243846e+08 -2.4315159715923139e+08 -2.4270487905953771e+08 -2.4216470699467584e+08 -2.4151008858911797e+08 -2.4071479597717512e+08 -2.3974602592511475e+08 -2.3856271600261629e+08 -2.3711353500243425e+08 -2.3533443253451675e+08 -2.3296390762804857e+08 -2.2999776361732018e+08 -2.2628431578510693e+08 -2.2163917387176070e+08 -2.1584360357314882e+08 -2.0864688225160736e+08 -1.9977537549715549e+08 -1.8895147283055896e+08 -1.7592523055385768e+08 -1.6051945862463462e+08 -1.4269461734575289e+08 -1.2256942674836423e+08 -1.0045294757141958e+08 -7.6911865136505038e+07 -5.2655210876197316e+07 -2.8465152273686733e+07 -5.0924719919492016e+06 1.6839062889065184e+07 3.6882154847333550e+07 5.4810693085760906e+07 7.0545712645333484e+07 8.4168713936347410e+07 9.5811212188070253e+07 1.0568751682376538e+08 1.1398670873391329e+08 1.2089654812992032e+08 1.2660973987770250e+08 1.3126069822722703e+08 1.3497672876615140e+08 1.3788409513928431e+08 1.4006081376893190e+08 1.4162808294033399e+08 1.4267366034741333e+08 1.4330505206154293e+08 1.4361995680560613e+08 1.4369341355829018e+08 1.4362596248595831e+08 1.4348532274784431e+08 1.4329597565173906e+08 1.4314367657609591e+08 1.4298391087223598e+08 1.4281831422868514e+08 1.4264389832302654e+08 1.4246367646400154e+08 1.4226868519369465e+08 1.4208541894470897e+08 1.4186857820906910e+08 1.4163658618465373e+08 1.4138519267792571e+08 1.4111107927336672e+08 1.4081021269166458e+08 1.4047805003848523e+08 1.4010409124250296e+08 1.3970885193641272e+08 1.3924937116529343e+08 1.3873433804832855e+08 1.3815629495858404e+08 1.3750721509937254e+08 1.3677882207819572e+08 1.3596281301165241e+08 1.3504617806826657e+08 1.3404917965259720e+08 1.3292759264943732e+08 1.3169667874563214e+08 1.3035928254195885e+08 1.2892588981933746e+08 1.2741433787883508e+08 1.2585857498058338e+08 1.2430559947983922e+08 1.2285562553469922e+08 1.2158823967880625e+08 1.2067687527261949e+08 1.2034507736133298e+08 1.2092949479314330e+08 1.2290849904979737e+08 1.2700771319152570e+08 1.3437337944432622e+08 1.4696992716167924e+08 3.8384765185292041e+08 +2.7630210070023611e+00 -2.4472588573368788e+08 -2.4468203519342443e+08 -2.4461092473506922e+08 -2.4451947012285760e+08 -2.4443016017057723e+08 -2.4437805709478495e+08 -2.4437864918659437e+08 -2.4440545457299799e+08 -2.4443165696576804e+08 -2.4445178880154404e+08 -2.4446889962775415e+08 -2.4448321400587484e+08 -2.4449380626750213e+08 -2.4450011633924726e+08 -2.4450180416024944e+08 -2.4449826834913126e+08 -2.4448883166659984e+08 -2.4447285893175563e+08 -2.4444962059037685e+08 -2.4441819184965995e+08 -2.4437743544781139e+08 -2.4432582973040047e+08 -2.4426046929897410e+08 -2.4417614304979196e+08 -2.4407151917401361e+08 -2.4394689816886389e+08 -2.4379749929390600e+08 -2.4361756134217075e+08 -2.4340094588679454e+08 -2.4314029557846591e+08 -2.4282659305547637e+08 -2.4244872128176814e+08 -2.4199292527050531e+08 -2.4144213091061491e+08 -2.4077509944903404e+08 -2.3996532310494861e+08 -2.3897968297219285e+08 -2.3777676414521837e+08 -2.3630484689597148e+08 -2.3449946027729651e+08 -2.3209623177667019e+08 -2.2909221541327319e+08 -2.2533519377556732e+08 -2.2064032949764445e+08 -2.1478861253505415e+08 -2.0752933364033452e+08 -1.9858930980625665e+08 -1.8769198755520630e+08 -1.7458923872469366e+08 -1.5910654053761202e+08 -1.4120781521287510e+08 -1.2101573095486830e+08 -9.8843273095051125e+07 -7.5260446481473014e+07 -5.0978332996077582e+07 -2.6779427484144542e+07 -3.4131935052070110e+06 1.8499239342892148e+07 3.8513895213857196e+07 5.6408103104437172e+07 7.2105915914749712e+07 8.5691272327249020e+07 9.7297398492259741e+07 1.0713977368416925e+08 1.1540811171240708e+08 1.2229047069083044e+08 1.2797964542265983e+08 1.3260995683762886e+08 1.3630849536056468e+08 1.3920131360986480e+08 1.4136613348152852e+08 1.4292387407151070e+08 1.4396198197081155e+08 1.4458765916258556e+08 1.4489821663454881e+08 1.4496832738360664e+08 1.4489822110580289e+08 1.4475534401290587e+08 1.4456394332368681e+08 1.4441020967217526e+08 1.4424900153206706e+08 1.4408193572048357e+08 1.4390598199342901e+08 1.4372417401400414e+08 1.4352750582163000e+08 1.4334251177394709e+08 1.4312376214491475e+08 1.4288972713270625e+08 1.4263611893301317e+08 1.4235958976064682e+08 1.4205607064784554e+08 1.4172097849588174e+08 1.4134375876059937e+08 1.4094491783461732e+08 1.4048138117636681e+08 1.3996180058522949e+08 1.3937865243521917e+08 1.3872383890401426e+08 1.3798901035285959e+08 1.3716579042932412e+08 1.3624109121841386e+08 1.3523517087174898e+08 1.3410366955287537e+08 1.3286187389236131e+08 1.3151265366285664e+08 1.3006658738927113e+08 1.2854167017688763e+08 1.2697215065633361e+08 1.2540547706940176e+08 1.2394258171070658e+08 1.2266399097930200e+08 1.2174457147493128e+08 1.2140987920076074e+08 1.2199947594675454e+08 1.2399598150481172e+08 1.2813145618326820e+08 1.3556233447150904e+08 1.4827019370921814e+08 3.8388429960808617e+08 +2.7679893297766194e+00 -2.4406657341173559e+08 -2.4402284906537274e+08 -2.4395194764071518e+08 -2.4386075160580912e+08 -2.4377167273164842e+08 -2.4371965663906613e+08 -2.4372014603986025e+08 -2.4374674272259533e+08 -2.4377271079184261e+08 -2.4379259292544624e+08 -2.4380942232225528e+08 -2.4382341583594716e+08 -2.4383364216643679e+08 -2.4383953308208764e+08 -2.4384073816039672e+08 -2.4383664442386565e+08 -2.4382656046808121e+08 -2.4380983350223693e+08 -2.4378571308747011e+08 -2.4375325007005706e+08 -2.4371127870217499e+08 -2.4365824397094336e+08 -2.4359119941119605e+08 -2.4350486489927772e+08 -2.4339780384174395e+08 -2.4327025165328065e+08 -2.4311738463328856e+08 -2.4293336497114775e+08 -2.4271195142665958e+08 -2.4244566510841906e+08 -2.4212534764950225e+08 -2.4173971902661353e+08 -2.4127483651244295e+08 -2.4071341048414409e+08 -2.4003395594233567e+08 -2.3920968543719289e+08 -2.3820716480256721e+08 -2.3698462730418700e+08 -2.3548996565918720e+08 -2.3365828976371396e+08 -2.3122235779816908e+08 -2.2818047840925190e+08 -2.2437990618531981e+08 -2.1963536291323721e+08 -2.1372757088264030e+08 -2.0640584422362319e+08 -1.9739746301822248e+08 -1.8642694342894152e+08 -1.7324798490443403e+08 -1.5768874107346585e+08 -1.3971659912484053e+08 -1.1945816965087655e+08 -9.7230346187753633e+07 -7.3606426317236319e+07 -4.9299509363345653e+07 -2.5092383952524304e+07 -1.7331664855713376e+06 2.0159669229525190e+07 4.0145476420189343e+07 5.8005021691029400e+07 7.3665367496823281e+07 8.7212879235252962e+07 9.8782482180900127e+07 1.0859081446556912e+08 1.1682821387038773e+08 1.2368302931948900e+08 1.2934814001240772e+08 1.3395776966090022e+08 1.3763879063550043e+08 1.4051704230227345e+08 1.4266995061903742e+08 1.4421815413600275e+08 1.4524878744137883e+08 1.4586874755628133e+08 1.4617495706498292e+08 1.4624172250942856e+08 1.4616896250140783e+08 1.4602384991529289e+08 1.4583039777536467e+08 1.4567523118755999e+08 1.4551258230774751e+08 1.4534404907718545e+08 1.4516655936739412e+08 1.4498316716638619e+08 1.4478482408702362e+08 1.4459810422819513e+08 1.4437744799084285e+08 1.4414137243587255e+08 1.4388555219294024e+08 1.4360661014258435e+08 1.4330044167110834e+08 1.4296242352317914e+08 1.4258194677405176e+08 1.4217950845306778e+08 1.4171192075504586e+08 1.4118779812364253e+08 1.4059955101216853e+08 1.3993901065861574e+08 1.3919775426457736e+08 1.3836733209634247e+08 1.3743457827466172e+08 1.3641974657441369e+08 1.3527834277888098e+08 1.3402567835533260e+08 1.3266464821820369e+08 1.3120592352534565e+08 1.2966765699860987e+08 1.2808439728017810e+08 1.2650404198515812e+08 1.2502824056974846e+08 1.2373845834189475e+08 1.2281099335905810e+08 1.2247341020544043e+08 1.2306818009007166e+08 1.2508216605551229e+08 1.2925385798765200e+08 1.3674987050997028e+08 1.4956890831678340e+08 3.8391790808751857e+08 +2.7729576525508777e+00 -2.4340120363104162e+08 -2.4335761095139202e+08 -2.4328691854487979e+08 -2.4319598199019796e+08 -2.4310713409787118e+08 -2.4305520491740695e+08 -2.4305559145804444e+08 -2.4308197903145972e+08 -2.4310771233663478e+08 -2.4312734430138806e+08 -2.4314389177152312e+08 -2.4315756388080594e+08 -2.4316742369380367e+08 -2.4317289481760964e+08 -2.4317361644656989e+08 -2.4316896399535981e+08 -2.4315823187907878e+08 -2.4314074967151383e+08 -2.4311574603001338e+08 -2.4308224740932149e+08 -2.4303905954174286e+08 -2.4298459402153245e+08 -2.4291586327859184e+08 -2.4282751810516104e+08 -2.4271801699672803e+08 -2.4258753021147430e+08 -2.4243119107960942e+08 -2.4224308514459723e+08 -2.4201686829237932e+08 -2.4174494003055221e+08 -2.4141800093761960e+08 -2.4102460797512108e+08 -2.4055063068086514e+08 -2.3997856398040783e+08 -2.3928667676642010e+08 -2.3844790217747155e+08 -2.3742849121169963e+08 -2.3618632596487603e+08 -2.3466891257942063e+08 -2.3281094321153399e+08 -2.3034230907244265e+08 -2.2726257733426651e+08 -2.2341847929701883e+08 -2.1862430217370552e+08 -2.1266050866441932e+08 -2.0527644625097615e+08 -1.9619986975247213e+08 -1.8515637753648347e+08 -1.7190150862359342e+08 -1.5626610203151125e+08 -1.3822101277921990e+08 -1.1789678786409186e+08 -9.5614212473268241e+07 -7.1949850041094393e+07 -4.7618784343211003e+07 -2.3404064332223739e+07 -5.2431397832179682e+04 2.1820314518265277e+07 4.1776862904371507e+07 5.9601415627361424e+07 7.5224036294735000e+07 8.8733505418165609e+07 1.0026643559459738e+08 1.1004061283705510e+08 1.1824698997962476e+08 1.2507419969580457e+08 1.3071520006953676e+08 1.3530411372306380e+08 1.3896759210330549e+08 1.4183125911639509e+08 1.4397224338563552e+08 1.4551090157307690e+08 1.4653405537530488e+08 1.4714829598913804e+08 1.4745015693733957e+08 1.4751357784361395e+08 1.4743816563079083e+08 1.4729081945311779e+08 1.4709531803996217e+08 1.4693872017942226e+08 1.4677463228056934e+08 1.4660463340435144e+08 1.4642560957573202e+08 1.4624063507819161e+08 1.4604061917485046e+08 1.4585217552105471e+08 1.4562961499190480e+08 1.4539150137275815e+08 1.4513347177321383e+08 1.4485211977461374e+08 1.4454330516067526e+08 1.4420236456803682e+08 1.4381863478421402e+08 1.4341260335300556e+08 1.4294096952924272e+08 1.4241231036669415e+08 1.4181897047779858e+08 1.4115271024596035e+08 1.4040503380237836e+08 1.3956741812105224e+08 1.3862661947854972e+08 1.3760288714993393e+08 1.3645159288062012e+08 1.3518807286752483e+08 1.3381524713626824e+08 1.3234387936569974e+08 1.3079227970291337e+08 1.2919529643845032e+08 1.2760127604016605e+08 1.2611258413864833e+08 1.2481162397884795e+08 1.2387612327026902e+08 1.2353565276843202e+08 1.2413558953035378e+08 1.2616703471993215e+08 1.3037490002283056e+08 1.3793596789975846e+08 1.5086604948398826e+08 3.8394848602118689e+08 +2.7779259753251360e+00 -2.4272979744135132e+08 -2.4268633395819712e+08 -2.4261585231214443e+08 -2.4252517499978068e+08 -2.4243655954421651e+08 -2.4238471805369043e+08 -2.4238500152778149e+08 -2.4241117951328877e+08 -2.4243667763259724e+08 -2.4245605897581381e+08 -2.4247232403289920e+08 -2.4248567420321915e+08 -2.4249516692482328e+08 -2.4250021763344359e+08 -2.4250045512178552e+08 -2.4249524318367800e+08 -2.4248386204040840e+08 -2.4246562360470629e+08 -2.4243973561259192e+08 -2.4240520009635070e+08 -2.4236079423639032e+08 -2.4230489620015091e+08 -2.4223447727639484e+08 -2.4214411911103678e+08 -2.4203217516590035e+08 -2.4189875047055501e+08 -2.4173893537853855e+08 -2.4154673874805364e+08 -2.4131571353431395e+08 -2.4103813758889446e+08 -2.4070457039184412e+08 -2.4030340586744052e+08 -2.3982032583075485e+08 -2.3923760982269356e+08 -2.3853328077709872e+08 -2.3767999268737394e+08 -2.3664368215203765e+08 -2.3538188076818538e+08 -2.3384170909945092e+08 -2.3195744299293822e+08 -2.2945610913069782e+08 -2.2633853706524774e+08 -2.2245093953739518e+08 -2.1760717547210342e+08 -2.1158745605922446e+08 -2.0414117209150764e+08 -1.9499656473352352e+08 -1.8388032705031636e+08 -1.7054984947957513e+08 -1.5483866525144133e+08 -1.3672109988565156e+08 -1.1633163060351360e+08 -9.3994917526395828e+07 -7.0290762972802296e+07 -4.5936202199036621e+07 -2.1714511156474493e+07 1.6289714256510579e+06 2.3481137317479461e+07 4.3408019245497800e+07 6.1197251835488886e+07 7.6781891348836094e+07 9.0253121766892612e+07 1.0174923120296289e+08 1.1148914259294604e+08 1.1966441493359983e+08 1.2646395761817618e+08 1.3208080213290460e+08 1.3664896616397858e+08 1.4029487738808852e+08 1.4314394206270623e+08 1.4527299009510508e+08 1.4680209493061918e+08 1.4781776449689451e+08 1.4842628331454310e+08 1.4872379519864041e+08 1.4878387240067688e+08 1.4870580955863649e+08 1.4855623173068345e+08 1.4835868325667977e+08 1.4820065581084445e+08 1.4803513063747677e+08 1.4786366791301587e+08 1.4768311185495761e+08 1.4749655701190585e+08 1.4729487037493145e+08 1.4710470497108445e+08 1.4688024249791005e+08 1.4664009332717279e+08 1.4637985709387785e+08 1.4609609811652052e+08 1.4578464061981311e+08 1.4544078118192971e+08 1.4505380239618599e+08 1.4464418219881406e+08 1.4416850723045784e+08 1.4363531712056848e+08 1.4303689072175977e+08 1.4236491765033484e+08 1.4161082905650952e+08 1.4076602871221408e+08 1.3981719517137474e+08 1.3878457308645403e+08 1.3762340050951031e+08 1.3634903825930357e+08 1.3496443144216511e+08 1.3348043614378165e+08 1.3191551974320365e+08 1.3030482981075807e+08 1.2869716113925722e+08 1.2719559453509881e+08 1.2588347019192521e+08 1.2493994364316951e+08 1.2459658937161614e+08 1.2520168666446646e+08 1.2725056960699674e+08 1.3149456380127147e+08 1.3912060708028838e+08 1.5216159581940779e+08 3.8397604216616964e+08 +2.7828942980993943e+00 -2.4205236944786182e+08 -2.4200903420746627e+08 -2.4193876404714769e+08 -2.4184834921679556e+08 -2.4175996502555856e+08 -2.4170821223936492e+08 -2.4170839246684387e+08 -2.4173436035166800e+08 -2.4175962287010002e+08 -2.4177875315280989e+08 -2.4179473532132861e+08 -2.4180776302412540e+08 -2.4181688809253541e+08 -2.4182151777603748e+08 -2.4182127044639629e+08 -2.4181549826697615e+08 -2.4180346725084043e+08 -2.4178447162547377e+08 -2.4175769818782589e+08 -2.4172212451847589e+08 -2.4167649921391007e+08 -2.4161916698299140e+08 -2.4154705793754131e+08 -2.4145468451871690e+08 -2.4134029503451368e+08 -2.4120392921592429e+08 -2.4104063443393731e+08 -2.4084434282544404e+08 -2.4060850436090121e+08 -2.4032527518580258e+08 -2.3998507364260668e+08 -2.3957613060150239e+08 -2.3908394017447126e+08 -2.3849056659251904e+08 -2.3777378698779035e+08 -2.3690597648574966e+08 -2.3585275773223427e+08 -2.3457131251138309e+08 -2.3300837681618205e+08 -2.3109781163235936e+08 -2.2856378165456718e+08 -2.2540838262622550e+08 -2.2147731347622311e+08 -2.1658401113816082e+08 -2.1050844337407932e+08 -2.0300005423168159e+08 -1.9378758279016799e+08 -1.8259882922965047e+08 -1.6919304713426894e+08 -1.5340647261252394e+08 -1.3521690416463342e+08 -1.1476274285866801e+08 -9.2372506871191621e+07 -6.8629210353270411e+07 -4.4251807091519371e+07 -2.0023766837484319e+07 3.3110017856776603e+06 2.5142099875203505e+07 4.5038910164466307e+07 6.2792497377866812e+07 7.8338901836827934e+07 9.1771699305763528e+07 1.0323084160483497e+08 1.1293637765248713e+08 1.2108046374752955e+08 1.2785227900384800e+08 1.3344492285701992e+08 1.3799230423705831e+08 1.4162062422617486e+08 1.4445506926199201e+08 1.4657216917055988e+08 1.4809171286477098e+08 1.4909989363810185e+08 1.4970268849347663e+08 1.4999585090290093e+08 1.5005258530187503e+08 1.4997187345577875e+08 1.4982006595865890e+08 1.4962047267093816e+08 1.4946101735082901e+08 1.4929405667108983e+08 1.4912113192005223e+08 1.4893904554708585e+08 1.4875091233551404e+08 1.4854755708276048e+08 1.4835567200190905e+08 1.4812930996402910e+08 1.4788712778745106e+08 1.4762468767954606e+08 1.4733852473236337e+08 1.4702442765631276e+08 1.4667765302063009e+08 1.4628742931882599e+08 1.4587422475864109e+08 1.4539451369307461e+08 1.4485679829402897e+08 1.4425329173661679e+08 1.4357561295786902e+08 1.4281512021840483e+08 1.4196314417912471e+08 1.4100628579481864e+08 1.3996478497183836e+08 1.3879374641540790e+08 1.3750855545879653e+08 1.3611218225734475e+08 1.3461557518858710e+08 1.3303735866721866e+08 1.3141297917006604e+08 1.2979167927950448e+08 1.2827725396777473e+08 1.2695397937325549e+08 1.2600243700134736e+08 1.2565620258640204e+08 1.2626645397878012e+08 1.2833275291671428e+08 1.3261283092954946e+08 1.4030376859038842e+08 1.5345552604017198e+08 3.8400058530625653e+08 +2.7878626208736526e+00 -2.4136893635448289e+08 -2.4132573048848423e+08 -2.4125567251395267e+08 -2.4116551767198351e+08 -2.4107736685972562e+08 -2.4102570367105153e+08 -2.4102578059951919e+08 -2.4105153791070828e+08 -2.4107656439747593e+08 -2.4109544319415024e+08 -2.4111114200880072e+08 -2.4112384672162217e+08 -2.4113260358765990e+08 -2.4113681164783853e+08 -2.4113607883848763e+08 -2.4112974568088585e+08 -2.4111706396664158e+08 -2.4109731021499446e+08 -2.4106965026615408e+08 -2.4103303721980873e+08 -2.4098619105974868e+08 -2.4092742300354066e+08 -2.4085362195313090e+08 -2.4075923108749774e+08 -2.4064239344485217e+08 -2.4050308339015317e+08 -2.4033630530716011e+08 -2.4013591457766154e+08 -2.3989525813797322e+08 -2.3960637038097569e+08 -2.3925952847709870e+08 -2.3884280023237091e+08 -2.3834149208134407e+08 -2.3773745302759027e+08 -2.3700821456751597e+08 -2.3612587324648675e+08 -2.3505573821629024e+08 -2.3375464214532095e+08 -2.3216893747970763e+08 -2.3023207180551103e+08 -2.2766535047459763e+08 -2.2447213918698996e+08 -2.2049762782346141e+08 -2.1555483763651979e+08 -2.0942350104241401e+08 -2.0185312527381739e+08 -1.9257295885286802e+08 -1.8131192141728094e+08 -1.6783114131230068e+08 -1.5196956603120473e+08 -1.3370846934518033e+08 -1.1319016959683698e+08 -9.0747025979830891e+07 -6.6965237343308158e+07 -4.2565643077403791e+07 -1.8331873665469941e+07 4.9936196169206984e+06 2.6803164579567518e+07 4.6669500524005659e+07 6.4387119457714543e+07 7.9895037074067131e+07 9.3289209193036243e+07 1.0471123952872381e+08 1.1438229206089404e+08 1.2249511155836368e+08 1.2923913988867836e+08 1.3480753901292342e+08 1.3933410530985954e+08 1.4294481046629307e+08 1.4576461894615710e+08 1.4786975914487064e+08 1.4937973414066026e+08 1.5038042173906010e+08 1.5097749059443322e+08 1.5126630321156877e+08 1.5131969577520645e+08 1.5123633659993961e+08 1.5108230145396668e+08 1.5088066563426417e+08 1.5071978417478305e+08 1.5055138978050694e+08 1.5037700484824300e+08 1.5019339009991458e+08 1.5000368052275184e+08 1.4979865879911879e+08 1.4960505614313331e+08 1.4937679695063141e+08 1.4913258434716204e+08 1.4886794315988377e+08 1.4857937929123268e+08 1.4826264598208904e+08 1.4791295984358898e+08 1.4751949536502424e+08 1.4710271090408990e+08 1.4661896885461497e+08 1.4607673389861929e+08 1.4546815361701134e+08 1.4478477635666314e+08 1.4401788758100832e+08 1.4315874493237093e+08 1.4219387189007950e+08 1.4114350349292129e+08 1.3996261144685665e+08 1.3866660549169201e+08 1.3725848080006385e+08 1.3574927792462271e+08 1.3415777811707905e+08 1.3251972638249239e+08 1.3088481255002946e+08 1.2935754473626751e+08 1.2802313400496148e+08 1.2706358595835041e+08 1.2671447507305181e+08 1.2732987404938029e+08 1.2941356694001283e+08 1.3372968310813186e+08 1.4148543306891140e+08 1.5474781897266752e+08 3.8402212425155085e+08 +2.7928309436479108e+00 -2.4067951122453943e+08 -2.4063643690186116e+08 -2.4056659338683370e+08 -2.4047670048341349e+08 -2.4038878199368712e+08 -2.4033720881536388e+08 -2.4033718238917017e+08 -2.4036272873059562e+08 -2.4038751872267422e+08 -2.4040614561770141e+08 -2.4042156062236571e+08 -2.4043394183096191e+08 -2.4044232995647350e+08 -2.4044611580876595e+08 -2.4044489687219158e+08 -2.4043800201663318e+08 -2.4042466880000588e+08 -2.4040415600977862e+08 -2.4037560851331714e+08 -2.4033795490144879e+08 -2.4028988651530397e+08 -2.4022968105142424e+08 -2.4015418616935414e+08 -2.4005777573228899e+08 -2.3993848739553940e+08 -2.3979623009185159e+08 -2.3962596521546862e+08 -2.3942147136193570e+08 -2.3917599238717681e+08 -2.3888144088948670e+08 -2.3852795283856836e+08 -2.3810343297083250e+08 -2.3759300007578033e+08 -2.3697828802097338e+08 -2.3623658284081089e+08 -2.3533970279833800e+08 -2.3425264402163503e+08 -2.3293189077376014e+08 -2.3132341299136546e+08 -2.2936024633836842e+08 -2.2676083956871748e+08 -2.2352983206102890e+08 -2.1951190942910978e+08 -2.1451968356473175e+08 -2.0833265962286383e+08 -2.0070041793445262e+08 -1.9135272795174912e+08 -1.8001964103899330e+08 -1.6646417179919919e+08 -1.5052798745971969e+08 -1.3219583916356650e+08 -1.1161395576235610e+08 -8.9118520270496145e+07 -6.5298889022022784e+07 -4.0877754108262740e+07 -1.6638873807798395e+07 6.6767849886297286e+06 2.8464293959514227e+07 4.8299755329384401e+07 6.5981085419319347e+07 8.1450266513809428e+07 9.4805622720620513e+07 1.0619039783272755e+08 1.1582685998879977e+08 1.2390833362549494e+08 1.3062451642767982e+08 1.3616862748767069e+08 1.4067434686420965e+08 1.4426741406913677e+08 1.4707256945790437e+08 1.4916573866080341e+08 1.5066613763221669e+08 1.5165932784812030e+08 1.5225066879387742e+08 1.5253513139316440e+08 1.5258518315585369e+08 1.5249917837559664e+08 1.5234291764033043e+08 1.5213924160471755e+08 1.5197693576409379e+08 1.5180710947047365e+08 1.5163126622654295e+08 1.5144612506719843e+08 1.5125484115294734e+08 1.5104815513057029e+08 1.5085283702912450e+08 1.5062268312316102e+08 1.5037644270492581e+08 1.5010960326920649e+08 1.4981864156668508e+08 1.4949927541381708e+08 1.4914668151506531e+08 1.4874998045146194e+08 1.4832962061035413e+08 1.4784185275614086e+08 1.4729510404933757e+08 1.4668145656031612e+08 1.4599238813701898e+08 1.4521911153878853e+08 1.4435281148317063e+08 1.4337993409929559e+08 1.4232070943634388e+08 1.4112997655106214e+08 1.3982316948122722e+08 1.3840330838518178e+08 1.3688152587215161e+08 1.3527675982952756e+08 1.3362505340769199e+08 1.3197654313224533e+08 1.3043644923172143e+08 1.2909091665958446e+08 1.2812337321713723e+08 1.2777138958135669e+08 1.2839192954198912e+08 1.3049299405931558e+08 1.3484510213185918e+08 1.4266558125420755e+08 1.5603845355215099e+08 3.8404066783807367e+08 +2.7977992664221691e+00 -2.3998411765653238e+08 -2.3994117289008570e+08 -2.3987153961221293e+08 -2.3978191301895002e+08 -2.3969422777123874e+08 -2.3964274441692457e+08 -2.3964261448098972e+08 -2.3966794951112518e+08 -2.3969250251059392e+08 -2.3971087709714919e+08 -2.3972600784379497e+08 -2.3973806504248893e+08 -2.3974608390078390e+08 -2.3974944697294652e+08 -2.3974774127631980e+08 -2.3974028402108422e+08 -2.3972629851810190e+08 -2.3970502580244774e+08 -2.3967558975094983e+08 -2.3963689441899619e+08 -2.3958760247688344e+08 -2.3952595807138076e+08 -2.3944876758846158e+08 -2.3935033552377814e+08 -2.3922859404058668e+08 -2.3908338657505789e+08 -2.3890963153111836e+08 -2.3870103069036388e+08 -2.3845072478501651e+08 -2.3815050458163372e+08 -2.3779036482472432e+08 -2.3735804718180737e+08 -2.3683848283748564e+08 -2.3621309061948526e+08 -2.3545891128560063e+08 -2.3454748512324876e+08 -2.3344349571842581e+08 -2.3210307965212482e+08 -2.3047182540296105e+08 -2.2848235820510387e+08 -2.2585027306069395e+08 -2.2258148670421183e+08 -2.1852018528047946e+08 -2.1347857765218008e+08 -2.0723594979727644e+08 -1.9954196504221764e+08 -1.9012692521600968e+08 -1.7872202560072055e+08 -1.6509217843933809e+08 -1.4908177888368392e+08 -1.3067905736084247e+08 -1.1003414627416971e+08 -8.7487035106590390e+07 -6.3630210385731630e+07 -3.9188184029560000e+07 -1.4944809308060108e+07 8.3604581053465381e+06 3.0125450685223252e+07 4.9929639728750452e+07 6.7574362748366401e+07 8.3004559747583896e+07 9.6320911314645171e+07 1.0766828950474912e+08 1.1727005573278686e+08 1.2532010532997060e+08 1.3200838489495087e+08 1.3752816528517443e+08 1.4201300649618793e+08 1.4558841310811862e+08 1.4837889925094587e+08 1.5046008647076201e+08 1.5195090232258162e+08 1.5293659112198815e+08 1.5352220237548110e+08 1.5380231482344908e+08 1.5384902688601524e+08 1.5376037827399462e+08 1.5360189404797414e+08 1.5339618014674792e+08 1.5323245170690805e+08 1.5306119535250750e+08 1.5288389568973744e+08 1.5269723010883725e+08 1.5250437391156402e+08 1.5229602578933820e+08 1.5209899440019482e+08 1.5186694825281870e+08 1.5161868266481242e+08 1.5134964784741300e+08 1.5105629143729261e+08 1.5073429587273255e+08 1.5037879800359240e+08 1.4997886459909496e+08 1.4955493395675087e+08 1.4906314554212052e+08 1.4851188896374562e+08 1.4789318086662677e+08 1.4719842869132188e+08 1.4641877258784848e+08 1.4554532444387615e+08 1.4456445316459355e+08 1.4349638368843469e+08 1.4229582277385727e+08 1.4097822864882165e+08 1.3954664642465550e+08 1.3801230064729780e+08 1.3639428563606253e+08 1.3472894229894680e+08 1.3306685330012000e+08 1.3151394993632758e+08 1.3015731000000773e+08 1.2918178157029213e+08 1.2882692895056309e+08 1.2945260321250568e+08 1.3157101674832591e+08 1.3595906989044070e+08 1.4384419398434734e+08 1.5732740882325664e+08 3.8405622492737019e+08 +2.8027675891964274e+00 -2.3928276639694229e+08 -2.3923995343891263e+08 -2.3917053377828547e+08 -2.3908117179571444e+08 -2.3899372084137318e+08 -2.3894232736175227e+08 -2.3894209369048277e+08 -2.3896721709249508e+08 -2.3899153258383954e+08 -2.3900965446024317e+08 -2.3902450050745451e+08 -2.3903623320110688e+08 -2.3904388227615505e+08 -2.3904682200861448e+08 -2.3904462893410635e+08 -2.3903660859473935e+08 -2.3902197004260853e+08 -2.3899993653895086e+08 -2.3896961095414659e+08 -2.3892987278215274e+08 -2.3887935599527416e+08 -2.3881627116208917e+08 -2.3873738336611757e+08 -2.3863692768629122e+08 -2.3851273068739605e+08 -2.3836457024727595e+08 -2.3818732178050008e+08 -2.3797461022892797e+08 -2.3771947316201779e+08 -2.3741357948151079e+08 -2.3704678268734473e+08 -2.3660666138480100e+08 -2.3607795919835332e+08 -2.3544188002325973e+08 -2.3467521953218663e+08 -2.3374924035501060e+08 -2.3262831402811161e+08 -2.3126823018627730e+08 -2.2961419691539249e+08 -2.2759843052747625e+08 -2.2493367521941519e+08 -2.2162712871456048e+08 -2.1752248250212663e+08 -2.1243154875821108e+08 -2.0613340236915758e+08 -1.9837779953683266e+08 -1.8889558587035722e+08 -1.7741911268762931e+08 -1.6371520113470945e+08 -1.4763098232068422e+08 -1.2915816768180482e+08 -1.0845078602461748e+08 -8.5852615794658408e+07 -6.1959246346497670e+07 -3.7496976579515584e+07 -1.3249722085202456e+07 1.0044599307552500e+07 3.1786597568650592e+07 5.1559119013419263e+07 6.9166919072357923e+07 8.4557886505135149e+07 9.7835046535374120e+07 1.0914488766281226e+08 1.1871185371531785e+08 1.2673040217588666e+08 1.3339072168336166e+08 1.3888612952554452e+08 1.4335006191612411e+08 1.4690778576938316e+08 1.4968358689029786e+08 1.5175278143726075e+08 1.5323400730377740e+08 1.5421219082571518e+08 1.5479207073129874e+08 1.5506783298621202e+08 1.5511120651497507e+08 1.5501991589338651e+08 1.5485921031392947e+08 1.5465146093179545e+08 1.5448631169755858e+08 1.5431362714405495e+08 1.5413487297932693e+08 1.5394668499055001e+08 1.5375225858968925e+08 1.5354225059353861e+08 1.5334350810252303e+08 1.5310957221602792e+08 1.5285928413602036e+08 1.5258805683929607e+08 1.5229230888653454e+08 1.5196768738498589e+08 1.5160928938196731e+08 1.5120612793318674e+08 1.5077863112631598e+08 1.5028282746087947e+08 1.4972706896286583e+08 1.4910330693867525e+08 1.4840287851449206e+08 1.4761685132631952e+08 1.4673626452797416e+08 1.4574740992871767e+08 1.4467050723487544e+08 1.4346013126021889e+08 1.4213176431397846e+08 1.4068847642731544e+08 1.3914158396212649e+08 1.3751033746302661e+08 1.3583137520290369e+08 1.3415572541992325e+08 1.3259002942375392e+08 1.3122229677948885e+08 1.3023879390035890e+08 1.2988107610938860e+08 1.3051187790663803e+08 1.3264761757214196e+08 1.3707156836731219e+08 1.4502125219789350e+08 1.5861466393995881e+08 3.8406880440611875e+08 +2.8077359119706857e+00 -2.3857547706275231e+08 -2.3853279364092731e+08 -2.3846359023683411e+08 -2.3837449114956021e+08 -2.3828727809132537e+08 -2.3823597453468019e+08 -2.3823563696596998e+08 -2.3826054844202229e+08 -2.3828462592005703e+08 -2.3830249468716234e+08 -2.3831705559957278e+08 -2.3832846330504960e+08 -2.3833574209107751e+08 -2.3833825793699181e+08 -2.3833557688140643e+08 -2.3832699279135603e+08 -2.3831170044755831e+08 -2.3828890531886917e+08 -2.3825768925184923e+08 -2.3821690715389821e+08 -2.3816516427425510e+08 -2.3810063757581744e+08 -2.3802005081119719e+08 -2.3791756959736288e+08 -2.3779091479667774e+08 -2.3763979866947430e+08 -2.3745905364277801e+08 -2.3724222779619524e+08 -2.3698225550146732e+08 -2.3667068376587701e+08 -2.3629722483003607e+08 -2.3584929425013456e+08 -2.3531144814306748e+08 -2.3466467558426896e+08 -2.3388552736279696e+08 -2.3294498877828789e+08 -2.3180711982200122e+08 -2.3042736393075183e+08 -2.2875054987721670e+08 -2.2670848657269311e+08 -2.2401107045665562e+08 -2.2066678382864851e+08 -2.1651882835285071e+08 -2.1137862587082270e+08 -2.0502504826169905e+08 -1.9720795446621424e+08 -1.8765874523530191e+08 -1.7611093996137986e+08 -1.6233327984212863e+08 -1.4617563981817913e+08 -1.2763321387258512e+08 -1.0686391987759212e+08 -8.4215307582927898e+07 -6.0286041731007673e+07 -3.5804175387941077e+07 -1.1553653932662191e+07 1.1729169072402457e+07 3.3447697564067036e+07 5.3188158618449323e+07 7.0758722160729662e+07 8.6110216655072719e+07 9.9348000077797279e+07 1.1062016555514902e+08 1.2015222848515522e+08 1.2813919978940779e+08 1.3477150330589166e+08 1.4024249744586170e+08 1.4468549094910631e+08 1.4822551035167441e+08 1.5098661105226257e+08 1.5304380253319061e+08 1.5451543177732342e+08 1.5548610633296743e+08 1.5606025336145401e+08 1.5633166547251856e+08 1.5637170169986069e+08 1.5627777093946677e+08 1.5611484618263617e+08 1.5590506373763713e+08 1.5573849553722200e+08 1.5556438466966623e+08 1.5538417794290590e+08 1.5519446958481920e+08 1.5499847508510408e+08 1.5478680946753553e+08 1.5458635808795089e+08 1.5435053499524924e+08 1.5409822713357681e+08 1.5382481029495472e+08 1.5352667400325200e+08 1.5319943008153024e+08 1.5283813582801911e+08 1.5243175068340385e+08 1.5200069240637323e+08 1.5150087886415896e+08 1.5094062447127378e+08 1.5031181528260449e+08 1.4960571820370060e+08 1.4881332845380595e+08 1.4792561255037236e+08 1.4692878533502787e+08 1.4584306116169110e+08 1.4462288325397298e+08 1.4328375789392969e+08 1.4182877999923819e+08 1.4026935762481698e+08 1.3862489733184502e+08 1.3693233436025187e+08 1.3524314195092678e+08 1.3366467035929619e+08 1.3228585984203973e+08 1.3129439317970078e+08 1.3093381407651590e+08 1.3156973656026377e+08 1.3372277918757910e+08 1.3818257964111936e+08 1.4619673693308714e+08 1.5990019816586858e+08 3.8407841518574053e+08 +2.8127042347449440e+00 -2.3786226625383511e+08 -2.3781971701063031e+08 -2.3775072530154845e+08 -2.3766189202786145e+08 -2.3757491603989506e+08 -2.3752370303649223e+08 -2.3752326139915860e+08 -2.3754796065773267e+08 -2.3757179965144217e+08 -2.3758941490953469e+08 -2.3760369025743398e+08 -2.3761477250521249e+08 -2.3762168050545898e+08 -2.3762377193121934e+08 -2.3762060230578271e+08 -2.3761145381634632e+08 -2.3759550695978788e+08 -2.3757194939359397e+08 -2.3753984192391852e+08 -2.3749801484911695e+08 -2.3744504466908416e+08 -2.3737907471608657e+08 -2.3729678738465416e+08 -2.3719227878619090e+08 -2.3706316398107454e+08 -2.3690908955404720e+08 -2.3672484494884381e+08 -2.3650390136278036e+08 -2.3623908993811986e+08 -2.3592183576263213e+08 -2.3554170980860233e+08 -2.3508596460050300e+08 -2.3453896880698097e+08 -2.3388149680502748e+08 -2.3308985470941168e+08 -2.3213475082748616e+08 -2.3097993412040102e+08 -2.2958050258839819e+08 -2.2788090678303653e+08 -2.2581254975290060e+08 -2.2308248332607231e+08 -2.1970047792199627e+08 -2.1550925022492364e+08 -2.1031983810481194e+08 -2.0391091851702151e+08 -1.9603246298625392e+08 -1.8641643872364056e+08 -1.7479754515924013e+08 -1.6094645457211441e+08 -1.4471579345194784e+08 -1.2610423967931493e+08 -1.0527359266681103e+08 -8.2575155660136476e+07 -5.8610641279078297e+07 -3.4109823975272208e+07 -9.8566465174905267e+06 1.3414128014328994e+07 3.5108713768547408e+07 5.4816724122866549e+07 7.2349739925242901e+07 8.7661520204789892e+07 1.0085974377145748e+08 1.1209409656022874e+08 1.2159115471720649e+08 1.2954647391954823e+08 1.3615070639463550e+08 1.4159724640012237e+08 1.4601927153473011e+08 1.4954156526652911e+08 1.5228795052445281e+08 1.5433312884138334e+08 1.5579515505373231e+08 1.5675831712618351e+08 1.5732672987397230e+08 1.5759379198124176e+08 1.5763049220486218e+08 1.5753392322483280e+08 1.5736878150502300e+08 1.5715696844907352e+08 1.5698898313375488e+08 1.5681344785996771e+08 1.5663179053464800e+08 1.5644056386998355e+08 1.5624300340145361e+08 1.5602968244132549e+08 1.5582752441425201e+08 1.5558981667850566e+08 1.5533549177796298e+08 1.5505988837008372e+08 1.5475936698131528e+08 1.5442950419839168e+08 1.5406531762422100e+08 1.5365571318369323e+08 1.5322109818833959e+08 1.5271728020758432e+08 1.5215253601673195e+08 1.5151868650697294e+08 1.5080692845864797e+08 1.5000818477239373e+08 1.4911334942720965e+08 1.4810856042770407e+08 1.4701402665472329e+08 1.4578406009833640e+08 1.4443419090444651e+08 1.4296753884370852e+08 1.4139560353948608e+08 1.3973794735855815e+08 1.3803180210558173e+08 1.3632908544454333e+08 1.3473785549994603e+08 1.3334798212211405e+08 1.3234856247059670e+08 1.3198512595990960e+08 1.3262616219927694e+08 1.3479648434314024e+08 1.3929208588505843e+08 1.4737062932864425e+08 1.6118399087392294e+08 3.8408506620201266e+08 +2.8176725575192023e+00 -2.3714315086984476e+08 -2.3710073435656086e+08 -2.3703195715271634e+08 -2.3694339111415267e+08 -2.3685665224862924e+08 -2.3680553019583470e+08 -2.3680498426808184e+08 -2.3682947098054370e+08 -2.3685307106112316e+08 -2.3687043240902191e+08 -2.3688442176803640e+08 -2.3689517810325438e+08 -2.3690171483079478e+08 -2.3690338131512940e+08 -2.3689972254598022e+08 -2.3689000902628925e+08 -2.3687340695595568e+08 -2.3684908616487572e+08 -2.3681608640186644e+08 -2.3677321333355227e+08 -2.3671901468632585e+08 -2.3665160013752881e+08 -2.3656761069799939e+08 -2.3646107293286717e+08 -2.3632949600381416e+08 -2.3617246076428294e+08 -2.3598471368037444e+08 -2.3575964905008137e+08 -2.3548999475740629e+08 -2.3516705395035627e+08 -2.3478025632858402e+08 -2.3431669140816033e+08 -2.3376054047545201e+08 -2.3309236333703414e+08 -2.3228822165295371e+08 -2.3131854708505040e+08 -2.3014677809127015e+08 -2.2872766800810802e+08 -2.2700529027308732e+08 -2.2491064362288553e+08 -2.2214793852183887e+08 -2.1872823700660196e+08 -2.1449377564281628e+08 -2.0925521470028219e+08 -2.0279104429350066e+08 -1.9485135835801673e+08 -1.8516870183921990e+08 -1.7347896609129417e+08 -1.5955476538683096e+08 -1.4325148532394367e+08 -1.2457128884635410e+08 -1.0367984919451059e+08 -8.0932205153820351e+07 -5.6933089642453201e+07 -3.2413965751374282e+07 -8.1587413795253616e+06 1.5099436885774398e+07 3.6769609422476999e+07 5.6444781250219338e+07 7.3939940420311511e+07 8.9211767300805390e+07 1.0237024958089474e+08 1.1356665418733129e+08 1.2302860721301545e+08 1.3095220043811551e+08 1.3752830770152932e+08 1.4295035385914990e+08 1.4735138172754937e+08 1.5085592903894120e+08 1.5358758420626879e+08 1.5562073955546644e+08 1.5707315655347294e+08 1.5802880279653800e+08 1.5859147998522758e+08 1.5885419231951332e+08 1.5888755790177834e+08 1.5878835266955426e+08 1.5862099623944354e+08 1.5840715505826026e+08 1.5823775450199422e+08 1.5806079675271741e+08 1.5787769081553337e+08 1.5768494793130189e+08 1.5748582364885789e+08 1.5727084965158656e+08 1.5706698724552482e+08 1.5682739745995599e+08 1.5657105829550600e+08 1.5629327132589877e+08 1.5599036812001893e+08 1.5565789007657316e+08 1.5529081515794215e+08 1.5487799587293780e+08 1.5443982896795422e+08 1.5393201205123386e+08 1.5336278423064756e+08 1.5272390132388267e+08 1.5200649008189520e+08 1.5120140118591419e+08 1.5029945617633355e+08 1.4928671635155529e+08 1.4818338499968591e+08 1.4694364323553878e+08 1.4558304495947197e+08 1.4410473476104417e+08 1.4252030370682147e+08 1.4084946975467339e+08 1.3912976086732653e+08 1.3741353854555687e+08 1.3580956769405293e+08 1.3440864664524269e+08 1.3340128492550519e+08 1.3303499495777757e+08 1.3368113794015640e+08 1.3586871587882689e+08 1.4040006936717930e+08 1.4854291062347001e+08 1.6246602154706877e+08 3.8408876641467965e+08 +2.8226408802934606e+00 -2.3641815067560977e+08 -2.3637586282501227e+08 -2.3630730395410442e+08 -2.3621900580500746e+08 -2.3613250413471153e+08 -2.3608147342933443e+08 -2.3608082304586864e+08 -2.3610509680653855e+08 -2.3612845758331841e+08 -2.3614556461558208e+08 -2.3615926756846201e+08 -2.3616969755114451e+08 -2.3617586252806413e+08 -2.3617710356194788e+08 -2.3617295509031004e+08 -2.3616267592743737e+08 -2.3614541796350214e+08 -2.3612033318515399e+08 -2.3608644026675785e+08 -2.3604252022256029e+08 -2.3598709198254183e+08 -2.3591823154463634e+08 -2.3583253851268914e+08 -2.3572396986738425e+08 -2.3558992877817786e+08 -2.3542993031308851e+08 -2.3523867796858469e+08 -2.3500948912856969e+08 -2.3473498839411688e+08 -2.3440635695717889e+08 -2.3401288324473348e+08 -2.3354149379454821e+08 -2.3297618258235109e+08 -2.3229729498109382e+08 -2.3148064842266712e+08 -2.3049639828094956e+08 -2.2930767304846773e+08 -2.2786888218400955e+08 -2.2612372313092968e+08 -2.2400279187992671e+08 -2.2120746087713987e+08 -2.1775008723007497e+08 -2.1347243226095048e+08 -2.0818478502093467e+08 -2.0166545686445728e+08 -1.9366467394607580e+08 -1.8391557017567366e+08 -1.7215524063937002e+08 -1.5815825239844415e+08 -1.4178275756057376e+08 -1.2303440511413562e+08 -1.0208273422941318e+08 -7.9286501128867015e+07 -5.5253431383657381e+07 -3.0716644014637582e+07 -6.4599799305339679e+06 1.6785056577746097e+07 3.8430347910087079e+07 5.8072295868622720e+07 7.5529291843177810e+07 9.0760928229012415e+07 1.0387948960562211e+08 1.1503781207627404e+08 1.2446456090065362e+08 1.3235635533978198e+08 1.3890428409806067e+08 1.4430179741108704e+08 1.4868179969695190e+08 1.5216858030634511e+08 1.5488549110852796e+08 1.5690661397924390e+08 1.5834941580646160e+08 1.5929754304402345e+08 1.5985448352017826e+08 1.6011284640185612e+08 1.6014287877034709e+08 1.6004103930124524e+08 1.5987147045147091e+08 1.5965560366392401e+08 1.5948478976359898e+08 1.5930641149244577e+08 1.5912185895289290e+08 1.5892760196033284e+08 1.5872691604388443e+08 1.5851029134105787e+08 1.5830472685178965e+08 1.5806325763969418e+08 1.5780490701817492e+08 1.5752493952917895e+08 1.5721965782429740e+08 1.5688456816277975e+08 1.5651460892149389e+08 1.5609857929463616e+08 1.5565686534523040e+08 1.5514505505866015e+08 1.5457134984829932e+08 1.5392744054855022e+08 1.5320438397864485e+08 1.5239295870060226e+08 1.5148391391711429e+08 1.5046323435256934e+08 1.4935111758269837e+08 1.4810161420723546e+08 1.4673030177161485e+08 1.4524034964962763e+08 1.4364344022357613e+08 1.4195944682683161e+08 1.4022619316799611e+08 1.3849648399136946e+08 1.3687978988226795e+08 1.3546783652769637e+08 1.3445254378727612e+08 1.3408340435813804e+08 1.3473464698960143e+08 1.3693945672683668e+08 1.4150651245051265e+08 1.4971356215705165e+08 1.6374626977765444e+08 3.8408952480707300e+08 +2.8276092030677189e+00 -2.3568727559049219e+08 -2.3564512569326785e+08 -2.3557678282279214e+08 -2.3548875215741283e+08 -2.3540248902277848e+08 -2.3535155039248729e+08 -2.3535079535459992e+08 -2.3537485569225532e+08 -2.3539797679888541e+08 -2.3541482910735816e+08 -2.3542824524435994e+08 -2.3543834844923821e+08 -2.3544414120680276e+08 -2.3544495629438215e+08 -2.3544031757601789e+08 -2.3542947217494357e+08 -2.3541155765794635e+08 -2.3538570815497029e+08 -2.3535092124855003e+08 -2.3530595328053796e+08 -2.3524929436240566e+08 -2.3517898679050595e+08 -2.3509158873915347e+08 -2.3498098756818092e+08 -2.3484448036537039e+08 -2.3468151636217824e+08 -2.3448675609332356e+08 -2.3425344001721889e+08 -2.3397408943130338e+08 -2.3363976355899632e+08 -2.3323960955996966e+08 -2.3276039102845871e+08 -2.3218591470911410e+08 -2.3149631168398520e+08 -2.3066715539369869e+08 -2.2966832529114985e+08 -2.2846264045158893e+08 -2.2700416725453535e+08 -2.2523622828269175e+08 -2.2308901836142573e+08 -2.2026107536323792e+08 -2.1676605487331980e+08 -2.1244524786264658e+08 -2.0710857855285653e+08 -2.0053418761719170e+08 -1.9247244321742460e+08 -1.8265707941425213e+08 -1.7082640675500026e+08 -1.5675695576682031e+08 -1.4030965231138009e+08 -1.2149363221803454e+08 -1.0048229250538407e+08 -7.7638088586151138e+07 -5.3571710974552199e+07 -2.9017901950869270e+07 -4.7604034533852264e+06 1.8470948120561417e+07 4.0090892759799063e+07 5.9699233991554916e+07 7.7117762534337744e+07 9.2308973414753959e+07 1.0538743608043084e+08 1.1650754399769327e+08 1.2589899083488017e+08 1.3375891474241260e+08 1.4027861257576978e+08 1.4565155476119205e+08 1.5001050372738391e+08 1.5347949781988803e+08 1.5618165035397339e+08 1.5819073152732196e+08 1.5962391245212406e+08 1.6056451767784002e+08 1.6111572041203636e+08 1.6136973425144809e+08 1.6139643489790064e+08 1.6129196325491801e+08 1.6112018431426179e+08 1.6090229447223410e+08 1.6073006914752737e+08 1.6055027233059999e+08 1.6036427522145310e+08 1.6016850625569418e+08 1.5996626090968210e+08 1.5974798785908544e+08 1.5954072360941875e+08 1.5929737762372467e+08 1.5903701838412619e+08 1.5875487345270184e+08 1.5844721660405609e+08 1.5810951900842008e+08 1.5773667951227158e+08 1.5731744409682935e+08 1.5687218802504945e+08 1.5635638999787617e+08 1.5577821370861948e+08 1.5512928509960449e+08 1.5440059115693864e+08 1.5358283842518547e+08 1.5266670387057799e+08 1.5163809577749953e+08 1.5051720589026105e+08 1.4925795465473160e+08 1.4787594315161851e+08 1.4637436550461820e+08 1.4476499528317869e+08 1.4306786097691175e+08 1.4132108162424970e+08 1.3957790461230320e+08 1.3794850509672132e+08 1.3652553497651714e+08 1.3550232238869089e+08 1.3513033753902903e+08 1.3578667264471889e+08 1.3800868991114217e+08 1.4261139759291103e+08 1.5088256536914536e+08 1.6502471526865837e+08 3.8408735038572627e+08 +2.8325775258419772e+00 -2.3495055232849762e+08 -2.3490853471435574e+08 -2.3484041020270073e+08 -2.3475264779632542e+08 -2.3466662455423489e+08 -2.3461577878145957e+08 -2.3461491891689882e+08 -2.3463876535091326e+08 -2.3466164643487099e+08 -2.3467824360986581e+08 -2.3469137253016496e+08 -2.3470114854596451e+08 -2.3470656862454569e+08 -2.3470695728199181e+08 -2.3470182778785256e+08 -2.3469041557143456e+08 -2.3467184386308822e+08 -2.3464522892279920e+08 -2.3460954722453031e+08 -2.3456353041969833e+08 -2.3450563977863735e+08 -2.3443388387603569e+08 -2.3434477943481857e+08 -2.3423214416141558e+08 -2.3409316897497731e+08 -2.3392723722024214e+08 -2.3372896648154661e+08 -2.3349152028267550e+08 -2.3320731659960747e+08 -2.3286729267900917e+08 -2.3246045442366537e+08 -2.3197340252574342e+08 -2.3138975658321807e+08 -2.3068943353920302e+08 -2.2984776308706272e+08 -2.2883434913569915e+08 -2.2761170190361071e+08 -2.2613354550043082e+08 -2.2434282879579666e+08 -2.2216934704388466e+08 -2.1930880708654237e+08 -2.1577616635022727e+08 -2.1141225035863012e+08 -2.0602662490248016e+08 -1.9939726805015594e+08 -1.9127469973912951e+08 -1.8139326532201621e+08 -1.6949250245778415e+08 -1.5535091569822872e+08 -1.3883221174665621e+08 -1.1994901388615425e+08 -9.8878568719832301e+07 -7.5987012461068019e+07 -5.1887972795233175e+07 -2.7317782632229328e+07 -3.0600531012491868e+06 2.0157072684387434e+07 4.1751207644947357e+07 6.1325561777835444e+07 7.8705320977629289e+07 9.3855873423370734e+07 1.0689406137558639e+08 1.1797582385327701e+08 1.2733187219737238e+08 1.3515985488693571e+08 1.4165127024633309e+08 1.4699960373203677e+08 1.5133747221836692e+08 1.5478866044402567e+08 1.5747604117704085e+08 1.5947307172494650e+08 1.6089662623996809e+08 1.6182970661612111e+08 1.6237517070290485e+08 1.6262483599941039e+08 1.6264820647985011e+08 1.6254110477342924e+08 1.6236711810820431e+08 1.6214720779681432e+08 1.6197357298973364e+08 1.6179235962555954e+08 1.6160492000227666e+08 1.6140764122253865e+08 1.6120383867625076e+08 1.6098391966143388e+08 1.6077495800137013e+08 1.6052973792476207e+08 1.6026737293750906e+08 1.5998305367480916e+08 1.5967302507579133e+08 1.5933272327081558e+08 1.5895700763290393e+08 1.5853457103276888e+08 1.5808577781654066e+08 1.5756599774112079e+08 1.5698335675425348e+08 1.5632941599917513e+08 1.5559509272799250e+08 1.5477102157036436e+08 1.5384780735967407e+08 1.5281128207443690e+08 1.5168163150892776e+08 1.5041264631813473e+08 1.4901995100910226e+08 1.4750676441925988e+08 1.4588495117543036e+08 1.4417469470240375e+08 1.4241440894713670e+08 1.4065778333199394e+08 1.3901569646183857e+08 1.3758172529014641e+08 1.3655060415315786e+08 1.3617577796856529e+08 1.3683719829330340e+08 1.3907639854768214e+08 1.4371470734759998e+08 1.5204990180039313e+08 1.6630133783248332e+08 3.8408225217999578e+08 +2.8375458486162355e+00 -2.3420799709727779e+08 -2.3416611236594683e+08 -2.3409820525384623e+08 -2.3401071352303427e+08 -2.3392492927118909e+08 -2.3387417622062039e+08 -2.3387321156423819e+08 -2.3389684364653081e+08 -2.3391948436173317e+08 -2.3393582599577713e+08 -2.3394866730732417e+08 -2.3395811573567310e+08 -2.3396316268557835e+08 -2.3396312444164023e+08 -2.3395750365692860e+08 -2.3394552406651556e+08 -2.3392629454933137e+08 -2.3389891348396605e+08 -2.3386233621913999e+08 -2.3381526969827804e+08 -2.3375614633075616e+08 -2.3368294094860145e+08 -2.3359212880400234e+08 -2.3347745791969684e+08 -2.3333601296256351e+08 -2.3316711134292960e+08 -2.3296532770697993e+08 -2.3272374863752097e+08 -2.3243468877502918e+08 -2.3208896338640085e+08 -2.3167543713170466e+08 -2.3118054784781155e+08 -2.3058772807755941e+08 -2.2987668078464359e+08 -2.2902249216786191e+08 -2.2799449097898754e+08 -2.2675487914992601e+08 -2.2525703934394082e+08 -2.2344354787721747e+08 -2.2124380204157200e+08 -2.1835068128971997e+08 -2.1478044820554128e+08 -2.1037346778567195e+08 -2.0493895379564765e+08 -1.9825472977207497e+08 -1.9007147717714518e+08 -1.8012416375000742e+08 -1.6815356583299068e+08 -1.5394017244324729e+08 -1.3735047805584836e+08 -1.1840059383797577e+08 -9.7271607531903639e+07 -7.4333317622112185e+07 -5.0202261132709242e+07 -2.5616329016256969e+07 -1.3589698967787055e+06 2.1843391579906426e+07 4.3411256383925125e+07 6.2951245532275669e+07 8.0291935800670013e+07 9.5401598959960535e+07 1.0839933799697837e+08 1.1944262567592999e+08 1.2876318029691844e+08 1.3655915213774675e+08 1.4302223434137061e+08 1.4834592226376951e+08 1.5266268368468609e+08 1.5609604715635869e+08 1.5876864292458850e+08 1.6075361420810655e+08 1.6216753702931926e+08 1.6309308988638571e+08 1.6363281454318762e+08 1.6387813188509735e+08 1.6389817381939381e+08 1.6378844420754537e+08 1.6361225222129232e+08 1.6339032405848646e+08 1.6321528173359030e+08 1.6303265384314176e+08 1.6284377378398854e+08 1.6264498737301418e+08 1.6243962987993497e+08 1.6221806731042355e+08 1.6200741061685073e+08 1.6176031916139248e+08 1.6149595132861653e+08 1.6120946088016918e+08 1.6089706396091214e+08 1.6055416171256942e+08 1.6017557409134611e+08 1.5974994096061832e+08 1.5929761563370568e+08 1.5877385926500407e+08 1.5818676003215626e+08 1.5752781437267879e+08 1.5678786990564829e+08 1.5595748944968921e+08 1.5502720580915615e+08 1.5398277479262453e+08 1.5284437612591183e+08 1.5156567103818861e+08 1.5016230735233843e+08 1.4863752858445472e+08 1.4700329028697732e+08 1.4527993059605762e+08 1.4350615794172874e+08 1.4173610316697440e+08 1.4008134719382447e+08 1.3863639085787299e+08 1.3759737259431773e+08 1.3721970920509911e+08 1.3788620741368505e+08 1.4014256584469867e+08 1.4481642436255735e+08 1.5321555309209940e+08 1.6757611739168903e+08 3.8407423924168265e+08 +2.8425141713904938e+00 -2.3345962540494666e+08 -2.3341787480225080e+08 -2.3335018458694407e+08 -2.3326296326138526e+08 -2.3317742067274916e+08 -2.3312676057252192e+08 -2.3312569128097767e+08 -2.3314910858917826e+08 -2.3317150859172910e+08 -2.3318759428449890e+08 -2.3320014760447016e+08 -2.3320926805756262e+08 -2.3321394143934295e+08 -2.3321347583511335e+08 -2.3320736326072800e+08 -2.3319481575503328e+08 -2.3317492783212909e+08 -2.3314677997876978e+08 -2.3310930640186256e+08 -2.3306118932071981e+08 -2.3300083226336068e+08 -2.3292617630090189e+08 -2.3283365519649068e+08 -2.3271694726108557e+08 -2.3257303082899478e+08 -2.3240115733089057e+08 -2.3219585848805866e+08 -2.3195014393948799e+08 -2.3165622497927970e+08 -2.3130479489471230e+08 -2.3088457712394568e+08 -2.3038184669972998e+08 -2.2977984920930704e+08 -2.2905807380184236e+08 -2.2819136344418219e+08 -2.2714877212710622e+08 -2.2589219407786760e+08 -2.2437467134753835e+08 -2.2253840887264067e+08 -2.2031240760531700e+08 -2.1738672334770459e+08 -2.1377892711318624e+08 -2.0932892830427894e+08 -2.0384559507491457e+08 -1.9710660450021407e+08 -1.8886280929460475e+08 -1.7884981063177493e+08 -1.6680963503067380e+08 -1.5252476629518536e+08 -1.3586449344575489e+08 -1.1684841578232972e+08 -9.5661453561040401e+07 -7.2677048869254634e+07 -4.8514620179703161e+07 -2.3913583944916666e+07 3.4280526869530854e+05 2.3529866258932911e+07 4.5071002940917052e+07 6.4576251705771640e+07 8.1877575774987102e+07 9.6946120869995400e+07 1.0990323858619033e+08 1.2090792362978445e+08 1.3019289056919059e+08 1.3795678298252308e+08 1.4439148221283504e+08 1.4969048841392857e+08 1.5398611675660220e+08 1.5740163704839697e+08 1.6005943505484650e+08 1.6203233872394738e+08 1.6343662478941008e+08 1.6435464762522456e+08 1.6488863219229543e+08 1.6512960225642642e+08 1.6514631732810950e+08 1.6503396201526681e+08 1.6485556714924347e+08 1.6463162378562167e+08 1.6445517592967618e+08 1.6427113555616471e+08 1.6408081716200501e+08 1.6388052532615247e+08 1.6367361516443208e+08 1.6345041147532338e+08 1.6323806215174845e+08 1.6298910205861899e+08 1.6272273431385690e+08 1.6243407585896164e+08 1.6211931408715084e+08 1.6177381520189717e+08 1.6139235980081934e+08 1.6096353484369785e+08 1.6050768249520770e+08 1.5997995565039688e+08 1.5938840469304302e+08 1.5872446144938073e+08 1.5797890400742364e+08 1.5714222347922295e+08 1.5620488074575618e+08 1.5515255558253875e+08 1.5400542152895012e+08 1.5271701075452796e+08 1.5130299428833044e+08 1.4976664028856078e+08 1.4811999510071859e+08 1.4638355134629479e+08 1.4459631150781405e+08 1.4281284722735733e+08 1.4114544060135490e+08 1.3968951516014147e+08 1.3864261131632176e+08 1.3826211489735931e+08 1.3893368357498497e+08 1.4120717510241964e+08 1.4591653138156432e+08 1.5437950098619217e+08 1.6884903397975349e+08 3.8406332064465570e+08 +2.8474824941647521e+00 -2.3270545566271985e+08 -2.3266384143931702e+08 -2.3259636679327643e+08 -2.3250941731939593e+08 -2.3242411736102459e+08 -2.3237355006648576e+08 -2.3237237622547537e+08 -2.3239557833383369e+08 -2.3241773727823961e+08 -2.3243356664186546e+08 -2.3244583159626150e+08 -2.3245462369517642e+08 -2.3245892308051053e+08 -2.3245802966886577e+08 -2.3245142482043436e+08 -2.3243830887648115e+08 -2.3241776197211429e+08 -2.3238884669256434e+08 -2.3235047608680728e+08 -2.3230130763557202e+08 -2.3223971596582055e+08 -2.3216360837059245e+08 -2.3206937710664460e+08 -2.3195063074796844e+08 -2.3180424121975785e+08 -2.3162939392904910e+08 -2.3142057768788001e+08 -2.3117072519019499e+08 -2.3087194437755367e+08 -2.3051480656177375e+08 -2.3008789398386279e+08 -2.2957731893059522e+08 -2.2896614013771525e+08 -2.2823363311467066e+08 -2.2735439786605147e+08 -2.2629721402746928e+08 -2.2502366871429849e+08 -2.2348646421250767e+08 -2.2162743526483136e+08 -2.1937518812067813e+08 -2.1641695876815289e+08 -2.1277162987551254e+08 -2.0827866019833794e+08 -2.0274657869937015e+08 -1.9595292405892369e+08 -1.8764872994904786e+08 -1.7757024198161882e+08 -1.6546074826312837e+08 -1.5110473758814114e+08 -1.3437430013907105e+08 -1.1529252341602565e+08 -9.4048151385568500e+07 -7.1018250932997689e+07 -4.6825094033671886e+07 -2.2209590143499296e+07 2.0452316359331897e+06 2.5216458314975686e+07 4.6730411426247358e+07 6.6200546895818755e+07 8.3462209816397503e+07 9.8489410139111474e+07 1.1140573592061657e+08 1.2237169201028484e+08 1.3162097857736069e+08 1.3935272403253376e+08 1.4575899133289534e+08 1.5103328035801598e+08 1.5530775017962766e+08 1.5870540932493076e+08 1.6134839713888386e+08 1.6330922513039452e+08 1.6470386959977347e+08 1.6561436007889637e+08 1.6614260401857996e+08 1.6637922756961960e+08 1.6639261752542335e+08 1.6627763876348108e+08 1.6609704349559811e+08 1.6587108761405912e+08 1.6569323623621610e+08 1.6550778544511983e+08 1.6531603083901870e+08 1.6511423580817884e+08 1.6490577528006780e+08 1.6468093293198314e+08 1.6446689340844420e+08 1.6421606744839278e+08 1.6394770275618213e+08 1.6365687950806823e+08 1.6333975638785437e+08 1.6299166471295181e+08 1.6260734577998766e+08 1.6217533375038317e+08 1.6171595952485767e+08 1.6118426808288407e+08 1.6058827199188137e+08 1.5991933856229386e+08 1.5916817645349407e+08 1.5832520517778546e+08 1.5738081379847658e+08 1.5632060619613600e+08 1.5516474960622579e+08 1.5386664750710207e+08 1.5244199402294961e+08 1.5089408191822761e+08 1.4923504819674689e+08 1.4748553973719519e+08 1.4568485263939092e+08 1.4388799871631986e+08 1.4220796008522683e+08 1.4074108176896477e+08 1.3968630401418355e+08 1.3930297878414351e+08 1.3997961043697840e+08 1.4227020971357387e+08 1.4701501124335408e+08 1.5554172732563129e+08 1.7012006773953101e+08 3.8404950548447651e+08 +2.8524508169390104e+00 -2.3194550645555788e+08 -2.3190402601946890e+08 -2.3183677359851494e+08 -2.3175009485104164e+08 -2.3166503774244756e+08 -2.3161456320042241e+08 -2.3161328470657474e+08 -2.3163627118151191e+08 -2.3165818871606258e+08 -2.3167376137937671e+08 -2.3168573760165045e+08 -2.3169420097453353e+08 -2.3169812594686079e+08 -2.3169680429337355e+08 -2.3168970670123270e+08 -2.3167602181373695e+08 -2.3165481537295565e+08 -2.3162513205387011e+08 -2.3158586373187709e+08 -2.3153564313487118e+08 -2.3147281597051471e+08 -2.3139525573792288e+08 -2.3129931317146236e+08 -2.3117852708594242e+08 -2.3102966292318758e+08 -2.3085184002527276e+08 -2.3063950431193936e+08 -2.3038551153459266e+08 -2.3008186627791268e+08 -2.2971901788780141e+08 -2.2928540743741658e+08 -2.2876698453098613e+08 -2.2814662116447672e+08 -2.2740337938844407e+08 -2.2651161652397847e+08 -2.2543983826728719e+08 -2.2414932522519046e+08 -2.2259244077729723e+08 -2.2071065067247018e+08 -2.1843216810748860e+08 -2.1544141318906033e+08 -2.1175858342112422e+08 -2.0722269187218270e+08 -2.0164193474209628e+08 -1.9479372037748823e+08 -1.8642927309275463e+08 -1.7628549389254043e+08 -1.6410694380379185e+08 -1.4968012669517449e+08 -1.3287994037230299e+08 -1.1373296042190702e+08 -9.2431745540888771e+07 -6.9356968472566441e+07 -4.5133726695133559e+07 -2.0504390219726924e+07 3.7482685785734109e+06 2.6903129483884003e+07 4.8389446096751831e+07 6.7824097846697390e+07 8.5045806985063687e+07 1.0003143789365384e+08 1.1290680291393447e+08 1.2383390524482000e+08 1.3304742001170336e+08 1.4074695202274933e+08 1.4712473929434651e+08 1.5237427638904494e+08 1.5662756281491962e+08 1.6000734330447644e+08 1.6263550885970888e+08 1.6458425339661321e+08 1.6596925164989665e+08 1.6687220760302785e+08 1.6739471049914053e+08 1.6762698838977748e+08 1.6763705503927550e+08 1.6751945512622142e+08 1.6733666197168002e+08 1.6710869628740484e+08 1.6692944341894296e+08 1.6674258429740784e+08 1.6654939562505522e+08 1.6634609965262920e+08 1.6613609108421490e+08 1.6590961256322408e+08 1.6569388529648042e+08 1.6544119626876155e+08 1.6517083762477401e+08 1.6487785283023810e+08 1.6455837190270340e+08 1.6420769132545263e+08 1.6382051315330571e+08 1.6338531885427874e+08 1.6292242795109591e+08 1.6238677785273445e+08 1.6178634328793174e+08 1.6111242714801279e+08 1.6035566876782066e+08 1.5950641616667709e+08 1.5855498669805977e+08 1.5748690848663157e+08 1.5632234234700349e+08 1.5501456343537271e+08 1.5357928886104664e+08 1.5201983595780024e+08 1.5034843225201169e+08 1.4858587864853749e+08 1.4677176442510879e+08 1.4496154093038183e+08 1.4326888913815629e+08 1.4179107434738576e+08 1.4072843447337702e+08 1.4034228469488251e+08 1.4102397175043660e+08 1.4333165316298512e+08 1.4811184688230446e+08 1.5670221405423841e+08 1.7138919892496169e+08 3.8403280287802774e+08 +2.8574191397132687e+00 -2.3117979746733448e+08 -2.3113845111631250e+08 -2.3107141934074327e+08 -2.3098501222607893e+08 -2.3090019967141348e+08 -2.3084981851553643e+08 -2.3084843515151417e+08 -2.3087120558038971e+08 -2.3089288134222406e+08 -2.3090819695311975e+08 -2.3091988408323950e+08 -2.3092801836331302e+08 -2.3093156851893181e+08 -2.3092981820077956e+08 -2.3092222741074821e+08 -2.3090797309242755e+08 -2.3088610658095214e+08 -2.3085565463347429e+08 -2.3081548793649349e+08 -2.3076421445279214e+08 -2.3070015095264587e+08 -2.3062113712604049e+08 -2.3052348217099211e+08 -2.3040065512274733e+08 -2.3024931486980942e+08 -2.3006851464967370e+08 -2.2985265750837266e+08 -2.2959452225866878e+08 -2.2928601012993509e+08 -2.2891744851402405e+08 -2.2847713735136664e+08 -2.2795086363276708e+08 -2.2732131273149568e+08 -2.2656733342814884e+08 -2.2566304064759287e+08 -2.2457666657222718e+08 -2.2326918591443655e+08 -2.2169262401717424e+08 -2.1978807884870920e+08 -2.1748337221718952e+08 -2.1446011237785843e+08 -2.1073981480428064e+08 -2.0616105185089290e+08 -2.0053169338881680e+08 -1.9362902548860076e+08 -1.8520447276908326e+08 -1.7499560253485569e+08 -1.6274825998465493e+08 -1.4825097402673557e+08 -1.3138145639409013e+08 -1.1216977046744794e+08 -9.0812280517969653e+07 -6.7693246074639469e+07 -4.3440562066949002e+07 -1.8798026662702151e+07 5.4518756038944982e+06 2.8589841644372012e+07 5.0048071356331810e+07 6.9446871449846536e+07 8.6628336485884845e+07 1.0157217540057576e+08 1.1440641261594890e+08 1.2529453789195253e+08 1.3447219069016567e+08 1.4213944381166172e+08 1.4848870381045344e+08 1.5371345491792569e+08 1.5794553363936698e+08 1.6130741841995987e+08 1.6392075001263675e+08 1.6585740360266063e+08 1.6723275123965368e+08 1.6812817066273162e+08 1.6864493222026584e+08 1.6887286539029422e+08 1.6887961060581607e+08 1.6875939188629428e+08 1.6857440339657521e+08 1.6834443065731081e+08 1.6816377835091040e+08 1.6797551300842893e+08 1.6778089243750936e+08 1.6757609779985473e+08 1.6736454354154485e+08 1.6713643135888633e+08 1.6691901883158475e+08 1.6666446956454223e+08 1.6639211999527234e+08 1.6609697693464699e+08 1.6577514177715936e+08 1.6542187622504902e+08 1.6503184315039134e+08 1.6459347143453088e+08 1.6412706910747445e+08 1.6358746635474554e+08 1.6298260004465178e+08 1.6230370874729750e+08 1.6154136257749265e+08 1.6068583817030495e+08 1.5972738127787563e+08 1.5865144440914831e+08 1.5747818184098989e+08 1.5616074077884576e+08 1.5471486120650595e+08 1.5314388498944756e+08 1.5146013004020670e+08 1.4968455105585173e+08 1.4785703004861477e+08 1.4603345725979614e+08 1.4432821134575900e+08 1.4283947665005863e+08 1.4176898656993040e+08 1.4138001654944134e+08 1.4206675135692552e+08 1.4439148902790374e+08 1.4920702132805479e+08 1.5786094321694842e+08 1.7265640790012321e+08 3.8401322196314162e+08 +2.8623874624875270e+00 -2.3040834464472032e+08 -2.3036713477694806e+08 -2.3030032236664873e+08 -2.3021419032116207e+08 -2.3012962156218722e+08 -2.3007933446657953e+08 -2.3007784610210708e+08 -2.3010040012588549e+08 -2.3012183373647761e+08 -2.3013689196202177e+08 -2.3014828964588073e+08 -2.3015609447008112e+08 -2.3015926941842380e+08 -2.3015709002479255e+08 -2.3014900559759808e+08 -2.3013418137886557e+08 -2.3011165428342068e+08 -2.3008043314342195e+08 -2.3003936744205517e+08 -2.2998704036497194e+08 -2.2992173972791150e+08 -2.2984127139870840e+08 -2.2974190302586317e+08 -2.2961703384736615e+08 -2.2946321613120630e+08 -2.2927943697303882e+08 -2.2906005656518221e+08 -2.2879777678983507e+08 -2.2848439552383584e+08 -2.2811011822271183e+08 -2.2766310373315129e+08 -2.2712897650705680e+08 -2.2649023541991928e+08 -2.2572551617789689e+08 -2.2480869160533264e+08 -2.2370772080564362e+08 -2.2238327322137961e+08 -2.2078703704201797e+08 -2.1885974368019614e+08 -2.1652882523306137e+08 -2.1347308222964770e+08 -2.0971535120216733e+08 -2.0509376877688691e+08 -1.9941588493667853e+08 -1.9245887152744636e+08 -1.8397436311179644e+08 -1.7370060415448219e+08 -1.6138473519550234e+08 -1.4681732002870536e+08 -1.2987889046355888e+08 -1.1060299720303160e+08 -8.9189800762078002e+07 -6.6027128252114952e+07 -4.1745643952880852e+07 -1.7090541842034936e+07 7.1560123535745703e+06 3.0276556818637308e+07 5.1706251756284468e+07 7.1068834744311258e+07 8.8209767668737277e+07 1.0311159406812976e+08 1.1590453821267672e+08 1.2675356464240633e+08 1.3589526655833113e+08 1.4353017638200685e+08 1.4985086271508622e+08 1.5505079447341034e+08 1.5926164174533215e+08 1.6260561421728423e+08 1.6520410050551119e+08 1.6712865594041333e+08 1.6849434877928427e+08 1.6938222983282402e+08 1.6989324987739486e+08 1.7011683935326353e+08 1.7012026506973088e+08 1.6999742993421769e+08 1.6981024869764400e+08 1.6957827168267438e+08 1.6939622201344475e+08 1.6920655258068448e+08 1.6901050230131972e+08 1.6880421129806638e+08 1.6859111372368374e+08 1.6836137041570556e+08 1.6814227513688034e+08 1.6788586848745534e+08 1.6761153105003166e+08 1.6731423303683078e+08 1.6699004726315761e+08 1.6663420070341268e+08 1.6624131710688120e+08 1.6579977287562162e+08 1.6532986443278509e+08 1.6478631508843523e+08 1.6417702382996848e+08 1.6349316500442773e+08 1.6272523961322469e+08 1.6186345301594877e+08 1.6089797947335485e+08 1.5981419602010697e+08 1.5863225027875021e+08 1.5730516187708199e+08 1.5584869356214267e+08 1.5426621169390497e+08 1.5257012443197349e+08 1.5078154003065458e+08 1.4894063278752935e+08 1.4710373118810910e+08 1.4538591038587564e+08 1.4388627252305123e+08 1.4280794427114058e+08 1.4241615835829636e+08 1.4310793318901998e+08 1.4544970097839019e+08 1.5030051770605710e+08 1.5901789695971206e+08 1.7392167513982293e+08 3.8399077189823133e+08 +2.8673557852617853e+00 -2.2963116807753354e+08 -2.2959009739731449e+08 -2.2952350422838610e+08 -2.2943764597338492e+08 -2.2935332202826700e+08 -2.2930312967861241e+08 -2.2930153624264887e+08 -2.2932387355725110e+08 -2.2934506462331799e+08 -2.2935986514574805e+08 -2.2937097303419772e+08 -2.2937844804377094e+08 -2.2938124740720987e+08 -2.2937863853968698e+08 -2.2937006005117309e+08 -2.2935466547994098e+08 -2.2933147730833784e+08 -2.2929948643614730e+08 -2.2925752112980565e+08 -2.2920413978703254e+08 -2.2913760125264597e+08 -2.2905567756009182e+08 -2.2895459479668674e+08 -2.2882768238838828e+08 -2.2867138591882560e+08 -2.2848462630625668e+08 -2.2826172091090235e+08 -2.2799529469456056e+08 -2.2767704218905899e+08 -2.2729704693470702e+08 -2.2684332672856084e+08 -2.2630134356380689e+08 -2.2565340994916296e+08 -2.2487794871914381e+08 -2.2394859090216383e+08 -2.2283302296675652e+08 -2.2149160972105440e+08 -2.1987570309567666e+08 -2.1792566918523359e+08 -2.1556855206723315e+08 -2.1248034876626423e+08 -2.0868521991492102e+08 -2.0402087141015905e+08 -1.9829453979201004e+08 -1.9128329072912836e+08 -1.8273897834344685e+08 -1.7240053507076669e+08 -1.6001640788115528e+08 -1.4537920518088493e+08 -1.2837228484860811e+08 -1.0903268425987278e+08 -8.7564350670885444e+07 -6.4358659442579918e+07 -4.0049016056574911e+07 -1.5381978006857362e+07 8.8606386044164952e+06 3.1963237172929686e+07 5.3363951995807387e+07 7.2689954916821212e+07 8.9790070028582305e+07 1.0464966544520955e+08 1.1740115302693062e+08 1.2821096031877568e+08 1.3731662368913415e+08 1.4491912684007925e+08 1.5121119396292701e+08 1.5638627370257515e+08 1.6057586634091723e+08 1.6390191035708055e+08 1.6648554035877502e+08 1.6839799071237668e+08 1.6975402478954926e+08 1.7063436579789123e+08 1.7113964427500725e+08 1.7135889116995668e+08 1.7135899938412544e+08 1.7123355026897591e+08 1.7104417891025728e+08 1.7081020043070099e+08 1.7062675549499246e+08 1.7043568412476543e+08 1.7023820634871340e+08 1.7003042130224136e+08 1.6981578280972457e+08 1.6958441093765914e+08 1.6936363544224799e+08 1.6910537429584810e+08 1.6882905207788980e+08 1.6852960245863697e+08 1.6820306971852320e+08 1.6784464615782470e+08 1.6744891646416926e+08 1.6700420466743711e+08 1.6653079547098437e+08 1.6598330565823662e+08 1.6536959631617543e+08 1.6468077766803265e+08 1.6390728170896715e+08 1.6303924263365641e+08 1.6206676332224798e+08 1.6097514547760963e+08 1.5978452995200911e+08 1.5844780916968802e+08 1.5698076853003842e+08 1.5538679884961534e+08 1.5367839839522424e+08 1.5187682874026585e+08 1.5002255601471367e+08 1.4817234629259592e+08 1.4644197002873236e+08 1.4493144590397096e+08 1.4384529163463759e+08 1.4345069422230142e+08 1.4414750127044794e+08 1.4650627277666706e+08 1.5139231923732999e+08 1.6017305752982253e+08 1.7518498122953194e+08 3.8396546186192316e+08 +2.8723241080360435e+00 -2.2884828940806863e+08 -2.2880735120325044e+08 -2.2874098317750248e+08 -2.2865539863614282e+08 -2.2857132012431467e+08 -2.2852122308212939e+08 -2.2851952443409660e+08 -2.2854164475299382e+08 -2.2856259287047124e+08 -2.2857713538315597e+08 -2.2858795313247809e+08 -2.2859509797153965e+08 -2.2859752138643911e+08 -2.2859448265874910e+08 -2.2858540969990587e+08 -2.2856944434135762e+08 -2.2854559462241068e+08 -2.2851283350275004e+08 -2.2846996801995862e+08 -2.2841553177374783e+08 -2.2834775462198862e+08 -2.2826437475315318e+08 -2.2816157668318433e+08 -2.2803262001359999e+08 -2.2787384358278888e+08 -2.2768410209870052e+08 -2.2745767011220276e+08 -2.2718709567797473e+08 -2.2686396999320620e+08 -2.2647825470899343e+08 -2.2601782662145138e+08 -2.2546798535085636e+08 -2.2481085717564505e+08 -2.2402465227003402e+08 -2.2308276017904004e+08 -2.2195259518963033e+08 -2.2059421812237459e+08 -2.1895864555403221e+08 -2.1698587951291063e+08 -2.1460257776039377e+08 -2.1148193813397804e+08 -2.0764944836321712e+08 -2.0294238862523073e+08 -1.9716768846940228e+08 -1.9010231542747468e+08 -1.8149835277317742e+08 -1.7109543167504981e+08 -1.5864331654055980e+08 -1.4393666999503019e+08 -1.2686168182408229e+08 -1.0745887524907786e+08 -8.5935974593075082e+07 -6.2687884007136784e+07 -3.8350721980307981e+07 -1.3672377284835471e+07 1.0565714269115554e+07 3.3649845018030249e+07 5.5021136922356598e+07 7.4310199302200660e+07 9.1369213205866247e+07 1.0618636122215948e+08 1.1889623051797926e+08 1.2966669987544966e+08 1.3873623828362057e+08 1.4630627241640839e+08 1.5256967562926504e+08 1.5771987137021005e+08 1.6188818675045532e+08 1.6519628661352316e+08 1.6776504970511544e+08 1.6966538833286476e+08 1.7101175990118113e+08 1.7188455935226122e+08 1.7238409632691872e+08 1.7259900184026539e+08 1.7259579461067191e+08 1.7246773399795866e+08 1.7227617517760107e+08 1.7204019807641977e+08 1.7185535999246919e+08 1.7166288885885271e+08 1.7146398581968385e+08 1.7125470907546067e+08 1.7103853208587170e+08 1.7080553423597881e+08 1.7058308108475301e+08 1.7032296835516268e+08 1.7004466447450924e+08 1.6974306662863231e+08 1.6941419060775235e+08 1.6905319409235439e+08 1.6865462276938722e+08 1.6820674840534320e+08 1.6772984387117654e+08 1.6717841977372304e+08 1.6656029928012693e+08 1.6586652859080851e+08 1.6508747080254111e+08 1.6421318905691075e+08 1.6323371496508938e+08 1.6213427504164255e+08 1.6093500325334129e+08 1.5958866519633198e+08 1.5811106881152415e+08 1.5650562933341002e+08 1.5478493499494734e+08 1.5297040044804373e+08 1.5110278319783077e+08 1.4923928624398732e+08 1.4749637413718686e+08 1.4597498082200909e+08 1.4488101280922443e+08 1.4448360833316940e+08 1.4518543971596098e+08 1.4756118827762792e+08 1.5248240923809329e+08 1.6132640727553061e+08 1.7644630686523113e+08 3.8393730105269289e+08 +2.8772924308103018e+00 -2.2805972438686359e+08 -2.2801892290245605e+08 -2.2795277717278427e+08 -2.2786746834133795e+08 -2.2778363478403476e+08 -2.2773363379814404e+08 -2.2773182971615085e+08 -2.2775373272662863e+08 -2.2777443748848212e+08 -2.2778872169063786e+08 -2.2779924896274003e+08 -2.2780606327915269e+08 -2.2780811039516601e+08 -2.2780464143338141e+08 -2.2779507361021879e+08 -2.2777853704731065e+08 -2.2775402533034921e+08 -2.2772049347282887e+08 -2.2767672727057552e+08 -2.2762123551781863e+08 -2.2755221906905207e+08 -2.2746738225869763e+08 -2.2736286802295697e+08 -2.2723186612820351e+08 -2.2707060861117432e+08 -2.2687788393701273e+08 -2.2664792387336552e+08 -2.2637319958240300e+08 -2.2604519894164753e+08 -2.2565376174186429e+08 -2.2518662383203849e+08 -2.2462892255151528e+08 -2.2396259809142470e+08 -2.2316564818439698e+08 -2.2221122121137068e+08 -2.2106645974239296e+08 -2.1969112126658463e+08 -2.1803588792444229e+08 -2.1604039894138628e+08 -2.1363092748059893e+08 -2.1047787660332307e+08 -2.0660806408690065e+08 -2.0185834941068721e+08 -1.9603536159035677e+08 -1.8891597805371007e+08 -1.8025252079545572e+08 -1.6978533042928270e+08 -1.5726549972446698e+08 -1.4248975501308525e+08 -1.2534712367023273e+08 -1.0588161375967173e+08 -8.4304716827056319e+07 -6.1014846228868954e+07 -3.6650805223942824e+07 -1.1961781681357639e+07 1.2271199396964557e+07 3.5336342809924729e+07 5.6677771532066934e+07 7.5929535383712456e+07 9.2947166986478418e+07 1.0772165323083161e+08 1.2038974428183025e+08 1.3112075839915830e+08 1.4015408667067367e+08 1.4769159046551234e+08 1.5392628591059852e+08 1.5905156635969979e+08 1.6319858241403306e+08 1.6648872287511396e+08 1.6904260879010379e+08 1.7093082932776564e+08 1.7226753485617167e+08 1.7313279139999864e+08 1.7362658705623874e+08 1.7383715247278133e+08 1.7383063191955066e+08 1.7369996233680737e+08 1.7350621875151649e+08 1.7326824590282398e+08 1.7308201681000844e+08 1.7288814810867801e+08 1.7268782206189027e+08 1.7247705598788676e+08 1.7225934294579154e+08 1.7202472172899145e+08 1.7180059350834522e+08 1.7153863213741061e+08 1.7125834974229878e+08 1.7095460708176047e+08 1.7062339150141972e+08 1.7025982611664078e+08 1.6985841767552340e+08 1.6940738579052064e+08 1.6892699138766855e+08 1.6837163924888307e+08 1.6774911460314441e+08 1.6705039972924030e+08 1.6626578893529817e+08 1.6538527442172948e+08 1.6439881664433822e+08 1.6329156707384649e+08 1.6208365267628297e+08 1.6072771259700522e+08 1.5923957720701498e+08 1.5762268612041950e+08 1.5588971739309022e+08 1.5406223851329353e+08 1.5218129789919314e+08 1.5030453480687109e+08 1.4854910666681167e+08 1.4701686139789957e+08 1.4591509203462091e+08 1.4551488497331744e+08 1.4622173273134729e+08 1.4861443142893255e+08 1.5357077112117752e+08 1.6247792864660728e+08 1.7770563285397434e+08 3.8390629868850029e+08 +2.8822607535845601e+00 -2.2726548991582742e+08 -2.2722482815606323e+08 -2.2715890545442715e+08 -2.2707387178558493e+08 -2.2699028541526467e+08 -2.2694038090347129e+08 -2.2693847126694781e+08 -2.2696015661995021e+08 -2.2698061762705317e+08 -2.2699464321975261e+08 -2.2700487968308759e+08 -2.2701136312973225e+08 -2.2701303360948482e+08 -2.2700913405204627e+08 -2.2699907098566210e+08 -2.2698196281848007e+08 -2.2695678867410749e+08 -2.2692248561229414e+08 -2.2687781817745140e+08 -2.2682127034856746e+08 -2.2675101396339214e+08 -2.2666471949458426e+08 -2.2655848829016352e+08 -2.2642544027445713e+08 -2.2626170062805280e+08 -2.2606599154490724e+08 -2.2583250203464398e+08 -2.2555362638634530e+08 -2.2522074917506421e+08 -2.2482358836447331e+08 -2.2434973891615447e+08 -2.2378417598441166e+08 -2.2310865382374582e+08 -2.2230095794907898e+08 -2.2133399590808827e+08 -2.2017463902542534e+08 -2.1878234212606496e+08 -2.1710745384402981e+08 -2.1508925187687409e+08 -2.1265362652076164e+08 -2.0946819056691068e+08 -2.0556109474411577e+08 -2.0076878286753979e+08 -1.9489758988026765e+08 -1.8772431113443932e+08 -1.7900151688830560e+08 -1.6847026786378053e+08 -1.5588299603409907e+08 -1.4103850080560076e+08 -1.2382865267079781e+08 -1.0430094335684419e+08 -8.2670621619354263e+07 -5.9339590311663449e+07 -3.4949309183786415e+07 -1.0250233078494268e+07 1.3977054174566140e+07 3.7022693150175221e+07 5.8333820970036775e+07 7.7547930793225542e+07 9.4523901302199617e+07 1.0925551344446540e+08 1.2188166805132689e+08 1.3257311110891142e+08 1.4157014530685607e+08 1.4907505846608940e+08 1.5528100312402627e+08 1.6038133767233253e+08 1.6450703288756248e+08 1.6777919914459398e+08 1.7031819797198126e+08 1.7219429433429185e+08 1.7352133050662711e+08 1.7437904295537567e+08 1.7486709759549493e+08 1.7507332428565252e+08 1.7506349259001312e+08 1.7493021660973257e+08 1.7473429099183568e+08 1.7449432530115849e+08 1.7430670736042407e+08 1.7411144330811930e+08 1.7390969653056654e+08 1.7369744351737025e+08 1.7347819689098850e+08 1.7324195494220936e+08 1.7301615426438358e+08 1.7275234722199294e+08 1.7247008949035206e+08 1.7216420545985776e+08 1.7183065407664341e+08 1.7146452394664052e+08 1.7106028294167423e+08 1.7060609862979144e+08 1.7012221988053048e+08 1.6956294600325888e+08 1.6893602427122578e+08 1.6823237314460999e+08 1.6744221825229418e+08 1.6655548096800148e+08 1.6556205070560268e+08 1.6444700403800303e+08 1.6323046081545141e+08 1.6186493411203632e+08 1.6036627661668774e+08 1.5873795228387845e+08 1.5699272884919098e+08 1.5515232639160174e+08 1.5325808377627975e+08 1.5136807583963612e+08 1.4960015166554576e+08 1.4805707184431460e+08 1.4694751364170444e+08 1.4654450851585773e+08 1.4725636461386892e+08 1.4966598627080473e+08 1.5465738839443657e+08 1.6362760419412601e+08 1.7896294011340889e+08 3.8387246400642985e+08 +2.8872290763588184e+00 -2.2646561226270148e+08 -2.2642508524191126e+08 -2.2635938481439766e+08 -2.2627463074031332e+08 -2.2619129163679370e+08 -2.2614148352990344e+08 -2.2613946835705158e+08 -2.2616093570235771e+08 -2.2618115257125032e+08 -2.2619491925761700e+08 -2.2620486458710605e+08 -2.2621101682249123e+08 -2.2621231034137151e+08 -2.2620797983919787e+08 -2.2619742116594940e+08 -2.2617974101197940e+08 -2.2615390403121370e+08 -2.2611882932328695e+08 -2.2607326017104861e+08 -2.2601565573144582e+08 -2.2594415881087807e+08 -2.2585640601407671e+08 -2.2574845709493178e+08 -2.2561336212973735e+08 -2.2544713939377937e+08 -2.2524844478124937e+08 -2.2501142457239005e+08 -2.2472839620347020e+08 -2.2439064096892947e+08 -2.2398775504370546e+08 -2.2350719256425822e+08 -2.2293376660267770e+08 -2.2224904563239202e+08 -2.2143060318455127e+08 -2.2045110631018931e+08 -2.1927715557042113e+08 -2.1786790380383912e+08 -2.1617336707845381e+08 -2.1413246285258812e+08 -2.1167070029853600e+08 -2.0845290653777891e+08 -2.0450856810873049e+08 -1.9967371820703992e+08 -1.9375440416864794e+08 -1.8652734729004717e+08 -1.7774537561165139e+08 -1.6715028057588634e+08 -1.5449584411916769e+08 -1.3958294797016063e+08 -1.2230631111162636e+08 -1.0271690758068889e+08 -8.1033733162852407e+07 -5.7662160378947966e+07 -3.3246277151362222e+07 -8.5377732341821454e+06 1.5683238926529318e+07 3.8708858786677688e+07 5.9989250530894846e+07 7.9165353311547175e+07 9.6099386230750129e+07 1.1078791397823805e+08 1.2337197569660930e+08 1.3402373335599303e+08 1.4298439077719674e+08 1.5045665402129385e+08 1.5663380570790952e+08 1.6170916442786250e+08 1.6581351784337443e+08 1.6906769553885600e+08 1.7159179772195303e+08 1.7345576410136956e+08 1.7477312781564328e+08 1.7562329514236441e+08 1.7610560918688783e+08 1.7630749860560393e+08 1.7629435800964153e+08 1.7615847824947682e+08 1.7596037336676106e+08 1.7571841777061060e+08 1.7552941316403958e+08 1.7533275599875030e+08 1.7512959078885379e+08 1.7491585324964258e+08 1.7469507552966398e+08 1.7445721550883389e+08 1.7422974501117718e+08 1.7396409529507717e+08 1.7367986543476602e+08 1.7337184351117876e+08 1.7303596011705211e+08 1.7266726940487111e+08 1.7226020043283513e+08 1.7180286883556411e+08 1.7131551131474650e+08 1.7075232206104332e+08 1.7012101037538889e+08 1.6941243100188082e+08 1.6861674100237262e+08 1.6772379103815883e+08 1.6672339959659839e+08 1.6560056849947941e+08 1.6437541036681277e+08 1.6300031258168694e+08 1.6149115003938589e+08 1.5985141099564874e+08 1.5809395271990484e+08 1.5624064763461986e+08 1.5433312458132830e+08 1.5242989329450974e+08 1.5064949327433226e+08 1.4909559646552014e+08 1.4797826205222291e+08 1.4757246342486686e+08 1.4828931975182638e+08 1.5071583693634444e+08 1.5574224466209543e+08 1.6477541657040384e+08 1.8021820967206922e+08 3.8383580626232994e+08 +2.8921973991330767e+00 -2.2566010497369143e+08 -2.2561971630599165e+08 -2.2555423971578407e+08 -2.2546976303478059e+08 -2.2538667202222806e+08 -2.2533696109235126e+08 -2.2533484033757463e+08 -2.2535608936767784e+08 -2.2537606173867434e+08 -2.2538956922447887e+08 -2.2539922310231802e+08 -2.2540504379185152e+08 -2.2540596003720140e+08 -2.2540119825397745e+08 -2.2539014362505278e+08 -2.2537189111899775e+08 -2.2534539091415045e+08 -2.2530954414263445e+08 -2.2526307281717390e+08 -2.2520441126615739e+08 -2.2513167325187156e+08 -2.2504246150523540e+08 -2.2493279418113244e+08 -2.2479565150634938e+08 -2.2462694480217251e+08 -2.2442526363875845e+08 -2.2418471159607989e+08 -2.2389752928123054e+08 -2.2355489473304760e+08 -2.2314628237925661e+08 -2.2265900559933585e+08 -2.2207771549148017e+08 -2.2138379491061357e+08 -2.2055460564310056e+08 -2.1956257458951196e+08 -2.1837403203872442e+08 -2.1694782953113869e+08 -2.1523365152058658e+08 -2.1317005652658245e+08 -2.1068217435394859e+08 -2.0743205114915070e+08 -2.0345051207053310e+08 -1.9857318474997735e+08 -1.9260583538666797e+08 -1.8532511923340896e+08 -1.7648413160556173e+08 -1.6582540522789916e+08 -1.5310408267645705e+08 -1.3812313712920609e+08 -1.2078014127872308e+08 -1.0112954994429158e+08 -7.9394095595864385e+07 -5.5982600472239360e+07 -3.1541752312487483e+07 -6.8244437812801646e+06 1.7389714116185728e+07 4.0394802613956690e+07 6.1644025659112237e+07 8.0781770868810773e+07 9.7673591996086702e+07 1.1231882708922331e+08 1.2486064122445208e+08 1.3547260062392932e+08 1.4439679979439962e+08 1.5183635485844123e+08 1.5798467222162616e+08 1.6303502586446315e+08 1.6711801706957853e+08 1.7035419228913105e+08 1.7286338862341043e+08 1.7471521948917612e+08 1.7602290785689425e+08 1.7686552919503713e+08 1.7734210318145213e+08 1.7753965686854383e+08 1.7752320967499661e+08 1.7738472879705155e+08 1.7718444745289177e+08 1.7694050491870171e+08 1.7675011584953302e+08 1.7655206783010554e+08 1.7634748650769952e+08 1.7613226687781438e+08 1.7590996057821387e+08 1.7567048516932380e+08 1.7544134751456380e+08 1.7517385815006989e+08 1.7488765939851618e+08 1.7457750309086213e+08 1.7423929151282033e+08 1.7386804441972074e+08 1.7345815211994696e+08 1.7299767842625907e+08 1.7250684776116565e+08 1.7193974955206072e+08 1.7130405511089218e+08 1.7059055557078239e+08 1.6978933953816926e+08 1.6889018707834041e+08 1.6788284586803022e+08 1.6675224312564725e+08 1.6551848412743571e+08 1.6413383094681549e+08 1.6261418057420507e+08 1.6096304552594107e+08 1.5919337245893165e+08 1.5732718589012927e+08 1.5540640416182819e+08 1.5348997121720037e+08 1.5169711572684368e+08 1.5013241965759358e+08 1.4900732177897379e+08 1.4859873425492430e+08 1.4932058262504932e+08 1.5176396765145046e+08 1.5682532362393913e+08 1.6592134852950093e+08 1.8147142266980147e+08 3.8379633473045564e+08 +2.8971657219073350e+00 -2.2484898918032575e+08 -2.2480873780280632e+08 -2.2474348824526033e+08 -2.2465928876498836e+08 -2.2457644672252229e+08 -2.2452683314817742e+08 -2.2452460666714811e+08 -2.2454563713820362e+08 -2.2456536467662665e+08 -2.2457861267319968e+08 -2.2458797478943118e+08 -2.2459346360736334e+08 -2.2459400227734742e+08 -2.2458880888963532e+08 -2.2457725797147477e+08 -2.2455843276478767e+08 -2.2453126896903744e+08 -2.2449464974070522e+08 -2.2444727581517458e+08 -2.2438755668656382e+08 -2.2431357706006789e+08 -2.2422290578926629e+08 -2.2411151942710897e+08 -2.2397232834949774e+08 -2.2380113688109627e+08 -2.2359646824394926e+08 -2.2335238334863207e+08 -2.2306104600010747e+08 -2.2271353100957528e+08 -2.2229919110298347e+08 -2.2180519897696733e+08 -2.2121604386795706e+08 -2.2051292318159086e+08 -2.1967298720729038e+08 -2.1866842304765770e+08 -2.1746529122099206e+08 -2.1602214266708913e+08 -2.1428833118912077e+08 -2.1220205768108946e+08 -2.0968807434919327e+08 -2.0640565115159866e+08 -2.0238695463219872e+08 -1.9746721192515033e+08 -1.9145191456578836e+08 -1.8411765976764697e+08 -1.7521781958889627e+08 -1.6449567854624528e+08 -1.5170775044758356e+08 -1.3665910892865878e+08 -1.1925018545677225e+08 -9.9538913932386175e+07 -7.7751753000099227e+07 -5.4300954549899496e+07 -2.9835777746121868e+07 -5.1102862267431300e+06 1.9096440346259307e+07 4.2080487673717469e+07 6.3298111949215643e+07 8.2397151544450372e+07 9.9246488968510434e+07 1.1384822517625020e+08 1.2634763877920505e+08 1.3691968852896586e+08 1.4580734919976753e+08 1.5321413882931501e+08 1.5933358134571001e+08 1.6435890133858365e+08 1.6842051047077784e+08 1.7163866974073946e+08 1.7413295137348390e+08 1.7597264147035927e+08 1.7727065181489828e+08 1.7810572645767659e+08 1.7857656104049596e+08 1.7876978061975205e+08 1.7875002919159240e+08 1.7860894990256542e+08 1.7840649493538621e+08 1.7816056846136793e+08 1.7796879715350661e+08 1.7776936055977786e+08 1.7756336546597031e+08 1.7734666620273000e+08 1.7712283386066461e+08 1.7688174577157369e+08 1.7665094364744937e+08 1.7638161768771410e+08 1.7609345331162867e+08 1.7578116616080204e+08 1.7544063026049533e+08 1.7506683102612585e+08 1.7465412008023250e+08 1.7419050952588758e+08 1.7369621139604336e+08 1.7312521071088311e+08 1.7248514077801257e+08 1.7176672922494298e+08 1.7095999631631905e+08 1.7005465163776675e+08 1.6904037217299986e+08 1.6790201068617839e+08 1.6665966499566546e+08 1.6526547224885789e+08 1.6373535141892031e+08 1.6207283924331769e+08 1.6029097161800754e+08 1.5841192490233728e+08 1.5647790646012315e+08 1.5454829374770552e+08 1.5274300334921989e+08 1.5116752590844783e+08 1.5003467742617282e+08 1.4962330565199718e+08 1.5035013780439085e+08 1.5281036273469049e+08 1.5790660907574305e+08 1.6706538292671838e+08 1.8272256035696128e+08 3.8375405870311201e+08 +2.9021340446815933e+00 -2.2403228513755217e+08 -2.2399217332794043e+08 -2.2392714664604837e+08 -2.2384322731726348e+08 -2.2376063576449797e+08 -2.2371111929518726e+08 -2.2370878694953522e+08 -2.2372959866877010e+08 -2.2374908106095204e+08 -2.2376206928816617e+08 -2.2377113934131563e+08 -2.2377629597100732e+08 -2.2377645677456433e+08 -2.2377083147161463e+08 -2.2375878394518209e+08 -2.2373938570740512e+08 -2.2371155797439927e+08 -2.2367416592043865e+08 -2.2362588899694073e+08 -2.2356511185832006e+08 -2.2348989014137435e+08 -2.2339775882008231e+08 -2.2328465284274921e+08 -2.2314341273696765e+08 -2.2296973579008788e+08 -2.2276207885485443e+08 -2.2251446020479384e+08 -2.2221896687208664e+08 -2.2186657047168395e+08 -2.2144650207862377e+08 -2.2094579378310397e+08 -2.2034877307981986e+08 -2.1963645209950811e+08 -2.1878576988868153e+08 -2.1776867411488125e+08 -2.1655095603486994e+08 -2.1509086669696832e+08 -2.1333743022805524e+08 -2.1122849122138062e+08 -2.0868842606630445e+08 -2.0537373341292000e+08 -2.0131792390875503e+08 -1.9635582926704717e+08 -1.9029267283595338e+08 -1.8290500178562996e+08 -1.7394647435702765e+08 -1.6316113731837615e+08 -1.5030688621781561e+08 -1.3519090403644341e+08 -1.1771648592736961e+08 -9.7945042999551579e+07 -7.6106749399824977e+07 -5.2617266486062594e+07 -2.8128396423194181e+07 -3.3953419506798503e+06 2.0803378359569442e+07 4.3765877155544691e+07 6.4951475146486945e+07 8.4011463567871571e+07 1.0081804766487329e+08 1.1537608078044851e+08 1.2783294264241362e+08 1.3836497281983683e+08 1.4721601596247131e+08 1.5458998391023055e+08 1.6068051188199589e+08 1.6568077032523334e+08 1.6972097806776544e+08 1.7292110835387141e+08 1.7540046678170907e+08 1.7722801112871444e+08 1.7851634098483446e+08 1.7934386838439175e+08 1.7980896433468035e+08 1.7999785151340446e+08 1.7997479827367613e+08 1.7983112332442057e+08 1.7962649760759023e+08 1.7937859022230476e+08 1.7918543892103297e+08 1.7898461605367115e+08 1.7877720955040428e+08 1.7855903313333544e+08 1.7833367730821693e+08 1.7809097927100384e+08 1.7785851539031142e+08 1.7758735591536126e+08 1.7729722921124005e+08 1.7698281478969672e+08 1.7663995846360648e+08 1.7626361136561409e+08 1.7584808649725944e+08 1.7538134436443478e+08 1.7488358450121439e+08 1.7430868787723193e+08 1.7366424978192988e+08 1.7294093444281211e+08 1.7212869389699927e+08 1.7121716736915761e+08 1.7019596126779056e+08 1.6904985405250508e+08 1.6779893597096884e+08 1.6639521962938267e+08 1.6485464587145770e+08 1.6318077561482543e+08 1.6138673384581318e+08 1.5949484851158059e+08 1.5754761551379213e+08 1.5560484512005606e+08 1.5378714056089425e+08 1.5220089979796341e+08 1.5106031368905455e+08 1.5064616235265398e+08 1.5137796995235857e+08 1.5385500659766582e+08 1.5898608490937585e+08 1.6820750271907920e+08 1.8397160409541512e+08 3.8370898749030143e+08 +2.9071023674558516e+00 -2.2321001305944780e+08 -2.2317003802849117e+08 -2.2310523943709943e+08 -2.2302159933659703e+08 -2.2293925809011310e+08 -2.2288983936047605e+08 -2.2288740096927205e+08 -2.2290799375065517e+08 -2.2292723069751123e+08 -2.2293995888414568e+08 -2.2294873658138666e+08 -2.2295356071717948e+08 -2.2295334337293983e+08 -2.2294728585708955e+08 -2.2293474141896158e+08 -2.2291476983606711e+08 -2.2288627784039587e+08 -2.2284811261623392e+08 -2.2279893232572025e+08 -2.2273709677898410e+08 -2.2266063253391632e+08 -2.2256704068260208e+08 -2.2245221456935057e+08 -2.2230892487753621e+08 -2.2213276181977922e+08 -2.2192211586056089e+08 -2.2167096267019612e+08 -2.2137131253980163e+08 -2.2101403392369577e+08 -2.2058823629945648e+08 -2.2008081123387802e+08 -2.1947592460363516e+08 -2.1875440344667223e+08 -2.1789297582732752e+08 -2.1686335034867299e+08 -2.1563104952460289e+08 -2.1415402523079535e+08 -2.1238097290414447e+08 -2.1024938217341837e+08 -2.0768325540584373e+08 -2.0433632491555101e+08 -2.0024344812577236e+08 -1.9523906641542870e+08 -1.8912814142464039e+08 -1.8168717826719490e+08 -1.7267013078108266e+08 -1.6182181839241406e+08 -1.4890152881428099e+08 -1.3371856314012484e+08 -1.1617908496727876e+08 -9.6347980568956926e+07 -7.4459128759822085e+07 -5.0931580068950675e+07 -2.6419651205650706e+07 -1.6796522055507409e+06 2.2510489039604224e+07 4.5450934397130512e+07 6.6604081146969683e+07 8.5624675318193376e+07 1.0238823874895731e+08 1.1690236658533248e+08 1.2931652723322815e+08 1.3980842937817776e+08 1.4862277718041107e+08 1.5596386820171908e+08 1.6202544275338832e+08 1.6700061241814479e+08 1.7101939999726674e+08 1.7420148870295590e+08 1.7666591577061135e+08 1.7848130966017580e+08 1.7975995677311191e+08 1.8057993653997314e+08 1.8103929474404234e+08 1.8122385131320995e+08 1.8119749874464205e+08 1.8105123093000442e+08 1.8084443737147257e+08 1.8059455213413483e+08 1.8040002310492891e+08 1.8019781628530565e+08 1.7998900075549614e+08 1.7976934968624067e+08 1.7954247296035799e+08 1.7929816773068509e+08 1.7906404483107558e+08 1.7879105494833335e+08 1.7849896924126589e+08 1.7818243115336195e+08 1.7783725833224535e+08 1.7745836768586475e+08 1.7704003366032696e+08 1.7657016527773169e+08 1.7606894946399751e+08 1.7549016349657178e+08 1.7484136463260901e+08 1.7411315380693504e+08 1.7329541494505572e+08 1.7237771702875105e+08 1.7134959601103419e+08 1.7019575619817677e+08 1.6893628015451559e+08 1.6752305633072463e+08 1.6597204732893366e+08 1.6428683820639184e+08 1.6248064288847953e+08 1.6057594065429303e+08 1.5861551545550826e+08 1.5665960966181764e+08 1.5482951187384555e+08 1.5323252599782926e+08 1.5208421535401267e+08 1.5166728918462002e+08 1.5240406382279938e+08 1.5489788374490052e+08 1.6006373511275119e+08 1.6934769096518147e+08 1.8521853535770205e+08 3.8366113041937095e+08 +2.9120706902301099e+00 -2.2238219186380568e+08 -2.2234235388629273e+08 -2.2227778175207964e+08 -2.2219442527129662e+08 -2.2211233349345061e+08 -2.2206301345304781e+08 -2.2206046870584667e+08 -2.2208084231447148e+08 -2.2209983352266514e+08 -2.2211230140443024e+08 -2.2212078646355471e+08 -2.2212527781117940e+08 -2.2212468204699165e+08 -2.2211819203349724e+08 -2.2210515039476314e+08 -2.2208460517040217e+08 -2.2205544860727051e+08 -2.2201650989299712e+08 -2.2196642589508715e+08 -2.2190353157633251e+08 -2.2182582440481809e+08 -2.2173077159252837e+08 -2.2161422487841967e+08 -2.2146888510989624e+08 -2.2129023539087886e+08 -2.2107659977989247e+08 -2.2082191137983480e+08 -2.2051810377516946e+08 -2.2015594229828799e+08 -2.1972441488753292e+08 -2.1921027267340648e+08 -2.1859752004455695e+08 -2.1786679913301021e+08 -2.1699462729008868e+08 -2.1595247443261418e+08 -2.1470559485970938e+08 -2.1321164200302473e+08 -2.1141898360656136e+08 -2.0926475568384200e+08 -2.0667258838624573e+08 -2.0329345275650236e+08 -1.9916355561849391e+08 -1.9411695311290222e+08 -1.8795835165445358e+08 -1.8046422227839711e+08 -1.7138882380568948e+08 -1.6047775867483085e+08 -1.4749171710381740e+08 -1.3224212694584371e+08 -1.1463802484730327e+08 -9.4747770030558959e+07 -7.2808934984454572e+07 -4.9243939000117905e+07 -2.4709584845358849e+07 3.6741884714862768e+04 2.4217733411318231e+07 4.7135622884879977e+07 6.8255895997976467e+07 8.7236755324939609e+07 1.0395703303113569e+08 1.1842705541669366e+08 1.3079836710798676e+08 1.4125003421798155e+08 1.5002761007981226e+08 1.5733576992934409e+08 1.6336835300444797e+08 1.6831840732939923e+08 1.7231575651297212e+08 1.7547979147689182e+08 1.7792927937577945e+08 1.7973251837202406e+08 1.8100148069677877e+08 1.8181391259891611e+08 1.8226753405872944e+08 1.8244776189201578e+08 1.8241811253651932e+08 1.8226925469510129e+08 1.8206029623782817e+08 1.8180843623757488e+08 1.8161253176661861e+08 1.8140894333647832e+08 1.8119872118424615e+08 1.8097759798596311e+08 1.8074920296374422e+08 1.8050329332119164e+08 1.8026751416485745e+08 1.7999269700884840e+08 1.7969865565304461e+08 1.7937999753415215e+08 1.7903251218296966e+08 1.7865108234127021e+08 1.7822994396529037e+08 1.7775695470800757e+08 1.7725228877763167e+08 1.7666962011941203e+08 1.7601646794481787e+08 1.7528337000472847e+08 1.7446014222853419e+08 1.7353628347575310e+08 1.7250125936441052e+08 1.7133970019919169e+08 1.7007168074839079e+08 1.6864896569546330e+08 1.6708753928818318e+08 1.6539101068215257e+08 1.6357268259010538e+08 1.6165518536385870e+08 1.5968159051325956e+08 1.5771257179487488e+08 1.5587010189313987e+08 1.5426238927178955e+08 1.5310636729901463e+08 1.5268667106644928e+08 1.5342840426093251e+08 1.5593897877376536e+08 1.6113954376957005e+08 1.7048593082504842e+08 1.8646333572797585e+08 3.8361049683466184e+08 +2.9170390130043682e+00 -2.2154884158051267e+08 -2.2150914615930811e+08 -2.2144479756901380e+08 -2.2136172253137761e+08 -2.2127988244344169e+08 -2.2123066169889876e+08 -2.2122801030672076e+08 -2.2124816442829221e+08 -2.2126690960430026e+08 -2.2127911692120433e+08 -2.2128730907082987e+08 -2.2129146734801725e+08 -2.2129049290018761e+08 -2.2128357011780408e+08 -2.2127003100433108e+08 -2.2124891185946995e+08 -2.2121909044494432e+08 -2.2117937794452524e+08 -2.2112838992775437e+08 -2.2106443650681600e+08 -2.2098548605159292e+08 -2.2088897189375192e+08 -2.2077070417042440e+08 -2.2062331390186426e+08 -2.2044217705261609e+08 -2.2022555126041543e+08 -2.1996732709739047e+08 -2.1965936147862870e+08 -2.1929231665691018e+08 -2.1885505909326872e+08 -2.1833419957401189e+08 -2.1771358113449368e+08 -2.1697366119511029e+08 -2.1609074666996098e+08 -2.1503606917536604e+08 -2.1377461533282471e+08 -2.1226374087006399e+08 -2.1045148684535700e+08 -2.0827463701768968e+08 -2.0565645114170381e+08 -2.0224514414471155e+08 -1.9807827482929799e+08 -1.9298951920425898e+08 -1.8678333494258142e+08 -1.7923616696942478e+08 -1.7010258844728774e+08 -1.5912899512893516e+08 -1.4607748999225891e+08 -1.3076163617638399e+08 -1.1309334782992704e+08 -9.3144454739701942e+07 -7.1156211916013151e+07 -4.7554386892862052e+07 -2.2998239983085904e+07 1.7537993255418278e+06 2.5925072641647920e+07 4.8819906254459061e+07 6.9906885898509070e+07 8.8847672268071011e+07 1.0552440146912089e+08 1.1995012024286501e+08 1.3227843696073109e+08 1.4268976348637170e+08 1.5143049201503849e+08 1.5870566744304794e+08 1.6470922180081204e+08 1.6963413488987851e+08 1.7361002798454079e+08 1.7675599747923264e+08 1.7919053874629590e+08 1.8098161868412986e+08 1.8224089438383463e+08 1.8304577834623420e+08 1.8349366417826933e+08 1.8366956523201978e+08 1.8363662169073814e+08 1.8348517670483217e+08 1.8327405632571480e+08 1.8302022468197727e+08 1.8282294707599884e+08 1.8261797939751956e+08 1.8240635304728809e+08 1.8218376026467523e+08 1.8195384957329127e+08 1.8170633832072610e+08 1.8146890569450846e+08 1.8119226442656472e+08 1.8089627080479082e+08 1.8057549632173735e+08 1.8022570243949342e+08 1.7984173779261279e+08 1.7941779991416615e+08 1.7894169520270529e+08 1.7843358504060277e+08 1.7784704040164846e+08 1.7718954243868840e+08 1.7645156582765585e+08 1.7562285861991906e+08 1.7469284967337507e+08 1.7365093439230481e+08 1.7248166923336717e+08 1.7120512105653197e+08 1.6977293116696024e+08 1.6820110534580761e+08 1.6649327680517435e+08 1.6466283689162815e+08 1.6273256676964563e+08 1.6074582500994232e+08 1.5876371603505880e+08 1.5690889531663513e+08 1.5529047447534290e+08 1.5412675449287730e+08 1.5370429300803795e+08 1.5445097620366317e+08 1.5697827637480035e+08 1.6221349505985850e+08 1.7162220556071252e+08 1.8770598690109476e+08 3.8355709609716100e+08 +2.9220073357786265e+00 -2.2070998238584244e+08 -2.2067042532418442e+08 -2.2060630525730634e+08 -2.2052351230414727e+08 -2.2044192531826505e+08 -2.2039280399826571e+08 -2.2039004603092489e+08 -2.2040998029479992e+08 -2.2042847914215091e+08 -2.2044042563345098e+08 -2.2044832461470580e+08 -2.2045214955128253e+08 -2.2045079616459033e+08 -2.2044344035466614e+08 -2.2042940350751182e+08 -2.2040771018092868e+08 -2.2037722365102041e+08 -2.2033673709305519e+08 -2.2028484477494389e+08 -2.2021983195581302e+08 -2.2013963789886832e+08 -2.2004166205861205e+08 -2.1992167297382772e+08 -2.1977223184878135e+08 -2.1958860748210332e+08 -2.1936899107721406e+08 -2.1910723071362042e+08 -2.1879510667761463e+08 -2.1842317818745494e+08 -2.1798019029316449e+08 -2.1745261353334793e+08 -2.1682412973085794e+08 -2.1607501179454201e+08 -2.1518135648346016e+08 -2.1411415750873962e+08 -2.1283813435991105e+08 -2.1131034580974028e+08 -2.0947850724986330e+08 -2.0727905155771717e+08 -2.0463486992174211e+08 -2.0119142640014032e+08 -1.9698763430727106e+08 -1.9185679463409305e+08 -1.8560312279854259e+08 -1.7800304557327482e+08 -1.6881145979319796e+08 -1.5777556477314964e+08 -1.4465888642148280e+08 -1.2927713156974694e+08 -1.1154509616811030e+08 -9.1538078015344009e+07 -6.9501003333374262e+07 -4.5862967271086894e+07 -2.1285659147422612e+07 3.4714792525419155e+06 2.7632468040210247e+07 5.0503748291104831e+07 7.1557017199329004e+07 9.0457394978271782e+07 1.0709031516783944e+08 1.2147153417479788e+08 1.3375671162335022e+08 1.4412759346327740e+08 1.5283140046919030e+08 1.6007353921744040e+08 1.6604802842960182e+08 1.7094777504907069e+08 1.7490219489790940e+08 1.7803008762788269e+08 1.8044967514351109e+08 1.8222859212767491e+08 1.8347817957355613e+08 1.8427551567721868e+08 1.8471766711228251e+08 1.8488924342469382e+08 1.8485300835759765e+08 1.8469897915245003e+08 1.8448569986282673e+08 1.8422989972471288e+08 1.8403125131081742e+08 1.8382490676668751e+08 1.8361187866335124e+08 1.8338781886297363e+08 1.8315639515149167e+08 1.8290728511521807e+08 1.8266820183025324e+08 1.8238973963831070e+08 1.8209179716226238e+08 1.8176891001243141e+08 1.8141681163194600e+08 1.8103031660745409e+08 1.8060358411546004e+08 1.8012436941613123e+08 1.7961282095793337e+08 1.7902240710420561e+08 1.7836057093887910e+08 1.7761772417215705e+08 1.7678354709574404e+08 1.7584739868798530e+08 1.7479860426221642e+08 1.7362164658070537e+08 1.7233658448391968e+08 1.7089493628903294e+08 1.6931272919781861e+08 1.6759362043682519e+08 1.6575108983213460e+08 1.6380806909744009e+08 1.6180820336416399e+08 1.5981302699237546e+08 1.5794587693526116e+08 1.5631676655636078e+08 1.5514536199609014e+08 1.5472014010996875e+08 1.5547176467925066e+08 1.5801576133128962e+08 1.6328557325993294e+08 1.7275649853548875e+08 1.8894647068330050e+08 3.8350093758415544e+08 +2.9269756585528848e+00 -2.1986563339172375e+08 -2.1982621755444452e+08 -2.1976232670381236e+08 -2.1967981536888778e+08 -2.1959848280399436e+08 -2.1954946033886510e+08 -2.1954659621275720e+08 -2.1956631024368182e+08 -2.1958456246464306e+08 -2.1959624786716250e+08 -2.1960385343334582e+08 -2.1960734477160397e+08 -2.1960561219928262e+08 -2.1959782311618170e+08 -2.1958328829090518e+08 -2.1956102053881186e+08 -2.1952986865081409e+08 -2.1948860778789341e+08 -2.1943581091440639e+08 -2.1936973843456614e+08 -2.1928830049862584e+08 -2.1918886268635109e+08 -2.1906715194365975e+08 -2.1891565967301512e+08 -2.1872954748335549e+08 -2.1850694013177302e+08 -2.1824164324606133e+08 -2.1792536052556774e+08 -2.1754854820370883e+08 -2.1709982998930293e+08 -2.1656553627466476e+08 -2.1592918781614682e+08 -2.1517087321693698e+08 -2.1426647937159461e+08 -2.1318676248723635e+08 -2.1189617547792780e+08 -2.1035148091960835e+08 -2.0850006956819823e+08 -2.0627802480257994e+08 -2.0360787108820650e+08 -2.0013232695314002e+08 -1.9589166270657584e+08 -1.9071880944612926e+08 -1.8441774682292175e+08 -1.7676489140387639e+08 -1.6751547299899125e+08 -1.5641750467956653e+08 -1.4323594536886901e+08 -1.2778865387689599e+08 -1.0999331210394293e+08 -8.9928683139012262e+07 -6.7843352950645193e+07 -4.4169723568150349e+07 -1.9571884753771149e+07 5.1897409323307807e+06 2.9339881059910454e+07 5.2187112930197932e+07 7.3206256403622016e+07 9.2065892437026665e+07 1.0865474537923388e+08 1.2299127046619621e+08 1.3523316606528029e+08 1.4556350056148839e+08 1.5423031305411524e+08 1.6143936385208297e+08 1.6738475229950801e+08 1.7225930787520671e+08 1.7619223785600471e+08 1.7930204295546567e+08 1.8170666994261995e+08 1.8347342034620374e+08 1.8471331811595610e+08 1.8550310659740895e+08 1.8593952497979006e+08 1.8610677867119402e+08 1.8606725479638663e+08 1.8591064434071368e+08 1.8569520918589631e+08 1.8543744373194739e+08 1.8523742685742664e+08 1.8502970785013145e+08 1.8481528045954335e+08 1.8458975622922581e+08 1.8435682216871297e+08 1.8410611619830558e+08 1.8386538508986700e+08 1.8358510518857732e+08 1.8328521729797971e+08 1.8296022121014354e+08 1.8260582239761597e+08 1.8221680145952162e+08 1.8178727928368500e+08 1.8130496010800183e+08 1.8078997933940151e+08 1.8019570309402567e+08 1.7952953637527207e+08 1.7878182803907883e+08 1.7794219073649433e+08 1.7699991368988645e+08 1.7594425224449322e+08 1.7475961562382892e+08 1.7346605453726894e+08 1.7201496470637283e+08 1.7042239463997677e+08 1.6869202553740945e+08 1.6683742554801771e+08 1.6488167666952890e+08 1.6286871008924308e+08 1.6086048937082386e+08 1.5898103163303378e+08 1.5734125055437922e+08 1.5616217496039584e+08 1.5573419756438455e+08 1.5649075480750480e+08 1.5905141851980826e+08 1.6435576274159291e+08 1.7388879321475616e+08 1.9018476899250990e+08 3.8344203068888611e+08 +2.9319439813271431e+00 -2.1901581855595648e+08 -2.1897654360173449e+08 -2.1891288063407663e+08 -2.1883065330938661e+08 -2.1874957481490329e+08 -2.1870065129675645e+08 -2.1869768127155122e+08 -2.1871717472575545e+08 -2.1873518002672836e+08 -2.1874660407450137e+08 -2.1875391599123499e+08 -2.1875707348497456e+08 -2.1875496148919821e+08 -2.1874673890023828e+08 -2.1873170586752823e+08 -2.1870886346354342e+08 -2.1867704599493319e+08 -2.1863501060423625e+08 -2.1858130895016879e+08 -2.1851417658153236e+08 -2.1843149452846605e+08 -2.1833059450189480e+08 -2.1820716186084986e+08 -2.1805361822223195e+08 -2.1786501798503968e+08 -2.1763941945074838e+08 -2.1737058583691791e+08 -2.1705014430121681e+08 -2.1666844814422882e+08 -2.1621399980832213e+08 -2.1567298964516124e+08 -2.1502877749612418e+08 -2.1426126787093219e+08 -2.1334613809653205e+08 -2.1225390728684688e+08 -2.1094876234394282e+08 -2.0938717041653329e+08 -2.0751619866488564e+08 -2.0527158236572018e+08 -2.0257548111621249e+08 -1.9906787334139791e+08 -1.9479038878460959e+08 -1.8957559378167653e+08 -1.8322723870577264e+08 -1.7552173785523394e+08 -1.6621466328781992e+08 -1.5505485197197407e+08 -1.4180870584516022e+08 -1.2629624386085936e+08 -1.0843803786636735e+08 -8.8316313352821290e+07 -6.6183304415678553e+07 -4.2474699125652991e+07 -1.7856959103408765e+07 6.9085437633409323e+06 3.1047273297593988e+07 5.3869964257653497e+07 7.4854570167005271e+07 9.3673133777128667e+07 1.1021766350349310e+08 1.2450930251374027e+08 1.3670777539398718e+08 1.4699746132671413e+08 1.5562720750988930e+08 1.6280312007081422e+08 1.6871937294059965e+08 1.7356871355522150e+08 1.7748013757786918e+08 1.8057184460955667e+08 1.8296150463163036e+08 1.8471608509503287e+08 1.8594629197226679e+08 1.8672853322262958e+08 1.8715922001003194e+08 1.8732215328163531e+08 1.8727934337582436e+08 1.8712015468075892e+08 1.8690256673980290e+08 1.8664283917840850e+08 1.8644145621050468e+08 1.8623236516293815e+08 1.8601654097093007e+08 1.8578955491953760e+08 1.8555511320312148e+08 1.8530281417134300e+08 1.8506043809888431e+08 1.8477834372896606e+08 1.8447651389196217e+08 1.8414941262495345e+08 1.8379271748021075e+08 1.8340117512962386e+08 1.8296886824000901e+08 1.8248345014445150e+08 1.8196504310117605e+08 1.8136691134316918e+08 1.8069642178278431e+08 1.7994386053375992e+08 1.7909877272686359e+08 1.7815037795245895e+08 1.7708786171226373e+08 1.7589555984720227e+08 1.7459351482477811e+08 1.7313300016387063e+08 1.7153008556787542e+08 1.6978847616585106e+08 1.6792182827342460e+08 1.6595337390491873e+08 1.6392732979440013e+08 1.6190608796856916e+08 1.6001434438666651e+08 1.5836391160136285e+08 1.5717717862876537e+08 1.5674645065406767e+08 1.5750793179989627e+08 1.6008523290989652e+08 1.6542404797358927e+08 1.7501907316553700e+08 1.9142086385706863e+08 3.8338038482020670e+08 +2.9369123041014014e+00 -2.1816055704129905e+08 -2.1812142074926382e+08 -2.1805798789449951e+08 -2.1797604509839946e+08 -2.1789522154501429e+08 -2.1784639781556758e+08 -2.1784332173863587e+08 -2.1786259430640072e+08 -2.1788035240673029e+08 -2.1789151483418986e+08 -2.1789853287827480e+08 -2.1790135629271430e+08 -2.1789886464418685e+08 -2.1789020832956234e+08 -2.1787467687478149e+08 -2.1785125961040491e+08 -2.1781877635916716e+08 -2.1777596624196258e+08 -2.1772135961088428e+08 -2.1765316715840793e+08 -2.1756924079080886e+08 -2.1746687835470557e+08 -2.1734172363055333e+08 -2.1718612846863511e+08 -2.1699504004065964e+08 -2.1676645018548802e+08 -2.1649407975255281e+08 -2.1616947940638158e+08 -2.1578289957076132e+08 -2.1532272149971852e+08 -2.1477499561486730e+08 -2.1412292099881038e+08 -2.1334621828688544e+08 -2.1242035554183766e+08 -2.1131561520326287e+08 -2.0999591873382241e+08 -2.0841743863434109e+08 -2.0652691952065134e+08 -2.0425974997419393e+08 -2.0153772659091106e+08 -1.9799809321046281e+08 -1.9368384140080839e+08 -1.8842717787748143e+08 -1.8203163022499493e+08 -1.7427361839886856e+08 -1.6490906594808316e+08 -1.5368764382437837e+08 -1.4037720689259169e+08 -1.2479994229465206e+08 -1.0687931567020029e+08 -8.6701011858119428e+07 -6.4520901308858566e+07 -4.0777937192075685e+07 -1.6140924382387184e+07 8.6278472766035311e+06 3.2754606494557753e+07 5.5552266510352448e+07 7.6501925298086748e+07 9.5279088282519370e+07 1.1177904108790010e+08 1.2602560385674587e+08 1.3818051485461488e+08 1.4842945243811157e+08 1.5702206170538709e+08 1.6416478672289577e+08 1.7005187000435948e+08 1.7487597239500824e+08 1.7876587489902946e+08 1.8183947385196510e+08 1.8421416081186756e+08 1.8595656824150580e+08 1.8717708321467417e+08 1.8795177777919361e+08 1.8837673454152560e+08 1.8853534967594802e+08 1.8848925657357621e+08 1.8832749269301903e+08 1.8810775507847697e+08 1.8784606864724132e+08 1.8764332197352588e+08 1.8743286132788947e+08 1.8721564284049234e+08 1.8698719759833047e+08 1.8675125094091603e+08 1.8649736174324456e+08 1.8625334359033313e+08 1.8596943801889911e+08 1.8566566973156703e+08 1.8533646707486412e+08 1.8497747973074633e+08 1.8458342050482610e+08 1.8414833391198292e+08 1.8365982249763960e+08 1.8313799526503363e+08 1.8253601492892990e+08 1.8186121030144009e+08 1.8110380486616078e+08 1.8025327635562482e+08 1.7929877485289255e+08 1.7822941614189050e+08 1.7702946283774999e+08 1.7571894905589139e+08 1.7424902650739679e+08 1.7263578597685227e+08 1.7088295647982526e+08 1.6900428234002498e+08 1.6702314531863126e+08 1.6498404718353707e+08 1.6294980767791206e+08 1.6104580026618713e+08 1.5938473492101359e+08 1.5819035833576474e+08 1.5775688475330263e+08 1.5852328095936689e+08 1.6111718956416962e+08 1.6649041352030468e+08 1.7614732205651486e+08 1.9265473741720286e+08 3.8331600940224171e+08 +2.9418806268756597e+00 -2.1729986715838799e+08 -2.1726087337167460e+08 -2.1719767033320460e+08 -2.1711601272393632e+08 -2.1703544341457075e+08 -2.1698672065903610e+08 -2.1698353826618275e+08 -2.1700258966447118e+08 -2.1702010030397666e+08 -2.1703100085087344e+08 -2.1703772480836233e+08 -2.1704021391944292e+08 -2.1703734239772838e+08 -2.1702825215070733e+08 -2.1701222207394925e+08 -2.1698822975874177e+08 -2.1695508054307622e+08 -2.1691149552508166e+08 -2.1685598374920204e+08 -2.1678673105179507e+08 -2.1670156021156782e+08 -2.1659773521783757e+08 -2.1647085828176484e+08 -2.1631321150768679e+08 -2.1611963482699007e+08 -2.1588805360950252e+08 -2.1561214638197756e+08 -2.1528338736616501e+08 -2.1489192416766098e+08 -2.1442601693501216e+08 -2.1387157627461314e+08 -2.1321164067316344e+08 -2.1242574711523715e+08 -2.1148915471093929e+08 -2.1037190965109825e+08 -2.0903766854142365e+08 -2.0744231002293584e+08 -2.0553225723012930e+08 -2.0324255346698144e+08 -2.0049463420668420e+08 -1.9692301431055346e+08 -1.9257204951548895e+08 -1.8727359206483766e+08 -1.8083095324539810e+08 -1.7302056658309278e+08 -1.6359871633237854e+08 -1.5231591745953569e+08 -1.3894148758375818e+08 -1.2329978995982267e+08 -1.0531718771411154e+08 -8.5082821814304680e+07 -6.2856187141703375e+07 -3.9079480921918690e+07 -1.4423822660619199e+07 1.0347611136549328e+07 3.4461842537275136e+07 5.7233984076780848e+07 7.8148288758485049e+07 9.6883725388903812e+07 1.1333884982764517e+08 1.2754014817790905e+08 1.3965135983048716e+08 1.4985945070746961e+08 1.5841485363842756e+08 1.6552434278187147e+08 1.7138222326424310e+08 1.7618106481883878e+08 1.8004943077155185e+08 1.8310491205934349e+08 1.8546462019785896e+08 1.8719485176504347e+08 1.8840567402662760e+08 1.8917282260393694e+08 1.8959205102325791e+08 1.8974635038329610e+08 1.8969697697625795e+08 1.8953264100644216e+08 1.8931075686451292e+08 1.8904711483001053e+08 1.8884300685752493e+08 1.8863117907636839e+08 1.8841256881995064e+08 1.8818266703805819e+08 1.8794521817614943e+08 1.8768974173101747e+08 1.8744408440458840e+08 1.8715837092490426e+08 1.8685266771135631e+08 1.8652136748452353e+08 1.8616009210674337e+08 1.8576352057897645e+08 1.8532565933316395e+08 1.8483406024565443e+08 1.8430881895877698e+08 1.8370299703443998e+08 1.8302388517613766e+08 1.8226164435126075e+08 1.8140568501581800e+08 1.8044508787196219e+08 1.7936889911245194e+08 1.7816130828452468e+08 1.7684234104191068e+08 1.7536302768349552e+08 1.7373947996154949e+08 1.7197545073553747e+08 1.7008477217717239e+08 1.6809097552254671e+08 1.6603884705632904e+08 1.6399163348520753e+08 1.6207538443472525e+08 1.6040370582931587e+08 1.5920169950718331e+08 1.5876548532726336e+08 1.5953678768051907e+08 1.6214727363822672e+08 1.6755484404256612e+08 1.7727352365820491e+08 1.9388637192453110e+08 3.8324891387404746e+08 +2.9468489496499179e+00 -2.1643377255707365e+08 -2.1639491847075185e+08 -2.1633194816976401e+08 -2.1625057486285344e+08 -2.1617026156609780e+08 -2.1612164046968424e+08 -2.1611835161912197e+08 -2.1613718159565341e+08 -2.1615444453768533e+08 -2.1616508295372909e+08 -2.1617151261797631e+08 -2.1617366721188995e+08 -2.1617041560637048e+08 -2.1616089123276806e+08 -2.1614436234924093e+08 -2.1611979481002912e+08 -2.1608597946879917e+08 -2.1604161939981768e+08 -2.1598520234001282e+08 -2.1591488927019855e+08 -2.1582847383945575e+08 -2.1572318618671575e+08 -2.1559458696536449e+08 -2.1543488855732900e+08 -2.1523882364257911e+08 -2.1500425111912104e+08 -2.1472480723640576e+08 -2.1439188982672834e+08 -2.1399554374082887e+08 -2.1352390810682267e+08 -2.1296275383688939e+08 -2.1229495898809671e+08 -2.1149987712621373e+08 -2.1055255872549662e+08 -2.0942281416253805e+08 -2.0807403577662367e+08 -2.0646180914781383e+08 -2.0453223700150982e+08 -2.0222001879453021e+08 -1.9944623076639163e+08 -1.9584266449673346e+08 -1.9145504218791279e+08 -1.8611486676797926e+08 -1.7962523971612710e+08 -1.7176261603075486e+08 -1.6228364985561457e+08 -1.5093971014689279e+08 -1.3750158701947185e+08 -1.2179582764452022e+08 -1.0375169617951645e+08 -8.3461786336833701e+07 -6.1189205355414532e+07 -3.7379373374189325e+07 -1.2705695890863009e+07 1.2067795141779529e+07 3.6168943457836702e+07 5.8915081497028142e+07 7.9793627663496122e+07 9.8487014683610678e+07 1.1489706156620167e+08 1.2905290930285202e+08 1.4112028584280279e+08 1.5128743307997221e+08 1.5980556143507573e+08 1.6688176734655946e+08 1.7271041261469468e+08 1.7748397137029314e+08 1.8133078626450092e+08 1.8436814072319853e+08 1.8671286461719462e+08 1.8843091775695151e+08 1.8963204670246911e+08 1.9039165014390150e+08 1.9080515201388800e+08 1.9095513804248956e+08 1.9090248727992079e+08 1.9073558235919970e+08 1.9051155486919311e+08 1.9024596052706918e+08 1.9004049368282098e+08 1.8982730124814817e+08 1.8960730176876274e+08 1.8937594611916941e+08 1.8913699781054813e+08 1.8887993705900633e+08 1.8863264349006459e+08 1.8834512542091575e+08 1.8803749083299872e+08 1.8770409688562936e+08 1.8734053767305958e+08 1.8694145845274475e+08 1.8650082764404595e+08 1.8600614657314706e+08 1.8547749741567376e+08 1.8486784094807199e+08 1.8418442975699398e+08 1.8341736240824607e+08 1.8255598220461595e+08 1.8158930059402782e+08 1.8050629430608195e+08 1.7929107997935799e+08 1.7796367469562659e+08 1.7647498773915222e+08 1.7484115171707505e+08 1.7306594328837958e+08 1.7116328231173643e+08 1.6915684922498915e+08 1.6709171430780843e+08 1.6503155047114846e+08 1.6310308214819029e+08 1.6142080973415697e+08 1.6021118766039819e+08 1.5977223793255955e+08 1.6054843744954315e+08 1.6317547038091785e+08 1.6861732429713416e+08 1.7839766184293503e+08 1.9511574974150950e+08 3.8317910768927461e+08 +2.9518172724241762e+00 -2.1556229264513874e+08 -2.1552358286568058e+08 -2.1546084062481645e+08 -2.1537975377396694e+08 -2.1529969726041031e+08 -2.1525117811443448e+08 -2.1524778268601161e+08 -2.1526639102078769e+08 -2.1528340604801419e+08 -2.1529378209523153e+08 -2.1529991726595339e+08 -2.1530173713774011e+08 -2.1529810524800196e+08 -2.1528814656676766e+08 -2.1527111870611972e+08 -2.1524597578784180e+08 -2.1521149418010995e+08 -2.1516635893436229e+08 -2.1510903647985247e+08 -2.1503766294353592e+08 -2.1495000284405944e+08 -2.1484325247839236e+08 -2.1471293095390928e+08 -2.1455118095631245e+08 -2.1435262790718520e+08 -2.1411506423076382e+08 -2.1383208394707629e+08 -2.1349500855474448e+08 -2.1309378021526119e+08 -2.1261641712726328e+08 -2.1204855063255122e+08 -2.1137289853171185e+08 -2.1056863120775571e+08 -2.0961059082476035e+08 -2.0846835238622057e+08 -2.0710504456481552e+08 -2.0547596068773538e+08 -2.0352688415462700e+08 -2.0119217201591885e+08 -1.9839254317923337e+08 -1.9475707172627079e+08 -1.9033284857525250e+08 -1.8495103250242946e+08 -1.7841452167028773e+08 -1.7049980043845743e+08 -1.6096390199311054e+08 -1.4955905920162505e+08 -1.3605754432776508e+08 -1.2028809614240775e+08 -1.0218288322847959e+08 -8.1837948496186361e+07 -5.9519999319692962e+07 -3.5677657511456296e+07 -1.0986585907772351e+07 1.3788359225819990e+07 3.7875871434715442e+07 6.0595523463581309e+07 8.1437909281943128e+07 1.0008892590593837e+08 1.1645364829472242e+08 1.3056386120041329e+08 1.4258726855095670e+08 1.5271337663386106e+08 1.6119416335037476e+08 1.6823703964043799e+08 1.7403641807206059e+08 1.7878467271155012e+08 1.8260992256293559e+08 1.8562914144953761e+08 1.8795887601083472e+08 1.8966474842078060e+08 1.9085618364779153e+08 1.9160824295618898e+08 1.9201602018142986e+08 1.9216169540160051e+08 1.9210577028980482e+08 1.9193629959842417e+08 1.9171013197257194e+08 1.9144258864715523e+08 1.9123576537760535e+08 1.9102121079111791e+08 1.9079982465481913e+08 1.9056701782999775e+08 1.9032657285424921e+08 1.9006793075985345e+08 1.8981900390255693e+08 1.8952968458889148e+08 1.8922012220549777e+08 1.8888463841730660e+08 1.8851879960087821e+08 1.8811721733328542e+08 1.8767382209138510e+08 1.8717606477058020e+08 1.8664401397492900e+08 1.8603053006402934e+08 1.8534282749940100e+08 1.8457094256111342e+08 1.8370415152293506e+08 1.8273139670723817e+08 1.8164158550817388e+08 1.8041876181573021e+08 1.7908293403101376e+08 1.7758489082254407e+08 1.7594078553790203e+08 1.7415441859211555e+08 1.7223979736863044e+08 1.7022075123071435e+08 1.6814263392793640e+08 1.6606954381050190e+08 1.6412887875568455e+08 1.6243603213588002e+08 1.6121880840398937e+08 1.6077712821662962e+08 1.6155821584430856e+08 1.6420176513422814e+08 1.6967783913759336e+08 1.7951972058490616e+08 1.9634285334249789e+08 3.8310660031583315e+08 +2.9567855951984345e+00 -2.1468544699940988e+08 -2.1464687912484634e+08 -2.1458436975198010e+08 -2.1450357054112422e+08 -2.1442377173351696e+08 -2.1437535465486604e+08 -2.1437185250911474e+08 -2.1439023899258441e+08 -2.1440700589617935e+08 -2.1441711935049146e+08 -2.1442295983089313e+08 -2.1442444478513351e+08 -2.1442043242094421e+08 -2.1441003926346445e+08 -2.1439251227052456e+08 -2.1436679383617821e+08 -2.1433164584127632e+08 -2.1428573531721112e+08 -2.1422750738558549e+08 -2.1415507332247573e+08 -2.1406616851580265e+08 -2.1395795542954540e+08 -2.1382591163979071e+08 -2.1366211016351333e+08 -2.1346106916031611e+08 -2.1322051458106327e+08 -2.1293399826514882e+08 -2.1259276543604401e+08 -2.1218665563574654e+08 -2.1170356622708017e+08 -2.1112898911098605e+08 -2.1044548200927669e+08 -2.0963203236500004e+08 -2.0866327436357608e+08 -2.0750854808565095e+08 -2.0613071914480773e+08 -2.0448478943371585e+08 -2.0251622411964041e+08 -2.0015903929911530e+08 -1.9733359845970923e+08 -1.9366626405816239e+08 -1.8920549793073604e+08 -1.8378211987393206e+08 -1.7719883122241455e+08 -1.6923215357434601e+08 -1.5963950827989337e+08 -1.4817400198231840e+08 -1.3460939866140878e+08 -1.1877663625060596e+08 -1.0061079100267850e+08 -8.0211351316133022e+07 -5.7848612331413291e+07 -3.3974376198674925e+07 -9.2665344269556534e+06 1.5509263457876446e+07 3.9582588793128319e+07 6.2275274821627893e+07 8.3081101036873534e+07 1.0168942894723415e+08 1.1800858215276201e+08 1.3207297798263302e+08 1.4405228375239047e+08 1.5413725858069053e+08 1.6258063776834717e+08 1.6959013901175338e+08 1.7536021977446526e+08 1.8008314962360889e+08 1.8388682096856228e+08 1.8688789595911476e+08 1.8920263643299416e+08 1.9089632607205299e+08 1.9207806737947613e+08 1.9282258370903167e+08 1.9322463830474496e+08 1.9336600531826904e+08 1.9330680892020163e+08 1.9313477567988956e+08 1.9290647116328880e+08 1.9263698220782924e+08 1.9242880497904301e+08 1.9221289076161367e+08 1.9199012055393502e+08 1.9175586526731962e+08 1.9151392642498642e+08 1.9125370597367424e+08 1.9100314880571437e+08 1.9071203161763629e+08 1.9040054504553843e+08 1.9006297532544881e+08 1.8969486116876522e+08 1.8929078053458527e+08 1.8884462602812910e+08 1.8834379823473403e+08 1.8780835208215436e+08 1.8719104788142359e+08 1.8649906196342903e+08 1.8572236843876511e+08 1.8485017667656821e+08 1.8387136000323680e+08 1.8277475660669559e+08 1.8154433778995991e+08 1.8020010316405028e+08 1.7869272118189928e+08 1.7703836581829804e+08 1.7524086119937038e+08 1.7331430207008436e+08 1.7128266644119167e+08 1.6919159100256160e+08 1.6710559877226263e+08 1.6515275969961479e+08 1.6344935862662333e+08 1.6222454743820944e+08 1.6178014191847661e+08 1.6256610853414616e+08 1.6522614333327094e+08 1.7073637351308638e+08 1.8063968396008962e+08 1.9756766531245703e+08 3.8303140123555857e+08 +2.9617539179726928e+00 -2.1380326224492621e+08 -2.1376483574231285e+08 -2.1370255572401175e+08 -2.1362204688574517e+08 -2.1354250621403304e+08 -2.1349419120261398e+08 -2.1349058230362496e+08 -2.1350874670036745e+08 -2.1352526526462787e+08 -2.1353511591355360e+08 -2.1354066151157960e+08 -2.1354181136118138e+08 -2.1353741834314191e+08 -2.1352659055367625e+08 -2.1350856428791970e+08 -2.1348227021802011e+08 -2.1344645573550338e+08 -2.1339976985566857e+08 -2.1334063639374539e+08 -2.1326714177646449e+08 -2.1317699226361939e+08 -2.1306731649609858e+08 -2.1293355053418806e+08 -2.1276769775660163e+08 -2.1256416906028330e+08 -2.1232062392501834e+08 -2.1203057205976409e+08 -2.1168518247485250e+08 -2.1127419216452920e+08 -2.1078537775449476e+08 -2.1020409183834323e+08 -2.0951273224246094e+08 -2.0869010371886876e+08 -2.0771063281233633e+08 -2.0654342513850179e+08 -2.0515108386869556e+08 -2.0348832028821179e+08 -2.0150028243657613e+08 -1.9912064691875011e+08 -1.9626942372665688e+08 -1.9257026965115547e+08 -1.8807301960326108e+08 -1.8260815957641584e+08 -1.7597820056782585e+08 -1.6795970927649993e+08 -1.5831050430814037e+08 -1.4678457588968143e+08 -1.3315718919705586e+08 -1.1726148876837955e+08 -9.9035461621623874e+07 -7.8582037772458702e+07 -5.6175087613160409e+07 -3.2269572201972954e+07 -7.5455830440056482e+06 1.7230468043614082e+07 4.1289058005735435e+07 6.3954300569343507e+07 8.4723170505580828e+07 1.0328849385139166e+08 1.1956183542818284e+08 1.3358023390514475e+08 1.4551530738269311e+08 1.5555905626513296e+08 1.6396496320143139e+08 1.7094104493405515e+08 1.7668179798123574e+08 1.8137938300634718e+08 1.8516146290021029e+08 1.8814438608756208e+08 1.9044412805103868e+08 1.9212563313829234e+08 1.9329768052510250e+08 1.9403465518089604e+08 1.9443098927163044e+08 1.9456805075995690e+08 1.9450558619460350e+08 1.9433099366875470e+08 1.9410055553920785e+08 1.9382912433495238e+08 1.9361959563213992e+08 1.9340232432416376e+08 1.9317817265046501e+08 1.9294247163579169e+08 1.9269904174841234e+08 1.9243724594839296e+08 1.9218506147054756e+08 1.9189214980385783e+08 1.9157874267665350e+08 1.9123909096347901e+08 1.9086870576183799e+08 1.9046213147724873e+08 1.9001322291381541e+08 1.8950933046826231e+08 1.8897049528780228e+08 1.8834937800530419e+08 1.8765311681491640e+08 1.8687162377421468e+08 1.8599404147512695e+08 1.8500917437713429e+08 1.8390579159295759e+08 1.8266779200025645e+08 1.8131516631213954e+08 1.7979846316669303e+08 1.7813387705223104e+08 1.7632525576150686e+08 1.7438678123633745e+08 1.7234257985427874e+08 1.7023857071241927e+08 1.6813970071959236e+08 1.6617471051497146e+08 1.6446077489074901e+08 1.6322839055467889e+08 1.6278126486820668e+08 1.6357210128015393e+08 1.6624859050602698e+08 1.7179291246927410e+08 1.8175753614610559e+08 1.9879016834847048e+08 3.8295351994388056e+08 +2.9667222407469511e+00 -2.1291575502090737e+08 -2.1287747287337673e+08 -2.1281542500947440e+08 -2.1273520421979302e+08 -2.1265592210402793e+08 -2.1260770902087474e+08 -2.1260399343857062e+08 -2.1262193546599594e+08 -2.1263820545718965e+08 -2.1264779309753424e+08 -2.1265304362464038e+08 -2.1265385819030115e+08 -2.1264908435078833e+08 -2.1263782178634337e+08 -2.1261929612217286e+08 -2.1259242631498900e+08 -2.1255594526489899e+08 -2.1250848397608787e+08 -2.1244844495819992e+08 -2.1237388979305813e+08 -2.1228249561504304e+08 -2.1217135725234824e+08 -2.1203586926676583e+08 -2.1186796543102604e+08 -2.1166194938273108e+08 -2.1141541413466793e+08 -2.1112182731778011e+08 -2.1077228179166287e+08 -2.1035641208037677e+08 -2.0986187417380089e+08 -2.0927388149674058e+08 -2.0857467216823885e+08 -2.0774286850430951e+08 -2.0675268975503194e+08 -2.0557300753507021e+08 -2.0416616319977647e+08 -2.0248657826368135e+08 -2.0047908475303721e+08 -1.9807702125519678e+08 -1.9520004620107755e+08 -1.9146911676273385e+08 -1.8693544303440747e+08 -1.8142918239131433e+08 -1.7475266198039740e+08 -1.6668250145223323e+08 -1.5697692572626802e+08 -1.4539081836510137e+08 -1.3170095513318250e+08 -1.1574269449534111e+08 -9.7456937181012467e+07 -7.6950050791463345e+07 -5.4499468312078133e+07 -3.0563288187596925e+07 -5.8237732335893754e+06 1.8951933325839624e+07 4.2995241693109050e+07 6.5632565858418442e+07 8.6364085419850767e+07 1.0488609081443779e+08 1.2111338055719803e+08 1.3508560336672643e+08 1.4697631551568115e+08 1.5697874716536418e+08 1.6534711829100412e+08 1.7228973700545493e+08 1.7800113307360843e+08 1.8267335387865603e+08 1.8643382989268422e+08 1.8939859378524876e+08 1.9168333314568272e+08 1.9335265215935689e+08 1.9451500582397282e+08 1.9524444026020440e+08 1.9563505608048910e+08 1.9576781480298993e+08 1.9570208524589992e+08 1.9552493673871461e+08 1.9529236830638230e+08 1.9501899826315677e+08 1.9480812059088978e+08 1.9458949475177860e+08 1.9436396423663142e+08 1.9412682024815500e+08 1.9388190215846631e+08 1.9361853403989735e+08 1.9336472527596751e+08 1.9307002255154479e+08 1.9275469853006390e+08 1.9241296879137862e+08 1.9204031687269619e+08 1.9163125368848017e+08 1.9117959631473830e+08 1.9067264508042043e+08 1.9013042724908578e+08 1.8950550414620855e+08 1.8880497582413748e+08 1.8801869240583467e+08 1.8713572983249101e+08 1.8614482382801446e+08 1.8503467456128567e+08 1.8378910864769864e+08 1.8242810779418799e+08 1.8090210122703856e+08 1.7922730383372042e+08 1.7740758702887055e+08 1.7545721978489113e+08 1.7340047656428871e+08 1.7128355833398956e+08 1.6917183510980594e+08 1.6719471683036587e+08 1.6547026670494178e+08 1.6423032363599610e+08 1.6378048298663121e+08 1.6457617993490472e+08 1.6726909227401161e+08 1.7284744114816013e+08 1.8287326142277420e+08 2.0001034525862414e+08 3.8287296594949168e+08 +2.9716905635212094e+00 -2.1202294776081702e+08 -2.1198480642272350e+08 -2.1192299276139078e+08 -2.1184306171499169e+08 -2.1176404004222915e+08 -2.1171592958782446e+08 -2.1171210739188954e+08 -2.1172982673383909e+08 -2.1174584789599785e+08 -2.1175517233138674e+08 -2.1176012760431767e+08 -2.1176060671511257e+08 -2.1175545189733368e+08 -2.1174375442787349e+08 -2.1172472925439966e+08 -2.1169728362552860e+08 -2.1166013594813532e+08 -2.1161189922126678e+08 -2.1155095465093571e+08 -2.1147533897729906e+08 -2.1138270021436474e+08 -2.1127009938902792e+08 -2.1113288958312967e+08 -2.1096293499897212e+08 -2.1075443202021945e+08 -2.1050490719902965e+08 -2.1020778614147279e+08 -2.0985408562343401e+08 -2.0943333777774578e+08 -2.0893307806461075e+08 -2.0833838088281929e+08 -2.0763132483781135e+08 -2.0679035007053244e+08 -2.0578946888786840e+08 -2.0459731937722743e+08 -2.0317598171148148e+08 -2.0147958848085761e+08 -1.9945265682334986e+08 -1.9702818879301852e+08 -1.9412549320552590e+08 -1.9036283374776870e+08 -1.8579279775822926e+08 -1.8024521918530980e+08 -1.7352224781176513e+08 -1.6540056407556418e+08 -1.5563880823691219e+08 -1.4399276688869351e+08 -1.3024073568879534e+08 -1.1422029422998635e+08 -9.5875259751402512e+07 -7.5315433248557433e+07 -5.2821797498579726e+07 -2.8855566720766563e+07 -4.1011463485180419e+06 2.0673619785249371e+07 4.4701102624362379e+07 6.7310035994421840e+07 8.8003813666421935e+07 1.0648219018525928e+08 1.2266319012442224e+08 1.3658906090981454e+08 1.4843528436350495e+08 1.5839630889237398e+08 1.6672708180732229e+08 1.7363619494915083e+08 1.7931820555447030e+08 1.8396504337813258e+08 1.8770390359785679e+08 1.9065050111727342e+08 1.9292023411096001e+08 1.9457736578670669e+08 1.9573002612613827e+08 1.9645192194621560e+08 1.9683682183926675e+08 1.9696528063379931e+08 1.9689628931573230e+08 1.9671658817281353e+08 1.9648189278006366e+08 1.9620658733558327e+08 1.9599436321764502e+08 1.9577438542578843e+08 1.9554747871325254e+08 1.9530889452518854e+08 1.9506249109653115e+08 1.9479755371166068e+08 1.9454212370858639e+08 1.9424563337222084e+08 1.9392839614400101e+08 1.9358459237699437e+08 1.9320967810007769e+08 1.9279813080226403e+08 1.9234372990305296e+08 1.9183372578637713e+08 1.9128813172840554e+08 1.9065941012015170e+08 1.8995462286679071e+08 1.8916355827612612e+08 1.8827522576654509e+08 1.8727829245839468e+08 1.8616138970887139e+08 1.8490827203520700e+08 1.8353891203069830e+08 1.8200361991332656e+08 1.8031863085641104e+08 1.7848783985022581e+08 1.7652560273130906e+08 1.7445634176244825e+08 1.7232653923887351e+08 1.7020198749453628e+08 1.6821276436719498e+08 1.6647781993771130e+08 1.6523033265701461e+08 1.6477778228634652e+08 1.6557833044305426e+08 1.6828763435148725e+08 1.7389994478775278e+08 1.8398684417116636e+08 2.0122817896232334e+08 3.8278974877402121e+08 +2.9766588862954677e+00 -2.1112486264086020e+08 -2.1108686487457886e+08 -2.1102528503641114e+08 -2.1094564397897208e+08 -2.1086688174968055e+08 -2.1081887444994298e+08 -2.1081494571196824e+08 -2.1083244205741739e+08 -2.1084821412121162e+08 -2.1085727515954524e+08 -2.1086193500058585e+08 -2.1086207849361813e+08 -2.1085654255241507e+08 -2.1084441006034705e+08 -2.1082488528170341e+08 -2.1079686376450121e+08 -2.1075904942036647e+08 -2.1071003725041786e+08 -2.1064818715887612e+08 -2.1057151104938272e+08 -2.1047762782154354e+08 -2.1036356471286798e+08 -2.1022463334530678e+08 -2.1005262838767242e+08 -2.0984163898011962e+08 -2.0958912522159940e+08 -2.0928847074841884e+08 -2.0893061632157186e+08 -2.0850499176542109e+08 -2.0799901212035027e+08 -2.0739761290680617e+08 -2.0668271341521263e+08 -2.0583257187803802e+08 -2.0482099401864484e+08 -2.0361638487691501e+08 -2.0218056408625567e+08 -2.0046737616821259e+08 -1.9842102450721854e+08 -1.9597417611972737e+08 -1.9304579216236860e+08 -1.8925144905639809e+08 -1.8464511339956644e+08 -1.7905630090905488e+08 -1.7228699048918787e+08 -1.6411393118626913e+08 -1.5429618759585881e+08 -1.4259045897786564e+08 -1.2877657010164547e+08 -1.1269432876809712e+08 -9.4290471376576036e+07 -7.3678227966784850e+07 -5.1142118164963156e+07 -2.7146450264597520e+07 -2.3777436188457240e+06 2.2395488041139133e+07 4.6406603717582047e+07 6.8986676437083721e+07 8.9642323286923558e+07 1.0807676246554872e+08 1.2421123686336249e+08 1.3809058122028413e+08 1.4989219027659038e+08 1.5981171919094434e+08 1.6810483264951679e+08 1.7498039861335722e+08 1.8063299604801473e+08 1.8525443276135355e+08 1.8897166578379276e+08 1.9190009026335403e+08 1.9415481345385984e+08 1.9579975678437260e+08 1.9694272439275944e+08 1.9765708334880400e+08 1.9803626976600912e+08 1.9816043154786918e+08 1.9808818175549901e+08 1.9790593136271533e+08 1.9766911238413221e+08 1.9739187500395498e+08 1.9717830698301929e+08 1.9695697983587533e+08 1.9672869958926138e+08 1.9648867799580604e+08 1.9624079211230236e+08 1.9597428853514853e+08 1.9571724036234295e+08 1.9541896588497207e+08 1.9509981916420323e+08 1.9475394539458552e+08 1.9437677315052310e+08 1.9396274655920586e+08 1.9350560745781645e+08 1.9299255640740407e+08 1.9244359259474891e+08 1.9181107984839314e+08 1.9110204192396137e+08 1.9030620543265721e+08 1.8941251339955691e+08 1.8840956447427249e+08 1.8728592133611161e+08 1.8602526656831869e+08 1.8464756354369715e+08 1.8310300387744829e+08 1.8140784291366604e+08 1.7956599917347553e+08 1.7759191518870309e+08 1.7551016073616910e+08 1.7336749889414611e+08 1.7123014351938277e+08 1.6922883893992636e+08 1.6748342054972401e+08 1.6622840368352541e+08 1.6577314887093046e+08 1.6657853884022498e+08 1.6930420254618472e+08 1.7495040872261462e+08 1.8509826887473190e+08 2.0244365249036872e+08 3.8270387795170707e+08 +2.9816272090697260e+00 -2.1022151839326891e+08 -2.1018366556449363e+08 -2.1012232066497120e+08 -2.1004297071582490e+08 -2.0996446868994287e+08 -2.0991656517639756e+08 -2.0991253001163688e+08 -2.0992980309027380e+08 -2.0994532578619358e+08 -2.0995412324057594e+08 -2.0995848747842517e+08 -2.0995829519888604e+08 -2.0995237800065851e+08 -2.0993981038109633e+08 -2.0991978591619515e+08 -2.0989118846142325e+08 -2.0985270743121597e+08 -2.0980291983717439e+08 -2.0974016428453514e+08 -2.0966242784500992e+08 -2.0956730031125942e+08 -2.0945177514466569e+08 -2.0931112252917850e+08 -2.0913706763942248e+08 -2.0892359238461587e+08 -2.0866809042035198e+08 -2.0836390346992612e+08 -2.0800189635078257e+08 -2.0757139666509020e+08 -2.0705969914735091e+08 -2.0645160059089372e+08 -2.0572886117581227e+08 -2.0486955749900985e+08 -2.0384728906528860e+08 -2.0263022835565326e+08 -2.0117993511427924e+08 -1.9944996666021425e+08 -1.9738421376878989e+08 -1.9491500992472231e+08 -1.9196097059275278e+08 -1.8813499123425043e+08 -1.8349241967214480e+08 -1.7786245859639549e+08 -1.7104692251433459e+08 -1.6282263688825735e+08 -1.5294909960980538e+08 -1.4118393218618134e+08 -1.2730849762662269e+08 -1.1116483890127835e+08 -9.2702614072279483e+07 -7.2038477715657234e+07 -4.9460473224351309e+07 -2.5435981179000933e+07 -6.5360615096089814e+05 2.4117498852109905e+07 4.8111708040394917e+07 7.0662452800726607e+07 9.1279582478533357e+07 1.0966977830990207e+08 1.2575749365608519e+08 1.3959013912766653e+08 1.5134700974351734e+08 1.6122495593895718e+08 1.6948034984525737e+08 1.7632232797095913e+08 1.8194548530046746e+08 1.8654150340367782e+08 1.9023709833533007e+08 1.9314734351799557e+08 1.9538705379497412e+08 1.9701980802810252e+08 1.9815308369627023e+08 1.9885990768774498e+08 1.9923338318846220e+08 1.9935325095037401e+08 1.9927774602536249e+08 1.9909294980926737e+08 1.9885401065107888e+08 1.9857484482855603e+08 1.9835993546612009e+08 1.9813726157990593e+08 1.9790761048144934e+08 1.9766615429685974e+08 1.9741678886328292e+08 1.9714872218941301e+08 1.9689005893890741e+08 1.9659000381626508e+08 1.9626895134347403e+08 1.9592101162588933e+08 1.9554158583651969e+08 1.9512508480689588e+08 1.9466521286403257e+08 1.9414912087104481e+08 1.9359679382203898e+08 1.9296049735790551e+08 1.9224721708101660e+08 1.9144661802743936e+08 1.9054757695808959e+08 1.8953862418578824e+08 1.8840825384597689e+08 1.8714007675476828e+08 1.8575404695675865e+08 1.8420023787118062e+08 1.8249492489867112e+08 1.8064205004513383e+08 1.7865614236788726e+08 1.7656191886933917e+08 1.7440642286210966e+08 1.7225628892438745e+08 1.7024292645644131e+08 1.6848705459401622e+08 1.6722452287268150e+08 1.6676656893518117e+08 1.6757679125411665e+08 1.7031878275858545e+08 1.7599881838300940e+08 1.8620752011837387e+08 2.0365674898489958e+08 3.8261536302907258e+08 +2.9865955318439843e+00 -2.0931294169169781e+08 -2.0927523290713352e+08 -2.0921412143124774e+08 -2.0913506298080072e+08 -2.0905682304502785e+08 -2.0900902350863516e+08 -2.0900488199109361e+08 -2.0902193158339182e+08 -2.0903720465768757e+08 -2.0904573834612629e+08 -2.0904980681685445e+08 -2.0904927861854357e+08 -2.0904298004096594e+08 -2.0902997720147434e+08 -2.0900945298428404e+08 -2.0898027955982679e+08 -2.0894113184462962e+08 -2.0889056886945131e+08 -2.0882690794345245e+08 -2.0874811131283918e+08 -2.0865173967207128e+08 -2.0853475271929356e+08 -2.0839237922438374e+08 -2.0821627490944800e+08 -2.0800031446828729e+08 -2.0774182512612030e+08 -2.0743410675008392e+08 -2.0706794828846988e+08 -2.0663257521073127e+08 -2.0611516206309247e+08 -2.0550036706868222e+08 -2.0476979150614330e+08 -2.0390133061510745e+08 -2.0286837805437943e+08 -2.0163887424199721e+08 -2.0017411969253153e+08 -1.9842738539623943e+08 -1.9634225067489561e+08 -1.9385071699748364e+08 -1.9087105611498368e+08 -1.8701348891912782e+08 -1.8233474637808350e+08 -1.7666372336198422e+08 -1.6980207646203059e+08 -1.6152671534772986e+08 -1.5159758013536325e+08 -1.3977322410077140e+08 -1.2583655753430025e+08 -1.0963186541539180e+08 -9.1111729824371815e+07 -7.0396225209330484e+07 -4.7776905509160049e+07 -2.3724201719554316e+07 1.0712250732930121e+06 2.5839613116776098e+07 4.9816378810534731e+07 7.2337330854513377e+07 9.2915559593857512e+07 1.1126120852580519e+08 1.2730193353343391e+08 1.4108770960502681e+08 1.5279971939138493e+08 1.6263599714759153e+08 1.7085361255159807e+08 1.7766196312007540e+08 1.8325565417940399e+08 1.8782623679935765e+08 1.9150018325403741e+08 1.9439224329056391e+08 1.9661693786793041e+08 1.9823750250577530e+08 1.9936108722035971e+08 2.0006037829349998e+08 2.0042814554399893e+08 2.0054372235595670e+08 2.0046496569468933e+08 2.0027762712212595e+08 2.0003657122222021e+08 1.9975548047830710e+08 1.9953923235475850e+08 1.9931521436445841e+08 1.9908419511512318e+08 1.9884130717361024e+08 1.9859046511501944e+08 1.9832083846154663e+08 1.9806056324805710e+08 1.9775873099994734e+08 1.9743577654219809e+08 1.9708577495955583e+08 1.9670410007820892e+08 1.9628512949907315e+08 1.9582253011380216e+08 1.9530340321074307e+08 1.9474771949081770e+08 1.9410764678139493e+08 1.9339013252945143e+08 1.9258478031725621e+08 1.9168040077243102e+08 1.9066545600617078e+08 1.8952837174507505e+08 1.8825268720458946e+08 1.8685834699516284e+08 1.8529530674748141e+08 1.8357986180444467e+08 1.8171597761026961e+08 1.7971826957719836e+08 1.7761160164268601e+08 1.7544329680059102e+08 1.7328040954345113e+08 1.7125501291705629e+08 1.6948870821546397e+08 1.6821867647322670e+08 1.6775802876486695e+08 1.6857307390393332e+08 1.7133136098265427e+08 1.7704515929609534e+08 1.8731458258890221e+08 2.0486745169942921e+08 3.8252421356460327e+08 +2.9915638546182426e+00 -2.0839915090702558e+08 -2.0836158637346905e+08 -2.0830071066733983e+08 -2.0822194390946835e+08 -2.0814396683452022e+08 -2.0809627137334999e+08 -2.0809202346889165e+08 -2.0810884939006013e+08 -2.0812387261270425e+08 -2.0813214236080074e+08 -2.0813591490771896e+08 -2.0813505065326777e+08 -2.0812837058488011e+08 -2.0811493244567382e+08 -2.0809390842460373e+08 -2.0806415901566455e+08 -2.0802434463680208e+08 -2.0797300634763077e+08 -2.0790844016440895e+08 -2.0782858351443744e+08 -2.0773096800460896e+08 -2.0761251958404037e+08 -2.0746842563250718e+08 -2.0729027246482855e+08 -2.0707182757846752e+08 -2.0681035178121293e+08 -2.0649910314427057e+08 -2.0612879482320294e+08 -2.0568855024747169e+08 -2.0516542389637181e+08 -2.0454393558408847e+08 -2.0380552790158379e+08 -2.0292791501647317e+08 -2.0188428512084365e+08 -2.0064234707179061e+08 -1.9916314282284340e+08 -1.9739965791937780e+08 -1.9529516139381629e+08 -1.9278132422652787e+08 -1.8977607644334623e+08 -1.8588697084090364e+08 -1.8117212340532061e+08 -1.7546012640047154e+08 -1.6855248497814053e+08 -1.6022620079227811e+08 -1.5024166507732835e+08 -1.3835837234190005e+08 -1.2436078910934927e+08 -1.0809544908856940e+08 -8.9517860587577984e+07 -6.8751513105658904e+07 -4.6091457770099826e+07 -2.2011154036517344e+07 2.7967091974980230e+06 2.7561791874430124e+07 5.1520579396196492e+07 7.4011276523170695e+07 9.4550223141218543e+07 1.1285102407457530e+08 1.2884452967502975e+08 1.4258326776911527e+08 1.5425029598552442e+08 1.6404482096140233e+08 1.7222460005358893e+08 1.7899928428344780e+08 1.8456348367416820e+08 1.8910861456145906e+08 1.9276090265775394e+08 1.9563477210495344e+08 1.9784444851972830e+08 1.9945282331723195e+08 2.0056671825958455e+08 2.0125847860687524e+08 2.0162054038044560e+08 2.0173182938859838e+08 2.0164982444217494e+08 2.0145994701975873e+08 2.0121677784769240e+08 2.0093376573047349e+08 2.0071618144479167e+08 2.0049082200363037e+08 2.0025843732371968e+08 2.0001412047889152e+08 1.9976180474079397e+08 1.9949062124622980e+08 1.9922873720651364e+08 1.9892513137756503e+08 1.9860027872813356e+08 1.9824821939159083e+08 1.9786429990226218e+08 1.9744286469654915e+08 1.9697754330499360e+08 1.9645538756656757e+08 1.9589635378703126e+08 1.9525251235664669e+08 1.9453077256510612e+08 1.9372067666317198e+08 1.9281096927741456e+08 1.9179004445237443e+08 1.9064625964252430e+08 1.8936308263005945e+08 1.8796044848553565e+08 1.8638819545984533e+08 1.8466263872367585e+08 1.8278776711292291e+08 1.8077828222291610e+08 1.7865919463328993e+08 1.7647810646267590e+08 1.7430249130499548e+08 1.7226508441559449e+08 1.7048836765114430e+08 1.6921085082536104e+08 1.6874751473699042e+08 1.6956737310036871e+08 1.7234192330511308e+08 1.7808941708447295e+08 1.8841944107506189e+08 2.0607574399855387e+08 3.8243043912842649e+08 +2.9965321773925009e+00 -2.0748016869414255e+08 -2.0744274971792707e+08 -2.0738210991799983e+08 -2.0730363592239064e+08 -2.0722592195212817e+08 -2.0717833083367041e+08 -2.0717397639875090e+08 -2.0719057847308314e+08 -2.0720535163836032e+08 -2.0721335728088403e+08 -2.0721683375472134e+08 -2.0721563331538099e+08 -2.0720857165624538e+08 -2.0719469814945012e+08 -2.0717317428810090e+08 -2.0714284889679861e+08 -2.0710236789566681e+08 -2.0705025438335469e+08 -2.0698478308725297e+08 -2.0690386662288010e+08 -2.0680500752107105e+08 -2.0668509799686420e+08 -2.0653928406668437e+08 -2.0635908268404394e+08 -2.0613815417269847e+08 -2.0587369293903577e+08 -2.0555891531840533e+08 -2.0518445875347632e+08 -2.0473934472967693e+08 -2.0421050778452426e+08 -2.0358232948892283e+08 -2.0283609396600351e+08 -2.0194933460135105e+08 -2.0089503450533682e+08 -1.9964067148600459e+08 -1.9814702961154625e+08 -1.9636680987491566e+08 -1.9424297219432974e+08 -1.9170685859893274e+08 -1.8867605938678864e+08 -1.8475546582002443e+08 -1.8000458072729173e+08 -1.7425169898475710e+08 -1.6729818077876970e+08 -1.5892112750839561e+08 -1.4888139038720965e+08 -1.3693941456033212e+08 -1.2288123164866866e+08 -1.0655563069052313e+08 -8.7921048284009039e+07 -6.7104384004549146e+07 -4.4404172674872220e+07 -2.0296880173717216e+07 4.5228054915255299e+06 2.9283996305657100e+07 5.3224273316682316e+07 7.5684255886777848e+07 9.6183541785147160e+07 1.1443919607022418e+08 1.3038525540965520e+08 1.4407678888042301e+08 1.5569871642968714e+08 1.6545140565833405e+08 1.7359329176588437e+08 1.8033427180894232e+08 1.8586895489548743e+08 1.9038861842202193e+08 1.9401923878118187e+08 1.9687491259984079e+08 1.9906956871013591e+08 2.0066575367450777e+08 2.0176996021945605e+08 2.0245419217927757e+08 2.0281055135518229e+08 2.0291755578181326e+08 2.0283230605558345e+08 2.0263989332979065e+08 2.0239461438637510e+08 2.0210968447114682e+08 2.0189076664067939e+08 2.0166406842062536e+08 2.0143032104885852e+08 2.0118457817390448e+08 2.0093079172185260e+08 2.0065805454585919e+08 2.0039456483902708e+08 2.0008918899804845e+08 1.9976244197561160e+08 1.9940832902488849e+08 1.9902216944233012e+08 1.9859827456665826e+08 1.9813023664224958e+08 1.9760505818414855e+08 1.9704268100231013e+08 1.9639507842684472e+08 1.9566912158903855e+08 1.9485429153158888e+08 1.9393926701195180e+08 1.9291237414508665e+08 1.9176190225048500e+08 1.9047124784582219e+08 1.8906033635599253e+08 1.8747888906243232e+08 1.8574324084884903e+08 1.8385740389573124e+08 1.8183616580846265e+08 1.7970468351470092e+08 1.7751083769663227e+08 1.7532252023124847e+08 1.7327312713886032e+08 1.7148601923020348e+08 1.7020103236037284e+08 1.6973501331980714e+08 1.7055967524577323e+08 1.7335045590591091e+08 1.7913157746757564e+08 1.8952208046695626e+08 2.0728160935851806e+08 3.8233404930199146e+08 +3.0015005001667592e+00 -2.0655601959969202e+08 -2.0651874405585369e+08 -2.0645833958996153e+08 -2.0638016075317970e+08 -2.0630270997493809e+08 -2.0625522397873592e+08 -2.0625076286997816e+08 -2.0626714091206008e+08 -2.0628166383162829e+08 -2.0628940521364269e+08 -2.0629258547202232e+08 -2.0629104872870627e+08 -2.0628360538902920e+08 -2.0626929645933938e+08 -2.0624727273589042e+08 -2.0621637138130799e+08 -2.0617522381976518e+08 -2.0612233519912201e+08 -2.0605595896223840e+08 -2.0597398292133865e+08 -2.0587388054391322e+08 -2.0575251032651010e+08 -2.0560497694988886e+08 -2.0542272805533481e+08 -2.0519931681865194e+08 -2.0493187126187673e+08 -2.0461356604771215e+08 -2.0423496298701161e+08 -2.0378498172032189e+08 -2.0325043697368082e+08 -2.0261557224361384e+08 -2.0186151341020760e+08 -2.0096561337332854e+08 -1.9990065055450431e+08 -1.9863387223009899e+08 -1.9712580526749262e+08 -1.9532886700930947e+08 -1.9318570944418114e+08 -1.9062734719689998e+08 -1.8757103284727642e+08 -1.8361900276569211e+08 -1.7883214840099004e+08 -1.7303847246479747e+08 -1.6603919664852300e+08 -1.5761152984141639e+08 -1.4751679206144416e+08 -1.3551638843660596e+08 -1.2139792446063298e+08 -1.0501245098025422e+08 -8.6321334801585212e+07 -6.5454880446802616e+07 -4.2715092806870334e+07 -1.8581422067541182e+07 6.2494733523950567e+06 3.1006187733137269e+07 5.4927424242738523e+07 7.7356235181552008e+07 9.7815484346240774e+07 1.1602569578055245e+08 1.3192408421506532e+08 1.4556824834330288e+08 1.5714495776588306e+08 1.6685572964948300e+08 1.7495966723150864e+08 1.8166690616922155e+08 1.8717204907574451e+08 1.9166623023149371e+08 1.9527517397521412e+08 1.9811264752863035e+08 2.0029228151256168e+08 2.0187627690157279e+08 2.0297079661695814e+08 2.0364750267207998e+08 2.0399816223517802e+08 2.0410088537851280e+08 2.0401239443164262e+08 2.0381744998859647e+08 2.0357006480547559e+08 2.0328322069478405e+08 2.0306297195517856e+08 2.0283493764635625e+08 2.0259983033997083e+08 2.0235266432772812e+08 2.0209741014703062e+08 2.0182312247051558e+08 2.0155803027762005e+08 2.0125088801748344e+08 2.0092225046701521e+08 2.0056608806940857e+08 2.0017769293862876e+08 1.9975134338300511e+08 1.9928059443638137e+08 1.9875239941549423e+08 1.9818668553432441e+08 1.9753532944092008e+08 1.9680516410748091e+08 1.9598560949277678e+08 1.9506527861863878e+08 1.9403242980843201e+08 1.9287528438418764e+08 1.9157716776866144e+08 1.9015799563637218e+08 1.8856737270998648e+08 1.8682165347195664e+08 1.8492487340013307e+08 1.8289190593553260e+08 1.8074805405691385e+08 1.7854147644611844e+08 1.7634048243868065e+08 1.7427912736661330e+08 1.7248164937369385e+08 1.7118920760114974e+08 1.7072051107266608e+08 1.7154996683402100e+08 1.7435694505816805e+08 1.8017162626055273e+08 1.9062248575689161e+08 2.0848503136657935e+08 3.8223505367775315e+08 +3.0064688229410175e+00 -2.0562672142937052e+08 -2.0558959313102335e+08 -2.0552942449922770e+08 -2.0545153923973790e+08 -2.0537435320430744e+08 -2.0532697295110467e+08 -2.0532240510288072e+08 -2.0533855890538156e+08 -2.0535283139961430e+08 -2.0536030837604728e+08 -2.0536319228301758e+08 -2.0536131912669343e+08 -2.0535349402731916e+08 -2.0533874963135377e+08 -2.0531622603880244e+08 -2.0528474875687540e+08 -2.0524293471702531e+08 -2.0518927112627566e+08 -2.0512199014920995e+08 -2.0503895480229777e+08 -2.0493760950471818e+08 -2.0481477905016571e+08 -2.0466552681386203e+08 -2.0448123117569628e+08 -2.0425533819214001e+08 -2.0398490952110356e+08 -2.0366307821559131e+08 -2.0328033053891873e+08 -2.0282548439032161e+08 -2.0228523481648725e+08 -2.0164368741444227e+08 -2.0088181005084604e+08 -1.9997677544182298e+08 -1.9890115771873924e+08 -1.9762197415192324e+08 -1.9609949510097814e+08 -1.9428585516910449e+08 -1.9212339960898784e+08 -1.8954281719887462e+08 -1.8646102481915849e+08 -1.8247761067474535e+08 -1.7765485656557629e+08 -1.7182047826568204e+08 -1.6477556543873131e+08 -1.5629744219222960e+08 -1.4614790613994926e+08 -1.3408933167930111e+08 -1.1991090686248764e+08 -1.0346595070497337e+08 -8.4718761992778331e+07 -6.3803044912559748e+07 -4.1024260664084256e+07 -1.6864821545849890e+07 7.9766723051175661e+06 3.2728327622158367e+07 5.6629995997314818e+07 7.9027180799899697e+07 9.9446019801411614e+07 1.1761049462716308e+08 1.3346098971782953e+08 1.4705762170577836e+08 1.5858899717460763e+08 1.6825777147932464e+08 1.7632370612244001e+08 1.8299716796186057e+08 1.8847274756932420e+08 1.9294143195952573e+08 1.9652869070749521e+08 1.9934795975921765e+08 2.0151257011353114e+08 2.0308437643435922e+08 2.0416921107974830e+08 2.0483839385697022e+08 2.0518335689731652e+08 2.0528180213101643e+08 2.0519007357640556e+08 2.0499260104134417e+08 2.0474311318097854e+08 2.0445435850435734e+08 2.0423278150958860e+08 2.0400341382025248e+08 2.0376694935500753e+08 2.0351836311736843e+08 2.0326164421353015e+08 2.0298580923817971e+08 2.0271911776209506e+08 2.0241021269947776e+08 2.0207968849129385e+08 2.0172148084208369e+08 2.0133085473866519e+08 2.0090205552633694e+08 2.0042860110465097e+08 1.9989739571853206e+08 1.9932835188666865e+08 1.9867324995282668e+08 1.9793888473166269e+08 1.9711461522206390e+08 1.9618898884486884e+08 1.9515019627014089e+08 1.9398639096160883e+08 1.9268082741793132e+08 1.9125341145759732e+08 1.8965363165808901e+08 1.8789786198506847e+08 1.8599016116614345e+08 1.8394548830272904e+08 1.8178929212640566e+08 1.7957000875007096e+08 1.7735636413809425e+08 1.7528307147158924e+08 1.7347524459496406e+08 1.7217536316209364e+08 1.7170399464581415e+08 1.7253823445069861e+08 1.7536137712793687e+08 1.8120954937488291e+08 1.9172064203853360e+08 2.0968599372123393e+08 3.8213346185885638e+08 +3.0114371457152758e+00 -2.0469229977200580e+08 -2.0465531644015160e+08 -2.0459538533471993e+08 -2.0451779481586882e+08 -2.0444087427638158e+08 -2.0439360004127401e+08 -2.0438892543776333e+08 -2.0440485476917061e+08 -2.0441887665904745e+08 -2.0442608909340110e+08 -2.0442867651998484e+08 -2.0442646685124388e+08 -2.0441825992348102e+08 -2.0440308002989686e+08 -2.0438005657582179e+08 -2.0434800341940320e+08 -2.0430552300330201e+08 -2.0425108460489205e+08 -2.0418289911558309e+08 -2.0409880476605833e+08 -2.0399621694267777e+08 -2.0387192675341186e+08 -2.0372095629835269e+08 -2.0353461474970871e+08 -2.0330624107694203e+08 -2.0303283059484968e+08 -2.0270747481200030e+08 -2.0232058453176257e+08 -2.0186087601677677e+08 -2.0131492477172336e+08 -2.0066669867346573e+08 -1.9989700780933896e+08 -1.9898284501974133e+08 -1.9789658055161682e+08 -1.9660500220191488e+08 -1.9506812452330032e+08 -1.9323780029911092e+08 -1.9105606925068828e+08 -1.8845329587669122e+08 -1.8534606338697985e+08 -1.8133131863048103e+08 -1.7647273544106346e+08 -1.7059774788663259e+08 -1.6350732006630576e+08 -1.5497889901725170e+08 -1.4477476870495859e+08 -1.3265828202296190e+08 -1.1842021817953967e+08 -1.0191617059835751e+08 -8.3113371672873303e+07 -6.2148919820067726e+07 -3.9331718657851145e+07 -1.5147120327019766e+07 9.7043620035208184e+06 3.4450377581346378e+07 5.8331952555586502e+07 8.0697059290843487e+07 1.0107511728451981e+08 1.1919356418512934e+08 1.3499594569393742e+08 1.4854488465943918e+08 1.6003081197481731e+08 1.6965750982579991e+08 1.7768538823934406e+08 1.8432503790937716e+08 1.8977103185120711e+08 1.9421420569461793e+08 1.9777977156207824e+08 2.0058083227413386e+08 2.0273041781245387e+08 2.0429003582053193e+08 2.0536518734679779e+08 2.0602684961636117e+08 2.0636611932857341e+08 2.0646029010095301e+08 2.0636532760476848e+08 2.0616533064196366e+08 2.0591374369796690e+08 2.0562308211083248e+08 2.0540017953328517e+08 2.0516948118977660e+08 2.0493166235978195e+08 2.0468165882785463e+08 2.0442347822604302e+08 2.0414609917436537e+08 2.0387781163972017e+08 2.0356714741518989e+08 2.0323474044522017e+08 2.0287449176688868e+08 2.0248163929633743e+08 2.0205039548368633e+08 2.0157424117027807e+08 2.0104003165729880e+08 2.0046766466814429e+08 1.9980882462237617e+08 1.9907026817757177e+08 1.9824129349890062e+08 1.9731038254145953e+08 1.9626565846128801e+08 1.9509520700382197e+08 1.9378221191467547e+08 1.9234656905236498e+08 1.9073765126249656e+08 1.8897185187935680e+08 1.8705325283251560e+08 1.8499689870661855e+08 1.8282838368596366e+08 1.8059642074267942e+08 1.7837015163375947e+08 1.7628494591957477e+08 1.7446679149915150e+08 1.7315948574827862e+08 1.7268545078073364e+08 1.7352446477252924e+08 1.7636373857415015e+08 1.8224533281816629e+08 1.9281653450744024e+08 2.1088448023237035e+08 3.8202928345882273e+08 +3.0164054684895341e+00 -2.0375277468265668e+08 -2.0371593777750507e+08 -2.0365624602584562e+08 -2.0357895078254834e+08 -2.0350229562703785e+08 -2.0345512771141019e+08 -2.0345034631615308e+08 -2.0346605093356910e+08 -2.0347982203682396e+08 -2.0348676979791945e+08 -2.0348906062154806e+08 -2.0348651435176656e+08 -2.0347792553732273e+08 -2.0346231012681374e+08 -2.0343878683325726e+08 -2.0340615787185237e+08 -2.0336301120200494e+08 -2.0330779818173292e+08 -2.0323870843635187e+08 -2.0315355542067116e+08 -2.0304972550457072e+08 -2.0292397612859604e+08 -2.0277128814959893e+08 -2.0258290158843872e+08 -2.0235204836295074e+08 -2.0207565746733561e+08 -2.0174677893326542e+08 -2.0135574819281685e+08 -2.0089117998148245e+08 -2.0033953040274486e+08 -1.9968462979634449e+08 -1.9890713071018896e+08 -1.9798384642273256e+08 -1.9688694370807084e+08 -1.9558298143029860e+08 -1.9403171904405478e+08 -1.9218472844174299e+08 -1.8998374502649960e+08 -1.8735881059502855e+08 -1.8422617672482032e+08 -1.8018015580104092e+08 -1.7528581532695696e+08 -1.6937031289989296e+08 -1.6223449351250055e+08 -1.5365593482638010e+08 -1.4339741587901348e+08 -1.3122327722740142e+08 -1.1692589774340375e+08 -1.0036315137927800e+08 -8.1505205618903950e+07 -6.0492547524450861e+07 -3.7637509111644261e+07 -1.3428360018859616e+07 1.1432502231095463e+07 3.6172299363252610e+07 6.0033258045855656e+07 8.2365837360421434e+07 1.0270274608598077e+08 1.2077487618350409e+08 1.3652892606866971e+08 1.5003001303996548e+08 1.6147037962353677e+08 1.7105492349996954e+08 1.7904469351165020e+08 1.8565049685886008e+08 1.9106688351870617e+08 1.9548453364346030e+08 1.9902839923957330e+08 2.0181124817084387e+08 2.0394580802200350e+08 2.0549323871980581e+08 2.0655870926780185e+08 2.0721285394261876e+08 2.0754643362519768e+08 2.0763633345918274e+08 2.0753814074075973e+08 2.0733562305349657e+08 2.0708194064934310e+08 2.0678937583428934e+08 2.0656515036398035e+08 2.0633312411082387e+08 2.0609395372815469e+08 2.0584253585212541e+08 2.0558289659695327e+08 2.0530397671203721e+08 2.0503409636508676e+08 2.0472167664275780e+08 2.0438739083199626e+08 2.0402510537472987e+08 2.0363003117250037e+08 2.0319634784848499e+08 2.0271749926333654e+08 2.0218029190186113e+08 2.0160460859347278e+08 2.0094203821434385e+08 2.0019929926646778e+08 1.9936562920788652e+08 1.9842944466370624e+08 1.9737880141663575e+08 1.9620171763458526e+08 1.9488130648229805e+08 1.9343745375462934e+08 1.9181941697991124e+08 1.9004360874621218e+08 1.8811413413629550e+08 1.8604612304132637e+08 1.8386531479505411e+08 1.8162069865326712e+08 1.7938183132462889e+08 1.7728473726896271e+08 1.7545627678345171e+08 1.7414156215690929e+08 1.7366486631010872e+08 1.7450864456822535e+08 1.7736401594895923e+08 1.8327896269403267e+08 1.9391014846066827e+08 2.1208047482072940e+08 3.8192252810123736e+08 +3.0213737912637924e+00 -2.0280817214031211e+08 -2.0277148113670626e+08 -2.0271202715350133e+08 -2.0263502817955330e+08 -2.0255863943678668e+08 -2.0251157849758980e+08 -2.0250669025929624e+08 -2.0252216993716440e+08 -2.0253569006851444e+08 -2.0254237302737182e+08 -2.0254436713283494e+08 -2.0254148418388534e+08 -2.0253251343461469e+08 -2.0251646249987772e+08 -2.0249243940381131e+08 -2.0245923472333720e+08 -2.0241542194212174e+08 -2.0235943450939694e+08 -2.0228944079219386e+08 -2.0220322947891361e+08 -2.0209815794244081e+08 -2.0197094997304502e+08 -2.0181654521934998e+08 -2.0162611460865536e+08 -2.0139278304504162e+08 -2.0111341322826186e+08 -2.0078101378041035e+08 -2.0038584485403758e+08 -1.9991641977055675e+08 -1.9935907537667567e+08 -1.9869750466231510e+08 -1.9791220288110623e+08 -1.9697980406835347e+08 -1.9587227194416615e+08 -1.9455593698717150e+08 -1.9299030427119657e+08 -1.9112666573553684e+08 -1.8890645368757129e+08 -1.8625938880940947e+08 -1.8310139309477481e+08 -1.7902415143814418e+08 -1.7409412660084149e+08 -1.6813820494827273e+08 -1.6095711882079965e+08 -1.5232858418110904e+08 -1.4201588382351187e+08 -1.2978435507519251e+08 -1.1542798489056171e+08 -9.8806933750007063e+07 -7.9894305567891777e+07 -5.8833970316165872e+07 -3.5941674260022029e+07 -1.1708582117663424e+07 1.3161052901765646e+07 3.7894054865010329e+07 6.1733876749571197e+07 8.4033481871681631e+07 1.0432887565338415e+08 1.2235440250514698e+08 1.3805990491614255e+08 1.5151298282691750e+08 1.6290767771642792e+08 1.7244999144603416e+08 1.8040160199756202e+08 1.8697352578226876e+08 1.9236028429011703e+08 1.9675239813161170e+08 2.0027455655663735e+08 2.0303919066092327e+08 2.0515872426781422e+08 2.0669396890403813e+08 2.0774976080358252e+08 2.0839639093834573e+08 2.0872428399326745e+08 2.0880991648608720e+08 2.0870849731727222e+08 2.0850346264718235e+08 2.0824768843732941e+08 2.0795322410294974e+08 2.0772767844783288e+08 2.0749432704697433e+08 2.0725380794204351e+08 2.0700097869087729e+08 2.0673988384657636e+08 2.0645942639209586e+08 2.0618795650047106e+08 2.0587378496788120e+08 2.0553762426239252e+08 2.0517330630344892e+08 2.0477601503447616e+08 2.0433989732069495e+08 2.0385836011970755e+08 2.0331816122798455e+08 2.0273916848313373e+08 2.0207287559890473e+08 2.0132596292430913e+08 2.0048760733744922e+08 1.9954616027053586e+08 1.9848961027424824e+08 1.9730590808053187e+08 1.9597809644659916e+08 1.9452605099960777e+08 1.9289891436742219e+08 1.9111311827607048e+08 1.8917279091379270e+08 1.8709314729828563e+08 1.8490007160917440e+08 1.8264282880649373e+08 1.8039138970325446e+08 1.7828243217145792e+08 1.7644368723714599e+08 1.7512157927581447e+08 1.7464222815730119e+08 1.7549076069741476e+08 1.7836219589713225e+08 1.8431042520220801e+08 1.9500146929709178e+08 2.1327396151873922e+08 3.8181320541944093e+08 +3.0263421140380506e+00 -2.0185851096599609e+08 -2.0182196687511370e+08 -2.0176275209534338e+08 -2.0168604973146224e+08 -2.0160992854697362e+08 -2.0156297493846121e+08 -2.0155797986634696e+08 -2.0157323442276600e+08 -2.0158650339630955e+08 -2.0159292142368174e+08 -2.0159461870432964e+08 -2.0159139900828177e+08 -2.0158204628646839e+08 -2.0156555983198890e+08 -2.0154103698444164e+08 -2.0150725668802866e+08 -2.0146277795809367e+08 -2.0140601634602785e+08 -2.0133511896834999e+08 -2.0124784975919172e+08 -2.0114153711286625e+08 -2.0101287118946859e+08 -2.0085675046394101e+08 -2.0066427683108696e+08 -2.0042846822265676e+08 -2.0014612107069948e+08 -1.9981020265758795e+08 -1.9941089795103043e+08 -1.9893661897312224e+08 -1.9837358346291941e+08 -1.9770534725220400e+08 -1.9691224854991218e+08 -1.9597074247383961e+08 -1.9485259011469224e+08 -1.9352389412049595e+08 -1.9194390590946651e+08 -1.9006363841383252e+08 -1.8782422207778180e+08 -1.8515505806557342e+08 -1.8197174084545472e+08 -1.7786333487567165e+08 -1.7289769971679136e+08 -1.6690145574476361e+08 -1.5967522909603620e+08 -1.5099688169366905e+08 -1.4063020873760110e+08 -1.2834155337137747e+08 -1.1392651896068385e+08 -9.7247558395125851e+07 -7.8280713215728834e+07 -5.7173230419985250e+07 -3.4244256247248150e+07 -9.9878280071801171e+06 1.4889974060755227e+07 3.9615606128906846e+07 6.3433773102275208e+07 8.5699959845415086e+07 1.0595347559134306e+08 1.2393211518733054e+08 1.3958885646004289e+08 1.5299377014340812e+08 1.6434268398748907e+08 1.7384269274162424e+08 1.8175609388392329e+08 1.8829410577644527e+08 1.9365121600549504e+08 1.9801778160376930e+08 2.0151822644678569e+08 2.0426464307051980e+08 2.0636915018852717e+08 2.0789221025634378e+08 2.0893832602553651e+08 2.0957744481634447e+08 2.0989965474880368e+08 2.0998102357111621e+08 2.0987638177637714e+08 2.0966883390364292e+08 2.0941097157201543e+08 2.0911461145308429e+08 2.0888774833906010e+08 2.0865307457041463e+08 2.0841120959134370e+08 2.0815697195269150e+08 2.0789442460297576e+08 2.0761243286277768e+08 2.0733937671553251e+08 2.0702345708331358e+08 2.0668542545425847e+08 2.0631907929787910e+08 2.0591957565657371e+08 2.0548102870716652e+08 2.0499680858153820e+08 2.0445362451784343e+08 2.0387132926309550e+08 2.0320132175138199e+08 2.0245024418172315e+08 2.0160721298054591e+08 2.0066051452504212e+08 1.9959807027569163e+08 1.9840776367113313e+08 1.9707256723509943e+08 1.9561234632417250e+08 1.9397612908242232e+08 1.9218036625941059e+08 1.9022920909923157e+08 1.8813795756653884e+08 1.8593264038027027e+08 1.8366279762186554e+08 1.8139881335643476e+08 1.7927801737156585e+08 1.7742900974114999e+08 1.7609952408431664e+08 1.7561752333683109e+08 1.7647080011162630e+08 1.7935826515684274e+08 1.8533970663838607e+08 1.9609048251698336e+08 2.1446492446922633e+08 3.8170132505622005e+08 +3.0313104368123089e+00 -2.0090381711524948e+08 -2.0086741955685666e+08 -2.0080844322941476e+08 -2.0073203938197508e+08 -2.0065618569775119e+08 -2.0060933967408296e+08 -2.0060423783809847e+08 -2.0061926713434017e+08 -2.0063228476778176e+08 -2.0063843773164955e+08 -2.0063983809018394e+08 -2.0063628158939242e+08 -2.0062654686758736e+08 -2.0060962491025585e+08 -2.0058460237710121e+08 -2.0055024658380109e+08 -2.0050510208777031e+08 -2.0044756655278406e+08 -2.0037576585415414e+08 -2.0028743918311942e+08 -2.0017988597656834e+08 -2.0004976278363466e+08 -1.9989192694308540e+08 -1.9969741137949139e+08 -1.9945912709771836e+08 -1.9917380429052031e+08 -1.9883436897184545e+08 -1.9843093102077624e+08 -1.9795180128020513e+08 -1.9738307853207141e+08 -1.9670818164731228e+08 -1.9590729204503274e+08 -1.9495668625601974e+08 -1.9382792317310318e+08 -1.9248687817534524e+08 -1.9089254975862911e+08 -1.8899567280357096e+08 -1.8673707713236395e+08 -1.8404584599816373e+08 -1.8083724841061932e+08 -1.7669773552843469e+08 -1.7169656520445827e+08 -1.6566009707055134e+08 -1.5838885750257555e+08 -1.4966086202542835e+08 -1.3924042685611114e+08 -1.2689490994077902e+08 -1.1242153929529636e+08 -9.5685065979694143e+07 -7.6664470215423599e+07 -5.5510369993318886e+07 -3.2545297126363557e+07 -8.2661389576788452e+06 1.6619225885294015e+07 4.1336915343039177e+07 6.5132911693610042e+07 8.7365238460135937e+07 1.0757651566194269e+08 1.2550798642098388e+08 1.4111575507322288e+08 1.5447235125656357e+08 1.6577537630880690e+08 1.7523300659753451e+08 1.8310814948612171e+08 1.8961221806306800e+08 1.9493966062607434e+08 1.9928066662271872e+08 2.0275939195954022e+08 2.0548758884061751e+08 2.0757706953607404e+08 2.0908794677204520e+08 2.1012438911648560e+08 2.1075599989967406e+08 2.1107253031695291e+08 2.1114963921294615e+08 2.1104177866890499e+08 2.1083172141164088e+08 2.1057177467229101e+08 2.1027352252968720e+08 2.1004534469999382e+08 2.0980935136100852e+08 2.0956614337394905e+08 2.0931050035424775e+08 2.0904650360140678e+08 2.0876298088003772e+08 2.0848834178704831e+08 2.0817067778924581e+08 2.0783077923211825e+08 2.0746240920952052e+08 2.0706069791957459e+08 2.0661972692064732e+08 2.0613282959734175e+08 2.0558666675891289e+08 2.0500107596515784e+08 2.0432736175274721e+08 2.0357212817496520e+08 2.0272443133511275e+08 2.0177249269419885e+08 2.0070416676572204e+08 1.9950726983841652e+08 1.9816470437764937e+08 1.9669632536628789e+08 1.9505104688321486e+08 1.9324533858595037e+08 1.9128337472545308e+08 1.8918054003237018e+08 1.8696300745650330e+08 1.8468059161435577e+08 1.8240408896476924e+08 1.8027147970660898e+08 1.7841223126838642e+08 1.7707538365297395e+08 1.7659073895414591e+08 1.7744874985330003e+08 1.8035221055873677e+08 1.8636679339423636e+08 1.9717717372240815e+08 2.1565334792665920e+08 3.8158689666350138e+08 +3.0362787595865672e+00 -1.9994411045322195e+08 -1.9990786000557292e+08 -1.9984912429554296e+08 -1.9977301947322461e+08 -1.9969743355045655e+08 -1.9965069558555615e+08 -1.9964548700267404e+08 -1.9966029091470611e+08 -1.9967305703148216e+08 -1.9967894479874980e+08 -1.9968004814752322e+08 -1.9967615479408881e+08 -1.9966603805555105e+08 -1.9964868062409845e+08 -1.9962315848545623e+08 -1.9958822733102843e+08 -1.9954241727180842e+08 -1.9948410809386829e+08 -1.9941140444117415e+08 -1.9932202077497649e+08 -1.9921322759593731e+08 -1.9908164786373624e+08 -1.9892209781827384e+08 -1.9872554148005980e+08 -1.9848478297425240e+08 -1.9819648628548408e+08 -1.9785353623122966e+08 -1.9744596770199761e+08 -1.9696199048248315e+08 -1.9638758455461842e+08 -1.9570603202881998e+08 -1.9489735779372981e+08 -1.9393766012979636e+08 -1.9279829616948196e+08 -1.9144491459247348e+08 -1.8983626171314877e+08 -1.8792279532411700e+08 -1.8564504587671620e+08 -1.8293178032868594e+08 -1.7969794430856264e+08 -1.7552738289075503e+08 -1.7049075366713601e+08 -1.6441416077344900e+08 -1.5709803726315692e+08 -1.4832055988494107e+08 -1.3784657444856125e+08 -1.2544446262701853e+08 -1.1091308523605569e+08 -9.4119497147971973e+07 -7.5045618176160052e+07 -5.3845431125364974e+07 -3.0844838857904553e+07 -6.5435561249262849e+06 1.8348768685489688e+07 4.3057944841828912e+07 6.6831257267792575e+07 8.9029285052355558e+07 1.0919796578478201e+08 1.2708198855164656e+08 1.4264057527814266e+08 1.5594870257701176e+08 1.6720573269105980e+08 1.7662091235783827e+08 1.8445774924843282e+08 1.9092784398787075e+08 1.9622560023442265e+08 2.0054103587003294e+08 2.0399803626091838e+08 2.0670801152621877e+08 2.0878246617496189e+08 2.1028116255839488e+08 2.1130793436941212e+08 2.1193204062124887e+08 2.1224289523267469e+08 2.1231574801962227e+08 2.1220467265455505e+08 2.1199210986888197e+08 2.1173008246571797e+08 2.1142994208576187e+08 2.1120045230144137e+08 2.1096314220648178e+08 2.1071859409538338e+08 2.1046154871933955e+08 2.1019610568546328e+08 2.0991105530707699e+08 2.0963483659930983e+08 2.0931543199278972e+08 2.0897367052793506e+08 2.0860328099656633e+08 2.0819936681095669e+08 2.0775597698011902e+08 2.0726640822155115e+08 2.0671727304507655e+08 2.0612839372609985e+08 2.0545098078854486e+08 2.0469160014430642e+08 2.0383924770282304e+08 2.0288208014878306e+08 2.0180788519257042e+08 2.0060441211742184e+08 1.9925449350587320e+08 1.9777797386506698e+08 1.9612365362823975e+08 1.9430802124483296e+08 1.9233527392401618e+08 1.9022088097959378e+08 1.8799115928271109e+08 1.8569619739390966e+08 1.8340720330274391e+08 1.8126280610652894e+08 1.7939333888371313e+08 1.7804914514328229e+08 1.7756186220563406e+08 1.7842459705684078e+08 1.8134401902646530e+08 1.8739167195761016e+08 1.9826152861659154e+08 2.1683921625624815e+08 3.8146992990204716e+08 +3.0412470823608255e+00 -1.9897941684689802e+08 -1.9894331432379615e+08 -1.9888481759600791e+08 -1.9880901151590118e+08 -1.9873369494339681e+08 -1.9868706570661837e+08 -1.9868175031812644e+08 -1.9869632870509094e+08 -1.9870884313593215e+08 -1.9871446557356605e+08 -1.9871527183580828e+08 -1.9871104159107569e+08 -1.9870054282953086e+08 -1.9868274996512008e+08 -1.9865672831512952e+08 -1.9862122195245126e+08 -1.9857474655252412e+08 -1.9851566403502628e+08 -1.9844205782267576e+08 -1.9835161766034627e+08 -1.9824158513535452e+08 -1.9810854963882154e+08 -1.9794728635240045e+08 -1.9774869045960739e+08 -1.9750545925700361e+08 -1.9721419055345923e+08 -1.9686772804417020e+08 -1.9645603173280549e+08 -1.9596721047127101e+08 -1.9538712560063064e+08 -1.9469892267599702e+08 -1.9388247032071301e+08 -1.9291368890640700e+08 -1.9176373424979314e+08 -1.9039802890686753e+08 -1.8877506775985906e+08 -1.8684503248594618e+08 -1.8454815542498630e+08 -1.8181288886518708e+08 -1.7855385713981682e+08 -1.7435230653502747e+08 -1.6928029578082505e+08 -1.6316367876713166e+08 -1.5580280165717593e+08 -1.4697601002697554e+08 -1.3644868781708264e+08 -1.2399024929101591e+08 -1.0940119612358360e+08 -9.2550892521965131e+07 -7.3424198661471844e+07 -5.2178455835497707e+07 -2.9142923308780707e+07 -4.8201205492714215e+06 2.0078562905034430e+07 4.4778657106665835e+07 6.8528774724339306e+07 9.0692067116972625e+07 1.1081779603708419e+08 1.2865409407897504e+08 1.4416329174637732e+08 1.5742280065990850e+08 1.6863373128297675e+08 1.7800638949953568e+08 1.8580487374337602e+08 1.9224096502201366e+08 1.9750901703444549e+08 2.0179887214575887e+08 2.0523414263287413e+08 2.0792589479692274e+08 2.0998532408254233e+08 2.1147184183365610e+08 2.1248894618866232e+08 2.1310555152429822e+08 2.1341073414054602e+08 2.1347933470793489e+08 2.1336504850185496e+08 2.1314998408141530e+08 2.1288587978767011e+08 2.1258385498235211e+08 2.1235305602192938e+08 2.1211443200335881e+08 2.1186854666915578e+08 2.1161010198007897e+08 2.1134321580584082e+08 2.1105664111462343e+08 2.1077884614399952e+08 2.1045770470826066e+08 2.1011408438040000e+08 2.0974167972444579e+08 2.0933556742457846e+08 2.0888976401172966e+08 2.0839752961471128e+08 2.0784542857566497e+08 2.0725326778864142e+08 2.0657216415007225e+08 2.0580864543487391e+08 2.0495164748995042e+08 2.0398926236349511e+08 2.0290921110783818e+08 2.0169917614575619e+08 2.0034192035363087e+08 1.9885727766101459e+08 1.9719393527600923e+08 1.9536840032501391e+08 1.9338489292486987e+08 1.9125896678956366e+08 1.8901708239929593e+08 1.8670960166543078e+08 1.8440814323874244e+08 1.8225198359419140e+08 1.8037231974377751e+08 1.7902079580811921e+08 1.7853088037851670e+08 1.7939832894737408e+08 1.8233367757646674e+08 1.8841432891172338e+08 1.9934353300458425e+08 2.1802251393419152e+08 3.8135043444115257e+08 +3.0462154051350838e+00 -1.9800975680836150e+08 -1.9797380166717422e+08 -1.9791554674257678e+08 -1.9784004096142134e+08 -1.9776499327713093e+08 -1.9771847306216800e+08 -1.9771305084759963e+08 -1.9772740354296136e+08 -1.9773966612674546e+08 -1.9774502310628307e+08 -1.9774553221540514e+08 -1.9774096504916409e+08 -1.9773008426911658e+08 -1.9771185602506196e+08 -1.9768533497250214e+08 -1.9764925357050696e+08 -1.9760211307265186e+08 -1.9754225754199761e+08 -1.9746774919206980e+08 -1.9737625306523898e+08 -1.9726498185887340e+08 -1.9713049141847992e+08 -1.9696751590838060e+08 -1.9676688174492383e+08 -1.9652117945014495e+08 -1.9622694069180027e+08 -1.9587696811824974e+08 -1.9546114695016795e+08 -1.9496748523511854e+08 -1.9438172583720973e+08 -1.9368687796556494e+08 -1.9286265424712679e+08 -1.9188479749315462e+08 -1.9072426265453428e+08 -1.8934624674721938e+08 -1.8770899397810486e+08 -1.8576241088962469e+08 -1.8344643297912487e+08 -1.8068919950032833e+08 -1.7740501558626935e+08 -1.7317253611063004e+08 -1.6806522229251575e+08 -1.6190868302943131e+08 -1.5450318401943740e+08 -1.4562724725104013e+08 -1.3504680329580715e+08 -1.2253230780963017e+08 -1.0788591129568109e+08 -9.0979292699872434e+07 -7.1800253188144505e+07 -5.0509486072160676e+07 -2.7439592251280937e+07 -3.0958731546784905e+06 2.1808569121980127e+07 4.6499014766535930e+07 7.0225429118066519e+07 9.2353552307472974e+07 1.1243597665406321e+08 1.3022427565709122e+08 1.4568387929892561e+08 1.5889462220355690e+08 1.7005935037195736e+08 1.7938941763279614e+08 1.8714950367213082e+08 1.9355156276068708e+08 1.9878989335141066e+08 2.0305415836830166e+08 2.0646769447378281e+08 2.0914122243670711e+08 2.1118562734938401e+08 2.1265996892836285e+08 2.1366740908873105e+08 2.1427651726214156e+08 2.1457603179444033e+08 2.1464038410409617e+08 2.1452289108797765e+08 2.1430532896390080e+08 2.1403915158219281e+08 2.1373524618928015e+08 2.1350314084785274e+08 2.1326320575502729e+08 2.1301598611675432e+08 2.1275614517599052e+08 2.1248781902079231e+08 2.1219972338082922e+08 2.1192035551991519e+08 2.1159748105712086e+08 2.1125200593511224e+08 2.1087759056487495e+08 2.1046928496090877e+08 2.1002107324682817e+08 2.0952617904340839e+08 2.0897111865564457e+08 2.0837568350106844e+08 2.0769089723320124e+08 2.0692324949676630e+08 2.0606161620704120e+08 2.0509402491692474e+08 2.0400813016602105e+08 2.0279154766352323e+08 2.0142697075656062e+08 1.9993422269582579e+08 1.9826187788584596e+08 1.9642646201437038e+08 1.9443221805596325e+08 1.9229478394051623e+08 1.9004076344320667e+08 1.8772079122874051e+08 1.8540689573495775e+08 1.8323899928514394e+08 1.8134916109682396e+08 1.7999032299115795e+08 1.7949778085076082e+08 1.8036993284161666e+08 1.8332117331793961e+08 1.8943475093625301e+08 2.0042317279268318e+08 2.1920322554766023e+08 3.8122841995834351e+08 +3.0511837279093421e+00 -1.9703515446261948e+08 -1.9699934768214387e+08 -1.9694133541781786e+08 -1.9686612968680698e+08 -1.9679135135868040e+08 -1.9674494069894582e+08 -1.9673941173359287e+08 -1.9675353856218022e+08 -1.9676554914591825e+08 -1.9677064054669374e+08 -1.9677085244693100e+08 -1.9676594833674476e+08 -1.9675468555301926e+08 -1.9673602199527916e+08 -1.9670900166332799e+08 -1.9667234540748456e+08 -1.9662454007417157e+08 -1.9656391188029975e+08 -1.9648850184209687e+08 -1.9639595031444257e+08 -1.9628344112976682e+08 -1.9614749661086982e+08 -1.9598280994750583e+08 -1.9578013886085561e+08 -1.9553196715623263e+08 -1.9523476039613342e+08 -1.9488128025869226e+08 -1.9446133728838831e+08 -1.9396283886040974e+08 -1.9337140952867669e+08 -1.9266992236990780e+08 -1.9183793428969240e+08 -1.9085101089152235e+08 -1.8967990671743795e+08 -1.8828959383403036e+08 -1.8663806653718147e+08 -1.8467495722382957e+08 -1.8233990582727504e+08 -1.7956074021041268e+08 -1.7625144841028064e+08 -1.7198810134241796e+08 -1.6684556401922771e+08 -1.6064920560042894e+08 -1.5319921773864976e+08 -1.4427430639942995e+08 -1.3364095724830735e+08 -1.2107067607370333e+08 -1.0636727008617733e+08 -8.9404738254814416e+07 -7.0173823224816874e+07 -4.8838563711562730e+07 -2.5734887361779340e+07 -1.3708547477879860e+06 2.3538748049521435e+07 4.8218980598461673e+07 7.1921185659848034e+07 9.4013708436322168e+07 1.1405247802882007e+08 1.3179250609456192e+08 1.4720231290647325e+08 1.6036414405036852e+08 1.7148256838278437e+08 1.8076997650088859e+08 1.8849161986454234e+08 1.9485961892375305e+08 2.0006821163151807e+08 2.0430687757470366e+08 2.0769867529820994e+08 2.1035397834342754e+08 2.1238336017844853e+08 2.1384552828427228e+08 2.1484330769530770e+08 2.1544492259756306e+08 2.1573877305771461e+08 2.1579888114315230e+08 2.1567818539898035e+08 2.1545812953970054e+08 2.1518988290174156e+08 2.1488410078368792e+08 2.1465069187426209e+08 2.1440944857357395e+08 2.1416089756705984e+08 2.1389966345410919e+08 2.1362990049614653e+08 2.1334028729099995e+08 2.1305934993280935e+08 2.1273474626770201e+08 2.1238742044461200e+08 2.1201099879624018e+08 2.1160050472672296e+08 2.1114989002389354e+08 2.1065234188016844e+08 2.1009432869579765e+08 2.0949562631649569e+08 2.0880716553932816e+08 2.0803539788473067e+08 2.0716913946855971e+08 2.0619635349096674e+08 2.0510462812510335e+08 2.0388151251333719e+08 2.0250963065227678e+08 2.0100879501216474e+08 1.9932746761715662e+08 1.9748219260053179e+08 1.9547723574420530e+08 1.9332831900828958e+08 1.9106218914744967e+08 1.8872975297870615e+08 1.8640344784742129e+08 1.8422384038760090e+08 1.8232385028300738e+08 1.8095771412750298e+08 1.8046255109124446e+08 1.8133939614759141e+08 1.8430649345291045e+08 1.9045292480629086e+08 2.0150043398849770e+08 2.2038133579463452e+08 3.8110389613907880e+08 +3.0561520506836004e+00 -1.9605563335466471e+08 -1.9601997630526409e+08 -1.9596220446458110e+08 -1.9588730019591138e+08 -1.9581279246334493e+08 -1.9576649182068053e+08 -1.9576085619530734e+08 -1.9577475699140438e+08 -1.9578651543075597e+08 -1.9579134114392272e+08 -1.9579125578926998e+08 -1.9578601472004172e+08 -1.9577436995868582e+08 -1.9575527116552955e+08 -1.9572775169130415e+08 -1.9569052078400856e+08 -1.9564205089746493e+08 -1.9558065041329890e+08 -1.9550433916369259e+08 -1.9541073283134082e+08 -1.9529698640924388e+08 -1.9515958872234064e+08 -1.9499319202903733e+08 -1.9478848543092930e+08 -1.9453784607556039e+08 -1.9423767345893520e+08 -1.9388068836756396e+08 -1.9345662677849171e+08 -1.9295329552933124e+08 -1.9235620103468451e+08 -1.9164808045654631e+08 -1.9080833525899473e+08 -1.8981235419630113e+08 -1.8863069186492589e+08 -1.8722809597895348e+08 -1.8556231169583246e+08 -1.8358269826522854e+08 -1.8122860134274423e+08 -1.7842753905371869e+08 -1.7509318445267984e+08 -1.7079903202905706e+08 -1.6562135184588870e+08 -1.5938527858187932e+08 -1.5189093625592309e+08 -1.4291722235633078e+08 -1.3223118606702586e+08 -1.1960539198689392e+08 -1.0484531182277785e+08 -8.7827269733250871e+07 -6.8544950190594986e+07 -4.7165730556490846e+07 -2.4028850219806213e+07 3.5489398299636290e+05 2.5269060536671359e+07 4.9938517528097682e+07 7.3616009716650724e+07 9.5672503474900261e+07 1.1566727071253677e+08 1.3335875835456343e+08 1.4871856768872070e+08 1.6183134318624967e+08 1.7290336387939844e+08 1.8214804598010111e+08 1.8983120327854815e+08 1.9616511535575947e+08 2.0134395444240949e+08 2.0555701292028379e+08 2.0892706873679206e+08 2.1156414652978095e+08 2.1357850688574928e+08 2.1502850445498309e+08 2.1601662674455541e+08 2.1661075240362072e+08 2.1689894290298080e+08 2.1695481086909276e+08 2.1683091652964902e+08 2.1660837094018301e+08 2.1633805890677556e+08 2.1603040395155868e+08 2.1579569430369535e+08 2.1555314567836940e+08 2.1530326625686520e+08 2.1504064206929743e+08 2.1476944550514746e+08 2.1447831813805076e+08 2.1419581469600037e+08 2.1386948567544228e+08 2.1352031326784354e+08 2.1314188980376107e+08 2.1272921213574183e+08 2.1227619978700793e+08 2.1177600360362718e+08 2.1121504421304089e+08 2.1061308179375485e+08 2.0992095467435369e+08 2.0914507625801322e+08 2.0827420299363416e+08 2.0729623387147766e+08 2.0619869084613135e+08 2.0496905664048141e+08 2.0358988608004564e+08 2.0208098075397557e+08 2.0039069072948667e+08 1.9853557847006661e+08 1.9651993251421410e+08 1.9435955866572437e+08 1.9208134634103316e+08 1.8973647390507469e+08 1.8739778672587284e+08 1.8520649420256579e+08 1.8329637473414987e+08 1.8192295674266329e+08 1.8142517865967515e+08 1.8230670636407486e+08 1.8528962527582991e+08 1.9146883739281639e+08 2.0257530270106286e+08 2.2155682948392925e+08 3.8097687267645192e+08 +3.0611203734578587e+00 -1.9507121692028251e+08 -1.9503571016392118e+08 -1.9497817931798786e+08 -1.9490357590640622e+08 -1.9482934030347592e+08 -1.9478314976459384e+08 -1.9477740754453671e+08 -1.9479108215557349e+08 -1.9480258831459817e+08 -1.9480714824602163e+08 -1.9480676559971234e+08 -1.9480118756281480e+08 -1.9478916086053485e+08 -1.9476962692261195e+08 -1.9474160845755887e+08 -1.9470380311762497e+08 -1.9465466898009151e+08 -1.9459249660158223e+08 -1.9451528464450562e+08 -1.9442062413585302e+08 -1.9430564125553671e+08 -1.9416679135563728e+08 -1.9399868580887929e+08 -1.9379194517373371e+08 -1.9353884000414145e+08 -1.9323570376892689e+08 -1.9287521644273505e+08 -1.9244703954673463e+08 -1.9193887951872498e+08 -1.9133612480882162e+08 -1.9062137688687229e+08 -1.8977388205865985e+08 -1.8876885259437704e+08 -1.8757664361376956e+08 -1.8616177908302817e+08 -1.8448175580119568e+08 -1.8248566087649709e+08 -1.8011254698258653e+08 -1.7728962416986981e+08 -1.7393025263176233e+08 -1.6960535804255873e+08 -1.6439261672513169e+08 -1.5811693413521853e+08 -1.5057837306344885e+08 -1.4155603004602289e+08 -1.3081752617124304e+08 -1.1813649346430878e+08 -1.0332007582675843e+08 -8.6246927653564274e+07 -6.6913675453541510e+07 -4.5491028335013337e+07 -2.2321522306796238e+07 2.0813324684346130e+06 2.6999467569052398e+07 5.1657588630309023e+07 7.5309866812177971e+07 9.7329905554186121e+07 1.1728032541468117e+08 1.3492300555454150e+08 1.5023261891522816e+08 1.6329619674135065e+08 1.7432171556327513e+08 1.8352360607938966e+08 1.9116823500060099e+08 1.9746803402522320e+08 2.0261710447261029e+08 2.0680454767869663e+08 2.1015285853602451e+08 2.1277171112217325e+08 2.1477105189957181e+08 2.1620888210544753e+08 2.1718735108267555e+08 2.1777399166314489e+08 2.1805652641235968e+08 2.1810815843469721e+08 2.1798106968310121e+08 2.1775603840554619e+08 2.1748366486587027e+08 2.1717414098600882e+08 2.1693813344660059e+08 2.1669428239665374e+08 2.1644307753059942e+08 2.1617906638346547e+08 2.1590643942830184e+08 2.1561380132161373e+08 2.1532973522970188e+08 2.1500168472264582e+08 2.1465066987092030e+08 2.1427024907898667e+08 2.1385539270709094e+08 2.1339998808670831e+08 2.1289714979773441e+08 2.1233325082892895e+08 2.1172803559690976e+08 2.1103225034945622e+08 2.1025227038020396e+08 2.0937679260516769e+08 2.0839365194808772e+08 2.0729030429311630e+08 2.0605416609267908e+08 2.0466772318084973e+08 2.0315076616578051e+08 2.0145153358268666e+08 1.9958660610903615e+08 1.9756029498919693e+08 1.9538848968292671e+08 1.9309822194894183e+08 1.9074094109261867e+08 1.8838989961357924e+08 1.8618694812340882e+08 1.8426672197356269e+08 1.8288603845362461e+08 1.8238565120618862e+08 1.8327185108144018e+08 1.8627055617398271e+08 1.9248247566231951e+08 2.0364776514069939e+08 2.2272969153501418e+08 3.8084735927089584e+08 +3.0660886962321170e+00 -1.9408192911594218e+08 -1.9404656925925416e+08 -1.9398928270695725e+08 -1.9391498176672274e+08 -1.9384101821384847e+08 -1.9379493795818970e+08 -1.9378908920128393e+08 -1.9380253747633392e+08 -1.9381379122647268e+08 -1.9381808529819751e+08 -1.9381740533141130e+08 -1.9381149032460681e+08 -1.9379908172892544e+08 -1.9377911274945152e+08 -1.9375059545917588e+08 -1.9371221592234513e+08 -1.9366241785541523e+08 -1.9359947400181752e+08 -1.9352136186847016e+08 -1.9342564784391806e+08 -1.9330942932227400e+08 -1.9316912820910904e+08 -1.9299931503840238e+08 -1.9279054190414354e+08 -1.9253497283334354e+08 -1.9222887530946878e+08 -1.9186488857641879e+08 -1.9143259981327486e+08 -1.9091961519938129e+08 -1.9031120539841497e+08 -1.8958983641439411e+08 -1.8873459968419248e+08 -1.8772053136356097e+08 -1.8651778757091197e+08 -1.8509066913589978e+08 -1.8339642528688797e+08 -1.8138387200504309e+08 -1.7899177028654552e+08 -1.7614702377780530e+08 -1.7276268194204849e+08 -1.6840710932591441e+08 -1.6315938967475745e+08 -1.5684420448043510e+08 -1.4926156170324540e+08 -1.4019076443152311e+08 -1.2940001400593129e+08 -1.1666401843088283e+08 -1.0179160141025943e+08 -8.4663752504886135e+07 -6.5280040329655021e+07 -4.3814498699269094e+07 -2.0612945005192533e+07 3.8084202593489927e+06 2.8729930269582156e+07 5.3376157129760355e+07 7.7002722627135023e+07 9.8985882964504346e+07 1.1889161300319260e+08 1.3648522096695378e+08 1.5174444200464347e+08 1.6475868198898071e+08 1.7573760227402765e+08 1.8489663694112262e+08 1.9250269624540922e+08 1.9876835702549031e+08 2.0388764453171855e+08 2.0804946524156055e+08 2.1137602855830455e+08 2.1397665636126459e+08 2.1596097976136452e+08 2.1738664601170477e+08 2.1835546566699830e+08 2.1893462546888056e+08 2.1921150877696535e+08 2.1925890910224190e+08 2.1912863017104685e+08 2.1890111728376114e+08 2.1862668615590262e+08 2.1831529728878582e+08 2.1807799472104433e+08 2.1783284416351458e+08 2.1758031683992210e+08 2.1731492186647734e+08 2.1704086775339484e+08 2.1674672234911281e+08 2.1646109706081343e+08 2.1613132895844978e+08 2.1577847582650703e+08 2.1539606222007483e+08 2.1497903206681481e+08 2.1452124057915512e+08 2.1401576615304247e+08 2.1344893427146068e+08 2.1284047349533960e+08 2.1214103838036087e+08 2.1135696611970380e+08 2.1047689423006466e+08 2.0948859371364090e+08 2.0837945453319854e+08 2.0713682701996833e+08 2.0574312819783440e+08 2.0421813759354398e+08 2.0250998263642856e+08 2.0063526210241845e+08 1.9859830989044356e+08 1.9641509892697981e+08 1.9411280299239638e+08 1.9174314172043881e+08 1.8937977384763700e+08 1.8716518963585240e+08 1.8523487961601678e+08 1.8384694696814048e+08 1.8334395647175556e+08 1.8423481798081121e+08 1.8724927362702894e+08 1.9349382667746356e+08 2.0471780761864644e+08 2.2389990697812983e+08 3.8071536562988800e+08 +3.0710570190063753e+00 -1.9308779122871354e+08 -1.9305258024889946e+08 -1.9299553813228121e+08 -1.9292153998637044e+08 -1.9284784978154778e+08 -1.9280187991023630e+08 -1.9279592469065794e+08 -1.9280914647412938e+08 -1.9282014769215295e+08 -1.9282417584127626e+08 -1.9282319853248340e+08 -1.9281694656067953e+08 -1.9280415612965602e+08 -1.9278375222396556e+08 -1.9275473628852412e+08 -1.9271578280682716e+08 -1.9266532115176377e+08 -1.9260160626527518e+08 -1.9252259451389149e+08 -1.9242582766611397e+08 -1.9230837435800588e+08 -1.9216662307610720e+08 -1.9199510356307149e+08 -1.9178429953083524e+08 -1.9152626854846564e+08 -1.9121721215758100e+08 -1.9084972895414430e+08 -1.9041333189158386e+08 -1.8989552703477722e+08 -1.8928146744262826e+08 -1.8855348388432541e+08 -1.8769051322178948e+08 -1.8666741587136433e+08 -1.8545414943191412e+08 -1.8401479221455482e+08 -1.8230634667241693e+08 -1.8027735868225810e+08 -1.7786629887554657e+08 -1.7499976617509812e+08 -1.7159050145278740e+08 -1.6720431589262274e+08 -1.6192170177711496e+08 -1.5556712189466029e+08 -1.4794053576510948e+08 -1.3882146051347715e+08 -1.2797868604019667e+08 -1.1518800481978391e+08 -1.0025992787582172e+08 -8.3077784745502472e+07 -6.3644086081421509e+07 -4.2136183224304579e+07 -1.8903159597217541e+07 5.5361170275206231e+06 3.0460409899149630e+07 5.5094186401283905e+07 7.8694542999671623e+07 1.0064040415611213e+08 1.2050110450449732e+08 1.3804537801868120e+08 1.5325401252531129e+08 1.6621877634652165e+08 1.7715100298965868e+08 1.8626711884016508e+08 1.9383456835606214e+08 2.0006606657395577e+08 2.0515555755022937e+08 2.0929174911892828e+08 2.1259656278213221e+08 2.1517896660168806e+08 2.1714827512423727e+08 2.1856178106165659e+08 2.1952095556517640e+08 2.2009263902283645e+08 2.2036387529728317e+08 2.2040704824161562e+08 2.2027358341395313e+08 2.2004359303137475e+08 2.1976710826161504e+08 2.1945385836914080e+08 2.1921526365308562e+08 2.1896881652153042e+08 2.1871496974460223e+08 2.1844819409520841e+08 2.1817271607557836e+08 2.1787706683422866e+08 2.1758988582360619e+08 2.1725840403854060e+08 2.1690371681364450e+08 2.1651931493149444e+08 2.1610011594703972e+08 2.1563994302684921e+08 2.1513183846515971e+08 2.1456208037332261e+08 2.1395038136318484e+08 2.1324730468807378e+08 2.1245914944909295e+08 2.1157449389934996e+08 2.1058104526467797e+08 2.0946612773627219e+08 2.0821702567476547e+08 2.0681608747528613e+08 2.0528308148386016e+08 2.0356602445097953e+08 2.0168153313471097e+08 1.9963396403709042e+08 1.9743937336209530e+08 1.9512507658797723e+08 1.9274306306279942e+08 1.9036739685846785e+08 1.8814120631843033e+08 1.8620083536806443e+08 1.8480567008438334e+08 1.8430008228759488e+08 1.8519559483446935e+08 1.8822576520736805e+08 1.9450287759593004e+08 2.0578541654770356e+08 2.2506746095402771e+08 3.8058090146765971e+08 +3.0760253417806336e+00 -1.9208882813463745e+08 -1.9205376897433662e+08 -1.9199696885446095e+08 -1.9192327426049751e+08 -1.9184985843506292e+08 -1.9180399921187648e+08 -1.9179793762964484e+08 -1.9181093276786172e+08 -1.9182168133402315e+08 -1.9182544351159722e+08 -1.9182416884509486e+08 -1.9181757991988558e+08 -1.9180440772210887e+08 -1.9178356901791933e+08 -1.9175405463145721e+08 -1.9171452747369513e+08 -1.9166340259146392e+08 -1.9159891713707793e+08 -1.9151900635318750e+08 -1.9142118740657780e+08 -1.9130250020451313e+08 -1.9115929984255049e+08 -1.9098607532178497e+08 -1.9077324205546406e+08 -1.9051275122737128e+08 -1.9020073848292860e+08 -1.8982976185407689e+08 -1.8938926018677956e+08 -1.8886663957933018e+08 -1.8824693567134351e+08 -1.8751234423207128e+08 -1.8664164784683856e+08 -1.8560953157371634e+08 -1.8438575497953337e+08 -1.8293417448200139e+08 -1.8121154656175402e+08 -1.7916614802172813e+08 -1.7673616045062143e+08 -1.7384787973632759e+08 -1.7041374030696747e+08 -1.6599700782474554e+08 -1.6067958417737332e+08 -1.5428571871063823e+08 -1.4661532888605097e+08 -1.3744815332764560e+08 -1.2655357876567224e+08 -1.1370849057126477e+08 -9.8725094514318228e+07 -8.1489064801285520e+07 -6.2005853916408211e+07 -4.0456123406789348e+07 -1.7192207263905913e+07 7.2643825665685609e+06 3.2190867857452214e+07 5.6811639970523693e+07 8.0385293925564289e+07 1.0229343773916274e+08 1.2210877110351053e+08 1.3960345029143670e+08 1.5476130619498858e+08 1.6767645737498367e+08 1.7856189682548580e+08 1.8763503218415278e+08 1.9516383280372724e+08 2.0136114501188570e+08 2.0642082657949495e+08 2.1053138293910801e+08 2.1381444530184773e+08 2.1637862631210357e+08 2.1833292275483263e+08 2.1973427225415301e+08 2.2068380595467788e+08 2.2124801763699830e+08 2.2151361138279554e+08 2.2155256133244783e+08 2.2141591494030613e+08 2.2118345121328828e+08 2.2090491677578318e+08 2.2058980984440348e+08 2.2034992587654859e+08 2.2010218512048492e+08 2.1984702191085747e+08 2.1957886875371814e+08 2.1930197009696004e+08 2.1900482049843749e+08 2.1871608725886545e+08 2.1838289572571769e+08 2.1802637861835587e+08 2.1763999302401558e+08 2.1721863018599397e+08 2.1675608129798710e+08 2.1624535263554958e+08 2.1567267507318500e+08 2.1505774517997757e+08 2.1435103529782060e+08 2.1355880644549623e+08 2.1266957774803644e+08 2.1167099280117950e+08 2.1055031017532933e+08 2.0929474841183937e+08 2.0788658745939162e+08 2.0634558438402975e+08 2.0461964568580845e+08 2.0272540598898548e+08 2.0066724434684393e+08 1.9846130004940885e+08 1.9613502994871548e+08 1.9374069248835242e+08 1.9135275617033446e+08 1.8911498584192467e+08 1.8716457702748093e+08 1.8576219569175768e+08 1.8525401657608363e+08 1.8615416950563890e+08 1.8920001857982910e+08 1.9550961567117622e+08 2.0685057844147369e+08 2.2623233871435678e+08 3.8044397650490427e+08 +3.0809936645548919e+00 -1.9108506481579012e+08 -1.9105015420896912e+08 -1.9099360029934287e+08 -1.9092021010469341e+08 -1.9084706759844589e+08 -1.9080131958353448e+08 -1.9079515171742624e+08 -1.9080792007495117e+08 -1.9081841587015501e+08 -1.9082191203847504e+08 -1.9082034000360096e+08 -1.9081341414406344e+08 -1.9079986025876006e+08 -1.9077858689575255e+08 -1.9074857426667857e+08 -1.9070847371853459e+08 -1.9065668598933569e+08 -1.9059143045497936e+08 -1.9051062125094289e+08 -1.9041175096210361e+08 -1.9029183079618052e+08 -1.9014718248728341e+08 -1.8997225434561762e+08 -1.8975739357170409e+08 -1.8949444504006565e+08 -1.8917947854674569e+08 -1.8880501164514819e+08 -1.8836040919499725e+08 -1.8783297747812709e+08 -1.8720763490448999e+08 -1.8646644248208660e+08 -1.8558802882338616e+08 -1.8454690401408213e+08 -1.8331263008303177e+08 -1.8184884218632674e+08 -1.8011205164201507e+08 -1.7805026721842629e+08 -1.7560138279157430e+08 -1.7269139291202205e+08 -1.6923242771975580e+08 -1.6478521527195996e+08 -1.5943306808244887e+08 -1.5300002731545725e+08 -1.4528597474817169e+08 -1.3607087794519651e+08 -1.2512472869537449e+08 -1.1222551363088378e+08 -9.7187140603878990e+07 -7.9897633064712793e+07 -6.0365384985917196e+07 -3.8774360663949981e+07 -1.5480129084070187e+07 8.9931767928356845e+06 3.3921265683477350e+07 5.8528481514438361e+07 8.2074941558713228e+07 1.0394495248437032e+08 1.2371458414417031e+08 1.4115941152165917e+08 1.5626629888040084e+08 1.6913170277877545e+08 1.7997026303566134e+08 1.8900035751339075e+08 1.9649047118735790e+08 2.0265357480536160e+08 2.0768343479173774e+08 2.1176835044806689e+08 2.1502966032717690e+08 2.1757562007476977e+08 2.1951490753140423e+08 2.2090410469949892e+08 2.2184400212396637e+08 2.2240074673275709e+08 2.2266070255188516e+08 2.2269543396245423e+08 2.2255561038687369e+08 2.2232067750186458e+08 2.2204009739932948e+08 2.2172313743907753e+08 2.2148196713250610e+08 2.2123293571837875e+08 2.2097645911319894e+08 2.2070693163360155e+08 2.2042861562705564e+08 2.2012996916955057e+08 2.1983968721424773e+08 2.1950478988900891e+08 2.1914644713245684e+08 2.1875808241481203e+08 2.1833456072802484e+08 2.1786964136693385e+08 2.1735629467137170e+08 2.1678070441445082e+08 2.1616255103019378e+08 2.1545221633972961e+08 2.1465592329008546e+08 2.1376213201460984e+08 2.1275842262622568e+08 2.1163198822590393e+08 2.1036998168781996e+08 2.0895461469734100e+08 2.0740563294247276e+08 2.0567083310104030e+08 2.0376686754768750e+08 2.0169813783480382e+08 1.9948086614695534e+08 1.9714265038295659e+08 1.9473601746061951e+08 1.9233583940042189e+08 1.9008651596959257e+08 1.8812609248378000e+08 1.8671651177013627e+08 1.8620574734938404e+08 1.8711052994857067e+08 1.9017202150108427e+08 1.9651402825204146e+08 2.0791327991436234e+08 2.2739452562048498e+08 3.8030460046848941e+08 +3.0859619873291502e+00 -1.9007652294375619e+08 -1.9004176334601468e+08 -1.8998545452779931e+08 -1.8991236896514094e+08 -1.8983950100576374e+08 -1.8979386489170420e+08 -1.8978759073858070e+08 -1.8980013220787683e+08 -1.8981037511371681e+08 -1.8981360524316543e+08 -1.8981173583374286e+08 -1.8980447306726897e+08 -1.8979053758417195e+08 -1.8976882971367228e+08 -1.8973831906468236e+08 -1.8969764542842677e+08 -1.8964519525192928e+08 -1.8957917014846972e+08 -1.8949746316344723e+08 -1.8939754232061738e+08 -1.8927639015835530e+08 -1.8913029507994023e+08 -1.8895366475628823e+08 -1.8873677826402393e+08 -1.8847137424675888e+08 -1.8815345670033982e+08 -1.8777550278628764e+08 -1.8732680350161061e+08 -1.8679456546537754e+08 -1.8616359005044451e+08 -1.8541580374688494e+08 -1.8452968150245243e+08 -1.8347955882213029e+08 -1.8223480069667411e+08 -1.8075882165893021e+08 -1.7900788868247977e+08 -1.7692974354736650e+08 -1.7446199375595534e+08 -1.7153033422736138e+08 -1.6804659297698390e+08 -1.6356896845013106e+08 -1.5818218475942340e+08 -1.5171008014932406e+08 -1.4395250707762462e+08 -1.3468966946961698e+08 -1.2369217236191766e+08 -1.1073911194824040e+08 -9.5646105408249274e+07 -7.8303529893234134e+07 -5.8722720384025536e+07 -3.7090936332239844e+07 -1.3766966033211397e+07 1.0722459746224727e+07 3.5651565056376293e+07 6.0244674861641116e+07 8.3763452211540967e+07 1.0559491732255587e+08 1.2531851512884690e+08 1.4271323560051820e+08 1.5776896659839869e+08 1.7058449040595406e+08 1.8137608101147765e+08 1.9036307550112680e+08 1.9781446523438641e+08 2.0394333854403034e+08 2.0894336547990128e+08 2.1300263550992379e+08 2.1624219218395299e+08 2.1876993258629170e+08 2.2069421444478995e+08 2.2207126361866525e+08 2.2300152947107813e+08 2.2355081184124306e+08 2.2380513443202487e+08 2.2383565182801181e+08 2.2369265549918687e+08 2.2345525767773908e+08 2.2317263594045982e+08 2.2285382698597485e+08 2.2261137326988101e+08 2.2236105417986482e+08 2.2210326723325837e+08 2.2183236863339436e+08 2.2155263858183864e+08 2.2125249878273174e+08 2.2096067164463550e+08 2.2062407250429481e+08 2.2026390835472122e+08 2.1987356912703767e+08 2.1944789362320259e+08 2.1898060931328955e+08 2.1846465068525463e+08 2.1788615454622272e+08 2.1726478510319141e+08 2.1655083404860923e+08 2.1575048626819542e+08 2.1485214304166740e+08 2.1384332114652014e+08 2.1271114836668554e+08 2.1144271206179714e+08 2.1002015583862317e+08 2.0846321390791455e+08 2.0671957355611429e+08 2.0480590479192019e+08 2.0272663161441618e+08 2.0049805890963340e+08 1.9814792529496479e+08 1.9572902553726980e+08 1.9331663425989646e+08 1.9105578455676687e+08 1.8908536971731892e+08 1.8766860639016366e+08 1.8715526271019691e+08 1.8806466420791575e+08 1.9114176182100695e+08 1.9751610278296283e+08 2.0897350768239561e+08 2.2855400714496481e+08 3.8016278309116948e+08 +3.0909303101034085e+00 -1.8906323012056765e+08 -1.8902861958245850e+08 -1.8897255532519346e+08 -1.8889977544158798e+08 -1.8882718280498815e+08 -1.8878165908722836e+08 -1.8877527857435328e+08 -1.8878759307063413e+08 -1.8879758297071704e+08 -1.8880054703808969e+08 -1.8879838025161844e+08 -1.8879078061461622e+08 -1.8877646363318762e+08 -1.8875432141838250e+08 -1.8872331298628864e+08 -1.8868206658063871e+08 -1.8862895437609053e+08 -1.8856216023704490e+08 -1.8847955613720962e+08 -1.8837858556042582e+08 -1.8825620240690270e+08 -1.8810866178014016e+08 -1.8793033076572400e+08 -1.8771142040664610e+08 -1.8744356319731739e+08 -1.8712269738425353e+08 -1.8674125982554972e+08 -1.8628846778086033e+08 -1.8575142836323830e+08 -1.8511482610490859e+08 -1.8436045322555166e+08 -1.8346663132122475e+08 -1.8240752171267712e+08 -1.8115229285846034e+08 -1.7966413931394875e+08 -1.7789908453284603e+08 -1.7580460436223692e+08 -1.7331802127745810e+08 -1.7036473228042081e+08 -1.6685626543470338e+08 -1.6234829764001474e+08 -1.5692696553428954e+08 -1.5041590970378566e+08 -1.4261495964333323e+08 -1.3330456303619386e+08 -1.2225594631647506e+08 -1.0924932347589372e+08 -9.4102028175686806e+07 -7.6706795607985243e+07 -5.7077901145994157e+07 -3.5405891666268833e+07 -1.2052758982542185e+07 1.2452191591067234e+07 3.7381727795950390e+07 6.1960183993208408e+07 8.5450792355022341e+07 1.0724330134531957e+08 1.2692053571928720e+08 1.4426489657401207e+08 1.5926928551463416e+08 1.7203479824822283e+08 1.8277933028215143e+08 1.9172316695271689e+08 1.9913579680004364e+08 2.0523041894178346e+08 2.1020060205741918e+08 2.1423422210648301e+08 2.1745202531330779e+08 2.1996154865674344e+08 2.2187082859784564e+08 2.2323573434407610e+08 2.2415637350449762e+08 2.2469819860274541e+08 2.2494689275971746e+08 2.2497320073388675e+08 2.2482703613042688e+08 2.2458717762984946e+08 2.2430251831531078e+08 2.2398186442488801e+08 2.2373813024486566e+08 2.2348652647745064e+08 2.2322743225915864e+08 2.2295516575879091e+08 2.2267402498466727e+08 2.2237239537960961e+08 2.2207902661069733e+08 2.2174072965381858e+08 2.2137874839000735e+08 2.2098643929026788e+08 2.2055861502770680e+08 2.2008897132274836e+08 2.1957040689515823e+08 2.1898901172259185e+08 2.1836443369335032e+08 2.1764687476339370e+08 2.1684248176971826e+08 2.1593959727568012e+08 2.1492567487174475e+08 2.1378777717882487e+08 2.1251292619497332e+08 2.1108319763330433e+08 2.0951831412995079e+08 2.0776585401070821e+08 2.0584250480173203e+08 2.0375271289680707e+08 2.0151286568910712e+08 1.9915084218453878e+08 1.9671970437068531e+08 1.9429512855268586e+08 1.9202277955098900e+08 1.9004239679995364e+08 1.8861846771290439e+08 1.8810255085201442e+08 1.8901656041960451e+08 1.9210922748091641e+08 1.9851582680345780e+08 2.1003124856160668e+08 2.2971076886997798e+08 3.8001853411130178e+08 +3.0958986328776668e+00 -1.8804520469998118e+08 -1.8801074613487518e+08 -1.8795492677989724e+08 -1.8788245295454785e+08 -1.8781013710863289e+08 -1.8776472615317267e+08 -1.8775823921070197e+08 -1.8777032665598550e+08 -1.8778006343844616e+08 -1.8778276142388049e+08 -1.8778029726190472e+08 -1.8777236080033940e+08 -1.8775766243051416e+08 -1.8773508604607183e+08 -1.8770358008196607e+08 -1.8766176124281913e+08 -1.8760798744815582e+08 -1.8754042482969826e+08 -1.8745692430790773e+08 -1.8735490484900191e+08 -1.8723129174628234e+08 -1.8708230683676451e+08 -1.8690227667460662e+08 -1.8668134436236462e+08 -1.8641103633003020e+08 -1.8608722512721100e+08 -1.8570230739850873e+08 -1.8524542679399851e+08 -1.8470359108054161e+08 -1.8406136815012518e+08 -1.8330041620315450e+08 -1.8239890380130976e+08 -1.8133081848392057e+08 -1.8006513268924665e+08 -1.7856482164667249e+08 -1.7678566612303770e+08 -1.7467487709442014e+08 -1.7216949336467966e+08 -1.6919461574180207e+08 -1.6566147451692867e+08 -1.6112323318574429e+08 -1.5566744179068831e+08 -1.4911754852074850e+08 -1.4127336625499764e+08 -1.3191559381048836e+08 -1.2081608712687896e+08 -1.0775618616706096e+08 -9.2554948137140602e+07 -7.5107470492378980e+07 -5.5430968246998876e+07 -3.3719267837645747e+07 -1.0337548697941903e+07 1.4182332616975894e+07 3.9111715863526367e+07 6.3674973042852059e+07 8.7136928619375184e+07 1.0889007380504730e+08 1.2852061773579860e+08 1.4581436864298624e+08 1.6076723194439891e+08 1.7348260444050306e+08 1.8417999051487806e+08 1.9308061280623034e+08 2.0045444786730465e+08 2.0651479883613870e+08 2.1145512805863848e+08 2.1546309433758008e+08 2.1865914427190495e+08 2.2115045320949888e+08 2.2304473520598546e+08 2.2439750231903246e+08 2.2530851984266859e+08 2.2584289276661822e+08 2.2608596337972221e+08 2.2610806659353167e+08 2.2595873824202073e+08 2.2571642335465804e+08 2.2542973054798228e+08 2.2510723580347148e+08 2.2486222412098882e+08 2.2460933869049838e+08 2.2434894028677180e+08 2.2407530912249690e+08 2.2379276096566194e+08 2.2348964510858762e+08 2.2319473828035381e+08 2.2285474752608022e+08 2.2249095344937789e+08 2.2209667913994667e+08 2.2166671120381126e+08 2.2119471368652678e+08 2.2067354962458569e+08 2.2008926230259329e+08 2.1946148319943041e+08 2.1874032492799348e+08 2.1793189628810462e+08 2.1702448126605609e+08 2.1600547041498664e+08 2.1486186134566608e+08 2.1358061085022345e+08 2.1214372693308955e+08 2.1057092055846992e+08 2.0880966152356184e+08 2.0687665475610250e+08 2.0477636899095076e+08 2.0252527393371981e+08 2.0015138864695597e+08 1.9770804170780626e+08 1.9527131017627290e+08 1.9298748899200210e+08 1.9099716189482197e+08 1.8956608399012542e+08 1.8904760005802071e+08 1.8996620681004289e+08 1.9307440651488677e+08 1.9951318794849056e+08 2.1108648946952024e+08 2.3086479648840228e+08 3.7987186327256060e+08 +3.1008669556519250e+00 -1.8702247445663297e+08 -1.8698816585704744e+08 -1.8693259436495101e+08 -1.8686042740524375e+08 -1.8678838786423394e+08 -1.8674309009549555e+08 -1.8673649673881903e+08 -1.8674835704280812e+08 -1.8675784060244367e+08 -1.8676027248976481e+08 -1.8675751095803499e+08 -1.8674923772762665e+08 -1.8673415808950222e+08 -1.8671114772145453e+08 -1.8667914449043632e+08 -1.8663675356985548e+08 -1.8658231864281148e+08 -1.8651398812386823e+08 -1.8642959189951655e+08 -1.8632652444193134e+08 -1.8620168246935147e+08 -1.8605125458609551e+08 -1.8586952687099102e+08 -1.8564657458122998e+08 -1.8537381817012361e+08 -1.8504706454478797e+08 -1.8465867022717139e+08 -1.8419770538870168e+08 -1.8365107861236459e+08 -1.8300324135336465e+08 -1.8223571804872319e+08 -1.8132652454827830e+08 -1.8024947501722634e+08 -1.7897334639131922e+08 -1.7746089523267621e+08 -1.7566766046071780e+08 -1.7354058925144097e+08 -1.7101643810048133e+08 -1.6802001335278669e+08 -1.6446224971479464e+08 -1.5989380549381182e+08 -1.5440364496830228e+08 -1.4781502919101655e+08 -1.3992776076255974e+08 -1.3052279698671485e+08 -1.1937263137675069e+08 -1.0625973797510280e+08 -9.1004904505137205e+07 -7.3505594790844798e+07 -5.3781962600952253e+07 -3.2031105933811814e+07 -8.6213758389713764e+06 1.5912843239650775e+07 4.0841491362354636e+07 6.5389006297471657e+07 8.8821827794062302e+07 1.1053520411519141e+08 1.3011873315822753e+08 1.4736162616311461e+08 1.6226278235209739e+08 1.7492788726148799e+08 1.8557804151434779e+08 1.9443539413211426e+08 2.0177040054693323e+08 2.0779646118845558e+08 2.1270692713773519e+08 2.1668923642048943e+08 2.1986353373203415e+08 2.2233663128190497e+08 2.2421591959622630e+08 2.2555655309774077e+08 2.2645795421411741e+08 2.2698488019212663e+08 2.2722233224615142e+08 2.2724023542834437e+08 2.2708774790340021e+08 2.2684298095638254e+08 2.2655425876993090e+08 2.2622992727667916e+08 2.2598364106900686e+08 2.2572947700609618e+08 2.2546777751908737e+08 2.2519278494384950e+08 2.2490883276155114e+08 2.2460423422486642e+08 2.2430779292743832e+08 2.2396611241613981e+08 2.2360050985007262e+08 2.2320427501727679e+08 2.2277216851910573e+08 2.2229782280128267e+08 2.2177406530203417e+08 2.2118689275057665e+08 2.2055592012534744e+08 2.1983117109020120e+08 2.1901871642109120e+08 2.1810678166644883e+08 2.1708269449177486e+08 2.1593338765333971e+08 2.1464575289229062e+08 2.1320173069091201e+08 2.1162102024412838e+08 2.0985098325353551e+08 2.0790834193234450e+08 2.0579758730341917e+08 2.0353527118837759e+08 2.0114955237321943e+08 1.9869402538955316e+08 1.9624516712126601e+08 1.9394990101185617e+08 1.9194965325593755e+08 1.9051144356362686e+08 1.8999039870195940e+08 1.9091359169600219e+08 1.9403728704881668e+08 2.0050817394794726e+08 2.1213921742398807e+08 2.3201607580305600e+08 3.7972278032365853e+08 +3.1058352784261833e+00 -1.8599506302288875e+08 -1.8596090653520596e+08 -1.8590558182002303e+08 -1.8583372186243144e+08 -1.8576195920362911e+08 -1.8571677503106946e+08 -1.8571007534593940e+08 -1.8572170839362779e+08 -1.8573093863518700e+08 -1.8573310441052949e+08 -1.8573004552020246e+08 -1.8572143558728921e+08 -1.8570597481080300e+08 -1.8568253065623391e+08 -1.8565003043771732e+08 -1.8560706780466226e+08 -1.8555197222168544e+08 -1.8548287440363929e+08 -1.8539758322308683e+08 -1.8529346868154550e+08 -1.8516739895551634e+08 -1.8501552945115626e+08 -1.8483210582966560e+08 -1.8460713559980232e+08 -1.8433193332915413e+08 -1.8400224033850887e+08 -1.8361037311950448e+08 -1.8314532849753869e+08 -1.8259391603791371e+08 -1.8194047096595901e+08 -1.8116638421524128e+08 -1.8024951925022224e+08 -1.7916351727526361e+08 -1.7787696024732342e+08 -1.7635238672640607e+08 -1.7454509463112730e+08 -1.7240176841603535e+08 -1.6985888363987592e+08 -1.6684095392387775e+08 -1.6325862058547729e+08 -1.5866004503153846e+08 -1.5313560656194347e+08 -1.4650838435267526e+08 -1.3857817705395386e+08 -1.2912620778654537e+08 -1.1792561566347730e+08 -1.0476001685163504e+08 -8.9451936472476661e+07 -7.1901208707428306e+07 -5.2130925059376240e+07 -3.0341446956801686e+07 -6.9042809578938503e+06 1.7643684001724057e+07 4.2571016538496703e+07 6.7102248197759330e+07 9.0505456828368887e+07 1.1217866185036594e+08 1.3171485412522718e+08 1.4890664364498132e+08 1.6375591335175642e+08 1.7637062513272721e+08 1.8697346322268167e+08 1.9578749213316935e+08 2.0308363707747114e+08 2.0907538908430919e+08 2.1395598306984746e+08 2.1791263269028276e+08 2.2106517848083788e+08 2.2352006802455673e+08 2.2538436720805728e+08 2.2671287234493259e+08 2.2760466245693398e+08 2.2812414684706280e+08 2.2835598542123860e+08 2.2836969336801645e+08 2.2821405129198045e+08 2.2796683664699662e+08 2.2767608922002345e+08 2.2734992510674119e+08 2.2710236736704436e+08 2.2684692771747807e+08 2.2658393026551676e+08 2.2630757954929358e+08 2.2602222671612877e+08 2.2571614908968526e+08 2.2541817693277586e+08 2.2507481072504953e+08 2.2470740401540172e+08 2.2430921336979067e+08 2.2387497344695169e+08 2.2339828516917875e+08 2.2287194046152174e+08 2.2228188963585961e+08 2.2164773107938385e+08 2.2091939990235651e+08 2.2010292887016910e+08 2.1918648523342964e+08 2.1815733392127728e+08 2.1700234299088582e+08 2.1570833928811711e+08 2.1425719596055961e+08 2.1266860033757013e+08 2.1088980645892709e+08 2.0893755370670587e+08 2.0681635533823520e+08 2.0454284509467152e+08 2.0214532114972031e+08 1.9967764335122469e+08 1.9721668747124940e+08 1.9491000383409837e+08 1.9289985922860828e+08 1.9145453486617661e+08 1.9093093524735364e+08 1.9185870348545322e+08 1.9499785730056944e+08 2.0150077262706450e+08 2.1318941954347974e+08 2.3316459272674385e+08 3.7957129501806444e+08 +3.1108036012004416e+00 -1.8496299372842580e+08 -1.8492899045803955e+08 -1.8487391119333372e+08 -1.8480236046489483e+08 -1.8473087561035129e+08 -1.8468580525222892e+08 -1.8467899929853263e+08 -1.8469040495363185e+08 -1.8469938179407084e+08 -1.8470128144699568e+08 -1.8469792521472633e+08 -1.8468897865595046e+08 -1.8467313688090217e+08 -1.8464925914864421e+08 -1.8461626223585925e+08 -1.8457272827578911e+08 -1.8451697253258249e+08 -1.8444710803964034e+08 -1.8436092267515644e+08 -1.8425576199610081e+08 -1.8412846566993180e+08 -1.8397515594098717e+08 -1.8379003811090082e+08 -1.8356305203995714e+08 -1.8328540650361261e+08 -1.8295277729448789e+08 -1.8255744096767610e+08 -1.8208832113731205e+08 -1.8153212851986763e+08 -1.8087308232215247e+08 -1.8009244023737076e+08 -1.7916791367653313e+08 -1.7807297130114558e+08 -1.7677600061908928e+08 -1.7523932285978824e+08 -1.7341799579559207e+08 -1.7125844224467748e+08 -1.6869685820942912e+08 -1.6565746633431250e+08 -1.6205061675042701e+08 -1.5742198232609069e+08 -1.5186335811990315e+08 -1.4519764669009164e+08 -1.3722464905455515e+08 -1.2772586145747405e+08 -1.1647507659745045e+08 -1.0325706074521732e+08 -8.7896083210517898e+07 -7.0294352404483452e+07 -5.0477896409900323e+07 -2.8650331822308250e+07 -5.1863044986696281e+06 1.9374815573526565e+07 4.4300253781238899e+07 6.8814663338450417e+07 9.2187782831445560e+07 1.1382041674647945e+08 1.3330895293501809e+08 1.5044939575386739e+08 1.6524660170615965e+08 1.7781079661928275e+08 1.8836623571962839e+08 1.9713688814428675e+08 2.0439413982493496e+08 2.1035156573213074e+08 2.1520227975030833e+08 2.1913326759940013e+08 2.2226406342129594e+08 2.2470074870167309e+08 2.2655006359230855e+08 2.2786644583624256e+08 2.2874863051924321e+08 2.2926067880867082e+08 2.2948690907592502e+08 2.2949642665059179e+08 2.2933763469295004e+08 2.2908797674593547e+08 2.2879520824452907e+08 2.2846721566312262e+08 2.2821838940033892e+08 2.2796167722573051e+08 2.2769738494281182e+08 2.2741967937191358e+08 2.2713292927909553e+08 2.2682537617155486e+08 2.2652587678297210e+08 2.2618082896025744e+08 2.2581162247466752e+08 2.2541148075040990e+08 2.2497511256650293e+08 2.2449608739773330e+08 2.2396716174197468e+08 2.2337423963192409e+08 2.2273690277437374e+08 2.2200499812087515e+08 2.2118452044049019e+08 2.2026357882717049e+08 2.1922937562516299e+08 2.1806871434895208e+08 2.1676835710612935e+08 2.1531010989732927e+08 2.1371364809016964e+08 2.1192611849741876e+08 2.0996427755371407e+08 2.0783266069721502e+08 2.0554798339045426e+08 2.0313868285788706e+08 2.0065888362237957e+08 1.9818585940278822e+08 1.9586778577452990e+08 1.9384776824886423e+08 1.9239534642028576e+08 1.9186919824829903e+08 1.9280153067617372e+08 1.9595610558021408e+08 2.0249097190614778e+08 2.1423708304701579e+08 2.3431033328235239e+08 3.7941741711372656e+08 +3.1157719239746999e+00 -1.8392629306926847e+08 -1.8389244059661064e+08 -1.8383760907784107e+08 -1.8376636764508310e+08 -1.8369516121010166e+08 -1.8365020510695091e+08 -1.8364329292716467e+08 -1.8365447105092150e+08 -1.8366319442060581e+08 -1.8366482794325146e+08 -1.8366117439365673e+08 -1.8365189129595259e+08 -1.8363566867203847e+08 -1.8361135758197585e+08 -1.8357786428229550e+08 -1.8353375939701340e+08 -1.8347734400828463e+08 -1.8340671348675486e+08 -1.8331963473774755e+08 -1.8321342889864001e+08 -1.8308490716220099e+08 -1.8293015864854482e+08 -1.8274334835909024e+08 -1.8251434860744026e+08 -1.8223426247400168e+08 -1.8189870028232729e+08 -1.8149989874672899e+08 -1.8102670840731296e+08 -1.8046574130362740e+08 -1.7980110083766386e+08 -1.7901391173092386e+08 -1.7808173367691740e+08 -1.7697786321717486e+08 -1.7567049394629478e+08 -1.7412173044163767e+08 -1.7228639118973035e+08 -1.7011063846700639e+08 -1.6753039010582751e+08 -1.6446957952995548e+08 -1.6083826789448401e+08 -1.5617964796255964e+08 -1.5058693124266082e+08 -1.4388284893237591e+08 -1.3586721072508863e+08 -1.2632179327171102e+08 -1.1502105080009073e+08 -1.0175090759983183e+08 -8.6337383868103176e+07 -6.8685066001383454e+07 -4.8822917375178128e+07 -2.6957801358411044e+07 -3.4674867959956378e+06 2.1106198753953990e+07 4.6029165623853147e+07 7.0526216468964458e+07 9.3868773072725907e+07 1.1546043870100765e+08 1.3490100204477024e+08 1.5198985730990696e+08 1.6673482432780164e+08 1.7924838042952779e+08 1.8975633922258773e+08 1.9848356363243067e+08 2.0570189128281972e+08 2.1162497446445581e+08 2.1644580119436684e+08 2.2035112571783480e+08 2.2346017357108393e+08 2.2587865869026855e+08 2.2771299441202816e+08 2.2901725945802519e+08 2.2988984445852768e+08 2.3039446226294056e+08 2.3061508948965093e+08 2.3062042162175265e+08 2.3045848449921533e+08 2.3020638768032581e+08 2.2991160229713523e+08 2.2958178542239317e+08 2.2933169366066849e+08 2.2907371203810799e+08 2.2880812807395568e+08 2.2852907095122334e+08 2.2824092700747016e+08 2.2793190204444799e+08 2.2763087907120469e+08 2.2728415373526821e+08 2.2691315186292380e+08 2.2651106381781626e+08 2.2607257256211618e+08 2.2559121619959331e+08 2.2505971588733372e+08 2.2446392951769787e+08 2.2382342202771273e+08 2.2308795260634407e+08 2.2226347804116312e+08 2.2133804941121230e+08 2.2029880662809494e+08 2.1913248882067746e+08 2.1782579351613122e+08 2.1636045975696877e+08 2.1475615085285175e+08 2.1295990682595038e+08 2.1098850104651582e+08 2.0884649107966936e+08 2.0655067391006511e+08 2.0412962547461835e+08 2.0163773432657179e+08 1.9915267118543735e+08 1.9682323524070969e+08 1.9479336884398669e+08 1.9333386683899462e+08 1.9280517634813163e+08 1.9374206185687557e+08 1.9691202028968015e+08 2.0347875980010921e+08 2.1528219525445664e+08 2.3545328360262841e+08 3.7926115637279457e+08 +3.1207402467489582e+00 -1.8288498323581856e+08 -1.8285128256794870e+08 -1.8279669990931791e+08 -1.8272576710069340e+08 -1.8265484022428387e+08 -1.8260999894009334e+08 -1.8260298062530884e+08 -1.8261393109628579e+08 -1.8262240093922687e+08 -1.8262376832735306e+08 -1.8261981749299902e+08 -1.8261019795284003e+08 -1.8259359464005664e+08 -1.8256885042350468e+08 -1.8253486105792615e+08 -1.8249018566604218e+08 -1.8243311116544247e+08 -1.8236171528422746e+08 -1.8227374397592735e+08 -1.8216649398566517e+08 -1.8203674806583548e+08 -1.8188056225039402e+08 -1.8169206130199468e+08 -1.8146105009112060e+08 -1.8117852610306966e+08 -1.8084003425423631e+08 -1.8043777151426277e+08 -1.7996051548875213e+08 -1.7939477971538147e+08 -1.7872455200944525e+08 -1.7793082439197466e+08 -1.7699100517995638e+08 -1.7587821922367138e+08 -1.7456046674585289e+08 -1.7299963635578555e+08 -1.7115030812337300e+08 -1.6895838488333061e+08 -1.6635950769450489e+08 -1.6327732252268067e+08 -1.5962160376451790e+08 -1.5493307258342656e+08 -1.4930635758151534e+08 -1.4256402385196421e+08 -1.3450589606052759e+08 -1.2491403852459967e+08 -1.1356357490280305e+08 -1.0024159535376038e+08 -8.4775877570107937e+07 -6.7073389573162422e+07 -4.7166028611652687e+07 -2.5263896304563973e+07 -1.7478680743508642e+06 2.2837794471195616e+07 4.7757714744130023e+07 7.2236872493531913e+07 9.5548394982228428e+07 1.1709869777314578e+08 1.3649097407143071e+08 1.5352800328826532e+08 1.6822055827784339e+08 1.8068335541467750e+08 1.9114375408567703e+08 1.9982750019683021e+08 2.0700687407220608e+08 2.1289559873680410e+08 2.1768653153734148e+08 2.2156619173271015e+08 2.2465349406281543e+08 2.2705378348137772e+08 2.2887314544163451e+08 2.3016529920681548e+08 2.3102829044222879e+08 2.3152548350469345e+08 2.3174051304992864e+08 2.3174166473549911e+08 2.3157658721115884e+08 2.3132205598465714e+08 2.3102525793866783e+08 2.3069362096801662e+08 2.3044226674739072e+08 2.3018301876935783e+08 2.2991614628936914e+08 2.2963574093382844e+08 2.2934620656368122e+08 2.2903571338920093e+08 2.2873317049631357e+08 2.2838477176897177e+08 2.2801197892114276e+08 2.2760794933642206e+08 2.2716734022366783e+08 2.2668365839279652e+08 2.2614958974643677e+08 2.2555094617632934e+08 2.2490727576065767e+08 2.2416825032311216e+08 2.2333978868486261e+08 2.2240988405204591e+08 2.2136561405717188e+08 2.2019365360158139e+08 2.1888063578995025e+08 2.1740823289650097e+08 2.1579609607770193e+08 2.1399115900110927e+08 2.1201021185660994e+08 2.0985783428206742e+08 2.0755090458429706e+08 2.0511813707189399e+08 2.0261418368111187e+08 2.0011711118168643e+08 1.9777634073193109e+08 1.9573664963149306e+08 1.9427008482534966e+08 1.9373885828049025e+08 1.9468028570603138e+08 1.9786558992247814e+08 2.0446412441913682e+08 2.1632474358554354e+08 2.3659342992984462e+08 3.7910252256134713e+08 +3.1257085695232165e+00 -1.8183908945558089e+08 -1.8180554257319123e+08 -1.8175120756963813e+08 -1.8168058435009015e+08 -1.8160993735458702e+08 -1.8156521119652754e+08 -1.8155808686349007e+08 -1.8156880958573782e+08 -1.8157702585685354e+08 -1.8157812710917875e+08 -1.8157387903223971e+08 -1.8156392315548241e+08 -1.8154693932383546e+08 -1.8152176222329253e+08 -1.8148727712692049e+08 -1.8144203166321206e+08 -1.8138429860346484e+08 -1.8131213805365425e+08 -1.8122327503766620e+08 -1.8111498193634081e+08 -1.8098401309657747e+08 -1.8082639150518912e+08 -1.8063620174927041e+08 -1.8040318136169028e+08 -1.8011822233587155e+08 -1.7977680424378425e+08 -1.7937108440855196e+08 -1.7888976764337069e+08 -1.7831926916151077e+08 -1.7764346141312879e+08 -1.7684320399484679e+08 -1.7589575419203317e+08 -1.7477406559781981e+08 -1.7344594560962617e+08 -1.7187306756046468e+08 -1.7000977397811285e+08 -1.6780170936489198e+08 -1.6518423940863517e+08 -1.6208072438855088e+08 -1.5840065416780210e+08 -1.5368228688661787e+08 -1.4802166883787352e+08 -1.4124120426367322e+08 -1.3314073908907463e+08 -1.2350263253336988e+08 -1.1210268554546611e+08 -9.8729161938100189e+07 -8.3211603416059434e+07 -6.5459363149229310e+07 -4.5507270708320566e+07 -2.3568657310408115e+07 -2.7488447043244552e+04 2.4569563783529960e+07 4.9485863965061359e+07 7.3946596472134575e+07 9.7226616150832936e+07 1.1873516418379055e+08 1.3807884179107827e+08 1.5506380881881163e+08 1.6970378076674962e+08 1.8211570056913459e+08 1.9252846080070180e+08 2.0116867956844786e+08 2.0830907094113350e+08 2.1416342212824270e+08 2.1892445503508124e+08 2.2277845044864735e+08 2.2584401014461130e+08 2.2822610867809969e+08 2.3003050256740555e+08 2.3131055119004351e+08 2.3216395474723610e+08 2.3265372893776897e+08 2.3286316625287515e+08 2.3286014255339283e+08 2.3269192943711239e+08 2.3243496830051613e+08 2.3213616183716598e+08 2.3180270899081096e+08 2.3155009536643267e+08 2.3128958414032164e+08 2.3102142632510719e+08 2.3073967607217252e+08 2.3044875471748713e+08 2.3013679699264130e+08 2.2983273786372378e+08 2.2948266988694185e+08 2.2910809049575159e+08 2.2870212417602116e+08 2.2825940244634476e+08 2.2777340090013400e+08 2.2723677027327096e+08 2.2663527659579781e+08 2.2598845099954617e+08 2.2524587833970630e+08 2.2441343948752129e+08 2.2347906991950986e+08 2.2242978514262894e+08 2.2125219598894703e+08 2.1993287130055189e+08 2.1845341677348873e+08 2.1683347131562340e+08 2.1501986267814842e+08 2.1302939775381690e+08 2.1086667819833353e+08 2.0854866343964472e+08 2.0610420581684116e+08 2.0358821999777004e+08 2.0107916784670213e+08 1.9872709083922976e+08 1.9667759932010195e+08 1.9520398917243978e+08 1.9467023286911041e+08 1.9561619099289373e+08 1.9881680306387541e+08 2.0544705396779394e+08 2.1736471556043088e+08 2.3773075861644301e+08 3.7894152544911617e+08 +3.1306768922974748e+00 -1.8078863588810140e+08 -1.8075524100779584e+08 -1.8070115661177117e+08 -1.8063084347806817e+08 -1.8056047694570875e+08 -1.8051586645452482e+08 -1.8050863620544162e+08 -1.8051913110100311e+08 -1.8052709376153463e+08 -1.8052792888054085e+08 -1.8052338361276418e+08 -1.8051309151424190e+08 -1.8049572734353063e+08 -1.8047011761352256e+08 -1.8043513713508090e+08 -1.8038932205049604e+08 -1.8033093100317127e+08 -1.8025800649822965e+08 -1.8016825265255752e+08 -1.8005891751106873e+08 -1.7992672705103803e+08 -1.7976767125334367e+08 -1.7957579459163100e+08 -1.7934076737100238e+08 -1.7905337619768426e+08 -1.7870903536475056e+08 -1.7829986264809513e+08 -1.7781449021220636e+08 -1.7723923512737906e+08 -1.7655785470336360e+08 -1.7575107639176765e+08 -1.7479600679664454e+08 -1.7366542869243988e+08 -1.7232695720445159e+08 -1.7074205108680823e+08 -1.6886481620707536e+08 -1.6664063985151750e+08 -1.6400461374791744e+08 -1.6087981426724955e+08 -1.5717544897158223e+08 -1.5242732162476200e+08 -1.4673289676068342e+08 -1.3991442302279308e+08 -1.3177177387025408e+08 -1.2208761063556890e+08 -1.1063841937515181e+08 -9.7213645275334761e+07 -8.1644600478718638e+07 -6.3843026712118208e+07 -4.3846684185536176e+07 -2.1872124934766266e+07 1.6936120847280950e+06 2.6301467880113043e+07 5.1213576255285941e+07 7.5655353620321050e+07 9.8903404330369666e+07 1.2036980831582369e+08 1.3966457813931748e+08 1.5659724918603313e+08 1.7118446915414318e+08 1.8354539503047061e+08 1.9391043999656427e+08 2.0250708361003450e+08 2.0960846476511580e+08 2.1542842834117433e+08 2.2015955606255689e+08 2.2398788678682888e+08 2.2703170717887273e+08 2.2939561999725106e+08 2.3118505178689608e+08 2.3245300162475866e+08 2.3329682375945142e+08 2.3377918507450652e+08 2.3398303570238653e+08 2.3397584174490145e+08 2.3380449789220890e+08 2.3354511137684539e+08 2.3324430076752570e+08 2.3290903628794327e+08 2.3265516633030060e+08 2.3239339497908276e+08 2.3212395502456406e+08 2.3184086322516358e+08 2.3154855834423429e+08 2.3123513974746901e+08 2.3092956808446398e+08 2.3057783502000520e+08 2.3020147353926373e+08 2.2979357531172204e+08 2.2934874623044512e+08 2.2886043074981886e+08 2.2832124452598283e+08 2.2771690786832470e+08 2.2706693487402722e+08 2.2632082382836404e+08 2.2548441766892079e+08 2.2454559428614452e+08 2.2349130721639928e+08 2.2230810338201052e+08 2.2098248752260342e+08 2.1949599894615605e+08 2.1786826421820277e+08 2.1604600561160186e+08 2.1404604660566711e+08 2.1187301081912324e+08 2.0954393859927672e+08 2.0708781997158477e+08 2.0455983168163905e+08 2.0203882972827521e+08 1.9967547424513328e+08 1.9761620670914888e+08 1.9613556876319742e+08 1.9559928902682623e+08 1.9654976657660556e+08 1.9976564839100143e+08 2.0642753674558911e+08 2.1840209879931393e+08 2.3886525612360451e+08 3.7877817480921823e+08 +3.1356452150717331e+00 -1.7973364876625648e+08 -1.7970040736419553e+08 -1.7964657133175397e+08 -1.7957656991758808e+08 -1.7950648396647894e+08 -1.7946198938530868e+08 -1.7945465330987501e+08 -1.7946492030875391e+08 -1.7947262932122162e+08 -1.7947319831396925e+08 -1.7946835591725841e+08 -1.7945772772018299e+08 -1.7943998340033111e+08 -1.7941394130709493e+08 -1.7937846580856618e+08 -1.7933208157079849e+08 -1.7927303312621424e+08 -1.7919934540181267e+08 -1.7910870163035703e+08 -1.7899832555083969e+08 -1.7886491480637649e+08 -1.7870442641422111e+08 -1.7851086479991287e+08 -1.7827383314985445e+08 -1.7798401279302734e+08 -1.7763675280998042e+08 -1.7722413152969554e+08 -1.7673470861487019e+08 -1.7615470317634553e+08 -1.7546775761144325e+08 -1.7465446751129010e+08 -1.7369178915260133e+08 -1.7255233493500036e+08 -1.7120352827040654e+08 -1.6960661403759518e+08 -1.6771546233347008e+08 -1.6547520435100642e+08 -1.6282065927707973e+08 -1.5967462136028916e+08 -1.5594601810076448e+08 -1.5116820760338202e+08 -1.4544007314612496e+08 -1.3858371302402616e+08 -1.3039903449377319e+08 -1.2066900818789463e+08 -1.0917081304440853e+08 -9.5695083277929872e+07 -8.0074907803001866e+07 -6.2224420196155317e+07 -4.2184309493762702e+07 -2.0174339644511875e+07 3.4153936328021954e+06 2.8033468081725873e+07 5.2940814729880117e+07 7.7363109310141906e+07 1.0057872743418758e+08 1.2200260071425813e+08 1.4124815621138805e+08 1.5812829982953119e+08 1.7266260094826934e+08 1.8497241807855994e+08 1.9528967243875900e+08 2.0384269431619239e+08 2.1090503854643476e+08 2.1669060120097059e+08 2.2139181911498952e+08 2.2519448578607410e+08 2.2821657064304382e+08 2.3056230326814663e+08 2.3233677920914048e+08 2.3359263683863965e+08 2.3442688397416511e+08 2.3490183853566456e+08 2.3510010811061379e+08 2.3508874908693844e+08 2.3491427939966995e+08 2.3465247206975013e+08 2.3434966161157611e+08 2.3401258976365113e+08 2.3375746655796671e+08 2.3349443821926963e+08 2.3322371933677548e+08 2.3293928935809663e+08 2.3264560442553380e+08 2.3233072865258658e+08 2.3202364817533216e+08 2.3167025420445019e+08 2.3129211510904214e+08 2.3088228982417798e+08 2.3043535868146628e+08 2.2994473507450527e+08 2.2940299966759294e+08 2.2879582719046676e+08 2.2814271461834452e+08 2.2739307406489187e+08 2.2655271055179742e+08 2.2560944452755287e+08 2.2455016771330571e+08 2.2336136328219080e+08 2.2202947203136897e+08 2.2053596707334876e+08 2.1890046253656322e+08 2.1706957565546104e+08 2.1506014637846258e+08 2.1287682023282531e+08 2.1053671828207996e+08 2.0806896789295551e+08 2.0552900723187518e+08 2.0299608546698350e+08 2.0062147972358853e+08 1.9855246068803522e+08 1.9706481257074592e+08 1.9652601575645411e+08 1.9748100140621412e+08 2.0071211467210969e+08 2.0740556114646724e+08 2.1943688102279335e+08 2.3999690902271688e+08 3.7861248041788292e+08 +3.1406135378459914e+00 -1.7867415129498592e+08 -1.7864106351407471e+08 -1.7858747692170089e+08 -1.7851778738649642e+08 -1.7844798305681947e+08 -1.7840360472884667e+08 -1.7839616291906485e+08 -1.7840620195740891e+08 -1.7841365728219742e+08 -1.7841396016190559e+08 -1.7840882070813414e+08 -1.7839785654345739e+08 -1.7837973227482855e+08 -1.7835325809622002e+08 -1.7831728795366016e+08 -1.7827033504620630e+08 -1.7821062981364408e+08 -1.7813617962748027e+08 -1.7804464686033410e+08 -1.7793323097529933e+08 -1.7779860131901470e+08 -1.7763668198699415e+08 -1.7744143742326033e+08 -1.7720240380827361e+08 -1.7691015730514523e+08 -1.7655998185020006e+08 -1.7614391642822593e+08 -1.7565044834799969e+08 -1.7506569894802055e+08 -1.7437319594516820e+08 -1.7355340335737270e+08 -1.7258312749318546e+08 -1.7143481082641432e+08 -1.7007568561982167e+08 -1.6846678358665100e+08 -1.6656173994908121e+08 -1.6430543093781009e+08 -1.6163240462470505e+08 -1.5846517493000200e+08 -1.5471239153734320e+08 -1.4990497567985979e+08 -1.4414322983632272e+08 -1.3724910720013878e+08 -1.2902255507836890e+08 -1.1924686056468056e+08 -1.0769990321052852e+08 -9.4173513847222522e+07 -7.8502564404379979e+07 -6.0603583486201689e+07 -4.0520187012515187e+07 -1.8475341813516498e+07 5.1378164229744626e+06 2.9765525841533959e+07 5.4667542650692567e+07 7.9069829070046470e+07 1.0225255353710687e+08 1.2363351208627623e+08 1.4282954926193184e+08 1.5965693634354460e+08 1.7413815380672142e+08 1.8639674913642547e+08 1.9666613903023100e+08 2.0517549381309792e+08 2.1219877541483822e+08 2.1794992465585485e+08 2.2262122880708775e+08 2.2639823260171258e+08 2.2939858612875146e+08 2.3172614443296662e+08 2.3348567105442768e+08 2.3472944326950890e+08 2.3555412199596289e+08 2.3602167605065295e+08 2.3621437029750490e+08 2.3619885146426889e+08 2.3602126088927054e+08 2.3575703734217468e+08 2.3545223135803968e+08 2.3511335642860699e+08 2.3485698307517076e+08 2.3459270090174663e+08 2.3432070631762919e+08 2.3403494154247758e+08 2.3373988004904512e+08 2.3342355081274736e+08 2.3311496525901970e+08 2.3275991458256701e+08 2.3238000236815131e+08 2.3196825489903414e+08 2.3151922700998056e+08 2.3102630111170891e+08 2.3048202296594760e+08 2.2987202186333162e+08 2.2921577757022789e+08 2.2846261642885074e+08 2.2761830556205687e+08 2.2667060812212968e+08 2.2560635417064878e+08 2.2441196329237476e+08 2.2307381250396061e+08 2.2157330891461846e+08 2.1993005412189558e+08 2.1809056076177457e+08 2.1607168513595089e+08 2.1387809462428075e+08 2.1152699080281809e+08 2.0904763803273740e+08 2.0649573524101815e+08 2.0395092379541534e+08 2.0156509614021239e+08 1.9948635023734605e+08 1.9799170965769601e+08 1.9745040215024930e+08 1.9840988452105850e+08 2.0165619076727518e+08 2.0838111565911233e+08 2.2046905005136022e+08 2.4112570399405313e+08 3.7844445205418664e+08 +3.1455818606202497e+00 -1.7761016774719492e+08 -1.7757723382801709e+08 -1.7752389818479902e+08 -1.7745452092272618e+08 -1.7738499913458407e+08 -1.7734073729762101e+08 -1.7733318984820917e+08 -1.7734300087300682e+08 -1.7735020246870592e+08 -1.7735023925590330e+08 -1.7734480282610211e+08 -1.7733350283302239e+08 -1.7731499882601491e+08 -1.7728809285212150e+08 -1.7725162845462856e+08 -1.7720410737745094e+08 -1.7714374598471993e+08 -1.7706853411670017e+08 -1.7697611330977887e+08 -1.7686365878294402e+08 -1.7672781162283078e+08 -1.7656446304846171e+08 -1.7636753758882418e+08 -1.7612650453326601e+08 -1.7583183499395555e+08 -1.7547874783335909e+08 -1.7505924279485103e+08 -1.7456173498439130e+08 -1.7397224815790406e+08 -1.7327419558715126e+08 -1.7244791000832418e+08 -1.7147004812502262e+08 -1.7031288293974867e+08 -1.6894345613545671e+08 -1.6732258697672313e+08 -1.6540367671332613e+08 -1.6313134775178525e+08 -1.6043987848242936e+08 -1.5725150429811445e+08 -1.5347459931904140e+08 -1.4863765676229236e+08 -1.4284239871755999e+08 -1.3591063852102840e+08 -1.2764236977005860e+08 -1.1782120315657690e+08 -1.0622572653359501e+08 -9.2648974871610850e+07 -7.6927609267647058e+07 -5.8980556416390628e+07 -3.8854357048993826e+07 -1.6775171721644836e+07 6.8608407958980156e+06 3.1497602745738763e+07 5.6393723427039690e+07 8.0775478585843936e+07 1.0392485087576273e+08 1.2526251330144334e+08 1.4440873070519769e+08 1.6118313447689071e+08 1.7561110553522372e+08 1.8781836776978040e+08 1.9803982081032991e+08 2.0650546435812321e+08 2.1348965862632638e+08 2.1920638277688122e+08 2.2384776987320745e+08 2.2759911250585851e+08 2.3057773934253913e+08 2.3288712954667670e+08 2.3463171365407193e+08 2.3586340746491644e+08 2.3667852453866071e+08 2.3713868445725086e+08 2.3732580919072616e+08 2.3730613586842442e+08 2.3712542939825401e+08 2.3685879426418224e+08 2.3655199710207182e+08 2.3621132339992768e+08 2.3595370301421085e+08 2.3568817017314222e+08 2.3541490312866592e+08 2.3512780695550328e+08 2.3483137240820578e+08 2.3451359343819889e+08 2.3420350656357902e+08 2.3384680340210512e+08 2.3346512258494589e+08 2.3305145782715422e+08 2.3260033853088623e+08 2.3210511620393726e+08 2.3155830179266688e+08 2.3094547929181248e+08 2.3028611117168739e+08 2.2952943840312371e+08 2.2868119022923517e+08 2.2772907265078846e+08 2.2665985422730872e+08 2.2545989111720660e+08 2.2411549671815944e+08 2.2260801232951358e+08 2.2095702692441711e+08 2.1910894898211262e+08 2.1708065103995648e+08 2.1487682227548182e+08 2.1251474457221246e+08 2.1002381893754578e+08 2.0746000439528343e+08 2.0490333353901571e+08 2.0250631245162672e+08 2.0041786442742038e+08 1.9891624917635652e+08 1.9837243738988578e+08 1.9933640505028018e+08 2.0259786562772149e+08 2.0935418886634332e+08 2.2149859380515862e+08 2.4225162782763967e+08 3.7827409949978483e+08 +3.1505501833945080e+00 -1.7654172733362499e+08 -1.7650894449507067e+08 -1.7645586026586142e+08 -1.7638679668826845e+08 -1.7631755679426202e+08 -1.7627341199837568e+08 -1.7626575898355037e+08 -1.7627534195584157e+08 -1.7628228978099459e+08 -1.7628206050557351e+08 -1.7627632718956622e+08 -1.7626469151505810e+08 -1.7624580799014807e+08 -1.7621847052297276e+08 -1.7618151227341610e+08 -1.7613342354201332e+08 -1.7607240663612151e+08 -1.7599643388811359e+08 -1.7590312602317610e+08 -1.7578963404869214e+08 -1.7565257082909516e+08 -1.7548779475211048e+08 -1.7528919050026369e+08 -1.7504616058861434e+08 -1.7474907119603345e+08 -1.7439307618281028e+08 -1.7397013615596113e+08 -1.7346859417174992e+08 -1.7287437659581733e+08 -1.7217078249341607e+08 -1.7133801361505428e+08 -1.7035257742697030e+08 -1.6918657791908193e+08 -1.6780686677042124e+08 -1.6617405151907307e+08 -1.6424130035221651e+08 -1.6195298299691620e+08 -1.5924310960322982e+08 -1.5603363884498951e+08 -1.5223267153796571e+08 -1.4736628180814275e+08 -1.4153761171908814e+08 -1.3456833999145779e+08 -1.2625851274125741e+08 -1.1639207136930925e+08 -1.0474831967536508e+08 -9.1121504225765616e+07 -7.5350081345648304e+07 -5.7355378768926635e+07 -3.7186859837205753e+07 -1.5073869553639483e+07 8.5844272079927959e+06 3.3229660514491867e+07 5.8119320616284057e+07 8.2480023700561985e+07 1.0559558784897061e+08 1.2688957539180428e+08 1.4598567411517829e+08 1.6270687013312933e+08 1.7708143408916652e+08 1.8923725368686241e+08 1.9941069895527387e+08 2.0783258834043434e+08 2.1477767156381363e+08 2.2045995975835162e+08 2.2507142716685599e+08 2.2879711088728473e+08 2.3175401610523942e+08 2.3404524477650389e+08 2.3577489345067340e+08 2.3699451608252090e+08 2.3780007842445222e+08 2.3825285070112103e+08 2.3843441182606706e+08 2.3841058939905107e+08 2.3822677207093188e+08 2.3795773001199424e+08 2.3764894604577672e+08 2.3730647790148407e+08 2.3704761361323977e+08 2.3678083328671622e+08 2.3650629703770694e+08 2.3621787288032323e+08 2.3592006880215281e+08 2.3560084384501901e+08 2.3528925942271575e+08 2.3493090801570708e+08 2.3454746313289225e+08 2.3413188600403491e+08 2.3367868066463351e+08 2.3318116779757205e+08 2.3263182362443402e+08 2.3201618698477963e+08 2.3135370296826950e+08 2.3059352757447070e+08 2.2974135218525451e+08 2.2878482579739973e+08 2.2771065562507609e+08 2.2650513456275216e+08 2.2515451255269471e+08 2.2364006527795705e+08 2.2198136899451581e+08 2.2012472846627656e+08 2.1808703235023275e+08 2.1587299156515083e+08 2.1349996809694517e+08 2.1099749924821222e+08 2.0842180347440290e+08 2.0585330361530080e+08 2.0344511770578328e+08 2.0134699241929933e+08 1.9983842036877698e+08 1.9929211074645948e+08 2.0026055221266624e+08 2.0353712829610869e+08 2.1032476944517091e+08 2.2252550030414796e+08 2.4337466742169696e+08 3.7810143253864890e+08 +3.1555185061687663e+00 -1.7546884811032739e+08 -1.7543622164476329e+08 -1.7538338823595208e+08 -1.7531463811368370e+08 -1.7524568109385124e+08 -1.7520165382128462e+08 -1.7519389528874299e+08 -1.7520325017859104e+08 -1.7520994419585761e+08 -1.7520944889746863e+08 -1.7520341879290259e+08 -1.7519144759196001e+08 -1.7517218477997795e+08 -1.7514441613343215e+08 -1.7510696444802147e+08 -1.7505830859419915e+08 -1.7499663684060201e+08 -1.7491990403632641e+08 -1.7482571012096566e+08 -1.7471118192352211e+08 -1.7457290412445536e+08 -1.7440670232671541e+08 -1.7420642143654594e+08 -1.7396139731275913e+08 -1.7366189132234526e+08 -1.7330299239687452e+08 -1.7287662211264345e+08 -1.7237105163156709e+08 -1.7177211012497863e+08 -1.7106298269340414e+08 -1.7022374040093964e+08 -1.6923074184886289e+08 -1.6805592247854653e+08 -1.6666594454627398e+08 -1.6502120459226686e+08 -1.6307463865676612e+08 -1.6077036494014013e+08 -1.5804212680023962e+08 -1.5481160800760713e+08 -1.5098663833917210e+08 -1.4609088182254359e+08 -1.4022890081206042e+08 -1.3322224465077242e+08 -1.2487101818906794e+08 -1.1495950062228715e+08 -1.0326771929784152e+08 -8.9591139768838286e+07 -7.3770019558070093e+07 -5.5728090272784561e+07 -3.5517735536417313e+07 -1.3371475398072807e+07 1.0308536232320230e+07 3.4961661002391383e+07 5.9844297924390897e+07 8.4183430415197864e+07 1.0726473301761569e+08 1.2851466955170000e+08 1.4756035322523546e+08 1.6422811937061027e+08 1.7854911757169637e+08 1.9065338673819974e+08 2.0077875477780095e+08 2.0915684828006759e+08 2.1606279773685169e+08 2.2171063991654837e+08 2.2629218566096103e+08 2.2999221325135937e+08 2.3292740235192665e+08 2.3520047640208462e+08 2.3691519699758604e+08 2.3812275588949499e+08 2.3891877058498102e+08 2.3936416183652809e+08 2.3954016534626880e+08 2.3951219926238990e+08 2.3932527615801087e+08 2.3905383186939439e+08 2.3874306549741203e+08 2.3839880726324907e+08 2.3813870221661183e+08 2.3787067760108718e+08 2.3759487541844898e+08 2.3730512670647335e+08 2.3700595663583165e+08 2.3668528945509800e+08 2.3637221127539125e+08 2.3601221588159043e+08 2.3562701149021029e+08 2.3520952693042231e+08 2.3475424093562344e+08 2.3425444344409472e+08 2.3370257604127622e+08 2.3308413255543551e+08 2.3241854060909528e+08 2.3165487163210508e+08 2.3079877916528463e+08 2.2983785534771606e+08 2.2875874620711595e+08 2.2754768153690031e+08 2.2619084798753291e+08 2.2466945582019663e+08 2.2300306848153344e+08 2.2113788746277204e+08 2.1909081742387640e+08 2.1686659096861029e+08 2.1448264997849908e+08 2.1196866770037156e+08 2.0938112135141766e+08 2.0680082303415641e+08 2.0438150104183984e+08 2.0227372346378413e+08 2.0075821256659031e+08 2.0020941158047611e+08 2.0118231531670809e+08 2.0447396790615243e+08 2.1129284616719696e+08 2.2354975766802436e+08 2.4449480978439096e+08 3.7792646095680308e+08 +3.1604868289430246e+00 -1.7439156047027606e+08 -1.7435908874628273e+08 -1.7430650594502088e+08 -1.7423807031360021e+08 -1.7416939735681945e+08 -1.7412548782677367e+08 -1.7411762381257349e+08 -1.7412675058759570e+08 -1.7413319076567534e+08 -1.7413242949398798e+08 -1.7412610270546812e+08 -1.7411379614175007e+08 -1.7409415428298017e+08 -1.7406595478391913e+08 -1.7402801009167379e+08 -1.7397878766311362e+08 -1.7391646174611518e+08 -1.7383896973098427e+08 -1.7374389079872477e+08 -1.7362832763321936e+08 -1.7348883677054572e+08 -1.7332121107625735e+08 -1.7311925575100681e+08 -1.7287224011907542e+08 -1.7257032085821205e+08 -1.7220852204725102e+08 -1.7177872633897281e+08 -1.7126913315819138e+08 -1.7066547468057486e+08 -1.6995082228742108e+08 -1.6910511665974104e+08 -1.6810456791027319e+08 -1.6692094340110499e+08 -1.6552071655202702e+08 -1.6386407364028502e+08 -1.6190371948218068e+08 -1.5958352191039592e+08 -1.5683695894605833e+08 -1.5358544127923018e+08 -1.4973652991994306e+08 -1.4481148785785249e+08 -1.3891629800805321e+08 -1.3187238557088786e+08 -1.2347992033416274e+08 -1.1352352634725980e+08 -1.0178396206220718e+08 -8.8057919343415111e+07 -7.2187462789862633e+07 -5.4098730602415055e+07 -3.3847024230419345e+07 -1.1668029246414270e+07 1.2033128559466587e+07 3.6693566199333183e+07 6.1568619206177771e+07 8.5885664888736427e+07 1.0893225510542935e+08 1.3013776713841520e+08 1.4913274192852908e+08 1.6574685840193513e+08 1.8001413423517463e+08 1.9206674691684937e+08 2.0214396972708896e+08 2.1047822682858509e+08 2.1734502078145626e+08 2.2295840769045049e+08 2.2751003044789290e+08 2.3118440521983522e+08 2.3409788413152263e+08 2.3635281081570691e+08 2.3805261095877668e+08 2.3924811376248592e+08 2.4003458806005791e+08 2.4047260502529925e+08 2.4064305700193760e+08 2.4061095277201021e+08 2.4042092901741940e+08 2.4014708722590747e+08 2.3983434287176505e+08 2.3948829892086527e+08 2.3922695627520016e+08 2.3895769058142444e+08 2.3868062575059247e+08 2.3838955592806038e+08 2.3808902341963464e+08 2.3776691779476008e+08 2.3745234966605127e+08 2.3709071456277773e+08 2.3670375524070838e+08 2.3628436821168539e+08 2.3582700697333574e+08 2.3532493079883263e+08 2.3477054672804496e+08 2.3414930372033954e+08 2.3348061184670597e+08 2.3271345836893559e+08 2.3185345900700948e+08 2.3088814919020468e+08 2.2980411391844791e+08 2.2858752004833630e+08 2.2722449110266951e+08 2.2569617211646774e+08 2.2402211363433099e+08 2.2214841431880039e+08 2.2009199471580681e+08 2.1785760905810586e+08 2.1546277891464850e+08 2.1293731312385786e+08 2.1033794699223521e+08 2.0774588089732236e+08 2.0531545168968344e+08 2.0319804690193054e+08 2.0167561519050422e+08 2.0112432934112886e+08 2.0210168376077381e+08 2.0540837368237159e+08 2.1225840789788792e+08 2.2457135411638570e+08 2.4561204203220356e+08 3.7774919454206359e+08 +3.1654551517172829e+00 -1.7330988769585675e+08 -1.7327757043780604e+08 -1.7322524067594987e+08 -1.7315711817313644e+08 -1.7308873047405323e+08 -1.7304493912932009e+08 -1.7303696969111454e+08 -1.7304586830356467e+08 -1.7305205461863869e+08 -1.7305102743194398e+08 -1.7304440407054770e+08 -1.7303176231653404e+08 -1.7301174166156065e+08 -1.7298311164817810e+08 -1.7294467439169049e+08 -1.7289488595194474e+08 -1.7283190657424128e+08 -1.7275365621582559e+08 -1.7265769332548523e+08 -1.7254109647732350e+08 -1.7240039410240960e+08 -1.7223134637756640e+08 -1.7202771887048942e+08 -1.7177871449310565e+08 -1.7147438536159971e+08 -1.7110969077797556e+08 -1.7067647458090541e+08 -1.7016286461765209e+08 -1.6955449626904094e+08 -1.6883432744650558e+08 -1.6798216875489932e+08 -1.6697408219976485e+08 -1.6578166753723601e+08 -1.6437120994314557e+08 -1.6270268617249000e+08 -1.6072857074666247e+08 -1.5839248229704669e+08 -1.5562763497106692e+08 -1.5235516820724788e+08 -1.4848237652777559e+08 -1.4352813101148185e+08 -1.3759983535772696e+08 -1.3051879585519566e+08 -1.2208525341936976e+08 -1.1208418398666897e+08 -1.0029708462705363e+08 -8.6521880774076849e+07 -7.0602449890179023e+07 -5.2467339376699030e+07 -3.2174765926028084e+07 -9.9635709919389430e+06 1.3758164998400038e+07 3.8425338231245182e+07 6.3292248466290988e+07 8.7586693438914508e+07 1.1059812299852441e+08 1.3175883967193891e+08 1.5070281427779406e+08 1.6726306359467998e+08 1.8147646248006108e+08 1.9347731435803905e+08 2.0350632538867673e+08 2.1179670676808956e+08 2.1862432446004575e+08 2.2420324764179865e+08 2.2872494673848480e+08 2.3237367253064460e+08 2.3526544760748389e+08 2.3750223452122295e+08 2.3918712210948378e+08 2.4037057668830970e+08 2.4114751799839726e+08 2.4157816753726444e+08 2.4174307415091690e+08 2.4170683734816250e+08 2.4151371811355954e+08 2.4123748357769889e+08 2.4092276568976256e+08 2.4057494041690657e+08 2.4031236334521669e+08 2.4004185979838243e+08 2.3976353561906919e+08 2.3947114814600912e+08 2.3916925676954731e+08 2.3884571649683160e+08 2.3852966224400106e+08 2.3816639172759193e+08 2.3777768207227001e+08 2.3735639755775476e+08 2.3689696651135245e+08 2.3639261762157959e+08 2.3583572347303322e+08 2.3521168829993322e+08 2.3453990453699043e+08 2.3376927568100759e+08 2.3290537965120879e+08 2.3193569531560984e+08 2.3084674680638164e+08 2.2962463820735839e+08 2.2825543007931247e+08 2.2672020242680487e+08 2.2503849280074394e+08 2.2315629747954360e+08 2.2109055277808318e+08 2.1884603450163504e+08 2.1644034369840965e+08 2.1390342444301972e+08 2.1129226945644322e+08 2.0868846639871830e+08 2.0624695897044197e+08 2.0411995216484961e+08 2.0259061775063890e+08 2.0203685356696615e+08 2.0301864703213775e+08 2.0634033494062036e+08 2.1322144359666547e+08 2.2559027796756494e+08 2.4672635139025697e+08 3.7756964308377808e+08 +3.1704234744915412e+00 -1.7222385390578049e+08 -1.7219169252449572e+08 -1.7213961403186765e+08 -1.7207180784346721e+08 -1.7200370583312121e+08 -1.7196003289780504e+08 -1.7195195813709480e+08 -1.7196062852253327e+08 -1.7196656095751661e+08 -1.7196526792110860e+08 -1.7195834810441697e+08 -1.7194537134178099e+08 -1.7192497215057540e+08 -1.7189591197312397e+08 -1.7185698260834229e+08 -1.7180662873677209e+08 -1.7174299662004641e+08 -1.7166398880731133e+08 -1.7156714304318959e+08 -1.7144951382794830e+08 -1.7130760152750826e+08 -1.7113713368016577e+08 -1.7093183629356351e+08 -1.7068084599306318e+08 -1.7037411046184584e+08 -1.7000652430491799e+08 -1.6956989265578225e+08 -1.6905227194619197e+08 -1.6843920096683234e+08 -1.6771352441096526e+08 -1.6685492311875075e+08 -1.6583931137324560e+08 -1.6463812180399150e+08 -1.6321745194019821e+08 -1.6153706976130682e+08 -1.5954922042990148e+08 -1.5719727454892147e+08 -1.5441418386199313e+08 -1.5112081839290550e+08 -1.4722420846028808e+08 -1.4224084242538691e+08 -1.3627954494986871e+08 -1.2916150863746467e+08 -1.2068705170840293e+08 -1.1064150899279562e+08 -9.8807123647383958e+07 -8.4983061866030574e+07 -6.9015019671184167e+07 -5.0833956157557666e+07 -3.0501000552255131e+07 -8.2581404287378024e+06 1.5483606477361429e+07 4.0156939360606685e+07 6.5015149859358594e+07 8.9286482542168438e+07 1.1226230574621317e+08 1.3337785883485849e+08 1.5227054448528546e+08 1.6877671147049490e+08 1.8293608085510004e+08 1.9488506933914748e+08 2.0486580348420176e+08 2.1311227101175123e+08 2.1990069266097513e+08 2.2544514445403841e+08 2.2993691986311540e+08 2.3356000103796008e+08 2.3643007905660495e+08 2.3864873413513511e+08 2.4031871733488661e+08 2.4149013176233259e+08 2.4225754765684626e+08 2.4268083675035495e+08 2.4284020425833729e+08 2.4279984051837000e+08 2.4260363101759338e+08 2.4232500852768198e+08 2.4200832157834101e+08 2.4165871939929363e+08 2.4139491108912498e+08 2.4112317292839879e+08 2.4084359271465230e+08 2.4054989106544089e+08 2.4024664440649569e+08 2.3992167329838026e+08 2.3960413676366937e+08 2.3923923514893377e+08 2.3884877977809998e+08 2.3842560278286862e+08 2.3796410738764066e+08 2.3745749177624941e+08 2.3689809416850376e+08 2.3627127421815732e+08 2.3559640663963747e+08 2.3482231156680903e+08 2.3395452914061958e+08 2.3298048181677017e+08 2.3188663301925743e+08 2.3065902422496179e+08 2.2928365319886956e+08 2.2774153511118498e+08 2.2605219442794365e+08 2.2416152548876902e+08 2.2208648026049939e+08 2.1983185606412262e+08 2.1741533321786520e+08 2.1486699067610580e+08 2.1224407789635155e+08 2.0962856882404253e+08 2.0717601229596803e+08 2.0503942877365777e+08 2.0350320984655592e+08 2.0294697388560531e+08 2.0393319470802569e+08 2.0726984108741537e+08 2.1418194231675184e+08 2.2660651763952425e+08 2.4783772519293883e+08 3.7738781637257040e+08 +3.1753917972657995e+00 -1.7113348608989051e+08 -1.7110147938796711e+08 -1.7104965669315106e+08 -1.7098216574774471e+08 -1.7091434862230355e+08 -1.7087079438285530e+08 -1.7086261442583981e+08 -1.7087105651393962e+08 -1.7087673505902207e+08 -1.7087517624321216e+08 -1.7086796009523264e+08 -1.7085464851496986e+08 -1.7083387105706656e+08 -1.7080438107817107e+08 -1.7076496007385790e+08 -1.7071404136560112e+08 -1.7064975724977627e+08 -1.7056999289346808e+08 -1.7047226536556301e+08 -1.7035360512871093e+08 -1.7021048452493137e+08 -1.7003859850465581e+08 -1.6983163359049720e+08 -1.6957866024756259e+08 -1.6926952185931820e+08 -1.6889904841364041e+08 -1.6845900645038205e+08 -1.6793738114957222e+08 -1.6731961491903862e+08 -1.6658843948940030e+08 -1.6572340625073692e+08 -1.6470028215316081e+08 -1.6349033318381163e+08 -1.6205946982768807e+08 -1.6036725204187280e+08 -1.5836569657215223e+08 -1.5599792717325389e+08 -1.5319663466147104e+08 -1.4988242148919764e+08 -1.4596205606228107e+08 -1.4094965328432518e+08 -1.3495545890947872e+08 -1.2780055708032013e+08 -1.1928534948459299e+08 -1.0919553682634780e+08 -9.7314115773271799e+07 -8.3441500404159382e+07 -6.7425210906415462e+07 -4.9198620448754348e+07 -2.8825767958973896e+07 -6.5517772507367106e+06 1.7209414044648405e+07 4.1888331987242416e+07 6.6737287690665700e+07 9.0984998834320202e+07 1.1392477256075567e+08 1.3499479647303680e+08 1.5383590692320523e+08 1.7028777870578417e+08 1.8439296805795082e+08 1.9628999227967763e+08 2.0622238587149146e+08 2.1442490260342464e+08 2.2117410939896572e+08 2.2668408293285945e+08 2.3114593527026418e+08 2.3474337671189606e+08 2.3759176486971557e+08 2.3979229638552561e+08 2.4144738363086841e+08 2.4260676618976706e+08 2.4336466440099263e+08 2.4378060014938021e+08 2.4393443489609900e+08 2.4388994991619462e+08 2.4369065540657884e+08 2.4340964978420031e+08 2.4309099827045596e+08 2.4273962362187204e+08 2.4247458727492690e+08 2.4220161775341251e+08 2.4192078483356285e+08 2.4162577249785173e+08 2.4132117415698811e+08 2.4099477604198739e+08 2.4067576108445960e+08 2.4030923270462412e+08 2.3991703625519884e+08 2.3949197180622017e+08 2.3902841754437566e+08 2.3851954123028249e+08 2.3795764681058607e+08 2.3732804950258607e+08 2.3665010621659940e+08 2.3587255412808496e+08 2.3500089562092990e+08 2.3402249688801432e+08 2.3292376080711424e+08 2.3169066641370928e+08 2.3030914884324551e+08 2.2876015862926358e+08 2.2706320706207258e+08 2.2516408698810914e+08 2.2307976590983886e+08 2.2081506260667565e+08 2.1838773645626330e+08 2.1582800093568450e+08 2.1319336155727091e+08 2.1056617755071500e+08 2.0810260116859537e+08 2.0595646633871898e+08 2.0441338116652194e+08 2.0385468001334211e+08 2.0484531645461634e+08 2.0819688162005174e+08 2.1513989320551589e+08 2.2762006164974391e+08 2.4894615088262779e+08 3.7720372420008141e+08 +3.1803601200400577e+00 -1.7003881101466534e+08 -1.7000695903258562e+08 -1.6995538925480965e+08 -1.6988821410999367e+08 -1.6982068395626026e+08 -1.6977724890633038e+08 -1.6976896388638347e+08 -1.6977717761919844e+08 -1.6978260227182132e+08 -1.6978077775053212e+08 -1.6977326540210560e+08 -1.6975961920482674e+08 -1.6973846375927439e+08 -1.6970854435315236e+08 -1.6966863219133919e+08 -1.6961714925696665e+08 -1.6955221390077561e+08 -1.6947169393314165e+08 -1.6937308577674767e+08 -1.6925339589370444e+08 -1.6910906864377448e+08 -1.6893576644174832e+08 -1.6872713640081432e+08 -1.6847218295510480e+08 -1.6816064532355091e+08 -1.6778728895899099e+08 -1.6734384192039603e+08 -1.6681821830206925e+08 -1.6619576433868626e+08 -1.6545909905739570e+08 -1.6458764471643060e+08 -1.6355702132751641e+08 -1.6233832872310236e+08 -1.6089729095322332e+08 -1.5919326071044564e+08 -1.5717802727306840e+08 -1.5479446873412347e+08 -1.5197501646608669e+08 -1.4864000720048514e+08 -1.4469594972622624e+08 -1.3965459481469208e+08 -1.3362760939751355e+08 -1.2643597437384009e+08 -1.1788018104935232e+08 -1.0774630295490171e+08 -9.5818097648228079e+07 -8.1897234150967762e+07 -6.5833062329859674e+07 -4.7561371694848835e+07 -2.7149107915962256e+07 -4.8445210506951353e+06 1.8935548869491730e+07 4.3619478648993053e+07 6.8458626416604280e+07 9.2682209110609278e+07 1.1558549281772076e+08 1.3660962459500238e+08 1.5539887612297174e+08 1.7179624213093725e+08 1.8584710293369293e+08 1.9769206374068412e+08 2.0757605454426372e+08 2.1573458471756747e+08 2.2244455881448004e+08 2.2792004800608805e+08 2.3235197852765214e+08 2.3592378563862398e+08 2.3875049155133417e+08 2.4093290811227155e+08 2.4257310810349980e+08 2.4372046728441107e+08 2.4446885570415878e+08 2.4487744532714269e+08 2.4502575374356124e+08 2.4497715328219396e+08 2.4477477906417927e+08 2.4449139516179019e+08 2.4417078360486376e+08 2.4381764094389644e+08 2.4355137977557766e+08 2.4327718216084740e+08 2.4299509987732229e+08 2.4269878035895053e+08 2.4239283395238423e+08 2.4206501267463076e+08 2.4174452317048267e+08 2.4137637237683874e+08 2.4098243950593832e+08 2.4055549265055484e+08 2.4008988502744418e+08 2.3957875405540785e+08 2.3901436949871737e+08 2.3838200228365326e+08 2.3770099143361244e+08 2.3691999156879604e+08 2.3604446733974317e+08 2.3506172882608169e+08 2.3395811852136314e+08 2.3271955318662223e+08 2.3133190549444807e+08 2.2977606154021224e+08 2.2807151934770873e+08 2.2616397071745571e+08 2.2407039857000968e+08 2.2179564308625472e+08 2.1935754249220240e+08 2.1678644442791227e+08 2.1414010977719831e+08 2.1150128204796788e+08 2.0902671518133441e+08 2.0687105456053162e+08 2.0532112148789391e+08 2.0475996175501800e+08 2.0575500202750409e+08 2.0912144612626833e+08 2.1609528550327206e+08 2.2863089861407295e+08 2.5005161600977790e+08 3.7701737635871887e+08 +3.1853284428143160e+00 -1.6893985076727664e+08 -1.6890815482698989e+08 -1.6885683666823071e+08 -1.6878998042588782e+08 -1.6872273715038472e+08 -1.6867942187090382e+08 -1.6867103190621117e+08 -1.6867901724815312e+08 -1.6868418801464745e+08 -1.6868209786511713e+08 -1.6867428945404729e+08 -1.6866030885012814e+08 -1.6863877570488578e+08 -1.6860842725757271e+08 -1.6856802443335080e+08 -1.6851597789936027e+08 -1.6845039207978204e+08 -1.6836911745464209e+08 -1.6826962983019149e+08 -1.6814891170639694e+08 -1.6800337950284088e+08 -1.6782866315139443e+08 -1.6761837043325609e+08 -1.6736143988278955e+08 -1.6704750669251940e+08 -1.6667127186418694e+08 -1.6622442508926964e+08 -1.6569480954469579e+08 -1.6506767550517464e+08 -1.6432552955613005e+08 -1.6344766514693540e+08 -1.6240955574814540e+08 -1.6118213553175452e+08 -1.5973094272591776e+08 -1.5801512352376372e+08 -1.5598624069051021e+08 -1.5358692785124215e+08 -1.5074935842582574e+08 -1.4739360528038943e+08 -1.4342591989020580e+08 -1.3835569828374445e+08 -1.3229602860855053e+08 -1.2506779373455630e+08 -1.1647158072123745e+08 -1.0629384285184109e+08 -9.4319105908451051e+07 -8.0350300846297860e+07 -6.4238612634605698e+07 -4.5922249279896528e+07 -2.5471060111694500e+07 -3.1364113192511229e+06 2.0661972242902379e+07 4.5350342022356786e+07 7.0179130645077243e+07 9.4378080326169968e+07 1.1724443605623595e+08 1.3822231537246972e+08 1.5695942677600068e+08 1.7330207873076379e+08 1.8729846447604281e+08 1.9909126442520303e+08 2.0892679163185421e+08 2.1704130065881306e+08 2.2371202517375118e+08 2.2915302472315255e+08 2.3355503532108879e+08 2.3710121401972005e+08 2.3990624571923941e+08 2.4207055626672032e+08 2.4369587796889642e+08 2.4483122246941891e+08 2.4557010914826638e+08 2.4597135998400089e+08 2.4611414858643577e+08 2.4606143846355090e+08 2.4585598988015586e+08 2.4557023258152291e+08 2.4524766552631620e+08 2.4489275933072904e+08 2.4462527657043940e+08 2.4434985414327201e+08 2.4406652585251185e+08 2.4376890267039105e+08 2.4346161182892522e+08 2.4313237124886093e+08 2.4281041109011546e+08 2.4244064225256374e+08 2.4204497763616315e+08 2.4161615344315317e+08 2.4114849798721397e+08 2.4063511842689037e+08 2.4006825043610045e+08 2.3943312079539448e+08 2.3874905055861041e+08 2.3796461219604933e+08 2.3708523264695561e+08 2.3609816602975652e+08 2.3498969461502790e+08 2.3374567305746436e+08 2.3235191173474604e+08 2.3078923250271717e+08 2.2907712002853015e+08 2.2716116551419324e+08 2.2505836718193775e+08 2.2277358655612895e+08 2.2032474049921155e+08 2.1774231045334369e+08 2.1508431198689166e+08 2.1243387187642556e+08 2.0994834401781708e+08 2.0778318322889802e+08 2.0622642067724252e+08 2.0566280900450829e+08 2.0666224127102333e+08 2.1004352428464881e+08 2.1704810854461053e+08 2.2963901724836105e+08 2.5115410823397380e+08 3.7682878264140028e+08 +3.1902967655885743e+00 -1.6783663119158909e+08 -1.6780509193380669e+08 -1.6775402964909807e+08 -1.6768748961748451e+08 -1.6762053387959287e+08 -1.6757733877771163e+08 -1.6756884394248816e+08 -1.6757660087818316e+08 -1.6758151777426240e+08 -1.6757916207758218e+08 -1.6757105774930513e+08 -1.6755674295859894e+08 -1.6753483241084084e+08 -1.6750405531971779e+08 -1.6746316234139326e+08 -1.6741055284959143e+08 -1.6734431736238208e+08 -1.6726228905475539e+08 -1.6716192314803362e+08 -1.6704017821840242e+08 -1.6689344278830749e+08 -1.6671731436138040e+08 -1.6650536146457255e+08 -1.6624645686541787e+08 -1.6593013187146181e+08 -1.6555102311900142e+08 -1.6510078204673377e+08 -1.6456718108492178e+08 -1.6393537476377735e+08 -1.6318775749221653e+08 -1.6230349423687315e+08 -1.6125791233035704e+08 -1.6002178078137568e+08 -1.5856045261545369e+08 -1.5683286829683217e+08 -1.5479036503926560e+08 -1.5237533319976160e+08 -1.4951968974226597e+08 -1.4614324553145391e+08 -1.4215199703666851e+08 -1.3705299499744803e+08 -1.3096074877000219e+08 -1.2369604840404734e+08 -1.1505958283438586e+08 -1.0483819199479738e+08 -9.2817177180832192e+07 -7.8800738205193594e+07 -6.2641900471618384e+07 -4.4281292526200593e+07 -2.3791664152345739e+07 -1.4274874439339903e+06 2.2388645578418121e+07 4.7080884923126273e+07 7.1898765136262760e+07 9.6072579596425921e+07 1.1890157197905351e+08 1.3983284114018223e+08 1.5851753373273888e+08 1.7480526564444530e+08 1.8874703182630250e+08 2.0048757517792070e+08 2.1027457939947808e+08 2.1834503386276343e+08 2.2497649286864242e+08 2.3038299825526226e+08 2.3475509145484439e+08 2.3827564817267162e+08 2.4105901410448614e+08 2.4320522791215098e+08 2.4481568055363649e+08 2.4593901927685070e+08 2.4666841242251948e+08 2.4706233192668521e+08 2.4719960731735343e+08 2.4714279341305920e+08 2.4693427585019189e+08 2.4664615006956536e+08 2.4632163208476779e+08 2.4596496685284105e+08 2.4569626574382746e+08 2.4541962179871678e+08 2.4513505087084308e+08 2.4483612755806130e+08 2.4452749592752478e+08 2.4419683992111212e+08 2.4387341301690647e+08 2.4350203052270293e+08 2.4310463885615987e+08 2.4267394241512936e+08 2.4220424467762741e+08 2.4168862262346008e+08 2.4111927792898947e+08 2.4048139337488848e+08 2.3979427196290475e+08 2.3900640441866982e+08 2.3812317999459538e+08 2.3713179699855700e+08 2.3601847764174807e+08 2.3476901464061248e+08 2.3336915624641693e+08 2.3179966027484047e+08 2.3007999794674537e+08 2.2815566031397972e+08 2.2604366078326729e+08 2.2374888216504544e+08 2.2128931974519005e+08 2.1869558840563858e+08 2.1602595770993072e+08 2.1336393668828779e+08 2.1086747745185047e+08 2.0869284222291026e+08 2.0712926868939012e+08 2.0656321174402425e+08 2.0756702411856544e+08 2.1096310586399218e+08 2.1799835175702679e+08 2.3064440636610657e+08 2.5225361532200086e+08 3.7663795284130567e+08 +3.1952650883628326e+00 -1.6672918215674725e+08 -1.6669779685481650e+08 -1.6664698914106444e+08 -1.6658076756968182e+08 -1.6651409990922990e+08 -1.6647102519428587e+08 -1.6646242553351432e+08 -1.6646995405354360e+08 -1.6647461710447368e+08 -1.6647199594621074e+08 -1.6646359585427973e+08 -1.6644894710543376e+08 -1.6642665946117204e+08 -1.6639545413556722e+08 -1.6635407152454990e+08 -1.6630089973223284e+08 -1.6623401539124158e+08 -1.6615123439758405e+08 -1.6604999141931319e+08 -1.6592722114858842e+08 -1.6577928425405276e+08 -1.6560174586635903e+08 -1.6538813533775455e+08 -1.6512725980410150e+08 -1.6480854683197644e+08 -1.6442656877910206e+08 -1.6397293894825205e+08 -1.6343535919499370e+08 -1.6279888852359411e+08 -1.6204580943568498e+08 -1.6115515874452090e+08 -1.6010211805107221e+08 -1.5885729170435950e+08 -1.5738584815115219e+08 -1.5564652290316531e+08 -1.5359042859003904e+08 -1.5115971350753528e+08 -1.4828603966777968e+08 -1.4488895780332908e+08 -1.4087421169110203e+08 -1.3574651629996303e+08 -1.2962180214108105e+08 -1.2232077164762650e+08 -1.1364422173723079e+08 -1.0337938586467512e+08 -9.1312348082370162e+07 -7.7248583917008862e+07 -6.1042964448426746e+07 -4.2638540693324432e+07 -2.2110959560626559e+07 2.8221129177740379e+05 2.4115530413017638e+07 4.8811070306989379e+07 7.3617494802670345e+07 9.7765674197194517e+07 1.2055687045275344e+08 1.4144117439609522e+08 1.6007317200380749e+08 1.7630578016491583e+08 1.9019278427378011e+08 2.0188097698495707e+08 2.1161940024758297e+08 2.1964576789436269e+08 2.2623794641667938e+08 2.3160995389519399e+08 2.3595213285160017e+08 2.3944707452987695e+08 2.4220878355173892e+08 2.4433691022265235e+08 2.4593250329352695e+08 2.4704384534717524e+08 2.4776375332447281e+08 2.4815034906993675e+08 2.4828211793553540e+08 2.4822120619029075e+08 2.4800962507583785e+08 2.4771913575795397e+08 2.4739267143563575e+08 2.4703425168557981e+08 2.4676433548497140e+08 2.4648647333001462e+08 2.4620066314893314e+08 2.4590044325312597e+08 2.4559047449416399e+08 2.4525840695258716e+08 2.4493351722812265e+08 2.4456052548284179e+08 2.4416141148061284e+08 2.4372884790155527e+08 2.4325711345605505e+08 2.4273925502716279e+08 2.4216744038686645e+08 2.4152680846146628e+08 2.4083664412001660e+08 2.4004535674835470e+08 2.3915829793622139e+08 2.3816261033394080e+08 2.3704445625660059e+08 2.3578956665074590e+08 2.3438362781141463e+08 2.3280733371352205e+08 2.3108014204272330e+08 2.2914744414958340e+08 2.2702626850854737e+08 2.2472151915792161e+08 2.2225126959308347e+08 2.1964626777234587e+08 2.1696503656170827e+08 2.1429146622702110e+08 2.1178410534748852e+08 2.0960002151146302e+08 2.0802965556796724e+08 2.0746116004403391e+08 2.0846934059273258e+08 2.1188018072321934e+08 2.1894600466157573e+08 2.3164705488037154e+08 2.5335012514897105e+08 3.7644489675162590e+08 +3.2002334111370909e+00 -1.6561752280931458e+08 -1.6558629637781140e+08 -1.6553574282779780e+08 -1.6546983929527369e+08 -1.6540346058854821e+08 -1.6536050671049184e+08 -1.6535180230204782e+08 -1.6535910238714838e+08 -1.6536351162505478e+08 -1.6536062509616652e+08 -1.6535192940195188e+08 -1.6533694693271157e+08 -1.6531428250704271e+08 -1.6528264936735144e+08 -1.6524077765808389e+08 -1.6518704423817113e+08 -1.6511951187562218e+08 -1.6503597921380419e+08 -1.6493386039974654e+08 -1.6481006628189760e+08 -1.6466092971963632e+08 -1.6448198352682960e+08 -1.6426671796162984e+08 -1.6400387466521958e+08 -1.6368277761036804e+08 -1.6329793496511006e+08 -1.6284092201333904e+08 -1.6229937021104205e+08 -1.6165824325744152e+08 -1.6089971201897821e+08 -1.6000268548923197e+08 -1.5894219994828275e+08 -1.5768869559265721e+08 -1.5620715692043534e+08 -1.5445611527255875e+08 -1.5238645966826603e+08 -1.4994009755510175e+08 -1.4704843750430852e+08 -1.4363077199196115e+08 -1.3959259442131606e+08 -1.3443629357233199e+08 -1.2827922101107708e+08 -1.2094199675320621e+08 -1.1222553179135209e+08 -1.0191745994402705e+08 -8.9804655218394443e+07 -7.5693875644108474e+07 -5.9441843127928853e+07 -4.0994032976739340e+07 -2.0428985774789862e+07 1.9926457094008836e+06 2.5842588407738373e+07 5.0540861270278014e+07 7.5335284709946111e+07 9.9457331565189078e+07 1.2221030150788061e+08 1.4304728780149591e+08 1.6162631675894770e+08 1.7780359973940727e+08 1.9163570125540113e+08 2.0327145097352910e+08 2.1296123671247318e+08 2.2094348644903529e+08 2.2749637046050352e+08 2.3283387705678585e+08 2.3714614555159673e+08 2.4061547963998383e+08 2.4335554101812348e+08 2.4546559048408857e+08 2.4704633373465306e+08 2.4814568842955676e+08 2.4885611975876471e+08 2.4923539943486840e+08 2.4936166854637033e+08 2.4929666496049270e+08 2.4908202576443878e+08 2.4878917788382629e+08 2.4846077184003374e+08 2.4810060211020413e+08 2.4782947408776662e+08 2.4755039704473993e+08 2.4726335100822455e+08 2.4696183809091783e+08 2.4665053587864494e+08 2.4631706070913127e+08 2.4599071210585782e+08 2.4561611553226823e+08 2.4521528392759785e+08 2.4478085834115055e+08 2.4430709278335908e+08 2.4378700412403888e+08 2.4321272632240763e+08 2.4256935459846407e+08 2.4187615560607225e+08 2.4108145779850605e+08 2.4019057512766957e+08 2.3919059473867536e+08 2.3806761921516559e+08 2.3680731790324557e+08 2.3539531531153649e+08 2.3381224177535024e+08 2.3207754135558158e+08 2.3013650615172616e+08 2.2800617958901864e+08 2.2569148687502596e+08 2.2321057950040084e+08 2.2059433813452172e+08 2.1790153825062650e+08 2.1521645032697755e+08 2.1269821765903464e+08 2.1050471115222979e+08 2.0892757144538155e+08 2.0835664406342730e+08 2.0936918080406940e+08 2.1279473881162560e+08 2.1989105687246850e+08 2.3264695180254689e+08 2.5444362569791231e+08 3.7624962416531688e+08 +3.2052017339113492e+00 -1.6450168204327443e+08 -1.6447061210105866e+08 -1.6442031558391833e+08 -1.6435473058933523e+08 -1.6428864146614277e+08 -1.6424580897532508e+08 -1.6423699994950393e+08 -1.6424407156052682e+08 -1.6424822702016184e+08 -1.6424507521895602e+08 -1.6423608409165755e+08 -1.6422076814777693e+08 -1.6419772726484641e+08 -1.6416566674288172e+08 -1.6412330648292145e+08 -1.6406901212361127e+08 -1.6400083259008026e+08 -1.6391654929886132e+08 -1.6381355590979612e+08 -1.6368873946828663e+08 -1.6353840506942907e+08 -1.6335805326791194e+08 -1.6314113530952540e+08 -1.6287632747976696e+08 -1.6255285030734465e+08 -1.6216514786108175e+08 -1.6170475752504390e+08 -1.6115924053188601e+08 -1.6051346550030416e+08 -1.5974949193651441e+08 -1.5884610135140738e+08 -1.5777818511939746e+08 -1.5651601979705498e+08 -1.5502440656812486e+08 -1.5326167339033416e+08 -1.5117848665267986e+08 -1.4871651417423204e+08 -1.4580691260198689e+08 -1.4236871803778782e+08 -1.3830717583596221e+08 -1.3312235823082286e+08 -1.2693303769835617e+08 -1.1955975702968483e+08 -1.1080354737011570e+08 -1.0045244971615350e+08 -8.8294135181502298e+07 -7.4136651020804927e+07 -5.7838575027173221e+07 -3.9347808506796911e+07 -1.8745782147527151e+07 3.7037767363877767e+06 2.7569781348708641e+07 5.2270221050468631e+07 7.7052100077099860e+07 1.0114751929814810e+08 1.2386183533910708e+08 1.4465115418076560e+08 1.6317694332757998e+08 1.7929870196896309e+08 1.9307576235584229e+08 2.0465897841241547e+08 2.1430007146509272e+08 2.2223817335178709e+08 2.2875174976808861e+08 2.3405475327555877e+08 2.3833711571326536e+08 2.4178085016599256e+08 2.4449927357420659e+08 2.4659125609290895e+08 2.4815715953241807e+08 2.4924453638151589e+08 2.4994549973801982e+08 2.5031747114950645e+08 2.5043824736168751e+08 2.5036915799489796e+08 2.5015146622889298e+08 2.4985626479044750e+08 2.4952592166377816e+08 2.4916400651206416e+08 2.4889166995197332e+08 2.4861138135551313e+08 2.4832310287423807e+08 2.4802030051157007e+08 2.4770766853592643e+08 2.4737278966048890e+08 2.4704498613584435e+08 2.4666878917430902e+08 2.4626624471906969e+08 2.4582996227604419e+08 2.4535417122415891e+08 2.4483185850225276e+08 2.4425512435089251e+08 2.4360902043058416e+08 2.4291279509941369e+08 2.4211469628475404e+08 2.4122000032623318e+08 2.4021573901673278e+08 2.3908795537383905e+08 2.3782225731345651e+08 2.3640420772841954e+08 2.3481437351539254e+08 2.3307218502247518e+08 2.3112283554827937e+08 2.2898338335192728e+08 2.2665877475224021e+08 2.2416723901925841e+08 2.2153978916626522e+08 2.1883545257671964e+08 2.1613887891412085e+08 2.1360980443077114e+08 2.1140690129167420e+08 2.0982300654192603e+08 2.0924965404927346e+08 2.1026653495237055e+08 2.1370677016851816e+08 2.2083349809697589e+08 2.3364408624221981e+08 2.5553410505916661e+08 3.7605214487485218e+08 +3.2101700566856075e+00 -1.6338168812411350e+08 -1.6335077508462772e+08 -1.6330073303986329e+08 -1.6323546785183012e+08 -1.6316966834765461e+08 -1.6312695774875763e+08 -1.6311804423778173e+08 -1.6312488732438472e+08 -1.6312878903974062e+08 -1.6312537207063368e+08 -1.6311608568748909e+08 -1.6310043652279788e+08 -1.6307701951538184e+08 -1.6304453205435970e+08 -1.6300168380435491e+08 -1.6294682920922086e+08 -1.6287800337311205e+08 -1.6279297051262316e+08 -1.6268910383399957e+08 -1.6256326662153718e+08 -1.6241173625173566e+08 -1.6222998107852733e+08 -1.6201141341818362e+08 -1.6174464434174752e+08 -1.6141879108616465e+08 -1.6102823371380323e+08 -1.6056447182820165e+08 -1.6001499661817420e+08 -1.5936458184816799e+08 -1.5859517594252703e+08 -1.5768543327087808e+08 -1.5661010072069588e+08 -1.5533929172551170e+08 -1.5383762479477909e+08 -1.5206322529620138e+08 -1.4996653797467190e+08 -1.4748899224652478e+08 -1.4456149435817194e+08 -1.4110282592534426e+08 -1.3701798658309492e+08 -1.3180474172623231e+08 -1.2558328454925454e+08 -1.1817408580623296e+08 -1.0937830285753222e+08 -9.8984390663358688e+07 -8.6780824550084174e+07 -7.2576947651488423e+07 -5.6233198616262943e+07 -3.7699906347573243e+07 -1.7061387944936205e+07 5.4155654070435185e+06 2.9297071147649907e+07 5.3999113026828617e+07 7.8767906277039483e+07 1.0283620515511560e+08 1.2551144230559963e+08 1.4625274652166933e+08 1.6472502719821933e+08 1.8079106460851860e+08 1.9451294730708277e+08 2.0604354071125823e+08 2.1563588731153187e+08 2.2352981255752486e+08 2.3000406923223051e+08 2.3527256820775905e+08 2.3952502961312023e+08 2.4294317288592133e+08 2.4563996840288574e+08 2.4771389455644462e+08 2.4926496845179221e+08 2.5034037716877779e+08 2.5103188138205820e+08 2.5139655244860324e+08 2.5151184269940609e+08 2.5143867367050612e+08 2.5121793488737977e+08 2.5092038492561463e+08 2.5058810937782529e+08 2.5022445338229218e+08 2.4995091158116731e+08 2.4966941477947989e+08 2.4937990727786526e+08 2.4907581905954266e+08 2.4876186102445963e+08 2.4842558238033286e+08 2.4809632790777737e+08 2.4771853501606053e+08 2.4731428248066720e+08 2.4687614835234636e+08 2.4639833744608787e+08 2.4587380685371470e+08 2.4529462319086123e+08 2.4464579470581919e+08 2.4394655138075173e+08 2.4314506102463335e+08 2.4224656239037141e+08 2.4123803207324564e+08 2.4010545368966636e+08 2.3883437389696047e+08 2.3741029414285660e+08 2.3581371808761892e+08 2.3406406227834898e+08 2.3210642166434219e+08 2.2995786922136542e+08 2.2762337232075241e+08 2.2512123779552099e+08 2.2248261063547328e+08 2.1976676943250650e+08 2.1705874200488392e+08 2.1451885579665935e+08 2.1230658216604802e+08 2.1071595116676477e+08 2.1014018033663985e+08 2.1116139332568446e+08 2.1461626492330429e+08 2.2177331813481435e+08 2.3463844740737146e+08 2.5662155143090934e+08 3.7585246867197973e+08 +3.2151383794598658e+00 -1.6225756204350674e+08 -1.6222680517681867e+08 -1.6217702038150957e+08 -1.6211207765766677e+08 -1.6204656754075220e+08 -1.6200397883913076e+08 -1.6199496097122645e+08 -1.6200157549609953e+08 -1.6200522349780408e+08 -1.6200154147137085e+08 -1.6199196001704893e+08 -1.6197597789233980e+08 -1.6195218510267696e+08 -1.6191927115696460e+08 -1.6187593549089751e+08 -1.6182052137852210e+08 -1.6175105012679353e+08 -1.6166526877816162e+08 -1.6156053012014276e+08 -1.6143367371836597e+08 -1.6128094927751338e+08 -1.6109779301012388e+08 -1.6087757838679391e+08 -1.6060885140704995e+08 -1.6028062617229119e+08 -1.5988721883161673e+08 -1.5942009132918513e+08 -1.5886666499098244e+08 -1.5821161895684272e+08 -1.5743679085111040e+08 -1.5652070824603790e+08 -1.5543797396590921e+08 -1.5415853884254244e+08 -1.5264683935604310e+08 -1.5086079908329692e+08 -1.4875064211666900e+08 -1.4625756070250762e+08 -1.4331221221612471e+08 -1.3983312568148893e+08 -1.3572505734930214e+08 -1.3048347554220362e+08 -1.2422999393649393e+08 -1.1678501643042794e+08 -1.0794983264668348e+08 -9.7513318266229182e+07 -8.5264759887468830e+07 -7.1014803110099971e+07 -5.4625752316956349e+07 -3.6050365495627716e+07 -1.5375842345466036e+07 7.1279728634485649e+06 3.1024419842902005e+07 5.5727500721076220e+07 8.0482668837039158e+07 1.0452335705682449e+08 1.2715909293052070e+08 1.4785203797519672e+08 1.6627054401909664e+08 1.8228066556654251e+08 1.9594723598830509e+08 2.0742511942059642e+08 2.1696866719317600e+08 2.2481838815040919e+08 2.3125331387069702e+08 2.3648730763047490e+08 2.4070987364445290e+08 2.4410243469321609e+08 2.4677761279982913e+08 2.4883349349331728e+08 2.5036974836668587e+08 2.5143319886548135e+08 2.5211525291763315e+08 2.5247263167321134e+08 2.5258244298346543e+08 2.5250520046986878e+08 2.5228142026354885e+08 2.5198152684252340e+08 2.5164732355807847e+08 2.5128193131593546e+08 2.5100718758405256e+08 2.5072448593795615e+08 2.5043375285379988e+08 2.5012838238325077e+08 2.4981310200735253e+08 2.4947542754672515e+08 2.4914472611537868e+08 2.4876534176845512e+08 2.4835938594174138e+08 2.4791940531849289e+08 2.4743958021988469e+08 2.4691283797288209e+08 2.4633121166301921e+08 2.4567966627419162e+08 2.4497741333312404e+08 2.4417254093720666e+08 2.4327025028040269e+08 2.4225746291393855e+08 2.4112010322051719e+08 2.3984365676877189e+08 2.3841356373495385e+08 2.3681026474474519e+08 2.3505316245661822e+08 2.3308725392218754e+08 2.3092962671737978e+08 2.2858526920692232e+08 2.2607256556981710e+08 2.2342279240233669e+08 2.2069547880243978e+08 2.1797602970681503e+08 2.1542536198065969e+08 2.1320374409977329e+08 2.1160639571677369e+08 2.1102821334819138e+08 2.1205374630031076e+08 2.1552321329462221e+08 2.2271050687906256e+08 2.3563002460480469e+08 2.5770595311863673e+08 3.7565060534747839e+08 +3.2201067022341241e+00 -1.6112933367735642e+08 -1.6109873413578615e+08 -1.6104920636206955e+08 -1.6098458343244743e+08 -1.6091936454383320e+08 -1.6087689806165633e+08 -1.6086777599257118e+08 -1.6087416195632750e+08 -1.6087755627156079e+08 -1.6087360930368263e+08 -1.6086373297034827e+08 -1.6084741815375629e+08 -1.6082324993336728e+08 -1.6078990996852267e+08 -1.6074608747334534e+08 -1.6069011457765079e+08 -1.6061999881498444e+08 -1.6053347007987490e+08 -1.6042786077773100e+08 -1.6029998679740900e+08 -1.6014607021933329e+08 -1.5996151517523727e+08 -1.5973965637556246e+08 -1.5946897489307475e+08 -1.5913838185171840e+08 -1.5874212958273879e+08 -1.5827164249405611e+08 -1.5771427223091230e+08 -1.5705460354126805e+08 -1.5627436353401849e+08 -1.5535195333248320e+08 -1.5426183212481597e+08 -1.5297378866752073e+08 -1.5145207806119132e+08 -1.4965442289640418e+08 -1.4753082761113510e+08 -1.4502224852013972e+08 -1.4205909566388601e+08 -1.3855964737469277e+08 -1.3442841885821545e+08 -1.2915859119434848e+08 -1.2287319825813411e+08 -1.1539258226747207e+08 -1.0651817113868715e+08 -9.6039268001704514e+07 -8.3745977740205407e+07 -6.9450254938564941e+07 -5.3016274501661383e+07 -3.4399224879069559e+07 -1.3689184438941671e+07 8.8409603563589193e+06 3.2751789599942178e+07 5.7455347797818065e+07 8.2196353439092010e+07 1.0620894308593927e+08 1.2880475790193115e+08 1.4944900185578066e+08 1.6781346959779945e+08 1.8376748290532750e+08 1.9737860842632526e+08 2.0880369623173141e+08 2.1829839418557075e+08 2.2610388434408122e+08 2.3249946882603386e+08 2.3769895744208795e+08 2.4189163431882173e+08 2.4525862259545243e+08 2.4791219417318022e+08 2.4995004063232633e+08 2.5147148726057765e+08 2.5252298965334257e+08 2.5319560267916223e+08 2.5354569727099842e+08 2.5365003674347284e+08 2.5356872698085621e+08 2.5334191098591685e+08 2.5303967919903234e+08 2.5270355288507366e+08 2.5233642901282394e+08 2.5206048667337397e+08 2.5177658355712697e+08 2.5148462834103838e+08 2.5117797923554158e+08 2.5086138025112158e+08 2.5052231394123575e+08 2.5019016955591154e+08 2.4980919824543554e+08 2.4940154393448228e+08 2.4895972202712998e+08 2.4847788841888052e+08 2.4794894075723845e+08 2.4736487869077578e+08 2.4671062408814180e+08 2.4600536994075218e+08 2.4519712504340893e+08 2.4429105305734941e+08 2.4327402064594769e+08 2.4213189312365684e+08 2.4085009514438501e+08 2.3941400578421474e+08 2.3780400283777127e+08 2.3603947498777375e+08 2.3406532184109244e+08 2.3189864545625624e+08 2.2954445513239640e+08 2.2702121217648843e+08 2.2436032442081311e+08 2.2162157076241431e+08 2.1889073221802226e+08 2.1632931329606313e+08 2.1409837750605810e+08 2.1249433067707688e+08 2.1191374359533450e+08 2.1294358434082085e+08 2.1642760559132996e+08 2.2364505431517306e+08 2.3661880723831651e+08 2.5878729853460866e+08 3.7544656469091821e+08 +3.2250750250083824e+00 -1.5999702534359190e+08 -1.5996658480546016e+08 -1.5991731377863652e+08 -1.5985301211141571e+08 -1.5978808488586009e+08 -1.5974574129620594e+08 -1.5973651519848868e+08 -1.5974267264450046e+08 -1.5974581330007702e+08 -1.5974160151156637e+08 -1.5973143049901241e+08 -1.5971478326515129e+08 -1.5969023997483948e+08 -1.5965647446765295e+08 -1.5961216574341211e+08 -1.5955563481350139e+08 -1.5948487546248591e+08 -1.5939760046397904e+08 -1.5929112187681180e+08 -1.5916223195750323e+08 -1.5900712521024036e+08 -1.5882117374736270e+08 -1.5859767360511950e+08 -1.5832504107682556e+08 -1.5799208446981975e+08 -1.5759299239532012e+08 -1.5711915184759822e+08 -1.5655784497706708e+08 -1.5589356237407109e+08 -1.5510792092042518e+08 -1.5417919564236337e+08 -1.5308170252283785e+08 -1.5178506877398980e+08 -1.5025336877215901e+08 -1.4844412493148017e+08 -1.4630712303968838e+08 -1.4378308472415936e+08 -1.4080217423312542e+08 -1.3728242111310849e+08 -1.3312810186963199e+08 -1.2783012022869444e+08 -1.2151292993635896e+08 -1.1399681669874547e+08 -1.0508335274151534e+08 -9.4562275342526004e+07 -8.2224514637079149e+07 -6.7883340645367697e+07 -5.1404803492071994e+07 -3.2746523356216252e+07 -1.2001453225458831e+07 1.0554489246106440e+07 3.4479142712378018e+07 5.9182618065310314e+07 8.3908925920368567e+07 1.0789293148728882e+08 1.3044840807236637e+08 1.5104361164110827e+08 1.6935377990081531e+08 1.8525149484062764e+08 1.9880704479461658e+08 2.1017925297654101e+08 2.1962505149911281e+08 2.2738628548130926e+08 2.3374251936508772e+08 2.3890750366062063e+08 2.4307029826444679e+08 2.4641172371490142e+08 2.4904370004315493e+08 2.5106352381266809e+08 2.5257017322575942e+08 2.5360973782218137e+08 2.5427291910709372e+08 2.5461573779560724e+08 2.5471461261492860e+08 2.5462924189666054e+08 2.5439939578828591e+08 2.5409483075762826e+08 2.5375678614419100e+08 2.5338793527754256e+08 2.5311079766643134e+08 2.5282569646678960e+08 2.5253252258233854e+08 2.5222459847293386e+08 2.5190668462680075e+08 2.5156623044913897e+08 2.5123264712992638e+08 2.5085009336481974e+08 2.5044074539453956e+08 2.4999708743306381e+08 2.4951325101981792e+08 2.4898210420631805e+08 2.4839561329984355e+08 2.4773865720195642e+08 2.4703041029025695e+08 2.4621880246515885e+08 2.4530895988368347e+08 2.4428769447625849e+08 2.4314081265756488e+08 2.4185367833854771e+08 2.4041160966896892e+08 2.3879492181638876e+08 2.3702298940060425e+08 2.3504061503714815e+08 2.3286491514999098e+08 2.3050091991361558e+08 2.2796716754410926e+08 2.2529519673686290e+08 2.2254503548029941e+08 2.1980283982707509e+08 2.1723070014590016e+08 2.1499047288685971e+08 2.1337974662065291e+08 2.1279676167579839e+08 2.1383089800003165e+08 2.1732943221147063e+08 2.2457695052135962e+08 2.3760478481013829e+08 2.5986557619890997e+08 3.7524035649041903e+08 +3.2300433477826407e+00 -1.5886066714751628e+08 -1.5883038430301645e+08 -1.5878137133640730e+08 -1.5871739031672251e+08 -1.5865275468152347e+08 -1.5861053451865265e+08 -1.5860120455962721e+08 -1.5860713355641314e+08 -1.5861002058225536e+08 -1.5860554409903258e+08 -1.5859507861463663e+08 -1.5857809924452904e+08 -1.5855318125496146e+08 -1.5851899069325653e+08 -1.5847419635312188e+08 -1.5841710815292922e+08 -1.5834570615397075e+08 -1.5825768603580177e+08 -1.5815033954764298e+08 -1.5802043535773405e+08 -1.5786414044311425e+08 -1.5767679495900169e+08 -1.5745165635526174e+08 -1.5717707629434887e+08 -1.5684176043123949e+08 -1.5643983375546828e+08 -1.5596264597269878e+08 -1.5539740992535710e+08 -1.5472852228445330e+08 -1.5393748999546728e+08 -1.5300246234222808e+08 -1.5189761253912836e+08 -1.5059240678849697e+08 -1.4905073940248299e+08 -1.4722993343455207e+08 -1.4507955703145885e+08 -1.4254009838448128e+08 -1.3954147749797392e+08 -1.3600147704421920e+08 -1.3182413717801583e+08 -1.2649809422086449e+08 -1.2014922141622923e+08 -1.1259775312078883e+08 -1.0364541186862707e+08 -9.3082375755404890e+07 -8.0700407087784156e+07 -6.6314097704865769e+07 -4.9791377558155522e+07 -3.1092299714674968e+07 -1.0312687614435637e+07 1.2268521003480762e+07 3.6206441602406152e+07 6.0909275475960076e+07 8.5620352273535997e+07 1.0957529066809790e+08 1.3209001445934442e+08 1.5263584097227696e+08 1.7089145105429465e+08 1.8673267974171636e+08 2.0023252541359100e+08 2.1155177162730846e+08 2.2094862247866380e+08 2.2866557603401235e+08 2.3498245087913448e+08 2.4011293242530409e+08 2.4424585222692057e+08 2.4756172528821114e+08 2.5017211804254270e+08 2.5217393098428518e+08 2.5366579446337757e+08 2.5469343176915500e+08 2.5534719074933386e+08 2.5568274190686521e+08 2.5577615933850518e+08 2.5568673401581302e+08 2.5545386350929871e+08 2.5514697038632241e+08 2.5480701222448337e+08 2.5443643901847932e+08 2.5415810948458996e+08 2.5387181360097292e+08 2.5357742452476251e+08 2.5326822905560493e+08 2.5294900410802141e+08 2.5260716605933273e+08 2.5227214784175786e+08 2.5188801614718142e+08 2.5147697936041281e+08 2.5103149059436631e+08 2.5054565710171112e+08 2.5001231742246863e+08 2.4942340461800948e+08 2.4876375477193916e+08 2.4805252356954691e+08 2.4723756242615503e+08 2.4632396002251583e+08 2.4529847371281555e+08 2.4414685117997205e+08 2.4285439576547799e+08 2.4140636486676115e+08 2.3978301122825027e+08 2.3800369532128659e+08 2.3601312322286692e+08 2.3382842560652205e+08 2.3145465346188101e+08 2.2891042169459105e+08 2.2622739948976830e+08 2.2346586321549195e+08 2.2071234291316250e+08 2.1812951302237487e+08 2.1588002083237863e+08 2.1426263420796165e+08 2.1367725827605546e+08 2.1471567791855788e+08 2.1822868364276704e+08 2.2550618566785690e+08 2.3858794692052743e+08 2.6094077473776573e+08 3.7503199053241569e+08 +3.2350116705568990e+00 -1.5772028173258984e+08 -1.5769015647811675e+08 -1.5764140162304983e+08 -1.5757774351203859e+08 -1.5751340040060401e+08 -1.5747130380367649e+08 -1.5746187012615004e+08 -1.5746757074108329e+08 -1.5747020417545599e+08 -1.5746546312902471e+08 -1.5745470338753036e+08 -1.5743739216887099e+08 -1.5741209986053947e+08 -1.5737748474318880e+08 -1.5733220541349974e+08 -1.5727456072194421e+08 -1.5720251703344211e+08 -1.5711375295969138e+08 -1.5700553997899866e+08 -1.5687462321521306e+08 -1.5671714216862744e+08 -1.5652840510077178e+08 -1.5630163096348798e+08 -1.5602510693916652e+08 -1.5568743619730741e+08 -1.5528268020623016e+08 -1.5480215150886959e+08 -1.5423299382862386e+08 -1.5355951015752858e+08 -1.5276309779887083e+08 -1.5182178065376320e+08 -1.5070958960628814e+08 -1.4939583038937417e+08 -1.4784421791592821e+08 -1.4601187669975796e+08 -1.4384815826226416e+08 -1.4129331861536047e+08 -1.3827703507380414e+08 -1.3471684535299745e+08 -1.3051655561138804e+08 -1.2516254477464515e+08 -1.1878210516443661e+08 -1.1119542494342956e+08 -1.0220438293762200e+08 -9.1599604700190336e+07 -7.9173691581724778e+07 -6.4742563555450663e+07 -4.8176034916873299e+07 -2.9436592670149524e+07 -8.6229264236010872e+06 1.3983017210588204e+07 3.7933648821780950e+07 6.2635284126875497e+07 8.7330598647324771e+07 1.1125598919824132e+08 1.3372954824511024e+08 1.5422566365377241e+08 1.7242645934309784e+08 1.8821101613072333e+08 2.0165503075052416e+08 2.1292123429658061e+08 2.2226909060311031e+08 2.2994174060264608e+08 2.3621924888391113e+08 2.4131522999534547e+08 2.4541828306890252e+08 2.4870861466617000e+08 2.5129743591525477e+08 2.5328125020649099e+08 2.5475833928296357e+08 2.5577405999909756e+08 2.5641840626006809e+08 2.5674669837050906e+08 2.5683466576066083e+08 2.5674119224115953e+08 2.5650530309188232e+08 2.5619608705615959e+08 2.5585422011999592e+08 2.5548192924810451e+08 2.5520241115285456e+08 2.5491492399749580e+08 2.5461932321895555e+08 2.5430886004766688e+08 2.5398832777256742e+08 2.5364510986363912e+08 2.5330866079851916e+08 2.5292295571635136e+08 2.5251023497378933e+08 2.5206292067159632e+08 2.5157509584610114e+08 2.5103956961047727e+08 2.5044824187518162e+08 2.4978590605610630e+08 2.4907169906799245e+08 2.4825339425090137e+08 2.4733604283801067e+08 2.4630634776389289e+08 2.4514999814865178e+08 2.4385223693872762e+08 2.4239826095341671e+08 2.4076826071959096e+08 2.3898158247279790e+08 2.3698283620749947e+08 2.3478916672934210e+08 2.3240564578321439e+08 2.2985096474380243e+08 2.2715692291107899e+08 2.2438404431884971e+08 2.2161923194559607e+08 2.1902574250711542e+08 2.1676701202135813e+08 2.1514298418778154e+08 2.1455522416920814e+08 2.1559791482465109e+08 2.1912535046195766e+08 2.2643275001735875e+08 2.3956828326648733e+08 2.6201288288448781e+08 3.7482147660141927e+08 +3.2399799933311573e+00 -1.5657589703229642e+08 -1.5654592983144170e+08 -1.5649743239864549e+08 -1.5643409826226631e+08 -1.5637004803003788e+08 -1.5632807535308978e+08 -1.5631853801418972e+08 -1.5632401030073997e+08 -1.5632639019362622e+08 -1.5632138472178602e+08 -1.5631033094604194e+08 -1.5629268817279276e+08 -1.5626702193618745e+08 -1.5623198277327892e+08 -1.5618621909345052e+08 -1.5612801870430839e+08 -1.5605533430196616e+08 -1.5596582745781028e+08 -1.5585674941704920e+08 -1.5572482180488503e+08 -1.5556615669531259e+08 -1.5537603052070433e+08 -1.5514762382462031e+08 -1.5486915946216673e+08 -1.5452913828644684e+08 -1.5412155834709656e+08 -1.5363769515105733e+08 -1.5306462349437371e+08 -1.5238655293254223e+08 -1.5158477142466208e+08 -1.5063717785059309e+08 -1.4951766120848936e+08 -1.4819536730564055e+08 -1.4663383232587403e+08 -1.4478998306929338e+08 -1.4261295545343184e+08 -1.4004277457390094e+08 -1.3700887661595455e+08 -1.3342855626139790e+08 -1.2920538803037721e+08 -1.2382350352061383e+08 -1.1741161366811575e+08 -1.0978986558945498e+08 -1.0076030036924137e+08 -9.0113997628289789e+07 -7.7644404586775497e+07 -6.3168775598972991e+07 -4.6558813731124312e+07 -2.7779440865421835e+07 -6.9322083779930854e+06 1.5697939561766254e+07 3.9660727052422240e+07 6.4360608260300368e+07 8.9039631346614897e+07 1.1293499581043209e+08 1.3536698077687365e+08 1.5581305365366861e+08 1.7395878121135521e+08 1.8968648268319774e+08 2.0307454141936997e+08 2.1428762323707086e+08 2.2358643948543712e+08 2.3121476391665575e+08 2.3745289901872432e+08 2.4251438274979556e+08 2.4658757776909605e+08 2.4985237931364197e+08 2.5241964151783806e+08 2.5438546964924002e+08 2.5584779610276943e+08 2.5685161112444440e+08 2.5748655439989129e+08 2.5780759605769750e+08 2.5789012083257097e+08 2.5779260558111241e+08 2.5755370358384028e+08 2.5724216984362784e+08 2.5689839892871881e+08 2.5652439508290955e+08 2.5624369180054149e+08 2.5595501679813632e+08 2.5565820781908301e+08 2.5534648061642727e+08 2.5502464480159846e+08 2.5468005105739519e+08 2.5434217521029320e+08 2.5395490129908985e+08 2.5354050147865054e+08 2.5309136692825046e+08 2.5260155653690106e+08 2.5206385007649508e+08 2.5147011440311635e+08 2.5080510041417420e+08 2.5008792617674795e+08 2.4926628736498582e+08 2.4834519779456294e+08 2.4731130613798195e+08 2.4615024312144208e+08 2.4484719147111300e+08 2.4338728760371327e+08 2.4175066003365645e+08 2.3995664067583185e+08 2.3794974389726231e+08 2.3574712851767445e+08 2.3335388697812924e+08 2.3078878690105301e+08 2.2808375732463938e+08 2.2529956923203596e+08 2.2252349748382458e+08 2.1991937927079961e+08 2.1765143722042856e+08 2.1602078739562425e+08 2.1543065021592793e+08 2.1647759953474379e+08 2.2001942333498403e+08 2.2735663392476651e+08 2.4054578364324629e+08 2.6308188947909918e+08 3.7460882447978407e+08 +3.2449483161054156e+00 -1.5542753868831843e+08 -1.5539772919857383e+08 -1.5534949118433204e+08 -1.5528647956824866e+08 -1.5522272362823036e+08 -1.5518087542419332e+08 -1.5517123438808054e+08 -1.5517647839074329e+08 -1.5517860480632356e+08 -1.5517333505507061e+08 -1.5516198747501966e+08 -1.5514401344793770e+08 -1.5511797368404180e+08 -1.5508251099617815e+08 -1.5503626361856878e+08 -1.5497750834081319e+08 -1.5490418421775779e+08 -1.5481393580871770e+08 -1.5470399416456509e+08 -1.5457105745790717e+08 -1.5441121038782993e+08 -1.5421969762288392e+08 -1.5398966138915128e+08 -1.5370926036911473e+08 -1.5336689327221888e+08 -1.5295649483226225e+08 -1.5246930364910948e+08 -1.5189232578418005e+08 -1.5120967760245842e+08 -1.5040253801894742e+08 -1.4944868125864813e+08 -1.4832185488079885e+08 -1.4699104531577909e+08 -1.4541961069330537e+08 -1.4356428093133500e+08 -1.4137397737070125e+08 -1.3878849545902833e+08 -1.3573703181903130e+08 -1.3213664002633110e+08 -1.2789066532661964e+08 -1.2248100211542396e+08 -1.1603777943341644e+08 -1.0838110849271122e+08 -9.9313198585844383e+07 -8.8625589981770486e+07 -7.6112582548082232e+07 -6.1592771198991612e+07 -4.4939752108454145e+07 -2.6120882869135249e+07 -5.2405721089692963e+06 1.7413249864371717e+07 4.1387639107056402e+07 6.6085212264483668e+07 9.0747416833377972e+07 1.1461227940068449e+08 1.3700228356715137e+08 1.5739798510285574e+08 1.7548839326221919e+08 1.9115905822795647e+08 2.0449103818015549e+08 2.1565092084115306e+08 2.2490065287242618e+08 2.3248463083370703e+08 2.3868338704687402e+08 2.4371037718791583e+08 2.4775372342369527e+08 2.5099300680934814e+08 2.5353872281797111e+08 2.5548657759203580e+08 2.5693415344947872e+08 2.5792607386415961e+08 2.5855162403562745e+08 2.5886542394534642e+08 2.5894251361071062e+08 2.5884096314840308e+08 2.5859905413711739e+08 2.5828520792873859e+08 2.5793953785249564e+08 2.5756382574341765e+08 2.5728194066023102e+08 2.5699208124760303e+08 2.5669406758260709e+08 2.5638108003250352e+08 2.5605794447894961e+08 2.5571197893899450e+08 2.5537268039084604e+08 2.5498384222446376e+08 2.5456776822191897e+08 2.5411681872935846e+08 2.5362502856001186e+08 2.5308514822946563e+08 2.5248901163535094e+08 2.5182132730711403e+08 2.5110119438705271e+08 2.5027623129481527e+08 2.4935141445732489e+08 2.4831333844301403e+08 2.4714757575538719e+08 2.4583924907449174e+08 2.4437343459071311e+08 2.4273019901240742e+08 2.4092885984830916e+08 2.3891383629325432e+08 2.3670230106557766e+08 2.3429936724143964e+08 2.3172387846888605e+08 2.2900789314678344e+08 2.2621242848853588e+08 2.2342513017760903e+08 2.2081041407278571e+08 2.1853328728440723e+08 2.1689603475503752e+08 2.1630352736420751e+08 2.1735472295239264e+08 2.2091089301690805e+08 2.2827782783651191e+08 2.4152043794318062e+08 2.6414778346754938e+08 3.7439404394747430e+08 +3.2499166388796739e+00 -1.5427523151908365e+08 -1.5424558156691301e+08 -1.5419760269812933e+08 -1.5413491508637226e+08 -1.5407145358819157e+08 -1.5402973020656809e+08 -1.5401998545797580e+08 -1.5402500122074294e+08 -1.5402687423903564e+08 -1.5402134036186633e+08 -1.5400969921512446e+08 -1.5399139424162892e+08 -1.5396498136162612e+08 -1.5392909568059194e+08 -1.5388236527070028e+08 -1.5382305592764693e+08 -1.5374909309461787e+08 -1.5365810434679514e+08 -1.5354730058009785e+08 -1.5341335656080583e+08 -1.5325232966600859e+08 -1.5305943286642686e+08 -1.5282777016246605e+08 -1.5254543622098288e+08 -1.5220072778212231e+08 -1.5178751637001947e+08 -1.5129700380611151e+08 -1.5071612761250639e+08 -1.5002891121236217e+08 -1.4921642477997392e+08 -1.4825631825471118e+08 -1.4712219820828962e+08 -1.4578289224695992e+08 -1.4420158112660152e+08 -1.4233479871968654e+08 -1.4013125282295612e+08 -1.3753051051087245e+08 -1.3446153041498998e+08 -1.3084112693937318e+08 -1.2657241842189430e+08 -1.2113507224000700e+08 -1.1466063498480037e+08 -1.0696918709706961e+08 -9.7863112010522172e+07 -8.7134417191850647e+07 -7.4578261886708856e+07 -6.0014587679938219e+07 -4.3318888100090377e+07 -2.4460957174865980e+07 -3.5480561532691228e+06 1.9128910039667312e+07 4.3114347930097178e+07 6.7809060673780560e+07 9.2453921726334959e+07 1.1628780902801602e+08 1.3863542829353058e+08 1.5898043229618120e+08 1.7701527225765479e+08 1.9262872174621451e+08 2.0590450193954492e+08 2.1701110964131057e+08 2.2621171464471269e+08 2.3375132634009457e+08 2.3991069885520437e+08 2.4490319992829907e+08 2.4891670724475083e+08 2.5213048484564924e+08 2.5465466789477679e+08 2.5658456242379466e+08 2.5801739995778912e+08 2.5899743704452357e+08 2.5961360414017442e+08 2.5992017111570260e+08 2.5999183325654593e+08 2.5988625416028643e+08 2.5964134400800294e+08 2.5932519059535223e+08 2.5897762619670627e+08 2.5860021055347872e+08 2.5831714706825808e+08 2.5802610669453070e+08 2.5772689187027168e+08 2.5741264766962981e+08 2.5708821619204912e+08 2.5674088290925720e+08 2.5640016575548044e+08 2.5600976792476726e+08 2.5559202465237921e+08 2.5513926554301661e+08 2.5464550140347636e+08 2.5410345357966149e+08 2.5350492310674128e+08 2.5283457629740444e+08 2.5211149329265407e+08 2.5128321566743225e+08 2.5035468249165565e+08 2.4931243438801897e+08 2.4814198580686548e+08 2.4682839955947468e+08 2.4535669178591397e+08 2.4370686759487063e+08 2.4189823000436985e+08 2.3987510349378368e+08 2.3765467456283408e+08 2.3524207686227497e+08 2.3265622984307325e+08 2.2992932088581216e+08 2.2712261271236736e+08 2.2432412076611981e+08 2.2169883776157001e+08 2.1941255315601310e+08 2.1776871727637202e+08 2.1717384664861324e+08 2.1822927606890342e+08 2.2179975035156164e+08 2.2919632229138708e+08 2.4249223615521619e+08 2.6521055390267351e+08 3.7417714478183341e+08 +3.2548849616539322e+00 -1.5311900364432946e+08 -1.5308951435034969e+08 -1.5304179344271952e+08 -1.5297943017583430e+08 -1.5291626392263934e+08 -1.5287466583503091e+08 -1.5286481749023598e+08 -1.5286960505610552e+08 -1.5287122477215430e+08 -1.5286542693037209e+08 -1.5285349246129030e+08 -1.5283485685583180e+08 -1.5280807128168872e+08 -1.5277176314985019e+08 -1.5272455038584045e+08 -1.5266468781575942e+08 -1.5259008730101222e+08 -1.5249835946071050e+08 -1.5238669507623363e+08 -1.5225174555449402e+08 -1.5208954100371847e+08 -1.5189526276423553e+08 -1.5166197670385382e+08 -1.5137771363183174e+08 -1.5103066849732137e+08 -1.5061464972127452e+08 -1.5012082247748241e+08 -1.4953605594601956e+08 -1.4884428085882026e+08 -1.4802645895609760e+08 -1.4706011626481524e+08 -1.4591871882393280e+08 -1.4457093597372970e+08 -1.4297977177976292e+08 -1.4110156491212404e+08 -1.3888481066127166e+08 -1.3626884900861523e+08 -1.3318240217282914e+08 -1.2954204732499465e+08 -1.2525067826670125e+08 -1.1978574559890795e+08 -1.1328021286321995e+08 -1.0555413485535799e+08 -9.6410075065556645e+07 -8.5640514677888304e+07 -7.3041478998549953e+07 -5.8434262325806953e+07 -4.1696259699631095e+07 -2.2799702199996550e+07 -1.8546989520133319e+06 2.0844882123670883e+07 4.4840816598140724e+07 6.9532118169671193e+07 9.4159112801725581e+07 1.1796155391530836e+08 1.4026638679875824e+08 1.6056036969134724e+08 1.7853939511851794e+08 1.9409545237226433e+08 2.0731491375019506e+08 2.1836817230912247e+08 2.2751960881621650e+08 2.3501483554945552e+08 2.4113482045453194e+08 2.4609283770928741e+08 2.5007651656064376e+08 2.5326480122835878e+08 2.5576746493921340e+08 2.5767941264314651e+08 2.5909752437021756e+08 2.6006568959899011e+08 2.6067248379258263e+08 2.6097182675638920e+08 2.6103806903600675e+08 2.6092846793816322e+08 2.6068056255647695e+08 2.6036210723167548e+08 2.6001265337048015e+08 2.5963353893996838e+08 2.5934930046399060e+08 2.5905708259053627e+08 2.5875667014613232e+08 2.5844117300448728e+08 2.5811544943067706e+08 2.5776675247224414e+08 2.5742462082283115e+08 2.5703266793421152e+08 2.5661326032173783e+08 2.5615869693880063e+08 2.5566296465746316e+08 2.5511875573905310e+08 2.5451783845380408e+08 2.5384483704855201e+08 2.5311881258667472e+08 2.5228723021015310e+08 2.5135499166272593e+08 2.5030858378028944e+08 2.4913346313177669e+08 2.4781463283575043e+08 2.4633704915863055e+08 2.4468065581771219e+08 2.4286474125565010e+08 2.4083353569292411e+08 2.3860423929414678e+08 2.3618200622376326e+08 2.3358583151255435e+08 2.3084803114185539e+08 2.2803011261860490e+08 2.2522046007842287e+08 2.2258464127408034e+08 2.2028922586561215e+08 2.1863882605718300e+08 2.1804159919068891e+08 2.1910124996256506e+08 2.2268598627120432e+08 2.3011210791942176e+08 2.4346116836624002e+08 2.6627018994272524e+08 3.7395813675735390e+08 +3.2598532844281904e+00 -1.5195888139089316e+08 -1.5192955124777633e+08 -1.5188209001844215e+08 -1.5182005303860098e+08 -1.5175718092659715e+08 -1.5171570853476265e+08 -1.5170575681604892e+08 -1.5171031621887338e+08 -1.5171168274132347e+08 -1.5170562110309482e+08 -1.5169339356169441e+08 -1.5167442764665726e+08 -1.5164726981073117e+08 -1.5161053978119525e+08 -1.5156284535421437e+08 -1.5150243041016293e+08 -1.5142719325846377e+08 -1.5133472759269324e+08 -1.5122220411907044e+08 -1.5108625093306601e+08 -1.5092287092812943e+08 -1.5072721388229913e+08 -1.5049230762508392e+08 -1.5020611926838806e+08 -1.4985674215089291e+08 -1.4943792169891423e+08 -1.4894078657023641e+08 -1.4835213780189401e+08 -1.4765581368819717e+08 -1.4683266784556586e+08 -1.4586010276380932e+08 -1.4471144440913674e+08 -1.4335520441680789e+08 -1.4175421085215768e+08 -1.3986460802950341e+08 -1.3763467977748370e+08 -1.3500354027020067e+08 -1.3189967689691830e+08 -1.2823943153948210e+08 -1.2392547583952568e+08 -1.1843305391880801e+08 -1.1189654562543306e+08 -1.0413598522795714e+08 -9.4954122171572804e+07 -8.4143917845961601e+07 -7.1502270253247127e+07 -5.6851832378993459e+07 -4.0071904842046782e+07 -2.1137156284673572e+07 -1.6053884977765483e+05 2.2561128267952710e+07 4.6567008320779815e+07 7.1254349580771178e+07 9.5862956993665129e+07 1.1963348344899191e+08 1.4189513109100193e+08 1.6213777190978161e+08 1.8006073892400590e+08 1.9555922939276922e+08 2.0872225481061900e+08 2.1972209165594557e+08 2.2882431953425065e+08 2.3627514370432431e+08 2.4235573797794050e+08 2.4727927738876426e+08 2.5123313881591982e+08 2.5439594387660956e+08 2.5687710225223204e+08 2.5877111685789281e+08 2.6017451553732821e+08 2.6113082056698295e+08 2.6172825217750469e+08 2.6202038015987158e+08 2.6208121031941065e+08 2.6196759390749091e+08 2.6171669924689636e+08 2.6139594732926500e+08 2.6104460888679284e+08 2.6066380043374583e+08 2.6037839039017370e+08 2.6008499849013811e+08 2.5978339197699803e+08 2.5946664561663905e+08 2.5913963378719920e+08 2.5878957723406923e+08 2.5844603521362278e+08 2.5805253188925931e+08 2.5763146488311884e+08 2.5717510258859614e+08 2.5667740801344481e+08 2.5613104442100692e+08 2.5552774741414338e+08 2.5485209932505900e+08 2.5412314206371236e+08 2.5328826475110188e+08 2.5235233183605215e+08 2.5130177652758384e+08 2.5012199768502432e+08 2.4879793891086432e+08 2.4731449677661273e+08 2.4565155381507513e+08 2.4382838380957434e+08 2.4178912318039754e+08 2.3955098563880178e+08 2.3711914580308956e+08 2.3451267405917683e+08 2.3176401460716963e+08 2.2893491901267505e+08 2.2611413903320706e+08 2.2346781563585269e+08 2.2116329653124464e+08 2.1950635228207392e+08 2.1890677619902271e+08 2.1997063579908180e+08 2.2356959179736951e+08 2.3102517544254062e+08 2.4442722475924718e+08 2.6732668085237065e+08 3.7373702964545017e+08 +3.2648216072024487e+00 -1.5079488960984153e+08 -1.5076571914994168e+08 -1.5071851979719454e+08 -1.5065680706836382e+08 -1.5059423118896896e+08 -1.5055288468642581e+08 -1.5054282982686827e+08 -1.5054716108874258e+08 -1.5054827453593183e+08 -1.5054194927576676e+08 -1.5052942891750506e+08 -1.5051013302282441e+08 -1.5048260336817172e+08 -1.5044545200447747e+08 -1.5039727661840254e+08 -1.5033631016787645e+08 -1.5026043744194937e+08 -1.5016723523713496e+08 -1.5005385422697914e+08 -1.4991689924258739e+08 -1.4975234601829877e+08 -1.4955531283848825e+08 -1.4931878958946076e+08 -1.4903067984882367e+08 -1.4867897552709913e+08 -1.4825735916655126e+08 -1.4775692304132178e+08 -1.4716440024700800e+08 -1.4646353689666739e+08 -1.4563507879462218e+08 -1.4465630527412549e+08 -1.4350040269096485e+08 -1.4213572554206359e+08 -1.4052492658620629e+08 -1.3862395663492247e+08 -1.3638088910336486e+08 -1.3373461365093289e+08 -1.3061338442580406e+08 -1.2693330997017780e+08 -1.2259684214496854e+08 -1.1707702894721168e+08 -1.1050966584244598e+08 -1.0271477168182851e+08 -9.3495287745752200e+07 -8.2644662087811008e+07 -6.9960671992786914e+07 -5.5267335039150164e+07 -3.8445861402502149e+07 -1.9473357690794080e+07 1.5343859063666032e+06 2.4277610740458187e+07 4.8292886441207722e+07 7.2975719883742526e+07 9.7565421394479081e+07 1.2130356717960362e+08 1.4352163334391785e+08 1.6371261373580894e+08 1.8157928091238031e+08 1.9702003224710709e+08 2.1012650646526554e+08 2.2107285063216081e+08 2.3012583107933012e+08 2.3753223617406735e+08 2.4357343768256655e+08 2.4846250594339022e+08 2.5238656157081416e+08 2.5552390082285100e+08 2.5798356824664104e+08 2.5985966378495574e+08 2.6124836241734830e+08 2.6219281909491530e+08 2.6278089858478370e+08 2.6306582072360116e+08 2.6312124658189020e+08 2.6300362159827819e+08 2.6274974364690059e+08 2.6242670048277834e+08 2.6207348236090687e+08 2.6169098466878426e+08 2.6140440649227878e+08 2.6110984405112019e+08 2.6080704703202772e+08 2.6048905518814540e+08 2.6016075895672116e+08 2.5980934690360242e+08 2.5946439865088579e+08 2.5906934952840629e+08 2.5864662809184569e+08 2.5818847226545385e+08 2.5768882126425776e+08 2.5714030944043952e+08 2.5653463982643506e+08 2.5585635299200293e+08 2.5512447161855304e+08 2.5428630921823665e+08 2.5334669297683877e+08 2.5229200263701788e+08 2.5110757952022803e+08 2.4977830789155951e+08 2.4828902480509794e+08 2.4661955181782499e+08 2.4478914797053951e+08 2.4274185634104878e+08 2.4049490407123229e+08 2.3805348617127424e+08 2.3543674815708467e+08 2.3267726206552354e+08 2.2983702279088661e+08 2.2700514863860038e+08 2.2434835196097404e+08 2.2203475635835347e+08 2.2037128722232705e+08 2.1976936896824136e+08 2.2083742483090115e+08 2.2445055803896123e+08 2.3193551567349601e+08 2.4539039561388955e+08 2.6838001600174266e+08 3.7351383321423119e+08 +3.2697899299767070e+00 -1.4962705763982692e+08 -1.4959804546252942e+08 -1.4955110677677870e+08 -1.4948972019887924e+08 -1.4942744088664025e+08 -1.4938622074277404e+08 -1.4937606296476579e+08 -1.4938016610133791e+08 -1.4938102659869617e+08 -1.4937443789631772e+08 -1.4936162498120290e+08 -1.4934199944514146e+08 -1.4931409842480671e+08 -1.4927652630125391e+08 -1.4922787067261350e+08 -1.4916635359769720e+08 -1.4908984637676236e+08 -1.4899590894036296e+08 -1.4888167196959242e+08 -1.4874371708069894e+08 -1.4857799290430179e+08 -1.4837958630141324e+08 -1.4814144931148756e+08 -1.4785142214135805e+08 -1.4749739545988959e+08 -1.4707298903705525e+08 -1.4656925889715907e+08 -1.4597287039720458e+08 -1.4526747772766599e+08 -1.4443371919678041e+08 -1.4344875136435619e+08 -1.4228562144238725e+08 -1.4091252735967821e+08 -1.3929194726745996e+08 -1.3737963933183500e+08 -1.3512346760951811e+08 -1.3246209854209569e+08 -1.2932355463141879e+08 -1.2562371303388539e+08 -1.2126480821347511e+08 -1.1571770245190766e+08 -1.0911960609868288e+08 -1.0129052768887949e+08 -9.2033606201260313e+07 -8.1142782779772088e+07 -6.8416720530413315e+07 -5.3680807462042376e+07 -3.6818167195297688e+07 -1.7808344600907248e+07 3.2300371677778708e+06 2.5994291926319487e+07 5.0018414436842494e+07 7.4696194203469396e+07 9.9266473254927486e+07 1.2297177482160795e+08 1.4514586589640152e+08 1.6528487011728251e+08 1.8309499848032540e+08 1.9847784052679908e+08 2.1152765020384392e+08 2.2242043232724324e+08 2.3142412786444837e+08 2.3878609845627517e+08 2.4478790594796154e+08 2.4964251046877393e+08 2.5353677250146607e+08 2.5664866021219400e+08 2.5908685144580841e+08 2.6094504225011975e+08 2.6231905407586789e+08 2.6325167443520808e+08 2.6383041241029650e+08 2.6410813794965822e+08 2.6415816740216851e+08 2.6403654064359966e+08 2.6377968542740598e+08 2.6345435639057982e+08 2.6309926351240867e+08 2.6271508138122851e+08 2.6242733851887333e+08 2.6213160903319138e+08 2.6182762508388382e+08 2.6150839150333560e+08 2.6117881473665518e+08 2.6082605129158178e+08 2.6047970095968676e+08 2.6008311069241303e+08 2.5965873980481207e+08 2.5919879584439054e+08 2.5869719430453715e+08 2.5814654071334940e+08 2.5753850563026121e+08 2.5685758801537377e+08 2.5612279124671909e+08 2.5528135363952670e+08 2.5433806515010965e+08 2.5327925221451300e+08 2.5209019879017702e+08 2.5075572998217472e+08 2.4926062350676402e+08 2.4758464015440685e+08 2.4574702413942686e+08 2.4369172565613693e+08 2.4143598516009885e+08 2.3898501799275240e+08 2.3635804457365534e+08 2.3358776439202145e+08 2.3073641493974727e+08 2.2789347999208149e+08 2.2522624145126370e+08 2.2290359663994816e+08 2.2123362223599944e+08 2.2062936887991962e+08 2.2170160839729652e+08 2.2532887619420934e+08 2.3284311951680008e+08 2.4635067130684808e+08 2.6943018486621344e+08 3.7328855722827637e+08 +3.2747582527509653e+00 -1.4845540719995534e+08 -1.4842655699430162e+08 -1.4837988008776546e+08 -1.4831881856973091e+08 -1.4825683651274154e+08 -1.4821574315659687e+08 -1.4820548271791139e+08 -1.4820935774760041e+08 -1.4820996542306650e+08 -1.4820311346367869e+08 -1.4819000825582176e+08 -1.4817005342493811e+08 -1.4814178150261861e+08 -1.4810378920341858e+08 -1.4805465406166056e+08 -1.4799258725893697e+08 -1.4791544663918933e+08 -1.4782077529829431e+08 -1.4770568396671709e+08 -1.4756673109463206e+08 -1.4739983826609883e+08 -1.4720006098924929e+08 -1.4696031355447069e+08 -1.4666837296367607e+08 -1.4631202883274940e+08 -1.4588483827231851e+08 -1.4537782119199541e+08 -1.4477757541558865e+08 -1.4406766347189531e+08 -1.4322861649211434e+08 -1.4223746864842322e+08 -1.4106712848020345e+08 -1.3968563792265058e+08 -1.3805530122259346e+08 -1.3613168476361486e+08 -1.3386244430411555e+08 -1.3118602437037849e+08 -1.2803021741761401e+08 -1.2431067117590222e+08 -1.1992940509924996e+08 -1.1435510621901539e+08 -1.0772639899018514e+08 -9.9863286725366741e+07 -9.0569111945733234e+07 -7.9638315281160206e+07 -6.6870452149347231e+07 -5.2092286758253790e+07 -3.5188859972721480e+07 -1.6142155117253143e+07 4.9263768851683419e+06 2.7711134328652810e+07 5.1743555920126639e+07 7.6415737813913599e+07 1.0096607998445542e+08 1.2463807625389223e+08 1.4676780125327122e+08 1.6685451616506943e+08 1.8460786918260840e+08 1.9993263397559896e+08 2.1292566766195348e+08 2.2376481996916914e+08 2.3271919443585199e+08 2.4003671617552036e+08 2.4599912927632102e+08 2.5081927817946371e+08 2.5468375939900202e+08 2.5777021030287638e+08 2.6018694048298851e+08 2.6202724118777838e+08 2.6338657968539712e+08 2.6430737594650742e+08 2.6487678315472639e+08 2.6514732144448030e+08 2.6519196246363860e+08 2.6506634078052393e+08 2.6480651436339232e+08 2.6447890485397691e+08 2.6412194216272795e+08 2.6373608041041797e+08 2.6344717632084876e+08 2.6315028329937628e+08 2.6284511600653759e+08 2.6252464444937441e+08 2.6219379102651963e+08 2.6183968031059796e+08 2.6149193206669602e+08 2.6109380532303166e+08 2.6066778998078915e+08 2.6020606330162719e+08 2.5970251713003859e+08 2.5914972825616187e+08 2.5853933486570448e+08 2.5785579446126914e+08 2.5711809104331347e+08 2.5627338814302185e+08 2.5532643851988056e+08 2.5426351546535677e+08 2.5306984574546281e+08 2.5173019548548558e+08 2.5022928324239662e+08 2.4854680924949509e+08 2.4670200281246239e+08 2.4463872170137274e+08 2.4237421956896508e+08 2.3991373202545968e+08 2.3727655416832998e+08 2.3449551255324876e+08 2.3163308653622022e+08 2.2877912427989802e+08 2.2610147539727440e+08 2.2376980875597885e+08 2.2209334876751435e+08 2.2148676740182081e+08 2.2256317792457613e+08 2.2620453754875591e+08 2.3374797796767035e+08 2.4730804231065938e+08 2.7047717702725357e+08 3.7306121144841206e+08 +3.2797265755252236e+00 -1.4727997171348473e+08 -1.4725127891015911e+08 -1.4720486405157030e+08 -1.4714412975940335e+08 -1.4708244507939780e+08 -1.4704147842647752e+08 -1.4703111562393597e+08 -1.4703476257099518e+08 -1.4703511755204636e+08 -1.4702800252677476e+08 -1.4701460529395041e+08 -1.4699432152376515e+08 -1.4696567917272192e+08 -1.4692726729301500e+08 -1.4687765337956461e+08 -1.4681503776027399e+08 -1.4673726485495374e+08 -1.4664186095649770e+08 -1.4652591688709432e+08 -1.4638596798077369e+08 -1.4621790883241403e+08 -1.4601676366907135e+08 -1.4577540913051915e+08 -1.4548155918167686e+08 -1.4512290257650802e+08 -1.4469293388149828e+08 -1.4418263702750966e+08 -1.4357854251188973e+08 -1.4286412146610782e+08 -1.4201979816553628e+08 -1.4102248478473812e+08 -1.3984495166469857e+08 -1.3845508532575557e+08 -1.3681501681874418e+08 -1.3488012161224571e+08 -1.3259784823162815e+08 -1.2990642059603657e+08 -1.2673340271941417e+08 -1.2299421486880180e+08 -1.1859066387973586e+08 -1.1298927205229305e+08 -1.0633007712427096e+08 -9.8433082270309031e+07 -8.9101839380087361e+07 -7.8131294933570862e+07 -6.5321903101873860e+07 -5.0501809992413729e+07 -3.3557977424003355e+07 -1.4474827260704035e+07 6.6233671095268587e+06 2.9428100569351900e+07 5.3468274638924845e+07 7.8134316138136446e+07 1.0266420915189736e+08 1.2630244151987043e+08 1.4838741208449382e+08 1.6842152715353349e+08 1.8611787073247379e+08 2.0138439248905560e+08 2.1432054062018144e+08 2.2510599692468205e+08 2.3401101547225875e+08 2.4128407508343607e+08 2.4720709429272711e+08 2.5199279640861270e+08 2.5582751017021915e+08 2.5888853946534458e+08 2.6128382410282415e+08 2.6310624964141971e+08 2.6445092852623013e+08 2.6535991309348777e+08 2.6592000042377219e+08 2.6618336091928294e+08 2.6622262155275825e+08 2.6609301184961122e+08 2.6583022033229181e+08 2.6550033577741209e+08 2.6514150823661983e+08 2.6475397169831583e+08 2.6446390985196334e+08 2.6416585681458476e+08 2.6385950977701414e+08 2.6353780401476014e+08 2.6320567782766670e+08 2.6285022397569403e+08 2.6250108200085965e+08 2.6210142346421313e+08 2.6167376867939958e+08 2.6121026471460596e+08 2.6070477983702973e+08 2.6014986218654242e+08 2.5953711767400205e+08 2.5885096249659261e+08 2.5811036120374382e+08 2.5726240295596594e+08 2.5631180334969261e+08 2.5524478269352341e+08 2.5404651073608223e+08 2.5270169480193737e+08 2.5119499446947524e+08 2.4950604962467214e+08 2.4765407458241177e+08 2.4558283514827430e+08 2.4330959805492112e+08 2.4083961912060726e+08 2.3819226789283970e+08 2.3540049760711598e+08 2.3252702874709430e+08 2.2966207277753934e+08 2.2697404517681554e+08 2.2463338417316350e+08 2.2295045834770381e+08 2.2234155608718207e+08 2.2342212492533034e+08 2.2707753347654599e+08 2.3465008211250544e+08 2.4826249919413394e+08 2.7152098217085284e+08 3.7283180563149112e+08 +3.2846948982994819e+00 -1.4610077213530692e+08 -1.4607224055570787e+08 -1.4602608597504705e+08 -1.4596568051866436e+08 -1.4590429293059808e+08 -1.4586345317582747e+08 -1.4585298826896048e+08 -1.4585640716604200e+08 -1.4585650957584080e+08 -1.4584913168291017e+08 -1.4583544269687808e+08 -1.4581483035178539e+08 -1.4578581805505350e+08 -1.4574698719996852e+08 -1.4569689526897153e+08 -1.4563373175890228e+08 -1.4555532769750547e+08 -1.4545919260841995e+08 -1.4534239744807497e+08 -1.4520145448354998e+08 -1.4503223137987578e+08 -1.4482972115561318e+08 -1.4458676289894578e+08 -1.4429100770829207e+08 -1.4393004366899818e+08 -1.4349730292026079e+08 -1.4298373355099329e+08 -1.4237579894129303e+08 -1.4165687909162775e+08 -1.4080729174591342e+08 -1.3980382747458690e+08 -1.3861911889812508e+08 -1.3722089770489123e+08 -1.3557112246264935e+08 -1.3362497859749570e+08 -1.3132970847207303e+08 -1.2862331671249157e+08 -1.2543314050133732e+08 -1.2167437461147650e+08 -1.1724861565407746e+08 -1.1162023177167179e+08 -1.0493067311782660e+08 -9.6999947804276869e+07 -8.7631822897404864e+07 -7.6621757059332594e+07 -6.3771109607820392e+07 -4.8909414181575298e+07 -3.1925557174167693e+07 -1.2806398969778050e+07 8.3209699930120101e+06 3.1145153389847696e+07 5.5192534477444462e+07 7.9851894749225959e+07 1.0436082848541489e+08 1.2796484082747245e+08 1.5000467122586048e+08 1.6998587851958597e+08 1.8762498100131810e+08 2.0283309611487114e+08 2.1571225100412115e+08 2.2644394669920349e+08 2.3529957578405416e+08 2.4252816105881193e+08 2.4841178774356905e+08 2.5316305260757443e+08 2.5696801283716708e+08 2.6000363618259788e+08 2.6237749115917161e+08 2.6418205676198244e+08 2.6551208998502833e+08 2.6640927544632629e+08 2.6696005392810574e+08 2.6721624618911931e+08 2.6725013456046933e+08 2.6711654379432175e+08 2.6685079331469727e+08 2.6651863916761968e+08 2.6615795176110014e+08 2.6576874528922686e+08 2.6547752916777012e+08 2.6517831964613688e+08 2.6487079647378522e+08 2.6454786029044542e+08 2.6421446524347830e+08 2.6385767240293324e+08 2.6350714089198118e+08 2.6310595526100287e+08 2.6267666606178284e+08 2.6221139026200593e+08 2.6170397262280315e+08 2.6114693272279754e+08 2.6053184429588261e+08 2.5984308238785347e+08 2.5909959202312240e+08 2.5824838840555438e+08 2.5729415000248009e+08 2.5622304430162472e+08 2.5502018420965162e+08 2.5367021842995289e+08 2.5215774774276093e+08 2.5046235189813712e+08 2.4860323013754407e+08 2.4652405676281980e+08 2.4424211146966746e+08 2.4176267022272286e+08 2.3910517679106432e+08 2.3630271070226938e+08 2.3341823282904008e+08 2.3054231684951568e+08 2.2784394225610074e+08 2.2549431444548976e+08 2.2380494259361035e+08 2.2319372657611591e+08 2.2427844099856102e+08 2.2794785543925181e+08 2.3554942312807545e+08 2.4921403262226444e+08 2.7256159008811343e+08 3.7260034953017122e+08 +3.2896632210737402e+00 -1.4491783574790588e+08 -1.4488946607366288e+08 -1.4484357356698817e+08 -1.4478349576476023e+08 -1.4472240645134160e+08 -1.4468169412493807e+08 -1.4467112728155860e+08 -1.4467431817440519e+08 -1.4467416813093176e+08 -1.4466652757724732e+08 -1.4465254711360624e+08 -1.4463160656713352e+08 -1.4460222481694946e+08 -1.4456297560209194e+08 -1.4451240641996357e+08 -1.4444869595887408e+08 -1.4436966188801077e+08 -1.4427279699519971e+08 -1.4415515241335863e+08 -1.4401321739427122e+08 -1.4384283273212743e+08 -1.4363896030986509e+08 -1.4339440176596776e+08 -1.4309674550281215e+08 -1.4273347913410497e+08 -1.4229797248964477e+08 -1.4178113795505664e+08 -1.4116937200354061e+08 -1.4044596377369574e+08 -1.3959112480545279e+08 -1.3858152446145117e+08 -1.3738965812356704e+08 -1.3598310323552984e+08 -1.3432364659892568e+08 -1.3236628447502817e+08 -1.3005805413979705e+08 -1.2733674224470769e+08 -1.2412946075687456e+08 -1.2035118092791048e+08 -1.1590329154246381e+08 -1.1024801721256991e+08 -1.0352821959600924e+08 -9.5563916808488294e+07 -8.6159096881685868e+07 -7.5109736960458606e+07 -6.2218107853792183e+07 -4.7315136294491954e+07 -3.0291636783057176e+07 -1.1136908099639939e+07 1.0019147789864698e+07 3.2862255651909050e+07 5.6916299456552707e+07 8.1568439370495975e+07 1.0605590587280096e+08 1.2962524454953910e+08 1.5161955167888290e+08 1.7154754586350721e+08 1.8912917801871181e+08 2.0427872505216172e+08 2.1710078088410679e+08 2.2777865293595740e+08 2.3658486031468251e+08 2.4376896010683426e+08 2.4961319649880520e+08 2.5433003434574008e+08 2.5810525553655049e+08 2.6111548904991490e+08 2.6346793061634523e+08 2.6525465180927435e+08 2.6657005355542621e+08 2.6745545268102893e+08 2.6799693348323864e+08 2.6824596717288631e+08 2.6827449148041746e+08 2.6813692666163570e+08 2.6786822339421713e+08 2.6753380513402313e+08 2.6717126286580142e+08 2.6678039132944760e+08 2.6648802442602456e+08 2.6618766196285293e+08 2.6587896627752870e+08 2.6555480346890444e+08 2.6522014347858563e+08 2.6486201580995017e+08 2.6451009897153074e+08 2.6410739095951894e+08 2.6367647238997263e+08 2.6320943022248095e+08 2.6270008578549322e+08 2.6214093018364477e+08 2.6152350507286435e+08 2.6083214450163651e+08 2.6008577389647675e+08 2.5923133491819683e+08 2.5827346893948284e+08 2.5719829079091442e+08 2.5599085671185675e+08 2.5463575696505532e+08 2.5311753371442351e+08 2.5141570678428161e+08 2.4954946026171520e+08 2.4746237740591019e+08 2.4517175075901192e+08 2.4268287636902380e+08 2.4001527199895206e+08 2.3720214307843688e+08 2.3430669012878329e+08 2.3141984794847801e+08 2.2871115818839070e+08 2.2635259121374273e+08 2.2465679320869476e+08 2.2404327059407580e+08 2.2513211782953224e+08 2.2881549498608953e+08 2.3644599228191179e+08 2.5016263335573268e+08 2.7359899067520887e+08 3.7236685289269775e+08 +3.2946315438479985e+00 -1.4373119119251800e+08 -1.4370298234740672e+08 -1.4365735122462463e+08 -1.4359760241482320e+08 -1.4353681238024861e+08 -1.4349622802342743e+08 -1.4348555932539389e+08 -1.4348852228262314e+08 -1.4348811989911133e+08 -1.4348021690044340e+08 -1.4346594523977390e+08 -1.4344467687459660e+08 -1.4341492617204511e+08 -1.4337525922312653e+08 -1.4332421356893465e+08 -1.4325995711117843e+08 -1.4318029419375363e+08 -1.4308270090352523e+08 -1.4296420859319153e+08 -1.4282128355006218e+08 -1.4264973975795448e+08 -1.4244450803881928e+08 -1.4219835268238235e+08 -1.4189879956921852e+08 -1.4153323604001474e+08 -1.4109496973520803e+08 -1.4057487747581375e+08 -1.3995928904147258e+08 -1.3923140298004130e+08 -1.3837132495809460e+08 -1.3735560352977082e+08 -1.3615659732433516e+08 -1.3474173013191876e+08 -1.3307261770942391e+08 -1.3110406803624691e+08 -1.2878291438213256e+08 -1.2604672674822243e+08 -1.2282239350679822e+08 -1.1902466436564036e+08 -1.1455472268441595e+08 -1.0887266022424133e+08 -1.0212274919157562e+08 -9.4125022763269737e+07 -8.4683695706719652e+07 -7.3595269917589784e+07 -6.0662933991628148e+07 -4.5719013250226304e+07 -2.8656253744127735e+07 -9.4663924211220909e+06 1.1717862857275214e+07 3.4579370338369980e+07 5.8639533734658562e+07 8.3283915875909686e+07 1.0774940936216784e+08 1.3128362322382626e+08 1.5323202661056781e+08 1.7310650494871026e+08 1.9063043997175169e+08 2.0572125965166509e+08 2.1848611247512940e+08 2.2911009941630673e+08 2.3786685413847539e+08 2.4500645835953030e+08 2.5081130754894716e+08 2.5549372931113562e+08 2.5923922651948625e+08 2.6222408677423999e+08 2.6455513154852736e+08 2.6632402415084752e+08 2.6762480883740979e+08 2.6849843457873636e+08 2.6903062900873888e+08 2.6927251389366359e+08 2.6929568240981328e+08 2.6915415060109514e+08 2.6888250075671661e+08 2.6854582388882458e+08 2.6818143178262103e+08 2.6778890006774500e+08 2.6749538588662413e+08 2.6719387403592718e+08 2.6688400947049537e+08 2.6655862384426856e+08 2.6622270283923563e+08 2.6586324451608354e+08 2.6550994657188955e+08 2.6510572090690371e+08 2.6467317802685240e+08 2.6420437497641683e+08 2.6369310972379363e+08 2.6313184498771355e+08 2.6251209044636598e+08 2.6181813930405566e+08 2.6106889731798884e+08 2.6021123301874968e+08 2.5924975072154966e+08 2.5817051276133344e+08 2.5695851888633388e+08 2.5559830110057324e+08 2.5407434313266400e+08 2.5236610509357399e+08 2.5049275583441585e+08 2.4839778803317556e+08 2.4609850696172601e+08 2.4360022868975300e+08 2.4092254474399093e+08 2.3809878606619227e+08 2.3519239208233508e+08 2.3229465761582074e+08 2.2957568461491212e+08 2.2720820620475686e+08 2.2550600198172793e+08 2.2489017995208779e+08 2.2598314718970820e+08 2.2968044375391829e+08 2.3733978093209046e+08 2.5110829225084737e+08 2.7463317393289250e+08 3.7213132546268636e+08 +3.2995998666222568e+00 -1.4254086408921692e+08 -1.4251281644658476e+08 -1.4246744881911010e+08 -1.4240802793635821e+08 -1.4234753740766379e+08 -1.4230708161825472e+08 -1.4229631110066608e+08 -1.4229904621853223e+08 -1.4229839160712445e+08 -1.4229022638801053e+08 -1.4227566381678316e+08 -1.4225406802454269e+08 -1.4222394887961972e+08 -1.4218386483274162e+08 -1.4213234349726897e+08 -1.4206754201149300e+08 -1.4198725142715693e+08 -1.4188893116536856e+08 -1.4176959284243023e+08 -1.4162567983294579e+08 -1.4145297937129974e+08 -1.4124639129352543e+08 -1.4099864264362538e+08 -1.4069719695563728e+08 -1.4032934149896890e+08 -1.3988832184552589e+08 -1.3936497939249977e+08 -1.3874557744033286e+08 -1.3801322422037941e+08 -1.3714791985854965e+08 -1.3612609250412351e+08 -1.3491996452243531e+08 -1.3349680664556608e+08 -1.3181806431212559e+08 -1.2983835810653499e+08 -1.2750431837852959e+08 -1.2475329980831742e+08 -1.2151196879848035e+08 -1.1769485549546413e+08 -1.1320294023811188e+08 -1.0749419266867909e+08 -1.0071429454343966e+08 -9.2683299147453874e+07 -8.3205653734969273e+07 -7.2078391188675866e+07 -5.9105624137528963e+07 -4.4121081917276770e+07 -2.7019445483585950e+07 -7.7948896197060505e+06 1.3417077656271666e+07 3.6296460553870708e+07 6.0362201608140312e+07 8.4998290290612355e+07 1.0944130716169590e+08 1.3293994755320224e+08 1.5484206935368958e+08 1.7466273170124578e+08 1.9212874520565361e+08 2.0716068041521919e+08 2.1986822813685721e+08 2.3043827005951387e+08 2.3914554246234119e+08 2.4624064207503572e+08 2.5200610800688553e+08 2.5665412530854276e+08 2.6036991415201846e+08 2.6332941817468452e+08 2.6563908313906935e+08 2.6739016326214167e+08 2.6867634553738326e+08 2.6953821102571285e+08 2.7006113052873832e+08 2.7029587647776198e+08 2.7031369754900229e+08 2.7016820586487973e+08 2.6989361569054323e+08 2.6955468574588317e+08 2.6918844884479743e+08 2.6879426185410947e+08 2.6849960391105592e+08 2.6819694623773181e+08 2.6788591643644679e+08 2.6755931181182826e+08 2.6722213373309213e+08 2.6686134894123617e+08 2.6650667412678900e+08 2.6610093555123556e+08 2.6566677343606967e+08 2.6519621500399494e+08 2.6468303493623078e+08 2.6411966765407592e+08 2.6349759095760608e+08 2.6280105736131018e+08 2.6204895288078237e+08 2.6118807333217338e+08 2.6022298600744346e+08 2.5913970091047314e+08 2.5792316147465560e+08 2.5655784162692454e+08 2.5502816684289214e+08 2.5331353773260444e+08 2.5143310783014584e+08 2.4933027969447187e+08 2.4702237121093822e+08 2.4451471840766832e+08 2.4182698634535491e+08 2.3899263108612132e+08 2.3607533021552035e+08 2.3316673748141840e+08 2.3043751326349548e+08 2.2806115123218453e+08 2.2635256078755426e+08 2.2573444654719028e+08 2.2683152093629286e+08 2.3054269346677303e+08 2.3823078052693588e+08 2.5205100025959668e+08 2.7566412996593624e+08 3.7189377697890794e+08 +3.3045681893965151e+00 -1.4134688217525762e+08 -1.4131899449707198e+08 -1.4127388988683897e+08 -1.4121479932512733e+08 -1.4115460824386615e+08 -1.4111428165195030e+08 -1.4110340935260329e+08 -1.4110591675036171e+08 -1.4110501002630168e+08 -1.4109658281926149e+08 -1.4108172963061315e+08 -1.4105980681219497e+08 -1.4102931974299434e+08 -1.4098881924453464e+08 -1.4093682303098744e+08 -1.4087147749995926e+08 -1.4079056044467697e+08 -1.4069151465677261e+08 -1.4057133206010795e+08 -1.4042643316867000e+08 -1.4025257852960563e+08 -1.4004463706882039e+08 -1.3979529868850297e+08 -1.3949196475335017e+08 -1.3912182266550633e+08 -1.3867805605161715e+08 -1.3815147102594450e+08 -1.3752826462673801e+08 -1.3679145504461983e+08 -1.3592093720145398e+08 -1.3489301924766082e+08 -1.3367978777779779e+08 -1.3224836106481215e+08 -1.3056001495996988e+08 -1.2856918354445761e+08 -1.2622229533950962e+08 -1.2345649103820653e+08 -1.2019821670456643e+08 -1.1636178490949970e+08 -1.1184797537876782e+08 -1.0611264641987924e+08 -9.9302888295297176e+07 -9.1238779436607733e+07 -8.1725005316400051e+07 -7.0559136007945612e+07 -5.7546214370829582e+07 -4.2521379112285234e+07 -2.5381249359189630e+07 -6.1224372946036989e+06 1.5116754752592197e+07 3.8013489525661290e+07 6.2084267511971369e+07 8.6711528791514978e+07 1.1113156764025345e+08 1.3459418840566313e+08 1.5644965340687340e+08 1.7621620221000743e+08 1.9362407222304422e+08 2.0859696799614075e+08 2.2124711037332433e+08 2.3176314892221844e+08 2.4042091062400860e+08 2.4747149763741392e+08 2.5319758510668808e+08 2.5781121026093680e+08 2.6149730691435012e+08 2.6443147218165004e+08 2.6671977468095398e+08 2.6845305872608781e+08 2.6972465346800822e+08 2.7057477201394594e+08 2.7108842817139238e+08 2.7131604515519238e+08 2.7132852720118219e+08 2.7117908280794513e+08 2.7090155858653373e+08 2.7056038112135333e+08 2.7019230448797488e+08 2.6979646714059216e+08 2.6950066896219140e+08 2.6919686904243630e+08 2.6888467766038245e+08 2.6855685786851603e+08 2.6821842666835219e+08 2.6785631960633069e+08 2.6750027217038479e+08 2.6709302544129020e+08 2.6665724918141356e+08 2.6618494088596237e+08 2.6566985202154619e+08 2.6510438880127472e+08 2.6447999724708220e+08 2.6378088933871886e+08 2.6302593127779248e+08 2.6216184658144960e+08 2.6119316555413961e+08 2.6010584603412130e+08 2.5888477531575692e+08 2.5751436943128854e+08 2.5597899578677219e+08 2.5425799570357963e+08 2.5237050731857347e+08 2.5025984353444630e+08 2.4794333473266360e+08 2.4542633683796570e+08 2.4272858821371394e+08 2.3988366964946806e+08 2.3695549614291039e+08 2.3403607926308754e+08 2.3129663594989669e+08 2.2891141819572526e+08 2.2719646158646789e+08 2.2657606236136609e+08 2.2767723101235175e+08 2.3140223593604955e+08 2.3911898260448879e+08 2.5299074842889029e+08 2.7669184898381513e+08 3.7165421717507571e+08 +3.3095365121707734e+00 -1.4014927041989243e+08 -1.4012154494883823e+08 -1.4007670319212565e+08 -1.4001794262420723e+08 -1.3995805202504563e+08 -1.3991785487993801e+08 -1.3990688087925750e+08 -1.3990916068566146e+08 -1.3990800197272453e+08 -1.3989931301588792e+08 -1.3988416951079223e+08 -1.3986192007589820e+08 -1.3983106560880888e+08 -1.3979014931557882e+08 -1.3973767903925696e+08 -1.3967179045993036e+08 -1.3959024814580941e+08 -1.3949047829664910e+08 -1.3936945318788332e+08 -1.3922357052571183e+08 -1.3904856423288274e+08 -1.3883927240167493e+08 -1.3858834789793727e+08 -1.3828313009532702e+08 -1.3791070673608738e+08 -1.3746419962562060e+08 -1.3693437973794776e+08 -1.3630737806713122e+08 -1.3556612304238632e+08 -1.3469040472017753e+08 -1.3365641166168745e+08 -1.3243609518682948e+08 -1.3099642171330662e+08 -1.2929849823964652e+08 -1.2729657324104713e+08 -1.2493687450531603e+08 -1.2215633007890418e+08 -1.1888116732197334e+08 -1.1502548322064392e+08 -1.1048985929808055e+08 -1.0472805336233366e+08 -9.7888563095033854e+07 -8.9791497102236569e+07 -8.0241784787148267e+07 -6.9037539584646240e+07 -5.5984740732937627e+07 -4.0919941599057451e+07 -2.3741702659196433e+07 -4.4490729577622982e+06 1.6816856817534819e+07 3.9730420604300238e+07 6.3805696020379812e+07 8.8423597707405299e+07 1.1282015932780249e+08 1.3624631681482580e+08 1.5805475243428382e+08 1.7776689272700259e+08 1.9511639968405840e+08 2.1003010319860640e+08 2.2262274183223000e+08 2.3308472019852024e+08 2.4169294409280592e+08 2.4869901155712670e+08 2.5438572620376217e+08 2.5896497220867845e+08 2.6262139340061963e+08 2.6553023783717132e+08 2.6779719557641223e+08 2.6951270023271084e+08 2.7076972254752851e+08 2.7160810763905764e+08 2.7211251216862535e+08 2.7233301025889134e+08 2.7234016177209479e+08 2.7218677188747287e+08 2.7190631993705201e+08 2.7156290053295541e+08 2.7119298924956554e+08 2.7079550648076046e+08 2.7049857160446984e+08 2.7019363302475572e+08 2.6988028372824031e+08 2.6955125261148423e+08 2.6921157225469786e+08 2.6884814713355356e+08 2.6849073133746707e+08 2.6808198122582269e+08 2.6764459592730770e+08 2.6717054330294606e+08 2.6665355167852241e+08 2.6608599914795929e+08 2.6545930005531663e+08 2.6475762600048113e+08 2.6399982330047703e+08 2.6313254358799818e+08 2.6216028021762884e+08 2.6106893902553499e+08 2.5984335134580746e+08 2.5846787549798304e+08 2.5692682100217226e+08 2.5519947010414401e+08 2.5330494546429667e+08 2.5118647079115373e+08 2.4886138884653726e+08 2.4633507538823012e+08 2.4362734185120863e+08 2.4077189335807884e+08 2.3783288156845179e+08 2.3490267476682594e+08 2.3215304457634774e+08 2.2975899908112660e+08 2.2803769642452693e+08 2.2741501946195447e+08 2.2852026944654596e+08 2.3225906305988413e+08 2.4000437879293388e+08 2.5392752790120730e+08 2.7771632129978663e+08 3.7141265577963185e+08 +3.3145048349450317e+00 -1.3894805707624209e+08 -1.3892049282116076e+08 -1.3887591613984427e+08 -1.3881748485673934e+08 -1.3875789570386362e+08 -1.3871782808756778e+08 -1.3870675253493011e+08 -1.3870880487310058e+08 -1.3870739430576408e+08 -1.3869844384143454e+08 -1.3868301032967058e+08 -1.3866043469655287e+08 -1.3862921336604056e+08 -1.3858788194503057e+08 -1.3853493843314275e+08 -1.3846850781674609e+08 -1.3838634147238287e+08 -1.3828584904597017e+08 -1.3816398320945132e+08 -1.3801711891436446e+08 -1.3784096352261889e+08 -1.3763032437067369e+08 -1.3737781739362329e+08 -1.3707072015562648e+08 -1.3669602094751436e+08 -1.3624677987982938e+08 -1.3571373292969587e+08 -1.3508294526744491e+08 -1.3433725584179851e+08 -1.3345635018590191e+08 -1.3241629768398732e+08 -1.3118891488208678e+08 -1.2974101694899361e+08 -1.2803354277065194e+08 -1.2602055611754045e+08 -1.2364808514518912e+08 -1.2085284659725034e+08 -1.1756085077048947e+08 -1.1368598106095907e+08 -1.0912862320271453e+08 -1.0334044539001542e+08 -9.6471351593051538e+07 -8.8341485610571608e+07 -7.8756026468571827e+07 -6.7513637102011457e+07 -5.4421239226026855e+07 -3.9316806087348670e+07 -2.2100842601490028e+07 -2.7748340329148876e+06 1.8517346628817521e+07 4.1447217264298931e+07 6.5526451847349957e+07 9.0134463519691855e+07 1.1450705091506207e+08 1.3789630397951129e+08 1.5965734026585439e+08 1.7931477966633388e+08 1.9660570640616786e+08 2.1146006697704586e+08 2.2399510530504194e+08 2.3440296821954349e+08 2.4296162846889564e+08 2.4992317046958867e+08 2.5557051877447861e+08 2.6011539930877644e+08 2.6374216231903699e+08 2.6662570429422244e+08 2.6887133533649725e+08 2.7056907757983518e+08 2.7181154280030221e+08 2.7263820810195839e+08 2.7313337285625124e+08 2.7334676222487032e+08 2.7334859177014172e+08 2.7319126366259480e+08 2.7290789033695269e+08 2.7256223460035545e+08 2.7219049376768082e+08 2.7179137052896434e+08 2.7149330250338537e+08 2.7118722886124212e+08 2.7087272532708365e+08 2.7054248673905569e+08 2.7020156120189214e+08 2.6983682224486661e+08 2.6947804236333531e+08 2.6906779365428668e+08 2.6862880443803096e+08 2.6815301303571999e+08 2.6763412470548627e+08 2.6706448951205146e+08 2.6643549022172838e+08 2.6573125821019620e+08 2.6497061983932763e+08 2.6410015527223665e+08 2.6312432095133299e+08 2.6202897087636021e+08 2.6079888059813476e+08 2.5941835090772563e+08 2.5787163362297061e+08 2.5613795212804985e+08 2.5423641352650502e+08 2.5211015279713407e+08 2.4977652496491209e+08 2.4724092555795693e+08 2.4452323885030264e+08 2.4165729390307188e+08 2.3870747828518397e+08 2.3576651588639325e+08 2.3300673113193554e+08 2.3060388596032172e+08 2.2887625743242827e+08 2.2825131000104731e+08 2.2936062835317293e+08 2.3311316682367086e+08 2.4088696081051147e+08 2.5486132991371131e+08 2.7873753733106297e+08 3.7116910251553762e+08 +3.3194731577192900e+00 -1.3774326866360590e+08 -1.3771586633454791e+08 -1.3767155369001007e+08 -1.3761345338474524e+08 -1.3755416599483687e+08 -1.3751422812884954e+08 -1.3750305122490746e+08 -1.3750487620304355e+08 -1.3750321392790464e+08 -1.3749400220044875e+08 -1.3747827900086692e+08 -1.3745537759635618e+08 -1.3742378994479743e+08 -1.3738204407336664e+08 -1.3732862816522694e+08 -1.3726165653686512e+08 -1.3717886740705532e+08 -1.3707765390658233e+08 -1.3695494914933351e+08 -1.3680710538552260e+08 -1.3662980348105153e+08 -1.3641782009452400e+08 -1.3616373433793345e+08 -1.3585476214790168e+08 -1.3547779257622349e+08 -1.3502582416581857e+08 -1.3448955804137877e+08 -1.3385499377143382e+08 -1.3310488110838473e+08 -1.3221880140630923e+08 -1.3117270528832294e+08 -1.2993827503005980e+08 -1.2848217516335137e+08 -1.2676517720452552e+08 -1.2474116112564778e+08 -1.2235595655582409e+08 -1.1954607028539968e+08 -1.1623729719226974e+08 -1.1234330908117072e+08 -1.0776429831304632e+08 -1.0194985440510710e+08 -9.5051286441502109e+07 -8.6888778421207264e+07 -7.7267764666111246e+07 -6.5987463715989538e+07 -5.2855745812248096e+07 -3.7712009232074663e+07 -2.0458706332395718e+07 -1.0997578546472474e+06 2.0218187071382575e+07 4.3163843104940929e+07 6.7246499847200021e+07 9.1844092862325221e+07 1.1619221125452815e+08 1.3954412126423320e+08 1.6125739089752227e+08 1.8085983960521469e+08 1.9809197136415872e+08 2.1288684043730384e+08 2.2536418372728264e+08 2.3571787745356929e+08 2.4422694948331201e+08 2.5114396113598457e+08 2.5675195041607067e+08 2.6126247983560389e+08 2.6485960249142545e+08 2.6771786081711355e+08 2.6994218358097857e+08 2.7162218067164820e+08 2.7285010435598201e+08 2.7366506370807141e+08 2.7415100067354333e+08 2.7435729159226763e+08 2.7435380780603188e+08 2.7419254879458046e+08 2.7390626048193455e+08 2.7355837404427212e+08 2.7318480878219277e+08 2.7278405004108411e+08 2.7248485242511415e+08 2.7217764732872802e+08 2.7186199324492657e+08 2.7153055105046505e+08 2.7118838432058245e+08 2.7082233576286697e+08 2.7046219608337522e+08 2.7005045357595354e+08 2.6960986557760322e+08 2.6913234096435994e+08 2.6861156200051540e+08 2.6803985081067622e+08 2.6740855868489474e+08 2.6670177693002963e+08 2.6593831188243920e+08 2.6506467265208757e+08 2.6408527880672041e+08 2.6298593267496040e+08 2.6175135420333299e+08 2.6036578683785430e+08 2.5881342487899986e+08 2.5707343306337792e+08 2.5516490285907999e+08 2.5303088097827727e+08 2.5068873459307152e+08 2.4814387893886355e+08 2.4541627089547393e+08 2.4253986306589139e+08 2.3957927817450345e+08 2.3662759460291269e+08 2.3385768769249707e+08 2.3144607099048302e+08 2.2971213682656494e+08 2.2908492621598244e+08 2.3019829993147233e+08 2.3396453929921189e+08 2.4176672046425927e+08 2.5579214579838175e+08 2.7975548759828317e+08 3.7092356710006422e+08 +3.3244414804935483e+00 -1.3653493275652239e+08 -1.3650769176550272e+08 -1.3646364318710998e+08 -1.3640587469110388e+08 -1.3634688952777031e+08 -1.3630708193134740e+08 -1.3629580389371538e+08 -1.3629740160859662e+08 -1.3629548778257102e+08 -1.3628601503741556e+08 -1.3627000247847885e+08 -1.3624677573760960e+08 -1.3621482231537598e+08 -1.3617266268128461e+08 -1.3611877522790447e+08 -1.3605126362676969e+08 -1.3596785297249058e+08 -1.3586591992043114e+08 -1.3574237807166737e+08 -1.3559355702983794e+08 -1.3541511122978419e+08 -1.3520178673148528e+08 -1.3494612593191424e+08 -1.3463528332487917e+08 -1.3425604893714568e+08 -1.3380135987315375e+08 -1.3326188255053435e+08 -1.3262355116010042e+08 -1.3186902654402089e+08 -1.3097778622445436e+08 -1.2992566248296316e+08 -1.2868420383129846e+08 -1.2721992477972326e+08 -1.2549343022309448e+08 -1.2345841724574691e+08 -1.2106051806075668e+08 -1.1823603085936433e+08 -1.1491053675005987e+08 -1.1099749794882300e+08 -1.0639691586268096e+08 -1.0055631231709798e+08 -9.3628400292875662e+07 -8.5433408986530632e+07 -7.5777033668078706e+07 -6.4459054554361351e+07 -5.1288296412275888e+07 -3.6105587631806083e+07 -1.8815330925739195e+07 5.7611833254070755e+05 2.1919341138285685e+07 4.4880261850968525e+07 6.8965805015107200e+07 9.3552452522886068e+07 1.1787560936015557e+08 1.4118974019938406e+08 1.6285487849052933e+08 1.8240204928290138e+08 1.9957517368958807e+08 2.1431040483512697e+08 2.2672996017759851e+08 2.3702943250538576e+08 2.4548889299774826e+08 2.5236137044281605e+08 2.5793000884610027e+08 2.6240620218000638e+08 2.6597370285277283e+08 2.6880669678025872e+08 2.7100973003845608e+08 2.7267199951956278e+08 2.7388539744980317e+08 2.7468866486654776e+08 2.7516538616315770e+08 2.7536458900224292e+08 2.7535580059250492e+08 2.7519061804608250e+08 2.7490142116978234e+08 2.7455130968702561e+08 2.7417592513417608e+08 2.7377353587373495e+08 2.7347321223695630e+08 2.7316487930503994e+08 2.7284807836954838e+08 2.7251543644469452e+08 2.7217203252144074e+08 2.7180467861036193e+08 2.7144318343308777e+08 2.7102995193995142e+08 2.7058777031025761e+08 2.7010851806881660e+08 2.6958585456078547e+08 2.6901207406007957e+08 2.6837849648219538e+08 2.6766917322072577e+08 2.6690289051728708e+08 2.6602608684416774e+08 2.6504314493253943e+08 2.6393981560727972e+08 2.6270076338834393e+08 2.6131017456212211e+08 2.5975218609592351e+08 2.5800590429401571e+08 2.5609040490988484e+08 2.5394864685427412e+08 2.5159800932918286e+08 2.4904392721410635e+08 2.4630642976107949e+08 2.4341959271767411e+08 2.4044827320673424e+08 2.3748590298534074e+08 2.3470590642040995e+08 2.3228554641484177e+08 2.3054532690798032e+08 2.2991586042850518e+08 2.3103327646609941e+08 2.3481317264464620e+08 2.4264364965129694e+08 2.5671996698175687e+08 2.8077016272570205e+08 3.7067605924458629e+08 +3.3294098032678066e+00 -1.3532307493649521e+08 -1.3529599707251638e+08 -1.3525221324415368e+08 -1.3519477631536272e+08 -1.3513609322448903e+08 -1.3509641645549783e+08 -1.3508503751664042e+08 -1.3508640806473660e+08 -1.3508424285257208e+08 -1.3507450933650813e+08 -1.3505820775583467e+08 -1.3503465612175280e+08 -1.3500233748729280e+08 -1.3495976478853846e+08 -1.3490540665309396e+08 -1.3483735613225722e+08 -1.3475332523051113e+08 -1.3465067416811845e+08 -1.3452629707948375e+08 -1.3437650097652054e+08 -1.3419691392888395e+08 -1.3398225147790496e+08 -1.3372501941493899e+08 -1.3341231097679378e+08 -1.3303081738247201e+08 -1.3257341442830470e+08 -1.3203073397122729e+08 -1.3138864505038589e+08 -1.3062971988586290e+08 -1.2973333251840812e+08 -1.2867519730972685e+08 -1.2742672951869465e+08 -1.2595429425290838e+08 -1.2421833053810723e+08 -1.2217235348586084e+08 -1.1976179900898395e+08 -1.1692275805815144e+08 -1.1358059962652636e+08 -1.0964857834794651e+08 -1.0502650709673288e+08 -9.9159851041491076e+07 -9.2202725799090937e+07 -8.3975410749901995e+07 -7.4283867744415149e+07 -6.2928444715281643e+07 -4.9718926904480323e+07 -3.4497577828141280e+07 -1.7170753381842252e+07 2.2527573751635426e+06 2.3620771931494270e+07 4.6596437353208050e+07 7.0684332487792000e+07 9.5259509442375034e+07 1.1955721440772159e+08 1.4283313248076326e+08 1.6444977737212142e+08 1.8394138560139859e+08 2.0105529267119107e+08 2.1573074157626706e+08 2.2809241787788710e+08 2.3833761811619309e+08 2.4674744500373861e+08 2.5357538540106824e+08 2.5910468190284035e+08 2.6354655484930336e+08 2.6708445245160592e+08 2.6989220166939551e+08 2.7207396454548120e+08 2.7371852424121767e+08 2.7491741242176640e+08 2.7570900209093142e+08 2.7617651997047681e+08 2.7636864519909871e+08 2.7635456094427407e+08 2.7618546228185636e+08 2.7589336329921448e+08 2.7554103245129681e+08 2.7516383376490766e+08 2.7475981898419470e+08 2.7445837290657461e+08 2.7414891576795715e+08 2.7383097168991059e+08 2.7349713392173320e+08 2.7315249681540090e+08 2.7278384181006670e+08 2.7242099544761956e+08 2.7200627979518652e+08 2.7156250969891095e+08 2.7108153542836356e+08 2.7055699348265707e+08 2.6998115037577689e+08 2.6934529475001132e+08 2.6863343824192947e+08 2.6786434692889526e+08 2.6698438906222174e+08 2.6599791057562840e+08 2.6489061095613435e+08 2.6364709947698084e+08 2.6225150545002639e+08 2.6068790869460073e+08 2.5893535729822019e+08 2.5701291122146651e+08 2.5486344203812703e+08 2.5250434086385500e+08 2.4994106215856934e+08 2.4719370731251848e+08 2.4429647481877589e+08 2.4131445544046611e+08 2.3834143319015741e+08 2.3555137956390503e+08 2.3312230456156605e+08 2.3137582006261274e+08 2.3074410504513788e+08 2.3186555032631841e+08 2.3565905910496962e+08 2.4351774035794997e+08 2.5764478498487744e+08 2.8178155344091523e+08 3.7042658865437496e+08 +3.3343781260420648e+00 -1.3410772388969177e+08 -1.3408080810642029e+08 -1.3403728902958563e+08 -1.3398018522083044e+08 -1.3392180422698070e+08 -1.3388225868847185e+08 -1.3387077909536698e+08 -1.3387192258690989e+08 -1.3386950615861440e+08 -1.3385951212025322e+08 -1.3384292186503565e+08 -1.3381904578816633e+08 -1.3378636250789978e+08 -1.3374337745298046e+08 -1.3368854951057479e+08 -1.3361996113681597e+08 -1.3353531128073293e+08 -1.3343194376808059e+08 -1.3330673331369011e+08 -1.3315596439227843e+08 -1.3297523877596338e+08 -1.3275924156753898e+08 -1.3250044206333338e+08 -1.3218587243105137e+08 -1.3180212530106507e+08 -1.3134201529390641e+08 -1.3079613985337034e+08 -1.3015030309427817e+08 -1.2938698890556808e+08 -1.2848546819947831e+08 -1.2742133784319034e+08 -1.2616588035661404e+08 -1.2468531206782961e+08 -1.2293990688963425e+08 -1.2088299888089843e+08 -1.1845982877382617e+08 -1.1560628164252724e+08 -1.1224751602313483e+08 -1.0829658097729087e+08 -1.0365310327084208e+08 -9.7760502498963892e+07 -9.0774295610194638e+07 -8.2514817145064682e+07 -7.2788301145865038e+07 -6.1395669266536534e+07 -4.8147673123637639e+07 -3.2888016304357834e+07 -1.5525010626513841e+07 3.9301222116645370e+06 2.5322442662666835e+07 4.8312333589306578e+07 7.2402047543871865e+07 9.6965230716016307e+07 1.2123699573522097e+08 1.4447426997048625e+08 1.6604206203506100e+08 1.8547782562485662e+08 2.0253230775419420e+08 2.1714783221694362e+08 2.2945154019285241e+08 2.3964241916354629e+08 2.4800259162360221e+08 2.5478599314708966e+08 2.6027595754449171e+08 2.6468352646698904e+08 2.6819184044948024e+08 2.7097436507979280e+08 2.7313487704713655e+08 2.7476174506077456e+08 2.7594613971729487e+08 2.7672606599828660e+08 2.7718439284416223e+08 2.7736945102863801e+08 2.7735007977745694e+08 2.7717707246750784e+08 2.7688207787000602e+08 2.7652753336150295e+08 2.7614852571683991e+08 2.7574289043000495e+08 2.7544032550211704e+08 2.7512974779597312e+08 2.7481066429472613e+08 2.7447563458064002e+08 2.7412976831284463e+08 2.7375981648438370e+08 2.7339562326165402e+08 2.7297942828973794e+08 2.7253407490648872e+08 2.7205138422087705e+08 2.7152496996110547e+08 2.7094707097144705e+08 2.7030894472248048e+08 2.6959456325068253e+08 2.6882267240036786e+08 2.6793957061812463e+08 2.6694956707974610e+08 2.6583831010099038e+08 2.6459035388939372e+08 2.6318977096663451e+08 2.6162058419156969e+08 2.5986178364932185e+08 2.5793241342993632e+08 2.5577525823581862e+08 2.5340772097985300e+08 2.5083527563847569e+08 2.4807809550495824e+08 2.4517050141907108e+08 2.4217781702261421e+08 2.3919417746052378e+08 2.3639409945782804e+08 2.3395633784458575e+08 2.3220360876067391e+08 2.3156965255693474e+08 2.3269511396642691e+08 2.3650219101054972e+08 2.4438898465897706e+08 2.5856659142284769e+08 2.8278965057424396e+08 3.7017516502839351e+08 +3.3393464488163231e+00 -1.3288890567744006e+08 -1.3286215222284193e+08 -1.3281889935055901e+08 -1.3276212751666293e+08 -1.3270404973065920e+08 -1.3266463567900656e+08 -1.3265305566502632e+08 -1.3265397222872223e+08 -1.3265130475743964e+08 -1.3264105044950011e+08 -1.3262417187481581e+08 -1.3259997181361888e+08 -1.3256692446219242e+08 -1.3252352776977435e+08 -1.3246823090681161e+08 -1.3239910576097795e+08 -1.3231383825977151e+08 -1.3220975587587568e+08 -1.3208371395163146e+08 -1.3193197448077872e+08 -1.3175011300499845e+08 -1.3153278427027602e+08 -1.3127242118928215e+08 -1.3095599505034235e+08 -1.3057000011710787e+08 -1.3010718996762550e+08 -1.2955812778111635e+08 -1.2890855297744249e+08 -1.2814086140796055e+08 -1.2723422121156342e+08 -1.2616411218922102e+08 -1.2490168463976017e+08 -1.2341300673823789e+08 -1.2165818804527725e+08 -1.1959038249117659e+08 -1.1715463675222525e+08 -1.1428663139410490e+08 -1.1091131615870708e+08 -1.0694153654967780e+08 -1.0227673565026167e+08 -9.6358298613766864e+07 -8.9343142373457000e+07 -8.1051661594590753e+07 -7.1290368102605969e+07 -5.9860763244088270e+07 -4.6574570859987684e+07 -3.1276939484504271e+07 -1.3878139510071039e+07 5.6081758733267859e+06 2.7024316653963946e+07 5.0027914664428510e+07 7.4118915604441807e+07 9.8669583593115240e+07 1.2291492284303626e+08 1.4611312469644979e+08 1.6763170713801694e+08 1.8701134657943812e+08 2.0400619854020181e+08 2.1856165846255836e+08 2.3080731063026062e+08 2.4094382066080454e+08 2.4925431910927463e+08 2.5599318094100091e+08 2.6144382384902301e+08 2.6581710577269503e+08 2.6929585612042731e+08 2.7205317671758395e+08 2.7419245759609181e+08 2.7580165230856615e+08 2.7697156988592279e+08 2.7773984730925423e+08 2.7818899563542831e+08 2.7836699743893629e+08 2.7834234811005175e+08 2.7816543966962755e+08 2.7786755598278302e+08 2.7751080354183769e+08 2.7712999213225543e+08 2.7672274136927700e+08 2.7641906119160372e+08 2.7610736656737286e+08 2.7578714737207526e+08 2.7545092962094128e+08 2.7510383822436386e+08 2.7473259385526115e+08 2.7436705810968238e+08 2.7394938867149252e+08 2.7350245719476521e+08 2.7301805572380781e+08 2.7248977529055858e+08 2.7190982715976739e+08 2.7126943773293960e+08 2.7055253960280281e+08 2.6977785831256372e+08 2.6889162292099154e+08 2.6789810588533583e+08 2.6678290451866463e+08 2.6553051814209872e+08 2.6412496267378631e+08 2.6255020419806626e+08 2.6078517501466972e+08 2.5884890326551050e+08 2.5668408724652568e+08 2.5430814155213735e+08 2.5172655961134216e+08 2.4895958638475820e+08 2.4604166465763912e+08 2.4303835018782452e+08 2.4004412812654266e+08 2.3723405852293178e+08 2.3478763876255447e+08 2.3302868555734271e+08 2.3239249553824908e+08 2.3352195992542797e+08 2.3734256077847233e+08 2.4525737471852303e+08 2.5948537800491932e+08 2.8379444505896783e+08 3.6992179805909473e+08 +3.3443147715905814e+00 -1.3166664737613598e+08 -1.3164005713431937e+08 -1.3159706951324548e+08 -1.3154063097705162e+08 -1.3148285683400002e+08 -1.3144357453274813e+08 -1.3143189430159064e+08 -1.3143258408049619e+08 -1.3142966574092808e+08 -1.3141915142202389e+08 -1.3140198489053109e+08 -1.3137746131036115e+08 -1.3134405047089142e+08 -1.3130024286994140e+08 -1.3124447798492201e+08 -1.3117481716150385e+08 -1.3108893334015201e+08 -1.3098413768257940e+08 -1.3085726620650330e+08 -1.3070455848068298e+08 -1.3052156388541715e+08 -1.3030290689121358e+08 -1.3004098414017551e+08 -1.2972270623237507e+08 -1.2933446928918970e+08 -1.2886896598122102e+08 -1.2831672537224396e+08 -1.2766342241890152e+08 -1.2689136523004277e+08 -1.2597961952977064e+08 -1.2490354848427548e+08 -1.2363417069223563e+08 -1.2213740680617817e+08 -1.2037320279923578e+08 -1.1829453340181257e+08 -1.1584625236329597e+08 -1.1296383711422801e+08 -1.0957203026889822e+08 -1.0558347579062915e+08 -1.0089743550861722e+08 -9.4953271313032672e+07 -8.7909298732052073e+07 -7.9585977509121284e+07 -6.9790102823198825e+07 -5.8323761651268363e+07 -4.4999655858066380e+07 -2.9664383732286252e+07 -1.2230176806334244e+07 7.2868814851659238e+06 2.8726357338905718e+07 5.1743144811870292e+07 7.5834902233795688e+07 1.0037253547814776e+08 1.2459096539395334e+08 1.4774966885262266e+08 1.6921868750481883e+08 1.8854192585343927e+08 2.0547694478754270e+08 2.1997220216875741e+08 2.3215971284011853e+08 2.4224180775737429e+08 2.5050261384198096e+08 2.5719693616797107e+08 2.6260826901460636e+08 2.6694728162176511e+08 2.7039648885139912e+08 2.7312862639845157e+08 2.7524669635307020e+08 2.7683823642075443e+08 2.7799369358196026e+08 2.7875033684801078e+08 2.7919031929789174e+08 2.7936127548014325e+08 2.7933135706124806e+08 2.7915055505609465e+08 2.7884978883881098e+08 2.7849083421721786e+08 2.7810822425481617e+08 2.7769936305983007e+08 2.7739457124337596e+08 2.7708176336011261e+08 2.7676041221074194e+08 2.7642301034136039e+08 2.7607469785978258e+08 2.7570216524395519e+08 2.7533529132498622e+08 2.7491615228662646e+08 2.7446764792416966e+08 2.7398154131312716e+08 2.7345140086319858e+08 2.7286941035128289e+08 2.7222676521187973e+08 2.7150735875150871e+08 2.7072989614404428e+08 2.6984053747718030e+08 2.6884351853037614e+08 2.6772438578168434e+08 2.6646758384731704e+08 2.6505707222790405e+08 2.6347676042058209e+08 2.6170552315637761e+08 2.5976237255161899e+08 2.5758992096234822e+08 2.5520559454781130e+08 2.5261490612537226e+08 2.4983817208755764e+08 2.4690995676235402e+08 2.4389604725907797e+08 2.4089127760578418e+08 2.3807124926533175e+08 2.3561619989890823e+08 2.3385104309152260e+08 2.3321262664862180e+08 2.3434608082621220e+08 2.3818016091146192e+08 2.4612290278927302e+08 2.6040113653380656e+08 2.8479592793093216e+08 3.6966649743222141e+08 +3.3492830943648397e+00 -1.3044097620634426e+08 -1.3041454915150720e+08 -1.3037182799554631e+08 -1.3031572213610645e+08 -1.3025825266714783e+08 -1.3021910239036985e+08 -1.3020732212579094e+08 -1.3020778526702780e+08 -1.3020461623487711e+08 -1.3019384217140067e+08 -1.3017638805253203e+08 -1.3015154142615852e+08 -1.3011776768994761e+08 -1.3007354991972920e+08 -1.3001731792292258e+08 -1.2994712253001820e+08 -1.2986062372942571e+08 -1.2975511641431601e+08 -1.2962741732627183e+08 -1.2947374366590029e+08 -1.2928961872099955e+08 -1.2906963676974356e+08 -1.2880615829726975e+08 -1.2848603340847382e+08 -1.2809556030907859e+08 -1.2762737089884393e+08 -1.2707196027701715e+08 -1.2641493916912501e+08 -1.2563852824001180e+08 -1.2472169115992992e+08 -1.2363967489440383e+08 -1.2236336686644968e+08 -1.2085854084057650e+08 -1.1908497997080562e+08 -1.1699548072109497e+08 -1.1453470504755895e+08 -1.1163792862263131e+08 -1.0822968860466066e+08 -1.0422242943747048e+08 -9.9515234126912341e+07 -9.3545452525592074e+07 -8.6472797323973119e+07 -7.8117798286233455e+07 -6.8287539493614078e+07 -5.6784699457477175e+07 -4.3422963815813184e+07 -2.8050385350129817e+07 -1.0581159211692313e+07 8.9662022668198645e+06 3.0428528263095129e+07 5.3457988393738672e+07 7.7549973139566973e+07 1.0207405393050574e+08 1.2626509321370451e+08 1.4938387479928973e+08 1.7080297812544134e+08 1.9006954099728787e+08 2.0694452641045639e+08 2.2137944533986825e+08 2.3350873061466172e+08 2.4353636573763752e+08 2.5174746233300310e+08 2.5839724633643046e+08 2.6376928135808009e+08 2.6807404298518750e+08 2.7149372814123517e+08 2.7420070404747379e+08 2.7629758358581787e+08 2.7787148793921137e+08 2.7901250156409067e+08 2.7975752554166460e+08 2.8018835488738430e+08 2.8035227630363309e+08 2.8031709785111552e+08 2.8013240989549011e+08 2.7982876773980272e+08 2.7946761671293110e+08 2.7908321342668140e+08 2.7867274685969311e+08 2.7836684702513152e+08 2.7805292955244714e+08 2.7773045019829935e+08 2.7739186814063317e+08 2.7704233862816292e+08 2.7666852207082671e+08 2.7630031433992273e+08 2.7587971058051205e+08 2.7542963855414045e+08 2.7494183246278965e+08 2.7440983816993558e+08 2.7382581205536902e+08 2.7318091868846542e+08 2.7245901224779391e+08 2.7167877747014344e+08 2.7078630588990766e+08 2.6978579664914989e+08 2.6866274555925870e+08 2.6740154271307343e+08 2.6598609138089758e+08 2.6440024466031528e+08 2.6262281993035913e+08 2.6067281320531178e+08 2.5849275136764473e+08 2.5610007202548474e+08 2.5350030732007590e+08 2.5071384483863243e+08 2.4777537004969925e+08 2.4475090064674258e+08 2.4173561840150213e+08 2.3890566427705750e+08 2.3644201392226911e+08 2.3467067408644989e+08 2.3403003863064894e+08 2.3516746937673095e+08 2.3901498399778911e+08 2.4698556121226099e+08 2.6131385890673506e+08 2.8579409032838792e+08 3.6940927282660341e+08 +3.3542514171390980e+00 -1.2921191944665679e+08 -1.2918565567630157e+08 -1.2914320086995581e+08 -1.2908742902071680e+08 -1.2903026426562877e+08 -1.2899124642724960e+08 -1.2897936630018345e+08 -1.2897960294628821e+08 -1.2897618339940697e+08 -1.2896514986654939e+08 -1.2894740853529128e+08 -1.2892223934254651e+08 -1.2888810330937845e+08 -1.2884347611952607e+08 -1.2878677793246658e+08 -1.2871604909189090e+08 -1.2862893666893892e+08 -1.2852271933091231e+08 -1.2839419459243572e+08 -1.2823955734344110e+08 -1.2805430484886655e+08 -1.2783300127852352e+08 -1.2756797107489680e+08 -1.2724600404259171e+08 -1.2685330070114625e+08 -1.2638243231736746e+08 -1.2582386017701773e+08 -1.2516313100980790e+08 -1.2438237833647949e+08 -1.2346046413697071e+08 -1.2237251961390102e+08 -1.2108930154210696e+08 -1.1957643743613186e+08 -1.1779354840403384e+08 -1.1569325358004764e+08 -1.1322002426555099e+08 -1.1030893575686644e+08 -1.0688432143153945e+08 -1.0285842823827425e+08 -9.8130162792204663e+07 -9.2134874180820405e+07 -8.5033670781189382e+07 -7.6647157309018329e+07 -6.6782712275887422e+07 -5.5243611597224370e+07 -4.1844530383154832e+07 -2.6434980578091964e+07 -8.9311233441158477e+06 1.0646101533448573e+07 3.2130793084985107e+07 5.5172409901607893e+07 7.9264094173541874e+07 1.0377410666504847e+08 1.2793727629076543e+08 1.5101571506253242e+08 1.7238455415516445e+08 1.9159416972306660e+08 2.0840892347916943e+08 2.2278337012982380e+08 2.3485434788848087e+08 2.4482748002200034e+08 2.5298885122191882e+08 2.5959409907915109e+08 2.6492684931605685e+08 2.6919737894914258e+08 2.7258756360114694e+08 2.7526939969955468e+08 2.7734510966977799e+08 2.7890139751159000e+08 2.8002798469499147e+08 2.8076140442029899e+08 2.8118309356205851e+08 2.8133999116224301e+08 2.8129956180065870e+08 2.8111099555647987e+08 2.8080448408739156e+08 2.8044114245368224e+08 2.8005495109082943e+08 2.7964288422620845e+08 2.7933588000447416e+08 2.7902085662122214e+08 2.7869725282209772e+08 2.7835749451562619e+08 2.7800675203742546e+08 2.7763165585520673e+08 2.7726211868561232e+08 2.7684005509737682e+08 2.7638842064236617e+08 2.7589892074577361e+08 2.7536507879969555e+08 2.7477902387800759e+08 2.7413188978919089e+08 2.7340749173994994e+08 2.7262449396407199e+08 2.7172891985935456e+08 2.7072493197223270e+08 2.6959797561647713e+08 2.6833238654323658e+08 2.6691201197995937e+08 2.6532064881286374e+08 2.6353705728643033e+08 2.6158021723668927e+08 2.5939257053929198e+08 2.5699156613525614e+08 2.5438275542543164e+08 2.5158659695386216e+08 2.4863789692526281e+08 2.4560290284865299e+08 2.4257714310416746e+08 2.3973729623565564e+08 2.3726507358504030e+08 2.3548757134932533e+08 2.3484472431080046e+08 2.3598611836835515e+08 2.3984702271074104e+08 2.4784534241719711e+08 2.6222353711278713e+08 2.8678892349194545e+08 3.6915013391396213e+08 +3.3592197399133563e+00 -1.2797950467794360e+08 -1.2795340387164201e+08 -1.2791121495536286e+08 -1.2785577842236444e+08 -1.2779891869692737e+08 -1.2776003385475394e+08 -1.2774805402085851e+08 -1.2774806430801246e+08 -1.2774439442750058e+08 -1.2773310170978606e+08 -1.2771507354665060e+08 -1.2768958227432093e+08 -1.2765508455245471e+08 -1.2761004870251954e+08 -1.2755288525872742e+08 -1.2748162410578595e+08 -1.2739389943284088e+08 -1.2728697372503668e+08 -1.2715762531938301e+08 -1.2700202685294627e+08 -1.2681564963872445e+08 -1.2659302782217304e+08 -1.2632644991907084e+08 -1.2600264563048303e+08 -1.2560771802092309e+08 -1.2513417786392166e+08 -1.2457245278432016e+08 -1.2390802575223708e+08 -1.2312294344689219e+08 -1.2219596652421774e+08 -1.2110211086439599e+08 -1.1981200312521219e+08 -1.1829112521259683e+08 -1.1649893696584252e+08 -1.1438788113092399e+08 -1.1190223949708433e+08 -1.0897688837077616e+08 -1.0553595902817102e+08 -1.0149150295047064e+08 -9.6742252796910286e+07 -9.0721568207368478e+07 -8.3591951728260726e+07 -7.5174087945347935e+07 -6.5275655307326496e+07 -5.3700532969055742e+07 -4.0264391161386058e+07 -2.4818205592858925e+07 -7.2801057422153763e+06 1.2326542696576299e+07 3.3833115576704688e+07 5.6886373957118511e+07 8.0977231332038671e+07 1.0547266155248220e+08 1.2960748477687432e+08 1.5264516233509368e+08 1.7396339091469428e+08 1.9311578990440583e+08 2.0987011621990377e+08 2.2418395884112704e+08 2.3619654873766556e+08 2.4611513616543812e+08 2.5422676727796066e+08 2.6078748215194306e+08 2.6608096144329613e+08 2.7031727871516842e+08 2.7367798495420587e+08 2.7633470349872071e+08 2.7838926508714908e+08 2.7992795589012110e+08 2.8104013394117969e+08 2.8176196461693448e+08 2.8217452658166867e+08 2.8232441140995008e+08 2.8227874033163488e+08 2.8208630350821900e+08 2.8177692938348722e+08 2.8141140296481973e+08 2.8102342878947538e+08 2.8060976671658844e+08 2.8030166174774963e+08 2.7998553614267087e+08 2.7966081166819257e+08 2.7931988106317639e+08 2.7896792969476461e+08 2.7859155821524149e+08 2.7822069599194598e+08 2.7779717747941321e+08 2.7734398584490573e+08 2.7685279783287543e+08 2.7631711443933898e+08 2.7572903752430952e+08 2.7507967023760349e+08 2.7435278897375840e+08 2.7356703739528757e+08 2.7266837118213177e+08 2.7166091632655883e+08 2.7053006781446552e+08 2.6926010723669368e+08 2.6783482596708456e+08 2.6623796486805350e+08 2.6444822726820874e+08 2.6248457674886796e+08 2.6028937064683673e+08 2.5788006911903793e+08 2.5526224276133919e+08 2.5245642083712825e+08 2.4949752988253173e+08 2.4645204645018026e+08 2.4341584439005318e+08 2.4056613790362656e+08 2.3808537172498563e+08 2.3630172777094582e+08 2.3565667659927258e+08 2.3680202067672598e+08 2.4067626980986392e+08 2.4870223892117336e+08 2.6313016323611212e+08 2.8778041876401496e+08 3.6888909035871238e+08 +3.3641880626876146e+00 -1.2674375851202351e+08 -1.2671782015582609e+08 -1.2667589982121690e+08 -1.2662079740954542e+08 -1.2656424342133519e+08 -1.2652549190536341e+08 -1.2651341250994682e+08 -1.2651319657288283e+08 -1.2650927654540718e+08 -1.2649772493600672e+08 -1.2647941032649226e+08 -1.2645359746790241e+08 -1.2641873867451437e+08 -1.2637329493427159e+08 -1.2631566717872603e+08 -1.2624387486213571e+08 -1.2615553932745305e+08 -1.2604790692116322e+08 -1.2591773685297152e+08 -1.2576117956553376e+08 -1.2557368049143566e+08 -1.2534974383669385e+08 -1.2508162230714203e+08 -1.2475598569828244e+08 -1.2435883985425876e+08 -1.2388263519593483e+08 -1.2331776584051535e+08 -1.2264965123669949e+08 -1.2186025152712046e+08 -1.2092822641253583e+08 -1.1982847689401996e+08 -1.1853150004670069e+08 -1.1700263281364830e+08 -1.1520117454564279e+08 -1.1307939254648660e+08 -1.1058138024007954e+08 -1.0764181633368452e+08 -1.0418463168551172e+08 -1.0012168434020033e+08 -9.5351535437385127e+07 -8.9305566532511055e+07 -8.2147672781188458e+07 -7.3698623546512380e+07 -6.3766402699215338e+07 -5.2155498434348874e+07 -3.8682581701745197e+07 -2.3200096506738316e+07 -5.6281428642864274e+06 1.4007489264979754e+07 3.5535459624761306e+07 5.8599845312684245e+07 8.2689350756301180e+07 1.0716968661982985e+08 1.3127568898711520e+08 1.5427218947586036e+08 1.7553946389015609e+08 1.9463437957654646e+08 2.1132808501407939e+08 2.2558119392530015e+08 2.3753531737990749e+08 2.4739931985750857e+08 2.5546119739853692e+08 2.6197738343442601e+08 2.6723160641471240e+08 2.7143373159910065e+08 2.7476498203540897e+08 2.7739660569804388e+08 2.7943004042718124e+08 2.8095115393267328e+08 2.8204894037281579e+08 2.8275919736696219e+08 2.8316264530750769e+08 2.8330552850169981e+08 2.8325462496629703e+08 2.8305832532005018e+08 2.8274609522969824e+08 2.8237838987042540e+08 2.8198863816435570e+08 2.8157338598675591e+08 2.8126418392116630e+08 2.8094695979260200e+08 2.8062111842144322e+08 2.8027901947810680e+08 2.7992586330571651e+08 2.7954822086735314e+08 2.7917603798685557e+08 2.7875106946765941e+08 2.7829632591583669e+08 2.7780345549253255e+08 2.7726593687335706e+08 2.7667584479579633e+08 2.7602425185541588e+08 2.7529489579148746e+08 2.7450639963030332e+08 2.7360465175174427e+08 2.7259374163544148e+08 2.7145901410960150e+08 2.7018469678811204e+08 2.6875452537875736e+08 2.6715218491020614e+08 2.6535632201273963e+08 2.6338588393813363e+08 2.6118314395131341e+08 2.5876557330937433e+08 2.5613876173880920e+08 2.5332330898311844e+08 2.5035426150351781e+08 2.4729832412372661e+08 2.4425171502155024e+08 2.4139218212835699e+08 2.3890290126308924e+08 2.3711313632553995e+08 2.3646588848908371e+08 2.3761516926083916e+08 2.4150271813886619e+08 2.4955624333024767e+08 2.6403372945239782e+08 2.8876856758830196e+08 3.6862615181776851e+08 +3.3691563854618729e+00 -1.2550470809640841e+08 -1.2547893459967624e+08 -1.2543728037111776e+08 -1.2538251376865767e+08 -1.2532626584282312e+08 -1.2528764782503803e+08 -1.2527546901446666e+08 -1.2527502699166550e+08 -1.2527085701171970e+08 -1.2525904681129223e+08 -1.2524044614595684e+08 -1.2521431220149308e+08 -1.2517909296210416e+08 -1.2513324211132407e+08 -1.2507515100039966e+08 -1.2500282868239452e+08 -1.2491388368982677e+08 -1.2480554627446239e+08 -1.2467455656977455e+08 -1.2451704288315143e+08 -1.2432842483837315e+08 -1.2410317678811409e+08 -1.2383351574598315e+08 -1.2350605180226256e+08 -1.2310669381641077e+08 -1.2262783199957824e+08 -1.2205982711533885e+08 -1.2138803533116013e+08 -1.2059433055995476e+08 -1.1965727191889293e+08 -1.1855164597615442e+08 -1.1724782076211002e+08 -1.1571098890567817e+08 -1.1390029005391558e+08 -1.1176781701847354e+08 -1.0925747600949514e+08 -1.0630374952933604e+08 -1.0283036970574445e+08 -9.8749003180832356e+07 -9.3958042012882784e+07 -8.7886901080761194e+07 -8.0700866546767607e+07 -7.2220797446388349e+07 -6.2254988535684705e+07 -5.0608542816362895e+07 -3.7099137504670992e+07 -2.1580689366700713e+07 -3.9752710873881164e+06 1.5688904845530018e+07 3.7237789230816945e+07 6.0312788851956330e+07 8.4400418733241513e+07 1.0886515005031879e+08 1.3294185940016954e+08 1.5589676951016295e+08 1.7711274873345527e+08 1.9614991693621022e+08 2.1278281039905024e+08 2.2697505798205057e+08 2.3887063817427957e+08 2.4868001692279238e+08 2.5669212860978091e+08 2.6316379092875156e+08 2.6837877302212504e+08 2.7254672703190392e+08 2.7584854479031003e+08 2.7845509665893734e+08 2.8046742638530284e+08 2.8197098260204065e+08 2.8305439516325718e+08 2.8375309400771260e+08 2.8414744120241672e+08 2.8428333399333733e+08 2.8422720732675892e+08 2.8402705266121423e+08 2.8371197332746792e+08 2.8334209489419240e+08 2.8295057095609140e+08 2.8253373379165536e+08 2.8222343828913546e+08 2.8190511934493971e+08 2.8157816486585468e+08 2.8123490155449933e+08 2.8088054467435104e+08 2.8050163562644428e+08 2.8012813649687737e+08 2.7970172290052211e+08 2.7924543270696145e+08 2.7875088559118503e+08 2.7821153798358971e+08 2.7761943759196758e+08 2.7696562656060678e+08 2.7623380413270813e+08 2.7544257263234431e+08 2.7453775355699009e+08 2.7352339991770440e+08 2.7238480655397969e+08 2.7110614728667551e+08 2.6967110234635776e+08 2.6806330111713433e+08 2.6626133375045353e+08 2.6428413109291914e+08 2.6207388280561396e+08 2.5964807113012722e+08 2.5701230485828185e+08 2.5418725397442800e+08 2.5120808445803314e+08 2.4814172862857544e+08 2.4508474784678414e+08 2.4221542184267828e+08 2.3971765520468503e+08 2.3792179007090613e+08 2.3727235305685249e+08 2.3842555716374284e+08 2.4232636062689653e+08 2.5040734833710879e+08 2.6493422803107151e+08 2.8975336151090580e+08 3.6836132794034910e+08 +3.3741247082361312e+00 -1.2426238161153860e+08 -1.2423677139297070e+08 -1.2419538535093780e+08 -1.2414095414906275e+08 -1.2408501310141239e+08 -1.2404652887946129e+08 -1.2403425081097299e+08 -1.2403358284534045e+08 -1.2402916311614920e+08 -1.2401709463162301e+08 -1.2399820830620533e+08 -1.2397175378286284e+08 -1.2393617473173815e+08 -1.2388991756023715e+08 -1.2383136406183930e+08 -1.2375851291783068e+08 -1.2366895988681737e+08 -1.2355991916998298e+08 -1.2342811187606078e+08 -1.2326964423672126e+08 -1.2307991014017786e+08 -1.2285335417175697e+08 -1.2258215777173504e+08 -1.2225287152673477e+08 -1.2185130755095533e+08 -1.2136979598890308e+08 -1.2079866440616165e+08 -1.2012320593052839e+08 -1.1932520855433615e+08 -1.1838313118550491e+08 -1.1727164640851632e+08 -1.1596099374979712e+08 -1.1441622217687467e+08 -1.1259631242149058e+08 -1.1045318375740935e+08 -1.0793055633621648e+08 -1.0496271785467567e+08 -1.0147320340114991e+08 -9.7373490252400339e+07 -9.2561803824751154e+07 -8.6465603772710562e+07 -7.9251565621046528e+07 -7.0740642960181877e+07 -6.0741446872954570e+07 -4.9059700899226569e+07 -3.5514094018572755e+07 -1.9960020153340567e+07 -2.3215267063865545e+06 1.7370753144031007e+07 3.8940068512364507e+07 6.2025169590703040e+07 8.6110401695522130e+07 1.1055902018417861e+08 1.3460596665823597e+08 1.5751887562952298e+08 1.7868322126111946e+08 1.9766238034110001e+08 2.1423427306700146e+08 2.2836553375917825e+08 2.4020249562081763e+08 2.4995721331983232e+08 2.5791954806536210e+08 2.6434669276027438e+08 2.6952245017655647e+08 2.7365625455878466e+08 2.7692866327667791e+08 2.7951016685198563e+08 2.8150141376375270e+08 2.8298743296496814e+08 2.8405648958923286e+08 2.8474364597912478e+08 2.8512890583031648e+08 2.8525781954066294e+08 2.8519647913537723e+08 2.8499247729995149e+08 2.8467455547684902e+08 2.8430250985918647e+08 2.8390921900464374e+08 2.8349080198550099e+08 2.8317941671496934e+08 2.8286000667221320e+08 2.8253194288323194e+08 2.8218751918403798e+08 2.8183196570267504e+08 2.8145179440517908e+08 2.8107698344590825e+08 2.8064912971429360e+08 2.8019129816780537e+08 2.7969508009232467e+08 2.7915390974940771e+08 2.7855980790899533e+08 2.7790378636822075e+08 2.7716950603294301e+08 2.7637554846044606e+08 2.7546766868376315e+08 2.7444988328763628e+08 2.7330743729506153e+08 2.7202445091656452e+08 2.7058454909508228e+08 2.6897130576073140e+08 2.6716325480458486e+08 2.6517931059397838e+08 2.6296157965439391e+08 2.6052755509570661e+08 2.5788286471022585e+08 2.5504824848331743e+08 2.5205899150379300e+08 2.4898225281071448e+08 2.4591493580018452e+08 2.4303585006371537e+08 2.4052962663916504e+08 2.3872768214777341e+08 2.3807606346214116e+08 2.3923317751112407e+08 2.4314719028742355e+08 2.5125554672270751e+08 2.6583165133394724e+08 2.9073479217842191e+08 3.6809462836778617e+08 +3.3790930310103895e+00 -1.2301680509278378e+08 -1.2299135975594941e+08 -1.2295024157872692e+08 -1.2289614559075302e+08 -1.2284051223210105e+08 -1.2280216234247053e+08 -1.2278978521091808e+08 -1.2278889144426648e+08 -1.2278422217852212e+08 -1.2277189572180460e+08 -1.2275272413777970e+08 -1.2272594954924501e+08 -1.2269001132943626e+08 -1.2264334863676465e+08 -1.2258433373023508e+08 -1.2251095494896466e+08 -1.2242079531433807e+08 -1.2231105302152672e+08 -1.2217843020694548e+08 -1.2201901108635089e+08 -1.2182816388594621e+08 -1.2160030351089849e+08 -1.2132757594832346e+08 -1.2099647248418050e+08 -1.2059270872847146e+08 -1.2010855490486576e+08 -1.1953430553670007e+08 -1.1885519095534909e+08 -1.1805291354443024e+08 -1.1710583237898478e+08 -1.1598850651216567e+08 -1.1467104751046553e+08 -1.1311836133612092e+08 -1.1128927059823720e+08 -1.0913552199064773e+08 -1.0660065076612140e+08 -1.0361875121912479e+08 -1.0011316309317933e+08 -9.5995176339978278e+07 -9.1162852175153196e+07 -8.5041706524295390e+07 -7.7799802588474870e+07 -6.9258193383433431e+07 -5.9225811737886496e+07 -4.7509007426694766e+07 -3.3927486638894282e+07 -1.8338124779908422e+07 -6.6694593306178949e+05 1.9052997966084227e+07 4.0642261703667521e+07 6.3736952677140154e+07 8.7819266222396702e+07 1.1225126551866131e+08 1.3626798156732136e+08 1.5913848119219005e+08 1.8025085745568463e+08 1.9917174831040138e+08 2.1568245386513668e+08 2.2975260415298432e+08 2.4153087436049607e+08 2.5123089514095861e+08 2.5914344304755482e+08 2.6552607717670956e+08 2.7066262690659106e+08 2.7476230383895594e+08 2.7800532766222227e+08 2.8056180685574430e+08 2.8253199347076976e+08 2.8400049619281560e+08 2.8505521503058934e+08 2.8573084482266641e+08 2.8610703085643911e+08 2.8622897690029454e+08 2.8616243221431887e+08 2.8595459110464483e+08 2.8563383357761705e+08 2.8525962668688124e+08 2.8486457424825561e+08 2.8444458252051646e+08 2.8413211116053516e+08 2.8381161374580544e+08 2.8348244445436507e+08 2.8313686435698932e+08 2.8278011839095360e+08 2.8239868921427041e+08 2.8202257085593390e+08 2.8159328194315755e+08 2.8113391434549755e+08 2.8063603105708671e+08 2.8009304424705607e+08 2.7949694784000301e+08 2.7883872338990283e+08 2.7810199362494630e+08 2.7730531926996988e+08 2.7639438931259125e+08 2.7537318395537192e+08 2.7422689857499141e+08 2.7293959995632857e+08 2.7149485794455677e+08 2.6987619120608127e+08 2.6806207759168950e+08 2.6607141491454956e+08 2.6384622703388587e+08 2.6140401781147811e+08 2.5875043397475219e+08 2.5590628526964739e+08 2.5290697548617509e+08 2.4981988960298589e+08 2.4674227190092152e+08 2.4385345989309323e+08 2.4133880873911127e+08 2.3953080578022584e+08 2.3887701294684628e+08 2.4003802351254743e+08 2.4396520021896011e+08 2.5210083135540998e+08 2.6672599181496713e+08 2.9171285133910543e+08 3.6782606273333389e+08 +3.3840613537846478e+00 -1.2176800704686794e+08 -1.2174272612467647e+08 -1.2170187605905005e+08 -1.2164811639904292e+08 -1.2159279051231791e+08 -1.2155457549906808e+08 -1.2154209955942193e+08 -1.2154098012825501e+08 -1.2153606154723454e+08 -1.2152347743405156e+08 -1.2150402099952525e+08 -1.2147692686596158e+08 -1.2144063012920383e+08 -1.2139356272468799e+08 -1.2133408740066132e+08 -1.2126018218403715e+08 -1.2116941739610858e+08 -1.2105897527083814e+08 -1.2092553902498637e+08 -1.2076517091926590e+08 -1.2057321359205905e+08 -1.2034405235634156e+08 -1.2006979786657318e+08 -1.1973688231348616e+08 -1.1933092504629901e+08 -1.1884413651435913e+08 -1.1826677835592909e+08 -1.1758401835110094e+08 -1.1677747358843754e+08 -1.1582540368924986e+08 -1.1470225463037716e+08 -1.1337801056586218e+08 -1.1181743511228128e+08 -1.0997919355226544e+08 -1.0781486096181108e+08 -1.0526778885905261e+08 -1.0227187954304682e+08 -9.8750279111293390e+07 -9.4614092232985437e+07 -8.9761218365936518e+07 -8.3615241245432496e+07 -7.6345610020846188e+07 -6.7773481990749747e+07 -5.7708117127142102e+07 -4.5956497101317741e+07 -3.2339350707095109e+07 -1.6715039091359356e+07 9.8843510481635423e+05 2.0735603217896435e+07 4.2344333156070516e+07 6.5448103392652668e+07 8.9526979039948314e+07 1.1394185470833701e+08 1.3792787509770072e+08 1.6075555972280955e+08 1.8181563346413124e+08 2.0067799952386466e+08 2.1712733379587054e+08 2.3113625220687217e+08 2.4285575917470089e+08 2.5250104861287391e+08 2.6036380096597150e+08 2.6670193254787669e+08 2.7179929235852367e+08 2.7586486464554983e+08 2.7907852822630203e+08 2.8161000735634840e+08 2.8355915651998478e+08 2.8501016356176108e+08 2.8605056296937919e+08 2.8671468218117827e+08 2.8708180804601455e+08 2.8719679792859656e+08 2.8712505848512131e+08 2.8691338604215461e+08 2.8658979962850505e+08 2.8621343739778411e+08 2.8581662872412914e+08 2.8539506744762897e+08 2.8508151368576872e+08 2.8475993263432109e+08 2.8442966165724957e+08 2.8408292916144800e+08 2.8372499483711022e+08 2.8334231216223371e+08 2.8296489084626859e+08 2.8253417171834993e+08 2.8207327338392788e+08 2.8157373064361101e+08 2.8102893364973497e+08 2.8043084957440645e+08 2.7977042983390462e+08 2.7903125913674158e+08 2.7823187731207192e+08 2.7731790772035962e+08 2.7629329422587568e+08 2.7514318273085499e+08 2.7385158677892286e+08 2.7240202130792218e+08 2.7077794991153777e+08 2.6895779462067020e+08 2.6696043662010702e+08 2.6472781757111377e+08 2.6227745197264272e+08 2.5961500542137656e+08 2.5676135718296254e+08 2.5375202933782634e+08 2.5065463202414197e+08 2.4756674925371245e+08 2.4466824451683566e+08 2.4214519476065490e+08 2.4033115427477905e+08 2.3967519483585587e+08 2.4084008846025515e+08 2.4478038360366347e+08 2.5294319519019932e+08 2.6761724202051347e+08 2.9268753084180498e+08 3.6755564066197991e+08 +3.3890296765589061e+00 -1.2051601485655536e+08 -1.2049089822497809e+08 -1.2045031598697911e+08 -1.2039689353793144e+08 -1.2034187547016776e+08 -1.2030379568623911e+08 -1.2029122122735551e+08 -1.2028987626558480e+08 -1.2028470859825897e+08 -1.2027186714733274e+08 -1.2025212627721944e+08 -1.2022471312549946e+08 -1.2018805853231359e+08 -1.2014058723503622e+08 -1.2008065249551125e+08 -1.2000622205844593e+08 -1.1991485358288236e+08 -1.1980371338626522e+08 -1.1966946581950980e+08 -1.1950815124944080e+08 -1.1931508680141598e+08 -1.1908462828477241e+08 -1.1880885114345267e+08 -1.1847412867921275e+08 -1.1806598422685358e+08 -1.1757656860908897e+08 -1.1699611073730192e+08 -1.1630971608701675e+08 -1.1549891676750334e+08 -1.1454187332830322e+08 -1.1341291912771678e+08 -1.1208191145786728e+08 -1.1051347225279173e+08 -1.0866611026865940e+08 -1.0649122992992431e+08 -1.0393200018780982e+08 -1.0092213275725412e+08 -9.7384581791884720e+07 -9.3230268724103048e+07 -8.8356933697685137e+07 -8.2186239839176983e+07 -7.4889020476137042e+07 -6.6286542035271995e+07 -5.6188397006201662e+07 -4.4402204583291985e+07 -3.0749721509593993e+07 -1.5090798863358898e+07 2.6445803643900496e+06 2.2418532907104496e+07 4.4046247339249194e+07 6.7158587152385101e+07 9.1233507021487176e+07 1.1563075656569648e+08 1.3958561838352096e+08 1.6237008491219309e+08 1.8337752559915897e+08 2.0218111282224596e+08 2.1856889401575828e+08 2.3251646111234373e+08 2.4417713498507956e+08 2.5376766009523049e+08 2.6158060935729814e+08 2.6787424736568391e+08 2.7293243579637516e+08 2.7696392686519003e+08 2.8014825535781866e+08 2.8265475914843929e+08 2.8458289403165376e+08 2.8601642645069814e+08 2.8704252499060595e+08 2.8769514979930574e+08 2.8805322926539683e+08 2.8816127458197057e+08 2.8808434996860331e+08 2.8786885417903435e+08 2.8754244572623163e+08 2.8716393411095357e+08 2.8676537456731069e+08 2.8634224891561097e+08 2.8602761644894737e+08 2.8570495550537097e+08 2.8537358666819453e+08 2.8502570578270477e+08 2.8466658723645937e+08 2.8428265545473325e+08 2.8390393563367045e+08 2.8347179126827943e+08 2.8300936752425861e+08 2.8250817110613203e+08 2.8196157022685272e+08 2.8136150539877737e+08 2.8069889800419015e+08 2.7995729489292210e+08 2.7915521493390059e+08 2.7823821627909476e+08 2.7721020649935973e+08 2.7605628219425988e+08 2.7476040385143483e+08 2.7330603169256401e+08 2.7167657442914313e+08 2.6985039849266207e+08 2.6784636836701432e+08 2.6560634398452559e+08 2.6314785036475760e+08 2.6047657190895310e+08 2.5761345716051975e+08 2.5459414607868928e+08 2.5148647317944074e+08 2.4838836104868796e+08 2.4548019720481625e+08 2.4294877804327822e+08 2.4112872102095956e+08 2.4047060253607672e+08 2.4163936572917643e+08 2.4559273370867518e+08 2.5378263126910931e+08 2.6850539458878624e+08 2.9365882263577437e+08 3.6728337177025723e+08 +3.3939979993331644e+00 -1.1926085536677809e+08 -1.1923590313312581e+08 -1.1919558956564082e+08 -1.1914250437877908e+08 -1.1908779452241944e+08 -1.1904985031462586e+08 -1.1903717760192619e+08 -1.1903560725162886e+08 -1.1903019073310360e+08 -1.1901709226638658e+08 -1.1899706738319059e+08 -1.1896933574659631e+08 -1.1893232396626933e+08 -1.1888444960497184e+08 -1.1882405646296671e+08 -1.1874910203348309e+08 -1.1865713135104938e+08 -1.1854529486218415e+08 -1.1841023810567488e+08 -1.1824797961624719e+08 -1.1805381108214016e+08 -1.1782205889817739e+08 -1.1754476342058592e+08 -1.1720823927069834e+08 -1.1679791401665568e+08 -1.1630587900459270e+08 -1.1572233057774010e+08 -1.1503231215503842e+08 -1.1421727118503578e+08 -1.1325526952952506e+08 -1.1212052838904484e+08 -1.1078277874750450e+08 -1.0920650152285807e+08 -1.0735004974861555e+08 -1.0516465816787598e+08 -1.0259331433692291e+08 -9.9569540801648065e+07 -9.6016101477333724e+07 -9.1843736608132467e+07 -8.6950029468933210e+07 -8.0754734200346351e+07 -7.3430066497500867e+07 -6.4797406747000776e+07 -5.4666685308049411e+07 -4.2846164489503555e+07 -2.9158634276856646e+07 -1.3465439801327290e+07 4.3014538886080934e+06 2.4101751143538509e+07 4.5747968841426902e+07 6.8868369505706146e+07 9.2938817188214973e+07 1.1731794006099293e+08 1.4124118272334516e+08 1.6398203061810586e+08 1.8493651033777937e+08 2.0368106720672867e+08 2.2000711583556944e+08 2.3389321420743611e+08 2.4549498685365382e+08 2.5503071608098322e+08 2.6279385588578311e+08 2.6904301024424398e+08 2.7406204660097170e+08 2.7805948049837953e+08 2.8121449955640012e+08 2.8369605313390231e+08 2.8560319723051804e+08 2.8701927634291244e+08 2.8803109278141844e+08 2.8867223952249205e+08 2.8902128648078948e+08 2.8912239891632307e+08 2.8904029878530395e+08 2.8882098768004262e+08 2.8849176406649423e+08 2.8811110904342216e+08 2.8771080401116943e+08 2.8728611917147642e+08 2.8697041170569384e+08 2.8664667462327445e+08 2.8631421176084387e+08 2.8596518650405347e+08 2.8560488788187486e+08 2.8521971139482158e+08 2.8483969753178692e+08 2.8440613291850513e+08 2.8394218910450315e+08 2.8343934479659110e+08 2.8289094634485418e+08 2.8228890769509393e+08 2.8162412030111533e+08 2.8088009331338280e+08 2.8007532457732624e+08 2.7915530745555419e+08 2.7812391327049303e+08 2.7696618949131781e+08 2.7566604373510224e+08 2.7420688169830793e+08 2.7257205740304416e+08 2.7073988190176684e+08 2.6872920290404993e+08 2.6648179908287215e+08 2.6401520586360320e+08 2.6133512638543767e+08 2.5846257822735012e+08 2.5543331881608599e+08 2.5231540625993234e+08 2.4920710056046730e+08 2.4628931131141034e+08 2.4374955200969043e+08 2.4192349949016118e+08 2.4126322953701228e+08 2.4243584877710214e+08 2.4640224388426077e+08 2.5461913272150320e+08 2.6939044225024360e+08 2.9462671877087671e+08 3.6700926566605788e+08 +3.3989663221074227e+00 -1.1800255585778105e+08 -1.1797776791346219e+08 -1.1793772415893666e+08 -1.1788497650004235e+08 -1.1783057512772493e+08 -1.1779276683310409e+08 -1.1777999608442393e+08 -1.1777820050795814e+08 -1.1777253537870204e+08 -1.1775918022087838e+08 -1.1773887175467655e+08 -1.1771082217358422e+08 -1.1767345388408214e+08 -1.1762517729670598e+08 -1.1756432677662827e+08 -1.1748884959552851e+08 -1.1739627820232123e+08 -1.1728374721778886e+08 -1.1714788342306262e+08 -1.1698468358391239e+08 -1.1678941402693927e+08 -1.1655637182285471e+08 -1.1627756236376068e+08 -1.1593924180082662e+08 -1.1552674218609272e+08 -1.1503209553955856e+08 -1.1444546579631090e+08 -1.1375183456914388e+08 -1.1293256496556491e+08 -1.1196562054656233e+08 -1.1082511081860365e+08 -1.0948064101389873e+08 -1.0789655170446542e+08 -1.0603104100850034e+08 -1.0383517496184029e+08 -1.0125176090181644e+08 -9.8214133624125257e+07 -9.4644868514986068e+07 -9.0454526680952966e+07 -8.5540536974471286e+07 -7.9320756214933693e+07 -7.1968780612337187e+07 -6.3306109332070552e+07 -5.3143015932384148e+07 -4.1288411392357916e+07 -2.7566124182275183e+07 -1.1838997539537795e+07 5.9590198071129806e+06 2.5785222140163623e+07 4.7449462370385408e+07 7.0577416137012616e+07 9.4642876709338635e+07 1.1900337432270743e+08 1.4289453958024344e+08 1.6559137086435539e+08 1.8649256432259607e+08 2.0517784183906144e+08 2.2144198072091788e+08 2.3526649497794718e+08 2.4680929998155266e+08 2.5629020319606423e+08 2.6400352834210426e+08 2.7020820991823059e+08 2.7518811427049500e+08 2.7915151565819377e+08 2.8227725143123442e+08 2.8473388032214147e+08 2.8662005744699019e+08 2.8801870482508868e+08 2.8901625813081270e+08 2.8964594329748785e+08 2.8998597175886023e+08 2.9008016308656144e+08 2.8999289715357423e+08 2.8976977880876952e+08 2.8943774694334376e+08 2.8905495450991672e+08 2.8865290938649142e+08 2.8822667055929512e+08 2.8790989180918753e+08 2.8758508235007340e+08 2.8725152930611551e+08 2.8690136370597994e+08 2.8653988916301209e+08 2.8615347238199168e+08 2.8577216895115370e+08 2.8533718909074837e+08 2.8487173055862254e+08 2.8436724416236687e+08 2.8381705446584731e+08 2.8321304894162190e+08 2.8254608922045875e+08 2.8179964691354477e+08 2.8099219877971834e+08 2.8006917381172186e+08 2.7903440712873131e+08 2.7787289724229103e+08 2.7656849908454174e+08 2.7510456401912260e+08 2.7346439157041979e+08 2.7162623763370943e+08 2.6960893307088518e+08 2.6735417576615268e+08 2.6487951143442339e+08 2.6219066188719875e+08 2.5930871349687690e+08 2.5626954074373406e+08 2.5314142454252711e+08 2.5002296114861128e+08 2.4709558027401116e+08 2.4454751016498190e+08 2.4271548323654702e+08 2.4205306941010842e+08 2.4322953114397144e+08 2.4720890756512955e+08 2.5545269276256439e+08 2.7027237782646322e+08 2.9559121139699775e+08 3.6673333194844902e+08 +3.4039346448816810e+00 -1.1674114461058512e+08 -1.1671652109135044e+08 -1.1667674633078839e+08 -1.1662433708979316e+08 -1.1657024484398617e+08 -1.1653257268499336e+08 -1.1651970409590602e+08 -1.1651768348083144e+08 -1.1651176998572686e+08 -1.1649815846469213e+08 -1.1647756685363959e+08 -1.1644919987458111e+08 -1.1641147576264167e+08 -1.1636279779688156e+08 -1.1630149093394597e+08 -1.1622549225505319e+08 -1.1613232166200781e+08 -1.1601909799592866e+08 -1.1588242933538744e+08 -1.1571829073994675e+08 -1.1552192325175786e+08 -1.1528759470809755e+08 -1.1500727566187227e+08 -1.1466716400518353e+08 -1.1425249652740057e+08 -1.1375524607443289e+08 -1.1316554433384541e+08 -1.1246831136384949e+08 -1.1164482625352280e+08 -1.1067295465235335e+08 -1.0952669483864757e+08 -1.0817552685307817e+08 -1.0658365159511308e+08 -1.0470911307874545e+08 -1.0250280961013532e+08 -9.9907369487824336e+07 -9.6855941179905415e+07 -9.3270913256052271e+07 -8.9062669738643184e+07 -8.4128487504890993e+07 -7.7884337758590385e+07 -7.0505195330993950e+07 -6.1812682971654050e+07 -5.1617422744556844e+07 -3.9728979818942003e+07 -2.5972226341326103e+07 -1.0211507640109887e+07 7.6172423371164668e+06 2.7468910213695571e+07 4.9150692753945999e+07 7.2285692866023958e+07 9.6345652902743429e+07 1.2068702863807675e+08 1.4454566058153787e+08 1.6719807984169444e+08 1.8804566436058038e+08 2.0667141604122147e+08 2.2287347029057035e+08 2.3663628705599511e+08 2.4812005971015093e+08 2.5754610819935131e+08 2.6520961464374691e+08 2.7136983524454361e+08 2.7631062841946584e+08 2.8024002257065755e+08 2.8333650170213056e+08 2.8576823182947308e+08 2.8763346611609489e+08 2.8901470358732760e+08 2.8999801292975998e+08 2.9061625317116946e+08 2.9094727726557285e+08 2.9103455934766060e+08 2.9094213739128685e+08 2.9071521992653167e+08 2.9038038674847448e+08 2.8999546292383760e+08 2.8959168312234771e+08 2.8916389552144337e+08 2.8884604921009409e+08 2.8852017114535272e+08 2.8818553177220547e+08 2.8783422986534601e+08 2.8747158356696486e+08 2.8708393091296709e+08 2.8670134239881039e+08 2.8626495230364978e+08 2.8579798441739178e+08 2.8529186174733567e+08 2.8473988714784777e+08 2.8413392171250123e+08 2.8346479735394758e+08 2.8271594830459362e+08 2.8190583017416036e+08 2.8097980800454915e+08 2.7994168075760573e+08 2.7877639816096640e+08 2.7746776264835632e+08 2.7599907144165713e+08 2.7435356976088530e+08 2.7250945856560558e+08 2.7048555179825300e+08 2.6822346702392575e+08 2.6574076013200769e+08 2.6304317153983629e+08 2.6015185616963792e+08 2.5710280514197123e+08 2.5396452138981730e+08 2.5083593625707692e+08 2.4789899761384282e+08 2.4534264609725732e+08 2.4350466589596575e+08 2.4284011580828634e+08 2.4402040645196742e+08 2.4801271826905897e+08 2.5628330469420916e+08 2.7115119423036438e+08 2.9655229276429397e+08 3.6645558020748889e+08 +3.4089029676559393e+00 -1.1547664703539963e+08 -1.1545218953210677e+08 -1.1541268465528017e+08 -1.1536061366102910e+08 -1.1530683101171783e+08 -1.1526929530984347e+08 -1.1525632908635199e+08 -1.1525408364024347e+08 -1.1524792202790923e+08 -1.1523405447532986e+08 -1.1521318016475180e+08 -1.1518449634152251e+08 -1.1514641710249610e+08 -1.1509733861507960e+08 -1.1503557645589010e+08 -1.1495905754548573e+08 -1.1486528927874696e+08 -1.1475137476260252e+08 -1.1461390342899267e+08 -1.1444882869470048e+08 -1.1425136639532611e+08 -1.1401575522568269e+08 -1.1373393102555422e+08 -1.1339203364134394e+08 -1.1297520485435876e+08 -1.1247535849044029e+08 -1.1188259415132804e+08 -1.1118177059360962e+08 -1.1035408321271236e+08 -1.0937730013796523e+08 -1.0822530888880990e+08 -1.0686746487742968e+08 -1.0526783000722171e+08 -1.0338429500259370e+08 -1.0116759142213763e+08 -9.8560169708886355e+07 -9.5494993430186287e+07 -9.1894266054567650e+07 -8.7668196576261461e+07 -8.2713912345403329e+07 -7.6445510696031511e+07 -6.9039343145818651e+07 -6.0317160820993423e+07 -5.0089939574388966e+07 -3.8167904249866463e+07 -2.4376975810487855e+07 -8.5830055921121333e+06 9.2760857842745427e+06 2.9152779785485908e+07 5.0851624940821350e+07 7.3993165648437142e+07 9.8047113235142753e+07 1.2236887245295502e+08 1.4619451751950222e+08 1.6880213190710887e+08 1.8959578742358091e+08 2.0816176929535508e+08 2.2430156631770846e+08 2.3800257422024623e+08 2.4942725151961502e+08 2.5879841798182696e+08 2.6641210283428076e+08 2.7252787520053256e+08 2.7742957877918696e+08 2.8132499157465279e+08 2.8439224119686675e+08 2.8679909887890202e+08 2.8864341477797264e+08 2.9000726442144233e+08 2.9097634917069596e+08 2.9158316129122210e+08 2.9190519526672196e+08 2.9198558005211109e+08 2.9188801191417259e+08 2.9165730349315929e+08 2.9131967597114080e+08 2.9093262679526645e+08 2.9052711774475151e+08 2.9009778659641629e+08 2.8977887645642787e+08 2.8945193356540430e+08 2.8911621172397822e+08 2.8876377755629575e+08 2.8839996367676842e+08 2.8801107958109701e+08 2.8762721047833353e+08 2.8718941517181736e+08 2.8672094330766267e+08 2.8621319019128841e+08 2.8565943704486507e+08 2.8505151867710930e+08 2.8438023738795114e+08 2.8362899019161451e+08 2.8281621148717964e+08 2.8188720278450048e+08 2.8084572693511003e+08 2.7967668505538136e+08 2.7836382726769936e+08 2.7689039684499502e+08 2.7523958489633232e+08 2.7338953766707683e+08 2.7135905210850430e+08 2.6908966593695670e+08 2.6659894510044220e+08 2.6389264855711144e+08 2.6099199953410286e+08 2.5793310537795100e+08 2.5478469024951580e+08 2.5164601941417235e+08 2.4869955693552020e+08 2.4613495347677788e+08 2.4429104118634018e+08 2.4362436246626738e+08 2.4480846840556979e+08 2.4881366959748077e+08 2.5711096190472344e+08 2.7202688446626222e+08 2.9750995522208136e+08 3.6617602002404600e+08 +3.4138712904301975e+00 -1.1420909349156593e+08 -1.1418480102958137e+08 -1.1414556574214081e+08 -1.1409383353612664e+08 -1.1404036112975514e+08 -1.1400296217002892e+08 -1.1398989854111928e+08 -1.1398742847863720e+08 -1.1398101900124775e+08 -1.1396689575325653e+08 -1.1394573919534813e+08 -1.1391673908839227e+08 -1.1387830542635499e+08 -1.1382882728348397e+08 -1.1376661088520668e+08 -1.1368957302248363e+08 -1.1359520862294653e+08 -1.1348060510556060e+08 -1.1334233331172720e+08 -1.1317632508015081e+08 -1.1297777111735311e+08 -1.1274088106859761e+08 -1.1245755618659744e+08 -1.1211387848719096e+08 -1.1169489500117861e+08 -1.1119246068912388e+08 -1.1059664322932482e+08 -1.0989224033171012e+08 -1.0906036402480316e+08 -1.0807868531182294e+08 -1.0692098142523268e+08 -1.0555648371436878e+08 -1.0394911576677132e+08 -1.0205661583569951e+08 -9.9829549717403948e+07 -9.7210191187005311e+07 -9.4131320341083184e+07 -9.0514957266377553e+07 -8.6271137986896649e+07 -8.1296842774650097e+07 -7.5004306879631341e+07 -6.7571256530399546e+07 -5.8819576008282557e+07 -4.8560600215147369e+07 -3.6605219118452966e+07 -2.2780407586309746e+07 -6.9535268106271867e+06 1.0935514543537555e+07 3.0836795382315483e+07 5.2552224001218759e+07 7.5699800576502070e+07 9.9747225323003486e+07 1.2404887537213632e+08 1.4784108235104540e+08 1.7040350158395910e+08 1.9114291064772108e+08 2.0964888124326873e+08 2.2572625072820315e+08 2.3936534039557663e+08 2.5073086102895203e+08 2.6004711956647357e+08 2.6761098108350024e+08 2.7368231888391560e+08 2.7854495519651997e+08 2.8240641312148923e+08 2.8544446085357648e+08 2.8782647280011672e+08 2.8964989507668388e+08 2.9099637922378892e+08 2.9195125894726890e+08 2.9254665990542555e+08 2.9285971812762535e+08 2.9293321765249407e+08 2.9283051323646110e+08 2.9259602206594187e+08 2.9225560719892031e+08 2.9186643873187649e+08 2.9145920587670857e+08 2.9102833642061317e+08 2.9070836619248569e+08 2.9038036226300782e+08 2.9004356182305962e+08 2.8968999944934887e+08 2.8932502217208153e+08 2.8893491107540810e+08 2.8854976588909107e+08 2.8811057040593457e+08 2.8764059995174193e+08 2.8713122222932416e+08 2.8657569690659928e+08 2.8596583260003144e+08 2.8529240210419929e+08 2.8453876537589473e+08 2.8372333554080683e+08 2.8279135099738568e+08 2.8174653853288120e+08 2.8057375082679439e+08 2.7925668587731570e+08 2.7777853320136321e+08 2.7612242999025637e+08 2.7426646799845648e+08 2.7222942711367077e+08 2.6995276567493260e+08 2.6745405957319522e+08 2.6473908624055269e+08 2.6182913696580157e+08 2.5876043490439168e+08 2.5560192465470290e+08 2.5245320423250911e+08 2.4949725192684710e+08 2.4692442605652767e+08 2.4507460290716630e+08 2.4440580320066658e+08 2.4559371079074940e+08 2.4961175523478669e+08 2.5793565786771753e+08 2.7289944162947255e+08 2.9846419121951747e+08 3.6589466096961772e+08 +3.4188396132044558e+00 -1.1293850946666473e+08 -1.1291438289918421e+08 -1.1287541733366045e+08 -1.1282402473036450e+08 -1.1277086270459230e+08 -1.1273360076337926e+08 -1.1272043997937340e+08 -1.1271774551006106e+08 -1.1271108842283386e+08 -1.1269670982102397e+08 -1.1267527147403629e+08 -1.1264595565095721e+08 -1.1260716827817832e+08 -1.1255729135542017e+08 -1.1249462178599335e+08 -1.1241706626279664e+08 -1.1232210728616615e+08 -1.1220681663371924e+08 -1.1206774661263977e+08 -1.1190080754883556e+08 -1.1170116509854460e+08 -1.1146299995000665e+08 -1.1117817889697188e+08 -1.1083272634060857e+08 -1.1041159482143733e+08 -1.0990658059067845e+08 -1.0930771956671773e+08 -1.0859974866942067e+08 -1.0776369688888453e+08 -1.0677713849872336e+08 -1.0561374091906454e+08 -1.0424261200530523e+08 -1.0262753771256185e+08 -1.0072610464463159e+08 -9.8488713824465409e+07 -9.5857463550824463e+07 -9.2764951883135140e+07 -8.9133017248252824e+07 -8.4871524760677040e+07 -7.9877310063822731e+07 -7.3560758148587391e+07 -6.6100967938102841e+07 -5.7319961633582711e+07 -4.7029438422886498e+07 -3.5040958809487753e+07 -2.1182556604422066e+07 -5.3231066358397920e+06 1.2595493100041658e+07 3.2520921637083404e+07 5.4252455127319835e+07 7.7405563879592270e+07 1.0144595693212028e+08 1.2572700715976651e+08 1.4948532719814453e+08 1.7200216356237414e+08 1.9268701133400494e+08 2.1113273168670109e+08 2.2714750560194743e+08 2.4072456965306169e+08 2.5203087399623412e+08 2.6129220010841313e+08 2.6880623768652004e+08 2.7483315551359242e+08 2.7965674763473082e+08 2.8348427777396303e+08 2.8649315171888167e+08 2.8885034502952087e+08 2.9065289876102036e+08 2.9198203999144554e+08 2.9292273445434123e+08 2.9350674136133862e+08 2.9381083831207877e+08 2.9387746469879943e+08 2.9376963397013521e+08 2.9353136830010790e+08 2.9318817311564487e+08 2.9279689143831241e+08 2.9238794023819339e+08 2.9195553772686404e+08 2.9163451115972167e+08 2.9130544998806602e+08 2.9096757482766426e+08 2.9061288831159019e+08 2.9024675182895261e+08 2.8985541818155563e+08 2.8946900142702633e+08 2.8902841081258816e+08 2.8855694716776764e+08 2.8804595069243920e+08 2.8748865957707679e+08 2.8687685634157103e+08 2.8620128437942344e+08 2.8544526675211364e+08 2.8462719525102055e+08 2.8369224558206785e+08 2.8264410851587564e+08 2.8146758846968126e+08 2.8014633150416321e+08 2.7866347357482427e+08 2.7700209814824337e+08 2.7514024271115226e+08 2.7309667001695144e+08 2.7081275949761420e+08 2.6830609687235442e+08 2.6558247798042893e+08 2.6266326192712381e+08 2.5958478726065889e+08 2.5641621822297892e+08 2.5325748440823618e+08 2.5029207635823768e+08 2.4771105767104575e+08 2.4585534493933281e+08 2.4518443190850788e+08 2.4637612747523820e+08 2.5040696894851044e+08 2.5875738614307523e+08 2.7376885890551567e+08 2.9941499330475497e+08 3.6561151260615170e+08 +3.4238079359787141e+00 -1.1166492401099895e+08 -1.1164096213201113e+08 -1.1160226803094284e+08 -1.1155121431613956e+08 -1.1149836316442792e+08 -1.1146123862049460e+08 -1.1144798094674781e+08 -1.1144506226850584e+08 -1.1143815782955833e+08 -1.1142352422243808e+08 -1.1140180454954803e+08 -1.1137217358532929e+08 -1.1133303322260188e+08 -1.1128275840446785e+08 -1.1121963674285281e+08 -1.1114156486334850e+08 -1.1104601287991810e+08 -1.1093003697568765e+08 -1.1079017098063843e+08 -1.1062230377321620e+08 -1.1042157603886253e+08 -1.1018213960259008e+08 -1.0989582692742537e+08 -1.0954860501838487e+08 -1.0912533218707435e+08 -1.0861774613346450e+08 -1.0801585118006043e+08 -1.0730432371468461e+08 -1.0646411001986134e+08 -1.0547268803873137e+08 -1.0430361585586955e+08 -1.0292587840482254e+08 -1.0130312469511288e+08 -9.9392790505896956e+07 -9.7145113080007106e+07 -9.4502016434703782e+07 -9.1395918029553771e+07 -8.7748476356768727e+07 -8.3469387683726519e+07 -7.8455345475631461e+07 -7.2114896327914923e+07 -6.4628509801330723e+07 -5.5818350768049829e+07 -4.5496487914989576e+07 -3.3475157658488154e+07 -1.9583457738608219e+07 -3.6917803321138993e+06 1.4255986029867267e+07 3.4205123289625324e+07 5.5952283634370141e+07 7.9110421924499422e+07 1.0314327597880214e+08 1.2740323773970300e+08 1.5112722434730637e+08 1.7359809269872698e+08 1.9422806694736785e+08 2.1261330058691201e+08 2.2856531317108822e+08 2.4208024620908427e+08 2.5332727631754497e+08 2.6253364689438811e+08 2.6999786106462473e+08 2.7598037442793715e+08 2.8076494617284018e+08 2.8455857620738119e+08 2.8753830494846833e+08 2.8987070710897452e+08 2.9165241768341798e+08 2.9296423882490379e+08 2.9389076798744035e+08 2.9446339810668337e+08 2.9475854838372409e+08 2.9481831383967656e+08 2.9470536682476115e+08 2.9446333494823360e+08 2.9411736650311601e+08 2.9372397771650028e+08 2.9331331364626449e+08 2.9287938334426129e+08 2.9255730419573790e+08 2.9222718958598876e+08 2.9188824359156919e+08 2.9153243700538510e+08 2.9116514551894325e+08 2.9077259378060615e+08 2.9038490998287994e+08 2.8994292929337811e+08 2.8946997786936110e+08 2.8895736850647432e+08 2.8839831799640930e+08 2.8778458285560906e+08 2.8710687718485355e+08 2.8634848730994332e+08 2.8552778362784332e+08 2.8458987957161164e+08 2.8353842994315702e+08 2.8235819107160026e+08 2.8103275726872665e+08 2.7954521112160200e+08 2.7787858256749159e+08 2.7601085504803461e+08 2.7396077411160755e+08 2.7166964075435621e+08 2.6915505040848750e+08 2.6642281725416806e+08 2.6349436796759048e+08 2.6040615607148689e+08 2.5722756465727645e+08 2.5405885372148541e+08 2.5108402408294007e+08 2.4849484223717341e+08 2.4663326124494541e+08 2.4596024256850174e+08 2.4715571240837079e+08 2.5119930458878416e+08 2.5957614037561855e+08 2.7463512957088411e+08 3.0036235412458688e+08 3.6532658448586959e+08 +3.4287762587529724e+00 -1.1038836316889770e+08 -1.1036456700734276e+08 -1.1032614337868908e+08 -1.1027542983189724e+08 -1.1022288998594089e+08 -1.1018590330510487e+08 -1.1017254900500253e+08 -1.1016940630711719e+08 -1.1016225477772024e+08 -1.1014736652137586e+08 -1.1012536599013953e+08 -1.1009542046714097e+08 -1.1005592784344387e+08 -1.1000525602368951e+08 -1.0994168335922958e+08 -1.0986309644020022e+08 -1.0976695303505470e+08 -1.0965029377924415e+08 -1.0950963408325939e+08 -1.0934084144428018e+08 -1.0913903165690283e+08 -1.0889832777730523e+08 -1.0861052806718670e+08 -1.0826154235491380e+08 -1.0783613498760730e+08 -1.0732598527282004e+08 -1.0672106610235293e+08 -1.0600599359138651e+08 -1.0516163164814509e+08 -1.0416536228624284e+08 -1.0299063473453030e+08 -1.0160631157980923e+08 -9.9975905575502500e+07 -9.8056702505326182e+07 -9.5798776827906579e+07 -9.3143879477939889e+07 -9.0024248755720392e+07 -8.6361364947134480e+07 -8.2064757537070513e+07 -7.7030980263115555e+07 -7.0666753227287188e+07 -6.3153914530401722e+07 -5.4314776452598110e+07 -4.3961782369437248e+07 -3.1907849950504441e+07 -1.7983145799881112e+07 -2.0595830871065946e+06 1.5916958001005741e+07 3.5889365187452503e+07 5.7651674960747883e+07 8.0814341216221794e+07 1.0483915052965951e+08 1.2907753719515885e+08 1.5276674625051969e+08 1.7519126401578116e+08 1.9576605511742660e+08 2.1409056806414819e+08 2.2997965582093990e+08 2.4343235442559591e+08 2.5462005402751985e+08 2.6377144734195334e+08 2.7118583976333261e+08 2.7712396508549964e+08 2.8186954100456566e+08 2.8562929920812726e+08 2.8857991180528253e+08 2.9088755068639600e+08 2.9264844379969090e+08 2.9394296792610997e+08 2.9485535194269419e+08 2.9541662268825507e+08 2.9570284100336343e+08 2.9575575782164288e+08 2.9563770460755742e+08 2.9539191485927993e+08 2.9504318023897505e+08 2.9464769046441156e+08 2.9423531901359695e+08 2.9379986619852608e+08 2.9347673823392820e+08 2.9314557399917161e+08 2.9280556106512809e+08 2.9244863848975915e+08 2.9208019620988882e+08 2.9168643084927112e+08 2.9129748454342276e+08 2.9085411884589946e+08 2.9037968506501216e+08 2.8986546869264239e+08 2.8930466519878721e+08 2.8868900519208616e+08 2.8800917358582520e+08 2.8724842013304502e+08 2.8642509377547675e+08 2.8548424609269392e+08 2.8442949596642649e+08 2.8324555181285757e+08 2.8191595638323063e+08 2.8042373908998764e+08 2.7875187653652620e+08 2.7687829834242338e+08 2.7482173278086352e+08 2.7252340288388604e+08 2.7000091368122548e+08 2.6726009762726894e+08 2.6432244872293675e+08 2.6122453504769653e+08 2.5803595774497488e+08 2.5485730603601640e+08 2.5187308903683293e+08 2.4927577375319445e+08 2.4740834586771300e+08 2.4673322923990855e+08 2.4793245962034482e+08 2.5198875608852312e+08 2.6039191429609448e+08 2.7549824699217969e+08 3.0130626642554712e+08 3.6503988615109032e+08 +3.4337445815272307e+00 -1.0910885594745749e+08 -1.0908522622015066e+08 -1.0904707259496517e+08 -1.0899669921375765e+08 -1.0894447094272713e+08 -1.0890762242180295e+08 -1.0889417172536969e+08 -1.0889080519598235e+08 -1.0888340684141766e+08 -1.0886826430070321e+08 -1.0884598338275643e+08 -1.0881572389066730e+08 -1.0877587974293013e+08 -1.0872481182452261e+08 -1.0866078925733744e+08 -1.0858168862778436e+08 -1.0848495540029922e+08 -1.0836761471031155e+08 -1.0822616360607237e+08 -1.0805644827094223e+08 -1.0785355968889147e+08 -1.0761159224242085e+08 -1.0732231012241985e+08 -1.0697156620150653e+08 -1.0654403112899008e+08 -1.0603132598015219e+08 -1.0542339238203079e+08 -1.0470478643855605e+08 -1.0385629001825017e+08 -1.0285518960889068e+08 -1.0167482606631678e+08 -1.0028394020820953e+08 -9.8645909224783868e+07 -9.6717869736483291e+07 -9.4449734418179095e+07 -9.1783082323542222e+07 -8.8649974038145170e+07 -8.4971713372576371e+07 -8.0657665095813408e+07 -7.5604245668974683e+07 -6.9216360640100628e+07 -6.1677214512694165e+07 -5.2809271697164461e+07 -4.2425355423711374e+07 -3.0339069919315495e+07 -1.6381655535448423e+07 -4.2655001086301875e+05 1.7578373774043683e+07 3.7573612286491565e+07 5.9350594669098519e+07 8.2517288398357078e+07 1.0653354880221425e+08 1.3074987576957209e+08 1.5440386552492625e+08 1.7678165270287761e+08 1.9730095363724571e+08 2.1556451439819235e+08 2.3139051608946130e+08 2.4478087880994424e+08 2.5590919329804966e+08 2.6500558900011906e+08 2.7237016245380908e+08 2.7826391706421083e+08 2.8297052243925709e+08 2.8669643767440343e+08 2.8961796366210395e+08 2.9190086751540786e+08 2.9364096916970891e+08 2.9491821959867245e+08 2.9581647881692040e+08 2.9636640775199622e+08 2.9664370893169248e+08 2.9668978948868757e+08 2.9656664022287858e+08 2.9631710097936207e+08 2.9596560729854751e+08 2.9556802267663568e+08 2.9515394934988737e+08 2.9471697931080961e+08 2.9439280630433679e+08 2.9406059626497978e+08 2.9371952029405737e+08 2.9336148581891119e+08 2.9299189696450031e+08 2.9259692245955241e+08 2.9220671819047266e+08 2.9176197256235445e+08 2.9128606185823095e+08 2.9077024436639106e+08 2.9020769431308609e+08 2.8959011649396563e+08 2.8890816674217379e+08 2.8814505839891970e+08 2.8731911889109075e+08 2.8637533836516619e+08 2.8531729983077967e+08 2.8412966396658355e+08 2.8279592215184945e+08 2.8129905082014227e+08 2.7962197343475503e+08 2.7774256601811820e+08 2.7567953949791074e+08 2.7337403941383731e+08 2.7084368027798402e+08 2.6809431275212157e+08 2.6514749791546002e+08 2.6203991798473281e+08 2.5884139135724160e+08 2.5565283529818648e+08 2.5265926523829150e+08 2.5005384629878387e+08 2.4818059293108240e+08 2.4750338606270665e+08 2.4870636322277641e+08 2.5277531746269593e+08 2.6120470172011045e+08 2.7635820462588429e+08 3.0224672305123913e+08 3.6475142713405520e+08 +3.4387129043014890e+00 -1.0782642793234001e+08 -1.0780296440806283e+08 -1.0776508270060277e+08 -1.0771504968240777e+08 -1.0766313372152290e+08 -1.0762642360952154e+08 -1.0761287668675323e+08 -1.0760928652182347e+08 -1.0760164161217925e+08 -1.0758624516113050e+08 -1.0756368433178404e+08 -1.0753311146788128e+08 -1.0749291654095453e+08 -1.0744145343587983e+08 -1.0737698207635033e+08 -1.0729736907784283e+08 -1.0720004764180022e+08 -1.0708202745166045e+08 -1.0693978725171651e+08 -1.0676915197889842e+08 -1.0656518788775700e+08 -1.0632196078289914e+08 -1.0603120091553421e+08 -1.0567870442550127e+08 -1.0524904853280996e+08 -1.0473379624199098e+08 -1.0412285808229212e+08 -1.0340073040904579e+08 -1.0254811338790986e+08 -1.0154219838686910e+08 -1.0035621837390125e+08 -9.8958792978052080e+07 -9.7313164522739738e+07 -9.5376321300478786e+07 -9.3098015205685571e+07 -9.0419654617377892e+07 -8.7273123853414521e+07 -8.3579551983184278e+07 -7.9248141128000915e+07 -7.4175172924324647e+07 -6.7763750342597321e+07 -6.0198442111322872e+07 -5.1301869479579113e+07 -4.0887240673873506e+07 -2.8768851746344183e+07 -1.4779021627872407e+07 1.2072838650647795e+06 1.9240198203098729e+07 3.9257829651823558e+07 6.1049008446677230e+07 8.4219230253562361e+07 1.0822643916538881e+08 1.3242022386651511e+08 1.5603855495258510e+08 1.7836923411534217e+08 1.9883274046442065e+08 2.1703512002740493e+08 2.3279787666623852e+08 2.4612580401411802e+08 2.5719468043914929e+08 2.6623605954826009e+08 2.7355081793149942e+08 2.7940022006163424e+08 2.8406788090080500e+08 2.8775998261469549e+08 2.9065245199826622e+08 2.9291064945504206e+08 2.9462998595617735e+08 2.9588998624808061e+08 2.9677414120649493e+08 2.9731274604308426e+08 2.9758114502644885e+08 2.9762040178242648e+08 2.9749216667211974e+08 2.9723888635201025e+08 2.9688464075251406e+08 2.9648496744389611e+08 2.9606919776023132e+08 2.9563071579881752e+08 2.9530550153224474e+08 2.9497224951665074e+08 2.9463011441961801e+08 2.9427097214208460e+08 2.9390024094102913e+08 2.9350406177896369e+08 2.9311260410082853e+08 2.9266648362972009e+08 2.9218910144742817e+08 2.9167168873801178e+08 2.9110739856282115e+08 2.9048790999943250e+08 2.8980384990716749e+08 2.8903839537852168e+08 2.8820985226572287e+08 2.8726314970181376e+08 2.8620183487367594e+08 2.8501052089775771e+08 2.8367264797127998e+08 2.8217113974277073e+08 2.8048886673248458e+08 2.7860365158901215e+08 2.7653418782556695e+08 2.7422154396060932e+08 2.7168334387452668e+08 2.6892545636846185e+08 2.6596950935394201e+08 2.6285229876379785e+08 2.5964385944986081e+08 2.5644543553836742e+08 2.5344254678737792e+08 2.5082905403527832e+08 2.4894999664013377e+08 2.4827070725709400e+08 2.4947741740783262e+08 2.5355898280877244e+08 2.6201449654799616e+08 2.7721499601844567e+08 3.0318371694466209e+08 3.6446121695675492e+08 +3.4436812270757473e+00 -1.0654110962306422e+08 -1.0651781093654971e+08 -1.0648020044989060e+08 -1.0643050892691208e+08 -1.0637890585089771e+08 -1.0634233449681418e+08 -1.0632869147992800e+08 -1.0632487788750207e+08 -1.0631698669850652e+08 -1.0630133671961921e+08 -1.0627849645810518e+08 -1.0624761082728030e+08 -1.0620706587361442e+08 -1.0615520850318752e+08 -1.0609028947213604e+08 -1.0601016545827699e+08 -1.0591225744201933e+08 -1.0579355970238447e+08 -1.0565053273893806e+08 -1.0547898030979438e+08 -1.0527394402203487e+08 -1.0502946119894885e+08 -1.0473722828424937e+08 -1.0438298490906046e+08 -1.0395121513508238e+08 -1.0343342405905166e+08 -1.0281949127992639e+08 -1.0209385366870250e+08 -1.0123713002726167e+08 -1.0022641701187821e+08 -9.9034840190300778e+07 -9.7630898586627886e+07 -9.5977700356786832e+07 -9.4032086304258630e+07 -9.1743648549791709e+07 -8.9053626006980836e+07 -8.5893728176968753e+07 -8.2184911124394730e+07 -7.7836216393615097e+07 -7.2743793247576192e+07 -6.6308954092610978e+07 -5.8717629664448373e+07 -4.9792602744563341e+07 -3.9347471673495218e+07 -2.7197229559787888e+07 -1.3175278694119515e+07 2.8418835884972592e+06 2.0902396236562967e+07 4.0941982458356023e+07 6.2746882106044255e+07 8.5920133704022929e+07 1.0991779013950910e+08 1.3408855204979604e+08 1.5767078748100352e+08 1.7995398377524531e+08 2.0036139371998233e+08 2.1850236554912725e+08 2.3420172039351147e+08 2.4746711483467954e+08 2.5847650189770091e+08 2.6746284679655483e+08 2.7472779511606455e+08 2.8053286389403975e+08 2.8516160692795074e+08 2.8881992514871621e+08 2.9168336840123713e+08 2.9391688846855849e+08 2.9561548642470121e+08 2.9685826038023615e+08 2.9772833180755138e+08 2.9825563040535361e+08 2.9851514224367452e+08 2.9854758774185419e+08 2.9841427705308640e+08 2.9815726411583489e+08 2.9780027376818228e+08 2.9739851795253831e+08 2.9698105744534630e+08 2.9654106887531608e+08 2.9621481713829964e+08 2.9588052698289931e+08 2.9553733667841268e+08 2.9517709070445031e+08 2.9480522139252782e+08 2.9440784206921411e+08 2.9401513554593849e+08 2.9356764532980955e+08 2.9308879712465566e+08 2.9256979511178184e+08 2.9200377126526678e+08 2.9138237903942972e+08 2.9069621642839360e+08 2.8992842443662184e+08 2.8909728728333187e+08 2.8814767350822109e+08 2.8708309452474320e+08 2.8588811606381857e+08 2.8454612732919782e+08 2.8303999938073385e+08 2.8135254999078238e+08 2.7946154865941709e+08 2.7738567141560388e+08 2.7506591022925746e+08 2.7251989823358119e+08 2.6975352230282336e+08 2.6678847693226784e+08 2.6366167135082912e+08 2.6044335606240350e+08 2.5723510086893404e+08 2.5422292786606005e+08 2.5160139120447272e+08 2.4971655127998748e+08 2.4903518712382695e+08 2.5024561644835594e+08 2.5433974630569378e+08 2.6282129276509663e+08 2.7806861480598319e+08 3.0411724114619774e+08 3.6416926513076001e+08 +3.4486495498500056e+00 -1.0525292608684146e+08 -1.0522979417899887e+08 -1.0519245620120029e+08 -1.0514310486672296e+08 -1.0509181497540383e+08 -1.0505538266016290e+08 -1.0504164371247238e+08 -1.0503760691229197e+08 -1.0502946972465430e+08 -1.0501356660841806e+08 -1.0499044739867435e+08 -1.0495924961315884e+08 -1.0491835539275983e+08 -1.0486610468732332e+08 -1.0480073911582857e+08 -1.0472010545260860e+08 -1.0462161249837163e+08 -1.0450223917685108e+08 -1.0435842780117503e+08 -1.0418596102001514e+08 -1.0397985587500130e+08 -1.0373412130549477e+08 -1.0344042008046198e+08 -1.0308443554842092e+08 -1.0265055888560092e+08 -1.0213023744516976e+08 -1.0151332006437367e+08 -1.0078418439538491e+08 -9.9923368217505053e+07 -9.8907873885822624e+07 -9.7710720057965517e+07 -9.6300285739612505e+07 -9.4639545621455312e+07 -9.2685193859928891e+07 -9.0386663812861681e+07 -8.7685026140921637e+07 -8.4511816982438713e+07 -8.0787821137005225e+07 -7.6421921643597171e+07 -7.1310137843807399e+07 -6.4852003628806673e+07 -5.7234809484205909e+07 -4.8281504402862430e+07 -3.7806081932836078e+07 -2.5624237433607098e+07 -1.1570461284603462e+07 4.4772142874979330e+06 2.2564932917963505e+07 4.2626035991593517e+07 6.4444181585622616e+07 8.7619965812089697e+07 1.1160757039705133e+08 1.3575483104392862e+08 1.5930053622323611e+08 1.8153587737025690e+08 2.0188689168890625e+08 2.1996623171887970e+08 2.3560203026480466e+08 2.4880479621244866e+08 2.5975464425765473e+08 2.6868593868502641e+08 2.7590108305128384e+08 2.8166183849659258e+08 2.8625169117275685e+08 2.8987625650694489e+08 2.9271070456608689e+08 2.9491957662503976e+08 2.9659746294363034e+08 2.9782303460282391e+08 2.9867904341651237e+08 2.9919505378105116e+08 2.9944569363676727e+08 2.9947134050260168e+08 2.9933296456056547e+08 2.9907222750646061e+08 2.9871249960846752e+08 2.9830866748464221e+08 2.9788952170199877e+08 2.9744803184843606e+08 2.9712074643841314e+08 2.9678542198727393e+08 2.9644118040131783e+08 2.9607983484498912e+08 2.9570683166685140e+08 2.9530825668683690e+08 2.9491430589175487e+08 2.9446545103849542e+08 2.9398514227740014e+08 2.9346455688623875e+08 2.9289680583146459e+08 2.9227351703945941e+08 2.9158525974606514e+08 2.9081513903093177e+08 2.8998141742095178e+08 2.8902890328296149e+08 2.8796107230673063e+08 2.8676244301396453e+08 2.8541635380539250e+08 2.8390562334729499e+08 2.8221301686110473e+08 2.8031625092311668e+08 2.7823398400951087e+08 2.7590713201350552e+08 2.7335333720651627e+08 2.7057850446867269e+08 2.6760439463112560e+08 2.6446802979655588e+08 2.6123987531829956e+08 2.5802182548580563e+08 2.5500040273839426e+08 2.5237085212945911e+08 2.5048025121614653e+08 2.4979682004355940e+08 2.5101095469753978e+08 2.5511760221469882e+08 2.6362508444079956e+08 2.7891905471370089e+08 3.0504728879406124e+08 3.6387558115704715e+08 +3.4536178726242639e+00 -1.0396190661099479e+08 -1.0393894017300808e+08 -1.0390187473461285e+08 -1.0385286479789194e+08 -1.0380188845220120e+08 -1.0376559565897255e+08 -1.0375176101323608e+08 -1.0374750123211820e+08 -1.0373911833065845e+08 -1.0372296247373404e+08 -1.0369956480521576e+08 -1.0366805548452301e+08 -1.0362681276480848e+08 -1.0357416966377689e+08 -1.0350835869323219e+08 -1.0342721675871047e+08 -1.0332814052289206e+08 -1.0320809360350461e+08 -1.0306350018632466e+08 -1.0289012188018736e+08 -1.0268295124379793e+08 -1.0243596893085989e+08 -1.0214080416949768e+08 -1.0178308425263861e+08 -1.0134710774669677e+08 -1.0082426442644015e+08 -1.0020437253670442e+08 -9.9471750778242290e+07 -9.8606856250560984e+07 -9.7586597420279413e+07 -9.6383886527948841e+07 -9.4966983149794146e+07 -9.3298729216772139e+07 -9.1335673083787069e+07 -8.9027090359409168e+07 -8.6313884667521954e+07 -8.3127420240777373e+07 -7.9388312355310962e+07 -7.5005287618971959e+07 -6.9874237903451398e+07 -6.3392930669557959e+07 -5.5750013855585620e+07 -4.6768607330058888e+07 -3.6263104917645149e+07 -2.4049909386592593e+07 -9.9646038823061157e+06 6.1132411712349160e+06 2.4227773386665184e+07 4.4309955648359016e+07 6.6140872950460285e+07 8.9318693780624941e+07 1.1329574876254296e+08 1.3741903173410422e+08 1.6092777445744130e+08 1.8311489075480080e+08 2.0340921281935999e+08 2.2142669945079938e+08 2.3699878942515698e+08 2.5013883323247021e+08 2.6102909423977029e+08 2.6990532328323942e+08 2.7707067090455168e+08 2.8278713392269582e+08 2.8733812440270400e+08 2.9092896802958596e+08 2.9373445229421580e+08 2.9591870609747159e+08 2.9757590798389900e+08 2.9878430162375361e+08 2.9962626892840052e+08 3.0013100921069795e+08 3.0037279235715151e+08 3.0039165329732215e+08 3.0024822248507971e+08 2.9998376985491985e+08 2.9962131163179153e+08 2.9921540941791552e+08 2.9879458392165989e+08 2.9835159812123835e+08 2.9802328284367746e+08 2.9768692794812435e+08 2.9734163901515496e+08 2.9697919799833292e+08 2.9660506520666987e+08 2.9620529908314896e+08 2.9581010859819192e+08 2.9535989422593480e+08 2.9487813038573033e+08 2.9435596755379331e+08 2.9378649576629055e+08 2.9316131751796776e+08 2.9247097339395839e+08 2.9169853271180546e+08 2.9086223624791420e+08 2.8990683261661279e+08 2.8883576183366615e+08 2.8763349538898957e+08 2.8628332107005972e+08 2.8476800534660590e+08 2.8307026108518577e+08 2.8116775216362906e+08 2.7907911943705583e+08 2.7674520319467682e+08 2.7418365473148221e+08 2.7140039686575127e+08 2.6841725651592234e+08 2.6527136823595467e+08 2.6203341142389846e+08 2.5880560366659600e+08 2.5577496574966878e+08 2.5313743121364841e+08 2.5124109089417657e+08 2.5055560047676662e+08 2.5177342658899626e+08 2.5589254487791717e+08 2.6442586572891390e+08 2.7976630955620539e+08 3.0597385312382317e+08 3.6358017452583379e+08 +3.4585861953985222e+00 -1.0266807667906368e+08 -1.0264527827438945e+08 -1.0260848489721483e+08 -1.0255981679796843e+08 -1.0250915384417345e+08 -1.0247300110516898e+08 -1.0245907103102876e+08 -1.0245458849941815e+08 -1.0244596017119235e+08 -1.0242955197516513e+08 -1.0240587634348580e+08 -1.0237405611409874e+08 -1.0233246566991523e+08 -1.0227943112164190e+08 -1.0221317590363987e+08 -1.0213152708787446e+08 -1.0203186924095395e+08 -1.0191115072421622e+08 -1.0176577765536235e+08 -1.0159149067385714e+08 -1.0138325793842120e+08 -1.0113503191625424e+08 -1.0083840842909770e+08 -1.0047895894324306e+08 -1.0004088969253252e+08 -9.9515533040174603e+07 -9.8892676808808193e+07 -9.8156581016344234e+07 -9.7287622427502438e+07 -9.6262616035428137e+07 -9.5054368158831969e+07 -9.3631019536434844e+07 -9.1955280048048973e+07 -8.9983553095504433e+07 -8.7664957555367261e+07 -8.4940231233972967e+07 -8.1740567918480977e+07 -7.7986415106653854e+07 -7.3586345049781337e+07 -6.8436124601525962e+07 -6.1931766911897302e+07 -5.4263275035625771e+07 -4.5253944365872435e+07 -3.4718574048442416e+07 -2.2474279381396808e+07 -8.3577409018786112e+06 7.7499295308429310e+06 2.5890882878779598e+07 4.5993706937478885e+07 6.7836922392614231e+07 9.1016284953383550e+07 1.1498229421330543e+08 1.3908112516665858e+08 1.6255247562739155e+08 1.8469099994932866e+08 2.0492833572290692e+08 2.2288374981657246e+08 2.3839198117099994e+08 2.5146921112384415e+08 2.6229983870094427e+08 2.7112098879083937e+08 2.7823654796724212e+08 2.8390874034414154e+08 2.8842089749760741e+08 2.9197805116676170e+08 2.9475460349470818e+08 2.9691426916309011e+08 2.9855081411786258e+08 2.9974205425146300e+08 3.0057000133747470e+08 3.0106348983277327e+08 3.0129643165227932e+08 3.0130851945479321e+08 3.0116004421336830e+08 3.0089188458781332e+08 3.0052670329241800e+08 3.0011873722486085e+08 2.9969623759060228e+08 2.9925176119174922e+08 2.9892241985935700e+08 2.9858503837867630e+08 2.9823870603994310e+08 2.9787517369240975e+08 2.9749991554813921e+08 2.9709896280298364e+08 2.9670253721998399e+08 2.9625096845609647e+08 2.9576775502455544e+08 2.9524402069989300e+08 2.9467283466760117e+08 2.9404577408653677e+08 2.9335335099895006e+08 2.9257859912272877e+08 2.9173973742658877e+08 2.9078145519178766e+08 2.8970715681190240e+08 2.8850126692129743e+08 2.8714702288536471e+08 2.8562713917305404e+08 2.8392427649428153e+08 2.8201604625356680e+08 2.7992107161724675e+08 2.7758011774257571e+08 2.7501084483377433e+08 2.7221919357961768e+08 2.6922705673751384e+08 2.6607168088858253e+08 2.6282395866939351e+08 2.5958642977138492e+08 2.5654661132641694e+08 2.5390112294122365e+08 2.5199906483921143e+08 2.5131152296314120e+08 2.5253302663605571e+08 2.5666456871940702e+08 2.6522363086754546e+08 2.8061037323686934e+08 3.0689692746837789e+08 3.6328305471640831e+08 +3.4635545181727805e+00 -1.0137146720295027e+08 -1.0134883451337862e+08 -1.0131231272848178e+08 -1.0126398822008888e+08 -1.0121363889495534e+08 -1.0117762666987415e+08 -1.0116360143052536e+08 -1.0115889638098302e+08 -1.0115002291441968e+08 -1.0113336278406930e+08 -1.0110940969218844e+08 -1.0107727918752527e+08 -1.0103534180078346e+08 -1.0098191676277746e+08 -1.0091521845892875e+08 -1.0083306416414343e+08 -1.0073282639055812e+08 -1.0061143829297918e+08 -1.0046528798154934e+08 -1.0029009519643146e+08 -1.0008080378072713e+08 -9.9831338114407673e+07 -9.9533260748402506e+07 -9.9172087552648410e+07 -9.8731932708012685e+07 -9.8204071334257767e+07 -9.7578261002494097e+07 -9.6838703318155229e+07 -9.5965695058013722e+07 -9.4935958158864468e+07 -9.3722193515508726e+07 -9.2292423624018148e+07 -9.0609227024251312e+07 -8.8628863016891107e+07 -8.6300294766742051e+07 -8.3564095485432371e+07 -8.0351289977823526e+07 -7.6582159710106105e+07 -7.2165124653977722e+07 -6.6995829096438870e+07 -6.0468544030866124e+07 -5.2774625252285294e+07 -4.3737548312841006e+07 -3.3172522699376419e+07 -2.0897381323715903e+07 -6.7499066887249276e+06 9.3872447402526084e+06 2.7554226727817789e+07 4.7677255480409451e+07 6.9532296231862724e+07 9.2712706815561742e+07 1.1666717587936369e+08 1.4074108254864025e+08 1.6417461334247077e+08 1.8626418113962996e+08 2.0644423917455411e+08 2.2433736404642805e+08 2.3978158894969016e+08 2.5279591525830883e+08 2.6356686463395080e+08 2.7233292353633153e+08 2.7939870365293407e+08 2.8502664805043900e+08 2.8950000145157105e+08 2.9302349747847915e+08 2.9577115018264085e+08 2.9790625820340180e+08 2.9952217402122188e+08 3.0069628539449704e+08 3.0151023373684573e+08 3.0199248888319188e+08 3.0221660486730880e+08 3.0222193240014154e+08 3.0206842322769564e+08 3.0179656522752398e+08 3.0142866813899750e+08 3.0101864447286129e+08 3.0059447629041886e+08 3.0014851465304536e+08 2.9981815108577943e+08 2.9947974688637716e+08 2.9913237509076810e+08 2.9876775555033147e+08 2.9839137632199383e+08 2.9798924148537129e+08 2.9759158540448827e+08 2.9713866738642526e+08 2.9665400986130506e+08 2.9612871000350630e+08 2.9555581622686779e+08 2.9492688045003659e+08 2.9423238628018820e+08 2.9345533199947333e+08 2.9261391471085042e+08 2.9165276478313082e+08 2.9057525103868216e+08 2.8936575143421829e+08 2.8800745310325235e+08 2.8648301871175188e+08 2.8477505700992858e+08 2.8286112715502012e+08 2.8075983455723828e+08 2.7841186971460843e+08 2.7583490162576425e+08 2.7303488878284496e+08 2.7003378953214335e+08 2.6686896205793759e+08 2.6361151142796683e+08 2.6036429824244681e+08 2.5731533397618300e+08 2.5466192187629691e+08 2.5275416765610471e+08 2.5206458212257469e+08 2.5328974943224952e+08 2.5743366824364755e+08 2.6601837417813691e+08 2.8145123974759245e+08 3.0781650525776458e+08 3.6298423119696629e+08 +3.4685228409470388e+00 -1.0007210274524221e+08 -1.0004963737909256e+08 -1.0001338815251701e+08 -9.9965406292057037e+07 -9.9915371385992914e+07 -9.9879500050630912e+07 -9.9865379887689441e+07 -9.9860452555163443e+07 -9.9851334241399646e+07 -9.9834422583748609e+07 -9.9810192542167574e+07 -9.9777752402065814e+07 -9.9735468862040713e+07 -9.9681654300751060e+07 -9.9614514082755879e+07 -9.9531855723002881e+07 -9.9431039720995262e+07 -9.9308984075603187e+07 -9.9162058949340075e+07 -9.8985963254870310e+07 -9.8775616603574261e+07 -9.8524915388808236e+07 -9.8225389027002528e+07 -9.7862498023498237e+07 -9.7420264787949070e+07 -9.6889907365723893e+07 -9.6261153248275205e+07 -9.5518145900216669e+07 -9.4641102459123999e+07 -9.3606652224959090e+07 -9.2387391168841362e+07 -9.0951224141541511e+07 -8.9260599057430595e+07 -8.7271631970970228e+07 -8.4933131358942911e+07 -8.2185507063963369e+07 -7.8959616374853015e+07 -7.5175576475711420e+07 -7.0741657136645809e+07 -6.5553382529249705e+07 -5.9003293678065553e+07 -5.1284096703622133e+07 -4.2219451935777061e+07 -3.1624984197444364e+07 -1.9319249061231136e+07 -5.1411355181364818e+06 1.1025152257047104e+07 2.9217770365572989e+07 4.9360567012007087e+07 7.1226960916170791e+07 9.4407926994590208e+07 1.1835036304422899e+08 1.4239887524874976e+08 1.6579416137736288e+08 1.8783441067859945e+08 2.0795690211195409e+08 2.2578752352745587e+08 2.4116759635896075e+08 2.5411893115141603e+08 2.6483015916801181e+08 2.7354111597724259e+08 2.8055712749852073e+08 2.8614084744872886e+08 2.9057542737134111e+08 2.9406529863408184e+08 2.9678408447940832e+08 2.9889466570332682e+08 3.0048998046934938e+08 3.0164698806162107e+08 3.0244695931848520e+08 3.0291799969607538e+08 3.0313330544361442e+08 3.0313188565470165e+08 3.0297335310596931e+08 3.0269780539123839e+08 3.0232719981535870e+08 3.0191512482438201e+08 3.0148929369649434e+08 3.0104185219125110e+08 3.0071047021700650e+08 3.0037104717236185e+08 3.0002263987629938e+08 2.9965693728811806e+08 2.9927944125267380e+08 2.9887612886289692e+08 2.9847724689345372e+08 2.9802298476782411e+08 2.9753688865713054e+08 2.9701002923682827e+08 2.9643543422798830e+08 2.9580463040542275e+08 2.9510807304970664e+08 2.9432872516990274e+08 2.9348476194695491e+08 2.9252075525696665e+08 2.9144003840324509e+08 2.9022694284175551e+08 2.8886460566656393e+08 2.8733563793720984e+08 2.8562259664251536e+08 2.8370298891884339e+08 2.8159540235221565e+08 2.7924045325524825e+08 2.7665581930625027e+08 2.7384747673275244e+08 2.7083744922029924e+08 2.6766320613139445e+08 2.6439606415514427e+08 2.6113920360373563e+08 2.5808112828750804e+08 2.5541982266334081e+08 2.5350639402922654e+08 2.5281477265348187e+08 2.5404358965015623e+08 2.5819983803655159e+08 2.6681009006584731e+08 2.8228890316891617e+08 3.0873258001842761e+08 3.6268371342444384e+08 +3.4734911637212971e+00 -9.8770013243057027e+07 -9.8747714131692991e+07 -9.8711738375381708e+07 -9.8664098812194020e+07 -9.8614379189098090e+07 -9.8578648946385130e+07 -9.8564434087571904e+07 -9.8559284708752751e+07 -9.8549921844265878e+07 -9.8532759068023965e+07 -9.8508252595320255e+07 -9.8475503465968505e+07 -9.8432874569141790e+07 -9.8378671459992170e+07 -9.8311090509445682e+07 -9.8227929510815263e+07 -9.8126536992162615e+07 -9.8003815848228052e+07 -9.7856118353775933e+07 -9.7679122666077092e+07 -9.7467724249915391e+07 -9.7215791612998098e+07 -9.6914821174305692e+07 -9.6550218307759598e+07 -9.6105913936013103e+07 -9.5573069200143769e+07 -9.4941381684765041e+07 -9.4194936986568719e+07 -9.3313872954552770e+07 -9.2274726673750147e+07 -9.1049989694185734e+07 -8.9607449821463272e+07 -8.7909425061732844e+07 -8.5911889081191063e+07 -8.3563496695704624e+07 -8.0804495607582182e+07 -7.7565577058954641e+07 -7.3766695703470021e+07 -6.9315973188979432e+07 -6.4108816022509344e+07 -5.7536047481055163e+07 -4.9791721556690179e+07 -4.0699687960359767e+07 -3.0075991821375150e+07 -1.7739916382765617e+07 -3.5314615943762232e+06 1.2663617623283196e+07 3.0881479322812367e+07 5.1043607381127156e+07 7.2920883022369191e+07 9.6101913259725779e+07 1.2003182514459436e+08 1.4405447479700348e+08 1.6741109367232889e+08 1.8940166508390665e+08 2.0946630363578320e+08 2.2723420980432096e+08 2.4254998714727554e+08 2.5543824446116799e+08 2.6608970956719792e+08 2.7474555469966722e+08 2.8171180916365767e+08 2.8725132906319207e+08 2.9164716647636616e+08 2.9510344641173476e+08 2.9779339861264378e+08 2.9987948425165260e+08 3.0145422634060496e+08 3.0259415536083865e+08 3.0338017137204123e+08 3.0384001570168757e+08 3.0404652691943133e+08 3.0403837283500850e+08 3.0387482752149117e+08 3.0359559879089200e+08 3.0322229205987090e+08 3.0280817203560215e+08 3.0238068357902169e+08 3.0193176758759135e+08 3.0159937104108465e+08 3.0125893303203517e+08 3.0090949419918132e+08 3.0054271271612799e+08 3.0016410415769017e+08 2.9975961876129895e+08 2.9935951552118731e+08 2.9890391444437921e+08 2.9841638526597923e+08 2.9788797226447517e+08 2.9731168254769689e+08 2.9667901784220350e+08 2.9598040521115035e+08 2.9519877255372268e+08 2.9435227307245612e+08 2.9338542057106489e+08 2.9230151288503903e+08 2.9108483514888811e+08 2.8971847460848850e+08 2.8818499091423458e+08 2.8646688949206859e+08 2.8454162568409914e+08 2.8242776918575305e+08 2.8006586259628254e+08 2.7747359216035265e+08 2.7465695177266067e+08 2.7163803020770240e+08 2.6845440757967931e+08 2.6517761138944414e+08 2.6191114046065992e+08 2.5884398892954996e+08 2.5617482002593490e+08 2.5425573872210258e+08 2.5356208933353105e+08 2.5479454204207131e+08 2.5896307276477480e+08 2.6759877301927990e+08 2.8312335766946697e+08 3.0964514537336761e+08 3.6238151084435600e+08 +3.4784594864955554e+00 -9.7465225197613120e+07 -9.7443094093519405e+07 -9.7407390219465435e+07 -9.7360094037311658e+07 -9.7310689988043264e+07 -9.7275101031778529e+07 -9.7260791724367082e+07 -9.7255420535197660e+07 -9.7245813425604776e+07 -9.7228399941262856e+07 -9.7203617563643023e+07 -9.7170560097501323e+07 -9.7127586647580758e+07 -9.7072995974636272e+07 -9.7004975483315468e+07 -9.6921313283580899e+07 -9.6819345973878473e+07 -9.6695961396355405e+07 -9.6547493999044612e+07 -9.6369601256366566e+07 -9.6157154571769670e+07 -9.5903994669138402e+07 -9.5601585107983440e+07 -9.5235276365856141e+07 -9.4788908163783595e+07 -9.4253584910698816e+07 -9.3618974457477733e+07 -9.2869104807443559e+07 -9.1984034873800367e+07 -9.0940209950145304e+07 -8.9710017670690060e+07 -8.8261129398599416e+07 -8.6555733952209190e+07 -8.4549663470506832e+07 -8.2191420138113186e+07 -7.9421090749526635e+07 -7.6169201971827090e+07 -7.2355547682402462e+07 -6.7888103487303883e+07 -6.2662160679455563e+07 -5.6066837042246707e+07 -4.8297531946719356e+07 -3.9178289072690822e+07 -2.8525578800806262e+07 -1.6159417017350515e+07 -1.9209190498416543e+06 1.4302606466315132e+07 3.2545319230056807e+07 5.2726342551318116e+07 7.4614029256712288e+07 9.7794633523322314e+07 1.2171153177116920e+08 1.4570785288511786e+08 1.6902538433354539e+08 1.9096592103971016e+08 2.1097242300947529e+08 2.2867740457898203e+08 2.4392874521300137e+08 2.5675384098833919e+08 2.6734550323087966e+08 2.7594622841795456e+08 2.8286273842968935e+08 2.8835808353542382e+08 2.9271521009922826e+08 2.9613793269887710e+08 2.9879908491520745e+08 3.0086070653977162e+08 3.0241490461343151e+08 3.0353778049944800e+08 3.0430986328521931e+08 3.0475853042782778e+08 3.0495626292826825e+08 3.0494138765341556e+08 3.0477284024198788e+08 3.0448993923311722e+08 3.0411393870536453e+08 3.0369777995706064e+08 3.0326863980167514e+08 3.0281825471659994e+08 3.0248484743989897e+08 3.0214339835448629e+08 3.0179293195527774e+08 3.0142507573737490e+08 3.0104535894831830e+08 3.0063970509999841e+08 3.0023838521548134e+08 2.9978145035269254e+08 2.9929249363441044e+08 2.9876253304406053e+08 2.9818455515488535e+08 2.9755003674252075e+08 2.9684937676084727e+08 2.9606546816271138e+08 2.9521644211670661e+08 2.9424675477405578e+08 2.9315966855503142e+08 2.9193942245124280e+08 2.9056905405166197e+08 2.8903107179697555e+08 2.8730792974771649e+08 2.8537703167884517e+08 2.8325692932858145e+08 2.8088809205682743e+08 2.7828821455991834e+08 2.7546330833127218e+08 2.7243552698382461e+08 2.6924256095752150e+08 2.6595614775140905e+08 2.6268010350007975e+08 2.5960391065154862e+08 2.5692690876791564e+08 2.5500219657724568e+08 2.5430652701901871e+08 2.5554260143916941e+08 2.5972336717451501e+08 2.6838441761011106e+08 2.8395459750573730e+08 3.1055419504177141e+08 3.6207763289063489e+08 +3.4834278092698137e+00 -9.6157766876116544e+07 -9.6135802030682504e+07 -9.6100372590888947e+07 -9.6053419925435364e+07 -9.6004331293853715e+07 -9.5968883957755044e+07 -9.5954480501954988e+07 -9.5948887733838439e+07 -9.5939036696395710e+07 -9.5921372917126700e+07 -9.5896315168290466e+07 -9.5862950023719475e+07 -9.5819632831669018e+07 -9.5764655587893292e+07 -9.5696196757451087e+07 -9.5612034806140989e+07 -9.5509494444593683e+07 -9.5385448514442474e+07 -9.5236213698079482e+07 -9.5057426860387087e+07 -9.4843935429188624e+07 -9.4589552447531313e+07 -9.4285708753867611e+07 -9.3917700165327147e+07 -9.3469275489973038e+07 -9.2931482577135608e+07 -9.2293959717967317e+07 -9.1540677598643631e+07 -9.0651616550834268e+07 -8.9603130502631456e+07 -8.8367503680283144e+07 -8.6912291609628826e+07 -8.5199554644250467e+07 -8.3184984260090098e+07 -8.0816931043695688e+07 -7.8035322116880089e+07 -7.4770521046369508e+07 -7.0942162689448595e+07 -6.6458078692107782e+07 -6.1213447582841694e+07 -5.4595693937993199e+07 -4.6801559975988880e+07 -3.7655287917824753e+07 -2.6973778315362416e+07 -1.4577784633335218e+07 -3.0954194417017186e+05 1.5942084499628155e+07 3.4209255818318881e+07 5.4408738601598300e+07 7.6306366455220670e+07 9.9486055840910584e+07 1.2338945266885453e+08 1.4735898136623114e+08 1.7063700763252470e+08 1.9252715539538774e+08 2.1247523965860397e+08 2.3011708971001953e+08 2.4530385460423216e+08 2.5806570667589840e+08 2.6859752769335598e+08 2.7714312597450197e+08 2.8400990520021957e+08 2.8946110162336385e+08 2.9377954968407041e+08 2.9716874949108487e+08 2.9980113582631463e+08 3.0183832536234957e+08 3.0337200836759353e+08 3.0447785678471601e+08 3.0523602854434860e+08 3.0567353749922884e+08 3.0586250719989324e+08 3.0584092391716117e+08 3.0566738513035423e+08 3.0538082061891311e+08 3.0500213367844182e+08 3.0458394253350323e+08 3.0415315632178098e+08 3.0370130754670632e+08 3.0336689338894022e+08 3.0302443712169111e+08 3.0267294713383251e+08 3.0230402034869385e+08 3.0192319962853092e+08 3.0151638189057255e+08 3.0111384999671435e+08 3.0065558652224141e+08 3.0016520780188012e+08 2.9963370562481230e+08 2.9905404611068743e+08 2.9841768117970508e+08 2.9771498178601599e+08 2.9692880609992075e+08 2.9607726319975805e+08 2.9510475200526774e+08 2.9401449957459342e+08 2.9279069893408233e+08 2.9141633820919693e+08 2.8987387482861257e+08 2.8814571168687105e+08 2.8620920121882129e+08 2.8408287713981450e+08 2.8170713604296398e+08 2.7909968096221888e+08 2.7626654092213440e+08 2.7322993412286401e+08 2.7002766090206283e+08 2.6673166794441339e+08 2.6344608748995924e+08 2.6036088828327721e+08 2.5767608377219081e+08 2.5574576251575935e+08 2.5504808064500809e+08 2.5628776275195813e+08 2.6048071609343579e+08 2.6916701849293762e+08 2.8478261702197862e+08 3.1145972283866912e+08 3.6177208898546916e+08 +3.4883961320440720e+00 -9.4847666348165751e+07 -9.4825868373878062e+07 -9.4790711684933662e+07 -9.4744103651217639e+07 -9.4695330826098025e+07 -9.4660025395181656e+07 -9.4645528131428912e+07 -9.4639714011393934e+07 -9.4629619375817776e+07 -9.4611705718009904e+07 -9.4586373138307601e+07 -9.4552700979784176e+07 -9.4509040863927424e+07 -9.4453678051125348e+07 -9.4384782092956752e+07 -9.4300121851379246e+07 -9.4197010190498754e+07 -9.4072305004530787e+07 -9.3922305271420255e+07 -9.3742627320239812e+07 -9.3528094689855173e+07 -9.3272492845523342e+07 -9.2967220044288725e+07 -9.2597517680617973e+07 -9.2147043939508975e+07 -9.1606790284747601e+07 -9.0966365623048484e+07 -9.0209683600442007e+07 -8.9316646323463589e+07 -8.8263516782929063e+07 -8.7022476306608200e+07 -8.5560965191648424e+07 -8.3840916052389979e+07 -8.1817880568796530e+07 -7.9440058765637010e+07 -7.6647219330025792e+07 -7.3369564205904856e+07 -6.9526570988659039e+07 -6.5025929447061688e+07 -5.9762707794214897e+07 -5.3122649717490360e+07 -4.5303837713036232e+07 -3.6130717099199779e+07 -2.5420623493660830e+07 -1.2995052837463222e+07 1.3026357366042258e+06 1.7582017523608789e+07 3.5873254919827349e+07 5.6090761726873070e+07 7.7997861584516466e+07 1.0117614841142316e+08 1.2506555773659275e+08 1.4900783225572902e+08 1.7224593800648937e+08 1.9408534516635209e+08 2.1397473317137408e+08 2.3155324721271613e+08 2.4667529951880872e+08 2.5937382760879213e+08 2.6984577062330139e+08 2.7833623633926278e+08 2.8515329950040388e+08 2.9056037420139873e+08 2.9484017678733671e+08 2.9819588889236307e+08 3.0079954388907582e+08 3.0281233361632693e+08 3.0432553078313172e+08 3.0541437762160081e+08 3.0615866073191553e+08 3.0658503063636631e+08 3.0676525355975306e+08 3.0673697552875543e+08 3.0655845614332551e+08 3.0626823694333369e+08 3.0588687099994934e+08 3.0546665380286467e+08 3.0503422719052923e+08 3.0458092013917881e+08 3.0424550295611751e+08 3.0390204340894240e+08 3.0354953381678838e+08 3.0317954063924503e+08 3.0279762029519069e+08 3.0238964323749435e+08 3.0198590397767144e+08 3.0152631707471716e+08 3.0103452189914811e+08 3.0050148414878261e+08 2.9992014956795520e+08 2.9928194531936163e+08 2.9857721446580428e+08 2.9778878055951369e+08 2.9693473053317362e+08 2.9595940649549115e+08 2.9486600019513643e+08 2.9363865887313813e+08 2.9226032138333130e+08 2.9071339434142435e+08 2.8898022967587936e+08 2.8703812870809346e+08 2.8490560706487209e+08 2.8252298904631895e+08 2.7990798591021866e+08 2.7706664414405674e+08 2.7402124628270578e+08 2.7080970213406086e+08 2.6750416675300235e+08 2.6420908727930093e+08 2.6111491673427001e+08 2.5842234000086641e+08 2.5648643153758249e+08 2.5578674522456336e+08 2.5703002096929654e+08 2.6123511442813960e+08 2.6994657040478683e+08 2.8560741064999098e+08 3.1236172267475837e+08 3.6146488853914469e+08 +3.4933644548183302e+00 -9.3534949281147987e+07 -9.3513319340363085e+07 -9.3478437206830472e+07 -9.3432172770186424e+07 -9.3383716398175657e+07 -9.3348553071206570e+07 -9.3333962328044742e+07 -9.3327927083460003e+07 -9.3317589189312428e+07 -9.3299426073966816e+07 -9.3273819210002258e+07 -9.3239840708150968e+07 -9.3195838494142011e+07 -9.3140091122469217e+07 -9.3070759258094966e+07 -9.2985602199169144e+07 -9.2881921004861638e+07 -9.2756558675334990e+07 -9.2605796546032369e+07 -9.2425230484583586e+07 -9.2209660227410808e+07 -9.1952843766502634e+07 -9.1646146917527497e+07 -9.1274756891349271e+07 -9.0822241542247176e+07 -9.0279536123813197e+07 -8.9636220333672926e+07 -8.8876151056701735e+07 -8.7979152532517552e+07 -8.6921397244481355e+07 -8.5674964134610295e+07 -8.4207178881538182e+07 -8.2479847089330003e+07 -8.0448381511875704e+07 -7.8060832651458398e+07 -7.5256812001482353e+07 -7.1966361363116980e+07 -6.8108802830321848e+07 -6.3591686378108002e+07 -5.8309972352904931e+07 -5.1647735902089670e+07 -4.3804397191705868e+07 -3.4604609177595347e+07 -2.3866147412482005e+07 -1.1411255174023630e+07 2.9155800809116121e+06 1.9222371426372375e+07 3.7537282468804814e+07 5.7772378238764361e+07 7.9688481742170289e+07 1.0286487957791208e+08 1.2673981702840070e+08 1.5065437773091450e+08 1.7385215005818725e+08 1.9564046753322279e+08 2.1547088329803231e+08 2.3298585925872770e+08 2.4804306430379850e+08 2.6067819001355216e+08 2.7109021982362610e+08 2.7952554860994267e+08 2.8629291147666794e+08 2.9165589225988793e+08 2.9589708307703799e+08 2.9921934311437517e+08 3.0179430175242233e+08 3.0378272430118471e+08 3.0527546514044362e+08 3.0634733651405257e+08 3.0707775352879363e+08 3.0749300365624136e+08 3.0766449592837691e+08 3.0762953648511434e+08 3.0744604733278722e+08 3.0715218229550064e+08 3.0676814478358793e+08 3.0634590789649433e+08 3.0591184655199695e+08 3.0545708664858997e+08 3.0512067030309051e+08 3.0477621138413066e+08 3.0442268617916888e+08 3.0405163079096699e+08 3.0366861513730562e+08 3.0325948333793366e+08 3.0285454136306196e+08 3.0239363622403473e+08 3.0190043014983845e+08 3.0136586284916496e+08 3.0078285977120078e+08 3.0014282341808760e+08 2.9943606907052195e+08 2.9864538582644576e+08 2.9778883841877425e+08 2.9681071256499898e+08 2.9571416475812906e+08 2.9448329663302213e+08 2.9310099796540415e+08 2.9154962475700754e+08 2.8981147816882861e+08 2.8786380863782614e+08 2.8572511363648915e+08 2.8333564564574343e+08 2.8071312403285831e+08 2.7786361267969936e+08 2.7480945820456594e+08 2.7158867945639330e+08 2.6827363904367775e+08 2.6496909779770681e+08 2.6186599099406302e+08 2.5916567249476933e+08 2.5722419872052547e+08 2.5652251584910831e+08 2.5776937115845516e+08 2.6198655716544464e+08 2.7072306816552496e+08 2.8642897290891820e+08 3.1326018855615902e+08 3.6115604094988775e+08 +3.4983327775925885e+00 -9.2219645568768531e+07 -9.2198183410413876e+07 -9.2163575069642648e+07 -9.2117655153503537e+07 -9.2069515675584808e+07 -9.2034494758087724e+07 -9.2019810810153410e+07 -9.2013554675753713e+07 -9.2002973868448988e+07 -9.1984561722011372e+07 -9.1958681125667468e+07 -9.1924396957265928e+07 -9.1880053478422537e+07 -9.1823922566622302e+07 -9.1754156027195454e+07 -9.1668503635314733e+07 -9.1564254686782733e+07 -9.1438237341722876e+07 -9.1286715354990363e+07 -9.1105264207656816e+07 -9.0888659921217471e+07 -9.0630633119116023e+07 -9.0322517316951290e+07 -8.9949445782064229e+07 -8.9494896332438260e+07 -8.8949748188201189e+07 -8.8303552014099121e+07 -8.7540108213973567e+07 -8.6639163520363986e+07 -8.5576800341823488e+07 -8.4324995748920947e+07 -8.2850961414979756e+07 -8.1116376665252998e+07 -7.9076516200485781e+07 -7.6679282042448118e+07 -7.3864129735031918e+07 -7.0560942419196665e+07 -6.6688888449751928e+07 -6.2155380092652351e+07 -5.6855272274952300e+07 -5.0170983984230213e+07 -4.2303270410054341e+07 -3.3076996670158736e+07 -2.2310383095793456e+07 -9.8264251239484306e+06 4.5292572524809036e+06 2.0863112184576549e+07 3.9201304502149701e+07 5.9453554566076659e+07 8.1378194157233626e+07 1.0455221782798058e+08 1.2841220075269157e+08 1.5229859013113102e+08 1.7545561855599719e+08 1.9719249984174594e+08 2.1696366995040607e+08 2.3441490817587203e+08 2.4940713345509923e+08 2.6197878025821239e+08 2.7233086323129076e+08 2.8071105201063186e+08 2.8742873139611733e+08 2.9274764690516812e+08 2.9695026033271849e+08 3.0023910447682077e+08 3.0278540216966546e+08 3.0474949051847965e+08 3.0622180481988490e+08 3.0727672706509233e+08 3.0799330071214318e+08 3.0839745047181445e+08 3.0856022832141864e+08 3.0851860087747669e+08 3.0833015284330606e+08 3.0803265085747373e+08 3.0764594923706603e+08 3.0722169903914511e+08 3.0678600864321327e+08 3.0632980132201630e+08 3.0599238968397534e+08 3.0564693530818719e+08 3.0529239848834950e+08 3.0492028507810879e+08 3.0453617843633980e+08 3.0412589648071033e+08 3.0371975645019853e+08 3.0325753827562177e+08 3.0276292686866808e+08 3.0222683605079257e+08 3.0164217105639338e+08 3.0100030982389331e+08 3.0029153996122825e+08 2.9949861627679038e+08 2.9863958124923426e+08 2.9765866462468779e+08 2.9655898769506812e+08 2.9532460666865242e+08 2.9393836243632114e+08 2.9238256058467138e+08 2.9063945170840836e+08 2.8868623558691829e+08 2.8654139147451133e+08 2.8414510050545311e+08 2.8151509004390419e+08 2.7865744129686707e+08 2.7559456471382099e+08 2.7236458775482678e+08 2.6904007976461869e+08 2.6572611405511171e+08 2.6261410613103583e+08 2.5990607637366301e+08 2.5795905922111923e+08 2.5725538768787691e+08 2.5850580846540856e+08 2.6273503937166953e+08 2.7149650667701197e+08 2.8724729840438908e+08 3.1415511458413851e+08 3.6084555560370868e+08 +3.5033011003668468e+00 -9.0901782148814902e+07 -9.0880488229458764e+07 -9.0846153758555263e+07 -9.0800578610814244e+07 -9.0752756310297504e+07 -9.0717878227653429e+07 -9.0703101300871268e+07 -9.0696624523016497e+07 -9.0685801149548799e+07 -9.0667140404832497e+07 -9.0640986632963076e+07 -9.0606397481116906e+07 -9.0561713577986181e+07 -9.0505200153384760e+07 -9.0435000180015638e+07 -9.0348853950883925e+07 -9.0244039040648460e+07 -9.0117368823392823e+07 -8.9965089535938963e+07 -8.9782756348384246e+07 -8.9565121654972970e+07 -8.9305888816363722e+07 -8.8996359189716443e+07 -8.8621612340985984e+07 -8.8165036348017037e+07 -8.7617454574912280e+07 -8.6968388831031770e+07 -8.6201583320535526e+07 -8.5296707630862549e+07 -8.4229754529772758e+07 -8.2972599733370453e+07 -8.1492341525566176e+07 -7.9750533686653540e+07 -7.7702313740173370e+07 -7.5295436272544995e+07 -7.2469202124739826e+07 -6.9153337262858108e+07 -6.5266858066629514e+07 -6.0717041178283110e+07 -5.5398638552275568e+07 -4.8692425426367186e+07 -4.0800489329668634e+07 -3.1547912049588867e+07 -2.0753363513864953e+07 -8.2405961039301781e+06 6.1436334911953378e+06 2.2504205864122521e+07 4.0865287160127163e+07 6.1134257255651355e+07 8.3066966190836981e+07 1.0623813179359712e+08 1.3008267927359672e+08 1.5394044195797282e+08 1.7705631843413410e+08 1.9874141960333663e+08 2.1845307320261061e+08 2.3584037644760174e+08 2.5076749161709854e+08 2.6327558485151309e+08 2.7356768891658765e+08 2.8189273589260399e+08 2.8856074964705068e+08 2.9383562935881972e+08 2.9799970044458431e+08 3.0125516540620846e+08 3.0377283799780697e+08 3.0571262547151119e+08 3.0716454330139476e+08 3.0820254297429931e+08 3.0890529615585357e+08 3.0929836509130204e+08 3.0945244484933579e+08 3.0940416289144623e+08 3.0921076691452014e+08 3.0890963690542156e+08 3.0852027866071165e+08 3.0809402154759163e+08 3.0765670779369324e+08 3.0719905849949217e+08 3.0686065544493836e+08 3.0651420953374428e+08 3.0615866510373169e+08 3.0578549786704594e+08 3.0540030456561762e+08 3.0498887704630280e+08 3.0458154362803221e+08 3.0411801762688279e+08 3.0362200646189845e+08 3.0308439816993761e+08 3.0249807785033798e+08 3.0185439897517556e+08 3.0114362158984333e+08 3.0034846637673217e+08 2.9948695350668764e+08 2.9850325717523849e+08 2.9740046352694809e+08 2.9616258352351177e+08 2.9477240936490721e+08 2.9321219642240947e+08 2.9146414492452490e+08 2.8950540422151822e+08 2.8735443528476369e+08 2.8495134837637305e+08 2.8231387874233764e+08 2.7944812484719437e+08 2.7637656071855390e+08 2.7313742199702638e+08 2.6980348394486088e+08 2.6648013114200658e+08 2.6335925729401752e+08 2.6064354683568138e+08 2.5869100827325043e+08 2.5798535598787618e+08 2.5923932811404791e+08 2.6348055619294262e+08 2.7226688092298448e+08 2.8806238182917678e+08 3.1504649495462501e+08 3.6053344187424666e+08 +3.5082694231411051e+00 -8.9581387000178784e+07 -8.9560260840488970e+07 -8.9526201081388563e+07 -8.9480971041806325e+07 -8.9433466053972930e+07 -8.9398731224713862e+07 -8.9383861530371636e+07 -8.9377164367562890e+07 -8.9366098773423225e+07 -8.9347189869600162e+07 -8.9320763483674541e+07 -8.9285870038112670e+07 -8.9240846558783263e+07 -8.9183951656884030e+07 -8.9113319500469252e+07 -8.9026680941349521e+07 -8.8921301874811858e+07 -8.8793980944125742e+07 -8.8640946930620193e+07 -8.8457734769435823e+07 -8.8239073316055939e+07 -8.7978638774635866e+07 -8.7667700486381903e+07 -8.7291284558989614e+07 -8.6832689628879681e+07 -8.6282683382777750e+07 -8.5630758952515900e+07 -8.4860604625545382e+07 -8.3951813207563519e+07 -8.2880288262067571e+07 -8.1617804669917017e+07 -8.0131347943720713e+07 -7.8382347055639938e+07 -7.6325803230529115e+07 -7.3909324667483881e+07 -7.1072058754186407e+07 -6.7743575769435003e+07 -6.3842741883855350e+07 -5.9276700202267356e+07 -5.3940102151793502e+07 -4.7212091660232447e+07 -3.9296085874482132e+07 -3.0017387743100442e+07 -1.9195121582395215e+07 -6.6538014655499505e+06 7.7586751138981059e+06 2.4145618621034753e+07 4.2529196687174216e+07 6.2814452972715802e+07 8.4754765336536810e+07 1.0792259025244564e+08 1.3175122311008164e+08 1.5557990587560767e+08 1.7865422479194984e+08 2.0028720449440148e+08 2.1993907328947690e+08 2.3726224671322295e+08 2.5212412358306858e+08 2.6456859044298077e+08 2.7480068508334786e+08 2.8307058973331481e+08 2.8968895673774320e+08 2.9491983095761406e+08 2.9904539541371757e+08 3.0226751843712431e+08 3.0475660219890153e+08 3.0667212246520543e+08 3.0810367416451919e+08 3.0912477804034412e+08 3.0981373383036488e+08 3.1019574161837685e+08 3.1034113971687448e+08 3.1028621680613875e+08 3.1008788387789226e+08 3.0978313480754155e+08 3.0939112744769210e+08 3.0896286983192301e+08 3.0852393842568874e+08 3.0806485261303324e+08 3.0772546202444947e+08 3.0737802850578654e+08 3.0702148047650629e+08 3.0664726361601990e+08 3.0626098799030381e+08 3.0584841950728261e+08 3.0543989737623370e+08 3.0497506876631260e+08 3.0447766342717010e+08 3.0393854371376669e+08 3.0335057467081964e+08 3.0270508540162605e+08 3.0199230849827325e+08 3.0119493068266457e+08 3.0033094976392931e+08 2.9934448480678928e+08 2.9823858686402541e+08 2.9699722183024508e+08 2.9560313340916568e+08 2.9403852695635724e+08 2.9228555253505307e+08 2.9032130929492575e+08 2.8816423985979491e+08 2.8575438409365559e+08 2.8310948501164079e+08 2.8023565826617360e+08 2.7715544120971376e+08 2.7390717723293209e+08 2.7056384669473362e+08 2.6723114422833854e+08 2.6410143970981467e+08 2.6137807915744773e+08 2.5942004118865168e+08 2.5871241607339916e+08 2.5996992540571907e+08 2.6422310285355052e+08 2.7303418596912074e+08 2.8887421796239728e+08 3.1593432395871198e+08 3.6021970912261754e+08 +3.5132377459153634e+00 -8.8258488545264602e+07 -8.8237529493374124e+07 -8.8203743979963139e+07 -8.8158859867379725e+07 -8.8111672579050824e+07 -8.8077081473355666e+07 -8.8062119235149473e+07 -8.8055201955608666e+07 -8.8043894484311223e+07 -8.8024737867434397e+07 -8.7998039433102429e+07 -8.7962842390047893e+07 -8.7917480190154761e+07 -8.7860204854893878e+07 -8.7789141775985017e+07 -8.7702012405286252e+07 -8.7596071001033455e+07 -8.7468101530902311e+07 -8.7314315383744732e+07 -8.7130227336490765e+07 -8.6910542794533789e+07 -8.6648910912749916e+07 -8.6336569159627140e+07 -8.5958490429220930e+07 -8.5497884216758609e+07 -8.4945462711865619e+07 -8.4290690547333971e+07 -8.3517200378015533e+07 -8.2604508593442023e+07 -8.1528429990999714e+07 -8.0260639137915581e+07 -7.8768009395887330e+07 -7.7011845668690473e+07 -7.4947013763848633e+07 -7.2520976543836251e+07 -6.9672729195311129e+07 -6.6331687799847625e+07 -6.2416570086889341e+07 -5.7834387710195251e+07 -5.2479694014352307e+07 -4.5730014085946530e+07 -3.7790091930096388e+07 -2.8485456131652121e+07 -1.7635690161617413e+07 -5.0660744944400117e+06 9.3743485152342748e+06 2.5787316702157762e+07 4.4192999432417214e+07 6.4494108501743436e+07 8.6441559221029446e+07 1.0960556212718068e+08 1.3341780293716720e+08 1.5721695471040648e+08 1.8024931289502507e+08 2.0182983235643402e+08 2.2142165060788560e+08 2.3868050176703909e+08 2.5347701429393989e+08 2.6585778382263976e+08 2.7602984006767994e+08 2.8424460313650364e+08 2.9081334329675663e+08 2.9600024315344024e+08 3.0008733735185140e+08 3.0327615620931286e+08 3.0573668783777058e+08 3.0762797490527034e+08 3.0903919108799565e+08 3.1004342615868127e+08 3.1071860780217856e+08 3.1108957425194955e+08 3.1122630722293746e+08 3.1116475699471420e+08 3.1096149815918934e+08 3.1065313902560008e+08 3.1025849008360481e+08 3.0982823839445591e+08 3.0938769505322385e+08 3.0892717818629128e+08 3.0858680395295972e+08 3.0823838676107848e+08 3.0788083914984691e+08 3.0750557687442154e+08 3.0711822326705456e+08 3.0670451842728883e+08 3.0629481226622659e+08 3.0582868627331311e+08 3.0532989235269445e+08 3.0478926728013563e+08 3.0419965612613648e+08 3.0355236372288895e+08 3.0283759531939608e+08 3.0203800384101850e+08 3.0117156468298692e+08 3.0018234219904715e+08 2.9907335240501904e+08 2.9782851631059116e+08 2.9643052931505036e+08 2.9486154696026945e+08 2.9310366934454376e+08 2.9113394564619374e+08 2.8897080007787967e+08 2.8655420257888663e+08 2.8390190381979775e+08 2.8102003657291013e+08 2.7793120126151311e+08 2.7467384859402853e+08 2.7132116320515198e+08 2.6797914856456041e+08 2.6484064868454289e+08 2.6210966869298649e+08 2.6014615335687885e+08 2.5943656334613219e+08 2.6069759571977866e+08 2.6496267465739173e+08 2.7379841696253943e+08 2.8968280166969663e+08 3.1681859598089296e+08 3.5990436669726008e+08 +3.5182060686896217e+00 -8.6933113072614849e+07 -8.6912322485062167e+07 -8.6878811812820971e+07 -8.6834272888927117e+07 -8.6787403695867226e+07 -8.6752956683321893e+07 -8.6737902154128522e+07 -8.6730765034870416e+07 -8.6719216029371396e+07 -8.6699812151811525e+07 -8.6672842239027083e+07 -8.6637342301637858e+07 -8.6591642244308293e+07 -8.6533987527693063e+07 -8.6462494796667367e+07 -8.6374876144074455e+07 -8.6268374233444870e+07 -8.6139758412923381e+07 -8.5985222742222309e+07 -8.5800261917102426e+07 -8.5579557982340038e+07 -8.5316733151121289e+07 -8.5002993163432777e+07 -8.4623257945494965e+07 -8.4160648154012904e+07 -8.3605820662325904e+07 -8.2948211783764511e+07 -8.2171398826060712e+07 -8.1254822129563883e+07 -8.0174208166117162e+07 -7.8901131712839022e+07 -7.7402354603827223e+07 -7.5639058416159391e+07 -7.3565974424428955e+07 -7.1130421208078071e+07 -6.8271243007682323e+07 -6.4917703199949041e+07 -6.0988372842462733e+07 -5.6390134225376911e+07 -5.1017445053968646e+07 -4.4246224070855439e+07 -3.6282539342662655e+07 -2.6952149548903119e+07 -1.6075102055397632e+07 -3.4774484094238705e+06 1.0990620168455759e+07 2.7429266445947301e+07 4.5856661850573890e+07 6.6173190746826917e+07 8.8127315604525372e+07 1.1128701648690119e+08 1.3508238958557805e+08 1.5885156145137414e+08 1.8184155817386746e+08 2.0336928119530940e+08 2.2290078571529299e+08 2.4009512455857417e+08 2.5482614883820698e+08 2.6714315192057136e+08 2.7725514233897775e+08 2.8541476583135164e+08 2.9193390007217133e+08 2.9707685751205802e+08 3.0112551848057306e+08 3.0428107147081363e+08 3.0671308808325565e+08 3.0858017629876000e+08 3.0997108784917712e+08 3.1095848132193190e+08 3.1161991223382407e+08 3.1197985728548288e+08 3.1210794176107126e+08 3.1203977792332458e+08 3.1183160427646399e+08 3.1151964411341274e+08 3.1112236114652634e+08 3.1069012182915038e+08 3.1024797228267992e+08 3.0978602983518499e+08 3.0944467585233748e+08 3.0909527892771477e+08 3.0873673575822794e+08 3.0836043228328907e+08 3.0797200504330289e+08 3.0755716846103400e+08 3.0714628296025354e+08 3.0667886481842333e+08 3.0617868791739881e+08 3.0563656355749589e+08 3.0504531691499555e+08 3.0439622864865863e+08 3.0367947677497268e+08 3.0287768058780134e+08 3.0200879301530904e+08 3.0101682412063336e+08 2.9990475493869543e+08 2.9865646177336103e+08 2.9725459191641855e+08 2.9568125129544020e+08 2.9391849024545974e+08 2.9194330820169109e+08 2.8977411090319413e+08 2.8735079883816886e+08 2.8469113021967977e+08 2.8180125487035358e+08 2.7870383602999771e+08 2.7543743129368776e+08 2.7207542874789196e+08 2.6872413948013699e+08 2.6557687960282657e+08 2.6283831087481472e+08 2.6086934024383920e+08 2.6015779328458562e+08 2.6142233451288190e+08 2.6569926698679054e+08 2.7455956913141739e+08 2.9048812790208107e+08 3.1769930550037354e+08 3.5958742393378621e+08 +3.5231743914638800e+00 -8.5605288727912858e+07 -8.5584666378325984e+07 -8.5551431001027212e+07 -8.5507238325100794e+07 -8.5460687312623113e+07 -8.5426384557939708e+07 -8.5411238025022030e+07 -8.5403881352098063e+07 -8.5392091157692775e+07 -8.5372440478163913e+07 -8.5345199660993934e+07 -8.5309397539247319e+07 -8.5263360494942963e+07 -8.5205327457501948e+07 -8.5133406354178384e+07 -8.5045299960365981e+07 -8.4938239387730926e+07 -8.4808979420781389e+07 -8.4653696854197040e+07 -8.4467866380049050e+07 -8.4246146772248134e+07 -8.3982133410867408e+07 -8.3667000452277169e+07 -8.3285615102028117e+07 -8.2821009482598618e+07 -8.2263785333699659e+07 -8.1603350828883961e+07 -8.0823228215863451e+07 -7.9902782154531270e+07 -7.8817651233522162e+07 -7.7539310965787143e+07 -7.6034412283149838e+07 -7.4264014181067973e+07 -7.2182714287663355e+07 -6.9737687955750778e+07 -6.6867629737480156e+07 -6.3501651799237885e+07 -5.9558180298027106e+07 -5.4943970247893713e+07 -4.9553386156750418e+07 -4.2760752948833577e+07 -3.4773459918160349e+07 -2.5417500280481309e+07 -1.4513390010396115e+07 -1.8879563616515852e+06 1.2607456626233777e+07 2.9071434283225574e+07 4.7520150502516292e+07 6.7851666732480109e+07 8.9812002381164372e+07 1.1296692254649471e+08 1.3674495404201415e+08 1.6048369925040337e+08 1.8343093622488645e+08 2.0490552918220881e+08 2.2437645933032560e+08 2.4150609819227627e+08 2.5617151245236912e+08 2.6842468180636045e+08 2.7847658049858946e+08 2.8658106767257988e+08 2.9305061793122983e+08 2.9814966571414965e+08 3.0215993113146198e+08 3.0528225707423735e+08 3.0768579620680451e+08 3.0952872025290895e+08 3.1089935832380384e+08 3.1186993761971205e+08 3.1251764138311619e+08 3.1286658510731101e+08 3.1298603781780434e+08 3.1291127415117425e+08 3.1269819684059739e+08 3.1238264471733695e+08 3.1198273530617499e+08 3.1154851482204074e+08 3.1110476481095034e+08 3.1064140226667774e+08 3.1029907243601185e+08 3.0994869972504711e+08 3.0958916502702242e+08 3.0921182457460928e+08 3.0882232805769676e+08 3.0840636435404712e+08 3.0799430421132529e+08 3.0752559916213459e+08 3.0702404489050114e+08 3.0648042732418412e+08 3.0588755182598299e+08 3.0523667497896838e+08 3.0451794767711776e+08 3.0371395574838144e+08 3.0284262960165107e+08 3.0184792542937988e+08 3.0073278934103864e+08 2.9948105311697680e+08 2.9807531613531983e+08 2.9649763491069561e+08 2.9473001021600652e+08 2.9274939197359473e+08 2.9057416738545686e+08 2.8814416796265638e+08 2.8547715934740603e+08 2.8257930834373868e+08 2.7947334075408846e+08 2.7619792062625974e+08 2.7282663867454588e+08 2.6946611238379854e+08 2.6631012792789108e+08 2.6356400121264422e+08 2.6158959739323717e+08 2.6087610144424552e+08 2.6214413731862220e+08 2.6643287530226663e+08 2.7531763778544128e+08 2.9129019169686919e+08 3.1857644709029818e+08 3.5926889015483266e+08 +3.5281427142381383e+00 -8.4275043996801272e+07 -8.4254590020494968e+07 -8.4221629778905764e+07 -8.4177783269093767e+07 -8.4131551065237939e+07 -8.4097392809577852e+07 -8.4082154585246548e+07 -8.4074578652601615e+07 -8.4062547619557813e+07 -8.4042650602741525e+07 -8.4015139459463924e+07 -8.3979035870362714e+07 -8.3932662716841727e+07 -8.3874252426851794e+07 -8.3801904240972742e+07 -8.3713311657539293e+07 -8.3605694279973328e+07 -8.3475792385613009e+07 -8.3319765568146229e+07 -8.3133068594086751e+07 -8.2910337057006940e+07 -8.2645139612998590e+07 -8.2328618980156675e+07 -8.1945589892072529e+07 -8.1478996243570015e+07 -8.0919384823846892e+07 -8.0256135847763360e+07 -7.9472716790937528e+07 -7.8548417003398314e+07 -7.7458787634851038e+07 -7.6175205462306157e+07 -7.4664211143096462e+07 -7.2886741838215083e+07 -7.0797262418964326e+07 -6.8342806070475549e+07 -6.5461918916575901e+07 -6.2083563410320595e+07 -5.8126022580491118e+07 -5.3495926253446490e+07 -4.8087548180116341e+07 -4.1273632019286253e+07 -3.3262885421345577e+07 -2.3881540562923506e+07 -1.2950586715150002e+07 -2.9763143377028155e+05 1.4224824521444473e+07 3.0713786737910382e+07 4.9183432055954136e+07 6.9529503603998289e+07 9.1495587579589278e+07 1.1464524966786906e+08 1.3840546744972530e+08 1.6211334142180568e+08 1.8501742280961794e+08 2.0643855465274322e+08 2.2584865233181068e+08 2.4291340592677411e+08 2.5751309051945075e+08 2.6970236068908983e+08 2.7969414327984083e+08 2.8774349864031053e+08 2.9416348786064732e+08 2.9921865955368674e+08 3.0319056774567270e+08 3.0627970597925299e+08 3.0865480558317751e+08 3.1047360047545302e+08 3.1182399648674875e+08 3.1277778923867226e+08 3.1341178960346615e+08 3.1374975219917923e+08 3.1386058997313523e+08 3.1377924033040446e+08 3.1356127055440867e+08 3.1324213557551950e+08 3.1283960732420778e+08 3.1240341215026861e+08 3.1195806742768472e+08 3.1149329027908558e+08 3.1114998850835067e+08 3.1079864396356225e+08 3.1043812177276099e+08 3.1005974857101840e+08 3.0966918713922650e+08 3.0925210094194406e+08 3.0883887086251622e+08 3.0836888415572333e+08 3.0786595813164133e+08 3.0732085344879037e+08 3.0672635573719627e+08 3.0607369760279065e+08 3.0535300292699003e+08 3.0454682423706806e+08 3.0367306937141609e+08 3.0267564107099646e+08 3.0155745057704520e+08 3.0030228532675058e+08 2.9889269698051500e+08 2.9731069284117275e+08 2.9553822432149047e+08 2.9355219206016487e+08 2.9137096465953606e+08 2.8893430512785071e+08 2.8625998642314643e+08 2.8335419226234001e+08 2.8023971075449699e+08 2.7695531196713823e+08 2.7357478841706049e+08 2.7020506276388979e+08 2.6704038920067057e+08 2.6428673529361904e+08 2.6230692042517057e+08 2.6159148345709866e+08 2.6286299974788937e+08 2.6716349514319205e+08 2.7607261831462383e+08 2.9208898817661923e+08 3.1945001541627663e+08 3.5894877466991132e+08 +3.5331110370123966e+00 -8.2942406411714137e+07 -8.2922120365116566e+07 -8.2889434976415083e+07 -8.2845935572173670e+07 -8.2800022574962869e+07 -8.2766009173335776e+07 -8.2750679575358137e+07 -8.2742884680365801e+07 -8.2730613165515080e+07 -8.2710470281685710e+07 -8.2682689394933924e+07 -8.2646285062325045e+07 -8.2599576684618086e+07 -8.2540790218693659e+07 -8.2468016249378264e+07 -8.2378939038936466e+07 -8.2270766726114482e+07 -8.2140225138071999e+07 -8.1983456732032910e+07 -8.1795896427565336e+07 -8.1572156728616238e+07 -8.1305779677277222e+07 -8.0987876699701935e+07 -8.0603210307330161e+07 -8.0134636475653544e+07 -7.9572647228098631e+07 -7.8906595002317473e+07 -7.8119892790913180e+07 -7.7191755006618679e+07 -7.6097645806470037e+07 -7.4808843761608928e+07 -7.3291779885207877e+07 -7.1507270253395706e+07 -6.9409647873008072e+07 -6.6945804823051959e+07 -6.4054140061721265e+07 -6.0663467827753969e+07 -5.6691929795664370e+07 -5.2046032692707822e+07 -4.6619961951804876e+07 -3.9784892546323702e+07 -3.1750847574956592e+07 -2.2344302582935594e+07 -1.1386724799258886e+07 1.2934933609067397e+06 1.5842690567999259e+07 3.2356290427753519e+07 5.0846473286070071e+07 7.1206668628187627e+07 9.3178039363475859e+07 1.1632196735952412e+08 1.4006390110830602e+08 1.6374046144285119e+08 1.8660099385549384e+08 2.0796833610683784e+08 2.2731734575945348e+08 2.4431703117498997e+08 2.5885086856965706e+08 2.7097617591688532e+08 2.8090781954743207e+08 2.8890204883865035e+08 2.9527250096583557e+08 3.0028383093871206e+08 3.0421742087315130e+08 3.0727341125035584e+08 3.0962010968951583e+08 3.1141481077487808e+08 3.1274499640998405e+08 3.1368203046136326e+08 3.1430235134256971e+08 3.1462935313803387e+08 3.1473159290024310e+08 3.1464367120545882e+08 3.1442082021303397e+08 3.1409811151771367e+08 3.1369297205298030e+08 3.1325480868250769e+08 3.1280787501270056e+08 3.1234168876140302e+08 3.1199741896433640e+08 3.1164510654402512e+08 3.1128360090239066e+08 3.1090419918563211e+08 3.1051257720774591e+08 3.1009437315113747e+08 3.0967997784731150e+08 3.0920871474024230e+08 3.0870442259011769e+08 3.0815783688955277e+08 3.0756172361683667e+08 3.0690729149873626e+08 3.0618463751516205e+08 3.0537628105782878e+08 3.0450010734284186e+08 3.0349996608053702e+08 3.0237873369947529e+08 3.0112015347654736e+08 2.9970672954885697e+08 2.9812042020957106e+08 2.9634312771320772e+08 2.9435170364511061e+08 2.9216449794537705e+08 2.8972120559367651e+08 2.8703960675088215e+08 2.8412590197714686e+08 2.8100294143352276e+08 2.7770960077268046e+08 2.7431987348724782e+08 2.7094098618694025e+08 2.6776765904044172e+08 2.6500650878190860e+08 2.6302130503637642e+08 2.6230393503148830e+08 2.6357891748800245e+08 2.6789112212597227e+08 2.7682450618972516e+08 2.9288451254924750e+08 3.2032000523815036e+08 3.5862708677526319e+08 +3.5380793597866549e+00 -8.1607403195614040e+07 -8.1587285613871232e+07 -8.1554875893219292e+07 -8.1511723085668549e+07 -8.1466129681657538e+07 -8.1432261415963545e+07 -8.1416840740832940e+07 -8.1408827178670630e+07 -8.1396315545554116e+07 -8.1375927270397961e+07 -8.1347877227153271e+07 -8.1311172881855041e+07 -8.1264130172085136e+07 -8.1204968614859238e+07 -8.1131770170773119e+07 -8.1042209906688213e+07 -8.0933484540866509e+07 -8.0802305507582694e+07 -8.0644798192323819e+07 -8.0456377746966824e+07 -8.0231633677170560e+07 -7.9964081521608397e+07 -7.9644801561276466e+07 -7.9258504336928442e+07 -7.8787958214979440e+07 -7.8223600638686687e+07 -7.7554756450435027e+07 -7.6764784451056659e+07 -7.5832824489603162e+07 -7.4734254178582966e+07 -7.3440254415681615e+07 -7.1917147202516302e+07 -7.0125628282535031e+07 -6.8019899692874745e+07 -6.5546713470662385e+07 -6.2644322673584074e+07 -5.9241394827150963e+07 -5.5255932027211189e+07 -5.0594319990251608e+07 -4.5150658269095965e+07 -3.8294565757714592e+07 -3.0237378058764197e+07 -2.0805818476453587e+07 -9.8218368324883170e+06 2.8853850792249576e+06 1.7461021561568912e+07 3.3998912065087073e+07 5.2509241076223709e+07 7.2883129193919823e+07 9.4859326031718850e+07 1.1799704527749486e+08 1.4172022647406432e+08 1.6536503295374793e+08 1.8818162545484972e+08 2.0949485220857790e+08 2.2878252081296080e+08 2.4571695750387192e+08 2.6018483227959204e+08 2.7224611497670954e+08 2.8211759829760212e+08 2.9005670849703604e+08 2.9637764847035754e+08 3.0134517189027435e+08 3.0524048317330241e+08 3.0826336605748117e+08 3.1058170210515958e+08 3.1235234505816448e+08 3.1366235226367456e+08 3.1458265566627073e+08 3.1518932114402628e+08 3.1550538259332234e+08 3.1559904136585069e+08 3.1550456161299825e+08 3.1527684070343614e+08 3.1495056746494317e+08 3.1454282443744242e+08 3.1410269937847084e+08 3.1365418253648114e+08 3.1318659269371200e+08 3.1284135878969646e+08 3.1248808245794976e+08 3.1212559741329890e+08 3.1174517142212236e+08 3.1135249327263606e+08 3.1093317599801576e+08 3.1051762018890560e+08 3.1004508594644803e+08 3.0953943330480021e+08 3.0899137269409400e+08 3.0839365052212888e+08 3.0773745173446888e+08 3.0701284652065957e+08 3.0620232130222678e+08 3.0532373862226403e+08 3.0432089557975018e+08 3.0319663384870744e+08 3.0193465272637558e+08 3.0051740902362108e+08 2.9892681222438151e+08 2.9714471562882769e+08 2.9514792199745601e+08 2.9295476254783928e+08 2.9050486470398384e+08 2.8781601571761596e+08 2.8489443292204911e+08 2.8176302827533096e+08 2.7846078257970673e+08 2.7506188947629189e+08 2.7167387829868180e+08 2.6849193314414817e+08 2.6572331741894025e+08 2.6373274699986055e+08 2.6301345195168331e+08 2.6429188630286166e+08 2.6861575194549638e+08 2.7757329696183497e+08 2.9367676010725784e+08 3.2118641140833408e+08 3.5830383575371325e+08 +3.5430476825609132e+00 -8.0270061942590460e+07 -8.0250113587697610e+07 -8.0217979971138567e+07 -8.0175173963252544e+07 -8.0129900140670583e+07 -8.0096177323180825e+07 -8.0080665829364777e+07 -8.0072433890571043e+07 -8.0059682508298084e+07 -8.0039049322594509e+07 -8.0010730714278489e+07 -7.9973727093751669e+07 -7.9926350951248005e+07 -7.9866815395317763e+07 -7.9793193794607848e+07 -7.9703152060962394e+07 -7.9593875536941364e+07 -7.9462061321296200e+07 -7.9303817793357939e+07 -7.9114540416577101e+07 -7.8888795790265590e+07 -7.8620073060979113e+07 -7.8299421512357563e+07 -7.7911499966583371e+07 -7.7438989493661165e+07 -7.6872273143160939e+07 -7.6200648345484570e+07 -7.5407420001152784e+07 -7.4471653771317810e+07 -7.3368641174097404e+07 -7.2069465968297273e+07 -7.0540341778597921e+07 -6.8741844770669341e+07 -6.6628046909025647e+07 -6.4145561255823359e+07 -6.1232496235854156e+07 -5.7817374164463833e+07 -5.3818059335549608e+07 -4.9140818543858491e+07 -4.3679667897694066e+07 -3.6802682844205931e+07 -2.8722508508772854e+07 -1.9266120327788018e+07 -8.2559553239699099e+06 4.4780108490178091e+06 1.9079784380432118e+07 3.5641618457536608e+07 5.4171702418667234e+07 7.4558852812632367e+07 9.6539416019139484e+07 1.1967045322533400e+08 1.4337441516035521e+08 1.6698702975747752e+08 1.8975929386558649e+08 2.1101808178655183e+08 2.3024415885153821e+08 2.4711316863392618e+08 2.6151496747212777e+08 2.7351216549386579e+08 2.8332346865714991e+08 2.9120746796814895e+08 2.9747892171622610e+08 3.0240267454212594e+08 3.0625974741390502e+08 3.0924956367526466e+08 3.1153957651133573e+08 3.1328619733265722e+08 3.1457605831525409e+08 3.1547965932811350e+08 3.1607269364473838e+08 3.1637783532874954e+08 3.1646293022801012e+08 3.1636190648207134e+08 3.1612932700354952e+08 3.1579949842971784e+08 3.1538915951201183e+08 3.1494707928832990e+08 3.1449698506060159e+08 3.1402799714586979e+08 3.1368180306058812e+08 3.1332756678716820e+08 3.1296410639261854e+08 3.1258266037331253e+08 3.1218893043350172e+08 3.1176850458793867e+08 3.1135179300012982e+08 3.1087799289445543e+08 3.1037098540358639e+08 3.0982145599912339e+08 3.0922213159885806e+08 3.0856417346631217e+08 3.0783762511119735e+08 3.0702494015069252e+08 3.0614395840454352e+08 3.0513842477963424e+08 3.0401114625284070e+08 3.0274577832463193e+08 3.0132473067466241e+08 2.9972986418105644e+08 2.9794298339097673e+08 2.9594084247168195e+08 2.9374175385589528e+08 2.9128527788656479e+08 2.8858920879311699e+08 2.8565978061289924e+08 2.8251996684486866e+08 2.7920885300541830e+08 2.7580083205501539e+08 2.7240373482280546e+08 2.6921320728591764e+08 2.6643715702230886e+08 2.6444124216471902e+08 2.6372003007792994e+08 2.6500190203243053e+08 2.6933738037371123e+08 2.7831898626206601e+08 2.9446572622850138e+08 3.2204922887183142e+08 3.5797903087452734e+08 +3.5480160053351715e+00 -7.8930412173907131e+07 -7.8910631772503912e+07 -7.8878774038146898e+07 -7.8836315445840225e+07 -7.8791361636934102e+07 -7.8757784664220080e+07 -7.8742182585559428e+07 -7.8733732558219016e+07 -7.8720741800059989e+07 -7.8699864189349711e+07 -7.8671277612129778e+07 -7.8633975460400745e+07 -7.8586266791529000e+07 -7.8526358337459490e+07 -7.8452314907577768e+07 -7.8361793299106553e+07 -7.8251967524003595e+07 -7.8119520403448001e+07 -7.7960543376113370e+07 -7.7770412297111645e+07 -7.7543670952041849e+07 -7.7273782206607029e+07 -7.6951764496100381e+07 -7.6562225177749515e+07 -7.6087758339100346e+07 -7.5518692824255526e+07 -7.4844298834897876e+07 -7.4047827664565340e+07 -7.3108271163797408e+07 -7.2000835208238050e+07 -7.0696506954234302e+07 -6.9161392286873817e+07 -6.7355948551035851e+07 -6.5234118538437098e+07 -6.2742377405667186e+07 -5.9818690214351073e+07 -5.6391435574904606e+07 -5.2378341757307172e+07 -4.7685558723398760e+07 -4.2207021571116745e+07 -3.5309274958498687e+07 -2.7206270516237166e+07 -1.7725240168739915e+07 -6.6891127213214049e+06 6.0713378699056748e+06 2.0698945986203458e+07 3.7284376508741297e+07 5.5833824415007681e+07 7.6233807119022444e+07 9.8218277896879628e+07 1.2134216115451629e+08 1.4502643893749744e+08 1.6860642582031745e+08 1.9133397551079467e+08 2.1253800383294180e+08 2.3170224139495897e+08 2.4850564843881217e+08 2.6284126011566329e+08 2.7477431523150504e+08 2.8452541988389254e+08 2.9235431772904861e+08 2.9857631216264647e+08 3.0345633114108014e+08 3.0727520647059470e+08 3.1023199748404247e+08 3.1249372669094789e+08 3.1421636170461303e+08 3.1548610892934746e+08 3.1637303601683968e+08 3.1695246357680470e+08 3.1724670620026612e+08 3.1732325443789119e+08 3.1721570083252454e+08 3.1697827418319708e+08 3.1664489951517087e+08 3.1623197240221649e+08 3.1578794355270398e+08 3.1533627773614579e+08 3.1486589727837682e+08 3.1451874694267172e+08 3.1416355470300239e+08 3.1379912301741445e+08 3.1341666122257459e+08 3.1302188387909496e+08 3.1260035411674809e+08 3.1218249148307848e+08 3.1170743079374027e+08 3.1119907410372895e+08 3.1064808203009146e+08 3.1004716208201122e+08 3.0938745193906057e+08 3.0865896854302353e+08 3.0784413287154120e+08 3.0696076197146547e+08 3.0595254897753012e+08 3.0482226622693759e+08 3.0355352560567385e+08 3.0212868985878420e+08 3.0052957146024895e+08 2.9873792640846485e+08 2.9673046050724137e+08 2.9452546734344357e+08 2.9206244065283954e+08 2.8935918153028965e+08 2.8642194064795989e+08 2.8327375278854710e+08 2.7995380774727005e+08 2.7653669697297406e+08 2.7313055156137520e+08 2.6993147731717801e+08 2.6714802348604476e+08 2.6514678645593125e+08 2.6442366534630001e+08 2.6570896059317228e+08 2.7005600325995469e+08 2.7906156980149615e+08 2.9525140637493789e+08 3.2290845266611344e+08 3.5765268139326745e+08 +3.5529843281094298e+00 -7.7588479576030076e+07 -7.7568868563544497e+07 -7.7537286228813782e+07 -7.7495175539419964e+07 -7.7450541899621025e+07 -7.7417111171054229e+07 -7.7401418746940851e+07 -7.7392750922100797e+07 -7.7379521164325759e+07 -7.7358399618236452e+07 -7.7329545673151582e+07 -7.7291945740767688e+07 -7.7243905458639815e+07 -7.7183625215010881e+07 -7.7109161292758688e+07 -7.7018161414637983e+07 -7.6907788307987079e+07 -7.6774710574329108e+07 -7.6615002777681306e+07 -7.6424021245368302e+07 -7.6196287041932628e+07 -7.5925236865316406e+07 -7.5601858450972944e+07 -7.5210707946566701e+07 -7.4734292773278356e+07 -7.4162887758574307e+07 -7.3485736059670985e+07 -7.2686035657596648e+07 -7.1742704971056730e+07 -7.0630864687136397e+07 -6.9321405898457855e+07 -6.7780327389638051e+07 -6.5967968444259092e+07 -6.3838143583766520e+07 -6.1337191130845986e+07 -5.8402934056163915e+07 -5.4963608772199951e+07 -5.0936809304144546e+07 -4.6228570869995899e+07 -4.0732749989540488e+07 -3.3814373214340180e+07 -2.5688695626856498e+07 -1.6183209977783123e+07 -5.1213414098118618e+06 7.6653334141087951e+06 2.2318473424566329e+07 3.8927153219020844e+07 5.7495574277020112e+07 7.7907959871267185e+07 9.9895880372734785e+07 1.2301213916471031e+08 1.4667626973303506e+08 1.7022319527113131e+08 1.9290564697888643e+08 2.1405459750390011e+08 2.3315675012146938e+08 2.4989438094579089e+08 2.6416369632451540e+08 2.7603255209083557e+08 2.8572344136547142e+08 2.9349724838003027e+08 2.9966981138653260e+08 3.0450613404595482e+08 3.0828685332752955e+08 3.1121066096710879e+08 3.1344414652829885e+08 3.1514283237896961e+08 3.1639249856746686e+08 3.1726278039781475e+08 3.1782862576531655e+08 3.1811199015738577e+08 3.1818000903860056e+08 3.1806593977647948e+08 3.1782367740278363e+08 3.1748676591522479e+08 3.1707125832402462e+08 3.1662528740186238e+08 3.1617205580499941e+08 3.1570028834094787e+08 3.1535218569147021e+08 3.1499604146669930e+08 3.1463064255422479e+08 3.1424716924196136e+08 3.1385134888804334e+08 3.1342871986842984e+08 3.1300971092893624e+08 3.1253339494260478e+08 3.1202369471106267e+08 3.1147124610113168e+08 3.1086873729461622e+08 3.1020728248641580e+08 3.0947687215979695e+08 3.0865989482124472e+08 3.0777414469343954e+08 3.0676326355886966e+08 3.0562998917316979e+08 3.0435788999077052e+08 3.0292928201801854e+08 3.0132592952901882e+08 2.9952954017500639e+08 2.9751677162761521e+08 2.9530589856754375e+08 2.9283634859760970e+08 2.9012592956488663e+08 2.8718090870675045e+08 2.8402438183364922e+08 2.8069564258225334e+08 2.7726948005901998e+08 2.7385432439419901e+08 2.7064673916615087e+08 2.6785591278113487e+08 2.6584937587410548e+08 2.6512435376804185e+08 2.6641305797678727e+08 2.7077161653092670e+08 2.7980104337035781e+08 2.9603379609258431e+08 3.2376407792058182e+08 3.5732479655165279e+08 +3.5579526508836881e+00 -7.6244292471933722e+07 -7.6224850648873642e+07 -7.6193544630516961e+07 -7.6151781731859371e+07 -7.6107468816151470e+07 -7.6074184545648456e+07 -7.6058402042999268e+07 -7.6049516719078481e+07 -7.6036048340333492e+07 -7.6014683352390423e+07 -7.5985562645654038e+07 -7.5947665689360291e+07 -7.5899294714038715e+07 -7.5838643797346175e+07 -7.5763760728734553e+07 -7.5672284196719214e+07 -7.5561365690189764e+07 -7.5427659649296880e+07 -7.5267223830106288e+07 -7.5075395112783730e+07 -7.4846671934427366e+07 -7.4574464938115522e+07 -7.4249731309702635e+07 -7.3856976243227944e+07 -7.3378620811592296e+07 -7.2804886015768334e+07 -7.2124988153337583e+07 -7.1322072188316628e+07 -7.0374983488293573e+07 -6.9258758007399678e+07 -6.7944191315005004e+07 -6.6397175737035424e+07 -6.4577933257655233e+07 -6.2440151032554485e+07 -5.9930031624881394e+07 -5.6985257188734151e+07 -5.3533923447555758e+07 -4.9493491962176077e+07 -4.4769885295335434e+07 -3.9256883819196053e+07 -3.2318008685806468e+07 -2.4169815339948278e+07 -1.4640061679200208e+07 -3.5526737115655844e+06 9.2599648272437919e+06 2.3938333826154049e+07 4.0569915686203167e+07 5.9156919327183358e+07 7.9581278951932967e+07 1.0157219229170598e+08 1.2468035750415151e+08 1.4832387963210467e+08 1.7183731240245250e+08 1.9447428502316406e+08 2.1556784211909604e+08 2.3460766686934122e+08 2.5127935033412224e+08 2.6548226235768262e+08 2.7728686411023813e+08 2.8691752261953366e+08 2.9463625064416909e+08 3.0075941108234930e+08 3.0555207572729057e+08 3.0929468107641530e+08 3.1218554771242458e+08 3.1439083000843537e+08 3.1606560365965897e+08 3.1729522178749311e+08 3.1814888723061866e+08 3.1870117512959582e+08 3.1897368224229020e+08 3.1903318916470551e+08 3.1891261851679909e+08 3.1866553191319048e+08 3.1832509291364652e+08 3.1790701258348775e+08 3.1745910615687138e+08 3.1700431459794062e+08 3.1653116567337912e+08 3.1618211465218270e+08 3.1582502242815608e+08 3.1545866035929316e+08 3.1507417979302019e+08 3.1467732082738459e+08 3.1425359721672755e+08 3.1383344671750551e+08 3.1335588072805154e+08 3.1284484262009352e+08 3.1229094361494744e+08 3.1168685264837617e+08 3.1102366052868259e+08 3.1029133139379114e+08 3.0947222144335556e+08 3.0858410202752078e+08 3.0757056399540210e+08 3.0643431058015049e+08 3.0515886698718804e+08 3.0372650268172526e+08 3.0211893393932170e+08 3.0031782026921654e+08 2.9829977144116324e+08 2.9608304316944754e+08 2.9360699739797062e+08 2.9088944861401373e+08 2.8793668055025363e+08 2.8477184978755260e+08 2.8143435336702746e+08 2.7799917722038817e+08 2.7457504927880478e+08 2.7135898883872455e+08 2.6856082095342308e+08 2.6654900649511841e+08 2.6582209142956471e+08 2.6711419025081217e+08 2.7148421618930501e+08 2.8053740283896112e+08 2.9681289101173830e+08 3.2461609985666323e+08 3.5699538557741761e+08 +3.5629209736579464e+00 -7.4897879477141708e+07 -7.4878606034388676e+07 -7.4847576852186590e+07 -7.4806161797787696e+07 -7.4762169997966483e+07 -7.4729032482080176e+07 -7.4713160196262926e+07 -7.4704057680520371e+07 -7.4690351062629476e+07 -7.4668743129698694e+07 -7.4639356273050472e+07 -7.4601163055700585e+07 -7.4552462313902363e+07 -7.4491441848485053e+07 -7.4416140988673955e+07 -7.4324189428799912e+07 -7.4212727466218248e+07 -7.4078395438273326e+07 -7.3917234359695330e+07 -7.3724561745007098e+07 -7.3494853497770458e+07 -7.3221494319945440e+07 -7.2895410998350576e+07 -7.2501058031020612e+07 -7.2020770462288246e+07 -7.1444715657884136e+07 -7.0762083241129577e+07 -6.9955965456007794e+07 -6.9005135001035810e+07 -6.7884543554784745e+07 -6.6564891706316151e+07 -6.5011965966405608e+07 -6.3185871784003958e+07 -6.1040169856181987e+07 -5.8520928063066445e+07 -5.5565689018982559e+07 -5.2102409268959381e+07 -4.8048419690690279e+07 -4.3309532280542009e+07 -3.7779453691224314e+07 -3.0820212406252228e+07 -2.2649661107469529e+07 -1.3095827142214894e+07 -1.9831418847036131e+06 1.0855199529118210e+07 2.5558494407104600e+07 4.2212631106100962e+07 6.0817826999287009e+07 8.1253732368228063e+07 1.0324718263639762e+08 1.2634678656998865e+08 1.4996924087741643e+08 1.7344875166936609e+08 1.9603986656213161e+08 2.1707771716170892e+08 2.3605497363533372e+08 2.5266054093586919e+08 2.6679694461948550e+08 2.7853723946500516e+08 2.8810765329337895e+08 2.9577131536717206e+08 3.0184510306034231e+08 3.0659414876796901e+08 3.1029868291576701e+08 3.1315665141178125e+08 3.1533377121764141e+08 3.1698466994824874e+08 3.1819427324394149e+08 3.1903135137023753e+08 3.1957010668158162e+08 3.1983177758850473e+08 3.1988279004255128e+08 3.1975573234706259e+08 3.1950383305589557e+08 3.1915987588462687e+08 3.1873923057583994e+08 3.1828939522776198e+08 3.1783304953555554e+08 3.1735852470416331e+08 3.1700852925899804e+08 3.1665049302742767e+08 3.1628317187690705e+08 3.1589768832622331e+08 3.1549979515290415e+08 3.1507498162324142e+08 3.1465369431701374e+08 3.1417488362490350e+08 3.1366251331334305e+08 3.1310717006205648e+08 3.1250150364201599e+08 3.1183658157496309e+08 3.1110234176428443e+08 3.1028110826876587e+08 3.0939062951788050e+08 3.0837444584623295e+08 3.0723522602333385e+08 3.0595645218875241e+08 3.0452034746377689e+08 3.0290858032874948e+08 3.0110276235447252e+08 2.9907945564041835e+08 2.9685689687411922e+08 2.9437438281471884e+08 2.9164973447747922e+08 2.8868925202071124e+08 2.8551615253819603e+08 2.8216993603768581e+08 2.7872578444253767e+08 2.7529272224990326e+08 2.7206822241587871e+08 2.6926274412517375e+08 2.6724567447006431e+08 2.6651687449253494e+08 2.6781235355782956e+08 2.7219379831493181e+08 2.8127064415610284e+08 2.9758868684609669e+08 3.2546451378729135e+08 3.5666445768417490e+08 +3.5678892964322046e+00 -7.3549267398904577e+07 -7.3530162787036955e+07 -7.3499409777505547e+07 -7.3458343355206609e+07 -7.3414673005491078e+07 -7.3381682685151353e+07 -7.3365720922904938e+07 -7.3356401530835435e+07 -7.3342457059768766e+07 -7.3320606681847692e+07 -7.3290954292837754e+07 -7.3252465582947955e+07 -7.3203436008371070e+07 -7.3142047126313493e+07 -7.3066329839577124e+07 -7.2973904888315126e+07 -7.2861901425416619e+07 -7.2726945744530097e+07 -7.2565062186188623e+07 -7.2371548980879813e+07 -7.2140859593202770e+07 -7.1866352898432568e+07 -7.1538925435623050e+07 -7.1142981265374377e+07 -7.0660769725356594e+07 -7.0082404738123015e+07 -6.9397049439123258e+07 -6.8587743650087938e+07 -6.7633187784180716e+07 -6.6508249703843527e+07 -6.5183535562347002e+07 -6.3624726701298580e+07 -6.1791812800868422e+07 -5.9638229009015024e+07 -5.7109909601818502e+07 -5.4144258932509989e+07 -5.0669095880120777e+07 -4.6601622421696939e+07 -4.1847542075448453e+07 -3.6300490201027155e+07 -2.9321015367590811e+07 -2.1128264333281662e+07 -1.1550538180198096e+07 -4.1277812255353411e+05 1.2451005014501970e+07 2.7178922469992220e+07 4.3855266773388579e+07 6.2478264839120321e+07 8.2925288252739444e+07 1.0492082052721940e+08 1.2801139690836066e+08 1.5161232586928347e+08 1.7505748769053733e+08 1.9760236867899185e+08 2.1858420227812603e+08 2.3749865257470852e+08 2.5403793723534927e+08 2.6810772965883932e+08 2.7978366646721256e+08 2.8929382316316682e+08 2.9690243351782733e+08 3.0292687924771261e+08 3.0763234586132854e+08 3.1129885215182614e+08 3.1412396586025172e+08 3.1627296434208745e+08 3.1790002574505770e+08 3.1908964768655980e+08 3.1991016776573956e+08 3.2043541552729875e+08 3.2068627142239124e+08 3.2072880698960900e+08 3.2059527665144479e+08 3.2033857626220042e+08 3.1999111029198778e+08 3.1956790778649658e+08 3.1911615011362523e+08 3.1865825612723279e+08 3.1818236095121902e+08 3.1783142503467447e+08 3.1747244879222929e+08 3.1710417264062297e+08 3.1671769037988496e+08 3.1631876740940827e+08 3.1589286863821501e+08 3.1547044928444880e+08 3.1499039919666058e+08 3.1447670236129963e+08 3.1391992102066988e+08 3.1331268586280072e+08 3.1264604122162932e+08 3.1190989887761277e+08 3.1108655091550916e+08 3.1019372279530036e+08 3.0917490475628650e+08 3.0803273116380090e+08 3.0675064127459681e+08 3.0531081206344938e+08 3.0369486441941500e+08 3.0188436217859244e+08 2.9985582000128233e+08 2.9762745548938149e+08 2.9513850069067454e+08 2.9240678303669679e+08 2.8943861904131311e+08 2.8625728605378741e+08 2.8290238660949862e+08 2.7944929778957272e+08 2.7600733942001039e+08 2.7277443605600262e+08 2.6996167849375045e+08 2.6793937602488539e+08 2.6720869919290537e+08 2.6850754411577886e+08 2.7290035906413919e+08 2.8200076334964520e+08 2.9836117939296025e+08 3.2630931511620545e+08 3.5633202207127672e+08 +3.5728576192064629e+00 -7.2198484661753327e+07 -7.2179548474360093e+07 -7.2149072232269734e+07 -7.2108354442325965e+07 -7.2065005670254588e+07 -7.2032162867334068e+07 -7.2016111933083415e+07 -7.2006575986314669e+07 -7.1992394053451598e+07 -7.1970301733458787e+07 -7.1940384435804754e+07 -7.1901601007595316e+07 -7.1852243540496513e+07 -7.1790487381778762e+07 -7.1714355041316479e+07 -7.1621458345160142e+07 -7.1508915349888161e+07 -7.1373338363987371e+07 -7.1210735121669009e+07 -7.1016384651502311e+07 -7.0784718074225903e+07 -7.0509068553138956e+07 -7.0180302531826422e+07 -6.9782773893134296e+07 -6.9298646591810524e+07 -6.8717981300446853e+07 -6.8029914853283748e+07 -6.7217434949174583e+07 -6.6259170101216599e+07 -6.5129904816634513e+07 -6.3800151359640062e+07 -6.2235486550599203e+07 -6.0395785069750354e+07 -5.8234357427665800e+07 -5.5697005377613090e+07 -5.2720996292643227e+07 -4.9234012899823502e+07 -4.5153130058701105e+07 -4.0383944897667862e+07 -3.4820023907248951e+07 -2.7820448519358311e+07 -1.9605656372277409e+07 -1.0004226549789719e+07 1.1583854471712105e+06 1.4047348853930023e+07 2.8799585404424537e+07 4.5497790082183883e+07 6.4138200505004033e+07 8.4595914863722250e+07 1.0659307522312026e+08 1.2967415921492563e+08 1.5325310716617978e+08 1.7666349524743924e+08 1.9916176862211269e+08 2.2008727727792674e+08 2.3893868600174612e+08 2.5541152386841387e+08 2.6941460416820860e+08 2.8102613356509519e+08 2.9047602213423103e+08 2.9802959618625557e+08 3.0400473168788034e+08 3.0866665981232131e+08 3.1229518219690412e+08 3.1508748495552087e+08 3.1720840366856521e+08 3.1881166564694643e+08 3.1998133996163493e+08 3.2078533146013963e+08 3.2129709686431366e+08 3.2153715906155330e+08 3.2157123541367203e+08 3.2143124690455997e+08 3.2116975705370110e+08 3.2081879168886954e+08 3.2039303978956693e+08 3.1993936640281385e+08 3.1947992997171211e+08 3.1900267002098000e+08 3.1865079759108871e+08 3.1829088533971971e+08 3.1792165827242255e+08 3.1753418158170837e+08 3.1713423322933400e+08 3.1670725390024459e+08 3.1628370726399684e+08 3.1580242309449095e+08 3.1528740542219907e+08 3.1472919215678364e+08 3.1412039498493397e+08 3.1345203515173626e+08 3.1271399842735118e+08 3.1188854508852082e+08 3.1099337757726073e+08 3.0997193645709389e+08 3.0882682174860126e+08 3.0754143000953889e+08 3.0609789226561540e+08 3.0447778201849425e+08 3.0266261557341796e+08 3.0062886038350254e+08 2.9839471490601444e+08 2.9589934695119745e+08 2.9316059025462133e+08 2.9018477761586571e+08 2.8699524638161260e+08 2.8363170117643857e+08 2.8016971340284979e+08 2.7671889697829729e+08 2.7347762599309647e+08 2.7065762033234966e+08 2.6863010746049666e+08 2.6789756184136730e+08 2.6919975821739221e+08 2.7360389466849399e+08 2.8272775652603346e+08 2.9913036453280491e+08 3.2715049933888745e+08 3.5599808792367923e+08 +3.5778259419807212e+00 -7.0845557782519415e+07 -7.0826791623308629e+07 -7.0796591858973891e+07 -7.0756222946086317e+07 -7.0713195791104138e+07 -7.0680500734904706e+07 -7.0664360930812091e+07 -7.0654608754628137e+07 -7.0640189757480249e+07 -7.0617856001386702e+07 -7.0587674425173417e+07 -7.0548597058275059e+07 -7.0498912645606145e+07 -7.0436790357855275e+07 -7.0360244345840946e+07 -7.0266877561624438e+07 -7.0153797013453871e+07 -7.0017601084400758e+07 -6.9854280969983235e+07 -6.9659096579578564e+07 -6.9426456785430610e+07 -6.9149669154779404e+07 -6.8819570187945694e+07 -6.8420463851663500e+07 -6.7934429042743042e+07 -6.7351473378342152e+07 -6.6660707578858115e+07 -6.5845067520589188e+07 -6.4883110203425527e+07 -6.3749537242103420e+07 -6.2414767560468890e+07 -6.0844274107810408e+07 -5.8997817335201882e+07 -5.6828584030035138e+07 -5.4282244506239772e+07 -5.1295930439552896e+07 -4.7797189920799650e+07 -4.3702972476150654e+07 -3.8918770931836970e+07 -3.3338085331066918e+07 -2.6318542767961252e+07 -1.8081868529503502e+07 -8.4569239501364231e+06 2.7303167631683513e+06 1.5644198694437448e+07 3.0420450687886298e+07 4.7140168526817672e+07 6.5797601768270418e+07 8.6265580585784674e+07 1.0826391612160748e+08 1.3133504433485144e+08 1.5489155748429421e+08 1.7826674928526759e+08 2.0071804380412421e+08 2.2158692213328370e+08 2.4037505638855457e+08 2.5678128562258708e+08 2.7071755498451585e+08 2.8226462934361684e+08 2.9165424024019682e+08 2.9915279458440483e+08 3.0507865253966469e+08 3.0969708353612602e+08 3.1328766656985295e+08 3.1604720269896942e+08 3.1814008358329976e+08 3.1971958434952807e+08 3.2086934501002747e+08 3.2165683759032476e+08 3.2215514598339057e+08 3.2238443591530681e+08 3.2241007081365556e+08 3.2226363867074072e+08 3.2199737104084748e+08 3.2164291571763647e+08 3.2121462224836987e+08 3.2075903977274662e+08 3.2029806675596505e+08 3.1981944760842699e+08 3.1946664262822336e+08 3.1910579837433928e+08 3.1873562448192996e+08 3.1834715764646953e+08 3.1794618833305687e+08 3.1751813313527852e+08 3.1709346398789120e+08 3.1661095105716300e+08 3.1609461824156100e+08 3.1553497922307020e+08 3.1492462676915210e+08 3.1425455913572490e+08 3.1351463619366992e+08 3.1268708657846290e+08 3.1178958966742706e+08 3.1076553676594412e+08 3.0961749361030018e+08 3.0832881424393231e+08 3.0688158394013399e+08 3.0525732901697087e+08 3.0343751845475924e+08 3.0139857273039484e+08 2.9915867109757179e+08 2.9665691760301650e+08 2.9391115217544502e+08 2.9092772382860023e+08 2.8773002964920330e+08 2.8435787591097474e+08 2.8088702750189883e+08 2.7742739118978208e+08 2.7417778853665042e+08 2.7135056598854762e+08 2.6931786515190613e+08 2.6858345882283008e+08 2.6988899223007417e+08 2.7430440143612170e+08 2.8345161987009615e+08 2.9989623822884929e+08 3.2798806204059690e+08 3.5566266441180843e+08 +3.5827942647549795e+00 -6.9490515990382984e+07 -6.9471918787286222e+07 -6.9441996089788854e+07 -6.9401975793689042e+07 -6.9359271016582251e+07 -6.9326723981816784e+07 -6.9310495613736242e+07 -6.9300527534337655e+07 -6.9285871876718953e+07 -6.9263297193656683e+07 -6.9232851975659266e+07 -6.9193481454904884e+07 -6.9143471050359771e+07 -6.9080983788875908e+07 -6.9004025496303603e+07 -6.8910190290760174e+07 -6.8796574181197599e+07 -6.8659761684361264e+07 -6.8495727525847822e+07 -6.8299712578403413e+07 -6.8066103562136278e+07 -6.7788182564116135e+07 -6.7456756295362562e+07 -6.7056079067963548e+07 -6.6568145048588380e+07 -6.5982908994091496e+07 -6.5289455699235424e+07 -6.4470669519093141e+07 -6.3505036328754589e+07 -6.2367175315123834e+07 -6.1027412612070262e+07 -5.9451117949928597e+07 -5.7597938323915534e+07 -5.5420937714493655e+07 -5.2865656081902392e+07 -4.9869090689539671e+07 -4.6358656509105064e+07 -4.2251179518360928e+07 -3.7452050328582175e+07 -3.1854704955197006e+07 -2.4815328975649897e+07 -1.6556932059355617e+07 -6.9086620220091026e+06 4.3029838313426627e+06 1.7241522260342665e+07 3.2041485886316344e+07 4.8782369702289209e+07 6.7456436514251143e+07 8.7934253930311993e+07 1.0993331275965746e+08 1.3299402326353654e+08 1.5652764969850990e+08 1.7986722491188124e+08 2.0227117180306137e+08 2.2308311697913250e+08 2.4180774636496988e+08 2.5814720743672800e+08 2.7201656908804685e+08 2.8349914252206975e+08 2.9282846764252603e+08 3.0027202004595500e+08 3.0614863407747608e+08 3.1072361005828190e+08 3.1427629889551741e+08 3.1700311319362563e+08 3.1906799857187694e+08 3.2062377664427018e+08 3.2175365786849815e+08 3.2252468138646603e+08 3.2300955826712054e+08 3.2322809748391628e+08 3.2324530877895677e+08 3.2309244760416782e+08 3.2282141392376137e+08 3.2246347810975498e+08 3.2203265091457903e+08 3.2157516598840457e+08 3.2111266225516129e+08 3.2063268949609804e+08 3.2027895593371046e+08 3.1991718368924713e+08 3.1954606706674886e+08 3.1915661437699682e+08 3.1875462852884465e+08 3.1832550215688461e+08 3.1789971527548939e+08 3.1741597891013443e+08 3.1689833665183365e+08 3.1633727805981094e+08 3.1572537706383622e+08 3.1505360903018320e+08 3.1431180804290652e+08 3.1348217126277953e+08 3.1258235495482308e+08 3.1155570158564407e+08 3.1040474266736192e+08 3.0911278991225636e+08 3.0766188304039365e+08 3.0603350139047897e+08 3.0420906682188094e+08 3.0216495306777167e+08 2.9991932012009567e+08 2.9741120873565286e+08 2.9465846492388195e+08 2.9166745384409553e+08 2.8846163206303799e+08 2.8508090706446731e+08 2.8160123638331312e+08 2.7813281839721948e+08 2.7487492007215214e+08 2.7204051188488203e+08 2.7000264554842180e+08 2.6926638659628153e+08 2.7057524259513563e+08 2.7500187575038821e+08 2.8417234964468515e+08 3.0065879652703440e+08 3.2882199889754772e+08 3.5532576069142604e+08 +3.5877625875292378e+00 -6.8133385248690739e+07 -6.8114957476431668e+07 -6.8085312342000797e+07 -6.8045641392147005e+07 -6.8003259015215054e+07 -6.7970860293972865e+07 -6.7954543671941206e+07 -6.7944360014780641e+07 -6.7929468106178656e+07 -6.7906653009228215e+07 -6.7875944792619407e+07 -6.7836281908010975e+07 -6.7785946472011939e+07 -6.7723095399522632e+07 -6.7645726226233676e+07 -6.7551424276195630e+07 -6.7437274608210608e+07 -6.7299847932648718e+07 -6.7135102573723286e+07 -6.6938260450980328e+07 -6.6703686229119636e+07 -6.6424636631560661e+07 -6.6091888734072387e+07 -6.5689647457788274e+07 -6.5199822568119615e+07 -6.4612316158061393e+07 -6.3916187285246573e+07 -6.3094269086306766e+07 -6.2124976701293722e+07 -6.0982847355646849e+07 -5.9638114945638523e+07 -5.8056046636900768e+07 -5.6196176743997984e+07 -5.4011447359038465e+07 -5.1447269176386207e+07 -4.8440506333931327e+07 -4.4918442203117467e+07 -4.0797780998725452e+07 -3.5983813203885436e+07 -3.0369913223171975e+07 -2.3310837959871370e+07 -1.5030878164748413e+07 -5.3594723470256058e+06 5.8763547255939562e+06 1.8839287354026861e+07 3.3662658654980384e+07 5.0424361305164501e+07 6.9114672742386296e+07 8.9601903535901412e+07 1.1160123481345165e+08 1.3465106714606237e+08 1.5816135684148133e+08 1.8146489739870283e+08 2.0382113036089057e+08 2.2457584211323848e+08 2.4323673871855423e+08 2.5950927440005085e+08 2.7331163360172015e+08 2.8472966195615691e+08 2.9399869463085163e+08 3.0138726402478135e+08 3.0721466869052362e+08 3.1174623251462501e+08 3.1526107290457433e+08 3.1795521064461696e+08 3.1999214321949154e+08 3.2152423742032641e+08 3.2263427366736257e+08 3.2338885817199445e+08 3.2386032918984908e+08 3.2406813935804218e+08 3.2407694498827809e+08 3.2391766944821757e+08 3.2364188149138725e+08 3.2328047468504089e+08 3.2284712162858969e+08 3.2238774090412050e+08 3.2192371233259982e+08 3.2144239155526125e+08 3.2108773338352954e+08 3.2072503716464108e+08 3.2035298191266865e+08 3.1996254766371858e+08 3.1955954971188879e+08 3.1912935686551851e+08 3.1870245703363812e+08 3.1821750256636411e+08 3.1769855657262641e+08 3.1713608459356672e+08 3.1652264180318511e+08 3.1584918077817082e+08 3.1510550992774802e+08 3.1427379510474157e+08 3.1337166941493738e+08 3.1234242690464246e+08 3.1118856492274737e+08 3.0989335303453726e+08 3.0843878560481924e+08 3.0680629519808239e+08 3.0497725675785744e+08 3.0292799750486547e+08 3.0067665811153346e+08 2.9816221651916182e+08 2.9540252470588380e+08 2.9240396390634269e+08 2.8919004990862292e+08 2.8580079096545386e+08 2.8231233642092222e+08 2.7883517501872170e+08 2.7556901706039089e+08 2.7272745451850766e+08 2.7068444517331856e+08 2.6994634169423425e+08 2.7125850582854122e+08 2.7569631407029867e+08 2.8488994219057804e+08 3.0141803555578560e+08 3.2965230567612153e+08 3.5498738590349722e+08 +3.5927309103034961e+00 -6.6774195045309559e+07 -6.6755936434313312e+07 -6.6726568239867650e+07 -6.6687247082806170e+07 -6.6645187570451625e+07 -6.6612937355489150e+07 -6.6596532784742415e+07 -6.6586133875619650e+07 -6.6571006130366154e+07 -6.6547951136669815e+07 -6.6516980571235247e+07 -6.6477026117812283e+07 -6.6426366617260419e+07 -6.6363152904286511e+07 -6.6285374258725606e+07 -6.6190607250875525e+07 -6.6075926039060108e+07 -6.5937887587178081e+07 -6.5772433887337461e+07 -6.5574767989419997e+07 -6.5339232599895835e+07 -6.5059059195898816e+07 -6.4724995372677036e+07 -6.4321196925020076e+07 -6.3829489547851324e+07 -6.3239722867685996e+07 -6.2540930394286007e+07 -6.1715894349723689e+07 -6.0742959530349530e+07 -5.9596581668062322e+07 -5.8246902975684926e+07 -5.6659088710551307e+07 -5.4792561283904739e+07 -5.2600141820346229e+07 -5.0027112838191897e+07 -4.7010206638590254e+07 -4.3476576512787201e+07 -3.9342806698969401e+07 -3.4514089638064466e+07 -2.8883740538360510e+07 -2.1805100492362183e+07 -1.3503737996286068e+07 -3.8093864468495199e+06 7.4503975886096116e+06 2.0437461856640127e+07 3.5283936739040092e+07 5.2066111133999541e+07 7.0772278567083552e+07 9.1268498168967053e+07 1.1326765209920508e+08 1.3630614727845207e+08 1.5979265210470930e+08 1.8305974218019003e+08 2.0536789738403797e+08 2.2606507799499440e+08 2.4466201639456138e+08 2.6086747175278732e+08 2.7460273579191518e+08 2.8595617663555604e+08 2.9516491162210327e+08 3.0249851809589911e+08 3.0827674888265926e+08 3.1276494415009183e+08 3.1624198243292952e+08 3.1890348935980666e+08 3.2091251220987236e+08 3.2242096166237527e+08 3.2351118763301897e+08 3.2424936336303520e+08 3.2470745431795627e+08 3.2490455721948063e+08 3.2490497521077436e+08 3.2473930003563327e+08 3.2445876962113470e+08 3.2409390135138065e+08 3.2365803031844634e+08 3.2319676046069616e+08 3.2273121293908137e+08 3.2224854974388814e+08 3.2189297094057798e+08 3.2152935476835859e+08 3.2115636499171555e+08 3.2076495348369706e+08 3.2036094786476731e+08 3.1992969324919176e+08 3.1950168525575089e+08 3.1901551802534688e+08 3.1849527400984550e+08 3.1793139483721924e+08 3.1731641700820106e+08 3.1664127040884864e+08 3.1589573788666505e+08 3.1506195415282470e+08 3.1415752910789663e+08 3.1312570879616010e+08 3.1196895646389997e+08 3.1067049971458966e+08 3.0921228775615233e+08 3.0757570658278990e+08 3.0574208442780459e+08 3.0368770223247737e+08 3.0143068129223531e+08 2.9890993720537704e+08 2.9614332780794346e+08 2.9313725033961725e+08 2.8991527955045986e+08 2.8651752402120668e+08 2.8302032406533337e+08 2.7953445754867095e+08 2.7626007603665507e+08 2.7341139046088815e+08 2.7136326062383813e+08 2.7062332072311252e+08 2.7193877851992828e+08 2.7638771292954171e+08 2.8560439392568904e+08 3.0217395152515721e+08 3.3047897823179489e+08 3.5464754917405957e+08 +3.5976992330777544e+00 -6.5412971584931813e+07 -6.5394883126871236e+07 -6.5365792275008373e+07 -6.5326820722199619e+07 -6.5285084280165106e+07 -6.5252982841535084e+07 -6.5236490617793344e+07 -6.5225876786125690e+07 -6.5210513622545481e+07 -6.5187219253835008e+07 -6.5155986995583482e+07 -6.5115741773385853e+07 -6.5064759181958422e+07 -6.5001184006250910e+07 -6.4922997305448703e+07 -6.4827766936365023e+07 -6.4712556206767686e+07 -6.4573908394380398e+07 -6.4407749228636183e+07 -6.4209262973854676e+07 -6.3972770475967996e+07 -6.3691478083673887e+07 -6.3356104067136332e+07 -6.2950755360579558e+07 -6.2457173920822039e+07 -6.1865157106588535e+07 -6.1163713069602653e+07 -6.0335573422035940e+07 -5.9359013009452313e+07 -5.8208406539915927e+07 -5.6853805099005036e+07 -5.5260272693824172e+07 -5.3387120611860827e+07 -5.1187049933071367e+07 -4.8605216091680937e+07 -4.5578220842703938e+07 -4.2033088918788336e+07 -3.7886286368087716e+07 -3.3042909675002120e+07 -2.7396217263311382e+07 -2.0298147298287846e+07 -1.1975542651462082e+07 -2.2584357823730987e+06 9.0250806326092072e+06 2.2036013728833050e+07 3.6905287974315792e+07 5.3707587090242527e+07 7.2429222218094140e+07 9.2934006723980516e+07 1.1493253457361905e+08 1.3795923510711384e+08 1.6142150883795011e+08 1.8465173485393131e+08 2.0691145094342899e+08 2.2755080524618861e+08 2.4608356249475363e+08 2.6222178488514411e+08 2.7588986306721848e+08 2.8717867568510234e+08 2.9632710916008526e+08 3.0360577395432931e+08 3.0933486727238435e+08 3.1377973831910139e+08 3.1721902142131376e+08 3.1984794374737757e+08 3.2182910032561135e+08 3.2331394445179331e+08 3.2438439508433861e+08 3.2510619246828270e+08 3.2555092930863905e+08 3.2573734684018975e+08 3.2572939530448091e+08 3.2555733528798413e+08 3.2527207427920616e+08 3.2490375410507649e+08 3.2446537300019264e+08 3.2400222068785608e+08 3.2353516011304784e+08 3.2305116010807121e+08 3.2269466465541315e+08 3.2233013255546212e+08 3.2195621236333048e+08 3.2156382790171891e+08 3.2115881905650705e+08 3.2072650738232642e+08 3.2029739602169007e+08 3.1981002137304544e+08 3.1928848505560756e+08 3.1872320488985181e+08 3.1810669878534901e+08 3.1742987403722358e+08 3.1668248804359800e+08 3.1584664454125965e+08 3.1493993017944247e+08 3.1390554341820496e+08 3.1274591346340829e+08 3.1144422614061862e+08 3.0998238570016545e+08 3.0834173177059305e+08 3.0650354608083355e+08 3.0444406352488101e+08 3.0218138596365643e+08 2.9965436712648916e+08 2.9688087059654945e+08 2.9386730954687625e+08 2.9063731743123430e+08 2.8723110271615076e+08 2.8372519584408724e+08 2.8023066255690879e+08 2.7694809361178082e+08 2.7409231635730416e+08 2.7203908857028055e+08 2.7129732036182225e+08 2.7261605733269763e+08 2.7707606893685818e+08 2.8631570134649038e+08 3.0292654072774869e+08 3.3130201251016217e+08 3.5430625961409444e+08 +3.6026675558520127e+00 -6.4049743430056676e+07 -6.4031824232982799e+07 -6.4003011499235101e+07 -6.3964389671825156e+07 -6.3922976638660133e+07 -6.3891024406024285e+07 -6.3874444821597680e+07 -6.3863616403737545e+07 -6.3848018243792936e+07 -6.3824485026897050e+07 -6.3792991737770587e+07 -6.3752456551713631e+07 -6.3701151849579975e+07 -6.3637216396432512e+07 -6.3558623066070274e+07 -6.3462931042069323e+07 -6.3347192832134172e+07 -6.3207938088212565e+07 -6.3041076347049244e+07 -6.2841773171724066e+07 -6.2604327645991884e+07 -6.2321921108296327e+07 -6.1985242660079524e+07 -6.1578350641580425e+07 -6.1082903606147170e+07 -6.0488646843963146e+07 -5.9784563339143537e+07 -5.8953334399980590e+07 -5.7973165315707885e+07 -5.6818350241528705e+07 -5.5458849693922095e+07 -5.3859627089934982e+07 -5.1979883374927334e+07 -4.9772200508908302e+07 -4.7181607936288781e+07 -4.4144578158167981e+07 -4.0588008871500082e+07 -3.6428249721779056e+07 -3.1570303321349297e+07 -2.5907373718796596e+07 -1.8790009055467501e+07 -1.0446323173841173e+07 -7.0665175293936499e+05 1.0600372140154438e+07 2.3634911011599105e+07 3.8526680288002759e+07 5.5348757178536534e+07 7.4085472041369602e+07 9.4598398224266499e+07 1.1659585233353175e+08 1.3961030222957465e+08 1.6304790055002862e+08 1.8624085118094566e+08 2.0845176927420959e+08 2.2903300465051973e+08 2.4750136027788827e+08 2.6357219933759931e+08 2.7717300297802877e+08 2.8839714836378324e+08 2.9748527791523212e+08 3.0470902341513807e+08 3.1038901659181309e+08 3.1479060848533118e+08 3.1819218391565257e+08 3.2078856831771654e+08 3.2274190244689542e+08 3.2420318096602249e+08 3.2525389143527639e+08 3.2595934108912921e+08 3.2639074990991002e+08 3.2656650408191442e+08 3.2655020121702826e+08 3.2637177121503019e+08 3.2608179151946038e+08 3.2571002903040099e+08 3.2526914577731121e+08 3.2480411770140648e+08 3.2433554997974372e+08 3.2385021878004104e+08 3.2349281066507417e+08 3.2312736666721612e+08 3.2275252017398864e+08 3.2235916706793761e+08 3.2195315944308442e+08 3.2151979542527205e+08 3.2108958549739861e+08 3.2060100878122544e+08 3.2007818588819647e+08 3.1951151093676913e+08 3.1889348332673204e+08 3.1821498786367905e+08 3.1746575660788035e+08 3.1662786248901767e+08 3.1571886885977852e+08 3.1468192701376504e+08 3.1351943217774421e+08 3.1221452858498305e+08 3.1074907572626412e+08 3.0910436707061350e+08 3.0726163804773438e+08 3.0519707773725671e+08 3.0292876850879937e+08 3.0039550269598496e+08 2.9761514951780409e+08 2.9459413801078755e+08 2.9135616007199341e+08 2.8794152361205941e+08 2.8442694836096960e+08 2.8092378668930274e+08 2.7763306647091067e+08 2.7477022892685145e+08 2.7271192575647140e+08 2.7196833736345774e+08 2.7329033900320727e+08 2.7776137877555829e+08 2.8702386102518547e+08 3.0367579953723347e+08 3.3212140454578441e+08 3.5396352631939763e+08 +3.6076358786262710e+00 -6.2684538418392949e+07 -6.2666788902559325e+07 -6.2638253267220482e+07 -6.2599981675297953e+07 -6.2558892253162973e+07 -6.2527089683491617e+07 -6.2510423032744400e+07 -6.2499380373622023e+07 -6.2483547642659821e+07 -6.2459776109451041e+07 -6.2428022457086526e+07 -6.2387198117238536e+07 -6.2335572291070059e+07 -6.2271277753044091e+07 -6.2192279227107204e+07 -6.2096127264301166e+07 -6.1979863622709818e+07 -6.1840004389338888e+07 -6.1672442978591785e+07 -6.1472326336914070e+07 -6.1233931884822249e+07 -6.0950416069244981e+07 -6.0612438979805119e+07 -6.0204010630763322e+07 -5.9706706507993229e+07 -5.9110220033601023e+07 -5.8403509215089954e+07 -5.7569205364001833e+07 -5.6585444608743422e+07 -5.5426441024982847e+07 -5.4062065119534165e+07 -5.2457180381606787e+07 -5.0570878197956838e+07 -4.8355622335831948e+07 -4.5756317345632248e+07 -4.2709307768761016e+07 -3.9141365790436529e+07 -3.4968726441389047e+07 -3.0096300545615617e+07 -2.4417240182990156e+07 -1.7280716393549886e+07 -8.9161105522471219e+06 8.4593430445521278e+05 1.2176240464880830e+07 2.5234121826847862e+07 4.0148081699259177e+07 5.6989589507662542e+07 7.5740996499155238e+07 9.6261641822281405e+07 1.1825757561718553e+08 1.4125932039438450e+08 1.6467180090810725e+08 1.8782706708523142e+08 2.0998883077520368e+08 2.3051165715304020e+08 2.4891539315929210e+08 2.6491870079946640e+08 2.7845214321710533e+08 2.8961158406380641e+08 2.9863940868464822e+08 3.0580825841320199e+08 3.1143918968725324e+08 3.1579754822032100e+08 3.1916146406596720e+08 3.2172535768092901e+08 3.2365091355253798e+08 3.2508866647711778e+08 3.2611967219264770e+08 3.2680880491809070e+08 3.2722691196119678e+08 3.2739202489582902e+08 3.2736738898426384e+08 3.2718260391498351e+08 3.2688791748338723e+08 3.2651272229844761e+08 3.2606934484019119e+08 3.2560244770511901e+08 3.2513237875196886e+08 3.2464572197917336e+08 3.2428740519325542e+08 3.2392105333224231e+08 3.2354528465611076e+08 3.2315096722002947e+08 3.2274396526592851e+08 3.2230955362497866e+08 3.2187824993501902e+08 3.2138847650781089e+08 3.2086437277159190e+08 3.2029630924774432e+08 3.1967676691013932e+08 3.1899660817336947e+08 3.1824553987363911e+08 3.1740560430003870e+08 3.1649434146341586e+08 3.1545485590924412e+08 3.1428950894733673e+08 3.1298140340283442e+08 3.1151235420712584e+08 3.0986360887458920e+08 3.0801635674215317e+08 3.0594674130720967e+08 3.0367282539180738e+08 3.0113334040747863e+08 2.9834616109783560e+08 2.9531773229279727e+08 2.9207180407187623e+08 2.8864878334764928e+08 2.8512557829583114e+08 2.8161382666611755e+08 2.7831499137303001e+08 2.7544512496231174e+08 2.7338176899913335e+08 2.7263636855290699e+08 2.7396162034173805e+08 2.7844363920343184e+08 2.8772886961154306e+08 3.0442172440848565e+08 3.3293715046226567e+08 3.5361935837045282e+08 +3.6126042014005293e+00 -6.1317383723994955e+07 -6.1299803476309121e+07 -6.1271545959887758e+07 -6.1233624454113357e+07 -6.1192858852107860e+07 -6.1161206296541341e+07 -6.1144452875222377e+07 -6.1133196327085972e+07 -6.1117129454192922e+07 -6.1093120141970888e+07 -6.1061106799116381e+07 -6.1019994120547086e+07 -6.0968048163665846e+07 -6.0903395740569092e+07 -6.0823993461572513e+07 -6.0727383285558335e+07 -6.0610596272198997e+07 -6.0470135004425213e+07 -6.0301876845062159e+07 -6.0100950208984606e+07 -5.9861610952744432e+07 -5.9576990751166590e+07 -5.9237720839694694e+07 -5.8827763175486386e+07 -5.8328610514703818e+07 -5.7729904613054179e+07 -5.7020578692812748e+07 -5.6183214376837179e+07 -5.5195879030131906e+07 -5.4032707123173878e+07 -5.2663479714683272e+07 -5.1052961030061878e+07 -4.9160133683052443e+07 -4.6937344177168891e+07 -4.4329373266706884e+07 -4.1272438829157412e+07 -3.7693189063303269e+07 -3.3507746173212893e+07 -2.8620931277446993e+07 -2.2925846890719898e+07 -1.5770299893185871e+07 -7.3849357199761802e+06 2.3992911159321559e+06 1.3752654032264970e+07 2.6833614378241863e+07 4.1769460320037425e+07 5.8630052290949814e+07 7.7395764171033040e+07 9.7923706799891502e+07 1.1991767480384456e+08 1.4290626150129241e+08 1.6629318373851264e+08 1.8941035865400514e+08 2.1152261400963667e+08 2.3198674386055782e+08 2.5032564471045601e+08 2.6626127510977277e+08 2.7972727161787069e+08 2.9082197231139994e+08 2.9978949239060622e+08 3.0690347100188822e+08 3.1248537951776832e+08 3.1680055120474803e+08 3.2012685612582225e+08 3.2265830654827219e+08 3.2455612871865457e+08 3.2597039635317791e+08 3.2698173295664769e+08 3.2765457973991132e+08 3.2805941139135146e+08 3.2821390532255971e+08 3.2818095473110646e+08 3.2798982957395464e+08 3.2769044840062988e+08 3.2731183016746610e+08 3.2686596646694833e+08 3.2639720698862243e+08 3.2592564272807920e+08 3.2543766601117927e+08 3.2507844455010253e+08 3.2471118886457938e+08 3.2433450212812430e+08 3.2393922468082815e+08 3.2353123285297287e+08 3.2309577831388092e+08 3.2266338567254919e+08 3.2217242089598477e+08 3.2164704205450565e+08 3.2107759617900932e+08 3.2045654589810729e+08 3.1977473133683443e+08 3.1902183421981287e+08 3.1817986636268032e+08 3.1726634438979959e+08 3.1622432651581883e+08 3.1505614019606453e+08 3.1374484703306729e+08 3.1227221759858847e+08 3.1061945365697891e+08 3.0876769865927505e+08 3.0669305075298840e+08 3.0441355315743220e+08 3.0186787683464217e+08 2.9907390194236124e+08 2.9603808903241050e+08 2.9278424610761172e+08 2.8935287863899302e+08 2.8582108240442175e+08 2.8230077928316718e+08 2.7899386515154856e+08 2.7611700133009702e+08 2.7404861518780917e+08 2.7330141082831711e+08 2.7462989823053229e+08 2.7912284705217695e+08 2.8843072383131164e+08 3.0516431187806791e+08 3.3374924647140115e+08 3.5327376483230531e+08 +3.6175725241747876e+00 -5.9948306375527367e+07 -5.9930896070691049e+07 -5.9902917113277406e+07 -5.9865345775695518e+07 -5.9824904219758563e+07 -5.9793401856763296e+07 -5.9776561960711069e+07 -5.9765091880974717e+07 -5.9748791299518898e+07 -5.9724544750841945e+07 -5.9692272395029984e+07 -5.9650872198018238e+07 -5.9598607110041909e+07 -5.9533598008901037e+07 -5.9453793427574866e+07 -5.9356726773551188e+07 -5.9239418459433600e+07 -5.9098357625150748e+07 -5.8929405653263256e+07 -5.8727672512231603e+07 -5.8487392594705060e+07 -5.8201672923210226e+07 -5.7861116037155867e+07 -5.7449636106823377e+07 -5.6948643498253569e+07 -5.6347728502863586e+07 -5.5635799750079364e+07 -5.4795389483277984e+07 -5.3804496702478454e+07 -5.2637176749219432e+07 -5.1263121797382720e+07 -4.9646997474442720e+07 -4.7747678408712544e+07 -4.5517394770873681e+07 -4.2900804619028293e+07 -3.9834000464176297e+07 -3.6243508045137055e+07 -3.2045338527605571e+07 -2.7144225406700157e+07 -2.1433224032645680e+07 -1.4258790085258396e+07 -5.8528295540146902e+06 3.9533874715047991e+06 1.5329581340373067e+07 2.8433356951891895e+07 4.3390784355519377e+07 6.0270113846905008e+07 7.9049743754129767e+07 9.9584562569207653e+07 1.2157612041463494e+08 1.4455109760194027e+08 1.6791202302617595e+08 1.9099070213741791e+08 2.1305309770415783e+08 2.3345824604038230e+08 2.5173209865866435e+08 2.6759990825638014e+08 2.8099837615510893e+08 2.9202830276572293e+08 3.0093552008205360e+08 3.0799465335360193e+08 3.1352757915515643e+08 3.1779961122679543e+08 3.2108835445352453e+08 3.2358740973175436e+08 3.2545754311857677e+08 3.2684836605670124e+08 3.2784006942079884e+08 3.2849666143062830e+08 3.2888824421977246e+08 3.2903214149221504e+08 3.2899089467065632e+08 3.2879344446567005e+08 3.2848938058730435e+08 3.2810734898322201e+08 3.2765900702115381e+08 3.2718839192872256e+08 3.2671533829339939e+08 3.2622604726804161e+08 3.2586592513193017e+08 3.2549776966476172e+08 3.2512016899475753e+08 3.2472393585932755e+08 3.2431495861746794e+08 3.2387846590974581e+08 3.2344498913290602e+08 3.2295283837431836e+08 3.2242619017193025e+08 3.2185536817077088e+08 3.2123281673835278e+08 3.2054935380914122e+08 3.1979463610964733e+08 3.1895064514931470e+08 3.1803487412170774e+08 3.1699033532756060e+08 3.1581932243112713e+08 3.1450485599820209e+08 3.1302866243866116e+08 3.1137189797449493e+08 3.0951566037589347e+08 3.0743600267490840e+08 3.0515094843141246e+08 3.0259910863118112e+08 2.9979836873550802e+08 2.9675520494820035e+08 2.9349348293354714e+08 2.9005380627814108e+08 2.8651345751812416e+08 2.8298464141053104e+08 2.7966968471419305e+08 2.7678585496906251e+08 2.7471246128442699e+08 2.7396346115961832e+08 2.7529516962536097e+08 2.7979899922725660e+08 2.8912942048743755e+08 3.0590355856223136e+08 3.3455768887395316e+08 3.5292675475443757e+08 +3.6225408469490459e+00 -5.8577335211927220e+07 -5.8560094827913798e+07 -5.8532393542867281e+07 -5.8495173010865390e+07 -5.8455055987108834e+07 -5.8423703957409687e+07 -5.8406777887070909e+07 -5.8395094637253009e+07 -5.8378560784653284e+07 -5.8354077547326550e+07 -5.8321546860526547e+07 -5.8279859970652424e+07 -5.8227276757691935e+07 -5.8161912192568071e+07 -5.8081706767963104e+07 -5.7984185380626120e+07 -5.7866357847667843e+07 -5.7724699927573688e+07 -5.7555057094067879e+07 -5.7352520955002613e+07 -5.7111304539487176e+07 -5.6824490338027425e+07 -5.6482652353004903e+07 -5.6069657239031203e+07 -5.5566833312975571e+07 -5.4963719605750456e+07 -5.4249200346309543e+07 -5.3405758708860949e+07 -5.2411325728479296e+07 -5.1239878095418192e+07 -4.9861019663767152e+07 -4.8239318130726859e+07 -4.6333540928812765e+07 -4.4095802828710578e+07 -4.1470640293970406e+07 -3.8394021768110268e+07 -3.4792352057513133e+07 -3.0581533078235973e+07 -2.5666212782715563e+07 -1.9939401754353363e+07 -1.2746217450044410e+07 -4.3198228742346261e+06 5.5081922258554287e+06 1.6906990960597243e+07 3.0033317916980296e+07 4.5012022105022594e+07 6.1909742599944815e+07 8.0702904063656077e+07 1.0124417867258404e+08 1.2323288311235897e+08 1.4619380089958221e+08 1.6952829291538090e+08 1.9256807394907650e+08 2.1458026074884290e+08 2.3492614512168652e+08 2.5313473888673514e+08 2.6893458637567014e+08 2.8226544494436920e+08 2.9323056521816003e+08 3.0207748293192130e+08 3.0908179775951529e+08 3.1456578178470182e+08 3.1879472218169451e+08 3.2204595350968087e+08 3.2451266214216304e+08 3.2635515202272785e+08 3.2772257114500582e+08 3.2869467737067282e+08 3.2933504595682114e+08 3.2971340655567443e+08 3.2984672962258881e+08 3.2979720510362065e+08 3.2959344495095468e+08 3.2928471044695204e+08 3.2889927517727208e+08 3.2844846295325768e+08 3.2797599898763937e+08 3.2750146191898638e+08 3.2701086222693157e+08 3.2664984342006749e+08 3.2628079221831262e+08 3.2590228174605387e+08 3.2550509724946374e+08 3.2509513905820036e+08 3.2465761291630727e+08 3.2422305682450098e+08 3.2372972545624000e+08 3.2320181364263278e+08 3.2262962174854302e+08 3.2200557596257019e+08 3.2132047212966150e+08 3.2056394209065747e+08 3.1971793721626461e+08 3.1879992722571260e+08 3.1775287892288876e+08 3.1657905224362499e+08 3.1526142690220731e+08 3.1378168534784102e+08 3.1212093846509272e+08 3.1026023855055702e+08 3.0817559375335288e+08 3.0588500791928381e+08 3.0332703253040534e+08 3.0051955824121583e+08 2.9746907683628654e+08 2.9419951138085282e+08 2.9075156313365555e+08 2.8720270054372972e+08 2.8366540999312961e+08 2.8034244704121447e+08 2.7745168289102995e+08 2.7537330432349426e+08 2.7462251658919138e+08 2.7595743155385554e+08 2.8047209270836568e+08 2.8982495645859098e+08 3.0663946115880042e+08 3.3536247405792946e+08 3.5257833717064667e+08 +3.6275091697233042e+00 -5.7204497059377439e+07 -5.7187426446213752e+07 -5.7160003229192927e+07 -5.7123134075035706e+07 -5.7083341659153290e+07 -5.7052140171566643e+07 -5.7035128237261161e+07 -5.7023232182168618e+07 -5.7006465499988303e+07 -5.6981746126955666e+07 -5.6948957795198150e+07 -5.6906985043454409e+07 -5.6854084717872351e+07 -5.6788365910049699e+07 -5.6707761109285735e+07 -5.6609786742731154e+07 -5.6491442083728045e+07 -5.6349189571193144e+07 -5.6178858841821522e+07 -5.5975523228878200e+07 -5.5733374498792201e+07 -5.5445470731084548e+07 -5.5102357550580993e+07 -5.4687854368377790e+07 -5.4183207795267612e+07 -5.3577905805726156e+07 -5.2860808421715282e+07 -5.2014350059318297e+07 -5.1016394190258056e+07 -4.9840839332623564e+07 -4.8457201587387376e+07 -4.6829951391211197e+07 -4.4917749771932490e+07 -4.2672597035280973e+07 -4.0038909153674610e+07 -3.6952531803671457e+07 -3.3339750387764245e+07 -2.9116359361247525e+07 -2.4186923213468499e+07 -1.8444410155689158e+07 -1.1232612416455206e+07 -2.7859464426161707e+06 7.0636742990850620e+06 1.8484851538409084e+07 3.1633465726617616e+07 4.6633141962580070e+07 6.3548907080855921e+07 8.2355214033522472e+07 1.0290252478338690e+08 1.2488793370255964e+08 1.4783434374939436e+08 1.7114196770952952e+08 1.9414245066497225e+08 2.1610408219783574e+08 2.3639042269319054e+08 2.5453354943302956e+08 2.7026529575204170e+08 2.8352846624122816e+08 2.9442874959311771e+08 3.0321537223876071e+08 3.1016489662850928e+08 3.1559998070269197e+08 3.1978587807281810e+08 3.2299964785878569e+08 3.2543405879025733e+08 3.2724895079788101e+08 3.2859300726941538e+08 3.2954555268392992e+08 3.3016972937662613e+08 3.3053489459753233e+08 3.3065766602114588e+08 3.3059988241889530e+08 3.3038982747863919e+08 3.3007643446951669e+08 3.2968760526823837e+08 3.2923433080016154e+08 3.2876002471416163e+08 3.2828401016133767e+08 3.2779210745140231e+08 3.2743019598234451e+08 3.2706025309674370e+08 3.2668083695675254e+08 3.2628270543094438e+08 3.2587177075848520e+08 3.2543321592102450e+08 3.2499758534010816e+08 3.2450307873988599e+08 3.2397390907013154e+08 3.2340035352187985e+08 3.2277482018703973e+08 3.2208808292164415e+08 3.2132974879417187e+08 3.2048173920379198e+08 3.1956150035185921e+08 3.1851195396240878e+08 3.1733532630652791e+08 3.1601455643257916e+08 3.1453128302906746e+08 3.1286657184921265e+08 3.1100142992295289e+08 3.0891182074987274e+08 3.0661572840665197e+08 3.0405164534490317e+08 3.0123746730110478e+08 2.9817970157066166e+08 2.9490232835839176e+08 2.9144614615024388e+08 2.8788880846320719e+08 2.8434308204980469e+08 2.8101214918700373e+08 2.7811448218049061e+08 2.7603114141095960e+08 2.7527857423090041e+08 2.7661668111628205e+08 2.8114212454766601e+08 2.9051732869854212e+08 3.0737201644471043e+08 3.3616359849957901e+08 3.5222852109892136e+08 +3.6324774924975625e+00 -5.5829819991485514e+07 -5.5812919403318763e+07 -5.5785774560325891e+07 -5.5749256489399254e+07 -5.5709788692478515e+07 -5.5678738061410263e+07 -5.5661640579869486e+07 -5.5649532085701637e+07 -5.5632533019409508e+07 -5.5607578068358891e+07 -5.5574532781767882e+07 -5.5532275004627503e+07 -5.5479058585116543e+07 -5.5412986762785770e+07 -5.5331984061054379e+07 -5.5233558478698410e+07 -5.5114698797314480e+07 -5.4971854198145062e+07 -5.4800838553284511e+07 -5.4596707007684767e+07 -5.4353630166597426e+07 -5.4064641819754779e+07 -5.3720259374855042e+07 -5.3304255272604257e+07 -5.2797794762260437e+07 -5.2190314967344798e+07 -5.1470651896440536e+07 -5.0621191519861199e+07 -4.9619730148468271e+07 -4.8440088609299488e+07 -4.7051695818468906e+07 -4.5418925623401754e+07 -4.3500333440587327e+07 -4.1247806047454491e+07 -3.8605640030475572e+07 -3.5509559601347983e+07 -3.1885732288186155e+07 -2.7649846874378096e+07 -2.2706386464810602e+07 -1.6948279289861497e+07 -9.7180053612314239e+06 -1.2512309624901698e+06 8.6198026774691790e+06 2.0063131794037804e+07 3.3233768918382779e+07 4.8254112417422615e+07 6.5187575927439667e+07 8.4006642716876432e+07 1.0455957070624080e+08 1.2654124313279982e+08 1.4947269865895355e+08 1.7275302187097502e+08 1.9571380902484167e+08 2.1762454126822191e+08 2.3785106050488228e+08 2.5592851449073854e+08 2.7159202281795269e+08 2.8478742844127572e+08 2.9562284594642180e+08 3.0434917942522103e+08 3.1124394248761201e+08 3.1663016931821954e+08 3.2077307300984347e+08 3.2394943216734469e+08 3.2635159478596693e+08 3.2813893490728515e+08 3.2945967017536670e+08 3.3039269133138371e+08 3.3100070783763164e+08 3.3135270463276827e+08 3.3146494708293748e+08 3.3139892309213197e+08 3.3118258858311188e+08 3.3086454923069757e+08 3.3047233585957593e+08 3.3001660718373424e+08 3.2954046574188936e+08 3.2906297966281420e+08 3.2856977958969122e+08 3.2820697947062480e+08 3.2783614895621556e+08 3.2745583128759670e+08 3.2705675706793255e+08 3.2664485038731593e+08 3.2620527159716481e+08 3.2576857135731906e+08 3.2527289490787071e+08 3.2474247314256591e+08 3.2416756018461174e+08 3.2354054611177921e+08 3.2285218289234269e+08 3.2209205293468702e+08 3.2124204783520961e+08 3.2031959023310870e+08 3.1926755718980944e+08 3.1808814137532145e+08 3.1676424135850209e+08 3.1527745226628727e+08 3.1360879492788565e+08 3.1173923131329107e+08 3.0964468050620896e+08 3.0734310675905764e+08 3.0477294396600711e+08 3.0195209283594501e+08 2.9888707610295129e+08 2.9560193085107964e+08 2.9213755234819788e+08 2.8857177833288473e+08 2.8501765467340887e+08 2.8167878827876747e+08 2.7877424999429047e+08 2.7668596972498822e+08 2.7593163127067935e+08 2.7727291548442709e+08 2.8180909187084234e+08 2.9120653423743099e+08 3.0810122127785301e+08 3.3696105876250219e+08 3.5187731554132134e+08 +3.6374458152718208e+00 -5.4453331705942966e+07 -5.4436600356639154e+07 -5.4409734214310579e+07 -5.4373567225188427e+07 -5.4334424501016065e+07 -5.4303525181289271e+07 -5.4286342469764009e+07 -5.4274021900654532e+07 -5.4256790899166711e+07 -5.4231600932704359e+07 -5.4198299385066010e+07 -5.4155757424741529e+07 -5.4102225936063126e+07 -5.4035802334425479e+07 -5.3954403214979462e+07 -5.3855528189446256e+07 -5.3736155600038417e+07 -5.3592721432463080e+07 -5.3421023867017172e+07 -5.3216099946949922e+07 -5.2972099218207143e+07 -5.2682031302657485e+07 -5.2336385551699333e+07 -5.1918887710056685e+07 -5.1410622011509791e+07 -5.0800974934946842e+07 -5.0078758669830240e+07 -4.9226311053997569e+07 -4.8221361641600996e+07 -4.7037654050822772e+07 -4.5644530582980417e+07 -4.4006269169380382e+07 -4.2081320410300791e+07 -3.9821458493321665e+07 -3.7170861725996912e+07 -3.4065134158541411e+07 -3.0430326975122999e+07 -2.6182025076302804e+07 -2.1224632259598162e+07 -1.5451039162732527e+07 -8.2024266081789788e+06 2.8429292223825486e+05 1.0176546414219093e+07 2.1641800523270320e+07 3.4834196115073845e+07 4.9874902054864623e+07 6.6825717885048710e+07 8.5657159286461100e+07 1.0621528637754977e+08 1.2819278249396175e+08 1.5110883828784931e+08 1.7436143002148756e+08 1.9728212593030468e+08 2.1914161734005851e+08 2.3930804046672606e+08 2.5731961840758100e+08 2.7291475415313935e+08 2.8604232007948637e+08 2.9681284446574283e+08 3.0547889603808904e+08 3.1231892798062557e+08 3.1765634115159869e+08 3.2175630120875394e+08 3.2489530120450598e+08 3.2726526533845758e+08 3.2902509991037923e+08 3.3032255570207983e+08 3.3123608937425286e+08 3.3182797757832271e+08 3.3216683303825188e+08 3.3226856929029781e+08 3.3219432368639690e+08 3.3197172488562596e+08 3.3164905139332950e+08 3.3125346364141625e+08 3.3079528881137800e+08 3.3031731878991765e+08 3.2983836715032709e+08 3.2934387537507677e+08 3.2898019062243253e+08 3.2860847653764540e+08 3.2822726148281008e+08 3.2782724890887934e+08 3.2741437469680959e+08 3.2697377670145959e+08 3.2653601163773960e+08 3.2603917072704667e+08 3.2550750263205123e+08 3.2493123851413977e+08 3.2430275052092016e+08 3.2361276883180624e+08 3.2285085131084079e+08 3.2199885991664553e+08 3.2107419368549973e+08 3.2001968543184078e+08 3.1883749428834468e+08 3.1751047853077072e+08 3.1602018992574614e+08 3.1434760458372086e+08 3.1247363962268412e+08 3.1037416994381064e+08 3.0806713992149705e+08 3.0549092536423188e+08 3.0266343184386474e+08 2.9959119746197194e+08 2.9629831592008001e+08 2.9282577882342339e+08 2.8925160728469718e+08 2.8568912503033870e+08 2.8234236151639944e+08 2.7943098356131637e+08 2.7733778651546639e+08 2.7658168496517098e+08 2.7792613190166903e+08 2.8247299187670887e+08 2.9189257018024290e+08 3.0882707259508169e+08 3.3775485149687177e+08 3.5152472948385727e+08 +3.6424141380460791e+00 -5.3075058290485553e+07 -5.3058497056851558e+07 -5.3031909109869353e+07 -5.2996093867150567e+07 -5.2957276656812273e+07 -5.2926529066176735e+07 -5.2909261446465008e+07 -5.2896729161621220e+07 -5.2879266677158751e+07 -5.2853842262546152e+07 -5.2820285151560560e+07 -5.2777459855766341e+07 -5.2723614328907788e+07 -5.2656840190015696e+07 -5.2575046144078359e+07 -5.2475723457220025e+07 -5.2355840084616661e+07 -5.2211818879261971e+07 -5.2039442402499348e+07 -5.1833729682841308e+07 -5.1588809309535027e+07 -5.1297666858749963e+07 -5.0950763787149265e+07 -5.0531779418783762e+07 -5.0021717319844432e+07 -4.9409913531743944e+07 -4.8685156619624600e+07 -4.7829736603123598e+07 -4.6821316685045756e+07 -4.5633563758574963e+07 -4.4235734081887826e+07 -4.2592010345024787e+07 -4.0660739128859811e+07 -3.8393582971579179e+07 -3.5734603010337360e+07 -3.2619284438730508e+07 -2.8973563628311262e+07 -2.4712923385708749e+07 -1.9741690276959207e+07 -1.3952719731969338e+07 -6.6859064273734093e+06 1.8205946278541924e+06 1.1733874630202746e+07 2.3220826598122176e+07 3.6434716025443673e+07 5.1495479556846961e+07 6.8463301807194546e+07 8.7306733035384238e+07 1.0786964186564884e+08 1.2984252301994091e+08 1.5274273544849902e+08 1.7596716694194821e+08 1.9884737844718221e+08 2.2065528995682496e+08 2.4076134464840189e+08 2.5870684568586174e+08 2.7423347648473930e+08 2.8729312983012724e+08 2.9799873546957272e+08 3.0660451374783105e+08 3.1338984586845130e+08 3.1867848983424556e+08 3.2273555699266368e+08 3.2583724984156686e+08 3.2817506575463134e+08 3.2990744146216232e+08 3.3118165978165364e+08 3.3207574296580040e+08 3.3265153492648548e+08 3.3297727627863991e+08 3.3306852921428210e+08 3.3298608085157281e+08 3.3275723309405917e+08 3.3242993770464414e+08 3.3203098538912779e+08 3.3157037247608340e+08 3.3109058066281193e+08 3.3061016943616539e+08 3.3011439162574953e+08 3.2974982625938046e+08 3.2937723266666824e+08 3.2899512437183666e+08 3.2859417778715736e+08 3.2818034052424973e+08 3.2773872807521862e+08 3.2729990302721041e+08 3.2680190304721689e+08 3.2626899439353919e+08 3.2569138537162417e+08 3.2506143028100878e+08 3.2436983761424601e+08 3.2360614080327314e+08 3.2275217233764964e+08 3.2182530760734481e+08 3.2076833559651852e+08 3.1958338196540004e+08 3.1825326488273919e+08 3.1675949295428175e+08 3.1508299778011888e+08 3.1320465183235258e+08 3.1110028606413716e+08 3.0878782491786367e+08 3.0620558658865839e+08 3.0337148140122211e+08 3.0029206275391394e+08 2.9699148070324141e+08 2.9351082274698657e+08 2.8992829252387053e+08 2.8635749036079299e+08 2.8300286617254919e+08 2.8008468018209308e+08 2.7798658910275704e+08 2.7722873264242792e+08 2.7857632768314993e+08 2.8313382183608425e+08 2.9257543370730960e+08 3.0954956741284174e+08 3.3854497344067413e+08 3.5117077189637429e+08 +3.6473824608203373e+00 -5.1695028414041065e+07 -5.1678637736097082e+07 -5.1652328493517064e+07 -5.1616864814134426e+07 -5.1578372896096990e+07 -5.1547777224743053e+07 -5.1530425029404044e+07 -5.1517681383980632e+07 -5.1499987872158326e+07 -5.1474329581100672e+07 -5.1440517608208098e+07 -5.1397409830557577e+07 -5.1343251302530378e+07 -5.1276127875365779e+07 -5.1193940401959889e+07 -5.1094171844653815e+07 -5.0973779824378788e+07 -5.0829174123848855e+07 -5.0656121759319015e+07 -5.0449623831622675e+07 -5.0203788076223418e+07 -4.9911576146515816e+07 -4.9563421766466379e+07 -4.9142958115908913e+07 -4.8631108442736201e+07 -4.8017158559078850e+07 -4.7289873601125121e+07 -4.6431496085429028e+07 -4.5419623270328961e+07 -4.4227845809208676e+07 -4.2825334490326479e+07 -4.1176177439023577e+07 -3.9238618015596144e+07 -3.6964208050648533e+07 -3.4296892621350974e+07 -3.1172039370819356e+07 -2.7515471389998607e+07 -2.3242571180594414e+07 -1.8257590151526898e+07 -1.2453350906304816e+07 -5.1684750344102848e+06 3.3576436315821782e+06 1.3291756514698127e+07 2.4800178967519064e+07 3.8035297444768012e+07 5.3115813702403672e+07 7.0100296656213626e+07 8.8955333377125919e+07 1.0952260737169839e+08 1.3149043608828358e+08 1.5437436310585582e+08 1.7757020757281229e+08 2.0040954380271107e+08 2.2216553882450041e+08 2.4221095527961433e+08 2.6009018098188138e+08 2.7554817668630075e+08 2.8853984650668085e+08 2.9918050940733683e+08 3.0772602434800863e+08 3.1445668902887434e+08 3.1969660910784763e+08 3.2371083478930324e+08 3.2677527305100846e+08 3.2908099143989992e+08 3.3078595531247950e+08 3.3203697843922657e+08 3.3291164835026139e+08 3.3347137629941332e+08 3.3378403090727121e+08 3.3386482351213634e+08 3.3377419132350457e+08 3.3353911000110614e+08 3.3320720499852639e+08 3.3280489796255141e+08 3.3234185505529201e+08 3.3186024824866831e+08 3.3137838341629142e+08 3.3088132524348700e+08 3.3051588328742790e+08 3.3014241425252658e+08 3.2975941686793649e+08 3.2935754061936778e+08 3.2894274479046375e+08 3.2850012264282000e+08 3.2806024245464349e+08 3.2756108880271310e+08 3.2702694536606377e+08 3.2644799770128149e+08 3.2581658234260923e+08 3.2512338619613767e+08 3.2435791837562788e+08 3.2350198206936568e+08 3.2257292897924346e+08 3.2151350467453158e+08 3.2032580140833664e+08 3.1899259742785436e+08 3.1749535838003653e+08 3.1581497156041688e+08 3.1393226500402993e+08 3.1182302594813699e+08 3.0950515885097080e+08 3.0691692476634187e+08 3.0407623866137064e+08 3.0098966916078615e+08 2.9768142241429085e+08 2.9419268136536723e+08 2.9060183133019733e+08 2.8702274797787297e+08 2.8366029959192699e+08 2.8073533722893775e+08 2.7863237487907648e+08 2.7787277170152497e+08 2.7922350021524847e+08 2.8379157909264976e+08 2.9325512207368118e+08 3.1026870282643855e+08 3.3933142141762787e+08 3.5081545173243219e+08 +3.6523507835945956e+00 -5.0313269629313409e+07 -5.0297049695289165e+07 -5.0271018984609924e+07 -5.0235906857111454e+07 -5.0197740735586986e+07 -5.0167297142866783e+07 -5.0149860712368190e+07 -5.0136906062686250e+07 -5.0118981982750505e+07 -5.0093090391545936e+07 -5.0059024262141019e+07 -5.0015634861872703e+07 -4.9961164375734054e+07 -4.9893692916017890e+07 -4.9811113521970734e+07 -4.9710900894095734e+07 -4.9590002371985078e+07 -4.9444814731047869e+07 -4.9271089516390324e+07 -4.9063809988714643e+07 -4.8817063133015648e+07 -4.8523786803223386e+07 -4.8174387153469652e+07 -4.7752451496652335e+07 -4.7238823113379188e+07 -4.6622737795656972e+07 -4.5892937446406722e+07 -4.5031617395438135e+07 -4.4016309364419788e+07 -4.2820528253837690e+07 -4.1413359956828579e+07 -3.9758798712413907e+07 -3.7814985460386336e+07 -3.5533362267894328e+07 -3.2857759263773669e+07 -2.9723427848115198e+07 -2.6056079364188492e+07 -2.1770997797445148e+07 -1.6772361472579025e+07 -1.0952962544726925e+07 -3.6501625896377177e+06 4.8954094723366313e+06 1.4850161326114716e+07 2.6379826658080675e+07 3.9635909255610079e+07 5.4735873368550293e+07 7.1736671503602609e+07 9.0602929846584409e+07 1.1117415322936356e+08 1.3313649322001743e+08 1.5600369437791482e+08 1.7917052701368079e+08 2.0196859938806024e+08 2.2367234381171310e+08 2.4365685474896410e+08 2.6146960910546568e+08 2.7685884177823502e+08 2.8978245905989653e+08 3.0035815685915178e+08 3.0884341975537729e+08 3.1551945045535898e+08 3.2071069282547712e+08 3.2468212913270044e+08 3.2770936590708947e+08 3.2998303789838064e+08 3.3166063730658567e+08 3.3288850779284060e+08 3.3374380186247146e+08 3.3428749820407808e+08 3.3458709356533486e+08 3.3465744892812139e+08 3.3455865192460412e+08 3.3431735248602474e+08 3.3398085019300610e+08 3.3357519830693781e+08 3.3310973351106358e+08 3.3262631852075666e+08 3.3214300607181114e+08 3.3164467321509820e+08 3.3127835869659030e+08 3.3090401828907377e+08 3.3052013596803045e+08 3.3011733440640163e+08 3.2970158449982369e+08 3.2925795741296822e+08 3.2881702693280023e+08 3.2831672501028895e+08 3.2778135257147920e+08 3.2720107253000009e+08 3.2656820373815227e+08 3.2587341161670554e+08 3.2510618107429206e+08 3.2424828616575187e+08 3.2331705486347234e+08 3.2225518973801798e+08 3.2106474969945824e+08 3.1972847326126432e+08 3.1822778331156403e+08 3.1654352304879427e+08 3.1465647627822328e+08 3.1254238675615865e+08 3.1021913890252763e+08 3.0762493710239887e+08 3.0477770085556084e+08 3.0168401394196630e+08 2.9836813834179521e+08 2.9487135199895859e+08 2.9127222105721724e+08 2.8768489526716292e+08 2.8431465919146353e+08 2.8138295214538550e+08 2.7927514130684054e+08 2.7851379961161983e+08 2.7986764695465833e+08 2.8444626106166124e+08 2.9393163260822093e+08 3.1098447601052558e+08 3.4011419233730978e+08 3.5045877792919159e+08 +3.6573191063688539e+00 -4.8929809743369937e+07 -4.8913759428578980e+07 -4.8888007510880105e+07 -4.8853247342637762e+07 -4.8815407509495899e+07 -4.8785116285773121e+07 -4.8767595961257137e+07 -4.8754430671569623e+07 -4.8736276486795813e+07 -4.8710152175964303e+07 -4.8675832599481203e+07 -4.8632162441700339e+07 -4.8577381046307459e+07 -4.8509562816571109e+07 -4.8426593016422115e+07 -4.8325938126889504e+07 -4.8204535259089157e+07 -4.8058768244487949e+07 -4.7884373231298871e+07 -4.7676315727869138e+07 -4.7428662072845504e+07 -4.7134326444164708e+07 -4.6783687589710094e+07 -4.6360287233766139e+07 -4.5844889042131349e+07 -4.5226678996776909e+07 -4.4494375963605687e+07 -4.3630128402846515e+07 -4.2611402908865020e+07 -4.1411639117286339e+07 -3.9999838602629639e+07 -3.8339902397401974e+07 -3.6389869823150307e+07 -3.4101074128864966e+07 -3.1417231608479708e+07 -2.8273478727839921e+07 -2.4595416615870301e+07 -2.0298232530444071e+07 -1.5286033783358308e+07 -9.4515844557565134e+06 -2.1309991973812836e+06 6.4338617514713807e+06 1.6409058392727187e+07 2.7959738774733942e+07 4.1236520428393707e+07 5.6355627530751310e+07 7.3372395530711785e+07 9.2249492100158885e+07 1.1282424990590203e+08 1.3478066608031440e+08 1.5763070253543830e+08 1.8076810052367499e+08 2.0352452275578514e+08 2.2517568494947061e+08 2.4509902560493338e+08 2.6284511502004132e+08 2.7816545892642510e+08 2.9102095657957691e+08 3.0153166853471571e+08 3.0995669200925571e+08 3.1657812325794959e+08 3.2172073494941157e+08 3.2564943466143465e+08 3.2863952358450890e+08 3.3088120073039085e+08 3.3253148338487762e+08 3.3373624405274975e+08 3.3457219992752486e+08 3.3509989723548299e+08 3.3538646098137558e+08 3.3544640229385614e+08 3.3533945956308329e+08 3.3509195751279235e+08 3.3475087029150677e+08 3.3434188345140326e+08 3.3387400488965601e+08 3.3338878853649974e+08 3.3290403446670425e+08 3.3240443261060470e+08 3.3203724956037349e+08 3.3166204185306162e+08 3.3127727875234592e+08 3.3087355623201263e+08 3.3045685673963249e+08 3.3001222947661144e+08 3.2957025355728567e+08 3.2906880877023482e+08 3.2853221311488014e+08 3.2795060696797866e+08 3.2731629158333385e+08 3.2661991099703699e+08 3.2585092602729666e+08 3.2499108176236683e+08 3.2405768240454960e+08 3.2299338794072092e+08 3.2180022400352693e+08 3.2046088955883104e+08 3.1895676493824625e+08 3.1726864944903547e+08 3.1537728287558764e+08 3.1325836572705287e+08 3.1092976233250552e+08 3.0832962087921566e+08 3.0547586529168218e+08 3.0237509443243212e+08 2.9905162585090041e+08 2.9554683204349798e+08 2.9193945913206428e+08 2.8834392968772155e+08 2.8496594246012670e+08 2.8202752244581395e+08 2.7991488591925555e+08 2.7915181391284215e+08 2.8050876542959666e+08 2.8509786523077387e+08 2.9460496271495068e+08 3.1169688421783400e+08 3.4089328319636905e+08 3.5010075940729797e+08 +3.6622874291431122e+00 -4.7544675303829342e+07 -4.7528795493598647e+07 -4.7503322350773573e+07 -4.7468914153305046e+07 -4.7431400629005268e+07 -4.7401262099912740e+07 -4.7383658215580128e+07 -4.7370282662605099e+07 -4.7351898840634234e+07 -4.7325542394816324e+07 -4.7290970084853262e+07 -4.7247020040227279e+07 -4.7191928790483326e+07 -4.7123765059923157e+07 -4.7040406375933684e+07 -4.6939311042356223e+07 -4.6817405995247766e+07 -4.6671062185576700e+07 -4.6496000439263262e+07 -4.6287168600554779e+07 -4.6038612466020614e+07 -4.5743222661792159e+07 -4.5391350693653762e+07 -4.4966492976423033e+07 -4.4449333915436342e+07 -4.3829009893401638e+07 -4.3094216936013050e+07 -4.2227056951982975e+07 -4.1204931818914250e+07 -4.0001206397231236e+07 -3.8584798520714045e+07 -3.6919516696882479e+07 -3.4963299432788983e+07 -3.2667372106433257e+07 -2.9975338291719288e+07 -2.6822220830009975e+07 -2.3133512170191135e+07 -1.8824304630735289e+07 -1.3798636580268513e+07 -7.9492463966616588e+06 -6.1101490522224107e+05 7.9729701335021639e+06 1.7968417113370039e+07 2.9539884501430374e+07 4.2837100022100709e+07 5.7975045263470188e+07 7.5007438029259369e+07 9.3894989916421592e+07 1.1447286800207220e+08 1.3642292647889572e+08 1.5925536100253049e+08 1.8236290352147910e+08 2.0507729162189287e+08 2.2667554243151459e+08 2.4653745055410531e+08 2.6421668384208062e+08 2.7946801544310945e+08 2.9225532829276621e+08 3.0270103527358532e+08 3.1106583327066427e+08 3.1763270066163206e+08 3.2272672955190247e+08 3.2661274611913216e+08 3.2956574135957575e+08 3.3177547563406289e+08 3.3339848958098370e+08 3.3458018352127415e+08 3.3539683906094104e+08 3.3590857007791996e+08 3.3618212997155112e+08 3.3623168052649581e+08 3.3611661123257273e+08 3.3586292213047343e+08 3.3551726238135952e+08 3.3510495051000202e+08 3.3463466632122689e+08 3.3414765543634689e+08 3.3366146574933773e+08 3.3316060058326030e+08 3.3279255303608435e+08 3.3241648210465431e+08 3.3203084238467228e+08 3.3162620326318890e+08 3.3120855868082780e+08 3.3076293600825727e+08 3.3031991950624973e+08 3.2981733726491570e+08 3.2927952418282652e+08 3.2869659820695883e+08 3.2806084307530904e+08 3.2736288154111487e+08 3.2659215044460231e+08 3.2573036607682520e+08 3.2479480882807899e+08 3.2372809651696759e+08 3.2253222156455797e+08 3.2118984357700437e+08 3.1968230052868730e+08 3.1799034804489022e+08 3.1609468209596598e+08 3.1397096017846489e+08 3.1163702647856450e+08 3.0903097345730686e+08 3.0617072935399407e+08 3.0306290804337585e+08 2.9973188238060284e+08 2.9621911896812117e+08 2.9260354305516541e+08 2.8899984877055472e+08 2.8561414695783591e+08 2.8266904571584034e+08 2.8055160631993407e+08 2.7978681221469867e+08 2.8114685323804355e+08 2.8574638915855318e+08 2.9527510987104255e+08 3.1240592477930176e+08 3.4166869107558203e+08 3.4974140507076943e+08 +3.6672557519173705e+00 -4.6157894408716887e+07 -4.6142184885725059e+07 -4.6116990651915953e+07 -4.6082934646711670e+07 -4.6045747564013407e+07 -4.6015762015787579e+07 -4.5998074892533123e+07 -4.5984489465343729e+07 -4.5965876478291512e+07 -4.5939288486010648e+07 -4.5904464160591371e+07 -4.5860235105430506e+07 -4.5804835061965123e+07 -4.5736327106482960e+07 -4.5652581068449028e+07 -4.5551047117251605e+07 -4.5428642067399882e+07 -4.5281724052835464e+07 -4.5105998652614743e+07 -4.4896396135025851e+07 -4.4646941859513082e+07 -4.4350503025072165e+07 -4.3997404059872814e+07 -4.3571096349896632e+07 -4.3052185395297013e+07 -4.2429758191551954e+07 -4.1692488121400878e+07 -4.0822430860961840e+07 -3.9796923982945666e+07 -3.8589258063508086e+07 -3.7168267775120780e+07 -3.5497669783506975e+07 -3.3535302586594056e+07 -3.1232284640131265e+07 -2.8532107914247382e+07 -2.5369682936978500e+07 -2.1670395011755306e+07 -1.7349243305621538e+07 -1.2310199312043959e+07 -6.4459780726943044e+06 9.0976029677015066e+05 9.5127043468474653e+06 1.9528206958153620e+07 3.1120233101862088e+07 4.4437617184913427e+07 5.9594095740897410e+07 7.6641768401900604e+07 9.5539393196371108e+07 1.1611997825274062e+08 1.3806324636959851e+08 1.6087764335653716e+08 1.8395491158498606e+08 2.0662688386467040e+08 2.2817189661282477e+08 2.4797211246218944e+08 2.6558430084072319e+08 2.8076649878538924e+08 2.9348556356390578e+08 3.0386624804428881e+08 3.1217083582284069e+08 3.1868317600670475e+08 3.2372867081459337e+08 3.2757205835385841e+08 3.3048801460731995e+08 3.3266585840420341e+08 3.3426165202347994e+08 3.3542032259214371e+08 3.3621771586776853e+08 3.3671351350310850e+08 3.3697409743892616e+08 3.3701328062939078e+08 3.3689010401172411e+08 3.3663024347284144e+08 3.3628002363478637e+08 3.3586439667996848e+08 3.3539171501968539e+08 3.3490291644452184e+08 3.3441529715109235e+08 3.3391317436998755e+08 3.3354426636321181e+08 3.3316733628744161e+08 3.3278082411123180e+08 3.3237527274981546e+08 3.3195668757629198e+08 3.3151007426473320e+08 3.3106602204085255e+08 3.3056230775932091e+08 3.3002328304494298e+08 3.2943904352126181e+08 3.2880185549388158e+08 3.2810232053355521e+08 3.2732985161800385e+08 3.2646613640721446e+08 3.2552843144017041e+08 3.2445931278217775e+08 3.2326073970867109e+08 3.2191533265194553e+08 3.2040438743184650e+08 3.1870861619883835e+08 3.1680867131758434e+08 3.1468016750641716e+08 3.1234092875627899e+08 3.0972899227396637e+08 3.0686229050366229e+08 3.0374745226164693e+08 3.0040890544535744e+08 2.9688821031637549e+08 2.9326447039971459e+08 2.8965265011863071e+08 2.8625927031604612e+08 2.8330751961102390e+08 2.8118530018203378e+08 2.8041879219692761e+08 2.8178190804833841e+08 2.8639183047579825e+08 2.9594207162806523e+08 3.1311159510404021e+08 3.4244041314221680e+08 3.4938072380688274e+08 +3.6722240746916288e+00 -4.4769494136128239e+07 -4.4753954690250628e+07 -4.4729039606528513e+07 -4.4695336134898566e+07 -4.4658475672590680e+07 -4.4628643442874998e+07 -4.4610873390141577e+07 -4.4597078486331895e+07 -4.4578236810885310e+07 -4.4551417864289090e+07 -4.4516342245917365e+07 -4.4471835062002324e+07 -4.4416127291191839e+07 -4.4347276393342353e+07 -4.4263144538560718e+07 -4.4161173804897048e+07 -4.4038270938793629e+07 -4.3890781321292676e+07 -4.3714395359809645e+07 -4.3504025835626647e+07 -4.3253677776192419e+07 -4.2956195078478836e+07 -4.2601875258503452e+07 -4.2174124954313487e+07 -4.1653471118372932e+07 -4.1028951571473956e+07 -4.0289217251134388e+07 -3.9416277920945212e+07 -3.8387407261516906e+07 -3.7175822057239853e+07 -3.5750274400183991e+07 -3.4074389798985951e+07 -3.2105907549408928e+07 -2.9795840135301877e+07 -2.7087569040728215e+07 -2.3915893792493131e+07 -2.0206094083780434e+07 -1.5873077717840448e+07 -1.0820751379106192e+07 -4.9418091363529069e+06 2.4312964767699661e+06 1.1053034184558375e+07 2.1088397469215941e+07 3.2700753920093946e+07 4.6038041154913448e+07 6.1212748237495273e+07 7.8275356162731245e+07 9.7182671964053795e+07 1.1776555152700686e+08 1.3970159785153207e+08 1.6249752332832643e+08 1.8554410045175695e+08 2.0817327752423695e+08 2.2966472801105806e+08 2.4940299435308138e+08 2.6694795143732032e+08 2.8206089655534387e+08 2.9471165189371103e+08 3.0502729794466186e+08 3.1327169207007873e+08 3.1972954274757653e+08 3.2472655302775812e+08 3.2852736631775820e+08 3.3140633880435365e+08 3.3355234493243158e+08 3.3512096693420649e+08 3.3625665775059992e+08 3.3703482704268014e+08 3.3751472437171173e+08 3.3776236037303376e+08 3.3779119969171709e+08 3.3765993506483698e+08 3.3739391875737977e+08 3.3703915130726725e+08 3.3662021924233449e+08 3.3614514828216362e+08 3.3565456886850959e+08 3.3516552598614210e+08 3.3466215129037720e+08 3.3429238686488581e+08 3.3391460172688591e+08 3.3352722126102883e+08 3.3312076202420634e+08 3.3270124076159239e+08 3.3225364158456868e+08 3.3180855850313759e+08 3.3130371760014737e+08 3.3076348705243897e+08 3.3017794026657629e+08 3.2953932619950449e+08 3.2883822534116966e+08 3.2806402691998506e+08 3.2719839013308531e+08 3.2625854762840235e+08 3.2518703413223183e+08 3.2398577584038109e+08 3.2263735419996101e+08 3.2112302307624125e+08 3.1942345135300410e+08 3.1751924799807799e+08 3.1538598518525600e+08 3.1304146665925747e+08 3.1042367484310687e+08 3.0755054627772862e+08 3.0442872464919996e+08 3.0108269263415152e+08 2.9755410370538580e+08 2.9392223881197697e+08 2.9030233140709847e+08 2.8690131023732245e+08 2.8394294185772073e+08 2.8181596524887210e+08 2.8104775160859287e+08 2.8241392759878868e+08 2.8703418688304794e+08 2.9660584561069876e+08 3.1381389267894214e+08 3.4320844664754045e+08 3.4901872448606366e+08 +3.6771923974658871e+00 -4.3379501603733182e+07 -4.3364133002269298e+07 -4.3339497008480601e+07 -4.3306146047185950e+07 -4.3269612349677078e+07 -4.3239933759985864e+07 -4.3222081087680757e+07 -4.3208077108546302e+07 -4.3189007225692101e+07 -4.3161957920356311e+07 -4.3126631736243576e+07 -4.3081847310721211e+07 -4.3025832884633809e+07 -4.2956640333515681e+07 -4.2872124206784151e+07 -4.2769718534327120e+07 -4.2646320048532814e+07 -4.2498261441417143e+07 -4.2321218024831556e+07 -4.2110085182003126e+07 -4.1858847714072600e+07 -4.1560326341546223e+07 -4.1204791834116116e+07 -4.0775606364223644e+07 -4.0253218695212983e+07 -3.9626617686860114e+07 -3.8884432029608041e+07 -3.8008625895272575e+07 -3.6976409486709356e+07 -3.5760926290180720e+07 -3.4330846399755001e+07 -3.2649704853240464e+07 -3.0675142552862771e+07 -2.8358066962301195e+07 -2.5641750198785730e+07 -2.2460882100924201e+07 -1.8740638287431009e+07 -1.4395836984749636e+07 -9.3303221327425931e+06 -3.4367691866389634e+06 3.9535637619318655e+06 1.2593929505030381e+07 2.2648958261334546e+07 3.4281416381242029e+07 4.7638341260581471e+07 6.2830972128490433e+07 7.9908170937776133e+07 9.8824796367090181e+07 1.1940955882883081e+08 1.4133795316843405e+08 1.6411497480232996e+08 1.8713044601887262e+08 2.0971645080367780e+08 2.3115401730514297e+08 2.5083007940865195e+08 2.6830762120573801e+08 2.8335119649995148e+08 2.9593358292041463e+08 3.0618417620060533e+08 3.1436839453771544e+08 3.2077179445364761e+08 3.2572037059052944e+08 3.2947866506612772e+08 3.3232070952573031e+08 3.3443493120634073e+08 3.3597643062843031e+08 3.3708918557299203e+08 3.3784816936915183e+08 3.3831219963075554e+08 3.3854691584985781e+08 3.3856543488780612e+08 3.3842610163931888e+08 3.3815394528643852e+08 3.3779464273822933e+08 3.3737241556152058e+08 3.3689496348889506e+08 3.3640261009855855e+08 3.3591214965168422e+08 3.3540752874613553e+08 3.3503691194599658e+08 3.3465827583146638e+08 3.3427003124549228e+08 3.3386266850033545e+08 3.3344221565484416e+08 3.3299363538930357e+08 3.3254752631859404e+08 3.3204156421620810e+08 3.3150013363784528e+08 3.3091328588049161e+08 3.3027325263484555e+08 3.2957059341146851e+08 3.2879467380382299e+08 3.2792712471459955e+08 3.2698515486050868e+08 3.2591125804331398e+08 3.2470732744592619e+08 3.2335590571674311e+08 3.2183820496918875e+08 3.2013485102822089e+08 3.1822640967269421e+08 3.1608841076678115e+08 3.1373863775761706e+08 3.1111501875534862e+08 3.0823549428924048e+08 3.0510672284285158e+08 3.0175324160964626e+08 2.9821679682574916e+08 2.9457684601057416e+08 2.9094889038232487e+08 2.8754026449505800e+08 2.8457531025228387e+08 2.8244359933310193e+08 2.8167368826866341e+08 2.8304290969724709e+08 2.8767345615291095e+08 2.9726642951638961e+08 3.1451281506772065e+08 3.4397278892867512e+08 3.4865541596177590e+08 +3.6821607202401454e+00 -4.1987945153662227e+07 -4.1972746945688374e+07 -4.1948390059009664e+07 -4.1915391756000243e+07 -4.1879185073388264e+07 -4.1849660314803891e+07 -4.1831725343375027e+07 -4.1817512690693982e+07 -4.1798215085525848e+07 -4.1770936020362854e+07 -4.1735360002358764e+07 -4.1690299227647595e+07 -4.1633979224007115e+07 -4.1564446315246955e+07 -4.1479547468723200e+07 -4.1376708709721386e+07 -4.1252816810592942e+07 -4.1104191838577993e+07 -4.0926494086349785e+07 -4.0714601628273249e+07 -4.0462479145429686e+07 -4.0162924307778649e+07 -3.9806181305244446e+07 -3.9375568127656378e+07 -3.8851455709497318e+07 -3.8222784164029457e+07 -3.7478160133199565e+07 -3.6599502518785208e+07 -3.5563958461267978e+07 -3.4344598643849894e+07 -3.2910011746421855e+07 -3.1223643023743037e+07 -2.9243035794595145e+07 -2.6918993455876414e+07 -2.4194679878331732e+07 -2.1004676526594292e+07 -1.7274056480945606e+07 -1.2917550177628255e+07 -7.8389408743514316e+06 -1.9308877683060253e+06 5.4765323391137477e+06 1.4135360232715368e+07 2.4209859022713926e+07 3.5862189992185287e+07 4.9238486921498157e+07 6.4448736890592948e+07 8.1540182465559512e+07 1.0046573667668530e+08 1.2105197129731302e+08 1.4297228470956784e+08 1.6572997181660974e+08 1.8871392434270683e+08 2.1125638206791252e+08 2.3263974533534747e+08 2.5225335096839654e+08 2.6966329587117046e+08 2.8463738650980318e+08 2.9715134641738069e+08 3.0733687416605598e+08 3.1546093587193513e+08 3.2180992480807126e+08 3.2671011800996965e+08 3.3042594975824934e+08 3.3323112244582057e+08 3.3531361330953270e+08 3.3682803951414210e+08 3.3791790272631985e+08 3.3865773972009689e+08 3.3910593631610000e+08 3.3932776103149652e+08 3.3933598347736627e+08 3.3918860106874305e+08 3.3891032044566756e+08 3.3854649535019994e+08 3.3812098308442730e+08 3.3764115810221213e+08 3.3714703760738862e+08 3.3665516562692291e+08 3.3614930422189355e+08 3.3577783909392452e+08 3.3539835609110963e+08 3.3500925155747855e+08 3.3460098967477149e+08 3.3417960975491232e+08 3.3373005318143392e+08 3.3328292299291366e+08 3.3277584511733067e+08 3.3223322031553876e+08 3.3164507788110000e+08 3.3100363232277691e+08 3.3029942227303588e+08 3.2952178980434632e+08 3.2865233769241071e+08 3.2770825068442643e+08 3.2663198207118875e+08 3.2542539208980542e+08 3.2407098477739221e+08 3.2254993069754493e+08 3.2084281282337379e+08 3.1893015395478195e+08 3.1678744188022965e+08 3.1443243969870389e+08 3.1180302167807132e+08 3.0891713222694838e+08 3.0578144455511421e+08 3.0242055010951048e+08 2.9887628744078690e+08 2.9522828978627807e+08 2.9159232486259365e+08 2.8817613093281502e+08 2.8520462266017461e+08 2.8306820031656510e+08 2.8229660006425470e+08 2.8366885222096175e+08 2.8830963612776726e+08 2.9792382111595500e+08 3.1520835991203624e+08 3.4473343740554947e+08 3.4829080707041430e+08 +3.6871290430144037e+00 -4.0594851343455084e+07 -4.0579823383322239e+07 -4.0555745977048546e+07 -4.0523100446443774e+07 -4.0487221175594628e+07 -4.0457850431465738e+07 -4.0439833491267376e+07 -4.0425412566525072e+07 -4.0405887727940224e+07 -4.0378379504957490e+07 -4.0342554389775231e+07 -4.0297218163355097e+07 -4.0240593665398151e+07 -4.0170721701186381e+07 -4.0085441694351211e+07 -3.9982171709486499e+07 -3.9857788613102354e+07 -3.9708599912247747e+07 -3.9530250956927374e+07 -3.9317602602389604e+07 -3.9064599516168922e+07 -3.8764016444129288e+07 -3.8406071163452752e+07 -3.7974037765449539e+07 -3.7448209717371538e+07 -3.6817478601278260e+07 -3.6070429209742650e+07 -3.5188935497084498e+07 -3.4150081957957238e+07 -3.2926866968853749e+07 -3.1487798380769487e+07 -2.9796232354672547e+07 -2.7809615437532932e+07 -2.5478647914219152e+07 -2.2746386530808207e+07 -1.9547305692942921e+07 -1.5806377478985857e+07 -1.1438246320896344e+07 -6.3466368547495725e+06 -4.2419437113391230e+05 7.0001724556019902e+06 1.5677296358810131e+07 2.5771069515555944e+07 3.7443044342162520e+07 5.0838447649034157e+07 6.6066012102487147e+07 8.3171360597610608e+07 1.0210546328868032e+08 1.2269276020681526e+08 1.4460456500979272e+08 1.6734248856312868e+08 1.9029451163934094e+08 2.1279304984367985e+08 2.3412189310320786e+08 2.5367279252968392e+08 2.7101496131009299e+08 2.8591945461988127e+08 2.9836493229412657e+08 3.0848538332272971e+08 3.1654930883873433e+08 3.2284392760749197e+08 3.2769578990138352e+08 3.3136921565561509e+08 3.3413757333851820e+08 3.3618838742029178e+08 3.3767579009265488e+08 3.3874280596791744e+08 3.3946353505619013e+08 3.3989593154858893e+08 3.4010489316563767e+08 3.4010284280426431e+08 3.3994743076944119e+08 3.3966304170406145e+08 3.3929470664869678e+08 3.3886591934137481e+08 3.3838372966811270e+08 3.3788784894993591e+08 3.3739457147322124e+08 3.3688747528361076e+08 3.3651516587813485e+08 3.3613484007835484e+08 3.3574487977222818e+08 3.3533572312525326e+08 3.3491342064262307e+08 3.3446289254454976e+08 3.3401474611419308e+08 3.3350655789462072e+08 3.3296274468031359e+08 3.3237331386782706e+08 3.3173046286739326e+08 3.3102470953463131e+08 3.3024537253562725e+08 3.2937402668724924e+08 3.2842783272792310e+08 3.2734920385156631e+08 3.2613996741649103e+08 3.2478258903636533e+08 3.2325819792581332e+08 3.2154733441612393e+08 3.1963047853570426e+08 3.1748307623231995e+08 3.1512287020625335e+08 3.1248768135371912e+08 3.0959545785404694e+08 3.0645288757213730e+08 3.0308461594405764e+08 2.9953257338701910e+08 2.9587656800197452e+08 2.9223263273660851e+08 2.8880890746471924e+08 2.8583087701742136e+08 2.8368976615022427e+08 2.8291648495194942e+08 2.8429175311661696e+08 2.8894272472067034e+08 2.9857801825288451e+08 3.1590052492974097e+08 3.4549038958328474e+08 3.4792490663119465e+08 +3.6920973657886620e+00 -3.9200247703794159e+07 -3.9185390279601216e+07 -3.9161592309960090e+07 -3.9129299561170146e+07 -3.9093747900401406e+07 -3.9064531413139813e+07 -3.9046432838757187e+07 -3.9031804043898173e+07 -3.9012052464299351e+07 -3.8984315688757449e+07 -3.8948242217849098e+07 -3.8902631442193821e+07 -3.8845703538712628e+07 -3.8775493827609301e+07 -3.8689834227205195e+07 -3.8586134885546476e+07 -3.8461262817630991e+07 -3.8311513035102911e+07 -3.8132516022309683e+07 -3.7919115505273782e+07 -3.7665236245032758e+07 -3.7363630190125138e+07 -3.7004488872684553e+07 -3.6571042770443313e+07 -3.6043508246545322e+07 -3.5410728568065971e+07 -3.4661266877669543e+07 -3.3776952505673073e+07 -3.2734807718663577e+07 -3.1507759084066749e+07 -3.0064234210581288e+07 -2.8367500856154513e+07 -2.6374909609092508e+07 -2.4037058598392785e+07 -2.1296898568436917e+07 -1.8088798181866087e+07 -1.4337630051824048e+07 -9.9579543914033622e+06 -4.8534392733986937e+06 1.0832815708014595e+06 8.5244544198461287e+06 1.7219707942023508e+07 2.7332559576902121e+07 3.9023949103410259e+07 5.2438193046751484e+07 6.7682767445436761e+07 8.4801675298810393e+07 1.0374394672347505e+08 1.2433189696721008e+08 1.4623476674947229e+08 1.6895249938768473e+08 1.9187218428433549e+08 2.1432643281983232e+08 2.3560044177197301e+08 2.5508838774680731e+08 2.7236260355067098e+08 2.8719738900846237e+08 2.9957433059514803e+08 3.0962969527951527e+08 3.1763350632412910e+08 3.2387379676185060e+08 3.2867738098676461e+08 3.3230845812297881e+08 3.3504005807552505e+08 3.3705924981324154e+08 3.3851967895699030e+08 3.3956389214518017e+08 3.4026555242669803e+08 3.4068218253737092e+08 3.4087830958543992e+08 3.4086601029747283e+08 3.4070258824157715e+08 3.4041210661381906e+08 3.4003927422176075e+08 3.3960722194419557e+08 3.3912267581324190e+08 3.3862504176298857e+08 3.3813036483398294e+08 3.3762203957928550e+08 3.3724888994912815e+08 3.3686772544618100e+08 3.3647691354546982e+08 3.3606686651059335e+08 3.3564364598013401e+08 3.3519215114390254e+08 3.3474299335001910e+08 3.3423370022024596e+08 3.3368870440772492e+08 3.3309799152010441e+08 3.3245374195262116e+08 3.3174645288542098e+08 3.3096541969236439e+08 3.3009218939980710e+08 3.2914389869869393e+08 3.2806292109939671e+08 3.2685105114913237e+08 3.2549071622580719e+08 3.2396300439767373e+08 3.2224841356153291e+08 3.2032738118400991e+08 3.1817531160662681e+08 3.1580992708087707e+08 3.1316899560094941e+08 3.1027046900962132e+08 3.0712104975464141e+08 3.0374543699771667e+08 3.0018565257346374e+08 2.9652167859214729e+08 2.9286981196436316e+08 2.8943859207487744e+08 2.8645407132867336e+08 2.8430829485388315e+08 2.8353334095687532e+08 2.8491161039920300e+08 2.8957271991426563e+08 2.9922901884252971e+08 3.1658930791534865e+08 3.4624364305005008e+08 3.4755772344604892e+08 +3.6970656885629203e+00 -3.7804161635761991e+07 -3.7789474557925925e+07 -3.7765955907993309e+07 -3.7734016265050925e+07 -3.7698792446620397e+07 -3.7669730536888167e+07 -3.7651550664829180e+07 -3.7636714403931126e+07 -3.7616736579047553e+07 -3.7588771859568901e+07 -3.7552450779090874e+07 -3.7506566361574382e+07 -3.7449336146797284e+07 -3.7378790003718957e+07 -3.7292752383698888e+07 -3.7188625562555060e+07 -3.7063266758446313e+07 -3.6912958552441142e+07 -3.6733316640656836e+07 -3.6519167710178643e+07 -3.6264416722780883e+07 -3.5961792957096599e+07 -3.5601461868427970e+07 -3.5166610606723309e+07 -3.4637378795622706e+07 -3.4002561604226448e+07 -3.3250700725274798e+07 -3.2363581189326268e+07 -3.1318163453741029e+07 -3.0087302775874238e+07 -2.8639347110154886e+07 -2.6937476503595982e+07 -2.4938946400456034e+07 -2.2594253731468737e+07 -1.9846244363428902e+07 -1.6629182532865698e+07 -1.2867842924659127e+07 -8.4767033176628351e+06 -3.3593772776789423e+06 2.5915106798512572e+06 1.0049348602124531e+07 1.8762565109182987e+07 2.8894299119084261e+07 4.0604874031882197e+07 5.4037692811380319e+07 6.9298972703715324e+07 8.6431096648203805e+07 1.0538115762670778e+08 1.2596935312513359e+08 1.4786286275528270e+08 1.7055997879024407e+08 1.9344691881260639e+08 2.1585650984699604e+08 2.3707537266487709e+08 2.5650012043087298e+08 2.7370620877083069e+08 2.8847117799661911e+08 3.0077953150042886e+08 3.1076980177216786e+08 3.1871352133321750e+08 3.2489952629348123e+08 3.2965488609587491e+08 3.3324367262719285e+08 3.3593857262731677e+08 3.3792619685647982e+08 3.3935970279225558e+08 3.4038115819499069e+08 3.4106378896844238e+08 3.4146468657710606e+08 3.4164800770921576e+08 3.4162548346956474e+08 3.4145407106857234e+08 3.4115751280976349e+08 3.4078019574027812e+08 3.4034488858737403e+08 3.3985799424712664e+08 3.3935861376519883e+08 3.3886254343378043e+08 3.3835299483802748e+08 3.3797900903874403e+08 3.3759700992936105e+08 3.3720535061475867e+08 3.3679441757142252e+08 3.3637028351005423e+08 3.3591782672491169e+08 3.3546766244992661e+08 3.3495726984633243e+08 3.3441109725386280e+08 3.3381910859842026e+08 3.3317346734280568e+08 3.3246465009441817e+08 3.3168192904891986e+08 3.3080682360975510e+08 3.2985644638298762e+08 3.2877313160827380e+08 3.2755864108994377e+08 3.2619536415719467e+08 3.2466434793467200e+08 3.2294604809278011e+08 3.2102085974562865e+08 3.1886414586320543e+08 3.1649360819847590e+08 3.1384696231431979e+08 3.1094216360739154e+08 3.0778592903743160e+08 3.0440301122773004e+08 3.0083552298125678e+08 2.9716361956272221e+08 2.9350386057641363e+08 2.9006518281658471e+08 2.8707420366734093e+08 2.8492378451571071e+08 2.8414716617190355e+08 2.8552842215285957e+08 2.9019961976131797e+08 2.9987682087294269e+08 3.1727470673976564e+08 3.4699319547764695e+08 3.4718926629952025e+08 +3.7020340113371786e+00 -3.6406620068597637e+07 -3.6392103852193885e+07 -3.6368864498552948e+07 -3.6337277918216325e+07 -3.6302382064510137e+07 -3.6273475051334567e+07 -3.6255214219303228e+07 -3.6240170899882428e+07 -3.6219967328938194e+07 -3.6191775277623668e+07 -3.6155207338387281e+07 -3.6109050191099338e+07 -3.6051518764635667e+07 -3.5980637510898620e+07 -3.5894223452308528e+07 -3.5789671037189439e+07 -3.5663827741723262e+07 -3.5512963781384304e+07 -3.5332680141839981e+07 -3.5117786561810099e+07 -3.4862168311580159e+07 -3.4558532127568856e+07 -3.4197017557057053e+07 -3.3760768708936773e+07 -3.3229848833334621e+07 -3.2593005219288819e+07 -3.1838758309937596e+07 -3.0948849161225900e+07 -2.9900176841258384e+07 -2.8665525797504883e+07 -2.7213164919458427e+07 -2.5506187236893833e+07 -2.3501753865819149e+07 -2.1150261497781891e+07 -1.8394452247301273e+07 -1.5168487242389053e+07 -1.1397044776836067e+07 -6.9945219791105166e+06 -1.8644799621735800e+06 4.1004636355101131e+06 1.1574825435298560e+07 2.0305838055977181e+07 3.0456258130639434e+07 4.2185788967869289e+07 5.5636916732924178e+07 7.0914597765408456e+07 8.8059594839097947e+07 1.0701706676945536e+08 1.2760510036283073e+08 1.4948882599969468e+08 1.7216490142473453e+08 1.9501869191861400e+08 2.1738325993754679e+08 2.3854666726583305e+08 2.5790797454970703e+08 2.7504576329953945e+08 2.8974081004847813e+08 3.0198052532358360e+08 3.1190569466316122e+08 3.1978934699059767e+08 3.2592111033747512e+08 3.3062830016466266e+08 3.3417485473646301e+08 3.3683311306145251e+08 3.3878922501399994e+08 3.4019585837596482e+08 3.4119460114392197e+08 3.4185824190589279e+08 3.4224344104862237e+08 3.4241398503980631e+08 3.4238125991715813e+08 3.4220187691769087e+08 3.4189925800907987e+08 3.4151746895638740e+08 3.4107891704663438e+08 3.4058968276034915e+08 3.4008856275589514e+08 3.3959110507830536e+08 3.3908033887002480e+08 3.3870552096003950e+08 3.3832269134333557e+08 3.3793018879823864e+08 3.3751837412721795e+08 3.3709333105572730e+08 3.3663991711406612e+08 3.3618875124318278e+08 3.3567726460560036e+08 3.3512992105487710e+08 3.3453666294227231e+08 3.3388963688232660e+08 3.3317929901022422e+08 3.3239489845867658e+08 3.3151792717625040e+08 3.3056547364654613e+08 3.2947983325136751e+08 3.2826273511940992e+08 3.2689653071974212e+08 3.2536222643553954e+08 3.2364023591986543e+08 3.2171091214297938e+08 3.1954957693844491e+08 3.1717391151134872e+08 3.1452157946239460e+08 3.1161053963506061e+08 3.0844752342875689e+08 3.0505733666465521e+08 3.0148218266397703e+08 2.9780238899064153e+08 2.9413477667284459e+08 2.9068867781305909e+08 2.8769127217615908e+08 2.8553623329187340e+08 2.8475795875872099e+08 2.8614218652993309e+08 2.9082342238382041e+08 3.0052142240326625e+08 3.1795671934990782e+08 3.4773904462112045e+08 3.4681954395865858e+08 +3.7070023341114369e+00 -3.5007650490717702e+07 -3.4993304755906411e+07 -3.4970345272562549e+07 -3.4939111874945760e+07 -3.4904544040035188e+07 -3.4875792177999929e+07 -3.4857450722448267e+07 -3.4842200756516494e+07 -3.4821771942228988e+07 -3.4793353174883589e+07 -3.4756539132203199e+07 -3.4710110171962619e+07 -3.4652278638793230e+07 -3.4581063601892725e+07 -3.4494274692880012e+07 -3.4389298577475853e+07 -3.4262973044779815e+07 -3.4111556010069691e+07 -3.3930633826613851e+07 -3.3714999375646509e+07 -3.3458518344108198e+07 -3.3153875054347351e+07 -3.2791183314968206e+07 -3.2353544481472757e+07 -3.1820945797791924e+07 -3.1182086891691748e+07 -3.0425467157394227e+07 -2.9532784002281122e+07 -2.8480875526227184e+07 -2.7242455868215848e+07 -2.5785715443540100e+07 -2.4073660959619746e+07 -2.2063360021696333e+07 -1.9705110042276252e+07 -1.6941550510110464e+07 -1.3706740763059204e+07 -9.9252642411186695e+06 -5.5114392054328946e+06 -3.6877636794735584e+05 5.6101111751223141e+06 1.3100855415489910e+07 2.1849497047632240e+07 3.2018406676788170e+07 4.3766663836533494e+07 5.7235834695679493e+07 7.2529612622650698e+07 8.9687140179983318e+07 1.0865164504887947e+08 1.2923911049972790e+08 1.5111262960182214e+08 1.7376724209950078e+08 1.9658748045629781e+08 2.1890666226518664e+08 2.4001430721958992e+08 2.5931193422725770e+08 2.7638125361535054e+08 2.9100627376996326e+08 3.0317730251276207e+08 3.1303736594027656e+08 3.2086097653902876e+08 3.2693854314081800e+08 3.3159761823617029e+08 3.3510200012094897e+08 3.3772367554328829e+08 3.3964833084243399e+08 3.4102814257570851e+08 3.4200421810747296e+08 3.4264890855086559e+08 3.4301844341816652e+08 3.4317623916475528e+08 3.4313333732036263e+08 3.4294600353787279e+08 3.4263734001184779e+08 3.4225109170472831e+08 3.4180930517939895e+08 3.4131773922451198e+08 3.4081488661626935e+08 3.4031604765412301e+08 3.3980406956639564e+08 3.3942842360643369e+08 3.3904476758391511e+08 3.3865142599359810e+08 3.3823873407991332e+08 3.3781278652076149e+08 3.3735842021731609e+08 3.3690625763873875e+08 3.3639368241039354e+08 3.3584517372709602e+08 3.3525065247132319e+08 3.3460224849456352e+08 3.3389039756086469e+08 3.3310432585477620e+08 3.3222549803755438e+08 3.3127097843366259e+08 3.3018302397918493e+08 3.2896333119565612e+08 3.2759421388069916e+08 3.2605663787728983e+08 3.2433097503016806e+08 3.2239753637571877e+08 3.2023160284503782e+08 3.1785083504735714e+08 3.1519284508969885e+08 3.1227559515486383e+08 3.0910583101070380e+08 3.0570841141096091e+08 3.0212562974649781e+08 2.9843798502386224e+08 2.9476255842478287e+08 2.9130907525684988e+08 2.8830527506589305e+08 2.8614563940656763e+08 2.8536571694590330e+08 2.8675290175062793e+08 2.9144412597321135e+08 3.0116282156477821e+08 3.1863534376818174e+08 3.4848118831809950e+08 3.4644856517291713e+08 +3.7119706568856952e+00 -3.3607280172385149e+07 -3.3593105308194295e+07 -3.3570424971000880e+07 -3.3539545110198561e+07 -3.3505305591699127e+07 -3.3476709108299520e+07 -3.3458287364689581e+07 -3.3442831169044759e+07 -3.3422177618003923e+07 -3.3393532754322905e+07 -3.3356473367888883e+07 -3.3309773516134340e+07 -3.3251642986522827e+07 -3.3180095500177022e+07 -3.3092933335889321e+07 -3.2987535421907876e+07 -3.2860729915398944e+07 -3.2708762497012325e+07 -3.2527204965963054e+07 -3.2310833437221352e+07 -3.2053494122941829e+07 -3.1747849059917297e+07 -3.1383986488028720e+07 -3.0944965297763266e+07 -3.0410697095780261e+07 -2.9769834068084892e+07 -2.9010854761119630e+07 -2.8115413260441013e+07 -2.7060287119868264e+07 -2.5818120672568075e+07 -2.4357026451611351e+07 -2.2639925538399532e+07 -2.0623792846076570e+07 -1.8258827469685502e+07 -1.5487567399718661e+07 -1.2243971502955094e+07 -8.4525299029984809e+06 -4.0274837757890066e+06 1.1277045181733461e+06 7.1204240946113979e+06 1.4627409102760570e+07 2.3393512419581983e+07 3.3580714900134429e+07 4.5347468648641907e+07 5.8834416678631060e+07 7.4143987372388035e+07 9.1313703094529375e+07 1.1028486348847573e+08 1.3087135549217007e+08 1.5273424682723817e+08 1.7536697577683640e+08 1.9815326143880397e+08 2.2042669616490000e+08 2.4147827433054969e+08 2.6071198374402079e+08 2.7771266634646392e+08 2.9226755790936589e+08 3.0436985364981496e+08 3.1416480771770585e+08 3.2192840333971924e+08 3.2795181906214094e+08 3.3256283545813161e+08 3.3602510455162048e+08 3.3861025633552843e+08 3.4050351099319553e+08 3.4185655235097295e+08 3.4281000628967714e+08 3.4343578630163789e+08 3.4378969123808473e+08 3.4393476775543886e+08 3.4388171344220346e+08 3.4368644876114655e+08 3.4337175669918895e+08 3.4298106190088624e+08 3.4253605092402089e+08 3.4204216159224337e+08 3.4153758330740899e+08 3.4103736912897158e+08 3.4052418489789855e+08 3.4014771495144337e+08 3.3976323662729359e+08 3.3936906018001258e+08 3.3895549540994048e+08 3.3852864788879192e+08 3.3807333402106768e+08 3.3762017962634391e+08 3.3710652125288022e+08 3.3655685326495159e+08 3.3596107518460506e+08 3.3531130018199140e+08 3.3459794375322682e+08 3.3381020924858719e+08 3.3292953421075064e+08 3.3197295876733226e+08 3.3088270182117075e+08 3.2966042735558242e+08 3.2828841168422574e+08 3.2674758031329846e+08 3.2501826348766017e+08 3.2308073051884758e+08 3.2091022167172277e+08 3.1852437690899861e+08 3.1586075731484592e+08 3.1293732830298424e+08 3.0976084993789524e+08 3.0635623364197117e+08 3.0276586242540735e+08 2.9907040588118404e+08 2.9538720407227057e+08 2.9192637340902162e+08 2.8891621061565608e+08 2.8675200115203190e+08 2.8597043903029406e+08 2.8736056610348427e+08 2.9206172878953415e+08 3.0180101655958790e+08 3.1931057809242970e+08 3.4921962448848528e+08 3.4607633867405194e+08 +3.7169389796599535e+00 -3.2205536226873811e+07 -3.2191531963475827e+07 -3.2169131328702979e+07 -3.2138604911744557e+07 -3.2104693843642037e+07 -3.2076253001956783e+07 -3.2057751306632306e+07 -3.2042089302550633e+07 -3.2021211525312167e+07 -3.1992341189074345e+07 -3.1955037222840752e+07 -3.1908067405617904e+07 -3.1849638995085534e+07 -3.1777760399159953e+07 -3.1690226581688106e+07 -3.1584408778759487e+07 -3.1457125571047902e+07 -3.1304610470300879e+07 -3.1122420800283454e+07 -3.0905316001351304e+07 -3.0647122919696286e+07 -3.0340481435585439e+07 -2.9975454390603703e+07 -2.9535058499542803e+07 -2.8999130101997554e+07 -2.8356274162494455e+07 -2.7594948581378784e+07 -2.6696764449803349e+07 -2.5638439198877152e+07 -2.4392547859742694e+07 -2.2927125676484130e+07 -2.1205008802116305e+07 -1.9183080277806956e+07 -1.6811441843845375e+07 -1.4032531121079106e+07 -1.0780207824893292e+07 -6.9788702999279136e+06 -2.5426844181302004e+06 2.6249337643084009e+06 8.6313732491372265e+06 1.6154457121839687e+07 2.4937854578139126e+07 3.5143153021373011e+07 4.6928173501186036e+07 6.0432632756011195e+07 7.5757692216866732e+07 9.2939254122328207e+07 1.1191669323829296e+08 1.3250180743350935e+08 1.5435365108839691e+08 1.7696407757391509e+08 1.9971601203869250e+08 2.2194334113328552e+08 2.4293855056342092e+08 2.6210810753492403e+08 2.7903998827039409e+08 2.9352465135612345e+08 3.0555816944981796e+08 3.1528801223426437e+08 3.2299162087149042e+08 3.2896093257117099e+08 3.3352394708465034e+08 3.3694416390051538e+08 3.3949285179726946e+08 3.4135476221064442e+08 3.4268108475170499e+08 3.4361196298340482e+08 3.4421887264358270e+08 3.4455718214441651e+08 3.4468956856747949e+08 3.4462638612877214e+08 3.4442321050136405e+08 3.4410250603377455e+08 3.4370737754164785e+08 3.4325915229991603e+08 3.4276294789688891e+08 3.4225665087137562e+08 3.4175506754966462e+08 3.4124068291648662e+08 3.4086339304911089e+08 3.4047809652956456e+08 3.4008308941545999e+08 3.3966865617826611e+08 3.3924091322271514e+08 3.3878465659038317e+08 3.3833051527376294e+08 3.3781577920447040e+08 3.3726495774345589e+08 3.3666792915973359e+08 3.3601679002632123e+08 3.3530193567294228e+08 3.3451254673018605e+08 3.3363003379041857e+08 3.3267141274792725e+08 3.3157886488429433e+08 3.3035402171281040e+08 3.2897912225229907e+08 3.2743505187413460e+08 3.2570209943262607e+08 3.2376049272421682e+08 3.2158543158160269e+08 3.1919453527421111e+08 3.1652531433037961e+08 3.1359573728861743e+08 3.1041257843821377e+08 3.0700080160507399e+08 3.0340287896854943e+08 2.9969964985113418e+08 2.9600871192523676e+08 2.9254057059940243e+08 2.8952407717282712e+08 2.8735531688742661e+08 2.8657212337566370e+08 2.8796517794399953e+08 2.9267622916190863e+08 3.0243600566093934e+08 3.1998242049559182e+08 3.4995435113447630e+08 3.4570287317601973e+08 +3.7219073024342118e+00 -3.0802445657625988e+07 -3.0788611749237496e+07 -3.0766491052806742e+07 -3.0736318318137243e+07 -3.0702735884498794e+07 -3.0674450989348970e+07 -3.0655869679010797e+07 -3.0640002291271903e+07 -3.0618900802587867e+07 -3.0589805621796634e+07 -3.0552257843818143e+07 -3.0505018991740197e+07 -3.0446293821015973e+07 -3.0374085461416457e+07 -3.0286181599708974e+07 -3.0179945825402860e+07 -3.0052187198240232e+07 -2.9899127126833685e+07 -2.9716308538725674e+07 -2.9498474291431192e+07 -2.9239431974411372e+07 -2.8931799440845791e+07 -2.8565614304992348e+07 -2.8123851396113720e+07 -2.7586272158280801e+07 -2.6941434555760622e+07 -2.6177776044622481e+07 -2.5276865050069999e+07 -2.4215359304713365e+07 -2.2965765042714562e+07 -2.1496040813692395e+07 -1.9768938541222285e+07 -1.7741250215809725e+07 -1.5362981186983071e+07 -1.2576469835487744e+07 -9.3154780457016099e+06 -5.5043139206388630e+06 -1.0570698084689565e+06 4.1228824942225623e+06 1.0142929553836057e+07 1.7681970162757900e+07 2.6482494001153871e+07 3.6705691339843675e+07 4.8508748577906057e+07 6.2030453097937532e+07 7.7370697463999867e+07 9.4563763919448689e+07 1.1354710557580571e+08 1.3413043855493777e+08 1.5597081594458002e+08 1.7855852276186648e+08 2.0127570958809721e+08 2.2345657682779208e+08 2.4439511804215506e+08 2.6350029019152448e+08 2.8036320631372559e+08 2.9477754314097255e+08 3.0674224076071918e+08 3.1640697185397696e+08 3.2405062273054409e+08 3.2996587824824792e+08 3.3448094847513759e+08 3.3785917413981730e+08 3.4037145838407123e+08 3.4220208133227599e+08 3.4350173691766214e+08 3.4441008556882823e+08 3.4499816514761591e+08 3.4532091385919279e+08 3.4544063943951732e+08 3.4536735330893004e+08 3.4515628675419050e+08 3.4482958605989933e+08 3.4443003670425415e+08 3.4397860740650183e+08 3.4348009625161749e+08 3.4297208742998248e+08 3.4246914104372776e+08 3.4195356175281119e+08 3.4157545603279883e+08 3.4118934542616546e+08 3.4079351183793294e+08 3.4037821452489698e+08 3.3994958066504687e+08 3.3949238607058293e+08 3.3903726272875816e+08 3.3852145441549551e+08 3.3796948531595391e+08 3.3737121255333978e+08 3.3671871618786937e+08 3.3600237148400378e+08 3.3521133646809655e+08 3.3432699494941550e+08 3.3336633855404025e+08 3.3227151135281700e+08 3.3104411245897889e+08 3.2966634378328973e+08 3.2811905076712269e+08 3.2638248108182186e+08 3.2443682121899557e+08 3.2225723081392920e+08 3.1986130839503139e+08 3.1718651440357560e+08 3.1425082039533341e+08 3.1106101481197733e+08 3.0764211361909688e+08 3.0403667771435982e+08 3.0032571529271114e+08 2.9662708036296660e+08 2.9315166522636288e+08 2.9012887315159374e+08 2.8795558503982782e+08 2.8717076841268814e+08 2.8856673569549483e+08 2.9328762548789054e+08 3.0306778721309412e+08 3.2065086922566658e+08 3.5068536634061265e+08 3.4532817737488049e+08 +3.7268756252084700e+00 -2.9398035924276259e+07 -2.9384372979148250e+07 -2.9362531565091357e+07 -2.9332712525465149e+07 -2.9299458839542273e+07 -2.9271330171780299e+07 -2.9252669582454365e+07 -2.9236597238033909e+07 -2.9215272556863256e+07 -2.9185953163812820e+07 -2.9148162346172929e+07 -2.9100655394390773e+07 -2.9041634589470848e+07 -2.8969097818103638e+07 -2.8880825527906980e+07 -2.8774173707559191e+07 -2.8645941951628324e+07 -2.8492339631708574e+07 -2.8308895358455498e+07 -2.8090335498710886e+07 -2.7830448494755592e+07 -2.7521830302641615e+07 -2.7154493480675936e+07 -2.6711371263616603e+07 -2.6172150572986983e+07 -2.5525342594626356e+07 -2.4759364542763069e+07 -2.3855742505691089e+07 -2.2791074942876332e+07 -2.1537799797623519e+07 -2.0063799520863511e+07 -1.8331742506966181e+07 -1.6298330518354977e+07 -1.3913473478940977e+07 -1.1119411659916533e+07 -7.8498104354937198e+06 -4.0288892044179952e+06 4.2933142981255660e+05 5.6215218880299600e+06 1.1655063984477518e+07 1.9209918981553994e+07 2.8027401238698710e+07 3.8268300234255590e+07 5.0089164149944335e+07 6.3627847970981881e+07 7.8982973528104365e+07 9.6187203258599460e+07 1.1517607190586811e+08 1.3575722122549865e+08 1.5758571510217977e+08 1.8015028676675320e+08 2.0283233157818982e+08 2.2496638306657508e+08 2.4584795905028477e+08 2.6488851645972601e+08 2.8168230755103928e+08 2.9602622243533707e+08 3.0792205856276995e+08 3.1752167906497115e+08 3.2510540263030684e+08 3.3096665078474003e+08 3.3543383509310520e+08 3.3877013134177333e+08 3.4124607264766228e+08 3.4304546528847665e+08 3.4431850607909471e+08 3.4520437151450729e+08 3.4577366147054118e+08 3.4608088418783712e+08 3.4618797829350412e+08 3.4610461299290687e+08 3.4588567559660751e+08 3.4555299490247607e+08 3.4514903754691643e+08 3.4469441442390275e+08 3.4419360484990311e+08 3.4368389118435419e+08 3.4317958781791520e+08 3.4266281961780584e+08 3.4228390211544776e+08 3.4189698153251398e+08 3.4150032566419071e+08 3.4108416866876841e+08 3.4065464843698704e+08 3.4019652068495268e+08 3.3974042021780407e+08 3.3922354511483449e+08 3.3867043421409893e+08 3.3807092360028166e+08 3.3741707690455228e+08 3.3669924942838728e+08 3.3590657670827675e+08 3.3502041593880898e+08 3.3405773444172645e+08 3.3296063948841619e+08 3.3173069786160022e+08 3.3035007455334073e+08 3.2879957527547431e+08 3.2705940672781533e+08 3.2510971430566382e+08 3.2292561768259722e+08 3.2052469459817219e+08 3.1784435587510514e+08 3.1490257597849900e+08 3.1170615743195069e+08 3.0828016807453972e+08 3.0466725707242906e+08 3.0094860063465029e+08 2.9724230783304536e+08 2.9375965575621229e+08 2.9073059703467137e+08 2.8855280410231000e+08 2.8776637263904828e+08 2.8916523784822899e+08 2.9389591623268092e+08 3.0369635962987012e+08 3.2131592260464120e+08 3.5141266827136821e+08 3.4495225994869781e+08 +3.7318439479827283e+00 -2.7992333620348752e+07 -2.7978841213313058e+07 -2.7957280011443343e+07 -2.7927814488297924e+07 -2.7894889796899196e+07 -2.7866917616089705e+07 -2.7848178086695656e+07 -2.7831901213730220e+07 -2.7810353863099460e+07 -2.7780810894401744e+07 -2.7742777813171763e+07 -2.7695003701356921e+07 -2.7635688393322129e+07 -2.7562824568052806e+07 -2.7474185471865077e+07 -2.7367119538578283e+07 -2.7238416953432046e+07 -2.7084275117442455e+07 -2.6900208403852072e+07 -2.6680926781492297e+07 -2.6420199655403007e+07 -2.6110601214580093e+07 -2.5742119133545727e+07 -2.5297645344350521e+07 -2.4756792620164473e+07 -2.4108025591178402e+07 -2.3339741432429712e+07 -2.2433424225200880e+07 -2.1365613582120020e+07 -2.0108679663023584e+07 -1.8630429417004298e+07 -1.6893448410739131e+07 -1.4854349002375828e+07 -1.2462946656535409e+07 -9.6613846662421376e+06 -6.3832332169972947e+06 -2.5526245404112265e+06 1.9164907266682736e+06 7.1208231828748612e+06 1.3167747578166649e+07 2.0738274400959149e+07 2.9572546913656440e+07 3.9830950163229704e+07 5.1669390576498941e+07 6.5224787738657057e+07 8.0594490930315450e+07 9.7809543029777244e+07 1.1680356376096064e+08 1.3738212795221704e+08 1.5919832241511589e+08 1.8173934516870090e+08 2.0438585565939081e+08 2.2647273982904398e+08 2.4729705603029996e+08 2.6627277124025187e+08 2.8299727920533353e+08 2.9727067855090749e+08 3.0909761396850699e+08 3.1863212647960991e+08 3.2615595440065610e+08 3.3196324498159873e+08 3.3638260250704694e+08 3.3967703167829448e+08 3.4211669123498535e+08 3.4388491110123599e+08 3.4513138955582350e+08 3.4599481837608498e+08 3.4654535935525995e+08 3.4683709102078074e+08 3.4693158313457322e+08 3.4683816327373189e+08 3.4661137518719035e+08 3.4627273076713079e+08 3.4586437830823088e+08 3.4540657161145979e+08 3.4490347196467078e+08 3.4439206041588080e+08 3.4388640615842956e+08 3.4336845480094403e+08 3.4298872958857620e+08 3.4260100314220017e+08 3.4220352919050401e+08 3.4178651690808868e+08 3.4135611483865505e+08 3.4089705873585939e+08 3.4043998604544085e+08 3.3992204960989785e+08 3.3936780274843061e+08 3.3876706061401409e+08 3.3811187049294114e+08 3.3739256782600796e+08 3.3659826577442336e+08 3.3571029508641911e+08 3.3474559874416959e+08 3.3364624763018107e+08 3.3241377626554394e+08 3.3103031291310751e+08 3.2947662375851214e+08 3.2773287473817801e+08 3.2577917036164182e+08 3.2359059057603514e+08 3.2118469228438413e+08 3.1849883715864241e+08 3.1555100246723408e+08 3.1234800474241906e+08 3.0891496343335724e+08 3.0529461552243972e+08 3.0156830437560809e+08 2.9785439285240883e+08 2.9436454072306633e+08 2.9132924737121278e+08 2.8914697263517809e+08 2.8835893461869454e+08 2.8976068295887995e+08 2.9450109992992127e+08 3.0432172139631110e+08 3.2197757902901393e+08 3.5213625517429405e+08 3.4457512955744177e+08 +3.7368122707569866e+00 -2.6585366267027538e+07 -2.6572044358423118e+07 -2.6550763101219289e+07 -2.6521651348961957e+07 -2.6489055801699955e+07 -2.6461240351818211e+07 -2.6442422229419131e+07 -2.6425941256689359e+07 -2.6404171763473842e+07 -2.6374405859979030e+07 -2.6336131295159478e+07 -2.6288090967616178e+07 -2.6228482292699665e+07 -2.6155292777196664e+07 -2.6066288504162226e+07 -2.5958810398680590e+07 -2.5829639292701688e+07 -2.5674960683186736e+07 -2.5490274785942659e+07 -2.5270275264553253e+07 -2.5008712597120725e+07 -2.4698139336289261e+07 -2.4328518445243355e+07 -2.3882700845991854e+07 -2.3340225538878448e+07 -2.2689510822003040e+07 -2.1918934034245633e+07 -2.1009937580485810e+07 -1.9939002653885454e+07 -1.8678432139123164e+07 -1.7195958081725173e+07 -1.5454083923293520e+07 -1.3409333442744838e+07 -1.1011428612786103e+07 -8.2024168805849496e+06 -4.9157745648056362e+06 -1.0755482669105164e+06 3.4043795660801092e+06 8.6207576736507788e+06 1.4680951434008840e+07 2.2267007310984425e+07 3.1117901722494457e+07 4.1393611666004531e+07 5.3249398305296272e+07 6.6821242862033486e+07 8.2205220298934966e+07 9.9430754240628541e+07 1.1842955280214074e+08 1.3900513138054144e+08 1.6080861188436779e+08 1.8332567370309880e+08 2.0593625964122865e+08 2.2797562725498027e+08 2.4874239158422217e+08 2.6765303958794910e+08 2.8430810864757192e+08 2.9851090093903059e+08 3.1026889822156125e+08 3.1973830683366245e+08 3.2720227198730057e+08 3.3295565574967104e+08 3.3732724638905758e+08 3.4057987142074639e+08 3.4298331088863403e+08 3.4472041588555062e+08 3.4594038475680828e+08 3.4678142379605544e+08 3.4731325662952113e+08 3.4758953233113551e+08 3.4767145204980654e+08 3.4756800232539338e+08 3.4733338376484418e+08 3.4698879193967110e+08 3.4657605730575317e+08 3.4611507730843669e+08 3.4560969594805712e+08 3.4509659348472846e+08 3.4458959443065649e+08 3.4407046567122149e+08 3.4368993682349205e+08 3.4330140862741983e+08 3.4290312079108018e+08 3.4248525761906850e+08 3.4205397824885708e+08 3.4159399860394216e+08 3.4113595859486538e+08 3.4061696628599846e+08 3.4006158930627692e+08 3.3945962198482251e+08 3.3880309534689492e+08 3.3808232507411867e+08 3.3728640206793511e+08 3.3639663079782903e+08 3.3542992987124074e+08 3.3432833419264221e+08 3.3309334609216040e+08 3.3170705729056430e+08 3.3015019465115356e+08 3.2840288355637079e+08 3.2644518783985734e+08 3.2425214795688117e+08 3.2184129992789906e+08 3.1914995674144197e+08 3.1619609836252815e+08 3.1298655526004398e+08 3.0954649822756684e+08 3.0591875161403453e+08 3.0218482508239198e+08 2.9846333400602710e+08 2.9496631872898090e+08 2.9192482277728796e+08 2.8973808926505494e+08 2.8894845298178172e+08 2.9035306965160751e+08 2.9510317518045777e+08 3.0494387106665391e+08 3.2263583696956235e+08 3.5285612537641913e+08 3.4419679484289324e+08 +3.7417805935312449e+00 -2.5177160576419573e+07 -2.5164009404952146e+07 -2.5143007814102534e+07 -2.5114250085635606e+07 -2.5081983856971737e+07 -2.5054325375216238e+07 -2.5035429014834542e+07 -2.5018744372280251e+07 -2.4996753266746182e+07 -2.4966765073499426e+07 -2.4928249808975730e+07 -2.4879944214499649e+07 -2.4820043314024866e+07 -2.4746529477788232e+07 -2.4657161663684815e+07 -2.4549273334326137e+07 -2.4419636024587084e+07 -2.4264423394148473e+07 -2.4079121581547067e+07 -2.3858408038350035e+07 -2.3596014426245820e+07 -2.3284471792658743e+07 -2.2913718562419824e+07 -2.2466564940896958e+07 -2.1922476532531045e+07 -2.1269825527582228e+07 -2.0496969632177055e+07 -1.9585309906098831e+07 -1.8511269551406894e+07 -1.7247084687159833e+07 -1.5760413054580828e+07 -1.4013676674080873e+07 -1.1963311571570927e+07 -9.5589471962520182e+06 -6.7425362825886719e+06 -3.4474626047027614e+06 4.0231132933246047e+05 4.8929694867558144e+06 1.0121296713634048e+07 1.6194646713798964e+07 2.3796088669711091e+07 3.2663436435737032e+07 4.2956255362955026e+07 5.4829157873253122e+07 6.8417183900397703e+07 8.3815132370239183e+07 1.0105080801689440e+08 1.2005401081887026e+08 1.4062620429487240e+08 1.6241655765905187e+08 1.8490924825944212e+08 2.0748352149253708e+08 2.2947502564448857e+08 2.5018394847183919e+08 2.6902930671256238e+08 2.8561478339572418e+08 2.9974687919102067e+08 3.1143590269735658e+08 3.2084021298602098e+08 3.2824434945229441e+08 3.3394387810862553e+08 3.3826776251528621e+08 3.4147864693864602e+08 3.4384592844616765e+08 3.4555197684714019e+08 3.4674548917974186e+08 3.4756418550407755e+08 3.4807735120588493e+08 3.4833820617618924e+08 3.4840758320868248e+08 3.4829412840348625e+08 3.4805169964931631e+08 3.4770117678558666e+08 3.4728407293694282e+08 3.4681992993330330e+08 3.4631227523117638e+08 3.4579748882969791e+08 3.4528915107792330e+08 3.4476885067547172e+08 3.4438752226847905e+08 3.4399819643977129e+08 3.4359909891880774e+08 3.4318038925668359e+08 3.4274823712389201e+08 3.4228733874778843e+08 3.4182833632652938e+08 3.4130829360641038e+08 3.4075179235352951e+08 3.4014860618148792e+08 3.3949074993779844e+08 3.3876851964714998e+08 3.3797098406655842e+08 3.3707942155436265e+08 3.3611072630968040e+08 3.3500689766774333e+08 3.3376940583824402e+08 3.3238030618890411e+08 3.3082028646381748e+08 3.2906943170031905e+08 3.2710776526687485e+08 3.2491028836217660e+08 3.2249451607692814e+08 3.1979771318388021e+08 3.1683786223749489e+08 3.1362180757240814e+08 3.1017477106108302e+08 3.0653966396685165e+08 3.0279816139166623e+08 2.9906912994687223e+08 2.9556498844308639e+08 2.9251732193601596e+08 2.9032615268461615e+08 2.8953492642445767e+08 2.9094239661548388e+08 2.9570214065280437e+08 3.0556280726479948e+08 3.2329069496984428e+08 3.5357227728623307e+08 3.4381726442854971e+08 +3.7467489163055032e+00 -2.3767743660285272e+07 -2.3754763211949944e+07 -2.3734041410751339e+07 -2.3705637702692449e+07 -2.3673700904355127e+07 -2.3646199651918519e+07 -2.3627225412509203e+07 -2.3610337532072820e+07 -2.3588125347543072e+07 -2.3557915513570502e+07 -2.3519160337191138e+07 -2.3470590429092810e+07 -2.3410398449477207e+07 -2.3336561667728137e+07 -2.3246831954870109e+07 -2.3138535357406858e+07 -2.3008434169586055e+07 -2.2852690280754168e+07 -2.2666775832630999e+07 -2.2445352158270087e+07 -2.2182132213920712e+07 -2.1869625673170004e+07 -2.1497746596035436e+07 -2.1049264765429519e+07 -2.0503572768125474e+07 -1.9848996911495436e+07 -1.9073875472702071e+07 -1.8159568498509869e+07 -1.7082441629145306e+07 -1.5814664728641681e+07 -1.4323821834337305e+07 -1.2572254250538947e+07 -1.0516311077465981e+07 -8.1055302102985485e+06 -5.2817708047127202e+06 -1.9783254129714952e+06 1.8809260137928887e+06 6.3822320827877885e+06 1.1622411715199305e+07 1.7708804642662983e+07 2.5325489503798842e+07 3.4209121898729317e+07 4.4518851956297696e+07 5.6408639907164991e+07 7.0012581511428386e+07 8.5424197988721132e+07 1.0266967560287794e+08 1.2167690972944875e+08 1.4224531961790848e+08 1.6402213403546792e+08 1.8649004488217998e+08 2.0902761934066132e+08 2.3097091545796707e+08 2.5162170961163753e+08 2.7040155797631776e+08 2.8691729111489761e+08 3.0097860303690517e+08 3.1259861890187538e+08 3.2193783791861576e+08 3.2928218097272903e+08 3.3492790718726927e+08 3.3920414676465791e+08 3.4237335470067471e+08 3.4470454083956832e+08 3.4637959128378844e+08 3.4754670041121125e+08 3.4834310131554079e+08 3.4883764108151436e+08 3.4908311069573998e+08 3.4913997486262363e+08 3.4901653984424037e+08 3.4876632124040508e+08 3.4840988375069046e+08 3.4798842367870528e+08 3.4752112798327994e+08 3.4701120832413054e+08 3.4649474496803635e+08 3.4598507462295598e+08 3.4546360833939457e+08 3.4508148445148081e+08 3.4469136510771352e+08 3.4429146210420078e+08 3.4387191035311723e+08 3.4343888999776930e+08 3.4297707770307803e+08 3.4251711777911431e+08 3.4199603011167270e+08 3.4143841043313932e+08 3.4083401174903262e+08 3.4017483281363165e+08 3.3945115009679234e+08 3.3865201032516181e+08 3.3775866591508704e+08 3.3678798662218779e+08 3.3568193662289900e+08 3.3444195407646608e+08 3.3305005818690693e+08 3.3148689778161073e+08 3.2973251776293957e+08 3.2776690124434704e+08 3.2556501040229362e+08 3.2314433935248321e+08 3.2044210511799699e+08 3.1747629273755985e+08 3.1425376033831632e+08 3.1079978060728258e+08 3.0715735127027714e+08 3.0340831200875741e+08 2.9967177939622724e+08 2.9616054860144329e+08 2.9310674359647924e+08 2.9091116165245849e+08 2.9011835370858121e+08 2.9152866260663277e+08 2.9629799508230740e+08 3.0617852868413383e+08 3.2394215164788550e+08 3.5428470939154786e+08 3.4343654691952997e+08 +3.7517172390797615e+00 -2.2357142297338177e+07 -2.2344332618987091e+07 -2.2323890755501613e+07 -2.2295841067924380e+07 -2.2264233868812218e+07 -2.2236890115237758e+07 -2.2217838356269691e+07 -2.2200747673228182e+07 -2.2178314945706271e+07 -2.2147884123858996e+07 -2.2108889827411313e+07 -2.2060056563517921e+07 -2.1999574656222053e+07 -2.1925416309836622e+07 -2.1835326346998945e+07 -2.1726623444618158e+07 -2.1596060712881260e+07 -2.1439788338055547e+07 -2.1253264545613386e+07 -2.1031134644031905e+07 -2.0767092995316833e+07 -2.0453628031123042e+07 -2.0080629620599326e+07 -1.9630827419255611e+07 -1.9083541375537902e+07 -1.8427052139782555e+07 -1.7649678764246669e+07 -1.6732740615441563e+07 -1.5652546202012762e+07 -1.4381199644637352e+07 -1.2886211878295582e+07 -1.1129844197399281e+07 -9.0683596049096249e+06 -6.6512054124297202e+06 -3.8201483315621810e+06 -5.0839101569192071e+05 3.3602676048672060e+06 7.8721390043692337e+06 1.3124074150474058e+07 1.9223396509752791e+07 2.6855180909254406e+07 3.5754929032238558e+07 4.6081372230682343e+07 5.7987815123992004e+07 7.1607406452082619e+07 8.7032388107665420e+07 1.0428732836175568e+08 1.2329822158157545e+08 1.4386245041206649e+08 1.6562531545837688e+08 1.8806803977052480e+08 2.1056853147278783e+08 2.3246327731588361e+08 2.5305565808053616e+08 2.7176977889575565e+08 2.8821561961686403e+08 3.0220606234537411e+08 3.1375703847123629e+08 3.2303117473515505e+08 3.3031576084051102e+08 3.3590773822308600e+08 3.4013639511948651e+08 3.4326399127370721e+08 3.4555914509496796e+08 3.4720325658365959e+08 3.4834401612586480e+08 3.4911816913218629e+08 3.4959412433781129e+08 3.4982424411256480e+08 3.4986862534444702e+08 3.4973523506482571e+08 3.4947724701734781e+08 3.4911491135935050e+08 3.4868910808669931e+08 3.4821867003454608e+08 3.4770649381515521e+08 3.4718836049576592e+08 3.4667736366551322e+08 3.4615473726569021e+08 3.4577182197710425e+08 3.4538091323815900e+08 3.4498020895543760e+08 3.4455981951830435e+08 3.4412593548255020e+08 3.4366321408357483e+08 3.4320230156820017e+08 3.4268017441917408e+08 3.4212144216513497e+08 3.4151583731005114e+08 3.4085534259945285e+08 3.4013021505050403e+08 3.3932947947492337e+08 3.3843436251423305e+08 3.3746170944743574e+08 3.3635344970144027e+08 3.3511098945506418e+08 3.3371631193840063e+08 3.3215002726477581e+08 3.3039214041166848e+08 3.2842259444683105e+08 3.2621631276073742e+08 3.2379076844807392e+08 3.2108313124872953e+08 3.1811138857950085e+08 3.1488241228807145e+08 3.1142152560963261e+08 3.0777181228235430e+08 3.0401527570746356e+08 3.0027128114227051e+08 2.9675299800710380e+08 2.9369308657386214e+08 2.9149311499275988e+08 2.9069873366149133e+08 2.9211186644696045e+08 2.9689073727130401e+08 3.0679103408715600e+08 3.2459020569364262e+08 3.5499342026096225e+08 3.4305465090248322e+08 +3.7566855618540198e+00 -2.0945383629892979e+07 -2.0932744720253374e+07 -2.0912582668392397e+07 -2.0884887143287808e+07 -2.0853609686795428e+07 -2.0826423664352685e+07 -2.0807294743354443e+07 -2.0790001697614752e+07 -2.0767348965584926e+07 -2.0736697812345553e+07 -2.0697465191582602e+07 -2.0648369534185205e+07 -2.0587598855696190e+07 -2.0513120331178285e+07 -2.0422671773523826e+07 -2.0313564536772419e+07 -2.0182542603680164e+07 -2.0025744524901059e+07 -1.9838614690623399e+07 -1.9615782478909407e+07 -1.9350923769064028e+07 -1.9036505883042872e+07 -1.8662394673605662e+07 -1.8211279964610968e+07 -1.7662409446856618e+07 -1.7004018340178352e+07 -1.6224406676390354e+07 -1.5304853475137662e+07 -1.4221610544716125e+07 -1.2946716775101978e+07 -1.1447610601582101e+07 -9.6864740159665067e+06 -7.6194847534885015e+06 -5.1960005135965012e+06 -2.3576966991839702e+06 9.6231261193142529e+05 4.8403079745393135e+06 9.3626619584418479e+06 1.4626255552007617e+07 2.0738393668844819e+07 2.8385134052020203e+07 3.7300828833035029e+07 4.7643787053741030e+07 5.9566654331694677e+07 7.3201629579087168e+07 8.8639673789545447e+07 1.0590373777610587e+08 1.2491791855253363e+08 1.4547756987881476e+08 1.6722607652022988e+08 1.8964320927841002e+08 2.1210623633386996e+08 2.3395209199881658e+08 2.5448577711272889e+08 2.7313395514015740e+08 2.8950975685962898e+08 3.0342924712357950e+08 3.1491115317201537e+08 3.2412021666158181e+08 3.3134508346247041e+08 3.3688336656067669e+08 3.4106450366389573e+08 3.4415055332190138e+08 3.4640973833221376e+08 3.4802297022591501e+08 3.4913743408605409e+08 3.4988938694134456e+08 3.5034679913981903e+08 3.5056160473181957e+08 3.5059353306861854e+08 3.5045021256228715e+08 3.5018447554008192e+08 3.4981625821534109e+08 3.4938612479509664e+08 3.4891255474084288e+08 3.4839813037010896e+08 3.4787833408614200e+08 3.4736601688367397e+08 3.4684223613549137e+08 3.4645853352809590e+08 3.4606683951525748e+08 3.4566533815825087e+08 3.4524411543952304e+08 3.4480937226706147e+08 3.4434574657976753e+08 3.4388388638607931e+08 3.4336072522364366e+08 3.4280088624590325e+08 3.4219408156348193e+08 3.4153227799688554e+08 3.4080571321246558e+08 3.4000339022254276e+08 3.3910651006217772e+08 3.3813189349982959e+08 3.3702143562136751e+08 3.3577651069736946e+08 3.3437906617160815e+08 3.3280967364784634e+08 3.3104829838723588e+08 3.2907484362329632e+08 3.2686419419513959e+08 3.2443380213051713e+08 3.2172079035322964e+08 3.1874314855113554e+08 3.1550776222148669e+08 3.1204000488209987e+08 3.0838304583080697e+08 3.0461905132888979e+08 3.0086763404080993e+08 2.9734233552939898e+08 2.9427634974928737e+08 2.9207201159476763e+08 2.9127606517576402e+08 2.9269200702300018e+08 2.9748036608869481e+08 3.0740032230482954e+08 3.2523485587049007e+08 3.5569840854170895e+08 3.4267158494549578e+08 +3.7616538846282781e+00 -1.9532494419852957e+07 -1.9520026239461090e+07 -1.9500144097480338e+07 -1.9472802835984945e+07 -1.9441855221036520e+07 -1.9414827163763303e+07 -1.9395621433925785e+07 -1.9378126470949452e+07 -1.9355254275324263e+07 -1.9324383450684443e+07 -1.9284913305343330e+07 -1.9235556221184105e+07 -1.9174497932961050e+07 -1.9099700622314334e+07 -1.9008895131342828e+07 -1.8899385537993446e+07 -1.8767906754445072e+07 -1.8610585763389479e+07 -1.8422853200870022e+07 -1.8199322609058853e+07 -1.7933651496435072e+07 -1.7618286207884837e+07 -1.7243068754701432e+07 -1.6790649425587606e+07 -1.6240204035703247e+07 -1.5579922601537328e+07 -1.4798086339211453e+07 -1.3875934255704584e+07 -1.2789661891051076e+07 -1.1511243418186290e+07 -1.0008045376457728e+07 -8.2421711634632032e+06 -6.1697140772604598e+06 -3.7399431774902199e+06 -8.9444369439533120e+05 2.4337575462543867e+06 6.3210190490688244e+06 1.0853772709360072e+07 1.6128927513423633e+07 2.2253767539086066e+07 2.9915320168529052e+07 3.8846792374548011e+07 4.9206067376686767e+07 6.1145128429661751e+07 7.4795221849251434e+07 9.0246026206580952e+07 1.0751887544823407e+08 1.2653597294933954e+08 1.4709065135956970e+08 1.6882439196172220e+08 1.9121552991440001e+08 2.1364071252864921e+08 2.3543734044695124e+08 2.5591205010026467e+08 2.7449407253124839e+08 2.9079969094673735e+08 3.0464814751654291e+08 3.1606095489953727e+08 3.2520495704539555e+08 3.3237014335897225e+08 3.3785478765332901e+08 3.4198846858444780e+08 3.4503303760717571e+08 3.4725631776487273e+08 3.4883872977906901e+08 3.4992695214230841e+08 3.5065675281610584e+08 3.5109566373625124e+08 3.5129519094058210e+08 3.5131469652999645e+08 3.5116147091381478e+08 3.5088800544623083e+08 3.5051392300110972e+08 3.5007947251632518e+08 3.4960278083423781e+08 3.4908611673335636e+08 3.4856466448983496e+08 3.4805103303233439e+08 3.4752610370692676e+08 3.4714161786367095e+08 3.4674914269996405e+08 3.4634684847576714e+08 3.4592479688103396e+08 3.4548919911682075e+08 3.4502467395883292e+08 3.4456187100212437e+08 3.4403768129604691e+08 3.4347674144827515e+08 3.4286874328410244e+08 3.4220563778294045e+08 3.4147764336301112e+08 3.4067374135139817e+08 3.3977510734497863e+08 3.3879853756946754e+08 3.3768589317700505e+08 3.3643851660184968e+08 3.3503831969038242e+08 3.3346583573944712e+08 3.3170099050497621e+08 3.2972364759566736e+08 3.2750865353460914e+08 3.2507343923839396e+08 3.2235508127958345e+08 3.1937157151184022e+08 3.1612980900937814e+08 3.1265521730745715e+08 3.0899105081157809e+08 3.0521963778279161e+08 3.0146083701540762e+08 2.9792856010430264e+08 2.9485653206962627e+08 2.9264785041324061e+08 2.9185034720832473e+08 2.9326908328702974e+08 2.9806688046955216e+08 3.0800639223681539e+08 3.2587610101427037e+08 3.5639967296103042e+08 3.4228735759800243e+08 +3.7666222074025364e+00 -1.8118501512991127e+07 -1.8106204078333404e+07 -1.8086601934292808e+07 -1.8059614885984972e+07 -1.8028997280632578e+07 -1.8002127440156929e+07 -1.7982845250765301e+07 -1.7965148821842819e+07 -1.7942057706248827e+07 -1.7910967873485226e+07 -1.7871261007288706e+07 -1.7821643467521064e+07 -1.7760298735970292e+07 -1.7685184036711060e+07 -1.7594023280162036e+07 -1.7484113315168943e+07 -1.7352180040251873e+07 -1.7194338938065298e+07 -1.7006006971886888e+07 -1.6781781942826550e+07 -1.6515303100721702e+07 -1.6198995946410112e+07 -1.5822678825065853e+07 -1.5368962787531490e+07 -1.4816952156456750e+07 -1.4154791972975466e+07 -1.3370744842602858e+07 -1.2446010094413381e+07 -1.1356727433197536e+07 -1.0074806829561951e+07 -8.5675435316551011e+06 -6.7969630523267109e+06 -4.7190750840543471e+06 -2.2830610198839204e+06 5.6958294590377482e+05 3.9059159158630967e+06 7.8023728096422581e+06 1.2345443079578014e+07 1.7632061690104593e+07 2.3769489605552450e+07 3.1445710566505704e+07 4.0392790807472311e+07 5.0768184234955914e+07 6.2723208409348562e+07 7.6388154320066988e+07 9.1851416641199246e+07 1.0913271310064216e+08 1.2815235720952757e+08 1.4870166833531508e+08 1.7042023667180988e+08 1.9278497834207460e+08 2.1517193881954479e+08 2.3691900375939432e+08 2.5733446059251535e+08 2.7585011704372281e+08 2.9208541012778121e+08 3.0586275380633384e+08 3.1720643567902261e+08 3.2628538935478163e+08 3.3339093516476065e+08 3.3882199706115037e+08 3.4290828616954905e+08 3.4591144098852396e+08 3.4809888069977093e+08 3.4965053290290916e+08 3.5071256823141748e+08 3.5142026491374987e+08 3.5184071645912778e+08 3.5202500120785815e+08 3.5203211430383474e+08 3.5186900877604508e+08 3.5158783545364261e+08 3.5120790447689414e+08 3.5076915004038334e+08 3.5028934712469757e+08 3.4977045172586823e+08 3.4924735053537726e+08 3.4873241094487298e+08 3.4820633881509650e+08 3.4782107382109964e+08 3.4742782163031429e+08 3.4702473874656135e+08 3.4660186268352956e+08 3.4616541487411797e+08 3.4569999506465036e+08 3.4523625426130235e+08 3.4471104148370475e+08 3.4414900662175977e+08 3.4353982132320565e+08 3.4287542081108856e+08 3.4214600435733539e+08 3.4134053171952891e+08 3.4044015322373933e+08 3.3946164052033496e+08 3.3834682123655975e+08 3.3709700604069769e+08 3.3569407137105197e+08 3.3411851242216873e+08 3.3235021565309930e+08 3.3036900525904822e+08 3.2814968968210655e+08 3.2570967868255883e+08 3.2298600294733149e+08 3.1999665639106554e+08 3.1674855159237719e+08 3.1326716183796680e+08 3.0959582618938780e+08 3.0581703404655141e+08 3.0205088905504322e+08 2.9851167073337698e+08 2.9543363254678464e+08 2.9322063046764725e+08 2.9242157878118938e+08 2.9384309425631166e+08 2.9865027941498595e+08 3.0860924285062170e+08 3.2651394003253371e+08 3.5709721232440972e+08 3.4190197739069545e+08 +3.7715905301767947e+00 -1.6703431849517275e+07 -1.6691305019710835e+07 -1.6671982923861671e+07 -1.6645350133590443e+07 -1.6615062652040901e+07 -1.6588351277198922e+07 -1.6568992979260409e+07 -1.6551095540976422e+07 -1.6527786052014597e+07 -1.6496477877710804e+07 -1.6456535098340740e+07 -1.6406658078446295e+07 -1.6345028074901320e+07 -1.6269597389933476e+07 -1.6178083041784458e+07 -1.6067774697152976e+07 -1.5935389298076259e+07 -1.5777030895293323e+07 -1.5588102860899091e+07 -1.5363187350084275e+07 -1.5095905466540320e+07 -1.4778662000467630e+07 -1.4401251806702256e+07 -1.3946246996276122e+07 -1.3392680783672471e+07 -1.2728653463346338e+07 -1.1942409235583605e+07 -1.1015108087006815e+07 -9.9228343210605811e+06 -8.6374342216892615e+06 -7.1261323516519573e+06 -5.3508770495327665e+06 -3.2675952347880094e+06 -8.2538160794518807e+05 2.0343555353939356e+06 5.3787599022444161e+06 9.2843412930666637e+06 1.3837644950270632e+07 1.9135629799789649e+07 2.5285531419883355e+07 3.2976276625539109e+07 4.1938795360333405e+07 5.2330108748738974e+07 6.4300865354685530e+07 7.7980398150453463e+07 9.3455816486542314e+07 1.1074522257615572e+08 1.2976704390088861e+08 1.5031059442705128e+08 1.7201358568822277e+08 1.9435153137975234e+08 2.1669989412849602e+08 2.3839706319547644e+08 2.5875299229548129e+08 2.7720207480348206e+08 2.9336690279679817e+08 3.0707305641257602e+08 3.1834758766383672e+08 3.2736150717901266e+08 3.3440745362706256e+08 3.3978499045110011e+08 3.4382395280840319e+08 3.4678576042099130e+08 3.4893742453571951e+08 3.5045837734541786e+08 3.5149428037765890e+08 3.5217992147660428e+08 3.5258195572314310e+08 3.5275103408377343e+08 3.5274578504610097e+08 3.5257282488538140e+08 3.5228396435782254e+08 3.5189820148179805e+08 3.5145515623585528e+08 3.5097225249881762e+08 3.5045113424643636e+08 3.4992639112779462e+08 3.4941014952921385e+08 3.4888294037171727e+08 3.4849690031310576e+08 3.4810287522080243e+08 3.4769900788682878e+08 3.4727531176387179e+08 3.4683801845727974e+08 3.4637170881646293e+08 3.4590703508558923e+08 3.4538080470895648e+08 3.4481768069042104e+08 3.4420731460763323e+08 3.4354162601018524e+08 3.4281079512647617e+08 3.4200376026039869e+08 3.4110164663477021e+08 3.4012120129231715e+08 3.3900421874267316e+08 3.3775197796066445e+08 3.3634632016554916e+08 3.3476770265170580e+08 3.3299597279321486e+08 3.3101091558123058e+08 3.2878730161174768e+08 3.2634251944524252e+08 3.2361355434794933e+08 3.2061840218923879e+08 3.1736398898075235e+08 3.1387583749483413e+08 3.1019737099665612e+08 3.0641123916432744e+08 3.0263778921612370e+08 2.9909166648381978e+08 2.9600765025742775e+08 2.9379035084145379e+08 2.9298975898070729e+08 2.9441403901248395e+08 2.9923056199168569e+08 3.0920887318258780e+08 3.2714837190497530e+08 3.5779102551676273e+08 3.4151545283543789e+08 +3.7765588529510530e+00 -1.5287311966286350e+07 -1.5275355937685201e+07 -1.5256313741999414e+07 -1.5230035337515131e+07 -1.5200078098427972e+07 -1.5173525415351378e+07 -1.5154091367147731e+07 -1.5135993380309587e+07 -1.5112466068027018e+07 -1.5080940221939180e+07 -1.5040762341042837e+07 -1.4990626820817646e+07 -1.4928712721436858e+07 -1.4852967459072681e+07 -1.4761101199388310e+07 -1.4650396474158373e+07 -1.4517561326136129e+07 -1.4358688442536138e+07 -1.4169167686068112e+07 -1.3943565661510957e+07 -1.3675485439157210e+07 -1.3357311232305165e+07 -1.2978814581795970e+07 -1.2522528957500711e+07 -1.1967416851339063e+07 -1.1301534040458083e+07 -1.0513106525593372e+07 -9.5832552870170791e+06 -8.4880096615742575e+06 -7.1991527632123781e+06 -5.6838390760451965e+06 -3.9039404759180970e+06 -1.8153019427977714e+06 6.3306754042837338e+05 3.4998464390137610e+06 6.8522617404509317e+06 1.0766896592386289e+07 1.5330350262024136e+07 2.0639603623258814e+07 2.6801864600997005e+07 3.4506989797505990e+07 4.3484777340150774e+07 5.3891812123567954e+07 6.5878070442825936e+07 7.9571924600864351e+07 9.5059197246566638e+07 1.1235637583888318e+08 1.3138000572217889e+08 1.5191740339639944e+08 1.7360441419665053e+08 1.9591516600048742e+08 2.1822455753525597e+08 2.3987150017329127e+08 2.6016762907261491e+08 2.7854993208873183e+08 2.9464415749293733e+08 3.0827904589081824e+08 3.1948440313580102e+08 3.2843330422708374e+08 3.3541969360691994e+08 3.4074376359628218e+08 3.4473546499182904e+08 3.4765599295647889e+08 3.4977194676487887e+08 3.5126226094420087e+08 3.5227208669153410e+08 3.5293572083143049e+08 3.5331938002548385e+08 3.5347328819980860e+08 3.5345570749257278e+08 3.5327291805661601e+08 3.5297639103302717e+08 3.5258481293193060e+08 3.5213749004735047e+08 3.5165149592101842e+08 3.5112816327001727e+08 3.5060178524873590e+08 3.5008424777160680e+08 3.4955590736474341e+08 3.4916909632888484e+08 3.4877430246189541e+08 3.4836965488808149e+08 3.4794514311503834e+08 3.4750700886042958e+08 3.4703981420997000e+08 3.4657421247161025e+08 3.4604696997108519e+08 3.4548276265483290e+08 3.4487122213863164e+08 3.4420425238345331e+08 3.4347201467673481e+08 3.4266342598235714e+08 3.4175958658899146e+08 3.4077721889942962e+08 3.3965808471291274e+08 3.3840343138225859e+08 3.3699506509787482e+08 3.3541340545791453e+08 3.3363826095983177e+08 3.3164937760198569e+08 3.2942148837019998e+08 3.2697196058056724e+08 3.2423773454273361e+08 3.2123680797681457e+08 3.1797612025463283e+08 3.1448124336802346e+08 3.1079568433394259e+08 3.0700225224772322e+08 3.0322153662097842e+08 2.9966854648872572e+08 2.9657858434375304e+08 2.9435701068323082e+08 2.9355488695735615e+08 2.9498191670211685e+08 2.9980772733198619e+08 3.0980528233551478e+08 3.2777939568295413e+08 3.5848111150053275e+08 3.4112779242517465e+08 +3.7815271757253113e+00 -1.3870168707873872e+07 -1.3858383382424558e+07 -1.3839621085021824e+07 -1.3813697188068481e+07 -1.3784070324924149e+07 -1.3757676557499230e+07 -1.3738167123962499e+07 -1.3719869052398527e+07 -1.3696124470713677e+07 -1.3664381625761785e+07 -1.3623969458899071e+07 -1.3573576422384938e+07 -1.3511379408161258e+07 -1.3435320981993839e+07 -1.3343104496905677e+07 -1.3232005397025635e+07 -1.3098722883196484e+07 -1.2939338347726768e+07 -1.2749228225914409e+07 -1.2522943667932549e+07 -1.2254069823763255e+07 -1.1934970463957442e+07 -1.1555393991964037e+07 -1.1097835536031783e+07 -1.0541187252225075e+07 -9.8734606304495744e+06 -9.0828636778563149e+06 -8.1504787051047152e+06 -7.0522805180581240e+06 -5.7599895782171302e+06 -4.2406908988468200e+06 -2.4561806055286420e+06 -3.6222257317780500e+05 2.0922589572755487e+06 4.9660280735990116e+06 8.3263937197559504e+06 1.2250010857564740e+07 1.6823531015483126e+07 2.2143955004974771e+07 2.8318460835654434e+07 3.6037821607457429e+07 4.5030708132986218e+07 5.5453265650910117e+07 6.7454794944453850e+07 8.1162705034095854e+07 9.6661530536984742e+07 1.1396614497390322e+08 1.3299121550334018e+08 1.5352206914521274e+08 1.7519269753177735e+08 1.9747585933237582e+08 2.1974590827812010e+08 2.4134229626951024e+08 2.6157835494267029e+08 2.7989367532828456e+08 2.9591716289905965e+08 3.0948071293383783e+08 3.2061687450423014e+08 3.2950077432798535e+08 3.3642765007670575e+08 3.4169831237608880e+08 3.4564281931045192e+08 3.4852213574272406e+08 3.5060244497060990e+08 3.5206218162580591e+08 3.5304598536993355e+08 3.5368766138848943e+08 3.5405298794574261e+08 3.5419176226809490e+08 3.5416188045818973e+08 3.5396928718347794e+08 3.5366511443141830e+08 3.5326773782113373e+08 3.5281615049752653e+08 3.5232707643153703e+08 3.5180153784832269e+08 3.5127353195635426e+08 3.5075470473373336e+08 3.5022523885827672e+08 3.4983766093407923e+08 3.4944210242021734e+08 3.4903667881796539e+08 3.4861135580587864e+08 3.4817238515331614e+08 3.4770431031597435e+08 3.4723778549183315e+08 3.4670953634356439e+08 3.4614425159026003e+08 3.4553154299355561e+08 3.4486329901026857e+08 3.4412966208809751e+08 3.4331952796790451e+08 3.4241397217099017e+08 3.4142969242896920e+08 3.4030841823762810e+08 3.3905136540041178e+08 3.3764030526654059e+08 3.3605561994261211e+08 3.3427707925959414e+08 3.3228439043383378e+08 3.3005224907549399e+08 3.2759800121315193e+08 3.2485854266429073e+08 3.2185187289381760e+08 3.1858494456246507e+08 3.1508337861594242e+08 3.1139076536934698e+08 3.0759007247471219e+08 3.0380213045751297e+08 3.0024230994563556e+08 2.9714643401166832e+08 2.9492060920468283e+08 2.9411696192511493e+08 2.9554672653521150e+08 3.0038177463334292e+08 3.1039846948029006e+08 3.2840701048895693e+08 3.5916746931641632e+08 3.4073900463384867e+08 +3.7864954984995696e+00 -1.2452028759436799e+07 -1.2440414044632981e+07 -1.2421931717197414e+07 -1.2396362300233228e+07 -1.2367065997279268e+07 -1.2340831373227922e+07 -1.2321246920301866e+07 -1.2302749229894215e+07 -1.2278787936806260e+07 -1.2246828769115921e+07 -1.2206183135691740e+07 -1.2155533571125528e+07 -1.2093054827824915e+07 -1.2016684656685635e+07 -1.1924119638305096e+07 -1.1812628176587770e+07 -1.1678900687904403e+07 -1.1519007338535750e+07 -1.1328311218568852e+07 -1.1101348119676171e+07 -1.0831685384857617e+07 -1.0511666476462530e+07 -1.0131016837663222e+07 -9.6721935551950336e+06 -9.1140188372016028e+06 -8.4444601170779653e+06 -7.6517076146875992e+06 -6.7168053083790662e+06 -5.6156739095147531e+06 -4.3199717456127312e+06 -2.7967149678279837e+06 -1.0076246649269563e+06 1.0916155578908501e+06 3.5521652252344303e+06 6.4328729085799260e+06 9.8011281843037587e+06 1.3733656296125701e+07 1.8317159271926109e+07 2.3648655853674222e+07 2.9835291879076097e+07 3.7568743654152416e+07 4.6576559204614051e+07 5.7014440708585747e+07 6.9031010224508315e+07 8.2752710915460125e+07 9.8262788085445464e+07 1.1557450218813549e+08 1.3460064620567223e+08 1.5512456571611318e+08 1.7677841117703384e+08 1.9903358865799937e+08 2.2126392575383848e+08 2.4280943321980262e+08 2.6298515408132753e+08 2.8123329110256088e+08 2.9718590784272748e+08 3.1067804836872005e+08 3.2174499430640948e+08 3.3056391143029219e+08 3.3743131812191749e+08 3.4264863277570838e+08 3.4654601245542175e+08 3.4938418602218384e+08 3.5142891682815254e+08 3.5285813740511990e+08 3.5381597469501263e+08 3.5443574164233005e+08 3.5478277814514858e+08 3.5490645508077097e+08 3.5486430283769381e+08 3.5466193123792136e+08 3.5435013358241683e+08 3.5394697522003901e+08 3.5349113668515515e+08 3.5299899314749449e+08 3.5247125710887355e+08 3.5194163038421875e+08 3.5142151955295622e+08 3.5089093399160737e+08 3.5050259326941150e+08 3.5010627423739392e+08 3.4970007881913775e+08 3.4927394898000771e+08 3.4883414648120463e+08 3.4836519628075087e+08 3.4789775329373127e+08 3.4736850297508377e+08 3.4680214664672863e+08 3.4618827632382953e+08 3.4551876504337388e+08 3.4478373651598030e+08 3.4397206537415850e+08 3.4306480253990012e+08 3.4207862104317862e+08 3.4095521848163635e+08 3.3969577918209106e+08 3.3828203984237999e+08 3.3669434528063715e+08 3.3491242687185383e+08 3.3291595326091444e+08 3.3067958291726476e+08 3.2822064053834224e+08 3.2547597791434729e+08 3.2246359615017116e+08 3.1919046112200046e+08 3.1568224246427339e+08 3.1198261333824325e+08 3.0817469909056592e+08 3.0437956998021066e+08 3.0081295611806685e+08 2.9771119853164643e+08 2.9548114568211818e+08 2.9467598316174811e+08 2.9610846778618902e+08 3.0095270315804374e+08 3.1098843385470575e+08 3.2903121551682186e+08 3.5985009808265835e+08 3.4034909791631413e+08 +3.7914638212738279e+00 -1.1032918698016301e+07 -1.1021474706238270e+07 -1.1003272378394339e+07 -1.0978057357343778e+07 -1.0949091733856294e+07 -1.0923016496741973e+07 -1.0903357386816990e+07 -1.0884660545027353e+07 -1.0860483102685492e+07 -1.0828308291613398e+07 -1.0787430014838433e+07 -1.0736524914592030e+07 -1.0673765632676037e+07 -1.0597085140614597e+07 -1.0504173286991317e+07 -1.0392291482955720e+07 -1.0258121418118754e+07 -1.0097722101745075e+07 -9.9064433611314800e+06 -9.6788057258347366e+06 -9.4083588455755021e+06 -9.0874260093025975e+06 -8.7057098774634749e+06 -8.2456297961286251e+06 -7.6859384145729775e+06 -7.0145593411065694e+06 -6.2196652148359986e+06 -5.2822620197475059e+06 -4.1782168099699682e+06 -2.8791262984476932e+06 -1.3519383838622023e+06 4.4170016744997905e+05 2.5461851837944807e+06 5.0127589781946242e+06 7.9003534665890401e+06 1.1276437533778381e+07 1.5217805173825258e+07 1.9811207153992616e+07 2.5153678143054478e+07 3.1352329555622172e+07 3.9099727610472597e+07 4.8122302100938380e+07 5.8575308761623055e+07 7.0606687742516890e+07 8.4341913813740075e+07 9.9862941731836379e+07 1.1718141981043340e+08 1.3620827092236140e+08 1.5672486729268655e+08 1.7836153076456764e+08 2.0058833141503108e+08 2.2277858951691189e+08 2.4427289291826114e+08 2.6438801081980875e+08 2.8256876614226311e+08 2.9845038129407120e+08 3.1187104315900534e+08 3.2286875520590067e+08 3.3162270960080719e+08 3.3843069293916726e+08 3.4359472088484043e+08 3.4744504121720183e+08 3.5024214113311559e+08 3.5225136010411000e+08 3.5365012638465232e+08 3.5458205303493959e+08 3.5517996017017138e+08 3.5550874936609238e+08 3.5561736551052743e+08 3.5556297360428697e+08 3.5535084927002287e+08 3.5503144759298062e+08 3.5462252427643102e+08 3.5416244778518093e+08 3.5366724526206917e+08 3.5313732025559592e+08 3.5260607974209338e+08 3.5208469144243538e+08 3.5155299198064101e+08 3.5116389255113637e+08 3.5076681713088459e+08 3.5035985411009061e+08 3.4993292185668707e+08 3.4949229206381929e+08 3.4902247132520747e+08 3.4855411509950095e+08 3.4802386908880305e+08 3.4745644704877216e+08 3.4684142135545772e+08 3.4617064971009439e+08 3.4543423718938226e+08 3.4462103743182248e+08 3.4371207692885333e+08 3.4272400397685456e+08 3.4159848468232512e+08 3.4033667196769798e+08 3.3892026806860638e+08 3.3732958071930605e+08 3.3554430304776549e+08 3.3354406533820349e+08 3.3130348915549242e+08 3.2883987782267869e+08 3.2609003956566817e+08 3.2307197702439934e+08 3.1979266921998370e+08 3.1627783420778614e+08 3.1257122754306531e+08 3.0875613140543622e+08 3.0495385450778216e+08 3.0138048433296150e+08 2.9827287723805839e+08 2.9603861945444089e+08 2.9523195000855702e+08 2.9666713979277241e+08 3.0152051223343754e+08 3.1157517476364082e+08 3.2965201002972722e+08 3.6052899699484313e+08 3.3995808070825255e+08 +3.7964321440480862e+00 -9.6128652463317085e+06 -9.6015919380670022e+06 -9.5836695020703394e+06 -9.5588090002588183e+06 -9.5301741391143110e+06 -9.5042585213139579e+06 -9.4845251134082656e+06 -9.4656295891257748e+06 -9.4412365637426060e+06 -9.4088467918410469e+06 -9.3677366987003163e+06 -9.3165770592425037e+06 -9.2535384338323381e+06 -9.1765490500256084e+06 -9.0832920650505181e+06 -8.9710219449308813e+06 -8.8364117102410961e+06 -8.6755092825904116e+06 -8.4836513090026099e+06 -8.2553431536822617e+06 -7.9841168869719859e+06 -7.6622757596807284e+06 -7.2794998274206501e+06 -6.8181709971343558e+06 -6.2569727494205665e+06 -5.5837850995938955e+06 -4.7867633128106259e+06 -3.8468757172348625e+06 -2.7399361478394121e+06 -1.4374802232479132e+06 9.3611799741915762e+04 1.8917667619487892e+06 4.0014590881433012e+06 6.4740129019495258e+06 9.3684423241376951e+06 1.2752294224004462e+07 1.6702429815201759e+07 2.1305646846257202e+07 2.6658993912316456e+07 3.2869545759297766e+07 4.0630745224283136e+07 4.9667908448690325e+07 6.0135841362559222e+07 7.2181799053436205e+07 8.5930285401148438e+07 1.0146196342897381e+08 1.1878687029210149e+08 1.3781406287828726e+08 1.5832294819944933e+08 1.7994203207534012e+08 2.0214006519539678e+08 2.2428987928051963e+08 2.4573265741711777e+08 2.6578690964479634e+08 2.8390008732813561e+08 2.9971057236690658e+08 3.1305968840271956e+08 3.2398814999299270e+08 3.3267716302556616e+08 3.3942576983581507e+08 3.4453657289886230e+08 3.4833990248613483e+08 3.5109599850881773e+08 3.5306977265582144e+08 3.5443814675532305e+08 3.5534421884235805e+08 3.5592031563224083e+08 3.5623090043279374e+08 3.5632449250972140e+08 3.5625789180993420e+08 3.5603604040738809e+08 3.5570905564715827e+08 3.5529438421403503e+08 3.5483008304882628e+08 3.5433183204346651e+08 3.5379972656714916e+08 3.5326687931479472e+08 3.5274421969018567e+08 3.5221141211480862e+08 3.5182155806993937e+08 3.5142373039205629e+08 3.5101600398296630e+08 3.5058827372943175e+08 3.5014682119573843e+08 3.4967613474417549e+08 3.4920687020571357e+08 3.4867563398258579e+08 3.4810715209497714e+08 3.4749097738826567e+08 3.4681895231216133e+08 3.4608116341065222e+08 3.4526644344544959e+08 3.4435579464358908e+08 3.4336584053864217e+08 3.4223821615045303e+08 3.4097404307024544e+08 3.3955498926190895e+08 3.3796132557749301e+08 3.3617270710976982e+08 3.3416872599325067e+08 3.3192396712176406e+08 3.2945571240255553e+08 3.2670072695982152e+08 3.2367701486485946e+08 3.2039156821041548e+08 3.1687015320770127e+08 3.1315660735279739e+08 3.0933436879650718e+08 3.0552498342504138e+08 3.0194489398209602e+08 2.9883146952908087e+08 2.9659302992438507e+08 2.9578486186945182e+08 2.9722274195613492e+08 3.0208520125049537e+08 3.1215869157775515e+08 3.3026939336313891e+08 3.6120416532530606e+08 3.3956596142609155e+08 +3.8014004668223444e+00 -8.1918948822833942e+06 -8.1807921783697726e+06 -8.1631497306819372e+06 -8.1386437563605309e+06 -8.1103397664690111e+06 -8.0845839949642010e+06 -8.0647766483515752e+06 -8.0456829121142132e+06 -8.0210748736802787e+06 -7.9884708267596569e+06 -7.9471297479211977e+06 -7.8957165697802696e+06 -7.8323998005918097e+06 -7.7551029593064263e+06 -7.6615025526569989e+06 -7.5488461492669201e+06 -7.4137981585857887e+06 -7.2523954840661455e+06 -7.0599616752374666e+06 -6.8309870279592108e+06 -6.5589861474335147e+06 -6.2362423818717413e+06 -5.8524133603935726e+06 -5.3898438530097557e+06 -4.8271485629454553e+06 -4.1521641452594739e+06 -3.3530286982457801e+06 -2.4106732333480665e+06 -1.3008588052433520e+06 4.9395406235410801e+03 1.5399085778865805e+06 3.3425480383524126e+06 5.4574101054161163e+06 7.9358997348529901e+06 1.0837112112259256e+07 1.4228670767626861e+07 1.8187502604330458e+07 2.2800450595861468e+07 2.8164575266870663e+07 3.4386912454455912e+07 4.2161768318860434e+07 5.1213349955996379e+07 6.1696010151998043e+07 7.3756315807644278e+07 8.7517797454107985e+07 1.0305982524285448e+08 1.2039082620713462e+08 1.3941799543079934e+08 1.5991878290226924e+08 1.8151989103953162e+08 2.0368876774673584e+08 2.2579777491444212e+08 2.4718870892666730e+08 2.6718183519835988e+08 2.8522724169084573e+08 3.0096647031722796e+08 3.1424397533226532e+08 3.2510317158447111e+08 3.3372726600804174e+08 3.4041654423047692e+08 3.4547418511673725e+08 3.4923059325120318e+08 3.5194575567598337e+08 3.5388415243133724e+08 3.5522219679490405e+08 3.5610247065522391e+08 3.5665680677163589e+08 3.5694923024981087e+08 3.5702783510967678e+08 3.5694905658465046e+08 3.5671750385495907e+08 3.5638295700468886e+08 3.5596255433284104e+08 3.5549404180305994e+08 3.5499275283631998e+08 3.5445847539789319e+08 3.5392402846180516e+08 3.5340010365925336e+08 3.5286619375903785e+08 3.5247558919203389e+08 3.5207701338801128e+08 3.5166852780553097e+08 3.5124000396626043e+08 3.5079773324585038e+08 3.5032618590780032e+08 3.4985601798252565e+08 3.4932379702797937e+08 3.4875426115817714e+08 3.4813694379602498e+08 3.4746367222379404e+08 3.4672451455653578e+08 3.4590828279247159e+08 3.4499595506346995e+08 3.4400413010959899e+08 3.4287441226915109e+08 3.4160789187560052e+08 3.4018620280958503e+08 3.3858957924601060e+08 3.3679763845223129e+08 3.3478993462294763e+08 3.3254101621746647e+08 3.3006814368414372e+08 3.2730803950830144e+08 3.2427870908817577e+08 3.2098715751600116e+08 3.1745919889309847e+08 3.1373875220290053e+08 3.0990941070624882e+08 3.0609295618074208e+08 3.0250618452140045e+08 2.9938697486587864e+08 2.9714437655772215e+08 2.9633471821096945e+08 2.9777527374040365e+08 3.0264676966475117e+08 3.1273898373442960e+08 3.3088336492117798e+08 3.6187560242320579e+08 3.3917274846692145e+08 +3.8063687895966027e+00 -6.7700341206921302e+06 -6.7591020661207754e+06 -6.7417395329911867e+06 -6.7175881487081405e+06 -6.6896151128746113e+06 -6.6640194196156049e+06 -6.6441384974707030e+06 -6.6248470219414365e+06 -6.6000245438967505e+06 -6.5672069110175241e+06 -6.5256356807938926e+06 -6.4739699684893200e+06 -6.4103762597893719e+06 -6.3327734003221607e+06 -6.2388312873943383e+06 -6.1257906400651745e+06 -5.9903073146725614e+06 -5.8284072662774371e+06 -5.6354010298638195e+06 -5.4057639302349668e+06 -5.1329932219737805e+06 -4.8093524865868939e+06 -4.4244771054100059e+06 -3.9606750143955126e+06 -3.3964925318070925e+06 -2.7197231858263384e+06 -1.9184881152278741e+06 -9.7368135440490465e+05 1.3898838262603435e+05 1.4481061016262926e+06 2.9869249943339350e+06 4.7940169665296003e+06 6.9140111215997813e+06 9.3983922684216499e+06 1.2306335517130109e+07 1.5705539734730249e+07 1.9672995985331148e+07 2.4295590713152692e+07 2.9670394378928468e+07 3.5904401676369391e+07 4.3692768793467797e+07 5.2758598412911415e+07 6.3255786859241448e+07 7.5330209751960352e+07 8.9104421853676647e+07 1.0465649935303965e+08 1.2199326025277194e+08 1.4102004206975222e+08 1.6151234600830042e+08 1.8309508373626930e+08 2.0523441697046477e+08 2.2730225644775370e+08 2.4864102981501880e+08 2.6857277227712220e+08 2.8655021641085404e+08 3.0221806454360908e+08 3.1542389531426990e+08 3.2621381302182114e+08 3.3477301296988171e+08 3.4140301165255946e+08 3.4640755394189209e+08 3.5011711059983498e+08 3.5279141025577646e+08 3.5469449746849352e+08 3.5600227486841625e+08 3.5685680709550506e+08 3.5738943241334885e+08 3.5766373780224985e+08 3.5772739242118609e+08 3.5763646713641697e+08 3.5739523889461875e+08 3.5705315100332087e+08 3.5662703400859880e+08 3.5615432344997948e+08 3.5565000705929065e+08 3.5511356617670184e+08 3.5457752661823285e+08 3.5405234278720939e+08 3.5351733635266572e+08 3.5312598535738587e+08 3.5272666555925339e+08 3.5231742501917177e+08 3.5188811200932717e+08 3.5144502765676218e+08 3.5097262425943488e+08 3.5050155787508899e+08 3.4996835767026681e+08 3.4939777368431038e+08 3.4877932002573818e+08 3.4810480889385641e+08 3.4736429007563198e+08 3.4654655492343813e+08 3.4563255764026982e+08 3.4463887214322764e+08 3.4350707249366260e+08 3.4223821784083843e+08 3.4081390817151564e+08 3.3921434118731397e+08 3.3741909653980035e+08 3.3540769069584763e+08 3.3315463591436678e+08 3.3067717114310735e+08 3.2791197669094402e+08 3.2487705917911816e+08 3.2157943662725419e+08 3.1804497075962722e+08 3.1431766159529364e+08 3.1048125664206707e+08 3.0665777228882784e+08 3.0306435547067463e+08 2.9993939277320993e+08 2.9769265888188785e+08 2.9688151856274474e+08 2.9832473467270672e+08 3.0320521699564105e+08 3.1331605073704845e+08 3.3149392417819101e+08 3.6254330771395260e+08 3.3877845020841551e+08 +3.8113371123708610e+00 -5.3473095020674961e+06 -5.3365480484730862e+06 -5.3194654131407272e+06 -5.2956686213247795e+06 -5.2680266345738508e+06 -5.2425912532643676e+06 -5.2226371233612970e+06 -5.2031483838915937e+06 -5.1781120427996274e+06 -5.1450815162961846e+06 -5.1032809725760184e+06 -5.0513637346198857e+06 -4.9874942951477673e+06 -4.9095868617642848e+06 -4.8153047636105167e+06 -4.7018819180919789e+06 -4.5659656866289368e+06 -4.4035711458369549e+06 -4.2099958992705848e+06 -3.9797003982742615e+06 -3.7061646616013753e+06 -3.3816326402935269e+06 -2.9957176470054090e+06 -2.5306910871312520e+06 -1.9650312874803103e+06 -1.2864888833766102e+06 -4.8316826166158204e+05 4.6407318009769008e+05 1.5795786281554508e+06 2.8919926166834664e+06 4.4346341423514560e+06 6.2461465670686187e+06 8.3712350748526817e+06 1.0861463348024961e+07 1.3776085280704586e+07 1.7182873753466204e+07 2.1158882463089194e+07 2.5791039572293498e+07 3.1176423488010220e+07 3.7421985531834595e+07 4.5223718624104492e+07 5.4303625691940635e+07 6.4815143302742437e+07 7.6903452729869694e+07 9.0690130585937440e+07 1.0625195805323017e+08 1.2359414524922110e+08 1.4262017641786614e+08 1.6310361226656348e+08 1.8466758639377823e+08 2.0677699092273107e+08 2.2880330406572706e+08 2.5008960260770425e+08 2.6995970583258355e+08 2.8786899881690609e+08 3.0346534458607876e+08 3.1659943984872615e+08 3.2732006747282678e+08 3.3581439844920486e+08 3.4238516774026644e+08 3.4733667588154209e+08 3.5099945171755522e+08 3.5363295996297699e+08 3.5550080589516002e+08 3.5677837942703032e+08 3.5760722686908287e+08 3.5811819146407527e+08 3.5837442215579903e+08 3.5842316363341022e+08 3.5832012275096303e+08 3.5806924488516492e+08 3.5771963705491966e+08 3.5728782269235843e+08 3.5681092746671164e+08 3.5630359420639640e+08 3.5576499840673566e+08 3.5522737329245615e+08 3.5470093658585739e+08 3.5416483940927982e+08 3.5377274607966256e+08 3.5337268642059189e+08 3.5296269513900399e+08 3.5253259737440473e+08 3.5208870394503307e+08 3.5161544931591272e+08 3.5114348940084529e+08 3.5060931542763340e+08 3.5003768919255799e+08 3.4941810559747785e+08 3.4874236184257209e+08 3.4800048949060786e+08 3.4718125936170834e+08 3.4626560189835328e+08 3.4527006616560036e+08 3.4413619635167652e+08 3.4286502049520522e+08 3.4143810487899345e+08 3.3983561093460661e+08 3.3803708090868282e+08 3.3602199375064307e+08 3.3376482575380725e+08 3.3128279432491016e+08 3.2851253805678451e+08 3.2547206469089699e+08 3.2216840510118610e+08 3.1862746836974108e+08 3.1489333509748572e+08 3.1104990617709398e+08 3.0721943132720822e+08 3.0361940641256136e+08 3.0048872283814746e+08 2.9823787648786926e+08 2.9742526251621377e+08 2.9887112434229988e+08 3.0376054282558030e+08 3.1388989215451813e+08 3.3210107067822373e+08 3.6320728069909680e+08 3.3838307500874949e+08 +3.8163054351451193e+00 -3.9237473876218563e+06 -3.9131565432583750e+06 -3.8963537904746593e+06 -3.8729115941999154e+06 -3.8456007517867167e+06 -3.8203259120501452e+06 -3.8002989447151069e+06 -3.7806134198859674e+06 -3.7553637951986236e+06 -3.7221210706467167e+06 -3.6800920548534794e+06 -3.6279243036870519e+06 -3.5637803466200284e+06 -3.4855697885147384e+06 -3.3909494317690087e+06 -3.2771464401673800e+06 -3.1407997385054464e+06 -2.9779135951529634e+06 -2.7837727655215347e+06 -2.5528229253694653e+06 -2.2785269726741649e+06 -1.9531093646014452e+06 -1.5661615245800093e+06 -1.0999186316133433e+06 -5.3279141561471357e+05 1.4751214629220596e+05 9.5290421137798205e+05 1.9025636781315575e+06 3.0208851919508227e+06 4.3365722918202998e+06 5.8830091653434495e+06 7.6989099119114131e+06 9.8290549560967647e+06 1.2325085873493560e+07 1.5246334201349823e+07 1.8660645510675952e+07 2.2645134603812095e+07 2.7286769611839533e+07 3.2682634901668295e+07 3.8939636199681692e+07 4.6754589863875940e+07 5.5848403748743504e+07 6.6374051390764259e+07 7.8476016682042614e+07 9.2274895742349833e+07 1.0784617375153525e+08 1.2519345414099479e+08 1.4421837223080453e+08 1.6469255656766102e+08 1.8623737538959283e+08 2.0831646781491637e+08 2.3030089811220923e+08 2.5153440998780093e+08 2.7134262097031587e+08 2.8918357638717151e+08 3.0470830012663513e+08 3.1777060056914276e+08 3.2842192822902870e+08 3.3685141710175890e+08 3.4336300824222934e+08 3.4826154754507452e+08 3.5187761388787484e+08 3.5447040260552275e+08 3.5630307592858654e+08 3.5755050900863802e+08 3.5835372876591569e+08 3.5884308291270530e+08 3.5908128245493239e+08 3.5911514801447868e+08 3.5900002279114473e+08 3.5873952126135963e+08 3.5838241464815146e+08 3.5794491991056263e+08 3.5746385340505570e+08 3.5695351384582329e+08 3.5641277166647488e+08 3.5587356806754196e+08 3.5534588464075959e+08 3.5480870251551193e+08 3.5441587094712657e+08 3.5401507556003398e+08 3.5360433775371569e+08 3.5317345965089744e+08 3.5272876170021713e+08 3.5225466066714936e+08 3.5178181215091866e+08 3.5124666989201313e+08 3.5067400727555496e+08 3.5005330010439831e+08 3.4937633066417944e+08 3.4863311239565563e+08 3.4781239570243180e+08 3.4689508743401450e+08 3.4589771177455097e+08 3.4476178344245964e+08 3.4348829943956453e+08 3.4205879253394020e+08 3.4045338809176403e+08 3.3865159116470081e+08 3.3663284339513743e+08 3.3437158534701633e+08 3.3188501284336436e+08 3.2910972322337717e+08 3.2606372524443632e+08 3.2275406256296682e+08 3.1920669135235268e+08 3.1546577234222281e+08 3.1161535894864911e+08 3.0777793293803793e+08 3.0417133699389595e+08 3.0103496471099353e+08 2.9878002902779430e+08 2.9796594972475636e+08 2.9941444240137786e+08 3.0431274680112791e+08 3.1446050762106633e+08 3.3270480403408659e+08 3.6386752095530456e+08 3.3798663120652342e+08 +3.8212737579193776e+00 -2.4993742175271376e+06 -2.4889539410292879e+06 -2.4724310359178665e+06 -2.4493434476372632e+06 -2.4223638444655729e+06 -2.3972497699038866e+06 -2.3771503357772087e+06 -2.3572685076989392e+06 -2.3318061816386264e+06 -2.2983519578521568e+06 -2.2560953149026078e+06 -2.2036780668584155e+06 -2.1392608097536066e+06 -2.0607485809828765e+06 -1.9657916978084166e+06 -1.8516106184833026e+06 -1.7148358896573421e+06 -1.5514610418325318e+06 -1.3567580657410186e+06 -1.1251579596989991e+06 -8.5010661626084975e+05 -5.2380913560006156e+05 -1.3583523176575336e+05 3.3161583785291854e+05 9.0020054460960790e+05 1.5822533343144360e+06 2.3897027002840065e+06 3.3417634957725378e+06 4.4628813834730303e+06 5.7818183827985395e+06 7.3320232574901413e+06 9.1522801250029150e+06 1.1287443809688604e+07 1.3789232799720488e+07 1.6717055134474952e+07 2.0138827752486717e+07 2.4131725035668053e+07 2.8782753335435759e+07 3.4189000996058375e+07 4.0457325931457967e+07 4.8285354643606290e+07 5.7392904622474030e+07 6.7932483121803030e+07 8.0047873646940678e+07 9.3858689520529836e+07 1.0943911897074616e+08 1.2679115999622609e+08 1.4581460339747587e+08 1.6627915394406870e+08 1.8780442725034970e+08 2.0985282601254189e+08 2.3179501908757257e+08 2.5297543479512113e+08 2.7272150294991869e+08 2.9049393674827659e+08 3.0594692098741186e+08 3.1893736924125159e+08 3.2951938870729548e+08 3.3788406369864231e+08 3.4433652901559961e+08 3.4918216564581203e+08 3.5275159449145621e+08 3.5530373608401597e+08 3.5710130587463206e+08 3.5831866223711348e+08 3.5909631165852451e+08 3.5956410582882792e+08 3.5978431792436975e+08 3.5980334490940678e+08 3.5967616669679368e+08 3.5940606753403890e+08 3.5904148334681529e+08 3.5859832526408279e+08 3.5811310089156371e+08 3.5759976561990422e+08 3.5705688560708541e+08 3.5651611059999698e+08 3.5598718661090451e+08 3.5544892533221692e+08 3.5505535962053025e+08 3.5465383263934559e+08 3.5424235252540779e+08 3.5381069850094128e+08 3.5336520058538032e+08 3.5289025797694838e+08 3.5241652578871024e+08 3.5188042072742510e+08 3.5130672759768659e+08 3.5068490321142113e+08 3.5000671502461141e+08 3.4926215845764375e+08 3.4843996361324066e+08 3.4752101391584003e+08 3.4652180863955402e+08 3.4538383343593460e+08 3.4410805434510422e+08 3.4267597080959600e+08 3.4106767233377165e+08 3.3926262698429751e+08 3.3724023930839705e+08 3.3497491437412983e+08 3.3248382638131875e+08 3.2970353187603360e+08 3.2665204052780557e+08 3.2333640870387191e+08 3.1978263940217865e+08 3.1603497302838087e+08 3.1217761465907973e+08 3.0833327682677311e+08 3.0472014692352200e+08 3.0157811810398060e+08 2.9931911621647513e+08 2.9850357990348148e+08 2.9995468856313384e+08 3.0486182863107657e+08 3.1502789683596802e+08 3.3330512392749441e+08 3.6452402813521826e+08 3.3758912712068456e+08 +3.8262420806936359e+00 -1.0742163395359376e+06 -1.0639665838466669e+06 -1.0477234966637016e+06 -1.0249905185533129e+06 -9.9834224740809901e+05 -9.7338915658806404e+05 -9.5321762582202442e+05 -9.3313998021437041e+05 -9.0746553779193887e+05 -8.7380051678419730e+05 -8.3131709503698710e+05 -7.7865137033310521e+05 -7.1396203506267839e+05 -6.3514959449320543e+05 -5.3985792250253784e+05 -4.2530082000110723e+05 -2.8810051409876830e+05 -1.2423986802595202e+05 7.1021808533457486e+04 3.0326809629197104e+05 5.7906999250237236e+05 9.0624161676584987e+05 1.2952347842186673e+06 1.7638858536856247e+06 2.3339181011174568e+06 3.0177081593800262e+06 3.8272006495494582e+06 4.7816460378330732e+06 5.9055405616759583e+06 7.2277041957517546e+06 8.7816496643804088e+06 1.0606230382896716e+07 1.2746374734004874e+07 1.5253877137292773e+07 1.8188220993118763e+07 2.1617393284967627e+07 2.5618626449387066e+07 3.0278963312274337e+07 3.5695494216424279e+07 4.1975027052005090e+07 4.9815985172518440e+07 5.8937100436409600e+07 6.9490410584985301e+07 8.1618995761111379e+07 9.5441484224242687e+07 1.1103076634912458e+08 1.2838723600772852e+08 1.4740884394050825e+08 1.6786337957038096e+08 1.8936871865206677e+08 2.1138604403574979e+08 2.3328564764958328e+08 2.5441266002657920e+08 2.7409633718421674e+08 2.9180006767411703e+08 3.0718119713186026e+08 3.2009973776359743e+08 3.3061244244698191e+08 3.3891233312767130e+08 3.4530572602638227e+08 3.5009852699791723e+08 3.5362139100606084e+08 3.5613295839118308e+08 3.5789549412844115e+08 3.5908283782097423e+08 3.5983497450346422e+08 3.6028125936293739e+08 3.6048352786779559e+08 3.6048775374238425e+08 3.6034855398433506e+08 3.6006888329015195e+08 3.5969684278904337e+08 3.5924803842835093e+08 3.5875866962634826e+08 3.5824234924457747e+08 3.5769733995329481e+08 3.5715500061939418e+08 3.5662484222921407e+08 3.5608550759270447e+08 3.5569121183441949e+08 3.5528895739300710e+08 3.5487673918856537e+08 3.5444431365963984e+08 3.5399802033565021e+08 3.5352224098024780e+08 3.5304763005067247e+08 3.5251056767056531e+08 3.5193584989616907e+08 3.5131291465657097e+08 3.5063351466169292e+08 3.4988762741475248e+08 3.4906396283333164e+08 3.4814338108315003e+08 3.4714235650087708e+08 3.4600234607400304e+08 3.4472428495459080e+08 3.4328963944936746e+08 3.4167846340485102e+08 3.3987018811317247e+08 3.3784418123732603e+08 3.3557481258408833e+08 3.3307923468980813e+08 3.3029396376778901e+08 3.2723701029678690e+08 3.2391544328189570e+08 3.2035531227970499e+08 3.1660093691913366e+08 3.1273667307447195e+08 3.0888546276250368e+08 3.0526583597368038e+08 3.0211818279136270e+08 2.9985513782956111e+08 2.9903815282883799e+08 3.0049186260325080e+08 3.0540778808722293e+08 3.1559205956345814e+08 3.3390203010907280e+08 3.6517680196606195e+08 3.3719057105045009e+08 +3.8312104034678942e+00 3.5169999370169395e+05 3.6177922925501526e+05 3.7774252468536620e+05 4.0012090415003611e+05 4.2643775563242630e+05 4.5122964424928551e+05 4.7147290139676444e+05 4.9174587528388749e+05 5.1763184618936817e+05 5.5150695924809354e+05 5.9421630801452545e+05 6.4712948532974126e+05 7.1208967261945654e+05 7.9120086136251071e+05 8.8682557916734007e+05 1.0017566342026147e+06 1.1393800601269486e+06 1.3037235901983019e+06 1.4995405119796158e+06 1.7324288865337083e+06 2.0089764850378337e+06 2.3370165093325838e+06 2.7270221231931457e+06 3.1968649956546267e+06 3.7683348095655637e+06 4.4538501483706385e+06 5.2653715523955924e+06 6.2221847584991492e+06 7.3488361356199617e+06 8.6742030878108907e+06 1.0231861683628537e+07 1.2060733915387746e+07 1.4205820882101696e+07 1.6718991953176897e+07 1.9659804748596258e+07 2.3096314974693466e+07 2.7105811598852765e+07 3.1775372177838031e+07 3.7202087077880800e+07 4.3492711959900133e+07 5.1346453738695152e+07 6.0480963398632459e+07 7.1047805960755005e+07 8.3189355259745881e+07 9.7023252264273927e+07 1.1262108864009580e+08 1.2998165549279536e+08 1.4900106801603231e+08 1.6944520876344934e+08 1.9093022642031154e+08 2.1291610055914640e+08 2.3477276461327177e+08 2.5584606883552110e+08 2.7546710923999369e+08 2.9310195708625132e+08 3.0841111866330391e+08 3.2125769816595894e+08 3.3170108311182541e+08 3.3993622039144218e+08 3.4627059534872162e+08 3.5101062851901352e+08 3.5448700100573653e+08 3.5695806761242598e+08 3.5868563917297947e+08 3.5984303455479556e+08 3.6056971633881432e+08 3.6099454274579948e+08 3.6117891166751355e+08 3.6116837401386261e+08 3.6101718424573386e+08 3.6072796819132191e+08 3.6034849268859929e+08 3.5989405915294486e+08 3.5940055938321096e+08 3.5888126450933945e+08 3.5833413450373203e+08 3.5779023792904460e+08 3.5725885130058217e+08 3.5671844910362655e+08 3.5632342739501005e+08 3.5592044962787813e+08 3.5550749755111939e+08 3.5507430493460017e+08 3.5462722075901318e+08 3.5415060948532486e+08 3.5367512474544865e+08 3.5313711053016233e+08 3.5256137398006082e+08 3.5193733424873227e+08 3.5125672938515764e+08 3.5050951907734752e+08 3.4968439317306900e+08 3.4876218874698794e+08 3.4775935517048210e+08 3.4661732116896963e+08 3.4533699108103347e+08 3.4389979826700699e+08 3.4228576111957258e+08 3.4047427436707044e+08 3.3844466899849099e+08 3.3617127979499394e+08 3.3367123758829767e+08 3.3088101871969080e+08 3.2781863437356788e+08 3.2449116612128389e+08 3.2092470981139582e+08 3.1716366384266526e+08 3.1329253402511716e+08 3.0943449057740515e+08 3.0580840397884572e+08 3.0265515860901654e+08 3.0038809370453298e+08 2.9956966833846760e+08 3.0102596435843509e+08 3.0595062500330639e+08 3.1615299563224703e+08 3.3449552239713627e+08 3.6582584224967116e+08 3.3679097127523142e+08 +3.8361787262421525e+00 1.7783484932010411e+06 1.7882572507670403e+06 1.8039407856406199e+06 1.8259645719979657e+06 1.8519499280099170e+06 1.8765803958159937e+06 1.8968950081855603e+06 1.9173628177675856e+06 1.9434597262926879e+06 1.9775442231198126e+06 2.0204786437470394e+06 2.0736382458177782e+06 2.1388680547602884e+06 2.2182765233507310e+06 2.3142325386429778e+06 2.4295354695529584e+06 2.5675795515768514e+06 2.7324030434846468e+06 2.9287717461168109e+06 3.1622981019617827e+06 3.4395865399536840e+06 3.7684892063434380e+06 4.1595004326507836e+06 4.6305268915076545e+06 5.2034242739650654e+06 5.8906528769800346e+06 6.7041889514014870e+06 7.6633531619343376e+06 8.7927415650987457e+06 1.0121288467703704e+07 1.1682632665481320e+07 1.3515764006128557e+07 1.5665755462291915e+07 1.8184550371201672e+07 2.1131779431110460e+07 2.4575565749387186e+07 2.8593253301681381e+07 3.3271952634310324e+07 3.8708752165796541e+07 4.5010353128228813e+07 5.2876732709540062e+07 6.2024465802231282e+07 7.2604641521423534e+07 8.4758924477233097e+07 9.8603966158470660e+07 1.1421005871344674e+08 1.3157439189393817e+08 1.5059124991433904e+08 1.7102461698225167e+08 1.9248892752955005e+08 2.1444297441173050e+08 2.3625635094998297e+08 2.5727564453148991e+08 2.7683380483630610e+08 2.9439959305390739e+08 3.0963667582457769e+08 3.2241124261005133e+08 3.3278530448870808e+08 3.4095572060765314e+08 3.4723113316479892e+08 3.5191846722764111e+08 3.5534842216088265e+08 3.5777906192440975e+08 3.5947173957962191e+08 3.6059925131771713e+08 3.6130053628554207e+08 3.6170395528887260e+08 3.6187046878443527e+08 3.6184520530159545e+08 3.6168205714978671e+08 3.6138332197461832e+08 3.6099643283254266e+08 3.6053638726122242e+08 3.6003877000999588e+08 3.5951651127700239e+08 3.5896726912934351e+08 3.5842182240441215e+08 3.5788921370299882e+08 3.5734774974381632e+08 3.5695200618171465e+08 3.5654830922375381e+08 3.5613462749219602e+08 3.5570067220543820e+08 3.5525280173492128e+08 3.5477536337257195e+08 3.5429900975300103e+08 3.5376004918695015e+08 3.5318329972982436e+08 3.5255816186900598e+08 3.5187635907616085e+08 3.5112783332676333e+08 3.5030125451408422e+08 3.4937743678900748e+08 3.4837280453060281e+08 3.4722875860303545e+08 3.4594617260700446e+08 3.4450644714591050e+08 3.4288956536225557e+08 3.4107488563064820e+08 3.3904170247740132e+08 3.3676431589262712e+08 3.3425983496404916e+08 3.3146469661957031e+08 3.2839691264715952e+08 3.2506357711193991e+08 3.2149083188834560e+08 3.1772315369149810e+08 3.1384519740480399e+08 3.0998036016681629e+08 3.0634785083517891e+08 3.0318904545467550e+08 3.0091798373977286e+08 3.0009812633100319e+08 3.0155699372679114e+08 3.0649033927658498e+08 3.1671070493498737e+08 3.3508560067874187e+08 3.6647114886209261e+08 3.3639033605456018e+08 +3.8411470490164108e+00 3.2057029689599010e+06 3.2154412692336962e+06 3.2308450981372166e+06 3.2525142830776153e+06 3.2781680780725228e+06 3.3026369082065462e+06 3.3230225033972613e+06 3.3436846530663078e+06 3.3699919052714435e+06 3.4042850745224343e+06 3.4474437084908518e+06 3.5008487036945480e+06 3.5663468997524907e+06 3.6460511752188844e+06 3.7423367344166469e+06 3.8580094586061239e+06 3.9964717260323642e+06 4.1617722498178901e+06 4.3586892599359788e+06 4.5928494811322102e+06 4.8708738836744772e+06 5.2006334200709956e+06 5.5926434083647160e+06 6.0648452175976112e+06 6.6391601473190580e+06 7.3280899703404177e+06 8.1436264391074367e+06 9.1051248029129319e+06 1.0237230361274242e+07 1.1568933796418060e+07 1.3133936013471726e+07 1.4971293993235471e+07 1.7126151738789372e+07 1.9650525572786618e+07 2.2604118130308472e+07 2.6055118598500278e+07 3.0080924439910680e+07 3.4768677451397493e+07 4.0215462136458881e+07 4.6527923104930252e+07 5.4406794532626398e+07 6.3567580026112072e+07 7.4160889631357759e+07 8.6327675847499445e+07 1.0018359853241730e+08 1.1579764955499098e+08 1.3316541877874596e+08 1.5217936405996397e+08 1.7260157982859513e+08 1.9404479910399082e+08 2.1596664457682666e+08 2.3773638778769928e+08 2.5870137058044082e+08 2.7819640984557223e+08 2.9569296379245633e+08 3.1085785899810648e+08 3.2356036338826782e+08 3.3386510048651844e+08 3.4197082900910175e+08 3.4818733576359528e+08 3.5282204024295622e+08 3.5620565223727679e+08 3.5859593959514588e+08 3.6025379400600666e+08 3.6135148707312357e+08 3.6202743354593837e+08 3.6240949638253659e+08 3.6255819875695366e+08 3.6251824726016259e+08 3.6234317244051838e+08 3.6203494445181805e+08 3.6164066308259308e+08 3.6117502265003943e+08 3.6067330142695194e+08 3.6014808948257929e+08 3.5959674377413219e+08 3.5904975399377918e+08 3.5851592938697207e+08 3.5797340946444559e+08 3.5757694814617920e+08 3.5717253613172632e+08 3.5675812896338683e+08 3.5632341542415714e+08 3.5587476321572894e+08 3.5539650259265661e+08 3.5491928502530164e+08 3.5437938359219420e+08 3.5380162709744489e+08 3.5317539746937007e+08 3.5249240368657017e+08 3.5174257011490643e+08 3.5091454680854023e+08 3.4998912516189909e+08 3.4898270453384566e+08 3.4783665832957220e+08 3.4655182948600674e+08 3.4510958603926790e+08 3.4348987608610392e+08 3.4167202185735232e+08 3.3963528162783289e+08 3.3735392083098853e+08 3.3484502677110302e+08 3.3204499742236745e+08 3.2897184507293934e+08 3.2563267620991141e+08 3.2205367846667397e+08 3.1827940642229414e+08 3.1439466317071515e+08 3.1052307148800129e+08 3.0688417650107396e+08 3.0371984328707790e+08 3.0144480789401144e+08 3.0062352676543081e+08 3.0208495066709405e+08 3.0702693086442065e+08 3.1726518742888308e+08 3.3567226490769726e+08 3.6711272175398946e+08 3.3598867362801558e+08 +3.8461153717906691e+00 4.6337372345948676e+06 4.6433051195980804e+06 4.6584292992395991e+06 4.6797438928617556e+06 4.7050660588801336e+06 4.7293730388643453e+06 4.7498292429187801e+06 4.7706852344167801e+06 4.7972022332695480e+06 4.8317033605814939e+06 4.8750853460414410e+06 4.9287346990189357e+06 4.9945000435366910e+06 5.0744986483078515e+06 5.1711119926379267e+06 5.2871524216642594e+06 5.4260303971169256e+06 5.5918050151238758e+06 5.7892668505116673e+06 6.0240568108462924e+06 6.3028122910397332e+06 6.6334229114312502e+06 7.0264247950163716e+06 7.4997936994932061e+06 8.0755161322136549e+06 8.7661351036233623e+06 9.5836576586661637e+06 1.0547473287437377e+07 1.1682276087265143e+07 1.3017112587754395e+07 1.4585745184970809e+07 1.6427297269910753e+07 1.8586983032293752e+07 2.1116890797448277e+07 2.4076793995912168e+07 2.7534946573792964e+07 3.1568797960432500e+07 3.6265519466682941e+07 4.1722189717636451e+07 4.8045394513552740e+07 5.5936611735849366e+07 6.5110278535465553e+07 7.5716522747865945e+07 8.7895581904567599e+07 1.0176212211970942e+08 1.1738383426733392e+08 1.3475470984051532e+08 1.5376538501179862e+08 1.7417607304661781e+08 1.9559781841729525e+08 2.1748709019200552e+08 2.3921285641147411e+08 2.6012323060345238e+08 2.7955491029128700e+08 2.9698205766422629e+08 3.1207465870488811e+08 3.2470505292366046e+08 3.3494046513602072e+08 3.4298154094198090e+08 3.4913919954156637e+08 3.5372134478521156e+08 3.5705868909667736e+08 3.5940869898311961e+08 3.6103180119840789e+08 3.6209974086835217e+08 3.6275040740435678e+08 3.6311116549738520e+08 3.6324210120187706e+08 3.6318749962022758e+08 3.6300052993683159e+08 3.6268283550851601e+08 3.6228118337414175e+08 3.6180996528902608e+08 3.6130415362715226e+08 3.6077599913414389e+08 3.6022255845397794e+08 3.5967403271713501e+08 3.5913899837416613e+08 3.5859542828805202e+08 3.5819825331092077e+08 3.5779313037499905e+08 3.5737800198753089e+08 3.5694253461303383e+08 3.5649310522364342e+08 3.5601402716899323e+08 3.5553595058518505e+08 3.5499511376918620e+08 3.5441635610574687e+08 3.5378904107234913e+08 3.5310486323923188e+08 3.5235372946454036e+08 3.5152427007874781e+08 3.5059725388757092e+08 3.4958905520266622e+08 3.4844102037070012e+08 3.4715396174006945e+08 3.4570921496926278e+08 3.4408669331314868e+08 3.4226568306921607e+08 3.4022540647149736e+08 3.3794009463165355e+08 3.3542681303169787e+08 3.3262192114935559e+08 3.2954343167242420e+08 3.2619846343612623e+08 3.2261324956751823e+08 3.1883242205583113e+08 3.1494093134324414e+08 3.1106262456133401e+08 3.0741738099650860e+08 3.0424755212572926e+08 3.0196856618702441e+08 3.0114586966125476e+08 3.0260983519886929e+08 3.0756039978679574e+08 3.1781644313421607e+08 3.3625551510597098e+08 3.6775056094909686e+08 3.3558599221514988e+08 +3.8510836945649274e+00 6.0624251984528480e+06 6.0718227388495235e+06 6.0866672436633920e+06 6.1076272937522409e+06 6.1326177759337695e+06 6.1567626935077384e+06 6.1772891302661439e+06 6.1983384630285809e+06 6.2250646084442232e+06 6.2597729764632629e+06 6.3033774482576465e+06 6.3572701199598536e+06 6.4233013702101484e+06 6.5035928221828714e+06 6.6005321877446780e+06 6.7169382273905054e+06 6.8562294269026862e+06 7.0224751939080451e+06 7.2204783636136567e+06 7.4558939267579773e+06 7.7353755859432844e+06 8.0668314906055182e+06 8.4608183868145552e+06 8.9353461125895474e+06 9.5124659814532623e+06 1.0204762002688421e+07 1.1024256304400425e+07 1.1990372273338720e+07 1.3127852358767511e+07 1.4465798408979310e+07 1.6038033691851040e+07 1.7883747285022289e+07 2.0048222720574014e+07 2.2583619343500603e+07 2.5549780238322113e+07 2.9015022789919689e+07 3.3056846875695970e+07 3.7762451586332865e+07 4.3228907709189311e+07 4.9562740053646654e+07 5.7466156928233847e+07 6.6652533882089198e+07 7.7271513421366885e+07 8.9462615282916427e+07 1.0333950976250449e+08 1.1896858606998350e+08 1.3634223889844245e+08 1.5534928746309790e+08 1.7574807252334622e+08 1.9714796289261737e+08 2.1900429054931706e+08 2.4068573826207608e+08 2.6154120837764314e+08 2.8090929235007858e+08 2.9826686317718589e+08 3.1328706560475957e+08 3.2584530376933014e+08 3.3601139259025252e+08 3.4398785186630148e+08 3.5008672100125611e+08 3.5461637817500949e+08 3.5790753069501543e+08 3.6021733853788096e+08 3.6180575998894358e+08 3.6284401183479828e+08 3.6346945722611910e+08 3.6380896218255723e+08 3.6392217581308532e+08 3.6385296218861812e+08 3.6365412953315324e+08 3.6332699510480452e+08 3.6291799371554971e+08 3.6244121522111499e+08 3.6193132667628336e+08 3.6140024031167209e+08 3.6084471325658703e+08 3.6029465866627288e+08 3.5975842075845617e+08 3.5921380630936140e+08 3.5881592177063733e+08 3.5841009204767281e+08 3.5799424665922517e+08 3.5755802986655289e+08 3.5710782785299063e+08 3.5662793719507557e+08 3.5614900652668971e+08 3.5560723981154287e+08 3.5502748684831852e+08 3.5439909277147561e+08 3.5371373782709068e+08 3.5296131146848482e+08 3.5213042441789031e+08 3.5120182305866277e+08 3.5019185662948424e+08 3.4904184481806475e+08 3.4775256946097535e+08 3.4630533402724248e+08 3.4468001713430005e+08 3.4285586935654145e+08 3.4081207709844732e+08 3.3852283738373345e+08 3.3600519383391255e+08 3.3319546788877594e+08 3.3011167253211886e+08 3.2676093887646747e+08 3.2316954527575499e+08 3.1938220067596072e+08 3.1548400200545126e+08 3.1159901946865278e+08 3.0794746440285522e+08 3.0477217205115843e+08 3.0248925869842517e+08 3.0166515509755814e+08 3.0313164740177643e+08 3.0809074612530267e+08 3.1836447213486886e+08 3.3683535136185521e+08 3.6838466654467279e+08 3.3518230001541895e+08 +3.8560520173391857e+00 7.4917408524376629e+06 7.5009680057926979e+06 7.5155329175417610e+06 7.5361384721648432e+06 7.5607971898686560e+06 7.5847798263453804e+06 7.6053761173647391e+06 7.6266182886337480e+06 7.6535529775922140e+06 7.6884678659912311e+06 7.7322939556712564e+06 7.7864289034001296e+06 7.8527248126446381e+06 7.9333076252264343e+06 8.0305712430651123e+06 8.1473407934271982e+06 8.2870427265423704e+06 8.4537566898547392e+06 8.6522976943365615e+06 8.8883347140028458e+06 9.1685376419349499e+06 9.5008330176508036e+06 9.8957980280856416e+06 1.0371476282723593e+07 1.0949983498654518e+07 1.1643944444631159e+07 1.2465396122461298e+07 1.3433795470877582e+07 1.4573932844645431e+07 1.5914964881404813e+07 1.7490775101064537e+07 1.9340617543731019e+07 2.1509844239098005e+07 2.4050684568506956e+07 2.7023050129150838e+07 3.0495320425058506e+07 3.4545044264221922e+07 3.9259446785574697e+07 4.4735588983461387e+07 5.1079932501344889e+07 5.8995402800321534e+07 6.8194318705253348e+07 7.8825834295994192e+07 9.1028748717849270e+07 1.0491573441156934e+08 1.2055187830000624e+08 1.3792797989771554e+08 1.5693104624251238e+08 1.7731755428838280e+08 1.9869521010229439e+08 2.2051822509430787e+08 2.4215501493669027e+08 2.6295528783556968e+08 2.8225954234949178e+08 2.9954736898498988e+08 3.1449507049491388e+08 3.2698110860747302e+08 3.3707787712337321e+08 3.4498975735585612e+08 3.5102989675175023e+08 3.5550713783225197e+08 3.5875217508323449e+08 3.6102185679847449e+08 3.6257566929644901e+08 3.6358429918706405e+08 3.6418458245691514e+08 3.6450288606638795e+08 3.6459842236154807e+08 3.6451463484779525e+08 3.6430397119797134e+08 3.6396742327457935e+08 3.6355109418806666e+08 3.6306877256160206e+08 3.6255482071205747e+08 3.6202081316652858e+08 3.6146320834149039e+08 3.6091163200457913e+08 3.6037419670502168e+08 3.5982854369371128e+08 3.5942995369063991e+08 3.5902342131556362e+08 3.5860686314331317e+08 3.5816990134978765e+08 3.5771893126838320e+08 3.5723823283547658e+08 3.5675845301427847e+08 3.5621576188357192e+08 3.5563501948900461e+08 3.5500555273038000e+08 3.5431902761362553e+08 3.5356531628987312e+08 3.5273300998825479e+08 3.5180283283714157e+08 3.5079110897627956e+08 3.4963913183377504e+08 3.4834765280895811e+08 3.4689794337320656e+08 3.4526984770872259e+08 3.4344258087766761e+08 3.4139529366577345e+08 3.3910214924344534e+08 3.3658016933312631e+08 3.3376563779425710e+08 3.3067656780492496e+08 3.2732010268205357e+08 3.2372256574051392e+08 3.1992874243033963e+08 3.1602387530291378e+08 3.1213225635348040e+08 3.0847442686209577e+08 3.0529370320432317e+08 3.0300688556789291e+08 3.0218138321396494e+08 3.0365038741582000e+08 3.0861797002150488e+08 3.1890927457752526e+08 3.3741177383077174e+08 3.6901503871064448e+08 3.3477760520811039e+08 +3.8610203401134440e+00 8.9216580523448084e+06 8.9307149428725019e+06 8.9450003912851084e+06 8.9652513860644400e+06 8.9895783014976811e+06 9.0133984395683166e+06 9.0340642054528352e+06 9.0554987100920584e+06 9.0826413367562741e+06 9.1177620222373493e+06 9.1618088581053242e+06 9.2161850355547648e+06 9.2827443530756105e+06 9.3636170352462456e+06 9.4612031314218007e+06 9.5783340869883690e+06 9.7184442568390425e+06 9.8856234564189091e+06 1.0084698787669014e+07 1.0321353107759735e+07 1.0602272382793201e+07 1.0935401403067283e+07 1.1331337613894515e+07 1.1808158086782949e+07 1.2388042538840571e+07 1.3083656258440834e+07 1.3907050911385620e+07 1.4877716643345132e+07 1.6020491267553153e+07 1.7364585680993587e+07 1.8943943035213917e+07 2.0797881608035069e+07 2.2971821081599612e+07 2.5518059890038382e+07 2.8496577001898013e+07 3.1975812721425038e+07 3.6033363271215998e+07 4.0756478109409414e+07 4.6242206486005999e+07 5.2596944710039832e+07 6.0524322124752738e+07 6.9735605731743380e+07 8.0379458110055029e+07 9.2593955046118826e+07 1.0649076912729219e+08 1.2213368441200370e+08 1.3951190691016543e+08 1.5851063631324613e+08 1.7888449451455280e+08 2.0023953776860386e+08 2.2202887342691997e+08 2.4362066818798566e+08 2.6436545306395736e+08 2.8360564676837832e+08 3.0082356388618761e+08 3.1569866431056815e+08 3.2811246025021642e+08 3.3813991312953639e+08 3.4598725309626698e+08 3.5196872350679189e+08 3.5639362127685362e+08 3.5959262040629864e+08 3.6182225239403832e+08 3.6334152812535226e+08 3.6432060222225189e+08 3.6489578262337565e+08 3.6519293685524309e+08 3.6527084069455767e+08 3.6517251755547172e+08 3.6495005497396421e+08 3.6460412012450385e+08 3.6418048494570470e+08 3.6369263749780661e+08 3.6317463594397169e+08 3.6263771792209369e+08 3.6207804393952256e+08 3.6152495296650869e+08 3.6098632644975162e+08 3.6043964067753637e+08 3.6004034930748481e+08 3.5963311841455942e+08 3.5921585167583513e+08 3.5877814929813343e+08 3.5832641570523334e+08 3.5784491432491618e+08 3.5736429028240210e+08 3.5682068021950525e+08 3.5623895426180780e+08 3.5560842118239421e+08 3.5492073283184415e+08 3.5416574416106224e+08 3.5333202702169776e+08 3.5240028345424163e+08 3.5138681247298694e+08 3.5023288164690053e+08 3.4893921201354694e+08 3.4748704323494416e+08 3.4585618526309764e+08 3.4402581785820991e+08 3.4197505639798015e+08 3.3967803043377769e+08 3.3715173975082934e+08 3.3433243108524436e+08 3.3123811770787126e+08 3.2787595506821311e+08 3.2427231117456031e+08 3.2047204752894789e+08 3.1656055144335073e+08 3.1266233542117262e+08 3.0899826857725030e+08 3.0581214578543508e+08 3.0352144699453503e+08 3.0269455420882517e+08 3.0416605544047815e+08 3.0914207167845118e+08 3.1945085067204565e+08 3.3798478273454022e+08 3.6964167768982810e+08 3.3437191595227557e+08 +3.8659886628877023e+00 1.0352150899819668e+07 1.0361037653972806e+07 1.0375043550400779e+07 1.0394940090994790e+07 1.0418935150074957e+07 1.0442592584236484e+07 1.0463327445934569e+07 1.0484953776012575e+07 1.0512303731828272e+07 1.0547629488122271e+07 1.0591896195252227e+07 1.0646512552554138e+07 1.0713334023725146e+07 1.0794495080098486e+07 1.0892401875731530e+07 1.1009892125461563e+07 1.1150408028886920e+07 1.1318049497464588e+07 1.1517655639124664e+07 1.1754923093901545e+07 1.2036553783176992e+07 1.2370510608462667e+07 1.2767411090638792e+07 1.3245365453289693e+07 1.3826617009065265e+07 1.4523871325564349e+07 1.5349194522730026e+07 1.6322109607703423e+07 1.7467501404516555e+07 1.8814634538952265e+07 2.0397511173149396e+07 2.2255513097433876e+07 2.4434126800678857e+07 2.6985718786053173e+07 2.9970334252431892e+07 3.3456472985850547e+07 3.7521777109123521e+07 4.2253518672945313e+07 4.7748733236162946e+07 5.4113749610710293e+07 6.2052887756870538e+07 7.1276367776782021e+07 8.1932357696677014e+07 9.4158207206453338e+07 1.0806458707933550e+08 1.2371397797857273e+08 1.4109399413420779e+08 1.6008803277387422e+08 1.8044886951741621e+08 2.0178092376276252e+08 2.2353621530085400e+08 2.4508267992496538e+08 2.6577168830472600e+08 2.8494759223646140e+08 3.0209543682452977e+08 3.1689783812399417e+08 3.2923935163803309e+08 3.3919749512371272e+08 3.4698033488603920e+08 3.5290319808649379e+08 3.5727582612734437e+08 3.6042886490298182e+08 3.6261852404328012e+08 3.6410333556643957e+08 3.6505292032052910e+08 3.6560305733203745e+08 3.6587911433338690e+08 3.6593943073639590e+08 3.6582661034411502e+08 3.6559238097777599e+08 3.6523708583444405e+08 3.6480616621551186e+08 3.6431281028825676e+08 3.6379077265265024e+08 3.6325095487276977e+08 3.6268922035172188e+08 3.6213462185718483e+08 3.6159481029915875e+08 3.6104709756749302e+08 3.6064710892768282e+08 3.6023918365079260e+08 3.5982121256269974e+08 3.5938277401731056e+08 3.5893028146842849e+08 3.5844798196838999e+08 3.5796651863585216e+08 3.5742199512318987e+08 3.5683929147021270e+08 3.5620769843078876e+08 3.5551885378422123e+08 3.5476259538387281e+08 3.5392747581935799e+08 3.5299417521018183e+08 3.5197896742016506e+08 3.5082309455645227e+08 3.4952724737178916e+08 3.4807263390851325e+08 3.4643903009269905e+08 3.4460558059144044e+08 3.4255136558623004e+08 3.4025048124376345e+08 3.3771990537413806e+08 3.3489584804673690e+08 3.3179632252364266e+08 3.2842849631389713e+08 3.2481878185452026e+08 3.2101211624537826e+08 3.1709403069671142e+08 3.1318925693794250e+08 3.0951898981158280e+08 3.0632750005550158e+08 3.0403294323728108e+08 3.0320466834010637e+08 3.0467865173507661e+08 3.0966305135985047e+08 3.1998920069070852e+08 3.3855437836134613e+08 3.7026458379766238e+08 3.3396524038665926e+08 +3.8709569856619606e+00 1.1783193489306765e+07 1.1791910082500480e+07 1.1805636611776032e+07 1.1825178688571861e+07 1.1848841825680720e+07 1.1872336362926876e+07 1.1893139940927653e+07 1.1914957585423276e+07 1.1942514259158447e+07 1.1978044356984695e+07 1.2022530057258198e+07 1.2077385541044757e+07 1.2144467907388415e+07 1.2225915838238666e+07 1.2324141549612010e+07 1.2441988977021283e+07 1.2582908104642348e+07 1.2751008867790956e+07 1.2951142295327490e+07 1.3189018709557962e+07 1.3471355869186776e+07 1.3806134647092108e+07 1.4203992456629271e+07 1.4683072362966063e+07 1.5265680869006759e+07 1.5964563580510493e+07 1.6791800861630622e+07 1.7766948235068951e+07 1.8914937087506965e+07 2.0265085242309451e+07 2.1851453250617135e+07 2.3713485689436153e+07 2.5896735008393798e+07 2.8453634795708492e+07 3.1444295339608159e+07 3.4937274590456337e+07 3.9010259058116458e+07 4.3750541662141964e+07 4.9255142327383816e+07 5.5630320212582387e+07 6.3581072635019489e+07 7.2816577744213179e+07 8.3484505983815566e+07 9.5721478239431977e+07 1.0963716154775818e+08 1.2529273269087803e+08 1.4267421589512426e+08 1.6166321085841259e+08 1.8201065575610271e+08 2.0331934610598868e+08 2.2504023062378231e+08 2.4654103221183088e+08 2.6717397795418620e+08 2.8628536553420573e+08 3.0336297688816088e+08 3.1809258314415389e+08 3.3036177583976221e+08 3.4025061774086523e+08 3.4796899863598657e+08 3.5383331741505688e+08 3.5815375010092533e+08 3.6126090690493882e+08 3.6341067055260944e+08 3.6486109079494256e+08 3.6578125294420731e+08 3.6630640626919574e+08 3.6656141836291051e+08 3.6660419248705083e+08 3.6647691332149154e+08 3.6623094939986467e+08 3.6586632065716970e+08 3.6542813829544955e+08 3.6492929126395231e+08 3.6440323119005734e+08 3.6386052438335353e+08 3.6329673795108342e+08 3.6274063905221158e+08 3.6219964863037211e+08 3.6165091474086803e+08 3.6125023292824894e+08 3.6084161740106380e+08 3.6042294618019849e+08 3.5998377588299185e+08 3.5953052893364155e+08 3.5904743613997144e+08 3.5856513844844508e+08 3.5801970696846235e+08 3.5743603148729879e+08 3.5680338484741628e+08 3.5611339084201372e+08 3.5535587032880676e+08 3.5451935675111049e+08 3.5358450847332102e+08 3.5256757418481344e+08 3.5140977092885607e+08 3.5011175924928474e+08 3.4865471575820684e+08 3.4701838255886984e+08 3.4518186943751591e+08 3.4312422158869606e+08 3.4081950202898860e+08 3.3828466655618906e+08 3.3545588902873975e+08 3.3235118259871143e+08 3.2897772676290548e+08 3.2536197811997187e+08 3.2154894891478515e+08 3.1762431339395815e+08 3.1371302123103309e+08 3.1003659088866335e+08 3.0683976633454108e+08 3.0454137461403614e+08 3.0371172592497826e+08 3.0518817661775327e+08 3.1018090938902158e+08 3.2052432496794516e+08 3.3912056106449991e+08 3.7088375742127067e+08 3.3355758662963456e+08 +3.8759253084362189e+00 1.3214760044863557e+07 1.3223306400763020e+07 1.3236753578922877e+07 1.3255941336908055e+07 1.3279272483390315e+07 1.3302603931220707e+07 1.3323475843591578e+07 1.3345484288412327e+07 1.3373247066119703e+07 1.3408980773214579e+07 1.3453684585347407e+07 1.3508778138797723e+07 1.3576120138016524e+07 1.3657853439363105e+07 1.3756396277973903e+07 1.3874598761194436e+07 1.4015918597516123e+07 1.4184475673826301e+07 1.4385132854598457e+07 1.4623614043727651e+07 1.4906652718963610e+07 1.5242247584483607e+07 1.5641055762703504e+07 1.6121252849429697e+07 1.6705208131512385e+07 1.7405707011448376e+07 1.8234843887410544e+07 1.9212206451405630e+07 2.0362772204063222e+07 2.1715911634510141e+07 2.3305743060752645e+07 2.5171773120201640e+07 2.7359619376760438e+07 2.9921781519695066e+07 3.2918433785851855e+07 3.6418190973014787e+07 4.0498782466768593e+07 4.5247520334285557e+07 5.0761406927896433e+07 5.7146629603576988e+07 6.5108849781188175e+07 7.4356208627133951e+07 8.5035875995158732e+07 9.7283741288574487e+07 1.1120846592267650e+08 1.2686992235856897e+08 1.4425254664557141e+08 1.6323614593635702e+08 1.8356982983225721e+08 2.0485478296866801e+08 2.2654089945690984e+08 2.4799570726799121e+08 2.6857230656256914e+08 2.8761895359191811e+08 3.0462617330827218e+08 3.1928289071595496e+08 3.3147972605150002e+08 3.4129927573473322e+08 3.4895324036709601e+08 3.5475907852096850e+08 3.5902739101287210e+08 3.6208874483722311e+08 3.6419869081838959e+08 3.6561479307138258e+08 3.6650559963734448e+08 3.6700582920044333e+08 3.6723984888310134e+08 3.6726512602113003e+08 3.6712342666887516e+08 3.6686576050351959e+08 3.6649182491756707e+08 3.6604640155559808e+08 3.6554208082682818e+08 3.6501201197913039e+08 3.6446642688963169e+08 3.6390059717957312e+08 3.6334300499713719e+08 3.6280084189024234e+08 3.6225109264460105e+08 3.6184972175539947e+08 3.6144042011157197e+08 3.6102105297378391e+08 3.6058115534009051e+08 3.6012715854481393e+08 3.5964327728417814e+08 3.5916015016412389e+08 3.5861381619809788e+08 3.5802917475479710e+08 3.5739548087390125e+08 3.5670434444584042e+08 3.5594556943542218e+08 3.5510767025526822e+08 3.5417128368138748e+08 3.5315263320359802e+08 3.5199291119850683e+08 3.5069274807890487e+08 3.4923328921481085e+08 3.4759424309137106e+08 3.4575468482324171e+08 3.4369362482974380e+08 3.4138509321093017e+08 3.3884602371536893e+08 3.3601255444652408e+08 3.3290269834426904e+08 3.2952364682165724e+08 3.2590190037281495e+08 3.2208254593468893e+08 3.1815139992825711e+08 3.1423362868842131e+08 3.1055107219186825e+08 3.0734894500227803e+08 3.0504674150094146e+08 3.0421572733847326e+08 3.0569463046619242e+08 3.1069564614959991e+08 3.2105622389973396e+08 3.3968333126329988e+08 3.7149919901892734e+08 3.3314896277913368e+08 +3.8808936312104771e+00 1.4646824580344861e+07 1.4655200835459666e+07 1.4668368738886675e+07 1.4687202217626236e+07 1.4710201326602757e+07 1.4733369496278211e+07 1.4754309358413721e+07 1.4776508086745923e+07 1.4804476351713235e+07 1.4840412932785336e+07 1.4885333972382190e+07 1.4940664535258861e+07 1.5008264901319565e+07 1.5090282064971928e+07 1.5189140237575751e+07 1.5307695649482856e+07 1.5449413672979549e+07 1.5618424074104331e+07 1.5819601467549337e+07 1.6058683237825252e+07 1.6342418463270687e+07 1.6678823538990781e+07 1.7078575112795696e+07 1.7559880999644540e+07 1.8145172863207527e+07 1.8847275660733722e+07 1.9678297614165165e+07 2.0657858238097239e+07 2.1810980697841056e+07 2.3167087615972053e+07 2.4760354454712689e+07 2.6630349185044553e+07 2.8822753638444100e+07 3.1390132620978478e+07 3.4392723177720167e+07 3.7899195637704179e+07 4.1987320752552018e+07 4.6744428018517181e+07 5.2267500281276695e+07 5.8662650950949334e+07 6.6636192301585458e+07 7.5895233508395419e+07 8.6586440850428358e+07 9.8844969600358292e+07 1.1277847370518658e+08 1.2844552091023472e+08 1.4582896096560276e+08 1.6480681351310611e+08 1.8512636849176025e+08 2.0638721267078602e+08 2.2803820201506007e+08 2.4944668746792868e+08 2.6996665883391595e+08 2.8894834348969835e+08 3.0588501546097910e+08 3.2046875232054365e+08 3.3259319559766787e+08 3.4234346397825193e+08 3.4993305621259040e+08 3.5568047853662807e+08 3.5989674677624089e+08 3.6291237721696222e+08 3.6498258382418334e+08 3.6636444174036080e+08 3.6722596002527249e+08 3.6770132597036785e+08 3.6791440591074133e+08 3.6792223149039972e+08 3.6776615064172101e+08 3.6749681462484342e+08 3.6711359901269639e+08 3.6666095643745309e+08 3.6615117944911259e+08 3.6561711551240474e+08 3.6506866289730841e+08 3.6450079855008495e+08 3.6394172020747375e+08 3.6339839059509337e+08 3.6284763179481149e+08 3.6244557592557043e+08 3.6203559229745394e+08 3.6161553345841044e+08 3.6117491290302420e+08 3.6072017081599063e+08 3.6023550591332006e+08 3.5975155429481673e+08 3.5920432332355756e+08 3.5861872178363496e+08 3.5798398701991290e+08 3.5729171510431755e+08 3.5653169321146154e+08 3.5569241683818126e+08 3.5475450133890885e+08 3.5373414497980100e+08 3.5257251586819142e+08 3.5127021436051834e+08 3.4980835477655482e+08 3.4816661218571061e+08 3.4632402724152941e+08 3.4425957579944110e+08 3.4194725527605546e+08 3.3940397733517444e+08 3.3656584477892029e+08 3.3345087023515433e+08 3.3006625696027410e+08 3.2643854907812279e+08 3.2261290776471055e+08 3.1867529075325251e+08 3.1475107975795203e+08 3.1106243416453421e+08 3.0785503649705231e+08 3.0554904433361983e+08 3.0471667301458108e+08 3.0619801371605682e+08 3.1120726208440584e+08 3.2158489794439125e+08 3.4024268944234544e+08 3.7211090912129915e+08 3.3273937691258544e+08 +3.8858619539847354e+00 1.6079361685764045e+07 1.6087567747011455e+07 1.6100456436108440e+07 1.6118935529736442e+07 1.6141602609909931e+07 1.6164607315000167e+07 1.6185614741637204e+07 1.6208003234492976e+07 1.6236176367102303e+07 1.6272315083889438e+07 1.6317452463479279e+07 1.6373018972170768e+07 1.6440876435326397e+07 1.6523175948937207e+07 1.6622347657687254e+07 1.6741253865908971e+07 1.6883367549105924e+07 1.7052828279953707e+07 1.7254522337671790e+07 1.7494200486323442e+07 1.7778627286108173e+07 1.8115836682393383e+07 1.8516524664524991e+07 1.8998930954595733e+07 1.9585549185112823e+07 2.0289243625616372e+07 2.1122136111328389e+07 2.2103877632426832e+07 2.3259536569177970e+07 2.4618587144707546e+07 2.6215261342207417e+07 2.8089187739050787e+07 3.0286111587247465e+07 3.2858661825285964e+07 3.5867137166335382e+07 3.9380262155583538e+07 4.3475847402289100e+07 4.8241238116386697e+07 5.3773395706976622e+07 6.0178357501670763e+07 6.8163073386876687e+07 7.7433625560914069e+07 8.8136173765653685e+07 1.0040513652475707e+08 1.1434715850739413e+08 1.3001950239402458e+08 1.4740343356288603e+08 1.6637518922970754e+08 1.8668024862298313e+08 2.0791661368160465e+08 2.2953211866657916e+08 2.5089395534151033e+08 2.7135701962611467e+08 2.9027352245737529e+08 3.0713949286453295e+08 3.2165015957404399e+08 3.3370217792873400e+08 3.4338317746274155e+08 3.5090844241537464e+08 3.5659751469843704e+08 3.6076181540151304e+08 3.6373180265394437e+08 3.6576234864137119e+08 3.6711003623165697e+08 3.6794233381488734e+08 3.6839289650190008e+08 3.6858508953832781e+08 3.6857550912010914e+08 3.6840508556943226e+08 3.6812411217256284e+08 3.6773164341081470e+08 3.6727180345381188e+08 3.6675658767361921e+08 3.6621854235360879e+08 3.6566723298179275e+08 3.6509734264401263e+08 3.6453678526842839e+08 3.6399229533102608e+08 3.6344053277768463e+08 3.6303779602370042e+08 3.6262713454353970e+08 3.6220638821810013e+08 3.6176504915486825e+08 3.6130956632959139e+08 3.6082412260922730e+08 3.6033935142180037e+08 3.5979122892486799e+08 3.5920467315296322e+08 3.5856890386343634e+08 3.5787550339447325e+08 3.5711424223256171e+08 3.5627359707429773e+08 3.5533416201907611e+08 3.5431211008514643e+08 3.5314858550668967e+08 3.5184415866197556e+08 3.5037991300834191e+08 3.4873549040414172e+08 3.4688989725215608e+08 3.4482207505346352e+08 3.4250598877704698e+08 3.3995852796371365e+08 3.3711576056937492e+08 3.3399569880977803e+08 3.3060555771204722e+08 3.2697192476328725e+08 3.2314003492568612e+08 3.1919598638326550e+08 3.1526537494804329e+08 3.1157067730865437e+08 3.0835804131588382e+08 3.0604828360496169e+08 3.0521456344555748e+08 3.0669832686179930e+08 3.1171575769637448e+08 3.2211034762104183e+08 3.4079863615101779e+08 3.7271888832899356e+08 3.3232883708684832e+08 +3.8908302767589937e+00 1.7512344990405623e+07 1.7520381178889301e+07 1.7532990879666489e+07 1.7551115691079210e+07 1.7573450659531746e+07 1.7596291694633305e+07 1.7617366302067805e+07 1.7639944038609091e+07 1.7668321416210145e+07 1.7704661527444389e+07 1.7750014356508005e+07 1.7805815744124379e+07 1.7873929031004943e+07 1.7956509378108855e+07 1.8055992820539441e+07 1.8175247687590424e+07 1.8317754497199204e+07 1.8487662555962309e+07 1.8689869721888144e+07 1.8930140037287027e+07 1.9215253425201990e+07 1.9553261240506891e+07 1.9954878629760336e+07 2.0438376909814075e+07 2.1026311273170270e+07 2.1731585058666956e+07 2.2566333504203163e+07 2.3550238728263211e+07 2.4708413875701502e+07 2.6070384236836441e+07 2.7670437692118775e+07 2.9548262697684422e+07 3.1749667078621075e+07 3.4327342921716161e+07 3.7341649468180925e+07 4.0861364165091693e+07 4.4964335972915068e+07 4.9737924102388114e+07 5.5279066600696743e+07 6.1693722582950398e+07 6.9689466313000515e+07 7.8971358048352182e+07 8.9685048053956091e+07 1.0196421551546971e+08 1.1591449405300207e+08 1.3159184097741151e+08 1.4897593927299541e+08 1.6794124886341581e+08 1.8823144725817683e+08 2.0944296462015814e+08 2.3102262993287534e+08 2.5233749357282045e+08 2.7274337394970298e+08 2.9159447787349212e+08 3.0838959518036574e+08 3.2282710422740710e+08 3.3480666662180507e+08 3.4441841129791135e+08 3.5187939532890552e+08 3.5751018434530139e+08 3.6162259499578893e+08 3.6454701984851021e+08 3.6653798442900753e+08 3.6785157605731809e+08 3.6865472079307687e+08 3.6908054079689330e+08 3.6925189993499821e+08 3.6922495921104908e+08 3.6904023185413790e+08 3.6874765362812543e+08 3.6834595865183985e+08 3.6787894318683058e+08 3.6735830611375272e+08 3.6681629313562417e+08 3.6626213778827208e+08 3.6569023011273980e+08 3.6512820083371282e+08 3.6458255675285518e+08 3.6402979624764532e+08 3.6362638270411181e+08 3.6321504750343525e+08 3.6279361790521961e+08 3.6235156474759459e+08 3.6189534573636377e+08 3.6140912802174246e+08 3.6092354219435132e+08 3.6037453365047741e+08 3.5978702950980932e+08 3.5915023205066663e+08 3.5845570996122539e+08 3.5769321714243585e+08 3.5685121160558200e+08 3.5591026636170101e+08 3.5488652915750951e+08 3.5372112075028646e+08 3.5241458161683786e+08 3.5094796454122514e+08 3.4930087837503123e+08 3.4745229547964227e+08 3.4538112321365905e+08 3.4306129433042777e+08 3.4050967621338546e+08 3.3766230242587101e+08 3.3453718467024660e+08 3.3114154967241997e+08 3.2750202801693064e+08 3.2366392799998134e+08 3.1971348739370435e+08 3.1577651482653069e+08 3.1207580218594134e+08 3.0885796001477122e+08 3.0654445986715025e+08 3.0570939918132633e+08 3.0719557045605367e+08 3.1222113354708683e+08 3.2263257351015323e+08 3.4135117200324327e+08 3.7332313731387335e+08 3.3191735133814794e+08 +3.8957985995332520e+00 1.8945749503351096e+07 1.8953615721219461e+07 1.8965946453255631e+07 1.8983717014505737e+07 1.9005719847023211e+07 1.9028396996088773e+07 1.9049538401885550e+07 1.9072304859524544e+07 1.9100885856254082e+07 1.9137426617766827e+07 1.9182994002798606e+07 1.9239029199134424e+07 1.9307397032765850e+07 1.9390256692887064e+07 1.9490050062050950e+07 1.9609651445381150e+07 1.9752548842337422e+07 1.9922901220658071e+07 2.0125617931166042e+07 2.0366476192949761e+07 2.0652271172711425e+07 2.0991071493672058e+07 2.1393611275210109e+07 2.1878193115983967e+07 2.2467433358835887e+07 2.3174274168405343e+07 2.4010863974654771e+07 2.4996915676569548e+07 2.6157586732880291e+07 2.7522452967188098e+07 2.9125857533035573e+07 3.1007548037221946e+07 3.3213394030389849e+07 3.5796149763179816e+07 3.8816233865402959e+07 4.2342475372657500e+07 4.6452760091758765e+07 5.1234459524386749e+07 5.6784486435094647e+07 6.3208719602848418e+07 7.1215344441264689e+07 8.0508404325392276e+07 9.1233037125481293e+07 1.0352218013065973e+08 1.1748045417743774e+08 1.3316251094811104e+08 1.5054645305995405e+08 1.6950496832786557e+08 1.8977994157320529e+08 2.1096624425454605e+08 2.3250971648910254e+08 2.5377728500039405e+08 2.7412570696876526e+08 2.9291119726560503e+08 3.0963531221161902e+08 3.2399957816651696e+08 3.3590665538014185e+08 3.4544916071061581e+08 3.5284591141596901e+08 3.5841848491831130e+08 3.6247908376275611e+08 3.6535802759411520e+08 3.6730949043312061e+08 3.6858906081383818e+08 3.6936312082797897e+08 3.6976425893415970e+08 3.6991483734614682e+08 3.6987058213723892e+08 3.6967158997089821e+08 3.6936743954356819e+08 3.6895654534689593e+08 3.6848237629031694e+08 3.6795633545246828e+08 3.6741036856050122e+08 3.6685337803063774e+08 3.6627946167722154e+08 3.6571596762633926e+08 3.6516917558408797e+08 3.6461542292760980e+08 3.6421133668910521e+08 3.6379933189869082e+08 3.6337722324087560e+08 3.6293446040091103e+08 3.6247750975544930e+08 3.6199052286886203e+08 3.6150412732949728e+08 3.6095423821638882e+08 3.6036579156937599e+08 3.5972797229522943e+08 3.5903233551659960e+08 3.5826861865123409e+08 3.5742526114092702e+08 3.5648281507400179e+08 3.5545740290298003e+08 3.5429012230254018e+08 3.5298148392568523e+08 3.5151251007289249e+08 3.4986277679257113e+08 3.4801122261443675e+08 3.4593672096551836e+08 3.4361317261791158e+08 3.4105742276088858e+08 3.3820547101888758e+08 3.3507532848101586e+08 3.3167423349943614e+08 3.2802885949013638e+08 3.2418458763052320e+08 3.2022779441984558e+08 3.1628450002102828e+08 3.1257780941653496e+08 3.0935479320705533e+08 3.0703757372863424e+08 3.0620118082885730e+08 3.0768974510889912e+08 3.1272339025632530e+08 3.2315157625256056e+08 3.4190029767692727e+08 3.7392365681774467e+08 3.3150492768201464e+08 +3.9007669223075103e+00 2.0379549191821806e+07 2.0387245534327786e+07 2.0399297362586994e+07 2.0416713837368976e+07 2.0438384570431694e+07 2.0460897636841655e+07 2.0482105457522590e+07 2.0505060111575413e+07 2.0533844098305028e+07 2.0570584763057888e+07 2.0616365807609841e+07 2.0672633739230406e+07 2.0741254839134131e+07 2.0824392287759185e+07 2.0924493772275422e+07 2.1044439524355009e+07 2.1187724963965885e+07 2.1358518646995157e+07 2.1561741331054915e+07 2.1803183310297877e+07 2.2089654875680123e+07 2.2429241777422085e+07 2.2832696922981586e+07 2.3318353879490279e+07 2.3908889729616560e+07 2.4617285219912801e+07 2.5455701761546578e+07 2.6443882685982112e+07 2.7607029314583182e+07 2.8974767469825454e+07 3.0581494953768253e+07 3.2467017795410808e+07 3.4677266423143521e+07 3.7265056267065741e+07 4.0290864206575997e+07 4.3823569553174190e+07 4.7941093457279049e+07 5.2730818004459932e+07 5.8289628760152929e+07 6.4723322050588816e+07 7.2740681219285220e+07 8.2044737838307664e+07 9.2780114488584176e+07 1.0507900403299159e+08 1.1904501282834943e+08 1.3473148671351400e+08 1.5211495001583359e+08 1.7106632367267811e+08 1.9132570888729477e+08 2.1248643150236252e+08 2.3399335916299886e+08 2.5521331261724791e+08 2.7550400399911702e+08 2.9422366830907160e+08 3.1087663390394628e+08 3.2516757341076398e+08 3.3700213803248030e+08 3.4647542104429471e+08 3.5380798724907517e+08 3.5932241396127635e+08 3.6333128000219607e+08 3.6616482477336544e+08 3.6807686598599750e+08 3.6932249017953414e+08 3.7006753386708897e+08 3.7044405107101578e+08 3.7057390209211105e+08 3.7051237834752375e+08 3.7029916046798342e+08 3.6998347054343116e+08 3.6956340417737621e+08 3.6908210348769462e+08 3.6855067644204777e+08 3.6800076940012342e+08 3.6744095449247473e+08 3.6686503812569284e+08 3.6630008643753248e+08 3.6575215261669624e+08 3.6519741360933727e+08 3.6479265876924783e+08 3.6437998851846606e+08 3.6395720501385087e+08 3.6351373690297830e+08 3.6305605917367268e+08 3.6256830793672061e+08 3.6208110761239141e+08 3.6153034340646195e+08 3.6094096011397868e+08 3.6030212537813038e+08 3.5960538084010744e+08 3.5884044753718263e+08 3.5799574645637918e+08 3.5705180892973077e+08 3.5602473209242827e+08 3.5485559093198806e+08 3.5354486635465384e+08 3.5207355036667502e+08 3.5042118641615081e+08 3.4856667941213065e+08 3.4648886906064260e+08 3.4416162438529825e+08 3.4160176834684628e+08 3.3874526708310688e+08 3.3561013096967536e+08 3.3220360991327178e+08 3.2855241989518517e+08 3.2470201452106684e+08 3.2073890815661252e+08 3.1678933121765226e+08 3.1307669967896384e+08 3.0984854156470519e+08 3.0752762585676324e+08 3.0668990905336881e+08 3.0818085148899823e+08 3.1322252850376099e+08 3.2366735654994428e+08 3.4244601391431141e+08 3.7452044765291494e+08 3.3109157411322170e+08 +3.9057352450817686e+00 2.1813718848091520e+07 2.1821245413975045e+07 2.1833018179547440e+07 2.1850080746142399e+07 2.1871419284190789e+07 2.1893768090733312e+07 2.1915041940073393e+07 2.1938184263649762e+07 2.1967170607855011e+07 2.2004110426063798e+07 2.2050104230729546e+07 2.2106603821017016e+07 2.2175476903182112e+07 2.2258890611902848e+07 2.2359298396033429e+07 2.2479586364412155e+07 2.2623257296411578e+07 2.2794489262981974e+07 2.2998214342237499e+07 2.3240235801628057e+07 2.3527378936640728e+07 2.3867746482942421e+07 2.4272109951120682e+07 2.4758833562972598e+07 2.5350654729695119e+07 2.6060592535336073e+07 2.6900821161361229e+07 2.7891114023359884e+07 2.9056715853591643e+07 3.0427301938684005e+07 3.2037324103990756e+07 3.3926646072031006e+07 3.6141258300817661e+07 3.8734036415733293e+07 4.1765514406980403e+07 4.5304620550667405e+07 4.9429309839428164e+07 5.4226973238943331e+07 5.9794467203732058e+07 6.6237503497238368e+07 7.4265450181168765e+07 8.3580332125291571e+07 9.4326253749258101e+07 1.0663466099026963e+08 1.2060814406601873e+08 1.3629874280190277e+08 1.5368140536144909e+08 1.7262529108441788e+08 1.9286872666315356e+08 2.1400350543038997e+08 2.3547353893528393e+08 2.5664555956993636e+08 2.7687825050983101e+08 2.9553187882792836e+08 3.1211355034432328e+08 3.2633108211360461e+08 3.3809310853204834e+08 3.4749718775984651e+08 3.5476561950857502e+08 3.6022196911974519e+08 3.6417918210944420e+08 3.6696741036010116e+08 3.6884011050525045e+08 3.7005186391626006e+08 3.7076795993756020e+08 3.7111991744128865e+08 3.7122909456862289e+08 3.7115034836352980e+08 3.7092294396504873e+08 3.7059574732300484e+08 3.7016653589472634e+08 3.6967812557145041e+08 3.6914132990393049e+08 3.6858749649452323e+08 3.6802486802473009e+08 3.6744696031540799e+08 3.6688055812687671e+08 3.6633148871034706e+08 3.6577576915169525e+08 3.6537034980319726e+08 3.6495701822115332e+08 3.6453356408072907e+08 3.6408939510932404e+08 3.6363099484574562e+08 3.6314248407813174e+08 3.6265448389506418e+08 3.6210285007136810e+08 3.6151253599307287e+08 3.6087269214710695e+08 3.6017484677839816e+08 3.5940870464477712e+08 3.5856266839436924e+08 3.5761724876909292e+08 3.5658851756447846e+08 3.5541752747413445e+08 3.5410472973600107e+08 3.5263108625055641e+08 3.5097610807017595e+08 3.4911866669342661e+08 3.4703756831437516e+08 3.4470665044269067e+08 3.4214271377528679e+08 3.3928169141568065e+08 3.3614159292595118e+08 3.3272967969562978e+08 3.2907271000513273e+08 3.2521620943627846e+08 3.2124682935914642e+08 3.1729100916217476e+08 3.1357247371008116e+08 3.1033920581667638e+08 3.0801461697466767e+08 3.0717558457628667e+08 3.0866889032093811e+08 3.1371854902618390e+08 3.2417991516406488e+08 3.4298832152166498e+08 3.7511351070050186e+08 3.3067729860572469e+08 +3.9107035678560269e+00 2.3248232733780298e+07 2.3255589561867811e+07 2.3267083648091372e+07 2.3283792113955852e+07 2.3304798543590076e+07 2.3326982885861870e+07 2.3348322375422377e+07 2.3371651839563541e+07 2.3400839905377779e+07 2.3437978124569304e+07 2.3484183787071429e+07 2.3540913956210170e+07 2.3610037733221747e+07 2.3693726169720322e+07 2.3794438433434140e+07 2.3915066460849993e+07 2.4059120329495925e+07 2.4230787552211426e+07 2.4435011441144202e+07 2.4677608135102384e+07 2.4965417814187013e+07 2.5306560057720698e+07 2.5711824794215094e+07 2.6199606585883729e+07 2.6792702760420930e+07 2.7504170494447328e+07 2.8346196528735243e+07 2.9338584014292601e+07 3.0506620642270342e+07 3.1880030627981260e+07 3.3493319194731411e+07 3.5386407029347450e+07 3.7605343771337278e+07 4.0203064257056594e+07 4.3240158449393846e+07 4.6785602278574601e+07 5.0917383080318369e+07 5.5722898999330796e+07 6.1298975472114407e+07 6.7751237596127957e+07 7.5789624947883770e+07 8.5115160817120567e+07 9.5871428612458676e+07 1.0818912487552597e+08 1.2216982206329153e+08 1.3786425386218333e+08 1.5524579444652510e+08 1.7418184688585529e+08 1.9440897250759831e+08 2.1551744525477907e+08 2.3695023693998554e+08 2.5807400915974027e+08 2.7824843212118036e+08 2.9683581679295713e+08 3.1334605176010758e+08 3.2749009656080234e+08 3.3917956095778346e+08 3.4851445643377715e+08 3.5571880498402911e+08 3.6111714814019793e+08 3.6502278857515830e+08 3.6776578341796076e+08 3.6959922349652922e+08 3.7077718186821514e+08 3.7146439914633250e+08 3.7179185835597932e+08 3.7188041524631375e+08 3.7178449278089958e+08 3.7154294115418154e+08 3.7120427064871722e+08 3.7076594132107711e+08 3.7027044340440857e+08 3.6972829672871447e+08 3.6917055075241441e+08 3.6860511954717660e+08 3.6802522917156476e+08 3.6745738362140614e+08 3.6690718479320467e+08 3.6635049048152584e+08 3.6594441071661854e+08 3.6553042193148494e+08 3.6510630136527032e+08 3.6466143594248676e+08 3.6420231769289237e+08 3.6371305221348286e+08 3.6322425709668481e+08 3.6267175912884212e+08 3.6208052012267476e+08 3.6143967351733941e+08 3.6074073424377042e+08 3.5997339088438201e+08 3.5912602786361557e+08 3.5817913549850464e+08 3.5714876022243464e+08 3.5597593282967913e+08 3.5466107496719313e+08 3.5318511861882514e+08 3.5152754264494628e+08 3.4966718534244263e+08 3.4758281960575169e+08 3.4524825166347545e+08 3.4268025991344994e+08 3.3981474487654424e+08 3.3666971520228136e+08 3.3325244369002306e+08 3.2958973065369076e+08 3.2572717319971949e+08 3.2175155884129089e+08 3.1778953465849733e+08 3.1406513230472100e+08 3.1082678674986082e+08 3.0849854786329669e+08 3.0765820817647636e+08 3.0915386238717604e+08 3.1421145261875004e+08 3.2468925291645539e+08 3.4352722136788225e+08 3.7570284691184992e+08 3.3026210911260134e+08 +3.9156718906302852e+00 2.4683065711417139e+07 2.4690252717007760e+07 2.4701468116454460e+07 2.4717822606377881e+07 2.4738496940590903e+07 2.4760516605015386e+07 2.4781921344510373e+07 2.4805437418443155e+07 2.4834826566886332e+07 2.4872162432022013e+07 2.4918579047206741e+07 2.4975538712223928e+07 2.5044911893251978e+07 2.5128873521417111e+07 2.5229888440472979e+07 2.5350854364903700e+07 2.5495288609051276e+07 2.5667388054394137e+07 2.5872107160446327e+07 2.6115274835291062e+07 2.6403746023502145e+07 2.6745657006049518e+07 2.7151815943932209e+07 2.7640647425091170e+07 2.8235008280862495e+07 2.8947993535216156e+07 2.9791802277033206e+07 3.0786267043796804e+07 3.1956718032975901e+07 3.3332927852873400e+07 3.4949454498890758e+07 3.6846274892701589e+07 3.9069497006957173e+07 4.1672113904960915e+07 4.4714770384479940e+07 4.8266488720564745e+07 5.2405287094584391e+07 5.7218569132535644e+07 6.2803127350386404e+07 6.9264498083216295e+07 7.7313179227931619e+07 8.6649197637338042e+07 9.7415612881957889e+07 1.0974236966784056e+08 1.2373002110655750e+08 1.3942799466413483e+08 1.5680809274957362e+08 1.7573596753695565e+08 1.9594642417074907e+08 2.1702823034107023e+08 2.3842343446288818e+08 2.5949864484050110e+08 2.7961453460563982e+08 2.9813547032281703e+08 3.1457412852045339e+08 3.2864460917182064e+08 3.4026148951136082e+08 3.4952722275861531e+08 3.5666754057164913e+08 3.6200794887035787e+08 3.6586209798432261e+08 3.6855994310051966e+08 3.7035420454831111e+08 3.7149844396021307e+08 3.7215685167809427e+08 3.7245987420225030e+08 3.7252786467006034e+08 3.7241481226737082e+08 3.7215915279873741e+08 3.7180904135676044e+08 3.7136162134762591e+08 3.7085905791762006e+08 3.7031157787492132e+08 3.6974993315093637e+08 3.6918171004756457e+08 3.6859984568689477e+08 3.6803056391625124e+08 3.6747924185944927e+08 3.6692157859292442e+08 3.6651484250264210e+08 3.6610020064128321e+08 3.6567541785874921e+08 3.6522986039232808e+08 3.6477002870372546e+08 3.6428001332977873e+08 3.6379042820307982e+08 3.6323707156358254e+08 3.6264491348596436e+08 3.6200307046919501e+08 3.6130304421568269e+08 3.6053450723377895e+08 3.5968582583871859e+08 3.5873747008968031e+08 3.5770546103609145e+08 3.5653080796532679e+08 3.5521390301061654e+08 3.5373564842982322e+08 3.5207549109391212e+08 3.5021223630869132e+08 3.4812462387872130e+08 3.4578642898462367e+08 3.4321440769129443e+08 3.4034442838800436e+08 3.3719449871208370e+08 3.3377190280087978e+08 3.3010348273615456e+08 3.2623490669594496e+08 3.2225309747685373e+08 3.1828490856931341e+08 3.1455467631558925e+08 3.1131128520785409e+08 3.0897941936007941e+08 3.0813778068871254e+08 3.0963576852683783e+08 3.1470124013396013e+08 3.2519537068832630e+08 3.4406271438529724e+08 3.7628845730627602e+08 3.2984601356599319e+08 +3.9206402134045435e+00 2.6118191855643742e+07 2.6125209547049772e+07 2.6136146208234195e+07 2.6152146892768461e+07 2.6172489088511515e+07 2.6194343887479309e+07 2.6215813484004371e+07 2.6239515635321960e+07 2.6269105224468470e+07 2.6306637978028987e+07 2.6353264637924474e+07 2.6410452712726202e+07 2.6480074003583103e+07 2.6564307283516873e+07 2.6665623029525932e+07 2.6786924684282005e+07 2.6931736737532251e+07 2.7104265365962725e+07 2.7309476089692913e+07 2.7553210483798523e+07 2.7842338136933312e+07 2.8185011889581326e+07 2.8592057949500535e+07 2.9081930615345281e+07 2.9677545808446314e+07 3.0392036154332768e+07 3.1237612878866833e+07 3.2234137556712858e+07 3.3406982438679047e+07 3.4785967990007646e+07 3.6405704351821296e+07 3.8306223951090515e+07 4.0533692245055258e+07 4.3141159539935984e+07 4.6189324331290975e+07 4.9747253930819601e+07 5.3892995870053291e+07 5.8713957561587453e+07 6.4306896703015320e+07 7.0777258777765155e+07 7.8836086817909449e+07 8.8182416402812317e+07 9.8958780460969478e+07 1.1129436945211150e+08 1.2528871559544607e+08 1.4098994009914812e+08 1.5836827587845984e+08 1.7728762963432091e+08 1.9748105954678681e+08 2.1853584020368686e+08 2.3989311294351310e+08 2.6091945021988857e+08 2.8097654388647008e+08 2.9943082768230331e+08 3.1579777113326836e+08 3.2979461249715304e+08 3.4133888851896590e+08 3.5053548254163361e+08 3.5761182327632672e+08 3.6289436925749075e+08 3.6669710901664549e+08 3.6934988865035528e+08 3.7110505333565557e+08 3.7221565019978416e+08 3.7284531779716665e+08 3.7312396544350082e+08 3.7317144345910656e+08 3.7304130756316572e+08 3.7277157973331589e+08 3.7241006035413015e+08 3.7195357693517178e+08 3.7144397011059690e+08 3.7089117436985403e+08 3.7032564473393303e+08 3.6975464058034497e+08 3.6917081092164254e+08 3.6860010007280296e+08 3.6804766097160602e+08 3.6748903454707533e+08 3.6708164622157162e+08 3.6666635540924090e+08 3.6624091461818939e+08 3.6579466951500416e+08 3.6533412893308765e+08 3.6484336848041582e+08 3.6435299826667482e+08 3.6379878842589283e+08 3.6320571713154137e+08 3.6256288404989427e+08 3.6186177773886585e+08 3.6109205473514652e+08 3.6024206336017376e+08 3.5929225358029407e+08 3.5825862103966498e+08 3.5708215391145742e+08 3.5576321489351457e+08 3.5428267670671707e+08 3.5261995443558282e+08 3.5075382060478663e+08 3.4866298213987631e+08 3.4632118340602571e+08 3.4374515810149527e+08 3.4087074293444121e+08 3.3771594443068653e+08 3.3428805799336022e+08 3.3061396720667040e+08 3.2673941086820501e+08 3.2275144619702703e+08 3.1877713181476676e+08 3.1504110665236378e+08 3.1179270209122056e+08 3.0945723235846347e+08 3.0861430300400096e+08 3.1011460963530105e+08 3.1518791248225874e+08 3.2569826942019856e+08 3.4459480156895614e+08 3.7687034297216880e+08 3.2942901987704831e+08 +3.9256085361788018e+00 2.7553586525635395e+07 2.7560434294415709e+07 2.7571092687078543e+07 2.7586739683921274e+07 2.7606749659840569e+07 2.7628439428913746e+07 2.7649973487528455e+07 2.7673861181480385e+07 2.7703650566902682e+07 2.7741379448969454e+07 2.7788215242786929e+07 2.7845630638146099e+07 2.7915498741352446e+07 2.8000002129466623e+07 2.8101616869962987e+07 2.8223252083721902e+07 2.8368439374493554e+07 2.8541394140521377e+07 2.8747092875682835e+07 2.8991389719641909e+07 2.9281168784561682e+07 2.9624599327911220e+07 3.0032525418407075e+07 3.0523430749883488e+07 3.1120289919407118e+07 3.1836272907802660e+07 3.2683602866642401e+07 3.3682170058241218e+07 3.4857388333499938e+07 3.6239125477942020e+07 3.7862043151914403e+07 3.9766228557610534e+07 4.1997903788353652e+07 4.4610175409589067e+07 4.7663794477929287e+07 5.1227872034615085e+07 5.5380483468156837e+07 6.0209038285900675e+07 6.5810257474439874e+07 7.2289493582604751e+07 8.0358321602437422e+07 8.9714791024227142e+07 1.0050090535250954e+08 1.1284509842004293e+08 1.2684588004336406e+08 1.4255006517985383e+08 1.5992631957066056e+08 1.7883680991156480e+08 1.9901285667337930e+08 2.2004025450625616e+08 2.4135925397250614e+08 2.6233640905813587e+08 2.8233444603851444e+08 3.0072187728304505e+08 3.1701697024723494e+08 3.3094009921998441e+08 3.4241175243009037e+08 3.5153923170523918e+08 3.5855165020914632e+08 3.6377640734959251e+08 3.6752782044591105e+08 3.7013561939875978e+08 3.7185176961765927e+08 3.7292880067446661e+08 3.7352979784538484e+08 3.7378413261892849e+08 3.7381115230608082e+08 3.7366397948139375e+08 3.7338022286294758e+08 3.7300732861740714e+08 3.7254180911322623e+08 3.7202518105175388e+08 3.7146708730808902e+08 3.7089768661397511e+08 3.7032391226820135e+08 3.6973812600248128e+08 3.6916599322029644e+08 3.6861244325786299e+08 3.6805285947147936e+08 3.6764482299942881e+08 3.6722888736093050e+08 3.6680279276804233e+08 3.6635586443310070e+08 3.6589461950234956e+08 3.6540311878486174e+08 3.6491196840544480e+08 3.6435691083218706e+08 3.6376293217394394e+08 3.6311911537216151e+08 3.6241693592412692e+08 3.6164603449697536e+08 3.6079474153325158e+08 3.5984348707283270e+08 3.5880824133300227e+08 3.5762997176442873e+08 3.5630901170833492e+08 3.5482620453679562e+08 3.5316093375204402e+08 3.5129193930726767e+08 3.4919789545913672e+08 3.4685251599042881e+08 3.4427251219934833e+08 3.4139368956218308e+08 3.3823405339433724e+08 3.3480091029367507e+08 3.3112118508019298e+08 3.2724068671946090e+08 3.2324660599283212e+08 3.1926620537333393e+08 3.1552442428163689e+08 3.1227103835633117e+08 3.0993198780827707e+08 3.0908777606970322e+08 3.1059038666427737e+08 3.1567147063068622e+08 3.2619795011156321e+08 3.4512348397588724e+08 3.7744850506699681e+08 3.2901113593586361e+08 +3.9305768589530601e+00 2.8989223982688446e+07 2.8995902480127495e+07 2.9006282262142524e+07 2.9021575566969160e+07 2.9041253393269695e+07 2.9062777979851358e+07 2.9084376106915597e+07 2.9108448805174075e+07 2.9138437340102538e+07 2.9176361588523403e+07 2.9223405602657326e+07 2.9281047226272017e+07 2.9351160841069009e+07 2.9435932790098816e+07 2.9537844688647393e+07 2.9659811285567433e+07 2.9805371237149943e+07 2.9978749089545179e+07 3.0184932223248892e+07 3.0429787239979744e+07 3.0720212654635005e+07 3.1064393999048419e+07 3.1473193016761344e+07 3.1965122480945598e+07 3.2563215249314755e+07 3.3280678411403492e+07 3.4129746833113976e+07 3.5130339114643790e+07 3.6307910253206104e+07 3.7692374817770436e+07 3.9318445360953681e+07 4.1226263130052097e+07 4.3462106005758464e+07 4.6079135829115532e+07 4.9138155081838131e+07 5.2708317228941284e+07 5.6867724024355285e+07 6.1703785382022016e+07 6.7313183689240888e+07 7.3801176484837964e+07 8.1879857555268541e+07 9.1246295506424829e+07 1.0204196165978003e+08 1.1439453087008186e+08 1.2840148907813671e+08 1.4410834504073089e+08 1.6148219969284341e+08 1.8038348523936987e+08 2.0054179373238268e+08 2.2154145306151083e+08 2.4282183929335243e+08 2.6374950526878560e+08 2.8368822728680563e+08 3.0200860768247157e+08 3.1823171664980769e+08 3.3208106215381759e+08 3.4348007581595159e+08 3.5253846628592497e+08 3.5948701858746111e+08 3.6465406129407513e+08 3.6835423113908505e+08 3.7091713476572895e+08 3.7259435323715156e+08 3.7363789555319208e+08 3.7421029224280101e+08 3.7444037634304053e+08 3.7444699197754472e+08 3.7428282890629923e+08 3.7398508316403985e+08 3.7360084719255227e+08 3.7312631897975391e+08 3.7260269187745345e+08 3.7203931785193402e+08 3.7146605997006965e+08 3.7088952629989523e+08 3.7030179212356716e+08 3.6972824455334753e+08 3.6917358991352260e+08 3.6861305455963171e+08 3.6820437402906477e+08 3.6778779768751460e+08 3.6736105349779427e+08 3.6691344633519942e+08 3.6645150159818763e+08 3.6595926542885631e+08 3.6546733980342460e+08 3.6491143996500802e+08 3.6431655979357630e+08 3.6367176561415762e+08 3.6296851994691133e+08 3.6219644769179606e+08 3.6134386152862501e+08 3.6039117173446316e+08 3.5935432307999998e+08 3.5817426268436658e+08 3.5685129461055756e+08 3.5536623307112765e+08 3.5369843018903136e+08 3.5182659355565751e+08 3.4972936496918732e+08 3.4738042786319280e+08 3.4479647110142785e+08 3.4191326937843919e+08 3.3874882670088500e+08 3.3531046078776437e+08 3.3162513743061936e+08 3.2773873531111759e+08 3.2373857791295117e+08 3.1975213028062916e+08 3.1600463022749645e+08 3.1274629501688641e+08 3.1040368671515685e+08 3.0955820088820529e+08 3.1106310062136030e+08 3.1615191560341853e+08 3.2669441382087445e+08 3.4564876272637618e+08 3.7802294481447697e+08 3.2859236961142844e+08 +3.9355451817273184e+00 3.0425078916267306e+07 3.0431588266662888e+07 3.0441689597024288e+07 3.0456629488108024e+07 3.0475975109972537e+07 3.0497334346780524e+07 3.0518996152716998e+07 3.0543253312245622e+07 3.0573440347770713e+07 3.0611559198130623e+07 3.0658810516270962e+07 3.0716677272752605e+07 3.0787035095136616e+07 3.0872074054263134e+07 3.0974281270445235e+07 3.1096577070240352e+07 3.1242507100942194e+07 3.1416304982803993e+07 3.1622968895602070e+07 3.1868377800543647e+07 3.2159444494242974e+07 3.2504370640014108e+07 3.2914035469938282e+07 3.3406980520329043e+07 3.4006296493666761e+07 3.4725227341280423e+07 3.5576019431881130e+07 3.6578619353588752e+07 3.7758522795821980e+07 3.9145690573685065e+07 4.0774885504893236e+07 4.2686302151386388e+07 4.4926273332600094e+07 4.7548015181846164e+07 5.0612380470534444e+07 5.4188563782859437e+07 5.8354691748793013e+07 6.3198173003872953e+07 6.8815649452878416e+07 7.5312281555965900e+07 8.3400668739360511e+07 9.2776903948609620e+07 1.0358192358645511e+08 1.1594264120775457e+08 1.2995551744179273e+08 1.4566475493840161e+08 1.6303589224175072e+08 1.8192763262595832e+08 2.0206784904910889e+08 2.2303941583114365e+08 2.4428085080146953e+08 2.6515872291771859e+08 2.8503787400692147e+08 3.0329100758377767e+08 3.1944200126757431e+08 3.3321749424396372e+08 3.4454385337110806e+08 3.5353318243388855e+08 3.6041792573488182e+08 3.6552732933674836e+08 3.6917634005602962e+08 3.7169443425917584e+08 3.7333280412187564e+08 3.7434293508490789e+08 3.7488680148620421e+08 3.7509269730484265e+08 3.7507896331251192e+08 3.7489785679346639e+08 3.7458616168228048e+08 3.7419061719438612e+08 3.7370710770174521e+08 3.7317650379101300e+08 3.7260786723078144e+08 3.7203076604778916e+08 3.7145148393083584e+08 3.7086181054417723e+08 3.7028685533363205e+08 3.6973110219979107e+08 3.6916962107163334e+08 3.6876030056904036e+08 3.6834308764622128e+08 3.6791569806338722e+08 3.6746741647546804e+08 3.6700477647323996e+08 3.6651180966269088e+08 3.6601911370974553e+08 3.6546237707122415e+08 3.6486660123577982e+08 3.6422083601829547e+08 3.6351653104804361e+08 3.6274329555824679e+08 3.6188942458106494e+08 3.6093530879717100e+08 3.5989686750920039e+08 3.5871502789545542e+08 3.5739006482017511e+08 3.5590276352443957e+08 3.5423244495524091e+08 3.5235778455269861e+08 3.5025739186585218e+08 3.4790492021136051e+08 3.4531703598645687e+08 3.4242948355209517e+08 3.3926026550762755e+08 3.3581671062169576e+08 3.3212582539171088e+08 3.2823355776335740e+08 3.2422736306377393e+08 3.2023490762920225e+08 3.1648172556990796e+08 3.1321847314159924e+08 3.1087233013978118e+08 3.1002557851789367e+08 3.1153275256950295e+08 3.1662924848104972e+08 3.2718766166454953e+08 3.4617063900134754e+08 3.7859366350747633e+08 3.2817272875157100e+08 +3.9405135045015767e+00 3.1861126639063235e+07 3.1867466346292317e+07 3.1877289953481682e+07 3.1891876265021000e+07 3.1910889705533188e+07 3.1932083396091320e+07 3.1953808494113948e+07 3.1978249566837419e+07 3.2008634451949045e+07 3.2046947137686890e+07 3.2094404840734847e+07 3.2152495631676413e+07 3.2223096354429856e+07 3.2308400769269664e+07 3.2410901458860252e+07 3.2533524276832052e+07 3.2679821800011136e+07 3.2854036648835886e+07 3.3061177714955050e+07 3.3307136216209281e+07 3.3598839109748058e+07 3.3944504047320321e+07 3.4355027563101664e+07 3.4848979639861152e+07 3.5449508408432573e+07 3.6169894434437707e+07 3.7022395377966620e+07 3.8026985464707598e+07 3.9209200621971689e+07 4.0599047373381190e+07 4.2231338174146406e+07 4.4146320170280695e+07 4.6390380271368496e+07 4.9016787919782259e+07 5.2086445041995622e+07 5.5668586037981845e+07 5.9841360926691078e+07 6.4692175383462578e+07 7.0317628952082381e+07 7.6822782952745065e+07 8.4920729307184353e+07 9.4306590545204937e+07 1.0512076543729575e+08 1.1748940394648351e+08 1.3150793999095255e+08 1.4721927025172198e+08 1.6458737334401929e+08 1.8346922921647719e+08 2.0359100109277755e+08 2.2453412292556292e+08 2.4573627054395062e+08 2.6656404622301015e+08 2.8638337272458547e+08 3.0456906583514601e+08 3.2064781516513461e+08 3.3434938856531858e+08 3.4560307991120368e+08 3.5452337641308463e+08 3.6134436908094186e+08 3.6639620982300609e+08 3.6999414624976474e+08 3.7246751747435468e+08 3.7406712228200167e+08 3.7504391959810418e+08 3.7555932614950722e+08 3.7574109626883906e+08 3.7570706722317576e+08 3.7550906417018425e+08 3.7518345953349078e+08 3.7477663980685419e+08 3.7428417651322794e+08 3.7374661806366950e+08 3.7317273674069721e+08 3.7259180615987569e+08 3.7200978648285997e+08 3.7141818259090960e+08 3.7084182688839227e+08 3.7028498144282693e+08 3.6972256033269942e+08 3.6931260394318765e+08 3.6889475855940986e+08 3.6846672778574651e+08 3.6801777617293739e+08 3.6755444544539845e+08 3.6706075280280024e+08 3.6656729143888313e+08 3.6600972346311879e+08 3.6541305781013536e+08 3.6476632789334702e+08 3.6406097053245336e+08 3.6328657939868885e+08 3.6243143199015206e+08 3.6147589955650473e+08 3.6043587591272575e+08 3.5925226868602884e+08 3.5792532362035722e+08 3.5643579717458946e+08 3.5476297932307607e+08 3.5288551356328732e+08 3.5078197740645432e+08 3.4842599428405619e+08 3.4583420809454811e+08 3.4294233331293571e+08 3.3976837103310579e+08 3.3631966100165176e+08 3.3262325015587795e+08 3.2872515525477153e+08 3.2471296260921067e+08 3.2071453856941926e+08 3.1695571144526225e+08 3.1368757385522026e+08 3.1133791919891816e+08 3.1048991007172018e+08 3.1199934362759602e+08 3.1710347040048629e+08 3.2767769481746829e+08 3.4668911404372883e+08 3.7916066250524521e+08 3.2775222118290347e+08 +3.9454818272758350e+00 3.3297341979362465e+07 3.3303512877726685e+07 3.3313057821614012e+07 3.3327290850087948e+07 3.3345972083065480e+07 3.3367000056097306e+07 3.3388788058102783e+07 3.3413412492105771e+07 3.3443994573481586e+07 3.3482500325811330e+07 3.3530163492015857e+07 3.3588477216041610e+07 3.3659319528789908e+07 3.3744887841490395e+07 3.3847680156454541e+07 3.3970627803608574e+07 3.4117290227815636e+07 3.4291918975639008e+07 3.4499533562988579e+07 3.4746037361490525e+07 3.5038371367315039e+07 3.5384769077582993e+07 3.5796144141695678e+07 3.6291094672027700e+07 3.6892825810513504e+07 3.7614654489289902e+07 3.8468849448253259e+07 3.9475412200283162e+07 4.0659918455653623e+07 4.2052419908631593e+07 4.3687778024196066e+07 4.5606291801681980e+07 4.7854401392044380e+07 5.0485428564033516e+07 5.3560323265164636e+07 5.7148358409122601e+07 6.1327705918861128e+07 6.6185766831119686e+07 7.1819096455321446e+07 7.8332654917210668e+07 8.6440013501478031e+07 9.5835329586021483e+07 1.0665846161827825e+08 1.1903479370721659e+08 1.3305873169747329e+08 1.4877186648217505e+08 1.6613661925631070e+08 1.8500825229378092e+08 2.0511122847666210e+08 2.2602555460407346e+08 2.4718808071983829e+08 2.6796545955455580e+08 2.8772471011458582e+08 3.0584277142969012e+08 3.2184914954523891e+08 3.3547673832297683e+08 3.4665775037310028e+08 3.5550904459954250e+08 3.6226634615939701e+08 3.6726070119562709e+08 3.7080764886487377e+08 3.7323638409380805e+08 3.7479730781074178e+08 3.7574084950138253e+08 3.7622786688387722e+08 3.7638557407325292e+08 3.7633130469338143e+08 3.7611645213384616e+08 3.7577697790297604e+08 3.7535891628246725e+08 3.7485752671628940e+08 3.7431303603344536e+08 3.7373392774431252e+08 3.7314918168438768e+08 3.7256443534354013e+08 3.7197090965512055e+08 3.7139316060991389e+08 3.7083522903535044e+08 3.7027187373345691e+08 3.6986128554078043e+08 3.6944281181505525e+08 3.6901414405115896e+08 3.6856452681253237e+08 3.6810050989698279e+08 3.6760609622902679e+08 3.6711187436962277e+08 3.6655348051788855e+08 3.6595593089194810e+08 3.6530824261097634e+08 3.6460183977005726e+08 3.6382630057940775e+08 3.6296988511904204e+08 3.6201294537252760e+08 3.6097134964645565e+08 3.5978598640741372e+08 3.5845707235744601e+08 3.5696533536230004e+08 3.5529003462689918e+08 3.5340978191508824e+08 3.5130312291055232e+08 3.4894365139201099e+08 3.4634798872658229e+08 3.4345181995099068e+08 3.4027314455538052e+08 3.3681931319236493e+08 3.3311741297463900e+08 3.2921352902238929e+08 3.2519537777111566e+08 3.2119102430695504e+08 3.1742658904625547e+08 3.1415359833774877e+08 3.1180045506326455e+08 3.1095119671778351e+08 3.1246287496914601e+08 3.1757458255456245e+08 3.2816451451200825e+08 3.4720418915773195e+08 3.7972394323425889e+08 3.2733085471076822e+08 +3.9504501500500933e+00 3.4733699886861682e+07 3.4739701019024424e+07 3.4748968069802791e+07 3.4762848215185046e+07 3.4781197215590112e+07 3.4802059315085001e+07 3.4823909829865023e+07 3.4848717070773698e+07 3.4879495692617141e+07 3.4918193740618944e+07 3.4966061445525520e+07 3.5024596998272292e+07 3.5095679587530561e+07 3.5181510236839257e+07 3.5284592325415239e+07 3.5407862608547449e+07 3.5554887337602533e+07 3.5729926911085024e+07 3.5938011381491795e+07 3.6185056171072938e+07 3.6478016193584718e+07 3.6825140647920139e+07 3.7237360112011917e+07 3.7733300510343440e+07 3.8336223578275353e+07 3.9059482366173044e+07 3.9915356482117921e+07 4.0923874375503361e+07 4.2110651084541328e+07 4.3505782935866632e+07 4.5144179776136667e+07 4.7066191727166876e+07 4.9318311332700707e+07 5.1953911705346510e+07 5.5033989680421457e+07 5.8627855384660900e+07 6.2813701162189737e+07 6.7678921736107171e+07 7.3320026313156784e+07 7.9841871777591467e+07 8.7958495655546308e+07 9.7363095456521079e+07 1.0819498663707930e+08 1.2057878521924756e+08 1.3460786764856112e+08 1.5032251925377625e+08 1.6768360636586124e+08 1.8654467927817005e+08 2.0662850995782414e+08 2.2751369127498612e+08 2.4863626367946085e+08 2.6936294743475628e+08 2.8906187300213617e+08 3.0711211350489169e+08 3.2304599574847597e+08 3.3659953685155731e+08 3.4770785981523973e+08 3.5649018348307461e+08 3.6318385460920340e+08 3.6812080199503607e+08 3.7161684713831317e+08 3.7400103388733000e+08 3.7552336088410550e+08 3.7643372528162926e+08 3.7689242441580635e+08 3.7702613163029081e+08 3.7695167677970845e+08 3.7672002185254025e+08 3.7636671804527116e+08 3.7593744794115281e+08 3.7542715968008852e+08 3.7487575910474223e+08 3.7429144167038333e+08 3.7370289406576681e+08 3.7311543196540636e+08 3.7251999319322717e+08 3.7194085795627505e+08 3.7138184643432796e+08 3.7081756272930747e+08 3.7040634681580871e+08 3.6998724886509180e+08 3.6955794831014168e+08 3.6910766984308428e+08 3.6864297127540833e+08 3.6814784138717252e+08 3.6765286394525999e+08 3.6709364967634189e+08 3.6649522191966677e+08 3.6584658160730076e+08 3.6513914019414109e+08 3.6436246053128630e+08 3.6350478539491749e+08 3.6254644766805011e+08 3.6150329012981993e+08 3.6031618247420329e+08 3.5898531244115990e+08 3.5749137949104613e+08 3.5581361226352018e+08 3.5393059099783874e+08 3.5182082975911438e+08 3.4945789290695155e+08 3.4685837924405760e+08 3.4395794481630158e+08 3.4077458741233802e+08 3.3731566851855010e+08 3.3360831515737695e+08 3.2969868035986733e+08 3.2567460982793862e+08 3.2166436610512489e+08 3.1789435962042296e+08 3.1461654782460749e+08 3.1225993895879996e+08 3.1140943967832470e+08 3.1292334782245922e+08 3.1804258619166028e+08 3.2864812203880274e+08 3.4771586570791984e+08 3.8028350718753833e+08 3.2690863711918700e+08 +3.9554184728243516e+00 3.6170174862673335e+07 3.6176007162886910e+07 3.6184996262874193e+07 3.6198523109726623e+07 3.6216540198429592e+07 3.6237236220035806e+07 3.6259148853386804e+07 3.6284138345661223e+07 3.6315112849558331e+07 3.6354002420039117e+07 3.6402073736589402e+07 3.6460830010837816e+07 3.6532151560025901e+07 3.6618242981292553e+07 3.6721612988076061e+07 3.6845203709803797e+07 3.6992588142892428e+07 3.7168035463485554e+07 3.7376586172656611e+07 3.7624167640349813e+07 3.7917748575931057e+07 3.8265593736599080e+07 3.8678650441583611e+07 3.9175572110045642e+07 3.9779676652145073e+07 4.0504352987844929e+07 4.1361891381918006e+07 4.2372346869197227e+07 4.3561373360561706e+07 4.4959111276483029e+07 4.6600518217110932e+07 4.8525994695635565e+07 5.0782084800014429e+07 5.3422212004662111e+07 5.6507418900169894e+07 6.0107051527084634e+07 6.4299321170047984e+07 6.9171614567042947e+07 7.4820392958947048e+07 8.1350407948166683e+07 8.9476150193575174e+07 9.8889862638451800e+07 1.0973031510351077e+08 1.2212135332047518e+08 1.3615532304701117e+08 1.5187120431366608e+08 1.6922831119002113e+08 1.8807848772736490e+08 2.0814282443714097e+08 2.2899851349466410e+08 2.5008080192459196e+08 2.7075649453677207e+08 2.9039484836005747e+08 3.0837708134246767e+08 3.2423834525218695e+08 3.3771777761366403e+08 3.4875340341547143e+08 3.5746678966339600e+08 3.6409689217346960e+08 3.6897651085977095e+08 3.7242174039774668e+08 3.7476146671029067e+08 3.7624528176039881e+08 3.7712254750555700e+08 3.7755299954838836e+08 3.7766276992504668e+08 3.7756818460995048e+08 3.7731977456430191e+08 3.7695268128285939e+08 3.7651223617089403e+08 3.7599307684084493e+08 3.7543478874886018e+08 3.7484528001362783e+08 3.7425294481335706e+08 3.7366277786716276e+08 3.7306543472773349e+08 3.7248492045028079e+08 3.7192483516150981e+08 3.7135962884052849e+08 3.7094778928695923e+08 3.7052807122684383e+08 3.7009814207799894e+08 3.6964720677735102e+08 3.6918183109193575e+08 3.6868598978653967e+08 3.6819026167348379e+08 3.6763023244379228e+08 3.6703093239572173e+08 3.6638134638223916e+08 3.6567287330154926e+08 3.6489506074768531e+08 3.6403613430830842e+08 3.6307640792961633e+08 3.6203169884486747e+08 3.6084285836343634e+08 3.5951004534267431e+08 3.5801393102683073e+08 3.5633371369163626e+08 3.5444794226182485e+08 3.5233509939495206e+08 3.4996872026143694e+08 3.4736538106978381e+08 3.4446070931943280e+08 3.4127270100099427e+08 3.3780872836286932e+08 3.3409595807179683e+08 3.3018061061919141e+08 3.2615066011469519e+08 3.2213456528235114e+08 3.1835902447160119e+08 3.1507642360546422e+08 3.1271637216620916e+08 3.1186464023043054e+08 3.1338076347059721e+08 3.1850748261589450e+08 3.2912851874498498e+08 3.4822414512042898e+08 3.8083935592433017e+08 3.2648557617080748e+08 +3.9603867955986098e+00 3.7606742515259914e+07 3.7612405636283204e+07 3.7621117455792367e+07 3.7634291131818183e+07 3.7651976142706156e+07 3.7672505880168810e+07 3.7694480233247854e+07 3.7719651420001499e+07 3.7750821145028353e+07 3.7789901462510698e+07 3.7838175460988231e+07 3.7897151346727692e+07 3.7968710536147743e+07 3.8055061161465622e+07 3.8158717227437533e+07 3.8282626186292455e+07 3.8430367718066104e+07 3.8606219702052057e+07 3.8815232999892354e+07 3.9063346825920850e+07 3.9357543563216932e+07 3.9706103383416556e+07 4.0119990159922399e+07 4.0617884488476083e+07 4.1223160034946814e+07 4.1949241340038158e+07 4.2808429113362245e+07 4.3820804624216869e+07 4.5012060200507931e+07 4.6412379817672729e+07 4.8056768200867735e+07 4.9985675523658566e+07 5.2245696569706447e+07 5.4890304193460979e+07 5.7980585609195709e+07 6.1585921473326571e+07 6.5784540532879502e+07 7.0663819872511759e+07 7.6320170908888102e+07 8.2858237930295199e+07 9.0992951631165892e+07 1.0041560571007010e+08 1.1126442172976047e+08 1.2366247295766607e+08 1.3770107321096194e+08 1.5341789753231829e+08 1.7077071037700838e+08 1.8960965533705607e+08 2.0965415095920423e+08 2.3048000196840617e+08 2.5152167810782483e+08 2.7214608568508977e+08 2.9172362331105381e+08 3.0963766436725420e+08 3.2542618967033947e+08 3.3883145420195943e+08 3.4979437647192758e+08 3.5843885985379660e+08 3.6500545669870520e+08 3.6982782652436435e+08 3.7322232806284624e+08 3.7551768250448352e+08 3.7696307077966124e+08 3.7780731681726217e+08 3.7820959316016960e+08 3.7829549001710433e+08 3.7818082938279611e+08 3.7791571157696897e+08 3.7753486900788879e+08 3.7708328242692316e+08 3.7655527970136690e+08 3.7599012650197250e+08 3.7539544433389235e+08 3.7479933550227886e+08 3.7420647463176572e+08 3.7360723584511942e+08 3.7302534967893058e+08 3.7246419680316424e+08 3.7189807365160179e+08 3.7148561453678232e+08 3.7106528048139286e+08 3.7063472693364227e+08 3.7018313919315678e+08 3.6971709092181981e+08 3.6922054300000840e+08 3.6872406912530696e+08 3.6816323038892764e+08 3.6756306388668472e+08 3.6691253849957579e+08 3.6620304065299255e+08 3.6542410278572029e+08 3.6456393341206259e+08 3.6360282770600027e+08 3.6255657733660483e+08 3.6136601561528212e+08 3.6003127259665126e+08 3.5853299149715823e+08 3.5685034043182564e+08 3.5496183722005469e+08 3.5284593332105470e+08 3.5047613494906139e+08 3.4786899568511248e+08 3.4496011493023878e+08 3.4176748677797377e+08 3.3829849416676617e+08 3.3458034314380401e+08 3.3065932120952553e+08 3.2662353002324152e+08 3.2260162321289521e+08 3.1882058495809335e+08 3.1553322702499348e+08 3.1316975601935178e+08 3.1231679970465869e+08 3.1383512325073129e+08 3.1896927318627048e+08 3.2960570603491157e+08 3.4872902888075519e+08 3.8139149107011801e+08 3.2606167960685539e+08 +3.9653551183728681e+00 3.9043377907501452e+07 3.9048872024844877e+07 3.9057306380119964e+07 3.9070127256453149e+07 3.9087480185091473e+07 3.9107843469886333e+07 3.9129879135691784e+07 3.9155231457846873e+07 3.9186595740774050e+07 3.9225866027181849e+07 3.9274341775412269e+07 3.9333536159828387e+07 3.9405331666904092e+07 3.9491939925030589e+07 3.9595880187629402e+07 3.9720105178193077e+07 3.9868201198822685e+07 4.0044454757450610e+07 4.0253926988136500e+07 4.0502568846130565e+07 4.0797376266141109e+07 4.1146644690334141e+07 4.1561354358806528e+07 4.2060212725647360e+07 4.2666648792662472e+07 4.3394122471847773e+07 4.4254944706165053e+07 4.5269222647984721e+07 4.6462686586348385e+07 4.7865563512569875e+07 4.9512904648253463e+07 5.1445209096008003e+07 5.3709121487037778e+07 5.6358163074401520e+07 5.9453464565267220e+07 6.3064439935480781e+07 6.7269333918588698e+07 7.2155512281200647e+07 7.7819334763018340e+07 8.4365336312505603e+07 9.2508874575657859e+07 1.0194029934664714e+08 1.1279728133064052e+08 1.2520211918678427e+08 1.3924509357543311e+08 1.5496257490318671e+08 1.7231078070566899e+08 1.9113815994044831e+08 2.1116246871267194e+08 2.3195813754995528e+08 2.5295887503318506e+08 2.7353170585537505e+08 2.9304818512517351e+08 3.1089385214743215e+08 3.2660952075278187e+08 3.3994056033606035e+08 3.5083077440193397e+08 3.5940639087675160e+08 3.6590954613517708e+08 3.7067474782055748e+08 3.7401860964260226e+08 3.7626968129710597e+08 3.7767672836271131e+08 3.7848803393885988e+08 3.7886220620395964e+08 3.7892429303817266e+08 3.7878961236861539e+08 3.7850783426739508e+08 3.7811328267934120e+08 3.7765058823228514e+08 3.7711376983029610e+08 3.7654177396709025e+08 3.7594193625646347e+08 3.7534206777159888e+08 3.7474652390637338e+08 3.7414539819585627e+08 3.7356214729331982e+08 3.7299993300955135e+08 3.7243289881048644e+08 3.7201982421238816e+08 3.7159887827338833e+08 3.7116770452045572e+08 3.7071546873152423e+08 3.7024875240416646e+08 3.6975150266407633e+08 3.6925428793530113e+08 3.6869264514379990e+08 3.6809161802183360e+08 3.6744015958530420e+08 3.6672964387141198e+08 3.6594958826531327e+08 3.6508818432229680e+08 3.6412570860984969e+08 3.6307792721192598e+08 3.6188565583143532e+08 3.6054899579887378e+08 3.5904856249133581e+08 3.5736349406593919e+08 3.5547227744586569e+08 3.5335333310198051e+08 3.5098013852291667e+08 3.4836922463306063e+08 3.4545616317785776e+08 3.4225894625794727e+08 3.3878496742998487e+08 3.3506147185678422e+08 3.3113481359644789e+08 3.2709322100155634e+08 3.2306554132735312e+08 3.1927904249324280e+08 3.1598695948187119e+08 3.1362009190698385e+08 3.1276591948527765e+08 3.1428642855406946e+08 3.1942795931654239e+08 3.3007968536976427e+08 3.4923051853469294e+08 3.8193991431514496e+08 3.2563695514708233e+08 +3.9703234411471264e+00 4.0480056613135815e+07 4.0485381844950095e+07 4.0493538585415430e+07 4.0506006637859210e+07 4.0523027521989055e+07 4.0543224224704616e+07 4.0565320789273597e+07 4.0590853684468500e+07 4.0622411860108770e+07 4.0661871334790327e+07 4.0710547898011647e+07 4.0769959665621035e+07 4.0841990164701357e+07 4.0928854481311671e+07 4.1033077074506283e+07 4.1157615887360789e+07 4.1306063782681830e+07 4.1482715822293326e+07 4.1692643324346602e+07 4.1941808881518692e+07 4.2237221857835226e+07 4.2587192821906701e+07 4.3002718192871369e+07 4.3502531964664422e+07 4.4110118054638401e+07 4.4838971496415161e+07 4.5701413254487693e+07 4.6717576013008483e+07 4.7913227565810941e+07 4.9318637380994290e+07 5.0968902547586776e+07 5.2904570366236098e+07 5.5172334467248343e+07 5.7825763521722093e+07 6.0926030599508196e+07 6.4542581701140471e+07 6.8753676072912335e+07 7.3646666502685785e+07 7.9317859205090672e+07 8.5871677770793065e+07 9.4023893726615131e+07 1.0346391832071355e+08 1.1432886882425617e+08 1.2674026717312863e+08 1.4078735969133440e+08 1.5650521254377180e+08 1.7384849908568802e+08 1.9266397950861511e+08 2.1266775702995148e+08 2.3343290124110767e+08 2.5439237565509871e+08 2.7491334017391115e+08 2.9436852122098082e+08 3.1214563439451277e+08 3.2778833038608676e+08 3.4104508986279410e+08 3.5186259274218744e+08 3.6036937966655385e+08 3.6680915853493595e+08 3.7151727367478567e+08 3.7481058473661470e+08 3.7701746320053130e+08 3.7838625501250285e+08 3.7916469967120063e+08 3.7951083970860845e+08 3.7954918019170910e+08 3.7939453490739864e+08 3.7909614408157045e+08 3.7868792382497776e+08 3.7821415517553616e+08 3.7766854886265910e+08 3.7708973281158704e+08 3.7648475747114635e+08 3.7588114332541203e+08 3.7528292740269631e+08 3.7467992349492157e+08 3.7409531500890148e+08 3.7353204549472368e+08 3.7296410602948642e+08 3.7255042002363372e+08 3.7212886631126404e+08 3.7169707654450446e+08 3.7124419709632230e+08 3.7077681724079126e+08 3.7027887047903734e+08 3.6978091980095297e+08 3.6921847840344673e+08 3.6861659649308544e+08 3.6796421132902044e+08 3.6725268464312959e+08 3.6647151886909676e+08 3.6560888871767986e+08 3.6464505231382775e+08 3.6359575014054060e+08 3.6240178067579699e+08 3.6106321660695106e+08 3.5956064566014290e+08 3.5787317623688775e+08 3.5597926457360572e+08 3.5385730036161035e+08 3.5148073259680575e+08 3.4886606951453930e+08 3.4594885565035665e+08 3.4274708101455528e+08 3.3926814970994008e+08 3.3553934575020927e+08 3.3160708930188364e+08 3.2755973455313265e+08 3.2352632111042595e+08 3.1973439854493070e+08 3.1643762242875344e+08 3.1406738127067447e+08 3.1321200101027876e+08 3.1473468082525235e+08 3.1988354247541595e+08 3.3055045826721597e+08 3.4972861568773293e+08 3.8248462741560352e+08 3.2521141048971897e+08 +3.9752917639213847e+00 4.1916752777652614e+07 4.1921909830423638e+07 4.1929789276599444e+07 4.1941904534777440e+07 4.1958593384948395e+07 4.1978623433664262e+07 4.2000780484322153e+07 4.2026493386748284e+07 4.2058244788430177e+07 4.2097892667959191e+07 4.2146769108838990e+07 4.2206397141591012e+07 4.2278661304152235e+07 4.2365780101662226e+07 4.2470283156059600e+07 4.2595133577982523e+07 4.2743930729556695e+07 4.2920978151688479e+07 4.3131357258059777e+07 4.3381042175355613e+07 4.3677055574359424e+07 4.4027723005804121e+07 4.4444056880193025e+07 4.4944817412422106e+07 4.5553543014375374e+07 4.6283763591304518e+07 4.7147809917534202e+07 4.8165839857292913e+07 4.9363658253029414e+07 5.0771576509807274e+07 5.2424736955381200e+07 5.4363734356995814e+07 5.6635310496294007e+07 5.9293080481680013e+07 6.2398258616914660e+07 6.6020321633701548e+07 7.0237541820002586e+07 7.5137257327561706e+07 8.0815719003405571e+07 8.7377237069525942e+07 9.5537983876145095e+07 1.0498643750257397e+08 1.1585915923204575e+08 1.2827689219181208e+08 1.4232784722638676e+08 1.5804578669521689e+08 1.7538384255803043e+08 1.9418709215052310e+08 2.1416999538718531e+08 2.3490427419213948e+08 2.5582216307861784e+08 2.7629097391677135e+08 2.9568461916406804e+08 3.1339300096136189e+08 3.2896261059075093e+08 3.4214503675675017e+08 3.5288982714733905e+08 3.6132782326702172e+08 3.6770429205365926e+08 3.7235540311042792e+08 3.7559825303434241e+08 3.7776102841150385e+08 3.7909165131164622e+08 3.7983731489084047e+08 3.8015549477607679e+08 3.8017015275459659e+08 3.7999559841014671e+08 3.7968064253434271e+08 3.7925879403900099e+08 3.7877398491213357e+08 3.7821961849890918e+08 3.7763400476799154e+08 3.7702390973222691e+08 3.7641656393164545e+08 3.7581568689676452e+08 3.7521081352087611e+08 3.7462485460430700e+08 3.7406053603659004e+08 3.7349169708385032e+08 3.7307740374420667e+08 3.7265524636625034e+08 3.7222284477526164e+08 3.7176932605499679e+08 3.7130128719684947e+08 3.7080264820671761e+08 3.7030396648272115e+08 3.6974073192539513e+08 3.6913800105543888e+08 3.6848469548231733e+08 3.6777216471613163e+08 3.6698989634128237e+08 3.6612604833856446e+08 3.6516086055458724e+08 3.6411004785266972e+08 3.6291439187329829e+08 3.6157393673950493e+08 3.6006924271495694e+08 3.5837938864834261e+08 3.5648280029780138e+08 3.5435783678484428e+08 3.5197791884363168e+08 3.4935953199083996e+08 3.4643819399470508e+08 3.4323189267931908e+08 3.3974804262203526e+08 3.3601396642223084e+08 3.3207614990480000e+08 3.2802307223720419e+08 3.2398396410205662e+08 3.2018665463538289e+08 3.1688521737201059e+08 3.1451162560540956e+08 3.1365504577070701e+08 3.1517988156273681e+08 3.2033602418550706e+08 3.3101802630036354e+08 3.5022332200477695e+08 3.8302563219270599e+08 3.2478505331142592e+08 +3.9802600866956430e+00 4.3353442962264620e+07 4.3358431086806066e+07 4.3366033644964613e+07 4.3377796343345672e+07 4.3394153161151744e+07 4.3414016438487001e+07 4.3436233572690018e+07 4.3462125913839050e+07 4.3494069873634458e+07 4.3533905371626660e+07 4.3582980750464194e+07 4.3642823927701183e+07 4.3715320422361203e+07 4.3802692120184980e+07 4.3907473762967408e+07 4.4032633576948225e+07 4.4181777362147324e+07 4.4359217063604437e+07 4.4570044101975560e+07 4.4820244034178652e+07 4.5116852715139605e+07 4.5468210533259831e+07 4.5885345702631250e+07 4.6387044339809276e+07 4.6996898929781593e+07 4.7728473998968884e+07 4.8594109919839308e+07 4.9613989385010794e+07 5.0813953828648657e+07 5.2224356053457506e+07 5.3880382996561736e+07 5.5822676160706632e+07 5.8098024630922012e+07 6.0760088973099604e+07 6.3870123596794508e+07 6.7497634673114166e+07 7.1720906063014820e+07 7.6627259628233403e+07 8.2312889010839298e+07 8.8881989061319560e+07 9.7051119909396648e+07 1.0650783186059608e+08 1.1738812767938952e+08 1.2981196962834416e+08 1.4386653196506494e+08 1.5958427372276393e+08 1.7691678829458681e+08 1.9570747611323065e+08 2.1566916340413225e+08 2.3637223770136678e+08 2.5724822055906272e+08 2.7766459251103312e+08 2.9699646666760528e+08 3.1463594184349918e+08 3.3013235352302051e+08 3.4324039511893350e+08 3.5391247338999712e+08 3.6228171883132285e+08 3.6859494494756895e+08 3.7318913524471283e+08 3.7638161431371117e+08 3.7850037721184379e+08 3.7979291792323750e+08 3.8050588055177557e+08 3.8079617258376914e+08 3.8078721207409114e+08 3.8059280435725671e+08 3.8026133120827878e+08 3.7982589498313481e+08 3.7933007916388094e+08 3.7876698050472987e+08 3.7817459163349289e+08 3.7755939485832554e+08 3.7694833142210263e+08 3.7634480422723079e+08 3.7573807011551034e+08 3.7515076792121792e+08 3.7458540647498423e+08 3.7401567381166440e+08 3.7360077721000051e+08 3.7317802027285367e+08 3.7274501104484212e+08 3.7229085743738836e+08 3.7182216409971517e+08 3.7132283767271066e+08 3.7082342980315328e+08 3.7025940752959716e+08 3.6965583352601629e+08 3.6900161385876822e+08 3.6828808590074968e+08 3.6750472248786366e+08 3.6663966498666447e+08 3.6567313512889928e+08 3.6462082214149362e+08 3.6342349121053624e+08 3.6208115797651690e+08 3.6057435542820573e+08 3.5888213306423712e+08 3.5698288637270993e+08 3.5485494411590004e+08 3.5247169899582601e+08 3.4984961378121871e+08 3.4692417991647118e+08 3.4371338294191980e+08 3.4022464783803636e+08 3.3648533552624393e+08 3.3254199703983694e+08 3.2848323566880602e+08 3.2443847189726734e+08 3.2063581234029996e+08 3.1732974587162691e+08 3.1495282645956451e+08 3.1409505531036907e+08 3.1562203231739151e+08 3.2078540602363867e+08 3.3148239109883535e+08 3.5071463920925373e+08 3.8356293053137374e+08 3.2435789126724839e+08 +3.9852284094699013e+00 4.4790102066885538e+07 4.4794921759977482e+07 4.4802246592861533e+07 4.4813657322091632e+07 4.4829682354774550e+07 4.4849378643430091e+07 4.4871655467958517e+07 4.4897726677723274e+07 4.4929862526734471e+07 4.4969884853777505e+07 4.5019158228375748e+07 4.5079215426977739e+07 4.5151942919522025e+07 4.5239565933980919e+07 4.5344624289011136e+07 4.5470091274445310e+07 4.5619579066551208e+07 4.5797407939528480e+07 4.6008679232282192e+07 4.6259389828122757e+07 4.6556588643429525e+07 4.6908630759676866e+07 4.7326560006365880e+07 4.7829188082404055e+07 4.8440161123791017e+07 4.9173078027324058e+07 5.0040288551874995e+07 5.1061999866644613e+07 5.2264089540765896e+07 5.3676951234461315e+07 5.5335815865152404e+07 5.7281370939810701e+07 5.9560451999390632e+07 6.2226764087800123e+07 6.5341600593280569e+07 6.8974495836123481e+07 7.3203743784062594e+07 7.8116648358964935e+07 8.3809344165913969e+07 9.0385908687791690e+07 9.8563276804802239e+07 1.0802807646145619e+08 1.1891574939555407e+08 1.3134547497825633e+08 1.4540338980933681e+08 1.6112065011573303e+08 1.7844731359873840e+08 1.9722510978128082e+08 2.1716524084480038e+08 2.3783677321478426e+08 2.5867053150188714e+08 2.7903418153270435e+08 2.9830405159160137e+08 3.1587444717757636e+08 3.3129755147354299e+08 3.4433115917618030e+08 3.5493052736061978e+08 3.6323106362183213e+08 3.6948111557554227e+08 3.7401846929024130e+08 3.7716066844232035e+08 3.7923550996643955e+08 3.8049005559019285e+08 3.8117039768428713e+08 3.8143287438103992e+08 3.8140035956981158e+08 3.8118615429811329e+08 3.8083821175444365e+08 3.8038922838551801e+08 3.7988243971755916e+08 3.7931063671023566e+08 3.7871149526966000e+08 3.7809121473177761e+08 3.7747644769231170e+08 3.7687028129627287e+08 3.7626169518326044e+08 3.7567305686455327e+08 3.7510665871308714e+08 3.7453603811409068e+08 3.7412054232012278e+08 3.7369718992760801e+08 3.7326357724779260e+08 3.7280879313592190e+08 3.7233944983940452e+08 3.7183944076384974e+08 3.7133931164726651e+08 3.7077450709802520e+08 3.7017009578342772e+08 3.6951496833413494e+08 3.6880045006882787e+08 3.6801599917748207e+08 3.6714974052596056e+08 3.6618187789568585e+08 3.6512807485929757e+08 3.6392908053444225e+08 3.6258488215824687e+08 3.6107598563259029e+08 3.5938141130864596e+08 3.5747952461321718e+08 3.5534862415788966e+08 3.5296207484479940e+08 3.5033631666377789e+08 3.4740681517839307e+08 3.4419155354912585e+08 3.4069796708761352e+08 3.3695345477299190e+08 3.3300463239704686e+08 3.2894022651698458e+08 3.2488984614458138e+08 3.2108187329000843e+08 3.1777120954055637e+08 3.1539098543389136e+08 3.1453203122567081e+08 3.1606113469380182e+08 3.2123168962016022e+08 3.3194355434712332e+08 3.5120256908411932e+08 3.8409652438183403e+08 3.2392993199056810e+08 +3.9901967322441596e+00 4.6226705364845321e+07 4.6231356657130256e+07 4.6238405108693242e+07 4.6249463087732717e+07 4.6265156438284807e+07 4.6284685526508801e+07 4.6307021646403208e+07 4.6333271153852917e+07 4.6365598222046755e+07 4.6405806585810579e+07 4.6455277011450477e+07 4.6515547105856560e+07 4.6588504259279504e+07 4.6676377003776796e+07 4.6781710191777781e+07 4.6907482124321751e+07 4.7057311292620689e+07 4.7235526224801876e+07 4.7447238089234553e+07 4.7698454991644152e+07 4.7996238786987051e+07 4.8348959105007924e+07 4.8767675202455759e+07 4.9271224041028067e+07 4.9883304984823391e+07 5.0617551050189614e+07 5.1486321170606285e+07 5.2509846639894933e+07 5.3714040705062769e+07 5.5129337343829170e+07 5.6791010824636765e+07 5.8739793927500613e+07 6.1022567801898353e+07 6.3693080991082579e+07 6.6812664735785715e+07 7.0450880216925919e+07 7.4686030045273721e+07 7.9605398556625500e+07 8.5305059492414966e+07 9.1888970979713559e+07 1.0007442963457911e+08 1.0954714647080840e+08 1.2044199971439809e+08 1.3287738384799573e+08 1.4693839677795115e+08 1.6265489248793828e+08 1.7997539590492719e+08 1.9873997167784798e+08 2.1865820761638758e+08 2.3929786232661545e+08 2.6008907946264100e+08 2.8039972670787561e+08 2.9960736194258767e+08 3.1710850724178022e+08 3.3245819686621207e+08 3.4541732328144908e+08 3.5594398506563550e+08 3.6417585500976080e+08 3.7036280239639169e+08 3.7484340455339015e+08 3.7793541537552333e+08 3.7996642712347049e+08 3.8118306513486028e+08 3.8183086739507389e+08 3.8206560149165869e+08 3.8200959673152888e+08 3.8177564985232544e+08 3.8141128589103204e+08 3.8094879604106873e+08 3.8043106842578012e+08 3.7985058901069844e+08 3.7924471760185456e+08 3.7861937129798239e+08 3.7800091470020860e+08 3.7739212006920975e+08 3.7678169069203359e+08 3.7619172340127146e+08 3.7562429471702343e+08 3.7505279195349336e+08 3.7463670103531557e+08 3.7421275728946847e+08 3.7377854534096479e+08 3.7332313510452497e+08 3.7285314636781120e+08 3.7235245942966664e+08 3.7185161396167827e+08 3.7128603257455862e+08 3.7068078976831400e+08 3.7002476084500444e+08 3.6930925915348154e+08 3.6852372833878279e+08 3.6765627688091040e+08 3.6668709077408224e+08 3.6563180792062861e+08 3.6443116175302500e+08 3.6308511118534577e+08 3.6157413522119784e+08 3.5987722526546651e+08 3.5797271689309561e+08 3.5583887877408737e+08 3.5344904824073911e+08 3.5081964247587502e+08 3.4788610160224980e+08 3.4466640630558938e+08 3.4116800215672314e+08 3.3741832592840689e+08 3.3346405772190994e+08 3.2939404650605971e+08 3.2533808854754210e+08 3.2152483916718769e+08 3.1820961004430223e+08 3.1582610418172520e+08 3.1496597516521204e+08 3.1649719034878314e+08 3.2167487665896559e+08 3.3240151778556734e+08 3.5168711346983945e+08 3.8462641575698137e+08 3.2350118309305960e+08 +3.9951650550184179e+00 4.7663228770575881e+07 4.7667711717137091e+07 4.7674483442647316e+07 4.7685189295913368e+07 4.7700550922302708e+07 4.7719912636644274e+07 4.7742307648471653e+07 4.7768734881807558e+07 4.7801252497784473e+07 4.7841646102935836e+07 4.7891312632593952e+07 4.7951794494805120e+07 4.8024979969402097e+07 4.8113100854380995e+07 4.8218706992737904e+07 4.8344781644597493e+07 4.8494949554503165e+07 4.8673547429260649e+07 4.8885696177651249e+07 4.9137415023870945e+07 4.9435778638342790e+07 4.9789171054270819e+07 5.0208666767279349e+07 5.0713127681897551e+07 5.1326305967247501e+07 5.2061868507734038e+07 5.2932183199850731e+07 5.3957505109846652e+07 5.5163782705400176e+07 5.6581489741537601e+07 5.8245943208419703e+07 6.0197920427962847e+07 6.2484347311058633e+07 6.5159014922141798e+07 6.8283291229325414e+07 7.1926762987265900e+07 7.6167739988792092e+07 8.1093485340933040e+07 8.6800010100411624e+07 9.3391151057817861e+07 1.0158455356494580e+08 1.1106501715314537e+08 1.2196685407450084e+08 1.3440767195467269e+08 1.4847152900787246e+08 1.6418697757768005e+08 1.8150101277964419e+08 2.0025204046383712e+08 2.2014804377005276e+08 2.4075548677872455e+08 2.6150384814606443e+08 2.8176121391149801e+08 3.0090638587275124e+08 3.1833811245457727e+08 3.3361428225868416e+08 3.4649888191210496e+08 3.5695284262979043e+08 3.6511609047430825e+08 3.7124000396976787e+08 3.7566394043454206e+08 3.7870585515697724e+08 3.8069312921560073e+08 3.8187194745822310e+08 3.8248729086595261e+08 3.8269435531222403e+08 3.8261492512022328e+08 3.8236129270700914e+08 3.8198055540378422e+08 3.8150459981002420e+08 3.8097596720585388e+08 3.8038683936511046e+08 3.7977426061887240e+08 3.7914386656613523e+08 3.7852173446679759e+08 3.7791032257348883e+08 3.7729805867117923e+08 3.7670676956072718e+08 3.7613831651426691e+08 3.7556593735586542e+08 3.7514925537916529e+08 3.7472472437934375e+08 3.7428991734206396e+08 3.7383388535933489e+08 3.7336325569797647e+08 3.7286189568032300e+08 3.7236033875424689e+08 3.7179398596380007e+08 3.7118791748215741e+08 3.7053099338993061e+08 3.6981451514928699e+08 3.6902791196193701e+08 3.6815927603651506e+08 3.6718877574415773e+08 3.6613202329987329e+08 3.6492973683422464e+08 3.6358184701862150e+08 3.6206880614610076e+08 3.6036957687795746e+08 3.5846246514527875e+08 3.5632570988552827e+08 3.5393262109217274e+08 3.5129959311139387e+08 3.4836204106608856e+08 3.4513794307193631e+08 3.4163475488746190e+08 3.3787995081466836e+08 3.3392027481540185e+08 3.2984469741505402e+08 3.2578320086226571e+08 3.2196471170808840e+08 3.1864494910136122e+08 3.1625818440839177e+08 3.1539688882991666e+08 3.1693020099110472e+08 3.2211496887702614e+08 3.3285628320898575e+08 3.5216827426585722e+08 3.8515260673461562e+08 3.2307165216464555e+08 +4.0001333777926762e+00 4.9099647639829308e+07 4.9103962476770446e+07 4.9110457463467740e+07 4.9120811564104155e+07 4.9135841370994873e+07 4.9155035581559859e+07 4.9177489079701893e+07 4.9204093465847291e+07 4.9236800956328765e+07 4.9277379004880048e+07 4.9327240689076692e+07 4.9387933188751876e+07 4.9461345642067038e+07 4.9549713075114302e+07 4.9655590278197810e+07 4.9781965418098047e+07 4.9932469431226552e+07 5.0111447127527490e+07 5.0324029067322463e+07 5.0576245489002667e+07 5.0875183755365632e+07 5.1229242157992169e+07 5.1649510242941931e+07 5.2154874537448600e+07 5.2769139591825023e+07 5.3506005907010995e+07 5.4377850130747654e+07 5.5404950749524072e+07 5.6613290994372375e+07 5.8033383857176855e+07 5.9700588420373403e+07 6.1655725816933341e+07 6.3945765872328304e+07 6.6624541194556952e+07 6.9753455355070546e+07 7.3402119397202492e+07 7.7648848837285236e+07 8.2580883914990395e+07 8.8294171186358958e+07 9.4892424132533282e+07 1.0309362385677756e+08 1.1258166387293813e+08 1.2349028801955351e+08 1.3593631512698963e+08 1.5000276275365677e+08 1.6571688224821901e+08 1.8302414192043832e+08 2.0176129493826038e+08 2.2163472950022119e+08 2.4220962846028531e+08 2.6291482140689024e+08 2.8311862916741627e+08 3.0220111168015450e+08 3.1956325337458831e+08 3.3476580034173626e+08 3.4757582967071265e+08 3.5795709629172438e+08 3.6605176760237527e+08 3.7211271895540512e+08 3.7648007642700762e+08 3.7947198791746855e+08 3.8141561685666978e+08 3.8255670354096448e+08 3.8313966935400248e+08 3.8331913731120437e+08 3.8321634636684197e+08 3.8294308461864501e+08 3.8254602214477462e+08 3.8205664161852598e+08 3.8151713803984469e+08 3.8091938979634571e+08 3.8030012637311018e+08 3.7966470260791332e+08 3.7903890907617950e+08 3.7842489089840251e+08 3.7781080121254325e+08 3.7721819743419129e+08 3.7664872619370902e+08 3.7607547640741378e+08 3.7565820743566585e+08 3.7523309327919000e+08 3.7479769533176166e+08 3.7434104597749764e+08 3.7386977990466607e+08 3.7336775158778322e+08 3.7286548809452486e+08 3.7229836933182055e+08 3.7169148098774004e+08 3.7103366802780914e+08 3.7031622011079758e+08 3.6952855209732330e+08 3.6865874003865296e+08 3.6768693484647185e+08 3.6662872303184903e+08 3.6542480780560470e+08 3.6407509167842114e+08 3.6256000041934878e+08 3.6085846814871043e+08 3.5894877136173379e+08 3.5680911947245932e+08 3.5441279536568183e+08 3.5177617052211159e+08 3.4883463550602156e+08 3.4560616576649004e+08 3.4209822717834884e+08 3.3833833130930275e+08 3.3437328553274125e+08 3.3029218107654494e+08 3.2622518489962018e+08 3.2240149270227134e+08 3.1907722848248112e+08 3.1668722787147629e+08 3.1582477397247678e+08 3.1736016838195199e+08 3.2255196806417626e+08 3.3330785246695107e+08 3.5264605342866993e+08 3.8567509945422119e+08 3.2264134677345330e+08 +4.0051017005669340e+00 5.0535937971063845e+07 5.0540084222086422e+07 5.0546303044647798e+07 5.0556305335807495e+07 5.0571003429515846e+07 5.0590030025218315e+07 5.0612541611062437e+07 5.0639322575239249e+07 5.0672219264740638e+07 5.0712980956146680e+07 5.0763036843051448e+07 5.0823938847495876e+07 5.0897576934538849e+07 5.0986189320464499e+07 5.1092335699444704e+07 5.1219009092747808e+07 5.1369846566956423e+07 5.1549200959666081e+07 5.1762212393573768e+07 5.2014922016971305e+07 5.2314429761731304e+07 5.2669148032760881e+07 5.3090181237852886e+07 5.3596440206568226e+07 5.4211781446324259e+07 5.4949938822428688e+07 5.5823297522296987e+07 5.6852159100411355e+07 5.8062541093521073e+07 5.9484995190102786e+07 6.1154921935290284e+07 6.3113185542131118e+07 6.5406798904416882e+07 6.8089635196610406e+07 7.1223132470797405e+07 7.4876924775482327e+07 7.9129331894538179e+07 8.4067569565504342e+07 8.9787518033714727e+07 9.6392765505021632e+07 1.0460161586568445e+08 1.1409706209387027e+08 1.2501227719848263e+08 1.3746328930481395e+08 1.5153207438787630e+08 1.6724458348736179e+08 1.8454476115722421e+08 2.0326771403828719e+08 2.2311824514534739e+08 2.4366026940821543e+08 2.6432198324896058e+08 2.8447195864808536e+08 3.0349152780884987e+08 3.2078392070065087e+08 3.3591274393830848e+08 3.4864816128369176e+08 3.5895674240712029e+08 3.6698288408777535e+08 3.7298094611260331e+08 3.7729181211724746e+08 3.8023381387507886e+08 3.8213389074314851e+08 3.8323733444012797e+08 3.8378800419181365e+08 3.8393994902944124e+08 3.8381386217205936e+08 3.8352102741092521e+08 3.8310768803289026e+08 3.8260492345808566e+08 3.8205458297398198e+08 3.8144824239120454e+08 3.8082231697922432e+08 3.8018188155683184e+08 3.7955244067302048e+08 3.7893582719619119e+08 3.7831992046944612e+08 3.7772600917460412e+08 3.7715552590673810e+08 3.7658141125626814e+08 3.7616355935063666e+08 3.7573786613237751e+08 3.7530188145009983e+08 3.7484461909707099e+08 3.7437272112349087e+08 3.7387002928480512e+08 3.7336706411153787e+08 3.7279918480556267e+08 3.7219148240799987e+08 3.7153278687752610e+08 3.7081437615351796e+08 3.7002565085598326e+08 3.6915467099320531e+08 3.6818157018062377e+08 3.6712190921025902e+08 3.6591637675491554e+08 3.6456484724410605e+08 3.6304772011194265e+08 3.6134390113881046e+08 3.5943163759245670e+08 3.5728910957283300e+08 3.5488957308568174e+08 3.5224937671813518e+08 3.4930388691460103e+08 3.4607107636324036e+08 3.4255842098340344e+08 3.3879346934484947e+08 3.3482309178374845e+08 3.3073649937746829e+08 3.2666404252226359e+08 3.2283518399084073e+08 3.1950645001014519e+08 3.1711323637979358e+08 3.1624963239664984e+08 3.1778709433401930e+08 3.2298587606280690e+08 3.3375622746340185e+08 3.5312045297253609e+08 3.8619389611942554e+08 3.2221027446577209e+08 +4.0100700233411919e+00 5.1972074742056802e+07 5.1976053201193735e+07 5.1981995292554758e+07 5.1991646300632849e+07 5.2006012879492633e+07 5.2024871696915485e+07 5.2047440979161754e+07 5.2074397944792137e+07 5.2107483155065857e+07 5.2148427686616078e+07 5.2198676822145313e+07 5.2259787196241781e+07 5.2333649569421977e+07 5.2422505310248546e+07 5.2528918973372713e+07 5.2655888382150747e+07 5.2807056671674386e+07 5.2986784631499790e+07 5.3200221857606754e+07 5.3453420303705864e+07 5.3753492347499020e+07 5.4108864361610025e+07 5.4530655427105695e+07 5.5037800355295755e+07 5.5654207185786247e+07 5.6393642896123171e+07 5.7268501001769207e+07 5.8299105772887461e+07 5.9511508594185516e+07 6.0936299310046092e+07 6.2608919299172394e+07 6.4570275123738766e+07 6.6867421899733923e+07 6.9554272392050132e+07 7.2692298011366144e+07 7.6351154529781893e+07 8.0609164545638219e+07 8.5553517663490951e+07 9.1280026012995392e+07 9.7892150567281395e+07 1.0610850504243165e+08 1.1561118738027978e+08 1.2653279736618553e+08 1.3898857054004699e+08 1.5305944040155816e+08 1.6877005840839326e+08 1.8606284845118630e+08 2.0477127683927268e+08 2.2459857118695360e+08 2.4510739180659711e+08 2.6572531782461789e+08 2.8582118867425627e+08 3.0477762284685379e+08 3.2200010527073663e+08 3.3705510600392401e+08 3.4971587160117394e+08 3.5995177744633466e+08 3.6790943773145890e+08 3.7384468429923099e+08 3.7809914718378752e+08 3.8099133333429110e+08 3.8284795165382046e+08 3.8391384129234487e+08 3.8443229678587121e+08 3.8455679207991379e+08 3.8440747430617476e+08 3.8409512297554749e+08 3.8366555505368024e+08 3.8314944738516766e+08 3.8258830411850357e+08 3.8197339929939777e+08 3.8134083461507189e+08 3.8069540560936916e+08 3.8006233146522999e+08 3.7944313367952657e+08 3.7882541865700662e+08 3.7823020699546444e+08 3.7765871786496919e+08 3.7708374411126518e+08 3.7666531333072597e+08 3.7623904514317364e+08 3.7580247789913172e+08 3.7534460691740149e+08 3.7487208155037105e+08 3.7436873096433794e+08 3.7386506899635744e+08 3.7329643457151157e+08 3.7268792392648202e+08 3.7202835211927509e+08 3.7130898545292908e+08 3.7051921040854841e+08 3.6964707106538260e+08 3.6867268390686935e+08 3.6761158398926115e+08 3.6640444582830209e+08 3.6505111585474700e+08 3.6353196735380673e+08 3.6182587796836680e+08 3.5991106594661480e+08 3.5776568228283006e+08 3.5536295633407390e+08 3.5271921376523852e+08 3.4976979734104413e+08 3.4653267689258671e+08 3.4301533831232417e+08 3.3924536690876257e+08 3.3526969553313464e+08 3.3117765425749910e+08 3.2709977564696491e+08 3.2326578746803182e+08 3.1993261555901182e+08 3.1753621179355246e+08 3.1667146595759088e+08 3.1821098071167088e+08 3.2341669476819777e+08 3.3420141015610117e+08 3.5359147496947676e+08 3.8670899899562293e+08 3.2177844276601106e+08 +4.0150383461154497e+00 5.3408035095692396e+07 5.3411844938043728e+07 5.3417511202051073e+07 5.3426810363012560e+07 5.3440845535949081e+07 5.3459536399816737e+07 5.3482162986163013e+07 5.3509295375144504e+07 5.3542568424824126e+07 5.3583694992023386e+07 5.3634136419727072e+07 5.3695454026105426e+07 5.3769539335264221e+07 5.3858636830367535e+07 5.3965315882826701e+07 5.4092579065904953e+07 5.4244075521479540e+07 5.4424173915280499e+07 5.4638033227168813e+07 5.4891716111828603e+07 5.5192347269294851e+07 5.5548366894517064e+07 5.5970908553032748e+07 5.6478930717007667e+07 5.7096392533115111e+07 5.7837093838527083e+07 5.8713436265225910e+07 5.9745766446586356e+07 6.0960169157485247e+07 6.2387271857701272e+07 6.4062556129856415e+07 6.6026970154826917e+07 6.8327610425034598e+07 7.1018428320147559e+07 7.4160927488901258e+07 7.7824784147339061e+07 8.2088322257643521e+07 8.7038703664379030e+07 9.2771670582532480e+07 9.9390554802296981e+07 1.0761426693353650e+08 1.1712401539663513e+08 1.2805182438322143e+08 1.4051213499640548e+08 1.5458483740399069e+08 1.7029328424946657e+08 1.8757838189583948e+08 2.0627196255482990e+08 2.2607568825028929e+08 2.4655097798658556e+08 2.6712480943597427e+08 2.8716630571448541e+08 3.0605938552728790e+08 3.2321179806164032e+08 3.3819287962509501e+08 3.5077895559705281e+08 3.6094219799350971e+08 3.6883142644027030e+08 3.7470393247292310e+08 3.7890208139728433e+08 3.8174454668628812e+08 3.8355780044807619e+08 3.8458622531047267e+08 3.8507254861673760e+08 3.8516966814655626e+08 3.8499718460881829e+08 3.8466537327203900e+08 3.8421962525756335e+08 3.8369021552033544e+08 3.8311830364761835e+08 3.8249486273318231e+08 3.8185568152051991e+08 3.8120527702308863e+08 3.8056858372149360e+08 3.7994681262315238e+08 3.7932729805012774e+08 3.7873079317204815e+08 3.7815830434091347e+08 3.7758247724206680e+08 3.7716347164327717e+08 3.7673663257618135e+08 3.7629948694116157e+08 3.7584101169748187e+08 3.7536786344209874e+08 3.7486385887973368e+08 3.7435950499918097e+08 3.7379012087687182e+08 3.7318080778644902e+08 3.7252036599212211e+08 3.7180005024366838e+08 3.7100923298478729e+08 3.7013594248087394e+08 3.6916027824414128e+08 3.6809774958129817e+08 3.6688901723179334e+08 3.6553389970743138e+08 3.6401274433266962e+08 3.6230440081482750e+08 3.6038705859020799e+08 3.5823883975559813e+08 3.5583294724991781e+08 3.5318568378704906e+08 3.5023236889061522e+08 3.4699096943998569e+08 3.4346898122947741e+08 3.3969402604321462e+08 3.3571309879858512e+08 3.3161564771044630e+08 3.2753238624247414e+08 3.2369330507963890e+08 3.2035572705449861e+08 3.1795615602450341e+08 3.1709027656157780e+08 3.1863182943006545e+08 3.2384442612632191e+08 3.3464340255697650e+08 3.5405912154714096e+08 3.8722041041118020e+08 3.2134585917665929e+08 +4.0200066688897076e+00 5.4843792581181906e+07 5.4847435273351468e+07 5.4852825750577055e+07 5.4861773679774784e+07 5.4875477244561359e+07 5.4894000011719123e+07 5.4916683500441559e+07 5.4943990732974187e+07 5.4977450937444828e+07 5.5018758734280691e+07 5.5069391495591789e+07 5.5130915194504663e+07 5.5205222086992361e+07 5.5294559733159691e+07 5.5401502277228601e+07 5.5529056990318634e+07 5.5680878959186487e+07 5.5861344649834044e+07 5.6075622336759120e+07 5.6329785270878293e+07 5.6630970351000063e+07 5.6987631448988989e+07 5.7410916425545573e+07 5.7919807093063466e+07 5.8538313279483192e+07 5.9280267428790763e+07 6.0158079077903695e+07 6.1192116871012121e+07 6.2408498515223570e+07 6.3837888544975653e+07 6.5515808117425241e+07 6.7483246301722035e+07 6.9787340121536583e+07 7.2482078596270278e+07 7.5628996493631989e+07 7.9297789195283785e+07 8.3566780579744861e+07 8.8523103108648062e+07 9.4262427288735315e+07 1.0088795378491804e+08 1.0911887718122306e+08 1.1863552190851112e+08 1.2956933421660115e+08 1.4203395895000595e+08 1.5610824212344095e+08 1.7181423837451416e+08 1.8909133971636054e+08 2.0776975053646410e+08 2.2754957710386804e+08 2.4799101042670339e+08 2.6852044253280067e+08 2.8850729638541406e+08 3.0733680472740000e+08 3.2441899018858492e+08 3.3932605801977491e+08 3.5183740836718476e+08 3.6192800074827909e+08 3.6974884822691119e+08 3.7555868968791032e+08 3.7970061461985284e+08 3.8249345440739954e+08 3.8426343806678581e+08 3.8525448778503871e+08 3.8570876123915774e+08 3.8577857898429954e+08 3.8558299498817617e+08 3.8523178032576108e+08 3.8476990076051617e+08 3.8422723004942226e+08 3.8364458379811835e+08 3.8301263496750289e+08 3.8236685999699128e+08 3.8171149811777169e+08 3.8107119977168995e+08 3.8044686636158180e+08 3.7982556098573160e+08 3.7922777003915888e+08 3.7865428766757631e+08 3.7807761297858292e+08 3.7765803661564243e+08 3.7723063075628221e+08 3.7679291089778894e+08 3.7633383575683373e+08 3.7586006911492085e+08 3.7535541534429461e+08 3.7485037443045270e+08 3.7428024602860820e+08 3.7367013629105651e+08 3.7300883079486513e+08 3.7228757282051682e+08 3.7149572087488329e+08 3.7062128752309549e+08 3.6964435547048426e+08 3.6858040825820535e+08 3.6737009322927892e+08 3.6601320105779576e+08 3.6449005329540700e+08 3.6277947191420096e+08 3.6085961774706066e+08 3.5870858420220679e+08 3.5629954802837157e+08 3.5364878896304637e+08 3.5069160372481835e+08 3.4744595614721531e+08 3.4391935185497606e+08 3.4013944884440070e+08 3.3615330365194976e+08 3.3205048178282487e+08 3.2796187632980412e+08 3.2411773882315189e+08 3.2077578647400033e+08 3.1837307103431875e+08 3.1750606616538644e+08 3.1904964245555902e+08 3.2426907213571733e+08 3.3508220673070812e+08 3.5452339489082932e+08 3.8772813275497097e+08 3.2091253117824495e+08 +4.0249749916639654e+00 5.6279325549162596e+07 5.6282800754896887e+07 5.6287914891902424e+07 5.6296511827589370e+07 5.6309883944358185e+07 5.6328238479987971e+07 5.6350978457071573e+07 5.6378459951509871e+07 5.6412106622779928e+07 5.6453594842049465e+07 5.6504417976146936e+07 5.6566146625608787e+07 5.6640673746322386e+07 5.6730249937789932e+07 5.6837454072851494e+07 5.6965298068613037e+07 5.7117442894700982e+07 5.7298272741368532e+07 5.7512965088327646e+07 5.7767603677970991e+07 5.8069337484284103e+07 5.8426633910128072e+07 5.8850654922707967e+07 5.9360405353213355e+07 5.9979945284784161e+07 6.0723139515147403e+07 6.1602405274698429e+07 6.2638132865868896e+07 6.3856472469994299e+07 6.5288125155467138e+07 6.6968651024620399e+07 6.8939079304614604e+07 7.1246586705539912e+07 7.3945198912585244e+07 7.7096480693881333e+07 8.0770145320930675e+07 8.5044515143758133e+07 9.0006691622039571e+07 9.5752271766319901e+07 1.0238432318184990e+08 1.1062231152410536e+08 1.2014568278231378e+08 1.3108530293988089e+08 1.4355401878947115e+08 1.5762963140686271e+08 1.7333289827262780e+08 1.9060170027044630e+08 2.0926462027419743e+08 2.2902021865936285e+08 2.4942747175158983e+08 2.6991220171349931e+08 2.8984414745020235e+08 3.0860986946847987e+08 3.2562167290567535e+08 3.4045463453629494e+08 3.5289122512989497e+08 3.6290918252210796e+08 3.7066170120929044e+08 3.7640895509728956e+08 3.8049474680441093e+08 3.8323805705972177e+08 3.8496486553131783e+08 3.8591863008263510e+08 3.8634093628051364e+08 3.8638352641873604e+08 3.8616490742070061e+08 3.8579434622937375e+08 3.8531638374456751e+08 3.8476049322112757e+08 3.8416714687006271e+08 3.8352671833982795e+08 3.8287437240821683e+08 3.8221407127338755e+08 3.8157018200645375e+08 3.8094329729056668e+08 3.8032020986061853e+08 3.7972113999249202e+08 3.7914667023803347e+08 3.7856915371091878e+08 3.7814901063525575e+08 3.7772104206822377e+08 3.7728275215123755e+08 3.7682308147419679e+08 3.7634870094475889e+08 3.7584340273100871e+08 3.7533767965957803e+08 3.7476681239235502e+08 3.7415591180243731e+08 3.7349374888560200e+08 3.7277155553639054e+08 3.7197867642692429e+08 3.7110310853541905e+08 3.7012491792220914e+08 3.6905956235045183e+08 3.6784767614315790e+08 3.6648902222019500e+08 3.6496389654609358e+08 3.6325109355997074e+08 3.6132874569885749e+08 3.5917491789010215e+08 3.5676276092244554e+08 3.5410853152903521e+08 3.5114750406047362e+08 3.4789763921057791e+08 3.4436645236266237e+08 3.4058163746255344e+08 3.3659031221816158e+08 3.3248215857364357e+08 3.2838824798229349e+08 3.2453909074791813e+08 3.2119279584511405e+08 3.1878695883604550e+08 3.1791883677611780e+08 3.1946442180540121e+08 3.2469063484681022e+08 3.3551782479612118e+08 3.5498429724151480e+08 3.8823216847880042e+08 3.2047846622929579e+08 +4.0299433144382233e+00 5.7714608617900275e+07 5.7717916205776714e+07 5.7722754856763132e+07 5.7731000836563364e+07 5.7744041651249535e+07 5.7762227814885385e+07 5.7785023858350657e+07 5.7812679030944139e+07 5.7846511477606177e+07 5.7888179311130315e+07 5.7939191855155803e+07 5.8001124310834460e+07 5.8075870302246451e+07 5.8165683430755056e+07 5.8273147253386833e+07 5.8401278281507313e+07 5.8553743305440158e+07 5.8734934163617760e+07 5.8950037451531373e+07 5.9205147298025474e+07 5.9507424628737397e+07 5.9865350231604561e+07 6.0290099991096936e+07 6.0800701436118595e+07 6.1421264478162304e+07 6.2165686015437305e+07 6.3046390760514021e+07 6.4083790321498655e+07 6.5304066895799294e+07 6.6737957544970781e+07 6.8421060687271863e+07 7.0394444977893576e+07 7.2705325968855932e+07 7.5407765037852749e+07 7.8563355836727649e+07 8.2241828252605423e+07 8.6521501664772496e+07 9.1489444916054875e+07 9.7241179738821477e+07 1.0387963875190575e+08 1.1212454579723132e+08 1.2165447398604047e+08 1.3259970673340097e+08 1.4507229101610807e+08 1.5914898222035038e+08 1.7484924155882403e+08 1.9210944204760402e+08 2.1075655139603737e+08 2.3048759397186249e+08 2.5086034473335019e+08 2.7130007172436178e+08 2.9117684581973797e+08 3.0987856891485822e+08 3.2681983760352099e+08 3.4157860265355158e+08 3.5394040122531462e+08 3.6388574024127519e+08 3.7156998361010957e+08 3.7725472795119780e+08 3.8128447799488908e+08 3.8397835529025179e+08 3.8566208394304174e+08 3.8657865364665675e+08 3.8696907544181132e+08 3.8698451234625983e+08 3.8674292395119572e+08 3.8635307314141232e+08 3.8585907645526308e+08 3.8529000734755158e+08 3.8468599522577596e+08 3.8403711524869502e+08 3.8337822117843062e+08 3.8271299893139529e+08 3.8206553287652135e+08 3.8143610786630887e+08 3.8081124713085312e+08 3.8021090548726296e+08 3.7963545450534528e+08 3.7905710188830155e+08 3.7863639614891398e+08 3.7820786895594740e+08 3.7776901314295048e+08 3.7730875128822434e+08 3.7683376136694670e+08 3.7632782347151548e+08 3.7582142311551291e+08 3.7524982239358938e+08 3.7463813674168533e+08 3.7397512268141961e+08 3.7325200080406493e+08 3.7245810204798472e+08 3.7158140791887748e+08 3.7060196799525541e+08 3.6953521424524337e+08 3.6832176835375452e+08 3.6696136556566739e+08 3.6543427644632977e+08 3.6371926810277736e+08 3.6179444478326046e+08 3.5963784314334351e+08 3.5722258824028969e+08 3.5456491377628505e+08 3.5160007216996628e+08 3.4834602088111067e+08 3.4481028498119700e+08 3.4102059410179412e+08 3.3702412667544699e+08 3.3291068023420489e+08 3.2881150332488096e+08 3.2495736295376807e+08 3.2160675724625146e+08 3.1919782149265176e+08 3.1832859045106602e+08 3.1987616954615712e+08 3.2510911636005378e+08 3.3595025892367774e+08 3.5544183089592922e+08 3.8873252009467566e+08 3.2004367176630169e+08 +4.0349116372124811e+00 5.9149618473747447e+07 5.9152758067389868e+07 5.9157321623438261e+07 5.9165216806414254e+07 5.9177926442155890e+07 5.9195944085328162e+07 5.9218795774001241e+07 5.9246624038902208e+07 5.9280641566140458e+07 5.9322488204890706e+07 5.9373689193933770e+07 5.9435824309321858e+07 5.9510787811498158e+07 5.9600836266386434e+07 5.9708557870469250e+07 5.9836973677660979e+07 5.9989756236869723e+07 6.0171304958483204e+07 6.0386815464230932e+07 6.0642392164525285e+07 6.0945207812584415e+07 6.1303756435734719e+07 6.1729227646330819e+07 6.2240671349508777e+07 6.2862246858313873e+07 6.3607882917675711e+07 6.4490011510988317e+07 6.5529065199493662e+07 6.6751257738445945e+07 6.8187361641839564e+07 6.9873013014738783e+07 7.1849319210518330e+07 7.4163533779266492e+07 7.6869752818551645e+07 8.0029597748442590e+07 8.3712813799487159e+07 8.7997715940971762e+07 9.2971338788320675e+07 9.8729127019083664e+07 1.0537387634687434e+08 1.1362555593275365e+08 1.2316187158951311e+08 1.3411252188463995e+08 1.4658875224430668e+08 1.6066627164961368e+08 1.7636324597391108e+08 1.9361454366975147e+08 2.1224552366831881e+08 2.3195168423962769e+08 2.5228961228998303e+08 2.7268403745970029e+08 2.9250537855103523e+08 3.1114289237393272e+08 3.2801347581055337e+08 3.4269795597984207e+08 3.5498493211518377e+08 3.6485767094365484e+08 3.7247369375658613e+08 3.7809600759552050e+08 3.8206980832511175e+08 3.8471434983041930e+08 3.8635509448372310e+08 3.8723455999594742e+08 3.8759318049604505e+08 3.8758153873214114e+08 3.8731704669177139e+08 3.8690796328695005e+08 3.8639798120352095e+08 3.8581577480484450e+08 3.8520113129069006e+08 3.8454382815456712e+08 3.8387840879269916e+08 3.8320828359323508e+08 3.8255725489336771e+08 3.8192530060356241e+08 3.8129867531329191e+08 3.8069706903817272e+08 3.8012064298143500e+08 3.7954146002005762e+08 3.7912019566293764e+08 3.7869111392330682e+08 3.7825169637330067e+08 3.7779084769632345e+08 3.7731525287587398e+08 3.7680868005685294e+08 3.7630160728592753e+08 3.7572927851601678e+08 3.7511681358851314e+08 3.7445295465742487e+08 3.7372891109391719e+08 3.7293400020342249e+08 3.7205618813309866e+08 3.7107550814160365e+08 3.7000736638920105e+08 3.6879237229912734e+08 3.6743023352331203e+08 3.6590119541489249e+08 3.6418399794978476e+08 3.6225671739545387e+08 3.6009736234238380e+08 3.5767903234663904e+08 3.5501793805175442e+08 3.5204931038061893e+08 3.4879110346512747e+08 3.4525085199266517e+08 3.4145632101900733e+08 3.3745474925424737e+08 3.3333604896828502e+08 3.2923164453382760e+08 3.2537255759161574e+08 3.2201767280610001e+08 3.1960566111673892e+08 3.1873532929707801e+08 3.2028488779533917e+08 3.2552451882771856e+08 3.3637951133760041e+08 3.5589599820716131e+08 3.8922919017594433e+08 3.1960815520367664e+08 +4.0398799599867390e+00 6.0584330638835721e+07 6.0587302979002476e+07 6.0591591388526641e+07 6.0599135823742904e+07 6.0611514446447656e+07 6.0629363421198845e+07 6.0652270341661349e+07 6.0680271111118823e+07 6.0714473020695277e+07 6.0756497654728286e+07 6.0807886121919863e+07 6.0870222748245500e+07 6.0945402398949310e+07 6.1035684567275010e+07 6.1143662043905206e+07 6.1272360374094993e+07 6.1425457802939154e+07 6.1607361236430921e+07 6.1823275233133622e+07 6.2079314379580669e+07 6.2382663133024871e+07 6.2741828613944210e+07 6.3168013973376371e+07 6.3680291171067819e+07 6.4302868494055189e+07 6.5049706280228369e+07 6.5933243572531790e+07 6.6973933532783985e+07 6.8198021015942961e+07 6.9636313447566271e+07 7.1324483990364790e+07 7.3303677966511592e+07 7.5621186080668524e+07 7.8331138178859293e+07 8.1495182334787041e+07 8.5183077852350578e+07 8.9473133854659706e+07 9.4452349123019755e+07 1.0021608950931843e+08 1.0686701191133088e+08 1.1512531796006963e+08 1.2466785176443833e+08 1.3562372478848168e+08 1.4810337920163468e+08 1.6218147689934134e+08 1.7787488938443783e+08 1.9511698389113489e+08 2.1373151699550125e+08 2.3341247080365792e+08 2.5371525748614347e+08 2.7406408396127677e+08 2.9382973284759080e+08 3.1240282929592401e+08 3.2920257919184977e+08 3.4381268825262249e+08 3.5602481338148922e+08 3.6582497177931666e+08 3.7337283007933372e+08 3.7893279347424686e+08 3.8285073801821482e+08 3.8544604149516410e+08 3.8704389841342825e+08 3.8788635072464323e+08 3.8821325328904003e+08 3.8817460761167771e+08 3.8788727782215643e+08 3.8745901895558774e+08 3.8693310036348355e+08 3.8633779803176367e+08 3.8571255755097461e+08 3.8504685957937628e+08 3.8437493779704779e+08 3.8369992782037818e+08 3.8304535062749159e+08 3.8241087807816553e+08 3.8178249698325545e+08 3.8117963321967179e+08 3.8060223823780984e+08 3.8002223067362928e+08 3.7960041174246103e+08 3.7917077953217953e+08 3.7873080440149671e+08 3.7826937325434762e+08 3.7779317802464187e+08 3.7728597503642666e+08 3.7677823471674663e+08 3.7620518330196309e+08 3.7559194488120013e+08 3.7492724734720463e+08 3.7420228893429667e+08 3.7340637341665024e+08 3.7252745169559085e+08 3.7154554087237209e+08 3.7047602128627867e+08 3.6925949047465467e+08 3.6789562857947010e+08 3.6636465592746860e+08 3.6464528556530607e+08 3.6271556598594046e+08 3.6055347792392474e+08 3.5813209566118205e+08 3.5546760675767708e+08 3.5249522107458806e+08 3.4923288932211912e+08 3.4568815573310030e+08 3.4188882052467716e+08 3.3788218223844790e+08 3.3375826703093266e+08 3.2964867383664930e+08 3.2578467686319554e+08 3.2242554470398366e+08 3.2001047987064588e+08 3.1913905547088313e+08 3.2069057872024292e+08 3.2593684445221221e+08 3.3680558431351525e+08 3.5634680158288997e+08 3.8972218135609156e+08 3.1917192393372166e+08 +4.0448482827609968e+00 6.2018722025675148e+07 6.2021526878081165e+07 6.2025539869021408e+07 6.2032734211153992e+07 6.2044781849931285e+07 6.2062462017409101e+07 6.2085423767395645e+07 6.2113596451795049e+07 6.2147982042191103e+07 6.2190183860508099e+07 6.2241758837052032e+07 6.2304295823471576e+07 6.2379690258101605e+07 6.2470204524608470e+07 6.2578435962271780e+07 6.2707414556581639e+07 6.2860824186432540e+07 6.3043079176991418e+07 6.3259392933907777e+07 6.3515890114656009e+07 6.3819766756737448e+07 6.4179542927454062e+07 6.4606435127128154e+07 6.5119537048510298e+07 6.5743105524677113e+07 6.6491132232410230e+07 6.7376063063126296e+07 6.8418371426446661e+07 6.9644332818962708e+07 7.1084789036908418e+07 7.2775449671857387e+07 7.4757497285388231e+07 7.7078258893900931e+07 7.9791897121024847e+07 8.2960085581350669e+07 8.6652596383941069e+07 9.0947731372208968e+07 9.5932451890943691e+07 1.0170204320179074e+08 1.0835902148336123e+08 1.1662380800593325e+08 1.2617239078489797e+08 1.3713329194756940e+08 1.4961614872929791e+08 1.6369457529446751e+08 1.7938414978319782e+08 1.9661674159834662e+08 2.1521451142021137e+08 2.3486993514828029e+08 2.5513726353280869e+08 2.7544019641788900e+08 2.9514989605900812e+08 3.1365836927305341e+08 3.3038713954863626e+08 3.4492279333811933e+08 3.5706004072620708e+08 3.6678764001011753e+08 3.7426739111288697e+08 3.7976508512530082e+08 3.8362726738749731e+08 3.8617343118434161e+08 3.8772849707163876e+08 3.8853402750218165e+08 3.8882929573736632e+08 3.8876372108960605e+08 3.8845361958912599e+08 3.8800624250257421e+08 3.8746443637329817e+08 3.8685607952904522e+08 3.8622027655489433e+08 3.8554621210486215e+08 3.8486781079779983e+08 3.8418793423470736e+08 3.8352982270944649e+08 3.8289284292406827e+08 3.8226271477542585e+08 3.8165860066465205e+08 3.8108024290449828e+08 3.8049941647539216e+08 3.8007704701098728e+08 3.7964686840358222e+08 3.7920633984550351e+08 3.7874433057722396e+08 3.7826753942386580e+08 3.7775971101775217e+08 3.7725130801277280e+08 3.7667753935183764e+08 3.7606353321549952e+08 3.7539800334233105e+08 3.7467213691190630e+08 3.7387522426826543e+08 3.7299520118087053e+08 3.7201206875552708e+08 3.7094118149616146e+08 3.6972312543232739e+08 3.6835755327654541e+08 3.6682466051685756e+08 3.6510313346966624e+08 3.6317099306238836e+08 3.6100619237981123e+08 3.5858178065964055e+08 3.5591392235108423e+08 3.5293780668792957e+08 3.4967138086595356e+08 3.4612219859198755e+08 3.4231809498209357e+08 3.3830642796262074e+08 3.3417733672929990e+08 3.3006259351204664e+08 3.2619372302024215e+08 3.2283037516795731e+08 3.2041227996674454e+08 3.1953977117812413e+08 3.2109324453715372e+08 3.2634609548626423e+08 3.3722848017951977e+08 3.5679424348628122e+08 3.9021149632907921e+08 3.1873498532658929e+08 +4.0498166055352547e+00 6.3452767781396531e+07 6.3455406036314189e+07 6.3459144081141442e+07 6.3465988107147627e+07 6.3477704903233744e+07 6.3495216139279738e+07 6.3518232326690018e+07 6.3546576334326953e+07 6.3581144900663897e+07 6.3623523090941519e+07 6.3675283606231079e+07 6.3738019799737051e+07 6.3813627651448645e+07 6.3904372398676306e+07 6.4012855883329682e+07 6.4142112480174839e+07 6.4295831639478989e+07 6.4478435028949857e+07 6.4695144811796367e+07 6.4952095610975616e+07 6.5256494920152627e+07 6.5616875607435420e+07 6.6044467332830817e+07 6.6558385200106919e+07 6.7182934160393655e+07 6.7932136974906221e+07 6.8818446172347218e+07 6.9862355057984263e+07 7.1090169311236262e+07 7.2532764558721796e+07 7.4225886191704974e+07 7.6210753282473624e+07 7.8534728316795096e+07 8.1252005726117909e+07 8.4424283554265335e+07 8.8121345449257120e+07 9.2421484544721618e+07 9.7411623150490284e+07 1.0318696417890023e+08 1.0984988119456795e+08 1.1812100229533100e+08 1.2767546502777974e+08 1.3864119997218540e+08 1.5112703778196785e+08 1.6520554427904844e+08 1.8089100528932893e+08 1.9811379581049407e+08 2.1669448712324116e+08 2.3632405890030807e+08 2.5655561378625971e+08 2.7681236016572964e+08 2.9646585568049079e+08 3.1490950203978628e+08 3.3156714881827611e+08 3.4602826523113066e+08 3.5809060997219831e+08 3.6774567300907856e+08 3.7515737549395949e+08 3.8059288218366694e+08 3.8439939683394068e+08 3.8689651987961185e+08 3.8840889187662506e+08 3.8917759207246739e+08 3.8944130983008075e+08 3.8934888133853126e+08 3.8901607430514383e+08 3.8854963634812576e+08 3.8799199173467565e+08 3.8737062186018902e+08 3.8672429091244709e+08 3.8604188837404752e+08 3.8535703046043545e+08 3.8467230551660645e+08 3.8401067382843661e+08 3.8337119783455300e+08 3.8273933138323003e+08 3.8213397406393790e+08 3.8155465966996956e+08 3.8097302011061066e+08 3.8055010415057880e+08 3.8011938321589422e+08 3.7967830538063747e+08 3.7921572233742201e+08 3.7873833974329734e+08 3.7822989066642684e+08 3.7772082983528322e+08 3.7714634932333583e+08 3.7653158124536729e+08 3.7586522529146570e+08 3.7513845767091686e+08 3.7434055539684761e+08 3.7345943922099906e+08 3.7247509441567266e+08 3.7140284963749397e+08 3.7018327978154343e+08 3.6881601021430403e+08 3.6728121177089709e+08 3.6555754423927253e+08 3.6362300118665063e+08 3.6145550825748587e+08 3.5902808987152857e+08 3.5635688734332192e+08 3.5337706971134937e+08 3.5010658056436473e+08 3.4655298301162398e+08 3.4274414680653697e+08 3.3872748881469560e+08 3.3459326042128193e+08 3.3047340588884789e+08 3.2659969836445534e+08 3.2323216647657049e+08 3.2081106366540140e+08 3.1993747867385024e+08 3.2149288751178879e+08 3.2675227423296624e+08 3.3764820131525409e+08 3.5723832643476343e+08 3.9069713784837669e+08 3.1829734673024845e+08 +4.0547849283095125e+00 6.4886445434374824e+07 6.4888916333603524e+07 6.4892380032599591e+07 6.4898874043545194e+07 6.4910259918198176e+07 6.4927602130155548e+07 6.4950672365382046e+07 6.4979187101596236e+07 6.5013937935972497e+07 6.5056491684070900e+07 6.5108436765673652e+07 6.5171371011238515e+07 6.5247190910951950e+07 6.5338164519365549e+07 6.5446898134361252e+07 6.5576430469618015e+07 6.5730456483997509e+07 6.5913405111073144e+07 6.6130507182032324e+07 6.6387907179747075e+07 6.6692823930125341e+07 6.7053802955605164e+07 6.7482086886325628e+07 6.7996811915227115e+07 6.8622330682743967e+07 6.9372696780089065e+07 7.0260369162324518e+07 7.1305860677560419e+07 7.2535506730057538e+07 7.3980216235978648e+07 7.5675769757552683e+07 7.7663422149437726e+07 7.9990570524844423e+07 8.2711440154114902e+07 8.5887752400176153e+07 8.9589301186064720e+07 9.3894369508209080e+07 9.8889839047428802e+07 1.0467082861373200e+08 1.1133956727086371e+08 1.1961687715116213e+08 1.2917705097249247e+08 1.4014742558110678e+08 1.5263602342829332e+08 1.6671436141773424e+08 1.8239543414785627e+08 1.9960812567901018e+08 2.1817142442376798e+08 2.3777482382964715e+08 2.5797029174941090e+08 2.7818056068745434e+08 2.9777759935255480e+08 3.1615621747158253e+08 3.3274259907311779e+08 3.4712909805359483e+08 3.5911651706047159e+08 3.6869906825967056e+08 3.7604278196208197e+08 3.8141618437753117e+08 3.8516712684816372e+08 3.8761530864633238e+08 3.8908508432387614e+08 3.8981704625341344e+08 3.9004929762659633e+08 3.8993009060051835e+08 3.8957464434989303e+08 3.8908920297663766e+08 3.8851576901200157e+08 3.8788142764992994e+08 3.8722460329278600e+08 3.8653389108980244e+08 3.8584259951097536e+08 3.8515304440591890e+08 3.8448790673278910e+08 3.8384594556099468e+08 3.8321234955854625e+08 3.8260575616762823e+08 3.8202549128055120e+08 3.8144304432176906e+08 3.8101958590094143e+08 3.8058832670671403e+08 3.8014670374114311e+08 3.7968355126486242e+08 3.7920558170930153e+08 3.7869651670595354e+08 3.7818680290452796e+08 3.7761161593203008e+08 3.7699609168186212e+08 3.7632891590124899e+08 3.7560125391201991e+08 3.7480236949725270e+08 3.7392016850509900e+08 3.7293462053521180e+08 3.7186102838353336e+08 3.7063995618734729e+08 3.6927100204815847e+08 3.6773431233413678e+08 3.6600852050588632e+08 3.6407159297765356e+08 3.6190142815946114e+08 3.5947102588260615e+08 3.5679650430030853e+08 3.5381301268938094e+08 3.5053849093784875e+08 3.4698051148719871e+08 3.4316697846583742e+08 3.3914536723327118e+08 3.3500604051657528e+08 3.3088111334618461e+08 3.2700260524744165e+08 3.2363092095685583e+08 3.2120683327693695e+08 3.2033218026144457e+08 3.2188950995933092e+08 3.2715538304438978e+08 3.3806475015167332e+08 3.5767905300062501e+08 3.9117910872707027e+08 3.1785901547045004e+08 +4.0597532510837704e+00 6.6319730854886971e+07 6.6322035097461663e+07 6.6325224121398464e+07 6.6331368184264719e+07 6.6342423324031606e+07 6.6359596414373226e+07 6.6382720299848884e+07 6.6411405166432254e+07 6.6446337558067784e+07 6.6489066047605343e+07 6.6541194721481018e+07 6.6604325862074293e+07 6.6680356438491940e+07 6.6771557286431201e+07 6.6880539112757988e+07 6.7010344919694789e+07 6.7164675111954346e+07 6.7347965812350124e+07 6.7565456430324018e+07 6.7823301202832758e+07 6.8128730164169833e+07 6.8490301344546482e+07 6.8919270154698119e+07 6.9434793554660320e+07 7.0061271445101395e+07 7.0812787992624879e+07 7.1701808367656291e+07 7.2748864608768553e+07 7.3980321386596069e+07 7.5427120366206720e+07 7.7125076652826488e+07 7.9115480154639944e+07 8.1445761771468431e+07 8.4170176644430041e+07 8.7350468346913800e+07 9.1056439815144271e+07 9.5366362483838379e+07 1.0036707581545699e+08 1.0615361277025151e+08 1.1282805603214723e+08 1.2111140899500512e+08 1.3067712520220479e+08 1.4165194560133460e+08 1.5414308285102051e+08 1.6822100439519417e+08 1.8389741473055002e+08 2.0109971048786685e+08 2.1964530377843192e+08 2.3922221184883991e+08 2.5938128107032430e+08 2.7954478361269414e+08 2.9908511486049616e+08 3.1739850558493745e+08 3.3391348252062130e+08 3.4822528605552083e+08 3.6013775805149859e+08 3.6964782335555816e+08 3.7692360935892355e+08 3.8223499153086936e+08 3.8593045800722712e+08 3.8832979863161498e+08 3.8975707598790580e+08 3.9045239193710178e+08 3.9065326125714016e+08 3.9050735118448901e+08 3.9012933216868621e+08 3.8962494493636447e+08 3.8903577083241588e+08 3.8838849958471572e+08 3.8772121642757386e+08 3.8702222301436144e+08 3.8632452073323536e+08 3.8563015370154476e+08 3.8496152422855872e+08 3.8431708891361028e+08 3.8368177211056334e+08 3.8307394978298837e+08 3.8249274054099327e+08 3.8190949190944052e+08 3.8148549505965787e+08 3.8105370166958892e+08 3.8061153771740425e+08 3.8014782014769667e+08 3.7966926810652000e+08 3.7915959191643244e+08 3.7864922999715567e+08 3.7807334195065951e+08 3.7745706729260665e+08 3.7678907793444979e+08 3.7606052839252478e+08 3.7526066932149923e+08 3.7437739177833283e+08 3.7339064985164261e+08 3.7231572046503544e+08 3.7109315737130034e+08 3.6972253148874259e+08 3.6818396490671962e+08 3.6645606495724362e+08 3.6451677110772008e+08 3.6234395474268740e+08 3.5991059133141184e+08 3.5723277584159219e+08 3.5424563821971643e+08 3.5096711456047451e+08 3.4740478656627780e+08 3.4358659247943544e+08 3.3956006570830202e+08 3.3541567947368872e+08 3.3128571831389862e+08 3.2740244607042336e+08 3.2402664098484194e+08 3.2159959115958709e+08 3.2072387829274416e+08 3.2228311424213010e+08 3.2755542432301301e+08 3.3847812917085940e+08 3.5811642580984044e+08 3.9165741183748150e+08 3.1741999885069269e+08 +4.0647215738580282e+00 6.7752600490460634e+07 6.7754737601221412e+07 6.7757652365851730e+07 6.7763446990940928e+07 6.7774171669092983e+07 6.7791175490907028e+07 6.7814352616573483e+07 6.7843207011762694e+07 6.7878320247615829e+07 6.7921222659446329e+07 6.7973533949943081e+07 6.8036860826612994e+07 6.8113100706335440e+07 6.8204527170000628e+07 6.8313755286316231e+07 6.8443832295788869e+07 6.8598463986124009e+07 6.8782093592575893e+07 6.8999969013078541e+07 6.9258254132962480e+07 6.9564190070871383e+07 6.9926347218249381e+07 7.0355993576580837e+07 7.0872306550942332e+07 7.1499732873025283e+07 7.2252387029655516e+07 7.3142740196077049e+07 7.4191343248697564e+07 7.5424589666316822e+07 7.6873453322509438e+07 7.8573783236804307e+07 8.0566903643507659e+07 8.2900278388278395e+07 8.5628191516220316e+07 8.8812407703828901e+07 9.2522737640698031e+07 9.6837439778864518e+07 1.0184330977677113e+08 1.0763529300381444e+08 1.1431532389340632e+08 1.2260457434705074e+08 1.3217566440313572e+08 1.4315473696848246e+08 1.5564819334741876e+08 1.6972545101655528e+08 1.8539692553577459e+08 2.0258852965381786e+08 2.2111610578271866e+08 2.4066620501261491e+08 2.6078856554221842e+08 2.8090501471621513e+08 3.0038839013427937e+08 3.1863635653699160e+08 3.3507979150279111e+08 3.4931682361296028e+08 3.6115432912402356e+08 3.7059193600025606e+08 3.7779985662663895e+08 3.8304930356100208e+08 3.8668939097648460e+08 3.8903999106446296e+08 3.9042486851925951e+08 3.9108363108885616e+08 3.9125320292207158e+08 3.9108066546815395e+08 3.9068014027160043e+08 3.9015686483926773e+08 3.8955199988504034e+08 3.8889184041231275e+08 3.8821413310733896e+08 3.8750688697010463e+08 3.8680279697156364e+08 3.8610363626050305e+08 3.8543152918080044e+08 3.8478463076007146e+08 3.8414760190668064e+08 3.8353855777557009e+08 3.8295641031289387e+08 3.8237236573137730e+08 3.8194783448147404e+08 3.8151551095634407e+08 3.8107281015832675e+08 3.8060853183058769e+08 3.8012940177590179e+08 3.7961911913510209e+08 3.7910811394659179e+08 3.7853153020806760e+08 3.7791451090257645e+08 3.7724571421085286e+08 3.7651628392718148e+08 3.7571545767774343e+08 3.7483111184220266e+08 3.7384318515934199e+08 3.7276692866801947e+08 3.7154288610974282e+08 3.7017060130371630e+08 3.6863017224379021e+08 3.6690018033512586e+08 3.6495853830525047e+08 3.6278309071885061e+08 3.6034678891171110e+08 3.5766570464060867e+08 3.5467494895290661e+08 3.5139245405825138e+08 3.4782581084870565e+08 3.4400299141901398e+08 3.3997158678064561e+08 3.3582217980333835e+08 3.3168722327049208e+08 3.2779922328314573e+08 3.2441932898569268e+08 3.2198933972008193e+08 3.2111257516789055e+08 3.2267370277285057e+08 3.2795240051988196e+08 3.3888834090568751e+08 3.5855044754204911e+08 3.9213205011039799e+08 3.1698030415219182e+08 +4.0696898966322861e+00 6.9185030605360791e+07 6.9187002420959949e+07 6.9189642052763864e+07 6.9195087283582792e+07 6.9205481525115475e+07 6.9222315924200639e+07 6.9245545871576950e+07 6.9274569191013485e+07 6.9309862556162804e+07 6.9352938068060935e+07 6.9405430997941703e+07 6.9468952449772611e+07 6.9545400257365718e+07 6.9637050711136341e+07 6.9746523193734124e+07 6.9876869134087399e+07 7.0031799640128642e+07 7.0215764982507154e+07 7.0434021458028793e+07 7.0692742494390115e+07 7.0999180170466915e+07 7.1361917092396170e+07 7.1792233662593380e+07 7.2309327408983797e+07 7.2937691464621454e+07 7.3691470381475985e+07 7.4583141128813580e+07 7.5633273068578452e+07 7.6868288029511273e+07 7.8319191553064033e+07 8.0021865945303619e+07 8.2017669039026946e+07 8.4354096785924718e+07 8.7085461168957904e+07 9.0273546862099260e+07 9.3988171050796613e+07 9.8307577786259204e+07 1.0331851734198089e+08 1.0911584576131038e+08 1.1580134736427209e+08 1.2409634982707895e+08 1.3367264536540863e+08 1.4465577672729665e+08 1.5715133232891142e+08 1.7122767920685634e+08 1.8689394518810764e+08 2.0407456272616157e+08 2.2258381116953442e+08 2.4210678551858339e+08 2.6219212910437864e+08 2.8226123992002833e+08 3.0168741324839777e+08 3.1986976062547958e+08 3.3624151849629366e+08 3.5040370522913855e+08 3.6216622657412189e+08 3.7153140400634736e+08 3.7867152280948216e+08 3.8385912047903621e+08 3.8744392650852507e+08 3.8974588725634909e+08 3.9108846364591926e+08 3.9171076574687612e+08 3.9184912489150125e+08 3.9165003589507854e+08 3.9122707123453695e+08 3.9068496536119527e+08 3.9006445892105168e+08 3.8939145294086146e+08 3.8870335618286514e+08 3.8798788583796674e+08 3.8727743112708408e+08 3.8657349499766970e+08 3.8589792451164508e+08 3.8524857402485979e+08 3.8460984187147635e+08 3.8399958306687784e+08 3.8341650351507854e+08 3.8283166870259392e+08 3.8240660707804018e+08 3.8197375747575909e+08 3.8153052396889055e+08 3.8106568921472132e+08 3.8058598561538005e+08 3.8007510125597328e+08 3.7956345764286613e+08 3.7898618359007251e+08 3.7836842539272457e+08 3.7769882760625362e+08 3.7696852338595402e+08 3.7616673743032914e+08 3.7528133155432928e+08 3.7429222930822718e+08 3.7321465583443248e+08 3.7198914523613405e+08 3.7061521431448215e+08 3.6907293715559524e+08 3.6734086943694073e+08 3.6539689735217357e+08 3.6321883885358047e+08 3.6077962137002450e+08 3.5809529342417270e+08 3.5510094759329945e+08 3.5181451211036730e+08 3.4824358698600537e+08 3.4441617790652502e+08 3.4037993304253352e+08 3.3622554406572145e+08 3.3208563074497151e+08 3.2819293938464528e+08 3.2480898743224031e+08 3.2237608141314280e+08 3.2149827333479118e+08 3.2306127801101798e+08 3.2834631413506508e+08 3.3929538793973511e+08 3.5898112093085784e+08 3.9260302653555071e+08 3.1653993863384575e+08 +4.0746582194065439e+00 7.0616999146466002e+07 7.0618803003504530e+07 7.0621169300509468e+07 7.0626265513511419e+07 7.0636329479698613e+07 7.0652994339561686e+07 7.0676276690456703e+07 7.0705468328301802e+07 7.0740941106552348e+07 7.0784188892942622e+07 7.0836862483567372e+07 7.0900577347770184e+07 7.0977231705637708e+07 7.1069104521952868e+07 7.1178819444875091e+07 7.1309432042204991e+07 7.1464658679040223e+07 7.1648956584582224e+07 7.1867590364546627e+07 7.2126742882996708e+07 7.2433677055058241e+07 7.2796987554771081e+07 7.3227966995700285e+07 7.3745832706335887e+07 7.4375123791074961e+07 7.5130014611669675e+07 7.6022987721005574e+07 7.7074630614091024e+07 7.8311393011394337e+07 7.9764311582111344e+07 8.1469301290825441e+07 8.3467752841951072e+07 8.5807193453883111e+07 8.8541962082461223e+07 9.1733862295090660e+07 9.5452716517727003e+07 9.9776752985691175e+07 1.0479267501102419e+08 1.1059524758173268e+08 1.1728610304997349e+08 1.2558671215371838e+08 1.3516804498315001e+08 1.4615504203144810e+08 1.5865247732194144e+08 1.7272766701257190e+08 1.8838845243919089e+08 2.0555778938656446e+08 2.2404840081025377e+08 2.4354393570623115e+08 2.6359195584000632e+08 2.8361344529081750e+08 3.0298217242102683e+08 3.2109870828737420e+08 3.3739865610957623e+08 3.5148592553217089e+08 3.6317344681585866e+08 3.7246622529485834e+08 3.7953860705147052e+08 3.8466444238845557e+08 3.8819406544172901e+08 3.9044748859853542e+08 3.9174786317231923e+08 3.9233379802226013e+08 3.9244102950568676e+08 3.9221546497736406e+08 3.9177012769816285e+08 3.9120924924094987e+08 3.9057315075388879e+08 3.8988734003885573e+08 3.8918888856429154e+08 3.8846522255775201e+08 3.8774842616028088e+08 3.8703973288603008e+08 3.8636071320083570e+08 3.8570892169097322e+08 3.8506849498707086e+08 3.8445702863622016e+08 3.8387302312303585e+08 3.8328740379423016e+08 3.8286181581767511e+08 3.8242844419221342e+08 3.8198468211036962e+08 3.8151929525824147e+08 3.8103902257897305e+08 3.8052754122917604e+08 3.8001526403252816e+08 3.7943730503908020e+08 3.7881881370001626e+08 3.7814842105274296e+08 3.7741724969523793e+08 3.7661451149891627e+08 3.7572805382765639e+08 3.7473778520371956e+08 3.7365890486102563e+08 3.7243193763701963e+08 3.7105637339785755e+08 3.6951226250685042e+08 3.6777813511387819e+08 3.6583185108490419e+08 3.6365120196611315e+08 3.6120909150704265e+08 3.5852154497160071e+08 3.5552363689718246e+08 3.5223329144755429e+08 3.4865811768149489e+08 3.4482615461554623e+08 3.4078510713578773e+08 3.3662577487039173e+08 3.3248094331455505e+08 3.2858359692259759e+08 3.2519561884605080e+08 3.2275981874081194e+08 3.2188097528917760e+08 3.2344584246413052e+08 3.2873716771716189e+08 3.3969927290696579e+08 3.5940844876263237e+08 3.9307034416014862e+08 3.1609890953220612e+08 +4.0796265421808018e+00 7.2048480741158575e+07 7.2050118529950395e+07 7.2052211307824805e+07 7.2056958513343439e+07 7.2066692160103992e+07 7.2083187425293535e+07 7.2106521768722430e+07 7.2135881118748769e+07 7.2171532593335629e+07 7.2214951824956402e+07 7.2267805096238047e+07 7.2331712208182141e+07 7.2408571736812383e+07 7.2500665286139086e+07 7.2610620721446916e+07 7.2741497699535131e+07 7.2897017779844522e+07 7.3081645073030233e+07 7.3300652404046476e+07 7.3560231966972008e+07 7.3867657389244482e+07 7.4231535265811950e+07 7.4663170231701821e+07 7.5181799093556687e+07 7.5812006496928602e+07 7.6567996357729390e+07 7.7462256601991341e+07 7.8515392505716622e+07 7.9753881222838596e+07 8.1208790010129958e+07 8.2916065863204688e+07 8.4917131631298795e+07 8.7259544961161479e+07 8.9997670817759722e+07 9.3193330558864683e+07 9.6916350598303735e+07 1.0124494194347510e+08 1.0626575937290536e+08 1.1207347509622270e+08 1.1876956765126546e+08 1.2707563814564776e+08 1.3666184025492948e+08 1.4765251014403555e+08 1.6015160596773553e+08 1.7422539260063484e+08 1.8988042616735104e+08 2.0703818944960275e+08 2.2550985571405584e+08 2.4497763805769524e+08 2.6498802997790933e+08 2.8496161704110456e+08 3.0427265601381081e+08 3.2232319009937817e+08 3.3855119708603656e+08 3.5256347927646482e+08 3.6417598637937301e+08 3.7339639789524472e+08 3.8040110859638536e+08 3.8546526948614174e+08 3.8893980870145702e+08 3.9114479656362659e+08 3.9240306897839534e+08 3.9295273009827769e+08 3.9302891917273360e+08 3.9277695529185534e+08 3.9230931236689818e+08 3.9172971927896488e+08 3.9107807825690919e+08 3.9037950463549215e+08 3.8967073322145355e+08 3.8893890012779522e+08 3.8821578508930349e+08 3.8750235295586729e+08 3.8681989828508770e+08 3.8616567679735398e+08 3.8552356429120296e+08 3.8491089751943332e+08 3.8432597216867566e+08 3.8373957403460509e+08 3.8331346372469884e+08 3.8287957412730306e+08 3.8243528760015988e+08 3.8196935297534001e+08 3.8148851567695516e+08 3.8097644206078368e+08 3.8046353611741143e+08 3.7988489755164582e+08 3.7926567881675029e+08 3.7859449753717065e+08 3.7786246583633178e+08 3.7705878285875106e+08 3.7617128163013983e+08 3.7517985580550635e+08 3.7409967869983643e+08 3.7287126625534916e+08 3.7149408148561811e+08 3.6994815121715063e+08 3.6821198027132505e+08 3.6626340239323133e+08 3.6408018292923206e+08 3.6163520217658085e+08 3.5894446211551160e+08 3.5594301967323774e+08 3.5264879485236222e+08 3.4906940568924075e+08 3.4523292427019876e+08 3.4118711175243253e+08 3.3702287487671828e+08 3.3287316360619259e+08 3.2897119849271566e+08 3.2557922579610813e+08 3.2314055425318283e+08 3.2226068357352018e+08 3.2382739868741268e+08 3.2912496386324430e+08 3.4009999849055535e+08 3.5983243387655962e+08 3.9353400608985567e+08 3.1565722406144649e+08 +4.0845948649550596e+00 7.3479453660188287e+07 7.3480925012353539e+07 7.3482744786163732e+07 7.3487143065464914e+07 7.3496546318186805e+07 7.3512871939076439e+07 7.3536257873160452e+07 7.3565784329040304e+07 7.3601613782749221e+07 7.3645203626817718e+07 7.3698235597323760e+07 7.3762333790577725e+07 7.3839397108580157e+07 7.3931709759557262e+07 7.4041903777071580e+07 7.4173042857558861e+07 7.4328853691772506e+07 7.4513807194532827e+07 7.4733184320297822e+07 7.4993186486979708e+07 7.5301097910188153e+07 7.5665536958951339e+07 7.6097820099605143e+07 7.6617203294752046e+07 7.7248316300509676e+07 7.8005392331325248e+07 7.8900924476013735e+07 7.9955535439280286e+07 8.1195729350727215e+07 8.2652603514383033e+07 8.4362136329719722e+07 8.6365782064840496e+07 8.8711127956867203e+07 9.1452564016904056e+07 9.4651928292482838e+07 9.8379049934080720e+07 1.0271212131311879e+08 1.0773774710642800e+08 1.1355050502855450e+08 1.2025171796480989e+08 1.2856310472149566e+08 1.3815400828352115e+08 1.4914815843793693e+08 1.6164869602270919e+08 1.7572083425866464e+08 1.9136984537783217e+08 2.0851574286260048e+08 2.2696815702785954e+08 2.4640787519684815e+08 2.6638033589147392e+08 2.8630574152848101e+08 3.0555885253171754e+08 3.2354319677684242e+08 3.3969913430084425e+08 3.5363636134026480e+08 3.6517384191178042e+08 3.7432191994447935e+08 3.8125902678817749e+08 3.8626160206031018e+08 3.8968115729752260e+08 3.9183781270370412e+08 3.9305408302060652e+08 3.9356756422952539e+08 3.9361279637065303e+08 3.9333450948281825e+08 3.9284462800962985e+08 3.9224637833866614e+08 3.9157924436533636e+08 3.9086794971896458e+08 3.9014889318186021e+08 3.8940892160403556e+08 3.8867951098932755e+08 3.8796135829432052e+08 3.8727548285826379e+08 3.8661884243968999e+08 3.8597505287876004e+08 3.8536119280828738e+08 3.8477535374087834e+08 3.8418818250694352e+08 3.8376155387993759e+08 3.8332715035802847e+08 3.8288234351219654e+08 3.8241586543542635e+08 3.8193446797514510e+08 3.8142180681237763e+08 3.8090827695549887e+08 3.8032896418183017e+08 3.7970902379159510e+08 3.7903706010256213e+08 3.7830417484626895e+08 3.7749955454044622e+08 3.7661101798528486e+08 3.7561844412949753e+08 3.7453698035772008e+08 3.7330713408743262e+08 3.7192834156307405e+08 3.7038060625882196e+08 3.6864240786868489e+08 3.6669155422062171e+08 3.6450578466916162e+08 3.6205795628433776e+08 3.5936404774057972e+08 3.5635909878160292e+08 3.5306102515909415e+08 3.4947745381513298e+08 3.4563648964507300e+08 3.4158594963466084e+08 3.3741684679324448e+08 3.3326229429477203e+08 3.2935574673884881e+08 3.2595981089907801e+08 3.2351829054730797e+08 3.2263740077784044e+08 3.2420594928360343e+08 3.2950970521840227e+08 3.4049756742372400e+08 3.6025307916441989e+08 3.9399401548752654e+08 3.1521488941333342e+08 +4.0895631877293175e+00 7.4909894495752066e+07 7.4911199357866362e+07 7.4912745926326409e+07 7.4916795479003951e+07 7.4925868866893336e+07 7.4942024716448829e+07 7.4965461841872409e+07 7.4995154797707051e+07 7.5031161512916192e+07 7.5074921133515775e+07 7.5128130820556477e+07 7.5192418926826015e+07 7.5269684650904894e+07 7.5362214770345435e+07 7.5472645437933683e+07 7.5604044340389535e+07 7.5760143236575931e+07 7.5945419768519655e+07 7.6165162930205196e+07 7.6425583257014126e+07 7.6733975428460032e+07 7.7098969440809295e+07 7.7531893401998371e+07 7.8052022107970253e+07 7.8684029994446740e+07 7.9442179318584070e+07 8.0338968122104794e+07 8.1395036186212882e+07 8.2636914157970741e+07 8.4095728849083662e+07 8.5807489435816392e+07 8.7813680879284605e+07 9.0161919170084104e+07 9.2906618403878912e+07 9.6109632218264699e+07 9.9840791252141744e+07 1.0417826783546053e+08 1.0920861498054880e+08 1.1502631419546640e+08 1.2173253088345449e+08 1.3004908889993489e+08 1.3964452627679843e+08 1.5064196439563179e+08 1.6314372535828465e+08 1.7721397039571840e+08 1.9285668920277712e+08 2.0999042970540825e+08 2.2842328603666645e+08 2.4783462988955405e+08 2.6776885809812078e+08 2.8764580525529426e+08 3.0684075062287897e+08 3.2475871917400056e+08 3.4084246076172292e+08 3.5470456672719520e+08 3.6616701017559880e+08 3.7524278968680364e+08 3.8211236106925219e+08 3.8705344049146003e+08 3.9041811232638931e+08 3.9252653865167314e+08 3.9370090732934910e+08 3.9417830274271953e+08 3.9419266364509469e+08 3.9388813025960672e+08 3.9337607745873505e+08 3.9275922934610569e+08 3.9207665207423472e+08 3.9135267833729672e+08 3.9062337153265494e+08 3.8987529010099745e+08 3.8913960699312979e+08 3.8841675204572427e+08 3.8772747006999916e+08 3.8706842176969916e+08 3.8642296390027791e+08 3.8580791765044796e+08 3.8522117098292297e+08 3.8463323235119462e+08 3.8420608941935968e+08 3.8377117601662225e+08 3.8332585297531670e+08 3.8285883576350081e+08 3.8237688259480399e+08 3.8186363860115850e+08 3.8134948965951037e+08 3.8076950803686458e+08 3.8014885172729945e+08 3.7947611184644896e+08 3.7874237981635886e+08 3.7793682962832141e+08 3.7704726597067744e+08 3.7605355324496084e+08 3.7497081289492166e+08 3.7373954418392247e+08 3.7235915666949892e+08 3.7080963065955967e+08 3.6906942091831726e+08 3.6711630956428063e+08 3.6492801016432750e+08 3.6247735678896588e+08 3.5978030478339237e+08 3.5677187713531035e+08 3.5346998525286460e+08 3.4988226491485721e+08 3.4603685356477910e+08 3.4198162357419568e+08 3.3780769337765974e+08 3.3364833810396165e+08 3.2973724435276502e+08 3.2633737681836116e+08 3.2389303026698321e+08 3.2301112953899187e+08 3.2458149690187961e+08 3.2989139447522295e+08 3.4089198248931050e+08 3.6067038757034850e+08 3.9445037557256305e+08 3.1477191275719720e+08 +4.0945315105035753e+00 7.6339779310941011e+07 7.6340918676642582e+07 7.6342191474393815e+07 7.6345893112295285e+07 7.6354636787512437e+07 7.6370622673459813e+07 7.6394110584770069e+07 7.6423969435794622e+07 7.6460152694385499e+07 7.6504081252889648e+07 7.6557467672163278e+07 7.6621944521476567e+07 7.6699411266546249e+07 7.6792157219496295e+07 7.6902822603188530e+07 7.7034479045093730e+07 7.7190863309144244e+07 7.7376459687481284e+07 7.7596565123634383e+07 7.7857399163985118e+07 7.8166266827989936e+07 7.8531809592042759e+07 7.8965367015354067e+07 7.9486232405240431e+07 8.0119124445914179e+07 8.0878334180972651e+07 8.1776364395022184e+07 8.2833871593979672e+07 8.4077412484373361e+07 8.5538142845987961e+07 8.7252102005125657e+07 8.9260804890837923e+07 9.1611895410734802e+07 9.4359810784515619e+07 9.7566419142251760e+07 1.0130155136498034e+08 1.0564335833924052e+08 1.1067833985420968e+08 1.1650087950688040e+08 1.2321198339674474e+08 1.3153356780043899e+08 1.4113337154748392e+08 1.5213390560957766e+08 1.6463667196170431e+08 1.7870477954175517e+08 1.9434093690163454e+08 2.1146223019074413e+08 2.2987522416313946e+08 2.4925788504354569e+08 2.6915358125951654e+08 2.8898179486772215e+08 3.0811833907711262e+08 3.2596974828288287e+08 3.4198116960733598e+08 3.5576809056431633e+08 3.6715548804896218e+08 3.7615900547296178e+08 3.8296111098057675e+08 3.8784078525087893e+08 3.9115067496784806e+08 3.9321097611902094e+08 3.9434354401102805e+08 3.9478494803523958e+08 3.9476852360975963e+08 3.9443782039715165e+08 3.9390366361007553e+08 3.9326827528723145e+08 3.9257030443960279e+08 3.9183369359684837e+08 3.9109417141788185e+08 3.9033800878988463e+08 3.8959607628993720e+08 3.8886853740993369e+08 3.8817586312666488e+08 3.8751441799562788e+08 3.8686730056237876e+08 3.8625107524912030e+08 3.8566342709449911e+08 3.8507472676220661e+08 3.8464707353455913e+08 3.8421165429122984e+08 3.8376581917382741e+08 3.8329826714039278e+08 3.8281576271227735e+08 3.8230194059897625e+08 3.8178717739710009e+08 3.8120653228015596e+08 3.8058516578158414e+08 3.7991165592074054e+08 3.7917708389280921e+08 3.7837061126248503e+08 3.7748002871809727e+08 3.7648518627494609e+08 3.7540117942687047e+08 3.7416849964982611e+08 3.7278652989817679e+08 3.7123522749888968e+08 3.6949302248604852e+08 3.6753767147330654e+08 3.6534686244648486e+08 3.6289340670218629e+08 3.6019323623300850e+08 3.5718135769749838e+08 3.5387567807013631e+08 3.5028384189473307e+08 3.4643401890359074e+08 3.4237413641144389e+08 3.3819541743570346e+08 3.3403129780477405e+08 3.3011569407350963e+08 3.2671192626543719e+08 3.2426477610249823e+08 3.2338187253988296e+08 3.2495404423831153e+08 3.3027003437444383e+08 3.4128324651910442e+08 3.6108436209024179e+08 3.9490308962176692e+08 3.1432830123990399e+08 +4.0994998332778332e+00 7.7769085500405312e+07 7.7770059662852064e+07 7.7771059580659911e+07 7.7774413163307145e+07 7.7782827065774858e+07 7.7798642800285161e+07 7.7822181083145306e+07 7.7852205227048621e+07 7.7888564310212016e+07 7.7932660965751797e+07 7.7986223131668001e+07 7.8050887552201092e+07 7.8128553931558609e+07 7.8221514081112534e+07 7.8332412245127305e+07 7.8464323941918820e+07 7.8620990877759486e+07 7.8806903917507201e+07 7.9027367864245474e+07 7.9288611169006139e+07 7.9597949066747457e+07 7.9964034367151141e+07 8.0398217890752733e+07 8.0919811133599356e+07 8.1553576597041905e+07 8.2313833855077714e+07 8.3213090225350976e+07 8.4272018586488888e+07 8.5517201246743932e+07 8.6979822414673522e+07 8.8695950939944565e+07 9.0707130995246038e+07 9.3061033569541752e+07 9.5812118047146156e+07 9.9022265954465643e+07 1.0276130717117842e+08 1.0710736974142466e+08 1.1214689867738900e+08 1.1797417796635994e+08 1.2469005259086396e+08 1.3301651864318892e+08 1.4262052151375142e+08 1.5362395978262106e+08 1.6612751393558744e+08 1.8019324034827840e+08 1.9582256786048123e+08 2.1293112466388011e+08 2.3132395296760154e+08 2.5067762370792809e+08 2.7053449018145198e+08 2.9031369715731335e+08 3.0939160682703328e+08 3.2717627523313391e+08 3.4311525410869581e+08 3.5682692810192800e+08 3.6813927252448678e+08 3.7707056576033974e+08 3.8380527616174412e+08 3.8862363690057367e+08 3.9187884648732418e+08 3.9389112689597684e+08 3.9498199524579853e+08 3.9538750257492578e+08 3.9534037894585985e+08 3.9498358273563564e+08 3.9442738942222625e+08 3.9377351921084273e+08 3.9306020457636863e+08 3.9231099866354400e+08 3.9156129604054463e+08 3.9079708089893329e+08 3.9004892212574589e+08 3.8931671764392781e+08 3.8862066528986251e+08 3.8795683437983263e+08 3.8730806612652516e+08 3.8669066886300308e+08 3.8610212533005971e+08 3.8551266898972338e+08 3.8508450947159362e+08 3.8464858842456329e+08 3.8420224534621185e+08 3.8373416280043483e+08 3.8325111155791640e+08 3.8273671603239727e+08 3.8222134339103425e+08 3.8164004012908196e+08 3.8101796916676337e+08 3.8034369553214198e+08 3.7960829027603865e+08 3.7880090263588721e+08 3.7790930941380852e+08 3.7691334639827836e+08 3.7582808312136996e+08 3.7459400364247662e+08 3.7321046439556390e+08 3.7165739991049272e+08 3.6991321569064885e+08 3.6795564304960531e+08 3.6576234459858465e+08 3.6330610908593994e+08 3.6060284512891823e+08 3.5758754348278791e+08 3.5427810659734762e+08 3.5068218771113056e+08 3.4682798858572489e+08 3.4276349103586775e+08 3.3858002182161242e+08 3.3441117621658486e+08 3.3049109868717635e+08 3.2708346199726534e+08 3.2463353079095483e+08 3.2374963250985378e+08 3.2532359403584349e+08 3.3064562770315421e+08 3.4167136239330864e+08 3.6149500577146435e+08 3.9535216096863604e+08 3.1388406198582864e+08 +4.1044681560520910e+00 7.9197791221496135e+07 7.9198599257441878e+07 7.9199326166593686e+07 7.9202332418822303e+07 7.9210416709180355e+07 7.9226062155662343e+07 7.9249650390814498e+07 7.9279839228536204e+07 7.9316373416203097e+07 7.9360637326668903e+07 7.9414374251793891e+07 7.9479225070113972e+07 7.9557089695426062e+07 7.9650262403021529e+07 7.9761391409625754e+07 7.9893556075076580e+07 8.0050502984542504e+07 8.0236729498456508e+07 8.0457548189728960e+07 8.0719196307018161e+07 8.1028999177004665e+07 8.1395620795286208e+07 8.1830423053813189e+07 8.2352735314834818e+07 8.2987363465246886e+07 8.3748655353188306e+07 8.4649122619683236e+07 8.5709454164307237e+07 8.6956257439432591e+07 8.8420744542789608e+07 9.0139013221940756e+07 9.2152636168540493e+07 9.4509310618683919e+07 9.7263517162784114e+07 1.0047714962947343e+08 1.0422003565532103e+08 1.0857027904745460e+08 1.1361426849075973e+08 1.1944618667132992e+08 1.2616671564927162e+08 1.3449791874939042e+08 1.4410595369917080e+08 1.5511210472799730e+08 1.6761622949846807e+08 1.8167933158800322e+08 1.9730156159302866e+08 2.1439709360280427e+08 2.3276945414847109e+08 2.5209382907363224e+08 2.7191156981355536e+08 2.9164149905873328e+08 3.1066054294658929e+08 3.2837829129220974e+08 3.4424470766717589e+08 3.5788107471360523e+08 3.6911836070944452e+08 3.7797746911140734e+08 3.8464485634922564e+08 3.8940199609296709e+08 3.9260262823292857e+08 3.9456699285188240e+08 3.9561626328782421e+08 3.9598596890044397e+08 3.9590823240190148e+08 3.9552542017897266e+08 3.9494725791631705e+08 3.9427496422543812e+08 3.9354635565926117e+08 3.9278459676134455e+08 3.9202474866022938e+08 3.9125250971339887e+08 3.9049814780286425e+08 3.8976129605964661e+08 3.8906187987686580e+08 3.8839567424146569e+08 3.8774526390943915e+08 3.8712670180536491e+08 3.8653726899878985e+08 3.8594706233843690e+08 3.8551840053191364e+08 3.8508198171374267e+08 3.8463513478642035e+08 3.8416652603365785e+08 3.8368293241783077e+08 3.8316796818224573e+08 3.8265199091731000e+08 3.8207003485538942e+08 3.8144726514907891e+08 3.8077223394111484e+08 3.8003600221955919e+08 3.7922770699594623e+08 3.7833511129714620e+08 3.7733803684478921e+08 3.7625152720056552e+08 3.7501605937376732e+08 3.7363096336096704e+08 3.7207615108036900e+08 3.7033000370286298e+08 3.6837022744774157e+08 3.6617445975678444e+08 3.6371546705500865e+08 3.6100913456303746e+08 3.5799043755699539e+08 3.5467727387162226e+08 3.5107730537069732e+08 3.4721876558394516e+08 3.4314969038619155e+08 3.3896150943815106e+08 3.3478797620647895e+08 3.3086346102693379e+08 3.2745198681807142e+08 3.2499929711485285e+08 3.2411441222411591e+08 3.2569014908303171e+08 3.3101817729575461e+08 3.4205633304078537e+08 3.6190232171297020e+08 3.9579759300183040e+08 3.1343920209682816e+08 +4.1094364788263489e+00 8.0625872274359003e+07 8.0626514604425222e+07 8.0626969089126363e+07 8.0629628121142045e+07 8.0637382778868377e+07 8.0652857876274347e+07 8.0676495636227772e+07 8.0706848570726067e+07 8.0743557141525596e+07 8.0787987463999018e+07 8.0841898159339815e+07 8.0906934200309649e+07 8.0984995681611001e+07 8.1078379306917787e+07 8.1189737216874555e+07 8.1322152562814415e+07 8.1479376745714515e+07 8.1665913544662833e+07 8.1887083212112904e+07 8.2149131687773407e+07 8.2459394265788630e+07 8.2826545980588496e+07 8.3261959605291426e+07 8.3784982046205103e+07 8.4420462143919393e+07 8.5182775763967842e+07 8.6084438661419958e+07 8.7146155405229196e+07 8.8394558134211883e+07 8.9860886296680242e+07 9.1581265911853731e+07 9.3597297467274502e+07 9.5956703611911729e+07 9.8713985185608104e+07 1.0193104722629723e+08 1.0567771388890901e+08 1.1003206335119893e+08 1.1508042642654644e+08 1.2091688281323294e+08 1.2764194985269654e+08 1.3597774554155761e+08 1.4558964573297653e+08 1.5659831836965755e+08 1.6910279698490340e+08 1.8316303215543738e+08 1.9877789774001762e+08 2.1586011761858356e+08 2.3421170954101682e+08 2.5350648447284254e+08 2.7328480524840641e+08 2.9296518765040499e+08 3.1192513665143162e+08 3.2957578786350101e+08 3.4536952381370574e+08 3.5893052589501595e+08 3.7009274982464516e+08 3.7887971419432253e+08 3.8547985137658471e+08 3.9017586357006872e+08 3.9332202163724303e+08 3.9523857593370599e+08 3.9624635046503866e+08 3.9658034961950207e+08 3.9647208679310244e+08 3.9606333569662088e+08 3.9546327217523646e+08 3.9477261350048441e+08 3.9402876092232662e+08 3.9325449117174983e+08 3.9248453259414274e+08 3.9170429857512164e+08 3.9094375667878670e+08 3.9020227602469277e+08 3.8949951025991523e+08 3.8883094095341909e+08 3.8817889728248954e+08 3.8755917744437712e+08 3.8696886146451271e+08 3.8637791016738814e+08 3.8594875007021618e+08 3.8551183751066273e+08 3.8506449084213328e+08 3.8459536018344784e+08 3.8411122863118505e+08 3.8359570038333911e+08 3.8307912330655766e+08 3.8249651978392172e+08 3.8187305704806060e+08 3.8119727446172529e+08 3.8046022303158903e+08 3.7965102764322925e+08 3.7875743766117436e+08 3.7775926089861023e+08 3.7667151493881667e+08 3.7543467010706955e+08 3.7404803004584628e+08 3.7249148424643099e+08 3.7074338974599564e+08 3.6878142787351924e+08 3.6658321110755396e+08 3.6412148377476805e+08 3.6141210767721552e+08 3.5839004303538167e+08 3.5507318298001963e+08 3.5146919792832059e+08 3.4760635292042595e+08 3.4353273744873422e+08 3.3933988323525411e+08 3.3516170068750018e+08 3.3123278397245723e+08 3.2781750357791048e+08 3.2536207790350527e+08 3.2447621450407952e+08 3.2605371221462154e+08 3.3138768603330445e+08 3.4243816143880028e+08 3.6230631306465054e+08 3.9623938916662925e+08 3.1299372865221614e+08 +4.1144048016006067e+00 8.2053305755054042e+07 8.2053782731004655e+07 8.2053965738304064e+07 8.2056277233890876e+07 8.2063702482461587e+07 8.2079007189234123e+07 8.2102694024628043e+07 8.2133210457696944e+07 8.2170092689021200e+07 8.2214688580461010e+07 8.2268772055072069e+07 8.2333992142046839e+07 8.2412249087830231e+07 8.2505841988899678e+07 8.2617426861300647e+07 8.2750090597683832e+07 8.2907589352189064e+07 8.3094433245029226e+07 8.3315950118268400e+07 8.3578394495850340e+07 8.3889111515035912e+07 8.4256787102246508e+07 8.4692804721614644e+07 8.5216528500839487e+07 8.5852849802260190e+07 8.6616172252461493e+07 8.7519015510899588e+07 8.8582099464601383e+07 8.9832080481585875e+07 9.1300224821566552e+07 9.3022686150520980e+07 9.5041092028753981e+07 9.7403189685166091e+07 1.0016349925326405e+08 1.0338393588941345e+08 1.0713431903038619e+08 1.1149269983620092e+08 1.1654534970835389e+08 1.2238624367796879e+08 1.2911573257957210e+08 1.3745597654393202e+08 1.4707157535049382e+08 1.5808257874233046e+08 1.7058719484505159e+08 1.8464432106654498e+08 2.0025155606959751e+08 2.1732017745455065e+08 2.3565070111884671e+08 2.5491557337916660e+08 2.7465418172240180e+08 2.9428475015413934e+08 3.1318537729786664e+08 3.3076875648760515e+08 3.4648969621042615e+08 3.5997527726389503e+08 3.7106243720426112e+08 3.7977729978183901e+08 3.8631026117428643e+08 3.9094524016308486e+08 3.9403702821488851e+08 3.9590587816583896e+08 3.9687225917781061e+08 3.9717064740990478e+08 3.9703194500062078e+08 3.9659733232083511e+08 3.9597543534457588e+08 3.9526647026504087e+08 3.9450742365841538e+08 3.9372068523413521e+08 3.9294065121546352e+08 3.9215245088086206e+08 3.9138575216729468e+08 3.9063966096218199e+08 3.8993355986641639e+08 3.8926263794363189e+08 3.8860896967155784e+08 3.8798809920164025e+08 3.8739690614521605e+08 3.8680521588959998e+08 3.8637556149635619e+08 3.8593815922058105e+08 3.8549031691445518e+08 3.8502066864735049e+08 3.8453600359093821e+08 3.8401991602424181e+08 3.8350274394314146e+08 3.8291949829392201e+08 3.8229534823747301e+08 3.8161882046093655e+08 3.8088095607278317e+08 3.8007086793127918e+08 3.7917629185113055e+08 3.7817702189762282e+08 3.7708804966407031e+08 3.7584983915924335e+08 3.7446166775488591e+08 3.7290340269940692e+08 3.7115337709479916e+08 3.6918924758492005e+08 3.6698860188911372e+08 3.6452416246167570e+08 3.6181176766377455e+08 3.5878636308421195e+08 3.5546583705910790e+08 3.5185786848927981e+08 3.4799075366604412e+08 3.4391263525846851e+08 3.3971514621074861e+08 3.3553235262090296e+08 3.3159907044979662e+08 3.2818001517227596e+08 3.2572187603053188e+08 3.2483504221533310e+08 3.2641428631043667e+08 3.3175415684327585e+08 3.4281685061225176e+08 3.6270698302665949e+08 3.9667755296293539e+08 3.1254764870873743e+08 +4.1193731243748646e+00 8.3480069597127452e+07 8.3480381948083490e+07 8.3480292473376572e+07 8.3482256796431467e+07 8.3489353172954068e+07 8.3504487403551251e+07 8.3528222840563685e+07 8.3558902167678267e+07 8.3595957335809797e+07 8.3640717953634590e+07 8.3694973214459196e+07 8.3760376169352204e+07 8.3838827186659336e+07 8.3932627719708383e+07 8.4044437612044588e+07 8.4177347447432622e+07 8.4335118069737181e+07 8.4522265863540724e+07 8.4744126170173302e+07 8.5006961990988746e+07 8.5318128182478741e+07 8.5686321415411606e+07 8.6122935654840559e+07 8.6647351927896336e+07 8.7284503686177790e+07 8.8048822060468152e+07 8.8952830405771688e+07 9.0017263575615972e+07 9.1268801710114330e+07 9.2738737341873556e+07 9.4463251158780113e+07 9.6483997071423694e+07 9.8848746056697980e+07 1.0161203658703406e+08 1.0483579284823477e+08 1.0858982832524979e+08 1.1295216577493456e+08 1.1800901565185289e+08 1.2385424664618933e+08 1.3058804130633436e+08 1.3893258938237032e+08 1.4855172039341021e+08 1.5956486399189207e+08 1.7206940164612481e+08 1.8612317745918795e+08 2.0172251647702092e+08 2.1877725398695847e+08 2.3708641099223602e+08 2.5632107940664989e+08 2.7601968461515975e+08 2.9560017393463260e+08 3.1444125438267159e+08 3.3195718884073269e+08 3.4760521864792520e+08 3.6101532455957550e+08 3.7202742029562449e+08 3.8067022475037175e+08 3.8713608576869637e+08 3.9171012679200083e+08 3.9474764956370395e+08 3.9656890165018445e+08 3.9749399190047467e+08 3.9775686501812810e+08 3.9758780997242159e+08 3.9712741314802796e+08 3.9648375063100362e+08 3.9575653780897701e+08 3.9498234721845043e+08 3.9418318234547991e+08 3.9339310795468920e+08 3.9259697008464611e+08 3.9182413773643565e+08 3.9107345434897465e+08 3.9036403217715269e+08 3.8969076869415987e+08 3.8903548455615366e+08 3.8841347055363631e+08 3.8782140651212019e+08 3.8722898297144020e+08 3.8679883827315706e+08 3.8636095030244058e+08 3.8591261645890373e+08 3.8544245487581956e+08 3.8495726074332225e+08 3.8444061854688835e+08 3.8392285626371086e+08 3.8333897381763166e+08 3.8271414214369708e+08 3.8203687535949975e+08 3.8129820475697887e+08 3.8048723126663852e+08 3.7959167726605254e+08 3.7859132323014474e+08 3.7750113475575072e+08 3.7626156989873737e+08 3.7487187984437317e+08 3.7331190978173089e+08 3.7155996907618809e+08 3.6959368989065212e+08 3.6739063539080727e+08 3.6492350638300735e+08 3.6220811776598686e+08 3.5917940091895282e+08 3.5585523929470015e+08 3.5224332020727462e+08 3.4837197093950081e+08 3.4428938689742279e+08 3.4008730140918618e+08 3.3589993501370668e+08 3.3196232343103671e+08 3.2853952454263651e+08 3.2607869441548866e+08 3.2519089826978457e+08 3.2677187429674882e+08 3.3211759269906980e+08 3.4319240363364929e+08 3.6310433484967732e+08 3.9711208794665861e+08 3.1210096930054367e+08 +4.1243414471491224e+00 8.4906141964856774e+07 8.4906288579895407e+07 8.4905927386278138e+07 8.4907544669988006e+07 8.4914312217327386e+07 8.4929275882696033e+07 8.4953059447168589e+07 8.4983901053479463e+07 8.5021128433748841e+07 8.5066052935923308e+07 8.5120478987953499e+07 8.5186063630980492e+07 8.5264707325680643e+07 8.5358713845141470e+07 8.5470746813528925e+07 8.5603900454702765e+07 8.5761940239456907e+07 8.5949388739511490e+07 8.6171588705434188e+07 8.6434811508837402e+07 8.6746421601383537e+07 8.7115126250963584e+07 8.7552329733571827e+07 8.8077429653168455e+07 8.8715401118384793e+07 8.9480702507257730e+07 9.0385860661347494e+07 9.1451625049657583e+07 9.2704699127346262e+07 9.4176401161736310e+07 9.5902938238029197e+07 9.7925989895444408e+07 1.0029335002738722e+08 1.0305957449240565e+08 1.0628659541821937e+08 1.1004421910665019e+08 1.1441043852988726e+08 1.1947140166471386e+08 1.2532086919370270e+08 1.3205885360734585e+08 1.4040756178498760e+08 1.5003005880937251e+08 1.6104515237489644e+08 1.7354939607110739e+08 1.8759958059277561e+08 2.0319075898525181e+08 2.2023132822466916e+08 2.3851882140920088e+08 2.5772298631063366e+08 2.7738129944790757e+08 2.9691144649904937e+08 3.1569275754352772e+08 3.3314107673459762e+08 3.4871608504557490e+08 3.6205066364184755e+08 3.7298769665792990e+08 3.8155848808086300e+08 3.8795732528202128e+08 3.9247052446567911e+08 3.9545388736301094e+08 3.9722764856569397e+08 3.9811155117850465e+08 3.9833900525909179e+08 3.9813968472138178e+08 3.9765358133707386e+08 3.9698822130174154e+08 3.9624281948080367e+08 3.9545353501128507e+08 3.9464198595941556e+08 3.9384190629786348e+08 3.9303785969457698e+08 3.9225891690979367e+08 3.9150365971677822e+08 3.9079093072826153e+08 3.9011533674061400e+08 3.8945844547020561e+08 3.8883529503028411e+08 3.8824236609114283e+08 3.8764921493352801e+08 3.8721858391683090e+08 3.8678021426889133e+08 3.8633139298345011e+08 3.8586072237309849e+08 3.8537500358832347e+08 3.8485781144579566e+08 3.8433946375921762e+08 3.8375494983925819e+08 3.8312944224589211e+08 3.8245144263038629e+08 3.8171197255042988e+08 3.8090012110861093e+08 3.8000359735645998e+08 3.7900216833866078e+08 3.7791077364564818e+08 3.7666986574649674e+08 3.7527866972159928e+08 3.7371700888676864e+08 3.7196316906791043e+08 3.6999475815065414e+08 3.6778931495266885e+08 3.6531951885591054e+08 3.6260116127630746e+08 3.5956915980534291e+08 3.5624139292205030e+08 3.5262555628423750e+08 3.4875000790789413e+08 3.4466299549567479e+08 3.4045635192229074e+08 3.3626445091955364e+08 3.3232254593399209e+08 3.2889603467616445e+08 3.2643253602281266e+08 3.2554378562336123e+08 3.2712647914341223e+08 3.3247799661970174e+08 3.4356482362311888e+08 3.6349837183533180e+08 3.9754299772751129e+08 3.1165369743917084e+08 +4.1293097699233803e+00 8.6331498292129546e+07 8.6331481099427670e+07 8.6330847346413374e+07 8.6332118160047904e+07 8.6338557021789983e+07 8.6353350028574929e+07 8.6377181284408197e+07 8.6408184542987540e+07 8.6445583410053909e+07 8.6490670955291405e+07 8.6545266801219836e+07 8.6611031951347888e+07 8.6689866927832618e+07 8.6784077786563531e+07 8.6896331885718584e+07 8.7029727037944004e+07 8.7188033278159633e+07 8.7375779288099721e+07 8.7598315137268692e+07 8.7861920460998684e+07 8.8173969181252941e+07 8.8543179016330078e+07 8.8980964362749115e+07 8.9506739079187125e+07 9.0145519498612210e+07 9.0911790989436671e+07 9.1818083670978293e+07 9.2885161276858464e+07 9.4139750120247185e+07 9.5613193665302664e+07 9.7341724770503193e+07 9.9367047882585436e+07 1.0173697898133492e+08 1.0450609035935287e+08 1.0773632100090027e+08 1.1149746879570353e+08 1.1586749555355005e+08 1.2093248524731496e+08 1.2678608889137797e+08 1.3352814715579794e+08 1.4188087158208400e+08 1.5150656865326133e+08 1.6252342225996920e+08 1.7502715691970474e+08 1.8907350984919748e+08 2.0465626374439597e+08 2.2168238130917645e+08 2.3994791475507498e+08 2.5912127798742586e+08 2.7873901188588178e+08 2.9821855549715465e+08 3.1693987655730510e+08 3.3432041211607224e+08 3.4982228945179844e+08 3.6308129049150205e+08 3.7394326396228302e+08 3.8244208885699868e+08 3.8877397993121791e+08 3.9322643428056514e+08 3.9615574337408978e+08 3.9788212116658717e+08 3.9872493962988013e+08 3.9891707101638728e+08 3.9868757232605982e+08 3.9817584011034983e+08 3.9748885068559486e+08 3.9672531868853652e+08 3.9592099050384283e+08 3.9509709958597761e+08 3.9428704978678209e+08 3.9347512327446890e+08 3.9269009326512331e+08 3.9193028065161747e+08 3.9121425910873419e+08 3.9053634567252058e+08 3.8987785599991977e+08 3.8925357621398616e+08 3.8865978845995617e+08 3.8806591534855491e+08 3.8763480199685180e+08 3.8719595468481803e+08 3.8674665004911464e+08 3.8627547469580114e+08 3.8578923567807025e+08 3.8527149826892978e+08 3.8475256997174877e+08 3.8416742989685732e+08 3.8354125207562888e+08 3.8286252579898417e+08 3.8212226297188580e+08 3.8130954096751308e+08 3.8041205562500715e+08 3.7940956071628284e+08 3.7831696981750846e+08 3.7707473017388141e+08 3.7568204084669948e+08 3.7411870345967752e+08 3.7236298049836552e+08 3.7039245577568567e+08 3.6818464396473634e+08 3.6571220324793249e+08 3.6299090153744501e+08 3.5995564305743861e+08 3.5662430122487903e+08 3.5300457997064120e+08 3.4912486778573853e+08 3.4503346423029172e+08 3.4082230088820505e+08 3.3662590343805921e+08 3.3267974102222592e+08 3.2924954860418344e+08 3.2678340386142409e+08 3.2589370727713829e+08 3.2747810386637980e+08 3.3283537167001730e+08 3.4393411374735504e+08 3.6388909733349216e+08 3.9797028597028947e+08 3.1120584011351472e+08 +4.1342780926976381e+00 8.7756117249816060e+07 8.7755934315231115e+07 8.7755029967868611e+07 8.7755954903796151e+07 8.7762065045392931e+07 8.7776687298039481e+07 8.7800565866347790e+07 8.7831730139828950e+07 8.7869299767659217e+07 8.7914549515382022e+07 8.7969314155733243e+07 8.8035258630566061e+07 8.8114283491865709e+07 8.8208697041073605e+07 8.8321170324282095e+07 8.8454804691555366e+07 8.8613374678670958e+07 8.8801415000584856e+07 8.9024282955587327e+07 8.9288266335287422e+07 8.9600748408274993e+07 8.9970457195610747e+07 9.0408817024440780e+07 9.0935257685782075e+07 9.1574836304444104e+07 9.2342064981791139e+07 9.3249476906547427e+07 9.4317849726119608e+07 9.5573932155164495e+07 9.7049092316875041e+07 9.8779588219601646e+07 1.0080714849716879e+08 1.0317961038601609e+08 1.0595156166242348e+08 1.0918494708395235e+08 1.1294955490172358e+08 1.1732331438865681e+08 1.2239224399262933e+08 1.2824988340582784e+08 1.3499589972332925e+08 1.4335249670662546e+08 1.5298122808640647e+08 1.6399965212715253e+08 1.7650266310838565e+08 1.9054494473202705e+08 2.0611901103222984e+08 2.2313039451488665e+08 2.4137367355209035e+08 2.6051593847321710e+08 2.8009280773572761e+08 2.9952148872090805e+08 3.1818260134049553e+08 3.3549518706670272e+08 3.5092382604268533e+08 3.6410720120879167e+08 3.7489411999088603e+08 3.8332102626524764e+08 3.8958605002832246e+08 3.9397785742012495e+08 3.9685321943965441e+08 3.9853232178414518e+08 3.9933415994367576e+08 3.9949106524130565e+08 3.9923147592954469e+08 3.9869419275182408e+08 3.9798564217091733e+08 3.9720403889793122e+08 3.9638471722048366e+08 3.9554852679224414e+08 3.9472854201889604e+08 3.9390876444251359e+08 3.9311767043396860e+08 3.9235332079327297e+08 3.9163402096172255e+08 3.9095379913245541e+08 3.9029371978566533e+08 3.8966831774099290e+08 3.8907367725007564e+08 3.8847908784279126e+08 3.8804749613464737e+08 3.8760817516823870e+08 3.8715839126992333e+08 3.8668671545346689e+08 3.8619996061737823e+08 3.8568168261561942e+08 3.8516217849693781e+08 3.8457641757985938e+08 3.8394957521698284e+08 3.8327012844287038e+08 3.8252907959131414e+08 3.8171549440697247e+08 3.8081705562624782e+08 3.7981350390826291e+08 3.7871972680625969e+08 3.7747616670513088e+08 3.7608199672925788e+08 3.7451699699623495e+08 3.7275940684704876e+08 3.7078678622630382e+08 3.6857662586742932e+08 3.6610156297608697e+08 3.6337734194072354e+08 3.6033885403862119e+08 3.5700396753529996e+08 3.5338039456495172e+08 3.4949655383560896e+08 3.4540079632486331e+08 3.4118515149168026e+08 3.3698429571431750e+08 3.3303391180374014e+08 3.2960006940339518e+08 3.2713130098480737e+08 3.2624066627584487e+08 3.2782675152524328e+08 3.3318972096012288e+08 3.4430027722001803e+08 3.6427651474454522e+08 3.9839395639334917e+08 3.1075740428981090e+08 +4.1392464154718960e+00 8.9179976425624296e+07 8.9179628608925387e+07 8.9178453648751527e+07 8.9179032307715416e+07 8.9184813878441572e+07 8.9199265241323099e+07 8.9223190779275924e+07 8.9254515424149171e+07 8.9292255085877836e+07 8.9337666195583910e+07 8.9392598628939494e+07 8.9458721244667232e+07 8.9537934592727900e+07 8.9632549182038024e+07 8.9745239701392680e+07 8.9879110986165732e+07 9.0037942010178357e+07 9.0226273444787428e+07 9.0449469726516977e+07 9.0713826696444616e+07 9.1026736845452517e+07 9.1396938349976942e+07 9.1835865277892664e+07 9.2362963030426145e+07 9.3003329090881079e+07 9.3771502037153080e+07 9.4680017918562785e+07 9.5749667945817605e+07 9.7007222778401956e+07 9.8484074661690935e+07 1.0021650613035664e+08 1.0224626928556572e+08 1.0462122179244171e+08 1.0739596596161690e+08 1.1063245124184851e+08 1.1440045502261212e+08 1.1877787266868357e+08 1.2385065558679886e+08 1.2971223049923375e+08 1.3646208918070984e+08 1.4482241519421405e+08 1.5445401537694824e+08 1.6547382056797481e+08 1.7797589367023924e+08 1.9201386486700448e+08 2.0757898125373888e+08 2.2457534924853683e+08 2.4279608045971277e+08 2.6190695194508108e+08 2.8144267294656372e+08 3.0082023410330504e+08 3.1942092194891334e+08 3.3666539380177087e+08 3.5202068912173241e+08 3.6512839201370585e+08 3.7584026263784528e+08 3.8419529959431553e+08 3.9039353597905225e+08 3.9472479515516895e+08 3.9754631748248452e+08 3.9917825282401901e+08 3.9993921488049120e+08 4.0006099095252490e+08 3.9977139873961884e+08 3.9920864260839528e+08 3.9847859920665455e+08 3.9767898363422942e+08 3.9684471874186379e+08 3.9599627120009184e+08 3.9516638664600009e+08 3.9433878687114555e+08 3.9354165210258639e+08 3.9277278383459151e+08 3.9205021998233646e+08 3.9136770081582260e+08 3.9070604051982200e+08 3.9007952329946029e+08 3.8948403614489532e+08 3.8888873609446430e+08 3.8845667000461006e+08 3.8801687938937539e+08 3.8756662031159627e+08 3.8709444830748349e+08 3.8660718206275684e+08 3.8608836813780278e+08 3.8556829298128700e+08 3.8498191652941132e+08 3.8435441530489045e+08 3.8367425419073641e+08 3.8293242603128159e+08 3.8211798504078883e+08 3.8121860096635294e+08 3.8021400151067406e+08 3.7911904819788975e+08 3.7787417891362238e+08 3.7647854093081719e+08 3.7491189304233503e+08 3.7315245164349991e+08 3.7117775301370072e+08 3.6896526415042639e+08 3.6648760150710338e+08 3.6376048592720300e+08 3.6071879616111153e+08 3.5738039523399395e+08 3.5375300341353494e+08 3.4986506936651993e+08 3.4576499505044323e+08 3.4154490696359235e+08 3.3733963093921757e+08 3.3338506143247706e+08 3.2994760019465268e+08 3.2747623049008644e+08 3.2658466570891678e+08 3.2817242522424334e+08 3.3354104764473313e+08 3.4466331730128062e+08 3.6466062751783162e+08 3.9881401276963556e+08 3.1030839691161186e+08 +4.1442147382461538e+00 9.0603053045653641e+07 9.0602540299177945e+07 9.0601094999652624e+07 9.0601327743192524e+07 9.0606781240176350e+07 9.0621061527373567e+07 9.0645033680992097e+07 9.0676518053499699e+07 9.0714427020881549e+07 9.0759998651913837e+07 9.0815097874802426e+07 9.0881397446277782e+07 9.0960797881834790e+07 9.1055611859294415e+07 9.1168517665512651e+07 9.1302623569127694e+07 9.1461712918642879e+07 9.1650332265240967e+07 9.1873853093226165e+07 9.2138579186206609e+07 9.2451912132861242e+07 9.2822600118085861e+07 9.3262086759989649e+07 9.3789832748270527e+07 9.4430975491776198e+07 9.5200079787266314e+07 9.6109684336710528e+07 9.7180593563692763e+07 9.8439599616674602e+07 9.9918118325745121e+07 1.0165245612951657e+08 1.0368438787748042e+08 1.0606179083596708e+08 1.0883928090196662e+08 1.1207881113603503e+08 1.1585014684486611e+08 1.2023114811792256e+08 1.2530769780924866e+08 1.3117310803028165e+08 1.3792669349787423e+08 1.4629060518353620e+08 1.5592490890090004e+08 1.6694590628596181e+08 1.7944682775569969e+08 1.9348025000207829e+08 2.0903615494190329e+08 2.2601722704912278e+08 2.4421511827434930e+08 2.6329430272012079e+08 2.8278859360890335e+08 3.0211477971948367e+08 3.2065482857662225e+08 3.3783102467113888e+08 3.5311287311903650e+08 3.6614485924479598e+08 3.7678168990562618e+08 3.8506490823428291e+08 3.9119643828336883e+08 3.9546724884327573e+08 3.9823503950603265e+08 3.9981991676807302e+08 4.0054010727111042e+08 4.0062685123588663e+08 4.0030734402803677e+08 3.9971919308795762e+08 3.9896772530130297e+08 3.9815015647969872e+08 3.9730099870600313e+08 3.9644033648780918e+08 3.9560058737527990e+08 3.9476519428719926e+08 3.9396204201006943e+08 3.9318867352115208e+08 3.9246285991971344e+08 3.9177805447045130e+08 3.9111482194733173e+08 3.9048719662962818e+08 3.8989086888012630e+08 3.8929486383365077e+08 3.8886232733357489e+08 3.8842207107057410e+08 3.8797134089193428e+08 3.8749867697078568e+08 3.8701090372323692e+08 3.8649155853947055e+08 3.8597091712400901e+08 3.8538393043888772e+08 3.8475577602665418e+08 3.8407490672342581e+08 3.8333230596485895e+08 3.8251701653476369e+08 3.8161669530181831e+08 3.8061105717077643e+08 3.7951493762912464e+08 3.7826877042498732e+08 3.7687167706255168e+08 3.7530339519462222e+08 3.7354211846745050e+08 3.7156535969808543e+08 3.6935056235313314e+08 3.6687032235625863e+08 3.6414033698669088e+08 3.6109547288513219e+08 3.5775358774911755e+08 3.5412240990930545e+08 3.5023041773455411e+08 3.4612606372358644e+08 3.4190157057977825e+08 3.3769191234887105e+08 3.3373319310644740e+08 3.3029214414291590e+08 3.2781819551945674e+08 3.2692570870904130e+08 3.2851512811109883e+08 3.3388935492319512e+08 3.4502323729729247e+08 3.6504143915105426e+08 3.9923045892454308e+08 3.0985882489976728e+08 +4.1491830610204117e+00 9.2025324865200639e+07 9.2024648336240813e+07 9.2022931861357376e+07 9.2022819454650581e+07 9.2027944856498808e+07 9.2042053934540063e+07 9.2066072303356528e+07 9.2097715763041660e+07 9.2135793305753589e+07 9.2181524616884217e+07 9.2236789623827145e+07 9.2303264964817628e+07 9.2382851087274328e+07 9.2477862799429834e+07 9.2590981942264318e+07 9.2725320164702788e+07 9.2884665127143264e+07 9.3073569183744758e+07 9.3297410776445180e+07 9.3562501523808971e+07 9.3876251988505110e+07 9.4247420216370031e+07 9.4687459185867175e+07 9.5215844553042665e+07 9.5857753219206735e+07 9.6627775942586601e+07 9.7538453869981170e+07 9.8610604287670165e+07 9.9871040377073810e+07 1.0135120101643194e+08 1.0308741592616634e+08 1.0512148198561278e+08 1.0750129523602578e+08 1.1028148421436365e+08 1.1352400451537988e+08 1.1729860814431423e+08 1.2168311855201180e+08 1.2676334853322582e+08 1.3263249395367649e+08 1.3938969074416709e+08 1.4775704491644192e+08 1.5739388714111847e+08 1.6841588809672832e+08 1.8091544463178602e+08 1.9494408000784951e+08 2.1049051275696602e+08 2.2745600958890456e+08 2.4563076992911798e+08 2.6467797525532156e+08 2.8413055595502841e+08 3.0340511378493732e+08 3.2188431155577570e+08 3.3899207215740693e+08 3.5420037259213579e+08 3.6715659935945982e+08 3.7771839990859121e+08 3.8592985167714560e+08 3.9199475753369552e+08 3.9620521992714083e+08 3.9891938759388709e+08 4.0045731617204159e+08 4.0113684001710480e+08 4.0118864924370784e+08 4.0083931513003999e+08 4.0022584765989733e+08 3.9945302402217537e+08 3.9861756107547009e+08 3.9775356080700433e+08 3.9688072638826501e+08 3.9603114796831512e+08 3.9518799047067797e+08 3.9437884394843876e+08 3.9360099365222901e+08 3.9287194457478583e+08 3.9218486389683616e+08 3.9152006786513484e+08 3.9089134152495348e+08 3.9029417924359101e+08 3.8969747484276527e+08 3.8926447189907455e+08 3.8882375398491126e+08 3.8837255678015023e+08 3.8789940520830214e+08 3.8741112935831511e+08 3.8689125757530802e+08 3.8637005467465323e+08 3.8578246305265927e+08 3.8515366112053996e+08 3.8447208977192467e+08 3.8372872311637014e+08 3.8291259260525483e+08 3.8201134234049034e+08 3.8100467458668613e+08 3.7990739878711343e+08 3.7865994491390991e+08 3.7726140878608990e+08 3.7569150709917659e+08 3.7392841094762474e+08 3.7194960988970214e+08 3.6973252406408322e+08 3.6724972908788753e+08 3.6451689865658754e+08 3.6146888771874177e+08 3.5812354855619121e+08 3.5448861749320024e+08 3.5059260234253395e+08 3.4648400570707166e+08 3.4225514566201299e+08 3.3804114322379130e+08 3.3407831006801230e+08 3.3063370445710516e+08 3.2815719925731629e+08 3.2726379845247847e+08 3.2885486337780958e+08 3.3423464603962612e+08 3.4538004056030017e+08 3.6541895319075209e+08 3.9964329873669446e+08 3.0940869515240335e+08 +4.1541513837946695e+00 9.3446769886181027e+07 9.3445929297761008e+07 9.3443942194346443e+07 9.3443485051728964e+07 9.3448282487240434e+07 9.3462220317341834e+07 9.3486284454179838e+07 9.3518086365998521e+07 9.3556331751193464e+07 9.3602221899745569e+07 9.3657651684040815e+07 9.3724301606834427e+07 9.3804072014623284e+07 9.3899279806461334e+07 9.4012610334491238e+07 9.4147178574606419e+07 9.4306776436078757e+07 9.4495961999709785e+07 9.4720120574103266e+07 9.4985571506242082e+07 9.5299734208014116e+07 9.5671376439372525e+07 9.6111960348741442e+07 9.6640976236956477e+07 9.7283640064185053e+07 9.8054568292990431e+07 9.8966304307219073e+07 1.0003967790592833e+08 1.0130152284768654e+08 1.0278330052288933e+08 1.0452136331175348e+08 1.0655752940625075e+08 1.0893971279676038e+08 1.1172255371583790e+08 1.1496800921596317e+08 1.1874581678610669e+08 1.2313376187788126e+08 1.2821758572548752e+08 1.3409036632073474e+08 1.4085105908854061e+08 1.4922171273843005e+08 1.5886092868836462e+08 1.6988374492815024e+08 1.8238172368285435e+08 1.9640533487646303e+08 2.1194203548652753e+08 2.2889167867222342e+08 2.4704301849404022e+08 2.6605795414767569e+08 2.8546854635880452e+08 3.0469122465642798e+08 3.2310936135777479e+08 3.4014852887631857e+08 3.5528318222385228e+08 3.6816360893287665e+08 3.7865039086880982e+08 3.8679012951482886e+08 3.9278849441595107e+08 3.9693870993628871e+08 3.9959936390828615e+08 4.0109045366536850e+08 4.0172941608932912e+08 4.0174638819468999e+08 4.0136731544452190e+08 4.0072860985382497e+08 3.9993449899579400e+08 3.9908120111894381e+08 3.9820240879474312e+08 3.9731744469001997e+08 3.9645807224015480e+08 3.9560717925588441e+08 3.9479206176282763e+08 3.9400974807870436e+08 3.9327747780038410e+08 3.9258813294681925e+08 3.9192178212209868e+08 3.9129196182890648e+08 3.9069397107400978e+08 3.9009657295532382e+08 3.8966310753083760e+08 3.8922193195805043e+08 3.8877027179708964e+08 3.8829663683605564e+08 3.8780786277947426e+08 3.8728746905110431e+08 3.8676570943414313e+08 3.8617751816554391e+08 3.8554807437527204e+08 3.8486580711912632e+08 3.8412168126103354e+08 3.8330471701931995e+08 3.8240254584038538e+08 3.8139485750621915e+08 3.8029643540967250e+08 3.7904770610540766e+08 3.7764773981273615e+08 3.7607623245213187e+08 3.7431133276290637e+08 3.7233050724740165e+08 3.7011115292045009e+08 3.6762582531496698e+08 3.6489017452301145e+08 3.6183904421832806e+08 3.5849028117870826e+08 3.5485162965211296e+08 3.5095162663945597e+08 3.4683882440953845e+08 3.4260563557738447e+08 3.3838732688982153e+08 3.3442041560388058e+08 3.3097228439038414e+08 3.2849324493216938e+08 3.2759893815853518e+08 3.2919163425958771e+08 3.3457692428208143e+08 3.4573373048800385e+08 3.6579317323210019e+08 4.0005253613791746e+08 3.0895801454490477e+08 +4.1591197065689274e+00 9.4867365760607228e+07 9.4866361500065356e+07 9.4864104110616565e+07 9.4863302235033214e+07 9.4867772015299648e+07 9.4881538579411238e+07 9.4905648020164713e+07 9.4937607754075184e+07 9.4976020245588362e+07 9.5022068387181267e+07 9.5077661940528989e+07 9.5144485256249160e+07 9.5224438546716735e+07 9.5319840761857003e+07 9.5433380722559094e+07 9.5568176678294465e+07 9.5728024723801851e+07 9.5917488590242907e+07 9.6141960362421259e+07 9.6407767008585185e+07 9.6722336665597007e+07 9.7094446659992933e+07 9.7535568120609730e+07 9.8065205671059862e+07 9.8708613897054330e+07 9.9480434708052784e+07 1.0039321351738529e+08 1.0146779228720614e+08 1.0273102489794295e+08 1.0421439471594769e+08 1.0595427616067846e+08 1.0799250801935478e+08 1.1037702140756018e+08 1.1316246730959997e+08 1.1641080316225958e+08 1.2019175072505067e+08 1.2458305609449807e+08 1.2967038744718121e+08 1.3554670328005275e+08 1.4231077680020794e+08 1.5068458709809116e+08 1.6032601224111050e+08 1.7134945582049844e+08 1.8384564441061845e+08 1.9786399472331569e+08 2.1339070404601243e+08 2.3032421623587304e+08 2.4845184717551336e+08 2.6743422413378704e+08 2.8680255133443624e+08 3.0597310083042687e+08 3.2432996858941263e+08 3.4130038757543391e+08 3.5636129682271332e+08 3.6916588465771466e+08 3.7957766111756831e+08 3.8764574144008064e+08 3.9357764970783275e+08 3.9766772048452181e+08 4.0027497069103414e+08 4.0171933195261455e+08 4.0231783852838230e+08 4.0230007137340790e+08 4.0189134843343395e+08 4.0122748326102877e+08 4.0041215390776855e+08 3.9954108036458600e+08 3.9864754647495294e+08 3.9775049523558694e+08 3.9688136405956292e+08 3.9602276452869093e+08 3.9520169935124427e+08 3.9441494070387870e+08 3.9367946350154477e+08 3.9298786552403712e+08 3.9231996861858082e+08 3.9168906143748075e+08 3.9109024826187360e+08 3.9049216205574059e+08 3.9005823810884470e+08 3.8961660886553347e+08 3.8916448981418300e+08 3.8869037572060746e+08 3.8820110784867018e+08 3.8768019682362777e+08 3.8715788525444365e+08 3.8656909962319285e+08 3.8593901963065523e+08 3.8525606259734601e+08 3.8451118422335118e+08 3.8369339359351015e+08 3.8279030960947156e+08 3.8178160972746027e+08 3.8068205128342527e+08 3.7943205777444327e+08 3.7803067390320241e+08 3.7645757499844527e+08 3.7469088764057785e+08 3.7270805547935891e+08 3.7048645260820752e+08 3.6799861469802749e+08 3.6526016821952361e+08 3.6220594598672122e+08 3.5885378918621343e+08 3.5521144992012888e+08 3.5130749412014478e+08 3.4719052328478527e+08 3.4295304373780930e+08 3.3873046671654642e+08 3.3475951304383725e+08 3.3130788723831278e+08 3.2882633581497383e+08 3.2793113108981436e+08 3.2952544403419191e+08 3.3491619298222864e+08 3.4608431052314883e+08 3.6616410291758627e+08 4.0045817511225969e+08 3.0850678992989522e+08 +4.1640880293431852e+00 9.6287091186071113e+07 9.6285922781736210e+07 9.6283396104784787e+07 9.6282249093757957e+07 9.6286391429873496e+07 9.6299986673114166e+07 9.6324140968884960e+07 9.6356257897251830e+07 9.6394836755288884e+07 9.6441042043311581e+07 9.6496798356630340e+07 9.6563793875054345e+07 9.6643928644251645e+07 9.6739523625082597e+07 9.6853271064913481e+07 9.6988292433060780e+07 9.7148387946605414e+07 9.7338126910729364e+07 9.7562908095961571e+07 9.7829065984337345e+07 9.8144037313762411e+07 9.8516608830138996e+07 9.8958260452544838e+07 9.9488510805667982e+07 1.0013265266783012e+08 1.0090535313726167e+08 1.0181915944979896e+08 1.0289492538126729e+08 1.0415952447872153e+08 1.0564446154910934e+08 1.0738613243037443e+08 1.0942639578913108e+08 1.1181319904282799e+08 1.1460120298544776e+08 1.1785236436656822e+08 1.2163638800608104e+08 1.2603097929265450e+08 1.3112173185395342e+08 1.3700148307667026e+08 1.4376882224826130e+08 1.5214564654867408e+08 1.6178911660608277e+08 1.7281299992640257e+08 1.8530718643412614e+08 1.9932003978587458e+08 2.1483649947857365e+08 2.3175360434876198e+08 2.4985723931639695e+08 2.6880677008968484e+08 2.8813255753736198e+08 3.0725073094420081e+08 3.2554612399633038e+08 3.4244764113499492e+08 3.5743471132213581e+08 3.7016342334317887e+08 3.8050020909491092e+08 3.8849668724510044e+08 3.9436222427860940e+08 3.9839225327008218e+08 4.0094621026215118e+08 4.0234395381055045e+08 4.0290211044407445e+08 4.0284970212975824e+08 4.0241141762054670e+08 4.0172247153239536e+08 4.0088599250064093e+08 3.9999720262359899e+08 3.9908897770841408e+08 3.9817988192149943e+08 3.9730102734915674e+08 3.9643475022859830e+08 3.9560776066311675e+08 3.9481657548267895e+08 3.9407790563453525e+08 3.9338406558359784e+08 3.9271463130538762e+08 3.9208264429672176e+08 3.9148301474878538e+08 3.9088424607984185e+08 3.9044986756448042e+08 3.9000778863426590e+08 3.8955521475328302e+08 3.8908062577975017e+08 3.8859086847813267e+08 3.8806944480012995e+08 3.8754658603711015e+08 3.8695721132171816e+08 3.8632650077560377e+08 3.8564286008902913e+08 3.8489723587950486e+08 3.8407862619514108e+08 3.8317463750552362e+08 3.8216493509798336e+08 3.8106425024526405e+08 3.7981300374498838e+08 3.7841021486745924e+08 3.7683553853211600e+08 3.7506707935728484e+08 3.7308225834151536e+08 3.7085842686051363e+08 3.6836810094641751e+08 3.6562688342787170e+08 3.6256959667478144e+08 3.5921407619596660e+08 3.5556808187743849e+08 3.5166020832524931e+08 3.4753910583181059e+08 3.4329737359951401e+08 3.3907056611776960e+08 3.3509560576221848e+08 3.3164051634010172e+08 3.2915647522023350e+08 3.2826038055112290e+08 3.2985629602315676e+08 3.3525245551593781e+08 3.4643178415379661e+08 3.6653174593750137e+08 4.0086021969566905e+08 3.0805502813721973e+08 +4.1690563521174431e+00 9.7705923604028910e+07 9.7704591540273398e+07 9.7701795131723896e+07 9.7700303811689273e+07 9.7704118752306029e+07 9.7717542620859116e+07 9.7741741349175483e+07 9.7774014843750730e+07 9.7812759324977130e+07 9.7859120910322234e+07 9.7915038973372981e+07 9.7982205503099158e+07 9.8062520346179649e+07 9.8158306433776766e+07 9.8272259398239240e+07 9.8407503874696657e+07 9.8567844139244527e+07 9.8757854995112792e+07 9.8982941807652682e+07 9.9249446465933919e+07 9.9564814184121221e+07 9.9937840980640292e+07 1.0038001537481135e+08 1.0091086967107059e+08 1.0155573440622596e+08 1.0232930161042471e+08 1.0324412013459094e+08 1.0432105521911655e+08 1.0558699962290840e+08 1.0707347905831824e+08 1.0881691016179217e+08 1.1085917076422414e+08 1.1324822376262486e+08 1.1603873882033221e+08 1.1929267092984922e+08 1.2307970676418106e+08 1.2747750965556031e+08 1.3257159719572948e+08 1.3845468405349547e+08 1.4522517390232030e+08 1.5360486974690747e+08 1.6325022069767603e+08 1.7427435651119843e+08 1.8676632949006256e+08 2.0077345042411742e+08 2.1627940295463747e+08 2.3317982521264747e+08 2.5125917839639169e+08 2.7017557703030497e+08 2.8945855176369518e+08 3.0852410377440810e+08 3.2675781845995909e+08 3.4359028256653529e+08 3.5850342078088933e+08 3.7115622191526222e+08 3.8141803334810853e+08 3.8934296682098812e+08 3.9514221908884120e+08 3.9911231007579875e+08 4.0161308501976186e+08 4.0296432208887333e+08 4.0348223501417565e+08 4.0339528387899512e+08 4.0292752659275413e+08 4.0221357837837988e+08 4.0135601857578003e+08 4.0044957176340604e+08 3.9952670641124308e+08 3.9860560869850880e+08 3.9771706608423877e+08 3.9684314034732628e+08 3.9601024969970953e+08 3.9521465642119980e+08 3.9447280820687711e+08 3.9377673713060158e+08 3.9310577418449575e+08 3.9247271440392655e+08 3.9187227452599794e+08 3.9127282901312166e+08 3.9083799987882847e+08 3.9039547524150288e+08 3.8994245058735198e+08 3.8946739098069096e+08 3.8897714863078207e+08 3.8845521693809885e+08 3.8793181573408818e+08 3.8734185720730793e+08 3.8671052175071096e+08 3.8602620352713770e+08 3.8527984015366656e+08 3.8446041874092048e+08 3.8355553343609965e+08 3.8254483751477784e+08 3.8144303618125618e+08 3.8019054789003158e+08 3.7878636656442112e+08 3.7721012689609438e+08 3.7543991173734581e+08 3.7345311963830990e+08 3.7122707945991081e+08 3.6873428781599307e+08 3.6599032387586701e+08 3.6292999997977626e+08 3.5957114587042260e+08 3.5592152914939564e+08 3.5200977284093243e+08 3.4788457559505945e+08 3.4363862866315454e+08 3.3940762855105346e+08 3.3542869717612642e+08 3.3197017507744747e+08 3.2948366650415289e+08 3.2858668988981861e+08 3.3018419358974200e+08 3.3558571530144960e+08 3.4677615491258878e+08 3.6689610602938992e+08 4.0125867397578812e+08 3.0760273597392833e+08 +4.1740246748917009e+00 9.9123840025128737e+07 9.9122344718764618e+07 9.9119279696847156e+07 9.9117444325071573e+07 9.9120932091764450e+07 9.9134184533934683e+07 9.9158427291379794e+07 9.9190856720040530e+07 9.9229766077638298e+07 9.9276283108475670e+07 9.9332361910546124e+07 9.9399698258881018e+07 9.9480191769818366e+07 9.9576167304053515e+07 9.9690323837785110e+07 9.9825789117625877e+07 9.9986371415406227e+07 1.0017665095620863e+08 1.0040203960960662e+08 1.0066888656467785e+08 1.0098464538754621e+08 1.0135812122186014e+08 1.0180081099741948e+08 1.0233226037691700e+08 1.0297783722242509e+08 1.0375225823781750e+08 1.0466807368281987e+08 1.0574615991328929e+08 1.0701342844541991e+08 1.0850142536226854e+08 1.1024658747965942e+08 1.1229081107791203e+08 1.1468207371288034e+08 1.1747505297818342e+08 1.2073170104161906e+08 1.2452168522502732e+08 1.2892262545888840e+08 1.3401996181785786e+08 1.3990628465084285e+08 1.4667981033237979e+08 1.5506223545387700e+08 1.6470930353889522e+08 1.7573350495328146e+08 1.8822305343245754e+08 2.0222420712099397e+08 2.1771939577226108e+08 2.3460286116127518e+08 2.5265764803088114e+08 2.7154063011014533e+08 2.9078052094892776e+08 3.0979320823643953e+08 3.2796504299808091e+08 3.4472830501249611e+08 3.5956742038030720e+08 3.7214427741611689e+08 3.8233113253173906e+08 3.9018458015831858e+08 3.9591763519045842e+08 3.9982789276838958e+08 4.0227559743932426e+08 4.0358043971054876e+08 4.0405821548543894e+08 4.0393682010081583e+08 4.0343967899782640e+08 4.0270080756895018e+08 4.0182223599208653e+08 4.0089819170726573e+08 3.9996073655343360e+08 3.9902767957116169e+08 3.9812948429275072e+08 3.9724793892842460e+08 3.9640917051437348e+08 3.9560918757722199e+08 3.9486417527693492e+08 3.9416588422227120e+08 3.9349340130842352e+08 3.9285927580641502e+08 3.9225803163520736e+08 3.9165791489146602e+08 3.9122263908387554e+08 3.9077967271369690e+08 3.9032620133822501e+08 3.8985067534091139e+08 3.8935995231819671e+08 3.8883751724378753e+08 3.8831357834752548e+08 3.8772304127524024e+08 3.8709108654405493e+08 3.8640609689382803e+08 3.8565900102059793e+08 3.8483877519633454e+08 3.8393300135774207e+08 3.8292132092436928e+08 3.8181841302573705e+08 3.8056469413144761e+08 3.7915913290114194e+08 3.7758134398122513e+08 3.7580938865362650e+08 3.7382064322216028e+08 3.7159241423535353e+08 3.6909717911032122e+08 3.6635049333909279e+08 3.6328715964519376e+08 3.5992500191892600e+08 3.5627179540746605e+08 3.5235619129797113e+08 3.4822693616275102e+08 3.4397681247370207e+08 3.3974165751732820e+08 3.3575879074549794e+08 3.3229686687472439e+08 3.2980791306569892e+08 3.2891006249553162e+08 3.3050914014000607e+08 3.3591597580025274e+08 3.4711742637657422e+08 3.6725718697768939e+08 4.0165354209168762e+08 3.0714992022425938e+08 +4.1789929976659588e+00 1.0054082134598009e+08 1.0053916203686993e+08 1.0053582847213989e+08 1.0053364884285437e+08 1.0053680967638431e+08 1.0054989061476704e+08 1.0057417700615187e+08 1.0060676173076940e+08 1.0064583521509968e+08 1.0069250683671232e+08 1.0074874536649610e+08 1.0081625033961377e+08 1.0089692111137301e+08 1.0099308443098660e+08 1.0110744257769325e+08 1.0124312635534778e+08 1.0140394796746339e+08 1.0159449298592535e+08 1.0182017969326767e+08 1.0208736447152999e+08 1.0240350911436190e+08 1.0277742774392904e+08 1.0322062551027490e+08 1.0375266111350097e+08 1.0439893930689821e+08 1.0517420121090744e+08 1.0609099828708878e+08 1.0717021765827926e+08 1.0843878914372210e+08 1.0992827866321768e+08 1.1167514259280354e+08 1.1372129494866431e+08 1.1611472712576012e+08 1.1891012371058267e+08 1.2216943298065157e+08 1.2596230170506416e+08 1.3036630507133818e+08 1.3546680416052112e+08 1.4135626340692624e+08 1.4813271020944455e+08 1.5651772253503227e+08 1.6616634426136971e+08 1.7719042474360394e+08 1.8967733823308516e+08 2.0367229048154029e+08 2.1915645935725531e+08 2.3602269466047060e+08 2.5405263197173291e+08 2.7290191462223649e+08 2.9209845216924822e+08 3.1105803338571125e+08 3.2916778876435417e+08 3.4586170174600035e+08 3.6062670542687356e+08 3.7312758700251329e+08 3.8323950540718746e+08 3.9102152734532154e+08 3.9668847372514707e+08 4.0053900329714710e+08 4.0293375007440287e+08 4.0419230966962683e+08 4.0463005517200607e+08 4.0447431433905214e+08 4.0394787854577351e+08 4.0318416293331677e+08 4.0228464866479361e+08 4.0134306643407100e+08 4.0039107215992612e+08 3.9944609859646052e+08 3.9853828605508572e+08 3.9764915006691784e+08 3.9680452721117729e+08 3.9600017305897361e+08 3.9525201095288062e+08 3.9455151096439970e+08 3.9387751677941805e+08 3.9324233260106647e+08 3.9264029016834557e+08 3.9203950780101657e+08 3.9160378926068330e+08 3.9116038512812883e+08 3.9070647107811046e+08 3.9023048292752546e+08 3.8973928360316974e+08 3.8921634977420723e+08 3.8869187792794466e+08 3.8810076757060832e+08 3.8746819919415390e+08 3.8678254421959519e+08 3.8603472250303686e+08 3.8521369957629442e+08 3.8430704527515483e+08 3.8329438932059687e+08 3.8219038476197296e+08 3.8093544643941116e+08 3.7952851783352000e+08 3.7794919372657484e+08 3.7617551402659458e+08 3.7418483299268448e+08 3.7195443506335086e+08 3.6945677868020737e+08 3.6670739563973266e+08 3.6364107946116596e+08 3.6027564809622300e+08 3.5661888436881584e+08 3.5269946737249911e+08 3.4856619116763043e+08 3.4431192861933005e+08 3.4007265656098783e+08 3.3608588997286052e+08 3.3262059519904006e+08 3.3012921834510189e+08 3.2923050179922837e+08 3.3083113912204152e+08 3.3624324051704311e+08 3.4745560216686004e+08 3.6761499261410618e+08 4.0204482823373002e+08 3.0669658764962339e+08 +4.1839613204402166e+00 1.0195684347167242e+08 1.0195502115587495e+08 1.0195141824465838e+08 1.0194889578672524e+08 1.0195172974089757e+08 1.0196463914934862e+08 1.0198896878345647e+08 1.0202170815856530e+08 1.0206094501787543e+08 1.0210777037300287e+08 1.0216416761885732e+08 1.0223184002163517e+08 1.0231268664610340e+08 1.0240903608900332e+08 1.0252359389155617e+08 1.0265949386046456e+08 1.0282055206769854e+08 1.0301135935574226e+08 1.0323734032952765e+08 1.0350485845697765e+08 1.0382138363503379e+08 1.0419573881693661e+08 1.0463943718373884e+08 1.0517205015158087e+08 1.0581901893129858e+08 1.0659510880216885e+08 1.0751287222157799e+08 1.0859320673075899e+08 1.0986305999836172e+08 1.1135401724669118e+08 1.1310255379413562e+08 1.1515060068019511e+08 1.1754616231978785e+08 1.2034392935678197e+08 1.2360584511484875e+08 1.2740153461170964e+08 1.3180852695454620e+08 1.3691210275933573e+08 1.4280459895775130e+08 1.4958385230565393e+08 1.5797130996073732e+08 1.6762132210493794e+08 1.7864509548635474e+08 1.9112916398159719e+08 2.0511768123382673e+08 2.2059057526290846e+08 2.3743930830842069e+08 2.5544411410639298e+08 2.7425941599817371e+08 2.9341233264025122e+08 3.1231856841572094e+08 3.3036604704841238e+08 3.4699046617051435e+08 3.6168127134924257e+08 3.7410614794691837e+08 3.8414315084204644e+08 3.9185380856775367e+08 3.9745473592437774e+08 4.0124564369462556e+08 4.0358754555401450e+08 4.0479993503275067e+08 4.0519775745505595e+08 4.0500777020214677e+08 4.0445212900693226e+08 4.0366364835976171e+08 4.0274326056650221e+08 4.0178419997744477e+08 4.0081771730879092e+08 3.9986086988436425e+08 3.9894347550326961e+08 3.9804677790953791e+08 3.9719632394507068e+08 3.9638761702426964e+08 3.9563631939393049e+08 3.9493362151363981e+08 3.9425812475000721e+08 3.9362188893545800e+08 3.9301905426693404e+08 3.9241761187685007e+08 3.9198145454012680e+08 3.9153761661018902e+08 3.9108326392822969e+08 3.9060681785676569e+08 3.9011514659585166e+08 3.8959171863437617e+08 3.8906671857510942e+08 3.8847504018669885e+08 3.8784186378827560e+08 3.8715554958460450e+08 3.8640700867347002e+08 3.8558519594399601e+08 3.8467766924277508e+08 3.8366404674728554e+08 3.8255895542152399e+08 3.8130280883201236e+08 3.7989452536411315e+08 3.7831368011898690e+08 3.7653829182470858e+08 3.7454569289728147e+08 3.7231314586735582e+08 3.6981309042235392e+08 3.6706103464551455e+08 3.6399176326334238e+08 3.6062308820287865e+08 3.5696279979482442e+08 3.5303960478450930e+08 3.4890234428644556e+08 3.4464398073224699e+08 3.4040062926930320e+08 3.3640999840382552e+08 3.3294136355852294e+08 3.3044758582495201e+08 3.2954801127408588e+08 3.3115019402520281e+08 3.3656751299854642e+08 3.4779068594881374e+08 3.6796952681570739e+08 4.0243253664285892e+08 3.0624274498858857e+08 +4.1889296432144745e+00 1.0337188524880479e+08 1.0336990064584893e+08 1.0336602958698171e+08 1.0336316356095017e+08 1.0336567066305850e+08 1.0337840850447297e+08 1.0340278099099123e+08 1.0343567436454083e+08 1.0347507384581573e+08 1.0352205207467438e+08 1.0357860702441473e+08 1.0364644566070297e+08 1.0372746672876447e+08 1.0382400063178192e+08 1.0393875613229753e+08 1.0407486998546416e+08 1.0423616206777152e+08 1.0442722841700047e+08 1.0465349986913644e+08 1.0492134687167631e+08 1.0523824729981656e+08 1.0561303279150976e+08 1.0605722436859360e+08 1.0659040584252863e+08 1.0723805444810599e+08 1.0801495936576167e+08 1.0893367384243968e+08 1.1001510548994993e+08 1.1128621937243617e+08 1.1277861948208688e+08 1.1452879946154962e+08 1.1657870666186625e+08 1.1897635770046143e+08 1.2177644834412718e+08 1.2504091590172076e+08 1.2883936244374780e+08 1.3324926966354649e+08 1.3835583624569613e+08 1.4425127003793097e+08 1.5103321549401268e+08 1.5942297680600855e+08 1.6907421641864765e+08 1.8009749689875025e+08 1.9257851088567165e+08 2.0656036022864774e+08 2.2202172516996822e+08 2.3885268483518454e+08 2.5683207845845258e+08 2.7561311980840158e+08 2.9472214971673256e+08 3.1357480265802199e+08 3.3155980927403587e+08 3.4811459181857055e+08 3.6273111369895655e+08 3.7507995763553447e+08 3.8504206780985677e+08 3.9268142410911965e+08 3.9821642310903478e+08 4.0194781607584071e+08 4.0423698658389568e+08 4.0540331893686742e+08 4.0576132578352708e+08 4.0553719136119503e+08 4.0495243421281207e+08 4.0413926779326093e+08 4.0319807572563231e+08 4.0222159642648083e+08 4.0124067613221234e+08 4.0027199759793609e+08 3.9934505682158566e+08 3.9844082665377849e+08 3.9758456492119372e+08 3.9677152368270153e+08 3.9601710480829805e+08 3.9531222007655311e+08 3.9463522942156893e+08 3.9399794900536764e+08 3.9339432812117708e+08 3.9279223130329210e+08 3.9235563910186195e+08 3.9191137133530796e+08 3.9145658405862802e+08 3.9097968429355353e+08 3.9048754545688546e+08 3.8996362797900647e+08 3.8943810443863785e+08 3.8884586326637763e+08 3.8821208446191460e+08 3.8752511711719757e+08 3.8677586365186304e+08 3.8595326841116542e+08 3.8504487736218292e+08 3.8403029729463392e+08 3.8292412908405876e+08 3.8166678537546372e+08 3.8025715954486442e+08 3.7867480719225490e+08 3.7689772606223351e+08 3.7490322692917854e+08 3.7266855061765194e+08 3.7016611828026301e+08 3.6741141427054298e+08 3.6433921493294579e+08 3.6096732608389455e+08 3.5730354549164259e+08 3.5337660729890019e+08 3.4923539923997515e+08 3.4497297248704869e+08 3.4072557927163976e+08 3.3673111962518018e+08 3.3325917550352812e+08 3.3076301902910638e+08 3.2986259443374819e+08 3.3146630838069278e+08 3.3688879683341604e+08 3.4812268143077689e+08 3.6832079350688595e+08 4.0281667161038232e+08 3.0578839895686650e+08 +4.1938979659887323e+00 1.0478592557072966e+08 1.0478377876057369e+08 1.0477963884441362e+08 1.0477643039487813e+08 1.0477861103481537e+08 1.0479117712834984e+08 1.0481559207218820e+08 1.0484863878823911e+08 1.0488820013830902e+08 1.0493533037860692e+08 1.0499204201991199e+08 1.0506004569219422e+08 1.0514123979384002e+08 1.0523795649305554e+08 1.0535290773281276e+08 1.0548923316260518e+08 1.0565075639948356e+08 1.0584207860084954e+08 1.0606863674340038e+08 1.0633680814664692e+08 1.0665407853998515e+08 1.0702928809889044e+08 1.0747396549663867e+08 1.0800770661918253e+08 1.0865602429159437e+08 1.0943373133755700e+08 1.1035338158805597e+08 1.1143589237770352e+08 1.1270824571306397e+08 1.1420206382284121e+08 1.1595385805775629e+08 1.1800559136890918e+08 1.2040529176006202e+08 1.2320765918834476e+08 1.2647462388874839e+08 1.3027576379161024e+08 1.3468851184689981e+08 1.3979798334670436e+08 1.4569625548037550e+08 1.5248077874935657e+08 1.6087270225085667e+08 1.7052500666027877e+08 1.8154760881159401e+08 1.9402535927057907e+08 2.0800030843948168e+08 2.2344989088669303e+08 2.4026280710276681e+08 2.5821650918711099e+08 2.7696301176072091e+08 2.9602789089281285e+08 3.1482672558259290e+08 3.3274906700006539e+08 3.4923407235263622e+08 3.6377622814945132e+08 3.7604901356882310e+08 3.8593625538916528e+08 3.9350437434935033e+08 3.9897353668906081e+08 4.0264552263668686e+08 4.0488207594631195e+08 4.0600246459014761e+08 4.0632076367251098e+08 4.0606258155063927e+08 4.0544879805438179e+08 4.0461102523878938e+08 4.0364909822717780e+08 4.0265525992378736e+08 4.0165995281511790e+08 4.0067948595176423e+08 3.9974303424512970e+08 3.9883130054777020e+08 3.9796925439538014e+08 3.9715189729226208e+08 3.9639437145454633e+08 3.9568731090794003e+08 3.9500883504488295e+08 3.9437051705650407e+08 3.9376611597092688e+08 3.9316337031365198e+08 3.9272634717468607e+08 3.9228165352763647e+08 3.9182643568866730e+08 3.9134908645190692e+08 3.9085648439463800e+08 3.9033208201042068e+08 3.8980603971495169e+08 3.8921324100042558e+08 3.8857886539922905e+08 3.8789125099393028e+08 3.8714129160720056e+08 3.8631792113758945e+08 3.8540867378334385e+08 3.8439314510215098e+08 3.8328590987608486e+08 3.8202738018287718e+08 3.8061642447312665e+08 3.7903257902773708e+08 3.7725382080199450e+08 3.7525743912921154e+08 3.7302065333029056e+08 3.7051586624355316e+08 3.6775853847503257e+08 3.6468343839725316e+08 3.6130836563003039e+08 3.5764112531059527e+08 3.5371047872426742e+08 3.4956535979146099e+08 3.4529890760182130e+08 3.4104751024029279e+08 3.3704925726662672e+08 3.3357403462567216e+08 3.3107552152239376e+08 3.3017425483369434e+08 3.3177948576120001e+08 3.3720709565268874e+08 3.4845159236477160e+08 3.6866879665697253e+08 4.0319723747741318e+08 3.0533355624729848e+08 +4.1988662887629902e+00 1.0619894300254542e+08 1.0619663306790206e+08 1.0619222612611033e+08 1.0618867473709086e+08 1.0619052940266034e+08 1.0620292355319744e+08 1.0622738054557703e+08 1.0626057994814232e+08 1.0630030241429266e+08 1.0634758380191642e+08 1.0640445112165648e+08 1.0647261863169734e+08 1.0655398435577640e+08 1.0665088218659869e+08 1.0676602720625520e+08 1.0690256190448131e+08 1.0706431357488801e+08 1.0725588841933572e+08 1.0748272946387459e+08 1.0775122079349233e+08 1.0806885586718938e+08 1.0844448325136380e+08 1.0888963908086212e+08 1.0942393099572831e+08 1.1007290697752626e+08 1.1085140323566337e+08 1.1177197397953631e+08 1.1285554591906011e+08 1.1412911755053616e+08 1.1562432880704248e+08 1.1737770813060172e+08 1.1943123336267565e+08 1.2183294307819225e+08 1.2463754049359740e+08 1.2790694771336870e+08 1.3171071733744898e+08 1.3612623224701473e+08 1.4123852288585329e+08 1.4713953421664509e+08 1.5392652114797354e+08 1.6232046558027384e+08 1.7197367239697111e+08 1.8299541116886008e+08 1.9546968957962149e+08 2.0943750696259940e+08 2.2487505434911212e+08 2.4166965810521567e+08 2.5959739058689857e+08 2.7830907770176154e+08 2.9732954380106002e+08 3.1607432679666758e+08 3.3393381192006004e+08 3.5034890156317061e+08 3.6481661049619317e+08 3.7701331336109143e+08 3.8682571276309091e+08 3.9432265976475418e+08 3.9972607816238499e+08 4.0333876565549934e+08 4.0552281649786353e+08 4.0659737527084345e+08 4.0687607470294970e+08 4.0658394456793553e+08 4.0594122448385769e+08 4.0507892475732297e+08 4.0409633221186614e+08 4.0308519466741592e+08 4.0207555159567684e+08 4.0108333921227735e+08 4.0013741205973232e+08 3.9921820389015156e+08 3.9835039667298961e+08 3.9752874216065782e+08 3.9676812363950646e+08 3.9605889831210613e+08 3.9537894591951329e+08 3.9473959738246828e+08 3.9413442210365957e+08 3.9353103318962097e+08 3.9309358303516495e+08 3.9264846745874333e+08 3.9219282308493650e+08 3.9171502859374744e+08 3.9122196766534197e+08 3.9069708498036200e+08 3.9017052864984274e+08 3.8957717762764847e+08 3.8894221083173329e+08 3.8825395543940490e+08 3.8750329675503296e+08 3.8667915833000040e+08 3.8576906270299429e+08 3.8475259435601753e+08 3.8364430197218311e+08 3.8238459741526294e+08 3.8097232429485196e+08 3.7938699975340158e+08 3.7760658015205103e+08 3.7560833358436143e+08 3.7336945806793761e+08 3.7086233834708804e+08 3.6810241126376814e+08 3.6502443762722164e+08 3.6164621077576774e+08 3.5797554314653593e+08 3.5404122291252738e+08 3.4989222974845076e+08 3.4562178983739001e+08 3.4136642588965303e+08 3.3736441499830788e+08 3.3388594455799234e+08 3.3138509690972376e+08 3.3048299606934869e+08 3.3208972977958453e+08 3.3752241312899351e+08 3.4877742254571480e+08 3.6901354028047156e+08 4.0357423863578665e+08 3.0487822352984214e+08 +4.2038346115372480e+00 1.0761091594992222e+08 1.0760844413139243e+08 1.0760376842606276e+08 1.0759987538978142e+08 1.0760140425103843e+08 1.0761362639310426e+08 1.0763812500527696e+08 1.0767147644191185e+08 1.0771135927300638e+08 1.0775879094204609e+08 1.0781581292663853e+08 1.0788414307492410e+08 1.0796567900956763e+08 1.0806275630650760e+08 1.0817809314602137e+08 1.0831483480416319e+08 1.0847681218670160e+08 1.0866863646487944e+08 1.0889575662304108e+08 1.0916456340492530e+08 1.0948255787456074e+08 1.0985859684238279e+08 1.1030422371563141e+08 1.1083905756808111e+08 1.1148868110391566e+08 1.1226795366061124e+08 1.1318942962081437e+08 1.1427404472262701e+08 1.1554881349948713e+08 1.1704539305713290e+08 1.1880032831361116e+08 1.2085561129109699e+08 1.2325929032214737e+08 1.2606607095323239e+08 1.2933786610340300e+08 1.3314420185570064e+08 1.3756240970040515e+08 1.4267743378259912e+08 1.4858108527741331e+08 1.5537042186793327e+08 1.6376624618498328e+08 1.7342019330478856e+08 1.8444088402808005e+08 1.9691148237462556e+08 2.1087193701686659e+08 2.2629719762054259e+08 2.4307322096827725e+08 2.6097470708787596e+08 2.7965130361555183e+08 2.9862709621279383e+08 3.1731759604511696e+08 3.3511403585994661e+08 3.5145907336973989e+08 3.6585225665557557e+08 3.7797285473811424e+08 3.8771043921901536e+08 3.9513628092692047e+08 4.0047404911472631e+08 4.0402754749120927e+08 4.0615921117095214e+08 4.0718805432763600e+08 4.0742726252223802e+08 4.0710128427297807e+08 4.0642971751170051e+08 4.0554297046816897e+08 4.0453978187494695e+08 4.0351140490783274e+08 4.0248747676430380e+08 4.0148356169798452e+08 4.0052819460276526e+08 3.9960154102945930e+08 3.9872799610870183e+08 3.9790206264539814e+08 3.9713836571912718e+08 3.9642698664211088e+08 3.9574556639340204e+08 3.9510519432554692e+08 3.9449925085614121e+08 3.9389522426084042e+08 3.9345735100853926e+08 3.9301181744930804e+08 3.9255575056325012e+08 3.9207751502890754e+08 3.9158399957400042e+08 3.9105864118672842e+08 3.9053157553599018e+08 3.8993767743421757e+08 3.8930212503939158e+08 3.8861323472509742e+08 3.8786188335962325e+08 3.8703698424299115e+08 3.8612604836633945e+08 3.8510864928937179e+08 3.8399930959339225e+08 3.8273844127934968e+08 3.8132486320131779e+08 3.7973807354333484e+08 3.7795600826742351e+08 3.7595591442711914e+08 3.7371496893878603e+08 3.7120553867159832e+08 3.6844303668712395e+08 3.6536221663960069e+08 3.6198086550082946e+08 3.5830680293823844e+08 3.5436884375895840e+08 3.5021601296055132e+08 3.4594162299625373e+08 3.4168232997561508e+08 3.3767659653264701e+08 3.3419490897435051e+08 3.3169174883823985e+08 3.3078882177723730e+08 3.3239704409014034e+08 3.3783475297546965e+08 3.4910017581073928e+08 3.6935502843824100e+08 4.0394767952524716e+08 3.0442240745155990e+08 +4.2088029343115059e+00 1.0902182339331391e+08 1.0901918832008383e+08 1.0901424589738846e+08 1.0901001069157158e+08 1.0901121415985371e+08 1.0902326433455066e+08 1.0904780412326972e+08 1.0908130694780712e+08 1.0912134939363040e+08 1.0916893047709560e+08 1.0922610611222000e+08 1.0929459769835535e+08 1.0937630243053973e+08 1.0947355752788177e+08 1.0958908422660874e+08 1.0972603053566715e+08 1.0988823090873089e+08 1.1008030141103241e+08 1.1030769689449152e+08 1.1057681465463400e+08 1.1089516323635833e+08 1.1127160754708436e+08 1.1171769807732639e+08 1.1225306501422665e+08 1.1290332535105108e+08 1.1368336129564688e+08 1.1460572719893210e+08 1.1569136748032603e+08 1.1696731225866555e+08 1.1846523528078169e+08 1.2022169732586557e+08 1.2227870388887729e+08 1.2468431224698961e+08 1.2749322934934932e+08 1.3076735787730367e+08 1.3457619621283972e+08 1.3899702313794500e+08 1.4411469505308041e+08 1.5002088779226208e+08 1.5681246018926087e+08 1.6521002356091321e+08 1.7486454916933689e+08 1.8588400756034988e+08 1.9835071833482125e+08 2.1230357994439390e+08 2.2771630289169034e+08 2.4447347894966307e+08 2.6234844325535035e+08 2.8098967562309581e+08 2.9992053603733486e+08 3.1855652320870596e+08 3.3628973078049839e+08 3.5256458181926036e+08 3.6688316266401714e+08 3.7892763553959811e+08 3.8859043414849252e+08 3.9594523850304341e+08 4.0121745121979892e+08 4.0471187058285081e+08 4.0679126297180384e+08 4.0777450517832834e+08 4.0797433084228677e+08 4.0761460458648610e+08 4.0691428120800114e+08 4.0600316654614180e+08 4.0497945146719754e+08 4.0393389494979328e+08 4.0289573266347682e+08 4.0188015777756578e+08 4.0091538626111406e+08 3.9998131636374044e+08 3.9910205710662609e+08 3.9827186315172344e+08 3.9750510209821266e+08 3.9679158029902577e+08 3.9610870086267710e+08 3.9546731227667487e+08 3.9486060661235434e+08 3.9425594790541553e+08 3.9381765546823603e+08 3.9337170786720991e+08 3.9291522248625654e+08 3.9243655011531019e+08 3.9194258447245157e+08 3.9141675497581667e+08 3.9088918471385020e+08 3.9029474475446761e+08 3.8965861234865558e+08 3.8896909317032087e+08 3.8821705573136151e+08 3.8739140317889678e+08 3.8647963506501961e+08 3.8546131418245476e+08 3.8435093700756431e+08 3.8308891602952719e+08 3.8167404543061543e+08 3.8008580461829293e+08 3.7830210934866005e+08 3.7630018583590454e+08 3.7405719009609592e+08 3.7154547134226185e+08 3.6878041883985293e+08 3.6569677949494123e+08 3.6231233382778907e+08 3.5863490866776091e+08 3.5469334520279109e+08 3.5053671332027221e+08 3.4625841092346066e+08 3.4199522629565132e+08 3.3798580562242955e+08 3.3450093158875674e+08 3.3199548099392456e+08 3.3109173563370711e+08 3.3270143238678116e+08 3.3814411894732618e+08 3.4941985604027086e+08 3.6969326523523545e+08 4.0431756463610685e+08 3.0396611463660675e+08 +4.2137712570857637e+00 1.1043164310513319e+08 1.1042884615000811e+08 1.1042363642005846e+08 1.1041905985942248e+08 1.1041993790505184e+08 1.1043181612932678e+08 1.1045639665274145e+08 1.1049005022444750e+08 1.1053025153654274e+08 1.1057798116632038e+08 1.1063530943669316e+08 1.1070396125920118e+08 1.1078583337545566e+08 1.1088326460654581e+08 1.1099897920339185e+08 1.1113612785396244e+08 1.1129854849568725e+08 1.1149086201266764e+08 1.1171852903311244e+08 1.1198795329824120e+08 1.1230665070850152e+08 1.1268349412251987e+08 1.1313004092424910e+08 1.1366593209459284e+08 1.1431681848186304e+08 1.1509760490698043e+08 1.1602084548436438e+08 1.1710749296834965e+08 1.1838459261133812e+08 1.1988383427071929e+08 1.2164179397264263e+08 1.2370048997751443e+08 1.2610798769583084e+08 1.2891899455353843e+08 1.3219540194429462e+08 1.3600667936814094e+08 1.4043005158488238e+08 1.4555028581047484e+08 1.5145892099029517e+08 1.5825261549425608e+08 1.6665177730962369e+08 1.7630671988568875e+08 1.8732476205079275e+08 1.9978737825846329e+08 2.1373241721001557e+08 2.2913235248081890e+08 2.4587041543800175e+08 2.6371858378958717e+08 2.8232417998371923e+08 3.0120985132185495e+08 3.1979109830588293e+08 3.3746088877447402e+08 3.5366542108581239e+08 3.6790932467900562e+08 3.7987765371580130e+08 3.8946569704545957e+08 3.9674953325511444e+08 4.0195628623745728e+08 4.0539173744973665e+08 4.0741897498070639e+08 4.0835673130975610e+08 4.0851728344073153e+08 4.0812390949244505e+08 4.0739491970205867e+08 4.0645951722408623e+08 4.0541534529394376e+08 4.0435266915021247e+08 4.0330032368770188e+08 4.0227313187096304e+08 4.0129899147223419e+08 4.0035753434024918e+08 3.9947258411936736e+08 3.9863814813362437e+08 3.9786833722928333e+08 3.9715268373190039e+08 3.9646835377146977e+08 3.9582595567312729e+08 3.9521849380412555e+08 3.9461320854836792e+08 3.9417450083410805e+08 3.9372814312746531e+08 3.9327124326455694e+08 3.9279213825766659e+08 3.9229772675991452e+08 3.9177143074177802e+08 3.9124336057110041e+08 3.9064838396864289e+08 3.9001167713319212e+08 3.8932153514108902e+08 3.8856881822785056e+08 3.8774241948542517e+08 3.8682982713616043e+08 3.8581059336194652e+08 3.8469918852903563e+08 3.8343602596533835e+08 3.8201987526705396e+08 3.8043019724460500e+08 3.7864488764179027e+08 3.7664115203482354e+08 3.7439612573859644e+08 3.7188214052982807e+08 3.6911456186148626e+08 3.6602813029830307e+08 3.6264061982380104e+08 3.5895986436116546e+08 3.5501473122441441e+08 3.5085433476214528e+08 3.4657215750522673e+08 3.4230511868824023e+08 3.3829204606146741e+08 3.3480401615586805e+08 3.3229629710344356e+08 3.3139174135509723e+08 3.3300289840447551e+08 3.3845051483955735e+08 3.4973646715611672e+08 3.7002825482071054e+08 4.0468389850599587e+08 3.0350935168621993e+08 +4.2187395798600216e+00 1.1184035464792389e+08 1.1183739544778019e+08 1.1183191891168028e+08 1.1182700178911254e+08 1.1182755438838495e+08 1.1183926060058999e+08 1.1186388143154323e+08 1.1189768511256397e+08 1.1193804454268683e+08 1.1198592185007559e+08 1.1204340173933721e+08 1.1211221259623189e+08 1.1219425068171766e+08 1.1229185637987383e+08 1.1240775691314611e+08 1.1254510559565523e+08 1.1270774378396432e+08 1.1290029710627817e+08 1.1312823187580027e+08 1.1339795817285679e+08 1.1371699912920700e+08 1.1409423540791738e+08 1.1454123109719555e+08 1.1507763765200651e+08 1.1572913934224071e+08 1.1651066334413806e+08 1.1743476333123696e+08 1.1852240004684652e+08 1.1980063342560671e+08 1.2130116890520489e+08 1.2306059714541984e+08 1.2512094846584266e+08 1.2753029560020965e+08 1.3034334552715856e+08 1.3362197730488038e+08 1.3743563037360689e+08 1.4186147416134918e+08 1.4698418526456055e+08 1.5289516419980365e+08 1.5969086726786965e+08 1.6809148713864040e+08 1.7774668545857605e+08 1.8876312789789325e+08 2.0122144306153563e+08 2.1515843040089235e+08 2.3054532883326197e+08 2.4726401395414746e+08 2.6508511352575144e+08 2.8365480309323579e+08 3.0249503025151247e+08 3.2102131149012452e+08 3.3862750206810731e+08 3.5476158547112584e+08 3.6893073897730088e+08 3.8082290732910413e+08 3.9033622750698131e+08 3.9754916603909224e+08 4.0269055601458073e+08 4.0606715069114017e+08 4.0804235035233599e+08 4.0893473627720678e+08 4.0905612415979642e+08 4.0862920303468978e+08 4.0787163718046433e+08 4.0691202678930813e+08 4.0584746771492863e+08 4.0476773191988659e+08 4.0370125428280491e+08 4.0266248844895262e+08 4.0167901472244370e+08 4.0073019945586735e+08 3.9983958164867121e+08 3.9900092209380621e+08 3.9822807561285818e+08 3.9751030143735194e+08 3.9682452961071718e+08 3.9618112900052786e+08 3.9557291691030937e+08 3.9496701066214699e+08 3.9452789157395172e+08 3.9408112769319648e+08 3.9362381735482395e+08 3.9314428390788019e+08 3.9264943088326919e+08 3.9212267292403895e+08 3.9159410754210818e+08 3.9099859950488901e+08 3.9036132381383818e+08 3.8967056505005664e+08 3.8891717525314170e+08 3.8809003755715579e+08 3.8717662896493834e+08 3.8615649120045036e+08 3.8504406851778126e+08 3.8377977543301713e+08 3.8236235704061174e+08 3.8077125573385608e+08 3.7898434743888551e+08 3.7697881729230404e+08 3.7473178011009365e+08 3.7221555044941640e+08 3.6944546993581694e+08 3.6635627319796157e+08 3.6296572759908623e+08 3.5928167408609927e+08 3.5533300584862578e+08 3.5116888126271373e+08 3.4688286667029881e+08 3.4261201103328812e+08 3.3859532168413496e+08 3.3510416647080326e+08 3.3259420093292147e+08 3.3168884269761914e+08 3.3330144591697681e+08 3.3875394448885262e+08 3.5005001312244284e+08 3.7036000138876873e+08 4.0504668572225618e+08 3.0305212517870772e+08 +4.2237079026342794e+00 1.1324793618369931e+08 1.1324481604992294e+08 1.1323907396133427e+08 1.1323381506099890e+08 1.1323404255622068e+08 1.1324557666077971e+08 1.1327023738331132e+08 1.1330419053507735e+08 1.1334470733447281e+08 1.1339273145037238e+08 1.1345036194115502e+08 1.1351933062912011e+08 1.1360153326884742e+08 1.1369931176666826e+08 1.1381539627424543e+08 1.1395294267879555e+08 1.1411579569184397e+08 1.1430858561007659e+08 1.1453678434118687e+08 1.1480680819790937e+08 1.1512618741867903e+08 1.1550381032477428e+08 1.1595124751945801e+08 1.1648816061230241e+08 1.1714026686139078e+08 1.1792251554028873e+08 1.1884745967798181e+08 1.1993606766064940e+08 1.2121541365466872e+08 1.2271721814837795e+08 1.2447808582241637e+08 1.2654005835027365e+08 1.2895121498023652e+08 1.3176626132128888e+08 1.3504706305065548e+08 1.3886302837417343e+08 1.4329127008226252e+08 1.4841637272256386e+08 1.5432959684914878e+08 1.6112719509705448e+08 1.6952913286154488e+08 1.7918442600265667e+08 1.9019908561447528e+08 2.0265289377853319e+08 2.1658160122801375e+08 2.3195521452233544e+08 2.4865425814977252e+08 2.6644801743342397e+08 2.8498153148414862e+08 3.0377606114841789e+08 3.2224715305186158e+08 3.3978956301809680e+08 3.5585306940246087e+08 3.6994740195418042e+08 3.8176339455276209e+08 3.9120202523217219e+08 3.9834413780428618e+08 4.0342026248336881e+08 4.0673811298396730e+08 4.0866139231384349e+08 4.0950852370500046e+08 4.0959085690474677e+08 4.0913048931783801e+08 4.0834443788843232e+08 4.0736069958694506e+08 4.0627582314330989e+08 4.0517908772104478e+08 4.0409852894565284e+08 4.0304823203164005e+08 4.0205546054785264e+08 4.0109931625565189e+08 4.0020305424361223e+08 3.9936018958214235e+08 3.9858432179687101e+08 3.9786443796000057e+08 3.9717723291962671e+08 3.9653283679162174e+08 3.9592388045773584e+08 3.9531735876625407e+08 3.9487783220180553e+08 3.9443066607362044e+08 3.9397294926177031e+08 3.9349299156467849e+08 3.9299770133482540e+08 3.9247048601015431e+08 3.9194143010786366e+08 3.9134539583732426e+08 3.9070755685711050e+08 3.9001618735605729e+08 3.8926213125772965e+08 3.8843426183485907e+08 3.8752004498142254e+08 3.8649901211647081e+08 3.8538558138012493e+08 3.8412016882423109e+08 3.8270149512640631e+08 3.8110898444310027e+08 3.7932049307626599e+08 3.7731318592238140e+08 3.7506415749784750e+08 3.7254570535976464e+08 3.6977314728999895e+08 3.6668121238615358e+08 3.6328766130659139e+08 3.5960034195420784e+08 3.5564817314032835e+08 3.5148035684032786e+08 3.4719054238725436e+08 3.4291590725129497e+08 3.3889563636478418e+08 3.3540138636749512e+08 3.3288919628831154e+08 3.3198304345616746e+08 3.3359707873824733e+08 3.3905441177090710e+08 3.5036049794478983e+08 3.7068850917727995e+08 4.0540593091936415e+08 3.0259444166944051e+08 +4.2286762254085373e+00 1.1465436863031368e+08 1.1465108638658796e+08 1.1464507768723279e+08 1.1463947874147673e+08 1.1463938139166452e+08 1.1465074331903133e+08 1.1467544351714362e+08 1.1470954549796332e+08 1.1475021891583316e+08 1.1479838897111708e+08 1.1485616904460382e+08 1.1492529435998701e+08 1.1500766013788643e+08 1.1510560976786175e+08 1.1522187628704838e+08 1.1535961810372640e+08 1.1552268321953668e+08 1.1571570652462903e+08 1.1594416543029638e+08 1.1621448237519741e+08 1.1653419457990755e+08 1.1691219787739843e+08 1.1736006919740838e+08 1.1789747998457581e+08 1.1855018005167474e+08 1.1933314051226139e+08 1.2025891354683940e+08 1.2134847483924662e+08 1.2262891233713253e+08 1.2413196105030361e+08 1.2589423906865321e+08 1.2795779871499871e+08 1.3037072494499962e+08 1.3318772107732935e+08 1.3647063836504477e+08 1.4028885260813487e+08 1.4471941865792838e+08 1.4984682758890766e+08 1.5576219846648324e+08 1.6256157867196742e+08 1.7096469439775199e+08 1.8061992174217299e+08 1.9163261582712424e+08 2.0408171156231305e+08 2.1800191152430579e+08 2.3336199224794304e+08 2.5004113180863249e+08 2.6780728061743930e+08 2.8630435182566071e+08 3.0505293247138900e+08 3.2346861341552156e+08 3.4094706411433476e+08 3.5693986743332469e+08 3.7095931012486017e+08 3.8269911366985625e+08 3.9206309002190018e+08 3.9913444959423542e+08 4.0414540766238314e+08 4.0740462708550984e+08 4.0927610416525441e+08 4.1007809728436029e+08 4.1012148564565825e+08 4.0962777250805295e+08 4.0881332612923247e+08 4.0780554001514548e+08 4.0670041604577494e+08 4.0558674106818843e+08 4.0449215222398758e+08 4.0343036718944687e+08 4.0242833353382683e+08 4.0146488933271563e+08 4.0056300650172180e+08 3.9971595519610798e+08 3.9893708037644660e+08 3.9821509789037639e+08 3.9752646828338474e+08 3.9688108362513036e+08 3.9627138901834571e+08 3.9566425742666197e+08 3.9522432727935964e+08 3.9477676282412595e+08 3.9431864353544688e+08 3.9383826577274162e+08 3.9334254265426391e+08 3.9281487453293955e+08 3.9228533279518259e+08 3.9168877748562688e+08 3.9105038077573627e+08 3.9035840656376624e+08 3.8960369073756409e+08 3.8877509680525923e+08 3.8786007966161072e+08 3.8683816057450980e+08 3.8572373156670982e+08 3.8445721057508689e+08 3.8303729394446188e+08 3.8144338777455670e+08 3.7965332893529612e+08 3.7764426228286266e+08 3.7539326223448676e+08 3.7287260956390518e+08 3.7009759819524938e+08 3.6700295209841132e+08 3.6360642514274162e+08 3.5991587211931318e+08 3.5596023720811045e+08 3.5178876555469030e+08 3.4749518866671365e+08 3.4321681130278718e+08 3.3919299401779878e+08 3.3569567972031879e+08 3.3318128701469743e+08 3.3227434746570724e+08 3.3388980072143710e+08 3.3935192060220104e+08 3.5066792566950589e+08 3.7101378246769011e+08 4.0576163878018528e+08 3.0213630769084191e+08 +4.2336445481827951e+00 1.1605962849209160e+08 1.1605618599392459e+08 1.1604991073935118e+08 1.1604397184029166e+08 1.1604354996747926e+08 1.1605473966867784e+08 1.1607947892608450e+08 1.1611372909006636e+08 1.1615455837249599e+08 1.1620287349812467e+08 1.1626080213432522e+08 1.1633008287234527e+08 1.1641261037183148e+08 1.1651072946621579e+08 1.1662717603403494e+08 1.1676511095281044e+08 1.1692838544955011e+08 1.1712163893299305e+08 1.1735035422654185e+08 1.1762095978906772e+08 1.1794099969839033e+08 1.1831937715313189e+08 1.1876767522051927e+08 1.1930557486137183e+08 1.1995885800953326e+08 1.2074251736119922e+08 1.2166910404496422e+08 1.2275960069721742e+08 1.2404110859710945e+08 1.2554537674739072e+08 1.2730903603606109e+08 1.2937414873196891e+08 1.3178880469232991e+08 1.3460770402652302e+08 1.3789268252314937e+08 1.4171308240728757e+08 1.4614589929390699e+08 1.5127552936568013e+08 1.5719294867997900e+08 1.6399399778517354e+08 1.7239815177299166e+08 1.8205315301159737e+08 1.9306369927645960e+08 2.0550787768415439e+08 2.1941934324633411e+08 2.3476564483733016e+08 2.5142461884468639e+08 2.6916288831630391e+08 2.8762325092363387e+08 3.0632563281616926e+08 3.2468568314156020e+08 3.4209999797730714e+08 3.5802197424296409e+08 3.7196646012142569e+08 3.8363006307328397e+08 3.9291942177787131e+08 3.9992010254409373e+08 4.0486599365395772e+08 4.0806669582980871e+08 4.0988648927899367e+08 4.1064346077432102e+08 4.1064801441572016e+08 4.1012105683014333e+08 4.0927830626260895e+08 4.0824655252850652e+08 4.0712125094253820e+08 4.0599069652779752e+08 4.0488212871606177e+08 4.0380889854208153e+08 4.0279763831368339e+08 4.0182692332897484e+08 4.0091944306754041e+08 4.0006822358072895e+08 3.9928635599411172e+08 3.9856228586631960e+08 3.9787224033379978e+08 3.9722587412691015e+08 3.9661544721150994e+08 3.9600771125553232e+08 3.9556738141312069e+08 3.9511942254684478e+08 3.9466090477295995e+08 3.9418011112337309e+08 3.9368395942626458e+08 3.9315584307128322e+08 3.9262582017699635e+08 3.9202874901613635e+08 3.9138980012809104e+08 3.9069722722371250e+08 3.8994185823376483e+08 3.8911254700069040e+08 3.8819673752636653e+08 3.8717394108344710e+08 3.8605852357464677e+08 3.8479090516723371e+08 3.8336975796052891e+08 3.8177447017444330e+08 3.7998285944127166e+08 3.7797205077606708e+08 3.7571909869526547e+08 3.7319626740834564e+08 3.7041882696558636e+08 3.6732149661239219e+08 3.6392202334585160e+08 3.6022826877620482e+08 3.5626920220086229e+08 3.5209411150663793e+08 3.4779680955923444e+08 3.4351472718867475e+08 3.3948739859721637e+08 3.3598705044244564e+08 3.3347047699569327e+08 3.3256275859926051e+08 3.3417961575882167e+08 3.3964647493849701e+08 3.5097230038438839e+08 3.7133582558512872e+08 4.0611381403493541e+08 3.0167772975237924e+08 +4.2386128709570530e+00 1.1746369763478382e+08 1.1746009342035288e+08 1.1745355187984255e+08 1.1744727351585290e+08 1.1744652747518490e+08 1.1745754487688239e+08 1.1748232278523427e+08 1.1751672048323633e+08 1.1755770487261188e+08 1.1760616419973664e+08 1.1766424037717986e+08 1.1773367533250466e+08 1.1781636313649458e+08 1.1791465002707046e+08 1.1803127468035157e+08 1.1816940039110325e+08 1.1833288154726171e+08 1.1852636200061186e+08 1.1875532989640675e+08 1.1902621960692221e+08 1.1934658194304204e+08 1.1972532732269166e+08 1.2017404476178645e+08 1.2071242441878963e+08 1.2136627991517110e+08 1.2215062527253740e+08 1.2307801036407642e+08 1.2416942443439874e+08 1.2545198164462146e+08 1.2695744446259061e+08 1.2872245596409631e+08 1.3078908766179743e+08 1.3320543350978209e+08 1.3602618949135107e+08 1.3931317489205053e+08 1.4313569719702983e+08 1.4757069149138942e+08 1.5270245765285584e+08 1.5862182721781754e+08 1.6542443233282942e+08 1.7382948511968786e+08 1.8348410025533494e+08 1.9449231681750494e+08 2.0693137353368542e+08 2.2083387847284675e+08 2.3616615524523124e+08 2.5280470330370551e+08 2.7051482590321493e+08 2.8893821571931469e+08 3.0759415091507387e+08 3.2589835292441159e+08 3.4324835735804397e+08 3.5909938463491011e+08 3.7296884869421750e+08 3.8455624126533264e+08 3.9377102050277776e+08 4.0070109788228637e+08 4.0558202264612591e+08 4.0872432212937433e+08 4.1049255109919053e+08 4.1120461800091827e+08 4.1117044731064445e+08 4.1061034656868500e+08 4.0973938270562613e+08 4.0868374163599759e+08 4.0753833240663612e+08 4.0639095871677756e+08 4.0526846306970906e+08 4.0418383075826776e+08 4.0316337956936407e+08 4.0218542293328071e+08 4.0127236863349551e+08 4.0041699942698568e+08 3.9963215333808362e+08 3.9890600657188702e+08 3.9821455374929929e+08 3.9756721296855754e+08 3.9695605970251977e+08 3.9634772491110587e+08 3.9590699925596648e+08 3.9545864988969171e+08 3.9499973761624825e+08 3.9451853225299859e+08 3.9402195628204483e+08 3.9349339624989074e+08 3.9296289687194663e+08 3.9236531503984600e+08 3.9172581951859498e+08 3.9103265393152839e+08 3.9027663833397830e+08 3.8944661699732333e+08 3.8853002314238995e+08 3.8750635819776738e+08 3.8638996194488263e+08 3.8512125712760341e+08 3.8369889168337268e+08 3.8210223613332045e+08 3.8030908906431067e+08 3.7829655584793079e+08 3.7604167130058998e+08 3.7351668328296965e+08 3.7073683795857513e+08 3.6763685024926257e+08 3.6423446019719493e+08 3.6053753616283417e+08 3.5657507230977994e+08 3.5239639883771330e+08 3.4809540915565836e+08 3.4380965894959182e+08 3.3977885409622550e+08 3.3627550248592752e+08 3.3375677015381765e+08 3.3284828076906240e+08 3.3446652778106958e+08 3.3993807877473789e+08 3.5127362621844435e+08 3.7165464289722651e+08 4.0646246146003091e+08 3.0121871434055740e+08 +4.2435811937313108e+00 1.1886655267929439e+08 1.1886278730049381e+08 1.1885598104791239e+08 1.1884936295352344e+08 1.1884829313780308e+08 1.1885913819583875e+08 1.1888395435088782e+08 1.1891849893213908e+08 1.1895963766661845e+08 1.1900824032639574e+08 1.1906646302242003e+08 1.1913605098933898e+08 1.1921889767996044e+08 1.1931735069846980e+08 1.1943415147377898e+08 1.1957246566647749e+08 1.1973615076069547e+08 1.1992985497637033e+08 1.2015907168915942e+08 1.2043024107944910e+08 1.2075092056577787e+08 1.2113002763998225e+08 1.2157915707786751e+08 1.2211800791699412e+08 1.2277242503325126e+08 1.2355744351620498e+08 1.2448561178107595e+08 1.2557792533622457e+08 1.2686151077572389e+08 1.2836814350562045e+08 1.3013447817970008e+08 1.3220259485341187e+08 1.3462059077442747e+08 1.3744315688469127e+08 1.4073209493118370e+08 1.4455667649668339e+08 1.4899377484751153e+08 1.5412759214803064e+08 1.6004881390912238e+08 1.6685286231380159e+08 1.7525867467644531e+08 1.8491274402824435e+08 1.9591844941911760e+08 2.0835218061915964e+08 2.2224549940590301e+08 2.3756350655340669e+08 2.5418136936207286e+08 2.7186307888483435e+08 2.9024923329032254e+08 3.0885847563587046e+08 3.2710661359321249e+08 3.4439213513859767e+08 3.6017209353833187e+08 3.7396647271028584e+08 3.8547764685757130e+08 3.9461788629931659e+08 4.0147743692773443e+08 4.0629349690979356e+08 4.0937750897355127e+08 4.1109429314147449e+08 4.1176157285648775e+08 4.1168878848872739e+08 4.1109564606863362e+08 4.1019655993147260e+08 4.0911711190068161e+08 4.0795166506287700e+08 4.0678753230416751e+08 4.0565115998350316e+08 4.0455516855504197e+08 4.0352556203077322e+08 4.0254039288219792e+08 4.0162178793838394e+08 4.0076228747289413e+08 3.9997447714310050e+08 3.9924626473703945e+08 3.9855341325351351e+08 3.9790510486745185e+08 3.9729323120166618e+08 3.9668430309657639e+08 3.9624318550700486e+08 3.9579444954551876e+08 3.9533514675295305e+08 3.9485353384399015e+08 3.9435653789798957e+08 3.9382753873898917e+08 3.9329656754348189e+08 3.9269848021380973e+08 3.9205844359550369e+08 3.9136469132801646e+08 3.9060803566934139e+08 3.8977731141777903e+08 3.8885994112054545e+08 3.8783541651608610e+08 3.8671805126289105e+08 3.8544827102625209e+08 3.8402469966717488e+08 3.8242669018642420e+08 3.8063202231750959e+08 3.7861778198810935e+08 3.7636098451266915e+08 3.7383386162100226e+08 3.7105163557361501e+08 3.6794901737186694e+08 3.6454374001885629e+08 3.6084367855769080e+08 3.5687785176641226e+08 3.5269563173016977e+08 3.4839099158760732e+08 3.4410161066599375e+08 3.4006736454736823e+08 3.3656103984174627e+08 3.3404017045069027e+08 3.3313091792502463e+08 3.3475054075776571e+08 3.4022673614574790e+08 3.5157190734005606e+08 3.7197023881488937e+08 4.0680758587977099e+08 3.0075926791891062e+08 +4.2485495165055687e+00 1.2026817492153232e+08 1.2026424896357617e+08 1.2025717763340910e+08 1.2025021980147631e+08 1.2024882627805814e+08 1.2025949897775550e+08 1.2028435296016902e+08 1.2031904377384086e+08 1.2036033608801936e+08 1.2040908121166758e+08 1.2046744940227570e+08 1.2053718917417410e+08 1.2062019333343321e+08 1.2071881081140570e+08 1.2083578574504079e+08 1.2097428610959460e+08 1.2113817242100979e+08 1.2133209719192384e+08 1.2156155893775959e+08 1.2183300354053454e+08 1.2215399490251575e+08 1.2253345744292037e+08 1.2298299150953895e+08 1.2352230470039974e+08 1.2417727271281576e+08 1.2496295144731408e+08 1.2589188765802988e+08 1.2698508277376398e+08 1.2826967537310800e+08 1.2977745327328928e+08 1.3154508209770818e+08 1.3361464974440886e+08 1.3603425595285675e+08 1.3885858571064290e+08 1.4214942219242725e+08 1.4597599991965073e+08 1.5041512905530939e+08 1.5555091264764673e+08 1.6147388868322212e+08 1.6827926783058101e+08 1.7668570078872240e+08 1.8633906499536094e+08 1.9734207816481316e+08 2.0977028056740496e+08 2.2365418837017384e+08 2.3895768197018877e+08 2.5555460132710651e+08 2.7320763290195715e+08 2.9155629084973985e+08 3.1011859598248076e+08 3.2831045611020643e+08 3.4553132433031607e+08 3.6124009600530374e+08 3.7495932915429026e+08 3.8639427856922650e+08 3.9546001936979949e+08 4.0224912109180176e+08 4.0700041880035609e+08 4.1002625942841548e+08 4.1169171899232328e+08 4.1231432929978836e+08 4.1220304217076111e+08 4.1157695973275483e+08 4.1064984246996933e+08 4.0954666793935865e+08 4.0836125358915120e+08 4.0718042200843310e+08 4.0603022420423812e+08 4.0492291669913083e+08 4.0388419047582841e+08 4.0289183795905715e+08 4.0196770576688522e+08 4.0110409250323385e+08 4.0031333219027698e+08 3.9958306513792902e+08 3.9888882361638093e+08 3.9823955458671618e+08 3.9762696646526235e+08 3.9701745056149065e+08 3.9657594490932715e+08 3.9612682625286645e+08 3.9566713691634053e+08 3.9518512062283754e+08 3.9468770899446243e+08 3.9415827525267422e+08 3.9362683690022951e+08 3.9302824923932260e+08 3.9238767705292636e+08 3.9169334409849864e+08 3.9093605491663820e+08 3.9010463492801577e+08 3.8918649611633104e+08 3.8816112068205351e+08 3.8704279615876889e+08 3.8577195147786176e+08 3.8434718650926703e+08 3.8274783691181016e+08 3.8095166375794125e+08 3.7893573372947669e+08 3.7667704283744991e+08 3.7414780689713758e+08 3.7136322425335944e+08 3.6825800238558590e+08 3.6484986717563367e+08 3.6114670028096783e+08 3.5717754484331077e+08 3.5299181440634018e+08 3.4868356102562958e+08 3.4439058645704716e+08 3.4035293402197456e+08 3.3684366653937250e+08 3.3432068188460344e+08 3.3341067405517823e+08 3.3503165869651985e+08 3.4051245112424654e+08 3.5186714795807028e+08 3.7228261779119182e+08 4.0714919216472012e+08 3.0029939692799681e+08 +4.2535178392798265e+00 1.2166854193753381e+08 1.2166445563599905e+08 1.2165712059510246e+08 1.2164982334401152e+08 1.2164810637410963e+08 1.2165860666940455e+08 1.2168349803110190e+08 1.2171833442786545e+08 1.2175977955322389e+08 1.2180866627176009e+08 1.2186717893201751e+08 1.2193706930197293e+08 1.2202022951127498e+08 1.2211900978012721e+08 1.2223615690829058e+08 1.2237484113474958e+08 1.2253892594301754e+08 1.2273306806270573e+08 1.2296277105840139e+08 1.2323448640806662e+08 1.2355578437278110e+08 1.2393559615369393e+08 1.2438552748181869e+08 1.2492529419791563e+08 1.2558080238801247e+08 1.2636712850559452e+08 1.2729681744273302e+08 1.2839087620428541e+08 1.2967645490569392e+08 1.3118535324960148e+08 1.3295424722089542e+08 1.3502523186152491e+08 1.3744640860196137e+08 1.4027245556441566e+08 1.4356513632019687e+08 1.4739364717380351e+08 1.5183473390387002e+08 1.5697239904580247e+08 1.6289703157044035e+08 1.6970362908905604e+08 1.7811054390860051e+08 1.8776304393201888e+08 1.9876318425254673e+08 2.1118565512338403e+08 2.2505992781322548e+08 2.4034866483155978e+08 2.5692438363677940e+08 2.7454847372915149e+08 2.9285937574582982e+08 3.1137450109378636e+08 3.2950987157210964e+08 3.4666591807412630e+08 3.6230338721197200e+08 3.7594741512531787e+08 3.8730613522734225e+08 3.9629742001498967e+08 4.0301615187564600e+08 4.0770279075546765e+08 4.1067057663670981e+08 4.1228483230881846e+08 4.1286289135498071e+08 4.1271321263913810e+08 4.1205429202241337e+08 4.1109923490615129e+08 4.0997241442328268e+08 4.0876710271401680e+08 4.0756963259944224e+08 4.0640566052872360e+08 4.0528708000413311e+08 4.0423926972888029e+08 4.0323976299411774e+08 4.0231012695188481e+08 4.0144241934728640e+08 4.0064872330566388e+08 3.9991641259535700e+08 3.9922078965233958e+08 3.9857056693439132e+08 3.9795727029445887e+08 3.9734717209955388e+08 3.9690528225216603e+08 3.9645578479516393e+08 3.9599571288409108e+08 3.9551329736218852e+08 3.9501547433814728e+08 3.9448561055093074e+08 3.9395370969485831e+08 3.9335462686203545e+08 3.9271352462902367e+08 3.9201861697300380e+08 3.9126070079566425e+08 3.9042859223859525e+08 3.8950969282920116e+08 3.8848347538216650e+08 3.8736420130575794e+08 3.8609230314072317e+08 3.8466635685084325e+08 3.8306568093126541e+08 3.8126801798583001e+08 3.7925041564752644e+08 3.7698985082323861e+08 3.7445852362960637e+08 3.7167160848209637e+08 3.6856380973705941e+08 3.6515284607245016e+08 3.6144660569342160e+08 3.5747415585339034e+08 3.5328495112888438e+08 3.4897312168023473e+08 3.4467659048184764e+08 3.4063556663019550e+08 3.3712338664593714e+08 3.3459830849316472e+08 3.3368755318602580e+08 3.3530988564268446e+08 3.4079522782205713e+08 3.5215935232164806e+08 3.7259178432171744e+08 4.0748728523084503e+08 2.9983910778539073e+08 +4.2584861620540844e+00 1.2306763478035615e+08 1.2306338807692787e+08 1.2305578845404087e+08 1.2304815327546844e+08 1.2304611295609908e+08 1.2305644078869854e+08 1.2308136906322795e+08 1.2311635039600612e+08 1.2315794756249146e+08 1.2320697500637789e+08 1.2326563111017469e+08 1.2333567087085640e+08 1.2341898571112102e+08 1.2351792710227153e+08 1.2363524446108362e+08 1.2377411023987684e+08 1.2393839082499160e+08 1.2413274708786336e+08 1.2436268755142154e+08 1.2463466918385217e+08 1.2495626848033039e+08 1.2533642327833846e+08 1.2578674450399113e+08 1.2632695592319447e+08 1.2698299357749042e+08 1.2776995421691908e+08 1.2870038066862781e+08 1.2979528517136265e+08 1.3108182892967547e+08 1.3259182300619197e+08 1.3436195314052835e+08 1.3643432082029343e+08 1.3885702836906746e+08 1.4168474613287079e+08 1.4497921705201441e+08 1.4880959806142098e+08 1.5325256927868319e+08 1.5839203133525985e+08 1.6431822270194933e+08 1.7112592639871192e+08 1.7953318459529948e+08 1.8918466172435850e+08 2.0018174899424928e+08 2.1259828615131819e+08 2.2646270030568072e+08 2.4173643859984714e+08 2.5829070085944992e+08 2.7588558727391732e+08 2.9415847546198094e+08 3.1262618024428862e+08 3.3070485120789510e+08 3.4779590964001387e+08 3.6336196245748514e+08 3.7693072783953351e+08 3.8821321576625961e+08 3.9713008863483119e+08 4.0377853087088495e+08 4.0840061529615784e+08 4.1131046381662500e+08 4.1287363681818551e+08 4.1340726311184269e+08 4.1321930423759013e+08 4.1252764745667344e+08 4.1154474188101542e+08 4.1039435607535195e+08 4.0916921721840030e+08 4.0795516889575267e+08 4.0677747380152756e+08 4.0564766333205140e+08 4.0459080466181880e+08 4.0358417286416149e+08 4.0264905636943179e+08 4.0177727288074040e+08 4.0098065536089200e+08 4.0024631197582346e+08 3.9954931622185779e+08 3.9889814676328743e+08 3.9828414753511095e+08 3.9767347254964286e+08 3.9723120236855054e+08 3.9678133000028181e+08 3.9632087947837037e+08 3.9583806887828231e+08 3.9533983873933053e+08 3.9480954943754721e+08 3.9427719072571051e+08 3.9367761787169212e+08 3.9303599110589939e+08 3.9234051472478878e+08 3.9158197807205355e+08 3.9074918810435992e+08 3.8982953600237185e+08 3.8880248534741652e+08 3.8768227142120898e+08 3.8640933071654242e+08 3.8498221537593639e+08 3.8338022690980804e+08 3.8158108964355987e+08 3.7956183236060256e+08 3.7729941306119323e+08 3.7476601637852114e+08 3.7197679278550655e+08 3.6886644391417241e+08 3.6545268115696174e+08 3.6174339919669032e+08 3.5776768915021515e+08 3.5357504619979936e+08 3.4925967780114120e+08 3.4495962693712491e+08 3.4091526651944190e+08 3.3740020426701313e+08 3.3487305435063159e+08 3.3396155938049674e+08 3.3558522567977703e+08 3.4107507038932204e+08 3.5244852471931702e+08 3.7289774294328159e+08 4.0782187004065669e+08 2.9937840688567954e+08 +4.2634544848283422e+00 1.2446543240242338e+08 1.2446102549508657e+08 1.2445316216327839e+08 1.2444518871542777e+08 1.2444282556431244e+08 1.2445298090952705e+08 1.2447794563872516e+08 1.2451307126263689e+08 1.2455481969953813e+08 1.2460398699840996e+08 1.2466278551893334e+08 1.2473297346259974e+08 1.2481644151453330e+08 1.2491554235925895e+08 1.2503302798487070e+08 1.2517207300650443e+08 1.2533654664919512e+08 1.2553111385052834e+08 1.2576128800114514e+08 1.2603353145381081e+08 1.2635542681329767e+08 1.2673591840764138e+08 1.2718662217032693e+08 1.2772726947493944e+08 1.2838382588560817e+08 1.2917140819217543e+08 1.3010255695536223e+08 1.3119828930499497e+08 1.3248577708793834e+08 1.3399684220238499e+08 1.3576817953631437e+08 1.3784189632646051e+08 1.4026609499133277e+08 1.4309543719445929e+08 1.4639164421836782e+08 1.5022383247954533e+08 1.5466861516222650e+08 1.5980978960767642e+08 1.6573744230991873e+08 1.7254614017318729e+08 1.8095360351480782e+08 1.9060389936878023e+08 2.0159775381685638e+08 2.1400815563331801e+08 2.2786248854039606e+08 2.4312098686452189e+08 2.5965353769415203e+08 2.7721895957747102e+08 2.9545357761659962e+08 3.1387362284265423e+08 3.3189538637950635e+08 3.4892129242695260e+08 3.6441581716362208e+08 3.7790926462743163e+08 3.8911551922690111e+08 3.9795802572781074e+08 4.0453625975918370e+08 4.0909389502470571e+08 4.1194592426188803e+08 4.1345813631725532e+08 4.1394744872428554e+08 4.1372132137038815e+08 4.1299703061311603e+08 4.1198636808961105e+08 4.1081249767287380e+08 4.0956760193362576e+08 4.0833703576661646e+08 4.0714566891664225e+08 4.0600467159174126e+08 4.0493880019336557e+08 4.0392507249130172e+08 4.0298449894375122e+08 4.0210865802425575e+08 4.0130913327230513e+08 4.0057276819006187e+08 3.9987440822832584e+08 3.9922229897070956e+08 3.9860760307749921e+08 3.9799635679450905e+08 3.9755371013631660e+08 3.9710346674009222e+08 3.9664264156530684e+08 3.9615944003086621e+08 3.9566080705183184e+08 3.9513009676046878e+08 3.9459728483316618e+08 3.9399722710321903e+08 3.9335508130952877e+08 3.9265904217188013e+08 3.9189989155337393e+08 3.9106642732320958e+08 3.9014603042240453e+08 3.8911815535197437e+08 3.8799701126540124e+08 3.8672303894964272e+08 3.8529476681229788e+08 3.8369147955460215e+08 3.8189088341723138e+08 3.7986998852947330e+08 3.7760573418376291e+08 3.7507028974537671e+08 3.7227878173129761e+08 3.6916590944658983e+08 3.6574937691596866e+08 3.6203708523264915e+08 3.5805814912631047e+08 3.5386210396073318e+08 3.4954323367688298e+08 3.4523970005899543e+08 3.4119203787658924e+08 3.3767412354533070e+08 3.3514492356913567e+08 3.3423269673967409e+08 3.3585768292807496e+08 3.4135198301425976e+08 3.5273466947835732e+08 3.7320049823500973e+08 4.0815295160171449e+08 2.9891730060045826e+08 +4.2684228076026001e+00 1.2586191510440458e+08 1.2585734779832490e+08 1.2584922058201513e+08 1.2584090961675379e+08 1.2583822387540394e+08 1.2584820666934334e+08 1.2587320742330356e+08 1.2590847669504400e+08 1.2595037563198967e+08 1.2599968191466035e+08 1.2605862182425916e+08 1.2612895674282129e+08 1.2621257658687970e+08 1.2631183521638866e+08 1.2642948714507931e+08 1.2656870910036626e+08 1.2673337308207400e+08 1.2692814801817383e+08 1.2715855207633068e+08 1.2743105288844605e+08 1.2775323904435368e+08 1.2813406121730159e+08 1.2858514016003886e+08 1.2912621453687637e+08 1.2978327900212386e+08 1.3057147012822907e+08 1.3150332600861663e+08 1.3259986832197671e+08 1.3388827911099640e+08 1.3540039058552742e+08 1.3717290617660081e+08 1.3924793817459649e+08 1.4167358829727262e+08 1.4450450861956376e+08 1.4780239774322310e+08 1.5163633041989565e+08 1.5608285163328469e+08 1.6122565405353123e+08 1.6715467072775069e+08 1.7396425092941523e+08 1.8237178144036376e+08 1.9202073797272018e+08 2.0301118026130340e+08 2.1541524567050332e+08 2.2925927533317176e+08 2.4450229334162402e+08 2.6101287897009519e+08 2.7854857681364596e+08 2.9674466996204805e+08 3.1511681843185413e+08 3.3308146858151519e+08 3.5004205996136367e+08 3.6546494687430477e+08 3.7888302293465716e+08 3.9001304475692189e+08 3.9878123188924986e+08 4.0528934031106299e+08 4.0978263262540960e+08 4.1257696134091043e+08 4.1403833467191905e+08 4.1448345241201603e+08 4.1421926850247854e+08 4.1346244612583232e+08 4.1242411828296930e+08 4.1122684404443312e+08 4.0996226174213630e+08 4.0871523813001817e+08 4.0751025081561571e+08 4.0635810973955196e+08 4.0528326128797185e+08 4.0426246684378201e+08 4.0331645964241457e+08 4.0243657974374431e+08 4.0163416200113070e+08 4.0089578619320601e+08 4.0019607062122685e+08 3.9954302849764925e+08 3.9892764185613078e+08 3.9831582976113313e+08 3.9787281047661901e+08 3.9742219993016517e+08 3.9696100405572003e+08 3.9647741572531921e+08 3.9597838417409468e+08 3.9544725741080481e+08 3.9491399690291196e+08 3.9431345943340796e+08 3.9367080010999721e+08 3.9297420417490554e+08 3.9221444609153432e+08 3.9138031473594820e+08 3.9045918091913402e+08 3.8943049021237594e+08 3.8830842564159209e+08 3.8703343262839001e+08 3.8560401592903680e+08 3.8399944361581868e+08 3.8219740403419203e+08 3.8017488885660225e+08 3.7790881886561233e+08 3.7537134837335151e+08 3.7257757992835724e+08 3.6946221090469360e+08 3.6604293787727761e+08 3.6232766828291434e+08 3.5834554021451658e+08 3.5414612879232454e+08 3.4982379363452762e+08 3.4551681412118363e+08 3.4146588492492223e+08 3.3794514866142839e+08 3.3541392029773957e+08 3.3450096940137297e+08 3.3612726154581720e+08 3.4162596992238063e+08 3.5301779096604556e+08 3.7350005481689680e+08 4.0848053496703488e+08 2.9845579527832496e+08 +4.2733911303768579e+00 1.2725706118743838e+08 1.2725233448128201e+08 1.2724394355966094e+08 1.2723529571408409e+08 1.2723228765370345e+08 1.2724209778960356e+08 1.2726713416814770e+08 1.2730254644423230e+08 1.2734459511183052e+08 1.2739403950560176e+08 1.2745311977643771e+08 1.2752360046144353e+08 1.2760737067780517e+08 1.2770678542340523e+08 1.2782460169133310e+08 1.2796399827151369e+08 1.2812884987444670e+08 1.2832382934262244e+08 1.2855445953019214e+08 1.2882721324290724e+08 1.2914968493116806e+08 1.2953083146786676e+08 1.2998227823762162e+08 1.3052377087834573e+08 1.3118133270249224e+08 1.3197011980836852e+08 1.3290266762083870e+08 1.3400000202596098e+08 1.3528931481677911e+08 1.3680244799104038e+08 1.3857611291886282e+08 1.4065242624969929e+08 1.4307948820591506e+08 1.4591194037063876e+08 1.4921145764371616e+08 1.5304707196975964e+08 1.5749525886777645e+08 1.6263960496223810e+08 1.6856988839056855e+08 1.7538023928876191e+08 1.8378769925242907e+08 1.9343515875418708e+08 2.0442200998378778e+08 2.1681953848255819e+08 2.3065304362282491e+08 2.4588034187386534e+08 2.6236870964670956e+08 2.7987442528944570e+08 2.9803174038530409e+08 3.1635575668955576e+08 3.3426308943934202e+08 3.5115820589795351e+08 3.6650934725507677e+08 3.7985200032038683e+08 3.9090579160896134e+08 3.9959970781125736e+08 4.0603777438605344e+08 4.1046683086400241e+08 4.1320357849719381e+08 4.1461423581725585e+08 4.1501527845736110e+08 4.1471315015913254e+08 4.1392389868617809e+08 4.1285799726491088e+08 4.1163740007161874e+08 4.1035320157587504e+08 4.0908978095251387e+08 4.0787122448727554e+08 4.0670798277841270e+08 4.0562419295642453e+08 4.0459636093579692e+08 4.0364494347889256e+08 4.0276104304892355e+08 4.0195574655256748e+08 4.0121537098524028e+08 4.0051430839263421e+08 3.9986034033051777e+08 3.9924426884856510e+08 3.9863189642023158e+08 3.9818850835484970e+08 3.9773753453104931e+08 3.9727597190306371e+08 3.9679200090858960e+08 3.9629257504784578e+08 3.9576103632384932e+08 3.9522733186270010e+08 3.9462631978347069e+08 3.9398315241939324e+08 3.9328600563837367e+08 3.9252564658083224e+08 3.9169085522694343e+08 3.9076899236579245e+08 3.8973949478919792e+08 3.8861651939594167e+08 3.8734051658179891e+08 3.8590996753873897e+08 3.8430412388552594e+08 3.8250065626374787e+08 3.8047653808670622e+08 3.7820867182304543e+08 3.7566919694722569e+08 3.7287319202593005e+08 3.6975535289866042e+08 3.6633336860911238e+08 3.6261515286937761e+08 3.5862986688667464e+08 3.5442712511394954e+08 3.5010136203969181e+08 3.4579097343573827e+08 3.4173681192611521e+08 3.3821328383274591e+08 3.3568004872170883e+08 3.3476638153946400e+08 3.3639396572731453e+08 3.4189703537703520e+08 3.5329789358744574e+08 3.7379641734999108e+08 4.0880462523404026e+08 2.9799389724487829e+08 +4.2783594531511158e+00 1.2865085211977217e+08 1.2864596521438484e+08 1.2863731178242289e+08 1.2862832707076566e+08 1.2862499674959451e+08 1.2863463409453371e+08 1.2865970571102490e+08 1.2869526034521270e+08 1.2873745797519656e+08 1.2878703960627541e+08 1.2884625920978233e+08 1.2891688445271033e+08 1.2900080362128402e+08 1.2910037281417511e+08 1.2921835145806788e+08 1.2935792035465264e+08 1.2952295686179660e+08 1.2971813766048458e+08 1.2994899020093481e+08 1.3022199235744946e+08 1.3054474431641912e+08 1.3092620900525607e+08 1.3137801625293234e+08 1.3191991835451765e+08 1.3257796684831576e+08 1.3336733710189983e+08 1.3430056167104530e+08 1.3539867030821028e+08 1.3668886411095476e+08 1.3820299434308547e+08 1.3997777970965222e+08 1.4205534052645993e+08 1.4448377472770464e+08 1.4731771250251088e+08 1.5061880403094783e+08 1.5445603731123841e+08 1.5890581713849026e+08 1.6405162272221166e+08 1.6998307583451915e+08 1.7679408597682688e+08 1.8520133793900371e+08 1.9484714304200602e+08 2.0583022475419948e+08 2.1822101640781707e+08 2.3204377647036159e+08 2.4725511643071046e+08 2.6372101481328681e+08 2.8119649144404465e+08 2.9931477690724355e+08 3.1759042742616922e+08 3.3544024071089184e+08 3.5226972401798278e+08 3.6754901409221596e+08 3.8081619445766735e+08 3.9179375914099014e+08 4.0041345428318870e+08 4.0678156393144327e+08 4.1114649258605635e+08 4.1382577924721366e+08 4.1518584375625360e+08 4.1554293120705909e+08 4.1520297092521381e+08 4.1438139304218042e+08 4.1328800989442211e+08 4.1204417068665802e+08 4.1074042641795099e+08 4.0946066924985677e+08 4.0822859496868622e+08 4.0705429575804037e+08 4.0596160025504595e+08 4.0492675982516152e+08 4.0396995551060665e+08 4.0308205299419808e+08 4.0227389197619498e+08 4.0153152760919261e+08 4.0082912657892525e+08 4.0017423949722624e+08 3.9955748907714593e+08 3.9894456178590536e+08 3.9850080877948296e+08 3.9804947554508406e+08 3.9758755010443240e+08 3.9710320057211995e+08 3.9660338465732563e+08 3.9607143847741872e+08 3.9553729468444711e+08 3.9493581311659580e+08 3.9429214319405079e+08 3.9359445150888485e+08 3.9283349795846903e+08 3.9199805372328448e+08 3.9107546967696065e+08 3.9004517398416811e+08 3.8892129741619170e+08 3.8764429568266749e+08 3.8621262649520403e+08 3.8460552519783050e+08 3.8280064491755116e+08 3.8077494100496835e+08 3.7850529781312400e+08 3.7596384019175249e+08 3.7316562271456814e+08 3.7004534007972085e+08 3.6662067371932995e+08 3.6289954355325073e+08 3.5891113365389043e+08 3.5470509738371873e+08 3.5037594329625422e+08 3.4606218235175985e+08 3.4200482317843419e+08 3.3847853331321460e+08 3.3594331306400615e+08 3.3502893736515731e+08 3.3665779970386517e+08 3.4216518367880404e+08 3.5357498178644729e+08 3.7408959053580803e+08 4.0912522754491121e+08 2.9753161280271459e+08 +4.2833277759253736e+00 1.3004326673588063e+08 1.3003822138242391e+08 1.3002930463287507e+08 1.3001998318403149e+08 1.3001633100888358e+08 1.3002579551718554e+08 1.3005090197710706e+08 1.3008659831764644e+08 1.3012894414277956e+08 1.3017866213606395e+08 1.3023802004351810e+08 1.3030878863542566e+08 1.3039285533594479e+08 1.3049257730773698e+08 1.3061071636412422e+08 1.3075045526914656e+08 1.3091567396452226e+08 1.3111105289345248e+08 1.3134212401181081e+08 1.3161537015745170e+08 1.3193839712817621e+08 1.3232017376090693e+08 1.3277233414150374e+08 1.3331463690632606e+08 1.3397316138729821e+08 1.3476310196460551e+08 1.3569698812540182e+08 1.3679585314695600e+08 1.3808690698734772e+08 1.3960200965407515e+08 1.4137788658524919e+08 1.4345666107031116e+08 1.4588642796399558e+08 1.4872180516254461e+08 1.5202441710991761e+08 1.5586320672218069e+08 1.6031450681582364e+08 1.6546168782159787e+08 1.7139421369776857e+08 1.7820577182332921e+08 1.8661267859502557e+08 1.9625667227598152e+08 2.0723580645805630e+08 2.1961966190288526e+08 2.3343145705979380e+08 2.4862660110732806e+08 2.6506977968915051e+08 2.8251476184954196e+08 3.0059376768279898e+08 3.1882082058656818e+08 3.3661291428508425e+08 3.5337660823048967e+08 3.6858394329309976e+08 3.8177560313282204e+08 3.9267694681599921e+08 4.0122247218996948e+08 4.0752071098294836e+08 4.1182162071777993e+08 4.1444356718186820e+08 4.1575316255984414e+08 4.1606641507088846e+08 4.1568873544453567e+08 4.1483493399744987e+08 4.1371416108323544e+08 4.1244716087435365e+08 4.1112394130008000e+08 4.0982790808545935e+08 4.0858236734294838e+08 4.0739705377350736e+08 4.0629548828564245e+08 4.0525366861594105e+08 4.0429150083955431e+08 4.0339961467772645e+08 4.0258860336464345e+08 4.0184426115124261e+08 4.0114053025933158e+08 4.0048473107066464e+08 3.9986730760630250e+08 3.9925383091525710e+08 3.9880971680219162e+08 3.9835802801806450e+08 3.9789574370003873e+08 3.9741101974932319e+08 3.9691081803039676e+08 3.9637846889223695e+08 3.9584389038142991e+08 3.9524194443987298e+08 3.9459777743163812e+08 3.9389954677564710e+08 3.9313800520454979e+08 3.9230191519397634e+08 3.9137861781017387e+08 3.9034753274207258e+08 3.8922276463271278e+08 3.8794477484464121e+08 3.8651199769473130e+08 3.8490365242794985e+08 3.8309737484784454e+08 3.8107010243870878e+08 3.7879870163407737e+08 3.7625528287307781e+08 3.7345487672423196e+08 3.7033217713864315e+08 3.6690485785520130e+08 3.6318084493468177e+08 3.5918934506601387e+08 3.5498005009838498e+08 3.5064754184575671e+08 3.4633044525619340e+08 3.4226992301738805e+08 3.3874090139353478e+08 3.3620371758252382e+08 3.3528864112516493e+08 3.3691876774322653e+08 3.4243041916516238e+08 3.5384906004526269e+08 3.7437957911674500e+08 4.0944234708592546e+08 2.9706894823142469e+08 +4.2882960986996315e+00 1.3143428600843142e+08 1.3142908019741131e+08 1.3141990105280666e+08 1.3141024426780449e+08 1.3140627033243333e+08 1.3141556209363943e+08 1.3144070297907339e+08 1.3147654036671221e+08 1.3151903362010323e+08 1.3156888709916215e+08 1.3162838228173518e+08 1.3169929301333293e+08 1.3178350582544935e+08 1.3188337890760836e+08 1.3200167641355009e+08 1.3214158301967688e+08 1.3230698118814841e+08 1.3250255504826492e+08 1.3273384097131379e+08 1.3300732665357085e+08 1.3333062337994656e+08 1.3371270575184290e+08 1.3416521192489929e+08 1.3470790656087241e+08 1.3536689635344842e+08 1.3615739443945453e+08 1.3709192703700912e+08 1.3819153060854045e+08 1.3948342352785611e+08 1.4099947402557313e+08 1.4277641367103076e+08 1.4485636803661779e+08 1.4728742810805067e+08 1.5012419859054148e+08 1.5342827717934480e+08 1.5726856057594109e+08 1.6172130836729401e+08 1.6686978084767765e+08 1.7280328272041911e+08 1.7961527776243356e+08 1.8802170242356077e+08 1.9766372800676659e+08 2.0863873709500667e+08 2.2101545754336223e+08 2.3481606869760117e+08 2.4999478012667662e+08 2.6641498962289351e+08 2.8382922320993561e+08 3.0186870099937266e+08 3.2004692624743569e+08 3.3778110218057203e+08 3.5447885256979662e+08 3.6961413088529456e+08 3.8273022424379677e+08 3.9355535420088810e+08 4.0202676251209158e+08 4.0825521766225648e+08 4.1249221826546860e+08 4.1505694596491849e+08 4.1631619636646873e+08 4.1658573452091306e+08 4.1617044842071742e+08 4.1528452641172898e+08 4.1413645579619879e+08 4.1284637566974908e+08 4.1150375130388165e+08 4.1019150257064092e+08 4.0893254674110264e+08 4.0773626196640658e+08 4.0662586219497120e+08 4.0557709245566249e+08 4.0460958461235666e+08 4.0371373324144936e+08 4.0289988585480386e+08 4.0215357674227208e+08 4.0144852455661553e+08 4.0079182016548836e+08 4.0017372954334861e+08 3.9955970890840966e+08 3.9911523751689136e+08 3.9866319703865439e+08 3.9820055777252442e+08 3.9771546351731128e+08 3.9721488023692423e+08 3.9668213263144010e+08 3.9614712401048893e+08 3.9554471880153066e+08 3.9490006017327231e+08 3.9420129647062111e+08 3.9343917334097320e+08 3.9260244465008712e+08 3.9167844176502711e+08 3.9064657604864454e+08 3.8952092601740974e+08 3.8824195902326244e+08 3.8680808607399637e+08 3.8519851049235344e+08 3.8339085094844043e+08 3.8136202725548041e+08 3.7908888812414169e+08 3.7654352979741704e+08 3.7374095882546705e+08 3.7061586880586380e+08 3.6718592570383710e+08 3.6345906165271366e+08 3.5946450571088296e+08 3.5525198779216343e+08 3.5091616216708195e+08 3.4659576657313132e+08 3.4253211581509304e+08 3.3900039240097541e+08 3.3646126657260203e+08 3.3554549710244036e+08 3.3717687414885694e+08 3.4269274620974326e+08 3.5412013288389856e+08 3.7466638787479007e+08 4.0975598908740008e+08 2.9660590978759372e+08 +4.2932644214738893e+00 1.3282388832867932e+08 1.3281852420024791e+08 1.3280908337570131e+08 1.3279909026276343e+08 1.3279479477863041e+08 1.3280391394682966e+08 1.3282908881646720e+08 1.3286506658309175e+08 1.3290770649762131e+08 1.3295769458469276e+08 1.3301732601336141e+08 1.3308837767526358e+08 1.3317273517837375e+08 1.3327275770258512e+08 1.3339121169549608e+08 1.3353128369585870e+08 1.3369685862343873e+08 1.3389262421712646e+08 1.3412412117348284e+08 1.3439784194239718e+08 1.3472140317132747e+08 1.3510378508126786e+08 1.3555662971084833e+08 1.3609970743166202e+08 1.3675915186784902e+08 1.3755019465624297e+08 1.3848535854658356e+08 1.3958568284675643e+08 1.4087839390290916e+08 1.4239536764809921e+08 1.4417334118251592e+08 1.4625444167201012e+08 1.4868675544471002e+08 1.5152487311956009e+08 1.5483036463266483e+08 1.5867207934169510e+08 1.6312620235829359e+08 1.6827588248767075e+08 1.7421026374405098e+08 1.8102258483300894e+08 1.8942839073513865e+08 1.9906829189636111e+08 2.1003899877971408e+08 2.2240838602350593e+08 2.3619759481251824e+08 2.5135963783650953e+08 2.6775663009321961e+08 2.8513986236095500e+08 3.0313956527863181e+08 3.2126873461915195e+08 3.3894479654748452e+08 3.5557645119685537e+08 3.7063957301545376e+08 3.8368005580210757e+08 3.9442898096579725e+08 4.0282632632552272e+08 4.0898508617961317e+08 4.1315828831348455e+08 4.1566591933250189e+08 4.1687494938195264e+08 4.1710089409247154e+08 4.1664811461474639e+08 4.1573017519998199e+08 4.1455489905137867e+08 4.1324182015883112e+08 4.1187986155971950e+08 4.1055145786474347e+08 4.0927913833895916e+08 4.0807192552322590e+08 4.0695272717421895e+08 4.0589703653613424e+08 4.0492421201765895e+08 4.0402441387044680e+08 4.0320774462571317e+08 4.0245947955396384e+08 4.0175311463588494e+08 4.0109551193894547e+08 4.0047676003901863e+08 3.9986220090708315e+08 3.9941737606091297e+08 3.9896498773748088e+08 3.9850199744608957e+08 3.9801653699395692e+08 3.9751557638885260e+08 3.9698243480064160e+08 3.9644700067028242e+08 3.9584414129210091e+08 3.9519899650065637e+08 3.9449970566717303e+08 3.9373700743091786e+08 3.9289964714462119e+08 3.9197494658230108e+08 3.9094230893172926e+08 3.8981578658331609e+08 3.8853585321488374e+08 3.8710089661152548e+08 3.8549010434867972e+08 3.8368107815362686e+08 3.8165072036340708e+08 3.7937586216251612e+08 3.7682858581047863e+08 3.7402387382853317e+08 3.7089641985154188e+08 3.6746388199040914e+08 3.6373419838525033e+08 3.5973662021515262e+08 3.5552091503688264e+08 3.5118180877653825e+08 3.4685815076326203e+08 3.4279140598004925e+08 3.3925701069851744e+08 3.3671596436408800e+08 3.3579950961539727e+08 3.3743212326054084e+08 3.4295216922385889e+08 3.5438820485967892e+08 3.7495002163217330e+08 4.1006615882279700e+08 2.9614250370479947e+08 +4.2982327442481472e+00 1.3421205472971992e+08 1.3420653202672444e+08 1.3419682990333880e+08 1.3418650103892675e+08 1.3418188460717811e+08 1.3419083126920410e+08 1.3421603967416534e+08 1.3425215714380062e+08 1.3429494295062330e+08 1.3434506476732168e+08 1.3440483141315079e+08 1.3447602279536125e+08 1.3456052356885231e+08 1.3466069386696285e+08 1.3477930238449594e+08 1.3491953747307652e+08 1.3508528644686165e+08 1.3528124057805353e+08 1.3551294479824662e+08 1.3578689620613196e+08 1.3611071668761325e+08 1.3649339193830779e+08 1.3694656769342929e+08 1.3749001971892941e+08 1.3814990813811713e+08 1.3894148283183447e+08 1.3987726288243920e+08 1.4097829010366452e+08 1.4227179837149078e+08 1.4378967080151394e+08 1.4556864942517686e+08 1.4765086231340808e+08 1.5008439035056823e+08 1.5292380917547473e+08 1.5623065995735699e+08 1.6007374358470318e+08 1.6452916945184329e+08 1.6967997352823308e+08 1.7561513771250245e+08 1.8242767417815989e+08 1.9083272494758025e+08 2.0047034571766174e+08 2.1143657374136740e+08 2.2379843015592423e+08 2.3757601895603308e+08 2.5272115871134448e+08 2.6909468670759666e+08 2.8644666627044147e+08 3.0440634907441515e+08 3.2248623604394448e+08 3.4010398966505903e+08 3.5666939839777857e+08 3.7166026595032078e+08 3.8462509592924297e+08 3.9529782688460183e+08 4.0362116479992515e+08 4.0971031883011705e+08 4.1381983402629745e+08 4.1627049109306848e+08 4.1742942587814301e+08 4.1761189838222069e+08 4.1712173884704906e+08 4.1617188533205038e+08 4.1496949591912133e+08 4.1363349947763729e+08 4.1225227724602783e+08 4.1090777917340821e+08 4.0962214735988992e+08 4.0840404967560011e+08 4.0727608845890903e+08 4.0621350609305817e+08 4.0523538828875041e+08 4.0433166179267716e+08 4.0351218489907813e+08 4.0276197480208939e+08 4.0205430570528769e+08 4.0139581159172523e+08 4.0077640428478616e+08 4.0016131209603673e+08 3.9971613761221027e+08 3.9926340528753376e+08 3.9880006788827395e+08 3.9831424534017587e+08 3.9781291164084828e+08 3.9727938054641038e+08 3.9674352550057989e+08 3.9614021704491109e+08 3.9549459153818446e+08 3.9479477947965723e+08 3.9403151257967150e+08 3.9319352777119303e+08 3.9226813734408027e+08 3.9123473646010166e+08 3.9010735138464046e+08 3.8882646245799112e+08 3.8739043432620740e+08 3.8577843899529123e+08 3.8396806143767297e+08 3.8193618671070510e+08 3.7965962866819322e+08 3.7711045579846662e+08 3.7430362658290577e+08 3.7117383508436370e+08 3.6773873148002577e+08 3.6400625984849113e+08 3.6000569324266499e+08 3.5578683644264585e+08 3.5144448622731143e+08 3.4711760232365054e+08 3.4304779795656592e+08 3.3951076068454838e+08 3.3696781532263041e+08 3.3605068301831704e+08 3.3768451945309758e+08 3.4320869265350020e+08 3.5465328056792045e+08 3.7523048525005740e+08 4.1037286160877609e+08 2.9567873619361150e+08 +4.3032010670224050e+00 1.3559876660471940e+08 1.3559308514074504e+08 1.3558312097797787e+08 1.3557245746166661e+08 1.3556752018554515e+08 1.3557629431707799e+08 1.3560153582147232e+08 1.3563779231165671e+08 1.3568072324042776e+08 1.3573097790721956e+08 1.3579087874087217e+08 1.3586220863327083e+08 1.3594685125645757e+08 1.3604716766063824e+08 1.3616592874111331e+08 1.3630632461243507e+08 1.3647224492058551e+08 1.3666838439473131e+08 1.3690029211137995e+08 1.3717446971321625e+08 1.3749854420052311e+08 1.3788150659874514e+08 1.3833500615328574e+08 1.3887882370970812e+08 1.3953914545899299e+08 1.4033123927067828e+08 1.4126762036071852e+08 1.4236933270979932e+08 1.4366361728134263e+08 1.4518236385502255e+08 1.4696231879483244e+08 1.4904561038943595e+08 1.5148031329439408e+08 1.5432098727741784e+08 1.5762914373568282e+08 1.6147353396606997e+08 1.6593019040878996e+08 1.7108203485642383e+08 1.7701788567212164e+08 1.8383052704638493e+08 1.9223468658700854e+08 2.0186987135457766e+08 2.1283144432407659e+08 2.2518557287177697e+08 2.3895132480214241e+08 2.5407932735212266e+08 2.7042914520337045e+08 2.8774962203726763e+08 3.0566904107303548e+08 3.2369942099583089e+08 3.4125867394213170e+08 3.5775768858359599e+08 3.7267620607446986e+08 3.8556534285893917e+08 3.9616189183329177e+08 4.0441127919924253e+08 4.1043091799486566e+08 4.1447685864563322e+08 4.1687066512688106e+08 4.1797963019339150e+08 4.1811875204835135e+08 4.1759132599461108e+08 4.1660966183263332e+08 4.1538025152105421e+08 4.1402141881238562e+08 4.1262100359011519e+08 4.1126047174974728e+08 4.0996157907143015e+08 4.0873263969994301e+08 4.0759595132917625e+08 4.0652650640531111e+08 4.0554311870153922e+08 4.0463548227904791e+08 4.0381321193950510e+08 4.0306106774355471e+08 4.0235210301388538e+08 4.0169272436518264e+08 4.0107266751515019e+08 4.0045704770192683e+08 4.0001152739146912e+08 3.9955845490311754e+08 3.9909477430715346e+08 3.9860859375805885e+08 3.9810689118822485e+08 3.9757297505789697e+08 3.9703670368326509e+08 3.9643295123279071e+08 3.9578685045123458e+08 3.9508652306500077e+08 3.9432269393347847e+08 3.9348409166613895e+08 3.9255801917387170e+08 3.9152386374337262e+08 3.9039562551664281e+08 3.8911379183003336e+08 3.8767670427771741e+08 3.8606351947070855e+08 3.8425180581586444e+08 3.8221843128609329e+08 3.7994019259973782e+08 3.7738914468658215e+08 3.7458022197718644e+08 3.7144811935201812e+08 3.6801047897504508e+08 3.6427525079604876e+08 3.6027172949587828e+08 3.5604975665582347e+08 3.5170419911001104e+08 3.4737412578795260e+08 3.4330129622527367e+08 3.3976164679321450e+08 3.3721682384963322e+08 3.3629902169954079e+08 3.3793406713714194e+08 3.4346232098137885e+08 3.5491536464007092e+08 3.7550778362939191e+08 4.1067610280545843e+08 2.9521461344159222e+08 +4.3081693897966629e+00 1.3698400287095851e+08 1.3697816255187079e+08 1.3696793797508961e+08 1.3695693973891741e+08 1.3695168195845184e+08 1.3696028341668740e+08 1.3698555761163372e+08 1.3702195243593389e+08 1.3706502771335331e+08 1.3711541435012156e+08 1.3717544834255698e+08 1.3724691553434807e+08 1.3733169858641580e+08 1.3743215942924953e+08 1.3755107111135146e+08 1.3769162546061739e+08 1.3785771439292780e+08 1.3805403601710254e+08 1.3828614346475208e+08 1.3856054281839672e+08 1.3888486606798047e+08 1.3926810942491245e+08 1.3972192545787930e+08 1.4026609977772066e+08 1.4092684421276239e+08 1.4171944436484763e+08 1.4265641138535351e+08 1.4375879108397606e+08 1.4505383106944418e+08 1.4657342726784676e+08 1.4835432977737999e+08 1.5043866641949907e+08 1.5287450483742112e+08 1.5571638803820550e+08 1.5902579664461288e+08 1.6287143124361011e+08 1.6732924608811212e+08 1.7248204745875368e+08 1.7841848877108440e+08 1.8523112479019865e+08 1.9363425728736886e+08 2.0326685080278152e+08 2.1422359298666570e+08 2.2656979722091416e+08 2.4032349614676702e+08 2.5543412848510277e+08 2.7175999144615752e+08 2.8904871689250487e+08 3.0692763009329277e+08 3.2490828008072597e+08 3.4240884191676080e+08 3.5884131629004288e+08 3.7368738989131325e+08 3.8650079493472832e+08 3.9702117579043937e+08 4.0519667088103545e+08 4.1114688614060712e+08 4.1512936549133760e+08 4.1746644538522208e+08 4.1852556673184139e+08 4.1862145981024867e+08 4.1805688099190509e+08 4.1704350978044385e+08 4.1578717103182971e+08 4.1440558339869380e+08 4.1298604586721414e+08 4.1160954089324641e+08 4.1029743878820229e+08 4.0905770091732645e+08 4.0791232110820305e+08 4.0683604279508752e+08 4.0584740857414418e+08 4.0493588064230001e+08 4.0411083105338603e+08 4.0335676367778844e+08 4.0264651185304767e+08 4.0198625554294914e+08 4.0136555500565797e+08 4.0074941299203277e+08 4.0030355066093314e+08 3.9985014184075618e+08 3.9938612195285904e+08 3.9889958749117374e+08 3.9839752026749438e+08 3.9786322356477618e+08 3.9732654044105136e+08 3.9672234907116562e+08 3.9607577844610918e+08 3.9537494162003571e+08 3.9461055667939508e+08 3.9377134400460464e+08 3.9284459723531508e+08 3.9180969593174541e+08 3.9068061411446851e+08 3.8939784645021081e+08 3.8795971156555480e+08 3.8634535085294038e+08 3.8453231634272820e+08 3.8249745911703306e+08 3.8021755895470077e+08 3.7766465743920201e+08 3.7485366493853718e+08 3.7171927754106128e+08 3.6827912931658173e+08 3.6454117602056330e+08 3.6053473371335053e+08 3.5630968036021352e+08 3.5196095205049282e+08 3.4762772572526842e+08 3.4355190530201727e+08 3.4000967349458629e+08 3.3746299438060468e+08 3.3654453008354205e+08 3.3818077075786883e+08 3.4371305872553670e+08 3.5517446174528825e+08 3.7578192170967495e+08 4.1097588781494403e+08 2.9475014161329705e+08 +4.3131377125709207e+00 1.3836774418676949e+08 1.3836174626084858e+08 1.3835126105486056e+08 1.3833992808751655e+08 1.3833435034827143e+08 1.3834277897732791e+08 1.3836808548009801e+08 1.3840461795172513e+08 1.3844783680200586e+08 1.3849835452794296e+08 1.3855852064986500e+08 1.3863012393012515e+08 1.3871504599014810e+08 1.3881564960452694e+08 1.3893470992758209e+08 1.3907542045101020e+08 1.3924167529816434e+08 1.3943817588133720e+08 1.3967047929694468e+08 1.3994509596284470e+08 1.4026966273495978e+08 1.4065318086580777e+08 1.4110730606160843e+08 1.4165182838438064e+08 1.4231298486904612e+08 1.4310607859428191e+08 1.4404361644897777e+08 1.4514664573375914e+08 1.4644242026198149e+08 1.4796284158848748e+08 1.4974466294972780e+08 1.5183001101475814e+08 1.5426694563296670e+08 1.5710999216381505e+08 1.6042059945606995e+08 1.6426741627130407e+08 1.6872631744708940e+08 1.7387999242233366e+08 1.7981692826037347e+08 1.8662944886795616e+08 1.9503141879024521e+08 2.0466126616848311e+08 2.1561300230301720e+08 2.2795108637192175e+08 2.4169251690871465e+08 2.5678554696269724e+08 2.7308721143117827e+08 2.9034393819690514e+08 3.0818210508620322e+08 3.2611280403590274e+08 3.4355448625573575e+08 3.5992027617677891e+08 3.7469381402142197e+08 3.8743145061038291e+08 3.9787567883525717e+08 4.0597734129589784e+08 4.1185822581833124e+08 4.1577735796070784e+08 4.1805783589076287e+08 4.1906723996298343e+08 4.1912002644875991e+08 4.1851840883068216e+08 4.1747343430841011e+08 4.1619025967633438e+08 4.1478599852154630e+08 4.1334740939966893e+08 4.1195499194939649e+08 4.1062973186824107e+08 4.0937923869285482e+08 4.0822520316274095e+08 4.0714212062751544e+08 4.0614826326742977e+08 4.0523286223719734e+08 4.0440504758898813e+08 4.0364906794588298e+08 4.0293753755602175e+08 4.0227641044974840e+08 4.0165507207397467e+08 4.0103841327536386e+08 4.0059221272329962e+08 4.0013847139699662e+08 3.9967411611652464e+08 3.9918723182393688e+08 3.9868480415704644e+08 3.9815013133774865e+08 3.9761304103809398e+08 3.9700841581505758e+08 3.9636138076987433e+08 3.9566004038265580e+08 3.9489510604508376e+08 3.9405529000329739e+08 3.9312787673287237e+08 3.9209223821611047e+08 3.9096232235396099e+08 3.8967863147667283e+08 3.8823946132968724e+08 3.8662393826066363e+08 3.8480959811225688e+08 3.8277327527107447e+08 3.8049173277044576e+08 3.7793699905916500e+08 3.7512396043338001e+08 3.7198731457553726e+08 3.6854468738386571e+08 3.6480404035073221e+08 3.6079471067162514e+08 3.5656661227606660e+08 3.5221474971172345e+08 3.4787840674158752e+08 3.4379962973809421e+08 3.4025484529213268e+08 3.3770633138639176e+08 3.3678721262853688e+08 3.3842463479504848e+08 3.4396091043922246e+08 3.5543057658844382e+08 3.7605290446902508e+08 4.1127222208149594e+08 2.9428532685027564e+08 +4.3181060353451786e+00 1.3974997102849960e+08 1.3974381613279930e+08 1.3973306977869415e+08 1.3972140340043536e+08 1.3971550579562005e+08 1.3972376150505027e+08 1.3974909994504729e+08 1.3978576937966970e+08 1.3982913102517518e+08 1.3987977895882040e+08 1.3994007618086571e+08 1.4001181433807611e+08 1.4009687398529527e+08 1.4019761870430255e+08 1.4031682570822293e+08 1.4045769010300943e+08 1.4062410815726665e+08 1.4082078451014319e+08 1.4105328013280082e+08 1.4132810967455351e+08 1.4165291473305845e+08 1.4203670145747229e+08 1.4249112850619590e+08 1.4303599007839823e+08 1.4369754798512375e+08 1.4449112252697989e+08 1.4542921613232651e+08 1.4653287725563520e+08 1.4782936547447965e+08 1.4935058745599607e+08 1.5113329897926691e+08 1.5321962487786356e+08 1.5565761642736319e+08 1.5850178045437500e+08 1.6181353303704798e+08 1.6566146999979398e+08 1.7012138554105613e+08 1.7527585093451610e+08 1.8121318549342912e+08 1.8802548084246331e+08 1.9642615294544372e+08 2.0605309966976807e+08 2.1699965496148169e+08 2.2932942361147705e+08 2.4305837112828514e+08 2.5813356776276767e+08 2.7441079128157401e+08 2.9163527344346797e+08 3.0943245513377720e+08 3.2731298372909659e+08 3.4469559975371522e+08 3.6099456302690059e+08 3.7569547520273483e+08 3.8835730844893569e+08 3.9872540114879310e+08 4.0675329198642880e+08 4.1256493966345352e+08 4.1642083952739590e+08 4.1864484073572797e+08 4.1960465442046952e+08 4.1961445680359465e+08 4.1897591455944097e+08 4.1789944060208565e+08 4.1658952273056167e+08 4.1516266951509988e+08 4.1370509955696261e+08 4.1229683030951488e+08 4.1095846371519977e+08 4.0969725843511146e+08 4.0853460290243483e+08 4.0744474530956393e+08 4.0644568818436092e+08 4.0552643246099198e+08 4.0469586693616259e+08 4.0393798592933553e+08 4.0322518549643350e+08 4.0256319445158750e+08 4.0194122407693267e+08 4.0132405390173113e+08 4.0087751892240810e+08 4.0042344890979236e+08 3.9995876212934518e+08 3.9947153208136833e+08 3.9896874817509913e+08 3.9843370368815202e+08 3.9789621077770382e+08 3.9729115676124215e+08 3.9664366270993787e+08 3.9594182463076681e+08 3.9517634729873133e+08 3.9433593491909063e+08 3.9340786291061580e+08 3.9237149582668161e+08 3.9124075545036227e+08 3.8995615210803020e+08 3.8851595874873698e+08 3.8689928685097784e+08 3.8508365625797707e+08 3.8304588485390180e+08 3.8076271912234747e+08 3.7820617458828694e+08 3.7539111346537715e+08 3.7225223541789252e+08 3.6880715809251177e+08 3.6506384865307742e+08 3.6105166518408841e+08 3.5682055716016638e+08 3.5246559679211259e+08 3.4812617347701043e+08 3.4404447411973739e+08 3.4049716672562838e+08 3.3794683937198621e+08 3.3702707382688010e+08 3.3866566376363522e+08 3.4420588071093714e+08 3.5568371391126174e+08 3.7632073692367214e+08 4.1156511109181261e+08 2.9382017527107471e+08 +4.3230743581194364e+00 1.4113066474355590e+08 1.4112435196474120e+08 1.4111334530106312e+08 1.4110134614585775e+08 1.4109512883434629e+08 1.4110321161018112e+08 1.4112858160768604e+08 1.4116538732651183e+08 1.4120889098770884e+08 1.4125966824711868e+08 1.4132009553981674e+08 1.4139196736226714e+08 1.4147716317564979e+08 1.4157804733296981e+08 1.4169739905849776e+08 1.4183841502255651e+08 1.4200499357772449e+08 1.4220184251280907e+08 1.4243452658424252e+08 1.4270956456831944e+08 1.4303460268081027e+08 1.4341865182340783e+08 1.4387337342072639e+08 1.4441856549608386e+08 1.4508051420652512e+08 1.4587455681914881e+08 1.4681319110478699e+08 1.4791746633514193e+08 1.4921464741202712e+08 1.5073664559950879e+08 1.5252021862448609e+08 1.5460748880319446e+08 1.5704649805945235e+08 1.5989173380385530e+08 1.6320457834971559e+08 1.6705357347645307e+08 1.7151443152415809e+08 1.7666960428302336e+08 1.8260724192611533e+08 1.8941920238166422e+08 1.9781844171128628e+08 2.0744233363568804e+08 2.1838353376567930e+08 2.3070479234521914e+08 2.4442104296841341e+08 2.5947817598928240e+08 2.7573071724977678e+08 2.9292271025436336e+08 3.1067866945016992e+08 3.2850881015880185e+08 3.4583217533322495e+08 3.6206417174710351e+08 3.7669237029047710e+08 3.8927836712298769e+08 3.9957034301254439e+08 4.0752452458739251e+08 4.1326703039519560e+08 4.1705981374202025e+08 4.1922746408269298e+08 4.2013781470316714e+08 4.2010475577527779e+08 4.1942940328232759e+08 4.1832153390066540e+08 4.1698496552185863e+08 4.1553560176130629e+08 4.1405912175559902e+08 4.1263506141024375e+08 4.1128363977673376e+08 4.1001176559608024e+08 4.0884052577955174e+08 4.0774392229100460e+08 4.0673968876941854e+08 4.0581659675118130e+08 4.0498329452488691e+08 4.0422352305146188e+08 4.0350946108886069e+08 4.0284661295455122e+08 4.0222401641394639e+08 4.0160634026136208e+08 4.0115947464304602e+08 4.0070507975779474e+08 4.0024006536377490e+08 3.9975249362938869e+08 3.9924935768014437e+08 3.9871394596733791e+08 3.9817605500482482e+08 3.9757057724587417e+08 3.9692262959387171e+08 3.9622029968269163e+08 3.9545428574755359e+08 3.9461328404882908e+08 3.9368456105289459e+08 3.9264747403342813e+08 3.9151591865876621e+08 3.9023041358203250e+08 3.8878920904135865e+08 3.8717140182095498e+08 3.8535449595210022e+08 3.8331529301109475e+08 3.8103052312485266e+08 3.7847218910674816e+08 3.7565512907702267e+08 3.7251404506821811e+08 3.6906654639659011e+08 3.6532060583150625e+08 3.6130560209966886e+08 3.5707151980476820e+08 3.5271349802613807e+08 3.4837103060768241e+08 3.4428644306838024e+08 3.4073664236799043e+08 3.3818452287635148e+08 3.3726411820563376e+08 3.3890386221232891e+08 3.4444797416390544e+08 3.5593387849092531e+08 3.7658542412906271e+08 4.1185456037392259e+08 2.9335469297123939e+08 +4.3280426808936943e+00 1.4250980515799001e+08 1.4250333513422066e+08 1.4249206895085526e+08 1.4247973682480833e+08 1.4247320010375926e+08 1.4248111000462002e+08 1.4250651115320003e+08 1.4254345248411661e+08 1.4258709738090298e+08 1.4263800308378705e+08 1.4269855941761294e+08 1.4277056369299501e+08 1.4285589425191358e+08 1.4295691618171549e+08 1.4307641067002156e+08 1.4321757590253726e+08 1.4338431225381279e+08 1.4358133058576190e+08 1.4381419935005823e+08 1.4408944134628752e+08 1.4441470728426453e+08 1.4479901267425162e+08 1.4525402152192587e+08 1.4579953536138377e+08 1.4646186426636478e+08 1.4725636221543762e+08 1.4819552212482151e+08 1.4930039374721369e+08 1.5059824686962071e+08 1.5212099683852789e+08 1.5390540273501685e+08 1.5599358367762363e+08 1.5843357146103585e+08 1.6127983320019385e+08 1.6459371645176262e+08 1.6844370784562200e+08 1.7290543664903530e+08 1.7806123385619962e+08 1.8399907911736128e+08 1.9081059525905347e+08 1.9920826715336913e+08 2.0882895050702235e+08 2.1976462163381654e+08 2.3207717609667352e+08 2.4578051671419924e+08 2.6081935687075710e+08 2.7704697571610308e+08 2.9420623638315952e+08 3.1192073737997633e+08 3.2970027445384806e+08 3.4696420604430646e+08 3.6312909736599112e+08 3.7768449625507396e+08 3.9019462541300690e+08 4.0041050480733138e+08 4.0829104082500440e+08 4.1396450081618553e+08 4.1769428423061478e+08 4.1980571016335529e+08 4.2066672547378117e+08 4.2059092832392180e+08 4.1987888015951818e+08 4.1873971949613643e+08 4.1737659342647064e+08 4.1590480069043046e+08 4.1440948145874661e+08 4.1296969073372608e+08 4.1160526554441291e+08 4.1032276567146319e+08 4.0914297728990066e+08 4.0803965706295127e+08 4.0703027050823444e+08 4.0610336058693218e+08 4.0526733582769161e+08 4.0450568477565300e+08 4.0379036978892851e+08 4.0312667140635133e+08 4.0250345452323163e+08 4.0188527778525180e+08 4.0143808530943638e+08 4.0098336935882241e+08 4.0051803123148811e+08 4.0003012187310857e+08 3.9952663807113791e+08 3.9899086356712633e+08 3.9845257910363364e+08 3.9784668264471823e+08 3.9719828678908271e+08 3.9649547089635891e+08 3.9572892673932743e+08 3.9488734272784311e+08 3.9395797648293370e+08 3.9292017814596957e+08 3.9178781727370268e+08 3.9050142117525154e+08 3.8905921746464121e+08 3.8744028840584010e+08 3.8562212240556788e+08 3.8358150492511356e+08 3.8129514993052000e+08 3.7873504773190141e+08 3.7591601234793860e+08 3.7277274856383204e+08 3.6932285728694445e+08 3.6557431682531315e+08 3.6155652630414677e+08 3.5731950503862202e+08 3.5295845818275124e+08 3.4861298284408420e+08 3.4452554123899418e+08 3.4097327682694381e+08 3.3841938647300160e+08 3.3749835032549816e+08 3.3913923472383344e+08 3.4468719545600587e+08 3.5618107514064783e+08 3.7684697117666763e+08 4.1214057549672693e+08 2.9288888602331626e+08 +4.3330110036679521e+00 1.4388737295335087e+08 1.4388074599942800e+08 1.4386922112590364e+08 1.4385655595687193e+08 1.4384970035378793e+08 1.4385743749085328e+08 1.4388286935311177e+08 1.4391994563059583e+08 1.4396373098303205e+08 1.4401476424647862e+08 1.4407544859167710e+08 1.4414758410764122e+08 1.4423304799129975e+08 1.4433420602828941e+08 1.4445384132151252e+08 1.4459515352286822e+08 1.4476204496689773e+08 1.4495922951246300e+08 1.4519227921638414e+08 1.4546772079782397e+08 1.4579320933687219e+08 1.4617776480842203e+08 1.4663305361426654e+08 1.4717888048667869e+08 1.4784157898662278e+08 1.4863651954908425e+08 1.4957619003949827e+08 1.5068164035603160e+08 1.5198014473241836e+08 1.5350362208331838e+08 1.5528883225184080e+08 1.5737789047931251e+08 1.5981881765737316e+08 1.6266605972565255e+08 1.6598092849621934e+08 1.6983185434871173e+08 1.7429438226668945e+08 1.7945072114297214e+08 1.8538867872873825e+08 1.9219964135307276e+08 2.0059561144619840e+08 2.1021293283570546e+08 2.2114290159848270e+08 2.3344655850832039e+08 2.4713677677208930e+08 2.6215709576188046e+08 2.7835955318865025e+08 2.9548583971317244e+08 3.1315864839856243e+08 3.3088736787230420e+08 3.4809168506399989e+08 3.6418933503541899e+08 3.7867185018354833e+08 3.9110608220765412e+08 4.0124588701436037e+08 4.0905284251627892e+08 4.1465735381178600e+08 4.1832425469458687e+08 4.2037958327896667e+08 4.2119139145850968e+08 4.2107297946791977e+08 4.2032435040610838e+08 4.1915400273275036e+08 4.1776441187158006e+08 4.1627027178114349e+08 4.1475618417570347e+08 4.1330072380665159e+08 4.1192334655365694e+08 4.1063026419909048e+08 4.0944196296924937e+08 4.0833195515845859e+08 4.0731743892792034e+08 4.0638672948780501e+08 4.0554799635569423e+08 4.0478447660578907e+08 4.0406791709202015e+08 4.0340337529322255e+08 4.0277954388379037e+08 4.0216087194365525e+08 4.0171335638594806e+08 4.0125832317173445e+08 4.0079266518498254e+08 4.0030442225772017e+08 3.9980059478681105e+08 3.9926446191849780e+08 3.9872578849787891e+08 3.9811947837347174e+08 3.9747063970244086e+08 3.9676734366859215e+08 3.9600027566095144e+08 3.9515811633214152e+08 3.9422811456343198e+08 3.9318961351326668e+08 3.9205645662753201e+08 3.9076918020357704e+08 3.8932598931493288e+08 3.8770595187979597e+08 3.8588654086739600e+08 3.8384452581817013e+08 3.8155660472952580e+08 3.7899475561935300e+08 3.7617376839507186e+08 3.7302835097867560e+08 3.6957609579091859e+08 3.6582498661137944e+08 3.6180444271928734e+08 3.5756451772550446e+08 3.5320048206718564e+08 3.4885203493201774e+08 3.4476177332196504e+08 3.4120707474404901e+08 3.3865143476815498e+08 3.3772977478070551e+08 3.3937178591495132e+08 3.4492354927905345e+08 3.5642530870871598e+08 3.7710538319657636e+08 4.1242316207100797e+08 2.9242276047685826e+08 +4.3379793264422100e+00 1.4526335084009773e+08 1.4525656554916054e+08 1.4524478222556564e+08 1.4523178478580213e+08 1.4522461051318038e+08 1.4523217495129946e+08 1.4525763706690368e+08 1.4529484763027844e+08 1.4533877265882400e+08 1.4538993259990570e+08 1.4545074392656559e+08 1.4552300947054616e+08 1.4560860525839028e+08 1.4570989773759934e+08 1.4582967187874711e+08 1.4597112875017107e+08 1.4613817258566818e+08 1.4633552016340405e+08 1.4656874705661285e+08 1.4684438379958794e+08 1.4717008971961421e+08 1.4755488911223134e+08 1.4801045059024140e+08 1.4855658177245331e+08 1.4921963927723888e+08 1.5001500974217483e+08 1.5095517578547841e+08 1.5206118711551681e+08 1.5336032197529975e+08 1.5488450233480075e+08 1.5667048820719492e+08 1.5876039027957460e+08 1.6120221776654285e+08 1.6405039455687600e+08 1.6736619573218650e+08 1.7121799432406664e+08 1.7568124982767415e+08 1.8083804773306447e+08 1.8677602252499315e+08 1.9358632264785603e+08 2.0198045687223268e+08 2.1159426328514782e+08 2.2251835680840951e+08 2.3481292334083775e+08 2.4848980767107168e+08 2.6349137814221340e+08 2.7966843630406618e+08 2.9676150825723183e+08 3.1439239211249417e+08 3.3207008180259311e+08 3.4921460569587892e+08 3.6524488002789277e+08 3.7965442927752101e+08 3.9201273650294316e+08 4.0207649021336782e+08 4.0980993156905240e+08 4.1534559234917498e+08 4.1894972891081125e+08 4.2094908779907078e+08 4.2171181744630194e+08 4.2155091428509605e+08 4.2076581929287750e+08 4.1956438900616091e+08 4.1814842633307242e+08 4.1663202055898523e+08 4.1509923546090436e+08 4.1362816619993025e+08 4.1223788838318795e+08 4.1093426675946164e+08 4.0973748839700633e+08 4.0862082215173101e+08 4.0760119959654868e+08 4.0666670901445198e+08 4.0582528166178805e+08 4.0505990408640420e+08 4.0434210853309941e+08 4.0367673014243007e+08 4.0305229001446235e+08 4.0243312824683172e+08 4.0198529337762880e+08 4.0152994669428730e+08 4.0106397271533424e+08 4.0057540026894015e+08 4.0007123330480814e+08 3.9953474649179888e+08 3.9899568865095323e+08 3.9838896988731599e+08 3.9773969377935463e+08 3.9703592343595558e+08 3.9626833793819451e+08 3.9542561027581650e+08 3.9449498069632643e+08 3.9345578552205861e+08 3.9232184209288007e+08 3.9103369602096778e+08 3.8958952992642319e+08 3.8796839755458081e+08 3.8614775662509429e+08 3.8410436094903380e+08 3.8181489274980974e+08 3.7925131796210033e+08 3.7642840237283707e+08 3.7328085742417508e+08 3.6982626697206533e+08 3.6607262020180655e+08 3.6204935630224007e+08 3.5780656276490068e+08 3.5343957451828635e+08 3.4908819165088344e+08 3.4499514404081827e+08 3.4143804079428297e+08 3.3888067240208977e+08 3.3795839619842327e+08 3.3960152043516850e+08 3.4515704035920441e+08 3.5666658407900047e+08 3.7736066535581017e+08 4.1270232574704808e+08 2.9195632235842711e+08 +4.3429476492164678e+00 1.4663771790707859e+08 1.4663077600526851e+08 1.4661873325774983e+08 1.4660540422330135e+08 1.4659791164989790e+08 1.4660530334005404e+08 1.4663079524376243e+08 1.4666813943456730e+08 1.4671220336003363e+08 1.4676348909564281e+08 1.4682442637369800e+08 1.4689682073297980e+08 1.4698254700451592e+08 1.4708397226178032e+08 1.4720388329480314e+08 1.4734548253895208e+08 1.4751267606589586e+08 1.4771018349715251e+08 1.4794358383168596e+08 1.4821941131630346e+08 1.4854532940148014e+08 1.4893036655975586e+08 1.4938619343068659e+08 1.4993262020731464e+08 1.5059602613731197e+08 1.5139181380575103e+08 1.5233246038857779e+08 1.5343901506967181e+08 1.5473875966402936e+08 1.5626361868475196e+08 1.5805035172540277e+08 1.6014106424165723e+08 1.6258375300044784e+08 1.6543281896498829e+08 1.6874949950424966e+08 1.7260210920759287e+08 1.7706602088114375e+08 1.8222319531719005e+08 1.8816109237355486e+08 1.9497062123283488e+08 2.0336278582248849e+08 2.1297292463035259e+08 2.2389097052571237e+08 2.3617625447281992e+08 2.4983959406151348e+08 2.6482218961604422e+08 2.8097361182700342e+08 2.9803323015818810e+08 3.1562195825733972e+08 3.3324840776109040e+08 3.5033296136942428e+08 3.6629572773793399e+08 3.8063223085414946e+08 3.9291458740176189e+08 4.0290231508186483e+08 4.1056230998058230e+08 4.1602921947777718e+08 4.1957071073006457e+08 4.2151422816124976e+08 4.2222800828956693e+08 4.2202473791113031e+08 4.2120329214437765e+08 4.1997088376425660e+08 4.1852864233619928e+08 4.1699005259695244e+08 4.1543864091531527e+08 4.1395202352902764e+08 4.1254889665500164e+08 4.1123477897540843e+08 4.1002955919313568e+08 4.0890626365684307e+08 4.0788155812129271e+08 4.0694330476653284e+08 4.0609919733704102e+08 4.0533197279997331e+08 4.0461294968734002e+08 4.0394674152002817e+08 4.0332169847295970e+08 4.0270205224406362e+08 4.0225390182636154e+08 4.0179824546305388e+08 4.0133195935349607e+08 4.0084306142964107e+08 4.0033855914193571e+08 3.9980172279712790e+08 3.9926228506468725e+08 3.9865516267950881e+08 3.9800545450539708e+08 3.9730121567391109e+08 3.9653311903555995e+08 3.9568983001148462e+08 3.9475858032122505e+08 3.9371869959819722e+08 3.9258397907945389e+08 3.9129497401988238e+08 3.8984984467138886e+08 3.8822763078058636e+08 3.8640577500328624e+08 3.8436101561486435e+08 3.8207001925612688e+08 3.7950473998999494e+08 3.7667991947197807e+08 3.7353027304749638e+08 3.7007337593011105e+08 3.6631722264463019e+08 3.6229127204609525e+08 3.5804564509043783e+08 3.5367574041039431e+08 3.4932145781481439e+08 3.4522565815290481e+08 3.4166617968614286e+08 3.3910710404795182e+08 3.3818421923901629e+08 3.3982844296751100e+08 3.4538767345623183e+08 3.5690490616963494e+08 3.7761282285775036e+08 4.1297807221642977e+08 2.9148957767159891e+08 +4.3479159719907257e+00 1.4801045400696161e+08 1.4800335595050874e+08 1.4799105567826548e+08 1.4797739528850892e+08 1.4796958485997191e+08 1.4797680368069595e+08 1.4800232492208546e+08 1.4803980208222285e+08 1.4808400412563622e+08 1.4813541477244169e+08 1.4819647697170472e+08 1.4826899893361479e+08 1.4835485426864401e+08 1.4845641064031237e+08 1.4857645661000708e+08 1.4871819593096718e+08 1.4888553645137361e+08 1.4908320055943614e+08 1.4931677059050798e+08 1.4959278440041479e+08 1.4991890943930158e+08 1.5030417821334469e+08 1.5076026320447323e+08 1.5130697686877206e+08 1.5197072065437919e+08 1.5276691284020489e+08 1.5370802496422988e+08 1.5481510535194996e+08 1.5611543895423838e+08 1.5764095231623739e+08 1.5942840402222997e+08 1.6151989362187430e+08 1.6396340466424918e+08 1.6681331431624731e+08 1.7013082125289750e+08 1.7398418053261134e+08 1.7844867707500023e+08 1.8360614568702096e+08 1.8954387024536714e+08 1.9635251930295154e+08 2.0474258079612860e+08 2.1434889975764146e+08 2.2526072612809658e+08 2.3753653590178624e+08 2.5118612071578789e+08 2.6614951591310763e+08 2.8227506664874035e+08 2.9930099368806458e+08 3.1684733669937825e+08 3.3442233739395958e+08 3.5144674563999939e+08 3.6734187368066281e+08 3.8160525234384328e+08 3.9381163411375397e+08 4.0372336239651859e+08 4.1130997983692479e+08 4.1670823832806104e+08 4.2018720407750887e+08 4.2207500887049723e+08 4.2273996890244317e+08 4.2249445553987336e+08 4.2163677434030366e+08 4.2037349250602621e+08 4.1890506545576811e+08 4.1734437351439989e+08 4.1577440618368572e+08 4.1427230145265919e+08 4.1285637703322679e+08 4.1153180651117033e+08 4.1031818101868099e+08 4.0918828532956606e+08 4.0815852015099758e+08 4.0721652238456410e+08 4.0636974901407337e+08 4.0560068837009960e+08 4.0488044616850996e+08 4.0421341503157413e+08 4.0358777485586941e+08 4.0296764952421373e+08 4.0251918731534916e+08 4.0206322505531877e+08 4.0159663066871667e+08 4.0110741130291069e+08 4.0060257785437882e+08 4.0006539638223141e+08 3.9952558328027147e+08 3.9891806228273916e+08 3.9826792740363103e+08 3.9756322589512819e+08 3.9679462445597386e+08 3.9595078103055692e+08 3.9501891891657335e+08 3.9397836120563012e+08 3.9284287303541982e+08 3.9155301963059068e+08 3.9010693896038938e+08 3.8848365694550461e+08 3.8666060136472017e+08 3.8461449514936090e+08 3.8232198955137920e+08 3.7975502696932286e+08 3.7692832492013204e+08 3.7377660303286213e+08 3.7031742780122429e+08 3.6655879902404404e+08 3.6253019497782683e+08 3.5828176967136163e+08 3.5390898465118653e+08 3.4955183827163982e+08 3.4545332044913650e+08 3.4189149616116166e+08 3.3933073441180778e+08 3.3840724859597105e+08 3.4005255822857028e+08 3.4561545336286306e+08 3.5714027993362403e+08 3.7786186094340444e+08 4.1325040721024191e+08 2.9102253239696950e+08 +4.3528842947649835e+00 1.4938154302308184e+08 1.4937428884573799e+08 1.4936172974178478e+08 1.4934773877948034e+08 1.4933961122377449e+08 1.4934665707462072e+08 1.4937220723004019e+08 1.4940981670000494e+08 1.4945415608149022e+08 1.4950569075667316e+08 1.4956687684683344e+08 1.4963952519881284e+08 1.4972550817733768e+08 1.4982719400051704e+08 1.4994737295272097e+08 1.5008925005571592e+08 1.5025673487335613e+08 1.5045455248399615e+08 1.5068828846989581e+08 1.5096448419221282e+08 1.5129081097830817e+08 1.5167630522375059e+08 1.5213264106931359e+08 1.5267963292283839e+08 1.5334370400519931e+08 1.5414028803498176e+08 1.5508185071742532e+08 1.5618943918635869e+08 1.5749034109295037e+08 1.5901648450345460e+08 1.6080462640553924e+08 1.6289685976882741e+08 1.6534115415713918e+08 1.6819186207111359e+08 1.7151014251516330e+08 1.7536418992978060e+08 1.7982920015720615e+08 1.8498688073536679e+08 1.9092433821435380e+08 1.9773199915865448e+08 2.0611982440077883e+08 2.1572217166502684e+08 2.2662760710805824e+08 2.3889375174319109e+08 2.5252937252773553e+08 2.6747334288746792e+08 2.8357278778833246e+08 3.0056478724747956e+08 3.1806851743418550e+08 3.3559186247443140e+08 3.5255595218799448e+08 3.6838331349141812e+08 3.8257349129087383e+08 3.9470387595400918e+08 4.0453963303028548e+08 4.1205294331455320e+08 4.1738265211128151e+08 4.2079921295115197e+08 4.2263143449925411e+08 4.2324770426117969e+08 4.2296007242196625e+08 4.2206627131301129e+08 4.2077222078088373e+08 4.1927770131324279e+08 4.1769498897718400e+08 4.1610653695679224e+08 4.1458900567383963e+08 4.1316033522474569e+08 4.1182535507285988e+08 4.1060335957562315e+08 4.0946689286604702e+08 4.0843209137350649e+08 4.0748636754788542e+08 4.0663694236297071e+08 4.0586605645873910e+08 4.0514460362976485e+08 4.0447675632133764e+08 4.0385052479975605e+08 4.0322992571436310e+08 4.0278115546569586e+08 4.0232489108378661e+08 4.0185799226921481e+08 4.0136845549047512e+08 4.0086329503589302e+08 4.0032577283398342e+08 3.9978558887653154e+08 3.9917767426772428e+08 3.9852711803567529e+08 3.9782195965251493e+08 3.9705285974037069e+08 3.9620846886247504e+08 3.9527600199882442e+08 3.9423477584596312e+08 3.9309852944662368e+08 3.9180783832075512e+08 3.9036081824076664e+08 3.8873648147424364e+08 3.8691224110871410e+08 3.8486480492343009e+08 3.8257080897414899e+08 3.8000218420298028e+08 3.7717362398073190e+08 3.7401985259957111e+08 3.7055842775648993e+08 3.6679735445821023e+08 3.6276613016084439e+08 3.5851494151108956e+08 3.5413931218340456e+08 3.4977933790263987e+08 3.4567813575405848e+08 3.4211399499353194e+08 3.3955156823226541e+08 3.3862748899491268e+08 3.4027387096639961e+08 3.4584038490565407e+08 3.5737271035839862e+08 3.7810778488912487e+08 4.1351933649909222e+08 2.9055519249215990e+08 +4.3578526175392414e+00 1.5075096525030160e+08 1.5074355417512652e+08 1.5073073840569839e+08 1.5071641641708094e+08 1.5070797180330032e+08 1.5071484471820542e+08 1.5074042338411182e+08 1.5077816450269884e+08 1.5082264044145730e+08 1.5087429826228347e+08 1.5093560721252805e+08 1.5100838074242854e+08 1.5109448994489241e+08 1.5119630355714166e+08 1.5131661353858301e+08 1.5145862613061419e+08 1.5162625255118302e+08 1.5182422049260488e+08 1.5205811869473726e+08 1.5233449192079258e+08 1.5266101525183022e+08 1.5304672883017787e+08 1.5350330827146703e+08 1.5405056962476528e+08 1.5471495745587236e+08 1.5551192066931909e+08 1.5645391894327244e+08 1.5756199788709256e+08 1.5886344741734362e+08 1.6039019661234486e+08 1.6217900027535409e+08 1.6427194412454388e+08 1.6671698297218010e+08 1.6956844378524956e+08 1.7288744492385793e+08 1.7674211912756702e+08 1.8120757197412825e+08 1.8636538245589131e+08 1.9230247845794836e+08 1.9910904320625818e+08 2.0749449935260305e+08 2.1709272346181870e+08 2.2799159707258424e+08 2.4024788623037368e+08 2.5386933451264721e+08 2.6879365651784307e+08 2.8486676239205098e+08 3.0182459936702091e+08 3.1928549058602303e+08 3.3675697490523702e+08 3.5366057481931907e+08 3.6942004292557120e+08 3.8353694535375947e+08 3.9559131234324527e+08 4.0535112795424408e+08 4.1279120267722261e+08 4.1805246411955267e+08 4.2140674142302561e+08 4.2318350968686438e+08 4.2375121940360481e+08 4.2342159386571431e+08 4.2249178854911441e+08 4.2116707418875194e+08 4.1964655557954007e+08 4.1804190469724125e+08 4.1643503896889520e+08 4.1490214193760425e+08 4.1346077697843546e+08 4.1211543040754300e+08 4.1088510060628217e+08 4.0974209200102240e+08 4.0870227751620209e+08 4.0775284597524869e+08 4.0690078309342092e+08 4.0612808276617247e+08 4.0540542776281852e+08 4.0473677107171243e+08 4.0410995397838414e+08 4.0348888648003924e+08 4.0303981193613350e+08 4.0258324920265585e+08 4.0211604980148357e+08 4.0162619963096958e+08 4.0112071631910676e+08 4.0058285777721429e+08 4.0004230747101557e+08 3.9943400424311566e+08 3.9878303200095880e+08 3.9807742253470641e+08 3.9730783046742594e+08 3.9646289907360190e+08 3.9552983512139171e+08 3.9448794905864125e+08 3.9335095383638406e+08 3.9205943559581739e+08 3.9061148799754852e+08 3.8898610982863504e+08 3.8716069967191738e+08 3.8511195034500134e+08 3.8281648290009832e+08 3.8024621703080690e+08 3.7741582195355701e+08 3.7426002700263172e+08 3.7079638100259781e+08 3.6703289410096306e+08 3.6299908269158542e+08 3.5874516564624995e+08 3.5436672798255122e+08 3.5000396162206131e+08 3.4590010892434883e+08 3.4233368099039304e+08 3.3976961027994788e+08 3.3884494519368982e+08 3.4049238596248007e+08 3.4606247294408631e+08 3.5760220246516240e+08 3.7835060000725353e+08 4.1378486589347667e+08 2.9008756389182216e+08 +4.3628209403134992e+00 1.5211870039297932e+08 1.5211113418613106e+08 1.5209806137251809e+08 1.5208340947499847e+08 1.5207464779920000e+08 1.5208134791327548e+08 1.5210695468957156e+08 1.5214482679348162e+08 1.5218943850710294e+08 1.5224121859077525e+08 1.5230264937042341e+08 1.5237554686621514e+08 1.5246178087327605e+08 1.5256372061301512e+08 1.5268415967183250e+08 1.5282630546113345e+08 1.5299407079242614e+08 1.5319218589545098e+08 1.5342624257817173e+08 1.5370278890306187e+08 1.5402950358192709e+08 1.5441543036068529e+08 1.5487224614614773e+08 1.5541976831860721e+08 1.5608446236146173e+08 1.5688179211197463e+08 1.5782421102679399e+08 1.5893276285901648e+08 1.6023473935613808e+08 1.6176207009989694e+08 1.6355150712411058e+08 1.6564512822388762e+08 1.6809087269626015e+08 1.7094304110958630e+08 1.7426271020834929e+08 1.7811794995212522e+08 1.8258377447230959e+08 1.8774163294404772e+08 1.9367827325665987e+08 2.0048363395753679e+08 2.0886658847618830e+08 2.1846053836902153e+08 2.2935267974377772e+08 2.4159892371537459e+08 2.5520599180714950e+08 2.7011044290777940e+08 2.8615697773350507e+08 3.0308041870449305e+08 3.2049824640872264e+08 3.3791766671518576e+08 3.5476060746312660e+08 3.7045205785726523e+08 3.8449561230270433e+08 3.9647394280651855e+08 4.0615784823448056e+08 4.1352476027623653e+08 4.1871767772404039e+08 4.2200979363683200e+08 4.2373123913879585e+08 4.2425051942786443e+08 4.2387902523575556e+08 4.2291333158765817e+08 4.2155805837982088e+08 4.2001163397249490e+08 4.1838512643277800e+08 4.1675991799935102e+08 4.1521171603220534e+08 4.1375770808460653e+08 4.1240203830281496e+08 4.1116340989342940e+08 4.1001388850995278e+08 4.0896908434581691e+08 4.0801596342385405e+08 4.0716127695411468e+08 4.0638677303202349e+08 4.0566292429736537e+08 4.0499346500396812e+08 4.0436606810411435e+08 4.0374453752467823e+08 4.0329516242443305e+08 4.0283830510277265e+08 4.0237080894977218e+08 4.0188064940253061e+08 4.0137484737413263e+08 4.0083665687447554e+08 4.0029574471846175e+08 3.9968705785548455e+08 3.9903567493685609e+08 3.9832962016959071e+08 3.9755954225414640e+08 3.9671407726925689e+08 3.9578042387577933e+08 3.9473788641959757e+08 3.9360015176529580e+08 3.9230781699773872e+08 3.9085895375239593e+08 3.8923254750772560e+08 3.8740598252683830e+08 3.8535593685797662e+08 3.8305901674023193e+08 3.8048713082780331e+08 3.7765492417351735e+08 3.7449713153324020e+08 3.7103129278096372e+08 3.6726542314087868e+08 3.6322905770163614e+08 3.5897244714866775e+08 3.5459123705816156e+08 3.5022571437808722e+08 3.4611924484969866e+08 3.4255055899079901e+08 3.3998486535804749e+08 3.3905962198205030e+08 3.4070810802977222e+08 3.4628172236994064e+08 3.5782876130912322e+08 3.7859031164617079e+08 4.1404700124294680e+08 2.8961965250764728e+08 +4.3677892630877571e+00 1.5348473141031301e+08 1.5347701025521740e+08 1.5346368057244682e+08 1.5344869943105438e+08 1.5343962070905885e+08 1.5344614806138453e+08 1.5347178254052478e+08 1.5350978496346682e+08 1.5355453166793618e+08 1.5360643313175201e+08 1.5366798470970228e+08 1.5374100495985860e+08 1.5382736235303929e+08 1.5392942655923027e+08 1.5404999274445748e+08 1.5419226944087523e+08 1.5436017099263889e+08 1.5455843009085643e+08 1.5479264152190351e+08 1.5506935654496831e+08 1.5539625737960365e+08 1.5578239123200920e+08 1.5623943611747199e+08 1.5678721043785238e+08 1.5745220016684502e+08 1.5824988382133231e+08 1.5919270844329524e+08 1.6030171559728220e+08 1.6160419842873093e+08 1.6313208651526764e+08 1.6492212853622887e+08 1.6701639369498730e+08 1.6946280501050875e+08 1.7231563579017106e+08 1.7563592019448692e+08 1.7949166432782531e+08 1.8395778969716135e+08 1.8911561439627397e+08 1.9505170499452004e+08 2.0185575403037640e+08 2.1023607470461458e+08 2.1982559971909145e+08 2.3071083895808885e+08 2.4294684866777986e+08 2.5653932966955030e+08 2.7142368828477335e+08 2.8744342121204150e+08 3.0433223404675728e+08 3.2170677528404534e+08 3.3907393006097430e+08 3.5585604417364913e+08 3.7147935428064805e+08 3.8544949002029765e+08 3.9735176697435051e+08 4.0695979503379315e+08 4.1425361855144477e+08 4.1937829637551129e+08 4.2260837380901003e+08 4.2427462762603951e+08 4.2474560949367684e+08 4.2433237195298642e+08 4.2333090602099305e+08 4.2194517905408347e+08 4.2037294225789821e+08 4.1872465998618472e+08 4.1708117987004298e+08 4.1551773378886807e+08 4.1405113437524384e+08 4.1268518458743602e+08 4.1143829325928873e+08 4.1028228820723504e+08 4.0923251766781563e+08 4.0827572569018149e+08 4.0741842973157483e+08 4.0664213303350252e+08 4.0591709900129956e+08 4.0524684387726659e+08 4.0461887292719704e+08 4.0399688459045869e+08 4.0354721266534185e+08 4.0309006451250559e+08 4.0262227543579936e+08 4.0213181051985341e+08 4.0162569390893877e+08 4.0108717582586282e+08 4.0054590631156981e+08 3.9993684078799570e+08 3.9928505251776254e+08 3.9857855822108287e+08 3.9780800075333744e+08 3.9696200909028184e+08 3.9602777389016300e+08 3.9498459354292089e+08 3.9384612883027083e+08 3.9255298810565782e+08 3.9110322106329566e+08 3.8947580004672742e+08 3.8764809518265224e+08 3.8559676994203621e+08 3.8329841594239289e+08 3.8072493100455463e+08 3.7789093601110005e+08 3.7473117151627195e+08 3.7126316836832082e+08 3.6749494680093169e+08 3.6345606035657156e+08 3.5919679112331873e+08 3.5481284445245254e+08 3.5044460115091819e+08 3.4633554845223629e+08 3.4276463386624908e+08 3.4019733830151063e+08 3.3927152418191165e+08 3.4092104201329184e+08 3.4649813810757339e+08 3.5805239197894061e+08 3.7882692519015950e+08 4.1430574843505645e+08 2.8915146422837180e+08 +4.3727575858620149e+00 1.5484903964490440e+08 1.5484116331375858e+08 1.5482757726126552e+08 1.5481226721760234e+08 1.5480287214105526e+08 1.5480922665032664e+08 1.5483488841922510e+08 1.5487302049164113e+08 1.5491790140170461e+08 1.5496992336309171e+08 1.5503159470794338e+08 1.5510473650176710e+08 1.5519121586241621e+08 1.5529340287480128e+08 1.5541409423692811e+08 1.5555649955212915e+08 1.5572453463622975e+08 1.5592293456571239e+08 1.5615729701627937e+08 1.5643417634082785e+08 1.5676125814419588e+08 1.5714759294996777e+08 1.5760485969896549e+08 1.5815287750531760e+08 1.5881815240662766e+08 1.5961617734628850e+08 1.6055939275837240e+08 1.6166883768800521e+08 1.6297180624626115e+08 1.6450022749938750e+08 1.6629084618913776e+08 1.6838572225919774e+08 1.7083276169039080e+08 1.7368620966859823e+08 1.7700705680463544e+08 1.8086324427657145e+08 1.8532959979444376e+08 1.9048730911076126e+08 1.9642275615932852e+08 2.0322538614806715e+08 2.1160294107960716e+08 2.2118789095588285e+08 2.3206605866691485e+08 2.4429164567534405e+08 2.5786933347907937e+08 2.7273337900034755e+08 2.8872608035434079e+08 3.0558003430836958e+08 3.2291106772218376e+08 3.4022575722613782e+08 3.5694687912818605e+08 3.7250192830773038e+08 3.8639857650123435e+08 3.9822478458004743e+08 4.0775696961007428e+08 4.1497778002829635e+08 4.2003432360347307e+08 4.2320248622727108e+08 4.2481367998577511e+08 4.2523649481962508e+08 4.2478163949371648e+08 4.2374451749282199e+08 4.2232844196050501e+08 4.2073048624798012e+08 4.1906051120581806e+08 4.1739883044678771e+08 4.1582020108000553e+08 4.1434106172304434e+08 4.1296487513010007e+08 4.1170975656597805e+08 4.1054729694597799e+08 4.0949258332614672e+08 4.0853213860839242e+08 4.0767224725037503e+08 4.0689416858555365e+08 4.0616795768061388e+08 4.0549691348750246e+08 4.0486837423558116e+08 4.0424593345569426e+08 4.0379596843200058e+08 4.0333853319793475e+08 4.0287045501899374e+08 4.0237968873501217e+08 4.0187326166828573e+08 4.0133442036883372e+08 4.0079279797974104e+08 4.0018335876240522e+08 3.9953117045530665e+08 3.9882424239160419e+08 3.9805321165611964e+08 3.9720670021501201e+08 3.9627189082990748e+08 3.9522807607828420e+08 3.9408889066549444e+08 3.9279495453441465e+08 3.9134429552519453e+08 3.8971587301636064e+08 3.8788704318500179e+08 3.8583445511314988e+08 3.8353468598912317e+08 3.8095962300698590e+08 3.7812386287228596e+08 3.7496215231288928e+08 3.7149201307469827e+08 3.6772147033751619e+08 3.6368009585521519e+08 3.5941820270762479e+08 3.5503155524130410e+08 3.5066062695331252e+08 3.4654902468600869e+08 3.4297591051974869e+08 3.4040703397670299e+08 3.3948065664630657e+08 3.4113119279018831e+08 3.4671172511346692e+08 3.5827309959614307e+08 3.7906044605775005e+08 4.1456111339652288e+08 2.8868300491978544e+08 +4.3777259086362728e+00 1.5621160765388858e+08 1.5620357593453205e+08 1.5618973313670555e+08 1.5617409448207048e+08 1.5616438365958238e+08 1.5617056524958479e+08 1.5619625389649090e+08 1.5623451494474697e+08 1.5627952927509522e+08 1.5633167085075563e+08 1.5639346093100572e+08 1.5646672305777907e+08 1.5655332296846470e+08 1.5665563112775934e+08 1.5677644571802229e+08 1.5691897736553666e+08 1.5708714329596606e+08 1.5728568089572442e+08 1.5752019064049128e+08 1.5779722987420911e+08 1.5812448746448794e+08 1.5851101710974261e+08 1.5896849849352092e+08 1.5951675113350117e+08 1.6018230070504850e+08 1.6098065432557636e+08 1.6192424562808967e+08 1.6303411080848041e+08 1.6433754451089132e+08 1.6586647478526202e+08 1.6765764185292870e+08 1.6975309573172924e+08 1.7220072460568738e+08 1.7505474468152958e+08 1.7837610205804715e+08 1.8223267191890568e+08 1.8669918700920784e+08 1.9185669948685616e+08 1.9779140934216797e+08 2.0459251314013931e+08 2.1296717075136793e+08 2.2254739563510656e+08 2.3341832293625423e+08 2.4563329944363737e+08 2.5919598873601934e+08 2.7403950153018641e+08 2.9000494281332737e+08 3.0682380853182846e+08 3.2411111436155677e+08 3.4137314061990130e+08 3.5803310662691194e+08 3.7351977616829336e+08 3.8734286985083222e+08 3.9909299546061164e+08 4.0854937331577766e+08 4.1569724732004356e+08 4.2068576301623195e+08 4.2379213525069338e+08 4.2534840111932772e+08 4.2572318068542635e+08 4.2522683339052325e+08 4.2415417169956684e+08 4.2270785289696711e+08 4.2108427180164331e+08 4.1939268598407632e+08 4.1771287563917768e+08 4.1611912382054478e+08 4.1462749604204100e+08 4.1324111583900410e+08 4.1197780571425533e+08 4.1080892061844033e+08 4.0974928720322001e+08 4.0878520805057520e+08 4.0792273537292248e+08 4.0714288554112166e+08 4.0641550617806286e+08 4.0574367966879684e+08 4.0511457785395753e+08 4.0449168993676925e+08 4.0404143553337294e+08 4.0358371696185285e+08 4.0311535349587971e+08 4.0262428983765447e+08 4.0211755643428320e+08 4.0157839627775919e+08 4.0103642548956615e+08 4.0042661753610140e+08 3.9977403449795085e+08 3.9906667841815293e+08 3.9829518068909222e+08 3.9744815635890281e+08 3.9651278039557874e+08 3.9546833971209508e+08 3.9432844294072270e+08 3.9303372193595082e+08 3.9158218276852888e+08 3.8995277202393234e+08 3.8812283211406738e+08 3.8606899792262560e+08 3.8376783239873898e+08 3.8119121231677997e+08 3.7835371019707465e+08 3.7519007931716210e+08 3.7171783224582851e+08 3.6794499904157662e+08 3.6390116943005431e+08 3.5963668707334352e+08 3.5524737453265208e+08 3.5087379683078867e+08 3.4675967853718972e+08 3.4318439388594109e+08 3.4061395728100246e+08 3.3968702425995541e+08 3.4133856526820934e+08 3.4692248837616366e+08 3.5849088931543368e+08 3.7929087970295489e+08 4.1481310209173524e+08 2.8821428042474037e+08 +4.3826942314105306e+00 1.5757241474123874e+08 1.5756422854191467e+08 1.5755013024925897e+08 1.5753416338595498e+08 1.5752413684744596e+08 1.5753014551456189e+08 1.5755586063097602e+08 1.5759424997741783e+08 1.5763939694309667e+08 1.5769165724922705e+08 1.5775356503308877e+08 1.5782694628303537e+08 1.5791366532683283e+08 1.5801609297395343e+08 1.5813702884570569e+08 1.5827968454037103e+08 1.5844797863353059e+08 1.5864665074535435e+08 1.5888130406259379e+08 1.5915849881746584e+08 1.5948592701838893e+08 1.5987264539555305e+08 1.6033033419342425e+08 1.6087881302457181e+08 1.6154462677659512e+08 1.6234329648813528e+08 1.6328724879939884e+08 1.6439751672688293e+08 1.6570139501680928e+08 1.6723081019782573e+08 1.6902249739021888e+08 1.7111849602115291e+08 1.7356667572092429e+08 1.7642122286156747e+08 1.7974303807047138e+08 1.8359992947303742e+08 1.8806653368597516e+08 1.9322376802592316e+08 1.9915764723806259e+08 2.0595711794165069e+08 2.1432874697874531e+08 2.2390409742374220e+08 2.3476761594665459e+08 2.4697179479602256e+08 2.6051928106150314e+08 2.7534204247407252e+08 2.9127999636756068e+08 3.0806354588681769e+08 3.2530690596751612e+08 3.4251607277851707e+08 3.5911472109340578e+08 3.7453289420957810e+08 3.8828236828582293e+08 3.9995639955561781e+08 4.0933700759844738e+08 4.1641202312368727e+08 4.2133261829913783e+08 4.2437732530891728e+08 4.2587879599317187e+08 4.2620567242917544e+08 4.2566795923010528e+08 4.2455987438852912e+08 4.2308341771046853e+08 4.2143430482384962e+08 4.1972119025806051e+08 4.1802332139831954e+08 4.1641450796642995e+08 4.1491044328592706e+08 4.1351391266236073e+08 4.1224244664398259e+08 4.1106716515495896e+08 4.1000263521914530e+08 4.0903493992647880e+08 4.0816989999834764e+08 4.0738828978985357e+08 4.0665975037407506e+08 4.0598714829190117e+08 4.0535748964439380e+08 4.0473415988652354e+08 4.0428361981639183e+08 4.0382562164458090e+08 4.0335697669939309e+08 4.0286561965342855e+08 4.0235858402578270e+08 4.0181910936299556e+08 4.0127679464432937e+08 4.0066662290290439e+08 4.0001365043041629e+08 3.9930587207618976e+08 3.9853391361550438e+08 3.9768638327238065e+08 3.9675044832553357e+08 3.9570539016682148e+08 3.9456479136172307e+08 3.9326929599684322e+08 3.9181688845940441e+08 3.9018650271245760e+08 3.8835546758624732e+08 3.8630040395699084e+08 3.8399786072439176e+08 3.8141970444925392e+08 3.7858048346021420e+08 3.7541495795856768e+08 3.7194063126005614e+08 3.6816553823723459e+08 3.6411928634687060e+08 3.5985224942439401e+08 3.5546030746666652e+08 3.5108411586022002e+08 3.4696751502346110e+08 3.4339008893071908e+08 3.4081811314335316e+08 3.3989063193727601e+08 3.4154316438653928e+08 3.4713043291558301e+08 3.5870576632446170e+08 3.7951823161370474e+08 4.1506172052322805e+08 2.8774529656315953e+08 +4.3876625541847885e+00 1.5893144405551973e+08 1.5892310313919279e+08 1.5890874940691635e+08 1.5889245525673968e+08 1.5888211345005676e+08 1.5888794919319481e+08 1.5891369036901116e+08 1.5895220733207017e+08 1.5899748614989144e+08 1.5904986430192989e+08 1.5911188875720921e+08 1.5918538792104083e+08 1.5927222468166900e+08 1.5937477015886560e+08 1.5949582536605567e+08 1.5963860282498974e+08 1.5980702239949146e+08 1.6000582586825082e+08 1.6024061903959745e+08 1.6051796493241912e+08 1.6084555857318282e+08 1.6123245958145648e+08 1.6169034858071062e+08 1.6223904497061750e+08 1.6290511242560098e+08 1.6370408565363094e+08 1.6464838410976079e+08 1.6575903730233735e+08 1.6706333964947298e+08 1.6859321565469706e+08 1.7038539475704584e+08 1.7248190512991115e+08 1.7493059709517980e+08 1.7778562633697554e+08 1.8110784705507270e+08 1.8496499925594282e+08 1.8943162226978147e+08 1.9458849733080286e+08 2.0052145264539966e+08 2.0731918359381345e+08 2.1568765312907591e+08 2.2525798010022113e+08 2.3611392199334481e+08 2.4830711667407352e+08 2.6183919619776735e+08 2.7664098855482531e+08 2.9255122892194194e+08 3.0929923567038822e+08 3.2649843343279624e+08 3.4365454636345595e+08 3.6019171707201034e+08 3.7554127889620125e+08 3.8921707013274419e+08 4.0081499690708739e+08 4.1011987399836600e+08 4.1712211022306424e+08 4.2197489321586323e+08 4.2495806090192813e+08 4.2640486963718313e+08 4.2668397544841671e+08 4.2610502265430766e+08 4.2496163135842448e+08 4.2345514229577267e+08 4.2178059126551014e+08 4.2004603000859553e+08 4.1833017371845013e+08 4.1670635951440638e+08 4.1518990944887561e+08 4.1378327158703434e+08 4.1250368533366364e+08 4.1132203652339846e+08 4.1025263333150214e+08 4.0928134018321657e+08 4.0841374706403995e+08 4.0763038725821513e+08 4.0690069618523186e+08 4.0622732526477909e+08 4.0559711550565380e+08 4.0497334919466341e+08 4.0452252716432172e+08 4.0406425312242544e+08 4.0359533049924934e+08 4.0310368404524368e+08 4.0259635029765058e+08 4.0205656547241771e+08 4.0151391128255802e+08 4.0090338069356674e+08 4.0025002407291007e+08 3.9954182917563605e+08 3.9876941623511767e+08 3.9792138674287009e+08 3.9698490039283651e+08 3.9593923320076561e+08 3.9479794167052376e+08 3.9350168244026434e+08 3.9204841829924434e+08 3.9041707075940329e+08 3.8858495525299317e+08 3.8652867883730364e+08 3.8422477655387306e+08 3.8164510495502549e+08 3.7880418817093813e+08 3.7563679370008260e+08 3.7216041552949566e+08 3.6838309328177714e+08 3.6433445190433240e+08 3.6006489499723792e+08 3.5567035921626544e+08 3.5129158915059412e+08 3.4717253919377899e+08 3.4359300065086234e+08 3.4101950652343357e+08 3.4009148462481982e+08 3.4174499511553657e+08 3.4733556378276223e+08 3.5891773584260446e+08 3.7974250731327862e+08 4.1530697473100126e+08 2.8727605913204622e+08 +4.3926308769590463e+00 1.6028867764644569e+08 1.6028018138581124e+08 1.6026557390233746e+08 1.6024895170425585e+08 1.6023829531901434e+08 1.6024395812477785e+08 1.6026972494408333e+08 1.6030836883976114e+08 1.6035377872836179e+08 1.6040627384078401e+08 1.6046841393519181e+08 1.6054202980404079e+08 1.6062898286618590e+08 1.6073164451637089e+08 1.6085281711466092e+08 1.6099571405672604e+08 1.6116425643354672e+08 1.6136318810708416e+08 1.6159811741834939e+08 1.6187561007017434e+08 1.6220336398541397e+08 1.6259044153085148e+08 1.6304852352713796e+08 1.6359742885376287e+08 1.6426373954677266e+08 1.6506300373206189e+08 1.6600763348791626e+08 1.6711865448590317e+08 1.6842336038667783e+08 1.6995367316556865e+08 1.7174631600223428e+08 1.7384330515428901e+08 1.7629247088224837e+08 1.7914793733166471e+08 1.8247051132143417e+08 1.8632786368258750e+08 1.9079443530533677e+08 1.9595087010590765e+08 2.0188280846652383e+08 2.0867869324405080e+08 2.1704387267848751e+08 2.2660902755467203e+08 2.3745722548615578e+08 2.4963925013615775e+08 2.6315572000757194e+08 2.7793632661915451e+08 2.9381862850688523e+08 3.1053086730669343e+08 3.2768568777725387e+08 3.4478855416085982e+08 3.6126408923051953e+08 3.7654492680909818e+08 3.9014697382749593e+08 4.0166878765907383e+08 4.1089797414964902e+08 4.1782751148678964e+08 4.2261259160637432e+08 4.2553434659923947e+08 4.2692662714593703e+08 4.2715809519857800e+08 4.2653802935903984e+08 4.2535944845802236e+08 4.2382303259544426e+08 4.2212313712353474e+08 4.2036721126035434e+08 4.1863343863580513e+08 4.1699468450313562e+08 4.1546590056467962e+08 4.1404919863962734e+08 4.1276152780028236e+08 4.1157354073002636e+08 4.1049928753537691e+08 4.0952441480493885e+08 4.0865428254306942e+08 4.0786918391005158e+08 4.0713834956504554e+08 4.0646421653110528e+08 4.0583346137253875e+08 4.0520926378691906e+08 4.0475816349545676e+08 4.0429961730766386e+08 4.0383042080098152e+08 4.0333848891087824e+08 4.0283086114089054e+08 4.0229077048841387e+08 4.0174778128033239e+08 4.0113689677446097e+08 4.0048316128356421e+08 3.9977455556319547e+08 3.9900169438267416e+08 3.9815317259275889e+08 3.9721614240643334e+08 3.9616987460729283e+08 3.9502789964389896e+08 3.9373088702419686e+08 3.9227677802512473e+08 3.9064448187764138e+08 3.8881130079986858e+08 3.8675382821944475e+08 3.8444858550930756e+08 3.8186741941820449e+08 3.7902482987170124e+08 3.7585559203794211e+08 3.7237719050018626e+08 3.6859766956612009e+08 3.6454667143332964e+08 3.6027462906024069e+08 3.5587753498554295e+08 3.5149622184232062e+08 3.4737475612809765e+08 3.4379313407451528e+08 3.4121814241079050e+08 3.4028958729917181e+08 3.4194406245519173e+08 3.4753788606059039e+08 3.5912680312207717e+08 3.7996371235778749e+08 4.1554887079238302e+08 2.8680657390549386e+08 +4.3975991997333042e+00 1.6164409670353705e+08 1.6163544709514046e+08 1.6162058383042246e+08 1.6160363506396747e+08 1.6159266427589151e+08 1.6159815423635688e+08 1.6162394627888602e+08 1.6166271642036256e+08 1.6170825660028464e+08 1.6176086778686509e+08 1.6182312248777616e+08 1.6189685385360488e+08 1.6198392180266541e+08 1.6208669796939364e+08 1.6220798601598322e+08 1.6235100016188088e+08 1.6251966266468471e+08 1.6271871939381436e+08 1.6295378113445941e+08 1.6323141617119607e+08 1.6355932520159641e+08 1.6394657319712678e+08 1.6440484099458075e+08 1.6495394664624417e+08 1.6562049012556973e+08 1.6642003272428161e+08 1.6736497895343646e+08 1.6847635031961077e+08 1.6978143929766816e+08 1.7131216483284739e+08 1.7310524326790521e+08 1.7520267828449360e+08 1.7765227933103800e+08 1.8050813816584221e+08 1.8383101327655807e+08 1.8768850526700535e+08 1.9215495543748701e+08 1.9731086915787095e+08 2.0324169770761597e+08 2.1003563014526561e+08 2.1839738921155992e+08 2.2795722378845835e+08 2.3879751094916350e+08 2.5096818035894272e+08 2.6446883847457033e+08 2.7922804363678724e+08 2.9508218327815509e+08 3.1175843034587991e+08 3.2886866014731491e+08 3.4591808908219141e+08 3.6233183235718679e+08 3.7754383464552104e+08 3.9107207791619182e+08 4.0251777205620307e+08 4.1167130977901745e+08 4.1852822986708760e+08 4.2324571738661551e+08 4.2610618704007286e+08 4.2744407367581630e+08 4.2762803719342428e+08 4.2696698509363192e+08 4.2575333158769536e+08 4.2418709459955317e+08 4.2246194843924642e+08 4.2068474008048940e+08 4.1893312222768027e+08 4.1727948901021248e+08 4.1573842270654774e+08 4.1431169988461584e+08 4.1301598009830016e+08 4.1182168381866795e+08 4.1074260386313879e+08 4.0976416981219661e+08 4.0889151244543058e+08 4.0810468574456465e+08 4.0737271650298840e+08 4.0669782807023513e+08 4.0606653321516067e+08 4.0544190962500155e+08 4.0499053476564151e+08 4.0453172014856505e+08 4.0406225354610860e+08 4.0357004018515247e+08 4.0306212248246360e+08 4.0252173033030975e+08 4.0197841054800093e+08 4.0136717704751432e+08 4.0071306795321536e+08 4.0000405712087256e+08 3.9923075392885917e+08 3.9838174668052167e+08 3.9744418021054924e+08 3.9639732021526659e+08 3.9525467109393197e+08 3.9395691554158872e+08 3.9250197340840101e+08 3.9086874181505305e+08 3.8903450994783968e+08 3.8697585779437387e+08 3.8466929324720365e+08 3.8208665345769721e+08 3.7924241413975394e+08 3.7607135850217193e+08 3.7259096165117043e+08 3.6880927251274770e+08 3.6475595029783797e+08 3.6048145691436213e+08 3.5608184001064205e+08 3.5169801910691357e+08 3.4757417093721581e+08 3.4399049425950772e+08 3.4141402582620209e+08 3.4048494496658528e+08 3.4214037143693632e+08 3.4773740486198425e+08 3.5933297344675905e+08 3.8018185233789212e+08 4.1578741482044744e+08 2.8633684663469690e+08 +4.4025675225075620e+00 1.6299768302082965e+08 1.6298888007751822e+08 1.6297376188583681e+08 1.6295648722705930e+08 1.6294520225221345e+08 1.6295051954296446e+08 1.6297633638542238e+08 1.6301523208383098e+08 1.6306090177667236e+08 1.6311362815048856e+08 1.6317599642487502e+08 1.6324984207993466e+08 1.6333702350242096e+08 1.6343991253023687e+08 1.6356131408378181e+08 1.6370444315658367e+08 1.6387322311113840e+08 1.6407240174997234e+08 1.6430759221350032e+08 1.6458536526588833e+08 1.6491342425787652e+08 1.6530083662353048e+08 1.6575928303503495e+08 1.6630858041065148e+08 1.6697534623757750e+08 1.6777515472199270e+08 1.6872040261709931e+08 1.6983210693763313e+08 1.7113755854426089e+08 1.7266867285181946e+08 1.7446215878963020e+08 1.7656000680499369e+08 1.7901000478502458e+08 1.8186621125541854e+08 1.8518933542489779e+08 1.8904690662108171e+08 1.9351316541121173e+08 1.9866847739491227e+08 2.0459810347829533e+08 2.1138997765669107e+08 2.1974818642184225e+08 2.2930255291465959e+08 2.4013476302117169e+08 2.5229389263630080e+08 2.6577853770217967e+08 2.8051612670092785e+08 2.9634188151658106e+08 3.1298191446502548e+08 3.3004734181478918e+08 3.4704314416388804e+08 3.6339494136126703e+08 3.7853799921759671e+08 3.9199238105231911e+08 4.0336195044428730e+08 4.1243988270576984e+08 4.1922426840059710e+08 4.2387427454932541e+08 4.2667358693197078e+08 4.2795721444715530e+08 4.2809380700485182e+08 4.2739189566149467e+08 4.2614328669585234e+08 4.2454733434586579e+08 4.2279703129907256e+08 4.2099862258018392e+08 4.1922923061359143e+08 4.1756077915460247e+08 4.1600748198692268e+08 4.1457078142508972e+08 4.1326704831965643e+08 4.1206647186937648e+08 4.1098258838343704e+08 4.1000061126241547e+08 4.0912544281762761e+08 4.0833689879766643e+08 4.0760380302463233e+08 4.0692816589908618e+08 4.0629633704117942e+08 4.0567129270640069e+08 4.0521964696565604e+08 4.0476056762948436e+08 4.0429083471139359e+08 4.0379834383767635e+08 4.0329014028433061e+08 4.0274945095221174e+08 4.0220580503178495e+08 4.0159422744923866e+08 4.0093975001029474e+08 4.0023033976530516e+08 3.9945660077900195e+08 3.9860711489842570e+08 3.9766901968418914e+08 3.9662157588860857e+08 3.9547826186710334e+08 3.9417977381967598e+08 3.9272401025518930e+08 3.9108985635317194e+08 3.8925458845148253e+08 3.8719477328542197e+08 3.8488690545747888e+08 3.8230281272492301e+08 3.7945694658459198e+08 3.7628409865597546e+08 3.7280173449352604e+08 3.6901790757770777e+08 3.6496229389289683e+08 3.6068538389223260e+08 3.5628327955879873e+08 3.5189698614640105e+08 3.4777078876280522e+08 3.4418508629433316e+08 3.4160716181971288e+08 3.4067756266408551e+08 3.4233392712185854e+08 3.4793412533082998e+08 3.5953625213185990e+08 3.8039693287731701e+08 4.1602261296630442e+08 2.8586688304796141e+08 +4.4075358452818199e+00 1.6434941966255021e+08 1.6434046258414349e+08 1.6432509162499434e+08 1.6430749022826231e+08 1.6429589149284169e+08 1.6430103615024063e+08 1.6432687736524209e+08 1.6436589792967921e+08 1.6441169635732371e+08 1.6446453703093547e+08 1.6452701784607637e+08 1.6460097658300722e+08 1.6468827006626269e+08 1.6479127030066532e+08 1.6491278342123881e+08 1.6505602514568385e+08 1.6522491988087586e+08 1.6542421728670779e+08 1.6565953277056164e+08 1.6593743947424766e+08 1.6626564328032818e+08 1.6665321394356325e+08 1.6711183179058981e+08 1.6766131230017632e+08 1.6832829004933313e+08 1.6912835190802833e+08 1.7007388668133590e+08 1.7118590656554890e+08 1.7249170038049349e+08 1.7402317951014143e+08 1.7581704489627793e+08 1.7791527309444314e+08 1.8036562968326268e+08 1.8322213911262131e+08 1.8654546036804259e+08 1.9040305045605573e+08 1.9486904807148954e+08 2.0002367782733944e+08 2.0595200899282262e+08 2.1274171924380103e+08 2.2109624811100745e+08 2.3064499915763229e+08 2.4146896645523271e+08 2.5361637237951708e+08 2.6708480391503984e+08 2.8180056302714229e+08 2.9759771162791002e+08 3.1420130946702689e+08 3.3122172417838180e+08 3.4816371256541932e+08 3.6445341127247888e+08 3.7952741745341396e+08 3.9290788199851608e+08 4.0420132326955682e+08 4.1320369484037346e+08 4.1991563020655710e+08 4.2449826716214538e+08 4.2723655105164540e+08 4.2846605474160433e+08 4.2855541026083267e+08 4.2781276691887826e+08 4.2652931978243250e+08 4.2490375791754079e+08 4.2312839183372188e+08 4.2130886491243917e+08 4.1952176995366096e+08 4.1783856109460723e+08 4.1627308455650735e+08 4.1482644940172422e+08 4.1351473859429449e+08 4.1230791099955547e+08 4.1121924720128793e+08 4.1023374524860215e+08 4.0935607974098665e+08 4.0856582914044189e+08 4.0783161519110256e+08 4.0715523606809163e+08 4.0652287889222038e+08 4.0589741906391847e+08 4.0544550612123752e+08 4.0498616576957715e+08 4.0451617030942982e+08 4.0402340587323046e+08 4.0351492054373461e+08 4.0297393834372073e+08 4.0242997071322614e+08 4.0181805395266879e+08 4.0116321341649199e+08 4.0045340944842368e+08 3.9967924087361592e+08 3.9882928317460668e+08 3.9789066674129361e+08 3.9684264752497256e+08 3.9569867784502494e+08 3.9439946772071236e+08 3.9294289440579414e+08 3.9130783130813652e+08 3.8947154209933817e+08 3.8741058045130932e+08 3.8510142786425936e+08 3.8251590290546691e+08 3.7966843284927058e+08 3.7649381809503233e+08 3.7300951457100838e+08 3.6922358024827456e+08 3.6516570764655608e+08 3.6088641535719514e+08 3.5648185892847836e+08 3.5209312819441462e+08 3.4796461477665365e+08 3.4437691529723984e+08 3.4179755547167069e+08 3.4086744545724601e+08 3.4252473460077965e+08 3.4812805264175934e+08 3.5973664452402449e+08 3.8060895963274616e+08 4.1625447141666913e+08 2.8539668885071629e+08 +4.4125041680560777e+00 1.6569928843212745e+08 1.6569017729259714e+08 1.6567455296115804e+08 1.6565662672696856e+08 1.6564471430116433e+08 1.6564968625354433e+08 1.6567555140951854e+08 1.6571469614830104e+08 1.6576062253132334e+08 1.6581357661733729e+08 1.6587616893993205e+08 1.6595023955184475e+08 1.6603764368435243e+08 1.6614075347178274e+08 1.6626237622108239e+08 1.6640572832438248e+08 1.6657473517130911e+08 1.6677414820491919e+08 1.6700958501076874e+08 1.6728762100639921e+08 1.6761596448510611e+08 1.6800368738067371e+08 1.6846246949374890e+08 1.6901212455836350e+08 1.6967930381809235e+08 1.7047960655619010e+08 1.7142541343965143e+08 1.7253773152105767e+08 1.7384384715237749e+08 1.7537566718899599e+08 1.7716988401057288e+08 1.7926845962579766e+08 1.8171913655989760e+08 1.8457590434571385e+08 1.8789937080461201e+08 1.9175691958151314e+08 1.9622258636376035e+08 2.0137645356732020e+08 2.0730339756879425e+08 2.1409083847782394e+08 2.2244155818978339e+08 2.3198454685301551e+08 2.4280010611855385e+08 2.5493560511725050e+08 2.6838762345728976e+08 2.8308133995439553e+08 2.9884966214275008e+08 3.1541660528051871e+08 3.3239179876158941e+08 3.4927978757022518e+08 3.6550723724050069e+08 3.8051208639481658e+08 3.9381857962468010e+08 4.0503589107711130e+08 4.1396274818490034e+08 4.2060231848809940e+08 4.2511769936753947e+08 4.2779508424253827e+08 4.2897059990345871e+08 4.2901285264706635e+08 4.2822960477379173e+08 4.2691143689539599e+08 4.2525637144547981e+08 4.2345603621884304e+08 4.2161547327288043e+08 4.1981074644855076e+08 4.1811284102741373e+08 4.1653523660541677e+08 4.1507870999346012e+08 4.1375905708856034e+08 4.1254600736276710e+08 4.1145258645747447e+08 4.1046357789978027e+08 4.0958342933312404e+08 4.0879148287994665e+08 4.0805615909837085e+08 4.0737904466383123e+08 4.0674616484519786e+08 4.0612029476533842e+08 4.0566811829373401e+08 4.0520852062291092e+08 4.0473826638737190e+08 4.0424523233145338e+08 4.0373646929374129e+08 4.0319519852819061e+08 4.0265091360807276e+08 4.0203866256406105e+08 4.0138346416967261e+08 4.0067327215673035e+08 3.9989868018763179e+08 3.9904825747132337e+08 3.9810912732990229e+08 3.9706054105752420e+08 3.9591592494272965e+08 3.9461600314063418e+08 3.9315863173401779e+08 3.9152267252915162e+08 3.8968537671392763e+08 3.8762328508323425e+08 3.8531286622426283e+08 3.8272592971745908e+08 3.7987687860929310e+08 3.7670052244746768e+08 3.7321430746069080e+08 3.6942629604485708e+08 3.6536619701716942e+08 3.6108455670432514e+08 3.5667758344876122e+08 3.5228645051428908e+08 3.4815565418045646e+08 3.4456598641677999e+08 3.4198521189125556e+08 3.4105459844243032e+08 3.4271279899397850e+08 3.4831919199850339e+08 3.5993415600127745e+08 3.8081793829446161e+08 4.1648299639396203e+08 2.8492626972552580e+08 +4.4174724908303356e+00 1.6704726967903587e+08 1.6703800736799711e+08 1.6702212942346743e+08 1.6700387845504507e+08 1.6699165285461804e+08 1.6699645213331553e+08 1.6702234079854828e+08 1.6706160902012247e+08 1.6710766257670686e+08 1.6716072918798015e+08 1.6722343198486617e+08 1.6729761326543495e+08 1.6738512663647822e+08 1.6748834432422158e+08 1.6761007476565272e+08 1.6775353497716713e+08 1.6792265126985195e+08 1.6812217679523930e+08 1.6835773122878125e+08 1.6863589216236413e+08 1.6896437017862427e+08 1.6935223924859628e+08 1.6981117846773767e+08 1.7036099951951677e+08 1.7102836989220574e+08 1.7182890103148875e+08 1.7277496527745777e+08 1.7388756421348286e+08 1.7519398129894519e+08 1.7672611836192971e+08 1.7852065864842540e+08 1.8061954896658382e+08 1.8307050804430893e+08 1.8592748965950409e+08 1.8925104953146592e+08 1.9310849690586889e+08 1.9757376333384162e+08 2.0272678782914475e+08 2.0865225262797067e+08 2.1543731903626806e+08 2.2378410067730543e+08 2.3332118044819260e+08 2.4412816699285322e+08 2.5625157649523982e+08 2.6968698279311717e+08 2.8435844494383019e+08 3.0009772171653771e+08 3.1662779195915753e+08 3.3355755721334994e+08 3.5039136258524138e+08 3.6655641453497273e+08 3.8149200319835401e+08 3.9472447290817112e+08 4.0586565451197374e+08 4.1471704483181071e+08 4.2128433652934986e+08 4.2573257538302237e+08 4.2834919141647553e+08 4.2947085533796781e+08 4.2946613990518677e+08 4.2864241518734807e+08 4.2728964413134062e+08 4.2560518110571998e+08 4.2377997067222840e+08 4.2191845389837790e+08 4.2009616634001809e+08 4.1838362519064212e+08 4.1679394436078888e+08 4.1532756941580814e+08 4.1400001000536090e+08 4.1278076714898658e+08 4.1168261232953423e+08 4.1069011538002640e+08 4.0980749774719656e+08 4.0901386615731579e+08 4.0827744087801987e+08 4.0759959780780429e+08 4.0696620101219261e+08 4.0633992591318047e+08 4.0588748957895648e+08 4.0542763827868980e+08 4.0495712902696538e+08 4.0446382928749919e+08 4.0395479260047150e+08 4.0341323756463861e+08 4.0286863976708573e+08 4.0225605932482094e+08 4.0160050830083191e+08 4.0088993391114533e+08 4.0011492472992361e+08 3.9926404378470916e+08 3.9832440743228537e+08 3.9727526245209736e+08 3.9613000910948664e+08 3.9482938600891554e+08 3.9337122814824015e+08 3.9173438590024728e+08 3.8989609815067858e+08 3.8783289300599182e+08 3.8552122632740331e+08 3.8293289891196895e+08 3.8008228957327062e+08 3.7690421737402105e+08 3.7341611876991779e+08 3.6962606051770204e+08 3.6556376749532348e+08 3.6127981335993057e+08 3.5687045847945201e+08 3.5247695839949405e+08 3.4834391220573759e+08 3.4475230483039033e+08 3.4217013621763778e+08 3.4123902674417782e+08 3.4289812545194960e+08 3.4850754863541681e+08 3.6012879197198868e+08 3.8102387458426386e+08 4.1670819415695947e+08 2.8445563133210158e+08 +4.4224408136045934e+00 1.6839334941145208e+08 1.6838393293093064e+08 1.6836780252802581e+08 1.6834922744402981e+08 1.6833668940851843e+08 1.6834131614919797e+08 1.6836722790096563e+08 1.6840661891570309e+08 1.6845279886104825e+08 1.6850597711082006e+08 1.6856878934889320e+08 1.6864308009191418e+08 1.6873070129208139e+08 1.6883402522859064e+08 1.6895586142726645e+08 1.6909942747840279e+08 1.6926865055381009e+08 1.6946828543851382e+08 1.6970395380990148e+08 1.6998223533236709e+08 1.7031084275735012e+08 1.7069885195196536e+08 1.7115794112606803e+08 1.7170791960893074e+08 1.7237547071098095e+08 1.7317621779033715e+08 1.7412252467190412e+08 1.7523538714466685e+08 1.7654208535135651e+08 1.7807451559628078e+08 1.7986935142032027e+08 1.8196852377837253e+08 1.8441972686137265e+08 1.8727687785500112e+08 1.9060047944235942e+08 1.9445776543653485e+08 1.9892256212780753e+08 2.0407466392921788e+08 2.0999855769583872e+08 2.1678114470279941e+08 2.2512385970156953e+08 2.3465488450133106e+08 2.4545313417426494e+08 2.5756427227623358e+08 2.7098286850710106e+08 2.8563186557880551e+08 3.0134187912807375e+08 3.1783485968284357e+08 3.3471899130725831e+08 3.5149843114003855e+08 3.6760093854380566e+08 3.8246716513408732e+08 3.9562556093248034e+08 4.0669061431708032e+08 4.1546658696367645e+08 4.2196168769706267e+08 4.2634289949928546e+08 4.2889887755199915e+08 4.2996682651181269e+08 4.2991527783299744e+08 4.2905120417187947e+08 4.2766394763616604e+08 4.2595019312054902e+08 4.2410020145653147e+08 4.2221781306793821e+08 4.2037803590899825e+08 4.1865091985935467e+08 4.1704921408842760e+08 4.1557303392206150e+08 4.1423760358437765e+08 4.1301219658410048e+08 4.1190933102958417e+08 4.1091336388929659e+08 4.1002829117051649e+08 4.0923298514965749e+08 4.0849546669508487e+08 4.0781690165575647e+08 4.0718299353964114e+08 4.0655631864458048e+08 4.0610362610697109e+08 4.0564352485967380e+08 4.0517276434444469e+08 4.0467920284932965e+08 4.0416989656472832e+08 4.0362806154640853e+08 4.0308315527449000e+08 4.0247025031052542e+08 4.0181435187556136e+08 4.0110340076591790e+08 4.0032798054391235e+08 3.9947664814510334e+08 3.9853651306460828e+08 3.9748681770919257e+08 3.9634093632861137e+08 3.9503962228891826e+08 3.9358068958926374e+08 3.9194297733766049e+08 3.9010371229847568e+08 3.8803941007688558e+08 3.8572651399628061e+08 3.8313681627284610e+08 3.8028467148142439e+08 3.7710490856715953e+08 3.7361495413881999e+08 3.6982287924992943e+08 3.6575842460197228e+08 3.6147219077967668e+08 3.5706048940998137e+08 3.5266465717398864e+08 3.4852939411410284e+08 3.4493587574498886e+08 3.4235233361901122e+08 3.4142073551657593e+08 3.4308071915266359e+08 3.4869312781601238e+08 3.6032055787557429e+08 3.8122677425746465e+08 4.1693007099902284e+08 2.8398477930731577e+08 +4.4274091363788513e+00 1.6973750751743567e+08 1.6972793805887970e+08 1.6971155684406480e+08 1.6969265674054551e+08 1.6967980643612903e+08 1.6968426073933297e+08 1.6971019517398986e+08 1.6974970829519883e+08 1.6979601384124359e+08 1.6984930284387481e+08 1.6991222349002665e+08 1.6998662248964077e+08 1.7007435011066628e+08 1.7017777864542452e+08 1.7029971866818658e+08 1.7044338829274711e+08 1.7061271549037790e+08 1.7081245660560843e+08 1.7104823522935256e+08 1.7132663299717462e+08 1.7165536470866865e+08 1.7204350798559427e+08 1.7250273997347409e+08 1.7305286734281230e+08 1.7372058880489939e+08 1.7452153938091618e+08 1.7546807419170523e+08 1.7658118290878585e+08 1.7788814193383759e+08 1.7942084155209959e+08 1.8121594503005189e+08 1.8331536681834689e+08 1.8576677583128452e+08 1.8862405183011863e+08 1.9194764352907452e+08 1.9580470827974269e+08 2.0026896599208617e+08 2.0542006528577176e+08 2.1134229640254965e+08 2.1812229936702669e+08 2.2646081949882451e+08 2.3598564368252963e+08 2.4677499287174812e+08 2.5887367834030151e+08 2.7227526730307019e+08 2.8690158956534541e+08 3.0258212328116673e+08 3.1903779875514585e+08 3.3587609294155002e+08 3.5260098688661891e+08 3.6864080477425247e+08 3.8343756958511084e+08 3.9652184288759869e+08 4.0751077133472931e+08 4.1621137685324788e+08 4.2263437543905175e+08 4.2694867608100188e+08 4.2944414769448060e+08 4.3045851895198405e+08 4.3036027228368741e+08 4.2945597779185009e+08 4.2803435360303777e+08 4.2629141375696254e+08 4.2441673487652802e+08 4.2251355710227358e+08 4.2065636147658855e+08 4.1891473134788156e+08 4.1730105209099835e+08 4.1581510980126470e+08 4.1447184410113180e+08 4.1324030192933100e+08 4.1213274880512804e+08 4.1113332966197610e+08 4.1024581582500732e+08 4.0944884606731719e+08 4.0871024275071293e+08 4.0803096239781123e+08 4.0739654860841471e+08 4.0676947913065952e+08 4.0631653404183620e+08 4.0585618652372932e+08 4.0538517849042952e+08 4.0489135916013718e+08 4.0438178732185447e+08 4.0383967659967780e+08 4.0329446624944168e+08 4.0268124163034987e+08 4.0202500099280661e+08 4.0131367881055343e+08 4.0053785370590603e+08 3.9968607661609578e+08 3.9874545027581573e+08 3.9769521286232120e+08 3.9654871261571562e+08 3.9524671797721076e+08 3.9378702203154975e+08 3.9214845279043162e+08 3.9030822507867765e+08 3.8824284218613517e+08 3.8592873508597648e+08 3.8333768761532915e+08 3.8048403010658830e+08 3.7730260175121552e+08 3.7381081923861349e+08 3.7001675785527158e+08 3.6595017388940042e+08 3.6166169445131427e+08 3.5724768166076279e+08 3.5284955219066972e+08 3.4871210519535851e+08 3.4511670439673722e+08 3.4253180929154348e+08 3.4159972994216639e+08 3.4326058530433726e+08 3.4887593483314794e+08 3.6050945918123788e+08 3.8142664310048556e+08 4.1714863324914849e+08 2.8351371926521420e+08 +4.4323774591531091e+00 1.7107972784026617e+08 1.7107000580712673e+08 1.7105337193746030e+08 1.7103414893213397e+08 1.7102098656488127e+08 1.7102526842589089e+08 1.7105122516265133e+08 1.7109085970793304e+08 1.7113729006414586e+08 1.7119068893455639e+08 1.7125371695622119e+08 1.7132822300689730e+08 1.7141605564114293e+08 1.7151958712524337e+08 1.7164162904056820e+08 1.7178539997480243e+08 1.7195482863711280e+08 1.7215467285751098e+08 1.7239055805270994e+08 1.7266906772769666e+08 1.7299791861011356e+08 1.7338618993513224e+08 1.7384555760496461e+08 1.7439582532812968e+08 1.7506370679588649e+08 1.7586484844270903e+08 1.7681159649774256e+08 1.7792493419185328e+08 1.7923213376319614e+08 1.8076507898329964e+08 1.8256042227537224e+08 1.8466006093746555e+08 1.8711163787015897e+08 1.8996899457895210e+08 1.9329252488078535e+08 1.9714930864098820e+08 2.0161295827395013e+08 2.0676297542003658e+08 2.1268345248159325e+08 2.1946076702483431e+08 2.2779496441412020e+08 2.3731344277250570e+08 2.4809372841037068e+08 2.6017978068410352e+08 2.7356416600474185e+08 2.8816760473087537e+08 3.0381844320252568e+08 3.2023659960479057e+08 3.3702885413829118e+08 3.5369902359901118e+08 3.6967600885160369e+08 3.8440321404704380e+08 3.9741331806945974e+08 4.0832612650332350e+08 4.1695141686172986e+08 4.2330240328363562e+08 4.2754990956580913e+08 4.2998500695452601e+08 4.3094593824482775e+08 4.3080112916575009e+08 4.2985674216195029e+08 4.2840086827261901e+08 4.2662884932690173e+08 4.2472957728009301e+08 4.2280569236104965e+08 4.2093114940295827e+08 4.1917506600885826e+08 4.1754946470857692e+08 4.1605380337970763e+08 4.1470273786693376e+08 4.1346508948123562e+08 4.1235287193832809e+08 4.1135001896653801e+08 4.1046007796770006e+08 4.0966145515621293e+08 4.0892177527911127e+08 4.0824178625829643e+08 4.0760687243308073e+08 4.0697941357635486e+08 4.0652621958226919e+08 4.0606562946138650e+08 4.0559437764783937e+08 4.0510030439611548e+08 4.0459047104065722e+08 4.0404808888493574e+08 4.0350257884301740e+08 4.0288903942664641e+08 4.0223246178555298e+08 4.0152077416560739e+08 4.0074455032609683e+08 3.9989233529483402e+08 3.9895122514928550e+08 3.9790045397799641e+08 3.9675334402025938e+08 3.9545067910281354e+08 3.9399023148180890e+08 3.9235081824101341e+08 3.9050964244524825e+08 3.8844319525630444e+08 3.8612789548368561e+08 3.8353551878735018e+08 3.8068037125234520e+08 3.7749730268133295e+08 3.7400371977158475e+08 3.7020770197785944e+08 3.6613902093965214e+08 3.6184832989133483e+08 3.5743204068134910e+08 3.5303164883194107e+08 3.4889205076924366e+08 3.4529479604967499e+08 3.4270856846066147e+08 3.4177601523162991e+08 3.4343772914313012e+08 3.4905597500880945e+08 3.6069550138811153e+08 3.8162348693186766e+08 4.1736388727018112e+08 2.8304245679703051e+08 +4.4373457819273670e+00 1.7241999103091320e+08 1.7241011794680098e+08 1.7239323300424302e+08 1.7237368654479241e+08 1.7236021246786267e+08 1.7236432182581976e+08 1.7239030050010043e+08 1.7243005579263356e+08 1.7247661016606405e+08 1.7253011802056223e+08 1.7259325238526699e+08 1.7266786428204799e+08 1.7275580052329844e+08 1.7285943330836651e+08 1.7298157518693459e+08 1.7312544516911665e+08 1.7329497264202389e+08 1.7349491684586686e+08 1.7373090493602404e+08 1.7400952218552497e+08 1.7433848713016999e+08 1.7472688047706664e+08 1.7518637670703578e+08 1.7573677626359019e+08 1.7640480739730877e+08 1.7720612770690361e+08 1.7815307434274381e+08 1.7926662377271393e+08 1.8057404364937443e+08 1.8210721073675531e+08 1.8390276604847395e+08 1.8600258908213726e+08 1.8845429598959640e+08 1.9131168919225183e+08 1.9463510668492484e+08 1.9849154982450491e+08 2.0295452242104167e+08 2.0810337795454329e+08 2.1402200977107716e+08 2.2079653177815682e+08 2.2912627890119424e+08 2.3863826666368261e+08 2.4940932622749022e+08 2.6148256542121416e+08 2.7484955155487567e+08 2.8942989902498645e+08 3.0505082804246706e+08 3.2143125278451300e+08 3.3817726704288262e+08 3.5479253517312211e+08 3.7070654651890898e+08 3.8536409612781143e+08 3.9829998587825519e+08 4.0913668085921770e+08 4.1768670943961620e+08 4.2396577484015757e+08 4.2814660446371382e+08 4.3052146050940365e+08 4.3142909003793365e+08 4.3123785444183987e+08 4.3025350344791716e+08 4.2876349793381333e+08 4.2696250618761027e+08 4.2503873505734658e+08 4.2309422524642020e+08 4.2120240608756340e+08 4.1943193023148912e+08 4.1779445831874794e+08 4.1628912101947743e+08 4.1493029122844595e+08 4.1368656557086480e+08 4.1256970674619418e+08 4.1156343810678273e+08 4.1067108388926220e+08 4.0987081869515747e+08 4.0913007054817027e+08 4.0844937949503177e+08 4.0781397126128978e+08 4.0718612822082746e+08 4.0673268895960760e+08 4.0627185989848578e+08 4.0580036803488266e+08 4.0530604476684403e+08 4.0479595392279792e+08 4.0425330459597480e+08 4.0370749924134976e+08 4.0309364987559891e+08 4.0243674041959351e+08 4.0172469298650408e+08 4.0094807654741967e+08 4.0009543031111753e+08 3.9915384380013072e+08 3.9810254715569866e+08 3.9695483662418771e+08 3.9565151172774529e+08 3.9419032398007101e+08 3.9255007970332062e+08 3.9070797038449818e+08 3.8864047524226427e+08 3.8632400110831118e+08 3.8373031566818726e+08 3.8087370075463617e+08 3.7768901714442360e+08 3.7419366147084552e+08 3.7039571729289073e+08 3.6632497136560279e+08 3.6203210264678645e+08 3.5761357195054597e+08 3.5321095250993532e+08 3.4906923618372297e+08 3.4547015599735463e+08 3.4288261637941206e+08 3.4194959662430078e+08 3.4361215593372530e+08 3.4923325369378573e+08 3.6087869002586734e+08 3.8181731160135508e+08 4.1757583946058881e+08 2.8257099747120011e+08 +4.4423141047016248e+00 1.7375828300883296e+08 1.7374825691878033e+08 1.7373112103183264e+08 1.7371125235574865e+08 1.7369746689478970e+08 1.7370140366057351e+08 1.7372740390780476e+08 1.7376727927711022e+08 1.7381395687369338e+08 1.7386757282956609e+08 1.7393081250524190e+08 1.7400552904354456e+08 1.7409356748634398e+08 1.7419729992597303e+08 1.7431953983992380e+08 1.7446350661119136e+08 1.7463313024306652e+08 1.7483317131272507e+08 1.7506925862600806e+08 1.7534797912319267e+08 1.7567705302791172e+08 1.7606556237887281e+08 1.7652518005719674e+08 1.7707570293889597e+08 1.7774387341395593e+08 1.7854535999692833e+08 1.7949249057217747e+08 1.8060623452283761e+08 1.8191385449507120e+08 1.8344721975352591e+08 1.8524295933542272e+08 1.8734293429315904e+08 1.8979473329682505e+08 1.9265211885782900e+08 1.9597537222634551e+08 1.9983141523400012e+08 2.0429364198123291e+08 2.0944125661438790e+08 2.1535795221293047e+08 2.2212957783526024e+08 2.3045474752205408e+08 2.3996010035911897e+08 2.5072177187496379e+08 2.6278201878170618e+08 2.7613141101619464e+08 2.9068846051873434e+08 3.0627926707501268e+08 3.2262174897149742e+08 3.3932132392531836e+08 3.5588151562514579e+08 3.7173241363616627e+08 3.8632021354747796e+08 3.9918184581961590e+08 4.0994243553527755e+08 4.1841725712465155e+08 4.2462449379690617e+08 4.2873876535661274e+08 4.3105351360048312e+08 4.3190798003675258e+08 4.3167045412989843e+08 4.3064626786564547e+08 4.2912224892142701e+08 4.2729239073957974e+08 4.2534421464047331e+08 4.2337916220006204e+08 4.2147013796909595e+08 4.1968533044445342e+08 4.1803603933469325e+08 4.1652106911800504e+08 4.1515451056735307e+08 4.1390473656477225e+08 4.1278325958003527e+08 4.1177359341930217e+08 4.1087883991386491e+08 4.1007694299629992e+08 4.0933513485901493e+08 4.0865374839866090e+08 4.0801785137523901e+08 4.0738962933524394e+08 4.0693594843902749e+08 4.0647488409137636e+08 4.0600315590149635e+08 4.0550858651603734e+08 4.0499824220360130e+08 4.0445532995939875e+08 4.0390923366259724e+08 4.0329507918629342e+08 4.0263784309351569e+08 4.0192544146164811e+08 4.0114843854565960e+08 4.0029536782798511e+08 3.9935331237662995e+08 3.9830149852731895e+08 3.9715319654157293e+08 3.9584922194611955e+08 3.9438730559773028e+08 3.9274624322444671e+08 3.9090321491437161e+08 3.8883468812925929e+08 3.8651705791085845e+08 3.8392208416812277e+08 3.8106402447983533e+08 3.7787775095840973e+08 3.7438065010006118e+08 3.7058080950532430e+08 3.6650803080967146e+08 3.6221301829380864e+08 3.5779228097676796e+08 3.5338746866493165e+08 3.4924366681633282e+08 3.4564278956101197e+08 3.4305395832987404e+08 3.4212047938676065e+08 3.4378387096870929e+08 3.4940777626731235e+08 3.6105903065286392e+08 3.8200812299033189e+08 4.1778449625194603e+08 2.8209934683337557e+08 +4.4472824274758826e+00 1.7509458212859240e+08 1.7508440536529025e+08 1.7506702013998008e+08 1.7504682919019324e+08 1.7503273261126637e+08 1.7503649676012635e+08 1.7506251819656754e+08 1.7510251297856426e+08 1.7514931300426522e+08 1.7520303617922240e+08 1.7526638013479197e+08 1.7534120011022413e+08 1.7542933935036233e+08 1.7553316979921719e+08 1.7565550582269105e+08 1.7579956712664384e+08 1.7596928426915440e+08 1.7616941909055957e+08 1.7640560196013305e+08 1.7668442138375238e+08 1.7701359915338805e+08 1.7740221849905890e+08 1.7786195052394852e+08 1.7841258823494077e+08 1.7908088774236262e+08 1.7988252822753358e+08 1.8082982812276250e+08 1.8194374940593326e+08 1.8325154929618621e+08 1.8478508906742722e+08 1.8658098521690410e+08 1.8868107970710215e+08 1.9113293299518248e+08 1.9399026685996577e+08 1.9731330488802302e+08 2.0116888837231967e+08 2.0563030060363200e+08 2.1077659522709498e+08 2.1669126385303816e+08 2.2345988951034400e+08 2.3178035494739923e+08 2.4127892897365800e+08 2.5203105101851824e+08 2.6407812711205816e+08 2.7740973156970060e+08 2.9194327740440494e+08 3.0750374969664687e+08 3.2380807896610779e+08 3.4046101717711574e+08 3.5696595909343189e+08 3.7275360618059760e+08 3.8727156413617396e+08 4.0005889750289208e+08 4.1074339176037246e+08 4.1914306254309195e+08 4.2527856392187977e+08 4.2932639689810830e+08 4.3158117153445119e+08 4.3238261400619829e+08 4.3209893430080032e+08 4.3103504168077594e+08 4.2947712761725867e+08 4.2761850942767102e+08 4.2564602250253487e+08 4.2366050970273709e+08 4.2173435152318174e+08 4.1993527311183804e+08 4.1827421420606250e+08 4.1674965410848260e+08 4.1537540230027348e+08 4.1411960886292160e+08 4.1299353682467872e+08 4.1198049127522933e+08 4.1108335239912248e+08 4.1027983440618485e+08 4.0953697454711974e+08 4.0885489929479682e+08 4.0821851908913904e+08 4.0758992322501314e+08 4.0713600431809354e+08 4.0667470833132046e+08 4.0620274753187382e+08 4.0570793591860253e+08 4.0519734215053856e+08 4.0465417123485339e+08 4.0410778835742658e+08 4.0349333360003167e+08 4.0283577603922099e+08 4.0212302581065124e+08 4.0134564252939630e+08 4.0049215404014522e+08 3.9954963705935371e+08 3.9849731425735980e+08 3.9734842991893125e+08 3.9604381588452357e+08 3.9458118243835890e+08 3.9293931488225472e+08 3.9109538208464688e+08 3.8902583993576032e+08 3.8670707187226731e+08 3.8411083022920972e+08 3.8125134832557470e+08 3.7806350997064650e+08 3.7456469145332360e+08 3.7076298435063058e+08 3.6668820494390279e+08 3.6239108243830657e+08 3.5796817329766876e+08 3.5356120276569867e+08 3.4941534807097089e+08 3.4581270208956414e+08 3.4322259962091678e+08 3.4228866881431919e+08 3.4395287956859493e+08 3.4957954813662744e+08 3.6123652885678405e+08 3.8219592701100135e+08 4.1798986410986954e+08 2.8162751040644115e+08 +4.4522507502501405e+00 1.7642887529364055e+08 1.7641854689330542e+08 1.7640091135864031e+08 1.7638039918143991e+08 1.7636599246583706e+08 1.7636958405789486e+08 1.7639562626842049e+08 1.7643573980413535e+08 1.7648266146521759e+08 1.7653649097756687e+08 1.7659993818242237e+08 1.7667486039150485e+08 1.7676309902558333e+08 1.7686702583962220e+08 1.7698945604920375e+08 1.7713360963151523e+08 1.7730341763963616e+08 1.7750364310271165e+08 1.7773991786629373e+08 1.7801883190099356e+08 1.7834810844783223e+08 1.7873683178728670e+08 1.7919667106729808e+08 1.7974741512460905e+08 1.8041583337062678e+08 1.8121761540575564e+08 1.8216507002472696e+08 1.8327915147877163e+08 1.8458711114210853e+08 1.8612080180718818e+08 1.8791682686793095e+08 1.9001700855471408e+08 1.9246887838373587e+08 1.9532611657988095e+08 1.9864888815079820e+08 2.0250395284119323e+08 2.0696448203766108e+08 2.1210937772220322e+08 2.1802192884179452e+08 2.2478745122381324e+08 2.3310308595643011e+08 2.4259473773252559e+08 2.5333714943731073e+08 2.6537087687580904e+08 2.7868450051622158e+08 2.9319433799540633e+08 3.0872426542689836e+08 3.2499023369178289e+08 3.4159633931377637e+08 3.5804585983544910e+08 3.7377012024604678e+08 3.8821814583541876e+08 4.0093114064105886e+08 4.1153955085861576e+08 4.1986412840774971e+08 4.2592798906182861e+08 4.2990950381296331e+08 4.3210443968232954e+08 4.3285299776926845e+08 4.3252330107919407e+08 4.3141983120854145e+08 4.2982814044945204e+08 4.2794086873981917e+08 4.2594416515911549e+08 4.2393827427630359e+08 4.2199505326454365e+08 4.2018176473597091e+08 4.1850898941830659e+08 4.1697488245957381e+08 4.1559297287883842e+08 4.1433118889962649e+08 4.1320054489884531e+08 4.1218413807862788e+08 4.1128462773635018e+08 4.1047949930323488e+08 4.0973559597975773e+08 4.0905283853957081e+08 4.0841598074992609e+08 4.0778701622751826e+08 4.0733286292722505e+08 4.0687133894196939e+08 4.0639914924144691e+08 4.0590409928340507e+08 4.0539326006466132e+08 4.0484983471392232e+08 4.0430316960962099e+08 4.0368841939049476e+08 4.0303054551959854e+08 4.0231745228587836e+08 4.0153969473885465e+08 4.0068579517494172e+08 3.9974282406071848e+08 3.9869000054149336e+08 3.9754054293472421e+08 3.9623529970079368e+08 3.9477196063762927e+08 3.9312930078650510e+08 3.9128447797630161e+08 3.8921393671065474e+08 3.8689404900617373e+08 3.8429655982368845e+08 3.8143567821954483e+08 3.7824630006026614e+08 3.7474579135462976e+08 3.7094224759333098e+08 3.6686549946996361e+08 3.6256630071491176e+08 3.5814125447899735e+08 3.5373216031019980e+08 3.4958428538141519e+08 3.4597989896032882e+08 3.4338854558897567e+08 3.4245417022892344e+08 3.4411918708148384e+08 3.4974857473771024e+08 3.6141119025468814e+08 3.8238072960545814e+08 4.1819194953403646e+08 2.8115549369052941e+08 +4.4572190730243983e+00 1.7776114488722962e+08 1.7775066521680143e+08 1.7773277917905852e+08 1.7771194569491979e+08 1.7769722950999710e+08 1.7770064858173412e+08 1.7772671111906987e+08 1.7776694275180483e+08 1.7781398525439265e+08 1.7786792022295192e+08 1.7793146964729390e+08 1.7800649288713890e+08 1.7809482951258135e+08 1.7819885104982382e+08 1.7832137352369702e+08 1.7846561713290864e+08 1.7863551336472821e+08 1.7883582636329773e+08 1.7907218936375150e+08 1.7935119370005628e+08 1.7968056394340217e+08 1.8006938528420407e+08 1.8052932473867977e+08 1.8108016667202294e+08 1.8174869337903741e+08 1.8255060463105702e+08 1.8349819939992866e+08 1.8461242389123455e+08 1.8592052321514082e+08 1.8745434119417611e+08 1.8925046755739361e+08 1.9135070416240594e+08 1.9380255285761479e+08 1.9665965149619290e+08 1.9998210559366170e+08 2.0383659234202892e+08 2.0829617013362122e+08 2.1343958813197970e+08 2.1934993143334034e+08 2.2611224750199491e+08 2.3442292543675637e+08 2.4390751197243202e+08 2.5464005302453038e+08 2.6666025465203941e+08 2.7995570527434313e+08 2.9444163072647178e+08 3.0994080390753531e+08 3.2616820419550759e+08 3.4272728297210634e+08 3.5912121222964740e+08 3.7478195204150331e+08 3.8915995669780594e+08 4.0179857505051285e+08 4.1233091424932742e+08 4.2058045751815486e+08 4.2657277314152879e+08 4.3048809089699793e+08 4.3262332347814870e+08 4.3331913720759404e+08 4.3294356064304626e+08 4.3180064281299055e+08 4.3017529389118528e+08 4.2825947520722622e+08 4.2623864916613299e+08 4.2421246248023307e+08 4.2225224974569249e+08 4.2042481185454285e+08 4.1874037149287474e+08 4.1719676067388248e+08 4.1580722878774780e+08 4.1453948314311016e+08 4.1340429025448471e+08 4.1238454026672310e+08 4.1148267234930062e+08 4.1067594409937590e+08 4.0993100555684435e+08 4.0924757252274871e+08 4.0861024273834729e+08 4.0798091471258938e+08 4.0752653062941027e+08 4.0706478227837920e+08 4.0659236737877953e+08 4.0609708295060754e+08 4.0558600227748525e+08 4.0504232672089362e+08 4.0449538373457944e+08 4.0388034286349338e+08 4.0322215783054155e+08 4.0250872717246866e+08 4.0173060144629705e+08 4.0087629749118370e+08 3.9993287962479156e+08 3.9887956360798520e+08 3.9772954179847038e+08 3.9642367958422273e+08 3.9495964636158562e+08 3.9331620707794654e+08 3.9147050870158350e+08 3.8939898453317738e+08 3.8707799535569811e+08 3.8447927895467657e+08 3.8161702012033737e+08 3.7842612713532799e+08 3.7492395565765268e+08 3.7111860502845114e+08 3.6703992011878031e+08 3.6273867878744978e+08 3.5831153011501414e+08 3.5390034682377648e+08 3.4975048420788389e+08 3.4614438557780188e+08 3.4355180159825182e+08 3.4261698898011905e+08 3.4428279888274038e+08 3.4991486153342378e+08 3.6158302049215865e+08 3.8256253674730521e+08 4.1839075905659240e+08 2.8068330216303670e+08 +4.4621873957986562e+00 1.7909137306581938e+08 1.7908074162656122e+08 1.7906260691223848e+08 1.7904145221734515e+08 1.7902642689846450e+08 1.7902967344839951e+08 1.7905575583923575e+08 1.7909610491002557e+08 1.7914326746098971e+08 1.7919730700415397e+08 1.7926095761916760e+08 1.7933608068750066e+08 1.7942451390299267e+08 1.7952862852250728e+08 1.7965124134124452e+08 1.7979557272847143e+08 1.7996555454539186e+08 1.8016595197755155e+08 1.8040239956248307e+08 1.8068148989699912e+08 1.8101094876341003e+08 1.8139986212243390e+08 1.8185989468087667e+08 1.8241082603321499e+08 1.8307945093946418e+08 1.8388147909484857e+08 1.8482919946308830e+08 1.8594354988569766e+08 1.8725176879133448e+08 1.8878569054444656e+08 1.9058189064942080e+08 1.9268214995191589e+08 1.9513393990789911e+08 1.9799085518358648e+08 2.0131294089373118e+08 2.0516679067540753e+08 2.0962534884248304e+08 2.1476721059043103e+08 2.2067525598623404e+08 2.2743426297764939e+08 2.3573985838448325e+08 2.4521723714051589e+08 2.5593974778651434e+08 2.6794624713605946e+08 2.8122333338249755e+08 2.9568514415267694e+08 3.1115335490276653e+08 3.2734198164661968e+08 3.4385384091097748e+08 3.6019201077295721e+08 3.7578909789165479e+08 3.9009699488357133e+08 4.0266120064966643e+08 4.1311748344670260e+08 4.2129205275956911e+08 4.2721292016341758e+08 4.3106216301466489e+08 4.3313782842040789e+08 4.3378103825896680e+08 4.3335971922274995e+08 4.3217748290679026e+08 4.3051859446148562e+08 4.2857433540438026e+08 4.2652948111960870e+08 4.2448308091325426e+08 4.2250594755622745e+08 4.2066442104207635e+08 4.1896836698599857e+08 4.1741529528926605e+08 4.1601817654614359e+08 4.1474449809482944e+08 4.1360477937682587e+08 4.1258170430884373e+08 4.1167749269376177e+08 4.1086917523814964e+08 4.1012320971106422e+08 4.0943910766595793e+08 4.0880131146506518e+08 4.0817162508161521e+08 4.0771701381944877e+08 4.0725504472842509e+08 4.0678240832373607e+08 4.0628689329237145e+08 4.0577557515427268e+08 4.0523165361112231e+08 4.0468443707948613e+08 4.0406911035680187e+08 4.0341061929933882e+08 4.0269685678585333e+08 4.0191836895560384e+08 4.0106366727961177e+08 4.0011981002764660e+08 3.9906600971577507e+08 3.9791543275146741e+08 3.9660896175576776e+08 3.9514424580821687e+08 3.9350003992893505e+08 3.9165348040337008e+08 3.8958098951447958e+08 3.8725891699513930e+08 3.8465899365545708e+08 3.8179538001607978e+08 3.7860299713443005e+08 3.7509919024595958e+08 3.7129206247898918e+08 3.6721147264938736e+08 3.6290822234768450e+08 3.5847900582856500e+08 3.5406576785981524e+08 3.4991395003913087e+08 3.4630616737308526e+08 3.4371237304008061e+08 3.4277713044403619e+08 3.4444372037473315e+08 3.5007841401498973e+08 3.6175202524307907e+08 3.8274135443971241e+08 4.1858629924331421e+08 2.8021094127864033e+08 +4.4671557185729140e+00 1.8041954122989091e+08 1.8040876152952790e+08 1.8039037725693357e+08 1.8036890231784800e+08 1.8035356771866444e+08 1.8035664185938770e+08 1.8038274361530367e+08 1.8042320945817599e+08 1.8047049126465568e+08 1.8052463450052378e+08 1.8058838527849710e+08 1.8066360697390833e+08 1.8075213537855977e+08 1.8085634144185010e+08 1.8097904268793252e+08 1.8112345960692915e+08 1.8129352437360606e+08 1.8149400314131117e+08 1.8173053166368571e+08 1.8200970369928354e+08 1.8233924612279388e+08 1.8272824552533612e+08 1.8318836412864745e+08 1.8373937645598865e+08 1.8440808931598392e+08 1.8521022208071366e+08 1.8615805352147987e+08 1.8727251279754770e+08 1.8858083123984638e+08 1.9011483326792035e+08 1.9191107960222167e+08 1.9401132943993747e+08 1.9646302312203369e+08 1.9931971131487456e+08 2.0264137782595298e+08 2.0649453174131629e+08 2.1095200221595165e+08 2.1609222933464864e+08 2.2199788696291271e+08 2.2875348238929942e+08 2.3705386990382791e+08 2.4652389879506558e+08 2.5723621984322423e+08 2.6922884113981712e+08 2.8248737249632788e+08 2.9692486694963664e+08 3.1236190829819834e+08 3.2851155733702093e+08 3.4497600601106548e+08 3.6125825008225197e+08 3.7679155423697799e+08 3.9102925866427583e+08 4.0351901745879114e+08 4.1389926005817109e+08 4.2199891710281134e+08 4.2784843420812339e+08 4.3163172510141653e+08 4.3364796006962514e+08 4.3423870691928750e+08 4.3377178310073143e+08 4.3255035795117319e+08 4.3085804872495002e+08 4.2888545594713807e+08 4.2681666765666175e+08 4.2475013621297550e+08 4.2275615332307678e+08 4.2090059890908438e+08 4.1919298248973173e+08 4.1763049287732470e+08 4.1622582270746040e+08 4.1494624028940916e+08 4.1380201878346485e+08 4.1277563670801443e+08 4.1186909525859374e+08 4.1105919919616038e+08 4.1031221490690756e+08 4.0962745042348152e+08 4.0898919337451035e+08 4.0835915376930213e+08 4.0790431892408532e+08 4.0744213271177709e+08 4.0696927848822969e+08 4.0647353671335214e+08 4.0596198509057909e+08 4.0541782177309096e+08 4.0487033602319264e+08 4.0425472824001306e+08 4.0359593628489214e+08 4.0288184747429043e+08 4.0210300360240340e+08 4.0124791086209863e+08 4.0030362157584113e+08 3.9924934515535891e+08 3.9809822206626850e+08 3.9679115246696359e+08 3.9532576520615101e+08 3.9368080554172701e+08 3.9183339925502431e+08 3.8975995779482591e+08 3.8743682002844292e+08 3.8483570998873276e+08 3.8197076392497569e+08 3.7877691602502692e+08 3.7527150103186613e+08 3.7146262579768050e+08 3.6738016285049397e+08 3.6307493711583352e+08 3.5864368727013755e+08 3.5422842899930757e+08 3.5007468839061975e+08 3.4646524980562311e+08 3.4387026533180082e+08 3.4293460002385396e+08 3.4460195698683900e+08 3.5023923770062947e+08 3.6191821020903111e+08 3.8291718871525562e+08 4.1877857669161123e+08 2.7973841646931493e+08 +4.4721240413471719e+00 1.8174563648621097e+08 1.8173470471941337e+08 1.8171607163635057e+08 1.8169427896026871e+08 1.8167863516478589e+08 1.8168153709354275e+08 1.8170765772894928e+08 1.8174823966710937e+08 1.8179563993582463e+08 1.8184988598219457e+08 1.8191373589624771e+08 1.8198905501834288e+08 1.8207767721251884e+08 1.8218197308215028e+08 1.8230476084048676e+08 1.8244926104762816e+08 1.8261940613226625e+08 1.8281996314184317e+08 1.8305656895972714e+08 1.8333581840543360e+08 1.8366543932781148e+08 1.8405451880823758e+08 1.8451471640791106e+08 1.8506580128004348e+08 1.8573459186487252e+08 1.8653681696485245e+08 1.8748474497524244e+08 1.8859929605556774e+08 1.8990769402341819e+08 1.9144175286826766e+08 1.9323801796908164e+08 1.9533822623886472e+08 1.9778978618321642e+08 2.0064620365897247e+08 2.0396740026390359e+08 2.0781979953906089e+08 2.1227611440643138e+08 2.1741462870337722e+08 2.2331780893012714e+08 2.3006989058190751e+08 2.3836494520766830e+08 2.4782748260531825e+08 2.5852945542772889e+08 2.7050802359031737e+08 2.8374781039058846e+08 2.9816078791343725e+08 3.1356645410160536e+08 3.2967692268050396e+08 3.4609377127398521e+08 3.6231992489279002e+08 3.7778931763148701e+08 3.9195674641835266e+08 4.0437202560086596e+08 4.1467624578547210e+08 4.2270105360458708e+08 4.2847931943205941e+08 4.3219678216149575e+08 4.3415372404886293e+08 4.3469214924144721e+08 4.3417975861138207e+08 4.3291927445511818e+08 4.3119366328955197e+08 4.2919284349386156e+08 4.2710021545374364e+08 4.2501363505505317e+08 4.2300287370900583e+08 4.2113335210125983e+08 4.1941422462957197e+08 4.1784236004410422e+08 4.1643017385687679e+08 4.1514471629393405e+08 4.1399601502441329e+08 4.1296634399858648e+08 4.1205748656451255e+08 4.1124602248069304e+08 4.1049802764042032e+08 4.0981260728009403e+08 4.0917389494173127e+08 4.0854350724077362e+08 4.0808845240114152e+08 4.0762605267854357e+08 4.0715298431556559e+08 4.0665701964916027e+08 4.0614523851427418e+08 4.0560083762445796e+08 4.0505308697581148e+08 4.0443720291275394e+08 4.0377811517681170e+08 4.0306370561583930e+08 4.0228451175249356e+08 4.0142903459092593e+08 4.0048432060736710e+08 3.9942957624752349e+08 3.9827791604490197e+08 3.9697025799950004e+08 3.9550421081425393e+08 3.9385851014913452e+08 3.9201027146042514e+08 3.8993589554527801e+08 3.8761171058975947e+08 3.8500943404785174e+08 3.8214317789460546e+08 3.7894788980412054e+08 3.7544089395711964e+08 3.7163030086578947e+08 3.6754599653823322e+08 3.6323882884049577e+08 3.5880558011794549e+08 3.5438833585041702e+08 3.5023270480445188e+08 3.4662163836035872e+08 3.4402548391777778e+08 3.4308940314895475e+08 3.4475751417520064e+08 3.5039733813505101e+08 3.6208158112070704e+08 3.8309004563668066e+08 4.1896759803227115e+08 2.7926573314435142e+08 +4.4770923641214297e+00 1.8306963998462573e+08 1.8305855674279219e+08 1.8303967726688805e+08 1.8301756462805232e+08 1.8300161267342174e+08 1.8300434249855706e+08 1.8303048155518281e+08 1.8307117889843288e+08 1.8311869683616924e+08 1.8317304480977714e+08 1.8323699283444926e+08 1.8331240818371487e+08 1.8340112276877558e+08 1.8350550680936310e+08 1.8362837916727108e+08 1.8377296042141083e+08 1.8394318319564673e+08 1.8414381535759923e+08 1.8438049483424926e+08 1.8465981740520316e+08 1.8498951177578416e+08 1.8537866537824887e+08 1.8583893493690953e+08 1.8639008393689981e+08 1.8705894203452551e+08 1.8786124721612608e+08 1.8880925731722608e+08 1.8992388318150505e+08 1.9123234069874394e+08 1.9276643294350100e+08 1.9456268939762840e+08 1.9666282405607009e+08 1.9911421287131932e+08 2.0197031608280343e+08 2.0529099217896640e+08 2.0914257816768754e+08 2.1359766966742396e+08 2.1873439313831663e+08 2.2463500655866006e+08 2.3138347250590277e+08 2.3967306961728209e+08 2.4912797435101810e+08 2.5981944088659754e+08 2.7178378153057200e+08 2.8500463495779544e+08 2.9939289596001524e+08 3.1476698244206417e+08 3.3083806921242964e+08 3.4720712982235032e+08 3.6337703005813003e+08 3.7878238474336565e+08 3.9287945663431811e+08 4.0522022529878730e+08 4.1544844242225873e+08 4.2339846540519494e+08 4.2910558006845170e+08 4.3275733926762050e+08 4.3465512604326403e+08 4.3514137133285797e+08 4.3458365214142632e+08 4.3328423897510135e+08 4.3152544480865908e+08 4.2949650474532437e+08 4.2738013122683942e+08 4.2527358415312397e+08 4.2324611541452092e+08 4.2136268730021536e+08 4.1963210006609976e+08 4.1805090342861849e+08 4.1663123661430979e+08 4.1533993270840347e+08 4.1418677468217701e+08 4.1315383274653298e+08 4.1224267316306353e+08 4.1142965163181329e+08 4.1068065443904811e+08 4.0999458475258571e+08 4.0935542267331928e+08 4.0872469199194807e+08 4.0826942074024761e+08 4.0780681111149681e+08 4.0733353228036666e+08 4.0683734856530577e+08 4.0632534188286030e+08 4.0578070761548388e+08 4.0523269637829280e+08 4.0461654080669761e+08 4.0395716239614874e+08 4.0324243761992490e+08 4.0246289980268866e+08 4.0160704484963298e+08 4.0066191349048764e+08 3.9960670934392756e+08 3.9845452102139002e+08 3.9714628466621399e+08 3.9567958892115229e+08 3.9403316001448095e+08 3.9218410325269365e+08 3.9010880896615660e+08 3.8778359484254479e+08 3.8518017195483005e+08 3.8231262800129777e+08 3.7911592449761671e+08 3.7560737499146777e+08 3.7179509359242141e+08 3.6770897955740583e+08 3.6339990329789931e+08 3.5896469007750338e+08 3.5454549404867351e+08 3.5038800485016757e+08 3.4677533854917759e+08 3.4417803426876593e+08 3.4324154527473587e+08 3.4491039742143226e+08 3.5055272089032727e+08 3.6224214373569655e+08 3.8325993129563302e+08 4.1915336992730510e+08 2.7879289669037288e+08 +4.4820606868956876e+00 1.8439153262355211e+08 1.8438030310034981e+08 1.8436117649193940e+08 1.8433874378939429e+08 1.8432248374718630e+08 1.8432504149329245e+08 1.8435119855956164e+08 1.8439201060420138e+08 1.8443964541801366e+08 1.8449409443487322e+08 1.8455813954593477e+08 1.8463364992401093e+08 1.8472245550192776e+08 1.8482692608031234e+08 1.8494988112696505e+08 1.8509454119024286e+08 1.8526483902887499e+08 1.8546554325822195e+08 1.8570229276219979e+08 1.8598168418033120e+08 1.8631144695623514e+08 1.8670066873370075e+08 1.8716100322535199e+08 1.8771220795028228e+08 1.8838112336553600e+08 1.8918349639543962e+08 1.9013157413304660e+08 1.9124625779045573e+08 1.9255475491605967e+08 1.9408885718598023e+08 1.9588507763066894e+08 1.9798510669492781e+08 2.0043628706227955e+08 2.0329203254975554e+08 2.0661213764118081e+08 2.1046285182506165e+08 2.1491665235304037e+08 2.2005150718298528e+08 2.2594946462336326e+08 2.3269421321831656e+08 2.4097822856156918e+08 2.5042535992213130e+08 2.6110616267933005e+08 2.7305610211971933e+08 2.8625783420817846e+08 3.0062118012520868e+08 3.1596348356928200e+08 3.3199498859019208e+08 3.4831607489888775e+08 3.6442956054971510e+08 3.7977075235534108e+08 3.9379738790704578e+08 4.0606361687694800e+08 4.1621585185561830e+08 4.2409115572886753e+08 4.2972722042642474e+08 4.3331340156105983e+08 4.3515217179926050e+08 4.3558637935860831e+08 4.3498347012656772e+08 4.3364525811426318e+08 4.3185339997913384e+08 4.2979644644190282e+08 4.2765642173168790e+08 4.2552999025775319e+08 4.2348588517537612e+08 4.2158861122203797e+08 4.1984661549381816e+08 4.1825612970350260e+08 4.1682901763075155e+08 4.1553189616481453e+08 4.1437430437093818e+08 4.1333810955006635e+08 4.1242466163845795e+08 4.1161009321914613e+08 4.1086010186140049e+08 4.1017338938911223e+08 4.0953378310653633e+08 4.0890271455110282e+08 4.0844723046132874e+08 4.0798441452228969e+08 4.0751092888801563e+08 4.0701452996009803e+08 4.0650230168626189e+08 4.0595743822662330e+08 4.0540917070234221e+08 4.0479274838340098e+08 4.0413308439392674e+08 4.0341804992656285e+08 4.0263817418108410e+08 4.0178194805207330e+08 4.0083640662373424e+08 3.9978075082628185e+08 3.9862804335874623e+08 3.9731923880969644e+08 3.9585190584650385e+08 3.9420476143022138e+08 3.9235490089565080e+08 3.9027870428796780e+08 3.8795247897999936e+08 3.8534792986135632e+08 3.8247912035115188e+08 3.7928102616008323e+08 3.7577095013337475e+08 3.7195700991573364e+08 3.6786911778036070e+08 3.6355816629146487e+08 3.5912102288122708e+08 3.5469990925609422e+08 3.5054059412373358e+08 3.4692635591032851e+08 3.4432792188111115e+08 3.4339103188350785e+08 3.4506061223430800e+08 3.5070539156490457e+08 3.6239990383887184e+08 3.8342685181281227e+08 4.1933589907057250e+08 2.7831991247135520e+08 +4.4870290096699454e+00 1.8571130315688625e+08 1.8569992230118701e+08 1.8568054838164750e+08 1.8565779967918286e+08 1.8564123177029848e+08 1.8564361758683982e+08 1.8566979229604408e+08 1.8571071832715446e+08 1.8575846922481197e+08 1.8581301840042377e+08 1.8587715957474029e+08 1.8595276378421307e+08 1.8604165895796406e+08 1.8614621444261429e+08 1.8626925026982939e+08 1.8641398690704376e+08 1.8658435718881342e+08 1.8678513040471607e+08 1.8702194631012639e+08 1.8730140230376527e+08 1.8763122845005316e+08 1.8802051246520022e+08 1.8848090487539661e+08 1.8903215693595946e+08 1.8970111949107629e+08 1.9050354815658811e+08 1.9145167910153732e+08 1.9256640359083134e+08 1.9387492041899472e+08 1.9540900938215971e+08 1.9720516650555408e+08 1.9930505805415186e+08 2.0175599272824928e+08 2.0461133712114558e+08 2.0793082081838146e+08 2.1178060480920911e+08 2.1623304691849306e+08 2.2136595548382226e+08 2.2726116800317368e+08 2.3400209788182542e+08 2.4228040757804966e+08 2.5171962531997693e+08 2.6238960737866488e+08 2.7432497263169014e+08 2.8750739627044606e+08 3.0184562956425565e+08 3.1715594785461563e+08 3.3314767259146422e+08 3.4942059986648536e+08 3.6547751145667702e+08 3.8075441736244559e+08 3.9471053893918371e+08 4.0690220075830919e+08 4.1697847606367421e+08 4.2477912788434458e+08 4.3034424488921320e+08 4.3386497425031924e+08 4.3564486712490702e+08 4.3602717953808165e+08 4.3537921905528504e+08 4.3400233852313447e+08 4.3217753554100531e+08 4.3009267536692291e+08 4.2792909376230800e+08 4.2578286015677482e+08 4.2372218976315713e+08 4.2181113061699182e+08 4.2005777764090616e+08 4.1845804557416630e+08 4.1702352359087247e+08 4.1572061332775611e+08 4.1455861073647773e+08 4.1351918103859460e+08 4.1260345860458583e+08 4.1178735384480673e+08 4.1103637649727267e+08 4.1034902776765919e+08 4.0970898281008470e+08 4.0907758147590363e+08 4.0862188811528277e+08 4.0815886945508909e+08 4.0768518067355907e+08 4.0718857036045086e+08 4.0667612444351500e+08 4.0613103596833551e+08 4.0558251645029038e+08 4.0496583213494718e+08 4.0430588765197086e+08 4.0359054900566745e+08 4.0281034134503537e+08 4.0195375064221364e+08 4.0100780643626839e+08 3.9995170710644335e+08 3.9879848945013720e+08 3.9748912680221260e+08 3.9602116793899900e+08 3.9437332071880662e+08 3.9252267068155670e+08 3.9044558776953661e+08 3.8811836922414786e+08 3.8551271394750291e+08 3.8264266107798713e+08 3.7944320087469327e+08 3.7593162540988564e+08 3.7211605580085891e+08 3.6802641710703713e+08 3.6371362365188336e+08 3.5927458428946459e+08 3.5485158716159165e+08 3.5069047824697876e+08 3.4707469600773919e+08 3.4447515227745187e+08 3.4353786848209268e+08 3.4520816414763588e+08 3.5085535578347999e+08 3.6255486724235600e+08 3.8359081333806980e+08 4.1951519218770927e+08 2.7784678582864469e+08 +4.4919973324442033e+00 1.8702893352451378e+08 1.8701740201499602e+08 1.8699778233786255e+08 1.8697471548120582e+08 1.8695784026263732e+08 1.8696005439832875e+08 1.8698624640392494e+08 1.8702728569995004e+08 1.8707515189090636e+08 1.8712980034034353e+08 1.8719403655572057e+08 1.8726973340053117e+08 1.8735871677409580e+08 1.8746335553546828e+08 1.8758647023773208e+08 1.8773128121628577e+08 1.8790172132341269e+08 1.8810256044966507e+08 1.8833943913608134e+08 1.8861895544001949e+08 1.8894883992981926e+08 1.8933818025487927e+08 1.8979862358055285e+08 1.9034991460234255e+08 1.9101891413651341e+08 1.9182138624622530e+08 1.9276955599430066e+08 1.9388430438442731e+08 1.9519282104568121e+08 1.9672687341279459e+08 1.9852293995470351e+08 2.0062266212772340e+08 2.0307331393792269e+08 2.0592821395502555e+08 2.0924702597700712e+08 2.1309582151741865e+08 2.1754683791940990e+08 2.2267772278935817e+08 2.2857010168116206e+08 2.3530711176513988e+08 2.4357959231263092e+08 2.5301075665585840e+08 2.6366976167020139e+08 2.7559038045583117e+08 2.8875330938970965e+08 3.0306623355234474e+08 3.1834436578892213e+08 3.3429611311518621e+08 3.5052069820780623e+08 3.6652087798407060e+08 3.8173337677225298e+08 3.9561890853993046e+08 4.0773597746677381e+08 4.1773631711641484e+08 4.2546238526233202e+08 4.3095665791642171e+08 4.3441206261149532e+08 4.3613321788825852e+08 4.3646377814596927e+08 4.3577090546518433e+08 4.3435548689828545e+08 4.3249785827834570e+08 4.3038519834280336e+08 4.2819815415143669e+08 4.2603220067567539e+08 4.2395503598536068e+08 4.2203025227076650e+08 4.2026559326885843e+08 4.1865665777880126e+08 4.1721476120984203e+08 4.1590609089182222e+08 4.1473970045523977e+08 4.1369705387175876e+08 4.1277907070711941e+08 4.1196144014100379e+08 4.1120948496626043e+08 4.1052150649707943e+08 4.0988102838182110e+08 4.0924929935438418e+08 4.0879340028295082e+08 4.0833018248334134e+08 4.0785629420337975e+08 4.0735947632519144e+08 4.0684681670464587e+08 4.0630150738135326e+08 4.0575274015326190e+08 4.0513579858396083e+08 4.0447557868159413e+08 4.0375994135733390e+08 4.0297940778155220e+08 4.0212245909333146e+08 4.0117611938593012e+08 4.0011958462621105e+08 3.9896586571907395e+08 3.9765595504499996e+08 3.9618738157651675e+08 3.9453884423193222e+08 3.9268741893271208e+08 3.9060946569988704e+08 3.8828127182590532e+08 3.8567453042230445e+08 3.8280325634481591e+08 3.7960245475232881e+08 3.7608940687533808e+08 3.7227223724125767e+08 3.6818088346464097e+08 3.6386628123739719e+08 3.5942538008803010e+08 3.5500053348016912e+08 3.5083766286782563e+08 3.4722036443129629e+08 3.4461973100550061e+08 3.4368206060341603e+08 3.4535305872173578e+08 3.5100261919682258e+08 3.6270703978588170e+08 3.8375182204914844e+08 4.1969125603495753e+08 2.7737352208097762e+08 +4.4969656552184611e+00 1.8834440399287310e+08 1.8833272574317572e+08 1.8831286030654436e+08 1.8828947465935108e+08 1.8827229310164598e+08 1.8827433565837464e+08 1.8830054460665658e+08 1.8834169644614229e+08 1.8838967714149034e+08 1.8844442397938451e+08 1.8850875421510905e+08 1.8858454250022882e+08 1.8867361267889982e+08 1.8877833308957136e+08 1.8890152476346692e+08 1.8904640785370681e+08 1.8921691517224395e+08 1.8941781713709053e+08 1.8965475498971769e+08 1.8993432734564105e+08 1.9026426515991935e+08 1.9065365587684691e+08 1.9111414312702689e+08 1.9166546474940050e+08 1.9233449112000012e+08 1.9313699450373918e+08 1.9408518867616341e+08 1.9519994406651494e+08 1.9650844072750160e+08 1.9804243325310153e+08 1.9983838200544217e+08 2.0193790300589368e+08 2.0438823485658151e+08 2.0724264730719060e+08 2.1056073748216137e+08 2.1440848644648376e+08 2.1885801001266414e+08 2.2398679395044246e+08 2.2987625074443910e+08 2.3660924024265876e+08 2.4487576851884133e+08 2.5429874015152878e+08 2.6494661235180047e+08 2.7685231309687978e+08 2.8999556192934781e+08 3.0428298148309571e+08 3.1952872798434395e+08 3.3544030218062615e+08 3.5161636352433276e+08 3.6755965545507234e+08 3.8270762770517421e+08 3.9652249562504607e+08 4.0856494762452966e+08 4.1848937717521393e+08 4.2614093133605361e+08 4.3156446404123664e+08 4.3495467198740023e+08 4.3661723001780891e+08 4.3689618151119733e+08 4.3615853594310713e+08 4.3470470998248357e+08 4.3281437501734948e+08 4.3067402223245800e+08 4.2846360977045989e+08 4.2627801867520416e+08 4.2418443068378747e+08 4.2224598300242370e+08 4.2047006917244309e+08 4.1885197308801532e+08 4.1740273723672479e+08 4.1608833558431834e+08 4.1491758023556405e+08 4.1387173474058872e+08 4.1295150462153548e+08 4.1213235876970881e+08 4.1137943391862279e+08 4.1069083221657324e+08 4.1004992645107687e+08 4.0941787480543345e+08 4.0896177357545519e+08 4.0849836021039146e+08 4.0802427607339698e+08 4.0752725444150466e+08 4.0701438504904526e+08 4.0646885903734750e+08 4.0591984837448931e+08 4.0530265428181219e+08 4.0464216402410352e+08 4.0392623351105332e+08 4.0314538000808638e+08 4.0228807990907484e+08 4.0134135196080148e+08 4.0028438985592562e+08 3.9913017861669397e+08 3.9781972996971095e+08 3.9635055316667074e+08 3.9470133835005814e+08 3.9284915199904364e+08 3.9077034439556783e+08 3.8844119306455863e+08 3.8583338552267301e+08 3.8296091234230566e+08 3.7975879393215930e+08 3.7624430061211193e+08 3.7242556025695407e+08 3.6833252280740285e+08 3.6401614493171668e+08 3.5957341608994949e+08 3.5514675395271814e+08 3.5098215366049564e+08 3.4736336679627424e+08 3.4476166363869262e+08 3.4382361380607331e+08 3.4549530154123992e+08 3.5114718748123235e+08 3.6285642733462882e+08 3.8390988415165764e+08 4.1986409739996111e+08 2.7690012652449983e+08 +4.5019339779927190e+00 1.8965770374657476e+08 1.8964587588477799e+08 1.8962576436376905e+08 1.8960206181849760e+08 1.8958457430696172e+08 1.8958644518773973e+08 1.8961267071202397e+08 1.8965393437947854e+08 1.8970202879339680e+08 1.8975687313475150e+08 1.8982129637046057e+08 1.8989717490198237e+08 1.8998633049205059e+08 1.9009113092662281e+08 1.9021439767140365e+08 1.9035935064668041e+08 1.9052992256617746e+08 1.9073088430272251e+08 1.9096787771237963e+08 1.9124750186879826e+08 1.9157748799690303e+08 1.9196692319762385e+08 1.9242744739275008e+08 1.9297879127010158e+08 1.9364783435207075e+08 1.9445035686120772e+08 1.9539856110526130e+08 1.9651330662568933e+08 1.9782176349014899e+08 1.9935567297256234e+08 2.0115147678022194e+08 2.0325076487410733e+08 2.0570073974566627e+08 2.0855462153029701e+08 2.1187193979684773e+08 2.1571858419269484e+08 2.2016654795611086e+08 2.2529315392056528e+08 2.3117960038420546e+08 2.3790846879506090e+08 2.4616892205817175e+08 2.5558356213895315e+08 2.6622014633447805e+08 2.7811075817444730e+08 2.9123414236936760e+08 3.0549586286942524e+08 3.2070902517222464e+08 3.3658023192679429e+08 3.5270758953715199e+08 3.6859383930797583e+08 3.8367716739282250e+08 3.9742129921533561e+08 4.0938911195252341e+08 4.1923765849091846e+08 4.2681476966135937e+08 4.3216766787052464e+08 4.3549280778722966e+08 4.3709690950141513e+08 4.3732439601697981e+08 4.3654211712646002e+08 4.3505001456328112e+08 4.3312709262657821e+08 4.3095915394019574e+08 4.2872546752767956e+08 4.2652032105312324e+08 4.2441038073625475e+08 4.2245832966431946e+08 4.2067121217863709e+08 4.1904399830436027e+08 4.1758745845012933e+08 4.1626735416318679e+08 4.1509225681603271e+08 4.1404323036631912e+08 4.1312076705433160e+08 4.1230011642329276e+08 4.1154623003453320e+08 4.1085701159477311e+08 4.1021568367569554e+08 4.0958331447697097e+08 4.0912701463367492e+08 4.0866340926977646e+08 4.0818913290926248e+08 4.0769191132739490e+08 4.0717883608621699e+08 4.0663309753605002e+08 4.0608384770434374e+08 4.0546640581003267e+08 4.0480565025017095e+08 4.0408943202635890e+08 4.0330826457098258e+08 4.0245061962149471e+08 4.0150351067809081e+08 4.0044612929531115e+08 3.9929143462492281e+08 3.9798045803597832e+08 3.9651068914508396e+08 3.9486080948228395e+08 3.9300787626018745e+08 3.9092823020216304e+08 3.8859813924741703e+08 3.8598928551431239e+08 3.8311563528884369e+08 3.7991222458051282e+08 3.7639631272964609e+08 3.7257603089593500e+08 3.6848134111676645e+08 3.6416322064671922e+08 3.5971869813361061e+08 3.5529025434664083e+08 3.5112395632391196e+08 3.4750370874317437e+08 3.4490095577553511e+08 3.4396253367259443e+08 3.4563489821639144e+08 3.5128906633865392e+08 3.6300303578116059e+08 3.8406500588047498e+08 4.2003372310056865e+08 2.7642660443278742e+08 +4.5069023007669768e+00 1.9096881111275613e+08 1.9095683681696385e+08 1.9093647941974026e+08 1.9091246150726441e+08 1.9089466787496662e+08 1.9089636688309497e+08 1.9092260861447042e+08 1.9096398340490159e+08 1.9101219075436041e+08 1.9106713171416074e+08 1.9113164693074912e+08 1.9120761451601571e+08 1.9129685412461114e+08 1.9140173296004570e+08 1.9152507287723598e+08 1.9167009351432166e+08 1.9184072742798123e+08 1.9204174587394994e+08 1.9227879123715436e+08 1.9255846294926640e+08 1.9288849238902280e+08 1.9327796617526364e+08 1.9373852034840578e+08 1.9428987814954597e+08 1.9495892783582416e+08 1.9576145734374109e+08 1.9670965733242652e+08 1.9782437614469111e+08 1.9913277345333031e+08 2.0066657673563069e+08 2.0246220849635389e+08 2.0456123201382574e+08 2.0701081296319091e+08 2.0986412107505924e+08 2.1318061748257104e+08 2.1702609945202842e+08 2.2147243660788438e+08 2.2659678775538671e+08 2.3248013589533505e+08 2.3920478300846455e+08 2.4745903890034056e+08 2.5686520906067902e+08 2.6749035064182785e+08 2.7936570342296290e+08 2.9246903930708706e+08 3.0670486734294254e+08 3.2188524820404327e+08 3.3771589461260468e+08 3.5379437008518952e+08 3.6962342509673041e+08 3.8464199317867368e+08 3.9831531843811858e+08 4.1020847126919276e+08 4.1998116340440148e+08 4.2748390387520576e+08 4.3276627408489567e+08 4.3602647548606843e+08 4.3757226238694692e+08 4.3774842810016853e+08 4.3692165570151287e+08 4.3539140747442287e+08 4.3343601801763934e+08 4.3124060040763092e+08 4.2898373436959553e+08 4.2675911474303955e+08 4.2463289305382919e+08 4.2266729914326674e+08 4.2086902914798850e+08 4.1923274026189178e+08 4.1776893166092902e+08 4.1644315341676497e+08 4.1526373696497244e+08 4.1421154750014645e+08 4.1328686474116743e+08 4.1246471982487303e+08 4.1170988002415192e+08 4.1102005133086401e+08 4.1037830674421769e+08 4.0974562504720277e+08 4.0928913012776363e+08 4.0882533632391584e+08 4.0835087136551952e+08 4.0785345362938809e+08 4.0734017645413113e+08 4.0679422950704670e+08 4.0624474476373500e+08 4.0562705977966362e+08 4.0496604395965773e+08 4.0424954349094105e+08 4.0346806804568130e+08 4.0261008479211605e+08 4.0166260208354717e+08 4.0060480947348773e+08 3.9944964025336456e+08 3.9813814573211104e+08 3.9666779597618622e+08 3.9501726406669879e+08 3.9316359812335819e+08 3.9108312949298078e+08 3.8875211671064621e+08 3.8614223668957812e+08 3.8326743143083715e+08 3.8006275289187866e+08 3.7654544936451602e+08 3.7272365523231298e+08 3.6862734440006721e+08 3.6430751431867474e+08 3.5986123208430731e+08 3.5543104045415217e+08 3.5126307658301413e+08 3.4764139593753761e+08 3.4503761303852528e+08 3.4409882581103235e+08 3.4577185438240939e+08 3.5142826149686915e+08 3.6314687104326862e+08 3.8421719349664986e+08 4.2020013998454481e+08 2.7595296105686706e+08 +4.5118706235412347e+00 1.9227771517156088e+08 1.9226559259162199e+08 1.9224498935618865e+08 1.9222065702575514e+08 1.9220255774078763e+08 1.9220408472823986e+08 1.9223034229913053e+08 1.9227182751950687e+08 1.9232014702399328e+08 1.9237518371775201e+08 1.9243978989630866e+08 1.9251584534387022e+08 1.9260516757980520e+08 1.9271012319472694e+08 1.9283353438868877e+08 1.9297862046688348e+08 1.9314931377215335e+08 1.9335038586973578e+08 1.9358747958898073e+08 1.9386719461931774e+08 1.9419726237683931e+08 1.9458676886076665e+08 1.9504734605668357e+08 1.9559870946540633e+08 1.9626775566731945e+08 1.9707028006925794e+08 1.9801846150237846e+08 1.9913313679906327e+08 2.0044145483052564e+08 2.0197512880091804e+08 2.0377056146651408e+08 2.0586928880186948e+08 2.0831843896386534e+08 2.1117113048915389e+08 2.1448675519937277e+08 2.1833101701996687e+08 2.2277566092762050e+08 2.2789768061282432e+08 2.3377784267710099e+08 2.4049816857497224e+08 2.4874610512294722e+08 2.5814366746865717e+08 2.6875721240959799e+08 2.8061713669128883e+08 2.9370024145624983e+08 3.0790998465333682e+08 3.2305738805033076e+08 3.3884728261664385e+08 3.5487669912573612e+08 3.7064840849125171e+08 3.8560210251637983e+08 3.9920455252417237e+08 4.1102302649079669e+08 4.2071989434575260e+08 4.2814833769501334e+08 4.3336028743730539e+08 4.3655568062417454e+08 4.3804329478055555e+08 4.3816828425081635e+08 4.3729715840215325e+08 4.3572889559360397e+08 4.3374115814259374e+08 4.3151836861712962e+08 4.2923841727968520e+08 4.2699440671363181e+08 4.2485197458244050e+08 4.2287289835824585e+08 4.2106352697236729e+08 4.1941820582663113e+08 4.1794716371041608e+08 4.1661574016411227e+08 4.1543202748182583e+08 4.1437669292331576e+08 4.1344980444713318e+08 4.1262617572552323e+08 4.1187039062631798e+08 4.1117995815174294e+08 4.1053780237359947e+08 4.0990481322240877e+08 4.0944812675735283e+08 4.0898414806499547e+08 4.0850949812668294e+08 4.0801188802333951e+08 4.0749841282065070e+08 4.0695226160920656e+08 4.0640254620263612e+08 4.0578462282952845e+08 4.0512335178101075e+08 4.0440657452188301e+08 4.0362479703574044e+08 4.0276648201096928e+08 4.0181863275204825e+08 4.0076043694753295e+08 3.9960480204056460e+08 3.9829279957526839e+08 3.9682188015342194e+08 3.9517070856843090e+08 3.9331632402423590e+08 3.9123504866987759e+08 3.8890313181700987e+08 3.8629224536952358e+08 3.8341630704172117e+08 3.8021038508634239e+08 3.7669171668024999e+08 3.7286843936700571e+08 3.6877053869107813e+08 3.6444903191180259e+08 3.6000102383197302e+08 3.5556911809338689e+08 3.5139952018713945e+08 3.4777643407002568e+08 3.4517164107600039e+08 3.4423249585374612e+08 3.4590617569928765e+08 3.5156477870762593e+08 3.6328793906570524e+08 3.8436645328928417e+08 4.2036335493005008e+08 2.7547920162523621e+08 +4.5168389463154925e+00 1.9358439879650488e+08 1.9357212660208207e+08 1.9355127959077662e+08 1.9352663193666905e+08 1.9350822783240652e+08 1.9350958281686524e+08 1.9353585584377888e+08 1.9357745081197187e+08 1.9362588169326368e+08 1.9368101323678005e+08 1.9374570935892156e+08 1.9382185147841534e+08 1.9391125495180967e+08 1.9401628572695482e+08 1.9413976630498070e+08 1.9428491560665569e+08 1.9445566570450449e+08 1.9465678840110230e+08 1.9489392688457659e+08 1.9517368100231242e+08 1.9550378209250808e+08 1.9589331539632300e+08 1.9635390867255163e+08 1.9690526938776252e+08 1.9757430203538337e+08 1.9837680924888799e+08 1.9932495785273194e+08 2.0043957285898125e+08 2.0174779192952541e+08 2.0328131352137882e+08 2.0507652009836867e+08 2.0717491971161509e+08 2.0962360229890800e+08 2.1247563441755536e+08 2.1579033770579714e+08 2.1963332179154995e+08 2.2407620597553429e+08 2.2919581775315452e+08 2.3507270623264968e+08 2.4178861129240185e+08 2.5003010691101113e+08 2.5941892402555659e+08 2.7002071888596624e+08 2.8186504594330162e+08 2.9492773764722884e+08 3.0911120466861230e+08 3.2422543580114681e+08 3.3997438843632835e+08 3.5595457073384511e+08 3.7166878527632815e+08 3.8655749297022372e+08 4.0008900080973738e+08 4.1183277863055599e+08 4.2145385383462584e+08 4.2880807491959447e+08 4.3394971275356519e+08 4.3708042880666775e+08 4.3851001284622329e+08 4.3858397101164442e+08 4.3766863201127356e+08 4.3606248584357530e+08 4.3404251999525070e+08 4.3179246558920628e+08 4.2948952327830368e+08 4.2722620396889728e+08 4.2506763230185056e+08 4.2307513426094472e+08 4.2125471257593924e+08 4.1960040189543980e+08 4.1812216147058815e+08 4.1678512125426978e+08 4.1559713519514585e+08 4.1453867344646239e+08 4.1360959296763295e+08 4.1278449090641534e+08 4.1202776860920602e+08 4.1133673881482893e+08 4.1069417731043941e+08 4.1006088573875231e+08 4.0960401125045508e+08 4.0913985121320695e+08 4.0866501990547496e+08 4.0816722121438426e+08 4.0765355188220757e+08 4.0710720052945393e+08 4.0655725869873405e+08 4.0593910162794906e+08 4.0527758037163794e+08 4.0456053176479226e+08 4.0377845817457426e+08 4.0291981789690512e+08 4.0197160928629726e+08 4.0091301830314648e+08 3.9975692655280733e+08 3.9844442611043972e+08 3.9697294819725710e+08 3.9532114948197913e+08 3.9346606042589343e+08 3.9138399416154188e+08 3.8905119095731413e+08 3.8643931790198606e+08 3.8356226842194349e+08 3.8035512741271496e+08 3.7683512086680937e+08 3.7301038942718530e+08 3.6891093004965293e+08 3.6458777941364330e+08 3.6013807929254198e+08 3.5570449310680592e+08 3.5153329291095054e+08 3.4790882885524392e+08 3.4530304555990082e+08 3.4436354945735914e+08 3.4603786785057682e+08 3.5169862374826455e+08 3.6342624581777716e+08 3.8451279157456970e+08 4.2052337484478134e+08 2.7500533134388590e+08 +4.5218072690897504e+00 1.9488884303471178e+08 1.9487642260258844e+08 1.9485533232903990e+08 1.9483037009019151e+08 1.9481166219100171e+08 1.9481284535800695e+08 1.9483913342128649e+08 1.9488083746417105e+08 1.9492937894512355e+08 1.9498460445495307e+08 1.9504938950243187e+08 1.9512561710435280e+08 1.9521510042688325e+08 1.9532020474532315e+08 1.9544375281648740e+08 1.9558896312764567e+08 1.9575976742312303e+08 1.9596093767083484e+08 1.9619811733284062e+08 1.9647790631483772e+08 1.9680803576113847e+08 1.9719759001737088e+08 1.9765819244351524e+08 1.9820954217943618e+08 1.9887855122132486e+08 1.9968102918691921e+08 2.0062913071490449e+08 2.0174366868735763e+08 2.0305176915255824e+08 2.0458511534535089e+08 2.0638006889488107e+08 2.0847810931147116e+08 2.1092628761577880e+08 2.1377761760330933e+08 2.1709134985859773e+08 2.2093299876151559e+08 2.2537405691269031e+08 2.3049118453898671e+08 2.3636471216870749e+08 2.4307609706397817e+08 2.5131103055786365e+08 2.6069096550352800e+08 2.7128085743141448e+08 2.8310941925669277e+08 2.9615151682684916e+08 3.1030851737497079e+08 3.2538938266492218e+08 3.4109720468766016e+08 3.5702797910124069e+08 3.7268455134969550e+08 3.8750816221449757e+08 4.0096866273354155e+08 4.1263772879794842e+08 4.2218304447779930e+08 4.2946311942664933e+08 4.3453455493075591e+08 4.3760072570348567e+08 4.3897242280715013e+08 4.3899549497817028e+08 4.3803608335971290e+08 4.3639218519037950e+08 4.3434011061100787e+08 4.3206289838328731e+08 4.2973705942230731e+08 4.2745451354807466e+08 4.2527987322454411e+08 4.2327401383629167e+08 4.2144259291350526e+08 4.1977933539620733e+08 4.1829393184362298e+08 4.1695130356652629e+08 4.1575906696326089e+08 4.1469749590895283e+08 4.1376623712613815e+08 4.1293967217712295e+08 4.1218202077027434e+08 4.1149040010613394e+08 4.1084743832915819e+08 4.1021384936049575e+08 4.0975679036440748e+08 4.0929245251831800e+08 4.0881744344345289e+08 4.0831945993528539e+08 4.0780560036286288e+08 4.0725905298356736e+08 4.0670888895900476e+08 4.0609050287144452e+08 4.0542873641691995e+08 4.0471142189302093e+08 4.0392905812262303e+08 4.0307009909602290e+08 4.0212153831712812e+08 4.0106256015364546e+08 3.9990602038470888e+08 3.9859303191020483e+08 3.9712100665599138e+08 3.9546859332770681e+08 3.9361281381912130e+08 3.9152997242405993e+08 3.8919630054938394e+08 3.8658346066139811e+08 3.8370532189895624e+08 3.8049698614502609e+08 3.7697566814060533e+08 3.7314951156608045e+08 3.6904852456138939e+08 3.6472376283991945e+08 3.6027240440665692e+08 3.5583717136253065e+08 3.5166440055281156e+08 3.4803858603247494e+08 3.4543183218642300e+08 3.4449199230258280e+08 3.4616693654510760e+08 3.5182980242071599e+08 3.6356179729481691e+08 3.8465621469584125e+08 4.2068020666598701e+08 2.7453135539632183e+08 +4.5267755918640082e+00 1.9619103502686381e+08 1.9617846717317134e+08 1.9615713266736418e+08 1.9613185647792721e+08 1.9611284509463853e+08 1.9611385665471223e+08 1.9614015929892862e+08 1.9618197175079834e+08 1.9623062305395275e+08 1.9628594164762729e+08 1.9635081460174760e+08 1.9642712649818483e+08 1.9651668828254956e+08 1.9662186452936012e+08 1.9674547820618337e+08 1.9689074731558809e+08 1.9706160321775508e+08 1.9726281797365308e+08 1.9750003523461536e+08 1.9777985486448666e+08 1.9811000769916320e+08 1.9849957705086344e+08 1.9896018170968416e+08 1.9951151219595659e+08 2.0018048759983349e+08 2.0098292428037208e+08 2.0193096451319638e+08 2.0304540874178070e+08 2.0435337099522436e+08 2.0588651881518605e+08 2.0768119245403135e+08 2.0977884226625684e+08 2.1222647965910399e+08 2.1507706488604274e+08 2.1838977661316869e+08 2.2223003302388221e+08 2.2666919900093895e+08 2.3178376643545979e+08 2.3765384619607469e+08 2.4436061189883983e+08 2.5258886246376222e+08 2.6195977878475595e+08 2.7253761551771545e+08 2.8435024482388556e+08 2.9737156805791610e+08 3.1150191287554246e+08 3.2654921996881253e+08 3.4221572410508496e+08 3.5809691853801107e+08 3.7369570272472113e+08 3.8845410803230655e+08 4.0184353783868492e+08 4.1343787819841737e+08 4.2290746897157776e+08 4.3011347517464918e+08 4.3511481893789279e+08 4.3811657704826421e+08 4.3943053094284779e+08 4.3940286279703426e+08 4.3839951932490307e+08 4.3671800064455521e+08 4.3463393706549150e+08 4.3232967409648550e+08 4.2998103280472028e+08 4.2767934252447319e+08 4.2548870439784992e+08 4.2346954410037315e+08 4.2162717497233337e+08 4.1995501328716022e+08 4.1846248176201218e+08 4.1711429400927287e+08 4.1591782967331827e+08 4.1485316718004811e+08 4.1391974377548897e+08 4.1309172637633038e+08 4.1233315393500078e+08 4.1164094883834970e+08 4.1099759223330903e+08 4.1036371088027805e+08 4.0990647088354766e+08 4.0944195875763428e+08 4.0896677550980878e+08 4.0846861094751376e+08 4.0795456501587033e+08 4.0740782571538919e+08 4.0685744371813178e+08 4.0623883328423774e+08 4.0557682663054019e+08 4.0485925160822850e+08 4.0407660356819719e+08 4.0321733228296208e+08 4.0226842650372672e+08 4.0120906914074832e+08 4.0005209015805346e+08 3.9873862357510209e+08 3.9726606210610187e+08 3.9561304665495819e+08 3.9375659072151446e+08 3.9167298994133312e+08 3.8933846703824806e+08 3.8672468004944587e+08 3.8384547382641602e+08 3.8063596758377063e+08 3.7711336474383652e+08 3.7328581196291327e+08 3.6918332833762753e+08 3.6485698822917235e+08 3.6040400514053684e+08 3.5596715875275803e+08 3.5179284893673313e+08 3.4816571136497366e+08 3.4555800667558688e+08 3.4461783009359246e+08 3.4629338751490241e+08 3.5195832055064046e+08 3.6369459951681775e+08 3.8479672902199143e+08 4.2083385735940760e+08 2.7405727894358659e+08 +4.5317439146382661e+00 1.9749095707872003e+08 1.9747824271210921e+08 1.9745666573609665e+08 1.9743107582261083e+08 1.9741176096164489e+08 1.9741260107820761e+08 1.9743891783889082e+08 1.9748083803929120e+08 1.9752959838614619e+08 1.9758500918192375e+08 1.9764996902390459e+08 1.9772636402734753e+08 1.9781600288884965e+08 1.9792124945091975e+08 1.9804492684814745e+08 1.9819025254821441e+08 1.9836115747008151e+08 1.9856241369638321e+08 1.9879966498270944e+08 1.9907951105180466e+08 1.9940968231570542e+08 1.9979926091695336e+08 2.0025986090345648e+08 2.0081116388540098e+08 2.0148009563811377e+08 2.0228247902002871e+08 2.0323044376580089e+08 2.0434477757307214e+08 2.0565258204804292e+08 2.0718550856806800e+08 2.0897987546930462e+08 2.1107710333625099e+08 2.1352416326972595e+08 2.1637396120362368e+08 2.1968560302322343e+08 2.2352440977266210e+08 2.2796161760336939e+08 2.3307354900951004e+08 2.3894009412963960e+08 2.4564214191167271e+08 2.5386358913710517e+08 2.6322535086096612e+08 2.7379098072922748e+08 2.8558751095084381e+08 2.9858788051923478e+08 3.1269138139199227e+08 3.2770493915803701e+08 3.4332993954142380e+08 3.5916138346950805e+08 3.7470223552797949e+08 3.8939532831667662e+08 4.0271362576988196e+08 4.1423322813280922e+08 4.2362713009741050e+08 4.3075914619928759e+08 4.3569050981427926e+08 4.3862798863769960e+08 4.3988434359041858e+08 4.3980608116800928e+08 4.3875894683235961e+08 4.3703993925994188e+08 4.3492400647387338e+08 4.3259279986480689e+08 4.3022145055429345e+08 4.2790069800579327e+08 4.2569413290028906e+08 4.2366173210225958e+08 4.2180846577062517e+08 4.2012744255646992e+08 4.1862781818745738e+08 4.1727409952003491e+08 4.1607343024205828e+08 4.1500569415729326e+08 4.1407011979630673e+08 4.1324066037049615e+08 4.1248117495671993e+08 4.1178839185461152e+08 4.1114464585407281e+08 4.1051047711931551e+08 4.1005305962197214e+08 4.0958837673605305e+08 4.0911302290253049e+08 4.0861468104027498e+08 4.0810045262210596e+08 4.0755352549659163e+08 4.0700292973836428e+08 4.0638409961895126e+08 4.0572185775363195e+08 4.0500402763986152e+08 4.0422110122827768e+08 4.0336152416022927e+08 4.0241228053163731e+08 4.0135255193213457e+08 4.0019514252261525e+08 3.9888120773248827e+08 3.9740812115029323e+08 3.9575451603918213e+08 3.9389739767795992e+08 3.9181305322314119e+08 3.8947769689470005e+08 3.8686298249389017e+08 3.8398273058432645e+08 3.8077207805590022e+08 3.7724821694483358e+08 3.7341929682191026e+08 3.6931534751449156e+08 3.6498746164588594e+08 3.6053288748423976e+08 3.5609446119430703e+08 3.5191864390974879e+08 3.4829021063946944e+08 3.4568157477060711e+08 3.4474106855871272e+08 3.4641722651590252e+08 3.5208418398804539e+08 3.6382465852935272e+08 3.8493434094973254e+08 4.2098433391999847e+08 2.7358310712428218e+08 +4.5367122374125239e+00 1.9878859605924770e+08 1.9877573585094509e+08 1.9875391454735067e+08 1.9872801266632649e+08 1.9870839431796482e+08 1.9870906306647551e+08 1.9873539349883002e+08 1.9877742078968301e+08 1.9882628940005022e+08 1.9888179151700106e+08 1.9894683722786173e+08 1.9902331415198603e+08 1.9911302870689750e+08 1.9921834397340825e+08 1.9934208320865408e+08 1.9948746329495633e+08 1.9965841465389830e+08 1.9985970931763482e+08 2.0009699106197298e+08 2.0037685936911950e+08 2.0070704411249751e+08 2.0109662612760672e+08 2.0155721455031830e+08 2.0210848178879404e+08 2.0277735989630920e+08 2.0357967798924872e+08 2.0452755308445886e+08 2.0564175982615921e+08 2.0694938699599451e+08 2.0848206933615437e+08 2.1027610272961161e+08 2.1237287737833062e+08 2.1481932338559052e+08 2.1766829159142894e+08 2.2097881424116898e+08 2.2481611430110508e+08 2.2925129818342873e+08 2.3436051793077287e+08 2.4022344188756323e+08 2.4692067332221037e+08 2.5513519719350645e+08 2.6448766883341423e+08 2.7504094076226813e+08 2.8682120605749714e+08 2.9980044350543439e+08 3.1387691326213795e+08 3.2885653179620063e+08 3.4443984396631318e+08 3.6022136843748629e+08 3.7570414599806768e+08 3.9033182106817800e+08 4.0357892627579069e+08 4.1502377999696505e+08 4.2434203072480005e+08 4.3140013661602205e+08 4.3626163266988581e+08 4.3913496633226073e+08 4.4033386714344937e+08 4.4020515683988845e+08 4.3911437285294306e+08 4.3735800813232845e+08 4.3521032599258792e+08 4.3285228286004806e+08 4.3045831983528435e+08 4.2811858713414133e+08 4.2589616584402663e+08 4.2385058492125893e+08 4.2198647235585523e+08 4.2029663022348595e+08 4.1878994811126602e+08 4.1743072706525582e+08 4.1622587561361063e+08 4.1515508376576835e+08 4.1421737209825015e+08 4.1338648105423552e+08 4.1262609071784908e+08 4.1193273602473313e+08 4.1128860605107951e+08 4.1065415492574418e+08 4.1019656342040110e+08 4.0973171328778511e+08 4.0925619244631571e+08 4.0875767703106320e+08 4.0824326998978722e+08 4.0769615912656111e+08 4.0714535381019580e+08 4.0652630865510988e+08 4.0586383655477959e+08 4.0514575674475163e+08 4.0436255784609193e+08 4.0350268145640999e+08 4.0255310711511910e+08 4.0149301522438043e+08 4.0033518415481561e+08 3.9902079103697389e+08 3.9754719041841733e+08 3.9589300808231163e+08 3.9403524125999963e+08 3.9195016880635321e+08 3.8961399661678684e+08 3.8699837444897413e+08 3.8411709857895833e+08 3.8090532391386640e+08 3.7738023103713751e+08 3.7354997237313312e+08 3.6944458825326777e+08 3.6511518917969728e+08 3.6065905745263004e+08 3.5621908462801403e+08 3.5204179134286565e+08 3.4841208966661632e+08 3.4580254223911685e+08 3.4486171344936281e+08 3.4653845932720566e+08 3.5220739860702783e+08 3.6395198040156835e+08 3.8506905690028405e+08 4.2113164337075990e+08 2.7310884505459398e+08 +4.5416805601867818e+00 2.0008393615760109e+08 2.0007092785621372e+08 2.0004886565111443e+08 2.0002265146669540e+08 2.0000272974300551e+08 2.0000322714082778e+08 2.0002957083324808e+08 2.0007170455472714e+08 2.0012068064515013e+08 2.0017627320417008e+08 2.0024140376404396e+08 2.0031796142376980e+08 2.0040775029036069e+08 2.0051313265225255e+08 2.0063693184595212e+08 2.0078236411739856e+08 2.0095335933453384e+08 2.0115468940849385e+08 2.0139199804992417e+08 2.0167188440092924e+08 2.0200207768306664e+08 2.0239165728754628e+08 2.0285222726757774e+08 2.0340345053992593e+08 2.0407226502793208e+08 2.0487450586499751e+08 2.0582227717415297e+08 2.0693634023973796e+08 2.0824377061752051e+08 2.0977618594638753e+08 2.1156985911843443e+08 2.1366614934455338e+08 2.1611194504082811e+08 2.1896004118169937e+08 2.2226939551763535e+08 2.2610513200227061e+08 2.3053822630560479e+08 2.3564465897045973e+08 2.4150387549197498e+08 2.4819619245622212e+08 2.5640367335609365e+08 2.6574671991296762e+08 2.7628748342385048e+08 2.8805131867760861e+08 3.0100924642592525e+08 3.1505849894095618e+08 3.3000398956376284e+08 3.4554543046750557e+08 3.6127686810018307e+08 3.7670143048791748e+08 3.9126358439509743e+08 4.0443943920515889e+08 4.1580953528068823e+08 4.2505217380938226e+08 4.3203645061748147e+08 4.3682819268510413e+08 4.3963751605474812e+08 4.4077910805202985e+08 4.4060009661440116e+08 4.3946580440503216e+08 4.3767221440077424e+08 4.3549290281675589e+08 4.3310813029266357e+08 4.3069164784713995e+08 4.2833301708394921e+08 4.2609481037325168e+08 4.2403610966894883e+08 4.2216120180714875e+08 4.2046258333551604e+08 4.1894887855419827e+08 4.1758418364127660e+08 4.1637517276192820e+08 4.1530134295977175e+08 4.1436150761852318e+08 4.1352919535089034e+08 4.1276790812758422e+08 4.1207398824622494e+08 4.1142947971031839e+08 4.1079475117614436e+08 4.1033698914657724e+08 4.0987197527260309e+08 4.0939629099467754e+08 4.0889760576367760e+08 4.0838302395469493e+08 4.0783573343200314e+08 4.0728472275041467e+08 4.0666546719958353e+08 4.0600276983002019e+08 4.0528444570629370e+08 4.0450098019233835e+08 4.0364081092806005e+08 4.0269091299422109e+08 4.0163046573989856e+08 4.0047222175773931e+08 3.9915738016985571e+08 3.9768327656750512e+08 3.9602852941380525e+08 3.9417012806535447e+08 3.9208434325382793e+08 3.8974737272821361e+08 3.8713086239429617e+08 3.8424858424177736e+08 3.8103571153540182e+08 3.7750941333976972e+08 3.7367784487102586e+08 3.6957105674024945e+08 3.6524017694378501e+08 3.6078252108482438e+08 3.5634103501794672e+08 3.5216229713048100e+08 3.4853135428045470e+08 3.4592091487088269e+08 3.4497977053982812e+08 3.4665709175157195e+08 3.5232797030476481e+08 3.6407657122798777e+08 3.8520088332133567e+08 4.2127579276373935e+08 2.7263449782831264e+08 +4.5466488829610396e+00 2.0137695799474448e+08 2.0136380550127518e+08 2.0134150055935284e+08 2.0131497638466957e+08 2.0129475185057306e+08 2.0129507792846423e+08 2.0132143449482328e+08 2.0136367397887826e+08 2.0141275676254833e+08 2.0146843888614440e+08 2.0153365327513769e+08 2.0161029048572788e+08 2.0170015228440312e+08 2.0180560013510004e+08 2.0192945741006753e+08 2.0207493966920388e+08 2.0224597617009720e+08 2.0244733863190740e+08 2.0268467061557660e+08 2.0296457082463184e+08 2.0329476771347883e+08 2.0368433909393480e+08 2.0414488376588923e+08 2.0469605486503327e+08 2.0536479577937964e+08 2.0616694741767102e+08 2.0711460083354822e+08 2.0822850364678338e+08 2.0953571778595436e+08 2.1106784332002467e+08 2.1286112961553687e+08 2.1495690428335369e+08 2.1740201336624262e+08 2.2024919520460403e+08 2.2355733220193207e+08 2.2739144836838359e+08 2.3182238763486516e+08 2.3692595800243741e+08 2.4278138106862050e+08 2.4946868574430257e+08 2.5766900445521545e+08 2.6700249141961470e+08 2.7753059663311076e+08 2.8927783745811510e+08 3.0221427880699843e+08 3.1623612900018543e+08 3.3114730425899506e+08 3.4664669224953216e+08 3.6232787722960651e+08 3.7769408546120095e+08 3.9219061651482362e+08 4.0529516450906068e+08 4.1659049556831616e+08 4.2575756239173281e+08 4.3266809247397214e+08 4.3739019510843670e+08 4.4013564379027379e+08 4.4122007282137179e+08 4.4099090734155434e+08 4.3981324855184823e+08 4.3798256524637461e+08 4.3577174418096960e+08 4.3336034940899861e+08 4.3092144182425320e+08 4.2854399506403464e+08 4.2629007366346157e+08 4.2421831348715109e+08 4.2233266123311132e+08 4.2062530897047335e+08 4.1910461656518161e+08 4.1773447627069008e+08 4.1652132868798554e+08 4.1544447872104365e+08 4.1450253332132381e+08 4.1366881020979142e+08 4.1290663412268257e+08 4.1221215544392258e+08 4.1156727374651891e+08 4.1093227277337730e+08 4.1047434369728488e+08 4.1000916957860851e+08 4.0953332542671984e+08 4.0903447410925698e+08 4.0851972137968081e+08 4.0797225526598436e+08 4.0742104340362167e+08 4.0680158208639687e+08 4.0613866440204597e+08 4.0542010133568287e+08 4.0463637506470114e+08 4.0377591935840255e+08 4.0282570493606222e+08 4.0176491022799480e+08 4.0060626206142259e+08 3.9929098183923364e+08 3.9781638628033406e+08 3.9616108668888891e+08 3.9430206471823609e+08 3.9221558315415674e+08 3.8987783177885306e+08 3.8726045283593869e+08 3.8437719403004283e+08 3.8116324732379216e+08 3.7763577019668502e+08 3.7380292059536594e+08 3.6969475918604457e+08 3.6536243107595539e+08 3.6090328444343352e+08 3.5646031835282105e+08 3.5228016719122028e+08 3.4864801033770770e+08 3.4603669847936004e+08 3.4509524562764561e+08 3.4677312961431623e+08 3.5244590500243175e+08 3.6419843712683862e+08 3.8532982668629146e+08 4.2141678917813319e+08 2.7216007051685917e+08 +4.5516172057352975e+00 2.0266765164489475e+08 2.0265435305976656e+08 2.0263180672647160e+08 2.0260497195994613e+08 2.0258444532700327e+08 2.0258460017440158e+08 2.0261096923506585e+08 2.0265331379828396e+08 2.0270250248462340e+08 2.0275827329807141e+08 2.0282357049542052e+08 2.0290028607357326e+08 2.0299021942643154e+08 2.0309573116091293e+08 2.0321964464308664e+08 2.0336517469582731e+08 2.0353624991039923e+08 2.0373764174276525e+08 2.0397499352060953e+08 2.0425490340923285e+08 2.0458509898267049e+08 2.0497465633652902e+08 2.0543516884841800e+08 2.0598627958396280e+08 2.0665493698982632e+08 2.0745698751060736e+08 2.0840450895511645e+08 2.0951823497361189e+08 2.1082521346883532e+08 2.1235702647362649e+08 2.1414989929527122e+08 2.1624512733913460e+08 2.1868951358985856e+08 2.2153573898796070e+08 2.2484260974165466e+08 2.2867504899177080e+08 2.3310376793733037e+08 2.3820440100232869e+08 2.4405594484697664e+08 2.5073813972282884e+08 2.5893117742808604e+08 2.6825497078280237e+08 2.7877026842010963e+08 2.9050075115957510e+08 3.0341553028813052e+08 3.1740979412805909e+08 3.3228646779686564e+08 3.4774362263348609e+08 3.6337439071460629e+08 3.7868210749412793e+08 3.9311291575021076e+08 4.0614610223867041e+08 4.1736666253664279e+08 4.2645819959860206e+08 4.3329506653295600e+08 4.3794764525838482e+08 4.4062935558450466e+08 4.4165676801224893e+08 4.4137759592260695e+08 4.4015671240250283e+08 4.3828906789223933e+08 4.3604685735793453e+08 4.3360894749189872e+08 4.3114770903549224e+08 4.2875152831543434e+08 4.2648196292313427e+08 4.2439720354846758e+08 4.2250085777265000e+08 4.2078481423538673e+08 4.1925716922198868e+08 4.1788161200555354e+08 4.1666435042076188e+08 4.1558449805817384e+08 4.1464045619894904e+08 4.1380533260853022e+08 4.1304227566716093e+08 4.1234724457017720e+08 4.1170199510040712e+08 4.1106672664804244e+08 4.1060863399367863e+08 4.1014330312052947e+08 4.0966730264912468e+08 4.0916828896647185e+08 4.0865336915389889e+08 4.0810573150902933e+08 4.0755432264102077e+08 4.0693466017605811e+08 4.0627152712034875e+08 4.0555273046990830e+08 4.0476874928711826e+08 4.0390801355686945e+08 4.0295748973401511e+08 4.0189635546474087e+08 4.0073731182168990e+08 3.9942160277844942e+08 3.9794652626563400e+08 3.9629068658809513e+08 3.9443105786773038e+08 3.9234389512229979e+08 3.9000538034338653e+08 3.8738715230495673e+08 3.8450293442625290e+08 3.8128793770744437e+08 3.7775930797654402e+08 3.7392520585032856e+08 3.6981570182479411e+08 3.6548195773759764e+08 3.6102135361525214e+08 3.5657694064414889e+08 3.5239540746564794e+08 3.4876206371856523e+08 3.4614989890029699e+08 3.4520814453237212e+08 3.4688657876378959e+08 3.5256120864369011e+08 3.6431758424010736e+08 3.8545589349376136e+08 4.2155463972079891e+08 2.7168556816930854e+08 +4.5565855285095553e+00 2.0395599838299084e+08 2.0394255472048369e+08 2.0391976867097327e+08 2.0389262326665679e+08 2.0387179496571791e+08 2.0387177873652646e+08 2.0389815989991224e+08 2.0394060884056762e+08 2.0398990263574085e+08 2.0404576126635876e+08 2.0411114025167355e+08 2.0418793301429644e+08 2.0427793654571658e+08 2.0438351056135947e+08 2.0450747837924278e+08 2.0465305403506318e+08 2.0482416539751354e+08 2.0502558358890912e+08 2.0526295161916825e+08 2.0554286701665813e+08 2.0587305636154032e+08 2.0626259389764953e+08 2.0672306741093421e+08 2.0727410960876945e+08 2.0794267359192085e+08 2.0874461110089767e+08 2.0969198652488449e+08 2.1080551924101412e+08 2.1211224272836795e+08 2.1364372051832250e+08 2.1543615332791907e+08 2.1753080375214502e+08 2.1997443103593495e+08 2.2281965795680892e+08 2.2612521368274790e+08 2.2995591956367406e+08 2.3438235307946533e+08 2.3947997404828501e+08 2.4532755316003519e+08 2.5200454103267041e+08 2.6019017931960160e+08 2.6950414554135233e+08 2.8000648692611593e+08 2.9172004865498704e+08 3.0461299062487251e+08 3.1857948512866324e+08 3.3342147220946580e+08 3.4883621505653894e+08 3.6441640355719978e+08 3.7966549327412128e+08 3.9403048053097636e+08 4.0699225254580712e+08 4.1813803795618886e+08 4.2715408864110267e+08 4.3391737721788269e+08 4.3850054852149761e+08 4.4111865754590327e+08 4.4208920024022377e+08 4.4176016930792695e+08 4.4049620311073321e+08 4.3859172960190082e+08 4.3631824966005439e+08 4.3385393186124092e+08 4.3137045678373718e+08 4.2895562411240780e+08 4.2667048539081776e+08 4.2457278705607200e+08 4.2266579859368509e+08 4.2094110626482546e+08 4.1940654363074863e+08 4.1802559792602748e+08 4.1680424501718968e+08 4.1572140800843710e+08 4.1477528327090096e+08 4.1393876955056912e+08 4.1317483975136912e+08 4.1247926260333061e+08 4.1183365073972404e+08 4.1119811975671089e+08 4.1073986698615223e+08 4.1027438283945298e+08 4.0979822959569186e+08 4.0929905726008660e+08 4.0878397419405872e+08 4.0823616906795210e+08 4.0768456735964710e+08 4.0706470835549051e+08 4.0640136486022115e+08 4.0568233997237116e+08 4.0489810970993030e+08 4.0403710035912168e+08 4.0308627420828861e+08 4.0202480825070411e+08 4.0086537782082027e+08 3.9954924974769187e+08 3.9807370325877661e+08 3.9641733581849235e+08 3.9455711418960404e+08 3.9246928579803604e+08 3.9013002502264768e+08 3.8751096735718912e+08 3.8462581193739760e+08 3.8140978913883853e+08 3.7788003307219321e+08 3.7404470696393567e+08 3.6993389091577196e+08 3.6559876311484510e+08 3.6113673471006536e+08 3.5669090792657036e+08 3.5250802391778177e+08 3.4887352032493514e+08 3.4626052199163610e+08 3.4531847309650433e+08 3.4699744507059938e+08 3.5267388719507486e+08 3.6443401873328710e+08 3.8557909026705796e+08 4.2168935152663755e+08 2.7121099581241471e+08 +4.5615538512838132e+00 2.0524199011257100e+08 2.0522839662964031e+08 2.0520537047632426e+08 2.0517791514210039e+08 2.0515678570763046e+08 2.0515659856556836e+08 2.0518299142578301e+08 2.0522554402394319e+08 2.0527494213176844e+08 2.0533088770962796e+08 2.0539634746208629e+08 2.0547321622746250e+08 2.0556328856381634e+08 2.0566892325958458e+08 2.0579294354456094e+08 2.0593856261665431e+08 2.0610970756576735e+08 2.0631114910974869e+08 2.0654852985716805e+08 2.0682844660074300e+08 2.0715862481385249e+08 2.0754813675225580e+08 2.0800856444217822e+08 2.0855952994500884e+08 2.0922799061157414e+08 2.1002980323872983e+08 2.1097701862217751e+08 2.1209034156350473e+08 2.1339679072064084e+08 2.1492791066016781e+08 2.1671987697855970e+08 2.1881391885850626e+08 2.2125675112554860e+08 2.2410093763379118e+08 2.2740512966995716e+08 2.3123404587505278e+08 2.3565812902881882e+08 2.4075266332002541e+08 2.4659619244408888e+08 2.5326787642049232e+08 2.6144599728144091e+08 2.7075000334209484e+08 2.8123924040402144e+08 2.9293571893123615e+08 3.0580664968690652e+08 3.1974519292196465e+08 3.3455230964464289e+08 3.4992446307177085e+08 3.6545391087416613e+08 3.8064423959959990e+08 3.9494330939324075e+08 4.0783361568214035e+08 4.1890462368943983e+08 4.2784523281468064e+08 4.3453502902815044e+08 4.3904891035290331e+08 4.4160355584253585e+08 4.4251737617527747e+08 4.4213863449689555e+08 4.4083172787564230e+08 4.3889055768141675e+08 4.3658592843691504e+08 4.3409530987152576e+08 4.3158969240599787e+08 4.2915628976116055e+08 4.2685564833667868e+08 4.2474507124245828e+08 4.2282749089287919e+08 4.2109419222327137e+08 4.1955274692516750e+08 4.1816644113880044e+08 4.1694101956035370e+08 4.1585521563429165e+08 4.1490702158232856e+08 4.1406912806740445e+08 4.1330433339319426e+08 4.1260821654872751e+08 4.1196224765825480e+08 4.1132645908239096e+08 4.1086804964919794e+08 4.1040241570323050e+08 4.0992611322510093e+08 4.0942678594106221e+08 4.0891154344143957e+08 4.0836357487564611e+08 4.0781178448318350e+08 4.0719173353785229e+08 4.0652818452407438e+08 4.0580893673310357e+08 4.0502446320921141e+08 4.0416318662697256e+08 4.0321206520345098e+08 4.0215027541455549e+08 4.0099046686660069e+08 3.9967392953180319e+08 3.9819792401955360e+08 3.9654104111271334e+08 3.9468024038459545e+08 3.9259176184642524e+08 3.9025177244145960e+08 3.8763190457381517e+08 3.8474583309593320e+08 3.8152880809574306e+08 3.7799795190152347e+08 3.7416143028873688e+08 3.7004933274155694e+08 3.6571285341571736e+08 3.6124943386089200e+08 3.5680222625777566e+08 3.5261802253432316e+08 3.4898238608220088e+08 3.4636857363397443e+08 3.4542623718415481e+08 3.4710573442799520e+08 3.5278394664631480e+08 3.6454774679573786e+08 3.8569942355436403e+08 4.2182093175638336e+08 2.7073635845063549e+08 +4.5665221740580710e+00 2.0652559901211542e+08 2.0651186475374568e+08 2.0648859882624829e+08 2.0646083225521207e+08 2.0643940270538935e+08 2.0643904467706412e+08 2.0646544883237651e+08 2.0650810435782608e+08 2.0655760598028556e+08 2.0661363763787878e+08 2.0667917713732293e+08 2.0675612072432056e+08 2.0684626049412435e+08 2.0695195427122989e+08 2.0707602515736300e+08 2.0722168546274975e+08 2.0739286144134191e+08 2.0759432333731058e+08 2.0783171327355841e+08 2.0811162720846137e+08 2.0844178939566451e+08 2.0883126996821824e+08 2.0929164502362162e+08 2.0984252569073519e+08 2.1051087316757265e+08 2.1131254906783319e+08 2.1225959042069384e+08 2.1337268714994994e+08 2.1467884269627464e+08 2.1620958220037454e+08 2.1800105560830015e+08 2.2009445809057972e+08 2.2253645937653759e+08 2.2537956363908249e+08 2.2868234344608676e+08 2.3250941381649786e+08 2.3693108185285977e+08 2.4202245509936082e+08 2.4786184923921943e+08 2.5452813273762003e+08 2.6269861857194340e+08 2.7199253194184804e+08 2.8246851721627843e+08 2.9414775108702058e+08 3.0699649745785344e+08 3.2090690854356867e+08 3.3567897236681348e+08 3.5100836034823668e+08 3.6648690789567858e+08 3.8161834337895805e+08 3.9585140097836089e+08 4.0867019199842864e+08 4.1966642168998331e+08 4.2853163549755478e+08 4.3514802653849268e+08 4.3959273627397835e+08 4.4208405670318341e+08 4.4294130254152101e+08 4.4251299853698325e+08 4.4116329393984586e+08 4.3918555947604704e+08 4.3684990107633704e+08 4.3433308891279507e+08 4.3180542327255541e+08 4.2935353260004139e+08 4.2703745906152505e+08 4.2491406337092167e+08 4.2298594189670056e+08 4.2124407930254042e+08 4.1969578626703000e+08 4.1830414877846897e+08 4.1707468116155684e+08 4.1598592802606499e+08 4.1503567820580560e+08 4.1419641521567768e+08 4.1343076363587242e+08 4.1273411343796104e+08 4.1208779287670422e+08 4.1145175163501573e+08 4.1099318898481649e+08 4.1052740870514196e+08 4.1005096052374041e+08 4.0955148198618722e+08 4.0903608386514348e+08 4.0848795589124846e+08 4.0793598096139038e+08 4.0731574266169173e+08 4.0665199303896064e+08 4.0593252766710287e+08 4.0514781668737429e+08 4.0428627924762684e+08 4.0333486959140831e+08 4.0227276380869395e+08 4.0111258579195684e+08 3.9979564894217831e+08 3.9831919533422369e+08 3.9666180922767824e+08 3.9480044317811733e+08 3.9271132995810634e+08 3.9037062925071394e+08 3.8774997055990386e+08 3.8486300445800203e+08 3.8164500107960618e+08 3.7811307090588582e+08 3.7427538220054221e+08 3.7016203360774612e+08 3.6582423487329185e+08 3.6135945722384053e+08 3.5691090171766704e+08 3.5272540932401162e+08 3.4908866693690932e+08 3.4647405972989726e+08 3.4553144268243599e+08 3.4721145275035578e+08 3.5289139300866288e+08 3.6465877463949341e+08 3.8581689992822862e+08 4.2194938759887129e+08 2.7026166106615758e+08 +4.5714904968323289e+00 2.0780682051617935e+08 2.0779294157570976e+08 2.0776943476173276e+08 2.0774136000204471e+08 2.0771963117333519e+08 2.0771910214522818e+08 2.0774551722072315e+08 2.0778827494247985e+08 2.0783787928114560e+08 2.0789399615287790e+08 2.0795961437996697e+08 2.0803663160809490e+08 2.0812683744215286e+08 2.0823258870378914e+08 2.0835670832831186e+08 2.0850240768749616e+08 2.0867361214303699e+08 2.0887509139598638e+08 2.0911248699909267e+08 2.0939239397857633e+08 2.0972253525581434e+08 2.1011197870570222e+08 2.1057229432931295e+08 2.1112308203729761e+08 2.1179130647193104e+08 2.1259283382544327e+08 2.1353968718742001e+08 2.1465254130326363e+08 2.1595838400119925e+08 2.1748872053431872e+08 2.1927967467311826e+08 2.2137240697680709e+08 2.2381354140305966e+08 2.2665552169018626e+08 2.2995684085251153e+08 2.3378200937786543e+08 2.3820119772068176e+08 2.4328933576998937e+08 2.4912451018872270e+08 2.5578529694070604e+08 2.6394803055657765e+08 2.7323171920542198e+08 2.8369430583724976e+08 2.9535613433435673e+08 3.0818252403636181e+08 3.2206462314446157e+08 3.3680145275600642e+08 3.5208790066947681e+08 3.6751538996538728e+08 3.8258780163118684e+08 3.9675475403307682e+08 4.0950198194391716e+08 4.2042343400368285e+08 4.2921330015236205e+08 4.3575637439854532e+08 4.4013203187370187e+08 4.4256016641581821e+08 4.4336098611612618e+08 4.4288326852485484e+08 4.4149090859019375e+08 4.3947674237299496e+08 4.3711017500335336e+08 4.3456727641052878e+08 4.3201765678694212e+08 4.2954735999843180e+08 4.2721592489632332e+08 4.2507977073278397e+08 4.2314115885957259e+08 4.2139077472232044e+08 4.1983566884532839e+08 4.1843872800609595e+08 4.1720523695730555e+08 4.1611355229977876e+08 4.1516126023993564e+08 4.1432063807868540e+08 4.1355413754846251e+08 4.1285696032785791e+08 4.1221029344075412e+08 4.1157400444973785e+08 4.1111529202022129e+08 4.1064936886434400e+08 4.1017277850161332e+08 4.0967315239814246e+08 4.0915760245843017e+08 4.0860931909856987e+08 4.0805716376870036e+08 4.0743674269193256e+08 4.0677279735824978e+08 4.0605311971506041e+08 4.0526817707139689e+08 4.0440638513349468e+08 4.0345469426795346e+08 4.0239228031117284e+08 4.0123174145570832e+08 3.9991441481465697e+08 3.9843752401286644e+08 3.9677964694548786e+08 3.9491772932084453e+08 3.9282799684738660e+08 3.9048660212484586e+08 3.8786517194605714e+08 3.8497733260402817e+08 3.8175837461574930e+08 3.7822539655049789e+08 3.7438656909904408e+08 3.7027199984372264e+08 3.6593291374181741e+08 3.6146681097748095e+08 3.5701694040902120e+08 3.5283019031806177e+08 3.4919236885832947e+08 3.4657698620325071e+08 3.4563409549855918e+08 3.4731460597483248e+08 3.5299623231668794e+08 3.6476710849956173e+08 3.8593152598549527e+08 4.2207472626823825e+08 2.6978690861892247e+08 +4.5764588196065867e+00 2.0908563554713517e+08 2.0907161276480752e+08 2.0904786772467828e+08 2.0901948413648820e+08 2.0899745623864457e+08 2.0899675612459481e+08 2.0902318177238622e+08 2.0906604096883747e+08 2.0911574722654739e+08 2.0917194844808453e+08 2.0923764438478842e+08 2.0931473407446277e+08 2.0940500460575759e+08 2.0951081175708511e+08 2.0963497825984213e+08 2.0978071449733937e+08 2.0995194488201851e+08 2.1015343850217900e+08 2.1039083625725704e+08 2.1067073214282560e+08 2.1100084763544890e+08 2.1139024821782082e+08 2.1185049762678024e+08 2.1240118426918435e+08 2.1306927582977629e+08 2.1387064284208319e+08 2.1481729428310329e+08 2.1592988941974837e+08 2.1723540007407150e+08 2.1876531115298453e+08 2.2055571972485587e+08 2.2264775114139152e+08 2.2508798291654778e+08 2.2792879760238251e+08 2.3122860782880911e+08 2.3505181864831057e+08 2.3946846290114862e+08 2.4455329181778923e+08 2.5038416203886414e+08 2.5703935609074140e+08 2.6519422070708561e+08 2.7446755310642105e+08 2.8491659485096693e+08 2.9656085799688292e+08 3.0936471963465369e+08 3.2321832799012512e+08 3.3791974330722994e+08 3.5316307793446469e+08 3.6853935254059255e+08 3.8355261148440462e+08 3.9765336740873528e+08 4.1032898606687361e+08 4.2117566276710767e+08 4.2989023032364172e+08 4.3636007733296108e+08 4.4066680280850035e+08 4.4303189132898343e+08 4.4377643373001504e+08 4.4324945160471904e+08 4.4181457915694791e+08 4.3976411379754400e+08 4.3736675768014765e+08 4.3479787982546723e+08 4.3222640038500601e+08 4.2973777935800713e+08 4.2739105320277929e+08 4.2524220064935869e+08 4.2329314906405717e+08 4.2153428573054487e+08 4.1997240187555546e+08 4.1857018600958598e+08 4.1733269411138886e+08 4.1623809559829259e+08 4.1528377480915570e+08 4.1444180376539612e+08 4.1367446222674167e+08 4.1297676430181473e+08 4.1232975642239481e+08 4.1169322458687103e+08 4.1123436580843800e+08 4.1076830322632968e+08 4.1029157419626862e+08 4.0979180420536131e+08 4.0927610624068934e+08 4.0872767150811470e+08 4.0817533990595341e+08 4.0755474061780953e+08 4.0689060446018362e+08 4.0617071984347898e+08 4.0538555131401199e+08 4.0452351122254759e+08 4.0357154615489525e+08 4.0250883182582664e+08 4.0134794074074513e+08 4.0003023400952107e+08 3.9855291689102805e+08 3.9689456107370216e+08 3.9503210558764738e+08 3.9294176925326097e+08 3.9059969776306587e+08 3.8797751538585585e+08 3.8508882413874871e+08 3.8186893525369728e+08 3.7833493532352823e+08 3.7449499740696871e+08 3.7037923780167103e+08 3.6603889629929239e+08 3.6157150132292974e+08 3.5712034845711899e+08 3.5293237156903392e+08 3.4929349783650059e+08 3.4667735899986845e+08 3.4573420156256837e+08 3.4741520005978209e+08 3.5309847062572134e+08 3.6487275463423765e+08 3.8604330834742862e+08 4.2219695500552636e+08 2.6931210604665315e+08 +4.5814271423808446e+00 2.1036203110380012e+08 2.1034786512799445e+08 2.1032388177607280e+08 2.1029518954393128e+08 2.1027286303402597e+08 2.1027199188499120e+08 2.1029842775484195e+08 2.1034138772008252e+08 2.1039119510195568e+08 2.1044747980863559e+08 2.1051325243828291e+08 2.1059041341115102e+08 2.1068074727468947e+08 2.1078660872303876e+08 2.1091082024699545e+08 2.1105659119108787e+08 2.1122784496159920e+08 2.1142934996509415e+08 2.1166674636384344e+08 2.1194662702525035e+08 2.1227671186898804e+08 2.1266606385040906e+08 2.1312624027562344e+08 2.1367681776336148e+08 2.1434476663999781e+08 2.1514596154194629e+08 2.1609239716243517e+08 2.1720471699060535e+08 2.1850987644976044e+08 2.2003933964180604e+08 2.2182917640982714e+08 2.2392047630428651e+08 2.2635976972476789e+08 2.2919937728799731e+08 2.3249763041316983e+08 2.3631882781676292e+08 2.4073286376369154e+08 2.4581430982978278e+08 2.5164079163960150e+08 2.5829029735383090e+08 2.6643717660236099e+08 2.7570002172675645e+08 2.8613537295217675e+08 2.9776191151072556e+08 3.1054307457826263e+08 3.2436801446174890e+08 3.3903383663129961e+08 3.5423388615626085e+08 3.6955879118930048e+08 3.8451277017616618e+08 3.9854724006074864e+08 4.1115120501235944e+08 4.2192311020637131e+08 4.3056242963804173e+08 4.3695914013939089e+08 4.4119705479845977e+08 4.4349923784887743e+08 4.4418765226645106e+08 4.4361155496739805e+08 4.4213431301324248e+08 4.4004768121614718e+08 4.3761965660559618e+08 4.3502490665179294e+08 4.3243166153667939e+08 4.2992479811051792e+08 4.2756285137155634e+08 4.2540136047068989e+08 4.2344191982112867e+08 4.2167461960153037e+08 4.2010599260075879e+08 4.1869853000341606e+08 4.1745705981360686e+08 4.1635956508932763e+08 4.1540322906326610e+08 4.1455991941004169e+08 4.1379174479125673e+08 4.1309353246767163e+08 4.1244618891846693e+08 4.1180941913280427e+08 4.1135041742738873e+08 4.1088421886089236e+08 4.1040735466940629e+08 4.0990744446059865e+08 4.0939160225652003e+08 4.0884302015462625e+08 4.0829051639852458e+08 4.0766974345440328e+08 4.0700542134787738e+08 4.0628533504265326e+08 4.0549994639239186e+08 4.0463766447745174e+08 4.0368543219836640e+08 4.0262242527978146e+08 4.0146119055505490e+08 4.0014311341237265e+08 3.9866538082856119e+08 3.9700655844315499e+08 3.9514357877763635e+08 3.9305265393917006e+08 3.9070992288806951e+08 3.8808700755726689e+08 3.8519748568992215e+08 3.8197668956589538e+08 3.7844169373716247e+08 3.7460067356982708e+08 3.7048375385649711e+08 3.6614218884580284e+08 3.6167353448362541e+08 3.5722113200796217e+08 3.5303195915215957e+08 3.4939205988396317e+08 3.4677518408699161e+08 3.4583176682490808e+08 3.4751324098474896e+08 3.5319811401313567e+08 3.6497571932290608e+08 3.8615225365779519e+08 4.2231608107727325e+08 2.6883725826487935e+08 +4.5863954651551024e+00 2.1163599365946889e+08 2.1162168119832990e+08 2.1159746044961542e+08 2.1156846223879644e+08 2.1154583685845739e+08 2.1154479482453832e+08 2.1157124052575538e+08 2.1161430057026854e+08 2.1166420828465420e+08 2.1172057561132550e+08 2.1178642391950136e+08 2.1186365499777189e+08 2.1195405083096147e+08 2.1205996498588610e+08 2.1218421967651707e+08 2.1233002315928271e+08 2.1250129777712303e+08 2.1270281118593493e+08 2.1294020272729054e+08 2.1322006404246619e+08 2.1355011338257343e+08 2.1393941104204255e+08 2.1439950772921062e+08 2.1494996799044427e+08 2.1561776439408699e+08 2.1641877544223532e+08 2.1736498137353492e+08 2.1847700960060585e+08 2.1978179875614762e+08 2.2131079168129358e+08 2.2310003047127324e+08 2.2519056828203517e+08 2.2762888773203543e+08 2.3046724675729701e+08 2.3376389474175590e+08 2.3758302317063776e+08 2.4199438677875397e+08 2.4707237649521416e+08 2.5289438594394889e+08 2.5953810800045270e+08 2.6767688592695507e+08 2.7692911325693506e+08 2.8735062894586360e+08 2.9895928442401117e+08 3.1171757930665112e+08 3.2551367405418646e+08 3.4014372545302051e+08 3.5530031946217716e+08 3.7057370159365952e+08 3.8546827505194998e+08 3.9943637104759252e+08 4.1196863952351654e+08 4.2266577863798565e+08 4.3122990180444431e+08 4.3755356768966264e+08 4.4172279363222682e+08 4.4396221244048715e+08 4.4459464866091609e+08 4.4396958585193056e+08 4.4245011757572597e+08 4.4032745213314337e+08 4.3786887931491411e+08 4.3524836441809368e+08 4.3263344774249738e+08 4.3010842371946645e+08 4.2773132682337910e+08 4.2555725757475674e+08 4.2358747846964061e+08 4.2181178363757730e+08 4.2023644829062897e+08 4.1882376722762907e+08 4.1757834127881765e+08 4.1647796796702212e+08 4.1551963017795652e+08 4.1467499217273700e+08 4.1390599238783938e+08 4.1320727195890814e+08 4.1255959805121559e+08 4.1192259519832295e+08 4.1146345398029357e+08 4.1099712286264873e+08 4.1052012700770730e+08 4.1002008024270737e+08 4.0950409757500952e+08 4.0895537209797055e+08 4.0840270029642045e+08 4.0778175824124509e+08 4.0711725504994553e+08 4.0639697232858145e+08 4.0561136930882221e+08 4.0474885188525492e+08 4.0379635936886293e+08 4.0273306762618792e+08 4.0157149783098710e+08 4.0025305993248433e+08 3.9877492270958626e+08 3.9711564590933782e+08 3.9525215571427381e+08 3.9316065769225568e+08 3.9081728424612141e+08 3.8819365516164243e+08 3.8530332390910923e+08 3.8208164414821744e+08 3.7854567832612568e+08 3.7470360405643356e+08 3.7058555440553629e+08 3.6624279770364124e+08 3.6177291670482808e+08 3.5731929723023009e+08 3.5312895916298884e+08 3.4948806103330088e+08 3.4687046745184815e+08 3.4592679725748020e+08 3.4760873475065261e+08 3.5329516857818353e+08 3.6507600886847991e+08 3.8625836858542246e+08 4.2243211177655494e+08 2.6836237016696569e+08 +4.5913637879293603e+00 2.1290750562369812e+08 2.1289304913575277e+08 2.1286859036583811e+08 2.1283928689733863e+08 2.1281636315448999e+08 2.1281515045059645e+08 2.1284160553928256e+08 2.1288476498694658e+08 2.1293477224498674e+08 2.1299122132478994e+08 2.1305714429930007e+08 2.1313444430620369e+08 2.1322490074868020e+08 2.1333086602156124e+08 2.1345516202794042e+08 2.1360099588576809e+08 2.1377228881691355e+08 2.1397380765853915e+08 2.1421119084825939e+08 2.1449102870353404e+08 2.1482103769567886e+08 2.1521027532407436e+08 2.1567028553302827e+08 2.1622062051369244e+08 2.1688825467703953e+08 2.1768907015427205e+08 2.1863503255867779e+08 2.1974675292883125e+08 2.2105115271659225e+08 2.2257965304674304e+08 2.2436826774619624e+08 2.2645801298678523e+08 2.2889532293950927e+08 2.3173239211726096e+08 2.3502738704942080e+08 2.3884439109766901e+08 2.4325301851648214e+08 2.4832747860510603e+08 2.5414493200761166e+08 2.6078277540639976e+08 2.6891333647257698e+08 2.7815481599553347e+08 2.8856235174675477e+08 3.0015296639632934e+08 3.1288822437208724e+08 3.2665529837644827e+08 3.4124940261253607e+08 3.5636237209304219e+08 3.7158407954603130e+08 3.8641912356668842e+08 4.0032075953241968e+08 4.1278129044013357e+08 4.2340367046782279e+08 4.3189265061161923e+08 4.3814336492796224e+08 4.4224402516078985e+08 4.4442082162702048e+08 4.4499742990030998e+08 4.4432355154357582e+08 4.4276200030215204e+08 4.4060343409267449e+08 4.3811443337924111e+08 4.3546826068691069e+08 4.3283176653560203e+08 4.3028866367786819e+08 4.2789648700800365e+08 4.2570989936867261e+08 4.2372983237509722e+08 4.2194578516717499e+08 4.2036377624023217e+08 4.1894590494889975e+08 4.1769654574827695e+08 4.1659331145047086e+08 4.1563298535397482e+08 4.1478702923793948e+08 4.1401721218664902e+08 4.1331798993401861e+08 4.1266999096747011e+08 4.1203275991941518e+08 4.1157348259458393e+08 4.1110702235182846e+08 4.1062989832278371e+08 4.1012971865371770e+08 4.0961359929008508e+08 4.0906473442222559e+08 4.0851189867480397e+08 4.0789079204206115e+08 4.0722611261831796e+08 4.0650563874113709e+08 4.0571982708947587e+08 4.0485708045742798e+08 4.0390433466171271e+08 4.0284076584075409e+08 4.0167886952505362e+08 4.0036008050357234e+08 3.9888154944175154e+08 3.9722183035142547e+08 3.9535784324433476e+08 3.9326578732335240e+08 3.9092178860815191e+08 3.8829746492371404e+08 3.8540634547100109e+08 3.8218380561960900e+08 3.7864689564781445e+08 3.7480379535751939e+08 3.7068464586813068e+08 3.6634072921759123e+08 3.6186965425304031e+08 3.5741485031360269e+08 3.5322337771882439e+08 3.4958150733898008e+08 3.4696321510418034e+08 3.4601929885282236e+08 3.4770168737919742e+08 3.5338964044081336e+08 3.6517362959466177e+08 3.8636165982066649e+08 4.2254505442042691e+08 2.6788744662413827e+08 +4.5963321107036181e+00 2.1417655327380055e+08 2.1416195480639607e+08 2.1413725847139052e+08 2.1410764833178809e+08 2.1408442742925894e+08 2.1408304434774095e+08 2.1410950834797511e+08 2.1415276652968204e+08 2.1420287254614395e+08 2.1425940250900948e+08 2.1432539914032614e+08 2.1440276690072739e+08 2.1449328259396893e+08 2.1459929739927661e+08 2.1472363287275103e+08 2.1486949494569427e+08 2.1504080366119239e+08 2.1524232496912199e+08 2.1547969632011691e+08 2.1575950661032465e+08 2.1608947042029783e+08 2.1647864232065123e+08 2.1693855932598200e+08 2.1748876098996723e+08 2.1815622316742340e+08 2.1895683138256890e+08 2.1990253645342359e+08 2.2101393274837649e+08 2.2231792414853042e+08 2.2384590960840249e+08 2.2563387416830084e+08 2.2772279642653516e+08 2.3015906144488144e+08 2.3299479957299319e+08 2.3628809366884828e+08 2.4010291808417097e+08 2.4450874564800292e+08 2.4957960305170867e+08 2.5539241698975298e+08 2.6202428705102581e+08 2.7014651613668644e+08 2.7937711834889913e+08 2.8977053037957150e+08 3.0134294719890058e+08 3.1405500044012511e+08 3.2779287915186805e+08 3.4235086106320852e+08 3.5742003840274292e+08 3.7258992095067137e+08 3.8736531328166634e+08 4.0120040477965438e+08 4.1358915869751269e+08 4.2413678818967056e+08 4.3255067993100637e+08 4.3872853687044388e+08 4.4276075530170798e+08 4.4487507198934323e+08 4.4539600302396864e+08 4.4467345937340450e+08 4.4306996869296563e+08 4.4087563467683202e+08 4.3835632640549761e+08 4.3568460305383891e+08 4.3302662548078156e+08 4.3046552550916249e+08 4.2805833940380919e+08 4.2585929328621429e+08 4.2386898893024421e+08 4.2207663154566604e+08 4.2048798377100307e+08 4.1906495045867229e+08 4.1781168048810792e+08 4.1670560278336865e+08 4.1574330181598461e+08 4.1489603781512249e+08 4.1412541138387609e+08 4.1342569357614052e+08 4.1277737483806479e+08 4.1213992045572585e+08 4.1168051042270535e+08 4.1121392447250110e+08 4.1073667574975592e+08 4.1023636682071471e+08 4.0972011451978123e+08 4.0917111423625493e+08 4.0861811863211870e+08 4.0799685194526809e+08 4.0733200112970525e+08 4.0661134134441447e+08 4.0582532678511679e+08 4.0496235722923332e+08 4.0400936509526634e+08 4.0294552692449039e+08 4.0178331261728585e+08 4.0046418208267349e+08 3.9898526795667833e+08 3.9732511867215198e+08 3.9546064823816401e+08 3.9336804966604316e+08 3.9102344276736319e+08 3.8839844359098214e+08 3.8550655707290584e+08 3.8228318062112755e+08 3.7874535228247279e+08 3.7490125398648155e+08 3.7078103468652898e+08 3.6643598975363475e+08 3.6196375341751379e+08 3.5750779746940535e+08 3.5331522095816439e+08 3.4967240487592000e+08 3.4705343307277089e+08 3.4610927762354147e+08 3.4779210491207194e+08 3.5348153574207652e+08 3.6526858784755147e+08 3.8646213407789499e+08 4.2265491635224384e+08 2.6741249248551229e+08 +4.6013004334778760e+00 2.1544312182756740e+08 2.1542838167326725e+08 2.1540344960985151e+08 2.1537353317012870e+08 2.1535001534311908e+08 2.1534846215775874e+08 2.1537493460274628e+08 2.1541829085091653e+08 2.1546849484286508e+08 2.1552510481698856e+08 2.1559117409782320e+08 2.1566860843765956e+08 2.1575918202566570e+08 2.1586524477918693e+08 2.1598961787488359e+08 2.1613550600687000e+08 2.1630682798257393e+08 2.1650834879648906e+08 2.1674570482859322e+08 2.1702548345735192e+08 2.1735539726092800e+08 2.1774449774857372e+08 2.1820431483960602e+08 2.1875437516842374e+08 2.1942165563653579e+08 2.2022204492499602e+08 2.2116747888763905e+08 2.2227853492630327e+08 2.2358209896371987e+08 2.2510954733150235e+08 2.2689683576567149e+08 2.2898490470543084e+08 2.3142008944239908e+08 2.3425445542623746e+08 2.3754600103134480e+08 2.4135859071573541e+08 2.4576155494412506e+08 2.5082873682894632e+08 2.5663682815204641e+08 2.6326263051861894e+08 2.7137641292281753e+08 2.8059600883157420e+08 2.9097515397824323e+08 3.0252921671437907e+08 3.1521789828850508e+08 3.2892640821707892e+08 3.4344809387306601e+08 3.5847331285917455e+08 3.7359122182292086e+08 3.8830684186660969e+08 4.0207530615642464e+08 4.1439224532750118e+08 4.2486513438623649e+08 4.3320399371177280e+08 4.3930908860621160e+08 4.4327299003516340e+08 4.4532497016466993e+08 4.4579037512043756e+08 4.4501931671832126e+08 4.4337403029050291e+08 4.4114406150663555e+08 4.3859456603585327e+08 4.3589739914782715e+08 4.3321803217376232e+08 4.3063901676699311e+08 4.2821689151821303e+08 4.2600544678974307e+08 4.2400495555476779e+08 4.2220433015333587e+08 4.2060907823004210e+08 4.1918091107409257e+08 4.1792375278934979e+08 4.1681484923475462e+08 4.1585058681402731e+08 4.1500202513801748e+08 4.1423059719780499e+08 4.1353039009147364e+08 4.1288175685953379e+08 4.1224408399202603e+08 4.1178454464072919e+08 4.1131783639210677e+08 4.1084046644956416e+08 4.1034003189549077e+08 4.0982365040626681e+08 4.0927451867240024e+08 4.0872136729154754e+08 4.0809994506260091e+08 4.0743492768472034e+08 4.0671408722644889e+08 4.0592787546971130e+08 4.0506468926008290e+08 4.0411145771266425e+08 4.0304735790146297e+08 4.0188483411176634e+08 4.0056537165115482e+08 3.9908608520973504e+08 3.9742551779759562e+08 3.9556057758962375e+08 3.9346745157761312e+08 3.9112225353907526e+08 3.8849659793412137e+08 3.8560396543496948e+08 3.8237977581713617e+08 3.7884105483199281e+08 3.7499598647825038e+08 3.7087472732356071e+08 3.6652858569918567e+08 3.6205522050744116e+08 3.5759814492953914e+08 3.5340449503953826e+08 3.4976075973950940e+08 3.4714112740764374e+08 3.4619673960359269e+08 3.4787999341246891e+08 3.5357086064401323e+08 3.6536088999411947e+08 3.8655979809421211e+08 4.2276170493939215e+08 2.6693751257811993e+08 +4.6062687562521338e+00 2.1670720045507094e+08 2.1669231785676181e+08 2.1666714849426442e+08 2.1663692738554591e+08 2.1661311269207555e+08 2.1661138958634803e+08 2.1663787005198154e+08 2.1668132369565317e+08 2.1673162488267872e+08 2.1678831399247554e+08 2.1685445491873264e+08 2.1693195466560984e+08 2.1702258479417434e+08 2.1712869391476095e+08 2.1725310279031777e+08 2.1739901482980704e+08 2.1757034754633144e+08 2.1777186491143200e+08 2.1800920215194279e+08 2.1828894503120041e+08 2.1861880401507160e+08 2.1900782741781598e+08 2.1946753789856812e+08 2.2001744889231622e+08 2.2068453794935614e+08 2.2148469667352608e+08 2.2242984578458998e+08 2.2354054542380399e+08 2.2484366316842139e+08 2.2637055227560952e+08 2.2815713866223368e+08 2.3024432402344033e+08 2.3267839322292328e+08 2.3551134607685375e+08 2.3880109566596463e+08 2.4261139567740750e+08 2.4701143327660474e+08 2.5207486703231043e+08 2.5787815285934711e+08 2.6449779349775943e+08 2.7260301494070894e+08 2.8181147606550699e+08 2.9217621178672802e+08 3.0371176493631554e+08 3.1637690880759072e+08 3.3005587752249736e+08 3.4454109422242147e+08 3.5952219004199761e+08 3.7458797828795213e+08 3.8924370709751332e+08 4.0294546313172477e+08 4.1519055145664603e+08 4.2558871172759724e+08 4.3385259598432577e+08 4.3988502529559159e+08 4.4378073540648389e+08 4.4577052284754026e+08 4.4618055333109283e+08 4.4536113100094968e+08 4.4367419267723721e+08 4.4140872223921114e+08 4.3882915994772524e+08 4.3610665663013041e+08 4.3340599424110317e+08 4.3080914503310651e+08 4.2837215088679099e+08 4.2614836736868286e+08 4.2413773969539475e+08 4.2232888839792383e+08 4.2072706699004954e+08 4.1929379413713866e+08 4.1803276996760094e+08 4.1692105809738511e+08 4.1595484762276042e+08 4.1510499846448797e+08 4.1433277687353611e+08 4.1363208671145606e+08 4.1298314425051558e+08 4.1234525773669958e+08 4.1188559244947469e+08 4.1141876530353010e+08 4.1094127760490620e+08 4.1044072105248976e+08 4.0992421411497611e+08 4.0937495488690692e+08 4.0882165179945415e+08 4.0820007853025633e+08 4.0753489940754902e+08 4.0681388349857843e+08 4.0602748024096864e+08 4.0516408363270271e+08 4.0421061957956934e+08 4.0314626581883776e+08 4.0198344103512847e+08 4.0066365621237218e+08 3.9918400817894214e+08 3.9752303467726219e+08 3.9565763821473056e+08 3.9356399993839073e+08 3.9121822776314700e+08 3.8859193474587077e+08 3.8569857729963267e+08 3.8247359789332503e+08 3.7893400992096478e+08 3.7508799939006335e+08 3.7096573026455969e+08 3.6661852346328515e+08 3.6214406185355908e+08 3.5768589894657379e+08 3.5349120614245439e+08 3.4984657804543078e+08 3.4722630417841697e+08 3.4628169084574205e+08 3.4796535896307153e+08 3.5365762132855517e+08 3.6545054242365378e+08 3.8665465862823194e+08 4.2286542757393610e+08 2.6646251170693883e+08 +4.6112370790263917e+00 2.1796877147930720e+08 2.1795374403960830e+08 2.1792834105296269e+08 2.1789781642792627e+08 2.1787370538534945e+08 2.1787181242464241e+08 2.1789830053714582e+08 2.1794185090177491e+08 2.1799224850414833e+08 2.1804901587210724e+08 2.1811522744204339e+08 2.1819279142509836e+08 2.1828347674220577e+08 2.1838963065101999e+08 2.1851407346735847e+08 2.1866000726680225e+08 2.1883134820992881e+08 2.1903285917773131e+08 2.1927017416111812e+08 2.1954987721186930e+08 2.1987967657243535e+08 2.2026861723034856e+08 2.2072821442008471e+08 2.2127796809669065e+08 2.2194485606384251e+08 2.2274477261251527e+08 2.2368962316115433e+08 2.2479995029634735e+08 2.2610260286342236e+08 2.2762891059591016e+08 2.2941476907718745e+08 2.3150104067653096e+08 2.3393395917379948e+08 2.3676545802112460e+08 2.4005336420029417e+08 2.4386131975283405e+08 2.4825836761669070e+08 2.5331798085852677e+08 2.5911637857891494e+08 2.6572976378058684e+08 2.7382631040557224e+08 2.8302350878048140e+08 2.9337369315836585e+08 3.0489058196918154e+08 3.1753202300081027e+08 3.3118127913106084e+08 3.4562985540616715e+08 3.6056666464285713e+08 3.7558018658151835e+08 3.9017590685666269e+08 4.0381087527583885e+08 4.1598407830682707e+08 4.2630752297146535e+08 4.3449649085759795e+08 4.4045635216930646e+08 4.4428399752234364e+08 4.4621173678822631e+08 4.4656654484527385e+08 4.4569890968865150e+08 4.4397046347719735e+08 4.4166962457056624e+08 4.3906011585288304e+08 4.3631238319549286e+08 4.3359051934070861e+08 4.3097591792000568e+08 4.2852412507243890e+08 4.2628806253939027e+08 4.2426734882426161e+08 4.2245031371216154e+08 4.2084195744822162e+08 4.1940360701460248e+08 4.1813873936253899e+08 4.1702423668872714e+08 4.1605609154009241e+08 4.1520496507609928e+08 4.1443195767761284e+08 4.1373079069089961e+08 4.1308154425426561e+08 4.1244344892126364e+08 4.1198366107197177e+08 4.1151671842202061e+08 4.1103911642353231e+08 4.1053844149040478e+08 4.1002181283656460e+08 4.0947243005998641e+08 4.0891897932675403e+08 4.0829725950717348e+08 4.0763192344558036e+08 4.0691073729579502e+08 4.0612414822021055e+08 4.0526054745319092e+08 4.0430685778546482e+08 4.0324225774728018e+08 4.0207914043811882e+08 4.0075904279391170e+08 3.9927904386547196e+08 3.9761767628227293e+08 3.9575183705323803e+08 3.9365770165065670e+08 3.9131137230061138e+08 3.8868446084207487e+08 3.8579039943140066e+08 3.8256465355794269e+08 3.7902422419477326e+08 3.7517729930008680e+08 3.7105405001541620e+08 3.6670580947622931e+08 3.6223028380760318e+08 3.5777106579418468e+08 3.5357536046679127e+08 3.4992986592966944e+08 3.4730896947527707e+08 3.4636413742334926e+08 3.4804820766650015e+08 3.5374182399895954e+08 3.6553755154478288e+08 3.8674672246158683e+08 4.2296609167190999e+08 2.6598749465492070e+08 +4.6162054018006495e+00 2.1922782171526510e+08 2.1921265395712671e+08 2.1918701345645988e+08 2.1915618621685711e+08 2.1913177945843518e+08 2.1912971657255575e+08 2.1915621199218762e+08 2.1919985839951235e+08 2.1925035163767397e+08 2.1930719638465333e+08 2.1937347759886521e+08 2.1945110464937142e+08 2.1954184380503324e+08 2.1964804092567837e+08 2.1977251584717584e+08 2.1991846926285344e+08 2.2008981592330477e+08 2.2029131755119985e+08 2.2052860681931877e+08 2.2080826597097868e+08 2.2113800091585842e+08 2.2152685318191510e+08 2.2198633041510761e+08 2.2253591881098357e+08 2.2320259603166893e+08 2.2400225882083166e+08 2.2494679712857005e+08 2.2605673569325334e+08 2.2735890424393198e+08 2.2888460854185766e+08 2.3066971332499737e+08 2.3275504105616736e+08 2.3518677377904716e+08 2.3801677785317847e+08 2.4130279335989338e+08 2.4510834982516026e+08 2.4950234503619698e+08 2.5455806560564655e+08 2.6035149288079354e+08 2.6695852926432347e+08 2.7504628763868409e+08 2.8423209581336528e+08 2.9456758755498064e+08 3.0606565802833766e+08 3.1868323198215246e+08 3.3230260521855187e+08 3.4671437083085257e+08 3.6160673146587175e+08 3.7656784304843891e+08 3.9110343913287270e+08 4.0467154225929320e+08 4.1677282719356203e+08 4.2702157096165407e+08 4.3513568251892614e+08 4.4102307452868658e+08 4.4478278255418915e+08 4.4664861879272956e+08 4.4694835690314001e+08 4.4603266029356831e+08 4.4426285035460591e+08 4.4192677623315519e+08 4.3928744149722880e+08 4.3651458656945622e+08 4.3377161515988201e+08 4.3113934306781578e+08 4.2867282166677201e+08 4.2642453984461433e+08 4.2439379043947858e+08 4.2256861355400491e+08 4.2095375702700806e+08 4.1951035709706587e+08 4.1824166833891338e+08 4.1712439234980416e+08 4.1615432588786042e+08 4.1530193227879405e+08 4.1452814690130115e+08 4.1382650930772692e+08 4.1317696413767660e+08 4.1253866480104959e+08 4.1207875775609905e+08 4.1161170298645180e+08 4.1113399013599873e+08 4.1063320043078393e+08 4.1011645378254032e+08 4.0956695139422899e+08 4.0901335706566125e+08 4.0839149517583275e+08 4.0772600696957153e+08 4.0700465577636689e+08 4.0621788655148119e+08 4.0535408784987044e+08 4.0440017944232607e+08 4.0333534078040940e+08 4.0217193939301598e+08 4.0085153844521171e+08 3.9937119929252326e+08 3.9770944960799730e+08 3.9584318106633335e+08 3.9374856363892639e+08 3.9140169403503019e+08 3.8877418305954200e+08 3.8587943861675924e+08 3.8265294954054350e+08 3.7911170432139415e+08 3.7526389280851144e+08 3.7113969310348076e+08 3.6679045018834412e+08 3.6231389274070925e+08 3.5785365176550967e+08 3.5365696423221153e+08 3.5001062954751974e+08 3.4738912940737760e+08 3.4644408542951584e+08 3.4812854564555150e+08 3.5382347487731934e+08 3.6562192378821456e+08 3.8683599639728338e+08 4.2306370467456812e+08 2.6551246618301973e+08 +4.6211737245749074e+00 2.2048433835631391e+08 2.2046902784055698e+08 2.2044315350279978e+08 2.2041202258299965e+08 2.2038732079018295e+08 2.2038508805000243e+08 2.2041159044037217e+08 2.2045533221056545e+08 2.2050592030513000e+08 2.2056284155093202e+08 2.2062919141221574e+08 2.2070688036348611e+08 2.2079767200936648e+08 2.2090391076866552e+08 2.2102841596235144e+08 2.2117438685517117e+08 2.2134573672896835e+08 2.2154722608033690e+08 2.2178448618221930e+08 2.2206409737363264e+08 2.2239376312061521e+08 2.2278252136063823e+08 2.2324187198659813e+08 2.2379128715668947e+08 2.2445774399717376e+08 2.2525714147072184e+08 2.2620135389142108e+08 2.2731088785786238e+08 2.2861255359936187e+08 2.3013763245761400e+08 2.3192195781541875e+08 2.3400631165016153e+08 2.3643682361907652e+08 2.3926529226425245e+08 2.4254936996792552e+08 2.4635247287624425e+08 2.5074335270689154e+08 2.5579510867305288e+08 2.6158348343758717e+08 2.6818407794908306e+08 2.7626293506686866e+08 2.8543722610868537e+08 2.9575788454766071e+08 3.0723698343897599e+08 3.1983052697823101e+08 3.3341984807335293e+08 3.4779463401590824e+08 3.6264238542631829e+08 3.7755094414325207e+08 3.9202630201967520e+08 4.0552746385357296e+08 4.1755679952686393e+08 4.2773085862857938e+08 4.3577017523376602e+08 4.4158519774499553e+08 4.4527709673383832e+08 4.4708117572280973e+08 4.4732599679368794e+08 4.4636239037251174e+08 4.4455136101362514e+08 4.4218018499602711e+08 4.3951114466103542e+08 4.3671327450968343e+08 4.3394928941652578e+08 4.3129942814656103e+08 4.2881824828770447e+08 4.2655780685380054e+08 4.2451707206553781e+08 4.2268379540601981e+08 4.2106247317313200e+08 4.1961405180002946e+08 4.1834156428387564e+08 4.1722153244593155e+08 4.1624955801083177e+08 4.1539590740105879e+08 4.1462135185896522e+08 4.1391924986349058e+08 4.1326941119030827e+08 4.1263091265490556e+08 4.1217088977159292e+08 4.1170372625937337e+08 4.1122590599574685e+08 4.1072500511862874e+08 4.1020814418886334e+08 4.0965852611613244e+08 4.0910479223290151e+08 4.0848279274130434e+08 4.0781715717277998e+08 4.0709564612041438e+08 4.0630870240179294e+08 4.0544471197488910e+08 4.0449059168492079e+08 4.0342552203371042e+08 4.0226184499557376e+08 4.0094115023834723e+08 3.9946048150667268e+08 3.9779836167053187e+08 3.9593167723814875e+08 3.9383659285071814e+08 3.9148919987195396e+08 3.8886110825772470e+08 3.8596570166354537e+08 3.8273849259206259e+08 3.7919645698926330e+08 3.7534778653571224e+08 3.7122266607629144e+08 3.6687245207092589e+08 3.6239489504623741e+08 3.5793366317423528e+08 3.5373602367797023e+08 3.5008887507423657e+08 3.4746679010405743e+08 3.4652154097657984e+08 3.4820637904172564e+08 3.5390258020623463e+08 3.6570366560412270e+08 3.8692248726075727e+08 4.2315827404562211e+08 2.6503743103022289e+08 +4.6261420473491652e+00 2.2173830522251087e+08 2.2172285168720153e+08 2.2169674419901848e+08 2.2166531223826456e+08 2.2164031530122265e+08 2.2163791299224570e+08 2.2166442199329868e+08 2.2170825844906059e+08 2.2175894061914459e+08 2.2181593748434997e+08 2.2188235499729347e+08 2.2196010468510860e+08 2.2205094747522500e+08 2.2215722630181459e+08 2.2228175993832690e+08 2.2242774617321429e+08 2.2259909676103377e+08 2.2280057090601292e+08 2.2303779839847055e+08 2.2331735757707933e+08 2.2364694935493401e+08 2.2403560794729733e+08 2.2449482533107820e+08 2.2504405934907061e+08 2.2571028619835287e+08 2.2650940682721257e+08 2.2745327974784595e+08 2.2856239312772718e+08 2.2986353731373709e+08 2.3138796878283980e+08 2.3317148905335361e+08 2.3525483904188982e+08 2.3768409537052414e+08 2.4051098804238403e+08 2.4379308094610450e+08 2.4759367598681784e+08 2.5198137790022704e+08 2.5702909756128255e+08 2.6281233802415434e+08 2.6940639793976277e+08 2.7747624122198832e+08 2.8663888871794361e+08 2.9694457381616920e+08 3.0840454863747847e+08 3.2097389932674372e+08 3.3453300009556746e+08 3.4887063859298640e+08 3.6367362155051786e+08 3.7852948642914051e+08 3.9294449371649331e+08 4.0637863992939359e+08 4.1833599680916822e+08 4.2843538898796296e+08 4.3639997334603727e+08 4.4214272725917244e+08 4.4576694635594332e+08 4.4750941449459964e+08 4.4769947185539103e+08 4.4668810752490342e+08 4.4483600319840503e+08 4.4242985866485322e+08 4.3973123315753675e+08 4.3690845480578178e+08 4.3412354985794669e+08 4.3145618085272551e+08 4.2896041258127421e+08 4.2668787116288924e+08 4.2463720125182277e+08 4.2279586677627969e+08 4.2116811335783941e+08 4.1971469856232035e+08 4.1843843461001444e+08 4.1731566436511767e+08 4.1634179527811414e+08 4.1548689779448122e+08 4.1471157988740426e+08 4.1400901968211156e+08 4.1335889272472817e+08 4.1272019978363037e+08 4.1226006441157979e+08 4.1179279552490944e+08 4.1131487127930737e+08 4.1081386282093239e+08 4.1029689131384403e+08 4.0974716147373307e+08 4.0919329206714493e+08 4.0857115943123972e+08 4.0790538127180547e+08 4.0718371553143162e+08 4.0639660295997173e+08 4.0553242700197119e+08 4.0457810167075783e+08 4.0351280864625514e+08 4.0234886436368328e+08 4.0102788526776588e+08 3.9954689757573235e+08 3.9788441950905073e+08 3.9601733257434738e+08 3.9392179625355840e+08 3.9157389673819214e+08 3.8894524331703138e+08 3.8604919540145826e+08 3.8282128948517036e+08 3.7927848890742683e+08 3.7542898712308544e+08 3.7130297550296104e+08 3.6695182161543196e+08 3.6247329713565522e+08 3.5801110635375905e+08 3.5381254506349558e+08 3.5016460870437074e+08 3.4754195771304792e+08 3.4659651019561332e+08 3.4828171401678622e+08 3.5397914624781394e+08 3.6578278346359903e+08 3.8700620189783329e+08 4.2324980727220851e+08 2.6456239391357923e+08 +4.6311103701234231e+00 2.2298971012417144e+08 2.2297411726516479e+08 2.2294777483544871e+08 2.2291604085347658e+08 2.2289074926844257e+08 2.2288817763420579e+08 2.2291469285221761e+08 2.2295862332089758e+08 2.2300939878467855e+08 2.2306647039076629e+08 2.2313295456134951e+08 2.2321076382359922e+08 2.2330165641364253e+08 2.2340797373972657e+08 2.2353253399297523e+08 2.2367853343895194e+08 2.2384988224704960e+08 2.2405133826145515e+08 2.2428852970880225e+08 2.2456803283106142e+08 2.2489754587940043e+08 2.2528609921554244e+08 2.2574517673764142e+08 2.2629422169615975e+08 2.2696020896634886e+08 2.2775904124960825e+08 2.2870256108987179e+08 2.2981123793419126e+08 2.3111184186522934e+08 2.3263560405136323e+08 2.3441829363919863e+08 2.3650060991051298e+08 2.3892857580657107e+08 2.4175385207305872e+08 2.4503391331391230e+08 2.4883194633668658e+08 2.5321640798788485e+08 2.5826001987160474e+08 2.6403804451771852e+08 2.7062547744408107e+08 2.7868619474143577e+08 2.8783707279907477e+08 2.9812764514886802e+08 3.0956834416937244e+08 3.2211334047642839e+08 3.3564205379811430e+08 3.4994237830512613e+08 3.6470043497577339e+08 3.7950346657708627e+08 3.9385801252658969e+08 4.0722507045752913e+08 4.1911042063621145e+08 4.2913516514134312e+08 4.3702508127501875e+08 4.4269566858092874e+08 4.4625233777583879e+08 4.4793334207851088e+08 4.4806878947413570e+08 4.4700981939395106e+08 4.4511678469195914e+08 4.4267580508123565e+08 4.3994771483400434e+08 4.3710013527793789e+08 4.3429440426079470e+08 4.3160960891177171e+08 4.2909932221939778e+08 4.2681474039300913e+08 4.2475418557274204e+08 4.2290483519680876e+08 4.2127068507665658e+08 4.1981230484663582e+08 4.1853228675163603e+08 4.1740679551800573e+08 4.1643104508059108e+08 4.1557491083386922e+08 4.1479883834679091e+08 4.1409582611160982e+08 4.1344541607596517e+08 4.1280653351091951e+08 4.1234628899211627e+08 4.1187891809049302e+08 4.1140089328518963e+08 4.1089978082842135e+08 4.1038270243851238e+08 4.0983286473825270e+08 4.0927886382961494e+08 4.0865660249618703e+08 4.0799068650387871e+08 4.0726887123516905e+08 4.0648159543820840e+08 4.0561724012764025e+08 4.0466271657856894e+08 4.0359720777785325e+08 4.0243300463712531e+08 4.0111175064978993e+08 3.9963045458997482e+08 3.9796763018349594e+08 3.9610015410200781e+08 3.9400418083880508e+08 3.9165579158253920e+08 3.8902659513921601e+08 3.8612992668072855e+08 3.8290134701263332e+08 3.7935780680690891e+08 3.7550750123307133e+08 3.7138062797204024e+08 3.6702856533340067e+08 3.6254910544161963e+08 3.5808598765700477e+08 3.5388653466701537e+08 3.5023783665176368e+08 3.4761463840194905e+08 3.4666899923748052e+08 3.4835455675099009e+08 3.5405317928341663e+08 3.6585928385759765e+08 3.8708714717616332e+08 4.2333831186509627e+08 2.6408735952822915e+08 +4.6360786928976809e+00 2.2423854031948537e+08 2.2422280761904657e+08 2.2419622963344324e+08 2.2416419484743577e+08 2.2413860915308741e+08 2.2413586829025197e+08 2.2416238930843806e+08 2.2420641312369823e+08 2.2425728109764153e+08 2.2431442656839916e+08 2.2438097640343904e+08 2.2445884408098543e+08 2.2454978512831643e+08 2.2465613938883686e+08 2.2478072443594316e+08 2.2492673496664494e+08 2.2509807950634855e+08 2.2529951447275659e+08 2.2553666644658339e+08 2.2581610947822878e+08 2.2614553904748115e+08 2.2653398153176722e+08 2.2699291258823231e+08 2.2754176059891951e+08 2.2820749872544876e+08 2.2900603118978453e+08 2.2994918440332517e+08 2.3105740880268741e+08 2.3235745382651445e+08 2.3388052489164230e+08 2.3566235826836476e+08 2.3774361103087273e+08 2.4017025179695076e+08 2.4299387133886340e+08 2.4627185418862450e+08 2.5006727120421293e+08 2.5444843044127893e+08 2.5948786330676550e+08 2.6526059089797738e+08 2.7184130477387875e+08 2.7989278436801314e+08 2.8903176761737418e+08 2.9930708844241297e+08 3.1072836069023883e+08 3.2324884198749274e+08 3.3674700180441141e+08 3.5100984700724787e+08 3.6572282094918352e+08 3.8047288136691588e+08 3.9476685685735923e+08 4.0806675550675774e+08 4.1988007269522095e+08 4.2983019027432978e+08 4.3764550351808965e+08 4.4324402728835797e+08 4.4673327740995830e+08 4.4835296549943477e+08 4.4843395708451343e+08 4.4732753366672516e+08 4.4539371331662494e+08 4.4291803212160331e+08 4.4016059757041699e+08 4.3728832377711058e+08 4.3446186043080884e+08 4.3175972007740349e+08 4.2923498490060759e+08 4.2693842219085783e+08 4.2486803262725890e+08 4.2301070822403878e+08 4.2137019584744859e+08 4.1990687813924086e+08 4.1862312816679871e+08 4.1749493333908910e+08 4.1651731483277082e+08 4.1565995391636753e+08 4.1488313461957991e+08 4.1417967652004528e+08 4.1352898860217237e+08 4.1288992118329912e+08 4.1242957085071719e+08 4.1196210128596079e+08 4.1148397933463681e+08 4.1098276645294988e+08 4.1046558486563182e+08 4.0991564320257837e+08 4.0936151480351907e+08 4.0873912920818233e+08 4.0807308013039148e+08 4.0735112047900444e+08 4.0656368706940401e+08 4.0569915856993413e+08 4.0474444360976160e+08 4.0367872661086637e+08 4.0251427297692120e+08 4.0119275352251697e+08 3.9971115966079193e+08 3.9804800077672493e+08 3.9618014887063372e+08 3.9408375361714906e+08 3.9173489137447697e+08 3.8910517064788997e+08 3.8620790237275308e+08 3.8297867198840696e+08 3.7943441743813634e+08 3.7558333554763567e+08 3.7145563009236157e+08 3.6710268975694311e+08 3.6262232641562897e+08 3.5815831345647418e+08 3.5395799878625929e+08 3.5030856514894891e+08 3.4768483835623127e+08 3.4673901427100146e+08 3.4842491344322580e+08 3.5412468561366105e+08 3.6593317329648751e+08 3.8716532998424661e+08 4.2342379535807121e+08 2.6361233254743585e+08 +4.6410470156719388e+00 2.2548477721015355e+08 2.2546890607629669e+08 2.2544209759692681e+08 2.2540976030582899e+08 2.2538388152814195e+08 2.2538097134443510e+08 2.2540749774674192e+08 2.2545161424723342e+08 2.2550257394591781e+08 2.2555979240788019e+08 2.2562640691506150e+08 2.2570433185122406e+08 2.2579532001529458e+08 2.2590170964811078e+08 2.2602631766953391e+08 2.2617233716271928e+08 2.2634367495081705e+08 2.2654508595774341e+08 2.2678219503750747e+08 2.2706157395351842e+08 2.2739091530508223e+08 2.2777924135526064e+08 2.2823801935799834e+08 2.2878666255174211e+08 2.2945214199330670e+08 2.3025036319403794e+08 2.3119313626767832e+08 2.3230089235244313e+08 2.3360035986452442e+08 2.3512271802741060e+08 2.3690366973128587e+08 2.3898382927334508e+08 2.4140911030735305e+08 2.4423103291900441e+08 2.4750689078505316e+08 2.5129963796664977e+08 2.5567743283146361e+08 2.6071261566977298e+08 2.6647996524645844e+08 2.7305386834446949e+08 2.8109599894920045e+08 2.9022296254442650e+08 3.0048289370118707e+08 3.1188458896524274e+08 3.2438039553007251e+08 3.3784783684928447e+08 3.5207303866543686e+08 3.6674077482841730e+08 3.8143772768563193e+08 3.9567102522029489e+08 4.0890369524473304e+08 4.2064495476613343e+08 4.3052046765646881e+08 4.3826124464825541e+08 4.4378780902756649e+08 4.4720977173559982e+08 4.4876829183479047e+08 4.4879498216798294e+08 4.4764125807165414e+08 4.4566679693278933e+08 4.4315654769849837e+08 4.4036988927885878e+08 4.3747302818509883e+08 4.3462592620196635e+08 4.3190652212909746e+08 4.2936740835038537e+08 4.2705892422924984e+08 4.2497875003928334e+08 4.2311349343789381e+08 4.2146665321318382e+08 4.1999842594838291e+08 4.1871096633576035e+08 4.1758008528472638e+08 4.1660061197050524e+08 4.1574203446135455e+08 4.1496447610998428e+08 4.1426057830007279e+08 4.1360961768234807e+08 4.1297037016883069e+08 4.1250991734733659e+08 4.1204235246304846e+08 4.1156413677087146e+08 4.1106282702804935e+08 4.1054554591990423e+08 4.0999550418260008e+08 4.0944125229416955e+08 4.0881874686097580e+08 4.0815256943291461e+08 4.0743047053209603e+08 4.0664288510942417e+08 4.0577818956840670e+08 4.0482328998727220e+08 4.0375737234895194e+08 4.0259267656608778e+08 4.0127090104488331e+08 3.9978901992128623e+08 3.9812553839124721e+08 3.9625732394916582e+08 3.9416052162170500e+08 3.9181120310503328e+08 3.8918097678584677e+08 3.8628312936923283e+08 3.8305327124711865e+08 3.7950832757264817e+08 3.7565649676936835e+08 3.7152798849271810e+08 3.6717420143592632e+08 3.6269296652891243e+08 3.5822809014354700e+08 3.5402694373755944e+08 3.5037680044727963e+08 3.4775256378126770e+08 3.4680656148400438e+08 3.4849279031142360e+08 3.5419367155803925e+08 3.6600445831070769e+08 3.8724075723077947e+08 4.2350626530668414e+08 2.6313731762261525e+08 +4.6460153384461966e+00 2.2672841441542128e+08 2.2671240142316213e+08 2.2668535988378128e+08 2.2665272390430599e+08 2.2662655294220191e+08 2.2662347326075572e+08 2.2665000464768752e+08 2.2669421317345461e+08 2.2674526380957022e+08 2.2680255439237010e+08 2.2686923257988018e+08 2.2694721362063158e+08 2.2703824756249300e+08 2.2714467100867569e+08 2.2726930018817732e+08 2.2741532652603921e+08 2.2758665508456874e+08 2.2778803922725272e+08 2.2802510199982771e+08 2.2830441278465402e+08 2.2863366119108436e+08 2.2902186523825225e+08 2.2948048361478686e+08 2.3002891414151815e+08 2.3069412538073575e+08 2.3149202390121707e+08 2.3243440335596719e+08 2.3354167529718891e+08 2.3484054674033496e+08 2.3636217027640328e+08 2.3814221491386062e+08 2.4022125160439649e+08 2.4264513839982244e+08 2.4546532399024054e+08 2.4873901041652101e+08 2.5252903410001817e+08 2.5690340282910278e+08 2.6193426486514181e+08 2.6769615574668166e+08 2.7426315667426699e+08 2.8229582743724686e+08 2.9141064705842191e+08 3.0165505103825176e+08 3.1303701986887813e+08 3.2550799288505822e+08 3.3894455177924246e+08 3.5313194735571474e+08 3.6775429207991099e+08 3.8239800252662677e+08 3.9657051622979528e+08 4.0973588993631887e+08 4.2140506871978396e+08 4.3120600064159840e+08 4.3887230931332880e+08 4.4432701951220489e+08 4.4768182728892028e+08 4.4917932821601719e+08 4.4915187225392425e+08 4.4795100038063937e+08 4.4593604343925387e+08 4.4339135975933158e+08 4.4057559790430307e+08 4.3765425641298348e+08 4.3478660943776816e+08 4.3205002287482011e+08 4.2949660031953150e+08 4.2717625420495456e+08 4.2508634545701659e+08 4.2321319844288415e+08 4.2156006473843491e+08 4.2008695580688018e+08 4.1879580876224083e+08 4.1766225883358324e+08 4.1668094395271391e+08 4.1582115990959692e+08 4.1504287024475414e+08 4.1433853886443132e+08 4.1368731071859449e+08 4.1304788785697174e+08 4.1258733586348993e+08 4.1211967899466819e+08 4.1164137295812464e+08 4.1113996990996403e+08 4.1062259294807649e+08 4.1007245501404113e+08 4.0951808362796229e+08 4.0889546277030957e+08 4.0822916171548712e+08 4.0750692868504316e+08 4.0671919683439803e+08 4.0585434038444591e+08 4.0489926295489949e+08 4.0383315221733063e+08 4.0266822260912609e+08 4.0134620039778030e+08 3.9986404252521127e+08 3.9820025015163130e+08 3.9633168642928201e+08 3.9423449190510249e+08 3.9188473378488344e+08 3.8925402051794326e+08 3.8635561458305901e+08 3.8312515164298457e+08 3.7957954400107259e+08 3.7572699162025684e+08 3.7159770982124650e+08 3.6724310694188935e+08 3.6276103227146721e+08 3.5829532412835145e+08 3.5409337585592341e+08 3.5044254881656462e+08 3.4781782089870363e+08 3.4687164708214402e+08 3.4855819359152848e+08 3.5426014345448321e+08 3.6607314544948173e+08 3.8731343584553772e+08 4.2358572928978187e+08 2.6266231938336727e+08 +4.6509836612204545e+00 2.2796943288865945e+08 2.2795328169227996e+08 2.2792600806485507e+08 2.2789307215539035e+08 2.2786660968945596e+08 2.2786336060573083e+08 2.2788989658939627e+08 2.2793419647528282e+08 2.2798533726052374e+08 2.2804269909751114e+08 2.2810943997340763e+08 2.2818747596724775e+08 2.2827855434992573e+08 2.2838501005376327e+08 2.2850965857891706e+08 2.2865568964770791e+08 2.2882700650404540e+08 2.2902836088402051e+08 2.2926537394473973e+08 2.2954461259179345e+08 2.2987376333663154e+08 2.3026183982492805e+08 2.3072029201923969e+08 2.3126850204837397e+08 2.3193343559133539e+08 2.3273100004393402e+08 2.3367297243489486e+08 2.3477974444370696e+08 2.3607800130949759e+08 2.3759886855158642e+08 2.3937798079671928e+08 2.4145586508567926e+08 2.4387832323290864e+08 2.4669673182581365e+08 2.4996820049315086e+08 2.5375544717834607e+08 2.5812632820460922e+08 2.6315279889715970e+08 2.6890915068440789e+08 2.7546915838511705e+08 2.8349225888931710e+08 2.9259481074356288e+08 3.0282355067372036e+08 3.1418564438455802e+08 3.2663162594377142e+08 3.4003713955060524e+08 3.5418656726523197e+08 3.6876336828009993e+08 3.8335370299092394e+08 3.9746532860329783e+08 4.1056333994507277e+08 4.2216041651718199e+08 4.3188679266640240e+08 4.3947870223697472e+08 4.4486166452292216e+08 4.4814945066586465e+08 4.4958608182634068e+08 4.4950463491826034e+08 4.4825676840623921e+08 4.4620146077312779e+08 4.4362247628522080e+08 4.4077773142266548e+08 4.3783201640285802e+08 4.3494391802875304e+08 4.3219023014779347e+08 4.2962256858388257e+08 4.2729041983971494e+08 4.2519082655228788e+08 4.2330983086609435e+08 4.2165043801183820e+08 4.2017247526791185e+08 4.1887766297109503e+08 4.1774146148637813e+08 4.1675831825959700e+08 4.1589733772501147e+08 4.1511832447196251e+08 4.1441356564784425e+08 4.1376207513322765e+08 4.1312248165946156e+08 4.1266183380244970e+08 4.1219408827548045e+08 4.1171569528297716e+08 4.1121420247561753e+08 4.1069673331763160e+08 4.1014650305539423e+08 4.0959201615328151e+08 4.0896928427310866e+08 4.0830286430252963e+08 4.0758050225037670e+08 4.0679262954236883e+08 4.0592761830051005e+08 4.0497236977808410e+08 4.0390607346200264e+08 4.0274091833098590e+08 4.0141865878244591e+08 3.9993623464769602e+08 3.9827214320265847e+08 3.9640324342169124e+08 3.9430567154161054e+08 3.9195549044623846e+08 3.8932430882837683e+08 3.8642536494629943e+08 3.8319432005102354e+08 3.7964807353455675e+08 3.7579482684203720e+08 3.7166480074591082e+08 3.6730941286364603e+08 3.6282653015262485e+08 3.5836002183994222e+08 3.5415730149527311e+08 3.5050581654495883e+08 3.4788061595019686e+08 3.4693427728972548e+08 3.4862112953795362e+08 3.5432410765971535e+08 3.6613924128155988e+08 3.8738337277814597e+08 4.2366219490731025e+08 2.6218734243750682e+08 +4.6559519839947123e+00 2.2920782391931731e+08 2.2919153097239521e+08 2.2916402759143603e+08 2.2913079227616152e+08 2.2910403816477728e+08 2.2910062006016579e+08 2.2912716024468526e+08 2.2917155081863657e+08 2.2922278096356800e+08 2.2928021319073418e+08 2.2934701576342326e+08 2.2942510556151238e+08 2.2951622705035046e+08 2.2962271345905870e+08 2.2974737952022558e+08 2.2989341321126920e+08 2.3006471589829418e+08 2.3026603762333050e+08 2.3050299757505512e+08 2.3078216008733264e+08 2.3111120846560580e+08 2.3149915185285136e+08 2.3195743132460448e+08 2.3250541304548424e+08 2.3317005942240393e+08 2.3396727844815296e+08 2.3490883036448681e+08 2.3601508669336027e+08 2.3731271052160817e+08 2.3883279986011863e+08 2.4061095445596305e+08 2.4268765687487456e+08 2.4510865206097460e+08 2.4792524379550913e+08 2.5119444852314159e+08 2.5497886487465793e+08 2.5934619682792693e+08 2.6436820587157041e+08 2.7011893844664317e+08 2.7667186220170581e+08 2.8468528246721804e+08 2.9377544329011589e+08 3.0398838293578941e+08 3.1533045360472375e+08 3.2775128670660448e+08 3.4112559323040849e+08 3.5523689269149292e+08 3.6976799911335665e+08 3.8430482628511912e+08 3.9835546116006953e+08 4.1138604572993612e+08 4.2291100021020454e+08 4.3256284725041151e+08 4.4008042821738404e+08 4.4539174990670019e+08 4.4861264852156699e+08 4.4998855990255392e+08 4.4985327778258961e+08 4.4855857000318104e+08 4.4646305690759730e+08 4.4384990529275626e+08 4.4097629784297597e+08 4.3800631612586170e+08 4.3509785989363122e+08 4.3232715180902398e+08 4.2974532094546431e+08 4.2740142888001984e+08 4.2529220102028310e+08 4.2340339835714048e+08 4.2173778064407492e+08 4.2025499190868175e+08 4.1895653650945944e+08 4.1781770076600724e+08 4.1683274239282781e+08 4.1597057539148515e+08 4.1519084626071179e+08 4.1448566610715634e+08 4.1383391837098217e+08 4.1319415900928181e+08 4.1273341858870322e+08 4.1226558772148621e+08 4.1178711115268373e+08 4.1128553212358212e+08 4.1076797441809475e+08 4.1021765568568069e+08 4.0966305723864448e+08 4.0904021872731048e+08 4.0837368454048038e+08 4.0765119856031901e+08 4.0686319055200899e+08 4.0599803061935937e+08 4.0504261774260646e+08 4.0397614334952790e+08 4.0281077097764677e+08 4.0148828342113310e+08 4.0000560348384386e+08 3.9834122470990539e+08 3.9647200205891085e+08 3.9437406762530768e+08 3.9202348014054567e+08 3.8939184872142309e+08 3.8649238741122454e+08 3.8326078336475557e+08 3.7971392300346857e+08 3.7586000919597512e+08 3.7172926795328683e+08 3.6737312580986983e+08 3.6288946669982207e+08 3.5842218972596252e+08 3.5421872702709699e+08 3.5056660993840569e+08 3.4794095519470948e+08 3.4699445834846205e+08 3.4868160442264938e+08 3.5438557054846573e+08 3.6620275239424556e+08 3.8745057499824250e+08 4.2373566978232628e+08 2.6171239137109610e+08 +4.6609203067689702e+00 2.3044356965314689e+08 2.3042713642392749e+08 2.3039940461143836e+08 2.3036587063604531e+08 2.3033882524137673e+08 2.3033523841016662e+08 2.3036178237942323e+08 2.3040626296088791e+08 2.3045758167517594e+08 2.3051508343228945e+08 2.3058194671017286e+08 2.3066008916609392e+08 2.3075125242774731e+08 2.3085776799203473e+08 2.3098244978371453e+08 2.3112848399196255e+08 2.3129977004823568e+08 2.3150105623307005e+08 2.3173795968631786e+08 2.3201704207640702e+08 2.3234598339444548e+08 2.3273378815207183e+08 2.3319188837753636e+08 2.3373963399875250e+08 2.3440398376405513e+08 2.3520084603294253e+08 2.3614196409884453e+08 2.3724768904111639e+08 2.3854466142012471e+08 2.4006395130382392e+08 2.4184112306197780e+08 2.4391661422453371e+08 2.4633611223445189e+08 2.4915084736678147e+08 2.5241774211229473e+08 2.5619927496024552e+08 2.6056299666796646e+08 2.6558047399399221e+08 2.7132550752259082e+08 2.7787125695185101e+08 2.8587488743677497e+08 2.9495253449438459e+08 3.0514953825966680e+08 3.1647143873024899e+08 3.2886696728402495e+08 3.4220990599574482e+08 3.5628291804028642e+08 3.7076818037323326e+08 3.8525136972226876e+08 3.9924091282147551e+08 4.1220400784756041e+08 4.2365682194039202e+08 4.3323416799444085e+08 4.4067749212629545e+08 4.4591728157664812e+08 4.4907142756961340e+08 4.5038676973091185e+08 4.5019780851514256e+08 4.4885641306638891e+08 4.4672083985442913e+08 4.4407365483075476e+08 4.4117130520367157e+08 4.3817716358098000e+08 4.3524844297852004e+08 4.3246079574486321e+08 4.2986486523094112e+08 4.2750928909608096e+08 4.2539047658067369e+08 4.2349390859005624e+08 4.2182210026845574e+08 4.2033451332709134e+08 4.1903243694659531e+08 4.1789098421626574e+08 4.1690422387552661e+08 4.1604088041526073e+08 4.1526044310208964e+08 4.1455484771930057e+08 4.1390284789697778e+08 4.1326292735934091e+08 4.1280209766750956e+08 4.1233418476954186e+08 4.1185562799527490e+08 4.1135396627277613e+08 4.1083632365907001e+08 4.1028592030473244e+08 4.0973121427485847e+08 4.0910827351152724e+08 4.0844162979567009e+08 4.0771902496924424e+08 4.0693088720266545e+08 4.0606558466545647e+08 4.0511001415514147e+08 4.0404336916790974e+08 4.0287778781517172e+08 4.0155508155622864e+08 4.0007215624975383e+08 3.9840750185908949e+08 3.9653796949257457e+08 3.9443968727005160e+08 3.9208870993984276e+08 3.8945664722177958e+08 3.8655668894995588e+08 3.8332454849815053e+08 3.7977709925728512e+08 3.7592254546213061e+08 3.7179111814881122e+08 3.6743425240759236e+08 3.6294984845962101e+08 3.5848183425169623e+08 3.5427765884123158e+08 3.5062493532080889e+08 3.4799884490844762e+08 3.4705219651784974e+08 3.4873962453595799e+08 3.5444453851361734e+08 3.6626368539344043e+08 3.8751504949522662e+08 4.2380616155799288e+08 2.6123747074847576e+08 +4.6658886295432280e+00 2.3167666237390408e+08 2.3166008946384150e+08 2.3163212650525936e+08 2.3159829442437884e+08 2.3157095798483229e+08 2.3156720252487889e+08 2.3159374984770548e+08 2.3163831975085500e+08 2.3168972624500272e+08 2.3174729667412850e+08 2.3181421966614145e+08 2.3189241363549724e+08 2.3198361733880103e+08 2.3209016051274431e+08 2.3221485623270088e+08 2.3236088885819331e+08 2.3253215582731912e+08 2.3273340359332225e+08 2.3297024716684517e+08 2.3324924545682606e+08 2.3357807503223130e+08 2.3396573564516297e+08 2.3442365011671230e+08 2.3497115186722109e+08 2.3563519559919310e+08 2.3643168981080371e+08 2.3737236068509218e+08 2.3847753857554376e+08 2.3977384114346865e+08 2.4129231007901418e+08 2.4306847388099352e+08 2.4514272448307434e+08 2.4756069120010465e+08 2.5037353010261339e+08 2.5363806896351233e+08 2.5741666530477539e+08 2.6177671579321328e+08 2.6678959157064208e+08 2.7252884650253999e+08 2.7906733156604195e+08 2.8706106316849500e+08 2.9612607425847071e+08 3.0630700718769240e+08 3.1760859107051796e+08 3.2997865989569932e+08 3.4329007113316292e+08 3.5732463782859826e+08 3.7176390796057403e+08 3.8619333071979427e+08 4.0012168261002314e+08 4.1301722694923103e+08 4.2439788393810755e+08 4.3390075858221292e+08 4.4126989890947008e+08 4.4643826551175404e+08 4.4952579458101374e+08 4.5078071865089905e+08 4.5053823482900703e+08 4.4915030553280044e+08 4.4697481766085535e+08 4.4429373298303360e+08 4.4136276157550758e+08 4.3834456679769701e+08 4.3539567525651598e+08 4.3259116986711913e+08 4.2998120929201895e+08 4.2761400828205091e+08 4.2548566097501850e+08 4.2358136925969571e+08 4.2190340453995562e+08 4.2041104714357513e+08 4.1910537187266350e+08 4.1796131940212661e+08 4.1697277025257713e+08 4.1610826032276601e+08 4.1532712250702524e+08 4.1462111798223490e+08 4.1396887119719863e+08 4.1332879418488288e+08 4.1286787850492716e+08 4.1239988687744141e+08 4.1192125325982797e+08 4.1141951236344039e+08 4.1090178847095507e+08 4.1035130433336592e+08 4.0979649467196929e+08 4.0917345602503955e+08 4.0850670745553017e+08 4.0778398885046220e+08 4.0699572685446638e+08 4.0613028778242368e+08 4.0517456634253448e+08 4.0410775822406989e+08 4.0294197613023311e+08 4.0161906045006633e+08 4.0013590018075889e+08 3.9847098185607874e+08 3.9660115289445639e+08 3.9450253761037463e+08 3.9215118693522114e+08 3.8951871137291157e+08 3.8661827655372739e+08 3.8338562238417357e+08 3.7983760916490054e+08 3.7598244243946391e+08 3.7185035805746800e+08 3.6749279930230492e+08 3.6300768199644828e+08 3.5853896190097582e+08 3.5433410334530753e+08 3.5068079903367251e+08 3.4805429138567489e+08 3.4710749807467675e+08 3.4879519618506324e+08 3.5450101796563393e+08 3.6632204690349329e+08 3.8757680327761102e+08 4.2387367789963573e+08 2.6076258511229771e+08 +4.6708569523174859e+00 2.3290708023842764e+08 2.3289037148388025e+08 2.3286217919357890e+08 2.3282805003286225e+08 2.3280042337619191e+08 2.3279649934231675e+08 2.3282304959092185e+08 2.3286770812975588e+08 2.3291920161415565e+08 2.3297683986034387e+08 2.3304382157552886e+08 2.3312206591608983e+08 2.3321330873192582e+08 2.3331987797280255e+08 2.3344458582272342e+08 2.3359061476969716e+08 2.3376186020123771e+08 2.3396306667604241e+08 2.3419984699634749e+08 2.3447875721823969e+08 2.3480747038038582e+08 2.3519498134765157e+08 2.3565270357411340e+08 2.3619995370255986e+08 2.3686368200454515e+08 2.3765979688749415e+08 2.3860000726410732e+08 2.3970462247920558e+08 2.4100023692336872e+08 2.4251786347656476e+08 2.4429299427330840e+08 2.4636597509435728e+08 2.4878237650039014e+08 2.5159327966386017e+08 2.5485541687757450e+08 2.5863102387605754e+08 2.6298734237148181e+08 2.6799554700794449e+08 2.7372894407857925e+08 2.8026007507738811e+08 2.8824379913642859e+08 2.9729605258961648e+08 3.0746078036890477e+08 3.1874190204288924e+08 3.3108635687042964e+08 3.4436608203858882e+08 3.5836204668097103e+08 3.7275517788434136e+08 3.8713070680111074e+08 4.0099776964941305e+08 4.1382570378207392e+08 4.2513418852254540e+08 4.3456262277706540e+08 4.4185765358556181e+08 4.4695470775527483e+08 4.4997575638523018e+08 4.5117041405198008e+08 4.5087456448375368e+08 4.4944025537847966e+08 4.4722499841118985e+08 4.4451014786536109e+08 4.4155067505928606e+08 4.3850853383410788e+08 4.3553956472862518e+08 4.3271828211431813e+08 4.3009436100389749e+08 4.2771559425573695e+08 4.2557776196781105e+08 4.2366578808429801e+08 4.2198170113530302e+08 4.2048460099943447e+08 4.1917534889860570e+08 4.1802871390979493e+08 4.1703838908806336e+08 4.1617272266117674e+08 4.1539089200815243e+08 4.1468448441514850e+08 4.1403199577824271e+08 4.1339176697999763e+08 4.1293076858710063e+08 4.1246270152322936e+08 4.1198399441567516e+08 4.1148217785535723e+08 4.1096437630488461e+08 4.1041381521239346e+08 4.0985890586048460e+08 4.0923577368762541e+08 4.0856892492723846e+08 4.0784609759900159e+08 4.0705771688730395e+08 4.0619214733476186e+08 4.0523628165242147e+08 4.0416931784622127e+08 4.0300334322967535e+08 4.0168022738547915e+08 4.0019684253276348e+08 3.9853167192584711e+08 3.9666155945621151e+08 3.9456262579940271e+08 3.9221091823774487e+08 3.8957804823822677e+08 3.8667715723320568e+08 3.8344401197470385e+08 3.7989545961401361e+08 3.7603970694580859e+08 3.7190699442122447e+08 3.6754877315773147e+08 3.6306297389205039e+08 3.5859357917508066e+08 3.5438806696419293e+08 3.5073420743595737e+08 3.4810730093743885e+08 3.4716036931307870e+08 3.4884832569431120e+08 3.5455501533280724e+08 3.6637784356689721e+08 3.8763584337298542e+08 4.2393822649294311e+08 2.6028773898355752e+08 +4.6758252750917437e+00 2.3413481899304879e+08 2.3411797121374732e+08 2.3408954918244740e+08 2.3405512436336949e+08 2.3402720836520028e+08 2.3402311587223244e+08 2.3404966863869211e+08 2.3409441512999558e+08 2.3414599481714737e+08 2.3420370002709737e+08 2.3427073947497681e+08 2.3434903304649839e+08 2.3444031364781681e+08 2.3454690741659862e+08 2.3467162560136482e+08 2.3481764877856255e+08 2.3498887022786051e+08 2.3519003254591560e+08 2.3542674624820265e+08 2.3570556444340894e+08 2.3603415653293830e+08 2.3642151236728871e+08 2.3687903587399268e+08 2.3742602664932188e+08 2.3808943014903063e+08 2.3888515446202427e+08 2.3982489106994170e+08 2.4092892802812943e+08 2.4222383608579680e+08 2.4374059888143024e+08 2.4551467169471499e+08 2.4758635359726515e+08 2.5000115577383432e+08 2.5281008380683115e+08 2.5606977375217974e+08 2.5984233874022722e+08 2.6419486466933620e+08 2.6919832881284887e+08 2.7492578904373968e+08 2.8144947662182951e+08 2.8942308491938353e+08 2.9846245960064787e+08 3.0861084855951780e+08 3.1987136317285132e+08 3.3219005064561468e+08 3.4543793221762043e+08 3.5939513933116519e+08 3.7374198626038659e+08 3.8806349559320229e+08 4.0186917316359186e+08 4.1462943918922764e+08 4.2586573810156196e+08 4.3521976442408711e+08 4.4244076124577951e+08 4.4746661441592216e+08 4.5042131986823177e+08 4.5155586337376493e+08 4.5120680528114033e+08 4.4972627061943871e+08 4.4747139022524410e+08 4.4472290762704062e+08 4.4173505378622156e+08 4.3866907277466756e+08 4.3568011942058349e+08 4.3284214044950312e+08 4.3020432826731145e+08 4.2781405485828221e+08 4.2566678734704965e+08 4.2374717280359405e+08 4.2205699775332278e+08 4.2055518255764949e+08 4.1924237565770000e+08 4.1809317534606194e+08 4.1710108796833092e+08 4.1623427499865884e+08 4.1545175915759331e+08 4.1474495455669540e+08 4.1409222916718346e+08 4.1345185326028049e+08 4.1299077542102152e+08 4.1252263620473307e+08 4.1204385895216465e+08 4.1154197022884297e+08 4.1102409463122624e+08 4.1047346040222818e+08 4.0991845529171026e+08 4.0929523393806171e+08 4.0862828963823587e+08 4.0790535862845755e+08 4.0711686470078647e+08 4.0625117070660424e+08 4.0529516745026368e+08 4.0422805538147080e+08 4.0306189643900639e+08 4.0173858966463959e+08 4.0025499058090186e+08 3.9858957931359738e+08 3.9671919638901728e+08 3.9461995900947952e+08 3.9226791097721291e+08 3.8963466489997679e+08 3.8673333801772505e+08 3.8349972423989004e+08 3.7995065751032001e+08 3.7609434581686521e+08 3.7196103400139284e+08 3.6760218065550172e+08 3.6311573074727339e+08 3.5864569259273267e+08 3.5443955614059144e+08 3.5078516690353912e+08 3.4815787989191300e+08 3.4721081654416019e+08 3.4889901940580738e+08 3.5460653706022412e+08 3.6643108204399389e+08 3.8769217682878095e+08 4.2399981504499811e+08 2.5981293686162698e+08 +4.6807935978660016e+00 2.3535986362251762e+08 2.3534287559915841e+08 2.3531422506118146e+08 2.3527950528039974e+08 2.3525130003009078e+08 2.3524703921043789e+08 2.3527359411053526e+08 2.3531842787621373e+08 2.3537009298018405e+08 2.3542786430181408e+08 2.3549496049352068e+08 2.3557330215709716e+08 2.3566461921938518e+08 2.3577123598012114e+08 2.3589596270848227e+08 2.3604197802946696e+08 2.3621317305697274e+08 2.3641428835972589e+08 2.3665093208667943e+08 2.3692965430680585e+08 2.3725812067627245e+08 2.3764531590407255e+08 2.3810263423367164e+08 2.3864935794511038e+08 2.3931242729516733e+08 2.4010774982625377e+08 2.4104699943061271e+08 2.4215044259237096e+08 2.4344462605084723e+08 2.4496050377354217e+08 2.4673349369486737e+08 2.4880384762602276e+08 2.5121701675445324e+08 2.5402393038504091e+08 2.5728112758216801e+08 2.6105059806089023e+08 2.6539927105274838e+08 2.7039792559124768e+08 2.7611937029244381e+08 2.8263552543714267e+08 2.9059891019877213e+08 2.9962528550934345e+08 3.0975720262200737e+08 3.2099696609297764e+08 3.3328973376684713e+08 3.4650561528366494e+08 3.6042391062120646e+08 3.7472432931141138e+08 3.8899169482799590e+08 4.0273589247643542e+08 4.1542843410670602e+08 4.2659253517030877e+08 4.3587218744808543e+08 4.4301922705312246e+08 4.4797399166589344e+08 4.5086249197247505e+08 4.5193707410709858e+08 4.5153496506961656e+08 4.5000835931194395e+08 4.4771400125857383e+08 4.4493202044976133e+08 4.4191590591694272e+08 4.3882619173381191e+08 4.3581734738622648e+08 4.3296275286013430e+08 4.3031111900555849e+08 4.2790939795269871e+08 4.2575274492247158e+08 4.2382553117891687e+08 4.2212930211335152e+08 4.2062279950158840e+08 4.1930645980215609e+08 4.1815471133800179e+08 4.1716087449890047e+08 4.1629292492249608e+08 4.1550973152796894e+08 4.1480253596601146e+08 4.1414957891076148e+08 4.1350906056071281e+08 4.1304790653359848e+08 4.1257969844010431e+08 4.1210085437866825e+08 4.1159889698470730e+08 4.1108095094112206e+08 4.1053024738415521e+08 4.0997515043584758e+08 4.0935184423618281e+08 4.0868480903546304e+08 4.0796177937321788e+08 4.0717317771485811e+08 4.0630736530161923e+08 4.0535123112368011e+08 4.0428397819695860e+08 4.0311764310410726e+08 4.0179415460869157e+08 4.0031035161953694e+08 3.9864471128359246e+08 3.9677407092237371e+08 3.9467454443319583e+08 3.9232217230277932e+08 3.8968856845846218e+08 3.8678682595515323e+08 3.8355276616945767e+08 3.8000320977867353e+08 3.7614636590731162e+08 3.7201248357673556e+08 3.6765302849501133e+08 3.6316595917944092e+08 3.5869530869047213e+08 3.5448857733390325e+08 3.5083368382924825e+08 3.4820603459438604e+08 3.4725884609535521e+08 3.4894728367793512e+08 3.5465558961069041e+08 3.6648176901304924e+08 3.8774581071012962e+08 4.2405845128300428e+08 2.5933818322428820e+08 +4.6857619206402594e+00 2.3658219843978909e+08 2.3656507137267637e+08 2.3653619312933528e+08 2.3650117958789286e+08 2.3647268566939375e+08 2.3646825655279759e+08 2.3649481322149214e+08 2.3653973358488166e+08 2.3659148332193762e+08 2.3664931990454218e+08 2.3671647185243276e+08 2.3679486047045112e+08 2.3688621267077139e+08 2.3699285089143345e+08 2.3711758437592694e+08 2.3726358975861722e+08 2.3743475593112311e+08 2.3763582136637273e+08 2.3787239176925287e+08 2.3815101407549307e+08 2.3847935008932671e+08 2.3886637925138330e+08 2.3932348596274579e+08 2.3986993491984546e+08 2.4053266079751918e+08 2.4132757036552337e+08 2.4226631976665375e+08 2.4336915363545126e+08 2.4466259433234081e+08 2.4617756572633603e+08 2.4794944791965258e+08 2.5001844491038373e+08 2.5242994727247161e+08 2.5523480734815064e+08 2.5848946645989382e+08 2.6225579010045761e+08 2.6660054998621443e+08 2.7159432605015725e+08 2.7730967682003284e+08 2.8381821086409354e+08 2.9177126476056111e+08 3.0078452063884163e+08 3.1089983352478147e+08 3.2211870254383624e+08 3.3438539888835227e+08 3.4756912495891845e+08 3.6144835550121880e+08 3.7570220336646414e+08 3.8991530234057820e+08 4.0359792701118743e+08 4.1622268956576127e+08 4.2731458231103480e+08 4.3651989585340416e+08 4.4359305624280071e+08 4.4847684574112082e+08 4.5129927969706690e+08 4.5231405379096091e+08 4.5185905173981059e+08 4.5028652955012113e+08 4.4795283970283198e+08 4.4513749454694670e+08 4.4209323964235425e+08 4.3897989885162401e+08 4.3595125670373285e+08 4.3308012735908759e+08 4.3041474116573203e+08 4.2800163142676473e+08 4.2583564252523667e+08 4.2390087099323618e+08 4.2219862195645291e+08 4.2068745953525549e+08 4.1936760900577050e+08 4.1821332953318506e+08 4.1721775630537707e+08 4.1634868004098678e+08 4.1556481671113384e+08 4.1485723622158599e+08 4.1420405257519680e+08 4.1356339643587136e+08 4.1310216947043353e+08 4.1263389576725560e+08 4.1215498822437608e+08 4.1165296564191538e+08 4.1113495274500668e+08 4.1058418365824783e+08 4.1002899878288931e+08 4.0940561206048828e+08 4.0873849058558571e+08 4.0801536728621763e+08 4.0722666336823338e+08 4.0636073854330313e+08 4.0540448007747543e+08 4.0433709367833465e+08 4.0317059059007126e+08 4.0184692955860877e+08 4.0036293296260750e+08 3.9869707511861551e+08 3.9682619030552566e+08 3.9472638928018856e+08 3.9237370938198489e+08 3.8973976603395844e+08 3.8683762811209488e+08 3.8360314477067351e+08 3.8005312336142743e+08 3.7619577408876252e+08 3.7206134994359022e+08 3.6770132339343917e+08 3.6321366582358789e+08 3.5874243402135503e+08 3.5453513702066016e+08 3.5087976462294078e+08 3.4825177140622967e+08 3.4730446431155872e+08 3.4899312488597214e+08 3.5470217946398360e+08 3.6652991116938239e+08 3.8779675210117906e+08 4.2411414295418072e+08 2.5886348252776572e+08 +4.6907302434145173e+00 2.3780181102680981e+08 2.3778454935187772e+08 2.3775544233796132e+08 2.3772013442464924e+08 2.3769135268648356e+08 2.3768675520139089e+08 2.3771331328171930e+08 2.3775831956483763e+08 2.3781015315302876e+08 2.3786805414591992e+08 2.3793526086424351e+08 2.3801369530068299e+08 2.3810508131902337e+08 2.3821173947078988e+08 2.3833647792751142e+08 2.3848247129460073e+08 2.3865360618404314e+08 2.3885461890728357e+08 2.3909111264533159e+08 2.3936963110876393e+08 2.3969783214302102e+08 2.4008468979439199e+08 2.4054157846351629e+08 2.4108774499643019e+08 2.4175011810458392e+08 2.4254460355788112e+08 2.4348283959244674e+08 2.4458504871411595e+08 2.4587772853805244e+08 2.4739177240810335e+08 2.4916252210795987e+08 2.5123013327497238e+08 2.5363993525386122e+08 2.5644270274233276e+08 2.5969477857479385e+08 2.6345790321876442e+08 2.6779869003317988e+08 2.7278751899576300e+08 2.7849669772284806e+08 2.8499752234477502e+08 2.9294013849363303e+08 3.0194015541647923e+08 3.1203873234283781e+08 3.2323656437291396e+08 3.3547703877200037e+08 3.4862845507438326e+08 3.6246846902855521e+08 3.7667560486110145e+08 3.9083431606928998e+08 4.0445527629078376e+08 4.1701220669011372e+08 4.2803188219331360e+08 4.3716289372378522e+08 4.4416225412012088e+08 4.4897518294083244e+08 4.5173169009665787e+08 4.5268681001371717e+08 4.5217907322648257e+08 4.5056078946791601e+08 4.4818791378233355e+08 4.4533933816409993e+08 4.4226706318223667e+08 4.3913020229741573e+08 4.3608185547835165e+08 4.3319427198339534e+08 4.3051520271929967e+08 4.2809076318870056e+08 4.2591548800914526e+08 4.2397320005065662e+08 4.2226496504357332e+08 4.2074917038311839e+08 4.1942583096155190e+08 4.1826903759828573e+08 4.1727174103327507e+08 4.1640154798186374e+08 4.1561702231939626e+08 4.1490906292198342e+08 4.1425565774698687e+08 4.1361486845997739e+08 4.1315357179763985e+08 4.1268523574314988e+08 4.1220626803727931e+08 4.1170418374036837e+08 4.1118610757220918e+08 4.1063527674434203e+08 4.1008000784297222e+08 4.0945654490880883e+08 4.0878934177478582e+08 4.0806612984032118e+08 4.0727732911905932e+08 4.0641129787357587e+08 4.0545492173678201e+08 4.0438740923103708e+08 4.0322074628044301e+08 4.0189692187389714e+08 4.0041274194183278e+08 3.9874667812066126e+08 3.9687556180637437e+08 3.9477550078055257e+08 3.9242252940090203e+08 3.8978826476367563e+08 3.8688575157325280e+08 3.8365086706861001e+08 3.8010040521913832e+08 3.7624257725091177e+08 3.7210763991632485e+08 3.6774707208456349e+08 3.6325885733162868e+08 3.5878707515543890e+08 3.5457924169336873e+08 3.5092341571053952e+08 3.4829509670560771e+08 3.4734767755311418e+08 3.4903654942153257e+08 3.5474631311562943e+08 3.6657551522578597e+08 3.8784500810455859e+08 4.2416689782604378e+08 2.5838883920676151e+08 +4.6956985661887751e+00 2.3901869093075460e+08 2.3900129400079083e+08 2.3897196060153034e+08 2.3893635692598373e+08 2.3890728835475448e+08 2.3890252256323844e+08 2.3892908169810745e+08 2.3897417321691900e+08 2.3902608987604681e+08 2.3908405442935678e+08 2.3915131493435141e+08 2.3922979405379727e+08 2.3932121257249746e+08 2.3942788912987241e+08 2.3955263077936485e+08 2.3969861005774677e+08 2.3986971124230120e+08 2.4007066841526756e+08 2.4030708215636149e+08 2.4058549285848743e+08 2.4091355430088767e+08 2.4130023501098272e+08 2.4175689923083177e+08 2.4230277569040945e+08 2.4296478675686139e+08 2.4375883697472054e+08 2.4469654651563475e+08 2.4579811547909540e+08 2.4709001636960444e+08 2.4860311158091301e+08 2.5037270409418175e+08 2.5243890063951159e+08 2.5484696871957624e+08 2.5764760470971170e+08 2.6089705221257880e+08 2.6465692587331605e+08 2.6899367985576189e+08 2.7397749333387494e+08 2.7968042219779247e+08 2.8617344942353398e+08 2.9410552139030463e+08 3.0309218037467754e+08 3.1317389025613207e+08 3.2435054353438991e+08 3.3656464628718424e+08 3.4968359956808692e+08 3.6348424636790490e+08 3.7764453033546495e+08 3.9174873405525571e+08 4.0530793993582743e+08 4.1779698669716531e+08 4.2874443757185650e+08 4.3780118522119677e+08 4.4472682606216425e+08 4.4946900962714404e+08 4.5215973028073949e+08 4.5305535041323858e+08 4.5249503750773555e+08 4.5083114723748451e+08 4.4841923175813943e+08 4.4553755957738400e+08 4.4243738478505081e+08 4.3927711026588470e+08 4.3620915183935148e+08 4.3330519479382133e+08 4.3061251165933925e+08 4.2817680116984618e+08 4.2599228924862176e+08 4.2404252617609066e+08 4.2232833915632963e+08 4.2080793979024929e+08 4.1948113338288575e+08 4.1832184322047073e+08 4.1732283634789759e+08 4.1645153639151764e+08 4.1566635598379481e+08 4.1495802368486345e+08 4.1430440203092653e+08 4.1366348422616285e+08 4.1320212109981489e+08 4.1273372594362652e+08 4.1225470138494426e+08 4.1175255883752191e+08 4.1123442297194433e+08 4.1068353418082851e+08 4.1012818514384240e+08 4.0950465029839945e+08 4.0883737010705537e+08 4.0811407452687341e+08 4.0732518244426298e+08 4.0645905075349391e+08 4.0550256354527986e+08 4.0443493227959925e+08 4.0326811757772404e+08 4.0194413893285918e+08 4.0045978590846288e+08 3.9879352761021578e+08 3.9692219271034521e+08 3.9482188618112057e+08 3.9246863956370223e+08 3.8983407180418408e+08 3.8693120344120628e+08 3.8369594010685557e+08 3.8014506232972622e+08 3.7628678230144131e+08 3.7215136032634693e+08 3.6779028131998575e+08 3.6330154037262720e+08 3.5882923867976320e+08 3.5462089786221296e+08 3.5096464353474051e+08 3.4833601688665169e+08 3.4738849219667554e+08 3.4907756369240659e+08 3.5478799707905465e+08 3.6661858791221279e+08 3.8789058583991402e+08 4.2421672368548644e+08 2.5791425767448846e+08 +4.7006668889630330e+00 2.4023282758390135e+08 2.4021529036518392e+08 2.4018573193859941e+08 2.4014983464428249e+08 2.4012047986406797e+08 2.4011554613879526e+08 2.4014210597061345e+08 2.4018728203462917e+08 2.4023928098576927e+08 2.4029730824895704e+08 2.4036462155960998e+08 2.4044314422804534e+08 2.4053459393161646e+08 2.4064128737286481e+08 2.4076603043885866e+08 2.4091199356095827e+08 2.4108305862436786e+08 2.4128395741575611e+08 2.4152028783600962e+08 2.4179858686808431e+08 2.4212650411885414e+08 2.4251300247102648e+08 2.4296943585198328e+08 2.4351501461013910e+08 2.4417665438812912e+08 2.4497025828025877e+08 2.4590742823702258e+08 2.4700834167424828e+08 2.4829944562252057e+08 2.4981157110112900e+08 2.5157998180727699e+08 2.5364473501843727e+08 2.5605103578694698e+08 2.5884950148851719e+08 2.6209627575664079e+08 2.6585284661951515e+08 2.7018550821444327e+08 2.7516423807015634e+08 2.8086083954252398e+08 2.8734598174642676e+08 2.9526740354584295e+08 3.0424058614945102e+08 3.1430529855117416e+08 3.2546063208910018e+08 3.3764821441109461e+08 3.5073455248531598e+08 3.6449568279093373e+08 3.7860897643631184e+08 3.9265855444214696e+08 4.0615591766552675e+08 4.1857703089650315e+08 4.2945225128828835e+08 4.3843477458529055e+08 4.4528677751518947e+08 4.4995833222321093e+08 4.5258340741459066e+08 4.5341968267443627e+08 4.5280695260352683e+08 4.5109761106782883e+08 4.4864680192401862e+08 4.4573216709531933e+08 4.4260421272869027e+08 4.3942063097902417e+08 4.3633315394189221e+08 4.3341290387509954e+08 4.3070667600209141e+08 4.2825975332371068e+08 4.2606605414016151e+08 4.2410885721517718e+08 4.2238875209741795e+08 4.2086377552089334e+08 4.1953352400224108e+08 4.1837175410592449e+08 4.1737104993331128e+08 4.1649865293557465e+08 4.1571282535494190e+08 4.1500412614635873e+08 4.1435029305144876e+08 4.1370925134730917e+08 4.1324782498113745e+08 4.1277937396476382e+08 4.1230029585378611e+08 4.1179809851128918e+08 4.1127990651120716e+08 4.1072896352479637e+08 4.1017353823279345e+08 4.0954993576496029e+08 4.0888258310618055e+08 4.0815920885613555e+08 4.0737023083950281e+08 4.0650400466293997e+08 4.0554741296437901e+08 4.0447967026537383e+08 4.0331271190291804e+08 4.0198858813177043e+08 4.0050407223204011e+08 3.9883763092579341e+08 3.9696609032228214e+08 3.9486555274780047e+08 3.9251204709257644e+08 3.8987719432885236e+08 3.8697399083601189e+08 3.8373837094615436e+08 3.8018710168843776e+08 3.7632839616482824e+08 3.7219251802151746e+08 3.6783095786772561e+08 3.6334172163187420e+08 3.5886893119744158e+08 3.5466011205273724e+08 3.5100345455357498e+08 3.4837453835921967e+08 3.4742691463512492e+08 3.4911617412205881e+08 3.5482723788224924e+08 3.6665913597472465e+08 3.8793349244550806e+08 4.2426362833913589e+08 2.5743974232270518e+08 +4.7056352117372908e+00 2.4144420506928080e+08 2.4142653059551546e+08 2.4139674507179767e+08 2.4136055663491666e+08 2.4133091473092845e+08 2.4132581351228839e+08 2.4135237368955481e+08 2.4139763360331935e+08 2.4144971406862879e+08 2.4150780319067499e+08 2.4157516832869554e+08 2.4165373341299209e+08 2.4174521298877841e+08 2.4185192179543701e+08 2.4197666450609347e+08 2.4212260940799251e+08 2.4229363594011855e+08 2.4249447352582848e+08 2.4273071731013736e+08 2.4300890077349311e+08 2.4333666924472255e+08 2.4372297983719227e+08 2.4417917600653303e+08 2.4472444945583737e+08 2.4538570872459543e+08 2.4617885523152182e+08 2.4711547254973429e+08 2.4821571513687423e+08 2.4950600418557134e+08 2.5101713891916543e+08 2.5278434327013713e+08 2.5484762452158892e+08 2.5725212466799462e+08 2.6004838141348392e+08 2.6329243768661839e+08 2.6704565411022422e+08 2.7137416396845669e+08 2.7634774230954248e+08 2.8203793915526634e+08 2.8851510906140399e+08 2.9642577515836889e+08 3.0538536348186827e+08 3.1543294861954296e+08 3.2656682220439857e+08 3.3872773622720903e+08 3.5178130797930551e+08 3.6550277367555499e+08 3.7956893991355813e+08 3.9356377547510582e+08 4.0699920929696399e+08 4.1935234068975419e+08 4.3015532626890725e+08 4.3906366613454551e+08 4.4584211399467725e+08 4.5044315721530902e+08 4.5300272871632826e+08 4.5377981453064960e+08 4.5311482657615989e+08 4.5136018920682758e+08 4.4887063260841733e+08 4.4592316905591446e+08 4.4276755531787175e+08 4.3956077268512833e+08 4.3645386996551037e+08 4.3351740733549488e+08 4.3079770378682607e+08 4.2833962762409621e+08 4.2613679060046029e+08 4.2417220103388214e+08 4.2244621168837380e+08 4.2091668535900146e+08 4.1958301057188064e+08 4.1841877797986954e+08 4.1741638949280846e+08 4.1654290529964882e+08 4.1575643810107553e+08 4.1504737796207213e+08 4.1439333845136863e+08 4.1375217745377064e+08 4.1329069106363147e+08 4.1282218741960400e+08 4.1234305904860550e+08 4.1184081035670841e+08 4.1132256577633560e+08 4.1077157235301661e+08 4.1021607467560142e+08 4.0959240886237681e+08 4.0892498831386065e+08 4.0820154035625905e+08 4.0741248181879491e+08 4.0654616709967953e+08 4.0558947747519070e+08 4.0452163065002811e+08 4.0335453669546199e+08 4.0203027688522089e+08 4.0054560829974234e+08 3.9887899542403907e+08 3.9700726196334803e+08 3.9490650776368684e+08 3.9255275922762012e+08 3.8991763952896821e+08 3.8701412089620030e+08 3.8377816666459942e+08 3.8022653030848104e+08 3.7636742578194106e+08 3.7223111986739510e+08 3.6786910851242435e+08 3.6337940781118196e+08 3.5890615932775825e+08 3.5469689080645382e+08 3.5103985524143493e+08 3.4841066754964054e+08 3.4746295127694392e+08 3.4915238715042233e+08 3.5486404207049495e+08 3.6669716617688817e+08 3.8797373507690853e+08 4.2430761961235970e+08 2.5696529752174976e+08 +4.7106035345115487e+00 2.4265281019888249e+08 2.4263500072156632e+08 2.4260498968187571e+08 2.4256850958783871e+08 2.4253858091614220e+08 2.4253331235303292e+08 2.4255987253442925e+08 2.4260521560077843e+08 2.4265737680258214e+08 2.4271552693245506e+08 2.4278294292235690e+08 2.4286154929021874e+08 2.4295305742806980e+08 2.4305978008511057e+08 2.4318452067217699e+08 2.4333044529567581e+08 2.4350143089194304e+08 2.4370220445507172e+08 2.4393835829619154e+08 2.4421642230272475e+08 2.4454403741882110e+08 2.4493015486395803e+08 2.4538610746692073e+08 2.4593106802101016e+08 2.4659193758501494e+08 2.4738461567855960e+08 2.4832066734136778e+08 2.4942022379790148e+08 2.5070968004159579e+08 2.5221980307937261e+08 2.5398577660043257e+08 2.5604755735376143e+08 2.5845022367068812e+08 2.6124423291511694e+08 2.6448552657914057e+08 2.6823533709576946e+08 2.7255963607511514e+08 2.7752799525615227e+08 2.8321171053444302e+08 2.8968082121724039e+08 2.9758062652854854e+08 3.0652650321653241e+08 3.1655683195730436e+08 3.2766910615361249e+08 3.3980320492617875e+08 3.5282386030947208e+08 3.6650551450597203e+08 3.8052441762323582e+08 3.9446439550132036e+08 4.0783781474370033e+08 4.2012291757034975e+08 4.3085366552464944e+08 4.3968786426298732e+08 4.4639284108650434e+08 4.5092349114993036e+08 4.5341770145973653e+08 4.5413575376363015e+08 4.5341866753044569e+08 4.5161888993901682e+08 4.4909073217262918e+08 4.4611057382864839e+08 4.4292742088696343e+08 4.3969754365807092e+08 4.3657130811459243e+08 4.3361871330631340e+08 4.3088560307404500e+08 4.2841643206719136e+08 4.2620450656675756e+08 4.2423256551801914e+08 4.2250072577072114e+08 4.2096667710801458e+08 4.1962960086322135e+08 4.1846292258662289e+08 4.1745886274804735e+08 4.1658430118675250e+08 4.1579720191033983e+08 4.1508778680566669e+08 4.1443354589222968e+08 4.1379227019515538e+08 4.1333072698827744e+08 4.1286217394045222e+08 4.1238299859276009e+08 4.1188070198840284e+08 4.1136240837182373e+08 4.1081136825906175e+08 4.1025580205631113e+08 4.0963207716325217e+08 4.0896459329049963e+08 4.0824107657409048e+08 4.0745194291418129e+08 4.0658554558007807e+08 4.0562876457588524e+08 4.0456082091164583e+08 4.0339359941181755e+08 4.0206921262651134e+08 4.0058440151649702e+08 3.9891762847916490e+08 3.9704571497416383e+08 3.9494475852985531e+08 3.9259078322649056e+08 3.8995541461337250e+08 3.8705160077587086e+08 3.8381533435736841e+08 3.8026335521846420e+08 3.7640387811131233e+08 3.7226717274569994e+08 3.6790474005503607e+08 3.6341460562920070e+08 3.5894092970633996e+08 3.5473124068134809e+08 3.5107385208867520e+08 3.4844441089878684e+08 3.4749660854554921e+08 3.4918620923224175e+08 3.5489841620426500e+08 3.6673268529802799e+08 3.8801132090672094e+08 4.2434870534978592e+08 2.5649092762057567e+08 +4.7155718572858065e+00 2.4385863353488532e+08 2.4384068719815063e+08 2.4381045218050537e+08 2.4377368013752809e+08 2.4374346638093314e+08 2.4373803042286485e+08 2.4376459027087003e+08 2.4381001579601011e+08 2.4386225695719695e+08 2.4392046724375358e+08 2.4398793311275458e+08 2.4406657963289177e+08 2.4415811502503538e+08 2.4426485002106664e+08 2.4438958672054416e+08 2.4453548901193374e+08 2.4470643127397805e+08 2.4490713800449288e+08 2.4514319860405672e+08 2.4542113927605346e+08 2.4574859647329664e+08 2.4613451539856452e+08 2.4659021809697303e+08 2.4713485819117773e+08 2.4779532888120538e+08 2.4858752756390509e+08 2.4952300059140477e+08 2.5062185568115455e+08 2.5191046126681474e+08 2.5341955171987021e+08 2.5518427000992852e+08 2.5724452181354252e+08 2.5964532119779307e+08 2.6243704451955479e+08 2.6567553110738423e+08 2.6942188442385280e+08 2.7374191359023142e+08 2.7870498621341544e+08 2.8438214327846932e+08 2.9084310816471797e+08 2.9873194806028467e+08 3.0766399630168831e+08 3.1767694016629273e+08 3.2876747631598908e+08 3.4087461380504638e+08 3.5386220384194088e+08 3.6750390087176049e+08 3.8147540652409273e+08 3.9536041296828967e+08 4.0867173401649880e+08 4.2088876312237209e+08 4.3154727215040618e+08 4.4030737344255954e+08 4.4693896444394457e+08 4.5139934063475746e+08 4.5382833297078192e+08 4.5448750819987822e+08 4.5371848361197031e+08 4.5187372158556080e+08 4.4930710901060271e+08 4.4629438981141788e+08 4.4308381779710358e+08 4.3983095219801730e+08 4.3668547661699969e+08 4.3371682994167340e+08 4.3097038194647777e+08 4.2849017467043978e+08 4.2626920999712121e+08 4.2428995857356703e+08 4.2255230220510489e+08 4.2101375858993781e+08 4.1967330266575962e+08 4.1850419568860286e+08 4.1749847743977314e+08 4.1662284831832027e+08 4.1583512448837954e+08 4.1512536036899948e+08 4.1447092305360544e+08 4.1382953723904622e+08 4.1336794041413021e+08 4.1289934117781878e+08 4.1242012212783939e+08 4.1191778103764164e+08 4.1139944192019272e+08 4.1084835885566175e+08 4.1029272797677648e+08 4.0966894825812083e+08 4.0900140561406630e+08 4.0827782507474202e+08 4.0748862167576277e+08 4.0662214763776064e+08 4.0566528178262502e+08 4.0459724854724729e+08 4.0342990752708495e+08 4.0210540280544859e+08 4.0062045930529821e+08 3.9895353748317593e+08 3.9708145671165031e+08 3.9498031236458606e+08 3.9262612636345875e+08 3.8999052680803257e+08 3.8708643764768589e+08 3.8384988113644177e+08 3.8029758346555871e+08 3.7643776012772554e+08 3.7230068355418456e+08 3.6793785931307387e+08 3.6344732181953883e+08 3.5897324898415738e+08 3.5476316825021380e+08 3.5110545160034084e+08 3.4847577486344683e+08 3.4752789288040036e+08 3.4921764683818567e+08 3.5493036686008251e+08 3.6676570013352603e+08 3.8804625712513030e+08 4.2438689341442823e+08 2.5601663694678685e+08 +4.7205401800600644e+00 2.4506166231581947e+08 2.4504357926320925e+08 2.4501312084108114e+08 2.4497605697132617e+08 2.4494555889156574e+08 2.4493995558578411e+08 2.4496651475257117e+08 2.4501202204928675e+08 2.4506434239321095e+08 2.4512261198524493e+08 2.4519012676331612e+08 2.4526881230571532e+08 2.4536037364751282e+08 2.4546711947431570e+08 2.4559185052627024e+08 2.4573772843651080e+08 2.4590862497191557e+08 2.4610926206711730e+08 2.4634522613542932e+08 2.4662303960499749e+08 2.4695033433262548e+08 2.4733604937965468e+08 2.4779149585385603e+08 2.4833580794441563e+08 2.4899587061718121e+08 2.4978757892328280e+08 2.5072246037280801e+08 2.5182059890349743e+08 2.5310833603081092e+08 2.5461637307297632e+08 2.5637981180485374e+08 2.5843850629510048e+08 2.6083740574783021e+08 2.6362680484915274e+08 2.6686244004052415e+08 2.7060528503927183e+08 2.7492098566708958e+08 2.7987870458397382e+08 2.8554922708622068e+08 2.9200195995528632e+08 2.9987973025889534e+08 3.0879783378933507e+08 3.1879326495228225e+08 3.2986192517645013e+08 3.4194195626703352e+08 3.5489633304912800e+08 3.6849792846866345e+08 3.8242190367903674e+08 3.9625182642492115e+08 4.0950096722237986e+08 4.2164987902056766e+08 4.3223614932551980e+08 4.4092219822051913e+08 4.4748048978943551e+08 4.5187071233819616e+08 4.5423463062866461e+08 4.5483508571387750e+08 4.5401428300724608e+08 4.5212469250426191e+08 4.4951977155033547e+08 4.4647462543421876e+08 4.4323675443672299e+08 4.3996100663028121e+08 4.3679638372504097e+08 4.3381176541864318e+08 4.3105204850852245e+08 4.2856086347068310e+08 4.2633090886957979e+08 4.2434438812585670e+08 4.2260094887199050e+08 4.2105793764646012e+08 4.1971412378787827e+08 4.1854260506710345e+08 4.1753524132637894e+08 4.1665855443507624e+08 4.1587021355945778e+08 4.1516010636245596e+08 4.1450547763275522e+08 4.1386398627107137e+08 4.1340233901808727e+08 4.1293369679954427e+08 4.1245443731287163e+08 4.1195205515489560e+08 4.1143367406182700e+08 4.1088255177258998e+08 4.1032686005661827e+08 4.0970302975516140e+08 4.0903543288040680e+08 4.0831179343989134e+08 4.0752252567126149e+08 4.0665598082485217e+08 4.0569903662921906e+08 4.0463092107037282e+08 4.0346346853374285e+08 4.0213885488983661e+08 4.0065378910650551e+08 3.9898672984528863e+08 3.9711449454986560e+08 3.9501317660329330e+08 3.9265879593036216e+08 3.9002298335539961e+08 3.8711863870024943e+08 3.8388181413048196e+08 3.8032922211210293e+08 3.7646907882221609e+08 3.7233165920731103e+08 3.6796847311989015e+08 3.6347756313182151e+08 3.5900312382811159e+08 3.5479268010138804e+08 3.5113466029716873e+08 3.4850476591556203e+08 3.4755681073539710e+08 3.4924670645344514e+08 3.5495990062943429e+08 3.6679621749502736e+08 3.8807855093845749e+08 4.2442219168812436e+08 2.5554242980667236e+08 +4.7255085028343222e+00 2.4626188143192255e+08 2.4624366533000129e+08 2.4621297993331924e+08 2.4617562820536184e+08 2.4614484627174678e+08 2.4613907580354258e+08 2.4616563392215452e+08 2.4621122231207260e+08 2.4626362106284401e+08 2.4632194911008129e+08 2.4638951182963991e+08 2.4646823526549944e+08 2.4655982125467175e+08 2.4666657640744922e+08 2.4679130005599001e+08 2.4693715154115435e+08 2.4710799996309820e+08 2.4730856462754691e+08 2.4754442888380870e+08 2.4782211129381129e+08 2.4814923901279432e+08 2.4853474483885768e+08 2.4898992878618398e+08 2.4953390535088107e+08 2.5019355088925415e+08 2.5098475788484126e+08 2.5191903485121202e+08 2.5301644167568898e+08 2.5430329259671345e+08 2.5581025546431565e+08 2.5757239038523376e+08 2.5962949928718665e+08 2.6202646591362974e+08 2.6481350262166509e+08 2.6804624224469846e+08 2.7178552798419929e+08 2.7609684155766237e+08 2.8104913986860722e+08 2.8671295175644231e+08 2.9315736674153018e+08 3.0102396373258072e+08 3.0992800683460206e+08 3.1990579812625897e+08 3.3095244532481724e+08 3.4300522582116276e+08 3.5592624250898439e+08 3.6948759309684795e+08 3.8336390625375789e+08 3.9713863452000225e+08 4.1032551456377560e+08 4.2240626702999496e+08 4.3292030031202668e+08 4.4153234321977180e+08 4.4801742291170126e+08 4.5233761298727250e+08 4.5463660186501592e+08 4.5517849422579104e+08 4.5430607394388640e+08 4.5237181108908445e+08 4.4972872825170952e+08 4.4665128915445954e+08 4.4338623922110862e+08 4.4008771530505031e+08 4.3690403771456271e+08 4.3390352793586683e+08 4.3113061088588560e+08 4.2862850652643073e+08 4.2638961118165046e+08 4.2439586211947334e+08 4.2264667367026424e+08 4.2109922213690585e+08 4.1975207205675554e+08 4.1857815852131277e+08 4.1756916218441647e+08 4.1669142729369557e+08 4.1590247686467993e+08 4.1519203251347435e+08 4.1453721734525657e+08 4.1389562499418509e+08 4.1343393049447554e+08 4.1296524849181908e+08 4.1248595182473981e+08 4.1198353200771809e+08 4.1146511245442492e+08 4.1091395465775138e+08 4.1035820593364131e+08 4.0973432927986342e+08 4.0906668270242721e+08 4.0834298926983941e+08 4.0755366248568738e+08 4.0668705270980674e+08 4.0573003666689354e+08 4.0466184601258087e+08 4.0349428994132042e+08 4.0216957636488020e+08 4.0068439837668198e+08 3.9901721299189597e+08 3.9714483588101894e+08 3.9504335859795648e+08 3.9268879923541987e+08 3.9005279151519215e+08 3.8714821113866335e+08 3.8391114048438227e+08 3.8035827823683578e+08 3.7649784120161867e+08 3.7236010663517874e+08 3.6799658832367724e+08 3.6350533633168459e+08 3.5903056091990936e+08 3.5481978283910435e+08 3.5116148471450913e+08 3.4853139054137135e+08 3.4758336857964581e+08 3.4927339457878923e+08 3.5498702411890638e+08 3.6682424420936757e+08 3.8810820957008082e+08 4.2445460806994861e+08 2.5506831048524332e+08 +4.7304768256085801e+00 2.4745928134215134e+08 2.4744093264237815e+08 2.4741002463113320e+08 2.4737238239252356e+08 2.4734131663159552e+08 2.4733537912468499e+08 2.4736193581327957e+08 2.4740760462597954e+08 2.4746008100928551e+08 2.4751846666210267e+08 2.4758607635779467e+08 2.4766483656031343e+08 2.4775644589703968e+08 2.4786320887433225e+08 2.4798792336814243e+08 2.4813374638910720e+08 2.4830454431728193e+08 2.4850503376253968e+08 2.4874079493438813e+08 2.4901834243834680e+08 2.4934529862231126e+08 2.4973058989889932e+08 2.5018550503489727e+08 2.5072913857314810e+08 2.5138835788691068e+08 2.5217905266895708e+08 2.5311271228511879e+08 2.5420937230074131e+08 2.5549531932104477e+08 2.5700118731324446e+08 2.5876199424545678e+08 2.6081748937260211e+08 2.6321249038405386e+08 2.6599712665051761e+08 2.6922692668212110e+08 2.7296260239741659e+08 2.7726947061125976e+08 2.8221628166755331e+08 2.8787330718710315e+08 2.9430931877667809e+08 3.0216463919098568e+08 3.1105450669624865e+08 3.2101453160236669e+08 3.3203902945651311e+08 3.4406441608158523e+08 3.5695192690527487e+08 3.7047289066146970e+08 3.8430141151755887e+08 3.9802083600139850e+08 4.1114537633894020e+08 4.2315792900472814e+08 4.3359972845471907e+08 4.4213781313856268e+08 4.4854976966808492e+08 4.5280004936910868e+08 4.5503425416430235e+08 4.5551774170189935e+08 4.5459386468939394e+08 4.5261508576943743e+08 4.4993398760504055e+08 4.4682438945901132e+08 4.4353228059265846e+08 4.4021108659758455e+08 4.3700844688341159e+08 4.3399212571458387e+08 4.3120607722515434e+08 4.2869311191632241e+08 4.2644532495095676e+08 4.2444438851832718e+08 4.2268948451736391e+08 4.2113761993934458e+08 4.1978715531671387e+08 4.1861086386811131e+08 4.1760024780819952e+08 4.1672147467043620e+08 4.1593192216352195e+08 4.1522114656764126e+08 4.1456614992346388e+08 4.1392446112914145e+08 4.1346272255539829e+08 4.1299400395765740e+08 4.1251467335791832e+08 4.1201221928104395e+08 4.1149376477344841e+08 4.1094257517586440e+08 4.1038677326163697e+08 4.0976285447533762e+08 4.0909516271057141e+08 4.0837142018135351e+08 4.0758203972138929e+08 4.0671537087915832e+08 4.0575828946389359e+08 4.0469003092216009e+08 4.0352237927610964e+08 4.0219757473150116e+08 4.0071229459060323e+08 3.9904499436565685e+08 3.9717248811254740e+08 3.9507086571795708e+08 3.9271614360388511e+08 3.9007995856311601e+08 3.8717516218491310e+08 3.8393786736004132e+08 3.8038475893510813e+08 3.7652405428944987e+08 3.7238603278367627e+08 3.6802221178932148e+08 3.6353064819963771e+08 3.5905556695709169e+08 3.5484448308136284e+08 3.5118593140276730e+08 3.4855565524249297e+08 3.4760757289661342e+08 3.4929771772907811e+08 3.5501174395038307e+08 3.6684978711940181e+08 3.8813524025939566e+08 4.2448415047781163e+08 2.5459428324626833e+08 +4.7354451483828379e+00 2.4865385146736839e+08 2.4863536785176229e+08 2.4860423835049877e+08 2.4856630746688831e+08 2.4853495819780877e+08 2.4852885368284088e+08 2.4855540855285686e+08 2.4860115712302396e+08 2.4865371036729085e+08 2.4871215277758536e+08 2.4877980848604354e+08 2.4885860432952869e+08 2.4895023571717137e+08 2.4905700502089649e+08 2.4918170861245906e+08 2.4932750113483176e+08 2.4949824619508040e+08 2.4969865764025390e+08 2.4993431246419811e+08 2.5021172122586319e+08 2.5053850136109218e+08 2.5092357277507234e+08 2.5137821283329716e+08 2.5192149586610886e+08 2.5258027989079741e+08 2.5337045158911145e+08 2.5430348102564514e+08 2.5539937917466956e+08 2.5668440465367958e+08 2.5818915713313055e+08 2.5994861197375223e+08 2.6200246522852328e+08 2.6439546794195467e+08 2.6717766584472370e+08 2.7040448241099858e+08 2.7413649751525038e+08 2.7843886227519530e+08 2.8338011967947805e+08 2.8903028337640345e+08 2.9545780641453397e+08 3.0330174744578314e+08 3.1217732473490238e+08 3.2211945739985269e+08 3.3312167037117827e+08 3.4511952076843697e+08 3.5797338102631831e+08 3.7145381717104280e+08 3.8523441684118325e+08 3.9889842971676165e+08 4.1196055294044960e+08 4.2390486688854104e+08 4.3427443718092871e+08 4.4273861274946105e+08 4.4907753598142207e+08 4.5325802832975513e+08 4.5542759506225884e+08 4.5585283615307736e+08 4.5487766355107760e+08 4.5285452501018691e+08 4.5013555813494891e+08 4.4699393486379671e+08 4.4367488702005637e+08 4.4033112890715498e+08 4.3710961955430174e+08 4.3407756699785936e+08 4.3127845569381344e+08 4.2875468773829931e+08 4.2649805821385956e+08 4.2448997530467731e+08 4.2272938934870720e+08 4.2117313894979984e+08 4.1981938143047667e+08 4.1864072894222844e+08 4.1762850600907934e+08 4.1674870435772198e+08 4.1595855723279464e+08 4.1524745628699625e+08 4.1459228311740458e+08 4.1395050241361880e+08 4.1348872293004787e+08 4.1301997091723508e+08 4.1254060962358803e+08 4.1203812467668712e+08 4.1151963871074790e+08 4.1096842100917906e+08 4.1041256971285427e+08 4.0978861300123274e+08 4.0912088055299294e+08 4.0839709380833054e+08 4.0760766499721885e+08 4.0674094293577486e+08 4.0578380260557699e+08 4.0471548336404264e+08 4.0354774408131057e+08 4.0222285750918442e+08 4.0073748523885602e+08 3.9907008142636955e+08 3.9719745866933531e+08 3.9509570534830487e+08 3.9274083637717098e+08 3.9010449179107857e+08 3.8719949907635057e+08 3.8396200193392688e+08 3.8040867131754953e+08 3.7654772512341762e+08 3.7240944461365074e+08 3.6804535039658928e+08 3.6355350553118372e+08 3.5907814865142626e+08 3.5486678746188706e+08 3.5120800692684400e+08 3.4857756653447729e+08 3.4762943018460661e+08 3.4931968243433714e+08 3.5503406676037252e+08 3.6687285308245963e+08 3.8815965026218468e+08 4.2451082684658265e+08 2.5412035233230960e+08 +4.7404134711570958e+00 2.4984558060259488e+08 2.4982696244095671e+08 2.4979560842264944e+08 2.4975739046819612e+08 2.4972575909187636e+08 2.4971948769869810e+08 2.4974604036305350e+08 2.4979186802675784e+08 2.4984449736279353e+08 2.4990299568426087e+08 2.4997069644314393e+08 2.5004952680439806e+08 2.5014117894894576e+08 2.5024795308391866e+08 2.5037264403018844e+08 2.5051840402508748e+08 2.5068909384892836e+08 2.5088942452040258e+08 2.5112496974182406e+08 2.5140223593586227e+08 2.5172883552121589e+08 2.5211368177434722e+08 2.5256804050599688e+08 2.5311096557671401e+08 2.5376930527497587e+08 2.5455894305084649e+08 2.5549132951667726e+08 2.5658645078727341e+08 2.5787053713708827e+08 2.5937415353048396e+08 2.6113223225197771e+08 2.6318441562683234e+08 2.6557538746565729e+08 2.6835510920882148e+08 2.7157889858542848e+08 2.7530720266988981e+08 2.7960500609427392e+08 2.8454064370136470e+08 2.9018387042134333e+08 2.9660282010980427e+08 3.0443527941001928e+08 3.1329645241503829e+08 3.2322056764042413e+08 3.3420036097355431e+08 3.4617053370614606e+08 3.5899059976584697e+08 3.7243036873942602e+08 3.8616291969817352e+08 3.9977141461345685e+08 4.1277104485560399e+08 4.2464708271377939e+08 4.3494442999899292e+08 4.4333474689921665e+08 4.4960072784074402e+08 4.5371155677316809e+08 4.5581663214506805e+08 4.5618378563573664e+08 4.5515747887603730e+08 4.5309013731084937e+08 4.5033344839485395e+08 4.4715993391314399e+08 4.4381406699740958e+08 4.4044785065811199e+08 4.3720756407100284e+08 4.3415986005016762e+08 4.3134775447945148e+08 4.2881324211052305e+08 4.2654781902629745e+08 4.2453263047953540e+08 4.2276639611889255e+08 4.2120578708237737e+08 4.1984875827788925e+08 4.1866776159570485e+08 4.1765394461637831e+08 4.1677312416557151e+08 4.1598238986578858e+08 4.1527096945152563e+08 4.1461562469392318e+08 4.1397375660215151e+08 4.1351193936441261e+08 4.1304315710779792e+08 4.1256376834988809e+08 4.1206125591360492e+08 4.1154274197577226e+08 4.1099149985653013e+08 4.1043560297533619e+08 4.0981161253454524e+08 4.0914384389306849e+08 4.0842001780148417e+08 4.0763054594955754e+08 4.0676377649882442e+08 4.0580658369315362e+08 4.0473821092012793e+08 4.0357039191740400e+08 4.0224543223247719e+08 4.0075997782862729e+08 3.9909248165012020e+08 3.9721975499188757e+08 3.9511788489043403e+08 3.9276288491210508e+08 3.9012639850716949e+08 3.8722122906659061e+08 3.8398355139945614e+08 3.8043002251028717e+08 3.7656886075829166e+08 3.7243034910183823e+08 3.6806601103999007e+08 3.6357391513740599e+08 3.5909831273003757e+08 3.5488670262826711e+08 3.5122771786602819e+08 3.4859713094732201e+08 3.4764894695553184e+08 3.4933929523796880e+08 3.5505399919976765e+08 3.6689344897140032e+08 3.8818144684998894e+08 4.2453464512882239e+08 2.5364652196476033e+08 +4.7453817939313536e+00 2.5103445389614916e+08 2.5101569976740858e+08 2.5098412734100562e+08 2.5094562088847858e+08 2.5091370753750670e+08 2.5090726948576653e+08 2.5093381956234631e+08 2.5097972565064439e+08 2.5103243031288499e+08 2.5109098370115101e+08 2.5115872854967564e+08 2.5123759230725345e+08 2.5132926391703624e+08 2.5143604139177635e+08 2.5156071795420212e+08 2.5170644339757061e+08 2.5187707562287387e+08 2.5207732275471154e+08 2.5231275512743372e+08 2.5258987493903923e+08 2.5291628948631024e+08 2.5330090529575908e+08 2.5375497647019821e+08 2.5429753614364564e+08 2.5495542250482073e+08 2.5574451555230990e+08 2.5667624629470268e+08 2.5777057571978542e+08 2.5905370540747607e+08 2.6055616520501447e+08 2.6231284385642612e+08 2.6436332943364456e+08 2.6675223792755893e+08 2.6952944584188449e+08 2.7275016445616907e+08 2.7647470729080570e+08 2.8076789171034288e+08 2.8569784362879896e+08 2.9133405851878524e+08 2.9774435041683209e+08 3.0556522609846735e+08 3.1441188130260313e+08 3.2431785455039775e+08 3.3527509427185792e+08 3.4721744882431751e+08 3.6000357812172925e+08 3.7340254158296692e+08 3.8708691766304582e+08 4.0063978973546714e+08 4.1357685266552866e+08 4.2538457860007656e+08 4.3560971049922776e+08 4.4392622050864899e+08 4.5011935130170363e+08 4.5416064166150278e+08 4.5620137305028826e+08 4.5651059825026453e+08 4.5543331904936671e+08 4.5332193120606852e+08 4.5052766697082269e+08 4.4732239517928123e+08 4.4394982904513186e+08 4.4056126029733020e+08 4.3730228880132705e+08 4.3423901315640855e+08 4.3141398179002285e+08 4.2886878316998833e+08 4.2659461546247351e+08 4.2457236206184250e+08 4.2280051279928082e+08 4.2123557226769632e+08 4.1987529375650501e+08 4.1869196969709313e+08 4.1767657147546977e+08 4.1679474192006052e+08 4.1600342787288612e+08 4.1529169385726917e+08 4.1463618243684226e+08 4.1399423146636492e+08 4.1353237962092543e+08 4.1306357028349012e+08 4.1258415728211051e+08 4.1208162072688341e+08 4.1156308229445732e+08 4.1101181943320388e+08 4.1045588075395459e+08 4.0983186076825207e+08 4.0916406041185409e+08 4.0844019982766509e+08 4.0765069023030382e+08 4.0678387920489198e+08 4.0582664034468073e+08 4.0475822118821973e+08 4.0359033035945112e+08 4.0226530645226657e+08 4.0077977988283843e+08 3.9911220252831429e+08 3.9723938453735852e+08 3.9513741176175952e+08 3.9278229658246934e+08 3.9014568603517705e+08 3.8724035942482805e+08 3.8400252296445954e+08 3.8044881965473199e+08 3.7658746826303595e+08 3.7244875323953283e+08 3.6808420062889129e+08 3.6359188384301531e+08 3.5911606593359232e+08 3.5490423524253476e+08 3.5124507081385982e+08 3.4861435502510905e+08 3.4766612973603219e+08 3.4935656269856608e+08 3.5507154793375432e+08 3.6691158167386711e+08 3.8820063731008828e+08 4.2455561329417312e+08 2.5317279634388083e+08 +4.7503501167056115e+00 2.5222046052133071e+08 2.5220157436101729e+08 2.5216978022356948e+08 2.5213098736120766e+08 2.5209879201751938e+08 2.5209218745404544e+08 2.5211873456502938e+08 2.5216471840090382e+08 2.5221749762631965e+08 2.5227610523942426e+08 2.5234389321695355e+08 2.5242278925203744e+08 2.5251447903808966e+08 2.5262125836424264e+08 2.5274591880866647e+08 2.5289160768129718e+08 2.5306217995216107e+08 2.5326234078551862e+08 2.5349765707315868e+08 2.5377462669826806e+08 2.5410085173176083e+08 2.5448523182958412e+08 2.5493900923464242e+08 2.5548119609800434e+08 2.5613862013854894e+08 2.5692715768355194e+08 2.5785821998855361e+08 2.5895174264748874e+08 2.6023389819376969e+08 2.6173518095037031e+08 2.6349043565629625e+08 2.6553919560872436e+08 2.6792600839553532e+08 2.7070066493907523e+08 2.7391826936917442e+08 2.7763900090393859e+08 2.8192750886326385e+08 2.8685170945521683e+08 2.9248083796408105e+08 2.9888238799069852e+08 3.0669157862670797e+08 3.1552360306632894e+08 3.2541131045859671e+08 3.3634586337903601e+08 3.4826026015641016e+08 3.6101231119639128e+08 3.7437033202128601e+08 3.8800640841166288e+08 4.0150355422589898e+08 4.1437797704469168e+08 4.2611735675562787e+08 4.3627028235233682e+08 4.4451303857079113e+08 4.5063341248417228e+08 4.5460529001499140e+08 4.5658182546585071e+08 4.5683328214059883e+08 4.5570519249578869e+08 4.5354991526404411e+08 4.5071822247882140e+08 4.4748132726195365e+08 4.4408218170918477e+08 4.4067136629620427e+08 4.3739380213350475e+08 4.3431503462318677e+08 4.3147714585390276e+08 4.2892131907364851e+08 4.2663845561495733e+08 4.2460917808921772e+08 4.2283174737963974e+08 4.2126250245466846e+08 4.1989899578055394e+08 4.1871336113262129e+08 4.1769639444943547e+08 4.1681356546520430e+08 4.1602167908073628e+08 4.1530963731681633e+08 4.1465396414578438e+08 4.1401193479402858e+08 4.1355005147893006e+08 4.1308121821455383e+08 4.1260178418136257e+08 4.1209922686852348e+08 4.1158066740821588e+08 4.1102938747086251e+08 4.1047341076998252e+08 4.0984936541180891e+08 4.0918153780634302e+08 4.0845764757043874e+08 4.0766810550804877e+08 4.0680125870566982e+08 4.0584398019470781e+08 4.0477552178266340e+08 4.0360756700017768e+08 4.0228248773587871e+08 4.0079689894099510e+08 3.9912925156913733e+08 3.9725635477810878e+08 3.9515429339545989e+08 3.9279907877663261e+08 3.9016236171396577e+08 3.8725689743568486e+08 3.8401892385282266e+08 3.8046506990841401e+08 3.7660355472166455e+08 3.7246466403329009e+08 3.6809992608778650e+08 3.6360741848779613e+08 3.5913141501788795e+08 3.5491939198127407e+08 3.5126007237777460e+08 3.4862924532587546e+08 3.4768098506604993e+08 3.4937149138750845e+08 3.5508671964197648e+08 3.6692725809202385e+08 3.8821722894468671e+08 4.2457373932924324e+08 2.5269917964883602e+08 +4.7553184394798693e+00 2.5340358890175372e+08 2.5338457241587165e+08 2.5335255606848478e+08 2.5331347690983683e+08 2.5328100104712215e+08 2.5327423011147806e+08 2.5330077387969896e+08 2.5334683477547818e+08 2.5339968780311155e+08 2.5345834880069679e+08 2.5352617894759887e+08 2.5360510614358953e+08 2.5369681282035765e+08 2.5380359251245871e+08 2.5392823510874999e+08 2.5407388539708063e+08 2.5424439536347991e+08 2.5444446714746329e+08 2.5467966412194404e+08 2.5495647976757297e+08 2.5528251082432789e+08 2.5566664995809844e+08 2.5612012740007785e+08 2.5666193406249177e+08 2.5731888682578689e+08 2.5810685812742984e+08 2.5903723931962278e+08 2.6012994033741841e+08 2.6141110431801334e+08 2.6291118965301025e+08 2.6466499661509413e+08 2.6671200320630392e+08 2.6909668803106809e+08 2.7186875578989375e+08 2.7508320276592165e+08 2.7880007313125551e+08 2.8308384738939345e+08 2.8800223127220339e+08 2.9362419915219945e+08 3.0001692358563477e+08 3.0781432821166599e+08 3.1663160947736973e+08 3.2650092779693717e+08 3.3741266151141506e+08 3.4929896184017724e+08 3.6201679419560236e+08 3.7533373647740656e+08 3.8892138972049707e+08 4.0236270732529497e+08 4.1517441876035488e+08 4.2684541947585338e+08 4.3692614930966222e+08 4.4509520615135157e+08 4.5114291757343221e+08 4.5504550890964645e+08 4.5695799712994933e+08 4.5715184549529982e+08 4.5597310767816955e+08 4.5377409808732289e+08 4.5090512356462258e+08 4.4763673878818589e+08 4.4421113356005418e+08 4.4077817714945960e+08 4.3748211247807986e+08 4.3438793277726799e+08 4.3153725491835213e+08 4.2897085799643254e+08 4.2667934759543586e+08 4.2464308661633331e+08 4.2286010786619252e+08 4.2128658560882336e+08 4.1991987228105634e+08 4.1873194380503035e+08 4.1771342141693836e+08 4.1682960266010797e+08 4.1603715133310586e+08 4.1532480765935916e+08 4.1466897763725907e+08 4.1402687438932216e+08 4.1356496273383886e+08 4.1309610868735933e+08 4.1261665682457775e+08 4.1211408210673457e+08 4.1159550507578492e+08 4.1104421171715856e+08 4.1048820076106840e+08 4.0986413419104677e+08 4.0919628378921449e+08 4.0847236872900504e+08 4.0768279946704972e+08 4.0681592266942322e+08 4.0585861089305878e+08 4.0479012033310282e+08 4.0362210944704086e+08 4.0229698366675216e+08 4.0081134255775350e+08 3.9914363629609013e+08 3.9727067320226580e+08 3.9516853723997211e+08 3.9281323889917660e+08 3.9017643289825517e+08 3.8727085039832366e+08 3.8403276130327541e+08 3.8047878044253129e+08 3.7661712723296881e+08 3.7247808850394565e+08 3.6811319435522985e+08 3.6362052592573476e+08 3.5914436675247729e+08 3.5493217953447711e+08 3.5127272917868811e+08 3.4864180842119211e+08 3.4769351949918163e+08 3.4938408789053941e+08 3.5509952101743895e+08 3.6694048514227080e+08 3.8823122907202798e+08 4.2458903123674524e+08 2.5222567603773239e+08 +4.7602867622541272e+00 2.5458383418128464e+08 2.5456467924531844e+08 2.5453244366353106e+08 2.5449307903278142e+08 2.5446032313828024e+08 2.5445338606017318e+08 2.5447992610673845e+08 2.5452606336468089e+08 2.5457898943472070e+08 2.5463770297863421e+08 2.5470557433478206e+08 2.5478453157815126e+08 2.5487625386196783e+08 2.5498303243813491e+08 2.5510765546116906e+08 2.5525326515627542e+08 2.5542371047489727e+08 2.5562369046591458e+08 2.5585876490852240e+08 2.5613542279211885e+08 2.5646125542234948e+08 2.5684514835538146e+08 2.5729831965860826e+08 2.5783973875168920e+08 2.5849621130843794e+08 2.5928360565855920e+08 2.6021329310144520e+08 2.6130515764951342e+08 2.6258531269464326e+08 2.6408418029247367e+08 2.6583651578940731e+08 2.6788174137430662e+08 2.7026426609052265e+08 2.7303370777952188e+08 2.7624495418353367e+08 2.7995791369141954e+08 2.8423689722271407e+08 2.8914939926903844e+08 2.9476413257619762e+08 3.0114794805626982e+08 3.0893346617066228e+08 3.1773589240776789e+08 3.2758669910033923e+08 3.3847548198849142e+08 3.5033354811691052e+08 3.6301702242823517e+08 3.7629275147581977e+08 3.8983185946659476e+08 4.0321724837082869e+08 4.1596617867278421e+08 4.2756876914156026e+08 4.3757731520114660e+08 4.4567272838913912e+08 4.5164787281802183e+08 4.5548130547907245e+08 4.5732989582916617e+08 4.5746629654576814e+08 4.5623707309760571e+08 4.5399448831167448e+08 4.5108837890536302e+08 4.4778863841296279e+08 4.4433669319374806e+08 4.4088170137448084e+08 4.3756722826770502e+08 4.3445771596622604e+08 4.3159431725041312e+08 4.2901740813283104e+08 4.2671729953272593e+08 4.2467409571550995e+08 4.2288560228303504e+08 4.2130782971262228e+08 4.1993793120551151e+08 4.1874772563209748e+08 4.1772766027298039e+08 4.1684286138082439e+08 4.1604985248922819e+08 4.1533721272981691e+08 4.1468123074363166e+08 4.1403905807176232e+08 4.1357712119652903e+08 4.1310824950395948e+08 4.1262878300571358e+08 4.1212619422522146e+08 4.1160760307108766e+08 4.1105629993581510e+08 4.1050025847946948e+08 4.0987617484695464e+08 4.0920830608926553e+08 4.0848437101839453e+08 4.0769477980739784e+08 4.0682787878014332e+08 4.0587054010522205e+08 4.0480202448517531e+08 4.0363396532382923e+08 4.0230880184241551e+08 4.0082311830410600e+08 3.9915536424807858e+08 3.9728234731352633e+08 3.9518015075894839e+08 3.9282478436835861e+08 3.9018790695748550e+08 3.8728222562815332e+08 3.8404404256891686e+08 3.8048995844331294e+08 3.7662819291028935e+08 3.7248903368626136e+08 3.6812401238365036e+08 3.6363121302471006e+08 3.5915492792068803e+08 3.5494260460564780e+08 3.5128304785137254e+08 3.4865205089568275e+08 3.4770373960255539e+08 3.4939435880711818e+08 3.5510995876733327e+08 3.6695126975523967e+08 3.8824264502436614e+08 4.2460149703601855e+08 2.5175228964765647e+08 +4.7652550850283850e+00 2.5576117409306911e+08 2.5574188629334733e+08 2.5570943206323045e+08 2.5566978201366380e+08 2.5563674694030488e+08 2.5562964398820090e+08 2.5565617993524042e+08 2.5570239285143262e+08 2.5575539120405528e+08 2.5581415645777953e+08 2.5588206806343445e+08 2.5596105424295253e+08 2.5605279085355774e+08 2.5615956683467802e+08 2.5628416856368449e+08 2.5642973566191217e+08 2.5660011399540538e+08 2.5679999945767307e+08 2.5703494815879765e+08 2.5731144450906414e+08 2.5763707427587295e+08 2.5802071578658372e+08 2.5847357479386479e+08 2.5901459897176909e+08 2.5967058242032883e+08 2.6045738914330709e+08 2.6138637024004748e+08 2.6247738353619847e+08 2.6375651233126166e+08 2.6525414194164139e+08 2.6700498232928258e+08 2.6904839935460854e+08 2.7142873192478532e+08 2.7419551038740927e+08 2.7740351325519389e+08 2.8111251239888173e+08 2.8538664839345342e+08 2.9029320373306108e+08 2.9590062882812709e+08 3.0227545235637832e+08 3.1004898392180723e+08 3.1883644383186847e+08 3.2866861700574821e+08 3.3953431823283893e+08 3.5136401333157474e+08 3.6401299130744773e+08 3.7724737364391828e+08 3.9073781562703311e+08 4.0406717679675037e+08 4.1675325773419845e+08 4.2828740822114903e+08 4.3822378393735921e+08 4.4624561049358743e+08 4.5214828453144079e+08 4.5591268691188210e+08 4.5769752939972550e+08 4.5777664356549466e+08 4.5649709729103285e+08 4.5421109460589325e+08 4.5126799720582157e+08 4.4793703481659645e+08 4.4445886922943783e+08 4.4098194751092607e+08 4.3764915795532203e+08 4.3452439255714989e+08 4.3164834113606840e+08 4.2906097769485611e+08 4.2675231957337284e+08 4.2470221347616118e+08 4.2290823867062193e+08 4.2132624276454508e+08 4.1995318051784581e+08 4.1876071454978770e+08 4.1773911892936450e+08 4.1685334951879263e+08 4.1605979042341787e+08 4.1534686038906020e+08 4.1469073131266236e+08 4.1404849367779827e+08 4.1358653469421840e+08 4.1311764848284549e+08 4.1263817053325707e+08 4.1213557102323329e+08 4.1161696918337625e+08 4.1106565990636849e+08 4.1050959169465309e+08 4.0988549513631189e+08 4.0921761245083392e+08 4.0849366216878533e+08 4.0770405424505043e+08 4.0683713473637384e+08 4.0587977551260781e+08 4.0481124189964521e+08 4.0364314226898682e+08 4.0231794987711334e+08 4.0083223376428413e+08 3.9916444297856051e+08 3.9729138463055849e+08 3.9518914143117237e+08 3.9283372261942595e+08 3.9019679127611250e+08 3.8729103045340633e+08 3.8405277491771990e+08 3.8049861111163414e+08 3.7663675888142836e+08 3.7249750663019401e+08 3.6813238714014173e+08 3.6363948666640931e+08 3.5916310531939614e+08 3.5495067391206616e+08 3.5129103504389876e+08 3.4865997934790272e+08 3.4771165195657885e+08 3.4940231074848109e+08 3.5511803961193115e+08 3.6695961887540269e+08 3.8825148414992058e+08 4.2461114476285273e+08 2.5127902459471175e+08 +4.7702234078026429e+00 2.5693559850188220e+08 2.5691618348587313e+08 2.5688350951118237e+08 2.5684357521008575e+08 2.5681026128407526e+08 2.5680299266341764e+08 2.5682952414067265e+08 2.5687581201045999e+08 2.5692888188414881e+08 2.5698769801314655e+08 2.5705564890885690e+08 2.5713466291606867e+08 2.5722641257583943e+08 2.5733318448626086e+08 2.5745776320493436e+08 2.5760328570809296e+08 2.5777359472550282e+08 2.5797338293041611e+08 2.5820820268984449e+08 2.5848453374615094e+08 2.5880995622595587e+08 2.5919334110856333e+08 2.5964588168187568e+08 2.6018650362078315e+08 2.6084198908676222e+08 2.6162819754069206e+08 2.6255645973343000e+08 2.6364660704207230e+08 2.6492469232795918e+08 2.6642106376596582e+08 2.6817038547799721e+08 2.7021196648273861e+08 2.7259007497806418e+08 2.7535415318771642e+08 2.7855886970863307e+08 2.8226385916413689e+08 2.8653309102888644e+08 2.9143363504891992e+08 2.9703367859853578e+08 3.0339942753951854e+08 3.1116087298374397e+08 3.1993325582481122e+08 3.2974667425261766e+08 3.4058916377054673e+08 3.5239035193189180e+08 3.6500469634816855e+08 3.7819759970985466e+08 3.9163925627766234e+08 4.0491249213323468e+08 4.1753565698737544e+08 4.2900133926794571e+08 4.3886555950657451e+08 4.4681385774572521e+08 4.5264415908935058e+08 4.5633966045312351e+08 4.5806090572669005e+08 4.5808289487075657e+08 4.5675318883404797e+08 4.5442392567144853e+08 4.5144398720179540e+08 4.4808193670735133e+08 4.4457767031237262e+08 4.4107892412148649e+08 4.3772791001539946e+08 4.3458797093722218e+08 4.3169933488021594e+08 4.2910157491252720e+08 4.2678441588187897e+08 4.2472744800529373e+08 4.2292802508592194e+08 4.2134183277955025e+08 4.1996562819823700e+08 4.1877091850813109e+08 4.1774780531224585e+08 4.1686107498159087e+08 4.1606697302731913e+08 4.1535375851348472e+08 4.1469748720817381e+08 4.1405518905791807e+08 4.1359321106896371e+08 4.1312431345728016e+08 4.1264482723177427e+08 4.1214222031575799e+08 4.1162361121808600e+08 4.1107229942257518e+08 4.1051620819015640e+08 4.0989210283135659e+08 4.0922421063306528e+08 4.0850024992658943e+08 4.0771063051048040e+08 4.0684369825316536e+08 4.0588632481106770e+08 4.0481778025231719e+08 4.0364964793644083e+08 4.0232443539882565e+08 4.0083869654004520e+08 3.9917088005705982e+08 3.9729779268630308e+08 3.9519551675044096e+08 3.9284006110066712e+08 3.9020309325252932e+08 3.8729727221856612e+08 3.8405896563251227e+08 3.8050474566214103e+08 3.7664283228832805e+08 3.7250351439791316e+08 3.6813832560489583e+08 3.6364535374614465e+08 3.5916890575916523e+08 3.5495639418465257e+08 3.5129669741725540e+08 3.4866560038893867e+08 3.4771726315424204e+08 3.4940795034080940e+08 3.5512377028519094e+08 3.6696553946092141e+08 3.8825775381011420e+08 4.2461798246874428e+08 2.5080588497405747e+08 +4.7751917305769007e+00 2.5810710775589791e+08 2.5808755903870311e+08 2.5805466415879077e+08 2.5801444751179409e+08 2.5798085513152021e+08 2.5797342093953067e+08 2.5799994758345908e+08 2.5804630970835701e+08 2.5809945034029210e+08 2.5815831651124853e+08 2.5822630573758626e+08 2.5830534646705911e+08 2.5839710790079334e+08 2.5850387426817611e+08 2.5862842826440784e+08 2.5877390417959759e+08 2.5894414155630106e+08 2.5914382978370932e+08 2.5937851740998441e+08 2.5965467942309028e+08 2.5997989020493901e+08 2.6036301326950085e+08 2.6081522928891006e+08 2.6135544168846303e+08 2.6201042032507092e+08 2.6279601990064254e+08 2.6372355067128202e+08 2.6481281730429715e+08 2.6608984187729514e+08 2.6758493502428079e+08 2.6933271457240474e+08 2.7137243218785942e+08 2.7374828478971237e+08 2.7650962584953040e+08 2.7971101336725068e+08 2.8341194399349207e+08 2.8767621535315794e+08 2.9257068369864154e+08 2.9816327267599100e+08 3.0451986475776255e+08 3.1226912497471529e+08 3.2102632056339270e+08 3.3082086368210459e+08 3.4164001222956544e+08 3.5341255846852529e+08 3.6599213316806442e+08 3.7914342650389659e+08 3.9253617959473646e+08 4.0575319400608331e+08 4.1831337756768465e+08 4.2971056492053246e+08 4.3950264597636372e+08 4.4737747549650025e+08 4.5313550293069994e+08 4.5676223340294725e+08 4.5842003274220401e+08 4.5838505881989223e+08 4.5700535633802629e+08 4.5463299024213749e+08 4.5161635765657628e+08 4.4822335281805795e+08 4.4469310510946220e+08 4.4117263979045296e+08 4.3780349294326001e+08 4.3464845951282495e+08 4.3174730680619282e+08 4.2913920803449064e+08 4.2681359664000815e+08 4.2474980742591667e+08 4.2294496960257220e+08 4.2135460778916639e+08 4.1997528224193388e+08 4.1877834547338903e+08 4.1775372736445564e+08 4.1686604569173521e+08 4.1607140820601696e+08 4.1535791499435967e+08 4.1470150630839181e+08 4.1405915207871681e+08 4.1359715817862171e+08 4.1312825227586734e+08 4.1264876094074798e+08 4.1214614993273419e+08 4.1162753699518722e+08 4.1107622629488683e+08 4.1052011576514781e+08 4.0989600571973854e+08 4.0922810841073835e+08 4.0850414205210924e+08 4.0771451634927177e+08 4.0684757705927986e+08 4.0589019571194869e+08 4.0482164723446113e+08 4.0365348999443072e+08 4.0232826605190152e+08 4.0084251424627435e+08 3.9917468306688559e+08 3.9730157902842647e+08 3.9519928422439349e+08 3.9284380727558148e+08 3.9020682030022562e+08 3.8730095828126663e+08 3.8406262200931853e+08 3.8050836932414794e+08 3.7664642028600293e+08 3.7250706406774604e+08 3.6814183477205604e+08 3.6364882117244858e+08 3.5917233606361789e+08 3.5495977216646534e+08 3.5130004164551806e+08 3.4866892064283055e+08 3.4772057980166692e+08 3.4941128422199476e+08 3.5512715753332347e+08 3.6696903848367459e+08 3.8826146138122964e+08 4.2462201822016531e+08 2.5033287485994706e+08 +4.7801600533511586e+00 2.5927568141272980e+08 2.5925599966890740e+08 2.5922288746396637e+08 2.5918238783631033e+08 2.5914851750509301e+08 2.5914091776424763e+08 2.5916743920890033e+08 2.5921387490197304e+08 2.5926708552739236e+08 2.5932600090881392e+08 2.5939402750663236e+08 2.5947309385557410e+08 2.5956486579128420e+08 2.5967162514602855e+08 2.5979615271296412e+08 2.5994158005237621e+08 2.6011174347013247e+08 2.6031132900711861e+08 2.6054588131834736e+08 2.6082187054999807e+08 2.6114686523665109e+08 2.6152972130866352e+08 2.6198160667335057e+08 2.6252140225557911e+08 2.6317586524405739e+08 2.6396084536601222e+08 2.6488763223629636e+08 2.6597600355183598e+08 2.6725195026429975e+08 2.6874574506745887e+08 2.7049195904205686e+08 2.7252978599231869e+08 2.7490335099197209e+08 2.7766191813579202e+08 2.8085993414922053e+08 2.8455675698922527e+08 2.8881601168612093e+08 2.9370434026161128e+08 2.9928940194717407e+08 3.0563675526269048e+08 3.1337373161373067e+08 3.2211563032503712e+08 3.3189117823757201e+08 3.4268685734061682e+08 3.5443062759426278e+08 3.6697529748655009e+08 3.8008485095659220e+08 3.9342858385175848e+08 4.0658928213662714e+08 4.1908642069963038e+08 4.3041508790212446e+08 4.4013504749068117e+08 4.4793646916795009e+08 4.5362232255671370e+08 4.5718041311556590e+08 4.5877491842719120e+08 4.5868314381257182e+08 4.5725360845159709e+08 4.5483829708461654e+08 4.5178511736272699e+08 4.4836129190844405e+08 4.4480518231299907e+08 4.4126310312419099e+08 4.3787591525385332e+08 4.3470586671001250e+08 4.3179226525590497e+08 4.2917388532616305e+08 4.2683987004579699e+08 4.2476929987758029e+08 4.2295908031006306e+08 4.2136457584012264e+08 4.1998215066015279e+08 4.1878300342775637e+08 4.1775689304332328e+08 4.1686826958695143e+08 4.1607310388118166e+08 4.1535933773879015e+08 4.1470279650758469e+08 4.1406039062169701e+08 4.1359838389572275e+08 4.1312947280231440e+08 4.1264997951488656e+08 4.1214736771901530e+08 4.1162875434979516e+08 4.1107744834789842e+08 4.1052132223339689e+08 4.0989721160306954e+08 4.0922931357344973e+08 4.0850534632123405e+08 4.0771571952241850e+08 4.0684877889933097e+08 4.0589139594120568e+08 4.0482285055157411e+08 4.0365467612677091e+08 4.0232944949390292e+08 4.0084369451242012e+08 3.9917585960597771e+08 3.9730275122049612e+08 3.9520045137560380e+08 3.9284496862175435e+08 3.9020797984670877e+08 3.8730209601383364e+08 3.8406375135869503e+08 3.8050948934018105e+08 3.7664753004422337e+08 3.7250816272913617e+08 3.6814292164907312e+08 3.6364989586708999e+08 3.5917340306926650e+08 3.5496081461418879e+08 3.5130107441555125e+08 3.4866994674635875e+08 3.4772160851762307e+08 3.4941231904290527e+08 3.5512820811658156e+08 3.6697012292860729e+08 3.8826261425363612e+08 4.2462326009997058e+08 2.4985999830576596e+08 +4.7851283761254164e+00 2.6044130877946338e+08 2.6042149642767715e+08 2.6038816881543100e+08 2.6034738557093051e+08 2.6031323736062104e+08 2.6030547218448222e+08 2.6033198805046487e+08 2.6037849663811696e+08 2.6043177649118611e+08 2.6049074025349295e+08 2.6055880326413685e+08 2.6063789413219079e+08 2.6072967530082461e+08 2.6083642617673120e+08 2.6096092561191419e+08 2.6110630239317793e+08 2.6127638954023355e+08 2.6147586968193942e+08 2.6171028350540850e+08 2.6198609622852454e+08 2.6231087043557355e+08 2.6269345435658908e+08 2.6314500298479521e+08 2.6368437449451238e+08 2.6433831304379380e+08 2.6512266317034289e+08 2.6604869370178577e+08 2.6713615510615888e+08 2.6841100686636755e+08 2.6990348333958483e+08 2.7164810840943217e+08 2.7368401751212877e+08 2.7605526331172162e+08 2.7881101990442818e+08 2.8200562206750584e+08 2.8569828834861404e+08 2.8995247044473368e+08 2.9483459541413069e+08 3.0041205739699221e+08 3.0675009040438682e+08 3.1447468471880758e+08 3.2320117748752880e+08 3.3295761096348637e+08 3.4372969293569475e+08 3.5544455406481045e+08 3.6795418512528700e+08 3.8102187009914643e+08 3.9431646742116356e+08 4.0742075634108841e+08 4.1985478769942969e+08 4.3111491102073342e+08 4.4076276827178192e+08 4.4849084425143343e+08 4.5410462453025877e+08 4.5759420700035346e+08 4.5912557080913073e+08 4.5897715828988469e+08 4.5749795385787660e+08 4.5503985499583673e+08 4.5195027514100856e+08 4.4849576276278138e+08 4.4491391063771611e+08 4.4135032275046903e+08 4.3794518548280334e+08 4.3476020097299719e+08 4.3183421858914089e+08 4.2920561507032216e+08 4.2686324431431371e+08 4.2478593351625800e+08 4.2297036531363797e+08 4.2137174499423802e+08 4.1998624147973210e+08 4.1878490036764973e+08 4.1775731032174915e+08 4.1686775461992562e+08 4.1607206798856556e+08 4.1535803466798300e+08 4.1470136571404541e+08 4.1405891258265257e+08 4.1359689610719758e+08 4.1312798291474795e+08 4.1264849082296056e+08 4.1214588153413850e+08 4.1162727113137037e+08 4.1107597342046577e+08 4.1051983542409211e+08 4.0989572829822713e+08 4.0922783392492557e+08 4.0850387052379519e+08 4.0771424780485523e+08 4.0684731153149629e+08 4.0588993323891246e+08 4.0482139792308456e+08 4.0365321403075719e+08 4.0232799339718622e+08 4.0084224498249590e+08 3.9917441728663659e+08 3.9730131683804250e+08 3.9519902574066371e+08 3.9284355263028860e+08 3.9020657933288187e+08 3.8730069280170250e+08 3.8406236100456762e+08 3.8050811296648866e+08 3.7664616874497551e+08 3.7250681748589206e+08 3.6814159325594294e+08 3.6364858476491892e+08 3.5917211362566864e+08 3.5495952829692006e+08 3.5129980242638963e+08 3.4866868534852892e+08 3.4772035593323350e+08 3.4941106146643227e+08 3.5512692880677944e+08 3.6696879979378366e+08 3.8826121983184290e+08 4.2462171620543391e+08 2.4938725934407184e+08 +4.7900966988996743e+00 2.6160398015821663e+08 2.6158403683427870e+08 2.6155049240304190e+08 2.6150942911422056e+08 2.6147500366188884e+08 2.6146707333982205e+08 2.6149358323090717e+08 2.6154016405300581e+08 2.6159351236783308e+08 2.6165252368304062e+08 2.6172062214846140e+08 2.6179973643849340e+08 2.6189152557342133e+08 2.6199826650804770e+08 2.6212273611332631e+08 2.6226806035932219e+08 2.6243806893032587e+08 2.6263744097980323e+08 2.6287171315228006e+08 2.6314734565064874e+08 2.6347189500762245e+08 2.6385420163503841e+08 2.6430540746356684e+08 2.6484434766878784e+08 2.6549775301630610e+08 2.6628146263932097e+08 2.6720672443365127e+08 2.6829326138052440e+08 2.6956700115323138e+08 2.7105813937700927e+08 2.7280115229023159e+08 2.7483511645667827e+08 2.7720401156905115e+08 2.7995692110735697e+08 2.8314806723037398e+08 2.8683652836520135e+08 2.9108558214123535e+08 2.9596143992926872e+08 3.0153123010732377e+08 3.0785986163188344e+08 3.1557197620785421e+08 3.2428295452951258e+08 3.3402015500506812e+08 3.4476851294918531e+08 3.5645433273679447e+08 3.6892879200682116e+08 3.8195448106286186e+08 3.9519982877373719e+08 4.0824761652960831e+08 4.2061847997187001e+08 4.3181003716733509e+08 4.4138581261838710e+08 4.4904060630735260e+08 4.5458241547562611e+08 4.5800362251955134e+08 4.5947199796222013e+08 4.5926711073292398e+08 4.5773840127734935e+08 4.5523767280474830e+08 4.5211183983933711e+08 4.4862677419119972e+08 4.4501929882130700e+08 4.4143430731836104e+08 4.3801131218506360e+08 4.3481147076548254e+08 4.3187317518308210e+08 4.2923440556749427e+08 4.2688372767678595e+08 4.2479971651398778e+08 4.2297883273429406e+08 4.2137612332962900e+08 4.1998756274192363e+08 4.1878404430481124e+08 4.1775498718679249e+08 4.1686450875838780e+08 4.1606830847873104e+08 4.1535401371772683e+08 4.1469722185059357e+08 4.1405472587255967e+08 4.1359270271532816e+08 4.1312379050626945e+08 4.1264430274919951e+08 4.1214169925244492e+08 4.1162309520436841e+08 4.1107180936604440e+08 4.1051566317956370e+08 4.0989156363606143e+08 4.0922367728307348e+08 4.0849972246474832e+08 4.0771010898596144e+08 4.0684318272838789e+08 4.0588581535967916e+08 4.0481729708386886e+08 4.0364911141836208e+08 4.0232390544839418e+08 4.0083817331486332e+08 3.9917036373509413e+08 3.9729728347186571e+08 3.9519501486946893e+08 3.9283956680686170e+08 3.9020262621389925e+08 3.8729675604437077e+08 3.8405845828413349e+08 3.8050424747287488e+08 3.7664234358471209e+08 3.7250303545525706e+08 3.6813785662631595e+08 3.6364489481382185e+08 3.5916847459448427e+08 3.5495591999614620e+08 3.5129623238975185e+08 3.4866514311070055e+08 3.4771682869138938e+08 3.4940751816883105e+08 3.5512332638884908e+08 3.6696507609019387e+08 3.8825728553300005e+08 4.2461739464900607e+08 2.4891466198663226e+08 +4.7950650216739321e+00 2.6276368620214680e+08 2.6274361325951463e+08 2.6270984939416221e+08 2.6266850712109828e+08 2.6263380559138280e+08 2.6262571045587614e+08 2.6265221396775168e+08 2.6269886637134996e+08 2.6275228238313466e+08 2.6281134042506662e+08 2.6287947338926360e+08 2.6295861000610688e+08 2.6305040584411281e+08 2.6315713537772432e+08 2.6328157345966622e+08 2.6342684319899753e+08 2.6359677089493996e+08 2.6379603216288441e+08 2.6403015953058213e+08 2.6430560809991041e+08 2.6462992824920827e+08 2.6501195245653465e+08 2.6546280944150591e+08 2.6600131113346934e+08 2.6665417454442957e+08 2.6743723318974841e+08 2.6836171388934186e+08 2.6944731187981147e+08 2.7071992268637431e+08 2.7220970280868047e+08 2.7395108039253771e+08 2.7598307262806702e+08 2.7834958567774695e+08 2.8109961179055113e+08 2.8428725984017372e+08 2.8797146742693770e+08 2.9221533738475919e+08 2.9708486467725211e+08 3.0264691125855607e+08 3.0896606049231774e+08 3.1666559809791464e+08 3.2536095402963579e+08 3.3507880360902637e+08 3.4580331141678959e+08 3.5745995856924117e+08 3.6989911415517974e+08 3.8288268107920313e+08 3.9607866647640365e+08 4.0906986270705956e+08 4.2137749901081502e+08 4.3250046931646943e+08 4.4200418490547991e+08 4.4958576096447599e+08 4.5505570207838511e+08 4.5840866718876946e+08 4.5981420800752127e+08 4.5955300966377038e+08 4.5797495946402574e+08 4.5543175937149084e+08 4.5226982033410180e+08 4.4875433502851778e+08 4.4512135562367457e+08 4.4151506549714381e+08 4.3807430393498296e+08 4.3485968456921923e+08 4.3190914343298995e+08 4.2926026513396537e+08 4.2690132838136321e+08 4.2481065705779779e+08 4.2298449070809436e+08 4.2137771893893534e+08 4.1998612250295460e+08 4.1878044326557839e+08 4.1774993164063019e+08 4.1685853998375338e+08 4.1606183331637704e+08 4.1534728283887392e+08 4.1469037285502940e+08 4.1404783841638571e+08 4.1358581163610530e+08 4.1311690348408663e+08 4.1263742319077092e+08 4.1213482876185787e+08 4.1161623444716042e+08 4.1106496405317938e+08 4.1050881335715395e+08 4.0988472546184862e+08 4.0921685148081535e+08 4.0849290996201617e+08 4.0770331086929077e+08 4.0683640027767581e+08 4.0587905007193238e+08 4.0481055578126138e+08 4.0364237601513594e+08 4.0231719334741598e+08 4.0083148718134296e+08 3.9916370659116274e+08 3.9729065872584665e+08 3.9518842632582128e+08 3.9283301867044866e+08 3.9019612795813560e+08 3.8729029315458047e+08 3.8405205054882342e+08 3.8049790014166653e+08 3.7663606177181625e+08 3.7249682376634729e+08 3.6813171880640590e+08 3.6363883297318536e+08 3.5916249285076165e+08 3.5494999650508475e+08 3.5129037102925938e+08 3.4865932670615774e+08 3.4771103344741815e+08 3.4940169583727539e+08 3.5511740765985763e+08 3.6695895884129357e+08 3.8825081878858787e+08 4.2461030355769861e+08 2.4844221022446507e+08 +4.8000333444481900e+00 2.6392041582889298e+08 2.6390021166686225e+08 2.6386623350277320e+08 2.6382460957848433e+08 2.6378963249078161e+08 2.6378137284194365e+08 2.6380786957276982e+08 2.6385459290737352e+08 2.6390807585378885e+08 2.6396717979823589e+08 2.6403534630625299e+08 2.6411450415709880e+08 2.6420630543768346e+08 2.6431302211434990e+08 2.6443742698445997e+08 2.6458264025073642e+08 2.6475248477947319e+08 2.6495163258461514e+08 2.6518561200317311e+08 2.6546087295010418e+08 2.6578495954807994e+08 2.6616669622451672e+08 2.6661719834125090e+08 2.6715525433408096e+08 2.6780756710228434e+08 2.6858996432983863e+08 2.6951365161703426e+08 2.7059829620090526e+08 2.7186976111978060e+08 2.7335816335560018e+08 2.7509788251730943e+08 2.7712787592172176e+08 2.7949197564500564e+08 2.8223908209362531e+08 2.8542319019391501e+08 2.8910309601712441e+08 2.9334172687928641e+08 2.9820486062462449e+08 3.0375909212753671e+08 3.1006867863073874e+08 3.1775554250533760e+08 3.2643516866656393e+08 3.3613355012281644e+08 3.4683408247477818e+08 3.5846142662145132e+08 3.7086514769433033e+08 3.8380646747797698e+08 3.9695297919419026e+08 4.0988749497100359e+08 4.2213184639991999e+08 4.3318621052577984e+08 4.4261788958372319e+08 4.5012631392034173e+08 4.5552449108299494e+08 4.5880934857702613e+08 4.6015220911224079e+08 4.5983486364423466e+08 4.5820763720695144e+08 4.5562212358629960e+08 4.5242422552848834e+08 4.4887845413332808e+08 4.4522008982775521e+08 4.4159260597762030e+08 4.3813416932755715e+08 4.3490485088421774e+08 4.3194213175099969e+08 4.2928320210338604e+08 4.2691605469141269e+08 4.2481876335142726e+08 4.2298734738650459e+08 4.2137653992939645e+08 4.1998192883398259e+08 4.1877410529025704e+08 4.1774215169889247e+08 4.1684985629230636e+08 4.1605265048067230e+08 4.1533784999554783e+08 4.1468082667862225e+08 4.1403825815289932e+08 4.1357623079927701e+08 4.1310732976841414e+08 4.1262786005991489e+08 4.1212527796508288e+08 4.1160669675186872e+08 4.1105544536271232e+08 4.1049929382798958e+08 4.0987522163472396e+08 4.0920736436439937e+08 4.0848344084847200e+08 4.0769386127180612e+08 4.0682697197913444e+08 4.0586964515835220e+08 4.0480118177770251e+08 4.0363301556067258e+08 4.0230786480877334e+08 4.0082219426759320e+08 3.9915445350866103e+08 3.9728145021750748e+08 3.9517926768760103e+08 3.9282391575274009e+08 3.9018709204728812e+08 3.8728131155820036e+08 3.8404314516211164e+08 3.8048907826888162e+08 3.7662733052808160e+08 3.7248818956147540e+08 3.6812318685451144e+08 3.6363040621586192e+08 3.5915417528042763e+08 3.5494176463013721e+08 3.5128222508068782e+08 3.4865124281992716e+08 3.4770297686845553e+08 3.4939360117112166e+08 3.5510917942831475e+08 3.6695045508344752e+08 3.8824182704296857e+08 4.2460045107283795e+08 2.4796990802787760e+08 +4.8050016672224478e+00 2.6507415496015799e+08 2.6505382219241685e+08 2.6501962777909079e+08 2.6497772575747564e+08 2.6494247381273943e+08 2.6493404989179918e+08 2.6496053945201692e+08 2.6500733306477329e+08 2.6506088218585023e+08 2.6512003121039549e+08 2.6518823030962670e+08 2.6526740830476210e+08 2.6535921377011994e+08 2.6546591613700986e+08 2.6559028611096090e+08 2.6573544094398052e+08 2.6590520001941860e+08 2.6610423168880481e+08 2.6633806002320495e+08 2.6661312966575834e+08 2.6693697838165939e+08 2.6731842243324864e+08 2.6776856367637876e+08 2.6830616680778480e+08 2.6895792025536263e+08 2.6973964565944350e+08 2.7066252725770217e+08 2.7174620403268635e+08 2.7301650619914597e+08 2.7450351083082223e+08 2.7624154855802870e+08 2.7826951632612336e+08 2.8063117157173568e+08 2.8337532225052559e+08 2.8655584868312490e+08 2.9023140471452904e+08 2.9446474142516935e+08 2.9932141883401686e+08 3.0486776408913988e+08 3.1116770779090983e+08 3.1884180164514279e+08 3.2750559121863449e+08 3.3718438799382335e+08 3.4786082036109442e+08 3.5945873205388337e+08 3.7182688884959161e+08 3.8472583768868631e+08 3.9782276568849111e+08 4.1070051351270831e+08 4.2288152381004524e+08 4.3386726393444520e+08 4.4322693117923772e+08 4.5066227093931907e+08 4.5598878929604131e+08 4.5920567430536431e+08 4.6048600948802149e+08 4.6011268127513665e+08 4.5843644333057833e+08 4.5580877436976057e+08 4.5257506435155946e+08 4.4899914038934135e+08 4.4531551023848677e+08 4.4166693747061229e+08 4.3819091697445905e+08 4.3494697822785985e+08 4.3197214856634444e+08 4.2930322482467425e+08 4.2692791488633138e+08 4.2482404361244786e+08 4.2298741093534732e+08 4.2137259442332631e+08 4.1997498981999612e+08 4.1876503843416798e+08 4.1773165539199275e+08 4.1683846569389278e+08 4.1604076796447998e+08 4.1532572316613978e+08 4.1466859128695768e+08 4.1402599303473550e+08 4.1356396814889079e+08 4.1309507729488039e+08 4.1261562128216451e+08 4.1211305477774477e+08 4.1159449002449483e+08 4.1104326119057822e+08 4.1048711247682244e+08 4.0986306002731812e+08 4.0919522379342985e+08 4.0847132296989864e+08 4.0768176802447146e+08 4.0681490564771026e+08 4.0585760841426718e+08 4.0478918284815156e+08 4.0362103780737525e+08 4.0229592755948710e+08 4.0081030227235311e+08 3.9914261215418553e+08 3.9726966557802474e+08 3.9516754654489070e+08 3.9281226559924918e+08 3.9017552597566479e+08 3.8726981869397217e+08 3.8403174950057548e+08 3.8047778916270089e+08 3.7661615708769405e+08 3.7247713999562478e+08 3.6811226784152436e+08 3.6361962152639556e+08 3.5914352878242874e+08 3.5493123118886626e+08 3.5127180129113525e+08 3.4864089814891553e+08 3.4769266563297457e+08 3.4938324088116968e+08 3.5509864851566136e+08 3.6693957186480188e+08 3.8823031775326967e+08 4.2458784535025567e+08 2.4749775934650669e+08 +4.8099699899967057e+00 2.6622489763889498e+08 2.6620443629899755e+08 2.6617002594126081e+08 2.6612784629503989e+08 2.6609231915462089e+08 2.6608373108373493e+08 2.6611021310309353e+08 2.6615707633619887e+08 2.6621069087584642e+08 2.6626988416023746e+08 2.6633811490011337e+08 2.6641731195114982e+08 2.6650912034719312e+08 2.6661580695498198e+08 2.6674014035342124e+08 2.6688523479774073e+08 2.6705490614071581e+08 2.6725381900882608e+08 2.6748749313426405e+08 2.6776236780194253e+08 2.6808597431909904e+08 2.6846712066771173e+08 2.6891689505127633e+08 2.6945403818221724e+08 2.7010522365999305e+08 2.7088626686920559e+08 2.7180833054278469e+08 2.7289102515483087e+08 2.7416014776161849e+08 2.7564573513995844e+08 2.7738206850006825e+08 2.7940798392194492e+08 2.8176716365125668e+08 2.8450832258826345e+08 2.8768522579364353e+08 2.9135638419251299e+08 2.9558437191773140e+08 3.0043453046478182e+08 3.0597291861433309e+08 3.1226313981364942e+08 3.1992436783123755e+08 3.2857221456344390e+08 3.3823131076968014e+08 3.4888351941340727e+08 3.6045187012802440e+08 3.7278433394503129e+08 3.8564078923979169e+08 3.9868802481687683e+08 4.1150891861570567e+08 4.2362653300020546e+08 4.3454363276394731e+08 4.4383131429343539e+08 4.5119363785436863e+08 4.5644860358190453e+08 4.5959765204708540e+08 4.6081561739282411e+08 4.6038647119696766e+08 4.5866138669234437e+08 4.5599172067202085e+08 4.5272234576068074e+08 4.4911640270377791e+08 4.4540762568197924e+08 4.4173806870609140e+08 4.3824455550805992e+08 4.3498607513579953e+08 4.3199920232480180e+08 4.2932034166394001e+08 4.2693691726025337e+08 4.2482650607406950e+08 4.2298468953573155e+08 4.2136589055638188e+08 4.1996531356044012e+08 4.1875325076590323e+08 4.1771845076406348e+08 4.1682437621230423e+08 4.1602619377478164e+08 4.1531091034286910e+08 4.1465367465813076e+08 4.1401105102838981e+08 4.1354903164199555e+08 4.1308015401171345e+08 4.1260071479696608e+08 4.1209816712934816e+08 4.1157962218460935e+08 4.1102841944590753e+08 4.1047227720155507e+08 4.0984824852594012e+08 4.0918043764162320e+08 4.0845656418565625e+08 4.0766703897189474e+08 4.0680020910997140e+08 4.0584294764901912e+08 4.0477456678132945e+08 4.0360645052186418e+08 4.0228138934037662e+08 4.0079581890753394e+08 3.9912819020767790e+08 3.9725531245165038e+08 3.9515327050140196e+08 3.9279807576815617e+08 3.9016143725084192e+08 3.8725582201334721e+08 3.8401787095307732e+08 3.8046404014375073e+08 3.7660254869687217e+08 3.7246368223476207e+08 3.6809896885030264e+08 3.6360648590075636e+08 3.5913056026698864e+08 3.5491840301026475e+08 3.5125910641975838e+08 3.4862829940156227e+08 3.4768010643079770e+08 3.4937062169060981e+08 3.5508582175401187e+08 3.6692631624562299e+08 3.8821629838946819e+08 4.2457249455899006e+08 2.4702576810935819e+08 +4.8149383127709635e+00 2.6737263145258966e+08 2.6735204146636811e+08 2.6731741722286722e+08 2.6727495986023092e+08 2.6723915820526293e+08 2.6723040597831005e+08 2.6725688011278281e+08 2.6730381230528304e+08 2.6735749151045257e+08 2.6741672823545447e+08 2.6748498966818914e+08 2.6756420468959230e+08 2.6765601476450771e+08 2.6776268416794249e+08 2.6788697931570438e+08 2.6803201142192686e+08 2.6820159276019508e+08 2.6840038416994736e+08 2.6863390097030538e+08 2.6890857700426912e+08 2.6923193701985586e+08 2.6961278060321975e+08 2.7006218216087079e+08 2.7059885817573249e+08 2.7124946706349570e+08 2.7202981774090081e+08 2.7295105129506147e+08 2.7403274943885630e+08 2.7530067573633373e+08 2.7678482628021646e+08 2.7851943242176962e+08 2.8054326888286138e+08 2.8289994217096210e+08 2.8563807352815843e+08 2.8881131210476214e+08 2.9247802521822429e+08 2.9670060934808135e+08 3.0154418677197808e+08 3.0707454727157575e+08 3.1335496663773334e+08 3.2100323347560030e+08 3.2963503167806822e+08 3.3927431209811389e+08 3.4990217407006705e+08 3.6144083620473349e+08 3.7373747940523362e+08 3.8655131975656074e+08 3.9954875553176111e+08 4.1231271065564221e+08 4.2436687581713307e+08 4.3521532031696010e+08 4.4443104360025656e+08 4.5172042056401050e+08 4.5690394086449605e+08 4.5998528952649701e+08 4.6114104112788987e+08 4.6065624208824629e+08 4.5888247618375915e+08 4.5617097147365457e+08 4.5286607873831099e+08 4.4923025000661814e+08 4.4549644500606281e+08 4.4180600843574774e+08 4.3829509357758725e+08 4.3502215016038966e+08 4.3202330148879397e+08 4.2933456100212532e+08 4.2694307012361652e+08 4.2482615898438615e+08 4.2297919138235009e+08 4.2135643647906756e+08 4.1995290816795373e+08 4.1873875036792111e+08 4.1770254587253517e+08 4.1680759588472223e+08 4.1600893593106246e+08 4.1529341953055811e+08 4.1463608478509122e+08 4.1399344011399126e+08 4.1353142924975163e+08 4.1306256788055980e+08 4.1258314855653328e+08 4.1208062296267891e+08 4.1156210116478503e+08 4.1101092805033290e+08 4.1045479591380280e+08 4.0983079502990198e+08 4.0916301379489136e+08 4.0843917236862618e+08 4.0764968197064269e+08 4.0678289020758790e+08 4.0582567068476707e+08 4.0475734137883598e+08 4.0358926148267853e+08 4.0226425790510249e+08 4.0077875189788079e+08 3.9911119536200774e+08 3.9723839849422330e+08 3.9513644717308223e+08 3.9278135383002150e+08 3.9014483339276809e+08 3.8723932898025411e+08 3.8400151692131084e+08 3.8044783854518986e+08 3.7658651261446112e+08 3.7244782345875102e+08 3.6808329697546375e+08 3.6359100634772998e+08 3.5911527665575331e+08 3.5490328693511915e+08 3.5124414723639512e+08 3.4861345329707164e+08 3.4766530596346015e+08 3.4935575033256751e+08 3.5507070598725200e+08 3.6691069529789990e+08 3.8819977643411529e+08 4.2455440688240731e+08 2.4655393822484809e+08 +4.8199066355452214e+00 2.6851734560640448e+08 2.6849662783136004e+08 2.6846179149175155e+08 2.6841905504554358e+08 2.6838298057166603e+08 2.6837406422218010e+08 2.6840053015400606e+08 2.6844753064609349e+08 2.6850127376645553e+08 2.6856055311433822e+08 2.6862884429500079e+08 2.6870807620283264e+08 2.6879988670839316e+08 2.6890653746557540e+08 2.6903079269240081e+08 2.6917576051613301e+08 2.6934524958371198e+08 2.6954391688633186e+08 2.6977727325577390e+08 2.7005174700834095e+08 2.7037485623298556e+08 2.7075539200624615e+08 2.7120441479035348e+08 2.7174061659781212e+08 2.7239064030356991e+08 2.7317028814725524e+08 2.7409067942832989e+08 2.7517136684788334e+08 2.7643808014432794e+08 2.7792077434075934e+08 2.7965363049350947e+08 2.8167536147518170e+08 2.8402949750993288e+08 2.8676456558401120e+08 2.8993409829019362e+08 2.9359631865448463e+08 2.9781344480201781e+08 3.0265037910672182e+08 3.0817264172569770e+08 3.1444318029946935e+08 3.2207839108872974e+08 3.3069403563830858e+08 3.4031338572594315e+08 3.5091677886901200e+08 3.6242562574578273e+08 3.7468632175344145e+08 3.8745742696304351e+08 4.0040495688258606e+08 4.1311189010003883e+08 4.2510255419377500e+08 4.3588232997741342e+08 4.4502612384978998e+08 4.5224262503313470e+08 4.5735480812624162e+08 4.6036859451886064e+08 4.6146228904002643e+08 4.6092200266692442e+08 4.5909972072944206e+08 4.5634653578308058e+08 4.5300627229286653e+08 4.4934069125207299e+08 4.4558197707953966e+08 4.4187076542850494e+08 4.3834253985176688e+08 4.3505521187140584e+08 4.3204445453691280e+08 4.2934589123606008e+08 4.2694638180063224e+08 4.2482301060561579e+08 4.2297092468423158e+08 4.2134424035582697e+08 4.1993778177004272e+08 4.1872154533579028e+08 4.1768394878827876e+08 4.1678813276113552e+08 4.1598900246701735e+08 4.1527325874798393e+08 4.1461582967290950e+08 4.1397316828361750e+08 4.1351116895595038e+08 4.1304232687614173e+08 4.1256293052655399e+08 4.1206043023347801e+08 4.1154193491120309e+08 4.1099079493927771e+08 4.1043467653792518e+08 4.0981070745134127e+08 4.0914296015346861e+08 4.0841915540395677e+08 4.0762970489166129e+08 4.0676295679341269e+08 4.0580578535667914e+08 4.0473751445505351e+08 4.0356947848205876e+08 4.0224454101935071e+08 4.0075910898130989e+08 3.9909163532256544e+08 3.9721893137564570e+08 3.9511708418858713e+08 3.9276210736825073e+08 3.9012572193375528e+08 3.8722034707112688e+08 3.8398269481925601e+08 3.8042919171238625e+08 3.7656805611109805e+08 3.7242957085779262e+08 3.6806525932341909e+08 3.6357318988625699e+08 3.5909768488224584e+08 3.5488588981518465e+08 3.5122693052223349e+08 3.4859636656604630e+08 3.4764827094288862e+08 3.4933863355255914e+08 3.5505330807070613e+08 3.6689271610578156e+08 3.8818075938193542e+08 4.2453359051753181e+08 2.4608227358084249e+08 +4.8248749583194792e+00 2.6965903289798528e+08 2.6963818494739139e+08 2.6960313594518399e+08 2.6956012231472230e+08 2.6952377585572505e+08 2.6951469555842674e+08 2.6954115298813426e+08 2.6958822112357050e+08 2.6964202741080010e+08 2.6970134856445360e+08 2.6976966855086303e+08 2.6984891626432985e+08 2.6994072595489705e+08 2.7004735662728190e+08 2.7017157026745188e+08 2.7031647187069201e+08 2.7048586640836328e+08 2.7068440696269912e+08 2.7091759980494368e+08 2.7119186764060074e+08 2.7151472179884279e+08 2.7189494473266101e+08 2.7234358281618732e+08 2.7287930334806651e+08 2.7352873330922037e+08 2.7430766805176145e+08 2.7522720494779074e+08 2.7630686743560833e+08 2.7757235109718078e+08 2.7905356950227857e+08 2.8078465297709107e+08 2.8280425205700445e+08 2.8515582014088440e+08 2.8788778936365086e+08 2.9105357511728185e+08 2.9471125545798403e+08 2.9892286946070695e+08 3.0375309891550255e+08 3.0926719373778874e+08 3.1552777293169361e+08 3.2314983327866423e+08 3.3174921961892670e+08 3.4134852549977845e+08 3.5192732844825810e+08 3.6340623431127095e+08 3.7563085761192572e+08 3.8835910868091828e+08 4.0125662801212823e+08 4.1390645750769186e+08 4.2583357014980006e+08 4.3654466520859474e+08 4.4561655986394089e+08 4.5276025729267025e+08 4.5780121240698344e+08 4.6074757485090661e+08 4.6177936951935273e+08 4.6118376168745083e+08 4.5931312928724283e+08 4.5651842263844180e+08 4.5314293545805717e+08 4.4944773541649556e+08 4.4566423079250693e+08 4.4193234847388482e+08 4.3838690301621127e+08 4.3508526885541379e+08 4.3206266996308118e+08 4.2935434077718079e+08 4.2694686063120884e+08 4.2481706921399057e+08 4.2295989766473275e+08 4.2132931036426938e+08 4.1991994250595129e+08 4.1870164377902961e+08 4.1766266759496969e+08 4.1676599490549535e+08 4.1596640142808080e+08 4.1525043602688974e+08 4.1459291733998406e+08 4.1395024354325527e+08 4.1348825875720787e+08 4.1301943898588043e+08 4.1254006868484426e+08 4.1203759691034526e+08 4.1151913138236630e+08 4.1096802806099182e+08 4.1041192701131982e+08 4.0978799371601772e+08 4.0912028462888676e+08 4.0839652119003463e+08 4.0760711561769718e+08 4.0674041673396724e+08 4.0578329951235086e+08 4.0471509383719283e+08 4.0354710932430851e+08 4.0222224646236819e+08 4.0073689790787715e+08 3.9906951780699933e+08 3.9719691877717566e+08 3.9509518918904889e+08 3.9274034397806096e+08 3.9010411041840100e+08 3.8719888377366239e+08 3.8396141207220668e+08 3.8040810700175059e+08 3.7654718646853167e+08 3.7240893163411671e+08 3.6804486301226121e+08 3.6355304354791689e+08 3.5907779189097780e+08 3.5486621851376867e+08 3.5120746306946617e+08 3.4857704594968963e+08 3.4762900809205490e+08 3.4931927810554582e+08 3.5503363487069023e+08 3.6687238576385921e+08 3.8815925473975474e+08 4.2451005367337668e+08 2.4561077804469791e+08 +4.8298432810937371e+00 2.7079767871871048e+08 2.7077670494540823e+08 2.7074144301396096e+08 2.7069815178643739e+08 2.7066153387919706e+08 2.7065228984506828e+08 2.7067873846674889e+08 2.7072587359302396e+08 2.7077974230052143e+08 2.7083910444337386e+08 2.7090745229673547e+08 2.7098671473645121e+08 2.7107852236979282e+08 2.7118513152294725e+08 2.7130930191552109e+08 2.7145413536529279e+08 2.7162343312065279e+08 2.7182184429411346e+08 2.7205487052274156e+08 2.7232892881686038e+08 2.7265152364711225e+08 2.7303142872928917e+08 2.7347967620443052e+08 2.7401490841650999e+08 2.7466373609951621e+08 2.7544194750875777e+08 2.7636061794904387e+08 2.7743924134714472e+08 2.7870347879853290e+08 2.8018320203763008e+08 2.8191249022683835e+08 2.8392993107946765e+08 2.8627890062917179e+08 2.8900773556756806e+08 2.9216973344694543e+08 2.9582282667950058e+08 3.0002887459993279e+08 3.0485233774067557e+08 3.1035819516512734e+08 3.1660873676504302e+08 3.2421755275171918e+08 3.3280057689276379e+08 3.4237972536507374e+08 3.5293381754509121e+08 3.6438265756123447e+08 3.7657108370180362e+08 3.8925636282799727e+08 4.0210376815878922e+08 4.1469641352818853e+08 4.2655992579130149e+08 4.3720232955399317e+08 4.4620235653815311e+08 4.5327332343878472e+08 4.5824316080481935e+08 4.6112223839883631e+08 4.6209229099917513e+08 4.6144152794217086e+08 4.5952271084660399e+08 4.5668664110618526e+08 4.5327607729302025e+08 4.4955139149980932e+08 4.4574321505482215e+08 4.4199076638001251e+08 4.3842819177399623e+08 4.3511232971509582e+08 4.3207795627816778e+08 4.2935991805289561e+08 4.2694451496895093e+08 4.2480834310019439e+08 4.2294611856067288e+08 4.2131165469531596e+08 4.1989939852945554e+08 4.1867905381941527e+08 4.1763871038996124e+08 4.1674119039371532e+08 4.1594114087410772e+08 4.1522495941054618e+08 4.1456735581716466e+08 4.1392467391121846e+08 4.1346270666299438e+08 4.1299391221044701e+08 4.1251457102280378e+08 4.1201213097474939e+08 4.1149369854918599e+08 4.1094263537558502e+08 4.1038655528310442e+08 4.0976266176077646e+08 4.0909499514620709e+08 4.0837127763744396e+08 4.0758192204391408e+08 4.0671527790765256e+08 4.0575822101184368e+08 4.0469008736447012e+08 4.0352216182601839e+08 4.0219738202510512e+08 4.0071212643975234e+08 3.9904485054540855e+08 3.9717236839274782e+08 3.9507076982725281e+08 3.9271607126712567e+08 3.9008000640308511e+08 3.8717494658827823e+08 3.8393767611783743e+08 3.8038459178222001e+08 3.7652391098093468e+08 3.7238591300116462e+08 3.6802211517082638e+08 3.6353057437445033e+08 3.5905560463722163e+08 3.5484427990413749e+08 3.5118575168161052e+08 3.4855549819989824e+08 3.4760752414488828e+08 3.4929769075830960e+08 3.5501169326420665e+08 3.6684971137885034e+08 3.8813527002653223e+08 4.2448380457342029e+08 2.4513945546330318e+08 +4.8348116038679949e+00 2.7193327774695301e+08 2.7191217311126149e+08 2.7187669923893601e+08 2.7183313412477809e+08 2.7179624465606856e+08 2.7178683706177700e+08 2.7181327653435588e+08 2.7186047800095463e+08 2.7191440838258755e+08 2.7197381069794351e+08 2.7204218548294836e+08 2.7212146157178664e+08 2.7221326590859050e+08 2.7231985211182618e+08 2.7244397760011142e+08 2.7258874096941507e+08 2.7275793969696784e+08 2.7295621886491185e+08 2.7318907540318942e+08 2.7346292054356790e+08 2.7378525179836774e+08 2.7416483403286827e+08 2.7461268501165801e+08 2.7514742188374639e+08 2.7579563878440690e+08 2.7657311666275024e+08 2.7749090861911106e+08 2.7856847881858331e+08 2.7983145354287010e+08 2.8130966230974996e+08 2.8303713268814486e+08 2.8505238908514023e+08 2.8739872963219976e+08 2.9012439498888868e+08 2.9328256423366994e+08 2.9693102346395898e+08 3.0113145159013784e+08 3.0594808721948034e+08 3.1144563796144599e+08 3.1768606412613600e+08 3.2528154231142491e+08 3.3384810083118182e+08 3.4340697936612159e+08 3.5393624099524754e+08 3.6535489125483137e+08 3.7750699684166116e+08 3.9014918741931278e+08 4.0294637665401852e+08 4.1548175890109527e+08 4.2728162330868065e+08 4.3785532663714671e+08 4.4678351883953613e+08 4.5378182963216120e+08 4.5868066047529471e+08 4.6149259308827209e+08 4.6240106195548993e+08 4.6169531026113194e+08 4.5972847443031162e+08 4.5685120028017008e+08 4.5340570688238060e+08 4.4965166852326852e+08 4.4581893879740512e+08 4.4204602797269851e+08 4.3846641484613186e+08 4.3513640307012892e+08 4.3209032200710106e+08 4.2936263150470150e+08 4.2693935318164206e+08 4.2479684056866956e+08 4.2292959562135273e+08 4.2129128155314684e+08 4.1987615800655359e+08 4.1865378359213734e+08 4.1761208528235126e+08 4.1671372731483883e+08 4.1591322887579763e+08 4.1519683695605612e+08 4.1453915314771914e+08 4.1389646741816467e+08 4.1343452069468856e+08 4.1296575456195080e+08 4.1248644554360294e+08 4.1198404041989148e+08 4.1146564439533436e+08 4.1091462485614854e+08 4.1035856931569660e+08 4.0973471953601432e+08 4.0906709964250755e+08 4.0834343266900891e+08 4.0755413207848269e+08 4.0668754820554912e+08 4.0573055772732902e+08 4.0466250288855231e+08 4.0349464381621236e+08 4.0216995551097745e+08 4.0068480235105336e+08 3.9901764128009093e+08 3.9714528792758840e+08 3.9504383376846623e+08 3.9268929685448873e+08 3.9005341745563042e+08 3.8714854302691400e+08 3.8391149440476364e+08 3.8035865343368274e+08 3.7649823695355290e+08 3.7236052218386728e+08 3.6799702293936199e+08 3.6350578941891462e+08 3.5903113008686131e+08 3.5482008087105972e+08 3.5116180317146724e+08 3.4853173007931161e+08 3.4758382584494823e+08 3.4927387828762281e+08 3.5498749013864005e+08 3.6682470006823999e+08 3.8810881277259260e+08 4.2445485145259255e+08 2.4466830966312015e+08 +4.8397799266422528e+00 2.7306581385804963e+08 2.7304458294975311e+08 2.7300889768011028e+08 2.7296505920201844e+08 2.7292789820200634e+08 2.7291832729473603e+08 2.7294475723119479e+08 2.7299202438342059e+08 2.7304601569400615e+08 2.7310545736500728e+08 2.7317385814895672e+08 2.7325314681269699e+08 2.7334494661643279e+08 2.7345150844319117e+08 2.7357558737508768e+08 2.7372027874259585e+08 2.7388937620357054e+08 2.7408752074965078e+08 2.7432020453113580e+08 2.7459383291677916e+08 2.7491589636222088e+08 2.7529515077007765e+08 2.7574259938449305e+08 2.7627683392044461e+08 2.7692443156362987e+08 2.7770116574969816e+08 2.7861806723480332e+08 2.7969457017688954e+08 2.8095626571588969e+08 2.8243294077462548e+08 2.8415857089884299e+08 2.8617161670884407e+08 2.8851529789985710e+08 2.9123775851438379e+08 2.9439205852515602e+08 2.9803583705022413e+08 3.0223059189619219e+08 3.0704033908473712e+08 3.1252951417575330e+08 3.1875974743845111e+08 3.2634179485894096e+08 3.3489178490379488e+08 3.4443028164540571e+08 3.5493459373384720e+08 3.6632293124892926e+08 3.7843859394894463e+08 3.9103758056563282e+08 4.0378445292377871e+08 4.1626249445709765e+08 4.2799866497783440e+08 4.3850366015977824e+08 4.4736005180753958e+08 4.5428578209844166e+08 4.5911371862928814e+08 4.6185864689499336e+08 4.6270569090795547e+08 4.6194511751070440e+08 4.5993042909207368e+08 4.5701210928357452e+08 4.5353183333427429e+08 4.4974857553001046e+08 4.4589141097019142e+08 4.4209814209753340e+08 4.3850158097093779e+08 4.3515749755538440e+08 4.3209977569071758e+08 4.2936248958885700e+08 4.2693138365113056e+08 4.2478256993673503e+08 4.2291033711002016e+08 4.2126819915449637e+08 4.1985022911576647e+08 4.1862584124383855e+08 4.1758280039373994e+08 4.1668361376971090e+08 4.1588267351729912e+08 4.1516607673258841e+08 4.1450831738761836e+08 4.1386563210702360e+08 4.1340370888634449e+08 4.1293497406569207e+08 4.1245570026269227e+08 4.1195333325186080e+08 4.1143497691624385e+08 4.1088400448716688e+08 4.1032797708325195e+08 4.0970417500346988e+08 4.0903660606644422e+08 4.0831299422004789e+08 4.0752375364022672e+08 4.0665723553009266e+08 4.0570031754303914e+08 4.0463234827264142e+08 4.0346456313558584e+08 4.0213997473467606e+08 4.0065493342836273e+08 3.9898789776422709e+08 3.9711568509970683e+08 3.9501438868882781e+08 3.9266002837115401e+08 3.9002435115593028e+08 3.8711968061218530e+08 3.8388287439334422e+08 3.8033029934688210e+08 3.7647017170218956e+08 3.7233276641835642e+08 3.6796959346836841e+08 3.6347869574485630e+08 3.5900437521743196e+08 3.5479362830928046e+08 3.5113562436302197e+08 3.4850574836034721e+08 3.4755791994717520e+08 3.4924784748044270e+08 3.5496103239236176e+08 3.6679735895986700e+08 3.8807989051904714e+08 4.2442320255936390e+08 2.4419734445022461e+08 +4.8447482494165106e+00 2.7419528404035395e+08 2.7417392462892795e+08 2.7413802966484892e+08 2.7409391619103569e+08 2.7405648464701605e+08 2.7404675070935786e+08 2.7407317069108254e+08 2.7412050286620474e+08 2.7417455436068934e+08 2.7423403457067269e+08 2.7430246042400622e+08 2.7438176059068632e+08 2.7447355462841821e+08 2.7458009065535206e+08 2.7470412138387686e+08 2.7484873883404416e+08 2.7501773279638135e+08 2.7521574011263055e+08 2.7544824808002353e+08 2.7572165612218076e+08 2.7604344753901887e+08 2.7642236915770328e+08 2.7686940955963564e+08 2.7740313478729302e+08 2.7805010472749466e+08 2.7882608509459335e+08 2.7974208416364682e+08 2.8081750583934474e+08 2.8207790579406309e+08 2.8355302797820735e+08 2.8527679548774970e+08 2.8728760467718369e+08 2.8962859627434903e+08 2.9234781712292814e+08 2.9549820746228129e+08 2.9913725877044517e+08 3.0332628707722402e+08 3.0812908516377854e+08 3.1360981595290762e+08 3.1982977922201610e+08 3.2739830339149374e+08 3.3593162267696947e+08 3.4544962644366425e+08 3.5592887079403025e+08 3.6728677349948335e+08 3.7936587203682369e+08 3.9192154047381967e+08 4.0461799648683012e+08 4.1703862111449271e+08 4.2871105315948391e+08 4.3914733390219015e+08 4.4793196055339789e+08 4.5478518712589931e+08 4.5954234253459686e+08 4.6222040784251714e+08 4.6300618641659081e+08 4.6219095859312958e+08 4.6012858391721284e+08 4.5716937726527333e+08 4.5365446578138590e+08 4.4984212158557433e+08 4.4596064054359049e+08 4.4214711761766422e+08 4.3853369890213627e+08 4.3517562182163167e+08 4.3210632588424164e+08 4.2935950077521092e+08 4.2692061477346396e+08 4.2476553953551424e+08 4.2288835130312699e+08 4.2124241572974235e+08 4.1982162004870319e+08 4.1859523493475366e+08 4.1755086385869449e+08 4.1665085787164581e+08 4.1584948289414054e+08 4.1513268682027119e+08 4.1447485660384363e+08 4.1383217603260303e+08 4.1337027928427309e+08 4.1290157875792897e+08 4.1242234320743883e+08 4.1192001748795402e+08 4.1140170411989295e+08 4.1085078226607025e+08 4.1029478657150823e+08 4.0967103613699508e+08 4.0900352237887114e+08 4.0827997023709971e+08 4.0749079466122860e+08 4.0662434779596227e+08 4.0566750835519940e+08 4.0459963139216554e+08 4.0343192763625646e+08 4.0210744752257293e+08 4.0062252746932834e+08 3.9895562776360285e+08 3.9708356763756561e+08 3.9498244227650905e+08 3.9262827345878929e+08 3.8999281509457737e+08 3.8708836687854296e+08 3.8385182355462110e+08 3.8029953692431659e+08 3.7643972255388653e+08 3.7230265295020461e+08 3.6793983392005157e+08 3.6344930042661744e+08 3.5897534701509058e+08 3.5476492912406182e+08 3.5110722209007597e+08 3.4847755982607335e+08 3.4752981321529025e+08 3.4921960513426453e+08 3.5493232693396413e+08 3.6676769519286489e+08 3.8804851081985587e+08 4.2438886615376812e+08 2.4372656361034879e+08 +4.8497165721907685e+00 2.7532167306199223e+08 2.7530018780036241e+08 2.7526408317065483e+08 2.7521969511726689e+08 2.7518199428368533e+08 2.7517209752699113e+08 2.7519850714085901e+08 2.7524590366431624e+08 2.7530001459904587e+08 2.7535953253064674e+08 2.7542798252640337e+08 2.7550729312680596e+08 2.7559908016858470e+08 2.7570558897676790e+08 2.7582956985921389e+08 2.7597411148172480e+08 2.7614299972079116e+08 2.7634086720750993e+08 2.7657319631417692e+08 2.7684638043572980e+08 2.7716789561812335e+08 2.7754647950194168e+08 2.7799310586355799e+08 2.7852631483509845e+08 2.7917264865640867e+08 2.7994786511361676e+08 2.8086294986439103e+08 2.8193727631436586e+08 2.8319636434458768e+08 2.8466991455800331e+08 2.8639179717490625e+08 2.8840034380833966e+08 2.9073861569033796e+08 2.9345456188576376e+08 2.9660100227838218e+08 3.0023528005068827e+08 3.0441852878658521e+08 3.0921431737876010e+08 3.1468653553319466e+08 3.2089615209263599e+08 3.2845106100420707e+08 3.3696760781532145e+08 3.4646500810005295e+08 3.5691906730715531e+08 3.6824641405969334e+08 3.8028882821716398e+08 3.9280106544650346e+08 4.0544700695458734e+08 4.1781013988215232e+08 4.2941879029814309e+08 4.3978635172288966e+08 4.4849925025852627e+08 4.5528005106738192e+08 4.5996653951489604e+08 4.6257788400369102e+08 4.6330255708487201e+08 4.6243284244733220e+08 4.6032294802257442e+08 4.5732301340195143e+08 4.5377361338043737e+08 4.4993231577672815e+08 4.4602663650690854e+08 4.4219296341307378e+08 4.3856277741106236e+08 4.3519078453547758e+08 4.3210998115836233e+08 4.2935367354842770e+08 4.2690705495760459e+08 4.2474575770917726e+08 4.2286364648917001e+08 4.2121393952034718e+08 4.1979033900830889e+08 4.1856197283605254e+08 4.1751628382292277e+08 4.1661546774572027e+08 4.1581366511394644e+08 4.1509667531203705e+08 4.1443877887597173e+08 4.1379610726183939e+08 4.1333423994533151e+08 4.1286557668735337e+08 4.1238638241717088e+08 4.1188410115755939e+08 4.1136583402505225e+08 4.1081496620113230e+08 4.1025900577805936e+08 4.0963531092222315e+08 4.0896785655219549e+08 4.0824436867812014e+08 4.0745526308369470e+08 4.0658889292918301e+08 4.0563213807063705e+08 4.0456436013363582e+08 4.0339674518243194e+08 4.0207238171302164e+08 4.0058759228244758e+08 3.9892083905444652e+08 3.9704894328139418e+08 3.9494800223057735e+08 3.9259403977104288e+08 3.8995881687340802e+08 3.8705460937127787e+08 3.8381834937107348e+08 3.8026637357899868e+08 3.7640689684631008e+08 3.7227018903754431e+08 3.6790775146617860e+08 3.6341761054882461e+08 3.5894405247767282e+08 3.5473399023052222e+08 3.5107660319694382e+08 3.4844717126897645e+08 3.4749951242365766e+08 3.4918915805617392e+08 3.5490138068161958e+08 3.6673571591633791e+08 3.8801468123834640e+08 4.2435185050818616e+08 2.4325597090892202e+08 +4.8546848949650263e+00 2.7644497268680096e+08 2.7642336326023120e+08 2.7638704815836102e+08 2.7634238758691919e+08 2.7630441741365051e+08 2.7629435802616447e+08 2.7632075689563507e+08 2.7636821708171082e+08 2.7642238671358234e+08 2.7648194154998589e+08 2.7655041476368374e+08 2.7662973473141879e+08 2.7672151355009788e+08 2.7682799372464103e+08 2.7695192312295854e+08 2.7709638701396531e+08 2.7726516731157482e+08 2.7746289237748659e+08 2.7769503958620453e+08 2.7796799622169071e+08 2.7828923097892880e+08 2.7866747219897836e+08 2.7911367871245724e+08 2.7964636450428587e+08 2.8029205382037282e+08 2.8106649631249833e+08 2.8198065488470143e+08 2.8305387220043325e+08 2.8431163202578634e+08 2.8578359124199915e+08 2.8750356677195275e+08 2.8950982501232404e+08 2.9184534717320722e+08 2.9455798396681088e+08 2.9770043430071896e+08 3.0132989241022813e+08 3.0550730877124810e+08 3.1029602774658930e+08 3.1575966525219572e+08 3.2195885876199579e+08 3.2950006088848633e+08 3.3799973408054793e+08 3.4747642105069208e+08 3.5790517850256085e+08 3.6920184908059466e+08 3.8120745969763803e+08 3.9367615388067025e+08 4.0627148403139943e+08 4.1857705185701823e+08 4.3012187892185646e+08 4.4042071755679131e+08 4.4906192617525709e+08 4.5577038033800614e+08 4.6038631694903815e+08 4.6293108349848640e+08 4.6359481155646652e+08 4.6267077804660404e+08 4.6051353055501181e+08 4.5747302689739722e+08 4.5388928531174344e+08 4.5001916721080887e+08 4.4608940786827338e+08 4.4223568838213277e+08 4.3858882528483367e+08 4.3520299437851691e+08 4.3211075009729815e+08 4.2934501640629470e+08 4.2689071262503505e+08 4.2472323281394833e+08 4.2283623096936774e+08 4.2118277878071809e+08 4.1975639421022534e+08 4.1852606313128597e+08 4.1747906844405502e+08 4.1657745152847618e+08 4.1577522829585242e+08 4.1505805031213009e+08 4.1440009229493320e+08 4.1375743387221998e+08 4.1329559893874514e+08 4.1282697591360426e+08 4.1234782594218415e+08 4.1184559230151510e+08 4.1132737466248351e+08 4.1077656431172717e+08 4.1022064271196175e+08 4.0959700735564256e+08 4.0892961657064289e+08 4.0820619751339322e+08 4.0741716686277062e+08 4.0655087886730850e+08 4.0559421460841715e+08 4.0452654239493179e+08 4.0335902364887506e+08 4.0203478515500879e+08 4.0055013568857741e+08 3.9888353942432195e+08 3.9701181978196257e+08 3.9491107626111889e+08 3.9255733497188085e+08 3.8992236410568881e+08 3.8701841564640212e+08 3.8378245933518440e+08 3.8023081673447305e+08 3.7637170192780381e+08 3.7223538194695699e+08 3.6787335328898412e+08 3.6338363320562130e+08 3.5891049861260217e+08 3.5470081855382305e+08 3.5104377453684282e+08 3.4841458949136990e+08 3.4746702435652864e+08 3.4915651306292522e+08 3.5486820056378591e+08 3.6670142828908718e+08 3.8797840934962207e+08 4.2431216390654761e+08 2.4278557009111419e+08 +4.8596532177392842e+00 2.7756517566915405e+08 2.7754343876063204e+08 2.7750691430270463e+08 2.7746198394856471e+08 2.7742374429196864e+08 2.7741352255943763e+08 2.7743991035494322e+08 2.7748743351075625e+08 2.7754166109869063e+08 2.7760125202275348e+08 2.7766974753266490e+08 2.7774907580431998e+08 2.7784084517565733e+08 2.7794729530556613e+08 2.7807117158649367e+08 2.7821555584781015e+08 2.7838422599292356e+08 2.7858180605502838e+08 2.7881376833886153e+08 2.7908649393523884e+08 2.7940744409012890e+08 2.7978533773476076e+08 2.8023111861223066e+08 2.8076327432561415e+08 2.8140831077970308e+08 2.8218196928751111e+08 2.8309518986359775e+08 2.8416728418609905e+08 2.8542369958580559e+08 2.8689404884951949e+08 2.8861209518125176e+08 2.9061603928992337e+08 2.9294878184147298e+08 2.9565807462199438e+08 2.9879649494806522e+08 3.0242108746141553e+08 3.0659261887239903e+08 3.1137420837848467e+08 3.1682919754023582e+08 3.2301789203723103e+08 3.3054529633150440e+08 3.3902799533080077e+08 3.4848385982940876e+08 3.5888719970680416e+08 3.7015307481057495e+08 3.8212176378256279e+08 3.9454680426859248e+08 4.0709142751300353e+08 4.1933935822347021e+08 4.3082032164152825e+08 4.4105043541737747e+08 4.4961999362513942e+08 4.5625618141569018e+08 4.6080168226963449e+08 4.6328001449496549e+08 4.6388295851649028e+08 4.6290477440084463e+08 4.6070034069138759e+08 4.5761942698114598e+08 4.5400149077851200e+08 4.5010268501615232e+08 4.4614896365532571e+08 4.4227530144040960e+08 4.3861185132696432e+08 4.3521226004716748e+08 4.3210864129976106e+08 4.2933353786078393e+08 4.2687159621181744e+08 4.2469797321951151e+08 4.2280611305694026e+08 4.2114894177743614e+08 4.1971979388165903e+08 4.1848751401581091e+08 4.1743922589094818e+08 4.1653681736825573e+08 4.1573418057029551e+08 4.1501681993583399e+08 4.1435880496274823e+08 4.1371616395384347e+08 4.1325436434508562e+08 4.1278578450806898e+08 4.1230668184395903e+08 4.1180449897158867e+08 4.1128633407401109e+08 4.1073558462974775e+08 4.1017970539390039e+08 4.0955613344548649e+08 4.0888881042879939e+08 4.0816546472324264e+08 4.0737651396331716e+08 4.0651031355845267e+08 4.0555374589826095e+08 4.0448618608495456e+08 4.0331877092162037e+08 4.0199466570882416e+08 4.0051016551858687e+08 3.9884373667244989e+08 3.9697220490165186e+08 3.9487167208909595e+08 3.9251816673614830e+08 3.8988346441423494e+08 3.8697979327017415e+08 3.8374416095031476e+08 3.8019287382403260e+08 3.7633414515658927e+08 3.7219823895637560e+08 3.6783664658057714e+08 3.6334737550199729e+08 3.5887469243652427e+08 3.5466542102828532e+08 3.5100874297326416e+08 3.4837982130515885e+08 3.4743235580650091e+08 3.4912167698061758e+08 3.5483279351863295e+08 3.6666483948149508e+08 3.8793970273910409e+08 4.2426981464512569e+08 2.4231536488187575e+08 +4.8646215405135420e+00 2.7868226950305837e+08 2.7866040898696125e+08 2.7862367462162548e+08 2.7857847361945796e+08 2.7853996534162778e+08 2.7852958157440907e+08 2.7855595800265306e+08 2.7860354343247557e+08 2.7865782823686945e+08 2.7871745443268645e+08 2.7878597131854248e+08 2.7886530683354521e+08 2.7895706553745824e+08 2.7906348421546865e+08 2.7918730575029701e+08 2.7933160848923749e+08 2.7950016627795619e+08 2.7969759876152313e+08 2.7992937310404366e+08 2.8020186411983109e+08 2.8052252550964791e+08 2.8090006668424934e+08 2.8134541615835911e+08 2.8187703491857022e+08 2.8252141018433022e+08 2.8329427472404784e+08 2.8420654552933127e+08 2.8527750305100149e+08 2.8653255786383671e+08 2.8800127829021537e+08 2.8971737339624017e+08 2.9171897773381209e+08 2.9404891090423089e+08 2.9675482519927067e+08 2.9988917573220950e+08 3.0350885690956056e+08 3.0767445102445084e+08 3.1244885147930408e+08 3.1789512492231113e+08 3.2407324482135129e+08 3.3158676071711868e+08 3.4005238552132511e+08 3.4948731906684482e+08 3.5986512634362912e+08 3.7110008759468859e+08 3.8303173787212646e+08 3.9541301519587833e+08 4.0790683728675735e+08 4.2009706025494766e+08 4.3151412115115142e+08 4.4167550939315885e+08 4.5017345799996972e+08 4.5673746083905363e+08 4.6121264296538532e+08 4.6362468520778972e+08 4.6416700668973637e+08 4.6313484055320644e+08 4.6088338763996989e+08 4.5776222290888232e+08 4.5411023900741106e+08 4.5018287834137285e+08 4.4620531291379815e+08 4.4231181152000612e+08 4.3863186435584837e+08 4.3521859025307590e+08 4.3210366337858564e+08 4.2931924643626958e+08 4.2684971416587043e+08 4.2466998730706608e+08 4.2277330107700545e+08 4.2111243678747970e+08 4.1968054626102132e+08 4.1844633369558984e+08 4.1739676434480506e+08 4.1649357342396533e+08 4.1569053007853538e+08 4.1497299230989802e+08 4.1431492499290919e+08 4.1367230560705012e+08 4.1321054425559622e+08 4.1274201055320805e+08 4.1226295819598758e+08 4.1176082923111957e+08 4.1124272031257433e+08 4.1069203519681036e+08 4.1013620185384631e+08 4.0951269721074545e+08 4.0884544613235456e+08 4.0812217829998773e+08 4.0733331236152804e+08 4.0646720496237791e+08 4.0551073988094538e+08 4.0444329912326270e+08 4.0327599489758396e+08 4.0195203124555391e+08 4.0046768961439949e+08 3.9880143860746133e+08 3.9693010641280723e+08 3.9482979744596231e+08 3.9247654274948376e+08 3.8984212543312842e+08 3.8693874982002413e+08 3.8370346173031336e+08 3.8015255229218465e+08 3.7629423390117300e+08 3.7215876735290802e+08 3.6779763854321271e+08 3.6330884455192429e+08 3.5883664097621959e+08 3.5462780459876686e+08 3.5097151537856603e+08 3.4834287353141445e+08 3.4739551357663083e+08 3.4908465664549816e+08 3.5479516649333715e+08 3.6662595667173743e+08 3.8789856900204080e+08 4.2422481103014719e+08 2.4184535898598287e+08 +4.8695898632877999e+00 2.7979624692924434e+08 2.7977425949625331e+08 2.7973731921370459e+08 2.7969184673271972e+08 2.7965307122067881e+08 2.7964252562566531e+08 2.7966889040405500e+08 2.7971653741714889e+08 2.7977087869946539e+08 2.7983053935198843e+08 2.7989907669561499e+08 2.7997841839712435e+08 2.8007016521547717e+08 2.8017655103902769e+08 2.8030031620383674e+08 2.8044453553387386e+08 2.8061297876916391e+08 2.8081026110818231e+08 2.8104184450237137e+08 2.8131409740861267e+08 2.8163446588502169e+08 2.8201164971163905e+08 2.8245656203533971e+08 2.8298763699240220e+08 2.8363134277319545e+08 2.8440340339783102e+08 2.8531471270011479e+08 2.8638451966363806e+08 2.8763819778874266e+08 2.8910527056425685e+08 2.9081939250103897e+08 2.9281863152730381e+08 2.9514572566243088e+08 2.9784822713802773e+08 3.0097846825748074e+08 3.0459319255321473e+08 3.0875279725518072e+08 3.1351994934876603e+08 3.1895744001861393e+08 3.2512491011232620e+08 3.3262444752495211e+08 3.4107289870370466e+08 3.5048679349071938e+08 3.6083895393425566e+08 3.7204288387435192e+08 3.8393737946198153e+08 3.9627478534291428e+08 4.0871771333152938e+08 4.2085015931094235e+08 4.3220328022686088e+08 4.4229594364969039e+08 4.5072232475993675e+08 4.5721422521002752e+08 4.6161920657732064e+08 4.6396510389808542e+08 4.6444696484183800e+08 4.6336098558204865e+08 4.6106268063706046e+08 4.5790142396218574e+08 4.5421553924694937e+08 4.5025975635588586e+08 4.4625846470736474e+08 4.4234522756970215e+08 4.3864887320615703e+08 4.3522199372145766e+08 4.3209582495948607e+08 4.2930215067055023e+08 4.2682507494697404e+08 4.2463928347064680e+08 4.2273780336684328e+08 4.2107327210104012e+08 4.1963865959816617e+08 4.1840253038867712e+08 4.1735169199647462e+08 4.1644772786650509e+08 4.1564428497387040e+08 4.1492657557202089e+08 4.1426846050914007e+08 4.1362586694266957e+08 4.1316414677260017e+08 4.1269566214145237e+08 4.1221666308156270e+08 4.1171459115336937e+08 4.1119654144150996e+08 4.1064592406592834e+08 4.1009014013474309e+08 4.0946670668070698e+08 4.0879953169829655e+08 4.0807634624521172e+08 4.0728757004487461e+08 4.0642156104861397e+08 4.0546520450716209e+08 4.0439788944064009e+08 4.0323070348417437e+08 4.0190688964621466e+08 4.0042271582795733e+08 3.9875665304894429e+08 3.9688553209858954e+08 3.9478546007332450e+08 3.9243247070740974e+08 3.8979835480635393e+08 3.8689529288263232e+08 3.8366036919863993e+08 3.8010985959292853e+08 3.7625197554013193e+08 3.7211697443460584e+08 3.6775633638886005e+08 3.6326804747912145e+08 3.5879635126805341e+08 3.5458797621823496e+08 3.5093209863482636e+08 3.4830375300028282e+08 3.4735650447850370e+08 3.4904545890203446e+08 3.5475532644499284e+08 3.6658478704934621e+08 3.8785501574506962e+08 4.2417716138002288e+08 2.4137555608807749e+08 +4.8745581860620577e+00 2.8090709596638006e+08 2.8088498552976584e+08 2.8084783622104299e+08 2.8080209497973299e+08 2.8076305270743275e+08 2.8075234537491935e+08 2.8077869820874131e+08 2.8082640612360263e+08 2.8088080314637333e+08 2.8094049744182372e+08 2.8100905432696098e+08 2.8108840116113812e+08 2.8118013487964517e+08 2.8128648644960296e+08 2.8141019362519145e+08 2.8155432766575414e+08 2.8172265415766424e+08 2.8191978379433674e+08 2.8215117324380124e+08 2.8242318452325302e+08 2.8274325595266092e+08 2.8312007757023168e+08 2.8356454701718318e+08 2.8409507134608299e+08 2.8473809937550765e+08 2.8550934617368847e+08 2.8641968228415614e+08 2.8748832498340797e+08 2.8874061037983918e+08 2.9020601676194179e+08 2.9191814367032081e+08 2.9391499194490558e+08 2.9623921750822055e+08 2.9893827197035658e+08 3.0206436421939957e+08 3.0567408628286678e+08 3.0982764968547791e+08 3.1458749437969238e+08 3.2001613554296261e+08 3.2617288100329602e+08 3.3365835032990170e+08 3.4208952902566260e+08 3.5148227792520499e+08 3.6180867809511256e+08 3.7298146018736029e+08 3.8483868614313561e+08 3.9713211348318326e+08 4.0952405571605343e+08 4.2159865683812952e+08 4.3288780172580862e+08 4.4291174242686832e+08 4.5126659943453288e+08 4.5768648118971008e+08 4.6202138070072341e+08 4.6430127887392080e+08 4.6472284177785218e+08 4.6358321859970361e+08 4.6123822894869500e+08 4.5803703944825363e+08 4.5431740076856327e+08 4.5033332824800462e+08 4.4630842811800164e+08 4.4237555855493420e+08 4.3866288672713071e+08 4.3522247919213545e+08 4.3208513468271828e+08 4.2928225911398709e+08 4.2679768702797049e+08 4.2460587011570674e+08 4.2269962827488613e+08 4.2103145601823610e+08 4.1959414215416712e+08 4.1835611232281721e+08 4.1730401704810262e+08 4.1639928887638205e+08 4.1559545341930670e+08 4.1487757786964393e+08 4.1421941964649779e+08 4.1357685608307570e+08 4.1311518000883883e+08 4.1264674737658143e+08 4.1216780459490353e+08 4.1166579282309294e+08 4.1114780553532726e+08 4.1059725930030942e+08 4.1004152828853911e+08 4.0941816989595467e+08 4.0875107515351892e+08 4.0802797657248265e+08 4.0723929501025677e+08 4.0637338979771650e+08 4.0541714773881644e+08 4.0434996497708142e+08 4.0318290459894121e+08 4.0185924880283093e+08 4.0037525202235639e+08 3.9870938782688862e+08 3.9683848975190210e+08 3.9473866772322601e+08 3.9238595831544489e+08 3.8975216018776244e+08 3.8684943005534351e+08 3.8361489088883483e+08 3.8006480318987817e+08 3.7620737746112311e+08 3.7207286750742131e+08 3.6771274733844382e+08 3.6322499141667217e+08 3.5875383035711229e+08 3.5454594284931970e+08 3.5089049963289326e+08 3.4826246655155021e+08 3.4731533533308911e+08 3.4900409060416579e+08 3.5471328033957791e+08 3.6654133781196648e+08 3.8780905058365124e+08 4.2412687402401364e+08 2.4090595985271183e+08 +4.8795265088363156e+00 2.8201481160033596e+08 2.8199257508718723e+08 2.8195521842432314e+08 2.8190920896724492e+08 2.8186990064929849e+08 2.8185903158353299e+08 2.8188537215220511e+08 2.8193314030036980e+08 2.8198759232543266e+08 2.8204731945298326e+08 2.8211589496397048e+08 2.8219524588021028e+08 2.8228696528785372e+08 2.8239328120925283e+08 2.8251692878101015e+08 2.8266097565749341e+08 2.8282918322351515e+08 2.8302615760866761e+08 2.8325735012728179e+08 2.8352911627457654e+08 2.8384888653765380e+08 2.8422534110330731e+08 2.8466936196718216e+08 2.8519932886720610e+08 2.8584167090894914e+08 2.8661209400621945e+08 2.8752144527915233e+08 2.8858891005873358e+08 2.8983978674648845e+08 2.9130350806404537e+08 2.9301361816939992e+08 2.9500805035160971e+08 2.9732937792516989e+08 3.0002495131876558e+08 3.0314685540646142e+08 3.0675153008190596e+08 3.1089900052939212e+08 3.1565147905825227e+08 3.2107120430378515e+08 3.2721715068144411e+08 3.3468846280254614e+08 3.4310227073056895e+08 3.5247376729019183e+08 3.6277429454047990e+08 3.7391581316760516e+08 3.8573565560148799e+08 3.9798499848270309e+08 4.1032586459988695e+08 4.2234255436937225e+08 4.3356768858732569e+08 4.4352291004111660e+08 4.5180628762008792e+08 4.5815423550126314e+08 4.6241917298257118e+08 4.6463321848846507e+08 4.6499464634136879e+08 4.6380154875166768e+08 4.6141004187028521e+08 4.5816907869803113e+08 4.5441583286549515e+08 4.5040360322616702e+08 4.4635521224493539e+08 4.4240281345713192e+08 4.3867391378294075e+08 4.3522005541890144e+08 4.3207160120064563e+08 4.2925958032977796e+08 4.2676755889353645e+08 4.2456975565861851e+08 4.2265878416099411e+08 4.2098699685054159e+08 4.1954700220071310e+08 4.1830708773794758e+08 4.1725374771306503e+08 4.1634826464487535e+08 4.1554404358813435e+08 4.1482600736218691e+08 4.1416781054989380e+08 4.1352528116033554e+08 4.1306365208733183e+08 4.1259527437261647e+08 4.1211639084032941e+08 4.1161444233468789e+08 4.1109652067862284e+08 4.1054604897395653e+08 4.0999037437817866e+08 4.0936709490694535e+08 4.0870008453566390e+08 4.0797707730474144e+08 4.0718849526572931e+08 4.0632269920063531e+08 4.0536657754774129e+08 4.0429953368418986e+08 4.0313260617011297e+08 4.0180911661711061e+08 4.0032530606975096e+08 3.9865965078139669e+08 3.9678898717599827e+08 3.9468942815762115e+08 3.9233701328955376e+08 3.8970354924139142e+08 3.8680116894401920e+08 3.8356703434345883e+08 3.8001739055671215e+08 3.7616044706177455e+08 3.7202645388803196e+08 3.6766687862216824e+08 3.6317968350687486e+08 3.5870908529753447e+08 3.5450171146389723e+08 3.5084672527229714e+08 3.4821902103230458e+08 3.4727201296935040e+08 3.4896055861444521e+08 3.5466903515173709e+08 3.6649561616738749e+08 3.8776068114330047e+08 4.2407395730145317e+08 2.4043657392439026e+08 +4.8844948316105734e+00 2.8311938072860116e+08 2.8309701746569985e+08 2.8305945716985440e+08 2.8301317954447061e+08 2.8297360587035239e+08 2.8296257509956717e+08 2.8298890305913281e+08 2.8303673078483164e+08 2.8309123707325888e+08 2.8315099622346318e+08 2.8321958944644558e+08 2.8329894339818835e+08 2.8339064728714252e+08 2.8349692616915452e+08 2.8362051252751511e+08 2.8376447037096357e+08 2.8393255683525395e+08 2.8412937342853093e+08 2.8436036603987116e+08 2.8463188356258386e+08 2.8495134855436981e+08 2.8532743124171054e+08 2.8577099783725262e+08 2.8630040053297442e+08 2.8694204838111532e+08 2.8771163793918228e+08 2.8861999277186245e+08 2.8968626602835751e+08 2.9093571808743131e+08 2.9239773574153072e+08 2.9410580735370326e+08 2.9609779820335019e+08 2.9841619848735374e+08 3.0110825689776546e+08 3.0422593369862217e+08 3.0782551602583998e+08 3.1196684209371144e+08 3.1671189596477509e+08 3.2212263920338815e+08 3.2825771242957675e+08 3.3571477870840865e+08 3.4411111815752983e+08 3.5346125660234904e+08 3.6373579907931024e+08 3.7484593954400611e+08 3.8662828561702871e+08 3.9883343930064905e+08 4.1112314023247170e+08 4.2308185352349961e+08 4.3424294383075321e+08 4.4412945088243705e+08 4.5234139498160923e+08 4.5861749492635047e+08 4.6281259112409431e+08 4.6496093114041424e+08 4.6526238741613460e+08 4.6401598521712083e+08 4.6157812872492790e+08 4.5829755106905061e+08 4.5451084485260677e+08 4.5047059051763469e+08 4.4639882620508677e+08 4.4242700127397305e+08 4.3868196325278127e+08 4.3521473116939324e+08 4.3205523317900258e+08 4.2923412289331198e+08 4.2673469904015958e+08 4.2453094852842754e+08 4.2261527939615452e+08 4.2093990292110372e+08 4.1949724802025193e+08 4.1825546488302118e+08 4.1720089221391189e+08 4.1629466337448615e+08 4.1549006366486484e+08 4.1477187221760499e+08 4.1411364137464368e+08 4.1347115031719422e+08 4.1300957114195961e+08 4.1254125125403249e+08 4.1206242993280172e+08 4.1156054779319829e+08 4.1104269496556258e+08 4.1049230117009658e+08 4.0993668647634315e+08 4.0931348977383757e+08 4.0864656789143252e+08 4.0792365647519416e+08 4.0713517882845175e+08 4.0626949725766432e+08 4.0531350191595066e+08 4.0424660352210790e+08 4.0307981613510174e+08 4.0175650100066006e+08 4.0027288585339576e+08 3.9860744976194334e+08 3.9673703218373221e+08 3.9463774914804804e+08 3.9228564335460228e+08 3.8965252964045447e+08 3.8675051716585648e+08 3.8351680711582190e+08 3.7996762917518753e+08 3.7611119174882650e+08 3.7197774090157574e+08 3.6761873748011827e+08 3.6313213090095854e+08 3.5866212315242201e+08 3.5445528904207194e+08 3.5080078246135640e+08 3.4817342329992604e+08 3.4722654422525138e+08 3.4891486980382204e+08 3.5462259786493462e+08 3.6644762933176214e+08 3.8770991505970937e+08 4.2401841956272054e+08 2.3996740192761299e+08 +4.8894631543848313e+00 2.8422079498328614e+08 2.8419831238927048e+08 2.8416054345092833e+08 2.8411399707861966e+08 2.8407415913965106e+08 2.8406296684747481e+08 2.8408928184538537e+08 2.8413716850310802e+08 2.8419172831391096e+08 2.8425151868087626e+08 2.8432012870317721e+08 2.8439948464655280e+08 2.8449117181234032e+08 2.8459741226829970e+08 2.8472093580830997e+08 2.8486480275595015e+08 2.8503276595025539e+08 2.8522942221933365e+08 2.8546021195773721e+08 2.8573147737523133e+08 2.8605063300561297e+08 2.8642633900583827e+08 2.8686944566808599e+08 2.8739827740884531e+08 2.8803922288811368e+08 2.8880796910534585e+08 2.8971531593891567e+08 2.9078038411971092e+08 2.9202839569157833e+08 2.9348869115466875e+08 2.9519470266926211e+08 2.9718422704633969e+08 2.9949967085983890e+08 3.0218818051275074e+08 3.0530159106715053e+08 3.0889603628240091e+08 3.1303116677784616e+08 3.1776873777208942e+08 3.2317043323741233e+08 3.2929455962386769e+08 3.3673729190768963e+08 3.4511606574072355e+08 3.5444474097316533e+08 3.6469318761686713e+08 3.7577183614082891e+08 3.8751657406427634e+08 3.9967743498899215e+08 4.1191588295250440e+08 4.2381655600514257e+08 4.3491357055585068e+08 4.4473136941481996e+08 4.5287192725006062e+08 4.5907626630748522e+08 4.6320164287713730e+08 4.6528442527276230e+08 4.6552607392309117e+08 4.6422653720726573e+08 4.6174249886454183e+08 4.5842246594196135e+08 4.5460244606578588e+08 4.5053429936934525e+08 4.4643927913202000e+08 4.4244813101720095e+08 4.3868704402987331e+08 4.3520651522458631e+08 4.3203603929612499e+08 4.2920589539167100e+08 4.2669911597561604e+08 4.2448945716477841e+08 4.2256912236157060e+08 4.2089018256219518e+08 4.1944488790549493e+08 4.1820125201807648e+08 4.1714545878450161e+08 4.1623849327650309e+08 4.1543352184333855e+08 4.1471518061530519e+08 4.1405692028647685e+08 4.1341447170610499e+08 4.1295294531531376e+08 4.1248468615417993e+08 4.1200592999691421e+08 4.1150411731292152e+08 4.1098633650079775e+08 4.1043602398299086e+08 4.0988047266590011e+08 4.0925736256744063e+08 4.0859053327889717e+08 4.0786772212647176e+08 4.0707935372618145e+08 4.0621379197899240e+08 4.0525792883496737e+08 4.0419118246186066e+08 4.0302454244152284e+08 4.0170140987509167e+08 4.0021799926471364e+08 3.9855279262827402e+08 3.9668263259766787e+08 3.9458363847528273e+08 3.9223185624557900e+08 3.8959910906776232e+08 3.8669748234586781e+08 3.8346421676723844e+08 3.7991552653784162e+08 3.7605961893808132e+08 3.7192673588261712e+08 3.6756833116033083e+08 3.6308234075831890e+08 3.5861295099373931e+08 3.5440668257251787e+08 3.5075267811647224e+08 3.4812568021867603e+08 3.4717893594712454e+08 3.4886703105218261e+08 3.5457397547153771e+08 3.6639738453069544e+08 3.8765675997664398e+08 4.2396026916805619e+08 2.3949844746691978e+08 +4.8944314771590891e+00 2.8531904652897316e+08 2.8529643931036466e+08 2.8525846786611658e+08 2.8521165352349627e+08 2.8517155135229439e+08 2.8516019782687849e+08 2.8518649951876718e+08 2.8523444447010034e+08 2.8528905706017751e+08 2.8534887784037822e+08 2.8541750375077647e+08 2.8549686064600593e+08 2.8558852988718343e+08 2.8569473053382510e+08 2.8581818965591127e+08 2.8596196385078835e+08 2.8612980161414546e+08 2.8632629503550965e+08 2.8655687894556540e+08 2.8682788878940564e+08 2.8714673098271763e+08 2.8752205550430584e+08 2.8796469658936197e+08 2.8849295064971632e+08 2.8913318561518693e+08 2.8990107872646350e+08 2.9080740604571503e+08 2.9187125565014148e+08 2.9311781093677849e+08 2.9457636575400430e+08 2.9628029565133893e+08 2.9826732851701295e+08 3.0057978679827118e+08 3.0326471406059569e+08 3.0637381957509017e+08 3.0996308311091608e+08 3.1409196707324171e+08 3.1882199724591976e+08 3.2421457949531335e+08 3.3032768573499405e+08 3.3775599635570723e+08 3.4611710801008040e+08 3.5542421560949719e+08 3.6564645615375042e+08 3.7669349987719518e+08 3.8840051891145819e+08 4.0051698469000655e+08 4.1270409318679911e+08 4.2454666360299939e+08 4.3557957194244367e+08 4.4532867017611766e+08 4.5339789022403479e+08 4.5953055654527426e+08 4.6358633604591548e+08 4.6560370937401366e+08 4.6578571482127750e+08 4.6443321396636415e+08 4.6190316166852212e+08 4.5854383272150254e+08 4.5469064586252695e+08 4.5059473904594737e+08 4.4647658017661744e+08 4.4246621171542484e+08 4.3868916502154338e+08 4.3519541637788928e+08 4.3201402824267745e+08 4.2917490642373925e+08 4.2666081821924973e+08 4.2444529001739353e+08 4.2252032144960749e+08 4.2083784411726213e+08 4.1938993015926403e+08 4.1814445741263568e+08 4.1708745566786522e+08 4.1617976257284427e+08 4.1537442632696849e+08 4.1465594074370998e+08 4.1399765545975339e+08 4.1335525348876339e+08 4.1289378276095176e+08 4.1242558721759731e+08 4.1194689916712499e+08 4.1144515901912463e+08 4.1092745339878178e+08 4.1037722551586682e+08 4.0982174103860652e+08 4.0919872136776346e+08 4.0853198876479417e+08 4.0780928231179249e+08 4.0702102799611974e+08 4.0615559138510710e+08 4.0519986630537307e+08 4.0413327848335820e+08 4.0296679304639977e+08 4.0164385117123193e+08 4.0016065420562971e+08 3.9849568724849522e+08 3.9662579624968481e+08 3.9452710393010128e+08 3.9217565970620829e+08 3.8954329521555531e+08 3.8664207211891359e+08 3.8340927086873066e+08 3.7986109014526713e+08 3.7600573605407816e+08 3.7187344617356002e+08 3.6751566691946411e+08 3.6303032024791372e+08 3.5856157590173519e+08 3.5435589905206525e+08 3.5070241916302264e+08 3.4807579866218352e+08 3.4712919498965782e+08 3.4881704924712056e+08 3.5452317497186893e+08 3.6634488899745482e+08 3.8760122354806405e+08 4.2389951448788369e+08 2.3902971412693185e+08 +4.8993997999333470e+00 2.8641412857964897e+08 2.8639139580512178e+08 2.8635321975027204e+08 2.8630613941749430e+08 2.8626577359702498e+08 2.8625425912219530e+08 2.8628054717921245e+08 2.8632854978881872e+08 2.8638321441203046e+08 2.8644306480567163e+08 2.8651170569451976e+08 2.8659106250379747e+08 2.8668271262295216e+08 2.8678887208182448e+08 2.8691226519061148e+08 2.8705594478216612e+08 2.8722365496050483e+08 2.8741998301940614e+08 2.8765035815587234e+08 2.8792110897023851e+08 2.8823963366578513e+08 2.8861457193495452e+08 2.8905674181925660e+08 2.8958441149859786e+08 2.9022392783610463e+08 2.9099095811359847e+08 2.9189625444669276e+08 2.9295887202580088e+08 2.9420395529097712e+08 2.9566075107944554e+08 2.9736257792563134e+08 2.9934709434196228e+08 3.0165653814876497e+08 3.0433784952800494e+08 3.0744261137646562e+08 3.1102664886282235e+08 3.1514923556430358e+08 3.1987166724545640e+08 3.2525507116014236e+08 3.3135708432698137e+08 3.3877088610141808e+08 3.4711423958942968e+08 3.5639967581384039e+08 3.6659560078447121e+08 3.7761092776678526e+08 3.8928011821983606e+08 4.0135208763871056e+08 4.1348777145241559e+08 4.2527217819081330e+08 4.3624095124944705e+08 4.4592135777780235e+08 4.5391928976688999e+08 4.5998037260011530e+08 4.6396667848547971e+08 4.6591879197597790e+08 4.6604131910842484e+08 4.6463602477088368e+08 4.6206012654347235e+08 4.5866166083655787e+08 4.5477545362052268e+08 4.5065191883122909e+08 4.4651073850557131e+08 4.4248125241214359e+08 4.3868833514924127e+08 4.3518144343651986e+08 4.3198920872145522e+08 4.2914116460043496e+08 4.2661981430107254e+08 4.2439845554784024e+08 4.2246888506315017e+08 4.2078289593993646e+08 4.1933238309445447e+08 4.1808508934733754e+08 4.1702689111722070e+08 4.1611847949500406e+08 4.1531278532971519e+08 4.1459416080075431e+08 4.1393585507989687e+08 4.1329350383744615e+08 4.1283209164125180e+08 4.1236396259677655e+08 4.1188534558687800e+08 4.1138368104488242e+08 4.1086605378266788e+08 4.1031591388130170e+08 4.0976049969685078e+08 4.0913757426401019e+08 4.0847094242476767e+08 4.0774834509306270e+08 4.0696020968431658e+08 4.0609490350474566e+08 4.0513932233808464e+08 4.0407289957572305e+08 4.0290657591602540e+08 4.0158383282940829e+08 4.0010085858712107e+08 3.9843614150121343e+08 3.9656653098035669e+08 3.9446815331142849e+08 3.9211706148953938e+08 3.8948509578471291e+08 3.8658429412847859e+08 3.8335197699989659e+08 3.7980432750700998e+08 3.7594955053024834e+08 3.7181787912660950e+08 3.6746075202375710e+08 3.6297607654633611e+08 3.5850800496483546e+08 3.5430294548659158e+08 3.5065001253381133e+08 3.4802378551121718e+08 3.4707732821490330e+08 3.4876493128438938e+08 3.5447020337448704e+08 3.6629014997501040e+08 3.8754331343665147e+08 4.2383616390188640e+08 2.3856120547239828e+08 +4.9043681227076048e+00 2.8750602571137702e+08 2.8748317055193901e+08 2.8744479089802778e+08 2.8739744605631840e+08 2.8735681705119699e+08 2.8734514191539776e+08 2.8737141601677340e+08 2.8741947564936185e+08 2.8747419155796957e+08 2.8753407076781595e+08 2.8760272572728574e+08 2.8768208141726321e+08 2.8777371122005481e+08 2.8787982811569673e+08 2.8800315362106925e+08 2.8814673676473427e+08 2.8831431721148098e+08 2.8851047740162319e+08 2.8874064082998520e+08 2.8901112917116988e+08 2.8932933232274556e+08 2.8970387958270854e+08 2.9014557266421223e+08 2.9067265128737301e+08 2.9131144091340566e+08 2.9207759866584414e+08 2.9298185258544439e+08 2.9404322474200886e+08 2.9528682031069648e+08 2.9674183876019007e+08 2.9844154120731992e+08 3.0042351633792669e+08 3.0272991684787661e+08 3.0540757899352437e+08 3.0850795871650326e+08 3.1208672598074353e+08 3.1620296492653793e+08 3.2091774072135162e+08 3.2629190150729203e+08 3.3238274905803019e+08 3.3978195528850466e+08 3.4810745519788635e+08 3.5737111698291618e+08 3.6754061769971228e+08 3.7852411691722995e+08 3.9015537014383483e+08 4.0218274316039842e+08 4.1426691835288978e+08 4.2599310172637177e+08 4.3689771181450528e+08 4.4650943690279365e+08 4.5443613180935395e+08 4.6042572148873818e+08 4.6434267810118365e+08 4.6622968165360570e+08 4.6629289581799686e+08 4.6483497892831004e+08 4.6221340292360294e+08 4.5877595973905373e+08 4.5485687873836625e+08 4.5070584802627212e+08 4.4654176330278611e+08 4.4249326216464460e+08 4.3868456334767765e+08 4.3516460522042549e+08 4.3196158944734204e+08 4.2910467854360878e+08 4.2657611276227999e+08 4.2434896222761899e+08 4.2241482161465156e+08 4.2072534639329731e+08 4.1927225503354394e+08 4.1802315611023903e+08 4.1696377339450800e+08 4.1605465228351295e+08 4.1524860707370979e+08 4.1452984899420935e+08 4.1387152734011424e+08 4.1322923093302780e+08 4.1276788012805474e+08 4.1229982045504320e+08 4.1182127740935361e+08 4.1131969153357124e+08 4.1080214578611529e+08 4.1025209720165366e+08 4.0969675675149894e+08 4.0907392935510975e+08 4.0840740234508771e+08 4.0768491854113317e+08 4.0689690684657174e+08 4.0603173637721103e+08 4.0507630495268118e+08 4.0401005373801285e+08 4.0284389902546805e+08 4.0152136279823059e+08 4.0003862032855517e+08 3.9837416327281284e+08 3.9650484463983101e+08 3.9440679442826033e+08 3.9205606935736227e+08 3.8942451848483688e+08 3.8652415602636015e+08 3.8329234274892569e+08 3.7974524614115292e+08 3.7589106980798900e+08 3.7176004210142773e+08 3.6740359374633437e+08 3.6291961683867317e+08 3.5845224527926290e+08 3.5424782888897324e+08 3.5059546516990423e+08 3.4796964765472442e+08 3.4702334249326265e+08 3.4871068406787151e+08 3.5441506769602555e+08 3.6623317471368271e+08 3.8748303731357718e+08 4.2377022580018491e+08 2.3809292504823714e+08 +4.9093364454818627e+00 2.8859473423883569e+08 2.8857175732027918e+08 2.8853317384275067e+08 2.8848556457953840e+08 2.8844467302862769e+08 2.8843283749257052e+08 2.8845909731014007e+08 2.8850721332954705e+08 2.8856197977415723e+08 2.8862188700599831e+08 2.8869055513054144e+08 2.8876990866963708e+08 2.8886151696535426e+08 2.8896758992720658e+08 2.8909084624414593e+08 2.8923433110103369e+08 2.8940177967682552e+08 2.8959776950072986e+08 2.8982771829666972e+08 2.9009794073348546e+08 2.9041581830978227e+08 2.9078996982174087e+08 2.9123118051892233e+08 2.9175766143622518e+08 2.9239571629808038e+08 2.9316099187149370e+08 2.9406419199368775e+08 2.9512430538297510e+08 2.9636639764167798e+08 2.9781962051532304e+08 2.9951717730108780e+08 3.0149658641107208e+08 3.0379991492216098e+08 3.0647389462524796e+08 3.0956985393129259e+08 3.1314330699855572e+08 3.1725314792778194e+08 3.2196021071724272e+08 3.2732506390526044e+08 3.3340467367911088e+08 3.4078919815395385e+08 3.4909674964782107e+08 3.5833853460752076e+08 3.6848150318327355e+08 3.7943306452995008e+08 3.9102627293052113e+08 4.0300895067182195e+08 4.1504153458036417e+08 4.2670943625112128e+08 4.3754985705452091e+08 4.4709291230735910e+08 4.5494842234572130e+08 4.6086661028703880e+08 4.6471434284897643e+08 4.6653638702577651e+08 4.6654045402087504e+08 4.6503008577815360e+08 4.6236300026914859e+08 4.5888673890404665e+08 4.5493493063414526e+08 4.5075653595091856e+08 4.4656966376671255e+08 4.4250225004561436e+08 4.3867785856533927e+08 4.3514491056132144e+08 4.3193117914651251e+08 4.2906545688655967e+08 4.2652972215501684e+08 4.2429681853851098e+08 4.2235813952691668e+08 4.2066520385046941e+08 4.1920955430877554e+08 4.1795866600058848e+08 4.1689811077215785e+08 4.1598828918858260e+08 4.1518189979133636e+08 4.1446301354016966e+08 4.1380468044399673e+08 4.1316244296552378e+08 4.1270115640245599e+08 4.1223316896349657e+08 4.1175470279683226e+08 4.1125319863784891e+08 4.1073573755075389e+08 4.1018578360776991e+08 4.0963052032241988e+08 4.0900779474863404e+08 4.0834137661982048e+08 4.0761901073631340e+08 4.0683112754787523e+08 4.0596609804911578e+08 4.0501082217738384e+08 4.0394474897708690e+08 4.0277877035932952e+08 4.0145644903626746e+08 3.9997394735882318e+08 3.9830976045895052e+08 3.9644074508627766e+08 3.9434303509723371e+08 3.9199269108010113e+08 3.8936157103413981e+08 3.8646166547400671e+08 3.8323037571264720e+08 3.7968385357390851e+08 3.7583030133776891e+08 3.7169994246626776e+08 3.6734419936891443e+08 3.6286094831747258e+08 3.5839430395002985e+08 3.5419055628036135e+08 3.5053878402010775e+08 3.4791339198971611e+08 3.4696724470276946e+08 3.4865431450878876e+08 3.5435777496083057e+08 3.6617397047191042e+08 3.8742040285874021e+08 4.2370170858154941e+08 2.3762487637958124e+08 +4.9143047682561205e+00 2.8968024654656690e+08 2.8965714611787438e+08 2.8961836002222604e+08 2.8957048642858905e+08 2.8952933303261077e+08 2.8951733723980474e+08 2.8954358242336309e+08 2.8959175419378459e+08 2.8964657042445987e+08 2.8970650488713932e+08 2.8977518527316332e+08 2.8985453563301468e+08 2.8994612123426044e+08 2.9005214889547354e+08 2.9017533444359130e+08 2.9031871918146735e+08 2.9048603375438607e+08 2.9068185072341478e+08 2.9091158197316688e+08 2.9118153508658838e+08 2.9149908307130665e+08 2.9187283411394221e+08 2.9231355686649305e+08 2.9283943345314360e+08 2.9347674552934092e+08 2.9424112930704534e+08 2.9514326429234934e+08 2.9620210562165314e+08 2.9744267901852602e+08 2.9889408815211004e+08 3.0058947810071087e+08 3.0256629655784541e+08 3.0486652448783094e+08 3.0753678868200570e+08 3.1062828944763845e+08 3.1419638454152149e+08 3.1829977742749673e+08 3.2299907036835599e+08 3.2835455181524009e+08 3.3442285203488207e+08 3.4179260902904171e+08 3.5008211784679449e+08 3.5930192427376723e+08 3.6941825361365390e+08 3.8033776789993000e+08 3.9189282491893119e+08 4.0383070967893273e+08 4.1581162091402906e+08 4.2742118388973790e+08 4.3819739046339649e+08 4.4767178881886661e+08 4.5545616743601269e+08 4.6130304612784374e+08 4.6508168073461467e+08 4.6683891675386655e+08 4.6678400282433391e+08 4.6522135468960136e+08 4.6250892806764650e+08 4.5899400782927126e+08 4.5500961874559933e+08 4.5080399194167966e+08 4.4659444911301005e+08 4.4250822514123046e+08 4.3866822976328933e+08 4.3512236830274451e+08 4.3189798655718756e+08 4.2902350827284443e+08 4.2648065104043305e+08 4.2424203297245818e+08 4.2229884723213547e+08 4.2060247669401413e+08 4.1914428926121193e+08 4.1789162732594621e+08 4.1682991153024906e+08 4.1591939846878040e+08 4.1511267172369730e+08 4.1439366266501832e+08 4.1373532260317802e+08 4.1309314813426131e+08 4.1263192865402365e+08 4.1216401630299419e+08 4.1168562992037296e+08 4.1118421051826119e+08 4.1066683722712225e+08 4.1011698123947704e+08 4.0956179853879309e+08 4.0893917856110996e+08 4.0827287335227251e+08 4.0755062976742911e+08 4.0676287986080623e+08 4.0589799657695752e+08 4.0494288204939902e+08 4.0387699330904204e+08 4.0271119791024137e+08 4.0138909950974280e+08 3.9990684761518329e+08 3.9824294096366960e+08 3.9637424018740773e+08 3.9427688314380699e+08 3.9192693443673843e+08 3.8929626115924680e+08 3.8639683014014542e+08 3.8316608349593496e+08 3.7962015733985746e+08 3.7576725257727927e+08 3.7163758759748197e+08 3.6728257618152404e+08 3.6280007818385017e+08 3.5833418808857810e+08 3.5413113468942672e+08 3.5047997604041785e+08 3.4785502542024136e+08 3.4690904172854137e+08 3.4859582952588922e+08 3.5429833220087427e+08 3.6611254451637971e+08 3.8735541776020074e+08 4.2363062065398639e+08 2.3715706297182202e+08 +4.9192730910303784e+00 2.9076254990296745e+08 2.9073932732651824e+08 2.9070034022776538e+08 2.9065220291629720e+08 2.9061078856354272e+08 2.9059863263390988e+08 2.9062486280627578e+08 2.9067308969334143e+08 2.9072795496057504e+08 2.9078791586563843e+08 2.9085660761218697e+08 2.9093595376654363e+08 2.9102751548994529e+08 2.9113349648738140e+08 2.9125660969191194e+08 2.9139989248406041e+08 2.9156707092963308e+08 2.9176271256327689e+08 2.9199222336368203e+08 2.9226190374789011e+08 2.9257911813942617e+08 2.9295246400919992e+08 2.9339269327771324e+08 2.9391795893473852e+08 2.9455452023446780e+08 2.9531800263705081e+08 2.9621906119040662e+08 2.9727661721939039e+08 2.9851565626512378e+08 2.9996523356732506e+08 3.0165843558977324e+08 3.0363263886327076e+08 3.0592973775129896e+08 3.0859625351276416e+08 3.1168325778291661e+08 3.1524595132548285e+08 3.1934284637621593e+08 3.2403431290272409e+08 3.2938035879093575e+08 3.3543727806210119e+08 3.4279218233740753e+08 3.5106355479493922e+08 3.6026128166019219e+08 3.7035086546234858e+08 3.8123822441488856e+08 3.9275502454042220e+08 4.0464801977796704e+08 4.1657717821941191e+08 4.2812834684896702e+08 4.3884031561275762e+08 4.4824607133653194e+08 4.5595937320337147e+08 4.6173503620068204e+08 4.6544469981304926e+08 4.6713727954152715e+08 4.6702355137199253e+08 4.6540879506408483e+08 4.6265119583168793e+08 4.5909777603488338e+08 4.5508095253139657e+08 4.5084822535220033e+08 4.4661612857116508e+08 4.4251119655238926e+08 4.3865568591557717e+08 4.3509698730193102e+08 4.3186202042828685e+08 4.2897884135703963e+08 4.2642890799127960e+08 4.2418461403030819e+08 4.2223695317216444e+08 4.2053717331556875e+08 4.1907646824135667e+08 4.1782204840326905e+08 4.1675918395844239e+08 4.1584798839273775e+08 4.1504093112000382e+08 4.1432180460211581e+08 4.1366346203829741e+08 4.1302135464657950e+08 4.1256020508146799e+08 4.1209237066233301e+08 4.1161406695935780e+08 4.1111273534455252e+08 4.1059545297466922e+08 4.1004569824562883e+08 4.0949059953761888e+08 4.0886808891760969e+08 4.0820190065417308e+08 4.0747978373230010e+08 4.0669217186748773e+08 4.0582744002515358e+08 4.0487249261477137e+08 4.0380679475860721e+08 4.0264118967948538e+08 4.0131932219392407e+08 3.9983732904324865e+08 3.9817371270031679e+08 3.9630533781859058e+08 3.9420834640170568e+08 3.9185880721391088e+08 3.8922859659522355e+08 3.8632965770203060e+08 3.8309947371171951e+08 3.7955416498174322e+08 3.7570193099297458e+08 3.7157298487879139e+08 3.6721873148168957e+08 3.6273701364585459e+08 3.5827190481513536e+08 3.5406957115220815e+08 3.5041904819454151e+08 3.4779455485727018e+08 3.4684874046343368e+08 3.4853523604540396e+08 3.5423674645597667e+08 3.6604890412131929e+08 3.8728808971404630e+08 4.2355697043406719e+08 2.3668948831065372e+08 +4.9242414138046362e+00 2.9184163810163635e+08 2.9181829475598478e+08 2.9177910674674028e+08 2.9173070536323559e+08 2.9168903110798359e+08 2.9167671522395170e+08 2.9170292999328190e+08 2.9175121136640924e+08 2.9180612492216873e+08 2.9186611148247856e+08 2.9193481369207650e+08 2.9201415461672974e+08 2.9210569128241795e+08 2.9221162425721323e+08 2.9233466354797781e+08 2.9247784257449347e+08 2.9264488277517486e+08 2.9284034660270780e+08 2.9306963406077933e+08 2.9333903832199878e+08 2.9365591513381255e+08 2.9402885114475006e+08 2.9446858141124904e+08 2.9499322956493962e+08 2.9562903212900978e+08 2.9639160361444169e+08 2.9729157448480338e+08 2.9834783202600044e+08 2.9958532129275131e+08 3.0103304874657005e+08 3.0272404184057581e+08 3.0469560550228870e+08 3.0698954700851727e+08 3.0965228155621606e+08 3.1273475154429412e+08 3.1629200015786314e+08 3.2038234781583899e+08 3.2506593163907981e+08 3.3040247847769195e+08 3.3644794579104710e+08 3.4378791259658486e+08 3.5204105558629268e+08 3.6121660254010367e+08 3.7127933529527956e+08 3.8213443155562055e+08 3.9361287031736743e+08 4.0546088065462852e+08 4.1733820744905531e+08 4.2883092741897172e+08 4.3947863615149724e+08 4.4881576482879102e+08 4.5645804583570176e+08 4.6216258775087231e+08 4.6580340818800288e+08 4.6743148413377106e+08 4.6725910884198636e+08 4.6559241633216596e+08 4.6278981310020089e+08 4.5919805306290382e+08 4.5514894146752572e+08 4.5088924555380291e+08 4.4663471138720047e+08 4.4251117339302611e+08 4.3864023600894570e+08 4.3506877642545742e+08 4.3182328951995075e+08 4.2893146480402738e+08 4.2637450158968467e+08 4.2412457022361207e+08 4.2217246579809088e+08 4.2046930211519402e+08 4.1900609960837185e+08 4.1774993755759883e+08 4.1668593635546869e+08 4.1577406723601407e+08 4.1496668623828101e+08 4.1424744759475625e+08 4.1358910697871614e+08 4.1294707071836841e+08 4.1248599389166439e+08 4.1201824023954386e+08 4.1154002210230458e+08 4.1103878129493600e+08 4.1052159296149999e+08 4.0997194278288770e+08 4.0941693146489090e+08 4.0879453395135647e+08 4.0812846664592397e+08 4.0740648073663086e+08 4.0661901165783423e+08 4.0575443646695417e+08 4.0479966192713672e+08 4.0373416135838878e+08 4.0256875367663944e+08 4.0124712507195902e+08 3.9976539959641153e+08 3.9810208358817267e+08 3.9623404586281073e+08 3.9413743271287805e+08 3.9178831720718676e+08 3.8915858508475274e+08 3.8626015584455824e+08 3.8303055398107290e+08 3.7948588404979670e+08 3.7563434405802703e+08 3.7150614170153493e+08 3.6715267257419848e+08 3.6267176191958761e+08 3.5820746125662053e+08 3.5400587271232426e+08 3.5035600745303053e+08 3.4773198721978617e+08 3.4678634780686849e+08 3.4847254100082934e+08 3.5417302477252090e+08 3.6598305656834745e+08 3.8721842642464596e+08 4.2348076634787601e+08 2.3622215586211789e+08 +4.9292097365788941e+00 2.9291750412788439e+08 2.9289403949696887e+08 2.9285464897474730e+08 2.9280598595042145e+08 2.9276405223806083e+08 2.9275157662052983e+08 2.9277777560427284e+08 2.9282611083836448e+08 2.9288107193605459e+08 2.9294108336713195e+08 2.9300979514484632e+08 2.9308912981813073e+08 2.9318064024945199e+08 2.9328652384680986e+08 2.9340948765877372e+08 2.9355256110560411e+08 2.9371946095181721e+08 2.9391474451037550e+08 2.9414380574429238e+08 2.9441293050123715e+08 2.9472946576209521e+08 2.9510198724579763e+08 2.9554121301327765e+08 2.9606523711622286e+08 2.9670027301602852e+08 2.9746192407956707e+08 2.9836079606119359e+08 2.9941574197976351e+08 3.0065166610257417e+08 3.0209752576381034e+08 3.0378628901408845e+08 3.0575518873882765e+08 3.0804594464458734e+08 3.1070486534091890e+08 3.1378276342979002e+08 3.1733452393552822e+08 3.2141827487927377e+08 3.2609391998785007e+08 3.3142090461297917e+08 3.3745484934298456e+08 3.4477979441621679e+08 3.5301461540814745e+08 3.6216788277920496e+08 3.7220365977044541e+08 3.8302638689529920e+08 3.9446636086351407e+08 4.0626929208380854e+08 4.1809470964110148e+08 4.2952892796978086e+08 4.4011235580488873e+08 4.4938087433606815e+08 4.5695219158362216e+08 4.6258570808015829e+08 4.6615781401217049e+08 4.6772153931775600e+08 4.6749068444886935e+08 4.6577222795413435e+08 4.6292478943719798e+08 4.5929484847759497e+08 4.5521359504994816e+08 4.5092706193369162e+08 4.4665020682120669e+08 4.4250816479127890e+08 4.3862188904263008e+08 4.3503774455365580e+08 4.3178180260277176e+08 4.2888138728867388e+08 4.2631744042737842e+08 4.2406191007265806e+08 4.2210539356962824e+08 4.2039887150329912e+08 4.1893319173026603e+08 4.1767530312262636e+08 4.1661017702739871e+08 4.1569764328321767e+08 4.1488994534507149e+08 4.1417059989358205e+08 4.1351226566148400e+08 4.1287030457454592e+08 4.1240930329914796e+08 4.1194163323990411e+08 4.1146350354513597e+08 4.1096235655563504e+08 4.1044526536341852e+08 4.0989572301603544e+08 4.0934080247452068e+08 4.0871852180427665e+08 4.0805257945586610e+08 4.0733072889378512e+08 4.0654340733071262e+08 4.0567899398346144e+08 4.0472439804856938e+08 4.0365910114936447e+08 4.0249389791954052e+08 4.0117251613520014e+08 3.9969106723674935e+08 3.9802806155717421e+08 3.9616037221196634e+08 3.9406414992680824e+08 3.9171547221931243e+08 3.8908623437830997e+08 3.8618833226087046e+08 3.8295933193205678e+08 3.7941532210181189e+08 3.7556449925392497e+08 3.7143706546491498e+08 3.6708440677109337e+08 3.6260433022807729e+08 3.5814086454647529e+08 3.5394004641986984e+08 3.5029086079392689e+08 3.4766732943296510e+08 3.4672187066579086e+08 3.4840775133214253e+08 3.5410717420438433e+08 3.6591500914607364e+08 3.8714643560418534e+08 4.2340201682945675e+08 2.3575506907264844e+08 +4.9341780593531519e+00 2.9399013468963480e+08 2.9396655162266326e+08 2.9392695981415403e+08 2.9387803647697771e+08 2.9383584360243607e+08 2.9382320849833649e+08 2.9384939134610003e+08 2.9389777982176447e+08 2.9395278771654546e+08 2.9401282323543221e+08 2.9408154368954766e+08 2.9416087109096164e+08 2.9425235411581230e+08 2.9435818698466069e+08 2.9448107375804204e+08 2.9462403981747395e+08 2.9479079720694363e+08 2.9498589804299480e+08 2.9521473018112415e+08 2.9548357206531322e+08 2.9579976181835043e+08 2.9617186412502462e+08 2.9661057991782045e+08 2.9713397344738239e+08 2.9776823478618854e+08 2.9852895596144795e+08 2.9942671789266640e+08 3.0048033910637712e+08 3.0171468278267509e+08 3.0315865678155792e+08 3.0484516935988021e+08 3.0681138092559063e+08 3.0909892313376576e+08 3.1175399748498267e+08 3.1482728622726148e+08 3.1837351564618206e+08 3.2245062078994602e+08 3.2711827145074469e+08 3.3243563102618116e+08 3.3845798293324447e+08 3.4576782249913317e+08 3.5398422953995466e+08 3.6311511833632255e+08 3.7312383563852984e+08 3.8391408809876531e+08 3.9531549488287705e+08 4.0707325392843175e+08 4.1884668591954088e+08 4.3022235095561016e+08 4.4074147837393856e+08 4.4994140496760738e+08 4.5744181676055342e+08 4.6300440454512405e+08 4.6650792548495954e+08 4.6800745392157930e+08 4.6771828744142646e+08 4.6594823941998243e+08 4.6305613443219638e+08 4.5938817186372459e+08 4.5527492279276538e+08 4.5096168389557856e+08 4.4666262414741427e+08 4.4250217988733274e+08 4.3860065402763927e+08 4.3500390057623166e+08 4.3173756845829672e+08 4.2882861749611098e+08 4.2625773310582721e+08 4.2399664210689831e+08 4.2203574495605469e+08 4.2032588989757514e+08 4.1885775298303300e+08 4.1759815344090408e+08 4.1653191428931797e+08 4.1561872482732773e+08 4.1481071671494019e+08 4.1409126975770408e+08 4.1343294633207166e+08 4.1279106444720870e+08 4.1233014152781910e+08 4.1186255787756437e+08 4.1138451949215543e+08 4.1088346932083410e+08 4.1036647836428845e+08 4.0981704711893821e+08 4.0926222072847950e+08 4.0864006062548852e+08 4.0797424722013789e+08 4.0725253632651007e+08 4.0646536699172497e+08 4.0560112066318649e+08 4.0464670904889297e+08 4.0358162218018323e+08 4.0241663043332815e+08 4.0109550338259864e+08 3.9961433993410295e+08 3.9795165454341489e+08 3.9608432476496327e+08 3.9398850590108836e+08 3.9164028006075817e+08 3.8901155223423481e+08 3.8611419465084505e+08 3.8288581520070881e+08 3.7934248670313948e+08 3.7549240406918335e+08 3.7136576357496649e+08 3.6701394139183128e+08 3.6253472580127996e+08 3.5807212182685137e+08 3.5387209933218688e+08 3.5022361520163262e+08 3.4760058842915845e+08 3.4665531595366728e+08 3.4834087398645872e+08 3.5403920181209993e+08 3.6584476915128022e+08 3.8707212497146660e+08 4.2332073032093126e+08 2.3528823136911690e+08 +4.9391463821274098e+00 2.9505952757872736e+08 2.9503582386887610e+08 2.9499603246043730e+08 2.9494684860665011e+08 2.9490439694944894e+08 2.9489160261873841e+08 2.9491776901517791e+08 2.9496621011556733e+08 2.9502126406547403e+08 2.9508132289032441e+08 2.9515005113280576e+08 2.9522937024386370e+08 2.9532082469341075e+08 2.9542660548715734e+08 2.9554941366700470e+08 2.9569227053734934e+08 2.9585888337519145e+08 2.9605379904371947e+08 2.9628239922540897e+08 2.9655095488104135e+08 2.9686679518526191e+08 2.9723847368241453e+08 2.9767667404620248e+08 2.9819943050609893e+08 2.9883290941845995e+08 2.9959269127620006e+08 3.0048933204045033e+08 3.0154161552038938e+08 3.0277436350994545e+08 3.0421643405058455e+08 3.0590067521624810e+08 3.0786417450420231e+08 3.1014847503993428e+08 3.1279967069576317e+08 3.1586831281341952e+08 3.1940896836740023e+08 3.2347937886210579e+08 3.2813897962048107e+08 3.3344665163769150e+08 3.3945734086681241e+08 3.4675199163954514e+08 3.5494989335469872e+08 3.6405830526273638e+08 3.7403985974323559e+08 3.8479753292264771e+08 3.9616027117038178e+08 4.0787276614000696e+08 4.1959413749260390e+08 4.3091119890868253e+08 4.4136600773587060e+08 4.5049736190256482e+08 4.5792692774207360e+08 4.6341868455810076e+08 4.6685375085455608e+08 4.6828923681382149e+08 4.6794192710227758e+08 4.6612046024913955e+08 4.6318385769882596e+08 4.5947803282829511e+08 4.5533293422855908e+08 4.5099312085929549e+08 4.4667197265548158e+08 4.4249322783511424e+08 4.3857653998644328e+08 4.3496725339464045e+08 4.3169059587754726e+08 4.2877316412087572e+08 4.2619538823505586e+08 4.2392877486428452e+08 4.2196352843440318e+08 4.2025036572418302e+08 4.1877979175114423e+08 4.1751849686231798e+08 4.1645115646415192e+08 4.1553732016912407e+08 4.1472900863025445e+08 4.1400946545434761e+08 4.1335115724383622e+08 4.1270935857680291e+08 4.1224851680839783e+08 4.1178102237411594e+08 4.1130307815548915e+08 4.1080212779296058e+08 4.1028524015631586e+08 4.0973592327161187e+08 4.0918119439655364e+08 4.0855915857261914e+08 4.0789347808247185e+08 4.0717191116402406e+08 4.0638489875497127e+08 4.0552082460288107e+08 4.0456660300590628e+08 4.0350173250699359e+08 4.0233695925090575e+08 4.0101609482084471e+08 3.9953522566497189e+08 3.9787287049027693e+08 3.9600591142862767e+08 3.9391050850044554e+08 3.9156274854947472e+08 3.8893454641777188e+08 3.8603775072244364e+08 3.8281001143045312e+08 3.7926738542595226e+08 3.7541806599938530e+08 3.7129224344531631e+08 3.6694128376316321e+08 3.6246295587618351e+08 3.5800124024513936e+08 3.5380203851323670e+08 3.5015427766694784e+08 3.4753177114731699e+08 3.4658669059009004e+08 3.4827191591697001e+08 3.5396911466296273e+08 3.6577234388655877e+08 3.8699550225386107e+08 4.2323691527252829e+08 2.3482164615887627e+08 +4.9441147049016676e+00 2.9612567061813021e+08 2.9610184635490096e+08 2.9606185774377841e+08 2.9601241371227819e+08 2.9596970415335923e+08 2.9595675085777652e+08 2.9598290049816412e+08 2.9603139360639220e+08 2.9608649287209314e+08 2.9614657422219139e+08 2.9621530936754221e+08 2.9629461917166799e+08 2.9638604388060302e+08 2.9649177125671536e+08 2.9661449929307115e+08 2.9675724517937219e+08 2.9692371137800896e+08 2.9711843944335079e+08 2.9734680481846195e+08 2.9761507090241140e+08 2.9793055783134937e+08 2.9830180790462446e+08 2.9873948740652883e+08 2.9926160032610995e+08 2.9989428897808206e+08 3.0065312212703276e+08 3.0154863065275848e+08 3.0259956342324251e+08 3.0383070054915440e+08 3.0527084990991414e+08 3.0695279901013607e+08 3.0891356200479060e+08 3.1119459301520103e+08 3.1384187777001083e+08 3.1690583615558618e+08 3.2044087526713145e+08 3.2450454249999434e+08 3.2915603818061143e+08 3.3445396045940518e+08 3.4045291754241186e+08 3.4773229672462136e+08 3.5591160231648713e+08 3.6499743970239764e+08 3.7495172901984990e+08 3.8567671921524668e+08 3.9700068861062419e+08 4.0866782875811046e+08 4.2033706565413064e+08 4.3159547444382006e+08 4.4198594784266537e+08 4.5104875038846129e+08 4.5840753096622860e+08 4.6382855558419162e+08 4.6719529841568482e+08 4.6856689690278459e+08 4.6816161274887276e+08 4.6628889998887807e+08 4.6330796887426245e+08 4.5956444099800682e+08 4.5538763890817529e+08 4.5102138226058662e+08 4.4667826164799559e+08 4.4248131780133414e+08 4.3854955595396453e+08 4.3492781192094523e+08 4.3164089366246873e+08 4.2871503586688209e+08 4.2613041443491912e+08 4.2385831689224672e+08 4.2188875249071670e+08 4.2017230741796684e+08 4.1869931642684710e+08 4.1743634174516386e+08 4.1636791188219792e+08 4.1545343761695927e+08 4.1464482938114232e+08 4.1392519525755906e+08 4.1326690665738326e+08 4.1262519521049631e+08 4.1216443737941247e+08 4.1169703495860493e+08 4.1121918775457466e+08 4.1071834018139118e+08 4.1020155893826169e+08 4.0965235966273654e+08 4.0909773165584600e+08 4.0847582381028998e+08 4.0781028019498074e+08 4.0708886154305708e+08 4.0630201074177641e+08 4.0543811390697753e+08 4.0448408800441515e+08 4.0341944019393742e+08 4.0225489241302705e+08 4.0093429846428043e+08 3.9945373241394854e+08 3.9779171734958124e+08 3.9592514011677182e+08 3.9383016559716803e+08 3.9148288551078212e+08 3.8885522470153469e+08 3.8595900819019115e+08 3.8273192827138412e+08 3.7919002585004264e+08 3.7534149254684114e+08 3.7121651249538189e+08 3.6686644121774691e+08 3.6238902769619912e+08 3.5792822695541906e+08 3.5372987103379655e+08 3.5008285518770266e+08 3.4746088453237164e+08 3.4651600150182062e+08 3.4820088408452427e+08 3.5389691983104867e+08 3.6569774066142136e+08 3.8691657518478805e+08 4.2315058014259982e+08 2.3435531682980746e+08 +4.9490830276759255e+00 2.9718856015490890e+08 2.9716461430825382e+08 2.9712442559993219e+08 2.9707472388579810e+08 2.9703175718825167e+08 2.9701864521454936e+08 2.9704477777382451e+08 2.9709332226700085e+08 2.9714846611195707e+08 2.9720856920749861e+08 2.9727731037412131e+08 2.9735660985569435e+08 2.9744800366275561e+08 2.9755367628270286e+08 2.9767632263146734e+08 2.9781895574424595e+08 2.9798527322403789e+08 2.9817981125918621e+08 2.9840793898793370e+08 2.9867591217018378e+08 2.9899104181284845e+08 2.9936185886564261e+08 2.9979901209464103e+08 3.0032047502922344e+08 3.0095236561845285e+08 3.0171024070559931e+08 3.0260460596591067e+08 3.0365417510459054e+08 3.0488368625282341e+08 3.0632189678616065e+08 3.0800153325588661e+08 3.0995953604562825e+08 3.1223726980073977e+08 3.1488061159329641e+08 3.1793984930983752e+08 3.2146922960296470e+08 3.2552610519876909e+08 3.3016944090503764e+08 3.3545755159420729e+08 3.4144470744817489e+08 3.4870873273282921e+08 3.5686935198226732e+08 3.6593251789128345e+08 3.7585944049533266e+08 3.8655164491523248e+08 3.9783674617735732e+08 4.0945844190899670e+08 4.2107547178215379e+08 4.3227518025440907e+08 4.4260130272112465e+08 4.5159557574151021e+08 4.5888363293175125e+08 4.6423402514464831e+08 4.6753257650987154e+08 4.6884044313698471e+08 4.6837735373212975e+08 4.6645356821545106e+08 4.6342847762169659e+08 4.5964740602095199e+08 4.5543904639892286e+08 4.5104647755051535e+08 4.4668150044241565e+08 4.4246645896449339e+08 4.3851971097633266e+08 4.3488558507792735e+08 4.3158847062402934e+08 4.2865424144799560e+08 4.2606282033353859e+08 4.2378527674593908e+08 4.2181142561861080e+08 4.2009172342122567e+08 4.1861633541072321e+08 4.1735169645511121e+08 4.1628218888141960e+08 4.1536708548645461e+08 4.1455818726493931e+08 4.1383846744963568e+08 4.1318020284111309e+08 4.1253858260432476e+08 4.1207791148664081e+08 4.1161060386782640e+08 4.1113285651658052e+08 4.1063211470288926e+08 4.1011544291716009e+08 4.0956636448810780e+08 4.0901184069086504e+08 4.0839006451075691e+08 4.0772466171553910e+08 4.0700339560840631e+08 4.0621671108071262e+08 4.0535299668665379e+08 4.0439917213679188e+08 4.0333475331182796e+08 4.0217043796726429e+08 4.0085012233359885e+08 3.9936986817291474e+08 3.9770820307918805e+08 3.9584201875067598e+08 3.9374748506976259e+08 3.9140069877643347e+08 3.8877359486541295e+08 3.8587797477576357e+08 3.8265157338051122e+08 3.7911041556158340e+08 3.7526269122074568e+08 3.7113857815253919e+08 3.6678942109541488e+08 3.6231294851153266e+08 3.5785308911905396e+08 3.5365560397038960e+08 3.5000935476803148e+08 3.4738793553604496e+08 3.4644325562106496e+08 3.4812778545476514e+08 3.5382262439649904e+08 3.6562096679262894e+08 3.8683535150555623e+08 4.2306173339671832e+08 2.3388924675036433e+08 +4.9540513504501833e+00 2.9824818210100371e+08 2.9822411898177558e+08 2.9818373185255009e+08 2.9813377180069232e+08 2.9809054806834787e+08 2.9807727779255241e+08 2.9810339291148955e+08 2.9815198815625960e+08 2.9820717584798664e+08 2.9826729991037220e+08 2.9833604621825230e+08 2.9841533436402959e+08 2.9850669611134988e+08 2.9861231264122123e+08 2.9873487576274139e+08 2.9887739431956822e+08 2.9904356100798607e+08 2.9923790659484190e+08 2.9946579384895414e+08 2.9973347081147814e+08 3.0004823927230632e+08 3.0041861872640097e+08 3.0085524029242146e+08 3.0137604682335287e+08 3.0200713157923228e+08 3.0276403928940326e+08 3.0365725030339438e+08 3.0470544294085884e+08 3.0593331306012648e+08 3.0736956719395310e+08 3.0904687055625433e+08 3.1100208933373678e+08 3.1327649822586703e+08 3.1591586514006305e+08 3.1897034542159158e+08 3.2249402472126639e+08 3.2654406054238367e+08 3.3117918165791446e+08 3.3645741923553061e+08 3.4243270516465455e+08 3.4968129473414034e+08 3.5782313800047123e+08 3.6686353615645611e+08 3.7676299128848583e+08 3.8742230805226421e+08 3.9866844293446565e+08 4.1024460580620831e+08 4.2180935733755112e+08 4.3295031911387813e+08 4.4321207647233129e+08 4.5213784334524703e+08 4.5935524019837934e+08 4.6463510081289214e+08 4.6786559352476186e+08 4.6910988450449097e+08 4.6858915943558604e+08 4.6661447453307372e+08 4.6354539362592584e+08 4.5972693756477082e+08 4.5548716628686202e+08 4.5106841619502884e+08 4.4668169836854637e+08 4.4244866051558429e+08 4.3848701410960680e+08 4.3484058179801172e+08 4.3153333558356047e+08 4.2859078958580488e+08 4.2599261456798512e+08 4.2370966298911381e+08 4.2173155632063925e+08 4.2000862218447560e+08 4.1853085711005074e+08 4.1726456936505342e+08 4.1619399580793220e+08 4.1527827210118991e+08 4.1446909058688021e+08 4.1374929031993109e+08 4.1309105407069397e+08 4.1244952902029866e+08 4.1198894738375056e+08 4.1152173734544849e+08 4.1104409267618150e+08 4.1054345958249849e+08 4.1002690030666369e+08 4.0947794595019764e+08 4.0892352969351572e+08 4.0830188885303342e+08 4.0763663081136209e+08 4.0691552151140136e+08 4.0612900790769935e+08 4.0526548106007713e+08 4.0431186350262946e+08 4.0324767993861437e+08 4.0208360396839994e+08 4.0076357445794225e+08 3.9928364094050604e+08 3.9762233564509404e+08 3.9575655525804323e+08 3.9366247480512863e+08 3.9131619618612057e+08 3.8868966469590580e+08 3.8579465820756239e+08 3.8256895442156917e+08 3.7902856215342873e+08 3.7518166953723872e+08 3.7105844784971780e+08 3.6671023074255270e+08 3.6223472557902658e+08 3.5777583390329438e+08 3.5357924440631044e+08 3.4993378341807705e+08 3.4731293111560953e+08 3.4636845988644856e+08 3.4805262700035572e+08 3.5374623544566256e+08 3.6554202960288423e+08 3.8675183896344692e+08 4.2297038350806081e+08 2.3342343926961884e+08 +4.9590196732244411e+00 2.9930453434199303e+08 2.9928035164648426e+08 2.9923976804906851e+08 2.9918954928665406e+08 2.9914606895899189e+08 2.9913264076862091e+08 2.9915873806967133e+08 2.9920738341906786e+08 2.9926261422956461e+08 2.9932275848042649e+08 2.9939150905334133e+08 2.9947078485100698e+08 2.9956211338503760e+08 2.9966767249479967e+08 2.9979015085457188e+08 2.9993255307899040e+08 3.0009856691152799e+08 3.0029271764131802e+08 3.0052036160264683e+08 3.0078773904059923e+08 3.0110214243903053e+08 3.0147207973440093e+08 3.0190816426922321e+08 3.0242830800397038e+08 3.0305857918743205e+08 3.0381451024374700e+08 3.0470655607500219e+08 3.0575335939617199e+08 3.0697957349908668e+08 3.0841385373553449e+08 3.1008880360186028e+08 3.1204121466389912e+08 3.1431227120889074e+08 3.1694763147335714e+08 3.1999731772516018e+08 3.2351525405872214e+08 3.2755840220502859e+08 3.3218525439362425e+08 3.3745355766721696e+08 3.4341690536303431e+08 3.5064997788941121e+08 3.5877295611048973e+08 3.6779049091690278e+08 3.7766237860822839e+08 3.8828870674583405e+08 3.9949577803377753e+08 4.1102632074954802e+08 4.2253872386543179e+08 4.3362089387547690e+08 4.4381827327070081e+08 4.5267555865177435e+08 4.5982235938629979e+08 4.6503179021513599e+08 4.6819435789396477e+08 4.6937523003220230e+08 4.6879703927666533e+08 4.6677162857291126e+08 4.6365872659620374e+08 4.5980304531655514e+08 4.5553200817457074e+08 4.5108720767547280e+08 4.4667886477023774e+08 4.4242793165757549e+08 4.3845147442226255e+08 4.3479281102403808e+08 4.3147549737066174e+08 4.2852468901170337e+08 4.2591980578301430e+08 4.2363148419332135e+08 4.2164915310556901e+08 4.1992301216499668e+08 4.1844288994035178e+08 4.1717496885555315e+08 4.1610334101357293e+08 4.1518700579133540e+08 4.1437754765816349e+08 4.1365767216459525e+08 4.1299946862834305e+08 4.1235804272806048e+08 4.1189755333048916e+08 4.1143044364225847e+08 4.1095290447412741e+08 4.1045238305052596e+08 4.0993593932777876e+08 4.0938711225937963e+08 4.0883280686214858e+08 4.0821130502337533e+08 4.0754619565409851e+08 4.0682524741061991e+08 4.0603890936533391e+08 4.0517557515323406e+08 4.0422217020784593e+08 4.0315822815953726e+08 4.0199439847766793e+08 4.0067466287125337e+08 3.9919505872195894e+08 3.9753412301884753e+08 3.9566875757371187e+08 3.9357514269538444e+08 3.9122938558501005e+08 3.8860344198566973e+08 3.8570906622066522e+08 3.8248407906483650e+08 3.7894447322465426e+08 3.7509843501816237e+08 3.7097612902633065e+08 3.6662887751105332e+08 3.6215436616068566e+08 3.5769646848106360e+08 3.5350079943050915e+08 3.4985614815317905e+08 3.4723587823457050e+08 3.4629162124285716e+08 3.4797541569940680e+08 3.5366776007142675e+08 3.6546093642091900e+08 3.8666604531297129e+08 4.2287653895675063e+08 2.3295789771730718e+08 +4.9639879959986990e+00 3.0035760361583275e+08 3.0033330234197170e+08 3.0029252353967690e+08 3.0024204777596879e+08 3.0019831227237737e+08 3.0018472637589806e+08 3.0021080549258363e+08 3.0025950028653687e+08 3.0031477349235106e+08 3.0037493715447575e+08 3.0044369111755925e+08 3.0052295355711919e+08 3.0061424772796452e+08 3.0071974809184873e+08 3.0084214016102624e+08 3.0098442428284115e+08 3.0115028320224470e+08 3.0134423667449826e+08 3.0157163453634435e+08 3.0183870915818214e+08 3.0215274362886256e+08 3.0252223422339624e+08 3.0295777638049644e+08 3.0347725095261031e+08 3.0410670085648870e+08 3.0486164602051163e+08 3.0575251577841717e+08 3.0679791702154469e+08 3.0802246018412209e+08 3.0945474910010713e+08 3.1112732517082977e+08 3.1307690491855460e+08 3.1534458175520170e+08 3.1797590374458975e+08 3.2102075954309374e+08 3.2453291114018863e+08 3.2856912395042539e+08 3.3318765315657258e+08 3.3844596126363635e+08 3.4439730280464244e+08 3.5161477745076042e+08 3.5971880214357120e+08 3.6871337868273520e+08 3.7855759975527424e+08 3.8915083920587158e+08 4.0031875071588534e+08 4.1180358712610137e+08 4.2326357299378616e+08 4.3428690747010517e+08 4.4441989736449820e+08 4.5320872717898595e+08 4.6028499717644829e+08 4.6542410103138256e+08 4.6851887809618896e+08 4.6963648878451186e+08 4.6900100270404744e+08 4.6692503999430120e+08 4.6376848626431715e+08 4.5987573898371065e+08 4.5557358168099189e+08 4.5110286148718530e+08 4.4667300900385964e+08 4.4240428160458577e+08 4.3841310099196535e+08 4.3474228170890975e+08 4.3141496482508099e+08 4.2845594846528476e+08 4.2584440263236934e+08 4.2355074893802637e+08 4.2156422449122173e+08 4.1983490182815045e+08 4.1835244232330126e+08 4.1708290331387186e+08 4.1601023285834253e+08 4.1509329489405286e+08 4.1428356679756159e+08 4.1356362128650242e+08 4.1290545480371463e+08 4.1226413200370926e+08 4.1180373759367865e+08 4.1133673101592153e+08 4.1085930015815496e+08 4.1035889334502625e+08 4.0984256820780367e+08 4.0929387163203692e+08 4.0873968040254724e+08 4.0811832121508276e+08 4.0745336442402530e+08 4.0673258147134715e+08 4.0594642360307670e+08 4.0508328709742785e+08 4.0413010036543041e+08 4.0306640606569034e+08 4.0190282956334901e+08 4.0058339561585426e+08 3.9910412952926552e+08 3.9744357317970002e+08 3.9557863363864166e+08 3.9348549663980901e+08 3.9114027482529432e+08 3.8851493453455919e+08 3.8562120655606216e+08 3.8239695498733681e+08 3.7885815638098758e+08 3.7501299519221514e+08 3.7089162912785137e+08 3.6654536875954062e+08 3.6207187752566040e+08 3.5761500003168464e+08 3.5342027613780010e+08 3.4977645599543804e+08 3.4715678386222857e+08 3.4621274664027178e+08 3.4789615853600079e+08 3.5358720537115967e+08 3.6537769458176112e+08 3.8657797831440663e+08 4.2278020823015940e+08 2.3249262540387553e+08 +4.9689563187729568e+00 3.0140738835459828e+08 3.0138296940373230e+08 3.0134199243547845e+08 3.0129126060112453e+08 3.0124727052197081e+08 3.0123352690829372e+08 3.0125958750646424e+08 3.0130833107496947e+08 3.0136364595780325e+08 3.0142382825494671e+08 3.0149258473586828e+08 3.0157183280923474e+08 3.0166309147025508e+08 3.0176853176712996e+08 3.0189083602155882e+08 3.0203300027737916e+08 3.0219870223401088e+08 3.0239245605824751e+08 3.0261960502379602e+08 3.0288637355036235e+08 3.0320003524394882e+08 3.0356907461387265e+08 3.0400406906817383e+08 3.0452286813735241e+08 3.0515148908678257e+08 3.0590543915811014e+08 3.0679512199786896e+08 3.0783910845497435e+08 3.0906196581653076e+08 3.1049224606482434e+08 3.1216242812844676e+08 3.1410915306790674e+08 3.1637342295868933e+08 3.1900067519324666e+08 3.2204066428730214e+08 3.2554698958037800e+08 3.2957621963138837e+08 3.3418637208045954e+08 3.3943462448882145e+08 3.4537389234160048e+08 3.5257568876083744e+08 3.6066067202077633e+08 3.6963219605423981e+08 3.7944865211990029e+08 3.9000870373135352e+08 4.0113736030929750e+08 4.1257640540739948e+08 4.2398390643257862e+08 4.3494836290704709e+08 4.4501695307462353e+08 4.5373735451198655e+08 4.6074316030736715e+08 4.6581204099286097e+08 4.6883916265526599e+08 4.6989366986574155e+08 4.6920105919942242e+08 4.6707471848275340e+08 4.6387468238466841e+08 4.5994502829264325e+08 4.5561189644212866e+08 4.5111538714105225e+08 4.4666414043829197e+08 4.4237771958309406e+08 4.3837190290798962e+08 4.3468900281408542e+08 4.3135174679449034e+08 4.2838457669430834e+08 4.2576641377697098e+08 4.2346746580943078e+08 4.2147677900131917e+08 4.1974429964600867e+08 4.1825952268819213e+08 4.1698838113427442e+08 4.1591467970843029e+08 4.1499714775293189e+08 4.1418715633093232e+08 4.1346714599534321e+08 4.1280902089246082e+08 4.1216780513009423e+08 4.1170750844733185e+08 4.1124060773033011e+08 4.1076328798323435e+08 4.1026299871089214e+08 4.0974679518117940e+08 4.0919823229104203e+08 4.0864415852630162e+08 4.0802294562713546e+08 4.0735814530724639e+08 4.0663753186434364e+08 4.0585155877623683e+08 4.0498862503168052e+08 4.0403566209477478e+08 4.0297222175570762e+08 4.0180890529998940e+08 4.0048978074000865e+08 3.9901086138056993e+08 3.9735069411163652e+08 3.9548619140064645e+08 3.9339354454392046e+08 3.9104887176561379e+08 3.8842415014784777e+08 3.8553108696141976e+08 3.8230758987104100e+08 3.7876961923379636e+08 3.7492535759348494e+08 3.7080495560643017e+08 3.6645971185229832e+08 3.6198726694772804e+08 3.5753143573973382e+08 3.5333768162876320e+08 3.4969471397222251e+08 3.4707565497298962e+08 3.4613184303429365e+08 3.4781486249957550e+08 3.5350457844952309e+08 3.6529231142620021e+08 3.8648764573455882e+08 4.2268139982233989e+08 2.3202762562052581e+08 +4.9739246415472147e+00 3.0245387587459749e+08 3.0242934036446208e+08 3.0238816594526076e+08 3.0233718017450303e+08 3.0229293605887985e+08 3.0227903473853564e+08 3.0230507651817977e+08 3.0235386818702877e+08 3.0240922403353822e+08 3.0246942419082868e+08 3.0253818231852740e+08 3.0261741501979494e+08 3.0270863702852315e+08 3.0281401594133151e+08 3.0293623086232466e+08 3.0307827349456364e+08 3.0324381644680363e+08 3.0343736824057472e+08 3.0366426552494353e+08 3.0393072469023633e+08 3.0424400977214205e+08 3.0461259341176528e+08 3.0504703486060929e+08 3.0556515211270154e+08 3.0619293646450239e+08 3.0694588228154850e+08 3.0783436740380764e+08 3.0887692642114455e+08 3.1009808318526620e+08 3.1152633749357176e+08 3.1319410542749435e+08 3.1513795216979980e+08 3.1739878800135607e+08 3.2002193914690381e+08 3.2305702545763630e+08 3.2655748308133221e+08 3.3057968318977976e+08 3.3518140538859743e+08 3.4041954189669299e+08 3.4634666891570580e+08 3.5353270725281888e+08 3.6159856175433153e+08 3.7054693972282583e+08 3.8033553318269360e+08 3.9086229871098471e+08 4.0195160623030561e+08 4.1334477615077871e+08 4.2469972597434062e+08 4.3560526327337492e+08 4.4560944479400057e+08 4.5426144630156350e+08 4.6119685557898617e+08 4.6619561788275653e+08 4.6915522013917601e+08 4.7014678241647428e+08 4.6939721827566189e+08 4.6722067375096619e+08 4.6397732473460138e+08 4.6001092298859501e+08 4.5564696211015564e+08 4.5112479416072500e+08 4.4665226845559853e+08 4.4234825482937795e+08 4.3832788926876521e+08 4.3463298331095058e+08 4.3128585213589907e+08 4.2831058245543015e+08 4.2568584788582581e+08 4.2338164340275425e+08 4.2138682516778475e+08 4.1965121409753281e+08 4.1816413947142792e+08 4.1689141071781188e+08 4.1581668993668616e+08 4.1489857271870399e+08 4.1408832458961022e+08 4.1336825460762852e+08 4.1271017519695818e+08 4.1206907039613032e+08 4.1160887417091274e+08 4.1114208205606830e+08 4.1066487620997834e+08 4.1016470739830291e+08 4.0964862848819965e+08 4.0910020246599066e+08 4.0854624945213854e+08 4.0792518646541840e+08 4.0726054649549186e+08 4.0654010676864177e+08 4.0575432304749984e+08 4.0489159710074121e+08 4.0393886352156103e+08 4.0287568333295631e+08 4.0171263376905781e+08 4.0039382629721928e+08 3.9891526230081064e+08 3.9725549380656821e+08 3.9539143881348866e+08 3.9329929431931639e+08 3.9095518427015001e+08 3.8833109663741034e+08 3.8543871519024444e+08 3.8221599140513742e+08 3.7867886940093464e+08 3.7483552976206779e+08 3.7071611591864979e+08 3.6637191415923709e+08 3.6190054170746297e+08 3.5744578279585117e+08 3.5325302300964743e+08 3.4961092911606872e+08 3.4699249854711986e+08 3.4604891738612556e+08 3.4773153458537918e+08 3.5341988641565394e+08 3.6520479430047959e+08 3.8639505534627831e+08 4.2258012223348767e+08 2.3156290163926250e+08 +4.9788929643214725e+00 3.0349706219043911e+08 3.0347240759387630e+08 3.0343103919574332e+08 3.0337979829749984e+08 3.0333530121041685e+08 3.0332124232878292e+08 3.0334726501390707e+08 3.0339610411065096e+08 3.0345150021226311e+08 3.0351171745576638e+08 3.0358047636131454e+08 3.0365969268676722e+08 3.0375087690449089e+08 3.0385619312101775e+08 3.0397831719483060e+08 3.0412023645265210e+08 3.0428561836608279e+08 3.0447896575678211e+08 3.0470560858511984e+08 3.0497175513632184e+08 3.0528465978779286e+08 3.0565278321005911e+08 3.0608666637182176e+08 3.0660409551922101e+08 3.0723103566266268e+08 3.0798296810218775e+08 3.0887024475293273e+08 3.0991136373113179e+08 3.1113080516515839e+08 3.1255701633635259e+08 3.1422235010788697e+08 3.1616329536908787e+08 3.1842067015168440e+08 3.2103968902124286e+08 3.2406983664187384e+08 3.2756438543468148e+08 3.3157950865619230e+08 3.3617274739314973e+08 3.4140070813098991e+08 3.4731562755884534e+08 3.5448582844978637e+08 3.6253246744688034e+08 3.7145760646952009e+08 3.8121824051406205e+08 3.9171162262113994e+08 4.0276148798230863e+08 4.1410869999842983e+08 4.2541103349319738e+08 4.3625761173419517e+08 4.4619737698774678e+08 4.5478100826454532e+08 4.6164608984791929e+08 4.6657483953587115e+08 4.6946705916035271e+08 4.7039583561569101e+08 4.6958948947698718e+08 4.6736291553688109e+08 4.6407642311222845e+08 4.6007343283489245e+08 4.5567878835282278e+08 4.5113109208447617e+08 4.4663740244943649e+08 4.4231589659149128e+08 4.3828106918317008e+08 4.3457423218023717e+08 4.3121728971446800e+08 4.2823397451229841e+08 4.2560271363499427e+08 4.2329329031901217e+08 4.2129437152897662e+08 4.1955565366810775e+08 4.1806630111442029e+08 4.1679200047114933e+08 4.1571627192209989e+08 4.1479757814744228e+08 4.1398707991149896e+08 4.1326695544542384e+08 4.1260892602550119e+08 4.1196793609772217e+08 4.1150784305066091e+08 4.1104116226981437e+08 4.1056407310524285e+08 4.1006402766496712e+08 4.0954807637506217e+08 4.0899979039254814e+08 4.0844596140351260e+08 4.0782505194210523e+08 4.0716057618791008e+08 4.0644031436746746e+08 4.0565472458476108e+08 4.0479221145483792e+08 4.0383971277718437e+08 4.0277679890854234e+08 4.0161402305614400e+08 4.0029554034833890e+08 3.9881734032034647e+08 3.9715798026138359e+08 3.9529438383618444e+08 3.9320275388330221e+08 3.9085922020900631e+08 3.8823578182052112e+08 3.8534409900129348e+08 3.8212216728345335e+08 3.7858591450530916e+08 3.7474351924390060e+08 3.7062511752786726e+08 3.6628198305533123e+08 3.6181170908977759e+08 3.5735804839571005e+08 3.5316630739091039e+08 3.4952510846511889e+08 3.4690732156984866e+08 3.4596397666230434e+08 3.4764618179328978e+08 3.5333313638417888e+08 3.6511515055673772e+08 3.8630021492789143e+08 4.2247638397063446e+08 2.3109845671293801e+08 +4.9838612870957304e+00 3.0453693787767893e+08 3.0451216523839790e+08 3.0447060333003271e+08 3.0441910772724634e+08 3.0437435851253408e+08 3.0436014223750496e+08 3.0438614556127363e+08 3.0443503141959590e+08 3.0449046707223415e+08 3.0455070063020879e+08 3.0461945944557375e+08 3.0469865839427888e+08 3.0478980368552631e+08 3.0489505589788407e+08 3.0501708761620653e+08 3.0515888175500381e+08 3.0532410060295099e+08 3.0551724122693306e+08 3.0574362683597177e+08 3.0600945753269923e+08 3.0632197795051301e+08 3.0668963668652189e+08 3.0712295630204856e+08 3.0763969108381110e+08 3.0826577943973792e+08 3.0901668941706890e+08 3.0990274688903481e+08 3.1094241328231943e+08 3.1216012471744734e+08 3.1358427563109320e+08 3.1524715529599029e+08 3.1718517589773840e+08 3.1943906276628959e+08 3.2205391831896484e+08 3.2507909151613986e+08 3.2856769051990378e+08 3.3257569014973146e+08 3.3716039249548960e+08 3.4237811792375648e+08 3.4828076339274317e+08 3.5543504796421862e+08 3.6346238529065824e+08 3.7236419316525626e+08 3.8209677177333742e+08 3.9255667402765536e+08 4.0356700515565670e+08 4.1486817767734444e+08 4.2611783094403601e+08 4.3690541153059781e+08 4.4678075419260776e+08 4.5529604618265527e+08 4.6209087003004915e+08 4.6694971383686876e+08 4.6977468837449431e+08 4.7064083867791396e+08 4.6977788237879694e+08 4.6750145360514206e+08 4.6417198733788764e+08 4.6013256761387187e+08 4.5570738485350853e+08 4.5113429046368068e+08 4.4661955182548743e+08 4.4228065412834990e+08 4.3823145176911920e+08 4.3451275841081375e+08 4.3114606840349823e+08 4.2815476163633519e+08 4.2551701970889497e+08 4.2320241516696328e+08 4.2119942662939912e+08 4.1945762685004008e+08 4.1796601606661212e+08 4.1669015880823016e+08 4.1561343404998869e+08 4.1469417240238249e+08 4.1388343064093691e+08 4.1316325683681524e+08 4.1250528169299728e+08 4.1186441053585541e+08 4.1140442337851614e+08 4.1093785665408897e+08 4.1046088694273406e+08 4.0996096777336663e+08 4.0944514709482259e+08 4.0889700431196225e+08 4.0834330261166638e+08 4.0772255027451020e+08 4.0705824258863884e+08 4.0633816285083991e+08 4.0555277156219625e+08 4.0469047625123972e+08 4.0373821799910378e+08 4.0267557659818506e+08 4.0151308125455946e+08 4.0019493095931703e+08 3.9871710347534645e+08 3.9705816147911036e+08 3.9519503443443954e+08 3.9310393115939832e+08 3.9076098745844549e+08 3.8813821352059478e+08 3.8524724615981245e+08 3.8202612520627016e+08 3.7849076217516738e+08 3.7464933359006929e+08 3.7053196790222609e+08 3.6618992592177242e+08 3.6172077638548452e+08 3.5726823974016666e+08 3.5307754188979495e+08 3.4943725906252313e+08 3.4682013103116143e+08 3.4587702783383060e+08 3.4755881112853056e+08 3.5324433547482634e+08 3.6502338755190802e+08 3.8620313226345384e+08 4.2237019354719496e+08 2.3063429407529950e+08 +4.9888296098699882e+00 3.0557349536834085e+08 3.0554860511978304e+08 3.0550685099580878e+08 3.0545510158192998e+08 3.0541010060656679e+08 3.0539572712391245e+08 3.0542171081098998e+08 3.0547064277185494e+08 3.0552611727629828e+08 3.0558636637883419e+08 3.0565512423754609e+08 3.0573430481117940e+08 3.0582541004477054e+08 3.0593059694967431e+08 3.0605253480878937e+08 3.0619420209091640e+08 3.0635925585456812e+08 3.0655218735715598e+08 3.0677831299430013e+08 3.0704382460951614e+08 3.0735595700567204e+08 3.0772314660525018e+08 3.0815589743703943e+08 3.0867193161782926e+08 3.0929716064003706e+08 3.1004703910956389e+08 3.1093186674101967e+08 3.1197006805854267e+08 3.1318603489067841e+08 3.1460810850133520e+08 3.1626851420556831e+08 3.1820358707507133e+08 3.2045395928878361e+08 3.2306462063066614e+08 3.2608478384336746e+08 3.2956739230441499e+08 3.3356822187846518e+08 3.3814433518544734e+08 3.4335176609736592e+08 3.4924207162770712e+08 3.5638036149932152e+08 3.6438831156714606e+08 3.7326669677068609e+08 3.8297112470962393e+08 3.9339745158421230e+08 4.0436815742727602e+08 4.1562320999842685e+08 4.2682012036276406e+08 4.3754866597994453e+08 4.4735958101620227e+08 4.5580656590169984e+08 4.6253120309808946e+08 4.6732024872194928e+08 4.7007811648063195e+08 4.7088180085561556e+08 4.6996240658662760e+08 4.6763629774514550e+08 4.6426402725368643e+08 4.6018833712526351e+08 4.5573276131128913e+08 4.5113439886334497e+08 4.4659872600104636e+08 4.4224253670861310e+08 4.3817904615458614e+08 4.3444857100061649e+08 4.3107219708416754e+08 4.2807295260671490e+08 4.2542877479736036e+08 4.2310902656096375e+08 4.2110199902121156e+08 4.1935714214146370e+08 4.1786329278242600e+08 4.1658589414837629e+08 4.1550818471132994e+08 4.1458836385174280e+08 4.1377738512741125e+08 4.1305716711612296e+08 4.1239925051946098e+08 4.1175850201773739e+08 4.1129862345255303e+08 4.1083217349756801e+08 4.1035532600064766e+08 4.0985553599212915e+08 4.0933984890565944e+08 4.0879185247201401e+08 4.0823828131196725e+08 4.0761768968633926e+08 4.0695355390793663e+08 4.0623366041476554e+08 4.0544847215932965e+08 4.0458639965206337e+08 4.0363438733076662e+08 4.0257202452364373e+08 4.0140981646256667e+08 4.0009200620204526e+08 3.9861455980764896e+08 3.9695604546794903e+08 3.9509339857929915e+08 3.9300283407595855e+08 3.9066049389965236e+08 3.8803839956610358e+08 3.8514816443610466e+08 3.8192787287853903e+08 3.7839342004513365e+08 3.7455298035713071e+08 3.7043667451457745e+08 3.6609575014449507e+08 3.6162775089038640e+08 3.5717636403525347e+08 3.5298673362740976e+08 3.4934738795558077e+08 3.4673093392681253e+08 3.4578807787667674e+08 3.4746942960147923e+08 3.5315349081224644e+08 3.6492951264854527e+08 3.8610381514275086e+08 4.2226155948131591e+08 2.3017041694103593e+08 +4.9937979326442461e+00 3.0660672596002406e+08 3.0658171983388233e+08 3.0653977132746947e+08 3.0648777251953799e+08 3.0644252009980357e+08 3.0642798975305003e+08 3.0645395350116974e+08 3.0650293091199762e+08 3.0655844357196641e+08 3.0661870745202929e+08 3.0668746348873794e+08 3.0676662469240922e+08 3.0685768874014044e+08 3.0696280903872919e+08 3.0708465154091507e+08 3.0722619023437047e+08 3.0739107690265501e+08 3.0758379693840259e+08 3.0780965986212981e+08 3.0807484918214637e+08 3.0838658978442240e+08 3.0875330581527895e+08 3.0918548264799273e+08 3.0970081002004141e+08 3.1032517219413453e+08 3.1107401014916253e+08 3.1195759732455093e+08 3.1299432112938410e+08 3.1420852881835407e+08 3.1562850815706760e+08 3.1728642013585675e+08 3.1921852230650514e+08 3.2146535324953884e+08 3.2407178963383758e+08 3.2708690747493440e+08 3.3056348484331614e+08 3.3455709813717884e+08 3.3912457004147589e+08 3.4432164756180423e+08 3.5019954756377083e+08 3.5732176484630299e+08 3.6531024264803869e+08 3.7416511433525282e+08 3.8384129715994924e+08 3.9423395403243214e+08 4.0516494456015617e+08 4.1637379785601318e+08 4.2751790386632955e+08 4.3818737847636825e+08 4.4793386213621449e+08 4.5631257333259833e+08 4.6296709608218813e+08 4.6768645217665279e+08 4.7037735222066081e+08 4.7111873143570852e+08 4.7014307173607647e+08 4.6776745777228934e+08 4.6435255272170287e+08 4.6024075118677670e+08 4.5575492743976581e+08 4.5113142686110228e+08 4.4657493440460330e+08 4.4220155361093277e+08 4.3812386147600597e+08 4.3438167895608926e+08 4.3099568464584458e+08 4.2798855620967406e+08 4.2533798759831595e+08 4.2301313312268418e+08 4.2100209726154774e+08 4.1925420804697663e+08 4.1775813972243172e+08 4.1647921491623962e+08 4.1540053230348182e+08 4.1448016086931622e+08 4.1366895172671336e+08 4.1294869462323147e+08 4.1229084083092767e+08 4.1165021885621339e+08 4.1119045157557875e+08 4.1072412109388679e+08 4.1024739856341022e+08 4.0974774059565878e+08 4.0923219007136619e+08 4.0868434312472194e+08 4.0813090574617803e+08 4.0751047840676236e+08 4.0684651836144245e+08 4.0612681525983453e+08 4.0534183456175441e+08 4.0447998982522976e+08 4.0352822892058682e+08 4.0246615081209368e+08 4.0130423678387678e+08 3.9998677415304863e+08 3.9850971736452317e+08 3.9685164024198353e+08 3.9498948424652570e+08 3.9289947056696141e+08 3.9055774741963637e+08 3.8793634779064810e+08 3.8504686160511899e+08 3.8182741801101869e+08 3.7829389575397205e+08 3.7445446710649246e+08 3.7033924484437072e+08 3.6599946311371404e+08 3.6153263990499347e+08 3.5708242849147075e+08 3.5289388972947431e+08 3.4925550219756240e+08 3.4663973725625461e+08 3.4569713377209514e+08 3.4737804422650737e+08 3.5306060952650326e+08 3.6483353321406871e+08 3.8600227136032599e+08 4.2215049029857498e+08 2.2970682850582406e+08 +4.9987662554185039e+00 3.0763662638892007e+08 3.0761150636705351e+08 3.0756936327712899e+08 3.0751711378745395e+08 3.0747160965235794e+08 3.0745692298987949e+08 3.0748286645487845e+08 3.0753188866814077e+08 3.0758743879132986e+08 3.0764771668421143e+08 3.0771647003505439e+08 3.0779561087695926e+08 3.0788663261461729e+08 3.0799168501275784e+08 3.0811343066524357e+08 3.0825483904487145e+08 3.0841955661428005e+08 3.0861206284732944e+08 3.0883766032666022e+08 3.0910252415053195e+08 3.0941386920255750e+08 3.0978010725149596e+08 3.1021170489192683e+08 3.1072631927292293e+08 3.1134980711726516e+08 3.1209759559002733e+08 3.1297993173973995e+08 3.1401516565058190e+08 3.1522759972102457e+08 3.1664546789433181e+08 3.1830086647323465e+08 3.2022997508395141e+08 3.2247323826574695e+08 3.2507541909308070e+08 3.2808545634912139e+08 3.3155596227944010e+08 3.3554231331011069e+08 3.4010109173016888e+08 3.4528775731639999e+08 3.5115318658907908e+08 3.5825925388602674e+08 3.6622817499323928e+08 3.7505944299775398e+08 3.8470728704985017e+08 3.9506618020023906e+08 4.0595736640291476e+08 4.1711994222805905e+08 4.2821118365016621e+08 4.3882155248862922e+08 4.4850360230100787e+08 4.5681407444885635e+08 4.6339855606991404e+08 4.6804833223553342e+08 4.7067240437834132e+08 4.7135163974240291e+08 4.7031988749313062e+08 4.6789494352584457e+08 4.6443757362583965e+08 4.6028981963348579e+08 4.5577389296742582e+08 4.5112538404744130e+08 4.4654818647667992e+08 4.4215771412490255e+08 4.3806590687954825e+08 4.3431209129118854e+08 4.3091653998487151e+08 4.2790158123887902e+08 4.2524466681557804e+08 4.2291474348061258e+08 4.2089972991459966e+08 4.1914883307691061e+08 4.1765056535310668e+08 4.1637012954300159e+08 4.1529048522836220e+08 4.1436957183524913e+08 4.1355813879960006e+08 4.1283784770324755e+08 4.1218006095841724e+08 4.1153956936962277e+08 4.1107991605716658e+08 4.1061370774245018e+08 4.1013711292058903e+08 4.0963758986354637e+08 4.0912217886109358e+08 4.0857448452880383e+08 4.0802118416144764e+08 4.0740092466998100e+08 4.0673714417014122e+08 4.0601763559262335e+08 4.0523286696006817e+08 4.0437125494399077e+08 4.0341975092293322e+08 4.0235796359606618e+08 4.0119635032697064e+08 3.9987924289549589e+08 3.9840258419892418e+08 3.9674495381966734e+08 3.9488329941777390e+08 3.9279384857198328e+08 3.9045275591013253e+08 3.8783206603334689e+08 3.8494334544774699e+08 3.8172476831886744e+08 3.7819219694560409e+08 3.7435380140453702e+08 3.7023968637426668e+08 3.6590107222551191e+08 3.6143545073458385e+08 3.5698644032464981e+08 3.5279901732773566e+08 3.4916160884569019e+08 3.4654654802392268e+08 3.4560420250531828e+08 3.4728466202322257e+08 3.5296569875131631e+08 3.6473545662004560e+08 3.8589850871620309e+08 4.2203699452830142e+08 2.2924353194637540e+08 +5.0037345781927618e+00 3.0866319057426959e+08 3.0863795422965640e+08 3.0859561598244715e+08 3.0854311721143091e+08 3.0849736219653434e+08 3.0848251977649945e+08 3.0850844258237749e+08 3.0855750895369887e+08 3.0861309585045683e+08 3.0867338699488205e+08 3.0874213679774648e+08 3.0882125628953654e+08 3.0891223459672058e+08 3.0901721780473906e+08 3.0913886511961412e+08 3.0928014146703559e+08 3.0944468794172215e+08 3.0963697804483008e+08 3.0986230736075979e+08 3.1012684250093770e+08 3.1043778826144123e+08 3.1080354393345928e+08 3.1123455721006715e+08 3.1174845244590390e+08 3.1237105851073885e+08 3.1311778857214928e+08 3.1399886317336315e+08 3.1503259486291635e+08 3.1624324090399754e+08 3.1765898109550220e+08 3.1931184668969864e+08 3.2123793898586702e+08 3.2347760804076868e+08 3.2607550285972899e+08 3.2908042449071574e+08 3.3254481884284055e+08 3.3652386186766297e+08 3.4107389500586462e+08 3.4625009044774473e+08 3.5210298418057740e+08 3.5919282458755863e+08 3.6714210515180302e+08 3.7594967998509169e+08 3.8556909239330018e+08 3.9589412900373101e+08 4.0674542288915700e+08 4.1786164417555332e+08 4.2889996199046379e+08 4.3945119156138694e+08 4.4906880632818902e+08 4.5731107528878331e+08 4.6382559020430356e+08 4.6840589698294127e+08 4.7096328177994525e+08 4.7158053513433915e+08 4.7049286355278558e+08 4.6801876486980134e+08 4.6451909986909610e+08 4.6033555231661755e+08 4.5578966763802344e+08 4.5111628002531224e+08 4.4651849166751271e+08 4.4211102754850364e+08 4.3800519151942915e+08 4.3423981702773088e+08 4.3083477200504100e+08 4.2781203649410206e+08 4.2514882115999806e+08 4.2281386626798844e+08 4.2079490554952097e+08 4.1904102574678755e+08 4.1754057814626372e+08 4.1625864646479100e+08 4.1517805189354712e+08 4.1425660513430381e+08 4.1344495471211785e+08 4.1272463470620221e+08 4.1206691923865867e+08 4.1142656188068533e+08 4.1096702521072197e+08 4.1050094174791467e+08 4.1002447736762601e+08 4.0952509208072042e+08 4.0900982354928476e+08 4.0846228494766253e+08 4.0790912480985451e+08 4.0728903671588182e+08 4.0662543956017208e+08 4.0590612962479210e+08 4.0512157754973871e+08 4.0426020318646711e+08 4.0330896149643028e+08 4.0224747101349318e+08 4.0108616520677549e+08 3.9976942051593000e+08 3.9829316836769807e+08 3.9663599422559416e+08 3.9477485207953107e+08 3.9268597603486651e+08 3.9034552726779389e+08 3.8772556213773239e+08 3.8483762374914753e+08 3.8161993152220368e+08 3.7808833126900911e+08 3.7425099082292497e+08 3.7013800659195584e+08 3.6580058487999898e+08 3.6133619068940860e+08 3.5688840675455189e+08 3.5270212355633521e+08 3.4906571496153504e+08 3.4645137323869699e+08 3.4550929106621039e+08 3.4718929001526552e+08 3.5286876562547600e+08 3.6463529024378747e+08 3.8579253501478106e+08 4.2192108070657820e+08 2.2878053042048356e+08 +5.0087029009670196e+00 3.0968640360942924e+08 3.0966105396269661e+08 3.0961852490205938e+08 3.0956577541559893e+08 3.0951977096459866e+08 3.0950477310691023e+08 3.0953067487780541e+08 3.0957978476633114e+08 3.0963540775010419e+08 3.0969571138759255e+08 3.0976445678221768e+08 3.0984355393861705e+08 3.0993448769841033e+08 3.1003940043139935e+08 3.1016094792666560e+08 3.1030209052947104e+08 3.1046646392169011e+08 3.1065853557726997e+08 3.1088359402114278e+08 3.1114779730317104e+08 3.1145834004688787e+08 3.1182360896549881e+08 3.1225403272948134e+08 3.1276720269145894e+08 3.1338891956058776e+08 3.1413458232107764e+08 3.1501438489679497e+08 3.1604660209284204e+08 3.1725544575869119e+08 3.1866904122835910e+08 3.2031935434361577e+08 3.2224240767665517e+08 3.2447845636508757e+08 3.2707203487137830e+08 3.3007180601252717e+08 3.3353004885112059e+08 3.3750173836925220e+08 3.4204297471115345e+08 3.4720864213148290e+08 3.5304893590417165e+08 3.6012247300908095e+08 3.6805202976128751e+08 3.7683582261248720e+08 3.8642671129157597e+08 3.9671779944501919e+08 4.0752911403803176e+08 4.1859890484131956e+08 4.2958424124176365e+08 4.4007629931318897e+08 4.4962947910426939e+08 4.5780358195173067e+08 4.6424820568393099e+08 4.6875915455152750e+08 4.7124999329251307e+08 4.7180542700479555e+08 4.7066200963895994e+08 4.6813893169227952e+08 4.6459714137519830e+08 4.6037795910561663e+08 4.5580226120821857e+08 4.5110412441004956e+08 4.4648585943877786e+08 4.4206150318961531e+08 4.3794172455830491e+08 4.3416486519663417e+08 4.3075038961751783e+08 4.2771993078208214e+08 4.2505045934788179e+08 4.2271051012499082e+08 4.2068763274166256e+08 4.1893079457848543e+08 4.1742818657907546e+08 4.1614477412271196e+08 4.1506324071254009e+08 4.1414126915628916e+08 4.1332940783556187e+08 4.1260906398784667e+08 4.1195142401329339e+08 4.1131120471798515e+08 4.1085178735539496e+08 4.1038583141953814e+08 4.0990950020379710e+08 4.0941025553683096e+08 4.0889513241499889e+08 4.0834775264902914e+08 4.0779473594821566e+08 4.0717482278834653e+08 4.0651141276190603e+08 4.0579230557302934e+08 4.0500797453119528e+08 4.0414684273597199e+08 4.0319586880498588e+08 4.0213468120643622e+08 4.0097368954129571e+08 3.9965731510695618e+08 3.9818147793395448e+08 3.9652476948838484e+08 3.9466415022269768e+08 3.9257586090429914e+08 3.9023606939448041e+08 3.8761684395287365e+08 3.8472970429899222e+08 3.8151291534626502e+08 3.7798230637726068e+08 3.7414604293694746e+08 3.7003421299061787e+08 3.6569800848192149e+08 3.6123486708301347e+08 3.5678833500571799e+08 3.5260321555541521e+08 3.4896782761098874e+08 3.4635421991343826e+08 3.4541240644847184e+08 3.4709193523075783e+08 3.5276981729178488e+08 3.6453304146562690e+08 3.8568435806577212e+08 4.2180275737368774e+08 2.2831782706707117e+08 +5.0136712237412775e+00 3.1070626367817235e+08 3.1068080005313641e+08 3.1063808210066950e+08 3.1058508185116065e+08 3.1053882925232691e+08 3.1052367601949263e+08 3.1054955641864210e+08 3.1059870918944740e+08 3.1065436757391798e+08 3.1071468295015830e+08 3.1078342307817978e+08 3.1086249691850036e+08 3.1095338501731896e+08 3.1105822599482363e+08 3.1117967219342923e+08 3.1132067934584886e+08 3.1148487767565346e+08 3.1167672857539386e+08 3.1190151344969559e+08 3.1216538171229786e+08 3.1247551772974974e+08 3.1284029553767586e+08 3.1327012466193736e+08 3.1378256324853826e+08 3.1440338353759056e+08 3.1514797014673704e+08 3.1602649026730210e+08 3.1705718075219840e+08 3.1826420776155794e+08 3.1967564184588659e+08 3.2132338307833588e+08 3.2324337490691483e+08 3.2547577711418641e+08 3.2806500915252131e+08 3.3105959511270297e+08 3.3451164670772147e+08 3.3847593746014327e+08 3.4300832577518213e+08 3.4816340763040519e+08 3.5399103741249406e+08 3.6104819529618901e+08 3.6895794554680598e+08 3.7771786828331578e+08 3.8728014193307000e+08 3.9753719061240494e+08 4.0830843995317858e+08 4.1933172545103812e+08 4.3026402383773345e+08 4.4069687943723190e+08 4.5018562558562112e+08 4.5829160060069078e+08 4.6466640976404732e+08 4.6910811312208039e+08 4.7153254782560319e+08 4.7202632478260261e+08 4.7082733550477892e+08 4.6825545390508890e+08 4.6467170808748150e+08 4.6041704988544446e+08 4.5581168344911712e+08 4.5108892682855380e+08 4.4645029926168466e+08 4.4200915036618841e+08 4.3787551516765112e+08 4.3408724483440638e+08 4.3066340173984998e+08 4.2762527291612333e+08 4.2494959010211670e+08 4.2260468369681287e+08 4.2057792007178634e+08 4.1881814809791857e+08 4.1731339913415396e+08 4.1602852096359068e+08 4.1494606010221952e+08 4.1402357229637885e+08 4.1321150654609734e+08 4.1249114390844852e+08 4.1183358362828529e+08 4.1119350621477818e+08 4.1073421081490850e+08 4.1026838507186621e+08 4.0979218973400235e+08 4.0929308852613580e+08 4.0877811374259990e+08 4.0823089590634567e+08 4.0767802583809006e+08 4.0705829113706845e+08 4.0639507201211745e+08 4.0567617165822691e+08 4.0489206611046302e+08 4.0403118178070295e+08 4.0308048101756173e+08 4.0201960232215643e+08 4.0085893145471662e+08 3.9954293476574332e+08 3.9806752096456701e+08 3.9641128764159101e+08 3.9455120184300381e+08 3.9246351113430524e+08 3.9012439019605225e+08 3.8750591933122212e+08 3.8461959489235246e+08 3.8140372752007848e+08 3.7787412992851567e+08 3.7403896532681429e+08 3.6992831306656754e+08 3.6559335044002384e+08 3.6113148723474872e+08 3.5668623230613917e+08 3.5250230046865630e+08 3.4886795386387539e+08 3.4625509506531793e+08 3.4531355565018785e+08 3.4699260470153725e+08 3.5266886089717144e+08 3.6442871767169625e+08 3.8557398568308359e+08 4.2168203307555258e+08 2.2785542500623685e+08 +5.0186395465155353e+00 3.1172277003416187e+08 3.1169718908093292e+08 3.1165428028206688e+08 3.1160103036633706e+08 3.1155453022672224e+08 3.1153922162157631e+08 3.1156508036582738e+08 3.1161427539109188e+08 3.1166996849096179e+08 3.1173029485473049e+08 3.1179902886032289e+08 3.1187807840662533e+08 3.1196891973467982e+08 3.1207368768105990e+08 3.1219503111136019e+08 3.1233590111455148e+08 3.1249992240945244e+08 3.1269155025425941e+08 3.1291605887257147e+08 3.1317958896823150e+08 3.1348931456539482e+08 3.1385359692350179e+08 3.1428282630361736e+08 3.1479452744030219e+08 3.1541444379795378e+08 3.1615794544411916e+08 3.1703517272614223e+08 3.1806432433801103e+08 3.1926952047514611e+08 3.2067877658704859e+08 3.2232392662308794e+08 3.2424083451253867e+08 3.2646956425046265e+08 3.2905441981338501e+08 3.3204378607640439e+08 3.3548960690374410e+08 3.3944645387285084e+08 3.4396994321540266e+08 3.4911438229469353e+08 3.5492928444628507e+08 3.6196998768276811e+08 3.6985984932231718e+08 3.7859581448815751e+08 3.8812938259343028e+08 3.9835230168035561e+08 4.0908340082200390e+08 4.2006010731116933e+08 4.3093931228949618e+08 4.4131293570025003e+08 4.5073725079534298e+08 4.5877513745995200e+08 4.6508020975336558e+08 4.6945278092243099e+08 4.7181095432726109e+08 4.7224323792921609e+08 4.7098885093061280e+08 4.6836834144339800e+08 4.6474280996852970e+08 4.6045283455709743e+08 4.5581794414567846e+08 4.5107069691932833e+08 4.4641182061849278e+08 4.4195397840326566e+08 4.3780657252612305e+08 4.3400696498586863e+08 4.3057381729635710e+08 4.2752807171489084e+08 4.2484622215084475e+08 4.2249639563462198e+08 4.2046577612542379e+08 4.1870309483681363e+08 4.1719622429789168e+08 4.1590989543801934e+08 4.1482651848549682e+08 4.1390352295350826e+08 4.1309125922417140e+08 4.1237088283236915e+08 4.1171340643454957e+08 4.1107347470867079e+08 4.1061430391758597e+08 4.1014861102390403e+08 4.0967255426711452e+08 4.0917359934812647e+08 4.0865877582086563e+08 4.0811172299701726e+08 4.0755900274617666e+08 4.0693945001558256e+08 4.0627642555066144e+08 4.0555773610602283e+08 4.0477386049643892e+08 4.0391322851225555e+08 4.0296280630680662e+08 4.0190224251238894e+08 4.0074189907491046e+08 3.9942628759353483e+08 3.9795130553016645e+08 3.9629555672297639e+08 3.9443601494096386e+08 3.9234893468236077e+08 3.9001049758266675e+08 3.8739279613059342e+08 3.8450730332765770e+08 3.8129237577708101e+08 3.7776380958463007e+08 3.7392976557669920e+08 3.6982031432066792e+08 3.6548661816733408e+08 3.6102605846689832e+08 3.5658210588837475e+08 3.5239938544303334e+08 3.4876610079427993e+08 3.4615400571493518e+08 3.4521274567326367e+08 3.4689130546319568e+08 3.5256590359292102e+08 3.6432232625061542e+08 3.8546142568436891e+08 4.2155891636194813e+08 2.2739332733930278e+08 +5.0236078692897932e+00 3.1273590375458175e+08 3.1271020966998351e+08 3.1266711257027459e+08 3.1261361440048718e+08 3.1256686700338310e+08 3.1255140312484276e+08 3.1257723996537340e+08 3.1262647662490612e+08 3.1268220375309837e+08 3.1274254035667562e+08 3.1281126738628787e+08 3.1289029166540998e+08 3.1298108511638701e+08 3.1308577876065075e+08 3.1320701795625556e+08 3.1334774911758095e+08 3.1351159141338319e+08 3.1370299391318917e+08 3.1392722360058302e+08 3.1419041239401072e+08 3.1449972389349300e+08 3.1486350648146671e+08 3.1529213103491926e+08 3.1580308867386138e+08 3.1642209378163487e+08 3.1716450169330353e+08 3.1804042579955208e+08 3.1906802643147755e+08 3.2027137754567862e+08 3.2167843917532402e+08 3.2332097879256898e+08 3.2523478041512251e+08 3.2745981182131881e+08 3.3004026105006081e+08 3.3302437327495641e+08 3.3646392401648051e+08 3.4041328242695963e+08 3.4492782213520890e+08 3.5006156156231689e+08 3.5586367283408874e+08 3.6288784649015832e+08 3.7075773798789257e+08 3.7946965880496973e+08 3.8897443163504940e+08 3.9916313190865725e+08 4.0985399691585070e+08 4.2078405180984962e+08 4.3161010918674618e+08 4.4192447194190556e+08 4.5128435982483196e+08 4.5925419881537801e+08 4.6548961301597142e+08 4.6979316622896075e+08 4.7208522178735071e+08 4.7245617594097102e+08 4.7114656572564143e+08 4.6847760426560336e+08 4.6481045699989593e+08 4.6048532303814101e+08 4.5582105309593153e+08 4.5104944433275110e+08 4.4637043300088304e+08 4.4189599663635015e+08 4.3773490582064289e+08 4.3392403470293140e+08 4.3048164521808279e+08 4.2742833600419921e+08 4.2474036422838378e+08 4.2238565459444875e+08 4.2035120949377382e+08 4.1858564333218992e+08 4.1707667056257957e+08 4.1578890600195694e+08 4.1470462428975141e+08 4.1378112953244483e+08 4.1296867425491500e+08 4.1224828912922412e+08 4.1159090078750885e+08 4.1095111854175305e+08 4.1049207499606526e+08 4.1002651759833908e+08 4.0955060211729938e+08 4.0905179630589890e+08 4.0853712694269288e+08 4.0799024220327508e+08 4.0743767494280863e+08 4.0681830768184566e+08 4.0615548162199575e+08 4.0543700714664429e+08 4.0465336590408748e+08 4.0379299112815183e+08 4.0284285285071313e+08 4.0178260993303239e+08 4.0062260053426731e+08 3.9930738169592196e+08 3.9783283970739865e+08 3.9617758477474421e+08 3.9431859752069443e+08 3.9223213951030582e+08 3.8989439946937877e+08 3.8727748221215373e+08 3.8439283740790349e+08 3.8117886785580736e+08 3.7765135301176381e+08 3.7381845127484304e+08 3.6971022425809830e+08 3.6537781908116442e+08 3.6091858810581034e+08 3.5647596298901892e+08 3.5229447763035637e+08 3.4866227547983849e+08 3.4605095888730103e+08 3.4510998352296829e+08 3.4678804455596733e+08 3.5246095253360689e+08 3.6421387459632599e+08 3.8534668589254689e+08 4.2143341578813404e+08 2.2693153714886254e+08 +5.0285761920640510e+00 3.1374566834771162e+08 3.1371985870068228e+08 3.1367657183723986e+08 3.1362282715324044e+08 3.1357583284433192e+08 3.1356021386899620e+08 3.1358602855138689e+08 3.1363530623042768e+08 3.1369106669715124e+08 3.1375141279523510e+08 3.1382013199872780e+08 3.1389913004080433e+08 3.1398987451186383e+08 3.1409449258780861e+08 3.1421562608801889e+08 3.1435621672115099e+08 3.1451987806101060e+08 3.1471105293586248e+08 3.1493500102834976e+08 3.1519784539836258e+08 3.1550673913748074e+08 3.1587001765400553e+08 3.1629803232104105e+08 3.1680824044156241e+08 3.1742632701343721e+08 3.1816763245817870e+08 3.1904224309890562e+08 3.2006828069912571e+08 3.2126977270464575e+08 3.2267462341968679e+08 3.2431453348616117e+08 3.2622520662140614e+08 3.2844651396010429e+08 3.3102252714490640e+08 3.3400135116550672e+08 3.3743459270898277e+08 3.4137641802846539e+08 3.4588195772532934e+08 3.5100494095752138e+08 3.5679419849151087e+08 3.6380176812679774e+08 3.7165160853229821e+08 3.8033939889870101e+08 3.8981528750625390e+08 3.9996968064264321e+08 4.1062022858956748e+08 4.2150356041668814e+08 4.3227641719566250e+08 4.4253149207557976e+08 4.5182695783323193e+08 4.5972879101377255e+08 4.6589462696927470e+08 4.7012927736397934e+08 4.7235535923483580e+08 4.7266514834698945e+08 4.7130048972614825e+08 4.6858325235229760e+08 4.6487465918159860e+08 4.6051452526103300e+08 4.5582102011062747e+08 4.5102517872984791e+08 4.4632614591026860e+08 4.4183521440823299e+08 4.3766052424518907e+08 4.3383846304322267e+08 4.3038689444186074e+08 4.2732607461449635e+08 4.2463202507397211e+08 4.2227246923759931e+08 4.2023422877241397e+08 4.1846580212449193e+08 4.1695474642477715e+08 4.1566556111575818e+08 4.1458038594546914e+08 4.1365640044068575e+08 4.1284376002770787e+08 4.1212337117251933e+08 4.1146607504683274e+08 4.1082644606036997e+08 4.1036753238760144e+08 4.0990211312316948e+08 4.0942634160198396e+08 4.0892768770758319e+08 4.0841317540505010e+08 4.0786646181107867e+08 4.0731405070337170e+08 4.0669487239850450e+08 4.0603224847541606e+08 4.0531399301473695e+08 4.0453059055162692e+08 4.0367047782869244e+08 4.0272062883064443e+08 4.0166071274424630e+08 4.0050104396927589e+08 3.9918622518237734e+08 3.9771213157579482e+08 3.9605737984306031e+08 3.9419895759079260e+08 3.9211313358457458e+08 3.8977610377454227e+08 3.8715998544136542e+08 3.8427620493997377e+08 3.8106321149683899e+08 3.7753676787998044e+08 3.7370503001341099e+08 3.6959805038768190e+08 3.6526696060167027e+08 3.6080908348168933e+08 3.5636781084752733e+08 3.5218758418563408e+08 3.4855648500153077e+08 3.4594596161051530e+08 3.4500527620864195e+08 3.4668282902273154e+08 3.5235401487757111e+08 3.6410337010556471e+08 3.8522977413354623e+08 4.2130553991287071e+08 2.2647005749882793e+08 +5.0335445148383089e+00 3.1475204945182991e+08 3.1472612877168041e+08 3.1468265289967752e+08 3.1462866174268270e+08 3.1458142121753079e+08 3.1456564731494278e+08 3.1459143954575080e+08 3.1464075763251901e+08 3.1469655074343050e+08 3.1475690559374881e+08 3.1482561612349224e+08 3.1490458696268433e+08 3.1499528135506922e+08 3.1509982260033065e+08 3.1522084894986773e+08 3.1536129737542260e+08 3.1552477581058478e+08 3.1571572078941375e+08 3.1593938463412237e+08 3.1620188147268134e+08 3.1651035380556357e+08 3.1687312396800739e+08 3.1730052371087253e+08 3.1780997631920606e+08 3.1842713710216337e+08 3.1916733138726896e+08 3.2004061831935024e+08 3.2106508089158237e+08 3.2226469976831281e+08 3.2366732321314812e+08 3.2530458468855852e+08 3.2721210722304600e+08 3.2942966488480866e+08 3.3200121246470821e+08 3.3497471429102540e+08 3.3840160773095870e+08 3.4233585566891885e+08 3.4683234526282686e+08 3.5194451609157950e+08 3.5772085742076683e+08 3.6471174908812219e+08 3.7254145803036916e+08 3.8120503252089196e+08 3.9065194874148715e+08 4.0077194731163412e+08 4.1138209628071970e+08 4.2221863468002504e+08 4.3293823906017548e+08 4.4313400008559322e+08 4.5236505004620230e+08 4.6019892046219397e+08 4.6629525908535683e+08 4.7046112269624484e+08 4.7262137573822349e+08 4.7287016470900178e+08 4.7145063279624885e+08 4.6868529570631868e+08 4.6493542653300482e+08 4.6054045117343265e+08 4.5581785501426709e+08 4.5099790978298157e+08 4.4627896885728502e+08 4.4177164107063603e+08 4.3758343700177932e+08 4.3375025907201803e+08 4.3028957391074950e+08 4.2722129638230205e+08 4.2452121343184954e+08 4.2215684823029244e+08 4.2011484256150234e+08 4.1834357975933200e+08 4.1683046038468218e+08 4.1553986924349117e+08 4.1445381188854861e+08 4.1352934409117156e+08 4.1271652493605131e+08 4.1199613733985573e+08 4.1133893757601023e+08 4.1069946561492610e+08 4.1024068443296659e+08 4.0977540592985260e+08 4.0929978104310691e+08 4.0880128186453480e+08 4.0828692950976121e+08 4.0774039011052084e+08 4.0718813830644089e+08 4.0656915243201756e+08 4.0590673436373055e+08 4.0518870194836992e+08 4.0440554266141075e+08 4.0354569681899476e+08 4.0259614243179488e+08 4.0153655910984051e+08 4.0037723752008647e+08 3.9906282616736585e+08 3.9758918921925932e+08 3.9593494997813255e+08 3.9407710316372162e+08 3.9199192487538940e+08 3.8965561842075807e+08 3.8704031368780524e+08 3.8415741373432028e+08 3.8094541444594610e+08 3.7742006186238497e+08 3.7358950938827431e+08 3.6948380022121865e+08 3.6515405015351164e+08 3.6069755192805725e+08 3.5625765670803291e+08 3.5207871226701105e+08 3.4844873644405335e+08 3.4583902091572613e+08 3.4489863074272561e+08 3.4657566590975708e+08 3.5224509778677970e+08 3.6399082017925745e+08 3.8511069823745614e+08 4.2117529729976588e+08 2.2600889143447724e+08 +5.0385128376125667e+00 3.1575504647635567e+08 3.1572900942612576e+08 3.1568534808956754e+08 3.1563111137495369e+08 3.1558362567386240e+08 3.1556769701637840e+08 3.1559346645833117e+08 3.1564282434103173e+08 3.1569864939684689e+08 3.1575901225916779e+08 3.1582771327012050e+08 3.1590665594469827e+08 3.1599729916240448e+08 3.1610176232040834e+08 3.1622268006915331e+08 3.1636298461416316e+08 3.1652627820380133e+08 3.1671699102506775e+08 3.1694036798035395e+08 3.1720251419298464e+08 3.1751056148898882e+08 3.1787281903357857e+08 3.1829959883699679e+08 3.1880828996650940e+08 3.1942451774083543e+08 3.2016359221291536e+08 3.2103554524026740e+08 3.2205842084396738e+08 3.2325615263755327e+08 3.2465653253394485e+08 3.2629112646869022e+08 3.2819547639683545e+08 3.3040925889899427e+08 3.3297631146269584e+08 3.3594445727974117e+08 3.3936496391716063e+08 3.4329159042668927e+08 3.4777898011097926e+08 3.5288028266222620e+08 3.5864364571043658e+08 3.6561778595629609e+08 3.7342728364330500e+08 3.8206655750925505e+08 3.9148441396056658e+08 4.0156993143032020e+08 4.1213960050997037e+08 4.2292927622993851e+08 4.3359557759983850e+08 4.4373200002955443e+08 4.5289864175549078e+08 4.6066459362785029e+08 4.6669151688799781e+08 4.7078871064039779e+08 4.7288328040531152e+08 4.7307123462181568e+08 4.7159700482592505e+08 4.6878374435379529e+08 4.6499276909015661e+08 4.6056311073827553e+08 4.5581156764289844e+08 4.5096764717450964e+08 4.4622891136167920e+08 4.4170528598246872e+08 4.3750365329904807e+08 4.3365943186106247e+08 4.3018969257342541e+08 4.2711401014942563e+08 4.2440793805182362e+08 4.2203880024329817e+08 4.1999305946610022e+08 4.1821898478681046e+08 4.1670382094736731e+08 4.1541183885323840e+08 4.1432491055849802e+08 4.1339996889965916e+08 4.1258697737713420e+08 4.1186659601237655e+08 4.1120949674244523e+08 4.1057018555948871e+08 4.1011153947696787e+08 4.0964640435369492e+08 4.0917092876650584e+08 4.0867258709261030e+08 4.0815839756122679e+08 4.0761203539565343e+08 4.0705994603468961e+08 4.0644115605189776e+08 4.0577894754317033e+08 4.0506114218902791e+08 4.0427823045895708e+08 4.0341865630780733e+08 4.0246940184413058e+08 4.0141015719779682e+08 4.0025118933134067e+08 3.9893719276749253e+08 3.9746402072491688e+08 3.9581030323350179e+08 3.9395304225523418e+08 3.9186852135560799e+08 3.8953295133418709e+08 3.8691847482442456e+08 3.8403647160544103e+08 3.8082548445192921e+08 3.7730124263673651e+08 3.7347189699867386e+08 3.6936748127478516e+08 3.6503909516426539e+08 3.6058400078208786e+08 3.5614550781654584e+08 3.5196786903639108e+08 3.4833903689528048e+08 3.4573014383828688e+08 3.4479005414077872e+08 3.4646656226731241e+08 3.5213420842620295e+08 3.6387623222106248e+08 3.8498946603831244e+08 4.2104269651574117e+08 2.2554804198250288e+08 +5.0434811603868246e+00 3.1675464829603577e+08 3.1672850128215384e+08 3.1668465181671739e+08 3.1663016984212732e+08 3.1658243982023841e+08 3.1656635659249306e+08 3.1659210288381988e+08 3.1664149994963461e+08 3.1669735624545908e+08 3.1675772638061970e+08 3.1682641703214145e+08 3.1690533058349037e+08 3.1699592153459293e+08 3.1710030535277069e+08 3.1722111305630296e+08 3.1736127205454338e+08 3.1752437886580259e+08 3.1771485727731597e+08 3.1793794471290916e+08 3.1819973721809542e+08 3.1850735586295718e+08 3.1886909654468238e+08 3.1929525141634852e+08 3.1980317512738854e+08 3.2041846270615631e+08 3.2115640875162810e+08 3.2202701772551006e+08 3.2304829447509468e+08 3.2424412529672050e+08 3.2564224544411778e+08 3.2727415298016578e+08 3.2917530840405256e+08 3.3138529039114058e+08 3.3394781867612654e+08 3.3691057484518260e+08 3.4032465618803865e+08 3.4424361746532840e+08 3.4872185771898282e+08 3.5381223645336580e+08 3.5956255953638691e+08 3.6651987540024483e+08 3.7430908261950272e+08 3.8292397178740442e+08 3.9231268186902803e+08 4.0236363259640473e+08 4.1289274187955606e+08 4.2363548677474940e+08 4.3424843571103412e+08 4.4432549603594488e+08 4.5342773831960934e+08 4.6112581703807026e+08 4.6708340795399046e+08 4.7111204965715837e+08 4.7314108238163465e+08 4.7326836771230137e+08 4.7173961573204702e+08 4.6887860834110564e+08 4.6504669690797812e+08 4.6058251393308121e+08 4.5580216784535444e+08 4.5093440059737712e+08 4.4617598295203990e+08 4.4163615851116043e+08 4.3742118235243267e+08 4.3356599048705226e+08 4.3008725938432401e+08 4.2700422476234967e+08 4.2429220768807572e+08 4.2191833395149833e+08 4.1986888809455502e+08 4.1809202575983930e+08 4.1657483662111181e+08 4.1528147841770542e+08 4.1419369039811307e+08 4.1326828328667510e+08 4.1245512575208348e+08 4.1173475557535678e+08 4.1107776091738278e+08 4.1043861425213259e+08 4.0998010586820310e+08 4.0951511673367643e+08 4.0903979310104835e+08 4.0854161171072340e+08 4.0802758786843812e+08 4.0748140596408033e+08 4.0692948217428094e+08 4.0631089153263009e+08 4.0564889627444273e+08 4.0493132198304760e+08 4.0414866217459333e+08 4.0328936450719398e+08 4.0234041526014048e+08 4.0128151517964631e+08 4.0012290755027413e+08 3.9880933310410804e+08 3.9733663418402356e+08 3.9568344766713011e+08 3.9382678288517028e+08 3.9174293100300932e+08 3.8940811044398749e+08 3.8679447672724843e+08 3.8391338637076706e+08 3.8070342926702952e+08 3.7718031788336962e+08 3.7335220044721812e+08 3.6924910106738555e+08 3.6492210306493908e+08 3.6046843738417518e+08 3.5603137142336279e+08 3.5185506165832406e+08 3.4822739344633555e+08 3.4561933741591787e+08 3.4467955342167586e+08 3.4635552514781117e+08 3.5202135396408087e+08 3.6375961363852799e+08 3.8486608537285930e+08 4.2090774613176286e+08 2.2508751215105948e+08 +5.0484494831610824e+00 3.1775085252438056e+08 3.1772459476717699e+08 3.1768055656545979e+08 3.1762583105983657e+08 3.1757785728182793e+08 3.1756161972259539e+08 3.1758734249779826e+08 3.1763677813603175e+08 3.1769266496136361e+08 3.1775304163187796e+08 3.1782172108558023e+08 3.1790060455955714e+08 3.1799114215536284e+08 3.1809544538593256e+08 3.1821614160546279e+08 3.1835615339721733e+08 3.1851907150488061e+08 3.1870931326398242e+08 3.1893210856086898e+08 3.1919354429097861e+08 3.1950073068604982e+08 3.1986195027906287e+08 3.2028747524888372e+08 3.2079462562890941e+08 3.2140896585828662e+08 3.2214577490350366e+08 3.2301502972181273e+08 3.2403469578815925e+08 3.2522861181480086e+08 3.2662445608975059e+08 3.2825365846093917e+08 3.3015159759081668e+08 3.3235775383373272e+08 3.3491572872791421e+08 3.3787306178644627e+08 3.4128067954997599e+08 3.4519193203422362e+08 3.4966097362192047e+08 3.5474037333478010e+08 3.6047759515915757e+08 3.6741801417419320e+08 3.7518685229210812e+08 3.8377727336471105e+08 3.9313675125682527e+08 4.0315305049216968e+08 4.1364152107390916e+08 4.2433726810308570e+08 4.3489681636517990e+08 4.4491449230420554e+08 4.5395234516182190e+08 4.6158259727830189e+08 4.6747093991317898e+08 4.7143114825177771e+08 4.7339479085169327e+08 4.7346157363846701e+08 4.7187847545765877e+08 4.6896989773646885e+08 4.6509722005819446e+08 4.6059867075015330e+08 4.5578966548206079e+08 4.5089817975469494e+08 4.4612019316609222e+08 4.4156426803124648e+08 4.3733603338390791e+08 4.3346994403353828e+08 4.2998228330337358e+08 4.2689194907313055e+08 4.2417403109899157e+08 4.2179545803446615e+08 4.1974233706037211e+08 4.1796271123728484e+08 4.1644351591862839e+08 4.1514879641229612e+08 4.1406015985463196e+08 4.1313429567556334e+08 4.1232097846548527e+08 4.1160062441733795e+08 4.1094373847535688e+08 4.1030476005408072e+08 4.0984639195836461e+08 4.0938155141186368e+08 4.0890638238011897e+08 4.0840836404134709e+08 4.0789450874396998e+08 4.0734851011711848e+08 4.0679675501533842e+08 4.0617836715050203e+08 4.0551658882056642e+08 4.0479924957940066e+08 4.0401684604132867e+08 4.0315782963289082e+08 4.0220919087620890e+08 4.0115064122967005e+08 3.9999240032810318e+08 3.9867925530152458e+08 3.9720703769094503e+08 3.9555439133888656e+08 3.9369833307592630e+08 3.9161516179771107e+08 3.8928110368343246e+08 3.8666832727633369e+08 3.8378816585143423e+08 3.8057925664717817e+08 3.7705729528608847e+08 3.7323042733935827e+08 3.6912866712095690e+08 3.6480308128972417e+08 3.6035086907730025e+08 3.5591525478149486e+08 3.5174029730104363e+08 3.4811381319092935e+08 3.4550660868869948e+08 3.4456713560692328e+08 3.4624256160755819e+08 3.5190654157188183e+08 3.6364097184197921e+08 3.8474056408147812e+08 4.2077045472226012e+08 2.2462730492981184e+08 +5.0534178059353403e+00 3.1874365214491540e+08 3.1871727991830224e+08 3.1867305700734091e+08 3.1861808806955969e+08 3.1856987168861562e+08 3.1855348015491658e+08 3.1857917905620086e+08 3.1862865265959084e+08 3.1868456930064917e+08 3.1874495176943088e+08 3.1881361919000500e+08 3.1889247163585669e+08 3.1898295479126298e+08 3.1908717619105649e+08 3.1920775949345398e+08 3.1934762242542797e+08 3.1951034991268319e+08 3.1970035278636682e+08 3.1992285333623612e+08 3.2018392923713201e+08 3.2049067979981166e+08 3.2085137409725398e+08 3.2127626421766192e+08 3.2178263538150519e+08 3.2239602114084226e+08 3.2313168465201432e+08 3.2399957526026356e+08 3.2501761886987686e+08 3.2620960634427297e+08 3.2760315870177138e+08 3.2922963723273349e+08 3.3112433838636321e+08 3.3332664378413373e+08 3.3588003632495910e+08 3.3883191298609197e+08 3.4223302909322625e+08 3.4613652946767533e+08 3.5059632343985838e+08 3.5566468926164222e+08 3.6138874892660952e+08 3.6831219911898285e+08 3.7606059008129925e+08 3.8462646033591944e+08 3.9395662099873424e+08 4.0393818488282841e+08 4.1438593885909462e+08 4.2503462208132648e+08 4.3554072260913479e+08 4.4549899310482520e+08 4.5447246777044374e+08 4.6203494099357021e+08 4.6785412044678152e+08 4.7174601497380149e+08 4.7364441503746700e+08 4.7365086208991849e+08 4.7201359397171110e+08 4.6905762262890452e+08 4.6514434863023520e+08 4.6061159119439614e+08 4.5577407042544043e+08 4.5085899436007273e+08 4.4606155154939485e+08 4.4148962392461246e+08 4.3724821562213796e+08 4.3337130158993787e+08 4.2987477329485393e+08 4.2677719193840551e+08 4.2405341704766619e+08 4.2167018117585307e+08 4.1961341498039937e+08 4.1783104977958196e+08 4.1630986735585892e+08 4.1501380131661719e+08 4.1392432737757754e+08 4.1299801449294919e+08 4.1218454392497802e+08 4.1146421093020755e+08 4.1080743779420394e+08 4.1016863133012313e+08 4.0971040610303873e+08 4.0924571673437250e+08 4.0877070493907982e+08 4.0827285241075295e+08 4.0775916850254411e+08 4.0721335615857428e+08 4.0666177285061216e+08 4.0604359118651086e+08 4.0538203344927114e+08 4.0466493322987360e+08 4.0388279029542416e+08 4.0302405990359569e+08 4.0207573689210659e+08 4.0101754352617943e+08 3.9985967581921399e+08 3.9854696748726887e+08 3.9707523934283471e+08 3.9542314231307906e+08 3.9356770085370713e+08 3.9148522172331190e+08 3.8915193898805404e+08 3.8654003435400319e+08 3.8366081787109298e+08 3.8045297435013449e+08 3.7693218253140849e+08 3.7310658528448600e+08 3.6900618696105260e+08 3.6468203727504146e+08 3.6023130320792276e+08 3.5579716514643478e+08 3.5162358313493103e+08 3.4799830322586960e+08 3.4539196470139611e+08 3.4445280772086513e+08 3.4612767870487136e+08 3.5178977842329407e+08 3.6352031424441296e+08 3.8461291000787324e+08 4.2063083086527830e+08 2.2416742328998294e+08 +5.0583861287095981e+00 3.1973303849367332e+08 3.1970655468589026e+08 3.1966214817897886e+08 3.1960693593283707e+08 3.1955847674953628e+08 3.1954193171856177e+08 3.1956760639474207e+08 3.1961711736085081e+08 3.1967306310258090e+08 3.1973345063293022e+08 3.1980210518797851e+08 3.1988092565821946e+08 3.1997135329206043e+08 3.2007549162268198e+08 3.2019596058023125e+08 3.2033567300596017e+08 3.2049820796335316e+08 3.2068796972799873e+08 3.2091017293463290e+08 3.2117088596526301e+08 3.2147719712939066e+08 3.2183736194336706e+08 3.2226161228904974e+08 3.2276719837899017e+08 3.2337962258082110e+08 3.2411413206362319e+08 3.2498064845473355e+08 3.2599705789001912e+08 3.2718710312084734e+08 3.2857834759344542e+08 3.3020208370166451e+08 3.3209352530523789e+08 3.3429195488395125e+08 3.3684073625864846e+08 3.3978712341317743e+08 3.4318169999323940e+08 3.4707740518526769e+08 3.5152790287859297e+08 3.5658518027510679e+08 3.6229601727083683e+08 3.6920242716045368e+08 3.7693029349173808e+08 3.8547153088035572e+08 3.9477229005339813e+08 4.0471903561632317e+08 4.1512599608138698e+08 4.2572755065510631e+08 4.3618015756412756e+08 4.4607900277756065e+08 4.5498811169918841e+08 4.6248285488662010e+08 4.6823295728618348e+08 4.7205665841787481e+08 4.7388996419746095e+08 4.7383624278790420e+08 4.7214498126787907e+08 4.6914179312858450e+08 4.6518809272990674e+08 4.6062128528646970e+08 4.5575539255894607e+08 4.5081685413495100e+08 4.4600006765588075e+08 4.4141223557993108e+08 4.3715773830151039e+08 4.3327007225016677e+08 4.2976473832876402e+08 4.2665996221844894e+08 4.2393037430163825e+08 4.2154251206324470e+08 4.1948213047489280e+08 4.1769704995164096e+08 4.1617389945189065e+08 4.1487650161295235e+08 4.1378620142063016e+08 4.1285944816910410e+08 4.1204583054169601e+08 4.1132552350912756e+08 4.1066886725466686e+08 4.1003023644748622e+08 4.0957215666027188e+08 4.0910762105034107e+08 4.0863276911756629e+08 4.0813508514744622e+08 4.0762157546324009e+08 4.0707595239616269e+08 4.0652454397628522e+08 4.0590657192406785e+08 4.0524523843001616e+08 4.0452838119017655e+08 4.0374650317641777e+08 4.0288806354112136e+08 4.0194006150970131e+08 4.0088223025020045e+08 3.9972474218085963e+08 3.9841247779181659e+08 3.9694124724055135e+08 3.9528970865646303e+08 3.9343489424791515e+08 3.9135311876585287e+08 3.8902062429725075e+08 3.8640960584607655e+08 3.8353135025666809e+08 3.8032459013782299e+08 3.7680498730913490e+08 3.7298068189320731e+08 3.6888166811488140e+08 3.6455897846103936e+08 3.6010974712499386e+08 3.5567710977682686e+08 3.5150492633303976e+08 3.4788087065022910e+08 3.4527541249907798e+08 3.4433657679082233e+08 3.4601088350077981e+08 3.5167107169497889e+08 3.6339764826210946e+08 3.8448313099797183e+08 4.2048888314158696e+08 2.2370787018440300e+08 +5.0633544514838560e+00 3.2071900812705576e+08 3.2069241308666509e+08 3.2064782089982504e+08 3.2059236795563197e+08 3.2054366639083624e+08 3.2052696832641947e+08 3.2055261843124747e+08 3.2060216616251063e+08 3.2065814028917533e+08 3.2071853214466196e+08 3.2078717300427455e+08 3.2086596055552822e+08 3.2095633158995146e+08 3.2106038561733991e+08 3.2118073880846870e+08 3.2132029908801115e+08 3.2148263961433548e+08 3.2167215805598640e+08 3.2189406133398998e+08 3.2215440846693748e+08 3.2246027668189067e+08 3.2281990784347039e+08 3.2324351351258397e+08 3.2374830869797730e+08 3.2435976428817743e+08 3.2509311128863579e+08 3.2595824350263083e+08 3.2697300710216850e+08 3.2816109646421409e+08 3.2955001716257000e+08 3.3117099235652739e+08 3.3305915294485790e+08 3.3525368185817534e+08 3.3779782340469420e+08 3.4073868811913043e+08 3.4412668751078516e+08 3.4801455469080561e+08 3.5245570772862852e+08 3.5750184250069875e+08 3.6319939670988142e+08 3.7008869530972713e+08 3.7779596011316222e+08 3.8631248326219767e+08 3.9558375746351129e+08 4.0549560262330824e+08 4.1586169366868412e+08 4.2641605584722972e+08 4.3681512442623591e+08 4.4665452573284125e+08 4.5549928256461030e+08 4.6292634571789575e+08 4.6860745821537548e+08 4.7236308722192031e+08 4.7413144762842870e+08 4.7401772548315650e+08 4.7227264736524159e+08 4.6922241936556047e+08 4.6522846247965705e+08 4.6062776305920815e+08 4.5573364177774036e+08 4.5077176881199491e+08 4.4593575104705435e+08 4.4133211239313668e+08 4.3706461066286641e+08 4.3316626511414415e+08 4.2965218737980574e+08 4.2654026877877748e+08 4.2380491163145924e+08 4.2141245938693810e+08 4.1934849216766894e+08 4.1756072032184577e+08 4.1603562072928828e+08 4.1473690578711301e+08 4.1364579044001442e+08 4.1271860513668227e+08 4.1190484672910869e+08 4.1118457055144036e+08 4.1052803524104267e+08 4.0988958377705270e+08 4.0943165199146605e+08 4.0896727271072137e+08 4.0849258325736314e+08 4.0799507058367622e+08 4.0748173794710827e+08 4.0693630713998932e+08 4.0638507669107336e+08 4.0576731764895070e+08 4.0510621203552538e+08 4.0438960171855581e+08 4.0360799292624766e+08 4.0274984877028906e+08 4.0180217293509328e+08 4.0074470958510739e+08 3.9958760757305455e+08 3.9827579434859085e+08 3.9680506948714483e+08 3.9515409843827504e+08 3.9329992128941965e+08 3.9121886091533411e+08 3.8888716755235994e+08 3.8627704964072311e+08 3.8339977083776820e+08 3.8019411177427351e+08 3.7667571731152976e+08 3.7285272478032613e+08 3.6875511811400753e+08 3.6443391228967154e+08 3.5998620817944771e+08 3.5555509593346626e+08 3.5138433407139790e+08 3.4776152256626654e+08 3.4515695913081861e+08 3.4421844984600449e+08 3.4589218305911911e+08 3.5155042856659132e+08 3.6327298131348789e+08 3.8435123490070379e+08 4.2034462013547790e+08 2.2324864854755664e+08 +5.0683227742581138e+00 3.2170155636018831e+08 3.2167484886812347e+08 3.2163007159749842e+08 3.2157437858717090e+08 3.2152543474654639e+08 3.2150858397385830e+08 3.2153420916760951e+08 3.2158379306689620e+08 3.2163979486526644e+08 3.2170019030962318e+08 3.2176881664673650e+08 3.2184757033911371e+08 3.2193788369953918e+08 3.2204185219460201e+08 3.2216208820302618e+08 3.2230149470314914e+08 3.2246363890556985e+08 3.2265291181926054e+08 3.2287451259484267e+08 3.2313449081631726e+08 3.2343991254811621e+08 3.2379900590740108e+08 3.2422196202034175e+08 3.2472596049797404e+08 3.2533644045557117e+08 3.2606861656007063e+08 3.2693235468432879e+08 3.2794546084225363e+08 3.2913158077723908e+08 3.3051816188954753e+08 3.3213635777076072e+08 3.3402121598640472e+08 3.3621181951612866e+08 3.3875129272214454e+08 3.4168660224120361e+08 3.4506798698999268e+08 3.4894797357377869e+08 3.5337973386516583e+08 3.5841467214895761e+08 3.6409888384620398e+08 3.7097100066338938e+08 3.7865758762038463e+08 3.8714931583019882e+08 3.9639102235572934e+08 4.0626788591712946e+08 4.1659303262841702e+08 4.2710013975803155e+08 4.3744562646472377e+08 4.4722556644995564e+08 4.5600598604834068e+08 4.6336542030569953e+08 4.6897763106740230e+08 4.7266531006736320e+08 4.7436887466283023e+08 4.7419531995710951e+08 4.7239660230761975e+08 4.6929951148984653e+08 4.6526546801802850e+08 4.6063103455926365e+08 4.5570882798722804e+08 4.5072374813158017e+08 4.4586861129282814e+08 4.4124926376630259e+08 4.3696884195228279e+08 4.3305988928675449e+08 4.2953712942676705e+08 4.2641812048839176e+08 4.2367703781260073e+08 4.2128003184208286e+08 4.1921250868600816e+08 4.1742206946139228e+08 4.1589503971347159e+08 4.1459502232710809e+08 4.1350310289473337e+08 4.1257549383176166e+08 4.1176160090431952e+08 4.1104136045808399e+08 4.1038495013962030e+08 4.0974668169237894e+08 4.0928890045991772e+08 4.0882468007013828e+08 4.0835015570282596e+08 4.0785281705362689e+08 4.0733966427786559e+08 4.0679442870294738e+08 4.0624337929688662e+08 4.0562583665061325e+08 4.0496496254180849e+08 4.0424860307566643e+08 4.0346726778983480e+08 4.0260942381862718e+08 4.0166207937570328e+08 4.0060498971789920e+08 3.9944828015860057e+08 3.9813692529344070e+08 3.9666671418865442e+08 3.9501631973131388e+08 3.9316279001316637e+08 3.9108245616300929e+08 3.8875157669740397e+08 3.8614237362893891e+08 3.8326608744631028e+08 3.8006154702588534e+08 3.7654438023314571e+08 3.7272272156255281e+08 3.6862654449039543e+08 3.6430684620579058e+08 3.5986069372559762e+08 3.5543113087997979e+08 3.5126181352813619e+08 3.4764026607740360e+08 3.4503661164745343e+08 3.4409843391836953e+08 3.4577158444565690e+08 3.5142785621912342e+08 3.6314632081963176e+08 3.8421722956817234e+08 4.2019805043371117e+08 2.2278976129563221e+08 +5.0732910970323717e+00 3.2268067118477714e+08 3.2265385649315417e+08 3.2260889480420756e+08 3.2255296119714063e+08 3.2250377601238728e+08 3.2248677273479617e+08 3.2251237269162059e+08 3.2256199215748370e+08 3.2261802091793871e+08 3.2267841921577281e+08 3.2274703020544177e+08 3.2282574910215813e+08 3.2291600371793509e+08 3.2301988545592415e+08 3.2314000287108964e+08 3.2327925396550846e+08 3.2344119995822001e+08 3.2363022514946681e+08 3.2385152086023438e+08 3.2411112716993922e+08 3.2441609890003264e+08 3.2477465032647651e+08 3.2519695202648765e+08 3.2570014802047050e+08 3.2630964535842723e+08 3.2704064219263995e+08 3.2790297636251616e+08 3.2891441352972382e+08 3.3009855054504859e+08 3.3148277633833194e+08 3.3309817459962255e+08 3.3497970919475013e+08 3.3716636275015402e+08 3.3970113925473279e+08 3.4263086099894822e+08 3.4600559385928065e+08 3.4987765750642592e+08 3.5429997724798065e+08 3.5932366551566601e+08 3.6499447536704510e+08 3.7184934040172452e+08 3.7951517377295476e+08 3.8798202701655215e+08 3.9719408393885541e+08 4.0703588559184152e+08 4.1732001404824793e+08 4.2777980456588471e+08 4.3807166702342266e+08 4.4779212947695881e+08 4.5650822789419156e+08 4.6380008552469528e+08 4.6934348372666186e+08 4.7296333567837733e+08 4.7460225466897750e+08 4.7436903602124870e+08 4.7251685616293001e+08 4.6937307967164177e+08 4.6529911949982524e+08 4.6063110984559453e+08 4.5568096110401022e+08 4.5067280184360409e+08 4.4579865796968693e+08 4.4116369910839939e+08 4.3687044142191112e+08 4.3295095387737489e+08 4.2941957345258605e+08 4.2629352622102255e+08 4.2354676162311256e+08 4.2114523812630928e+08 4.1907418866015697e+08 4.1728110594360626e+08 4.1575216493243647e+08 4.1445085972432685e+08 4.1335814724661493e+08 4.1243012269239187e+08 4.1161610148615766e+08 4.1089590163223517e+08 4.1023962033954626e+08 4.0960153856906849e+08 4.0914391043285018e+08 4.0867985148569876e+08 4.0820549480188304e+08 4.0770833289454466e+08 4.0719536278263855e+08 4.0665032540063703e+08 4.0609946009746921e+08 4.0548213722066510e+08 4.0482149822643679e+08 4.0410539352490437e+08 4.0332433601511443e+08 4.0246679691581732e+08 4.0151978904236680e+08 4.0046307883712894e+08 3.9930676810313475e+08 3.9799587876457834e+08 3.9652618945325708e+08 3.9487638060965979e+08 3.9302350845575434e+08 3.9094391250337976e+08 3.8861385967928433e+08 3.8600558570451301e+08 3.8313030791678035e+08 3.7992690366183549e+08 3.7641098377116197e+08 3.7259067985854727e+08 3.6849595477963138e+08 3.6417778765624076e+08 3.5973321111909372e+08 3.5530522188179046e+08 3.5113737188313705e+08 3.4751710829035169e+08 3.4491437710202014e+08 3.4397653604144084e+08 3.4564909472876000e+08 3.5130336183643860e+08 3.6301767420369989e+08 3.8408112285391176e+08 4.2004918262514967e+08 2.2233121132657024e+08 +5.0782594198066295e+00 3.2365635169608665e+08 3.2362942685513592e+08 3.2358428237247235e+08 3.2352810953664917e+08 3.2347868429953498e+08 3.2346152875927114e+08 3.2348710317733532e+08 3.2353675759974217e+08 3.2359281261669278e+08 3.2365321303281307e+08 3.2372180785218716e+08 3.2380049101957107e+08 3.2389068582394493e+08 3.2399447958491355e+08 3.2411447700243378e+08 3.2425357107060730e+08 3.2441531697707504e+08 3.2460409226050252e+08 3.2482508035503376e+08 3.2508431176664537e+08 3.2538882999307489e+08 3.2574683537515354e+08 3.2616847782808894e+08 3.2667086559013695e+08 3.2727937335414690e+08 3.2800918258449841e+08 3.2887010298325413e+08 3.2987985966646677e+08 3.3106200033569348e+08 3.3244385515552771e+08 3.3405643758265018e+08 3.3593462741754514e+08 3.3811730653614932e+08 3.4064735812900770e+08 3.4357145969676423e+08 3.4693950363101614e+08 3.5080360224601310e+08 3.5521643392042989e+08 3.6022881898024142e+08 3.6588616804464102e+08 3.7272371178981739e+08 3.8036871641331971e+08 3.8881061533746350e+08 3.9799294150485224e+08 4.0779960182398534e+08 4.1804263909528476e+08 4.2845505252456003e+08 4.3869324951789373e+08 4.4835421943027192e+08 4.5700601390933096e+08 4.6423034830576730e+08 4.6970502412553328e+08 4.7325717282132745e+08 4.7483159705133146e+08 4.7453888351604706e+08 4.7263341902334738e+08 4.6944313409950364e+08 4.6532942709496230e+08 4.6062799899076575e+08 4.5565005105449653e+08 4.5061893970598125e+08 4.4572590066171515e+08 4.4107542783383214e+08 4.3676941832879627e+08 4.3283946800057721e+08 4.2929952844524962e+08 4.2616649485307127e+08 4.2341409184479868e+08 4.2100808694019669e+08 4.1893354072311789e+08 4.1713783834613025e+08 4.1560700491740513e+08 4.1430442647246170e+08 4.1321093195979851e+08 4.1228250015948057e+08 4.1146835689633733e+08 4.1074820247935873e+08 4.1009205423239189e+08 4.0945416278495836e+08 4.0899669027848172e+08 4.0853279531662214e+08 4.0805860890355164e+08 4.0756162644620240e+08 4.0704884179002905e+08 4.0650400555078077e+08 4.0595332739957565e+08 4.0533622765284318e+08 4.0467582736976516e+08 4.0395998133217436e+08 4.0317920585121733e+08 4.0232197629401040e+08 4.0137531014790738e+08 4.0031898513398349e+08 3.9916307957331043e+08 3.9785266290315115e+08 3.9638350339211333e+08 3.9473428915054232e+08 3.9288208465629566e+08 3.9080323793271172e+08 3.8847402444692814e+08 3.8586669376208746e+08 3.8299244008625090e+08 3.7979018945311940e+08 3.7627553562478381e+08 3.7245660728964400e+08 3.6836335651895964e+08 3.6404674409025937e+08 3.5960376771857566e+08 3.5517737620640689e+08 3.5101101631903839e+08 3.4739205631303483e+08 3.4479026254924911e+08 3.4385276325121713e+08 3.4552472097806096e+08 3.5117695260434049e+08 3.6288704889076531e+08 3.8394292261410046e+08 4.1989802530195898e+08 2.2187300152011204e+08 +5.0832277425808874e+00 3.2462859138039279e+08 3.2460155696344668e+08 3.2455622964282316e+08 3.2449981848555726e+08 3.2445015367887223e+08 3.2443284627224016e+08 3.2445839488087577e+08 3.2450808363948184e+08 3.2456416421223408e+08 3.2462456601301479e+08 3.2469314384127408e+08 3.2477179034920347e+08 3.2486192427859378e+08 3.2496562884719479e+08 3.2508550486824083e+08 3.2522444029770035e+08 3.2538598424792355e+08 3.2557450744790864e+08 3.2579518538663149e+08 3.2605403892694771e+08 3.2635810016388208e+08 3.2671555540917200e+08 3.2713653380385721e+08 3.2763810761331403e+08 3.2824561888294226e+08 3.2897423221612227e+08 3.2983372907372248e+08 3.3084179383677298e+08 3.3202192480070555e+08 3.3340139307014531e+08 3.3501114154106200e+08 3.3688596558537048e+08 3.3906464593305719e+08 3.4158994455451846e+08 3.4450839372184891e+08 3.4786971190106803e+08 3.5172580363321930e+08 3.5612910001087022e+08 3.6113012900617957e+08 3.6677395873420346e+08 3.7359411217690313e+08 3.8121821346861678e+08 3.8963507939225596e+08 3.9878759442889953e+08 4.0855903487075603e+08 4.1876090901552719e+08 4.2912588596526092e+08 4.3931037743720317e+08 4.4891184099401528e+08 4.5749934996288949e+08 4.6465621563695604e+08 4.7006226024601507e+08 4.7354683030609584e+08 4.7505691124998266e+08 4.7470487231137729e+08 4.7274630100381941e+08 4.6950968498223096e+08 4.6535640098949867e+08 4.6062171207853776e+08 4.5561610777575982e+08 4.5056217148541510e+08 4.4565034896010840e+08 4.4098445936351091e+08 4.3666578193481207e+08 4.3272544077493495e+08 4.2917700339552647e+08 4.2603703526467389e+08 4.2327903726245952e+08 4.2086858698773503e+08 4.1879057351059383e+08 4.1699227524775559e+08 4.1545956820088333e+08 4.1415573106721312e+08 4.1306146550090855e+08 4.1213263467600346e+08 4.1131837555838907e+08 4.1059827140735185e+08 4.0994226021192670e+08 4.0930456272116631e+08 4.0884724836809486e+08 4.0838351992419767e+08 4.0790950635972613e+08 4.0741270604940265e+08 4.0690010963125449e+08 4.0635547747340977e+08 4.0580498951196206e+08 4.0518811624300212e+08 4.0452795825452322e+08 4.0381237476514739e+08 4.0303188555023700e+08 4.0217497018758243e+08 4.0122865090709984e+08 4.0017271680201811e+08 3.9901722273954844e+08 3.9770728585183811e+08 3.9623866411766571e+08 3.9459005343305886e+08 3.9273852665564466e+08 3.9066044045003396e+08 3.8833207895083505e+08 3.8572570569973779e+08 3.8285249179275423e+08 3.7965141217303526e+08 3.7613804349499708e+08 3.7232051147850722e+08 3.6822875724797076e+08 3.6391372295843631e+08 3.5947237088373274e+08 3.5504760112313831e+08 3.5088275401965714e+08 3.4726511725578809e+08 3.4466427504610950e+08 3.4372712258534718e+08 3.4539847026568389e+08 3.5104863571043372e+08 3.6275445230849218e+08 3.8380263670705456e+08 4.1974458705835992e+08 2.2141513473784873e+08 +5.0881960653551452e+00 3.2559738205559653e+08 3.2557024019662136e+08 3.2552473076080292e+08 3.2546808267483848e+08 3.2541817842289281e+08 3.2540071957509172e+08 3.2542624213962686e+08 3.2547596460483456e+08 3.2553207003676212e+08 3.2559247248990619e+08 3.2566103250854278e+08 3.2573964143014818e+08 3.2582971342434829e+08 3.2593332758999437e+08 3.2605308082183582e+08 3.2619185600517929e+08 3.2635319613882083e+08 3.2654146508954298e+08 3.2676183034399015e+08 3.2702030305344242e+08 3.2732390383123875e+08 3.2768080486648196e+08 3.2810111441489178e+08 3.2860186857834780e+08 3.2920837646668744e+08 3.2993578564931196e+08 3.3079384924462938e+08 3.3180021070687532e+08 3.3297831867227268e+08 3.3435538489399737e+08 3.3596228137946874e+08 3.3783371871170270e+08 3.4000837608267391e+08 3.4252889382404590e+08 3.4544165854456270e+08 3.4879621434862173e+08 3.5264425759228331e+08 3.5703797173010921e+08 3.6202759214071971e+08 3.6765784437563694e+08 3.7446053899570286e+08 3.8206366294985121e+08 3.9045541786317497e+08 3.9957804216679919e+08 4.0931418507003814e+08 4.1947482513370919e+08 4.2979230729433119e+08 4.3992305434189594e+08 4.4946499892039239e+08 4.5798824198635989e+08 4.6507769456030166e+08 4.7041520011953110e+08 4.7383231698182005e+08 4.7527820673903900e+08 4.7486701230515110e+08 4.7285551224363750e+08 4.6957274254624659e+08 4.6538005138287383e+08 4.6061225920588905e+08 4.5557914121402830e+08 4.5050250695709729e+08 4.4557201246270365e+08 4.4089080312338251e+08 4.3655954150744206e+08 4.3260888132269704e+08 4.2905200729858273e+08 4.2590515633986217e+08 4.2314160666425610e+08 4.2072674697536272e+08 4.1864529566095030e+08 4.1684442523023891e+08 4.1530986331860310e+08 4.1400478200675225e+08 4.1290975633798558e+08 4.1198053468666488e+08 4.1116616589828497e+08 4.1044611682576531e+08 4.0979024667358488e+08 4.0915274675933099e+08 4.0869559307448196e+08 4.0823203367228794e+08 4.0775819552418625e+08 4.0726158004811656e+08 4.0674917463949090e+08 4.0620474949011445e+08 4.0565445474482477e+08 4.0503781128913200e+08 4.0437789916505140e+08 4.0366258209369111e+08 4.0288238336596876e+08 4.0202578683278322e+08 4.0107981953698963e+08 4.0002428203677046e+08 3.9886920577330625e+08 3.9755975575545055e+08 3.9609167974467903e+08 3.9444368153805518e+08 3.9259284249713540e+08 3.9051552805524200e+08 3.8818803114430982e+08 3.8558262941698116e+08 3.8271047087699378e+08 3.7951057959637922e+08 3.7599851508521616e+08 3.7218240005030215e+08 3.6809216450718743e+08 3.6377873171359688e+08 3.5933902797631413e+08 3.5491590390325534e+08 3.5075259217127174e+08 3.4713629823039740e+08 3.4453642165127409e+08 3.4359962108306795e+08 3.4527034966518223e+08 3.5091841834392226e+08 3.6261989188536632e+08 3.8366027299298096e+08 4.1958887649009979e+08 2.2095761382326972e+08 +5.0931643881294031e+00 3.2656272546339512e+08 3.2653547180470818e+08 3.2648978060168594e+08 3.2643289519837517e+08 3.2638275311873341e+08 3.2636514305369425e+08 3.2639063936908507e+08 3.2644039490553933e+08 3.2649652450341100e+08 3.2655692687869996e+08 3.2662546827088469e+08 3.2670403868227196e+08 3.2679404768519729e+08 3.2689757024193579e+08 3.2701719929698825e+08 3.2715581263518745e+08 3.2731694709871101e+08 3.2750495964384526e+08 3.2772500969700378e+08 3.2798309863032466e+08 3.2828623549534303e+08 3.2864257826704472e+08 3.2906221420336348e+08 3.2956214305526757e+08 3.3016764070882785e+08 3.3089383752838296e+08 3.3175045818765092e+08 3.3275510502550077e+08 3.3393117676607984e+08 3.3530582552073961e+08 3.3690985208411413e+08 3.3877788189192992e+08 3.4094849220902061e+08 3.4346420131332916e+08 3.4637124971830291e+08 3.4971900673588419e+08 3.5355896013039654e+08 3.5794304537312174e+08 3.6292120501469529e+08 3.6853782199157614e+08 3.7532298976273119e+08 3.8290506295004874e+08 3.9127162951532531e+08 4.0036428425781959e+08 4.1006505283986181e+08 4.2018438885278159e+08 4.3045431899357504e+08 4.4053128386469114e+08 4.5001369802797383e+08 4.5847269597211963e+08 4.6549479217370427e+08 4.7076385182506877e+08 4.7411364174116141e+08 4.7549549302730012e+08 4.7502531342459732e+08 4.7296106290417629e+08 4.6963231703716749e+08 4.6540038849124759e+08 4.6059965048063582e+08 4.5553916132523769e+08 4.5043995590288019e+08 4.4549090077336651e+08 4.4079446854558539e+08 4.3645070631799459e+08 4.3248979877179426e+08 4.2892454915279996e+08 4.2577086696489394e+08 4.2300180884045541e+08 4.2058257561195087e+08 4.1849771581468624e+08 4.1669429687714660e+08 4.1515789880789107e+08 4.1385158779105663e+08 4.1275581294181949e+08 4.1182620863849872e+08 4.1101173634379649e+08 4.1029174714633805e+08 4.0963602201509619e+08 4.0899872328436100e+08 4.0854173277250272e+08 4.0807834492556560e+08 4.0760468475235575e+08 4.0710825678744954e+08 4.0659604514925158e+08 4.0605182992517442e+08 4.0550173141075522e+08 4.0488532109123486e+08 4.0422565838756692e+08 4.0351061158908433e+08 4.0273070755407929e+08 4.0187443446774423e+08 4.0092882425640255e+08 3.9987368903465939e+08 3.9871903684743977e+08 3.9741008076030916e+08 3.9594255838963681e+08 3.9429518154793328e+08 3.9244504022549826e+08 3.9036850875103766e+08 3.8804188898127264e+08 3.8543747281495178e+08 3.8256638518170756e+08 3.7936769949999154e+08 3.7585695809992480e+08 3.7204228063176364e+08 3.6795358584023643e+08 3.6364177781039870e+08 3.5920374635956651e+08 3.5478229181979227e+08 3.5062053796063131e+08 3.4700560634956676e+08 3.4440670942458361e+08 3.4347026578550875e+08 3.4514036625162947e+08 3.5078630769488418e+08 3.6248337505233032e+08 3.8351583933343136e+08 4.1943090219501454e+08 2.2050044160181192e+08 +5.0981327109036609e+00 3.2752460788692880e+08 3.2749724419258898e+08 3.2745137394814312e+08 3.2739425089125639e+08 3.2734387245780993e+08 3.2732611118995595e+08 3.2735158106070691e+08 3.2740136903232002e+08 3.2745752210662341e+08 3.2751792367614537e+08 3.2758644562695700e+08 3.2766497660739672e+08 3.2775492156661785e+08 3.2785835131328529e+08 3.2797785481037813e+08 3.2811630471004754e+08 3.2827723165856838e+08 3.2846498565123844e+08 3.2868471799812877e+08 3.2894242022285181e+08 3.2924508973797685e+08 3.2960087021153396e+08 3.3001982779355317e+08 3.3051892569574910e+08 3.3112340629504240e+08 3.3184838257900977e+08 3.3270355067615259e+08 3.3370647162287265e+08 3.3488049397908598e+08 3.3625270992637080e+08 3.3785384872401321e+08 3.3971845030431527e+08 3.4188498961913109e+08 3.4439586248045057e+08 3.4729716287921131e+08 3.5063808490813786e+08 3.5446990733815855e+08 3.5884431731738836e+08 3.6381096434242445e+08 3.6941388868898851e+08 3.7618146207719791e+08 3.8374241164600319e+08 3.9208371319600648e+08 4.0114632032085383e+08 4.1081163867908496e+08 4.2088960165389180e+08 4.3111192362023866e+08 4.4113506970984858e+08 4.5055794320261490e+08 4.5895271797389293e+08 4.6590751562982130e+08 4.7110822348923850e+08 4.7439081351635337e+08 4.7570877965804666e+08 4.7517978562352598e+08 4.7306296316951054e+08 4.6968841871770328e+08 4.6541742254370499e+08 4.6058389602295423e+08 4.5549617807511240e+08 4.5037452811305112e+08 4.4540702350282103e+08 4.4069546506674534e+08 4.3633928564241397e+08 4.3236820225198376e+08 4.2879463795971423e+08 4.2563417602952296e+08 4.2285965258423430e+08 4.2043608160855889e+08 4.1834784261397731e+08 4.1654189877449882e+08 4.1500368320790476e+08 4.1369615692201430e+08 4.1259964378457272e+08 4.1166966497993934e+08 4.1085509532392311e+08 4.1013517078162086e+08 4.0947959463523400e+08 4.0884250068132085e+08 4.0838567583841878e+08 4.0792246205121666e+08 4.0744898240157139e+08 4.0695274461499441e+08 4.0644072949724180e+08 4.0589672710353303e+08 4.0534682782369399e+08 4.0473065395055491e+08 4.0407124420987350e+08 4.0335647152514893e+08 4.0257686637168163e+08 4.0172092133239245e+08 4.0077567328549409e+08 3.9972094599509168e+08 3.9856672413759249e+08 3.9725826901486403e+08 3.9579130817032593e+08 3.9414456154757476e+08 3.9229512788712144e+08 3.9021939054098380e+08 3.8789366041851801e+08 3.8529024379602396e+08 3.8242024255019027e+08 3.7922277966197586e+08 3.7571338024557853e+08 3.7190016085034233e+08 3.6781302879013228e+08 3.6350286870414495e+08 3.5906653339909774e+08 3.5464677214634466e+08 3.5048659857722694e+08 3.4687304872884768e+08 3.4427514542750144e+08 3.4333906373436379e+08 3.4500852710135478e+08 3.5065231095690590e+08 3.6234490924149209e+08 3.8336934359166741e+08 4.1927067277283669e+08 2.2004362088090920e+08 +5.1031010336779188e+00 3.2848302551188749e+08 3.2845555325018185e+08 3.2840950432466894e+08 3.2835214529760993e+08 3.2830153108744067e+08 3.2828361856462115e+08 3.2830906178301138e+08 3.2835888155674064e+08 3.2841505742086649e+08 3.2847545745993549e+08 3.2854395915669250e+08 3.2862244978811163e+08 3.2871232965488982e+08 3.2881566539456075e+08 3.2893504195829803e+08 3.2907332683319032e+08 3.2923404442970508e+08 3.2942153773348534e+08 3.2964094987973529e+08 3.2989826247785330e+08 3.3020046122252768e+08 3.3055567538226473e+08 3.3097394989022249e+08 3.3147221123304820e+08 3.3207566799156976e+08 3.3279941560825306e+08 3.3365312156570029e+08 3.3465430541054976e+08 3.3582626529031283e+08 3.3719603316857636e+08 3.3879426644913638e+08 3.4065541920865715e+08 3.4281786370154232e+08 3.4532387286548483e+08 3.4821939374561971e+08 3.5155344479294729e+08 3.5537709538825417e+08 3.5974178402409416e+08 3.6469686692030483e+08 3.7028604165668094e+08 3.7703595362124151e+08 3.8457570729641360e+08 3.9289166783418059e+08 4.0192415005716634e+08 4.1155394316458243e+08 4.2159046509520906e+08 4.3176512380613571e+08 4.4173441565165585e+08 4.5109773939566445e+08 4.5942831410556734e+08 4.6631587213520670e+08 4.7144832328613132e+08 4.7466384128014380e+08 4.7591807620794874e+08 4.7533043888442022e+08 4.7316122324650639e+08 4.6974105786929464e+08 4.6543116378373939e+08 4.6056500596314806e+08 4.5545020143813443e+08 4.5030623338468724e+08 4.4532039026743591e+08 4.4059380212919521e+08 4.3622528876111031e+08 4.3224410089794666e+08 4.2866228272458154e+08 4.2549509242580521e+08 4.2271514669136024e+08 4.2028727367864561e+08 4.1819568470443994e+08 4.1638723950932300e+08 4.1484722506009060e+08 4.1353849790328175e+08 4.1244125733976358e+08 4.1151091216091877e+08 4.1069625126962233e+08 4.0997639614728594e+08 4.0932097293470675e+08 4.0868408733822948e+08 4.0822743065009385e+08 4.0776439341748756e+08 4.0729109683018392e+08 4.0679505187859368e+08 4.0628323602144086e+08 4.0573944935211837e+08 4.0518975229923350e+08 4.0457381816958052e+08 4.0391466492128062e+08 4.0320017017603916e+08 4.0242086807765114e+08 4.0156525566752005e+08 4.0062037484588516e+08 3.9956606111769259e+08 3.9841227581977135e+08 3.9710432866831648e+08 3.9563793720667571e+08 3.9399182962200278e+08 3.9214311352923894e+08 3.9006818143030453e+08 3.8774335341277575e+08 3.8514095026418245e+08 3.8227205082767773e+08 3.7907582786189312e+08 3.7556778922930610e+08 3.7175604833603561e+08 3.6767050090335602e+08 3.6336201185225874e+08 3.5892739645981038e+08 3.5450935215881747e+08 3.5035078121033800e+08 3.4673863248335731e+08 3.4414173672287500e+08 3.4320602197359329e+08 3.4487483929200268e+08 3.5051643532232445e+08 3.6220450188585055e+08 3.8322079363217807e+08 4.1910819682471663e+08 2.1958715445004058e+08 +5.1080693564521766e+00 3.2943797443924248e+08 3.2941039753954029e+08 3.2936416869034827e+08 3.2930657345630169e+08 3.2925572361910212e+08 3.2923765984941602e+08 3.2926307618171835e+08 3.2931292713110405e+08 3.2936912510154819e+08 3.2942952288827544e+08 3.2949800352047056e+08 3.2957645288782072e+08 3.2966626661715776e+08 3.2976950715809339e+08 3.2988875541917068e+08 3.3002687368931371e+08 3.3018738010513949e+08 3.3037461059297305e+08 3.3059370005632895e+08 3.3085062012327367e+08 3.3115234469201171e+08 3.3150698854286003e+08 3.3192457528029102e+08 3.3242199448048782e+08 3.3302442064655274e+08 3.3374693150447822e+08 3.3459916579234242e+08 3.3559860138178039e+08 3.3676848575923884e+08 3.3813579038600409e+08 3.3973110049205238e+08 3.4158878394674635e+08 3.4374710992700237e+08 3.4624822809125853e+08 3.4913793811835366e+08 3.5246508240023911e+08 3.5628052053691828e+08 3.6063544203596574e+08 3.6557890962849540e+08 3.7115427816655403e+08 3.7788646215987349e+08 3.8540494824295890e+08 3.9369549244096321e+08 4.0269777324782056e+08 4.1229196695414764e+08 4.2228698081233281e+08 4.3241392225710207e+08 4.4232932553556287e+08 4.5163309162497258e+08 4.5989949054246664e+08 4.6671986894984430e+08 4.7178415943728518e+08 4.7493273404564869e+08 4.7612339228634644e+08 4.7547728321693188e+08 4.7325585336267638e+08 4.6979024479034519e+08 4.6544162246925962e+08 4.6054299044413620e+08 4.5540124139721859e+08 4.5023508152254277e+08 4.4523101068952602e+08 4.4048948917948991e+08 4.3610872495876789e+08 4.3211750384705347e+08 4.2852749245486867e+08 4.2535362504868209e+08 4.2256829995941633e+08 4.2013616053773600e+08 4.1804125073170996e+08 4.1623032767133749e+08 4.1468853290622139e+08 4.1337861923907942e+08 4.1228066208245742e+08 4.1134995863299477e+08 4.1053521261259645e+08 4.0981543165837038e+08 4.0916016531561506e+08 4.0852349164301884e+08 4.0806700558668506e+08 4.0760414739405930e+08 4.0713103639813077e+08 4.0663518692819136e+08 4.0612357306092620e+08 4.0558000499923062e+08 4.0503051315409976e+08 4.0441482205303544e+08 4.0375592881239432e+08 4.0304171581797397e+08 4.0226272093165720e+08 4.0140744571537244e+08 4.0046293716043156e+08 3.9940904260405350e+08 3.9825570007133687e+08 3.9694826787132496e+08 3.9548245361854446e+08 3.9383699385854876e+08 3.9198900520136344e+08 3.8991488942501235e+08 3.8759097592316043e+08 3.8498960012553865e+08 3.8212181786069620e+08 3.7892685188042802e+08 3.7542019276031113e+08 3.7160995071878189e+08 3.6752600972628486e+08 3.6321921471278667e+08 3.5878634290940726e+08 3.5437003913375598e+08 3.5021309305186385e+08 3.4660236473055351e+08 3.4400649037379247e+08 3.4307114754758650e+08 3.4473930990262431e+08 3.5037868798639822e+08 3.6206216041965055e+08 3.8307019732158285e+08 4.1894348295301306e+08 2.1913104508078068e+08 +5.1130376792264345e+00 3.3038944940271091e+08 3.3036176460837156e+08 3.3031535853162640e+08 3.3025752917709732e+08 3.3020644461403483e+08 3.3018822979762334e+08 3.3021361898107249e+08 3.3026350048758709e+08 3.3031971988438880e+08 3.3038011469987804e+08 3.3044857345945454e+08 3.3052698065078855e+08 3.3061672720126235e+08 3.3071987135635751e+08 3.3083898995104581e+08 3.3097694004364640e+08 3.3113723345835781e+08 3.3132419901284027e+08 3.3154296332226974e+08 3.3179948796701080e+08 3.3210073497190350e+08 3.3245480453728145e+08 3.3287169883062130e+08 3.3336827033344930e+08 3.3396965918851590e+08 3.3469092523678142e+08 3.3554167837402248e+08 3.3653935461128306e+08 3.3770715052764320e+08 3.3907197679951388e+08 3.4066434616597265e+08 3.4251853994185591e+08 3.4467272384778112e+08 3.4716892386143899e+08 3.5005279187995380e+08 3.5337299382207316e+08 3.5718017912131512e+08 3.6152528797858423e+08 3.6645708942843598e+08 3.7201859557272929e+08 3.7873298553953212e+08 3.8623013290836352e+08 3.9449518610840684e+08 4.0346718975482690e+08 4.1302571078295857e+08 4.2297915051758707e+08 4.3305832175279129e+08 4.4291980327696669e+08 4.5216400497264141e+08 4.6036625351734889e+08 4.6711951338769960e+08 4.7211574020961416e+08 4.7519750086500162e+08 4.7632473753739578e+08 4.7562032865650427e+08 4.7334686376821762e+08 4.6983598979578006e+08 4.6544880887085915e+08 4.6051785961830610e+08 4.5534930794415534e+08 4.5016108233739412e+08 4.4513889439650995e+08 4.4038253566898429e+08 4.3598960352298415e+08 4.3198842024027544e+08 4.2839027616074634e+08 4.2520978279510093e+08 4.2241912118822575e+08 4.1998275090268576e+08 4.1788454934357816e+08 4.1607117185076684e+08 4.1452761529041827e+08 4.1321652943606305e+08 4.1211786648866892e+08 4.1118681284851408e+08 4.1037198778613597e+08 4.0965228573265862e+08 4.0899718018069559e+08 4.0836072198584074e+08 4.0790440902844876e+08 4.0744173235152990e+08 4.0696880946635735e+08 4.0647315811440080e+08 4.0596174895588791e+08 4.0541840237350273e+08 4.0486911870610034e+08 4.0425367390557116e+08 4.0359504417479634e+08 4.0288111672762740e+08 4.0210243319488716e+08 4.0124749971965575e+08 4.0030336845391399e+08 3.9924989865644211e+08 3.9809700507158697e+08 3.9679009477635759e+08 3.9532486552865613e+08 3.9368006234483391e+08 3.9183281095331341e+08 3.8975952253306586e+08 3.8743653590922701e+08 3.8483620128552550e+08 3.8196955149618226e+08 3.7877585949943304e+08 3.7527059854818356e+08 3.7146187563019723e+08 3.6737956280625266e+08 3.6307448474500936e+08 3.5864338011612546e+08 3.5422884034831440e+08 3.5007354129326195e+08 3.4646425258829397e+08 3.4386941344518256e+08 3.4293444750130123e+08 3.4460194601306045e+08 3.5023907614413488e+08 3.6191789227933276e+08 3.8291756252621907e+08 4.1877653976084256e+08 2.1867529552684811e+08 +5.1180060020006923e+00 3.3133744607570028e+08 3.3130965624459100e+08 3.3126307043636191e+08 3.3120500825341058e+08 3.3115368866208351e+08 3.3113532324515373e+08 3.3116068498567915e+08 3.3121059643786752e+08 3.3126683658522177e+08 3.3132722771414310e+08 3.3139566379515260e+08 3.3147402790132415e+08 3.3156370623567355e+08 3.3166675282208198e+08 3.3178574039284301e+08 3.3192352074204516e+08 3.3208359934290922e+08 3.3227029785645103e+08 3.3248873455267042e+08 3.3274486089861089e+08 3.3304562696744174e+08 3.3339911828992939e+08 3.3381531548883176e+08 3.3431103376773965e+08 3.3491137862692648e+08 3.3563139185597980e+08 3.3648065440838319e+08 3.3747656025370347e+08 3.3864225481768483e+08 3.4000458771036887e+08 3.4159399886630827e+08 3.4344468269825423e+08 3.4559470109770292e+08 3.4808595596211493e+08 3.5096395099453849e+08 3.5427717523250282e+08 3.5807606756161749e+08 3.6241131855970925e+08 3.6733140336419290e+08 3.7287899131180680e+08 3.7957552168926209e+08 3.8705125979733407e+08 3.9529074800965589e+08 4.0423239951946861e+08 4.1375517546564835e+08 4.2366697599953818e+08 4.3369832514639586e+08 4.4350585286036110e+08 4.5269048458693665e+08 4.6082860932371712e+08 4.6751481281523603e+08 4.7244307391753429e+08 4.7545815082989937e+08 4.7652212163600135e+08 4.7575958526580608e+08 4.7343426473330235e+08 4.6987830321841770e+08 4.6545273327277648e+08 4.6048962364844245e+08 4.5529441107939249e+08 4.5008424564793301e+08 4.4504405102233171e+08 4.4027295105327117e+08 4.3586793374558407e+08 4.3185685922096896e+08 4.2825064285529816e+08 4.2506357456427741e+08 4.2226761917933083e+08 4.1982705349217921e+08 4.1772558918981320e+08 4.1590978063916433e+08 4.1436448075730163e+08 4.1305223700056678e+08 4.1195287903576374e+08 4.1102148326108229e+08 4.1020658522468317e+08 4.0948696678762048e+08 4.0883202593388277e+08 4.0819578675670058e+08 4.0773964935637933e+08 4.0727715666133338e+08 4.0680442439718741e+08 4.0630897378916222e+08 4.0579777204773331e+08 4.0525464980525082e+08 4.0470557727379578e+08 4.0409038203331041e+08 4.0343201930142206e+08 4.0271838118302745e+08 4.0194001312898093e+08 4.0108542592438650e+08 4.0014167695043987e+08 3.9908863747824419e+08 3.9793619899958551e+08 3.9662981753573132e+08 3.9516518105910712e+08 3.9352104316999632e+08 3.9167453883605814e+08 3.8960208876269585e+08 3.8728004133150166e+08 3.8468076165205061e+08 3.8181525958280349e+08 3.7862285850149876e+08 3.7511901430349916e+08 3.7131183070286226e+08 3.6723116769188809e+08 3.6292782940912598e+08 3.5849851544912577e+08 3.5408576308100808e+08 3.4993213312787706e+08 3.4632430317503011e+08 3.4373051300251222e+08 3.4279592888171828e+08 3.4446275470314145e+08 3.5009760699224108e+08 3.6177170490032512e+08 3.8276289711382133e+08 4.1860737585332841e+08 2.1821990852415541e+08 +5.1229743247749502e+00 3.3228195908879757e+08 3.3225406329092169e+08 3.3220729834025371e+08 3.3214900507989293e+08 3.3209745055225211e+08 3.3207893511090612e+08 3.3210426908046538e+08 3.3215420987359351e+08 3.3221047009993827e+08 3.3227085683005720e+08 3.3233926942986345e+08 3.3241758954437035e+08 3.3250719862899059e+08 3.3261014646930766e+08 3.3272900166408443e+08 3.3286661071057254e+08 3.3302647269294602e+08 3.3321290206797194e+08 3.3343100870339346e+08 3.3368673388681108e+08 3.3398701566434783e+08 3.3433992480632484e+08 3.3475542028353220e+08 3.3525027983889550e+08 3.3584957405189991e+08 3.3656832649183112e+08 3.3741608907477635e+08 3.3841021354544562e+08 3.3957379393263143e+08 3.4093361850099742e+08 3.4252005406796479e+08 3.4436720780207562e+08 3.4651303739181888e+08 3.4899932025990653e+08 3.5187141150791049e+08 3.5517762288671303e+08 3.5896818235891777e+08 3.6329353056854135e+08 3.6820184856178164e+08 3.7373546290188783e+08 3.8041406861955410e+08 3.8786832749586153e+08 3.9608217739778328e+08 4.0499340256337482e+08 4.1448036189418656e+08 4.2435045912258291e+08 4.3433393536381245e+08 4.4408747833980030e+08 4.5321253567890477e+08 4.6128656431418496e+08 4.6790577465140706e+08 4.7276616891962391e+08 4.7571469307074243e+08 4.7671555428919625e+08 4.7589506313362628e+08 4.7351806655090958e+08 4.6991719540649462e+08 4.6545340597245574e+08 4.6045829270799243e+08 4.5523656081037891e+08 4.5000458127776331e+08 4.4494649020448321e+08 4.4016074479229087e+08 4.3574372492148095e+08 4.3172282993627501e+08 4.2810860155390942e+08 4.2491500925695103e+08 4.2211380273565185e+08 4.1966907702598989e+08 4.1756437892085284e+08 4.1574616262986547e+08 4.1419913785271126e+08 4.1288575044111204e+08 4.1178570820181084e+08 4.1085397832486373e+08 4.1003901336313033e+08 4.0931948324224716e+08 4.0866471097999972e+08 4.0802869434724647e+08 4.0757273495272160e+08 4.0711042869615340e+08 4.0663788955290049e+08 4.0614264230470395e+08 4.0563165067828792e+08 4.0508875562552935e+08 4.0453989717654568e+08 4.0392495474350756e+08 4.0326686248517799e+08 4.0255351746274555e+08 4.0177546899691176e+08 4.0092123257533467e+08 3.9997787087599343e+08 3.9892526727372199e+08 3.9777329003601152e+08 3.9646744430279905e+08 3.9500340833310574e+08 3.9335994442350549e+08 3.9151419690134990e+08 3.8944259612244391e+08 3.8712150015147686e+08 3.8452328913223034e+08 3.8165894996925944e+08 3.7846785666969794e+08 3.7496544773760241e+08 3.7115982356964928e+08 3.6708083193232417e+08 3.6277925616518807e+08 3.5835175627772349e+08 3.5394081461082929e+08 3.4978887574884629e+08 3.4618252361053813e+08 3.4358979611187911e+08 3.4265559873517597e+08 3.4432174305460083e+08 3.4995428772747356e+08 3.6162360571968377e+08 3.8260620895275706e+08 4.1843599983528119e+08 2.1776488679085869e+08 +5.1279426475492080e+00 3.3322298307433093e+08 3.3319497653749335e+08 3.3314803759080839e+08 3.3308951348317063e+08 3.3303772536999005e+08 3.3301906039286381e+08 3.3304436623216808e+08 3.3309433576583797e+08 3.3315061540467024e+08 3.3321099702695197e+08 3.3327938534521449e+08 3.3335766056429034e+08 3.3344719936963403e+08 3.3355004729066730e+08 3.3366876876350862e+08 3.3380620495483691e+08 3.3396584852280086e+08 3.3415200667170095e+08 3.3436978080976856e+08 3.3462510198155373e+08 3.3492489612851900e+08 3.3527721917189258e+08 3.3569200832305509e+08 3.3618600368381196e+08 3.3678424063334394e+08 3.3750172435597843e+08 3.3834797763271695e+08 3.3934030980226433e+08 3.4050176325627106e+08 3.4185906463444960e+08 3.4344250732791644e+08 3.4528611091930902e+08 3.4742772852604288e+08 3.4990901270308334e+08 3.5277516954695386e+08 3.5607433312171644e+08 3.5985652009601671e+08 3.6417192087597340e+08 3.6906842222854710e+08 3.7458800794194406e+08 3.8124862442209613e+08 3.8868133467045122e+08 3.9686947360787684e+08 4.0575019898663461e+08 4.1520127103884673e+08 4.2502960182647896e+08 4.3496515540384197e+08 4.4466468383807689e+08 4.5373016352534890e+08 4.6174012489812922e+08 4.6829240636691087e+08 4.7308503362070817e+08 4.7596713675566190e+08 4.7690504523623031e+08 4.7602677237366331e+08 4.7359827953221065e+08 4.6995267672491091e+08 4.6545083727902061e+08 4.6042387698029870e+08 4.5517576715297657e+08 4.4992209905774873e+08 4.4484622158658946e+08 4.4004592634954107e+08 4.3561698634887230e+08 4.3158634153472173e+08 4.2796416127371204e+08 4.2476409577658498e+08 4.2195768066220480e+08 4.1950883022577381e+08 4.1740092718771327e+08 4.1558032641602546e+08 4.1403159512335533e+08 4.1271707826605362e+08 4.1161636246527046e+08 4.1068430649460799e+08 4.0986928063634390e+08 4.0914984351588619e+08 4.0849524372417712e+08 4.0785945314954805e+08 4.0740367419962001e+08 4.0694155682887483e+08 4.0646921329655230e+08 4.0597417201434559e+08 4.0546339319046223e+08 4.0492072816538572e+08 4.0437208673516858e+08 4.0375740034318644e+08 4.0309958202015120e+08 4.0238653384640783e+08 4.0160880906170398e+08 4.0075492791756845e+08 3.9981195845699084e+08 3.9875979624753779e+08 3.9760828636139840e+08 3.9630298323199159e+08 3.9483955547496325e+08 3.9319677419559860e+08 3.9135179320095038e+08 3.8928105262250501e+08 3.8696092033087993e+08 3.8436379163498718e+08 3.8150063050504285e+08 3.7831086178841943e+08 3.7480990656205130e+08 3.7100586186411196e+08 3.6692856307749552e+08 3.6262877247521806e+08 3.5820310997235703e+08 3.5379400221726626e+08 3.4964377635043538e+08 3.4603892101417929e+08 3.4344726983979130e+08 3.4251346410936522e+08 3.4417891814873636e+08 3.4980912554729253e+08 3.6147360217498976e+08 3.8244750591235864e+08 4.1826242031258643e+08 2.1731023302740631e+08 +5.1329109703234659e+00 3.3416051094005370e+08 3.3413240248283124e+08 3.3408528378836459e+08 3.3402652885885322e+08 3.3397450839728516e+08 3.3395569414855480e+08 3.3398097148911649e+08 3.3403096916623831e+08 3.3408726755524117e+08 3.3414764336341226e+08 3.3421600660273015e+08 3.3429423602585918e+08 3.3438370352648050e+08 3.3448645035996628e+08 3.3460503677077383e+08 3.3474229856119990e+08 3.3490172192634112e+08 3.3508760677114809e+08 3.3530504598752207e+08 3.3555996031201488e+08 3.3585926350542653e+08 3.3621099655139935e+08 3.3662507479580045e+08 3.3711820051832193e+08 3.3771537362202001e+08 3.3843158073931235e+08 3.3927631542125988e+08 3.4026684442175245e+08 3.4142615825263023e+08 3.4278092165401059e+08 3.4436135428266382e+08 3.4620138779757255e+08 3.4833877037672836e+08 3.5081502932089621e+08 3.5367522131934637e+08 3.5696730235516918e+08 3.6074107743696791e+08 3.6504648643412542e+08 3.6993112165271074e+08 3.7543662411287129e+08 3.8207918726999480e+08 3.8949028006889266e+08 3.9765263605271840e+08 4.0650278896873581e+08 4.1591790394688463e+08 4.2570440612664717e+08 4.3559198833734959e+08 4.4523747354630774e+08 4.5424337346510142e+08 4.6218929754437935e+08 4.6867471548499376e+08 4.7339967646972138e+08 4.7621549109161997e+08 4.7709060424822789e+08 4.7615472312635595e+08 4.7367491400955755e+08 4.6998475755420029e+08 4.6544503751508880e+08 4.6038638665770328e+08 4.5511204013050795e+08 4.4983680882337892e+08 4.4474325481623608e+08 4.3992850519264978e+08 4.3548772732898957e+08 4.3144740316808242e+08 4.2781733103392828e+08 4.2461084302714634e+08 4.2179926176427156e+08 4.1934632181328809e+08 4.1723524264280206e+08 4.1541228059212279e+08 4.1386186111629122e+08 4.1254622898510599e+08 4.1144485030552137e+08 4.1051247622564411e+08 4.0969739548079151e+08 4.0897805602839744e+08 4.0832363257212085e+08 4.0768807155582362e+08 4.0723247548013288e+08 4.0677054943279511e+08 4.0629840399215072e+08 4.0580357127114594e+08 4.0529300792679954e+08 4.0475057575696450e+08 4.0420215426930511e+08 4.0358772714026886e+08 4.0293018620050961e+08 4.0221743861325645e+08 4.0144004158713704e+08 4.0058652019700170e+08 3.9964394791990036e+08 3.9859223260401237e+08 3.9744119615727431e+08 3.9613644247725528e+08 3.9467363060895944e+08 3.9303154057664841e+08 3.9118733578765595e+08 3.8911746627245605e+08 3.8679830983201170e+08 3.8420227706916517e+08 3.8134030904025072e+08 3.7815188164143866e+08 3.7465239848924345e+08 3.7084995322009820e+08 3.6677436867697334e+08 3.6247638580022776e+08 3.5805258390302438e+08 3.5364533318026066e+08 3.4949684212680525e+08 3.4589350250676584e+08 3.4330294125296694e+08 3.4236953205167788e+08 3.4403428706757814e+08 3.4966212764938462e+08 3.6132170170436436e+08 3.8228679586184573e+08 4.1808664589182538e+08 2.1685594991659015e+08 +5.1378792930977237e+00 3.3509454210650712e+08 3.3506632590084773e+08 3.3501903256319851e+08 3.3496004680960494e+08 3.3490779486136496e+08 3.3488883147998059e+08 3.3491407998071218e+08 3.3496410520628130e+08 3.3502042168698978e+08 3.3508079097771955e+08 3.3514912834415430e+08 3.3522731107309139e+08 3.3531670624715614e+08 3.3541935082951683e+08 3.3553780084397048e+08 3.3567488669483691e+08 3.3583408807771277e+08 3.3601969755003953e+08 3.3623679943188035e+08 3.3649130408733130e+08 3.3679011302090931e+08 3.3714125219049728e+08 3.3755461497003609e+08 3.3804686563932002e+08 3.3864296834818566e+08 3.3935789101309574e+08 3.4020109786020488e+08 3.4118981287978971e+08 3.4234697446537822e+08 3.4369918518328345e+08 3.4527659065007353e+08 3.4711303426363611e+08 3.4924615890110838e+08 3.5171736622260559e+08 3.5457156311408573e+08 3.5785652708593374e+08 3.6162185112641644e+08 3.6591722427566230e+08 3.7078994420404398e+08 3.7628130917663652e+08 3.8290575541600305e+08 3.9029516251881933e+08 3.9843166422669166e+08 4.0725117276791364e+08 4.1663026174306661e+08 4.2637487411275715e+08 4.3621443730668187e+08 4.4580585172357017e+08 4.5475217090088350e+08 4.6263408877833885e+08 4.6905270957813978e+08 4.7371010596063006e+08 4.7645976532196593e+08 4.7727224112658930e+08 4.7627892555577350e+08 4.7374798033584005e+08 4.7001344829072773e+08 4.6543601701464796e+08 4.6034583194269174e+08 4.5504538977362269e+08 4.4974872041735911e+08 4.4463759954548472e+08 4.3980849079211962e+08 4.3535595716544926e+08 4.3130602398972851e+08 4.2766811985509610e+08 4.2445525991395831e+08 4.2163855484934330e+08 4.1918156051211971e+08 4.1706733393948138e+08 4.1524203375339955e+08 4.1368994437936103e+08 4.1237321110727048e+08 4.1127118020170254e+08 4.1033849597372907e+08 4.0952336633261043e+08 4.0880412919947463e+08 4.0814988592944181e+08 4.0751455795839453e+08 4.0705914717740428e+08 4.0659741488158453e+08 4.0612547000331551e+08 4.0563084842928976e+08 4.0512050323041338e+08 4.0457830673207617e+08 4.0403010810004598e+08 4.0341594344297081e+08 4.0275868332067484e+08 4.0204624004308951e+08 4.0126917483671361e+08 4.0041601766052133e+08 3.9947384749152887e+08 3.9842258454947650e+08 3.9727202760523868e+08 3.9596783019380552e+08 3.9450564185979658e+08 3.9286425165731454e+08 3.9102083271433127e+08 3.8895184508251822e+08 3.8663367661732286e+08 3.8403875334382427e+08 3.8117799342464232e+08 3.7799092401340210e+08 3.7449293123177248e+08 3.7069210527219999e+08 3.6661825628158659e+08 3.6232210360245872e+08 3.5790018544101721e+08 3.5349481477924126e+08 3.4934808027267683e+08 3.4574627520812428e+08 3.4315681741854256e+08 3.4222380961011302e+08 3.4388785689322591e+08 3.4951330123218066e+08 3.6116791174494672e+08 3.8212408667119062e+08 4.1790868517925578e+08 2.1640204012359336e+08 +5.1428476158719816e+00 3.3602506494880515e+08 3.3599674596061832e+08 3.3594927894828433e+08 3.3589006215997154e+08 3.3583757982693744e+08 3.3581846754213178e+08 3.3584368691739297e+08 3.3589373909906954e+08 3.3595007301526713e+08 3.3601043508735174e+08 3.3607874579011399e+08 3.3615688092926794e+08 3.3624620275928801e+08 3.3634874393205076e+08 3.3646705622145975e+08 3.3660396460059744e+08 3.3676294222962183e+08 3.3694827427182668e+08 3.3716503641744161e+08 3.3741912859612232e+08 3.3771743997980678e+08 3.3806798141354221e+08 3.3848062419364816e+08 3.3897199442193347e+08 3.3956702022103691e+08 3.4028065062798911e+08 3.4112232044858342e+08 3.4210921073292708e+08 3.4326420751883870e+08 3.4461385092612070e+08 3.4618821222677171e+08 3.4802104622548664e+08 3.5014989013670415e+08 3.5261601959784323e+08 3.5546419129994547e+08 3.5874200389263666e+08 3.6249883799017358e+08 3.6678413151457876e+08 3.7164488733281463e+08 3.7712206097483712e+08 3.8372832719403100e+08 3.9109598092776561e+08 3.9920655770181894e+08 4.0799535072001565e+08 4.1733834562748945e+08 4.2704100794916630e+08 4.3683250552613211e+08 4.4636982269588304e+08 4.5525656129806083e+08 4.6307450518249732e+08 4.6942639627093554e+08 4.7401633063032186e+08 4.7669996872865105e+08 4.7744996570255643e+08 4.7639938985099906e+08 4.7381748888184601e+08 4.7003875934559774e+08 4.6542378612350446e+08 4.6030222304611123e+08 4.5497582611961299e+08 4.4965784368688673e+08 4.4452926543099833e+08 4.3968589262227845e+08 4.3522168516460866e+08 4.3116221315554339e+08 4.2751653675997615e+08 4.2429735534420568e+08 4.2147556872459966e+08 4.1901455504557806e+08 4.1689720973148090e+08 4.1506959449494052e+08 4.1351585346018100e+08 4.1219803314231515e+08 4.1109536063370734e+08 4.1016237419444442e+08 4.0934720162770844e+08 4.0862807144957846e+08 4.0797401220229030e+08 4.0733892075005502e+08 4.0688369767443568e+08 4.0642216154902047e+08 4.0595041969431973e+08 4.0545601184243864e+08 4.0494588744509220e+08 4.0440392942293870e+08 4.0385595654772884e+08 4.0324205755911583e+08 4.0258508167566037e+08 4.0187294641630483e+08 4.0109621707494956e+08 4.0024342855403638e+08 3.9930166539918506e+08 3.9825086028879374e+08 3.9710078888669270e+08 3.9579715453574228e+08 3.9433559735145587e+08 3.9269491552907532e+08 3.9085229203388792e+08 3.8878419706315547e+08 3.8646702864928132e+08 3.8387322836785984e+08 3.8101369150815165e+08 3.7782799668856764e+08 3.7433151250180238e+08 3.7053232565405256e+08 3.6646023344106287e+08 3.6216593334315586e+08 3.5774592195707411e+08 3.5334245429485530e+08 3.4919749798267019e+08 3.4559724623903817e+08 3.4300890540369838e+08 3.4207630383261186e+08 3.4373963470821607e+08 3.4936265349304813e+08 3.6101223973579931e+08 3.8195938620958149e+08 4.1772854678126168e+08 2.1594850629604229e+08 +5.1478159386462394e+00 3.3695207995765668e+08 3.3692365751676935e+08 3.3687601656429374e+08 3.3681657089199513e+08 3.3676385840794355e+08 3.3674459757397521e+08 3.3676978759086478e+08 3.3681986613750577e+08 3.3687621683432424e+08 3.3693657098856723e+08 3.3700485424051225e+08 3.3708294089700764e+08 3.3717218836959040e+08 3.3727462497856492e+08 3.3739279822088033e+08 3.3752952760301495e+08 3.3768827971486872e+08 3.3787333227830291e+08 3.3808975229798257e+08 3.3834342920633000e+08 3.3864123976664460e+08 3.3899117962440443e+08 3.3940309789353204e+08 3.3989358232156307e+08 3.4048752473058385e+08 3.4119985511406457e+08 3.4203997876543701e+08 3.4302503361758262e+08 3.4417785311658227e+08 3.4552491466546702e+08 3.4709621489014161e+08 3.4892541967043144e+08 3.5104996020058012e+08 3.5351098571694845e+08 3.5635310232563794e+08 3.5962372943543404e+08 3.6337203493376619e+08 3.6764720534481192e+08 3.7249594856940603e+08 3.7795887743042845e+08 3.8454690101830351e+08 3.9189273428289098e+08 3.9997731612996256e+08 4.0873532323880446e+08 4.1804215687791288e+08 4.2770280987393230e+08 4.3744619628010035e+08 4.4692939085683411e+08 4.5575655018382037e+08 4.6351055339592558e+08 4.6979578323801672e+08 4.7431835906008190e+08 4.7693611062887609e+08 4.7762378783905435e+08 4.7651612622579753e+08 4.7388345003834927e+08 4.7006070114517623e+08 4.6540835519902861e+08 4.6025557018842757e+08 4.5490335921302307e+08 4.4956418848410660e+08 4.4441826213304102e+08 4.3956072016053200e+08 4.3508492063595879e+08 4.3101597982243538e+08 4.2736259077224433e+08 4.2413713822592431e+08 4.2131031219897288e+08 4.1884531413776523e+08 4.1672487867160350e+08 4.1489497141210294e+08 4.1333959690658063e+08 4.1202070359985936e+08 4.1091740008060628e+08 4.0998411934313881e+08 4.0916890980276316e+08 4.0844989119844466e+08 4.0779601979674381e+08 4.0716116832343751e+08 4.0670613535423982e+08 4.0624479780838901e+08 4.0577326142873901e+08 4.0527906986377454e+08 4.0476916891372162e+08 4.0422745216180927e+08 4.0367970793358612e+08 4.0306607779712522e+08 4.0240938955942267e+08 4.0169756601218241e+08 4.0092117656518447e+08 4.0006876112420464e+08 3.9912740986965686e+08 3.9807706802708060e+08 3.9692748818326551e+08 3.9562442365829289e+08 3.9416350520929539e+08 3.9252354028189301e+08 3.9068172179904884e+08 3.8861453022463191e+08 3.8629837389032340e+08 3.8370571005026275e+08 3.8084741114164203e+08 3.7766310745174193e+08 3.7416815001190358e+08 3.7037062200019741e+08 3.6630030770604211e+08 3.6200788248462892e+08 3.5758980082154739e+08 3.5318825900689960e+08 3.4904510245139813e+08 3.4544642271966618e+08 3.4285921227554333e+08 3.4192702176684219e+08 3.4358962759428704e+08 3.4921019163076824e+08 3.6085469311428130e+08 3.8179270234678209e+08 4.1754623930442405e+08 2.1549535106405473e+08 +5.1527842614204973e+00 3.3787558728483135e+08 3.3784705773397136e+08 3.3779924225610805e+08 3.3773956871998703e+08 3.3768662597935927e+08 3.3766721693097669e+08 3.3769237737241453e+08 3.3774248169494134e+08 3.3779884851765794e+08 3.3785919405704677e+08 3.3792744907388318e+08 3.3800548635791487e+08 3.3809465846361923e+08 3.3819698935963213e+08 3.3831502223772651e+08 3.3845157110524321e+08 3.3861009594456249e+08 3.3879486699119979e+08 3.3901094250701439e+08 3.3926420136459863e+08 3.3956150784460998e+08 3.3991084230599523e+08 3.4032203157644731e+08 3.4081162487283462e+08 3.4140447744483966e+08 3.4211550008097041e+08 3.4295406846846861e+08 3.4393727724869144e+08 3.4508790704158759e+08 3.4643237226388144e+08 3.4800059459676892e+08 3.4982615066567135e+08 3.5194636528989875e+08 3.5440226092953438e+08 3.5723829272073221e+08 3.6050170045336628e+08 3.6424143894312251e+08 3.6850644304026937e+08 3.7334312552452701e+08 3.7879175654559219e+08 3.8536147538222444e+08 3.9268542165119284e+08 4.0074393924125516e+08 4.0947109081572324e+08 4.1874169684676522e+08 4.2836028219844377e+08 4.3805551292401600e+08 4.4748456066651565e+08 4.5625214314768749e+08 4.6394224011461407e+08 4.7016087820366818e+08 4.7461619987348056e+08 4.7716820037673968e+08 4.7779371742762327e+08 4.7662914491746348e+08 4.7394587421541703e+08 4.7007928412990558e+08 4.6538973460987139e+08 4.6020588359772497e+08 4.5482799910429901e+08 4.4946776466684407e+08 4.4430459931564283e+08 4.3943298288685745e+08 4.3494567288946491e+08 4.3086733314990592e+08 4.2720629091697562e+08 4.2397461746736032e+08 4.2114279408137125e+08 4.1867384651344252e+08 4.1655034941458750e+08 4.1471817310037386e+08 4.1316118326655018e+08 4.1184123098999619e+08 4.1073730702247971e+08 4.0980373987537938e+08 4.0898849929314381e+08 4.0826959686587805e+08 4.0761591711813271e+08 4.0698130907095480e+08 4.0652646860025865e+08 4.0606533203306514e+08 4.0559400356991518e+08 4.0510003084724957e+08 4.0459035597883874e+08 4.0404888328014678e+08 4.0350137057794809e+08 4.0288801246425331e+08 4.0223161526644474e+08 4.0152010711041123e+08 4.0074406157114840e+08 3.9989202361648262e+08 3.9895108912929165e+08 3.9790121596949083e+08 3.9675213367614537e+08 3.9544964571576571e+08 3.9398937355697614e+08 3.9235013400642151e+08 3.9050913006232631e+08 3.8844285257655418e+08 3.8612772030265319e+08 3.8353620630003989e+08 3.8067916017408109e+08 3.7749626408703846e+08 3.7400285147424012e+08 3.7020700194409609e+08 3.6613848662661421e+08 3.6184795848818064e+08 3.5743182940500861e+08 3.5303223619532418e+08 3.4889090087289286e+08 3.4529381177038288e+08 3.4270774510084492e+08 3.4177597046071452e+08 3.4343784263350129e+08 3.4905592284245658e+08 3.6069527931812203e+08 3.8162404295218486e+08 4.1736177135510433e+08 2.1504257704029050e+08 +5.1577525841947551e+00 3.3879557155019581e+08 3.3876693740783548e+08 3.3871894969585258e+08 3.3865904975225955e+08 3.3860587814914060e+08 3.3858632109290111e+08 3.3861145171344006e+08 3.3866158122461110e+08 3.3871796351825017e+08 3.3877829974651086e+08 3.3884652574786484e+08 3.3892451277192873e+08 3.3901360850575703e+08 3.3911583254453665e+08 3.3923372374749678e+08 3.3937009058902133e+08 3.3952838640891039e+08 3.3971287391004223e+08 3.3992860255585533e+08 3.4018144059673482e+08 3.4047823975622660e+08 3.4082696502051347e+08 3.4123742082713133e+08 3.4172611768846345e+08 3.4231787401137269e+08 3.4302758121683294e+08 3.4386458529491973e+08 3.4484593742114222e+08 3.4599436515614474e+08 3.4733621966393948e+08 3.4890134738248581e+08 3.5072323535779154e+08 3.5283910168132019e+08 3.5528984166482562e+08 3.5811975909402275e+08 3.6137591376572245e+08 3.6510704708412725e+08 3.6936184195530415e+08 3.7418641588894463e+08 3.7962069640264934e+08 3.8617204885852492e+08 3.9347404217755693e+08 4.0150642684467161e+08 4.1020265401920092e+08 4.1943696696261936e+08 4.2901342730792278e+08 4.3866045888345492e+08 4.4803533665074909e+08 4.5674334584033501e+08 4.6436957208900201e+08 4.7052168894120401e+08 4.7490986173760456e+08 4.7739624736200869e+08 4.7795976438960445e+08 4.7673845618655479e+08 4.7400477184079295e+08 4.7009451875555217e+08 4.6536793473545051e+08 4.6015317351128501e+08 4.5474975585062408e+08 4.4936858209722030e+08 4.4418828664685255e+08 4.3930269028346843e+08 4.3480395123802114e+08 4.3071628229776937e+08 4.2704764621954739e+08 4.2380980197790134e+08 4.2097302318125767e+08 4.1850016089737797e+08 4.1637363061392784e+08 4.1453920815485376e+08 4.1298062108765930e+08 4.1165962382143134e+08 4.1055508993772864e+08 4.0962124424640071e+08 4.0880597853482562e+08 4.0808719687109762e+08 4.0743371257177830e+08 4.0679935138413674e+08 4.0634470579426807e+08 4.0588377259617990e+08 4.0541265448162752e+08 4.0491890314569002e+08 4.0440945698323840e+08 4.0386823110928744e+08 4.0332095280038363e+08 4.0270786986835933e+08 4.0205176709068346e+08 4.0134057799025631e+08 4.0056488035598361e+08 3.9971322427702165e+08 3.9877271140461498e+08 3.9772331232021582e+08 3.9657473354612434e+08 3.9527282886195260e+08 3.9381321051872593e+08 3.9217470479298133e+08 3.9033452487569189e+08 3.8826917212846845e+08 3.8595507584831107e+08 3.8336472502561790e+08 3.8050894645522469e+08 3.7732747437792850e+08 3.7383562460026735e+08 3.7004147311976659e+08 3.6597477775194883e+08 3.6168616881492889e+08 3.5727201507766944e+08 3.5287439313917965e+08 3.4873490044129741e+08 3.4513942051093924e+08 3.4255451094602972e+08 3.4162315696151268e+08 3.4328428690758282e+08 3.4889985432582504e+08 3.6053400578517830e+08 3.8145341589487964e+08 4.1717515153888845e+08 2.1459018682000205e+08 +5.1627209069690130e+00 3.3971203644407523e+08 3.3968329967113990e+08 3.3963513550112998e+08 3.3957500994828576e+08 3.3952161056134224e+08 3.3950190564268219e+08 3.3952700614408892e+08 3.3957716025944144e+08 3.3963355736671013e+08 3.3969388358990073e+08 3.3976207979843003e+08 3.3984001567837238e+08 3.3992903403903592e+08 3.4003115008103377e+08 3.4014889830386591e+08 3.4028508161431676e+08 3.4044314667691547e+08 3.4062734861413991e+08 3.4084272803550988e+08 3.4109514250721258e+08 3.4139143112204552e+08 3.4173954340813780e+08 3.4214926130964398e+08 3.4263705646096921e+08 3.4322771015620011e+08 3.4393609428929311e+08 3.4477152506078947e+08 3.4575101000823402e+08 3.4689722340134311e+08 3.4823645288648337e+08 3.4979846936270761e+08 3.5161666997246403e+08 3.5372816573018581e+08 3.5617372443181628e+08 3.5899749813379043e+08 3.6224636627097088e+08 3.6596885650180781e+08 3.7021339952341229e+08 3.7502581743230718e+08 3.8044569516298085e+08 3.8697862009941018e+08 3.9425859508687079e+08 4.0226477882612199e+08 4.1093001349403799e+08 4.2012796872897923e+08 4.2966224765995568e+08 4.3926103765342420e+08 4.4858172340208876e+08 4.5723016397293246e+08 4.6479255612592435e+08 4.7087822327316129e+08 4.7519935336079502e+08 4.7762026100986004e+08 4.7812193867568260e+08 4.7684407031757057e+08 4.7406015336055547e+08 4.7010641549072552e+08 4.6534296596586061e+08 4.6009745017326140e+08 4.5466863951535773e+08 4.4926665064179528e+08 4.4406933379734969e+08 4.3916985183599728e+08 4.3465976499673164e+08 4.3056283642802209e+08 4.2688666570697516e+08 4.2364270066741407e+08 4.2080100830762035e+08 4.1832426601353043e+08 4.1619473092329413e+08 4.1435808517053926e+08 4.1279791891674674e+08 4.1147589060276836e+08 4.1037075730459398e+08 4.0943664091017413e+08 4.0862135596255654e+08 4.0790269963300711e+08 4.0724941456211156e+08 4.0661530365439898e+08 4.0616085531819093e+08 4.0570012786967564e+08 4.0522922252583474e+08 4.0473569511119503e+08 4.0422648026886964e+08 4.0368550397973555e+08 4.0313846292065603e+08 4.0252565831586468e+08 4.0186985332523286e+08 4.0115898693028212e+08 4.0038364118227375e+08 3.9953237135031772e+08 3.9859228492084289e+08 3.9754336528410077e+08 3.9639529597297782e+08 3.9509398124996340e+08 3.9363502421759295e+08 3.9199726073121995e+08 3.9015791429101825e+08 3.8809349688958597e+08 3.8578044848811376e+08 3.8319127413443565e+08 3.8033677783407003e+08 3.7715674610786515e+08 3.7366647710150856e+08 3.6987404315940124e+08 3.6580918863133001e+08 3.6152252092549294e+08 3.5711036520920992e+08 3.5271473711750156e+08 3.4857710835022980e+08 3.4498325606045049e+08 3.4239951687706727e+08 3.4146858831574482e+08 3.4312896749720782e+08 3.4874199327762061e+08 3.6037087995202827e+08 3.8128082904306382e+08 4.1698638846104789e+08 2.1413818298108360e+08 +5.1676892297432708e+00 3.4062497216389531e+08 3.4059613037055218e+08 3.4054779706469989e+08 3.4048744535504913e+08 3.4043381882623321e+08 3.4041396623262906e+08 3.4043903627358443e+08 3.4048921440985411e+08 3.4054562567267555e+08 3.4060594119771206e+08 3.4067410684002990e+08 3.4075199069359332e+08 3.4084093068472534e+08 3.4094293759520048e+08 3.4106054153834981e+08 3.4119653982082158e+08 3.4135437239509821e+08 3.4153828675989574e+08 3.4175331461392337e+08 3.4200530277908707e+08 3.4230107764171630e+08 3.4264857318776035e+08 3.4305754876616758e+08 3.4354443696030921e+08 3.4413398168426776e+08 3.4484103514397246e+08 3.4567488366061050e+08 3.4665249096191686e+08 3.4779647779702228e+08 3.4913306803068233e+08 3.5069195673091704e+08 3.5250645081415379e+08 3.5461355387196529e+08 3.5705390581815451e+08 3.5987150660698086e+08 3.6311305494754219e+08 3.6682686442087775e+08 3.7106111325732738e+08 3.7586132800413358e+08 3.8126675106733376e+08 3.8778118783625257e+08 3.9503907968133980e+08 4.0301899514895308e+08 4.1165316996217179e+08 4.2081470372334743e+08 4.3030674578421342e+08 4.3985725279861534e+08 4.4912372557748383e+08 4.5771260331800020e+08 4.6521119908593446e+08 4.7123048907106817e+08 4.7548468349435645e+08 4.7784025078073144e+08 4.7828025026479113e+08 4.7694599761738521e+08 4.7411202923918390e+08 4.7011498481814128e+08 4.6531483870177078e+08 4.6003872383691663e+08 4.5458466016682351e+08 4.4916198017175871e+08 4.4394775044113261e+08 4.3903447703200567e+08 4.3451312348140001e+08 4.3040700470275187e+08 4.2672335840668207e+08 4.2347332244539744e+08 4.2062675827017760e+08 4.1814617058666795e+08 4.1601365899597830e+08 4.1417481274201071e+08 4.1261308530085236e+08 4.1129003984250313e+08 4.1018431760122597e+08 4.0924993832031482e+08 4.0843464001026112e+08 4.0771611356952703e+08 4.0706303149311846e+08 4.0642917427190769e+08 4.0597492555340534e+08 4.0551440622528630e+08 4.0504371606476742e+08 4.0455041509599108e+08 4.0404143417668211e+08 4.0350071022206551e+08 4.0295390925715125e+08 4.0234138611273646e+08 4.0168588226232636e+08 4.0097534220811409e+08 4.0020035231172681e+08 3.9934947308097237e+08 3.9840981790304083e+08 3.9736138306359524e+08 3.9621382913732928e+08 3.9491311103303683e+08 3.9345482277613616e+08 3.9181780990931463e+08 3.8997930635883033e+08 3.8791583486771631e+08 3.8560384618252110e+08 3.8301586153418756e+08 3.8016266215856236e+08 3.7698408705918717e+08 3.7349541668832237e+08 3.6970471969610465e+08 3.6564172681299776e+08 3.6135702227967280e+08 3.5694688716808909e+08 3.5255327540853447e+08 3.4841753179214203e+08 3.4482532553747940e+08 3.4224276995926499e+08 3.4131227156972891e+08 3.4297189148311782e+08 3.4858234689425892e+08 3.6020590925455523e+08 3.8110629026431584e+08 4.1679549072595555e+08 2.1368656808412179e+08 +5.1726575525175287e+00 3.4153437642715365e+08 3.4150543478843755e+08 3.4145692964442748e+08 3.4139635229015625e+08 3.4134249852011162e+08 3.4132249856375384e+08 3.4134753778832895e+08 3.4139773936427081e+08 3.4145416412410575e+08 3.4151446825908214e+08 3.4158260256473988e+08 3.4166043351343411e+08 3.4174929414179492e+08 3.4185119079111207e+08 3.4196864916104656e+08 3.4210446092462319e+08 3.4226205928911632e+08 3.4244568408292717e+08 3.4266035803863311e+08 3.4291191717254514e+08 3.4320717509259236e+08 3.4355405015711468e+08 3.4396227901758051e+08 3.4444825503550124e+08 3.4503668447848111e+08 3.4574239970495927e+08 3.4657465706713933e+08 3.4755037631287354e+08 3.4869212444180095e+08 3.5002606127559364e+08 3.5158180575963610e+08 3.5339257426606768e+08 3.5549526261988664e+08 3.5793038249016225e+08 3.6074178136019206e+08 3.6397597685199291e+08 3.6768106814488500e+08 3.7190498074885386e+08 3.7669294553257990e+08 3.8208386243522823e+08 3.8857975087817758e+08 3.9581549534116989e+08 4.0376907585532635e+08 4.1237212422089517e+08 4.2149717359892136e+08 4.3094692428285617e+08 4.4044910795190215e+08 4.4966134789912742e+08 4.5819066970751458e+08 4.6562550788511962e+08 4.7157849425356179e+08 4.7576586092944884e+08 4.7805622616972744e+08 4.7843470916405016e+08 4.7704424841518122e+08 4.7416040995753402e+08 4.7012023723369700e+08 4.6528356335376173e+08 4.5997700476239377e+08 4.5449782787989724e+08 4.4905458056209779e+08 4.4382354625564533e+08 4.3889657535996652e+08 4.3436403600932819e+08 4.3024879628558594e+08 4.2655773334536880e+08 4.2330167622215176e+08 4.2045028187855381e+08 4.1796588334075165e+08 4.1583042348455590e+08 4.1398939946283734e+08 4.1242612878541052e+08 4.1110208004770744e+08 4.0999577930420470e+08 4.0906114492999411e+08 4.0824583911136788e+08 4.0752744709766924e+08 4.0687457176728368e+08 4.0624097162644970e+08 4.0578692487963867e+08 4.0532661603320712e+08 4.0485614345910001e+08 4.0436307144986260e+08 4.0385432704698533e+08 4.0331385816474026e+08 4.0276730012773573e+08 4.0215506156411290e+08 4.0149986219361627e+08 4.0078965210094583e+08 4.0001502200540578e+08 3.9916453771222067e+08 3.9822531857513833e+08 3.9717737386119562e+08 3.9603034121666622e+08 3.9473022636231685e+08 3.9327261431605178e+08 3.9163636041527534e+08 3.8979870912911248e+08 3.8773619407064962e+08 3.8542527689149541e+08 3.8283849513054413e+08 3.7998660727587974e+08 3.7680950501352483e+08 3.7332245107046491e+08 3.6953351036072868e+08 3.6547239984457415e+08 3.6118968033682269e+08 3.5678158832260495e+08 3.5239001528971946e+08 3.4825617795905221e+08 3.4466563606002164e+08 3.4208427725723362e+08 3.4115421376872617e+08 3.4281306594462281e+08 3.4842092237065691e+08 3.6003910112854141e+08 3.8092980742551857e+08 4.1660246693670869e+08 2.1323534467244601e+08 +5.1776258752917865e+00 3.4244024577826649e+08 3.4241120192054033e+08 3.4236252727223271e+08 3.4230172560785878e+08 3.4224764525981075e+08 3.4222749838638633e+08 3.4225250645344710e+08 3.4230273088749796e+08 3.4235916848662627e+08 3.4241946054078424e+08 3.4248756274254787e+08 3.4256533991017377e+08 3.4265412018817127e+08 3.4275590545088911e+08 3.4287321695971519e+08 3.4300884072090626e+08 3.4316620316196531e+08 3.4334953639639336e+08 3.4356385413421744e+08 3.4381498152681559e+08 3.4410971932994080e+08 3.4445597019084048e+08 3.4486344796198100e+08 3.4534850661329800e+08 3.4593581449968511e+08 3.4664018397476208e+08 3.4747084133184648e+08 3.4844466216954654e+08 3.4958415951210141e+08 3.5091542887765604e+08 3.5246801280000925e+08 3.5427503679048735e+08 3.5637328856621486e+08 3.5880315119376189e+08 3.6160831931828183e+08 3.6483512911990041e+08 3.6853146505615580e+08 3.7274499966906840e+08 3.7752066802436674e+08 3.8289702766467220e+08 3.8937430811303699e+08 3.9658784152509409e+08 4.0451502106228149e+08 4.1308687714320779e+08 4.2217538008170670e+08 4.3158278582931668e+08 4.4103660681532997e+08 4.5019459515394890e+08 4.5866436903283519e+08 4.6603548949263781e+08 4.7192224678774381e+08 4.7604289449991536e+08 4.7826819670652688e+08 4.7858532540894949e+08 4.7713883306278640e+08 4.7420530601457691e+08 4.7012218324695545e+08 4.6524915034202248e+08 4.5991230321660757e+08 4.5440815273429233e+08 4.4894446169118106e+08 4.4369673092033124e+08 4.3875615631194854e+08 4.3421251189927828e+08 4.3008822034015501e+08 4.2638979955187917e+08 4.2312777090688819e+08 4.2027158794125527e+08 4.1778341299901801e+08 4.1564503304115003e+08 4.1380185392554134e+08 4.1223705791503096e+08 4.1091201972413427e+08 4.0980515088916993e+08 4.0887026919018954e+08 4.0805496169809270e+08 4.0733670863299322e+08 4.0668404378685331e+08 4.0605070410663062e+08 4.0559686167602134e+08 4.0513676566358107e+08 4.0466651306840771e+08 4.0417367252294493e+08 4.0366516721868157e+08 4.0312495613612843e+08 4.0257864384860837e+08 4.0196669297409087e+08 4.0131180140983355e+08 4.0060192488433385e+08 3.9982765852290821e+08 3.9897757348621857e+08 3.9803879516004223e+08 3.9699134587827182e+08 3.9584484038903117e+08 3.9454533538873535e+08 3.9308840695796829e+08 3.9145292033608180e+08 3.8961613065031302e+08 3.8755458250397164e+08 3.8524474857325155e+08 3.8265918282856005e+08 3.7980862103234613e+08 3.7663300775187618e+08 3.7314758795642406e+08 3.6936042278364992e+08 3.6530121527250266e+08 3.6102050255467480e+08 3.5661447603963405e+08 3.5222496403732210e+08 3.4809305404203111e+08 3.4450419474495018e+08 3.4192404583413613e+08 3.4099442195708281e+08 3.4265249796046466e+08 3.4825772690167665e+08 3.5987046300827450e+08 3.8075138839245260e+08 4.1640732569605577e+08 2.1278451527217835e+08 +5.1825941980660444e+00 3.4334257606277353e+08 3.4331342815448993e+08 3.4326458354455525e+08 3.4320356180623919e+08 3.4314925486768013e+08 3.4312896151617450e+08 3.4315393811096424e+08 3.4320418482182002e+08 3.4326063460341096e+08 3.4332091388737643e+08 3.4338898322152764e+08 3.4346670573504287e+08 3.4355540467790574e+08 3.4365707743408424e+08 3.4377424079980731e+08 3.4390967508198249e+08 3.4406679989454812e+08 3.4424983959066504e+08 3.4446379880356246e+08 3.4471449175882041e+08 3.4500870628744847e+08 3.4535432924200428e+08 3.4576105157637328e+08 3.4624518769818634e+08 3.4683136778700435e+08 3.4753438403318101e+08 3.4836343258311087e+08 3.4933534471883988e+08 3.5047257926238734e+08 3.5180116717168379e+08 3.5335057428088331e+08 3.5515383492681861e+08 3.5724762838107479e+08 3.5967220875208491e+08 3.6247111748488557e+08 3.6569050896571922e+08 3.6937805261525440e+08 3.7358116776646078e+08 3.7834449356466448e+08 3.8370624523146188e+08 3.9016485850621021e+08 3.9735611776852322e+08 4.0525683096458763e+08 4.1379742967824322e+08 4.2284932497130710e+08 4.3221433316857159e+08 4.4161975315839458e+08 4.5072347219238329e+08 4.5913370724539226e+08 4.6644115093182635e+08 4.7226175468752414e+08 4.7631579307868165e+08 4.7847617195374602e+08 4.7873210906150806e+08 4.7722976193299657e+08 4.7424672792594880e+08 4.7012083337994134e+08 4.6521161009620774e+08 4.5984462947442794e+08 4.5431564481459725e+08 4.4883163344228077e+08 4.4356731411739230e+08 4.3861322938001209e+08 4.3405856047051591e+08 4.2992528603150183e+08 4.2621956605317724e+08 4.2295161541014814e+08 4.2009068526652342e+08 4.1759876828393012e+08 4.1545749631645989e+08 4.1361218472250307e+08 4.1204588123351026e+08 4.1071986737747574e+08 4.0961244083069718e+08 4.0867731955208683e+08 4.0786201620108849e+08 4.0714390659059441e+08 4.0649145595209706e+08 4.0585838009915960e+08 4.0540474432005078e+08 4.0494486348395121e+08 4.0447483325154358e+08 4.0398222666360915e+08 4.0347396302939528e+08 4.0293401246274132e+08 4.0238794873571807e+08 4.0177628864506876e+08 4.0112170819997650e+08 4.0041216883260626e+08 3.9963827012272197e+08 3.9878858864385122e+08 3.9785025587913382e+08 3.9680330731483454e+08 3.9565733483021474e+08 3.9435844626167589e+08 3.9290220882094699e+08 3.9126749775724530e+08 3.8943157897068787e+08 3.8737100817335588e+08 3.8506226918533128e+08 3.8247793253270423e+08 3.7962871127276117e+08 3.7645460305327326e+08 3.7297083505365276e+08 3.6918546459445125e+08 3.6512818064269936e+08 3.6084949639071786e+08 3.5644555768557233e+08 3.5205812892688626e+08 3.4792816723094082e+08 3.4434100870788872e+08 3.4176208275308478e+08 3.4083290317852014e+08 3.4249019460818309e+08 3.4809276768070936e+08 3.5970000232675081e+08 3.8057104102956861e+08 4.1621007560422391e+08 2.1233408239228478e+08 +5.1875625208403022e+00 3.4424136198483437e+08 3.4421211491648591e+08 3.4416310042495638e+08 3.4410185599406934e+08 3.4404732342129952e+08 3.4402688385250914e+08 3.4405182868220699e+08 3.4410209708497900e+08 3.4415855839464885e+08 3.4421882422098869e+08 3.4428685992654198e+08 3.4436452691556907e+08 3.4445314354376578e+08 3.4455470267809683e+08 3.4467171662441456e+08 3.4480695995772660e+08 3.4496384544489366e+08 3.4514658963409966e+08 3.4536018802630794e+08 3.4561044386218619e+08 3.4590413197522438e+08 3.4624912334112549e+08 3.4665508591377628e+08 3.4713829437222165e+08 3.4772334045680797e+08 3.4842499603806388e+08 3.4925242702777863e+08 3.5022242022499579e+08 3.5135738002527785e+08 3.5268327256981099e+08 3.5422948670931941e+08 3.5602896529334408e+08 3.5811827881327015e+08 3.6053755206658971e+08 3.6333017294081956e+08 3.6654211368124896e+08 3.7022082836118168e+08 3.7441348286838901e+08 3.7916442031707323e+08 3.8451151369029868e+08 3.9095140110076410e+08 3.9812032368380201e+08 4.0599450583281803e+08 4.1450378284863877e+08 4.2351901014153695e+08 4.3284156911559671e+08 4.4219855081917256e+08 4.5124798392923987e+08 4.5959869035482889e+08 4.6684249927878451e+08 4.7259702601364720e+08 4.7658456557953346e+08 4.7868016150839496e+08 4.7887507021252650e+08 4.7731704542109698e+08 4.7428468622329229e+08 4.7011619816660279e+08 4.6517095305630451e+08 4.5977399381691909e+08 4.5422031421008676e+08 4.4871610570022279e+08 4.4343530553150433e+08 4.3846780405863625e+08 4.3390219104349977e+08 4.2976000252360302e+08 4.2604704187745208e+08 4.2277321864038193e+08 4.1990758266229630e+08 4.1741195791714013e+08 4.1526782196071118e+08 4.1342040044389457e+08 4.1185260728314877e+08 4.1052563151076710e+08 4.0941765760193652e+08 4.0848230446417266e+08 4.0766701104986316e+08 4.0694904938362736e+08 4.0629681666210705e+08 4.0566400799019420e+08 4.0521058118862170e+08 4.0475091786144543e+08 4.0428111236520356e+08 4.0378874221860683e+08 4.0328072281605035e+08 4.0274103546985066e+08 4.0219522310259098e+08 4.0158385687857729e+08 4.0092959085169458e+08 4.0022039221908933e+08 3.9944686506224930e+08 3.9859759142499822e+08 3.9765970895280057e+08 3.9661326636912650e+08 3.9546783271537161e+08 3.9416956712934732e+08 3.9271402802319533e+08 3.9108010076263547e+08 3.8924506213623065e+08 3.8718547908220184e+08 3.8487784668379730e+08 3.8229475214511681e+08 3.7944688584102744e+08 3.7627429869574875e+08 3.7279220006835186e+08 3.6900864342051685e+08 3.6495330349848729e+08 3.6067666930016565e+08 3.5627484062495983e+08 3.5188951723229891e+08 3.4776152471472061e+08 3.4417608506379265e+08 3.4159839507514483e+08 3.4066966447449923e+08 3.4232616296448863e+08 3.4792605189978081e+08 3.5952772651599991e+08 3.8038877320028824e+08 4.1601072526135385e+08 2.1188404852462423e+08 +5.1925308436145601e+00 3.4513660028698009e+08 3.4510725247139239e+08 3.4505806807858360e+08 3.4499660365781033e+08 3.4494184704488778e+08 3.4492126138454533e+08 3.4494617416568416e+08 3.4499646367101562e+08 3.4505293585809785e+08 3.4511318754037637e+08 3.4518118885986584e+08 3.4525879945795965e+08 3.4534733279528511e+08 3.4544877719686788e+08 3.4556564045333463e+08 3.4570069137555689e+08 3.4585733584858769e+08 3.4603978257241255e+08 3.4625301785980839e+08 3.4650283390846688e+08 3.4679599248160672e+08 3.4714034859588349e+08 3.4754554710614395e+08 3.4802782279505110e+08 3.4861172870315087e+08 3.4931201622461069e+08 3.5013782095035386e+08 3.5110588502965802e+08 3.5223855821087199e+08 3.5356174156268686e+08 3.5510474666947657e+08 3.5690042458536035e+08 3.5898523668853056e+08 3.6139917811721843e+08 3.6418548284598476e+08 3.6738994063686460e+08 3.7105978991093928e+08 3.7524194288016766e+08 3.7998044652246320e+08 3.8531283167259645e+08 3.9173393501714319e+08 3.9888045896037608e+08 4.0672804601332349e+08 4.1520593775264162e+08 4.2418443753783751e+08 4.3346449655665785e+08 4.4277300370168608e+08 4.5176813534206283e+08 4.6005932442901278e+08 4.6723954166192788e+08 4.7292806887336475e+08 4.7684922095587963e+08 4.7888017500010556e+08 4.7901421897779059e+08 4.7740069394248384e+08 4.7431919145542783e+08 4.7010828815423882e+08 4.6512718966966206e+08 4.5970040653155571e+08 4.5412217101541674e+08 4.4859788835437930e+08 4.4330071484875524e+08 4.3831988984340680e+08 4.3374341293916589e+08 4.2959237898154372e+08 4.2587223605195761e+08 4.2259258950615561e+08 4.1972228893510211e+08 4.1722299061955881e+08 4.1507601862277800e+08 4.1322650967954075e+08 4.1165724460515541e+08 4.1032932062664992e+08 4.0922080967474163e+08 4.0828523237413925e+08 4.0746995467266166e+08 4.0675214542353964e+08 4.0610013431457067e+08 4.0546759616356248e+08 4.0501438065595585e+08 4.0455493716119623e+08 4.0408535876532817e+08 4.0359322753313017e+08 4.0308545491326475e+08 4.0254603348121572e+08 4.0200047526167119e+08 4.0138940597447222e+08 4.0073545765089959e+08 4.0002660331564432e+08 3.9925345159670919e+08 3.9840459006758320e+08 3.9746716259984809e+08 3.9642123123870414e+08 3.9527634221816128e+08 3.9397870613776982e+08 3.9252387268099397e+08 3.9089073743558812e+08 3.8905658819150651e+08 3.8699800323285991e+08 3.8469148902253163e+08 3.8210964956724375e+08 3.7926315257927841e+08 3.7609210245647061e+08 3.7261169070512724e+08 3.6882996688895059e+08 3.6477659138301617e+08 3.6050202873762071e+08 3.5610233222125900e+08 3.5171913622652835e+08 3.4759313368036085e+08 3.4400943092560059e+08 3.4143298986008435e+08 3.4050471288637280e+08 3.4216041010407716e+08 3.4775758674957520e+08 3.5935364300685364e+08 3.8020459276593697e+08 4.1580928326519763e+08 2.1143441614400071e+08 +5.1974991663888179e+00 3.4602828789431858e+08 3.4599883711124384e+08 3.4594948808230388e+08 3.4588780012804931e+08 3.4583282170048106e+08 3.4581209018587786e+08 3.4583697063758022e+08 3.4588728065052271e+08 3.4594376306778204e+08 3.4600399992217898e+08 3.4607196610021365e+08 3.4614951944353712e+08 3.4623796851849604e+08 3.4633929708225477e+08 3.4645600838385606e+08 3.4659086543906015e+08 3.4674726721791255e+08 3.4692941452761054e+08 3.4714228443874061e+08 3.4739165804574436e+08 3.4768428397176301e+08 3.4802800119115871e+08 3.4843243136119092e+08 3.4891376920306182e+08 3.4949652879659748e+08 3.5019544090500170e+08 3.5101961071161425e+08 3.5198573555236214e+08 3.5311611030610198e+08 3.5443657071752840e+08 3.5597635082380688e+08 3.5776820957623297e+08 3.5984849891084319e+08 3.6225708396070927e+08 3.6503704443711925e+08 3.6823398728032154e+08 3.7189493495869887e+08 3.7606654578443605e+08 3.8079257049952322e+08 3.8611019788659942e+08 3.9251245945258754e+08 3.9963652336331683e+08 4.0745745192828453e+08 4.1590389556232196e+08 4.2484560917825216e+08 4.3408311844778693e+08 4.4334311577780569e+08 4.5228393147109985e+08 4.6051561559437221e+08 4.6763228526298523e+08 4.7325489141962701e+08 4.7710976820060754e+08 4.7907622209087378e+08 4.7914956550061882e+08 4.7748071793379283e+08 4.7435025418630719e+08 4.7009711390064865e+08 4.6508033039340246e+08 4.5962387791198182e+08 4.5402122532876450e+08 4.4847699129658955e+08 4.4316355175768799e+08 4.3816949623032880e+08 4.3358223547836810e+08 4.2942242456984115e+08 4.2569515760296631e+08 4.2240973691485822e+08 4.1953481289042461e+08 4.1703187511008722e+08 4.1488209494949585e+08 4.1303052101656741e+08 4.1145980173880649e+08 4.1013094322514266e+08 4.0902190551867419e+08 4.0808611172755343e+08 4.0727085549512249e+08 4.0655320312053198e+08 4.0590141730536389e+08 4.0526915300220293e+08 4.0481615109514660e+08 4.0435692974688601e+08 4.0388758080523348e+08 4.0339569095104545e+08 4.0288816765418583e+08 4.0234901481883198e+08 4.0180371352389669e+08 4.0119294423015553e+08 4.0053931688315439e+08 3.9983081039182085e+08 3.9905803798065335e+08 3.9820959280806518e+08 3.9727262503715658e+08 3.9622721011882925e+08 3.9508287150968957e+08 3.9378587143234628e+08 3.9233175090953881e+08 3.9069941585635138e+08 3.8886616518010509e+08 3.8680858862565732e+08 3.8450320415546840e+08 3.8192263269864470e+08 3.7907751932847667e+08 3.7590802211025828e+08 3.7242931466689664e+08 3.6864944262425965e+08 3.6459805183733183e+08 3.6032558215575051e+08 3.5592803983598971e+08 3.5154699318067437e+08 3.4742300131420982e+08 3.4384105340494138e+08 3.4126587416706246e+08 3.4033805545371234e+08 3.4199294310091782e+08 3.4758737941976207e+08 3.5917775922798461e+08 3.8001850758747351e+08 4.1560575821149880e+08 2.1098518770821229e+08 +5.2024674891630758e+00 3.4691641964007640e+08 3.4688686869113636e+08 3.4683735193899024e+08 3.4677544324172312e+08 3.4672024331898928e+08 3.4669936640327185e+08 3.4672421425073022e+08 3.4677454417055792e+08 3.4683103617503601e+08 3.4689125751936352e+08 3.4695918780347949e+08 3.4703668303205895e+08 3.4712504687680900e+08 3.4722625850197971e+08 3.4734281658956820e+08 3.4747747832926321e+08 3.4763363574251914e+08 3.4781548169929683e+08 3.4802798397388422e+08 3.4827691249945343e+08 3.4856900268690139e+08 3.4891207738833594e+08 3.4931573496457332e+08 3.4979612991005397e+08 3.5037773708561254e+08 3.5107526646877056e+08 3.5189779275018424e+08 3.5286196828869468e+08 3.5399003287522489e+08 3.5530775667912054e+08 3.5684429591136628e+08 3.5863231711607057e+08 3.6070806246106130e+08 3.6311126673146713e+08 3.6588485502839625e+08 3.6907425113663661e+08 3.7272626127655429e+08 3.7688728964077777e+08 3.8160079064386719e+08 3.8690361111929661e+08 3.9328697368087232e+08 4.0038851673491442e+08 4.0818272407434267e+08 4.1659765752425748e+08 4.2550252715338135e+08 4.3469743781393296e+08 4.4390889108515036e+08 4.5279537741937965e+08 4.6096757003418541e+08 4.6802073731418455e+08 4.7357750185122746e+08 4.7736621634501392e+08 4.7926831247605562e+08 4.7928111995014215e+08 4.7755712785269094e+08 4.7437788499540973e+08 4.7008268597647411e+08 4.6503038569269258e+08 4.5954441825868958e+08 4.5391748725292563e+08 4.4835342442140627e+08 4.4302382594821239e+08 4.3801663271705425e+08 4.3341866798261011e+08 4.2925014845232743e+08 4.2551581555732822e+08 4.2222466977335936e+08 4.1934516333302134e+08 4.1683862010689604e+08 4.1468605958689767e+08 4.1283244304124194e+08 4.1126028722149116e+08 4.0993050780537182e+08 4.0882095360205877e+08 4.0788495096850508e+08 4.0706972194181561e+08 4.0635223088224012e+08 4.0570067402749163e+08 4.0506868688618886e+08 4.0461590087772840e+08 4.0415690397975379e+08 4.0368778683705312e+08 4.0319614081395972e+08 4.0268886936983210e+08 4.0214998780268264e+08 4.0160494619740158e+08 4.0099447994255400e+08 4.0034117683022058e+08 3.9963302171547037e+08 3.9886063246545899e+08 3.9801260788061398e+08 3.9707610447958952e+08 3.9603121120297211e+08 3.9488742876008224e+08 3.9359107115562201e+08 3.9213767082099825e+08 3.9050614410478079e+08 3.8867380114287812e+08 3.8661724325925708e+08 3.8431300003279209e+08 3.8173370943696165e+08 3.7888999392688930e+08 3.7572206543016267e+08 3.7224507965578288e+08 3.6846707825003666e+08 3.6441769240099889e+08 3.6014733700578928e+08 3.5575197082953358e+08 3.5137309536436260e+08 3.4725113480018830e+08 3.4367095961297721e+08 3.4109705505253142e+08 3.4016969921369731e+08 3.4182376902689773e+08 3.4741543709758806e+08 3.5900008260707235e+08 3.7983052552232742e+08 4.1540015869499743e+08 2.1053636565810269e+08 +5.2074358119373336e+00 3.4780099221271813e+08 3.4777134236132962e+08 3.4772165764174592e+08 3.4765952986542130e+08 3.4760410807907426e+08 3.4758308624647343e+08 3.4760790123126560e+08 3.4765825045465821e+08 3.4771475140640855e+08 3.4777495656147707e+08 3.4784285020161229e+08 3.4792028645901340e+08 3.4800856411004966e+08 3.4810965770053780e+08 3.4822606132101703e+08 3.4836052630336457e+08 3.4851643768762714e+08 3.4869798036320835e+08 3.4891011275294638e+08 3.4915859357153863e+08 3.4945014494599217e+08 3.4979257352612460e+08 3.5019545427772373e+08 3.5067490130583942e+08 3.5125534999425006e+08 3.5195148938181376e+08 3.5277236358110523e+08 3.5373457981181782e+08 3.5486032255967349e+08 3.5617529616845018e+08 3.5770857874777329e+08 3.5949274413198203e+08 3.6156392439670885e+08 3.6396172364071608e+08 3.6672891201144350e+08 3.6991072980824274e+08 3.7355376671363199e+08 3.7770417258665895e+08 3.8240510542822331e+08 3.8769307023271215e+08 3.9405747705233037e+08 4.0113643899207270e+08 4.0890386302335799e+08 4.1728722495712960e+08 4.2615519362547988e+08 4.3530745775030714e+08 4.4447033372808433e+08 4.5330247835179836e+08 4.6141519398917305e+08 4.6840490510032487e+08 4.7389590841190982e+08 4.7761857445959812e+08 4.7945645588162112e+08 4.7940889252094728e+08 4.7762993417527920e+08 4.7440209447807115e+08 4.7006501496296006e+08 4.6497736604127902e+08 4.5946203787666219e+08 4.5381096689476818e+08 4.4822719762561321e+08 4.4288154711140686e+08 4.3786130880108428e+08 4.3325271977346772e+08 4.2907555979316366e+08 4.2533421893988681e+08 4.2203739698674077e+08 4.1915334906577063e+08 4.1664323432601905e+08 4.1448792117877555e+08 4.1263228433790332e+08 4.1105870958916408e+08 4.0972802286374670e+08 4.0861796239057344e+08 4.0768175853836936e+08 4.0686656243483424e+08 4.0614923711499506e+08 4.0549791287372291e+08 4.0486620619399071e+08 4.0441363837205386e+08 4.0395486821981847e+08 4.0348598521089149e+08 4.0299458546159947e+08 4.0248756838966006e+08 4.0194896075101483e+08 4.0140418158952868e+08 4.0079402140545475e+08 4.0014104577309448e+08 3.9943324555287772e+08 3.9866124330154306e+08 3.9781364351783323e+08 3.9687760914046973e+08 3.9583324268268210e+08 3.9469002213684458e+08 3.9339431344882971e+08 3.9194164052666444e+08 3.9031093025755340e+08 3.8847950411918467e+08 3.8642397513097960e+08 3.8412088460392660e+08 3.8154288767769587e+08 3.7870058421168280e+08 3.7553424018775028e+08 3.7205899337064445e+08 3.6828288138748938e+08 3.6423552061153942e+08 3.5996730073714352e+08 3.5557413256016159e+08 3.5119745004536599e+08 3.4707754132098359e+08 3.4349915665699995e+08 3.4092653957179201e+08 3.3999965120281565e+08 3.4165289495204568e+08 3.4724176696928221e+08 3.5882062056968349e+08 3.7964065442751127e+08 4.1519249330733186e+08 2.1008795241761166e+08 +5.2124041347115915e+00 3.4868200274918330e+08 3.4865225266749859e+08 3.4860240354321432e+08 3.4854005604370201e+08 3.4848441239167982e+08 3.4846324598756438e+08 3.4848802787786365e+08 3.4853839580288619e+08 3.4859490506483388e+08 3.4865509335415500e+08 3.4872294960301650e+08 3.4880032603623033e+08 3.4888851653384560e+08 3.4898949099905497e+08 3.4910573890476435e+08 3.4924000569543701e+08 3.4939566939577836e+08 3.4957690687102705e+08 3.4978866713977885e+08 3.5003669763968945e+08 3.5032770714385581e+08 3.5066948601872116e+08 3.5107158573899984e+08 3.5155007985709029e+08 3.5212936402402282e+08 3.5282410618631351e+08 3.5364331979557925e+08 3.5460356677132368e+08 3.5572697607663375e+08 3.5703918598418403e+08 3.5856919622572780e+08 3.6034948762821847e+08 3.6241608185283548e+08 3.6480845197689515e+08 3.6756921285422027e+08 3.7074342097416931e+08 3.7437744919518536e+08 3.7851719283549958e+08 3.8320551340206325e+08 3.8847857416601473e+08 3.9482396899310333e+08 4.0188029012732506e+08 4.0962086942177474e+08 4.1797259925378180e+08 4.2680361082736921e+08 4.3591318142016202e+08 4.4502744787543845e+08 4.5380523949457979e+08 4.6185849375624847e+08 4.6878479595678568e+08 4.7421011939022309e+08 4.7786685165217185e+08 4.7964066206623769e+08 4.7953289343285799e+08 4.7769914739913350e+08 4.7442289324386930e+08 4.7004411145254004e+08 4.6492128192021984e+08 4.5937674707722992e+08 4.5370167436381775e+08 4.4809832080858415e+08 4.4273672494016111e+08 4.3770353398060232e+08 4.3308440017210150e+08 4.2889866775498670e+08 4.2515037677466208e+08 4.2184792745938510e+08 4.1895937888979846e+08 4.1644572648211235e+08 4.1428768836727715e+08 4.1243005348825026e+08 4.1085507737486362e+08 4.0952349689526886e+08 4.0841294034842527e+08 4.0747654287732154e+08 4.0666138539420259e+08 4.0594423022235352e+08 4.0529314223317099e+08 4.0466171930229408e+08 4.0420937194554430e+08 4.0375083082422948e+08 4.0328218427381754e+08 4.0279103323156989e+08 4.0228427304074222e+08 4.0174594197953600e+08 4.0120142800450575e+08 4.0059157691071779e+08 3.9993893198995167e+08 3.9923149016771728e+08 3.9845987873625785e+08 3.9761270795008862e+08 3.9667714723064870e+08 3.9563331274716723e+08 3.9449065980584925e+08 3.9319560645073670e+08 3.9174366813563389e+08 3.9011378238991272e+08 3.8828328214619446e+08 3.8622879223486996e+08 3.8392686581595081e+08 3.8135017531490374e+08 3.7850929801775277e+08 3.7534455415243852e+08 3.7187106350887984e+08 3.6809685965543103e+08 3.6405154400425702e+08 3.5978548079659981e+08 3.5539453238462806e+08 3.5102006448966891e+08 3.4690222805715060e+08 3.4332565164436263e+08 3.4075433477832323e+08 3.3982791845535612e+08 3.4148032794497806e+08 3.4706637621908671e+08 3.5863938053890699e+08 3.7944890215721941e+08 4.1498277063841593e+08 2.0963995039382553e+08 +5.2173724574858493e+00 3.4955944773081940e+08 3.4952959715617841e+08 3.4947958016491663e+08 3.4941701743674886e+08 3.4936115273897040e+08 3.4933984196793574e+08 3.4936459055953997e+08 3.4941497659250015e+08 3.4947149352979028e+08 3.4953166427917343e+08 3.4959948239240140e+08 3.4967679815194172e+08 3.4976490054064775e+08 3.4986575479429847e+08 3.4998184574363708e+08 3.5011591291499835e+08 3.5027132728522396e+08 3.5045225765186441e+08 3.5066364357507694e+08 3.5091122115851837e+08 3.5120168575143176e+08 3.5154281135731530e+08 3.5194412586292076e+08 3.5242166210655963e+08 3.5299977575193626e+08 3.5369311350145286e+08 3.5451065806160021e+08 3.5546892589292651e+08 3.5658999022060472e+08 3.5789942300026196e+08 3.5942614531475848e+08 3.6120254468489558e+08 3.6326453204036301e+08 3.6565144910416210e+08 3.6840575510171461e+08 3.7157232238994789e+08 3.7519730672367364e+08 3.7932634867751819e+08 3.8400201319080985e+08 3.8926012193432140e+08 3.9558644900492519e+08 4.0262007020849377e+08 4.1033374398990363e+08 4.1865378188008219e+08 4.2744778106362063e+08 4.3651461205582172e+08 4.4558023776296186e+08 4.5430366613542771e+08 4.6229747568926883e+08 4.6916041726862639e+08 4.7452014311823255e+08 4.7811105706877869e+08 4.7982094081890208e+08 4.7965313293101317e+08 4.7776477803933609e+08 4.7444029191753703e+08 4.7001998604856700e+08 4.6486214381864285e+08 4.5928855617688078e+08 4.5358961977390665e+08 4.4796680387186533e+08 4.4258936912776804e+08 4.3754331775402349e+08 4.3291371849904788e+08 4.2871948150041807e+08 4.2496429808479154e+08 4.2165627009372544e+08 4.1876326160497814e+08 4.1624610528765666e+08 4.1408536979241848e+08 4.1222575907317132e+08 4.1064939911052763e+08 4.0931693839164746e+08 4.0820589593668294e+08 4.0726931242207438e+08 4.0645419923760450e+08 4.0573721860585707e+08 4.0508637049329013e+08 4.0445523458489579e+08 4.0400310996254814e+08 4.0354480014758599e+08 4.0307639237155879e+08 4.0258549245866084e+08 4.0207899164726204e+08 4.0154093980223548e+08 4.0099669374482805e+08 4.0038715474806321e+08 3.9973484375694197e+08 3.9902776382132673e+08 3.9825654701535165e+08 3.9740980940532911e+08 3.9647472695885569e+08 3.9543142958352619e+08 3.9428934993032157e+08 3.9299495829777277e+08 3.9154376175405604e+08 3.8991470857465100e+08 3.8808514325868690e+08 3.8603170256363302e+08 3.8373095161339295e+08 3.8115558024005157e+08 3.7831614317765343e+08 3.7515301509123021e+08 3.7168129776591796e+08 3.6790902067172050e+08 3.6386577011303639e+08 3.5960188462962097e+08 3.5521317765659088e+08 3.5084094596107024e+08 3.4672520218699479e+08 3.4315045167913043e+08 3.4058044772310698e+08 3.3965450800283921e+08 3.4130607507224429e+08 3.4688927202850890e+08 3.5845636993673187e+08 3.7925527656360388e+08 4.1477099927561820e+08 2.0919236197702828e+08 +5.2223407802601072e+00 3.5043331966135961e+08 3.5040337043743306e+08 3.5035318856145519e+08 3.5029040937843436e+08 3.5023432566181403e+08 3.5021287060875630e+08 3.5023758571766210e+08 3.5028798927688509e+08 3.5034451325530535e+08 3.5040466579497159e+08 3.5047244502908272e+08 3.5054969926929116e+08 3.5063771259770763e+08 3.5073844555892158e+08 3.5085437831590974e+08 3.5098824444739872e+08 3.5114340784972411e+08 3.5132402920866197e+08 3.5153503857401830e+08 3.5178216065773749e+08 3.5207207731518620e+08 3.5241254610805637e+08 3.5281307123932624e+08 3.5328964467256081e+08 3.5386658183082384e+08 3.5455850802138340e+08 3.5537437512284416e+08 3.5633065397793323e+08 3.5744936186136848e+08 3.5875600416769779e+08 3.6027942305984306e+08 3.6205191245874208e+08 3.6410927224730343e+08 3.6649071246421260e+08 3.6923853637456512e+08 3.7239743188729012e+08 3.7601333737775683e+08 3.8013163847938848e+08 3.8479460349581581e+08 3.9003771262811202e+08 3.9634491666513169e+08 4.0335577937792754e+08 4.1104248752188933e+08 4.1933077437315601e+08 4.2808770670896804e+08 4.3711175295706773e+08 4.4612870768944085e+08 4.5479776362231284e+08 4.6273214619732368e+08 4.6953177647239792e+08 4.7482598797336990e+08 4.7835119989247692e+08 4.7999730195935202e+08 4.7976962128503227e+08 4.7782683663234425e+08 4.7445430113817549e+08 4.6999264936412734e+08 4.6479996223288774e+08 4.5919747549653417e+08 4.5347481324221176e+08 4.4783265671792853e+08 4.4243948936872280e+08 4.3738066962022859e+08 4.3274068407430512e+08 4.2853801019063717e+08 4.2477599189164162e+08 4.2146243379060614e+08 4.1856500600888830e+08 4.1604437945332307e+08 4.1388097409202951e+08 4.1201940966957182e+08 4.1044168332411987e+08 4.0910835584306753e+08 4.0799683761499757e+08 4.0706007560753435e+08 4.0624501237995356e+08 4.0552821066423208e+08 4.0487760603886753e+08 4.0424676041275442e+08 4.0379486078479594e+08 4.0333678454276681e+08 4.0286861784662074e+08 4.0237797147587377e+08 4.0187173253172040e+08 4.0133396252935404e+08 4.0078998710979867e+08 4.0018076320428431e+08 3.9952878934765089e+08 3.9882207477285391e+08 3.9805125638185972e+08 3.9720495610886025e+08 3.9627035653096610e+08 3.9522760137627465e+08 3.9408610067110312e+08 3.9279237712432873e+08 3.9134192948585045e+08 3.8971371688190812e+08 3.8788509548944616e+08 3.8583271410703754e+08 3.8353314993867439e+08 3.8095911034185308e+08 3.7812112752169257e+08 3.7495963076908034e+08 3.7148970383470351e+08 3.6771937205095774e+08 3.6367820646880519e+08 3.5941651967931139e+08 3.5503007572858381e+08 3.5066010172109097e+08 3.4654647088731116e+08 3.4297356386379439e+08 3.4040488545598620e+08 3.3947942687610561e+08 3.4113014339797527e+08 3.4671046157739282e+08 3.5827159618213564e+08 3.7905978549583888e+08 4.1455718780362380e+08 2.0874518954075211e+08 +5.2273091030343650e+00 3.5130361896366119e+08 3.5127357175069451e+08 3.5122322516005331e+08 3.5116022866346353e+08 3.5110392775683475e+08 3.5108232842406082e+08 3.5110700986673075e+08 3.5115743038553071e+08 3.5121396077147424e+08 3.5127409443396991e+08 3.5134183404888660e+08 3.5141902592842370e+08 3.5150694924875718e+08 3.5160755984123486e+08 3.5172333317558008e+08 3.5185699685405922e+08 3.5201190765882391e+08 3.5219221812208694e+08 3.5240284872878331e+08 3.5264951274334949e+08 3.5293887845795858e+08 3.5327868691373843e+08 3.5367841853445500e+08 3.5415402424993908e+08 3.5472977899039757e+08 3.5542028651692283e+08 3.5623446779893327e+08 3.5718874790444046e+08 3.5830508794509220e+08 3.5960892651232201e+08 3.6112902658218020e+08 3.6289758818216234e+08 3.6495029983627921e+08 3.6732623957344258e+08 3.7006755437002963e+08 3.7321874737444276e+08 3.7682553931165785e+08 3.8093306068339193e+08 3.8558328309472609e+08 3.9081134541428560e+08 3.9709937162543380e+08 4.0408741785251516e+08 4.1174710088471752e+08 4.2000357834297514e+08 4.2872339020811599e+08 4.3770460749155754e+08 4.4667286201910132e+08 4.5528753736407030e+08 4.6316251174530125e+08 4.6989888105312538e+08 4.7512766237509251e+08 4.7858728934349644e+08 4.8016975533822095e+08 4.7988236878847361e+08 4.7788533373113155e+08 4.7446493155860645e+08 4.6996211202387673e+08 4.6473474766606009e+08 4.5910351536267585e+08 4.5335726488783187e+08 4.4769588925248998e+08 4.4228709535804415e+08 4.3721559907715344e+08 4.3256530621760696e+08 4.2835426298543149e+08 4.2458546721558267e+08 4.2126642744895267e+08 4.1836462089756840e+08 4.1584055768718719e+08 4.1367450990121323e+08 4.1181101385305923e+08 4.1023193854307032e+08 4.0889775773641729e+08 4.0778577383931178e+08 4.0684884086585248e+08 4.0603383323403889e+08 4.0531721479360700e+08 4.0466685725159204e+08 4.0403630515486848e+08 4.0358463277189779e+08 4.0312679235913748e+08 4.0265886903926069e+08 4.0216847861257678e+08 4.0166250401326609e+08 4.0112501846981210e+08 4.0058131639664805e+08 3.9997241056403345e+08 3.9932077703283632e+08 3.9861443127829701e+08 3.9784401507610613e+08 3.9699815628365558e+08 3.9606404415067554e+08 3.9502183630752391e+08 3.9388092018674409e+08 3.9258787106147754e+08 3.9113817943255097e+08 3.8951081537976664e+08 3.8768314686799300e+08 3.8563183485252017e+08 3.8333346873157477e+08 3.8076077350751668e+08 3.7792425887763488e+08 3.7476440894800723e+08 3.7129628940589219e+08 3.6752792140550923e+08 3.6348886060035503e+08 3.5922939338567364e+08 3.5484523395020807e+08 3.5047753902904797e+08 3.4636604133200938e+08 3.4279499529892659e+08 3.4022765502330357e+08 3.3930268210265481e+08 3.4095253998391455e+08 3.4652995204393196e+08 3.5808506669210219e+08 3.7886243680218202e+08 4.1434134480459952e+08 2.0829843544182801e+08 +5.2322774258086229e+00 3.5217034438774973e+08 3.5214019565318704e+08 3.5208968736559916e+08 3.5202647394538343e+08 3.5196995552177662e+08 3.5194821202280688e+08 3.5197285959707898e+08 3.5202329652370876e+08 3.5207983268339950e+08 3.5213994680470991e+08 3.5220764606273323e+08 3.5228477474414480e+08 3.5237260711255360e+08 3.5247309426543993e+08 3.5258870695251542e+08 3.5272216677171111e+08 3.5287682335780632e+08 3.5305682104618543e+08 3.5326707070625180e+08 3.5351327409651685e+08 3.5380208587767440e+08 3.5414123049211514e+08 3.5454016448988247e+08 3.5501479760839546e+08 3.5558936403460222e+08 3.5627844583384836e+08 3.5709093298520118e+08 3.5804320462524009e+08 3.5915716549296212e+08 3.6045818713679105e+08 3.6197495307859242e+08 3.6373956916339701e+08 3.6578761224670726e+08 3.6815802802505106e+08 3.7089280686109674e+08 3.7403626683482772e+08 3.7763391075591981e+08 3.8173061380679643e+08 3.8636805084042311e+08 3.9158101953371966e+08 3.9784981361330914e+08 4.0481498592250025e+08 4.1244758501983523e+08 4.2067219547139120e+08 4.2935483407604945e+08 4.3829317909419674e+08 4.4721270517968637e+08 4.5577299282903039e+08 4.6358857885221320e+08 4.7026173854621941e+08 4.7542517478645992e+08 4.7881933467823154e+08 4.8033831083575833e+08 4.7999138575856566e+08 4.7794027990862429e+08 4.7447219384460479e+08 4.6992838466081929e+08 4.6466651062931895e+08 4.5900668610583228e+08 4.5323698483381629e+08 4.4755651138109642e+08 4.4213219679115683e+08 4.3704811562274200e+08 4.3238759424747723e+08 4.2816824904326302e+08 4.2439273307416809e+08 4.2106825996560031e+08 4.1816211506375152e+08 4.1563464869498128e+08 4.1346598585328466e+08 4.1160058019605714e+08 4.1002017329032034e+08 4.0868515255597377e+08 4.0757271306325024e+08 4.0663561662613940e+08 4.0582067020906663e+08 4.0510423938730276e+08 4.0445413251071739e+08 4.0382387717730081e+08 4.0337243427986181e+08 4.0291483194448137e+08 4.0244715428658509e+08 4.0195702219626004e+08 4.0145131440896726e+08 4.0091411592888856e+08 4.0037068989938396e+08 3.9976210510903567e+08 3.9911081508084905e+08 3.9840484159141487e+08 3.9763483133558702e+08 3.9678941814992672e+08 3.9585579801854396e+08 3.9481414255606830e+08 3.9367381663241214e+08 3.9238144823822939e+08 3.9093251969315511e+08 3.8930601213287324e+08 3.8747930542187917e+08 3.8542907278516865e+08 3.8313191592938513e+08 3.8056057762034768e+08 3.7772554507034379e+08 3.7456735738802445e+08 3.7110106216695660e+08 3.6733467634528679e+08 3.6329774003411585e+08 3.5904051318749338e+08 3.5465865966907215e+08 3.5029326514193112e+08 3.4618392069273436e+08 3.4261475308175898e+08 3.4004876347004092e+08 3.3912428070803082e+08 3.4077327189009941e+08 3.4634775060241133e+08 3.5789678888097751e+08 3.7866323832665586e+08 4.1412347885739374e+08 2.0785210202043742e+08 +5.2372457485828807e+00 3.5303348468330932e+08 3.5300324213101375e+08 3.5295256876876086e+08 3.5288914184212011e+08 3.5283240535953134e+08 3.5281051810463184e+08 3.5283513157855362e+08 3.5288558437164575e+08 3.5294212567112720e+08 3.5300221959083247e+08 3.5306987775641418e+08 3.5314694240599585e+08 3.5323468288269985e+08 3.5333504552988112e+08 3.5345049635094863e+08 3.5358375091172373e+08 3.5373815166680729e+08 3.5391783471193266e+08 3.5412770124845541e+08 3.5437344147339886e+08 3.5466169634721619e+08 3.5500017363590783e+08 3.5539830592182338e+08 3.5587196159262449e+08 3.5644533384283185e+08 3.5713298289299595e+08 3.5794376765173095e+08 3.5889402116915399e+08 3.6000559160233814e+08 3.6130378321838248e+08 3.6281719982106483e+08 3.6457785278640181e+08 3.6662120699317080e+08 3.6898607548666173e+08 3.7171429169564718e+08 3.7484998832776898e+08 3.7843845001577592e+08 3.8252429644342440e+08 3.8714890566035187e+08 3.9234673430283487e+08 3.9859624242947692e+08 4.0553848395325059e+08 4.1314394093994725e+08 4.2133662751050937e+08 4.2998204089676893e+08 4.3887747126661402e+08 4.4774824166284019e+08 4.5625413554471779e+08 4.6401035409309000e+08 4.7062035653516591e+08 4.7571853371327662e+08 4.7904734518892622e+08 4.8050297836168164e+08 4.8009668253707844e+08 4.7799168575437784e+08 4.7447609867731500e+08 4.6989147791844672e+08 4.6459526163856763e+08 4.5890699806057930e+08 4.5311398320506114e+08 4.4741453301126719e+08 4.4197480336351156e+08 4.3687822875452238e+08 4.3220755748096716e+08 4.2797997752094805e+08 4.2419779848431981e+08 4.2086794023583144e+08 4.1795749729906362e+08 4.1542666118007278e+08 4.1325541057795250e+08 4.1138811726814926e+08 4.0980639608664691e+08 4.0847054878360510e+08 4.0735766373760080e+08 4.0642041131483668e+08 4.0560553171172988e+08 4.0488929283574861e+08 4.0423944019286299e+08 4.0360948484260225e+08 4.0315827366262448e+08 4.0270091164198315e+08 4.0223348192292958e+08 4.0174361055091125e+08 4.0123817203202283e+08 4.0070126320924318e+08 4.0015811590966970e+08 3.9954985511770719e+08 3.9889891175697023e+08 3.9819331396273953e+08 3.9742371339493990e+08 3.9657874992465162e+08 3.9564562633266217e+08 3.9460452829883957e+08 3.9346479816032910e+08 3.9217311678023052e+08 3.9072495836316752e+08 3.8909931520363736e+08 3.8727357917514050e+08 3.8522443588617826e+08 3.8292849946659189e+08 3.8035853056152374e+08 3.7752499392207551e+08 3.7436848384574145e+08 3.7090402980315000e+08 3.6713964447741693e+08 3.6310485229330784e+08 3.5884988651970226e+08 3.5447036022925407e+08 3.5010728731399721e+08 3.4600011613853306e+08 3.4243284430771071e+08 3.3986821783831841e+08 3.3894422971518034e+08 3.4059234617360699e+08 3.4616386442580587e+08 3.5770677016041434e+08 3.7846219791091681e+08 4.1390359853824455e+08 2.0740619160016251e+08 +5.2422140713571386e+00 3.5389304304833335e+08 3.5386270369026518e+08 3.5381186753743881e+08 3.5374822794150817e+08 3.5369127386172324e+08 3.5366924344813907e+08 3.5369382256101733e+08 3.5374429068443704e+08 3.5380083648993212e+08 3.5386090955082715e+08 3.5392852589060605e+08 3.5400552567903572e+08 3.5409317332809740e+08 3.5419341040804023e+08 3.5430869815059543e+08 3.5444174606089056e+08 3.5459588938097066e+08 3.5477525592407173e+08 3.5498473717263639e+08 3.5523001170552099e+08 3.5551770671442026e+08 3.5585551321341956e+08 3.5625283972211182e+08 3.5672551312316066e+08 3.5729768537038225e+08 3.5798389469113499e+08 3.5879296884412974e+08 3.5974119463954026e+08 3.6085036344464296e+08 3.6214571200938219e+08 3.6365576415706915e+08 3.6541243650976479e+08 3.6745108166549033e+08 3.6981037970195800e+08 3.7253200679723412e+08 3.7565990998744249e+08 3.7923915547190225e+08 3.8331410726092249e+08 3.8792584655733001e+08 3.9310848911255938e+08 3.9933865794959700e+08 4.0625791238167375e+08 4.1383616973046046e+08 4.2199687628496808e+08 4.3060501332337505e+08 4.3945748757727849e+08 4.4827947602284640e+08 4.5673097109877223e+08 4.6442784409523124e+08 4.7097474265185052e+08 4.7600774770274878e+08 4.7927133020409536e+08 4.8066376785525453e+08 4.8019826948769766e+08 4.7803956187733775e+08 4.7447665674954277e+08 4.6985140244894016e+08 4.6452101121810955e+08 4.5880446156627440e+08 4.5298827012874353e+08 4.4726996405132616e+08 4.4181492477047294e+08 4.3670594796872950e+08 4.3202520523450184e+08 4.2778945757398468e+08 4.2400067245989764e+08 4.2066547715141356e+08 4.1775077639165854e+08 4.1521660384281194e+08 4.1304279270239633e+08 4.1117363363616216e+08 4.0959061544985753e+08 4.0825395489768416e+08 4.0714063430915815e+08 4.0620323335464001e+08 4.0538842614576298e+08 4.0467238352615148e+08 4.0402278867046666e+08 4.0339313651056272e+08 4.0294215927045113e+08 4.0248503979249907e+08 4.0201786027946121e+08 4.0152825199766999e+08 4.0102308519341999e+08 4.0048646861040467e+08 3.9994360271511650e+08 3.9933566886555731e+08 3.9868507532307827e+08 3.9797985663978630e+08 3.9721066948579711e+08 3.9636615982164019e+08 3.9543353728734869e+08 3.9439300170835036e+08 3.9325387292061901e+08 3.9196288481016785e+08 3.9051550353549147e+08 3.8889073265089631e+08 3.8706597614913017e+08 3.8501793213498425e+08 3.8272322727404422e+08 3.8015464020927745e+08 3.7732261325266117e+08 3.7416779607544404e+08 3.7070519999697071e+08 3.6694283340612388e+08 3.6291020489885443e+08 3.5865752081479073e+08 3.5428034297317338e+08 3.4991961279660898e+08 3.4581463483589220e+08 3.4224927606915009e+08 3.3968602516708881e+08 3.3876253614396673e+08 3.4040976988852566e+08 3.4597830068387586e+08 3.5751501793935359e+08 3.7825932339414454e+08 4.1368171242010689e+08 2.0696070648803720e+08 +5.2471823941313964e+00 3.5474901899775040e+08 3.5471857884869576e+08 3.5466758291309780e+08 3.5460372816829360e+08 3.5454655798654413e+08 3.5452438490426123e+08 3.5454892937467253e+08 3.5459941229046524e+08 3.5465596196912998e+08 3.5471601351729167e+08 3.5478358730079174e+08 3.5486052140247267e+08 3.5494807529181230e+08 3.5504818574896604e+08 3.5516330920548552e+08 3.5529614908045888e+08 3.5545003336979562e+08 3.5562908156256956e+08 3.5583817537056863e+08 3.5608298169840312e+08 3.5637011390261459e+08 3.5670724616716081e+08 3.5710376285679680e+08 3.5757544919484156e+08 3.5814641564593196e+08 3.5883117829902154e+08 3.5963853368274426e+08 3.6058472221421498e+08 3.6169147826707894e+08 3.6298397083755165e+08 3.6449064350943118e+08 3.6624331786701560e+08 3.6827723392849964e+08 3.7063093848913109e+08 3.7334595016462833e+08 3.7646603002291667e+08 3.8003602558010429e+08 3.8410004500235766e+08 3.8869887260902780e+08 3.9386628342817426e+08 4.0007706012295091e+08 4.0697327171903306e+08 4.1452427254960626e+08 4.2265294368842882e+08 4.3122375407748675e+08 4.4003323166043276e+08 4.4880641287729055e+08 4.5720350513591868e+08 4.6484105554121667e+08 4.7132490457672405e+08 4.7629282534522194e+08 4.7949129908730268e+08 4.8082068928444016e+08 4.8029615699797803e+08 4.7808391890235126e+08 4.7447387876626235e+08 4.6980816891445601e+08 4.6444376989643455e+08 4.5869908696498430e+08 4.5285985573420703e+08 4.4712281441059965e+08 4.4165257070773566e+08 4.3653128276126349e+08 4.3184054682204264e+08 4.2759669835533816e+08 4.2380136401269513e+08 4.2046087960234809e+08 4.1754196112692183e+08 4.1500448538080484e+08 4.1282814085097587e+08 4.1095713786385149e+08 4.0937283989454657e+08 4.0803537937281227e+08 4.0692163322295678e+08 4.0598409116604060e+08 4.0516936191115409e+08 4.0445351984226549e+08 4.0380418631356823e+08 4.0317484053779387e+08 4.0272409945005435e+08 4.0226722473417765e+08 4.0180029768380612e+08 4.0131095485455269e+08 4.0080606220021790e+08 4.0026974042863286e+08 3.9972715860106933e+08 3.9911955462513024e+08 3.9846931403817093e+08 3.9776447786657250e+08 3.9699570783616233e+08 3.9615165605217689e+08 3.9521953907445031e+08 3.9417957095475650e+08 3.9304104905945951e+08 3.9175076044779903e+08 3.9030416329974192e+08 3.8868027253100139e+08 3.8685650436226296e+08 3.8480956950697207e+08 3.8251610728022206e+08 3.7994891443868923e+08 3.7711841087805307e+08 3.7396530182770514e+08 3.7050458042742836e+08 3.6674425073275137e+08 3.6271380536847550e+08 3.5846342350280339e+08 3.5408861523973763e+08 3.4973024883877337e+08 3.4562748394840616e+08 3.4206405545615155e+08 3.3950219249335974e+08 3.3857920701288980e+08 3.4022555008686513e+08 3.4579106654368007e+08 3.5732153962371165e+08 3.7805462261171073e+08 4.1345782907162207e+08 2.0651564897459817e+08 +5.2521507169056543e+00 3.5560139972546428e+08 3.5557086207311010e+08 3.5551970827803528e+08 3.5545563979676968e+08 3.5539825488863564e+08 3.5537593939596969e+08 3.5540044892859721e+08 3.5545094609295309e+08 3.5550749901358640e+08 3.5556752839741331e+08 3.5563505889701992e+08 3.5571192649030465e+08 3.5579938569207239e+08 3.5589936847502828e+08 3.5601432644432181e+08 3.5614695690633035e+08 3.5630058057784778e+08 3.5647930858161646e+08 3.5668801280841208e+08 3.5693234843282562e+08 3.5721891490866345e+08 3.5755536951423103e+08 3.5795107236681956e+08 3.5842176687623364e+08 3.5899152177395350e+08 3.5967483086203218e+08 3.6048045936201137e+08 3.6142460114706707e+08 3.6252893339099061e+08 3.6381855710474110e+08 3.6532183537436199e+08 3.6707049446702605e+08 3.6909966152123147e+08 3.7144774974162203e+08 3.7415611987053555e+08 3.7726834671795088e+08 3.8082905887016630e+08 3.8488210848522979e+08 3.8946798296648449e+08 3.9462011678798956e+08 4.0081144897121745e+08 4.0768456254898584e+08 4.1520825062640446e+08 4.2330483168560863e+08 4.3183826594941622e+08 4.4060470721600401e+08 4.4932905690635371e+08 4.5767174336076117e+08 4.6524999516578847e+08 4.7167085003783506e+08 4.7657377527096719e+08 4.7970726123683983e+08 4.8097375264547837e+08 4.8039035547667956e+08 4.7812476747231793e+08 4.7446777544708645e+08 4.6976178798529536e+08 4.6436354820895678e+08 4.5859088460355860e+08 4.5272875015259176e+08 4.4697309399841100e+08 4.4148775087034959e+08 4.3635424262704211e+08 4.3165359155678904e+08 4.2740170901662266e+08 4.2359988215227294e+08 4.2025415647569805e+08 4.1733106028802496e+08 4.1479031448881960e+08 4.1261146364468461e+08 4.1073863851138574e+08 4.0915307793139935e+08 4.0781483068111300e+08 4.0670066891920429e+08 4.0576299316460788e+08 4.0494834740431774e+08 4.0423271016492820e+08 4.0358364148857516e+08 4.0295460527733886e+08 4.0250410254553568e+08 4.0204747480046302e+08 4.0158080246118766e+08 4.0109172743517977e+08 4.0058711135609674e+08 4.0005108695653856e+08 3.9950879184885490e+08 3.9890152066513264e+08 3.9825163615728569e+08 3.9754718588383102e+08 3.9677883667128068e+08 3.9593524682316494e+08 3.9500363988187426e+08 3.9396424420471704e+08 3.9282633471973437e+08 3.9153675180929655e+08 3.9009094574221742e+08 3.8846794289625609e+08 3.8664517182905227e+08 3.8459935597497433e+08 3.8230714740987211e+08 3.7974136112145203e+08 3.7691239461148018e+08 3.7376100885062051e+08 3.7030217877046454e+08 3.6654390405554068e+08 3.6251566121687615e+08 3.5826760201010227e+08 3.5389518436456656e+08 3.4953920268617773e+08 3.4543867063703865e+08 3.4187718955543053e+08 3.3931672685095537e+08 3.3839424933588219e+08 3.4003969381738347e+08 3.4560216916912073e+08 3.5712634261642373e+08 3.7784810339642519e+08 4.1323195705983156e+08 2.0607102133393681e+08 +5.2571190396799121e+00 3.5645019208908296e+08 3.5641955639468592e+08 3.5636823851499140e+08 3.5630396193126047e+08 3.5624636162720400e+08 3.5622390392359030e+08 3.5624837820789015e+08 3.5629888906790304e+08 3.5635544460205966e+08 3.5641545117225331e+08 3.5648293766273397e+08 3.5655973793037415e+08 3.5664710152040493e+08 3.5674695558294278e+08 3.5686174687006330e+08 3.5699416654798585e+08 3.5714752802334732e+08 3.5732593400932330e+08 3.5753424652633631e+08 3.5777810896336126e+08 3.5806410680418307e+08 3.5839988034577119e+08 3.5879476536771667e+08 3.5926446331171453e+08 3.5983300093255705e+08 3.6051484959990919e+08 3.6131874315133816e+08 3.6226082876467061e+08 3.6336272621217936e+08 3.6464946828740317e+08 3.6614933732343423e+08 3.6789396399214315e+08 3.6991836225750011e+08 3.7226081142646086e+08 3.7496251406248039e+08 3.7806685843108970e+08 3.8161825394657725e+08 3.8566029660060829e+08 3.9023317685465914e+08 3.9536998880512917e+08 4.0154182459084326e+08 4.0839178552692181e+08 4.1588810526117039e+08 4.2395254231108862e+08 4.3244855179667324e+08 4.4117191800906986e+08 4.4984741285096282e+08 4.5813569153425783e+08 4.6565466975775373e+08 4.7201258680939335e+08 4.7685060615233713e+08 4.7991922608534193e+08 4.8112296796298110e+08 4.8048087535556901e+08 4.7816211824602669e+08 4.7445835752190918e+08 4.6971227033982670e+08 4.6428035669667017e+08 4.5847986483157003e+08 4.5259496351716256e+08 4.4682081272509044e+08 4.4132047495219028e+08 4.3617483705883521e+08 4.3146434874963737e+08 4.2720449870631671e+08 4.2339623588540107e+08 4.2004531665609217e+08 4.1711808265426248e+08 4.1457409985764301e+08 4.1239276970114946e+08 4.1051814413568467e+08 4.0893133806844646e+08 4.0759231729082358e+08 4.0647774983549094e+08 4.0553994776383376e+08 4.0472539101881260e+08 4.0400996287079406e+08 4.0336116255800176e+08 4.0273243907837445e+08 4.0228217689647001e+08 4.0182579832253790e+08 4.0135938293168563e+08 4.0087057805105299e+08 4.0036624096185273e+08 3.9983051648316240e+08 3.9928851073620194e+08 3.9868157525122947e+08 3.9803204993271780e+08 3.9732798892941380e+08 3.9656006421269703e+08 3.9571694033890599e+08 3.9478584789456010e+08 3.9374702962162501e+08 3.9260973804098856e+08 3.9132086700733387e+08 3.8987585894548249e+08 3.8825375179596418e+08 3.8643198656084514e+08 3.8438729950751978e+08 3.8209635558475542e+08 3.7953198812586236e+08 3.7670457226253241e+08 3.7355492488848299e+08 3.7009800269914103e+08 3.6634180096916300e+08 3.6231577995569766e+08 3.5807006376006943e+08 3.5370005768088919e+08 3.4934648158106685e+08 3.4524820205888361e+08 3.4168868545065910e+08 3.3912963527039880e+08 3.3820767012481701e+08 3.3985220812550664e+08 3.4541161572149694e+08 3.5692943431759381e+08 3.7763977357765561e+08 4.1300410494671857e+08 2.0562682582374856e+08 +5.2620873624541700e+00 3.5729538121078724e+08 3.5726465443063897e+08 3.5721317750935364e+08 3.5714869065227813e+08 3.5709087516136193e+08 3.5706827556573123e+08 3.5709271426996875e+08 3.5714323826540649e+08 3.5719979578741354e+08 3.5725977889704138e+08 3.5732722065641510e+08 3.5740395278467309e+08 3.5749121984310997e+08 3.5759094414396560e+08 3.5770556755886239e+08 3.5783777508977520e+08 3.5799087279880822e+08 3.5816895494835728e+08 3.5837687363906288e+08 3.5862026041879505e+08 3.5890568673433197e+08 3.5924077582783717e+08 3.5963483904800022e+08 3.6010353571843040e+08 3.6067085037380165e+08 3.6135123180696774e+08 3.6215338239400226e+08 3.6309340246883363e+08 3.6419285420039308e+08 3.6547670193630999e+08 3.6697314700205684e+08 3.6871372420002604e+08 3.7073333402543807e+08 3.7307012158515543e+08 3.7576513096214890e+08 3.7886156359439605e+08 3.8240360948789901e+08 3.8643460831393629e+08 3.9099445357345730e+08 3.9611589916508996e+08 4.0226818714982021e+08 4.0909494138145876e+08 4.1656383782578200e+08 4.2459607766833538e+08 4.3305461454516011e+08 4.4173486787045985e+08 4.5036148551482105e+08 4.5859535547566992e+08 4.6605508615704668e+08 4.7235012271358275e+08 4.7712332670149052e+08 4.8012720310048956e+08 4.8126834528919899e+08 4.8056772708817351e+08 4.7819598189904410e+08 4.7444563573346061e+08 4.6965962666557753e+08 4.6419420590491056e+08 4.5836603800147134e+08 4.5245850596191335e+08 4.4666598050080854e+08 4.4115075264719450e+08 4.3599307554853386e+08 4.3127282770977718e+08 4.2700507657102048e+08 4.2319043421629715e+08 4.1983436902450967e+08 4.1690303700233173e+08 4.1435585017546159e+08 4.1217206763461876e+08 4.1029566329029101e+08 4.0870762880945796e+08 4.0736784766645712e+08 4.0625288440522212e+08 4.0531496337252599e+08 4.0450050114426661e+08 4.0378528633264238e+08 4.0313675788102877e+08 4.0250835028671867e+08 4.0205833083962709e+08 4.0160220362677884e+08 4.0113604741293502e+08 4.0064751500845760e+08 4.0014345931356710e+08 3.9960803729475522e+08 3.9906632353775316e+08 3.9845972664453566e+08 3.9781056361233884e+08 3.9710689523653972e+08 3.9633939867763215e+08 3.9549674479954487e+08 3.9456617129290867e+08 3.9352793536459535e+08 3.9239126715868050e+08 3.9110311415104508e+08 3.8965891098888600e+08 3.8803770727545834e+08 3.8621695656598336e+08 3.8417340807050943e+08 3.8188373972278708e+08 3.7932080331718999e+08 3.7649495163736355e+08 3.7334705768197274e+08 3.6989205988261420e+08 3.6613794906552035e+08 3.6211416909242445e+08 3.5787081617332393e+08 3.5350324251803219e+08 3.4915209276291382e+08 3.4505608536842096e+08 3.4149855022239017e+08 3.3894092477958828e+08 3.3801947638830078e+08 3.3966310005445766e+08 3.4521941335859334e+08 3.5673082212329745e+08 3.7742964098048282e+08 4.1277428129012048e+08 2.0518306468538550e+08 +5.2670556852284278e+00 3.5813698028406006e+08 3.5810615579853207e+08 3.5805451784830850e+08 3.5798982187547892e+08 3.5793179252903122e+08 3.5790905146999621e+08 3.5793345424478143e+08 3.5798399080951375e+08 3.5804054969709933e+08 3.5810050870079273e+08 3.5816790500936741e+08 3.5824456818857008e+08 3.5833173779935974e+08 3.5843133130249107e+08 3.5854578566146308e+08 3.5867777968892151e+08 3.5883061207018971e+08 3.5900836857506877e+08 3.5921589133482325e+08 3.5945880000072402e+08 3.5974365191855651e+08 3.6007805319900328e+08 3.6047129067050606e+08 3.6093898138762403e+08 3.6150506742391324e+08 3.6218397485076904e+08 3.6298437450709832e+08 3.6392231973444188e+08 3.6501931489961004e+08 3.6630025567585176e+08 3.6779326212988049e+08 3.6952977292106920e+08 3.7154457478687853e+08 3.7387567833349246e+08 3.7656396886486673e+08 3.7965246071360016e+08 3.8318512424571401e+08 3.8720504266417241e+08 3.9175181249441427e+08 3.9685784762701392e+08 4.0299053688898516e+08 4.0979403091202325e+08 4.1723544976215869e+08 4.2523543993117011e+08 4.3365645718719327e+08 4.4229356069412458e+08 4.5087127976219267e+08 4.5905074106104147e+08 4.6645125125617808e+08 4.7268346561801308e+08 4.7739194567094117e+08 4.8033120178194767e+08 4.8140989470352656e+08 4.8065092114878607e+08 4.7822636912369871e+08 4.7442962083507651e+08 4.6960386765757394e+08 4.6410510638541704e+08 4.5824941446857357e+08 4.5231938762241936e+08 4.4650860723548925e+08 4.4097859364821851e+08 4.3580896758619392e+08 4.3107903774362421e+08 4.2680345175444055e+08 4.2298248614599633e+08 4.1962132245913208e+08 4.1668593210552949e+08 4.1413557412656462e+08 4.1194936605530167e+08 4.1007120452465647e+08 4.0848195865499592e+08 4.0714143026849616e+08 4.0602608105785507e+08 4.0508804839570081e+08 4.0427368616556096e+08 4.0355868892026228e+08 4.0291043581285912e+08 4.0228234724434978e+08 4.0183257270674211e+08 4.0137669903631294e+08 4.0091080421793985e+08 4.0042254661120820e+08 3.9991877470448190e+08 3.9938365767220014e+08 3.9884223852333945e+08 3.9823598310324937e+08 3.9758718544105488e+08 3.9688391303511143e+08 3.9611684828021228e+08 3.9527466840141803e+08 3.9434461825448692e+08 3.9330696958939672e+08 3.9217093020541292e+08 3.9088350134611124e+08 3.8944010994819188e+08 3.8781981737719017e+08 3.8600008984817618e+08 3.8395768962560058e+08 3.8166930773828721e+08 3.7910781455598098e+08 3.7628354053897089e+08 3.7313741496900177e+08 3.6968435798681372e+08 3.6593235593232244e+08 3.6191083613219595e+08 3.5766986666574252e+08 3.5330474620233804e+08 3.4895604346804959e+08 3.4486232771709865e+08 3.4130679094807720e+08 3.3875060240247673e+08 3.3782967513119197e+08 3.3947237664309996e+08 3.4502556923457003e+08 3.5653051342696309e+08 3.7721771342772114e+08 4.1254249464509666e+08 2.0473974014390722e+08 +5.2720240080026857e+00 3.5897497365691119e+08 3.5894405332233930e+08 3.5889225820673341e+08 3.5882735231186932e+08 3.5876911093238050e+08 3.5874622884189224e+08 3.5877059533418208e+08 3.5882114389748603e+08 3.5887770353272700e+08 3.5893763778582066e+08 3.5900498792701226e+08 3.5908158135144407e+08 3.5916865260208529e+08 3.5926811427674812e+08 3.5938239840158832e+08 3.5951417757671613e+08 3.5966674307692450e+08 3.5984417213836640e+08 3.6005129687492776e+08 3.6029372498596877e+08 3.6057799964947784e+08 3.6091170977207899e+08 3.6130411757177788e+08 3.6177079768468916e+08 3.6233564948241091e+08 3.6301307617238617e+08 3.6381171698036891e+08 3.6474757811041987e+08 3.6584210592695844e+08 3.6712012720354331e+08 3.6860968049917835e+08 3.7034210805959231e+08 3.7235208257720339e+08 3.7467747986046547e+08 3.7735902613992286e+08 3.8043954836885387e+08 3.8396279704587042e+08 3.8797159876318944e+08 3.9250525306313920e+08 3.9759583402226651e+08 4.0370887412120253e+08 4.1048905498901343e+08 4.1790294258314538e+08 4.2587063134052414e+08 4.3425408278206581e+08 4.4284800043939126e+08 4.5137680051835960e+08 4.5950185422304136e+08 4.6684317199942946e+08 4.7301262343715942e+08 4.7765647185296875e+08 4.8053123166449565e+08 4.8154762631230277e+08 4.8073046803316730e+08 4.7825329062694001e+08 4.7441032359308022e+08 4.6954500401834792e+08 4.6401306869395351e+08 4.5813000459132481e+08 4.5217761863510668e+08 4.4634870283921534e+08 4.4080400764605510e+08 4.3562252266006291e+08 4.3088298815569466e+08 4.2659963339762002e+08 4.2277240067250866e+08 4.1940618583461112e+08 4.1646677673279464e+08 4.1391328039156574e+08 4.1172467357031047e+08 4.0984477638443470e+08 4.0825433610077000e+08 4.0691307355363089e+08 4.0579734821908832e+08 4.0485921123513591e+08 4.0404495446443701e+08 4.0333017899840415e+08 4.0268220470446765e+08 4.0205443828917885e+08 4.0160491082715631e+08 4.0114929287038571e+08 4.0068366165619355e+08 4.0019568115830994e+08 3.9969219542283589e+08 3.9915738589348817e+08 3.9861626395989853e+08 3.9801035288140208e+08 3.9736192365862811e+08 3.9665905055087155e+08 3.9589242123052627e+08 3.9505071933700430e+08 3.9412119695260310e+08 3.9308414044775921e+08 3.9194873530869830e+08 3.9066203669337606e+08 3.8921946389414907e+08 3.8760009013841647e+08 3.8578139440777808e+08 3.8374015213054514e+08 3.8145306754163623e+08 3.7889302970065004e+08 3.7607034676597023e+08 3.7292600448295766e+08 3.6947490467358387e+08 3.6572502915395546e+08 3.6170578857591534e+08 3.5746722265088052e+08 3.5310457605635029e+08 3.4875834092897636e+08 3.4466693625214785e+08 3.4111341470188153e+08 3.3855867516037351e+08 3.3763827335598373e+08 3.3928004492742449e+08 3.4483009050054336e+08 3.5632851561795616e+08 3.7700399873689318e+08 4.1230875356163269e+08 2.0429685440813124e+08 +5.2769923307769435e+00 3.5980936241732162e+08 3.5977834531468064e+08 3.5972639507245874e+08 3.5966128093942225e+08 3.5960282768333268e+08 3.5957980493802571e+08 3.5960413481020856e+08 3.5965469480107474e+08 3.5971125456881976e+08 3.5977116342764145e+08 3.5983846668779618e+08 3.5991498955450135e+08 3.6000196153784502e+08 3.6010129035760969e+08 3.6021540307666790e+08 3.6034696605734611e+08 3.6049926313226432e+08 3.6067636296172237e+08 3.6088308759411681e+08 3.6112503272300500e+08 3.6140872729288876e+08 3.6174174293267131e+08 3.6213331716158378e+08 3.6259898204715192e+08 3.6316259402218455e+08 3.6383853328637117e+08 3.6463540737895614e+08 3.6556917521853584e+08 3.6666122497290963e+08 3.6793631429118842e+08 3.6942239997701752e+08 3.7115072759393299e+08 3.7315585550538671e+08 3.7547552442829072e+08 3.7815030122915626e+08 3.8122282521264309e+08 3.8473662678690404e+08 3.8873427579602152e+08 3.9325477479751468e+08 3.9832985825440621e+08 4.0442319923113233e+08 4.1118001455508709e+08 4.1856631787080014e+08 4.2650165420719916e+08 4.3484749445578510e+08 4.4339819112844700e+08 4.5187805276861298e+08 4.5994870095026708e+08 4.6723085538239276e+08 4.7333760413032240e+08 4.7791691407951158e+08 4.8072730231446272e+08 4.8168155024905747e+08 4.8080637825728089e+08 4.7827675713214195e+08 4.7438775478301126e+08 4.6948304645745534e+08 4.6391810339067799e+08 4.5800781873020047e+08 4.5203320913698941e+08 4.4618627722184235e+08 4.4062700433117026e+08 4.3543375025637245e+08 4.3068468824776745e+08 4.2639363063881129e+08 4.2256018679045630e+08 4.1918896802179480e+08 4.1624557965044349e+08 4.1368897764763296e+08 4.1149799878227079e+08 4.0961638741144627e+08 4.0802476963944364e+08 4.0668278597483981e+08 4.0556669431047457e+08 4.0462846028718269e+08 4.0381431441819721e+08 4.0309976492863524e+08 4.0245207290250361e+08 4.0182463175435102e+08 4.0137535352456075e+08 4.0091999344310504e+08 4.0045462803267729e+08 3.9996692694463974e+08 3.9946372975346833e+08 3.9892923023229742e+08 3.9838840810949463e+08 3.9778284422800469e+08 3.9713478650176096e+08 3.9643231600549364e+08 3.9566612573392206e+08 3.9482490579504842e+08 3.9389591555594689e+08 3.9285945608723330e+08 3.9172469059297717e+08 3.9043872829064542e+08 3.8899698089487195e+08 3.8737853359365344e+08 3.8556087824103874e+08 3.8352080353952241e+08 3.8123502703953898e+08 3.7867645660392427e+08 3.7585537811300921e+08 3.7271283395386058e+08 3.6926370760137904e+08 3.6551597631087571e+08 3.6149903392059076e+08 3.5726289153824204e+08 3.5290273939892864e+08 3.4855899237396854e+08 3.4446991811755008e+08 3.4091842855377042e+08 3.3836515007045966e+08 3.3744527806070274e+08 3.3908611193998581e+08 3.4463298430452996e+08 3.5612483608197862e+08 3.7678850472275537e+08 4.1207306658575350e+08 2.0385440967068514e+08 +5.2819606535512014e+00 3.6064014588392645e+08 3.6060903617140603e+08 3.6055692716938150e+08 3.6049160459049684e+08 3.6043294016560388e+08 3.6040977706930333e+08 3.6043407002097988e+08 3.6048464086537367e+08 3.6054120015359849e+08 3.6060108297481734e+08 3.6066833864287204e+08 3.6074479015390819e+08 3.6083166196583682e+08 3.6093085690975761e+08 3.6104479705661798e+08 3.6117614250813389e+08 3.6132816962147272e+08 3.6150493844060546e+08 3.6171126090096051e+08 3.6195272063403523e+08 3.6223583228776616e+08 3.6256815014003748e+08 3.6295888692241347e+08 3.6342353198650521e+08 3.6398589858899534e+08 3.6466034378062135e+08 3.6545544333903956e+08 3.6638710875440860e+08 3.6747666980160820e+08 3.6874881478330010e+08 3.7023141850245166e+08 3.7195562957495868e+08 3.7395589175308001e+08 3.7626981037261760e+08 3.7893779264860338e+08 3.8200228997051966e+08 3.8550661243988341e+08 3.8949307302054894e+08 3.9400037728841501e+08 3.9905992029997218e+08 4.0513351267535484e+08 4.1186691062259084e+08 4.1922557727691096e+08 4.2712851090910208e+08 4.3543669539942503e+08 4.4394413684721029e+08 4.5237504155868310e+08 4.6039128728723919e+08 4.6761430845079309e+08 4.7365841570191121e+08 4.7817328122105628e+08 4.8091942333152026e+08 4.8181167667249066e+08 4.8087866235861933e+08 4.7829677937654454e+08 4.7436192519235861e+08 4.6941800569271034e+08 4.6382022103997719e+08 4.5788286724783146e+08 4.5188616926609588e+08 4.4602134029128492e+08 4.4044759339234114e+08 4.3524265985922790e+08 4.3048414731875527e+08 4.2618545261239779e+08 4.2234585349181092e+08 4.1896967788908303e+08 4.1602234962021422e+08 4.1346267456761062e+08 4.1126935029003602e+08 4.0938604614316171e+08 4.0779326775848275e+08 4.0645057597976238e+08 4.0533412774927258e+08 4.0439580394479871e+08 4.0358177439987135e+08 4.0286745506726062e+08 4.0222004874994504e+08 4.0159293596945381e+08 4.0114390911901653e+08 4.0068880906560123e+08 4.0022371164843321e+08 3.9973629226091331e+08 3.9923338597656566e+08 3.9869919895771205e+08 3.9815867922988766e+08 3.9755346538891745e+08 3.9690578220226878e+08 3.9620371761649561e+08 3.9543796999243969e+08 3.9459723595925146e+08 3.9366878222959483e+08 3.9263292465143478e+08 3.9149880417832375e+08 3.9021358423127437e+08 3.8877266901358747e+08 3.8715515577207899e+08 3.8533854933981448e+08 3.8329965180206186e+08 3.8101519413459408e+08 3.7845810311563689e+08 3.7563864237149417e+08 3.7249791110718197e+08 3.6905077442454380e+08 3.6530520497966105e+08 3.6129057965970337e+08 3.5705688073309237e+08 3.5269924354528373e+08 3.4835800502880055e+08 3.4427128045395559e+08 3.4072183957082617e+08 3.3817003414677238e+08 3.3725069624013621e+08 3.3889058470942050e+08 3.4443425778949893e+08 3.5591948220087177e+08 3.7657123919560713e+08 4.1183544225933403e+08 2.0341240810805720e+08 +5.2869289763254592e+00 3.6146731548072970e+08 3.6143611400449944e+08 3.6138384826147527e+08 3.6131832045426869e+08 3.6125944586918938e+08 3.6123614260879409e+08 3.6126039838581085e+08 3.6131097950859427e+08 3.6136753770815372e+08 3.6142739384885126e+08 3.6149460121694803e+08 3.6157098057684958e+08 3.6165775131774861e+08 3.6175681136965525e+08 3.6187057778412110e+08 3.6200170437899417e+08 3.6215346000334495e+08 3.6232989604373252e+08 3.6253581427528173e+08 3.6277678621406043e+08 3.6305931214599252e+08 3.6339092892644966e+08 3.6378082440951610e+08 3.6424444508713466e+08 3.6480556080182958e+08 3.6547850531506491e+08 3.6627182257035667e+08 3.6720137648578978e+08 3.6828843824945825e+08 3.6955762659717500e+08 3.7103673408728433e+08 3.7275681212619007e+08 3.7475218957522124e+08 3.7706033610186386e+08 3.7972149898593992e+08 3.8277794144117814e+08 3.8627275304913914e+08 3.9024798976673955e+08 3.9474206019823456e+08 3.9978602020598507e+08 4.0583981498090935e+08 4.1254974427477050e+08 4.1988072252330077e+08 4.2775120389231938e+08 4.3602168887119180e+08 4.4448584174437845e+08 4.5286777199339265e+08 4.6082961933354175e+08 4.6799353830143988e+08 4.7397506620125151e+08 4.7842558218681127e+08 4.8110760434732896e+08 4.8193801576804417e+08 4.8094733089312261e+08 4.7831336811389512e+08 4.7433284561818975e+08 4.6934989244764709e+08 4.6371943221138316e+08 4.5775516050898147e+08 4.5173650916016620e+08 4.4585390195605206e+08 4.4026578451557320e+08 4.3504926094970089e+08 4.3028137466519350e+08 4.2597510845074898e+08 4.2212940976365423e+08 4.1874832429947513e+08 4.1579709540007311e+08 4.1323437981943762e+08 4.1103873668741214e+08 4.0915376111265492e+08 4.0755983894204402e+08 4.0621645201273328e+08 4.0509965694796401e+08 4.0416125059590310e+08 4.0334734277793229e+08 4.0263325776662701e+08 4.0198614058478254e+08 4.0135935925933737e+08 4.0091058592609584e+08 4.0045574804353791e+08 3.9999092079958838e+08 3.9950378539363098e+08 3.9900117236821437e+08 3.9846730033447397e+08 3.9792708557475519e+08 3.9732222460529238e+08 3.9667491898784137e+08 3.9597326359696728e+08 3.9520796220298129e+08 3.9436771800926638e+08 3.9343980513410574e+08 3.9240455427932006e+08 3.9127108417999244e+08 3.8998661260362458e+08 3.8854653630946523e+08 3.8692996469987851e+08 3.8511441569238073e+08 3.8307670486402589e+08 3.8079357672468060e+08 3.7823797708064604e+08 3.7542014732764745e+08 3.7228124366436690e+08 3.6883611279295629e+08 3.6509272273300254e+08 3.6108043328258330e+08 3.5684919763698483e+08 3.5249409580670726e+08 3.4815538611478907e+08 3.4407103039773065e+08 3.4052365481579781e+08 3.3797333439911866e+08 3.3705453488534135e+08 3.3869347026083428e+08 3.4423391809596521e+08 3.5571246135279238e+08 3.7635220996157646e+08 4.1159588911913252e+08 2.0297085188064799e+08 +5.2918972990997171e+00 3.6229087914010262e+08 3.6225958327839667e+08 3.6220716042387074e+08 3.6214142544056642e+08 3.6208234230318600e+08 3.6205889900175500e+08 3.6208311739827710e+08 3.6213370822260684e+08 3.6219026472620040e+08 3.6225009354401779e+08 3.6231725190652305e+08 3.6239355832358044e+08 3.6248022709803379e+08 3.6257915124687880e+08 3.6269274277516353e+08 3.6282364919245183e+08 3.6297513180887276e+08 3.6315123331192297e+08 3.6335674527074260e+08 3.6359722703014433e+08 3.6387916445175827e+08 3.6421007689509010e+08 3.6459912725093704e+08 3.6506171900476110e+08 3.6562157835172045e+08 3.6629301562272626e+08 3.6708454285534537e+08 3.6801197625331771e+08 3.6909652822577226e+08 3.7036274772252285e+08 3.7183834481733310e+08 3.7355427344413483e+08 3.7554474729893112e+08 3.7784710009651232e+08 3.8050141890164697e+08 3.8354977849563664e+08 3.8703504773123729e+08 3.9099902543650001e+08 3.9547982326079738e+08 4.0050815809192789e+08 4.0654210674649960e+08 4.1322851666449201e+08 4.2053175539935911e+08 4.2836973567037964e+08 4.3660247819306970e+08 4.4502331003168750e+08 4.5335624923695213e+08 4.6126370324437970e+08 4.6836855208046889e+08 4.7428756372214508e+08 4.7867382592362833e+08 4.8129185502473968e+08 4.8206057774685895e+08 4.8101239443740445e+08 4.7832653411087024e+08 4.7430052686840278e+08 4.6927871745346427e+08 4.6361574747741014e+08 4.5762470887992531e+08 4.5158423895765853e+08 4.4568397212322336e+08 4.4008158738642013e+08 4.3485356300698751e+08 4.3007637957969743e+08 4.2576260728175950e+08 4.2191086459030163e+08 4.1852491611275667e+08 4.1556982574401522e+08 4.1300410206801993e+08 4.1080616656503445e+08 4.0891954084847879e+08 4.0732449166790986e+08 4.0598042251244986e+08 4.0486329031466693e+08 4.0392480862455601e+08 4.0311102791637999e+08 4.0239718137434179e+08 4.0175035674055403e+08 4.0112390994448942e+08 4.0067539225636119e+08 4.0022081867876410e+08 3.9975626377819246e+08 3.9926941462429142e+08 3.9876709719960558e+08 3.9823354262308425e+08 3.9769363539307505e+08 3.9708913011340630e+08 3.9644220508135772e+08 3.9574096215547192e+08 3.9497611055869538e+08 3.9413636012086147e+08 3.9320899242560881e+08 3.9217435310554278e+08 3.9104153870853913e+08 3.8975782149263513e+08 3.8831859083632565e+08 3.8670296839754087e+08 3.8488848528189957e+08 3.8285197066630697e+08 3.8057018270388228e+08 3.7801608634016323e+08 3.7519990076440859e+08 3.7206283934324330e+08 3.6861973035263687e+08 3.6487853713933814e+08 3.6086860227464890e+08 3.5663984964768004e+08 3.5228730349040926e+08 3.4795114284871763e+08 3.4386917508142626e+08 3.4032388134751475e+08 3.3777505783385140e+08 3.3685680098355985e+08 3.3849477561554033e+08 3.4403197235947406e+08 3.5550378091151619e+08 3.7613142482236165e+08 4.1135441569783831e+08 2.0252974313282174e+08 +5.2968656218739749e+00 3.6311082402572513e+08 3.6307943802768046e+08 3.6302685630157840e+08 3.6296091782751858e+08 3.6290162689681208e+08 3.6287804377392435e+08 3.6290222462312943e+08 3.6295282457124794e+08 3.6300937877333844e+08 3.6306917962665600e+08 3.6313628828071707e+08 3.6321252096647501e+08 3.6329908688340330e+08 3.6339787412335491e+08 3.6351128961618400e+08 3.6364197454329789e+08 3.6379318264151448e+08 3.6396894785889089e+08 3.6417405151259899e+08 3.6441404072209668e+08 3.6469538686141044e+08 3.6502559172268987e+08 3.6541379314719290e+08 3.6587535146901906e+08 3.6643394900205427e+08 3.6710387250918311e+08 3.6789360204884791e+08 3.6881890597001797e+08 3.6990093771180528e+08 3.7116417622184956e+08 3.7263624884899533e+08 3.7434801179760420e+08 3.7633356332398862e+08 3.7863010090968364e+08 3.8127755112879473e+08 3.8431780007645220e+08 3.8779349567366439e+08 3.9174617950445336e+08 3.9621366628272474e+08 4.0122633414792693e+08 4.0724038864045298e+08 4.1390322901469654e+08 4.2117867776386195e+08 4.2898410882314044e+08 4.3717906675279361e+08 4.4555654598267281e+08 4.5384047851177484e+08 4.6169354522918171e+08 4.6873935698409247e+08 4.7459591640192032e+08 4.7891802141690439e+08 4.8147218505871785e+08 4.8217937284378546e+08 4.8107386358713466e+08 4.7833628814935154e+08 4.7426497976019806e+08 4.6920449144638151e+08 4.6350917741404790e+08 4.5749152272833025e+08 4.5142936879642928e+08 4.4551156069798440e+08 4.3989501168735713e+08 4.3465557550746709e+08 4.2986917135194594e+08 4.2554795822950464e+08 4.2169022695149153e+08 4.1829946218494952e+08 4.1534054940161544e+08 4.1277184997378403e+08 4.1057164850801027e+08 4.0868339387453532e+08 4.0708723441158462e+08 4.0574249591409373e+08 4.0462503625273353e+08 4.0368648640943503e+08 4.0287283817414749e+08 4.0215923423331171e+08 4.0151270554589254e+08 4.0088659634008712e+08 4.0043833641625148e+08 3.9998402926743925e+08 3.9951974887105465e+08 3.9903318822996897e+08 3.9853116873722547e+08 3.9799793407881731e+08 3.9745833692944866e+08 3.9685419014489895e+08 3.9620764870139402e+08 3.9550682149556768e+08 3.9474242324668247e+08 3.9390317046431267e+08 3.9297635225517917e+08 3.9194232925991982e+08 3.9081017587112170e+08 3.8952721897765934e+08 3.8808884064478892e+08 3.8647417488172537e+08 3.8466076608734065e+08 3.8262545714616579e+08 3.8034501996124601e+08 3.7779243873065597e+08 3.7497791045938617e+08 3.7184270585648775e+08 3.6840163474554372e+08 3.6466265576240772e+08 3.6065509411626828e+08 3.5642884415808868e+08 3.5207887389942265e+08 3.4774528244438720e+08 3.4366572163339496e+08 3.4012252622143221e+08 3.3757521145306647e+08 3.3665750151779670e+08 3.3829450779032940e+08 3.4382842771202892e+08 3.5529344824696869e+08 3.7590889157554030e+08 4.1111103052267110e+08 2.0208908399295723e+08 +5.3018339446482328e+00 3.6392715603776109e+08 3.6389567550838494e+08 3.6384294119969195e+08 3.6377679560323334e+08 3.6371729710263228e+08 3.6369357453663576e+08 3.6371771769394606e+08 3.6376832619054800e+08 3.6382487748660940e+08 3.6388464973545939e+08 3.6395170798079902e+08 3.6402786615002525e+08 3.6411432832263714e+08 3.6421297765257156e+08 3.6432621596762627e+08 3.6445667809834439e+08 3.6460761017634046e+08 3.6478303736955583e+08 3.6498773069770050e+08 3.6522722500181317e+08 3.6550797710347277e+08 3.6583747115818340e+08 3.6622481987029094e+08 3.6668534028016615e+08 3.6724267058885986e+08 3.6791107385139775e+08 3.6869899807733643e+08 3.6962216362057972e+08 3.7070166476107025e+08 3.7196191022921544e+08 3.7343044441168362e+08 3.7513802552701604e+08 3.7711863612184101e+08 3.7940933716681457e+08 3.8204989447217488e+08 3.8508200519825673e+08 3.8854809613679820e+08 3.9248945151550817e+08 3.9694358914045131e+08 4.0194054863481331e+08 4.0793466140164399e+08 4.1457388261713040e+08 4.2182149154355687e+08 4.2959432599786168e+08 4.3775145800223827e+08 4.4608555393193895e+08 4.5432046509941107e+08 4.6211915155066097e+08 4.6910596025773877e+08 4.7490013242117614e+08 4.7915817768849885e+08 4.8164860417499840e+08 4.8229441132055748e+08 4.8113174895710355e+08 4.7834264102445388e+08 4.7422621512035424e+08 4.6912722516988045e+08 4.6339973260051090e+08 4.5735561242339331e+08 4.5127190881477475e+08 4.4533667758443397e+08 4.3970606709878457e+08 4.3445530792417133e+08 4.2965975926911229e+08 4.2533117041520166e+08 4.2146750582370842e+08 4.1807197136680335e+08 4.1510927511777991e+08 4.1253763219131446e+08 4.1033519109722835e+08 4.0844532871072698e+08 4.0684807564215660e+08 4.0550268064678591e+08 4.0438490316060352e+08 4.0344629232441491e+08 4.0263278190545875e+08 4.0191942468149078e+08 4.0127319532482237e+08 4.0064742675697756e+08 4.0019942670707029e+08 3.9974538810174721e+08 3.9928138436077017e+08 3.9879511448280162e+08 3.9829339524291646e+08 3.9776048295290089e+08 3.9722119842313176e+08 3.9661741292690200e+08 3.9597125806104696e+08 3.9527084981666034e+08 3.9450690845097494e+08 3.9366815720537597e+08 3.9274189276977408e+08 3.9170849086798239e+08 3.9057700376902062e+08 3.8929481313395137e+08 3.8785729377995121e+08 3.8624359216421998e+08 3.8443126608282679e+08 3.8239717223481977e+08 3.8011809638172746e+08 3.7756704208375514e+08 3.7475418418635297e+08 3.7162085091268653e+08 3.6818183360854077e+08 3.6444508616208065e+08 3.6043991628444463e+08 3.5621618855726898e+08 3.5186881433243155e+08 3.4753781211021584e+08 3.4346067717835402e+08 3.3991959648816472e+08 3.3737380225476062e+08 3.3645664346729231e+08 3.3809267379834121e+08 3.4362329128164846e+08 3.5508147072449577e+08 3.7568461801370597e+08 4.1086574211592501e+08 2.0164887657349938e+08 +5.3068022674224906e+00 3.6473986702573138e+08 3.6470829357181066e+08 3.6465540340786350e+08 3.6458905616997570e+08 3.6452935058688486e+08 3.6450548899245363e+08 3.6452959431324905e+08 3.6458021078821981e+08 3.6463675857490867e+08 3.6469650158054143e+08 3.6476350871902591e+08 3.6483959159025496e+08 3.6492594913615316e+08 3.6502445955983400e+08 3.6513751956052208e+08 3.6526775759596235e+08 3.6541841216068411e+08 3.6559349960145491e+08 3.6579778059618115e+08 3.6603677765236062e+08 3.6631693297861153e+08 3.6664571302165037e+08 3.6703220526437211e+08 3.6749168331106472e+08 3.6804774101923025e+08 3.6871461759865224e+08 3.6950072893932724e+08 3.7042174726163405e+08 3.7149870749938232e+08 3.7275594795090109e+08 3.7422092980642509e+08 3.7592431304536790e+08 3.7789996423600441e+08 3.8018480756404734e+08 3.8281844780777615e+08 3.8584239294785392e+08 3.8929884845153463e+08 3.9322884108619559e+08 3.9766959178239083e+08 4.0265080188378423e+08 4.0862492583896983e+08 4.1524047883291900e+08 4.2246019873301613e+08 4.3020038990716141e+08 4.3831965545776844e+08 4.4661033827680224e+08 4.5479621433917528e+08 4.6254052852688104e+08 4.6946836919479036e+08 4.7520022000456369e+08 4.7939430379780602e+08 4.8182112212960118e+08 4.8240570346074033e+08 4.8118606118021393e+08 4.7834560354543823e+08 4.7418424378539777e+08 4.6904692937275517e+08 4.6328742361996180e+08 4.5721698833525348e+08 4.5111186914944690e+08 4.4515933268570125e+08 4.3951476329875624e+08 4.3425276972700554e+08 4.2944815261319166e+08 4.2511225295560586e+08 4.2124271017814755e+08 4.1784245250546759e+08 4.1487601163263679e+08 4.1230145737158293e+08 4.1009680290844727e+08 4.0820535387079793e+08 4.0660702382382017e+08 4.0526098513565308e+08 4.0414289943203801e+08 4.0320423473850036e+08 4.0239086745981306e+08 4.0167776105199438e+08 4.0103183439614260e+08 4.0040640950056201e+08 3.9995867142501438e+08 3.9950490346828234e+08 3.9904117852424431e+08 3.9855520165017700e+08 3.9805378497358334e+08 3.9752119749052775e+08 3.9698222810848725e+08 3.9637880668159336e+08 3.9573304136967796e+08 3.9503305531244612e+08 3.9426957434924233e+08 3.9343132850501335e+08 3.9250562211076051e+08 3.9147284604949719e+08 3.9034203049899673e+08 3.8906061203144950e+08 3.8762395828199613e+08 3.8601122825166756e+08 3.8419999323756820e+08 3.8216712385983980e+08 3.7988941984549409e+08 3.7733990422671056e+08 3.7452872971373791e+08 3.7139728221555954e+08 3.6796033457394522e+08 3.6422583589319837e+08 3.6022307625105584e+08 3.5600189022995472e+08 3.5165713208392620e+08 3.4732873905093008e+08 3.4325404883587664e+08 3.3971509919438416e+08 3.3717083723286515e+08 3.3625423380688536e+08 3.3788928064836711e+08 3.4341657019165552e+08 3.5486785570510763e+08 3.7545861192499232e+08 4.1061855899523395e+08 2.0120912297101098e+08 +5.3117705901967485e+00 3.6554895655808759e+08 3.6551728875706577e+08 3.6546424607390189e+08 3.6539769798817867e+08 3.6533778520195943e+08 3.6531378492821741e+08 3.6533785225038183e+08 3.6538847614268970e+08 3.6544501981779921e+08 3.6550473294418478e+08 3.6557168828043073e+08 3.6564769507526976e+08 3.6573394711555135e+08 3.6583231764195186e+08 3.6594519819808966e+08 3.6607521084662956e+08 3.6622558641265601e+08 3.6640033238244909e+08 3.6660419904796839e+08 3.6684269652892649e+08 3.6712225235828584e+08 3.6745031520491302e+08 3.6783594724509138e+08 3.6829437850593263e+08 3.6884915827222419e+08 3.6951450177144879e+08 3.7029879270497811e+08 3.7121765502222025e+08 3.7229206412317687e+08 3.7354628766421056e+08 3.7500770340592557e+08 3.7670687283623117e+08 3.7867754628140032e+08 3.8095651087012726e+08 3.8358321008345211e+08 3.8659896248231518e+08 3.9004575202073109e+08 3.9396434790449923e+08 3.9839167422679830e+08 4.0335709429739982e+08 4.0931118283094007e+08 4.1590301909206021e+08 4.2309480139416349e+08 4.3080230332999283e+08 4.3888366269850141e+08 4.4713090347537905e+08 4.5526773162766004e+08 4.6295768252777302e+08 4.6982659113798398e+08 4.7549618741850841e+08 4.7962640884080076e+08 4.8198974870911473e+08 4.8251325957429439e+08 4.8123681090837467e+08 4.7834518653410631e+08 4.7413907660067803e+08 4.6896361480861068e+08 4.6317226105749416e+08 4.5707566083446473e+08 4.5094925993725973e+08 4.4497953590167916e+08 4.3932110996232957e+08 4.3404797038318163e+08 4.2923436066363525e+08 4.2489121496337122e+08 4.2101584898259974e+08 4.1761091444322473e+08 4.1464076768220425e+08 4.1206333416013145e+08 4.0985649251296175e+08 4.0796347786413002e+08 4.0636408741615677e+08 4.0501741779996735e+08 4.0389903345452023e+08 4.0296032201494533e+08 4.0214710318103093e+08 4.0143425167248422e+08 4.0078863107351422e+08 4.0016355287145960e+08 3.9971607886119741e+08 3.9926258364897090e+08 3.9879913963354093e+08 3.9831345799354434e+08 3.9781234618050003e+08 3.9728008593228859e+08 3.9674143421491617e+08 3.9613837962542325e+08 3.9549300683013475e+08 3.9479344617188871e+08 3.9403042911492914e+08 3.9319269251890695e+08 3.9226754841475612e+08 3.9123540291997224e+08 3.9010526415263909e+08 3.8882462373565739e+08 3.8738884218674535e+08 3.8577709114656496e+08 3.8396695551616848e+08 3.8193531994336969e+08 3.7965899822757757e+08 3.7711103298195493e+08 3.7430155480563360e+08 3.7117200746413219e+08 3.6773714526981699e+08 3.6400491250638884e+08 3.6000458148331791e+08 3.5578595655552644e+08 3.5144383444355530e+08 3.4711807046681720e+08 3.4304584372177309e+08 3.3950904138241768e+08 3.3696632337695068e+08 3.3605027950688291e+08 3.3768433534478629e+08 3.4320827156098306e+08 3.5465261054506719e+08 3.7523088109258872e+08 4.1036948967239541e+08 2.0076982526622301e+08 +5.3167389129710063e+00 3.6635442159605503e+08 3.6632266221014506e+08 3.6626946899208301e+08 3.6620271819609368e+08 3.6614259883574420e+08 3.6611846020752537e+08 3.6614248934214211e+08 3.6619312010426944e+08 3.6624965906519818e+08 3.6630934167941815e+08 3.6637624452032065e+08 3.6645217446326780e+08 3.6653832012437928e+08 3.6663654976733607e+08 3.6674924975411230e+08 3.6687903573128420e+08 3.6702913082246637e+08 3.6720353361367053e+08 3.6740698396525675e+08 3.6764497955724168e+08 3.6792393318575507e+08 3.6825127567138809e+08 3.6863604379928732e+08 3.6909342387990355e+08 3.6964692039781654e+08 3.7031072446190524e+08 3.7109318751560992e+08 3.7200988510105270e+08 3.7308173290078318e+08 3.7433292771830177e+08 3.7579076365384364e+08 3.7748570345519823e+08 3.7945138094383049e+08 3.8172444592404968e+08 3.8434418031813234e+08 3.8735171303030145e+08 3.9078880631762147e+08 3.9469597172815239e+08 3.9910983656279284e+08 4.0405942634585935e+08 4.0999343332509243e+08 4.1656150489234459e+08 4.2372530165600562e+08 4.3140006911109459e+08 4.3944348336863047e+08 4.4764725404533941e+08 4.5573502241850281e+08 4.6337061997691303e+08 4.7018063347692674e+08 4.7578804297213233e+08 4.7985450194922423e+08 4.8215449373007327e+08 4.8261708999395931e+08 4.8128400881104505e+08 4.7834140082566655e+08 4.7409072441950005e+08 4.6887729223743206e+08 4.6305425550173414e+08 4.5693164029320073e+08 4.5078409131425762e+08 4.4479729713186353e+08 4.3912511676219863e+08 4.3384091935621846e+08 4.2901839269529814e+08 4.2466806554678488e+08 4.2078693119974756e+08 4.1737736601752979e+08 4.1440355199702817e+08 4.1182327119764727e+08 4.0961426847596973e+08 4.0771970919505292e+08 4.0611927487321532e+08 4.0477198705386817e+08 4.0365331361214495e+08 4.0271456251292175e+08 4.0190149740786797e+08 4.0118890486528313e+08 4.0054359366571742e+08 3.9991886516499901e+08 3.9947165730155188e+08 3.9901843692048448e+08 3.9855527595574230e+08 3.9806989177007854e+08 3.9756908711004514e+08 3.9703715651384658e+08 3.9649882496637189e+08 3.9589613997022057e+08 3.9525116264082998e+08 3.9455203057906085e+08 3.9378948091582847e+08 3.9295225739770490e+08 3.9202767981360811e+08 3.9099616958950156e+08 3.8986671281673759e+08 3.8858685630651581e+08 3.8715195352391833e+08 3.8554118884545988e+08 3.8373216087780279e+08 3.8170176840295869e+08 3.7942683939754826e+08 3.7688043616637778e+08 3.7407266722094893e+08 3.7094503435245413e+08 3.6751227331886446e+08 3.6378232354685605e+08 3.5978443944429874e+08 3.5556839490964139e+08 3.5122892869685489e+08 3.4690581355330294e+08 3.4283606894717711e+08 3.3930143008961344e+08 3.3676026767171854e+08 3.3584478753347826e+08 3.3747784488776398e+08 3.4299840250380468e+08 3.5443574259604079e+08 3.7500143329486579e+08 4.1011854265405649e+08 2.0033098552408749e+08 +5.3217072357452642e+00 3.6715626272745913e+08 3.6712441311980003e+08 3.6707106694720906e+08 3.6700411428855932e+08 3.6694378947246540e+08 3.6691951276010931e+08 3.6694350349482775e+08 3.6699414059350121e+08 3.6705067423768938e+08 3.6711032571017528e+08 3.6717717536546504e+08 3.6725302768453777e+08 3.6733906609665084e+08 3.6743715387494272e+08 3.6754967217370629e+08 3.6767923020205289e+08 3.6782904335090852e+08 3.6800310126472694e+08 3.6820613333106202e+08 3.6844362473519450e+08 3.6872197347509176e+08 3.6904859245474684e+08 3.6943249298487979e+08 3.6988881751992178e+08 3.7044102551781428e+08 3.7110328383292925e+08 3.7188391158374590e+08 3.7279843576884651e+08 3.7386771217112774e+08 3.7511586653304040e+08 3.7657010906461412e+08 3.7826080352823699e+08 3.8022146698030359e+08 3.8248861163624340e+08 3.8510135760079968e+08 3.8810064389105403e+08 3.9152801088572925e+08 3.9542371238567573e+08 3.9982407894891304e+08 4.0475779857092023e+08 4.1067167833750302e+08 4.1721593779986835e+08 4.2435170171452707e+08 4.3199369016003835e+08 4.3999912117373109e+08 4.4815939456495273e+08 4.5619809222278869e+08 4.6377934735006118e+08 4.7053050364907992e+08 4.7607579501537699e+08 4.8007859229076195e+08 4.8231536703786892e+08 4.8271720507525373e+08 4.8132766557554340e+08 4.7833425726807040e+08 4.7403919810452348e+08 4.6878797242415380e+08 4.6293341754253697e+08 4.5678493708294237e+08 4.5061637341470128e+08 4.4461262627228630e+08 4.3892679336763513e+08 4.3363162610515296e+08 4.2880025797913718e+08 4.2444281380996639e+08 4.2055596578788882e+08 4.1714181606075460e+08 4.1416437330284327e+08 4.1158127711989164e+08 4.0937013935831678e+08 4.0747405636210531e+08 4.0587259464389253e+08 4.0452470130645126e+08 4.0340574828159475e+08 4.0246696458492970e+08 4.0165405847359604e+08 4.0094172894778705e+08 4.0029673047489339e+08 3.9967235467033416e+08 3.9922541502618933e+08 3.9877247155320829e+08 3.9830959575197142e+08 3.9782451123084378e+08 3.9732401600333273e+08 3.9679241746501029e+08 3.9625440858185607e+08 3.9565209592188537e+08 3.9500751699471885e+08 3.9430881671238452e+08 3.9354673791439694e+08 3.9271003128698355e+08 3.9178602443251216e+08 3.9075515416269153e+08 3.8962638457230699e+08 3.8834731779848552e+08 3.8691330031889647e+08 3.8530352933993441e+08 3.8349561727669632e+08 3.8146647715041500e+08 3.7919295122081804e+08 3.7664812159231609e+08 3.7384207471355689e+08 3.7071637056973523e+08 3.6728572633900410e+08 3.6355807655519688e+08 3.5956265759118509e+08 3.5534921266247755e+08 3.5101242212379324e+08 3.4669197550123423e+08 3.4262473161828905e+08 3.3909227234939653e+08 3.3655267709848309e+08 3.3563776484817278e+08 3.3726981627233881e+08 3.4278697013054037e+08 3.5421725920489949e+08 3.7477027630518389e+08 4.0986572644150895e+08 1.9989260579382747e+08 +5.3266755585195220e+00 3.6795447347014046e+08 3.6792253523948956e+08 3.6786903783310682e+08 3.6780188494574630e+08 3.6774135526844960e+08 3.6771694058115959e+08 3.6774089268652725e+08 3.6779153560100651e+08 3.6784806332606155e+08 3.6790768303153813e+08 3.6797447881277859e+08 3.6805025273944873e+08 3.6813618303754091e+08 3.6823412797477269e+08 3.6834646347289389e+08 3.6847579228265733e+08 3.6862532202966106e+08 3.6879903337808150e+08 3.6900164519919819e+08 3.6923863013033658e+08 3.6951637131126386e+08 3.6984226366044039e+08 3.7022529293068051e+08 3.7068055758324844e+08 3.7123147182353932e+08 3.7189217811855549e+08 3.7267096319198072e+08 3.7358330536746240e+08 3.7465000034502298e+08 3.7589510259897321e+08 3.7734573822439122e+08 3.7903217175253510e+08 3.8098780321861702e+08 3.8324900698725027e+08 3.8585474109233648e+08 3.8884575443435907e+08 3.9226336533872014e+08 3.9614756977513474e+08 4.0053440161370075e+08 4.0545221158275658e+08 4.1134591895335943e+08 4.1786631944817692e+08 4.2497400383245862e+08 4.3258316945069802e+08 4.4055057988265240e+08 4.4866732967353570e+08 4.5665694660651618e+08 4.6418387117529494e+08 4.7087620914008230e+08 4.7635945194139719e+08 4.8029868906869757e+08 4.8247237850793028e+08 4.8281361519769311e+08 4.8136779190618837e+08 4.7832376672107673e+08 4.7398450852616215e+08 4.6869566613798296e+08 4.6280975777248102e+08 4.5663556157562548e+08 4.5044611637196457e+08 4.4442553321685028e+08 4.3872614944445300e+08 4.3342010008663660e+08 4.2857996578197122e+08 4.2421546885208189e+08 4.2032296169989944e+08 4.1690427340047693e+08 4.1392324032038528e+08 4.1133736055641794e+08 4.0912411371479452e+08 4.0722652785856700e+08 4.0562405517117691e+08 4.0427556896080476e+08 4.0315634583519053e+08 4.0221753657867140e+08 4.0140479470581859e+08 4.0069273223107564e+08 4.0004804979877216e+08 3.9942402967228520e+08 3.9897736031023473e+08 3.9852469581286603e+08 3.9806210727815795e+08 3.9757732462196589e+08 3.9707714109577876e+08 3.9654587701016939e+08 3.9600819327426833e+08 3.9540625568160200e+08 3.9476207807907468e+08 3.9406381274446547e+08 3.9330220826834077e+08 3.9246602232561725e+08 3.9154259039284265e+08 3.9051236473864323e+08 3.8938428749536765e+08 3.8810601626089555e+08 3.8667289059115463e+08 3.8506412061622566e+08 3.8325733266186547e+08 3.8122945409230340e+08 3.7895734155672383e+08 3.7641409706640172e+08 3.7360978503180391e+08 3.7048602379960322e+08 3.6705751194317180e+08 3.6333217906738871e+08 3.5933924337704277e+08 3.5512841717928767e+08 3.5079432200006795e+08 3.4647656349654180e+08 3.4241183883681846e+08 3.3888157519046593e+08 3.3634355863180798e+08 3.3542921840793586e+08 3.3706025648964071e+08 3.4257398154535079e+08 3.5399716771370977e+08 3.7453741789104927e+08 4.0961104952943754e+08 1.9945468810898966e+08 +5.3316438812937799e+00 3.6874905917688465e+08 3.6871702708007902e+08 3.6866337911694777e+08 3.6859602848643100e+08 3.6853529437723237e+08 3.6851074173428202e+08 3.6853465496852171e+08 3.6858530318867642e+08 3.6864182439101177e+08 3.6870141170856404e+08 3.6876815293069565e+08 3.6884384769907331e+08 3.6892966902214909e+08 3.6902747014705020e+08 3.6913962173826581e+08 3.6926872006596982e+08 3.6941796496031410e+08 3.6959132806607997e+08 3.6979351769384474e+08 3.7002999388134921e+08 3.7030712484972697e+08 3.7063228746348488e+08 3.7101444183567488e+08 3.7146864229728693e+08 3.7201825757799071e+08 3.7267740562216055e+08 3.7345434069453025e+08 3.7436449230866599e+08 3.7542859590215868e+08 3.7667063447758293e+08 3.7811764978901833e+08 3.7979980689521229e+08 3.8175038855696696e+08 3.8400563102862239e+08 3.8660433002308559e+08 3.8958704409959519e+08 3.9299486936099905e+08 3.9686754386501676e+08 4.0124080485489768e+08 4.0614266606010902e+08 4.1201615632584238e+08 4.1851265153847194e+08 4.2559221033777386e+08 4.3316851002210552e+08 4.4109786332673097e+08 4.4917106406846249e+08 4.5711159119357711e+08 4.6458419803250265e+08 4.7121775748051238e+08 4.7663902218321335e+08 4.8051480152082330e+08 4.8262553804350966e+08 4.8290633076252913e+08 4.8140439852462298e+08 4.7830994005701351e+08 4.7392666656261504e+08 4.6860038415235746e+08 4.6268328678637248e+08 4.5648352414374018e+08 4.5027333031740409e+08 4.4423602785741317e+08 4.3852319465567040e+08 4.3320635075176793e+08 4.2835752536672449e+08 4.2398603976797754e+08 4.2008792788435131e+08 4.1666474685930973e+08 4.1368016176414591e+08 4.1109153013221604e+08 4.0887620009532946e+08 4.0697713217207819e+08 4.0537366489302641e+08 4.0402459841437477e+08 4.0290511463930553e+08 4.0196628683571535e+08 4.0115371442654437e+08 4.0044192302120727e+08 3.9979755992947114e+08 3.9917389844885558e+08 3.9872750142259157e+08 3.9827511795897788e+08 3.9781281878409535e+08 3.9732834018316567e+08 3.9682847061684012e+08 3.9629754336803120e+08 3.9576018725151116e+08 3.9515862744412434e+08 3.9451485407543331e+08 3.9381702684238976e+08 3.9305590012833136e+08 3.9222023864850050e+08 3.9129738580921680e+08 3.9026780941140795e+08 3.8914042965602893e+08 3.8786295973794228e+08 3.8643073235466057e+08 3.8482297065522456e+08 3.8301731497642547e+08 3.8099070713009501e+08 3.7872001825935131e+08 3.7617837039056247e+08 3.7337580591965580e+08 3.7025400172067678e+08 3.6682763773877043e+08 3.6310463861344177e+08 3.5911420424938339e+08 3.5490601582037377e+08 3.5057463559595263e+08 3.4625958472030717e+08 3.4219739769959635e+08 3.3866934563594180e+08 3.3613291924345571e+08 3.3521915516458780e+08 3.3684917252506053e+08 3.4235944384928781e+08 3.5377547545916086e+08 3.7430286581529611e+08 4.0935452040788031e+08 1.9901723448749495e+08 +5.3366122040680377e+00 3.6954001109020925e+08 3.6950788962633282e+08 3.6945409095102108e+08 3.6938654166283971e+08 3.6932560476548803e+08 3.6930091436045903e+08 3.6932478846630281e+08 3.6937544148736602e+08 3.6943195556334889e+08 3.6949150987669170e+08 3.6955819585679662e+08 3.6963381070515585e+08 3.6971952219641441e+08 3.6981717854199266e+08 3.6992914512621903e+08 3.7005801171666336e+08 3.7020697031599438e+08 3.7037998351038957e+08 3.7058174900903732e+08 3.7081771419694024e+08 3.7109423231620330e+08 3.7141866210977918e+08 3.7179993796948242e+08 3.7225306996020627e+08 3.7280138111412704e+08 3.7345896471921855e+08 3.7423404251505005e+08 3.7514199507455420e+08 3.7620349739360577e+08 3.7744246080001134e+08 3.7888584248431122e+08 3.8056370779409599e+08 3.8250922196296120e+08 3.8475848288133270e+08 3.8735012369254464e+08 3.9032451239643383e+08 3.9372252270596921e+08 3.9758363469247681e+08 4.0194328903955483e+08 4.0682916275128180e+08 4.1268239167635334e+08 4.1915493583899605e+08 4.2620632362478203e+08 4.3374971497723532e+08 4.4164097539920801e+08 4.4967060250643259e+08 4.5756203166185701e+08 4.6498033455235666e+08 4.7155515624846923e+08 4.7691451421492964e+08 4.8072693891967374e+08 4.8277485557649815e+08 4.8299536219391185e+08 4.8143749616903520e+08 4.7829278815940201e+08 4.7386568309972680e+08 4.6850213724649972e+08 4.6255401518043280e+08 4.5632883515817356e+08 4.5009802538121957e+08 4.4404412008219397e+08 4.3831793866079688e+08 4.3299038754892844e+08 4.2813294599034393e+08 4.2375453564721221e+08 4.1985087328431630e+08 4.1642324525401437e+08 4.1343514634422898e+08 4.1084379446663249e+08 4.0862640704341233e+08 4.0672587778440148e+08 4.0512143224063325e+08 4.0377179805904627e+08 4.0265206305367166e+08 4.0171322369165933e+08 4.0090082595205319e+08 4.0018930961766118e+08 3.9954526915242600e+08 3.9892196927275324e+08 3.9847584662668961e+08 3.9802374624567205e+08 3.9756173851472294e+08 3.9707756614881366e+08 3.9657801279079193e+08 3.9604742475175780e+08 3.9551039871519738e+08 3.9490921939889997e+08 3.9426585316022146e+08 3.9356846716812062e+08 3.9280782164065176e+08 3.9197268838371217e+08 3.9105041879113752e+08 3.9002149626887059e+08 3.8889481911884111e+08 3.8761815626739675e+08 3.8618683361790210e+08 3.8458008743177986e+08 3.8277557215781879e+08 3.8075024415956509e+08 3.7848098917757422e+08 3.7594094936059237e+08 3.7314014511434263e+08 3.7002031200634712e+08 3.6659611132791394e+08 3.6287546271823496e+08 3.5888754765046734e+08 3.5468201594115508e+08 3.5035337017720717e+08 3.4604104634833831e+08 3.4198141529787642e+08 3.3845559070461774e+08 3.3592076589933163e+08 3.3500758206555814e+08 3.3663657135963786e+08 3.4214336413680279e+08 3.5355218977324528e+08 3.7406662783546531e+08 4.0909614756018949e+08 1.9858024693169025e+08 +5.3415805268422956e+00 3.7032732961192703e+08 3.7029511816044587e+08 3.7024117185943651e+08 3.7017342302314949e+08 3.7011228437150931e+08 3.7008745667833441e+08 3.7011129137912303e+08 3.7016194869722635e+08 3.7021845504399359e+08 3.7027797574118525e+08 3.7034460579927725e+08 3.7042013996884990e+08 3.7050574077553642e+08 3.7060325138119078e+08 3.7071503186360359e+08 3.7084366546794230e+08 3.7099233633857447e+08 3.7116499796394539e+08 3.7136633741013771e+08 3.7160178935598838e+08 3.7187769200615889e+08 3.7220138591491520e+08 3.7258177967199337e+08 3.7303383894038093e+08 3.7358084083423793e+08 3.7423685385366863e+08 3.7501006714743000e+08 3.7591581221720916e+08 3.7697470343976682e+08 3.7821058026769024e+08 3.7965031510690880e+08 3.8132387335627139e+08 3.8326430247534215e+08 3.8550756173635817e+08 3.8809212147136104e+08 3.9105815890430748e+08 3.9444632519673467e+08 3.9829584236434424e+08 4.0264185460306042e+08 4.0751170247176170e+08 4.1334462629308045e+08 4.1979317418389821e+08 4.2681634615296525e+08 4.3432678748254132e+08 4.4217992005379212e+08 4.5016594980385768e+08 4.5800827374513876e+08 4.6537228741675651e+08 4.7188841306766081e+08 4.7718593655068916e+08 4.8093511057197714e+08 4.8292034106727833e+08 4.8308071993751943e+08 4.8146709559383106e+08 4.7827232192367649e+08 4.7380156903080755e+08 4.6840093620101130e+08 4.6242195355185175e+08 4.5617150499074483e+08 4.4992021169177854e+08 4.4384981977711415e+08 4.3811039111479187e+08 4.3277221992170274e+08 4.2790623690610397e+08 4.2352096557429862e+08 4.1961180683757710e+08 4.1617977739603168e+08 4.1318820276427978e+08 4.1059416217244732e+08 4.0837474309717178e+08 4.0647277317138654e+08 4.0486736563988143e+08 4.0351717628049743e+08 4.0239719943338805e+08 4.0145835547650307e+08 4.0064613759218055e+08 3.9993490031461716e+08 3.9929118574740529e+08 3.9866825041090947e+08 3.9822240417992789e+08 3.9777058892106247e+08 3.9730887470791376e+08 3.9682501074728078e+08 3.9632577583562654e+08 3.9579552936824328e+08 3.9525883586106920e+08 3.9465803972932327e+08 3.9401508350291675e+08 3.9331814187694824e+08 3.9255798094485950e+08 3.9172337965391147e+08 3.9080169744219959e+08 3.8977343339318776e+08 3.8864746394261682e+08 3.8737161388143194e+08 3.8594120238359100e+08 3.8433547891548860e+08 3.8253211213815236e+08 3.8050807307047093e+08 3.7824026215408623e+08 3.7570184176675248e+08 3.7290281034833926e+08 3.6978496232387924e+08 3.6636294030718529e+08 3.6264465890151417e+08 3.5865928101707917e+08 3.5445642489110810e+08 3.5013053300337780e+08 3.4582095555151582e+08 3.4176389871870154e+08 3.3824031740983140e+08 3.3570710556039852e+08 3.3479450605296332e+08 3.3642245996935976e+08 3.4192574949821609e+08 3.5332731798179185e+08 3.7382871170232064e+08 4.0883593946323949e+08 1.9814372742840037e+08 +5.3465488496165534e+00 3.7111101244490165e+08 3.7107871399666393e+08 3.7102461722103751e+08 3.7095667127332151e+08 3.7089533137639821e+08 3.7087036697963601e+08 3.7089416197767222e+08 3.7094482308813763e+08 3.7100132110346067e+08 3.7106080757694739e+08 3.7112738103591967e+08 3.7120283377101427e+08 3.7128832304571748e+08 3.7138568695410359e+08 3.7149728024681318e+08 3.7162567962359422e+08 3.7177406134049702e+08 3.7194636974943721e+08 3.7214728123080087e+08 3.7238221770730609e+08 3.7265750228557640e+08 3.7298045726452255e+08 3.7335996535166502e+08 3.7381094767525268e+08 3.7435663521111226e+08 3.7501107154000586e+08 3.7578241315568227e+08 3.7668594235837990e+08 3.7774221273164237e+08 3.7897499165177661e+08 3.8041106652244121e+08 3.8208030255927294e+08 3.8401562920106792e+08 3.8625286685441232e+08 3.8883032279878372e+08 3.9178798327099025e+08 3.9516627672469568e+08 3.9900416705567384e+08 4.0333650204944426e+08 4.0819028610543305e+08 4.1400286153210908e+08 4.2042736847436875e+08 4.2742228044661707e+08 4.3489973076777309e+08 4.4271470130654842e+08 4.5065711083365405e+08 4.5845032323219693e+08 4.6576006335873902e+08 4.7221753560700297e+08 4.7745329774434346e+08 4.8113932581845725e+08 4.8306200450320101e+08 4.8316241446092552e+08 4.8149320756942379e+08 4.7824855225612223e+08 4.7373433525567871e+08 4.6829679180255896e+08 4.6228711250008750e+08 4.5601154401189590e+08 4.4973989937488168e+08 4.4365313682467568e+08 4.3790056166963392e+08 4.3255185730873322e+08 4.2767740736212122e+08 4.2328533862903523e+08 4.1937073747632444e+08 4.1593435209092182e+08 4.1293933972268921e+08 4.1034264185760683e+08 4.0812121678821933e+08 4.0621782680329257e+08 4.0461147351073343e+08 4.0326074145849961e+08 4.0214053212642795e+08 4.0120169051399010e+08 4.0038965765090537e+08 3.9967870339969707e+08 3.9903531798794866e+08 3.9841275012348992e+08 3.9796718233347136e+08 3.9751565422659671e+08 3.9705423559612685e+08 3.9657068220068949e+08 3.9607176796282113e+08 3.9554186541834557e+08 3.9500550687878537e+08 3.9440509661240888e+08 3.9376255326809883e+08 3.9306605911852431e+08 3.9230638617515570e+08 3.9147232057575613e+08 3.9055122985939151e+08 3.8952362886031753e+08 3.8839837218016428e+08 3.8712334060643858e+08 3.8569384664830339e+08 3.8408915306960189e+08 3.8228694284349543e+08 3.8026420174710387e+08 3.7799784502660954e+08 3.7546105539400405e+08 3.7266380934835166e+08 3.6954796033559972e+08 3.6612813226799387e+08 3.6241223467707163e+08 3.5842941178101718e+08 3.5422925001459557e+08 3.4990613132990909e+08 3.4559931949547774e+08 3.4154485504350317e+08 3.3802353275994688e+08 3.3549194518262661e+08 3.3457993406323469e+08 3.3620684532489544e+08 3.4170660701798064e+08 3.5310086740638494e+08 3.7358912516221857e+08 4.0857390458866489e+08 1.9770767794897842e+08 +5.3515171723908113e+00 3.7189106138097703e+08 3.7185867183713007e+08 3.7180442477848858e+08 3.7173628476734912e+08 3.7167474422321105e+08 3.7164964362131888e+08 3.7167339860378718e+08 3.7172406299903876e+08 3.7178055208245993e+08 3.7184000372817886e+08 3.7190651991405302e+08 3.7198189046269071e+08 3.7206726736132431e+08 3.7216448362093544e+08 3.7227588864191210e+08 3.7240405255685735e+08 3.7255214370350951e+08 3.7272409725762403e+08 3.7292457887515461e+08 3.7315899766836572e+08 3.7343366158896208e+08 3.7375587461393380e+08 3.7413449348786074e+08 3.7458439467283756e+08 3.7512876278704733e+08 3.7578161636243856e+08 3.7655107917262954e+08 3.7745238418988407e+08 3.7850602402857018e+08 3.7973569379233021e+08 3.8116809566605902e+08 3.8283299444918042e+08 3.8476320131767613e+08 3.8699439756479239e+08 3.8956472718330193e+08 3.9251398521415824e+08 3.9588237725112009e+08 3.9970860901077670e+08 4.0402723195135027e+08 4.0886491460424048e+08 4.1465709881665611e+08 4.2105752067715049e+08 4.2802412909548408e+08 4.3546854812575746e+08 4.4324532323387444e+08 4.5114409052868468e+08 4.5888818596522284e+08 4.6614366916029280e+08 4.7254253158090115e+08 4.7771660638996148e+08 4.8133959403312331e+08 4.8319985589893627e+08 4.8324045625266367e+08 4.8151584288233823e+08 4.7822149007365751e+08 4.7366399268187040e+08 4.6818971484085178e+08 4.6214950262442714e+08 4.5584896259110063e+08 4.4955709855376923e+08 4.4345408110381395e+08 4.3768845997226912e+08 4.3232930914435691e+08 4.2744646660151762e+08 4.2304766388488275e+08 4.1912767412705237e+08 4.1568697813929617e+08 4.1268856591156209e+08 4.1008924212269354e+08 4.0786583664283675e+08 4.0596104714333868e+08 4.0435376426644397e+08 4.0300250196613443e+08 4.0188206947473294e+08 4.0094323712146407e+08 4.0013139442641479e+08 3.9942072715437812e+08 3.9877767414213264e+08 3.9815547666491234e+08 3.9771018933220112e+08 3.9725895039792031e+08 3.9679782940534431e+08 3.9631458872531366e+08 3.9581599737839437e+08 3.9528644109715384e+08 3.9475041995231467e+08 3.9415039821994478e+08 3.9350827061310476e+08 3.9281222703643721e+08 3.9205304545865804e+08 3.9121951925961250e+08 3.9029902413440877e+08 3.8927209074062347e+08 3.8814755187802917e+08 3.8687334446299595e+08 3.8544477440289855e+08 3.8384111785164130e+08 3.8204007219410586e+08 3.8001863806776649e+08 3.7775374562562823e+08 3.7521859802058977e+08 3.7242314983497882e+08 3.6930931369749093e+08 3.6589169479532409e+08 3.6217819755363739e+08 3.5819794736781615e+08 3.5400049865070045e+08 3.4968017240560871e+08 3.4537614533994985e+08 3.4132429134807992e+08 3.3780524375834697e+08 3.3527529171630770e+08 3.3436387302875906e+08 3.3598973439169580e+08 3.4148594377577204e+08 3.5287284536196524e+08 3.7334787595500946e+08 4.0831005140056539e+08 1.9727210044935855e+08 +5.3564854951650691e+00 3.7266747108526778e+08 3.7263499099468559e+08 3.7258059644138062e+08 3.7251226149225694e+08 3.7245052137332702e+08 3.7242528501693821e+08 3.7244899966820896e+08 3.7249966683708960e+08 3.7255614639046025e+08 3.7261556260814393e+08 3.7268202085001469e+08 3.7275730846344185e+08 3.7284257214665705e+08 3.7293963981038696e+08 3.7305085548400468e+08 3.7317878271010172e+08 3.7332658187785482e+08 3.7349817895034534e+08 3.7369822881627727e+08 3.7393212772697884e+08 3.7420616842080289e+08 3.7452763648675042e+08 3.7490536262840140e+08 3.7535417850900561e+08 3.7589722217306560e+08 3.7654848697334528e+08 3.7731606390083355e+08 3.7821513647185463e+08 3.7926613615952092e+08 3.8049268559957367e+08 3.8192140154218137e+08 3.8358194814198053e+08 3.8550701807006878e+08 3.8773215326678830e+08 3.9029533420200133e+08 3.9323616451957512e+08 3.9659462680512387e+08 4.0040916854088360e+08 4.0471404494807357e+08 4.0953558898692167e+08 4.1530733963599378e+08 4.2168363282474589e+08 4.2862189475269318e+08 4.3603324291249442e+08 4.4377178997220653e+08 4.5162689387747973e+08 4.5932186784134495e+08 4.6652311165396583e+08 4.7286340874817711e+08 4.7797587111964178e+08 4.8153592462322044e+08 4.8333390529619128e+08 4.8331485582242644e+08 4.8153501233364642e+08 4.7819114630428946e+08 4.7359055222212511e+08 4.6807971610764670e+08 4.6200913452542335e+08 4.5568377109667605e+08 4.4937181935027337e+08 4.4325266249059939e+08 4.3747409566637659e+08 4.3210458485820508e+08 4.2721342386195385e+08 4.2280795041086113e+08 4.1888262571114689e+08 4.1543766433478022e+08 4.1243589001681912e+08 4.0983397156342793e+08 4.0760861118053472e+08 4.0570244264959329e+08 4.0409424631400180e+08 4.0274246617038858e+08 4.0162181981424785e+08 4.0068300360989583e+08 3.9987135620916390e+08 3.9916097985382432e+08 3.9851826247043222e+08 3.9789643828319710e+08 3.9745143341474754e+08 3.9700048566473991e+08 3.9653966435522610e+08 3.9605673853047180e+08 3.9555847228165364e+08 3.9502926459254855e+08 3.9449358325853842e+08 3.9389395271604061e+08 3.9325224368999195e+08 3.9255665376760846e+08 3.9179796691723925e+08 3.9096498380951399e+08 3.9004508835222960e+08 3.8901882709774482e+08 3.8789501107698137e+08 3.8662163346500760e+08 3.8519399363148451e+08 3.8359138121303844e+08 3.8179150810388494e+08 3.7977138990426701e+08 3.7750797177732497e+08 3.7497447741946763e+08 3.7218083952326345e+08 3.6906903005961818e+08 3.6565363546886784e+08 3.6194255503345871e+08 3.5796489519780916e+08 3.5377017813230193e+08 3.4945266347418880e+08 3.4515144023980743e+08 3.4110221470282280e+08 3.3758545740254378e+08 3.3505715210701084e+08 3.3414632987555152e+08 3.3577113412975436e+08 3.4126376684562218e+08 3.5264325915874702e+08 3.7310497181455892e+08 4.0804438835781980e+08 1.9683699687010646e+08 +5.3614538179393270e+00 3.7344023843432486e+08 3.7340767325688142e+08 3.7335313184542722e+08 3.7328460022857022e+08 3.7322266121939909e+08 3.7319728963453269e+08 3.7322096364964223e+08 3.7327163307780081e+08 3.7332810250748974e+08 3.7338748269930655e+08 3.7345388232897633e+08 3.7352908626203650e+08 3.7361423589495659e+08 3.7371115402093494e+08 3.7382217927730036e+08 3.7394986859462857e+08 3.7409737438426268e+08 3.7426861335730714e+08 3.7446822959609425e+08 3.7470160643924040e+08 3.7497502135402495e+08 3.7529574147650546e+08 3.7567257139014280e+08 3.7612029782912457e+08 3.7666201204972231e+08 3.7731168209483308e+08 3.7807736611142868e+08 3.7897419803398949e+08 3.8002254802308822e+08 3.8124596605190367e+08 3.8267098322390568e+08 3.8432716282162285e+08 3.8624707877425528e+08 3.8846613342714673e+08 3.9102214350122619e+08 3.9395452104182178e+08 3.9730302548355752e+08 4.0110584602667826e+08 4.0539694174777323e+08 4.1020231033912826e+08 4.1595358554586846e+08 4.2230570701515621e+08 4.2921558013606870e+08 4.3659381854447222e+08 4.4429410571842784e+08 4.5210552592701221e+08 4.5975137481088525e+08 4.6689839772060287e+08 4.7318017491190553e+08 4.7823110060536134e+08 4.8172832702816343e+08 4.8346416276340503e+08 4.8338562369990164e+08 4.8155072674034804e+08 4.7815753188548911e+08 4.7351402479668427e+08 4.6796680639948809e+08 4.6186601880441582e+08 4.5551597989597631e+08 4.4918407188227838e+08 4.4304889085641962e+08 4.3725747838998324e+08 4.3187769387481147e+08 4.2697828837547451e+08 4.2256620726964462e+08 4.1863560114337158e+08 4.1518641946555299e+08 4.1218132071876496e+08 4.0957683876874536e+08 4.0734954891439134e+08 4.0544202177228457e+08 4.0383292805440986e+08 4.0248064243244922e+08 4.0135979147387695e+08 4.0042099828405577e+08 3.9960955128488582e+08 3.9889946976671582e+08 3.9825709122736329e+08 3.9763564321969604e+08 3.9719092281370330e+08 3.9674026824902177e+08 3.9627974865936470e+08 3.9579713982019234e+08 3.9529920086560935e+08 3.9477034408696645e+08 3.9423500496843982e+08 3.9363576825952893e+08 3.9299448064354682e+08 3.9229934744304484e+08 3.9154115866570520e+08 3.9070872232322025e+08 3.8978943059163302e+08 3.8876384598941475e+08 3.8764075781102324e+08 3.8636821562039506e+08 3.8494151231296861e+08 3.8333995109866899e+08 3.8154125848041481e+08 3.7952246512293392e+08 3.7726053130006355e+08 3.7472870135760546e+08 3.7193688612124616e+08 3.6882711706666690e+08 3.6541396186215889e+08 3.6170531461343217e+08 3.5773026268513304e+08 3.5353829578704077e+08 3.4922361177348894e+08 3.4492521134379262e+08 3.4087863217300075e+08 3.3736418068455774e+08 3.3483753329440993e+08 3.3392731152469844e+08 3.3555105149385250e+08 3.4104008329533637e+08 3.5241211610080236e+08 3.7286042046880662e+08 4.0777692391136074e+08 1.9640236913647115e+08 +5.3664221407135848e+00 3.7420936472633708e+08 3.7417671613644356e+08 3.7412202659490126e+08 3.7405330009019357e+08 3.7399116226411688e+08 3.7396565599668467e+08 3.7398928909592128e+08 3.7403996026616931e+08 3.7409641898193437e+08 3.7415576255238771e+08 3.7422210290502167e+08 3.7429722241633785e+08 3.7438225716776502e+08 3.7447902481918114e+08 3.7458985859486204e+08 3.7471730879036158e+08 3.7486451981087184e+08 3.7503539907716548e+08 3.7523457982524860e+08 3.7546743243025106e+08 3.7574021903107095e+08 3.7606018824554300e+08 3.7643611845923138e+08 3.7688275134830981e+08 3.7742313116594487e+08 3.7807120051784545e+08 3.7883498464462024e+08 3.7972956777445763e+08 3.8077525858548641e+08 3.8199553419613314e+08 3.8341683985336769e+08 3.8506863774088699e+08 3.8698338281239098e+08 3.8919633758183914e+08 3.9174515479460144e+08 3.9466905470307326e+08 3.9800757345220262e+08 4.0179864191530305e+08 4.0607592312454736e+08 4.1086507981360602e+08 4.1659583816775042e+08 4.2292374541099697e+08 4.2980518802633780e+08 4.3715027850244492e+08 4.4481227472898674e+08 4.5257999178041732e+08 4.6017671287771386e+08 4.6726953429129541e+08 4.7349283791967744e+08 4.7848230355585629e+08 4.8191681072042984e+08 4.8359063839470643e+08 4.8345277043582207e+08 4.8156299693332195e+08 4.7812065776545280e+08 4.7343442133087105e+08 4.6785099651380330e+08 4.6172016606271070e+08 4.5534559935461330e+08 4.4899386626543254e+08 4.4284277607004851e+08 4.3703861777777582e+08 4.3164864561347675e+08 4.2674106936981356e+08 4.2232244351798594e+08 4.1838660933315915e+08 4.1493325231315744e+08 4.1192486669073462e+08 4.0931785232067889e+08 4.0708865835113609e+08 4.0517979295633698e+08 4.0356981788118517e+08 4.0221703910524291e+08 4.0109599277604586e+08 4.0015722944139498e+08 3.9934598793118507e+08 3.9863620515503508e+08 3.9799416866165167e+08 3.9737309970907384e+08 3.9692866575381649e+08 3.9647830636772662e+08 3.9601809052394104e+08 3.9553580079026681e+08 3.9503819131668949e+08 3.9450968775594389e+08 3.9397469324627715e+08 3.9337585300235593e+08 3.9273498961232561e+08 3.9204031618637705e+08 3.9128262881299299e+08 3.9045074289213490e+08 3.8953205892498982e+08 3.8850715546644813e+08 3.8738480010787952e+08 3.8611309893031842e+08 3.8468733841858369e+08 3.8308683544699156e+08 3.8128933122578597e+08 3.7927187158329469e+08 3.7701143200646353e+08 3.7448127759492254e+08 3.7169129733198094e+08 3.6858358235638517e+08 3.6517268154227668e+08 3.6146648378405190e+08 3.5749405723827291e+08 3.5330485893645024e+08 3.4899302453626442e+08 3.4469746579540122e+08 3.4065355081767684e+08 3.3714142059111154e+08 3.3461644221286273e+08 3.3370682489148366e+08 3.3532949343304199e+08 3.4081490018829823e+08 3.5217942348598522e+08 3.7261422963944119e+08 4.0750766650563234e+08 1.9596821915843722e+08 +5.3713904634878427e+00 3.7497485131677043e+08 3.7494211266622394e+08 3.7488728100073004e+08 3.7481835916357547e+08 3.7475602322814852e+08 3.7473038268894696e+08 3.7475397462375212e+08 3.7480464701527482e+08 3.7486109443086332e+08 3.7492040078726643e+08 3.7498668120112598e+08 3.7506171555186653e+08 3.7514663459581280e+08 3.7524325084031194e+08 3.7535389207793957e+08 3.7548110194643283e+08 3.7562801681471980e+08 3.7579853477734464e+08 3.7599727818350303e+08 3.7622960439363694e+08 3.7650176016208041e+08 3.7682097552337921e+08 3.7719600258954179e+08 3.7764153784886307e+08 3.7818057833907640e+08 3.7882704110122824e+08 3.7958891840872461e+08 3.8048124465995753e+08 3.8152426688191557e+08 3.8274138914793324e+08 3.8415897064028895e+08 3.8580637222135431e+08 3.8771592963640559e+08 3.8992276533440286e+08 3.9246436786473745e+08 3.9537976549361807e+08 3.9870827094380820e+08 4.0248755672174639e+08 4.0675098992034113e+08 4.1152389862940729e+08 4.1723409918938106e+08 4.2353775023963231e+08 4.3039072126815939e+08 4.3770262632708436e+08 4.4532630131932253e+08 4.5305029659739619e+08 4.6059788809767747e+08 4.6763652834516293e+08 4.7380140566169477e+08 4.7872948871971220e+08 4.8210138520327562e+08 4.8371334231001353e+08 4.8351630660009241e+08 4.8157183375866586e+08 4.7808053490173584e+08 4.7335175275609797e+08 4.6773229725229400e+08 4.6157158690162158e+08 4.5517263983634442e+08 4.4880121261234146e+08 4.4263432799467802e+08 4.3681752345893830e+08 4.3141744948828417e+08 4.2650177606541902e+08 4.2207666820744604e+08 4.1813565918243623e+08 4.1467817165324175e+08 4.1166653659985095e+08 4.0905702079542786e+08 4.0682594799081784e+08 4.0491576463927400e+08 4.0330492418196917e+08 4.0195166453652954e+08 4.0083043203640109e+08 3.9989170537315714e+08 3.9908067441949910e+08 3.9837119427382642e+08 3.9772950301383716e+08 3.9710881597957373e+08 3.9666467045446813e+08 3.9621460823012155e+08 3.9575469814914966e+08 3.9527272963097334e+08 3.9477545181423950e+08 3.9424730376766533e+08 3.9371265624953961e+08 3.9311421508924365e+08 3.9247377872833687e+08 3.9177956811590511e+08 3.9102238546039152e+08 3.9019105360123116e+08 3.8927298141741145e+08 3.8824876357358277e+08 3.8712714598822236e+08 3.8585629138966089e+08 3.8443147991385394e+08 3.8283204219071019e+08 3.8103573423413265e+08 3.7901961713824219e+08 3.7676068170359075e+08 3.7423221388531280e+08 3.7144408085152936e+08 3.6833843356097138e+08 3.6492980207069314e+08 3.6122607002978790e+08 3.5725628625925040e+08 3.5306987489598906e+08 3.4876090898812771e+08 3.4446821073114127e+08 3.4042697769062781e+08 3.3691718410277492e+08 3.3439388579071045e+08 3.3348487688602853e+08 3.3510646689043534e+08 3.4058822458084172e+08 3.5194518860669190e+08 3.7236640704187542e+08 4.0723662457903898e+08 1.9553454883077472e+08 +5.3763587862621005e+00 3.7573669339719105e+08 3.7570386661452246e+08 3.7564888922165352e+08 3.7557977615483600e+08 3.7551724297644806e+08 3.7549146836632097e+08 3.7551501891757888e+08 3.7556569200671953e+08 3.7562212754038876e+08 3.7568139609062195e+08 3.7574761590749657e+08 3.7582256436334771e+08 3.7590736687711895e+08 3.7600383078781217e+08 3.7611427843658012e+08 3.7624124677943408e+08 3.7638786412154704e+08 3.7655801919345009e+08 3.7675632341760755e+08 3.7698812109109497e+08 3.7725964352570444e+08 3.7757810210992575e+08 3.7795222260354400e+08 3.7839665618196487e+08 3.7893435245491493e+08 3.7957920277248526e+08 3.8033916638038206e+08 3.8122922772476351e+08 3.8226957201542091e+08 3.8348353009155726e+08 3.8489737486309749e+08 3.8654036565188468e+08 3.8844471876497418e+08 3.9064541635690641e+08 3.9317978256091446e+08 3.9608665347157651e+08 3.9940511825841922e+08 4.0317259102738196e+08 4.0742214304328275e+08 4.1217876807138026e+08 4.1786837036302835e+08 4.2414772379275948e+08 4.3097218276926613e+08 4.3825086562052703e+08 4.4583618986377954e+08 4.5351644559378767e+08 4.6101490658030772e+08 4.6799938690865916e+08 4.7410588607171625e+08 4.7897266488151240e+08 4.8228206001249242e+08 4.8383228465539879e+08 4.8357624278222585e+08 4.8157724807600522e+08 4.7803717426075959e+08 4.7326603000877839e+08 4.6761071941778964e+08 4.6142029192263561e+08 4.5499711170276481e+08 4.4860612103215104e+08 4.4242355649045593e+08 4.3659420505763054e+08 4.3118411490778512e+08 4.2626041767825252e+08 4.2182889038235909e+08 4.1788275958859044e+08 4.1442118625435662e+08 4.1140633910676873e+08 4.0879435276150608e+08 4.0656142632662141e+08 4.0464994525167596e+08 4.0303825533730900e+08 4.0168452706615680e+08 4.0056311756400466e+08 3.9962443436371714e+08 3.9881361901444662e+08 3.9810444537140721e+08 3.9746310251830739e+08 3.9684280025233662e+08 3.9639894512728840e+08 3.9594918203861094e+08 3.9548957972812349e+08 3.9500793452538157e+08 3.9451099053120601e+08 3.9398320028422916e+08 3.9344890212916696e+08 3.9285086265903175e+08 3.9221085611671805e+08 3.9151711134147960e+08 3.9076043670286256e+08 3.8992966252741897e+08 3.8901220612863356e+08 3.8798867834817910e+08 3.8686780346726054e+08 3.8559780098647875e+08 3.8417394475754380e+08 3.8257557925500315e+08 3.8078047539405280e+08 3.7876570963468713e+08 3.7650828819098550e+08 3.7398151797673815e+08 3.7119524436921322e+08 3.6809167830556846e+08 3.6468533100259012e+08 3.6098408082889724e+08 3.5701695714403307e+08 3.5283335097487885e+08 3.4852727234946996e+08 3.4423745328320307e+08 3.4019891983945417e+08 3.3669147819449621e+08 3.3416987095077062e+08 3.3326147441169244e+08 3.3488197880374432e+08 3.4036006352437919e+08 3.5170941874919224e+08 3.7211696038512462e+08 4.0696380656205851e+08 1.9510136003309256e+08 +5.3813271090363584e+00 3.7649488906099784e+08 3.7646197736197335e+08 3.7640685250028813e+08 3.7633755028223139e+08 3.7627482039982158e+08 3.7624891175875527e+08 3.7627242073087502e+08 3.7632309399134552e+08 3.7637951706509638e+08 3.7643874721933192e+08 3.7650490578301299e+08 3.7657976761281478e+08 3.7666445277850026e+08 3.7676076343273556e+08 3.7687101644830453e+08 3.7699774207361555e+08 3.7714406052400643e+08 3.7731385112845004e+08 3.7751171434349608e+08 3.7774298135206479e+08 3.7801386796880031e+08 3.7833156687090856e+08 3.7870477739155948e+08 3.7914810526619405e+08 3.7968445246671802e+08 3.8032768452669770e+08 3.8108572760428631e+08 3.8197351607220602e+08 3.8301117315717256e+08 3.8422195627759409e+08 3.8563205186776525e+08 3.8727061748918372e+08 3.8916974978521293e+08 3.9136429038830245e+08 3.9389139880060762e+08 3.9678971876174057e+08 4.0009811576304561e+08 4.0385374548116726e+08 4.0808938346767306e+08 4.1282968949007559e+08 4.1849865350630534e+08 4.2475366842583948e+08 4.3154957549866730e+08 4.3879500004599309e+08 4.4634194479597396e+08 4.5397844404065633e+08 4.6142777448575574e+08 4.6835811705725139e+08 4.7440628712636214e+08 4.7921184086304682e+08 4.8245884471455759e+08 4.8394747560102087e+08 4.8363258959144652e+08 4.8157925075872082e+08 4.7799058681859863e+08 4.7317726403104264e+08 4.6748627381550378e+08 4.6126629172650671e+08 4.5481902531425446e+08 4.4840860163008523e+08 4.4221047141262293e+08 4.3636867219324315e+08 4.3094865127488762e+08 4.2601700341710389e+08 4.2157911908141178e+08 4.1762791944111508e+08 4.1416230487933016e+08 4.1114428286490959e+08 4.0852985678186131e+08 4.0629510184484917e+08 4.0438234321785045e+08 4.0276981972024494e+08 4.0141563502765524e+08 4.0029405766016060e+08 3.9935542468982667e+08 3.9854482997363681e+08 3.9783596668912959e+08 3.9719497540226477e+08 3.9657506074137491e+08 3.9613149797741735e+08 3.9568203598863810e+08 3.9522274344633007e+08 3.9474142364974749e+08 3.9424481563343489e+08 3.9371738546082824e+08 3.9318343902864677e+08 3.9258580384278041e+08 3.9194622989549327e+08 3.9125295396772444e+08 3.9049679062921655e+08 3.8966657774259925e+08 3.8874974110969740e+08 3.8772690782110524e+08 3.8660678055227023e+08 3.8533763570205951e+08 3.8391474090086043e+08 3.8231745455840164e+08 3.8052356258728361e+08 3.7851015691235512e+08 3.7625425926137084e+08 3.7372919760991108e+08 3.7094479556908047e+08 3.6784332420901120e+08 3.6443927588569671e+08 3.6074052365301263e+08 3.5677607728260368e+08 3.5259529447616965e+08 3.4829212183420378e+08 3.4400520057618493e+08 3.3996938430556166e+08 3.3646430983546013e+08 3.3394440460964221e+08 3.3303662436699605e+08 3.3465603610463125e+08 3.4013042406356645e+08 3.5147212119305748e+08 3.7186589737118024e+08 4.0668922087814867e+08 1.9466865462988818e+08 +5.3862954318106162e+00 3.7724944035758746e+08 3.7721644020395672e+08 3.7716117350538331e+08 3.7709168009422946e+08 3.7702875436862463e+08 3.7700271167389572e+08 3.7702617888496393e+08 3.7707685178768235e+08 3.7713326182707870e+08 3.7719245299596530e+08 3.7725854965392160e+08 3.7733332412991607e+08 3.7741789113418400e+08 3.7751404761437213e+08 3.7762410495806801e+08 3.7775058668215376e+08 3.7789660488363189e+08 3.7806602945370853e+08 3.7826344984436774e+08 3.7849418407471496e+08 3.7876443240536177e+08 3.7908136874092269e+08 3.7945366591183352e+08 3.7989588408846867e+08 3.8043087739678013e+08 3.8107248542691821e+08 3.8182860119244206e+08 3.8271410887188560e+08 3.8374906954565102e+08 3.8495666702532929e+08 3.8636300106732285e+08 3.8799712725817597e+08 3.8989102235175651e+08 3.9207938723475498e+08 3.9459921656754786e+08 3.9748896155588448e+08 4.0078726389181787e+08 4.0453102079773086e+08 4.0875271223411673e+08 4.1347666430188328e+08 4.1912495050134391e+08 4.2535558655840355e+08 4.3212290248953247e+08 4.3933503332674944e+08 4.4684357060649347e+08 4.5443629726467204e+08 4.6183649802714986e+08 4.6871272591229123e+08 4.7470261684487736e+08 4.7944702552378792e+08 4.8263174890703166e+08 4.8405892534217983e+08 4.8368535765426010e+08 4.8157785269398189e+08 4.7794078356006473e+08 4.7308546576916790e+08 4.6735897125265449e+08 4.6110959691394550e+08 4.5463839102767819e+08 4.4820866450882638e+08 4.4199508261172396e+08 4.3614093447974831e+08 4.3071106798725057e+08 4.2577154248548841e+08 4.2132736333711344e+08 4.1737114762327480e+08 4.1390153628325385e+08 4.1088037652118069e+08 4.0826354141101271e+08 4.0602698302474719e+08 4.0411296695416826e+08 4.0249962569700581e+08 4.0114499674668503e+08 4.0002326061977804e+08 3.9908468462195504e+08 3.9827431554680020e+08 3.9756576646124429e+08 3.9692512988605285e+08 3.9630560565379578e+08 3.9586233720242536e+08 3.9541317826897818e+08 3.9495419748345256e+08 3.9447320517290330e+08 3.9397693527947706e+08 3.9344986744528043e+08 3.9291627508484375e+08 3.9231904676511818e+08 3.9167990817630905e+08 3.9098710409100521e+08 3.9023145532008457e+08 3.8940180731048691e+08 3.8848559440600264e+08 3.8746346001649094e+08 3.8634408524358881e+08 3.8507580351092452e+08 3.8365387628945673e+08 3.8205767601309556e+08 3.8026500368847889e+08 3.7825296680450737e+08 3.7599860270169359e+08 3.7347526051903945e+08 3.7069274212686020e+08 3.6759337888386059e+08 3.6419164426258248e+08 3.6049540596795350e+08 3.5653365405797529e+08 3.5235571269672251e+08 3.4805546465023887e+08 3.4377145972970510e+08 3.3973837812446070e+08 3.3623568598866427e+08 3.3371749367843181e+08 3.3281033364361411e+08 3.3442864571810758e+08 3.3989931323764658e+08 3.5123330321207124e+08 3.7161322569574964e+08 4.0641287594327706e+08 1.9423643447060061e+08 +5.3912637545848741e+00 3.7800034024982631e+08 3.7796725904687858e+08 3.7791184710021579e+08 3.7784216367007917e+08 3.7777904367678607e+08 3.7775286699427080e+08 3.7777629226899266e+08 3.7782696428318316e+08 3.7788336071586370e+08 3.7794251231183553e+08 3.7800854641398817e+08 3.7808323281234223e+08 3.7816768084565932e+08 3.7826368223954815e+08 3.7837354287889814e+08 3.7849977952450454e+08 3.7864549612882835e+08 3.7881455310771728e+08 3.7901152887050658e+08 3.7924172822290421e+08 3.7951133581734067e+08 3.7982750672174633e+08 3.8019888718994248e+08 3.8063999170237666e+08 3.8117362633214897e+08 3.8181360460342246e+08 3.8256778632427686e+08 3.8345100536187446e+08 3.8448326048714513e+08 3.8568766172138965e+08 3.8709022194300085e+08 3.8871989454980141e+08 3.9060853618527222e+08 3.9279070677003473e+08 3.9530323591391420e+08 3.9818438211290687e+08 4.0147256314438123e+08 4.0520441775798106e+08 4.0941213044882596e+08 4.1411969398795068e+08 4.1974726329492694e+08 4.2595348067248857e+08 4.3269216683504933e+08 4.3987096924696028e+08 4.4734107184471738e+08 4.5489001064723837e+08 4.6224108346804070e+08 4.6906322064361650e+08 4.7499488328738528e+08 4.7967822775864089e+08 4.8280078221715313e+08 4.8416664409882855e+08 4.8373455761801469e+08 4.8157306478221101e+08 4.7788777547834164e+08 4.7299064617511970e+08 4.6722882253724432e+08 4.6095021808462518e+08 4.5445521919826245e+08 4.4800631976574069e+08 4.4177739993365097e+08 4.3591100152533507e+08 4.3047137443542528e+08 4.2552404408013630e+08 4.2107363217451459e+08 4.1711245301147532e+08 4.1363888921464550e+08 4.1061462871521920e+08 4.0799541519749588e+08 4.0575707833863968e+08 4.0384182487037545e+08 4.0222768162679541e+08 4.0087262054202199e+08 3.9975073473010075e+08 3.9881222242236000e+08 3.9800208397726017e+08 3.9729385291413802e+08 3.9665357418237770e+08 3.9603444318947369e+08 3.9559147099297053e+08 3.9514261706078362e+08 3.9468395001078922e+08 3.9420328725634509e+08 3.9370735762117225e+08 3.9318065437763268e+08 3.9264741842765045e+08 3.9205059954312813e+08 3.9141189906226510e+08 3.9071956980101466e+08 3.8996443884994823e+08 3.8913535928747910e+08 3.8821977405573767e+08 3.8719834295106125e+08 3.8607972553497571e+08 3.8481231238019508e+08 3.8339135886084014e+08 3.8179625152408260e+08 3.8000480656544787e+08 3.7799414713705719e+08 3.7574132629155010e+08 3.7321971443161339e+08 3.7043909171262598e+08 3.6734184993575132e+08 3.6394244366814333e+08 3.6024873523198605e+08 3.5628969484745443e+08 3.5211461292725754e+08 3.4781730799889576e+08 3.4353623785637665e+08 3.3950590832540470e+08 3.3600561361087018e+08 3.3348914506173438e+08 3.3258260912788528e+08 3.3419981456431776e+08 3.3966673807886845e+08 3.5099297207298172e+08 3.7135895304779994e+08 4.0613478016640133e+08 1.9380470138966107e+08 +5.3962320773591319e+00 3.7874759356428009e+08 3.7871442657929397e+08 3.7865887095366186e+08 3.7858900062130350e+08 3.7852568703482646e+08 3.7849937667693204e+08 3.7852275983913571e+08 3.7857343043262696e+08 3.7862981268852866e+08 3.7868892412471241e+08 3.7875489502422667e+08 3.7882949262435061e+08 3.7891382088134336e+08 3.7900966628154075e+08 3.7911932919075948e+08 3.7924531958824843e+08 3.7939073325504726e+08 3.7955942109687400e+08 3.7975595044021630e+08 3.7998561282904047e+08 3.8025457725359094e+08 3.8056997988229501e+08 3.8094044031815612e+08 3.8138042722947270e+08 3.8191269843005550e+08 3.8255104125362337e+08 3.8330328224695063e+08 3.8418420484669739e+08 3.8521374535408217e+08 3.8641493981869423e+08 3.8781371404240185e+08 3.8943891902224141e+08 3.9132229107443589e+08 3.9349824893352968e+08 3.9600345695683420e+08 3.9887598075739235e+08 4.0215401408764333e+08 4.0587393720859611e+08 4.1006763928253746e+08 4.1475878009423590e+08 4.2036559389728141e+08 4.2654735331338811e+08 4.3325737169147605e+08 4.4040281164946544e+08 4.4783445311656719e+08 4.5533958962425202e+08 4.6264153712280053e+08 4.6940960846681213e+08 4.7528309455636835e+08 4.7990545649899870e+08 4.8296595430316406e+08 4.8427064211396319e+08 4.8378020014686573e+08 4.8156489793580699e+08 4.7783157357447809e+08 4.7289281620434177e+08 4.6709583847971922e+08 4.6078816583614290e+08 4.5426952017730093e+08 4.4780157749584383e+08 4.4155743321946418e+08 4.3567888293324590e+08 4.3022958000497198e+08 4.2527451739119816e+08 4.2081793461330873e+08 4.1685184447586513e+08 4.1337437241523188e+08 4.1034704807955384e+08 4.0772548668207574e+08 4.0548539625072449e+08 4.0356892536829889e+08 4.0195399586097836e+08 4.0059851472508812e+08 3.9947648827088028e+08 3.9853804634621167e+08 3.9772814350079846e+08 3.9702023426765794e+08 3.9638031649668640e+08 3.9576158154056287e+08 3.9531890753212607e+08 3.9487036053782618e+08 3.9441200919271570e+08 3.9393167805489546e+08 3.9343609080220461e+08 3.9290975439208472e+08 3.9237687717862689e+08 3.9178047028672838e+08 3.9114221065092683e+08 3.9045035918050945e+08 3.8969574928494173e+08 3.8886724172355604e+08 3.8795228808914262e+08 3.8693156463371974e+08 3.8581370941271710e+08 3.8454717027017224e+08 3.8312719654578024e+08 3.8153318898873299e+08 3.7974297907880479e+08 3.7773370572916645e+08 3.7548243780289763e+08 3.7296256706787986e+08 3.7018385198877531e+08 3.6708874496316040e+08 3.6369168163061106e+08 3.6000051889745098e+08 3.5604420702047086e+08 3.5187200245105755e+08 3.4757765907504177e+08 3.4329954206204808e+08 3.3927198193166012e+08 3.3577409965246856e+08 3.3325936565798360e+08 3.3235345769918084e+08 3.3396954955601525e+08 3.3943270561350775e+08 3.5075113503687394e+08 3.7110308710909528e+08 4.0585494194870275e+08 1.9337345720654437e+08 +5.4012004001333898e+00 3.7949119931046450e+08 3.7945794455743653e+08 3.7940224935830075e+08 3.7933219075761354e+08 3.7926868325491458e+08 3.7924223975238597e+08 3.7926558061959648e+08 3.7931624925827348e+08 3.7937261676881558e+08 3.7943168746007299e+08 3.7949759451203185e+08 3.7957210259699243e+08 3.7965631027737570e+08 3.7975199878141683e+08 3.7986146294099283e+08 3.7998720592698616e+08 3.8013231532498699e+08 3.8030063249303204e+08 3.8049671363772577e+08 3.8072583699304903e+08 3.8099415583027649e+08 3.8130878735854679e+08 3.8167832445618659e+08 3.8211718985756016e+08 3.8264809291262287e+08 3.8328479464178169e+08 3.8403508827378255e+08 3.8491370669805855e+08 3.8594052358661598e+08 3.8713850083740741e+08 3.8853347697923744e+08 3.9015420040098226e+08 3.9203228687370813e+08 3.9420201373252672e+08 3.9669987987984866e+08 3.9956375788048995e+08 4.0283161735312867e+08 4.0653958006155384e+08 4.1071923997219509e+08 4.1539392423122621e+08 4.2097994438223702e+08 4.2713720708947766e+08 4.3381852027508414e+08 4.4093056443714303e+08 4.4832371908592713e+08 4.5578503968558156e+08 4.6303786535735744e+08 4.6975189664327627e+08 4.7556725879494929e+08 4.8012872071112728e+08 4.8312727485250187e+08 4.8437092965540278e+08 4.8382229592241865e+08 4.8155336308113158e+08 4.7777218885819560e+08 4.7279198681642151e+08 4.6696002989078927e+08 4.6062345076692331e+08 4.5408130431453437e+08 4.4759444778820539e+08 4.4133519230508375e+08 4.3544458830024666e+08 4.2998569407468879e+08 4.2502297160330296e+08 4.2056027966478312e+08 4.1658933087866306e+08 4.1310799461894989e+08 4.1007764323972130e+08 4.0745376439835691e+08 4.0521194521829921e+08 4.0329427684302980e+08 4.0167857674392748e+08 4.0032268759968615e+08 3.9920052951420617e+08 3.9826216464156413e+08 3.9745250234503931e+08 3.9674491873337865e+08 3.9610536502724224e+08 3.9548702889240581e+08 3.9504465499581546e+08 3.9459641686640000e+08 3.9413838318643695e+08 3.9365838571526057e+08 3.9316314295977950e+08 3.9263717561374962e+08 3.9210465945283520e+08 3.9150866709814817e+08 3.9087085103077042e+08 3.9017948030339837e+08 3.8942539468504959e+08 3.8859746266100681e+08 3.8768314452947640e+08 3.8666313306767923e+08 3.8554604485572976e+08 3.8428038513348460e+08 3.8286139726798666e+08 3.8126849629777652e+08 3.7947952908215445e+08 3.7747165039298594e+08 3.7522194500191760e+08 3.7270382614105928e+08 3.6992703061153555e+08 3.6683407155819190e+08 3.6343936567189234e+08 3.5975076440923023e+08 3.5579719794128686e+08 3.5162788854585761e+08 3.4733652506701922e+08 3.4306137944748080e+08 3.3903660595911646e+08 3.3554115105785614e+08 3.3302816235964572e+08 3.3212288623121673e+08 3.3373785760042161e+08 3.3919722286159229e+08 3.5050779935756135e+08 3.7084563555481499e+08 4.0557336968382794e+08 1.9294270372582141e+08 +5.4061687229076476e+00 3.8023115493017274e+08 3.8019781658520210e+08 3.8014197782075202e+08 3.8007173215640485e+08 3.8000803143052870e+08 3.7998145532042664e+08 3.8000475369936740e+08 3.8005541984936434e+08 3.8011177204712325e+08 3.8017080140946877e+08 3.8023664397263443e+08 3.8031106182873660e+08 3.8039514813594300e+08 3.8049067884648561e+08 3.8059994324245065e+08 3.8072543766181535e+08 3.8087024146769357e+08 3.8103818643637466e+08 3.8123381761466604e+08 3.8146239987880588e+08 3.8173007072968286e+08 3.8204392835269159e+08 3.8241253883063138e+08 3.8285027884152925e+08 3.8337980906925666e+08 3.8401486409872127e+08 3.8476320378449613e+08 3.8563951035357285e+08 3.8666359469097394e+08 3.8785834436444265e+08 3.8924951043503630e+08 3.9086573847711653e+08 3.9273852350395977e+08 3.9490200123930526e+08 3.9739250493350589e+08 4.0024771393896031e+08 4.0350537363871759e+08 4.0720134729439873e+08 4.1136693381862414e+08 4.1602512807351804e+08 4.2159031688814735e+08 4.2772304467069864e+08 4.3437561586389107e+08 4.4145423157151055e+08 4.4880887447233790e+08 4.5622636637517220e+08 4.6343007458649105e+08 4.7009009248072737e+08 4.7584738418785018e+08 4.8034802939786386e+08 4.8328475358152515e+08 4.8446751701372087e+08 4.8386085564478958e+08 4.8153847115566915e+08 4.7770963234601706e+08 4.7268816897524703e+08 4.6682140758247072e+08 4.6045608347192025e+08 4.5389058195586783e+08 4.4738494072895002e+08 4.4111068702078092e+08 4.3520812721778274e+08 4.2973972601709604e+08 4.2476941589302486e+08 4.2030067633422399e+08 4.1632492107524389e+08 4.1283976455296868e+08 4.0980642281313020e+08 4.0718025687206393e+08 4.0493673369155973e+08 4.0301788768137050e+08 4.0140143261176318e+08 4.0004514746194774e+08 3.9892286672519791e+08 3.9798458554825342e+08 3.9717516873062044e+08 3.9646791451582348e+08 3.9582872796393722e+08 3.9521079342174983e+08 3.9476872155160886e+08 3.9432079420534003e+08 3.9386308014066148e+08 3.9338341837688410e+08 3.9288852222254729e+08 3.9236292616126007e+08 3.9183077335758102e+08 3.9123519807230717e+08 3.9059782828387541e+08 3.8990694123824096e+08 3.8915338310151380e+08 3.8832603013450187e+08 3.8741235139297366e+08 3.8639305624707556e+08 3.8527673983599383e+08 3.8401196491577864e+08 3.8259396894333357e+08 3.8100218133436280e+08 3.7921446442165786e+08 3.7720798893321919e+08 3.7495985564605129e+08 3.7244349935742533e+08 3.6966863522939169e+08 3.6657783730524504e+08 3.6318550330647874e+08 3.5949947920600975e+08 3.5554867496575630e+08 3.5138227848118114e+08 3.4709391315648019e+08 3.4282175710524291e+08 3.3879978741825539e+08 3.3530677476442975e+08 3.3279554205184126e+08 3.3189090159102392e+08 3.3350474559761739e+08 3.3896029683659869e+08 3.5026297228207487e+08 3.7058660605233204e+08 4.0529007175719011e+08 1.9251244273720935e+08 +5.4111370456819055e+00 3.8096745798951238e+08 3.8093403319528443e+08 3.8087805538505870e+08 3.8080762363463789e+08 3.8074373087421727e+08 3.8071702254189676e+08 3.8074027823323154e+08 3.8079094136059725e+08 3.8084727768000597e+08 3.8090626513115203e+08 3.8097204256621003e+08 3.8104636948407853e+08 3.8113033362603337e+08 3.8122570565005058e+08 3.8133476927564019e+08 3.8146001397966248e+08 3.8160451087877506e+08 3.8177208213222855e+08 3.8196726158864456e+08 3.8219530072014606e+08 3.8246232120049995e+08 3.8277540213392854e+08 3.8314308273338532e+08 3.8357969350229067e+08 3.8410784625568604e+08 3.8474124902186602e+08 3.8548762822577703e+08 3.8636161531800699e+08 3.8738295823956871e+08 3.8857447005146199e+08 3.8996181415615678e+08 3.9157353310800165e+08 3.9344100095236993e+08 3.9559821159236354e+08 3.9808133243275672e+08 4.0092784945503062e+08 4.0417528370731241e+08 4.0785923994911879e+08 4.1201072218784267e+08 4.1665239335936487e+08 4.2219671361460918e+08 4.2830486878914714e+08 4.3492866179553014e+08 4.4197381707350689e+08 4.4928992405261385e+08 4.5666357528994268e+08 4.6381817127492952e+08 4.7042420333268100e+08 4.7612347895946121e+08 4.8056339159588850e+08 4.8343840023618460e+08 4.8456041450227654e+08 4.8389589003037447e+08 4.8152023310887831e+08 4.7764391506249946e+08 4.7258137364846975e+08 4.6667998236659318e+08 4.6028607454630870e+08 4.5369736344362366e+08 4.4717306639870960e+08 4.4088392719178742e+08 4.3496950927064627e+08 4.2949168519810134e+08 4.2451385943053126e+08 4.2003913361952382e+08 4.1605862391378754e+08 4.1256969093659139e+08 4.0953339541030937e+08 4.0690497262151909e+08 4.0465977011215591e+08 4.0273976626241225e+08 4.0112257179318768e+08 3.9976590260029119e+08 3.9864350816072464e+08 3.9770531729887229e+08 3.9689615087009436e+08 3.9618922981147325e+08 3.9555041348942381e+08 3.9493288329796165e+08 3.9449111536017179e+08 3.9404350070570570e+08 3.9358610819736862e+08 3.9310678417157841e+08 3.9261223671234888e+08 3.9208701414484090e+08 3.9155522699258709e+08 3.9096007129666597e+08 3.9032315048427659e+08 3.8963275004400301e+08 3.8887972257875824e+08 3.8805295217101485e+08 3.8713991668758243e+08 3.8612134215942484e+08 3.8500580231741130e+08 3.8374191755479795e+08 3.8232491948060358e+08 3.8073425197422791e+08 3.7894779293607920e+08 3.7694272914687312e+08 3.7469617748646271e+08 3.7218159441582417e+08 3.6940867348410022e+08 3.6632004978214771e+08 3.6293010204150128e+08 3.5924667071869487e+08 3.5529864544359225e+08 3.5113517952116251e+08 3.4684983051814669e+08 3.4258068212210047e+08 3.3856153331219882e+08 3.3507097770346373e+08 3.3256151161456239e+08 3.3165751063902140e+08 3.3327022044163692e+08 3.3872193454501939e+08 3.5001666105072325e+08 3.7032600626214981e+08 4.0500505654636937e+08 1.9208267601562393e+08 +5.4161053684561633e+00 3.8170011393507594e+08 3.8166660163084358e+08 3.8161048331313699e+08 3.8153986470902050e+08 3.8147578091689128e+08 3.8144894063080281e+08 3.8147215343882716e+08 3.8152281301274669e+08 3.8157913288999420e+08 3.8163807784997082e+08 3.8170378952035028e+08 3.8177802479326761e+08 3.8186186598235130e+08 3.8195707843246186e+08 3.8206594028696668e+08 3.8219093413396543e+08 3.8233512282052112e+08 3.8250231885295653e+08 3.8269704484402412e+08 3.8292453881410336e+08 3.8319090655839348e+08 3.8350320803744948e+08 3.8386995552379322e+08 3.8430543322720027e+08 3.8483220389352477e+08 3.8546394887444240e+08 3.8620836111000782e+08 3.8708002116147977e+08 3.8809861387117785e+08 3.8928687761818153e+08 3.9067038795550442e+08 3.9227758421682668e+08 3.9413971927103126e+08 3.9629064499545389e+08 3.9876636275926977e+08 4.0160416501621312e+08 4.0484134838617188e+08 4.0851325913251013e+08 4.1265060650892764e+08 4.1727572189087504e+08 4.2279913682517505e+08 4.2888268223847550e+08 4.3547766146860510e+08 4.4248932502105546e+08 4.4976687265903759e+08 4.5709667207995540e+08 4.6420216193736035e+08 4.7075423659625840e+08 4.7639555137446201e+08 4.8077481637606078e+08 4.8358822459018373e+08 4.8464963245658833e+08 4.8392740981307417e+08 4.8149865990204883e+08 4.7757504803916413e+08 4.7247161180608261e+08 4.6653576505629820e+08 4.6011343458138245e+08 4.5350165911673659e+08 4.4695883487383217e+08 4.4065492263735807e+08 4.3472874403773689e+08 4.2924158097691840e+08 4.2425631137884736e+08 4.1977566051128614e+08 4.1579044823500276e+08 4.1229778248218250e+08 4.0925856963396931e+08 4.0662792015744776e+08 4.0438106291426939e+08 4.0245992095762950e+08 4.0084200260903984e+08 3.9948496129500365e+08 3.9836246206973690e+08 3.9742436811746204e+08 3.9661545696843642e+08 3.9590887280894750e+08 3.9527042977851528e+08 3.9465330668320805e+08 3.9421184457400250e+08 3.9376454451058364e+08 3.9330747549046201e+08 3.9282849122286701e+08 3.9233429454269671e+08 3.9180944766769242e+08 3.9127802844880241e+08 3.9068329485052067e+08 3.9004682569836277e+08 3.8935691477333599e+08 3.8860442115336412e+08 3.8777823678999949e+08 3.8686584841402709e+08 3.8584799878396243e+08 3.8473324025597870e+08 3.8347025098100471e+08 3.8205425678039825e+08 3.8046471608540285e+08 3.7867952245674700e+08 3.7667587882389897e+08 3.7443091826660758e+08 3.7191811900753683e+08 3.6914715300885963e+08 3.6606071655906069e+08 3.6267316937755811e+08 3.5899234637135822e+08 3.5504711671729732e+08 3.5088659892165494e+08 3.4660428431987447e+08 3.4233816157767636e+08 3.3832185063762933e+08 3.3483376679955643e+08 3.3232607791967756e+08 3.3142272022918737e+08 3.3303428901990002e+08 3.3848214298671764e+08 3.4976887289698374e+08 3.7006384383737975e+08 4.0471833242143780e+08 1.9165340532123071e+08 +5.4210736912304212e+00 3.8242910758926606e+08 3.8239551467670238e+08 3.8233925865106052e+08 3.8226845489081687e+08 3.8220418082336253e+08 3.8217720885110807e+08 3.8220037859768850e+08 3.8225103409175706e+08 3.8230733696553540e+08 3.8236623885563469e+08 3.8243188412763274e+08 3.8250602705298990e+08 3.8258974450579751e+08 3.8268479649900681e+08 3.8279345558782709e+08 3.8291819744420695e+08 3.8306207661999029e+08 3.8322889593588006e+08 3.8342316673038262e+08 3.8365011352506059e+08 3.8391582618405151e+08 3.8422734546367556e+08 3.8459315662610853e+08 3.8502749746928632e+08 3.8555288147088319e+08 3.8618296318555850e+08 3.8692540201561397e+08 3.8779472752031797e+08 3.8881056128974694e+08 3.8999556684839666e+08 3.9137523171154863e+08 3.9297789179219854e+08 3.9483467857817310e+08 3.9697930171809632e+08 3.9944759635854548e+08 4.0227666127454418e+08 4.0550356856815952e+08 4.0916340601548696e+08 4.1328658827552098e+08 4.1789511553299880e+08 4.2339758884474874e+08 4.2945648787361223e+08 4.3602261834102720e+08 4.4300075955131835e+08 4.5023972517907149e+08 4.5752566244770670e+08 4.6458205313725752e+08 4.7108019971434748e+08 4.7666360973670071e+08 4.8098231284395301e+08 4.8373423644595391e+08 4.8473518123560601e+08 4.8395542574344152e+08 4.8147376250817555e+08 4.7750304231355166e+08 4.7235889442244679e+08 4.6638876646494049e+08 4.5993817416794008e+08 4.5330347931083190e+08 4.4674225622507751e+08 4.4042368317116672e+08 4.3448584109143293e+08 4.2898942270541948e+08 4.2399678089397669e+08 4.1951026599233496e+08 4.1552040287165248e+08 4.1202404789320850e+08 4.0898195407841676e+08 4.0634910798202085e+08 4.0410062052438146e+08 4.0217836013106894e+08 4.0055973337220752e+08 3.9920233181850868e+08 3.9807973669268966e+08 3.9714174622006124e+08 3.9633309522176784e+08 3.9562685168839312e+08 3.9498878499789619e+08 3.9437207173110271e+08 3.9393091733717859e+08 3.9348393375530398e+08 3.9302719014499080e+08 3.9254854764648300e+08 3.9205470381893116e+08 3.9153023482477689e+08 3.9099918581076306e+08 3.9040487680535454e+08 3.8976886198405296e+08 3.8907944346976662e+08 3.8832748685379785e+08 3.8750189200277495e+08 3.8659015456457996e+08 3.8557303409231126e+08 3.8445906160075653e+08 3.8319697311657667e+08 3.8178198873631978e+08 3.8019358152827054e+08 3.7840966080695808e+08 3.7640744574651510e+08 3.7416408572210062e+08 3.7165308081643021e+08 3.6888408143102783e+08 3.6579984519855636e+08 3.6241471280705839e+08 3.5873651358111644e+08 3.5479409612208909e+08 3.5063654393281394e+08 3.4635728172282058e+08 3.4209420254472905e+08 3.3808074638392764e+08 3.3459514896993136e+08 3.3208924783339810e+08 3.3118653720875400e+08 3.3279695821316475e+08 3.3824092915512574e+08 3.4951961504700500e+08 3.6980012642386967e+08 4.0442990774363935e+08 1.9122463239949644e+08 +5.4260420140046790e+00 3.8315444989846218e+08 3.8312077817096734e+08 3.8306437953803319e+08 3.8299339336818093e+08 3.8292892985593200e+08 3.8290182652899051e+08 3.8292495305435908e+08 3.8297560394837964e+08 3.8303188925952238e+08 3.8309074750425577e+08 3.8315632574730647e+08 3.8323037562523365e+08 3.8331396856264019e+08 3.8340885922235668e+08 3.8351731455626678e+08 3.8364180329471767e+08 3.8378537167107588e+08 3.8395181278492808e+08 3.8414562666307688e+08 3.8437202428283083e+08 3.8463707952400392e+08 3.8494781387960792e+08 3.8531268553057098e+08 3.8574588574693757e+08 3.8626987854004580e+08 3.8689829154968661e+08 3.8763875058585155e+08 3.8850573409571999e+08 3.8951880026494956e+08 3.9070053759168744e+08 3.9207634536773705e+08 3.9367445588813186e+08 3.9552587905674464e+08 3.9766418209445214e+08 4.0012503374181318e+08 4.0294533894711399e+08 4.0616194520959032e+08 4.0980968183310193e+08 4.1391866904455334e+08 4.1851057621405429e+08 4.2399207206141484e+08 4.3002628861032277e+08 4.3656353593025088e+08 4.4350812485800093e+08 4.5070848655596787e+08 4.5795055214834899e+08 4.6495785148578352e+08 4.7140210017413813e+08 4.7692766239022601e+08 4.8118589013850749e+08 4.8387644563426852e+08 4.8481707121919304e+08 4.8397994858704329e+08 4.8144555191057867e+08 4.7742790893130338e+08 4.7224323247323573e+08 4.6623899740494365e+08 4.5976030389386606e+08 4.5310283435705239e+08 4.4652334051938790e+08 4.4019021860093379e+08 4.3424080999704224e+08 4.2873521972962034e+08 4.2373527712456805e+08 4.1924295903920454e+08 4.1524849664941651e+08 4.1174849586647648e+08 4.0870355733080405e+08 4.0606854459028393e+08 4.0381845136014098e+08 4.0189509213738859e+08 4.0027577238716578e+08 3.9891802243552768e+08 3.9779534026291549e+08 3.9685745981582320e+08 3.9604907381910312e+08 3.9534317462292427e+08 3.9470548730619007e+08 3.9408918658685440e+08 3.9364834178635615e+08 3.9320167656708616e+08 3.9274526027934241e+08 3.9226696155073822e+08 3.9177347263875693e+08 3.9124938370225519e+08 3.9071870715365636e+08 3.9012482522441161e+08 3.8948926739208823e+08 3.8880034416977561e+08 3.8804892770050478e+08 3.8722392581329519e+08 3.8631284312448418e+08 3.8529645604859209e+08 3.8418327429191077e+08 3.8292209187637669e+08 3.8150812323373681e+08 3.7992085615567225e+08 3.7813821580257118e+08 3.7613743768893093e+08 3.7389568758089191e+08 3.7138648751919436e+08 3.6861946636948729e+08 3.6553744325627375e+08 3.6215473981559408e+08 3.5847917975715196e+08 3.5453959098632419e+08 3.5038502179578853e+08 3.4610882988027799e+08 3.4184881208915186e+08 3.3783822753438377e+08 3.3435513112580937e+08 3.3185102821494460e+08 3.3094896841836929e+08 3.3255823489478570e+08 3.3799830003593481e+08 3.4926889471985811e+08 3.6953486165917951e+08 4.0413979086565316e+08 1.9079635898124072e+08 +5.4310103367789369e+00 3.8387614333431417e+08 3.8384238789118135e+08 3.8378584938958788e+08 3.8371468001202703e+08 3.8365002734740740e+08 3.8362279307085711e+08 3.8364587621984309e+08 3.8369652199745935e+08 3.8375278919072276e+08 3.8381160321708292e+08 3.8387711380240178e+08 3.8395106993760127e+08 3.8403453758489347e+08 3.8412926603798395e+08 3.8423751663542318e+08 3.8436175113557082e+08 3.8450500743224704e+08 3.8467106886891401e+08 3.8486442412322611e+08 3.8509027058262938e+08 3.8535466609012002e+08 3.8566461281653851e+08 3.8602854179275578e+08 3.8646059764427817e+08 3.8698319472031724e+08 3.8760993362699145e+08 3.8834840653034699e+08 3.8921304065524942e+08 3.9022333063173747e+08 3.9140178976345897e+08 3.9277372893295586e+08 3.9436727662342179e+08 3.9621332095510340e+08 3.9834528652346313e+08 4.0079867548411846e+08 4.0361019881507397e+08 4.0681647933130074e+08 4.1045208788360167e+08 4.1454685043625653e+08 4.1912210592414111e+08 4.2458258892404073e+08 4.3059208742489797e+08 4.3710041781276971e+08 4.4401142519259524e+08 4.5117316178756225e+08 4.5837134698819256e+08 4.6532956364370042e+08 4.7171994550592959e+08 4.7718771771663165e+08 4.8138555743203342e+08 4.8401486201192844e+08 4.8489531280926132e+08 4.8400098912702513e+08 4.8141403910382950e+08 4.7734965894297546e+08 4.7212463693829393e+08 4.6608646868869722e+08 4.5957983434463620e+08 4.5289973458279991e+08 4.4630209781655616e+08 4.3995453872777933e+08 4.3399366031434333e+08 4.2847898138708365e+08 4.2347180921205312e+08 4.1897374861880815e+08 4.1497473838499337e+08 4.1147113509000897e+08 4.0842338796939272e+08 4.0578623846847260e+08 4.0353456383177978e+08 4.0161012532384443e+08 3.9999012795038152e+08 3.9863204140130925e+08 3.9750928100480491e+08 3.9657151710365015e+08 3.9576340094066870e+08 3.9505784977644932e+08 3.9442054485350496e+08 3.9380465938801688e+08 3.9336412604940176e+08 3.9291778106428206e+08 3.9246169400274843e+08 3.9198374103530079e+08 3.9149060909212053e+08 3.9096690237926620e+08 3.9043660054539090e+08 3.8984314816341507e+08 3.8920804996454352e+08 3.8851962490153474e+08 3.8776875170650250e+08 3.8694434621708530e+08 3.8603392206993747e+08 3.8501827260833567e+08 3.8390588626265222e+08 3.8264561516710627e+08 3.8123266814987963e+08 3.7964654781212884e+08 3.7786519525183731e+08 3.7586586241788894e+08 3.7362573156372660e+08 3.7111834678409916e+08 3.6835331543540472e+08 3.6527351827955878e+08 3.6189325788116556e+08 3.5822035230116951e+08 3.5428360863021219e+08 3.5013203974626470e+08 3.4585893593912548e+08 3.4160199726932901e+08 3.3759430106451249e+08 3.3411372017087841e+08 3.3161142591609210e+08 3.3071002069113868e+08 3.3231812593131685e+08 3.3775426260833377e+08 3.4901671912749898e+08 3.6926805717367870e+08 4.0384799013306385e+08 1.9036858678268716e+08 +5.4359786595531947e+00 3.8459417689905679e+08 3.8456033940192419e+08 3.8450366781251293e+08 3.8443231344268191e+08 3.8436747279312938e+08 3.8434010797393042e+08 3.8436314757139099e+08 3.8441378771901453e+08 3.8447003624197143e+08 3.8452880548051375e+08 3.8459424778316128e+08 3.8466810948232681e+08 3.8475145106912231e+08 3.8484601644857484e+08 3.8495406133317465e+08 3.8507804048296481e+08 3.8522098342671943e+08 3.8538666372200543e+08 3.8557955865640712e+08 3.8580485198429680e+08 3.8606858545931059e+08 3.8637774187190247e+08 3.8674072503331959e+08 3.8717163280984896e+08 3.8769282969458950e+08 3.8831788914227074e+08 3.8905436962257582e+08 3.8991664702967381e+08 3.9092415228994960e+08 3.9209932334247321e+08 3.9346738248061150e+08 3.9505635418175095e+08 3.9689700458517992e+08 3.9902261546902817e+08 4.0146852222555500e+08 4.0427124172360092e+08 4.0746717201724702e+08 4.1109062552885175e+08 4.1517113413318610e+08 4.1972970671567303e+08 4.2516914194305402e+08 4.3115388735415685e+08 4.3763326762403023e+08 4.4451066486355931e+08 4.5163375592609489e+08 4.5878805282566601e+08 4.6569719631818873e+08 4.7203374328425306e+08 4.7744378413693851e+08 4.8158132393012542e+08 4.8414949546398896e+08 4.8496991642855340e+08 4.8401855816046041e+08 4.8137923509264314e+08 4.7726830340530205e+08 4.7200311879893708e+08 4.6593119112866670e+08 4.5939677610282904e+08 4.5269419031065017e+08 4.4607853817265159e+08 4.3971665334733003e+08 4.3374440159482825e+08 4.2822071700892460e+08 4.2320638628945726e+08 4.1870264369135058e+08 4.1469913688834530e+08 4.1119197424411261e+08 4.0814145456498051e+08 4.0550219809467512e+08 4.0324896634100175e+08 4.0132346802939248e+08 3.9970280834946024e+08 3.9834439696419644e+08 3.9722156713422751e+08 3.9628392627573264e+08 3.9547608475831133e+08 3.9477088530448186e+08 3.9413396578174162e+08 3.9351849826383579e+08 3.9307827824670374e+08 3.9263225535813874e+08 3.9217649941622984e+08 3.9169889419086927e+08 3.9120612125963897e+08 3.9068279892621166e+08 3.9015287404563797e+08 3.8955985366962123e+08 3.8892521773563832e+08 3.8823729368455654e+08 3.8748696687552661e+08 3.8666316120058203e+08 3.8575339936963689e+08 3.8473849171904564e+08 3.8362690543741649e+08 3.8236755088715935e+08 3.8095563135446751e+08 3.7937066433406711e+08 3.7759060695395839e+08 3.7559272769189590e+08 3.7335422538249683e+08 3.7084866627148348e+08 3.6808563623234391e+08 3.6500807780864024e+08 3.6163027447355747e+08 3.5796003860811847e+08 3.5402615636702496e+08 3.4987760501111472e+08 3.4560760703868341e+08 3.4135376513682961e+08 3.3734897394281441e+08 3.3387092300220555e+08 3.3137044778205150e+08 3.3046970085397768e+08 3.3207663818284535e+08 3.3750882384448463e+08 3.4876309547404939e+08 3.6899972059022927e+08 4.0355451388158894e+08 1.8994131750551495e+08 +5.4409469823274526e+00 3.8530855776299620e+08 3.8527463600733161e+08 3.8521783122449261e+08 3.8514629404611087e+08 3.8508126587344521e+08 3.8505377081880027e+08 3.8507676665517598e+08 3.8512740065733951e+08 3.8518362996121150e+08 3.8524235384566110e+08 3.8530772724338490e+08 3.8538149381688267e+08 3.8546470857716215e+08 3.8555911002075994e+08 3.8566694822246826e+08 3.8579067091619718e+08 3.8593329924407393e+08 3.8609859694254601e+08 3.8629102987365663e+08 3.8651576811279380e+08 3.8677883727357203e+08 3.8708720070708323e+08 3.8744923493748212e+08 3.8787899095802444e+08 3.8839878321161336e+08 3.8902215788508552e+08 3.8975663970124531e+08 3.9061655311600864e+08 3.9162126520377690e+08 3.9279313837345624e+08 3.9415730614856863e+08 3.9574168881081468e+08 3.9757693032393080e+08 3.9969616945777106e+08 4.0213457466945225e+08 4.0492846858173323e+08 4.0811402441534865e+08 4.1172529619422805e+08 4.1579152188055891e+08 4.2033338070394456e+08 4.2575173369012213e+08 4.3171169149414486e+08 4.3816208905757880e+08 4.4500584823520601e+08 4.5209027407861173e+08 4.5920067556961495e+08 4.6606075626462835e+08 4.7234350112575394e+08 4.7769587011020291e+08 4.8177319886994267e+08 4.8428035590186238e+08 4.8504089252102113e+08 4.8403266650111586e+08 4.8134115089215446e+08 4.7718385338146126e+08 4.7187868903888774e+08 4.6577317553596407e+08 4.5921113974851274e+08 4.5248621185941428e+08 4.4585267163699687e+08 4.3947657224811912e+08 4.3349304338368404e+08 4.2796043591823399e+08 4.2293901748261595e+08 4.1842965320937157e+08 4.1442170096066540e+08 4.1091102200079119e+08 4.0785776567943192e+08 4.0521643193909764e+08 4.0296166728075773e+08 4.0103512858415705e+08 3.9941382186485153e+08 3.9805509736287242e+08 3.9693220685943443e+08 3.9599469551481533e+08 3.9518713343563277e+08 3.9448228935503864e+08 3.9384575822472787e+08 3.9323071133385926e+08 3.9279080648905396e+08 3.9234510755043632e+08 3.9188968461262918e+08 3.9141242910059822e+08 3.9092001721409541e+08 3.9039708140485603e+08 3.8986753570469230e+08 3.8927494978129315e+08 3.8864077873083782e+08 3.8795335853036457e+08 3.8720358120372599e+08 3.8638037874389434e+08 3.8547128298386067e+08 3.8445712132008713e+08 3.8334633973229063e+08 3.8208790692679000e+08 3.8067702070834935e+08 3.7909321355043471e+08 3.7731445870119202e+08 3.7531804126171118e+08 3.7308117674176395e+08 3.7057745363443094e+08 3.6781643635570168e+08 3.6474112937538606e+08 3.6136579705540156e+08 3.5769824606431997e+08 3.5376724150219774e+08 3.4962172481035477e+08 3.4535485031045407e+08 3.4110412273571920e+08 3.3710225313067883e+08 3.3362674650865501e+08 3.3112810065085828e+08 3.3022801572615689e+08 3.3183377850185037e+08 3.3726199070876104e+08 3.4850803095668918e+08 3.6872985952277225e+08 4.0325937043879908e+08 1.8951455283691043e+08 +5.4459153051017104e+00 3.8601928694565785e+08 3.8598528182130122e+08 3.8592833891589940e+08 3.8585662162222344e+08 3.8579140633032888e+08 3.8576378125086272e+08 3.8578673308475584e+08 3.8583736042248744e+08 3.8589356996000910e+08 3.8595224792801023e+08 3.8601755180161995e+08 3.8609122256320757e+08 3.8617430973539400e+08 3.8626854638614821e+08 3.8637617694110554e+08 3.8649964208005702e+08 3.8664195453677505e+08 3.8680686819398326e+08 3.8699883745036703e+08 3.8722301865748525e+08 3.8748542123903984e+08 3.8779298904877216e+08 3.8815407125484663e+08 3.8858267186670065e+08 3.8910105508374363e+08 3.8972273970982558e+08 3.9045521666972065e+08 3.9131275887462217e+08 3.9231466940147436e+08 3.9348323496444809e+08 3.9484350013893962e+08 3.9642328082266909e+08 3.9825309861232704e+08 4.0036594908163142e+08 4.0279683358320808e+08 4.0558188036123425e+08 4.0875703773667485e+08 4.1235610136701870e+08 4.1640801548638177e+08 4.2093313006509781e+08 4.2633036679725283e+08 4.3226550300108594e+08 4.3868688586517286e+08 4.4549697972904891e+08 4.5254272140446621e+08 4.5960922118054944e+08 4.6642025028589624e+08 4.7264922669058615e+08 4.7794398413255525e+08 4.8196119152211154e+08 4.8440745326318562e+08 4.8510825155029970e+08 4.8404332497627419e+08 4.8129979752640438e+08 4.7709631993969566e+08 4.7175135864340359e+08 4.6561243272082800e+08 4.5902293585789150e+08 4.5227580954254729e+08 4.4562450825317729e+08 4.3923430521191460e+08 4.3323959521898836e+08 4.2769814743122941e+08 4.2266971190947622e+08 4.1815478611675078e+08 4.1414243939463568e+08 4.1062828702327979e+08 4.0757232986659372e+08 4.0492894846230423e+08 4.0267267503592122e+08 4.0074511530960894e+08 3.9912317676657993e+08 3.9776415082827896e+08 3.9664120837874490e+08 3.9570383299560040e+08 3.9489655512741148e+08 3.9419207006668568e+08 3.9355593030716807e+08 3.9294130671118712e+08 3.9250171887982023e+08 3.9205634573501527e+08 3.9160125767620140e+08 3.9112435383931893e+08 3.9063230501978534e+08 3.9010975786850953e+08 3.8958059356556147e+08 3.8898844452886456e+08 3.8835474096727729e+08 3.8766782744168121e+08 3.8691860267861140e+08 3.8609600681677878e+08 3.8518758086458933e+08 3.8417416934241968e+08 3.8306419705513692e+08 3.8180669116774583e+08 3.8039684406479383e+08 3.7881420328098220e+08 3.7703675827670902e+08 3.7504181086935073e+08 3.7280659333779430e+08 3.7030471651724583e+08 3.6754572339305830e+08 3.6447268050416762e+08 3.6109983308121496e+08 3.5743498204847968e+08 3.5350687133358192e+08 3.4936440635653406e+08 3.4510067287863338e+08 3.4085307710225570e+08 3.3685414558204788e+08 3.3338119757303059e+08 3.3088439135345149e+08 3.2998497211980957e+08 3.3158955373361504e+08 3.3701377015881169e+08 3.4825153276464540e+08 3.6845848157806700e+08 4.0296256812288469e+08 1.8908829444961807e+08 +5.4508836278759683e+00 3.8672635433602816e+08 3.8669226917814457e+08 3.8663519179466814e+08 3.8656329580852163e+08 3.8649789382647234e+08 3.8647013896348655e+08 3.8649304654070234e+08 3.8654366668829685e+08 3.8659985591463977e+08 3.8665848740771103e+08 3.8672372114123070e+08 3.8679729540751880e+08 3.8688025423422414e+08 3.8697432524009889e+08 3.8708174719122458e+08 3.8720495368381870e+08 3.8734694902263528e+08 3.8751147720432466e+08 3.8770298112591213e+08 3.8792660337264264e+08 3.8818833712672108e+08 3.8849510668688422e+08 3.8885523380010384e+08 3.8928267537819839e+08 3.8979964518780398e+08 3.9041963453439200e+08 3.9115010049476868e+08 3.9200526433108544e+08 3.9300436497622746e+08 3.9416961328840876e+08 3.9552596471774775e+08 3.9710113059329629e+08 3.9892550995424473e+08 4.0103195499534494e+08 4.0345529979719663e+08 4.0623147809814090e+08 4.0939621325511259e+08 4.1298304259720480e+08 4.1702061682036942e+08 4.2152895703609616e+08 4.2690504395705068e+08 4.3281532509013569e+08 4.3920766185636592e+08 4.4598406382099289e+08 4.5299110311773163e+08 4.6001369566802037e+08 4.6677568523064590e+08 4.7295092768098778e+08 4.7818813473802638e+08 4.8214531118836612e+08 4.8453079751181197e+08 4.8517200400168598e+08 4.8405054442881262e+08 4.8125518603049445e+08 4.7700571415250134e+08 4.7162113859924036e+08 4.6544897349253553e+08 4.5883217500482392e+08 4.5206299366886228e+08 4.4539405805910391e+08 4.3898986201439977e+08 4.3298406663090837e+08 4.2743386085518825e+08 4.2239847868000197e+08 4.1787805134886879e+08 4.1386136097522753e+08 4.1034377796714550e+08 4.0728515567157829e+08 4.0463975611743897e+08 4.0238199798187363e+08 4.0045343651893443e+08 3.9883088131699145e+08 3.9747156558152652e+08 3.9634857988284540e+08 3.9541134688366306e+08 3.9460435797956657e+08 3.9390023556937689e+08 3.9326449014549977e+08 3.9265029249849600e+08 3.9221102351272678e+08 3.9176597799630558e+08 3.9131122668264771e+08 3.9083467647181517e+08 3.9034299273221433e+08 3.8982083636234015e+08 3.8929205566177684e+08 3.8870034593410653e+08 3.8806711245362270e+08 3.8738070841329694e+08 3.8663203927961749e+08 3.8581005338148397e+08 3.8490230095478511e+08 3.8388964370844615e+08 3.8278048530576324e+08 3.8152391148427904e+08 3.8011510926777512e+08 3.7853364133787382e+08 3.7675751345581865e+08 3.7476404424907774e+08 3.7253048285863113e+08 3.7003046255645418e+08 3.6727350492420417e+08 3.6420273871078104e+08 3.6083238999767774e+08 3.5717025393185973e+08 3.5324505315105975e+08 3.4910565685383379e+08 3.4484508186002648e+08 3.4060063526587600e+08 3.3660465824343771e+08 3.3313428307019901e+08 3.3063932671277690e+08 3.2974057683980757e+08 3.3134397071630508e+08 3.3676416914410013e+08 3.4799360807959080e+08 3.6818559435452396e+08 4.0266411524430954e+08 1.8866254400199199e+08 +5.4558519506502261e+00 3.8742976842476618e+08 3.8739560317887193e+08 3.8733838834771812e+08 3.8726631546448630e+08 3.8720072795761299e+08 3.8717284369217688e+08 3.8719570676583570e+08 3.8724631919523662e+08 3.8730248756438625e+08 3.8736107202862167e+08 3.8742623500935203e+08 3.8749971210033441e+08 3.8758254182861096e+08 3.8767644634298176e+08 3.8778365873820633e+08 3.8790660550056189e+08 3.8804828248305362e+08 3.8821242376511544e+08 3.8840346070391047e+08 3.8862652207582659e+08 3.8888758477067685e+08 3.8919355347646314e+08 3.8955272245081389e+08 3.8997900139951152e+08 3.9049455346516949e+08 3.9111284234144080e+08 3.9184129120808679e+08 3.9269406957320362e+08 3.9369035208478785e+08 3.9485227358108515e+08 3.9620470021470726e+08 3.9777523856186426e+08 3.9959416491851658e+08 4.0169418791694605e+08 4.0410997420569831e+08 4.0687726289046782e+08 4.1003155230612969e+08 4.1360612149706918e+08 4.1762932781360161e+08 4.2212086391535628e+08 4.2747576792250061e+08 4.3336116103566164e+08 4.3972442089824891e+08 4.4646710504387635e+08 4.5343542448437750e+08 4.6041410509290934e+08 4.6712706799392939e+08 4.7324861184073251e+08 4.7842833049759102e+08 4.8232556720171618e+08 4.8465039863740140e+08 4.8523216037890410e+08 4.8405433571573460e+08 4.8120732744761169e+08 4.7691204709936142e+08 4.7148803989543813e+08 4.6528280865847385e+08 4.5863886775897533e+08 4.5184777454196870e+08 4.4516133108699870e+08 4.3874325242380607e+08 4.3272646714259499e+08 4.2716758549079591e+08 4.2212532689533991e+08 4.1759945783316255e+08 4.1357847447833580e+08 4.1005750347793043e+08 4.0699625163071644e+08 4.0434886334791917e+08 4.0208964448647022e+08 4.0016010051654482e+08 3.9853694376953751e+08 3.9717734983624911e+08 3.9605432955337983e+08 3.9511724533585489e+08 3.9431055012929261e+08 3.9360679398404896e+08 3.9297144584669709e+08 3.9235767679025900e+08 3.9191872847315556e+08 3.9147401241119856e+08 3.9101959969840270e+08 3.9054340505580080e+08 3.9005208839858705e+08 3.8953032492229420e+08 3.8900193001860994e+08 3.8841066200962955e+08 3.8777790118973440e+08 3.8709200943082637e+08 3.8634389897622174e+08 3.8552252639147490e+08 3.8461545118897742e+08 3.8360355233204836e+08 3.8249521237478751e+08 3.8123957574105984e+08 3.7983182415351492e+08 3.7825153552450889e+08 3.7647673200554430e+08 3.7448474912662536e+08 3.7225285298351049e+08 3.6975469938072449e+08 3.6699978852017206e+08 3.6393131150337768e+08 3.6056347524282676e+08 3.5690406907731521e+08 3.5298179423681146e+08 3.4884548349930072e+08 3.4458808436359882e+08 3.4034680424790323e+08 3.3635379805397558e+08 3.3288600986757851e+08 3.3039291354527026e+08 3.2949483668410993e+08 3.3109703628023106e+08 3.3651319460709691e+08 3.4773426407506371e+08 3.6791120544234931e+08 4.0236402010358286e+08 1.8823730313804746e+08 +5.4608202734244840e+00 3.8812952963135445e+08 3.8809528231598371e+08 3.8803793189757222e+08 3.8796567986598152e+08 3.8789990838383162e+08 3.8787189522298390e+08 3.8789471356352532e+08 3.8794531774747181e+08 3.8800146471286190e+08 3.8806000159860188e+08 3.8812509321707243e+08 3.8819847245533621e+08 3.8828117233679593e+08 3.8837490951783329e+08 3.8848191141155887e+08 3.8860459736696243e+08 3.8874595476355529e+08 3.8890970773188525e+08 3.8910027605193573e+08 3.8932277464904726e+08 3.8958316406984884e+08 3.8988832933573377e+08 3.9024653714921850e+08 3.9067164990028101e+08 3.9118577992024571e+08 3.9180236317640865e+08 3.9252878890411872e+08 3.9337917475386262e+08 3.9437263094632298e+08 3.9553121614262843e+08 3.9687970702336460e+08 3.9844560523144883e+08 4.0025906413539171e+08 4.0235264862819165e+08 4.0476085776403981e+08 4.0751923589931935e+08 4.1066305628898335e+08 4.1422533974048507e+08 4.1823415045841759e+08 4.2270885306273687e+08 4.2804254150531733e+08 4.3390301416991597e+08 4.4023716691451377e+08 4.4694610798447871e+08 4.5387569082393461e+08 4.6081045556497377e+08 4.6747440551710409e+08 4.7354228695638913e+08 4.7866458001806682e+08 4.8250196892665660e+08 4.8476626665438068e+08 4.8528873120584941e+08 4.8405470970746517e+08 4.8115623283026761e+08 4.7681532986233276e+08 4.7135207352130783e+08 4.6511394902529824e+08 4.5844302468644130e+08 4.5163016246093345e+08 4.4492633736162025e+08 4.3849448620095056e+08 4.3246680626942235e+08 4.2689933062970096e+08 4.2185026564900661e+08 4.1731901448870635e+08 4.1329378867115676e+08 4.0976947219433612e+08 4.0670562627142459e+08 4.0405627858902413e+08 4.0179562290709096e+08 3.9986511559677303e+08 3.9824137236838007e+08 3.9688151179579461e+08 3.9575846556222278e+08 3.9482153650005823e+08 3.9401513970553410e+08 3.9331175342380726e+08 3.9267680550975841e+08 3.9206346767207533e+08 3.9162484183765405e+08 3.9118045704643756e+08 3.9072638478140068e+08 3.9025054763897282e+08 3.8975960005608863e+08 3.8923823157571852e+08 3.8871022465233248e+08 3.8811940075979155e+08 3.8748711516663677e+08 3.8680173847119910e+08 3.8605418973084056e+08 3.8523343379148453e+08 3.8432703949356622e+08 3.8331590311804700e+08 3.8220838614463514e+08 3.8095369179415643e+08 3.7954699654945880e+08 3.7796789363532209e+08 3.7619442168389803e+08 3.7420393321904784e+08 3.7197371138395077e+08 3.6947743460864770e+08 3.6672458174389952e+08 3.6365840638190335e+08 3.6029309624750513e+08 3.5663643483953613e+08 3.5271710186491132e+08 3.4858389348132825e+08 3.4432968749048334e+08 3.4009159106186897e+08 3.3610157194508064e+08 3.3263638482489759e+08 3.3014515865914255e+08 3.2924775844220823e+08 3.3084875724866474e+08 3.3626085348261797e+08 3.4747350791707450e+08 3.6763532242270637e+08 4.0206229099244666e+08 1.8781257348751226e+08 +5.4657885961987418e+00 3.8882563244850260e+08 3.8879130507828343e+08 3.8873381878863657e+08 3.8866138945628488e+08 3.8859543496204460e+08 3.8856729340280974e+08 3.8859006679514205e+08 3.8864066221480453e+08 3.8869678722740769e+08 3.8875527598905265e+08 3.8882029563907611e+08 3.8889357635080642e+08 3.8897614564075089e+08 3.8906971465242797e+08 3.8917650510515970e+08 3.8929892918366259e+08 3.8943996577286434e+08 3.8960332902351278e+08 3.8979342710099006e+08 3.9001536103676105e+08 3.9027507498605222e+08 3.9057943424631625e+08 3.9093667790079862e+08 3.9136062091426414e+08 3.9187332462076193e+08 3.9248819714911991e+08 3.9321259374075174e+08 3.9406058008877176e+08 3.9505120184494162e+08 3.9620644133520913e+08 3.9755098559911454e+08 3.9911223116739023e+08 4.0092020829914832e+08 4.0300733797212237e+08 4.0540795149233067e+08 4.0815739834736329e+08 4.1129072666309983e+08 4.1484069906281215e+08 4.1883508680805284e+08 4.2329292689676744e+08 4.2860536757785207e+08 4.3444088788373280e+08 4.4074590388520849e+08 4.4742107728464550e+08 4.5431190750790262e+08 4.6120275324339622e+08 4.6781770478707516e+08 4.7383196085389692e+08 4.7889689194352067e+08 4.8267452575863141e+08 4.8487841160240525e+08 4.8534172702580804e+08 4.8405167728870505e+08 4.8110191323974049e+08 4.7671557352870893e+08 4.7121325046708757e+08 4.6494240539657730e+08 4.5824465634932637e+08 4.5141016771803993e+08 4.4468908690173227e+08 4.3824357310005975e+08 4.3220509351858908e+08 4.2662910555583102e+08 4.2157330402617860e+08 4.1703673022549045e+08 4.1300731231259823e+08 4.0947969274434024e+08 4.0641328811245805e+08 4.0376201026673472e+08 4.0149994159370697e+08 3.9956849004652995e+08 3.9794417534888178e+08 3.9658405965568805e+08 3.9546099607336313e+08 3.9452422851480883e+08 3.9371813482718641e+08 3.9301512199127758e+08 3.9238057722382873e+08 3.9176767322086507e+08 3.9132937167388308e+08 3.9088531996057129e+08 3.9043158998094559e+08 3.8995611226069915e+08 3.8946553573431259e+08 3.8894456434073275e+08 3.8841694757017821e+08 3.8782657017995757e+08 3.8719476236670762e+08 3.8650990350259507e+08 3.8576291949555111e+08 3.8494278351684088e+08 3.8403707378544015e+08 3.8302670396304667e+08 3.8192001448835599e+08 3.8066626749120212e+08 3.7926063427404082e+08 3.7768272345656431e+08 3.7591059024038768e+08 3.7392160423479247e+08 3.7169306572234821e+08 3.6919867585235137e+08 3.6644789214972895e+08 3.6338403083673614e+08 3.6002126043297184e+08 3.5636735856565499e+08 3.5245098330097556e+08 3.4832089398109162e+08 3.4406989833345813e+08 3.3983500271391165e+08 3.3584798684008491e+08 3.3238541479447776e+08 3.2989606885585266e+08 3.2899934889672446e+08 3.3059914043710184e+08 3.3600715269775254e+08 3.4721134676367557e+08 3.6735795286931294e+08 4.0175893619325596e+08 1.8738835666587791e+08 +5.4707569189729996e+00 3.8951807527771980e+08 3.8948367096780699e+08 3.8942605318619132e+08 3.8935344510707980e+08 3.8928730773373818e+08 3.8925903814533705e+08 3.8928176637888640e+08 3.8933235253029573e+08 3.8938845503865331e+08 3.8944689513390821e+08 3.8951184221346092e+08 3.8958502372722560e+08 3.8966746168541098e+08 3.8976086169691747e+08 3.8986743977523178e+08 3.8998960091419584e+08 3.9013031548293185e+08 3.9029328762272578e+08 3.9048291384527528e+08 3.9070428124771279e+08 3.9096331754424405e+08 3.9126686825331384e+08 3.9162314477365071e+08 3.9204591453825772e+08 3.9255718769838250e+08 3.9317034443127763e+08 3.9389270593987238e+08 3.9473828585632396e+08 3.9572606512672365e+08 3.9687794958496493e+08 3.9821853646165740e+08 3.9977511699814278e+08 4.0157759816597784e+08 4.0365825685546428e+08 4.0605125647146916e+08 4.0879175151952112e+08 4.1191456495102352e+08 4.1545220126106393e+08 4.1943213897660059e+08 4.2387308789740276e+08 4.2916424907057625e+08 4.3497478562603301e+08 4.4125063584790128e+08 4.4789201764079022e+08 4.5474407995943439e+08 4.6159100433570594e+08 4.6815697283529407e+08 4.7411764140159202e+08 4.7912527495327389e+08 4.8284324712279564e+08 4.8498684354650545e+08 4.8539115840014941e+08 4.8404524935708141e+08 4.8104437974518090e+08 4.7661278919026858e+08 4.7107158172379619e+08 4.6476818857454705e+08 4.5804377330585098e+08 4.5118780060137159e+08 4.4444958971972209e+08 4.3799052286766642e+08 4.3194133839015085e+08 4.2635691954478520e+08 4.2129445110256410e+08 4.1675261394481462e+08 4.1271905415238535e+08 4.0918817374799383e+08 4.0611924566329610e+08 4.0346606679727203e+08 4.0120260888571024e+08 3.9927023214244044e+08 3.9764536093720978e+08 3.9628500160107607e+08 3.9516192924053198e+08 3.9422532951054472e+08 3.9341954360393524e+08 3.9271690778056824e+08 3.9208276906929564e+08 3.9147030150348318e+08 3.9103232603937787e+08 3.9058860920230007e+08 3.9013522333657563e+08 3.8966010695095134e+08 3.8916990345326257e+08 3.8864933122654319e+08 3.8812210677064109e+08 3.8753217825572300e+08 3.8690085076274979e+08 3.8621651248394620e+08 3.8547009621439612e+08 3.8465058349478495e+08 3.8374556197278506e+08 3.8273596275429833e+08 3.8163010527082622e+08 3.8037731067119879e+08 3.7897274513707423e+08 3.7739603276579529e+08 3.7562524541575181e+08 3.7363776987393725e+08 3.7141092365314579e+08 3.6891843071421134e+08 3.6616972728340203e+08 3.6310819235158253e+08 3.5974797521339190e+08 3.5609684759364986e+08 3.5218344580300730e+08 3.4805649217117262e+08 3.4380872397795242e+08 3.3957704620166737e+08 3.3559304965502459e+08 3.3213310662101775e+08 3.2964565092818904e+08 3.2874961482297820e+08 3.3034819265341711e+08 3.3575209917090762e+08 3.4694778776460445e+08 3.6707910434691739e+08 4.0145396397844326e+08 1.8696465427445042e+08 +5.4757252417472575e+00 3.9020686151135826e+08 3.9017238008736533e+08 3.9011462898669308e+08 3.9004184630576700e+08 3.8997552676313680e+08 3.8994712943128836e+08 3.8996981229290384e+08 3.9002038869146234e+08 3.9007646814068359e+08 3.9013485903113955e+08 3.9019973294107634e+08 3.9027281458863932e+08 3.9035512047975576e+08 3.9044835066459149e+08 3.9055471544088274e+08 3.9067661258515257e+08 3.9081700392924184e+08 3.9097958357433909e+08 3.9116873634173810e+08 3.9138953535323024e+08 3.9164789183291352e+08 3.9195063146487784e+08 3.9230593789938188e+08 3.9272753093224257e+08 3.9323736934652418e+08 3.9384880525878060e+08 3.9456912578457975e+08 3.9541229239824343e+08 3.9639722120057988e+08 3.9754574138028371e+08 3.9888236019219095e+08 4.0043426341465878e+08 4.0223123455513531e+08 4.0430540624661183e+08 4.0669077384420347e+08 4.0942229676268619e+08 4.1253457273578030e+08 4.1605984819256449e+08 4.2002530913899261e+08 4.2444933860295254e+08 4.2971918897303957e+08 4.3550471090272921e+08 4.4175136689518386e+08 4.4835893380344772e+08 4.5517221365349668e+08 4.6197521509860635e+08 4.6849221673887902e+08 4.7439933650744021e+08 4.7934973776193392e+08 4.8300814247446871e+08 4.8509157257423401e+08 4.8543703590919358e+08 4.8403543682389313e+08 4.8098364342477733e+08 4.7650698794206274e+08 4.7092707828322291e+08 4.6459130935918403e+08 4.5784038610966349e+08 4.5096307139226490e+08 4.4420785582082069e+08 4.3773534524258870e+08 4.3167555037521470e+08 4.2608278186357760e+08 4.2101371594623029e+08 4.1646667453929609e+08 4.1242902293100721e+08 4.0889492381598699e+08 4.0582350742419463e+08 4.0316845658861119e+08 4.0090363311389315e+08 3.9897035015209281e+08 3.9734493735030234e+08 3.9598434580873191e+08 3.9486127320880359e+08 3.9392484760689777e+08 3.9311937413721621e+08 3.9241711887685925e+08 3.9178338911724287e+08 3.9117136057848346e+08 3.9073371298407471e+08 3.9029033281214094e+08 3.8983729287878644e+08 3.8936253973040771e+08 3.8887271122346759e+08 3.8835254023344064e+08 3.8782571024265802e+08 3.8723623296431118e+08 3.8660538831890285e+08 3.8592157336524373e+08 3.8517572782128412e+08 3.8435684164294475e+08 3.8345251195456380e+08 3.8244368737029487e+08 3.8133866634742677e+08 3.8008682916347212e+08 3.7868333693926972e+08 3.7710782933086115e+08 3.7533839494207501e+08 3.7335243782728660e+08 3.7112729282080054e+08 3.6863670678794980e+08 3.6589009468268275e+08 3.6283089840029597e+08 3.5947324799357140e+08 3.5582490925345224e+08 3.5191449662022310e+08 3.4779069521575785e+08 3.4354617150098270e+08 3.3931772851540291e+08 3.3533676729751807e+08 3.3187946714120740e+08 3.2939391166173804e+08 3.2849856298725426e+08 3.3009592069709492e+08 3.3549569981425565e+08 3.4668283806156677e+08 3.6679878441134238e+08 4.0114738261196923e+08 1.8654146790040278e+08 +5.4806935645215153e+00 3.9089199655680072e+08 3.9085743477936578e+08 3.9079954974098986e+08 3.9072659325352651e+08 3.9066009203277642e+08 3.9063156730460566e+08 3.9065420457650775e+08 3.9070477075654179e+08 3.9076082659097803e+08 3.9081916774106157e+08 3.9088396788533515e+08 3.9095694900179732e+08 3.9103912209393132e+08 3.9113218163212365e+08 3.9123833218451315e+08 3.9135996428569466e+08 3.9150003120924807e+08 3.9166221698653370e+08 3.9185089471033514e+08 3.9207112348728418e+08 3.9232879800245178e+08 3.9263072405082250e+08 3.9298505747234553e+08 3.9340547031808770e+08 3.9391386982245511e+08 3.9452357992915899e+08 3.9524185362188601e+08 3.9608260011814511e+08 3.9706467053774309e+08 3.9820981727185184e+08 3.9954245743444717e+08 4.0108967116971761e+08 4.0288111834695446e+08 4.0494878717593008e+08 4.0732650481542772e+08 4.1004903548489034e+08 4.1315075166158897e+08 4.1666364177499026e+08 4.2061459952905875e+08 4.2502168161228490e+08 4.3027019033324528e+08 4.3603066727752775e+08 4.4224810117529947e+08 4.4882183057594836e+08 4.5559631411621177e+08 4.6235539183675778e+08 4.6882344361869210e+08 4.7467705411960250e+08 4.7957028911949658e+08 4.8316922129892123e+08 4.8519260879875952e+08 4.8547937015148830e+08 4.8402225061175221e+08 4.8091971536332011e+08 4.7639818088310343e+08 4.7077975113673973e+08 4.6441177854786247e+08 4.5763450531036383e+08 4.5073599036642641e+08 4.4396389520301235e+08 4.3747804995569789e+08 4.3140773895698893e+08 4.2580670177056879e+08 4.2073110761521423e+08 4.1617892089242464e+08 4.1213722738032240e+08 4.0859995154953444e+08 4.0552608188599414e+08 4.0286918803929514e+08 4.0060302259991896e+08 3.9866885233386683e+08 3.9704291279523343e+08 3.9568210044545645e+08 3.9455903611410397e+08 3.9362279091508061e+08 3.9281763451803458e+08 3.9211576335538882e+08 3.9148244542928034e+08 3.9087085849423361e+08 3.9043354054758620e+08 3.8999049882046974e+08 3.8953780662870717e+08 3.8906341861063123e+08 3.8857396704623896e+08 3.8805419935196513e+08 3.8752776596594369e+08 3.8693874227395034e+08 3.8630838299010354e+08 3.8562509408677721e+08 3.8487982224211854e+08 3.8406156586919552e+08 3.8315793162072146e+08 3.8214988568003380e+08 3.8104570556431991e+08 3.7979483078906381e+08 3.7839241747254777e+08 3.7681812091149592e+08 3.7505004654224920e+08 3.7306561577694553e+08 3.7084218086217725e+08 3.6835351165891850e+08 3.6560900187576765e+08 3.6255215644855857e+08 3.5919708617019016e+08 3.5555155086650509e+08 3.5164414299381351e+08 3.4752351027144194e+08 3.4328224797129738e+08 3.3905705663696522e+08 3.3507914666780829e+08 3.3162450318333483e+08 3.2914085783405340e+08 3.2824620014903033e+08 3.2984233136054415e+08 3.3523796153014004e+08 3.4641650478785646e+08 3.6651700061016566e+08 4.0083920034816861e+08 1.8611879911682490e+08 +5.4856618872957732e+00 3.9157346979332340e+08 3.9153882987580454e+08 3.9148081850631845e+08 3.9140768612539178e+08 3.9134100354586661e+08 3.9131235187200683e+08 3.9133494333356476e+08 3.9138549884630764e+08 3.9144153050989521e+08 3.9149982138614923e+08 3.9156454717285442e+08 3.9163742709595186e+08 3.9171946666185158e+08 3.9181235473757917e+08 3.9191829015078926e+08 3.9203965616793734e+08 3.9217939748340726e+08 3.9234118802927661e+08 3.9252938913334215e+08 3.9274904584632099e+08 3.9300603626588404e+08 3.9330714624491239e+08 3.9366050374856180e+08 3.9407973298075503e+08 3.9458668944452101e+08 3.9519466880250609e+08 3.9591088986053723e+08 3.9674920948184305e+08 3.9772841367204708e+08 3.9887017787199825e+08 4.0019882889455873e+08 4.0174134107822770e+08 4.0352725048414272e+08 4.0558840073517150e+08 4.0795845065109855e+08 4.1067196915498739e+08 4.1376310343332100e+08 4.1726358398731273e+08 4.2120001244146079e+08 4.2559011958291233e+08 4.3081725625687432e+08 4.3655265837023669e+08 4.4274084289224631e+08 4.4928071281635976e+08 4.5601638692412221e+08 4.6273154090216416e+08 4.6915066063988805e+08 4.7495080222569788e+08 4.7978693781058347e+08 4.8332649311043543e+08 4.8528996235582918e+08 4.8551817174333990e+08 4.8400570165741944e+08 4.8085260665446949e+08 4.7628637911534858e+08 4.7062961127612215e+08 4.6422960693517131e+08 4.5742614145197761e+08 4.5050656779381990e+08 4.4371771785745043e+08 4.3721864673071575e+08 4.3113791360989225e+08 4.2552868851535076e+08 4.2044663515959173e+08 4.1588936187850738e+08 4.1184367622231317e+08 4.0830326554075819e+08 4.0522697753068423e+08 4.0256826953765100e+08 4.0030078565523952e+08 3.9836574693647462e+08 3.9673929546987349e+08 3.9537827366848296e+08 3.9425522608137339e+08 3.9331916753648788e+08 3.9251433282895690e+08 3.9181284928220791e+08 3.9117994605743676e+08 3.9056880329072195e+08 3.9013181675989747e+08 3.8968911524822229e+08 3.8923677259880430e+08 3.8876275159350747e+08 3.8827367891362560e+08 3.8775431656360936e+08 3.8722828191143984e+08 3.8663971414231181e+08 3.8600984272136188e+08 3.8532708258033347e+08 3.8458238739277393e+08 3.8376476407375169e+08 3.8286182885188049e+08 3.8185456554327041e+08 3.8075123075901860e+08 3.7950132335918295e+08 3.7809999451933169e+08 3.7652691525748366e+08 3.7476020792985123e+08 3.7277731139608496e+08 3.7055559540448934e+08 3.6806885290307063e+08 3.6532645638216507e+08 3.6227197395293987e+08 3.5891949713093138e+08 3.5527677974579245e+08 3.5137239215599322e+08 3.4725494448555851e+08 3.4301696044927293e+08 3.3879503753954768e+08 3.3482019465738267e+08 3.3136822156847972e+08 3.2888649621481413e+08 3.2799253305959791e+08 3.2958743142774224e+08 3.3497889121400839e+08 3.4614879506834555e+08 3.6623376048152196e+08 4.0052942543067235e+08 1.8569664948277545e+08 +5.4906302100700310e+00 3.9225129272575331e+08 3.9221657297844177e+08 3.9215843078364444e+08 3.9208512374305832e+08 3.9201826147597277e+08 3.9198948330167097e+08 3.9201202873468906e+08 3.9206257314119720e+08 3.9211858008069378e+08 3.9217682015139973e+08 3.9224147099114287e+08 3.9231424906198168e+08 3.9239615437869543e+08 3.9248887018270242e+08 3.9259458954620147e+08 3.9271568844561422e+08 3.9285510297397983e+08 3.9301649693577135e+08 3.9320421985564423e+08 3.9342330268892878e+08 3.9367960689919752e+08 3.9397989834194070e+08 3.9433227704686022e+08 3.9475031926716399e+08 3.9525582859445286e+08 3.9586207230098546e+08 3.9657623497105891e+08 3.9741212101822084e+08 3.9838845119876426e+08 3.9952682385601902e+08 4.0085147533980566e+08 4.0238927401640427e+08 4.0416963197074175e+08 4.0622424807707453e+08 4.0858661267855048e+08 4.1129109930268317e+08 4.1437162981660175e+08 4.1785967686772072e+08 4.2178155022941500e+08 4.2615465523022586e+08 4.3136038990788132e+08 4.3707068785822451e+08 4.4322959630466783e+08 4.4973558543435413e+08 4.5643243770512015e+08 4.6310366869507641e+08 4.6947387501130217e+08 4.7522058885288560e+08 4.7999969265431988e+08 4.8347996745209032e+08 4.8538364340461737e+08 4.8555345131878310e+08 4.8398580090888768e+08 4.8078232839773393e+08 4.7617159374464399e+08 4.7047666969251978e+08 4.6404480531264001e+08 4.5721530507459861e+08 4.5027481393690294e+08 4.4346933376778674e+08 4.3695714528195888e+08 4.3086608380093360e+08 4.2524875133887577e+08 4.2016030762029004e+08 4.1559800636238772e+08 4.1154837817033833e+08 4.0800487437217104e+08 4.0492620282983500e+08 4.0226570946289223e+08 3.9999693058188772e+08 3.9806104219875282e+08 3.9643409356278145e+08 3.9507287362586045e+08 3.9394985122797090e+08 3.9301398556296527e+08 3.9220947714132065e+08 3.9150838471349877e+08 3.9087589904470384e+08 3.9026520299726975e+08 3.8982854964217865e+08 3.8938619010744101e+08 3.8893419879066563e+08 3.8846054667196387e+08 3.8797185480823570e+08 3.8745289983998728e+08 3.8692726603988254e+08 3.8633915651837081e+08 3.8570977544889098e+08 3.8502754676794904e+08 3.8428343118012190e+08 3.8346644414550298e+08 3.8256421151930326e+08 3.8155773481092972e+08 3.8045524975890642e+08 3.7920631467570001e+08 3.7780607585304081e+08 3.7623422011019588e+08 3.7446888680999357e+08 3.7248753234841716e+08 3.7026754406559217e+08 3.6778273808754593e+08 3.6504246571270895e+08 3.6199035836176503e+08 3.5864048825462508e+08 3.5500060319497859e+08 3.5109925133056283e+08 3.4698500499715227e+08 3.4275031598700070e+08 3.3853167818873501e+08 3.3455991814961994e+08 3.3111062910891289e+08 3.2863083356540692e+08 3.2773756846213305e+08 3.2933122767496014e+08 3.3471849575258976e+08 3.4587971601958489e+08 3.6594907155486447e+08 4.0021806609439868e+08 1.8527502054333326e+08 +5.4955985328442889e+00 3.9292545840844864e+08 3.9289066031855243e+08 3.9283238699482256e+08 3.9275890691865897e+08 3.9269186612749046e+08 3.9266296182443261e+08 3.9268546101925457e+08 3.9273599388314301e+08 3.9279197554937810e+08 3.9285016428407592e+08 3.9291473959114093e+08 3.9298741515400904e+08 3.9306918550248867e+08 3.9316172822958112e+08 3.9326723064008605e+08 3.9338806139506447e+08 3.9352714796515995e+08 3.9368814400001150e+08 3.9387538718282443e+08 3.9409389433577943e+08 3.9434951023917574e+08 3.9464898069944900e+08 3.9500037774773681e+08 3.9541722958559567e+08 3.9592128771477222e+08 3.9652579090856105e+08 3.9723788948658890e+08 3.9807133531628966e+08 3.9904478377497172e+08 4.0017975595955485e+08 4.0150039759892541e+08 4.0303347092257357e+08 4.0480826387117022e+08 4.0685633041581196e+08 4.0921099228539205e+08 4.1190642751826185e+08 4.1497633263678533e+08 4.1845192251424444e+08 4.2235921530601060e+08 4.2671529132959902e+08 4.3189959450790381e+08 4.3758475947382349e+08 4.4371436572601932e+08 4.5018645339286941e+08 4.5684447213607419e+08 4.6347178166207904e+08 4.6979309398524654e+08 4.7548642206788343e+08 4.8020856250339532e+08 4.8362965389572102e+08 4.8547366212700927e+08 4.8558521952797920e+08 4.8396255932563686e+08 4.8070889170082152e+08 4.7605383587846321e+08 4.7032093737682623e+08 4.6385738446890736e+08 4.5700200671237439e+08 4.5004073905283529e+08 4.4321875291019624e+08 4.3669355531747872e+08 4.3059225898712951e+08 4.2496689947281045e+08 4.1987213402776581e+08 4.1530486320010483e+08 4.1125134192700297e+08 4.0770478661695826e+08 4.0462376624599361e+08 4.0196151618433601e+08 3.9969146567259145e+08 3.9775474635034871e+08 3.9612731525167018e+08 3.9476590845552492e+08 3.9364291965995878e+08 3.9270725307670760e+08 3.9190307551843762e+08 3.9120237769603485e+08 3.9057031242402524e+08 3.8996006563391244e+08 3.8952374720466709e+08 3.8908173139953834e+08 3.8863009319733590e+08 3.8815681182884896e+08 3.8766850270309198e+08 3.8714995714370811e+08 3.8662472630224133e+08 3.8603707734182453e+08 3.8540818909913522e+08 3.8472649456144321e+08 3.8398296150088203e+08 3.8316661396557546e+08 3.8226508748482078e+08 3.8125940132400364e+08 3.8015777038268149e+08 3.7890981253177786e+08 3.7751066923750114e+08 3.7594004320104653e+08 3.7417609087794012e+08 3.7219628628882354e+08 3.6997803445500720e+08 3.6749517477057868e+08 3.6475703736919099e+08 3.6170731711347276e+08 3.5836006691160578e+08 3.5472302850985664e+08 3.5082472773297113e+08 3.4671369893740404e+08 3.4248232162848109e+08 3.3826698554159105e+08 3.3429832401994836e+08 3.3085173260923725e+08 3.2837387663925928e+08 3.2748131309185994e+08 3.2907372686962861e+08 3.3445678202433079e+08 3.4560927474929577e+08 3.6566294135069770e+08 3.9990513056322938e+08 1.8485391382964772e+08 +5.5005668556185467e+00 3.9359596493528581e+08 3.9356108853026938e+08 3.9350268823659110e+08 3.9342903651253349e+08 3.9336181782830775e+08 3.9333278773359472e+08 3.9335524049229139e+08 3.9340576137263876e+08 3.9346171722407079e+08 3.9351985409217554e+08 3.9358435328345579e+08 3.9365692568662012e+08 3.9373856035177255e+08 3.9383092920274663e+08 3.9393621376227766e+08 3.9405677535329914e+08 3.9419553280359983e+08 3.9435612957861263e+08 3.9454289148364216e+08 3.9476082116850609e+08 3.9501574668462825e+08 3.9531439373512840e+08 3.9566480629338515e+08 3.9608046440641099e+08 3.9658306730932611e+08 3.9718582517047632e+08 3.9789585400032312e+08 3.9872685302752453e+08 3.9969741211879373e+08 4.0082897497997415e+08 4.0214559656232899e+08 4.0367393279473120e+08 4.0544314731249523e+08 4.0748464902614409e+08 4.0983159091990310e+08 4.1251795545219767e+08 4.1557721377902746e+08 4.1904032308397073e+08 4.2293301014270532e+08 4.2727203071277320e+08 4.3243487333443522e+08 4.3809487700628728e+08 4.4419515552387100e+08 4.5063332170718110e+08 4.5725249594450879e+08 4.6383588629615796e+08 4.7010832485639447e+08 4.7574830997440881e+08 4.8041355624440187e+08 4.8377556204108918e+08 4.8556002872817874e+08 4.8561348703975141e+08 4.8393598787937981e+08 4.8063230767759651e+08 4.7593311662813812e+08 4.7016242531888109e+08 4.6366735518923032e+08 4.5678625689483881e+08 4.4980435339162719e+08 4.4296598525362647e+08 4.3642788653541744e+08 4.3031644861740083e+08 4.2468314214014405e+08 4.1958212340452099e+08 4.1500994123756969e+08 4.1095257618644702e+08 4.0740301083786458e+08 4.0431967623193359e+08 4.0165569806211483e+08 3.9938439921058947e+08 3.9744686761074394e+08 3.9581896870639056e+08 3.9445738628587508e+08 3.9333443947443795e+08 3.9239897814966851e+08 3.9159513601281625e+08 3.9089483626675367e+08 3.9026319421815878e+08 3.8965339921125269e+08 3.8921741744933373e+08 3.8877574711685473e+08 3.8832446380180579e+08 3.8785155503707129e+08 3.8736363056110638e+08 3.8684549642713702e+08 3.8632067064085603e+08 3.8573348454196298e+08 3.8510509158849090e+08 3.8442393386403066e+08 3.8368098624251193e+08 3.8286528140397573e+08 3.8196446460039985e+08 3.8095957291402775e+08 3.7985880043901068e+08 3.7861182471035326e+08 3.7721378242747480e+08 3.7564439225266570e+08 3.7388182781934071e+08 3.7190358086273116e+08 3.6968707417241794e+08 3.6720617050092965e+08 3.6447017884383398e+08 3.6142285763806510e+08 3.5807824046281689e+08 3.5444406297681409e+08 3.5054882856916291e+08 3.4644103342782426e+08 3.4221298440795004e+08 3.3800096654627413e+08 3.3403541913528651e+08 3.3059153886539960e+08 3.2811563218179536e+08 3.2722377367567688e+08 3.2881493577143085e+08 3.3419375689943600e+08 3.4533747835701418e+08 3.6537537737984937e+08 3.9959062705183357e+08 1.8443333085899103e+08 +5.5055351783928046e+00 3.9426281832274473e+08 3.9422786929432303e+08 3.9416933679108620e+08 3.9409551332110244e+08 3.9402811693960482e+08 3.9399896138597071e+08 3.9402136752560037e+08 3.9407187597072208e+08 3.9412780547397161e+08 3.9418588994566250e+08 3.9425031244183677e+08 3.9432278103694528e+08 3.9440427930763334e+08 3.9449647348869473e+08 3.9460153930463648e+08 3.9472183071934384e+08 3.9486025789598900e+08 3.9502045408877105e+08 3.9520673318720335e+08 3.9542408363118380e+08 3.9567831669567889e+08 3.9597613792960656e+08 3.9632556318710160e+08 3.9674002426088583e+08 3.9724116794428271e+08 3.9784217569322842e+08 3.9855012916757298e+08 3.9937867486410540e+08 4.0034633700996798e+08 4.0147448177559072e+08 4.0278707318071246e+08 4.0431066069270337e+08 4.0607428348038518e+08 4.0810920524307072e+08 4.1044841009041798e+08 4.1312568481494576e+08 4.1617427518807280e+08 4.1962488079374480e+08 4.2350293726914865e+08 4.2782487627031082e+08 4.3296622972293544e+08 4.3860104429985720e+08 4.4467197011931205e+08 4.5107619544386631e+08 4.5765651490694892e+08 4.6419598913715816e+08 4.7041957496256977e+08 4.7600626071596438e+08 4.8061468279734391e+08 4.8391770151648980e+08 4.8564275343380928e+08 4.8563826453791028e+08 4.8390609755263174e+08 4.8055258744803578e+08 4.7580944710663456e+08 4.7000114450801677e+08 4.6347472825536948e+08 4.5656806614600986e+08 4.4956566719630128e+08 4.4271104075826943e+08 4.3616014862592089e+08 4.3003866213148803e+08 4.2439748855361360e+08 4.1929028476292098e+08 4.1471324931072098e+08 4.1065208963214612e+08 4.0709955558881348e+08 4.0401394123031121e+08 4.0134826344522202e+08 3.9907573946783906e+08 3.9713741418926275e+08 3.9550906208437032e+08 3.9414731523498350e+08 3.9302441875774932e+08 3.9208916884466487e+08 3.9128566666725868e+08 3.9058576845259428e+08 3.8995455244031638e+08 3.8934521172942710e+08 3.8890956836743110e+08 3.8846824524190456e+08 3.8801731857680404e+08 3.8754478426016110e+08 3.8705724633549839e+08 3.8653952563287556e+08 3.8601510698710084e+08 3.8542838603877902e+08 3.8480049082447195e+08 3.8411987256853914e+08 3.8337751328294754e+08 3.8256245432201380e+08 3.8166235070888495e+08 3.8065825740282750e+08 3.7955834772733605e+08 3.7831235898522478e+08 3.7691542316758943e+08 3.7534727497739494e+08 3.7358610531125736e+08 3.7160942370581710e+08 3.6939467080817258e+08 3.6691573281820178e+08 3.6418189762041014e+08 3.6113698735682535e+08 3.5779501626069021e+08 3.5416371387293661e+08 3.5027156103721499e+08 3.4616701558147031e+08 3.4194231135252523e+08 3.3773362814279020e+08 3.3377121035388935e+08 3.3033005466514581e+08 3.2785610692961830e+08 3.2696495693162054e+08 3.2855486113171095e+08 3.3392942723984528e+08 3.4506433393299907e+08 3.6508638714471221e+08 3.9927456376479244e+08 1.8401327313480806e+08 +5.5105035011670624e+00 3.9492601658483595e+08 3.9489098873649108e+08 3.9483233120862186e+08 3.9475833791832715e+08 3.9469076390773827e+08 3.9466148320390743e+08 3.9468384255478156e+08 3.9473433809873348e+08 3.9479024073054427e+08 3.9484827227597219e+08 3.9491261750007647e+08 3.9498498164197463e+08 3.9506634281157511e+08 3.9515836153409088e+08 3.9526320771995789e+08 3.9538322795336217e+08 3.9552132371123064e+08 3.9568111800921088e+08 3.9586691278374648e+08 3.9608368222792995e+08 3.9633722079400671e+08 3.9663421382361233e+08 3.9698264899269283e+08 3.9739590974178517e+08 3.9789559024625337e+08 3.9849484314452207e+08 3.9920071570468372e+08 4.0002680159845585e+08 4.0099155928814620e+08 4.0211627726547009e+08 4.0342482846552700e+08 4.0494365573628503e+08 4.0670167362213707e+08 4.0873000046201336e+08 4.1106145136523598e+08 4.1372961737609607e+08 4.1676751886815935e+08 4.2020559791852015e+08 4.2406899927356684e+08 4.2837383095021838e+08 4.3349366706506801e+08 4.3910326525369358e+08 4.4514481398771143e+08 4.5151507972192532e+08 4.5805653484900957e+08 4.6455209677072775e+08 4.7072685168350482e+08 4.7626028247295362e+08 4.8081195111450547e+08 4.8405608197674668e+08 4.8572184649352473e+08 4.8565956272300190e+08 4.8387289933888245e+08 4.8046974213879204e+08 4.7568283842892265e+08 4.6983710593182611e+08 4.6327951444497108e+08 4.5634744498359454e+08 4.4932469070306671e+08 4.4245392937733608e+08 4.3589035127043563e+08 4.2975890895983922e+08 4.2410994791719341e+08 4.1899662710554349e+08 4.1441479624665523e+08 4.1034989093884510e+08 4.0679442941250139e+08 4.0370656967343217e+08 4.0103922067403555e+08 3.9876549470675135e+08 3.9682639428581470e+08 3.9519760353460687e+08 3.9383570341116500e+08 3.9271286558718556e+08 3.9177783321305001e+08 3.9097467551486820e+08 3.9027518227017081e+08 3.8964439509416115e+08 3.8903551117936683e+08 3.8860020794064504e+08 3.8815923374705780e+08 3.8770866548586076e+08 3.8723650745164788e+08 3.8674935797019297e+08 3.8623205269401538e+08 3.8570804326323873e+08 3.8512178974209392e+08 3.8449439470350027e+08 3.8381431855791891e+08 3.8307255048998004e+08 3.8225814057077926e+08 3.8135875364262766e+08 3.8035546260267347e+08 3.7925642003701586e+08 3.7801142312012690e+08 3.7661559919326407e+08 3.7504869907848793e+08 3.7328893102010828e+08 3.7131382244441175e+08 3.6910083194300258e+08 3.6662386925194281e+08 3.6389220117224866e+08 3.6084971368041503e+08 3.5751040164751524e+08 3.5388198846690929e+08 3.4999293232492054e+08 3.4589165250299591e+08 3.4167030947899389e+08 3.3746497726215363e+08 3.3350570452543443e+08 3.3006728678772062e+08 3.2759530761128068e+08 3.2670486957030779e+08 3.2829350969311327e+08 3.3366379989802748e+08 3.4478984855876583e+08 3.6479597813753104e+08 3.9895694889605093e+08 1.8359374214676839e+08 +5.5154718239413203e+00 3.9558556584349549e+08 3.9555046079286051e+08 3.9549167347301006e+08 3.9541751006712264e+08 3.9534975926986641e+08 3.9532035367603278e+08 3.9534266607631111e+08 3.9539314823785144e+08 3.9544902348522323e+08 3.9550700157450104e+08 3.9557126895268202e+08 3.9564352800079113e+08 3.9572475136639673e+08 3.9581659384676450e+08 3.9592121952208340e+08 3.9604096757642275e+08 3.9617873077863884e+08 3.9633812187913465e+08 3.9652343082496136e+08 3.9673961752446246e+08 3.9699245956088394e+08 3.9728862201914871e+08 3.9763606433591819e+08 3.9804812150205535e+08 3.9854633490236861e+08 3.9914382825307983e+08 3.9984761438741750e+08 4.0067123406501949e+08 4.0163307985436636e+08 4.0275436242879045e+08 4.0405886348858780e+08 4.0557291910586989e+08 4.0732531904434919e+08 4.0934703613779533e+08 4.1167071637257361e+08 4.1432975496443820e+08 4.1735694688196766e+08 4.2078247679175204e+08 4.2463119880216521e+08 4.2891889775742865e+08 4.3401718880813223e+08 4.3960154382251471e+08 4.4561369165754580e+08 4.5194997971062624e+08 4.5845256164482456e+08 4.6490421582805574e+08 4.7103016244105554e+08 4.7651038346384972e+08 4.8100537018106461e+08 4.8419071310437119e+08 4.8579731817685288e+08 4.8567739231147641e+08 4.8383640424219167e+08 4.8038378288199264e+08 4.7555330171197832e+08 4.6967032057687712e+08 4.6308172453221977e+08 4.5612440392004794e+08 4.4908143414092559e+08 4.4219466105492723e+08 4.3561850414131862e+08 4.2947719852399355e+08 4.2382052942576694e+08 4.1870115942556888e+08 4.1411459086213166e+08 4.1004598876988369e+08 4.0648764084278709e+08 4.0339756998451853e+08 4.0072857807764602e+08 3.9845367318079072e+08 3.9651381608906394e+08 3.9488460119554436e+08 3.9352255891248268e+08 3.9239978802892274e+08 3.9146497929779512e+08 3.9066217057767528e+08 3.8996308572644788e+08 3.8933273017261600e+08 3.8872430554099679e+08 3.8828934413966310e+08 3.8784872059438020e+08 3.8739851248153549e+08 3.8692673255467772e+08 3.8643997339812624e+08 3.8592308553352505e+08 3.8539948738123614e+08 3.8481370355210954e+08 3.8418681111266196e+08 3.8350727970524627e+08 3.8276610572150201e+08 3.8195234799161381e+08 3.8105368122463024e+08 3.8005119631570244e+08 3.7895302514769953e+08 3.7770902486942029e+08 3.7631431822997391e+08 3.7474867224928236e+08 3.7299031260358578e+08 3.7101678469562250e+08 3.6880556514888340e+08 3.6633058732358193e+08 3.6360109696408820e+08 3.6056104401123112e+08 3.5722440395711327e+08 3.5359889401759148e+08 3.4971294961185795e+08 3.4561495128701615e+08 3.4139698579650885e+08 3.3719502082730198e+08 3.3323890849136490e+08 3.2980324200345278e+08 3.2733324094645786e+08 3.2644351829333180e+08 3.2803088819026381e+08 3.3339688171904659e+08 3.4451402930723369e+08 3.6450415784133780e+08 3.9863779062935007e+08 1.8317473937081683e+08 +5.5204401467155781e+00 3.9624145347865623e+08 3.9620627562725854e+08 3.9614736272835279e+08 3.9607303002419400e+08 3.9600510365365946e+08 3.9597557336061972e+08 3.9599783864562172e+08 3.9604830693138939e+08 3.9610415429069632e+08 3.9616207839410037e+08 3.9622626735489982e+08 3.9629842067216879e+08 3.9637950553503746e+08 3.9647117099529850e+08 3.9657557528540105e+08 3.9669505017001075e+08 3.9683247968809110e+08 3.9699146629893512e+08 3.9717628792261058e+08 3.9739189014650255e+08 3.9764403363993144e+08 3.9793936317795986e+08 3.9828580990223044e+08 3.9869666025551212e+08 3.9919340266043651e+08 3.9978913180654848e+08 4.0049082605357742e+08 4.0131197315742147e+08 4.0227089966925877e+08 4.0338873830520058e+08 4.0468917938169163e+08 4.0619845204109693e+08 4.0794522111367267e+08 4.0996031378485709e+08 4.1227620679940277e+08 4.1492609946900713e+08 4.1794256135116118e+08 4.2135551980542755e+08 4.2518953855828935e+08 4.2946007975333899e+08 4.3453679845554018e+08 4.4009588401496726e+08 4.4607860770980603e+08 4.5238090063094592e+08 4.5884460121705651e+08 4.6525235298544490e+08 4.7132951469803017e+08 4.7675657194369239e+08 4.8119494901509291e+08 4.8432160460833043e+08 4.8586917877513456e+08 4.8569176403612882e+08 4.8379662327701133e+08 4.8029472081578523e+08 4.7542084807448953e+08 4.6950079942767805e+08 4.6288136928664178e+08 4.5589895346186596e+08 4.4883590773160529e+08 4.4193324572724861e+08 4.3534461690275490e+08 4.2919354023558789e+08 4.2352924226366138e+08 4.1840389070596808e+08 4.1381264196357822e+08 4.0974039177962697e+08 4.0617919840282911e+08 4.0308695057504654e+08 4.0041634397586823e+08 3.9814028313115442e+08 3.9619968777826917e+08 3.9457006319541597e+08 3.9320788982632828e+08 3.9208519413923311e+08 3.9115061513046128e+08 3.9034815986913151e+08 3.8964948681827933e+08 3.8901956565846682e+08 3.8841160278448731e+08 3.8797698492620975e+08 3.8753671373648751e+08 3.8708686750698698e+08 3.8661546750257462e+08 3.8612910054245377e+08 3.8561263206345969e+08 3.8508944724299103e+08 3.8450413535817277e+08 3.8387774792957276e+08 3.8319876387415397e+08 3.8245818682538462e+08 3.8164508441545594e+08 3.8074714126727003e+08 3.7974546633414054e+08 3.7864817082900304e+08 3.7740517197683585e+08 3.7601158799337232e+08 3.7444720217294741e+08 3.7269025770892411e+08 3.7071831806585383e+08 3.6850887798674095e+08 3.6603589454326797e+08 3.6330859245066696e+08 3.6027098574199843e+08 3.5693703051377237e+08 3.5331443777522826e+08 3.4943162006846434e+08 3.4533691902020186e+08 3.4112234730476218e+08 3.3692376575123847e+08 3.3297082908384031e+08 3.2953792707451355e+08 3.2706991364708883e+08 3.2618090979370022e+08 3.2776700334834677e+08 3.3312867953824896e+08 3.4423688324189347e+08 3.6421093372989714e+08 3.9831709713788879e+08 1.8275626626922452e+08 +5.5254084694898360e+00 3.9689369364154577e+08 3.9685843720945317e+08 3.9679939763081026e+08 3.9672489857708716e+08 3.9665679773329216e+08 3.9662714288234937e+08 3.9664936087661636e+08 3.9669981478239369e+08 3.9675563375883585e+08 3.9681350334745157e+08 3.9687761332238227e+08 3.9694966027616042e+08 3.9703060594096959e+08 3.9712209360846174e+08 3.9722627564414090e+08 3.9734547637572956e+08 3.9748257108968633e+08 3.9764115192878711e+08 3.9782548474892408e+08 3.9804050078042716e+08 3.9829194373318702e+08 3.9858643802325779e+08 3.9893188643769479e+08 3.9934152677552879e+08 3.9983679432823080e+08 4.0043075465408975e+08 4.0113035160003984e+08 4.0194901982938004e+08 4.0290501975379539e+08 4.0401940599420375e+08 4.0531577733639437e+08 4.0682025584163237e+08 4.0856138125654262e+08 4.1056983497698557e+08 4.1287792439168084e+08 4.1551865283606941e+08 4.1852436445533669e+08 4.2192472940897244e+08 4.2574402130265582e+08 4.2999738005621320e+08 4.3505249956622338e+08 4.4058628989421380e+08 4.4653956677845752e+08 4.5280784775358117e+08 4.5923265953634179e+08 4.6559651496415371e+08 4.7162491595881486e+08 4.7699885620425785e+08 4.8138069666450930e+08 4.8444876622430068e+08 4.8593743860045666e+08 4.8570268864323419e+08 4.8375356746779025e+08 4.8020256708312637e+08 4.7528548863645530e+08 4.6932855346751833e+08 4.6267845947402924e+08 4.5567110410866368e+08 4.4858812168848163e+08 4.4166969332265973e+08 4.3506869920894325e+08 4.2890794349740922e+08 4.2323609560559219e+08 4.1810482991987407e+08 4.1350895834756213e+08 4.0943310861143309e+08 4.0586911060521686e+08 4.0277471984787846e+08 4.0010252667683738e+08 3.9782533279032886e+08 3.9588401752231246e+08 3.9425399765203846e+08 3.9289170423022723e+08 3.9176909196442926e+08 3.9083474873264664e+08 3.9003265139031440e+08 3.8933439353158361e+08 3.8870490952436775e+08 3.8809741086984146e+08 3.8766313825122255e+08 3.8722322111437553e+08 3.8677373849461848e+08 3.8630272021846157e+08 3.8581674731693119e+08 3.8530070018649030e+08 3.8477793074001265e+08 3.8419309304042411e+08 3.8356721302090108e+08 3.8288877891692495e+08 3.8214880163965952e+08 3.8133635766352963e+08 3.8043914157392114e+08 3.7943828044004339e+08 3.7834186484073508e+08 3.7709987217691666e+08 3.7570741618874651e+08 3.7414429652347958e+08 3.7238877397374290e+08 3.7041843015270466e+08 3.6821077800882161e+08 3.6573979841270924e+08 3.6301469507765204e+08 3.5997954625544894e+08 3.5664828863206786e+08 3.5302862697996938e+08 3.4914895085550267e+08 3.4505756277948475e+08 3.4084640099416697e+08 3.3665121893887633e+08 3.3270147312669325e+08 3.2927134875430435e+08 3.2680533241502839e+08 3.2591705075613743e+08 3.2750186188480687e+08 3.3285920018262619e+08 3.4395841741715389e+08 3.6391631326672304e+08 3.9799487658419752e+08 1.8233832429063985e+08 +5.5303767922640938e+00 3.9754227870304072e+08 3.9750694863647199e+08 3.9744778208587974e+08 3.9737311660099506e+08 3.9730484211273932e+08 3.9727506292400241e+08 3.9729723343792695e+08 3.9734767245627218e+08 3.9740346256132805e+08 3.9746127710745913e+08 3.9752530753004682e+08 3.9759724749243635e+08 3.9767805326785833e+08 3.9776936237532181e+08 3.9787332129340130e+08 3.9799224689545053e+08 3.9812900569384718e+08 3.9828717948881489e+08 3.9847102203581041e+08 3.9868545017232800e+08 3.9893619060390705e+08 3.9922984733703631e+08 3.9957429474775010e+08 3.9998272189660966e+08 4.0047651077354324e+08 4.0106869770436323e+08 4.0176619198335135e+08 4.0258237509459573e+08 4.0353544118844843e+08 4.0464636665446961e+08 4.0593865860369855e+08 4.0743833186645275e+08 4.0917380095734477e+08 4.1117560134744346e+08 4.1347587095424128e+08 4.1610741707061845e+08 4.1910235843226850e+08 4.2249010810959053e+08 4.2629464985327566e+08 4.3053080184023899e+08 4.3556429575420725e+08 4.4107276557701880e+08 4.4699657354908288e+08 4.5323082640016925e+08 4.5961674262053794e+08 4.6593670852954245e+08 4.7191637376830286e+08 4.7723724457407105e+08 4.8156262221082693e+08 4.8457220771385705e+08 4.8600210798504132e+08 4.8571017689564395e+08 4.8370724784824854e+08 4.8010733283243138e+08 4.7514723451881444e+08 4.6915359367655402e+08 4.6247300585460371e+08 4.5544086635461366e+08 4.4833808621846277e+08 4.4140401375989586e+08 4.3479076070562923e+08 4.2862041770242828e+08 4.2294109861662090e+08 4.1780398603037941e+08 4.1320354880057615e+08 4.0912414789877254e+08 4.0555738595267856e+08 4.0246088619438523e+08 3.9978713447944987e+08 3.9750883037951344e+08 3.9556681347929764e+08 3.9393641267235076e+08 3.9257401019130516e+08 3.9145148953938580e+08 3.9051738811524224e+08 3.8971565313331759e+08 3.8901781384191787e+08 3.8838876973263127e+08 3.8778173774636781e+08 3.8734781205460012e+08 3.8690825066023231e+08 3.8645913336684012e+08 3.8598849861449718e+08 3.8550292162340391e+08 3.8498729779498571e+08 3.8446494575364810e+08 3.8388058446796483e+08 3.8325521424272907e+08 3.8257733267649019e+08 3.8183795799132538e+08 3.8102617554695725e+08 3.8012968993677092e+08 3.7912964640611935e+08 3.7803411493208027e+08 3.7679313319402927e+08 3.7540181051198232e+08 3.7383996296414983e+08 3.7208586902552766e+08 3.7011712854345655e+08 3.6791127275720602e+08 3.6544230642326176e+08 3.6271941228031850e+08 3.5968673292507780e+08 3.5635818561733270e+08 3.5274146886285990e+08 3.4886494912464011e+08 3.4477688963254946e+08 3.4056915384662545e+08 3.3637738728568494e+08 3.3243084743443406e+08 3.2900351378704602e+08 3.2653950394483155e+08 3.2565194785626543e+08 3.2723547050741416e+08 3.3258845047037691e+08 3.4367863887846267e+08 3.6362030390619093e+08 3.9767113712064731e+08 1.8192091487013963e+08 +5.5353451150383517e+00 3.9818721431079310e+08 3.9815180896959513e+08 3.9809251798217475e+08 3.9801768473284656e+08 3.9794923733814102e+08 3.9791933421822864e+08 3.9794145705409992e+08 3.9799188067937088e+08 3.9804764142895091e+08 3.9810540040629894e+08 3.9816935071321124e+08 3.9824118305986410e+08 3.9832184825888425e+08 3.9841297804472095e+08 3.9851671298749751e+08 3.9863536249074912e+08 3.9877178427074230e+08 3.9892954975945884e+08 3.9911290057530844e+08 3.9932673912843043e+08 3.9957677507424599e+08 3.9986959196172041e+08 4.0021303569818389e+08 4.0062024651197153e+08 4.0111255292397606e+08 4.0170296192571211e+08 4.0239834822001034e+08 4.0321204002619851e+08 4.0416216511274922e+08 4.0526962150423372e+08 4.0655782449377018e+08 4.0805268153330833e+08 4.0978248176059556e+08 4.1177761458728451e+08 4.1407004835087639e+08 4.1669239423618734e+08 4.1967654557760584e+08 4.2305165847103101e+08 4.2684142708356017e+08 4.3106034833559960e+08 4.3607219068840969e+08 4.4155531523400557e+08 4.4744963275986034e+08 4.5364984194158745e+08 4.5999685653554183e+08 4.6627294049197024e+08 4.7220389571169150e+08 4.7747174541746950e+08 4.8174073476535344e+08 4.8469193886408520e+08 4.8606319728205562e+08 4.8571423957001513e+08 4.8365767546262717e+08 4.8000902921687806e+08 4.7500609684360147e+08 4.6897593103377301e+08 4.6226501918516558e+08 4.5520825068647683e+08 4.4808581152008307e+08 4.4113621694947451e+08 4.3451081102859545e+08 4.2833097223352212e+08 4.2264426045160890e+08 4.1750136799035633e+08 4.1289642209852439e+08 4.0881351826443052e+08 4.0524403293681467e+08 4.0214545799517405e+08 3.9947017567158061e+08 3.9719078410940605e+08 3.9524808379651231e+08 3.9361731635317528e+08 3.9225481576559705e+08 3.9113239488997424e+08 3.9019854127862215e+08 3.8939717307912308e+08 3.8869975571522963e+08 3.8807115423468202e+08 3.8746459135313344e+08 3.8703101426703286e+08 3.8659181029458988e+08 3.8614306003567976e+08 3.8567281059351969e+08 3.8518763135428286e+08 3.8467243277046996e+08 3.8415050015471274e+08 3.8356661750005758e+08 3.8294175944164890e+08 3.8226443298498642e+08 3.8152566369789952e+08 3.8071454586581850e+08 3.7981879413776767e+08 3.7881957199331796e+08 3.7772492884248418e+08 3.7648496274127799e+08 3.7509477864836419e+08 3.7353420914848584e+08 3.7178155048212653e+08 3.6981442081513339e+08 3.6761036976399326e+08 3.6514342605658764e+08 3.6242275148456323e+08 3.5939255311481285e+08 3.5606672876503038e+08 3.5245297064557433e+08 3.4857962201784033e+08 3.4449490663794589e+08 3.4029061283406329e+08 3.3610227767849809e+08 3.3215895881273192e+08 3.2873442890822124e+08 3.2627243492118686e+08 3.2538560776107961e+08 3.2696783591581678e+08 3.3231643720973969e+08 3.4339755466191369e+08 3.6332291309252828e+08 3.9734588688813937e+08 1.8150403942927980e+08 +5.5403134378126095e+00 3.9882849488260418e+08 3.9879301398955023e+08 3.9873360344812524e+08 3.9865860362379158e+08 3.9858998407092196e+08 3.9855995754520613e+08 3.9858203250505143e+08 3.9863244023858643e+08 3.9868817115192932e+08 3.9874587403615218e+08 3.9880974366645569e+08 3.9888146777812994e+08 3.9896199171756816e+08 3.9905294142393547e+08 3.9915645154033405e+08 3.9927482398314458e+08 3.9941090764960742e+08 3.9956826358026123e+08 3.9975112121918565e+08 3.9996436851411229e+08 4.0021369802693576e+08 4.0050567279903758e+08 4.0084811021355498e+08 4.0125410157427198e+08 4.0174492176610363e+08 4.0233354834471124e+08 4.0302682138539439e+08 4.0383801575653529e+08 4.0478519272585875e+08 4.0588917182091719e+08 4.0717327637591445e+08 4.0866330631908214e+08 4.1038742526893640e+08 4.1237587644580841e+08 4.1466045850196296e+08 4.1727358645370162e+08 4.2024692824418610e+08 4.2360938311505419e+08 4.2738435592499846e+08 4.3158602282790768e+08 4.3657618809201342e+08 4.4203394308829993e+08 4.4789874919973719e+08 4.5406489979827833e+08 4.6037300739308202e+08 4.6660521770429504e+08 4.7248748941421068e+08 4.7770236713421518e+08 4.8191504347035432e+08 4.8480796948844945e+08 4.8612071686365849e+08 4.8571488745791382e+08 4.8360486136349148e+08 4.7990766739375103e+08 4.7486208673259586e+08 4.6879557651460856e+08 4.6205451021650606e+08 4.5497326758496952e+08 4.4783130778347117e+08 4.4086631279295552e+08 4.3422885980409127e+08 4.2803961646326792e+08 4.2234559025491762e+08 4.1719698474172723e+08 4.1258758700664234e+08 4.0850122832072484e+08 4.0492906003947300e+08 4.0182844362078363e+08 3.9915165853025186e+08 3.9687120217976129e+08 3.9492783661109495e+08 3.9329671678055382e+08 3.9193412899847156e+08 3.9081181602938473e+08 3.8987821621287417e+08 3.8907721919829315e+08 3.8838022710550928e+08 3.8775207097187483e+08 3.8714597961863363e+08 3.8671275280742127e+08 3.8627390792812032e+08 3.8582552640183103e+08 3.8535566404622042e+08 3.8487088439144987e+08 3.8435611298390657e+08 3.8383460180407000e+08 3.8325119998507583e+08 3.8262685645306975e+08 3.8195008766478944e+08 3.8121192656586456e+08 3.8040147641064268e+08 3.7950646194917917e+08 3.7850806495343655e+08 3.7741431430125171e+08 3.7617536852280301e+08 3.7478632827321124e+08 3.7322704271992087e+08 3.7147582595061463e+08 3.6951031453528559e+08 3.6730807655093247e+08 3.6484316478389645e+08 3.6212472010593462e+08 3.5909701417823231e+08 3.5577392536088443e+08 3.5216313953983378e+08 3.4829297666776800e+08 3.4421162084465486e+08 3.4001078491985583e+08 3.3582589699427718e+08 3.3188581405832011e+08 3.2846410084441262e+08 3.2600413202054596e+08 3.2511803712845421e+08 3.2669896480043328e+08 3.3204316720109475e+08 3.4311517179354578e+08 3.6302414825982231e+08 3.9701913401752341e+08 1.8108769937614647e+08 +5.5452817605868674e+00 3.9946612869056618e+08 3.9943057731084883e+08 3.9937103921878362e+08 3.9929587491138482e+08 3.9922708318157768e+08 3.9919693373721999e+08 3.9921896062768286e+08 3.9926935198138487e+08 3.9932505257767057e+08 3.9938269884799516e+08 3.9944648724387515e+08 3.9951810250520843e+08 3.9959848450532877e+08 3.9968925338127309e+08 3.9979253782503814e+08 3.9991063225207943e+08 4.0004637671968681e+08 4.0020332184968764e+08 4.0038568487742317e+08 4.0059833925340992e+08 4.0084696040249342e+08 4.0113809080959016e+08 4.0147951927830040e+08 4.0188428809568816e+08 4.0237361834568393e+08 4.0296045804889506e+08 4.0365161261417627e+08 4.0446030347642881e+08 4.0540452528546995e+08 4.0650501894009793e+08 4.0778501567728913e+08 4.0927020775875986e+08 4.1098863314357185e+08 4.1297038873159677e+08 4.1524710338784695e+08 4.1785099590186131e+08 4.2081350884152883e+08 4.2416328471919972e+08 4.2792343936405456e+08 4.3210782865826356e+08 4.3707629174262142e+08 4.4250865341698730e+08 4.4834392770963770e+08 4.5447600544004518e+08 4.6074520135173547e+08 4.6693354706374139e+08 4.7276716254084051e+08 4.7792911815984076e+08 4.8208555749836951e+08 4.8492030942394835e+08 4.8617467712153250e+08 4.8571213136428624e+08 4.8354881661220610e+08 4.7980325852486050e+08 4.7471521530940098e+08 4.6861254109249437e+08 4.6184148969448817e+08 4.5473592752315700e+08 4.4757458519096124e+08 4.4059431118253487e+08 4.3394491664937741e+08 4.2774635975545478e+08 4.2204509716102743e+08 4.1689084521645576e+08 4.1227705227960569e+08 4.0818728666908830e+08 4.0461247573022068e+08 4.0150985143090379e+08 3.9883159132177043e+08 3.9655009278023314e+08 3.9460608004883981e+08 3.9297462202929223e+08 3.9161195792552125e+08 3.9048976096154022e+08 3.8955642089680183e+08 3.8875579945025885e+08 3.8805923595718306e+08 3.8743152787401998e+08 3.8682591045999122e+08 3.8639303558490527e+08 3.8595455146031690e+08 3.8550654035617745e+08 3.8503706685442287e+08 3.8455268860553920e+08 3.8403834629634655e+08 3.8351725855104202e+08 3.8293433976070154e+08 3.8231051310240817e+08 3.8163430452655405e+08 3.8089675439191055e+08 3.8008697496115059e+08 3.7919270113219118e+08 3.7819513302753121e+08 3.7710227902624285e+08 3.7586435823128915e+08 3.7447646705095708e+08 3.7291847131116098e+08 3.7116870302788568e+08 3.6920481725997412e+08 3.6700440063022852e+08 3.6454153006720889e+08 3.6182532555067199e+08 3.5880012345915985e+08 3.5547978268088448e+08 3.5187198274801552e+08 3.4800502019750434e+08 3.4392703929238468e+08 3.3972967705717558e+08 3.3554825210145688e+08 3.3161141995821923e+08 3.2819253631295937e+08 3.2573460190963268e+08 3.2484924260735029e+08 3.2642886384257323e+08 3.3176864723483419e+08 3.4283149729100335e+08 3.6272401683279324e+08 3.9669088662776077e+08 1.8067189610540617e+08 +5.5502500833611252e+00 4.0010011001314408e+08 4.0006448608592874e+08 4.0000482753699946e+08 3.9992949967430496e+08 3.9986053567717320e+08 3.9983026369097722e+08 3.9985224231735611e+08 3.9990261681536829e+08 3.9995828661309457e+08 4.0001587575216526e+08 4.0007958235773939e+08 4.0015108815848494e+08 4.0023132754379153e+08 4.0032191484284359e+08 4.0042497277381283e+08 4.0054278823775029e+08 4.0067819242816919e+08 4.0083472552604723e+08 4.0101659252029485e+08 4.0122865233042383e+08 4.0147656320120680e+08 4.0176684701357073e+08 4.0210726393505782e+08 4.0251080714640701e+08 4.0299864376712167e+08 4.0358369218266213e+08 4.0427272309978306e+08 4.0507890443629587e+08 4.0602016410758102e+08 4.0711716425646329e+08 4.0839304388407367e+08 4.0987338744590336e+08 4.1158610710254002e+08 4.1356115330999732e+08 4.1582998504438978e+08 4.1842462481636465e+08 4.2137628983742225e+08 4.2471336601757038e+08 4.2845868044217616e+08 4.3262576922261673e+08 4.3757250547120899e+08 4.4297945054850382e+08 4.4878517318061483e+08 4.5488316438486093e+08 4.6111344461730093e+08 4.6725793551050740e+08 4.7304292279597896e+08 4.7815200696410060e+08 4.8225228605201602e+08 4.8502896853318202e+08 4.8622508846714413e+08 4.8570598210816622e+08 4.8348955227885252e+08 4.7969581377653044e+08 4.7456549369644755e+08 4.6842683573768127e+08 4.6162596835963106e+08 4.5449624096757686e+08 4.4731565391663903e+08 4.4032022200175416e+08 4.3365899117111695e+08 4.2745121146212792e+08 4.2174279029365736e+08 4.1658295833579189e+08 4.1196482666122669e+08 4.0787170190054715e+08 4.0429428846969944e+08 4.0118968977416670e+08 3.9850998230195183e+08 3.9622746408901721e+08 3.9428282222488219e+08 3.9265104016421497e+08 3.9128831056985706e+08 3.9016623767888749e+08 3.8923316329874599e+08 3.8843292178424084e+08 3.8773679020286584e+08 3.8710953286115599e+08 3.8650439178467143e+08 3.8607187049698728e+08 3.8563374878037041e+08 3.8518610977868211e+08 3.8471702688753784e+08 3.8423305185732740e+08 3.8371914055730492e+08 3.8319847823492724e+08 3.8261604465426487e+08 3.8199273720399040e+08 3.8131709137144965e+08 3.8058015496132946e+08 3.7977104928577065e+08 3.7887751943731827e+08 3.7788078394590580e+08 3.7678883072575498e+08 3.7555193955011815e+08 3.7416520263615930e+08 3.7260850254459333e+08 3.7086018930116379e+08 3.6889793653674531e+08 3.6669934950321066e+08 3.6423852935737574e+08 3.6152457521417218e+08 3.5850188829175550e+08 3.5518430799119014e+08 3.5157950746190101e+08 3.4771575972007424e+08 3.4364116901057953e+08 3.3944729619057876e+08 3.3526934985867351e+08 3.3133578329089361e+08 3.2791974202232915e+08 3.2546385124707890e+08 3.2457923083804303e+08 3.2615753971435887e+08 3.3149288409281784e+08 3.4254653816145492e+08 3.6242252622504079e+08 3.9636115282764441e+08 1.8025663099835765e+08 +5.5552184061353831e+00 4.0073044659654176e+08 4.0069474922340310e+08 4.0063496780404007e+08 4.0055947726412827e+08 4.0049034257458562e+08 4.0045994837030566e+08 4.0048187853032953e+08 4.0053223570786494e+08 4.0058787422356975e+08 4.0064540571737432e+08 4.0070902997979724e+08 4.0078042571373844e+08 4.0086052181257206e+08 4.0095092679364067e+08 4.0105375737750483e+08 4.0117129293763947e+08 4.0130635578213096e+08 4.0146247562541324e+08 4.0164384517587113e+08 4.0185530878767407e+08 4.0210250748225474e+08 4.0239194248851568e+08 4.0273134528538543e+08 4.0313365985619730e+08 4.0361999919404393e+08 4.0420325195021558e+08 4.0489015409336460e+08 4.0569381994363832e+08 4.0663211056723940e+08 4.0772560922235322e+08 4.0899736254046923e+08 4.1047284703144288e+08 4.1217984892343742e+08 4.1414817210376167e+08 4.1640910556577820e+08 4.1899447548954415e+08 4.2193527375390941e+08 4.2525962980038416e+08 4.2899008225763488e+08 4.3313984797071379e+08 4.3806483316305560e+08 4.4344633886417991e+08 4.4922249055495840e+08 4.5528638219967860e+08 4.6147774343989623e+08 4.6757839002678430e+08 4.7331477792253989e+08 4.7837104205249935e+08 4.8241523836410791e+08 4.8513395670291388e+08 4.8627196133036768e+08 4.8569645052153254e+08 4.8342707944181043e+08 4.7958534431749803e+08 4.7441293301729244e+08 4.6823847141689473e+08 4.6140795694733256e+08 4.5425421837700653e+08 4.4705452412578267e+08 4.4004405512415278e+08 4.3337109296637130e+08 4.2715418092618293e+08 4.2143867876622546e+08 4.1627333301027477e+08 4.1165091888541245e+08 4.0755448259471685e+08 4.0397450670634997e+08 4.0086796698829788e+08 3.9818683971517795e+08 3.9590332427366722e+08 3.9395807124364352e+08 3.9232597923798156e+08 3.9096319494470906e+08 3.8984125416344988e+08 3.8890845137582546e+08 3.8810859413778186e+08 3.8741289776496369e+08 3.8678609384173459e+08 3.8618143148805225e+08 3.8574926543110198e+08 3.8531150776647216e+08 3.8486424253784400e+08 3.8439555200558138e+08 3.8391198199610329e+08 3.8339850360564852e+08 3.8287826868409705e+08 3.8229632248199469e+08 3.8167353656141794e+08 3.8099845598864388e+08 3.8026213604873139e+08 3.7945370714348769e+08 3.7856092460483801e+08 3.7756502542795974e+08 3.7647397709755325e+08 3.7523812015103394e+08 3.7385254267271984e+08 3.7229714403199375e+08 3.7055029234642136e+08 3.6858967990089792e+08 3.6639293066104680e+08 3.6393417009564728e+08 3.6122247648197776e+08 3.5820231599984121e+08 3.5488750854745770e+08 3.5128572086440784e+08 3.4742520233931553e+08 3.4335401702000910e+08 3.3916364925423366e+08 3.3498919711478835e+08 3.3105891082517231e+08 3.2764572467151666e+08 3.2519188668117672e+08 3.2430800845105332e+08 3.2588499907912397e+08 3.3121588454656750e+08 3.4226030140298837e+08 3.6211968384108388e+08 3.9602994071394968e+08 1.7984190542298135e+08 +5.5601867289096409e+00 4.0135713482364666e+08 4.0132136528824455e+08 4.0126146075366712e+08 4.0118580843930954e+08 4.0111650483034408e+08 4.0108598879973632e+08 4.0110787028608942e+08 4.0115820968484992e+08 4.0121381643183333e+08 4.0127128977061456e+08 4.0133483113989490e+08 4.0140611620524800e+08 4.0148606835025024e+08 4.0157629027672601e+08 4.0167889268541348e+08 4.0179614740855759e+08 4.0193086784600192e+08 4.0208657322227216e+08 4.0226744393033910e+08 4.0247830972486323e+08 4.0272479436221409e+08 4.0301337837178862e+08 4.0335176448915881e+08 4.0375284741284209e+08 4.0423768584763443e+08 4.0481913861315346e+08 4.0550390690518647e+08 4.0630505136501819e+08 4.0724036609690809e+08 4.0833035534846401e+08 4.0959797324832463e+08 4.1106858822447008e+08 4.1276986043964177e+08 4.1473144709370494e+08 4.1698446710260743e+08 4.1956055027093595e+08 4.2249046317152071e+08 4.2580207891289616e+08 4.2951764796279299e+08 4.3365006840770441e+08 4.3855327875643235e+08 4.4390932279677403e+08 4.4965588482438958e+08 4.5568566449939996e+08 4.6183810411606961e+08 4.6789491763741618e+08 4.7358273570261335e+08 4.7858623196310771e+08 4.8257442369590479e+08 4.8523528384383845e+08 4.8631530615968084e+08 4.8568354744978470e+08 4.8336140918767005e+08 4.7947186132181489e+08 4.7425754439395994e+08 4.6804745909398311e+08 4.6118746618654317e+08 4.5400987020305228e+08 4.4679120597480345e+08 4.3976582041421509e+08 4.3308123162199110e+08 4.2685527747981942e+08 4.2113277168131357e+08 4.1596197813962394e+08 4.1133533767401052e+08 4.0723563732066298e+08 4.0365313887760961e+08 4.0054469139965808e+08 3.9786217179459333e+08 3.9557768148983043e+08 3.9363183519805032e+08 3.9199944729328728e+08 3.9063661905207241e+08 3.8951481838505280e+08 3.8858229307426023e+08 3.8778282443794483e+08 3.8708756655471450e+08 3.8646121871303236e+08 3.8585703745582986e+08 3.8542522826316553e+08 3.8498783628548223e+08 3.8454094649159843e+08 3.8407265005683488e+08 3.8358948686032128e+08 3.8307644326961750e+08 3.8255663771560484e+08 3.8197518104964852e+08 3.8135291896761918e+08 3.8067840615781188e+08 3.7994270541827995e+08 3.7913495628154427e+08 3.7824292436414886e+08 3.7724786518323827e+08 3.7615772582737249e+08 3.7492290769538552e+08 3.7353849479326087e+08 3.7198440337535238e+08 3.7023901972929776e+08 3.6828005487873125e+08 3.6608515158498347e+08 3.6362845971260977e+08 3.6091903672961217e+08 3.5790141389669102e+08 3.5458939159607232e+08 3.5099063012787205e+08 3.4713335514856285e+08 3.4306559033060861e+08 3.3887874317342395e+08 3.3470780070968997e+08 3.3078080932048249e+08 3.2737049094989544e+08 3.2491871485185635e+08 3.2403558206818223e+08 3.2561124859052050e+08 3.3093765535890234e+08 3.4197279400369006e+08 3.6181549707384360e+08 3.9569725837276047e+08 1.7942772073399138e+08 +5.5651550516838988e+00 4.0198017936391807e+08 4.0194433333222210e+08 4.0188430990379882e+08 4.0180849549914694e+08 4.0173902344302994e+08 4.0170838605474162e+08 4.0173021866823798e+08 4.0178053983153468e+08 4.0183611431922352e+08 4.0189352899695623e+08 4.0195698692651361e+08 4.0202816072558373e+08 4.0210796825294369e+08 4.0219800639488351e+08 4.0230037980492783e+08 4.0241735276480502e+08 4.0255172974274367e+08 4.0270701945018458e+08 4.0288738992856741e+08 4.0309765630143940e+08 4.0334342501648057e+08 4.0363115585728157e+08 4.0396852276427329e+08 4.0436837106167120e+08 4.0485170500713205e+08 4.0543135349134302e+08 4.0611398290306699e+08 4.0691260012455910e+08 4.0784493218678021e+08 4.0893140420266759e+08 4.1019487766682959e+08 4.1166061279121357e+08 4.1335614354267079e+08 4.1531098031716073e+08 4.1755607186299366e+08 4.2012285156655806e+08 4.2304186072461933e+08 4.2634071625676095e+08 4.3004138076484847e+08 4.3415643409193242e+08 4.3903784624138755e+08 4.4436840683116812e+08 4.5008536103097010e+08 4.5608101694664937e+08 4.6219453298702729e+08 4.6820752541004062e+08 4.7384680395569390e+08 4.7879758526908344e+08 4.8272985133830196e+08 4.8533295989019912e+08 4.8635513342170435e+08 4.8566728375172371e+08 4.8329255261076599e+08 4.7935537596488541e+08 4.7409933894825900e+08 4.6785380972855753e+08 4.6096450680064428e+08 4.5376320688998431e+08 4.4652570961156976e+08 4.3948552772656316e+08 4.3278941671494353e+08 4.2655451044393331e+08 4.2082507813035035e+08 4.1564890261156362e+08 4.1101809173794627e+08 4.0691517463582766e+08 4.0333019341038138e+08 4.0021987132400662e+08 3.9753598676276070e+08 3.9525054388312989e+08 3.9330412216970903e+08 3.9167145236096376e+08 3.9030859088247967e+08 3.8918693830342293e+08 3.8825469632910347e+08 3.8745562060058337e+08 3.8676080447187316e+08 3.8613491536177832e+08 3.8553121756111723e+08 3.8509976685805631e+08 3.8466274219334012e+08 3.8421622948757774e+08 3.8374832887841946e+08 3.8326557427779210e+08 3.8275296736669087e+08 3.8223359313654882e+08 3.8165262815173036e+08 3.8103089220440573e+08 3.8035694964695114e+08 3.7962187082323712e+08 3.7881480443644053e+08 3.7792352643327981e+08 3.7692931090952319e+08 3.7584008459180754e+08 3.7460630983378106e+08 3.7322306662062997e+08 3.7167028816472799e+08 3.6992637900518131e+08 3.6796906898528397e+08 3.6577601974552834e+08 3.6332140562869006e+08 3.6061426332185960e+08 3.5759918928574932e+08 3.5428996437266523e+08 3.5069424241414469e+08 3.4684022523143327e+08 3.4277589594340944e+08 3.3859258486308020e+08 3.3442516747372013e+08 3.3050148552637732e+08 3.2709404753826338e+08 3.2464434238919324e+08 3.2376195830174369e+08 3.2533629489285189e+08 3.3065820328306824e+08 3.4168402294173747e+08 3.6150997330737567e+08 3.9536311387865949e+08 1.7901407827288514e+08 +5.5701233744581566e+00 4.0259957584077412e+08 4.0256365877251720e+08 4.0250351382653332e+08 4.0242754002712315e+08 4.0235789956167221e+08 4.0232714125753176e+08 4.0234892482310206e+08 4.0239922729073548e+08 4.0245476902486557e+08 4.0251212454020149e+08 4.0257549848538220e+08 4.0264656042509526e+08 4.0272622267531896e+08 4.0281607630640930e+08 4.0291821990150899e+08 4.0303491017896217e+08 4.0316894265345150e+08 4.0332381549992031e+08 4.0350368437385994e+08 4.0371334973365486e+08 4.0395840067809737e+08 4.0424527619850338e+08 4.0458162138645542e+08 4.0498023210596913e+08 4.0546205800972039e+08 4.0603989796227616e+08 4.0672038351207632e+08 4.0751646770343989e+08 4.0844581038418978e+08 4.0952875741028446e+08 4.1078807751223302e+08 4.1224892255458272e+08 4.1393870018092567e+08 4.1588677386803448e+08 4.1812392211061370e+08 4.2068138183727485e+08 4.2358946910502267e+08 4.2687554478783715e+08 4.3056128392565840e+08 4.3465894863544703e+08 4.3951853966195148e+08 4.4482359550273925e+08 4.5051092426635176e+08 4.5647244525129724e+08 4.6254703643906283e+08 4.6851622045261824e+08 4.7410699053960139e+08 4.7900511057683760e+08 4.8288153061033732e+08 4.8542699479988575e+08 4.8639145360075051e+08 4.8564767029703254e+08 4.8322052081209892e+08 4.7923589942649418e+08 4.7393832780169052e+08 4.6765753427719039e+08 4.6073908950726473e+08 4.5351423887350041e+08 4.4625804517504233e+08 4.3920318690587586e+08 4.3249565781159520e+08 4.2625188912946218e+08 4.2051560719436789e+08 4.1533411530457771e+08 4.1069918977781510e+08 4.0659310308636796e+08 4.0300567871957994e+08 3.9989351506511950e+08 3.9720829283016038e+08 3.9492191958711278e+08 3.9297494022955179e+08 3.9134200246066248e+08 3.8997911841573280e+08 3.8885762186707181e+08 3.8792566906430221e+08 3.8712699052987581e+08 3.8643261940530491e+08 3.8580719166354376e+08 3.8520397966718799e+08 3.8477288907019758e+08 3.8433623333537734e+08 3.8389009936114603e+08 3.8342259629643095e+08 3.8294025206455076e+08 3.8242808370208871e+08 3.8190914274187291e+08 3.8132867157184064e+08 3.8070746404280698e+08 3.8003409421318829e+08 3.7929964000563252e+08 3.7849325933398354e+08 3.7760273852014881e+08 3.7660937029415500e+08 3.7552106105563200e+08 3.7428833420611197e+08 3.7290626576646525e+08 3.7135480598078740e+08 3.6961237771834838e+08 3.6765672972473985e+08 3.6546554260195404e+08 3.6301301525346339e+08 3.6030816361277509e+08 3.5729564946035260e+08 3.5398923410229838e+08 3.5039656487569177e+08 3.4654581966135067e+08 3.4248494084885395e+08 3.3830518122848117e+08 3.3414130422673792e+08 3.3022094618345541e+08 3.2681640110719424e+08 3.2436877591420901e+08 3.2348714375446177e+08 3.2506014462157309e+08 3.3037753506279838e+08 3.4139399518582350e+08 3.6120311991402829e+08 3.9502751529459327e+08 1.7860097936799484e+08 +5.5750916972324145e+00 4.0321533019870484e+08 4.0317934210325974e+08 4.0311907687500435e+08 4.0304294258178109e+08 4.0297313448000741e+08 4.0294225558798254e+08 4.0296398996037030e+08 4.0301427326272780e+08 4.0306978174551094e+08 4.0312707760054410e+08 4.0319036702130324e+08 4.0326131651166207e+08 4.0334083282933974e+08 4.0343050122921938e+08 4.0353241419814765e+08 4.0364882088109404e+08 4.0378250781643236e+08 4.0393696261982328e+08 4.0411632852574974e+08 4.0432539129591018e+08 4.0456972263744241e+08 4.0485574070511538e+08 4.0519106168843395e+08 4.0558843190670627e+08 4.0606874624965823e+08 4.0664477346083266e+08 4.0732311021403962e+08 4.0811665564073581e+08 4.0904300229442006e+08 4.1012241665400201e+08 4.1137757455831635e+08 4.1283351939504862e+08 4.1451753235860264e+08 4.1645882989586633e+08 4.1868802016514158e+08 4.2123614360059339e+08 4.2413329105862796e+08 4.2740656751733637e+08 4.3107736076122558e+08 4.3515761570418090e+08 4.3999536311381346e+08 4.4527489339826941e+08 4.5093257967053854e+08 4.5685995517033529e+08 4.6289562090274590e+08 4.6882100991505855e+08 4.7436330334956294e+08 4.7920881652546704e+08 4.8302947085934526e+08 4.8551739855395955e+08 4.8642427719898903e+08 4.8562471796906114e+08 4.8314532490048230e+08 4.7911344288814235e+08 4.7377452207418156e+08 4.6745864369162774e+08 4.6051122501715863e+08 4.5326297658146709e+08 4.4598822279514450e+08 4.3891880778712034e+08 4.3219996446759582e+08 4.2594742283649898e+08 4.2020436794267970e+08 4.1501762508476639e+08 4.1037864048157102e+08 4.0626943120807934e+08 4.0267960320877433e+08 3.9956563091617286e+08 3.9687909819639146e+08 3.9459181672399306e+08 3.9264429743653387e+08 3.9101110560046929e+08 3.8964820961915576e+08 3.8852687701180613e+08 3.8759521919191152e+08 3.8679694211928588e+08 3.8610301923253679e+08 3.8547805548211062e+08 3.8487533162520450e+08 3.8444460274136537e+08 3.8400831754466325e+08 3.8356256393657553e+08 3.8309546012669414e+08 3.8261352802599227e+08 3.8210180007134289e+08 3.8158329431543982e+08 3.8100331908216077e+08 3.8038264224220335e+08 3.7970984760225832e+08 3.7897602069655281e+08 3.7817032868877912e+08 3.7728056832118672e+08 3.7628805101356119e+08 3.7520066287243146e+08 3.7396898844123125e+08 3.7258809983129936e+08 3.7103796439181763e+08 3.6929702340200853e+08 3.6734304459105927e+08 3.6515372760327750e+08 3.6270329598601377e+08 3.6000074494696641e+08 3.5699080170227122e+08 3.5368720800052190e+08 3.5009760465442777e+08 3.4625014550219965e+08 3.4219273202767599e+08 3.3801653916529036e+08 3.3385621778002477e+08 3.2993919802245110e+08 3.2653755831783134e+08 3.2409202203831571e+08 3.2321114501979929e+08 3.2478280440160853e+08 3.3009565743125671e+08 3.4110271769385660e+08 3.6089494425600731e+08 3.9469047067229152e+08 1.7818842533453706e+08 +5.5800600200066723e+00 4.0382744108778065e+08 4.0379138017598861e+08 4.0373099750884759e+08 4.0365470395404696e+08 4.0358472955132985e+08 4.0355373029143834e+08 4.0357541534657115e+08 4.0362567900555170e+08 4.0368115373624361e+08 4.0373838943652588e+08 4.0380159379529816e+08 4.0387243025056714e+08 4.0395179998496467e+08 4.0404128243720824e+08 4.0414296397518045e+08 4.0425908615878552e+08 4.0439242652775139e+08 4.0454646211550766e+08 4.0472532370165610e+08 4.0493378231887829e+08 4.0517739224282259e+08 4.0546255074412352e+08 4.0579684506094795e+08 4.0619297188185722e+08 4.0667177117840910e+08 4.0724598147906506e+08 4.0792216454988086e+08 4.0871316553187984e+08 4.0963650957903671e+08 4.1071238367282158e+08 4.1196337063515455e+08 4.1341440524865782e+08 4.1509264213697463e+08 4.1702715060799187e+08 4.1924836840249795e+08 4.2178713942933857e+08 4.2467332938629091e+08 4.2793378751028007e+08 4.3158961464097089e+08 4.3565243901571667e+08 4.4046832074440879e+08 4.4572230515452582e+08 4.5135033243289548e+08 4.5724355250708860e+08 4.6324029285301113e+08 4.6912190098809236e+08 4.7461575031831801e+08 4.7940871178692788e+08 4.8317368146077710e+08 4.8560418115503609e+08 4.8645361473552287e+08 4.8559843766183949e+08 4.8306697599175280e+08 4.7898801753422123e+08 4.7360793288481581e+08 4.6725714891967785e+08 4.6028092403437674e+08 4.5300943043487269e+08 4.4571625259184784e+08 4.3863240019514233e+08 4.3190234622813284e+08 4.2564112085339421e+08 4.1989136943427682e+08 4.1469944080698597e+08 4.1005645252674049e+08 4.0594416752406418e+08 4.0235197527098763e+08 3.9923622715774751e+08 3.9654841104961234e+08 3.9426024340497071e+08 3.9231220183829123e+08 3.9067876977751368e+08 3.8931587244965273e+08 3.8819471166370255e+08 3.8726335461314040e+08 3.8646548325017804e+08 3.8577201181980181e+08 3.8514751467018616e+08 3.8454528127559394e+08 3.8411491570325059e+08 3.8367900264413011e+08 3.8323363102769911e+08 3.8276692817221355e+08 3.8228540995634633e+08 3.8177412425741333e+08 3.8125605563048124e+08 3.8067657844391793e+08 3.8005643455127192e+08 3.7938421754891884e+08 3.7865102061539060e+08 3.7784602020417625e+08 3.7695702352134722e+08 3.7596536073252022e+08 3.7487889768579298e+08 3.7364828015681976e+08 3.7226857640462959e+08 3.7071977095665848e+08 3.6898032357935297e+08 3.6702802106719530e+08 3.6484058218842441e+08 3.6239225521495497e+08 3.5969201465703166e+08 3.5668465328401381e+08 3.5338389327189773e+08 3.4979736888174570e+08 3.4595320980627817e+08 3.4189927645013428e+08 3.3772666555904162e+08 3.3356991493380362e+08 3.2965624776399612e+08 3.2625752582227629e+08 3.2381408736320263e+08 3.2293396868187946e+08 3.2450428084931070e+08 3.2981257711314905e+08 3.4081019741489178e+08 3.6058545368485487e+08 3.9435198805146414e+08 1.7777641747466409e+08 +5.5850283427809302e+00 4.0443591024209273e+08 4.0439977646571654e+08 4.0433927828219867e+08 4.0426282619675004e+08 4.0419268606500626e+08 4.0416156669050598e+08 4.0418320230346286e+08 4.0423344583332324e+08 4.0428888630918723e+08 4.0434606136325938e+08 4.0440918012555408e+08 4.0447990296430135e+08 4.0455912546763074e+08 4.0464842126258934e+08 4.0474987056988573e+08 4.0486570735606170e+08 4.0499870013996631e+08 4.0515231534983623e+08 4.0533067127639794e+08 4.0553852419180900e+08 4.0578141089849246e+08 4.0606570774045146e+08 4.0639897295133191e+08 4.0679385350633574e+08 4.0727113430489540e+08 4.0784352356524110e+08 4.0851754811504054e+08 4.0930599902966559e+08 4.1022633395644271e+08 4.1129866026227099e+08 4.1254546762886328e+08 4.1399158210826284e+08 4.1566403163265628e+08 4.1759173826569194e+08 4.1980496925385243e+08 4.2233437195134592e+08 4.2520958694449419e+08 4.2845720788655388e+08 4.3209804898863167e+08 4.3614342234241253e+08 4.4093741675301296e+08 4.4616583545902693e+08 4.5176418779179275e+08 4.5762324311231011e+08 4.6358105880759579e+08 4.6941890090292764e+08 4.7486433941463888e+08 4.7960480506678963e+08 4.8331417181739122e+08 4.8568735262912369e+08 4.8647947674652946e+08 4.8556884028225636e+08 4.8298548520794266e+08 4.7885963455157191e+08 4.7343857135053402e+08 4.6705306090526330e+08 4.6004819725719285e+08 4.5275361084454221e+08 4.4544214467646074e+08 4.3834397394418657e+08 4.3160281262805766e+08 4.2533299245830107e+08 4.1957662071586877e+08 4.1437957131477898e+08 4.0973263457887161e+08 4.0561732054657590e+08 4.0202280328635168e+08 3.9890531205984354e+08 3.9621623956612796e+08 3.9392720772863358e+08 3.9197866147089154e+08 3.9034500297697997e+08 3.8898211485239047e+08 3.8786113373612863e+08 3.8693008321737057e+08 3.8613262179315579e+08 3.8543960502169186e+08 3.8481557706861299e+08 3.8421383644657606e+08 3.8378383577570826e+08 3.8334829644457144e+08 3.8290330843598956e+08 3.8243700822568274e+08 3.8195590563749921e+08 3.8144506403283328e+08 3.8092743444843781e+08 3.8034845740644360e+08 3.7972884870698982e+08 3.7905721177681857e+08 3.7832464747122276e+08 3.7752034157210690e+08 3.7663211179491574e+08 3.7564130710504597e+08 3.7455577312692034e+08 3.7332621695984465e+08 3.7194770306548959e+08 3.7040023322165656e+08 3.6866228576185316e+08 3.6671166662478048e+08 3.6452611378383732e+08 3.6207990031725091e+08 3.5938198006572372e+08 3.5637721146667677e+08 3.5307929711050689e+08 3.4949586467883396e+08 3.4565501961732537e+08 3.4160458107708174e+08 3.3743556728466833e+08 3.3328240247911876e+08 3.2937210211925036e+08 3.2597631026171422e+08 3.2353497848099577e+08 3.2265562131465232e+08 3.2422458057080972e+08 3.2952830082274830e+08 3.4051644128612518e+08 3.6027465554147339e+08 3.9401207546036553e+08 1.7736495707751447e+08 +5.5899966655551880e+00 4.0504073935470587e+08 4.0500453874121928e+08 4.0494391952221823e+08 4.0486731026620775e+08 4.0479700525511366e+08 4.0476576617875183e+08 4.0478735220398378e+08 4.0483757511658376e+08 4.0489298083434343e+08 4.0495009475288630e+08 4.0501312738820428e+08 4.0508373603139842e+08 4.0516281066134155e+08 4.0525191909268504e+08 4.0535313537618822e+08 4.0546868587481469e+08 4.0560133006332421e+08 4.0575452374238563e+08 4.0593237268161601e+08 4.0613961835926485e+08 4.0638178006690609e+08 4.0666521317435044e+08 4.0699744686296320e+08 4.0739107831174397e+08 4.0786683719425273e+08 4.0843740132493573e+08 4.0910926256279182e+08 4.0989515784276581e+08 4.1081247720098901e+08 4.1188124827436769e+08 4.1312386748187774e+08 4.1456505202258813e+08 4.1623170301879013e+08 4.1815259518701154e+08 4.2035782520566779e+08 4.2287784384922874e+08 4.2574206664298379e+08 4.2897683181901759e+08 4.3260266727982652e+08 4.3663056950671315e+08 4.4140265538974816e+08 4.4660548904934692e+08 4.5217415103305715e+08 4.5799903288171798e+08 4.6391792532936299e+08 4.6971201693109208e+08 4.7510907864437079e+08 4.7979710510105067e+08 4.8345095135937864e+08 4.8576692302391171e+08 4.8650187378441620e+08 4.8553593674771190e+08 4.8290086367749763e+08 4.7872830512843055e+08 4.7326644858714354e+08 4.6684639058663577e+08 4.5981305537629020e+08 4.5249552821375436e+08 4.4516590914985996e+08 4.3805353883850050e+08 4.3130137319057006e+08 4.2502304691803443e+08 4.1926013082364023e+08 4.1405802544016433e+08 4.0940719529248732e+08 4.0528889877640396e+08 4.0169209562447697e+08 3.9857289388062137e+08 3.9588259191024059e+08 3.9359271778305203e+08 3.9164368435887998e+08 3.9000981317264742e+08 3.8864694476057053e+08 3.8752615113130522e+08 3.8659541288274413e+08 3.8579836560712439e+08 3.8510580668089300e+08 3.8448225050727409e+08 3.8388100495479852e+08 3.8345137076646948e+08 3.8301620674495071e+08 3.8257160395132524e+08 3.8210570806780052e+08 3.8162502284107667e+08 3.8111462715823126e+08 3.8059743851962727e+08 3.8001896370858443e+08 3.7939989243476069e+08 3.7872883799791765e+08 3.7799690896072114e+08 3.7719330047373867e+08 3.7630584080452001e+08 3.7531589777378702e+08 3.7423129681617385e+08 3.7300280644559342e+08 3.7162548738063550e+08 3.7007935872329372e+08 3.6834291744978768e+08 3.6639398872448087e+08 3.6421032980648333e+08 3.6176623866005582e+08 3.5907064848485559e+08 3.5606848350076079e+08 3.5277342669966853e+08 3.4919309915649915e+08 3.4535558196749514e+08 3.4130865285831034e+08 3.3714325120793521e+08 3.3299368719646639e+08 3.2908676778947258e+08 3.2569391826864767e+08 3.2325470197399849e+08 3.2237610948281527e+08 3.2394371016230404e+08 3.2924283526426107e+08 3.4022145623663849e+08 3.5996255715563315e+08 3.9367074091489553e+08 1.7695404541926220e+08 +5.5949649883294459e+00 4.0564193311936760e+08 4.0560566307506460e+08 4.0554492549508899e+08 4.0546815785649949e+08 4.0539768852321082e+08 4.0536633020894814e+08 4.0538786646865422e+08 4.0543806828254211e+08 4.0549343873803198e+08 4.0555049103411746e+08 4.0561343701573014e+08 4.0568393088779557e+08 4.0576285700599068e+08 4.0585177737307668e+08 4.0595275984485590e+08 4.0606802317211169e+08 4.0620031776331300e+08 4.0635308876910615e+08 4.0653042940485519e+08 4.0673706632337600e+08 4.0697850126509684e+08 4.0726106858367795e+08 4.0759226835689873e+08 4.0798464788607538e+08 4.0845888146764857e+08 4.0902761641989213e+08 4.0969730960197932e+08 4.1048064373591983e+08 4.1139494114378285e+08 4.1246014961709142e+08 4.1369857219291985e+08 4.1513481709571773e+08 4.1679565852318990e+08 4.1870972374441683e+08 4.2090693879883450e+08 4.2341755786022067e+08 4.2627077144672465e+08 4.2949266253520674e+08 4.3310347304423285e+08 4.3711388438451874e+08 4.4186404095648521e+08 4.4704127071164274e+08 4.5258022749043435e+08 4.5837092775671917e+08 4.6425089902170658e+08 4.7000125638360107e+08 4.7534997604933190e+08 4.7998562065808517e+08 4.8358402954378629e+08 4.8584290240819281e+08 4.8652081641841531e+08 4.8549973798605329e+08 4.8281312253507060e+08 4.7859404045496958e+08 4.7309157570826727e+08 4.6663714889812368e+08 4.5957550907549733e+08 4.5223519293715250e+08 4.4488755610380930e+08 4.3776110467153841e+08 4.3099803742839676e+08 4.2471129348712736e+08 4.1894190878172463e+08 4.1373481200320560e+08 4.0908014330976593e+08 4.0495891070149952e+08 4.0135986064239681e+08 3.9823898086565900e+08 3.9554747623538351e+08 3.9325678164390683e+08 3.9130727851457429e+08 3.8967320832577610e+08 3.8831037009568274e+08 3.8718977173968852e+08 3.8625935147519600e+08 3.8546272253835726e+08 3.8477062462898761e+08 3.8414754280398661e+08 3.8354679460675603e+08 3.8311752847302431e+08 3.8268274133341050e+08 3.8223852535356390e+08 3.8177303546786940e+08 3.8129276932614994e+08 3.8078282138300467e+08 3.8026607558222580e+08 3.7968810507677370e+08 3.7906957344951934e+08 3.7839910391271812e+08 3.7766781276997960e+08 3.7686490457832795e+08 3.7597821820141518e+08 3.7498914036978447e+08 3.7390547636298859e+08 3.7267805619772685e+08 3.7130193690698588e+08 3.6975715498600209e+08 3.6802222613287461e+08 3.6607499481679875e+08 3.6389323766190565e+08 3.6145127759927088e+08 3.5875802721531272e+08 3.5575847662649333e+08 3.5246628921257275e+08 3.4888907941454589e+08 3.4505490387850541e+08 3.4101149873329192e+08 3.3684972418366623e+08 3.3270377585715640e+08 3.2880025146571064e+08 3.2541035646519667e+08 3.2297326441535509e+08 3.2209543974092519e+08 3.2366167621092558e+08 3.2895618713214374e+08 3.3992524918331760e+08 3.5964916584667134e+08 3.9332799241981864e+08 1.7654368376316893e+08 +5.5999333111037037e+00 4.0623948725502777e+08 4.0620314764248091e+08 4.0614229373197854e+08 4.0606537043566704e+08 4.0599473752949888e+08 4.0596326027895254e+08 4.0598474656673974e+08 4.0603492681389147e+08 4.0609026150427926e+08 4.0614725169246691e+08 4.0621011049593139e+08 4.0628048902490962e+08 4.0635926599731183e+08 4.0644799760505098e+08 4.0654874548367149e+08 4.0666372076280153e+08 4.0679566476316905e+08 4.0694801196267492e+08 4.0712484298974937e+08 4.0733086964142120e+08 4.0757157606801939e+08 4.0785327556207383e+08 4.0818343904934281e+08 4.0857456387333822e+08 4.0904726880267292e+08 4.0961417056785315e+08 4.1028169099751329e+08 4.1106245853041565e+08 4.1197372767094326e+08 4.1303536625354779e+08 4.1426958381547195e+08 4.1570087948699659e+08 4.1735590042887706e+08 4.1926312636559248e+08 4.2145231262966788e+08 4.2395351677532363e+08 4.2679570437318003e+08 4.3000470331534922e+08 4.3360046986355311e+08 4.3759337090306658e+08 4.4232157780462193e+08 4.4747318528185743e+08 4.5298242254481614e+08 4.5873893372459936e+08 4.6457998653321147e+08 4.7028662661149144e+08 4.7558703970640761e+08 4.8017036053765738e+08 4.8371341585415334e+08 4.8591530087273920e+08 4.8653631523328406e+08 4.8546025493705857e+08 4.8272227292054111e+08 4.7845685172309828e+08 4.7291396382529932e+08 4.6642534676816118e+08 4.5933556903106856e+08 4.5197261540041625e+08 4.4460709561964238e+08 4.3746668122694558e+08 4.3069281484290826e+08 4.2439774140986079e+08 4.1862196360267699e+08 4.1340993981295288e+08 4.0875148726095641e+08 4.0462736479869783e+08 4.0102610668523264e+08 3.9790358124953485e+08 3.9521090068212330e+08 3.9291940737431836e+08 3.9096945193889558e+08 3.8933519638693225e+08 3.8797239876766253e+08 3.8685200343962961e+08 3.8592190684903252e+08 3.8512570042259353e+08 3.8443406668565792e+08 3.8381146176501608e+08 3.8321121319561058e+08 3.8278231667926395e+08 3.8234790798576719e+08 3.8190408040858042e+08 3.8143899818334711e+08 3.8095915284050125e+08 3.8044965444380134e+08 3.7993335336330777e+08 3.7935588922647148e+08 3.7873789945332432e+08 3.7806801721023834e+08 3.7733736657265425e+08 3.7653516154342556e+08 3.7564925162553513e+08 3.7466104251309705e+08 3.7357831936461961e+08 3.7235197378986150e+08 3.7097705918837517e+08 3.6943362952295947e+08 3.6770021928902578e+08 3.6575469233987796e+08 3.6357484474375314e+08 3.6113502447926122e+08 3.5844412354666173e+08 3.5544719807230049e+08 3.5215789181114912e+08 3.4858381254224473e+08 3.4475299236229682e+08 3.4071312563170975e+08 3.3655499305654758e+08 3.3241267522131348e+08 3.2851255982926118e+08 3.2512563146369791e+08 3.2269067236714506e+08 3.2181361863459802e+08 3.2337848529321605e+08 3.2866836311078787e+08 3.3962782703336424e+08 3.5933448892228842e+08 3.9298383796700943e+08 1.7613387335963303e+08 +5.6049016338779616e+00 4.0683340432410961e+08 4.0679699453980392e+08 4.0673602626911640e+08 4.0665894997195017e+08 4.0658815395746344e+08 4.0655655792192340e+08 4.0657799401675922e+08 4.0662815224835640e+08 4.0668345067233932e+08 4.0674037826826799e+08 4.0680314937373579e+08 4.0687341199081796e+08 4.0695203918814182e+08 4.0704058134473211e+08 4.0714109385460842e+08 4.0725578021635538e+08 4.0738737264081705e+08 4.0753929491110396e+08 4.0771561503669149e+08 4.0792102992794162e+08 4.0816100610542184e+08 4.0844183575896269e+08 4.0877096061297822e+08 4.0916082797328556e+08 4.0963200093214488e+08 4.1019706554150623e+08 4.1086240857035166e+08 4.1164060410228318e+08 4.1254883872419870e+08 4.1360690020301014e+08 4.1483690445828146e+08 4.1626324141106963e+08 4.1791243107423294e+08 4.1981280553323525e+08 4.2199394934793276e+08 4.2448572344070256e+08 4.2731686849440980e+08 4.3051295749226195e+08 4.3409366137172323e+08 4.3806903304148805e+08 4.4277527033688533e+08 4.4790123764507967e+08 4.5338074162539369e+08 4.5910305681754434e+08 4.6490519455300236e+08 4.7056813500482887e+08 4.7582027772891545e+08 4.8035133357112586e+08 4.8383911979987812e+08 4.8598412852914649e+08 4.8654838082957447e+08 4.8541749854945379e+08 4.8262832598015165e+08 4.7831675012510341e+08 4.7273362404753256e+08 4.6621099512071568e+08 4.5909324591261768e+08 4.5170780598010302e+08 4.4432453776896721e+08 4.3717027827596521e+08 4.3038571492424363e+08 4.2408239991834271e+08 4.1830030428717083e+08 4.1308341766590476e+08 4.0842123576483822e+08 4.0429426953295767e+08 4.0069084208665299e+08 3.9756670325435048e+08 3.9487287337955350e+08 3.9258060302736789e+08 3.9063021262052137e+08 3.8899578529405433e+08 3.8763303867431897e+08 3.8651285409811193e+08 3.8558308684686351e+08 3.8478730708276123e+08 3.8409614065827620e+08 3.8347401518457466e+08 3.8287426850294805e+08 3.8244574315931600e+08 3.8201171446649450e+08 3.8156827687239653e+08 3.8110360395991570e+08 3.8062418112062663e+08 3.8011513406712455e+08 3.7959927957801586e+08 3.7902232386071932e+08 3.7840487813737285e+08 3.7773558556779057e+08 3.7700557803177184e+08 3.7620407901562744e+08 3.7531894870513314e+08 3.7433161181161076e+08 3.7324983340763897e+08 3.7202456678249848e+08 3.7065086175889611e+08 3.6910878983652830e+08 3.6737690438513511e+08 3.6543308872083163e+08 3.6325515843538320e+08 3.6081748663356251e+08 3.5812894475801587e+08 3.5513465505639172e+08 3.5184824164614040e+08 3.4827730561849213e+08 3.4444985441953140e+08 3.4041354047232413e+08 3.3625906466119993e+08 3.3212039203891110e+08 3.2822369955087346e+08 3.2483974986625135e+08 3.2240693238260835e+08 3.2153065269818950e+08 3.2309414397583908e+08 3.2837936987432456e+08 3.3932919668392676e+08 3.5901853367960244e+08 3.9263828553697801e+08 1.7572461544623992e+08 +5.6098699566522194e+00 4.0742369029918635e+08 4.0738721122522551e+08 4.0732612699952894e+08 4.0724889748791897e+08 4.0717793930543226e+08 4.0714622470464790e+08 4.0716761038985401e+08 4.0721774617950320e+08 4.0727300783789182e+08 4.0732987235904086e+08 4.0739255524992335e+08 4.0746270138891304e+08 4.0754117818578982e+08 4.0762953020580655e+08 4.0772980657701212e+08 4.0784420315916097e+08 4.0797544303053904e+08 4.0812693925834697e+08 4.0830274720141912e+08 4.0850754885217828e+08 4.0874679306321049e+08 4.0902675087932992e+08 4.0935483477578217e+08 4.0974344194184601e+08 4.1021307964545906e+08 4.1077630316981733e+08 4.1143946419634295e+08 4.1221508238326699e+08 4.1312027630101186e+08 4.1417475353877401e+08 4.1540053628609872e+08 4.1682190513778061e+08 4.1846525285192323e+08 4.2035876378281379e+08 4.2253185165803349e+08 4.2501418075495905e+08 4.2783426693523240e+08 4.3101742845157880e+08 4.3458305125453687e+08 4.3854087482905138e+08 4.4322512300539815e+08 4.4832543273474228e+08 4.5377519020678848e+08 4.5946330311188972e+08 4.6522652981370646e+08 4.7084578899203360e+08 4.7604969826413035e+08 4.8052854861946040e+08 4.8396115091690528e+08 4.8604939550965619e+08 4.8655702382259250e+08 4.8537147978380525e+08 4.8253129286450863e+08 4.7817374685528350e+08 4.7255056748128617e+08 4.6599410487393504e+08 4.5884855038129145e+08 4.5144077504423273e+08 4.4403989261344951e+08 4.3687190557996207e+08 4.3007674715114266e+08 4.2376527823306286e+08 4.1797693982425040e+08 4.1275525434617019e+08 4.0808939742815810e+08 4.0395963335721368e+08 4.0035407516784918e+08 3.9722835509027356e+08 3.9453340244480699e+08 3.9224037664204043e+08 3.9028956853627461e+08 3.8865498297265089e+08 3.8729229770143610e+08 3.8617233156933820e+08 3.8524289929847372e+08 3.8444755033056819e+08 3.8375685434299338e+08 3.8313521084520930e+08 3.8253596829905093e+08 3.8210781567343664e+08 3.8167416852766997e+08 3.8123112248775887e+08 3.8076686053182924e+08 3.8028786189052808e+08 3.7977926796648592e+08 3.7926386192963439e+08 3.7868741667161387e+08 3.7807051718041116e+08 3.7740181665100169e+08 3.7667245479788405e+08 3.7587166462905377e+08 3.7498731705665386e+08 3.7400085586207265e+08 3.7292002606638789e+08 3.7169584272554553e+08 3.7032335213998264e+08 3.6878264341716385e+08 3.6705228887663645e+08 3.6511019137596768e+08 3.6293418610896283e+08 3.6049867138429993e+08 3.5781249811697787e+08 3.5482085478553832e+08 3.5153734585862213e+08 3.4796956571066284e+08 3.4414549704001254e+08 3.4011275016306746e+08 3.3596194582111794e+08 3.3182693305045563e+08 3.2793367729163766e+08 3.2455271826518857e+08 3.2212205100436109e+08 3.2124654845675021e+08 3.2280865881582254e+08 3.2808921408689588e+08 3.3902936502089822e+08 3.5870130740447080e+08 3.9229134309746969e+08 1.7531591124781322e+08 +5.6148382794264773e+00 4.0801034208964878e+08 4.0797379972074121e+08 4.0791259710338974e+08 4.0783521391121495e+08 4.0776409498857021e+08 4.0773226223478687e+08 4.0775359731489956e+08 4.0780371025686580e+08 4.0785893465218967e+08 4.0791573561708802e+08 4.0797832978012419e+08 4.0804835887760305e+08 4.0812668465377557e+08 4.0821484585581815e+08 4.0831488532491100e+08 4.0842899127163047e+08 4.0855987762205225e+08 4.0871094670372111e+08 4.0888624119495910e+08 4.0909042813827753e+08 4.0932893868262637e+08 4.0960802268360442e+08 4.0993506332051057e+08 4.1032240758922297e+08 4.1079050678629631e+08 4.1135188533716011e+08 4.1201285980687338e+08 4.1278589536012602e+08 4.1368804245331377e+08 4.1473892839010745e+08 4.1596048151650494e+08 4.1737687299056184e+08 4.1901436820866412e+08 4.2090100370570970e+08 4.2306602231812990e+08 4.2553889167004901e+08 4.2834790287326187e+08 4.3151811963158923e+08 4.3506864325005054e+08 4.3900890034632260e+08 4.4367114031182599e+08 4.4874577553224373e+08 4.5416577381121814e+08 4.5981967872854710e+08 4.6554399908803761e+08 4.7111959604056114e+08 4.7627530949539942e+08 4.8070201457450581e+08 4.8407951876596212e+08 4.8611111196634269e+08 4.8656225484372234e+08 4.8532220960881436e+08 4.8243118473001420e+08 4.7802785310834682e+08 4.7236480523032326e+08 4.6577468693999642e+08 4.5860149309127676e+08 4.5117153295025128e+08 4.4375317020352906e+08 4.3657157288928056e+08 4.2976592099040556e+08 4.2344638556199473e+08 4.1765187919065148e+08 4.1242545862734801e+08 4.0775598084485418e+08 4.0362346471105474e+08 4.0001581423837978e+08 3.9688854495518494e+08 3.9419249598214936e+08 3.9189873624660641e+08 3.8994752765055788e+08 3.8831279733696055e+08 3.8695018372251207e+08 3.8583044369631279e+08 3.8490135202315384e+08 3.8410643796508706e+08 3.8341621552344936e+08 3.8279505651712829e+08 3.8219632034182972e+08 3.8176854197134888e+08 3.8133527790995359e+08 3.8089262498661709e+08 3.8042877562086290e+08 3.7995020286235428e+08 3.7944206384424514e+08 3.7892710810988605e+08 3.7835117533877194e+08 3.7773482425004148e+08 3.7706671811358792e+08 3.7633800451000565e+08 3.7553792600662053e+08 3.7465436428463417e+08 3.7366878224924499e+08 3.7258890490355712e+08 3.7136580915726984e+08 3.6999453784201533e+08 3.6845519774360460e+08 3.6672638020730644e+08 3.6478600770948350e+08 3.6261193512407035e+08 3.6017858604295993e+08 3.5749479087998497e+08 3.5450580445590508e+08 3.5122521157692957e+08 3.4766059987568521e+08 3.4383992720344573e+08 3.3981076160169286e+08 3.3566364334990084e+08 3.3153230498507375e+08 3.2764249970173353e+08 3.2426454324217767e+08 3.2183603476519549e+08 3.2096131242564672e+08 3.2252203635954607e+08 3.2779790240211165e+08 3.3872833892002624e+08 3.5838281737121534e+08 3.9194301860449773e+08 1.7490776197646382e+08 +5.6198066022007351e+00 4.0859336663319218e+08 4.0855675148781359e+08 4.0849543761087579e+08 4.0841790148521811e+08 4.0834662253371173e+08 4.0831467217169338e+08 4.0833595648217118e+08 4.0838604618382424e+08 4.0844123282179976e+08 4.0849796975019592e+08 4.0856047467527682e+08 4.0863038617121881e+08 4.0870856031050813e+08 4.0879653001851827e+08 4.0889633182744503e+08 4.0901014629070830e+08 4.0914067815973568e+08 4.0929131900194174e+08 4.0946609878337991e+08 4.0966966956702560e+08 4.0990744476010144e+08 4.1018565298730218e+08 4.1051164808597940e+08 4.1089772678093272e+08 4.1136428425335842e+08 4.1192381398168379e+08 4.1258259738738048e+08 4.1335304507423061e+08 4.1425213928771287e+08 4.1529942694009095e+08 4.1651674242300206e+08 4.1792814734739381e+08 4.1955977964547539e+08 4.2143952794575536e+08 4.2359646413913560e+08 4.2605985919206601e+08 4.2885777953896785e+08 4.3201503452214944e+08 4.3555044114699894e+08 4.3947311372449344e+08 4.4411332680754662e+08 4.4916227106706172e+08 4.5455249800620008e+08 4.6017218983264065e+08 4.6585760919107920e+08 4.7138956365543503e+08 4.7649711963853484e+08 4.8087174035872167e+08 4.8419423293323195e+08 4.8616928807220525e+08 4.8656408453804767e+08 4.8526969900319493e+08 4.8232801273712707e+08 4.7787908007808501e+08 4.7217634839462900e+08 4.6555275222569066e+08 4.5835208468836725e+08 4.5090009004775906e+08 4.4346438058000904e+08 4.3626928994283134e+08 4.2945324589831901e+08 4.2312573110300308e+08 4.1732513135152960e+08 4.1209403926863366e+08 4.0742099459749973e+08 4.0328577202396923e+08 3.9967606759425610e+08 3.9654728103481376e+08 3.9385016208448476e+08 3.9155568985553652e+08 3.8960409791614050e+08 3.8796923628872246e+08 3.8660670459950119e+08 3.8548719830894953e+08 3.8455845282688367e+08 3.8376397777324831e+08 3.8307423197104692e+08 3.8245355995880646e+08 3.8185533237713414e+08 3.8142792979013652e+08 3.8099505034150434e+08 3.8055279208806384e+08 3.8008935693710351e+08 3.7961121173653924e+08 3.7910352938997710e+08 3.7858902579830784e+08 3.7801360752996892e+08 3.7739780700190657e+08 3.7673029759731036e+08 3.7600223479473639e+08 3.7520287075911367e+08 3.7432009798267078e+08 3.7333539854610729e+08 3.7225647747031808e+08 3.7103447360339111e+08 3.6966442636329257e+08 3.6812646028352064e+08 3.6639918580952483e+08 3.6446054511448437e+08 3.6228841283019787e+08 3.5985723790882307e+08 3.5717583029204005e+08 3.5418951125170124e+08 3.5091184591954315e+08 3.4735041515997124e+08 3.4353315187796593e+08 3.3950758167476463e+08 3.3536416405023819e+08 3.3123651456197453e+08 3.2735017342177689e+08 3.2397523136919099e+08 3.2154889018750107e+08 3.2067495110922152e+08 3.2223428314348024e+08 3.2750544146312129e+08 3.3842612524622524e+08 3.5806307084357971e+08 3.9159332000092757e+08 1.7450016883164087e+08 +5.6247749249749930e+00 4.0917276082177001e+08 4.0913607644562769e+08 4.0907465198155308e+08 4.0899696253509349e+08 4.0892552365298480e+08 4.0889345623991191e+08 4.0891468964607227e+08 4.0896475571866351e+08 4.0901990410758013e+08 4.0907657652084297e+08 4.0913899170207047e+08 4.0920878503869992e+08 4.0928680692956734e+08 4.0937458447211123e+08 4.0947414786881548e+08 4.0958767000730878e+08 4.0971784644369912e+08 4.0986805796250790e+08 4.1004232178776795e+08 4.1024527497304255e+08 4.1048231314609390e+08 4.1075964366089332e+08 4.1108459096500713e+08 4.1146940143785930e+08 4.1193441400061631e+08 4.1249209109713125e+08 4.1314867897883362e+08 4.1391653362182879e+08 4.1481256896550506e+08 4.1585625142599708e+08 4.1706932133253610e+08 4.1847573064100772e+08 4.2010148971703953e+08 4.2197433920149499e+08 4.2412317998502517e+08 4.2657708637843388e+08 4.2936390021458030e+08 4.3250817666525412e+08 4.3602844878507078e+08 4.3993351914479804e+08 4.4455168709252143e+08 4.4957492441670263e+08 4.5493536840543658e+08 4.6052084263275164e+08 4.6616736697865784e+08 4.7165569938020492e+08 4.7671513694557214e+08 4.8103773492311007e+08 4.8430530303010672e+08 4.8622393401919323e+08 4.8656252356559491e+08 4.8521395895556158e+08 4.8222178805102193e+08 4.7772743896089458e+08 4.7198520807199836e+08 4.6532831163212329e+08 4.5810033580994946e+08 4.5062645667537171e+08 4.4317353377220243e+08 4.3596506646805608e+08 4.2913873131775361e+08 4.2280332403964174e+08 4.1699670525928694e+08 4.1176100501898563e+08 4.0708444725551862e+08 4.0294656371097893e+08 3.9933484352033097e+08 3.9620457150245261e+08 3.9350640883178085e+08 3.9121124547261119e+08 3.8925928727221781e+08 3.8762430771677715e+08 3.8626186818125081e+08 3.8514260322554410e+08 3.8421420950323492e+08 3.8342017753020060e+08 3.8273091144542110e+08 3.8211072891631842e+08 3.8151301213865602e+08 3.8108598685500878e+08 3.8065349353866750e+08 3.8021163149957192e+08 3.7974861217819893e+08 3.7927089620117408e+08 3.7876367228196496e+08 3.7824962266198885e+08 3.7767472090097213e+08 3.7705947307857853e+08 3.7639256273200852e+08 3.7566515326789951e+08 3.7486650648563206e+08 3.7398452573143905e+08 3.7300071231393176e+08 3.7192275130621380e+08 3.7070184357893366e+08 3.6933302519044304e+08 3.6779643849191850e+08 3.6607071310374838e+08 3.6413381097221500e+08 3.6196362656442678e+08 3.5953463426992393e+08 3.5685562358704334e+08 3.5387198234611076e+08 3.5059725599337995e+08 3.4703901859774107e+08 3.4322517802134508e+08 3.3920321725858653e+08 3.3506351471445531e+08 3.3093956848972410e+08 3.2705670508116710e+08 3.2368478920745921e+08 3.2126062378332812e+08 3.2038747100204533e+08 3.2194540569393879e+08 3.2721183790326434e+08 3.3812273085316038e+08 3.5774207507271665e+08 3.9124225521748406e+08 1.7409313300018117e+08 +5.6297432477492508e+00 4.0974852893299216e+08 4.0971177675726819e+08 4.0965023734186262e+08 4.0957239843159056e+08 4.0950080022855824e+08 4.0946861624039829e+08 4.0948979862537581e+08 4.0953984067463189e+08 4.0959495032527351e+08 4.0965155774648970e+08 4.0971388268070012e+08 4.0978355730306733e+08 4.0986142633915150e+08 4.0994901104932636e+08 4.1004833528806627e+08 4.1016156426774174e+08 4.1029138432793981e+08 4.1044116544895798e+08 4.1061491208412850e+08 4.1081724624546182e+08 4.1105354574675304e+08 4.1132999662912327e+08 4.1165389390530705e+08 4.1203743353445375e+08 4.1250089803587449e+08 4.1305671873097932e+08 4.1371110667553878e+08 4.1447636315211326e+08 4.1536933370117784e+08 4.1640940413921958e+08 4.1761822062612945e+08 4.1901962535596561e+08 4.2063950103169024e+08 4.2250544022298002e+08 4.2464617277419209e+08 4.2709057634022158e+08 4.2986626823506927e+08 4.3299754965421855e+08 4.3650267005548763e+08 4.4039012083838308e+08 4.4498622581609255e+08 4.4998374070505959e+08 4.5531439066850179e+08 4.6086564338098365e+08 4.6647327934688783e+08 4.7191801079463524e+08 4.7692936970016861e+08 4.8120000724832994e+08 4.8441273869162619e+08 4.8627506001870090e+08 4.8655758260051996e+08 4.8515500046247745e+08 4.8211252184113067e+08 4.7757294095117176e+08 4.7179139535624123e+08 4.6510137605243182e+08 4.5784625708558625e+08 4.5035064316288733e+08 4.4288063979917479e+08 4.3565891218055308e+08 4.2882238668075067e+08 4.2247917354510319e+08 4.1666660985373181e+08 4.1142636461357778e+08 4.0674634737640041e+08 4.0260584817590439e+08 3.9899215028890073e+08 3.9586042451896060e+08 3.9316124429169303e+08 3.9086541108808428e+08 3.8891310364718509e+08 3.8727801949834114e+08 3.8591568230494857e+08 3.8479666625238562e+08 3.8386862983441645e+08 3.8307504499859327e+08 3.8238626169350880e+08 3.8176657112349927e+08 3.8116936734806365e+08 3.8074272087808400e+08 3.8031061520523417e+08 3.7986915091564786e+08 3.7940654903022838e+08 3.7892926393228918e+08 3.7842250018561924e+08 3.7790890635643959e+08 3.7733452309577763e+08 3.7671983011221796e+08 3.7605352113570780e+08 3.7532676753192163e+08 3.7452884077286494e+08 3.7364765509987450e+08 3.7266473110153431e+08 3.7158773393778318e+08 3.7036792658589411e+08 3.6900034179886860e+08 3.6746513981309491e+08 3.6574096949881637e+08 3.6380581265233326e+08 3.6163758365262407e+08 3.5921078240330571e+08 3.5653417798739034e+08 3.5355322490161633e+08 3.5028144889423102e+08 3.4672641721268421e+08 3.4291601257979298e+08 3.3889767521800733e+08 3.3476170212333852e+08 3.3064147346602094e+08 3.2676210129916942e+08 3.2339322330794770e+08 3.2097124205481845e+08 3.2009887858891457e+08 3.2165541052636218e+08 3.2691709834454912e+08 3.3781816258452308e+08 3.5741983729939634e+08 3.9088983217301434e+08 1.7368665565635970e+08 +5.6347115705235087e+00 4.1032066858416170e+08 4.1028385103386736e+08 4.1022219918192506e+08 4.1014421085651547e+08 4.1007245424283504e+08 4.1004015405498856e+08 4.1006128530032647e+08 4.1011130291856873e+08 4.1016637334476018e+08 4.1022291529921860e+08 4.1028514948609561e+08 4.1035470484263712e+08 4.1043242042153430e+08 4.1051981163731623e+08 4.1061889597820503e+08 4.1073183097174865e+08 4.1086129372090685e+08 4.1101064338043100e+08 4.1118387160187012e+08 4.1138558532830143e+08 4.1162114452187085e+08 4.1189671387116033e+08 4.1221955890846491e+08 4.1260182510001498e+08 4.1306373842109716e+08 4.1361769898555297e+08 4.1426988262663496e+08 4.1503253586989278e+08 4.1592243576388180e+08 4.1695888742496288e+08 4.1816344273805696e+08 4.1955983403170663e+08 4.2117381624977845e+08 4.2303283381477851e+08 4.2516544547581393e+08 4.2760033224047405e+08 4.3036488698675781e+08 4.3348315713307798e+08 4.3697310889888394e+08 4.4084292308521205e+08 4.4541694767540008e+08 4.5038872510386074e+08 4.5568957049939233e+08 4.6120659837125713e+08 4.6677535323282158e+08 4.7217650551692402e+08 4.7713982621987212e+08 4.8135856634491569e+08 4.8451654957778639e+08 4.8632267630112386e+08 4.8654927233005297e+08 4.8509283452995789e+08 4.8200022528009140e+08 4.7741559724433172e+08 4.7159492133720416e+08 4.6487195637582964e+08 4.5758985913624799e+08 4.5007265982896215e+08 4.4258570866910893e+08 4.3535083678548670e+08 4.2850422140738082e+08 4.2215328877910227e+08 4.1633485406348360e+08 4.1109012677559650e+08 4.0640670350475919e+08 4.0226363380875301e+08 3.9864799615876138e+08 3.9551484823231500e+08 3.9281467651904285e+08 3.9051819468030429e+08 3.8856555495569021e+08 3.8693037949837112e+08 3.8556815479459739e+08 3.8444939518206108e+08 3.8352172158952153e+08 3.8272858792864692e+08 3.8204029045040834e+08 3.8142109430189371e+08 3.8082440571394539e+08 3.8039813956030315e+08 3.7996642303312087e+08 3.7952535801942396e+08 3.7906317516596788e+08 3.7858632259361863e+08 3.7808002075499612e+08 3.7756688452464825e+08 3.7699302174538755e+08 3.7637888572108972e+08 3.7571318041355419e+08 3.7498708517801434e+08 3.7418988119570583e+08 3.7330949364517540e+08 3.7232746244626927e+08 3.7125143288071829e+08 3.7003273011512190e+08 3.6866638365071732e+08 3.6713257167860472e+08 3.6540996239169484e+08 3.6347655751310229e+08 3.6131029140862209e+08 3.5888568957357657e+08 3.5621150070376539e+08 3.5323324606816334e+08 3.4996443170603293e+08 3.4641261801776105e+08 3.4260566248871756e+08 3.3859096240716898e+08 3.3445873304769260e+08 3.3034223617821783e+08 3.2646636868436569e+08 3.2310054021138531e+08 3.2068075149359667e+08 3.1980918034311569e+08 3.2136430414671564e+08 3.2662122939888257e+08 3.3751242727221924e+08 3.5709636475188506e+08 3.9053605877241844e+08 1.7328073796193966e+08 +5.6396798932977665e+00 4.1088918701132125e+08 4.1085230392579210e+08 4.1079053962548238e+08 4.1071240225689566e+08 4.1064048769620138e+08 4.1060807163885278e+08 4.1062915160826099e+08 4.1067914437142134e+08 4.1073417508915943e+08 4.1079065110401398e+08 4.1085279404752916e+08 4.1092222958941573e+08 4.1099979111360532e+08 4.1108698817750084e+08 4.1118583188710630e+08 4.1129847207469165e+08 4.1142757658551544e+08 4.1157649372811288e+08 4.1174920232504082e+08 4.1195029421874332e+08 4.1218511148529005e+08 4.1245979741965342e+08 4.1278158803063893e+08 4.1316257821706378e+08 4.1362293727281439e+08 4.1417503401563358e+08 4.1482500903442907e+08 4.1558505403267920e+08 4.1647187747664839e+08 4.1750470368156886e+08 4.1870499015601766e+08 4.2009635926035434e+08 4.2170443808611786e+08 4.2355652283239019e+08 4.2568100111205506e+08 4.2810635729354078e+08 4.3085975990683061e+08 4.3396500279723299e+08 4.3743976930659729e+08 4.4129193021576256e+08 4.4584385741552776e+08 4.5078988283084911e+08 4.5606091364747322e+08 4.6154371394207090e+08 4.6707359561296093e+08 4.7243119120127839e+08 4.7734651485607165e+08 4.8151342125063568e+08 4.8461674537223130e+08 4.8636679311599702e+08 4.8653760345594287e+08 4.8502747217210346e+08 4.8188490954541177e+08 4.7725541903439319e+08 4.7139579710120666e+08 4.6464006348288369e+08 4.5733115257393146e+08 4.4979251698386282e+08 4.4228875037892753e+08 4.3504084997499102e+08 4.2818424490500045e+08 4.2182567888951224e+08 4.1600144680280393e+08 4.1075230021547413e+08 4.0606552417238873e+08 4.0191992898850250e+08 3.9830238937664628e+08 3.9516785077871025e+08 3.9246671355678314e+08 3.9016960421458250e+08 3.8821664910019135e+08 3.8658139556768948e+08 3.8521929346209538e+08 3.8410079779581231e+08 3.8317349252507222e+08 3.8238081405792409e+08 3.8169300543811399e+08 3.8107430616015148e+08 3.8047813493373489e+08 3.8005225058974773e+08 3.7962092470160776e+08 3.7918026048115432e+08 3.7871849824717152e+08 3.7824207983660150e+08 3.7773624163098323e+08 3.7722356479749745e+08 3.7665022446919113e+08 3.7603664751208669e+08 3.7537154815901989e+08 3.7464611378437394e+08 3.7384963531658584e+08 3.7297004891177249e+08 3.7198891387305707e+08 3.7091385563812649e+08 3.6969626164521039e+08 3.6833115819739962e+08 3.6679874150838733e+08 3.6507769916769344e+08 3.6314605289958316e+08 3.6098175713483405e+08 3.5855936303390765e+08 3.5588759893532652e+08 3.5291205298491681e+08 3.4964621150230670e+08 3.4609762801319104e+08 3.4229413467247480e+08 3.3828308566914654e+08 3.3415461424691606e+08 3.3004186330240494e+08 3.2616951383489883e+08 3.2280674644731164e+08 3.2038915858042449e+08 3.1951838272850949e+08 3.2107209304948497e+08 3.2632423766758132e+08 3.3720553173789334e+08 3.5677166464776415e+08 3.9018094290883285e+08 1.7287538106622171e+08 +5.6446482160720244e+00 4.1145408547963101e+08 4.1141713486951631e+08 4.1135526210069948e+08 4.1127697391493225e+08 4.1120490259740460e+08 4.1117237100644314e+08 4.1119339953905267e+08 4.1124336700719726e+08 4.1129835753625566e+08 4.1135476714188576e+08 4.1141681834788096e+08 4.1148613352913284e+08 4.1156354040499544e+08 4.1165054266527569e+08 4.1174914501515329e+08 4.1186148958351630e+08 4.1199023493835366e+08 4.1213871851904172e+08 4.1231090629190719e+08 4.1251137496852040e+08 4.1274544870440888e+08 4.1301924936169922e+08 4.1333998338071781e+08 4.1371969502265912e+08 4.1417849675980210e+08 4.1472872603124321e+08 4.1537648815476161e+08 4.1613391995118147e+08 4.1701766121421796e+08 4.1804685536108851e+08 4.1924286542063940e+08 4.2062920368666315e+08 4.2223136930712938e+08 4.2407651018489933e+08 4.2619284275725162e+08 4.2860865476494157e+08 4.3135089048438776e+08 4.3444309039215487e+08 4.3790265531935614e+08 4.4173714660834539e+08 4.4626695983006930e+08 4.5118721915051025e+08 4.5642842590583795e+08 4.6187699647258347e+08 4.6736801350342810e+08 4.7268207553800046e+08 4.7754944399224150e+08 4.8166458103217363e+08 4.8471333578171366e+08 4.8640742073120856e+08 4.8652258669160384e+08 4.8495892441085619e+08 4.8176658581707984e+08 4.7709241751522547e+08 4.7119403372987872e+08 4.6440570824789494e+08 4.5707014800227070e+08 4.4951022492605412e+08 4.4198977491357142e+08 4.3472896143021554e+08 4.2786246656895918e+08 4.2149635301179934e+08 4.1566639697529793e+08 4.1041289363133603e+08 4.0572281789910132e+08 4.0157474208006358e+08 3.9795533817701912e+08 3.9481944028051424e+08 3.9211736343423766e+08 3.8981964764358503e+08 3.8786639397103292e+08 3.8623107554649341e+08 3.8486910610714197e+08 3.8375088186152399e+08 3.8282395038555574e+08 3.8203173111171222e+08 3.8134441436618137e+08 3.8072621439531630e+08 3.8013056269113660e+08 3.7970506164152479e+08 3.7927412787691748e+08 3.7883386595882046e+08 3.7837252592169803e+08 3.7789654330007482e+08 3.7739117044213474e+08 3.7687895479315561e+08 3.7630613887374061e+08 3.7569312307976031e+08 3.7502863195280975e+08 3.7430386091792196e+08 3.7350811068547654e+08 3.7262932843227279e+08 3.7164909289447296e+08 3.7057500970065898e+08 3.6935852864237642e+08 3.6799467287756389e+08 3.6646365671025532e+08 3.6474418719965643e+08 3.6281430614668399e+08 3.6065198812139541e+08 3.5823181002601701e+08 3.5556247986938912e+08 3.5258965277899301e+08 3.4932679534376216e+08 3.4578145418948174e+08 3.4198143604395795e+08 3.3797405183591700e+08 3.3384935246982288e+08 3.2974036150427943e+08 3.2587154333804023e+08 3.2251184853546482e+08 3.2009646978601271e+08 3.1922649219807357e+08 3.2077878371921372e+08 3.2602612974095052e+08 3.3689748279153943e+08 3.5644574419230843e+08 3.8982449246215641e+08 1.7247058610609451e+08 +5.6496165388462822e+00 4.1201536254193366e+08 4.1197834974037153e+08 4.1191636399372900e+08 4.1183792778227150e+08 4.1176570100632364e+08 4.1173305421437114e+08 4.1175403113049740e+08 4.1180397285353309e+08 4.1185892271653181e+08 4.1191526544519937e+08 4.1197722442291945e+08 4.1204641870144492e+08 4.1212367034030992e+08 4.1221047714888591e+08 4.1230883741762757e+08 4.1242088556044519e+08 4.1254927084901780e+08 4.1269731983278769e+08 4.1286898559364331e+08 4.1306882968263674e+08 4.1330215830069846e+08 4.1357507183740950e+08 4.1389474712194496e+08 4.1427317770670658e+08 4.1473041910531807e+08 4.1527877729438311e+08 4.1592432229689777e+08 4.1667913598978382e+08 4.1755978940597862e+08 4.1858534496732253e+08 4.1977707112507987e+08 4.2115837000777179e+08 4.2275461273111695e+08 4.2459279883305991e+08 4.2670097353686351e+08 4.2910722797317946e+08 4.3183828225891072e+08 4.3491742371362621e+08 4.3836177102789974e+08 4.4217857669062638e+08 4.4668625975897771e+08 4.5158073937266052e+08 4.5679211311294699e+08 4.6220645238503742e+08 4.6765861395965481e+08 4.7292916625434095e+08 4.7774862204295307e+08 4.8181205478466547e+08 4.8480633053698272e+08 4.8644456943170655e+08 4.8650423276571178e+08 4.8488720227597183e+08 4.8164526527808160e+08 4.7692660387962729e+08 4.7098964230136991e+08 4.6416890153905439e+08 4.5680685601571000e+08 4.4922579394406605e+08 4.4168879224845827e+08 4.3441518081980693e+08 4.2753889578211713e+08 4.2116532026777422e+08 4.1532971347003603e+08 4.1007191570759898e+08 4.0537859319128972e+08 4.0122808143591565e+08 3.9760685078063291e+08 3.9446962484786749e+08 3.9176663416838712e+08 3.8946833290757215e+08 3.8751479744456649e+08 3.8587942726073575e+08 3.8451760051544315e+08 3.8339965513463563e+08 3.8247310290194714e+08 3.8168134680242008e+08 3.8099452493210959e+08 3.8037682669105726e+08 3.7978169665779573e+08 3.7935658037896329e+08 3.7892604021388054e+08 3.7848618209765863e+08 3.7802526582608610e+08 3.7754972061058110e+08 3.7704481480514753e+08 3.7653306211764187e+08 3.7596077255399823e+08 3.7534832000621986e+08 3.7468443936395961e+08 3.7396033413215983e+08 3.7316531484050107e+08 3.7228733972697204e+08 3.7130800701078725e+08 3.7023490254720575e+08 3.6901953856063902e+08 3.6765693511760944e+08 3.6612732467988932e+08 3.6440943384854865e+08 3.6248132457647735e+08 3.6032099164700413e+08 3.5790303777932060e+08 3.5523615068192071e+08 3.5226605256693226e+08 3.4900619028095055e+08 3.4546410352467543e+08 3.4166757350451088e+08 3.3766386772818011e+08 3.3354295445374709e+08 3.2943773743875164e+08 3.2557246376988482e+08 3.2221585298420644e+08 3.1980269157035893e+08 3.1893351519408149e+08 3.2048438262953091e+08 3.2572691219857371e+08 3.3658828723194504e+08 3.5611861057896125e+08 3.8946671529966867e+08 1.7206635420608443e+08 +5.6545848616205401e+00 4.1257302532115120e+08 4.1253594582191253e+08 4.1247384984706849e+08 4.1239526703715467e+08 4.1232288500561172e+08 4.1229012335113621e+08 4.1231104846575993e+08 4.1236096399042189e+08 4.1241587271423936e+08 4.1247214810128456e+08 4.1253401436294794e+08 4.1260308719879979e+08 4.1268018301658207e+08 4.1276679373044014e+08 4.1286491120217144e+08 4.1297666212037349e+08 4.1310468644113219e+08 4.1325229980195916e+08 4.1342344237430704e+08 4.1362266051907903e+08 4.1385524244830191e+08 4.1412726704015714e+08 4.1444588146937907e+08 4.1482302851171303e+08 4.1527870658547342e+08 4.1582519012016040e+08 4.1646851382245767e+08 4.1722070456493604e+08 4.1809826453274864e+08 4.1912017505765635e+08 4.2030760991532433e+08 4.2168386097333807e+08 4.2327417122959989e+08 4.2510539178895211e+08 4.2720539662791806e+08 4.2960208028605622e+08 4.3232193882021296e+08 4.3538800660747790e+08 4.3881712057139146e+08 4.4261622493733126e+08 4.4710176209004432e+08 4.5197044885320288e+08 4.5715198114992017e+08 4.6253208814169663e+08 4.6794540407597703e+08 4.7317247111221451e+08 4.7794405745640343e+08 4.8195585163022423e+08 4.8489573939046270e+08 4.8647824952168721e+08 4.8648255241673172e+08 4.8481231680512786e+08 4.8152095911492813e+08 4.7675798931924474e+08 4.7078263388829416e+08 4.6392965421596187e+08 4.5654128719952810e+08 4.4893923431645691e+08 4.4138581234543169e+08 4.3409951780001229e+08 4.2721354191488159e+08 4.2083258976836163e+08 4.1499140516428381e+08 4.0972937511637586e+08 4.0503285854204106e+08 4.0087995539565545e+08 3.9725693539597255e+08 3.9411841257806045e+08 3.9141453376339895e+08 3.8911566793385029e+08 3.8716186738563669e+08 3.8552645852444786e+08 3.8416478446139342e+08 3.8304712535868496e+08 3.8212095779344684e+08 3.8132966883037370e+08 3.8064334482039481e+08 3.8002615071844167e+08 3.7943154449306446e+08 3.7900681445218945e+08 3.7857666935428673e+08 3.7813721653059530e+08 3.7767672558356827e+08 3.7720161938193339e+08 3.7669718232357359e+08 3.7618589436432058e+08 3.7561413309109604e+08 3.7500224586039305e+08 3.7433897794820642e+08 3.7361554096867353e+08 3.7282125530710858e+08 3.7194409030302042e+08 3.7096566371038157e+08 3.6989354164390296e+08 3.6867929884189361e+08 3.6731795233187503e+08 3.6578975280078983e+08 3.6407344646354866e+08 3.6214711549837428e+08 3.5998877497789097e+08 3.5757305351184714e+08 3.5490861853628463e+08 3.5194125945160383e+08 3.4868440335128367e+08 3.4514558298568422e+08 3.4135255394495314e+08 3.3735254015543228e+08 3.3323542692484242e+08 3.2913399774872869e+08 3.2527228169652718e+08 3.2191876629178858e+08 3.1950783038264257e+08 3.1863945814814365e+08 3.2018889624360901e+08 3.2542659160940325e+08 3.3627795184738815e+08 3.5579027098920715e+08 3.8910761927518290e+08 1.7166268647840476e+08 +5.6595531843947979e+00 4.1312707010218853e+08 4.1308992823892301e+08 4.1302772401263434e+08 4.1294899368629491e+08 4.1287645663269871e+08 4.1284358053572047e+08 4.1286445367275190e+08 4.1291434255151629e+08 4.1296920966563380e+08 4.1302541724922812e+08 4.1308719031006241e+08 4.1315614116716993e+08 4.1323308058416277e+08 4.1331949456521159e+08 4.1341736852958941e+08 4.1352882143135113e+08 4.1365648389063621e+08 4.1380366061290163e+08 4.1397427883211732e+08 4.1417286968892169e+08 4.1440470337401646e+08 4.1467583721537018e+08 4.1499338869258571e+08 4.1536924973357230e+08 4.1582336152804732e+08 4.1636796687665200e+08 4.1700906514664984e+08 4.1775862814609540e+08 4.1863308912841159e+08 4.1965134824167198e+08 4.2083448448892778e+08 4.2220567938489902e+08 4.2379004772493815e+08 4.2561429211690527e+08 4.2770611525915551e+08 4.3009321512292016e+08 4.3280186380893266e+08 4.3585484296888793e+08 4.3926870813869107e+08 4.4305009587285584e+08 4.4751347175765210e+08 4.5235635299334520e+08 4.5750803594249135e+08 4.6285391024791515e+08 4.6822839098567408e+08 4.7341199790958416e+08 4.7813575871189922e+08 4.8209598071830297e+08 4.8498157211796403e+08 4.8650847132162309e+08 4.8645755639715165e+08 4.8473427904312319e+08 4.8139367851675659e+08 4.7658658502368861e+08 4.7057301955943984e+08 4.6368797713194370e+08 4.5627345212960064e+08 4.4865055631059647e+08 4.4108084515604275e+08 4.3378198201589411e+08 4.2688641432535005e+08 4.2049817060966420e+08 4.1465148092183268e+08 4.0938528051627392e+08 4.0468562243182528e+08 4.0053037228607535e+08 3.9690560021774441e+08 3.9376581155497384e+08 3.9106107021051323e+08 3.8876166063590753e+08 3.8680761164480925e+08 3.8517217713810396e+08 3.8381066570564002e+08 3.8269330026245898e+08 3.8176752276574153e+08 3.8097670488150173e+08 3.8029088170240974e+08 3.7967419413645685e+08 3.7908011384244072e+08 3.7865577149860048e+08 3.7822602292615080e+08 3.7778697687739414e+08 3.7732691280484211e+08 3.7685224721521157e+08 3.7634828058809459e+08 3.7583745911334753e+08 3.7526622805415666e+08 3.7465490819934595e+08 3.7399225524882436e+08 3.7326948895642662e+08 3.7247593959792268e+08 3.7159958765615839e+08 3.7062207046830326e+08 3.6955093444462687e+08 3.6833781691536385e+08 3.6697773192267030e+08 3.6545094844443911e+08 3.6373623238068539e+08 3.6181168621033305e+08 3.5965534536838794e+08 3.5724186442896813e+08 3.5457989058473217e+08 3.5161528052561992e+08 3.4836144158165997e+08 3.4482589952741981e+08 3.4103638424330676e+08 3.3704007591573894e+08 3.3292677659881258e+08 3.2882914906774312e+08 3.2497100367242634e+08 3.2162059494519180e+08 3.1921189266146135e+08 3.1834432748167086e+08 3.1989233101368803e+08 3.2512517453097171e+08 3.3596648341399980e+08 3.5546073259346217e+08 3.8874721222989690e+08 1.7125958402300599e+08 +5.6645215071690558e+00 4.1367750149880183e+08 4.1364029468599105e+08 4.1357798371794409e+08 4.1349910923768544e+08 4.1342641793137032e+08 4.1339342792172343e+08 4.1341424892645508e+08 4.1346411072232753e+08 4.1351893576115054e+08 4.1357507508231789e+08 4.1363675445914942e+08 4.1370558280506676e+08 4.1378236524582654e+08 4.1386858186019248e+08 4.1396621161400479e+08 4.1407736571401918e+08 4.1420466542691320e+08 4.1435140450392634e+08 4.1452149721654701e+08 4.1471945945594949e+08 4.1495054335781705e+08 4.1522078466317254e+08 4.1553727111263102e+08 4.1591184372107774e+08 4.1636438631495261e+08 4.1690710998415500e+08 4.1754597873564541e+08 4.1829290925491267e+08 4.1916426577889341e+08 4.2017886718000913e+08 4.2135769759567791e+08 4.2272382809517145e+08 4.2430224519080883e+08 4.2611950293102646e+08 4.2820313270895487e+08 4.3058063595346379e+08 4.3327806091504574e+08 4.3631793674270475e+08 4.3971653796648616e+08 4.4348019406812155e+08 4.4792139374277049e+08 4.5273845723901916e+08 4.5786028345836687e+08 4.6317192524922782e+08 4.6850758185960513e+08 4.7364775447979873e+08 4.7832373431970328e+08 4.8223245122570503e+08 4.8506383851699698e+08 4.8653524516964900e+08 4.8642925547100013e+08 4.8465310004138404e+08 4.8126343467412245e+08 4.7641240218173712e+08 4.7036081037801933e+08 4.6344388113201976e+08 4.5600336137231195e+08 4.4835977018247855e+08 4.4077390061942512e+08 4.3346258309963441e+08 4.2655752235787719e+08 4.2016207187588525e+08 4.1430994959378940e+08 4.0903964055386776e+08 4.0433689332827973e+08 4.0017934042004251e+08 3.9655285342824990e+08 3.9341182984985083e+08 3.9070625148737562e+08 3.8840631891525549e+08 3.8645203806098711e+08 3.8481659088965476e+08 3.8345525199606305e+08 3.8233818756362087e+08 3.8141280551194632e+08 3.8062246263103759e+08 3.7993714323683363e+08 3.7932096459017956e+08 3.7872741233983439e+08 3.7830345914310598e+08 3.7787410854622698e+08 3.7743547074542302e+08 3.7697583508789349e+08 3.7650161169888830e+08 3.7599811717760533e+08 3.7548776393327934e+08 3.7491706499994200e+08 3.7430631456740302e+08 3.7364427879718256e+08 3.7292218561143833e+08 3.7212937521375805e+08 3.7125383926892930e+08 3.7027723474800050e+08 3.6920708839091974e+08 3.6799510019827461e+08 3.6663628127910846e+08 3.6511091896896917e+08 3.6339779892488408e+08 3.6147504399812901e+08 3.5932071006081915e+08 3.5690947772411811e+08 3.5424997396727735e+08 3.5128812286928362e+08 3.4803731198686332e+08 3.4450506009332979e+08 3.4071907126733619e+08 3.3672648179584247e+08 3.3261701017919385e+08 3.2852319801632684e+08 3.2466863624118060e+08 3.2132134542050815e+08 3.1891488483435839e+08 3.1804812960495728e+08 3.1959469338124621e+08 3.2482266751050645e+08 3.3565388869688898e+08 3.5513000254873669e+08 3.8838550199154562e+08 1.7085704792762506e+08 +5.6694898299433136e+00 4.1422432651611435e+08 4.1418705368984073e+08 4.1412463593936020e+08 4.1404561555210429e+08 4.1397277109600723e+08 4.1393966770946348e+08 4.1396043645010155e+08 4.1401027074101621e+08 4.1406505324256319e+08 4.1412112384532696e+08 4.1418270905810678e+08 4.1425141436384493e+08 4.1432803925715369e+08 4.1441405787622160e+08 4.1451144272113401e+08 4.1462229724125826e+08 4.1474923333049428e+08 4.1489553376600492e+08 4.1506509983005071e+08 4.1526243213604832e+08 4.1549276473238134e+08 4.1576211173353624e+08 4.1607753110314125e+08 4.1645081287437183e+08 4.1690178337895882e+08 4.1744262191582578e+08 4.1807925710847294e+08 4.1882355046501803e+08 4.1969179712193352e+08 4.2070273458581477e+08 4.2187725203654444e+08 4.2323831000902504e+08 4.2481076665275657e+08 4.2662102739814276e+08 4.2869645230733788e+08 4.3106434629737353e+08 4.3375053387776625e+08 4.3677729192245054e+08 4.4016061433999938e+08 4.4390652414126348e+08 4.4832553307225710e+08 4.5311676708161885e+08 4.5820872970931309e+08 4.6348613973170185e+08 4.6878298390760791e+08 4.7387974868988580e+08 4.7850799282088041e+08 4.8236527235519546e+08 4.8514254840798539e+08 4.8655858142049867e+08 4.8639766041409755e+08 4.8456879085824490e+08 4.8113023878100652e+08 4.7623545197999018e+08 4.7014601740200043e+08 4.6319737705363560e+08 4.5573102548453742e+08 4.4806688617792529e+08 4.4046498866308409e+08 4.3314133067021912e+08 4.2622687534504098e+08 4.1982430263834810e+08 4.1396682001740003e+08 4.0869246386105847e+08 4.0398667968536204e+08 3.9982686809797055e+08 3.9619870319617695e+08 3.9305647552028501e+08 3.9035008555887079e+08 3.8804965065984452e+08 3.8609515445932102e+08 3.8445970755364996e+08 3.8309855106737953e+08 3.8198179496585917e+08 3.8105681371206218e+08 3.8026694973935401e+08 3.7958213706958318e+08 3.7896646971229994e+08 3.7837344760518849e+08 3.7794988499790615e+08 3.7752093381738049e+08 3.7708270572873777e+08 3.7662350001804078e+08 3.7614972040854967e+08 3.7564669965710163e+08 3.7513681637911081e+08 3.7456665147198403e+08 3.7395647249559146e+08 3.7329505611069393e+08 3.7257363843730462e+08 3.7178156964176220e+08 3.7090685261137509e+08 3.6993116399953717e+08 3.6886201091109687e+08 3.6765115609470022e+08 3.6629360777865803e+08 3.6476967172149944e+08 3.6305815340774405e+08 3.6113719613483244e+08 3.5898487628465307e+08 3.5657590057908356e+08 3.5391887581128693e+08 3.5095979355045152e+08 3.4771202156962794e+08 3.4418307161555743e+08 3.4040062187238747e+08 3.3641176457123363e+08 3.3230613435859013e+08 3.2821615120522273e+08 3.2436518593569988e+08 3.2102102418324137e+08 3.1861681331853765e+08 3.1775087091716701e+08 3.1929598977678216e+08 3.2451907708352691e+08 3.3534017444997597e+08 3.5479808800095975e+08 3.8802249637509668e+08 1.7045507926783544e+08 +5.6744581527175715e+00 4.1476754096798265e+08 4.1473020690584117e+08 4.1466767935675883e+08 4.1458851526957375e+08 4.1451551851776254e+08 4.1448230215816563e+08 4.1450301852015525e+08 4.1455282489750552e+08 4.1460756440423846e+08 4.1466356583520555e+08 4.1472505640672272e+08 4.1479363814644593e+08 4.1487010492556101e+08 4.1495592492524278e+08 4.1505306416949368e+08 4.1516361833888513e+08 4.1529018993564790e+08 4.1543605074245214e+08 4.1560508902814955e+08 4.1580179009761000e+08 4.1603136988109839e+08 4.1629982083035421e+08 4.1661417108946693e+08 4.1698615964556682e+08 4.1743555520563340e+08 4.1797450519514757e+08 4.1860890283610171e+08 4.1935055440147960e+08 4.2021568584644729e+08 4.2122295322355258e+08 4.2239315066447604e+08 4.2374912808194894e+08 4.2531561518638277e+08 4.2711886873373049e+08 4.2918607743370748e+08 4.3154434972387421e+08 4.3421928648672259e+08 4.3723291255033523e+08 4.4060094159282428e+08 4.4432909075873226e+08 4.4872589481911552e+08 4.5349128805588698e+08 4.5855338074833208e+08 4.6379656032174718e+08 4.6905460437613320e+08 4.7410798844152212e+08 4.7868854278760654e+08 4.8249445333674473e+08 4.8521771163119388e+08 4.8657849044546717e+08 4.8636278201306963e+08 4.8448136255884767e+08 4.8099410203191662e+08 4.7605574560333759e+08 4.6992865168420035e+08 4.6294847572693634e+08 4.5545645501359767e+08 4.4777191453153479e+08 4.4015411920239186e+08 4.3281823433456290e+08 4.2589448260615790e+08 4.1948487195429885e+08 4.1362210101768959e+08 4.0834375905757880e+08 4.0363498994345045e+08 3.9947296360665578e+08 3.9584315767714661e+08 3.9269975661074936e+08 3.8999258037708557e+08 3.8769166374476796e+08 3.8573696865139413e+08 3.8410153489185429e+08 3.8274057064126170e+08 3.8162413015996951e+08 3.8069955503293890e+08 3.7991017385489535e+08 3.7922587083359200e+08 3.7861071712269384e+08 3.7801822724644572e+08 3.7759505666146755e+08 3.7716650633016264e+08 3.7672868940913743e+08 3.7626991516716141e+08 3.7579658090709412e+08 3.7529403557934844e+08 3.7478462399257654e+08 3.7421499500102198e+08 3.7360538950289923e+08 3.7294459469495487e+08 3.7222385492495638e+08 3.7143253035679960e+08 3.7055863514080936e+08 3.6958386566065115e+08 3.6851570942205048e+08 3.6730599199663335e+08 3.6594971878528345e+08 3.6442721403533244e+08 3.6271730312845236e+08 3.6079814988149524e+08 3.5864785125790584e+08 3.5624114016276699e+08 3.5358660323277348e+08 3.5063029962568647e+08 3.4738557732076013e+08 3.4385994101400983e+08 3.4008104290241498e+08 3.3609593100539917e+08 3.3199415581844938e+08 3.2790801523335373e+08 3.2406065927712536e+08 3.2071963768764144e+08 3.1831768451967824e+08 3.1745255780673397e+08 3.1899622662006581e+08 3.2421440977443653e+08 3.3502534741541135e+08 3.5446499608336633e+08 3.8765820318152201e+08 1.7005367910709581e+08 +5.6794264754918293e+00 4.1530715065766561e+08 4.1526975240401095e+08 4.1520711635886180e+08 4.1512781145249110e+08 4.1505466271899682e+08 4.1502133359364468e+08 4.1504199746654040e+08 4.1509177553467190e+08 4.1514647159309512e+08 4.1520240340116113e+08 4.1526379885621178e+08 4.1533225650904435e+08 4.1540856461098129e+08 4.1549418537165749e+08 4.1559107832921445e+08 4.1570133138383919e+08 4.1582753762751442e+08 4.1597295782794100e+08 4.1614146721631610e+08 4.1633753576061505e+08 4.1656636124084789e+08 4.1683391440800488e+08 4.1714719354932708e+08 4.1751788653970891e+08 4.1796570433137369e+08 4.1850276239902049e+08 4.1913491854057777e+08 4.1987392374104530e+08 4.2073593469349223e+08 4.2173952590916985e+08 4.2290539638253117e+08 4.2425628531987411e+08 4.2581679391810203e+08 4.2761303020492989e+08 4.2967201151771188e+08 4.3202064985157263e+08 4.3468432257977629e+08 4.3768480271713740e+08 4.4103752410540891e+08 4.4474789863176870e+08 4.4912248410170013e+08 4.5386202574090737e+08 4.5889424267218709e+08 4.6410319368537635e+08 4.6932245054854459e+08 4.7433248167131925e+08 4.7886539282229799e+08 4.8262000342499459e+08 4.8528933804953581e+08 4.8659498263231391e+08 4.8632463106656140e+08 4.8439082621386749e+08 4.8085503562429839e+08 4.7587329423287100e+08 4.6970872427237791e+08 4.6269718797330111e+08 4.5517966049549067e+08 4.4747486546590006e+08 4.3984130214012063e+08 4.3249330368687594e+08 4.2556035344687712e+08 4.1914378886840934e+08 4.1327580140516591e+08 4.0799353474865717e+08 4.0328183253013283e+08 3.9911763521921033e+08 3.9548622501315528e+08 3.9234168115297866e+08 3.8963374387966126e+08 3.8733236603097451e+08 3.8537748843651062e+08 3.8374208065261775e+08 3.8238131842643905e+08 3.8126520082388610e+08 3.8034103712833917e+08 3.7955214261221498e+08 3.7886835214819974e+08 3.7825371442779034e+08 3.7766175885778773e+08 3.7723898171969926e+08 3.7681083366155332e+08 3.7637342935506332e+08 3.7591508809455949e+08 3.7544220074390447e+08 3.7494013248411733e+08 3.7443119430389720e+08 3.7386210310508054e+08 3.7325307309460545e+08 3.7259290204253596e+08 3.7187284255220741e+08 3.7108226482136422e+08 3.7020919430136275e+08 3.6923534715669197e+08 3.6816819132614034e+08 3.6695961528290308e+08 3.6560462165142274e+08 3.6408355323191106e+08 3.6237525537443125e+08 3.6045791248586673e+08 3.5830964218551415e+08 3.5590520363210219e+08 3.5325316333507627e+08 3.5029964813870084e+08 3.4705798621942556e+08 3.4353567519637352e+08 3.3976034118946141e+08 3.3577898785048747e+08 3.3168108122806358e+08 3.2759879668816835e+08 3.2375506277604169e+08 3.2041719237670982e+08 3.1801750483274913e+08 3.1715319665189534e+08 3.1869541031940401e+08 3.2390867209717077e+08 3.3470941432377100e+08 3.5413073391699857e+08 3.8729263019904965e+08 1.6965284849680018e+08 +5.6843947982660872e+00 4.1584315874830335e+08 4.1580569478074878e+08 4.1574295543144888e+08 4.1566350606818831e+08 4.1559020623572594e+08 4.1555676440998989e+08 4.1557737567651081e+08 4.1562712504506058e+08 4.1568177720662278e+08 4.1573763894405943e+08 4.1579893881015736e+08 4.1586727185771132e+08 4.1594342072437418e+08 4.1602884163120615e+08 4.1612548762227565e+08 4.1623543880440819e+08 4.1636127884336907e+08 4.1650625746967882e+08 4.1667423685319805e+08 4.1686967159689409e+08 4.1709774129847109e+08 4.1736439497361529e+08 4.1767660101126969e+08 4.1804599611182010e+08 4.1849223334473145e+08 4.1902739615372509e+08 4.1965730689571834e+08 4.2039366121152776e+08 4.2125254645428026e+08 4.2225245550844806e+08 4.2341399214503652e+08 4.2475978478016895e+08 4.2631430602438802e+08 4.2810351512747258e+08 4.3015425803922242e+08 4.3249325034942418e+08 4.3514564604358691e+08 4.3813296656167978e+08 4.4147036630589646e+08 4.4516295251988435e+08 4.4951530608335614e+08 4.5422898575983900e+08 4.5923132161785209e+08 4.6440604652898848e+08 4.6958652974671406e+08 4.7455323634862548e+08 4.7903855155662012e+08 4.8274193190129083e+08 4.8535743754610908e+08 4.8660806838433474e+08 4.8628321838318950e+08 4.8429719290001756e+08 4.8071305075535750e+08 4.7568810904895109e+08 4.6948624620749134e+08 4.6244352460545558e+08 4.5490065245782262e+08 4.4717574919279534e+08 4.3952654736763859e+08 4.3216654830852753e+08 4.2522449716000819e+08 4.1880106241178674e+08 4.1292792997750670e+08 4.0764179952682692e+08 4.0292721585923481e+08 3.9876089119571435e+08 3.9512791333303797e+08 3.9198225716415274e+08 3.8927358399169856e+08 3.8697176536665756e+08 3.8501672159952337e+08 3.8338135257086051e+08 3.8202080211790043e+08 3.8090501462161887e+08 3.7998126763902038e+08 3.7919286363345253e+08 3.7850958861998057e+08 3.7789546922106695e+08 3.7730405002077401e+08 3.7688166774509066e+08 3.7645392337559885e+08 3.7601693312160677e+08 3.7555902634645522e+08 3.7508658745558119e+08 3.7458499789762849e+08 3.7407653482844150e+08 3.7350798328875226e+08 3.7289953076336259e+08 3.7223998563252032e+08 3.7152060878387493e+08 3.7073078048365223e+08 3.6985853752476603e+08 3.6888561589903307e+08 3.6781946401469576e+08 3.6661203332025766e+08 3.6525832371560484e+08 3.6373869661973721e+08 3.6203201741955811e+08 3.6011649118456048e+08 3.5797025625998139e+08 3.5556809813151264e+08 3.5291856320946193e+08 3.4996784612158978e+08 3.4672925523179114e+08 3.4321028105905360e+08 3.3943852355407661e+08 3.3546094184689158e+08 3.3136691724592078e+08 3.2728850214609021e+08 3.2344840293120873e+08 3.2011369468234116e+08 3.1771628064155251e+08 3.1685279381837833e+08 3.1839354727243948e+08 3.2360187055353224e+08 3.3439238189392912e+08 3.5379530861133373e+08 3.8692578520163411e+08 1.6925258847632712e+08 +5.6893631210403450e+00 4.1637556261069733e+08 4.1633803551567525e+08 4.1627519244979280e+08 4.1619560158621138e+08 4.1612215153032196e+08 4.1608859706257504e+08 4.1610915559396482e+08 4.1615887587411284e+08 4.1621348369452846e+08 4.1626927491625655e+08 4.1633047872336096e+08 4.1639868665162891e+08 4.1647467572866786e+08 4.1655989617142731e+08 4.1665629452202475e+08 4.1676594308176845e+08 4.1689141607108486e+08 4.1703595216523683e+08 4.1720340044850063e+08 4.1739820012879699e+08 4.1762551259309101e+08 4.1789126508435673e+08 4.1820239605535060e+08 4.1857049096921116e+08 4.1901514488478673e+08 4.1954840913837224e+08 4.2017607062570620e+08 4.2090976959119546e+08 4.2176552397126567e+08 4.2276174493867165e+08 4.2391894095640874e+08 4.2525962956942034e+08 4.2680815473294544e+08 4.2859032686869699e+08 4.3063282052608413e+08 4.3296215493416345e+08 4.3560326081349921e+08 4.3857740827015322e+08 4.4189947267001355e+08 4.4557425722739267e+08 4.4990436597248858e+08 4.5459217377850765e+08 4.5956462376519042e+08 4.6470512559827721e+08 4.6984684932766300e+08 4.7477026047613144e+08 4.7920802765213859e+08 4.8286024807249743e+08 4.8542202002450490e+08 4.8661775812063670e+08 4.8623855478269762e+08 4.8420047369980675e+08 4.8056815862549448e+08 4.7550020122836298e+08 4.6926122852528083e+08 4.6218749642885041e+08 4.5461944141696489e+08 4.4687457591215068e+08 4.3920986476328164e+08 4.3183797776747400e+08 4.2488692302530515e+08 4.1845670160179579e+08 4.1257849551887780e+08 4.0728856197084695e+08 4.0257114833054131e+08 3.9840273978217512e+08 3.9476823075176400e+08 3.9162149264877284e+08 3.8891210862445515e+08 3.8660986958731723e+08 3.8465467591285199e+08 3.8301935836831683e+08 3.8165902939770132e+08 3.8054357920456302e+08 3.7962025419187641e+08 3.7883234452715474e+08 3.7814958784260595e+08 3.7753598908266008e+08 3.7694510830270815e+08 3.7652312229738694e+08 3.7609578302333188e+08 3.7565920825075293e+08 3.7520173745556849e+08 3.7472974856551170e+08 3.7422863933370453e+08 3.7372065306993002e+08 3.7315264304421026e+08 3.7254476998882240e+08 3.7188585293131781e+08 3.7116716107236165e+08 3.7037808478050518e+08 3.6950667222994626e+08 3.6853467928712380e+08 3.6746953486502415e+08 3.6626325346174687e+08 3.6491083230465740e+08 3.6339265149490035e+08 3.6168759652569515e+08 3.5977389320014572e+08 3.5762970066181916e+08 3.5522983079282504e+08 3.5258280993451685e+08 3.4963490059387839e+08 3.4639939131334502e+08 3.4288376548600292e+08 3.3911559680455273e+08 3.3514179972347099e+08 3.3105167051829499e+08 3.2697713817189538e+08 3.2314068623050469e+08 3.1980915102566427e+08 3.1741401831882840e+08 3.1655135566216123e+08 3.1809064386585218e+08 3.2329401163420802e+08 3.3407425683281970e+08 3.5345872726221657e+08 3.8655767595054024e+08 1.6885290007308879e+08 +5.6943314438146029e+00 4.1690436723901981e+08 4.1686677894978726e+08 4.1680383119800711e+08 4.1672409980362386e+08 4.1665050100838894e+08 4.1661683406367493e+08 4.1663733971783525e+08 4.1668703051785278e+08 4.1674159355724519e+08 4.1679731382127047e+08 4.1685842110128903e+08 4.1692650340020818e+08 4.1700233213693994e+08 4.1708735151067269e+08 4.1718350155242628e+08 4.1729284674675411e+08 4.1741795185095316e+08 4.1756204446337789e+08 4.1772896056217790e+08 4.1792312393060297e+08 4.1814967771475995e+08 4.1841452734909576e+08 4.1872458131264579e+08 4.1909137376895213e+08 4.1953444164190596e+08 4.2006580408108878e+08 4.2069121250504541e+08 4.2142225170959002e+08 4.2227487013700873e+08 4.2326739716750687e+08 4.2442024587164474e+08 4.2575582284472340e+08 4.2729834331962031e+08 4.2907346884366256e+08 4.3110770255648899e+08 4.3342736737131369e+08 4.3605717087237573e+08 4.3901813207709146e+08 4.4232484771940815e+08 4.4598181760516155e+08 4.5028966902252245e+08 4.5495159550693452e+08 4.5989415533482647e+08 4.6500043767717171e+08 4.7010341668510413e+08 4.7498356208999306e+08 4.7937382980026752e+08 4.8297496126955581e+08 4.8548309540963531e+08 4.8662406227511638e+08 4.8619065109458488e+08 4.8410067970095205e+08 4.8042037043423522e+08 4.7530958194478458e+08 4.6903368225477922e+08 4.6192911423906577e+08 4.5433603787930268e+08 4.4657135581215280e+08 4.3889126419252723e+08 4.3150760161902559e+08 4.2454764030873162e+08 4.1811071544281143e+08 4.1222750679909837e+08 4.0693383064560646e+08 4.0221363833075875e+08 3.9804318921202898e+08 3.9440718537083364e+08 3.9125939559770513e+08 3.8854932567607951e+08 3.8624668651301885e+08 3.8429135913452619e+08 3.8265610575323832e+08 3.8129600793424708e+08 3.8018090221016854e+08 3.7925800440117162e+08 3.7847059288778502e+08 3.7778835739525926e+08 3.7717528157945639e+08 3.7658494125894320e+08 3.7616335292300397e+08 3.7573642014222217e+08 3.7530026227157778e+08 3.7484322894173771e+08 3.7437169158442599e+08 3.7387106429236096e+08 3.7336355651822054e+08 3.7279608984972113e+08 3.7218879823774421e+08 3.7153051139200121e+08 3.7081250685578656e+08 3.7002418513465512e+08 3.6915360582188874e+08 3.6818254470691633e+08 3.6711841124205673e+08 3.6591328304794425e+08 3.6456215473173004e+08 3.6304542514006162e+08 3.6134199994173247e+08 3.5943012574323630e+08 3.5728798255842054e+08 3.5489040873581141e+08 3.5224591057672048e+08 3.4930081856303668e+08 3.4606840140597743e+08 3.4255613534925419e+08 3.3879156773703176e+08 3.3482156819683772e+08 3.3073534768044525e+08 3.2666471131845152e+08 3.2283191915018880e+08 3.1950356781607985e+08 3.1711072422613800e+08 3.1624888852738202e+08 3.1778670647417879e+08 3.2298510181890321e+08 3.3375504583644044e+08 3.5312099695365202e+08 3.8618831019298136e+08 1.6845378430258051e+08 +5.6992997665888607e+00 4.1742957608735251e+08 4.1739192692309624e+08 4.1732887395431286e+08 4.1724900381562853e+08 4.1717525707725263e+08 4.1714147797731960e+08 4.1716193060370249e+08 4.1721159152217269e+08 4.1726610934549367e+08 4.1732175821304923e+08 4.1738276850040209e+08 4.1745072466402799e+08 4.1752639251426542e+08 4.1761121021821982e+08 4.1770711128915679e+08 4.1781615238103855e+08 4.1794088877225965e+08 4.1808453696469826e+08 4.1825091980581838e+08 4.1844444562710476e+08 4.1867023930381411e+08 4.1893418442726183e+08 4.1924315946479899e+08 4.1960864721991056e+08 4.2005012635678113e+08 4.2057958376214814e+08 4.2120273535981375e+08 4.2193111044591033e+08 4.2278058789488888e+08 4.2376941521197349e+08 4.2491790999488676e+08 4.2624836781275940e+08 4.2778487511009467e+08 4.2955294451713663e+08 4.3157890775685292e+08 4.3388889147529143e+08 4.3650738025158048e+08 4.3945514226394016e+08 4.4274649602216297e+08 4.4638563854946792e+08 4.5067122053093511e+08 4.5530725669675386e+08 4.6021992258741659e+08 4.6529198958855188e+08 4.7035623924958587e+08 4.7519314925924265e+08 4.7953596672054130e+08 4.8308608084779865e+08 4.8554067364504170e+08 4.8662699129758137e+08 4.8613951815824068e+08 4.8399782199659663e+08 4.8026969738248086e+08 4.7511626236847752e+08 4.6880361841899037e+08 4.6166838882400274e+08 4.5405045233925796e+08 4.4626609906936496e+08 4.3857075550851262e+08 4.3117542940525740e+08 4.2420665826261687e+08 4.1776311292424381e+08 4.1187497257482386e+08 4.0657761410240322e+08 4.0185469423226970e+08 3.9768224770320374e+08 3.9404478527768308e+08 3.9089597398708940e+08 3.8818524303060180e+08 3.8588222395177031e+08 3.8392677900987250e+08 3.8229160241986322e+08 3.8093174538239813e+08 3.7981699126282090e+08 3.7889452586666310e+08 3.7810761629787898e+08 3.7742590484485805e+08 3.7681335426493967e+08 3.7622355643056655e+08 3.7580236715429527e+08 3.7537584225666344e+08 3.7494010269976676e+08 3.7448350831140023e+08 3.7401242400895172e+08 3.7351228026063520e+08 3.7300525265006304e+08 3.7243833117097342e+08 3.7183162296265382e+08 3.7117396845493096e+08 3.7045665356014174e+08 3.6966908895607930e+08 3.6879934569325465e+08 3.6782921953194743e+08 3.6676610049746138e+08 3.6556212940660554e+08 3.6421229829726535e+08 3.6269702482582378e+08 3.6099523490337408e+08 3.5908519601212251e+08 3.5694510910464334e+08 3.5454983906729376e+08 3.5190787218993741e+08 3.4896560702376634e+08 3.4573629243998420e+08 3.4222739750872284e+08 3.3846644313674635e+08 3.3450025397179985e+08 3.3041795535519338e+08 3.2635122812790591e+08 3.2252210815499836e+08 3.1919695145168132e+08 3.1680640471376318e+08 3.1594539874699521e+08 3.1748174146159369e+08 3.2267514757533747e+08 3.3343475558824009e+08 3.5278212475748760e+08 3.8581769566240257e+08 1.6805524216842964e+08 +5.7042680893631186e+00 4.1795119212450838e+08 4.1791348221482629e+08 4.1785032483304834e+08 4.1777031643551177e+08 4.1769642217823774e+08 4.1766253141825271e+08 4.1768293085808283e+08 4.1773256148574775e+08 4.1778703366123766e+08 4.1784261069642717e+08 4.1790352352818143e+08 4.1797135305398452e+08 4.1804685947509038e+08 4.1813147491386050e+08 4.1822712635784018e+08 4.1833586261786342e+08 4.1846022947665888e+08 4.1860343231884927e+08 4.1876928084071940e+08 4.1896216789316177e+08 4.1918720005114239e+08 4.1945023902826524e+08 4.1975813324383032e+08 4.2012231408020741e+08 4.2056220181990570e+08 4.2108975101128030e+08 4.2171064206542796e+08 4.2243634872980636e+08 4.2328268023712981e+08 4.2426780213935274e+08 4.2541193648082292e+08 4.2673726773002738e+08 4.2826775347965574e+08 4.3002875740351802e+08 4.3204643980243540e+08 4.3434673110782963e+08 4.3695389303018224e+08 4.3988844315805554e+08 4.4316442219322914e+08 4.4678572500115252e+08 4.5104902583830148e+08 4.5565916314311427e+08 4.6054193182603079e+08 4.6557978819404340e+08 4.7060532448507065e+08 4.7539903008444208e+08 4.7969444716140658e+08 4.8319361618816102e+08 4.8559476469416410e+08 4.8662655565158838e+08 4.8608516682342136e+08 4.8389191168366903e+08 4.8011615067141932e+08 4.7492025366709083e+08 4.6857104803455508e+08 4.6140533096113861e+08 4.5376269528245133e+08 4.4595881584794629e+08 4.3824834855157381e+08 4.3084147065416813e+08 4.2386398612634891e+08 4.1741390302320814e+08 4.1152090158860272e+08 4.0621992087836379e+08 4.0149432439415377e+08 3.9731992346086425e+08 3.9368103854660761e+08 3.9053123578148079e+08 3.8781986855820632e+08 3.8551648969764417e+08 3.8356094327006710e+08 3.8192585604991108e+08 3.8056624938378739e+08 3.7945185397317886e+08 3.7852982617640001e+08 3.7774342232472980e+08 3.7706223774452555e+08 3.7645021467920804e+08 3.7586096134566057e+08 3.7544017251118976e+08 3.7501405687737936e+08 3.7457873703710330e+08 3.7412258305775422e+08 3.7365195332256496e+08 3.7315229471223134e+08 3.7264574892885017e+08 3.7207937445942819e+08 3.7147325160416240e+08 3.7081623154675245e+08 3.7009960859810239e+08 3.6931280364141065e+08 3.6844389922369629e+08 3.6747471112153405e+08 3.6641260996960568e+08 3.6520979985192031e+08 3.6386127028887141e+08 3.6234745780893809e+08 3.6064730863391972e+08 3.5873911119135052e+08 3.5660108744232810e+08 3.5420812888141495e+08 3.5156870181542104e+08 3.4862927295826858e+08 3.4540307133305615e+08 3.4189755881180841e+08 3.3814022977549171e+08 3.3417786374199098e+08 3.3009950015368336e+08 3.2603669513024861e+08 3.2221125969820946e+08 3.1888930831937504e+08 3.1650106612060308e+08 3.1564089264278764e+08 3.1717575518061972e+08 3.2236415536000228e+08 3.3311339275967968e+08 3.5244211773212624e+08 3.8544584007826722e+08 1.6765727466244522e+08 +5.7092364121373764e+00 4.1846921936241817e+08 4.1843144500270408e+08 4.1836818651172835e+08 4.1828803925787258e+08 4.1821399887489271e+08 4.1817999704625636e+08 4.1820034313850081e+08 4.1824994305468678e+08 4.1830436915632129e+08 4.1835987392607343e+08 4.1842068884217453e+08 4.1848839123146194e+08 4.1856373568564695e+08 4.1864814826791197e+08 4.1874354943416262e+08 4.1885198013989592e+08 4.1897597665435129e+08 4.1911873322666758e+08 4.1928404637919497e+08 4.1947629345435148e+08 4.1970056269834310e+08 4.1996269391243738e+08 4.2026950543135655e+08 4.2063237715916646e+08 4.2107067087270415e+08 4.2159630870780754e+08 4.2221493554715592e+08 4.2293796954055035e+08 4.2378115020658469e+08 4.2476256106601870e+08 4.2590232853279680e+08 4.2722252590090257e+08 4.2874698185202092e+08 4.3050091106399673e+08 4.3251030241567177e+08 4.3480089017900187e+08 4.3739671333320880e+08 4.4031803913454002e+08 4.4357863089237893e+08 4.4718208194676620e+08 4.5142309032994217e+08 4.5600732068238753e+08 4.6086018939238191e+08 4.6586384039277178e+08 4.7085067989312989e+08 4.7560121269889522e+08 4.7984927989958864e+08 4.8329757669468445e+08 4.8564537854086471e+08 4.8662276581527299e+08 4.8602760794855386e+08 4.8378295986520988e+08 4.7995974150211084e+08 4.7472156700384706e+08 4.6833598211097616e+08 4.6113995142026156e+08 4.5347277718210906e+08 4.4564951630000216e+08 4.3792405314870608e+08 4.3050573488115895e+08 4.2351963312482888e+08 4.1706309470206547e+08 4.1116530256912529e+08 4.0586075949674261e+08 4.0113253716082340e+08 3.9695622467640907e+08 3.9331595323737907e+08 3.9016518892895603e+08 3.8745321011583972e+08 3.8514949153029138e+08 3.8319385963247210e+08 3.8155887431029528e+08 3.8019952756575930e+08 3.7908549793792689e+08 3.7816391290257728e+08 3.7737801852353096e+08 3.7669736363311070e+08 3.7608587034825712e+08 3.7549716351866150e+08 3.7507677649911827e+08 3.7465107150216955e+08 3.7421617277231497e+08 3.7376046065976894e+08 3.7329028699545205e+08 3.7279111510706693e+08 3.7228505280470234e+08 3.7171922715453887e+08 3.7111369158831775e+08 3.7045730808102304e+08 3.6974137936840814e+08 3.6895533657401085e+08 3.6808727377867806e+08 3.6711902682260293e+08 3.6605794698414737e+08 3.6485630168570137e+08 3.6350907798096329e+08 3.6199673133353370e+08 3.6029822834361869e+08 3.5839187845238870e+08 3.5625592470124793e+08 3.5386528525948286e+08 3.5122840648170036e+08 3.4829182333682841e+08 3.4506874499095887e+08 3.4156662609399718e+08 3.3781293441345799e+08 3.3385440418767035e+08 3.2977998867598873e+08 3.2572111884316874e+08 3.2189938022156930e+08 3.1858064479439867e+08 3.1619471477416915e+08 3.1533537652479887e+08 3.1686875397199839e+08 3.2205213161771888e+08 3.3279096401056910e+08 3.5210098292383057e+08 3.8507275114696181e+08 1.6725988276466632e+08 +5.7142047349116343e+00 4.1898365609737355e+08 4.1894582400030339e+08 4.1888246030600047e+08 4.1880217613062501e+08 4.1872798993212783e+08 4.1869387756399810e+08 4.1871417015254480e+08 4.1876373892807359e+08 4.1881811853211290e+08 4.1887355060713899e+08 4.1893426714952141e+08 4.1900184190809184e+08 4.1907702386105084e+08 4.1916123300016695e+08 4.1925638324462605e+08 4.1936450767985213e+08 4.1948813304732454e+08 4.1963044243859071e+08 4.1979521918333226e+08 4.1998682508570033e+08 4.2021033003649646e+08 4.2047155188954759e+08 4.2077727885972661e+08 4.2113883931438321e+08 4.2157553640543866e+08 4.2209925978112268e+08 4.2271561878033704e+08 4.2343597590639615e+08 4.2427600089511865e+08 4.2525369515789372e+08 4.2638908940338778e+08 4.2770414567959970e+08 4.2922256369945765e+08 4.3096940911008853e+08 4.3297049936806375e+08 4.3525137264601642e+08 4.3783584533348811e+08 4.4074393461458898e+08 4.4398912682587498e+08 4.4757471441699880e+08 4.5179341943407106e+08 4.5635173519294930e+08 4.6117470166913188e+08 4.6614415312185150e+08 4.7109231300910121e+08 4.7579970526747733e+08 4.8000047373985863e+08 4.8339797179539686e+08 4.8569252518623006e+08 4.8661563228159517e+08 4.8596685240133965e+08 4.8367097764696670e+08 4.7980048107594293e+08 4.7452021353843904e+08 4.6809843165044808e+08 4.6087226096104282e+08 4.5318070850101084e+08 4.4533821056579870e+08 4.3759787911435735e+08 4.3016823158769655e+08 4.2317360846921587e+08 4.1671069690893912e+08 4.1080818423093289e+08 4.0550013846670401e+08 4.0076934086341023e+08 3.9659115952664375e+08 3.9294953739647955e+08 3.8979784136541659e+08 3.8708527554644495e+08 3.8478123721610343e+08 3.8282553580125195e+08 3.8119066485426331e+08 3.7983158754224116e+08 3.7871793074086583e+08 3.7779679360525793e+08 3.7701141243493819e+08 3.7633129003678262e+08 3.7572032878579563e+08 3.7513217045027333e+08 3.7471218661087775e+08 3.7428689361433154e+08 3.7385241738100630e+08 3.7339714858396506e+08 3.7292743248489815e+08 3.7242874889193344e+08 3.7192317171367222e+08 3.7135789668121433e+08 3.7075295032871449e+08 3.7009720545767188e+08 3.6938197325732571e+08 3.6859669512419802e+08 3.6772947671157295e+08 3.6676217396843845e+08 3.6570211885249954e+08 3.6450164219568843e+08 3.6315572863481593e+08 3.6164485263080788e+08 3.5994800122950625e+08 3.5804350495495880e+08 3.5590962799750930e+08 3.5352131527023035e+08 3.5088699320480597e+08 3.4795326511658210e+08 3.4473332030621427e+08 3.4123460617821181e+08 3.3748456379866725e+08 3.3352988197777295e+08 3.2945942750900632e+08 3.2540450577367270e+08 3.2158647615514994e+08 3.1827096724049532e+08 3.1588735699078119e+08 3.1502885669281101e+08 3.1656074416577780e+08 3.2173908278169566e+08 3.3246747598868644e+08 3.5175872736617613e+08 3.8469843656025994e+08 1.6686306744341144e+08 +5.7191730576858921e+00 4.1949450960509193e+08 4.1945661555571711e+08 4.1939315202465725e+08 4.1931273035608172e+08 4.1923839824056417e+08 4.1920417571719986e+08 4.1922441465405279e+08 4.1927395185413098e+08 4.1932828453998661e+08 4.1938364349429917e+08 4.1944426120809793e+08 4.1951170784512681e+08 4.1958672676615214e+08 4.1967073188090396e+08 4.1976563056463295e+08 4.1987344802075863e+08 4.1999670144545382e+08 4.2013856275490636e+08 4.2030280206419158e+08 4.2049376561234415e+08 4.2071650490613067e+08 4.2097681581847346e+08 4.2128145641022086e+08 4.2164170345443815e+08 4.2207680135821319e+08 4.2259860720998871e+08 4.2321269478828257e+08 4.2393037090578336e+08 4.2476723544327885e+08 4.2574120762971979e+08 4.2687222239402843e+08 4.2818213046874899e+08 4.2969450254267246e+08 4.3143425519927633e+08 4.3342703447815204e+08 4.3569818251374662e+08 4.3827129325076973e+08 4.4116613406478602e+08 4.4439591474449050e+08 4.4796362748694485e+08 4.5216001862219489e+08 4.5669241259508801e+08 4.6148547507767946e+08 4.6642073335530913e+08 4.7133023140288764e+08 4.7599451598622561e+08 4.8014803751441139e+08 4.8349481094170660e+08 4.8573621465150368e+08 4.8660516555604070e+08 4.8590291105802071e+08 4.8355597614012653e+08 4.7963838059400964e+08 4.7431620442640299e+08 4.6785840764876831e+08 4.6060227033312136e+08 4.5288649969048113e+08 4.4502490877254677e+08 4.3726983624946088e+08 4.2982897026162755e+08 4.2282592135651642e+08 4.1635671857889044e+08 4.1044955527431744e+08 4.0513806628328913e+08 4.0040474381827801e+08 3.9622473617447209e+08 3.9258179905549210e+08 3.8942920101241380e+08 3.8671607267813838e+08 3.8441173450738806e+08 3.8245597946597463e+08 3.8082123532224387e+08 3.7946243691368300e+08 3.7834915995095158e+08 3.7742847582997012e+08 3.7664361158621287e+08 3.7596402446785444e+08 3.7535359749003631e+08 3.7476598962753958e+08 3.7434641032466584e+08 3.7392153068433726e+08 3.7348747832427013e+08 3.7303265428273016e+08 3.7256339723306036e+08 3.7206520350039101e+08 3.7156011307935607e+08 3.7099539045085049e+08 3.7039103522474754e+08 3.6973593106307930e+08 3.6902139763650876e+08 3.6823688664822876e+08 3.6737051536133534e+08 3.6640415987950075e+08 3.6534513287447506e+08 3.6414582865672249e+08 3.6280122949827045e+08 3.6129182891860646e+08 3.5959663447571605e+08 3.5769399784501803e+08 3.5556220443462431e+08 3.5317622596986222e+08 3.5054446898797202e+08 3.4761360524225688e+08 3.4439680415917724e+08 3.4090150587478793e+08 3.3715512466699791e+08 3.3320430376964825e+08 3.2913782322871405e+08 3.2508686241602600e+08 3.2127255391734940e+08 3.1796028200975913e+08 3.1557899907480818e+08 3.1472133943367267e+08 3.1625173207994193e+08 3.2142501527314436e+08 3.3214293532944745e+08 3.5141535807979769e+08 3.8432290399573964e+08 1.6646682965532765e+08 +5.7241413804601500e+00 4.2000178131012851e+08 4.1996382599156982e+08 4.1990026237638152e+08 4.1981970346032387e+08 4.1974522668276417e+08 4.1971089430111873e+08 4.1973107944373077e+08 4.1978058463147265e+08 4.1983486998121923e+08 4.1989015539202368e+08 4.1995067382433176e+08 4.2001799185294592e+08 4.2009284721548128e+08 4.2017664772955090e+08 4.2027129421954292e+08 4.2037880399440026e+08 4.2050168468944043e+08 4.2064309702555382e+08 4.2080679788305318e+08 4.2099711790857178e+08 4.2121909019688314e+08 4.2147848860854435e+08 4.2178204101387465e+08 4.2214097253622627e+08 4.2257446872075689e+08 4.2309435402183360e+08 4.2370616664537728e+08 4.2442115766531324e+08 4.2525485704074776e+08 4.2622510174504435e+08 4.2735173085361141e+08 4.2865648371894211e+08 4.3016280195062435e+08 4.3189545303815967e+08 4.3387991161203724e+08 4.3614132383283299e+08 4.3870306135076135e+08 4.4158464199840897e+08 4.4479899944427645e+08 4.4834882627521843e+08 4.5252289340797168e+08 4.5702935884950864e+08 4.6179251607982635e+08 4.6669358810484499e+08 4.7156444267878413e+08 4.7618565308222634e+08 4.8029198008262146e+08 4.8358810360790092e+08 4.8577645697599226e+08 4.8659137615832531e+08 4.8583579480413318e+08 4.8343796645845902e+08 4.7947345125628346e+08 4.7410955081869423e+08 4.6761592109347969e+08 4.6032999027785987e+08 4.5259016119037509e+08 4.4470962103437376e+08 4.3693993434147066e+08 4.2948796037666935e+08 4.2247658097033578e+08 4.1600116863116622e+08 4.1008942438547796e+08 4.0477455142700785e+08 4.0003875432774431e+08 3.9585696276934767e+08 3.9221274623230636e+08 3.8905927577665818e+08 3.8634560932627320e+08 3.8404099114288855e+08 3.8208519830228943e+08 3.8045059333970976e+08 3.7909208326631421e+08 3.7797919312411970e+08 3.7705896710909504e+08 3.7627462349076629e+08 3.7559557442442667e+08 3.7498568394703609e+08 3.7439862852396953e+08 3.7397945510597777e+08 3.7355499016860366e+08 3.7312136305005240e+08 3.7266698519469196e+08 3.7219818866988826e+08 3.7170048635138702e+08 3.7119588431086779e+08 3.7063171586222941e+08 3.7002795366234791e+08 3.6937349227045107e+08 3.6865965986526662e+08 3.6787591848929822e+08 3.6701039705371583e+08 3.6604499186196309e+08 3.6498699633511269e+08 3.6378886833074248e+08 3.6244558780608201e+08 3.6093766740157783e+08 3.5924413525264072e+08 3.5734336425549769e+08 3.5521366110273808e+08 3.5283002440074742e+08 3.5020084082115543e+08 3.4727285064524633e+08 3.4405920341750026e+08 3.4056733198173988e+08 3.3682462374160564e+08 3.3287767620729721e+08 3.2881518239810252e+08 3.2476819525301820e+08 3.2095761991468775e+08 3.1764859544278353e+08 3.1526964731944698e+08 3.1441283102365297e+08 3.1594172402074617e+08 3.2110993550194317e+08 3.3181734865627146e+08 3.5107088207213581e+08 3.8394616111771566e+08 1.6607117034543869e+08 +5.7291097032344078e+00 4.2050547243534297e+08 4.2046745736881745e+08 4.2040379100106198e+08 4.2032309887396699e+08 4.2024847810102254e+08 4.2021403617000353e+08 4.2023416736845052e+08 4.2028364010834175e+08 4.2033787770476210e+08 4.2039308915283394e+08 4.2045350785454965e+08 4.2052069679205328e+08 4.2059538807315838e+08 4.2067898341467601e+08 4.2077337708352631e+08 4.2088057848231572e+08 4.2100308566843861e+08 4.2114404814888215e+08 4.2130720954998147e+08 4.2149688489761472e+08 4.2171808884851891e+08 4.2197657321718490e+08 4.2227903565001887e+08 4.2263664956560010e+08 4.2306854153095263e+08 4.2358650329395342e+08 4.2419603747308588e+08 4.2490833936021042e+08 4.2573886892561400e+08 4.2670538081529540e+08 4.2782761818064100e+08 4.2912720892891359e+08 4.3062746553930843e+08 4.3235300637975132e+08 4.3432913468227267e+08 4.3658080070208764e+08 4.3913115394535035e+08 4.4199946297297043e+08 4.4519838576583272e+08 4.4873031594487786e+08 4.5288204934764808e+08 4.5736257995887715e+08 4.6209583117519426e+08 4.6696272441822106e+08 4.7179495447600514e+08 4.7637312481359720e+08 4.8043231033115536e+08 4.8367785929095566e+08 4.8581326221635348e+08 4.8657427462154055e+08 4.8576551453233206e+08 4.8331695972003257e+08 4.7930570426231509e+08 4.7390026386242497e+08 4.6737098296647418e+08 4.6005543152544206e+08 4.5229170342930222e+08 4.4439235745433336e+08 4.3660818316434854e+08 4.2914521139265108e+08 4.2212559647961330e+08 4.1564405597238803e+08 4.0972780023586136e+08 4.0440960236516559e+08 3.9967138068023556e+08 3.9548784744447064e+08 3.9184238693086082e+08 3.8868807355204767e+08 3.8597389329127413e+08 3.8366901484635878e+08 3.8171319997237492e+08 3.8007874651870996e+08 3.7872053417216253e+08 3.7760803780229056e+08 3.7668827496049881e+08 3.7590445564825457e+08 3.7522594739076173e+08 3.7461659562811053e+08 3.7403009459926212e+08 3.7361132840586317e+08 3.7318727950973248e+08 3.7275407899234319e+08 3.7230014874495435e+08 3.7183181421067679e+08 3.7133460485116476e+08 3.7083049280378556e+08 3.7026688029919875e+08 3.6966371301435083e+08 3.6900989643939525e+08 3.6829676728855151e+08 3.6751379797716212e+08 3.6664912910113949e+08 3.6568467720928979e+08 3.6462771650620204e+08 3.6343076846525687e+08 3.6208881077968854e+08 3.6058237527113879e+08 3.5889051071855438e+08 3.5699161130553639e+08 3.5486400507939923e+08 3.5248271759289163e+08 3.4985611568201661e+08 3.4693100824489754e+08 3.4372052493663979e+08 3.4023209128495634e+08 3.3649306773327434e+08 3.3255000592311823e+08 3.2849151156872427e+08 3.2444851075548297e+08 3.2064168054201585e+08 3.1733591386879498e+08 3.1495930800601578e+08 3.1410333772711951e+08 3.1563072628323323e+08 3.2079384986580312e+08 3.3149072258038169e+08 3.5072530633803278e+08 3.8356821557565957e+08 1.6567609044719449e+08 +5.7340780260086657e+00 4.2100558345442724e+08 4.2096751176277655e+08 4.2090374645815474e+08 4.2082291992885661e+08 4.2074815531074852e+08 4.2071360423422945e+08 4.2073368132221365e+08 4.2078312118495482e+08 4.2083731061040449e+08 4.2089244767942637e+08 4.2095276620353419e+08 4.2101982557042223e+08 4.2109435225197947e+08 4.2117774185352761e+08 4.2127188208098501e+08 4.2137877441443276e+08 4.2150090732028973e+08 4.2164141907283068e+08 4.2180404002436280e+08 4.2199306955195516e+08 4.2221350384920710e+08 4.2247107265028501e+08 4.2277244334746403e+08 4.2312873759801590e+08 4.2355902287546563e+08 4.2407505815076071e+08 4.2468231044160348e+08 4.2539191921451342e+08 4.2621927438447684e+08 4.2718204820042700e+08 4.2829988782105166e+08 4.2959430964488077e+08 4.3108849697281623e+08 4.3280691902549887e+08 4.3477470764922959e+08 4.3701661726487279e+08 4.3955557539157945e+08 4.4241060159214425e+08 4.4559407859399462e+08 4.4910810170169067e+08 4.5323749203994912e+08 4.5769208196536082e+08 4.6239542690277398e+08 4.6722814937987888e+08 4.7202177446587437e+08 4.7655693946846998e+08 4.8056903717311496e+08 4.8376408750990194e+08 4.8584664044804531e+08 4.8655387149082202e+08 4.8569208114442444e+08 4.8319296704544961e+08 4.7913515081100541e+08 4.7368835469958097e+08 4.6712360423934096e+08 4.5977860479691726e+08 4.5199113682404137e+08 4.4407312812158930e+08 4.3627459247885454e+08 4.2880073275606239e+08 4.2177297703830475e+08 4.1528538949361604e+08 4.0936469148300517e+08 4.0404322754864061e+08 3.9930263114885789e+08 3.9511739832119632e+08 3.9147072914017999e+08 3.8831560221721888e+08 3.8560093235973632e+08 3.8329581332813710e+08 3.8133999212413156e+08 3.7970570245673996e+08 3.7834779718986779e+08 3.7723570151298511e+08 3.7631640688839936e+08 3.7553311554407811e+08 3.7485515083772767e+08 3.7424633999106503e+08 3.7366039529911959e+08 3.7324203766142809e+08 3.7281840613686466e+08 3.7238563357145625e+08 3.7193215234472060e+08 3.7146428125802219e+08 3.7096756639152694e+08 3.7046394593992305e+08 3.6990089113257003e+08 3.6929832063903385e+08 3.6864515091510046e+08 3.6793272723756343e+08 3.6715053242766041e+08 3.6628671880233282e+08 3.6532322320075005e+08 3.6426730064630973e+08 3.6307153629543394e+08 3.6173090562699080e+08 3.6022595970502055e+08 3.5853576801698166e+08 3.5663874610211825e+08 3.5451324342859101e+08 3.5213431256282526e+08 3.4951030053478169e+08 3.4658808494735891e+08 3.4338077555848008e+08 3.3989579055660111e+08 3.3616046334050578e+08 3.3222129953715992e+08 3.2816681727996254e+08 3.2412781538210768e+08 3.2032474218204933e+08 3.1702224360420638e+08 3.1464798740454078e+08 3.1379286579642981e+08 3.1531874515049177e+08 3.2047676475058281e+08 3.3116306370061570e+08 3.5037863785949695e+08 3.8318907500514740e+08 1.6528159088251951e+08 +5.7390463487829235e+00 4.2150212326902199e+08 4.2146399007248211e+08 4.2140012752186555e+08 4.2131916863614595e+08 4.2124426113082165e+08 4.2120960145221299e+08 4.2122962424574834e+08 4.2127903080945134e+08 4.2133317164535803e+08 4.2138823392258620e+08 4.2144845182536864e+08 4.2151538114613605e+08 4.2158974271313024e+08 4.2167292601290607e+08 4.2176681218260717e+08 4.2187339476973951e+08 4.2199515263250959e+08 4.2213521279384947e+08 4.2229729231294197e+08 4.2248567489267260e+08 4.2270533823487937e+08 4.2296198996416891e+08 4.2326226718294197e+08 4.2361723973668784e+08 4.2404591588976634e+08 4.2456002176566339e+08 4.2516498877002150e+08 4.2587190049949229e+08 4.2669607675134963e+08 4.2765510730771238e+08 4.2876854326758492e+08 4.3005778946082801e+08 4.3154589996182215e+08 4.3325719482249933e+08 4.3521663451870596e+08 4.3744877771214867e+08 4.3997633009312248e+08 4.4281806250384617e+08 4.4598608285722977e+08 4.4948218879480177e+08 4.5358922712505877e+08 4.5801787095200473e+08 4.6269130983997768e+08 4.6748987011067462e+08 4.7224491035352719e+08 4.7673710536551088e+08 4.8070216954866242e+08 4.8384679780709839e+08 4.8587660176281953e+08 4.8653017732524180e+08 4.8561550554918069e+08 4.8306599955920470e+08 4.7896180209904695e+08 4.7347383446673495e+08 4.6687379587792790e+08 4.5949952080250067e+08 4.5168847177912110e+08 4.4375194311230189e+08 4.3593917203209180e+08 4.2845453389839721e+08 4.2141873178794032e+08 4.1492517807173538e+08 4.0900010676975858e+08 4.0367543541502517e+08 3.9893251399316937e+08 3.9474562350449866e+08 3.9109778083521205e+08 3.8794186963676023e+08 3.8522673430347109e+08 3.8292139428409839e+08 3.8096558239107460e+08 3.7933146873765832e+08 3.7797387986313289e+08 3.7686219176984304e+08 3.7594337038325632e+08 3.7516061064990652e+08 3.7448319222176254e+08 3.7387492447954148e+08 3.7328953805529302e+08 3.7287159029652512e+08 3.7244837746493059e+08 3.7201603419362736e+08 3.7156300339117241e+08 3.7109559719927472e+08 3.7059937835060245e+08 3.7009625108792210e+08 3.6953375571968710e+08 3.6893178388161725e+08 3.6827926302995431e+08 3.6756754703081316e+08 3.6678612914307243e+08 3.6592317344274479e+08 3.6496063710238934e+08 3.6390575600036609e+08 3.6271117904226822e+08 3.6137187954233462e+08 3.5986842786791074e+08 3.5817991427947646e+08 3.5628477573843509e+08 3.5416138320143539e+08 3.5178481631453025e+08 3.4916340233110887e+08 3.4624408764595968e+08 3.4303996211218882e+08 3.3955843655746013e+08 3.3582681724927473e+08 3.3189156365702575e+08 3.2784110605822414e+08 3.2380611557945758e+08 3.2000681120546442e+08 3.1670759095454723e+08 3.1433569177267516e+08 3.1348142147301757e+08 3.1500578689399064e+08 3.2015868653029531e+08 3.3083437860322744e+08 3.5003088360490066e+08 3.8280874702719396e+08 1.6488767256186125e+08 +5.7440146715571814e+00 4.2199509246863031e+08 4.2195689966711229e+08 4.2189294155241805e+08 4.2181184819549513e+08 4.2173679847485137e+08 4.2170203081322634e+08 4.2172199912925780e+08 4.2177137198119783e+08 4.2182546380562592e+08 4.2188045088096255e+08 4.2194056772180748e+08 4.2200736652475137e+08 4.2208156246604276e+08 4.2216453890730232e+08 4.2225817040961337e+08 4.2236444257553250e+08 4.2248582464021057e+08 4.2262543235656470e+08 4.2278696947261876e+08 4.2297470398786771e+08 4.2319359509053046e+08 4.2344932826107508e+08 4.2374851028138477e+08 4.2410215913262433e+08 4.2452922375651067e+08 4.2504139736071974e+08 4.2564407572497004e+08 4.2634828653555018e+08 4.2716927940877342e+08 4.2812456159302402e+08 4.2923358806178141e+08 4.3051765201714957e+08 4.3199967826430041e+08 4.3370383766450572e+08 4.3565491934304667e+08 4.3787728627953750e+08 4.4039342249742872e+08 4.4322185040038800e+08 4.4637440352842432e+08 4.4985258251549965e+08 4.5393726028476262e+08 4.5833995304145801e+08 4.6298348660185784e+08 4.6774789376641589e+08 4.7246436987786287e+08 4.7691363085309368e+08 4.8083171642185462e+08 4.8392599974519932e+08 4.8590315627044463e+08 4.8650320269456691e+08 4.8553579866272855e+08 4.8293606838789773e+08 4.7878566932254642e+08 4.7325671429620242e+08 4.6662156883841032e+08 4.5921819024226809e+08 4.5138371868787038e+08 4.4342881248964792e+08 4.3560193155624801e+08 4.2810662423699623e+08 4.2106286985348225e+08 4.1456343056921703e+08 4.0863405472383970e+08 4.0330623438813716e+08 3.9856103745751715e+08 3.9437253108581376e+08 3.9072354997689694e+08 3.8756688366084206e+08 3.8485130688093567e+08 3.8254576539574456e+08 3.8058997839262611e+08 3.7895605293077171e+08 3.7759878972249883e+08 3.7648751607276887e+08 3.7556917292044783e+08 3.7478694842293853e+08 3.7411007898532671e+08 3.7350235652341086e+08 3.7291753028572178e+08 3.7249999372003949e+08 3.7207720089473432e+08 3.7164528825154030e+08 3.7119270926790309e+08 3.7072576940868425e+08 3.7023004809290165e+08 3.6972741560153872e+08 3.6916548140307504e+08 3.6856411007302296e+08 3.6791224010190177e+08 3.6720123397171420e+08 3.6642059541188943e+08 3.6555850029296380e+08 3.6459692616668731e+08 3.6354308979960710e+08 3.6234970391269261e+08 3.6101173970677078e+08 3.5950978691056037e+08 3.5782295662324256e+08 3.5592970729406244e+08 3.5380843143539733e+08 3.5143423583823919e+08 3.4881542800888658e+08 3.4589902322083116e+08 3.4269809141533029e+08 3.3922003603462148e+08 3.3549213613287950e+08 3.3156080487739432e+08 3.2751438441868591e+08 3.2348341778191316e+08 3.1968789397172230e+08 3.1639196221299899e+08 3.1402242735670865e+08 3.1316901098610628e+08 3.1469185777308482e+08 3.1983962156708658e+08 3.3050467386264127e+08 3.4968205053018242e+08 3.8242723924870229e+08 1.6449433638423935e+08 +5.7489829943314392e+00 4.2248449234279287e+08 4.2244624395102507e+08 4.2238218760801470e+08 4.2230096109036940e+08 4.2222577042875093e+08 4.2219089533506745e+08 4.2221080901151687e+08 4.2226014774721962e+08 4.2231419013619685e+08 4.2236910160220450e+08 4.2242911694326657e+08 4.2249578476014984e+08 4.2256981456920874e+08 4.2265258359913689e+08 4.2274595983042216e+08 4.2285192090659833e+08 4.2297292642619461e+08 4.2311208085333914e+08 4.2327307460622507e+08 4.2346015995590544e+08 4.2367827754891771e+08 4.2393309069251060e+08 4.2423117581646848e+08 4.2458349898495501e+08 4.2500894970743865e+08 4.2551918820474792e+08 4.2611957462040442e+08 4.2682108068951410e+08 4.2763888578541273e+08 4.2859041455765128e+08 4.2969502579107362e+08 4.3097390100251704e+08 4.3244983568430108e+08 4.3414685149209416e+08 4.3608956622078055e+08 4.3830214724860340e+08 4.4080685709794962e+08 4.4362197001840055e+08 4.4675904562358505e+08 4.5021928819863564e+08 4.5428159724181736e+08 4.5865833439596415e+08 4.6327196384101546e+08 4.6800222753913891e+08 4.7268016080969125e+08 4.7708652430836022e+08 4.8095768678530091e+08 4.8400170290934801e+08 4.8592631409799951e+08 4.8647295818126708e+08 4.8545297140883797e+08 4.8280318466104043e+08 4.7860676367549455e+08 4.7303700531485838e+08 4.6636693406965148e+08 4.5893462380617964e+08 4.5107688793059146e+08 4.4310374630399245e+08 4.3526288077125216e+08 4.2775701317563826e+08 4.2070540034631652e+08 4.1420015583351266e+08 4.0826654395926833e+08 4.0293563287498093e+08 3.9818820977205920e+08 3.9399812914201313e+08 3.9034804451112127e+08 3.8719065212523073e+08 3.8447465783523101e+08 3.8216893433076823e+08 3.8021318773361319e+08 3.7857946259111059e+08 3.7722253428374773e+08 3.7611168190674001e+08 3.7519382196228206e+08 3.7441213630709708e+08 3.7373581855691129e+08 3.7312864353793150e+08 3.7254437939371490e+08 3.7212725532769656e+08 3.7170488381321746e+08 3.7127340312331504e+08 3.7082127734434921e+08 3.7035480524657273e+08 3.6985958296857387e+08 3.6935744682111400e+08 3.6879607551203901e+08 3.6819530653042078e+08 3.6754408943509847e+08 3.6683379535037249e+08 3.6605393850852579e+08 3.6519270661093843e+08 3.6423209763172346e+08 3.6317930926109588e+08 3.6198711810126501e+08 3.6065049328751045e+08 3.5915004397041905e+08 3.5746490215204036e+08 3.5557354783555615e+08 3.5345439515454566e+08 3.5108257811079103e+08 3.4846638449340820e+08 3.4555289853916651e+08 3.4235517027047449e+08 3.3888059572264361e+08 3.3515642665166199e+08 3.3122902978110272e+08 3.2718665886307251e+08 3.2315972841185451e+08 3.1936799682715482e+08 3.1607536366112500e+08 3.1370820039112192e+08 3.1285564055298984e+08 3.1437696403578162e+08 3.1951957621044725e+08 3.3017395603995144e+08 3.4933214557744122e+08 3.8204455926201701e+08 1.6410158323729348e+08 +5.7539513171056971e+00 4.2297032929758745e+08 4.2293202306740409e+08 4.2286786749020034e+08 4.2278651094988871e+08 4.2271118017347419e+08 4.2267619806912357e+08 4.2269605698108321e+08 4.2274536120389932e+08 4.2279935372891116e+08 4.2285418918147814e+08 4.2291410258839655e+08 4.2298063895368910e+08 4.2305450212768793e+08 4.2313706319955009e+08 4.2323018356117082e+08 4.2333583288638133e+08 4.2345646112210524e+08 4.2359516142505956e+08 4.2375561086623162e+08 4.2394204596077758e+08 4.2415938879024017e+08 4.2441328045765501e+08 4.2471026700867635e+08 4.2506126254113209e+08 4.2548509702063853e+08 4.2599339761398250e+08 4.2659148881773198e+08 4.2729028637591362e+08 4.2810489935820091e+08 4.2905266975186145e+08 4.3015286008987516e+08 4.3142654015012830e+08 4.3289637607277513e+08 4.3458624029160428e+08 4.3652057929542524e+08 4.3872336494570029e+08 4.4121663843261480e+08 4.4401842613887203e+08 4.4714001420185459e+08 4.5058231122010326e+08 4.5462224375984377e+08 4.5897302121759206e+08 4.6355674824834460e+08 4.6825287865551573e+08 4.7289229095227909e+08 4.7725579413795578e+08 4.8108008965462548e+08 4.8407391690553713e+08 4.8594608538738829e+08 4.8643945438012046e+08 4.8536703471782094e+08 4.8266735950957787e+08 4.7842509634974605e+08 4.7281471864327246e+08 4.6610990251195329e+08 4.5864883217287123e+08 4.5076798987605745e+08 4.4277675459123331e+08 4.3492202938166338e+08 4.2740571010304540e+08 4.2034633236317825e+08 4.1383536269764709e+08 4.0789758307383037e+08 4.0256363926937932e+08 3.9781403915248328e+08 3.9362242573467398e+08 3.8997127236889565e+08 3.8681318285104221e+08 3.8409679489526081e+08 3.8179090874143505e+08 3.7983521800502175e+08 3.7820170525984430e+08 3.7684512104815471e+08 3.7573469674292535e+08 3.7481732495605558e+08 3.7403618173105878e+08 3.7336041835091424e+08 3.7275379292515934e+08 3.7217009276903707e+08 3.7175338250067216e+08 3.7133143359324366e+08 3.7090038617317271e+08 3.7044871497555858e+08 3.6998271205894697e+08 3.6948799031382400e+08 3.6898635207285041e+08 3.6842554536169547e+08 3.6782538055700159e+08 3.6717481832008052e+08 3.6646523844340038e+08 3.6568616569395369e+08 3.6482579964059299e+08 3.6386615872234339e+08 3.6281442158927202e+08 3.6162342878750193e+08 3.6028814743791157e+08 3.5878920617151850e+08 3.5710575795594203e+08 3.5521630441531497e+08 3.5309928136996299e+08 3.5072985009659123e+08 3.4811627869650418e+08 3.4520572045490378e+08 3.4201120546910369e+08 3.3854012234352511e+08 3.3481969545352268e+08 3.3089624493830091e+08 3.2685793588128972e+08 3.2283505387893325e+08 3.1904712610644317e+08 3.1575780156822324e+08 3.1339301709808624e+08 3.1254131637907976e+08 3.1406111191755998e+08 3.1919855679820025e+08 3.2984223168468970e+08 3.4898117567594260e+08 3.8166071464495927e+08 1.6370941399733204e+08 +5.7589196398799549e+00 4.2345260673758119e+08 4.2341424147412604e+08 4.2334998875512213e+08 4.2326850167724484e+08 4.2319303086958134e+08 4.2315794212003446e+08 4.2317774617764765e+08 4.2322701549512374e+08 4.2328095772361439e+08 4.2333571676154822e+08 4.2339552780214113e+08 4.2346193225545019e+08 4.2353562829496646e+08 4.2361798086628342e+08 4.2371084476616383e+08 4.2381618168568563e+08 4.2393643190625805e+08 4.2407467725992531e+08 4.2423458145185280e+08 4.2442036521567500e+08 4.2463693204332161e+08 4.2488990080241698e+08 4.2518578712573904e+08 4.2553545309460145e+08 4.2595766902205157e+08 4.2646402895240772e+08 4.2705982172577310e+08 4.2775590705581146e+08 4.2856732365041947e+08 4.2951133077081329e+08 4.3060709463936514e+08 4.3187557324180889e+08 4.3333930332654452e+08 4.3502200809440857e+08 4.3694796275628448e+08 4.3914094374234974e+08 4.4162277108285290e+08 4.4441122358568758e+08 4.4751731436525744e+08 4.5094165699831372e+08 4.5495920564369327e+08 4.5928401974661583e+08 4.6383784655123216e+08 4.6849985437679362e+08 4.7310076814138150e+08 4.7742144877810425e+08 4.8119893407141107e+08 4.8414265135997552e+08 4.8596248029886329e+08 4.8640270189638263e+08 4.8527799952633822e+08 4.8252860406769872e+08 4.7824067853542960e+08 4.7258986539683735e+08 4.6585048509685069e+08 4.5836082601081145e+08 4.5045703488020152e+08 4.4244784737468153e+08 4.3457938707776785e+08 4.2705272439211971e+08 4.1998567498544103e+08 4.1346905997965354e+08 4.0752718065228271e+08 4.0219026195016617e+08 3.9743853379828912e+08 3.9324542891140884e+08 3.8959324146753997e+08 3.8643448364492518e+08 3.8371772577571726e+08 3.8141169626656228e+08 3.7945607678290129e+08 3.7782278846304989e+08 3.7646655750251657e+08 3.7535656803800744e+08 3.7443968933531910e+08 3.7365909211004919e+08 3.7298388576668018e+08 3.7237781207153493e+08 3.7179467778735912e+08 3.7137838260590708e+08 3.7095685759358585e+08 3.7052624475147587e+08 3.7007502950271916e+08 3.6960949717740595e+08 3.6911527745092940e+08 3.6861413866912580e+08 3.6805389825304717e+08 3.6745433944232351e+08 3.6680443403293091e+08 3.6609557051244295e+08 3.6531728421489304e+08 3.6445778661109883e+08 3.6349911664914238e+08 3.6244843397316879e+08 3.6125864313785905e+08 3.5992470929782414e+08 3.5842728062377363e+08 3.5674553111252815e+08 3.5485798407338768e+08 3.5274309707875103e+08 3.5037605874585140e+08 3.4776511751673669e+08 3.4485749580929160e+08 3.4166620378822249e+08 3.3819862260582238e+08 3.3448194917379814e+08 3.3056245690586150e+08 3.2652822195071900e+08 3.2250940058118749e+08 3.1872528813241154e+08 3.1543928219153434e+08 3.1307688368838304e+08 3.1222604465839720e+08 3.1374430764209193e+08 3.1887656965609604e+08 3.2950950733313483e+08 3.4862914774104595e+08 3.8127571296085173e+08 1.6331782952938047e+08 +5.7638879626542128e+00 4.2393131956575364e+08 4.2389289910921687e+08 4.2382855234491688e+08 4.2374693564376253e+08 4.2367132566286200e+08 4.2363613065704137e+08 4.2365587978820723e+08 4.2370511381247330e+08 4.2375900530901629e+08 4.2381368753275949e+08 4.2387339577799052e+08 4.2393966786160958e+08 4.2401319627192223e+08 4.2409533980549806e+08 4.2418794665634400e+08 4.2429297052250606e+08 4.2441284200491136e+08 4.2455063159277636e+08 4.2470998960913479e+08 4.2489512097946739e+08 4.2511091058229154e+08 4.2536295502027094e+08 4.2565773948311841e+08 4.2600607398680180e+08 4.2642666908439171e+08 4.2693108563104004e+08 4.2752457680008280e+08 4.2821794623793948e+08 4.2902616223212647e+08 4.2996640125790119e+08 4.3105773316702002e+08 4.3232100410245651e+08 4.3377862138782382e+08 4.3545415897845978e+08 4.3737172083762181e+08 4.3955488805455536e+08 4.4202525967441362e+08 4.4480036722672415e+08 4.4789095125759941e+08 4.5129733099293613e+08 4.5529248873743898e+08 4.5959133626252681e+08 4.6411526551328909e+08 4.6874316199904209e+08 4.7330560024384570e+08 4.7758349669173282e+08 4.8131422910297406e+08 4.8420791592071182e+08 4.8597550900675315e+08 4.8636271134774953e+08 4.8518587677851433e+08 4.8238692947017747e+08 4.7805352141979724e+08 4.7236245668474072e+08 4.6558869274686801e+08 4.5807061597671521e+08 4.5014403328673047e+08 4.4211703466409355e+08 4.3423496353685254e+08 4.2669806540375048e+08 4.1962343728015542e+08 4.1310125648214465e+08 4.0715534526256537e+08 4.0181550928051376e+08 3.9706170189566994e+08 3.9286714670450199e+08 3.8921395970884269e+08 3.8605456229893339e+08 3.8333745817616814e+08 3.8103130452980494e+08 3.7907577162922692e+08 3.7744271971312773e+08 3.7608685112006849e+08 3.7497730323461932e+08 3.7406092251901340e+08 3.7328087484425563e+08 3.7260622819042647e+08 3.7200070835029751e+08 3.7141814180939817e+08 3.7100226299594295e+08 3.7058116315841776e+08 3.7015098619366354e+08 3.6970022825309843e+08 3.6923516791995651e+08 3.6874145168802279e+08 3.6824081390750360e+08 3.6768114147294009e+08 3.6708219046092927e+08 3.6643294383576500e+08 3.6572479880599952e+08 3.6494730130384743e+08 3.6408867473853523e+08 3.6313097860915130e+08 3.6208135358929163e+08 3.6089276830463976e+08 3.5956018599300039e+08 3.5806427442344999e+08 3.5638422868455809e+08 3.5449859383480847e+08 3.5238584926499236e+08 3.5002121099517149e+08 3.4741290783913249e+08 3.4450823142979890e+08 3.4132017199243790e+08 3.3785610320518255e+08 3.3414319443453926e+08 3.3022767222888273e+08 3.2619752353609544e+08 3.2218277490333498e+08 3.1840248921511972e+08 3.1511981177647024e+08 3.1275980636008072e+08 3.1190983157222062e+08 3.1342655742110324e+08 3.1855362109729612e+08 3.2917578950919837e+08 3.4827606867573023e+08 3.8088956175834394e+08 1.6292683068722957e+08 +5.7688562854284706e+00 4.2440648460620219e+08 4.2436800589214915e+08 4.2430356092146832e+08 4.2422181572261775e+08 4.2414606778630036e+08 4.2411076691829211e+08 4.2413046104888421e+08 4.2417965939185828e+08 4.2423349971918088e+08 4.2428810473192412e+08 4.2434770975594246e+08 4.2441384901575613e+08 4.2448720930535215e+08 4.2456914326885414e+08 4.2466149249016601e+08 4.2476620266113406e+08 4.2488569469016075e+08 4.2502302770645660e+08 4.2518183863198549e+08 4.2536631655930930e+08 4.2558132773001039e+08 4.2583244645226604e+08 4.2612612744266772e+08 4.2647312860576260e+08 4.2689210062703872e+08 4.2739457110711718e+08 4.2798575754225248e+08 4.2867640747595763e+08 4.2948141871952444e+08 4.3041788490057665e+08 4.3150477944614208e+08 4.3276283660587490e+08 4.3421433424452507e+08 4.3588269706599498e+08 4.3779185781798667e+08 4.3996520234200293e+08 4.4242410887755573e+08 4.4518586197249365e+08 4.4826093006587583e+08 4.5164933870481819e+08 4.5562209892574495e+08 4.5989497708281559e+08 4.6438901193562388e+08 4.6898280885249317e+08 4.7350679515800035e+08 4.7774194637157953e+08 4.8142598383899069e+08 4.8426972025484753e+08 4.8598518170202589e+08 4.8631949336074394e+08 4.8509067742281610e+08 4.8224234685391963e+08 4.7786363618782353e+08 4.7213250361070955e+08 4.6532453637586331e+08 4.5777821271696436e+08 4.4982899542603648e+08 4.4178432645493966e+08 4.3388876842043185e+08 4.2634174248165268e+08 4.1925962829904652e+08 4.1273196099339217e+08 4.0678208545874131e+08 4.0143938960899085e+08 3.9668355161479253e+08 3.9248758713120747e+08 3.8883343497969669e+08 3.8567342659013814e+08 3.8295599978168911e+08 3.8064974114010042e+08 3.7869431009078813e+08 3.7706150650715810e+08 3.7570600935896063e+08 3.7459690976037747e+08 3.7368103191135544e+08 3.7290153731974280e+08 3.7222745299306965e+08 3.7162248912000132e+08 3.7104049218198508e+08 3.7062503100966090e+08 3.7020435761802387e+08 3.6977461782176614e+08 3.6932431853897494e+08 3.6885973159026039e+08 3.6836652031840378e+08 3.6786638507197952e+08 3.6730728229417390e+08 3.6670894087353516e+08 3.6606035497657275e+08 3.6535293055848497e+08 3.6457622417980546e+08 3.6371847122427857e+08 3.6276175178489685e+08 3.6171318759905487e+08 3.6052581142636371e+08 3.5919458463582277e+08 3.5770019465322059e+08 3.5602185772081494e+08 3.5413814071164769e+08 3.5202754489872557e+08 3.4966531376842189e+08 3.4705965653580564e+08 3.4415793413049483e+08 3.4097311683311027e+08 3.3751257082516348e+08 3.3380343784526932e+08 3.2989189743892092e+08 3.2586584708971149e+08 3.2185518321887821e+08 3.1807873565237117e+08 3.1479939655575323e+08 3.1244179129997241e+08 3.1159268329033506e+08 3.1310786745435584e+08 3.1822971742294335e+08 3.2884108472385550e+08 3.4792194536828923e+08 3.8050226857114661e+08 1.6253641831348348e+08 +5.7738246082027285e+00 4.2487809187526619e+08 4.2483955924508470e+08 4.2477501789473242e+08 4.2469314639980227e+08 4.2461726058559918e+08 4.2458185420175606e+08 4.2460149324347132e+08 4.2465065551585692e+08 4.2470444423643595e+08 4.2475897164351422e+08 4.2481847302311397e+08 4.2488447900784951e+08 4.2495767069033819e+08 4.2503939455663413e+08 4.2513148557240069e+08 4.2523588141413152e+08 4.2535499328285575e+08 4.2549186892933112e+08 4.2565013185991883e+08 4.2583395530809224e+08 4.2604818685456246e+08 4.2629837848416847e+08 4.2659095441330832e+08 4.2693662038640696e+08 4.2735396711609864e+08 4.2785448888360196e+08 4.2844336750110906e+08 4.2913129437121660e+08 4.2993309677427131e+08 4.3086578543432009e+08 4.3194823729528362e+08 4.3320107466892534e+08 4.3464644592955410e+08 4.3630762652439982e+08 4.3820837802120394e+08 4.4037189110953891e+08 4.4281932340475059e+08 4.4556771277627885e+08 4.4862725601862669e+08 4.5199768567573315e+08 4.5594804213250148e+08 4.6019494856331974e+08 4.6465909265484482e+08 4.6921880230150068e+08 4.7370436081382245e+08 4.7789680633764911e+08 4.8153420739478046e+08 4.8432807404958934e+08 4.8599150859074819e+08 4.8627305857448155e+08 4.8499241241485280e+08 4.8209486735724199e+08 4.7767103402102667e+08 4.7190001727125609e+08 4.6505802688817072e+08 4.5748362686558151e+08 4.4951193161615163e+08 4.4144973272914559e+08 4.3354081137670904e+08 4.2598376495581549e+08 4.1889425707878220e+08 4.1236118228602445e+08 4.0640740977918380e+08 4.0106191126903683e+08 3.9630409111181056e+08 3.9210675819450605e+08 3.8845167515285838e+08 3.8529108428105450e+08 3.8257335826307690e+08 3.8026701369219941e+08 3.7831169970025343e+08 3.7667915632767749e+08 3.7532403966251397e+08 3.7421539502876151e+08 3.7330002490243083e+08 3.7252108690821487e+08 3.7184756753151453e+08 3.7124316172470915e+08 3.7066173623727471e+08 3.7024669397062635e+08 3.6982644828802186e+08 3.6939714694247866e+08 3.6894730765889871e+08 3.6848319547696114e+08 3.6799049062169224e+08 3.6749085943199402e+08 3.6693232797493720e+08 3.6633459792717916e+08 3.6568667468939710e+08 3.6497997298883694e+08 3.6420406004695880e+08 3.6334718325610560e+08 3.6239144334494525e+08 3.6134394315082270e+08 3.6015777962702107e+08 3.5882791232437080e+08 3.5733504838140458e+08 3.5565842525695384e+08 3.5377663170237482e+08 3.5166819093638265e+08 3.4930837397537106e+08 3.4670537046459025e+08 3.4380661071282506e+08 3.4062504504849714e+08 3.3716803213455260e+08 3.3346268600201321e+08 3.2955513905520886e+08 3.2553319905125117e+08 3.2152663188745940e+08 3.1775403373012793e+08 3.1447804275057459e+08 3.1212284468209350e+08 3.1127460597017711e+08 3.1278824392914361e+08 3.1790486492147231e+08 3.2850539947547913e+08 3.4756678469453788e+08 3.8011384091848850e+08 1.6214659323960811e+08 +5.7787929309769863e+00 4.2534615354684323e+08 4.2530756595628953e+08 4.2524292893627149e+08 4.2516093117327642e+08 4.2508490744466937e+08 4.2504939584773976e+08 4.2506897969928354e+08 4.2511810551098108e+08 4.2517184218957454e+08 4.2522629159812856e+08 4.2528568891315669e+08 4.2535156117543012e+08 4.2542458376746851e+08 4.2550609701381141e+08 4.2559792925492591e+08 4.2570201013901585e+08 4.2582074114815128e+08 4.2595715863763952e+08 4.2611487267980248e+08 4.2629804062536722e+08 4.2651149137096190e+08 4.2676075454966557e+08 4.2705222384951490e+08 4.2739655280864406e+08 4.2781227206387824e+08 4.2831084251129383e+08 4.2889741027051008e+08 4.2958261056999314e+08 4.3038120010504949e+08 4.3131010663825768e+08 4.3238811057921749e+08 4.3363572225505447e+08 4.3507496052058101e+08 4.3672895156562012e+08 4.3862128581469429e+08 4.4077495890463114e+08 4.4321090801250237e+08 4.4594592463394648e+08 4.4898993438582492e+08 4.5234237748830211e+08 4.5627032432124996e+08 4.6049125709803706e+08 4.6492551454388613e+08 4.6945114974331456e+08 4.7389830517151231e+08 4.7804808513728476e+08 4.8163890890868747e+08 4.8438298701224828e+08 4.8599449989435494e+08 4.8622341763704282e+08 4.8489109271525407e+08 4.8194450211873078e+08 4.7747572609927803e+08 4.7166500875658464e+08 4.6478917517876434e+08 4.5718686904660064e+08 4.4919285216215980e+08 4.4111326345430022e+08 4.3319110203798729e+08 4.2562414214107150e+08 4.1852733264126867e+08 4.1198892911733711e+08 4.0603132674700993e+08 4.0068308257924271e+08 3.9592332852661705e+08 3.9172466788170528e+08 3.8806868808518565e+08 3.8490754311883104e+08 3.8218954127531904e+08 3.7988312976538503e+08 3.7792794797518271e+08 3.7629567664353675e+08 3.7494094945969695e+08 3.7383276643842953e+08 3.7291790886792123e+08 3.7213953096700966e+08 3.7146657914798975e+08 3.7086273349401546e+08 3.7028188129307687e+08 3.6986725918897915e+08 3.6944744246965301e+08 3.6901858084911758e+08 3.6856920289654958e+08 3.6810556685525346e+08 3.6761336986312854e+08 3.6711424424282765e+08 3.6655628575953281e+08 3.6595916885403723e+08 3.6531191019359261e+08 3.6460593330305386e+08 3.6383081609583205e+08 3.6297481800748354e+08 3.6202006044418103e+08 3.6097362737804562e+08 3.5978868001749581e+08 3.5846017614252257e+08 3.5696884266268331e+08 3.5529393831465644e+08 3.5341407379116750e+08 3.5130779432093352e+08 3.4895039851216340e+08 3.4635005647059381e+08 3.4345426796406001e+08 3.4027596336300558e+08 3.3682249379015058e+08 3.3312094548845237e+08 3.2921740358393842e+08 3.2519958584708661e+08 3.2119712725725514e+08 3.1742838972146016e+08 3.1415575656907082e+08 3.1180297266828543e+08 3.1095560575688654e+08 3.1246769302079827e+08 3.1757906986895114e+08 3.2816874024961323e+08 3.4721059351631039e+08 3.7972428630491513e+08 1.6175735628597897e+08 +5.7837612537512442e+00 4.2581067109831649e+08 4.2577202616252404e+08 4.2570729723188108e+08 4.2562517149319690e+08 4.2554901174913263e+08 4.2551339523252285e+08 4.2553292378909701e+08 4.2558201274898112e+08 4.2563569695303661e+08 4.2569006797275317e+08 4.2574936080488235e+08 4.2581509890095609e+08 4.2588795192361450e+08 4.2596925403291583e+08 4.2606082693536174e+08 4.2616459224064022e+08 4.2628294169867414e+08 4.2641890025259811e+08 4.2657606452419645e+08 4.2675857595675468e+08 4.2697124474081969e+08 4.2721957812868679e+08 4.2750993925182325e+08 4.2785292939942420e+08 4.2826701902835983e+08 4.2876363558490676e+08 4.2934788949039394e+08 4.3003035976465678e+08 4.3082573246492398e+08 4.3175085233826047e+08 4.3282440320673561e+08 4.3406678337154704e+08 4.3549988214107734e+08 4.3714667644543397e+08 4.3903058560964364e+08 4.4117441031870723e+08 4.4359886750002104e+08 4.4632050258347160e+08 4.4934897047914916e+08 4.5268341976522177e+08 4.5658895149459177e+08 4.6078390911705351e+08 4.6518828451060814e+08 4.6967985860864186e+08 4.7408863622204334e+08 4.7819579134563100e+08 4.8174009754308820e+08 4.8443446886901259e+08 4.8599416584864354e+08 4.8617058120727056e+08 4.8478672928996408e+08 4.8179126227870595e+08 4.7727772359751564e+08 4.7142748915067101e+08 4.6451799213423318e+08 4.5688794987038982e+08 4.4887176735590422e+08 4.4077492858434939e+08 4.3283965002252263e+08 4.2526288333678991e+08 4.1815886399243343e+08 4.1161521022995394e+08 4.0565384487038809e+08 4.0030291184231555e+08 3.9554127198469567e+08 3.9134132416515857e+08 3.8768448161924285e+08 3.8452281083631849e+08 3.8180455645924133e+08 3.7949809692469645e+08 3.7754306241888857e+08 3.7591107490766734e+08 3.7455674616539347e+08 3.7344903137332141e+08 3.7253469116799772e+08 3.7175687683833724e+08 3.7108449517002952e+08 3.7048121174267709e+08 3.6990093465308136e+08 3.6948673395930499e+08 3.6906734744946873e+08 3.6863892681974375e+08 3.6819001152146995e+08 3.6772685298513603e+08 3.6723516529303205e+08 3.6673654674475908e+08 3.6617916287776166e+08 3.6558266087202466e+08 3.6493606869422925e+08 3.6423081869259351e+08 3.6345649950228733e+08 3.6260138263710433e+08 3.6164761022267485e+08 3.6060224740030515e+08 3.5941851969381183e+08 3.5809138316053116e+08 3.5660158453810835e+08 3.5492840390142924e+08 3.5305047394847894e+08 3.5094636198125672e+08 3.4859139426127774e+08 3.4599372138511479e+08 3.4310091265805632e+08 3.3992587848810029e+08 3.3647596243534678e+08 3.3277822287454432e+08 3.2887869751832026e+08 3.2486501389155310e+08 3.2086667566301972e+08 3.1710180988686997e+08 3.1383254420761073e+08 3.1148218140853775e+08 3.1063568878372622e+08 3.1214622089192522e+08 3.1725233852944684e+08 3.2783111351856202e+08 3.4685337868175560e+08 3.7933361221962601e+08 1.6136870826192909e+08 +5.7887295765255020e+00 4.2627164392221671e+08 4.2623294181664634e+08 4.2616812312208092e+08 4.2608587130136132e+08 4.2600957694191706e+08 4.2597385576862228e+08 4.2599332892742407e+08 4.2604238064429098e+08 4.2609601194774884e+08 4.2615030419016361e+08 4.2620949212491435e+08 4.2627509561336273e+08 4.2634777859151709e+08 4.2642886905202949e+08 4.2652018205705529e+08 4.2662363116911322e+08 4.2674159839279091e+08 4.2687709724156940e+08 4.2703371087185669e+08 4.2721556479400414e+08 4.2742745047080141e+08 4.2767485274544525e+08 4.2796410416748619e+08 4.2830575373161173e+08 4.2871821161269534e+08 4.2921287174592423e+08 4.2979480884612924e+08 4.3047454569238180e+08 4.3126669765289217e+08 4.3218802640459317e+08 4.3325711913289148e+08 4.3449426207073843e+08 4.3592121495681643e+08 4.3756080546424490e+08 4.3943628186120319e+08 4.4157024998625308e+08 4.4398320670837915e+08 4.4669145170456022e+08 4.4970436965096372e+08 4.5302081816909564e+08 4.5690392969395703e+08 4.6107291108933979e+08 4.6544740949872112e+08 4.6990493636087734e+08 4.7427536198621845e+08 4.7833993356370407e+08 4.8183778248343450e+08 4.8448252936527824e+08 4.8599051670426381e+08 4.8611455995332676e+08 4.8467933311026192e+08 4.8163515897686881e+08 4.7707703768843842e+08 4.7118746952927697e+08 4.6424448862963438e+08 4.5658687993779492e+08 4.4854868747555661e+08 4.4043473805862421e+08 4.3248646493360412e+08 4.2489999782801312e+08 4.1778886012317973e+08 4.1124003435021108e+08 4.0527497264218789e+08 3.9992140734625995e+08 3.9515792959613305e+08 3.9095673500209087e+08 3.8729906358232814e+08 3.8413689515062827e+08 3.8141841144048744e+08 3.7911192272012663e+08 3.7715705051925701e+08 3.7552535855860656e+08 3.7417143717826223e+08 3.7306419720310426e+08 3.7215037914943165e+08 3.7137313184989411e+08 3.7070132291099900e+08 3.7009860377165812e+08 3.6951890360560095e+08 3.6910512556212270e+08 3.6868617050019646e+08 3.6825819211800748e+08 3.6780974078864169e+08 3.6734706111265475e+08 3.6685588414785963e+08 3.6635777416438013e+08 3.6580096654484969e+08 3.6520508118469959e+08 3.6455915738209289e+08 3.6385463633414614e+08 3.6308111742776281e+08 3.6222688429022050e+08 3.6127409980645531e+08 3.6022981032322443e+08 3.5904730573789412e+08 3.5772154043435138e+08 3.5623328103391856e+08 3.5456182901087481e+08 3.5268583913124853e+08 3.5058390083229065e+08 3.4823136809152347e+08 3.4563637202521646e+08 3.4274655155589908e+08 3.3957479712184179e+08 3.3612844470011407e+08 3.3243452471785229e+08 3.2853902733876777e+08 3.2452948958589232e+08 3.2053528342753172e+08 3.1677430047483969e+08 3.1350841185025424e+08 3.1116047704055905e+08 3.1031486117178577e+08 3.1182383369341952e+08 3.1692467715397912e+08 3.2749252574236202e+08 3.4649514702506542e+08 3.7894182613704330e+08 1.6098064996579704e+08 +5.7936978992997599e+00 4.2672908115973675e+08 4.2669032192012954e+08 4.2662541237497652e+08 4.2654303428203571e+08 4.2646660653827119e+08 4.2643078091562092e+08 4.2645019857271874e+08 4.2649921265707397e+08 4.2655279064109462e+08 4.2660700371962178e+08 4.2666608634395039e+08 4.2673155478756207e+08 4.2680406725056809e+08 4.2688494555435205e+08 4.2697599810991019e+08 4.2707913042040193e+08 4.2719671473391354e+08 4.2733175311807346e+08 4.2748781524681836e+08 4.2766901067452508e+08 4.2788011211343670e+08 4.2812658197131628e+08 4.2841472218830806e+08 4.2875502942230874e+08 4.2916585346591902e+08 4.2965855468088025e+08 4.3023817206869334e+08 4.3091517213628495e+08 4.3170409951220226e+08 4.3262163275162333e+08 4.3368626235575092e+08 4.3491816244963050e+08 4.3633896317906356e+08 4.3797134296607631e+08 4.3983837906782484e+08 4.4196248258444190e+08 4.4436393052148956e+08 4.4705877711850417e+08 4.5005613729440475e+08 4.5335457840290552e+08 4.5721526499866664e+08 4.6135826951908958e+08 4.6570289648591423e+08 4.7012639049672550e+08 4.7445849051462716e+08 4.7848052041993165e+08 4.8193197293723118e+08 4.8452717826498133e+08 4.8598356272534549e+08 4.8605536455336773e+08 4.8456891515162367e+08 4.8147620335463905e+08 4.7687367953994542e+08 4.7094496096245611e+08 4.6396867553135079e+08 4.5628366983629495e+08 4.4822362278683573e+08 4.4009270180231369e+08 4.3213155635949576e+08 4.2453549488283467e+08 4.1741733000900549e+08 4.1086341018936908e+08 4.0489471853904843e+08 3.9953857736280549e+08 3.9477330945544606e+08 3.9057090833477771e+08 3.8691244178634799e+08 3.8374980376432103e+08 3.8103111382997149e+08 3.7872461468649966e+08 3.7676991974949962e+08 3.7513853502005100e+08 3.7378502988361359e+08 3.7267827128217781e+08 3.7176498014292103e+08 3.7098830331524491e+08 3.7031706966905916e+08 3.6971491686637861e+08 3.6913579542501372e+08 3.6872244126363611e+08 3.6830391887909067e+08 3.6787638399338812e+08 3.6742839793819350e+08 3.6696619846878141e+08 3.6647553364890170e+08 3.6597793371342081e+08 3.6542170396120363e+08 3.6482643698073536e+08 3.6418118343394142e+08 3.6347739339013052e+08 3.6270467701986057e+08 3.6185133009697127e+08 3.6089953630733413e+08 3.5985632323771763e+08 3.5867504521788996e+08 3.5735065500554162e+08 3.5586393916240644e+08 3.5419422062271720e+08 3.5232017628195167e+08 3.5022041777569747e+08 3.4787032685799623e+08 3.4527801519517618e+08 3.4239119140384185e+08 3.3922272594852751e+08 3.3577994720106959e+08 3.3208985756202644e+08 3.2819839951261747e+08 3.2419301931836993e+08 3.2020295686061424e+08 3.1644586772088802e+08 3.1318336566794181e+08 3.1083786568908221e+08 3.0999312902907723e+08 3.1150053756368494e+08 3.1659609198156250e+08 3.2715298336758167e+08 3.4613590536766016e+08 3.7854893551660168e+08 1.6059318218497491e+08 +5.7986662220740177e+00 4.2718298034755981e+08 4.2714416833992535e+08 4.2707916717661685e+08 4.2699666426949984e+08 4.2692010406889004e+08 4.2688417418669295e+08 4.2690353622738224e+08 4.2695251229131794e+08 4.2700603654403484e+08 4.2706017007494491e+08 4.2711914697964370e+08 4.2718447994422030e+08 4.2725682142455488e+08 4.2733748706946141e+08 4.2742827862836808e+08 4.2753109353574544e+08 4.2764829427156365e+08 4.2778287144067943e+08 4.2793838121863192e+08 4.2811891718050432e+08 4.2832923326656544e+08 4.2857476942149228e+08 4.2886179695151687e+08 4.2920076013458288e+08 4.2960994828240007e+08 4.3010068812045026e+08 4.3067798293334985e+08 4.3135224292282170e+08 4.3213794193085814e+08 4.3305167533984131e+08 4.3411183691897756e+08 4.3533848864877200e+08 4.3675313106280768e+08 4.3837829333795458e+08 4.4023688177062815e+08 4.4235111283290243e+08 4.4474104386520380e+08 4.4742248398816675e+08 4.5040427884370178e+08 4.5368470620844549e+08 4.5752296352639258e+08 4.6163999094823945e+08 4.6595475248552459e+08 4.7034422854464477e+08 4.7463802988793641e+08 4.7861756056830418e+08 4.8202267813573641e+08 4.8456842535064709e+08 4.8597331419032538e+08 4.8599300569441807e+08 4.8445548639447099e+08 4.8131440655172253e+08 4.7666766031691760e+08 4.7069997451254886e+08 4.6369056369538158e+08 4.5597833014140487e+08 4.4789658354079705e+08 4.3974882972567159e+08 4.3177493387330484e+08 4.2416938375554997e+08 4.1704428261004281e+08 4.1048534644354028e+08 4.0451309102297080e+08 3.9915443014907795e+08 3.9438741964186090e+08 3.9018385208956856e+08 3.8652462402776545e+08 3.8336154436446208e+08 3.8064267122274649e+08 3.7833618034384072e+08 3.7638167756812471e+08 3.7475061170101601e+08 3.7339753165108716e+08 3.7229126095009309e+08 3.7137850146551245e+08 3.7060239853201187e+08 3.6993174272759670e+08 3.6933015829786384e+08 3.6875161737067324e+08 3.6833868831464285e+08 3.6792059982906866e+08 3.6749350968003052e+08 3.6704599019612449e+08 3.6658427227021039e+08 3.6609412100338465e+08 3.6559703258877456e+08 3.6504138231333166e+08 3.6444673543507570e+08 3.6380215401107693e+08 3.6309909700853831e+08 3.6232718541109586e+08 3.6147472717343855e+08 3.6052392682252663e+08 3.5948179322038156e+08 3.5830174518689245e+08 3.5697873390152222e+08 3.5549356592164189e+08 3.5382558570197940e+08 3.5195349232877213e+08 3.4985591969856715e+08 3.4750827740180653e+08 3.4491865768468511e+08 3.4203483893574423e+08 3.3886967163969189e+08 3.3543047654135847e+08 3.3174422793787605e+08 3.2785682049395591e+08 3.2385560946444947e+08 3.1986970225888467e+08 3.1611651784820241e+08 3.1285741182021594e+08 3.1051435346732962e+08 3.0967049845217156e+08 3.1117633862814236e+08 3.1626658923783839e+08 3.2681249282794273e+08 3.4577566051590705e+08 3.7815494780255210e+08 1.6020630569595537e+08 +5.8036345448482756e+00 4.2763335098986477e+08 4.2759448650155723e+08 4.2752939473971474e+08 4.2744676561733389e+08 4.2737007303470844e+08 4.2733403914733112e+08 4.2735334543653548e+08 4.2740228309661639e+08 4.2745575321417540e+08 4.2750980681604803e+08 4.2756867759336066e+08 4.2763387464747626e+08 4.2770604468251073e+08 4.2778649717128086e+08 4.2787702719228166e+08 4.2797952410206056e+08 4.2809634060009229e+08 4.2823045581283557e+08 4.2838541240191764e+08 4.2856528793978715e+08 4.2877481757268739e+08 4.2901941875734067e+08 4.2930533213941455e+08 4.2964294957649565e+08 4.3005049980090725e+08 4.3053927584152079e+08 4.3111424525972944e+08 4.3178576192434984e+08 4.3256822884173614e+08 4.3347815817266595e+08 4.3453384690918022e+08 4.3575524485269475e+08 4.3716372290561819e+08 4.3878166101053262e+08 4.4063179455354458e+08 4.4273614549371445e+08 4.4511455170701331e+08 4.4778257751687443e+08 4.5074879977192444e+08 4.5401120736677253e+08 4.5782703143276525e+08 4.6191808195446503e+08 4.6620298454444438e+08 4.7055845806480986e+08 4.7481398821525663e+08 4.7875106269037205e+08 4.8210990733151066e+08 4.8460628042263889e+08 4.8595978139180636e+08 4.8592749407165998e+08 4.8433905782382149e+08 4.8114977970975643e+08 4.7645899117948598e+08 4.7045252123396963e+08 4.6341016396788239e+08 4.5567087141666102e+08 4.4756757997562325e+08 4.3940313172510004e+08 4.3141660703330100e+08 4.2380167368434685e+08 4.1666972687068760e+08 4.1010585179263002e+08 4.0413009853912765e+08 3.9876897394617051e+08 3.9400026821933472e+08 3.8979557417765969e+08 3.8613561808833432e+08 3.8297212462303489e+08 3.8025309119952917e+08 3.7794662719699484e+08 3.7599233141792846e+08 3.7436159599543822e+08 3.7300894983552128e+08 3.7190317353194600e+08 3.7099095041841477e+08 3.7021542478393680e+08 3.6954534935547066e+08 3.6894433532235205e+08 3.6836637668653309e+08 3.6795387395180893e+08 3.6753622057805991e+08 3.6710957639781648e+08 3.6666252477304292e+08 3.6620128971875900e+08 3.6571165340329206e+08 3.6521507797297484e+08 3.6466000877270871e+08 3.6406598370742083e+08 3.6342207626076752e+08 3.6271975432281733e+08 3.6194864972004360e+08 3.6109708262109917e+08 3.6014727843495166e+08 3.5910622733385366e+08 3.5792741268436116e+08 3.5660578413555336e+08 3.5512216829627341e+08 3.5345593120027804e+08 3.5158579418682593e+08 3.4949041347417301e+08 3.4714522654992741e+08 3.4455830627016586e+08 3.4167750087084419e+08 3.3851564085195130e+08 3.3508003931093258e+08 3.3139764236277008e+08 3.2751429672380096e+08 3.2351726638658756e+08 3.1953552590687883e+08 3.1578625706731373e+08 3.1253055645256895e+08 3.1018994647527397e+08 3.0934697552469963e+08 3.1085124300067848e+08 3.1593617513639235e+08 3.2647106054382187e+08 3.4541441926356167e+08 3.7775987042414010e+08 1.5982002126438016e+08 +5.8086028676225334e+00 4.2808019081297302e+08 4.2804127643082184e+08 4.2797609147192293e+08 4.2789334148375207e+08 4.2781651693000704e+08 4.2778037940315181e+08 4.2779962979052788e+08 4.2784852866745096e+08 4.2790194425316167e+08 4.2795591754643750e+08 4.2801468179194111e+08 4.2807974250769877e+08 4.2815174063876319e+08 4.2823197947926152e+08 4.2832224742673695e+08 4.2842442575027984e+08 4.2854085735884517e+08 4.2867450988294786e+08 4.2882891245587945e+08 4.2900812662387007e+08 4.2921686871990174e+08 4.2946053368415534e+08 4.2974533147871739e+08 4.3008160150018227e+08 4.3048751180471778e+08 4.3097432166400617e+08 4.3154696291308153e+08 4.3221573305724776e+08 4.3299496422168350e+08 4.3390108529719973e+08 4.3495229645771706e+08 4.3616843528967780e+08 4.3757074304909992e+08 4.3918145045672792e+08 4.4102312204334539e+08 4.4311758537067860e+08 4.4548445905562848e+08 4.4813906294930828e+08 4.5108970559316283e+08 4.5433408769775474e+08 4.5812747491096276e+08 4.6219254915103829e+08 4.6644759974423116e+08 4.7076908664947414e+08 4.7498637363564509e+08 4.7888103549129587e+08 4.8219366980005741e+08 4.8464075329911155e+08 4.8594297463494653e+08 4.8585884039020056e+08 4.8421964042716205e+08 4.8098233396775514e+08 4.7624768328341055e+08 4.7020261217355454e+08 4.6312748718367553e+08 4.5536130421351731e+08 4.4723662231517893e+08 4.3905561768142468e+08 4.3105658538240790e+08 4.2343237389170706e+08 4.1629367171879476e+08 4.0972493490065658e+08 4.0374574951871777e+08 3.9838221697962844e+08 3.9361186323574877e+08 3.8940608249497545e+08 3.8574543173413372e+08 3.8258155219694012e+08 3.7986238132517540e+08 3.7755596273566002e+08 3.7560188872722840e+08 3.7397149528161490e+08 3.7261929177653742e+08 3.7151401633750975e+08 3.7060233428841722e+08 3.6982738933981973e+08 3.6915789680670398e+08 3.6855745518111169e+08 3.6798008060289824e+08 3.6756800539626980e+08 3.6715078833960789e+08 3.6672459135140991e+08 3.6627800886537784e+08 3.6581725800161231e+08 3.6532813802662838e+08 3.6483207703375316e+08 3.6427759049625993e+08 3.6368418894314522e+08 3.6304095731601536e+08 3.6233937245184803e+08 3.6156907704991686e+08 3.6071840352693951e+08 3.5976959821295124e+08 3.5872963262546110e+08 3.5755205473475331e+08 3.5623181270643795e+08 3.5474975325558281e+08 3.5308526405428392e+08 3.5121708875590098e+08 3.4912390596132612e+08 3.4678118111540037e+08 3.4419696771407634e+08 3.4131918391523957e+08 3.3816064022933316e+08 3.3472864208629525e+08 3.3105010734071177e+08 3.2717083463036466e+08 3.2317799643404573e+08 3.1920043407570094e+08 3.1545509157532495e+08 3.1220280569928622e+08 3.0986465080080801e+08 3.0902256631815070e+08 3.1052525678181392e+08 3.1560485587780356e+08 3.2612869292252463e+08 3.4505218838938826e+08 3.7736371079508370e+08 1.5943432964508709e+08 +5.8135711903967913e+00 4.2852350840791798e+08 4.2848453663430637e+08 4.2841926522805971e+08 4.2833639533544141e+08 4.2825943928563488e+08 4.2822319858650523e+08 4.2824239292522508e+08 4.2829125264378887e+08 4.2834461330742395e+08 4.2839850591589004e+08 4.2845716322745985e+08 4.2852208718020761e+08 4.2859391295226610e+08 4.2867393765636551e+08 4.2876394300098801e+08 4.2886580215642130e+08 4.2898184823119032e+08 4.2911503734446436e+08 4.2926888508470064e+08 4.2944743695054513e+08 4.2965539043969542e+08 4.2989811795176113e+08 4.3018179874069947e+08 4.3051671970218861e+08 4.3092098812130553e+08 4.3140582945306540e+08 4.3197613980141109e+08 4.3264216028085744e+08 4.3341815209057671e+08 4.3432046080613071e+08 4.3536718973813283e+08 4.3657806423024112e+08 4.3797419587764698e+08 4.3957766619271559e+08 4.4141086890873134e+08 4.4349543731003678e+08 4.4585077096125853e+08 4.4849194556953996e+08 4.5142700186044967e+08 4.5465335306033587e+08 4.5842430019134110e+08 4.6246339918708158e+08 4.6668860519937259e+08 4.7097612192204958e+08 4.7515519431524426e+08 4.7900748770242107e+08 4.8227397483715916e+08 4.8467185381604522e+08 4.8592290423757631e+08 4.8578705536249858e+08 4.8409724519740433e+08 4.8081208046620649e+08 4.7603374778068811e+08 4.6995025837034267e+08 4.6284254416835862e+08 4.5504963907014912e+08 4.4690372077034557e+08 4.3870629746120924e+08 4.3069487844766682e+08 4.2306149358432013e+08 4.1591612606712925e+08 4.0934260441594964e+08 4.0336005237502080e+08 3.9799416745951837e+08 3.9322221272383887e+08 3.8901538492205298e+08 3.8535407271578598e+08 3.8218983472698772e+08 3.7947054914998841e+08 3.7716419443399727e+08 3.7521035690902209e+08 3.7358031692341024e+08 3.7222856479926282e+08 3.7112379666144240e+08 3.7021266034738016e+08 3.6943829945277977e+08 3.6876939232013577e+08 3.6816952510065752e+08 3.6759273633438838e+08 3.6718108985508132e+08 3.6676431031223214e+08 3.6633856173137796e+08 3.6589244965418309e+08 3.6543218429137039e+08 3.6494358203559494e+08 3.6444803692429012e+08 3.6389413462602383e+08 3.6330135827231306e+08 3.6265880429411590e+08 3.6195795849958503e+08 3.6118847449003255e+08 3.6033869696338058e+08 3.5939089321048397e+08 3.5835201612939632e+08 3.5717567834850711e+08 3.5585682659852594e+08 3.5437632775475430e+08 3.5271359118689489e+08 3.5084738292223907e+08 3.4875640400548047e+08 3.4641614789791965e+08 3.4383464876439828e+08 3.4095989476045328e+08 3.3780467640222335e+08 3.3437629142988479e+08 3.3070162936262929e+08 3.2682644062770128e+08 3.2283780594359481e+08 3.1886443302376449e+08 3.1512302755775881e+08 3.1187416568155354e+08 3.0953847251932847e+08 3.0869727689124060e+08 3.1019838605967021e+08 3.1527263764988202e+08 3.2578539635889417e+08 3.4468897465846843e+08 3.7696647631425911e+08 1.5904923158215761e+08 +5.8185395131710491e+00 4.2896330484721422e+08 4.2892428271922904e+08 4.2885892292733133e+08 4.2877593063958848e+08 4.2869884367375487e+08 4.2866250035469252e+08 4.2868163852063501e+08 4.2873045871290791e+08 4.2878376406733942e+08 4.2883757561688095e+08 4.2889612559531170e+08 4.2896091236372340e+08 4.2903256532580090e+08 4.2911237541157156e+08 4.2920211762857944e+08 4.2930365704108590e+08 4.2941931694539684e+08 4.2955204193422496e+08 4.2970533403640729e+08 4.2988322268044931e+08 4.3009038650873280e+08 4.3033217535453415e+08 4.3061473774094218e+08 4.3094830802406234e+08 4.3135093262271631e+08 4.3183380311713570e+08 4.3240177987678760e+08 4.3306504759916466e+08 4.3383779651294875e+08 4.3473628883277828e+08 4.3577853096856517e+08 4.3698413598895264e+08 4.3837408581795478e+08 4.3997031277655178e+08 4.4179503986039966e+08 4.4386970619842392e+08 4.4621349251428109e+08 4.4884123070304525e+08 4.5176069416631478e+08 4.5496900935067832e+08 4.5871751354098707e+08 4.6273063874780858e+08 4.6692600805797088e+08 4.7117957153694648e+08 4.7532045844972980e+08 4.7913042808120269e+08 4.8235083176100641e+08 4.8469959182633680e+08 4.8589958053201306e+08 4.8571214971036470e+08 4.8397188313015389e+08 4.8063903034302318e+08 4.7581719581734085e+08 4.6969547085537761e+08 4.6255534573571277e+08 4.5473588651274866e+08 4.4656888553689754e+08 4.3835518091555291e+08 4.3033149574092633e+08 4.2268904195379716e+08 4.1553709881317490e+08 4.0895886897099847e+08 4.0297301550716776e+08 3.9760483357913983e+08 3.9283132470030493e+08 3.8862348932303643e+08 3.8496154876824671e+08 3.8179697983929962e+08 3.7907760220821720e+08 3.7677132975151259e+08 3.7481774336078590e+08 3.7318806826925349e+08 3.7183677621340901e+08 3.7073252178352797e+08 3.6982193585167223e+08 3.6904816236156362e+08 3.6837984311959732e+08 3.6778055229227614e+08 3.6720435108115554e+08 3.6679313451968092e+08 3.6637679367943656e+08 3.6595149471266580e+08 3.6550585430648774e+08 3.6504607574518842e+08 3.6455799257855785e+08 3.6406296478256041e+08 3.6350964828928494e+08 3.6291749881102312e+08 3.6227562429859155e+08 3.6157551955529499e+08 3.6080684911479425e+08 3.5995796998791659e+08 3.5901117046650070e+08 3.5797338486369663e+08 3.5679829052130735e+08 3.5548083278178751e+08 3.5400189873523545e+08 3.5234091950636691e+08 3.5047668355750072e+08 3.4838791443764591e+08 3.4605013368188822e+08 3.4347135615578657e+08 3.4059964008519012e+08 3.3744775598666495e+08 3.3402299389108843e+08 3.3035221490552992e+08 3.2648112111757773e+08 3.2249670123762077e+08 3.1852752899650896e+08 3.1479007118603772e+08 3.1154464250757635e+08 3.0921141769354022e+08 3.0837111329014826e+08 3.0987063691022152e+08 3.1493952662773085e+08 3.2544117723281294e+08 3.4432478482282227e+08 3.7656817436486292e+08 1.5866472780896473e+08 +5.8235078359453070e+00 4.2939958775102329e+08 4.2936051163734967e+08 4.2929506328470838e+08 4.2921195157450598e+08 4.2913473375243598e+08 4.2909828839747995e+08 4.2911737030479205e+08 4.2916615060572416e+08 4.2921940026836085e+08 4.2927313038747704e+08 4.2933157263611650e+08 4.2939622180123425e+08 4.2946770150664562e+08 4.2954729649654007e+08 4.2963677506737548e+08 4.2973799416853929e+08 4.2985326727368563e+08 4.2998552743375349e+08 4.3013826310284442e+08 4.3031548761872000e+08 4.3052186074708092e+08 4.3076270973082674e+08 4.3104415233829266e+08 4.3137637034976596e+08 4.3177734922401059e+08 4.3225824660845989e+08 4.3282388713569611e+08 4.3348439905911094e+08 4.3425390159607959e+08 4.3514857355531144e+08 4.3618632440897870e+08 4.3738665492268497e+08 4.3877041733919108e+08 4.4035939480830240e+08 4.4217563965022147e+08 4.4424039696452826e+08 4.4657262884621584e+08 4.4918692371366328e+08 4.5209078814219069e+08 4.5528106250371492e+08 4.5900712126375383e+08 4.6299427455215687e+08 4.6715981550169623e+08 4.7137944317960393e+08 4.7548217426215261e+08 4.7924986540770394e+08 4.8242424991064161e+08 4.8472397719968837e+08 4.8587301386047477e+08 4.8563413416154629e+08 4.8384356522425580e+08 4.8046319473575622e+08 4.7559803853564799e+08 4.6943826065120578e+08 4.6226590268911779e+08 4.5442005705413151e+08 4.4623212679653907e+08 4.3800227788147479e+08 4.2996644675861412e+08 4.2231502817447376e+08 4.1515659883717215e+08 4.0857373718232691e+08 4.0258464729790270e+08 3.9721422351703417e+08 3.9243920716649997e+08 3.8823040354695624e+08 3.8456786761124676e+08 3.8140299514472604e+08 3.7868354801890898e+08 3.7637737613181823e+08 3.7442405546507651e+08 3.7279475665243250e+08 3.7144393331311548e+08 3.7034019896817315e+08 3.6943016804287976e+08 3.6865698528955138e+08 3.6798925641386408e+08 3.6739054395239639e+08 3.6681493202745104e+08 3.6640414656728929e+08 3.6598824560985821e+08 3.6556339745571876e+08 3.6511822997324955e+08 3.6465893950561363e+08 3.6417137678835768e+08 3.6367686773185742e+08 3.6312413859854025e+08 3.6253261765997130e+08 3.6189142441752547e+08 3.6119206269429976e+08 3.6042420798341858e+08 3.5957622964398950e+08 3.5863043700531799e+08 3.5759374583255911e+08 3.5641989823430640e+08 3.5510383821141225e+08 3.5362647312275273e+08 3.5196725590669084e+08 3.5010499751957846e+08 3.4801844407377547e+08 3.4568314523849308e+08 3.4310709660849965e+08 3.4023842655292290e+08 3.3708988558514690e+08 3.3366875600557065e+08 3.3000187043322563e+08 3.2613488248759121e+08 3.2215468862711883e+08 3.1818972822630978e+08 3.1445622861995155e+08 3.1121424227299368e+08 3.0888349237321615e+08 3.0804408154840088e+08 3.0954201539652449e+08 3.1460552897344285e+08 3.2509604191295952e+08 3.4395962561825770e+08 3.7616881231502140e+08 1.5828081904821932e+08 +5.8284761587195648e+00 4.2983235879343754e+08 4.2979322924651068e+08 4.2972769327751940e+08 4.2964446113556969e+08 4.2956711337677878e+08 4.2953056645272356e+08 4.2954959205055648e+08 4.2959833210079026e+08 4.2965152568782735e+08 4.2970517400812751e+08 4.2976350813346934e+08 4.2982801927994794e+08 4.2989932528609508e+08 4.2997870470713001e+08 4.3006791911912614e+08 4.3016881734642416e+08 4.3028370303200191e+08 4.3041549766828126e+08 4.3056767612050569e+08 4.3074423561353821e+08 4.3094981701859027e+08 4.3118972496160144e+08 4.3147004643602818e+08 4.3180091060735303e+08 4.3220024188384604e+08 4.3267916392255181e+08 4.3324246561677682e+08 4.3390021875154513e+08 4.3466647148951137e+08 4.3555731919473326e+08 4.3659057436233985e+08 4.3778562543062729e+08 4.3916319495318818e+08 4.4074491693029308e+08 4.4255267307225877e+08 4.4460751457694793e+08 4.4692818512852430e+08 4.4952903000665528e+08 4.5241728945803696e+08 4.5558951849183416e+08 4.5929312969965130e+08 4.6325431335468876e+08 4.6739003474397820e+08 4.7157574456569958e+08 4.7564035000325722e+08 4.7936580848792464e+08 4.8249423864535981e+08 4.8474501982298315e+08 4.8584321457955837e+08 4.8555301945296431e+08 4.8371230248205006e+08 4.8028458478070122e+08 4.7537628707163072e+08 4.6917863877250004e+08 4.6197422582152945e+08 4.5410216119509959e+08 4.4589345471710670e+08 4.3764759817947376e+08 4.2959974098097414e+08 4.2193946140696865e+08 4.1477463500377119e+08 4.0818721765016407e+08 4.0219495611313766e+08 3.9682234543558693e+08 3.9204586810741794e+08 3.8783613542729652e+08 3.8417303694867104e+08 3.8100788823734456e+08 3.7828839408569491e+08 3.7598234100339901e+08 3.7402930058889514e+08 3.7240038939102978e+08 3.7105004337768292e+08 3.6994683546489149e+08 3.6903736414755499e+08 3.6826477544513035e+08 3.6759763939673579e+08 3.6699950726252431e+08 3.6642448634351325e+08 3.6601413315897912e+08 3.6559867325702482e+08 3.6517427710549974e+08 3.6472958379139024e+08 3.6427078270014417e+08 3.6378374178308117e+08 3.6328975288024098e+08 3.6273761265117705e+08 3.6214672190498096e+08 3.6150621172472590e+08 3.6080759497554779e+08 3.6004055814087975e+08 3.5919348295937657e+08 3.5824869983715355e+08 3.5721310602555507e+08 3.5604050845406801e+08 3.5472584982834738e+08 3.5325005782979703e+08 3.5159260726694918e+08 3.4973233165072787e+08 3.4764799971687132e+08 3.4531518932462186e+08 3.4274187682925671e+08 3.3987626081445861e+08 3.3673107178640383e+08 3.3331358429477149e+08 3.2965060239567953e+08 3.2578773111250079e+08 3.2181177440814382e+08 3.1785103693250471e+08 3.1412150600530463e+08 3.1088297106112993e+08 3.0855470259620029e+08 3.0771618768733978e+08 3.0921252756844974e+08 3.1427065083625990e+08 3.2474999675257498e+08 3.4359350376891136e+08 3.7576839751682144e+08 1.5789750601201859e+08 +5.8334444814938227e+00 4.3026161616831052e+08 4.3022243687358600e+08 4.3015681360759807e+08 4.3007346267962927e+08 4.2999598655801314e+08 4.2995933832128507e+08 4.2997830757714927e+08 4.3002700702054232e+08 4.3008014414875811e+08 4.3013371030388188e+08 4.3019193591474634e+08 4.3025630863077313e+08 4.3032744049887288e+08 4.3040660388290250e+08 4.3049555362875193e+08 4.3059613042669839e+08 4.3071062807936203e+08 4.3084195650618917e+08 4.3099357696821779e+08 4.3116947055797809e+08 4.3137425923003894e+08 4.3161322497256094e+08 4.3189242397941560e+08 4.3222193276831210e+08 4.3261961460445791e+08 4.3309655909872144e+08 4.3365751940259331e+08 4.3431251080926627e+08 4.3507551038716036e+08 4.3596253001390094e+08 4.3699128517416269e+08 4.3818105195377654e+08 4.3955242321243566e+08 4.4112688382591677e+08 4.4292614496088141e+08 4.4497106404533511e+08 4.4728016657275760e+08 4.4986755502477330e+08 4.5274020382284456e+08 4.5589438332463259e+08 4.5957554522529405e+08 4.6351076194360191e+08 4.6761667303173679e+08 4.7176848344077587e+08 4.7579499395198447e+08 4.7947826615202516e+08 4.8256080734540278e+08 4.8476272959839344e+08 4.8581019305662560e+08 4.8546881632810426e+08 4.8357810590744299e+08 4.8010321161254776e+08 4.7515195255597240e+08 4.6891661622400403e+08 4.6168032591276222e+08 4.5378220942160821e+08 4.4555287945217907e+08 4.3729115161568230e+08 4.2923138787254989e+08 4.2156235079275280e+08 4.1439121616149253e+08 4.0779931895922869e+08 4.0180395030393106e+08 3.9642920748079967e+08 3.9165131549262154e+08 3.8744069278134084e+08 3.8377706446851611e+08 3.8061166669692457e+08 3.7789214789695626e+08 3.7558623177919209e+08 3.7363348608430141e+08 3.7200497378719532e+08 3.7065511367136675e+08 3.6955243850778168e+08 3.6864353137636524e+08 3.6787154002128381e+08 3.6720499924696720e+08 3.6660744938864833e+08 3.6603302118387538e+08 3.6562310144152820e+08 3.6520808375908113e+08 3.6478414079237646e+08 3.6433992288201493e+08 3.6388161244160551e+08 3.6339509466611189e+08 3.6290162732127017e+08 3.6235007752988106e+08 3.6175981861756974e+08 3.6111999327817315e+08 3.6042212344438499e+08 3.5965590661757535e+08 3.5880973694759840e+08 3.5786596595669955e+08 3.5683147241741073e+08 3.5566012813200450e+08 3.5434687455850661e+08 3.5287265975304580e+08 3.5121698045296770e+08 3.4935869278048456e+08 3.4727658815444916e+08 3.4494627268251801e+08 3.4237570350962222e+08 3.3951314950571221e+08 3.3637132116522527e+08 3.3295748526699477e+08 3.2929841722961563e+08 3.2543967335359883e+08 3.2146796486474073e+08 3.1751146132132089e+08 3.1378590947568512e+08 3.1055083494164515e+08 3.0822505438673109e+08 3.0738743771489155e+08 3.0888217946364325e+08 3.1393489835249859e+08 3.2440304809335381e+08 3.4322642598323488e+08 3.7536693730745679e+08 1.5751478940189198e+08 +5.8384128042680805e+00 4.3068737299195832e+08 4.3064814104686034e+08 4.3058242839862216e+08 4.3049896106543052e+08 4.3042135726369268e+08 4.3038460787291247e+08 4.3040352074779111e+08 4.3045217923277062e+08 4.3050525951650894e+08 4.3055874314230484e+08 4.3061685985101712e+08 4.3068109372696376e+08 4.3075205102257055e+08 4.3083099790685141e+08 4.3091968248514861e+08 4.3101993730422562e+08 4.3113404631884009e+08 4.3126490785937148e+08 4.3141596956924617e+08 4.3159119638661653e+08 4.3179519133262932e+08 4.3203321373137385e+08 4.3231128895856357e+08 4.3263944084713846e+08 4.3303547143090773e+08 4.3351043621768641e+08 4.3406905261771637e+08 4.3472127940734363e+08 4.3548102252407837e+08 4.3636421031884843e+08 4.3738846123143727e+08 4.3857293897526401e+08 4.3993810671230024e+08 4.4150530021956176e+08 4.4329606019132221e+08 4.4533105041980332e+08 4.4762857842996061e+08 4.5020250425021231e+08 4.5305953698279661e+08 4.5619566304904068e+08 4.5985437425261903e+08 4.6376362714205730e+08 4.6783973764352012e+08 4.7195766758077687e+08 4.7594611441265196e+08 4.7958724725262427e+08 4.8262396541106611e+08 4.8477711644565338e+08 4.8577395967051339e+08 4.8538153553762698e+08 4.8344098650819820e+08 4.7991908636376131e+08 4.7492504611495382e+08 4.6865220400340116e+08 4.6138421373369145e+08 4.5346021220854568e+08 4.4521041113974833e+08 4.3693294798057789e+08 4.2886139688254189e+08 4.2118370545990002e+08 4.1400635114282668e+08 4.0741004967702025e+08 4.0141163820368975e+08 3.9603481778296375e+08 3.9125555727523708e+08 3.8704408341050792e+08 3.8337995784350234e+08 3.8021433808681583e+08 3.7749481692480665e+08 3.7518905585650551e+08 3.7323661928696096e+08 3.7160851712859440e+08 3.7025915144226623e+08 3.6915701531556946e+08 3.6824867692553496e+08 3.6747728619556224e+08 3.6681134312755227e+08 3.6621437748161596e+08 3.6564054368777835e+08 3.6523105854672426e+08 3.6481648423934764e+08 3.6439299563112020e+08 3.6394925435183012e+08 3.6349143582721913e+08 3.6300544252489907e+08 3.6251249813340431e+08 3.6196154030224079e+08 3.6137191485313576e+08 3.6073277612175155e+08 3.6003565513050663e+08 3.5927026042776424e+08 3.5842499860708553e+08 3.5748224234410936e+08 3.5644885196782696e+08 3.5527876420548284e+08 3.5396691931355202e+08 3.5249428577586079e+08 3.5084038231438273e+08 3.4898408772253114e+08 3.4690421616005749e+08 3.4457640204015946e+08 3.4200858332776827e+08 3.3914909924894553e+08 3.3601064028262943e+08 3.3260046541644543e+08 3.2894532135761869e+08 3.2509071555803967e+08 3.2112326626645583e+08 3.1717100758560866e+08 3.1344944515142518e+08 3.1021783997185105e+08 3.0789455375679880e+08 3.0705783762666214e+08 3.0855097710679483e+08 3.1359827764534539e+08 3.2405520226240164e+08 3.4285839895566702e+08 3.7496443900827003e+08 1.5713266990884942e+08 +5.8433811270423384e+00 4.3110962793749529e+08 4.3107034180661011e+08 4.3100454306834102e+08 4.3092096037480378e+08 4.3084322932132047e+08 4.3080637904199046e+08 4.3082523546986717e+08 4.3087385264820939e+08 4.3092687569933170e+08 4.3098027643391299e+08 4.3103828385535872e+08 4.3110237848622686e+08 4.3117316077808344e+08 4.3125189070422822e+08 4.3134030961897236e+08 4.3144024191690707e+08 4.3155396169583887e+08 4.3168435568278283e+08 4.3183485788848585e+08 4.3200941707839119e+08 4.3221261731893700e+08 4.3244969524916428e+08 4.3272664540464044e+08 4.3305343890047646e+08 4.3344781645038539e+08 4.3392079940406847e+08 4.3447706942925113e+08 4.3512652876517260e+08 4.3588301217804611e+08 4.3676236445628691e+08 4.3778210696417731e+08 4.3896129101958883e+08 4.4032025008844602e+08 4.4188017087657279e+08 4.4366242367948222e+08 4.4568747879035556e+08 4.4797342599088758e+08 4.5053388320438933e+08 4.5337529472262186e+08 4.5649336374838734e+08 4.6012962322845870e+08 4.6401291580671388e+08 4.6805923588980985e+08 4.7214330479045492e+08 4.7609371971737581e+08 4.7969276066812015e+08 4.8268372226191837e+08 4.8478819029846555e+08 4.8573452481247145e+08 4.8529118783928299e+08 4.8330095529358560e+08 4.7973222016512668e+08 4.7469557886753333e+08 4.6838541309789085e+08 4.6108590004246569e+08 4.5313618001528943e+08 4.4486605990427035e+08 4.3657299704873466e+08 4.2848977744347644e+08 4.2080353451856691e+08 4.1362004876381236e+08 4.0701941835491335e+08 4.0101802813143444e+08 3.9563918445576423e+08 3.9085860139265120e+08 3.8664631510077053e+08 3.8298172472966701e+08 3.7981590995465314e+08 3.7709640862632972e+08 3.7479082061768818e+08 3.7283870751779228e+08 3.7121102668653560e+08 3.6986216392386872e+08 3.6876057309148562e+08 3.6785280797528869e+08 3.6708202113093221e+08 3.6641667818672204e+08 3.6582029867731410e+08 3.6524706097961789e+08 3.6483801159020519e+08 3.6442388180636996e+08 3.6400084872169518e+08 3.6355758529182404e+08 3.6310025993896890e+08 3.6261479243243706e+08 3.6212237237948370e+08 3.6157200802047956e+08 3.6098301765298688e+08 3.6034456728399688e+08 3.5964819704896432e+08 3.5888362657180309e+08 3.5803927492141140e+08 3.5709753596450281e+08 3.5606525162203002e+08 3.5489642359662580e+08 3.5358599098984867e+08 3.5211494276580387e+08 3.5046281968711460e+08 3.4860852327662891e+08 3.4653089049305654e+08 3.4420558411148554e+08 3.4164052294725758e+08 3.3878411665190870e+08 3.3564903568500972e+08 3.3224253122326976e+08 3.2859132118931156e+08 3.2474086406033653e+08 3.2077768487057620e+08 3.1682968190530580e+08 3.1311211913954264e+08 3.0988399219591624e+08 3.0756320670532721e+08 3.0672739340551168e+08 3.0821892650995106e+08 3.1326079482493925e+08 3.2370646557351488e+08 3.4248942936664009e+08 3.7456090992489058e+08 1.5675114821342751e+08 +5.8483494498165962e+00 4.3152838385812318e+08 4.3148904670373267e+08 4.3142316372746938e+08 4.3133946409899902e+08 4.3126160652935070e+08 4.3122465581544983e+08 4.3124345569351733e+08 4.3129203122101927e+08 4.3134499664922243e+08 4.3139831413223690e+08 4.3145621188514042e+08 4.3152016686733830e+08 4.3159077372943294e+08 4.3166928624368966e+08 4.3175743900457066e+08 4.3185704824534357e+08 4.3197037819856429e+08 4.3210030397338939e+08 4.3225024593409866e+08 4.3242413665335774e+08 4.3262654122508425e+08 4.3286267357942045e+08 4.3313849739288199e+08 4.3346393102843690e+08 4.3385665379281193e+08 4.3432765282380474e+08 4.3488157404722673e+08 4.3552826314172840e+08 4.3628148366870624e+08 4.3715699681552047e+08 4.3817222684209192e+08 4.3934611265319657e+08 4.4069885801776409e+08 4.4225150060357010e+08 4.4402524038168818e+08 4.4604035428603673e+08 4.4831471458515197e+08 4.5086169744666833e+08 4.5368748286366051e+08 4.5678749154287672e+08 4.6040129863537425e+08 4.6425863482721615e+08 4.6827517511250407e+08 4.7232540290439880e+08 4.7623781822538406e+08 4.7979481529790252e+08 4.8274008733778548e+08 4.8479596110738957e+08 4.8569189888375854e+08 4.8519778399638993e+08 4.8315802327457029e+08 4.7954262414537489e+08 4.7446356192762929e+08 4.6811625448645312e+08 4.6078539558524054e+08 4.5281012328941590e+08 4.4451983585477889e+08 4.3621130857993025e+08 4.2811653897206450e+08 4.2042184706382060e+08 4.1323231782351077e+08 4.0662743352902055e+08 4.0062312838812554e+08 3.9524231559697008e+08 3.9046045576644582e+08 3.8624739562146920e+08 3.8258237276853597e+08 3.7941638983230704e+08 3.7669693044266456e+08 3.7439153342842549e+08 3.7243975808187056e+08 3.7081250971759778e+08 3.6946415833381754e+08 3.6836311902389365e+08 3.6745593169086707e+08 3.6668575197442108e+08 3.6602101155728978e+08 3.6542522009590352e+08 3.6485258016857159e+08 3.6444396767312992e+08 3.6403028355242884e+08 3.6360770714892882e+08 3.6316492277816302e+08 3.6270809184444541e+08 3.6222315144645000e+08 3.6173125710786563e+08 3.6118148772202241e+08 3.6059313404293400e+08 3.5995537377809942e+08 3.5925975619986999e+08 3.5849601203470099e+08 3.5765257285928971e+08 3.5671185376850402e+08 3.5568067830995691e+08 3.5451311321280748e+08 3.5320409646971190e+08 3.5173463757617635e+08 3.5008429939249092e+08 3.4823200622772443e+08 3.4615661789779234e+08 3.4383382559577698e+08 3.4127152901769173e+08 3.3841820830840439e+08 3.3528651390533501e+08 3.3188368915426815e+08 3.2823642311977911e+08 3.2439012518078232e+08 3.2043122692015707e+08 3.1648749044673294e+08 3.1277393753420323e+08 3.0954929764545017e+08 3.0723101921846342e+08 3.0639611102149200e+08 3.0788603367185360e+08 3.1292245598837268e+08 3.2335684432725698e+08 3.4211952388215083e+08 3.7415635734763688e+08 1.5637022498573661e+08 +5.8533177725908541e+00 4.3194364645725882e+08 4.3190426242970926e+08 4.3183829043943745e+08 4.3175447608273631e+08 4.3167649279669005e+08 4.3163944221658945e+08 4.3165818541073555e+08 4.3170671894688785e+08 4.3175962636032605e+08 4.3181286023335034e+08 4.3187064793878073e+08 4.3193446287338901e+08 4.3200489388272053e+08 4.3208318853658950e+08 4.3217107465835899e+08 4.3227036031249529e+08 4.3238329985741955e+08 4.3251275677146834e+08 4.3266213775673670e+08 4.3283535917550063e+08 4.3303696712908417e+08 4.3327215281768173e+08 4.3354684903940070e+08 4.3387092137238735e+08 4.3426198763065797e+08 4.3473100068582159e+08 4.3528257072279769e+08 4.3592648683929116e+08 4.3667644135685366e+08 4.3754811182813507e+08 4.3855882537772948e+08 4.3972740848284471e+08 4.4107393521846575e+08 4.4261929424668497e+08 4.4438451529374248e+08 4.4638968207637370e+08 4.4865244958105063e+08 4.5118595257447332e+08 4.5399610726592958e+08 4.5707805258829474e+08 4.6066940699115634e+08 4.6450079112743670e+08 4.6848756268482494e+08 4.7250396978565770e+08 4.7637841832054400e+08 4.7989342006527501e+08 4.8279307009750640e+08 4.8480043883704835e+08 4.8564609229655623e+08 4.8510133477959347e+08 4.8301220146474123e+08 4.7935030943063885e+08 4.7422900640256554e+08 4.6784473913800544e+08 4.6048271109639400e+08 4.5248205246403867e+08 4.4417174908504343e+08 4.3584789231689894e+08 4.2774169086859661e+08 4.2003865217234498e+08 4.1284316710506338e+08 4.0623410371711349e+08 4.0022694725915897e+08 3.9484421928831720e+08 3.9006112830095726e+08 3.8584733272624600e+08 3.8218190958435440e+08 3.7901578523641211e+08 3.7629638979890925e+08 3.7399120163922042e+08 3.7203977826897085e+08 3.7041297346206629e+08 3.6906514187400633e+08 3.6796466028483832e+08 3.6705805522188866e+08 3.6628848585754240e+08 3.6562435035619205e+08 3.6502914884262568e+08 3.6445710834788954e+08 3.6404893388108003e+08 3.6363569655563688e+08 3.6321357798187923e+08 3.6277127387112129e+08 3.6231493859530443e+08 3.6183052660938615e+08 3.6133915935094559e+08 3.6078998642903835e+08 3.6020227103346807e+08 3.5956520260260135e+08 3.5887033956759137e+08 3.5810742378628093e+08 3.5726489937424821e+08 3.5632520269103283e+08 3.5529513894679600e+08 3.5412883994658476e+08 3.5282124261964542e+08 3.5135337704553407e+08 3.4970482823664725e+08 3.4785454334596479e+08 3.4578140510437173e+08 3.4346113317802566e+08 3.4090160817368305e+08 3.3805138079804933e+08 3.3492308146244532e+08 3.3152394566193801e+08 3.2788063353047162e+08 3.2403850522629946e+08 3.2008389864518195e+08 3.1614443936341572e+08 3.1243490641615236e+08 3.0921376233825630e+08 3.0689799726942265e+08 3.0606399643105656e+08 3.0755230457843131e+08 3.1258326721948069e+08 3.2300634481004703e+08 3.4174868915355557e+08 3.7375078855035096e+08 1.5598990088550803e+08 +5.8582860953651119e+00 4.3235541576260859e+08 4.3231598313491845e+08 4.3224993083181828e+08 4.3216600014049220e+08 4.3208789219564563e+08 4.3205074230078518e+08 4.3206942865512639e+08 4.3211791986346400e+08 4.3217076886937714e+08 4.3222391877472985e+08 4.3228159605796945e+08 4.3234527054828775e+08 4.3241552528635526e+08 4.3249360163544297e+08 4.3258122063945383e+08 4.3268018218385839e+08 4.3279273074614638e+08 4.3292171815878493e+08 4.3307053744912267e+08 4.3324308874968815e+08 4.3344389915112823e+08 4.3367813710223937e+08 4.3395170450278527e+08 4.3427441411552531e+08 4.3466382217746055e+08 4.3513084724017078e+08 4.3568006374865007e+08 4.3632120420167482e+08 4.3706788964565867e+08 4.3793571396485597e+08 4.3894190712440318e+08 4.4010518315596569e+08 4.4144548644823498e+08 4.4298355669248027e+08 4.4474025345121747e+08 4.4673546736914372e+08 4.4898663638590825e+08 4.5150665422271699e+08 4.5430117382448274e+08 4.5736505307732964e+08 4.6093395484739500e+08 4.6473939166330898e+08 4.6869640601143152e+08 4.7267901332651061e+08 4.7651552841374683e+08 4.7998858391605622e+08 4.8284268001886821e+08 4.8480163346834368e+08 4.8559711547381443e+08 4.8500185096460807e+08 4.8286350087857318e+08 4.7915528714384693e+08 4.7399192339331490e+08 4.6757087801262534e+08 4.6017785729910028e+08 4.5215197795773214e+08 4.4382180967513460e+08 4.3548275798806274e+08 4.2736524251737130e+08 4.1965395890678936e+08 4.1245260537496024e+08 4.0583943742194045e+08 3.9982949301310521e+08 3.9444490359483516e+08 3.8966062688561708e+08 3.8544613415260279e+08 3.8178034278575659e+08 3.7861410366715503e+08 3.7589479410515171e+08 3.7358983258516955e+08 3.7163877535266811e+08 3.7001242514528155e+08 3.6866512173109722e+08 3.6756520403149122e+08 3.6665918570219767e+08 3.6589022989709634e+08 3.6522670168542528e+08 3.6463209200679648e+08 3.6406065259606212e+08 3.6365291728434080e+08 3.6324012787775534e+08 3.6281846827440488e+08 3.6237664561645788e+08 3.6192080722794807e+08 3.6143692494812167e+08 3.6094608612639523e+08 3.6039751114818889e+08 3.5981043562018234e+08 3.5917406074024779e+08 3.5847995412199062e+08 3.5771786878144968e+08 3.5687626140437484e+08 3.5593758965229899e+08 3.5490864043255365e+08 3.5374361067545599e+08 3.5243743629213661e+08 3.5097116799749565e+08 3.4932441301123297e+08 3.4747614138722408e+08 3.4540525882810956e+08 3.4308751352842933e+08 3.4053076703617781e+08 3.3768364068621963e+08 3.3455874486069345e+08 3.3116330718463874e+08 3.2752395878961325e+08 3.2368601048985368e+08 3.1973570626193362e+08 3.1580053479492229e+08 3.1209503185353708e+08 3.0887739228009325e+08 3.0656414681857669e+08 3.0573105557866019e+08 3.0721774520272452e+08 3.1224323458888316e+08 3.2265497329521853e+08 3.4137693181822604e+08 3.7334421079212934e+08 1.5561017656214029e+08 +5.8632544181393698e+00 4.3276370655544281e+08 4.3272422473102766e+08 4.3265808400799149e+08 4.3257404094933474e+08 4.3249580896021485e+08 4.3245856015333688e+08 4.3247718950039226e+08 4.3252563804823625e+08 4.3257842825467211e+08 4.3263149383700466e+08 4.3268906032600015e+08 4.3275259397863865e+08 4.3282267203122240e+08 4.3290052963615620e+08 4.3298788104868579e+08 4.3308651796570230e+08 4.3319867497872287e+08 4.3332719225914037e+08 4.3347544914564592e+08 4.3364732952316159e+08 4.3384734145377111e+08 4.3408063061248761e+08 4.3435306798366618e+08 4.3467441348394686e+08 4.3506216168858516e+08 4.3552719677864289e+08 4.3607405745962626e+08 4.3671241961334014e+08 4.3745583297816736e+08 4.3831980773893821e+08 4.3932147667478716e+08 4.4047944136092234e+08 4.4181351650501990e+08 4.4334429286779755e+08 4.4509245992937660e+08 4.4707771541141522e+08 4.4931728044451261e+08 4.5182380806493491e+08 4.5460268847285992e+08 4.5764849923697215e+08 4.6119494879036641e+08 4.6497444342356068e+08 4.6890171252702451e+08 4.7285054144633687e+08 4.7664915694074500e+08 4.8008031581866956e+08 4.8288892659875733e+08 4.8479955499523586e+08 4.8554497884866518e+08 4.8489934333370602e+08 4.8271193253237665e+08 4.7895756840567636e+08 4.7375232399432343e+08 4.6729468206011951e+08 4.5987084490451908e+08 4.5181991017671967e+08 4.4347002768817192e+08 4.3511591530494338e+08 4.2698720328601027e+08 4.1926777631152630e+08 4.1206064138282675e+08 4.0544344312893957e+08 3.9943077390307617e+08 3.9404437656496429e+08 3.8925895939265370e+08 3.8504380762176609e+08 3.8137767996540254e+08 3.7821135260848510e+08 3.7549215075462663e+08 3.7318743358510023e+08 3.7123675659102076e+08 3.6961087197634429e+08 3.6826410507635713e+08 3.6716475740508026e+08 3.6625933025067949e+08 3.6549099119315666e+08 3.6482807263172686e+08 3.6423405666262650e+08 3.6366321997554129e+08 3.6325592493741637e+08 3.6284358456545073e+08 3.6242238506526673e+08 3.6198104504404223e+08 3.6152570476354218e+08 3.6104235347492713e+08 3.6055204443628275e+08 3.6000406887115288e+08 3.5941763478338426e+08 3.5878195515927935e+08 3.5808860681704998e+08 3.5732735395953685e+08 3.5648666587334549e+08 3.5554902155780584e+08 3.5452118965251422e+08 3.5335743226167822e+08 3.5205268432389235e+08 3.5058801724056977e+08 3.4894306049298477e+08 3.4709680709265310e+08 3.4502818577011001e+08 3.4271297330323982e+08 3.4015901221113050e+08 3.3731499452350181e+08 3.3419351059018224e+08 3.3080178014668459e+08 3.2716640525073856e+08 3.2333264725090462e+08 3.1938665597327936e+08 3.1545578286805499e+08 3.1175431990078276e+08 3.0854019346253949e+08 3.0622947381311983e+08 3.0539729439539838e+08 3.0688236150453770e+08 3.1190236415439051e+08 3.2230273604231119e+08 3.4100425849880058e+08 3.7293663131547785e+08 1.5523105265474594e+08 +5.8682227409136276e+00 4.3316851675422442e+08 4.3312898173498768e+08 4.3306275937165529e+08 4.3297860202668774e+08 4.3290024740038913e+08 4.3286289989601672e+08 4.3288147206241810e+08 4.3292987761906660e+08 4.3298260863713378e+08 4.3303558954098564e+08 4.3309304486752778e+08 4.3315643729290462e+08 4.3322633824862957e+08 4.3330397667493975e+08 4.3339106002726346e+08 4.3348937180788606e+08 4.3360113671221310e+08 4.3372918323869556e+08 4.3387687702262038e+08 4.3404808568469512e+08 4.3424729823954737e+08 4.3447963756915802e+08 4.3475094372350937e+08 4.3507092374358779e+08 4.3545701046093130e+08 4.3592005363353151e+08 4.3646455623103476e+08 4.3710013749967688e+08 4.3784027583890378e+08 4.3870039770395285e+08 4.3969753866386986e+08 4.4085018782620746e+08 4.4217803022732055e+08 4.4370150773781860e+08 4.4544113984212434e+08 4.4741643148899674e+08 4.4964438724010557e+08 4.5213741981079233e+08 4.5490065717967188e+08 4.5792839733075178e+08 4.6145239543984288e+08 4.6520595342930895e+08 4.6910348969672817e+08 4.7301856209425032e+08 4.7677931236250615e+08 4.8016862476332396e+08 4.8293181935103005e+08 4.8479421342677867e+08 4.8548969286422318e+08 4.8479382267371577e+08 4.8255750744210011e+08 4.7875716433351320e+08 4.7351021929318398e+08 4.6701616222034383e+08 4.5956168461015069e+08 4.5148585951208609e+08 4.4311641317311460e+08 4.3474737396276635e+08 4.2660758252584082e+08 4.1888011341426796e+08 4.1166728386193454e+08 4.0504612930701989e+08 3.9903079816379690e+08 3.9364264623084462e+08 3.8885613367824733e+08 3.8464036083871776e+08 3.8097392870060110e+08 3.7780753952894670e+08 3.7508846712492722e+08 3.7278401194180924e+08 3.7083372922615278e+08 3.6920832114885259e+08 3.6786209906446898e+08 3.6676332753134370e+08 3.6585849597015756e+08 3.6509077683119470e+08 3.6442847026533985e+08 3.6383504986888003e+08 3.6326481753360987e+08 3.6285796387974179e+08 3.6244607365011954e+08 3.6202533537725490e+08 3.6158447916845423e+08 3.6112963820780414e+08 3.6064681918585879e+08 3.6015704126784348e+08 3.5960966657435733e+08 3.5902387548775685e+08 3.5838889281204253e+08 3.5769630459236848e+08 3.5693588624537402e+08 3.5609611968885779e+08 3.5515950529692441e+08 3.5413279347669840e+08 3.5297031155272543e+08 3.5166699353777307e+08 3.5020393156853998e+08 3.4856077744423002e+08 3.4671654718814003e+08 3.4465019261591470e+08 3.4233751914302641e+08 3.3978635029001415e+08 3.3694544884689635e+08 3.3382738512724829e+08 3.3043937095854306e+08 3.2680797925402594e+08 3.2297842177518266e+08 3.1903675396841949e+08 3.1511018969554931e+08 3.1141277659911454e+08 3.0820217186476195e+08 3.0589398418679297e+08 3.0506271879914469e+08 3.0654615943080372e+08 3.1156066195953077e+08 3.2194963929664028e+08 3.4063067580314332e+08 3.7252805734721619e+08 1.5485252979219824e+08 +5.8731910636878855e+00 4.3356984469882262e+08 4.3353026139796346e+08 4.3346395822216541e+08 4.3337968778409952e+08 4.3330121173049134e+08 4.3326376568778449e+08 4.3328228049632818e+08 4.3333064273355711e+08 4.3338331417787689e+08 4.3343621005041039e+08 4.3349355384907490e+08 4.3355680465959680e+08 4.3362652811317611e+08 4.3370394692962897e+08 4.3379076176018792e+08 4.3388874789983749e+08 4.3400012014436918e+08 4.3412769530349272e+08 4.3427482529720223e+08 4.3444536146417075e+08 4.3464377375453728e+08 4.3487516223495406e+08 4.3514533600591391e+08 4.3546394920260584e+08 4.3584837283218139e+08 4.3630942217919743e+08 4.3685156447939318e+08 4.3748436232726866e+08 4.3822122275361627e+08 4.3907748845383281e+08 4.4007009776517683e+08 4.4121742731929511e+08 4.4253903249313658e+08 4.4405520630843776e+08 4.4578629834283322e+08 4.4775162092594832e+08 4.4996796229460394e+08 4.5244749520763272e+08 4.5519508595074314e+08 4.5820475365669096e+08 4.6170630145029789e+08 4.6543392873386306e+08 4.6930174501595849e+08 4.7318308324558622e+08 4.7690600316582263e+08 4.8025351976207912e+08 4.8297136780841631e+08 4.8478561878595430e+08 4.8543126797307509e+08 4.8468529977736998e+08 4.8240023662611264e+08 4.7855408604140711e+08 4.7326562037018806e+08 4.6673532942400187e+08 4.5925038710202587e+08 4.5114983634091461e+08 4.4276097616314012e+08 4.3437714364143991e+08 4.2622638957154214e+08 4.1849097922690439e+08 4.1127254152801830e+08 4.0464750440812147e+08 3.9862957401458329e+08 3.9323972060864562e+08 3.8845215758241785e+08 3.8423580149227595e+08 3.8056909655089754e+08 3.7740267188035530e+08 3.7468375057816041e+08 3.7237957494304514e+08 3.7042970048504448e+08 3.6880477984079373e+08 3.6745911083542687e+08 3.6636092152058238e+08 3.6545668994788992e+08 3.6468959388074690e+08 3.6402790164188427e+08 3.6343507866822791e+08 3.6286545230193436e+08 3.6245904113542223e+08 3.6204760214770257e+08 3.6162732621835089e+08 3.6118695498847324e+08 3.6073261455116147e+08 3.6025032906185901e+08 3.5976108359201908e+08 3.5921431121813482e+08 3.5862916468278140e+08 3.5799488063553554e+08 3.5730305437143999e+08 3.5654347254764605e+08 3.5570462974425668e+08 3.5476904774488938e+08 3.5374345875981385e+08 3.5258225538110620e+08 3.5128037074045336e+08 3.4981891776075757e+08 3.4817757061107880e+08 3.4633536838478148e+08 3.4427128603716683e+08 3.4196115767485070e+08 3.3941278785069913e+08 3.3657501017787057e+08 3.3346037493355912e+08 3.3007608601665270e+08 3.2644868712488961e+08 3.2262334031451285e+08 3.1868600642262131e+08 3.1476376137696546e+08 3.1107040797608131e+08 3.0786333345261210e+08 3.0555768386114138e+08 3.0472733469496739e+08 3.0620914491559559e+08 3.1121813403552401e+08 3.2159568929056126e+08 3.4025619032505405e+08 3.7211849609795547e+08 1.5447460859317750e+08 +5.8781593864621433e+00 4.3396770417708480e+08 4.3392807118525690e+08 4.3386168583440065e+08 4.3377730302617800e+08 4.3369870598431635e+08 4.3366116171955699e+08 4.3367961899991512e+08 4.3372793758916360e+08 4.3378054907979113e+08 4.3383335956948423e+08 4.3389059147835612e+08 4.3395370029061216e+08 4.3402324583875209e+08 4.3410044462071049e+08 4.3418699047185481e+08 4.3428465047365373e+08 4.3439562951378947e+08 4.3452273270183766e+08 4.3466929822791040e+08 4.3483916113298726e+08 4.3503677228336400e+08 4.3526720891328913e+08 4.3553624915388703e+08 4.3585349420904851e+08 4.3623625318112022e+08 4.3669530682955545e+08 4.3723508666150236e+08 4.3786509860304081e+08 4.3859867828729159e+08 4.3945108462178403e+08 4.4043915869349545e+08 4.4158116464897424e+08 4.4289652821888256e+08 4.4440539362314892e+08 4.4612794062261963e+08 4.4808328908348328e+08 4.5028801116511428e+08 4.5275404003906423e+08 4.5548598082642227e+08 4.5847757454780138e+08 4.6195667350839430e+08 4.6565837642220056e+08 4.6949648600983655e+08 4.7334411290329689e+08 4.7702923786072707e+08 4.8033500984749955e+08 4.8300758152244139e+08 4.8477378110943967e+08 4.8536971463766849e+08 4.8457378544236106e+08 4.8224013110280305e+08 4.7834834464030439e+08 4.7301853829926044e+08 4.6645219459067017e+08 4.5893696305336571e+08 4.5081185102607703e+08 4.4240372667591947e+08 4.3400523400346917e+08 4.2584363374071884e+08 4.1810038274304837e+08 4.1087642308042431e+08 4.0424757686777943e+08 3.9822710965782797e+08 3.9283560769681048e+08 3.8804703892769849e+08 3.8383013725486112e+08 3.8016319106056398e+08 3.7699675709904802e+08 3.7427800845975304e+08 3.7197412985978830e+08 3.7002467757795799e+08 3.6840025521383816e+08 3.6705514751278651e+08 3.6595754646637416e+08 3.6505391925545961e+08 3.6428744939540863e+08 3.6362637380060679e+08 3.6303415008816636e+08 3.6246513129693371e+08 3.6205916371167487e+08 3.6164817705780447e+08 3.6122836458030206e+08 3.6078847948820817e+08 3.6033464076809359e+08 3.5985289006844479e+08 3.5936417836512494e+08 3.5881800974818021e+08 3.5823350930247664e+08 3.5759992555164009e+08 3.5690886306298339e+08 3.5615011976035714e+08 3.5531220291676664e+08 3.5437765576093626e+08 3.5335319234117252e+08 3.5219327056391776e+08 3.5089282272375637e+08 3.4943298258024728e+08 3.4779344672632158e+08 3.4595327737924170e+08 3.4389147269015920e+08 3.4158389551030481e+08 3.3903833145483708e+08 3.3620368502488148e+08 3.3309248645657438e+08 3.2971193170261884e+08 3.2608853517574286e+08 3.2226740910654116e+08 3.1833441949785513e+08 3.1441650399845630e+08 3.1072722004656243e+08 3.0752368417834371e+08 3.0522057874401140e+08 3.0439114797497797e+08 3.0587132387902921e+08 3.1087478639971524e+08 3.2124089224176580e+08 3.3988080864306450e+08 3.7170795476265109e+08 1.5409728966621757e+08 +5.8831277092364012e+00 4.3436209204560792e+08 4.3432241055224001e+08 4.3425594543517613e+08 4.3417145216730314e+08 4.3409273416249526e+08 4.3405509221029037e+08 4.3407349181069237e+08 4.3412176642307025e+08 4.3417431758638424e+08 4.3422704234262210e+08 4.3428416200392586e+08 4.3434712843712956e+08 4.3441649568136239e+08 4.3449347400788546e+08 4.3457975042830002e+08 4.3467708380061054e+08 4.3478766910038280e+08 4.3491429972261018e+08 4.3506030011435252e+08 4.3522948900236696e+08 4.3542629815328574e+08 4.3565578194720340e+08 4.3592368753233588e+08 4.3623956315231019e+08 4.3662065592625076e+08 4.3707771204009324e+08 4.3761512727452850e+08 4.3824235087375814e+08 4.3897264704509002e+08 4.3982119088254499e+08 4.4080472620205694e+08 4.4194140466187632e+08 4.4325052236144203e+08 4.4475207476520205e+08 4.4646607191107547e+08 4.4841144136197186e+08 4.5060453944780833e+08 4.5305706012484401e+08 4.5577334788367379e+08 4.5874686637083858e+08 4.6220351833370852e+08 4.6587930361068588e+08 4.6968772023327857e+08 4.7350165909909576e+08 4.7714902498320544e+08 4.8041310407492298e+08 4.8304047006021285e+08 4.8475871044759774e+08 4.8530504332882804e+08 4.8445929047041321e+08 4.8207720189066535e+08 4.7813995123580474e+08 4.7276898414603108e+08 4.6616676862981963e+08 4.5862142312471354e+08 4.5047191391590542e+08 4.4204467471371782e+08 4.3363165469661379e+08 4.2545932433462757e+08 4.1770833294120634e+08 4.1047893720149875e+08 4.0384635510393840e+08 3.9782341327863163e+08 3.9243031547783023e+08 3.8764078552159148e+08 3.8342337578242046e+08 3.7975621975755882e+08 3.7658980260450852e+08 3.7387124809928095e+08 3.7156768394708502e+08 3.6961866769893879e+08 3.6799475441431272e+08 3.6665021620432264e+08 3.6555320944788903e+08 3.6465019094881207e+08 3.6388435041372347e+08 3.6322389376557738e+08 3.6263227114046788e+08 3.6206386151861846e+08 3.6165833860189605e+08 3.6124780536558032e+08 3.6082845743978542e+08 3.6038905963510299e+08 3.5993572381806856e+08 3.5945450915592968e+08 3.5896633252726948e+08 3.5842076909444469e+08 3.5783691626573902e+08 3.5720403446741688e+08 3.5651373755984801e+08 3.5575583476176095e+08 3.5491884606857920e+08 3.5398533618942279e+08 3.5296200104546553e+08 3.5180336390281355e+08 3.5050435626463056e+08 3.4904613277586055e+08 3.4740841250665015e+08 3.4557028085302830e+08 3.4351075921676201e+08 3.4120573924666619e+08 3.3866298765078163e+08 3.3583147988042343e+08 3.3272372612927425e+08 3.2934691438452995e+08 3.2572752970405501e+08 3.2191063437555355e+08 3.1798199934182459e+08 3.1406842363213032e+08 3.1038321881153458e+08 3.0718322998147619e+08 3.0488267473008209e+08 3.0405416451778919e+08 3.0553270222861636e+08 3.1053062505597389e+08 3.2088525435422027e+08 3.3950453732167977e+08 3.7129644052021843e+08 1.5372057360975194e+08 +5.8880960320106590e+00 4.3475301881246167e+08 4.3471328973897880e+08 4.3464674204935426e+08 4.3456213915347731e+08 4.3448330044535750e+08 4.3444556140499634e+08 4.3446390320923465e+08 4.3451213351183319e+08 4.3456462398078156e+08 4.3461726265626848e+08 4.3467426971501851e+08 4.3473709339143074e+08 4.3480628193765903e+08 4.3488303939211160e+08 4.3496904593540931e+08 4.3506605219417506e+08 4.3517624322454244e+08 4.3530240069455767e+08 4.3544783529651439e+08 4.3561634942530102e+08 4.3581235573135823e+08 4.3604088572204077e+08 4.3630765554684460e+08 4.3662216046215695e+08 4.3700158552708459e+08 4.3745664230567575e+08 4.3799169085590523e+08 4.3861612372653383e+08 4.3934313367235553e+08 4.4018781194889927e+08 4.4116680508497286e+08 4.4229815224472255e+08 4.4360101991529429e+08 4.4509525485560584e+08 4.4680069747609574e+08 4.4873608319803137e+08 4.5091755277426952e+08 4.5335656132130885e+08 4.5605719323373914e+08 4.5901263552715546e+08 4.6244684268073988e+08 4.6609671744705003e+08 4.6987545526952398e+08 4.7365572988871986e+08 4.7726537309223574e+08 4.8048781151938874e+08 4.8307004300806320e+08 4.8474041686343259e+08 4.8523726452635515e+08 4.8434182566808748e+08 4.8191146000837040e+08 4.7792891693100685e+08 4.7251696896942240e+08 4.6587906244017351e+08 4.5830377796367246e+08 4.5013003534430510e+08 4.4168383026294613e+08 4.3325641535050827e+08 4.2507347063800377e+08 4.1731483878107721e+08 4.1008009255674362e+08 4.0344384751856792e+08 3.9741849304581708e+08 3.9202385191735160e+08 3.8723340515346861e+08 3.8301552471423930e+08 3.7934819015321052e+08 3.7618181580046815e+08 3.7346347681042182e+08 3.7116024444411206e+08 3.6921167802752882e+08 3.6758828457230747e+08 3.6624432400215060e+08 3.6514791752700418e+08 3.6424551206808668e+08 3.6348030395765346e+08 3.6282046854477894e+08 3.6222944882076353e+08 3.6166164995209914e+08 3.6125657278252769e+08 3.6084649403983444e+08 3.6042761175761974e+08 3.5998870238200295e+08 3.5953587064470774e+08 3.5905519325801063e+08 3.5856755300355846e+08 3.5802259617092776e+08 3.5743939247537506e+08 3.5680721427285606e+08 3.5611768473953128e+08 3.5536062441489285e+08 3.5452456604662353e+08 3.5359209585886472e+08 3.5256989168156409e+08 3.5141254218478423e+08 3.5011497812481481e+08 3.4865837508085698e+08 3.4702247465381223e+08 3.4518638547223109e+08 3.4312915224328101e+08 3.4082669546613204e+08 3.3828676297142291e+08 3.3545840122321039e+08 3.3235410037044472e+08 3.2898104041561246e+08 3.2536567699333858e+08 3.2155302233127099e+08 3.1762875208933914e+08 3.1371952633698821e+08 3.1003841025875080e+08 3.0684197678764796e+08 3.0454397770085663e+08 3.0371639018894839e+08 3.0519328585836595e+08 3.1018565599484551e+08 3.2052878181875360e+08 3.3912738291011691e+08 3.7088396053330368e+08 1.5334446101216042e+08 +5.8930643547849169e+00 4.3514048270459980e+08 4.3510070787482709e+08 4.3503407988358015e+08 4.3494936793674994e+08 4.3487040924187618e+08 4.3483257358857960e+08 4.3485085751605040e+08 4.3489904317121196e+08 4.3495147258783698e+08 4.3500402483595276e+08 4.3506091894060409e+08 4.3512359948647445e+08 4.3519260894427168e+08 4.3526914511460799e+08 4.3535488134030855e+08 4.3545156000721103e+08 4.3556135624676877e+08 4.3568703998847342e+08 4.3583190815332532e+08 4.3599974679398030e+08 4.3619494942415035e+08 4.3642252466156334e+08 4.3668815764107245e+08 4.3700129060819012e+08 4.3737904648326695e+08 4.3783210216120720e+08 4.3836478198286986e+08 4.3898642178754526e+08 4.3971014285369027e+08 4.4055095257350659e+08 4.4152540017333883e+08 4.4265141232214624e+08 4.4394802591385549e+08 4.4543493905357516e+08 4.4713182262349892e+08 4.4905722006630135e+08 4.5122705681466460e+08 4.5365254952078128e+08 4.5633752302355838e+08 4.5927488845248747e+08 4.6268665333378816e+08 4.6631062510920632e+08 4.7005969873101127e+08 4.7380633335745841e+08 4.7737829077041614e+08 4.8055914127670586e+08 4.8309630996787077e+08 4.8471891043378717e+08 4.8516638872027010e+08 4.8422140184641618e+08 4.8174291647422516e+08 4.7771525282522964e+08 4.7226250381962377e+08 4.6558908691040653e+08 4.5798403820450455e+08 4.4978622562985051e+08 4.4132120329345948e+08 4.3287952557926387e+08 4.2468608191756576e+08 4.1691990920609051e+08 4.0967989779375303e+08 4.0304006249496859e+08 3.9701235711091858e+08 3.9161622496408731e+08 3.8682490559692967e+08 3.8260659167321658e+08 3.7893910974262571e+08 3.7577280407441378e+08 3.7305470188997626e+08 3.7075181857389092e+08 3.6880371572563100e+08 3.6718085280168647e+08 3.6583747798226124e+08 3.6474167775107354e+08 3.6383988963688427e+08 3.6307531703403145e+08 3.6241610513056588e+08 3.6182569010994947e+08 3.6125850356568331e+08 3.6085387321488762e+08 3.6044425003368944e+08 3.6002583447878116e+08 3.5958741466492546e+08 3.5913508817557573e+08 3.5865494929384911e+08 3.5816784670282507e+08 3.5762349787659800e+08 3.5704094481862140e+08 3.5640947184339803e+08 3.5572071146413362e+08 3.5496449556700081e+08 3.5412936968229043e+08 3.5319794158314162e+08 3.5217687104325682e+08 3.5102081218097550e+08 3.4972469505052745e+08 3.4826971621405172e+08 3.4663563985484451e+08 3.4480159788853741e+08 3.4274665838198936e+08 3.4044677073593915e+08 3.3790966393540692e+08 3.3508445551717484e+08 3.3198361558399373e+08 3.2861431613531339e+08 3.2500298331362224e+08 3.2119457917005700e+08 3.1727468386062098e+08 3.1336981815817213e+08 3.0969280036202133e+08 3.0649993050959891e+08 3.0420449352475995e+08 3.0337783084088987e+08 3.0485308064924860e+08 3.0983988519330156e+08 3.2017148081116605e+08 3.3874935194337916e+08 3.7047052194840944e+08 1.5296895245181462e+08 +5.8980326775591747e+00 4.3552449043336856e+08 4.3548467224179465e+08 4.3541796179596609e+08 4.3533314283730567e+08 4.3525406503826475e+08 4.3521613309545618e+08 4.3523435909386003e+08 4.3528249975902295e+08 4.3533486777106118e+08 4.3538733324806905e+08 4.3544411405089259e+08 4.3550665109445292e+08 4.3557548107747102e+08 4.3565179555656767e+08 4.3573726102980417e+08 4.3583361163293129e+08 4.3594301256806624e+08 4.3606822201246101e+08 4.3621252310636389e+08 4.3637968554091424e+08 4.3657408367923111e+08 4.3680070323052096e+08 4.3706519830063087e+08 4.3737695809886605e+08 4.3775304333350319e+08 4.3820409618097782e+08 4.3873440527166820e+08 4.3935324972324860e+08 4.4007367931306416e+08 4.4091061754810607e+08 4.4188051633887351e+08 4.4300118985858452e+08 4.4429154542930996e+08 4.4577113255676800e+08 4.4745945269552970e+08 4.4937485747818500e+08 4.5153305727286810e+08 4.5394503065089995e+08 4.5661434343448371e+08 4.5953363161526906e+08 4.6292295711135215e+08 4.6652103380642039e+08 4.7024045825973821e+08 4.7395347761400568e+08 4.7748778662437111e+08 4.8062710246314466e+08 4.8311928055828238e+08 4.8469420124686074e+08 4.8509242640618843e+08 4.8409802982043684e+08 4.8157158230674595e+08 4.7749897001175565e+08 4.7200559973945749e+08 4.6529685291742200e+08 4.5766221446905214e+08 4.4944049507660496e+08 4.4095680376012260e+08 4.3250099497967660e+08 4.2429716742370528e+08 4.1652355314280701e+08 4.0927836154370356e+08 4.0263500840094548e+08 3.9660501360826546e+08 3.9120744254990810e+08 3.8641529460885400e+08 3.8219658426584560e+08 3.7852898600447404e+08 3.7536277479684889e+08 3.7264493061928290e+08 3.7034241354315388e+08 3.6839478793958533e+08 3.6677246620073545e+08 3.6542968520479715e+08 3.6433449715047121e+08 3.6343333066368324e+08 3.6266939663295007e+08 3.6201081049915719e+08 3.6142100197169161e+08 3.6085442931304777e+08 3.6045024684424186e+08 3.6004108028403878e+08 3.5962313253259230e+08 3.5918520340513223e+08 3.5873338332340777e+08 3.5825378416606230e+08 3.5776722051915526e+08 3.5722348109440202e+08 3.5664158016813290e+08 3.5601081403920949e+08 3.5532282458019572e+08 3.5456745505013597e+08 3.5373326379130477e+08 3.5280288015993875e+08 3.5178294590846062e+08 3.5062818064764714e+08 3.4933351377302963e+08 3.4788016287835950e+08 3.4624791478115743e+08 3.4441592473838323e+08 3.4236328422940332e+08 3.4006597160907561e+08 3.3753169704612875e+08 3.3470964921210092e+08 3.3161227815974247e+08 3.2824674786789864e+08 3.2463945491938722e+08 3.2083531107355803e+08 3.1691980076190048e+08 3.1301930512687504e+08 3.0934639508245236e+08 3.0615709704642522e+08 3.0386422805651009e+08 3.0303849231252003e+08 3.0451209246868652e+08 3.0949331861496574e+08 3.1981335749419582e+08 3.3837045094102693e+08 3.7005613189560378e+08 1.5259404849712443e+08 +5.9030010003334326e+00 4.3590505417488807e+08 4.3586518081118703e+08 4.3579839715228337e+08 4.3571346830200595e+08 4.3563427227120793e+08 4.3559624432131028e+08 4.3561441234655952e+08 4.3566250767140800e+08 4.3571481393390089e+08 4.3576719229929930e+08 4.3582385945540839e+08 4.3588625262901372e+08 4.3595490275470716e+08 4.3603099513975018e+08 4.3611618943029261e+08 4.3621221150433838e+08 4.3632121662872803e+08 4.3644595121735620e+08 4.3658968461449194e+08 4.3675617013819766e+08 4.3694976298358792e+08 4.3717542593313545e+08 4.3743878204986155e+08 4.3774916748382211e+08 4.3812358065605277e+08 4.3857262897884780e+08 4.3910056537782538e+08 4.3971661223850960e+08 4.4043374781270558e+08 4.4126681170341897e+08 4.4223215849071974e+08 4.4334748985471809e+08 4.4463158357098746e+08 4.4610384059995073e+08 4.4778359307261759e+08 4.4968900098106664e+08 4.5183555989041495e+08 4.5423401067400295e+08 4.5688766068188822e+08 4.5978887151766038e+08 4.6315576086269635e+08 4.6672795077792025e+08 4.7041774152470100e+08 4.7409717079499227e+08 4.7759386928391171e+08 4.8069170421508461e+08 4.8313896441502082e+08 4.8466629940443593e+08 4.8501538809040684e+08 4.8397172040758389e+08 4.8139746852329808e+08 4.7728007958044469e+08 4.7174626776352543e+08 4.6500237132734948e+08 4.5733831736512280e+08 4.4909285397421652e+08 4.4059064160130310e+08 4.3212083313205171e+08 4.2390673638974404e+08 4.1612577949937332e+08 4.0887549242011863e+08 4.0222869358626133e+08 3.9619647065591419e+08 3.9079751258989680e+08 3.8600457992899460e+08 3.8178551008183557e+08 3.7811782640031689e+08 3.7495173532265341e+08 3.7223417026276451e+08 3.6993203654270464e+08 3.6798490179985231e+08 3.6636313185141802e+08 3.6502095271377641e+08 3.6392638274012250e+08 3.6302584214129806e+08 3.6226254972961563e+08 3.6160459161146849e+08 3.6101539135489368e+08 3.6044943413180375e+08 3.6004570059975600e+08 3.5963699171337670e+08 3.5921951283249897e+08 3.5878207550801980e+08 3.5833076298419255e+08 3.5785170476235849e+08 3.5736568133015937e+08 3.5682255269218338e+08 3.5624130537962049e+08 3.5561124770415533e+08 3.5492403091862726e+08 3.5416950968093294e+08 3.5333625517395538e+08 3.5240691837179106e+08 3.5138812304057044e+08 3.5023465432526803e+08 3.4894144100774264e+08 3.4748972176140976e+08 3.4585930608939320e+08 3.4402937264278769e+08 3.4197903636723912e+08 3.3968430462297779e+08 3.3715286879285407e+08 3.3433398874175948e+08 3.3124009447250980e+08 3.2787834192407000e+08 3.2427509805254591e+08 3.2047522421009570e+08 3.1656410888615227e+08 3.1266799326114976e+08 3.0899920036644560e+08 3.0581348228369850e+08 3.0352318713786900e+08 3.0269838042979801e+08 3.0417032717089760e+08 3.0914596220947915e+08 3.1945441801564091e+08 3.3799068640833277e+08 3.6964079748958707e+08 1.5221974970658374e+08 +5.9079693231076904e+00 4.3628216134909844e+08 4.3624224877409536e+08 4.3617538417539847e+08 4.3609034913150704e+08 4.3601103533919472e+08 4.3597291172066236e+08 4.3599102171730959e+08 4.3603907134569007e+08 4.3609131552006149e+08 4.3614360643425345e+08 4.3620015960267144e+08 4.3626240854171038e+08 4.3633087843171453e+08 4.3640674832454246e+08 4.3649167100778812e+08 4.3658736409394014e+08 4.3669597290897185e+08 4.3682023209140909e+08 4.3696339717791152e+08 4.3712920509778750e+08 4.3732199186309940e+08 4.3754669731279916e+08 4.3780891345243311e+08 4.3811792335047877e+08 4.3849066306830305e+08 4.3893770520820928e+08 4.3946326699637043e+08 4.4007651407668108e+08 4.4079035315480673e+08 4.4161953990785390e+08 4.4258033157740545e+08 4.4369031735208082e+08 4.4496814548572457e+08 4.4643306845527011e+08 4.4810424917176163e+08 4.4999965615923619e+08 4.5213457044496709e+08 4.5451949558837152e+08 4.5715748101563233e+08 4.6004061469557732e+08 4.6338507146946400e+08 4.6693138329324520e+08 4.7059155622370780e+08 4.7423742106214350e+08 4.7769654740193832e+08 4.8075295568815637e+08 4.8315537118858546e+08 4.8463521501942873e+08 4.8493528428514814e+08 4.8384248443057412e+08 4.8122058614028531e+08 4.7705859261577523e+08 4.7148451891857880e+08 4.6470565299568391e+08 4.5701235748725116e+08 4.4874331259634066e+08 4.4022272673903960e+08 4.3173904959957916e+08 4.2351479803142911e+08 4.1572659716774851e+08 4.0847129901928651e+08 4.0182112638375878e+08 3.9578673635369039e+08 3.9038644298208851e+08 3.8559276928029859e+08 3.8137337669404262e+08 3.7770563837616515e+08 3.7453969298960578e+08 3.7182242806877249e+08 3.6952069474683440e+08 3.6757406442067444e+08 3.6595285681965101e+08 3.6461128753700793e+08 3.6351734151894391e+08 3.6261743104520434e+08 3.6185478328255594e+08 3.6119745541175687e+08 3.6060886519168818e+08 3.6004352494255728e+08 3.5964024139563215e+08 3.5923199122685659e+08 3.5881498227665639e+08 3.5837803786234784e+08 3.5792723403877276e+08 3.5744871795418704e+08 3.5696323599783599e+08 3.5642071952101684e+08 3.5584012729353863e+08 3.5521077966678232e+08 3.5452433729453403e+08 3.5377066626002204e+08 3.5293835061523426e+08 3.5201006298556566e+08 3.5099240918648493e+08 3.4984023993891072e+08 3.4854848345530736e+08 3.4709839953595716e+08 3.4546982042069447e+08 3.4364194820784080e+08 3.4159392136242974e+08 3.3930177630012476e+08 3.3677318564926088e+08 3.3395748052642208e+08 3.3086707088302380e+08 3.2750910460000342e+08 3.2390991893913066e+08 3.2011432473299909e+08 3.1620761431203610e+08 3.1231588856448215e+08 3.0865122214753926e+08 3.0546909209373641e+08 3.0318137659719133e+08 3.0235750100505066e+08 3.0382779059629452e+08 3.0879782191321367e+08 3.1909466851002091e+08 3.3761006483554751e+08 3.6922452582740998e+08 1.5184605662881655e+08 +5.9129376458819483e+00 4.3665583475231105e+08 4.3661587112563217e+08 4.3654892918320256e+08 4.3646378948472518e+08 4.3638435866793776e+08 4.3634613979893655e+08 4.3636419168873930e+08 4.3641219526037604e+08 4.3646437701099581e+08 4.3651658013906991e+08 4.3657301898150176e+08 4.3663512332423264e+08 4.3670341260499084e+08 4.3677905961124820e+08 4.3686371026823366e+08 4.3695907391336495e+08 4.3706728592737085e+08 4.3719106916256654e+08 4.3733366533413494e+08 4.3749879497071880e+08 4.3769077488358063e+08 4.3791452195145106e+08 4.3817559711105394e+08 4.3848323032608783e+08 4.3885429522728670e+08 4.3929932956032115e+08 4.3982251486086220e+08 4.4043296002041960e+08 4.4114350017846632e+08 4.4196880706887460e+08 4.4292504058357835e+08 4.4402967742759269e+08 4.4530123635937750e+08 4.4675882143186826e+08 4.4842142644650567e+08 4.5030682863339180e+08 4.5243009474812245e+08 4.5480149142621845e+08 4.5742381071937871e+08 4.6028886771607625e+08 4.6361089584408218e+08 4.6713133865083396e+08 4.7076191008185124e+08 4.7437423660203302e+08 4.7779582965299362e+08 4.8081086605779308e+08 4.8316851054682267e+08 4.8460095821694100e+08 4.8485212551140344e+08 4.8371033271403825e+08 4.8104094617420095e+08 4.7683452019782639e+08 4.7122036422177094e+08 4.6440670876541722e+08 4.5668434541576558e+08 4.4839188120171958e+08 4.3985306907904100e+08 4.3135565392916483e+08 4.2312136154749346e+08 4.1532601502171499e+08 4.0806578991983438e+08 4.0141231510849059e+08 3.9537581878516281e+08 3.8997424160731357e+08 3.8517987036902779e+08 3.8096019165880954e+08 3.7729242936049563e+08 3.7412665511933583e+08 3.7140971126917374e+08 3.6910839531329012e+08 3.6716228289967936e+08 3.6554164815500128e+08 3.6420069668623406e+08 3.6310738046906698e+08 3.6220810433602089e+08 3.6144610423427117e+08 3.6078940882884234e+08 3.6020143039913547e+08 3.5963670865164536e+08 3.5923387612891662e+08 3.5882608571430600e+08 3.5840954774662405e+08 3.5797309734204721e+08 3.5752280335228765e+08 3.5704483059672266e+08 3.5655989136842084e+08 3.5601798841721523e+08 3.5543805273486006e+08 3.5480941673969239e+08 3.5412375050754243e+08 3.5337093157214290e+08 3.5253955688439047e+08 3.5161232075298142e+08 3.5059581107785463e+08 3.4944494419836825e+08 3.4815464780063164e+08 3.4670620285869443e+08 3.4507946440058446e+08 3.4325365802413076e+08 3.4120794576619232e+08 3.3891839314837736e+08 3.3639265407449061e+08 3.3358013097114819e+08 3.3049321373702544e+08 3.2713904217642748e+08 3.2354392379202092e+08 3.1975261878214484e+08 3.1585032310383677e+08 3.1196299702709508e+08 3.0830246634567446e+08 3.0512393233510405e+08 3.0283880224891013e+08 3.0201585983734983e+08 3.0348448857220316e+08 3.0844890364847559e+08 3.1873411509738559e+08 3.3722859269743490e+08 3.6880732399083871e+08 1.5147296980262259e+08 +5.9179059686562061e+00 4.3702606861184019e+08 4.3698605809275287e+08 4.3691904030804998e+08 4.3683379319518852e+08 4.3675424675453711e+08 4.3671593309828925e+08 4.3673392678198808e+08 4.3678188393386775e+08 4.3683400292868048e+08 4.3688611793768913e+08 4.3694244211926919e+08 4.3700440150737292e+08 4.3707250980788451e+08 4.3714793353867263e+08 4.3723231175573373e+08 4.3732734551412696e+08 4.3743516024336731e+08 4.3755846699827808e+08 4.3770049366101611e+08 4.3786494434633309e+08 4.3805611664869392e+08 4.3827890447102576e+08 4.3853883766734415e+08 4.3884509307678306e+08 4.3921448182770723e+08 4.3965750676601964e+08 4.4017831374323952e+08 4.4078595489084631e+08 4.4149319376227003e+08 4.4231461813188481e+08 4.4326629053427070e+08 4.4436557519668508e+08 4.4563086141293633e+08 4.4708110487586927e+08 4.4873513038638824e+08 4.5061052405950993e+08 4.5272213864751148e+08 4.5508000425467473e+08 4.5768665611021143e+08 4.6053363718025607e+08 4.6383324093064129e+08 4.6732782417936808e+08 4.7092881085160470e+08 4.7450762562705618e+08 4.7789172473463136e+08 4.8086544451803172e+08 4.8317839217207617e+08 4.8456353913385743e+08 4.8476592229675376e+08 4.8357527608617973e+08 4.8085855963916779e+08 4.7660787340060622e+08 4.7095381468274325e+08 4.6410554946896642e+08 4.5635429171893191e+08 4.4803857003382599e+08 4.3948167851082498e+08 4.3097065564999622e+08 4.2272643611900115e+08 4.1492404191797954e+08 4.0765897368308645e+08 4.0100226805853248e+08 3.9496372601563847e+08 3.8956091632906437e+08 3.8476589088427401e+08 3.8054596251540750e+08 3.7687820676568913e+08 3.7371262901678205e+08 3.7099602707918233e+08 3.6869514538399678e+08 3.6674956431855673e+08 3.6512951289128232e+08 3.6378918715748072e+08 3.6269650655735236e+08 3.6179786895773965e+08 3.6103651951189828e+08 3.6038045877511674e+08 3.5979309387742025e+08 3.5922899214794439e+08 3.5882661168176574e+08 3.5841928205010176e+08 3.5800321610819417e+08 3.5756726080423886e+08 3.5711747777296954e+08 3.5664004953050232e+08 3.5615565427269286e+08 3.5561436620069855e+08 3.5503508851219118e+08 3.5440716571975327e+08 3.5372227734156895e+08 3.5297031238716936e+08 3.5213988073446953e+08 3.5121369840925175e+08 3.5019833543116295e+08 3.4904877379792434e+08 3.4775994071284354e+08 3.4631313837149501e+08 3.4468824464037216e+08 3.4286450866799819e+08 3.4082111611516780e+08 3.3853416166036528e+08 3.3601128051254332e+08 3.3320194646640003e+08 3.3011852936525279e+08 3.2676816092093188e+08 3.2317711880873555e+08 3.1939011248265064e+08 3.1549224131274241e+08 3.1160932462515086e+08 3.0795293886671430e+08 3.0477800885311162e+08 3.0249546989473885e+08 3.0167346271201444e+08 3.0314042691242099e+08 3.0809921332455724e+08 3.1837276388327283e+08 3.3684627645442003e+08 3.6838919904521602e+08 1.5110048975702283e+08 +5.9228742914304640e+00 4.3739286828563064e+08 4.3735281123655659e+08 4.3728571778335869e+08 4.3720036542670763e+08 4.3712070419144559e+08 4.3708229618848372e+08 4.3710023155471534e+08 4.3714814192481703e+08 4.3720019783369792e+08 4.3725222439276659e+08 4.3730843358178973e+08 4.3737024766045666e+08 4.3743817461454946e+08 4.3751337468561941e+08 4.3759748005360621e+08 4.3769218348537034e+08 4.3779960045360011e+08 4.3792243020475543e+08 4.3806388677512932e+08 4.3822765785360241e+08 4.3841802180186820e+08 4.3863984953088993e+08 4.3889863980153334e+08 4.3920351630640298e+08 4.3957122760320604e+08 4.4001224159356076e+08 4.4053066845340091e+08 4.4113550354657394e+08 4.4183943882208204e+08 4.4265697807883203e+08 4.4360408648969007e+08 4.4469801581181461e+08 4.4595702590602434e+08 4.4739992416940314e+08 4.4904536651753932e+08 4.5091074812925124e+08 4.5301070802509570e+08 4.5535504017440367e+08 4.5794602353876334e+08 4.6077492972003740e+08 4.6405211370355535e+08 4.6752084723623365e+08 4.7109226631320447e+08 4.7463759637439740e+08 4.7798424136685014e+08 4.8091670028252596e+08 4.8318502576243812e+08 4.8452296791812438e+08 4.8467668517641521e+08 4.8343732537811637e+08 4.8067343754780996e+08 4.7637866329370850e+08 4.7068488130135822e+08 4.6380218592669100e+08 4.5602220694922143e+08 4.4768338932043421e+08 4.3910856490724868e+08 4.3058406427395612e+08 4.2233003090994221e+08 4.1452068669529110e+08 4.0725085885319716e+08 4.0059099351419246e+08 3.9455046609451497e+08 3.8914647499461162e+08 3.8435083849808306e+08 3.8013069678659832e+08 3.7646297798736805e+08 3.7329762197019207e+08 3.7058138269804186e+08 3.6828095208394903e+08 3.6633591574220926e+08 3.6471645804490203e+08 3.6337676592978537e+08 3.6228472673403430e+08 3.6138673183835512e+08 3.6062603602546722e+08 3.5997061214742339e+08 3.5938386251143181e+08 3.5882038230517489e+08 3.5841845491962856e+08 3.5801158709154016e+08 3.5759599421141523e+08 3.5716053509084976e+08 3.5671126413421243e+08 3.5623438157876194e+08 3.5575053152468473e+08 3.5520985967559922e+08 3.5463124141945368e+08 3.5400403338796687e+08 3.5331992456443638e+08 3.5256881545836192e+08 3.5173932890331286e+08 3.5081420267460907e+08 3.4979998894706130e+08 3.4865173541595620e+08 3.4736436884609079e+08 3.4591921270071733e+08 3.4429616773454362e+08 3.4247450669880396e+08 3.4043343893059283e+08 3.3814908831312799e+08 3.3562907139268190e+08 3.3282293338697207e+08 3.2974302408458847e+08 3.2639646708504450e+08 3.2280951017323178e+08 3.1902681194586736e+08 3.1513337497476739e+08 3.1125487732109100e+08 3.0760264560276049e+08 3.0443132747903770e+08 3.0215138532249445e+08 3.0133031540182799e+08 3.0279561141733176e+08 3.0774875683632660e+08 3.1801062095957613e+08 3.3646312255155194e+08 3.6797015803867704e+08 1.5072861701130521e+08 +5.9278426142047218e+00 4.3775623707383424e+08 4.3771613887098128e+08 4.3764896685396326e+08 4.3756351102987939e+08 4.3748373567913181e+08 4.3744523366225857e+08 4.3746311060302728e+08 4.3751097383272070e+08 4.3756296632492578e+08 4.3761490410586423e+08 4.3767099797336960e+08 4.3773266639202416e+08 4.3780041163723421e+08 4.3787538766771424e+08 4.3795921978385973e+08 4.3805359245480686e+08 4.3816061119332296e+08 4.3828296342564321e+08 4.3842384933097273e+08 4.3858694015913588e+08 4.3877649502406353e+08 4.3899736182996875e+08 4.3925500823171616e+08 4.3955850475757009e+08 4.3992453732549179e+08 4.4036353884948039e+08 4.4087958383896440e+08 4.4148161088411027e+08 4.4218224031084949e+08 4.4299589193082005e+08 4.4393843354799139e+08 4.4502700446164685e+08 4.4627973513343769e+08 4.4771528473247224e+08 4.4935214040165073e+08 4.5120750656958097e+08 4.5329580879948622e+08 4.5562660532125354e+08 4.5820191938775367e+08 4.6101275200047082e+08 4.6426752116801113e+08 4.6771041520770174e+08 4.7125228427346897e+08 4.7476415710495102e+08 4.7807338829052669e+08 4.8096464258290112e+08 4.8318842103013414e+08 4.8447925472853541e+08 4.8458442469151515e+08 4.8329649142225689e+08 4.8048559091139984e+08 4.7614690093999970e+08 4.7041357506898719e+08 4.6349662894694221e+08 4.5568810164608657e+08 4.4732634927468634e+08 4.3873373812449205e+08 4.3019588929646158e+08 4.2193215506609643e+08 4.1411595817544860e+08 4.0684145395587033e+08 4.0017849973888898e+08 3.9413604705263704e+08 3.8873092543280679e+08 3.8393472086611319e+08 3.7971440197785896e+08 3.7604675040368944e+08 3.7288164125117671e+08 3.7016578530777484e+08 3.6786582252197289e+08 3.6592134421957642e+08 3.6430249061747468e+08 3.6296343996623027e+08 3.6187204793332654e+08 3.6097469988964319e+08 3.6021466066949779e+08 3.5955987582556075e+08 3.5897374316949087e+08 3.5841088598072791e+08 3.5800941269258028e+08 3.5760300768081278e+08 3.5718788889019471e+08 3.5675292702749485e+08 3.5630416925315624e+08 3.5582783354966092e+08 3.5534452992354488e+08 3.5480447563034606e+08 3.5422651823293149e+08 3.5360002650997710e+08 3.5291669892837614e+08 3.5216644752387291e+08 3.5133790811310583e+08 3.5041384025377572e+08 3.4940077831004936e+08 3.4825383571551812e+08 3.4696793883885115e+08 3.4552443245704281e+08 3.4390324026302540e+08 3.4208365866199106e+08 3.4004492071837056e+08 3.3776317956925523e+08 3.3524603312893045e+08 3.3244309809404695e+08 3.2936670419627428e+08 3.2602396690704489e+08 3.2244110405480528e+08 3.1866272326870060e+08 3.1477373011265630e+08 3.1089966106302530e+08 3.0725159243254507e+08 3.0408389403076673e+08 3.0180655430617499e+08 3.0098642366494805e+08 3.0245004787341368e+08 3.0739754006488591e+08 3.1764769240369409e+08 3.3607913741913521e+08 3.6755020800358689e+08 1.5035735207507032e+08 +5.9328109369789797e+00 4.3811618340257347e+08 4.3807604292919821e+08 4.3800879509469998e+08 4.3792323504299170e+08 4.3784334595901000e+08 4.3780475013723540e+08 4.3782256855873817e+08 4.3787038429607224e+08 4.3792231303924227e+08 4.3797416171762466e+08 4.3803013993796784e+08 4.3809166234744310e+08 4.3815922552545458e+08 4.3823397714018577e+08 4.3831753560639125e+08 4.3841157708893937e+08 4.3851819713607764e+08 4.3864007134379405e+08 4.3878038602084810e+08 4.3894279596781307e+08 4.3913154103477782e+08 4.3935144610446411e+08 4.3960794771455705e+08 4.3991006321051264e+08 4.4027441580389923e+08 4.4071140337844980e+08 4.4122506478636003e+08 4.4182428183703554e+08 4.4252160322013897e+08 4.4333136474474239e+08 4.4426933684507221e+08 4.4535254637323904e+08 4.4659899442764252e+08 4.4802719201830894e+08 4.4965545763633960e+08 4.5150080514219379e+08 4.5357744692040789e+08 4.5589470586313564e+08 4.5845435007319540e+08 4.6124711071682245e+08 4.6447947035959572e+08 4.6789653550855356e+08 4.7140887256489670e+08 4.7488731610427994e+08 4.7815917426790768e+08 4.8100928066925567e+08 4.8318858770338941e+08 4.8443240973501545e+08 4.8448915139082074e+08 4.8315278505482042e+08 4.8029503073930478e+08 4.7591259739757133e+08 4.7013990696734661e+08 4.6318888932634312e+08 4.5535198633473432e+08 4.4696746009188247e+08 4.3835720800194043e+08 4.2980614019462591e+08 4.2153281771616077e+08 4.1370986516093946e+08 4.0643076749956578e+08 3.9976479497728384e+08 3.9372047690367687e+08 3.8831427545614088e+08 3.8351754562574375e+08 3.7929708557800001e+08 3.7562953137664264e+08 3.7246469411480564e+08 3.6974924207426715e+08 3.6744976379002643e+08 3.6550585678305793e+08 3.6388761759301269e+08 3.6254921621383810e+08 3.6145847707283616e+08 3.6056178000744033e+08 3.5980240032226634e+08 3.5914825667416626e+08 3.5856274270368993e+08 3.5800051001596320e+08 3.5759949183368438e+08 3.5719355064350373e+08 3.5677890696248019e+08 3.5634444342352241e+08 3.5589619993072218e+08 3.5542041223545533e+08 3.5493765625189388e+08 3.5439822083708555e+08 3.5382092571444201e+08 3.5319515183489972e+08 3.5251260716982621e+08 3.5176321530531299e+08 3.5093562507005835e+08 3.5001261783498883e+08 3.4900071018954813e+08 3.4785508134375405e+08 3.4657065731359529e+08 3.4512880423600125e+08 3.4350946879019034e+08 3.4169197108695567e+08 3.3965556796885622e+08 3.3737644187605655e+08 3.3486217212029773e+08 3.3206244693261075e+08 3.2898957598750818e+08 3.2565066660959888e+08 3.2207190660734653e+08 3.1829785253338295e+08 3.1441331273470891e+08 3.1054368178544343e+08 3.0689978522063130e+08 3.0373571431291622e+08 3.0146098260680640e+08 3.0064179324670064e+08 3.0210374205388814e+08 3.0704556887798107e+08 3.1728398427864319e+08 3.3569432747199297e+08 3.6712935595535606e+08 1.4998669544827640e+08 +5.9377792597532375e+00 4.3847271172414815e+08 4.3843252594599706e+08 4.3836520679860437e+08 4.3827954229597038e+08 4.3819953969791448e+08 4.3816085026270628e+08 4.3817861009058541e+08 4.3822637799189174e+08 4.3827824265284854e+08 4.3833000190509951e+08 4.3838586415511549e+08 4.3844724021190196e+08 4.3851462096821785e+08 4.3858914779563212e+08 4.3867243221901876e+08 4.3876614209268862e+08 4.3887236299402249e+08 4.3899375867976499e+08 4.3913350157609731e+08 4.3929523002232808e+08 4.3948316459120113e+08 4.3970210712792140e+08 4.3995746304361719e+08 4.4025819648334736e+08 4.4062086788521731e+08 4.4105584006237340e+08 4.4156711621814096e+08 4.4216352137736559e+08 4.4285753257753444e+08 4.4366340161523306e+08 4.4459680155229586e+08 4.4567464680838192e+08 4.4691480915591371e+08 4.4833565151827157e+08 4.4995532385362524e+08 4.5179064964325571e+08 4.5385562837429208e+08 4.5615934800197130e+08 4.5870332204395020e+08 4.6147801259755272e+08 4.6468796834270650e+08 4.6807921558233917e+08 4.7156203904811907e+08 4.7500708168206292e+08 4.7824160808396441e+08 4.8105062380971283e+08 4.8318553552348936e+08 4.8438244311706650e+08 4.8439087582851374e+08 4.8300621711279756e+08 4.8010176803819215e+08 4.7567576371723586e+08 4.6986388796922523e+08 4.6287897784939712e+08 4.5501387152525806e+08 4.4660673195329559e+08 4.3797898436169201e+08 4.2941482642919201e+08 4.2113202797057128e+08 4.1330241643836588e+08 4.0601880797498983e+08 3.9934988745772642e+08 3.9330376364405370e+08 3.8789653285933781e+08 3.8309932039798498e+08 3.7887875505839294e+08 3.7521132825150084e+08 3.7204678779957521e+08 3.6933176014642549e+08 3.6703278296424925e+08 3.6508946044863188e+08 3.6347184593967545e+08 3.6213410160274333e+08 3.6104402105421382e+08 3.6014797907073885e+08 3.5938926184556234e+08 3.5873576154104030e+08 3.5815086795055652e+08 3.5758926123565292e+08 3.5718869916056257e+08 3.5678322278970379e+08 3.5636905522998130e+08 3.5593509107243586e+08 3.5548736295181906e+08 3.5501212441139507e+08 3.5452991727579081e+08 3.5399110205240953e+08 3.5341447060949361e+08 3.5278941609613180e+08 3.5210765600893003e+08 3.5135912550938332e+08 3.5053248646419781e+08 3.4961054209103507e+08 3.4859979123901987e+08 3.4745547893236941e+08 3.4617253087770671e+08 3.4473233461641407e+08 3.4311485986458474e+08 3.4129945048796356e+08 3.3926538715758556e+08 3.3698888166516161e+08 3.3447749475059682e+08 3.3168098623314911e+08 3.2861164572981215e+08 3.2527657240131456e+08 3.2170192397134316e+08 3.1793220580818862e+08 3.1405212883468992e+08 3.1018694540862757e+08 3.0654722981803423e+08 3.0338679411536813e+08 3.0111467597145951e+08 3.0029642987852287e+08 3.0175669971783555e+08 3.0669284912931699e+08 3.1691950263353205e+08 3.3530869911004770e+08 3.6670760889315957e+08 1.4961664762128490e+08 +5.9427475825274954e+00 4.3882582699663627e+08 4.3878559514701420e+08 4.3871820310008115e+08 4.3863243735638535e+08 4.3855232144434428e+08 4.3851353873402935e+08 4.3853123990555382e+08 4.3857895963623303e+08 4.3863075987891465e+08 4.3868242938429004e+08 4.3873817534458625e+08 4.3879940470667338e+08 4.3886660269148618e+08 4.3894090436443055e+08 4.3902391435774523e+08 4.3911729220743644e+08 4.3922311351666564e+08 4.3934403019121009e+08 4.3948320076414496e+08 4.3964424710360104e+08 4.3983137048812377e+08 4.4004934971255034e+08 4.4030355905124813e+08 4.4060290943151051e+08 4.4096389845455056e+08 4.4139685382019937e+08 4.4190574309441555e+08 4.4249933451264626e+08 4.4319003344819480e+08 4.4399200767294133e+08 4.4492083287771970e+08 4.4599331106598794e+08 4.4722718472230202e+08 4.4864066875800157e+08 4.5025174472148299e+08 4.5207704590513998e+08 4.5413035918033105e+08 4.5642053797279894e+08 4.5894884178024894e+08 4.6170546440019590e+08 4.6489302221273750e+08 4.6825846290003705e+08 4.7171179160777640e+08 4.7512346217185086e+08 4.7832069854227018e+08 4.8108868128958470e+08 4.8317927424672896e+08 4.8432936506548506e+08 4.8428960856529528e+08 4.8285679843556392e+08 4.7990581381359738e+08 4.7543641094483948e+08 4.6958552903761148e+08 4.6256690528758121e+08 4.5467376771453571e+08 4.4624417502416980e+08 4.3759907701033789e+08 4.2902195744177288e+08 4.2072979492266297e+08 4.1289362077514470e+08 4.0560558385497791e+08 3.9893378538976896e+08 3.9288591525238514e+08 3.8747770541986781e+08 3.8268005278647327e+08 3.7845941787373573e+08 3.7479214835576165e+08 3.7162792952664745e+08 3.6891334665699053e+08 3.6661488710309571e+08 3.6467216221532220e+08 3.6305518260922188e+08 3.6171810304749161e+08 3.6062868676247138e+08 3.5973330394253498e+08 3.5897525208521533e+08 3.5832239725809455e+08 3.5773812572964060e+08 3.5717714644912148e+08 3.5677704147456491e+08 3.5637203091238689e+08 3.5595834047811562e+08 3.5552487675174457e+08 3.5507766508492243e+08 3.5460297683788687e+08 3.5412131974643874e+08 3.5358312601642060e+08 3.5300715964696884e+08 3.5238282601106852e+08 3.5170185215031040e+08 3.5095418482552582e+08 3.5012849897035730e+08 3.4920761967895085e+08 3.4819802809594864e+08 3.4705503509739518e+08 3.4577356612261969e+08 3.4433503016305274e+08 3.4271942001982069e+08 3.4090610336350745e+08 3.3887438474451470e+08 3.3660050535297161e+08 3.3409200738875461e+08 3.3129872231153619e+08 3.2823291968034863e+08 3.2490169047538203e+08 3.2133116227223146e+08 3.1756578914671910e+08 3.1369018439277101e+08 3.0982945783887661e+08 3.0619393206122696e+08 3.0303713921534312e+08 3.0076764013358951e+08 2.9995033927828771e+08 3.0140892661129647e+08 3.0633938665821838e+08 3.1655425350234085e+08 3.3492225871787107e+08 3.6628497379920322e+08 1.4924720907490566e+08 +5.9477159053017532e+00 4.3917553066817677e+08 4.3913525503287494e+08 4.3906778724759674e+08 4.3898192360108066e+08 4.3890169574580693e+08 4.3886282029926300e+08 4.3888046274619007e+08 4.3892813398175031e+08 4.3897986946834332e+08 4.3903144890834761e+08 4.3908707826116073e+08 4.3914816059181124e+08 4.3921517545823771e+08 4.3928925161510509e+08 4.3937198679539329e+08 4.3946503221314377e+08 4.3957045348985720e+08 4.3969089067381811e+08 4.3982948839156163e+08 4.3998985202931380e+08 4.4017616355745018e+08 4.4039317870690858e+08 4.4064624060572380e+08 4.4094420694775867e+08 4.4130351243283969e+08 4.4173444960800260e+08 4.4224095041218048e+08 4.4283172628882539e+08 4.4351911093302113e+08 4.4431718808539784e+08 4.4524143606643182e+08 4.4630854448032373e+08 4.4753612656590533e+08 4.4894224929901123e+08 4.5054472594165206e+08 4.5235999979207468e+08 4.5440164539070833e+08 4.5667828204330277e+08 4.5919091579452413e+08 4.6192947291444540e+08 4.6509463909424281e+08 4.6843428496015930e+08 4.7185813815537125e+08 4.7523646592967951e+08 4.7839645446872151e+08 4.8112346241227508e+08 4.8316981364312863e+08 4.8427318578019094e+08 4.8418536016712171e+08 4.8270453986400986e+08 4.7970717906651020e+08 4.7519455011979562e+08 4.6930484112548107e+08 4.6225268240055656e+08 4.5433168538400006e+08 4.4587979945234531e+08 4.3721749573621035e+08 4.2862754265818715e+08 4.2032612764718270e+08 4.1248348692120206e+08 4.0519110359448940e+08 3.9851649696588403e+08 3.9246693968972284e+08 3.8705780089767081e+08 3.8225975037740415e+08 3.7803908146152872e+08 3.7437199900044411e+08 3.7120812650029463e+08 3.6849400872133738e+08 3.6619608324966645e+08 3.6425396906599301e+08 3.6263763453630495e+08 3.6130122744545430e+08 3.6021248106654644e+08 3.5931776146959466e+08 3.5856037787030178e+08 3.5790817064059603e+08 3.5732452284444058e+08 3.5676417244876105e+08 3.5636452556031626e+08 3.5595998178899562e+08 3.5554676947636408e+08 3.5511380722246724e+08 3.5466711308313650e+08 3.5419297625837415e+08 3.5371187039781260e+08 3.5317429945310730e+08 3.5259899954022789e+08 3.5197538828117001e+08 3.5129520228272688e+08 3.5054839992875183e+08 3.4972366924708700e+08 3.4880385723985279e+08 3.4779542738234472e+08 3.4665375643850625e+08 3.4537376962356818e+08 3.4393689742410964e+08 3.4232315577301925e+08 3.4051193619677544e+08 3.3848256717400324e+08 3.3621131934127039e+08 3.3370571638799596e+08 3.3091566146779209e+08 3.2785340408139604e+08 3.2452602701079816e+08 3.2095962762117034e+08 3.1719860858845580e+08 3.1332748537445319e+08 3.0947122496821612e+08 3.0583989777345675e+08 3.0268675537558246e+08 3.0041988081304401e+08 2.9960352715030265e+08 3.0106042846594805e+08 3.0598518729074854e+08 3.1618824290556890e+08 3.3453501266463226e+08 3.6586145763945448e+08 1.4887838028044188e+08 +5.9526842280760111e+00 4.3952183009157079e+08 4.3948150821766394e+08 4.3941396834576982e+08 4.3932800532852632e+08 4.3924766730317438e+08 4.3920869976332080e+08 4.3922628339370453e+08 4.3927390581910181e+08 4.3932557620991153e+08 4.3937706526801324e+08 4.3943257769873375e+08 4.3949351266388720e+08 4.3956034406944531e+08 4.3963419435213453e+08 4.3971665434290248e+08 4.3980936692586893e+08 4.3991438773900831e+08 4.4003434496102667e+08 4.4017236930140609e+08 4.4033204965442920e+08 4.4051754866855437e+08 4.4073359899717569e+08 4.4098551261243957e+08 4.4128209396077043e+08 4.4163971477872747e+08 4.4206863241891062e+08 4.4257274320483118e+08 4.4316070178656799e+08 4.4384477016982967e+08 4.4463894805596900e+08 4.4555861639828092e+08 4.4662035242092609e+08 4.4784164016158634e+08 4.4924039873654956e+08 4.5083427325090468e+08 4.5263951720384312e+08 4.5466949309260350e+08 4.5693258651343167e+08 4.5942955063069755e+08 4.6215004495969659e+08 4.6529282614015204e+08 4.6860668928978050e+08 4.7200108662770253e+08 4.7534610133535492e+08 4.7846888470918047e+08 4.8115497649864572e+08 4.8315716349592710e+08 4.8421391547113347e+08 4.8407814120600063e+08 4.8254945224001795e+08 4.7950587479678744e+08 4.7495019227366209e+08 4.6902183517668098e+08 4.6193631993554950e+08 4.5398763500035393e+08 4.4551361537110895e+08 4.3683425031058079e+08 4.2823159148519838e+08 4.1992103520127630e+08 4.1207202360841995e+08 4.0477537563007981e+08 3.9809803035996759e+08 3.9204684489965755e+08 3.8663682703533494e+08 3.8183842073995423e+08 3.7761775324206555e+08 3.7395088748009264e+08 3.7078738590854722e+08 3.6807375343831682e+08 3.6577637842929631e+08 3.6383488796684599e+08 3.6221920863993359e+08 3.6088348167728841e+08 3.5979541081866324e+08 3.5890135848177797e+08 3.5814464601412976e+08 3.5749308848748654e+08 3.5691006608268386e+08 3.5635034601113176e+08 3.5595115818675721e+08 3.5554708218057156e+08 3.5513434897805405e+08 3.5470188922924739e+08 3.5425571368285167e+08 3.5378212940017271e+08 3.5330157594814914e+08 3.5276462907120764e+08 3.5218999698652542e+08 3.5156710959174544e+08 3.5088771307782179e+08 3.5014177747663403e+08 3.4931800393648809e+08 3.4839926139860290e+08 3.4739199570370144e+08 3.4625164954031384e+08 3.4497314794106436e+08 3.4353794293168700e+08 3.4192607362668967e+08 3.4011695545544457e+08 3.3808994087528104e+08 3.3582133001575422e+08 3.3331862808693397e+08 3.3053180998745728e+08 3.2747310515985060e+08 3.2414958817137295e+08 3.2058732611401898e+08 3.1683067015787488e+08 3.1296403773092985e+08 3.0911225267476165e+08 3.0548513276381654e+08 3.0233564834527904e+08 3.0007140371583760e+08 2.9925599918534577e+08 3.0071121100060433e+08 3.0563025683892411e+08 3.1582147684843475e+08 3.3414696730464935e+08 3.6543706736236882e+08 1.4851016169973540e+08 +5.9576525508502689e+00 4.3986472507293171e+08 4.3982436706658399e+08 4.3975674924814302e+08 4.3967068855048871e+08 4.3959024101070970e+08 4.3955118197606146e+08 4.3956870666560495e+08 4.3961627997465140e+08 4.3966788492843491e+08 4.3971928329073036e+08 4.3977467848762953e+08 4.3983546575690162e+08 4.3990211336251312e+08 4.3997573741844875e+08 4.4005792184716022e+08 4.4015030119965225e+08 4.4025492112328517e+08 4.4037439792095661e+08 4.4051184837263089e+08 4.4067084487048894e+08 4.4085553072722781e+08 4.4107061550584596e+08 4.4132138001494598e+08 4.4161657543804443e+08 4.4197251048695928e+08 4.4239940728156698e+08 4.4290112654254901e+08 4.4348626612414777e+08 4.4416701633226335e+08 4.4495729282371932e+08 4.4587237918932980e+08 4.4692874029409063e+08 4.4814373101814902e+08 4.4953512270189369e+08 4.5112039242039937e+08 4.5291560407243127e+08 4.5493390840441561e+08 4.5718345771588981e+08 4.5966475286406934e+08 4.6236718738637298e+08 4.6548759053274059e+08 4.6877568344163436e+08 4.7214064498688322e+08 4.7545237679103905e+08 4.7853799812900317e+08 4.8118323288524681e+08 4.8314133360201550e+08 4.8415156435819387e+08 4.8396796225891668e+08 4.8239154640682673e+08 4.7930191200044215e+08 4.7470334843168890e+08 4.6873652212384564e+08 4.6161782862615013e+08 4.5364162701633155e+08 4.4514563289624399e+08 4.3644935048714507e+08 4.2783411331286657e+08 4.1951452662404346e+08 4.1165923955009419e+08 4.0435840838119799e+08 3.9767839372906035e+08 3.9162563880766696e+08 3.8621479155729842e+08 3.8141607142566174e+08 3.7719544061871415e+08 3.7352882107136130e+08 3.7036571492200726e+08 3.6765258788995367e+08 3.6535577965062475e+08 3.6341492586744207e+08 3.6179991182176757e+08 3.6046487260843843e+08 3.5937748285472858e+08 3.5848410179321408e+08 3.5772806331282574e+08 3.5707715758157361e+08 3.5649476221487421e+08 3.5593567389627409e+08 3.5553694610647202e+08 3.5513333883182406e+08 3.5472108571995360e+08 3.5428912950143892e+08 3.5384347360408801e+08 3.5337044297468853e+08 3.5289044310010922e+08 3.5235412156190598e+08 3.5178015866696674e+08 3.5115799661220193e+08 3.5047939119278401e+08 3.4973432411183816e+08 3.4891150966576737e+08 3.4799383876461750e+08 3.4698773965038174e+08 3.4584872097095805e+08 3.4457170761919588e+08 3.4313817320346206e+08 3.4152818006664425e+08 3.3972116759136719e+08 3.3769651226175195e+08 3.3543054374720085e+08 3.3293074880836976e+08 3.3014717414078033e+08 3.2709202912805390e+08 3.2377238010623121e+08 3.2021426383240843e+08 3.1646197986560810e+08 3.1259984739915931e+08 3.0875254682277966e+08 3.0512964282697994e+08 3.0198382385953903e+08 2.9972221453443438e+08 2.9890776106012982e+08 3.0036127991959381e+08 3.0527460110027999e+08 3.1545396132237363e+08 3.3375812897673315e+08 3.6501180990080321e+08 1.4814255378521135e+08 +5.9626208736245268e+00 4.4020423478958654e+08 4.4016383102556282e+08 4.4009614167941546e+08 4.4000997941613585e+08 4.3992942187055045e+08 4.3989027181413084e+08 4.3990773741805142e+08 4.3995526131038094e+08 4.4000680048655576e+08 4.4005810784083509e+08 4.4011338549422556e+08 4.4017402474074250e+08 4.4024048821268541e+08 4.4031388569236785e+08 4.4039579419244194e+08 4.4048783992485142e+08 4.4059205854199225e+08 4.4071105446104395e+08 4.4084793052205908e+08 4.4100624260613710e+08 4.4119011467577630e+08 4.4140423319181889e+08 4.4165384779117936e+08 4.4194765638100260e+08 4.4230190458855546e+08 4.4272677926230800e+08 4.4322610553157973e+08 4.4380842445470804e+08 4.4448585462964594e+08 4.4527222766371691e+08 4.4618272979084766e+08 4.4723371353963733e+08 4.4844240468104845e+08 4.4982642685918331e+08 4.5140308925462347e+08 4.5318826636466849e+08 4.5519489747770143e+08 4.5743090201470506e+08 4.5989652910053241e+08 4.6258090707352144e+08 4.6567893948313874e+08 4.6894127499627280e+08 4.7227682121955532e+08 4.7555530072217196e+08 4.7860380361381209e+08 4.8120824092623633e+08 4.8312233377092099e+08 4.8408614266939431e+08 4.8385483390815800e+08 4.8223083320814669e+08 4.7909530167065805e+08 4.7445402961331940e+08 4.6844891289033192e+08 4.6129721919344842e+08 4.5329367186864966e+08 4.4477586212756503e+08 4.3606280600352645e+08 4.2743511751228130e+08 4.1910661093612808e+08 4.1124514344226176e+08 4.0394021024778914e+08 3.9725759521105272e+08 3.9120332932173997e+08 3.8579170217163622e+08 3.8099270996853709e+08 3.7677215097670102e+08 3.7310580703378075e+08 3.6994312069451964e+08 3.6723051914148670e+08 3.6493429390627086e+08 3.6299408970055819e+08 3.6137975096713555e+08 3.6004540708626246e+08 3.5895870399390090e+08 3.5806599820080161e+08 3.5731063654672909e+08 3.5666038468949777e+08 3.5607861799577767e+08 3.5552016284776849e+08 3.5512189605541521e+08 3.5471875847104508e+08 3.5430698642263037e+08 3.5387553475103712e+08 3.5343039955079252e+08 3.5295792367715287e+08 3.5247847853888422e+08 3.5194278360127068e+08 3.5136949124636024e+08 3.5074805599537760e+08 3.5007024326709622e+08 3.4932604646012348e+08 3.4850419304494905e+08 3.4758759593140823e+08 3.4658266579633200e+08 3.4544497728284121e+08 3.4416945518548799e+08 3.4273759474016511e+08 3.4112948156383795e+08 3.3932457904102671e+08 3.3730228773169386e+08 3.3503896689028174e+08 3.3254208486006564e+08 3.2976176018242145e+08 3.2671018218317437e+08 3.2339440894980782e+08 3.1984044684313667e+08 3.1609254370724618e+08 3.1223492030168575e+08 3.0839211326149553e+08 3.0477343374442035e+08 3.0163128764019871e+08 2.9937231894734073e+08 2.9855881843803620e+08 3.0001064091322893e+08 3.0491822585849226e+08 3.1508570230393863e+08 3.3336850400443757e+08 3.6458569217038715e+08 1.4777555697992319e+08 +5.9675891963987846e+00 4.4054034325295770e+08 4.4049990250761765e+08 4.4043214294226891e+08 4.4034588177996916e+08 4.4026521489678484e+08 4.4022597416672564e+08 4.4024338054422510e+08 4.4029085472481030e+08 4.4034232778280377e+08 4.4039354381963444e+08 4.4044870362192333e+08 4.4050919452320075e+08 4.4057547352978796e+08 4.4064864408929384e+08 4.4073027629911917e+08 4.4082198802793390e+08 4.4092580492833918e+08 4.4104431952305806e+08 4.4118062070196283e+08 4.4133824782582694e+08 4.4152130549354798e+08 4.4173445705107206e+08 4.4198292095657647e+08 4.4227534182879466e+08 4.4262790215032768e+08 4.4305075346159637e+08 4.4354768531312072e+08 4.4412718196770519e+08 4.4480129030718631e+08 4.4558375788576329e+08 4.4648967358889407e+08 4.4753527763295931e+08 4.4873766672781533e+08 4.5011431690837896e+08 4.5168236959148717e+08 4.5345751007951820e+08 4.5545246649743974e+08 4.5767492580563122e+08 4.6012488597791559e+08 4.6279121093084377e+08 4.6586688022968280e+08 4.6910347156085873e+08 4.7240962333664334e+08 4.7565488157522780e+08 4.7866631006863606e+08 4.8123000999199408e+08 4.8310017382552737e+08 4.8401766064185828e+08 4.8373876674012345e+08 4.8206732348875016e+08 4.7888605479660779e+08 4.7420224682900727e+08 4.6815901838831222e+08 4.6097450234553331e+08 4.5294377997901827e+08 4.4440431314843464e+08 4.3567462657839602e+08 4.2703461343684638e+08 4.1869729714058918e+08 4.1082974396170175e+08 4.0352078961310893e+08 3.9683564292712659e+08 3.9077992433198297e+08 3.8536756656750119e+08 3.8056834388544935e+08 3.7634789168474251e+08 3.7268185261036921e+08 3.6951961036230385e+08 3.6680755424106300e+08 3.6451192817163640e+08 3.6257238638233775e+08 3.6095873294501930e+08 3.5962509194237989e+08 3.5853908103905427e+08 3.5764705448589838e+08 3.5689237247944939e+08 3.5624277656046581e+08 3.5566164016358000e+08 3.5510381959293735e+08 3.5470601475294459e+08 3.5430334781044734e+08 3.5389205779016101e+08 3.5346111167419201e+08 3.5301649821107185e+08 3.5254457818594557e+08 3.5206568893438011e+08 3.5153062184886158e+08 3.5095800137317079e+08 3.5033729437794381e+08 3.4966027592502326e+08 3.4891695113185996e+08 3.4809606066879344e+08 3.4718053947524017e+08 3.4617678069973868e+08 3.4504042501274359e+08 3.4376639715318525e+08 3.4233621402739871e+08 3.4072998457317674e+08 3.3892719622527134e+08 3.3690727366731131e+08 3.3464660578516650e+08 3.3215264253461993e+08 3.2937557435236639e+08 3.2632757050705349e+08 3.2301568082106870e+08 3.1946588119836646e+08 3.1572236766385692e+08 3.1186926234683758e+08 3.0803095782662106e+08 3.0441651128274637e+08 3.0127804539443070e+08 2.9902172261896574e+08 2.9820917696811843e+08 2.9965929965895784e+08 3.0456113688356918e+08 3.1471670575514662e+08 3.3297809869580740e+08 3.6415872106941342e+08 1.4740917171759731e+08 +5.9725575191730425e+00 4.4087307133219093e+08 4.4083258672215724e+08 4.4076475800422537e+08 4.4067840004791111e+08 4.4059762508309555e+08 4.4055829393328935e+08 4.4057564097582144e+08 4.4062306515084291e+08 4.4067447175202131e+08 4.4072559616337502e+08 4.4078063781070185e+08 4.4084098004647392e+08 4.4090707426127112e+08 4.4098001756074274e+08 4.4106137312384683e+08 4.4115275047148728e+08 4.4125616525225681e+08 4.4137419808661181e+08 4.4150992390158987e+08 4.4166686553027922e+08 4.4184910819456565e+08 4.4206129211423171e+08 4.4230860456211466e+08 4.4259963685532582e+08 4.4295050827612412e+08 4.4337133501738721e+08 4.4386587106520677e+08 4.4444254388771468e+08 4.4511332864487785e+08 4.4589188883569962e+08 4.4679321600506842e+08 4.4783343808383912e+08 4.4902952277256095e+08 4.5039879858159536e+08 4.5195823930355668e+08 4.5372334124889857e+08 4.5570662167900974e+08 4.5791553551679301e+08 4.6034983016298664e+08 4.6299810589793164e+08 4.6605142004010975e+08 4.6926228076832825e+08 4.7253905937434417e+08 4.7575112781990939e+08 4.7872552641757733e+08 4.8124854946826887e+08 4.8307486360089368e+08 4.8394612852183622e+08 4.8361977134669089e+08 4.8190102809331179e+08 4.7867418236475176e+08 4.7394801108310264e+08 4.6786684951958257e+08 4.6064968877740037e+08 4.5259196175468558e+08 4.4403099602529252e+08 4.3528482191395819e+08 4.2663261042257071e+08 4.1828659422147524e+08 4.1041304976801956e+08 4.0310015484136480e+08 3.9641254497902542e+08 3.9035543171032196e+08 3.8494239241694188e+08 3.8014298067557937e+08 3.7592267009420371e+08 3.7225696502618223e+08 3.6909519104574567e+08 3.6638370021997744e+08 3.6408868940500808e+08 3.6214982281211787e+08 3.6053686460707647e+08 3.5920393399152529e+08 3.5811862077633393e+08 3.5722727741208875e+08 3.5647327785779184e+08 3.5582433992840856e+08 3.5524383543957156e+08 3.5468665084250683e+08 3.5428930890265739e+08 3.5388711354575992e+08 3.5347630651065397e+08 3.5304586695035213e+08 3.5260177625586188e+08 3.5213041316384834e+08 3.5165208094014412e+08 3.5111764294778633e+08 3.5054569567974222e+08 3.4992571838089156e+08 3.4924949577501261e+08 3.4850704472058684e+08 3.4768711911538094e+08 3.4677267595783287e+08 3.4577009090260595e+08 3.4463507068085265e+08 3.4336254001844072e+08 3.4193403753395563e+08 3.4032969553356677e+08 3.3852902554889435e+08 3.3651147643563879e+08 3.3425346675589204e+08 3.3176242810865408e+08 3.2898862287496156e+08 3.2594420026665181e+08 3.2263620182460600e+08 3.1909057293522304e+08 3.1535145770189184e+08 3.1150287942817283e+08 3.0766908633931923e+08 3.0405888119459587e+08 3.0092410281551629e+08 2.9867043120082730e+08 2.9785884228611958e+08 2.9930726181934506e+08 3.0420333993102258e+08 3.1434697762373036e+08 3.3258691934300590e+08 3.6373090347983074e+08 1.4704339842267767e+08 +5.9775258419473003e+00 4.4120242201615036e+08 4.4116189073748153e+08 4.4109399342903847e+08 4.4100753900318825e+08 4.4092665737925875e+08 4.4088723603479767e+08 4.4090452368186885e+08 4.4095189755715573e+08 4.4100323736510181e+08 4.4105426984583950e+08 4.4110919303592759e+08 4.4116938629054314e+08 4.4123529538971603e+08 4.4130801109465915e+08 4.4138908965914249e+08 4.4148013225496113e+08 4.4158314452012777e+08 4.4170069516557407e+08 4.4183584514537096e+08 4.4199210075578016e+08 4.4217352782956713e+08 4.4238474344914842e+08 4.4263090369413614e+08 4.4292054657126504e+08 4.4326972810335255e+08 4.4368852910155165e+08 4.4418066799969065e+08 4.4475451547492176e+08 4.4542197495817220e+08 4.4619662589261979e+08 4.4709336249492151e+08 4.4812820043626714e+08 4.4931797846135795e+08 4.5067987764570224e+08 4.5223070429544199e+08 4.5398576593746090e+08 4.5595736927124542e+08 4.5815273760604095e+08 4.6057136835396236e+08 4.6320159894227791e+08 4.6623256620873612e+08 4.6941771027762508e+08 4.7266513739161980e+08 4.7584404794652116e+08 4.7878146160403776e+08 4.8126386875727338e+08 4.8304641294453031e+08 4.8387155656417054e+08 4.8349785832341707e+08 4.8173195786739713e+08 4.7845969535620284e+08 4.7369133337178522e+08 4.6757241717575252e+08 4.6032278916990507e+08 4.5223822758681512e+08 4.4365592080784923e+08 4.3489340169427907e+08 4.2622911778627682e+08 4.1787451114493579e+08 4.0999506950121534e+08 4.0267831427870578e+08 3.9598830945133221e+08 3.8992985931117278e+08 3.8451618737410307e+08 3.7971662782043564e+08 3.7549649353839731e+08 3.7183115148987061e+08 3.6866986984654611e+08 3.6595896409237075e+08 3.6366458454813790e+08 3.6172640587209135e+08 3.6011415278850979e+08 3.5878194003194571e+08 3.5769732997511858e+08 3.5680667372718525e+08 3.5605335941272956e+08 3.5540508150968999e+08 3.5482521052904487e+08 3.5426866329076701e+08 3.5387178519133896e+08 3.5347006235580510e+08 3.5305973925536752e+08 3.5262980724319011e+08 3.5218624034007412e+08 3.5171543525671107e+08 3.5123766119252121e+08 3.5070385352499920e+08 3.5013258078247529e+08 3.4951333460869372e+08 3.4883790940790194e+08 3.4809633380393308e+08 3.4727737494697982e+08 3.4636401192362875e+08 3.4536260293023008e+08 3.4422892079192412e+08 3.4295789026187038e+08 3.4153107171369189e+08 3.3992862086839509e+08 3.3813007340160298e+08 3.3611490238787776e+08 3.3385955611092889e+08 3.3137144784396636e+08 3.2860091195977640e+08 3.2556007761400640e+08 3.2225597804969835e+08 3.1871452807630444e+08 3.1497981977335066e+08 3.1113577742490447e+08 3.0730650460634279e+08 3.0370054921914089e+08 3.0056946558351558e+08 2.9831845032953882e+08 2.9750782001374936e+08 2.9895453304359442e+08 3.0384484074233520e+08 3.1397652384216863e+08 3.3219497222364515e+08 3.6330224626628983e+08 1.4667823751037043e+08 +5.9824941647215581e+00 4.4152839040161687e+08 4.4148782340762037e+08 4.4141985494962764e+08 4.4133330429161948e+08 4.4125231668945700e+08 4.4121280543303275e+08 4.4123003366984868e+08 4.4127735694778430e+08 4.4132862962855810e+08 4.4137956987579381e+08 4.4143437430850220e+08 4.4149441826944214e+08 4.4156014193424362e+08 4.4163262971311206e+08 4.4171343093370724e+08 4.4180413841200006e+08 4.4190674777295530e+08 4.4202381581031531e+08 4.4215838949324799e+08 4.4231395857488704e+08 4.4249456948485649e+08 4.4270481615773159e+08 4.4294982347531319e+08 4.4323807612183529e+08 4.4358556680618376e+08 4.4400234092182076e+08 4.4449208136482280e+08 4.4506310202354336e+08 4.4572723459673315e+08 4.4649797447159231e+08 4.4739011854785299e+08 4.4841957026847172e+08 4.4960303947550935e+08 4.5095755990036762e+08 4.5249977050444347e+08 4.5424479024228525e+08 4.5620471555421644e+08 4.5838653856297857e+08 4.6078950727854407e+08 4.6340169706066579e+08 4.6641032605733877e+08 4.6956976777416861e+08 4.7278786547265977e+08 4.7593365046804428e+08 4.7883412458918530e+08 4.8127597727652508e+08 4.8301483171549475e+08 4.8379395503061247e+08 4.8337303826986921e+08 4.8156012365520191e+08 4.7824260474931729e+08 4.7343222468358123e+08 4.6727573223649293e+08 4.5999381419127893e+08 4.5188258785155487e+08 4.4327909752931988e+08 4.3450037558618623e+08 4.2582414482747585e+08 4.1746105685853744e+08 4.0957581178360027e+08 4.0225527625284320e+08 3.9556294440998888e+08 3.8950321497074199e+08 3.8408895907533902e+08 3.7928929278404403e+08 3.7506936933407652e+08 3.7140441919214350e+08 3.6824365385054427e+08 3.6553335285568804e+08 3.6323962052563047e+08 3.6130214242799413e+08 3.5969060430772823e+08 3.5835911684444976e+08 3.5727521538832837e+08 3.5638525016215986e+08 3.5563262385776973e+08 3.5498500800451910e+08 3.5440577212093365e+08 3.5384986361584181e+08 3.5345345028907305e+08 3.5305220090326631e+08 3.5264236267938352e+08 3.5221293919948828e+08 3.5176989710226649e+08 3.5129965109424973e+08 3.5082243631269056e+08 3.5028926019045681e+08 3.4971866328092593e+08 3.4910014964908242e+08 3.4842552339946246e+08 3.4768482494344074e+08 3.4686683470943093e+08 3.4595455390188980e+08 3.4495432329336727e+08 3.4382198183446330e+08 3.4255245434770215e+08 3.4112732300482684e+08 3.3952676698507839e+08 3.3773034615640414e+08 3.3571755785965782e+08 3.3346488014336079e+08 3.3097970798622888e+08 3.2821244780047739e+08 3.2517520868511158e+08 3.2187501557033575e+08 3.1833775262895465e+08 3.1460745981551367e+08 3.1076796220169592e+08 3.0694321842061424e+08 3.0334152108098042e+08 3.0021413936352718e+08 2.9796578562809914e+08 2.9715611575880289e+08 2.9860111896667916e+08 3.0348564504442424e+08 3.1360535032897919e+08 3.3180226359955674e+08 3.6287275627696311e+08 1.4631368938668820e+08 +5.9874624874958160e+00 4.4185099526307613e+08 4.4181038514950514e+08 4.4174234727422494e+08 4.4165570140696210e+08 4.4157460794369614e+08 4.4153500714342386e+08 4.4155217598465586e+08 4.4159944836205709e+08 4.4165065358481467e+08 4.4170150129785949e+08 4.4175618667574424e+08 4.4181608103373945e+08 4.4188161894835466e+08 4.4195387847545391e+08 4.4203440201023155e+08 4.4212477401342452e+08 4.4222698008866131e+08 4.4234356510586327e+08 4.4247756204097033e+08 4.4263244409487182e+08 4.4281223828182101e+08 4.4302151537847340e+08 4.4326536906201363e+08 4.4355223068720818e+08 4.4389802959334958e+08 4.4431277572060865e+08 4.4480011644301903e+08 4.4536830886371982e+08 4.4602911294481039e+08 4.4679594002131003e+08 4.4768348968905723e+08 4.4870755319242603e+08 4.4988471152878416e+08 4.5123185117848045e+08 4.5276544390142542e+08 4.5450042029234493e+08 4.5644866683924115e+08 4.5861694490760815e+08 4.6100425369325137e+08 4.6359840727861017e+08 4.6658470693572068e+08 4.6971846096808177e+08 4.7290725172360313e+08 4.7601994391674256e+08 4.7888352435345346e+08 4.8128488445840138e+08 4.8298012978505063e+08 4.8371333419187307e+08 4.8324532178991562e+08 4.8138553630224913e+08 4.7802292151768291e+08 4.7317069599896258e+08 4.6697680557077253e+08 4.5966277449583548e+08 4.5152505290904313e+08 4.4290053620521194e+08 4.3410575323722178e+08 4.2541770082716691e+08 4.1704624029155976e+08 4.0915528521893519e+08 4.0183104907273531e+08 3.9513645790284675e+08 3.8907550650702351e+08 3.8366071513943183e+08 3.7886098301256293e+08 3.7464130477977651e+08 3.7097677530629820e+08 3.6781655012575263e+08 3.6510687348991543e+08 3.6281380424514443e+08 3.6087703932864064e+08 3.5926622596650666e+08 3.5793547119411111e+08 3.5685228375201523e+08 3.5596301343143827e+08 3.5521107789012271e+08 3.5456412609689009e+08 3.5398552688673842e+08 3.5343025847884971e+08 3.5303431084963411e+08 3.5263353583465350e+08 3.5222418342100233e+08 3.5179526944946349e+08 3.5135275316438013e+08 3.5088306728947443e+08 3.5040641290441126e+08 3.4987386953915066e+08 3.4930394975831443e+08 3.4868617007395607e+08 3.4801234430868572e+08 3.4727252468388420e+08 3.4645550493270767e+08 3.4554430840509486e+08 3.4454525848505139e+08 3.4341426028084344e+08 3.4214623872462201e+08 3.4072279782818055e+08 3.3912414027521569e+08 3.3732985017150891e+08 3.3531944917077380e+08 3.3306944513106728e+08 3.3058721476675975e+08 3.2782323657542950e+08 3.2478959960183400e+08 3.2149332044634652e+08 3.1796025258602875e+08 3.1423438375061184e+08 3.1039943960861576e+08 3.0657923355976462e+08 3.0298180248990554e+08 2.9985812980735856e+08 2.9761244270587254e+08 2.9680373511529702e+08 2.9824702520982951e+08 3.0312575855098438e+08 3.1323346298787117e+08 3.3140879971669281e+08 3.6244244034297198e+08 1.4594975444849482e+08 +5.9924308102700738e+00 4.4217022696881115e+08 4.4212957960374826e+08 4.4206147419001067e+08 4.4197473536078000e+08 4.4189353616989678e+08 4.4185384623690510e+08 4.4187095570619959e+08 4.4191817687352026e+08 4.4196931431116730e+08 4.4202006919151849e+08 4.4207463521920276e+08 4.4213437966888630e+08 4.4219973152131271e+08 4.4227176247504699e+08 4.4235200798834741e+08 4.4244204416314131e+08 4.4254384657844776e+08 4.4265994817374653e+08 4.4279336791916913e+08 4.4294756245741028e+08 4.4312653937614655e+08 4.4333484628323656e+08 4.4357754564673680e+08 4.4386301548276758e+08 4.4420712170827806e+08 4.4461983877538300e+08 4.4510477855101502e+08 4.4567014135834187e+08 4.4632761542151934e+08 4.4709052802474380e+08 4.4797348147539985e+08 4.4899215485298967e+08 4.5016300036807555e+08 4.5150275734459680e+08 4.5302773048807895e+08 4.5475266224748278e+08 4.5668922946833742e+08 4.5884396319000101e+08 4.6121561438544232e+08 4.6379173664979571e+08 4.6675571621960706e+08 4.6986379759573531e+08 4.7302330427493310e+08 4.7610293684755844e+08 4.7892966989529210e+08 4.8129059975123787e+08 4.8294231703557217e+08 4.8362970432578433e+08 4.8311471949014729e+08 4.8120820665194666e+08 4.7780065663030511e+08 4.7290675829129142e+08 4.6667564803702027e+08 4.5932968072322899e+08 4.5116563310366386e+08 4.4252024683512485e+08 4.3370954427858728e+08 4.2500979504765588e+08 4.1663007035421449e+08 4.0873349839180434e+08 4.0140564102974796e+08 3.9470885795965797e+08 3.8864674172024506e+08 3.8323146316668564e+08 3.7843170593458313e+08 3.7421230715649533e+08 3.7054822698898876e+08 3.6738856572296149e+08 3.6467953295812440e+08 3.6238714259742451e+08 3.6045110340565836e+08 3.5884102454950202e+08 3.5751100982857442e+08 3.5642854178551751e+08 3.5553997023211980e+08 3.5478872819080156e+08 3.5414244245320255e+08 3.5356448148216134e+08 3.5300985452429926e+08 3.5261437351023179e+08 3.5221407377920455e+08 3.5180520810233772e+08 3.5137680460690337e+08 3.5093481513211548e+08 3.5046569043939960e+08 3.4998959755561841e+08 3.4945768814815229e+08 3.4888844678206867e+08 3.4827140243894356e+08 3.4759837867828310e+08 3.4685943955461353e+08 3.4604339213010770e+08 3.4513328192940241e+08 3.4413541498286021e+08 3.4300576258722633e+08 3.4173924982490259e+08 3.4031750258994448e+08 3.3872074711449224e+08 3.3692859178845602e+08 3.3492058262520629e+08 3.3267325733544356e+08 3.3019397440029150e+08 3.2743328444802141e+08 3.2440325647011417e+08 3.2111089872146004e+08 3.1758203392505533e+08 3.1386059748648727e+08 3.1003021548172927e+08 3.0621455578806967e+08 3.0262139914237714e+08 2.9950144255202299e+08 2.9725842715804029e+08 2.9645068366324180e+08 2.9789225738031203e+08 3.0276518696044219e+08 3.1286086770763969e+08 3.3101458680567849e+08 3.6201130527785355e+08 1.4558643308354908e+08 +5.9973991330443317e+00 4.4248610309237176e+08 4.4244541368423176e+08 4.4237724224978501e+08 4.4229041073178637e+08 4.4220910645361537e+08 4.4216932783216387e+08 4.4218637794910091e+08 4.4223354759095776e+08 4.4228461691989046e+08 4.4233527867111361e+08 4.4238972505590576e+08 4.4244931929497349e+08 4.4251448477729291e+08 4.4258628684030819e+08 4.4266625400141793e+08 4.4275595400141007e+08 4.4285735239009184e+08 4.4297297016820878e+08 4.4310581229305935e+08 4.4325931884027272e+08 4.4343747795947725e+08 4.4364481407982451e+08 4.4388635845632291e+08 4.4417043575804311e+08 4.4451284842897683e+08 4.4492353539752996e+08 4.4540607304015064e+08 4.4596860490605295e+08 4.4662274747891426e+08 4.4738174399783504e+08 4.4826009949891853e+08 4.4927338092935115e+08 4.5043791177406245e+08 4.5177028429878628e+08 4.5328663629956847e+08 4.5500152230103588e+08 4.5692640981507617e+08 4.5906759999078983e+08 4.6142359617067891e+08 4.6398169225588828e+08 4.6692336131246126e+08 4.7000578541672850e+08 4.7313603128017783e+08 4.7618263783496028e+08 4.7897257023084658e+08 4.8129313261716193e+08 4.8290140336054707e+08 4.8354307571789831e+08 4.8298124198159719e+08 4.8102814554771334e+08 4.7757582105201197e+08 4.7264042252372068e+08 4.6637227048083442e+08 4.5899454350100869e+08 4.5080433876423454e+08 4.4213823940034372e+08 4.3331175832329887e+08 4.2460043673262095e+08 4.1621255593842024e+08 4.0831045986895818e+08 4.0097906039595342e+08 3.9428015259120274e+08 3.8821692839237356e+08 3.8280121074016255e+08 3.7800146896122390e+08 3.7378238372841364e+08 3.7011878137859786e+08 3.6695970767583591e+08 3.6425133820612156e+08 3.6195964245573390e+08 3.6002434147411311e+08 3.5841500682437456e+08 3.5708573947875077e+08 3.5600399619144052e+08 3.5511612724530077e+08 3.5436558142338073e+08 3.5371996372451061e+08 3.5314264254575247e+08 3.5258865838025826e+08 3.5219364489153266e+08 3.5179382135015047e+08 3.5138544332835984e+08 3.5095755126925403e+08 3.5051608959438872e+08 3.5004752712382758e+08 3.4957199683740705e+08 3.4904072257890248e+08 3.4847216090235484e+08 3.4785585328253120e+08 3.4718363303458613e+08 3.4644557606768823e+08 3.4563050279864627e+08 3.4472148095516610e+08 3.4372479924867249e+08 3.4259649519366819e+08 3.4133149406521976e+08 3.3991144367955410e+08 3.3831659386214620e+08 3.3652657733332634e+08 3.3452096451129770e+08 3.3227632300293857e+08 3.2979999308659053e+08 3.2704259756584299e+08 3.2401618538078123e+08 3.2072775642470628e+08 3.1720310260895330e+08 3.1348610691587293e+08 3.0966029564150071e+08 3.0584919085482258e+08 3.0226031672029924e+08 2.9914408322118968e+08 2.9690374456571776e+08 2.9609696696860874e+08 2.9753682107112610e+08 3.0240393595752203e+08 3.1248757036235034e+08 3.3061963108160758e+08 3.6157935787897509e+08 1.4522372567054909e+08 +6.0023674558185895e+00 4.4279862446648180e+08 4.4275789389011317e+08 4.4268965760456514e+08 4.4260273208126575e+08 4.4252132389066404e+08 4.4248145708967805e+08 4.4249844786175728e+08 4.4254556565910208e+08 4.4259656655763716e+08 4.4264713488638145e+08 4.4270146133772057e+08 4.4276090506748897e+08 4.4282588387472999e+08 4.4289745673456186e+08 4.4297714521791035e+08 4.4306650870219851e+08 4.4316750270440757e+08 4.4328263628056365e+08 4.4341490036295927e+08 4.4356771845520175e+08 4.4374505925688499e+08 4.4395142401012379e+08 4.4419181275181758e+08 4.4447449679807770e+08 4.4481521506701005e+08 4.4522387093247539e+08 4.4570400529602838e+08 4.4626370493788630e+08 4.4691451460328448e+08 4.4766959349157971e+08 4.4854334938339806e+08 4.4955123713276386e+08 4.5070945155950010e+08 4.5203443796965891e+08 4.5354216740240210e+08 4.5524700667549062e+08 4.5716021428286785e+08 4.5928786191964120e+08 4.6162820589381582e+08 4.6416828120604223e+08 4.6708764964248657e+08 4.7014443221717203e+08 4.7324544091423965e+08 4.7625905547425902e+08 4.7901223439362681e+08 4.8129249253294039e+08 4.8285739866508615e+08 4.8345345866058522e+08 4.8284489987741721e+08 4.8084536383236843e+08 4.7734842574129665e+08 4.7237169965261000e+08 4.6606668373770511e+08 4.5865737344063312e+08 4.5044118020351875e+08 4.4175452386497390e+08 4.3291240496523726e+08 4.2418963510772681e+08 4.1579370591716033e+08 4.0788617819793659e+08 4.0055131542510486e+08 3.9385034979041523e+08 3.8778607428656602e+08 3.8236996542418289e+08 3.7757027948521858e+08 3.7335154174152392e+08 3.6968844559648454e+08 3.6652998300076044e+08 3.6382229616241765e+08 3.6153131067715979e+08 3.5959676033144683e+08 3.5798817954206115e+08 3.5665966685847551e+08 3.5557865365539336e+08 3.5469149113508290e+08 3.5394164423488533e+08 3.5329669654342210e+08 3.5272001669953036e+08 3.5216667665842837e+08 3.5177213159750688e+08 3.5137278514390373e+08 3.5096489568802649e+08 3.5053751601732987e+08 3.5009658312343103e+08 3.4962858390717733e+08 3.4915361730433166e+08 3.4862297937613738e+08 3.4805509865334308e+08 3.4743952912742937e+08 3.4676811388748038e+08 3.4603094071936047e+08 3.4521684341949856e+08 3.4430891194586378e+08 3.4331341772679067e+08 3.4218646452432323e+08 3.4092297784546691e+08 3.3950462747034985e+08 3.3791168686240792e+08 3.3612381311652398e+08 3.3412060110172671e+08 3.3187864836365157e+08 3.2940527700888664e+08 3.2665118206113636e+08 3.2362839240941525e+08 3.2034389957018769e+08 3.1682346458546698e+08 3.1311091791690129e+08 3.0928968589450794e+08 3.0548314449478936e+08 3.0189856089081150e+08 2.9878605742365652e+08 2.9654840049597043e+08 2.9574259058344209e+08 2.9718072186140329e+08 3.0204201121259028e+08 3.1211357681126285e+08 3.3022393874370039e+08 3.6114660492582732e+08 1.4486163257917663e+08 +6.0073357785928474e+00 4.4310779621848381e+08 4.4306702493140978e+08 4.4299872519812995e+08 4.4291170492770958e+08 4.4283019364459616e+08 4.4279023920626491e+08 4.4280717062378174e+08 4.4285423625601673e+08 4.4290516840616840e+08 4.4295564302062732e+08 4.4300984925114137e+08 4.4306914217497998e+08 4.4313393400696397e+08 4.4320527735565561e+08 4.4328468683958709e+08 4.4337371347497475e+08 4.4347430273783356e+08 4.4358895173450798e+08 4.4372063736246651e+08 4.4387276654784554e+08 4.4404928852837878e+08 4.4425468134983188e+08 4.4449391382808000e+08 4.4477520392056978e+08 4.4511422696880889e+08 4.4552085076013565e+08 4.4599858073689735e+08 4.4655544691963238e+08 4.4720292231461537e+08 4.4795408208805645e+08 4.4882323678717381e+08 4.4982572920751464e+08 4.5097762556921709e+08 4.5229522432002586e+08 4.5379432989389431e+08 4.5548912162530988e+08 4.5739064930588377e+08 4.5950475561673123e+08 4.6182945042794490e+08 4.6435151063813758e+08 4.6724858866543972e+08 4.7027974580627489e+08 4.7335154137569690e+08 4.7633219837995601e+08 4.7904867143462235e+08 4.8128868898995781e+08 4.8281031286413133e+08 4.8336086345246834e+08 4.8270570379446477e+08 4.8065987234718555e+08 4.7711848165393215e+08 4.7210060062442142e+08 4.6575889863019186e+08 4.5831818114044935e+08 4.5007616771835780e+08 4.4136911017638892e+08 4.3251149378112555e+08 4.2377739937960374e+08 4.1537352914509928e+08 4.0746066190776658e+08 4.0012241435242426e+08 3.9341945753152066e+08 3.8735418714878923e+08 3.8193773476534849e+08 3.7713814488203305e+08 3.7291978842371988e+08 3.6925722674663693e+08 3.6609939869659579e+08 3.6339241373871386e+08 3.6110215410052407e+08 3.5916836675885385e+08 3.5756054943656182e+08 3.5623279866514891e+08 3.5515252084636605e+08 3.5426606854854345e+08 3.5351692325579333e+08 3.5287264752735394e+08 3.5229661054879808e+08 3.5174391595301861e+08 3.5134984021480423e+08 3.5095097174006861e+08 3.5054357175333822e+08 3.5011670541478992e+08 3.4967630227532727e+08 3.4920886733558506e+08 3.4873446549481398e+08 3.4820446506808943e+08 3.4763726655265439e+08 3.4702243647988486e+08 3.4635182773038673e+08 3.4561553998905599e+08 3.4480242045683599e+08 3.4389558134914786e+08 3.4290127684647632e+08 3.4177567698620939e+08 3.4051370754962724e+08 3.3909706032023078e+08 3.3750603244243515e+08 3.3572030543188524e+08 3.3371949865295315e+08 3.3148023963248932e+08 3.2900983233639365e+08 3.2625904405052680e+08 3.2323988361583465e+08 3.1995933415638465e+08 3.1644312578723931e+08 3.1273503635284746e+08 3.0891839203254908e+08 3.0511642242839992e+08 3.0153613730761445e+08 2.9842737075458193e+08 2.9619240050171804e+08 2.9538756004572767e+08 2.9682396531560588e+08 3.0167941838146555e+08 3.1173889289914137e+08 3.2982751597566879e+08 3.6071305318090403e+08 1.4450015417014042e+08 +6.0123041013671052e+00 4.4341362119166243e+08 4.4337281356782258e+08 4.4330444683748561e+08 4.4321733490935415e+08 4.4313572102688992e+08 4.4309567942040771e+08 4.4311255144616103e+08 4.4315956459489596e+08 4.4321042768086278e+08 4.4326080829283863e+08 4.4331489401563442e+08 4.4337403584184998e+08 4.4343864040104145e+08 4.4350975393482536e+08 4.4358888410421008e+08 4.4367757356251085e+08 4.4377775774005443e+08 4.4389192178797227e+08 4.4402302856019145e+08 4.4417446839842796e+08 4.4435017106736207e+08 4.4455459140893394e+08 4.4479266701448148e+08 4.4507256247702575e+08 4.4540988951455283e+08 4.4581448029315042e+08 4.4628980481612647e+08 4.4684383634993988e+08 4.4748797616518790e+08 4.4823521540445888e+08 4.4909976740040648e+08 4.5009686293051314e+08 4.5124243968023342e+08 4.5255264934409690e+08 4.5404312990395182e+08 4.5572787343577743e+08 4.5761772134824461e+08 4.5971828775014740e+08 4.6202733667443180e+08 4.6453138771519387e+08 4.6740618586235416e+08 4.7041173401781040e+08 4.7345434088428736e+08 4.7640207518763059e+08 4.7908189042154813e+08 4.8128173149282050e+08 4.8276015588361984e+08 4.8326530040099281e+08 4.8256366435119176e+08 4.8047168193149811e+08 4.7688599973726285e+08 4.7182713637799817e+08 4.6544892596946603e+08 4.5797697718429166e+08 4.4970931158833343e+08 4.4098200826421112e+08 4.3210903432828820e+08 4.2336373873628467e+08 4.1495203445790732e+08 4.0703391950846261e+08 3.9969236539382458e+08 3.9298748377046061e+08 3.8692127470589519e+08 3.8150452629258156e+08 3.7670507250881881e+08 3.7248713098594528e+08 3.6882513191463703e+08 3.6566796174469370e+08 3.6296169782877564e+08 3.6067217954836345e+08 3.5873916751928496e+08 3.5713212322484505e+08 3.5580514157870513e+08 3.5472560441633779e+08 3.5383986611603838e+08 3.5309142509944260e+08 3.5244782327584732e+08 3.5187243068181580e+08 3.5132038284212470e+08 3.5092677731441623e+08 3.5052838770165175e+08 3.5012147807965350e+08 3.4969512600923651e+08 3.4925525358922738e+08 3.4878838394035375e+08 3.4831454793003273e+08 3.4778518616623515e+08 3.4721867110121429e+08 3.4660458182938886e+08 3.4593478104039150e+08 3.4519938034046918e+08 3.4438724035885459e+08 3.4348149559603924e+08 3.4248838301971418e+08 3.4136413897156620e+08 3.4010368954560918e+08 3.3868874857024670e+08 3.3709963691409540e+08 3.3531606055758512e+08 3.3331766340602696e+08 3.3108110300846058e+08 3.2861366522118717e+08 3.2586618963573295e+08 3.2285066504536426e+08 3.1957406616660094e+08 3.1606209213200933e+08 3.1235846807209271e+08 3.0854641983234167e+08 3.0474903036181951e+08 3.0117305160933489e+08 2.9806802879482096e+08 2.9583575012243992e+08 2.9503188087943435e+08 2.9646655698530948e+08 3.0131616310586542e+08 3.1136352445571780e+08 3.2943036894582099e+08 3.6027870939007753e+08 1.4413929079522076e+08 +6.0172724241413631e+00 4.4371610792969507e+08 4.4367526277557248e+08 4.4360682837914616e+08 4.4351962741681629e+08 4.4343791147032076e+08 4.4339778300775546e+08 4.4341459557218832e+08 4.4346155592206645e+08 4.4351234963086194e+08 4.4356263595392352e+08 4.4361660088658750e+08 4.4367559132529110e+08 4.4374000831786650e+08 4.4381089173748052e+08 4.4388974228226554e+08 4.4397809424104190e+08 4.4407787299539769e+08 4.4419155173427868e+08 4.4432207925841695e+08 4.4447282932026863e+08 4.4464771220124286e+08 4.4485115953112566e+08 4.4508807767365128e+08 4.4536657785380673e+08 4.4570220811676109e+08 4.4610476497858441e+08 4.4657768301862276e+08 4.4712887876011127e+08 4.4776968174144226e+08 4.4851299908931243e+08 4.4937294694537050e+08 4.5036464411006486e+08 4.5150389980278224e+08 4.5280671906676763e+08 4.5428857359174573e+08 4.5596326842231059e+08 4.5784143690361917e+08 4.5992846501818383e+08 4.6222187156305158e+08 4.6470791962885600e+08 4.6756044873936397e+08 4.7054040470900065e+08 4.7355384768254787e+08 4.7646869455124795e+08 4.7911190044007355e+08 4.8127162956020397e+08 4.8270693765944713e+08 4.8316677981733149e+08 4.8241879216912764e+08 4.8028080342316544e+08 4.7665099093656546e+08 4.7155131784223616e+08 4.6513677655456448e+08 4.5763377214043397e+08 4.4934062207820934e+08 4.4059322803996271e+08 4.3170503614709193e+08 4.2294866234723371e+08 4.1452923067112797e+08 4.0660595949090689e+08 3.9926117674761993e+08 3.9255443644465989e+08 3.8648734466708553e+08 3.8107034751587653e+08 3.7627106970475280e+08 3.7205357662116158e+08 3.6839216816993302e+08 3.6523567910926890e+08 3.6253015530970067e+08 3.6024139382535666e+08 3.5830916935997111e+08 3.5670290760662645e+08 3.5537670226263285e+08 3.5429791100037247e+08 3.5341289045100570e+08 3.5266515636255199e+08 3.5202223037270141e+08 3.5144748367097074e+08 3.5089608388697428e+08 3.5050294944971716e+08 3.5010503957470894e+08 3.4969862120582324e+08 3.4927278433161891e+08 3.4883344358749026e+08 3.4836714023479736e+08 3.4789387111526167e+08 3.4736514916545302e+08 3.4679931878345877e+08 3.4618597164876026e+08 3.4551698027807504e+08 3.4478246822010750e+08 3.4397130955691963e+08 3.4306666110153794e+08 3.4207474264299214e+08 3.4095185685481226e+08 3.3969293018475300e+08 3.3827969854555333e+08 3.3669250657281953e+08 3.3491108475602621e+08 3.3291510158546633e+08 3.3068124467451304e+08 3.2821678180042428e+08 3.2547262490185219e+08 3.2246074272692239e+08 3.1918810156929308e+08 3.1568036952242142e+08 3.1198121890797371e+08 3.0817377505643052e+08 3.0438097398622698e+08 3.0080930942052519e+08 2.9770803711062616e+08 2.9547845488250393e+08 2.9467555859435982e+08 2.9610850240664434e+08 3.0095225101283646e+08 3.1098747729568332e+08 3.2903250380611080e+08 3.5984358028174049e+08 1.4377904279731250e+08 +6.0222407469156209e+00 4.4401526080696321e+08 4.4397437766968989e+08 4.4390587701528972e+08 4.4381858771537310e+08 4.4373677041050500e+08 4.4369655527854711e+08 4.4371330827648509e+08 4.4376021551836270e+08 4.4381093953938287e+08 4.4386113129008514e+08 4.4391497515135854e+08 4.4397381391628629e+08 4.4403804305244279e+08 4.4410869606390154e+08 4.4418726667825055e+08 4.4427528082154149e+08 4.4437465382060283e+08 4.4448784689803690e+08 4.4461779479251862e+08 4.4476785466045660e+08 4.4494191729120380e+08 4.4514439109341931e+08 4.4538015120176619e+08 4.4565725546899211e+08 4.4599118822225249e+08 4.4639171029600108e+08 4.4686222086342722e+08 4.4741057971560985e+08 4.4804804466136163e+08 4.4878743882399464e+08 4.4964278117732555e+08 4.5062907858762389e+08 4.5176201187623334e+08 4.5305743954543257e+08 4.5453066714898634e+08 4.5619531292999923e+08 4.5806180249605805e+08 4.6013529414725322e+08 4.6241306205162030e+08 4.6488111359700549e+08 4.6771138482841331e+08 4.7066576576136827e+08 4.7365007003396022e+08 4.7653206514405119e+08 4.7913871059026581e+08 4.8125839272405410e+08 4.8265066813702446e+08 4.8306531202019989e+08 4.8227109787207478e+08 4.8008724765942359e+08 4.7641346618872541e+08 4.7127315593653798e+08 4.6482246117242181e+08 4.5728857656450784e+08 4.4897010943529463e+08 4.4020277939775723e+08 4.3129950875800687e+08 4.2253217936273915e+08 4.1410512658316761e+08 4.0617679032750469e+08 3.9882885659230953e+08 3.9212032347191501e+08 3.8605240472211432e+08 3.8063520592764348e+08 3.7583614379149175e+08 3.7161913250439072e+08 3.6795834256316578e+08 3.6480255773685366e+08 3.6209779304093462e+08 3.5980980371941411e+08 3.5787837900994027e+08 3.5627290926441377e+08 3.5494748736279213e+08 3.5386944721631676e+08 3.5298514814997840e+08 3.5223812362498301e+08 3.5159587538362026e+08 3.5102177607044369e+08 3.5047102563194120e+08 3.5007836315802187e+08 3.4968093388906407e+08 3.4927500765363485e+08 3.4884968689540589e+08 3.4841087877614176e+08 3.4794514271608311e+08 3.4747244153839320e+08 3.4694436054444760e+08 3.4637921606744993e+08 3.4576661239423805e+08 3.4509843188720155e+08 3.4436481005824208e+08 3.4355463446628392e+08 3.4265108426355052e+08 3.4166036209575671e+08 3.4053883699514151e+08 3.3928143580297256e+08 3.3786991655516505e+08 3.3628464769781953e+08 3.3450538427295685e+08 3.3251181940023607e+08 3.3028067079811049e+08 3.2781918819562179e+08 3.2507835591926450e+08 3.2207012267470199e+08 3.1880144631708217e+08 3.1529796384584624e+08 3.1160329467896390e+08 3.0780046345193499e+08 3.0401225897822183e+08 3.0044491635138547e+08 2.9734740125441015e+08 2.9512052029286432e+08 2.9431859868619812e+08 2.9574980710223782e+08 3.0058768771552587e+08 3.1061075721903151e+08 3.2863392669331431e+08 3.5940767256669122e+08 1.4341941051046956e+08 +6.0272090696898788e+00 4.4431108784178931e+08 4.4427016430620372e+08 4.4420159880925626e+08 4.4411422103213066e+08 4.4403230319977301e+08 4.4399200156816214e+08 4.4400869486933577e+08 4.4405554869698554e+08 4.4410620272257853e+08 4.4415629962056088e+08 4.4421002213193578e+08 4.4426870893973172e+08 4.4433274993314904e+08 4.4440317224535811e+08 4.4448146262971109e+08 4.4456913864744771e+08 4.4466810556706905e+08 4.4478081263948959e+08 4.4491018053172457e+08 4.4505954980012435e+08 4.4523279173084784e+08 4.4543429150596148e+08 4.4566889302771676e+08 4.4594460077524370e+08 4.4627683531055748e+08 4.4667532175689137e+08 4.4714342390184867e+08 4.4768894481305128e+08 4.4832307057595712e+08 4.4905854032239115e+08 4.4990927588346386e+08 4.5089017223523140e+08 4.5201678187394607e+08 4.5330481686683333e+08 4.5476941679629898e+08 4.5642401333496219e+08 4.5827882467714554e+08 4.6033878189245790e+08 4.6260091512422270e+08 4.6505097686330706e+08 4.6785900168579513e+08 4.7078782507961768e+08 4.7374301622302908e+08 4.7659219565890551e+08 4.7916232999075240e+08 4.8124203052963102e+08 4.8259135727216750e+08 4.8296090733406574e+08 4.8212059208568108e+08 4.7989102547422397e+08 4.7617343642617571e+08 4.7099266157216638e+08 4.6450599059757507e+08 4.5694140099623221e+08 4.4859778389041245e+08 4.3981067221433812e+08 4.3089246166426289e+08 4.2211429891401511e+08 4.1367973097244495e+08 4.0574642047180223e+08 3.9839541308763897e+08 3.9168515275303739e+08 3.8561646254348683e+08 3.8019910900202358e+08 3.7540030207223594e+08 3.7118380579316282e+08 3.6752366212797678e+08 3.6436860455667418e+08 3.6166461786437976e+08 3.5937741600118810e+08 3.5744680318166900e+08 3.5584213486428708e+08 3.5451750350854439e+08 3.5344021966526282e+08 3.5255664579249859e+08 3.5181033344960952e+08 3.5116876485844868e+08 3.5059531441877401e+08 3.5004521460423172e+08 3.4965302495910174e+08 3.4925607715758657e+08 3.4885064392820430e+08 3.4842584019823903e+08 3.4798756564367259e+08 3.4752239786496741e+08 3.4705026567125118e+08 3.4652282676466817e+08 3.4595836940396416e+08 3.4534651050599104e+08 3.4467914229512423e+08 3.4394641226823807e+08 3.4313722148535436e+08 3.4223477146418256e+08 3.4124524774162763e+08 3.4012508573478359e+08 3.3886921271865630e+08 3.3745940889172828e+08 3.3587606655241346e+08 3.3409896533887148e+08 3.3210782304356778e+08 3.2987938753039539e+08 3.2742089051167965e+08 3.2468338874244279e+08 3.2167881088697398e+08 3.1841410634776837e+08 3.1491488097469199e+08 3.1122470118880069e+08 3.0742649075181526e+08 3.0364289100021195e+08 3.0007987799774599e+08 2.9698612676418841e+08 2.9476195185007024e+08 2.9396100663695484e+08 2.9539047658051729e+08 3.0022247881181711e+08 3.1023337001084852e+08 3.2823464372792643e+08 3.5897099293868124e+08 1.4306039425994772e+08 +6.0321773924641366e+00 4.4460358804054528e+08 4.4456262836149561e+08 4.4449399859536719e+08 4.4440653253357595e+08 4.4432451510923946e+08 4.4428412722974181e+08 4.4430076069488251e+08 4.4434756080488181e+08 4.4439814453003544e+08 4.4444814629698646e+08 4.4450174718271166e+08 4.4456028175299060e+08 4.4462413432095760e+08 4.4469432564865559e+08 4.4477233550677365e+08 4.4485967309577036e+08 4.4495823361856151e+08 4.4507045434978408e+08 4.4519924187709242e+08 4.4534792015205419e+08 4.4552034094776046e+08 4.4572086621134543e+08 4.4595430861332357e+08 4.4622861925661612e+08 4.4655915489368659e+08 4.4695560490729868e+08 4.4742129771800572e+08 4.4796397968171632e+08 4.4859476516805351e+08 4.4932630932966667e+08 4.5017243688234776e+08 4.5114793095743340e+08 4.5226821579788744e+08 4.5354885715022528e+08 4.5500482878543252e+08 4.5664937604211009e+08 4.5849251002933311e+08 4.6053893503648424e+08 4.6278543779358667e+08 4.6521751669857472e+08 4.6800330689380050e+08 4.7090659059088159e+08 4.7383269455659485e+08 4.7664909480752265e+08 4.7918276777402878e+08 4.8122255253499573e+08 4.8252901502971572e+08 4.8285357608883172e+08 4.8196728543679339e+08 4.7969214769916785e+08 4.7593091257479048e+08 4.7070984565020394e+08 4.6418737559155047e+08 4.5659225595964879e+08 4.4822365565803772e+08 4.3941691634807473e+08 4.3048390434957194e+08 4.2169503011396575e+08 4.1325305259804016e+08 4.0531485835729188e+08 3.9796085437487572e+08 3.9124893216892326e+08 3.8517952578426439e+08 3.7976206419416493e+08 3.7496355183228624e+08 3.7074760362686002e+08 3.6708813387966603e+08 3.6393382648043698e+08 3.6123063660474318e+08 3.5894423742322928e+08 3.5701444856967705e+08 3.5541059105461884e+08 3.5408675731178898e+08 3.5301023493143427e+08 3.5212738994122833e+08 3.5138179238206571e+08 3.5074090532927763e+08 3.5016810523685205e+08 3.4961865731479782e+08 3.4922694135679030e+08 3.4883047587555784e+08 3.4842553651779646e+08 3.4800125072048980e+08 3.4756351066324675e+08 3.4709891214475232e+08 3.4662734996825111e+08 3.4610055427157313e+08 3.4553678522798932e+08 3.4492567240715891e+08 3.4425911791259801e+08 3.4352728124763095e+08 3.4271907699664706e+08 3.4181772906826824e+08 3.4082940592713892e+08 3.3971060939986902e+08 3.3845626723444718e+08 3.3704818183196521e+08 3.3546676938350278e+08 3.3369183416775382e+08 3.3170311869212335e+08 3.2947740100710750e+08 3.2702189483886129e+08 3.2428772941014844e+08 3.2128681334676099e+08 3.1802608758351558e+08 3.1453112676631808e+08 3.1084544422569805e+08 3.0705186267414218e+08 3.0327287569969183e+08 2.9971419994026506e+08 2.9662421916370916e+08 2.9440275503598183e+08 2.9360278791363198e+08 2.9503051633511353e+08 2.9985662988606018e+08 3.0985532144128245e+08 3.2783466101509476e+08 3.5853354807438743e+08 1.4270199436224839e+08 +6.0371457152383945e+00 4.4489276945554447e+08 4.4485177410149223e+08 4.4478308162201178e+08 4.4469552719629711e+08 4.4461341138648903e+08 4.4457293763548136e+08 4.4458951113187087e+08 4.4463625722047627e+08 4.4468677034336025e+08 4.4473667670502859e+08 4.4479015569128585e+08 4.4484853774715728e+08 4.4491220160962236e+08 4.4498216167161709e+08 4.4505989071395963e+08 4.4514688957563823e+08 4.4524504339188969e+08 4.4535677745481974e+08 4.4548498426453537e+08 4.4563297116297042e+08 4.4580457040148991e+08 4.4600412068606693e+08 4.4623640345384049e+08 4.4650931643025315e+08 4.4683815251636678e+08 4.4723256532420921e+08 4.4769584792760617e+08 4.4823568998329723e+08 4.4886313415219796e+08 4.4959075162332410e+08 4.5043227002421975e+08 4.5140236068878490e+08 4.5251631968268389e+08 4.5378956654387492e+08 4.5523690939838439e+08 4.5687140748560441e+08 4.5870286516254169e+08 4.6073576039108992e+08 4.6296663709816939e+08 4.6538074039868385e+08 4.6814430805781925e+08 4.7102207024500805e+08 4.7391911335993010e+08 4.7670277131899500e+08 4.7920003308963537e+08 4.8119996831035352e+08 4.8246365138338381e+08 4.8274332861981761e+08 4.8181118855389208e+08 4.7949062516411775e+08 4.7568590555370289e+08 4.7042471906127965e+08 4.6386662690382838e+08 4.5624115196492630e+08 4.4784773493556803e+08 4.3902152163963717e+08 4.3007384627866167e+08 4.2127438205542910e+08 4.1282510020041168e+08 4.0488211239938247e+08 3.9752518857592714e+08 3.9081166958204222e+08 3.8474160207942873e+08 3.7932407894216323e+08 3.7452590033893299e+08 3.7031053312684447e+08 3.6665176481617635e+08 3.6349823040164924e+08 3.6079585606918806e+08 3.5851027472178054e+08 3.5658132185215718e+08 3.5497828446657693e+08 3.5365525536775625e+08 3.5257949958171058e+08 3.5169738714134037e+08 3.5095250695121944e+08 3.5031230331178081e+08 3.4974015502869409e+08 3.4919136025700706e+08 3.4880011883701468e+08 3.4840413652230263e+08 3.4799969189405781e+08 3.4757592492577219e+08 3.4713872028958946e+08 3.4667469200254858e+08 3.4620370086790270e+08 3.4567754949313986e+08 3.4511446995706248e+08 3.4450410450377297e+08 3.4383836513370591e+08 3.4310742337695903e+08 3.4230020736513102e+08 3.4139996342520618e+08 3.4041284298275727e+08 3.3929541429973221e+08 3.3804260563714784e+08 3.3663624163571638e+08 3.3505676242192912e+08 3.3328399695699525e+08 3.3129771250677538e+08 3.2907471734801263e+08 3.2662220725093502e+08 3.2389138394551176e+08 3.2089413602137452e+08 3.1763739593102241e+08 3.1414670706226635e+08 3.1046552956317073e+08 3.0667658492133301e+08 3.0290221870957434e+08 2.9934788774644589e+08 2.9626168396200556e+08 2.9404293531922662e+08 2.9324394796954960e+08 2.9466993184632510e+08 2.9949014650770086e+08 3.0947661726555866e+08 3.2743398464389282e+08 3.5809534463309139e+08 1.4234421112516221e+08 +6.0421140380126523e+00 4.4517863760677397e+08 4.4513760327217621e+08 4.4506885070138776e+08 4.4498121032136643e+08 4.4489899732438999e+08 4.4485843817966312e+08 4.4487495159290630e+08 4.4492164335481989e+08 4.4497208557785285e+08 4.4502189626255071e+08 4.4507525307843286e+08 4.4513348234531981e+08 4.4519695722651446e+08 4.4526668574539346e+08 4.4534413368754917e+08 4.4543079353004032e+08 4.4552854033558118e+08 4.4563978741147709e+08 4.4576741316071308e+08 4.4591470831071848e+08 4.4608548558383036e+08 4.4628406043778980e+08 4.4651518307562029e+08 4.4678669784613681e+08 4.4711383375478005e+08 4.4750620861687392e+08 4.4796708017916334e+08 4.4850408141149163e+08 4.4912818327591348e+08 4.4985187301237929e+08 4.5068878119017851e+08 4.5165346739584243e+08 4.5276109959314388e+08 4.5402695122637284e+08 4.5546566494554412e+08 4.5709011412988758e+08 4.5890989671533900e+08 4.6092926479462445e+08 4.6314452010482591e+08 4.6554065528496236e+08 4.6828201280818880e+08 4.7113427201559883e+08 4.7400228098171985e+08 4.7675323394084126e+08 4.7921413510271627e+08 4.8117428743870479e+08 4.8239527631671774e+08 4.8263017526761013e+08 4.8165231206702352e+08 4.7928646869545376e+08 4.7543842627680510e+08 4.7013729268733430e+08 4.6354375527076679e+08 4.5588809950691098e+08 4.4747003190395796e+08 4.3862449791071284e+08 4.2966229689855409e+08 4.2085236381319422e+08 4.1239588249999434e+08 4.0444819099358541e+08 3.9708842379402035e+08 3.9037337283605349e+08 3.8430269904551101e+08 3.7888516066480947e+08 3.7408735484125161e+08 3.6987260139690024e+08 3.6621456191798854e+08 3.6306182319683397e+08 3.6036028304774368e+08 3.5807553461520290e+08 3.5614742968923062e+08 3.5454522171469986e+08 3.5322300425369579e+08 3.5214802016600966e+08 3.5126664392182165e+08 3.5052248366905373e+08 3.4988296530488849e+08 3.4931147028191388e+08 3.4876332990827912e+08 3.4837256386928093e+08 3.4797706556018430e+08 3.4757311651137114e+08 3.4714986926068515e+08 3.4671320096155280e+08 3.4624974386813354e+08 3.4577932479128301e+08 3.4525381884073389e+08 3.4469142999208254e+08 3.4408181318605995e+08 3.4341689033609152e+08 3.4268684501967424e+08 3.4188061894023335e+08 3.4098148086680979e+08 3.3999556522215885e+08 3.3887950672795075e+08 3.3762823419625324e+08 3.3622359454702920e+08 3.3464605188232815e+08 3.3287545988848376e+08 3.3089161063267893e+08 3.2867134265640008e+08 3.2622183380585057e+08 3.2349435835596240e+08 3.2050078486260867e+08 3.1724803728199399e+08 3.1376162768947113e+08 3.1008496296010971e+08 3.0630066318205953e+08 3.0253092564789063e+08 2.9898094696773022e+08 2.9589852665441680e+08 2.9368249815325624e+08 2.9288449224392408e+08 2.9430872857922965e+08 2.9912303423108488e+08 3.0909726322346818e+08 3.2703262068757671e+08 3.5765638925614423e+08 1.4198704484781155e+08 +6.0470823607869102e+00 4.4546120072549289e+08 4.4542013203797823e+08 4.4535131211809909e+08 4.4526358815513450e+08 4.4518127830344415e+08 4.4514063428358215e+08 4.4515708752458018e+08 4.4520372465166545e+08 4.4525409568057698e+08 4.4530381041968226e+08 4.4535704479612625e+08 4.4541512100299585e+08 4.4547840663075429e+08 4.4554790333399636e+08 4.4562506989547646e+08 4.4571139043372017e+08 4.4580872993207020e+08 4.4591948970963651e+08 4.4604653406465024e+08 4.4619313710727805e+08 4.4636309201963866e+08 4.4656069100657892e+08 4.4679065303775656e+08 4.4706076908486050e+08 4.4738620421816760e+08 4.4777654042707276e+08 4.4823500015212643e+08 4.4876915969128805e+08 4.4938991831618112e+08 4.5010967933604997e+08 4.5094197629275155e+08 4.5190125707470351e+08 4.5300256162345308e+08 4.5426101740673095e+08 4.5569110176809597e+08 4.5730550246698689e+08 4.5911361135469371e+08 4.6111945511320543e+08 4.6331909390456814e+08 4.6569726870555764e+08 4.6841642879853648e+08 4.7124320389715314e+08 4.7408220578832787e+08 4.7680049143886161e+08 4.7922508299196482e+08 4.8114551951537132e+08 4.8232389982026362e+08 4.8251412637755269e+08 4.8149066660749555e+08 4.7907968911748403e+08 4.7518848565016848e+08 4.6984757739966637e+08 4.6321877141564924e+08 4.5553310906464493e+08 4.4709055672613937e+08 4.3822585496622378e+08 4.2924926563639909e+08 4.2042898444163567e+08 4.1196540819879544e+08 4.0401310251675236e+08 3.9665056811307931e+08 3.8993404975560832e+08 3.8386282428010315e+08 3.7844531676276630e+08 3.7364792257016033e+08 3.6943381552251536e+08 3.6577653214738542e+08 3.6262461172462749e+08 3.5992392431196654e+08 3.5764002380434960e+08 3.5571277872408074e+08 3.5411140939554977e+08 3.5279001053045070e+08 3.5171580321689260e+08 3.5083516679410803e+08 3.5009172903063768e+08 3.4945289778948891e+08 3.4888205746671194e+08 3.4833457272767568e+08 3.4794428290622860e+08 3.4754926943417239e+08 3.4714581680795324e+08 3.4672309015537655e+08 3.4628695910123461e+08 3.4582407415502852e+08 3.4535422814275801e+08 3.4482936870914030e+08 3.4426767171788794e+08 3.4365880482690567e+08 3.4299469988014615e+08 3.4226555252327883e+08 3.4146031805399209e+08 3.4056228770916158e+08 3.3957757894315487e+08 3.3846289296085948e+08 3.3721315916547722e+08 3.3581024679296094e+08 3.3423464396309531e+08 3.3246622912784302e+08 3.3048481919828051e+08 3.2826728301997638e+08 3.2582078054590350e+08 3.2309665863322657e+08 3.2010676580712265e+08 3.1685801751221842e+08 3.1337589445956677e+08 3.0970375015928936e+08 3.0592410312955660e+08 3.0215900211813039e+08 2.9861338314211726e+08 2.9553475272122347e+08 2.9332144897800022e+08 2.9252442616152292e+08 2.9394691198501593e+08 2.9875529859712905e+08 3.0871726504021817e+08 3.2663057520309997e+08 3.5721668856843930e+08 1.4163049582069480e+08 +6.0520506835611680e+00 4.4574046460913831e+08 4.4569935390777367e+08 4.4563047632315767e+08 4.4554266641856450e+08 4.4546025978207099e+08 4.4541953139696407e+08 4.4543592440312177e+08 4.4548250658527970e+08 4.4553280613098645e+08 4.4558242465843612e+08 4.4563553632973552e+08 4.4569345920821834e+08 4.4575655531317693e+08 4.4582581993299657e+08 4.4590270483900374e+08 4.4598868579235071e+08 4.4608561769474310e+08 4.4619588987131256e+08 4.4632235250882369e+08 4.4646826309470326e+08 4.4663739526474237e+08 4.4683401796506917e+08 4.4706281893148088e+08 4.4733153576056051e+08 4.4765526954607975e+08 4.4804356642688608e+08 4.4849961355798304e+08 4.4903093057824939e+08 4.4964834508206624e+08 4.5036417646571708e+08 4.5119186127463639e+08 4.5214573575300074e+08 4.5324071189865351e+08 4.5449177132379639e+08 4.5591322623499852e+08 4.5751757901782411e+08 4.5931401577565026e+08 4.6130633824029511e+08 4.6349036561691910e+08 4.6585058803176099e+08 4.6854756370693177e+08 4.7134887390676498e+08 4.7415889616822571e+08 4.7684455259703058e+08 4.7923288595288795e+08 4.8111367414702523e+08 4.8224953189501268e+08 4.8239519229972339e+08 4.8132626280632621e+08 4.7887029725065953e+08 4.7493609457413763e+08 4.6955558405890656e+08 4.6289168604931521e+08 4.5517619110181159e+08 4.4670931954855525e+08 4.3782560259144908e+08 4.2883476190071976e+08 4.2000425297659707e+08 4.1153368597902262e+08 4.0357685532593203e+08 3.9621162959778798e+08 3.8949370814685595e+08 3.8342198536232483e+08 3.7800455461821097e+08 3.7320761073814422e+08 3.6899418257110775e+08 3.6533768244877285e+08 3.6218660282609755e+08 3.5948678661688894e+08 3.5720374897266501e+08 3.5527737558247769e+08 3.5367685408854514e+08 3.5235628074170709e+08 3.5128285525008261e+08 3.5040296225200909e+08 3.4966024951338804e+08 3.4902210723055100e+08 3.4845192303605306e+08 3.4790509515863538e+08 3.4751528238349050e+08 3.4712075457230419e+08 3.4671779920376790e+08 3.4629559402249098e+08 3.4586000111320210e+08 3.4539768925958413e+08 3.4492841730999076e+08 3.4440420547637767e+08 3.4384320150166988e+08 3.4323508578236288e+08 3.4257180011024302e+08 3.4184355221840113e+08 3.4103931102206957e+08 3.4014239025082052e+08 3.3915889042623848e+08 3.3804557925858998e+08 3.3679738678156352e+08 3.3539620458524156e+08 3.3382254484576094e+08 3.3205631082424182e+08 3.3007734431630611e+08 3.2786254451046830e+08 3.2541905349785745e+08 3.2269829075319856e+08 3.1971208477516085e+08 3.1646734248231542e+08 3.1298951316797435e+08 3.0932189688932890e+08 3.0554691042194682e+08 3.0178645370947427e+08 2.9824520179292053e+08 2.9517036762862080e+08 2.9295979321844602e+08 2.9216375513256496e+08 2.9358448750078470e+08 2.9838694513118654e+08 3.0833662842569691e+08 3.2622785423211092e+08 3.5677624917689401e+08 1.4127456432572830e+08 +6.0570190063354259e+00 4.4601642628693563e+08 4.4597528188833475e+08 4.4590634465177876e+08 4.4581845017040807e+08 4.4573594727957094e+08 4.4569513500128645e+08 4.4571146773537588e+08 4.4575799466241175e+08 4.4580822243987393e+08 4.4585774449338675e+08 4.4591073319593680e+08 4.4596850248039228e+08 4.4603140879781055e+08 4.4610044106981683e+08 4.4617704405092871e+08 4.4626268514527994e+08 4.4635920916910756e+08 4.4646899344993603e+08 4.4659487405588377e+08 4.4674009184809297e+08 4.4690840090795654e+08 4.4710404691698664e+08 4.4733168637870425e+08 4.4759900351707137e+08 4.4792103541123992e+08 4.4830729232142121e+08 4.4876092613839149e+08 4.4928939986039966e+08 4.4990346941424489e+08 4.5061537030239624e+08 4.5143844210930365e+08 4.5238690948731154e+08 4.5347555657390255e+08 4.5471921924483091e+08 4.5613204474576223e+08 4.5772635033251208e+08 4.5951111670071852e+08 4.6148992109578592e+08 4.6365834238601667e+08 4.6600062066075337e+08 4.6867542523410481e+08 4.7145129008250159e+08 4.7423236052710158e+08 4.7688542621502239e+08 4.7923755319496912e+08 4.8107876095145875e+08 4.8217218254834706e+08 4.8227338338870823e+08 4.8115911129661936e+08 4.7865830391295636e+08 4.7468126394001859e+08 4.6926132351583743e+08 4.6256250986789966e+08 4.5481735606717885e+08 4.4632633050091118e+08 4.3742375055427182e+08 4.2841879508081836e+08 4.1957817843467182e+08 4.1110072450274324e+08 4.0313945775899309e+08 3.9577161629398060e+08 3.8905235579648256e+08 3.8298018985228020e+08 3.7756288159507012e+08 3.7276642654009914e+08 3.6855370959276009e+08 3.6489801974896157e+08 3.6174780332437152e+08 3.5904887669961888e+08 3.5676671678645957e+08 3.5484122687275422e+08 3.5324156235627085e+08 3.5192182141320097e+08 3.5084918276390517e+08 3.4997003677287078e+08 3.4922805157793933e+08 3.4859060007545561e+08 3.4802107342637569e+08 3.4747490362685132e+08 3.4708556871923959e+08 3.4669152738613707e+08 3.4628907010327309e+08 3.4586738725823027e+08 3.4543233338549316e+08 3.4497059556125104e+08 3.4450189866383541e+08 3.4397833550349367e+08 3.4341802569400996e+08 3.4281066239201802e+08 3.4214819735326368e+08 3.4142085041863835e+08 3.4061760414327914e+08 3.3972179477455056e+08 3.3873950593534470e+08 3.3762757186483955e+08 3.3638092326560396e+08 3.3498147411820590e+08 3.3340976069626343e+08 3.3164571111071861e+08 3.2966919208313364e+08 3.2745713318349051e+08 3.2501665867117536e+08 3.2229926067596495e+08 3.1931674767193818e+08 3.1607601803751159e+08 3.1260248959635711e+08 3.0893940886316186e+08 3.0516909070268619e+08 3.0141328599535012e+08 2.9787640842817283e+08 2.9480537682859772e+08 2.9259753628536218e+08 2.9180248455376393e+08 2.9322146054887605e+08 2.9801797934462625e+08 3.0795535907505912e+08 3.2582446379997396e+08 3.5633507767057371e+08 1.4091925063628995e+08 +6.0619873291096837e+00 4.4628910008086073e+08 4.4624792110476899e+08 4.4617892324752575e+08 4.4609094471809697e+08 4.4600834637828022e+08 4.4596745061252922e+08 4.4598372305712050e+08 4.4603019442168176e+08 4.4608035015039855e+08 4.4612977547034997e+08 4.4618264094308692e+08 4.4624025637144303e+08 4.4630297263860559e+08 4.4637177230368972e+08 4.4644809309495562e+08 4.4653339406274921e+08 4.4662950993223029e+08 4.4673880603162223e+08 4.4686410430109584e+08 4.4700862897359163e+08 4.4717611456811053e+08 4.4737078349763536e+08 4.4759726103367686e+08 4.4786317803124243e+08 4.4818350751637167e+08 4.4856772384504080e+08 4.4901894366723824e+08 4.4954457335598773e+08 4.5015529718256730e+08 4.5086326677807027e+08 4.5168172480010080e+08 4.5262478436494756e+08 4.5370710183298814e+08 4.5494336746665072e+08 4.5634756372738969e+08 4.5793182298752820e+08 4.5970492087978125e+08 4.6167021062684274e+08 4.6382303138121432e+08 4.6614737401449484e+08 4.6880002110445786e+08 4.7155046048573482e+08 4.7430260729286289e+08 4.7692312111136109e+08 4.7923909394151288e+08 4.8104078955926758e+08 4.8209186179628503e+08 4.8214871000370300e+08 4.8098922271065897e+08 4.7844371991788816e+08 4.7442400463403893e+08 4.6896480661069393e+08 4.6223125355546355e+08 4.5445661439306110e+08 4.4594159969430757e+08 4.3702030860322636e+08 4.2800137454746073e+08 4.1915076981196982e+08 4.1066653241384792e+08 4.0270091813453948e+08 3.9533053622795123e+08 3.8861000047270179e+08 3.8253744529189694e+08 3.7712030503829914e+08 3.7232437715153748e+08 3.6811240361862934e+08 3.6445755095649368e+08 3.6130822002536166e+08 3.5861020127944940e+08 3.5632893389450258e+08 3.5440433918596113e+08 3.5280554074363947e+08 3.5148663905377096e+08 3.5041479223994112e+08 3.4953639681689477e+08 3.4879514166779244e+08 3.4815838275422925e+08 3.4758951505675083e+08 3.4704400454083818e+08 3.4665514831547564e+08 3.4626159426969373e+08 3.4585963589317298e+08 3.4543847624145788e+08 3.4500396228936410e+08 3.4454279942256486e+08 3.4407467855786175e+08 3.4355176513473517e+08 3.4299215062908882e+08 3.4238554097901297e+08 3.4172389791949564e+08 3.4099745342103255e+08 3.4019520369976777e+08 3.3930050754594606e+08 3.3831943171832108e+08 3.3720887700690657e+08 3.3596377482119709e+08 3.3456606156996381e+08 3.3299629766384768e+08 3.3123443610392088e+08 3.2926036857933438e+08 3.2705105507855797e+08 3.2461360206089866e+08 3.2189957434604526e+08 3.1892076038662940e+08 3.1568405000730032e+08 3.1221482950988418e+08 3.0855629177919298e+08 3.0479064960041118e+08 3.0103950453521138e+08 2.9750700854234946e+08 2.9443978575816482e+08 2.9223468357552111e+08 2.9144061980655420e+08 2.9285783653723687e+08 2.9764840673392147e+08 3.0757346266810656e+08 3.2542040991592294e+08 3.5589318062203026e+08 1.4056455501726189e+08 +6.0669556518839416e+00 4.4655849083150893e+08 4.4651727589521593e+08 4.4644821571279705e+08 4.4636015510198271e+08 4.4627746270983511e+08 4.4623648378712976e+08 4.4625269593337721e+08 4.4629911143404478e+08 4.4634919483691543e+08 4.4639852316636485e+08 4.4645126515087247e+08 4.4650872646375126e+08 4.4657125242229503e+08 4.4663981922535264e+08 4.4671585756679940e+08 4.4680081814584225e+08 4.4689652559275591e+08 4.4700533323156118e+08 4.4713004887001675e+08 4.4727388010816717e+08 4.4744054189613307e+08 4.4763423337284678e+08 4.4785954858120054e+08 4.4812406500990784e+08 4.4844269159501141e+08 4.4882486676455820e+08 4.4927367194892508e+08 4.4979645691277504e+08 4.5040383428807133e+08 4.5110787185513878e+08 4.5192171538108885e+08 4.5285936650281328e+08 4.5393535388947654e+08 4.5516422231561190e+08 4.5655978963546807e+08 4.5813400358970726e+08 4.5989543509011847e+08 4.6184721380612618e+08 4.6398443979896712e+08 4.6629085553844190e+08 4.6892135906505156e+08 4.7164639319617927e+08 4.7436964491068715e+08 4.7695764612064964e+08 4.7923751743065584e+08 4.8099976961106068e+08 4.8200857966283280e+08 4.8202118250657260e+08 4.8081660768052733e+08 4.7822655607538551e+08 4.7416432753431565e+08 4.6866604417319876e+08 4.6189792778204548e+08 4.5409397649617124e+08 4.4555513722325253e+08 4.3661528646948880e+08 4.2758250965133721e+08 4.1872203608649969e+08 4.1023111833585936e+08 4.0226124475154114e+08 3.9488839740684259e+08 3.8816664992422432e+08 3.8209375920354348e+08 3.7667683227526230e+08 3.7188146973103297e+08 3.6767027166206759e+08 3.6401628296234739e+08 3.6086785971622771e+08 3.5817076705773437e+08 3.5589040692714882e+08 3.5396671909559393e+08 3.5236879577815002e+08 3.5105074015536016e+08 3.4997969014131755e+08 3.4910204882676929e+08 3.4836152620956421e+08 3.4772546168026817e+08 3.4715725432892781e+08 3.4661240429243863e+08 3.4622402755646807e+08 3.4583096160033429e+08 3.4542950294299543e+08 3.4500886733431673e+08 3.4457489417849445e+08 3.4411430718904012e+08 3.4364676332923156e+08 3.4312450069725806e+08 3.4256558262337238e+08 3.4195972784817654e+08 3.4129890810295695e+08 3.4057336750593287e+08 3.3977211595739585e+08 3.3887853481403470e+08 3.3789867400593019e+08 3.3678950089473468e+08 3.3554594763585782e+08 3.3414997310258609e+08 3.3258216188129139e+08 3.3082249190429538e+08 3.2885087986861849e+08 3.2664431621912718e+08 3.2420988964553845e+08 3.2149923769179755e+08 3.1852412879294729e+08 3.1529144420559281e+08 3.1182653865885663e+08 3.0817255131937367e+08 3.0441159272868955e+08 3.0066511487324232e+08 2.9713700761399370e+08 2.9407359984007132e+08 2.9187124047087127e+08 2.9107816625853008e+08 2.9249362085954964e+08 2.9727823278100073e+08 3.0719094486930966e+08 3.2501569857370740e+08 3.5545056458576977e+08 1.4021047772507331e+08 +6.0719239746581994e+00 4.4682460027370781e+08 4.4678335099831092e+08 4.4671423222478402e+08 4.4662608729456073e+08 4.4654330192313600e+08 4.4650224012540865e+08 4.4651839195820969e+08 4.4656475130104226e+08 4.4661476210530341e+08 4.4666399319017112e+08 4.4671661143020451e+08 4.4677391837132508e+08 4.4683625376611698e+08 4.4690458745630181e+08 4.4698034309379935e+08 4.4706496302735281e+08 4.4716026178990805e+08 4.4726858069872648e+08 4.4739271342055303e+08 4.4753585092050791e+08 4.4770168857369065e+08 4.4789440224034065e+08 4.4811855473701757e+08 4.4838167019027549e+08 4.4869859341184014e+08 4.4907872687622839e+08 4.4952511681736279e+08 4.5004505641053736e+08 4.5064908666208583e+08 4.5134919152509707e+08 4.5215841991474038e+08 4.5309066204713500e+08 4.5416031898656327e+08 4.5538179014603156e+08 4.5676872895395178e+08 4.5833289877101564e+08 4.6008266613535458e+08 4.6202093763290030e+08 4.6414257485909355e+08 4.6643107270230693e+08 4.6903944688536900e+08 4.7173909631699932e+08 4.7443348184513116e+08 4.7698901009361058e+08 4.7923283291401279e+08 4.8095571075859642e+08 4.8192234617868209e+08 4.8189081126492214e+08 4.8064127683997136e+08 4.7800682319193947e+08 4.7390224351052874e+08 4.6836504702091271e+08 4.6156254320378613e+08 4.5372945277771515e+08 4.4516695316493851e+08 4.3620869386432421e+08 4.2716220972457933e+08 4.1829198621552366e+08 4.0979449087275445e+08 4.0182044588920897e+08 3.9444520781862658e+08 3.8772231188080496e+08 3.8164913909158272e+08 3.7623247061347455e+08 3.7143771141739184e+08 3.6722732071821678e+08 3.6357422263932115e+08 3.6042672916731888e+08 3.5773058071910757e+08 3.5545114249842900e+08 3.5352837315742409e+08 3.5193133397021228e+08 3.5061413119216830e+08 3.4954388291533709e+08 3.4866699922777247e+08 3.4792721161223614e+08 3.4729184324930543e+08 3.4672429762812221e+08 3.4618010925629282e+08 3.4579221280970544e+08 3.4539963573800570e+08 3.4499867760563254e+08 3.4457856688210458e+08 3.4414513539010805e+08 3.4368512518914270e+08 3.4321815929760158e+08 3.4269654850116330e+08 3.4213832797758359e+08 3.4153322928944665e+08 3.4087323418058836e+08 3.4014859893664324e+08 3.3934834716471052e+08 3.3845588281095743e+08 3.3747723901232654e+08 3.3636944972241873e+08 3.3512744788107592e+08 3.3373321486106539e+08 3.3216735946530396e+08 3.3040988459604597e+08 3.2844073199898058e+08 3.2623692261238557e+08 3.2380552738749874e+08 3.2109825662597281e+08 3.1812685874880093e+08 3.1489820643093348e+08 3.1143762277773231e+08 3.0778819315170860e+08 3.0403192568530172e+08 3.0029012253934222e+08 2.9676641110830462e+08 2.9370682448268700e+08 2.9150721233919954e+08 2.9071512926333541e+08 2.9212881889530236e+08 2.9690746295311445e+08 3.0680781132825601e+08 3.2461033575032967e+08 3.5500723609852427e+08 1.3985701900774279e+08 +6.0768922974324573e+00 4.4708743545434213e+08 4.4704615258863026e+08 4.4697697491161817e+08 4.4688874791235179e+08 4.4680586966925275e+08 4.4676472527040488e+08 4.4678081675791812e+08 4.4682711965750080e+08 4.4687705759213293e+08 4.4692619118062997e+08 4.4697868542284691e+08 4.4703583773940700e+08 4.4709798231843650e+08 4.4716608264873230e+08 4.4724155533305204e+08 4.4732583437088436e+08 4.4742072419439429e+08 4.4752855411055082e+08 4.4765210364009082e+08 4.4779454711022162e+08 4.4795956031267166e+08 4.4815129582787919e+08 4.4837428524707323e+08 4.4863599934149265e+08 4.4895121876194543e+08 4.4932931000695843e+08 4.4977328413774341e+08 4.5029037775811756e+08 4.5089106026522541e+08 4.5158723181038570e+08 4.5239184449433792e+08 4.5331867717284203e+08 4.5438200339479887e+08 4.5559607734082878e+08 4.5697438819488299e+08 4.5852851519169778e+08 4.6026662084603482e+08 4.6219138913270879e+08 4.6429744380787128e+08 4.6656803300037479e+08 4.6915429235759228e+08 4.7182857797066420e+08 4.7449412657923806e+08 4.7701722189774632e+08 4.7922504965722108e+08 4.8090862266410327e+08 4.8183317138236803e+08 4.8175760664844316e+08 4.8046324082062131e+08 4.7778453207026893e+08 4.7363776342615545e+08 4.6806182596146220e+08 4.6122511046318913e+08 4.5336305362205398e+08 4.4477705757800430e+08 4.3580054048072332e+08 4.2674048407925701e+08 4.1786062913704419e+08 4.0935665860896671e+08 4.0137852980783367e+08 3.9400097543166506e+08 3.8727699405340385e+08 3.8120359244094598e+08 3.7578722734255719e+08 3.7099310933191842e+08 3.6678355776409310e+08 3.6313137684210217e+08 3.5998483513048863e+08 3.5728964892980707e+08 3.5501114720384955e+08 3.5308930791033304e+08 3.5149316181234807e+08 3.5017681862074381e+08 3.4910737699119604e+08 3.4823125442851222e+08 3.4749220426769561e+08 3.4685753384056991e+08 3.4629065132188690e+08 3.4574712578999424e+08 3.4535971042526400e+08 3.4496762302580976e+08 3.4456716621702951e+08 3.4414758121235925e+08 3.4371469224400967e+08 3.4325525973463076e+08 3.4278887276628023e+08 3.4226791484024525e+08 3.4171039297424722e+08 3.4110605157403976e+08 3.4044688241152829e+08 3.3972315395963109e+08 3.3892390355332249e+08 3.3803255775270700e+08 3.3705513293523848e+08 3.3594872966726798e+08 3.3470828171029401e+08 3.3331579297462106e+08 3.3175189651539564e+08 3.2999662024674976e+08 3.2802993100206959e+08 3.2582888024952823e+08 3.2340052123284113e+08 3.2069663704520559e+08 3.1772895609629053e+08 3.1450434246629643e+08 3.1104808758621478e+08 3.0740322292864186e+08 3.0365165405379689e+08 2.9991453304775941e+08 2.9639522447471178e+08 2.9333946507970220e+08 2.9114260453410304e+08 2.9035151415925956e+08 2.9176343600894397e+08 2.9653610270261884e+08 3.0642406767938286e+08 3.2420432740723234e+08 3.5456320168000478e+08 1.3950417910492125e+08 +6.0818606202067151e+00 4.4734699971147645e+08 4.4730568396536243e+08 4.4723645109906340e+08 4.4714814214294499e+08 4.4706517161718124e+08 4.4702394490688014e+08 4.4703997599053085e+08 4.4708622216968173e+08 4.4713608696448392e+08 4.4718512280788696e+08 4.4723749280130076e+08 4.4729449024255282e+08 4.4735644375823766e+08 4.4742431048653746e+08 4.4749949997281140e+08 4.4758343787007439e+08 4.4767791850663948e+08 4.4778525917642933e+08 4.4790822524735469e+08 4.4804997440591526e+08 4.4821416285653931e+08 4.4840491989417142e+08 4.4862674588858175e+08 4.4888705826157200e+08 4.4920057347061640e+08 4.4957662201380295e+08 4.5001817980461431e+08 4.5053242689423639e+08 4.5112976108833027e+08 4.5182199876112348e+08 4.5262199524112147e+08 4.5354341808406103e+08 4.5460041341454095e+08 4.5580709031099284e+08 4.5717677389715815e+08 4.5872085953943336e+08 4.6044730607994372e+08 4.6235857535540938e+08 4.6444905391510177e+08 4.6670174394916910e+08 4.6926590329608274e+08 4.7191484630055809e+08 4.7455158761547589e+08 4.7704229041727394e+08 4.7921417693872887e+08 4.8085851499936515e+08 4.8174106531920081e+08 4.8162157902997971e+08 4.8028251025430495e+08 4.7755969350759327e+08 4.7337089813519996e+08 4.6775639179150039e+08 4.6088564018889719e+08 4.5299478939796287e+08 4.4438546050351620e+08 4.3539083599307364e+08 4.2631734200850636e+08 4.1742797376993102e+08 4.0891763010899872e+08 4.0093550474756271e+08 3.9355570819496810e+08 3.8683070413353795e+08 3.8075712671775430e+08 3.7534110973352259e+08 3.7054767057721835e+08 3.6633898975840771e+08 3.6268775240752941e+08 3.5954218433991814e+08 3.5684797833821452e+08 3.5457042762169337e+08 3.5264952987518245e+08 3.5105428578012013e+08 3.4973880888088638e+08 3.4867017878068107e+08 3.4779482081987131e+08 3.4705651055056477e+08 3.4642253981520396e+08 3.4585632176071370e+08 3.4531346023325533e+08 3.4492652673624825e+08 3.4453492978988749e+08 3.4413497509535730e+08 3.4371591663604647e+08 3.4328357104336786e+08 3.4282471712001330e+08 3.4235891002073193e+08 3.4183860599069148e+08 3.4128178387992066e+08 3.4067820095726091e+08 3.4001985903941095e+08 3.3929703880484426e+08 3.3849879133857757e+08 3.3760856583752269e+08 3.3663236195536792e+08 3.3552734688933706e+08 3.3428845526201236e+08 3.3289771355507874e+08 3.3133577911566556e+08 3.2958270490803885e+08 3.2761848289315969e+08 3.2542019510548633e+08 3.2299487711259341e+08 3.2029438483033204e+08 3.1733042666199845e+08 3.1410985807871556e+08 3.1065793878788167e+08 3.0701764628717154e+08 3.0327078340293700e+08 2.9953835189813626e+08 2.9602345314881599e+08 2.9297152701020765e+08 2.9077742239390272e+08 2.8998732627091122e+08 2.9139747755103683e+08 2.9616415746751058e+08 3.0603971954173434e+08 3.2379767948950142e+08 3.5411846783141226e+08 1.3915195824793425e+08 +6.0868289429809730e+00 4.4760330532255578e+08 4.4756195523081142e+08 4.4749266439301431e+08 4.4740427504625231e+08 4.4732121344535106e+08 4.4727990475056869e+08 4.4729587534800547e+08 4.4734206453508449e+08 4.4739185592087823e+08 4.4744079377209765e+08 4.4749303926809877e+08 4.4754988158712059e+08 4.4761164379497075e+08 4.4767927668295723e+08 4.4775418273169833e+08 4.4783777925014001e+08 4.4793185045827961e+08 4.4803870163569820e+08 4.4816108399093127e+08 4.4830213856801045e+08 4.4846550197832495e+08 4.4865528022719717e+08 4.4887594246798354e+08 4.4913485277956474e+08 4.4944666339290822e+08 4.4982066878435600e+08 4.5025980974232024e+08 4.5077120978687775e+08 4.5136519515126765e+08 4.5205349845831084e+08 4.5284887830592173e+08 4.5376489101384002e+08 4.5481555537362599e+08 4.5601483549508345e+08 4.5737589262768674e+08 4.5890993852822357e+08 4.6062472871984601e+08 4.6252250337762803e+08 4.6459741247514111e+08 4.6683221308924943e+08 4.6937428753635663e+08 4.7199790946994632e+08 4.7460587347327518e+08 4.7706422455132109e+08 4.7920022405135572e+08 4.8080539744788843e+08 4.8164603804096860e+08 4.8148273878581452e+08 4.8009909577269560e+08 4.7733231829717767e+08 4.7310165848436737e+08 4.6744875529497272e+08 4.6054414299452269e+08 4.5262467045773202e+08 4.4399217196521974e+08 4.3497959005667514e+08 4.2589279278603303e+08 4.1699402901201808e+08 4.0847741391761798e+08 4.0049137892910564e+08 3.9310941403829437e+08 3.8638344979324400e+08 3.8030974936950755e+08 3.7489412503819585e+08 3.7010140223745567e+08 3.6589362364186907e+08 3.6224335615428442e+08 3.5909878351188904e+08 3.5640557557540780e+08 3.5412899031285989e+08 3.5220904555546075e+08 3.5061471233118963e+08 3.4930010839474922e+08 3.4823229467901987e+08 3.4735770477517253e+08 3.4662013681808984e+08 3.4598686751815885e+08 3.4542131527782178e+08 3.4487911890986747e+08 3.4449266805880749e+08 3.4410156233865708e+08 3.4370211054205519e+08 3.4328357944700831e+08 3.4285177807423121e+08 3.4239350362277710e+08 3.4192827733019435e+08 3.4140862821175140e+08 3.4085250694343942e+08 3.4024968367765492e+08 3.3959217029042947e+08 3.3887025968509144e+08 3.3807301671873665e+08 3.3718391324764347e+08 3.3620893223668236e+08 3.3510530753300619e+08 3.3386797465719777e+08 3.3247898269841248e+08 3.3091901333294868e+08 3.2916814461465871e+08 3.2720639367129254e+08 3.2501087313905638e+08 3.2258860094055837e+08 3.1989150584608877e+08 3.1693127625642365e+08 3.1371475902007914e+08 3.1026718207145798e+08 3.0663146884880543e+08 3.0288931928530443e+08 2.9916158457588750e+08 2.9565110255042040e+08 2.9260301563857889e+08 2.9041167124359238e+08 2.8962257090827060e+08 2.9103094885709238e+08 2.9579163267068809e+08 3.0565477251902217e+08 3.2339039792641675e+08 3.5367304103759933e+08 1.3880035665982413e+08 +6.0917972657552308e+00 4.4785635306272572e+08 4.4781496909012234e+08 4.4774562183792657e+08 4.4765715294369876e+08 4.4757400081427705e+08 4.4753261054322106e+08 4.4754852055414093e+08 4.4759465248365909e+08 4.4764437018988699e+08 4.4769320980385131e+08 4.4774533055663455e+08 4.4780201750944877e+08 4.4786358816811699e+08 4.4793098698172617e+08 4.4800560935858655e+08 4.4808886426516598e+08 4.4818252581084353e+08 4.4828888725717419e+08 4.4841068564997661e+08 4.4855104538650209e+08 4.4871358348032069e+08 4.4890238264563441e+08 4.4912188082187390e+08 4.4937938875362968e+08 4.4968949441366518e+08 4.5006145623437405e+08 4.5049817990463895e+08 4.5100673243467832e+08 4.5159736850292158e+08 4.5228173701072192e+08 4.5307249986806250e+08 4.5398310222291875e+08 4.5502743562877387e+08 4.5621931935973024e+08 4.5757175098085570e+08 4.5909575889918566e+08 4.6079889567412138e+08 4.6268318029961640e+08 4.6474252680695683e+08 4.6695944798469090e+08 4.6947945293606627e+08 4.7207777566219407e+08 4.7465699269034779e+08 4.7708303321476328e+08 4.7918320029877299e+08 4.8074927970219314e+08 4.8154809960618657e+08 4.8134109629572171e+08 4.7991300800538391e+08 4.7710241722746390e+08 4.7283005531184429e+08 4.6713892724632305e+08 4.6020062948094535e+08 4.5225270713689661e+08 4.4359720196835244e+08 4.3456681230736810e+08 4.2546684566554755e+08 4.1655880374298406e+08 4.0803601855973333e+08 4.0004616055302489e+08 3.9266210087144470e+08 3.8593523868586719e+08 3.7986146782402003e+08 3.7444628049053466e+08 3.6965431137861902e+08 3.6544746633660018e+08 3.6179819488312399e+08 3.5865463934497011e+08 3.5596244725432217e+08 3.5368684181984031e+08 3.5176786143689150e+08 3.5017444790589041e+08 3.4886072356681579e+08 3.4779373106296664e+08 3.4691991265151811e+08 3.4618308941064644e+08 3.4555052327566993e+08 3.4498563818932843e+08 3.4444410812512386e+08 3.4405814069161135e+08 3.4366752696398014e+08 3.4326857884148669e+08 3.4285057592168170e+08 3.4241931960477889e+08 3.4196162550345170e+08 3.4149698094628650e+08 3.4097798774579012e+08 3.4042256839730048e+08 3.3982050595583576e+08 3.3916382237320757e+08 3.3844282279639953e+08 3.3764658587496507e+08 3.3675860614840680e+08 3.3578484992609358e+08 3.3468261772491026e+08 3.3344684600057578e+08 3.3205960648330075e+08 3.3050160521780539e+08 3.2875294538534260e+08 3.2679366931926644e+08 3.2460092029322028e+08 3.2218169861523783e+08 3.1948800594174355e+08 3.1653151067429435e+08 3.1331905102637875e+08 3.0987582310960060e+08 3.0624469622050536e+08 3.0250726723929900e+08 2.9878423655041158e+08 2.9527817808601844e+08 2.9223393631513488e+08 2.9004535639274764e+08 2.8925725336659104e+08 2.9066385524844491e+08 2.9541853372047275e+08 3.0526923220007592e+08 3.2298248863091660e+08 3.5322692776477468e+08 1.3844937455539238e+08 +6.0967655885294887e+00 4.4810615095654112e+08 4.4806473128471452e+08 4.4799532867227143e+08 4.4790678187691969e+08 4.4782353938430828e+08 4.4778206804636264e+08 4.4779791736677128e+08 4.4784399177597147e+08 4.4789363552957505e+08 4.4794237666324347e+08 4.4799437242948425e+08 4.4805090377539510e+08 4.4811228264735132e+08 4.4817944715667385e+08 4.4825378563198030e+08 4.4833669869966245e+08 4.4842995035524696e+08 4.4853582184074777e+08 4.4865703603242052e+08 4.4879670068081528e+08 4.4895841319555408e+08 4.4914623299754739e+08 4.4936456681710619e+08 4.4962067207191551e+08 4.4992907244721335e+08 4.5029899031007808e+08 4.5073329627465081e+08 4.5123900086370683e+08 4.5182628722127008e+08 4.5250672055631977e+08 4.5329286613540506e+08 4.5419805800088650e+08 4.5523606056379497e+08 4.5642054839916903e+08 4.5776435557696426e+08 4.5927832741833949e+08 4.6096981387851429e+08 4.6284061324844444e+08 4.6488440425298232e+08 4.6708345622054023e+08 4.6958140737434477e+08 4.7215445308000344e+08 4.7470495382251328e+08 4.7709872533793259e+08 4.7916311499927217e+08 4.8069017146344155e+08 4.8144726007883930e+08 4.8119666194092757e+08 4.7972425758164233e+08 4.7687000108285248e+08 4.7255609944717282e+08 4.6682691840616578e+08 4.5985511023312134e+08 4.5187890975522196e+08 4.4320056050041705e+08 4.3415251236294514e+08 4.2503950988091093e+08 4.1612230682064462e+08 4.0759345254052460e+08 3.9959985780068111e+08 3.9221377658532751e+08 3.8548607844529784e+08 3.7941228949098426e+08 3.7399758330467570e+08 3.6920640504736191e+08 3.6500052474631554e+08 3.6135227537610763e+08 3.5820975851907587e+08 3.5551859997033143e+08 3.5324398866772813e+08 3.5132598398791015e+08 3.4973349892719495e+08 3.4842066078425235e+08 3.4735449429236418e+08 3.4648145078724623e+08 3.4574537465076709e+08 3.4511351339822197e+08 3.4454929679404819e+08 3.4400843416808796e+08 3.4362295091609198e+08 3.4323282994010532e+08 3.4283438626092857e+08 3.4241691231985563e+08 3.4198620188679987e+08 3.4152908900496429e+08 3.4106502710384667e+08 3.4054669081832069e+08 3.3999197445625049e+08 3.3939067399608576e+08 3.3873482147991502e+08 3.3801473431763703e+08 3.3721950497207272e+08 3.3633265068760997e+08 3.3536012115476871e+08 3.3425928357545918e+08 3.3302507537908578e+08 3.3163959097244889e+08 3.3008356080409545e+08 3.2833711322191399e+08 3.2638031580303651e+08 3.2419034249347931e+08 3.2177417601850390e+08 3.1908389094963241e+08 3.1613113569438320e+08 3.1292273981767678e+08 3.0948386755978888e+08 3.0585733399291825e+08 3.0212463278761655e+08 2.9840631327711797e+08 2.9490468514596581e+08 2.9186429437497580e+08 2.8967848313664657e+08 2.8889137892721999e+08 2.9029620203189880e+08 2.9504486601032525e+08 3.0488310415836650e+08 3.2257395749927419e+08 3.5278013446172374e+08 1.3809901214124200e+08 +6.1017339113037465e+00 4.4835270263492751e+08 4.4831125018798220e+08 4.4824179096962965e+08 4.4815316714338231e+08 4.4806983487728465e+08 4.4802828303968537e+08 4.4804407157408255e+08 4.4809008820247006e+08 4.4813965772794420e+08 4.4818830014041203e+08 4.4824017067919523e+08 4.4829654618031573e+08 4.4835773303159684e+08 4.4842466301063746e+08 4.4849871736040795e+08 4.4858128836715358e+08 4.4867412991235065e+08 4.4877951121496814e+08 4.4890014097700864e+08 4.4903911029999286e+08 4.4919999698627967e+08 4.4938683716046894e+08 4.4960400634850460e+08 4.4985870865121007e+08 4.5016540343665671e+08 4.5053327698612529e+08 4.5096516486452180e+08 4.5146802112977439e+08 4.5205195741332805e+08 4.5272845526116478e+08 4.5350998334355271e+08 4.5440976466472942e+08 4.5544143658978081e+08 4.5661852913329750e+08 4.5795371306366241e+08 4.5945765088007206e+08 4.6113749029209840e+08 4.6299480937329775e+08 4.6502305217892528e+08 4.6720424540627199e+08 4.6968015875057805e+08 4.7222794994582158e+08 4.7474976544205117e+08 4.7711130986608815e+08 4.7913997748214036e+08 4.8062808244369626e+08 4.8134352953012592e+08 4.8104944610637540e+08 4.7953285512852585e+08 4.7663508064045596e+08 4.7227980171164018e+08 4.6651273952428174e+08 4.5950759582269275e+08 4.5150328861517841e+08 4.4280225753051603e+08 4.3373669982087851e+08 4.2461079464688867e+08 4.1568454708445793e+08 4.0714972434480661e+08 3.9915247883340961e+08 3.9176444905078048e+08 3.8503597668556857e+08 3.7896222176045352e+08 3.7354804067656773e+08 3.6875769027229905e+08 3.6455280575689489e+08 3.6090560439827412e+08 3.5776414769705790e+08 3.5507404030037946e+08 3.5280043736437106e+08 3.5088341965913326e+08 3.4929187180043894e+08 3.4797992641687626e+08 3.4691459071005338e+08 3.4604232550431097e+08 3.4530699884407926e+08 3.4467584417791754e+08 3.4411229737356573e+08 3.4357210331001699e+08 3.4318710499663621e+08 3.4279747752388120e+08 3.4239953905020130e+08 3.4198259488348818e+08 3.4155243115521711e+08 3.4109590035350430e+08 3.4063242202015054e+08 3.4011474363708067e+08 3.3956073131869650e+08 3.3896019398552096e+08 3.3830517378604728e+08 3.3758600041082138e+08 3.3679178015733045e+08 3.3590605299694759e+08 3.3493475203568214e+08 3.3383531117817551e+08 3.3260266886437833e+08 3.3121894221173728e+08 3.2966488610950357e+08 3.2792065411009300e+08 3.2596633907303464e+08 3.2377914565061682e+08 3.2136603901608419e+08 3.1867916668701816e+08 3.1573015708019775e+08 3.1252583109854782e+08 3.0909132106402332e+08 3.0546938774203199e+08 3.0174142143812776e+08 2.9802782019569981e+08 2.9453062910628539e+08 2.9149409513885278e+08 2.8931105675621760e+08 2.8852495285652775e+08 2.8992799449948871e+08 2.9467063491892976e+08 3.0449639395149821e+08 3.2216481041268325e+08 3.5233266755983144e+08 1.3774926961581910e+08 +6.1067022340780044e+00 4.4859601256159818e+08 4.4855453057969719e+08 4.4848501490957350e+08 4.4839631450190461e+08 4.4831289310595834e+08 4.4827126132283169e+08 4.4828698899328780e+08 4.4833294758457702e+08 4.4838244260320020e+08 4.4843098605515379e+08 4.4848273112748033e+08 4.4853895054958957e+08 4.4859994514956164e+08 4.4866664037680578e+08 4.4874041038119686e+08 4.4882263911206287e+08 4.4891507033247083e+08 4.4901996123774236e+08 4.4914000635119462e+08 4.4927828012254417e+08 4.4943834074391544e+08 4.4962420104082072e+08 4.4984020534120524e+08 4.5009350443821532e+08 4.5039849335485029e+08 4.5076432226636070e+08 4.5119379171468639e+08 4.5169379931693786e+08 4.5227438521351254e+08 4.5294694732006848e+08 4.5372385775679779e+08 4.5461822855907726e+08 4.5564357014625204e+08 4.5681326811113477e+08 4.5813983011463815e+08 4.5963373610183471e+08 4.6130193190035576e+08 4.6314577584927320e+08 4.6515847797477776e+08 4.6732182317221272e+08 4.6977571498562872e+08 4.7229827450111324e+08 4.7479143613865298e+08 4.7712079575971240e+08 4.7911379708945036e+08 4.8056302236381310e+08 4.8123691803643095e+08 4.8089945917767566e+08 4.7933881127275801e+08 4.7639766667461705e+08 4.7200117291731668e+08 4.6619640133822584e+08 4.5915809680569619e+08 4.5112585400299758e+08 4.4240230300909716e+08 4.3331938425983769e+08 4.2418070915799516e+08 4.1524553335305429e+08 4.0670484243788862e+08 3.9870403179277563e+08 3.9131412611879307e+08 3.8458494100203449e+08 3.7851127200315809e+08 3.7309765978342175e+08 3.6830817406396329e+08 3.6410431623533416e+08 3.6045818869508862e+08 3.5731781352285475e+08 3.5462877480438739e+08 3.5235619439946759e+08 3.5044017488325185e+08 3.4884957291308343e+08 3.4753852681692183e+08 3.4647402664087433e+08 3.4560254310667342e+08 3.4486796827851903e+08 3.4423752189030159e+08 3.4367464619183195e+08 3.4313512180488932e+08 3.4275060918037206e+08 3.4236147595571113e+08 3.4196404344167483e+08 3.4154762983784515e+08 3.4111801362667024e+08 3.4066206575839132e+08 3.4019917189627284e+08 3.3968215239330268e+08 3.3912884516539890e+08 3.3852907209429467e+08 3.3787488544942921e+08 3.3715662722107363e+08 3.3636341756111336e+08 3.3547881919102067e+08 3.3450874866586143e+08 3.3341070661003619e+08 3.3217963251074898e+08 3.3079766622992831e+08 3.2924558713470674e+08 3.2750357401916802e+08 3.2555174506232697e+08 3.2336733565815586e+08 3.2095729345853496e+08 3.1827383895485109e+08 3.1532858057859087e+08 3.1212833055792189e+08 3.0869818924872112e+08 3.0508086302838868e+08 3.0135763868338448e+08 2.9764876273126733e+08 2.9415601532881862e+08 2.9112334391289729e+08 2.8894308251791954e+08 2.8815798040655410e+08 2.8955923792882985e+08 2.9429584581035751e+08 3.0410910712269938e+08 3.2175505323508251e+08 3.5188453347225779e+08 1.3740014716945487e+08 +6.1116705568522622e+00 4.4883609045028681e+08 4.4879457579940665e+08 4.4872500642428476e+08 4.4863622994368505e+08 4.4855271995114994e+08 4.4851100871727061e+08 4.4852667547189170e+08 4.4857257577196640e+08 4.4862199600200099e+08 4.4867044025555676e+08 4.4872205962600863e+08 4.4877812273735338e+08 4.4883892485917515e+08 4.4890538511709815e+08 4.4897887056131977e+08 4.4906075680636144e+08 4.4915277749479610e+08 4.4925717779648918e+08 4.4937663805110687e+08 4.4951421605624121e+08 4.4967345038888216e+08 4.4985833057455087e+08 4.5007316974840516e+08 4.5032506540794539e+08 4.5062834820300668e+08 4.5099213218302137e+08 4.5141918289469230e+08 4.5191634153768617e+08 4.5249357678547555e+08 4.5316220295533407e+08 4.5393449566657680e+08 4.5482345605628353e+08 4.5584246769817555e+08 4.5700477190634811e+08 4.5832271342958236e+08 4.5980658992898941e+08 4.6146314571373594e+08 4.6329351987549871e+08 4.6529068905347848e+08 4.6743619717175329e+08 4.6986808402059525e+08 4.7236543500530171e+08 4.7482997451987708e+08 4.7712719199285740e+08 4.7908458317537254e+08 4.8049500095233077e+08 4.8112743567896134e+08 4.8074671154359543e+08 4.7914213663817346e+08 4.7615776995246410e+08 4.7172022386723155e+08 4.6587791457348537e+08 4.5880662372390991e+08 4.5074661618711907e+08 4.4200070686894828e+08 4.3290057523923254e+08 4.2374926258915287e+08 4.1480527442520577e+08 4.0625881526464874e+08 3.9825452480003339e+08 3.9086281562112540e+08 3.8413297897037107e+08 3.7805944757148480e+08 3.7264644778310555e+08 3.6785786341311747e+08 3.6365506303068984e+08 3.6001003499496078e+08 3.5687076262309051e+08 3.5418281002351791e+08 3.5191126624444395e+08 3.4999625607595003e+08 3.4840660863545322e+08 3.4709646831872201e+08 3.4603280839217788e+08 3.4516210988114005e+08 3.4442828922476184e+08 3.4379855279230684e+08 3.4323634949588656e+08 3.4269749588939583e+08 3.4231346969678688e+08 3.4192483145801121e+08 3.4152790565107220e+08 3.4111202339066094e+08 3.4068295550128049e+08 3.4022759141108686e+08 3.3976528291501129e+08 3.3924892326108092e+08 3.3869632216017503e+08 3.3809731447536081e+08 3.3744396261142045e+08 3.3672662087624401e+08 3.3593442329758525e+08 3.3505095536715525e+08 3.3408211712518901e+08 3.3298547593077743e+08 3.3175597235569638e+08 3.3037576903990376e+08 3.2882566986398417e+08 3.2708587890146136e+08 3.2513653968826300e+08 3.2295491839324617e+08 3.2054794517877597e+08 3.1786791353770113e+08 3.1492641192091399e+08 3.1173024386928010e+08 3.0830447772420835e+08 3.0469176539700782e+08 3.0097329000083953e+08 2.9726914629393137e+08 2.9378084915945733e+08 2.9075204598817593e+08 2.8857456567329931e+08 2.8779046681458044e+08 2.8918993758273304e+08 2.9392050403348696e+08 3.0372124919886172e+08 3.2134469181476873e+08 3.5143573859490931e+08 1.3705164498440784e+08 +6.1166388796265201e+00 4.4907294198186892e+08 4.4903139571014994e+08 4.4896177026326090e+08 4.4887291899210250e+08 4.4878932136525273e+08 4.4874753107344788e+08 4.4876313688256592e+08 4.4880897864354378e+08 4.4885832380080402e+08 4.4890666861950153e+08 4.4895816205439848e+08 4.4901406862695986e+08 4.4907467804696614e+08 4.4914090312188542e+08 4.4921410379690886e+08 4.4929564735166848e+08 4.4938725730754769e+08 4.4949116680699736e+08 4.4961004200219518e+08 4.4974692403699517e+08 4.4990533186985976e+08 4.5008923172583121e+08 4.5030290555282962e+08 4.5055339756389016e+08 4.5085497401029503e+08 4.5121671279713988e+08 4.5164134450193155e+08 4.5213565393212068e+08 4.5270953831963348e+08 4.5337422841671592e+08 4.5414190339180499e+08 4.5502545355542141e+08 4.5603813573878980e+08 4.5719304711991483e+08 4.5850236973490226e+08 4.5997621923127633e+08 4.6162113876583755e+08 4.6343804867435336e+08 4.6541969284929627e+08 4.6754737507908714e+08 4.6995727381753403e+08 4.7242943973829484e+08 4.7486538920845813e+08 4.7713050755502313e+08 4.7905234510517442e+08 4.8042402794760907e+08 4.8101509254548550e+08 4.8059121359356326e+08 4.7894284184681785e+08 4.7591540123618633e+08 4.7143696535573906e+08 4.6555728994352680e+08 4.5845318710347098e+08 4.5036558541964167e+08 4.4159747902371633e+08 4.3248028229894674e+08 4.2331646409493023e+08 4.1436377907941705e+08 4.0581165125010163e+08 3.9780396595664132e+08 3.9041052537004018e+08 3.8368009814660317e+08 3.7760675579792470e+08 3.7219441181500465e+08 3.6740676529255342e+08 3.6320505297306961e+08 3.5956115000716925e+08 3.5642300160571033e+08 3.5373615248188877e+08 3.5146565935348374e+08 3.4955166963454700e+08 3.4796298531959474e+08 3.4665375723991203e+08 3.4559094225411314e+08 3.4472103209693313e+08 3.4398796793571430e+08 3.4335894312524408e+08 3.4279741351516831e+08 3.4225923178329027e+08 3.4187569275830662e+08 3.4148755023620820e+08 3.4109113187621677e+08 3.4067578173272538e+08 3.4024726296196032e+08 3.3979248348642653e+08 3.3933076124253237e+08 3.3881506239679575e+08 3.3826316844994497e+08 3.3766492726423419e+08 3.3701241139595288e+08 3.3629598748752022e+08 3.3550480346300340e+08 3.3462246760618490e+08 3.3365486347659886e+08 3.3255962518323171e+08 3.3133169441978586e+08 3.2995325663692391e+08 3.2840514026521820e+08 3.2666757469317698e+08 3.2472072885138404e+08 3.2254189971724945e+08 3.2013799999419701e+08 3.1746139620433700e+08 3.1452365682250160e+08 3.1133157668940490e+08 3.0791019208640653e+08 3.0430210037727791e+08 3.0058838085251814e+08 2.9688897627841020e+08 2.9340513592996806e+08 2.9038020664131552e+08 2.8820551145948738e+08 2.8742241730372858e+08 2.8882009870963609e+08 2.9354461492246455e+08 3.0333282569221467e+08 3.2093373198380560e+08 3.5098628930562913e+08 1.3670376323490506e+08 +6.1216072024007779e+00 4.4930657336641091e+08 4.4926499152493447e+08 4.4919531554331350e+08 4.4910638765983832e+08 4.4902270337126034e+08 4.4898083427633476e+08 4.4899637912673217e+08 4.4904216210580546e+08 4.4909143190419203e+08 4.4913967705334502e+08 4.4919104432167095e+08 4.4924679412991488e+08 4.4930721062840164e+08 4.4937320031083465e+08 4.4944611601192069e+08 4.4952731667802256e+08 4.4961851570757210e+08 4.4972193421400958e+08 4.4984022415852159e+08 4.4997641002955365e+08 4.5013399116483063e+08 4.5031691048740202e+08 4.5052941876470751e+08 4.5077850693819255e+08 4.5107837683467221e+08 4.5143807019705391e+08 4.5186028266170329e+08 4.5235174266965938e+08 4.5292227603493559e+08 4.5358302998193473e+08 4.5434608727850133e+08 4.5522422748297197e+08 4.5623058078724515e+08 4.5737810037910706e+08 4.5867880578146458e+08 4.6014263090286577e+08 4.6177591811682701e+08 4.6357936949169999e+08 4.6554549682089776e+08 4.6765536459040374e+08 4.7004329235786617e+08 4.7249029699673057e+08 4.7489768884443820e+08 4.7713075144902480e+08 4.7901709225543827e+08 4.8035011309608364e+08 4.8089989872803187e+08 4.8043297571891260e+08 4.7874093751883477e+08 4.7567057128190649e+08 4.7115140816631645e+08 4.6523453814861929e+08 4.5809779745606750e+08 4.4998277193538690e+08 4.4119262936906540e+08 4.3205851495956063e+08 4.2288232281003672e+08 4.1392105607421744e+08 4.0536335879834217e+08 3.9735236334483761e+08 3.8995726315728164e+08 3.8322630606798464e+08 3.7715320399600947e+08 3.7174155899945724e+08 3.6695488665667093e+08 3.6275429287438762e+08 3.5911154042338997e+08 3.5597453706098694e+08 3.5328880868485731e+08 3.5101938016295719e+08 3.4910642193854511e+08 3.4751870930064929e+08 3.4621039987960929e+08 3.4514843449899781e+08 3.4427931600604218e+08 3.4354701064732850e+08 3.4291869911150318e+08 3.4235784446168542e+08 3.4182033568852788e+08 3.4143728456004030e+08 3.4104963847820944e+08 3.4065372829821557e+08 3.4023891103703451e+08 3.3981094217444646e+08 3.3935674814156526e+08 3.3889561302799666e+08 3.3838057594043547e+08 3.3782939016428256e+08 3.3723191658010048e+08 3.3658023790951985e+08 3.3586473314866191e+08 3.3507456413714141e+08 3.3419336197139871e+08 3.3322699376600736e+08 3.3213316039405245e+08 3.3090680470723462e+08 3.2953013500038081e+08 3.2798400428864795e+08 3.2624866731362790e+08 3.2430431843601900e+08 3.2212828547503787e+08 3.1972746370611334e+08 3.1705429270740932e+08 3.1412032098282403e+08 3.1093233466021132e+08 3.0751533791450399e+08 3.0391187348379028e+08 3.0020291668531483e+08 2.9650825806480432e+08 2.9302888095708269e+08 2.9000783113459867e+08 2.8783592509902203e+08 2.8705383708215946e+08 2.8844972654309934e+08 2.9316818379644358e+08 3.0294384209962863e+08 3.2052217955724865e+08 3.5053619196425068e+08 1.3635650208718410e+08 +6.1265755251750358e+00 4.4953698481258929e+08 4.4949537597556299e+08 4.4942564508601356e+08 4.4933664218718451e+08 4.4925287197329825e+08 4.4921092424775505e+08 4.4922640813190812e+08 4.4927213209205353e+08 4.4932132624527180e+08 4.4936947149168527e+08 4.4942071236488450e+08 4.4947630518736875e+08 4.4953652854782808e+08 4.4960228263230222e+08 4.4967491315905386e+08 4.4975577074391520e+08 4.4984655866007078e+08 4.4994948599092108e+08 4.5006719050220543e+08 4.5020268002713680e+08 4.5035943427962112e+08 4.5054137288033289e+08 4.5075271542276990e+08 4.5100039959082341e+08 4.5129856276207954e+08 4.5165621049992055e+08 4.5207600352719045e+08 4.5256461394513977e+08 4.5313179617759061e+08 4.5378861395553327e+08 4.5454705369994551e+08 4.5541978429171938e+08 4.5641980938853985e+08 4.5755993833621866e+08 4.5885202834668070e+08 4.6030583186356264e+08 4.6192749084893334e+08 4.6371748959729302e+08 4.6566810844932938e+08 4.6776017342310661e+08 4.7012614764266253e+08 4.7254801509592742e+08 4.7492688208378202e+08 4.7712793269180685e+08 4.7897883401441741e+08 4.8027326615181714e+08 4.8078186432338232e+08 4.8027200831307644e+08 4.7853643427189797e+08 4.7542329083958137e+08 4.7086356307505846e+08 4.6490966987703103e+08 4.5774046527843571e+08 4.4959818595231479e+08 4.4078616778166717e+08 4.3163528272156113e+08 4.2244684784912342e+08 4.1347711414733797e+08 4.0491394629426336e+08 3.9689972502501500e+08 3.8950303675540394e+08 3.8277161025115919e+08 3.7669879946040857e+08 3.7128789643768644e+08 3.6650223444035739e+08 3.6230278952793759e+08 3.5866121291664118e+08 3.5552537556071937e+08 3.5284078512032622e+08 3.5057243509123915e+08 3.4866051935057521e+08 3.4707378689546812e+08 3.4576640251989758e+08 3.4470529138185811e+08 3.4383696784247613e+08 3.4310542357825851e+08 3.4247782695670164e+08 3.4191764853014386e+08 3.4138081378968775e+08 3.4099825127996492e+08 3.4061110235467100e+08 3.4021570108049279e+08 3.3980141745982552e+08 3.3937399928680193e+08 3.3892039151654702e+08 3.3845984440281731e+08 3.3794547001369852e+08 3.3739499341518813e+08 3.3679828852424026e+08 3.3614744824253470e+08 3.3543286393681705e+08 3.3464371138239878e+08 3.3376364450995117e+08 3.3279851402264297e+08 3.3170608757212025e+08 3.3048130920515054e+08 3.2910641009239644e+08 3.2756226786919552e+08 3.2582916266581053e+08 3.2388731430991167e+08 3.2171408149470198e+08 3.1931634209904450e+08 3.1664660878336936e+08 3.1371641008525705e+08 3.1053252340730888e+08 3.0711992077219850e+08 3.0352109021475834e+08 2.9981690293089336e+08 2.9612699701766461e+08 2.9265208954261500e+08 2.8963492471490371e+08 2.8746581179964030e+08 2.8668473134379423e+08 2.8807882630215907e+08 2.9279121596019083e+08 3.0255430390197021e+08 3.2011004033498549e+08 3.5008545291328299e+08 1.3600986169953415e+08 +6.1315438479492936e+00 4.4976418776203054e+08 4.4972254584158564e+08 4.4965276441002303e+08 4.4956368872065276e+08 4.4947983306739628e+08 4.4943780694779307e+08 4.4945322985422003e+08 4.4949889456352025e+08 4.4954801278524715e+08 4.4959605789722484e+08 4.4964717214971316e+08 4.4970260776694572e+08 4.4976263777697003e+08 4.4982815606176484e+08 4.4990050121978343e+08 4.4998101553627002e+08 4.5007139215850711e+08 4.5017382813840711e+08 4.5029094704351562e+08 4.5042574005088550e+08 4.5058166724785835e+08 4.5076262495317513e+08 4.5097280159389985e+08 4.5121908160922474e+08 4.5151553790613908e+08 4.5187113985007459e+08 4.5228851327889538e+08 4.5277427398264170e+08 4.5333810502056581e+08 4.5399098666956764e+08 4.5474480905588841e+08 4.5561213046037924e+08 4.5660582811466879e+08 4.5773856766984093e+08 4.5902204423209852e+08 4.6046582905782682e+08 4.6207586406942731e+08 4.6385241628347075e+08 4.6578753523607647e+08 4.6786180931517851e+08 4.7020584769290769e+08 4.7260260236893791e+08 4.7495297759749973e+08 4.7712206031396943e+08 4.7893757978122181e+08 4.8019349687765753e+08 4.8066099943357450e+08 4.8010832176916826e+08 4.7832934272051948e+08 4.7517357065267718e+08 4.7057344084709871e+08 4.6458269580352437e+08 4.5738120105096763e+08 4.4921183767028344e+08 4.4037810411942303e+08 4.3121059506617522e+08 4.2201004830696362e+08 4.1303196201673901e+08 4.0446342210197282e+08 3.9644605903939176e+08 3.8904785391687703e+08 3.8231601819422036e+08 3.7624354946564537e+08 3.7083343121206051e+08 3.6604881556036603e+08 3.6185054970891362e+08 3.5821017414138424e+08 3.5507552365921164e+08 3.5239208825777060e+08 3.5012483053900880e+08 3.4821396821434468e+08 3.4662822440361708e+08 3.4532177142504674e+08 3.4426151913999867e+08 3.4339399382323492e+08 3.4266321292873311e+08 3.4203633284894627e+08 3.4147683189779359e+08 3.4094067225389731e+08 3.4055859907792252e+08 3.4017194801876658e+08 3.3977705636906779e+08 3.3936330713972747e+08 3.3893644042994648e+08 3.3848341973426855e+08 3.3802346148153001e+08 3.3750975072248572e+08 3.3695998429816520e+08 3.3636404918138778e+08 3.3571404846727449e+08 3.3500038591156369e+08 3.3421225124439687e+08 3.3333332125129336e+08 3.3236943025866079e+08 3.3127841271042275e+08 3.3005521388365740e+08 3.2868208785824394e+08 3.2713993692422032e+08 3.2540906663589561e+08 3.2346972232409662e+08 3.2129929358831549e+08 3.1890464094211429e+08 3.1623835015274549e+08 3.1331192979711145e+08 3.1013214854046434e+08 3.0672394620818800e+08 3.0312975605355942e+08 2.9943034500569373e+08 2.9574519848685092e+08 2.9227476697341651e+08 2.8926149261432701e+08 2.8709517675460780e+08 2.8631510526760417e+08 2.8770740319115800e+08 2.9241371670256287e+08 3.0216421656513911e+08 3.1969732009985900e+08 3.4963407847713494e+08 1.3566384222233766e+08 +6.1365121707235515e+00 4.4998818555715424e+08 4.4994651705070931e+08 4.4987668267520523e+08 4.4978753308385152e+08 4.4970359250113738e+08 4.4966148837274587e+08 4.4967685027743769e+08 4.4972245550671321e+08 4.4977149751366603e+08 4.4981944226163763e+08 4.4987042966960210e+08 4.4992570786622733e+08 4.4998554431612432e+08 4.5005082660406864e+08 4.5012288620317936e+08 4.5020305706940079e+08 4.5029302222375977e+08 4.5039496668556547e+08 4.5051149982103622e+08 4.5064559614953524e+08 4.5080069613138890e+08 4.5098067278293931e+08 4.5118968337234467e+08 4.5143455910936570e+08 4.5172930840760463e+08 4.5208286441877896e+08 4.5249781812504870e+08 4.5298072903190064e+08 4.5354120886435395e+08 4.5419015448178118e+08 4.5493935977269292e+08 4.5580127249489570e+08 4.5678864356258166e+08 4.5791399508380729e+08 4.5918886026467282e+08 4.6062262945373642e+08 4.6222104490868640e+08 4.6398415686531156e+08 4.6590378470559180e+08 4.6796028002582228e+08 4.7028240054891163e+08 4.7265406716645956e+08 4.7497598407373923e+08 4.7711314335878086e+08 4.7889333896475220e+08 4.8011081504385000e+08 4.8053731416396773e+08 4.7994192648186499e+08 4.7811967347748846e+08 4.7492142145899463e+08 4.7028105223796493e+08 4.6425362659116054e+08 4.5702001523957878e+08 4.4882373727233684e+08 4.3996844822122252e+08 4.3078446145459521e+08 4.2157193325756913e+08 4.1258560837978774e+08 4.0401179456510568e+08 3.9599137340921682e+08 3.8859172237412655e+08 3.8185953737486309e+08 3.7578746126803958e+08 3.7037817038594162e+08 3.6559463691466117e+08 3.6139758017334056e+08 3.5775843073463392e+08 3.5462498789140117e+08 3.5194272454880065e+08 3.4967657288830239e+08 3.4776677485678732e+08 3.4618202810681719e+08 3.4487651284139431e+08 3.4381712399308705e+08 3.4295040014744353e+08 3.4222038488226449e+08 3.4159422295871574e+08 3.4103540072449219e+08 3.4049991723152208e+08 3.4011833409722269e+08 3.3973218160667711e+08 3.3933780029311371e+08 3.3892458619793546e+08 3.3849827171765113e+08 3.3804583890007931e+08 3.3758647036116618e+08 3.3707342415432519e+08 3.3652436889136529e+08 3.3592920461841202e+08 3.3528004463936740e+08 3.3456730511539340e+08 3.3378018975148666e+08 3.3290239820748323e+08 3.3193974846907419e+08 3.3085014178397787e+08 3.2962852469628316e+08 3.2825717422688055e+08 3.2671701735456270e+08 3.2498838509365952e+08 3.2305154831321436e+08 3.2088392755122304e+08 3.1849236598698813e+08 3.1582952251962429e+08 3.1290688577007967e+08 3.0973121565418673e+08 3.0632741975477028e+08 3.0273787646837759e+08 2.9904324831084216e+08 2.9536286780707639e+08 2.9189691852150923e+08 2.8888754005080026e+08 2.8672402514240444e+08 2.8594496401800883e+08 2.8733546239976227e+08 2.9203569129855359e+08 3.0177358553965902e+08 3.1928402461826748e+08 3.4918207496213865e+08 1.3531844379811180e+08 +6.1414804934978093e+00 4.5020898686727327e+08 4.5016728854975921e+08 4.5009740265562677e+08 4.5000818093635249e+08 4.4992415622103608e+08 4.4988197454677075e+08 4.4989727541459537e+08 4.4994282093506277e+08 4.4999178644696736e+08 4.5003963060296011e+08 4.5009049094568157e+08 4.5014561150843292e+08 4.5020525419308865e+08 4.5027030029047614e+08 4.5034207414565778e+08 4.5042190138589364e+08 4.5051145490495503e+08 4.5061290768899536e+08 4.5072885489988583e+08 4.5086225439964128e+08 4.5101652701967412e+08 4.5119552247324055e+08 4.5140336687957805e+08 4.5164683823354208e+08 4.5193988043476766e+08 4.5229139040529054e+08 4.5270392430017382e+08 4.5318398537096143e+08 4.5374111403565770e+08 4.5438612377724749e+08 4.5513071230272293e+08 4.5598721692604518e+08 4.5696826235523421e+08 4.5808622730710095e+08 4.5935248329579800e+08 4.6077624004372907e+08 4.6236304052085465e+08 4.6411271868115085e+08 4.6601686440456468e+08 4.6805559333450371e+08 4.7035581427018547e+08 4.7270241785684812e+08 4.7499591021494210e+08 4.7710119088334185e+08 4.7884612098539358e+08 4.8002523042755121e+08 4.8041081862544829e+08 4.7977283284657562e+08 4.7790743715118074e+08 4.7466685398827773e+08 4.6998640799279779e+08 4.6392247288886523e+08 4.5665691829407078e+08 4.4843389492375189e+08 4.3955720990723193e+08 4.3035689132859951e+08 4.2113251175490248e+08 4.1213806191313738e+08 4.0355907200705504e+08 3.9553567613507026e+08 3.8813464984032172e+08 3.8140217525179780e+08 3.7533054210377151e+08 3.6992212100361973e+08 3.6513970538189048e+08 3.6094388765904427e+08 3.5730598931417120e+08 3.5417377477528960e+08 3.5149270042710465e+08 3.4922766850414157e+08 3.4731894558613372e+08 3.4573520426916522e+08 3.4443063299832630e+08 3.4337211214342576e+08 3.4250619299685413e+08 3.4177694560479850e+08 3.4115150343930393e+08 3.4059336115252322e+08 3.4005855485461527e+08 3.3967746246332997e+08 3.3929180923716563e+08 3.3889793896361619e+08 3.3848526073877448e+08 3.3805949924627632e+08 3.3760765510249281e+08 3.3714887712184572e+08 3.3663649637986463e+08 3.3608815325512356e+08 3.3549376088558149e+08 3.3484544279714423e+08 3.3413362757419145e+08 3.3334753291502428e+08 3.3247088137517256e+08 3.3150947463232028e+08 3.3042128075138062e+08 3.2920124757950604e+08 3.2783167511005408e+08 3.2629351504447490e+08 3.2456712389213037e+08 3.2263279809546834e+08 3.2046798916305202e+08 3.1807952297040176e+08 3.1542013157193589e+08 3.1250128363897759e+08 3.0932973032613224e+08 3.0593034692889094e+08 3.0234545691127372e+08 2.9865561823155063e+08 2.9498001029754543e+08 2.9151854944367057e+08 2.8851307222702771e+08 2.8635236212695450e+08 2.8557431274507481e+08 2.8696300910266006e+08 2.9165714500730908e+08 3.0138241626019078e+08 3.1887015964059216e+08 3.4872944865710914e+08 1.3497366656154913e+08 +6.1464488162720672e+00 4.5042659617825574e+08 4.5038486814175689e+08 4.5031493154957139e+08 4.5022563812196273e+08 4.5014153031713647e+08 4.5009927152016598e+08 4.5011451130676448e+08 4.5015999688845277e+08 4.5020888562946022e+08 4.5025662896763188e+08 4.5030736202679545e+08 4.5036232474595255e+08 4.5042177346322596e+08 4.5048658318090105e+08 4.5055807111133397e+08 4.5063755455538195e+08 4.5072669627857041e+08 4.5082765723303229e+08 4.5094301837365603e+08 4.5107572090506649e+08 4.5122916602853686e+08 4.5140718015621239e+08 4.5161385826430392e+08 4.5185592515171307e+08 4.5214726018292445e+08 4.5249672403517175e+08 4.5290683806620193e+08 4.5338404930272931e+08 4.5393782688736504e+08 4.5457890096705377e+08 4.5531887312452245e+08 4.5616997031127524e+08 4.5714469114083570e+08 4.5825527109364766e+08 4.5951292020130551e+08 4.6092666784415954e+08 4.6250185808309931e+08 4.6423810909090823e+08 4.6612678189945537e+08 4.6814775704076457e+08 4.7042609693444300e+08 4.7274766282501405e+08 4.7501276473877221e+08 4.7708621195723045e+08 4.7879593527355504e+08 4.7993675281332457e+08 4.8028152293136758e+08 4.7960105125875294e+08 4.7769264434746289e+08 4.7440987896495825e+08 4.6968951884678417e+08 4.6358924533275968e+08 4.5629192064834505e+08 4.4804232077176625e+08 4.3914439897858614e+08 4.2992789410936028e+08 4.2069179283268148e+08 4.1168933127361417e+08 4.0310526273122013e+08 3.9507897519833118e+08 3.8767664400768536e+08 3.8094393926374441e+08 3.7487279919005686e+08 3.6946529009019953e+08 3.6468402782251263e+08 3.6048947888531500e+08 3.5685285647939324e+08 3.5372189081003362e+08 3.5104202230824971e+08 3.4877812373304600e+08 3.4687048669345760e+08 3.4528775913637680e+08 3.4398413810695386e+08 3.4292648977543938e+08 3.4206137853512651e+08 3.4133290124440128e+08 3.4070818042586690e+08 3.4015071930665767e+08 3.3961659123834491e+08 3.3923599028393787e+08 3.3885083701059550e+08 3.3845747847473800e+08 3.3804533684827912e+08 3.3762012909437406e+08 3.3716887441181135e+08 3.3671068782568604e+08 3.3619897345207745e+08 3.3565134343315572e+08 3.3505772401531047e+08 3.3441024896173340e+08 3.3369935929584932e+08 3.3291428672936893e+08 3.3203877673213077e+08 3.3107861470919907e+08 3.2999183555422771e+08 3.2877338845304728e+08 3.2740559640255034e+08 3.2586943586093527e+08 3.2414528886704379e+08 3.2221347747253853e+08 3.2005148418588442e+08 3.1766611761111593e+08 3.1501018298143589e+08 3.1209512902398223e+08 3.0892769811908191e+08 3.0553273323175895e+08 3.0195250281879783e+08 2.9826746013886970e+08 2.9459663126285887e+08 2.9113966498207885e+08 2.8813809433117688e+08 2.8598019285739005e+08 2.8520315658376014e+08 2.8659004846004218e+08 2.9127808307352638e+08 3.0099071414623839e+08 3.1845573090080291e+08 3.4827620583284247e+08 1.3462951063955915e+08 +6.1514171390463250e+00 4.5064102190164149e+08 4.5059926244697845e+08 4.5052927480173099e+08 4.5043991065839630e+08 4.5035572092555910e+08 4.5031338536479867e+08 4.5032856402472854e+08 4.5037398943285215e+08 4.5042280113212484e+08 4.5047044342870986e+08 4.5052104898927349e+08 4.5057585365815121e+08 4.5063510820963067e+08 4.5069968136103213e+08 4.5077088319168800e+08 4.5085002267479455e+08 4.5093875244798934e+08 4.5103922142849374e+08 4.5115399636269039e+08 4.5128600179681724e+08 4.5143861930173022e+08 4.5161565198918521e+08 4.5182116370326114e+08 4.5206182606092364e+08 4.5235145387412095e+08 4.5269887156094646e+08 4.5310656571151626e+08 4.5358092715838385e+08 4.5413135379949802e+08 4.5476849248808581e+08 4.5550384874184990e+08 4.5634953923267335e+08 4.5731793659238797e+08 4.5842113322174293e+08 4.5967017788122886e+08 4.6107391989478409e+08 4.6263750479522115e+08 4.6436033547663671e+08 4.6623354477871996e+08 4.6823677896364814e+08 4.7049325663849109e+08 4.7278981047316390e+08 4.7502655637833691e+08 4.7706821566245067e+08 4.7874279126912880e+08 4.7984539199316937e+08 4.8014943719980252e+08 4.7942659211436933e+08 4.7747530566955900e+08 4.7415050710637212e+08 4.6939039552512223e+08 4.6325395454529148e+08 4.5592503272123486e+08 4.4764902494675231e+08 4.3873002521737307e+08 4.2949747919869316e+08 4.2024978550403452e+08 4.1123942509692323e+08 4.0265037501989871e+08 3.9462127855919814e+08 3.8721771254933363e+08 3.8048483683018720e+08 3.7441423972424304e+08 3.6900768465167636e+08 3.6422761107756531e+08 3.6003436055253905e+08 3.5639903881207424e+08 3.5326934247653681e+08 3.5059069658983576e+08 3.4832794490381020e+08 3.4642140445170408e+08 3.4483969893746549e+08 3.4353703436051482e+08 3.4248026305582470e+08 3.4161596290897852e+08 3.4088825793151420e+08 3.4026426003668344e+08 3.3970748129453248e+08 3.3917403247994703e+08 3.3879392365024382e+08 3.3840927101121461e+08 3.3801642490315795e+08 3.3760482059627068e+08 3.3718016732394195e+08 3.3672950288218242e+08 3.3627190851825017e+08 3.3576086140760618e+08 3.3521394545124346e+08 3.3462110002366209e+08 3.3397446913728815e+08 3.3326450627178437e+08 3.3248045717156792e+08 3.3160609023965627e+08 3.3064717464390153e+08 3.2956181211724967e+08 3.2834495321954238e+08 3.2697894398276126e+08 3.2544478565481782e+08 3.2372288583892888e+08 3.2179359222911346e+08 3.1963441836617708e+08 3.1725215561292899e+08 3.1459968240391946e+08 3.1168842752773416e+08 3.0852512457901973e+08 3.0513458414901364e+08 3.0155901961222923e+08 2.9787877938732404e+08 2.9421273599216831e+08 2.9076027036378658e+08 2.8776261153603673e+08 2.8560752246801734e+08 2.8483150065458471e+08 2.8621658561736441e+08 2.9089851072679919e+08 3.0059848460177165e+08 3.1804074411620820e+08 3.4782235274199235e+08 1.3428597615130886e+08 +6.1563854618205829e+00 4.5085226619773018e+08 4.5081047606231838e+08 4.5074044029091090e+08 4.5065100542167914e+08 4.5056673413036406e+08 4.5052432217619836e+08 4.5053943966642922e+08 4.5058480466081601e+08 4.5063353905327934e+08 4.5068108008689082e+08 4.5073155793624318e+08 4.5078620435057539e+08 4.5084526454106432e+08 4.5090960094532704e+08 4.5098051650519609e+08 4.5105931186829871e+08 4.5114762954368061e+08 4.5124760641378039e+08 4.5136179501379305e+08 4.5149310323292518e+08 4.5164489300966597e+08 4.5182094415791452e+08 4.5202528939800441e+08 4.5226454718411463e+08 4.5255246775696486e+08 4.5289783926130724e+08 4.5330311355026746e+08 4.5377462529361427e+08 4.5432170117702186e+08 4.5495490480318224e+08 4.5568564568472898e+08 4.5652593029746616e+08 4.5748800540832269e+08 4.5858382049455065e+08 4.5982426325996661e+08 4.6121800325889683e+08 4.6276998787955469e+08 4.6447940524281412e+08 4.6633716065177214e+08 4.6832266694389331e+08 4.7055730149701202e+08 4.7282886922013992e+08 4.7503729388054007e+08 4.7704721109337783e+08 4.7868669842149091e+08 4.7975115776503527e+08 4.8001457155177671e+08 4.7924946580890346e+08 4.7725543171551192e+08 4.7388874912109172e+08 4.6908904874172747e+08 4.6291661113591784e+08 4.5555626491421771e+08 4.4725401756011313e+08 4.3831409838578075e+08 4.2906565597816622e+08 4.1980649876173860e+08 4.1078835199804497e+08 4.0219441713490242e+08 3.9416259415819055e+08 3.8675786311770993e+08 3.8002487534996104e+08 3.7395487088492018e+08 3.6854931167525584e+08 3.6377046196951318e+08 3.5957853934257245e+08 3.5594454287454969e+08 3.5281613623728442e+08 3.5013872965060258e+08 3.4787713832726198e+08 3.4597170511542988e+08 3.4439102988262379e+08 3.4308932793533379e+08 3.4203343813400120e+08 3.4116995224726623e+08 3.4044302177947289e+08 3.3981974837215781e+08 3.3926365320554721e+08 3.3873088465978456e+08 3.3835126863463855e+08 3.3796711730507624e+08 3.3757478430800730e+08 3.3716371803410757e+08 3.3673961997901005e+08 3.3628954654937106e+08 3.3583254522682488e+08 3.3532216626475489e+08 3.3477596531900293e+08 3.3418389490863806e+08 3.3353810931006265e+08 3.3282907447616708e+08 3.3204605020126587e+08 3.3117282784221852e+08 3.3021516036350459e+08 3.2913121634799397e+08 3.2791594776479459e+08 3.2655172371171981e+08 3.2501957025996900e+08 3.2329992061023122e+08 3.2137314813356435e+08 3.1921679743344194e+08 3.1683764266278046e+08 3.1418863547867686e+08 3.1128118473742402e+08 3.0812201523680818e+08 3.0473590514984894e+08 3.0116501269738114e+08 2.9748958131697106e+08 2.9382832975917685e+08 2.9038037080067641e+08 2.8738662900018817e+08 2.8523435607862920e+08 2.8445935006349581e+08 2.8584262570520484e+08 2.9051843318178684e+08 3.0020573301505756e+08 3.1762520498864007e+08 3.4736789561959618e+08 1.3394306320826423e+08 +6.1613537845948407e+00 4.5106033328275889e+08 4.5101851601934898e+08 4.5094843169916230e+08 4.5085892887377048e+08 4.5077457598600221e+08 4.5073208807432044e+08 4.5074714435652155e+08 4.5079244869072944e+08 4.5084110551724052e+08 4.5088854506927472e+08 4.5093889499703449e+08 4.5099338295620203e+08 4.5105224859481984e+08 4.5111634807379204e+08 4.5118697719675970e+08 4.5126542828630054e+08 4.5135333372281814e+08 4.5145281835370481e+08 4.5156642050106168e+08 4.5169703139698857e+08 4.5184799334921110e+08 4.5202306287372780e+08 4.5222624157766211e+08 4.5246409477112710e+08 4.5275030810638529e+08 4.5309363344102085e+08 4.5349648792329419e+08 4.5396515009085065e+08 4.5450887545145369e+08 4.5513814440051156e+08 4.5586427050808793e+08 4.5669915013861072e+08 4.5765490431095415e+08 4.5874333973863053e+08 4.5997518328446424e+08 4.6135892502268732e+08 4.6289931458112526e+08 4.6459532581456393e+08 4.6643763714857066e+08 4.6840542883939505e+08 4.7061823964287406e+08 4.7286484750093585e+08 4.7504498600737184e+08 4.7702320735731584e+08 4.7862766619035780e+08 4.7965405993445885e+08 4.7987693611188865e+08 4.7906968273797351e+08 4.7703303308019614e+08 4.7362461571210641e+08 4.6878548920053566e+08 4.6257722569995075e+08 4.5518562761447072e+08 4.4685730870601887e+08 4.3789662822779948e+08 4.2863243380947274e+08 4.1936194157746977e+08 4.1033612057204348e+08 4.0173739731793523e+08 3.9370292991497427e+08 3.8629710334578580e+08 3.7956406220290273e+08 3.7349469983060288e+08 3.6809017812853056e+08 3.6331258730208582e+08 3.5912202191884446e+08 3.5548937521142536e+08 3.5236227853720027e+08 3.4968612785201621e+08 3.4742571029585510e+08 3.4552139492224514e+08 3.4394175816475487e+08 3.4264102498898792e+08 3.4158602114134055e+08 3.4072335266116917e+08 3.3999719888323432e+08 3.3937465151530123e+08 3.3881924111223233e+08 3.3828715383993047e+08 3.3790803129301929e+08 3.3752438194072276e+08 3.3713256273087537e+08 3.3672203519617802e+08 3.3629849308633447e+08 3.3584901143197989e+08 3.3539260396284842e+08 3.3488289402476960e+08 3.3433740902746415e+08 3.3374611465121448e+08 3.3310117544970763e+08 3.3239306986538965e+08 3.3161107176159662e+08 3.3073899546701318e+08 3.2978257777812934e+08 3.2870005413655162e+08 3.2748637795760357e+08 3.2612394143410271e+08 3.2459379549294835e+08 3.2287639896712089e+08 3.2095215093779665e+08 3.1879862710116154e+08 3.1642258443093985e+08 3.1377704782893556e+08 3.1087340622455865e+08 3.0771837560678869e+08 3.0433670168898749e+08 3.0077048746400666e+08 2.9709987125178778e+08 2.9344341782271475e+08 2.8999997148989290e+08 2.8701015186700875e+08 2.8486069879405504e+08 2.8408670990121973e+08 2.8546817383938164e+08 2.9013785563764429e+08 2.9981246475916284e+08 3.1720911920184571e+08 3.4691284068236440e+08 1.3360077191423018e+08 +6.1663221073690986e+00 4.5126523881324142e+08 4.5122339213691062e+08 4.5115325780313313e+08 4.5106368645029342e+08 4.5097925260277981e+08 4.5093668920761687e+08 4.5095168424592096e+08 4.5099692766861713e+08 4.5104550667557776e+08 4.5109284452925712e+08 4.5114306632914209e+08 4.5119739563431340e+08 4.5125606653309238e+08 4.5131992891330183e+08 4.5139027143822223e+08 4.5146837810620999e+08 4.5155587116925693e+08 4.5165486343916643e+08 4.5176787902467155e+08 4.5189779250033903e+08 4.5204792654352248e+08 4.5222201437477046e+08 4.5242402649778652e+08 4.5266047509759414e+08 4.5294498122316408e+08 4.5328626043186736e+08 4.5368669519672996e+08 4.5415250795830715e+08 4.5469288307877946e+08 4.5531821779328072e+08 4.5603972979155040e+08 4.5686920541311252e+08 4.5781864004743534e+08 4.5889969780537522e+08 4.6012294492648345e+08 4.6149669229561466e+08 4.6302549216763508e+08 4.6470810463913941e+08 4.6653498191960812e+08 4.6848507252838087e+08 4.7067607922756004e+08 4.7289775376632780e+08 4.7504964153450382e+08 4.7699621357211262e+08 4.7856570404402685e+08 4.7955410831208134e+08 4.7973654100760049e+08 4.7888725329663998e+08 4.7680812035550547e+08 4.7335811757382691e+08 4.6847972759439009e+08 4.6223580881954157e+08 4.5481313119144052e+08 4.4645890846038461e+08 4.3747762446687883e+08 4.2819782203296417e+08 4.1891612290362710e+08 4.0988273939229435e+08 4.0127932378991181e+08 3.9324229372958219e+08 3.8583544084589761e+08 3.7910240474903274e+08 3.7303373370098627e+08 3.6763029096009868e+08 3.6285399385972172e+08 3.5866481492549735e+08 3.5503354234846461e+08 3.5190777580184275e+08 3.4923289753709084e+08 3.4697366708467925e+08 3.4507048009111810e+08 3.4349188995855683e+08 3.4219213166217345e+08 3.4113801819122815e+08 3.4027617024393183e+08 3.3955079532118839e+08 3.3892897553123063e+08 3.3837425106909192e+08 3.3784284606528229e+08 3.3746421766387218e+08 3.3708107094962132e+08 3.3668976619586474e+08 3.3627977809932452e+08 3.3585679265508169e+08 3.3540790353143758e+08 3.3495209071825087e+08 3.3444305067199159e+08 3.3389828255101353e+08 3.3330776521485680e+08 3.3266367350831842e+08 3.3195649837900209e+08 3.3117552777738172e+08 3.3030459902418822e+08 3.2934943278001839e+08 3.2826833135697120e+08 3.2705624964982980e+08 3.2569560297744495e+08 3.2416746715451276e+08 3.2245232667900825e+08 3.2053060637669361e+08 3.1837991306550413e+08 3.1600698657158101e+08 3.1336492506140846e+08 3.1046509754365778e+08 3.0731421118748927e+08 3.0393697920403469e+08 3.0037544928657854e+08 2.9670965450063652e+08 2.9305800542660642e+08 2.8961907761336398e+08 2.8663318526497096e+08 2.8448655570431554e+08 2.8371358524432892e+08 2.8509323512108397e+08 2.8975678327906477e+08 2.9941868519151658e+08 3.1679249242435879e+08 3.4645719412934059e+08 1.3325910236539163e+08 +6.1712904301433564e+00 4.5146697923434389e+08 4.5142510452167755e+08 4.5135492438352561e+08 4.5126528391551131e+08 4.5118077019369060e+08 4.5113813174995649e+08 4.5115306551025730e+08 4.5119824776695085e+08 4.5124674870566416e+08 4.5129398464702344e+08 4.5134407811474836e+08 4.5139824857117546e+08 4.5145672454574531e+08 4.5152034965693712e+08 4.5159040542729867e+08 4.5166816753112280e+08 4.5175524809266764e+08 4.5185374788819933e+08 4.5196617681114948e+08 4.5209539278013337e+08 4.5224469884194386e+08 4.5241780492484701e+08 4.5261865043934840e+08 4.5285369446582329e+08 4.5313649343418831e+08 4.5347572658940727e+08 4.5387374176258695e+08 4.5433670532896268e+08 4.5487373054149306e+08 4.5549513152065653e+08 4.5621203013970780e+08 4.5703610280272394e+08 4.5797921938840038e+08 4.5905290156934470e+08 4.6026755517947739e+08 4.6163131220872080e+08 4.6314852792745095e+08 4.6481774918442565e+08 4.6662920263467193e+08 4.6856160590833598e+08 4.7073082841835845e+08 4.7292759648360330e+08 4.7505126925231147e+08 4.7696623886746854e+08 4.7850082145956123e+08 4.7945131271539825e+08 4.7959339636916012e+08 4.7870218787933475e+08 4.7658070412688416e+08 4.7308926539338768e+08 4.6817177460436094e+08 4.6189237106203985e+08 4.5443878599863374e+08 4.4605882688055503e+08 4.3705709680783570e+08 4.2776182997023302e+08 4.1846905167017341e+08 4.0942821701218778e+08 4.0082020475040632e+08 3.9278069348049927e+08 3.8537288321087158e+08 3.7863991032798874e+08 3.7257197961574697e+08 3.6716965709934044e+08 3.6239468840820283e+08 3.5820692498868877e+08 3.5457705079282635e+08 3.5145263443927592e+08 3.4877904503053296e+08 3.4652101494970930e+08 3.4461896682334977e+08 3.4304143142149055e+08 3.4174265407706559e+08 3.4068943538019472e+08 3.3982841107138407e+08 3.3910381715313065e+08 3.3848272646730006e+08 3.3792868911311626e+08 3.3739796736351216e+08 3.3701983376715684e+08 3.3663719034515709e+08 3.3624640070989555e+08 3.3583695274302834e+08 3.3541452467717540e+08 3.3496622883161849e+08 3.3451101146979791e+08 3.3400264217286777e+08 3.3345859184659880e+08 3.3286885254622632e+08 3.3222560942100656e+08 3.3151936593915665e+08 3.3073942415788108e+08 3.2986964440613377e+08 3.2891573124555892e+08 3.2783605386562711e+08 3.2662556867607117e+08 3.2526671415192986e+08 3.2374059102753037e+08 3.2202770949871755e+08 3.2010852016888541e+08 3.1796066100681126e+08 3.1559085472244936e+08 3.1295227276665980e+08 3.1005626423391706e+08 3.0690952746178007e+08 3.0353674311749041e+08 2.9997990352414519e+08 2.9631893635694712e+08 2.9267209779879099e+08 2.8923769433776253e+08 2.8625573430777347e+08 2.8411193188506734e+08 2.8333998115444404e+08 2.8471781463619578e+08 2.8937522127550942e+08 2.9902439965362883e+08 3.1637533030807149e+08 3.4600096214111620e+08 1.3291805465035427e+08 +6.1762587529176143e+00 4.5166556427712590e+08 4.5162366448670232e+08 4.5155343666982937e+08 4.5146372810530984e+08 4.5137913504593176e+08 4.5133642190446931e+08 4.5135129435009319e+08 4.5139641518390858e+08 4.5144483781007951e+08 4.5149197162837362e+08 4.5154193656313413e+08 4.5159594797789448e+08 4.5165422884803885e+08 4.5171761652411282e+08 4.5178738538817167e+08 4.5186480279102129e+08 4.5195147072888362e+08 4.5204947794353878e+08 4.5216132011277229e+08 4.5228983849852562e+08 4.5243831651942605e+08 4.5261044081332982e+08 4.5281011970933968e+08 4.5304375920264655e+08 4.5332485109170872e+08 4.5366203829669821e+08 4.5405763403827256e+08 4.5451774866182089e+08 4.5505142434631139e+08 4.5566889214521837e+08 4.5638117818197495e+08 4.5719984901312721e+08 4.5813664912935787e+08 4.5920295792855465e+08 4.6040902106105930e+08 4.6176279191680181e+08 4.6326842917135686e+08 4.6492426693916118e+08 4.6672030698409671e+08 4.6863503689441746e+08 4.7078249540205067e+08 4.7295438413541669e+08 4.7504987796353877e+08 4.7693329238603300e+08 4.7843302792404252e+08 4.7934568296755373e+08 4.7944751232917845e+08 4.7851449688013834e+08 4.7635079497821653e+08 4.7281806984970230e+08 4.6786164090217793e+08 4.6154692298165971e+08 4.5406260237382728e+08 4.4565707400646085e+08 4.3663505493558908e+08 4.2732446692163348e+08 4.1802073678785300e+08 4.0897256196401471e+08 4.0036004837982172e+08 3.9231813702697730e+08 3.8490943801255876e+08 3.7817658626009434e+08 3.7210944467495596e+08 3.6670828345628113e+08 3.6193467769398004e+08 3.5774835871535277e+08 3.5411990703340626e+08 3.5099686083900410e+08 3.4832457663927281e+08 3.4606776012962431e+08 3.4416686130220234e+08 3.4259038869249606e+08 3.4129259833839065e+08 3.4024027878603172e+08 3.3938008120198601e+08 3.3865627042159241e+08 3.3803591035403460e+08 3.3748256126397282e+08 3.3695252374423182e+08 3.3657488560604519e+08 3.3619274612365466e+08 3.3580247226189905e+08 3.3539356510911423e+08 3.3497169512691921e+08 3.3452399329900599e+08 3.3406937217491215e+08 3.3356167447631449e+08 3.3301834285349417e+08 3.3242938257437742e+08 3.3178698910483247e+08 3.3108167845136845e+08 3.3030276679377455e+08 3.2943413748865938e+08 3.2848147903286386e+08 3.2740322750139588e+08 3.2619434085434616e+08 3.2483728075149804e+08 3.2331317287855792e+08 3.2160255316225415e+08 3.1968589801611471e+08 3.1754087658859885e+08 3.1517419450479615e+08 3.1253909651859164e+08 3.0964691181760520e+08 3.0650432989597118e+08 3.0313599883586109e+08 2.9958385551989305e+08 2.9592772209904557e+08 2.9228570015272844e+08 2.8885582681545269e+08 2.8587780409414631e+08 2.8373683239654827e+08 2.8296590267833948e+08 2.8434191745640165e+08 2.8899317478119850e+08 2.9862961347176427e+08 3.1595763848832744e+08 3.4554415088115233e+08 1.3257762885018441e+08 +6.1812270756918721e+00 4.5186100380263394e+08 4.5181907564664716e+08 4.5174880042858672e+08 4.5165902529871243e+08 4.5157435345225286e+08 4.5153156589953357e+08 4.5154637699042505e+08 4.5159143614503318e+08 4.5163978021847504e+08 4.5168681170467746e+08 4.5173664790884376e+08 4.5179050009264982e+08 4.5184858568054169e+08 4.5191173576000524e+08 4.5198121757042265e+08 4.5205829014036769e+08 4.5214454533988273e+08 4.5224205987484419e+08 4.5235331520722830e+08 4.5248113594470650e+08 4.5262878587717563e+08 4.5279992835624540e+08 4.5299844063966590e+08 4.5323067566154814e+08 4.5351006057311702e+08 4.5384520196034187e+08 4.5423837846606690e+08 4.5469564443951184e+08 4.5522597102406162e+08 4.5583950625500602e+08 4.5654718057163113e+08 4.5736045077439475e+08 4.5829093608846164e+08 4.5934987380442333e+08 4.6054734961107051e+08 4.6189113859532976e+08 4.6338520323167950e+08 4.6502766541337037e+08 4.6680830267799240e+08 4.6870537342146051e+08 4.7083108838038325e+08 4.7297812522041011e+08 4.7504547648549044e+08 4.7689738327946192e+08 4.7836233293192804e+08 4.7923722889694417e+08 4.7929889902332956e+08 4.7832419069090462e+08 4.7611840348575097e+08 4.7254454161432868e+08 4.6754933714614064e+08 4.6119947511768669e+08 4.5368459063748306e+08 4.4525365985849148e+08 4.3621150851539332e+08 4.2688574216756403e+08 4.1757118714601994e+08 4.0851578275908709e+08 3.9989886283635902e+08 3.9185463220674592e+08 3.8444511280330539e+08 3.7771243984580052e+08 3.7164613595988691e+08 3.6624617692204726e+08 3.6147396844477683e+08 3.5728912269374752e+08 3.5366211754053521e+08 3.5054046137190890e+08 3.4786949865119451e+08 3.4561390884541523e+08 3.4371416969276869e+08 3.4213876789281029e+08 3.4084197053321934e+08 3.3979055446950752e+08 3.3893118667562377e+08 3.3820816115146053e+08 3.3758853320363450e+08 3.3703587352347845e+08 3.3650652119960356e+08 3.3612937916602290e+08 3.3574774426363593e+08 3.3535798682397711e+08 3.3494962116221207e+08 3.3452830996134645e+08 3.3408120288258100e+08 3.3362717877484262e+08 3.3312015351446432e+08 3.3257754149402720e+08 3.3198936121096122e+08 3.3134781846064305e+08 3.3064344180289078e+08 3.2986556155872953e+08 3.2899808413032001e+08 3.2804668198348480e+08 3.2696985808708155e+08 3.2576257198541772e+08 3.2440730855232191e+08 3.2288521845698583e+08 3.2117686338844788e+08 3.1926274560284102e+08 3.1712056545781010e+08 3.1475701152305275e+08 3.1212540187565833e+08 3.0923704580142921e+08 3.0609862394113427e+08 3.0273475175001019e+08 2.9918731060108757e+08 2.9553601698934793e+08 2.9189881768592513e+08 2.8847348018262386e+08 2.8549939970778233e+08 2.8336126228465062e+08 2.8259135484811944e+08 2.8396554863810992e+08 2.8861064893537307e+08 2.9823433195657182e+08 3.1553942258365190e+08 3.4508676649387079e+08 1.3223782503844984e+08 +6.1861953984661300e+00 4.5205329804225582e+08 4.5201134246745884e+08 4.5194102210170931e+08 4.5185118103296119e+08 4.5176643165645999e+08 4.5172356998805386e+08 4.5173831968033123e+08 4.5178331690208834e+08 4.5183158218589669e+08 4.5187851113380432e+08 4.5192821841278106e+08 4.5198191117846656e+08 4.5203980131075227e+08 4.5210271363492209e+08 4.5217190824935824e+08 4.5224863586067492e+08 4.5233447821236283e+08 4.5243149997703087e+08 4.5254216839838070e+08 4.5266929143194610e+08 4.5281611324094200e+08 4.5298627389343661e+08 4.5318361958870679e+08 4.5341445021964693e+08 4.5369212828159988e+08 4.5402522401302993e+08 4.5441598151306951e+08 4.5487039917106605e+08 4.5539737713182181e+08 4.5600698046271557e+08 4.5671004398620605e+08 4.5751791483961362e+08 4.5844208710796666e+08 4.5949365614097393e+08 4.6068254789175856e+08 4.6201635944269353e+08 4.6349885746132797e+08 4.6512795213628346e+08 4.6689319744519687e+08 4.6877262344208986e+08 4.7087661557370359e+08 4.7299882825081068e+08 4.7503807364807200e+08 4.7685852071155161e+08 4.7828874598621231e+08 4.7912596033758593e+08 4.7914756658887690e+08 4.7813127970316678e+08 4.7588354022336686e+08 4.7226869134956169e+08 4.6723487398420519e+08 4.6085003799491704e+08 4.5330476109339118e+08 4.4484859443914372e+08 4.3578646719274551e+08 4.2644566496725649e+08 4.1712041161241603e+08 4.0805788788823473e+08 3.9943665625801212e+08 3.9139018683764553e+08 3.8397991511477619e+08 3.7724747836531365e+08 3.7118206053088319e+08 3.6578334436781132e+08 3.6101256736945432e+08 3.5682922349355876e+08 3.5320368876584351e+08 3.5008344239044839e+08 3.4741381733676660e+08 3.4515946729882497e+08 3.4326089814244634e+08 3.4168657512595183e+08 3.4039077673038852e+08 3.3934026847332412e+08 3.3848173351516628e+08 3.3775949534973699e+08 3.3714060101066399e+08 3.3658863187596965e+08 3.3605996570403755e+08 3.3568332041468012e+08 3.3530219072600126e+08 3.3491295034980041e+08 3.3450512684881502e+08 3.3408437511987144e+08 3.3363786351360595e+08 3.3318443719251382e+08 3.3267808520135123e+08 3.3213619367276847e+08 3.3154879434980714e+08 3.3090810337077045e+08 3.3020466186416143e+08 3.2942781430972916e+08 3.2856149017224991e+08 3.2761134592178571e+08 3.2653595142729139e+08 3.2533026785289758e+08 3.2397680331481344e+08 3.2245673349559450e+08 3.2075064588002831e+08 3.1883906859818292e+08 3.1669973324463218e+08 3.1433931136594278e+08 3.1171119437926036e+08 3.0882667167568862e+08 3.0569241503136379e+08 3.0233300723470116e+08 2.9879027407994628e+08 2.9514382627461231e+08 2.9151145558116204e+08 2.8809065956122303e+08 2.8512052621779323e+08 2.8298522658036816e+08 2.8221634268098855e+08 2.8358871322308880e+08 2.8822764886204314e+08 2.9783856040302521e+08 3.1512068819659138e+08 3.4462881510596019e+08 1.3189864328125966e+08 +6.1911637212403878e+00 4.5224245754523963e+08 4.5220047396673399e+08 4.5213010849481642e+08 4.5204020174698466e+08 4.5195537586807305e+08 4.5191244044780695e+08 4.5192712869577706e+08 4.5197206373317170e+08 4.5202024999202031e+08 4.5206707619833785e+08 4.5211665436041957e+08 4.5217018752374482e+08 4.5222788203035253e+08 4.5229055644528586e+08 4.5235946372582084e+08 4.5243584625745225e+08 4.5252127565909272e+08 4.5261780456907523e+08 4.5272788601523805e+08 4.5285431129982823e+08 4.5300030496266454e+08 4.5316948379142565e+08 4.5336566293898785e+08 4.5359508928084511e+08 4.5387106064442849e+08 4.5420211091196752e+08 4.5459044967129254e+08 4.5504201938882434e+08 4.5556564924941736e+08 4.5617132140384787e+08 4.5686977512692881e+08 4.5767224798627311e+08 4.5859010905276757e+08 4.5963431190537256e+08 4.6081462298760766e+08 4.6213846167865235e+08 4.6360939923494452e+08 4.6522513465803832e+08 4.6697499903467792e+08 4.6883679492693692e+08 4.7091908521780390e+08 4.7301650175547683e+08 4.7502767829469973e+08 4.7681671385627908e+08 4.7821227659801060e+08 4.7901188712897670e+08 4.7899352516537625e+08 4.7793577430647254e+08 4.7564621575892293e+08 4.7199052970998996e+08 4.6691826205306137e+08 4.6049862212490946e+08 4.5292312402854490e+08 4.4444188773284674e+08 4.3535994059336317e+08 4.2600424455969661e+08 4.1666841903508264e+08 4.0759888582069957e+08 3.9897343676199156e+08 3.9092480871663070e+08 3.8351385245862710e+08 3.7678170907913077e+08 3.7071722542977285e+08 3.6531979264603430e+08 3.6055048115734023e+08 3.5636866766533142e+08 3.5274462714246410e+08 3.4962581022924316e+08 3.4695753894775701e+08 3.4470444167416841e+08 3.4280705278049684e+08 3.4123381647724509e+08 3.3993902298103607e+08 3.3888942682228196e+08 3.3803172772538853e+08 3.3731027900573647e+08 3.3669211975228548e+08 3.3614084228779364e+08 3.3561286321479827e+08 3.3523671530253333e+08 3.3485609145444256e+08 3.3446736877583480e+08 3.3406008809825575e+08 3.3363989652406979e+08 3.3319398110607922e+08 3.3274115333428478e+08 3.3223547543424326e+08 3.3169430527737856e+08 3.3110768786825907e+08 3.3046784970101434e+08 3.2976534448834217e+08 3.2898953088568068e+08 3.2812436143861490e+08 3.2717547665468383e+08 3.2610151331053275e+08 3.2489743422360200e+08 3.2354577078110343e+08 3.2202772371017992e+08 3.2032390632222188e+08 3.1841487265352380e+08 3.1627838556315231e+08 3.1392109960541266e+08 3.1129647955482763e+08 3.0841579491460705e+08 3.0528570858537823e+08 3.0193077064898497e+08 2.9839275125253701e+08 2.9475115518685734e+08 2.9112361900537950e+08 2.8770737005782706e+08 2.8474118867780560e+08 2.8260873029959548e+08 2.8184087117953128e+08 2.8321141623798287e+08 2.8784417967068303e+08 2.9744230409046108e+08 3.1470144091240120e+08 3.4417030282642484e+08 1.3156008363730454e+08 +6.1961320440146457e+00 4.5242848550314432e+08 4.5238647730998564e+08 4.5231606595703799e+08 4.5222609471932697e+08 4.5214119233017576e+08 4.5209818357863754e+08 4.5211281033729225e+08 4.5215768294202316e+08 4.5220578994244009e+08 4.5225251320561796e+08 4.5230196206259608e+08 4.5235533544233930e+08 4.5241283415643770e+08 4.5247527051178521e+08 4.5254389032525748e+08 4.5261992766222823e+08 4.5270494401732987e+08 4.5280097999683976e+08 4.5291047441104722e+08 4.5303620191243809e+08 4.5318136741811520e+08 4.5334956444010311e+08 4.5354457709801000e+08 4.5377259927274632e+08 4.5404686411412299e+08 4.5437586913835800e+08 4.5476178945704138e+08 4.5521051164917076e+08 4.5573079398161811e+08 4.5633253573839593e+08 4.5702638071886116e+08 4.5782345701463968e+08 4.5873500881043398e+08 4.5977184808709723e+08 4.6094358200529593e+08 4.6225745254367840e+08 4.6371683594739687e+08 4.6531922054866529e+08 4.6705371521383125e+08 4.6889789586462229e+08 4.7095850556539869e+08 4.7303115427695179e+08 4.7501429928065783e+08 4.7677197189860427e+08 4.7813293428610396e+08 4.7889501911482620e+08 4.7883678489311868e+08 4.7773768488923401e+08 4.7540644065516841e+08 4.7171006734110391e+08 4.6659951197625923e+08 4.6014523800339407e+08 4.5253968971357471e+08 4.4403354970444345e+08 4.3493193832303381e+08 4.2556149016397381e+08 4.1621521824115628e+08 4.0713878500514507e+08 3.9850921244435924e+08 3.9045850562020081e+08 3.8304693232624573e+08 3.7631513922774661e+08 3.7025163767878079e+08 3.6485552858970159e+08 3.6008771647934312e+08 3.5590746174083656e+08 3.5228493908484685e+08 3.4916757120390987e+08 3.4650066971795589e+08 3.4424883813764727e+08 3.4235263971801275e+08 3.4078049801448435e+08 3.3948671531839085e+08 3.3843803552356958e+08 3.3758117529354256e+08 3.3686051809117264e+08 3.3624309538790709e+08 3.3569251070794445e+08 3.3516521967102975e+08 3.3478956976205039e+08 3.3440945237467963e+08 3.3402124802158201e+08 3.3361451082248485e+08 3.3319488007839328e+08 3.3274956155669141e+08 3.3229733308814627e+08 3.3179233009216648e+08 3.3125188217731738e+08 3.3066604762571186e+08 3.3002706329950863e+08 3.2932549551096392e+08 3.2855071710877073e+08 3.2768670373569816e+08 3.2673907997228950e+08 3.2566654950753999e+08 3.2446407684665883e+08 3.2311421667666364e+08 3.2159819479943544e+08 3.1989665038373578e+08 3.1799016340365720e+08 3.1585652800996357e+08 3.1350238179642797e+08 3.1088126291100091e+08 3.0800442097594237e+08 3.0487851000590891e+08 3.0152804733598584e+08 2.9799474739947903e+08 2.9435800894189769e+08 2.9073531311077046e+08 2.8732361676380968e+08 2.8436139212688774e+08 2.8223177844374985e+08 2.8146494533116150e+08 2.8283366269482177e+08 2.8746024645470905e+08 2.9704556828263658e+08 3.1428168630105871e+08 3.4371123574574500e+08 1.3122214615789691e+08 +6.2011003667889035e+00 4.5261139143237495e+08 4.5256935517742860e+08 4.5249890011753213e+08 4.5240886612917364e+08 4.5232388736399329e+08 4.5228080570400745e+08 4.5229537093151003e+08 4.5234018085797054e+08 4.5238820836717641e+08 4.5243482848855549e+08 4.5248414785584915e+08 4.5253736127289259e+08 4.5259466403132933e+08 4.5265686218077213e+08 4.5272519439844942e+08 4.5280088643080568e+08 4.5288548965000415e+08 4.5298103262940043e+08 4.5308993996474457e+08 4.5321496965817118e+08 4.5335930700830728e+08 4.5352652225506073e+08 4.5372036849772865e+08 4.5394698664740688e+08 4.5421954516706234e+08 4.5454650519861263e+08 4.5493000741052318e+08 4.5537588253389066e+08 4.5589281795628810e+08 4.5649063015019321e+08 4.5717986750998676e+08 4.5797154874799669e+08 4.5887679329296327e+08 4.5990627169770956e+08 4.6106943207318097e+08 4.6237333930091214e+08 4.6382117501333594e+08 4.6541021739729708e+08 4.6712935376805937e+08 4.6895593426074088e+08 4.7099488488506621e+08 4.7304279437252295e+08 4.7499794547451317e+08 4.7672430403326392e+08 4.7805072857728112e+08 4.7877536614378059e+08 4.7867735591555113e+08 4.7753702183771086e+08 4.7516422546952999e+08 4.7142731488016117e+08 4.6627863436697012e+08 4.5978989611162287e+08 4.5215446840124261e+08 4.4362359030008477e+08 4.3450246996749955e+08 4.2511741097732097e+08 4.1576081803552532e+08 4.0667759386892015e+08 3.9804399138096505e+08 3.8999128530414534e+08 3.8257916218814552e+08 3.7584777603187931e+08 3.6978530427962953e+08 3.6439055901212937e+08 3.5962427998651981e+08 3.5544561223342299e+08 3.5182463098862839e+08 3.4870873161177349e+08 3.4604321586232525e+08 3.4379266283715028e+08 3.4189766504826325e+08 3.4032662578670156e+08 3.3903385975792325e+08 3.3798610056631881e+08 3.3713008218887031e+08 3.3641021856007493e+08 3.3579353385889220e+08 3.3524364306764847e+08 3.3471704099448287e+08 3.3434188970813674e+08 3.3396227939496106e+08 3.3357459398775649e+08 3.3316840091550237e+08 3.3274933166961938e+08 3.3230461074420446e+08 3.3185298232524526e+08 3.3134865503751838e+08 3.3080893022489893e+08 3.3022387946415293e+08 3.2958574999707329e+08 3.2888512075082886e+08 3.2811137878384691e+08 3.2724852285356122e+08 3.2630216164714199e+08 3.2523106577211624e+08 3.2403020145528537e+08 3.2268214671059716e+08 3.2116815244523084e+08 3.1946888371628678e+08 3.1756494646667886e+08 3.1543416616584581e+08 3.1308316347787386e+08 3.1046554994023240e+08 3.0759255530161482e+08 3.0447082467920250e+08 3.0112484262327641e+08 2.9759626778581965e+08 2.9396439274062091e+08 2.9034654303398722e+08 2.8693940475545573e+08 2.8398114158918709e+08 2.8185437599889696e+08 2.8108857010887188e+08 2.8245545759037018e+08 2.8707585429311025e+08 2.9664835822775120e+08 3.1386142991434389e+08 3.4325161993639702e+08 1.3088483088701043e+08 +6.2060686895631614e+00 4.5279117763924611e+08 4.5274911670472991e+08 4.5267861806522042e+08 4.5258852162835044e+08 4.5250346733580756e+08 4.5246031316712046e+08 4.5247481683099455e+08 4.5251956383571160e+08 4.5256751162209463e+08 4.5261402840442151e+08 4.5266321809997553e+08 4.5271627137869161e+08 4.5277337802170300e+08 4.5283533782282341e+08 4.5290338232065338e+08 4.5297872894410592e+08 4.5306291894344747e+08 4.5315796886211306e+08 4.5326628907925820e+08 4.5339062095073366e+08 4.5353413015837467e+08 4.5370036367607445e+08 4.5389304359456348e+08 4.5411825788115823e+08 4.5438911030411690e+08 4.5471402562239081e+08 4.5509511009604877e+08 4.5553813864690953e+08 4.5605172782542437e+08 4.5664561134656155e+08 4.5733024227147126e+08 4.5811653003266144e+08 4.5901546943184578e+08 4.6003758977094764e+08 4.6119218034072310e+08 4.6248612923258471e+08 4.6392242386916113e+08 4.6549813281326109e+08 4.6720192250206381e+08 4.6901091813880068e+08 4.7102823146125340e+08 4.7305143061417460e+08 4.7497862575633752e+08 4.7667371946455806e+08 4.7796566900582308e+08 4.7865293806967944e+08 4.7851524837587917e+08 4.7733379553563160e+08 4.7491958075403011e+08 4.7114228295525354e+08 4.6595563982445294e+08 4.5943260691654354e+08 4.5176747032775283e+08 4.4321201944764411e+08 4.3407154509302247e+08 4.2467201617697138e+08 4.1530522720269811e+08 4.0621532081875366e+08 3.9757778162579972e+08 3.8952315550376362e+08 3.8211054949560648e+08 3.7537962669161701e+08 3.6931823221516174e+08 3.6392489070770890e+08 3.5916017831129527e+08 3.5498312563727778e+08 3.5136370923100525e+08 3.4824929773165929e+08 3.4558518357798266e+08 3.4333592190210885e+08 3.4144213484636658e+08 3.3987220582581949e+08 3.3858046229722410e+08 3.3753362792198068e+08 3.3667845436281538e+08 3.3595938634828508e+08 3.3534344108932650e+08 3.3479424528052938e+08 3.3426833308890986e+08 3.3389368103803140e+08 3.3351457840584219e+08 3.3312741255853313e+08 3.3272176425415528e+08 3.3230325716709960e+08 3.3185913452983123e+08 3.3140810689866430e+08 3.3090445611424345e+08 3.3036545525565314e+08 3.2978118920820796e+08 3.2914391560704863e+08 3.2844422600845742e+08 3.2767152169820094e+08 3.2680982456382716e+08 3.2586472743463945e+08 3.2479506784055024e+08 3.2359581376415157e+08 3.2224956657452488e+08 3.2073760231248391e+08 3.1904061195523828e+08 3.1713922744411254e+08 3.1501130559474361e+08 3.1266345017223108e+08 3.1004934611878586e+08 3.0718020331674874e+08 3.0406265797578079e+08 3.0072116182190067e+08 2.9719731766039008e+08 2.9357031176769835e+08 2.8995731389624751e+08 2.8655473909404927e+08 2.8360044207333153e+08 2.8147652793691200e+08 2.8071175047049946e+08 2.8207680590715271e+08 2.8669100824935251e+08 2.9625067915814728e+08 3.1344067728892279e+08 3.4279146145243794e+08 1.3054813786131999e+08 +6.2110370123374192e+00 4.5296785594284379e+08 4.5292576938663238e+08 4.5285522575459749e+08 4.5276506743458021e+08 4.5267993859860289e+08 4.5263671233635801e+08 4.5265115441343194e+08 4.5269583825478882e+08 4.5274370608622569e+08 4.5279011933551198e+08 4.5283917918032646e+08 4.5289207214735126e+08 4.5294898251932323e+08 4.5301070383296078e+08 4.5307846049169815e+08 4.5315346160689992e+08 4.5323723830917138e+08 4.5333179511250615e+08 4.5343952818155807e+08 4.5356316222734642e+08 4.5370584331835949e+08 4.5387109516678447e+08 4.5406260886919689e+08 4.5428641947451431e+08 4.5455556605006111e+08 4.5487843696343094e+08 4.5525710410198051e+08 4.5569728661667967e+08 4.5620753026430947e+08 4.5679748605725867e+08 4.5747751179801357e+08 4.5825840773735428e+08 4.5915104418339944e+08 4.6016580936233842e+08 4.6131183397886306e+08 4.6259582964285970e+08 4.6402058997033393e+08 4.6558297442426091e+08 4.6727142923883158e+08 4.6906285553927064e+08 4.7105855359420240e+08 4.7305707158704650e+08 4.7495634901931274e+08 4.7662022740794200e+08 4.7787776511267090e+08 4.7852774474958616e+08 4.7835047241962790e+08 4.7712801636527050e+08 4.7467251705454355e+08 4.7085498218538827e+08 4.6563053893787497e+08 4.5907338086932975e+08 4.5137870571175289e+08 4.4279884705578905e+08 4.3363917324434495e+08 4.2422531491890323e+08 4.1484845450661862e+08 4.0575197423967445e+08 3.9711059121265632e+08 3.8905412393311775e+08 3.8164110167833149e+08 3.7491069838761514e+08 3.6885042844786268e+08 3.6345853045095426e+08 3.5869541806708026e+08 3.5452000842752773e+08 3.5090218017069453e+08 3.4778927582402056e+08 3.4512657904374701e+08 3.4287862144444084e+08 3.4098605516930169e+08 3.3941724414526880e+08 3.3812652891572142e+08 3.3708062354417145e+08 3.3622629774919999e+08 3.3550802737443483e+08 3.3489282298503357e+08 3.3434432324215847e+08 3.3381910184070510e+08 3.3344494963144374e+08 3.3306635528027397e+08 3.3267970959976381e+08 3.3227460669719219e+08 3.3185666242224294e+08 3.3141313875796819e+08 3.3096271264450574e+08 3.3045973914961576e+08 3.2992146308632779e+08 3.2933798266502684e+08 3.2870156592542160e+08 3.2800281706816500e+08 3.2723115162185669e+08 3.2637061462176555e+08 3.2542678307298511e+08 3.2435856143256664e+08 3.2316091947196895e+08 3.2181648194260901e+08 3.2030655004923815e+08 3.1861184071824110e+08 3.1671301192028677e+08 3.1458795184331459e+08 3.1224324738495439e+08 3.0963265690637523e+08 3.0676737043060464e+08 3.0365401524971932e+08 3.0031701022733760e+08 2.9679790225679702e+08 2.9317577119337821e+08 2.8956763080341750e+08 2.8616962482540363e+08 2.8321929857335162e+08 2.8109823921385205e+08 2.8033449135947293e+08 2.8169771261200130e+08 2.8630571337192458e+08 2.9585253629042393e+08 3.1301943394391859e+08 3.4233076633078200e+08 1.3021206711024162e+08 +6.2160053351116771e+00 4.5314142965424293e+08 4.5309931728043145e+08 4.5302872963617027e+08 4.5293851017162728e+08 4.5285330749782777e+08 4.5281000960333180e+08 4.5282439008103752e+08 4.5286901051970756e+08 4.5291679816438103e+08 4.5296310768746907e+08 4.5301203750544965e+08 4.5306476999114841e+08 4.5312148393832487e+08 4.5318296663014764e+08 4.5325043533502686e+08 4.5332509084843743e+08 4.5340845418269616e+08 4.5350251782397664e+08 4.5360966372364503e+08 4.5373259995001900e+08 4.5387445296170729e+08 4.5403872321475548e+08 4.5422907082594687e+08 4.5445147795238012e+08 4.5471891895348537e+08 4.5503974579930937e+08 4.5541599603938818e+08 4.5585333309459102e+08 4.5636023197099888e+08 4.5694626103495532e+08 4.5762168290546107e+08 4.5839718875325513e+08 4.5928352452442437e+08 4.6029093754908109e+08 4.6142840018029803e+08 4.6270244785612470e+08 4.6411568079169935e+08 4.6566474987724847e+08 4.6733788181887239e+08 4.6911175451946628e+08 4.7108585959990293e+08 4.7305972589012557e+08 4.7493112416686052e+08 4.7656383708701456e+08 4.7778702644554478e+08 4.7839979604519051e+08 4.7818303819208658e+08 4.7691969470591754e+08 4.7442304491204947e+08 4.7056542318030000e+08 4.6530334228259438e+08 4.5871222840640086e+08 4.5098818475459540e+08 4.4238408301366293e+08 4.3320536394765508e+08 4.2377731633835238e+08 4.1439050868909550e+08 4.0528756249563688e+08 3.9664242815349573e+08 3.8858419828592986e+08 3.8117082614637572e+08 3.7444099828018343e+08 3.6838189992134380e+08 3.6299148499718648e+08 3.5823000584769654e+08 3.5405626706036240e+08 3.5044005014737344e+08 3.4732867213098669e+08 3.4466740841990185e+08 3.4242076755709046e+08 3.4052943205588114e+08 3.3896174674077713e+08 3.3767206557496583e+08 3.3662709336848807e+08 3.3577361826373714e+08 3.3505614753897440e+08 3.3444168543495333e+08 3.3389388283072191e+08 3.3336935311849040e+08 3.3299570135050261e+08 3.3261761587340826e+08 3.3223149096003854e+08 3.3182693408579057e+08 3.3140955326909745e+08 3.3096662925438905e+08 3.3051680538081169e+08 3.3001450995325828e+08 3.2947695951748997e+08 3.2889426562470245e+08 3.2825870673081076e+08 3.2756089969548213e+08 3.2679027430751067e+08 3.2593089876505715e+08 3.2498833428318894e+08 3.2392155224997079e+08 3.2272552425986814e+08 3.2138289847281289e+08 3.1987500128634363e+08 3.1818257560640472e+08 3.1628630546317399e+08 3.1416411044266933e+08 3.1182256060541558e+08 3.0921548774628985e+08 3.0635406203639030e+08 3.0324490183960229e+08 2.9991239311933786e+08 2.9639802679252732e+08 2.9278077617108983e+08 2.8917749884638083e+08 2.8578406698031509e+08 2.8283771606867319e+08 2.8071951477189124e+08 2.7995679770375884e+08 2.8131818265712214e+08 2.8591997469421834e+08 2.9545393482607871e+08 3.1259770538255411e+08 3.4186954058905381e+08 1.2987661865597160e+08 +6.2209736578859349e+00 4.5331190453409457e+08 4.5326976475082934e+08 4.5319913701524907e+08 4.5310885641709870e+08 4.5302358042977107e+08 4.5298021138582414e+08 4.5299453026007044e+08 4.5303908705852187e+08 4.5308679428379709e+08 4.5313299989038706e+08 4.5318179950879312e+08 4.5323437134547007e+08 4.5329088871906114e+08 4.5335213265856820e+08 4.5341931329877257e+08 4.5349362312190986e+08 4.5357657302327383e+08 4.5367014346310216e+08 4.5377670218064398e+08 4.5389894060356414e+08 4.5403996558560288e+08 4.5420325433168226e+08 4.5439243599281985e+08 4.5461343986185735e+08 4.5487917558616263e+08 4.5519795873050696e+08 4.5557179254295379e+08 4.5600628475494623e+08 4.5650983966691178e+08 4.5709194305570704e+08 4.5776276243446428e+08 4.5853287999304837e+08 4.5941291745424670e+08 4.6041298142941928e+08 4.6154188615764838e+08 4.6280599121679062e+08 4.6420770382870108e+08 4.6574346683809125e+08 4.6740128810028118e+08 4.6915762315297264e+08 4.7111015780891418e+08 4.7305940213632053e+08 4.7490296011545318e+08 4.7650455773488653e+08 4.7769346255954427e+08 4.7826910182167619e+08 4.7801295584053749e+08 4.7670884093458068e+08 4.7417117486042154e+08 4.7027361654041302e+08 4.6497406042164677e+08 4.5834915994895434e+08 4.5059591764036036e+08 4.4196773719175923e+08 4.3277012670767546e+08 4.2332802954993439e+08 4.1393139847102231e+08 4.0482209392949045e+08 3.9617330043985105e+08 3.8811338623552501e+08 3.8069973028920430e+08 3.7397053350969291e+08 3.6791265355821824e+08 3.6252376108265406e+08 3.5776394822804075e+08 3.5359190797370297e+08 3.4997732548214108e+08 3.4686749287563050e+08 3.4420767784835076e+08 3.4196236631525576e+08 3.4007227152695006e+08 3.3850571958966720e+08 3.3721707821881628e+08 3.3617304331263620e+08 3.3532042180471468e+08 3.3460375272465748e+08 3.3399003430909622e+08 3.3344292990649199e+08 3.3291909277316332e+08 3.3254594203905749e+08 3.3216836602304792e+08 3.3178276247007537e+08 3.3137875224405611e+08 3.3096193552419311e+08 3.3051961182752395e+08 3.3007039090826792e+08 3.2956877431644028e+08 3.2903195033134091e+08 3.2845004385911727e+08 3.2781534378429174e+08 3.2711847963973981e+08 3.2634889549045008e+08 3.2549068271389776e+08 3.2454938676882964e+08 3.2348404597794610e+08 3.2228963379154986e+08 3.2094882180504012e+08 3.1944296163793576e+08 3.1775282220418948e+08 3.1585911362380695e+08 3.1373978690602791e+08 3.1140139530603808e+08 3.0879784406508350e+08 3.0594028351063716e+08 3.0283532306731474e+08 2.9950731576138103e+08 2.9599769646969897e+08 2.9238533183948928e+08 2.8878692310002846e+08 2.8539807057458043e+08 2.8245569952259880e+08 2.8034035953740430e+08 2.7957867441672558e+08 2.8093822098023897e+08 2.8553379723377603e+08 2.9505487994995546e+08 3.1217549709102809e+08 3.4140779022743690e+08 1.2954179251352614e+08 +6.2259419806601928e+00 4.5347928404257137e+08 4.5343712396093005e+08 4.5336645416491294e+08 4.5327611231315243e+08 4.5319076387907171e+08 4.5314732412796301e+08 4.5316158139976603e+08 4.5320607432341319e+08 4.5325370089739352e+08 4.5329980239867151e+08 4.5334847164704710e+08 4.5340088267063457e+08 4.5345720332433897e+08 4.5351820838411027e+08 4.5358510085422778e+08 4.5365906490375823e+08 4.5374160131361890e+08 4.5383467851972717e+08 4.5394065005111694e+08 4.5406219069778705e+08 4.5420238771124923e+08 4.5436469505223376e+08 4.5455271092135060e+08 4.5477231177446973e+08 4.5503634254342979e+08 4.5535308238114107e+08 4.5572450027069342e+08 4.5615614829577523e+08 4.5665636009549457e+08 4.5723453891762501e+08 4.5790075724511778e+08 4.5866548839235640e+08 4.5953922999307793e+08 4.6053194812246823e+08 4.6165229914408392e+08 4.6290646708942837e+08 4.6429666659494716e+08 4.6581913299095887e+08 4.6746165595931846e+08 4.6920046952999508e+08 4.7113145656692338e+08 4.7305610895172757e+08 4.7487186579189074e+08 4.7644239859420383e+08 4.7759708301565909e+08 4.7813567194849747e+08 4.7784023551131415e+08 4.7649546542464548e+08 4.7391691742753482e+08 4.6997957285583121e+08 4.6464270390512639e+08 4.5798418590286976e+08 4.5020191453506124e+08 4.4154981944106919e+08 4.3233347100926811e+08 4.2287746364679784e+08 4.1347113255240762e+08 4.0435557686276168e+08 3.9570321604203451e+08 3.8764169543346339e+08 3.8022782147561550e+08 3.7349931119589645e+08 3.6744269626242441e+08 3.6205536542312145e+08 3.5729725176398200e+08 3.5312693758598393e+08 3.4951401247765428e+08 3.4640574426301140e+08 3.4374739345284659e+08 3.4150342377582026e+08 3.3961457958521909e+08 3.3804916865114921e+08 3.3676157277284974e+08 3.3571847927669376e+08 3.3486671425201404e+08 3.3415084879660863e+08 3.3353787546071959e+08 3.3299147031239110e+08 3.3246832663794142e+08 3.3209567752415282e+08 3.3171861154904813e+08 3.3133352994346571e+08 3.3093006697797799e+08 3.3051381498617309e+08 3.3007209226891404e+08 3.2962347501020920e+08 3.2912253801417899e+08 3.2858644129281217e+08 3.2800532312301373e+08 3.2737148282933092e+08 3.2667556263216877e+08 3.2590702088882369e+08 3.2504997217090851e+08 3.2410994621641594e+08 3.2304604828417236e+08 3.2185325371411091e+08 3.2051425756315511e+08 3.1901043670058990e+08 3.1732258607896429e+08 3.1543144193636137e+08 3.1331498673061335e+08 3.1097975694318348e+08 3.0837973127379560e+08 3.0552604021346551e+08 3.0242528423881114e+08 2.9910178340100676e+08 2.9559691647447598e+08 2.9198944332125080e+08 2.8839590862450325e+08 2.8501164060856616e+08 2.8207325388434923e+08 2.7996077842231947e+08 2.7920012639741886e+08 2.8055783250318885e+08 2.8514718599394321e+08 2.9465537683199990e+08 3.1175281453865969e+08 3.4094552122740591e+08 1.2920758869078071e+08 +6.2309103034344506e+00 4.5364358393572485e+08 4.5360139784415448e+08 4.5353068664602953e+08 4.5344028444764483e+08 4.5335486439257419e+08 4.5331135430000061e+08 4.5332554997331500e+08 4.5336997878971523e+08 4.5341752448048234e+08 4.5346352168987691e+08 4.5351206040049464e+08 4.5356431044924515e+08 4.5362043424048388e+08 4.5368120029789561e+08 4.5374780449633199e+08 4.5382142269458228e+08 4.5390354556061614e+08 4.5399612950802201e+08 4.5410151385756838e+08 4.5422235676419955e+08 4.5436172588236940e+08 4.5452305193480486e+08 4.5470990218638539e+08 4.5492810028477418e+08 4.5519042644326204e+08 4.5550512339742947e+08 4.5587412590276808e+08 4.5630293043656546e+08 4.5679980002358139e+08 4.5737405544088870e+08 4.5803567422145939e+08 4.5879502090729588e+08 4.5966246918285185e+08 4.6064784476887584e+08 4.6175964639383298e+08 4.6300388285795254e+08 4.6438257662395090e+08 4.6589175603775936e+08 4.6751899328883964e+08 4.6924030175725472e+08 4.7114976423476523e+08 4.7304985497522968e+08 4.7483785013439810e+08 4.7637736891617411e+08 4.7749789738170093e+08 4.7799951629789275e+08 4.7766488735172236e+08 4.7627957854733360e+08 4.7366028313535643e+08 4.6968330270800889e+08 4.6430928327092475e+08 4.5761731665788609e+08 4.4980618558757257e+08 4.4113033959350693e+08 4.3189540631670463e+08 4.2242562770073432e+08 4.1300971961127222e+08 4.0388801959598756e+08 3.9523218290932322e+08 3.8716913351116532e+08 3.7975510705402279e+08 3.7302733843931645e+08 3.6697203491775924e+08 3.6158630471617693e+08 3.5682992299231708e+08 3.5266136229678208e+08 3.4905011741727805e+08 3.4594343247935539e+08 3.4328656133836001e+08 3.4104394597728133e+08 3.3915636221521795e+08 3.3759209986731303e+08 3.3630555514503515e+08 3.3526340714224786e+08 3.3441250146806502e+08 3.3369744160197294e+08 3.3308521472473359e+08 3.3253950987287515e+08 3.3201706052823073e+08 3.3164491361444890e+08 3.3126835825359565e+08 3.3088379917519349e+08 3.3048088407596576e+08 3.3006519743635809e+08 3.2962407635182506e+08 3.2917606345209295e+08 3.2867580680295461e+08 3.2814043814938605e+08 3.2756010915370917e+08 3.2692712959232950e+08 3.2623215438719183e+08 3.2546465620300859e+08 3.2460877282238549e+08 3.2367001829520077e+08 3.2260756481937981e+08 3.2141638965683347e+08 3.2007921135307556e+08 3.1857743205451030e+08 3.1689187278102714e+08 3.1500329591816974e+08 3.1288971539704937e+08 3.1055765095585752e+08 3.0796115476607805e+08 3.0511133748913121e+08 3.0201479064390212e+08 2.9869580127020210e+08 2.9519569197715962e+08 2.9159311572394401e+08 2.8800446046404946e+08 2.8462478206743622e+08 2.8169038408771783e+08 2.7958077632362819e+08 2.7882115852878958e+08 2.8017702213382250e+08 2.8476014596268201e+08 2.9425543062643665e+08 3.1132966317878670e+08 3.4048273955259204e+08 1.2887400718850945e+08 +6.2358786262087085e+00 4.5380480309653056e+08 4.5376259311772931e+08 4.5369184063671410e+08 4.5360137965667349e+08 4.5351588852010143e+08 4.5347230840014625e+08 4.5348644247624022e+08 4.5353080695594698e+08 4.5357827153259039e+08 4.5362416426487356e+08 4.5367257227246243e+08 4.5372466118791890e+08 4.5378058797760302e+08 4.5384111491333455e+08 4.5390743074343580e+08 4.5398070301792789e+08 4.5406241229360878e+08 4.5415450296480882e+08 4.5425930014520979e+08 4.5437944535883248e+08 4.5451798666653651e+08 4.5467833156059098e+08 4.5486401638492703e+08 4.5508081200972843e+08 4.5534143392649812e+08 4.5565408844949979e+08 4.5602067614238971e+08 4.5644663791933346e+08 4.5694016623912776e+08 4.5751049946775305e+08 4.5816752026820576e+08 4.5892148451655757e+08 4.5978264208635509e+08 4.6076067852911127e+08 4.6186393518076366e+08 4.6309824592610556e+08 4.6446544146761870e+08 4.6596134369972646e+08 4.6757330799909902e+08 4.6927712795655149e+08 4.7116508918649906e+08 4.7304064885840833e+08 4.7480092209218031e+08 4.7630947796065491e+08 4.7739591523124635e+08 4.7786064474545908e+08 4.7748692150975317e+08 4.7606119066985852e+08 4.7340128249813002e+08 4.6938481666780466e+08 4.6397380904380441e+08 4.5724856258919448e+08 4.4940874092829424e+08 4.4070930746113729e+08 4.3145594207387727e+08 4.2197253076400036e+08 4.1254716830487651e+08 4.0341943040742159e+08 3.9476020896949202e+08 3.8669570807918346e+08 3.7928159435188299e+08 3.7255462231961644e+08 3.6650067638790351e+08 3.6111658563883156e+08 3.5636196842969024e+08 3.5219518848665208e+08 3.4858564656630427e+08 3.4548056369252026e+08 3.4282518759185278e+08 3.4058393894010568e+08 3.3869762538305104e+08 3.3713451916113657e+08 3.3584903122464281e+08 3.3480783277357650e+08 3.3395778929752076e+08 3.3324353696962959e+08 3.3263205791837323e+08 3.3208705439509171e+08 3.3156530024133933e+08 3.3119365610091799e+08 3.3081761192106205e+08 3.3043357594310987e+08 3.3003120930851513e+08 3.2961608863806850e+08 3.2917556983247203e+08 3.2872816198175150e+08 3.2822858642199343e+08 3.2769394663097179e+08 3.2711440767097187e+08 3.2648228978193718e+08 3.2578826060070193e+08 3.2502180711645883e+08 3.2416709033579487e+08 3.2322960865663701e+08 3.2216860121640068e+08 3.2097904723268056e+08 3.1964368876400793e+08 3.1814395326264518e+08 3.1646068784409708e+08 3.1457468106969309e+08 3.1246397836856967e+08 3.1013508276732177e+08 3.0754211991922009e+08 3.0469618066548222e+08 3.0160384755623835e+08 2.9828937458470011e+08 2.9479402813256437e+08 2.9119635413933074e+08 2.8761258364815980e+08 2.8423749992131144e+08 2.8130709505131638e+08 2.7920035812324131e+08 2.7844177568000758e+08 2.7979579476405764e+08 2.8437268211128289e+08 2.9385504647089648e+08 3.1090604844773340e+08 3.4001945114863718e+08 1.2854104800042391e+08 +6.2408469489829663e+00 4.5396294917665911e+08 4.5392071489295793e+08 4.5384992352690953e+08 4.5375940437145817e+08 4.5367384278657824e+08 4.5363019295339090e+08 4.5364426542698228e+08 4.5368856534326899e+08 4.5373594857593459e+08 4.5378173664800900e+08 4.5383001378939462e+08 4.5388194141632807e+08 4.5393767106855136e+08 4.5399795876733726e+08 4.5406398613636440e+08 4.5413691241966844e+08 4.5421820806507611e+08 4.5430980544941306e+08 4.5441401548283786e+08 4.5453346305976588e+08 4.5467117665424597e+08 4.5483054053313094e+08 4.5501506013792819e+08 4.5523045358923656e+08 4.5548937165711379e+08 4.5579998422867364e+08 4.5616415771479613e+08 4.5658727750933689e+08 4.5707746555244023e+08 4.5764387786200410e+08 4.5829630231169564e+08 4.5904488621845138e+08 4.5989975578722924e+08 4.6087045658499223e+08 4.6196517279842347e+08 4.6318956371711159e+08 4.6454526869652718e+08 4.6602790371402931e+08 4.6762460801714349e+08 4.6931095626617110e+08 4.7117743981236041e+08 4.7302849926603836e+08 4.7476109062501794e+08 4.7623873499574018e+08 4.7729114614343733e+08 4.7771906716938853e+08 4.7730634813198310e+08 4.7584031215698308e+08 4.7313992602467591e+08 4.6908412529662120e+08 4.6363629173568469e+08 4.5687793405524957e+08 4.4900959067057085e+08 4.4028673283688122e+08 4.3101508770359534e+08 4.2151818186526108e+08 4.1208348726862955e+08 4.0294981755487829e+08 3.9428730212946939e+08 3.8622142672707927e+08 3.7880729067725992e+08 3.7208116989624524e+08 3.6602862751681834e+08 3.6064621484904867e+08 3.5589339457434899e+08 3.5172842251700550e+08 3.4812060617041588e+08 3.4501714405153650e+08 3.4236327828196520e+08 3.4012340866636825e+08 3.3823837503717780e+08 3.3667643243795693e+08 3.3539200688392198e+08 3.3435176201694512e+08 3.3350258356656224e+08 3.3278914071132386e+08 3.3217841084091431e+08 3.3163410966823417e+08 3.3111305155763882e+08 3.3074191075696868e+08 3.3036637831862730e+08 3.2998286600782716e+08 3.2958104842927438e+08 3.2916649433737236e+08 3.2872657844846284e+08 3.2827977632975453e+08 3.2778088259287018e+08 3.2724697244990194e+08 3.2666822437701237e+08 3.2603696908949178e+08 3.2534388695237023e+08 3.2457847929462814e+08 3.2372493036269814e+08 3.2278872293545675e+08 3.2172916309163630e+08 3.2054123203639281e+08 3.1920769536788785e+08 3.1771000587090242e+08 3.1602903678441972e+08 3.1414560287444246e+08 3.1203778109255773e+08 3.0971205778359133e+08 3.0712263209464681e+08 3.0428057505383855e+08 3.0119246023357749e+08 2.9788250854376197e+08 2.9439193007942486e+08 2.9079916364332318e+08 2.8722028319000369e+08 2.8384979912480688e+08 2.8092339167916685e+08 2.7881952868804604e+08 2.7806198270449597e+08 2.7941415527148849e+08 2.8398479939783448e+08 2.9345422948817509e+08 3.1048197576535642e+08 3.3955566194221085e+08 1.2820871111321221e+08 +6.2458152717572242e+00 4.5411802855513597e+08 4.5407577347667700e+08 4.5400494079381746e+08 4.5391436503170270e+08 4.5382873369401395e+08 4.5378501451076752e+08 4.5379902536697310e+08 4.5384326049568689e+08 4.5389056215560365e+08 4.5393624538635528e+08 4.5398439150103682e+08 4.5403615768679649e+08 4.5409169006884968e+08 4.5415173841930908e+08 4.5421747723964518e+08 4.5429005746968919e+08 4.5437093945084983e+08 4.5446204354496342e+08 4.5456566646101630e+08 4.5468441646784073e+08 4.5482130245715839e+08 4.5497968547936863e+08 4.5516304008770436e+08 4.5537703168533367e+08 4.5563424632037246e+08 4.5594281744920999e+08 4.5630457736699289e+08 4.5672485599245012e+08 4.5721170479554313e+08 4.5777419750973511e+08 4.5842202729996359e+08 4.5916523303407609e+08 4.6001381738967675e+08 4.6097718613752770e+08 4.6206336656054908e+08 4.6327784367290246e+08 4.6462206589948475e+08 4.6609144383714789e+08 4.6767290128638881e+08 4.6934179483891326e+08 4.7118682451471734e+08 4.7301341487466586e+08 4.7471836470265800e+08 4.7616514929824317e+08 4.7718359970343620e+08 4.7757479345136404e+08 4.7712317736533380e+08 4.7561695336865187e+08 4.7287622421568865e+08 4.6878123914435983e+08 4.6329674184392864e+08 4.5650544139910531e+08 4.4860874490879756e+08 4.3986262549393886e+08 4.3057285260920399e+08 4.2106259001365131e+08 4.1161868511678278e+08 4.0247918927414030e+08 3.9381347027463859e+08 3.8574629702298552e+08 3.7833220331670964e+08 3.7160698820895946e+08 3.6555589512911814e+08 3.6017519898510259e+08 3.5542420790531713e+08 3.5126107073129016e+08 3.4765500245721805e+08 3.4455317968697947e+08 3.4190083945834064e+08 3.3966236113945574e+08 3.3777861710768121e+08 3.3621784558493412e+08 3.3493448797634453e+08 3.3389520070001328e+08 3.3304689008421117e+08 3.3233425862054396e+08 3.3172427927421200e+08 3.3118068146392691e+08 3.3066032023895794e+08 3.3028968333824217e+08 3.2991466319523287e+08 3.2953167511095363e+08 3.2913040717312092e+08 3.2871642026239234e+08 3.2827710792086279e+08 3.2783091220856613e+08 3.2733270102001691e+08 3.2679952130108327e+08 3.2622156495656258e+08 3.2559117318814987e+08 3.2489903910380238e+08 3.2413467838611180e+08 3.2328229853623599e+08 3.2234736674885178e+08 3.2128925604350799e+08 3.2010294964657640e+08 3.1877123671963078e+08 3.1727559540784085e+08 3.1559692510181177e+08 3.1371606679959726e+08 3.1161112899859059e+08 3.0928858139442688e+08 3.0670269663667673e+08 3.0386452594918239e+08 3.0078063391713619e+08 2.9747520833183330e+08 2.9398940294082350e+08 2.9040154929664499e+08 2.8682756408825558e+08 2.8346168461747569e+08 2.8053927885969126e+08 2.7843829287031585e+08 2.7768178444145101e+08 2.7903210851864380e+08 2.8359650276403111e+08 2.9305298478513223e+08 3.1005745053443807e+08 3.3909137784277517e+08 1.2787699650657843e+08 +6.2507835945314820e+00 4.5427005202712363e+08 4.5422777282981002e+08 4.5415690096197587e+08 4.5406626806630093e+08 4.5398056776183230e+08 4.5393677964508945e+08 4.5395072886032665e+08 4.5399489897865641e+08 4.5404211884022510e+08 4.5408769704994726e+08 4.5413571197828817e+08 4.5418731657433063e+08 4.5424265155700374e+08 4.5430246045117760e+08 4.5436791063950050e+08 4.5444014475934023e+08 4.5452061304845577e+08 4.5461122385642350e+08 4.5471425969303370e+08 4.5483231220645076e+08 4.5496837071085405e+08 4.5512577304795510e+08 4.5530796289953715e+08 4.5552055298254085e+08 4.5577606462442219e+08 4.5608259484731221e+08 4.5644194186830932e+08 4.5685938017696095e+08 4.5734289082300454e+08 4.5790146531688654e+08 4.5854470220184779e+08 4.5928253200381589e+08 4.6012483401826882e+08 4.6108087440812677e+08 4.6215852379952139e+08 4.6336309325449151e+08 4.6469584068348241e+08 4.6615197184135306e+08 4.6771819576652354e+08 4.6936965184416211e+08 4.7119325171129698e+08 4.7299540437365532e+08 4.7467275330570853e+08 4.7608873015182251e+08 4.7707328550149924e+08 4.7742783347512937e+08 4.7693741935615754e+08 4.7539112466167957e+08 4.7261018756511104e+08 4.6847616875209105e+08 4.6295516985385185e+08 4.5613109494736254e+08 4.4820621371991974e+08 4.3943699518573385e+08 4.3012924617156482e+08 4.2060576419650084e+08 4.1115277044143546e+08 4.0200755378015900e+08 3.9333872126943982e+08 3.8527032651509392e+08 3.7785633953620446e+08 3.7113208427659631e+08 3.6508248602858675e+08 3.5970354466593391e+08 3.5495441488199115e+08 3.5079313945223027e+08 3.4718884163550436e+08 3.4408867671103239e+08 3.4143787715248239e+08 3.3920080232546234e+08 3.3731835750611490e+08 3.3575876447125947e+08 3.3447648033775353e+08 3.3343815463349015e+08 3.3259071464074177e+08 3.3187889647324318e+08 3.3126966898171073e+08 3.3072677553575563e+08 3.3020711202992612e+08 3.2983697958270448e+08 3.2946247228186911e+08 3.2908000897782505e+08 3.2867929125809103e+08 3.2826587212330884e+08 3.2782716395220345e+08 3.2738157531363732e+08 3.2688404738941300e+08 3.2635159886112595e+08 3.2577443507700706e+08 3.2514490773490995e+08 3.2445372269893128e+08 3.2369041002162796e+08 3.2283920047278446e+08 3.2190554569651800e+08 3.2084888565365994e+08 3.1966420562362099e+08 3.1833431835701150e+08 3.1684072738530648e+08 3.1516435827858305e+08 3.1328607829475987e+08 3.1118402750042588e+08 3.0886465897260064e+08 3.0628231887345874e+08 3.0344803863044363e+08 3.0036837383212799e+08 2.9706747911626285e+08 2.9358645182383013e+08 2.9000351614416611e+08 2.8643443132560748e+08 2.8307316132410812e+08 2.8015476146653658e+08 2.7805665550693792e+08 2.7730118571480697e+08 2.7864965935280019e+08 2.8320779713659030e+08 2.9265131745237416e+08 3.0963247814182073e+08 3.3862660474065399e+08 1.2754590415328029e+08 +6.2557519173057399e+00 4.5441902070076913e+08 4.5437671925287199e+08 4.5430580924587619e+08 4.5421512001391095e+08 4.5412935157367730e+08 4.5408549495000118e+08 4.5409938249363095e+08 4.5414348738084590e+08 4.5419062522052491e+08 4.5423609823104477e+08 4.5428398181642371e+08 4.5433542467628402e+08 4.5439056213353997e+08 4.5445013146818548e+08 4.5451529294505483e+08 4.5458718090299970e+08 4.5466723547818136e+08 4.5475735301064712e+08 4.5485980181532884e+08 4.5497715692161494e+08 4.5511238807270408e+08 4.5526880990969473e+08 4.5544983526025778e+08 4.5566102418755865e+08 4.5591483329914409e+08 4.5621932318032306e+08 4.5657625800996637e+08 4.5699085689207453e+08 4.5747103050852150e+08 4.5802568821166724e+08 4.5866433400643241e+08 4.5939679018888474e+08 4.6023281281739765e+08 4.6118152863760191e+08 4.6225065186829227e+08 4.6344531994106317e+08 4.6476660067387283e+08 4.6620949551691133e+08 4.6776049943422574e+08 4.6939453546471959e+08 4.7119672983202028e+08 4.7297447646300578e+08 4.7462426542424321e+08 4.7600948684915704e+08 4.7696021313393223e+08 4.7727819712695503e+08 4.7674908424999714e+08 4.7516283638878453e+08 4.7234182655980486e+08 4.6816892464900017e+08 4.6261158623700440e+08 4.5575490501131821e+08 4.4780200716223407e+08 4.3900985164582509e+08 4.2968427775211424e+08 4.2014771337965399e+08 4.1068575181358343e+08 4.0153491926519847e+08 3.9286306295656395e+08 3.8479352272928929e+08 3.7737970658136261e+08 3.7065646509846509e+08 3.6460840700026917e+08 3.5923125849075854e+08 3.5448402194481122e+08 3.5032463498486787e+08 3.4672212989495784e+08 3.4362364121687794e+08 3.4097439737769395e+08 3.3873873817076689e+08 3.3685760212643993e+08 3.3529919494803834e+08 3.3401798978579921e+08 3.3298062960926354e+08 3.3213406300912279e+08 3.3142306002682555e+08 3.3081458570945793e+08 3.3027239761952919e+08 3.2975343265706503e+08 3.2938380521032059e+08 3.2900981129238641e+08 3.2862787331512088e+08 3.2822770638395917e+08 3.2781485561344826e+08 3.2737675222799683e+08 3.2693177132195491e+08 3.2643492737010324e+08 3.2590321079023814e+08 3.2532684038771486e+08 3.2469817836788189e+08 3.2400794336467201e+08 3.2324567981485605e+08 3.2239564177105463e+08 3.2146326536097306e+08 3.2040805748651302e+08 3.1922500551129240e+08 3.1789694580049551e+08 3.1640540729822141e+08 3.1473134178040040e+08 3.1285564279293895e+08 3.1075648199459445e+08 3.0844029587478888e+08 3.0586150411647606e+08 3.0303111836009961e+08 2.9995568518743354e+08 2.9665932604882681e+08 2.9318308181982815e+08 2.8960506921509463e+08 2.8604088986936373e+08 2.8268423415316755e+08 2.7976984435804391e+08 2.7767462141989845e+08 2.7692019133320981e+08 2.7826681260632503e+08 2.8281868742676479e+08 2.9224923256545651e+08 3.0920706395664197e+08 3.3816134850830346e+08 1.2721543401916926e+08 +6.2607202400799977e+00 4.5456494609982389e+08 4.5452262280297536e+08 4.5445167335532343e+08 4.5436092775784159e+08 4.5427509177240646e+08 4.5423116703618556e+08 4.5424499287612188e+08 4.5428903231217253e+08 4.5433608790848613e+08 4.5438145554430389e+08 4.5442920763173634e+08 4.5448048861213130e+08 4.5453542842114115e+08 4.5459475809622955e+08 4.5465963078731626e+08 4.5473117253665495e+08 4.5481081338202947e+08 4.5490043765742534e+08 4.5500229948498017e+08 4.5511895728036815e+08 4.5525336122177976e+08 4.5540880275737149e+08 4.5558866387918758e+08 4.5579845202822161e+08 4.5605055909578806e+08 4.5635300922805256e+08 4.5670753260388690e+08 4.5711929298921376e+08 4.5759613074848753e+08 4.5814687314303410e+08 4.5878092972454584e+08 4.5950801467145401e+08 4.6033776095161849e+08 4.6127915608672965e+08 4.6233975813678050e+08 4.6352453123028147e+08 4.6483435351293528e+08 4.6626402267083865e+08 4.6779982028053051e+08 4.6941645389919430e+08 4.7119726732115233e+08 4.7295063985551119e+08 4.7457291005826563e+08 4.7592742868898296e+08 4.7684439220012897e+08 4.7712589429543704e+08 4.7655818219134635e+08 4.7493209889863110e+08 4.7207115167907923e+08 4.6785951735443938e+08 4.6226600145083106e+08 4.5537688188554609e+08 4.4739613527648592e+08 4.3858120458861768e+08 4.2923795669094759e+08 4.1968844650769496e+08 4.1021763778290480e+08 4.0106129390110123e+08 3.9238650315761447e+08 3.8431589317205852e+08 3.7690231167703772e+08 3.7018013765278798e+08 3.6413366480805016e+08 3.5875834703911281e+08 3.5401303551449114e+08 3.4985556361496955e+08 3.4625487340642905e+08 3.4315807927963084e+08 3.4051040612865865e+08 3.3827617460468954e+08 3.3639635684376186e+08 3.3483914284801596e+08 3.3355902211997092e+08 3.3252263140166247e+08 3.3167694094450271e+08 3.3096675502148831e+08 3.3035903518561369e+08 3.2981755343302792e+08 3.2929928782887679e+08 3.2893016592348093e+08 3.2855668592267275e+08 3.2817527381178814e+08 3.2777565823305458e+08 3.2736337640760231e+08 3.2692587841597956e+08 3.2648150589356667e+08 3.2598534661311716e+08 3.2545436273025274e+08 3.2487878652062869e+08 3.2425099070858365e+08 3.2356170671012998e+08 3.2280049336162049e+08 3.2195162801216030e+08 3.2102053130725175e+08 3.1996677708838308e+08 3.1878535483628345e+08 3.1745912455363214e+08 3.1596964062379670e+08 3.1429788105617017e+08 3.1242476571061194e+08 3.1032849786085147e+08 3.0801549744005829e+08 3.0544025766087610e+08 3.0261377038401204e+08 2.9954257317594296e+08 2.9625075426563531e+08 2.9277929800465298e+08 2.8920621352287257e+08 2.8564694467170101e+08 2.8229490799861282e+08 2.7938453237765700e+08 2.7729219541649163e+08 2.7653880609092063e+08 2.7788357309670258e+08 2.8242917853101063e+08 2.9184673518338156e+08 3.0878121333238250e+08 3.3769561500005388e+08 1.2688558606322791e+08 +6.2656885628542556e+00 4.5470783344905800e+08 4.5466548380849952e+08 4.5459449792924792e+08 4.5450369815319210e+08 4.5441779501044399e+08 4.5437380253219765e+08 4.5438756663990331e+08 4.5443154040401185e+08 4.5447851353961748e+08 4.5452377562667960e+08 4.5457139606206942e+08 4.5462251502334529e+08 4.5467725706458849e+08 4.5473634698443258e+08 4.5480093081928241e+08 4.5487212631863427e+08 4.5495135342458135e+08 4.5504048446776849e+08 4.5514175938189089e+08 4.5525771997217029e+08 4.5539129685871279e+08 4.5554575830605048e+08 4.5572445548643821e+08 4.5593284325419968e+08 4.5618324878713048e+08 4.5648365979063654e+08 4.5683577248326927e+08 4.5724469533954883e+08 4.5771819845948249e+08 4.5826502708006030e+08 4.5889449638586259e+08 4.5961621255268168e+08 4.6043968560557795e+08 4.6137376403494698e+08 4.6242584999487090e+08 4.6360073463851386e+08 4.6489910686033142e+08 4.6631556112647063e+08 4.6783616631336963e+08 4.6943541536059225e+08 4.7119487263571203e+08 4.7292390327498424e+08 4.7451869621740651e+08 4.7584256497888994e+08 4.7672583230586934e+08 4.7697093487019128e+08 4.7636472332406080e+08 4.7469892253529084e+08 4.7179817339400876e+08 4.6754795737663692e+08 4.6191842593886638e+08 4.5499703584777743e+08 4.4698860808379537e+08 4.3815106370743328e+08 4.2879029230744380e+08 4.1922797250376856e+08 4.0974843687688476e+08 4.0058668583783489e+08 3.9190904967341900e+08 3.8383744532731372e+08 3.7642416202777898e+08 3.6970310889875883e+08 3.6365826619680464e+08 3.5828481687115490e+08 3.5354146199257302e+08 3.4938593160861546e+08 3.4578707832227659e+08 3.4269199695471495e+08 3.4004590938121247e+08 3.3781311753759962e+08 3.3593462751544607e+08 3.3437861398593974e+08 3.3309958312216306e+08 3.3206416576682836e+08 3.3121935418337160e+08 3.3050998717922616e+08 3.2990302311990118e+08 3.2936224867666310e+08 3.2884468323647869e+08 3.2847606740657675e+08 3.2810310185084057e+08 3.2772221613987345e+08 3.2732315247041160e+08 3.2691144016371214e+08 3.2647454816543722e+08 3.2603078467072499e+08 3.2553531075229496e+08 3.2500506030539709e+08 3.2443027909026378e+08 3.2380335036027360e+08 3.2311501832718599e+08 3.2235485624073666e+08 3.2150716476030838e+08 3.2057734908335960e+08 3.1952504998906189e+08 3.1834525910729957e+08 3.1702086010271645e+08 3.1553343282263291e+08 3.1386398153730053e+08 3.1199345244681239e+08 3.0990008046226752e+08 3.0759026899213094e+08 3.0501858478519344e+08 3.0219599993183833e+08 2.9912904297446209e+08 2.9584176888595468e+08 2.9237510543797773e+08 2.8880695406573814e+08 2.8525260066902429e+08 2.8190518773918772e+08 2.7899883035346913e+08 2.7690938228865814e+08 2.7615703476714301e+08 2.7749994562620497e+08 2.8203927533009541e+08 2.9144383035021204e+08 3.0835493160517836e+08 3.3722941005177778e+08 1.2655636023760900e+08 +6.2706568856285134e+00 4.5484768297864616e+08 4.5480531524681056e+08 4.5473429173309231e+08 4.5464343777575892e+08 4.5455746792370188e+08 4.5451340808376938e+08 4.5452711043834358e+08 4.5457101831062573e+08 4.5461790877007639e+08 4.5466306513624042e+08 4.5471055376772702e+08 4.5476151057340556e+08 4.5481605473029292e+08 4.5487490480230182e+08 4.5493919971534026e+08 4.5501004892839086e+08 4.5508886229115677e+08 4.5517750013445705e+08 4.5527818820711684e+08 4.5539345170838976e+08 4.5552620170601135e+08 4.5567968329094791e+08 4.5585721683413732e+08 4.5606420463618338e+08 4.5631290916731042e+08 4.5661128168973905e+08 4.5696098450277597e+08 4.5736707083609897e+08 4.5783724057925653e+08 4.5838015701187205e+08 4.5900504104134846e+08 4.5972139095381379e+08 4.6053859398240054e+08 4.6146535978114414e+08 4.6250893485150307e+08 4.6367393769965619e+08 4.6496086839412344e+08 4.6636411872382689e+08 4.6786954555554825e+08 4.6945142807565886e+08 4.7118955424542034e+08 4.7289427545638353e+08 4.7446163292018181e+08 4.7575490503280330e+08 4.7660454306120616e+08 4.7681332874326700e+08 4.7616871778958696e+08 4.7446331763833362e+08 4.7152290216847694e+08 4.6723425521235335e+08 4.6156887013178200e+08 4.5461537715979171e+08 4.4657943558749866e+08 4.3771943867636883e+08 4.2834129389915043e+08 4.1876630026915115e+08 4.0927815760133505e+08 4.0011110320347029e+08 3.9143071028208715e+08 3.8335818665893018e+08 3.7594526481688452e+08 3.6922538577372962e+08 3.6318221789110774e+08 3.5781067452712560e+08 3.5306930776166224e+08 3.4891574521347445e+08 3.4531875077550548e+08 3.4222540028038323e+08 3.3958091309343272e+08 3.3734957286156827e+08 3.3547241998079383e+08 3.3391761415892452e+08 3.3263967855557680e+08 3.3160523844300926e+08 3.3076130844493854e+08 3.3005276220418173e+08 3.2944655520490497e+08 3.2890648903268671e+08 3.2838962455303973e+08 3.2802151532641244e+08 3.2764906473663080e+08 3.2726870595251536e+08 3.2687019474186075e+08 3.2645905252076691e+08 3.2602276710891676e+08 3.2557961327800822e+08 3.2508482540361440e+08 3.2455530912270844e+08 3.2398132369372076e+08 3.2335526290947586e+08 3.2266788378971249e+08 3.2190877401302880e+08 3.2106225756196678e+08 3.2013372421962237e+08 3.1908288170106375e+08 3.1790472381675011e+08 3.1658215791663307e+08 3.1509678933854628e+08 3.1342964863839620e+08 3.1156170838399577e+08 3.0947123514537191e+08 3.0716461583694762e+08 3.0459649075122386e+08 3.0177781221727270e+08 2.9871509974304205e+08 2.9543237501395148e+08 2.9197050916340542e+08 2.8840729582612610e+08 2.8485786278222567e+08 2.8151507823785710e+08 2.7861274309881240e+08 2.7652618681350893e+08 2.7577488212589216e+08 2.7711593498220223e+08 2.8164898268956667e+08 2.9104052309354347e+08 3.0792822409479105e+08 3.3676273948098767e+08 1.2622775648767373e+08 +6.2756252084027713e+00 4.5498450901188087e+08 4.5494212133650583e+08 4.5487105998303610e+08 4.5478015286193967e+08 4.5469411715284091e+08 4.5464999035984528e+08 4.5466363094693136e+08 4.5470747270671421e+08 4.5475428027813482e+08 4.5479933075302720e+08 4.5484668743027753e+08 4.5489748194612849e+08 4.5495182810641879e+08 4.5501043824186522e+08 4.5507444417191720e+08 4.5514494706745839e+08 4.5522334668904018e+08 4.5531149137134027e+08 4.5541159268274462e+08 4.5552615922028661e+08 4.5565808250736678e+08 4.5581058446927458e+08 4.5598695469495243e+08 4.5619254296674114e+08 4.5643954705139655e+08 4.5673588176841795e+08 4.5708317553735948e+08 4.5748642639167899e+08 4.5795326406478804e+08 4.5849226994877994e+08 4.5911257076127529e+08 4.5982355701649362e+08 4.6063449330523735e+08 4.6155395064239460e+08 4.6258902013281918e+08 4.6374414796469647e+08 4.6501964580792856e+08 4.6640970331855869e+08 4.6789996604546845e+08 4.6946450028597510e+08 4.7118132063266313e+08 4.7286176514604920e+08 4.7440172919448262e+08 4.7566445817056781e+08 4.7648053408005726e+08 4.7665308580883253e+08 4.7597017572927654e+08 4.7422529454222572e+08 4.7124534845802003e+08 4.6691842134805787e+08 4.6121734444477028e+08 4.5423191606695920e+08 4.4616862777258718e+08 4.3728633914923346e+08 4.2789097074378639e+08 4.1830343868338841e+08 4.0880680844040239e+08 3.9963455410430223e+08 3.9095149274172580e+08 3.8287812460922277e+08 3.7546562720734173e+08 3.6874697519577307e+08 3.6270552659557587e+08 3.5733592652767527e+08 3.5259657918447679e+08 3.4844501065807128e+08 3.4484989688075346e+08 3.4175829527497351e+08 3.3911542320444405e+08 3.3688554645044369e+08 3.3500974005966896e+08 3.3345614914490032e+08 3.3217931416576725e+08 3.3114585515049708e+08 3.3030280943028778e+08 3.2959508578226393e+08 3.2898963711521065e+08 3.2845028016557735e+08 3.2793411743391031e+08 3.2756651533198178e+08 3.2719458022314280e+08 3.2681474888593471e+08 3.2641679067719477e+08 3.2600621910113686e+08 3.2557054086092907e+08 3.2512799732171947e+08 3.2463389616499192e+08 3.2410511477148241e+08 3.2353192591003126e+08 3.2290673392441142e+08 3.2222030865501350e+08 3.2146225222230488e+08 3.2061691194589859e+08 3.1968966222896951e+08 3.1864027771887243e+08 3.1746375443862975e+08 3.1614302344718331e+08 3.1465971559735870e+08 3.1299488775713336e+08 3.1112953888731623e+08 3.0904196723953670e+08 3.0673854326430589e+08 3.0417398080462611e+08 3.0135921243667996e+08 2.9830074862625396e+08 2.9502257773678380e+08 2.9156551420954049e+08 2.8800724377069700e+08 2.8446273591722459e+08 2.8112458434281242e+08 2.7822627541156763e+08 2.7614261375298381e+08 2.7539235291634309e+08 2.7673154593656421e+08 2.8125830545985246e+08 2.9063681842531270e+08 3.0750109610378504e+08 3.3629560908713579e+08 1.2589977475202996e+08 +6.2805935311770291e+00 4.5511831727664083e+08 4.5507590659765255e+08 4.5500481024850655e+08 4.5491384989844161e+08 4.5482774936668068e+08 4.5478355605038017e+08 4.5479713486200458e+08 4.5484091028891182e+08 4.5488763476280689e+08 4.5493257917811275e+08 4.5497980375287127e+08 4.5503043584884274e+08 4.5508458390166193e+08 4.5514295401637018e+08 4.5520667090548480e+08 4.5527682745768565e+08 4.5535481334635735e+08 4.5544246491470778e+08 4.5554197955272031e+08 4.5565584926171505e+08 4.5578694602749920e+08 4.5593846861935228e+08 4.5611367586305678e+08 4.5631786505794269e+08 4.5656316927495801e+08 4.5685746688984782e+08 4.5720235248188359e+08 4.5760276894004756e+08 4.5806627589469534e+08 4.5860137292037839e+08 4.5921709263595504e+08 4.5992271790039575e+08 4.6072739081585073e+08 4.6163954395533699e+08 4.6266611328313154e+08 4.6381137300319606e+08 4.6507544681302226e+08 4.6645232278303945e+08 4.6792743583571517e+08 4.6947464024603331e+08 4.7117018029263914e+08 4.7282638110102952e+08 4.7433899407682580e+08 4.7557123372026342e+08 4.7635381498027003e+08 4.7649021596139610e+08 4.7576910728131515e+08 4.7398486357716727e+08 4.7096552271037674e+08 4.6660046625784439e+08 4.6086385927949393e+08 4.5384666279749537e+08 4.4575619460458922e+08 4.3685177475974041e+08 4.2743933209682113e+08 4.1783939660555279e+08 4.0833439785665190e+08 3.9915704662514257e+08 3.9047140478796566e+08 3.8239726659975922e+08 3.7498525634097761e+08 3.6826788406214261e+08 3.6222819899487698e+08 3.5686057937402278e+08 3.5212328260481358e+08 3.4797373415159935e+08 3.4438052273368788e+08 3.4129068793886238e+08 3.3864944563458103e+08 3.3642104415975505e+08 3.3454659355538917e+08 3.3299422470415360e+08 3.3171849568033248e+08 3.3068602159155852e+08 3.2984386282232463e+08 3.2913696358191746e+08 3.2853227450707138e+08 3.2799362772199279e+08 3.2747816751621997e+08 3.2711107305435854e+08 3.2673965393453175e+08 3.2636035055824733e+08 3.2596294588748062e+08 3.2555294550899947e+08 3.2511787501861542e+08 3.2467594239162630e+08 3.2418252861726874e+08 3.2365448282273638e+08 3.2308209130118901e+08 3.2245776895609438e+08 3.2177229846139616e+08 3.2101529639450973e+08 3.2017113342400867e+08 3.1924516860731256e+08 3.1819724352035981e+08 3.1702235643110925e+08 3.1570346212922788e+08 3.1422221700847548e+08 3.1255970427397615e+08 3.1069694930563158e+08 3.0861228205686271e+08 3.0631205654699922e+08 3.0375106017434943e+08 3.0094020577097911e+08 2.9788599475177401e+08 2.9461238212619549e+08 2.9116012558812743e+08 2.8760680285027272e+08 2.8406722496386284e+08 2.8073371088663870e+08 2.7783943207462192e+08 2.7575866785453039e+08 2.7500945187244964e+08 2.7634678324703580e+08 2.8086724847578984e+08 2.9023272134197736e+08 3.0707355291860527e+08 3.3582802465149087e+08 1.2557241496257043e+08 +6.2855618539512870e+00 4.5524911049843508e+08 4.5520667967470276e+08 4.5513554967518169e+08 4.5504453596165419e+08 4.5495837127670145e+08 4.5491411187136513e+08 4.5492762889974284e+08 4.5497133777497810e+08 4.5501797894409555e+08 4.5506281713372296e+08 4.5510990945884842e+08 4.5516037900703961e+08 4.5521432884604508e+08 4.5527245885928136e+08 4.5533588665492743e+08 4.5540569684266579e+08 4.5548326901291943e+08 4.5557042751931971e+08 4.5566935558109993e+08 4.5578252860668182e+08 4.5591279905140543e+08 4.5606334253955829e+08 4.5623738715308791e+08 4.5644017774388659e+08 4.5668378269429529e+08 4.5697604393695420e+08 4.5731852225297630e+08 4.5771610543452483e+08 4.5817628306635129e+08 4.5870747297567695e+08 4.5931861377484661e+08 4.6001888078556561e+08 4.6081729377475882e+08 4.6172214707372075e+08 4.6274022176508147e+08 4.6387562040118933e+08 4.6512827913669831e+08 4.6649198500461996e+08 4.6795196299453735e+08 4.6948185622522920e+08 4.7115614173229569e+08 4.7278813208822352e+08 4.7427343661284316e+08 4.7547524101536536e+08 4.7622439538452387e+08 4.7632472909640771e+08 4.7556552258306754e+08 4.7374203506795931e+08 4.7068343536425531e+08 4.6628040040557128e+08 4.6050842502350140e+08 4.5345962756310356e+08 4.4534214603064418e+08 4.3641575512104040e+08 4.2698638719335365e+08 4.1737418287152493e+08 4.0786093429039830e+08 3.9867858882935143e+08 3.8999045413551682e+08 3.8191562003026557e+08 3.7450415933954352e+08 3.6778811924994761e+08 3.6175024175367504e+08 3.5638463954785764e+08 3.5164942434678584e+08 3.4750192188403815e+08 3.4391063441080195e+08 3.4082258425345194e+08 3.3818298628626674e+08 3.3595607182623577e+08 3.3408298625180101e+08 3.3253184657897580e+08 3.3125722880847394e+08 3.3022574345013893e+08 3.2938447428611165e+08 3.2867840125366151e+08 3.2807447301918060e+08 3.2753653733016104e+08 3.2702178041998768e+08 3.2665519410652226e+08 3.2628429147810227e+08 3.2590551656942815e+08 3.2550866596610475e+08 3.2509923733087945e+08 3.2466477516029662e+08 3.2422345405818230e+08 3.2373072832349956e+08 3.2320341883076572e+08 3.2263182541086751e+08 3.2200837353788948e+08 3.2132385873116863e+08 3.2056791203861403e+08 3.1972492749063730e+08 3.1880024883251441e+08 3.1775378456593293e+08 3.1658053523353875e+08 3.1526347938028306e+08 3.1378429896374464e+08 3.1212410355249041e+08 3.1026394497017932e+08 3.0818218489420080e+08 3.0588516094163597e+08 3.0332773407250237e+08 3.0052079738415736e+08 2.9747084323149067e+08 2.9420179323832154e+08 2.9075434829540294e+08 2.8720597800031483e+08 2.8367133479691678e+08 2.8034246268665028e+08 2.7745221785547262e+08 2.7537435384956199e+08 2.7462618371390325e+08 2.7596165165524238e+08 2.8047581655696547e+08 2.8982823682400805e+08 3.0664559980854535e+08 3.3535999193643486e+08 1.2524567704451035e+08 +6.2905301767255448e+00 4.5537689948047435e+08 4.5533444887826437e+08 4.5526328367742300e+08 4.5517221815663964e+08 4.5508598964801311e+08 4.5504166456113446e+08 4.5505511979569203e+08 4.5509876190332276e+08 4.5514531956330884e+08 4.5519005136346990e+08 4.5523701129352885e+08 4.5528731816971821e+08 4.5534106969110119e+08 4.5539895952519560e+08 4.5546209817946333e+08 4.5553156198662293e+08 4.5560872045796752e+08 4.5569538596320766e+08 4.5579372755318743e+08 4.5590620404982477e+08 4.5603564838546437e+08 4.5618521304986346e+08 4.5635809539996493e+08 4.5655948787777305e+08 4.5680139418584299e+08 4.5709161981401092e+08 4.5743169178657645e+08 4.5782644284867585e+08 4.5828329259708256e+08 4.5881057718373072e+08 4.5941714130661839e+08 4.6011205287007117e+08 4.6090420946120787e+08 4.6180176737056464e+08 4.6281135305808121e+08 4.6393689776189399e+08 4.6517815052244598e+08 4.6652869788666570e+08 4.6797355560422635e+08 4.6948615650482273e+08 4.7113921347116816e+08 4.7274702688557309e+08 4.7420506585606545e+08 4.7537648939586943e+08 4.7609228491851169e+08 4.7615663511126798e+08 4.7535943176923537e+08 4.7349681933375007e+08 4.7039909685066020e+08 4.6595823424273252e+08 4.6015105204917103e+08 4.5307082055849922e+08 4.4492649197905803e+08 4.3597828982595664e+08 4.2653214524662536e+08 4.1690780629638845e+08 4.0738642616017193e+08 3.9819918875790352e+08 3.8950864847702736e+08 3.8143319228023857e+08 3.7402234330357867e+08 3.6730768761601514e+08 3.6127166151644647e+08 3.5590811351037961e+08 3.5117501071524453e+08 3.4702958002675349e+08 3.4344023797031790e+08 3.4035399018133640e+08 3.3771605104325271e+08 3.3549063526867992e+08 3.3361892391493225e+08 3.3206902049364191e+08 3.3079551924157488e+08 3.2976502639267069e+08 3.2892464946884680e+08 3.2821940442940080e+08 3.2761623827223247e+08 3.2707901460152292e+08 3.2656496174675590e+08 3.2619888408431768e+08 3.2582849844247425e+08 3.2545025250242424e+08 3.2505395648929560e+08 3.2464510013556916e+08 3.2421124684799147e+08 3.2377053787630194e+08 3.2327850082867759e+08 3.2275192833205330e+08 3.2218113376588869e+08 3.2155855318567562e+08 3.2087499496821135e+08 3.2012010464552838e+08 3.1927829962234360e+08 3.1835490836542803e+08 3.1730990629823560e+08 3.1613829626923788e+08 3.1482308060048604e+08 3.1334596683840674e+08 3.1168809093927348e+08 3.0983053119607967e+08 3.0775168102964789e+08 3.0545786168772894e+08 3.0290400769483864e+08 3.0010099242398959e+08 2.9705529916079801e+08 2.9379081611179948e+08 2.9034818731231773e+08 2.8680477414058727e+08 2.8327507027557522e+08 2.7995084454512161e+08 2.7706463750719452e+08 2.7498967645553303e+08 2.7424255314439040e+08 2.7557615588885587e+08 2.8008401450820935e+08 2.8942336983578306e+08 3.0621724202620119e+08 3.3489151668676436e+08 1.2491956091642600e+08 +6.2954984994998027e+00 4.5550169094263548e+08 4.5545921858583164e+08 4.5538801821458459e+08 4.5529690328419834e+08 4.5521061130541682e+08 4.5516622088095915e+08 4.5517961430374467e+08 4.5522318943386096e+08 4.5526966338166744e+08 4.5531428863034993e+08 4.5536111602226979e+08 4.5541126010412031e+08 4.5546481320769876e+08 4.5552246278977329e+08 4.5558531225816208e+08 4.5565442967360216e+08 4.5573117447259331e+08 4.5581734704326838e+08 4.5591510227452928e+08 4.5602688240619928e+08 4.5615550085618234e+08 4.5630408698933631e+08 4.5647580745903152e+08 4.5667580233421499e+08 4.5691601064651197e+08 4.5720420144466954e+08 4.5754186803751004e+08 4.5793378817530817e+08 4.5838731152425641e+08 4.5891069263309944e+08 4.5951268237890184e+08 4.6020224137103993e+08 4.6098814517247552e+08 4.6187841223581028e+08 4.6287951466035062e+08 4.6399521270479727e+08 4.6522506873096734e+08 4.6656246934775257e+08 4.6799222176126856e+08 4.6948754938089269e+08 4.7111940403981578e+08 4.7270307428101939e+08 4.7413389086814660e+08 4.7527498820772260e+08 4.7595749321160692e+08 4.7598594390297508e+08 4.7515084497224259e+08 4.7324922668919468e+08 4.7011251759137058e+08 4.6563397820844758e+08 4.5979175071496981e+08 4.5268025196053994e+08 4.4450924235899699e+08 4.3553938844752210e+08 4.2607661544880122e+08 4.1644027567290920e+08 4.0691088186294127e+08 3.9771885443034023e+08 3.8902599548454660e+08 3.8094999070754731e+08 3.7353981531271321e+08 3.6682659599602354e+08 3.6079246490794957e+08 3.5543100770406109e+08 3.5070004799590409e+08 3.4655671473115838e+08 3.4296933945071590e+08 3.3988491166685933e+08 3.3724864577047539e+08 3.3502474028754997e+08 3.3315441229255217e+08 3.3160575215371859e+08 3.3033337265205824e+08 3.2930387606691277e+08 3.2846439399942833e+08 3.2775997872413552e+08 3.2715757586891592e+08 3.2662106512880802e+08 3.2610771708051223e+08 3.2574214856489038e+08 3.2537228039930564e+08 3.2499456392197955e+08 3.2459882301464462e+08 3.2419053947410715e+08 3.2375729562500447e+08 3.2331719938111877e+08 3.2282585166099405e+08 3.2230001684443933e+08 3.2173002187501818e+08 3.2110831339754832e+08 3.2042571265910292e+08 3.1967187968907309e+08 3.1883125527813107e+08 3.1790915264961952e+08 3.1686561414277351e+08 3.1569564494337487e+08 3.1438227117280316e+08 3.1290722599008393e+08 3.1125167176393819e+08 3.0939671328062296e+08 3.0732077572583717e+08 3.0503016400816810e+08 3.0247988622108740e+08 2.9968079602182263e+08 2.9663936761903137e+08 2.9337945577083272e+08 2.8994164760286504e+08 2.8640319617481488e+08 2.8287843624338424e+08 2.7955886124861628e+08 2.7667669576662230e+08 2.7460464037429100e+08 2.7385856485325837e+08 2.7519030065923810e+08 2.7969184711820322e+08 2.8901812532610744e+08 3.0578848480786788e+08 3.3442260462857431e+08 1.2459406649029210e+08 +6.3004668222740605e+00 4.5562348825841463e+08 4.5558099918973315e+08 4.5550976175547028e+08 4.5541859764731187e+08 4.5533224310388666e+08 4.5528778761131585e+08 4.5530111919649911e+08 4.5534462714591146e+08 4.5539101718035638e+08 4.5543553571864790e+08 4.5548223043069482e+08 4.5553221159990394e+08 4.5558556618823463e+08 4.5564297544790775e+08 4.5570553569121134e+08 4.5577430670899487e+08 4.5585063786703032e+08 4.5593631757754767e+08 4.5603348657111990e+08 4.5614457051104367e+08 4.5627236330930978e+08 4.5641997121795052e+08 4.5659053020572853e+08 4.5678912800664186e+08 4.5702763899237990e+08 4.5731379577225125e+08 4.5764905798183644e+08 4.5803814842754626e+08 4.5848834690386087e+08 4.5900782643022424e+08 4.5960524415814954e+08 4.6028945352410012e+08 4.6106910822423679e+08 4.6195208907778895e+08 4.6294471408600849e+08 4.6405057286746216e+08 4.6526904153743815e+08 4.6659330732054830e+08 4.6800796957665145e+08 4.6948604316093451e+08 4.7109672198083192e+08 4.7265628307196385e+08 4.7405992071892476e+08 4.7517074680256522e+08 4.7582002989613551e+08 4.7581266537013078e+08 4.7493977232240433e+08 4.7299926744196129e+08 4.6982370799935329e+08 4.6530764273107469e+08 4.5943053136420441e+08 4.5228793193060958e+08 4.4409040706044132e+08 4.3509906053729743e+08 4.2561980697079891e+08 4.1597159977266842e+08 4.0643430977316713e+08 3.9723759384445471e+08 3.8854250280753881e+08 3.8046602264864588e+08 3.7305658242583835e+08 3.6634485120648170e+08 3.6031265853250426e+08 3.5495332855118942e+08 3.5022454245452118e+08 3.4608333213081264e+08 3.4249794487246591e+08 3.3941535463529921e+08 3.3678077631457901e+08 3.3455839266464019e+08 3.3268945711398500e+08 3.3114204724700469e+08 3.2987079469566059e+08 3.2884229810354996e+08 3.2800371348902518e+08 3.2730012973415804e+08 3.2669849139396602e+08 3.2616269448693365e+08 3.2565005198723269e+08 3.2528499310833871e+08 3.2491564290165472e+08 3.2453845637507796e+08 3.2414327108245361e+08 3.2373556087959188e+08 3.2330292701710039e+08 3.2286344409152287e+08 3.2237278632989150e+08 3.2184768986966276e+08 3.2127849522939640e+08 3.2065765965424669e+08 3.1997601727276415e+08 3.1922324262485623e+08 3.1838379990014607e+08 3.1746298711117190e+08 3.1642091350801003e+08 3.1525258664445466e+08 3.1394105646331084e+08 3.1246808175944555e+08 3.1081485133844572e+08 3.0896249650465775e+08 3.0688947422787511e+08 3.0460207310895663e+08 3.0205537481361067e+08 2.9926021329246122e+08 2.9622305366897696e+08 2.9296771722199756e+08 2.8953473411619753e+08 2.8600124899155611e+08 2.8248143752866393e+08 2.7916651756857204e+08 2.7628839735641426e+08 2.7421925029262841e+08 2.7347422351496422e+08 2.7480409066394520e+08 2.7929931916082436e+08 2.8861250822790551e+08 3.0535933337230313e+08 3.3395326146942574e+08 1.2426919367151944e+08 +6.3054351450483184e+00 4.5574230051272959e+08 4.5569979257156330e+08 4.5562852155225754e+08 4.5553730822061175e+08 4.5545089186273259e+08 4.5540637154824924e+08 4.5541964126590943e+08 4.5546308183976108e+08 4.5550938776185340e+08 4.5555379943245143e+08 4.5560036132523036e+08 4.5565017946515256e+08 4.5570333544429398e+08 4.5576050431610936e+08 4.5582277529841918e+08 4.5589119991737127e+08 4.5596711747223598e+08 4.5605230440322584e+08 4.5614888728845412e+08 4.5625927522006065e+08 4.5638624261275071e+08 4.5653287261553031e+08 4.5670227053474748e+08 4.5689947180896682e+08 4.5713628615974152e+08 4.5742040975962639e+08 4.5775326861382395e+08 4.5813953063677263e+08 4.5858640581049705e+08 4.5910198570107669e+08 4.5969483382979566e+08 4.6037369658266371e+08 4.6114710594994521e+08 4.6202280532157117e+08 4.6300695886593527e+08 4.6410298590195310e+08 4.6531007673351234e+08 4.6662121975421679e+08 4.6802080717512006e+08 4.6948164616578424e+08 4.7107117584807086e+08 4.7260666206621200e+08 4.7398316448665917e+08 4.7506377453774631e+08 4.7567990460811055e+08 4.7563680941072124e+08 4.7472622394649798e+08 4.7274695189522135e+08 4.6953267847885883e+08 4.6497923822666323e+08 4.5906740432558811e+08 4.5189387061114329e+08 4.4366999595438761e+08 4.3465731562699109e+08 4.2516172896188223e+08 4.1550178734430021e+08 4.0595671824389368e+08 3.9675541497572654e+08 3.8805817807448411e+08 3.7998129541915101e+08 3.7257265168160504e+08 3.6586246004258507e+08 3.5983224897530133e+08 3.5447508245427245e+08 3.4974850033795005e+08 3.4560943833882296e+08 3.4202606023642933e+08 3.3894532499345541e+08 3.3631244850354761e+08 3.3409159816305113e+08 3.3222406409013635e+08 3.3067791144279832e+08 3.2940779100893086e+08 3.2838029811391640e+08 3.2754261353101325e+08 3.2683986303757036e+08 3.2623899041454828e+08 3.2570390823311943e+08 3.2519197201521540e+08 3.2482742325649387e+08 3.2445859148549527e+08 3.2408193539076960e+08 3.2368730621530187e+08 3.2328016986771941e+08 3.2284814653291947e+08 3.2240927750763607e+08 3.2191931032774651e+08 3.2139495289082843e+08 3.2082655930274892e+08 3.2020659741896588e+08 3.1952591426054972e+08 3.1877419889213789e+08 3.1793593891276741e+08 3.1701641715860569e+08 3.1597580978451383e+08 3.1480912674330002e+08 3.1349944182042277e+08 3.1202853947007102e+08 3.1037763495832777e+08 3.0852788613215679e+08 3.0645778176453280e+08 3.0417359417979676e+08 3.0163047861855602e+08 2.9883924933443004e+08 2.9580636235751027e+08 2.9255560545732921e+08 2.8912745178488034e+08 2.8559893746341383e+08 2.8208407894380587e+08 2.7877381826134050e+08 2.7589974698360020e+08 2.7383351088241023e+08 2.7308953378831893e+08 2.7441753058442712e+08 2.7890643539483809e+08 2.8820652345837611e+08 3.0492979292231905e+08 3.3348349289937371e+08 1.2394494235899284e+08 +6.3104034678225762e+00 4.5585813497805685e+08 4.5581560477275723e+08 4.5574430297725058e+08 4.5565304195826638e+08 4.5556656432478666e+08 4.5552197949967140e+08 4.5553518732189071e+08 4.5557856033492649e+08 4.5562478194753844e+08 4.5566908659511489e+08 4.5571551553152663e+08 4.5576517052951664e+08 4.5581812780814642e+08 4.5587505622931284e+08 4.5593703791993785e+08 4.5600511614408672e+08 4.5608062013974065e+08 4.5616531437832546e+08 4.5626131129204905e+08 4.5637100340794963e+08 4.5649714565091181e+08 4.5664279808085501e+08 4.5681103536134481e+08 4.5700684067456031e+08 4.5724195910431057e+08 4.5752405038933778e+08 4.5785450694711071e+08 4.5823794185397142e+08 4.5868149533940971e+08 4.5919317759099126e+08 4.5978145859696037e+08 4.6045497781888616e+08 4.6122214570029372e+08 4.6209056841039288e+08 4.6306625654917145e+08 4.6415245947795713e+08 4.6534818212565005e+08 4.6664621461122596e+08 4.6803074269413686e+08 4.6947436672930175e+08 4.7104277420613986e+08 4.7255422008071619e+08 4.7390363125585335e+08 4.7495408077536207e+08 4.7553712698570323e+08 4.7545838592346662e+08 4.7451020996960741e+08 4.7249229034491706e+08 4.6923943942543733e+08 4.6464877509874845e+08 4.5870237991255605e+08 4.5149807812814039e+08 4.4324801889215708e+08 4.3421416322754920e+08 4.2470239054968160e+08 4.1503084711546332e+08 4.0547811560550326e+08 3.9627232577832311e+08 3.8757302889213336e+08 3.7949581631288791e+08 3.7208803009705925e+08 3.6537942927909136e+08 3.5935124279986691e+08 3.5399627579629022e+08 3.4927192787345487e+08 3.4513503944977939e+08 3.4155369152474856e+08 3.3847482862901396e+08 3.3584366814692163e+08 3.3362436252821374e+08 3.3175823891414464e+08 3.3021335039245236e+08 3.2894436721056163e+08 3.2791788169211102e+08 3.2708109969985670e+08 3.2637918419534230e+08 3.2577907847964257e+08 3.2524471190677881e+08 3.2473348269456971e+08 3.2436944453319496e+08 3.2400113166811591e+08 3.2362500648051316e+08 3.2323093391765720e+08 3.2282437193609190e+08 3.2239295966247261e+08 3.2195470511272067e+08 3.2146542912894553e+08 3.2094181137325823e+08 3.2037421955129689e+08 3.1975513213678622e+08 3.1907540905632669e+08 3.1832475391176623e+08 3.1748767772278583e+08 3.1656944818291843e+08 3.1553030834615940e+08 3.1436527059378529e+08 3.1305743257560241e+08 3.1158860442824811e+08 3.0994002790185314e+08 3.0809288740979022e+08 3.0602570354739082e+08 3.0374473239338219e+08 3.0120520276533288e+08 2.9841790922985309e+08 2.9538929871544755e+08 2.9214312545161074e+08 2.8871980552597415e+08 2.8519626644712114e+08 2.8168636528634959e+08 2.7838076806755000e+08 2.7551074934015888e+08 2.7344742680066127e+08 2.7270450031784475e+08 2.7403062508747023e+08 2.7851320056303453e+08 2.8780017591880924e+08 3.0449986864338589e+08 3.3301330458893245e+08 1.2362131244510822e+08 +6.3153717905968341e+00 4.5597099664688122e+08 4.5592844859720975e+08 4.5585711451035070e+08 4.5576580533301747e+08 4.5567926719424748e+08 4.5563461828761518e+08 4.5564776419841689e+08 4.5569106947137856e+08 4.5573720657909077e+08 4.5578140405074000e+08 4.5582769989555717e+08 4.5587719164063781e+08 4.5592995013160968e+08 4.5598663804348475e+08 4.5604833041482824e+08 4.5611606225360256e+08 4.5619115273841083e+08 4.5627535437963581e+08 4.5637076546714675e+08 4.5647976196938819e+08 4.5660507933052248e+08 4.5674975453307384e+08 4.5691683161943448e+08 4.5711124155543065e+08 4.5734466480035156e+08 4.5762472466256154e+08 4.5795278001480174e+08 4.5833338914865643e+08 4.5877362260244197e+08 4.5928140926195496e+08 4.5986512568115443e+08 4.6053330452214789e+08 4.6129423484455460e+08 4.6215538580311024e+08 4.6312261469975084e+08 4.6419900127974832e+08 4.6538336553620684e+08 4.6666829986888188e+08 4.6803778428622019e+08 4.6946421319751346e+08 4.7101152563137126e+08 4.7249896594097561e+08 4.7382133011916691e+08 4.7484167488394445e+08 4.7539170667024839e+08 4.7527740480619997e+08 4.7429174051277536e+08 4.7223529308188301e+08 4.6894400122362143e+08 4.6431626373797286e+08 4.5833546842336607e+08 4.5110056459026879e+08 4.4282448570615238e+08 4.3376961282874793e+08 4.2424180084048927e+08 4.1455878779110235e+08 4.0499851016668642e+08 3.9578833418397850e+08 3.8708706284533566e+08 3.7900959260295200e+08 3.7160272466857636e+08 3.6489576567076761e+08 3.5886964655109936e+08 3.5351691494060254e+08 3.4879483126867837e+08 3.4466014153932106e+08 3.4108084470102966e+08 3.3800387141137218e+08 3.3537444103577316e+08 3.3315669148697317e+08 3.3129198726084852e+08 3.2974836972887826e+08 3.2848052890149599e+08 3.2745505441439211e+08 3.2661917755311406e+08 3.2591809874996108e+08 3.2531876112020904e+08 3.2478511102907252e+08 3.2427458953799999e+08 3.2391106244491577e+08 3.2354326894980145e+08 3.2316767513754690e+08 3.2277415967656606e+08 3.2236817256456459e+08 3.2193737187830806e+08 3.2149973237160265e+08 3.2101114819045335e+08 3.2048827076536947e+08 3.1992148141265911e+08 3.1930326923562866e+08 3.1862450707684088e+08 3.1787491308709246e+08 3.1703902171940988e+08 3.1612208555815613e+08 3.1508441454835409e+08 3.1392102353188759e+08 3.1261503404288894e+08 3.1114828192304224e+08 3.0950203543083227e+08 3.0765750556753212e+08 3.0559324477114344e+08 3.0331549290579391e+08 3.0077955236684728e+08 2.9799619804425430e+08 2.9497186775624663e+08 2.9173028216408724e+08 2.8831180024012566e+08 2.8479324078409129e+08 2.8128830133759594e+08 2.7798737171270388e+08 2.7512140910256636e+08 2.7306100268890214e+08 2.7231912773240924e+08 2.7364337882490021e+08 2.7811961939305371e+08 2.8739347049436808e+08 3.0406956570447540e+08 3.3254270219114089e+08 1.2329830381581001e+08 +6.3203401133710919e+00 4.5608089520570141e+08 4.5603832617884988e+08 4.5596696296665263e+08 4.5587560499283242e+08 4.5578900723106068e+08 4.5574429474813908e+08 4.5575737874785048e+08 4.5580061610790086e+08 4.5584666851701766e+08 4.5589075866217858e+08 4.5593692128269267e+08 4.5598624966698855e+08 4.5603880928518879e+08 4.5609525663280725e+08 4.5615665966286927e+08 4.5622404512963378e+08 4.5629872215920132e+08 4.5638243130387694e+08 4.5647725671863538e+08 4.5658555781816542e+08 4.5671005057669401e+08 4.5685374891016871e+08 4.5701966626222682e+08 4.5721268142339081e+08 4.5744441024173176e+08 4.5772243959945971e+08 4.5804809486819315e+08 4.5842587960914075e+08 4.5886279473048192e+08 4.5936668789550585e+08 4.5994584232186699e+08 4.6060868399927115e+08 4.6136338076751822e+08 4.6221726497711462e+08 4.6317604089901948e+08 4.6424261900818986e+08 4.6541563480217403e+08 4.6668748351814824e+08 4.6804194011557525e+08 4.6945119392754179e+08 4.7097743870922637e+08 4.7244090848291832e+08 4.7373627017621017e+08 4.7472656623572659e+08 4.7524365330569893e+08 4.7509387595776635e+08 4.7407082569427574e+08 4.7197597038968366e+08 4.6864637425024694e+08 4.6398171452362972e+08 4.5796668014168310e+08 4.5070134008752203e+08 4.4239940620915306e+08 4.3332367390027183e+08 4.2377996891874605e+08 4.1408561805491084e+08 4.0451791021372837e+08 3.9530344810247052e+08 3.8660028749787408e+08 3.7852263154152769e+08 3.7111674237181991e+08 3.6441147595136982e+08 3.5838746675307631e+08 3.5303700623023337e+08 3.4831721671232599e+08 3.4418475066341573e+08 3.4060752570940447e+08 3.3753245919105136e+08 3.3490477294216257e+08 3.3268859074686128e+08 3.3082531478557205e+08 3.2928297506705785e+08 3.2801628166409087e+08 3.2699182183828276e+08 3.2615685262993473e+08 3.2545661222590095e+08 3.2485804384943724e+08 3.2432511110341018e+08 3.2381529803978652e+08 3.2345228247964686e+08 3.2308500881265885e+08 3.2270994683790547e+08 3.2231698896072036e+08 3.2191157721538115e+08 3.2148138863551277e+08 3.2104436473188025e+08 3.2055647295148945e+08 3.2003433649717754e+08 3.1946835030822945e+08 3.1885101412601286e+08 3.1817321371998942e+08 3.1742468180451524e+08 3.1658997627482641e+08 3.1567433464032030e+08 3.1463813373032176e+08 3.1347639087680906e+08 3.1217225151929152e+08 3.1070757722690701e+08 3.0906366278844106e+08 3.0722174581821406e+08 3.0516041061387247e+08 3.0288588085608435e+08 3.0035353251958483e+08 2.9757412082693380e+08 2.9455407447861898e+08 2.9131708053753829e+08 2.8790344081305903e+08 2.8438986529949272e+08 2.8088989186400574e+08 2.7759363390702426e+08 2.7473173093269628e+08 2.7267424317373985e+08 2.7193342064613783e+08 2.7325579643318820e+08 2.7772569659756052e+08 2.8698641205476165e+08 3.0363888925772113e+08 3.3207169134106225e+08 1.2297591635062878e+08 +6.3253084361453498e+00 4.5618783460477155e+08 4.5614524562391573e+08 4.5607385334170121e+08 4.5598244810348725e+08 4.5589579132327896e+08 4.5585101573872268e+08 4.5586403784742552e+08 4.5590720712281984e+08 4.5595317464181095e+08 4.5599715731150234e+08 4.5604318657736164e+08 4.5609235149544472e+08 4.5614471215982968e+08 4.5620091889151227e+08 4.5626203256182379e+08 4.5632907167506588e+08 4.5640333531033766e+08 4.5648655206647795e+08 4.5658079196964580e+08 4.5668839788763863e+08 4.5681206633258736e+08 4.5695478816898674e+08 4.5711954626198453e+08 4.5731116726827437e+08 4.5754120244111943e+08 4.5781720223907489e+08 4.5814045857754463e+08 4.5851542034152532e+08 4.5894901887317765e+08 4.5944902069064748e+08 4.6002361577584708e+08 4.6068112357561499e+08 4.6142959087258071e+08 4.6227621342501491e+08 4.6322654274352288e+08 4.6428332037920243e+08 4.6544499777489311e+08 4.6670377356520891e+08 4.6804321836048210e+08 4.6943531728945833e+08 4.7094052203767830e+08 4.7238005654963702e+08 4.7364846053356880e+08 4.7460876420813084e+08 4.7509297653730905e+08 4.7490780927505523e+08 4.7384747562908453e+08 4.7171433254647624e+08 4.6834656887194204e+08 4.6364513782189643e+08 4.5759602533513457e+08 4.5030041469300109e+08 4.4197279019461828e+08 4.3287635589037216e+08 4.2331690384724259e+08 4.1361134656770867e+08 4.0403632401155609e+08 3.9481767542195028e+08 3.8611271039112186e+08 3.7803494035832548e+08 3.7063009016182703e+08 3.6392656683459032e+08 3.5790470991005558e+08 3.5255655598918027e+08 3.4783909037283647e+08 3.4370887285896444e+08 3.4013374047520870e+08 3.3706059779970211e+08 3.3443466962021399e+08 3.3222006599852461e+08 3.3035822712705201e+08 3.2881717200338328e+08 3.2755163106243676e+08 3.2652818950342774e+08 3.2569413045079619e+08 3.2499473012977082e+08 3.2439693216209733e+08 3.2386471761525053e+08 3.2335561367675078e+08 3.2299311010823721e+08 3.2262635672059596e+08 3.2225182703917766e+08 3.2185942722141629e+08 3.2145459133300704e+08 3.2102501537112159e+08 3.2058860762308627e+08 3.2010140883351827e+08 3.1958001398097253e+08 3.1901483164070058e+08 3.1839837220034313e+08 3.1772153436794245e+08 3.1697406543231183e+08 3.1614054674321896e+08 3.1522620076840359e+08 3.1419147121347576e+08 3.1303137793022752e+08 3.1172909028449899e+08 3.1026649559432745e+08 3.0862491520223290e+08 3.0678561335764986e+08 3.0472720623668694e+08 3.0245590136716062e+08 2.9992714830331725e+08 2.9715168261042100e+08 2.9413592386359245e+08 2.9090352549938005e+08 2.8749473211354089e+08 2.8398614480376327e+08 2.8049114161592031e+08 2.7719955934527022e+08 2.7434171947697729e+08 2.7228715286705148e+08 2.7154738365850455e+08 2.7286788253385198e+08 2.7733143687345856e+08 2.8657900545381063e+08 3.0320784443844259e+08 3.3160027765396452e+08 1.2265414992271787e+08 +6.3302767589196076e+00 4.5629182505206144e+08 4.5624922007386065e+08 4.5617779100951093e+08 4.5608634186488110e+08 4.5599962648934591e+08 4.5595478814566565e+08 4.5596774839554048e+08 4.5601084941346222e+08 4.5605673185278803e+08 4.5610060690044969e+08 4.5614650268357038e+08 4.5619550403274059e+08 4.5624766566488647e+08 4.5630363173250675e+08 4.5636445602916855e+08 4.5643114881280923e+08 4.5650499912049347e+08 4.5658772360257185e+08 4.5668137816301948e+08 4.5678828912909293e+08 4.5691113356170648e+08 4.5705287928467822e+08 4.5721647860967147e+08 4.5740670610021931e+08 4.5763504842913061e+08 4.5790901963867438e+08 4.5822987823093635e+08 4.5860201847039771e+08 4.5903230219717604e+08 4.5952841486359566e+08 4.6009845331786507e+08 4.6075063059203929e+08 4.6149287257869381e+08 4.6233223865576905e+08 4.6327412784596080e+08 4.6432111312448215e+08 4.6547146232097900e+08 4.6671717802832562e+08 4.6804162721128327e+08 4.6941659166429257e+08 4.7090078422344351e+08 4.7231641899408746e+08 4.7355791030439913e+08 4.7448827818300992e+08 4.7493968601367229e+08 4.7471921465596408e+08 4.7362170042809278e+08 4.7145038982295144e+08 4.6804459544540626e+08 4.6330654398625761e+08 4.5722351425599092e+08 4.4989779846229416e+08 4.4154464743599850e+08 4.3242766822653794e+08 4.2285261466747987e+08 4.1313598196841747e+08 4.0355375980143368e+08 3.9433102400815517e+08 3.8562433904523450e+08 3.7754652626256251e+08 3.7014277497187388e+08 3.6344104501327562e+08 3.5742138250593740e+08 3.5207557052114159e+08 3.4736045840005583e+08 3.4323251414399964e+08 3.3965949490494645e+08 3.3658829305041111e+08 3.3396413680476362e+08 3.3175112291265911e+08 3.2989072990455544e+08 3.2835096611661679e+08 3.2708658264330363e+08 3.2606416293169898e+08 3.2523101651928586e+08 3.2453245795038170e+08 3.2393543153605199e+08 3.2340393603252542e+08 3.2289554190744150e+08 3.2253355078289306e+08 3.2216731812005866e+08 3.2179332118177539e+08 3.2140147989237428e+08 3.2099722034392643e+08 3.2056825750478154e+08 3.2013246645725405e+08 3.1964596124010897e+08 3.1912530861235571e+08 3.1856093079556918e+08 3.1794534883334142e+08 3.1726947438349253e+08 3.1652306932133442e+08 3.1569073846129942e+08 3.1477768926377571e+08 3.1374443230160719e+08 3.1258598997641617e+08 3.1128555560079241e+08 3.0982504226340121e+08 3.0818579788230175e+08 3.0634911336506391e+08 3.0429363678378373e+08 3.0202555954478329e+08 2.9950040478104872e+08 2.9672888841103953e+08 2.9371742087707317e+08 2.9048962195986205e+08 2.8708567899475265e+08 2.8358208409014469e+08 2.8009205532842177e+08 2.7680515270692301e+08 2.7395137936654526e+08 2.7189973636536402e+08 2.7116102135320610e+08 2.7247964173317999e+08 2.7693684490273762e+08 2.8617125552916950e+08 3.0277643636537123e+08 3.3112846672812808e+08 1.2233300439889082e+08 +6.3352450816938655e+00 4.5639286713079619e+08 4.5635024574978822e+08 4.5627878727017397e+08 4.5618729326657599e+08 4.5610051978990942e+08 4.5605561888607490e+08 4.5606851731306279e+08 4.5611154989633489e+08 4.5615734706821316e+08 4.5620111434850037e+08 4.5624687652404529e+08 4.5629571420375037e+08 4.5634767672874904e+08 4.5640340208759183e+08 4.5646393700073010e+08 4.5653028348325038e+08 4.5660372053542382e+08 4.5668595286518967e+08 4.5677902226013935e+08 4.5688523851355100e+08 4.5700725924543977e+08 4.5714802925235105e+08 4.5731047031432503e+08 4.5749930494571745e+08 4.5772595525549525e+08 4.5799789887381411e+08 4.5831636093453228e+08 4.5868568113869619e+08 4.5911265188781631e+08 4.5960487764931178e+08 4.6017036223934120e+08 4.6081721240741307e+08 4.6155323332212061e+08 4.6238534819512933e+08 4.6331880383554626e+08 4.6435600498986411e+08 4.6549503632099855e+08 4.6672770494026470e+08 4.6803717487092847e+08 4.6939502544511473e+08 4.7085823388334602e+08 4.7225000467737639e+08 4.7346462860815394e+08 4.7436511754660183e+08 4.7478379138400310e+08 4.7452810199529952e+08 4.7339351019869757e+08 4.7118415248263544e+08 4.6774046431699419e+08 4.6296594335666275e+08 4.5684915714080852e+08 4.4949350143249488e+08 4.4111498768699729e+08 4.3197762031539971e+08 4.2238711039817959e+08 4.1265953287426186e+08 4.0307022580364245e+08 3.9384350170533472e+08 3.8513518095858014e+08 3.7705739644185191e+08 3.6965480371509516e+08 3.6295491716029888e+08 3.5693749100465059e+08 3.5159405611052430e+08 3.4688132692375845e+08 3.4275568051720446e+08 3.3918479488640213e+08 3.3611555073733062e+08 3.3349318021289974e+08 3.3128176714251912e+08 3.2942282871918148e+08 3.2788436296654147e+08 3.2662114193436140e+08 3.2559974762667358e+08 3.2476751631995296e+08 3.2406980115819740e+08 3.2347354743024933e+08 3.2294277180458593e+08 3.2243508817279375e+08 3.2207360993840349e+08 3.2170789843948543e+08 3.2133443468749970e+08 3.2094315238888258e+08 3.2053946965680540e+08 3.2011112043785864e+08 3.1967594662859124e+08 3.1919013555729467e+08 3.1867022576806796e+08 3.1810665314047623e+08 3.1749194938278908e+08 3.1681703911257732e+08 3.1607169880516660e+08 3.1524055674905312e+08 3.1432880543023968e+08 3.1329702228095549e+08 3.1214023228255045e+08 3.1084165271295458e+08 3.0938322245401353e+08 3.0774631602138901e+08 3.0591225100217760e+08 3.0385970738235015e+08 3.0159486047755158e+08 2.9907330699927753e+08 2.9630574322895968e+08 2.9329857046803123e+08 2.9007537481426990e+08 2.8667628629433572e+08 2.8317768793755275e+08 2.7969263772122782e+08 2.7641041865593225e+08 2.7356071521728683e+08 2.7151199824990022e+08 2.7077433829955071e+08 2.7209107862271303e+08 2.7654192535125452e+08 2.8576316710268301e+08 3.0234467014006466e+08 3.3065626414299619e+08 1.2201247963965788e+08 +6.3402134044681233e+00 4.5649097663702643e+08 4.5644833772396660e+08 4.5637684894746929e+08 4.5628530892408538e+08 4.5619847820882082e+08 4.5615351491080916e+08 4.5616635154063940e+08 4.5620931550565660e+08 4.5625502722505879e+08 4.5629868659500718e+08 4.5634431503950435e+08 4.5639298895244634e+08 4.5644475229788584e+08 4.5650023690734887e+08 4.5656048243165421e+08 4.5662648264620781e+08 4.5669950652097613e+08 4.5678124682613724e+08 4.5687373124034894e+08 4.5697925302989495e+08 4.5710045038297182e+08 4.5724024508409393e+08 4.5740152840378803e+08 4.5758897085058886e+08 4.5781392998721486e+08 4.5808384703743953e+08 4.5839991381282485e+08 4.5876641550642598e+08 4.5919007514685929e+08 4.5967841629853749e+08 4.6023934984919590e+08 4.6088087639681959e+08 4.6161068055521512e+08 4.6243554958490855e+08 4.6336057835510260e+08 4.6438800373669785e+08 4.6551572766957676e+08 4.6673536234743899e+08 4.6802986955578542e+08 4.6937062703568590e+08 4.7081287964482725e+08 4.7218082246870893e+08 4.7336862457134044e+08 4.7423929168940651e+08 4.7462530230071199e+08 4.7433448118934542e+08 4.7316291504466498e+08 4.7091563078264606e+08 4.6743418582385331e+08 4.6262334626094967e+08 4.5647296421081764e+08 4.4908753362257081e+08 4.4068382068205249e+08 4.3152622154213768e+08 4.2192040003731143e+08 4.1218200787926406e+08 4.0258573021574157e+08 3.9335511633494383e+08 3.8464524360738623e+08 3.7656755806273961e+08 3.6916618328349203e+08 3.6246818992740184e+08 3.5645304184999901e+08 3.5111201902128249e+08 3.4640170205455965e+08 3.4227837795776772e+08 3.3870964628771800e+08 3.3564237663602370e+08 3.3302180554236555e+08 3.3081200432234997e+08 3.2895452915407175e+08 3.2741736809517384e+08 3.2615531444563031e+08 3.2513494907386059e+08 3.2430363532017845e+08 3.2360676520597738e+08 3.2301128528573638e+08 3.2248123036315972e+08 3.2197425789578140e+08 3.2161329299169046e+08 3.2124810308986890e+08 3.2087517296102798e+08 3.2048445010891020e+08 3.2008134466279215e+08 3.1965360955408221e+08 3.1921905351348835e+08 3.1873393715320116e+08 3.1821477080770087e+08 3.1765200402540147e+08 3.1703817918812644e+08 3.1636423388391155e+08 3.1561995919959408e+08 3.1479000690785319e+08 3.1387955455449188e+08 3.1284924642127675e+08 3.1169411009820169e+08 3.1039738684933454e+08 3.0894104137014556e+08 3.0730647479551202e+08 3.0547503141414940e+08 3.0342542314313740e+08 3.0116380923857069e+08 2.9864585998816967e+08 2.9588225204703563e+08 2.9287937756915063e+08 2.8966078894066691e+08 2.8626655883384740e+08 2.8277296110827637e+08 2.7929289349840319e+08 2.7601536184140056e+08 2.7316973163043344e+08 2.7112394308729565e+08 2.7038733905152518e+08 2.7170219777836072e+08 2.7614668287065083e+08 2.8535474498096704e+08 3.0191255084766740e+08 3.3018367545974094e+08 1.2169257549926333e+08 +6.3451817272423812e+00 4.5658615222059178e+08 4.5654349893498850e+08 4.5647197983422244e+08 4.5638039573742342e+08 4.5629350861194038e+08 4.5624848319885361e+08 4.5626125803782815e+08 4.5630415319511706e+08 4.5634977927883828e+08 4.5639333059647608e+08 4.5643882519069070e+08 4.5648733524035430e+08 4.5653889933785790e+08 4.5659414316097659e+08 4.5665409929456717e+08 4.5671975327940512e+08 4.5679236406071681e+08 4.5687361247603524e+08 4.5696551210199904e+08 4.5707033968514264e+08 4.5719071399308664e+08 4.5732953381076282e+08 4.5748965992403698e+08 4.5767571087904012e+08 4.5789897970965308e+08 4.5816687124152470e+08 4.5848054400779438e+08 4.5884422875146008e+08 4.5926457919449151e+08 4.5974903808052993e+08 4.6030542347310752e+08 4.6094162995258760e+08 4.6166522174618274e+08 4.6248285038162524e+08 4.6339945906431055e+08 4.6441711714077979e+08 4.6553354427527213e+08 4.6674015830794579e+08 4.6801971949256021e+08 4.6934340485112423e+08 4.7076473014436626e+08 4.7210888124444330e+08 4.7326990732552320e+08 4.7411081000551391e+08 4.7446422841573882e+08 4.7413836213133055e+08 4.7292992506463796e+08 4.7064483497310954e+08 4.6712577029209995e+08 4.6227876301314384e+08 4.5609494567180276e+08 4.4867990503376156e+08 4.4025115613471997e+08 4.3107348127121645e+08 4.2145249256023401e+08 4.1170341555637574e+08 4.0210028121298951e+08 3.9286587569684827e+08 3.8415453444645756e+08 3.7607701827016234e+08 3.6867692054803079e+08 3.6198086994602692e+08 3.5596804146551383e+08 3.5062946549821705e+08 3.4592158988372236e+08 3.4180061242595172e+08 3.3823405495883501e+08 3.3516877650327241e+08 3.3255001847287709e+08 3.3034184006855285e+08 3.2848583677412522e+08 3.2694998702686638e+08 3.2568910566908592e+08 3.2466977274054235e+08 3.2383937896820062e+08 3.2314335552811384e+08 3.2254865052607471e+08 3.2201931712224764e+08 3.2151305648144859e+08 3.2115260534149432e+08 3.2078793746366543e+08 3.2041554138857639e+08 3.2002537843244702e+08 3.1962285073534822e+08 3.1919573021967846e+08 3.1876179247070163e+08 3.1827737137864012e+08 3.1775894907321113e+08 3.1719698878306931e+08 3.1658404357176739e+08 3.1591106400818920e+08 3.1516785580295497e+08 3.1433909422223401e+08 3.1342994190572941e+08 3.1240110997386920e+08 3.1124762865573281e+08 3.0995276322052532e+08 3.0849850419775909e+08 3.0686627936310083e+08 3.0503745972874159e+08 3.0299078915970713e+08 3.0073241088312978e+08 2.9821806876075596e+08 2.9545841983283681e+08 2.9245984709686768e+08 2.8924586920221055e+08 2.8585650141864556e+08 2.8236790834959292e+08 2.7889282734847206e+08 2.7561998689654630e+08 2.7277843319127536e+08 2.7073557542876655e+08 2.7000002814799821e+08 2.7131300376139569e+08 2.7575112209624934e+08 2.8494599395366228e+08 3.0148008355638772e+08 3.2971070622072279e+08 1.2137329182572162e+08 +6.3501500500166390e+00 4.5667840642780828e+08 4.5663573468446511e+08 4.5656418761190110e+08 4.5647256070610058e+08 4.5638561782024229e+08 4.5634053074965060e+08 4.5635324378104746e+08 4.5639606993682420e+08 4.5644161020352149e+08 4.5648505332861376e+08 4.5653041395429808e+08 4.5657876004842931e+08 4.5663012483239609e+08 4.5668512783448261e+08 4.5674479458058131e+08 4.5681010237892574e+08 4.5688230015580940e+08 4.5696305682273704e+08 4.5705437186123258e+08 4.5715850550488359e+08 4.5727805711151981e+08 4.5741590248097271e+08 4.5757487193861675e+08 4.5775953211156797e+08 4.5798111152606148e+08 4.5824697861437339e+08 4.5855825867835623e+08 4.5891912806847495e+08 4.5933617126704305e+08 4.5981675028001750e+08 4.6036859045287651e+08 4.6099948048200935e+08 4.6171686437989759e+08 4.6252725815828329e+08 4.6343545363705051e+08 4.6444335299201202e+08 4.6554849406045574e+08 4.6674210089416879e+08 4.6800673292090809e+08 4.6931336731710130e+08 4.7071379402759218e+08 4.7203418988988912e+08 4.7316848600879544e+08 4.7397968189324737e+08 4.7430057938378954e+08 4.7393975471372098e+08 4.7269455035390157e+08 4.7037177529594755e+08 4.6681522803838044e+08 4.6193220391442174e+08 4.5571511171189630e+08 4.4827062564927149e+08 4.3981700374009055e+08 4.3061940884573495e+08 4.2098339692054123e+08 4.1122376445512658e+08 4.0161388694859558e+08 3.9237578756850761e+08 3.8366306090894014e+08 3.7558578418752652e+08 3.6818702235836989e+08 3.6149296382715368e+08 3.5548249625487369e+08 3.5014640176579797e+08 3.4544099648224634e+08 3.4132238986300802e+08 3.3775802673009259e+08 3.3469475607696992e+08 3.3207782466492838e+08 3.2987127997843981e+08 3.2801675712541044e+08 3.2648222526640153e+08 3.2522252107835454e+08 3.2420422407622224e+08 3.2337475269541657e+08 3.2267957754161799e+08 3.2208564855675137e+08 3.2155703747739035e+08 3.2105148931676298e+08 3.2069155236925870e+08 3.2032740693603581e+08 3.1995554533895862e+08 3.1956594272144097e+08 3.1916399322965199e+08 3.1873748778286350e+08 3.1830416884090835e+08 3.1782044356646299e+08 3.1730276588897753e+08 3.1674161272784156e+08 3.1612954783764941e+08 3.1545753477900636e+08 3.1471539389593637e+08 3.1388782395931834e+08 3.1297997273526525e+08 3.1195261817346275e+08 3.1080079317030865e+08 3.0950778701982534e+08 3.0805561610556364e+08 3.0642573486611098e+08 3.0459954105740041e+08 3.0255581050879914e+08 3.0030067044990534e+08 2.9778993831402266e+08 2.9503425153651851e+08 2.9203998395195389e+08 2.8883062044474930e+08 2.8544611883821064e+08 2.8196253439244699e+08 2.7849244394423181e+08 2.7522429843950748e+08 2.7238682447071964e+08 2.7034689981073636e+08 2.6961241011319244e+08 2.7092350111762255e+08 2.7535524764842981e+08 2.8453691879553801e+08 3.0104727331772125e+08 3.2923736195068610e+08 1.2105462846085431e+08 +6.3551183727908969e+00 4.5676774572583675e+08 4.5672505404171443e+08 4.5665348031314695e+08 4.5656181066885811e+08 4.5647481272015333e+08 4.5642966457691729e+08 4.5644231576306272e+08 4.5648507271985340e+08 4.5653052699021930e+08 4.5657386178518039e+08 4.5661908832714123e+08 4.5666727037503070e+08 4.5671843578295487e+08 4.5677319793387139e+08 4.5683257529943711e+08 4.5689753695875031e+08 4.5696932182619405e+08 4.5704958689281160e+08 4.5714031755216920e+08 4.5724375753191793e+08 4.5736248679182971e+08 4.5749935816143072e+08 4.5765717152864206e+08 4.5784044164782131e+08 4.5806033255677140e+08 4.5832417630264306e+08 4.5863306500079161e+08 4.5899112066976321e+08 4.5940485861826128e+08 4.5988156019957238e+08 4.6042885814739937e+08 4.6105443540953612e+08 4.6176561595602512e+08 4.6256878050264055e+08 4.6346856976167434e+08 4.6446671909470004e+08 4.6556058496077555e+08 4.6674119818986017e+08 4.6799091809220403e+08 4.6928052286952192e+08 4.7066007995004719e+08 4.7195675729765773e+08 4.7306436976484567e+08 4.7384591675381595e+08 4.7413436486032122e+08 4.7373866882717419e+08 4.7245680100313991e+08 4.7009646198641163e+08 4.6650256936756635e+08 4.6158367925201130e+08 4.5533347250484890e+08 4.4785970543358636e+08 4.3938137317182255e+08 4.3016401358727658e+08 4.2051312204978228e+08 4.1074306310323977e+08 4.0112655555295587e+08 3.9188485970519632e+08 3.8317083040591121e+08 3.7509386291715163e+08 3.6769649554386717e+08 3.6100447816119462e+08 3.5499641260099638e+08 3.4966283402915871e+08 3.4495992790302312e+08 3.4084371619066101e+08 3.3728156741315883e+08 3.3422032107624173e+08 3.3160522976125771e+08 3.2940032963130152e+08 3.2754729573591238e+08 3.2601408830124789e+08 3.2475556612860745e+08 3.2373830851209706e+08 3.2290976191455656e+08 3.2221543664490366e+08 3.2162228476490974e+08 3.2109439680673218e+08 3.2058956177116400e+08 3.2023013943763465e+08 3.1986651686368966e+08 3.1949519016314143e+08 3.1910614832034796e+08 3.1870477748287392e+08 3.1827888757400024e+08 3.1784618794773865e+08 3.1736315903155440e+08 3.1684622656094164e+08 3.1628588115713054e+08 3.1567469727315491e+08 3.1500365147118491e+08 3.1426257874172044e+08 3.1343620136819106e+08 3.1252965227737606e+08 3.1150377623652554e+08 3.1035360883965343e+08 3.0906246342316484e+08 3.0761238224570549e+08 3.0598484642900169e+08 3.0416128049361837e+08 3.0212049225011182e+08 2.9986859296109325e+08 2.9736147362795788e+08 2.9460975209208232e+08 2.9161979301772714e+08 2.8841504749885434e+08 2.8503541586654240e+08 2.8155684395208418e+08 2.7809174794324237e+08 2.7482830107301497e+08 2.7199491002340192e+08 2.6995792075415748e+08 2.6922448945571309e+08 2.7053369437810886e+08 2.7495906413224262e+08 2.8412752426504803e+08 3.0061412516609418e+08 3.2876364815529072e+08 1.2073658524032636e+08 +6.3600866955651547e+00 4.5685417162526506e+08 4.5681146616909957e+08 4.5673986399169588e+08 4.5664815291714895e+08 4.5656110031954134e+08 4.5651589169952279e+08 4.5652848099091935e+08 4.5657116855134428e+08 4.5661653664919484e+08 4.5665976297679240e+08 4.5670485532246989e+08 4.5675287323578185e+08 4.5680383920832199e+08 4.5685836048153871e+08 4.5691744847740674e+08 4.5698206405016321e+08 4.5705343610934114e+08 4.5713320972983700e+08 4.5722335622554457e+08 4.5732610282704651e+08 4.5744401010571206e+08 4.5757990793548405e+08 4.5773656579273432e+08 4.5791844660432452e+08 4.5813664993952638e+08 4.5839847146925229e+08 4.5870497016947377e+08 4.5906021378385210e+08 4.5947064851815546e+08 4.5994347515750647e+08 4.6048623393101573e+08 4.6110650217496151e+08 4.6181148399036956e+08 4.6260742501710504e+08 4.6349881514193690e+08 4.6448722326683575e+08 4.6556982492537457e+08 4.6673745829289466e+08 4.6797228326895708e+08 4.6924487995569491e+08 4.7060359657592702e+08 4.7187659236683267e+08 4.7295756774265605e+08 4.7370952399161154e+08 4.7396559450157464e+08 4.7353511436115110e+08 4.7221668709745097e+08 4.6981890527155280e+08 4.6618780457490343e+08 4.6123319929968566e+08 4.5495003820756769e+08 4.4744715433306605e+08 4.3894427408380866e+08 4.2970730479666299e+08 4.2004167685715216e+08 4.1026132000621134e+08 4.0063829513449693e+08 3.9139309984051812e+08 3.8267785032675791e+08 3.7460126153935468e+08 3.6720534691276109e+08 3.6051541951782143e+08 3.5450979686741978e+08 3.4917876847358322e+08 3.4447839017795902e+08 3.4036459731138343e+08 3.3680468280068684e+08 3.3374547720151669e+08 3.3113223938532418e+08 3.2892899458770257e+08 3.2707745811512333e+08 3.2554558160063869e+08 3.2428824625749624e+08 3.2327203146114761e+08 3.2244441202029270e+08 3.2175093821859443e+08 3.2115856452003819e+08 3.2063140047019225e+08 3.2012727919602859e+08 3.1976837189222699e+08 3.1940527258590484e+08 3.1903448119387865e+08 3.1864600055534661e+08 3.1824520881520873e+08 3.1781993490593076e+08 3.1738785509610206e+08 3.1690552307127476e+08 3.1638933637802166e+08 3.1582979934980494e+08 3.1521949714725363e+08 3.1454941934329402e+08 3.1380941558601880e+08 3.1298423168102241e+08 3.1207898574872917e+08 3.1105458936311942e+08 3.0990608084417766e+08 3.0861679758946419e+08 3.0716880775261259e+08 3.0554361915898454e+08 3.0372268311496627e+08 3.0168483942689854e+08 2.9943618342200804e+08 2.9693267966627944e+08 2.9418492641704100e+08 2.9119927916226327e+08 2.8799915517867124e+08 2.8462439726112807e+08 2.8115084172865546e+08 2.7769074398733586e+08 2.7443199938442504e+08 2.7160269439005107e+08 2.6956864276515538e+08 2.6883627066960090e+08 2.7014358805821788e+08 2.7456257613716584e+08 2.8371781510466003e+08 3.0018064411962259e+08 3.2828957032247031e+08 1.2041916199368246e+08 +6.3650550183394126e+00 4.5693769968235999e+08 4.5689497906274885e+08 4.5682334817660511e+08 4.5673159463091564e+08 4.5664448772999233e+08 4.5659921913668251e+08 4.5661174648727751e+08 4.5665436445679247e+08 4.5669964620704132e+08 4.5674276393240583e+08 4.5678772197179461e+08 4.5683557566445512e+08 4.5688634214594442e+08 4.5694062251741886e+08 4.5699942115933585e+08 4.5706369070325786e+08 4.5713465005987257e+08 4.5721393239523220e+08 4.5730349495116842e+08 4.5740554846840680e+08 4.5752263414135164e+08 4.5765755890478373e+08 4.5781306184674668e+08 4.5799355411358064e+08 4.5821007082909405e+08 4.5846987129472756e+08 4.5877398139412636e+08 4.5912641465670568e+08 4.5953354825363183e+08 4.6000250248834449e+08 4.6054072519435507e+08 4.6115568823434335e+08 4.6185447601385784e+08 4.6264319932002044e+08 4.6352619749564886e+08 4.6450487334098703e+08 4.6557622191613722e+08 4.6673088931132972e+08 4.6795083672504234e+08 4.6920644703249830e+08 4.7054435257756662e+08 4.7179370400506002e+08 4.7284808909645641e+08 4.7357051301508254e+08 4.7379427796367502e+08 4.7332910120219117e+08 4.7197421871815801e+08 4.6953911537086242e+08 4.6587094394376588e+08 4.6088077431758469e+08 4.5456481896030140e+08 4.4703298227491111e+08 4.3850571611006320e+08 4.2924929175230402e+08 4.1956907023011076e+08 4.0977854364678037e+08 4.0014911377849376e+08 3.9090051568474865e+08 3.8218412803871888e+08 3.7410798711389464e+08 3.6671358325173867e+08 3.6002579444627118e+08 3.5402265539668274e+08 3.4869421126407206e+08 3.4399638932036620e+08 3.3988503910863924e+08 3.3632737866677940e+08 3.3327023013474190e+08 3.3065885914203227e+08 3.2845728038972169e+08 3.2660724975463003e+08 3.2507671061515957e+08 3.2382056688431078e+08 3.2280539831852221e+08 3.2197870838930893e+08 3.2128608762522167e+08 3.2069449317358232e+08 3.2016805380988711e+08 3.1966464692445844e+08 3.1930625506022280e+08 3.1894367942401946e+08 3.1857342374638796e+08 3.1818550473554629e+08 3.1778529252879685e+08 3.1736063507350361e+08 3.1692917557400107e+08 3.1644754096534973e+08 3.1593210061134607e+08 3.1537337256831563e+08 3.1476395271122414e+08 3.1409484363538200e+08 3.1335590965692729e+08 3.1253192011203945e+08 3.1162797834832114e+08 3.1060506273530817e+08 3.0945821434659159e+08 3.0817079466013330e+08 3.0672489774417585e+08 3.0510205814680576e+08 3.0328375398098189e+08 3.0124885706525463e+08 2.9900344682138300e+08 2.9650356137550277e+08 2.9375977941276723e+08 2.9077844723685193e+08 2.8758294828211945e+08 2.8421306776411772e+08 2.8074453240586984e+08 2.7728943670304453e+08 2.7403539794587624e+08 2.7121018209517598e+08 2.6917907033500135e+08 2.6844775823359007e+08 2.6975318665888959e+08 2.7416578823767740e+08 2.8330779604115975e+08 2.9974683517935604e+08 3.2781513392110479e+08 1.2010235854438373e+08 +6.3700233411136704e+00 4.5701833021896881e+08 4.5697559471161467e+08 4.5690393834979075e+08 4.5681214267042476e+08 4.5672498211070561e+08 4.5667965390807670e+08 4.5669211929075974e+08 4.5673466747834283e+08 4.5677986270803750e+08 4.5682287169891286e+08 4.5686769532371479e+08 4.5691538471227723e+08 4.5696595164931667e+08 4.5701999109950238e+08 4.5707850040686500e+08 4.5714242398345989e+08 4.5721297074972224e+08 4.5729176196735543e+08 4.5738074081520987e+08 4.5748210155082506e+08 4.5759836600516200e+08 4.5773231818711692e+08 4.5788666682394987e+08 4.5806577132699144e+08 4.5828060239712590e+08 4.5853838297592109e+08 4.5884010590141392e+08 4.5918973054993433e+08 4.5959356512739718e+08 4.6005864954313630e+08 4.6059233934421539e+08 4.6120200105816621e+08 4.6189459957235426e+08 4.6267611104338557e+08 4.6355072455345237e+08 4.6451967716219854e+08 4.6557978390813816e+08 4.6672149936686653e+08 4.6792658674565935e+08 4.6916523256603146e+08 4.7048235663690311e+08 4.7170810112544638e+08 4.7273594298562992e+08 4.7342889323486507e+08 4.7362042490490592e+08 4.7312063923533118e+08 4.7172940594118911e+08 4.6925710249551976e+08 4.6555199774811023e+08 4.6052641455231917e+08 4.5417782488746381e+08 4.4661719916829646e+08 4.3806570886458772e+08 4.2878998371228141e+08 4.1909531103396130e+08 4.0929474248504239e+08 3.9965901954872888e+08 3.9040711492750591e+08 3.8168967088749677e+08 3.7361404667849648e+08 3.6622121132703710e+08 3.5953560947520548e+08 3.5353499451181918e+08 3.4820916854601580e+08 3.4351393132368857e+08 3.3940504744640881e+08 3.3584966076550895e+08 3.3279458553854245e+08 3.3018509461827278e+08 3.2798519256157434e+08 3.2613667612709326e+08 3.2460748077743649e+08 3.2335253340964377e+08 3.2233841446150684e+08 3.2151265638039112e+08 3.2082089020990264e+08 3.2023007605916047e+08 3.1970436215003383e+08 3.1920167027234358e+08 3.1884379425114769e+08 3.1848174268163902e+08 3.1811202311780053e+08 3.1772466615154123e+08 3.1732503390756673e+08 3.1690099335406399e+08 3.1647015465149003e+08 3.1598921797567457e+08 3.1547452451431966e+08 3.1491660605615735e+08 3.1430806919958347e+08 3.1363992957055193e+08 3.1290206616489750e+08 3.1207927185786659e+08 3.1117663525838101e+08 3.1015520151745033e+08 3.0901001449287593e+08 3.0772445975982493e+08 3.0628065731995082e+08 3.0466016846570259e+08 3.0284449813517374e+08 3.0081255017400569e+08 2.9857038813092864e+08 2.9607412368614620e+08 2.9333431596382260e+08 2.9035730207652324e+08 2.8716643159153372e+08 2.8380143210118330e+08 2.8033792065206301e+08 2.7688783070107919e+08 2.7363850131383467e+08 2.7081737764876628e+08 2.6878920793939102e+08 2.6805895661148724e+08 2.6936249466546834e+08 2.7376870499207473e+08 2.8289747178565496e+08 2.9931270332933152e+08 3.2734034440269041e+08 1.1978617470984310e+08 +6.3749916638879283e+00 4.5709607102371109e+08 4.5705332208054876e+08 4.5698163917483878e+08 4.5688980386072451e+08 4.5680259060761338e+08 4.5675720303951931e+08 4.5676960645570761e+08 4.5681208467502409e+08 4.5685719321351033e+08 4.5690009333914185e+08 4.5694478244462991e+08 4.5699230744725895e+08 4.5704267479023135e+08 4.5709647330263144e+08 4.5715469329855299e+08 4.5721827097503787e+08 4.5728840526809824e+08 4.5736670554226691e+08 4.5745510092046463e+08 4.5755576918669581e+08 4.5767121281917095e+08 4.5780419291817671e+08 4.5795738787386006e+08 4.5813510541179621e+08 4.5834825183173192e+08 4.5860401372643453e+08 4.5890335093536884e+08 4.5925016874172407e+08 4.5965070645848930e+08 4.6011192368783444e+08 4.6064108380216998e+08 4.6124544813281953e+08 4.6193186222656375e+08 4.6270616783410376e+08 4.6357240406240284e+08 4.6453164258873636e+08 4.6558051888847005e+08 4.6670929659186459e+08 4.6789954162643063e+08 4.6912124503354889e+08 4.7041761744356471e+08 4.7161979264865214e+08 4.7262113857457221e+08 4.7328467406407219e+08 4.7344404498255074e+08 4.7290973834301978e+08 4.7148225883682102e+08 4.6897287684883726e+08 4.6523097624865007e+08 4.6017013023591793e+08 4.5378906609688795e+08 4.4619981490423208e+08 4.3762426193982673e+08 4.2832938991208774e+08 4.1862040811165595e+08 4.0880992495905083e+08 3.9916802048589945e+08 3.8991290523494524e+08 3.8119448619656277e+08 3.7311944724928778e+08 3.6572823788333684e+08 3.5904487111249673e+08 3.5304682051513636e+08 3.4772364644537568e+08 3.4303102216221195e+08 3.3892462816997290e+08 3.3537153483290899e+08 3.3231854905718172e+08 3.2971095138156945e+08 3.2751273660836411e+08 3.2566574268761510e+08 3.2413789750183362e+08 3.2288415121656799e+08 3.2187108524840832e+08 3.2104626133401066e+08 3.2035535129858816e+08 3.1976531849230170e+08 3.1924033079641724e+08 3.1873835453701866e+08 3.1838099475663686e+08 3.1801946764420235e+08 3.1765028458783352e+08 3.1726349007637131e+08 3.1686443821783894e+08 3.1644101500663376e+08 3.1601079758025616e+08 3.1553055934615439e+08 3.1501661332237905e+08 3.1445950503978574e+08 3.1385185182816154e+08 3.1318468235390496e+08 3.1244789030307096e+08 3.1162629209831429e+08 3.1072496164281571e+08 3.0970501085731310e+08 3.0856148641116124e+08 3.0727779799515712e+08 3.0583609156345528e+08 3.0421795517161566e+08 3.0240492060305488e+08 3.0037592374596256e+08 2.9813701230561215e+08 2.9564437151177186e+08 2.9290854093830293e+08 2.8993584850036824e+08 2.8674960987257600e+08 2.8338949498262370e+08 2.7993101111959201e+08 2.7648593057669550e+08 2.7324131402978015e+08 2.7042428554509431e+08 2.6839906003908008e+08 2.6766987025206712e+08 2.6897151654866034e+08 2.7337133094450998e+08 2.8248684703280050e+08 2.9887825353708243e+08 3.2686520719893688e+08 1.1947061030146177e+08 +6.3799599866621861e+00 4.5717093514044875e+08 4.5712816951465499e+08 4.5705646054111522e+08 4.5696458519561386e+08 4.5687732031274199e+08 4.5683187356927609e+08 4.5684421505374390e+08 4.5688662312342310e+08 4.5693164480173683e+08 4.5697443593361229e+08 4.5701899041668677e+08 4.5706635095477772e+08 4.5711651865682429e+08 4.5717007621738416e+08 4.5722800693057382e+08 4.5729123877819771e+08 4.5736096072073138e+08 4.5743877023201931e+08 4.5752658238739735e+08 4.5762655850505507e+08 4.5774118172331780e+08 4.5787319024919844e+08 4.5802523216237241e+08 4.5820156355045450e+08 4.5841302633709115e+08 4.5866677077570641e+08 4.5896372375485110e+08 4.5930773652641881e+08 4.5970497958159119e+08 4.6016233230506307e+08 4.6068696600526345e+08 4.6128603695970899e+08 4.6196627155149555e+08 4.6273337735283917e+08 4.6359124378060967e+08 4.6454077749344105e+08 4.6557843485712790e+08 4.6669428913145876e+08 4.6786970967383045e+08 4.6907449292047161e+08 4.7035014369538742e+08 4.7152878750198847e+08 4.7250368503186637e+08 4.7313786491938794e+08 4.7326514785428244e+08 4.7269640840546495e+08 4.7123278747062737e+08 4.6868644862545109e+08 4.6490788969671780e+08 4.5981193158668256e+08 4.5339855267878896e+08 4.4578083935405385e+08 4.3718138490872103e+08 4.2786751956681013e+08 4.1814437028352451e+08 4.0832409948433661e+08 3.9867612460856038e+08 3.8941789425109023e+08 3.8069858126790226e+08 3.7262419582158440e+08 3.6523466964513350e+08 3.5855358584590393e+08 3.5255813968942922e+08 3.4723765106760526e+08 3.4254766779043353e+08 3.3844378710457724e+08 3.3489300658555770e+08 3.3184212631578135e+08 3.2923643498130739e+08 3.2703991801694572e+08 3.2519445487192410e+08 3.2366796618433154e+08 3.2241542566993088e+08 3.2140341602034843e+08 3.2057952857306534e+08 3.1988947620023721e+08 3.1930022577025181e+08 3.1877596503757036e+08 3.1827470499801445e+08 3.1791786185024959e+08 3.1755685957925594e+08 3.1718821341770321e+08 3.1680198176509029e+08 3.1640351070822668e+08 3.1598070527326024e+08 3.1555110959483069e+08 3.1507157030392140e+08 3.1455837225370902e+08 3.1400207472821170e+08 3.1339530579576945e+08 3.1272910717318135e+08 3.1199338724655992e+08 3.1117298599471813e+08 3.1027296264865828e+08 3.0925449588451570e+08 3.0811263521295881e+08 3.0683081445631379e+08 3.0539120554074949e+08 3.0377542330363381e+08 3.0196502639426225e+08 2.9993898275655884e+08 2.9770332428411752e+08 2.9521430974953032e+08 2.9248245918809599e+08 2.8951409131048894e+08 2.8633248787465626e+08 2.8297726110239404e+08 2.7952380844561440e+08 2.7608374090954340e+08 2.7284384061957949e+08 2.7003091026332968e+08 2.6800863108013827e+08 2.6728050358930743e+08 2.6858025676310879e+08 2.7297367062282622e+08 2.8207592646200567e+08 2.9844349075334787e+08 3.2638972772475755e+08 1.1915566512466525e+08 +6.3849283094364440e+00 4.5724292227053124e+08 4.5720014306877494e+08 4.5712840838488936e+08 4.5703649406122792e+08 4.5694917825962561e+08 4.5690367256129783e+08 4.5691595217374080e+08 4.5695828991570765e+08 4.5700322456738454e+08 4.5704590658009475e+08 4.5709032633921933e+08 4.5713752233631277e+08 4.5718749035368377e+08 4.5724080695318466e+08 4.5729844841463894e+08 4.5736133451008487e+08 4.5743064423073351e+08 4.5750796316562331e+08 4.5759519235233390e+08 4.5769447665113455e+08 4.5780827987340355e+08 4.5793931734830868e+08 4.5809020687278402e+08 4.5826515294373900e+08 4.5847493313505065e+08 4.5872666136973017e+08 4.5902123163482296e+08 4.5936244121361816e+08 4.5975639184717643e+08 4.6020988279177475e+08 4.6072999340596783e+08 4.6132377505477715e+08 4.6199783513784915e+08 4.6275774727497101e+08 4.6360725148165923e+08 4.6454708976049554e+08 4.6557353982675374e+08 4.6667648514178199e+08 4.6783709920481873e+08 4.6902498472269577e+08 4.7027994409812051e+08 4.7143509461869335e+08 4.7238359153084970e+08 4.7298847521852684e+08 4.7308374317811829e+08 4.7248065929957378e+08 4.7098100190252346e+08 4.6839782801210171e+08 4.6458274833095294e+08 4.5945182880861056e+08 4.5300629470849800e+08 4.4536028237012196e+08 4.3673708732367843e+08 4.2740438186867756e+08 4.1766720634835935e+08 4.0783727445340389e+08 3.9818333991206360e+08 3.8892208959824312e+08 3.8020196338139766e+08 3.7212829936833835e+08 3.6474051331482518e+08 3.5806176014176816e+08 3.5206895829629546e+08 3.4675118849905521e+08 3.4206387414309895e+08 3.3796253005707997e+08 3.3441408172135520e+08 3.3136532292087805e+08 3.2876155094835526e+08 3.2656674225570184e+08 3.2472281809841025e+08 3.2319769220290506e+08 3.2194636211581850e+08 3.2093541209974194e+08 3.2011246340174550e+08 3.1942327020569891e+08 3.1883480317284691e+08 3.1831127014369118e+08 3.1781072691744512e+08 3.1745440078806275e+08 3.1709392373689479e+08 3.1672581485136151e+08 3.1634014645519751e+08 3.1594225660994905e+08 3.1552006937700951e+08 3.1509109591211879e+08 3.1461225605711603e+08 3.1409980650834358e+08 3.1354432031209522e+08 3.1293843628335106e+08 3.1227320919791716e+08 3.1153856215337867e+08 3.1071935869171792e+08 3.0982064340489382e+08 3.0880366171207941e+08 3.0766346599116796e+08 3.0638351421544784e+08 3.0494600429995871e+08 3.0333257788399690e+08 3.0152482050028378e+08 2.9950173216413075e+08 2.9726932898780549e+08 2.9478394327968520e+08 2.9205607554824024e+08 2.8909203529320186e+08 2.8591507033158791e+08 2.8256473513844669e+08 2.7911631725098735e+08 2.7568126626408887e+08 2.7244608559397900e+08 2.6963725626805687e+08 2.6761792549304420e+08 2.6689086104123297e+08 2.6818871974957091e+08 2.7257572853971249e+08 2.8166471473654288e+08 2.9800841991176957e+08 3.2591391137561309e+08 1.1884133897893880e+08 +6.3898966322107018e+00 4.5731204570366251e+08 4.5726924878360868e+08 4.5719749001212549e+08 4.5710553764390761e+08 4.5701817146157473e+08 4.5697260711080539e+08 4.5698482492234701e+08 4.5702709216163045e+08 4.5707193962161529e+08 4.5711451239150757e+08 4.5715879732927692e+08 4.5720582871062052e+08 4.5725559700255138e+08 4.5730867263476843e+08 4.5736602488023466e+08 4.5742856530359489e+08 4.5749746293671840e+08 4.5757429148877203e+08 4.5766093796824318e+08 4.5775953078707784e+08 4.5787251444126236e+08 4.5800258140035820e+08 4.5815231920355904e+08 4.5832588080730319e+08 4.5853397946193558e+08 4.5878369277090698e+08 4.5907588186739433e+08 4.5941429012918216e+08 4.5980495062048757e+08 4.6025458256129807e+08 4.6077017347158980e+08 4.6135866994864255e+08 4.6202656058897418e+08 4.6277928528931004e+08 4.6362043495151854e+08 4.6455058728752697e+08 4.6556584182063019e+08 4.6665589278862327e+08 4.6780171854646873e+08 4.6897272894442314e+08 4.7020702736584711e+08 4.7133872293803823e+08 4.7226086724919349e+08 4.7283651438269061e+08 4.7289984061130160e+08 4.7226250090001386e+08 4.7072691218610346e+08 4.6810702518608147e+08 4.6425556237918061e+08 4.5908983209101397e+08 4.5261230224283135e+08 4.4493815378654778e+08 4.3629137871606886e+08 4.2693998598880666e+08 4.1718892508160609e+08 4.0734945823612714e+08 3.9768967436996621e+08 3.8842549887568647e+08 3.7970463979479498e+08 3.7163176484183896e+08 3.6424577557479924e+08 3.5756940044654185e+08 3.5157928257803589e+08 3.4626426480548728e+08 3.4157964713611031e+08 3.3748086281446481e+08 3.3393476591913855e+08 3.3088814446023816e+08 3.2828630479443914e+08 3.2609321477454567e+08 3.2425083776657975e+08 3.2272708091704619e+08 3.2147696588322735e+08 3.2046707879138851e+08 3.1964507110696030e+08 3.1895673858732134e+08 3.1836905596182412e+08 3.1784625136695588e+08 3.1734642553880292e+08 3.1699061680773616e+08 3.1663066534896517e+08 3.1626309411463684e+08 3.1587798936615729e+08 3.1548068113514704e+08 3.1505911252486676e+08 3.1463076173063242e+08 3.1415262179661614e+08 3.1364092126873207e+08 3.1308624696505600e+08 3.1248124845450842e+08 3.1181699358096200e+08 3.1108342016396904e+08 3.1026541531601083e+08 3.0936800902406329e+08 3.0835251343457198e+08 3.0721398382270920e+08 3.0593590232789373e+08 3.0450049287303835e+08 3.0288942391756433e+08 3.0108430789675814e+08 2.9906417691075653e+08 2.9683503132133228e+08 2.9435327696621978e+08 2.9162939483770216e+08 2.8866968521863616e+08 2.8549736196115941e+08 2.8215192175319874e+08 2.7870854214089394e+08 2.7527851118906289e+08 2.7204805344790065e+08 2.6924332800775385e+08 2.6722694769328138e+08 2.6650094701220486e+08 2.6779690993256602e+08 2.7217750919272804e+08 2.8125321650344944e+08 2.9757304592999071e+08 3.2543776352871311e+08 1.1852763165786320e+08 +6.3948649549849597e+00 4.5737830499422550e+08 4.5733549554265445e+08 4.5726371231235296e+08 4.5717172335652924e+08 4.5708430697685409e+08 4.5703868434884262e+08 4.5705084042415422e+08 4.5709303698722142e+08 4.5713779709151012e+08 4.5718026049851942e+08 4.5722441051824933e+08 4.5727127721184075e+08 4.5732084574074638e+08 4.5737368040250272e+08 4.5743074347211415e+08 4.5749293830950874e+08 4.5756142399395138e+08 4.5763776236260062e+08 4.5772382640435374e+08 4.5782172809055018e+08 4.5793389261566013e+08 4.5806298960555762e+08 4.5821157636950064e+08 4.5838375437359971e+08 4.5859017257005662e+08 4.5883787225556827e+08 4.5912768175855303e+08 4.5946329061338025e+08 4.5985066328265411e+08 4.6029643904021186e+08 4.6080751368398494e+08 4.6139072918624020e+08 4.6205245552341133e+08 4.6279799909788615e+08 4.6363080198938578e+08 4.6455127798430628e+08 4.6555534887514555e+08 4.6663252025115770e+08 4.6776357603595632e+08 4.6891773409918255e+08 4.7013140221917474e+08 4.7123968140557414e+08 4.7213552136826259e+08 4.7268199183329195e+08 4.7271344981131166e+08 4.7204194307803172e+08 4.7047052837006652e+08 4.6781405031646806e+08 4.6392634205714363e+08 4.5872595160930771e+08 4.5221658532185090e+08 4.4451446341793799e+08 4.3584426859676534e+08 4.2647434107687229e+08 4.1670953523732823e+08 4.0686065918035662e+08 3.9719513593257672e+08 3.8792812966118145e+08 3.7920661774410313e+08 3.7113459917236763e+08 3.6375046308547318e+08 3.5707651318595630e+08 3.5108911875635624e+08 3.4577688603331941e+08 3.4109499266510946e+08 3.3699879114470100e+08 3.3345506483822447e+08 3.3041059650293440e+08 3.2781070201314211e+08 3.2561934100510913e+08 3.2377851925781393e+08 3.2225613766792834e+08 3.2100724228197241e+08 3.1999842138161778e+08 3.1917735695661420e+08 3.1848988659956962e+08 3.1790298938039982e+08 3.1738091394201535e+08 3.1688180608846438e+08 3.1652651512936395e+08 3.1616708962919015e+08 3.1580005641558504e+08 3.1541551569974995e+08 3.1501878947949052e+08 3.1459783990433508e+08 3.1417011223160827e+08 3.1369267269605219e+08 3.1318172169974810e+08 3.1262785984265989e+08 3.1202374745461541e+08 3.1136046545721513e+08 3.1062796640064538e+08 3.0981116097686142e+08 3.0891506460016161e+08 3.0790105613025886e+08 3.0676419376648754e+08 3.0548798383159435e+08 3.0405467627402651e+08 3.0244596639162749e+08 3.0064349354136145e+08 2.9862632192072356e+08 2.9640043617300117e+08 2.9392231565622640e+08 2.9120242185890275e+08 2.8824704584015524e+08 2.8507936746453613e+08 2.8173882559288877e+08 2.7830048770523620e+08 2.7487548021728045e+08 2.7164974866163027e+08 2.6884912991621745e+08 2.6683570208153921e+08 2.6611076589024997e+08 2.6740483172246531e+08 2.7177901706396455e+08 2.8084143639450610e+08 2.9713737370765376e+08 3.2496128954368496e+08 1.1821454294915058e+08 +6.3998332777592175e+00 4.5744171234595919e+08 4.5739889251750624e+08 4.5732708339498740e+08 4.5723505817993724e+08 4.5714759194685161e+08 4.5710191143853772e+08 4.5711400581975418e+08 4.5715613153433639e+08 4.5720080412119687e+08 4.5724315804740602e+08 4.5728717305516762e+08 4.5733387499071515e+08 4.5738324372262281e+08 4.5743583741407520e+08 4.5749261135215431e+08 4.5755446069334322e+08 4.5762253457404619e+08 4.5769838296519625e+08 4.5778386484575093e+08 4.5788107575547564e+08 4.5799242160030335e+08 4.5812054917994064e+08 4.5826798560129160e+08 4.5843878088968855e+08 4.5864351972773236e+08 4.5888920711743903e+08 4.5917663863024759e+08 4.5950945002279568e+08 4.5989353722972459e+08 4.6033545967159200e+08 4.6084202153974748e+08 4.6141996032693839e+08 4.6207552757245010e+08 4.6281389641661334e+08 4.6363836040751272e+08 4.6454916977342075e+08 4.6554206903758228e+08 4.6660637571745676e+08 4.6772268002017599e+08 4.6886000870915043e+08 4.7005307738662237e+08 4.7113797897243786e+08 4.7200756307428813e+08 4.7252491699538559e+08 4.7252458043355978e+08 4.7181899570167381e+08 4.7021186049603039e+08 4.6751891356334436e+08 4.6359509756847048e+08 4.5836019752399611e+08 4.5181915396917039e+08 4.4408922105973637e+08 4.3539576645614946e+08 4.2600745625950873e+08 4.1622904554635429e+08 4.0637088561027068e+08 3.9669973252808696e+08 3.8742998950903940e+08 3.7870790444333196e+08 3.7063680926849043e+08 3.6325458248678750e+08 3.5658310476473600e+08 3.5059847303221899e+08 3.4528905820881385e+08 3.4060991660674971e+08 3.3651632079654622e+08 3.3297498411981398e+08 3.2993268459916574e+08 3.2733474807941955e+08 3.2514512636035514e+08 3.2330586793467718e+08 3.2178486777920473e+08 3.2053719660420167e+08 3.1952944513903755e+08 3.1870932620167941e+08 3.1802271947925329e+08 3.1743660865462905e+08 3.1691526308528489e+08 3.1641687377402312e+08 3.1606210095507020e+08 3.1570320177432472e+08 3.1533670694434059e+08 3.1495273063935387e+08 3.1455658681999373e+08 3.1413625668598813e+08 3.1370915257855946e+08 3.1323241391079819e+08 3.1272221294881243e+08 3.1216916408297330e+08 3.1156593841226506e+08 3.1090362994341058e+08 3.1017220596901733e+08 3.0935660076615852e+08 3.0846181521037489e+08 3.0744929485906845e+08 3.0631410086403430e+08 3.0503976374702734e+08 3.0360855950007725e+08 3.0200221027759278e+08 3.0020238237534016e+08 2.9818817210251367e+08 2.9596554841404307e+08 2.9349106418053526e+08 2.9077516139770132e+08 2.8782412189510703e+08 2.8466109152695644e+08 2.8132545128791171e+08 2.7789215851770526e+08 2.7447217786666840e+08 2.7125117569955820e+08 2.6845466641202646e+08 2.6644419304316330e+08 2.6572032204901102e+08 2.6701248951402417e+08 2.7138025662009799e+08 2.8042937902549732e+08 2.9670140812859488e+08 3.2448449476066613e+08 1.1790207263467950e+08 +6.4048016005334754e+00 4.5750227562293452e+08 4.5745944082548743e+08 4.5738760963409376e+08 4.5729554859221643e+08 4.5720803356169474e+08 4.5716229556798589e+08 4.5717432826640379e+08 4.5721638296078038e+08 4.5726096786950821e+08 4.5730321220003837e+08 4.5734709210425836e+08 4.5739362921423805e+08 4.5744279811715287e+08 4.5749515084255809e+08 4.5755163569644397e+08 4.5761313963653845e+08 4.5768080186375052e+08 4.5775616049003983e+08 4.5784106049328703e+08 4.5793758099156004e+08 4.5804810861561728e+08 4.5817526735570651e+08 4.5832155414490730e+08 4.5849096761872959e+08 4.5869402821887273e+08 4.5893770466431689e+08 4.5922275981973380e+08 4.5955277572839499e+08 4.5993357987215841e+08 4.6037165191229141e+08 4.6087370454907495e+08 4.6144637094377536e+08 4.6209578438189256e+08 4.6282698497436863e+08 4.6364311803008807e+08 4.6454427058891451e+08 4.6552601036674261e+08 4.6657746738713926e+08 4.6767903885590202e+08 4.6879956130480498e+08 4.6997206160379988e+08 4.7103362459500974e+08 4.7187700155523854e+08 4.7236529929431057e+08 4.7233324213461733e+08 4.7159366863566315e+08 4.6995091860035408e+08 4.6722162507746291e+08 4.6326183910559613e+08 4.5799257998070866e+08 4.5142001819091696e+08 4.4366243648851466e+08 4.3494588176316839e+08 4.2553934064284682e+08 4.1574746471718305e+08 4.0588014582843882e+08 3.9620347206174904e+08 3.8693108595231962e+08 3.7820850708441252e+08 3.7013840201813704e+08 3.6275814039753407e+08 3.5608918156720877e+08 3.5010735158774006e+08 3.4480078733875132e+08 3.4012442481792831e+08 3.3603345749951440e+08 3.3249452938557392e+08 3.2945441428007239e+08 3.2685844844940197e+08 3.2467057623451895e+08 3.2283288914214152e+08 3.2131327655552351e+08 3.2006683412403190e+08 3.1906015531352925e+08 3.1824098407415986e+08 3.1755524244491595e+08 3.1696991899188614e+08 3.1644930399531871e+08 3.1595163378579277e+08 3.1559737946909106e+08 3.1523900696247911e+08 3.1487305087318236e+08 3.1448963935160774e+08 3.1409407831672186e+08 3.1367436802261347e+08 3.1324788791706800e+08 3.1277185057867527e+08 3.1226240014488411e+08 3.1171016480650514e+08 3.1110782643731534e+08 3.1044649213963169e+08 3.0971614395645738e+08 3.0890173975814074e+08 3.0800826591413164e+08 3.0699723466412348e+08 3.0586371013964409e+08 3.0459124707789731e+08 3.0316214753134602e+08 3.0155816052871531e+08 2.9976097932260323e+08 2.9774973234716213e+08 2.9553037289898169e+08 2.9305952735281610e+08 2.9034761822341591e+08 2.8740091810460538e+08 2.8424253881742930e+08 2.8091180345266145e+08 2.7748355913637477e+08 2.7406860863929063e+08 2.7085233901069587e+08 2.6805994189861396e+08 2.6605242494843537e+08 2.6532961984727854e+08 2.6661988768661171e+08 2.7098123231235349e+08 2.8001704899588448e+08 2.9626515405923456e+08 3.2400738450220144e+08 1.1759022049053070e+08 +6.4097699233077332e+00 4.5756000226205128e+08 4.5751715079311472e+08 4.5744529786117005e+08 4.5735320164673769e+08 4.5726563898492289e+08 4.5721984393819964e+08 4.5723181493838924e+08 4.5727379844079709e+08 4.5731829551161498e+08 4.5736043013400638e+08 4.5740417484583300e+08 4.5745054706508720e+08 4.5749951610980988e+08 4.5755162787670773e+08 4.5760782369791418e+08 4.5766898233657634e+08 4.5773623306586653e+08 4.5781110214610261e+08 4.5789542056359929e+08 4.5799125102364463e+08 4.5810096089616442e+08 4.5822715138020641e+08 4.5837228926189399e+08 4.5854032183906072e+08 4.5874170534196568e+08 4.5898337221906513e+08 4.5926605267893165e+08 4.5959327511566252e+08 4.5997079863488197e+08 4.6040502323286623e+08 4.6090257023671883e+08 4.6146996862357306e+08 4.6211323361076665e+08 4.6283727251287782e+08 4.6364508269489080e+08 4.6453658837722570e+08 4.6550718093249446e+08 4.6654580346985054e+08 4.6763266090900683e+08 4.6873640042496836e+08 4.6988836361303443e+08 4.7092662723565155e+08 4.7174384600490993e+08 4.7220314815700340e+08 4.7213944456840760e+08 4.7136597174081188e+08 4.6968771271218252e+08 4.6692219500003850e+08 4.6292657684805775e+08 4.5762310911051774e+08 4.5101918797589028e+08 4.4323411946086419e+08 4.3449462396680337e+08 4.2507000331010300e+08 4.1526480143583828e+08 4.0538844811370736e+08 3.9570636241629803e+08 3.8643142650138301e+08 3.7770843283746266e+08 3.6963938428649473e+08 3.6226114341481614e+08 3.5559474995699596e+08 3.4961576058356094e+08 3.4431207940935236e+08 3.3963852313595819e+08 3.3555020696395862e+08 3.3201370623802477e+08 3.2897579105891299e+08 3.2638180856040704e+08 3.2419569600392073e+08 3.2235958820644474e+08 3.2084136928331488e+08 3.1959616009679103e+08 3.1859055713765931e+08 3.1777233578850967e+08 3.1708746069728023e+08 3.1650292558202899e+08 3.1598304185271335e+08 3.1548609129580259e+08 3.1513235583792233e+08 3.1477451035388851e+08 3.1440909335674644e+08 3.1402624698454118e+08 3.1363126911075234e+08 3.1321217904915363e+08 3.1278632337479943e+08 3.1231098781959969e+08 3.1180228840005904e+08 3.1125086711582053e+08 3.1064941662316364e+08 3.0998905712763983e+08 3.0925978543304795e+08 3.0844658300951487e+08 3.0755442175347137e+08 3.0654488057083923e+08 3.0541302660036129e+08 3.0414243881034493e+08 3.0271544533048218e+08 3.0111382208144659e+08 2.9931928929055363e+08 2.9731100752851236e+08 2.9509491446569526e+08 2.9262770997042340e+08 2.8991979708897591e+08 2.8697743917344511e+08 2.8382371398934907e+08 2.8049788668570375e+08 2.7707469410384864e+08 2.7366477702126223e+08 2.7045324302879184e+08 2.6766496076386830e+08 2.6566040215276110e+08 2.6493866362821493e+08 2.6622703060513857e+08 2.7058194857699132e+08 2.7960445088962168e+08 2.9582861634965098e+08 3.2352996407214785e+08 1.1727898628702185e+08 +6.4147382460819911e+00 4.5761489627935964e+08 4.5757203108892947e+08 4.5750015735997748e+08 4.5740802514864713e+08 4.5732041534420592e+08 4.5727456375880879e+08 4.5728647302478200e+08 4.5732838516416454e+08 4.5737279423882222e+08 4.5741481904314959e+08 4.5745842847570223e+08 4.5750463574072570e+08 4.5755340490171379e+08 4.5760527572051674e+08 4.5766118256557196e+08 4.5772199600630569e+08 4.5778883539861178e+08 4.5786321515776050e+08 4.5794695228810352e+08 4.5804209309258056e+08 4.5815098569317329e+08 4.5827620851562858e+08 4.5842019822904789e+08 4.5858685084433806e+08 4.5878655841068441e+08 4.5902621712044120e+08 4.5930652457446796e+08 4.5963095558472216e+08 4.6000520095794350e+08 4.6043558111924720e+08 4.6092862614215201e+08 4.6149076096717668e+08 4.6212788293082923e+08 4.6284476678694069e+08 4.6364426225080216e+08 4.6452613109591985e+08 4.6548558881632614e+08 4.6651139218567836e+08 4.6758355455467182e+08 4.6867053461740619e+08 4.6980199216407824e+08 4.7081699586092466e+08 4.7160810561864537e+08 4.7203847301179618e+08 4.7194319738893408e+08 4.7113591487459463e+08 4.6942225285448438e+08 4.6662063346409070e+08 4.6258932096340936e+08 4.5725179502890372e+08 4.5061667329533374e+08 4.4280427971459520e+08 4.3404200249395603e+08 4.2459945332297492e+08 4.1478106436598796e+08 4.0489580072302914e+08 3.9520841145159996e+08 3.8593101864336818e+08 3.7720768885049677e+08 3.6913976291806448e+08 3.6176359811575854e+08 3.5509981627734351e+08 3.4912370616029537e+08 3.4382294038807744e+08 3.3915221737873042e+08 3.3506657488054258e+08 3.3153252026092172e+08 3.2849682042853934e+08 3.2590483383202147e+08 3.2372049102661854e+08 3.2188597043550223e+08 3.2036915123103964e+08 3.1912517976039702e+08 3.1812065582545412e+08 3.1730338654113132e+08 3.1661937941869360e+08 3.1603563359701979e+08 3.1551648181989902e+08 3.1502025145868140e+08 3.1466703520982796e+08 3.1430971709161288e+08 3.1394483953144526e+08 3.1356255866852593e+08 3.1316816432659125e+08 3.1274969488260114e+08 3.1232446406186211e+08 3.1184983073606664e+08 3.1134188280826676e+08 3.1079127609574562e+08 3.1019071404461807e+08 3.0953132997187328e+08 3.0880313545139307e+08 3.0799113555931759e+08 3.0710028775321645e+08 3.0609223758753103e+08 3.0496205523589230e+08 3.0369334391301894e+08 3.0226845784304279e+08 3.0066919985531563e+08 2.9887731716899598e+08 2.9687200250432622e+08 2.9465917793523932e+08 2.9219561681441933e+08 2.8949170273114842e+08 2.8655368979000461e+08 2.8340462167944527e+08 2.8008370556977069e+08 2.7666556794667190e+08 2.7326068748403788e+08 2.7005389217283171e+08 2.6726972738092810e+08 2.6526812899635795e+08 2.6454745772035667e+08 2.6583392261914212e+08 2.7018240983423281e+08 2.7919158927482146e+08 2.9539179983317167e+08 3.2305223875637889e+08 1.1696836978874324e+08 +6.4197065688562489e+00 4.5766696629103374e+08 4.5762409102277523e+08 4.5755219421315974e+08 4.5746002641474730e+08 4.5737236980396748e+08 4.5732646224134177e+08 4.5733830973025906e+08 4.5738015033564872e+08 4.5742447125682896e+08 4.5746638613605094e+08 4.5750986020394456e+08 4.5755590245412642e+08 4.5760447170877028e+08 4.5765610159361303e+08 4.5771171952185470e+08 4.5777218787362272e+08 4.5783861609551966e+08 4.5791250676458699e+08 4.5799566291375285e+08 4.5809011445312977e+08 4.5819819027172863e+08 4.5832244603979576e+08 4.5846528833699620e+08 4.5863056194241607e+08 4.5882859475360143e+08 4.5906624672051299e+08 4.5934418288778615e+08 4.5966582455104709e+08 4.6003679429490852e+08 4.6046333307050675e+08 4.6095187981665468e+08 4.6150875558772373e+08 4.6213974002754229e+08 4.6284947556352866e+08 4.6364066455970156e+08 4.6451290671405554e+08 4.6546124210927671e+08 4.6647424176402140e+08 4.6753172817697924e+08 4.6860197243617147e+08 4.6971295601221573e+08 4.7070473944345766e+08 4.7146978959519517e+08 4.7187128328793746e+08 4.7174451024751329e+08 4.7090350789012045e+08 4.6915454904371518e+08 4.6631695059139788e+08 4.6225008160665017e+08 4.5687864783741355e+08 4.5021248410325134e+08 4.4237292696753812e+08 4.3358802675187063e+08 4.2412769972103137e+08 4.1429626214820516e+08 4.0440221188951701e+08 3.9470962700484198e+08 3.8542986984396267e+08 3.7670628224940401e+08 3.6863954473547506e+08 3.6126551105543244e+08 3.5460438685038549e+08 3.4863119443896663e+08 3.4333337622169167e+08 3.3866551334460622e+08 3.3458256692151576e+08 3.3105097701940888e+08 3.2801750786477858e+08 3.2542752966448426e+08 3.2324496664123207e+08 3.2141204111891109e+08 3.1989662764923155e+08 3.1865389833431244e+08 3.1765045657272774e+08 3.1683414151011527e+08 3.1615100377410054e+08 3.1556804819061339e+08 3.1504962904181015e+08 3.1455411941071254e+08 3.1420142271570295e+08 3.1384463230010271e+08 3.1348029451630729e+08 3.1309857951561898e+08 3.1270476907006043e+08 3.1228692062216777e+08 3.1186231507077509e+08 3.1138838441253603e+08 3.1088118844591439e+08 3.1033139681406546e+08 3.0973172375956267e+08 3.0907331571923637e+08 3.0834619904651093e+08 3.0753540242977059e+08 3.0664586892035496e+08 3.0563931070480293e+08 3.0451080101856422e+08 3.0324396733791000e+08 3.0182118999746698e+08 3.0022429875254852e+08 2.9843506783128446e+08 2.9643272211459488e+08 2.9422316811198819e+08 2.9176325264869910e+08 2.8906333986986452e+08 2.8612967462645566e+08 2.8298526650876075e+08 2.7966926467141807e+08 2.7625618517604393e+08 2.7285634448276669e+08 2.6965429084573263e+08 2.6687424610736826e+08 2.6487560980433530e+08 2.6415600643726870e+08 2.6544056806273782e+08 2.6978262048967725e+08 2.7877846870356917e+08 2.9495470932574636e+08 3.2257421382177293e+08 1.1665837075459228e+08 +6.4246748916305068e+00 4.5771621727209431e+08 4.5767333463918263e+08 4.5760141425430900e+08 4.5750921249181938e+08 4.5742150962835377e+08 4.5737554659820032e+08 4.5738733227421874e+08 4.5742910117559612e+08 4.5747333378701979e+08 4.5751513863564616e+08 4.5755847725716639e+08 4.5760435443391252e+08 4.5765272376185894e+08 4.5770411272997737e+08 4.5775944180520636e+08 4.5781956518129587e+08 4.5788558240427917e+08 4.5795898422056931e+08 4.5804155970261300e+08 4.5813532237650228e+08 4.5824258191235375e+08 4.5836587124483472e+08 4.5850756689290655e+08 4.5867146245616853e+08 4.5886782171378350e+08 4.5910346838661206e+08 4.5937903501435560e+08 4.5969788944239217e+08 4.6006558611331707e+08 4.6048828659943551e+08 4.6097233882629198e+08 4.6152396011290175e+08 4.6214881259766513e+08 4.6285140662264472e+08 4.6363429749501163e+08 4.6449692321244198e+08 4.6543414891371095e+08 4.6643436044469100e+08 4.6747719016908991e+08 4.6853072244408762e+08 4.6962126391977286e+08 4.7058986695924729e+08 4.7132890713715166e+08 4.7170158841575074e+08 4.7154339279565144e+08 4.7066876063701135e+08 4.6888461128939164e+08 4.6601115649566358e+08 4.6190886892064619e+08 4.5650367762086117e+08 4.4980663033560407e+08 4.4194007091811019e+08 4.3313270612505341e+08 4.2365475152141881e+08 4.1381040340082198e+08 4.0390768982390392e+08 3.9421001689043766e+08 3.8492798754552734e+08 3.7620422013800412e+08 3.6813873653987026e+08 3.6076688876818550e+08 3.5410846797785342e+08 3.4813823151936024e+08 3.4284339283724147e+08 3.3817841681247348e+08 3.3409818873909241e+08 3.3056908205898392e+08 3.2753785882344913e+08 3.2494990143945086e+08 3.2276912816881806e+08 3.2093780552758473e+08 3.1942380376964909e+08 3.1818232101960611e+08 3.1717996455781877e+08 3.1636460585547245e+08 3.1568233890983856e+08 3.1510017449858195e+08 3.1458248864534634e+08 3.1408770027020735e+08 3.1373552346787959e+08 3.1337926108637059e+08 3.1301546341223395e+08 3.1263431462139952e+08 3.1224108842940843e+08 3.1182386134989697e+08 3.1139988147608411e+08 3.1092665391598111e+08 3.1042021037145174e+08 3.0987123432008058e+08 3.0927245080785340e+08 3.0861501939897066e+08 3.0788898123570412e+08 3.0707938862493521e+08 3.0619117024460262e+08 3.0518610489597070e+08 3.0405926890303373e+08 3.0279431401893991e+08 3.0137364670497173e+08 2.9977912365873843e+08 2.9799254613342482e+08 2.9599317118344384e+08 2.9378688978346580e+08 2.9133062222105086e+08 2.8863471320903772e+08 2.8570539833896899e+08 2.8256565308175218e+08 2.7925456854157847e+08 2.7584655028704917e+08 2.7245175245803386e+08 2.6925444343501008e+08 2.6647852128580156e+08 2.6448284888666797e+08 2.6376431407702783e+08 2.6504697125526273e+08 2.6938258493324059e+08 2.7836509371237952e+08 2.9451734962690789e+08 3.2209589451756155e+08 1.1634898893780866e+08 +6.4296432144047646e+00 4.5776266169138199e+08 4.5771976441303676e+08 4.5764782633606237e+08 4.5755559093659127e+08 4.5746784217011815e+08 4.5742182404787636e+08 4.5743354789065230e+08 4.5747524491929585e+08 4.5751938906615788e+08 4.5756108378098619e+08 4.5760428687606925e+08 4.5764999892304772e+08 4.5769816830759120e+08 4.5774931637976760e+08 4.5780435666989875e+08 4.5786413518751401e+08 4.5792974158887696e+08 4.5800265479577404e+08 4.5808464993096685e+08 4.5817772414736128e+08 4.5828416791075271e+08 4.5840649143765491e+08 4.5854704121735966e+08 4.5870955972315681e+08 4.5890424664833844e+08 4.5913788950027245e+08 4.5941108836364669e+08 4.5972715770238876e+08 4.6009158389443731e+08 4.6051044923307765e+08 4.6099001075007254e+08 4.6153638218203336e+08 4.6215510835275024e+08 4.6285056775516200e+08 4.6362516894137412e+08 4.6447818858277321e+08 4.6540431734237170e+08 4.6639175647664225e+08 4.6741994893248922e+08 4.6845679321184164e+08 4.6952692465470248e+08 4.7047238739016449e+08 4.7118546744808584e+08 4.7152939782534593e+08 4.7133985468094820e+08 4.7043168295988339e+08 4.6861244959380168e+08 4.6570326127888864e+08 4.6156569303524679e+08 4.5612689444990319e+08 4.4939912191144091e+08 4.4150572124512941e+08 4.3267604997823757e+08 4.2318061771982181e+08 4.1332349671891451e+08 4.0341224271473897e+08 3.9370958890007812e+08 3.8442537916935956e+08 3.7570150959835190e+08 3.6763734511066729e+08 3.6026773776725143e+08 3.5361206594101638e+08 3.4764482348215967e+08 3.4235299614170378e+08 3.3769093354163408e+08 3.3361344596659631e+08 3.3008684090659440e+08 3.2705787874234027e+08 3.2447195452028894e+08 3.2229298091148740e+08 3.2046326891523308e+08 3.1895068480588305e+08 3.1771045299958068e+08 3.1670918494045836e+08 3.1589478471999454e+08 3.1521338995480287e+08 3.1463201763860685e+08 3.1411506573901963e+08 3.1362099913802552e+08 3.1326934256156510e+08 3.1291360853929549e+08 3.1255035130189365e+08 3.1216976906242394e+08 3.1177712747558039e+08 3.1136052212916762e+08 3.1093716833449435e+08 3.1046464429575330e+08 3.0995895362589985e+08 3.0941079364617342e+08 3.0881290021174985e+08 3.0815644602277410e+08 3.0743148701893014e+08 3.0662309913151145e+08 3.0573619669860792e+08 3.0473262511716706e+08 3.0360746382725036e+08 3.0234438887370092e+08 3.0092583285980296e+08 2.9933367944180661e+08 2.9754975691468883e+08 2.9555335451712400e+08 2.9335034772051847e+08 2.9089773026222110e+08 2.8820582743546891e+08 2.8528086556692791e+08 2.8214578598727655e+08 2.7883962171490818e+08 2.7543666775916904e+08 2.7204691583358163e+08 2.6885435431354713e+08 2.6608255724390036e+08 2.6408985053825232e+08 2.6337238492304048e+08 2.6465313650090334e+08 2.6898230753914058e+08 2.7795146882128459e+08 2.9407972551987499e+08 3.2161728607391542e+08 1.1604022408600911e+08 +6.4346115371790225e+00 4.5780630557660532e+08 4.5776339740506142e+08 4.5769143639640307e+08 4.5759916901591313e+08 4.5751137478480983e+08 4.5746530181909591e+08 4.5747696382818156e+08 4.5751858881771421e+08 4.5756264434577560e+08 4.5760422882513934e+08 4.5764729631609738e+08 4.5769284317945051e+08 4.5774081260584992e+08 4.5779171980667806e+08 4.5784647138282454e+08 4.5790590516448623e+08 4.5797110092622119e+08 4.5804352577387041e+08 4.5812494088986748e+08 4.5821732706503695e+08 4.5832295557562733e+08 4.5844431393955606e+08 4.5858371864556003e+08 4.5874486109503365e+08 4.5893787692933220e+08 4.5916951745664531e+08 4.5944035035929126e+08 4.5975363678687930e+08 4.6011479513349521e+08 4.6052982851042193e+08 4.6100490318044728e+08 4.6154602944836158e+08 4.6215863501551813e+08 4.6284696676557910e+08 4.6361328679527348e+08 4.6445671082719505e+08 4.6537175551853919e+08 4.6634643811842859e+08 4.6736001287722915e+08 4.6838019331620526e+08 4.6942994699116105e+08 4.7035230972109836e+08 4.7103947973604578e+08 4.7135472094828612e+08 4.7113390555097991e+08 4.7019228469931853e+08 4.6833807395205176e+08 4.6539327503496623e+08 4.6122056406753731e+08 4.5574830837957764e+08 4.4898996873128790e+08 4.4106988760768944e+08 4.3221806765406948e+08 4.2270530728832221e+08 4.1283555067536926e+08 4.0291587872603863e+08 3.9320835080287802e+08 3.8392205211265481e+08 3.7519815769031209e+08 3.6713537720590621e+08 3.5976806454442906e+08 3.5311518700015920e+08 3.4715097638687015e+08 3.4186219202288300e+08 3.3720306927156657e+08 3.3312834421826005e+08 3.2960425906985605e+08 3.2657757304005313e+08 3.2399369425149953e+08 3.2181653015319479e+08 3.1998843651616627e+08 3.1847727595364606e+08 3.1723829943942583e+08 3.1623812286190790e+08 3.1542468322726911e+08 3.1474416201921415e+08 3.1416358271092469e+08 3.1364736541440982e+08 3.1315402109670985e+08 3.1280288507335454e+08 3.1244767973018783e+08 3.1208496325135165e+08 3.1170494789766860e+08 3.1131289126131731e+08 3.1089690800621462e+08 3.1047418068527186e+08 3.1000236058323991e+08 3.0949742323282135e+08 3.0895007980664146e+08 3.0835307697575116e+08 3.0769760058458298e+08 3.0697372137862879e+08 3.0616653891882211e+08 3.0528095323653597e+08 3.0427887630676037e+08 3.0315539071167648e+08 3.0189419680198389e+08 3.0047775333865708e+08 2.9888797095270091e+08 2.9710670499720442e+08 2.9511327690590155e+08 2.9291354667722964e+08 2.9046458148690635e+08 2.8777668722004980e+08 2.8485608093349272e+08 2.8172566979791498e+08 2.7842442871061838e+08 2.7502654205630505e+08 2.7164183901867718e+08 2.6845402783826816e+08 2.6568635829339051e+08 2.6369661903937343e+08 2.6298022324379349e+08 2.6425906808895785e+08 2.6858179266705602e+08 2.7753759853514713e+08 2.9364184177029222e+08 3.2113839370329070e+08 1.1573207594122203e+08 +6.4395798599532803e+00 4.5784715564461046e+08 4.5780423117206430e+08 4.5773225310217345e+08 4.5763995368981409e+08 4.5755211474309868e+08 4.5750598715475607e+08 4.5751758734870100e+08 4.5755914013453770e+08 4.5760310689178532e+08 4.5764458103543901e+08 4.5768751284692532e+08 4.5773289447555792e+08 4.5778066393184870e+08 4.5783133028918737e+08 4.5788579322684348e+08 4.5794488239903915e+08 4.5800966770859361e+08 4.5808160445286882e+08 4.5816243988527644e+08 4.5825413844388431e+08 4.5835895223135096e+08 4.5847934608581328e+08 4.5861760652616888e+08 4.5877737393704534e+08 4.5896871994120562e+08 4.5919835966503274e+08 4.5946682843859088e+08 4.5977733416584194e+08 4.6013522733852851e+08 4.6054643198524976e+08 4.6101702372173285e+08 4.6155290957657474e+08 4.6215940032018983e+08 4.6284061146827811e+08 4.6359865896453947e+08 4.6443249795894164e+08 4.6533647157428658e+08 4.6629841363757330e+08 4.6729739042096937e+08 4.6830093134225094e+08 4.6933033970914268e+08 4.7022964294273496e+08 4.7089095321014029e+08 4.7117756721583509e+08 4.7092555505059451e+08 4.6995057569144255e+08 4.6806149435224926e+08 4.6508120784653288e+08 4.6087349212162149e+08 4.5536792944864202e+08 4.4857918067795497e+08 4.4063257964448446e+08 4.3175876847435153e+08 4.2222882917854166e+08 4.1234657381978041e+08 4.0241860600075847e+08 3.9270631034491980e+08 3.8341801375122058e+08 3.7469417145140547e+08 3.6663283956188357e+08 3.5926787557127631e+08 3.5261783739480466e+08 3.4665669627328771e+08 3.4137098634803301e+08 3.3671482972280294e+08 3.3264288908865184e+08 3.2912134203791815e+08 3.2609694711645997e+08 3.2351512595934588e+08 3.2133978115955555e+08 3.1951331354633355e+08 3.1800358239044905e+08 3.1676586548580861e+08 3.1576678344654679e+08 3.1495430648397273e+08 3.1427466019611615e+08 3.1369487479768324e+08 3.1317939274407053e+08 3.1268677121144366e+08 3.1233615606242085e+08 3.1198147971239889e+08 3.1161930430775154e+08 3.1123985616898471e+08 3.1084838482124007e+08 3.1043302400950211e+08 3.1001092355012643e+08 3.0953980779203629e+08 3.0903562419737530e+08 3.0848909779831785e+08 3.0789298608764184e+08 3.0723848806123388e+08 3.0651568927930671e+08 3.0570971293867701e+08 3.0482544479659712e+08 3.0382486338612783e+08 3.0270305445923913e+08 3.0144374268643039e+08 3.0002941300137144e+08 2.9844200302580512e+08 2.9666339518640405e+08 2.9467294312260181e+08 2.9247649139111060e+08 2.9003118059234262e+08 2.8734729721705562e+08 2.8443104904606903e+08 2.8130530906976765e+08 2.7800899403182888e+08 2.7461617762668574e+08 2.7123652640662920e+08 2.6805346835095140e+08 2.6528992873180699e+08 2.6330315865435067e+08 2.6258783329234511e+08 2.6386477029322466e+08 2.6818104466068253e+08 2.7712348734278572e+08 2.9320370312747979e+08 3.2065922259946907e+08 1.1542454423992217e+08 +6.4445481827275382e+00 4.5788521519325775e+08 4.5784228009181750e+08 4.5777028226219374e+08 4.5767795204816812e+08 4.5759006922321397e+08 4.5754388731892419e+08 4.5755542572871327e+08 4.5759690614914483e+08 4.5764078398476511e+08 4.5768214769375604e+08 4.5772494375325304e+08 4.5777016009791338e+08 4.5781772957539356e+08 4.5786815511997932e+08 4.5792232949806935e+08 4.5798107419231176e+08 4.5804544924267364e+08 4.5811689814527798e+08 4.5819715423608565e+08 4.5828816561175621e+08 4.5839216521597612e+08 4.5851159522616416e+08 4.5864871222302192e+08 4.5880710562864077e+08 4.5899678308384746e+08 4.5922442354830271e+08 4.5949053005211389e+08 4.5979825732325834e+08 4.6015288803115976e+08 4.6056026722304893e+08 4.6102637999191463e+08 4.6155703024413091e+08 4.6215741201453942e+08 4.6283150969119519e+08 4.6358129336815077e+08 4.6440555800158280e+08 4.6529847365192717e+08 4.6624769131079131e+08 4.6723208999090636e+08 4.6821901588121480e+08 4.6922811159429234e+08 4.7010439604831618e+08 4.7073989708183706e+08 4.7099794605886120e+08 4.7071481282183111e+08 4.6970656576690292e+08 4.6778272077424002e+08 4.6476706978625667e+08 4.6052448728869706e+08 4.5498576768070036e+08 4.4816676761640370e+08 4.4019380697531879e+08 4.3129816173928636e+08 4.2175119231834042e+08 4.1185657467946726e+08 4.0192043265707880e+08 3.9220347524913263e+08 3.8291327143783754e+08 3.7418955789753765e+08 3.6612973889308774e+08 3.5876717729676688e+08 3.5212002334445131e+08 3.4616198916062212e+08 3.4087938496499157e+08 3.3622622059580016e+08 3.3215708615361464e+08 3.2863809528040665e+08 3.2561600635291392e+08 3.2303625495090276e+08 3.2086273917712867e+08 3.1903790520429814e+08 3.1752960927502781e+08 3.1629315626759732e+08 3.1529517179971862e+08 3.1448365957765377e+08 3.1380488956033564e+08 3.1322589896256161e+08 3.1271115278318161e+08 3.1221925452869159e+08 3.1186916057052487e+08 3.1151501352159727e+08 3.1115337950057858e+08 3.1077449889924657e+08 3.1038361317275846e+08 3.0996887514914650e+08 3.0954740193221366e+08 3.0907699091832614e+08 3.0857356150786650e+08 3.0802785260005659e+08 3.0743263251653206e+08 3.0677911341123384e+08 3.0605739566860455e+08 3.0525262612547821e+08 3.0436967629789555e+08 3.0337059125926542e+08 3.0225045995577586e+08 3.0099303139212847e+08 2.9958081669049215e+08 2.9799578047813714e+08 2.9621983227021235e+08 2.9423235792326581e+08 2.9203918658270139e+08 2.8959753226038760e+08 2.8691766206448549e+08 2.8400577449547440e+08 2.8088470834370923e+08 2.7759332216522503e+08 2.7420557890266389e+08 2.7083098237549835e+08 2.6765268017815059e+08 2.6489327284055316e+08 2.6290947363369760e+08 2.6219521930727360e+08 2.6347024737246564e+08 2.6778006784853601e+08 2.7670913971681488e+08 2.9276531432368112e+08 3.2017977793790036e+08 1.1511762871306480e+08 +6.4495165055017960e+00 4.5792049305151570e+08 4.5787755005567998e+08 4.5780553043823862e+08 4.5771317147417647e+08 4.5762524537798738e+08 4.5757900959689134e+08 4.5759048625778520e+08 4.5763189415414119e+08 4.5767568291999418e+08 4.5771693609584838e+08 4.5775959633308762e+08 4.5780464734707516e+08 4.5785201683985561e+08 4.5790220160596395e+08 4.5795608750792599e+08 4.5801448785958672e+08 4.5807845284858286e+08 4.5814941417761618e+08 4.5822909127618200e+08 4.5831941591027796e+08 4.5842260188029397e+08 4.5854106872392309e+08 4.5867704311237514e+08 4.5883406356340218e+08 4.5902207377024835e+08 4.5924771654275298e+08 4.5951146266386056e+08 4.5981641375491548e+08 4.6016778474553567e+08 4.6057134180265439e+08 4.6103297962089896e+08 4.6155839914158154e+08 4.6215267785642183e+08 4.6281966927193242e+08 4.6356119793502867e+08 4.6437589898863459e+08 4.6525776990418983e+08 4.6619427942306459e+08 4.6716412002029997e+08 4.6813445553119200e+08 4.6912327143687207e+08 4.6997657803539723e+08 4.7058632056451398e+08 4.7081586690911061e+08 4.7050168850513440e+08 4.6946026475173938e+08 4.6750176319130683e+08 4.6445087091585135e+08 4.6017355964664268e+08 4.5460183308433044e+08 4.4775273939327824e+08 4.3975357919904983e+08 4.3083625672789085e+08 4.2127240561349279e+08 4.1136556175817043e+08 4.0142136679172051e+08 3.9169985321590877e+08 3.8240783250283194e+08 3.7368432402230144e+08 3.6562608189304328e+08 3.5826597615059000e+08 3.5162175104713482e+08 3.4566686104832947e+08 3.4038739370164537e+08 3.3573724757205051e+08 3.3167094096892017e+08 3.2815452424807727e+08 3.2513475611192310e+08 3.2255708651561886e+08 3.2038540943489856e+08 3.1856221666938180e+08 3.1705536174828887e+08 3.1582017689552128e+08 3.1482329300938529e+08 3.1401274757883286e+08 3.1333485516824400e+08 3.1275666025212514e+08 3.1224265056924462e+08 3.1175147607790518e+08 3.1140190362048960e+08 3.1104828617508680e+08 3.1068719384189123e+08 3.1030888109466618e+08 3.0991858131551737e+08 3.0950446641824627e+08 3.0908362081772047e+08 3.0861391494051546e+08 3.0811124013454068e+08 3.0756634917371249e+08 3.0697202121423644e+08 3.0631948157642579e+08 3.0559884547620291e+08 3.0479528339592844e+08 3.0391365264368349e+08 3.0291606481217200e+08 3.0179761206946266e+08 3.0054206776785737e+08 2.9913196923148441e+08 2.9754930810916656e+08 2.9577602102032197e+08 2.9379152604762524e+08 2.9160163695593369e+08 2.8916364115516227e+08 2.8648778638391030e+08 2.8358026185609287e+08 2.8046387214374727e+08 2.7717741758286798e+08 2.7379475030080736e+08 2.7042521128728539e+08 2.6725166763083053e+08 2.6449639488676813e+08 2.6251556821138498e+08 2.6180238551162341e+08 2.6307550357067037e+08 2.6737886654391968e+08 2.7629456011452097e+08 2.9232668007487983e+08 3.1970006487599784e+08 1.1481132908612035e+08 +6.4544848282760539e+00 4.5795299809108955e+08 4.5791004589624280e+08 4.5783800794563955e+08 4.5774561943507117e+08 4.5765765042093498e+08 4.5761136129641920e+08 4.5762277624026102e+08 4.5766411145627403e+08 4.5770781100569028e+08 4.5774895355182111e+08 4.5779147789812702e+08 4.5783636353768021e+08 4.5788353304217046e+08 4.5793347706778479e+08 4.5798707457992905e+08 4.5804513072944063e+08 4.5810868586008257e+08 4.5817915988979936e+08 4.5825825835269886e+08 4.5834789669537008e+08 4.5845026959034729e+08 4.5856777395570439e+08 4.5870260658502334e+08 4.5885825514785451e+08 4.5904459942644149e+08 4.5926824609809607e+08 4.5952963375096917e+08 4.5983181097038227e+08 4.6017992502929085e+08 4.6057966331449825e+08 4.6103683025036728e+08 4.6155702396944630e+08 4.6214520561655533e+08 4.6280509805970162e+08 4.6353838060557032e+08 4.6434352896446365e+08 4.6521436849226516e+08 4.6613818626839358e+08 4.6709348895101541e+08 4.6804725889699012e+08 4.6901582803312016e+08 4.6984619790532672e+08 4.7043023287393141e+08 4.7063133919823384e+08 4.7028619173784846e+08 4.6921168246729410e+08 4.6721863156763381e+08 4.6413262128705603e+08 4.5982071926020038e+08 4.5421613565001452e+08 4.4733710583719105e+08 4.3931190589489210e+08 4.3037306269669044e+08 4.2079247794792539e+08 4.1087354353746235e+08 4.0092141647756559e+08 3.9119545192340571e+08 3.8190170425405961e+08 3.7317847679706150e+08 3.6512187523287827e+08 3.5776427853958803e+08 3.5112302668094075e+08 3.4517131791494030e+08 3.3989501836558473e+08 3.3524791631293380e+08 3.3118445907254535e+08 3.2767063437281948e+08 3.2465320173674011e+08 3.2207762592352712e+08 3.1990779714248371e+08 3.1808625310325372e+08 3.1658084493328041e+08 3.1534693246193206e+08 3.1435115214449662e+08 3.1354157553965533e+08 3.1286456205892718e+08 3.1228716369424814e+08 3.1177389112120324e+08 3.1128344087029517e+08 3.1093439021826661e+08 3.1058130267298806e+08 3.1022075232562578e+08 3.0984300774286747e+08 3.0945329423085195e+08 3.0903980279185456e+08 3.0861958517472804e+08 3.0815058481951797e+08 3.0764866502983826e+08 3.0710459246300006e+08 3.0651115711513460e+08 3.0585959748033142e+08 3.0514004361414307e+08 3.0433768964932281e+08 3.0345737871886241e+08 3.0246128891427553e+08 3.0134451565159947e+08 3.0009085664378840e+08 2.9868287543258429e+08 2.9710259070217568e+08 2.9533196619081050e+08 2.9335045221796787e+08 2.9116384719811195e+08 2.8872951192480350e+08 2.8605767478009576e+08 2.8315451568635869e+08 2.8004280497811383e+08 2.7676128473934901e+08 2.7338369622234815e+08 2.7001921748911458e+08 2.6685043500500152e+08 2.6409929912165695e+08 2.6212144660766187e+08 2.6140933611378121e+08 2.6268054311656606e+08 2.6697744504476708e+08 2.7587975297695959e+08 2.9188780507983601e+08 3.1922008855229789e+08 1.1450564507910869e+08 +6.4594531510503117e+00 4.5798273995635372e+08 4.5793977786990672e+08 4.5786772043205774e+08 4.5777530338895726e+08 4.5768729168286246e+08 4.5764094974554443e+08 4.5765230299349928e+08 4.5769356537628710e+08 4.5773717556473041e+08 4.5777820738475353e+08 4.5782059577465528e+08 4.5786531599798638e+08 4.5791228551324993e+08 4.5796198884024060e+08 4.5801529805268186e+08 4.5807301014470285e+08 4.5813615562521785e+08 4.5820614263577604e+08 4.5828466282654560e+08 4.5837361533564472e+08 4.5847517572492653e+08 4.5859171831160599e+08 4.5872541004496264e+08 4.5887968780138564e+08 4.5906436749132591e+08 4.5928601967647034e+08 4.5954505080361003e+08 4.5984445649189287e+08 4.6018931644167757e+08 4.6058523936281896e+08 4.6103793953573257e+08 4.6155291244194996e+08 4.6213500307724160e+08 4.6278780391593295e+08 4.6351284933061296e+08 4.6430845598220128e+08 4.6516827758658689e+08 4.6607942014881766e+08 4.6702020523207879e+08 4.6795743458967179e+08 4.6890579018411529e+08 4.6971326466165251e+08 4.7027164322647274e+08 4.7044437235567343e+08 4.7006833215496922e+08 4.6896082872915310e+08 4.6693333586106265e+08 4.6381233094087851e+08 4.5946597618010467e+08 4.5382868535433137e+08 4.4691987675801629e+08 4.3886879662179232e+08 4.2990858888286513e+08 4.2031141818282473e+08 4.1038052847548217e+08 4.0042058976374751e+08 3.9069027902571851e+08 3.8139489397710669e+08 3.7267202317131376e+08 3.6461712556281948e+08 3.5726209085046422e+08 3.5062385640290403e+08 3.4467536571924895e+08 3.3940226474525386e+08 3.3475823246081239e+08 3.3069764598183000e+08 3.2718643106782335e+08 3.2417134855246890e+08 3.2159787842601252e+08 3.1942990749185956e+08 3.1761001964876890e+08 3.1610606393413883e+08 3.1487342804109490e+08 3.1387875425678313e+08 3.1307014849395567e+08 3.1239401525287867e+08 3.1181741429933661e+08 3.1130487944086719e+08 3.1081515389905107e+08 3.1046662535121256e+08 3.1011406799732471e+08 3.0975405992801881e+08 3.0937688381451398e+08 3.0898775688289386e+08 3.0857488922750998e+08 3.0815529995414358e+08 3.0768700549797136e+08 3.0718584112866080e+08 3.0664258739404917e+08 3.0605004513612199e+08 3.0539946602955520e+08 3.0468099497728556e+08 3.0387984976765776e+08 3.0300085939115155e+08 3.0200626841716766e+08 3.0089117553591275e+08 2.9963940283438623e+08 2.9823354008507413e+08 2.9665563302275360e+08 2.9488767251934171e+08 2.9290914113972169e+08 2.9072582197968888e+08 2.8829514920089978e+08 2.8562733184177071e+08 2.8272854052820122e+08 2.7962151133902365e+08 2.7634492807488960e+08 2.7297242105254883e+08 2.6961300531242120e+08 2.6644898658123758e+08 2.6370198978159186e+08 2.6172711302702329e+08 2.6101607530666566e+08 2.6228537022386631e+08 2.6657580763362700e+08 2.7546472272963971e+08 2.9144869402086270e+08 3.1873985408752155e+08 1.1420057640663260e+08 +6.4644214738245696e+00 4.5800972413881028e+08 4.5796675025055093e+08 4.5789467576454860e+08 4.5780223055109590e+08 4.5771417661149472e+08 4.5766778228795367e+08 4.5767907384984648e+08 4.5772026324719763e+08 4.5776378393334526e+08 4.5780470493154275e+08 4.5784695730162191e+08 4.5789151206991851e+08 4.5793828159794128e+08 4.5798774427009928e+08 4.5804076527781588e+08 4.5809813346086478e+08 4.5816086950494915e+08 4.5823036978239179e+08 4.5830831207138747e+08 4.5839657921382010e+08 4.5849732767574990e+08 4.5861290919546551e+08 4.5874546090837550e+08 4.5889836895697606e+08 4.5908138541733927e+08 4.5930104475378740e+08 4.5955772132403952e+08 4.5985435785419136e+08 4.6019596655433899e+08 4.6058807756260777e+08 4.6103631514218152e+08 4.6154607228379834e+08 4.6212207802984542e+08 4.6276779471071547e+08 4.6348461207128596e+08 4.6427068810543954e+08 4.6511950536733788e+08 4.6601798937513906e+08 4.6694427731985635e+08 4.6786499122691154e+08 4.6879316669563776e+08 4.6957778731307638e+08 4.7011056084034425e+08 4.7025497581112570e+08 4.6984811938804406e+08 4.6870771334736031e+08 4.6664588601948667e+08 4.6349000990712398e+08 4.5910934044394153e+08 4.5343949215702939e+08 4.4650106194790304e+08 4.3842426091838366e+08 4.2944284449924344e+08 4.1982923515638429e+08 4.0988652500732362e+08 3.9991889467836314e+08 3.9018434215443283e+08 3.8088740893433082e+08 3.7216497007224089e+08 3.6411183951083416e+08 3.5675941944885570e+08 3.5012424634897822e+08 3.4417901039966804e+08 3.3890913860870290e+08 3.3426820163801569e+08 3.3021050719561493e+08 3.2670191972674930e+08 3.2368920186533815e+08 3.2111784925646865e+08 3.1895174565647858e+08 3.1713352143097478e+08 3.1563102383714485e+08 3.1439966868958104e+08 3.1340610437982708e+08 3.1259847145835972e+08 3.1192321975327498e+08 3.1134741705988085e+08 3.1083562051199698e+08 3.1034662013970709e+08 3.0999861398927391e+08 3.0964658711207771e+08 3.0928712160757196e+08 3.0891051426130515e+08 3.0852197421804082e+08 3.0810973066432357e+08 3.0769077008814049e+08 3.0722318190135413e+08 3.0672277334872663e+08 3.0618033887547010e+08 3.0558869017604482e+08 3.0493909211223644e+08 3.0422170444288772e+08 3.0342176861538190e+08 3.0254409951080018e+08 3.0155100815535367e+08 3.0043759653924173e+08 2.9918771113580126e+08 2.9778396796295106e+08 2.9620843981978828e+08 2.9444314472593260e+08 2.9246759750185484e+08 2.9028756595450801e+08 2.8786055759841710e+08 2.8519676214113462e+08 2.8230234090754634e+08 2.7919999570248765e+08 2.7592835201265955e+08 2.7256092916112119e+08 2.6920657907319432e+08 2.6604732662457663e+08 2.6330447108806825e+08 2.6133257165883118e+08 2.6062260726921839e+08 2.6188998909102818e+08 2.6617395857755804e+08 2.7504947378199661e+08 2.9100935156337267e+08 3.1825936658383852e+08 1.1389612277791275e+08 +6.4693897965988274e+00 4.5803395306396472e+08 4.5799097197867590e+08 4.5791888154047817e+08 4.5782640812513769e+08 4.5773831269377458e+08 4.5769186627790242e+08 4.5770309615366018e+08 4.5774421241631156e+08 4.5778764346100384e+08 4.5782845354258204e+08 4.5787056983146614e+08 4.5791495910799152e+08 4.5796152865357339e+08 4.5801075071929020e+08 4.5806348361967194e+08 4.5812050804760814e+08 4.5818283487346774e+08 4.5825184871013969e+08 4.5832921347494984e+08 4.5841679572529674e+08 4.5851673284822512e+08 4.5863135402359331e+08 4.5876276660535806e+08 4.5891430606085610e+08 4.5909566066914296e+08 4.5931332881739235e+08 4.5956765282834870e+08 4.5986152260447520e+08 4.6019988295236498e+08 4.6058818554161048e+08 4.6103196474832189e+08 4.6153651123081291e+08 4.6210643827945477e+08 4.6274507832602227e+08 4.6345367679757887e+08 4.6423023340679049e+08 4.6506806002176905e+08 4.6595390226534426e+08 4.6686571367760760e+08 4.6776993743106222e+08 4.6867796637734175e+08 4.6943977487005579e+08 4.6994699493566084e+08 4.7006315899457586e+08 4.6962556306605792e+08 4.6845234612693524e+08 4.6635629198373425e+08 4.6316566820490885e+08 4.5875082207587755e+08 4.5304856600142282e+08 4.4608067118036842e+08 4.3797830830353832e+08 4.2897583873930830e+08 4.1934593768472672e+08 4.0939154154522550e+08 3.9941633922448659e+08 3.8967764891880858e+08 3.8037925636637402e+08 3.7165732440507489e+08 3.6360602368356526e+08 3.5625627067825985e+08 3.4962420263554269e+08 3.4368225787462318e+08 3.3841564570442563e+08 3.3377782944777423e+08 3.2972304819334435e+08 3.2621710572498041e+08 3.2320676696280724e+08 3.2063754362982392e+08 3.1847331679076010e+08 3.1665676355635679e+08 3.1515572971066552e+08 3.1392565944532132e+08 3.1293320752897251e+08 3.1212654943043101e+08 3.1145218054470104e+08 3.1087717695015484e+08 3.1036611929940808e+08 3.0987784454984540e+08 3.0953036108461350e+08 3.0917886496365261e+08 3.0881994230486882e+08 3.0844390401855928e+08 3.0805595116430682e+08 3.0764433202439809e+08 3.0722600049229079e+08 3.0675911893703896e+08 3.0625946658909476e+08 3.0571785179842269e+08 3.0512709711665380e+08 3.0447848060011083e+08 3.0376217687079304e+08 3.0296345103944755e+08 3.0208710391066986e+08 3.0109551294582897e+08 2.9998378346029466e+08 2.9873578632747036e+08 2.9733416382271683e+08 2.9576101582459486e+08 2.9399838751450938e+08 2.9202582597654456e+08 2.8984908375969863e+08 2.8742574171540314e+08 2.8476597023388445e+08 2.8187592133398038e+08 2.7877826252840912e+08 2.7551156096022540e+08 2.7214922490182060e+08 2.6879994307182539e+08 2.6564545938471165e+08 2.6290674724691603e+08 2.6093782667820716e+08 2.6022893616413310e+08 2.6149440390164062e+08 2.6577190212887156e+08 2.7463401052782679e+08 2.9056978235593915e+08 3.1777863112534231e+08 1.1359228389682074e+08 +6.4743581193730853e+00 4.5805544337941033e+08 4.5801245195026731e+08 4.5794034409429741e+08 4.5784784337300277e+08 4.5775970735607946e+08 4.5771320907697678e+08 4.5772437726442552e+08 4.5776542024397612e+08 4.5780876150945723e+08 4.5784946058103281e+08 4.5789144072953552e+08 4.5793566448078179e+08 4.5798203405075586e+08 4.5803101556133890e+08 4.5808346045637971e+08 4.5814014128670144e+08 4.5820205911850572e+08 4.5827058681199205e+08 4.5834737443737847e+08 4.5843427227843899e+08 4.5853339866026747e+08 4.5864706022515988e+08 4.5877733457873964e+08 4.5892750657064617e+08 4.5910720072492766e+08 4.5932287936854410e+08 4.5957485284292573e+08 4.5986595830114979e+08 4.6020107323125827e+08 4.6058557093922448e+08 4.6102489604310596e+08 4.6152423703141868e+08 4.6208809164019239e+08 4.6271966265413302e+08 4.6342005149155176e+08 4.6418709996877003e+08 4.6501394974769509e+08 4.6588716714568287e+08 4.6678452277565420e+08 4.6767228183131886e+08 4.6856019804451084e+08 4.6929923634606725e+08 4.6978095473258150e+08 4.6986893133354801e+08 4.6940067281439137e+08 4.6819473686615169e+08 4.6606456368623734e+08 4.6283931584178060e+08 4.5839043108555007e+08 4.5265591681429780e+08 4.4565871421002269e+08 4.3753094827453530e+08 4.2850758077269626e+08 4.1886153456109923e+08 4.0889558647885424e+08 3.9891293138277465e+08 3.8917020690442592e+08 3.7987044349013025e+08 3.7114909305309284e+08 3.6309968466611218e+08 3.5575265086218250e+08 3.4912373135729033e+08 3.4318511404171908e+08 3.3792179176076621e+08 3.3328712147381306e+08 3.2923527443530446e+08 3.2573199441801369e+08 3.2272404911337888e+08 3.2015696674145401e+08 3.1799462603157830e+08 3.1617975111303532e+08 3.1468018660442781e+08 3.1345140532883012e+08 3.1246006870152068e+08 3.1165438739073128e+08 3.1098090259448111e+08 3.1040669892680937e+08 3.0989638075177962e+08 3.0940883206933123e+08 3.0906187157120478e+08 3.0871090648087806e+08 3.0835252694275415e+08 3.0797705800264192e+08 3.0758969263251871e+08 3.0717869821163327e+08 3.0676099606406242e+08 3.0629482149557424e+08 3.0579592573243713e+08 3.0525513103625453e+08 3.0466527082191193e+08 3.0401763634656626e+08 3.0330241710317892e+08 3.0250490186944956e+08 3.0162987740614676e+08 3.0063978758832014e+08 2.9952974108151966e+08 2.9828363317110002e+08 2.9688413240462846e+08 2.9531336575247371e+08 2.9355340557154471e+08 2.9158383121855235e+08 2.8941038001557750e+08 2.8699070613386774e+08 2.8433496065950871e+08 2.8144928630066711e+08 2.7835631626113677e+08 2.7509455931008685e+08 2.7173731261306494e+08 2.6839310159285223e+08 2.6524338909647340e+08 2.6250882244918552e+08 2.6054288224424812e+08 2.5983506613966703e+08 2.6109861882398137e+08 2.6536964252382588e+08 2.7421833734490371e+08 2.9012999103059191e+08 3.1729765277723646e+08 1.1328905946191353e+08 +6.4793264421473431e+00 4.5807419577130497e+08 4.5803119317698437e+08 4.5795907072816753e+08 4.5786654342190623e+08 4.5777836792958766e+08 4.5773181805035824e+08 4.5774292455360961e+08 4.5778389410277158e+08 4.5782714545435268e+08 4.5786773342286068e+08 4.5790957737435335e+08 4.5795363556917053e+08 4.5799980517368275e+08 4.5804854618400699e+08 4.5810070317854822e+08 4.5815704057346797e+08 4.5821854963973409e+08 4.5828659149442977e+08 4.5836280237117821e+08 4.5844901629408336e+08 4.5854733254228383e+08 4.5866003524197704e+08 4.5878917228314972e+08 4.5893797795782793e+08 4.5911601307424760e+08 4.5932970391996813e+08 4.5957932890812218e+08 4.5986767251594305e+08 4.6019954499924767e+08 4.6058024140564007e+08 4.6101511672723341e+08 4.6150925744287461e+08 4.6206704593745184e+08 4.6269155559678411e+08 4.6338374414259040e+08 4.6414129588227165e+08 4.6495718275000376e+08 4.6581779235002667e+08 4.6670071309070879e+08 4.6757203306225979e+08 4.6843987051596659e+08 4.6915618075732934e+08 4.6961244945238829e+08 4.6967230225509620e+08 4.6917345825414538e+08 4.6793489535833508e+08 4.6577071105007499e+08 4.6251096281419742e+08 4.5802817746897203e+08 4.5226155450680882e+08 4.4523520077303433e+08 4.3708219030915451e+08 4.2803807974932063e+08 4.1837603455644339e+08 4.0839866817361706e+08 3.9840867911101294e+08 3.8866202367418981e+08 3.7936097750134331e+08 3.7064028287682694e+08 3.6259282902215898e+08 3.5524856630273175e+08 3.4862283858898586e+08 3.4268758477892506e+08 3.3742758248668647e+08 3.3279608327995867e+08 3.2874719136237192e+08 3.2524659114331031e+08 3.2224105356685489e+08 3.1967612376937824e+08 3.1751567849667948e+08 3.1570248917096704e+08 3.1420439955025530e+08 3.1297691134169668e+08 3.1198669287686092e+08 3.1118199030129361e+08 3.1050939085128254e+08 3.0993598792854899e+08 3.0942640979868186e+08 3.0893958762006712e+08 3.0859315036551309e+08 3.0824271657432669e+08 3.0788488042628139e+08 3.0750998111305732e+08 3.0712320351548648e+08 3.0671283411298364e+08 3.0629576168296498e+08 3.0583029444874394e+08 3.0533215564268160e+08 3.0479218144470900e+08 3.0420321613821328e+08 3.0355656418775761e+08 3.0284242996449673e+08 3.0204612591742247e+08 3.0117242479573309e+08 3.0018383686503792e+08 2.9907547416758543e+08 2.9783125641212189e+08 2.9643387843116415e+08 2.9486549430055928e+08 2.9310820356674463e+08 2.9114161786663806e+08 2.8897145932591534e+08 2.8655545541915548e+08 2.8390373794096249e+08 2.8102244028478265e+08 2.7793416132818758e+08 2.7467735143789208e+08 2.7132519661757600e+08 2.6798605890622982e+08 2.6484111997907013e+08 2.6211070087076014e+08 2.6014774250165582e+08 2.5944100132941583e+08 2.6070263801196885e+08 2.6496718398423111e+08 2.7380245859538329e+08 2.8968998220256311e+08 3.1681643658712596e+08 1.1298644916646653e+08 +6.4842947649216010e+00 4.5809021889354390e+08 4.5804720753317165e+08 4.5797506946508938e+08 4.5788251552570319e+08 4.5779430170206809e+08 4.5774770056803918e+08 4.5775874540600514e+08 4.5779964137811625e+08 4.5784280268345046e+08 4.5788327945737827e+08 4.5792498715693820e+08 4.5796887976648766e+08 4.5801484941837621e+08 4.5806334998658270e+08 4.5811521918988967e+08 4.5817121331575489e+08 4.5823231384961295e+08 4.5829987017560977e+08 4.5837550470209962e+08 4.5846103520602417e+08 4.5855854193758202e+08 4.5867028652825862e+08 4.5879828718654728e+08 4.5894572770490038e+08 4.5912210521914202e+08 4.5933380999583256e+08 4.5958108857550508e+08 4.5986667283178473e+08 4.6019530587578529e+08 4.6057220460333353e+08 4.6100263451255971e+08 4.6149158023515439e+08 4.6204330900698131e+08 4.6266076506657517e+08 4.6334476275120598e+08 4.6409282924751472e+08 4.6489776724228626e+08 4.6574578621884346e+08 4.6661429310556471e+08 4.6746919976389521e+08 4.6831699261478388e+08 4.6901061712242895e+08 4.6944148831707698e+08 4.6947328118440223e+08 4.6894392900456005e+08 4.6767283139029950e+08 4.6547474399034959e+08 4.6218061910749125e+08 4.5766407120829159e+08 4.5186548897271490e+08 4.4481014058652800e+08 4.3663204386491191e+08 4.2756734479566365e+08 4.1788944641858399e+08 4.0790079497286844e+08 3.9790359034257281e+08 3.8815310676775396e+08 3.7885086557183361e+08 3.7013090071516186e+08 3.6208546329276311e+08 3.5474402328019869e+08 3.4812153038403785e+08 3.4218967594367677e+08 3.3693302357081103e+08 3.3230472041127121e+08 3.2825880439663428e+08 3.2476090121879494e+08 3.2175778555460405e+08 3.1919501987212259e+08 3.1703647928608382e+08 3.1522498278201044e+08 3.1372837356217623e+08 3.1250218246807283e+08 3.1151308501613295e+08 3.1070936310638404e+08 3.1003765024660683e+08 3.0946504887603444e+08 3.0895621135222113e+08 3.0847011610609436e+08 3.0812420236611611e+08 3.0777430013697791e+08 3.0741700764278990e+08 3.0704267823060524e+08 3.0665648868869418e+08 3.0624674459664774e+08 3.0583030221112305e+08 3.0536554265170622e+08 3.0486816116664070e+08 3.0432900786197710e+08 3.0374093789433914e+08 3.0309526894247341e+08 3.0238222026248372e+08 3.0158712797818124e+08 3.0071475085996228e+08 2.9972766554115760e+08 2.9862098746567476e+08 2.9737866077790415e+08 2.9598340660767084e+08 2.9441740614989132e+08 2.9266278615289187e+08 2.9069919054202449e+08 2.8853232627781004e+08 2.8611999411966014e+08 2.8347230658501202e+08 2.8059538774726486e+08 2.7751180214153904e+08 2.7425994170391673e+08 2.7091288122221273e+08 2.6757881926557618e+08 2.6443865623686039e+08 2.6171238667216921e+08 2.5975241157999495e+08 2.5904674585168004e+08 2.6030646560313579e+08 2.6456453071557415e+08 2.7338637862569684e+08 2.8924976047034693e+08 3.1633498758402210e+08 1.1268445269850747e+08 +6.4892630876958588e+00 4.5810351948706710e+08 4.5806049954057240e+08 4.5798834573175365e+08 4.5789576754177493e+08 4.5780751598859841e+08 4.5776086400920147e+08 4.5777184721698827e+08 4.5781266946894109e+08 4.5785574059676987e+08 4.5789610608601356e+08 4.5793767748060960e+08 4.5798140447944194e+08 4.5802717419377482e+08 4.5807543438107389e+08 4.5812701590551364e+08 4.5818266693317908e+08 4.5824335917396563e+08 4.5831043028629607e+08 4.5838548886838931e+08 4.5847033646010327e+08 4.5856703430151492e+08 4.5867782155086380e+08 4.5880468676770651e+08 4.5895076330757058e+08 4.5912548467387313e+08 4.5933520513317871e+08 4.5958013940824753e+08 4.5986296684287584e+08 4.6018836349131238e+08 4.6056146820612669e+08 4.6098745712099886e+08 4.6147121318772179e+08 4.6201688869452780e+08 4.6262729898530340e+08 4.6330311532664400e+08 4.6404170817316288e+08 4.6483571144608235e+08 4.6567115710127312e+08 4.6652527131065488e+08 4.6736379058105791e+08 4.6819157316767567e+08 4.6886255446236312e+08 4.6926808054959178e+08 4.6927187754572934e+08 4.6871209468037325e+08 4.6740855474250227e+08 4.6517667241255623e+08 4.6184829469487405e+08 4.5729812227120721e+08 4.5146773008917058e+08 4.4438354334919715e+08 4.3618051837780410e+08 4.2709538501718658e+08 4.1740177887270427e+08 4.0740197519649667e+08 3.9739767298968464e+08 3.8764346370234162e+08 3.7834011485189122e+08 3.6962095338495040e+08 3.6157759399864453e+08 3.5423902805467898e+08 3.4761981277584225e+08 3.4169139337327385e+08 3.3643812068209726e+08 3.3181303839243227e+08 3.2777011894051802e+08 3.2427492994386023e+08 3.2127425028921688e+08 3.1871366019025880e+08 3.1655703348077381e+08 3.1474723697923243e+08 3.1325211363480592e+08 3.1202722367358160e+08 3.1103925006293911e+08 3.1023651073205054e+08 3.0956568569325948e+08 3.0899388667208052e+08 3.0848579030652422e+08 3.0800042241404092e+08 3.0765503245383292e+08 3.0730566204406065e+08 3.0694891346158701e+08 3.0657515421937674e+08 3.0618955300954306e+08 3.0578043451398534e+08 3.0536462249280524e+08 3.0490057094075507e+08 3.0440394713364518e+08 3.0386561510859215e+08 3.0327844090182722e+08 3.0263375541147089e+08 3.0192179278652453e+08 3.0112791282840878e+08 3.0025686036195159e+08 2.9927127836436474e+08 2.9816628570624554e+08 2.9692585097896117e+08 2.9553272162277168e+08 2.9396910596375519e+08 2.9221715796541995e+08 2.9025655384983444e+08 2.8809298544158781e+08 2.8568432676757693e+08 2.8304067108166754e+08 2.8016813313274062e+08 2.7708924309698439e+08 2.7384233445250899e+08 2.7050037071837330e+08 2.6717138690964720e+08 2.6403600205813622e+08 2.6131388399892417e+08 2.5935689359358123e+08 2.5865230380981633e+08 2.5991010572145754e+08 2.6416168690891153e+08 2.7297010176609474e+08 2.8880933041572756e+08 3.1585331077872694e+08 1.1238306974085008e+08 +6.4942314104701166e+00 4.5811410664965093e+08 4.5807107885828948e+08 4.5799891003000176e+08 4.5790630739140123e+08 4.5781801816589242e+08 4.5777131576532972e+08 4.5778223739536387e+08 4.5782298578544885e+08 4.5786596660656548e+08 4.5790622072259736e+08 4.5794765576125020e+08 4.5799121712622511e+08 4.5803678692107236e+08 4.5808480679209268e+08 4.5813610075397819e+08 4.5819140885846722e+08 4.5825169304966575e+08 4.5831827927028823e+08 4.5839276231942546e+08 4.5847692751441854e+08 4.5857281710168022e+08 4.5868264778780460e+08 4.5880837851900995e+08 4.5895309227260721e+08 4.5912615896389920e+08 4.5933389688030857e+08 4.5957648898112190e+08 4.5985656215537685e+08 4.6017872548821372e+08 4.6054803989697939e+08 4.6096959228652620e+08 4.6144816409080094e+08 4.6198779285595357e+08 4.6259116528459913e+08 4.6325880988724524e+08 4.6398794077607864e+08 4.6477102359100217e+08 4.6559391335224897e+08 4.6643365620107365e+08 4.6725581416377521e+08 4.6806362100453287e+08 4.6871200180029458e+08 4.6909223537220681e+08 4.6906810076118064e+08 4.6847796489112890e+08 4.6714207518882096e+08 4.6487650621395922e+08 4.6151399953840083e+08 4.5693034061111736e+08 4.5106828771707648e+08 4.4395541874070346e+08 4.3572762326341748e+08 4.2662220949667823e+08 4.1691304062137866e+08 4.0690221714073551e+08 3.9689093493929255e+08 3.8713310197196978e+08 3.7782873246823806e+08 3.6911044768006194e+08 3.6106922763813186e+08 3.5373358686444962e+08 3.4711769177655154e+08 3.4119274288477188e+08 3.3594287947011769e+08 3.3132104272909826e+08 3.2728114037783295e+08 3.2378868259860092e+08 3.2079045296430057e+08 3.1823204984578222e+08 3.1607734614349902e+08 3.1426925677838212e+08 3.1277562474593848e+08 3.1155203990609056e+08 3.1056519294243145e+08 3.0976343808668000e+08 3.0909350208685654e+08 3.0852250620175368e+08 3.0801515153793794e+08 3.0753051141209096e+08 3.0718564549162751e+08 3.0683680715305996e+08 3.0648060273498321e+08 3.0610741392511332e+08 3.0572240131779605e+08 3.0531390869836521e+08 3.0489872735507262e+08 3.0443538413606977e+08 3.0393951835511911e+08 3.0340200798783427e+08 3.0281572995400655e+08 3.0217202837839478e+08 3.0146115230926055e+08 3.0066848522833532e+08 2.9979875804792786e+08 2.9881468006505227e+08 2.9771137360201621e+08 2.9647283170896661e+08 2.9508182814768344e+08 2.9352059838897049e+08 2.9177132362367463e+08 2.8981371237777680e+08 2.8765344137098759e+08 2.8524845787884778e+08 2.8260883590509832e+08 2.7974068086964136e+08 2.7666648857459110e+08 2.7342453401197338e+08 2.7008766938160086e+08 2.6676376606148085e+08 2.6363316161632523e+08 2.6091519698172072e+08 2.5896119264220154e+08 2.5825767929189661e+08 2.5951356247497404e+08 2.6375865673989928e+08 2.7255363233138400e+08 2.8836869660377002e+08 3.1537141116349518e+08 1.1208229997112663e+08 +6.4991997332443745e+00 4.5812198881803983e+08 4.5807895278573149e+08 4.5800676988237792e+08 4.5791414269510126e+08 4.5782581567807138e+08 4.5777906324743146e+08 4.5778992336109459e+08 4.5783059775065321e+08 4.5787348813760430e+08 4.5791363079329735e+08 4.5795492942679363e+08 4.5799832513771981e+08 4.5804369503337318e+08 4.5809147465617239e+08 4.5814248117540109e+08 4.5819744653605354e+08 4.5825732292601162e+08 4.5832342458255082e+08 4.5839733251763618e+08 4.5848081583876908e+08 4.5857589781688905e+08 4.5868477272969800e+08 4.5880936994301754e+08 4.5895272211918521e+08 4.5912413562707222e+08 4.5932989279714483e+08 4.5957014488024157e+08 4.5984746638611424e+08 4.6016639951916826e+08 4.6053192737187994e+08 4.6094904775231320e+08 4.6142244074463969e+08 4.6195602935677838e+08 4.6255237190530378e+08 4.6321185445999753e+08 4.6393153518240684e+08 4.6470371191343379e+08 4.6551406333399075e+08 4.6633945627835649e+08 4.6714527916693336e+08 4.6793314496018690e+08 4.6855896816086227e+08 4.6891396200845921e+08 4.6886196025097781e+08 4.6824154924391979e+08 4.6687340249730122e+08 4.6457425528203124e+08 4.6117774358810532e+08 4.5656073616702127e+08 4.5066717170004958e+08 4.4352577642186701e+08 4.3527336791681135e+08 4.2614782729570222e+08 4.1642324034398782e+08 4.0640152907992297e+08 3.9638338405690295e+08 3.8662202904719001e+08 3.7731672552541125e+08 3.6859939037338382e+08 3.6056037068782085e+08 3.5322770592696142e+08 3.4661517337796241e+08 3.4069373027489418e+08 3.3544730556398708e+08 3.3082873890748191e+08 3.2679187407236135e+08 3.2330216444437748e+08 3.2030639875491971e+08 3.1775019394164616e+08 3.1559742231915218e+08 3.1379104717620307e+08 3.1229891185449350e+08 3.1107663609534645e+08 3.1009091856209034e+08 3.0929015006091863e+08 3.0862110430471110e+08 3.0805091233221692e+08 3.0754429990537912e+08 3.0706038795094812e+08 3.0671604632445461e+08 3.0636774030350345e+08 3.0601208029644936e+08 3.0563946217597657e+08 3.0525503843563253e+08 3.0484717196512973e+08 3.0443262160655719e+08 3.0396998703893608e+08 3.0347487962485051e+08 3.0293819128483409e+08 3.0235280982742089e+08 3.0171009260953003e+08 3.0100030358504218e+08 3.0020884992043644e+08 2.9934044864643663e+08 2.9835787535655332e+08 2.9725625584892184e+08 2.9601960764373428e+08 2.9463073083670092e+08 2.9307188805513245e+08 2.9132528772984558e+08 2.8937067069724995e+08 2.8721369860296941e+08 2.8481239195235330e+08 2.8217680551234174e+08 2.7931303537037373e+08 2.7624354293765932e+08 2.7300654469501293e+08 2.6967478147201967e+08 2.6635596092846766e+08 2.6323013906999621e+08 2.6051632973552403e+08 2.5856531281020510e+08 2.5786287637156299e+08 2.5911683995693430e+08 2.6335544436833313e+08 2.7213697462049085e+08 2.8792786358302855e+08 3.1488929371256393e+08 1.1178214306182221e+08 +6.5041680560186323e+00 4.5812716860426795e+08 4.5808412744220102e+08 4.5801193039992779e+08 4.5791928005719966e+08 4.5783091602376902e+08 4.5778411389006555e+08 4.5779491254521364e+08 4.5783551279963392e+08 4.5787831262526995e+08 4.5791834373589337e+08 4.5795950591739053e+08 4.5800273595633394e+08 4.5804790597618103e+08 4.5809544542174864e+08 4.5814616462161100e+08 4.5820078742207623e+08 4.5826025626494652e+08 4.5832587369039124e+08 4.5839920693645477e+08 4.5848200891492206e+08 4.5857628393857467e+08 4.5868420387837583e+08 4.5880766855550283e+08 4.5894966037719488e+08 4.5911942221216917e+08 4.5932320045450127e+08 4.5956111470314950e+08 4.5983568716279012e+08 4.6015139324842834e+08 4.6051313833579326e+08 4.6092583127304018e+08 4.6139405095937151e+08 4.6192160607237303e+08 4.6251092679756838e+08 4.6316225708087599e+08 4.6387249952563143e+08 4.6463378465800577e+08 4.6543161541503245e+08 4.6624268005005813e+08 4.6703219424999559e+08 4.6780015387137961e+08 4.6840346257124501e+08 4.6873326968118030e+08 4.6865346543358999e+08 4.6800285734067619e+08 4.6660254642848629e+08 4.6426992949575061e+08 4.6083953678185260e+08 4.5618931886328727e+08 4.5026439186488312e+08 4.4309462603375101e+08 4.3481776171216768e+08 4.2567224745287013e+08 4.1593238669757748e+08 4.0589991926307070e+08 3.9587502818293160e+08 3.8611025237610030e+08 3.7680410110554057e+08 3.6808778821511573e+08 3.6005102960314929e+08 3.5272139143834394e+08 3.4611226355149668e+08 3.4019436132024485e+08 3.3495140457302511e+08 3.3033613239432746e+08 3.2630232536940086e+08 3.2281538072377205e+08 3.1982209281722170e+08 3.1726809756328642e+08 3.1511726703385872e+08 3.1331261315086353e+08 3.1182197990185297e+08 3.1060101715301883e+08 3.0961643181086284e+08 3.0881665152690327e+08 3.0814849720598966e+08 3.0757910991273201e+08 3.0707324024914300e+08 3.0659005686322951e+08 3.0624623977992290e+08 3.0589846631744766e+08 3.0554335096270168e+08 3.0517130378235787e+08 3.0478746916686183e+08 3.0438022911266166e+08 3.0396631003873932e+08 3.0350438443351758e+08 3.0301003571933776e+08 3.0247416976784945e+08 3.0188968528085470e+08 3.0124795285323882e+08 3.0053925135189098e+08 2.9974901162950277e+08 2.9888193686879849e+08 2.9790086893415177e+08 2.9680093712516391e+08 2.9556618344240433e+08 2.9417943432695383e+08 2.9262297957469809e+08 2.9087905486845869e+08 2.8892743336229414e+08 2.8677376165813440e+08 2.8437613347079635e+08 2.8174458434495527e+08 2.7888520103086656e+08 2.7582041053435701e+08 2.7258837079862350e+08 2.6926171123379344e+08 2.6594797570300069e+08 2.6282693856175536e+08 2.6011728636062220e+08 2.5816925816709062e+08 2.5746789910747522e+08 2.5871994224569455e+08 2.6295205393941727e+08 2.7172013291663188e+08 2.8748683588495874e+08 3.1440696338211364e+08 1.1148259868030688e+08 +6.5091363787928902e+00 4.5812966100550425e+08 4.5808661111300999e+08 4.5801440058911616e+08 4.5792172654289293e+08 4.5783332671582037e+08 4.5778647515065652e+08 4.5779721239226031e+08 4.5783773837866277e+08 4.5788044751802099e+08 4.5792036700046885e+08 4.5796139268420810e+08 4.5800445703666830e+08 4.5804942720621616e+08 4.5809672654934269e+08 4.5814715855652797e+08 4.5820143898482120e+08 4.5826050053885978e+08 4.5832563407210881e+08 4.5839839306136030e+08 4.5848051423648131e+08 4.5857398296921569e+08 4.5868094874746412e+08 4.5880328188210970e+08 4.5894391458812815e+08 4.5911202627917993e+08 4.5931382743497276e+08 4.5954940605785924e+08 4.5982123212437302e+08 4.6013371435004371e+08 4.6049168050514472e+08 4.6089995061251700e+08 4.6136300255558801e+08 4.6188453088774365e+08 4.6246683792103803e+08 4.6311002579425681e+08 4.6381084194733381e+08 4.6456125007672077e+08 4.6534657797109365e+08 4.6614333602861518e+08 4.6691656807707077e+08 4.6766465657846540e+08 4.6824549405945545e+08 4.6855016761262602e+08 4.6844262572505599e+08 4.6776189877939296e+08 4.6632951673651254e+08 4.6396353872336924e+08 4.6049938904578471e+08 4.5581609860973126e+08 4.4985995802122742e+08 4.4266197719823462e+08 4.3436081400251228e+08 4.2519547898529661e+08 4.1544048831552273e+08 4.0539739591793483e+08 3.9536587513588184e+08 3.8559777938320035e+08 3.7629086626792991e+08 3.6757564793300939e+08 3.5954121081734002e+08 3.5221464957398081e+08 3.4560896824750131e+08 3.3969464177710479e+08 3.3445518208728719e+08 3.2984322863658637e+08 3.2581249959508520e+08 3.2232833665989977e+08 3.1933754028914058e+08 3.1678576577631378e+08 3.1463688529501557e+08 3.1283395966360331e+08 3.1134483381054211e+08 3.1012518797264612e+08 3.0914173756049562e+08 3.0834294733928382e+08 3.0767568563281494e+08 3.0710710377473247e+08 3.0660197739211267e+08 3.0611952296437103e+08 3.0577623066757846e+08 3.0542898999862015e+08 3.0507441953185326e+08 3.0470294353672171e+08 3.0431969829891330e+08 3.0391308492077112e+08 3.0349979742564029e+08 3.0303858108625728e+08 3.0254499139748877e+08 3.0200994818680739e+08 3.0142636105519056e+08 3.0078561384082890e+08 3.0007800032957399e+08 2.9928897506315178e+08 2.9842322740879583e+08 2.9744366547663957e+08 2.9634542209210312e+08 2.9511256374672478e+08 2.9372794323855209e+08 2.9217387754348904e+08 2.9043262960831279e+08 2.8848400491080719e+08 2.8633363503999668e+08 2.8393968690030599e+08 2.8131217682743984e+08 2.7845718223096466e+08 2.7539709569629675e+08 2.7217001660377228e+08 2.6884846289608645e+08 2.6553981456178162e+08 2.6242356421949306e+08 2.5971807094243193e+08 2.5777303276729590e+08 2.5707275154313609e+08 2.5832287340427569e+08 2.6254848958249909e+08 2.7130311148704153e+08 2.8704561802461123e+08 3.1392442510966164e+08 1.1118366648886922e+08 +6.5141047015671480e+00 4.5812946728873819e+08 4.5808640813421488e+08 4.5801418792146176e+08 4.5792149018655646e+08 4.5783305523984963e+08 4.5778615450393903e+08 4.5779683035764813e+08 4.5783728194570726e+08 4.5787990027497774e+08 4.5791970804817933e+08 4.5796059719028622e+08 4.5800349584391862e+08 4.5804826619209009e+08 4.5809532551020169e+08 4.5814547045553476e+08 4.5819940870348006e+08 4.5825806323211855e+08 4.5832271321771556e+08 4.5839489838935429e+08 4.5847633930765647e+08 4.5856900242290485e+08 4.5867501486169994e+08 4.5879621746052057e+08 4.5893549230499965e+08 4.5910195539913905e+08 4.5930178133152020e+08 4.5953502656350672e+08 4.5980410892061454e+08 4.6011337050915694e+08 4.6046756160531878e+08 4.6087141354493332e+08 4.6132930336279488e+08 4.6184481169675785e+08 4.6242011324311191e+08 4.6305516865327525e+08 4.6374657059668237e+08 4.6448611642761707e+08 4.6525895938328952e+08 4.6604143273210424e+08 4.6679840931638533e+08 4.6752666192482418e+08 4.6808507165535682e+08 4.6836466502589977e+08 4.6822945053914428e+08 4.6751868315309668e+08 4.6605432316818148e+08 4.6365509282462895e+08 4.6015731029348123e+08 4.5544108530128664e+08 4.4945387996170092e+08 4.4222783951920658e+08 4.3390253412025195e+08 4.2471753088762784e+08 4.1494755380906391e+08 4.0489396724777603e+08 3.9485593271049333e+08 3.8508461747028720e+08 3.7577702804876995e+08 3.6706297623292458e+08 3.5903092074284548e+08 3.5170748648762167e+08 3.4510529339577335e+08 3.3919457738219595e+08 3.3395864367645174e+08 3.2935003306233412e+08 3.2532240205593890e+08 3.2184103745772970e+08 3.1885274628970569e+08 3.1630320362872350e+08 3.1415628209255373e+08 3.1235509165650874e+08 3.1086747848554730e+08 3.0964915343004954e+08 3.0866684066407543e+08 3.0786904233462059e+08 3.0720267440839523e+08 3.0663489873167700e+08 3.0613051613956261e+08 3.0564879105144382e+08 3.0530602377936721e+08 3.0495931613402897e+08 3.0460529078512931e+08 3.0423438621457469e+08 3.0385173060063607e+08 3.0344574415281707e+08 3.0303308852301562e+08 3.0257258174649191e+08 3.0207975140020323e+08 3.0154553127496940e+08 3.0096284187410522e+08 3.0032308028574347e+08 2.9961655522064406e+08 2.9882874491177088e+08 2.9796432494299364e+08 2.9698626964534402e+08 2.9588971539402390e+08 2.9465875318151695e+08 2.9327626217444599e+08 2.9172458654001707e+08 2.8998601650037318e+08 2.8804038986345470e+08 2.8589332323577452e+08 2.8350305669039190e+08 2.8087958736835366e+08 2.7802898333423901e+08 2.7497360273927987e+08 2.7175148637539059e+08 2.6843504067173076e+08 2.6513148166619155e+08 2.6202002015519735e+08 2.5931868755069351e+08 2.5737664065063152e+08 2.5667743770669907e+08 2.5792563748100379e+08 2.6214475541258687e+08 2.7088591458339053e+08 2.8660421450057912e+08 3.1344168381490093e+08 1.1088534614474918e+08 +6.5190730243414059e+00 4.5812659446639764e+08 4.5808353089229757e+08 4.5801129804578424e+08 4.5791857858588010e+08 4.5783010904218775e+08 4.5778315943553573e+08 4.5779377391015178e+08 4.5783415097040242e+08 4.5787667836667085e+08 4.5791637435231632e+08 4.5795712691081721e+08 4.5799985985569745e+08 4.5804443041338617e+08 4.5809124978749895e+08 4.5814110780517793e+08 4.5819470406921184e+08 4.5825295184012502e+08 4.5831711862914687e+08 4.5838873042831296e+08 4.5846949164443332e+08 4.5856134982426333e+08 4.5866640975680184e+08 4.5878648283895624e+08 4.5892440109121495e+08 4.5908921715406018e+08 4.5928706974801648e+08 4.5951798384996110e+08 4.5978432521075803e+08 4.6009036942050356e+08 4.6044078937342715e+08 4.6084022785422462e+08 4.6129296122025537e+08 4.6180245640283793e+08 4.6237076074067849e+08 4.6299769371872717e+08 4.6367969363101017e+08 4.6440839197678798e+08 4.6516876803953695e+08 4.6593697868393213e+08 4.6667772663992184e+08 4.6738617875624967e+08 4.6792220438924187e+08 4.6817677114248520e+08 4.6801394928725070e+08 4.6727322004963809e+08 4.6577697546329528e+08 4.6334460164913571e+08 4.5981331042616403e+08 4.5506428881779218e+08 4.4904616746107227e+08 4.4179222257966328e+08 4.3344293137640011e+08 4.2423841213228130e+08 4.1445359176600349e+08 4.0438964143255877e+08 3.9434520867831188e+08 3.8457077401637280e+08 3.7526259346216112e+08 3.6654977979861629e+08 3.5852016576913548e+08 3.5119990831211096e+08 3.4460124490545529e+08 3.3869417385118133e+08 3.3346179489079130e+08 3.2885655107959026e+08 3.2483203803977811e+08 3.2135348830308157e+08 3.1836771591917789e+08 3.1582041615030086e+08 3.1367546239741284e+08 3.1187601405321938e+08 3.1038991881350529e+08 3.0917291838243961e+08 3.0819174595724624e+08 3.0739494133150434e+08 3.0672946833881605e+08 3.0616249957965243e+08 3.0565886127885085e+08 3.0517786590431440e+08 3.0483562388911992e+08 3.0448944949185216e+08 3.0413596948542094e+08 3.0376563657292306e+08 3.0338357082322663e+08 3.0297821155336213e+08 3.0256618806969410e+08 3.0210639114507300e+08 3.0161432045109540e+08 3.0108092374722493e+08 3.0049913244395471e+08 2.9986035688416702e+08 2.9915492070994771e+08 2.9836832584781712e+08 2.9750523413095337e+08 2.9652868608410126e+08 2.9543382165725678e+08 2.9420475635439676e+08 2.9282439572062099e+08 2.9127511112626064e+08 2.8953922007960308e+08 2.8759659272468990e+08 2.8545283071586376e+08 2.8306624727419722e+08 2.8044682035992581e+08 2.7760060868872690e+08 2.7454993596283823e+08 2.7133278436309093e+08 2.6802144875832331e+08 2.6472298116199264e+08 2.6161631046685156e+08 2.5891914024041900e+08 2.5698008584144610e+08 2.5628196161229113e+08 2.5752823850907388e+08 2.6174085552830341e+08 2.7046854644156933e+08 2.8616262979428548e+08 3.1295874439853728e+08 1.1058763730017054e+08 +6.5240413471156637e+00 4.5812105404551834e+08 4.5807798514296997e+08 4.5800573889438772e+08 4.5791299883809072e+08 4.5782449555957115e+08 4.5777749743275303e+08 4.5778805053048778e+08 4.5782835293330652e+08 4.5787078927489287e+08 4.5791037339670706e+08 4.5795098933086503e+08 4.5799355656048542e+08 4.5803792736171764e+08 4.5808450687576532e+08 4.5813407810280102e+08 4.5818733258333993e+08 4.5824517387026840e+08 4.5830885781790006e+08 4.5837989669710279e+08 4.5845997877366292e+08 4.5855103270936096e+08 4.5865514097898251e+08 4.5877408557704186e+08 4.5891064852114367e+08 4.5907381913636774e+08 4.5926970029851204e+08 4.5949828555671531e+08 4.5976188866536355e+08 4.6006471878951490e+08 4.6041137155482179e+08 4.6080640133380944e+08 4.6125398397639626e+08 4.6175747291738850e+08 4.6231878839880562e+08 4.6293760905929393e+08 4.6361021921446300e+08 4.6432808499656111e+08 4.6507601233289218e+08 4.6582998241260499e+08 4.6655452872412062e+08 4.6724321592199111e+08 4.6775690129412705e+08 4.6798649518352026e+08 4.6779613137742352e+08 4.6702551905321980e+08 4.6549748335451436e+08 4.6303207503652406e+08 4.5946739933333957e+08 4.5468571902458507e+08 4.4863683027726972e+08 4.4135513594422466e+08 4.3298201506138700e+08 4.2375813166927171e+08 4.1395861075085944e+08 4.0388442662957406e+08 3.9383371078696978e+08 3.8405625637665296e+08 3.7474756949962258e+08 3.6603606529138583e+08 3.5800895226575691e+08 3.5069192115957594e+08 3.4409682866533333e+08 3.3819343687975883e+08 3.3296464126046330e+08 3.2836278807711434e+08 3.2434141281477404e+08 3.2086569436203074e+08 3.1788245425902915e+08 3.1533740835148436e+08 3.1319443116219610e+08 3.1139673176015437e+08 3.0991215966291612e+08 3.0869648766956043e+08 3.0771645825729752e+08 3.0692064913071144e+08 3.0625607221226740e+08 3.0568991109624326e+08 3.0518701757907236e+08 3.0470675228407395e+08 3.0436503575359309e+08 3.0401939482320833e+08 3.0366646037813079e+08 3.0329669935133272e+08 3.0291522370029062e+08 3.0251049184968340e+08 3.0209910078630161e+08 3.0164001399601698e+08 3.0114870325650561e+08 3.0061613030150068e+08 3.0003523745330942e+08 2.9939744831473690e+08 2.9869310146561211e+08 2.9790772252703649e+08 2.9704595961409503e+08 2.9607091941960317e+08 2.9497774549175608e+08 2.9375057785555845e+08 2.9237234844601512e+08 2.9082545584667015e+08 2.8909224486349016e+08 2.8715261798159611e+08 2.8501216193446934e+08 2.8262926306860358e+08 2.8001388017769307e+08 2.7717206262537199e+08 2.7412609965098137e+08 2.7091391480048954e+08 2.6760769133778048e+08 2.6431431717960215e+08 2.6121243923572728e+08 2.5851943305162144e+08 2.5658337234956443e+08 2.5588632725877485e+08 2.5713068050671673e+08 2.6133679401388147e+08 2.7005101128162420e+08 2.8572086837071961e+08 3.1247561174433422e+08 1.1029053960237396e+08 +6.5290096698899216e+00 4.5811285402887058e+08 4.5806977728440768e+08 4.5799751916244769e+08 4.5790475861866194e+08 4.5781622225443870e+08 4.5776917598136222e+08 4.5777966771149117e+08 4.5781989532528347e+08 4.5786224049275470e+08 4.5790171267647338e+08 4.5794219194752282e+08 4.5798459345782959e+08 4.5802876453829765e+08 4.5807510427964050e+08 4.5812438885737437e+08 4.5817730175906813e+08 4.5823473683978528e+08 4.5829793830783510e+08 4.5836840472572279e+08 4.5844780823266166e+08 4.5853805862494749e+08 4.5864121608638942e+08 4.5875903324472910e+08 4.5889424217978162e+08 4.5905576894937658e+08 4.5924968060812706e+08 4.5947593933468884e+08 4.5973680696429646e+08 4.6003642633099341e+08 4.6037931590495235e+08 4.6076994178667516e+08 4.6121237948822963e+08 4.6170986916154903e+08 4.6226420421100533e+08 4.6287492275176090e+08 4.6353815551824939e+08 4.6424520376553434e+08 4.6498070066289407e+08 4.6572045245081383e+08 4.6642882424901772e+08 4.6709778227221173e+08 4.6758917140173209e+08 4.6779384636885446e+08 4.6757600621536064e+08 4.6677558974138498e+08 4.6521585656608653e+08 4.6271752281679249e+08 4.5911958689085853e+08 4.5430538577132314e+08 4.4822587815079033e+08 4.4091658915703785e+08 4.3251979444387364e+08 4.2327669842688006e+08 4.1346261930539179e+08 4.0337833097227770e+08 3.9332144676140493e+08 3.8354107188379186e+08 3.7423196312934279e+08 3.6552183935138822e+08 3.5749728657892847e+08 3.5018353112033176e+08 3.4359205054322141e+08 3.3769237214374769e+08 3.3246718829637086e+08 3.2786874942451763e+08 3.2385053163045019e+08 3.2037766078325427e+08 3.1739696637222493e+08 3.1485418522464311e+08 3.1271319332174325e+08 3.1091724966434669e+08 3.0943420588420624e+08 3.0821986611286193e+08 3.0724098236388797e+08 3.0644617051509374e+08 3.0578249079877293e+08 3.0521713804144388e+08 3.0471498979212373e+08 3.0423545493543762e+08 3.0389426411102390e+08 3.0354915686134529e+08 3.0319676819119608e+08 3.0282757927211845e+08 3.0244669394798511e+08 3.0204258975186157e+08 3.0163183137660009e+08 3.0117345499520046e+08 3.0068290450472873e+08 3.0015115561793840e+08 2.9957116157334477e+08 2.9893435923893446e+08 2.9823110213747823e+08 2.9744693958745944e+08 2.9658650601738620e+08 2.9561297426122564e+08 2.9452149148976606e+08 2.9329622225874853e+08 2.9192012490245730e+08 2.9037562522915852e+08 2.8864509535278016e+08 2.8670847010515440e+08 2.8457132132845128e+08 2.8219210847334635e+08 2.7958077118119657e+08 2.7674334945951712e+08 2.7370209807153642e+08 2.7049488190521336e+08 2.6719377257642129e+08 2.6390549383431646e+08 2.6080841052869210e+08 2.5811957000898540e+08 2.5618650416947991e+08 2.5549053862960166e+08 2.5673296747690591e+08 2.6093257493796545e+08 2.6963331330780739e+08 2.8527893467838669e+08 3.1199229071647781e+08 1.0999405269364911e+08 +6.5339779926641794e+00 4.5810199409514892e+08 4.5805891539139670e+08 4.5798664600004679e+08 4.5789386582488102e+08 4.5780529661693227e+08 4.5775820256743228e+08 4.5776863295729452e+08 4.5780878564906883e+08 4.5785103952333581e+08 4.5789039969778168e+08 4.5793074226803952e+08 4.5797297805706072e+08 4.5801694945655411e+08 4.5806304951554310e+08 4.5811204758820164e+08 4.5816461912008899e+08 4.5822164827718806e+08 4.5828436763291550e+08 4.5835426205457419e+08 4.5843298756988382e+08 4.5852243512819886e+08 4.5862464264638853e+08 4.5874133342187059e+08 4.5887518966237456e+08 4.5903507420604169e+08 4.5922701831122583e+08 4.5945095284334177e+08 4.5970908779709256e+08 4.6000549976948792e+08 4.6034463018903810e+08 4.6073085702418292e+08 4.6116815562287885e+08 4.6165965306438768e+08 4.6220701617899936e+08 4.6280964288036001e+08 4.6346351072108495e+08 4.6415975656851947e+08 4.6488284143417138e+08 4.6560839733597040e+08 4.6630062189770854e+08 4.6694988666059572e+08 4.6741902374598700e+08 4.6759883391797602e+08 4.6735358320372498e+08 4.6652344168740016e+08 4.6493210481606716e+08 4.6240095480928868e+08 4.5876988296232927e+08 4.5392329889315617e+08 4.4781332080411494e+08 4.4047659174344784e+08 4.3205627877192140e+08 4.2279412130996877e+08 4.1296562594851393e+08 4.0287136257065946e+08 3.9280842430294514e+08 3.8302522784712988e+08 3.7371578129740173e+08 3.6500710859483093e+08 3.5698517503397065e+08 3.4967474426374215e+08 3.4308691638643003e+08 3.3719098529861736e+08 3.3196944148871267e+08 3.2737444047136807e+08 3.2335939971706170e+08 3.1988939269537693e+08 3.1691125730309892e+08 3.1437075174352026e+08 3.1223175379223484e+08 3.1043757263567388e+08 3.0895606230982417e+08 3.0774305851607084e+08 3.0676532305847836e+08 3.0597151024987328e+08 3.0530872885045803e+08 3.0474418515810776e+08 3.0424278265202832e+08 3.0376397858422172e+08 3.0342331368234634e+08 3.0307874032173926e+08 3.0272689763468939e+08 3.0235828103936213e+08 3.0197798626472384e+08 3.0157450995184314e+08 3.0116438452569532e+08 3.0070671882148820e+08 3.0021692886671519e+08 2.9968600435942614e+08 2.9910690945777667e+08 2.9847109430024886e+08 2.9776892735880411e+08 2.9698598164966446e+08 2.9612687794828784e+08 2.9515485520151609e+08 2.9406506422681624e+08 2.9284169411993122e+08 2.9146772962504256e+08 2.8992562378484416e+08 2.8819777603148973e+08 2.8626415354895753e+08 2.8413031331869835e+08 2.8175478787251478e+08 2.7914749771369004e+08 2.7631447349017155e+08 2.7327793547621185e+08 2.7007568987945145e+08 2.6677969662516731e+08 2.6349651522577503e+08 2.6040422839750883e+08 2.5771955512239397e+08 2.5578948528103304e+08 2.5509459969384739e+08 2.5633510340832219e+08 2.6052820235393241e+08 2.6921545670909464e+08 2.8483683314872342e+08 3.1150878616208404e+08 1.0969817621136759e+08 +6.5389463154384373e+00 4.5808849358657187e+08 4.5804540693364769e+08 4.5797312808306420e+08 4.5788032786091882e+08 4.5779172614436948e+08 4.5774458468420583e+08 4.5775495378279305e+08 4.5779503141687500e+08 4.5783719388141012e+08 4.5787644197712719e+08 4.5791664781108290e+08 4.5795871787949193e+08 4.5800248963966268e+08 4.5804835010949349e+08 4.5809706182533056e+08 4.5814929219998348e+08 4.5820591572078955e+08 4.5826815333752465e+08 4.5833747623447585e+08 4.5841552434381634e+08 4.5850416978673124e+08 4.5860542823730570e+08 4.5872099369977450e+08 4.5885349857404089e+08 4.5901174252971679e+08 4.5920172105299789e+08 4.5942333375315857e+08 4.5967873886386013e+08 4.5997194683902413e+08 4.6030732218161404e+08 4.6068915486769873e+08 4.6112132025504106e+08 4.6160683256317902e+08 4.6214723231156552e+08 4.6274177753657174e+08 4.6338629300853735e+08 4.6407175169706762e+08 4.6478244305699891e+08 4.6549382561054516e+08 4.6616993035773003e+08 4.6679953794257820e+08 4.6724646736092561e+08 4.6740146704900736e+08 4.6712887174187356e+08 4.6626908445907855e+08 4.6464623781389230e+08 4.6208238082340288e+08 4.5841829739847547e+08 4.5353946820844179e+08 4.4739916794265497e+08 4.4003515320871949e+08 4.3159147727140194e+08 4.2231040920176369e+08 4.1246763917533678e+08 4.0236352951154959e+08 3.9229465108980870e+08 3.8250873155284697e+08 3.7319903092698157e+08 3.6449187961705410e+08 3.5647262393552458e+08 3.4916556663881564e+08 3.4258143202152753e+08 3.3668928197958380e+08 3.3147140630884171e+08 3.2687986654871029e+08 3.2286802228552169e+08 3.1940089520911986e+08 3.1642533207740527e+08 3.1388711286410296e+08 3.1175011747106051e+08 3.0995770552549034e+08 3.0847773375417948e+08 3.0726606966450983e+08 3.0628948510485387e+08 3.0549667308173490e+08 3.0483479110185724e+08 3.0427105717034543e+08 3.0377040087477601e+08 3.0329232793892616e+08 3.0295218917103958e+08 3.0260814990211374e+08 3.0225685340056956e+08 3.0188880933948612e+08 3.0150910533133185e+08 3.0110625712435305e+08 3.0069676490207499e+08 3.0023981013562864e+08 2.9975078099611175e+08 2.9922068117113858e+08 2.9864248574297273e+08 2.9800765812559533e+08 2.9730658174524420e+08 2.9652485331749398e+08 2.9566707999648744e+08 2.9469656681508923e+08 2.9360846826078552e+08 2.9238699797812992e+08 2.9101516713128060e+08 2.8947545600739133e+08 2.8775029136677521e+08 2.8581967275042689e+08 2.8368914230943960e+08 2.8131730563313061e+08 2.7871406410199481e+08 2.7588543900057727e+08 2.7285361610090721e+08 2.6965634290940106e+08 2.6636546761897659e+08 2.6308738543828958e+08 2.5999989687829816e+08 2.5731939238646275e+08 2.5539231964927658e+08 2.5469851440576547e+08 2.5593709227398944e+08 2.6012368030028749e+08 2.6879744565820307e+08 2.8439456819739175e+08 3.1102510290931898e+08 1.0940290978801486e+08 +6.5439146382126951e+00 4.5807235323245198e+08 4.5802925801856744e+08 4.5795697045661592e+08 4.5786415174699348e+08 4.5777551831942880e+08 4.5772832983833647e+08 4.5773863771314043e+08 4.5777864015179515e+08 4.5782071109147382e+08 4.5785984704208720e+08 4.5789991610487902e+08 4.5794182045639795e+08 4.5798539262145430e+08 4.5803101359884614e+08 4.5807943910911065e+08 4.5813132854380733e+08 4.5818754672043246e+08 4.5824930297633749e+08 4.5831805482682258e+08 4.5839542612352574e+08 4.5848327017854488e+08 4.5858358044728184e+08 4.5869802167877924e+08 4.5882917653076440e+08 4.5898578155376321e+08 4.5917379648810625e+08 4.5939308974384075e+08 4.5964576787378341e+08 4.5993577528332734e+08 4.6026739966564763e+08 4.6064484314694428e+08 4.6107188126856452e+08 4.6155141560401756e+08 4.6208486062587082e+08 4.6267133481947440e+08 4.6330651057194722e+08 4.6398119744819063e+08 4.6467951394630748e+08 4.6537674582072109e+08 4.6603675831828970e+08 4.6664674497425085e+08 4.6707151128076917e+08 4.6720175497785562e+08 4.6690188122530746e+08 4.6601252761893588e+08 4.6435826526048154e+08 4.6176181065787715e+08 4.5806484003718078e+08 4.5315390352185857e+08 4.4698342925341415e+08 4.3959228303843975e+08 4.3112539914794612e+08 4.2182557096269137e+08 4.1196866745839405e+08 4.0185483985786855e+08 3.9178013477587140e+08 3.8199159026432395e+08 3.7268171891877937e+08 3.6397615899105227e+08 3.5595963956479782e+08 3.4865600427220333e+08 3.4207560325487554e+08 3.3618726780148363e+08 3.3097308820747542e+08 3.2638503296706593e+08 3.2237640452769965e+08 3.1891217341520846e+08 3.1593919570218349e+08 3.1340327352289259e+08 3.1126828923839760e+08 3.0947765316659778e+08 3.0799922501359409e+08 3.0678890432605869e+08 3.0581347324897319e+08 3.0502166374056661e+08 3.0436068226999724e+08 3.0379775878493708e+08 3.0329784915894073e+08 3.0282050769050246e+08 3.0248089526244628e+08 3.0213739028276592e+08 3.0178664016390425e+08 3.0141916884195328e+08 3.0104005581066704e+08 3.0063783592629522e+08 3.0022897715607315e+08 2.9977273358158064e+08 2.9928446552853829e+08 2.9875519068049431e+08 2.9817789504759711e+08 2.9754405532349849e+08 2.9684406989449549e+08 2.9606355917667103e+08 2.9520711673485029e+08 2.9423811365983850e+08 2.9315170813255328e+08 2.9193213835573304e+08 2.9056244192213446e+08 2.8902512637359732e+08 2.8730264580909503e+08 2.8537503213009393e+08 2.8324781268796611e+08 2.8087966610638493e+08 2.7828047465663379e+08 2.7545625025726414e+08 2.7242914416583300e+08 2.6923684516552430e+08 2.6595108967754221e+08 2.6267810854068995e+08 2.5959541999226117e+08 2.5691908578087872e+08 2.5499501122367388e+08 2.5430228670451376e+08 2.5553893803236172e+08 2.5971901279987743e+08 2.6837928431236511e+08 2.8395214422234982e+08 3.1054124576844358e+08 1.0910825305122255e+08 +6.5488829609869530e+00 4.5805357840866613e+08 4.5801048132263088e+08 4.5793818189325935e+08 4.5784534486733752e+08 4.5775668062662160e+08 4.5770944555461019e+08 4.5771969228397232e+08 4.5775961938688588e+08 4.5780159868877792e+08 4.5784062242922813e+08 4.5788055468859839e+08 4.5792229332908970e+08 4.5796566594573164e+08 4.5801104753030121e+08 4.5805918698986548e+08 4.5811073570568782e+08 4.5816654883543116e+08 4.5822782411426550e+08 4.5829600540323871e+08 4.5837270048754072e+08 4.5845974389101201e+08 4.5855910687449855e+08 4.5867242496925884e+08 4.5880223115738273e+08 4.5895719892134088e+08 4.5914325228024584e+08 4.5936022850459802e+08 4.5961018254503697e+08 4.5989699285470879e+08 4.6022487043343395e+08 4.6059792970032889e+08 4.6101984655444306e+08 4.6149341014044583e+08 4.6201990914732033e+08 4.6259832283465141e+08 4.6322417161015064e+08 4.6388810212517607e+08 4.6457406252226073e+08 4.6525716651655710e+08 4.6590111447255528e+08 4.6649151661547852e+08 4.6689416453963798e+08 4.6699970691989070e+08 4.6667262104688585e+08 4.6575378072263902e+08 4.6406819685005981e+08 4.6143925410125619e+08 4.5770952070285881e+08 4.5276661462122053e+08 4.4656611440578055e+08 4.3914799069851881e+08 4.3065805358472466e+08 4.2133961543042815e+08 4.1146871924656141e+08 4.0134530164959222e+08 3.9126488299271834e+08 3.8147381122126842e+08 3.7216385215041924e+08 3.6345995326729935e+08 3.5544622818264627e+08 3.4814606317045444e+08 3.4156943587169874e+08 3.3568494835998785e+08 3.3047449261668175e+08 3.2588994501868606e+08 3.2188455161684465e+08 3.1842323238637161e+08 3.1545285316591680e+08 3.1291923863862818e+08 3.1078627395495784e+08 3.0899742037439960e+08 3.0752054086613053e+08 3.0631156724988574e+08 3.0533729221825600e+08 3.0454648693745178e+08 3.0388640705352271e+08 3.0332429469092357e+08 3.0282513218521184e+08 3.0234852251214951e+08 3.0200943662408799e+08 3.0166646612611693e+08 3.0131626258146691e+08 3.0094936419810057e+08 3.0057084234872890e+08 3.0016925099697500e+08 2.9976102592097968e+08 2.9930549378476864e+08 2.9881798708287793e+08 2.9828953749804288e+08 2.9771314197296393e+08 2.9708029048588377e+08 2.9638139638769591e+08 2.9560210379597944e+08 2.9474699271903491e+08 2.9377950027627939e+08 2.9269478836613989e+08 2.9147711975753903e+08 2.9010955848143357e+08 2.8857463934400207e+08 2.8685484379191041e+08 2.8493023609166616e+08 2.8280632882506680e+08 2.8044187362630284e+08 2.7784673367203391e+08 2.7502691151111001e+08 2.7200452387477165e+08 2.6881720080258781e+08 2.6553656690492189e+08 2.6226868858680490e+08 2.5919080174538720e+08 2.5651863927030277e+08 2.5459756393938673e+08 2.5390592051403967e+08 2.5514064462665772e+08 2.5931420386073944e+08 2.6796097681321812e+08 2.8350956560567945e+08 3.1005721953176200e+08 1.0881420562380084e+08 +6.5538512837612108e+00 4.5803217827989817e+08 4.5798907771139467e+08 4.5791677036865330e+08 4.5782391505943590e+08 4.5773522059296620e+08 4.5768793937747914e+08 4.5769812503810090e+08 4.5773797666591144e+08 4.5777986421728784e+08 4.5781877568713641e+08 4.5785857111133420e+08 4.5790014404877120e+08 4.5794331716700876e+08 4.5798845946136636e+08 4.5803631302864152e+08 4.5808752125056499e+08 4.5814292963469934e+08 4.5820372432604849e+08 4.5827133554449326e+08 4.5834735502499145e+08 4.5843359852224630e+08 4.5853201512772918e+08 4.5864421119203711e+08 4.5877267008864206e+08 4.5892600228478414e+08 4.5911009610367632e+08 4.5932475773381817e+08 4.5957199060490620e+08 4.5985560731458360e+08 4.6017974228606725e+08 4.6054842237446272e+08 4.6096522401352310e+08 4.6143282413331151e+08 4.6195238590678459e+08 4.6252274969520020e+08 4.6313928432780921e+08 4.6379247403629541e+08 4.6446609721010083e+08 4.6513509625291109e+08 4.6576300751696020e+08 4.6633386172645473e+08 4.6671443617238826e+08 4.6679533208785701e+08 4.6644110059504294e+08 4.6549285332080263e+08 4.6377604226781094e+08 4.6111472093101692e+08 4.5735234920754063e+08 4.5237761127925128e+08 4.4614723305124003e+08 4.3870228563461614e+08 4.3018944974417067e+08 4.2085255142075974e+08 4.1096780296559000e+08 4.0083492290303200e+08 3.9074890334805375e+08 3.8095540164068371e+08 3.7164543747710323e+08 3.6294326897461843e+08 3.5493239602768117e+08 3.4763574931856811e+08 3.4106293563709807e+08 3.3518232922912180e+08 3.2997562494774920e+08 3.2539460797553140e+08 3.2139246870640373e+08 3.1793407717628169e+08 3.1496630943822706e+08 3.1243501311155820e+08 3.1030407646422827e+08 3.0851701194550037e+08 3.0704168607198542e+08 3.0583406316823232e+08 3.0486094672320485e+08 3.0407114736618054e+08 3.0341197013333565e+08 3.0285066955939138e+08 3.0235225461622131e+08 3.0187637705881417e+08 3.0153781790632951e+08 3.0119538207682014e+08 3.0084572529299664e+08 3.0047940004143000e+08 3.0010146957299811e+08 2.9970050695803517e+08 2.9929291581207299e+08 2.9883809535392851e+08 2.9835135025952792e+08 2.9782372621653187e+08 2.9724823110321105e+08 2.9661636818646753e+08 2.9591856578821117e+08 2.9514049172716612e+08 2.9428671248695403e+08 2.9332073118788379e+08 2.9223771346793860e+08 2.9102194667141289e+08 2.8965652127628851e+08 2.8812399936180454e+08 2.8640688973192978e+08 2.8448528902252758e+08 2.8236469507555145e+08 2.8000393251095992e+08 2.7741284542606747e+08 2.7459742699665630e+08 2.7157975941582996e+08 2.6839741395982850e+08 2.6512190338974500e+08 2.6185912961448839e+08 2.5878604612844929e+08 2.5611805680440378e+08 2.5419998171655196e+08 2.5350941974427566e+08 2.5474221598553765e+08 2.5890925747558564e+08 2.6754252728645134e+08 2.8306683671262437e+08 3.0957302897305977e+08 1.0852076712376998e+08 +6.5588196065354687e+00 4.5800816611413270e+08 4.5796505781876051e+08 4.5789274186954916e+08 4.5779986987486541e+08 4.5771114580759668e+08 4.5766381886864007e+08 4.5767394353011215e+08 4.5771371954165959e+08 4.5775551523327345e+08 4.5779431437177908e+08 4.5783397293164623e+08 4.5787538017714900e+08 4.5791835384876066e+08 4.5796325695865583e+08 4.5801082479540676e+08 4.5806169275285459e+08 4.5811669669759744e+08 4.5817701119644815e+08 4.5824405284170800e+08 4.5831939733415896e+08 4.5840484167955351e+08 4.5850231282367325e+08 4.5861338797678298e+08 4.5874050096939254e+08 4.5889219930586296e+08 4.5907433564048332e+08 4.5928668513886029e+08 4.5953119979040265e+08 4.5981162643303651e+08 4.6013202303293002e+08 4.6049632902492154e+08 4.6090802155350721e+08 4.6136966555213660e+08 4.6188229894398868e+08 4.6244462352024418e+08 4.6305185693540412e+08 4.6369432149579531e+08 4.6435562643934482e+08 4.6501054358741510e+08 4.6562244614947832e+08 4.6617378916807336e+08 4.6653233521360815e+08 4.6658863969333589e+08 4.6620732925470382e+08 4.6522975495874655e+08 4.6348181119039559e+08 4.6078822091375899e+08 4.5699333534811264e+08 4.5198690325269538e+08 4.4572679482342750e+08 4.3825517727232915e+08 4.2971959676674759e+08 4.2036438772569567e+08 4.1046592701830733e+08 4.0032371161040384e+08 3.9023220342567319e+08 3.8043636871650219e+08 3.7112648173161471e+08 3.6242611261900520e+08 3.5441814931721634e+08 3.4712506868077403e+08 3.4055610829522765e+08 3.3467941596419799e+08 3.2947649059263587e+08 3.2489902709063214e+08 3.2090016093117362e+08 3.1744471282035619e+08 3.1447956947058171e+08 3.1195060182324821e+08 3.0982170159103453e+08 3.0803643265864265e+08 3.0656266537373102e+08 3.0535639679448700e+08 3.0438444145541620e+08 3.0359564970220780e+08 3.0293737617298168e+08 3.0237688804435349e+08 3.0187922109751260e+08 3.0140407596858847e+08 3.0106604374176246e+08 3.0072414276236951e+08 3.0037503292016864e+08 3.0000928098830312e+08 2.9963194209403265e+08 2.9923160841388035e+08 2.9882465142734581e+08 2.9837054287997979e+08 2.9788455964219177e+08 2.9735776141144973e+08 2.9678316700470185e+08 2.9615229298268247e+08 2.9545558264176124e+08 2.9467872750407356e+08 2.9382628055995637e+08 2.9286181090069526e+08 2.9178048792765737e+08 2.9056662356825238e+08 2.8920333475617933e+08 2.8767321085316938e+08 2.8595878802933669e+08 2.8404019529264265e+08 2.8192291577715933e+08 2.7956584706205106e+08 2.7697881418078375e+08 2.7416780093233180e+08 2.7115485496113491e+08 2.6797748876016158e+08 2.6470710320476833e+08 2.6144943564710048e+08 2.5838115711714622e+08 2.5571734231791142e+08 2.5380226846022737e+08 2.5311278828955790e+08 2.5434365602249563e+08 2.5850417762189969e+08 2.6712393984230083e+08 2.8262396189164990e+08 3.0908867884801626e+08 1.0822793716439261e+08 +6.5637879293097265e+00 4.5798154493362087e+08 4.5793843113435930e+08 4.5786610716659588e+08 4.5777321710169613e+08 4.5768446389353675e+08 4.5763709160490984e+08 4.5764715532131374e+08 4.5768685557741863e+08 4.5772855930101389e+08 4.5776724605144501e+08 4.5780676771867657e+08 4.5784800928507733e+08 4.5789078356534797e+08 4.5793544759908086e+08 4.5798272987024707e+08 4.5803325779627037e+08 4.5808785761285061e+08 4.5814769231944484e+08 4.5821416489555150e+08 4.5828883502332795e+08 4.5837348097900033e+08 4.5847000758975792e+08 4.5857996296226656e+08 4.5870573145289296e+08 4.5885579765540266e+08 4.5903597858299184e+08 4.5924601843629354e+08 4.5948781784636652e+08 4.5976505798917401e+08 4.6008172049165481e+08 4.6044165751445514e+08 4.6084824709002799e+08 4.6130394237342077e+08 4.6180965630478817e+08 4.6236395243606544e+08 4.6296189764975774e+08 4.6359365282277399e+08 4.6424265864448690e+08 4.6488351708147085e+08 4.6547943907133555e+08 4.6601130780382186e+08 4.6634787069637996e+08 4.6637963894544190e+08 4.6597131640678179e+08 4.6496449517359138e+08 4.6318551328639591e+08 4.6045976380562371e+08 4.5663248891018343e+08 4.5159450028222901e+08 4.4530480933744884e+08 4.3780667501813996e+08 4.2924850377166986e+08 4.1987513311583441e+08 4.0996309978365827e+08 3.9981167574110019e+08 3.8971479078663081e+08 3.7991671961886019e+08 3.7060699172333497e+08 3.6190849068474764e+08 3.5390349424701488e+08 3.4661402719990993e+08 3.4004895957004642e+08 3.3417621409925103e+08 3.2897709492377681e+08 3.2440320759743530e+08 3.2040763340689975e+08 3.1695514433395761e+08 3.1399263819563347e+08 3.1146600963723606e+08 3.0933915414149994e+08 3.0755568727449262e+08 3.0608348349493867e+08 3.0487857282433969e+08 3.0390778108945906e+08 3.0311999860361624e+08 3.0246262981796587e+08 3.0190295478051680e+08 3.0140603625622016e+08 3.0093162386123842e+08 3.0059411874467891e+08 3.0025275279199415e+08 2.9990419006705201e+08 2.9953901163699561e+08 2.9916226450476557e+08 2.9876255995119929e+08 2.9835623734708476e+08 2.9790284093611974e+08 2.9741761979701722e+08 2.9689164764044327e+08 2.9631795422639078e+08 2.9568806941336685e+08 2.9499245147788483e+08 2.9421681564374620e+08 2.9336570144173640e+08 2.9240274390383571e+08 2.9132311621782571e+08 2.9011115490184081e+08 2.8875000335436261e+08 2.8722227822788775e+08 2.8551054306703538e+08 2.8359495925635761e+08 2.8148099525088072e+08 2.7912762156467146e+08 2.7654464418134719e+08 2.7373803752090818e+08 2.7072981466711295e+08 2.6755742931160995e+08 2.6429217040769544e+08 2.6103961069174892e+08 2.5797613867157999e+08 2.5531649973018765e+08 2.5340442806069458e+08 2.5271603002968889e+08 2.5394496863596395e+08 2.5809896826210424e+08 2.6670521857529730e+08 2.8218094547533196e+08 3.0860417389481443e+08 1.0793571535420515e+08 +6.5687562520839844e+00 4.5795231611074615e+08 4.5790920278239942e+08 4.5783687179301941e+08 4.5774396422854030e+08 4.5765518246598881e+08 4.5760776517353916e+08 4.5761776798249632e+08 4.5765739234588248e+08 4.5769900399475467e+08 4.5773757830205888e+08 4.5777696305061656e+08 4.5781803895279783e+08 4.5786061389961326e+08 4.5790503896851093e+08 4.5795203584253937e+08 4.5800222397481459e+08 4.5805641997835994e+08 4.5811577529875499e+08 4.5818167931518364e+08 4.5825567570935512e+08 4.5833952404726207e+08 4.5843510706246680e+08 4.5854394379679245e+08 4.5866836920176417e+08 4.5881680501369607e+08 4.5899503263206750e+08 4.5920276535149187e+08 4.5944185252606702e+08 4.5971590976927495e+08 4.6002884248859960e+08 4.6038441571430320e+08 4.6078590854650164e+08 4.6123566257994497e+08 4.6173446604238951e+08 4.6228074457426661e+08 4.6286941469309312e+08 4.6349047634127104e+08 4.6412720226338929e+08 4.6475402529994184e+08 4.6533399498561007e+08 4.6584642649734497e+08 4.6616105165455371e+08 4.6616833905105191e+08 4.6573307142754430e+08 4.6469708349808359e+08 4.6288715821549278e+08 4.6012935935107189e+08 4.5626981966455907e+08 4.5120041209295863e+08 4.4488128619031459e+08 4.3735678825690687e+08 4.2877617985598648e+08 4.1938479633790874e+08 4.0945932961751407e+08 3.9929882324078125e+08 3.8919667296797878e+08 3.7939646149541944e+08 3.7008697423943543e+08 3.6139040963414884e+08 3.5338843699073231e+08 3.4610263079761630e+08 3.3954149516406029e+08 3.3367272914884871e+08 3.2847744329368854e+08 3.2390715471034104e+08 3.1991489122986591e+08 3.1646537671455699e+08 3.1350552052715969e+08 3.1098124139822650e+08 3.0885643890430337e+08 3.0707478053569633e+08 3.0560414514219850e+08 3.0440059593589252e+08 3.0343097028167844e+08 3.0264419871074051e+08 3.0198773569580960e+08 3.0142887438686633e+08 3.0093270470264256e+08 3.0045902533916682e+08 3.0012204751264536e+08 2.9978121675776470e+08 2.9943320132030785e+08 2.9906859656884593e+08 2.9869244138012552e+08 2.9829336613912910e+08 2.9788767813397986e+08 2.9743499407860762e+08 2.9695053527238154e+08 2.9642538944432992e+08 2.9585259730044723e+08 2.9522370200117815e+08 2.9452917680726594e+08 2.9375476064590997e+08 2.9290497961864769e+08 2.9194353466885048e+08 2.9086560279345530e+08 2.8965554510899979e+08 2.8829653148659599e+08 2.8677120587819302e+08 2.8506215921192837e+08 2.8314958525063336e+08 2.8103893780192959e+08 2.7868926028785235e+08 2.7611033965726453e+08 2.7330814094867438e+08 2.7030464267418075e+08 2.6713723970573923e+08 2.6387710904030994e+08 2.6062965874076730e+08 2.5757099473747346e+08 2.5491553294614014e+08 2.5300646439352253e+08 2.5231914882941195e+08 2.5354615771005145e+08 2.5769363334344265e+08 2.6628636756439549e+08 2.8173779177877605e+08 3.0811951883235121e+08 1.0764410129704975e+08 +6.5737245748582422e+00 4.5792049685925543e+08 4.5787737974873447e+08 4.5780504237835920e+08 4.5771211889088130e+08 4.5762330910886204e+08 4.5757584717073005e+08 4.5758578909264696e+08 4.5762533742942584e+08 4.5766685689804894e+08 4.5770531870915568e+08 4.5774456651487786e+08 4.5778547677072144e+08 4.5782785244400638e+08 4.5787203866252440e+08 4.5791875031120592e+08 4.5796859889109921e+08 4.5802239140182382e+08 4.5808126774687284e+08 4.5814660372074169e+08 4.5821992701876432e+08 4.5830297851925009e+08 4.5839761888664913e+08 4.5850533813812411e+08 4.5862842188756490e+08 4.5877522906948739e+08 4.5895150549680662e+08 4.5915693361772567e+08 4.5939331159273225e+08 4.5966418956980234e+08 4.5997339685721397e+08 4.6032461150303185e+08 4.6072101385379922e+08 4.6116483416324699e+08 4.6165673621615487e+08 4.6219500807375747e+08 4.6277441629373240e+08 4.6338480038053215e+08 4.6400926573867971e+08 4.6462207681111246e+08 4.6518612259794492e+08 4.6567915411310440e+08 4.6597188712130874e+08 4.6595474921471900e+08 4.6549260369020754e+08 4.6442752945767695e+08 4.6258675562895793e+08 4.5979701728333801e+08 4.5590533736864549e+08 4.5080464839379328e+08 4.4445623496084535e+08 4.3690552635430717e+08 4.2830263409535408e+08 4.1889338611685848e+08 4.0895462485234469e+08 3.9878516203107160e+08 3.8867785748365617e+08 3.7887560147059566e+08 3.6956643604450709e+08 3.6087187590690154e+08 3.5287298370126843e+08 3.4559088537517834e+08 3.3903372076058352e+08 3.3316896660754585e+08 3.2797754103491193e+08 3.2341087362403154e+08 3.1942193947803915e+08 3.1597541494087684e+08 3.1301822136119527e+08 3.1049630193307316e+08 3.0837356064939010e+08 3.0659371716658038e+08 3.0512465500341493e+08 3.0392247078926140e+08 3.0295401367077988e+08 3.0216825464602101e+08 3.0151269841693407e+08 3.0095465146307969e+08 3.0045923102873033e+08 2.9998628498742783e+08 2.9964983462523663e+08 2.9930953923389089e+08 2.9896207124893075e+08 2.9859804034715253e+08 2.9822247727807200e+08 2.9782403152922678e+08 2.9741897833379185e+08 2.9696700684569305e+08 2.9648331059920484e+08 2.9595899134584206e+08 2.9538710074082482e+08 2.9475919525045252e+08 2.9406576312447286e+08 2.9329256699279475e+08 2.9244411956024045e+08 2.9148418765058100e+08 2.9040795209312981e+08 2.8919979860956961e+08 2.8784292355196208e+08 2.8631999817995590e+08 2.8461364081322998e+08 2.8270407759603220e+08 2.8059674771820706e+08 2.7825076748354328e+08 2.7567590482172167e+08 2.7287811538583195e+08 2.6987934310664505e+08 2.6671692401877847e+08 2.6346192312914860e+08 2.6021958377134034e+08 2.5716572924481916e+08 2.5451444585551259e+08 2.5260838131905699e+08 2.5192214853895584e+08 2.5314722711305219e+08 2.5728817679806706e+08 2.6586739087261683e+08 2.8129450510132074e+08 3.0763471836257362e+08 1.0735309459210584e+08 +6.5786928976325001e+00 4.5788609258783114e+08 4.5784297154410213e+08 4.5777062612192708e+08 4.5767768914881617e+08 4.5758885138815665e+08 4.5754134519879991e+08 4.5755122623958850e+08 4.5759069841859710e+08 4.5763212560347474e+08 4.5767047486843443e+08 4.5770958570848399e+08 4.5775033033757079e+08 4.5779250679950339e+08 4.5783645428566778e+08 4.5788288088450307e+08 4.5793239015676117e+08 4.5798577949942607e+08 4.5804417728594160e+08 4.5810894573949558e+08 4.5818159658715796e+08 4.5826385203909510e+08 4.5835755071664476e+08 4.5846415365198773e+08 4.5858589719016534e+08 4.5873107752000445e+08 4.5890540489537525e+08 4.5910853097754091e+08 4.5934220281571937e+08 4.5960990519342262e+08 4.5991539143932801e+08 4.6026225276735312e+08 4.6065357094944000e+08 4.6109146512030905e+08 4.6157647489228946e+08 4.6210675107846087e+08 4.6267691068469095e+08 4.6327663327439606e+08 4.6388885751677793e+08 4.6448768018628258e+08 4.6503583061572570e+08 4.6550949951691270e+08 4.6578038612802184e+08 4.6573887863871741e+08 4.6524992256174147e+08 4.6415584257137841e+08 4.6228431516845739e+08 4.5946274732484388e+08 4.5553905176555800e+08 4.5040721887673080e+08 4.4402966520924670e+08 4.3645289865571129e+08 4.2782787554393220e+08 4.1840091115403205e+08 4.0844899379715866e+08 3.9827070001065695e+08 3.8815835182398754e+08 3.7835414664532405e+08 3.6904538388022506e+08 3.6035289592052263e+08 3.5235714050898159e+08 3.4507879681189102e+08 3.3852564202114463e+08 3.3266493194941759e+08 3.2747739346072328e+08 3.2291436951368815e+08 3.1892878320938903e+08 3.1548526397208863e+08 3.1253074557420772e+08 3.1001119604975396e+08 3.0789052412894475e+08 3.0611250187333089e+08 3.0464501774919927e+08 3.0344420202635670e+08 3.0247691587748295e+08 3.0169217101375896e+08 3.0103752257350785e+08 3.0048029059223682e+08 2.9998561980881274e+08 2.9951340737249738e+08 2.9917748464398229e+08 2.9883772477697825e+08 2.9849080440407807e+08 2.9812734751762652e+08 2.9775237673874867e+08 2.9735456065563500e+08 2.9695014247417921e+08 2.9649888375840771e+08 2.9601595029140258e+08 2.9549245785088634e+08 2.9492146904473919e+08 2.9429455364882231e+08 2.9360221490652281e+08 2.9283023914952183e+08 2.9198312571855140e+08 2.9102470728675562e+08 2.8995016853763455e+08 2.8874391980631137e+08 2.8738918393273741e+08 2.8586865949204588e+08 2.8416499220402843e+08 2.8225844059660208e+08 2.8015442927179980e+08 2.7781214738832796e+08 2.7524134387137407e+08 2.7244796498662895e+08 2.6945392007329422e+08 2.6629648631131044e+08 2.6304661668519375e+08 2.5980938974467558e+08 2.5676034610875267e+08 2.5411324233270940e+08 2.5221018268302131e+08 2.5152503299360260e+08 2.5274818069922325e+08 2.5688260254263833e+08 2.6544829254765174e+08 2.8085108972534639e+08 3.0714977716863382e+08 1.0706269483392133e+08 +6.5836612204067579e+00 4.5784911114749926e+08 4.5780598570706421e+08 4.5773363199580514e+08 4.5764068220524621e+08 4.5755181688731074e+08 4.5750426686239165e+08 4.5751408701926601e+08 4.5755348291456074e+08 4.5759481771300566e+08 4.5763305438329542e+08 4.5767202823715669e+08 4.5771260726116228e+08 4.5775458457764041e+08 4.5779829345119047e+08 4.5784443517855084e+08 4.5789360539303309e+08 4.5794659189649987e+08 4.5800451154651004e+08 4.5806871300843155e+08 4.5814069205864525e+08 4.5822215225923777e+08 4.5831491021548259e+08 4.5842039801306617e+08 4.5854080279931962e+08 4.5868435807118225e+08 4.5885673855371857e+08 4.5905756518111187e+08 4.5928853397410744e+08 4.5955306445137644e+08 4.5985483408455169e+08 4.6019734740055984e+08 4.6058358777860576e+08 4.6101556345546854e+08 4.6149369014262539e+08 4.6201598173862559e+08 4.6257690610449535e+08 4.6316598336154866e+08 4.6376598604809046e+08 4.6435084399848962e+08 4.6488312774786168e+08 4.6533747157397658e+08 4.6558655770565170e+08 4.6552073652165121e+08 4.6500503740527993e+08 4.6388203235069764e+08 4.6197984646744412e+08 4.5912655918647206e+08 4.5517097258470839e+08 4.5000813321847171e+08 4.4360158647739124e+08 4.3599891448534977e+08 4.2735191323347366e+08 4.1790738012823337e+08 4.0794244473775786e+08 3.9775544505390656e+08 3.8763816345523942e+08 3.7783210409752589e+08 3.6852382446563625e+08 3.5983347607075202e+08 3.5184091352347267e+08 3.4456637096650004e+08 3.3801726458730322e+08 3.3216063062850803e+08 3.2697700586479902e+08 3.2241764753601938e+08 3.1843542746354723e+08 3.1499492874953383e+08 3.1204309802483600e+08 3.0952592853845221e+08 3.0740733407609355e+08 3.0563113934443080e+08 3.0416523803136438e+08 3.0296579427132833e+08 3.0199968150448740e+08 3.0121595240098655e+08 3.0056221273991960e+08 3.0000579633880150e+08 2.9951187560013598e+08 2.9904039704419470e+08 2.9870500211320883e+08 2.9836577792619461e+08 2.9801940532020688e+08 2.9765652260903651e+08 2.9728214428450841e+08 2.9688495803497040e+08 2.9648117506540883e+08 2.9603062932035154e+08 2.9554845884517199e+08 2.9502579344762236e+08 2.9445570669148505e+08 2.9382978166628927e+08 2.9313853661253625e+08 2.9236778156387919e+08 2.9152200252864277e+08 2.9056509799735141e+08 2.8949225653117162e+08 2.8828791308488190e+08 2.8693531699389184e+08 2.8541719415691763e+08 2.8371621770082462e+08 2.8181267853934318e+08 2.7971198671782929e+08 2.7737340422172117e+08 2.7480666098712814e+08 2.7201769388943821e+08 2.6902837766691643e+08 2.6587593062821767e+08 2.6263119370354539e+08 2.5939908060726041e+08 2.5635484922925022e+08 2.5371192623769727e+08 2.5181187231641367e+08 2.5112780601383695e+08 2.5234902230769324e+08 2.5647691447935039e+08 2.6502907662120515e+08 2.8040754991655225e+08 3.0666469991592479e+08 1.0677290161244404e+08 +6.5886295431810158e+00 4.5780955465489805e+08 4.5776642661151308e+08 4.5769406884689379e+08 4.5760110534924191e+08 4.5751221323112744e+08 4.5746461976652342e+08 4.5747437903585315e+08 4.5751369852546120e+08 4.5755494083722430e+08 4.5759306486643225e+08 4.5763190171528006e+08 4.5767231515836698e+08 4.5771409339732313e+08 4.5775756378131330e+08 4.5780342081934583e+08 4.5785225222841150e+08 4.5790483622724158e+08 4.5796227816755325e+08 4.5802591317298001e+08 4.5809722108556044e+08 4.5817788684112310e+08 4.5826970505410469e+08 4.5837407890466237e+08 4.5849314641117954e+08 4.5863507843717355e+08 4.5880551420646805e+08 4.5900404398655975e+08 4.5923231285370541e+08 4.5949367516210806e+08 4.5979173264943874e+08 4.6012990330362070e+08 4.6051107229344416e+08 4.6093713717947865e+08 4.6140839004589647e+08 4.6192270820977098e+08 4.6247441079678059e+08 4.6305285898455453e+08 4.6364065978588361e+08 4.6421157682510316e+08 4.6472802270548874e+08 4.6516307915069789e+08 4.6539041088434780e+08 4.6530033206096447e+08 4.6475795758010888e+08 4.6360610830177337e+08 4.6167335914939314e+08 4.5878846256670028e+08 4.5480110954243332e+08 4.4960740107888085e+08 4.4317200828903854e+08 4.3554358314784253e+08 4.2687475617404085e+08 4.1741280169525999e+08 4.0743498593577611e+08 3.9723940501182461e+08 3.8711729982112050e+08 3.7730948088181144e+08 3.6800176449674565e+08 3.5931362273102826e+08 3.5132430883181447e+08 3.4405361367704076e+08 3.3750859408001566e+08 3.3165606807883137e+08 3.2647638352010071e+08 3.2192071282755774e+08 3.1794187726108539e+08 3.1450441419555402e+08 3.1155528355313557e+08 3.0904050417071980e+08 3.0692399520700008e+08 3.0514963425024170e+08 3.0368532048468524e+08 3.0248725213080347e+08 3.0152231513708490e+08 3.0073960337687814e+08 3.0008677347313344e+08 2.9953117325048739e+08 2.9903800294156581e+08 2.9856725853414643e+08 2.9823239155998379e+08 2.9789370320344138e+08 2.9754787851261497e+08 2.9718557013164461e+08 2.9681178442074084e+08 2.9641522816632068e+08 2.9601208060064781e+08 2.9556224801779974e+08 2.9508084073920488e+08 2.9455900260698766e+08 2.9398981814373523e+08 2.9336488375570953e+08 2.9267473268526924e+08 2.9190519866702712e+08 2.9106075440822285e+08 2.9010536418629718e+08 2.8903422046095538e+08 2.8783178281407428e+08 2.8648132708406681e+08 2.8496560649988335e+08 2.8326732160276932e+08 2.8136679569547009e+08 2.7926942429535961e+08 2.7693454218724334e+08 2.7437186033332199e+08 2.7158730621667784e+08 2.6860271996435308e+08 2.6545526099825928e+08 2.6221565816478655e+08 2.5898866029010960e+08 2.5594924249112734e+08 2.5331050141525516e+08 2.5141345403529149e+08 2.5073047140525058e+08 2.5194975576242748e+08 2.5607111649489474e+08 2.6460974710987240e+08 2.7996388992453986e+08 3.0617949125179029e+08 1.0648371451305316e+08 +6.5935978659552736e+00 4.5776743726270795e+08 4.5772430541347796e+08 4.5765194163856286e+08 4.5755896638030028e+08 4.5747004807762390e+08 4.5742241151670855e+08 4.5743210990257144e+08 4.5747135286895370e+08 4.5751250259550345e+08 4.5755051393913746e+08 4.5758921376654541e+08 4.5762946165459579e+08 4.5767104088648570e+08 4.5771427290701371e+08 4.5775984544091505e+08 4.5780833830188388e+08 4.5786052013373059e+08 4.5791748479711044e+08 4.5798055388744736e+08 4.5805119132975453e+08 4.5813106345463020e+08 4.5822194291207492e+08 4.5832520401777130e+08 4.5844293573162907e+08 4.5858324634015447e+08 4.5875173959597033e+08 4.5894797516035891e+08 4.5917354724877983e+08 4.5943174515290540e+08 4.5972609499797744e+08 4.6005992838436657e+08 4.6043603245225543e+08 4.6085619430961341e+08 4.6132058268620968e+08 4.6182693865343016e+08 4.6236943300999123e+08 4.6293726849006653e+08 4.6351288718749619e+08 4.6406988724452579e+08 4.6457052420070904e+08 4.6498633111331308e+08 4.6519195469185615e+08 4.6507767444882452e+08 4.6450869243862027e+08 4.6332807992239285e+08 4.6136486282872427e+08 4.5844846715292871e+08 4.5442947233938801e+08 4.4920503210080594e+08 4.4274094014793116e+08 4.3508691392705494e+08 4.2639641335393608e+08 4.1691718448835713e+08 4.0692662563027632e+08 3.9672258771211362e+08 3.8659576834103245e+08 3.7678628403002018e+08 3.6747921064733285e+08 3.5879334225259572e+08 3.5080733250033760e+08 3.4354053075984013e+08 3.3699963609965199e+08 3.3115124971463132e+08 3.2597553168171984e+08 3.2142357050574648e+08 3.1744813760348642e+08 3.1401372521314979e+08 3.1106730697995663e+08 3.0855492769936353e+08 3.0644051221865296e+08 3.0466799124255544e+08 3.0320526972497219e+08 3.0200858019293368e+08 3.0104482134257090e+08 3.0026312849281657e+08 2.9961120931244844e+08 2.9905642585636991e+08 2.9856400635460663e+08 2.9809399635694015e+08 2.9775965749284637e+08 2.9742150511193824e+08 2.9707622848092198e+08 2.9671449457897472e+08 2.9634130163489127e+08 2.9594537553127682e+08 2.9554286355547732e+08 2.9509374431914699e+08 2.9461310043488765e+08 2.9409208978260535e+08 2.9352380784610832e+08 2.9289986435239148e+08 2.9221080754960179e+08 2.9144249487185097e+08 2.9059938575785881e+08 2.8964551023908299e+08 2.8857606469709587e+08 2.8737553334590697e+08 2.8602721853426856e+08 2.8451390082909334e+08 2.8281830819293374e+08 2.8092079631878799e+08 2.7882674622613406e+08 2.7649556547145307e+08 2.7393694605818379e+08 2.7115680607418144e+08 2.6817695102670461e+08 2.6503448143544254e+08 2.6180001403316340e+08 2.5857813270935920e+08 2.5554352976422313e+08 2.5290897169538859e+08 2.5101493164058834e+08 2.5033303295890906e+08 2.5155038487285036e+08 2.5566521246088639e+08 2.6419030801432264e+08 2.7952011398230934e+08 3.0569415580523330e+08 1.0619513311658990e+08 +6.5985661887295315e+00 4.5772276064603782e+08 4.5767962984449762e+08 4.5760725985686177e+08 4.5751427305615926e+08 4.5742532907943469e+08 4.5737764972166467e+08 4.5738728724060273e+08 4.5742645357128751e+08 4.5746751061532307e+08 4.5750540923123729e+08 4.5754397202214730e+08 4.5758405438344139e+08 4.5762543468163067e+08 4.5766842846749526e+08 4.5771371668545043e+08 4.5776187125949287e+08 4.5781365126763195e+08 4.5787013909140813e+08 4.5793264281338793e+08 4.5800261045993578e+08 4.5808168977745515e+08 4.5817163147761893e+08 4.5827378105175894e+08 4.5839017847345740e+08 4.5852886950985545e+08 4.5869542247245198e+08 4.5888936647556335e+08 4.5911224496032232e+08 4.5936728225633585e+08 4.5965792900168169e+08 4.5998743055753845e+08 4.6035847621988469e+08 4.6077274286892664e+08 4.6123027615337163e+08 4.6172868123523706e+08 4.6226198099706465e+08 4.6281922022939765e+08 4.6338267671310890e+08 4.6392578383892065e+08 4.6441064094693643e+08 4.6480723632809263e+08 4.6499119815558493e+08 4.6485277287658644e+08 4.6425725132992482e+08 4.6304795670312494e+08 4.6105436711031431e+08 4.5810658262072796e+08 4.5405607066282427e+08 4.4880103591153783e+08 4.4230839154044276e+08 4.3462891608578891e+08 4.2591689373934245e+08 4.1642053711704671e+08 4.0641737203629351e+08 3.9620500095819700e+08 3.8607357641125810e+08 3.7626252055022490e+08 3.6695616956816894e+08 3.5827264096442837e+08 3.5028999057381219e+08 3.4302712801073021e+08 3.3649039622645164e+08 3.3064618092953390e+08 3.2547445558349907e+08 3.2092622566912764e+08 3.1695421347305107e+08 3.1352286668752652e+08 3.1057917310893387e+08 3.0806920385953224e+08 3.0595688979013854e+08 3.0418621495596230e+08 3.0272509035123777e+08 3.0152978302874422e+08 3.0056720467085487e+08 2.9978653228231913e+08 2.9913552477959585e+08 2.9858155866880530e+08 2.9808989034339297e+08 2.9762061500875831e+08 2.9728680440387338e+08 2.9694918813879740e+08 2.9660445970594209e+08 2.9624330042657286e+08 2.9587070039711690e+08 2.9547540459415329e+08 2.9507352838777614e+08 2.9462512267587149e+08 2.9414524237648207e+08 2.9362505941058820e+08 2.9305768022638142e+08 2.9243472787492228e+08 2.9174676561333513e+08 2.9097967457485604e+08 2.9013790096118158e+08 2.8918554052539694e+08 2.8811779359199899e+08 2.8691916901505530e+08 2.8557299565937823e+08 2.8406208143632913e+08 2.8236918173764580e+08 2.8047468464663666e+08 2.7838395671683514e+08 2.7605647824590617e+08 2.7350192229429346e+08 2.7072619755253059e+08 2.6775107489953083e+08 2.6461359593749407e+08 2.6138426525760072e+08 2.5816750176508138e+08 2.5513771490309647e+08 2.5250734089276364e+08 2.5061630891903746e+08 2.4993549445071933e+08 2.5115091343351382e+08 2.5525920623376915e+08 2.6377076331987691e+08 2.7907622630594385e+08 3.0520869818774575e+08 1.0590715699938884e+08 +6.6035345115037893e+00 4.5767554025036526e+08 4.5763240750923640e+08 4.5756003172658616e+08 4.5746703278938681e+08 4.5737806385422277e+08 4.5733034199420315e+08 4.5733991868096101e+08 4.5737900826570654e+08 4.5741997253294444e+08 4.5745775838003308e+08 4.5749618412257719e+08 4.5753610098742056e+08 4.5757728242697859e+08 4.5762003810963082e+08 4.5766504220356357e+08 4.5771285875564533e+08 4.5776423728711283e+08 4.5782024871451390e+08 4.5788218762169284e+08 4.5795148615456164e+08 4.5802977349527925e+08 4.5811877844588161e+08 4.5821981771445197e+08 4.5833488235832280e+08 4.5847195568468213e+08 4.5863657059353173e+08 4.5882822571385139e+08 4.5904841379712939e+08 4.5930029431373358e+08 4.5958724253833902e+08 4.5991241774422401e+08 4.6027841156815279e+08 4.6068679088635308e+08 4.6113747854355615e+08 4.6162794412700844e+08 4.6215206301581281e+08 4.6269872255686641e+08 4.6325003682651740e+08 4.6377927519121093e+08 4.6424838165908086e+08 4.6462580366121715e+08 4.6478815030055743e+08 4.6462563653010088e+08 4.6400364359680390e+08 4.6276574812783152e+08 4.6074188158973557e+08 4.5776281863363826e+08 4.5368091418548077e+08 4.4839542212077528e+08 4.4187437193317914e+08 4.3416959886742908e+08 4.2543620627434325e+08 4.1592286816885906e+08 4.0590723334511775e+08 3.9568665253010827e+08 3.8555073140452152e+08 3.7573819742782104e+08 3.6643264788768524e+08 3.5775152517393649e+08 3.4977228907457280e+08 3.4251341120376712e+08 3.3598088001932085e+08 3.3014086709723169e+08 3.2497316044034684e+08 3.2042868339642763e+08 3.1646010983350354e+08 3.1303184348428988e+08 3.1009088672380382e+08 3.0758333736796439e+08 3.0547313258316165e+08 3.0370431000648230e+08 3.0224478694360375e+08 3.0105086519107467e+08 3.0008946965312946e+08 2.9930981926154315e+08 2.9865972437795746e+08 2.9810657618192381e+08 2.9761565939411646e+08 2.9714711896905106e+08 2.9681383676692009e+08 2.9647675675264823e+08 2.9613257665153533e+08 2.9577199213316131e+08 2.9539998516030222e+08 2.9500531980169410e+08 2.9460407953820157e+08 2.9415638752201849e+08 2.9367727099049515e+08 2.9315791590993237e+08 2.9259143969487548e+08 2.9196947872394419e+08 2.9128261126706624e+08 2.9051674215506601e+08 2.8967630438462383e+08 2.8872545939692867e+08 2.8765941148228961e+08 2.8646269413966542e+08 2.8511866275697386e+08 2.8361015259654516e+08 2.8191994648611832e+08 2.8002846490027541e+08 2.7794105995658875e+08 2.7561728466436476e+08 2.7306679315723723e+08 2.7029548472582603e+08 2.6732509561201155e+08 2.6419260848683569e+08 2.6096841577202320e+08 2.5775677134274796e+08 2.5473180174769416e+08 2.5210561280761939e+08 2.5021758964210212e+08 2.4953785964225185e+08 2.5075134522397357e+08 2.5485310165519756e+08 2.6335111699592069e+08 2.7863223109580272e+08 3.0472312299212080e+08 1.0561978573330867e+08 +6.6085028342780472e+00 4.5762577646223837e+08 4.5758264121925294e+08 4.5751026225606239e+08 4.5741725279776925e+08 4.5732825998352170e+08 4.5728049595768648e+08 4.5729001186244023e+08 4.5732902459499770e+08 4.5736989599233520e+08 4.5740756903146720e+08 4.5744585771548641e+08 4.5748560911636084e+08 4.5752659177509677e+08 4.5756910948939204e+08 4.5761382965479630e+08 4.5766130845319051e+08 4.5771228585967040e+08 4.5776782133887976e+08 4.5782919599057060e+08 4.5789782609799153e+08 4.5797532230197948e+08 4.5806339152124327e+08 4.5816332172075844e+08 4.5827705511469722e+08 4.5841251260950226e+08 4.5857519172423458e+08 4.5876456066418099e+08 4.5898206157536668e+08 4.5923078917284036e+08 4.5951404349247843e+08 4.5983489787293345e+08 4.6019584647458667e+08 4.6059834639710152e+08 4.6104219795700747e+08 4.6152473550526017e+08 4.6203968732805973e+08 4.6257578383120316e+08 4.6311497599360442e+08 4.6363036988720161e+08 4.6408375505254900e+08 4.6444204197817677e+08 4.6458282015053439e+08 4.6439627459328556e+08 4.6374787857701147e+08 4.6248146367291433e+08 4.6042741585246176e+08 4.5741718484252447e+08 4.5330401256559771e+08 4.4798820032155037e+08 4.4143889077446806e+08 4.3370897149286091e+08 4.2495435988085526e+08 4.1542418620742071e+08 4.0539621772503179e+08 3.9516755018398201e+08 3.8502724066926509e+08 3.7521332162475431e+08 3.6590865221166664e+08 3.5723000116565454e+08 3.4925423400462186e+08 3.4199938609323472e+08 3.3547109301763743e+08 3.2963531357206368e+08 3.2447165144741893e+08 3.1993094874719459e+08 3.1596583162915486e+08 3.1254066045114213e+08 3.0960245259122986e+08 3.0709733292282403e+08 3.0498924523973411e+08 3.0322228099229795e+08 3.0176436406501406e+08 3.0057183121481436e+08 2.9961162080416650e+08 2.9883299392863637e+08 2.9818381259384614e+08 2.9763148287261039e+08 2.9714131797572768e+08 2.9667351269906974e+08 2.9634075903833765e+08 2.9600421540495127e+08 2.9566058376382130e+08 2.9530057413914031e+08 2.9492916035957396e+08 2.9453512558345860e+08 2.9413452143003041e+08 2.9368754327385378e+08 2.9320919068631345e+08 2.9269066368194222e+08 2.9212509064489073e+08 2.9150412128326893e+08 2.9081834888441312e+08 2.9005370197462374e+08 2.8921460037723291e+08 2.8826527118873429e+08 2.8720092268669283e+08 2.8600611302069384e+08 2.8466422410774726e+08 2.8315811856820536e+08 2.8147060667117488e+08 2.7958214128433055e+08 2.7749806011836398e+08 2.7517798886551052e+08 2.7263156274714488e+08 2.6986467165222049e+08 2.6689901717806825e+08 2.6377152304997879e+08 2.6055246949483952e+08 2.5734594531251240e+08 2.5432579412237877e+08 2.5170379122525245e+08 2.4981877756653163e+08 2.4914013228013751e+08 2.5035168400925657e+08 2.5444690255165568e+08 2.6293137299660158e+08 2.7818813253524184e+08 3.0423743479360163e+08 1.0533301888576309e+08 +6.6134711570523050e+00 4.5757347918415362e+08 4.5753034353693324e+08 4.5745796196844906e+08 4.5736494103107542e+08 4.5727592505199873e+08 4.5722811924833304e+08 4.5723757443327874e+08 4.5727651020955127e+08 4.5731728864537477e+08 4.5735484883966672e+08 4.5739300045757920e+08 4.5743258642809677e+08 4.5747337038711238e+08 4.5751565027011293e+08 4.5756008670475835e+08 4.5760722802229428e+08 4.5765780465989357e+08 4.5771286464417899e+08 4.5777367560586089e+08 4.5784163798367918e+08 4.5791834389903003e+08 4.5800547841392022e+08 4.5810430079289460e+08 4.5821670447899228e+08 4.5835054803717089e+08 4.5851129363730270e+08 4.5869837912139863e+08 4.5891319611745018e+08 4.5915877468779635e+08 4.5943833975570029e+08 4.5975487887662083e+08 4.6011078892251045e+08 4.6050741744226444e+08 4.6094444250034004e+08 4.6141906355077648e+08 4.6192486219975579e+08 4.6245041241426384e+08 4.6297750268346232e+08 4.6347907651452911e+08 4.6391676984408814e+08 4.6425596014438659e+08 4.6437521672631675e+08 4.6416469624552828e+08 4.6348996560248250e+08 4.6219511280672956e+08 4.6011097947422063e+08 4.5706969088692421e+08 4.5292537544638503e+08 4.4757938009037048e+08 4.4100195749391860e+08 4.3324704316401577e+08 4.2447136345888883e+08 4.1492449977323973e+08 4.0488433332034004e+08 3.9464770165243429e+08 3.8450311153143305e+08 3.7468790007979143e+08 3.6538418912259239e+08 3.5670807520237195e+08 3.4873583134334278e+08 3.4148505841168678e+08 3.3496104073934621e+08 3.2912952568760037e+08 3.2396993378028864e+08 3.1943302676225293e+08 3.1547138378568226e+08 3.1204932241667223e+08 3.0911387545794678e+08 3.0661119520422256e+08 3.0450523238546437e+08 3.0274013249366063e+08 3.0128382626020706e+08 3.0009268561730385e+08 2.9913366261977035e+08 2.9835606076440150e+08 2.9770779389612043e+08 2.9715628319988543e+08 2.9666687053940934e+08 2.9619980064298648e+08 2.9586757565706420e+08 2.9553156852948862e+08 2.9518848547163403e+08 2.9482905086804628e+08 2.9445823041273481e+08 2.9406482635092908e+08 2.9366485846917373e+08 2.9321859433054727e+08 2.9274100585604954e+08 2.9222330711099619e+08 2.9165863745159942e+08 2.9103865991950923e+08 2.9035398282131863e+08 2.8959055837815702e+08 2.8875279327140063e+08 2.8780498021896046e+08 2.8674233150718325e+08 2.8554942994215649e+08 2.8420968397599781e+08 2.8270598359261644e+08 2.8102116650915587e+08 2.7913571798646277e+08 2.7705496135901475e+08 2.7473859497078508e+08 2.7219623514770055e+08 2.6943376237430382e+08 2.6647284359534141e+08 2.6335034357776511e+08 2.6013643032831070e+08 2.5693502752900058e+08 2.5391969583670557e+08 2.5130187991572446e+08 2.4941987643440053e+08 2.4874231609623620e+08 2.4995193353947389e+08 2.5404061273432797e+08 2.6251153526018402e+08 2.7774393479128283e+08 3.0375163814962810e+08 1.0504685601975130e+08 +6.6184394798265629e+00 4.5751866067020631e+08 4.5747551978639287e+08 4.5740313728288484e+08 4.5731010549229407e+08 4.5722106670215034e+08 4.5717321951950169e+08 4.5718261404971927e+08 4.5722147276731473e+08 4.5726215815203679e+08 4.5729960546571541e+08 4.5733762001184058e+08 4.5737704058850002e+08 4.5741762593069649e+08 4.5745966812254858e+08 4.5750382102837378e+08 4.5755062514132017e+08 4.5760080137065572e+08 4.5765538631818134e+08 4.5771563416109377e+08 4.5778292951253366e+08 4.5785884599539351e+08 4.5794504684296077e+08 4.5804276266157621e+08 4.5815383819449449e+08 4.5828606972760510e+08 4.5844488411207014e+08 4.5862968888871562e+08 4.5884182525314033e+08 4.5908425871985501e+08 4.5936013922558373e+08 4.5967236869663244e+08 4.6002324690167278e+08 4.6041401206727314e+08 4.6084422028488785e+08 4.6131093644918048e+08 4.6180759590091729e+08 4.6232261667150277e+08 4.6283762536744112e+08 4.6332540366166055e+08 4.6374743475006247e+08 4.6406756702482688e+08 4.6416534904770017e+08 4.6393091066257471e+08 4.6322991400017864e+08 4.6190670498973918e+08 4.5979258202081132e+08 4.5672034639314038e+08 4.5254501245685869e+08 4.4716897098649883e+08 4.4056358150064623e+08 4.3278382306060457e+08 4.2398722588604474e+08 4.1442381738442069e+08 4.0437158825156647e+08 3.9412711464445454e+08 3.8397835129249126e+08 3.7416193970859879e+08 3.6485926518068844e+08 3.5618575352482343e+08 3.4821708704896361e+08 3.4097043387039793e+08 3.3445072868241340e+08 3.2862350875753599e+08 3.2346801259490067e+08 3.1893492246255976e+08 3.1497677120951909e+08 3.1155783419077599e+08 3.0862516005357265e+08 3.0612492887429017e+08 3.0402109862682933e+08 3.0225786907273006e+08 3.0080317805621886e+08 2.9961343289815742e+08 2.9865559957893634e+08 2.9787902423146033e+08 2.9723167273544455e+08 2.9668098160521919e+08 2.9619232151886111e+08 2.9572598722703844e+08 2.9539429104472280e+08 2.9505882054274815e+08 2.9471628618618917e+08 2.9435742672567719e+08 2.9398719971992290e+08 2.9359442649880999e+08 2.9319509504412645e+08 2.9274954507408404e+08 2.9227272087432152e+08 2.9175585056410855e+08 2.9119208447405559e+08 2.9057309898171908e+08 2.8988951741706777e+08 2.8912731569332790e+08 2.8829088738196772e+08 2.8734459078824502e+08 2.8628364222880125e+08 2.8509264917158359e+08 2.8375504660869110e+08 2.8225375189458334e+08 2.8057163019956148e+08 2.7868919917832601e+08 2.7661176781862336e+08 2.7429910708624369e+08 2.7176081442654830e+08 2.6900276091833520e+08 2.6604657884605676e+08 2.6292907400612140e+08 2.5972030216072506e+08 2.5652402183197111e+08 2.5351351068519935e+08 2.5089988263471544e+08 2.4902088997305265e+08 2.4834441480772987e+08 2.4955209754965582e+08 2.5363423599981391e+08 2.6209160771002841e+08 2.7729964201453400e+08 3.0326573759924841e+08 1.0476129669388860e+08 +6.6234078026008207e+00 4.5746132275911450e+08 4.5741818213910306e+08 4.5734579411280376e+08 4.5725275381384504e+08 4.5716369264776933e+08 4.5711580443964940e+08 4.5712513837636399e+08 4.5716391993426847e+08 4.5720451217982370e+08 4.5724184657888013e+08 4.5727972404953450e+08 4.5731897927063775e+08 4.5735936608203089e+08 4.5740117072476798e+08 4.5744504030697381e+08 4.5749150749535716e+08 4.5754128368138099e+08 4.5759539405587524e+08 4.5765507935761732e+08 4.5772170839225572e+08 4.5779683630742025e+08 4.5788210453416079e+08 4.5797871506314188e+08 4.5808846401196200e+08 4.5821908544765347e+08 4.5837597093524373e+08 4.5855849777538681e+08 4.5876795681914139e+08 4.5900724913685095e+08 4.5927944980654204e+08 4.5958737527848864e+08 4.5993322840690595e+08 4.6031813832401931e+08 4.6074153942641670e+08 4.6120036239053798e+08 4.6168789670541412e+08 4.6219240497063428e+08 4.6269535251995653e+08 4.6316935991926813e+08 4.6357575848857057e+08 4.6387687148255831e+08 4.6395322613181376e+08 4.6369492701650321e+08 4.6296773309011477e+08 4.6161624967508596e+08 4.5947223304738915e+08 4.5636916097568876e+08 4.5216293321124011e+08 4.4675698255167878e+08 4.4012377218597120e+08 4.3231932034217584e+08 4.2350195601755434e+08 4.1392214753511643e+08 4.0385799061578113e+08 3.9360579684442210e+08 3.8345296723138535e+08 3.7363544740333867e+08 3.6433388692353290e+08 3.5566304235175681e+08 3.4769800705868018e+08 3.4045551815961552e+08 3.3394016232465899e+08 3.2811726807590717e+08 3.2296589302765453e+08 3.1843664085008740e+08 3.1448199878882051e+08 3.1106620056496137e+08 3.0813631108857507e+08 3.0563853857612294e+08 3.0353684855252558e+08 3.0177549527407837e+08 3.0032242396186757e+08 2.9913407753900552e+08 2.9817743614274627e+08 2.9740188877507865e+08 2.9675545354535335e+08 2.9620558251269877e+08 2.9571767532990479e+08 2.9525207686047924e+08 2.9492090960508883e+08 2.9458597584369248e+08 2.9424399030132282e+08 2.9388570610077345e+08 2.9351607266421115e+08 2.9312393040430367e+08 2.9272523552588034e+08 2.9228039986906910e+08 2.9180434009852064e+08 2.9128829839100152e+08 2.9072543605352753e+08 2.9010744280219954e+08 2.8942495699325889e+08 2.8866397823069715e+08 2.8782888700697345e+08 2.8688410718068898e+08 2.8582485911968207e+08 2.8463577495883024e+08 2.8330031623663175e+08 2.8180142768198514e+08 2.8012200192531216e+08 2.7824258901461226e+08 2.7616848362134343e+08 2.7385952930110019e+08 2.7132530463539958e+08 2.6857167129484528e+08 2.6562022689678639e+08 2.6250771825466675e+08 2.5930408886354649e+08 2.5611293204612800e+08 2.5310724244736052e+08 2.5049780312249461e+08 2.4862182189516714e+08 2.4794643211723831e+08 2.4915217976056141e+08 2.5322777612945276e+08 2.6167159425330305e+08 2.7685525833916664e+08 3.0277973766331315e+08 1.0447634046243703e+08 +6.6283761253750786e+00 4.5740147117007190e+08 4.5735833208511227e+08 4.5728594253330666e+08 4.5719289349676228e+08 4.5710381062868828e+08 4.5705588169166881e+08 4.5706515508523178e+08 4.5710385938493031e+08 4.5714435840349877e+08 4.5718157985498446e+08 4.5721932025007015e+08 4.5725841015557152e+08 4.5729859852348429e+08 4.5734016576374876e+08 4.5738375222980094e+08 4.5742988277757633e+08 4.5747925928964633e+08 4.5753289555968678e+08 4.5759201890329790e+08 4.5765798233809823e+08 4.5773232255773586e+08 4.5781665922023863e+08 4.5791216574240762e+08 4.5802058968933988e+08 4.5814960297153544e+08 4.5830456190006995e+08 4.5848481359738475e+08 4.5869159865719295e+08 4.5892775381214494e+08 4.5919627940763837e+08 4.5949990657431847e+08 4.5984074143906021e+08 4.6021980426900238e+08 4.6063640804602796e+08 4.6108734956895077e+08 4.6156577289087772e+08 4.6205978568370897e+08 4.6255069261700219e+08 4.6301095387921667e+08 4.6340174977690852e+08 4.6368388238053823e+08 4.6373885699273384e+08 4.6345675447520053e+08 4.6270343218728632e+08 4.6132375630749625e+08 4.5914994209978056e+08 4.5601614423605633e+08 4.5177914730814397e+08 4.4634342431186348e+08 4.3968253892137575e+08 4.3185354414753395e+08 4.2301556268710655e+08 4.1341949869707721e+08 4.0334354848628074e+08 3.9308375591407377e+08 3.8292696660228235e+08 3.7310843003383386e+08 3.6380806086606562e+08 3.5513994787933469e+08 3.4717859728737050e+08 3.3994031694985813e+08 3.3342934712281030e+08 3.2761080891656232e+08 3.2246358019537878e+08 3.1793818690768689e+08 3.1398707139258504e+08 3.1057442631195223e+08 3.0764733325494456e+08 3.0515202893559098e+08 3.0305248673310095e+08 3.0129301562368160e+08 2.9984156846868086e+08 2.9865462400368279e+08 2.9769917675394732e+08 2.9692465882321090e+08 2.9627914074168003e+08 2.9573009032850343e+08 2.9524293637147290e+08 2.9477807393455333e+08 2.9444743572490025e+08 2.9411303881367880e+08 2.9377160219338995e+08 2.9341389336403656e+08 2.9304485361143768e+08 2.9265334242707437e+08 2.9225528426830804e+08 2.9181116306226158e+08 2.9133586786871940e+08 2.9082065492405468e+08 2.9025869651355600e+08 2.8964169569561011e+08 2.8896030585481739e+08 2.8820055028362590e+08 2.8736679642766660e+08 2.8642353366325545e+08 2.8536598643104917e+08 2.8417881153787667e+08 2.8284549707302463e+08 2.8134901514647651e+08 2.7967228585289711e+08 2.7779589163378680e+08 2.7572511287446809e+08 2.7341986568848157e+08 2.7088970980954438e+08 2.6814049749823698e+08 2.6519379169816849e+08 2.6208628022793034e+08 2.5888779429375336e+08 2.5570176198015144e+08 2.5270089488792899e+08 2.5009564510479748e+08 2.4822267589830989e+08 2.4754837171224335e+08 2.4875218387771019e+08 2.5282123688940436e+08 2.6125149878192991e+08 2.7641078788296825e+08 3.0229364284545362e+08 1.0419198687533532e+08 +6.6333444481493364e+00 4.5733912253819501e+08 4.5729598196708298e+08 4.5722359098782235e+08 4.5713053243922704e+08 4.5704142835430408e+08 4.5699345896733326e+08 4.5700267185660672e+08 4.5704129880084950e+08 4.5708170450548750e+08 4.5711881297778440e+08 4.5715641629874706e+08 4.5719534093076390e+08 4.5723533094588774e+08 4.5727666093158549e+08 4.5731996449342597e+08 4.5736575868786263e+08 4.5741473589967722e+08 4.5746789853905094e+08 4.5752646051369023e+08 4.5759175907233220e+08 4.5766531247735143e+08 4.5774871864141232e+08 4.5784312245006549e+08 4.5795022299049222e+08 4.5807763007935297e+08 4.5823066480607957e+08 4.5840864417726183e+08 4.5861275861711115e+08 4.5884578062561363e+08 4.5911063594550008e+08 4.5940997054158562e+08 4.5974579400367641e+08 4.6011901796343195e+08 4.6052883426887673e+08 4.6097190618278235e+08 4.6144123273865682e+08 4.6192476718468922e+08 4.6240365413633943e+08 4.6285019413455319e+08 4.6322541733336109e+08 4.6348860858056819e+08 4.6352225064282376e+08 4.6321640220201772e+08 4.6243702060000134e+08 4.6102923432272977e+08 4.5882571871246284e+08 4.5566130576306278e+08 4.5139366433232135e+08 4.4592830577372861e+08 4.3923989105926687e+08 4.3138650359331161e+08 4.2252805470493627e+08 4.1291587931743258e+08 4.0282826991310281e+08 3.9256099949039644e+08 3.8240035663633031e+08 3.7258089444575453e+08 3.6328179350041455e+08 3.5461647628204340e+08 3.4665886362882203e+08 3.3942483588953769e+08 3.3291828851367640e+08 3.2710413653304273e+08 3.2196107919533682e+08 3.1743956559858811e+08 3.1349199387000453e+08 3.1008251618573117e+08 3.0715823122685957e+08 3.0466540455935675e+08 3.0256801772128677e+08 3.0081043463003534e+08 2.9936061604969352e+08 2.9817507673861063e+08 2.9722082583886278e+08 2.9644733878591007e+08 2.9580273872231245e+08 2.9525450944196713e+08 2.9476810902448475e+08 2.9430398282312536e+08 2.9397387377267134e+08 2.9364001381688523e+08 2.9329912622138959e+08 2.9294199286935133e+08 2.9257354690961963e+08 2.9218266690975267e+08 2.9178524560794830e+08 2.9134183898391658e+08 2.9086730850767285e+08 2.9035292447811615e+08 2.8979187016142905e+08 2.8917586195986164e+08 2.8849556828946728e+08 2.8773703612857068e+08 2.8690461990764880e+08 2.8596287448533028e+08 2.8490702839706033e+08 2.8372176312483656e+08 2.8239059331454986e+08 2.8089651846224397e+08 2.7922248613193536e+08 2.7734911115790659e+08 2.7528165966932017e+08 2.7298012030558515e+08 2.7045403396845627e+08 2.6770924350726214e+08 2.6476727718496963e+08 2.6166476381462535e+08 2.5847142229280928e+08 2.5529051542873731e+08 2.5229447175627556e+08 2.4969341229297626e+08 2.4782345566594130e+08 2.4715023726638746e+08 2.4835211359231487e+08 2.5241462203121269e+08 2.6083132517246759e+08 2.7596623474746227e+08 3.0180745763132703e+08 1.0390823547822952e+08 +6.6383127709235943e+00 4.5727428025643235e+08 4.5723113719540912e+08 4.5715874510360229e+08 4.5706567842608494e+08 4.5697655348966449e+08 4.5692854396264499e+08 4.5693769637752306e+08 4.5697624587174439e+08 4.5701655817441046e+08 4.5705355363791478e+08 4.5709101988837814e+08 4.5712977929134595e+08 4.5716957104663515e+08 4.5721066392841697e+08 4.5725368480046219e+08 4.5729914293345785e+08 4.5734772122287160e+08 4.5740041070995986e+08 4.5745841191023976e+08 4.5752304632403457e+08 4.5759581380353242e+08 4.5767829054454488e+08 4.5777159294405341e+08 4.5787737168693560e+08 4.5800317455800182e+08 4.5815428745921391e+08 4.5832999734354174e+08 4.5853144455353475e+08 4.5876133746325499e+08 4.5902252734126985e+08 4.5931757514343840e+08 4.5964839411176944e+08 4.6001578747378767e+08 4.6041882622500002e+08 4.6085404043411261e+08 4.6131428453245229e+08 4.6178735785037518e+08 4.6225424555859530e+08 4.6268708927929813e+08 4.6304676987526143e+08 4.6329105894323200e+08 4.6330341609095985e+08 4.6297387935585356e+08 4.6216850763040090e+08 4.6073269314983153e+08 4.5849957240978962e+08 4.5530465513324583e+08 4.5100649385184467e+08 4.4551163642816573e+08 4.3879583793293071e+08 4.3091820777578741e+08 4.2203944085930985e+08 4.1241129782186443e+08 4.0231216292206562e+08 3.9203753518739796e+08 3.8187314454114538e+08 3.7205284746165365e+08 3.6275509129602373e+08 3.5409263371208298e+08 3.4613881195524973e+08 3.3890908060667038e+08 3.3240699191299063e+08 3.2659725615937543e+08 3.2145839510526586e+08 3.1694078186766964e+08 3.1299677105310410e+08 3.0959047492164671e+08 3.0666900965979254e+08 3.0417867003671974e+08 3.0208344605143255e+08 3.0032775678373730e+08 2.9887957116108024e+08 2.9769544017238033e+08 2.9674238780498111e+08 2.9596993305552733e+08 2.9532625186821228e+08 2.9477884422409052e+08 2.9429319765263045e+08 2.9382980788308543e+08 2.9350022810045552e+08 2.9316690519984138e+08 2.9282656672701216e+08 2.9247000895309097e+08 2.9210215688938761e+08 2.9171190817685419e+08 2.9131512386370337e+08 2.9087243194633001e+08 2.9039866632107234e+08 2.8988511135164809e+08 2.8932496128687286e+08 2.8870994587518132e+08 2.8803074856738216e+08 2.8727344002468204e+08 2.8644236169391060e+08 2.8550213388077134e+08 2.8444798923505443e+08 2.8326463391994095e+08 2.8193560914207709e+08 2.8044394178748649e+08 2.7877260689588046e+08 2.7690225169225866e+08 2.7483812808056259e+08 2.7254029719323778e+08 2.7001828111580497e+08 2.6727791328481022e+08 2.6434068727636990e+08 2.6124317288800824e+08 2.5805497668644589e+08 2.5487919617072040e+08 2.5188797678702876e+08 2.4929110838245994e+08 2.4742416486610630e+08 2.4675203243765566e+08 2.4795197258044249e+08 2.5200793529132199e+08 2.6041107728585061e+08 2.7552160301759905e+08 3.0132118648791891e+08 1.0362508581250288e+08 +6.6432810936978521e+00 4.5720694865466654e+08 4.5716380426636350e+08 4.5709141303266448e+08 4.5699833902273601e+08 4.5690919367498440e+08 4.5686114437348753e+08 4.5687023634341973e+08 4.5690870829436648e+08 4.5694892710643160e+08 4.5698580953270942e+08 4.5702313871912795e+08 4.5706173293912113e+08 4.5710132652955323e+08 4.5714218246178979e+08 4.5718492086155063e+08 4.5723004322790253e+08 4.5727822297700942e+08 4.5733043979601437e+08 4.5738788082306129e+08 4.5745185182893622e+08 4.5752383427952600e+08 4.5760538268194360e+08 4.5769758498841065e+08 4.5780204355558574e+08 4.5792624420123661e+08 4.5807543767243528e+08 4.5824888093136460e+08 4.5844766432759595e+08 4.5867443221647114e+08 4.5893196152231592e+08 4.5922272834846419e+08 4.5954854977922338e+08 4.5991012087106019e+08 4.6030639204777759e+08 4.6073376052898943e+08 4.6118493655973679e+08 4.6164756606017417e+08 4.6210247536529738e+08 4.6252164790795761e+08 4.6286581612076491e+08 4.6309124232687277e+08 4.6308236234351903e+08 4.6272919509119833e+08 4.6189790257397830e+08 4.6043414220852739e+08 4.5817151270559108e+08 4.5494620190894324e+08 4.5061764542075861e+08 4.4509342574794996e+08 4.3835038885493279e+08 4.3044866577113920e+08 4.2154972991638279e+08 4.1190576261138070e+08 4.0179523551502717e+08 3.9151337059443086e+08 3.8134533750072247e+08 3.7152429588179308e+08 3.6222796069954944e+08 3.5356842629974270e+08 3.4561844811751300e+08 3.3839305670750070e+08 3.3189546271740371e+08 3.2609017300990492e+08 3.2095553298317516e+08 3.1644184063972515e+08 3.1250140775320059e+08 3.0909830723683530e+08 3.0617967319042993e+08 3.0369182993853718e+08 3.0159877624022239e+08 2.9984498655775380e+08 2.9839843824058360e+08 2.9721571871580660e+08 2.9626386704290760e+08 2.9549244600689441e+08 2.9484968454232645e+08 2.9430309902876443e+08 2.9381820660189593e+08 2.9335555345311391e+08 2.9302650304228079e+08 2.9269371729182988e+08 2.9235392803433937e+08 2.9199794593390095e+08 2.9163068786453098e+08 2.9124107053677970e+08 2.9084492333758497e+08 2.9040294624496162e+08 2.8992994559708941e+08 2.8941721982501662e+08 2.8885797416228473e+08 2.8824395170512688e+08 2.8756585094209200e+08 2.8680976621433324e+08 2.8598002601640290e+08 2.8504131606485689e+08 2.8398887314547539e+08 2.8280742810588235e+08 2.8148054871838695e+08 2.7999128926365393e+08 2.7832265226087308e+08 2.7645531732613534e+08 2.7439452216689086e+08 2.7210040037552994e+08 2.6958245523879564e+08 2.6684651077750733e+08 2.6391402587620685e+08 2.6082151130615377e+08 2.5763846128568342e+08 2.5446780796989399e+08 2.5148141369968706e+08 2.4888873705494371e+08 2.4702480715261343e+08 2.4635376087005028e+08 2.4755176450379872e+08 2.5160118039089406e+08 2.5999075896762460e+08 2.7507689676196831e+08 3.0083483386509544e+08 1.0334253741530588e+08 +6.6482494164721100e+00 4.5713713651500243e+08 4.5709399336799067e+08 4.5702160068956250e+08 4.5692852215668964e+08 4.5683935655087620e+08 4.5679126789451611e+08 4.5680029945597160e+08 4.5683869377204460e+08 4.5687881900451434e+08 4.5691558836613727e+08 4.5695278049697602e+08 4.5699120958236742e+08 4.5703060510521597e+08 4.5707122424418187e+08 4.5711368039305615e+08 4.5715846729156113e+08 4.5720624888717258e+08 4.5725799352629584e+08 4.5731487498673570e+08 4.5737818332897919e+08 4.5744938165561765e+08 4.5753000281380916e+08 4.5762110635438836e+08 4.5772424638022250e+08 4.5784684680834395e+08 4.5799412326364905e+08 4.5816530278139091e+08 4.5836142580566853e+08 4.5858507278262198e+08 4.5883894642080712e+08 4.5912543812956780e+08 4.5944626902718979e+08 4.5980202623054278e+08 4.6019153987562853e+08 4.6061107467652339e+08 4.6105319711163670e+08 4.6150540019529051e+08 4.6194835203972816e+08 4.6235387861616600e+08 4.6268256478694105e+08 4.6288916758892661e+08 4.6285909840402883e+08 4.6248235855822623e+08 4.6162521472070032e+08 4.6013359090931118e+08 4.5784154910266501e+08 4.5458595564083159e+08 4.5022712857728356e+08 4.4467368318838066e+08 4.3790355312001055e+08 4.2997788663198465e+08 4.2105893061929429e+08 4.1139928206414652e+08 4.0127749567060715e+08 3.9098851327794951e+08 3.8081694267516053e+08 3.7099524648228920e+08 3.6170040813557172e+08 3.5304386015312177e+08 3.4509777794513112e+08 3.3787676977869064e+08 3.3138370630128562e+08 3.2558289227817708e+08 3.2045249786810207e+08 3.1594274682117909e+08 3.1200590876423144e+08 3.0860601782983589e+08 3.0569022643784159e+08 3.0320488881758207e+08 3.0111401278596383e+08 2.9936212840634847e+08 2.9791722170814633e+08 2.9673591676206642e+08 2.9578526792514741e+08 2.9501488199752557e+08 2.9437304109038544e+08 2.9382727819257343e+08 2.9334314020104527e+08 2.9288122385508174e+08 2.9255270291473967e+08 2.9222045440468210e+08 2.9188121445007426e+08 2.9152580811350489e+08 2.9115914413117021e+08 2.9077015827970195e+08 2.9037464831427783e+08 2.8993338615787399e+08 2.8946115060708827e+08 2.8894925416195816e+08 2.8839091304268336e+08 2.8777788369601303e+08 2.8710087964976066e+08 2.8634601892253619e+08 2.8551761708804983e+08 2.8458042523703343e+08 2.8352968431196308e+08 2.8235014984890670e+08 2.8102541618989259e+08 2.7953856501545846e+08 2.7787262632756507e+08 2.7600831213221645e+08 2.7395084597044760e+08 2.7166043386138082e+08 2.6914656030843097e+08 2.6641503991651231e+08 2.6348729687192154e+08 2.6039978291118240e+08 2.5722187988556972e+08 2.5405635457491031e+08 2.5107478619910297e+08 2.4848630197683042e+08 2.4662538616469097e+08 2.4595542619283411e+08 2.4715149300901374e+08 2.5119436103661302e+08 2.5957037404782140e+08 2.7463212003304493e+08 3.0034840419437104e+08 1.0306058981958608e+08 +6.6532177392463678e+00 4.5706485499226058e+08 4.5702171264352930e+08 4.5694931907638556e+08 4.5685623546097904e+08 4.5676704977705467e+08 4.5671892222286898e+08 4.5672789342566168e+08 4.5676621001504242e+08 4.5680624157760274e+08 4.5684289784854859e+08 4.5687995293504024e+08 4.5691821693583262e+08 4.5695741449189281e+08 4.5699779699647123e+08 4.5703997111817861e+08 4.5708442285153419e+08 4.5713180668404949e+08 4.5718307963724011e+08 4.5723940214331466e+08 4.5730204857320642e+08 4.5737246368848538e+08 4.5745215870566946e+08 4.5754216481773484e+08 4.5764398795103878e+08 4.5776499018505180e+08 4.5791035205757880e+08 4.5807927073948956e+08 4.5827273686082667e+08 4.5849326706418490e+08 4.5874348997421962e+08 4.5902571246494395e+08 4.5934155988068885e+08 4.5969151163163483e+08 4.6007427785001236e+08 4.6048599108979511e+08 4.6091907448081672e+08 4.6136086864046371e+08 4.6179188406673807e+08 4.6218378999995106e+08 4.6249702459069854e+08 4.6268484358480996e+08 4.6263363327183533e+08 4.6223337890125030e+08 4.6135045335239875e+08 4.5983104865532041e+08 4.5750969109291947e+08 4.5422392586562657e+08 4.4983495284413064e+08 4.4425241818727797e+08 4.3745534000193644e+08 4.2950587939175880e+08 4.2056705168935740e+08 4.1089186453515768e+08 4.0075895134366703e+08 3.9046297077974075e+08 3.8028796720121652e+08 3.7046570601650268e+08 3.6117244000561875e+08 3.5251894135865223e+08 3.4457680724520785e+08 3.3736022538477838e+08 3.3087172802042627e+08 3.2507541913850945e+08 3.1994929477884114e+08 3.1544350529870284e+08 3.1151027886092806e+08 3.0811361138023287e+08 3.0520067400246137e+08 3.0271785120797944e+08 3.0062916016947556e+08 2.9887918676686549e+08 2.9743592596627593e+08 2.9625603868643928e+08 2.9530659480701429e+08 2.9453724536705774e+08 2.9389632584039015e+08 2.9335138603417617e+08 2.9286800276123667e+08 2.9240682339322400e+08 2.9207883201747513e+08 2.9174712083267146e+08 2.9140843026387244e+08 2.9105359977632636e+08 2.9068752996813589e+08 2.9029917567897075e+08 2.8990430306071502e+08 2.8946375594577086e+08 2.8899228560454369e+08 2.8848121860893643e+08 2.8792378216646624e+08 2.8731174607702637e+08 2.8663583890977234e+08 2.8588220235758764e+08 2.8505513910452312e+08 2.8411946557909077e+08 2.8307042690102828e+08 2.8189280329852897e+08 2.8057021568698359e+08 2.7908577315064520e+08 2.7742253317932928e+08 2.7556124016658491e+08 2.7350710351702303e+08 2.7122040164306039e+08 2.6871060028058016e+08 2.6598350461712700e+08 2.6306050413618705e+08 2.5997799152971742e+08 2.5680523626651606e+08 2.5364483971956342e+08 2.5066809797503033e+08 2.4808380679987407e+08 2.4622590552642697e+08 2.4555703202038658e+08 2.4675116172826955e+08 2.5078748091995007e+08 2.5914992634097144e+08 2.7418727686669987e+08 2.9986190188963717e+08 1.0277924255411805e+08 +6.6581860620206257e+00 4.5699010979751807e+08 4.5694696821496612e+08 4.5687457431765318e+08 4.5678148576587033e+08 4.5669228105648392e+08 4.5664411506151426e+08 4.5665302596926892e+08 4.5669126473980898e+08 4.5673120254209024e+08 4.5676774569791901e+08 4.5680466375239670e+08 4.5684276272128457e+08 4.5688176241193169e+08 4.5692190844453228e+08 4.5696380076684994e+08 4.5700791764072931e+08 4.5705490410547996e+08 4.5710570587100029e+08 4.5716147004069960e+08 4.5722345531627768e+08 4.5729308814102000e+08 4.5737185812979358e+08 4.5746076816215736e+08 4.5756127606358075e+08 4.5768068214242327e+08 4.5782413188410360e+08 4.5799079265839010e+08 4.5818160537033439e+08 4.5839902296833652e+08 4.5864560012552667e+08 4.5892355933800590e+08 4.5923443036968112e+08 4.5957858515844750e+08 4.5995461411698073e+08 4.6035851798479706e+08 4.6078257696318996e+08 4.6121397978065133e+08 4.6163307993234390e+08 4.6201139065558422e+08 4.6230920424789870e+08 4.6247827916844350e+08 4.6240597594432425e+08 4.6198226526050895e+08 4.6107362774491781e+08 4.5952652483949345e+08 4.5717594815746325e+08 4.5386012210706115e+08 4.4944112772877115e+08 4.4382964016400695e+08 4.3700575875574851e+08 4.2903265306099957e+08 4.2007410182443053e+08 4.1038351835512471e+08 4.0023961046479911e+08 3.8993675061815500e+08 3.7975841819191098e+08 3.6993568121471530e+08 3.6064406268828821e+08 3.5199367597991550e+08 3.4405554180477798e+08 3.3684342907049060e+08 3.3035953320935708e+08 3.2456775874533486e+08 3.1944592871514863e+08 3.1494412094001782e+08 3.1101452279867077e+08 3.0762109254905349e+08 3.0471102046634746e+08 3.0223072162638372e+08 3.0014422285321158e+08 2.9839616605823576e+08 2.9695455539980417e+08 2.9577608884716713e+08 2.9482785202613282e+08 2.9405954043770671e+08 2.9341954310292006e+08 2.9287542685520869e+08 2.9239279857661289e+08 2.9193235635418892e+08 2.9160489463228053e+08 2.9127372085308975e+08 2.9093557974777985e+08 2.9058132518889320e+08 2.9021584963687646e+08 2.8982812699014139e+08 2.8943389182726270e+08 2.8899405985232496e+08 2.8852335482642847e+08 2.8801311739489943e+08 2.8745658575479794e+08 2.8684554306011087e+08 2.8617073292404127e+08 2.8541832071069568e+08 2.8459259624484205e+08 2.8365844125674379e+08 2.8261110506283897e+08 2.8143539258736151e+08 2.8011495132295990e+08 2.7863291776095349e+08 2.7697237688343787e+08 2.7511410546916920e+08 2.7306329881674474e+08 2.7078030769638216e+08 2.6827457909437323e+08 2.6555190877870414e+08 2.6263365152516422e+08 2.5955614097349134e+08 2.5638853419338056e+08 2.5323326712213653e+08 2.5026135270226943e+08 2.4768125516087097e+08 2.4582636884778109e+08 2.4515858195281526e+08 2.4635077427917328e+08 2.5038054371757787e+08 2.5872941964642999e+08 2.7374237128283077e+08 2.9937533134707052e+08 1.0249849514353310e+08 +6.6631543847948835e+00 4.5691290738874954e+08 4.5686976576732522e+08 4.5679737522727627e+08 4.5670428061870766e+08 4.5661505815493697e+08 4.5656685412339795e+08 4.5657570481031036e+08 4.5661386566894096e+08 4.5665370961911112e+08 4.5669013963659608e+08 4.5672692067479801e+08 4.5676485466599840e+08 4.5680365659610885e+08 4.5684356632097507e+08 4.5688517707400161e+08 4.5692895939835596e+08 4.5697554889455795e+08 4.5702587997602713e+08 4.5708108643318945e+08 4.5714241131878972e+08 4.5721126278142029e+08 4.5728910886375654e+08 4.5737692417583752e+08 4.5747611851947224e+08 4.5759393049750036e+08 4.5773547057900894e+08 4.5789987639531243e+08 4.5808803921730959e+08 4.5830234840854734e+08 4.5854528482218540e+08 4.5881898673670471e+08 4.5912488852838504e+08 4.5946325489814031e+08 4.5983255682483369e+08 4.6022866358026743e+08 4.6064371285765088e+08 4.6106474200362688e+08 4.6147194812345827e+08 4.6183668917942297e+08 4.6211911247400957e+08 4.6226948319093013e+08 4.6217613541387212e+08 4.6172902677064306e+08 4.6079474716704828e+08 4.5922002884677714e+08 4.5684032976577902e+08 4.5349455387501901e+08 4.4904566272243315e+08 4.4340535852168167e+08 4.3655481861587685e+08 4.2855821663036996e+08 4.1958008970025343e+08 4.0987425183271873e+08 3.9971948094104815e+08 3.8940986028723913e+08 3.7922830273685592e+08 3.6940517878358960e+08 3.6011528254027295e+08 3.5146807005885601e+08 3.4353398738874942e+08 3.3632638635866362e+08 3.2984712718209279e+08 3.2405991623260230e+08 3.1894240465739328e+08 3.1444459859416270e+08 3.1051864531460917e+08 3.0712846597918350e+08 3.0422127039314336e+08 3.0174350457080954e+08 2.9965920528198284e+08 2.9791307068192220e+08 2.9647311437511116e+08 2.9529607158434546e+08 2.9434904390223241e+08 2.9358177151437777e+08 2.9294269717105770e+08 2.9239940493953264e+08 2.9191753192308360e+08 2.9145782700760174e+08 2.9113089502355617e+08 2.9080025872560966e+08 2.9046266715649748e+08 2.9010898860116851e+08 2.8974410738191879e+08 2.8935701645230258e+08 2.8896341884647584e+08 2.8852430210421652e+08 2.8805436249241024e+08 2.8754495473203743e+08 2.8698932801131314e+08 2.8637927884040833e+08 2.8570556587808490e+08 2.8495437815581220e+08 2.8412999267121708e+08 2.8319735641795164e+08 2.8215172293029255e+08 2.8097792183117115e+08 2.7965962719388938e+08 2.7818000292142528e+08 2.7652216149010813e+08 2.7466691206328237e+08 2.7261943586251771e+08 2.7034015598163247e+08 2.6783850067311174e+08 2.6512025628475598e+08 2.6220674287986660e+08 2.5913423503818709e+08 2.5597177741555032e+08 2.5282164048629138e+08 2.4985455404060140e+08 2.4727865068213132e+08 2.4542677972373536e+08 2.4476007957524738e+08 2.4595033426441070e+08 2.4997355309129256e+08 2.5830885774815437e+08 2.7329740728459859e+08 2.9888869694471663e+08 1.0221834710834844e+08 +6.6681227075691414e+00 4.5683325805376256e+08 4.5679011865188831e+08 4.5671772915991259e+08 4.5662462833576930e+08 4.5653538889378023e+08 4.5648714713379270e+08 4.5649593767746359e+08 4.5653402053017992e+08 4.5657377053734934e+08 4.5661008739427006e+08 4.5664673143322277e+08 4.5668450050322288e+08 4.5672310477966750e+08 4.5676277836436504e+08 4.5680410778171015e+08 4.5684755586979139e+08 4.5689374880099595e+08 4.5694360970648319e+08 4.5699825908068126e+08 4.5705892434757853e+08 4.5712699538417631e+08 4.5720391869102991e+08 4.5729064065320408e+08 4.5738852312502640e+08 4.5750474307291645e+08 4.5764437598298907e+08 4.5780652981319171e+08 4.5799204629003024e+08 4.5820325130256003e+08 4.5844255201614368e+08 4.5871200265267217e+08 4.5901294239488018e+08 4.5934552894251603e+08 4.5970811412674028e+08 4.6009643609833473e+08 4.6050249046426022e+08 4.6091316369898683e+08 4.6130849712835330e+08 4.6165969416818935e+08 4.6192675798347288e+08 4.6205846450177938e+08 4.6194412067022336e+08 4.6147367256116521e+08 4.6051382087967628e+08 4.5891157005235147e+08 4.5650284537657422e+08 4.5312723066642547e+08 4.4864856730121255e+08 4.4297958264370602e+08 4.3610252879767281e+08 4.2808257906765544e+08 4.1908502397004527e+08 4.0936407325183892e+08 3.9919857065563953e+08 3.8888230725773191e+08 3.7869762790168726e+08 3.6887420540718859e+08 3.5958610589489323e+08 3.5094212961585361e+08 3.4301214974014807e+08 3.3580910275224769e+08 3.2933451523245865e+08 3.2355189671551490e+08 3.1843872756645179e+08 3.1394494309038085e+08 3.1002265112709600e+08 3.0663573629526180e+08 3.0373142832861274e+08 3.0125620452204889e+08 2.9917411188193029e+08 2.9742990502112216e+08 2.9599160724194276e+08 2.9481599122064447e+08 2.9387017473803520e+08 2.9310394288417333e+08 2.9246579232069182e+08 2.9192332455386037e+08 2.9144220705999345e+08 2.9098323960556859e+08 2.9065683743898416e+08 2.9032673869284767e+08 2.8998969672769916e+08 2.8963659424534225e+08 2.8927230743005002e+08 2.8888584828652370e+08 2.8849288833429283e+08 2.8805448691012317e+08 2.8758531280431414e+08 2.8707673481524622e+08 2.8652201312303275e+08 2.8591295759573478e+08 2.8524034193971115e+08 2.8449037885006493e+08 2.8366733252890897e+08 2.8273621519463688e+08 2.8169228461970246e+08 2.8052039512898439e+08 2.7920424738015318e+08 2.7772703268997526e+08 2.7607189103389543e+08 2.7421966395615250e+08 2.7217551863164061e+08 2.6989995044275957e+08 2.6740236892458159e+08 2.6468855100317562e+08 2.6177978202555180e+08 2.5871227750432456e+08 2.5555496966759342e+08 2.5240996350047332e+08 2.4944770563518184e+08 2.4687599697114342e+08 2.4502714173484331e+08 2.4436152845863932e+08 2.4554984527215025e+08 2.4956651268766713e+08 2.5788824441411936e+08 2.7285238885904980e+08 2.9840200304301637e+08 1.0193879796499719e+08 +6.6730910303433992e+00 4.5675116983343536e+08 4.5670802803949380e+08 4.5663564127714068e+08 4.5654253707648432e+08 4.5645328111536229e+08 4.5640500182855541e+08 4.5641373230495340e+08 4.5645173705665177e+08 4.5649139303022659e+08 4.5652759670595795e+08 4.5656410376496142e+08 4.5660170797248489e+08 4.5664011470458585e+08 4.5667955231881797e+08 4.5672060063736433e+08 4.5676371480596697e+08 4.5680951157974273e+08 4.5685890282245392e+08 4.5691299574854708e+08 4.5697300217416638e+08 4.5704029372980702e+08 4.5711629540057403e+08 4.5720192539374447e+08 4.5729849769357508e+08 4.5741312769636530e+08 4.5755085594263929e+08 4.5771076077987784e+08 4.5789363448178083e+08 4.5810173957262671e+08 4.5833740966440964e+08 4.5860261508263654e+08 4.5889860001190162e+08 4.5922541538644731e+08 4.5958129417826366e+08 4.5996184376367748e+08 4.6035891808605868e+08 4.6075925325735241e+08 4.6114273543493283e+08 4.6148041421846467e+08 4.6173214948932010e+08 4.6184523194771069e+08 4.6170994069902068e+08 4.6121621175597894e+08 4.6023085813782549e+08 4.5860115782243115e+08 4.5616350443709105e+08 4.5275816196387696e+08 4.4824985092478913e+08 4.4255232189683729e+08 4.3564889849587142e+08 4.2760574932054889e+08 4.1858891326381052e+08 4.0885299087352002e+08 3.9867688746766353e+08 3.8835409897652549e+08 3.7816640072881109e+08 3.6834276774588263e+08 3.5905653906361037e+08 3.5041586064909381e+08 3.4249003458178139e+08 3.3529158373230380e+08 3.2882170263467836e+08 3.2304370528789186e+08 3.1793490238337266e+08 3.1344515923961401e+08 3.0952654493535078e+08 3.0614290810239744e+08 3.0324149879983264e+08 3.0076882594174981e+08 2.9868894706259698e+08 2.9694667344206321e+08 2.9551003833184397e+08 2.9433585206100625e+08 2.9339124881825638e+08 2.9262605881700963e+08 2.9198883280984449e+08 2.9144718994739509e+08 2.9096682822878247e+08 2.9050859838276643e+08 2.9018272610832405e+08 2.8985316497967231e+08 2.8951667268164873e+08 2.8916414633660424e+08 2.8880045399122286e+08 2.8841462669706059e+08 2.8802230448902386e+08 2.8758461846242028e+08 2.8711620994793773e+08 2.8660846182247716e+08 2.8605464525968790e+08 2.8544658348701012e+08 2.8477506526032639e+08 2.8402632693372905e+08 2.8320461994553828e+08 2.8227502170097268e+08 2.8123279423042929e+08 2.8006281656335026e+08 2.7874881594474936e+08 2.7727401110853595e+08 2.7562156953227550e+08 2.7377236513847780e+08 2.7173155108530641e+08 2.6945969500749958e+08 2.6696618773967960e+08 2.6425679678587034e+08 2.6135277277201572e+08 2.5829027213690522e+08 2.5513811466839603e+08 2.5199823983780533e+08 2.4904081111653808e+08 2.4647329762092963e+08 2.4462745844684482e+08 2.4396293215929514e+08 2.4514931087594289e+08 2.4915942613885087e+08 2.5746758339774117e+08 2.7240731997753751e+08 2.9791525398465014e+08 1.0165984722585729e+08 +6.6780593531176571e+00 4.5666664443888277e+08 4.5662350813178140e+08 4.5655112046381068e+08 4.5645801453629780e+08 4.5636874263804233e+08 4.5632042595295686e+08 4.5632909643052799e+08 4.5636702298701596e+08 4.5640658483804762e+08 4.5644267531264281e+08 4.5647904541333508e+08 4.5651648481868857e+08 4.5655469411797881e+08 4.5659389593451571e+08 4.5663466339407009e+08 4.5667744396355474e+08 4.5672284499168485e+08 4.5677176708964390e+08 4.5682530420802730e+08 4.5688465257718354e+08 4.5695116560273361e+08 4.5702624678724712e+08 4.5711078620303828e+08 4.5720605004230708e+08 4.5731909220108598e+08 4.5745491830889845e+08 4.5761257716754574e+08 4.5779281168992662e+08 4.5799782114600861e+08 4.5822986572763908e+08 4.5849083202673274e+08 4.5878186942489517e+08 4.5910292232888722e+08 4.5945210513742089e+08 4.5982489480397362e+08 4.6021300402843398e+08 4.6060301907102275e+08 4.6097467153369576e+08 4.6129885792593056e+08 4.6153529570345217e+08 4.6162979437310272e+08 4.6147360448176867e+08 4.6095665347294962e+08 4.5994586818749660e+08 4.5828880151380432e+08 4.5582231638228428e+08 4.5238735723723030e+08 4.4784952303757161e+08 4.4212358562865692e+08 4.3519393688614768e+08 4.2712773631379324e+08 4.1809176618910533e+08 4.0834101293527985e+08 3.9815443921260434e+08 3.8782524286618388e+08 3.7763462823659474e+08 3.6781087243689597e+08 3.5852658833452773e+08 3.4988926913402790e+08 3.4196764761389786e+08 3.3477383476020348e+08 3.2830869464154923e+08 3.2253534702519304e+08 3.1743093403053498e+08 3.1294525183340812e+08 3.0903033142034674e+08 3.0564998598806614e+08 3.0275148631623524e+08 3.0028137327407807e+08 2.9820371521429884e+08 2.9646338029208511e+08 2.9502841195836198e+08 2.9385565839306206e+08 2.9291227041047233e+08 2.9214812356515431e+08 2.9151182287960625e+08 2.9097100535199463e+08 2.9049139965387517e+08 2.9003390755659008e+08 2.8970856524421203e+08 2.8937954179411173e+08 2.8904359922109210e+08 2.8869164907274073e+08 2.8832855125796306e+08 2.8794335587083977e+08 2.8755167149180150e+08 2.8711470093589580e+08 2.8664705809099364e+08 2.8614013991426873e+08 2.8558722857402873e+08 2.8498016065825367e+08 2.8430973997373426e+08 2.8356222653040946e+08 2.8274185903292954e+08 2.8181378003519040e+08 2.8077325584520054e+08 2.7960519020004207e+08 2.7829333693436694e+08 2.7682094220249790e+08 2.7517120098656362e+08 2.7332501958473122e+08 2.7128753716828549e+08 2.6901939358773232e+08 2.6652996099464205e+08 2.6382499746912342e+08 2.6092571891328830e+08 2.5786822268549451e+08 2.5472121612212354e+08 2.5158647315680411e+08 2.4863387409963751e+08 2.4607055620909610e+08 2.4422773341123250e+08 2.4356429421853295e+08 2.4474873463447550e+08 2.4875229706204975e+08 2.5704687843658140e+08 2.7196220459416264e+08 2.9742845409425324e+08 1.0138149439928083e+08 +6.6830276758919149e+00 4.5657969738188702e+08 4.5653656148357385e+08 4.5646417651324427e+08 4.5637106821434647e+08 4.5628178121983504e+08 4.5623342725572670e+08 4.5624203779584539e+08 4.5627988606388348e+08 4.5631935370571262e+08 4.5635533096062249e+08 4.5639156412674642e+08 4.5642883879246968e+08 4.5646685077274036e+08 4.5650581696649480e+08 4.5654630381023961e+08 4.5658875110472190e+08 4.5663375680320132e+08 4.5668221027869970e+08 4.5673519223600149e+08 4.5679388333936256e+08 4.5685961879457730e+08 4.5693378065080428e+08 4.5701723089094961e+08 4.5711118799441385e+08 4.5722264442520612e+08 4.5735657093825990e+08 4.5751198685424078e+08 4.5768958581691504e+08 4.5789150395397568e+08 4.5811992817159134e+08 4.5837666148967505e+08 4.5866275868415290e+08 4.5897805787131721e+08 4.5932055516608399e+08 4.5968559744743216e+08 4.6006475659773380e+08 4.6044446953308839e+08 4.6080431391337639e+08 4.6111503388664204e+08 4.6133620533607376e+08 4.6141216061915153e+08 4.6123512099569988e+08 4.6069500682557976e+08 4.5965886026882535e+08 4.5797451047340059e+08 4.5547929063665599e+08 4.5201482594172513e+08 4.4744759306711382e+08 4.4169338316963863e+08 4.3473765312279189e+08 4.2664854895145661e+08 4.1759359133073366e+08 4.0782814765088952e+08 3.9763123370215774e+08 3.8729574632553428e+08 3.7710231742008293e+08 3.6727852609513092e+08 3.5799625997375786e+08 3.4936236102509028e+08 3.4144499451577026e+08 3.3425586127553451e+08 3.2779549648660493e+08 3.2202682698211771e+08 3.1692682741008794e+08 3.1244522564359874e+08 3.0853401524420339e+08 3.0515697452147925e+08 3.0226139536815178e+08 2.9979385094534630e+08 2.9771842071052635e+08 2.9598002990170622e+08 2.9454673241813290e+08 2.9337541448651844e+08 2.9243324376458907e+08 2.9167014136351937e+08 2.9103476675326765e+08 2.9049477498201740e+08 2.9001592554233515e+08 2.8955917132727522e+08 2.8923435904212523e+08 2.8890587332654464e+08 2.8857048053207445e+08 2.8821910663444936e+08 2.8785660340557772e+08 2.8747203997790676e+08 2.8708099350681615e+08 2.8664473848840255e+08 2.8617786138478857e+08 2.8567177323459077e+08 2.8511976720163339e+08 2.8451369323612809e+08 2.8384437019734770e+08 2.8309808174626648e+08 2.8227905388529444e+08 2.8135249427804589e+08 2.8031367352995318e+08 2.7914752008811110e+08 2.7783781437908131e+08 2.7636782998054075e+08 2.7472078938162613e+08 2.7287763125309944e+08 2.7084348080884898e+08 2.6857905007892627e+08 2.6609369254854563e+08 2.6339315687337431e+08 2.6049862422780019e+08 2.5744613288464165e+08 2.5430427771716186e+08 2.5117466710070315e+08 2.4822689818497109e+08 2.4566777629955819e+08 2.4382797016452542e+08 2.4316561816392800e+08 2.4434812009238139e+08 2.4834512905929732e+08 2.5662613325316465e+08 2.7151704664750135e+08 2.9694160767916262e+08 1.0110373898962353e+08 +6.6879959986661728e+00 4.5649033131735736e+08 4.5644719715015191e+08 4.5637481708309686e+08 4.5628170597305644e+08 4.5619240453716868e+08 4.5614401348930997e+08 4.5615256414556992e+08 4.5619033403601545e+08 4.5622970738358742e+08 4.5626557140212435e+08 4.5630166765809947e+08 4.5633877764953870e+08 4.5637659242674369e+08 4.5641532317590946e+08 4.5645552964958304e+08 4.5649764399676484e+08 4.5654225478534389e+08 4.5659024016626161e+08 4.5664266761400044e+08 4.5670070224898446e+08 4.5676566110100710e+08 4.5683890479550219e+08 4.5692126727302492e+08 4.5701391937784499e+08 4.5712379221080875e+08 4.5725582169122261e+08 4.5740899772209054e+08 4.5758396477002776e+08 4.5778279593234229e+08 4.5800760496554989e+08 4.5826011147974348e+08 4.5854127584261417e+08 4.5885083011886603e+08 4.5918665242885989e+08 4.5954395992783785e+08 4.5991418410244513e+08 4.6028361303793204e+08 4.6063167106446230e+08 4.6092895069566590e+08 4.6113488709658921e+08 4.6119233952481472e+08 4.6099449921442193e+08 4.6043128092033046e+08 4.5936984361308384e+08 4.5765829403906351e+08 4.5513443661194324e+08 4.5164057751858729e+08 4.4704407042572850e+08 4.4126172383152938e+08 4.3428005634157437e+08 4.2616819611587352e+08 4.1709439725077152e+08 4.0731440321097267e+08 3.9710727872358322e+08 3.8676561672942466e+08 3.7656947525076884e+08 3.6674573531140941e+08 3.5746556022461885e+08 3.4883514225411099e+08 3.4092208094558412e+08 3.3373766869774234e+08 3.2728211338227683e+08 3.2151815019400388e+08 3.1642258740513837e+08 3.1194508542432350e+08 3.0803760104972136e+08 3.0466387825240964e+08 3.0177123042859662e+08 2.9930626336347198e+08 2.9723306790610170e+08 2.9549662658347583e+08 2.9406500398951530e+08 2.9289512459404242e+08 2.9195417311309016e+08 2.9119211642955893e+08 2.9055766863689250e+08 2.9001850303463250e+08 2.8954041008354217e+08 2.8908439387759703e+08 2.8876011167989075e+08 2.8843216375055170e+08 2.8809732078279966e+08 2.8774652318507648e+08 2.8738461459237176e+08 2.8700068317094672e+08 2.8661027468095821e+08 2.8617473526069260e+08 2.8570862396295756e+08 2.8520336590971953e+08 2.8465226526111883e+08 2.8404718533084583e+08 2.8337896003131366e+08 2.8263389667065239e+08 2.8181620858012766e+08 2.8089116849386746e+08 2.7985405133408624e+08 2.7868981025982839e+08 2.7738225229221445e+08 2.7591467843466055e+08 2.7427033868582481e+08 2.7243020408531195e+08 2.7039938591928601e+08 2.6813866836122578e+08 2.6565738624577701e+08 2.6296127880353186e+08 2.6007149247873804e+08 2.5702400645288980e+08 2.5388730312720656e+08 2.5076282529785460e+08 2.4781988695855227e+08 2.4526496144063309e+08 2.4342817222920471e+08 2.4276690750767088e+08 2.4394747077899116e+08 2.4793792571791652e+08 2.5620535155430469e+08 2.7107185005966872e+08 2.9645471902839065e+08 1.0082658049727322e+08 +6.6929643214404306e+00 4.5639855860968411e+08 4.5635542754354507e+08 4.5628304939543366e+08 4.5618993559748369e+08 4.5610062019869000e+08 4.5605219240776491e+08 4.5606068322881991e+08 4.5609837465629715e+08 4.5613765362819320e+08 4.5617340439403337e+08 4.5620936376718754e+08 4.5624630915128183e+08 4.5628392684352976e+08 4.5632242232853556e+08 4.5636234868161160e+08 4.5640413041183710e+08 4.5644834671515059e+08 4.5649586453333646e+08 4.5654773812857574e+08 4.5660511709942603e+08 4.5666930032285511e+08 4.5674162703179872e+08 4.5682290316950905e+08 4.5691425202478665e+08 4.5702254340631676e+08 4.5715267843336582e+08 4.5730361765749466e+08 4.5747595646014881e+08 4.5767170502120864e+08 4.5789290408244526e+08 4.5814119000880855e+08 4.5841742895658201e+08 4.5872124717924023e+08 4.5905040509231037e+08 4.5939999047807568e+08 4.5976129485233331e+08 4.6012045798131955e+08 4.6045675147674215e+08 4.6074061694714242e+08 4.6093134969147915e+08 4.6097033992609972e+08 4.6075174810681272e+08 4.6016548485768074e+08 4.5907882744386846e+08 4.5734016153850651e+08 4.5478776370906550e+08 4.5126462139512104e+08 4.4663896450822318e+08 4.4082861690754223e+08 4.3382115565707743e+08 4.2568668666642952e+08 4.1659419248788321e+08 4.0679978778154230e+08 3.9658258204089087e+08 3.8623486142908865e+08 3.7603610867634147e+08 3.6621250665354073e+08 3.5693449530760074e+08 3.4830761873117357e+08 3.4039891254001677e+08 3.3321926242508447e+08 3.2676855052133918e+08 3.2100932167610008e+08 3.1591821887985408e+08 3.1144483590967721e+08 3.0754109346190184e+08 3.0417070171319526e+08 3.0128099595160848e+08 2.9881861491821176e+08 2.9674766113868582e+08 2.9501317463212174e+08 2.9358323093392164e+08 2.9241479295022744e+08 2.9147506267092252e+08 2.9071405296340477e+08 2.9008053271911937e+08 2.8954219368964022e+08 2.8906485745003337e+08 2.8860957937316394e+08 2.8828582731879753e+08 2.8795841722235185e+08 2.8762412412482381e+08 2.8727390287088627e+08 2.8691258895942849e+08 2.8652928958521152e+08 2.8613951914407086e+08 2.8570469537600875e+08 2.8523934994248515e+08 2.8473492204947603e+08 2.8418472685425735e+08 2.8358064103478867e+08 2.8291351355878592e+08 2.8216967537627524e+08 2.8135332717856902e+08 2.8042980672988361e+08 2.7939439328971702e+08 2.7823206473080456e+08 2.7692665467100132e+08 2.7546149154100674e+08 2.7381985285136271e+08 2.7198274200714481e+08 2.6995525639627916e+08 2.6769825229786792e+08 2.6522104591394681e+08 2.6252936704867029e+08 2.5964432741344243e+08 2.5660184709405318e+08 2.5347029601056966e+08 2.5035095136170641e+08 2.4741284399092788e+08 2.4486211516665441e+08 2.4302834311226895e+08 2.4236816574816301e+08 2.4354679020960870e+08 2.4753069061119005e+08 2.5578453703203437e+08 2.7062661873678839e+08 2.9596779241396809e+08 1.0055001841867904e+08 +6.6979326442146885e+00 4.5630438028093660e+08 4.5626125363504964e+08 4.5618888085652506e+08 4.5609576512986112e+08 4.5600643580458260e+08 4.5595797176863283e+08 4.5596640279813993e+08 4.5600401568201393e+08 4.5604320020053619e+08 4.5607883769858921e+08 4.5611466021784383e+08 4.5615144106301200e+08 4.5618886179146570e+08 4.5622712219526309e+08 4.5626676867981750e+08 4.5630821812811828e+08 4.5635204037381268e+08 4.5639909116628289e+08 4.5645041157218707e+08 4.5650713568861759e+08 4.5657054426589102e+08 4.5664195517358965e+08 4.5672214640521139e+08 4.5681219377264464e+08 4.5691890586350560e+08 4.5704714903478229e+08 4.5719585455110109e+08 4.5736556880267835e+08 4.5755823916407400e+08 4.5777583349916732e+08 4.5801990509170288e+08 4.5829122608589435e+08 4.5858931716323316e+08 4.5891182132546067e+08 4.5925369733390504e+08 4.5960609715883422e+08 4.5995501275869012e+08 4.6027956364066756e+08 4.6055004123470169e+08 4.6072560182634610e+08 4.6074617065561652e+08 4.6050687663705754e+08 4.5989762773219329e+08 4.5878582097727394e+08 4.5702012228953707e+08 4.5443928131550598e+08 4.5088696698504698e+08 4.4623228469412738e+08 4.4039407167299598e+08 4.3336096016338092e+08 4.2520402944294655e+08 4.1609298555832070e+08 4.0628430950653684e+08 3.9605715139360762e+08 3.8570348775138682e+08 3.7550222462098241e+08 3.6567884666645408e+08 3.5640307142111498e+08 3.4777979634440374e+08 3.3987549491389829e+08 3.3270064783538812e+08 3.2625481307606822e+08 3.2050034642456138e+08 3.1541372667853206e+08 3.1094448181545758e+08 3.0704449708650768e+08 3.0367744941754293e+08 3.0079069637389892e+08 2.9833090998218447e+08 2.9626220472761023e+08 2.9452967832466292e+08 2.9310141749445975e+08 2.9193442377249748e+08 2.9099591663575816e+08 2.9023595514746302e+08 2.8960336317143494e+08 2.8906585110959071e+08 2.8858927179674655e+08 2.8813473196233338e+08 2.8781151010222059e+08 2.8748463788032436e+08 2.8715089469182467e+08 2.8680124982109362e+08 2.8644053063052100e+08 2.8605786333927137e+08 2.8566873100898784e+08 2.8523462294111109e+08 2.8477004342326373e+08 2.8426644574613464e+08 2.8371715606572253e+08 2.8311406442450947e+08 2.8244803484648824e+08 2.8170542191892952e+08 2.8089041372427577e+08 2.7996841301699948e+08 2.7893470341289604e+08 2.7777428750026238e+08 2.7647102549549061e+08 2.7500827325860649e+08 2.7336933581361657e+08 2.7153524892733705e+08 2.6951109611988348e+08 2.6725780573670641e+08 2.6478467536508277e+08 2.6209742538224170e+08 2.5921713276365840e+08 2.5617965849617550e+08 2.5305326001040202e+08 2.4993904889056566e+08 2.4700577283846760e+08 2.4445924099678978e+08 2.4262848630745226e+08 2.4196939636879539e+08 2.4314608188489521e+08 2.4712342729609859e+08 2.5536369336272785e+08 2.7018135656853551e+08 2.9548083208983231e+08 1.0027405224638045e+08 +6.7029009669889463e+00 4.5620781081926924e+08 4.5616468849339867e+08 4.5609231753449905e+08 4.5599920200998086e+08 4.5590985902597642e+08 4.5586135933512974e+08 4.5586973061093128e+08 4.5590726487564057e+08 4.5594635486708093e+08 4.5598187908284861e+08 4.5601756477860552e+08 4.5605418115616632e+08 4.5609140504346991e+08 4.5612943055205500e+08 4.5616879742333651e+08 4.5620991492722118e+08 4.5625334354765403e+08 4.5629992785581738e+08 4.5635069574051702e+08 4.5640676581979281e+08 4.5646940074001539e+08 4.5653989704050946e+08 4.5661900480913949e+08 4.5670775246274984e+08 4.5681288743849504e+08 4.5693924136920524e+08 4.5708571629790634e+08 4.5725280971649832e+08 4.5744240630864555e+08 4.5765640119624639e+08 4.5789626474763793e+08 4.5816267529346675e+08 4.5845504818448377e+08 4.5877090930030996e+08 4.5910508873329401e+08 4.5944859933468699e+08 4.5978728576654661e+08 4.6010011604612654e+08 4.6035723215082419e+08 4.6051765220406193e+08 4.6051984054270935e+08 4.6025989376452249e+08 4.5962771863302571e+08 4.5849083342072231e+08 4.5669818560000229e+08 4.5408899880755079e+08 4.5050762368700993e+08 4.4582404034665322e+08 4.3995809738409764e+08 4.3289947893519139e+08 4.2472023326137221e+08 4.1559078495518750e+08 4.0576797650466120e+08 3.9553099449748123e+08 3.8517150300012350e+08 3.7496782998513168e+08 3.6514476187189776e+08 3.5587129474069345e+08 3.4725168095986831e+08 3.3935183366188443e+08 3.3218183028546286e+08 3.2574090619848859e+08 3.1999122941490448e+08 3.1490911562660849e+08 3.1044402783799285e+08 3.0654781651120502e+08 3.0318412586053944e+08 3.0030033611320996e+08 2.9784315290914059e+08 2.9577670297459584e+08 2.9404614192067838e+08 2.9261956789726561e+08 2.9145402126086521e+08 2.9051673918781787e+08 2.8975782714738512e+08 2.8912616414786941e+08 2.8858947943931723e+08 2.8811365726183891e+08 2.8765985577605885e+08 2.8733716415645397e+08 2.8701082984679937e+08 2.8667763660105032e+08 2.8632856814730322e+08 2.8596844371223426e+08 2.8558640853430438e+08 2.8519791437130529e+08 2.8476452204521894e+08 2.8430070848807746e+08 2.8379794107571393e+08 2.8324955696292639e+08 2.8264745955896938e+08 2.8198252794360209e+08 2.8124114033756757e+08 2.8042747224436337e+08 2.7950699136905420e+08 2.7847498570282167e+08 2.7731648255068731e+08 2.7601536872953886e+08 2.7455502753015786e+08 2.7291879149223459e+08 2.7108772873960096e+08 2.6906690895368791e+08 2.6681733250966185e+08 2.6434827839549568e+08 2.6166545756178355e+08 2.5878991224628365e+08 2.5575744433226588e+08 2.5263619875478178e+08 2.4952712146780255e+08 2.4659867704240254e+08 2.4405634243617836e+08 2.4222860529316226e+08 2.4157060283915117e+08 2.4274534929075789e+08 2.4671613931630617e+08 2.5494282420756510e+08 2.6973606742875129e+08 2.9499384229214281e+08 9.9998681469035447e+07 +6.7078692897632042e+00 4.5610885499129283e+08 4.5606573672185117e+08 4.5599336680383927e+08 4.5590025345090413e+08 4.5581089763717151e+08 4.5576236287521827e+08 4.5577067442911267e+08 4.5580813000419098e+08 4.5584712539782447e+08 4.5588253631920409e+08 4.5591808522344601e+08 4.5595453720665848e+08 4.5599156437782770e+08 4.5602935517882818e+08 4.5606844269563437e+08 4.5610922859653938e+08 4.5615226402776617e+08 4.5619838239826006e+08 4.5624859843498367e+08 4.5630401529948777e+08 4.5636587756011790e+08 4.5643546045548207e+08 4.5651348621548474e+08 4.5660093594115710e+08 4.5670449599238145e+08 4.5682896331507045e+08 4.5697321079667687e+08 4.5713768712487322e+08 4.5732421440577340e+08 4.5753461515739197e+08 4.5777027699806231e+08 4.5803178464452583e+08 4.5831844835845822e+08 4.5862767718988919e+08 4.5895417291541612e+08 4.5928880969295347e+08 4.5961728540242636e+08 4.5991841718236941e+08 4.6016219828614354e+08 4.6030750952570027e+08 4.6029135841323602e+08 4.6001080844388902e+08 4.5935576664112788e+08 4.5819387397437626e+08 4.5637436076782632e+08 4.5373692554932576e+08 4.5012660088577628e+08 4.4541424081164217e+08 4.3952070327889866e+08 4.3243672102626383e+08 4.2423530691717684e+08 4.1508759914863533e+08 4.0525079687178391e+08 3.9500411904450160e+08 3.8463891445387405e+08 3.7443293164559466e+08 3.6461025876852345e+08 3.5533917141903776e+08 3.4672327842245263e+08 3.3882793435602272e+08 3.3166281511158842e+08 3.2522683502052617e+08 3.1948197560343176e+08 3.1440439052945471e+08 3.0994347865451711e+08 3.0605105630430359e+08 3.0269073551872641e+08 2.9980991956972432e+08 2.9735534803542721e+08 2.9529116016377401e+08 2.9356256966177440e+08 2.9213768635053271e+08 2.9097358959762275e+08 2.9003753448969626e+08 2.8927967311106414e+08 2.8864893978523165e+08 2.8811308280731589e+08 2.8763801796565115e+08 2.8718495492840689e+08 2.8686279359083229e+08 2.8653699722594404e+08 2.8620435395230001e+08 2.8585586194447351e+08 2.8549633229460132e+08 2.8511492925484180e+08 2.8472707330942941e+08 2.8429439676099563e+08 2.8383134920244479e+08 2.8332941209632033e+08 2.8278193359702456e+08 2.8218083047986335e+08 2.8151699688298249e+08 2.8077683465402949e+08 2.7996450674912798e+08 2.7904554578337640e+08 2.7801524414179641e+08 2.7685865384795791e+08 2.7555968832027274e+08 2.7410175828229505e+08 2.7246822379022002e+08 2.7064018532047105e+08 2.6862269874602222e+08 2.6637683643212679e+08 2.6391185878572178e+08 2.6123346732941571e+08 2.5836266956176406e+08 2.5533520825980490e+08 2.5221911585668579e+08 2.4911517266199732e+08 2.4619156012927097e+08 2.4365342297483528e+08 2.4182870353331411e+08 2.4117178861343104e+08 2.4234459589887920e+08 2.4630883019983897e+08 2.5452193321230873e+08 2.6929075517479455e+08 2.9450682723946398e+08 9.9723905571449444e+07 +6.7128376125374620e+00 4.5600751953820282e+08 4.5596440455638498e+08 4.5589203880540162e+08 4.5579892731807435e+08 4.5570955948300606e+08 4.5566099016274518e+08 4.5566924202119762e+08 4.5570661883895445e+08 4.5574551956857222e+08 4.5578081718360895e+08 4.5581622933020109e+08 4.5585251699389267e+08 4.5588934757660836e+08 4.5592690386114806e+08 4.5596571228437364e+08 4.5600616692709982e+08 4.5604880960954440e+08 4.5609446259274793e+08 4.5614412746074831e+08 4.5619889194005221e+08 4.5625998254571944e+08 4.5632865324620247e+08 4.5640559846206218e+08 4.5649175205822814e+08 4.5659373938921195e+08 4.5671632275449967e+08 4.5685834595019901e+08 4.5702020895473492e+08 4.5720367141033226e+08 4.5741048337021148e+08 4.5764194986763352e+08 4.5789856220726925e+08 4.5817952580400240e+08 4.5848213316993815e+08 4.5880095812117404e+08 4.5912673654849619e+08 4.5944502006281173e+08 4.5973447553880650e+08 4.5996494823095363e+08 4.6009518248975325e+08 4.6006073308976597e+08 4.5975962962556726e+08 4.5908178083207268e+08 4.5789495182899117e+08 4.5604865707982367e+08 4.5338307089249545e+08 4.4974390795142210e+08 4.4500289541849095e+08 4.3908189857729793e+08 4.3197269547004849e+08 4.2374925918270862e+08 4.1458343658604139e+08 4.0473277868027562e+08 3.9447653270209008e+08 3.8410572936842203e+08 3.7389753645594734e+08 3.6407534383170944e+08 3.5480670758713847e+08 3.4619459455364990e+08 3.3830380254791248e+08 3.3114360762898588e+08 3.2471260465414578e+08 3.1897258992679977e+08 3.1389955617395920e+08 3.0944283892452842e+08 3.0555422101624328e+08 3.0219728285101080e+08 2.9931945112524205e+08 2.9686749967924696e+08 2.9480558056105483e+08 2.9307896577229464e+08 2.9165577704533976e+08 2.9049313294782525e+08 2.8955830668687272e+08 2.8880149716911548e+08 2.8817169420287693e+08 2.8763666532399106e+08 2.8716235801134604e+08 2.8671003351593167e+08 2.8638840249766457e+08 2.8606314410506439e+08 2.8573105082806110e+08 2.8538313529035699e+08 2.8502420044988036e+08 2.8464342956759918e+08 2.8425621188515449e+08 2.8382425114369696e+08 2.8336196961541539e+08 2.8286086284985560e+08 2.8231429000137681e+08 2.8171418121299911e+08 2.8105144568039721e+08 2.8031250887358552e+08 2.7950152123249465e+08 2.7858408024041253e+08 2.7755548269542044e+08 2.7640080534145951e+08 2.7510398819881403e+08 2.7364846942485553e+08 2.7201763659396130e+08 2.7019262253067935e+08 2.6817846932856303e+08 2.6593632130388674e+08 2.6347542030002457e+08 2.6080145841158080e+08 2.5793540839589658e+08 2.5491295392116794e+08 2.5180201491400254e+08 2.4870320602694777e+08 2.4578442561097461e+08 2.4325048608861583e+08 2.4142878447752088e+08 2.4077295713222381e+08 2.4194382516606769e+08 2.4590150346031410e+08 2.5410102400797495e+08 2.6884542364816374e+08 2.9401979113316858e+08 9.9449724034603938e+07 +6.7178059353117199e+00 4.5590381246958905e+08 4.5586070193567991e+08 4.5578834303772962e+08 4.5569523188099742e+08 4.5560585243152249e+08 4.5555724897394419e+08 4.5556544116058707e+08 4.5560273915638393e+08 4.5564154515947556e+08 4.5567672945747793e+08 4.5571200488132918e+08 4.5574812830304831e+08 4.5578476242660499e+08 4.5582208438798976e+08 4.5586061398260689e+08 4.5590073771478260e+08 4.5594298809295672e+08 4.5598817624404919e+08 4.5603729062748444e+08 4.5609140355752277e+08 4.5615172351976317e+08 4.5621948324530637e+08 4.5629534939096308e+08 4.5638020866716659e+08 4.5648062549765664e+08 4.5660132757324690e+08 4.5674112966498202e+08 4.5690038313557392e+08 4.5708078528018469e+08 4.5728401382416987e+08 4.5751129138394397e+08 4.5776301605238175e+08 4.5803828864088947e+08 4.5833428541776806e+08 4.5864545259207416e+08 4.5896238821635318e+08 4.5927049814554667e+08 4.5954829960357672e+08 4.5976549057368875e+08 4.5988067979232502e+08 4.5982797339051521e+08 4.5950636625360239e+08 4.5880577027450454e+08 4.5759407616781002e+08 4.5572108381378782e+08 4.5302744417585403e+08 4.4935955423904836e+08 4.4459001348060781e+08 4.3864169247955847e+08 4.3150741127936399e+08 4.2326209880953574e+08 4.1407830569155836e+08 4.0421392997794741e+08 3.9394824311447328e+08 3.8357195497517014e+08 3.7336165124531794e+08 3.6354002351369107e+08 3.5427390935293251e+08 3.4566563515464705e+08 3.3777944376744497e+08 3.3062421313310844e+08 3.2419822019064820e+08 3.1846307730164999e+08 3.1339461732727796e+08 3.0894211328713381e+08 3.0505731517824930e+08 3.0170377229764080e+08 2.9882893514368176e+08 2.9637961214104033e+08 2.9431996841526574e+08 2.9259533445863390e+08 2.9117384415496707e+08 2.9001265545914233e+08 2.8907905990740556e+08 2.8832330343488586e+08 2.8769443150300145e+08 2.8716023108289874e+08 2.8668668148560137e+08 2.8623509561816788e+08 2.8591399495154661e+08 2.8558927455466300e+08 2.8525773129385304e+08 2.8491039224533063e+08 2.8455205223345292e+08 2.8417191352276844e+08 2.8378533414293426e+08 2.8335408923161799e+08 2.8289257375863862e+08 2.8239229736085743e+08 2.8184663019326830e+08 2.8124751576635802e+08 2.8058587833459979e+08 2.7984816698485285e+08 2.7903851967100126e+08 2.7812259870381880e+08 2.7709570531347710e+08 2.7594294096393985e+08 2.7464827227930409e+08 2.7319516485175353e+08 2.7156703377428639e+08 2.6974504421477234e+08 2.6773422451702029e+08 2.6549579090911534e+08 2.6303896668771464e+08 2.6036943451921904e+08 2.5750813241847065e+08 2.5449068494333065e+08 2.5138489950947222e+08 2.4829122510090196e+08 2.4537727698465818e+08 2.4284753523854750e+08 2.4102885156129679e+08 2.4037411182133394e+08 2.4154304053483802e+08 2.4549416259645429e+08 2.5368010020966595e+08 2.6840007667401212e+08 2.9353273815631104e+08 9.9176136335684314e+07 +6.7227742580859777e+00 4.5579774672355402e+08 4.5575463556669641e+08 4.5568228594688845e+08 4.5558917524759388e+08 4.5549978434768122e+08 4.5545114708784109e+08 4.5545927962657613e+08 4.5549649873732191e+08 4.5553520995393056e+08 4.5557028092587811e+08 4.5560541966389930e+08 4.5564137892230862e+08 4.5567781671930993e+08 4.5571490455304348e+08 4.5575315558590806e+08 4.5579294875943804e+08 4.5583480728118384e+08 4.5587953116061801e+08 4.5592809574881965e+08 4.5598155797119004e+08 4.5604110830957323e+08 4.5610795828782707e+08 4.5618274684732628e+08 4.5626631362627614e+08 4.5636516219013530e+08 4.5648398566054225e+08 4.5662156985007536e+08 4.5677821760132939e+08 4.5695556397625822e+08 4.5715521451270747e+08 4.5737830957745361e+08 4.5762515425326544e+08 4.5789474499176139e+08 4.5818414211220217e+08 4.5848766457200474e+08 4.5879577301237071e+08 4.5909372804749948e+08 4.5935989786458778e+08 4.5956383390077597e+08 4.5966401012722975e+08 4.5959308813088578e+08 4.5925102726777786e+08 4.5852774403012294e+08 4.5729125616461802e+08 4.5539165023577601e+08 4.5267005472616243e+08 4.4897354908996010e+08 4.4417560429379809e+08 4.3820009416722989e+08 4.3104087744643563e+08 4.2277383452649993e+08 4.1357221486585718e+08 4.0369425878982401e+08 3.9341925790103501e+08 3.8303759848171008e+08 3.7282528282072502e+08 3.6300430424417710e+08 3.5374078280196005e+08 3.4513640600380057e+08 3.3725486352389848e+08 3.3010463689726943e+08 3.2368368670135838e+08 3.1795344262540400e+08 3.1288957873740703e+08 3.0844130636359137e+08 3.0456034330340642e+08 3.0121020828021806e+08 2.9833837597062850e+08 2.9589168970340955e+08 2.9383432795690280e+08 2.9211167991000938e+08 2.9069189183511603e+08 2.8953216126173097e+08 2.8859979826188123e+08 2.8784509600455260e+08 2.8721715577065372e+08 2.8668378416007012e+08 2.8621099245681971e+08 2.8576014529774475e+08 2.8543957501030135e+08 2.8511539262792450e+08 2.8478439939817297e+08 2.8443763685311931e+08 2.8407989168411189e+08 2.8370038515352166e+08 2.8331444411029339e+08 2.8288391504629701e+08 2.8242316564694464e+08 2.8192371963728052e+08 2.8137895817257649e+08 2.8078083813170624e+08 2.8012029882793432e+08 2.7938381295925087e+08 2.7857550602519286e+08 2.7766110512074882e+08 2.7663591592794472e+08 2.7548506463140577e+08 2.7419254445958585e+08 2.7274184844002962e+08 2.7111641918522120e+08 2.6929745420095330e+08 2.6728996811112317e+08 2.6505524901550472e+08 2.6260250168167138e+08 2.5993739934735224e+08 2.5708084528442976e+08 2.5406840493810210e+08 2.5096777321076626e+08 2.4787923340809241e+08 2.4497011773263913e+08 2.4244457387087753e+08 2.4062890820509094e+08 2.3997525609204519e+08 2.4114224543332610e+08 2.4508681109264368e+08 2.5325916541802394e+08 2.6795471806174740e+08 2.9304567247501338e+08 9.8903141948108658e+07 +6.7277425808602356e+00 4.5568932107579643e+08 4.5564621670532554e+08 4.5557387393905878e+08 4.5548076500793952e+08 4.5539136308101058e+08 4.5534269228435504e+08 4.5535076520482099e+08 4.5538790536576438e+08 4.5542652174055773e+08 4.5546147937819523e+08 4.5549648146871001e+08 4.5553227664500707e+08 4.5556851824928123e+08 4.5560537215378755e+08 4.5564334489554822e+08 4.5568280786482197e+08 4.5572427498216730e+08 4.5576853515442789e+08 4.5581655064289850e+08 4.5586936300561595e+08 4.5592814474581492e+08 4.5599408621374255e+08 4.5606779868131411e+08 4.5615007479701072e+08 4.5624735734235716e+08 4.5636430490956116e+08 4.5649967441928881e+08 4.5665372028809345e+08 4.5682801546254820e+08 4.5702409343144858e+08 4.5724301248033917e+08 4.5748498488512868e+08 4.5774890298106360e+08 4.5803171143341392e+08 4.5832760230432463e+08 4.5862689925281996e+08 4.5891471816599303e+08 4.5916927880825323e+08 4.5935998679708266e+08 4.5944518218429989e+08 4.5935608612071460e+08 4.5899362160154480e+08 4.5824771115389705e+08 4.5698650098466110e+08 4.5506036560167909e+08 4.5231091185743827e+08 4.4858590182974845e+08 4.4375967713759649e+08 4.3775711280381048e+08 4.3057310294319427e+08 4.2228447504046112e+08 4.1306517248678333e+08 4.0317377311630076e+08 3.9288958465772206e+08 3.8250266707128507e+08 3.7228843796361572e+08 3.6246819242877114e+08 3.5320733399723774e+08 3.4460691285782272e+08 3.3673006730436182e+08 3.2958488417516530e+08 3.2316900923764056e+08 3.1744369077561474e+08 3.1238444513332099e+08 3.0794042275590557e+08 3.0406330988619411e+08 3.0071659520275092e+08 2.9784777793379951e+08 2.9540373663082647e+08 2.9334866339908397e+08 2.9162800629733467e+08 2.9020992422438425e+08 2.8905165446815830e+08 2.8812052584409040e+08 2.8736687895693254e+08 2.8673987107357115e+08 2.8620732861485291e+08 2.8573529497737831e+08 2.8528518659970552e+08 2.8496514671465331e+08 2.8464150236069202e+08 2.8431105917263752e+08 2.8396487313996851e+08 2.8360772282295626e+08 2.8322884847595865e+08 2.8284354579754931e+08 2.8241373259205270e+08 2.8195374927840233e+08 2.8145513366982716e+08 2.8091127792260557e+08 2.8031415228350973e+08 2.7965471112589997e+08 2.7891945075225413e+08 2.7811248423819441e+08 2.7719960342191219e+08 2.7617611845531601e+08 2.7502718024396586e+08 2.7373680862104130e+08 2.7228852405052364e+08 2.7066579666444087e+08 2.6884985630138028e+08 2.6684570389458227e+08 2.6461469937513483e+08 2.6216602899946296e+08 2.5950535657589561e+08 2.5665355063277304e+08 2.5364611750202850e+08 2.5055063957065043e+08 2.4746723445729131e+08 2.4456295132293078e+08 2.4204160541796562e+08 2.4022895781511280e+08 2.3957639334166721e+08 2.4074144327528238e+08 2.4467945241808996e+08 2.5283822321800932e+08 2.6750935160438961e+08 2.9255859823724180e+08 9.8630740341555685e+07 +6.7327109036344934e+00 4.5557855184690809e+08 4.5553545324290907e+08 4.5546311462269622e+08 4.5537000880021936e+08 4.5528059644209838e+08 4.5523189234715325e+08 4.5523990568625474e+08 4.5527696683124840e+08 4.5531548831084567e+08 4.5535033260794926e+08 4.5538519809046674e+08 4.5542082926771170e+08 4.5545687481556886e+08 4.5549349499158376e+08 4.5553118971563560e+08 4.5557032283926886e+08 4.5561139900809878e+08 4.5565519604195976e+08 4.5570266313029343e+08 4.5575482648759973e+08 4.5581284066391575e+08 4.5587787486611342e+08 4.5595051274596530e+08 4.5603150004410237e+08 4.5612721883344465e+08 4.5624229321659106e+08 4.5637545128845161e+08 4.5652689913590002e+08 4.5669814770536393e+08 4.5689065857906646e+08 4.5710540812814468e+08 4.5734251602475029e+08 4.5760077073441160e+08 4.5787700156345588e+08 4.5816527403468126e+08 4.5845577525393790e+08 4.5873347689758343e+08 4.5897645092055446e+08 4.5915395784556603e+08 4.5922420465213615e+08 4.5911697616758800e+08 4.5873415818392688e+08 4.5796568069334978e+08 4.5667981978494197e+08 4.5472723915689349e+08 4.5195002487007034e+08 4.4819662177010101e+08 4.4334224127376032e+08 4.3731275753322977e+08 4.3010409672088867e+08 4.2179402903598320e+08 4.1255718690959162e+08 4.0265248093474668e+08 3.9235923095639879e+08 3.8196716790369403e+08 3.7175112343366963e+08 3.6193169445076001e+08 3.5267356897897106e+08 3.4407716145174408e+08 3.3620506057561260e+08 3.2906496020014131e+08 3.2265419283111811e+08 3.1693382660962945e+08 3.1187922122473043e+08 3.0743946704675585e+08 3.0356621940254617e+08 3.0022293745033401e+08 2.9735714534295875e+08 2.9491575717013431e+08 2.9286297893709725e+08 2.9114431777489161e+08 2.8972794544354343e+08 2.8857113917411959e+08 2.8764124672993547e+08 2.8688865635355145e+08 2.8626258146223760e+08 2.8573086848902470e+08 2.8525959308165598e+08 2.8481022355203336e+08 2.8449071408804524e+08 2.8416760777219886e+08 2.8383771463122869e+08 2.8349210511547428e+08 2.8313554965445215e+08 2.8275730748884708e+08 2.8237264319885045e+08 2.8194354585649252e+08 2.8148432863394368e+08 2.8098654343263704e+08 2.8044359340936095e+08 2.7984746217982394e+08 2.7918911917667395e+08 2.7845508430173111e+08 2.7764945823677492e+08 2.7673809752105743e+08 2.7571631679475045e+08 2.7456929168439645e+08 2.7328106862903458e+08 2.7183519552775353e+08 2.7021517003387487e+08 2.6840225431226990e+08 2.6640143563515669e+08 2.6417414572445080e+08 2.6172955234234819e+08 2.5907330986849105e+08 2.5622625208732522e+08 2.5322382621647087e+08 2.5013350212679586e+08 2.4705523174271226e+08 2.4415578120820320e+08 2.4163863329704198e+08 2.3982900378336266e+08 2.3917752695278203e+08 2.4034063745947233e+08 2.4427209002749541e+08 2.5241727717961949e+08 2.6706398107924366e+08 2.9207151957407892e+08 9.8358930981992811e+07 +6.7376792264087513e+00 4.5546544087061346e+08 4.5542234638675773e+08 4.5535001721245056e+08 4.5525691420361954e+08 4.5516749218794990e+08 4.5511875506197006e+08 4.5512670886710048e+08 4.5516369092678928e+08 4.5520211746101385e+08 4.5523684841264743e+08 4.5527157732770550e+08 4.5530704459077877e+08 4.5534289422106194e+08 4.5537928087161213e+08 4.5541669785430628e+08 4.5545550149336165e+08 4.5549618717384738e+08 4.5553952164273256e+08 4.5558644103668606e+08 4.5563795624892575e+08 4.5569520390152258e+08 4.5575933209149200e+08 4.5583089689844978e+08 4.5591059723583770e+08 4.5600475454546130e+08 4.5611795848073035e+08 4.5624890837656087e+08 4.5639776208722544e+08 4.5656596867510360e+08 4.5675491795628619e+08 4.5696550455790854e+08 4.5719775575263739e+08 4.5745035637975621e+08 4.5772002068462437e+08 4.5800068800808603e+08 4.5828240933306354e+08 4.5855001263857371e+08 4.5878142268521547e+08 4.5894575562730718e+08 4.5900108621468455e+08 4.5887576707296151e+08 4.5847264593728894e+08 4.5768166168922555e+08 4.5637122171314639e+08 4.5439228013498700e+08 4.5158740305284345e+08 4.4780571820618814e+08 4.4292330594789672e+08 4.3686703748030615e+08 4.2963386770913512e+08 4.2130250517615205e+08 4.1204826646557736e+08 4.0213039019813734e+08 3.9182820434495324e+08 3.8143110811452955e+08 3.7121334596593928e+08 3.6139481667012143e+08 3.5213949376575148e+08 3.4354715749838555e+08 3.3567984878239292e+08 3.2854487018370783e+08 3.2213924249236721e+08 3.1642385496644455e+08 3.1137391170167840e+08 3.0693844380114383e+08 3.0306907630972403e+08 2.9972923939013630e+08 2.9686648248976099e+08 2.9442775555033237e+08 2.9237727874890023e+08 2.9066061847884417e+08 2.8924595959621006e+08 2.8809061945756656e+08 2.8716196497822732e+08 2.8641043223879033e+08 2.8578529097009671e+08 2.8525440780740851e+08 2.8478389078739560e+08 2.8433526016596252e+08 2.8401628113725257e+08 2.8369371286430985e+08 2.8336436977110815e+08 2.8301933677222604e+08 2.8266337616611761e+08 2.8228576617469591e+08 2.8190174029029191e+08 2.8147335881022364e+08 2.8101490767775750e+08 2.8051795288258845e+08 2.7997590858268434e+08 2.7938077176189500e+08 2.7872352691235131e+08 2.7799071752909994e+08 2.7718643193120116e+08 2.7627659131583548e+08 2.7525651482913941e+08 2.7411140281983328e+08 2.7282532833178210e+08 2.7138186670033938e+08 2.6976454309877735e+08 2.6795465201329818e+08 2.6595716708452821e+08 2.6373359178346083e+08 2.6129307539655811e+08 2.5864126287410027e+08 2.5579895325671116e+08 2.5280153464776111e+08 2.4971636440167007e+08 2.4664322874366170e+08 2.4374861082726234e+08 2.4123566091126969e+08 2.3942904948748419e+08 2.3877866029371518e+08 2.3993983137101081e+08 2.4386472736115041e+08 2.5199633085747519e+08 2.6661861024718162e+08 2.9158444059850568e+08 9.8087713331704006e+07 +6.7426475491830091e+00 4.5535000107703769e+08 4.5530690951569974e+08 4.5523458906770635e+08 4.5514148891985059e+08 4.5505205804706687e+08 4.5500328821839839e+08 4.5501118254827815e+08 4.5504808544938964e+08 4.5508641698947048e+08 4.5512103459257215e+08 4.5515562698244685e+08 4.5519093041818720e+08 4.5522658427177829e+08 4.5526273760269368e+08 4.5529987712358004e+08 4.5533835164272565e+08 4.5537864729838616e+08 4.5542151978045660e+08 4.5546789219062740e+08 4.5551876012365484e+08 4.5557524230065602e+08 4.5563846573996055e+08 4.5570895899729341e+08 4.5578737424410725e+08 4.5587997236411107e+08 4.5599130860413885e+08 4.5612005360570884e+08 4.5626631708650398e+08 4.5643148634304947e+08 4.5661687956625843e+08 4.5682330980918449e+08 4.5705071214836049e+08 4.5729766804562366e+08 4.5756077698099464e+08 4.5783385247127217e+08 4.5810680980623782e+08 4.5836433378402716e+08 4.5858420258606648e+08 4.5873538872021478e+08 4.5877583555330825e+08 4.5863246763522434e+08 4.5820909377863288e+08 4.5739566317387980e+08 4.5606071590719420e+08 4.5405549775988477e+08 4.5122305568104184e+08 4.4741320042039537e+08 4.4250288038792276e+08 4.3641996175095075e+08 4.2916242481793815e+08 4.2080991210098982e+08 4.1153841946255416e+08 4.0160750883576477e+08 3.9129651234640312e+08 3.8089449481560439e+08 3.7067511227184504e+08 3.6085756542414224e+08 3.5160511435277534e+08 3.4301690668921942e+08 3.3515443734889328e+08 3.2802461931785190e+08 3.2162416321287447e+08 3.1591378066455889e+08 3.1086852123581362e+08 3.0643735756455362e+08 3.0257188504648614e+08 2.9923550537126172e+08 2.9637579364758158e+08 2.9393973598287302e+08 2.9189156699429107e+08 2.9017691252809924e+08 2.8876397076867825e+08 2.8761009937941408e+08 2.8668268463040406e+08 2.8593221063981539e+08 2.8530800361326706e+08 2.8477795057766783e+08 2.8430819209507269e+08 2.8386030043563259e+08 2.8354185185146487e+08 2.8321982162158000e+08 2.8289102857320601e+08 2.8254657208532602e+08 2.8219120632836491e+08 2.8181422849845427e+08 2.8143084103166246e+08 2.8100317540695274e+08 2.8054549035716903e+08 2.8004936596016091e+08 2.7950822737508065e+08 2.7891408495374250e+08 2.7825793824793106e+08 2.7752635433935326e+08 2.7672340921491575e+08 2.7581508868651772e+08 2.7479671642489910e+08 2.7365351750032640e+08 2.7236959156176537e+08 2.7092854137985504e+08 2.6931391964866281e+08 2.6750705316866064e+08 2.6551290197832200e+08 2.6329304125712159e+08 2.6085660183216429e+08 2.5820921922547802e+08 2.5537165773361051e+08 2.5237924634647918e+08 2.4929922990315121e+08 2.4623122892471471e+08 2.4334144360374874e+08 2.4083269164904290e+08 2.3902909829046831e+08 2.3837979671855164e+08 2.3953902837998140e+08 2.4345736784445617e+08 2.5157538779151613e+08 2.6617324285326204e+08 2.9109736540611112e+08 9.7817086849317834e+07 +6.7476158719572670e+00 4.5523223606888628e+08 4.5518915061593676e+08 4.5511683665052217e+08 4.5502374114388394e+08 4.5493430177808684e+08 4.5488549960710758e+08 4.5489333453434670e+08 4.5493015819952863e+08 4.5496839470000756e+08 4.5500289895210081e+08 4.5503735486114520e+08 4.5507249455792648e+08 4.5510795277790964e+08 4.5514387299700177e+08 4.5518073533804971e+08 4.5521888110507095e+08 4.5525878720376551e+08 4.5530119828130054e+08 4.5534702442316151e+08 4.5539724594976473e+08 4.5545296370648342e+08 4.5551528366506958e+08 4.5558470690619904e+08 4.5566183894242758e+08 4.5575288017794371e+08 4.5586235149225765e+08 4.5598889490104306e+08 4.5613257208193433e+08 4.5629470868405664e+08 4.5647655141403902e+08 4.5667883192269099e+08 4.5690139329540420e+08 4.5714271386266476e+08 4.5739927863746291e+08 4.5766477567025995e+08 4.5792898498995119e+08 4.5817644872944772e+08 4.5838479910355121e+08 4.5852286570077509e+08 4.5854846134683341e+08 4.5838708664828247e+08 4.5794351061925161e+08 4.5710769417366064e+08 4.5574831149706537e+08 4.5371690124348998e+08 4.5085699201621646e+08 4.4701907767742312e+08 4.4208097380460733e+08 4.3597153943201447e+08 4.2868977693594110e+08 4.2031625842916644e+08 4.1102765418628961e+08 4.0108384475323004e+08 3.9076416246116710e+08 3.8035733509502447e+08 3.7013642903987861e+08 3.6031994702621478e+08 3.5107043671355468e+08 3.4248641469363332e+08 3.3462883167797446e+08 3.2750421277358365e+08 3.2110895996321994e+08 3.1540360850269586e+08 3.1036305447896791e+08 3.0593621286341780e+08 3.0207465003338808e+08 2.9874173972449523e+08 2.9588508307260448e+08 2.9345170266086346e+08 2.9140584781587422e+08 2.8969320402380002e+08 2.8828198302957135e+08 2.8712958298313385e+08 2.8620340971124142e+08 2.8545399556664377e+08 2.8483072339103824e+08 2.8430150079010224e+08 2.8383250098791784e+08 2.8338534833768010e+08 2.8306743020330924e+08 2.8274593801228851e+08 2.8241769500006622e+08 2.8207381501350123e+08 2.8171904409459484e+08 2.8134269840840799e+08 2.8095994936603832e+08 2.8053299958337921e+08 2.8007608060242778e+08 2.7958078658891296e+08 2.7904055370243979e+08 2.7844740566313791e+08 2.7779235708188039e+08 2.7706199862072432e+08 2.7626039396490616e+08 2.7535359349744922e+08 2.7433692543200403e+08 2.7319563956007296e+08 2.7191386213477850e+08 2.7047522336232078e+08 2.6886330345631260e+08 2.6705946152574509e+08 2.6506864403670371e+08 2.6285249783358014e+08 2.6042013530370876e+08 2.5777718254014698e+08 2.5494436909610629e+08 2.5195696484886751e+08 2.4888210212382218e+08 2.4581923573546246e+08 2.4293428294679186e+08 2.4042972888450128e+08 2.3862915354124701e+08 2.3798093956700689e+08 2.3913823184262833e+08 2.4305001488824552e+08 2.5115445150630444e+08 2.6572788262685859e+08 2.9061029807561398e+08 9.7547050989835054e+07 +6.7525841947315248e+00 4.5511215470582128e+08 4.5506907667859375e+08 4.5499676802618319e+08 4.5490367891016233e+08 4.5481423120096344e+08 4.5476539702019459e+08 4.5477317263316095e+08 4.5480991698143804e+08 4.5484805839733201e+08 4.5488244929915470e+08 4.5491676877179152e+08 4.5495174482032984e+08 4.5498700755211943e+08 4.5502269487007880e+08 4.5505928031648052e+08 4.5509709770259291e+08 4.5513661471527982e+08 4.5517856497509521e+08 4.5522384556986177e+08 4.5527342156831098e+08 4.5532837596625251e+08 4.5538979372251266e+08 4.5545814849104786e+08 4.5553399920895398e+08 4.5562348587804031e+08 4.5573109505254185e+08 4.5585544018969631e+08 4.5599653502314633e+08 4.5615564367389297e+08 4.5633394150765371e+08 4.5653207894157046e+08 4.5674980727762234e+08 4.5698550196183211e+08 4.5723553383894920e+08 4.5749346585231608e+08 4.5774894320077980e+08 4.5798636586811292e+08 4.5818322071809071e+08 4.5830819514281833e+08 4.5831897226927269e+08 4.5813963289944655e+08 4.5767590536417717e+08 4.5681776370619214e+08 4.5543401760248327e+08 4.5337649978634197e+08 4.5048922130730051e+08 4.4662335922835785e+08 4.4165759539185715e+08 4.3552177959130639e+08 4.2821593293048453e+08 4.1982155275596356e+08 4.1051597889839679e+08 4.0055940583223063e+08 3.9023116216412514e+08 3.7981963601633197e+08 3.6959730293459123e+08 3.5978196776755220e+08 3.5053546679884732e+08 3.4195568715950775e+08 3.3410303715163171e+08 3.2698365570134801e+08 3.2059363769443798e+08 3.1489334326076740e+08 3.0985751606442893e+08 3.0543501420601404e+08 3.0157737567243749e+08 2.9824794676207644e+08 2.9539435500220549e+08 2.9296365976013565e+08 2.9092012533876628e+08 2.8920949705016881e+08 2.8780000043040603e+08 2.8664907429493153e+08 2.8572414422765499e+08 2.8497579101213866e+08 2.8435345428519803e+08 2.8382506241844797e+08 2.8335682143261456e+08 2.8291040783222425e+08 2.8259302014794594e+08 2.8227206598753572e+08 2.8194437299855644e+08 2.8160106949799991e+08 2.8124689340165633e+08 2.8087117983604288e+08 2.8048906921921909e+08 2.8006283525979722e+08 2.7960668232729930e+08 2.7911221867529589e+08 2.7857289146385592e+08 2.7798073778089613e+08 2.7732678729601187e+08 2.7659765424468553e+08 2.7579739004113972e+08 2.7489210959602553e+08 2.7387714568388128e+08 2.7273777281628793e+08 2.7145814385015953e+08 2.7002191642691052e+08 2.6841269827891597e+08 2.6661188081665131e+08 2.6462439696305183e+08 2.6241196518625948e+08 2.5998367945038038e+08 2.5734515642018086e+08 2.5451709090634054e+08 2.5153469367538732e+08 2.4846498454117563e+08 2.4540725261092758e+08 2.4252713225123250e+08 2.4002677597728252e+08 2.3822921857400772e+08 2.3758209216444227e+08 2.3873744510019770e+08 2.4264267188863775e+08 2.5073352551096278e+08 2.6528253328089055e+08 2.9012324266732121e+08 9.7277605204656050e+07 +6.7575525175057827e+00 4.5498976437249279e+08 4.5494669265945566e+08 4.5487439169074672e+08 4.5478130983101398e+08 4.5469185416907877e+08 4.5464298825171781e+08 4.5465070465404433e+08 4.5468736960298818e+08 4.5472541589131790e+08 4.5475969344452560e+08 4.5479387652692366e+08 4.5482868901927131e+08 4.5486375641051352e+08 4.5489921104015303e+08 4.5493551987968403e+08 4.5497300925940418e+08 4.5501213766147274e+08 4.5505362769485885e+08 4.5509836346835136e+08 4.5514729482318473e+08 4.5520148693162262e+08 4.5526200377155226e+08 4.5532929162011689e+08 4.5540386292325944e+08 4.5549179735826010e+08 4.5559754719559896e+08 4.5571969740099525e+08 4.5585821386313963e+08 4.5601429929220659e+08 4.5618905785550612e+08 4.5638305891050065e+08 4.5659596218033570e+08 4.5682604047569793e+08 4.5706955077166831e+08 4.5731993126431197e+08 4.5756669275363261e+08 4.5779409359273511e+08 4.5797947590723073e+08 4.5809138561717206e+08 4.5808737699130332e+08 4.5789011517351854e+08 4.5740628691122681e+08 4.5652588078186363e+08 4.5511784333375329e+08 4.5303430257848895e+08 4.5011975278991109e+08 4.4622605430833328e+08 4.4123275432498175e+08 4.3507069127683789e+08 4.2774090164839202e+08 4.1932580365535790e+08 4.1000340183691239e+08 4.0003419993044919e+08 3.8969751890668356e+08 3.7928140461923504e+08 3.6905774059705216e+08 3.5924363391598088e+08 3.5000021053702027e+08 3.4142472971263808e+08 3.3357705912960517e+08 3.2646295323094362e+08 3.2007820133768767e+08 3.1438298969895947e+08 3.0935191060579747e+08 3.0493376608185321e+08 3.0108006634738547e+08 2.9775413077874476e+08 2.9490361365646410e+08 2.9247561143873739e+08 2.9043440366979778e+08 2.8872579567354333e+08 2.8731802700514346e+08 2.8616857732388866e+08 2.8524489216968179e+08 2.8449760095182306e+08 2.8387620026058406e+08 2.8334863941908741e+08 2.8288115737819242e+08 2.8243548286209875e+08 2.8211862562418336e+08 2.8179820948077947e+08 2.8147106649782979e+08 2.8112833946362591e+08 2.8077475816870040e+08 2.8039967669549060e+08 2.8001820450016612e+08 2.7959268633900666e+08 2.7913729942842585e+08 2.7864366610946870e+08 2.7810524454190058e+08 2.7751408518105125e+08 2.7686123275513524e+08 2.7613332506600457e+08 2.7533440128760320e+08 2.7443064081362408e+08 2.7341738099739581e+08 2.7227992107008368e+08 2.7100244049155474e+08 2.6956862433701891e+08 2.6796210785719001e+08 2.6616431475697452e+08 2.6418016444578946e+08 2.6197144697208565e+08 2.5954723789535147e+08 2.5691314445208365e+08 2.5408982671175981e+08 2.5111243633172759e+08 2.4804788061850238e+08 2.4499528297137806e+08 2.4211999489671892e+08 2.3962383627229175e+08 2.3782929670899546e+08 2.3718325782205698e+08 2.3833667147994521e+08 2.4223534222752181e+08 2.5031261330049020e+08 2.6483719851275381e+08 2.8963620322478080e+08 9.7008748941608876e+07 +6.7625208402800405e+00 4.5486507250286269e+08 4.5482200609531844e+08 4.5474971744850349e+08 4.5465664135053277e+08 4.5456717850383300e+08 4.5451828110322762e+08 4.5452593840815383e+08 4.5456252387438136e+08 4.5460047499292767e+08 4.5463463920152664e+08 4.5466868594176269e+08 4.5470333497216821e+08 4.5473820717261565e+08 4.5477342932896078e+08 4.5480946185287273e+08 4.5484662360370481e+08 4.5488536387403202e+08 4.5492639427602398e+08 4.5497058595929980e+08 4.5501887356057847e+08 4.5507230445569587e+08 4.5513192167363226e+08 4.5519814416505754e+08 4.5527143796848315e+08 4.5535782251495332e+08 4.5546171583380687e+08 4.5558167446720552e+08 4.5571761655544811e+08 4.5587068351844496e+08 4.5604190846894157e+08 4.5623177987531042e+08 4.5643986608989120e+08 4.5666433753697067e+08 4.5690133762127465e+08 4.5714418015269482e+08 4.5738224196427071e+08 4.5759964029475689e+08 4.5777357314710367e+08 4.5787244569198072e+08 4.5785368418051720e+08 4.5763854224866205e+08 4.5713466415404874e+08 4.5623205440255439e+08 4.5479979779174507e+08 4.5269031879790187e+08 4.4974859568615282e+08 4.4582717213708365e+08 4.4080645976341277e+08 4.3461828351737761e+08 4.2726469191551685e+08 4.1882901967831260e+08 4.0948993121729249e+08 3.9950823488203007e+08 3.8916324011681056e+08 3.7874264792034155e+08 3.6851774864450395e+08 3.5870495171639621e+08 3.4946467383383924e+08 3.4089354795713085e+08 3.3305090295160258e+08 3.2594211047189307e+08 3.1956265580445361e+08 3.1387255255770904e+08 3.0884624269823062e+08 3.0443247296134365e+08 3.0058272642325777e+08 2.9726029605092365e+08 2.9441286323709053e+08 2.9198756183675575e+08 2.8994868689928603e+08 2.8824210394266826e+08 2.8683606677049369e+08 2.8568809606174785e+08 2.8476565751012450e+08 2.8401942934464687e+08 2.8339896526530975e+08 2.8287223573122317e+08 2.8240551275725549e+08 2.8196057735340279e+08 2.8164425055331385e+08 2.8132437240957457e+08 2.8099777941034722e+08 2.8065562881821531e+08 2.8030264229910272e+08 2.7992819288449275e+08 2.7954735910131824e+08 2.7912255670741874e+08 2.7866793578604990e+08 2.7817513276438403e+08 2.7763761680215317e+08 2.7704745172123384e+08 2.7639569730764931e+08 2.7566901492334229e+08 2.7487143153117746e+08 2.7396919096465194e+08 2.7295763517302513e+08 2.7182208810629529e+08 2.7054675582570690e+08 2.6911535083972138e+08 2.6751153591572887e+08 2.6571676704657492e+08 2.6373595015680254e+08 2.6153094683246434e+08 2.5911081424633586e+08 2.5648115020694539e+08 2.5366258004398981e+08 2.5069019630828956e+08 2.4763079380328760e+08 2.4458333022210479e+08 2.4171287424894106e+08 2.3922091310060957e+08 2.3742939125208253e+08 2.3678443983657360e+08 2.3793591429518315e+08 2.4182802927179533e+08 2.4989171835371345e+08 2.6439188200360152e+08 2.8914918377363062e+08 9.6740481644976094e+07 +6.7674891630542984e+00 4.5473809321321267e+08 4.5469503029148436e+08 4.5462275083565813e+08 4.5452968112041271e+08 4.5444021196921122e+08 4.5439128338613421e+08 4.5439888170979071e+08 4.5443538760981882e+08 4.5447324351725090e+08 4.5450729438704407e+08 4.5454120483405298e+08 4.5457569049837601e+08 4.5461036766007423e+08 4.5464535756045532e+08 4.5468111406274486e+08 4.5471794856520057e+08 4.5475630118622094e+08 4.5479687255720252e+08 4.5484052088619739e+08 4.5488816563044238e+08 4.5494083639426160e+08 4.5499955529340136e+08 4.5506471399945074e+08 4.5513673222901154e+08 4.5522156924629748e+08 4.5532360888190860e+08 4.5544137932205552e+08 4.5557475105685651e+08 4.5572480433530539e+08 4.5589250135994995e+08 4.5607824988358623e+08 4.5628152709421015e+08 4.5650040127962762e+08 4.5673090257537943e+08 4.5696622076435429e+08 4.5719559914701265e+08 4.5740301436442000e+08 4.5756552091161883e+08 4.5765138393241584e+08 4.5761790249985349e+08 4.5738492289924318e+08 4.5686104597803438e+08 4.5593629356322908e+08 4.5447989006774515e+08 4.5234455761078936e+08 4.4937575920429063e+08 4.4542672191886795e+08 4.4037872084764332e+08 4.3416456532251084e+08 4.2678731253634298e+08 4.1833120935373485e+08 4.0897557523163503e+08 3.9898151849653745e+08 3.8862833319742197e+08 3.7820337291118878e+08 3.6797733367105293e+08 3.5816592739029330e+08 3.4892886257283974e+08 3.4036214747546047e+08 3.3252457393613195e+08 3.2542113251283252e+08 3.1904700598457414e+08 3.1336203655806649e+08 3.0834051691721988e+08 3.0393113929635954e+08 3.0008536024669641e+08 2.9676644683636123e+08 2.9392210792842394e+08 2.9149951507693815e+08 2.8946297909911531e+08 2.8775842588954425e+08 2.8635412372614658e+08 2.8520763448292273e+08 2.8428644420470190e+08 2.8354128013182795e+08 2.8292175322985607e+08 2.8239585527735519e+08 2.8192989148507518e+08 2.8148569521489322e+08 2.8116989883994061e+08 2.8085055867331570e+08 2.8052451563185579e+08 2.8018294145232648e+08 2.7983054967848545e+08 2.7945673228403437e+08 2.7907653689799654e+08 2.7865245023467088e+08 2.7819859526309508e+08 2.7770662249653530e+08 2.7717001209351516e+08 2.7658084124232143e+08 2.7593018478574193e+08 2.7520472763795501e+08 2.7440848458277500e+08 2.7350776384730178e+08 2.7249791199495655e+08 2.7136427769305545e+08 2.7009109360340273e+08 2.6866209966567403e+08 2.6706098616322857e+08 2.6526924136895680e+08 2.6329175775245109e+08 2.6109046839322993e+08 2.5867441209548423e+08 2.5604917724048665e+08 2.5323535441990730e+08 2.5026797708053896e+08 2.4721372752867952e+08 2.4417139775404480e+08 2.4130577365885389e+08 2.3881800977847469e+08 2.3702950549498826e+08 2.3638564149077925e+08 2.3753517684409305e+08 2.4142073637412798e+08 2.4947084413531381e+08 2.6394658741887644e+08 2.8866218832257336e+08 9.6472802755522281e+07 +6.7724574858285562e+00 4.5460882629776698e+08 4.5456576946001416e+08 4.5449350026464838e+08 4.5440043707779568e+08 4.5431096230729198e+08 4.5426200292628711e+08 4.5426954237152267e+08 4.5430596862585336e+08 4.5434372928117877e+08 4.5437766682042933e+08 4.5441144102459615e+08 4.5444576342011851e+08 4.5448024569721407e+08 4.5451500356199586e+08 4.5455048433909643e+08 4.5458699197663689e+08 4.5462495743536162e+08 4.5466507037951440e+08 4.5470817609510350e+08 4.5475517888394666e+08 4.5480709060690475e+08 4.5486491249750841e+08 4.5492900899915808e+08 4.5499975359216249e+08 4.5508304545363271e+08 4.5518323425731874e+08 4.5529881990156919e+08 4.5542962532515281e+08 4.5557666972629404e+08 4.5574084454197848e+08 4.5592247698329860e+08 4.5612095328120512e+08 4.5633423983776015e+08 4.5655825381966013e+08 4.5678606134505332e+08 4.5700677261484522e+08 4.5720422418990517e+08 4.5735532767163539e+08 4.5742820890050167e+08 4.5738004060837823e+08 4.5712926589289379e+08 4.5658544126201648e+08 4.5563860724947602e+08 4.5415812924315995e+08 4.5199702817236346e+08 4.4900125253917950e+08 4.4502471284187907e+08 4.3994954670126480e+08 4.3370954568195498e+08 4.2630877229400897e+08 4.1783238118780106e+08 4.0846034204769009e+08 3.9845405856002909e+08 3.8809280552783370e+08 3.7766358656029826e+08 3.6743650224698687e+08 3.5762656713664681e+08 3.4839278261566854e+08 3.3983053382877642e+08 3.3199807738032234e+08 3.2490002442305261e+08 3.1853125675022388e+08 3.1285144640185255e+08 3.0783473781959552e+08 3.0342976952004236e+08 2.9958797214628160e+08 2.9627258737558311e+08 2.9343135189657187e+08 2.9101147526421255e+08 2.8897728432410014e+08 2.8727476552817363e+08 2.8587220185430664e+08 2.8472719654480940e+08 2.8380725619202513e+08 2.8306315723807174e+08 2.8244456806794852e+08 2.8191950196286416e+08 2.8145429746004337e+08 2.8101084033882517e+08 2.8069557437164468e+08 2.8037677215600228e+08 2.8005127904080677e+08 2.7971028124016029e+08 2.7935848417597139e+08 2.7898529875794870e+08 2.7860574174886250e+08 2.7818237077370787e+08 2.7772928170647007e+08 2.7723813914579630e+08 2.7670243424849176e+08 2.7611425756838804e+08 2.7546469900399995e+08 2.7474046701536131e+08 2.7394556423642480e+08 2.7304636324324501e+08 2.7203821523083228e+08 2.7090649358243769e+08 2.6963545755885112e+08 2.6820887452972698e+08 2.6661046229238331e+08 2.6482174139216909e+08 2.6284759087292308e+08 2.6065001526404336e+08 2.5823803501930413e+08 2.5561722909294668e+08 2.5280815334082317e+08 2.4984578210878924e+08 2.4679668521278322e+08 2.4375948894321033e+08 2.4089869646289638e+08 2.3841512960799530e+08 2.3662964271477124e+08 2.3598686605315098e+08 2.3713446241112974e+08 2.4101346687259936e+08 2.4904999409426564e+08 2.6350131840807408e+08 2.8817522086298394e+08 9.6205711710521504e+07 +6.7774258086028141e+00 4.5447728189888775e+08 4.5443423169312435e+08 4.5436197303863746e+08 4.5426891730344576e+08 4.5417943728931838e+08 4.5413044756108248e+08 4.5413792820953858e+08 4.5417427474194562e+08 4.5421194010484713e+08 4.5424576432306969e+08 4.5427940233659786e+08 4.5431356156284732e+08 4.5434784911180043e+08 4.5438237516281515e+08 4.5441758051401192e+08 4.5445376167432439e+08 4.5449134046013719e+08 4.5453099558572686e+08 4.5457355943446696e+08 4.5461992117587280e+08 4.5467107495400923e+08 4.5472800115462059e+08 4.5479103704313350e+08 4.5486050994796979e+08 4.5494225903945076e+08 4.5504059987866384e+08 4.5515400414320940e+08 4.5528224731981999e+08 4.5542628767700273e+08 4.5558694603086823e+08 4.5576446922335941e+08 4.5595815273976767e+08 4.5616586134601760e+08 4.5638339954138631e+08 4.5660371014100057e+08 4.5681577068033195e+08 4.5700327815821707e+08 4.5714300189700186e+08 4.5720292915532005e+08 4.5714010716051370e+08 4.5687157999295783e+08 4.5630785887886947e+08 4.5533900443950123e+08 4.5383452438872308e+08 4.5164773962556010e+08 4.4862508487220269e+08 4.4462115407919592e+08 4.3951894642999601e+08 4.3325323356646121e+08 4.2582907995103192e+08 4.1733254366428226e+08 4.0794423981066179e+08 3.9792586283476657e+08 3.8755666446294940e+08 3.7712329581148225e+08 3.6689526091901553e+08 3.5708687713128984e+08 3.4785643980124605e+08 3.3929871255559599e+08 3.3147141856059754e+08 3.2437879124940479e+08 3.1801541295200264e+08 3.1234078677100676e+08 3.0732890994301736e+08 3.0292836804723430e+08 2.9909056643248504e+08 2.9577872189073145e+08 2.9294059929000342e+08 2.9052344648567855e+08 2.8849160661145335e+08 2.8679112685562998e+08 2.8539030511985230e+08 2.8424678618781638e+08 2.8332809739344627e+08 2.8258506457034594e+08 2.8196741367645723e+08 2.8144317967598373e+08 2.8097873456355029e+08 2.8053601659999073e+08 2.8022128101905894e+08 2.7990301672344917e+08 2.7957807349931782e+08 2.7923765203863639e+08 2.7888644964402103e+08 2.7851389615329218e+08 2.7813497749583137e+08 2.7771232216029584e+08 2.7725999894578582e+08 2.7676968653504902e+08 2.7623488708255792e+08 2.7564770450669694e+08 2.7499924376155829e+08 2.7427623684409225e+08 2.7348267426964438e+08 2.7258499291765660e+08 2.7157854863201153e+08 2.7044873951026833e+08 2.6917985141036874e+08 2.6775567913031512e+08 2.6615996797942531e+08 2.6437427076793545e+08 2.6240345314292961e+08 2.6020959103945300e+08 2.5780168657881969e+08 2.5518530928935823e+08 2.5238098029254639e+08 2.4942361483845204e+08 2.4637967025892320e+08 2.4334760715112659e+08 2.4049164598267961e+08 2.3801227587659937e+08 2.3622980617449221e+08 2.3558811677764499e+08 2.3673377426632294e+08 2.4060622409056798e+08 2.4862917166553548e+08 2.6305607860470438e+08 2.8768828536848152e+08 9.5939207943783864e+07 +6.7823941313770719e+00 4.5434346755117130e+08 4.5430042825910640e+08 4.5422817778745604e+08 4.5413512962236762e+08 4.5404564474652410e+08 4.5399662513517565e+08 4.5400404704048216e+08 4.5404031378029263e+08 4.5407788381040251e+08 4.5411159471944910e+08 4.5414509659538430e+08 4.5417909275397074e+08 4.5421318573275179e+08 4.5424748019498307e+08 4.5428241042243278e+08 4.5431826549544299e+08 4.5435545810212749e+08 4.5439465602177495e+08 4.5443667875442392e+08 4.5448240036219996e+08 4.5453279729888982e+08 4.5458882913591349e+08 4.5465080601085007e+08 4.5471900918709826e+08 4.5479921790857214e+08 4.5489571366626436e+08 4.5500693998644698e+08 4.5513262500242251e+08 4.5527366617399728e+08 4.5543081384202528e+08 4.5560423465464741e+08 4.5579313355981952e+08 4.5599527393902469e+08 4.5620634792660391e+08 4.5641917539740682e+08 4.5662260165515727e+08 4.5680018465463132e+08 4.5692855205400664e+08 4.5697555325210756e+08 4.5689811080752832e+08 4.5661187395719731e+08 4.5602830769460607e+08 4.5503749410255665e+08 4.5350908456688005e+08 4.5129670110101247e+08 4.4824726537076217e+08 4.4421605478754473e+08 4.3908692912177247e+08 4.3279563792631352e+08 4.2534824424841291e+08 4.1683170524443156e+08 4.0742727664196086e+08 3.9739693905846494e+08 3.8701991733411866e+08 3.7658250758503062e+08 3.6635361621079403e+08 3.5654686352732778e+08 3.4731983994580799e+08 3.3876668917382091e+08 3.3094460273189926e+08 3.2385743802008253e+08 3.1749947942163712e+08 3.1183006232853055e+08 3.0682303780650312e+08 3.0242693927390975e+08 2.9859314739670521e+08 2.9528485458537751e+08 2.9244985423921126e+08 2.9003543281107128e+08 2.8800594998128045e+08 2.8630751385168451e+08 2.8490843747060722e+08 2.8376640733485842e+08 2.8284897171360540e+08 2.8210700601956803e+08 2.8149029393508494e+08 2.8096689228843099e+08 2.8050320665999979e+08 2.8006122785704666e+08 2.7974702263647467e+08 2.7942929622527516e+08 2.7910490285211784e+08 2.7876505768829840e+08 2.7841444991800499e+08 2.7804252830064017e+08 2.7766424796396309e+08 2.7724230821381962e+08 2.7679075079414093e+08 2.7630126847060114e+08 2.7576737439489049e+08 2.7518118584876412e+08 2.7453382284004450e+08 2.7381204089626932e+08 2.7301981844364285e+08 2.7212365661942309e+08 2.7111891593345428e+08 2.6999101919582731e+08 2.6872427886035752e+08 2.6730251715002558e+08 2.6570950688486156e+08 2.6392683313232443e+08 2.6195934817131525e+08 2.5976919929804516e+08 2.5736537031964982e+08 2.5475342133889708e+08 2.5195383874641243e+08 2.4900147869956684e+08 2.4596268605546358e+08 2.4293575572436893e+08 2.4008462552606949e+08 2.3760945185793447e+08 2.3582999912298262e+08 2.3518939690444881e+08 2.3633311566563982e+08 2.4019901133723739e+08 2.4820838026792973e+08 2.6261087162681994e+08 2.8720138579545581e+08 9.5673290885683030e+07 +6.7873624541513298e+00 4.5420739057969350e+08 4.5416436175186896e+08 4.5409212106404352e+08 4.5399908202983052e+08 4.5390959256502086e+08 4.5386054349256736e+08 4.5386790668361241e+08 4.5390409356529206e+08 4.5394156822176385e+08 4.5397516583554035e+08 4.5400853162920052e+08 4.5404236482222533e+08 4.5407626339203674e+08 4.5411032649219155e+08 4.5414498190094727e+08 4.5418051127979696e+08 4.5421731820476991e+08 4.5425605953569025e+08 4.5429754190818977e+08 4.5434262430111408e+08 4.5439226550625527e+08 4.5444740431447154e+08 4.5450832378516984e+08 4.5457525920325702e+08 4.5465392996701050e+08 4.5474858354239035e+08 4.5485763537216622e+08 4.5498076633503687e+08 4.5511881320497721e+08 4.5527245599269056e+08 4.5544178132818413e+08 4.5562590383122003e+08 4.5582248575171942e+08 4.5602710716166508e+08 4.5623246535812712e+08 4.5642727384814441e+08 4.5659495206172872e+08 4.5671198660656643e+08 4.5674608974267101e+08 4.5665406019572473e+08 4.5635015653702241e+08 4.5574679656780887e+08 4.5473408519994116e+08 4.5318181882810754e+08 4.5094392171900576e+08 4.4786780318759459e+08 4.4380942410800064e+08 4.3865350384647006e+08 4.3233676769250679e+08 4.2486627390591514e+08 4.1632987436694437e+08 4.0690946063960028e+08 3.9686729494591713e+08 3.8648257144799763e+08 3.7604122877763492e+08 3.6581157462193978e+08 3.5600653245461428e+08 3.4678298884357399e+08 3.3823446917871934e+08 3.3041763512868530e+08 3.2333596974221814e+08 3.1698346097009909e+08 3.1131927771781623e+08 3.0631712590937376e+08 3.0192548757732719e+08 2.9809571931275862e+08 2.9479098964601499e+08 2.9195912085711277e+08 2.8954743829278541e+08 2.8752031843552256e+08 2.8582393047815222e+08 2.8442660283725601e+08 2.8328606389195597e+08 2.8236988303957158e+08 2.8162898545867121e+08 2.8101321270661891e+08 2.8049064365445417e+08 2.8002771759739584e+08 2.7958647795124614e+08 2.7927280306053573e+08 2.7895561449399179e+08 2.7863177092758566e+08 2.7829250201252532e+08 2.7794248881648970e+08 2.7757119901357186e+08 2.7719355696175826e+08 2.7677233273696280e+08 2.7632154104785806e+08 2.7583288874244320e+08 2.7529989996768785e+08 2.7471470536851764e+08 2.7406844000527251e+08 2.7334788292755198e+08 2.7255700050309408e+08 2.7166235808071142e+08 2.7065932085382926e+08 2.6953333634270799e+08 2.6826874359385213e+08 2.6684939225482818e+08 2.6525908265347719e+08 2.6347943210515949e+08 2.6151527955096006e+08 2.5932884360268387e+08 2.5692908977174050e+08 2.5432156873614794e+08 2.5152673215816528e+08 2.4857937710767299e+08 2.4554573597612107e+08 2.4252393799523979e+08 2.3967763838576326e+08 2.3720666081093186e+08 2.3543022479495165e+08 2.3479070965937355e+08 2.3593248985024080e+08 2.3979183190691251e+08 2.4778762330599388e+08 2.6216570107630527e+08 2.8671452608325160e+08 9.5407959963182539e+07 +6.7923307769255876e+00 4.5406906450049204e+08 4.5402604061087537e+08 4.5395381283819461e+08 4.5386078241972589e+08 4.5377128866093326e+08 4.5372221047090042e+08 4.5372951495949352e+08 4.5376562192337692e+08 4.5380300116537535e+08 4.5383648549974459e+08 4.5386971526747447e+08 4.5390338559984708e+08 4.5393708992322880e+08 4.5397092189076638e+08 4.5400530278842133e+08 4.5404050686928380e+08 4.5407692861337024e+08 4.5411521397667396e+08 4.5415615674994218e+08 4.5420060085333186e+08 4.5424948744363636e+08 4.5430373456467170e+08 4.5436359824961919e+08 4.5442926789068216e+08 4.5450640312312776e+08 4.5459921743116719e+08 4.5470609824200594e+08 4.5482667928184152e+08 4.5496173675803518e+08 4.5511188050064105e+08 4.5527711729486978e+08 4.5545647164423358e+08 4.5564750491900122e+08 4.5584568543186361e+08 4.5604358826651716e+08 4.5622979556852198e+08 4.5638758876083696e+08 4.5649331401618874e+08 4.5651454717545873e+08 4.5640796396585464e+08 4.5608643647908425e+08 4.5546333434925854e+08 4.5442878668389499e+08 4.5285273621271980e+08 4.5058941058525634e+08 4.4748670746252090e+08 4.4340127116566545e+08 4.3821867965598279e+08 4.3187663177660775e+08 4.2438317762166893e+08 4.1582705944770616e+08 4.0639079987800598e+08 3.9633693818635327e+08 3.8594463408724308e+08 3.7549946626137507e+08 3.6526914262920690e+08 3.5546589002032989e+08 3.4624589226702303e+08 3.3770205804466361e+08 3.2989052096351427e+08 3.2281439140237504e+08 3.1646736238912189e+08 3.1080843756263393e+08 3.0581117873271877e+08 3.0142401731636322e+08 2.9759828643579990e+08 2.9429713124048471e+08 2.9146840323878545e+08 2.8905946696486890e+08 2.8703471595955199e+08 2.8534038068038154e+08 2.8394480513291967e+08 2.8280575974804169e+08 2.8189083524183774e+08 2.8115100674439061e+08 2.8053617383700866e+08 2.8001443761169291e+08 2.7955227120618987e+08 2.7911177070681262e+08 2.7879862611129904e+08 2.7848197534593296e+08 2.7815868153716171e+08 2.7781998881816763e+08 2.7747057014174378e+08 2.7709991208909935e+08 2.7672290828090543e+08 2.7630239951585239e+08 2.7585237348713130e+08 2.7536455112332880e+08 2.7483246756714082e+08 2.7424826682399839e+08 2.7360309900591612e+08 2.7288376667719084e+08 2.7209422417627531e+08 2.7120110101794881e+08 2.7019976709543759e+08 2.6907569463734144e+08 2.6781324928098348e+08 2.6639630809528533e+08 2.6480869891337323e+08 2.6303207129073027e+08 2.6107125085933799e+08 2.5888852750076208e+08 2.5649284844957492e+08 2.5388975495979962e+08 2.5109966396829349e+08 2.4815731346306053e+08 2.4512882337949648e+08 2.4211215728112045e+08 2.3927068784022203e+08 2.3680390598032355e+08 2.3503048641081843e+08 2.3439205825416052e+08 2.3553190004790372e+08 2.3938468908007589e+08 2.4736690416928607e+08 2.6172057053927925e+08 2.8622771015376508e+08 9.5143214599863246e+07 +6.7972990996998455e+00 4.5392849433845854e+08 4.5388547235622621e+08 4.5381325941020280e+08 4.5372023824638307e+08 4.5363074093420172e+08 4.5358163389792711e+08 4.5358887969135976e+08 4.5362490668389368e+08 4.5366219047005993e+08 4.5369556154224360e+08 4.5372865534228063e+08 4.5376216292030013e+08 4.5379567316216135e+08 4.5382927422823024e+08 4.5386338092555743e+08 4.5389826010798824e+08 4.5393429717563075e+08 4.5397212719621176e+08 4.5401253113603866e+08 4.5405633788037968e+08 4.5410447097918195e+08 4.5415782776358759e+08 4.5421663729033893e+08 4.5428104314598161e+08 4.5435664528592777e+08 4.5444762325680006e+08 4.5455233653973675e+08 4.5467037180706835e+08 4.5480244482330155e+08 4.5494909538385004e+08 4.5511025060696679e+08 4.5528484508891946e+08 4.5547033957495099e+08 4.5566209092217946e+08 4.5585255236486369e+08 4.5603017512235153e+08 4.5617810313037497e+08 4.5627254274027807e+08 4.5628093409543896e+08 4.5615983075477207e+08 4.5582072252277803e+08 4.5517792988443255e+08 4.5412160749782670e+08 4.5252184575151801e+08 4.5023317679527599e+08 4.4710398732031083e+08 4.4299160506898975e+08 4.3778246558451670e+08 4.3141523906994301e+08 4.2389896407256436e+08 4.1532326888046217e+08 4.0587130240846330e+08 3.9580587644686711e+08 3.8540611251106030e+08 3.7495722688514340e+08 3.6472632668461359e+08 3.5492494230839711e+08 3.4570855596574950e+08 3.3716946122424442e+08 3.2936326542947018e+08 3.2229270796698684e+08 3.1595118845040548e+08 3.1029754646804279e+08 3.0530520073842263e+08 3.0092253283093369e+08 2.9710085300304246e+08 2.9380328351881421e+08 2.9097770546151066e+08 2.8857152284474212e+08 2.8654914652096009e+08 2.8485686838652426e+08 2.8346304825397760e+08 2.8232549877473611e+08 2.8141183217379260e+08 2.8067307371600962e+08 2.8005918115503013e+08 2.7953827798111582e+08 2.7907687130037445e+08 2.7863710993207175e+08 2.7832449559250164e+08 2.7800838257949531e+08 2.7768563847528261e+08 2.7734752189521629e+08 2.7699869767900717e+08 2.7662867130719906e+08 2.7625230569669157e+08 2.7583251231947649e+08 2.7538325187468749e+08 2.7489625937018108e+08 2.7436508094213545e+08 2.7378187395635909e+08 2.7313780357467246e+08 2.7241969586751115e+08 2.7163149317523229e+08 2.7073988913063991e+08 2.6974025834412467e+08 2.6861809775055844e+08 2.6735779957536092e+08 2.6594326830544931e+08 2.6435835927739838e+08 2.6258475427731648e+08 2.6062726565776786e+08 2.5844825452412948e+08 2.5605664985226053e+08 2.5345798347345728e+08 2.5067263760239941e+08 2.4773529115104634e+08 2.4471195160983753e+08 2.4170041688504404e+08 2.3886377715379840e+08 2.3640119059630585e+08 2.3463078717690796e+08 2.3399344588649696e+08 2.3513134947149065e+08 2.3897758612231317e+08 2.4694622623247930e+08 2.6127548358621937e+08 2.8574094191172475e+08 9.4879054215949327e+07 +6.8022674224741033e+00 4.5378568117438543e+08 4.5374266886716270e+08 4.5367046755624759e+08 4.5357745701573515e+08 4.5348795722410351e+08 4.5343882159039146e+08 4.5344600870353013e+08 4.5348195567696005e+08 4.5351914396613222e+08 4.5355240179501992e+08 4.5358535968706197e+08 4.5361870461868560e+08 4.5365202094643646e+08 4.5368539134487724e+08 4.5371922415461445e+08 4.5375377884123659e+08 4.5378943174045187e+08 4.5382680704810828e+08 4.5386667292462808e+08 4.5390984324656308e+08 4.5395722398378205e+08 4.5400969178847152e+08 4.5406744879313093e+08 4.5413059286709684e+08 4.5420466436641806e+08 4.5429380894635600e+08 4.5439635820969772e+08 4.5451185187621772e+08 4.5464094539100200e+08 4.5478410866178173e+08 4.5494118931599879e+08 4.5511103225604105e+08 4.5529099785429192e+08 4.5547633181752533e+08 4.5565936589468819e+08 4.5582842081519234e+08 4.5596650354698372e+08 4.5604968123434788e+08 4.5604525904216260e+08 4.5590966919470018e+08 4.5555302340292543e+08 4.5489059200971562e+08 4.5381255657712960e+08 4.5218915646483779e+08 4.4987522943150270e+08 4.4671965187190276e+08 4.4258043491069609e+08 4.3734487064797252e+08 4.3095259844347626e+08 4.2341364191427511e+08 4.1481851103546780e+08 4.0535097625817668e+08 3.9527411736878800e+08 3.8486701395351535e+08 3.7441451747303027e+08 3.6418313321791148e+08 3.5438369538004321e+08 3.4517098566693878e+08 3.3663668414848143e+08 3.2883587369719869e+08 3.2177092438193583e+08 3.1543494390607446e+08 3.0978660901905560e+08 3.0479919636946756e+08 3.0042103844325477e+08 2.9660342323296607e+08 2.9330945061336809e+08 2.9048703158481055e+08 2.8808360993150216e+08 2.8606361406962407e+08 2.8437339750624913e+08 2.8298133607958066e+08 2.8184528482706505e+08 2.8093287767170697e+08 2.8019519019612902e+08 2.7958223847302353e+08 2.7906216856653172e+08 2.7860152167725992e+08 2.7816249941735822e+08 2.7785041529070139e+08 2.7753483997747421e+08 2.7721264552007890e+08 2.7687510501713842e+08 2.7652687519659913e+08 2.7615748043170893e+08 2.7578175296710014e+08 2.7536267490073788e+08 2.7491417995746404e+08 2.7442801722256649e+08 2.7389774382564217e+08 2.7331553049064589e+08 2.7267255742765868e+08 2.7195567420525974e+08 2.7116881119525003e+08 2.7027872610223913e+08 2.6928079827034873e+08 2.6816054933738673e+08 2.6690239811403599e+08 2.6549027650357279e+08 2.6390806734188968e+08 2.6213748463762900e+08 2.6018332749202940e+08 2.5800802818878317e+08 2.5562049746351045e+08 2.5302625772518402e+08 2.5024565647077128e+08 2.4731331354187673e+08 2.4429512399657887e+08 2.4128872009528050e+08 2.3845690957621783e+08 2.3599851787563038e+08 2.3423113028521478e+08 2.3359487573976725e+08 2.3473084132002306e+08 2.3857052628483495e+08 2.4652559285508665e+08 2.6083044377188897e+08 2.8525422524447531e+08 9.4615478228335351e+07 +6.8072357452483612e+00 4.5364064025160378e+08 4.5359763747750968e+08 4.5352544544116712e+08 4.5343244681405896e+08 4.5334294531294650e+08 4.5329378136010170e+08 4.5330090982345301e+08 4.5333677673432869e+08 4.5337386948539984e+08 4.5340701409133756e+08 4.5343983613713199e+08 4.5347301853237963e+08 4.5350614111445183e+08 4.5353928108182955e+08 4.5357284031991857e+08 4.5360707091591883e+08 4.5364234015843326e+08 4.5367926138658118e+08 4.5371858997553915e+08 4.5376112481637079e+08 4.5380775432843745e+08 4.5385933451889896e+08 4.5391604064741361e+08 4.5397792495263052e+08 4.5405046827630568e+08 4.5413778242590010e+08 4.5423817119728738e+08 4.5435112745547289e+08 4.5447724645198488e+08 4.5461692835376006e+08 4.5476994147471148e+08 4.5493504123537534e+08 4.5510948789031464e+08 4.5528841630001348e+08 4.5546403709507740e+08 4.5562454094996583e+08 4.5575279838421619e+08 4.5582473795013052e+08 4.5580753055283725e+08 4.5565748791216326e+08 4.5528334784677953e+08 4.5460132955427963e+08 4.5350164284679556e+08 4.5185467736125463e+08 4.4951557756350225e+08 4.4633371021398067e+08 4.4216776976773322e+08 4.3690590384385997e+08 4.3048871874906170e+08 4.2292721978043473e+08 4.1431279426104128e+08 4.0482982943109107e+08 3.9474166857066244e+08 3.8432734562494797e+08 3.7387134482595938e+08 3.6363956863528466e+08 3.5384215527348143e+08 3.4463318707583034e+08 3.3610373222668415e+08 3.2830835091698813e+08 3.2124904557316947e+08 3.1491863348816079e+08 3.0927562978212881e+08 3.0429317004997522e+08 2.9991953845639294e+08 2.9610600132678002e+08 2.9281563663830501e+08 2.8999638565055543e+08 2.8759573220718485e+08 2.8557812253885907e+08 2.8388997193348020e+08 2.8249967247177309e+08 2.8136512174275744e+08 2.8045397555503815e+08 2.7971735999044347e+08 2.7910534958615589e+08 2.7858611315496695e+08 2.7812622611701655e+08 2.7768794293707657e+08 2.7737638897570264e+08 2.7706135130511433e+08 2.7673970643248659e+08 2.7640274194015342e+08 2.7605510644678271e+08 2.7568634320953238e+08 2.7531125383400297e+08 2.7489289099555045e+08 2.7444516146504247e+08 2.7395982840420508e+08 2.7343045993395114e+08 2.7284924013486481e+08 2.7220736426447052e+08 2.7149170538007414e+08 2.7070618191565168e+08 2.6981761559962988e+08 2.6882139052687913e+08 2.6770305303571507e+08 2.6644704851856014e+08 2.6503733629174879e+08 2.6345782668772441e+08 2.6169026592805189e+08 2.5973943989233854e+08 2.5756785199549082e+08 2.5518439475130185e+08 2.5259458114841667e+08 2.4981872396888542e+08 2.4689138399175626e+08 2.4387834385411832e+08 2.4087707018580881e+08 2.3805008834266534e+08 2.3559589101997033e+08 2.3383151891391852e+08 2.3319635098331791e+08 2.3433037877845711e+08 2.3816351280447623e+08 2.4610500738225651e+08 2.6038545463517475e+08 2.8476756402241129e+08 9.4352486050612420e+07 +6.8122040680226190e+00 4.5349337417249650e+08 4.5345038287949473e+08 4.5337820346264613e+08 4.5328521592375386e+08 4.5319571298401147e+08 4.5314652101578236e+08 4.5315359087977034e+08 4.5318937768958014e+08 4.5322637486112732e+08 4.5325940626618862e+08 4.5329209252928740e+08 4.5332511249927914e+08 4.5335804150731772e+08 4.5339095128190333e+08 4.5342423726726180e+08 4.5345814418047214e+08 4.5349303028153551e+08 4.5352949806778520e+08 4.5356829014876878e+08 4.5361019045663458e+08 4.5365606988613582e+08 4.5370676383539373e+08 4.5376242074209005e+08 4.5382304730239278e+08 4.5389406492812479e+08 4.5397955162426949e+08 4.5407778344739258e+08 4.5418820651239800e+08 4.5431135599724638e+08 4.5444756247883499e+08 4.5459651513482034e+08 4.5475688011672574e+08 4.5492581781599689e+08 4.5509835255303377e+08 4.5526657420382714e+08 4.5541854382725555e+08 4.5553699601333910e+08 4.5559772133561444e+08 4.5556775715963507e+08 4.5540329552890188e+08 4.5501170457654619e+08 4.5431015134031302e+08 4.5318887522382206e+08 4.5151841743926144e+08 4.4915423024914527e+08 4.4594617142867273e+08 4.4175361869925141e+08 4.3646557415164232e+08 4.3002360881837422e+08 4.2243970628398520e+08 4.1380612688234997e+08 4.0430786990722632e+08 3.9420853764622951e+08 3.8378711471196312e+08 3.7332771572070265e+08 3.6309563931904733e+08 3.5330032800453967e+08 3.4409516587593496e+08 3.3557061084649318e+08 3.2778070221864307e+08 3.2072707644599462e+08 3.1440226190910935e+08 3.0876461330380791e+08 3.0378712618513948e+08 2.9941803715508133e+08 2.9560859146669656e+08 2.9232184568956959e+08 2.8950577168345898e+08 2.8710789363653082e+08 2.8509267584389335e+08 2.8340659554424828e+08 2.8201806127529073e+08 2.8088501334226537e+08 2.7997512962623203e+08 2.7923958688756281e+08 2.7862851827260071e+08 2.7811011551677275e+08 2.7765098838305753e+08 2.7721344424867725e+08 2.7690242040066808e+08 2.7658792031149572e+08 2.7626682495729613e+08 2.7593043640474641e+08 2.7558339516467434e+08 2.7521526337069547e+08 2.7484081202267134e+08 2.7442316432363570e+08 2.7397620011127776e+08 2.7349169662182367e+08 2.7296323296632302e+08 2.7238300658109504e+08 2.7174222776816034e+08 2.7102779306558341e+08 2.7024360899918497e+08 2.6935656127404737e+08 2.6836203875171143e+08 2.6724561246768337e+08 2.6599175439407420e+08 2.6458445125608739e+08 2.6300764087967616e+08 2.6124310168959969e+08 2.5929560637318438e+08 2.5712772942927361e+08 2.5474834516887066e+08 2.5216295716047540e+08 2.4939184347705901e+08 2.4646950584050885e+08 2.4346161448228732e+08 2.4046547041561753e+08 2.3764331667423758e+08 2.3519331321706045e+08 2.3343195622689018e+08 2.3279787477255258e+08 2.3392996501728466e+08 2.3775654890390554e+08 2.4568447314365000e+08 2.5994051969923225e+08 2.8428096209872270e+08 9.4090077093094528e+07 +6.8171723907968769e+00 4.5334389738130134e+08 4.5330090940895575e+08 4.5322874737000656e+08 4.5313577224697649e+08 4.5304626807266808e+08 4.5299704836932129e+08 4.5300405970388705e+08 4.5303976637697732e+08 4.5307666792837703e+08 4.5310958615622032e+08 4.5314213670110738e+08 4.5317499435964787e+08 4.5320772996668172e+08 4.5324040978908509e+08 4.5327342284247619e+08 4.5330700648522371e+08 4.5334150996302497e+08 4.5337752494935244e+08 4.5341578130740666e+08 4.5345704803469270e+08 4.5350217853095001e+08 4.5355198761949652e+08 4.5360659696786189e+08 4.5366596781785780e+08 4.5373546223558033e+08 4.5381912446971029e+08 4.5391520290761578e+08 4.5402309701401335e+08 4.5414328201866376e+08 4.5427601905680680e+08 4.5442091834889215e+08 4.5457655698950607e+08 4.5473999576351464e+08 4.5490614875710762e+08 4.5506698545809585e+08 4.5521043774659127e+08 4.5531910480280799e+08 4.5536863983623403e+08 4.5532594739038628e+08 4.5514710066153961e+08 4.5473810230694449e+08 4.5401706618177438e+08 4.5287426261570477e+08 4.5118038568661577e+08 4.4879119653298783e+08 4.4555704458336264e+08 4.4133799074951077e+08 4.3602389053265291e+08 4.2955727746261567e+08 4.2195111001536208e+08 4.1329851720163321e+08 4.0378510564332509e+08 3.9367473216575289e+08 3.8324632837659895e+08 3.7278363691022044e+08 3.6255135162782663e+08 3.5275821956517178e+08 3.4355692772756702e+08 3.3503732537430614e+08 3.2725293271068561e+08 3.2020502188537806e+08 3.1388583386137003e+08 3.0825356411163348e+08 3.0328106916142708e+08 2.9891653880550027e+08 2.9511119781690353e+08 2.9182808184600842e+08 2.8901519368952715e+08 2.8662009816634846e+08 2.8460727788329113e+08 2.8292327219756293e+08 2.8153650631834787e+08 2.8040496342972553e+08 2.7949634367076397e+08 2.7876187465952420e+08 2.7815174829389012e+08 2.7763417940533203e+08 2.7717581222226965e+08 2.7673900709259516e+08 2.7642851330189520e+08 2.7611455072863132e+08 2.7579400482225692e+08 2.7545819213385540e+08 2.7511174506880647e+08 2.7474424462911433e+08 2.7437043124158221e+08 2.7395349858769351e+08 2.7350729959290940e+08 2.7302362556590486e+08 2.7249606660651577e+08 2.7191683350488901e+08 2.7127715160558742e+08 2.7056394091904825e+08 2.6978109609262437e+08 2.6889556675987947e+08 2.6790274656555906e+08 2.6678823123982075e+08 2.6553651932980025e+08 2.6413162496686938e+08 2.6255751346662435e+08 2.6079599544743982e+08 2.5885183043333784e+08 2.5668766395963433e+08 2.5431235215340865e+08 2.5173138916444641e+08 2.4896501836008635e+08 2.4604768241433954e+08 2.4304493916634551e+08 2.4005392402979720e+08 2.3723659777735856e+08 2.3479078764062271e+08 2.3303244537389040e+08 2.3239945024897861e+08 2.3352960319321451e+08 2.3734963779153121e+08 2.4526399345483956e+08 2.5949564247162348e+08 2.8379442330890608e+08 9.3828250762845144e+07 +6.8221407135711347e+00 4.5319221292954701e+08 4.5314923732970536e+08 4.5307708600264108e+08 4.5298412321667600e+08 4.5289461845075125e+08 4.5284537123967355e+08 4.5285232412863117e+08 4.5288795063103980e+08 4.5292475652357948e+08 4.5295756159817177e+08 4.5298997649217433e+08 4.5302267195399702e+08 4.5305521433519626e+08 4.5308766444884211e+08 4.5312040489415836e+08 4.5315366568038452e+08 4.5318778705735421e+08 4.5322334988951975e+08 4.5326107131398517e+08 4.5330170541900921e+08 4.5334608813794100e+08 4.5339501375369006e+08 4.5344857721549386e+08 4.5350669440023750e+08 4.5357466811299837e+08 4.5365650889219606e+08 4.5375043752495778e+08 4.5385580692788154e+08 4.5397303250765133e+08 4.5410230610714573e+08 4.5424315916773880e+08 4.5439407994260210e+08 4.5455202986417979e+08 4.5471181309207666e+08 4.5486527909269261e+08 4.5500023100412148e+08 4.5509913311788356e+08 4.5513750189326304e+08 4.5508210976873022e+08 4.5488891192051131e+08 4.5446254974713326e+08 4.5372208288483065e+08 4.5255781391987932e+08 4.5084059107994968e+08 4.4842648544727594e+08 4.4516633873122191e+08 4.4092089494528234e+08 4.3558086192940927e+08 4.2908973347315264e+08 4.2146143954368359e+08 4.1278997349873710e+08 4.0326154457275081e+08 3.9314025967483485e+08 3.8270499375687081e+08 3.7223911512357146e+08 3.6200671189755470e+08 3.5221583592615873e+08 3.4301847826954085e+08 3.3450388115501332e+08 3.2672504748066145e+08 3.1968288675645840e+08 3.1336935401823354e+08 3.0774248671405786e+08 3.0277500334675252e+08 2.9841504765574092e+08 2.9461382452407169e+08 2.9133434916834319e+08 2.8852465565815806e+08 2.8613234972621590e+08 2.8412193253807223e+08 2.8244000573517662e+08 2.8105501141146934e+08 2.7992497579183042e+08 2.7901762145761853e+08 2.7828422706147528e+08 2.7767504339516765e+08 2.7715830855753529e+08 2.7670070136472821e+08 2.7626463519314700e+08 2.7595467139948583e+08 2.7564124627218342e+08 2.7532124973851413e+08 2.7498601283426088e+08 2.7464015986112857e+08 2.7427329068183815e+08 2.7390011518276256e+08 2.7348389747443122e+08 2.7303846359032458e+08 2.7255561891008872e+08 2.7202896452107334e+08 2.7145072456492573e+08 2.7081213942706686e+08 2.7010015258118910e+08 2.6931864682600045e+08 2.6843463567541096e+08 2.6744351757378662e+08 2.6633091294183308e+08 2.6508134689907631e+08 2.6367886097822186e+08 2.6210744798158711e+08 2.6034895071109915e+08 2.5840811555596325e+08 2.5624765904065987e+08 2.5387641912686020e+08 2.5129988054732940e+08 2.4853825196863779e+08 2.4562591702391142e+08 2.4262832117689735e+08 2.3964243425837287e+08 2.3682993484456530e+08 2.3438831744985977e+08 2.3263298949062991e+08 2.3200108053939459e+08 2.3312929644864911e+08 2.3694278266080850e+08 2.4484357161569268e+08 2.5905082644449076e+08 2.8330795147209823e+08 9.3567006463702783e+07 +6.8271090363453926e+00 4.5303832967910916e+08 4.5299536284275264e+08 4.5292322652330130e+08 4.5283027640667951e+08 4.5274077196078187e+08 4.5269149745450205e+08 4.5269839198906529e+08 4.5273393828751779e+08 4.5277064848392719e+08 4.5280334043092495e+08 4.5283561974262321e+08 4.5286815312489879e+08 4.5290050245781165e+08 4.5293272310752529e+08 4.5296519127107865e+08 4.5299812961817080e+08 4.5303186941972142e+08 4.5306698074718535e+08 4.5310416803233975e+08 4.5314417047897428e+08 4.5318780658304912e+08 4.5323585012091714e+08 4.5328836937745029e+08 4.5334523495213670e+08 4.5341169047531468e+08 4.5349171282102770e+08 4.5358349524634081e+08 4.5368634422167259e+08 4.5380061545586294e+08 4.5392643164931524e+08 4.5406324564340758e+08 4.5420945706372321e+08 4.5436192824826670e+08 4.5451535373609996e+08 4.5466146333992261e+08 4.5478793189418882e+08 4.5487708932082772e+08 4.5490431594379371e+08 4.5483625281352222e+08 4.5462873791205013e+08 4.5418505559847957e+08 4.5342521024769682e+08 4.5223953802592224e+08 4.5049904258449721e+08 4.4806010601056439e+08 4.4477406291007698e+08 4.4050234029688072e+08 4.3513649726594752e+08 4.2862098562088984e+08 4.2097070341653818e+08 4.1228050403022790e+08 4.0273719460447389e+08 3.9260512769572520e+08 3.8216311796733493e+08 3.7169415706568629e+08 3.6146172644011366e+08 3.5167318303362852e+08 3.4247982311847305e+08 3.3397028351217109e+08 3.2619705159578878e+08 3.1916067590385133e+08 3.1285282703294396e+08 3.0723138560027254e+08 3.0226893308989412e+08 2.9791356793507302e+08 2.9411647571612042e+08 2.9084065169917333e+08 2.8803416156068712e+08 2.8564465222861683e+08 2.8363664367182285e+08 2.8195679998195326e+08 2.8057358034885430e+08 2.7944505419866806e+08 2.7853896673849589e+08 2.7780664783130264e+08 2.7719840730415136e+08 2.7668250669321752e+08 2.7622565952367109e+08 2.7579033225744909e+08 2.7548089839616138e+08 2.7516801064097351e+08 2.7484856340062392e+08 2.7451390219593942e+08 2.7416864322723579e+08 2.7380240520939374e+08 2.7342986752177089e+08 2.7301436465341765e+08 2.7256969576746768e+08 2.7208768031219786e+08 2.7156193036060226e+08 2.7098468340403938e+08 2.7034719486685747e+08 2.6963643167654777e+08 2.6885626481341708e+08 2.6797377162274304e+08 2.6698435536487001e+08 2.6587366114766172e+08 2.6462624065867341e+08 2.6322616282858130e+08 2.6165744794183093e+08 2.5990197097395286e+08 2.5796446520850495e+08 2.5580771811100450e+08 2.5344054949629089e+08 2.5086843468155250e+08 2.4811154763736504e+08 2.4520421296565306e+08 2.4221176376964936e+08 2.3923100431727621e+08 2.3642333105390415e+08 2.3398590579032609e+08 2.3223359169900158e+08 2.3160276875753281e+08 2.3272904791198003e+08 2.3653598669172376e+08 2.4442321091209391e+08 2.5860607509386140e+08 2.8282155039004397e+08 9.3306343596307576e+07 +6.8320773591196504e+00 4.5288225973059392e+08 4.5283929515498745e+08 4.5276717648875117e+08 4.5267423972920531e+08 4.5258473637593776e+08 4.5253543484884298e+08 4.5254227112302822e+08 4.5257773718260300e+08 4.5261435164745760e+08 4.5264693049351346e+08 4.5267907429353744e+08 4.5271144571474159e+08 4.5274360217838186e+08 4.5277559361238730e+08 4.5280778982313108e+08 4.5284040615152472e+08 4.5287376490651202e+08 4.5290842538302559e+08 4.5294507932758874e+08 4.5298445108534688e+08 4.5302734174253356e+08 4.5307450460572827e+08 4.5312598134635526e+08 4.5318159737680697e+08 4.5324653723765069e+08 4.5332474418661320e+08 4.5341438401968741e+08 4.5351471686397189e+08 4.5362603885507149e+08 4.5374840370174372e+08 4.5388118582624316e+08 4.5402269643995970e+08 4.5416969904459023e+08 4.5431677886595219e+08 4.5445554643096143e+08 4.5457354870781529e+08 4.5465298177083540e+08 4.5466909042139637e+08 4.5458838503879911e+08 4.5436658723548663e+08 4.5390562855647403e+08 4.5312645706050700e+08 4.5191944381178343e+08 4.5015574915469140e+08 4.4769206723002350e+08 4.4438022614377755e+08 4.4008233579822022e+08 4.3469080544779074e+08 4.2815104265701902e+08 4.2047891015979844e+08 4.1177011702981877e+08 4.0221206362396997e+08 3.9206934372606713e+08 3.8162070809701461e+08 3.7114876941759509e+08 3.6091640154459894e+08 3.5113026681224823e+08 3.4194096786840570e+08 3.3343653774713475e+08 3.2566895010147274e+08 3.1863839415174580e+08 3.1233625753884059e+08 3.0672026524003470e+08 3.0176286272068673e+08 2.9741210385450947e+08 2.9361915550296301e+08 2.9034699346356040e+08 2.8754371535105872e+08 2.8515700956828403e+08 2.8315141513133270e+08 2.8147365874564695e+08 2.8009221690719885e+08 2.7896520240294760e+08 2.7806038324820036e+08 2.7732914069095141e+08 2.7672184373216569e+08 2.7620677751581818e+08 2.7575069039583474e+08 2.7531610197606057e+08 2.7500719797852504e+08 2.7469484751731563e+08 2.7437594948657024e+08 2.7404186389264774e+08 2.7369719883596450e+08 2.7333159187584782e+08 2.7295969191754556e+08 2.7254490377841830e+08 2.7210099977176511e+08 2.7161981341301358e+08 2.7109496775891823e+08 2.7051871364855319e+08 2.6988232154252088e+08 2.6917278181342441e+08 2.6839395365249696e+08 2.6751297818787122e+08 2.6652526351174724e+08 2.6541647941521177e+08 2.6417120414995420e+08 2.6277353404052842e+08 2.6120751684899530e+08 2.5945505971441793e+08 2.5752088284343687e+08 2.5536784459379169e+08 2.5300474665313786e+08 2.5043705492401969e+08 2.4768490868678737e+08 2.4478257352069187e+08 2.4179527018578774e+08 2.3881963740802309e+08 2.3601678956911609e+08 2.3358355579310411e+08 2.3183425510659724e+08 2.3120451800233075e+08 2.3232886069776285e+08 2.3612925304919702e+08 2.4400291461482534e+08 2.5816139188054207e+08 2.8233522384716201e+08 9.3046261558126956e+07 +6.8370456818939083e+00 4.5272400174996543e+08 4.5268105288985747e+08 4.5260894475610244e+08 4.5251602142070341e+08 4.5242651942572558e+08 4.5237719126457918e+08 4.5238396936953264e+08 4.5241935515220451e+08 4.5245587385375375e+08 4.5248833962625766e+08 4.5252034798716730e+08 4.5255255756728411e+08 4.5258452134294355e+08 4.5261628381146145e+08 4.5264820840068066e+08 4.5268050313374186e+08 4.5271348137391025e+08 4.5274769165755194e+08 4.5278381306510007e+08 4.5282255510824603e+08 4.5286470149326390e+08 4.5291098509215158e+08 4.5296142101499778e+08 4.5301578957682568e+08 4.5307921631574005e+08 4.5315561091884196e+08 4.5324311179253155e+08 4.5334093282137007e+08 4.5344931069608617e+08 4.5356823028337437e+08 4.5369698776557279e+08 4.5383380615754199e+08 4.5397535038045067e+08 4.5411609665636337e+08 4.5424753659378666e+08 4.5435708973411644e+08 4.5442681882409710e+08 4.5443183375572360e+08 4.5433851495387948e+08 4.5410246848492122e+08 4.5362427730966353e+08 4.5282583210472620e+08 4.5159754014770162e+08 4.4981071973337811e+08 4.4732237809799260e+08 4.4398483744063896e+08 4.3966089042582089e+08 4.3424379536250567e+08 4.2767991331148005e+08 4.1998606827713370e+08 4.1125882070868659e+08 4.0168615949369711e+08 3.9153291523942202e+08 3.8107777121205270e+08 3.7060295883760417e+08 3.6037074347614247e+08 3.5058709316275901e+08 3.4140191809214514e+08 3.3290264914059901e+08 3.2514074802363300e+08 3.1811604630478966e+08 3.1181965015028429e+08 3.0620913008425635e+08 3.0125679655099934e+08 2.9691065960702330e+08 2.9312186797705400e+08 2.8985337846861392e+08 2.8705332096571380e+08 2.8466942562253684e+08 2.8266625074604326e+08 2.8099058581653643e+08 2.7961092484631264e+08 2.7848542414120775e+08 2.7758187470528793e+08 2.7685170934500152e+08 2.7624535637395453e+08 2.7573112471198714e+08 2.7527579766121322e+08 2.7484194802315468e+08 2.7453357381653416e+08 2.7422176056656343e+08 2.7390341165781975e+08 2.7356990158111441e+08 2.7322583033974224e+08 2.7286085432860911e+08 2.7248959201249880e+08 2.7207551848595536e+08 2.7163237923454094e+08 2.7115202183727956e+08 2.7062808033360440e+08 2.7005281890830851e+08 2.6941752305570436e+08 2.6870920658380759e+08 2.6793171692486268e+08 2.6705225894081891e+08 2.6606624557100829e+08 2.6495937128649822e+08 2.6371624089820349e+08 2.6232097812047854e+08 2.6075765818870333e+08 2.5900822039433205e+08 2.5707737189677903e+08 2.5492804189668614e+08 2.5256901397369447e+08 2.5000574461693296e+08 2.4725833842205486e+08 2.4436100195535240e+08 2.4137884365213811e+08 2.3840833671715760e+08 2.3561031353959069e+08 2.3318127057518518e+08 2.3143498280710030e+08 2.3080633135926369e+08 2.3192873790602580e+08 2.3572258488454247e+08 2.4358268598017275e+08 2.5771678024948379e+08 2.8184897561113906e+08 9.2786759743481413e+07 +6.8420140046681661e+00 4.5256357048884881e+08 4.5252063150878435e+08 4.5244853901145154e+08 4.5235562955772662e+08 4.5226612886890191e+08 4.5221677454878056e+08 4.5222349456991953e+08 4.5225880003288078e+08 4.5229522294256723e+08 4.5232757567004341e+08 4.5235944866534060e+08 4.5239149652727544e+08 4.5242326779821795e+08 4.5245480155310369e+08 4.5248645485511136e+08 4.5251842841911721e+08 4.5255102668031043e+08 4.5258478743249911e+08 4.5262037711087120e+08 4.5265849041931719e+08 4.5269989371325588e+08 4.5274529946479893e+08 4.5279469627680641e+08 4.5284781945563000e+08 4.5290973562498999e+08 4.5298432094848561e+08 4.5306968651212800e+08 4.5316500006263959e+08 4.5327043896982533e+08 4.5338591941144705e+08 4.5351065951118135e+08 4.5364279430135018e+08 4.5377889038235694e+08 4.5391331528080475e+08 4.5403744205519855e+08 4.5413856325914848e+08 4.5419860883245856e+08 4.5419255437232882e+08 4.5408665106344843e+08 4.5383639024851280e+08 4.5334101053829485e+08 4.5252334415434325e+08 4.5127383589244813e+08 4.4946396325210476e+08 4.4695104759485948e+08 4.4358790579429364e+08 4.3923801313990366e+08 4.3379547587820905e+08 4.2720760629476929e+08 4.1949218625126207e+08 4.1074662325476509e+08 4.0115949005196488e+08 3.9099584968528026e+08 3.8053431435389328e+08 3.7005673195852888e+08 3.5982475847677386e+08 3.5004366796428525e+08 3.4086267933940625e+08 3.3236862295163620e+08 3.2461245036702478e+08 3.1759363714680767e+08 3.1130300946139282e+08 3.0569798456450528e+08 3.0075073887345564e+08 2.9640923936665368e+08 2.9262461721246928e+08 2.8935981070414978e+08 2.8656298232289797e+08 2.8418190425184357e+08 2.8218115432808644e+08 2.8050758496848094e+08 2.7912970790957439e+08 2.7800572313258898e+08 2.7710344481096518e+08 2.7637435748147929e+08 2.7576894890706676e+08 2.7525555195135009e+08 2.7480098498327327e+08 2.7436787405609626e+08 2.7406002956312889e+08 2.7374875343824750e+08 2.7343095355935907e+08 2.7309801890185100e+08 2.7275454137427551e+08 2.7239019619889975e+08 2.7201957143281025e+08 2.7160621239682746e+08 2.7116383777002364e+08 2.7068430919313967e+08 2.7016127168610829e+08 2.6958700277693474e+08 2.6895280299150825e+08 2.6824570956357855e+08 2.6746955819616231e+08 2.6659161743498388e+08 2.6560730508320585e+08 2.6450234028708273e+08 2.6326135441262454e+08 2.6186849855913287e+08 2.6030787543066409e+08 2.5856145646076810e+08 2.5663393578954858e+08 2.5448831341238099e+08 2.5213335481865242e+08 2.4957450708674702e+08 2.4683184013350630e+08 2.4393950152152354e+08 2.4096248738077605e+08 2.3799710541785303e+08 2.3520390610061678e+08 2.3277905323950931e+08 2.3103577788057244e+08 2.3040821189983520e+08 2.3152868262330481e+08 2.3531598533450663e+08 2.4316252824923307e+08 2.5727224363022164e+08 2.8136280943256885e+08 9.2527837543570369e+07 +6.8469823274424240e+00 4.5240097473095936e+08 4.5235804102028716e+08 4.5228596801373297e+08 4.5219307204991865e+08 4.5210357254474497e+08 4.5205419255159426e+08 4.5206085456592345e+08 4.5209607966148096e+08 4.5213240675362378e+08 4.5216464646526498e+08 4.5219638417160112e+08 4.5222827043904167e+08 4.5225984939072436e+08 4.5229115468640554e+08 4.5232253703784376e+08 4.5235418986167687e+08 4.5238640868284088e+08 4.5241972056932390e+08 4.5245477933082503e+08 4.5249226488972855e+08 4.5253292627992868e+08 4.5257745560907507e+08 4.5262581502479458e+08 4.5267769491709554e+08 4.5273810308118427e+08 4.5281088220568883e+08 4.5289411612576485e+08 4.5298692655384892e+08 4.5308943166654521e+08 4.5320147910370874e+08 4.5332220911031502e+08 4.5344966895513016e+08 4.5358032717485088e+08 4.5370844290965539e+08 4.5382527103831112e+08 4.5391797756547064e+08 4.5396836014501476e+08 4.5395126069172651e+08 4.5383280186640841e+08 4.5356836110834599e+08 4.5305583691701210e+08 4.5221900197392017e+08 4.5094833989597082e+08 4.4911548863073367e+08 4.4657808468716019e+08 4.4318944018285358e+08 4.3881371288365990e+08 4.3334585584443617e+08 4.2673413029656649e+08 4.1899727254192376e+08 4.1023353283302343e+08 4.0063206311297190e+08 3.9045815448956913e+08 3.7999034454010445e+08 3.6951009539012694e+08 3.5927845276523191e+08 3.4949999707284153e+08 3.4032325713857216e+08 3.3183446441802877e+08 3.2408406211474442e+08 3.1707117144194925e+08 3.1078634004697788e+08 3.0518683309378791e+08 3.0024469396171230e+08 2.9590784729000455e+08 2.9212740726494008e+08 2.8886629414177227e+08 2.8607270332449549e+08 2.8369444929902720e+08 2.8169612967254871e+08 2.8002465995830476e+08 2.7864856982260680e+08 2.7752610307950860e+08 2.7662509724988168e+08 2.7589708877168441e+08 2.7529262499307895e+08 2.7478006288762021e+08 2.7432625600878137e+08 2.7389388371557397e+08 2.7358656885542059e+08 2.7327582976477784e+08 2.7295857881924838e+08 2.7262621947870904e+08 2.7228333555914932e+08 2.7191962110085243e+08 2.7154963378791875e+08 2.7113698911511254e+08 2.7069537897674924e+08 2.7021667907271850e+08 2.6969454540133983e+08 2.6912126883198833e+08 2.6848816491891819e+08 2.6778229431208888e+08 2.6700748101517227e+08 2.6613105720820060e+08 2.6514844557290184e+08 2.6404538992709348e+08 2.6280654818688262e+08 2.6141609883146751e+08 2.5985817202936241e+08 2.5811477134466472e+08 2.5619057792754725e+08 2.5404866251736435e+08 2.5169777253402239e+08 2.4914334564564511e+08 2.4640541709637597e+08 2.4351807545632640e+08 2.4054620456911570e+08 2.3758594666773534e+08 2.3479757037344608e+08 2.3237690687501234e+08 2.3063664339207298e+08 2.3001016268122900e+08 2.3112869792189842e+08 2.3490945752163094e+08 2.4274244464885604e+08 2.5682778543671328e+08 2.8087672904510236e+08 9.2269494346497789e+07 +6.8519506502166818e+00 4.5223621162815523e+08 4.5219329377043879e+08 4.5212123562411273e+08 4.5202835637317532e+08 4.5193885836779898e+08 4.5188945312406617e+08 4.5189605720010853e+08 4.5193120187453604e+08 4.5196743312794304e+08 4.5199955985447997e+08 4.5203116234934801e+08 4.5206288714778543e+08 4.5209427396729463e+08 4.5212535106120378e+08 4.5215646280093479e+08 4.5218779531641465e+08 4.5221963523967397e+08 4.5225249892977870e+08 4.5228702759187865e+08 4.5232388639161134e+08 4.5236380707101828e+08 4.5240746140941602e+08 4.5245478515296781e+08 4.5250542386479652e+08 4.5256432659994709e+08 4.5263530261982137e+08 4.5271640858037817e+08 4.5280672026228559e+08 4.5290629677581996e+08 4.5301491737564570e+08 4.5313164461040986e+08 4.5325443820099223e+08 4.5337966888012624e+08 4.5350148771238470e+08 4.5361103176472437e+08 4.5369534093312514e+08 4.5373608110633475e+08 4.5370796113091886e+08 4.5357697585681999e+08 4.5329838964028257e+08 4.5276876511205250e+08 4.5191281432026666e+08 4.5062106099775904e+08 4.4876530477809119e+08 4.4620349832850766e+08 4.4278944956966752e+08 4.3838799858318865e+08 4.3289494409199482e+08 4.2625949398588222e+08 4.1850133558767146e+08 4.0971955758532196e+08 4.0010388646750295e+08 3.8991983705343068e+08 3.7944586876375169e+08 3.6896305571858621e+08 3.5873183253661931e+08 3.4895608632119274e+08 3.3978365699559623e+08 3.3130017875558174e+08 3.2355558823030466e+08 3.1654865393385679e+08 3.1026964646225011e+08 3.0467568006499720e+08 2.9973866607168686e+08 2.9540648751438642e+08 2.9163024217269194e+08 2.8837283273566246e+08 2.8558248785416436e+08 2.8320706458955109e+08 2.8121118055743599e+08 2.7954181452498507e+08 2.7816751429511189e+08 2.7704656766784775e+08 2.7614683569021285e+08 2.7541990687023389e+08 2.7481638827626002e+08 2.7430466115741432e+08 2.7385161436770934e+08 2.7341998062616110e+08 2.7311319531339139e+08 2.7280299316212887e+08 2.7248629104956239e+08 2.7215450691936165e+08 2.7181221649706173e+08 2.7144913263308036e+08 2.7107978267105889e+08 2.7066785222877955e+08 2.7022700643648285e+08 2.6974913505140847e+08 2.6922790504787982e+08 2.6865562063419062e+08 2.6802361239038858e+08 2.6731896437308940e+08 2.6654548891531098e+08 2.6567058178179908e+08 2.6468967054868120e+08 2.6358852369998980e+08 2.6235182569815934e+08 2.6096378239678699e+08 2.5940855142337438e+08 2.5766816846149924e+08 2.5574730170023751e+08 2.5360909257365549e+08 2.5126227045015144e+08 2.4871226359009966e+08 2.4597907257141188e+08 2.4309672698192835e+08 2.4012999840021947e+08 2.3717486361103338e+08 2.3439130946484885e+08 2.3197483455636218e+08 2.3023758239403170e+08 2.2961218674716082e+08 2.3072878686011323e+08 2.3450300455427089e+08 2.4232243839116213e+08 2.5638340906740856e+08 2.8039073816515839e+08 9.2011729537297562e+07 +6.8569189729909397e+00 4.5206930412206197e+08 4.5202639587224656e+08 4.5195435224299580e+08 4.5186148982810193e+08 4.5177199428341949e+08 4.5172256411712980e+08 4.5172911031534123e+08 4.5176417450998372e+08 4.5180030990689147e+08 4.5183232367877793e+08 4.5186379104126173e+08 4.5189535449909186e+08 4.5192654937545890e+08 4.5195739852658832e+08 4.5198823999600446e+08 4.5201925263840228e+08 4.5205071420918429e+08 4.5208313037650263e+08 4.5211712976019657e+08 4.5215336279658270e+08 4.5219254396457535e+08 4.5223532475150603e+08 4.5228161455431050e+08 4.5233101420145130e+08 4.5238841409641886e+08 4.5245759012081581e+08 4.5253657182226110e+08 4.5262438915351379e+08 4.5272104228629082e+08 4.5282624224205714e+08 4.5293897405692762e+08 4.5305711011916733e+08 4.5317692361951613e+08 4.5329245785540199e+08 4.5339473245238793e+08 4.5347066163841236e+08 4.5350178005787373e+08 4.5346266410169363e+08 4.5331918152313972e+08 4.5302648441402566e+08 4.5247980378296137e+08 4.5160478994090503e+08 4.5029200802689654e+08 4.4841342059061575e+08 4.4582729745831966e+08 4.4238794290282142e+08 4.3796087914707476e+08 4.3244274943256170e+08 4.2578370601153463e+08 4.1800438380482405e+08 4.0920470563073719e+08 3.9957496788254625e+08 3.8938090475435549e+08 3.7890089399456882e+08 3.6841561950565338e+08 3.5818490396277511e+08 3.4841194151984292e+08 3.3924388439425331e+08 3.3076577115966761e+08 3.2302703365600312e+08 3.1602608934659874e+08 3.0975293324309170e+08 3.0416452985294563e+08 2.9923265943972862e+08 2.9490516415966088e+08 2.9113312595609200e+08 2.8787943042232269e+08 2.8509233977838278e+08 2.8271975393192428e+08 2.8072631074370879e+08 2.7905905239162332e+08 2.7768654501900810e+08 2.7656712056645107e+08 2.7566866378290164e+08 2.7494281541503358e+08 2.7434024238478070e+08 2.7382935038071978e+08 2.7337706367395103e+08 2.7294616839546335e+08 2.7263991254075807e+08 2.7233024722988784e+08 2.7201409384555316e+08 2.7168288481454533e+08 2.7134118777481985e+08 2.7097873437712520e+08 2.7061002165906066e+08 2.7019880530897814e+08 2.6975872371464628e+08 2.6928168068830234e+08 2.6876135417825693e+08 2.6819006172845477e+08 2.6755914894263369e+08 2.6685572327347621e+08 2.6608358541338465e+08 2.6521019466116771e+08 2.6423098350290084e+08 2.6313174508430144e+08 2.6189719040841916e+08 2.6051155269837666e+08 2.5895901703532287e+08 2.5722165121117562e+08 2.5530411048235893e+08 2.5316960692724314e+08 2.5082685188229388e+08 2.4828126420198461e+08 2.4555280980401507e+08 2.4267545930586636e+08 2.3971387204230303e+08 2.3676385937679192e+08 2.3398512646739048e+08 2.3157283934475893e+08 2.2983859792430091e+08 2.2921428712729242e+08 2.3032895248237449e+08 2.3409662952665985e+08 2.4190251267342669e+08 2.5593911790522882e+08 2.7990484049232131e+08 9.1754542497958899e+07 +6.8618872957651975e+00 4.5190024968853903e+08 4.5185735272555792e+08 4.5178532634944713e+08 4.5169248032145786e+08 4.5160298821317971e+08 4.5155353337858415e+08 4.5156002175390601e+08 4.5159500540499061e+08 4.5163104493094075e+08 4.5166294578037471e+08 4.5169427809208000e+08 4.5172568033828264e+08 4.5175668346228570e+08 4.5178730493186247e+08 4.5181787647528148e+08 4.5184856968198436e+08 4.5187965344917601e+08 4.5191162277050942e+08 4.5194509370244741e+08 4.5198070197599411e+08 4.5201914483813888e+08 4.5206105351953977e+08 4.5210631112256998e+08 4.5215447383057308e+08 4.5221037348550755e+08 4.5227775263766396e+08 4.5235461379703486e+08 4.5243994119283003e+08 4.5253367618565941e+08 4.5263546171767187e+08 4.5274420549325943e+08 4.5285769278903753e+08 4.5297209951135641e+08 4.5308136150253838e+08 4.5317638131713933e+08 4.5324394795469773e+08 4.5326546533689266e+08 4.5321537801177400e+08 4.5305942734852248e+08 4.5275265399248421e+08 4.5218896158157361e+08 4.5129493757453239e+08 4.4996118980320507e+08 4.4805984495301628e+08 4.4544949100330418e+08 4.4198492911512083e+08 4.3753236346736479e+08 4.3198928065930521e+08 4.2530677500155604e+08 4.1750642558788234e+08 4.0868898506498182e+08 3.9904531510179901e+08 3.8884136494511914e+08 3.7835542717749125e+08 3.6786779328973246e+08 3.5763767319281733e+08 3.4786756845667160e+08 3.3870394479685134e+08 3.3023124680358589e+08 3.2249840331356412e+08 3.1550348238378233e+08 3.0923620490586525e+08 3.0365338681325567e+08 2.9872667828437459e+08 2.9440388132703286e+08 2.9063606261728531e+08 2.8738609112029368e+08 2.8460226294628417e+08 2.8223252111747104e+08 2.8024152397514248e+08 2.7857637726363975e+08 2.7720566567021894e+08 2.7608776542764944e+08 2.7519058516262358e+08 2.7446581802756238e+08 2.7386419092964858e+08 2.7335413416136903e+08 2.7290260752491063e+08 2.7247245061482185e+08 2.7216672412460548e+08 2.7185759555121779e+08 2.7154199078640574e+08 2.7121135673922342e+08 2.7087025296223074e+08 2.7050842989850187e+08 2.7014035431243503e+08 2.6972985191052437e+08 2.6929053436084044e+08 2.6881431952669668e+08 2.6829489632854006e+08 2.6772459564381397e+08 2.6709477809619719e+08 2.6639257452443412e+08 2.6562177401047483e+08 2.6474989933570039e+08 2.6377238791216621e+08 2.6267505754187652e+08 2.6144264576307693e+08 2.6005941316368595e+08 2.5850957227258635e+08 2.5677522297800824e+08 2.5486100763300759e+08 2.5273020890945548e+08 2.5039152013094077e+08 2.4785035074781653e+08 2.4512663202504250e+08 2.4225427562108585e+08 2.3929782864963546e+08 2.3635293708061063e+08 2.3357902445990741e+08 2.3117092428678319e+08 2.2943969300658333e+08 2.2881646683739936e+08 2.2992919781921276e+08 2.3369033551912335e+08 2.4148267067840984e+08 2.5549491531771284e+08 2.7941903970952630e+08 9.1497932607451946e+07 +6.8668556185394554e+00 4.5172906229749000e+08 4.5168617512746882e+08 4.5161416705862838e+08 4.5152133597243035e+08 4.5143184801698637e+08 4.5138236875147378e+08 4.5138879935758197e+08 4.5142370239770639e+08 4.5145964604165876e+08 4.5149143400130987e+08 4.5152263134450793e+08 4.5155387251021457e+08 4.5158468407532793e+08 4.5161507812729782e+08 4.5164538009110779e+08 4.5167575430243444e+08 4.5170646081810087e+08 4.5173798397482210e+08 4.5177092728481460e+08 4.5180591180158913e+08 4.5184361756940132e+08 4.5188465559811157e+08 4.5192888274980146e+08 4.5197581065407521e+08 4.5203021268112057e+08 4.5209579809889537e+08 4.5217054244973314e+08 4.5225338434388900e+08 4.5234420646025825e+08 4.5244258381432998e+08 4.5254734696299744e+08 4.5265619428732723e+08 4.5276520467238551e+08 4.5286820681564355e+08 4.5295598657126731e+08 4.5301520815144867e+08 4.5302714527607596e+08 4.5296611126345825e+08 4.5279772181063640e+08 4.5247690693274772e+08 4.5189624715156293e+08 4.5098326595151180e+08 4.4962861513458753e+08 4.4770458673810941e+08 4.4507008787652469e+08 4.4158041712314939e+08 4.3710246041875523e+08 4.3153454654582822e+08 4.2482870956302154e+08 4.1700746930942881e+08 4.0817240396098495e+08 3.9851493584426808e+08 3.8830122495541686e+08 3.7780947523324943e+08 3.6731958358549130e+08 3.5709014635193551e+08 3.4732297289662528e+08 3.3816384364329171e+08 3.2969661083997202e+08 3.2196970210432822e+08 3.1498083772920114e+08 3.0871946594680816e+08 3.0314225528222412e+08 2.9822072680511063e+08 2.9390264309974229e+08 2.9013905614060193e+08 2.8689281873098189e+08 2.8411226118915826e+08 2.8174536992003536e+08 2.7975682397878349e+08 2.7809379283013558e+08 2.7672487990731114e+08 2.7560850588668060e+08 2.7471260344760031e+08 2.7398891831258124e+08 2.7338823750609207e+08 2.7287901608628309e+08 2.7242824950065416e+08 2.7199883085896832e+08 2.7169363363598162e+08 2.7138504169288856e+08 2.7106998543434882e+08 2.7073992625113863e+08 2.7039941561317903e+08 2.7003822274585915e+08 2.6967078417511499e+08 2.6926099557249653e+08 2.6882244190791929e+08 2.6834705509308419e+08 2.6782853501865509e+08 2.6725922589231789e+08 2.6663050335489628e+08 2.6592952162105536e+08 2.6516005819129661e+08 2.6428969927912220e+08 2.6331388723696935e+08 2.6221846451872841e+08 2.6098819519268525e+08 2.5960736720462880e+08 2.5806022052632552e+08 2.5632888713077143e+08 2.5441799649577281e+08 2.5229090183547097e+08 2.4995627848083633e+08 2.4741952647945216e+08 2.4470054245052782e+08 2.4183317910612100e+08 2.3888187136162993e+08 2.3594209982313788e+08 2.3317300650674450e+08 2.3076909241544136e+08 2.2904087065144765e+08 2.2841872887972218e+08 2.2952952588728902e+08 2.3328412559709555e+08 2.4106291557433081e+08 2.5505080465673819e+08 2.7893333948234284e+08 9.1241899241752610e+07 +6.8718239413137132e+00 4.5155574176536399e+08 4.5151286828879768e+08 4.5144087851411885e+08 4.5134806462728882e+08 4.5125858149037880e+08 4.5120907807191849e+08 4.5121545096700042e+08 4.5125027332612705e+08 4.5128612107949597e+08 4.5131779618323249e+08 4.5134885864204013e+08 4.5137993886074972e+08 4.5141055906101817e+08 4.5144072596159941e+08 4.5147075869475108e+08 4.5150081435427570e+08 4.5153114417335796e+08 4.5156222184990776e+08 4.5159463837313831e+08 4.5162900014395958e+08 4.5166597003490025e+08 4.5170613887138301e+08 4.5174933732831109e+08 4.5179503257407290e+08 4.5184793959714365e+08 4.5191173443165469e+08 4.5198436572401476e+08 4.5206472657037467e+08 4.5215264109559250e+08 4.5224761654358906e+08 4.5234840650571412e+08 4.5245262268932498e+08 4.5255624721713138e+08 4.5265300195394093e+08 4.5273355642437643e+08 4.5278445049456799e+08 4.5278682820437068e+08 4.5271487225385040e+08 4.5253407338121474e+08 4.5219925178453553e+08 4.5160166912926167e+08 4.5066978379261160e+08 4.4929429281984508e+08 4.4734765480711192e+08 4.4468909697626364e+08 4.4117441582906979e+08 4.3667117885812944e+08 4.3107855584744537e+08 4.2434951828333604e+08 4.1650752331952637e+08 4.0765497036821419e+08 3.9798383780552185e+08 3.8776049208954859e+08 3.7726304505931896e+08 3.6677099688307047e+08 3.5654232954192770e+08 3.4677816058244663e+08 3.3762358635191119e+08 3.2916186839972526e+08 3.2144093490867120e+08 3.1445816004664743e+08 3.0820272084358257e+08 3.0263113957721454e+08 2.9771480918303823e+08 2.9340145354264629e+08 2.8964211049281561e+08 2.8639961713797826e+08 2.8362233832172960e+08 2.8125830409637809e+08 2.7927221446422404e+08 2.7761130276278603e+08 2.7624419137234271e+08 2.7512934556250131e+08 2.7423472223863447e+08 2.7351211985820329e+08 2.7291238569217205e+08 2.7240399972621328e+08 2.7195399316570181e+08 2.7152531268626696e+08 2.7122064462887228e+08 2.7091258920490324e+08 2.7059808133557439e+08 2.7026859689238006e+08 2.6992867926490957e+08 2.6956811645220000e+08 2.6920131477519625e+08 2.6879223981730562e+08 2.6835444987258309e+08 2.6787989089820483e+08 2.6736227375235397e+08 2.6679395597038078e+08 2.6616632820683300e+08 2.6546656804225612e+08 2.6469844142453495e+08 2.6382959794853729e+08 2.6285548492202520e+08 2.6176196944558424e+08 2.6053384211100867e+08 2.5915541821749941e+08 2.5761096517293465e+08 2.5588264702291355e+08 2.5397508039892334e+08 2.5185168900636682e+08 2.4952113020202485e+08 2.4698879463340154e+08 2.4427454428167903e+08 2.4141217292443958e+08 2.3846600330326003e+08 2.3553135069110548e+08 2.3276707565816474e+08 2.3036734674938422e+08 2.2864213385482389e+08 2.2802107624217516e+08 2.2912993968910167e+08 2.3287800281279433e+08 2.4064325051462296e+08 2.5460678925902987e+08 2.7844774345995498e+08 9.0986441773867831e+07 +6.8767922640879711e+00 4.5138030348050356e+08 4.5133744432253957e+08 4.5126546951390761e+08 4.5117267396175927e+08 4.5108319639985758e+08 4.5103366916949266e+08 4.5103998442200530e+08 4.5107472602917594e+08 4.5111047788527173e+08 4.5114204016773635e+08 4.5117296782781160e+08 4.5120388723389870e+08 4.5123431626654059e+08 4.5126425628397429e+08 4.5129402013753885e+08 4.5132375769189185e+08 4.5135371137273699e+08 4.5138434425763619e+08 4.5141623483304536e+08 4.5144997487414777e+08 4.5148621011149150e+08 4.5152551122268581e+08 4.5156768274958587e+08 4.5161214749181879e+08 4.5166356214607459e+08 4.5172556956261802e+08 4.5179609156301701e+08 4.5187397583380711e+08 4.5195898807582659e+08 4.5205056791479468e+08 4.5214739216180068e+08 4.5224698606784672e+08 4.5234523525681913e+08 4.5243575507276976e+08 4.5250909908238924e+08 4.5255168324658298e+08 4.5254452244602448e+08 4.5246166937599826e+08 4.5226849052545393e+08 4.5191969709099305e+08 4.5130523614297211e+08 4.5035449980881727e+08 4.4895823164627463e+08 4.4698905800785744e+08 4.4430652718786472e+08 4.4076693411889285e+08 4.3623852762556684e+08 4.3062131729919761e+08 4.2386920972825468e+08 4.1600659594657779e+08 4.0713669231308395e+08 3.9745202865772212e+08 3.8721917362857622e+08 3.7671614352826893e+08 3.6622203964994502e+08 3.5599422884179103e+08 3.4623313723339778e+08 3.3708317831848842e+08 3.2862702459243149e+08 3.2091210658641803e+08 3.1393545397973156e+08 3.0768597405382895e+08 3.0212004399703985e+08 2.9720892958072335e+08 2.9290031670281607e+08 2.8914522962236470e+08 2.8590649020743293e+08 2.8313249814067364e+08 2.8077132738626462e+08 2.7878769912420607e+08 2.7712891071697044e+08 2.7576360369068241e+08 2.7465028805729747e+08 2.7375694512066931e+08 2.7303542623607767e+08 2.7243663904990387e+08 2.7192908863500255e+08 2.7147984206775987e+08 2.7105189963873726e+08 2.7074776064131141e+08 2.7044024162141520e+08 2.7012628202010518e+08 2.6979737218839455e+08 2.6945804743853176e+08 2.6909811453380340e+08 2.6873194962412590e+08 2.6832358815097103e+08 2.6788656175534511e+08 2.6741283043628991e+08 2.6689611601703277e+08 2.6632878935820335e+08 2.6570225612430695e+08 2.6500371725076574e+08 2.6423692716321972e+08 2.6336959878558674e+08 2.6239718439631110e+08 2.6130557573645234e+08 2.6007958991688147e+08 2.5870356958270970e+08 2.5716180957266280e+08 2.5543650599217513e+08 2.5353226265546918e+08 2.5141257370691797e+08 2.4908607854926777e+08 2.4655815843163645e+08 2.4384864070460394e+08 2.4099126022504604e+08 2.3805022758534381e+08 2.3512069275692531e+08 2.3236123495052037e+08 2.2996569029389033e+08 2.2824348559928215e+08 2.2762351189918226e+08 2.2873044221381673e+08 2.3247197020398822e+08 2.4022367863853568e+08 2.5416287244578505e+08 2.7796225527442336e+08 9.0731559573860735e+07 +6.8817605868622289e+00 4.5120275320810080e+08 4.5115990429938734e+08 4.5108794948090547e+08 4.5099517198311192e+08 4.5090570052539974e+08 4.5085614986851132e+08 4.5086240756130028e+08 4.5089706834604597e+08 4.5093272429813457e+08 4.5096417379543877e+08 4.5099496674436331e+08 4.5102572547463518e+08 4.5105596353800184e+08 4.5108567694260281e+08 4.5111517227044225e+08 4.5114459216811138e+08 4.5117417027253044e+08 4.5120435905795652e+08 4.5123572452920318e+08 4.5126884386164743e+08 4.5130434567424583e+08 4.5134278053444999e+08 4.5138392690454316e+08 4.5142716330718130e+08 4.5147708823995024e+08 4.5153731141764933e+08 4.5160572790824807e+08 4.5168114009495598e+08 4.5176325538276732e+08 4.5185144593536729e+08 4.5194431196743864e+08 4.5203929249363965e+08 4.5213217690112776e+08 4.5221647432571775e+08 4.5228262274835229e+08 4.5231691466520369e+08 4.5230023632090366e+08 4.5220651101732248e+08 4.5200098170413780e+08 4.5163825138853860e+08 4.5100695681339186e+08 4.5003742270402575e+08 4.4862044039141172e+08 4.4662880517732412e+08 4.4392238738282764e+08 4.4035798086284018e+08 4.3580451554312277e+08 4.3016283961766565e+08 4.2338779244269311e+08 4.1550469549647683e+08 4.0661757779928100e+08 3.9691951604836595e+08 3.8667727682881570e+08 3.7616877748894310e+08 3.6567271832866395e+08 3.5544585030700636e+08 3.4568790854708707e+08 3.3654262491748941e+08 3.2809208450732964e+08 3.2038322197706074e+08 3.1341272415230495e+08 3.0716923001616138e+08 3.0160897282121372e+08 2.9670309214218444e+08 2.9239923660860831e+08 2.8864841746036601e+08 2.8541344178782398e+08 2.8264274442567635e+08 2.8028444351223320e+08 2.7830328163492984e+08 2.7664662033080924e+08 2.7528312047038496e+08 2.7417133695658070e+08 2.7327927566192508e+08 2.7255884100123453e+08 2.7196100112424636e+08 2.7145428635039473e+08 2.7100579973784769e+08 2.7057859524189270e+08 2.7027498519494641e+08 2.6996800245969760e+08 2.6965459100113714e+08 2.6932625564848655e+08 2.6898752363914108e+08 2.6862822049064499e+08 2.6826269221691269e+08 2.6785504406366411e+08 2.6741878104050460e+08 2.6694587718551305e+08 2.6643006528440374e+08 2.6586372951957747e+08 2.6523829056296158e+08 2.6454097269357961e+08 2.6377551884403160e+08 2.6290970521553615e+08 2.6193898907209578e+08 2.6084928679038778e+08 2.5962544199286911e+08 2.5825182466513094e+08 2.5671275707020587e+08 2.5499046736101624e+08 2.5308954656283936e+08 2.5097355920741260e+08 2.4865112676238865e+08 2.4612762108100784e+08 2.4342283489131805e+08 2.4057044414251709e+08 2.3763454730391151e+08 2.3471012907857734e+08 2.3195548740606162e+08 2.2956412603980052e+08 2.2784492885384783e+08 2.2722603881145579e+08 2.2833103643642038e+08 2.3206603079402599e+08 2.3980420307060069e+08 2.5371905752291089e+08 2.7747687854106647e+08 9.0477252008875072e+07 +6.8867289096364868e+00 4.5102310167423213e+08 4.5098026079720443e+08 4.5090832560655963e+08 4.5081556701310951e+08 4.5072610168182272e+08 4.5067652799148196e+08 4.5068272822250152e+08 4.5071730811491680e+08 4.5075286815824437e+08 4.5078420490742290e+08 4.5081486323378074e+08 4.5084546142620480e+08 4.5087550872034121e+08 4.5090499578551310e+08 4.5093422294325119e+08 4.5096332563626879e+08 4.5099252872919905e+08 4.5102227411059684e+08 4.5105311532557821e+08 4.5108561497522873e+08 4.5112038459905452e+08 4.5115795468804538e+08 4.5119807768229246e+08 4.5124008792009819e+08 4.5128852578877467e+08 4.5134696792022491e+08 4.5141328270031363e+08 4.5148622731279129e+08 4.5156545099786967e+08 4.5165025861155510e+08 4.5173917395776755e+08 4.5182955003527570e+08 4.5191708025659460e+08 4.5199516786271185e+08 4.5205413562099159e+08 4.5208015300497013e+08 4.5205397814443386e+08 4.5194940555925465e+08 4.5173155537059623e+08 4.5135492320641112e+08 4.5070683975233859e+08 4.4971856117022139e+08 4.4828092782111269e+08 4.4626690513942671e+08 4.4353668641763544e+08 4.3994756491529375e+08 4.3536915141516352e+08 4.2970313150029242e+08 4.2290527495130789e+08 4.1500183025375104e+08 4.0609763480677843e+08 3.9638630760208380e+08 3.8613480892347115e+08 3.7562095376584953e+08 3.6512303933877808e+08 3.5489719997050214e+08 3.4514248019836217e+08 3.3600193150099379e+08 3.2755705321124893e+08 3.1985428589940649e+08 3.1288997516827357e+08 3.0665249314968109e+08 3.0109793031040394e+08 2.9619730099338531e+08 2.9189821727091014e+08 2.8815167791970491e+08 2.8492047570994562e+08 2.8215308093948823e+08 2.7979765617957348e+08 2.7781896565516829e+08 2.7616443522559249e+08 2.7480274530372047e+08 2.7369249582919908e+08 2.7280171741385132e+08 2.7208236769243336e+08 2.7148547544433105e+08 2.7097959639351094e+08 2.7053186969118428e+08 2.7010540300486571e+08 2.6980232179485959e+08 2.6949587522125643e+08 2.6918301177595091e+08 2.6885525076521099e+08 2.6851711135451454e+08 2.6815843780672479e+08 2.6779354603286424e+08 2.6738661102908295e+08 2.6695111119605190e+08 2.6647903460766825e+08 2.6596412500955248e+08 2.6539877990292028e+08 2.6477443496279228e+08 2.6407833780160716e+08 2.6331421988786855e+08 2.6244992064841107e+08 2.6148090234719428e+08 2.6039310599045387e+08 2.5917140170608047e+08 2.5780018681404784e+08 2.5626381099503747e+08 2.5454453443641526e+08 2.5264693540336150e+08 2.5053464876235282e+08 2.4821627806591162e+08 2.4569718577334917e+08 2.4299712999850616e+08 2.4014972779687801e+08 2.3721896554081711e+08 2.3429966270024323e+08 2.3154983603285915e+08 2.2916265696444842e+08 2.2744646657281914e+08 2.2682865992578024e+08 2.2793172531776324e+08 2.3166018759281212e+08 2.3938482692062321e+08 2.5327534778049618e+08 2.7699161685831064e+08 9.0223518443160474e+07 +6.8916972324107446e+00 4.5084135345188105e+08 4.5079852387488681e+08 4.5072660753323221e+08 4.5063386691255748e+08 4.5054440771240067e+08 4.5049481136311823e+08 4.5050095424179143e+08 4.5053545317508107e+08 4.5057091730362248e+08 4.5060214134289801e+08 4.5063266513663113e+08 4.5066310293126380e+08 4.5069295965883821e+08 4.5072222065904015e+08 4.5075118000589508e+08 4.5077996594863141e+08 4.5080879459737527e+08 4.5083809727481765e+08 4.5086841508546394e+08 4.5090029608375460e+08 4.5093433475892055e+08 4.5097104156503761e+08 4.5101014297242236e+08 4.5105092922731155e+08 4.5109788270255482e+08 4.5115454699430132e+08 4.5121876387760162e+08 4.5128924544451964e+08 4.5136558289946890e+08 4.5144701394705880e+08 4.5153198616523230e+08 4.5161776675825405e+08 4.5169995342694914e+08 4.5177184383058482e+08 4.5182364589583141e+08 4.5184140651607019e+08 4.5180575622714710e+08 4.5169036137860274e+08 4.5146021997218442e+08 4.5106972106682420e+08 4.5040489356396526e+08 4.4939792389133066e+08 4.4793970269034278e+08 4.4590336670595366e+08 4.4314943313588268e+08 4.3953569511529648e+08 4.3493244402966601e+08 4.2924220162477082e+08 4.2242166575719833e+08 4.1449800847910088e+08 4.0557687129219407e+08 3.9585241091865486e+08 3.8559177712059188e+08 3.7507267915991610e+08 3.6457300907606906e+08 3.5434828384064156e+08 3.4459685783888942e+08 3.3546110339987457e+08 3.2702193575060022e+08 3.1932530315195787e+08 3.1236721161180061e+08 3.0613576785409898e+08 3.0058692070675397e+08 2.9569156024122357e+08 2.9139726268223768e+08 2.8765501489612514e+08 2.8442759578765917e+08 2.8166351142665267e+08 2.7931096907714713e+08 2.7733475482695425e+08 2.7568235900623411e+08 2.7432248176563764e+08 2.7321376822729826e+08 2.7232427391155410e+08 2.7160600983173352e+08 2.7101006552225763e+08 2.7050502226940340e+08 2.7005805542631829e+08 2.6963232642026269e+08 2.6932977392992228e+08 2.6902386339069676e+08 2.6871154782529879e+08 2.6838436101540744e+08 2.6804681405756736e+08 2.6768876994949132e+08 2.6732451453487700e+08 2.6691829250498059e+08 2.6648355567407307e+08 2.6601230614879948e+08 2.6549829863195458e+08 2.6493394393983653e+08 2.6431069274743947e+08 2.6361581598937413e+08 2.6285303369955489e+08 2.6199024847767466e+08 2.6102292760242108e+08 2.5993703670329127e+08 2.5871747240795723e+08 2.5734865936332688e+08 2.5581497466082609e+08 2.5409871050998345e+08 2.5220443244407657e+08 2.5009584561183527e+08 2.4778153566986617e+08 2.4526685568611741e+08 2.4257152916848716e+08 2.3972911429341444e+08 2.3680348536389002e+08 2.3388929665155572e+08 2.3114428382526779e+08 2.2876128603108031e+08 2.2704810169772220e+08 2.2643137817546916e+08 2.2753251180574632e+08 2.3125444359617203e+08 2.3896555328419006e+08 2.5283174649423566e+08 2.7650647380809176e+08 8.9970358238097012e+07 +6.8966655551850025e+00 4.5065751365633422e+08 4.5061469384335327e+08 4.5054279886662740e+08 4.5045007915140408e+08 4.5036062647401798e+08 4.5031100781058115e+08 4.5031709345449150e+08 4.5035151136412472e+08 4.5038687957193112e+08 4.5041799094110304e+08 4.5044838029392201e+08 4.5047865783241236e+08 4.5050832419743413e+08 4.5053735941015530e+08 4.5056605130627126e+08 4.5059452095607799e+08 4.5062297573176014e+08 4.5065183640855241e+08 4.5068163167112947e+08 4.5071289505376166e+08 4.5074620402703255e+08 4.5078204904445654e+08 4.5082013066136473e+08 4.5085969512691927e+08 4.5090516688943809e+08 4.5096005656064266e+08 4.5102217937794554e+08 4.5109020244579923e+08 4.5116365906503552e+08 4.5124171994392717e+08 4.5132275662066382e+08 4.5140395072599584e+08 4.5148080451288360e+08 4.5154651037325025e+08 4.5159116176509088e+08 4.5160068344400430e+08 4.5155557887409633e+08 4.5142938684648848e+08 4.5118698395030892e+08 4.5078265348467159e+08 4.5010112684354961e+08 4.4907551954108733e+08 4.4759677374392563e+08 4.4553819867564642e+08 4.4276063636653090e+08 4.3912238028554416e+08 4.3449440215568852e+08 4.2878005864957947e+08 4.2193697334310794e+08 4.1399323841267490e+08 4.0505529518934548e+08 3.9531783357480717e+08 3.8504818860445285e+08 3.7452396044747674e+08 3.6402263391236448e+08 3.5379910790369070e+08 3.4405104709842980e+08 3.3492014592279011e+08 3.2648673715053535e+08 3.1879627851250023e+08 3.1184443804652876e+08 3.0561905850952667e+08 3.0007594823324925e+08 2.9518587397431362e+08 2.9089637681710732e+08 2.8715843226715910e+08 2.8393480581723022e+08 2.8117403961556101e+08 2.7882438587603164e+08 2.7685065277555186e+08 2.7520039526054090e+08 2.7384233341487330e+08 2.7273515768695247e+08 2.7184694867353708e+08 2.7112977092507333e+08 2.7053477485444748e+08 2.7003056746661037e+08 2.6958436042513394e+08 2.6915936896510434e+08 2.6885734507253891e+08 2.6855197043672436e+08 2.6824020261356997e+08 2.6791358985932124e+08 2.6757663520380199e+08 2.6721922037056759e+08 2.6685560116952932e+08 2.6645009193250811e+08 2.6601611791034195e+08 2.6554569523849255e+08 2.6503258957439479e+08 2.6446922504612526e+08 2.6384706732483092e+08 2.6315341065621006e+08 2.6239196366845065e+08 2.6153069208131722e+08 2.6056506820330271e+08 2.5948108228068176e+08 2.5826365743430158e+08 2.5689724563052896e+08 2.5536625136581898e+08 2.5365299885789227e+08 2.5176204093669012e+08 2.4965715298008642e+08 2.4734690276898104e+08 2.4483663398149571e+08 2.4214603552874655e+08 2.3930860672300822e+08 2.3638810982590190e+08 2.3347903394830611e+08 2.3073883376342681e+08 2.2836001618919423e+08 2.2664983715589219e+08 2.2603419648004785e+08 2.2713339883368656e+08 2.3084880178521308e+08 2.3854638524254170e+08 2.5238825692370310e+08 2.7602145295550585e+08 8.9717770752219588e+07 +6.9016338779592603e+00 4.5047159049452639e+08 4.5042878656645304e+08 4.5035691004900950e+08 4.5026421139278048e+08 4.5017476582009900e+08 4.5012512516489637e+08 4.5013115369313329e+08 4.5016549052009672e+08 4.5020076279957515e+08 4.5023176154024959e+08 4.5026201654450190e+08 4.5029213397047061e+08 4.5032161017863107e+08 4.5035041988340318e+08 4.5037884469183010e+08 4.5040699850897408e+08 4.5043507998540252e+08 4.5046349936832654e+08 4.5049277294325727e+08 4.5052341975118577e+08 4.5055600027490163e+08 4.5059098500467283e+08 4.5062804863589388e+08 4.5066639351337576e+08 4.5071038625518429e+08 4.5076350453962165e+08 4.5082353713648283e+08 4.5088910627083898e+08 4.5095968746954423e+08 4.5103438460147536e+08 4.5111149335190690e+08 4.5118810999903679e+08 4.5125964161237967e+08 4.5131917563018364e+08 4.5135669141601264e+08 4.5135799203018785e+08 4.5130345438645309e+08 4.5116649032773024e+08 4.5091185573960060e+08 4.5049372896730977e+08 4.4979554817907292e+08 4.4875135678404367e+08 4.4725214971514064e+08 4.4517140983494699e+08 4.4237030492346948e+08 4.3870762923242605e+08 4.3405503454458088e+08 4.2831671121337688e+08 4.2145120617040402e+08 4.1348752827154577e+08 4.0453291440892208e+08 3.9478258312275791e+08 3.8450405053473443e+08 3.7397480438085657e+08 3.6347192019626200e+08 3.5324967812242621e+08 3.4350505358376199e+08 3.3437906435637176e+08 3.2595146241509140e+08 3.1826721673842967e+08 3.1132165901727778e+08 3.0510236947769672e+08 2.9956501709413540e+08 2.9468024626328319e+08 2.9039556363199097e+08 2.8666193389277238e+08 2.8344210957682359e+08 2.8068466921665704e+08 2.7833791023081464e+08 2.7636666310936230e+08 2.7471854756005019e+08 2.7336230379317749e+08 2.7225666772709799e+08 2.7136974520197028e+08 2.7065365446136481e+08 2.7005960692021680e+08 2.6955623545679516e+08 2.6911078815366042e+08 2.6868653409923673e+08 2.6838503867936376e+08 2.6808019981162959e+08 2.6776897958958459e+08 2.6744294074136922e+08 2.6710657823334005e+08 2.6674979250525948e+08 2.6638680936732572e+08 2.6598201273712271e+08 2.6554880132471889e+08 2.6507920529072461e+08 2.6456700124424466e+08 2.6400462662184635e+08 2.6338356208702275e+08 2.6269112518480617e+08 2.6193101316728851e+08 2.6107125482155573e+08 2.6010732749952534e+08 2.5902524605868095e+08 2.5780996010479102e+08 2.5644594891876775e+08 2.5491764439301035e+08 2.5320740274096999e+08 2.5131976411790130e+08 2.4921857407675958e+08 2.4691238254253891e+08 2.4440652380680290e+08 2.4172065219233555e+08 2.3888820816210324e+08 2.3597284196621418e+08 2.3306887759170118e+08 2.3033348881357172e+08 2.2795885037439147e+08 2.2625167586100167e+08 2.2563711774498570e+08 2.2673438932171500e+08 2.3044326512804148e+08 2.3812732586202133e+08 2.5194488231361455e+08 2.7553655784864229e+08 8.9465755341242597e+07 +6.9066022007335182e+00 4.5028360000422519e+08 4.5024080923690677e+08 4.5016894942694932e+08 4.5007627154362005e+08 4.4998683359008563e+08 4.4993717125966150e+08 4.4994314278886127e+08 4.4997739847931153e+08 4.5001257482184035e+08 4.5004346097663915e+08 4.5007358172734213e+08 4.5010353918522161e+08 4.5013282544414538e+08 4.5016140992245209e+08 4.5018956800890285e+08 4.5021740645593023e+08 4.5024511521055716e+08 4.5027309400972492e+08 4.5030184676196343e+08 4.5033187804055595e+08 4.5036373137314141e+08 4.5039785732234430e+08 4.5043390478028196e+08 4.5047103228078020e+08 4.5051354870514226e+08 4.5056489884883565e+08 4.5062284508738875e+08 4.5068596487079823e+08 4.5075367608540237e+08 4.5082501591695642e+08 4.5089820438388127e+08 4.5097025263456863e+08 4.5103647281949383e+08 4.5108984773818702e+08 4.5112024303309417e+08 4.5111334051146847e+08 4.5104939105920160e+08 4.5090168018208170e+08 4.5063484376810831e+08 4.5020295601501447e+08 4.4948816614822984e+08 4.4842544427409637e+08 4.4690583932503003e+08 4.4480300895775300e+08 4.4197844760738796e+08 4.3829145074686354e+08 4.3361434993059433e+08 4.2785216793582833e+08 4.2096437267960000e+08 4.1298088625021416e+08 4.0400973683774322e+08 3.9424666709135473e+08 3.8395937004812807e+08 3.7342521768880117e+08 3.6292087425115901e+08 3.5270000043660659e+08 3.4295888287950420e+08 3.3383786396541375e+08 3.2541611652697563e+08 3.1773812256657243e+08 3.1079887904844439e+08 3.0458570510009921e+08 2.9905413147508878e+08 2.9417468116035706e+08 2.8989482706555575e+08 2.8616552361528873e+08 2.8294951082822239e+08 2.8019540392391890e+08 2.7785154577896756e+08 2.7588278941979492e+08 2.7423681945916641e+08 2.7288239642595881e+08 2.7177830185070771e+08 2.7089266698262918e+08 2.7017766391393203e+08 2.6958456518281645e+08 2.6908202969616181e+08 2.6863734206165409e+08 2.6821382526675367e+08 2.6791285819029501e+08 2.6760855495186865e+08 2.6729788218509942e+08 2.6697241708916494e+08 2.6663664656978405e+08 2.6628048977236539e+08 2.6591814254270926e+08 2.6551405832808024e+08 2.6508160932085365e+08 2.6461283970298302e+08 2.6410153703257385e+08 2.6354015205113351e+08 2.6292018040983492e+08 2.6222896294250414e+08 2.6147018555371594e+08 2.6061194004441240e+08 2.5964970882495311e+08 2.5856953135666093e+08 2.5735638372451368e+08 2.5599477251465875e+08 2.5446915700979713e+08 2.5276192540480381e+08 2.5087760520873484e+08 2.4878011209615692e+08 2.4647797815576431e+08 2.4397652829493338e+08 2.4129538225726235e+08 2.3846792167294595e+08 2.3555768480897200e+08 2.3265883056940061e+08 2.2992825192778862e+08 2.2755779150853464e+08 2.2585362071305969e+08 2.2524014486258805e+08 2.2633548617590046e+08 2.3003783657841873e+08 2.3770837819518459e+08 2.5150162589306921e+08 2.7505179201931685e+08 8.9214311358084410e+07 +6.9115705235077760e+00 4.5009353815643555e+08 4.5005076040123999e+08 4.4997892515910089e+08 4.4988626736882257e+08 4.4979683761851960e+08 4.4974715392708564e+08 4.4975306856983906e+08 4.4978724307702380e+08 4.4982232347263080e+08 4.4985309708653009e+08 4.4988308367843872e+08 4.4991288131543368e+08 4.4994197783437258e+08 4.4997033737002879e+08 4.4999822910239118e+08 4.5002575264474213e+08 4.5005308925726563e+08 4.5008062818679523e+08 4.5010886098521674e+08 4.5013827778526652e+08 4.5016940518965131e+08 4.5020267387292206e+08 4.5023770697770768e+08 4.5027361932161421e+08 4.5031466214261669e+08 4.5036424740504825e+08 4.5042011116167903e+08 4.5048078619611746e+08 4.5054563288350272e+08 4.5061362188508463e+08 4.5068289773939657e+08 4.5075038668755281e+08 4.5081130622571707e+08 4.5085853482965583e+08 4.5088182479531050e+08 4.5086673711991239e+08 4.5079339718302345e+08 4.5063496476284051e+08 4.5035595645698923e+08 4.4991034312022483e+08 4.4917898932092148e+08 4.4809779065619481e+08 4.4655785128514332e+08 4.4443300480467021e+08 4.4158507320337653e+08 4.3787385360351372e+08 4.3317235702896386e+08 4.2738643741682315e+08 4.2047648129032671e+08 4.1247332052168244e+08 4.0348577033938181e+08 3.9371009298494250e+08 3.8341415425631851e+08 3.7287520707576227e+08 3.6236950237882000e+08 3.5215008076259655e+08 3.4241254054797542e+08 3.3329654999393493e+08 3.2488070444825405e+08 3.1720900071390975e+08 3.1027610264450234e+08 3.0406906969947106e+08 2.9854329554252768e+08 2.9366918269930500e+08 2.8939417103831899e+08 2.8566920525969124e+08 2.8245701331513023e+08 2.7970624741326809e+08 2.7736529614076972e+08 2.7539903528173316e+08 2.7375521449557203e+08 2.7240261482191145e+08 2.7130006354393423e+08 2.7041571748469710e+08 2.6970180273884213e+08 2.6910965308953255e+08 2.6860795362396592e+08 2.6816402558244815e+08 2.6774124589538589e+08 2.6744080702909112e+08 2.6713703927703267e+08 2.6682691381639537e+08 2.6650202231463936e+08 2.6616684362081146e+08 2.6581131557515237e+08 2.6544960409401974e+08 2.6504623209856284e+08 2.6461454528645495e+08 2.6414660185703573e+08 2.6363620031445488e+08 2.6307580470143113e+08 2.6245692565313917e+08 2.6176692728023157e+08 2.6100948416873786e+08 2.6015275108076158e+08 2.5919221549790049e+08 2.5811394147946766e+08 2.5690293158201316e+08 2.5554371968990603e+08 2.5402079246820819e+08 2.5231657007954308e+08 2.5043556741518241e+08 2.4834177021764484e+08 2.4604369275846824e+08 2.4354665056369299e+08 2.4087022880739790e+08 2.3804775030253580e+08 2.3514264136469054e+08 2.3224889585475698e+08 2.2952312604473871e+08 2.2715684249984917e+08 2.2545567459820485e+08 2.2484328071140888e+08 2.2593669228892040e+08 2.2963251907590723e+08 2.3728954527946678e+08 2.5105849087650567e+08 2.7456715898257077e+08 8.8963438152891338e+07 +6.9165388462820339e+00 4.4990142356853777e+08 4.4985865903580403e+08 4.4978684159641135e+08 4.4969420660252607e+08 4.4960478574620247e+08 4.4955508099859887e+08 4.4956093886250573e+08 4.4959503214711940e+08 4.4963001658405852e+08 4.4966067770392227e+08 4.4969053023419231e+08 4.4972016819790763e+08 4.4974907518808460e+08 4.4977721006728274e+08 4.4980483581533033e+08 4.4983204492144215e+08 4.4985900997503370e+08 4.4988610975213897e+08 4.4991382346986538e+08 4.4994262684633172e+08 4.4997302959248745e+08 4.5000544253055471e+08 4.5003946310942191e+08 4.5007416252595496e+08 4.5011373446855766e+08 4.5016155812214130e+08 4.5021534328944653e+08 4.5027357819353884e+08 4.5033556583163041e+08 4.5040021049781573e+08 4.5046558143792182e+08 4.5052852020899981e+08 4.5058414991827637e+08 4.5062524503398681e+08 4.5064144487876987e+08 4.5061819008318657e+08 4.5053548104228878e+08 4.5036635241787344e+08 4.5007520222106278e+08 4.4961589876685083e+08 4.4886802625848395e+08 4.4776840456473017e+08 4.4620819429449689e+08 4.4406140612355816e+08 4.4119019048320347e+08 4.3745484656021512e+08 4.3272906453820974e+08 4.2691952823660016e+08 4.1998754040032965e+08 4.1196483923526031e+08 4.0296102275463831e+08 3.9317286828489369e+08 3.8286841024693489e+08 3.7232477922166342e+08 3.6181781085606188e+08 3.5159992499360931e+08 3.4186603212869900e+08 3.3275512766284281e+08 3.2434523111965424e+08 3.1667985587637156e+08 3.0975333429056388e+08 3.0355246757927966e+08 2.9803251344493032e+08 2.9316375489530879e+08 2.8889359945278466e+08 2.8517298263267744e+08 2.8196462076419693e+08 2.7921720334444314e+08 2.7687916491983354e+08 2.7491540425321138e+08 2.7327373619107842e+08 2.7192296247356409e+08 2.7082195627661788e+08 2.6993890016110194e+08 2.6922607437658602e+08 2.6863487407088405e+08 2.6813401066384506e+08 2.6769084213298845e+08 2.6726879939660329e+08 2.6696888860357210e+08 2.6666565619108081e+08 2.6635607788305002e+08 2.6603175981366080e+08 2.6569717277751163e+08 2.6534227330060580e+08 2.6498119740359375e+08 2.6457853742557567e+08 2.6414761259274691e+08 2.6368049511860064e+08 2.6317099444911695e+08 2.6261158792508295e+08 2.6199380116145974e+08 2.6130502153354916e+08 2.6054891233869070e+08 2.5969369124511382e+08 2.5873485082090837e+08 2.5765847971593794e+08 2.5644960695068967e+08 2.5509279370054510e+08 2.5357255400496909e+08 2.5187133998032612e+08 2.4999365392856169e+08 2.4790355160517493e+08 2.4560952948549131e+08 2.4311689371631825e+08 2.4044519491181076e+08 2.3762769708442566e+08 2.3472771462964058e+08 2.3183907640689701e+08 2.2911811408886391e+08 2.2675600624260235e+08 2.2505784038929155e+08 2.2444652815619266e+08 2.2553801053943348e+08 2.2922731554652107e+08 2.3687083013871849e+08 2.5061548046289653e+08 2.7408266223668057e+08 8.8713135073062181e+07 +6.9215071690562917e+00 4.4970725872702622e+08 4.4966450585287613e+08 4.4959270952340990e+08 4.4950009739855856e+08 4.4941068581996918e+08 4.4936096030355275e+08 4.4936676149036098e+08 4.4940077352160364e+08 4.4943566198740953e+08 4.4946621066161370e+08 4.4949592922846019e+08 4.4952540766895878e+08 4.4955412534324521e+08 4.4958203585385901e+08 4.4960939598996431e+08 4.4963629113033843e+08 4.4966288521119416e+08 4.4968954655720347e+08 4.4971674207108879e+08 4.4974493308391732e+08 4.4977461244625759e+08 4.4980617116598481e+08 4.4983918105484337e+08 4.4987266978218603e+08 4.4991077358230382e+08 4.4995683891283143e+08 4.5000854939768422e+08 4.5006434880828649e+08 4.5012348289573890e+08 4.5018478974448001e+08 4.5024626349633008e+08 4.5030466124725658e+08 4.5035501198163992e+08 4.5038998647564662e+08 4.5039911145376801e+08 4.5036770762331116e+08 4.5027565091638333e+08 4.5009585148797321e+08 4.4979258946785611e+08 4.4931963143302983e+08 4.4855528551298493e+08 4.4743729462347221e+08 4.4585687704032725e+08 4.4368822164917439e+08 4.4079380820291102e+08 4.3703443835848951e+08 4.3228448113802248e+08 4.2645144895592344e+08 4.1949755838693315e+08 4.1145545051936603e+08 4.0243550190041095e+08 3.9263500044713998e+08 3.8232214508271486e+08 3.7177394078304994e+08 3.6126580593664682e+08 3.5104953900041682e+08 3.4131936313892251e+08 3.3221360217208940e+08 3.2380970146090847e+08 3.1615069273006088e+08 3.0923057845192915e+08 3.0303590302394599e+08 2.9752178931122863e+08 2.9265840174572647e+08 2.8839311619399726e+08 2.8467685952393579e+08 2.8147233688465577e+08 2.7872827535952061e+08 2.7639315570286971e+08 2.7443189987534523e+08 2.7279238804985970e+08 2.7144344285641539e+08 2.7034398350210488e+08 2.6946221844815165e+08 2.6875048225138968e+08 2.6816023154118386e+08 2.6766020422243524e+08 2.6721779511433661e+08 2.6679648916603974e+08 2.6649710630514219e+08 2.6619440908148682e+08 2.6588537776885438e+08 2.6556163296560541e+08 2.6522763741560903e+08 2.6487336631942549e+08 2.6451292583758172e+08 2.6411097767044836e+08 2.6368081459592143e+08 2.6321452283712620e+08 2.6270592277964854e+08 2.6214750505818999e+08 2.6153081026282606e+08 2.6084324902212501e+08 2.6008847337293124e+08 2.5923476383659741e+08 2.5827761808072254e+08 2.5720314933914965e+08 2.5599641308837652e+08 2.5464199778724834e+08 2.5312444484111398e+08 2.5142623830675471e+08 2.4955186792450446e+08 2.4746545940832546e+08 2.4517549145722905e+08 2.4268726084127426e+08 2.4002028362496647e+08 2.3720776503732553e+08 2.3431290758553848e+08 2.3142937517112067e+08 2.2871321897074810e+08 2.2635528561746675e+08 2.2466012094536078e+08 2.2404989004848668e+08 2.2513944379261667e+08 2.2882222890250945e+08 2.3645223578193069e+08 2.5017259783583918e+08 2.7359830526388419e+08 8.8463401463271976e+07 +6.9264754918305496e+00 4.4951104947598857e+08 4.4946831166140157e+08 4.4939653818645060e+08 4.4930394769518459e+08 4.4921454567959768e+08 4.4916479967079037e+08 4.4917054427426666e+08 4.4920447502994037e+08 4.4923926751145095e+08 4.4926970379102677e+08 4.4929928849383724e+08 4.4932860756185079e+08 4.4935713613500983e+08 4.4938482256764054e+08 4.4941191746617627e+08 4.4943849911441606e+08 4.4946472281143904e+08 4.4949094645099312e+08 4.4951762464188468e+08 4.4954520435614538e+08 4.4957416161508560e+08 4.4960486765025240e+08 4.4963686869167596e+08 4.4966914897635436e+08 4.4970578738091969e+08 4.4975009768632889e+08 4.4979973741163272e+08 4.4985310598299593e+08 4.4990939203829712e+08 4.4996736761155981e+08 4.5002495192793661e+08 4.5007881784703726e+08 4.5012390049628031e+08 4.5015276727562815e+08 4.5015483268731612e+08 4.5011529795773882e+08 4.5001391507926142e+08 4.4982347030833048e+08 4.4950812659783077e+08 4.4902154958651549e+08 4.4824077562752610e+08 4.4710446944704020e+08 4.4550390819905341e+08 4.4331346010361397e+08 4.4039593510467064e+08 4.3661263772455025e+08 4.3183861549027723e+08 4.2598220811513942e+08 4.1900654360635722e+08 4.1094516247867215e+08 4.0190921557086217e+08 3.9209649690549046e+08 3.8177536580416036e+08 3.7122269839218116e+08 3.6071349385015732e+08 3.5049892862997139e+08 3.4077253907323742e+08 3.3167197870025414e+08 3.2327412037110829e+08 3.1562151593065202e+08 3.0870783957408381e+08 3.0251938029827195e+08 2.9701112725271833e+08 2.9215312722959352e+08 2.8789272512896031e+08 2.8418083970556784e+08 2.8098016536862963e+08 2.7823946708359426e+08 2.7590727205990589e+08 2.7394852567258275e+08 2.7231117356007057e+08 2.7096405942960817e+08 2.6986614865742314e+08 2.6898567576636630e+08 2.6827502977050492e+08 2.6768572889868864e+08 2.6718653769070721e+08 2.6674488791103661e+08 2.6632431858249956e+08 2.6602546350922921e+08 2.6572330132012457e+08 2.6541481684138915e+08 2.6509164513430971e+08 2.6475824089423788e+08 2.6440459798624381e+08 2.6404479274610931e+08 2.6364355617809618e+08 2.6321415463532805e+08 2.6274868834664845e+08 2.6224098863367286e+08 2.6168355942095810e+08 2.6106795626978174e+08 2.6038161304946160e+08 2.5962817056605455e+08 2.5877597213857418e+08 2.5782052054876056e+08 2.5674795360669345e+08 2.5554335323773050e+08 2.5419133517511091e+08 2.5267646818303084e+08 2.5098126824329749e+08 2.4911021256381017e+08 2.4702749676156357e+08 2.4474158177868560e+08 2.4225775501231527e+08 2.3959549798706198e+08 2.3678795716552377e+08 2.3389822320015529e+08 2.3101979507868546e+08 2.2830844358714500e+08 2.2595468349133942e+08 2.2426251911168426e+08 2.2365336922583833e+08 2.2474099490026671e+08 2.2841726204164451e+08 2.3603376520382011e+08 2.4972984616386724e+08 2.7311409152889293e+08 8.8214236665496156e+07 +6.9314438146048074e+00 4.4931280857678771e+08 4.4927008305950713e+08 4.4919833199046129e+08 4.4910576506271404e+08 4.4901637314127314e+08 4.4896660693013310e+08 4.4897229503374290e+08 4.4900614449986100e+08 4.4904084098361909e+08 4.4907116492104292e+08 4.4910061586093765e+08 4.4912977570915288e+08 4.4915811539739281e+08 4.4918557804426801e+08 4.4921240808228725e+08 4.4923867671434557e+08 4.4926453061994272e+08 4.4929031728056532e+08 4.4931647903385848e+08 4.4934344851877397e+08 4.4937168495969492e+08 4.4940153985007489e+08 4.4943253389470935e+08 4.4946360799294829e+08 4.4949878375900567e+08 4.4954134235051745e+08 4.4958891525345910e+08 4.4963985765740985e+08 4.4969330121951926e+08 4.4974795208196741e+08 4.4980165474298614e+08 4.4985099804937798e+08 4.4989082353834349e+08 4.4991359555052650e+08 4.4990861674091482e+08 4.4986096929912025e+08 4.4975028179870528e+08 4.4954921720760906e+08 4.4922182200408262e+08 4.4872166168874753e+08 4.4792450513579416e+08 4.4676993763885427e+08 4.4514929643504006e+08 4.4293713019495159e+08 4.3999657991479439e+08 4.3618945336664301e+08 4.3139147623840988e+08 4.2551181423568881e+08 4.1851450439289123e+08 4.1043398319624567e+08 4.0138217153567588e+08 3.9155736506819314e+08 3.8122807942655051e+08 3.7067105865775090e+08 3.6016088080301088e+08 3.4994809970644993e+08 3.4022556540408564e+08 3.3113026240363657e+08 3.2273849272796834e+08 3.1509233011307925e+08 3.0818512208288097e+08 3.0200290364862132e+08 2.9650053136094517e+08 2.9164793530764055e+08 2.8739243010632771e+08 2.8368492693185019e+08 2.8048810989110178e+08 2.7775078212503809e+08 2.7542151754381710e+08 2.7346528515341347e+08 2.7183009619367558e+08 2.7048481563648951e+08 2.6938845516332400e+08 2.6850927551965362e+08 2.6779972032555082e+08 2.6721136952551523e+08 2.6671301444356081e+08 2.6627212389181504e+08 2.6585229100931376e+08 2.6555396357527208e+08 2.6525233626203594e+08 2.6494439845228910e+08 2.6462179966689175e+08 2.6428898655638206e+08 2.6393597164024839e+08 2.6357680146345013e+08 2.6317627627787057e+08 2.6274763603504390e+08 2.6228299496487916e+08 2.6177619532238275e+08 2.6121975431786254e+08 2.6060524247890535e+08 2.5992011690383747e+08 2.5916800719606265e+08 2.5831731941859099e+08 2.5736356148056254e+08 2.5629289576074016e+08 2.5509043062535444e+08 2.5374080907394239e+08 2.5222862722119561e+08 2.5053643295935246e+08 2.4866869099188304e+08 2.4658966678382745e+08 2.4430780354065299e+08 2.4182837928872630e+08 2.3917084102350745e+08 2.3636827645902964e+08 2.3348366442713022e+08 2.3061033904675615e+08 2.2790379082096857e+08 2.2555420271735162e+08 2.2386503772053021e+08 2.2325696851260850e+08 2.2434266670007187e+08 2.2801241784873539e+08 2.3561542138515654e+08 2.4928722860058028e+08 2.7263002448072916e+08 8.7965640019034341e+07 +6.9364121373790653e+00 4.4911254125613749e+08 4.4906982937453169e+08 4.4899810023878777e+08 4.4890555720370477e+08 4.4881617600168711e+08 4.4876638991150302e+08 4.4877202158678085e+08 4.4880578975644553e+08 4.4884039022971576e+08 4.4887060187943429e+08 4.4889991915846580e+08 4.4892891994110960e+08 4.4895707096297193e+08 4.4898431011791283e+08 4.4901087567443049e+08 4.4903683176916033e+08 4.4906231647810483e+08 4.4908766689123607e+08 4.4911331309617436e+08 4.4913967342579854e+08 4.4916719033985543e+08 4.4919619563216108e+08 4.4922618453730124e+08 4.4925605471372163e+08 4.4928977060937965e+08 4.4933058081048745e+08 4.4937609084316462e+08 4.4942461176839483e+08 4.4947521839623225e+08 4.4952655113653398e+08 4.4957637994897771e+08 4.4962120989210075e+08 4.4965578918025595e+08 4.4967247941257370e+08 4.4966047177132010e+08 4.4960472985419405e+08 4.4948475933680534e+08 4.4927310050760126e+08 4.4893368407327259e+08 4.4841997619199240e+08 4.4760648256277353e+08 4.4643370779212934e+08 4.4479305040071005e+08 4.4255924061862975e+08 4.3959575134558493e+08 4.3576489397725457e+08 4.3094307200756043e+08 4.2504027581840688e+08 4.1802144905936712e+08 4.0992192073221904e+08 4.0085437754211634e+08 3.9101761232084501e+08 3.8068029294028467e+08 3.7011902816359085e+08 3.5960797297783071e+08 3.4939705803116918e+08 3.3967844758182311e+08 3.3058845841659528e+08 3.2220282338842905e+08 3.1456313989291924e+08 3.0766243038469076e+08 3.0148647730184400e+08 2.9599000570978719e+08 2.9114282992255235e+08 2.8689223495808661e+08 2.8318912493993139e+08 2.7999617410922229e+08 2.7726222407509243e+08 2.7493589569077331e+08 2.7298218180844092e+08 2.7134915940517986e+08 2.7000571490317971e+08 2.6891090642427897e+08 2.6803302109560463e+08 2.6732455729155824e+08 2.6673715678735164e+08 2.6623963783913261e+08 2.6579950640910676e+08 2.6538040979347086e+08 2.6508260984616655e+08 2.6478151724692637e+08 2.6447412593710649e+08 2.6415209989486128e+08 2.6381987772982714e+08 2.6346749060422263e+08 2.6310895530790845e+08 2.6270914128269857e+08 2.6228126210251054e+08 2.6181744599387011e+08 2.6131154614155796e+08 2.6075609303743625e+08 2.6014267217124972e+08 2.5945876385736579e+08 2.5870798652618489e+08 2.5785880892881760e+08 2.5690674411620742e+08 2.5583797902799749e+08 2.5463764846290791e+08 2.5329042267838085e+08 2.5178092513114509e+08 2.5009173560913372e+08 2.4822730633981732e+08 2.4615197257971004e+08 2.4387415981866908e+08 2.4139913671471152e+08 2.3874631574515224e+08 2.3594872589374384e+08 2.3306923420597792e+08 2.3020100997875220e+08 2.2749926354168776e+08 2.2515384613524592e+08 2.2346767958980814e+08 2.2286069071922970e+08 2.2394446201647973e+08 2.2760769919405779e+08 2.3519720729193887e+08 2.4884474828454000e+08 2.7214610755143410e+08 8.7717610860534400e+07 +6.9413804601533231e+00 4.4891025457332522e+08 4.4886755625888675e+08 4.4879585102436268e+08 4.4870333204001248e+08 4.4861396206481463e+08 4.4856415644422895e+08 4.4856973174974823e+08 4.4860341862255406e+08 4.4863792307323551e+08 4.4866802249146050e+08 4.4869720621343726e+08 4.4872604808588320e+08 4.4875401066116071e+08 4.4878102662057722e+08 4.4880732807686776e+08 4.4883297211571002e+08 4.4885808822619087e+08 4.4888300312641519e+08 4.4890813467636746e+08 4.4893388692886049e+08 4.4896068561277986e+08 4.4898884285942161e+08 4.4901782849018592e+08 4.4904649701814288e+08 4.4907875582133979e+08 4.4911782096847665e+08 4.4916127209766072e+08 4.4920737625017303e+08 4.4925515152267694e+08 4.4930317275175852e+08 4.4934913554833186e+08 4.4938946140851909e+08 4.4941880549085689e+08 4.4942942696974665e+08 4.4941040593116385e+08 4.4934658782436877e+08 4.4921735594964427e+08 4.4899512852378047e+08 4.4864372118330216e+08 4.4811650154114652e+08 4.4728671642357296e+08 4.4609578848923755e+08 4.4443517873659998e+08 4.4217980005627292e+08 4.3919345809409118e+08 4.3533896823226327e+08 4.3049341140491450e+08 4.2456760134498340e+08 4.1752738589804709e+08 4.0940898312422365e+08 4.0032584131377876e+08 3.9047724602416646e+08 3.8013201331274426e+08 3.6956661347039366e+08 3.5905477653364217e+08 3.4884580938184863e+08 3.3913119103406918e+08 3.3004657185310948e+08 3.2166711718890125e+08 3.1403394986469972e+08 3.0713976886584115e+08 3.0097010546570581e+08 2.9547955435382444e+08 2.9063781499884117e+08 2.8639214349716282e+08 2.8269343744940865e+08 2.7950436166360563e+08 2.7677379650787586e+08 2.7445041002010995e+08 2.7249921911241609e+08 2.7086836663354880e+08 2.6952676063971967e+08 2.6843350582793757e+08 2.6755691586547831e+08 2.6684954402770022e+08 2.6626309403409424e+08 2.6576641122007981e+08 2.6532703879942223e+08 2.6490867826603130e+08 2.6461140564915264e+08 2.6431084759798700e+08 2.6400400261520049e+08 2.6368254913366193e+08 2.6335091772561654e+08 2.6299915818482745e+08 2.6264125758191922e+08 2.6224215449031785e+08 2.6181503612982169e+08 2.6135204471977586e+08 2.6084704437098041e+08 2.6029257885272509e+08 2.5968024861179441e+08 2.5899755716675746e+08 2.5824811180322266e+08 2.5740044390590808e+08 2.5645007168032974e+08 2.5538320661940029e+08 2.5418500994601056e+08 2.5284017916736391e+08 2.5133336507289055e+08 2.4964717933147404e+08 2.4778606172263533e+08 2.4571441723897955e+08 2.4344065367364872e+08 2.4097003032032353e+08 2.3832192514876091e+08 2.3552930843101791e+08 2.3265493546175227e+08 2.2979181076391050e+08 2.2709486460432982e+08 2.2475361657094544e+08 2.2307044752466688e+08 2.2246453864322972e+08 2.2354638366035724e+08 2.2720310893440595e+08 2.3477912587656975e+08 2.4840240833888334e+08 2.7166234415695131e+08 8.7470148524015591e+07 +6.9463487829275810e+00 4.4870595847122782e+08 4.4866327845788187e+08 4.4859159327048051e+08 4.4849909731127775e+08 4.4840973916355520e+08 4.4835991435527182e+08 4.4836543333900899e+08 4.4839903891812086e+08 4.4843344733511233e+08 4.4846343458064669e+08 4.4849248485058838e+08 4.4852116796950799e+08 4.4854894231977105e+08 4.4857573538237256e+08 4.4860177312187713e+08 4.4862710558844113e+08 4.4865185370092797e+08 4.4867633382671428e+08 4.4870095161842424e+08 4.4872609687725937e+08 4.4875217863282233e+08 4.4877948939263397e+08 4.4880747362152606e+08 4.4883494278248715e+08 4.4886574728278971e+08 4.4890307072390723e+08 4.4894446693153632e+08 4.4898815903380036e+08 4.4903310854965001e+08 4.4907782490119588e+08 4.4911992954130650e+08 4.4915576062889296e+08 4.4917988053430212e+08 4.4918444632498074e+08 4.4915842736718833e+08 4.4908655140612513e+08 4.4894807988747030e+08 4.4871530956532860e+08 4.4835194170576698e+08 4.4781124617212385e+08 4.4696521522401249e+08 4.4575618830254000e+08 4.4407569007138675e+08 4.4179881717624730e+08 4.3878970884217834e+08 4.3491168479096192e+08 4.3004250301904887e+08 4.2409379927647001e+08 4.1703232318018621e+08 4.0889517838735378e+08 3.9979657055061674e+08 3.8993627351510036e+08 3.7958324748694086e+08 3.6901382111440068e+08 3.5850129760577494e+08 3.4829435951446813e+08 3.3858380116641247e+08 3.2950460780451959e+08 3.2113137894409925e+08 3.1350476460328317e+08 3.0661714189359105e+08 3.0045379232906497e+08 2.9496918132974231e+08 2.9013289444272578e+08 2.8589215951952249e+08 2.8219786816204983e+08 2.7901267617744714e+08 2.7628550298067576e+08 2.7396506403483403e+08 2.7201640052352875e+08 2.7038772130078131e+08 2.6904795624001557e+08 2.6795625674640444e+08 2.6708096318481544e+08 2.6637468387670416e+08 2.6578918459887722e+08 2.6529333791262785e+08 2.6485472438282189e+08 2.6443709974162349e+08 2.6414035429540521e+08 2.6384033062265334e+08 2.6353403179014421e+08 2.6321315068299857e+08 2.6288210983887067e+08 2.6253097767330772e+08 2.6217371157171538e+08 2.6177531918183717e+08 2.6134896139320773e+08 2.6088679441296464e+08 2.6038269327473852e+08 2.5982921502074495e+08 2.5921797505008760e+08 2.5853650007298350e+08 2.5778838625861362e+08 2.5694222757075319e+08 2.5599354738168773e+08 2.5492858173058242e+08 2.5373251825592431e+08 2.5239008170492125e+08 2.5088595019163930e+08 2.4920276725034338e+08 2.4734496024096844e+08 2.4527700383576474e+08 2.4300728815182805e+08 2.4054106312101310e+08 2.3789767221648014e+08 2.3511002701813024e+08 2.3224077110608986e+08 2.2938274427763042e+08 2.2669059685080111e+08 2.2435351683679605e+08 2.2267334431638989e+08 2.2206851506806737e+08 2.2314843442876357e+08 2.2679864991299114e+08 2.3436118007665586e+08 2.4796021187206852e+08 2.7117873769670355e+08 8.7223252340892568e+07 +6.9513171057018388e+00 4.4849965844873410e+08 4.4845699253967750e+08 4.4838533188538158e+08 4.4829286104691416e+08 4.4820351514726621e+08 4.4815367146563023e+08 4.4815913417070121e+08 4.4819265846127057e+08 4.4822697083479673e+08 4.4825684596794546e+08 4.4828576289180607e+08 4.4831428741581649e+08 4.4834187376448578e+08 4.4836844423042148e+08 4.4839421863859409e+08 4.4841924001994753e+08 4.4844362073786288e+08 4.4846766683076328e+08 4.4849177176517868e+08 4.4851631111796027e+08 4.4854167725213683e+08 4.4856814309006613e+08 4.4859512779709154e+08 4.4862139988183641e+08 4.4865075287740022e+08 4.4868633797384775e+08 4.4872568325545502e+08 4.4876696804767078e+08 4.4880909742432392e+08 4.4885051555502331e+08 4.4888876992400473e+08 4.4892011557874691e+08 4.4893902237060040e+08 4.4893754557697898e+08 4.4890454422184783e+08 4.4882462878942651e+08 4.4867693939411300e+08 4.4843365193293154e+08 4.4805835400381744e+08 4.4750421851191568e+08 4.4664198746073687e+08 4.4541491579298371e+08 4.4371459302131611e+08 4.4141630063340878e+08 4.3838451225656623e+08 4.3448305229508591e+08 4.2959035542032546e+08 4.2361887805364418e+08 4.1653626915412456e+08 4.0838051451411980e+08 3.9926657292917019e+08 3.8939470210726011e+08 3.7903400238159841e+08 3.6846065760755759e+08 3.5794754230667776e+08 3.4774271416067374e+08 3.3803628336172760e+08 3.2896257134112608e+08 3.2059561344855189e+08 3.1297558866313493e+08 3.0609455381553572e+08 2.9993754206213695e+08 2.9445889065517312e+08 2.8962807214247966e+08 2.8539228680321527e+08 2.8170242076270264e+08 2.7852112125655061e+08 2.7579734703391707e+08 2.7347986122051865e+08 2.7153372948345578e+08 2.6990722681249619e+08 2.6856930508128202e+08 2.6747916253497443e+08 2.6660516639247844e+08 2.6589998016534597e+08 2.6531543179942989e+08 2.6482042122705323e+08 2.6438256646388358e+08 2.6396567751941675e+08 2.6366945908021060e+08 2.6336996961221907e+08 2.6306421674962845e+08 2.6274390782628024e+08 2.6241345734936893e+08 2.6206295234468096e+08 2.6170632054805699e+08 2.6130863862301487e+08 2.6088304115290228e+08 2.6042169832806993e+08 2.5991849610086715e+08 2.5936600478272730e+08 2.5875585471988282e+08 2.5807559580112073e+08 2.5732881310852194e+08 2.5648416312790465e+08 2.5553717441378617e+08 2.5447410754202640e+08 2.5328017655751550e+08 2.5194013343948823e+08 2.5043868361717048e+08 2.4875850247469637e+08 2.4690400498076811e+08 2.4483973543016955e+08 2.4257406628477448e+08 2.4011223811711451e+08 2.3747355991620073e+08 2.3469088458820143e+08 2.3182674403593040e+08 2.2897381338176787e+08 2.2628646310895324e+08 2.2395354973162565e+08 2.2227637274241513e+08 2.2167262276429227e+08 2.2275061710582271e+08 2.2639432495886907e+08 2.3394337281573647e+08 2.4751816197737125e+08 2.7069529155318910e+08 8.6976921639998779e+07 +6.9562854284760967e+00 4.4829136739064264e+08 4.4824871084324557e+08 4.4817707621365446e+08 4.4808463117743891e+08 4.4799529784597832e+08 4.4794543559175682e+08 4.4795084206104988e+08 4.4798428506590396e+08 4.4801850138964880e+08 4.4804826447161853e+08 4.4807704815750045e+08 4.4810541424604285e+08 4.4813281281840014e+08 4.4815916098942053e+08 4.4818467245506066e+08 4.4820938323935372e+08 4.4823339716969907e+08 4.4825700997442174e+08 4.4828060295623326e+08 4.4830453749519765e+08 4.4832918932035410e+08 4.4835481180792588e+08 4.4838079887905759e+08 4.4840587618673062e+08 4.4843378048715472e+08 4.4846763061174768e+08 4.4850492897780329e+08 4.4854381121600223e+08 4.4858312609072638e+08 4.4862125267969811e+08 4.4865566468864971e+08 4.4868253428029895e+08 4.4869623905459607e+08 4.4868873281952709e+08 4.4864876463128221e+08 4.4856082815932339e+08 4.4840394270644087e+08 4.4815016392255396e+08 4.4776296643319827e+08 4.4719542697996712e+08 4.4631704162004441e+08 4.4507197951075584e+08 4.4335189619104010e+08 4.4103225906884581e+08 4.3797787698881775e+08 4.3405307936983454e+08 4.2913697716023362e+08 4.2314284609870386e+08 4.1603923204729146e+08 4.0786499947421461e+08 3.9873585610292429e+08 3.8885253908939606e+08 3.7848428489155048e+08 3.6790712943888813e+08 3.5739351672450680e+08 3.4719087902998090e+08 3.3748864298122019e+08 3.2842046751169229e+08 3.2005982547619987e+08 3.1244642657842219e+08 3.0557200895951420e+08 2.9942135881544900e+08 2.9394868632979631e+08 2.8912335196850759e+08 2.8489252910862911e+08 2.8120709891889638e+08 2.7802970049055064e+08 2.7530933219111413e+08 2.7299480504669994e+08 2.7105120941681641e+08 2.6942688655808830e+08 2.6809081052477208e+08 2.6700222653303325e+08 2.6612952881104511e+08 2.6542543620413220e+08 2.6484183893709546e+08 2.6434766445759693e+08 2.6391056833068803e+08 2.6349441488201040e+08 2.6319872328270304e+08 2.6289976784234226e+08 2.6259456076491475e+08 2.6227482383147493e+08 2.6194496352063715e+08 2.6159508545823401e+08 2.6123908776583350e+08 2.6084211606365463e+08 2.6041727865334943e+08 2.5995675970365816e+08 2.5945445608205241e+08 2.5890295136444050e+08 2.5829389083917156e+08 2.5761484756074530e+08 2.5686939555314606e+08 2.5602625376822954e+08 2.5508095595488784e+08 2.5401978721815234e+08 2.5282798800088182e+08 2.5149033750439227e+08 2.4999156846380267e+08 2.4831438809818006e+08 2.4646319901253355e+08 2.4440261506731400e+08 2.4214099108917657e+08 2.3968355829515517e+08 2.3704959120091966e+08 2.3427188405985484e+08 2.3141285713447148e+08 2.2856502092367107e+08 2.2588246619292229e+08 2.2355371804054552e+08 2.2187953556763065e+08 2.2127686448873243e+08 2.2235293446158743e+08 2.2599013688801360e+08 2.3352570700339940e+08 2.4707626173332334e+08 2.7021200909340805e+08 8.6731155747609675e+07 +6.9612537512503545e+00 4.4808108490715033e+08 4.4803844479149514e+08 4.4796683433933640e+08 4.4787441540401024e+08 4.4778509505618072e+08 4.4773521454794258e+08 4.4774056482544720e+08 4.4777392654546332e+08 4.4780804681373721e+08 4.4783769790832466e+08 4.4786634846510094e+08 4.4789455627899951e+08 4.4792176730181563e+08 4.4794789348258060e+08 4.4797314239442891e+08 4.4799754307394189e+08 4.4802119082653803e+08 4.4804437109080124e+08 4.4806745302908456e+08 4.4809078385052735e+08 4.4811472268442601e+08 4.4813950339837867e+08 4.4816449472761148e+08 4.4818837956578517e+08 4.4821483799001336e+08 4.4824695652846992e+08 4.4828221200305980e+08 4.4831869646026325e+08 4.4835520248978394e+08 4.4839004423731917e+08 4.4842062182348782e+08 4.4844302475079566e+08 4.4845153863792908e+08 4.4843801614100885e+08 4.4839109672720796e+08 4.4829515769458050e+08 4.4812909805641156e+08 4.4786485382090402e+08 4.4746578734200066e+08 4.4688487998594981e+08 4.4599038617880201e+08 4.4472738799546242e+08 4.4298760817231864e+08 4.4064670110945612e+08 4.3756981167501014e+08 4.3362177462394440e+08 4.2868237677250266e+08 4.2266571181218749e+08 4.1554122006654078e+08 4.0734864121512133e+08 3.9820442770084333e+08 3.8830979172707999e+08 3.7793410188692296e+08 3.6735324307264417e+08 3.5683922692409337e+08 3.4663885980865330e+08 3.3694088536369395e+08 3.2787830134315884e+08 3.1952401977944463e+08 3.1191728286365944e+08 3.0504951163429850e+08 2.9890524672123295e+08 2.9343857233441716e+08 2.8861873777260560e+08 2.8439289017856544e+08 2.8071190628039664e+08 2.7753841745081383e+08 2.7482146195911461e+08 2.7250989896595800e+08 2.7056884373210162e+08 2.6894670391027927e+08 2.6761247591503081e+08 2.6652545206375226e+08 2.6565405374784356e+08 2.6495105528776801e+08 2.6436840929716513e+08 2.6387507088233125e+08 2.6343873325570890e+08 2.6302331509674144e+08 2.6272815016588837e+08 2.6242972857233775e+08 2.6212506709229797e+08 2.6180590194990543e+08 2.6147663160027349e+08 2.6112738025705731e+08 2.6077201646348292e+08 2.6037575473796728e+08 2.5995167712346479e+08 2.5949198176287347e+08 2.5899057643515438e+08 2.5844005797573072e+08 2.5783208661028016e+08 2.5715425854633221e+08 2.5641013677712220e+08 2.5556850266538960e+08 2.5462489516746232e+08 2.5356562390870309e+08 2.5237595572046739e+08 2.5104069701765394e+08 2.4954460783157867e+08 2.4787042719954941e+08 2.4602254539177912e+08 2.4396564577712590e+08 2.4170806556717825e+08 2.3925502662665403e+08 2.3662576901000121e+08 2.3385302833746848e+08 2.3099911327077442e+08 2.2815636973747391e+08 2.2547860890345004e+08 2.2315402453543258e+08 2.2148283554250711e+08 2.2088124298470715e+08 2.2195538925297999e+08 2.2558608850209990e+08 2.3310818553530860e+08 2.4663451420288759e+08 2.6972889366715199e+08 8.6485953987466171e+07 +6.9662220740246124e+00 4.4786882457075161e+08 4.4782619939714015e+08 4.4775461454680568e+08 4.4766222124699116e+08 4.4757291456295145e+08 4.4752301614723593e+08 4.4752831027994597e+08 4.4756159070889288e+08 4.4759561491978586e+08 4.4762515409069151e+08 4.4765367162889647e+08 4.4768172133067191e+08 4.4770874503272635e+08 4.4773464952869147e+08 4.4775963627997714e+08 4.4778372734837675e+08 4.4780700953492272e+08 4.4782975801031005e+08 4.4785232981747979e+08 4.4787505802261561e+08 4.4789828518751854e+08 4.4792222571150422e+08 4.4794622320029938e+08 4.4796891788415724e+08 4.4799393326193708e+08 4.4802432361139959e+08 4.4805754023281819e+08 4.4809163169797695e+08 4.4812533455774051e+08 4.4815689818762046e+08 4.4818364931197679e+08 4.4820159500315410e+08 4.4820492916652793e+08 4.4818540362583470e+08 4.4813154863579512e+08 4.4802762556803995e+08 4.4785241366800833e+08 4.4757772990917230e+08 4.4716682507018399e+08 4.4657258593126637e+08 4.4566202960428482e+08 4.4438114977522522e+08 4.4262173754445332e+08 4.4025963536928326e+08 4.3716032493622047e+08 4.3318914664847219e+08 4.2822656277086473e+08 4.2218748357522410e+08 4.1504224139644080e+08 4.0683144766150850e+08 3.9767229532996494e+08 3.8776646726117420e+08 3.7738346021447730e+08 3.6679900494969434e+08 3.5628467894671142e+08 3.4608666216017979e+08 3.3639301582550538e+08 3.2733607784104544e+08 3.1898820109044427e+08 3.1138816201285762e+08 3.0452706612867057e+08 2.9838920989225453e+08 2.9292855263155186e+08 2.8811423338958764e+08 2.8389337373794031e+08 2.8021684647987115e+08 2.7704727569240993e+08 2.7433373982746148e+08 2.7202514641440725e+08 2.7008663582157797e+08 2.6846668222565150e+08 2.6713430458094588e+08 2.6604884243382636e+08 2.6517874449343723e+08 2.6447684069471115e+08 2.6389514614903486e+08 2.6340264376374432e+08 2.6296706449530643e+08 2.6255238141449046e+08 2.6225774297751746e+08 2.6195985504602441e+08 2.6165573897135335e+08 2.6133714541787136e+08 2.6100846482016665e+08 2.6065983996909228e+08 2.6030510986460209e+08 2.5990955786370555e+08 2.5948623977608502e+08 2.5902736771307430e+08 2.5852686036130232e+08 2.5797732781123298e+08 2.5737044522045869e+08 2.5669383193575639e+08 2.5595103994982335e+08 2.5511091297850722e+08 2.5416899519846430e+08 2.5311162074754399e+08 2.5192408283597875e+08 2.5059121508224219e+08 2.4909780480432320e+08 2.4742662284235761e+08 2.4558204715960047e+08 2.4352883057514083e+08 2.4127529270635986e+08 2.3882664606890866e+08 2.3620209626806167e+08 2.3343432031208697e+08 2.3058551530037317e+08 2.2774786264296219e+08 2.2507489402736446e+08 2.2275447197436631e+08 2.2108627540481907e+08 2.2048576098251370e+08 2.2155798422350070e+08 2.2518218258945143e+08 2.3269081129210916e+08 2.4619292243483007e+08 2.6924594860816538e+08 8.6241315680797681e+07 +6.9711903967988702e+00 4.4765458899408811e+08 4.4761198650901514e+08 4.4754042305574739e+08 4.4744805650571907e+08 4.4735876416735339e+08 4.4730884820203292e+08 4.4731408623784131e+08 4.4734728536323464e+08 4.4738121351646399e+08 4.4741064082947993e+08 4.4743902546115154e+08 4.4746691721455103e+08 4.4749375382584196e+08 4.4751943694551229e+08 4.4754416192982268e+08 4.4756794388415253e+08 4.4759086111956447e+08 4.4761317856070745e+08 4.4763524115292096e+08 4.4765736784710896e+08 4.4767988467131871e+08 4.4770298659456211e+08 4.4772599215061575e+08 4.4774749900400978e+08 4.4777107417483336e+08 4.4779973974395901e+08 4.4783092156500751e+08 4.4786262484404463e+08 4.4789353022812676e+08 4.4792182248448527e+08 4.4794475513452446e+08 4.4795825304584801e+08 4.4795641868162817e+08 4.4793090335164368e+08 4.4787012847668725e+08 4.4775823994633007e+08 4.4757389775941169e+08 4.4728880046040946e+08 4.4686608794958061e+08 4.4625855320865846e+08 4.4533198035326958e+08 4.4403327336752713e+08 4.4225429287520093e+08 4.3987107044702929e+08 4.3674942537777555e+08 4.3275520401798761e+08 4.2776954365108359e+08 4.2170816974857336e+08 4.1454230419975573e+08 4.0631342671479750e+08 3.9713946657221121e+08 3.8722257290913415e+08 3.7683236669644833e+08 3.6624442148636371e+08 3.5572987881082916e+08 3.4553429172544700e+08 3.3584503966116083e+08 3.2679380199001503e+08 3.1845237412066370e+08 3.1085906850035554e+08 3.0400467671235955e+08 2.9787325242312926e+08 2.9241863116547030e+08 2.8760984263501686e+08 2.8339398349426174e+08 2.7972192313285077e+08 2.7655627875300920e+08 2.7384616926926976e+08 2.7154055081119817e+08 2.6960458906068444e+08 2.6798682484469625e+08 2.6665629983460918e+08 2.6557240093446514e+08 2.6470360432181939e+08 2.6400279568744898e+08 2.6342205274592069e+08 2.6293038634776482e+08 2.6249556528989607e+08 2.6208161707030457e+08 2.6178750494889104e+08 2.6149015049116752e+08 2.6118657962615728e+08 2.6086855745540401e+08 2.6054046639665636e+08 2.6019246780607146e+08 2.5983837117634019e+08 2.5944352864390647e+08 2.5902096980863628e+08 2.5856292074574116e+08 2.5806331104585239e+08 2.5751476404950964e+08 2.5690896984048122e+08 2.5623357089263958e+08 2.5549210822489157e+08 2.5465348785059792e+08 2.5371325918006667e+08 2.5265778085368413e+08 2.5147237245164499e+08 2.5014189478589520e+08 2.4865116245168129e+08 2.4698297807566443e+08 2.4514170734184358e+08 2.4309217246205777e+08 2.4084267547961435e+08 2.3839841956458673e+08 2.3577857588564104e+08 2.3301576285931936e+08 2.3017206606415147e+08 2.2733950244672185e+08 2.2467132433785477e+08 2.2235506310217041e+08 2.2068985787876773e+08 2.2009042119891760e+08 2.2116072210287514e+08 2.2477842192469245e+08 2.3227358714151886e+08 2.4575148946269122e+08 2.6876317723447675e+08 8.5997240146345332e+07 +6.9761587195731281e+00 4.4743839560308391e+08 4.4739580461931235e+08 4.4732426978052670e+08 4.4723192909552735e+08 4.4714265168793494e+08 4.4709271852499557e+08 4.4709790050988424e+08 4.4713101831252170e+08 4.4716485041118515e+08 4.4719416593300503e+08 4.4722241777087140e+08 4.4725015174087679e+08 4.4727680149339789e+08 4.4730226354618931e+08 4.4732672716065991e+08 4.4735020049939233e+08 4.4737275340185839e+08 4.4739464056652409e+08 4.4741619486383849e+08 4.4743772115660787e+08 4.4745952897293097e+08 4.4748179389070016e+08 4.4750380942887962e+08 4.4752413078407198e+08 4.4754626859732652e+08 4.4757321280701911e+08 4.4760236389381921e+08 4.4763168380844599e+08 4.4765979742966193e+08 4.4768482507896805e+08 4.4770394726650757e+08 4.4771300688331413e+08 4.4770601521961641e+08 4.4767452339236891e+08 4.4760684436501414e+08 4.4748700899021012e+08 4.4729355854144788e+08 4.4699807373991781e+08 4.4656358430306685e+08 4.4594279020107383e+08 4.4500024687257767e+08 4.4368376727735460e+08 4.4188528271830851e+08 4.3948101492876858e+08 4.3633712158923978e+08 4.3231995528959250e+08 4.2731132789103043e+08 4.2122777867265564e+08 4.1404141661783528e+08 4.0579458625440389e+08 3.9660594898672670e+08 3.8667811586374927e+08 3.7628082813106644e+08 3.6568949907596850e+08 3.5517483251066250e+08 3.4498175412158293e+08 3.3529696214298362e+08 3.2625147875282508e+08 3.1791654356060612e+08 3.1033000678040135e+08 3.0348234763573158e+08 2.9735737838902384e+08 2.9190881186185998e+08 2.8710556930772656e+08 2.8289472313768405e+08 2.7922713983737594e+08 2.7606543015370148e+08 2.7335875374125838e+08 2.7105611555952537e+08 2.6912270680847538e+08 2.6750713509106705e+08 2.6617846497244200e+08 2.6509613084025830e+08 2.6422863649228144e+08 2.6352892351234117e+08 2.6294913232537168e+08 2.6245830186525148e+08 2.6202423886400130e+08 2.6161102528377101e+08 2.6131743929550570e+08 2.6102061811972323e+08 2.6071759226506862e+08 2.6040014126672012e+08 2.6007263952973232e+08 2.5972526696381792e+08 2.5937180359057945e+08 2.5897767026526520e+08 2.5855587040281302e+08 2.5809864403729391e+08 2.5759993165889636e+08 2.5705236985356432e+08 2.5644766362618649e+08 2.5577347856376207e+08 2.5503334474074051e+08 2.5419623041020593e+08 2.5325769022854146e+08 2.5220410733040312e+08 2.5102082765613639e+08 2.4969273920128661e+08 2.4820468382786760e+08 2.4653949593329114e+08 2.4470152894978240e+08 2.4265567442372960e+08 2.4041021684529194e+08 2.3797035004213667e+08 2.3535521075872740e+08 2.3259735884190026e+08 2.2975876838955092e+08 2.2693129194104686e+08 2.2426790259490281e+08 2.2195580064986017e+08 2.2029358567515674e+08 2.1969522633733895e+08 2.2076360560793242e+08 2.2437480926905581e+08 2.3185651593628952e+08 2.4531021830511981e+08 2.6828058284698775e+08 8.5753726700384751e+07 +6.9811270423473859e+00 4.4722024525059986e+08 4.4717767024345672e+08 4.4710616007079816e+08 4.4701384697211123e+08 4.4692458493966025e+08 4.4687463492283839e+08 4.4687976090383554e+08 4.4691279735849130e+08 4.4694653340697044e+08 4.4697573720502132e+08 4.4700385636395645e+08 4.4703143271707243e+08 4.4705789584463739e+08 4.4708313714211708e+08 4.4710733978507471e+08 4.4713050500970376e+08 4.4715269419962102e+08 4.4717415184884566e+08 4.4719519877527565e+08 4.4721612578090590e+08 4.4723722592724454e+08 4.4725865544015568e+08 4.4727968288261944e+08 4.4729882107999927e+08 4.4731952439404565e+08 4.4734475067737973e+08 4.4737187511018932e+08 4.4739881649748480e+08 4.4742414408752221e+08 4.4744591391739094e+08 4.4746123367849392e+08 4.4746586451439029e+08 4.4745372681222582e+08 4.4741627181554121e+08 4.4734170440907729e+08 4.4721394085375822e+08 4.4701140421856654e+08 4.4670555800646037e+08 4.4625932244687676e+08 4.4562530528309679e+08 4.4466683759910923e+08 4.4333263999991763e+08 4.4151471561601144e+08 4.3908947738604754e+08 4.3592342214516646e+08 4.3188340900325137e+08 4.2685192394868869e+08 4.2074631866741854e+08 4.1353958677065015e+08 4.0527493413642770e+08 3.9607175010945451e+08 3.8613310329505354e+08 3.7572885129271859e+08 3.6513424408673501e+08 3.5461954601733404e+08 3.4442905494421864e+08 3.3474878852087241e+08 3.2570911307080746e+08 3.1738071408046633e+08 3.0980098128696746e+08 3.0296008312957853e+08 2.9684159184610915e+08 2.9139909862822664e+08 2.8660141718792111e+08 2.8239559634049344e+08 2.7873250017455810e+08 2.7557473339851159e+08 2.7287149668266761e+08 2.7057184404537821e+08 2.6864099240775669e+08 2.6702761627283439e+08 2.6570080327442977e+08 2.6462003540977940e+08 2.6375384424717185e+08 2.6305522740013805e+08 2.6247638810915074e+08 2.6198639353046590e+08 2.6155308842621952e+08 2.6114060925809389e+08 2.6084754921755904e+08 2.6055126112784022e+08 2.6024878008041209e+08 2.5993190004058823e+08 2.5960498740404102e+08 2.5925824062302285e+08 2.5890541028300089e+08 2.5851198589870557e+08 2.5809094472442392e+08 2.5763454074779114e+08 2.5713672535448757e+08 2.5659014837114340e+08 2.5598652971801344e+08 2.5531355808156192e+08 2.5457475261972654e+08 2.5373914376955715e+08 2.5280229144493559e+08 2.5175060326589492e+08 2.5056945152307650e+08 2.4924375138550073e+08 2.4775837197234514e+08 2.4609617943374425e+08 2.4426151497954381e+08 2.4221933943165886e+08 2.3997791974720439e+08 2.3754244041530082e+08 2.3493200376906797e+08 2.3217911110774612e+08 2.2934562508984262e+08 2.2652323390482995e+08 2.2386463154443726e+08 2.2155668733536604e+08 2.1989746149128962e+08 2.1930017908782312e+08 2.2036663744187215e+08 2.2397134736955893e+08 2.3143960051572940e+08 2.4486911196575764e+08 2.6779816873081249e+08 8.5510774656749219e+07 +6.9860953651216438e+00 4.4700014721757579e+08 4.4695758731073481e+08 4.4688610379756689e+08 4.4679381803176403e+08 4.4670457171374983e+08 4.4665460519350940e+08 4.4665967522151911e+08 4.4669263029928774e+08 4.4672627030483806e+08 4.4675536244736934e+08 4.4678334904300654e+08 4.4681076794723487e+08 4.4683704468544394e+08 4.4686206554057270e+08 4.4688600761288095e+08 4.4690886522750407e+08 4.4693069132838047e+08 4.4695172022633022e+08 4.4697226070909381e+08 4.4699258954587954e+08 4.4701298336504126e+08 4.4703357908033079e+08 4.4705362035534787e+08 4.4707157774320716e+08 4.4709084942717457e+08 4.4711436122811568e+08 4.4713946310021120e+08 4.4716403081386322e+08 4.4718657812258101e+08 4.4720509694198203e+08 4.4721662233769399e+08 4.4721683393345082e+08 4.4719956148524749e+08 4.4715615668362278e+08 4.4707471671210992e+08 4.4693904368477809e+08 4.4672744298761034e+08 4.4641126151032972e+08 4.4595331068782210e+08 4.4530610681945407e+08 4.4433176095933634e+08 4.4297990001844859e+08 4.4114260009753358e+08 4.3869646637584698e+08 4.3550833560368162e+08 4.3144557368109733e+08 4.2639134026314914e+08 4.2026379803321195e+08 4.1303682275622779e+08 4.0475447819478226e+08 3.9553687745169866e+08 3.8558754234795630e+08 3.7517644293124563e+08 3.6457866286424261e+08 3.5406402527861083e+08 3.4387619976569760e+08 3.3420052402303427e+08 3.2516670986408943e+08 3.1684489032943457e+08 3.0927199643428457e+08 3.0243788740528154e+08 2.9632589683274770e+08 2.9088949535376769e+08 2.8609739003838706e+08 2.8189660675757718e+08 2.7823800770785010e+08 2.7508419197405452e+08 2.7238440151651204e+08 2.7008773963875920e+08 2.6815944918517610e+08 2.6654827168134058e+08 2.6522331800452155e+08 2.6414411788590857e+08 2.6327923081301174e+08 2.6258171056543922e+08 2.6200382330260369e+08 2.6151466454215249e+08 2.6108211716970387e+08 2.6067037218090561e+08 2.6037783789879844e+08 2.6008208269609869e+08 2.5978014624919844e+08 2.5946383694968051e+08 2.5913751318856063e+08 2.5879139194818607e+08 2.5843919441426545e+08 2.5804647869970900e+08 2.5762619592397547e+08 2.5717061402205145e+08 2.5667369527160090e+08 2.5612810273432007e+08 2.5552557124049705e+08 2.5485381256220442e+08 2.5411633496993962e+08 2.5328223102596638e+08 2.5234706591515750e+08 2.5129727173333541e+08 2.5011824711128241e+08 2.4879493438138318e+08 2.4731222990890688e+08 2.4565303158139637e+08 2.4382166841289049e+08 2.4178317044228303e+08 2.3954578711457968e+08 2.3711469358383918e+08 2.3450895778464946e+08 2.3176102249126226e+08 2.2893263896462396e+08 2.2611533110327137e+08 2.2346151391901049e+08 2.2115772586309403e+08 2.1950148801157215e+08 2.1890528212751794e+08 2.1996982029449698e+08 2.2356803896053180e+08 2.3102284370468768e+08 2.4442817343374148e+08 2.6731593815480199e+08 8.5268383326852053e+07 +6.9910636878959016e+00 4.4677811075754070e+08 4.4673556363611448e+08 4.4666410805911154e+08 4.4657184982721817e+08 4.4648261978510463e+08 4.4643263712495118e+08 4.4643765125963932e+08 4.4647052493011022e+08 4.4650406890219718e+08 4.4653304945830315e+08 4.4656090360790706e+08 4.4658816523238921e+08 4.4661425581839502e+08 4.4663905654630262e+08 4.4666273845031565e+08 4.4668528896134669e+08 4.4670675259917587e+08 4.4672735351326132e+08 4.4674738848355460e+08 4.4676712027425939e+08 4.4678680911399752e+08 4.4680657264442229e+08 4.4682562968740165e+08 4.4684240862200487e+08 4.4686025155442953e+08 4.4688205232873100e+08 4.4690513574715519e+08 4.4692733465622693e+08 4.4694710745093840e+08 4.4696238208980238e+08 4.4697012120551729e+08 4.4696592313044983e+08 4.4694352725984144e+08 4.4689418605323124e+08 4.4680588937023324e+08 4.4666232562459296e+08 4.4644168303885067e+08 4.4611519249395460e+08 4.4564555732399046e+08 4.4498520316551614e+08 4.4399502536892474e+08 4.4262555580353576e+08 4.4076894467874813e+08 4.3830199044112939e+08 4.3509187050745320e+08 4.3100645782917422e+08 4.2592958525517708e+08 4.1978022504888505e+08 4.1253313265101612e+08 4.0423322623979366e+08 3.9500133850296539e+08 3.8504144014352065e+08 3.7462360977268034e+08 3.6402276172967458e+08 3.5350827621855873e+08 3.4332319413470900e+08 3.3365217385537559e+08 3.2462427403140897e+08 3.1630907693639100e+08 3.0874305661661452e+08 3.0191576465549517e+08 2.9581029736755466e+08 2.9038000590952694e+08 2.8559349160336727e+08 2.8139775802640069e+08 2.7774366598408377e+08 2.7459380935103601e+08 2.7189747164913589e+08 2.6960380569282281e+08 2.6767808045050207e+08 2.6606910459175229e+08 2.6474601241046658e+08 2.6366838149480116e+08 2.6280479940053010e+08 2.6210837620676494e+08 2.6153144109546632e+08 2.6104311808298552e+08 2.6061132827133983e+08 2.6020031722436294e+08 2.5990830850761697e+08 2.5961308598902124e+08 2.5931169393210065e+08 2.5899595515137392e+08 2.5867022003636527e+08 2.5832472408830720e+08 2.5797315912858212e+08 2.5758115180859214e+08 2.5716162713609713e+08 2.5670686698949763e+08 2.5621084453334209e+08 2.5566623605972627e+08 2.5506479130285466e+08 2.5439424510710368e+08 2.5365809488327989e+08 2.5282549526126471e+08 2.5189201670977822e+08 2.5084411579037386e+08 2.4966721746413597e+08 2.4834629121598756e+08 2.4686626064739498e+08 2.4521005536520752e+08 2.4338199221645224e+08 2.4134717039771631e+08 2.3911382186241490e+08 2.3668711243268427e+08 2.3408607565905634e+08 2.3134309581192264e+08 2.2851981279949969e+08 2.2570758628736153e+08 2.2305855243771523e+08 2.2075891892419189e+08 2.1910566790656698e+08 2.1851053811985296e+08 2.1957315684269923e+08 2.2316488676210406e+08 2.3060624831447721e+08 2.4398740568355259e+08 2.6683389437151626e+08 8.5026552019709870e+07 +6.9960320106701595e+00 4.4655413344721788e+08 4.4651160911848253e+08 4.4644017897042239e+08 4.4634795015718907e+08 4.4625873693402112e+08 4.4620873849388427e+08 4.4621369680833703e+08 4.4624648904250282e+08 4.4627993699302542e+08 4.4630880603225553e+08 4.4633652785434783e+08 4.4636363236987382e+08 4.4638953704222089e+08 4.4641411795980775e+08 4.4643754010071439e+08 4.4645978401684242e+08 4.4648088582065666e+08 4.4650105952087927e+08 4.4652058991355103e+08 4.4653972578494465e+08 4.4655871099809176e+08 4.4657764396238858e+08 4.4659571871496093e+08 4.4661132156060261e+08 4.4662773862944293e+08 4.4664783184412026e+08 4.4666890092927295e+08 4.4668873591822922e+08 4.4670573998555243e+08 4.4671777729421675e+08 4.4672173823866761e+08 4.4671314008930665e+08 4.4668563215213037e+08 4.4663036797506887e+08 4.4653523047445583e+08 4.4638379480798233e+08 4.4615413255513394e+08 4.4581735919276851e+08 4.4533607064535052e+08 4.4466260266789162e+08 4.4365663923352718e+08 4.4226961581549370e+08 4.4039375786314034e+08 4.3790605811040270e+08 4.3467403538366061e+08 4.3056606993496710e+08 4.2546666732638860e+08 4.1929560797378415e+08 4.1202852450902796e+08 4.0371118605985135e+08 3.9446514072710621e+08 3.8449480377901185e+08 3.7407035851917410e+08 3.6346654697988707e+08 3.5295230473855484e+08 3.4277004357870018e+08 3.3310374320215666e+08 3.2408181045062965e+08 3.1577327850990713e+08 3.0821416620871770e+08 3.0139371905300903e+08 2.9529479745105398e+08 2.8987063414794505e+08 2.8508972561022270e+08 2.8089905376681548e+08 2.7724947853271168e+08 2.7410358898224711e+08 2.7141071047003144e+08 2.6912004554482460e+08 2.6719688949767852e+08 2.6559011826352245e+08 2.6426888972421625e+08 2.6319282944763154e+08 2.6233055320423958e+08 2.6163522750706166e+08 2.6105924466184616e+08 2.6057175732018161e+08 2.6014072489262456e+08 2.5973044754444343e+08 2.5943896419662362e+08 2.5914427415551996e+08 2.5884342627443984e+08 2.5852825778705254e+08 2.5820311108518171e+08 2.5785824017679185e+08 2.5750730755551213e+08 2.5711600834938693e+08 2.5669724148039013e+08 2.5624330276359290e+08 2.5574817624729055e+08 2.5520455144831598e+08 2.5460419299900469e+08 2.5393485880169982e+08 2.5320003543637002e+08 2.5236893954220918e+08 2.5143714688391000e+08 2.5039113847964042e+08 2.4921636560992476e+08 2.4789782490176144e+08 2.4642046718172309e+08 2.4476725375942618e+08 2.4294248934241185e+08 2.4091134222531158e+08 2.3868202689077616e+08 2.3625969983310652e+08 2.3366336023136428e+08 2.3092533387634730e+08 2.2810714936641601e+08 2.2530000219522792e+08 2.2265574980622974e+08 2.2036026919631940e+08 2.1871000383426505e+08 2.1811594971544343e+08 2.1917664974947631e+08 2.2276189348139277e+08 2.3018981714191639e+08 2.4354681167435420e+08 2.6635204061756119e+08 8.4785280041964471e+07 +7.0010003334444173e+00 4.4632824158877951e+08 4.4628573070350641e+08 4.4621432591347420e+08 4.4612212724653250e+08 4.4603293095937610e+08 4.4598291706938344e+08 4.4598781965227181e+08 4.4602053042567754e+08 4.4605388236787397e+08 4.4608263996075213e+08 4.4611022957532376e+08 4.4613717715401739e+08 4.4616289615313512e+08 4.4618725757881159e+08 4.4621042036372346e+08 4.4623235819570631e+08 4.4625309879699504e+08 4.4627284605703413e+08 4.4629187281032878e+08 4.4631041389312935e+08 4.4632869683750141e+08 4.4634680085967529e+08 4.4636389527087551e+08 4.4637832439968026e+08 4.4639331850200874e+08 4.4641170763568532e+08 4.4643076652122122e+08 4.4644824249025846e+08 4.4646248363366902e+08 4.4647129048361319e+08 4.4647148138927209e+08 4.4645849278908139e+08 4.4642588417141879e+08 4.4636471049427235e+08 4.4626274810926080e+08 4.4610345936238068e+08 4.4586479971230322e+08 4.4551776983348888e+08 4.4502485893309754e+08 4.4433831366281098e+08 4.4331661094882560e+08 4.4191208850249410e+08 4.4001704814081860e+08 4.3750867789769435e+08 4.3425483874274957e+08 4.3012441846904236e+08 4.2500259485947692e+08 4.1880995504636723e+08 4.1152300636386907e+08 4.0318836542004859e+08 3.9392829156579465e+08 3.8394764032815933e+08 3.7351669584820372e+08 3.6291002488911998e+08 3.5239611671538448e+08 3.4221675360087597e+08 3.3255523722531414e+08 3.2353932397788644e+08 3.1523749963714814e+08 3.0768532956495833e+08 3.0087175475143355e+08 2.9477940106478685e+08 2.8936138390381205e+08 2.8458609576805091e+08 2.8040049758166337e+08 2.7675544886619073e+08 2.7361353430411571e+08 2.7092412135219544e+08 2.6863646251511145e+08 2.6671587960435483e+08 2.6511131593942985e+08 2.6379195316120818e+08 2.6271746493888685e+08 2.6185649540340626e+08 2.6116226763356626e+08 2.6058723715996516e+08 2.6010058540473551e+08 2.5967031017902273e+08 2.5926076628165731e+08 2.5896980810250691e+08 2.5867565032928148e+08 2.5837534640612605e+08 2.5806074798264250e+08 2.5773618945677397e+08 2.5739194333141664e+08 2.5704164280830473e+08 2.5665105143080604e+08 2.5623304206021529e+08 2.5577992444292974e+08 2.5528569350582045e+08 2.5474305198580429e+08 2.5414377940719369e+08 2.5347565671650890e+08 2.5274215969038761e+08 2.5191256692044315e+08 2.5098245947801757e+08 2.4993834282858032e+08 2.4876569456194955e+08 2.4744953843600613e+08 2.4597485249157679e+08 2.4432462972362226e+08 2.4250316272817764e+08 2.4047568883795711e+08 2.3825040508560112e+08 2.3583245864134714e+08 2.3324081432694730e+08 2.3050773947629032e+08 2.2769465142330956e+08 2.2489258155080330e+08 2.2225310871661925e+08 2.1996177934367186e+08 2.1831449843885353e+08 2.1772151955124664e+08 2.1878030166507351e+08 2.2235906181171346e+08 2.2977355297063780e+08 2.4310639435099468e+08 2.6587038011349773e+08 8.4544566697905809e+07 +7.0059686562186752e+00 4.4610042783012652e+08 4.4605793334452742e+08 4.4598655638217032e+08 4.4589438888028717e+08 4.4580520966808319e+08 4.4575518061824781e+08 4.4576002757047671e+08 4.4579265686387581e+08 4.4582591281350690e+08 4.4585455903160888e+08 4.4588201655930322e+08 4.4590880737476188e+08 4.4593434094266719e+08 4.4595848319712400e+08 4.4598138703456157e+08 4.4600301929609168e+08 4.4602339932900524e+08 4.4604272092558455e+08 4.4606124498139054e+08 4.4607919241103917e+08 4.4609677444876087e+08 4.4611405115835726e+08 4.4613016718410283e+08 4.4614342497571474e+08 4.4615699901852733e+08 4.4617368756034112e+08 4.4619074039322037e+08 4.4620586225731498e+08 4.4621734629823339e+08 4.4622292958130407e+08 4.4621935860443878e+08 4.4620198920366806e+08 4.4616429132246929e+08 4.4609722165009660e+08 4.4598845035208082e+08 4.4582132740918088e+08 4.4557369267776567e+08 4.4521643263501918e+08 4.4471193045970422e+08 4.4401234447736853e+08 4.4297494889818519e+08 4.4155298230081522e+08 4.3963882398900837e+08 4.3710985830310750e+08 4.3383428907976222e+08 4.2968151188388801e+08 4.2453737621742862e+08 4.1832327448426598e+08 4.1101658622651017e+08 4.0266477206247395e+08 3.9339079843684119e+08 3.8339995683994949e+08 3.7296262841444141e+08 3.6235320170653903e+08 3.5183971800421995e+08 3.4166332968301278e+08 3.3200666106441140e+08 3.2299681944812536e+08 3.1470174488557065e+08 3.0715655102001220e+08 3.0034987588550037e+08 2.9426411217202455e+08 2.8885225899339467e+08 2.8408260576791364e+08 2.7990209305598450e+08 2.7626158047944421e+08 2.7312364873672086e+08 2.7043770765217251e+08 2.6815305990741298e+08 2.6623505403171691e+08 2.6463270084649763e+08 2.6331520592152748e+08 2.6224229114724937e+08 2.6138262916076031e+08 2.6068949973738927e+08 2.6011542173177427e+08 2.5962960547250628e+08 2.5920008726046643e+08 2.5879127656075031e+08 2.5850084334688511e+08 2.5820721762733978e+08 2.5790745744106302e+08 2.5759342884813237e+08 2.5726945825758517e+08 2.5692583665430880e+08 2.5657616798476052e+08 2.5618628414624438e+08 2.5576903196369141e+08 2.5531673510983002e+08 2.5482339938574165e+08 2.5428174074244952e+08 2.5368355359053120e+08 2.5301664190643629e+08 2.5228447069181225e+08 2.5145638043128911e+08 2.5052795751657107e+08 2.4948573184952143e+08 2.4831520731835958e+08 2.4700143480103749e+08 2.4552941954154801e+08 2.4388218620267990e+08 2.4206401529642630e+08 2.4004021313390693e+08 2.3781895931845191e+08 2.3540539169995692e+08 2.3281844075656277e+08 2.3009031539020941e+08 2.2728232171432671e+08 2.2448532706466416e+08 2.2185063184738383e+08 2.1956345201748687e+08 2.1791915435147256e+08 2.1732725025165531e+08 2.1838411522635788e+08 2.2195639443285146e+08 2.2935745856969270e+08 2.4266615664337882e+08 2.6538891606339261e+08 8.4304411289494276e+07 +7.0109369789929330e+00 4.4587070600438774e+08 4.4582822959213263e+08 4.4575687931434256e+08 4.4566474245469278e+08 4.4557558085653496e+08 4.4552553690774775e+08 4.4553032833684522e+08 4.4556287613839942e+08 4.4559603611333162e+08 4.4562457102811223e+08 4.4565189659184194e+08 4.4567853081878489e+08 4.4570387919959813e+08 4.4572780260420489e+08 4.4575044790542251e+08 4.4577177511223727e+08 4.4579179521379757e+08 4.4581069192636877e+08 4.4582871423034096e+08 4.4584606914563459e+08 4.4586295164445430e+08 4.4587940267694515e+08 4.4589454227860129e+08 4.4590663112066090e+08 4.4591878801992935e+08 4.4593377947098029e+08 4.4594883041068006e+08 4.4596160310033989e+08 4.4597033587780291e+08 4.4597270250566238e+08 4.4596537782565367e+08 4.4594363730167598e+08 4.4590086160423195e+08 4.4582790947534800e+08 4.4571234527433813e+08 4.4553740706179661e+08 4.4528081961272675e+08 4.4491335580794579e+08 4.4439729348830128e+08 4.4368470342863536e+08 4.4263166145558000e+08 4.4119230563467950e+08 4.3925909387181842e+08 4.3670960781136984e+08 4.3341239487389559e+08 4.2923735861516476e+08 4.2407101974475044e+08 4.1783557448514032e+08 4.1050927208553857e+08 4.0214041370634592e+08 3.9285266873373389e+08 3.8285176033982193e+08 3.7240816284704977e+08 3.6179608365864897e+08 3.5128311443547994e+08 3.4110977728375924e+08 3.3145801983811021e+08 3.2245430167528915e+08 3.1416601880167240e+08 3.0662783488904721e+08 2.9982808657054436e+08 2.9374893471642900e+08 2.8834326321470016e+08 2.8357925928373325e+08 2.7940384375766206e+08 2.7576787685137224e+08 2.7263393568255782e+08 2.6995147270987737e+08 2.6766984100998899e+08 2.6575441602530199e+08 2.6415427619563839e+08 2.6283865118892318e+08 2.6176731123582861e+08 2.6090895762337434e+08 2.6021692695390537e+08 2.5964380150437880e+08 2.5915882064318174e+08 2.5873005925098065e+08 2.5832198149087986e+08 2.5803207303493112e+08 2.5773897915224364e+08 2.5743976247757861e+08 2.5712630347861835e+08 2.5680292057821757e+08 2.5645992323229066e+08 2.5611088616750523e+08 2.5572170957334206e+08 2.5530521426384157e+08 2.5485373783198020e+08 2.5436129694841865e+08 2.5382062077330396e+08 2.5322351859679556e+08 2.5255781741119391e+08 2.5182697147139099e+08 2.5100038309643811e+08 2.5007364400967970e+08 2.4903330853975230e+08 2.4786490686238560e+08 2.4655351696432653e+08 2.4508417128138399e+08 2.4343992612626794e+08 2.4162504995522180e+08 2.3960491799691588e+08 2.3738769244617802e+08 2.3497850183682585e+08 2.3239624231766856e+08 2.2967306438208184e+08 2.2687016297028664e+08 2.2407824143377778e+08 2.2144832186400840e+08 2.1916528985527965e+08 2.1752397419027790e+08 2.1693314442739505e+08 2.1798809305678430e+08 2.2155389401172647e+08 2.2894153669462383e+08 2.4222610146708491e+08 2.6490765165562889e+08 8.4064813116382971e+07 +7.0159053017671908e+00 4.4563908582109696e+08 4.4559662464554083e+08 4.4552530181827962e+08 4.4543319572444248e+08 4.4534405229932183e+08 4.4529399370653600e+08 4.4529872972152436e+08 4.4533119602576596e+08 4.4536426004591084e+08 4.4539268373067039e+08 4.4541987745387924e+08 4.4544635526935214e+08 4.4547151870822179e+08 4.4549522358622015e+08 4.4551761076430166e+08 4.4553863343425822e+08 4.4555829424426585e+08 4.4557676685542995e+08 4.4559428835646993e+08 4.4561105190105474e+08 4.4562723623243141e+08 4.4564286322896957e+08 4.4565702837490302e+08 4.4566795066273218e+08 4.4567869334357417e+08 4.4569199121555477e+08 4.4570504443493366e+08 4.4571547289553887e+08 4.4572146026595211e+08 4.4572061717032385e+08 4.4570954698971099e+08 4.4568344504598278e+08 4.4563560300902492e+08 4.4555678199692082e+08 4.4543444094120550e+08 4.4525170642740744e+08 4.4498618866964585e+08 4.4460854755445915e+08 4.4408095627339596e+08 4.4335539882413113e+08 4.4228675698375940e+08 4.4083006691620773e+08 4.3887786623907024e+08 4.3630793489290780e+08 4.3298916458710080e+08 4.2879196708025366e+08 4.2360353376671404e+08 4.1734686322610170e+08 4.1000107190854621e+08 4.0161529804842377e+08 3.9231390982764739e+08 3.8230305782895100e+08 3.7185330575172180e+08 3.6123867694745547e+08 3.5072631181728184e+08 3.4055610183881748e+08 3.3090931864232141e+08 3.2191177545221698e+08 3.1363032591236937e+08 3.0609918546693939e+08 2.9930639090279585e+08 2.9323387262444162e+08 2.8783440034806657e+08 2.8307605997155261e+08 2.7890575323736775e+08 2.7527434144274163e+08 2.7214439852790785e+08 2.6946541984861088e+08 2.6718680909408063e+08 2.6527396881349510e+08 2.6367604518147314e+08 2.6236229213118705e+08 2.6129252835156101e+08 2.6043548392290279e+08 2.5974455240284374e+08 2.5917237958882535e+08 2.5868823402082780e+08 2.5826022924945897e+08 2.5785288416544423e+08 2.5756350025684309e+08 2.5727093799028480e+08 2.5697226459889767e+08 2.5665937495279446e+08 2.5633657949421066e+08 2.5599420613645840e+08 2.5564580042347869e+08 2.5525733077441052e+08 2.5484159201768360e+08 2.5439093566095179e+08 2.5389938923975107e+08 2.5335969511755627e+08 2.5276367745841965e+08 2.5209918625522932e+08 2.5136966504495549e+08 2.5054457792122915e+08 2.4961952195189387e+08 2.4858107588145566e+08 2.4741479616230667e+08 2.4610578787828737e+08 2.4463911064588833e+08 2.4299785240979815e+08 2.4118626959794340e+08 2.3916980629611379e+08 2.3695660731179532e+08 2.3455179186606684e+08 2.3197422179309240e+08 2.2925598920247617e+08 2.2645817790772775e+08 2.2367132734136516e+08 2.2104618141798598e+08 2.1876729548185337e+08 2.1712896056005740e+08 2.1653920467624226e+08 2.1759223776688874e+08 2.2115156320120242e+08 2.2852579008695093e+08 2.4178623172256014e+08 2.6442659006250766e+08 8.3825771475939780e+07 +7.0208736245414487e+00 4.4540556820276219e+08 4.4536312534518939e+08 4.4529183095678920e+08 4.4519975686760348e+08 4.4511063175584835e+08 4.4506055878708631e+08 4.4506523949063951e+08 4.4509762429862773e+08 4.4513059238685316e+08 4.4515890491481906e+08 4.4518596692230529e+08 4.4521228850450104e+08 4.4523726724859536e+08 4.4526075392519486e+08 4.4528288339565724e+08 4.4530360204918057e+08 4.4532290420945281e+08 4.4534095350449324e+08 4.4535797515527660e+08 4.4537414847640902e+08 4.4538963601748943e+08 4.4540444062458903e+08 4.4541763328935730e+08 4.4542739142570341e+08 4.4543672282231921e+08 4.4544833063775265e+08 4.4545939032242244e+08 4.4546747951370281e+08 4.4547072735046399e+08 4.4546668148368025e+08 4.4545187402769274e+08 4.4542142039358979e+08 4.4536852352425545e+08 4.4528384723546457e+08 4.4515474541043538e+08 4.4496423360574669e+08 4.4468980799384081e+08 4.4430201606904715e+08 4.4376292706018466e+08 4.4302443896087766e+08 4.4194024383415329e+08 4.4046627454564041e+08 4.3849514952965271e+08 4.3590484800339657e+08 4.3256460666624653e+08 4.2834534567906600e+08 4.2313492658877409e+08 4.1685714886234099e+08 4.0949199364048034e+08 4.0108943276198024e+08 3.9177452906480163e+08 3.8175385628504986e+08 3.7129806371071780e+08 3.6068098775137508e+08 3.5016931593339819e+08 3.4000230876196432e+08 3.3036056255112863e+08 3.2136924555015624e+08 3.1309467072285324e+08 3.0557060702961510e+08 2.9878479295938998e+08 2.9271892980288303e+08 2.8732567415549147e+08 2.8257301146965683e+08 2.7840782502833450e+08 2.7478097769797772e+08 2.7165504064237791e+08 2.6897955237530905e+08 2.6670396741471925e+08 2.6479371560962588e+08 2.6319801098304284e+08 2.6188613190031970e+08 2.6081794562576750e+08 2.5996221117490977e+08 2.5927237918815371e+08 2.5870115907986537e+08 2.5821784869428095e+08 2.5779060033867586e+08 2.5738398766250479e+08 2.5709512808690292e+08 2.5680309721224102e+08 2.5650496687186420e+08 2.5619264633456248e+08 2.5587043806495738e+08 2.5552868842246428e+08 2.5518091380397633e+08 2.5479315079615080e+08 2.5437816826732156e+08 2.5392833163341966e+08 2.5343767929049814e+08 2.5289896679966506e+08 2.5230403319227928e+08 2.5164075144781366e+08 2.5091255441250768e+08 2.5008896789650953e+08 2.4916559432270500e+08 2.4812903684180182e+08 2.4696487817111525e+08 2.4565825048053494e+08 2.4419424055529192e+08 2.4255596795380169e+08 2.4074767710365099e+08 2.3873488088649303e+08 2.3652570674363628e+08 2.3412526458730108e+08 2.3155238195166844e+08 2.2883909258773580e+08 2.2604636922981006e+08 2.2326458745749244e+08 2.2064421314811382e+08 2.1836947150818858e+08 2.1673411605266324e+08 2.1614543358309633e+08 2.1719655195403710e+08 2.2074940464093477e+08 2.2811022147445929e+08 2.4134655029610807e+08 2.6394573444007340e+08 8.3587285663269594e+07 +7.0258419473157065e+00 4.4517016368318874e+08 4.4512773934748322e+08 4.4505647492049265e+08 4.4496443364555597e+08 4.4487532698613954e+08 4.4482523991800368e+08 4.4482986540925664e+08 4.4486216872613859e+08 4.4489504090694672e+08 4.4492324235293531e+08 4.4495017277094191e+08 4.4497633829951620e+08 4.4500113259695423e+08 4.4502440139911377e+08 4.4504627357872564e+08 4.4506668873895520e+08 4.4508563289378107e+08 4.4510325966177028e+08 4.4511978241819572e+08 4.4513536666731703e+08 4.4515015879916316e+08 4.4516414266854775e+08 4.4517636483316380e+08 4.4518496122832650e+08 4.4519288428472853e+08 4.4520280557681847e+08 4.4521187592458683e+08 4.4521763082187521e+08 4.4521814501519626e+08 4.4521090334855598e+08 4.4519236686481309e+08 4.4515757129587537e+08 4.4509963113074732e+08 4.4500911320441198e+08 4.4487326673316467e+08 4.4467499668911928e+08 4.4439168572280723e+08 4.4399376953688329e+08 4.4344321408462191e+08 4.4269183212672913e+08 4.4159213034742546e+08 4.4010093691142130e+08 4.3811095216579205e+08 4.3550035558345819e+08 4.3213872954135334e+08 4.2789750279368860e+08 4.2266520649775732e+08 4.1636643952980113e+08 4.0898204520532489e+08 4.0056282549769145e+08 3.9123453376865119e+08 3.8120416266102475e+08 3.7074244328165495e+08 3.6012302222509950e+08 3.4961213254560518e+08 3.3944840344363695e+08 3.2981175661717081e+08 3.2082671671997744e+08 3.1255905771899396e+08 3.0504210383259720e+08 2.9826329679858351e+08 2.9220411014073431e+08 2.8681708838077790e+08 2.8207011739892918e+08 2.7791006264658970e+08 2.7428778904454589e+08 2.7116586537859839e+08 2.6849387358059239e+08 2.6622131921099097e+08 2.6431365961021370e+08 2.6272017676303780e+08 2.6141017363234130e+08 2.6034356617367664e+08 2.5948914247924659e+08 2.5880041039843294e+08 2.5823014305729285e+08 2.5774766773611093e+08 2.5732117558587566e+08 2.5691529504403880e+08 2.5662695958389729e+08 2.5633545987376553e+08 2.5603787234868002e+08 2.5572612067185482e+08 2.5540449933510855e+08 2.5506337313054004e+08 2.5471622934528950e+08 2.5432917267030767e+08 2.5391494603944790e+08 2.5346592877056205e+08 2.5297617011591145e+08 2.5243843882855496e+08 2.5184458880031276e+08 2.5118251598279059e+08 2.5045564255960888e+08 2.4963355599747500e+08 2.4871186408655778e+08 2.4767719437291104e+08 2.4651515582749012e+08 2.4521090769402552e+08 2.4374956391482964e+08 2.4211427564416870e+08 2.4030927533664039e+08 2.3830014460839671e+08 2.3609499355569220e+08 2.3369892278600779e+08 2.3113072554852521e+08 2.2842237726064622e+08 2.2563473962604338e+08 2.2285802443836054e+08 2.2024241967941159e+08 2.1797182053260136e+08 2.1633944324652305e+08 2.1575183371937880e+08 2.1680103820222318e+08 2.2034742095757005e+08 2.2769483357120287e+08 2.4090706005906111e+08 2.6346508792893046e+08 8.3349354971236378e+07 +7.0308102700899644e+00 4.4493288245220506e+08 4.4489047969255906e+08 4.4481924225709796e+08 4.4472723323745614e+08 4.4463814576115358e+08 4.4458804486403424e+08 4.4459261523899621e+08 4.4462483707198125e+08 4.4465761337301707e+08 4.4468570381206340e+08 4.4471250276846474e+08 4.4473851242417651e+08 4.4476312252542579e+08 4.4478617378187054e+08 4.4480778908972949e+08 4.4482790128088003e+08 4.4484648807810396e+08 4.4486369311018807e+08 4.4487971793179047e+08 4.4489471426405907e+08 4.4490881237271398e+08 4.4492197716164678e+08 4.4493323081406784e+08 4.4494066788560253e+08 4.4494718555360597e+08 4.4495542386693203e+08 4.4496250908846730e+08 4.4496593468093812e+08 4.4496372113858187e+08 4.4495329066273129e+08 4.4493103342169660e+08 4.4489190569905514e+08 4.4482893380273706e+08 4.4473258791208833e+08 4.4459001295377272e+08 4.4438400376262313e+08 4.4409182998574609e+08 4.4368381613473743e+08 4.4312182557344764e+08 4.4235758659840143e+08 4.4124242485313880e+08 4.3973406238875753e+08 4.3772528255836779e+08 4.3509446605954510e+08 4.3171154162651753e+08 4.2744844678780764e+08 4.2219438176116598e+08 4.1587474334318340e+08 4.0847123450397480e+08 4.0003548388324970e+08 3.9069393123854196e+08 3.8065398388657981e+08 3.7018645099806178e+08 3.5956478649975264e+08 3.4905476739169347e+08 3.3889439125218534e+08 3.2926290587113291e+08 3.2028419369073486e+08 3.1202349136591852e+08 3.0451368011205065e+08 2.9774190645917773e+08 2.9168941750814915e+08 2.8630864675012165e+08 2.8156738136234659e+08 2.7741246959084880e+08 2.7379477889305198e+08 2.7067687607276535e+08 2.6800838673845652e+08 2.6573886770538568e+08 2.6383380399606320e+08 2.6224254566858312e+08 2.6093442044762152e+08 2.5986939309524056e+08 2.5901628092016506e+08 2.5832864910583314e+08 2.5775933458538339e+08 2.5727769420384693e+08 2.5685195804286525e+08 2.5644680935730445e+08 2.5615899779142842e+08 2.5586802901446578e+08 2.5557098406554121e+08 2.5525980099736840e+08 2.5493876633316684e+08 2.5459826328552827e+08 2.5425175006771225e+08 2.5386539941262683e+08 2.5345192834467298e+08 2.5300373007813746e+08 2.5251486471618864e+08 2.5197811419781691e+08 2.5138534726906550e+08 2.5072448283891758e+08 2.4999893245622221e+08 2.4917834518467930e+08 2.4825833419320512e+08 2.4722555141206977e+08 2.4606563205456513e+08 2.4476376242655551e+08 2.4330508361513105e+08 2.4167277835212028e+08 2.3987106714647269e+08 2.3786560028772125e+08 2.3566447054783523e+08 2.3327276923366049e+08 2.3070925532436174e+08 2.2800584592994353e+08 2.2522329177233553e+08 2.2245164092697787e+08 2.1984080362373903e+08 2.1757434513991842e+08 2.1594494470735145e+08 2.1535840764370111e+08 2.1640569908259735e+08 2.1994561476416352e+08 2.2727962907727933e+08 2.4046776386844647e+08 2.6298465365341911e+08 8.3111978690484866e+07 +7.0357785928642222e+00 4.4469373560112739e+08 4.4465134933781165e+08 4.4458013975698775e+08 4.4448816303244776e+08 4.4439909585857326e+08 4.4434898138374579e+08 4.4435349673999935e+08 4.4438563709606987e+08 4.4441831754690653e+08 4.4444629705655962e+08 4.4447296467925382e+08 4.4449881864520633e+08 4.4452324480163461e+08 4.4454607884210503e+08 4.4456743769948363e+08 4.4458724744896936e+08 4.4460547753876233e+08 4.4462226162923723e+08 4.4463778947855341e+08 4.4465219905319101e+08 4.4466560452907819e+08 4.4467795190079838e+08 4.4468823903447366e+08 4.4469451920739830e+08 4.4469963444829452e+08 4.4470619333713371e+08 4.4471129765561724e+08 4.4471239894692320e+08 4.4470746359322214e+08 4.4469385131828982e+08 4.4466788161226344e+08 4.4462443154206568e+08 4.4455643950910830e+08 4.4445427935870951e+08 4.4430499210956144e+08 4.4409126290299964e+08 4.4379024890349680e+08 4.4337216403098851e+08 4.4279876974381727e+08 4.4202171064306557e+08 4.4089113566966498e+08 4.3936565934107441e+08 4.3733814910429549e+08 4.3468718784173900e+08 4.3128305131846780e+08 4.2699818600820166e+08 4.2172246062639195e+08 4.1538206839595449e+08 4.0795956941600728e+08 3.9950741552300030e+08 3.9015272875070965e+08 3.8010332686684477e+08 3.6963009337054271e+08 3.5900628668288380e+08 3.4849722618640739e+08 3.3834027753351635e+08 3.2871401532197076e+08 3.1974168117087233e+08 3.1148797610850936e+08 3.0398534008469969e+08 2.9722062596153718e+08 2.9117485575676048e+08 2.8580035297167271e+08 2.8106480694561386e+08 2.7691504934286380e+08 2.7330195063698852e+08 2.7018807604416257e+08 2.6752309510663849e+08 2.6525661610451829e+08 2.6335415193171823e+08 2.6176512083044901e+08 2.6045887545043254e+08 2.5939542947414535e+08 2.5854362956599224e+08 2.5785709836811489e+08 2.5728873671242726e+08 2.5680793113919666e+08 2.5638295074603590e+08 2.5597853363327765e+08 2.5569124573726678e+08 2.5540080765884930e+08 2.5510430504326007e+08 2.5479369032830977e+08 2.5447324207269645e+08 2.5413336189686534e+08 2.5378747897695473e+08 2.5340183402406895e+08 2.5298911817924416e+08 2.5254173854683504e+08 2.5205376607587442e+08 2.5151799588577321e+08 2.5092631157023284e+08 2.5026665498004830e+08 2.4954242705753794e+08 2.4872333840335470e+08 2.4780500757684785e+08 2.4677411088117266e+08 2.4561630976090303e+08 2.4431681757116544e+08 2.4286080253218296e+08 2.4123147893422157e+08 2.3943305536886182e+08 2.3743125073629975e+08 2.3523414050573033e+08 2.3284680668750927e+08 2.3028797400641954e+08 2.2758950129079717e+08 2.2481202833047533e+08 2.2204543955267835e+08 2.1943936757966688e+08 2.1717704790192392e+08 2.1555062298748028e+08 2.1496515790197471e+08 2.1601053715299460e+08 2.1954398866026556e+08 2.2686461067956048e+08 2.4002866456658870e+08 2.6250443472185266e+08 8.2875156109462410e+07 +7.0407469156384801e+00 4.4445272345893204e+08 4.4441035350297493e+08 4.4433917580515248e+08 4.4424723097266090e+08 4.4415818504145151e+08 4.4410805722831899e+08 4.4411251767057663e+08 4.4414457655406040e+08 4.4417716118630809e+08 4.4420502984418970e+08 4.4423156626323831e+08 4.4425726472402668e+08 4.4428150718938321e+08 4.4430412434506232e+08 4.4432522717490500e+08 4.4434473501208615e+08 4.4436260904664999e+08 4.4437897299291217e+08 4.4439400483575541e+08 4.4440782881654382e+08 4.4442054305481416e+08 4.4443207467680389e+08 4.4444139729172987e+08 4.4444652299850476e+08 4.4445023878241158e+08 4.4445512181221890e+08 4.4445824946276921e+08 4.4445703147105998e+08 4.4444938024643403e+08 4.4443259320167702e+08 4.4440291934510267e+08 4.4435515675858760e+08 4.4428215621210885e+08 4.4417419553898853e+08 4.4401821223061061e+08 4.4379678218067700e+08 4.4348695058948261e+08 4.4305882138510686e+08 4.4247405480379754e+08 4.4168421251694697e+08 4.4053827110348099e+08 4.3899573611936885e+08 4.3694956018624955e+08 4.3427852932644838e+08 4.3085326699860328e+08 4.2654672878292930e+08 4.2124945132197428e+08 4.1488842276156956e+08 4.0744705779874545e+08 3.9897862799927461e+08 3.8961093355718708e+08 3.7955219848375660e+08 3.6907337688381308e+08 3.5844752885778517e+08 3.4793951462151349e+08 3.3778606761069989e+08 3.2816508995627582e+08 3.1919918384798390e+08 3.1095251637160695e+08 3.0345708794720590e+08 2.9669945930610394e+08 2.9066042871988702e+08 2.8529221073534411e+08 2.8056239771694690e+08 2.7641780536713016e+08 2.7280930765296686e+08 2.6969946859624016e+08 2.6703800192636815e+08 2.6477456759865257e+08 2.6287470656585768e+08 2.6128790536365381e+08 2.5998354172961840e+08 2.5892167837887558e+08 2.5807119146987590e+08 2.5738576122618014e+08 2.5681835247145024e+08 2.5633838156837460e+08 2.5591415671616986e+08 2.5551047088797298e+08 2.5522370643373489e+08 2.5493379881598967e+08 2.5463783828756776e+08 2.5432779166643798e+08 2.5400792955181339e+08 2.5366867195861766e+08 2.5332341906259891e+08 2.5293847948973393e+08 2.5252651852349508e+08 2.5207995715172881e+08 2.5159287716456845e+08 2.5105808685575378e+08 2.5046748465982369e+08 2.4980903535472259e+08 2.4908612930340889e+08 2.4826853858397415e+08 2.4735188715676236e+08 2.4632287568819162e+08 2.4516719184033385e+08 2.4387007600663188e+08 2.4241672352738917e+08 2.4079038023272690e+08 2.3899524282420653e+08 2.3699709875106299e+08 2.3480400620055699e+08 2.3242103789092973e+08 2.2986688430758083e+08 2.2717334602452266e+08 2.2440095194929701e+08 2.2163942293148854e+08 2.1903811413238573e+08 2.1677993137720263e+08 2.1515648062658426e+08 2.1457208702651513e+08 2.1561555495864743e+08 2.1914254523296779e+08 2.2644978105045313e+08 2.3958976498159298e+08 2.6202443422696227e+08 8.2638886514440939e+07 +7.0457152384127379e+00 4.4420985456693858e+08 4.4416750103020251e+08 4.4409635793715340e+08 4.4400444532522279e+08 4.4391542104670376e+08 4.4386528014382952e+08 4.4386968578629476e+08 4.4390166319748223e+08 4.4393415204517430e+08 4.4396190992969328e+08 4.4398831527612901e+08 4.4401385841787028e+08 4.4403791744646835e+08 4.4406031805083966e+08 4.4408116527829611e+08 4.4410037173435795e+08 4.4411789036888325e+08 4.4413383497095329e+08 4.4414837177754623e+08 4.4416161133095700e+08 4.4417363573122305e+08 4.4418435327688867e+08 4.4419271337858951e+08 4.4419668705936164e+08 4.4419900636484444e+08 4.4420221711112487e+08 4.4420337234108365e+08 4.4419984009911549e+08 4.4418947896033186e+08 4.4416952419407117e+08 4.4413615452260035e+08 4.4408408927627194e+08 4.4400609186637264e+08 4.4389234443975371e+08 4.4372968133950198e+08 4.4350056965789348e+08 4.4318194314867193e+08 4.4274379634748203e+08 4.4214768895100236e+08 4.4134510046661615e+08 4.4018383945027167e+08 4.3862430106197077e+08 4.3655952417322481e+08 4.3386849889412063e+08 4.3042219703087771e+08 4.2609408342222363e+08 4.2077536205701756e+08 4.1439381449179691e+08 4.0693370748773336e+08 3.9844912887004739e+08 3.8906855288625205e+08 3.7900060559422892e+08 3.6851630800111282e+08 3.5788851908466232e+08 3.4738163836568773e+08 3.3723176678453922e+08 3.2761613473981714e+08 3.1865670638840294e+08 3.1041711655919194e+08 3.0292892787709576e+08 2.9617841047553051e+08 2.9014614021259660e+08 2.8478422371324205e+08 2.8006015722685373e+08 2.7592074111084396e+08 2.7231685330138463e+08 2.6921105701513237e+08 2.6655311042262730e+08 2.6429272536196139e+08 2.6239547103110179e+08 2.6081090236787495e+08 2.5950842235797197e+08 2.5844814286191210e+08 2.5759896966914064e+08 2.5691464070604724e+08 2.5634818487928650e+08 2.5586904850210646e+08 2.5544557895857030e+08 2.5504262412178934e+08 2.5475638287795368e+08 2.5446700547922418e+08 2.5417158678822404e+08 2.5386210799846250e+08 2.5354283175317809e+08 2.5320419644959259e+08 2.5285957329954076e+08 2.5247533878021580e+08 2.5206413234289274e+08 2.5161838885293499e+08 2.5113220093683019e+08 2.5059839005596212e+08 2.5000886947905585e+08 2.4935162689603356e+08 2.4863004211871532e+08 2.4781394864171997e+08 2.4689897583798420e+08 2.4587184872497371e+08 2.4471828117168763e+08 2.4342354059630433e+08 2.4197284944713357e+08 2.4034948507500127e+08 2.3855763231909364e+08 2.3656314711542499e+08 2.3437407038976699e+08 2.3199546557307506e+08 2.2944598892753923e+08 2.2675738279865444e+08 2.2399006526416087e+08 2.2123359366632342e+08 2.1863704585404116e+08 2.1638299811128938e+08 2.1476252015105247e+08 2.1417919753687215e+08 2.1522075503106335e+08 2.1874128705506673e+08 2.2603514284912899e+08 2.3915106792661127e+08 2.6154465524540228e+08 8.2403169189538121e+07 +7.0506835611869958e+00 4.4396514164829755e+08 4.4392280697481513e+08 4.4385169176422173e+08 4.4375981406285000e+08 4.4367081159177506e+08 4.4362065787270194e+08 4.4362500883953029e+08 4.4365690477280968e+08 4.4368929787142473e+08 4.4371694506336761e+08 4.4374321946923733e+08 4.4376860747891366e+08 4.4379248332687658e+08 4.4381466771461177e+08 4.4383525976678246e+08 4.4385416537597746e+08 4.4387132926774079e+08 4.4388685532856828e+08 4.4390089807148504e+08 4.4391355436834061e+08 4.4392489033469540e+08 4.4393479548244995e+08 4.4394219508377963e+08 4.4394501918460912e+08 4.4394594499922788e+08 4.4394748704779011e+08 4.4394667411697298e+08 4.4394083267064559e+08 4.4392776759099793e+08 4.4390465217040104e+08 4.4386759504150492e+08 4.4381123701575959e+08 4.4372825442130709e+08 4.4360873404178077e+08 4.4343940745174229e+08 4.4320263338824260e+08 4.4287523467704141e+08 4.4242709705919087e+08 4.4181968037443662e+08 4.4100438272747344e+08 4.3982784899388921e+08 4.3825136249474281e+08 4.3616804942101997e+08 4.3345710491045141e+08 4.2998984976310229e+08 4.2564025821825457e+08 4.2030020102058452e+08 4.1389825161815971e+08 4.0641952629607785e+08 3.9791892567112672e+08 3.8852559394348413e+08 3.7844855503216684e+08 3.6795889315957201e+08 3.5732926339962143e+08 3.4682360306407237e+08 3.3667738033340859e+08 3.2706715461643845e+08 3.1811425343738997e+08 3.0988178105583721e+08 3.0240086403225517e+08 2.9565748343288296e+08 2.8963199403127271e+08 2.8427639556000829e+08 2.7955808900854033e+08 2.7542386000471264e+08 2.7182459092512393e+08 2.6872284457080418e+08 2.6606842380433896e+08 2.6381109255243617e+08 2.6191644844418138e+08 2.6033411492622763e+08 2.5903352039274713e+08 2.5797482596016327e+08 2.5712696718519098e+08 2.5644373981817549e+08 2.5587823693847102e+08 2.5539993493575934e+08 2.5497722046308205e+08 2.5457499631957236e+08 2.5428927805137712e+08 2.5400043062702987e+08 2.5370555352044863e+08 2.5339664229529494e+08 2.5307795164421898e+08 2.5273993833317021e+08 2.5239594464711714e+08 2.5201241485002172e+08 2.5160196258743459e+08 2.5115703659549996e+08 2.5067174033141875e+08 2.5013890841902730e+08 2.4955046895416257e+08 2.4889443252253655e+08 2.4817416841334680e+08 2.4735957147684091e+08 2.4644627650974426e+08 2.4542103286947152e+08 2.4426958061907122e+08 2.4297721418911752e+08 2.4152918312341726e+08 2.3990879627433601e+08 2.3812022664583299e+08 2.3612939859760827e+08 2.3394433581612724e+08 2.3157009244916558e+08 2.2902529055111143e+08 2.2634161426715288e+08 2.2357937089598823e+08 2.2082795434617123e+08 2.1823616530355242e+08 2.1598625063660905e+08 2.1436874407436776e+08 2.1378649194001749e+08 2.1482613988937786e+08 2.1834021668706945e+08 2.2562069872107926e+08 2.3871257620092738e+08 2.6106510083859915e+08 8.2168003416739359e+07 +7.0556518839612536e+00 4.4371858981608105e+08 4.4367627637074494e+08 4.4360518818400568e+08 4.4351334486153942e+08 4.4342436439225584e+08 4.4337419815687644e+08 4.4337849457961053e+08 4.4341030902265084e+08 4.4344260640892559e+08 4.4347014298919040e+08 4.4349628658794570e+08 4.4352151965503669e+08 4.4354521258025396e+08 4.4356718108775651e+08 4.4358751839364111e+08 4.4360612369144648e+08 4.4362293350029671e+08 4.4363804182590568e+08 4.4365159148097193e+08 4.4366366569625950e+08 4.4367431463703883e+08 4.4368340907081360e+08 4.4368985018932575e+08 4.4369152716429615e+08 4.4369106248406452e+08 4.4369093943116552e+08 4.4368816261102951e+08 4.4368001702053046e+08 4.4366425398937863e+08 4.4363798499922359e+08 4.4359724879176044e+08 4.4353660789206928e+08 4.4344865181936264e+08 4.4332337231784773e+08 4.4314739857578123e+08 4.4290298141834062e+08 4.4256683326324248e+08 4.4210873165348524e+08 4.4149003725216597e+08 4.4066206752451622e+08 4.3947030800701594e+08 4.3787692873030627e+08 4.3577514427016133e+08 4.3304435572554755e+08 4.2955623352618957e+08 4.2518526144492483e+08 4.1982397638221979e+08 4.1340174215070182e+08 4.0590452201478142e+08 3.9738802591512936e+08 3.8798206390959913e+08 3.7789605360707885e+08 3.6740113877313459e+08 3.5676976781604749e+08 3.4626541433918244e+08 3.3612291351304793e+08 3.2651815450758135e+08 3.1757182961970520e+08 3.0934651422547370e+08 3.0187290055113405e+08 2.9513668212248963e+08 2.8911799395467323e+08 2.8376872991179192e+08 2.7905619657774746e+08 2.7492716546157271e+08 2.7133252385067356e+08 2.6823483451682171e+08 2.6558394526404563e+08 2.6332967231228983e+08 2.6143764190594876e+08 2.5985754610634494e+08 2.5855883887538910e+08 2.5750173069503114e+08 2.5665518702470627e+08 2.5597306155730340e+08 2.5540851163515303e+08 2.5493104384945038e+08 2.5450908420435110e+08 2.5410759045116544e+08 2.5382239492027560e+08 2.5353407722219077e+08 2.5323974144320932e+08 2.5293139751282138e+08 2.5261329217705518e+08 2.5227590055760053e+08 2.5193253604946104e+08 2.5154971063906142e+08 2.5114001219209489e+08 2.5069590330897143e+08 2.5021149827279833e+08 2.4967964486306724e+08 2.4909228599576074e+08 2.4843745513777199e+08 2.4771851108212054e+08 2.4690540997472215e+08 2.4599379204703107e+08 2.4497043098455125e+08 2.4382109303177834e+08 2.4253109961957645e+08 2.4108572737364313e+08 2.3946831662890294e+08 2.3768302858126679e+08 2.3569585595206898e+08 2.3351480520891619e+08 2.3114492122021401e+08 2.2860479185014749e+08 2.2592604307030317e+08 2.2316887145335591e+08 2.2042250754701141e+08 2.1783547502616826e+08 2.1558969147282898e+08 2.1397515489708385e+08 2.1339397272954783e+08 2.1443171203947893e+08 2.1793933667547050e+08 2.2520645129825413e+08 2.3827429258878124e+08 2.6058577405134615e+08 8.1933388475918844e+07 +7.0606202067355115e+00 4.4347020543817556e+08 4.4342791214953542e+08 4.4335685349972719e+08 4.4326504539791542e+08 4.4317608717386407e+08 4.4312590873991346e+08 4.4313015075085187e+08 4.4316188368555224e+08 4.4319408539701909e+08 4.4322151144788754e+08 4.4324752437368292e+08 4.4327260268901783e+08 4.4329611295065713e+08 4.4331786591581011e+08 4.4333794890582317e+08 4.4335625443031514e+08 4.4337271081920242e+08 4.4338740221772021e+08 4.4340045976437235e+08 4.4341195307660925e+08 4.4342191640455276e+08 4.4343020181317616e+08 4.4343568647316241e+08 4.4343621878320819e+08 4.4343436661236745e+08 4.4343258206396681e+08 4.4342784563805777e+08 4.4341740097754520e+08 4.4339894599976104e+08 4.4336953054410201e+08 4.4332512365799326e+08 4.4326020981289947e+08 4.4316729199567038e+08 4.4303626723451304e+08 4.4285366271153522e+08 4.4260162178648210e+08 4.4225674698553735e+08 4.4178870825253713e+08 4.4115876775295043e+08 4.4031816307158494e+08 4.3911122474958134e+08 4.3750100806893522e+08 4.3538081704888391e+08 4.3263025967413843e+08 4.2912135663391072e+08 4.2472910135782462e+08 4.1934669629233509e+08 4.1290429407951272e+08 4.0538870241270787e+08 3.9685643709171653e+08 3.8743796994273889e+08 3.7734310810412765e+08 3.6684305123193455e+08 3.5621003832277459e+08 3.4570707778994507e+08 3.3556837155725294e+08 3.2596913931408757e+08 3.1702943953901273e+08 3.0881132041178036e+08 3.0134504155244821e+08 2.9461601046990567e+08 2.8860414374224913e+08 2.8326123038738924e+08 2.7855448343317759e+08 2.7443066087765485e+08 2.7084065538797736e+08 2.6774703009009421e+08 2.6509967797779134e+08 2.6284846776741982e+08 2.6095905450132129e+08 2.5938119896024698e+08 2.5808438083167413e+08 2.5702886007225183e+08 2.5618363217779362e+08 2.5550260890308011e+08 2.5493901194036379e+08 2.5446237820730245e+08 2.5404117314131743e+08 2.5364040947071150e+08 2.5335573643570739e+08 2.5306794821225527e+08 2.5277415350079453e+08 2.5246637659173676e+08 2.5214885628855073e+08 2.5181208605570850e+08 2.5146935043532205e+08 2.5108722907150596e+08 2.5067828407646379e+08 2.5023499190772754e+08 2.4975147766940132e+08 2.4922060229079399e+08 2.4863432349996081e+08 2.4798069762969571e+08 2.4726307300517562e+08 2.4645146700596705e+08 2.4554152530944473e+08 2.4452004591779238e+08 2.4337282124459386e+08 2.4208519970714241e+08 2.4064248500065964e+08 2.3902804892295504e+08 2.3724604088949272e+08 2.3526252191909149e+08 2.3308548128259051e+08 2.3071995457379767e+08 2.2818449548237935e+08 2.2551067183442754e+08 2.2275856953037119e+08 2.2001725583149686e+08 2.1743497755495626e+08 2.1519332312608391e+08 2.1358175510692626e+08 2.1300164238649291e+08 2.1403747397437015e+08 2.1753864955422455e+08 2.2479240319878048e+08 2.3783621986037266e+08 2.6010667791325620e+08 8.1699323644861072e+07 +7.0655885295097693e+00 4.4321999702142680e+08 4.4317772154070127e+08 4.4310669601227641e+08 4.4301492351534396e+08 4.4292598766823262e+08 4.4287579736612588e+08 4.4287998509166801e+08 4.4291163649480480e+08 4.4294374256904739e+08 4.4297105817431200e+08 4.4299694056247377e+08 4.4302186431843609e+08 4.4304519217692661e+08 4.4306672993910968e+08 4.4308655904654014e+08 4.4310456533798838e+08 4.4312066897132206e+08 4.4313494425477260e+08 4.4314751067542440e+08 4.4315842426648635e+08 4.4316770339923692e+08 4.4317518147595245e+08 4.4317971170769298e+08 4.4317910182073212e+08 4.4317586517188925e+08 4.4317242274439102e+08 4.4316573100750500e+08 4.4315299236425656e+08 4.4313185146117049e+08 4.4309929666147059e+08 4.4305122751723218e+08 4.4298205068022156e+08 4.4288418287872750e+08 4.4274742675037152e+08 4.4255820785188985e+08 4.4229856252262545e+08 4.4194498391546762e+08 4.4146703497117102e+08 4.4082588003573728e+08 4.3997267757279915e+08 4.3875060747124934e+08 4.3712360879815710e+08 4.3498507606974137e+08 4.3221482507568216e+08 4.2868522738473392e+08 4.2427178619493151e+08 4.1886836888149643e+08 4.1240591537194401e+08 4.0487207523673153e+08 3.9632416666695678e+08 3.8689331917614365e+08 3.7678972528550398e+08 3.6628463690291458e+08 3.5565008088522398e+08 3.4514859899321508e+08 3.3501375967722410e+08 3.2542011391434747e+08 3.1648708777807045e+08 3.0827620393858236e+08 3.0081729113570166e+08 2.9409547238172126e+08 2.8809044713614273e+08 2.8275390058781105e+08 2.7805295305521446e+08 2.7393434963238436e+08 2.7034898882986206e+08 2.6725943451118994e+08 2.6461562510597405e+08 2.6236748202795112e+08 2.6048068929933706e+08 2.5890507652409226e+08 2.5761014927205002e+08 2.5655621708197501e+08 2.5571230561998585e+08 2.5503238481929454e+08 2.5446974080974013e+08 2.5399394095872658e+08 2.5357349021783745e+08 2.5317345631723425e+08 2.5288930553346685e+08 2.5260204652944133e+08 2.5230879262215465e+08 2.5200158245710945e+08 2.5168464690014753e+08 2.5134849774545380e+08 2.5100639071876007e+08 2.5062497305705169e+08 2.5021678114512914e+08 2.4977430529155678e+08 2.4929168141582623e+08 2.4876178358983210e+08 2.4817658434773031e+08 2.4752416287215078e+08 2.4680785704717645e+08 2.4599774542619178e+08 2.4508947914241186e+08 2.4406988050282767e+08 2.4292476807733762e+08 2.4163951725695539e+08 2.4019945879298761e+08 2.3858799592586344e+08 2.3680926631880543e+08 2.3482939922458002e+08 2.3265636673809409e+08 2.3029519518310115e+08 2.2776440409153837e+08 2.2509550317280102e+08 2.2234846770843521e+08 2.1961220174902239e+08 2.1703467540895990e+08 2.1479714808983502e+08 2.1318854717852113e+08 2.1260950337875620e+08 2.1364342817381909e+08 2.1713815784396696e+08 2.2437855702718595e+08 2.3739836077178487e+08 2.5962781543821388e+08 8.1465808199281812e+07 +7.0705568522840272e+00 4.4296797375698245e+08 4.4292571616280943e+08 4.4285472281342494e+08 4.4276298691594505e+08 4.4267407360213012e+08 4.4262387178085178e+08 4.4262800533440500e+08 4.4265957518022048e+08 4.4269158565478879e+08 4.4271879089872700e+08 4.4274454288605827e+08 4.4276931227609813e+08 4.4279245799358797e+08 4.4281378089417380e+08 4.4283335655346584e+08 4.4285106415345860e+08 4.4286681569920111e+08 4.4288067568089533e+08 4.4289275196128452e+08 4.4290308701771641e+08 4.4291168337631792e+08 4.4291835582037753e+08 4.4292193365946686e+08 4.4292018405042398e+08 4.4291556594492108e+08 4.4291046926455969e+08 4.4290182652309871e+08 4.4288679899799329e+08 4.4286297820623320e+08 4.4282729120216447e+08 4.4277556824124789e+08 4.4270213838819379e+08 4.4259933238980919e+08 4.4245685881724221e+08 4.4226104198196435e+08 4.4199381164893019e+08 4.4163155211496156e+08 4.4114371991292596e+08 4.4049138224888879e+08 4.3962561922068763e+08 4.3838846440789860e+08 4.3674473919182295e+08 4.3458792963192129e+08 4.3179806023412359e+08 4.2824785405804825e+08 4.2381332417490071e+08 4.1838900226023060e+08 4.1190661397608560e+08 4.0435464821178150e+08 3.9579122208436745e+08 3.8634811872022051e+08 3.7623591188841808e+08 3.6572590212754411e+08 3.5508990144550836e+08 3.4458998350197309e+08 3.3445908306179875e+08 3.2487108316578883e+08 3.1594477889897716e+08 3.0774116910958433e+08 3.0028965338110656e+08 2.9357507174601811e+08 2.8757690785956031e+08 2.8224674409608716e+08 2.7755160890823728e+08 2.7343823508797032e+08 2.6985752745295864e+08 2.6677205098454270e+08 2.6413178979219279e+08 2.6188671818756533e+08 2.6000254935318348e+08 2.5842918181849477e+08 2.5713614719109738e+08 2.5608380469905868e+08 2.5524121031097060e+08 2.5456239225460947e+08 2.5400070118340486e+08 2.5352573503736752e+08 2.5310603836249012e+08 2.5270673391431713e+08 2.5242310513343450e+08 2.5213637509082535e+08 2.5184366172115871e+08 2.5153701801913297e+08 2.5122066691868749e+08 2.5088513852938268e+08 2.5054365979810262e+08 2.5016294548959774e+08 2.4975550628773290e+08 2.4931384634472883e+08 2.4883211239031580e+08 2.4830319163287100e+08 2.4771907140486798e+08 2.4706785372300926e+08 2.4635286605850756e+08 2.4554424807605553e+08 2.4463765637588975e+08 2.4361993755786085e+08 2.4247693633535320e+08 2.4119405505931908e+08 2.3975665152411860e+08 2.3814816039321509e+08 2.3637270760434097e+08 2.3439649058032170e+08 2.3222746426188874e+08 2.2987064570762604e+08 2.2734452030804044e+08 2.2468053968477085e+08 2.2193856855512428e+08 2.1920734783560121e+08 2.1663457109464195e+08 2.1440116884475616e+08 2.1279553357383725e+08 2.1221755816169420e+08 2.1324957710546264e+08 2.1673786405214486e+08 2.2396491537480143e+08 2.3696071806429127e+08 2.5914918962422463e+08 8.1232841412849784e+07 +7.0755251750582850e+00 4.4271413966636646e+08 4.4267190387816167e+08 4.4260094214247084e+08 4.4250924305512494e+08 4.4242035269060749e+08 4.4237013972470015e+08 4.4237421920391792e+08 4.4240570746596420e+08 4.4243762237663698e+08 4.4246471734571946e+08 4.4249033906885290e+08 4.4251495428943098e+08 4.4253791812917513e+08 4.4255902651029062e+08 4.4257834915810674e+08 4.4259575861151189e+08 4.4261115873929954e+08 4.4262460423642105e+08 4.4263619136563981e+08 4.4264594907642996e+08 4.4265386408687758e+08 4.4265973260205561e+08 4.4266236009017903e+08 4.4265947324032789e+08 4.4265347670738035e+08 4.4264672940984446e+08 4.4263613998247975e+08 4.4261882869010270e+08 4.4259233406119144e+08 4.4255352201050818e+08 4.4249815369423521e+08 4.4242048082517463e+08 4.4231274844378889e+08 4.4216457137897199e+08 4.4196217307887375e+08 4.4168737717861074e+08 4.4131645963672072e+08 4.4081877117357367e+08 4.4015528253100991e+08 4.3927699619605929e+08 4.3802480378551680e+08 4.3636440751162952e+08 4.3418938602011013e+08 4.3137997343807292e+08 4.2780924491728759e+08 4.2335372349881172e+08 4.1790860451938933e+08 4.1140639781759214e+08 4.0383642904006028e+08 3.9525761076454550e+08 3.8580237566196525e+08 3.7568167462746495e+08 3.6516685322502542e+08 3.5452950592237455e+08 3.4403123684653980e+08 3.3390434687737781e+08 3.2432205190395880e+08 3.1540251744315457e+08 3.0720622020854974e+08 2.9976213234948623e+08 2.9305481243195665e+08 2.8706352961820126e+08 2.8173976447804242e+08 2.7705045443829089e+08 2.7294232058956128e+08 2.6936627451693398e+08 2.6628488269789642e+08 2.6364817516432121e+08 2.6140617932463583e+08 2.5952463770065999e+08 2.5795351784809756e+08 2.5666237756789884e+08 2.5561162588283679e+08 2.5477034919514617e+08 2.5409263414255682e+08 2.5353189598638976e+08 2.5305776336173689e+08 2.5263882048824826e+08 2.5224024517063498e+08 2.5195713814123264e+08 2.5167093679837793e+08 2.5137876369581252e+08 2.5107268617288381e+08 2.5075691923520046e+08 2.5042201129493967e+08 2.5008116055678770e+08 2.4970114924843961e+08 2.4929446237851596e+08 2.4885361793649712e+08 2.4837277345664892e+08 2.4784482927775830e+08 2.4726178752254626e+08 2.4661177302628276e+08 2.4589810287438232e+08 2.4509097778156799e+08 2.4418605982548749e+08 2.4317021988685498e+08 2.4202932880934545e+08 2.4074881589021817e+08 2.3931406595357808e+08 2.3770854506579372e+08 2.3593636746594217e+08 2.3396379868381736e+08 2.3179877652694547e+08 2.2944630879286069e+08 2.2692484674836102e+08 2.2426578395610374e+08 2.2152887462453809e+08 2.1880269661418504e+08 2.1623466710506141e+08 2.1400538785813540e+08 2.1240271674193904e+08 2.1182580917764637e+08 2.1285592322327098e+08 2.1633777067316395e+08 2.2355148081919935e+08 2.3652329446519777e+08 2.5867080345399567e+08 8.1000422557207048e+07 +7.0804934978325429e+00 4.4245850935731226e+08 4.4241629206430078e+08 4.4234536201143533e+08 4.4225369923011631e+08 4.4216483265217012e+08 4.4211460893059772e+08 4.4211863441732210e+08 4.4215004107096744e+08 4.4218186045416015e+08 4.4220884523495162e+08 4.4223433683290035e+08 4.4225879808029628e+08 4.4228158030759537e+08 4.4230247451340270e+08 4.4232154458812898e+08 4.4233865644124264e+08 4.4235370582284474e+08 4.4236673765484858e+08 4.4237783662503028e+08 4.4238701818340605e+08 4.4239425327574080e+08 4.4239931957048494e+08 4.4240099875542718e+08 4.4239697715366143e+08 4.4238960523026049e+08 4.4238121096155739e+08 4.4236867917760199e+08 4.4234908924517304e+08 4.4231992684660667e+08 4.4227799692432225e+08 4.4221899173446262e+08 4.4213708587200689e+08 4.4202443894719100e+08 4.4187057237171507e+08 4.4166160911147243e+08 4.4137926711704361e+08 4.4099971452459294e+08 4.4049219683847046e+08 4.3981758900983119e+08 4.3892681667016345e+08 4.3765963381646490e+08 4.3598262200552160e+08 4.3378945350517315e+08 4.3096057295986927e+08 4.2736940820970404e+08 4.2289299234889477e+08 4.1742718373033708e+08 4.1090527480172276e+08 4.0331742540123975e+08 3.9472334010417837e+08 3.8525609706393009e+08 3.7512702019145018e+08 3.6460749648948342e+08 3.5396890021074700e+08 3.4347236453422636e+08 3.3334955626847851e+08 3.2377302494308263e+08 3.1486030793095160e+08 3.0667136149888408e+08 2.9923473208217794e+08 2.9253469829014140e+08 2.8655031609869313e+08 2.8123296528118742e+08 2.7654949307492906e+08 2.7244660946614981e+08 2.6887523326528358e+08 2.6579793282278156e+08 2.6316478433425033e+08 2.6092586850149143e+08 2.5904695736309952e+08 2.5747808760232067e+08 2.5618884336603644e+08 2.5513968357691431e+08 2.5429972520132542e+08 2.5362311340048102e+08 2.5306332812824970e+08 2.5259002883518556e+08 2.5217183949340913e+08 2.5177399297936794e+08 2.5149140744655207e+08 2.5120573453877383e+08 2.5091410142961878e+08 2.5060858979804835e+08 2.5029340672585854e+08 2.4995911891435796e+08 2.4961889586339563e+08 2.4923958719733095e+08 2.4883365227687395e+08 2.4839362292123768e+08 2.4791366746401620e+08 2.4738669936694086e+08 2.4680473553673652e+08 2.4615592361022457e+08 2.4544357031522998e+08 2.4463793735380530e+08 2.4373469229213247e+08 2.4272073027907023e+08 2.4158194827528408e+08 2.4030380251129195e+08 2.3887170482622275e+08 2.3726915267002949e+08 2.3550024861063543e+08 2.3353132621890104e+08 2.3137030619170344e+08 2.2902218707042855e+08 2.2650538601535869e+08 2.2385123855912170e+08 2.2111938845799237e+08 2.1839825059460452e+08 2.1583496592057419e+08 2.1360980758467370e+08 2.1201009911904579e+08 2.1143425885626104e+08 2.1246246896870291e+08 2.1593788018871266e+08 2.2313825592436293e+08 2.3608609268738508e+08 2.5819265989434421e+08 8.0768550901990384e+07 +7.0854618206068007e+00 4.4220108404248214e+08 4.4215888622245944e+08 4.4208798984195918e+08 4.4199636347492844e+08 4.4190752123170906e+08 4.4185728711654609e+08 4.4186125868344778e+08 4.4189258371003306e+08 4.4192430759989661e+08 4.4195118228077412e+08 4.4197654389279199e+08 4.4200085136561525e+08 4.4202345224611843e+08 4.4204413262265980e+08 4.4206295056451124e+08 4.4207976536554742e+08 4.4209446467590451e+08 4.4210708366507977e+08 4.4211769547093427e+08 4.4212630207414508e+08 4.4213285868226290e+08 4.4213712447083098e+08 4.4213785740531075e+08 4.4213270354595566e+08 4.4212395927837843e+08 4.4211392169341183e+08 4.4209945189388472e+08 4.4207758846197712e+08 4.4204576437582910e+08 4.4200072377504575e+08 4.4193809021335763e+08 4.4185196140250653e+08 4.4173441179973030e+08 4.4157486972455555e+08 4.4135935804104412e+08 4.4106948946060860e+08 4.4068132481392258e+08 4.4016400498274165e+08 4.3947830980317295e+08 4.3857508880219769e+08 4.3729296270157415e+08 4.3559939090803736e+08 4.3338814034259152e+08 4.3053986705687666e+08 4.2692835216446596e+08 4.2243113888918465e+08 4.1694474794373333e+08 4.1040325281253117e+08 4.0279764495414275e+08 3.9418841747750503e+08 3.8470928996539736e+08 3.7457195524736196e+08 3.6404783819206244e+08 3.5340809018210030e+08 3.4291337204961330e+08 3.3279471635725689e+08 3.2322400707593459e+08 3.1431815486238056e+08 3.0613659722469717e+08 2.9870745660131907e+08 2.9201473315219808e+08 2.8603727097081578e+08 2.8072635003568304e+08 2.7604872822973436e+08 2.7195110502896506e+08 2.6838440692452934e+08 2.6531120451454195e+08 2.6268162039753547e+08 2.6044578876404518e+08 2.5856951134688300e+08 2.5700289405450872e+08 2.5571554753338629e+08 2.5466798070973000e+08 2.5382934124302191e+08 2.5315383293120557e+08 2.5259500050360116e+08 2.5212253434564888e+08 2.5170509826049143e+08 2.5130798021843746e+08 2.5102591592414880e+08 2.5074077118308523e+08 2.5044967779087135e+08 2.5014473175923017e+08 2.4983013225188664e+08 2.4949646424483860e+08 2.4915686857125351e+08 2.4877826218572563e+08 2.4837307882735866e+08 2.4793386413844448e+08 2.4745479724598166e+08 2.4692880472861913e+08 2.4634791826860625e+08 2.4570030828879037e+08 2.4498927118653864e+08 2.4418512958925682e+08 2.4328355656181660e+08 2.4227147150860208e+08 2.4113479749467376e+08 2.3985901766893581e+08 2.3842957087277544e+08 2.3682998591822782e+08 2.3506435372953495e+08 2.3309907585493529e+08 2.3094205590122500e+08 2.2859828315852189e+08 2.2608614069812399e+08 2.2343690605271167e+08 2.2071011258272448e+08 2.1799401227298024e+08 2.1543547000815099e+08 2.1321443046610269e+08 2.1161768312860444e+08 2.1104290961449575e+08 2.1206921677048194e+08 2.1553819506666175e+08 2.2272524324123517e+08 2.3564911542961806e+08 2.5771476189653119e+08 8.0537225714851990e+07 +7.0904301433810586e+00 4.4194187333333260e+08 4.4189969721169257e+08 4.4182883434276730e+08 4.4173724375766593e+08 4.4164842620548093e+08 4.4159818198360819e+08 4.4160209970385927e+08 4.4163334309113240e+08 4.4166497152157289e+08 4.4169173619137722e+08 4.4171696795735300e+08 4.4174112185621309e+08 4.4176354165814948e+08 4.4178400855182451e+08 4.4180257480305135e+08 4.4181909310320097e+08 4.4183344301875591e+08 4.4184564998977214e+08 4.4185577562975812e+08 4.4186380847789699e+08 4.4186968803997099e+08 4.4187315504086077e+08 4.4187294378374338e+08 4.4186666016921443e+08 4.4185654661023128e+08 4.4184486937388295e+08 4.4182846591064721e+08 4.4180433413273865e+08 4.4176985445643651e+08 4.4172171038652760e+08 4.4165545697472990e+08 4.4156511528373295e+08 4.4144267489422661e+08 4.4127747135855395e+08 4.4105542782032502e+08 4.4075805219720376e+08 4.4036129853080004e+08 4.3983420367280132e+08 4.3913745301840556e+08 4.3822182073970807e+08 4.3692479862958598e+08 4.3521472244164586e+08 4.3298545477395988e+08 4.3011786397000319e+08 4.2648608499355084e+08 4.2196817126467484e+08 4.1646130519165647e+08 4.0990033971278960e+08 4.0227709533374572e+08 3.9365285023550683e+08 3.8416196138164222e+08 3.7401648643638146e+08 3.6348788457968366e+08 3.5284708168471938e+08 3.4235426485381156e+08 3.3223983224356759e+08 3.2267500307366931e+08 3.1377606271655798e+08 3.0560193160960656e+08 2.9818030990988761e+08 2.9149492083156091e+08 2.8552439788511884e+08 2.8021992225446945e+08 2.7554816329782081e+08 2.7145581057285517e+08 2.6789379870499063e+08 2.6482470091211608e+08 2.6219868643392220e+08 2.5996594314311704e+08 2.5809230264219657e+08 2.5652794016327253e+08 2.5524249300299057e+08 2.5419652019428033e+08 2.5335920021883413e+08 2.5268479562231338e+08 2.5212691599108469e+08 2.5165528276596484e+08 2.5123859965718457e+08 2.5084220975076351e+08 2.5056066643386790e+08 2.5027604958805668e+08 2.4998549563245404e+08 2.4968111490618476e+08 2.4936709865919280e+08 2.4903405012917608e+08 2.4869508151862222e+08 2.4831717704720736e+08 2.4791274485914046e+08 2.4747434441228595e+08 2.4699616562170362e+08 2.4647114817555258e+08 2.4589133852469563e+08 2.4524492986113244e+08 2.4453520827930653e+08 2.4373255726958793e+08 2.4283265540594530e+08 2.4182244633598256e+08 2.4068787921439528e+08 2.3941446409594277e+08 2.3798766680923986e+08 2.3639104750818145e+08 2.3462868550059411e+08 2.3266705024704379e+08 2.3051402828604358e+08 2.2817459966102102e+08 2.2566711337192622e+08 2.2302278898211998e+08 2.2030104951319414e+08 2.1758998413311502e+08 2.1503618182203761e+08 2.1281925893125561e+08 2.1122547118133986e+08 2.1065176385630095e+08 2.1167616904455397e+08 2.1513871776273045e+08 2.2231244530674767e+08 2.3521236537634662e+08 2.5723711239640450e+08 8.0306446261480182e+07 +7.0953984661553164e+00 4.4168088627270973e+08 4.4163872874798805e+08 4.4156790079499549e+08 4.4147634756827027e+08 4.4138755535171127e+08 4.4133730121817917e+08 4.4134116517254692e+08 4.4137232691786802e+08 4.4140385992111927e+08 4.4143051466994077e+08 4.4145561673144156e+08 4.4147961725735372e+08 4.4150185624957937e+08 4.4152211001003528e+08 4.4154042501460278e+08 4.4155664736561084e+08 4.4157064856591243e+08 4.4158244434590846e+08 4.4159208482141322e+08 4.4159954511859047e+08 4.4160474907734710e+08 4.4160741901360977e+08 4.4160626562899262e+08 4.4159885476718336e+08 4.4158737497868216e+08 4.4157406176546282e+08 4.4155572900107658e+08 4.4152933404415166e+08 4.4149220488958180e+08 4.4144096457724869e+08 4.4137109985587710e+08 4.4127655537486780e+08 4.4114923611486912e+08 4.4097838518673384e+08 4.4074982639423633e+08 4.4044496330640399e+08 4.4003964369147867e+08 4.3950280096465087e+08 4.3879502675213140e+08 4.3786702061997008e+08 4.3655514977691871e+08 4.3482862481376904e+08 4.3258140502653646e+08 4.2969457192494529e+08 4.2604261489215225e+08 4.2150409760245776e+08 4.1597686348455608e+08 4.0939654334353936e+08 4.0175578415379739e+08 3.9311664570583749e+08 3.8361411830496699e+08 3.7346062037729019e+08 3.6292764187533414e+08 3.5228588054351008e+08 3.4179504838586336e+08 3.3168490900512028e+08 3.2212601768623888e+08 3.1323403595186508e+08 3.0506736885750777e+08 2.9765329599160421e+08 2.9097526512286597e+08 2.8501170047459030e+08 2.7971368543233031e+08 2.7504780165662032e+08 2.7096072937592357e+08 2.6740341180044144e+08 2.6433842513865578e+08 2.6171598550693336e+08 2.5948633465309289e+08 2.5761533422368529e+08 2.5605322887042522e+08 2.5476968269193673e+08 2.5372530492833501e+08 2.5288930501164398e+08 2.5221600434546986e+08 2.5165907745515588e+08 2.5118827695370319e+08 2.5077234653602934e+08 2.5037668442422622e+08 2.5009566182013592e+08 2.4981157259494808e+08 2.4952155779235518e+08 2.4921774207346779e+08 2.4890430877865615e+08 2.4857187939402252e+08 2.4823353752870676e+08 2.4785633460102731e+08 2.4745265318695995e+08 2.4701506655223739e+08 2.4653777539511806e+08 2.4601373250614652e+08 2.4543499909621468e+08 2.4478979111134022e+08 2.4408138436941782e+08 2.4328022316170669e+08 2.4238199158129701e+08 2.4137365750609800e+08 2.4024119616702229e+08 2.3897014451005107e+08 2.3754599533728638e+08 2.3595234012363407e+08 2.3419324658772236e+08 2.3223525203697765e+08 2.3008622596341056e+08 2.2775113916844949e+08 2.2524830659909722e+08 2.2260888987935996e+08 2.1989220175037014e+08 2.1718616864477822e+08 2.1463710380358329e+08 2.1242429539628747e+08 2.1083346567511448e+08 2.1026082397341058e+08 2.1128332819378510e+08 2.1473945071923599e+08 2.2189986464495873e+08 2.3477584519773442e+08 2.5675971431400555e+08 8.0076211805620089e+07 +7.1003667889295743e+00 4.4141812894165105e+08 4.4137599287830174e+08 4.4130519660127455e+08 4.4121368245878899e+08 4.4112491639961153e+08 4.4107465249649584e+08 4.4107846277760839e+08 4.4110954288551587e+08 4.4114098049460137e+08 4.4116752541395837e+08 4.4119249791272962e+08 4.4121634526910436e+08 4.4123840372191733e+08 4.4125844469933528e+08 4.4127650890311837e+08 4.4129243585920876e+08 4.4130608902601218e+08 4.4131747444528073e+08 4.4132663076029545e+08 4.4133351971389091e+08 4.4133804951575464e+08 4.4133992411535382e+08 4.4133783067382419e+08 4.4132929507914495e+08 4.4131645212985212e+08 4.4130150662341756e+08 4.4128124893219525e+08 4.4125259597474080e+08 4.4121282346851796e+08 4.4115849415770662e+08 4.4108502668731594e+08 4.4098628952891505e+08 4.4085410333935952e+08 4.4067761911391211e+08 4.4044256169877625e+08 4.4013023075804728e+08 4.3971636830326670e+08 4.3916980490456080e+08 4.3845103909061313e+08 4.3751069656782061e+08 4.3618402430731493e+08 4.3444110621968931e+08 4.3217599931223041e+08 4.2926999913068491e+08 4.2559795003823107e+08 4.2103892601064956e+08 4.1549143081471175e+08 4.0889187152607828e+08 4.0123371900445229e+08 3.9257981119303662e+08 3.8306576770329624e+08 3.7290436366396898e+08 3.6236711627862865e+08 3.5172449255911958e+08 3.4123572806145859e+08 3.3112995169757777e+08 3.2157705564216787e+08 3.1269207900652373e+08 3.0453291315199775e+08 2.9712641881107241e+08 2.9045576980189192e+08 2.8449918235433924e+08 2.7920764304664135e+08 2.7454764666701096e+08 2.7046586469945031e+08 2.6691324938805187e+08 2.6385238030062115e+08 2.6123352066446301e+08 2.5900696629317421e+08 2.5713860905042329e+08 2.5557876310349482e+08 2.5429711950176015e+08 2.5325433779422343e+08 2.5241965848897889e+08 2.5174746195789498e+08 2.5119148774410078e+08 2.5072151975145474e+08 2.5030634173436454e+08 2.4991140707148457e+08 2.4963090491240066e+08 2.4934734303005448e+08 2.4905786709365901e+08 2.4875461608024198e+08 2.4844176542655176e+08 2.4810995485180819e+08 2.4777223941025263e+08 2.4739573765147570e+08 2.4699280661002409e+08 2.4655603335309550e+08 2.4607962935518846e+08 2.4555656050306475e+08 2.4497890276008952e+08 2.4433489480885741e+08 2.4362780221853697e+08 2.4282813001809072e+08 2.4193156782995561e+08 2.4092510774970442e+08 2.3979475107053864e+08 2.3852606161507758e+08 2.3710455914454699e+08 2.3551386643425843e+08 2.3375803964028242e+08 2.3180368385192415e+08 2.2965865153605810e+08 2.2732790425749394e+08 2.2482972292779729e+08 2.2219521126289600e+08 2.1948357178193471e+08 2.1678256826552910e+08 2.1423823838095343e+08 2.1202954226437831e+08 2.1044166899505770e+08 2.0987009234439880e+08 2.1089069660878864e+08 2.1434039636579496e+08 2.2148750376625910e+08 2.3433955755015001e+08 2.5628257055458280e+08 7.9846521609094426e+07 +7.1053351117038321e+00 4.4115361016653931e+08 4.4111149143307155e+08 4.4104073139449424e+08 4.4094925627604359e+08 4.4086051700852060e+08 4.4081024349221593e+08 4.4081400020016819e+08 4.4084499868527013e+08 4.4087634093246686e+08 4.4090277611470276e+08 4.4092761919365877e+08 4.4095131358513284e+08 4.4097319177019286e+08 4.4099302031645298e+08 4.4101083416698688e+08 4.4102646628502858e+08 4.4103977210167569e+08 4.4105074799297857e+08 4.4105942115475351e+08 4.4106573997588974e+08 4.4106959707076937e+08 4.4107067806663185e+08 4.4106764664366192e+08 4.4105798883759367e+08 4.4104378580454838e+08 4.4102721169759029e+08 4.4100503346395695e+08 4.4097412769743186e+08 4.4093171798101729e+08 4.4087430693180674e+08 4.4079724529197079e+08 4.4069432558981496e+08 4.4055728443664819e+08 4.4037518103749567e+08 4.4013364166164857e+08 4.3981386251429969e+08 4.3939148036368233e+08 4.3883522352798426e+08 4.3810549810872227e+08 4.3715285669674736e+08 4.3581143037186414e+08 4.3405217484012836e+08 4.3176924582924336e+08 4.2884415378130823e+08 4.2515209859205163e+08 4.2057266457839328e+08 4.1500501515282375e+08 4.0838633205858302e+08 4.0071090745566994e+08 3.9204235397855836e+08 3.8251691652084851e+08 3.7234772286684555e+08 3.6180631396510100e+08 3.5116292350981486e+08 3.4067630927356488e+08 3.3057496535442615e+08 3.2102812164840180e+08 3.1215019629760224e+08 3.0399856865790236e+08 2.9659968231341618e+08 2.8993643862670261e+08 2.8398684712128127e+08 2.7870179855770427e+08 2.7404770167201066e+08 2.6997121978807122e+08 2.6642331462894863e+08 2.6336656948858875e+08 2.6075129493826178e+08 2.5852784104635867e+08 2.5666213006593764e+08 2.5510454577405530e+08 2.5382480631908023e+08 2.5278362165906435e+08 2.5195026350361371e+08 2.5127917130106381e+08 2.5072414969198814e+08 2.5025501398648277e+08 2.4984058807423481e+08 2.4944638051004446e+08 2.4916639852522281e+08 2.4888336370456383e+08 2.4859442634434718e+08 2.4829173973161969e+08 2.4797947140358287e+08 2.4764827929984531e+08 2.4731118995637929e+08 2.4693538898757991e+08 2.4653320791322318e+08 2.4609724759446555e+08 2.4562173027681756e+08 2.4509963493542659e+08 2.4452305227836934e+08 2.4388024370838639e+08 2.4317446457319459e+08 2.4237628057650414e+08 2.4148138687984481e+08 2.4047679978316078e+08 2.3934854662826654e+08 2.3808221810017645e+08 2.3666336090420130e+08 2.3507562909503368e+08 2.3332306729370627e+08 2.3137234830516717e+08 2.2923130759330311e+08 2.2690489749096295e+08 2.2441136489280322e+08 2.2178175563773450e+08 2.1907516208242810e+08 2.1637918543919548e+08 2.1383958796963263e+08 2.1163500192592224e+08 2.1005008351423737e+08 2.0947957133551085e+08 2.1049827666703933e+08 2.1394155711856207e+08 2.2107536516770369e+08 2.3390350507543352e+08 2.5580568400713971e+08 7.9617374931823537e+07 +7.1103034344780900e+00 4.4088733801760137e+08 4.4084524127483320e+08 4.4077451378005457e+08 4.4068307694074905e+08 4.4059436479183483e+08 4.4054408188143307e+08 4.4054778511753398e+08 4.4057870200101924e+08 4.4060994891889888e+08 4.4063627445761436e+08 4.4066098826090288e+08 4.4068452989310509e+08 4.4070622808382326e+08 4.4072584455176407e+08 4.4074340849912709e+08 4.4075874633698297e+08 4.4077170548959976e+08 4.4078227268807304e+08 4.4079046370690542e+08 4.4079621360995620e+08 4.4079939945310163e+08 4.4079968858265585e+08 4.4079572125814646e+08 4.4078494376820219e+08 4.4076938373627335e+08 4.4075118473054200e+08 4.4072709035012931e+08 4.4069393697864878e+08 4.4064889620733875e+08 4.4058841069664603e+08 4.4050776348532921e+08 4.4040067139525205e+08 4.4025878726831639e+08 4.4007107884594530e+08 4.3982307420222688e+08 4.3949586652665001e+08 4.3906498786133564e+08 4.3849906486176300e+08 4.3775841187129772e+08 4.3679350910997313e+08 4.3543737611031103e+08 4.3366183884311354e+08 4.3136115275963461e+08 4.2841704405356538e+08 4.2470506869654852e+08 4.2010532137617844e+08 4.1451762445058769e+08 4.0787993271906453e+08 4.0018735705274993e+08 3.9150428132071155e+08 3.8196757167889804e+08 3.7179070453241354e+08 3.6124524108665580e+08 3.5060117915004885e+08 3.4011679739264745e+08 3.3001995498732847e+08 3.2047922039097673e+08 3.1160839222248280e+08 3.0346433951941252e+08 2.9607309042504454e+08 2.8941727533589441e+08 2.8347469835439473e+08 2.7819615540795237e+08 2.7354796999869788e+08 2.6947679786959153e+08 2.6593361066743740e+08 2.6288099577690101e+08 2.6026931134400007e+08 2.5804896188006929e+08 2.5618590019841236e+08 2.5463057977806756e+08 2.5335274601502258e+08 2.5231315937444547e+08 2.5148112289279559e+08 2.5081113520163327e+08 2.5025706611695549e+08 2.4978876247125766e+08 2.4937508836314425e+08 2.4898160754269415e+08 2.4870214545795387e+08 2.4841963741456488e+08 2.4813123833742577e+08 2.4782911581669122e+08 2.4751742949611285e+08 2.4718685552057269e+08 2.4685039194571447e+08 2.4647529138329533e+08 2.4607385986621207e+08 2.4563871204138088e+08 2.4516408091923049e+08 2.4464295855658385e+08 2.4406745039823079e+08 2.4342584055003071e+08 2.4272137416548115e+08 2.4192467755990469e+08 2.4103145144366825e+08 2.4002873630827439e+08 2.3890258552951348e+08 2.3763861664010522e+08 2.3622240327524802e+08 2.3463763074722567e+08 2.3288833216944596e+08 2.3094124799650875e+08 2.2880419671072835e+08 2.2648212141826916e+08 2.2399323501545185e+08 2.2136852549561700e+08 2.1866697511350396e+08 2.1597602259722099e+08 2.1344115497183442e+08 2.1124067675876719e+08 2.0965871159204540e+08 2.0908926330027914e+08 2.1010607073356229e+08 2.1354293538150457e+08 2.2066345133323434e+08 2.3346769040183944e+08 2.5532905754587215e+08 7.9388771031846210e+07 +7.1152717572523478e+00 4.4061931581934720e+08 4.4057724638124543e+08 4.4050654962771368e+08 4.4041515257056177e+08 4.4032646736647862e+08 4.4027617534283000e+08 4.4027982520363110e+08 4.4031066050920349e+08 4.4034181213208067e+08 4.4036802812190944e+08 4.4039261279390830e+08 4.4041600187425148e+08 4.4043752034554386e+08 4.4045692509069806e+08 4.4047423958507466e+08 4.4048928370356441e+08 4.4050189688093227e+08 4.4051205622383505e+08 4.4051976611322397e+08 4.4052494831601989e+08 4.4052746436509317e+08 4.4052696337028021e+08 4.4052206223078531e+08 4.4051016759114307e+08 4.4049325365230924e+08 4.4047343345895869e+08 4.4044742733798587e+08 4.4041203157748580e+08 4.4036436592063451e+08 4.4030081324155265e+08 4.4021658907627809e+08 4.4010533477448422e+08 4.3995861968879306e+08 4.3976532042061269e+08 4.3951086723103821e+08 4.3917625073906577e+08 4.3873689877443993e+08 4.3816133692120004e+08 4.3740978843140447e+08 4.3643266189672285e+08 4.3506186964777625e+08 4.3327010638250774e+08 4.3095172827192944e+08 4.2798867810903317e+08 4.2425686847782558e+08 4.1963690445627666e+08 4.1402926663920337e+08 4.0737268126439190e+08 3.9966307531989974e+08 3.9096560045471698e+08 3.8141774007425559e+08 3.7123331518345100e+08 3.6068390377149725e+08 3.5003926521103179e+08 3.3955719776585716e+08 3.2946492558530444e+08 3.1993035653418577e+08 3.1106667115698195e+08 3.0293022986113334e+08 2.9554664705336994e+08 2.8889828365032738e+08 2.8296273961501759e+08 2.7769071702249157e+08 2.7304845495615476e+08 2.6898260215538198e+08 2.6544414063198572e+08 2.6239566222407258e+08 2.5978757288205841e+08 2.5757033174635264e+08 2.5570992235987750e+08 2.5415686799661112e+08 2.5288094144546428e+08 2.5184295377727428e+08 2.5101223947878063e+08 2.5034335647112265e+08 2.4979023982291478e+08 2.4932276800292039e+08 2.4890984539309362e+08 2.4851709095700642e+08 2.4823814849497375e+08 2.4795616694158068e+08 2.4766830585080367e+08 2.4736674711034757e+08 2.4705564247526997e+08 2.4672568628135246e+08 2.4638984814200482e+08 2.4601544759878394e+08 2.4561476522408563e+08 2.4518042944389889e+08 2.4470668402740219e+08 2.4418653410567397e+08 2.4361209985230321e+08 2.4297168805933228e+08 2.4226853371312886e+08 2.4147332367688352e+08 2.4058176422015008e+08 2.3958092001231748e+08 2.3845687044896197e+08 2.3719525989555463e+08 2.3578168890218577e+08 2.3419987401806772e+08 2.3245383687488031e+08 2.3051038551131657e+08 2.2837732144977704e+08 2.2605957857500386e+08 2.2357533580354699e+08 2.2095552331509674e+08 2.1825901332301006e+08 2.1557308215718317e+08 2.1304294177745312e+08 2.1084656912778062e+08 2.0926755557606739e+08 2.0869917057972062e+08 2.0971408116084009e+08 2.1314453354550228e+08 2.2025176473329386e+08 2.3303211614303645e+08 2.5485269402936471e+08 7.9160709165339634e+07 +7.1202400800266057e+00 4.4034956067918915e+08 4.4030750779821885e+08 4.4023684584221214e+08 4.4014549094961894e+08 4.4005683237114668e+08 4.4000653155680937e+08 4.4001012812755769e+08 4.4004088188114190e+08 4.4007193824380213e+08 4.4009804478138530e+08 4.4012250046771431e+08 4.4014573720474988e+08 4.4016707623228574e+08 4.4018626961115032e+08 4.4020333510612530e+08 4.4021808606718737e+08 4.4023035395943570e+08 4.4024010628758401e+08 4.4024733606290889e+08 4.4025195178661460e+08 4.4025379950408870e+08 4.4025251013161314e+08 4.4024667726855862e+08 4.4023366801929718e+08 4.4021540327318716e+08 4.4019396561241770e+08 4.4016605216663516e+08 4.4012841924580407e+08 4.4007813488760662e+08 4.4001152234926081e+08 4.3992372986506289e+08 4.3980832354991370e+08 4.3965678954285687e+08 4.3945791363323611e+08 4.3919702864993650e+08 4.3885502308574200e+08 4.3840722107208341e+08 4.3782204771174526e+08 4.3705963583225697e+08 4.3607032313658971e+08 4.3468491909861469e+08 4.3287698559854966e+08 4.3054098051887995e+08 4.2755906409338129e+08 4.2380750604380673e+08 4.1916742185163540e+08 4.1353994962927949e+08 4.0686458542861646e+08 3.9913806975875908e+08 3.9042631859263104e+08 3.8086742858026242e+08 3.7067556131871235e+08 3.6012230812418956e+08 3.4947718740031183e+08 3.3899751571818674e+08 3.2890988211611128e+08 3.1938153472199613e+08 3.1052503745718813e+08 3.0239624378792787e+08 2.9502035608649141e+08 2.8837946727229702e+08 2.8245097444613141e+08 2.7718548680912066e+08 2.7254915983686221e+08 2.6848863583985019e+08 2.6495490763408077e+08 2.6191057187236524e+08 2.5930608253647876e+08 2.5709195358127248e+08 2.5523419944748414e+08 2.5368341329473078e+08 2.5240939545092934e+08 2.5137300768876666e+08 2.5054361606841904e+08 2.4987583790596095e+08 2.4932367359782213e+08 2.4885703336399329e+08 2.4844486194136149e+08 2.4805283352575716e+08 2.4777441040585724e+08 2.4749295505197313e+08 2.4720563164760146e+08 2.4690463637251326e+08 2.4659411309720168e+08 2.4626477433495665e+08 2.4592956129413486e+08 2.4555586037827322e+08 2.4515592672727123e+08 2.4472240253759599e+08 2.4424954233133048e+08 2.4373036430711529e+08 2.4315700335803685e+08 2.4251778894687530e+08 2.4181594591856167e+08 2.4102222162145725e+08 2.4013232789337972e+08 2.3913335356821230e+08 2.3801140404707897e+08 2.3675215051278919e+08 2.3534122041586027e+08 2.3376236152003607e+08 2.3201958400321206e+08 2.3007976342133960e+08 2.2795068435867268e+08 2.2563727148337534e+08 2.2315766975131845e+08 2.2054275156123605e+08 2.1785127914598787e+08 2.1517036652455616e+08 2.1264495076329041e+08 2.1045268138544869e+08 2.0887661780093968e+08 2.0830929550218284e+08 2.0932231028852701e+08 2.1274635398838213e+08 2.1984030782526186e+08 2.3259678489893436e+08 2.5437659630084705e+08 7.8933188586639762e+07 +7.1252084028008635e+00 4.4007806751110691e+08 4.4003603859816217e+08 4.3996541230134940e+08 4.3987409917540938e+08 4.3978546744790322e+08 4.3973515819707876e+08 4.3973870155590034e+08 4.3976937378017807e+08 4.3980033492053938e+08 4.3982633210250539e+08 4.3985065894998538e+08 4.3987374355361104e+08 4.3989490341520625e+08 4.3991388578529108e+08 4.3993070273542416e+08 4.3994516110333771e+08 4.3995708440332037e+08 4.3996643055933690e+08 4.3997318123987252e+08 4.3997723170897102e+08 4.3997841256111616e+08 4.3997633656220788e+08 4.3996957407216507e+08 4.3995545275918448e+08 4.3993584031321311e+08 4.3991278891359657e+08 4.3988297257064480e+08 4.3984310772938299e+08 4.3979021086676663e+08 4.3972054579446113e+08 4.3962919364507926e+08 4.3950964553474212e+08 4.3935330466826558e+08 4.3914886634783351e+08 4.3888156635156173e+08 4.3853219149144757e+08 4.3807596271333349e+08 4.3748120522790360e+08 4.3670796210463816e+08 4.3570650089606309e+08 4.3430653256289965e+08 4.3248248461747712e+08 4.3012891763909757e+08 4.2712821013496476e+08 4.2335698948501128e+08 4.1869688157637280e+08 4.1304968131198668e+08 4.0635565292597336e+08 3.9861234784873116e+08 3.8988644292287105e+08 3.8031664404695243e+08 3.7011744941320956e+08 3.5956046022547245e+08 3.4891495140275735e+08 3.3843775655174696e+08 3.2835482952487946e+08 3.1883275957597840e+08 3.0998349545863754e+08 3.0186238538534850e+08 2.9449422139346367e+08 2.8786082988545841e+08 2.8193940637347990e+08 2.7668046815819502e+08 2.7205008791640937e+08 2.6799490210143006e+08 2.6446591476986083e+08 2.6142572774780157e+08 2.5882484327567843e+08 2.5661383030535957e+08 2.5475873434247649e+08 2.5321021852287769e+08 2.5193811085669598e+08 2.5090332391538534e+08 2.5007525545386264e+08 2.4940858228736287e+08 2.4885737021535784e+08 2.4839156132144415e+08 2.4798014077032691e+08 2.4758883800632098e+08 2.4731093394527900e+08 2.4703000449686581e+08 2.4674321847639444e+08 2.4644278634791282e+08 2.4613284410343462e+08 2.4580412241919386e+08 2.4546953413614175e+08 2.4509653245187706e+08 2.4469734710102645e+08 2.4426463404278743e+08 2.4379265854646757e+08 2.4327445187031713e+08 2.4270216361952311e+08 2.4206414590860015e+08 2.4136361347045195e+08 2.4057137407307342e+08 2.3968314513297302e+08 2.3868603963455471e+08 2.3756618896975920e+08 2.3630929112384272e+08 2.3490100043248281e+08 2.3332509585233828e+08 2.3158557613425019e+08 2.2964938428451309e+08 2.2752428797142434e+08 2.2521520265174305e+08 2.2274023933990598e+08 2.2013021268584755e+08 2.1744377500444829e+08 2.1476787809131834e+08 2.1224718429345250e+08 2.1005901587146387e+08 2.0848590058887440e+08 2.0791964038339356e+08 2.0893076044366315e+08 2.1234839907525095e+08 2.1942908305299571e+08 2.3216169925544077e+08 2.5390076718815783e+08 7.8706208548261449e+07 +7.1301767255751214e+00 4.3980485335515320e+08 4.3976284747560865e+08 4.3969225712228721e+08 4.3960098406794971e+08 4.3951238022198796e+08 4.3946206292591166e+08 4.3946555314981455e+08 4.3949614386469001e+08 4.3952700982110161e+08 4.3955289774603492e+08 4.3957709590250689e+08 4.3960002858378839e+08 4.3962100955811161e+08 4.3963978127918410e+08 4.3965635014070475e+08 4.3967051648176199e+08 4.3968209588409990e+08 4.3969103671313119e+08 4.3969730932044798e+08 4.3970079576287812e+08 4.3970131121985918e+08 4.3969845034989548e+08 4.3969076033495808e+08 4.3967552951096344e+08 4.3965457247897178e+08 4.3962991107845598e+08 4.3959819627476162e+08 4.3955610476546764e+08 4.3950060161029726e+08 4.3942789134475082e+08 4.3933298820227647e+08 4.3920930853622133e+08 4.3904817289433497e+08 4.3883818641951156e+08 4.3856448822044688e+08 4.3820776387121952e+08 4.3774313164760256e+08 4.3713881745495063e+08 4.3635477526957601e+08 4.3534120322952920e+08 4.3392671812914896e+08 4.3208661155132145e+08 4.2971554775481558e+08 4.2669612434645677e+08 4.2290532687435812e+08 4.1822529162604529e+08 4.1255846955757833e+08 4.0584589144895571e+08 3.9808591704563397e+08 3.8934598061104733e+08 3.7976539330065125e+08 3.6955898591817701e+08 3.5899836613184088e+08 3.4835256287967652e+08 3.3787792554596782e+08 3.2779977273545110e+08 3.1828403569740373e+08 3.0944204947659105e+08 3.0132865871874195e+08 2.9396824682468307e+08 2.8734237515519583e+08 2.8142803890435982e+08 2.7617566444300163e+08 2.7155124245331389e+08 2.6750140410124671e+08 2.6397716511825427e+08 2.6094113286109585e+08 2.5834385805236566e+08 2.5613596482350487e+08 2.5428352991137448e+08 2.5273728651571330e+08 2.5146709047313234e+08 2.5043390524823594e+08 2.4960716041216144e+08 2.4894159238169560e+08 2.4839133243380281e+08 2.4792635462796581e+08 2.4751568462721118e+08 2.4712510714225513e+08 2.4684772185291988e+08 2.4656731801318768e+08 2.4628106907028660e+08 2.4598119976676506e+08 2.4567183822094217e+08 2.4534373325726247e+08 2.4500976938719624e+08 2.4463746653482905e+08 2.4423902905610073e+08 2.4380712666568950e+08 2.4333603537351447e+08 2.4281879949046996e+08 2.4224758332482630e+08 2.4161076162663621e+08 2.4091153904258782e+08 2.4012078369704664e+08 2.3923421859411487e+08 2.3823898085536551e+08 2.3712122784869426e+08 2.3586668434664521e+08 2.3446103155435106e+08 2.3288807959957048e+08 2.3115181583311710e+08 2.2921925064480004e+08 2.2709813480857208e+08 2.2479337457503080e+08 2.2232304703668994e+08 2.1971790912756661e+08 2.1703650330723062e+08 2.1436561923682544e+08 2.1184964471877137e+08 2.0966557491270792e+08 2.0809540624951294e+08 2.0753020752694201e+08 2.0853943394074574e+08 2.1195067115871802e+08 2.1901809284756362e+08 2.3172686178464040e+08 2.5342520950409055e+08 7.8479768300918281e+07 +7.1351450483493792e+00 4.3952992820942438e+08 4.3948793979214245e+08 4.3941738440989101e+08 4.3932615297245461e+08 4.3923757830526763e+08 4.3918725339326507e+08 4.3919069056591225e+08 4.3922119978541690e+08 4.3925197059842110e+08 4.3927774936597240e+08 4.3930181897986627e+08 4.3932459995168418e+08 4.3934540231832403e+08 4.3936396375172734e+08 4.3938028498327452e+08 4.3939415986497670e+08 4.3940539606689942e+08 4.3941393241652679e+08 4.3941972797552681e+08 4.3942265162234455e+08 4.3942250315784544e+08 4.3941885917683131e+08 4.3941024374412453e+08 4.3939390596750075e+08 4.3937160747141641e+08 4.3934533981583697e+08 4.3931173099877334e+08 4.3926741808551198e+08 4.3920931486249250e+08 4.3913356676050508e+08 4.3903512131397986e+08 4.3890732035167325e+08 4.3874140204198152e+08 4.3852588169520515e+08 4.3824580213138914e+08 4.3788174813109010e+08 4.3740873581348693e+08 4.3679489236595786e+08 4.3600008333533949e+08 4.3497443818066239e+08 4.3354548387197012e+08 4.3168937449929100e+08 4.2930087897461241e+08 4.2626281482433027e+08 4.2245252626738238e+08 4.1775265997611302e+08 4.1206632221656740e+08 4.0533530866760993e+08 3.9755878478465247e+08 3.8880493879923934e+08 3.7921368314303988e+08 3.6900017726090783e+08 3.5843603187812042e+08 3.4779002746903843e+08 3.3731802795758396e+08 3.2724471664921629e+08 3.1773536766604441e+08 3.0890070380568010e+08 3.0079506783426952e+08 2.9344243621142435e+08 2.8682410672897267e+08 2.8091687552902532e+08 2.7567107901905793e+08 2.7105262668971652e+08 2.6700814498450947e+08 2.6348866174281964e+08 2.6045679020650369e+08 2.5786312980367953e+08 2.5565836002519864e+08 2.5380858900470021e+08 2.5226462009262842e+08 2.5099633709503454e+08 2.4996475446339381e+08 2.4913933370507079e+08 2.4847487094032922e+08 2.4792556299684581e+08 2.4746141602076399e+08 2.4705149624462053e+08 2.4666164366085434e+08 2.4638477685384035e+08 2.4610489832271996e+08 2.4581918614810738e+08 2.4551987934436241e+08 2.4521109816116235e+08 2.4488360955715036e+08 2.4455026975198629e+08 2.4417866532745877e+08 2.4378097528866854e+08 2.4334988309749043e+08 2.4287967549877864e+08 2.4236340984790021e+08 2.4179326514814493e+08 2.4115763876791555e+08 2.4045972529418236e+08 2.3967045314359015e+08 2.3878555091766873e+08 2.3779217986075431e+08 2.3667652330165979e+08 2.3542433278497076e+08 2.3402131636951670e+08 2.3245131533277503e+08 2.3071830565157539e+08 2.2878936503244102e+08 2.2667222737684849e+08 2.2437178973463550e+08 2.2190609529582894e+08 2.1930584331191319e+08 2.1662946645036855e+08 2.1396359232726067e+08 2.1145233437839487e+08 2.0927236082382092e+08 2.0770513707990766e+08 2.0714099922353649e+08 2.0814833308203641e+08 2.1155317257839435e+08 2.1860733962649742e+08 2.3129227504416496e+08 2.5294992604614797e+08 7.8253867093542546e+07 +7.1401133711236371e+00 4.3925328880072653e+08 4.3921132420957685e+08 4.3914080472562987e+08 4.3904961378842628e+08 4.3896106931877553e+08 4.3891073723537719e+08 4.3891412145426947e+08 4.3894454918705851e+08 4.3897522489856213e+08 4.3900089461016423e+08 4.3902483583126795e+08 4.3904746530636621e+08 4.3906808934775978e+08 4.3908644085570753e+08 4.3910251491662234e+08 4.3911609890924674e+08 4.3912699261023587e+08 4.3913512533057046e+08 4.3914044486840832e+08 4.3914280695362586e+08 4.3914199604551750e+08 4.3913757071786338e+08 4.3912803197928780e+08 4.3911058981436855e+08 4.3908695298315084e+08 4.3905908282772720e+08 4.3902358445488787e+08 4.3897705541288030e+08 4.3891635836008739e+08 4.3883757979352164e+08 4.3873560075021946e+08 4.3860368877058923e+08 4.3843299992387652e+08 4.3821196001218605e+08 4.3792551594996196e+08 4.3755415216832948e+08 4.3707278314064592e+08 4.3644943792493230e+08 4.3564389430004996e+08 4.3460621377927238e+08 4.3316283785291362e+08 4.3129078154516774e+08 4.2888491939044803e+08 4.2582828964804202e+08 4.2199859570187712e+08 4.1727899458449095e+08 4.1157324711922890e+08 4.0482391223159176e+08 3.9703095847679633e+08 3.8826332460707670e+08 3.7866152035359997e+08 3.6844102984467077e+08 3.5787346347282934e+08 3.4722735078577447e+08 3.3675806902078402e+08 3.2668966614612234e+08 3.1718676004073429e+08 3.0835946272027564e+08 3.0026161675842804e+08 2.9291679336610073e+08 2.8630602823548758e+08 2.8040591971929687e+08 2.7516671522514743e+08 2.7055424385014778e+08 2.6651512787981096e+08 2.6300040769039857e+08 2.5997270276264897e+08 2.5738266145067126e+08 2.5518101878461879e+08 2.5333391445740584e+08 2.5179222205819407e+08 2.5052585350241157e+08 2.4949587432178116e+08 2.4867177807953572e+08 2.4800842069966853e+08 2.4746006463292634e+08 2.4699674822257179e+08 2.4658757833996487e+08 2.4619845027558315e+08 2.4592210165782240e+08 2.4564274813237998e+08 2.4535757241369087e+08 2.4505882778102520e+08 2.4475062662178767e+08 2.4442375401284075e+08 2.4409103792043611e+08 2.4372013151562265e+08 2.4332318848016796e+08 2.4289290601504597e+08 2.4242358159366241e+08 2.4190828560830119e+08 2.4133921174923930e+08 2.4070477998494947e+08 2.4000817487022567e+08 2.3922038504938659e+08 2.3833714472996655e+08 2.3734563926594219e+08 2.3623207793171525e+08 2.3498223902803057e+08 2.3358185745227739e+08 2.3201480560851792e+08 2.3028504812755936e+08 2.2835972996403834e+08 2.2624656816971657e+08 2.2395045059870940e+08 2.2148938655820361e+08 2.1889401765091652e+08 2.1622266681638813e+08 2.1356179971626398e+08 2.1105525559789643e+08 2.0887937590639561e+08 2.0731509536455777e+08 2.0675201775166801e+08 2.0775746015681514e+08 2.1115590566132575e+08 2.1819682579450741e+08 2.3085794157841456e+08 2.5247491959640682e+08 7.8028504173305184e+07 +7.1450816938978949e+00 4.3897495112674952e+08 4.3893300648110646e+08 4.3886252557702464e+08 4.3877137485969418e+08 4.3868286091108018e+08 4.3863252207995808e+08 4.3863585345724732e+08 4.3866619970751435e+08 4.3869678036081290e+08 4.3872234111916894e+08 4.3874615409852910e+08 4.3876863229223830e+08 4.3878907829063612e+08 4.3880722023783338e+08 4.3882304758948845e+08 4.3883634126424623e+08 4.3884689316518492e+08 4.3885462310870165e+08 4.3885946765590388e+08 4.3886126941749012e+08 4.3885979754689658e+08 4.3885459264090127e+08 4.3884413271420288e+08 4.3882558873127627e+08 4.3880061670094299e+08 4.3877114780886108e+08 4.3873376434710169e+08 4.3868502446379012e+08 4.3862173983254033e+08 4.3853993818851256e+08 4.3843443427322561e+08 4.3829842157569373e+08 4.3812297434407562e+08 4.3789642919991952e+08 4.3760363753313982e+08 4.3722498386850542e+08 4.3673528154739529e+08 4.3610246208377767e+08 4.3528621614976084e+08 4.3423653804473484e+08 4.3277878812125975e+08 4.3089084075973833e+08 4.2846767708051568e+08 4.2539255688171923e+08 4.2154354319741255e+08 4.1680430338906145e+08 4.1107925207489228e+08 4.0431170976909477e+08 3.9650244551151311e+08 3.8772114513003141e+08 3.7810891168719548e+08 3.6788155004960263e+08 3.5731066690246272e+08 3.4666453842151731e+08 3.3619805394734961e+08 3.2613462608378583e+08 3.1663821735949975e+08 3.0781833047465938e+08 2.9972830949795097e+08 2.9239132208236086e+08 2.8578814328559363e+08 2.7989517493005717e+08 2.7466257638257575e+08 2.7005609714311171e+08 2.6602235589942685e+08 2.6251240599197999e+08 2.5948887349177480e+08 2.5690245589919519e+08 2.5470394396023276e+08 2.5285950909001288e+08 2.5132009520116359e+08 2.5005564245991224e+08 2.4902726756964409e+08 2.4820449626738203e+08 2.4754224438145331e+08 2.4699484005592179e+08 2.4653235394107229e+08 2.4612393361637115e+08 2.4573552968487424e+08 2.4545969896041813e+08 2.4518087013435304e+08 2.4489623055602798e+08 2.4459804776310647e+08 2.4429042628482455e+08 2.4396416930311307e+08 2.4363207656784439e+08 2.4326186777048400e+08 2.4286567129724708e+08 2.4243619808024874e+08 2.4196775631503773e+08 2.4145342942344683e+08 2.4088542577316609e+08 2.4025218791604376e+08 2.3955689040117458e+08 2.3877058203587934e+08 2.3788900264347920e+08 2.3689936167272773e+08 2.3578789432807508e+08 2.3454040565152389e+08 2.3314265736273363e+08 2.3157855296993715e+08 2.2985204578460211e+08 2.2793034794234490e+08 2.2582115966675034e+08 2.2352935962165654e+08 2.2107292325133634e+08 2.1848243454379123e+08 2.1581610677508023e+08 2.1316024374441868e+08 2.1065841069024119e+08 2.0848662244996348e+08 2.0692528337572306e+08 2.0636326537736765e+08 2.0736681744216877e+08 2.1075887272147501e+08 2.1778655374287972e+08 2.3042386391751811e+08 2.5200019292214507e+08 7.7803678785635442e+07 +7.1500500166721528e+00 4.3869491714201760e+08 4.3865299962211782e+08 4.3858255370070302e+08 4.3849144452395654e+08 4.3840296077639806e+08 4.3835261555139202e+08 4.3835589420853841e+08 4.3838615897888780e+08 4.3841664461844730e+08 4.3844209652703744e+08 4.3846578141694045e+08 4.3848810854402488e+08 4.3850837678465021e+08 4.3852630953622401e+08 4.3854189064224458e+08 4.3855489457275730e+08 4.3856510537755054e+08 4.3857243339893818e+08 4.3857680398822045e+08 4.3857804666682482e+08 4.3857591531797677e+08 4.3856993260756648e+08 4.3855855361437017e+08 4.3853891038953227e+08 4.3851260630348533e+08 4.3848154244659179e+08 4.3844227837263209e+08 4.3839133294604868e+08 4.3832546700128686e+08 4.3824064968204856e+08 4.3813162963664842e+08 4.3799152654005450e+08 4.3781133309792131e+08 4.3757929707849497e+08 4.3728017472807139e+08 4.3689425110911971e+08 4.3639623894286942e+08 4.3575397278430587e+08 4.3492705685941195e+08 4.3386541898274463e+08 4.3239334271231776e+08 4.3048956019839251e+08 4.2804916010641956e+08 4.2495562457125354e+08 4.2108737675625628e+08 4.1632859430887383e+08 4.1058434487282580e+08 4.0379870888604313e+08 3.9597325325636208e+08 3.8717840744116998e+08 3.7755586387520170e+08 3.6732174423159945e+08 3.5674764813012838e+08 3.4610159594493043e+08 3.3563798792604572e+08 3.2557960129854184e+08 3.1608974413853174e+08 3.0727731130270523e+08 2.9919515004041839e+08 2.9186602613502294e+08 2.8527045547167903e+08 2.7938464459802383e+08 2.7415866579547423e+08 2.6955818975969654e+08 2.6552983213881922e+08 2.6202465966232806e+08 2.5900530534118006e+08 2.5642251603926691e+08 2.5422713839500931e+08 2.5238537570712656e+08 2.5084824229591170e+08 2.4958570671714684e+08 2.4855893693798885e+08 2.4773749098588368e+08 2.4707634469204375e+08 2.4652989196465725e+08 2.4606823586920169e+08 2.4566056476164031e+08 2.4527288457225090e+08 2.4499757144216624e+08 2.4471926700617930e+08 2.4443516324957216e+08 2.4413754196136418e+08 2.4383049981849444e+08 2.4350485809206727e+08 2.4317338835447201e+08 2.4280387674848723e+08 2.4240842639231670e+08 2.4197976194089320e+08 2.4151220230545130e+08 2.4099884392967871e+08 2.4043190985035986e+08 2.3979986518470564e+08 2.3910587450305933e+08 2.3832104671067598e+08 2.3744112725580597e+08 2.3645334966756248e+08 2.3534397506575403e+08 2.3409883521672463e+08 2.3270371864650413e+08 2.3114255994587663e+08 2.2941930113288018e+08 2.2750122145668110e+08 2.2539600433390468e+08 2.2310851924430579e+08 2.2065670778940248e+08 2.1807109637646872e+08 2.1540978868347216e+08 2.1275892673950955e+08 2.1026180195616567e+08 2.0809410273112163e+08 2.0653570337296742e+08 2.0597474435416424e+08 2.0697640720284519e+08 2.1036207606079772e+08 2.1737652584995696e+08 2.2999004457779661e+08 2.5152574877527946e+08 7.7579390174240470e+07 +7.1550183394464106e+00 4.3841320430915815e+08 4.3837130720393705e+08 4.3830089537350690e+08 4.3820983042897385e+08 4.3812137665722543e+08 4.3807102527393287e+08 4.3807425133354008e+08 4.3810443462597013e+08 4.3813482529660124e+08 4.3816016846121591e+08 4.3818372541465992e+08 4.3820590169239485e+08 4.3822599246063727e+08 4.3824371638395709e+08 4.3825905170886207e+08 4.3827176647019124e+08 4.3828163688412523e+08 4.3828856384100705e+08 4.3829246150781244e+08 4.3829314634714556e+08 4.3829035700956500e+08 4.3828359827123320e+08 4.3827130233898252e+08 4.3825056245426780e+08 4.3822292946233284e+08 4.3819027442041987e+08 4.3814913422100830e+08 4.3809598856151861e+08 4.3802754758017433e+08 4.3793972200299168e+08 4.3782719458619881e+08 4.3768301142837262e+08 4.3749808397222626e+08 4.3726057145919114e+08 4.3695513537286019e+08 4.3656196175741839e+08 4.3605566322516584e+08 4.3540397795732415e+08 4.3456642439205885e+08 4.3349286458770382e+08 4.3200650964863223e+08 4.3008694790323859e+08 4.2762937651491416e+08 4.2451750074718928e+08 4.2063010436257595e+08 4.1585187524387425e+08 4.1008853328226495e+08 4.0328491716686147e+08 3.9544338905463785e+08 3.8663511858945793e+08 3.7700238362567234e+08 3.6676161872284365e+08 3.5618441309433395e+08 3.4553852890120393e+08 3.3507787612376994e+08 3.2502459660437524e+08 3.1554134487400693e+08 3.0673640941821349e+08 2.9866214235372049e+08 2.9134090928009439e+08 2.8475296836826897e+08 2.7887433214226228e+08 2.7365498675109547e+08 2.6906052487497121e+08 2.6503755967731050e+08 2.6153717170026007e+08 2.5852200124153396e+08 2.5594284474502733e+08 2.5375060491659409e+08 2.5191151709829891e+08 2.5037666610104001e+08 2.4911604900930429e+08 2.4809088514272144e+08 2.4727076493710718e+08 2.4661072432344732e+08 2.4606522304322398e+08 2.4560439668526477e+08 2.4519747444907048e+08 2.4481051760677978e+08 2.4453572176882347e+08 2.4425794141103557e+08 2.4397437315424144e+08 2.4367731303243002e+08 2.4337084987548092e+08 2.4304582302936697e+08 2.4271497592660105e+08 2.4234616109178209e+08 2.4195145640301773e+08 2.4152360022963452e+08 2.4105692219272083e+08 2.4054453174946421e+08 2.3997866659713656e+08 2.3934781440045741e+08 2.3865512977755421e+08 2.3787178166706556e+08 2.3699352115074131e+08 2.3600760582380694e+08 2.3490032270545486e+08 2.3365753027058077e+08 2.3226504383603504e+08 2.3070682905150461e+08 2.2898681666891086e+08 2.2707235298226461e+08 2.2497110462393916e+08 2.2268793189446631e+08 2.2024074257340795e+08 2.1766000552177405e+08 2.1500371488534909e+08 2.1235785101669559e+08 2.0986543168334061e+08 2.0770181901414260e+08 2.0614635760398212e+08 2.0558645692329472e+08 2.0658623169084758e+08 2.0996551796816158e+08 2.1696674448110619e+08 2.2955648606205800e+08 2.5105158989255691e+08 7.7355637581124783e+07 +7.1599866622206685e+00 4.3812980816995215e+08 4.3808793253009349e+08 4.3801756140894049e+08 4.3792653971663886e+08 4.3783811630494964e+08 4.3778775887229544e+08 4.3779093244778192e+08 4.3782103426759768e+08 4.3785133001487052e+08 4.3787656454193193e+08 4.3789999371366119e+08 4.3792201935944921e+08 4.3794193294265491e+08 4.3795944840652615e+08 4.3797453841632754e+08 4.3798696458581567e+08 4.3799649531681615e+08 4.3800302206802297e+08 4.3800644785068327e+08 4.3800657609839499e+08 4.3800313026361442e+08 4.3799559727934831e+08 4.3798238653978497e+08 4.3796055258285809e+08 4.3793159384180212e+08 4.3789735140350121e+08 4.3785433957477510e+08 4.3779899900258374e+08 4.3772798927542603e+08 4.3763716287161601e+08 4.3752113685884660e+08 4.3737288399745840e+08 4.3718323474502081e+08 4.3694026014347899e+08 4.3662852729588574e+08 4.3622812367048287e+08 4.3571356228216892e+08 4.3505248552228475e+08 4.3420432669890517e+08 4.3311888284082264e+08 4.3161829693888921e+08 4.2968301190143502e+08 4.2720833433730334e+08 4.2407819342346680e+08 4.2017173398218030e+08 4.1537415407430124e+08 4.0959182505150640e+08 4.0277034217535049e+08 3.9491286022837824e+08 3.8609128560126567e+08 3.7644847762279004e+08 3.6620117983196121e+08 3.5562096771107811e+08 3.4497534281302410e+08 3.3451772368452817e+08 3.2446961679419380e+08 3.1499302404052782e+08 3.0619562901480758e+08 2.9812929038664412e+08 2.9081597525469387e+08 2.8423568553129280e+08 2.7836424096433818e+08 2.7315154251898289e+08 2.6856310564672923e+08 2.6454554157817671e+08 2.6104994508858865e+08 2.5803896410806251e+08 2.5546344487580022e+08 2.5327434633729106e+08 2.5143793603752598e+08 2.4990536936043814e+08 2.4864667205538282e+08 2.4762311488534769e+08 2.4680432080821636e+08 2.4614538595252740e+08 2.4560083596106991e+08 2.4514083905236354e+08 2.4473466533747306e+08 2.4434843144244799e+08 2.4407415259186777e+08 2.4379689599655613e+08 2.4351386291483849e+08 2.4321736361809325e+08 2.4291147909472239e+08 2.4258706675026682e+08 2.4225684191559118e+08 2.4188872342760348e+08 2.4149476395221424e+08 2.4106771556545621e+08 2.4060191859032395e+08 2.4009049549095798e+08 2.3952569861534560e+08 2.3889603815827477e+08 2.3820465881224862e+08 2.3742278948385870e+08 2.3654618689756975e+08 2.3556213269986013e+08 2.3445693979390258e+08 2.3321649334683043e+08 2.3182663544947442e+08 2.3027136278821069e+08 2.2855459487517208e+08 2.2664374498101768e+08 2.2454646297575471e+08 2.2226759998665059e+08 2.1982502999113834e+08 2.1724916433956105e+08 2.1459788771170130e+08 2.1195701887838942e+08 2.0946930214727578e+08 2.0730977355115426e+08 2.0575724830345231e+08 2.0519840531383026e+08 2.0619629314589462e+08 2.0956920071992531e+08 2.1655721198867306e+08 2.2912319085886729e+08 2.5057771899581906e+08 7.7132420246610016e+07 +7.1649549849949263e+00 4.3784474654579735e+08 4.3780289056869268e+08 4.3773255767640030e+08 4.3764157957447088e+08 4.3755318739996314e+08 4.3750282396909094e+08 4.3750594515855271e+08 4.3753596551575929e+08 4.3756616638464624e+08 4.3759129238209230e+08 4.3761459392772359e+08 4.3763646916024292e+08 4.3765620584728611e+08 4.3767351322155595e+08 4.3768835838477725e+08 4.3770049654096162e+08 4.3770968829824185e+08 4.3771581570638806e+08 4.3771877064577514e+08 4.3771834355183977e+08 4.3771424271582693e+08 4.3770593727080792e+08 4.3769181386084199e+08 4.3766888842550671e+08 4.3763860709887588e+08 4.3760278106023592e+08 4.3755790210832435e+08 4.3750037195513320e+08 4.3742679978500205e+08 4.3733298000109226e+08 4.3721346418479854e+08 4.3706115199508923e+08 4.3686679318569630e+08 4.3661837092438096e+08 4.3630035831604230e+08 4.3589274469547510e+08 4.3536994399132669e+08 4.3469950338785654e+08 4.3384077171993637e+08 4.3274348171100038e+08 4.3122871257900083e+08 4.2927776020634472e+08 4.2678604158919036e+08 4.2363771059628761e+08 4.1971227356367546e+08 4.1489543866202360e+08 4.0909422790855694e+08 4.0225499145239538e+08 3.9438167407690752e+08 3.8554691547977453e+08 3.7589415252678305e+08 3.6564043384373146e+08 3.5505731787190682e+08 3.4441204317913693e+08 3.3395753572996366e+08 3.2391466663887262e+08 3.1444478609195369e+08 3.0565497426578021e+08 2.9759659806805152e+08 2.9029122777739590e+08 2.8371861049909693e+08 2.7785437444864142e+08 2.7264833635250252e+08 2.6806593521621650e+08 2.6405378088805613e+08 2.6056298279380292e+08 2.5755619684048194e+08 2.5498431927474591e+08 2.5279836545411828e+08 2.5096463528431809e+08 2.4943435480258235e+08 2.4817757856063521e+08 2.4715562885178176e+08 2.4633816127199876e+08 2.4568033224165693e+08 2.4513673337253734e+08 2.4467756561939237e+08 2.4427214007038689e+08 2.4388662871903059e+08 2.4361286654737881e+08 2.4333613339650965e+08 2.4305363516196245e+08 2.4275769634582776e+08 2.4245239010002199e+08 2.4212859187507054e+08 2.4179898893826789e+08 2.4143156636916524e+08 2.4103835164907083e+08 2.4061211055199856e+08 2.4014719409752756e+08 2.3963673774731356e+08 2.3907300849215496e+08 2.3844453903859454e+08 2.3775446418021557e+08 2.3697407272580206e+08 2.3609912705132970e+08 2.3511693284046745e+08 2.3401382886358938e+08 2.3277572696426290e+08 2.3138849599085936e+08 2.2983616364324453e+08 2.2812263822045311e+08 2.2621539990109706e+08 2.2412208181510437e+08 2.2184752592150959e+08 2.1940957241720957e+08 2.1683857517650601e+08 2.1419230948075047e+08 2.1155643261425206e+08 2.0907341561034906e+08 2.0691796858121392e+08 2.0536837769418427e+08 2.0481059174217373e+08 2.0580659379532909e+08 2.0917312657994640e+08 2.1614793071190590e+08 2.2869016144333842e+08 2.5010413879185817e+08 7.6909737409353942e+07 +7.1699233077691842e+00 4.3755801980341482e+08 4.3751618828789347e+08 4.3744589213710964e+08 4.3735495775629276e+08 4.3726659749702328e+08 4.3721622818113506e+08 4.3721929706446505e+08 4.3724923597513312e+08 4.3727934201096284e+08 4.3730435958741438e+08 4.3732753366499037e+08 4.3734925870363277e+08 4.3736881878409284e+08 4.3738591844115865e+08 4.3740051922653395e+08 4.3741236995072871e+08 4.3742122344583011e+08 4.3742695237485331e+08 4.3742943751428002e+08 4.3742845633171982e+08 4.3742370199388808e+08 4.3741462587773842e+08 4.3739959193919915e+08 4.3737557762389165e+08 4.3734397688248950e+08 4.3730657104835254e+08 4.3725982948781645e+08 4.3720011509620750e+08 4.3712398679882276e+08 4.3702718109529907e+08 4.3690418428390056e+08 4.3674782316074842e+08 4.3654876705415177e+08 4.3629491158542436e+08 4.3597063624228674e+08 4.3555583266959107e+08 4.3502481621914434e+08 4.3434503945145148e+08 4.3347576738306129e+08 4.3236666915534931e+08 4.3083776455112618e+08 4.2887120081648445e+08 4.2636250627065486e+08 4.2319606024577075e+08 4.1925173103745294e+08 4.1441573684914565e+08 4.0859574956110162e+08 4.0173887251856107e+08 3.9384983787721616e+08 3.8500201520477104e+08 3.7533941497514784e+08 3.6507938701934940e+08 3.5449346944558120e+08 3.4384863547623271e+08 3.3339731735955471e+08 3.2335975088764870e+08 3.1389663546117806e+08 3.0511444932462937e+08 2.9706406930816799e+08 2.8976667054834926e+08 2.8320174679163802e+08 2.7734473596191090e+08 2.7214537148731089e+08 2.6756901670857483e+08 2.6356228063734645e+08 2.6007628776696035e+08 2.5707370232233933e+08 2.5450547076991966e+08 2.5232266504879397e+08 2.5049161758234680e+08 2.4896362514146262e+08 2.4770877121461761e+08 2.4668842971381581e+08 2.4587228898578575e+08 2.4521556583814192e+08 2.4467291791775605e+08 2.4421457902057186e+08 2.4380990127747601e+08 2.4342511206116256e+08 2.4315186625784647e+08 2.4287565622996157e+08 2.4259369251176322e+08 2.4229831382833716e+08 2.4199358550087547e+08 2.4167040100978696e+08 2.4134141959713799e+08 2.4097469251451159e+08 2.4058222208733994e+08 2.4015678777905929e+08 2.3969275129869020e+08 2.3918326109794155e+08 2.3862059880072767e+08 2.3799331960777169e+08 2.3730454844017872e+08 2.3652563394325587e+08 2.3565234415349945e+08 2.3467200877621657e+08 2.3357099243353787e+08 2.3233523362839797e+08 2.3095062795081264e+08 2.2940123409050626e+08 2.2769094916014186e+08 2.2578732017732134e+08 2.2369796355384579e+08 2.2142771208689326e+08 2.1899437221301517e+08 2.1642824036651856e+08 2.1378698249782151e+08 2.1115609450092232e+08 2.0867777432300645e+08 2.0652640633130112e+08 2.0497974798625889e+08 2.0442301841282573e+08 2.0541713585445255e+08 2.0877729779949260e+08 2.1573890297725004e+08 2.2825740027668339e+08 2.4963085197228739e+08 7.6687588306369916e+07 +7.1748916305434420e+00 4.3726963601306355e+08 4.3722783130467594e+08 4.3715757271962678e+08 4.3706668207110679e+08 4.3697835405050403e+08 4.3692797910991859e+08 4.3693099575553066e+08 4.3696085324440992e+08 4.3699086449077052e+08 4.3701577375750607e+08 4.3703882052519935e+08 4.3706039559046400e+08 4.3707977935573441e+08 4.3709667166817850e+08 4.3711102854720491e+08 4.3712259242127448e+08 4.3713110836779279e+08 4.3713643968421006e+08 4.3713845607054079e+08 4.3713692205556130e+08 4.3713151571832985e+08 4.3712167072551930e+08 4.3710572840439320e+08 4.3708062781389838e+08 4.3704771083440226e+08 4.3700872901648837e+08 4.3696012937233323e+08 4.3689823609542990e+08 4.3681955799818301e+08 4.3671977385013402e+08 4.3659330486835736e+08 4.3643290522456318e+08 4.3622916410120356e+08 4.3596988990075552e+08 4.3563936887468952e+08 4.3521739541942316e+08 4.3467818682181227e+08 4.3398910159946030e+08 4.3310932160419184e+08 4.3198845311670280e+08 4.3044546082326496e+08 4.2846334171545845e+08 4.2593773636627865e+08 4.2275325033520198e+08 4.1879011431568301e+08 4.1393505645863831e+08 4.0809639769570148e+08 4.0122199287180400e+08 3.9331735888273370e+08 3.8445659173226261e+08 3.7478427158047712e+08 3.6451804559575677e+08 3.5392942827723908e+08 3.4328512515704960e+08 3.3283707364984441e+08 3.2280487426783895e+08 3.1334857656072485e+08 3.0457405832459319e+08 2.9653170799689966e+08 2.8924230724860799e+08 2.8268509791125417e+08 2.7683532885280764e+08 2.7164265114231598e+08 2.6707235323139718e+08 2.6307104384044197e+08 2.5958986294304180e+08 2.5659148342204532e+08 2.5402690217363816e+08 2.5184724788788223e+08 2.5001888566065860e+08 2.4849318307561702e+08 2.4724025269255668e+08 2.4622152012800243e+08 2.4540670659275723e+08 2.4475108937487578e+08 2.4420939222182593e+08 2.4375188187514675e+08 2.4334795157287863e+08 2.4296388407955527e+08 2.4269115433021614e+08 2.4241546710116461e+08 2.4213403756523252e+08 2.4183921866365227e+08 2.4153506789235383e+08 2.4121249674611080e+08 2.4088413647986168e+08 2.4051810444783327e+08 2.4012637784709728e+08 2.3970174982186326e+08 2.3923859276405147e+08 2.3873006810750106e+08 2.3816847210007551e+08 2.3754238241802248e+08 2.3685491413674498e+08 2.3607747567257982e+08 2.3520584073078129e+08 2.3422736302316481e+08 2.3312843300803775e+08 2.3189501583073252e+08 2.3051303380558640e+08 2.2896657658972463e+08 2.2725953013551190e+08 2.2535950823062956e+08 2.2327411059100792e+08 2.2100816085720885e+08 2.1857943172705469e+08 2.1601816223022297e+08 2.1338190905514699e+08 2.1075600680295724e+08 2.0828238052293786e+08 2.0613508901619211e+08 2.0459136137783307e+08 2.0403568751772144e+08 2.0502792152585357e+08 2.0838171661715889e+08 2.1533013109781593e+08 2.2782490980690980e+08 2.4915786121408823e+08 7.6465972173046187e+07 +7.1798599533176999e+00 4.3697960718602663e+08 4.3693782662682492e+08 4.3686760568762439e+08 4.3677676011203384e+08 4.3668846450743020e+08 4.3663808434056991e+08 4.3664104881633419e+08 4.3667082491376376e+08 4.3670074141522545e+08 4.3672554248335469e+08 4.3674846210161340e+08 4.3676988741430289e+08 4.3678909515716624e+08 4.3680578049994326e+08 4.3681989394522256e+08 4.3683117155315363e+08 4.3683935066701823e+08 4.3684428523964143e+08 4.3684583392066640e+08 4.3684374833261281e+08 4.3683769150236708e+08 4.3682707943047303e+08 4.3681023087786037e+08 4.3678404662187225e+08 4.3674981658819008e+08 4.3670926260693699e+08 4.3665880941228837e+08 4.3659474261418760e+08 4.3651352105716515e+08 4.3641076595341164e+08 4.3628083364180344e+08 4.3611640590863335e+08 4.3590799206963378e+08 4.3564331363546598e+08 4.3530656400187582e+08 4.3487744076228887e+08 4.3433006364451349e+08 4.3363169770581251e+08 4.3274144228715354e+08 4.3160884152662736e+08 4.3005180935107028e+08 4.2805419087277716e+08 4.2551173984467626e+08 4.2230928881099355e+08 4.1832743129213434e+08 4.1345340529331923e+08 4.0759617997847331e+08 4.0070435998882568e+08 3.9278424432558990e+08 3.8391065199641770e+08 3.7422872893295133e+08 3.6395641578725630e+08 3.5336520018817818e+08 3.4272151765199047e+08 3.3227680965573943e+08 3.2225004148582053e+08 3.1280061378162748e+08 3.0403380537896156e+08 2.9599951800605440e+08 2.8871814154128116e+08 2.8216866734158391e+08 2.7632615645338464e+08 2.7114017851949310e+08 2.6657594787694278e+08 2.6258007349547461e+08 2.5910371124073642e+08 2.5610954299199918e+08 2.5354861628310305e+08 2.5137211672223482e+08 2.4954644223291427e+08 2.4802303128884220e+08 2.4677202565420425e+08 2.4575490273618832e+08 2.4494141672124460e+08 2.4428690546998700e+08 2.4374615889536560e+08 2.4328947678769380e+08 2.4288629355716226e+08 2.4250294736968437e+08 2.4223073335740599e+08 2.4195556860020113e+08 2.4167467290955877e+08 2.4138041343543714e+08 2.4107683985468361e+08 2.4075488166083482e+08 2.4042714216030928e+08 2.4006180473888028e+08 2.3967082149358872e+08 2.3924699924111217e+08 2.3878472104964599e+08 2.3827716132656902e+08 2.3771663093432447e+08 2.3709173000703847e+08 2.3640556380062291e+08 2.3562960043596628e+08 2.3475961929594213e+08 2.3378299808400610e+08 2.3268615307775161e+08 2.3145507604856703e+08 2.3007571601815414e+08 2.2853219358710253e+08 2.2682838357482010e+08 2.2493196646890113e+08 2.2285052531171548e+08 2.2058887459351769e+08 2.1816475329413754e+08 2.1560834307567170e+08 2.1297709143255231e+08 2.1035617177186581e+08 2.0788723643518993e+08 2.0574401883822691e+08 2.0420322005466050e+08 2.0364860123680708e+08 2.0463895299984890e+08 2.0798638525955343e+08 2.1492161737440896e+08 2.2739269246765995e+08 2.4868516917905012e+08 7.6244888243164584e+07 +7.1848282760919577e+00 4.3668793984457725e+08 4.3664618036986190e+08 4.3657599759364063e+08 4.3648519943140757e+08 4.3639693639617139e+08 4.3634655143893838e+08 4.3634946382324266e+08 4.3637915856666857e+08 4.3640898036649501e+08 4.3643367334907633e+08 4.3645646597913516e+08 4.3647774176120907e+08 4.3649677377601218e+08 4.3651325252508116e+08 4.3652712301062351e+08 4.3653811493827164e+08 4.3654595793701255e+08 4.3655049663616037e+08 4.3655157866416162e+08 4.3654894276489031e+08 4.3654223695162618e+08 4.3653085960202640e+08 4.3651310697365785e+08 4.3648584166772300e+08 4.3645030176991165e+08 4.3640817945323396e+08 4.3635587725063616e+08 4.3628964230561060e+08 4.3620588364086860e+08 4.3610016508395636e+08 4.3596677829902005e+08 4.3579833292515314e+08 4.3558525869117719e+08 4.3531519054347807e+08 4.3497222940477878e+08 4.3453597650392807e+08 4.3398045452201825e+08 4.3327283563485110e+08 4.3237213732387650e+08 4.3122784230311036e+08 4.2965681807508296e+08 4.2764375624318475e+08 4.2508452465914237e+08 4.2186418360228193e+08 4.1786368984262198e+08 4.1297079113750780e+08 4.0709510405628043e+08 4.0018598132450926e+08 3.9225050141444468e+08 3.8336420290658247e+08 3.7367279359870148e+08 3.6339450378365982e+08 3.5280079097684973e+08 3.4215781836836338e+08 3.3171653040959209e+08 3.2169525722605479e+08 3.1225275149460649e+08 3.0349369458131874e+08 2.9546750318745178e+08 2.8819417706999952e+08 2.8165245854916066e+08 2.7581722207794052e+08 2.7063795680376399e+08 2.6607980371980420e+08 2.6208937258414492e+08 2.5861783556342417e+08 2.5562788386917517e+08 2.5307061588015714e+08 2.5089727428812048e+08 2.4907428999809116e+08 2.4755317244971362e+08 2.4630409274489516e+08 2.4528858016536257e+08 2.4447642198446167e+08 2.4382301672702467e+08 2.4328322053427103e+08 2.4282736634869590e+08 2.4242492981536901e+08 2.4204230451296493e+08 2.4177060591804647e+08 2.4149596330214536e+08 2.4121560111681458e+08 2.4092190071316984e+08 2.4061890395395449e+08 2.4029755831661054e+08 2.3997043919724840e+08 2.3960579594271669e+08 2.3921555557779759e+08 2.3879253858366275e+08 2.3833113869719803e+08 2.3782454329130933e+08 2.3726507783412325e+08 2.3664136489846483e+08 2.3595649994784996e+08 2.3518201074127138e+08 2.3431368234784085e+08 2.3333891644699079e+08 2.3224415511942315e+08 2.3101541674550271e+08 2.2963867703743371e+08 2.2809808751535463e+08 2.2639751189226922e+08 2.2450469728608122e+08 2.2242721008816022e+08 2.2016985564380908e+08 2.1775033923684892e+08 2.1519878519757822e+08 2.1257253189715973e+08 2.0995659164673108e+08 2.0749234427266237e+08 2.0535319798693791e+08 2.0381532619026953e+08 2.0326176173755527e+08 2.0425023245472321e+08 2.0759130594009274e+08 2.1451336409449410e+08 2.2696075067955774e+08 2.4821277851408240e+08 7.6024335748920068e+07 +7.1897965988662156e+00 4.3639463842162895e+08 4.3635290207050413e+08 4.3628275943642855e+08 4.3619200732180005e+08 4.3610377733040297e+08 4.3605338795753795e+08 4.3605624834819919e+08 4.3608586177879584e+08 4.3611558892007881e+08 4.3614017393070519e+08 4.3616283973612666e+08 4.3618396621047837e+08 4.3620282279221708e+08 4.3621909532512957e+08 4.3623272332660294e+08 4.3624343016168469e+08 4.3625093776443315e+08 4.3625508146417338e+08 4.3625569789226127e+08 4.3625251294707817e+08 4.3624515966347325e+08 4.3623301884215987e+08 4.3621436429802442e+08 4.3618602056293929e+08 4.3614917399753505e+08 4.3610548718105644e+08 4.3605134052179319e+08 4.3598294281463903e+08 4.3589665340597546e+08 4.3578797891240120e+08 4.3565114652624524e+08 4.3547869397782779e+08 4.3526097169029593e+08 4.3498552837151021e+08 4.3463637285223389e+08 4.3419301044017178e+08 4.3362936727765441e+08 4.3291252323802269e+08 4.3200141459453595e+08 4.3084546335179698e+08 4.2926049492331767e+08 4.2723204576660210e+08 4.2465609874630153e+08 4.2141794262168008e+08 4.1739889782511812e+08 4.1248722175606656e+08 4.0659317755334753e+08 3.9966686431240684e+08 3.9171613733570421e+08 3.8281725134962982e+08 3.7311647211998534e+08 3.6283231575119692e+08 3.5223620641763556e+08 3.4159403269031233e+08 3.3115624092089278e+08 3.2114052615108138e+08 3.1170499404966724e+08 3.0295373000467676e+08 2.9493566737397611e+08 2.8767041746084672e+08 2.8113647498221707e+08 2.7530852902343822e+08 2.7013598916349024e+08 2.6558392381894442e+08 2.6159894407249928e+08 2.5813223879835969e+08 2.5514650887496346e+08 2.5259290373079318e+08 2.5042272330654511e+08 2.4860243163960174e+08 2.4708360921235615e+08 2.4583645659526876e+08 2.4482255502815637e+08 2.4401172498153794e+08 2.4335942573454601e+08 2.4282057972003502e+08 2.4236555313390160e+08 2.4196386291881457e+08 2.4158195807607982e+08 2.4131077457563207e+08 2.4103665376807028e+08 2.4075682474516046e+08 2.4046368305171886e+08 2.4016126274192467e+08 2.3984052926185161e+08 2.3951403013552734e+08 2.3915008059983981e+08 2.3876058263693061e+08 2.3833837038159552e+08 2.3787784823393431e+08 2.3737221652363384e+08 2.3681381531520030e+08 2.3619128960191983e+08 2.3550772508063963e+08 2.3473470908267650e+08 2.3386803237119544e+08 2.3289512058666471e+08 2.3180244159590563e+08 2.3057604037122747e+08 2.2920191929838675e+08 2.2766426079332575e+08 2.2596691748844731e+08 2.2407770306292644e+08 2.2200416727903467e+08 2.1975110634291372e+08 2.1733619186399445e+08 2.1478949087820148e+08 2.1216823270279524e+08 2.0955726865419495e+08 2.0709770623532051e+08 2.0496262864049935e+08 2.0342768194601202e+08 2.0287517117566121e+08 2.0386176205655682e+08 2.0719648086054850e+08 2.1410537353290129e+08 2.2652908684930620e+08 2.4774069185142818e+08 7.5804313920939147e+07 +7.1947649216404734e+00 4.3609971214920598e+08 4.3605800147224510e+08 4.3598789917801780e+08 4.3589719104040921e+08 4.3580899494423109e+08 4.3575860144080240e+08 4.3576140995637876e+08 4.3579094211806029e+08 4.3582057464386475e+08 4.3584505179769939e+08 4.3586759094280899e+08 4.3588856833280325e+08 4.3590724977832419e+08 4.3592331647427869e+08 4.3593670246856242e+08 4.3594712480032104e+08 4.3595429772898459e+08 4.3595804730378050e+08 4.3595819918857026e+08 4.3595446646542352e+08 4.3594646722810441e+08 4.3593356474460751e+08 4.3591401044909400e+08 4.3588459091118211e+08 4.3584644088096875e+08 4.3580119340761608e+08 4.3574520685216546e+08 4.3567465177759302e+08 4.3558583800087214e+08 4.3547421509999567e+08 4.3533394600006360e+08 4.3515749676160651e+08 4.3493513878028721e+08 4.3465433485484260e+08 4.3429900210397917e+08 4.3384855035643595e+08 4.3327680972368664e+08 4.3255076835564524e+08 4.3162928196591163e+08 4.3046171256486297e+08 4.2886284780928481e+08 4.2681906736787212e+08 4.2422647002771157e+08 4.2097057376442170e+08 4.1693306307877982e+08 4.1200270489402592e+08 4.0609040807433683e+08 3.9914701636368650e+08 3.9118115925297940e+08 3.8226980418916595e+08 3.7255977101589078e+08 3.6226985783299285e+08 3.5167145226219219e+08 3.4103016597928482e+08 3.3059594617756832e+08 3.2058585290275592e+08 3.1115734577591217e+08 3.0241391570289886e+08 2.9440401437920052e+08 2.8714686632060665e+08 2.8062072007127392e+08 2.7480008056949598e+08 2.6963427874963558e+08 2.6508831121648407e+08 2.6110879091022554e+08 2.5764692381709358e+08 2.5466542081531027e+08 2.5211548258631086e+08 2.4994846648290172e+08 2.4813086982642218e+08 2.4661434421595353e+08 2.4536911982094902e+08 2.4435682992230061e+08 2.4354732829686129e+08 2.4289613506731305e+08 2.4235823901960310e+08 2.4190403970432320e+08 2.4150309542382094e+08 2.4112191061140749e+08 2.4085124187967223e+08 2.4057764254435685e+08 2.4029834633818966e+08 2.4000576299132696e+08 2.3970391875572020e+08 2.3938379703029126e+08 2.3905791750546157e+08 2.3869466123745415e+08 2.3830590519280308e+08 2.3788449715284428e+08 2.3742485217299631e+08 2.3692018353148514e+08 2.3636284587963766e+08 2.3574150661267596e+08 2.3505924168704030e+08 2.3428769793992493e+08 2.3342267183672833e+08 2.3245161296338916e+08 2.3136101495616060e+08 2.3013694936195692e+08 2.2876544522263560e+08 2.2723071582609272e+08 2.2553660275096241e+08 2.2365098616690624e+08 2.2158139922961491e+08 2.1933262901233095e+08 2.1692231347170961e+08 2.1438046238660610e+08 2.1176419609130639e+08 2.0915820500799233e+08 2.0670332451145196e+08 2.0457231296380925e+08 2.0304028947088423e+08 2.0248883169438252e+08 2.0347354395876878e+08 2.0680191220964137e+08 2.1369764795156932e+08 2.2609770337022179e+08 2.4726891180805698e+08 7.5584821988298878e+07 +7.1997332444147313e+00 4.3580317199229032e+08 4.3576148562012112e+08 4.3569142194391495e+08 4.3560075843019062e+08 4.3551259682714772e+08 4.3546219943201637e+08 4.3546495620732713e+08 4.3549440714465868e+08 4.3552394509858412e+08 4.3554831451106161e+08 4.3557072716196549e+08 4.3559155569165069e+08 4.3561006229899061e+08 4.3562592353847849e+08 4.3563906800421625e+08 4.3564920642354912e+08 4.3565604540121138e+08 4.3565940172887230e+08 4.3565909012843442e+08 4.3565481089874703e+08 4.3564616722687441e+08 4.3563250489454675e+08 4.3561205301780874e+08 4.3558156030755037e+08 4.3554211002180594e+08 4.3549530574257737e+08 4.3543748385970449e+08 4.3536477682287127e+08 4.3527344506562334e+08 4.3515888130018085e+08 4.3501518438891202e+08 4.3483474896113193e+08 4.3460776766595852e+08 4.3432161771950299e+08 4.3396012490998977e+08 4.3350260402791202e+08 4.3292278966178352e+08 4.3218757881635231e+08 4.3125574729384458e+08 4.3007659782197225e+08 4.2846388463246781e+08 4.2640482895720977e+08 4.2379564640855813e+08 4.2052208490861076e+08 4.1646619342497903e+08 4.1151724827649111e+08 4.0558680320348173e+08 3.9862644486834443e+08 3.9064557430784214e+08 3.8172186826574963e+08 3.7200269678185308e+08 3.6170713614786798e+08 3.5110653423832244e+08 3.4046622357395750e+08 3.3003565114518893e+08 3.2003124210117328e+08 3.1060981098181087e+08 3.0187425570911580e+08 2.9387254799776214e+08 2.8662352723833638e+08 2.8010519722879004e+08 2.7429187997863507e+08 2.6913282869704312e+08 2.6459296893834841e+08 2.6061891603087994e+08 2.5716189347563139e+08 2.5418462248049453e+08 2.5163835518254066e+08 2.4947450650808054e+08 2.4765960721245849e+08 2.4614538008466697e+08 2.4490208502286574e+08 2.4389140743090168e+08 2.4308323449987006e+08 2.4243314728469089e+08 2.4189620098524606e+08 2.4144282860674316e+08 2.4104262987252352e+08 2.4066216465682155e+08 2.4039201036508134e+08 2.4011893216334519e+08 2.3984016842489228e+08 2.3954814305813894e+08 2.3924687451848716e+08 2.3892736414150161e+08 2.3860210382340902e+08 2.3823954036735883e+08 2.3785152575412437e+08 2.3743092140126094e+08 2.3697215301329583e+08 2.3646844680825508e+08 2.3591217201521716e+08 2.3529201841177654e+08 2.3461105224115705e+08 2.3384097977900368e+08 2.3297760320122364e+08 2.3200839602374572e+08 2.3091987763526994e+08 2.2969814613981086e+08 2.2832925721787983e+08 2.2679745500533077e+08 2.2510657005335176e+08 2.2322454895181429e+08 2.2115890827207804e+08 2.1891442596060368e+08 2.1650870634311584e+08 2.1397170197918645e+08 2.1136042429148155e+08 2.0875940290969449e+08 2.0630920127635646e+08 2.0418225311015600e+08 2.0265315090209615e+08 2.0210274542473850e+08 2.0308558030343404e+08 2.0640760216416836e+08 2.1329018959983623e+08 2.2566660262204048e+08 2.4679744098683974e+08 7.5365859178545862e+07 +7.2047015671889891e+00 4.3550501999887866e+08 4.3546335766799724e+08 4.3539333459985137e+08 4.3530271749281538e+08 4.3521459050919938e+08 4.3516418947764784e+08 4.3516689465501928e+08 4.3519626441038871e+08 4.3522570783605343e+08 4.3524996962421161e+08 4.3527225594878614e+08 4.3529293584281826e+08 4.3531126791097361e+08 4.3532692407636851e+08 4.3533982749282420e+08 4.3534968259262222e+08 4.3535618834414846e+08 4.3535915230480534e+08 4.3535837828075004e+08 4.3535355381742185e+08 4.3534426723437095e+08 4.3532984687083220e+08 4.3530849958567095e+08 4.3527693633991605e+08 4.3523618901378727e+08 4.3518783178629154e+08 4.3512817915440553e+08 4.3505332556936103e+08 4.3495948223037338e+08 4.3484198515734631e+08 4.3469486935210025e+08 4.3451045825268948e+08 4.3427886604257393e+08 4.3398738468154246e+08 4.3361974900842249e+08 4.3315517921798015e+08 4.3256731488208318e+08 4.3182296243706757e+08 4.3088081842062533e+08 4.2969012698874408e+08 4.2806361327925068e+08 4.2598933843040162e+08 4.2336363577815711e+08 4.2007248391523856e+08 4.1599829666610843e+08 4.1103085961009359e+08 4.0508237050333834e+08 3.9810515719436121e+08 3.9010938961840498e+08 3.8117345039627713e+08 3.7144525588967764e+08 3.6114415679191512e+08 3.5054145805054539e+08 3.3990221078998417e+08 3.2947536076731557e+08 3.1947669834436220e+08 3.1006239395541281e+08 3.0133475403751707e+08 2.9334127200514948e+08 2.8610040378428286e+08 2.7958990984971696e+08 2.7378393049588299e+08 2.6863164212327564e+08 2.6409789999409392e+08 2.6012932235248077e+08 2.5667715061401954e+08 2.5370411664554325e+08 2.5116152424004856e+08 2.4900084605750728e+08 2.4718864643631494e+08 2.4567671942808604e+08 2.4443535478732944e+08 2.4342629012232736e+08 2.4261944614581084e+08 2.4197046493222979e+08 2.4143446815493533e+08 2.4098192237345532e+08 2.4058246879252931e+08 2.4020272273580414e+08 2.3993308255271217e+08 2.3966052514264438e+08 2.3938229352013412e+08 2.3909082576385251e+08 2.3879013253850088e+08 2.3847123310099155e+08 2.3814659159079203e+08 2.3778472048786920e+08 2.3739744681429747e+08 2.3697764561633393e+08 2.3651975323961610e+08 2.3601700883386439e+08 2.3546179619523427e+08 2.3484282746667627e+08 2.3416315920298356e+08 2.3339455705174524e+08 2.3253282890762222e+08 2.3156547220048109e+08 2.3047903205444813e+08 2.2925963311331779e+08 2.2789335767832664e+08 2.2636448070940498e+08 2.2467682175607997e+08 2.2279839375836509e+08 2.2073669672558263e+08 2.1849649948310170e+08 2.1609537274877313e+08 2.1356321189953205e+08 2.1095691951937127e+08 2.0836086454823655e+08 2.0591533869354376e+08 2.0379245122056380e+08 2.0226626836449277e+08 2.0171691448614097e+08 2.0269787321973273e+08 2.0601355288840398e+08 2.1288300071400234e+08 2.2523578697079402e+08 2.4632628197536808e+08 7.5147424717714369e+07 +7.2096698899632470e+00 4.3520526758709311e+08 4.3516362596413308e+08 4.3509364501428670e+08 4.3500307582090729e+08 4.3491498349092710e+08 4.3486457912779164e+08 4.3486723284609926e+08 4.3489652145918173e+08 4.3492587040104681e+08 4.3495002468297613e+08 4.3497218484977543e+08 4.3499271633413696e+08 4.3501087416350520e+08 4.3502632563781339e+08 4.3503898848668712e+08 4.3504856086091888e+08 4.3505473411406296e+08 4.3505730658863950e+08 4.3505607120458573e+08 4.3505070278437501e+08 4.3504077481651008e+08 4.3502559824243671e+08 4.3500335772687769e+08 4.3497072658697128e+08 4.3492868544234008e+08 4.3487877913189453e+08 4.3481730033633101e+08 4.3474030562904322e+08 4.3464395711785060e+08 4.3452353430572885e+08 4.3437300853914595e+08 4.3418463230303591e+08 4.3394844159508669e+08 4.3365164344670558e+08 4.3327788212892365e+08 4.3280628368029487e+08 4.3221039316341293e+08 4.3145692702254498e+08 4.3050450317737424e+08 4.2930230791892636e+08 4.2766204162011480e+08 4.2557260366661191e+08 4.2293044600935453e+08 4.1962177862799448e+08 4.1552938058676404e+08 4.1054354658087105e+08 4.0457711751615173e+08 3.9758316068775678e+08 3.8957261228056496e+08 3.8062455737465709e+08 3.7088745478716618e+08 3.6058092583681136e+08 3.4997622938093686e+08 3.3933813292012382e+08 3.2891507996476310e+08 3.1892222620989496e+08 3.0951509896407217e+08 3.0079541468210644e+08 2.9281019015776998e+08 2.8557749951065528e+08 2.7907486131088734e+08 2.7327623534926766e+08 2.6813072212937179e+08 2.6360310737679330e+08 2.5964001277639899e+08 2.5619269805671611e+08 2.5322390606987184e+08 2.5068499246409467e+08 2.4852748779211673e+08 2.4671799012241262e+08 2.4520836484062043e+08 2.4396893168625334e+08 2.4296148055052501e+08 2.4215596577549002e+08 2.4150809054054949e+08 2.4097304305214599e+08 2.4052132352230403e+08 2.4012261469715443e+08 2.3974358735752791e+08 2.3947446094871166e+08 2.3920242398579374e+08 2.3892472412445906e+08 2.3863381360629287e+08 2.3833369531033346e+08 2.3801540639952224e+08 2.3769138329565865e+08 2.3733020408270967e+08 2.3694367085360992e+08 2.3652467227354687e+08 2.3606765532262778e+08 2.3556587207321182e+08 2.3501172087973621e+08 2.3439393623043522e+08 2.3371556501846039e+08 2.3294843219610658e+08 2.3208835138489261e+08 2.3112284391234678e+08 2.3003848062134168e+08 2.2882141267717728e+08 2.2745774898466712e+08 2.2593179530254063e+08 2.2424736020593798e+08 2.2237252291373789e+08 2.2031476689564526e+08 2.1807885186234358e+08 2.1568231494551918e+08 2.1315499437864691e+08 2.1055368397869560e+08 2.0796259210004738e+08 2.0552173891379088e+08 2.0340290942353535e+08 2.0187964397090924e+08 2.0133134098578617e+08 2.0231042482494444e+08 2.0561976653405631e+08 2.1247608351790705e+08 2.2480525876962143e+08 2.4585543734662187e+08 7.4929517830345303e+07 +7.2146382127375048e+00 4.3490392078899950e+08 4.3486230366243482e+08 4.3479236092142886e+08 4.3470184085630506e+08 4.3461378328099674e+08 4.3456337593287235e+08 4.3456597832089031e+08 4.3459518582614368e+08 4.3462444033075696e+08 4.3464848722494209e+08 4.3467052140420884e+08 4.3469090470519185e+08 4.3470888859754759e+08 4.3472413576578748e+08 4.3473655852998608e+08 4.3474584877404219e+08 4.3475169025722647e+08 4.3475387213024729e+08 4.3475217645226061e+08 4.3474626535440010e+08 4.3473569753063375e+08 4.3471976657078737e+08 4.3469663500705069e+08 4.3466293861963719e+08 4.3461960688398647e+08 4.3456815536313850e+08 4.3450485499899483e+08 4.3442572460314924e+08 4.3432687734132296e+08 4.3420353637243515e+08 4.3404960959091765e+08 4.3385727876914674e+08 4.3361650199895674e+08 4.3331440171136779e+08 4.3293453198988801e+08 4.3245592515705216e+08 4.3185203227308726e+08 4.3108948036646712e+08 4.3012680938103855e+08 4.2891314845211917e+08 4.2725917751397371e+08 4.2515463253208458e+08 4.2249608495943135e+08 4.1916997687394941e+08 4.1505945295265335e+08 4.1005531685560292e+08 4.0407105176389575e+08 3.9706046267353451e+08 3.8903524936800528e+08 3.8007519597143477e+08 3.7032929989970982e+08 3.6001744933109611e+08 3.4941085388711762e+08 3.3877399523462200e+08 3.2835481363694757e+08 3.1836783025380957e+08 3.0896793025461596e+08 3.0025624161702514e+08 2.9227930619332641e+08 2.8505481795089686e+08 2.7856005497207248e+08 2.7276879774939662e+08 2.6763007179961240e+08 2.6310859406321058e+08 2.5915099018877488e+08 2.5570853861255339e+08 2.5274399349787492e+08 2.5020876254518974e+08 2.4805443435726029e+08 2.4624764087979746e+08 2.4474031890282327e+08 2.4350281827656770e+08 2.4249698125500649e+08 2.4169279591494155e+08 2.4104602662609300e+08 2.4051192818584010e+08 2.4006103455676568e+08 2.3966307008539057e+08 2.3928476101689214e+08 2.3901614804503560e+08 2.3874463118187311e+08 2.3846746272426167e+08 2.3817710906844124e+08 2.3787756531415585e+08 2.3755988651413810e+08 2.3723648141093212e+08 2.3687599362136248e+08 2.3649020033747903e+08 2.3607200383421075e+08 2.3561586171864066e+08 2.3511503897788295e+08 2.3456194851397642e+08 2.3394534714200279e+08 2.3326827211958557e+08 2.3250260763630959e+08 2.3164417304819670e+08 2.3068051356479478e+08 2.2959822572961187e+08 2.2838348721264833e+08 2.2702243350333109e+08 2.2549940113620010e+08 2.2381818773658651e+08 2.2194693873192123e+08 2.1989312107489070e+08 2.1766148536743671e+08 2.1526953517779371e+08 2.1274705163443020e+08 2.1015071986055949e+08 2.0756458772918177e+08 2.0512840407566300e+08 2.0301362983602619e+08 2.0149327982204354e+08 2.0094602701832852e+08 2.0192323722453216e+08 2.0522624524121279e+08 2.1206944022249329e+08 2.2437502035746750e+08 2.4538490965909636e+08 7.4712137739504531e+07 +7.2196065355117627e+00 4.3460098555370176e+08 4.3455939516132289e+08 4.3448949147633189e+08 4.3439901990591866e+08 4.3431099741171509e+08 4.3426058743805826e+08 4.3426313861104727e+08 4.3429226503868902e+08 4.3432142515336031e+08 4.3434536477950823e+08 4.3436727314285523e+08 4.3438750848772490e+08 4.3440531874596208e+08 4.3442036199442512e+08 4.3443254515773749e+08 4.3444155386950487e+08 4.3444706431329048e+08 4.3444885647072732e+08 4.3444670156681836e+08 4.3444024907346618e+08 4.3442904292656046e+08 4.3441235940935475e+08 4.3438833898415846e+08 4.3435358000070941e+08 4.3430896090726650e+08 4.3425596805565572e+08 4.3419085072556311e+08 4.3410959008503705e+08 4.3400825050524539e+08 4.3388199897366786e+08 4.3372468013863087e+08 4.3352840529840690e+08 4.3328305492009979e+08 4.3297566716156268e+08 4.3258970629837298e+08 4.3210411137961447e+08 4.3149223996827519e+08 4.3072063024966586e+08 4.2974774483738297e+08 4.2852265641478783e+08 4.2685502880368555e+08 4.2473543287615770e+08 4.2206056046940571e+08 4.1871708646173030e+08 4.1458852151091200e+08 4.0956617808180463e+08 4.0356418074731356e+08 3.9653707045411605e+08 3.8849730793085784e+08 3.7952537293438971e+08 3.6977079762784541e+08 3.5945373329979700e+08 3.4884533720397860e+08 3.3820980298097438e+08 3.2779456666064221e+08 3.1781351501052123e+08 3.0842089205337512e+08 2.9971723879696631e+08 2.9174862382997853e+08 2.8453236262060899e+08 2.7804549417481935e+08 2.7226162089007658e+08 2.6712969420179677e+08 2.6261436301419228e+08 2.5866225745945081e+08 2.5522467507499650e+08 2.5226438165834272e+08 2.4973283715808651e+08 2.4758168838363311e+08 2.4577760130310160e+08 2.4427258417979282e+08 2.4303701710071507e+08 2.4203279476068887e+08 2.4122993907576647e+08 2.4058427569084710e+08 2.4005112605100065e+08 2.3960105796617487e+08 2.3920383744180864e+08 2.3882624619433776e+08 2.3855814631970927e+08 2.3828714920570865e+08 2.3801051179158205e+08 2.3772071461930001e+08 2.3742174501576185e+08 2.3710467590724081e+08 2.3678188839631057e+08 2.3642209155963951e+08 2.3603703771758103e+08 2.3561964274535161e+08 2.3516437487036026e+08 2.3466451198510599e+08 2.3411248152980071e+08 2.3349706262673455e+08 2.3282128292461425e+08 2.3205708578220913e+08 2.3120029629866108e+08 2.3023848354855153e+08 2.2915826975953084e+08 2.2794585908709174e+08 2.2658741358845761e+08 2.2506730054750413e+08 2.2338930666808587e+08 2.2152164351375246e+08 2.1947176154294050e+08 2.1724440225484037e+08 2.1485703567744628e+08 2.1233938587237126e+08 2.0974802934330457e+08 2.0716685358768514e+08 2.0473533630566427e+08 2.0262461456233171e+08 2.0110717800652632e+08 2.0056097466717765e+08 2.0153631251155791e+08 2.0483299113705522e+08 2.1166307302624744e+08 2.2394507406082866e+08 2.4491470145627522e+08 7.4495283666801333e+07 +7.2245748582860205e+00 4.3429647123566931e+08 4.3425490867668504e+08 4.3418504422798306e+08 4.3409462034040207e+08 4.3400663343779397e+08 4.3395622117835629e+08 4.3395872124063420e+08 4.3398776661516601e+08 4.3401683238971686e+08 4.3404066486840832e+08 4.3406244758880812e+08 4.3408253520595002e+08 4.3410017213351411e+08 4.3411501184988010e+08 4.3412695589780712e+08 4.3413568367620558e+08 4.3414086381332535e+08 4.3414226714265990e+08 4.3413965408372515e+08 4.3413266147970104e+08 4.3412081854533839e+08 4.3410338430296355e+08 4.3407847720652145e+08 4.3404265828352988e+08 4.3399675507194197e+08 4.3394222477623433e+08 4.3387529509101021e+08 4.3379190966025722e+08 4.3368808420474917e+08 4.3355892971776080e+08 4.3339822780425435e+08 4.3319801952917004e+08 4.3294810801472151e+08 4.3263544747248417e+08 4.3224341275245261e+08 4.3175085006887108e+08 4.3113102399289703e+08 4.3035038444131076e+08 4.2936731733896399e+08 4.2813083962002724e+08 4.2644960331848085e+08 4.2431501253398579e+08 4.2162388036383402e+08 4.1826311518373328e+08 4.1411659399060965e+08 4.0907613788628072e+08 4.0305651194611692e+08 3.9601299130992103e+08 3.8795879499722892e+08 3.7897509498707855e+08 3.6921195434969497e+08 3.5888978374430591e+08 3.4827968494309670e+08 3.3764556138367730e+08 3.2723434389119476e+08 3.1725928499344289e+08 3.0787398856624782e+08 2.9917841015699071e+08 2.9121814676742923e+08 2.8401013701679611e+08 2.7753118224314064e+08 2.7175470794805342e+08 2.6662959238665062e+08 2.6212041717406851e+08 2.5817381744228208e+08 2.5474111022148803e+08 2.5178507326476178e+08 2.4925721896300989e+08 2.4710925248722616e+08 2.4530787397189540e+08 2.4380516322233346e+08 2.4257153068668658e+08 2.4156892357799545e+08 2.4076739775553253e+08 2.4012284022232538e+08 2.3959063912800419e+08 2.3914139622529396e+08 2.3874491923690131e+08 2.3836804535605463e+08 2.3810045823584756e+08 2.3782998051814085e+08 2.3755387378399974e+08 2.3726463271377170e+08 2.3696623686686283e+08 2.3664977702754793e+08 2.3632760669666982e+08 2.3596850033872515e+08 2.3558418543110970e+08 2.3516759144017717e+08 2.3471319720614696e+08 2.3421429351814514e+08 2.3366332234444025e+08 2.3304908509584931e+08 2.3237459983736885e+08 2.3161186903059885e+08 2.3075672352384976e+08 2.2979675624159035e+08 2.2871861507724071e+08 2.2750853065443090e+08 2.2615269157935581e+08 2.2463549586099145e+08 2.2296071930716982e+08 2.2109663954670197e+08 2.1905069056601489e+08 2.1682760476786879e+08 2.1444481866295505e+08 2.1193199928512555e+08 2.0934561459301031e+08 2.0676939181444848e+08 2.0434253771796340e+08 2.0223586569488788e+08 2.0072134060140809e+08 2.0017618600333917e+08 2.0114965276714212e+08 2.0444000633688128e+08 2.1125698411481869e+08 2.2351542219178653e+08 2.4444481526742625e+08 7.4278954832406446e+07 +7.2295431810602784e+00 4.3399038334702104e+08 4.3394884744396269e+08 4.3387902619769180e+08 4.3378864949053317e+08 4.3370069892345101e+08 4.3365028467475528e+08 4.3365273372287619e+08 4.3368169806567776e+08 4.3371066955195624e+08 4.3373439500491786e+08 4.3375605225633365e+08 4.3377599237434554e+08 4.3379345627693558e+08 4.3380809284967077e+08 4.3381979826911783e+08 4.3382824571484739e+08 4.3383309627975130e+08 4.3383411167173713e+08 4.3383104153056091e+08 4.3382351010293078e+08 4.3381103191983914e+08 4.3379284878733867e+08 4.3376705721497291e+08 4.3373018101360184e+08 4.3368299692904085e+08 4.3362693308301985e+08 4.3355819566202426e+08 4.3347269090288413e+08 4.3336638602627295e+08 4.3323433620310616e+08 4.3307026020029801e+08 4.3286612908926964e+08 4.3261166892831093e+08 4.3229375030989182e+08 4.3189565903845882e+08 4.3139614893412501e+08 4.3076839208015466e+08 4.2997875069876671e+08 4.2898553466565382e+08 4.2773770586771464e+08 4.2604290887321115e+08 4.2389337932489157e+08 4.2118605245091969e+08 4.1780807081366432e+08 4.1364367810252291e+08 4.0858520387738645e+08 4.0254805281935698e+08 3.9548823250054616e+08 3.8741971757276070e+08 3.7842436883114046e+08 3.6865277641900867e+08 3.5832560664296228e+08 3.4771390269285685e+08 3.3708127564484483e+08 3.2667415016122788e+08 3.1670514469447321e+08 3.0732722397874725e+08 2.9863975961202443e+08 2.9068787868639833e+08 2.8348814461851209e+08 2.7701712248365623e+08 2.7124806208262992e+08 2.6612976938907951e+08 2.6162675947107714e+08 2.5768567297581297e+08 2.5425784681438309e+08 2.5130607101528043e+08 2.4878191060495859e+08 2.4663712926862064e+08 2.4483846145109218e+08 2.4333805856635416e+08 2.4210636154772377e+08 2.4110537020266178e+08 2.4030517443689421e+08 2.3966172269414634e+08 2.3913046988273516e+08 2.3868205179466382e+08 2.3828631792638746e+08 2.3791016095443112e+08 2.3764308624281693e+08 2.3737312756558448e+08 2.3709755114534974e+08 2.3680886579249257e+08 2.3651104330502626e+08 2.3619519230933276e+08 2.3587363874319077e+08 2.3551522238615415e+08 2.3513164590154716e+08 2.3471585233784109e+08 2.3426233114041343e+08 2.3376438598615927e+08 2.3321447336175746e+08 2.3260141694667125e+08 2.3192822524869606e+08 2.3116695976346770e+08 2.3031345709756589e+08 2.2935533400764245e+08 2.2827926403576916e+08 2.2707150425510404e+08 2.2571826980259609e+08 2.2420398938745788e+08 2.2253242794737369e+08 2.2067192910513228e+08 2.1862991039750487e+08 2.1641109513708025e+08 2.1403288634017488e+08 2.1152489405294013e+08 2.0894347776318285e+08 2.0637220453681180e+08 2.0395001041460928e+08 2.0184738531389308e+08 2.0033576967121476e+08 1.9979166308597508e+08 2.0076326006083655e+08 2.0404729294374600e+08 2.1085117566135198e+08 2.2308606704979309e+08 2.4397525360705933e+08 7.4063150455070600e+07 +7.2345115038345362e+00 4.3368273587640691e+08 4.3364122285933977e+08 4.3357144435020828e+08 4.3348111484793848e+08 4.3339320142933416e+08 4.3334278543230498e+08 4.3334518356303877e+08 4.3337406689194489e+08 4.3340294414430207e+08 4.3342656269439226e+08 4.3344809465140611e+08 4.3346788750056165e+08 4.3348517868375087e+08 4.3349961250423110e+08 4.3351107978308153e+08 4.3351924749834460e+08 4.3352376922695214e+08 4.3352439757290787e+08 4.3352087142503875e+08 4.3351280246365970e+08 4.3349969057379526e+08 4.3348076039094317e+08 4.3345408654136550e+08 4.3341615572748941e+08 4.3336769402086174e+08 4.3331010052485830e+08 4.3323955999526864e+08 4.3315194138006639e+08 4.3304316354676247e+08 4.3290822601850408e+08 4.3274078492968982e+08 4.3253274159720546e+08 4.3227374529619688e+08 4.3195058332852799e+08 4.3154645283207548e+08 4.3104001567344701e+08 4.3040435195138192e+08 4.2960573676632202e+08 4.2860240458413583e+08 4.2734326294381750e+08 4.2563495326852548e+08 4.2347054105327588e+08 4.2074708452259094e+08 4.1735196110926902e+08 4.1316978153760999e+08 4.0809338364205891e+08 4.0203881080571359e+08 3.9496280126236689e+08 3.8688008263968480e+08 3.7787320114367485e+08 3.6809327016687918e+08 3.5776120794956684e+08 3.4714799601855356e+08 3.3651695094384265e+08 3.2611399028219479e+08 3.1615109858473074e+08 3.0678060245584506e+08 2.9810129105798119e+08 2.9015782324880803e+08 2.8296638888667345e+08 2.7650331818531853e+08 2.7074168643636781e+08 2.6563022822672412e+08 2.6113339281753805e+08 2.5719782688228247e+08 2.5377488760035101e+08 2.5082737759312239e+08 2.4830691471384797e+08 2.4616532131416002e+08 2.4436936629106840e+08 2.4287127273376521e+08 2.4164151218319649e+08 2.4064213711676124e+08 2.3984327158875448e+08 2.3920092556465483e+08 2.3867062076731637e+08 2.3822302712087697e+08 2.3782803595264930e+08 2.3745259542717248e+08 2.3718603277597278e+08 2.3691659278031218e+08 2.3664154630505347e+08 2.3635341628210482e+08 2.3605616675404122e+08 2.3574092417281473e+08 2.3541998695265520e+08 2.3506226011493737e+08 2.3467942153848732e+08 2.3426442784334874e+08 2.3381177907367852e+08 2.3331479178490323e+08 2.3276593697141406e+08 2.3215406056268534e+08 2.3148216153484336e+08 2.3072236035000569e+08 2.2987049937965581e+08 2.2891421919684753e+08 2.2784021897400364e+08 2.2663478221567616e+08 2.2528415057093880e+08 2.2377278342429644e+08 2.2210443486916888e+08 2.2024751445038751e+08 2.1820942327761433e+08 2.1599487557988399e+08 2.1362124090250170e+08 2.1111807234291899e+08 2.0854162099476901e+08 2.0597529386921740e+08 2.0355775648526990e+08 2.0145917548784620e+08 1.9995046726868737e+08 1.9940740796231726e+08 2.0037713644943148e+08 2.0365485304843932e+08 2.1044564982648158e+08 2.2265701092093879e+08 2.4350601897495607e+08 7.3847869752142429e+07 +7.2394798266087941e+00 4.3337352928725427e+08 4.3333204356326556e+08 4.3326230404432380e+08 4.3317202441385317e+08 4.3308414849071717e+08 4.3303373094199467e+08 4.3303607825453818e+08 4.3306488058723462e+08 4.3309366366270113e+08 4.3311717543274295e+08 4.3313858227225542e+08 4.3315822808309555e+08 4.3317534685449588e+08 4.3318957831364906e+08 4.3320080794150561e+08 4.3320869653034365e+08 4.3321289016026312e+08 4.3321313235455793e+08 4.3320915127739257e+08 4.3320054607528263e+08 4.3318680202323568e+08 4.3316712663253605e+08 4.3313957270851749e+08 4.3310058995351160e+08 4.3305085388140464e+08 4.3299173464228290e+08 4.3291939563894475e+08 4.3282966864908677e+08 4.3271842433363640e+08 4.3258060674379170e+08 4.3240980958583939e+08 4.3219786466169089e+08 4.3193434474460387e+08 4.3160595417319518e+08 4.3119580179916668e+08 4.3068245797387946e+08 4.3003891131695920e+08 4.2923135037714624e+08 4.2821793484887516e+08 4.2694751862092853e+08 4.2522574429002804e+08 4.2304650550799704e+08 4.2030698435451621e+08 4.1689479380975527e+08 4.1269491196929413e+08 4.0760068474914265e+08 4.0152879332198745e+08 3.9443670481117582e+08 3.8633989715797383e+08 3.7732159857953960e+08 3.6753344190017968e+08 3.5719659359547907e+08 3.4658197046248162e+08 3.3595259243720436e+08 3.2555386904282182e+08 3.1559715111369991e+08 3.0623412814246559e+08 2.9756300837103134e+08 2.8962798409786892e+08 2.8244487326398307e+08 2.7598977261951357e+08 2.7023558413501823e+08 2.6513097190102386e+08 2.6064032010928017e+08 2.5671028196845242e+08 2.5329223531058306e+08 2.5034899566621807e+08 2.4783223390452406e+08 2.4569383119495103e+08 2.4390059102752665e+08 2.4240480823123693e+08 2.4117698507723859e+08 2.4017922678700334e+08 2.3938169166538286e+08 2.3874045127928466e+08 2.3821109421919274e+08 2.3776432463610011e+08 2.3737007574326360e+08 2.3699535119797266e+08 2.3672930025621086e+08 2.3646037858072624e+08 2.3618586167859989e+08 2.3589828659500700e+08 2.3560160962312874e+08 2.3528697502462924e+08 2.3496665372803813e+08 2.3460961592462930e+08 2.3422751473682320e+08 2.3381332034805772e+08 2.3336154339247084e+08 2.3286551329543316e+08 2.3231771554922414e+08 2.3170701831349126e+08 2.3103641105875841e+08 2.3027807314495531e+08 2.2942785271649933e+08 2.2847341414594707e+08 2.2740148221773425e+08 2.2619836684964323e+08 2.2485033618415207e+08 2.2334188025556448e+08 2.2167674233948672e+08 2.1982339783032817e+08 2.1778923143362987e+08 2.1557894830102456e+08 2.1320988453020024e+08 2.1071153631040686e+08 2.0814004641631117e+08 2.0557866191420075e+08 2.0316577800799716e+08 2.0107123827296567e+08 1.9956543543495902e+08 1.9902342266788036e+08 1.9999128397837502e+08 2.0326268872982955e+08 2.1004040875826222e+08 2.2222825607782054e+08 2.4303711385678068e+08 7.3633111939586461e+07 +7.2444481493830519e+00 4.3306277391356730e+08 4.3302130970593917e+08 4.3295161502473027e+08 4.3286138612400275e+08 4.3277354759975523e+08 4.3272312868150902e+08 4.3272542528217709e+08 4.3275414663599086e+08 4.3278283559381938e+08 4.3280624070873260e+08 4.3282752260774469e+08 4.3284702161192781e+08 4.3286396827989292e+08 4.3287799777122456e+08 4.3288899023883367e+08 4.3289660030606824e+08 4.3290046657705384e+08 4.3290032351594019e+08 4.3289588858893591e+08 4.3288674844136047e+08 4.3287237377479446e+08 4.3285195502214271e+08 4.3282352323089266e+08 4.3278349120986831e+08 4.3273248403447789e+08 4.3267184296650034e+08 4.3259771013244140e+08 4.3250588025797445e+08 4.3239217594581753e+08 4.3225148594937611e+08 4.3207734175149077e+08 4.3186150588098991e+08 4.3159347488905865e+08 4.3125987047731608e+08 4.3084371359328920e+08 4.3032348351092052e+08 4.2967207787433374e+08 4.2885559925117218e+08 4.2783213320080334e+08 4.2655048065811777e+08 4.2481528970956188e+08 4.2262128046231031e+08 4.1986575970557648e+08 4.1643657663675278e+08 4.1221907705128014e+08 4.0710711474658471e+08 4.0101800776447439e+08 3.9390995033996332e+08 3.8579916806516808e+08 3.7676956776976019e+08 3.6697329790273792e+08 3.5663176948830414e+08 3.4601583154316467e+08 3.3538820525918639e+08 3.2499379121036756e+08 3.1504330671057028e+08 3.0568780516274589e+08 2.9702491540792292e+08 2.8909836485745203e+08 2.8192360117503053e+08 2.7547648904034871e+08 2.6972975828685826e+08 2.6463200339717379e+08 2.6014754422640777e+08 2.5622304102535990e+08 2.5280989266101471e+08 2.4987092788702574e+08 2.4735787077714008e+08 2.4522266146752593e+08 2.4343213818144405e+08 2.4193866755167112e+08 2.4071278270024654e+08 2.3971664166676167e+08 2.3892043710663426e+08 2.3828030226815006e+08 2.3775189266188952e+08 2.3730594675820139e+08 2.3691243971180251e+08 2.3653843067686492e+08 2.3627289109032571e+08 2.3600448737093031e+08 2.3573049966735050e+08 2.3544347912974077e+08 2.3514737430787197e+08 2.3483334725666779e+08 2.3451364145842308e+08 2.3415729220047438e+08 2.3377592787863526e+08 2.3336253222897324e+08 2.3291162646933061e+08 2.3241655288560757e+08 2.3186981145739889e+08 2.3126029255500638e+08 2.3059097616927075e+08 2.2983410048973501e+08 2.2898551944072294e+08 2.2803292117760363e+08 2.2696305607909411e+08 2.2576226045672813e+08 2.2441682892818704e+08 2.2291128215184864e+08 2.2124935261196241e+08 2.1939958147999582e+08 2.1736933707992977e+08 2.1516331549236044e+08 2.1279881939130631e+08 2.1030528809772304e+08 2.0773875614422706e+08 2.0518231076213318e+08 2.0277407704812530e+08 2.0068357571355063e+08 1.9918067619886744e+08 1.9863970922594675e+08 1.9960570468107054e+08 2.0287080205440858e+08 2.0963545459224513e+08 2.2179980477976018e+08 2.4256854072337744e+08 7.3418876232001275e+07 +7.2494164721573098e+00 4.3275047689555049e+08 4.3270903806898719e+08 4.3263938656036013e+08 4.3254920724120927e+08 4.3246140620043826e+08 4.3241098612063354e+08 4.3241323211982518e+08 4.3244187251470220e+08 4.3247046741716099e+08 4.3249376600155556e+08 4.3251492313827425e+08 4.3253427556881559e+08 4.3255105044234997e+08 4.3256487836055362e+08 4.3257563415995634e+08 4.3258296631246877e+08 4.3258650596554148e+08 4.3258597854680502e+08 4.3258109085211092e+08 4.3257141705711347e+08 4.3255641332685089e+08 4.3253525306166285e+08 4.3250594561420631e+08 4.3246486700725603e+08 4.3241259199670148e+08 4.3235043301993364e+08 4.3227451100525194e+08 4.3218058374524403e+08 4.3206442593186831e+08 4.3192087119548464e+08 4.3174338900132030e+08 4.3152367284375662e+08 4.3125114333430535e+08 4.3091233986473727e+08 4.3049019585723156e+08 4.2996309994888884e+08 4.2930385930994195e+08 4.2847849109614217e+08 4.2744500736786169e+08 4.2615215680066615e+08 4.2440359728422236e+08 4.2219487367417067e+08 4.1942341831845748e+08 4.1597731729508150e+08 4.1174228442004079e+08 4.0661268116313612e+08 4.0050646150913131e+08 3.9338254502031249e+08 3.8525790227529144e+08 3.7621711532282633e+08 3.6641284443492413e+08 3.5606674151257926e+08 3.4544958475706506e+08 3.3482379452151757e+08 3.2443376153053600e+08 3.1448956978241092e+08 3.0514163762121654e+08 2.9648701600585967e+08 2.8856896913352656e+08 2.8140257602643919e+08 2.7496347068441695e+08 2.6922421198374480e+08 2.6413332568339029e+08 2.5965506803287554e+08 2.5573610682828754e+08 2.5232786235207918e+08 2.4939317689320028e+08 2.4688382791701275e+08 2.4475181467379954e+08 2.4296401025900292e+08 2.4147285317281812e+08 2.4024890750777167e+08 2.3925438419456023e+08 2.3845951033839035e+08 2.3782048094787157e+08 2.3729301850479561e+08 2.3684789589123660e+08 2.3645513025782445e+08 2.3608183625896937e+08 2.3581680767121369e+08 2.3554892154101098e+08 2.3527546265870884e+08 2.3498899627063972e+08 2.3469346318962952e+08 2.3438004324715620e+08 2.3406095251868767e+08 2.3370529131378722e+08 2.3332466333096135e+08 2.3291206584978911e+08 2.3246203066319546e+08 2.3196791290902528e+08 2.3142222704401967e+08 2.3081388562928447e+08 2.3014585920160168e+08 2.2939044471183357e+08 2.2854350187147263e+08 2.2759274260125953e+08 2.2652494285636503e+08 2.2532646532342082e+08 2.2398363107585877e+08 2.2248099137107646e+08 2.2082226792744058e+08 2.1897606762141511e+08 2.1694974241787979e+08 2.1474797933291191e+08 2.1238804764061257e+08 2.0989932983444038e+08 2.0733775228228426e+08 2.0478624249073115e+08 2.0238265565924159e+08 2.0029618984205705e+08 1.9879619157774314e+08 1.9825626964852270e+08 1.9922040057903627e+08 2.0247919507675976e+08 2.0923078945147079e+08 2.2137165927334481e+08 2.4210030203130117e+08 7.3205161842637077e+07 +7.2543847949315676e+00 4.3243664098939222e+08 4.3239523211769879e+08 4.3232562357023728e+08 4.3223549475143415e+08 4.3214773171473777e+08 4.3209731072284967e+08 4.3209950623199677e+08 4.3212806569135487e+08 4.3215656660207778e+08 4.3217975878317684e+08 4.3220079133584917e+08 4.3221999742678118e+08 4.3223660081654847e+08 4.3225022755710804e+08 4.3226074718104923e+08 4.3226780202769279e+08 4.3227101580587196e+08 4.3227010492952210e+08 4.3226476555119300e+08 4.3225455940851343e+08 4.3223892816829902e+08 4.3221702824360150e+08 4.3218684735482806e+08 4.3214472484676397e+08 4.3209118527349579e+08 4.3202751231536245e+08 4.3194980577842271e+08 4.3185378664036673e+08 4.3173518183090192e+08 4.3158877003262389e+08 4.3140795889793611e+08 4.3118437312862653e+08 4.3090735767474473e+08 4.3056336994760418e+08 4.3013525622367191e+08 4.2960131494075853e+08 4.2893426329796720e+08 4.2810003360752261e+08 4.2705656506551361e+08 4.2575255477973533e+08 4.2399067475625324e+08 4.2176729288633722e+08 4.1897996791956085e+08 4.1551702347088146e+08 4.1126454169144988e+08 4.0611739150681561e+08 3.9999416190980524e+08 3.9285449600197959e+08 3.8471610668168223e+08 3.7566424782316816e+08 3.6585208773315066e+08 3.5550151552869177e+08 3.4488323557685536e+08 3.3425936531314540e+08 3.2387378472634751e+08 3.1393594471580255e+08 3.0459562960162246e+08 2.9594931398213953e+08 2.8803980051286012e+08 2.8088180120671016e+08 2.7445072077071255e+08 2.6871894830077124e+08 2.6363494171221393e+08 2.5916289437654456e+08 2.5524948213728246e+08 2.5184614706893796e+08 2.4891574530727208e+08 2.4641010789406955e+08 2.4428129334060627e+08 2.4249620975224614e+08 2.4100736755863813e+08 2.3978536194141605e+08 2.3879245679448748e+08 2.3799891377235857e+08 2.3736098972017452e+08 2.3683447414281857e+08 2.3639017442498517e+08 2.3599814976684332e+08 2.3562557032591137e+08 2.3536105237775636e+08 2.3509368346709481e+08 2.3482075302579430e+08 2.3453484038835424e+08 2.3423987863586831e+08 2.3392706536063939e+08 2.3360858926993987e+08 2.3325361562230298e+08 2.3287372344768211e+08 2.3246192355953744e+08 2.3201275831890431e+08 2.3151959570574304e+08 2.3097496464357370e+08 2.3036779986465028e+08 2.2970106247760448e+08 2.2894710812525910e+08 2.2810180231398949e+08 2.2715288071285921e+08 2.2608714483476719e+08 2.2489098372262192e+08 2.2355074488654417e+08 2.2205101015747586e+08 2.2039549051340416e+08 2.1855285846340793e+08 2.1653044963585931e+08 2.1433294198897639e+08 2.1197757142072025e+08 2.0949366363801345e+08 2.0693703692199835e+08 2.0439045916593137e+08 2.0199151588296619e+08 1.9990908267888138e+08 1.9841198357669878e+08 1.9787310593521562e+08 1.9883537368173587e+08 2.0208786983951825e+08 2.0882641544644147e+08 2.2094382179140741e+08 2.4163240022273931e+08 7.2991967983413652e+07 +7.2593531177058255e+00 4.3212128476770973e+08 4.3207990142181480e+08 4.3201033337187630e+08 4.3192025595369828e+08 4.3183253158020735e+08 4.3178210994625747e+08 4.3178425507430524e+08 4.3181273362511969e+08 4.3184114061115658e+08 4.3186422651499140e+08 4.3188513466358876e+08 4.3190419465018195e+08 4.3192062686696357e+08 4.3193405282702118e+08 4.3194433677054137e+08 4.3195111492065799e+08 4.3195400356861645e+08 4.3195271013652521e+08 4.3194692016060644e+08 4.3193618297316861e+08 4.3191992577957475e+08 4.3189728805161464e+08 4.3186623594022155e+08 4.3182307221961623e+08 4.3176827136339700e+08 4.3170308835660905e+08 4.3162360196272790e+08 4.3152549646298796e+08 4.3140445117291766e+08 4.3125519000212562e+08 4.3107105899623996e+08 4.3084361430297810e+08 4.3056212549508744e+08 4.3021296832836008e+08 4.2977890231352127e+08 4.2923813612781781e+08 4.2856329750008392e+08 4.2772023446805441e+08 4.2666681399557590e+08 4.2535168231282157e+08 4.2357652985321617e+08 4.2133854582473326e+08 4.1853541621730739e+08 4.1505570283329803e+08 4.1078585646389467e+08 4.0562125326645899e+08 3.9948111630057979e+08 3.9232581041197956e+08 3.8417378815190017e+08 3.7511097183307326e+08 3.6529103401132452e+08 3.5493609737418246e+08 3.4431678945195693e+08 3.3369492270046264e+08 3.2331386550010461e+08 3.1338243587658179e+08 3.0404978516777551e+08 2.9541181313561887e+08 2.8751086256364286e+08 2.8036128008658570e+08 2.7393824250113547e+08 2.6821397029570025e+08 2.6313685441917306e+08 2.5867102608986861e+08 2.5476316969603026e+08 2.5136474948140025e+08 2.4843863573692220e+08 2.4593671326396641e+08 2.4381109998064327e+08 2.4202873913851759e+08 2.4054221315799755e+08 2.3932214842832437e+08 2.3833086187688228e+08 2.3753864980592117e+08 2.3690183097360688e+08 2.3637626195740050e+08 2.3593278473520088e+08 2.3554150061017960e+08 2.3516963524528274e+08 2.3490562757471588e+08 2.3463877551115888e+08 2.3436637312822372e+08 2.3408101383903381e+08 2.3378662300013298e+08 2.3347441594753551e+08 2.3315655405919588e+08 2.3280226746937153e+08 2.3242311056838062e+08 2.3201210769405100e+08 2.3156381176784855e+08 2.3107160360204718e+08 2.3052802657697698e+08 2.2992203757576671e+08 2.2925658830484787e+08 2.2850409303033930e+08 2.2766042306016606e+08 2.2671333779461655e+08 2.2564966428595039e+08 2.2445581791384956e+08 2.2311817260638446e+08 2.2162134074178159e+08 2.1996902258438271e+08 2.1812995620190740e+08 2.1611146090952614e+08 2.1391820561397851e+08 2.1156739286148617e+08 2.0908829161350515e+08 2.0653661214256477e+08 2.0399496284132287e+08 2.0160065974877885e+08 1.9952225623266742e+08 1.9802805418955600e+08 1.9749022007449341e+08 1.9845062598729682e+08 2.0169682837298730e+08 2.0842233467557567e+08 2.2051629455421481e+08 2.4116483772553679e+08 7.2779293864938036e+07 +7.2643214404800833e+00 4.3180440896397501e+08 4.3176304958610964e+08 4.3169352335324192e+08 4.3160349844940805e+08 4.3151581326076603e+08 4.3146539124464649e+08 4.3146748609318215e+08 4.3149588376697159e+08 4.3152419689598680e+08 4.3154717665045637e+08 4.3156796057527018e+08 4.3158687469371957e+08 4.3160313605023086e+08 4.3161636162811792e+08 4.3162641038722700e+08 4.3163291245178378e+08 4.3163547671561652e+08 4.3163380163149214e+08 4.3162756214683032e+08 4.3161629521995771e+08 4.3159941363248402e+08 4.3157603996034592e+08 4.3154411884840417e+08 4.3149991660962743e+08 4.3144385775332093e+08 4.3137716863841861e+08 4.3129590706042314e+08 4.3119572072385287e+08 4.3107224147768903e+08 4.3092013863481587e+08 4.3073269683894897e+08 4.3050140392559332e+08 4.3021545436869544e+08 4.2986114259738690e+08 4.2942114173624647e+08 4.2887357113920867e+08 4.2819096956678891e+08 4.2733910134767753e+08 4.2627576184662396e+08 4.2494954710335332e+08 4.2316117028837585e+08 4.2090864020131314e+08 4.1808977090513325e+08 4.1459336303365934e+08 4.1030623631676161e+08 4.0512427391051888e+08 3.9896733199339646e+08 3.9179649535658807e+08 3.8363095353352523e+08 3.7455729389057326e+08 3.6472968945921850e+08 3.5437049286320794e+08 3.4375025180974829e+08 3.3313047172805226e+08 3.2275400853123122e+08 3.1282904760923874e+08 3.0350410836362475e+08 2.9487451724528962e+08 2.8698215883576083e+08 2.7984101601875013e+08 2.7342603906032526e+08 2.6770928100988436e+08 2.6263906672380546e+08 2.5817946598834935e+08 2.5427717223334378e+08 2.5088367224411300e+08 2.4796185077403703e+08 2.4546364656722832e+08 2.4334123709151548e+08 2.4156160088070503e+08 2.4007739240617296e+08 2.3885926938110271e+08 2.3786960183785799e+08 2.3707872082243562e+08 2.3644300708168381e+08 2.3591838431543455e+08 2.3547572918371934e+08 2.3508518514507478e+08 2.3471403337071815e+08 2.3445053561299482e+08 2.3418420002159810e+08 2.3391232531146449e+08 2.3362751896543553e+08 2.3333369862206519e+08 2.3302209734427997e+08 2.3270484922018561e+08 2.3235124918473625e+08 2.3197282701938999e+08 2.3156262057535428e+08 2.3111519332709447e+08 2.3062393891040516e+08 2.3008141515112108e+08 2.2947660106375498e+08 2.2881243897799721e+08 2.2806140171393290e+08 2.2721936638836515e+08 2.2627411611558115e+08 2.2521250346806419e+08 2.2402097014355105e+08 2.2268591646838409e+08 2.2119198534234270e+08 2.1954286634153977e+08 2.1770736301993844e+08 2.1569277840168732e+08 2.1350377234875137e+08 2.1115751408011696e+08 2.0868321585322210e+08 2.0613648001105505e+08 2.0359975555842090e+08 2.0121008927416071e+08 1.9913571250027198e+08 1.9764440539798239e+08 1.9710761404252514e+08 1.9806615948153710e+08 2.0130607269591016e+08 2.0801854922464800e+08 2.2008907976832041e+08 2.4069761695293891e+08 7.2567138696521953e+07 +7.2692897632543412e+00 4.3148601910849321e+08 4.3144468588904411e+08 4.3137520326962167e+08 4.3128522982874149e+08 4.3119758422750372e+08 4.3114716206469530e+08 4.3114920672716504e+08 4.3117752356041867e+08 4.3120574290160948e+08 4.3122861663438529e+08 4.3124927651611882e+08 4.3126804500424212e+08 4.3128413581368244e+08 4.3129716140897191e+08 4.3130697548036337e+08 4.3131320207273835e+08 4.3131544270035219e+08 4.3131338686962843e+08 4.3130669896625239e+08 4.3129490360791594e+08 4.3127739918828064e+08 4.3125329143508840e+08 4.3122050354909348e+08 4.3117526548982072e+08 4.3111795192292315e+08 4.3104976064548641e+08 4.3096672856357861e+08 4.3086446692300415e+08 4.3073856025601727e+08 4.3058362345260710e+08 4.3039287996054971e+08 4.3015774954339033e+08 4.2986735185862076e+08 4.2950790033506632e+08 4.2906198209039682e+08 4.2850762759380513e+08 4.2781728713559729e+08 4.2695664190438879e+08 4.2588341629347301e+08 4.2454615684146321e+08 4.2274460375930917e+08 4.2047758371089131e+08 4.1764303965880907e+08 4.1413001170547509e+08 4.0982568880996174e+08 4.0462646088749880e+08 3.9845281628012455e+08 3.9126655791884774e+08 3.8308760965022779e+08 3.7400322051099861e+08 3.6416806024314815e+08 3.5380470778669173e+08 3.4318362805389374e+08 3.3256601741732830e+08 3.2219421847864300e+08 3.1227578423724300e+08 3.0295860321237302e+08 2.9433743007068670e+08 2.8645369286000037e+08 2.7932101233804107e+08 2.7291411361524194e+08 2.6720488346813756e+08 2.6214158152954668e+08 2.5768821687267086e+08 2.5379149246189588e+08 2.5040291799647149e+08 2.4748539299669832e+08 2.4499091032982793e+08 2.4287170715656286e+08 2.4109479742746711e+08 2.3961290772348237e+08 2.3839672719878498e+08 2.3740867905897799e+08 2.3661912919107372e+08 2.3598452040476143e+08 2.3546084356969279e+08 2.3501901011825755e+08 2.3462920571536580e+08 2.3425876704172301e+08 2.3399577882948777e+08 2.3372995933270791e+08 2.3345861190706104e+08 2.3317435809658420e+08 2.3288110782760182e+08 2.3257011187368888e+08 2.3225347707201073e+08 2.3190056308460057e+08 2.3152287511258182e+08 2.3111346451156583e+08 2.3066690530046985e+08 2.3017660392933267e+08 2.2963513265938801e+08 2.2903149261603492e+08 2.2836861677751195e+08 2.2761903644923601e+08 2.2677863456343657e+08 2.2583521793109757e+08 2.2477566462599552e+08 2.2358644264456969e+08 2.2225397869205904e+08 2.2076294616376179e+08 2.1911702397328931e+08 2.1728508108736965e+08 2.1527440426211086e+08 2.1308964432153830e+08 2.1074793718147478e+08 2.0827843843735164e+08 2.0573664258198649e+08 2.0320483934686062e+08 2.0081980646471581e+08 1.9874945346631759e+08 1.9726103917210257e+08 1.9672528980415693e+08 1.9768197613867018e+08 2.0091560481475145e+08 2.0761506116698909e+08 2.1966217962777844e+08 2.4023074030429408e+08 7.2355501686199546e+07 +7.2742580860285990e+00 4.3116611940406477e+08 4.3112481618608892e+08 4.3105537955424571e+08 4.3096545729173005e+08 4.3087785193568885e+08 4.3082742984338355e+08 4.3082942440607780e+08 4.3085766043929237e+08 4.3088578606238842e+08 4.3090855390221000e+08 4.3092908992251086e+08 4.3094771301912618e+08 4.3096363359591985e+08 4.3097645960884398e+08 4.3098603949119800e+08 4.3099199122555006e+08 4.3099390896622348e+08 4.3099147329652333e+08 4.3098433806719321e+08 4.3097201558711839e+08 4.3095388990062970e+08 4.3092904993189663e+08 4.3089539750210816e+08 4.3084912632452691e+08 4.3079056134141773e+08 4.3072087185323703e+08 4.3063607395443946e+08 4.3053174255158460e+08 4.3040341500761485e+08 4.3024565196569425e+08 4.3005161588348895e+08 4.2981265869359064e+08 4.2951782551692480e+08 4.2915324911004698e+08 4.2870143096330780e+08 4.2814031309659147e+08 4.2744225783282536e+08 4.2657286378241062e+08 4.2548978499899757e+08 4.2414151920235461e+08 4.2232683795001417e+08 4.2004538403311741e+08 4.1719523013745189e+08 4.1366565646396554e+08 4.0934422148457402e+08 4.0412782162601405e+08 3.9793757643090785e+08 3.9073600516078955e+08 3.8254376330313438e+08 3.7344875818701178e+08 3.6360615250683427e+08 3.5323874791224825e+08 3.4261692356489664e+08 3.3200156476768732e+08 3.2163449997855610e+08 3.1172265006358159e+08 3.0241327371742606e+08 2.9380055535240817e+08 2.8592546814919829e+08 2.7880127236155385e+08 2.7240246931617594e+08 2.6670078067783707e+08 2.6164440172314191e+08 2.5719728152713868e+08 2.5330613307968229e+08 2.4992248936246118e+08 2.4700926496704912e+08 2.4451850706283298e+08 2.4240251264447105e+08 2.4062833121273664e+08 2.3914876151620728e+08 2.3793452426546618e+08 2.3694809590810567e+08 2.3615987726695043e+08 2.3552637328857484e+08 2.3500364205973440e+08 2.3456262987266877e+08 2.3417356465047476e+08 2.3380383858394957e+08 2.3354135954722223e+08 2.3327605576456225e+08 2.3300523523258343e+08 2.3272153354695040e+08 2.3242885292855307e+08 2.3211846184469101e+08 2.3180243992067805e+08 2.3145021147112098e+08 2.3107325714661479e+08 2.3066464179696521e+08 2.3021894997799739e+08 2.2972960094450885e+08 2.2918918138164115e+08 2.2858671450614381e+08 2.2792512397059223e+08 2.2717699949594820e+08 2.2633822983690813e+08 2.2539664548300159e+08 2.2433914999129251e+08 2.2315223763664010e+08 2.2182236148414007e+08 2.2033422539787054e+08 2.1869149765495583e+08 2.1686311256144184e+08 2.1485634062825239e+08 2.1267582364765540e+08 2.1033866425790587e+08 2.0787396143361932e+08 2.0533710189785334e+08 2.0281021622377411e+08 2.0042981331415841e+08 1.9836348110415366e+08 1.9687795746991134e+08 1.9634324931245977e+08 1.9729807792155465e+08 2.0052542672405577e+08 2.0721187256372285e+08 2.1923559631315577e+08 2.3976421016445154e+08 7.2144382040744439e+07 +7.2792264088028569e+00 4.3084472836623323e+08 4.3080345203031123e+08 4.3073405999325669e+08 4.3064418817073160e+08 4.3055662381206620e+08 4.3050620200831562e+08 4.3050814655234367e+08 4.3053630182911712e+08 4.3056433380530936e+08 4.3058699588001591e+08 4.3060740822110653e+08 4.3062588616655105e+08 4.3064163682553303e+08 4.3065426365880489e+08 4.3066360985137886e+08 4.3066928734298724e+08 4.3067088294808161e+08 4.3066806834838897e+08 4.3066048688818371e+08 4.3064763859889984e+08 4.3062889321282405e+08 4.3060332289770687e+08 4.3056880815766859e+08 4.3052150656838137e+08 4.3046169346810633e+08 4.3039050972777128e+08 4.3030395070663422e+08 4.3019755509116435e+08 4.3006681322313231e+08 4.2990623167552191e+08 4.2970891212141031e+08 4.2946613890254438e+08 4.2916688288537240e+08 4.2879719648070163e+08 4.2833949593038821e+08 4.2777163524278617e+08 4.2706588927105576e+08 4.2618777461376929e+08 4.2509487561100233e+08 4.2373564184760594e+08 4.2190788052802449e+08 4.1961204883184385e+08 4.1674634998347902e+08 4.1320030490689629e+08 4.0886184186329669e+08 4.0362836353489643e+08 3.9742161969506818e+08 3.9020484412247318e+08 3.8199942127086812e+08 3.7289391338690013e+08 3.6304397236987972e+08 3.5267261898380446e+08 3.4205014370113748e+08 3.3143711875596905e+08 3.2107485764632756e+08 3.1116964937041509e+08 3.0186812386277813e+08 2.9326389681174934e+08 2.8539748819755840e+08 2.7828179938821000e+08 2.7189110929595131e+08 2.6619697563052663e+08 2.6114753017532900e+08 2.5670666272047302e+08 2.5282109676866305e+08 2.4944238895139545e+08 2.4653346923276520e+08 2.4404643926266676e+08 2.4193365600912926e+08 2.4016220465614465e+08 2.3868495617657343e+08 2.3747266295168445e+08 2.3648785473883280e+08 2.3570096739142230e+08 2.3506856806497350e+08 2.3454678211055762e+08 2.3410659076680025e+08 2.3371826426600030e+08 2.3334925030923086e+08 2.3308728007553869e+08 2.3282249162402841e+08 2.3255219759190908e+08 2.3226904761798826e+08 2.3197693622330749e+08 2.3166714955229348e+08 2.3135174005803612e+08 2.3100019663283837e+08 2.3062397540626755e+08 2.3021615471252927e+08 2.2977132963607389e+08 2.2928293222689906e+08 2.2874356358389619e+08 2.2814226899457523e+08 2.2748196281090161e+08 2.2673529310030803e+08 2.2589815444646713e+08 2.2495840100014734e+08 2.2390296178195262e+08 2.2271835732636732e+08 2.2139106703776410e+08 2.1990582522312731e+08 2.1826628954893455e+08 2.1644145958655262e+08 2.1443858962426606e+08 2.1226231243007985e+08 2.0992969738882551e+08 2.0746978689737448e+08 2.0493785998926029e+08 2.0241588819473484e+08 2.0004011180427045e+08 1.9797779737508637e+08 1.9649516223858145e+08 1.9596149450871444e+08 1.9691446678068236e+08 2.0013554040666822e+08 2.0680898546405703e+08 2.1880933199239847e+08 2.3929802890426856e+08 7.1933778965687603e+07 +7.2841947315771147e+00 4.3052184918074608e+08 4.3048059926604635e+08 4.3041125026118821e+08 4.3032143018159294e+08 4.3023390725411451e+08 4.3018348597672856e+08 4.3018538057905084e+08 4.3021345514678746e+08 4.3024139354651195e+08 4.3026394998538536e+08 4.3028423882985109e+08 4.3030257186550713e+08 4.3031815292310047e+08 4.3033058097957921e+08 4.3033969398343933e+08 4.3034509784939075e+08 4.3034637207134181e+08 4.3034317945306718e+08 4.3033515285778594e+08 4.3032178007411915e+08 4.3030241655955285e+08 4.3027611777050757e+08 4.3024074295676255e+08 4.3019241366633826e+08 4.3013135575396985e+08 4.3005868172541189e+08 4.2997036628303713e+08 4.2986191201206326e+08 4.2972876238286525e+08 4.2956537007282311e+08 4.2936477617682719e+08 4.2911819768636453e+08 4.2881453149480373e+08 4.2843974999390829e+08 4.2797618455623972e+08 4.2740160161457616e+08 4.2668818905167764e+08 4.2580138201759410e+08 4.2469869576494461e+08 4.2332853242470497e+08 4.2148773914733481e+08 4.1917758575484318e+08 4.1629640682274359e+08 4.1273396461419111e+08 4.0837855744942850e+08 4.0312809400253040e+08 3.9690495330076200e+08 3.8967308182118142e+08 3.8145459030890793e+08 3.7233869255695188e+08 3.6248152592886972e+08 3.5210632672271806e+08 3.4148329379761577e+08 3.3087268433718365e+08 3.2051529607495987e+08 3.1061678641841483e+08 3.0132315761134958e+08 2.9272745815051275e+08 2.8486975648050284e+08 2.7776259669994688e+08 2.7138003666975665e+08 2.6569347130057463e+08 2.6065096974107918e+08 2.5621636320552748e+08 2.5233638619545567e+08 2.4896261935690340e+08 2.4605800832667604e+08 2.4357470941110381e+08 2.4146513969060993e+08 2.3969642016304287e+08 2.3822149408230099e+08 2.3701114561364925e+08 2.3602795789076832e+08 2.3524240189142641e+08 2.3461110705188942e+08 2.3409026603296530e+08 2.3365089510670567e+08 2.3326330686372155e+08 2.3289500451583531e+08 2.3263354270992118e+08 2.3236926920407686e+08 2.3209950127527392e+08 2.3181690259683052e+08 2.3152535999614009e+08 2.3121617727813327e+08 2.3090137976236659e+08 2.3055052084447318e+08 2.3017503216286704e+08 2.2976800552510098e+08 2.2932404653749165e+08 2.2883660003478318e+08 2.2829828151883796e+08 2.2769815832782152e+08 2.2703913553854227e+08 2.2629391949518237e+08 2.2545841061694643e+08 2.2452048669788259e+08 2.2346710220324352e+08 2.2228480390675896e+08 2.2096009753306997e+08 2.1947774780503190e+08 2.1784140180447903e+08 2.1602012429387799e+08 2.1402115336210012e+08 2.1184911275918561e+08 2.0952103864175761e+08 2.0706591687175804e+08 2.0453891887420321e+08 2.0202185725289255e+08 1.9965070390483791e+08 1.9759240422858706e+08 1.9611265541282472e+08 1.9558002732269096e+08 1.9653114465544760e+08 1.9974594783349183e+08 2.0640640190404537e+08 2.1838338882006890e+08 2.3883219888000932e+08 7.1723691665334105e+07 +7.2891630543513726e+00 4.3019748456852788e+08 4.3015626146462250e+08 4.3008695943625528e+08 4.2999719105050927e+08 4.2990970963827759e+08 4.2985928915589404e+08 4.2986113389185917e+08 4.2988912780003989e+08 4.2991697269457632e+08 4.2993942362629950e+08 4.2995958915716511e+08 4.2997777752648985e+08 4.2999318929936242e+08 4.3000541898387712e+08 4.3001429930050331e+08 4.3001943015911210e+08 4.3002038375235587e+08 4.3001681402801150e+08 4.3000834339703500e+08 4.2999444743640864e+08 4.2997446736560220e+08 4.2994744197750831e+08 4.2991120933134770e+08 4.2986185505459797e+08 4.2979955563906920e+08 4.2972539529248959e+08 4.2963532813692284e+08 4.2952482077632314e+08 4.2938926995732778e+08 4.2922307463827771e+08 4.2901921554153192e+08 4.2876884255046135e+08 4.2846077886495835e+08 4.2808091718512762e+08 4.2761150439272255e+08 4.2703021978253353e+08 4.2630916476358396e+08 4.2541369359958601e+08 4.2430125308184695e+08 4.2292019856647527e+08 4.2106642144546163e+08 4.1874200243411356e+08 4.1584540826291615e+08 4.1226664314792162e+08 4.0789437572718060e+08 4.0262702039685172e+08 3.9638758445534486e+08 3.8914072525284803e+08 3.8090927715061867e+08 3.7178310211985290e+08 3.6191881925711775e+08 3.5153987682641149e+08 3.4091637916673756e+08 3.3030826644381171e+08 3.1995581983642572e+08 3.1006406544840515e+08 3.0077837890707111e+08 2.9219124305192387e+08 2.8434227645549595e+08 2.7724366755980909e+08 2.7086925453662276e+08 2.6519027064609429e+08 2.6015472325878748e+08 2.5572638571942401e+08 2.5185200401127535e+08 2.4848318315802279e+08 2.4558288476692653e+08 2.4310331997554636e+08 2.4099696611398768e+08 2.3923098012452590e+08 2.3775837759698096e+08 2.3654997459343708e+08 2.3556840768930015e+08 2.3478418308033895e+08 2.3415399255379778e+08 2.3363409612472767e+08 2.3319554518465292e+08 2.3280869473160690e+08 2.3244110348776838e+08 2.3218014973155299e+08 2.3191639078326094e+08 2.3164714855909550e+08 2.3136510075693268e+08 2.3107412651784775e+08 2.3076554728981310e+08 2.3045136129826689e+08 2.3010118636727753e+08 2.2972642967355502e+08 2.2932019648828968e+08 2.2887710293114081e+08 2.2839060661230901e+08 2.2785333742574373e+08 2.2725438473918429e+08 2.2659664438042280e+08 2.2585288090004861e+08 2.2501900055937880e+08 2.2408290477804863e+08 2.2303157344653958e+08 2.2185157955818835e+08 2.2052945513733006e+08 2.1904999529656464e+08 2.1741683655823320e+08 2.1559910880221769e+08 2.1360403394053435e+08 2.1143622671262994e+08 2.0911269007170457e+08 2.0666235338752076e+08 2.0414028055861995e+08 2.0162812537991306e+08 1.9926159157422563e+08 1.9720730360277599e+08 1.9573043891609228e+08 1.9519884967265978e+08 1.9614811347323400e+08 1.9935665096361604e+08 2.0600412390855318e+08 2.1795776893835422e+08 2.3836672243427208e+08 7.1514119342780486e+07 +7.2941313771256304e+00 4.2987165050064647e+08 4.2983044833292627e+08 4.2976119138970268e+08 4.2967147821474165e+08 4.2958403832929802e+08 4.2953361894112331e+08 4.2953541388718957e+08 4.2956332718831897e+08 4.2959107864815098e+08 4.2961342420095009e+08 4.2963346660227144e+08 4.2965151054913855e+08 4.2966675335566425e+08 4.2967878507345533e+08 4.2968743320652312e+08 4.2969229167795718e+08 4.2969292539774197e+08 4.2968897948225093e+08 4.2968006591551328e+08 4.2966564809703016e+08 4.2964505304627603e+08 4.2961730293762004e+08 4.2958021470318609e+08 4.2952983815890050e+08 4.2946630055450976e+08 4.2939065786564738e+08 4.2929884371227682e+08 4.2918628883480209e+08 4.2904834340651220e+08 4.2887935284222251e+08 4.2867223769788188e+08 4.2841808098886859e+08 4.2810563250412714e+08 4.2772070557835317e+08 4.2724546298168534e+08 4.2665749730449212e+08 4.2592882398209232e+08 4.2502471695273936e+08 4.2390255516981804e+08 4.2251064789144981e+08 4.2064393504623455e+08 4.1830530648511690e+08 4.1539336189649177e+08 4.1179834805127293e+08 4.0740930416163176e+08 4.0212515006609201e+08 3.9586952034436303e+08 3.8860778139083010e+08 3.8036348850656253e+08 3.7122714847511160e+08 3.6135585840431589e+08 3.5097327496966952e+08 3.4034940509754670e+08 3.2974386998553240e+08 3.1939643348107392e+08 3.0951149068001473e+08 3.0023379167332858e+08 2.9165525517985505e+08 2.8381505156146598e+08 2.7672501521463549e+08 2.7035876597771811e+08 2.6468737660860804e+08 2.5965879355091277e+08 2.5523673298369464e+08 2.5136795285242981e+08 2.4800408291843447e+08 2.4510810105637577e+08 2.4263227340850013e+08 2.4052913769011146e+08 2.3876588691735047e+08 2.3729560907037887e+08 2.3608915221896410e+08 2.3510920644612655e+08 2.3432631325734925e+08 2.3369722686063030e+08 2.3317827466918105e+08 2.3274054327888227e+08 2.3235443014396229e+08 2.3198754949526647e+08 2.3172710340878052e+08 2.3146385862696138e+08 2.3119514170588726e+08 2.3091364435836756e+08 2.3062323804550514e+08 2.3031526184128693e+08 2.3000168691670680e+08 2.2965219544865873e+08 2.2927817018230879e+08 2.2887272984199387e+08 2.2843050105265129e+08 2.2794495419053763e+08 2.2740873353003070e+08 2.2681095044858834e+08 2.2615449154962361e+08 2.2541217952072507e+08 2.2457992647173810e+08 2.2364565742974758e+08 2.2259637769053623e+08 2.2141868644744536e+08 2.2009914200464904e+08 2.1862256983713675e+08 2.1699259593381107e+08 2.1517841521739912e+08 2.1318723344640175e+08 2.1102365635558829e+08 2.0870465372112027e+08 2.0625909846354869e+08 2.0374194703664565e+08 2.0123469454488125e+08 1.9887277675835249e+08 1.9682249742379847e+08 1.9534851466025892e+08 1.9481796346530056e+08 1.9576537515000400e+08 1.9896765174408826e+08 2.0560215348969680e+08 2.1753247447589669e+08 2.3790160189492786e+08 7.1305061199931949e+07 +7.2990996998998883e+00 4.2954434548987323e+08 4.2950317059055585e+08 4.2943395645289934e+08 4.2934429900138628e+08 4.2925690068306583e+08 4.2920648271716309e+08 4.2920822795224488e+08 4.2923606070058817e+08 4.2926371879644924e+08 4.2928595909852302e+08 4.2930587855478990e+08 4.2932377832559973e+08 4.2933885248462969e+08 4.2935068664190614e+08 4.2935910309587860e+08 4.2936368980088520e+08 4.2936400440494496e+08 4.2935968321409994e+08 4.2935032781515259e+08 4.2933538946013516e+08 4.2931418100730675e+08 4.2928570805953282e+08 4.2924776648403847e+08 4.2919637039565551e+08 4.2913159792164201e+08 4.2905447687166989e+08 4.2896092044184613e+08 4.2884632362863964e+08 4.2870599018037587e+08 4.2853421214427578e+08 4.2832385011702913e+08 4.2806592048574406e+08 4.2774909990988630e+08 4.2735912268693376e+08 4.2687806785142875e+08 4.2628344172735441e+08 4.2554717427069771e+08 4.2463445965702778e+08 4.2350260962281924e+08 4.2209988800497139e+08 4.2022028755722928e+08 4.1786750550861716e+08 4.1494027529770058e+08 4.1132908685083401e+08 4.0692335019894075e+08 4.0162249033875364e+08 3.9535076813312083e+08 3.8807425718750107e+08 3.7981723106422538e+08 3.7067083799898893e+08 3.6079264939726949e+08 3.5040652680417782e+08 3.3978237685678774e+08 3.2917949985049814e+08 3.1883714153798801e+08 3.0895906631212407e+08 2.9968939981425577e+08 2.9111949817881912e+08 2.8328808521883261e+08 2.7620664289214832e+08 2.6984857405777454e+08 2.6418479211271599e+08 2.5916318342383599e+08 2.5474740770435339e+08 2.5088423533954790e+08 2.4752532118701372e+08 2.4463365968365562e+08 2.4216157214795300e+08 2.4006165681540754e+08 2.3830114290427500e+08 2.3683319083754492e+08 2.3562868080452827e+08 2.3465035645901760e+08 2.3386879470808694e+08 2.3324081224872792e+08 2.3272280393613544e+08 2.3228589165410921e+08 2.3190051536110857e+08 2.3153434479547375e+08 2.3127440599538481e+08 2.3101167498702091e+08 2.3074348296461871e+08 2.3046253564752722e+08 2.3017269682256815e+08 2.2986532317318597e+08 2.2955235885504088e+08 2.2920355032283464e+08 2.2883025591950777e+08 2.2842560781275740e+08 2.2798424312417287e+08 2.2749964498643729e+08 2.2696447204363701e+08 2.2636785766208929e+08 2.2571267924616271e+08 2.2497181755004984e+08 2.2414119053853813e+08 2.2320874682796037e+08 2.2216151710052055e+08 2.2098612672851166e+08 2.1966916027570423e+08 2.1819547355330753e+08 2.1656868204184139e+08 2.1475804563262498e+08 2.1277075395302442e+08 2.1061140374082929e+08 2.0829693162007228e+08 2.0585615410594192e+08 2.0334392029031017e+08 2.0084156670552006e+08 1.9848426139215216e+08 1.9643798760617360e+08 1.9496688454557791e+08 1.9443737059565037e+08 1.9538293159016028e+08 1.9857895211055493e+08 2.0520049264716160e+08 2.1710750754894558e+08 2.3743683957652697e+08 7.1096516437518969e+07 +7.3040680226741461e+00 4.2921557815143609e+08 4.2917443247723848e+08 4.2910526531733686e+08 4.2901566075550115e+08 4.2892830404523498e+08 4.2887788785617083e+08 4.2887958346564668e+08 4.2890733571665961e+08 4.2893490051940572e+08 4.2895703569915831e+08 4.2897683239504427e+08 4.2899458823658556e+08 4.2900949406777763e+08 4.2902113107285655e+08 4.2902931635312253e+08 4.2903363191437137e+08 4.2903362816134244e+08 4.2902893261376983e+08 4.2901913648632783e+08 4.2900367891894913e+08 4.2898185864524144e+08 4.2895266474211377e+08 4.2891387207735735e+08 4.2886145917118502e+08 4.2879545515145677e+08 4.2871685972807997e+08 4.2862156574945402e+08 4.2850493258880424e+08 4.2836221771825796e+08 4.2818765999397045e+08 4.2797406025856626e+08 4.2771236851395762e+08 4.2739118856923050e+08 4.2699617601180553e+08 4.2650932651962411e+08 4.2590806058468634e+08 4.2516422318100858e+08 4.2424292927917010e+08 4.2310142402145493e+08 4.2168792649577421e+08 4.1979548657174987e+08 4.1742860708752799e+08 4.1448615602432197e+08 4.1085886705357957e+08 4.0643652126599431e+08 4.0111904852265346e+08 3.9483133496477181e+08 3.8754015957232201e+08 3.7927051148881406e+08 3.7011417704481673e+08 3.6022919823891109e+08 3.4983963795767277e+08 3.3921529968846363e+08 3.2861516090455538e+08 3.1827794851435173e+08 3.0840679652301389e+08 2.9914520721350682e+08 2.9058397567457175e+08 2.8276138083014923e+08 2.7568855380360037e+08 2.6933868182400852e+08 2.6368252006724718e+08 2.5866789566785449e+08 2.5425841257160714e+08 2.5040085407782212e+08 2.4704690049752468e+08 2.4415956312219983e+08 2.4169121861746484e+08 2.3959452587217200e+08 2.3783675043363479e+08 2.3637112522009557e+08 2.3516856265001428e+08 2.3419186001175061e+08 2.3341162970381826e+08 2.3278475098079661e+08 2.3226768618130434e+08 2.3183159256130978e+08 2.3144695262986678e+08 2.3108149163112223e+08 2.3082205973204878e+08 2.3055984210111871e+08 2.3029217457071075e+08 2.3001177685669935e+08 2.2972250507879049e+08 2.2941573351228896e+08 2.2910337933709413e+08 2.2875525320985156e+08 2.2838268910172766e+08 2.2797883261311731e+08 2.2753833135439202e+08 2.2705468120429155e+08 2.2652055516559726e+08 2.2592510857276314e+08 2.2527120965667003e+08 2.2453179716733745e+08 2.2370279493132442e+08 2.2277217513538274e+08 2.2172699382855964e+08 2.2055390254205436e+08 2.1923951207900277e+08 2.1776870855909085e+08 2.1614509698057443e+08 2.1433800212831107e+08 2.1235459752187252e+08 2.1019947090878394e+08 2.0788952578664562e+08 2.0545352230890939e+08 2.0294620228917259e+08 2.0044874380766854e+08 1.9809604739814863e+08 1.9605377605306593e+08 1.9458555046056575e+08 1.9405707294746369e+08 1.9500078468645287e+08 1.9819055398685780e+08 2.0479914336909068e+08 2.1668287026063427e+08 2.3697243777893651e+08 7.0888484255114734e+07 +7.3090363454484040e+00 4.2888535850698042e+08 4.2884424353812277e+08 4.2877512214645743e+08 4.2868557061245215e+08 4.2859825575928396e+08 4.2854784171960801e+08 4.2854948779684091e+08 4.2857715960642201e+08 4.2860463118754178e+08 4.2862666137238985e+08 4.2864633549396759e+08 4.2866394765462309e+08 4.2867868547885531e+08 4.2869012574040431e+08 4.2869808035398501e+08 4.2870212539507753e+08 4.2870180404520947e+08 4.2869673506081402e+08 4.2868649931116021e+08 4.2867052385753435e+08 4.2864809334599692e+08 4.2861818037475520e+08 4.2857853887473989e+08 4.2852511188210297e+08 4.2845787964486080e+08 4.2837781384057736e+08 4.2828078704826915e+08 4.2816212313597846e+08 4.2801703344952381e+08 4.2783970382996303e+08 4.2762287557271647e+08 4.2735743253446782e+08 4.2703190595720017e+08 4.2663187304283816e+08 4.2613924649216205e+08 4.2553136139866769e+08 4.2477997825062841e+08 4.2385013337278962e+08 4.2269900593262696e+08 4.2127477094031686e+08 4.1936953966721797e+08 4.1698861878969413e+08 4.1403101161611742e+08 4.1038769614955384e+08 4.0594882477089339e+08 4.0061483190504551e+08 3.9431122796229005e+08 3.8700549545296413e+08 3.7872333642263049e+08 3.6955717194319588e+08 3.5966551090973634e+08 3.4927261403575474e+08 3.3864817881368172e+08 3.2805085799158186e+08 3.1771885889599150e+08 3.0785468547066796e+08 2.9860121773535967e+08 2.9004869127407247e+08 2.8223494177960956e+08 2.7517075114200938e+08 2.6882909230699033e+08 2.6318056336398163e+08 2.5817293305752349e+08 2.5376975025984004e+08 2.4991781165776357e+08 2.4656882336896187e+08 2.4368581383137301e+08 2.4122121522639498e+08 2.3912774722813424e+08 2.3737271183950600e+08 2.3590941452530849e+08 2.3470880004151767e+08 2.3373371937404644e+08 2.3295482050262842e+08 2.3232904530566415e+08 2.3181292364716518e+08 2.3137764823735866e+08 2.3099374418332934e+08 2.3062899223188099e+08 2.3037006684566915e+08 2.3010836219348422e+08 2.2984121874584734e+08 2.2956137020496219e+08 2.2927266503034353e+08 2.2896649507193968e+08 2.2865475057300854e+08 2.2830730631660059e+08 2.2793547193256140e+08 2.2753240644266063e+08 2.2709276793827641e+08 2.2661006503442085e+08 2.2607698508104184e+08 2.2548270536022252e+08 2.2483008495430744e+08 2.2409212053893727e+08 2.2326474180789664e+08 2.2233594450110742e+08 2.2129281001371890e+08 2.2012201601596692e+08 2.1881019952937135e+08 2.1734227695530164e+08 2.1572184283495745e+08 2.1391828677217066e+08 2.1193876620137066e+08 2.0978785988703901e+08 2.0748243822633892e+08 2.0505120505491951e+08 2.0254879499135673e+08 2.0005622778475964e+08 1.9770813668743128e+08 1.9566986465565273e+08 1.9420451428284678e+08 1.9367707239263541e+08 1.9461893632006547e+08 1.9780245928479674e+08 2.0439810763121289e+08 2.1625856470160276e+08 2.3650839878853714e+08 7.0680963851151511e+07 +7.3140046682226618e+00 4.2855369778908581e+08 4.2851260576054215e+08 4.2844353165795326e+08 4.2835403563946325e+08 4.2826676318819821e+08 4.2821635165703440e+08 4.2821794830569220e+08 4.2824553973016411e+08 4.2827291816163713e+08 4.2829484347894764e+08 4.2831439521220922e+08 4.2833186394171619e+08 4.2834643408104795e+08 4.2835767800890666e+08 4.2836540246391881e+08 4.2836917761026937e+08 4.2836853942518419e+08 4.2836309792468894e+08 4.2835242366158926e+08 4.2833593165006322e+08 4.2831289248612344e+08 4.2828226233703929e+08 4.2824177425982130e+08 4.2818733591514909e+08 4.2811887879346418e+08 4.2803734660659683e+08 4.2793859174152243e+08 4.2781790268032128e+08 4.2767044479281008e+08 4.2749035108027816e+08 4.2727030349817789e+08 4.2700111999877352e+08 4.2667125953755581e+08 4.2626622125898314e+08 4.2576783526243949e+08 4.2515335167887658e+08 4.2439444700468147e+08 4.2345607947772688e+08 4.2229536290810853e+08 4.2086042889878178e+08 4.1894245440525311e+08 4.1654754816655242e+08 4.1357484959693736e+08 4.0991558160972762e+08 4.0546026810213053e+08 4.0010984775364578e+08 3.9379045422643000e+08 3.8647027171527743e+08 3.7817571248516285e+08 3.6899982900073183e+08 3.5910159336667579e+08 3.4870546062058926e+08 3.3808101943075031e+08 3.2748659593254352e+08 3.1715987714787424e+08 3.0730273729217792e+08 2.9805743522454202e+08 2.8951364856492984e+08 2.8170877143298638e+08 2.7465323808331549e+08 2.6831980852037391e+08 2.6267892487895113e+08 2.5767829835158104e+08 2.5328142342869905e+08 2.4943511065431616e+08 2.4609109230543140e+08 2.4321241425535151e+08 2.4075156436910963e+08 2.3866132323720190e+08 2.3690902944214469e+08 2.3544806104634482e+08 2.3424939525161120e+08 2.3327593680200264e+08 2.3249836934832147e+08 2.3187369745846933e+08 2.3135851856226724e+08 2.3092406090590695e+08 2.3054089224074748e+08 2.3017684881309682e+08 2.2991842954925567e+08 2.2965723747544611e+08 2.2939061769791731e+08 2.2911131789787287e+08 2.2882317887993965e+08 2.2851761005157349e+08 2.2820647475941485e+08 2.2785971183671802e+08 2.2748860660160509e+08 2.2708633148731285e+08 2.2664755505779493e+08 2.2616579865387928e+08 2.2563376396217820e+08 2.2504065019085577e+08 2.2438930729902130e+08 2.2365278981752908e+08 2.2282703331363919e+08 2.2190005706112766e+08 2.2085896778237393e+08 2.1969046926505235e+08 2.1838122472895458e+08 2.1691618083005956e+08 2.1529892167771262e+08 2.1349890161946368e+08 2.1152326202795318e+08 2.0937657269128954e+08 2.0707567093249199e+08 2.0464920431336495e+08 2.0215170034275040e+08 1.9966402055928952e+08 1.9732053115958336e+08 1.9528625529383367e+08 1.9382377787773374e+08 1.9329737079197690e+08 1.9423738836075142e+08 1.9741466990474412e+08 2.0399738739716643e+08 2.1583459294932660e+08 2.3604472487720448e+08 7.0473954422937542e+07 +7.3189729909969197e+00 4.2822059438789052e+08 4.2817953198283571e+08 4.2811050336202317e+08 4.2802106303242642e+08 4.2793383373124647e+08 4.2788342500910628e+08 4.2788497234215254e+08 4.2791248343706143e+08 4.2793976879267877e+08 4.2796158936903650e+08 4.2798101890131533e+08 4.2799834445108181e+08 4.2801274722765535e+08 4.2802379523300833e+08 4.2803129003834975e+08 4.2803479591628379e+08 4.2803384165905076e+08 4.2802802856604755e+08 4.2801691689968848e+08 4.2799990966001338e+08 4.2797626343293297e+08 4.2794491799829012e+08 4.2790358560462952e+08 4.2784813864648408e+08 4.2777845997802025e+08 4.2769546541236258e+08 4.2759498722109467e+08 4.2747227862203568e+08 4.2732245915572244e+08 4.2713960916253853e+08 4.2691635146305394e+08 4.2664343834642047e+08 4.2630925676348275e+08 4.2589922812601459e+08 4.2539510031224376e+08 4.2477403892182195e+08 4.2400763695601213e+08 4.2306077512091470e+08 4.2189050248713160e+08 4.2044490791823792e+08 4.1851423833328915e+08 4.1610540275350779e+08 4.1311767747299707e+08 4.0944253088745707e+08 4.0497085862925279e+08 3.9960410331573790e+08 3.9326902083786863e+08 3.8593449522258949e+08 3.7762764627344710e+08 3.6844215450176001e+08 3.5853745154310918e+08 3.4813818327072412e+08 3.3751382671565390e+08 3.2692237952735412e+08 3.1660100771308184e+08 3.0675095610443795e+08 2.9751386350552899e+08 2.8897885111641848e+08 2.8118287313797241e+08 2.7413601778568727e+08 2.6781083346087760e+08 2.6217760747125942e+08 2.5718399429243487e+08 2.5279343472150254e+08 2.4895275362722427e+08 2.4561370979577082e+08 2.4273936682381183e+08 2.4028226842596516e+08 2.3819525623835272e+08 2.3644570554788935e+08 2.3498706706283450e+08 2.3379035053828335e+08 2.3281851453806701e+08 2.3204227847113276e+08 2.3141870966044366e+08 2.3090447314118296e+08 2.3047083277694374e+08 2.3008839900807542e+08 2.2972506357723007e+08 2.2946715004265124e+08 2.2920647014320940e+08 2.2894037362200361e+08 2.2866162212737831e+08 2.2837404881678161e+08 2.2806908063784680e+08 2.2775855407981092e+08 2.2741247195015731e+08 2.2704209528535080e+08 2.2664060991962075e+08 2.2620269488099590e+08 2.2572188422660309e+08 2.2519089396746182e+08 2.2459894521755636e+08 2.2394887883756402e+08 2.2321380714270899e+08 2.2238967158007306e+08 2.2146451493848941e+08 2.2042546924696612e+08 2.1925926439084914e+08 2.1795258976719999e+08 2.1649042225859365e+08 2.1487633556849459e+08 2.1307984871281645e+08 2.1110808702502146e+08 2.0896561132468659e+08 2.0666922588612029e+08 2.0424752204258722e+08 2.0175492027735728e+08 1.9927212404101154e+08 1.9693323270218435e+08 1.9490294983601946e+08 1.9344334309988132e+08 1.9291796999477911e+08 1.9385614266694102e+08 1.9702718773549980e+08 2.0359698461867219e+08 2.1541095706871516e+08 2.3558141830339110e+08 7.0267455166673809e+07 +7.3239413137711775e+00 4.2788606073542243e+08 4.2784502942293209e+08 4.2777604587157995e+08 4.2768666031566244e+08 4.2759947480457646e+08 4.2754906910816246e+08 4.2755056724689966e+08 4.2757799806665289e+08 4.2760519042083609e+08 4.2762690638381994e+08 4.2764621390279335e+08 4.2766339652508539e+08 4.2767763226281023e+08 4.2768848475730151e+08 4.2769575042365479e+08 4.2769898766071969e+08 4.2769771809618109e+08 4.2769153433524275e+08 4.2767998637748492e+08 4.2766246524274987e+08 4.2763821354238927e+08 4.2760615471809578e+08 4.2756398027245915e+08 4.2750752744298881e+08 4.2743663056963092e+08 4.2735217763393688e+08 4.2724998087027425e+08 4.2712525835004920e+08 4.2697308393624574e+08 4.2678748548339778e+08 4.2656102688374192e+08 4.2628439500613344e+08 4.2594590507502961e+08 4.2553090109944636e+08 4.2502104911072230e+08 4.2439343061289227e+08 4.2361955560400802e+08 4.2266422781573570e+08 4.2148443219485283e+08 4.2002821553004396e+08 4.1808489898238641e+08 4.1566219006917977e+08 4.1265950273275578e+08 4.0896855141841412e+08 4.0448060370216972e+08 3.9909760581800383e+08 3.9274693485479194e+08 3.8539817281659222e+08 3.7707914436219341e+08 3.6788415470692039e+08 3.5797309134936380e+08 3.4757078752226901e+08 3.3694660582106334e+08 3.2635821355339718e+08 3.1604225501357657e+08 3.0619934600353712e+08 2.9697050638366169e+08 2.8844430247845215e+08 2.8065725022452515e+08 2.7361909339011741e+08 2.6730217010812530e+08 2.6167661398391095e+08 2.5669002360694286e+08 2.5230578676680136e+08 2.4847074312161145e+08 2.4513667831473270e+08 2.4226667395235467e+08 2.3981332976300883e+08 2.3772954855690965e+08 2.3598274244817090e+08 2.3452643483993563e+08 2.3333166814624646e+08 2.3236145481071156e+08 2.3158655008782977e+08 2.3096408411952347e+08 2.3045078958545408e+08 2.3001796604665071e+08 2.2963626667751113e+08 2.2927363871300828e+08 2.2901623051200175e+08 2.2875606238117123e+08 2.2849048869886959e+08 2.2821228507172820e+08 2.2792527701644984e+08 2.2762090900343916e+08 2.2731099070374975e+08 2.2696558882318720e+08 2.2659594014661375e+08 2.2619524389868262e+08 2.2575818956297866e+08 2.2527832390282759e+08 2.2474837724241227e+08 2.2415759258013418e+08 2.2350880170349392e+08 2.2277517464128515e+08 2.2195265872586042e+08 2.2102932024296063e+08 2.1999231650787050e+08 2.1882840348247457e+08 2.1752429672038668e+08 2.1606500330336431e+08 2.1445408655433917e+08 2.1266113008199739e+08 2.1069324320386076e+08 2.0855497777774036e+08 2.0626310505622599e+08 2.0384616018829060e+08 2.0135845671733460e+08 1.9888054012874144e+08 1.9654624319158441e+08 1.9451995013884920e+08 1.9306321179223847e+08 1.9253887183920053e+08 1.9347520108541048e+08 1.9664001465399840e+08 2.0319690123544636e+08 2.1498765911214069e+08 2.3511848131117961e+08 7.0061465277470514e+07 +7.3289096365454354e+00 4.2755010372363031e+08 4.2750910246137065e+08 4.2744016578297627e+08 4.2735083510212749e+08 4.2726369379385734e+08 4.2721329127964854e+08 4.2721474035077530e+08 4.2724209094825429e+08 4.2726919037818408e+08 4.2729080185380733e+08 4.2730998754872656e+08 4.2732702749680883e+08 4.2734109652035403e+08 4.2735175391730833e+08 4.2735879095616543e+08 4.2736176018120229e+08 4.2736017607524556e+08 4.2735362257266319e+08 4.2734163943745846e+08 4.2732360574153244e+08 4.2729875016127849e+08 4.2726597984579003e+08 4.2722296561528754e+08 4.2716550966032815e+08 4.2709339792868805e+08 4.2700749063714671e+08 4.2690358006036669e+08 4.2677684924370861e+08 4.2662232652123976e+08 4.2643398743827391e+08 4.2620433716678607e+08 4.2592399739424342e+08 4.2558121190311480e+08 4.2516124762275910e+08 4.2464568911578369e+08 4.2401153422362977e+08 4.2323021043520653e+08 4.2226644506246418e+08 4.2107715954121512e+08 4.1961035925126636e+08 4.1765444386842632e+08 4.1521791761603332e+08 4.1220033284791607e+08 4.0849365061806011e+08 4.0398951065126550e+08 3.9859036246733671e+08 3.9222420331552160e+08 3.8486131131645125e+08 3.7653021330243754e+08 3.6732583585425752e+08 3.5740851867287791e+08 3.4700327888846385e+08 3.3637936187803334e+08 3.2579410276602066e+08 3.1548362345041406e+08 3.0564791106517452e+08 2.9642736764441586e+08 2.8791000618227559e+08 2.8013190600404537e+08 2.7310246801990330e+08 2.6679382142559841e+08 2.6117594724365556e+08 2.5619638900622651e+08 2.5181848217720380e+08 2.4798908166698498e+08 2.4466000032186744e+08 2.4179433804131213e+08 2.3934475073187000e+08 2.3726420250397652e+08 2.3552014242159176e+08 2.3406616662939924e+08 2.3287335030623817e+08 2.3190475983472013e+08 2.3113118640118077e+08 2.3050982302978376e+08 2.2999747008247629e+08 2.2956546289778936e+08 2.2918449742768487e+08 2.2882257639512876e+08 2.2856567312984729e+08 2.2830601635912794e+08 2.2804096509630418e+08 2.2776330889604408e+08 2.2747686564158177e+08 2.2717309730768821e+08 2.2686378678766975e+08 2.2651906460915005e+08 2.2615014333535850e+08 2.2575023557055014e+08 2.2531404124564317e+08 2.2483511981986600e+08 2.2430621591908732e+08 2.2371659440510532e+08 2.2306907801726970e+08 2.2233689442649913e+08 2.2151599685666099e+08 2.2059447507139462e+08 2.1955951165190336e+08 2.1839788861584154e+08 2.1709634765208027e+08 2.1563992601421925e+08 2.1403217666977745e+08 2.1224274774443108e+08 2.1027873256342706e+08 2.0814467402922258e+08 2.0585731039962718e+08 2.0344512068445188e+08 2.0096231157277805e+08 1.9848927070904568e+08 1.9615956449223477e+08 1.9413725804780769e+08 1.9268338578592741e+08 1.9216007815148386e+08 1.9309456545148644e+08 1.9625315252601421e+08 2.0279713917504796e+08 2.1456470111907354e+08 2.3465591613127813e+08 6.9855983949363470e+07 +7.3338779593196932e+00 4.2721273365352768e+08 4.2717175871140617e+08 4.2710286898535448e+08 4.2701359471642858e+08 4.2692649802053273e+08 4.2687609884327906e+08 4.2687749897375518e+08 4.2690476940010935e+08 4.2693177598489141e+08 4.2695328310041362e+08 4.2697234716047108e+08 4.2698924468927562e+08 4.2700314732412004e+08 4.2701361003729111e+08 4.2702041896102673e+08 4.2702312080506790e+08 4.2702122292491651e+08 4.2701430060863113e+08 4.2700188341106784e+08 4.2698333849097496e+08 4.2695788062632918e+08 4.2692440072050411e+08 4.2688054897570628e+08 4.2682209264495438e+08 4.2674876940569717e+08 4.2666141177740717e+08 4.2655579215283000e+08 4.2642705867107797e+08 4.2627019428661186e+08 4.2607912241225559e+08 4.2584628970639402e+08 4.2556225291752464e+08 4.2521518466486305e+08 4.2479027512627834e+08 4.2426902777207375e+08 4.2362835721383595e+08 4.2283960892327362e+08 4.2186743434677660e+08 4.2066869202310550e+08 4.1919134658438414e+08 4.1722288049229825e+08 4.1477259288014716e+08 4.1174017527285516e+08 4.0801783588567764e+08 4.0349758678884226e+08 3.9808238044940054e+08 3.9170083323578894e+08 3.8432391752047259e+08 3.7598085962348688e+08 3.6676720415876502e+08 3.5684373937776327e+08 3.4643566285908526e+08 3.3581209999444491e+08 3.2523005189867502e+08 3.1492511740305310e+08 3.0509665534506673e+08 2.9588445105369937e+08 2.8737596574052513e+08 2.7960684377024275e+08 2.7258614478134179e+08 2.6628579035939211e+08 2.6067561006131971e+08 2.5570309318541175e+08 2.5133152355036551e+08 2.4750777177826071e+08 2.4418367826175672e+08 2.4132236147703347e+08 2.3887653366982251e+08 2.3679922037666252e+08 2.3505790773175484e+08 2.3360626466883281e+08 2.3241539923535717e+08 2.3144843181095743e+08 2.3067618960034546e+08 2.3005592857163122e+08 2.2954451680642706e+08 2.2911332549930882e+08 2.2873309342394111e+08 2.2837187878566602e+08 2.2811548005521354e+08 2.2785633423384574e+08 2.2759180496823886e+08 2.2731469575209641e+08 2.2702881684071735e+08 2.2672564769688898e+08 2.2641694447497258e+08 2.2607290144781265e+08 2.2570470698779449e+08 2.2530558706757349e+08 2.2487025205722198e+08 2.2439227410142133e+08 2.2386441211634651e+08 2.2327595280583292e+08 2.2262970988593107e+08 2.2189896859857705e+08 2.2107968806515145e+08 2.2015998150757861e+08 2.1912705675317594e+08 2.1796772185404333e+08 2.1666874461317250e+08 2.1521519242824101e+08 2.1361060793666628e+08 2.1182470370540148e+08 2.0986455708989677e+08 2.0773470204521847e+08 2.0545184386084798e+08 2.0304440545271578e+08 2.0056648674230793e+08 1.9809831765714976e+08 1.9577319845706061e+08 1.9375487539679152e+08 1.9230386690153086e+08 1.9178159074703243e+08 1.9271423758957058e+08 1.9586660320516005e+08 2.0239770035328421e+08 2.1414208511656144e+08 2.3419372498018390e+08 6.9651010375330642e+07 +7.3388462820939511e+00 4.2687395037791902e+08 4.2683300664605570e+08 4.2676416344045347e+08 4.2667494643975341e+08 4.2658789474941069e+08 4.2653749911028039e+08 4.2653885042603058e+08 4.2656604072960371e+08 4.2659295455212194e+08 4.2661435743475813e+08 4.2663330005059195e+08 4.2665005541578656e+08 4.2666379198800552e+08 4.2667406043245637e+08 4.2668064175534612e+08 4.2668307684891582e+08 4.2668086596352237e+08 4.2667357576307106e+08 4.2666072562107211e+08 4.2664167081523621e+08 4.2661561226337445e+08 4.2658142467145735e+08 4.2653673768613601e+08 4.2647728373221010e+08 4.2640275234032965e+08 4.2631394839980918e+08 4.2620662449881983e+08 4.2607589398907548e+08 4.2591669459698969e+08 4.2572289777935725e+08 4.2548689188683188e+08 4.2519916896992826e+08 4.2484783076745021e+08 4.2441799102983958e+08 4.2389107251282066e+08 4.2324390703036326e+08 4.2244775852856988e+08 4.2146720314198768e+08 4.2025903712336951e+08 4.1877118501649219e+08 4.1679021633801508e+08 4.1432622333130348e+08 4.1127903744429028e+08 4.0754111460114896e+08 4.0300483940644526e+08 3.9757366693091822e+08 3.9117683161114085e+08 3.8378599820342308e+08 3.7543108983141756e+08 3.6620826581194240e+08 3.5627875930493307e+08 3.4586794490112638e+08 3.3524482525556117e+08 3.2466606566300958e+08 3.1436674122974032e+08 3.0454558287794787e+08 2.9534176035826832e+08 2.8684218464681381e+08 2.7908206679859799e+08 2.7207012676295733e+08 2.6577807983931309e+08 2.6017560523105189e+08 2.5521013882400167e+08 2.5084491346828735e+08 2.4702681595482668e+08 2.4370771456471846e+08 2.4085074663118097e+08 2.3840868089993626e+08 2.3633460445764711e+08 2.3459604062924874e+08 2.3314673118201891e+08 2.3195781713687703e+08 2.3099247292743891e+08 2.3022156186128286e+08 2.2960240291228470e+08 2.2909193191801095e+08 2.2866155600729755e+08 2.2828205681794655e+08 2.2792154803248903e+08 2.2766565343428215e+08 2.2740701814856330e+08 2.2714301045595732e+08 2.2686644777790087e+08 2.2658113274944577e+08 2.2627856230345145e+08 2.2597046589495257e+08 2.2562710146551359e+08 2.2525963322684038e+08 2.2486130050905856e+08 2.2442682411301968e+08 2.2394978885842493e+08 2.2342296794010949e+08 2.2283566988268620e+08 2.2219069940380326e+08 2.2146139924500462e+08 2.2064373443072242e+08 2.1972584162249434e+08 2.1869495387294710e+08 2.1753790524730414e+08 2.1624148964181545e+08 2.1479080456986994e+08 2.1318938236424890e+08 2.1140699995713210e+08 2.0945071875729224e+08 2.0732506377995104e+08 2.0504670737248689e+08 2.0264401640315893e+08 2.0017098411228421e+08 1.9770768283611077e+08 1.9538714692780888e+08 1.9337280400817934e+08 1.9192465694774777e+08 1.9140341142981219e+08 1.9233421931212500e+08 1.9548036853395429e+08 2.0199858667395297e+08 2.1371981311870775e+08 2.3373191006086424e+08 6.9446543747308493e+07 +7.3438146048682089e+00 4.2653377138250577e+08 4.2649285523884195e+08 4.2642405742871594e+08 4.2633489765600020e+08 4.2624789122033805e+08 4.2619749938452893e+08 4.2619880200657094e+08 4.2622591223489064e+08 4.2625273338043463e+08 4.2627403215756148e+08 4.2629285351983535e+08 4.2630946697837156e+08 4.2632303781596106e+08 4.2633311240745276e+08 4.2633946664435852e+08 4.2634163562052029e+08 4.2633911250003237e+08 4.2633145534630597e+08 4.2631817337862122e+08 4.2629861002775836e+08 4.2627195238953632e+08 4.2623705901682633e+08 4.2619153906771368e+08 4.2613109024724501e+08 4.2605535406197292e+08 4.2596510783862334e+08 4.2585608443773776e+08 4.2572336254548848e+08 4.2556183480725402e+08 4.2536532090209669e+08 4.2512615107987660e+08 4.2483475293469775e+08 4.2447915760467631e+08 4.2404440274035454e+08 4.2351183075886995e+08 4.2285819110698098e+08 4.2205466669870943e+08 4.2106575890704834e+08 4.1984820230963892e+08 4.1834988202027541e+08 4.1635645887542719e+08 4.1387881642323899e+08 4.1081692678132445e+08 4.0706349412600046e+08 4.0251127577718109e+08 3.9706422905664605e+08 3.9065220541480869e+08 3.8324756011851221e+08 3.7488091041002458e+08 3.6564902698271972e+08 3.5571358427223521e+08 3.4530013045891845e+08 3.3467754272435963e+08 3.2410214874901003e+08 3.1380849926799750e+08 3.0399469767861861e+08 2.9479929928469771e+08 2.8630866637660551e+08 2.7855757834688121e+08 2.7155441703661585e+08 2.6527069277814311e+08 2.5967593553092933e+08 2.5471752858610901e+08 2.5035865449811247e+08 2.4654621668186986e+08 2.4323211164637703e+08 2.4037949586121687e+08 2.3794119473083439e+08 2.3587035701579002e+08 2.3413454334995246e+08 2.3268756837924570e+08 2.3150060620008719e+08 2.3053688535746738e+08 2.2976730534597206e+08 2.2914924820525301e+08 2.2863971756444916e+08 2.2821015656384382e+08 2.2783138974798408e+08 2.2747158627043664e+08 2.2721619539908591e+08 2.2695807023325464e+08 2.2669458368645331e+08 2.2641856709809107e+08 2.2613381548984015e+08 2.2583184324673095e+08 2.2552435316442662e+08 2.2518166677588639e+08 2.2481492416240096e+08 2.2441737800127578e+08 2.2398375951513642e+08 2.2350766618834078e+08 2.2298188548281839e+08 2.2239574772254115e+08 2.2175204865161556e+08 2.2102418843973365e+08 2.2020813802002758e+08 2.1929205747414011e+08 2.1826320505938056e+08 2.1710844083316630e+08 2.1581458476323587e+08 2.1436676445070454e+08 2.1276850194928867e+08 2.1098963847951317e+08 2.0903721952739322e+08 2.0691576117498177e+08 2.0464190285496888e+08 2.0224395543353322e+08 1.9977580555781874e+08 1.9731736809801733e+08 1.9500141173422539e+08 1.9299104569337261e+08 1.9154575772210333e+08 1.9102554199257404e+08 1.9195451242074037e+08 1.9509445034312424e+08 2.0159980002899802e+08 2.1329788712735516e+08 2.3327047356245375e+08 6.9242583256207988e+07 +7.3487829276424668e+00 4.2619219186307991e+08 4.2615130774137896e+08 4.2608255781952041e+08 4.2599345560985631e+08 4.2590649466739750e+08 4.2585610696041983e+08 4.2585736100477940e+08 4.2588439120280099e+08 4.2591111975907689e+08 4.2593231455941117e+08 4.2595101486074805e+08 4.2596748667046809e+08 4.2598089210152864e+08 4.2599077325679415e+08 4.2599690092395949e+08 4.2599880441623259e+08 4.2599596983209389e+08 4.2598794665795046e+08 4.2597423398570532e+08 4.2595416343185538e+08 4.2592690830930537e+08 4.2589131106489336e+08 4.2584496043164825e+08 4.2578351950486439e+08 4.2570658188915354e+08 4.2561489741712713e+08 4.2550417929969358e+08 4.2536947167517537e+08 4.2520562226024348e+08 4.2500639913234812e+08 4.2476407464675772e+08 4.2446901218321496e+08 4.2410917256015450e+08 4.2366951765369672e+08 4.2313130991790617e+08 4.2247121686577284e+08 4.2166034086735600e+08 4.2066310908744019e+08 4.1943619503565574e+08 4.1792744505366856e+08 4.1592161555748081e+08 4.1343037959140044e+08 4.1035385068651479e+08 4.0658498180350113e+08 4.0201690315410775e+08 3.9655407395251477e+08 3.9012696159986109e+08 3.8270860999744666e+08 3.7433032782024425e+08 3.6508949381697243e+08 3.5514822007482153e+08 3.4473222495328611e+08 3.3411025744128925e+08 3.2353830582413733e+08 3.1325039583380997e+08 3.0344400374186265e+08 2.9425707154088360e+08 2.8577541438612413e+08 2.7803338165491396e+08 2.7103901865644997e+08 2.6476363207238218e+08 2.5917660372332627e+08 2.5422526511956260e+08 2.4987274919109267e+08 2.4606597642889240e+08 2.4275687190742603e+08 2.3990861151005688e+08 2.3747407745760942e+08 2.3540648030590549e+08 2.3367341811632854e+08 2.3222877845688921e+08 2.3104376860114139e+08 2.3008167126172709e+08 2.2931342220293301e+08 2.2869646659017706e+08 2.2818787587894195e+08 2.2775912929781574e+08 2.2738109433892456e+08 2.2702199562134722e+08 2.2676710806845352e+08 2.2650949260463133e+08 2.2624652677407914e+08 2.2597105582463089e+08 2.2568686717120412e+08 2.2538549263305664e+08 2.2507860838640547e+08 2.2473659947850913e+08 2.2437058189105037e+08 2.2397382163689485e+08 2.2354106035216546e+08 2.2306590817543536e+08 2.2254116682414946e+08 2.2195618839968583e+08 2.2131375969764334e+08 2.2058733824429098e+08 2.1977290088651189e+08 2.1885863110743800e+08 2.1783181234804088e+08 2.1667933063641053e+08 2.1538803199020439e+08 2.1394307407024869e+08 2.1234796867584112e+08 2.1057262124058449e+08 2.0862406134985828e+08 2.0650679616011915e+08 2.0423743221672210e+08 2.0184422443025261e+08 1.9938095294172740e+08 1.9692737528298727e+08 1.9461599469502348e+08 1.9260960225193033e+08 1.9116717101115075e+08 1.9064798421674982e+08 1.9157511870537940e+08 1.9470885045238140e+08 2.0120134229855695e+08 2.1287630913158643e+08 2.3280941766032165e+08 6.9039128091931075e+07 +7.3537512504167246e+00 4.2584922816297197e+08 4.2580837462942666e+08 4.2573967253874058e+08 4.2565062751687765e+08 4.2556371232510769e+08 4.2551332912171102e+08 4.2551453469855118e+08 4.2554148490985948e+08 4.2556812096853155e+08 4.2558921192173195e+08 4.2560779135457218e+08 4.2562412177448642e+08 4.2563736212766814e+08 4.2564705026484185e+08 4.2565295187969619e+08 4.2565459052347636e+08 4.2565144524853241e+08 4.2564305698741186e+08 4.2562891473302263e+08 4.2560833832068825e+08 4.2558048731840980e+08 4.2554418811435109e+08 4.2549700907910204e+08 4.2543457880907995e+08 4.2535644313059372e+08 4.2526332444892389e+08 4.2515091640275735e+08 4.2501422870333427e+08 4.2484806428845209e+08 4.2464613981019235e+08 4.2440066993706673e+08 4.2410195407547939e+08 4.2373788300444585e+08 4.2329334315243602e+08 4.2274951738572562e+08 4.2208299171420324e+08 4.2126478845552492e+08 4.2025926111478806e+08 4.1902302274179703e+08 4.1750388155897248e+08 4.1548569382219392e+08 4.1298092025684118e+08 4.0988981654424071e+08 4.0610558495825851e+08 4.0152172877145690e+08 3.9604320872291982e+08 3.8960110709725720e+08 3.8216915454898375e+08 3.7377934850030226e+08 3.6452967243743420e+08 3.5458267248372978e+08 3.4416423378289670e+08 3.3354297442443126e+08 3.2297454153460610e+08 3.1269243522234523e+08 3.0289350504154646e+08 2.9371508081476533e+08 2.8524243211346829e+08 2.7750947994475031e+08 2.7052393465963906e+08 2.6425690060190892e+08 2.5867761255441475e+08 2.5373335105712846e+08 2.4938720008385965e+08 2.4558609765115777e+08 2.4228199773419443e+08 2.3943809590629703e+08 2.3700733136069524e+08 2.3494297656917298e+08 2.3321266713689691e+08 2.3177036359745088e+08 2.3058730650230861e+08 2.2962683278679046e+08 2.2885991456764910e+08 2.2824406019399634e+08 2.2773640898216158e+08 2.2730847632467294e+08 2.2693117270244971e+08 2.2657277819279745e+08 2.2631839354852748e+08 2.2606128736574736e+08 2.2579884181932789e+08 2.2552391605553117e+08 2.2524028988880703e+08 2.2493951255500236e+08 2.2463323365077347e+08 2.2429190166032723e+08 2.2392660849611875e+08 2.2353063349560079e+08 2.2309872869997597e+08 2.2262451689119181e+08 2.2210081403029966e+08 2.2151699397505063e+08 2.2087583459684891e+08 2.2015085070654869e+08 2.1933802507095173e+08 2.1842556455488223e+08 2.1740077776174226e+08 2.1625057666882455e+08 2.1496183332254022e+08 2.1351973541480917e+08 2.1192778451596075e+08 2.1015595019544718e+08 2.0821124616150394e+08 2.0609817065297514e+08 2.0383329735441414e+08 2.0144482526711485e+08 1.9898642811542514e+08 1.9653770621959475e+08 1.9423089761697739e+08 1.9222847547239551e+08 1.9078889858966500e+08 1.9027073987254271e+08 1.9119603994521466e+08 1.9432357066953525e+08 2.0080321535081398e+08 2.1245508110837364e+08 2.3234874451621550e+08 6.8836177443386599e+07 +7.3587195731909825e+00 4.2550488816431904e+08 4.2546406184907502e+08 4.2539540956882972e+08 4.2530642052648014e+08 4.2521955143007642e+08 4.2516917314100069e+08 4.2517033035586941e+08 4.2519720062204790e+08 4.2522374427736974e+08 4.2524473151403004e+08 4.2526319027267963e+08 4.2527937956179035e+08 4.2529245516808170e+08 4.2530195070579630e+08 4.2530762678606856e+08 4.2530900121757263e+08 4.2530554602610499e+08 4.2529679361383551e+08 4.2528222290137267e+08 4.2526114197692573e+08 4.2523269670173258e+08 4.2519569745171249e+08 4.2514769229980087e+08 4.2508427545345390e+08 4.2500494508346170e+08 4.2491039623612922e+08 4.2479630305459458e+08 4.2465764094438952e+08 4.2448916821295530e+08 4.2428455026495272e+08 4.2403594428898251e+08 4.2373358595947939e+08 4.2336529629739219e+08 4.2291588660751206e+08 4.2236646054589719e+08 4.2169352304873598e+08 4.2086801687046200e+08 4.1985422240650719e+08 4.1860869285225093e+08 4.1707919896386373e+08 4.1504870109144205e+08 4.1253044582255906e+08 4.0942483172114527e+08 4.0562531089698380e+08 4.0102575984332490e+08 3.9553164045237732e+08 3.8907464881688619e+08 3.8162920046079403e+08 3.7322797886590195e+08 3.6396956894357193e+08 3.5401694724820381e+08 3.4359616232313573e+08 3.3297569866942805e+08 3.2241086050487989e+08 3.1213462170768404e+08 3.0234320553189188e+08 2.9317333077506113e+08 2.8470972297797322e+08 2.7698587642022127e+08 2.7000916806619865e+08 2.6375050122965693e+08 2.5817896475392124e+08 2.5324178901578486e+08 2.4890200969755387e+08 2.4510658278876364e+08 2.4180749149862969e+08 2.3896795136428717e+08 2.3654095870638058e+08 2.3447984803206229e+08 2.3275229260665399e+08 2.3131232597011116e+08 2.3013122205258060e+08 2.2917237206582519e+08 2.2840678456123108e+08 2.2779203112983429e+08 2.2728531898097667e+08 2.2685819974654034e+08 2.2648162693679649e+08 2.2612393607962313e+08 2.2587005393140784e+08 2.2561345660679439e+08 2.2535153091020936e+08 2.2507714987585053e+08 2.2479408572492293e+08 2.2449390509252843e+08 2.2418823103452528e+08 2.2384757539500546e+08 2.2348300604801279e+08 2.2308781564434332e+08 2.2265676662118313e+08 2.2218349439392990e+08 2.2166082915484193e+08 2.2107816649665284e+08 2.2043827539116693e+08 2.1971472786229229e+08 2.1890351260138297e+08 2.1799285983557877e+08 2.1697010331030503e+08 2.1582218092997006e+08 2.1453599074773136e+08 2.1309675045860443e+08 2.1150795142869279e+08 2.0973962728694487e+08 2.0779877588761687e+08 2.0568988655876994e+08 2.0342950015239212e+08 2.0104575980706364e+08 1.9859223291871762e+08 1.9614836272483957e+08 1.9384612229637986e+08 1.9184766713203305e+08 1.9041094222181347e+08 1.8989381071915829e+08 1.9081727790771300e+08 1.9393861279117334e+08 2.0040542104231140e+08 2.1203420502171522e+08 2.3188845627819550e+08 6.8633730498506173e+07 +7.3636878959652403e+00 4.2515917097340447e+08 4.2511837618400759e+08 4.2504977493992472e+08 4.2496084180017853e+08 4.2487401923576164e+08 4.2482364627960372e+08 4.2482475523461694e+08 4.2485154559583783e+08 4.2487799694486874e+08 4.2489888059702557e+08 4.2491721887574816e+08 4.2493326729432452e+08 4.2494617848512316e+08 4.2495548184249640e+08 4.2496093290816933e+08 4.2496204376506799e+08 4.2495827943208963e+08 4.2494916380584174e+08 4.2493416576122040e+08 4.2491258167279047e+08 4.2488354373305458e+08 4.2484584635360718e+08 4.2479701737351424e+08 4.2473261672082555e+08 4.2465209503456217e+08 4.2455612006948084e+08 4.2444034655197728e+08 4.2429971570058906e+08 4.2412894134323162e+08 4.2392163781454617e+08 4.2366990502946055e+08 4.2336391517160547e+08 4.2299141978556037e+08 4.2253715537764180e+08 4.2198214676848239e+08 4.2130281825217110e+08 4.2047003350676042e+08 4.1944800036684728e+08 4.1819321277832419e+08 4.1665340468097806e+08 4.1461064477113771e+08 4.1207896367560339e+08 4.0895890356721580e+08 4.0514416690693235e+08 4.0052900356445450e+08 3.9501937620444357e+08 3.8854759364740700e+08 3.8108875439721537e+08 3.7267622531004673e+08 3.6340918941244751e+08 3.5345105009379989e+08 3.4302801592641264e+08 3.3240843514949638e+08 3.2184726733718097e+08 3.1157695954320091e+08 3.0179310914677435e+08 2.9263182507146490e+08 2.8417729038044757e+08 2.7646257426787919e+08 2.6949472187905097e+08 2.6324443680259669e+08 2.5768066303625003e+08 2.5275058159720489e+08 2.4841718053839415e+08 2.4462743426698419e+08 2.4133335555770430e+08 2.3849818018406159e+08 2.3607496174733058e+08 2.3401709690807471e+08 2.3229229670629451e+08 2.3085466773001173e+08 2.2967551738690647e+08 2.2871829121876964e+08 2.2795403429255787e+08 2.2734038149727449e+08 2.2683460796886671e+08 2.2640830165217179e+08 2.2603245912680247e+08 2.2567547136342749e+08 2.2542209129619732e+08 2.2516600240447578e+08 2.2490459612102211e+08 2.2463075935766995e+08 2.2434825674926385e+08 2.2404867231192452e+08 2.2374360260105306e+08 2.2340362274316883e+08 2.2303977660378388e+08 2.2264537013628653e+08 2.2221517616524014e+08 2.2174284272866982e+08 2.2122121423815775e+08 2.2063970799950323e+08 2.2000108410984775e+08 2.1927897173350069e+08 2.1846936549260750e+08 2.1756051895626846e+08 2.1653979099084023e+08 2.1539414540633738e+08 2.1411050624065879e+08 2.1267412116320655e+08 2.1108847136101297e+08 2.0932365444580334e+08 2.0738665244078249e+08 2.0528194577098092e+08 2.0302604248317641e+08 2.0064702990040773e+08 1.9819836917969492e+08 1.9575934660436103e+08 1.9346167051702103e+08 1.9146717899675399e+08 1.9003330366012299e+08 1.8951719850461587e+08 1.9043883434948108e+08 1.9355397860259262e+08 2.0000796121789172e+08 2.1161368282347611e+08 2.3142855508072633e+08 6.8431786444260374e+07 +7.3686562187394982e+00 4.2481209856371129e+08 4.2477132765300769e+08 4.2470277274400228e+08 4.2461389888439983e+08 4.2452712303196806e+08 4.2447675578683507e+08 4.2447781658215356e+08 4.2450452707717615e+08 4.2453088621818990e+08 4.2455166642032444e+08 4.2456988441449320e+08 4.2458579222390974e+08 4.2459853933054519e+08 4.2460765092864841e+08 4.2461287750023943e+08 4.2461372542050219e+08 4.2460965272319210e+08 4.2460017482110602e+08 4.2458475057178628e+08 4.2456266466957051e+08 4.2453303567638963e+08 4.2449464208646262e+08 4.2444499156873137e+08 4.2437960988302159e+08 4.2429790025953305e+08 4.2420050322980678e+08 4.2408305418093467e+08 4.2394046026416326e+08 4.2376739097846341e+08 4.2355740976476288e+08 4.2330255947341645e+08 4.2299294903698295e+08 4.2261626080404866e+08 4.2215715680956358e+08 4.2159658341220444e+08 4.2091088469313604e+08 4.2007084574439186e+08 4.1904060238528037e+08 4.1777658991553265e+08 4.1622650610766727e+08 4.1417153225131392e+08 4.1162648118567330e+08 4.0849203941355795e+08 4.0466216025776857e+08 4.0003146711110580e+08 3.9450642302296662e+08 3.8801994845590699e+08 3.8054782300175434e+08 3.7212409420283902e+08 3.6284853989783925e+08 3.5288498672280610e+08 3.4245979992299819e+08 3.3184118881572115e+08 3.2128376661274493e+08 3.1101945296102077e+08 3.0124321980017549e+08 2.9209056733418000e+08 2.8364513770286411e+08 2.7593957665623981e+08 2.6898059908414525e+08 2.6273871015071151e+08 2.5718271009906766e+08 2.5225973138723961e+08 2.4793271509721407e+08 2.4414865449640033e+08 2.4085959225443548e+08 2.3802878465134773e+08 2.3560934272194457e+08 2.3355472539619437e+08 2.3183268160346720e+08 2.3039739101908514e+08 2.2922019462705964e+08 2.2826459235185564e+08 2.2750166585596627e+08 2.2688911338290614e+08 2.2638427802592027e+08 2.2595878411714590e+08 2.2558367134423837e+08 2.2522738611254871e+08 2.2497450770896080e+08 2.2471892682223818e+08 2.2445803951283652e+08 2.2418474655936438e+08 2.2390280501769331e+08 2.2360381626659909e+08 2.2329935040122494e+08 2.2296004575195986e+08 2.2259692220742351e+08 2.2220329901194614e+08 2.2177395936871070e+08 2.2130256392756075e+08 2.2078197130759358e+08 2.2020162050575384e+08 2.1956426276896647e+08 2.1884358433012751e+08 2.1803558574687174e+08 2.1712854391077101e+08 2.1610984278799143e+08 2.1496647207194120e+08 2.1368538176348871e+08 2.1225184947752362e+08 2.1066934624764332e+08 2.0890803359032571e+08 2.0697487772159335e+08 2.0487435017093813e+08 2.0262292620761597e+08 2.0024863738602316e+08 1.9780483871457192e+08 1.9537065965218034e+08 1.9307754405221906e+08 1.9108701282114387e+08 1.8965598464609447e+08 1.8914090496570554e+08 1.9006071101575324e+08 1.9316966987759361e+08 1.9961083771039167e+08 2.1119351645301044e+08 2.3096904304491073e+08 6.8230344466674268e+07 +7.3736245415137560e+00 4.2446366063450170e+08 4.2442292172315681e+08 4.2435441245707351e+08 4.2426559926507968e+08 4.2417887014728945e+08 4.2412850890115178e+08 4.2412952163527101e+08 4.2415615230194926e+08 4.2418241933583355e+08 4.2420309622289258e+08 4.2422119412865919e+08 4.2423696159075099e+08 4.2424954494658166e+08 4.2425846520612276e+08 4.2426346780570281e+08 4.2426405342934680e+08 4.2425967314537907e+08 4.2424983390750539e+08 4.2423398458204120e+08 4.2421139821786928e+08 4.2418117978472221e+08 4.2414209190507722e+08 4.2409162214388710e+08 4.2402526220108402e+08 4.2394236802338344e+08 4.2384355298669434e+08 4.2372443321575034e+08 4.2357988191520137e+08 4.2340452440557635e+08 4.2319187341126186e+08 4.2293391492403805e+08 4.2262069486777389e+08 4.2223982667634737e+08 4.2177589823628145e+08 4.2120977782126981e+08 4.2051772972878969e+08 4.1967046095041794e+08 4.1863203583835030e+08 4.1735883164639765e+08 4.1579851062597364e+08 4.1373137090680009e+08 4.1117300570624429e+08 4.0802424657515919e+08 4.0417929819992507e+08 3.9953315763879204e+08 3.9399278793091679e+08 3.8749172008842063e+08 3.8000641289513648e+08 3.7157159189261234e+08 3.6228762643072259e+08 3.5231876281502235e+08 3.4189151961955756e+08 3.3127396459657162e+08 3.2072036289040679e+08 3.1046210617242163e+08 3.0069354138588101e+08 2.9154956117412114e+08 2.8311326830980772e+08 2.7541688673624820e+08 2.6846680265018928e+08 2.6223332408813441e+08 2.5668510862496030e+08 2.5176924095646727e+08 2.4744861585012341e+08 2.4367024587304503e+08 2.4038620391683960e+08 2.3755976703794262e+08 2.3514410385457501e+08 2.3309273568190283e+08 2.3137344945162970e+08 2.2994049796540862e+08 2.2876525588134670e+08 2.2781127755813608e+08 2.2704968133349258e+08 2.2643822886003059e+08 2.2593433121941376e+08 2.2550964920374423e+08 2.2513526564772996e+08 2.2477968238211340e+08 2.2452730522253799e+08 2.2427223191066030e+08 2.2401186313355529e+08 2.2373911352645686e+08 2.2345773257319647e+08 2.2315933899676821e+08 2.2285547647214311e+08 2.2251684645588428e+08 2.2215444489003354e+08 2.2176160429892913e+08 2.2133311825523886e+08 2.2086266000991997e+08 2.2034310237764531e+08 2.1976390602466968e+08 2.1912781337201679e+08 2.1840856764891446e+08 2.1760217535349187e+08 2.1669693668044460e+08 2.1568026067362720e+08 2.1453916288824365e+08 2.1326061926600811e+08 2.1182993733859563e+08 2.1025057801075101e+08 2.0849276662669185e+08 2.0656345361864534e+08 2.0446710162799156e+08 2.0222015317429918e+08 1.9985058409116232e+08 1.9741164332834089e+08 1.9498230365119073e+08 1.9269374466349047e+08 1.9070717034893465e+08 1.8927898691052476e+08 1.8876493182813272e+08 1.8968290964066869e+08 1.9278568837871531e+08 1.9921405234117463e+08 2.1077370783749679e+08 2.3050992227782604e+08 6.8029403750843346e+07 +7.3785928642880139e+00 4.2411387382940865e+08 4.2407316558812714e+08 4.2400470387736642e+08 4.2391595000754297e+08 4.2382926792471397e+08 4.2377891284868646e+08 4.2377987762073636e+08 4.2380642849596083e+08 4.2383260352405173e+08 4.2385317723341262e+08 4.2387115524792820e+08 4.2388678262466365e+08 4.2389920256377620e+08 4.2390793190763092e+08 4.2391271105730343e+08 4.2391303502502698e+08 4.2390834793362451e+08 4.2389814830127871e+08 4.2388187503062975e+08 4.2385878955803275e+08 4.2382798329987961e+08 4.2378820305403662e+08 4.2373691634623408e+08 4.2366958092608798e+08 4.2358550558029759e+08 4.2348527659857404e+08 4.2336449091992992e+08 4.2321798792321062e+08 4.2304034890092295e+08 4.2282503603695422e+08 4.2256397867302245e+08 4.2224715996497309e+08 4.2186212471236026e+08 4.2139338697993463e+08 4.2082173732856506e+08 4.2012336070231611e+08 4.1926888647875154e+08 4.1822230808763999e+08 4.1693994533684427e+08 4.1536942560327029e+08 4.1329016809534669e+08 4.1071854457374549e+08 4.0755553234763122e+08 4.0369558796544677e+08 3.9903408228319424e+08 3.9347847793053949e+08 3.8696291536940056e+08 3.7946453067579436e+08 3.7101872470395637e+08 3.6172645501929086e+08 3.5175238402741539e+08 3.4132318030079490e+08 3.3070676739851612e+08 3.2015706070820564e+08 3.0990492336800051e+08 3.0014407777742553e+08 2.9100881018303549e+08 2.8258168554639250e+08 2.7489450764139456e+08 2.6795333552886844e+08 2.6172828141209558e+08 2.5618786128060800e+08 2.5127911286004585e+08 2.4696488525789860e+08 2.4319221077812999e+08 2.3991319285916296e+08 2.3709112960152978e+08 2.3467924735547206e+08 2.3263112993685484e+08 2.3091460239082983e+08 2.2948399068385234e+08 2.2831070324441290e+08 2.2735834891711456e+08 2.2659808279297528e+08 2.2598772998844618e+08 2.2548476960303649e+08 2.2506089896124640e+08 2.2468724408254254e+08 2.2433236221397710e+08 2.2408048587629735e+08 2.2382591970697317e+08 2.2356606901831576e+08 2.2329386229172209e+08 2.2301304144552279e+08 2.2271524252966538e+08 2.2241198283839983e+08 2.2207402687624004e+08 2.2171234666972560e+08 2.2132028801162222e+08 2.2089265483509049e+08 2.2042313298216966e+08 2.1990460944997305e+08 2.1932656655240107e+08 2.1869173790938541e+08 2.1797392367377812e+08 2.1716913628927153e+08 2.1626569923349550e+08 2.1525104660683978e+08 2.1411221980417365e+08 2.1283622068536747e+08 2.1140838667048177e+08 2.0983216856004125e+08 2.0807785544892439e+08 2.0615238200833809e+08 2.0406020199945107e+08 2.0181772522027603e+08 1.9945287183118629e+08 1.9701878481422934e+08 1.9459428037230641e+08 1.9231027410132864e+08 1.9032765331232056e+08 1.8890231217260194e+08 1.8838928080697057e+08 1.8930543194751334e+08 1.9240203585729569e+08 1.9881760691997299e+08 2.1035425889140689e+08 2.3005119487373456e+08 6.7828963480949253e+07 +7.3835611870622717e+00 4.2376274235936868e+08 4.2372206389339995e+08 4.2365365501187265e+08 4.2356495808858901e+08 4.2347832366965693e+08 4.2342797484224379e+08 4.2342889175387347e+08 4.2345536287504691e+08 4.2348144599891776e+08 4.2350191667026311e+08 4.2351977499054098e+08 4.2353526254572821e+08 4.2354751940266770e+08 4.2355605825351864e+08 4.2356061447757292e+08 4.2356067743097895e+08 4.2355568431276822e+08 4.2354512522836775e+08 4.2352842914488238e+08 4.2350484591918904e+08 4.2347345345298284e+08 4.2343298276701421e+08 4.2338088141078472e+08 4.2331257329641205e+08 4.2322732017271060e+08 4.2312568131177276e+08 4.2300323454561085e+08 4.2285478554633850e+08 4.2267487172812200e+08 4.2245690491390061e+08 4.2219275799997443e+08 4.2187235161742622e+08 4.2148316221150005e+08 4.2100963034886599e+08 4.2043246925404179e+08 4.1972778494381684e+08 4.1886612966915202e+08 4.1781142648029715e+08 4.1651993834002692e+08 4.1493925839095241e+08 4.1284793115923339e+08 4.1026310510828024e+08 4.0708590401015395e+08 4.0321103676797515e+08 3.9853424816166627e+08 3.9296350000385517e+08 3.8643354110186714e+08 3.7892218292101562e+08 3.7046549893979901e+08 3.6116503164876688e+08 3.5118585599366564e+08 3.4075478722844583e+08 3.3013960210560673e+08 3.1959386458198458e+08 3.0934790871757519e+08 2.9959483282878786e+08 2.9046831793382084e+08 2.8205039274020082e+08 2.7437244248716080e+08 2.6744020065545622e+08 2.6122358490392247e+08 2.5569097071574786e+08 2.5078934963776100e+08 2.4648152576659304e+08 2.4271455157798094e+08 2.3944056138096845e+08 2.3662287458521384e+08 2.3421477542163455e+08 2.3216991031899631e+08 2.3045614254739916e+08 2.2902787127555147e+08 2.2785653879782829e+08 2.2690580849514127e+08 2.2614687228976211e+08 2.2553761881464314e+08 2.2503559521718433e+08 2.2461253542548937e+08 2.2423960868066248e+08 2.2388542763689351e+08 2.2363405169696522e+08 2.2337999223539856e+08 2.2312065918873209e+08 2.2284899487425643e+08 2.2256873365155947e+08 2.2227152887948060e+08 2.2196887151108691e+08 2.2163158902149522e+08 2.2127062955154055e+08 2.2087935215152392e+08 2.2045257110624152e+08 2.1998398483762690e+08 2.1946649451334187e+08 2.1888960407277411e+08 2.1825603835905710e+08 2.1753965437608656e+08 2.1673647051821563e+08 2.1583483352580485e+08 2.1482220253448337e+08 2.1368564475589019e+08 2.1241218794656101e+08 2.1098719938507113e+08 2.0941411979322520e+08 2.0766330193866307e+08 2.0574166475501186e+08 2.0365365313065374e+08 2.0141564417066294e+08 1.9905550240979427e+08 1.9662626495394221e+08 1.9420659157546639e+08 1.9192713410484588e+08 1.8994846343264410e+08 1.8852596214088830e+08 1.8801395360563853e+08 1.8892827964796436e+08 1.9201871405320647e+08 1.9842150324471706e+08 2.0993517151719490e+08 2.2959286291296622e+08 6.7629022840275139e+07 +7.3885295098365296e+00 4.2341027449799532e+08 4.2336962613314879e+08 4.2330126783388156e+08 4.2321263073618543e+08 4.2312604459825408e+08 4.2307570208061022e+08 4.2307657124005455e+08 4.2310296264526123e+08 4.2312895396575069e+08 4.2314932174096906e+08 4.2316706056538296e+08 4.2318240856255156e+08 4.2319450267266989e+08 4.2320285145467943e+08 4.2320718527758473e+08 4.2320698786029094e+08 4.2320168949679685e+08 4.2319077190392381e+08 4.2317365414144295e+08 4.2314957451972216e+08 4.2311759746435660e+08 4.2307643826668841e+08 4.2302352456430453e+08 4.2295424654051191e+08 4.2286781903284639e+08 4.2276477436331922e+08 4.2264067133370632e+08 4.2249028203075445e+08 4.2230810014058822e+08 4.2208748730174792e+08 4.2182026017331016e+08 4.2149627710254008e+08 4.2110294645988238e+08 4.2062463564018416e+08 4.2004198090383619e+08 4.1933100977004230e+08 4.1846219784734005e+08 4.1739939835056382e+08 4.1609881799305224e+08 4.1450801632526869e+08 4.1240466742503893e+08 4.0980669461182845e+08 4.0661536882393140e+08 4.0272565180160290e+08 3.9803366237135780e+08 3.9244786111200297e+08 3.8590360406824452e+08 3.7837937618505639e+08 3.6991192087973893e+08 3.6060336228110087e+08 3.5061918432442278e+08 3.4018634564147544e+08 3.2957247357999194e+08 3.1903077900604355e+08 3.0879106636992455e+08 2.9904581037394178e+08 2.8992808797997415e+08 2.8151939320001131e+08 2.7385069437206179e+08 2.6692740094772741e+08 2.6071923732850164e+08 2.5519443956574303e+08 2.5029995381433949e+08 2.4599853980738172e+08 2.4223727062493935e+08 2.3896831176740053e+08 2.3615500421808267e+08 2.3375069023535797e+08 2.3170907897239795e+08 2.2999807203442296e+08 2.2857214182827848e+08 2.2740276460968360e+08 2.2645365834516582e+08 2.2569605186541474e+08 2.2508789737241110e+08 2.2458681008942905e+08 2.2416456061915165e+08 2.2379236146123847e+08 2.2343888066665825e+08 2.2318800469785386e+08 2.2293445150716054e+08 2.2267563565395874e+08 2.2240451328049612e+08 2.2212481119533414e+08 2.2182820004739526e+08 2.2152614448906544e+08 2.2118953488677320e+08 2.2082929552760729e+08 2.2043879870723641e+08 2.2001286905363110e+08 2.1954521755667233e+08 2.1902875954364869e+08 2.1845302055625045e+08 2.1782071668586650e+08 2.1710576171438164e+08 2.1630417999160272e+08 2.1540434150065997e+08 2.1439373039050388e+08 2.1325943966753379e+08 2.1198852296187699e+08 2.1056637738196170e+08 2.0899643359575355e+08 2.0724910796557143e+08 2.0533130371090722e+08 2.0324745685559979e+08 2.0101391183884332e+08 1.9865847761935923e+08 1.9623408551797876e+08 1.9381923900932026e+08 1.9154432640205577e+08 1.8956960241997722e+08 1.8814993851231918e+08 1.8763895191692549e+08 1.8855145444330138e+08 1.9163572469541734e+08 1.9802574310190406e+08 2.0951644760505173e+08 2.2913492846241617e+08 6.7429581011221275e+07 +7.3934978326107874e+00 4.2305647858443373e+08 4.2301585857555777e+08 4.2294755103915805e+08 4.2285897516095746e+08 4.2277243783637750e+08 4.2272210174821401e+08 4.2272292327231276e+08 4.2274923500238818e+08 4.2277513461926389e+08 4.2279539964178210e+08 4.2281301916931522e+08 4.2282822787198079e+08 4.2284015957273024e+08 4.2284831871042281e+08 4.2285243065860844e+08 4.2285197351358777e+08 4.2284637068810076e+08 4.2283509553264719e+08 4.2281755722587103e+08 4.2279298256689698e+08 4.2276042254378921e+08 4.2271857676462501e+08 4.2266485302013510e+08 4.2259460787575197e+08 4.2250700938122219e+08 4.2240256297755641e+08 4.2227680851434672e+08 4.2212448461190242e+08 4.2194004137974834e+08 4.2171679044899917e+08 4.2144649244907874e+08 4.2111894368394542e+08 4.2072148473122257e+08 4.2023841013667673e+08 4.1965027957204717e+08 4.1893304248478341e+08 4.1805709832576758e+08 4.1698623101711941e+08 4.1567659161873025e+08 4.1407570672748083e+08 4.1196038420227569e+08 4.0934932037097263e+08 4.0614393403167993e+08 4.0223944024286252e+08 3.9753233198933756e+08 3.9193156819635904e+08 3.8537311102799219e+08 3.7783611700066018e+08 3.6935799678159094e+08 3.6004145285563362e+08 3.5005237460779858e+08 3.3961786075617021e+08 3.2900538666131896e+08 3.1846780845365632e+08 3.0823440045336884e+08 2.9849701422663689e+08 2.8938812385581386e+08 2.8098869021646035e+08 2.7332926637624234e+08 2.6641493930725038e+08 2.6021524143417549e+08 2.5469827044944254e+08 2.4981092789871502e+08 2.4551592979609910e+08 2.4176037025611928e+08 2.3849644628962201e+08 2.3568752071607286e+08 2.3328699396551678e+08 2.3124863802763319e+08 2.2954039295108393e+08 2.2811680441627374e+08 2.2694938273468551e+08 2.2600190050686991e+08 2.2524562354847655e+08 2.2463856768197694e+08 2.2413841623435822e+08 2.2371697655223814e+08 2.2334550443046874e+08 2.2299272330621445e+08 2.2274234687944934e+08 2.2248929952003574e+08 2.2223100040960166e+08 2.2196041950378948e+08 2.2168127606769067e+08 2.2138525802173057e+08 2.2108380375768259e+08 2.2074786645469946e+08 2.2038834657722488e+08 2.1999862965474707e+08 2.1957355064871687e+08 2.1910683310745063e+08 2.1859140650392833e+08 2.1801681796096671e+08 2.1738577484202090e+08 2.1667224763440517e+08 2.1587226664794520e+08 2.1497422508875066e+08 2.1396563209651965e+08 2.1283360645039213e+08 2.1156522763131961e+08 2.1014592254861581e+08 2.0857911184076220e+08 2.0683527538715115e+08 2.0492130071662369e+08 2.0284161499538609e+08 2.0061253002654761e+08 1.9826179924017254e+08 1.9584224826493317e+08 1.9343222441089812e+08 1.9116185270977005e+08 1.8919107197351140e+08 1.8777424297352841e+08 1.8726427742269063e+08 1.8817495802343878e+08 1.9125306950150296e+08 1.9763032826634008e+08 2.0909808903272855e+08 2.2867739357606092e+08 6.7230637175320596e+07 +7.3984661553850453e+00 4.2270136203424495e+08 4.2266077223084992e+08 4.2259251450390875e+08 4.2250399863370961e+08 4.2241751046438456e+08 4.2236718101547450e+08 4.2236795503295684e+08 4.2239418713179570e+08 4.2241999514390951e+08 4.2244015755871457e+08 4.2245765798900002e+08 4.2247272766260463e+08 4.2248449729048848e+08 4.2249246720923287e+08 4.2249635780979818e+08 4.2249564158283335e+08 4.2248973507856357e+08 4.2247810330744320e+08 4.2246014559293836e+08 4.2243507725717282e+08 4.2240193588951725e+08 4.2235940546108496e+08 4.2230487398165238e+08 4.2223366450781816e+08 4.2214489842723548e+08 4.2203905436823469e+08 4.2191165330500799e+08 4.2175740051321763e+08 4.2157070267491245e+08 4.2134482159192091e+08 4.2107146207149416e+08 4.2074035861473483e+08 4.2033878428732258e+08 4.1985096111014712e+08 4.1925737253878868e+08 4.1853389037793511e+08 4.1765083840336794e+08 4.1657193178540117e+08 4.1525326652526283e+08 4.1364233690254956e+08 4.1151508878507161e+08 4.0889098965404403e+08 4.0567160685890591e+08 4.0175240924909961e+08 3.9703026407388681e+08 3.9141462817690915e+08 3.8484206872069085e+08 3.7729241187816972e+08 3.6880373287970483e+08 3.5947930928908449e+08 3.4948543240909410e+08 3.3904933776656401e+08 3.2843834616729701e+08 3.1790495737651038e+08 3.0767791507540089e+08 2.9794844818078601e+08 2.8884842907721156e+08 2.8045828706219721e+08 2.7280816156322879e+08 2.6590281861825812e+08 2.5971159995346588e+08 2.5420246597041538e+08 2.4932227438487837e+08 2.4503369813427523e+08 2.4128385279473215e+08 2.3802496720440573e+08 2.3522042627988186e+08 2.3282368876755619e+08 2.3078858960172600e+08 2.2908310738330337e+08 2.2766186110069296e+08 2.2649639521426120e+08 2.2555053700693184e+08 2.2479558935430732e+08 2.2418963175071096e+08 2.2369041565263283e+08 2.2326978522120130e+08 2.2289903958133575e+08 2.2254695754488471e+08 2.2229708022908282e+08 2.2204453825942707e+08 2.2178675543852368e+08 2.2151671552463123e+08 2.2123813024639007e+08 2.2094270477769759e+08 2.2064185128933170e+08 2.2030658569481328e+08 2.1994778466671342e+08 2.1955884695653272e+08 2.1913461785110104e+08 2.1866883344463131e+08 2.1815443734460777e+08 2.1758099823224512e+08 2.1695121476720563e+08 2.1623911406940714e+08 2.1544073241375780e+08 2.1454448620789146e+08 2.1353790956155485e+08 2.1240814700315154e+08 2.1114230384265324e+08 2.0972583676001510e+08 2.0816215638919643e+08 2.0642180604889977e+08 2.0451165760030937e+08 2.0243612936016452e+08 2.0021150052372429e+08 1.9786546904138786e+08 1.9545075494232824e+08 1.9304554950622264e+08 1.9077971473330349e+08 1.8881287378111786e+08 1.8739887719986653e+08 1.8688993179379460e+08 1.8779879206733871e+08 1.9087075017789695e+08 1.9723526050143638e+08 2.0868009766605747e+08 2.2822026029406288e+08 6.7032190513253935e+07 +7.4034344781593031e+00 4.2234492978545648e+08 4.2230437241135770e+08 4.2223616351538706e+08 4.2214770847145975e+08 4.2206126957569903e+08 4.2201094704204917e+08 4.2201167369336003e+08 4.2203782620858514e+08 4.2206354271170527e+08 4.2208360266693097e+08 4.2210098419976586e+08 4.2211591510900581e+08 4.2212752300291407e+08 4.2213530412939197e+08 4.2213897390982062e+08 4.2213799924728370e+08 4.2213178985000777e+08 4.2211980241049886e+08 4.2210142642663163e+08 4.2207586577628809e+08 4.2204214468849254e+08 4.2199893154597884e+08 4.2194359464011520e+08 4.2187142363151777e+08 4.2178149336894625e+08 4.2167425573716593e+08 4.2154521291314077e+08 4.2138903694671029e+08 4.2120009124414194e+08 4.2097158795563686e+08 4.2069517627243644e+08 4.2036052913526946e+08 4.1995485237672865e+08 4.1946229581841588e+08 4.1886326707246470e+08 4.1813356072580981e+08 4.1724342536462533e+08 4.1615650794560587e+08 4.1482885000523442e+08 4.1320791414113230e+08 4.1106878845096791e+08 4.0843170971321338e+08 4.0519839451324350e+08 4.0126456595808131e+08 3.9652746566280466e+08 3.9089704795361292e+08 3.8431048386385655e+08 3.7674826730585611e+08 3.6824913538602406e+08 3.5891693747480398e+08 3.4891836327046776e+08 3.3848078184385526e+08 3.2787135689352483e+08 3.1734223020434427e+08 3.0712161432318807e+08 2.9740011601149869e+08 2.8830900714053881e+08 2.7992818699124849e+08 2.7228738297878408e+08 2.6539104174825582e+08 2.5920831560246703e+08 2.5370702871606404e+08 2.4883399575158468e+08 2.4455184720832798e+08 2.4080772054876259e+08 2.3755387675416595e+08 2.3475372309710872e+08 2.3236077678255498e+08 2.3032893579797977e+08 2.2862621740337694e+08 2.2720731392896715e+08 2.2604380407679525e+08 2.2509956985866079e+08 2.2434595128547692e+08 2.2374109157268777e+08 2.2324281033292145e+08 2.2282298860976386e+08 2.2245296889350805e+08 2.2210158535951024e+08 2.2185220672118968e+08 2.2160016969762340e+08 2.2134290271049881e+08 2.2107340331054756e+08 2.2079537569658881e+08 2.2050054227770507e+08 2.2020028904380804e+08 2.1986569456390524e+08 2.1950761174958393e+08 2.1911945256307575e+08 2.1869607260668382e+08 2.1823122051067826e+08 2.1771785400328803e+08 2.1714556330263388e+08 2.1651703838846356e+08 2.1580636294014612e+08 2.1500957920222333e+08 2.1411512676401064e+08 2.1311056468244627e+08 2.1198306321291181e+08 2.1071975347127879e+08 2.0930612187876317e+08 2.0774556908995080e+08 2.0600870178422183e+08 2.0410237617842901e+08 2.0203100174782345e+08 1.9981082510869202e+08 1.9746948878027019e+08 1.9505960728606802e+08 1.9265921600991666e+08 1.9039791416749761e+08 1.8843500951997784e+08 1.8702384285573891e+08 1.8651591669006386e+08 1.8742295824296826e+08 1.9048876841973093e+08 1.9684054155913568e+08 2.0826247535851485e+08 2.2776353064334759e+08 6.6834240204865195e+07 +7.4084028009335610e+00 4.2198718831550807e+08 4.2194666191101086e+08 4.2187850582253933e+08 4.2179011170466018e+08 4.2170372230337501e+08 4.2165340697945070e+08 4.2165408641385549e+08 4.2168015939746255e+08 4.2170578448538572e+08 4.2172574212973291e+08 4.2174300496574587e+08 4.2175779737719512e+08 4.2176924387583017e+08 4.2177683663745964e+08 4.2178028612649542e+08 4.2177905367577845e+08 4.2177254217117661e+08 4.2176020001268083e+08 4.2174140689942795e+08 4.2171535529784209e+08 4.2168105611705744e+08 4.2163716219696200e+08 4.2158102217699319e+08 4.2150789243057245e+08 4.2141680139307636e+08 4.2130817427514809e+08 4.2117749453318292e+08 4.2101940111216748e+08 4.2082821429359293e+08 4.2059709675247002e+08 4.2031764227158755e+08 4.1997946247294861e+08 4.1956969623586869e+08 4.1907242150703186e+08 4.1846797042721605e+08 4.1773206079254878e+08 4.1683486648013347e+08 4.1573996677439278e+08 4.1440334933726162e+08 4.1277244571745872e+08 4.1062149046183717e+08 4.0797148778332120e+08 4.0472430418456233e+08 4.0077591748988426e+08 3.9602394377465302e+08 3.9037883440525430e+08 3.8377836315375584e+08 3.7620368975014204e+08 3.6769421049096924e+08 3.5835434328409451e+08 3.4835117271136290e+08 3.3791219813668180e+08 3.2730442361391783e+08 3.1677963134609991e+08 3.0656550226292729e+08 2.9685202147283083e+08 2.8776986152379429e+08 2.7939839323996115e+08 2.7176693365109605e+08 2.6487961154811403e+08 2.5870539108129549e+08 2.5321196125869805e+08 2.4834609446255600e+08 2.4407037938980410e+08 2.4033197581235263e+08 2.3708317716754824e+08 2.3428741334111279e+08 2.3189826013795528e+08 2.2986967870616785e+08 2.2816972507034111e+08 2.2675316493569681e+08 2.2559161133712742e+08 2.2464900106210846e+08 2.2389671133110198e+08 2.2329294912868404e+08 2.2279560225016201e+08 2.2237658868882599e+08 2.2200729433438465e+08 2.2165660871399805e+08 2.2140772831761369e+08 2.2115619579390854e+08 2.2089944418272495e+08 2.2063048481614357e+08 2.2035301437049687e+08 2.2005877247147202e+08 2.1975911896821508e+08 2.1942519500591698e+08 2.1906782976674533e+08 2.1868044841157472e+08 2.1825791684946597e+08 2.1779399623477447e+08 2.1728165840518489e+08 2.1671051509189317e+08 2.1608324761992431e+08 2.1537399615448135e+08 2.1457880891440940e+08 2.1368614864978060e+08 2.1268359934312403e+08 2.1155835695373765e+08 2.1029757838017336e+08 2.0888677975572276e+08 2.0732935177999136e+08 2.0559596441451511e+08 2.0369345825578561e+08 2.0162623394477209e+08 1.9941050554787320e+08 1.9707386020301777e+08 1.9466880702084631e+08 1.9227322562523228e+08 1.9001645269552991e+08 1.8805748085597339e+08 1.8664914159479472e+08 1.8614223376078650e+08 1.8704745820741606e+08 1.9010712591156507e+08 1.9644617317962372e+08 2.0784522395139965e+08 2.2730720663770357e+08 6.6636785429176815e+07 +7.4133711237078188e+00 4.2162815195243162e+08 4.2158765511408913e+08 4.2151954916656345e+08 4.2143121524717945e+08 4.2134487581193954e+08 4.2129456797388822e+08 4.2129520034358752e+08 4.2132119385174179e+08 4.2134672761535352e+08 4.2136658310008001e+08 4.2138372744115829e+08 4.2139838162045121e+08 4.2140966706421220e+08 4.2141707188866031e+08 4.2142030161669588e+08 4.2141881202571911e+08 4.2141199920182645e+08 4.2139930327471805e+08 4.2138009417247617e+08 4.2135355298541468e+08 4.2131867733992726e+08 4.2127410458127201e+08 4.2121716376076126e+08 4.2114307807582963e+08 4.2105082967432386e+08 4.2094081716104001e+08 4.2080850534874558e+08 4.2064850019889116e+08 4.2045507901748669e+08 4.2022135518302238e+08 4.1993886727708852e+08 4.1959716584356993e+08 4.1918332308911741e+08 4.1868134540806383e+08 4.1807148984387630e+08 4.1732939782696182e+08 4.1642516900743848e+08 4.1532231553374845e+08 4.1397677178476787e+08 4.1233593889030522e+08 4.1017320206227273e+08 4.0751033108207214e+08 4.0424934304399908e+08 4.0028647094581151e+08 3.9551970540799063e+08 3.8985999439066243e+08 3.8324571326522613e+08 3.7565868565534413e+08 3.6713896436096781e+08 3.5779153256493735e+08 3.4778386622869307e+08 3.3734359177123469e+08 3.2673755107943952e+08 3.1621716518954331e+08 3.0600958294022179e+08 2.9630416829975802e+08 2.8723099568530053e+08 2.7886890902675307e+08 2.7124681659135848e+08 2.6436853085236505e+08 2.5820282907394168e+08 2.5271726615451422e+08 2.4785857296620840e+08 2.4358929703570700e+08 2.3985662086533904e+08 2.3661287065858147e+08 2.3382149917122039e+08 2.3143614094780388e+08 2.2941082040231279e+08 2.2771363242972863e+08 2.2629941614174435e+08 2.2513981899712190e+08 2.2419883260449603e+08 2.2344787146707854e+08 2.2284520638737997e+08 2.2234879336659238e+08 2.2193058741554537e+08 2.2156201785765472e+08 2.2121202955893633e+08 2.2096364696657252e+08 2.2071261849461207e+08 2.2045638179925722e+08 2.2018796198318142e+08 2.1991104820737126e+08 2.1961739729566929e+08 2.1931834299653551e+08 2.1898508895206398e+08 2.1862844064617723e+08 2.1824183642678052e+08 2.1782015250014076e+08 2.1735716253402099e+08 2.1684585246226013e+08 2.1627585550729737e+08 2.1564984436340147e+08 2.1494201560807037e+08 2.1414842343889493e+08 2.1325755374624902e+08 2.1225701541556957e+08 2.1113403008750626e+08 2.0987578042009941e+08 2.0846781222910944e+08 2.0691350628383231e+08 2.0518359574937308e+08 2.0328490562485516e+08 2.0122182772547725e+08 1.9901054359649691e+08 1.9667858504375771e+08 1.9427835585985994e+08 1.9188758004470944e+08 1.8963533198985386e+08 1.8768028944430599e+08 1.8627477505979019e+08 1.8576888464398810e+08 1.8667229360715470e+08 1.8972582432626539e+08 1.9605215709195545e+08 2.0742834527405486e+08 2.2685129027780619e+08 6.6439825364404455e+07 +7.4183394464820767e+00 4.2126781855031276e+08 4.2122735228817892e+08 4.2115929887153202e+08 4.2107102630043679e+08 4.2098473727404404e+08 4.2093443716553050e+08 4.2093502262090021e+08 4.2096093671426684e+08 4.2098637924226838e+08 4.2100613271979797e+08 4.2102315876799667e+08 4.2103767498224515e+08 4.2104879971154022e+08 4.2105601702767998e+08 4.2105902752578276e+08 4.2105728144345248e+08 4.2105016808877021e+08 4.2103711934475452e+08 4.2101749539623159e+08 4.2099046599012715e+08 4.2095501551030993e+08 4.2090976585425526e+08 4.2085202654967052e+08 4.2077698772893786e+08 4.2068358537707627e+08 4.2057219156267709e+08 4.2043825253180128e+08 4.2027634138344944e+08 4.2008069259857994e+08 4.1984437043612450e+08 4.1955885848439223e+08 4.1921364645016396e+08 4.1879574014716208e+08 4.1828907474216080e+08 4.1767383255116510e+08 4.1692557906539887e+08 4.1601434018825471e+08 4.1490356147050577e+08 4.1354912459495342e+08 4.1189840090313131e+08 4.0972393048149693e+08 4.0704824680993593e+08 4.0377351824575061e+08 3.9979623340723801e+08 3.9501475754174834e+08 3.8934053474785858e+08 3.8271254085150224e+08 3.7511326144353735e+08 3.6658340314069563e+08 3.5722851114215839e+08 3.4721644929621106e+08 3.3677496785121500e+08 3.2617074402019489e+08 3.1565483610023344e+08 3.0545386038079011e+08 2.9575656020722443e+08 2.8669241306522214e+08 2.7833973755130744e+08 2.7072703479312456e+08 2.6385780247844839e+08 2.5770063224842882e+08 2.5222294594515505e+08 2.4737143369564322e+08 2.4310860248855036e+08 2.3938165797247544e+08 2.3614295942749059e+08 2.3335598273345223e+08 2.3097442131244180e+08 2.2895236294952112e+08 2.2725794151411057e+08 2.2584606955510443e+08 2.2468842904544678e+08 2.2374906646000576e+08 2.2299943365682331e+08 2.2239786530353230e+08 2.2190238563142648e+08 2.2148498673522702e+08 2.2111714140479091e+08 2.2076784983249933e+08 2.2051996460414821e+08 2.2026943973315006e+08 2.2001371749148229e+08 2.1974583674057266e+08 2.1946947913372990e+08 2.1917641867425048e+08 2.1887796304986030e+08 2.1854537832077679e+08 2.1818944630317056e+08 2.1780361852046710e+08 2.1738278146698281e+08 2.1692072131251979e+08 2.1641043807445779e+08 2.1584158644395062e+08 2.1521683050819093e+08 2.1451042318391195e+08 2.1371842465178123e+08 2.1282934392158243e+08 2.1183081475937217e+08 2.1071008446393535e+08 2.0945436142991650e+08 2.0804922112555268e+08 2.0649803441422340e+08 2.0477159758605182e+08 2.0287672006657326e+08 2.0081778485266441e+08 1.9861094099790365e+08 1.9628366502593622e+08 1.9388825550532562e+08 1.9150228094911543e+08 1.8925455371183100e+08 1.8730343692914033e+08 1.8590074488238159e+08 1.8539587096744183e+08 1.8629746607729238e+08 1.8934486532620856e+08 1.9565849501369214e+08 2.0701184114362177e+08 2.2639578355067894e+08 6.6243359187972523e+07 +7.4233077692563345e+00 4.2090620305641222e+08 4.2086576518402594e+08 4.2079776202221543e+08 4.2070955230645382e+08 4.2062331385053360e+08 4.2057302169111270e+08 4.2057356037390804e+08 4.2059939511606836e+08 4.2062474649505359e+08 4.2064439811919951e+08 4.2066130607695401e+08 4.2067568459367961e+08 4.2068664895027834e+08 4.2069367918741870e+08 4.2069647098778397e+08 4.2069446906458330e+08 4.2068705596856976e+08 4.2067365536045033e+08 4.2065361770913118e+08 4.2062610145281291e+08 4.2059007777055252e+08 4.2054415315993661e+08 4.2048561768982106e+08 4.2040962853878987e+08 4.2031507565336585e+08 4.2020230463550353e+08 4.2006674324318320e+08 4.1990293183057165e+08 4.1970506220661944e+08 4.1946614968833292e+08 4.1917762307670420e+08 4.1882891148318893e+08 4.1840695460905170e+08 4.1789561671442896e+08 4.1727500576360697e+08 4.1652061172989362e+08 4.1560238725203031e+08 4.1448371181754816e+08 4.1312041500158525e+08 4.1145983898328495e+08 4.0927368293149006e+08 4.0658524215072215e+08 4.0329683692514718e+08 3.9930521193743372e+08 3.9450910713540494e+08 3.8882046229389697e+08 3.8217885254463470e+08 3.7456742351487678e+08 3.6602753295197672e+08 3.5666528481907934e+08 3.4664892736538941e+08 3.3620633145788026e+08 3.2560400714379841e+08 3.1509264842346436e+08 3.0489833858913267e+08 2.9520920089151531e+08 2.8615411708473194e+08 2.7781088199599689e+08 2.7020759123315126e+08 2.6334742922767827e+08 2.5719880325669187e+08 2.5172900315544313e+08 2.4688467906958300e+08 2.4262829807559663e+08 2.3890708938473600e+08 2.3567344566065848e+08 2.3289086615961596e+08 2.3051310331835881e+08 2.2849430839703932e+08 2.2680265434202090e+08 2.2539312717036343e+08 2.2423744345792553e+08 2.2329970458940077e+08 2.2255139985033679e+08 2.2195092781959918e+08 2.2145638098119694e+08 2.2103978857966682e+08 2.2067266690412450e+08 2.2032407145980576e+08 2.2007668315312448e+08 2.1982666143056351e+08 2.1957145317795238e+08 2.1930411100472906e+08 2.1902830906361580e+08 2.1873583851879111e+08 2.1843798103726426e+08 2.1810606501767954e+08 2.1775084864035738e+08 2.1736579659199446e+08 2.1694580564565191e+08 2.1648467446171874e+08 2.1597541712874180e+08 2.1540770978382662e+08 2.1478420793094400e+08 2.1407922075259846e+08 2.1328881441662890e+08 2.1240152103152201e+08 2.1140499922168282e+08 2.1028652192059729e+08 2.0903332323615527e+08 2.0763100825898364e+08 2.0608293797176778e+08 2.0435997171038663e+08 2.0246890335000408e+08 2.0041410707753086e+08 1.9821169948400626e+08 1.9588910186071971e+08 1.9349850764769530e+08 1.9111733000860232e+08 1.8887411951152763e+08 1.8692692494367525e+08 1.8552705268383393e+08 1.8502319434760070e+08 1.8592297724246743e+08 1.8896425056225026e+08 1.9526518865091339e+08 2.0659571336537629e+08 2.2594068843079871e+08 6.6047386076528676e+07 +7.4282760920305924e+00 4.2054330260752577e+08 4.2050289929231268e+08 4.2043494664802599e+08 4.2034680037980586e+08 4.2026061268168604e+08 4.2021032867798322e+08 4.2021082071886384e+08 4.2023657617649049e+08 4.2026183649131387e+08 4.2028138641704953e+08 4.2029817648823547e+08 4.2031241757556874e+08 4.2032322190158921e+08 4.2033006549054408e+08 4.2033263912505329e+08 4.2033038201260966e+08 4.2032266996631360e+08 4.2030891844822288e+08 4.2028846823929274e+08 4.2026046650235182e+08 4.2022387125207829e+08 4.2017727363142484e+08 4.2011794431697839e+08 4.2004100764242017e+08 4.1994530764370465e+08 4.1983116352379256e+08 4.1969398463042444e+08 4.1952827869367027e+08 4.1932819500077957e+08 4.1908670010360473e+08 4.1879516822492194e+08 4.1844296812090129e+08 4.1801697365933365e+08 4.1750097851926333e+08 4.1687501668221122e+08 4.1611450302966994e+08 4.1518931741302055e+08 4.1406277379296058e+08 4.1269065022234845e+08 4.1102026034296107e+08 4.0882246660851860e+08 4.0612132427055603e+08 4.0281930619985974e+08 3.9881341358094877e+08 3.9400276112788749e+08 3.8829978382523745e+08 3.8164465495560616e+08 3.7402117824746072e+08 3.6547135989482534e+08 3.5610185937493563e+08 3.4608130586464167e+08 3.3563768765011674e+08 3.2503734513564044e+08 3.1453060648288596e+08 3.0434302154970765e+08 2.9466209402803552e+08 2.8561611114652300e+08 2.7728234552469206e+08 2.6968848887062049e+08 2.6283741388408294e+08 2.5669734473439506e+08 2.5123544029584101e+08 2.4639831149109879e+08 2.4214838610992691e+08 2.3843291733889234e+08 2.3520433153002796e+08 2.3242615156744158e+08 2.3005218903894019e+08 2.2803665878062925e+08 2.2634777291952199e+08 2.2494059096917716e+08 2.2378686419677091e+08 2.2285074894109079e+08 2.2210377198503590e+08 2.2150439586467770e+08 2.2101078133931562e+08 2.2059499486813664e+08 2.2022859627112353e+08 2.1988069635347384e+08 2.1963380452373350e+08 2.1938428549490890e+08 2.1912959076446840e+08 2.1886278667908639e+08 2.1858753989806759e+08 2.1829565872744006e+08 2.1799839885429412e+08 2.1766715093598747e+08 2.1731264954771063e+08 2.1692837252789080e+08 2.1650922691909456e+08 2.1604902386091244e+08 2.1554079149989277e+08 2.1497422739645359e+08 2.1435197849591914e+08 2.1364841017210156e+08 2.1285959458463290e+08 2.1197408691986075e+08 2.1097957063731819e+08 2.0986334428225824e+08 2.0861266765284941e+08 2.0721317543176574e+08 2.0566821874529305e+08 2.0394871989622667e+08 2.0206145723268512e+08 2.0001079613964874e+08 1.9781282077527824e+08 1.9549489724867836e+08 1.9310911396666726e+08 1.9073272888204139e+08 1.8849403102854055e+08 1.8655075511063159e+08 1.8515370007438821e+08 1.8465085639048150e+08 1.8554882871650425e+08 1.8858398167467448e+08 1.9487223969854775e+08 2.0617996373252025e+08 2.2548600687904981e+08 6.5851905205959029e+07 +7.4332444148048502e+00 4.2017913513638997e+08 4.2013876365821159e+08 4.2007086058635980e+08 4.1998277757386416e+08 4.1989664088600475e+08 4.1984636524338889e+08 4.1984681076133180e+08 4.1987248700365400e+08 4.1989765633735245e+08 4.1991710472149831e+08 4.1993377711030495e+08 4.1994788103664833e+08 4.1995852567507243e+08 4.1996518304707724e+08 4.1996753905008185e+08 4.1996502740005416e+08 4.1995701719521821e+08 4.1994291572233522e+08 4.1992205410242462e+08 4.1989356825643229e+08 4.1985640307293856e+08 4.1980913438950294e+08 4.1974901355343854e+08 4.1967113216617197e+08 4.1957428847690809e+08 4.1945877535993528e+08 4.1931998382977462e+08 4.1915238911341172e+08 4.1895009812644708e+08 4.1870602883440775e+08 4.1841150108763486e+08 4.1805582352857661e+08 4.1762580447181296e+08 4.1710516733764631e+08 4.1647387249522841e+08 4.1570726015891564e+08 4.1477513787155783e+08 4.1364075460046536e+08 4.1225983745999664e+08 4.1057967217832768e+08 4.0837028869194859e+08 4.0565650031833607e+08 4.0234093316999644e+08 3.9832084536316556e+08 3.9349572643883175e+08 3.8777850611808497e+08 3.8110995467307502e+08 3.7347453199715394e+08 3.6491489004551357e+08 3.5553824056711531e+08 3.4551359019988042e+08 3.3506904146462166e+08 3.2447076265989733e+08 3.1396871458094490e+08 3.0378791322660965e+08 2.9411524327349520e+08 2.8507839863372284e+08 2.7675413128423929e+08 2.6916973064764619e+08 2.6232775921589667e+08 2.5619625930207634e+08 2.5074225986073995e+08 2.4591233334859344e+08 2.4166886888984022e+08 2.3795914405717093e+08 2.3473561919405732e+08 2.3196184106166506e+08 2.2959168053341958e+08 2.2757941612313911e+08 2.2589329923891973e+08 2.2448846291984564e+08 2.2333669321191719e+08 2.2240220144994709e+08 2.2165655198513830e+08 2.2105827135547313e+08 2.2056558861644837e+08 2.2015060750663152e+08 2.1978493140878552e+08 2.1943772641280368e+08 2.1919133061362353e+08 2.1894231382123157e+08 2.1868813214401266e+08 2.1842186565427932e+08 2.1814717352518985e+08 2.1785588118645638e+08 2.1755921838455892e+08 2.1722863795595312e+08 2.1687485090264425e+08 2.1649134820232362e+08 2.1607304715769973e+08 2.1561377137620729e+08 2.1510656304984042e+08 2.1454114113938296e+08 2.1392014405489486e+08 2.1321799328816044e+08 2.1243076699495712e+08 2.1154704341769651e+08 2.1055453082912481e+08 2.0944055336243758e+08 2.0819239648250356e+08 2.0679572443406606e+08 2.0525387851149714e+08 2.0353784390513116e+08 2.0165438346003586e+08 1.9960785376691234e+08 1.9741430658067703e+08 1.9510105287858495e+08 1.9272007613055804e+08 1.9034847921702963e+08 1.8811428989121985e+08 1.8617492904136330e+08 1.8478068865353477e+08 1.8427885869118893e+08 1.8517502210230258e+08 1.8820406029269770e+08 1.9447964984006092e+08 2.0576459402621940e+08 2.2503174084346619e+08 6.5656915751402646e+07 +7.4382127375791081e+00 4.1981370278917074e+08 4.1977335873395371e+08 4.1970551034503365e+08 4.1961749098767447e+08 4.1953140556172144e+08 4.1948113849114549e+08 4.1948153759498161e+08 4.1950713469367021e+08 4.1953221312921041e+08 4.1955156012848824e+08 4.1956811503933865e+08 4.1958208207428855e+08 4.1959256736910164e+08 4.1959903895617735e+08 4.1960117786227500e+08 4.1959841232808292e+08 4.1959010475749391e+08 4.1957565428641587e+08 4.1955438240285653e+08 4.1952541382041365e+08 4.1948768034151071e+08 4.1943974254366738e+08 4.1937883251164722e+08 4.1930000922381580e+08 4.1920202526969457e+08 4.1908514726493949e+08 4.1894474796603173e+08 4.1877527021939754e+08 4.1857077871844512e+08 4.1832414302063221e+08 4.1802662881054771e+08 4.1766748485895759e+08 4.1723345420584708e+08 4.1670819033573580e+08 4.1607158037707031e+08 4.1529889029884124e+08 4.1435985581394780e+08 4.1321766142875284e+08 4.1182798390196878e+08 4.1013808166930217e+08 4.0791715634470415e+08 4.0519077742603886e+08 4.0186172491642112e+08 3.9782751428989518e+08 3.9298800996855932e+08 3.8725663592802489e+08 3.8057475826474154e+08 3.7292749109791106e+08 3.6435812945898604e+08 3.5497443412974876e+08 3.4494578575417113e+08 3.3450039791523564e+08 3.2390426435847467e+08 3.1340697699890190e+08 3.0323301756369948e+08 2.9356865226479805e+08 2.8454098291210443e+08 2.7622624240261680e+08 2.6865131948907584e+08 2.6181846797463199e+08 2.5569554956364217e+08 2.5024946432959968e+08 2.4542674701574755e+08 2.4118974869939858e+08 2.3748577174762949e+08 2.3426731079658195e+08 2.3149793673289728e+08 2.2913157984792769e+08 2.2712258243369302e+08 2.2543923527949622e+08 2.2403674497751796e+08 2.2288693243941069e+08 2.2195406403808758e+08 2.2120974176221430e+08 2.2061255619538927e+08 2.2012080471059707e+08 2.1970662838889587e+08 2.1934167420681944e+08 2.1899516352476019e+08 2.1874926330743417e+08 2.1850074829235125e+08 2.1824707919728354e+08 2.1798134980849811e+08 2.1770721182113385e+08 2.1741650776887152e+08 2.1712044149853927e+08 2.1679052794550684e+08 2.1643745456996927e+08 2.1605472547681093e+08 2.1563726821947452e+08 2.1517891886188754e+08 2.1467273362836730e+08 2.1410845285712776e+08 2.1348870644724807e+08 2.1278797193427685e+08 2.1200233347389495e+08 2.1112039234403485e+08 2.1012988160741332e+08 2.0901815096178868e+08 2.0777251151513988e+08 2.0637865704391885e+08 2.0483991903518572e+08 2.0312734548758882e+08 2.0124768376612902e+08 1.9920528167567950e+08 1.9701615859762150e+08 1.9470757042811969e+08 1.9233139579642615e+08 1.8996458265042064e+08 1.8773489771687528e+08 1.8579944833671856e+08 1.8440802001027825e+08 1.8390720283436999e+08 1.8480155899212950e+08 1.8782448803454390e+08 1.9408742074774888e+08 2.0534960601592600e+08 2.2457789225885624e+08 6.5462416887266584e+07 +7.4431810603533659e+00 4.1944701290175354e+08 4.1940670341515130e+08 4.1933890244037199e+08 4.1925094741307551e+08 4.1916491378609550e+08 4.1911465550939578e+08 4.1911500830192387e+08 4.1914052632971925e+08 4.1916551395013726e+08 4.1918475972268331e+08 4.1920119736236638e+08 4.1921502777522933e+08 4.1922535407079023e+08 4.1923164030560279e+08 4.1923356265082854e+08 4.1923054388614666e+08 4.1922193974377525e+08 4.1920714123204863e+08 4.1918546023404807e+08 4.1915601028923619e+08 4.1911771015341610e+08 4.1906910519204849e+08 4.1900740829102886e+08 4.1892764591833258e+08 4.1882852512803626e+08 4.1871028634666622e+08 4.1856828415190327e+08 4.1839692912783855e+08 4.1819024389827949e+08 4.1794104978906661e+08 4.1764055852757967e+08 4.1727795925237960e+08 4.1683993000878859e+08 4.1631005466788083e+08 4.1566814748864126e+08 4.1488940061676031e+08 4.1394347841204953e+08 4.1279350145192659e+08 4.1139509672094238e+08 4.0969549598098010e+08 4.0746307671383262e+08 4.0472416270810068e+08 4.0138168850332272e+08 3.9733342734887797e+08 3.9247961859639537e+08 3.8673417998935044e+08 3.8003907227721912e+08 3.7238006186153430e+08 3.6380108416733956e+08 3.5441044577478737e+08 3.4437789788844025e+08 3.3393176199398905e+08 3.2333785485203898e+08 3.1284539799709064e+08 3.0267833848416793e+08 2.9302232461963952e+08 2.8400386732764626e+08 2.7569868199041587e+08 2.6813325830293256e+08 2.6130954289567831e+08 2.5519521810766703e+08 2.4975705616635343e+08 2.4494155485094640e+08 2.4071102780810535e+08 2.3701280260431379e+08 2.3379940846835294e+08 2.3103444065820915e+08 2.2867188901525328e+08 2.2666615970832896e+08 2.2498558300775230e+08 2.2358543908490339e+08 2.2243758380335096e+08 2.2150633861486158e+08 2.2076334321483591e+08 2.2016725227542785e+08 2.1967643150672507e+08 2.1926305939575952e+08 2.1889882654279608e+08 2.1855300956359735e+08 2.1830760447706926e+08 2.1805959077794728e+08 2.1780643379162344e+08 2.1754124100729403e+08 2.1726765664886403e+08 2.1697754033547729e+08 2.1668207005442035e+08 2.1635282276001561e+08 2.1600046240193564e+08 2.1561850620052218e+08 2.1520189194991478e+08 2.1474446815945518e+08 2.1423930507250395e+08 2.1367616438213092e+08 2.1305766749991030e+08 2.1235834793126649e+08 2.1157429583593342e+08 2.1069413550558579e+08 2.0970562477052075e+08 2.0859613886919993e+08 2.0735301452884090e+08 2.0596197502774414e+08 2.0442634206947902e+08 2.0271722638179773e+08 2.0084135987310028e+08 1.9880308157063237e+08 1.9661837851202717e+08 1.9431445156336766e+08 1.9194307461018741e+08 1.8958104080799258e+08 1.8735585611233553e+08 1.8542431458680376e+08 1.8403569572250801e+08 1.8353589039388239e+08 1.8442844096756914e+08 1.8744526650769916e+08 1.9369555408257574e+08 2.0493500145879874e+08 2.2412446304729271e+08 6.5268407787240215e+07 +7.4481493831276238e+00 4.1907907061190712e+08 4.1903879011237317e+08 4.1897104513684088e+08 4.1888315400080782e+08 4.1879717261355466e+08 4.1874692337133628e+08 4.1874722995262337e+08 4.1877266898437870e+08 4.1879756587295103e+08 4.1881671057721281e+08 4.1883303115237242e+08 4.1884672521368539e+08 4.1885689285546941e+08 4.1886299417163759e+08 4.1886470049220163e+08 4.1886142915233606e+08 4.1885252923336691e+08 4.1883738363903439e+08 4.1881529467674178e+08 4.1878536474555922e+08 4.1874649959339410e+08 4.1869722942082757e+08 4.1863474798002774e+08 4.1855404933944005e+08 4.1845379514458597e+08 4.1833419970253104e+08 4.1819059948792386e+08 4.1801737294402760e+08 4.1780850077567333e+08 4.1755675625516915e+08 4.1725329735939533e+08 4.1688725383567864e+08 4.1644523901430947e+08 4.1591076747523773e+08 4.1526358097715521e+08 4.1447879826530045e+08 4.1352601282318980e+08 4.1236828182925922e+08 4.1096118307358825e+08 4.0925192226138592e+08 4.0700805692868334e+08 4.0425666326153791e+08 4.0090083097546059e+08 3.9683859150846732e+08 3.9197055918275553e+08 3.8621114501607805e+08 3.7950290323514050e+08 3.7183225057795113e+08 3.6324376017970169e+08 3.5384628119134265e+08 3.4380993194071597e+08 3.3336313867057574e+08 3.2277153873888963e+08 3.1228398181499153e+08 3.0212387989105648e+08 2.9247626393603289e+08 2.8346705520841610e+08 2.7517145314064044e+08 2.6761554998003426e+08 2.6080098669725063e+08 2.5469526750651419e+08 2.4926503781956902e+08 2.4445675919778094e+08 2.4023270847037917e+08 2.3654023880677834e+08 2.3333191432568118e+08 2.3057135490075159e+08 2.2821261005448392e+08 2.2621014992973271e+08 2.2453234437614185e+08 2.2313454717094836e+08 2.2198864921396285e+08 2.2105902707655376e+08 2.2031735822890508e+08 2.1972236147361669e+08 2.1923247087741208e+08 2.1881990239529708e+08 2.1845639028125039e+08 2.1811126639093503e+08 2.1786635598218903e+08 2.1761884313550806e+08 2.1736619778257844e+08 2.1710154110354695e+08 2.1682850985895300e+08 2.1653898073438570e+08 2.1624410589776152e+08 2.1591552424215585e+08 2.1556387623843324e+08 2.1518269220959958e+08 2.1476692018186119e+08 2.1431042109774804e+08 2.1380627920715073e+08 2.1324427753440157e+08 2.1262702902771661e+08 2.1192912308822027e+08 2.1114665588315323e+08 2.1026827469713202e+08 2.0928176210454115e+08 2.0817451886131844e+08 2.0693390728979033e+08 2.0554568013952044e+08 2.0401314935549253e+08 2.0230748831433886e+08 2.0043541349177572e+08 1.9840125514504144e+08 1.9622096799883315e+08 1.9392169793971688e+08 1.9155511420672807e+08 1.8919785530442578e+08 1.8697716667330122e+08 1.8504952937107745e+08 1.8366371735797864e+08 1.8316492293326679e+08 1.8405566959948978e+08 1.8706639730870399e+08 1.9330405149425754e+08 2.0452078210050657e+08 2.2367145511752790e+08 6.5074887624309905e+07 +7.4531177059018816e+00 4.1870988578763956e+08 4.1866963887234259e+08 4.1860194561584312e+08 4.1851411797304308e+08 4.1842818907677591e+08 4.1837794913478303e+08 4.1837820960615450e+08 4.1840356971722311e+08 4.1842837595845908e+08 4.1844741975420266e+08 4.1846362347159964e+08 4.1847718145240408e+08 4.1848719078699845e+08 4.1849310761885399e+08 4.1849459845169139e+08 4.1849107519301474e+08 4.1848188029292792e+08 4.1846638857595712e+08 4.1844389280089235e+08 4.1841348426082987e+08 4.1837405573382455e+08 4.1832412230409533e+08 4.1826085865537035e+08 4.1817922656637055e+08 4.1807784240130377e+08 4.1795689441649979e+08 4.1781170106219232e+08 4.1763660876050252e+08 4.1742555644804305e+08 4.1717126952141637e+08 4.1686485241436934e+08 4.1649537572345102e+08 4.1604938834300745e+08 4.1551033588452137e+08 4.1485788797634715e+08 4.1406709038426930e+08 4.1310746619091952e+08 4.1194200970500344e+08 4.1052625010132498e+08 4.0880736764344853e+08 4.0655210410257113e+08 4.0378828616628695e+08 4.0041915935998708e+08 3.9634301371806306e+08 3.9146083856763965e+08 3.8568753770159906e+08 3.7896625764179921e+08 3.7128406351493084e+08 3.6268616348354059e+08 3.5328194604548752e+08 3.4324189322600973e+08 3.3279453289199835e+08 3.2220532059603548e+08 3.1172273267046577e+08 3.0156964566751873e+08 2.9193047379274529e+08 2.8293054986381280e+08 2.7464455892832100e+08 2.6709819739458153e+08 2.6029280208202657e+08 2.5419570031688055e+08 2.4877341172269210e+08 2.4397236238546449e+08 2.3975479292711028e+08 2.3606808252121326e+08 2.3286483047118706e+08 2.3010868151066789e+08 2.2775374497155154e+08 2.2575455506726420e+08 2.2407952132522467e+08 2.2268407115212610e+08 2.2154013056937653e+08 2.2061213130692229e+08 2.1987178867740887e+08 2.1927788565539098e+08 2.1878892468229121e+08 2.1837715924308139e+08 2.1801436727419209e+08 2.1766993585560963e+08 2.1742551966955405e+08 2.1717850720969242e+08 2.1692637301241067e+08 2.1666225193756682e+08 2.1638977328944165e+08 2.1610083080127931e+08 2.1580655086165562e+08 2.1547863422225901e+08 2.1512769790646738e+08 2.1474728532842812e+08 2.1433235473588496e+08 2.1387677949360415e+08 2.1337365784452996e+08 2.1281279412145990e+08 2.1219679283308682e+08 2.1150029920121697e+08 2.1071941540530285e+08 2.0984281170109817e+08 2.0885829538370764e+08 2.0775329270283034e+08 2.0651519155232152e+08 2.0512977412194908e+08 2.0360034262266788e+08 2.0189813300009590e+08 2.0002984632100382e+08 1.9799980408098632e+08 1.9582392872126064e+08 1.9352931120073566e+08 1.9116751620986190e+08 1.8881502774354637e+08 1.8659883098472396e+08 1.8467509425812238e+08 1.8329208647357899e+08 1.8279430200467867e+08 1.8368324644806615e+08 1.8668788202323306e+08 1.9291291462172034e+08 2.0410694967487532e+08 2.2321887036584288e+08 6.4881855570773654e+07 +7.4580860286761395e+00 4.1833946369811147e+08 4.1829924802378327e+08 4.1823161023649549e+08 4.1814384650583917e+08 4.1805797018964815e+08 4.1800773984426469e+08 4.1800795430892998e+08 4.1803323557538086e+08 4.1805795125651377e+08 4.1807689430257344e+08 4.1809298137133455e+08 4.1810640354351127e+08 4.1811625491689283e+08 4.1812198769992739e+08 4.1812326358370417e+08 4.1811948906260926e+08 4.1810999997849607e+08 4.1809416310008943e+08 4.1807126166483247e+08 4.1804037589330763e+08 4.1800038563556749e+08 4.1794979090465307e+08 4.1788574738115382e+08 4.1780318466613817e+08 4.1770067396728915e+08 4.1757837756169307e+08 4.1743159595094281e+08 4.1725464365719920e+08 4.1704141800004905e+08 4.1678459667760158e+08 4.1647523078773749e+08 4.1610233201692396e+08 4.1565238510318595e+08 4.1510876701027048e+08 4.1445107560626352e+08 4.1365428409844172e+08 4.1268784564350367e+08 4.1151469220901716e+08 4.1009030493058586e+08 4.0836183924396914e+08 4.0609522533220923e+08 4.0331903848472714e+08 3.9993668066575527e+08 3.9584670090803397e+08 3.9095046357117814e+08 3.8516336471822548e+08 3.7842914197967976e+08 3.7073550691814446e+08 3.6212830004331082e+08 3.5271744598155957e+08 3.4267378703760237e+08 3.3222594958352321e+08 3.2163920497834045e+08 3.1116165476114696e+08 3.0101563967661762e+08 2.9138495774939483e+08 2.8239435458497185e+08 2.7411800241101521e+08 2.6658120340329051e+08 2.5978499173596007e+08 2.5369651908001366e+08 2.4828218029394460e+08 2.4348836672813407e+08 2.3927728340422931e+08 2.3559633589891505e+08 2.3239815899420437e+08 2.2964642252415004e+08 2.2729529575887284e+08 2.2529937707752949e+08 2.2362711578125533e+08 2.2223401293162200e+08 2.2109202975428370e+08 2.2016565317684615e+08 2.1942663642103532e+08 2.1883382667338431e+08 2.1834579476836440e+08 2.1793483178182846e+08 2.1757275936106524e+08 2.1722901979411954e+08 2.1698509737335992e+08 2.1673858483283615e+08 2.1648696131144828e+08 2.1622337533716711e+08 2.1595144876578531e+08 2.1566309235912654e+08 2.1536940676655498e+08 2.1504215451807976e+08 2.1469192922127959e+08 2.1431228736836079e+08 2.1389819742022854e+08 2.1344354515136501e+08 2.1294144278496364e+08 2.1238171593903717e+08 2.1176696070612401e+08 2.1107187805478927e+08 2.1029257618018040e+08 2.0941774828755158e+08 2.0843522636982477e+08 2.0733246214636600e+08 2.0609686905840513e+08 2.0471425870551640e+08 2.0318792358867151e+08 2.0148916214265129e+08 1.9962466004850927e+08 1.9759873004863164e+08 1.9542726233141914e+08 1.9313729297934964e+08 1.9078028223252773e+08 1.8843255971840149e+08 1.8622085062088513e+08 1.8430101080577150e+08 1.8292080461535215e+08 1.8242402915071750e+08 1.8331117306288174e+08 1.8630972222639897e+08 1.9252214509198999e+08 2.0369350590367872e+08 2.2276671067503384e+08 6.4689310798255228e+07 +7.4630543514503973e+00 4.1796781336856377e+08 4.1792763086317420e+08 4.1786004656565940e+08 4.1777234671452999e+08 4.1768652295899671e+08 4.1763630253193098e+08 4.1763647109677875e+08 4.1766167359551412e+08 4.1768629880467874e+08 4.1770514126111418e+08 4.1772111189047784e+08 4.1773439852634788e+08 4.1774409228634334e+08 4.1774964145646143e+08 4.1775070292997873e+08 4.1774667780421901e+08 4.1773689533407122e+08 4.1772071425554305e+08 4.1769740831429833e+08 4.1766604669129080e+08 4.1762549634764510e+08 4.1757424227319151e+08 4.1750942121041811e+08 4.1742593069292247e+08 4.1732229690029854e+08 4.1719865619815874e+08 4.1705029121833205e+08 4.1687148470297360e+08 4.1665609250450224e+08 4.1639674480144745e+08 4.1608443956256276e+08 4.1570812980533987e+08 4.1525423638914841e+08 4.1470606795291537e+08 4.1404315097294283e+08 4.1324038651901853e+08 4.1226715829512137e+08 4.1108633645557225e+08 4.0965335467210484e+08 4.0791534416325319e+08 4.0563742769787586e+08 4.0284892726160288e+08 3.9945340188370740e+08 3.9534965998946583e+08 3.9043944099395275e+08 3.8463863271787000e+08 3.7789156270883161e+08 3.7018658701157588e+08 3.6157017580114776e+08 3.5215278662040704e+08 3.4210561864598495e+08 3.3165739364802492e+08 3.2107319641958195e+08 3.1060075226293832e+08 3.0046186576056206e+08 2.9083971934588695e+08 2.8185847264394397e+08 2.7359178662815714e+08 2.6606457084642962e+08 2.5927755832921454e+08 2.5319772632140553e+08 2.4779134593672895e+08 2.4300477452512613e+08 2.3880018211353680e+08 2.3512500107767269e+08 2.3193190196960813e+08 2.2918457996390429e+08 2.2683726439548966e+08 2.2484461790367454e+08 2.2317512965881953e+08 2.2178437440030369e+08 2.2064434864100543e+08 2.1971959454451472e+08 2.1898190330727834e+08 2.1839018636778760e+08 2.1790308297055686e+08 2.1749292184177893e+08 2.1713156836872849e+08 2.1678852003031227e+08 2.1654509091571096e+08 2.1629907782452512e+08 2.1604796449712467e+08 2.1578491311792988e+08 2.1551353810147688e+08 2.1522576721867982e+08 2.1493267542078793e+08 2.1460608693510568e+08 2.1425657198505625e+08 2.1387770012919387e+08 2.1346445003082347e+08 2.1301071986299118e+08 2.1250963581610933e+08 2.1195104476997456e+08 2.1133753442464697e+08 2.1064386142096159e+08 2.0986613997326797e+08 2.0899308621476611e+08 2.0801255681299150e+08 2.0691202893280187e+08 2.0567894153855345e+08 2.0429913560900348e+08 2.0277589395929727e+08 2.0108057743327034e+08 1.9921985635005724e+08 1.9719803470711851e+08 1.9503097046984857e+08 1.9274564489696404e+08 1.9039341387614703e+08 1.8805045281090701e+08 1.8584322714512238e+08 1.8392728056140807e+08 1.8254987331935728e+08 1.8205410590266544e+08 1.8293945098316890e+08 1.8593191948231894e+08 1.9213174452192017e+08 2.0328045249718833e+08 2.2231497791559103e+08 6.4497252477718592e+07 +7.4680226742246552e+00 4.1759494093122375e+08 4.1755479228580886e+08 4.1748726079706669e+08 4.1739962551049888e+08 4.1731385439346242e+08 4.1726364421908718e+08 4.1726376699406350e+08 4.1728889080068308e+08 4.1731342562895381e+08 4.1733216765593845e+08 4.1734802205618584e+08 4.1736117342872643e+08 4.1737070992377830e+08 4.1737607591701621e+08 4.1737692352056980e+08 4.1737264844904345e+08 4.1736257339153910e+08 4.1734604907614088e+08 4.1732233978353804e+08 4.1729050369007063e+08 4.1724939490679830e+08 4.1719748344812214e+08 4.1713188718334198e+08 4.1704747169006211e+08 4.1694271824529624e+08 4.1681773737493300e+08 4.1666779391626716e+08 4.1648713895250958e+08 4.1626958702136278e+08 4.1600772095773560e+08 4.1569248580842960e+08 4.1531277616362405e+08 4.1485494928212827e+08 4.1430224580001289e+08 4.1363412116953093e+08 4.1282540474305910e+08 4.1184541124560332e+08 4.1065694954427063e+08 4.0921540642098182e+08 4.0746788948639756e+08 4.0517871826223987e+08 4.0237795952448881e+08 3.9896932998615050e+08 3.9485189785434061e+08 3.8992777761651009e+08 3.8411334833190084e+08 3.7735352626862746e+08 3.6963730999663579e+08 3.6101179667698067e+08 3.5158797356101716e+08 3.4153739329900736e+08 3.3108886996653479e+08 3.2050729943177378e+08 3.1004002933183378e+08 2.9990832774221188e+08 2.9029476210370451e+08 2.8132290729536682e+08 2.7306591460242820e+08 2.6554830254672021e+08 2.5877050451524597e+08 2.5269932455103964e+08 2.4730091103861389e+08 2.4252158806124720e+08 2.3832349125262481e+08 2.3465408018129459e+08 2.3146606145887932e+08 2.2872315583939093e+08 2.2637965284749576e+08 2.2439027947574365e+08 2.2272356485841855e+08 2.2133515743553045e+08 2.2019708908875406e+08 2.1927395725522712e+08 2.1853759117109758e+08 2.1794696656594136e+08 2.1746079111030516e+08 2.1705143124099308e+08 2.1669079611173165e+08 2.1634843837541491e+08 2.1610550210543442e+08 2.1585998799184200e+08 2.1560938437457737e+08 2.1534686708245844e+08 2.1507604309662089e+08 2.1478885717824990e+08 2.1449635862016448e+08 2.1417043326640382e+08 2.1382162798805267e+08 2.1344352539739791e+08 2.1303111435093477e+08 2.1257830540823120e+08 2.1207823871361998e+08 2.1152078238530514e+08 2.1090851575452736e+08 2.1021625105977941e+08 2.0944010853805321e+08 2.0856882722897431e+08 2.0759028845117787e+08 2.0649199479069278e+08 2.0526141071124688e+08 2.0388440653926679e+08 2.0236425542871779e+08 2.0067238055225801e+08 1.9881543689042526e+08 1.9679771970375499e+08 1.9463505476623082e+08 1.9235436856398273e+08 1.9000691273180869e+08 1.8766870859234539e+08 1.8546596211025929e+08 1.8355390506180364e+08 1.8217929411064231e+08 1.8168453378165528e+08 1.8256808173718974e+08 1.8555447534453127e+08 1.9174171451635101e+08 2.0286779115385595e+08 2.2186367394465670e+08 6.4305679779482290e+07 +7.4729909969989130e+00 4.1722085389728570e+08 4.1718073673572475e+08 4.1711325930580187e+08 4.1702568946151847e+08 4.1693997151335227e+08 4.1688977191511267e+08 4.1688984901404732e+08 4.1691489420322680e+08 4.1693933874367070e+08 4.1695798050149029e+08 4.1697371888353544e+08 4.1698673526699948e+08 4.1699611484566563e+08 4.1700129810020316e+08 4.1700193237412000e+08 4.1699740801599026e+08 4.1698704117112154e+08 4.1697017458268309e+08 4.1694606309496295e+08 4.1691375391335642e+08 4.1687208833867329e+08 4.1681952145634621e+08 4.1675315232825029e+08 4.1666781468787962e+08 4.1656194503529441e+08 4.1643562812731487e+08 4.1628411108380097e+08 4.1610161344948834e+08 4.1588190859741193e+08 4.1561753219793481e+08 4.1529937658283401e+08 4.1491627815419400e+08 4.1445453085026813e+08 4.1389730762412691e+08 4.1322399327384490e+08 4.1240934585302001e+08 4.1142261157997125e+08 4.1022653856012857e+08 4.0877646725703418e+08 4.0701948228143883e+08 4.0471910407209057e+08 4.0190614228336525e+08 3.9848447192659587e+08 3.9435342137595546e+08 3.8941548019914204e+08 3.8358751817035127e+08 3.7681503907643539e+08 3.6908768205323368e+08 3.6045316856852645e+08 3.5102301237917084e+08 3.4096911622211689e+08 3.3052038339760417e+08 3.1994151850528222e+08 3.0947949010206360e+08 2.9935502942409855e+08 2.8975008952431494e+08 2.8078766177457654e+08 2.7254038933852375e+08 2.6503240131115538e+08 2.5826383293175316e+08 2.5220131626283202e+08 2.4681087797274509e+08 2.4203880960659444e+08 2.3784721300462264e+08 2.3418357531934804e+08 2.3100063951002952e+08 2.2826215214647317e+08 2.2592246306748334e+08 2.2393636371071944e+08 2.2227242326835838e+08 2.2088636390232202e+08 2.1975025294448352e+08 2.1882874314181092e+08 2.1809370183509088e+08 2.1750416908292481e+08 2.1701892099726835e+08 2.1661036178430203e+08 2.1625044439145595e+08 2.1590877662819096e+08 2.1566633273951840e+08 2.1542131712975940e+08 2.1517122273650682e+08 2.1490923902145353e+08 2.1463896553974432e+08 2.1435236402360830e+08 2.1406045814796016e+08 2.1373519529257452e+08 2.1338709900818977e+08 2.1300976494788465e+08 2.1259819215181929e+08 2.1214630355471963e+08 2.1164725324076077e+08 2.1109093054361790e+08 2.1047990644923779e+08 2.0978904871882331e+08 2.0901448361598840e+08 2.0814497306424558e+08 2.0716842301034433e+08 2.0607236143696463e+08 2.0484427828296709e+08 2.0347007319152480e+08 2.0195300967946944e+08 2.0026457316792560e+08 1.9841140332230306e+08 1.9639778667518270e+08 1.9423951683884174e+08 1.9196346557970488e+08 1.8962078037898681e+08 1.8728732862296778e+08 1.8508905705826810e+08 1.8318088583299786e+08 1.8180906850398690e+08 1.8131531429839319e+08 1.8219706684315678e+08 1.8517739135571164e+08 1.9135205666987661e+08 2.0245552356032529e+08 2.2141280060730153e+08 6.4114591873233452e+07 +7.4779593197731709e+00 4.1684555590822762e+08 4.1680547400935888e+08 4.1673804868434858e+08 4.1665054517074770e+08 4.1656488134941310e+08 4.1651469261901641e+08 4.1651472415843982e+08 4.1653969080290174e+08 4.1656404515149647e+08 4.1658258680083215e+08 4.1659820937638283e+08 4.1661109104519284e+08 4.1662031405726135e+08 4.1662531501108128e+08 4.1662573649689126e+08 4.1662096351255411e+08 4.1661030568124479e+08 4.1659309778442061e+08 4.1656858525888723e+08 4.1653580437249297e+08 4.1649358365586984e+08 4.1644036331259406e+08 4.1637322366240716e+08 4.1628696670481867e+08 4.1617998429160428e+08 4.1605233547931719e+08 4.1589924974817735e+08 4.1571491522448915e+08 4.1549306426826757e+08 4.1522618556202060e+08 4.1490511892995995e+08 4.1451864282684594e+08 4.1405298814822692e+08 4.1349126048593718e+08 4.1281277435134339e+08 4.1199221691742063e+08 4.1099876636889744e+08 4.0979511057212448e+08 4.0833654424457115e+08 4.0657012960076576e+08 4.0425859215664959e+08 4.0143348253060269e+08 3.9799883464158344e+08 3.9385423740825534e+08 3.8890255548224664e+08 3.8306114882335114e+08 3.7627610752891827e+08 3.6853770933904952e+08 3.5989429735042530e+08 3.5045790862853110e+08 3.4040079261850625e+08 3.2995193877770436e+08 3.1937585810879058e+08 3.0891913868745172e+08 2.9880197458882481e+08 2.8920570509036601e+08 2.8025273929925942e+08 2.7201521382316220e+08 2.6451686992876852e+08 2.5775754619988483e+08 2.5170370393547246e+08 2.4632124909685406e+08 2.4155644141707322e+08 2.3737134953854045e+08 2.3371348858776620e+08 2.3053563815715623e+08 2.2780157086783776e+08 2.2546569699523073e+08 2.2348287251268119e+08 2.2182170676353973e+08 2.2043799565258527e+08 2.1930384204186153e+08 2.1838395402449000e+08 2.1765023710908017e+08 2.1706179572093201e+08 2.1657747442826357e+08 2.1616971526454946e+08 2.1581051499786350e+08 2.1546953657558367e+08 2.1522758460246825e+08 2.1498306702065876e+08 2.1473348136315036e+08 2.1447203071291980e+08 2.1420230720668012e+08 2.1391628952835301e+08 2.1362497577533123e+08 2.1330037478224716e+08 2.1295298681067985e+08 2.1257642054301575e+08 2.1216568519272566e+08 2.1171471605745566e+08 2.1121668114871043e+08 2.1066149099143976e+08 2.1005170825029579e+08 2.0936225613392195e+08 2.0858926693615597e+08 2.0772152544287354e+08 2.0674696220446628e+08 2.0565313057666323e+08 2.0442754594866928e+08 2.0305613724945426e+08 2.0154215838252738e+08 1.9985715693712980e+08 1.9800775728761771e+08 1.9599823724619558e+08 1.9384435829473850e+08 1.9157293753240350e+08 1.8923501838677546e+08 1.8690631445267084e+08 1.8471251352066606e+08 1.8280822439081705e+08 1.8143919800363231e+08 1.8094644895313981e+08 1.8182640780827585e+08 1.8480066904814437e+08 1.9096277256545234e+08 2.0204365139190352e+08 2.2096235973521489e+08 6.3923987928041890e+07 +7.4829276425474287e+00 4.1646906146055353e+08 4.1642900868080336e+08 4.1636163756174904e+08 4.1627419977455401e+08 4.1618859093209851e+08 4.1613841331896347e+08 4.1613839941848934e+08 4.1616328758864790e+08 4.1618755184339577e+08 4.1620599354399759e+08 4.1622150052654368e+08 4.1623424775526309e+08 4.1624331455175275e+08 4.1624813364353454e+08 4.1624834288333851e+08 4.1624332193424141e+08 4.1623237391780585e+08 4.1621482567885447e+08 4.1618991327358472e+08 4.1615666206726128e+08 4.1611388785916764e+08 4.1606001601886934e+08 4.1599210818914866e+08 4.1590493474717236e+08 4.1579684302248764e+08 4.1566786644223869e+08 4.1551321692375469e+08 4.1532705129581738e+08 4.1510306105540454e+08 4.1483368807622147e+08 4.1450971988092405e+08 4.1411987721759766e+08 4.1365032821754700e+08 4.1308411143142503e+08 4.1240047145196402e+08 4.1157402499069726e+08 4.1057388266780657e+08 4.0936267263511342e+08 4.0789564443198472e+08 4.0611983848123479e+08 4.0379718952903318e+08 4.0095998724110240e+08 3.9751242504820633e+08 3.9335435278612077e+08 3.8838901018690836e+08 3.8253424685894191e+08 3.7573673800044864e+08 3.6798739798947084e+08 3.5933518887561452e+08 3.4989266784044689e+08 3.3983242766883439e+08 3.2938354092179883e+08 3.1881032269028187e+08 3.0835897918149555e+08 2.9824916699917221e+08 2.8866161226547194e+08 2.7971814306851351e+08 2.7149039102651095e+08 2.6400171117278817e+08 2.5725164692500702e+08 2.5120649003253788e+08 2.4583202675378761e+08 2.4107448573320678e+08 2.3689590300913361e+08 2.3324382206857878e+08 2.3007105942089471e+08 2.2734141397241694e+08 2.2500935655672917e+08 2.2302980777253565e+08 2.2137141720646417e+08 2.1999005452550590e+08 2.1885785820246488e+08 2.1793959171083760e+08 2.1720719879070607e+08 2.1661984826993221e+08 2.1613645318768841e+08 2.1572949346233082e+08 2.1537100970761669e+08 2.1503071999108571e+08 2.1478925946622822e+08 2.1454523943433222e+08 2.1429616202244192e+08 2.1403524392271835e+08 2.1376606986113268e+08 2.1348063545368207e+08 2.1318991326108557e+08 2.1286597349126735e+08 2.1251929314923736e+08 2.1214349393296048e+08 2.1173359522036308e+08 2.1128354465972936e+08 2.1078652417632911e+08 2.1023246546340913e+08 2.0962392288724634e+08 2.0893587502896932e+08 2.0816446021611199e+08 2.0729848607485768e+08 2.0632590773580459e+08 2.0523430390318483e+08 2.0401121539154363e+08 2.0264260038474610e+08 2.0113170319734788e+08 1.9945013350567231e+08 1.9760450041621357e+08 1.9559907303031650e+08 1.9344958072997406e+08 1.9118278599936357e+08 1.8884962831330743e+08 1.8652566762003547e+08 1.8433633301802501e+08 1.8243592224006113e+08 1.8106968410320932e+08 1.8057793923539814e+08 1.8145610612975878e+08 1.8442430994323060e+08 1.9057386377549627e+08 2.0163217631173953e+08 2.2051235314745834e+08 6.3733867112374194e+07 +7.4878959653216866e+00 4.1609137199831736e+08 4.1605135056161052e+08 4.1598403258537585e+08 4.1589666090923917e+08 4.1581110727831918e+08 4.1576094099162173e+08 4.1576088177363616e+08 4.1578569153617376e+08 4.1580986579777914e+08 4.1582820771041042e+08 4.1584359931295323e+08 4.1585621237798280e+08 4.1586512330949670e+08 4.1586976097927517e+08 4.1586975851614487e+08 4.1586449026431721e+08 4.1585325286501491e+08 4.1583536525040400e+08 4.1581005412555337e+08 4.1577633398513728e+08 4.1573300793741405e+08 4.1567848656603742e+08 4.1560981290113622e+08 4.1552172580904448e+08 4.1541252822450626e+08 4.1528222801485837e+08 4.1512601961286670e+08 4.1493802866878653e+08 4.1471190596863139e+08 4.1444004675394523e+08 4.1411318645394111e+08 4.1371998834928036e+08 4.1324655808568537e+08 4.1267586749342704e+08 4.1198709161324900e+08 4.1115477711258447e+08 4.1014796751801950e+08 4.0892923178798723e+08 4.0745377485204774e+08 4.0566861594220525e+08 4.0333490318530756e+08 4.0048566337202108e+08 3.9702525004550904e+08 3.9285377432450992e+08 3.8787485101346785e+08 3.8200681882626086e+08 3.7519693684448713e+08 3.6743675411872613e+08 3.5877584897448421e+08 3.4932729552352172e+08 3.3926402653126448e+08 3.2881519462226433e+08 3.1824491667539680e+08 3.0779901565616298e+08 2.9769661039764804e+08 2.8811781449430531e+08 2.7918387626370454e+08 2.7096592390076250e+08 2.6348692779944757e+08 2.5674613769646236e+08 2.5070967700139606e+08 2.4534321327153027e+08 2.4059294478165880e+08 2.3642087555716610e+08 2.3277457783002004e+08 2.2960690530845293e+08 2.2688168341615781e+08 2.2455344366533515e+08 2.2257717136858505e+08 2.2092155644638741e+08 2.1954254234817743e+08 2.1841230323484659e+08 2.1749565799571022e+08 2.1676458866445130e+08 2.1617832850755024e+08 2.1569585904750392e+08 2.1528969814505082e+08 2.1493193028539798e+08 2.1459232863654944e+08 2.1435135909041440e+08 2.1410783612858799e+08 2.1385926647023547e+08 2.1359888040437126e+08 2.1333025525411347e+08 2.1304540354867589e+08 2.1275527235170728e+08 2.1243199316381228e+08 2.1208601976448077e+08 2.1171098685572070e+08 2.1130192396921396e+08 2.1085279109246501e+08 2.1035678405075881e+08 2.0980385568179765e+08 2.0919655207717979e+08 2.0850990711552870e+08 2.0774006516116813e+08 2.0687585665871811e+08 2.0590526129479325e+08 2.0481588309752333e+08 2.0359528828267336e+08 2.0222946425753739e+08 2.0072164577147242e+08 1.9904350450719166e+08 1.9720163432747054e+08 1.9520029563022304e+08 1.9305518572925791e+08 1.9079301254696357e+08 1.8846461170539150e+08 1.8614538965325853e+08 1.8396051706046879e+08 1.8206398087551615e+08 1.8070052828634140e+08 1.8020978662474942e+08 1.8108616329415923e+08 1.8404831555195928e+08 1.9018533186119452e+08 2.0122109997210541e+08 2.2006278265065706e+08 6.3544228594107710e+07 +7.4928642880959444e+00 4.1571249297578657e+08 4.1567250504187310e+08 4.1560524136190897e+08 4.1551793593725812e+08 4.1543243737950742e+08 4.1538228260288149e+08 4.1538217819207758e+08 4.1540690961169511e+08 4.1543099398115629e+08 4.1544923626624787e+08 4.1546451270356464e+08 4.1547699188107157e+08 4.1548574729958683e+08 4.1549020398816180e+08 4.1548999036558050e+08 4.1548447547398084e+08 4.1547294949546522e+08 4.1545472347289634e+08 4.1542901478857166e+08 4.1539482710104215e+08 4.1535095086755544e+08 4.1529578193177640e+08 4.1522634477749634e+08 4.1513734687175733e+08 4.1502704688101161e+08 4.1489542718420166e+08 4.1473766480457908e+08 4.1454785433604699e+08 4.1431960600383794e+08 4.1404526859585744e+08 4.1371552565378428e+08 4.1331898323207349e+08 4.1284168476737922e+08 4.1226653569097775e+08 4.1157264185750997e+08 4.1073448030850071e+08 4.0972102794560325e+08 4.0849479505447316e+08 4.0701094252194118e+08 4.0521646898758698e+08 4.0287174010417175e+08 4.0001051786302751e+08 3.9653731651410508e+08 3.9235250882042855e+08 3.8736008464236981e+08 3.8147887125203460e+08 3.7465671039273965e+08 3.6688578381849891e+08 3.5821628345466447e+08 3.4876179716391796e+08 3.3869559434237623e+08 3.2824690464995241e+08 3.1767964446865749e+08 3.0723925216328835e+08 2.9714430850737607e+08 2.8757431520228440e+08 2.7864994204740250e+08 2.7044181538078147e+08 2.6297252254807487e+08 2.5624102108760422e+08 2.5021326727469701e+08 2.4485481096309435e+08 2.4011182077479696e+08 2.3594626930945128e+08 2.3230575792645401e+08 2.2914317781350678e+08 2.2642238114185697e+08 2.2409796022154564e+08 2.2212496516594619e+08 2.2047212632034975e+08 2.1909546093409598e+08 2.1796717893514687e+08 2.1705215466168755e+08 2.1632240850299904e+08 2.1573723819848391e+08 2.1525569376743376e+08 2.1485033106877992e+08 2.1449327848347193e+08 2.1415436426158148e+08 2.1391388522267216e+08 2.1367085884874186e+08 2.1342279644950414e+08 2.1316294189908969e+08 2.1289486512492698e+08 2.1261059555001324e+08 2.1232105478152800e+08 2.1199843553131688e+08 2.1165316838558692e+08 2.1127890103713584e+08 2.1087067316191670e+08 2.1042245707437718e+08 2.0992746248649025e+08 2.0937566335684243e+08 2.0876959752538615e+08 2.0808435409331161e+08 2.0731608346488568e+08 2.0645363888069010e+08 2.0548502455985436e+08 2.0439786982948697e+08 2.0317976628207028e+08 2.0181673051641029e+08 2.0031198774108467e+08 1.9863727156436354e+08 1.9679916062872830e+08 1.9480190663696894e+08 1.9266117486651471e+08 1.9040361873042521e+08 1.8807997009966326e+08 1.8576548206989259e+08 1.8358506714785889e+08 1.8169240178134516e+08 1.8033173202607948e+08 1.7984199259024712e+08 1.8071658077765763e+08 1.8367268737467584e+08 1.8979717837296546e+08 2.0081042401320893e+08 2.1961365003884700e+08 6.3355071540544264e+07 +7.4978326108702023e+00 4.1533243346772188e+08 4.1529248148220712e+08 4.1522527046326220e+08 4.1513803162702155e+08 4.1505258820070082e+08 4.1500244510804981e+08 4.1500229562979305e+08 4.1502694876728362e+08 4.1505094334845269e+08 4.1506908616626978e+08 4.1508424765313375e+08 4.1509659322091901e+08 4.1510519347896719e+08 4.1510946962708950e+08 4.1510904539009857e+08 4.1510328452208084e+08 4.1509147076894641e+08 4.1507290730703729e+08 4.1504680222483546e+08 4.1501214837825537e+08 4.1496772361351961e+08 4.1491190908193237e+08 4.1484171078630155e+08 4.1475180490504020e+08 4.1464040596386534e+08 4.1450747092391902e+08 4.1434815947601789e+08 4.1415653527802777e+08 4.1392616814577210e+08 4.1364936059021187e+08 4.1331674447269613e+08 4.1291686886185366e+08 4.1243571526325995e+08 4.1185612302852583e+08 4.1115712919368833e+08 4.1031314158968389e+08 4.0929307096248800e+08 4.0805936944405884e+08 4.0656715444337118e+08 4.0476340460479218e+08 4.0240770724791199e+08 3.9953455763622087e+08 3.9604863131622636e+08 3.9185056305087405e+08 3.8684471773472351e+08 3.8095041064294618e+08 3.7411606495621049e+08 3.6633449315794492e+08 3.5765649810222900e+08 3.4819617822513103e+08 3.3812713621528542e+08 3.2767867575344670e+08 3.1711451045322818e+08 3.0667969273385972e+08 2.9659226503150135e+08 2.8703111779611659e+08 2.7811634356432354e+08 2.6991806838433361e+08 2.6245849814188814e+08 2.5573629965581596e+08 2.4971726326912633e+08 2.4436682212652504e+08 2.3963111590961710e+08 2.3547208637812105e+08 2.3183736439860255e+08 2.2867987891611043e+08 2.2596350907878274e+08 2.2364290811213866e+08 2.2167319101670861e+08 2.2002312865197152e+08 2.1864881208471575e+08 2.1752248708691299e+08 2.1660908347882539e+08 2.1588066006633565e+08 2.1529657909556368e+08 2.1481595909484941e+08 2.1441139397648504e+08 2.1405505604178947e+08 2.1371682860287920e+08 2.1347683959773442e+08 2.1323430932797363e+08 2.1298675369165272e+08 2.1272743013579381e+08 2.1245990120028439e+08 2.1217621318213019e+08 2.1188726227291524e+08 2.1156530231352243e+08 2.1122074072915894e+08 2.1084723819098607e+08 2.1043984450890279e+08 2.0999254431242368e+08 2.0949856118644646e+08 2.0894789018698245e+08 2.0834306092547056e+08 2.0765921765020138e+08 2.0689251680870089e+08 2.0603183441536200e+08 2.0506519919770637e+08 2.0398026575715908e+08 2.0276465103771958e+08 2.0140440079851413e+08 1.9990273073121789e+08 1.9823143628850514e+08 1.9639708091600826e+08 1.9440390763082033e+08 1.9226754970410571e+08 1.9001460609400821e+08 1.8769570502162495e+08 1.8538594637654847e+08 1.8320998476910144e+08 1.8132118643103188e+08 1.7996329678503978e+08 1.7947455859062830e+08 1.8034736004609323e+08 1.8329742690105969e+08 1.8940940485040581e+08 2.0040015006376895e+08 2.1916495709313753e+08 6.3166395118424162e+07 +7.5028009336444601e+00 4.1495120108145434e+08 4.1491128282671469e+08 4.1484412647655129e+08 4.1475695460785514e+08 4.1467156668401802e+08 4.1462143545288938e+08 4.1462124103092825e+08 4.1464581594402874e+08 4.1466972084208286e+08 4.1468776435275525e+08 4.1470281110580516e+08 4.1471502334147418e+08 4.1472346879226881e+08 4.1472756484221607e+08 4.1472693053559452e+08 4.1472092435570204e+08 4.1470882363251388e+08 4.1468992370114851e+08 4.1466342338373560e+08 4.1462830476752800e+08 4.1458333312731570e+08 4.1452687497004819e+08 4.1445591788198417e+08 4.1436510686497557e+08 4.1425261243165231e+08 4.1411836619536185e+08 4.1395751059153152e+08 4.1376407846214354e+08 4.1353159936473262e+08 4.1325232971123356e+08 4.1291684988957369e+08 4.1251365222142649e+08 4.1202865656069678e+08 4.1144463649775207e+08 4.1074056061627954e+08 4.0989076795258147e+08 4.0886410356483239e+08 4.0762296194987017e+08 4.0612241760160822e+08 4.0430942976518852e+08 4.0194281156136972e+08 3.9905778959556502e+08 3.9555920129591531e+08 3.9134794377374244e+08 3.8632875693038058e+08 3.8042144348501861e+08 3.7357500682334882e+08 3.6578288818545598e+08 3.5709649868069178e+08 3.4763044414853424e+08 3.3755865724179238e+08 3.2711051265940404e+08 3.1654951899176085e+08 3.0612034137857461e+08 2.9604048365332973e+08 2.8648822566324061e+08 2.7758308394138831e+08 2.6939468581170696e+08 2.6194485728731367e+08 2.5523197594241568e+08 2.4922166738647830e+08 2.4387924904532504e+08 2.3915083236984730e+08 2.3499832886182672e+08 2.3136939927327907e+08 2.2821701058307722e+08 2.2550506914313415e+08 2.2318828921131000e+08 2.2122185076061705e+08 2.1957456525281256e+08 2.1820259758875793e+08 2.1707822946119514e+08 2.1616644620476511e+08 2.1543934510178250e+08 2.1485635293898773e+08 2.1437665676435611e+08 2.1397288859929338e+08 2.1361726468815416e+08 2.1327972338555464e+08 2.1304022393865585e+08 2.1279818928722855e+08 2.1255113991548675e+08 2.1229234683137774e+08 2.1202536519491100e+08 2.1174225815762559e+08 2.1145389653552577e+08 2.1113259521772143e+08 2.1078873849989939e+08 2.1041600001877859e+08 2.1000943970829755e+08 2.0956305450126609e+08 2.0907008184150976e+08 2.0852053785838068e+08 2.0791694395858765e+08 2.0723449946193424e+08 2.0646936686252823e+08 2.0561044492554334e+08 2.0464578686353511e+08 2.0356307252642319e+08 2.0234994418587497e+08 2.0099247672897837e+08 1.9949387635492918e+08 1.9782600027913144e+08 1.9599539677461872e+08 1.9400630018061978e+08 1.9187431179418305e+08 1.8962597617156774e+08 1.8731181798599845e+08 1.8500678406964132e+08 1.8283527140273443e+08 1.8095033628817904e+08 1.7959522401555777e+08 1.7910748607431391e+08 1.7997850255491981e+08 1.8292253561047947e+08 1.8902201282178766e+08 1.9999027974116865e+08 2.1871670558229306e+08 6.2978198493939705e+07 +7.5077692564187180e+00 4.1456880303602082e+08 4.1452891769577378e+08 4.1446181699121958e+08 4.1437471181616515e+08 4.1428937975059003e+08 4.1423926057053113e+08 4.1423902132619441e+08 4.1426351807162076e+08 4.1428733339237243e+08 4.1430527775634277e+08 4.1432020999204111e+08 4.1433228917418367e+08 4.1434058017177320e+08 4.1434449656605965e+08 4.1434365273571181e+08 4.1433740190921414e+08 4.1432501502244359e+08 4.1430577959164470e+08 4.1427888520246255e+08 4.1424330320703536e+08 4.1419778634870809e+08 4.1414068653671819e+08 4.1406897300731766e+08 4.1397725969640958e+08 4.1386367323082280e+08 4.1372811994712526e+08 4.1356572510220665e+08 4.1337049084286714e+08 4.1313590661870140e+08 4.1285418292041433e+08 4.1251584886972713e+08 4.1210934028108788e+08 4.1162051563321894e+08 4.1103208307546294e+08 4.1032294310540158e+08 4.0946736637926131e+08 4.0843413273446316e+08 4.0718557955033261e+08 4.0567673896670502e+08 4.0385455142311919e+08 4.0147705997285956e+08 3.9858022062804312e+08 3.9506903327837312e+08 3.9084465772741807e+08 3.8581220885027677e+08 3.7989197624319899e+08 3.7303354226236016e+08 3.6523097492682612e+08 3.5653629093069285e+08 3.4706460035364741e+08 3.3699016249106556e+08 3.2654242007324928e+08 3.1598467442427593e+08 3.0556120208726096e+08 2.9548896803650302e+08 2.8594564217283934e+08 2.7705016628710216e+08 2.6887167054593962e+08 2.6143160267420426e+08 2.5472805247344998e+08 2.4872648201325178e+08 2.4339209398789042e+08 2.3867097232388592e+08 2.3452499884537283e+08 2.3090186456438634e+08 2.2775457476758629e+08 2.2504706323802626e+08 2.2273410538022375e+08 2.2077094622436905e+08 2.1912643792127165e+08 2.1775681922255358e+08 2.1663440781666708e+08 2.1572424458470845e+08 2.1499846534473598e+08 2.1441656145675859e+08 2.1393778849905312e+08 2.1353481665567034e+08 2.1317990613796589e+08 2.1284305032221931e+08 2.1260403995615628e+08 2.1236250043502414e+08 2.1211595682769981e+08 2.1185769369045851e+08 2.1159125881125039e+08 2.1130873217660999e+08 2.1102095926753578e+08 2.1070031593928203e+08 2.1035716339045945e+08 2.0998518821011120e+08 2.0957946044671145e+08 2.0913398932356882e+08 2.0864202613035825e+08 2.0809360804560664e+08 2.0749124829446501e+08 2.0681020119270062e+08 2.0604663528389707e+08 2.0518947206227219e+08 2.0422678920005032e+08 2.0314629177214813e+08 2.0193564735138994e+08 2.0058095992202121e+08 1.9908542621426094e+08 1.9742096512494397e+08 1.9559410977813751e+08 1.9360908584414980e+08 1.9148146267716989e+08 1.8923773048532185e+08 1.8692831049685481e+08 1.8462799663453791e+08 1.8246092851702026e+08 1.8057985280576006e+08 1.7922751515980145e+08 1.7874077647954726e+08 1.7961000974942106e+08 1.8254801497190201e+08 1.8863500380518091e+08 1.9958081465161940e+08 2.1826889726253593e+08 6.2790480832748860e+07 +7.5127375791929758e+00 4.1418524518953049e+08 4.1414539190413457e+08 4.1407834872914737e+08 4.1399131024816281e+08 4.1390603429766685e+08 4.1385592738175392e+08 4.1385564343345487e+08 4.1388006206692022e+08 4.1390378791718858e+08 4.1392163329496682e+08 4.1393645123054647e+08 4.1394839763823920e+08 4.1395653453751171e+08 4.1396027171960181e+08 4.1395921891240340e+08 4.1395272410532784e+08 4.1394005186130393e+08 4.1392048190270352e+08 4.1389319460609549e+08 4.1385715062294215e+08 4.1381109020471507e+08 4.1375335071101934e+08 4.1368088309229630e+08 4.1358827033054954e+08 4.1347359529497218e+08 4.1333673911544424e+08 4.1317280994740385e+08 4.1297577936171037e+08 4.1273909685263169e+08 4.1245492716665918e+08 4.1211374836543804e+08 4.1170393999644971e+08 4.1121129944056511e+08 4.1061846972582626e+08 4.0990428362706131e+08 4.0904294383769143e+08 4.0800316543829834e+08 4.0674722920775330e+08 4.0523012549265170e+08 4.0339877651722312e+08 4.0101045939298469e+08 3.9810185760223806e+08 3.9457813407044327e+08 3.9034071163179278e+08 3.8529508009500831e+08 3.7936201536217409e+08 3.7249167751899028e+08 3.6467875938577402e+08 3.5597588057148671e+08 3.4649865223684102e+08 3.3642165701021338e+08 3.2597440267751318e+08 3.1541998107048982e+08 3.0500227882938564e+08 2.9493772182499659e+08 2.8540337067475986e+08 2.7651759369238323e+08 2.6834902545332667e+08 2.6091873697594595e+08 2.5422453175813702e+08 2.4823170952058128e+08 2.4290535920805719e+08 2.3819153792657167e+08 2.3405209839906472e+08 2.3043476227087715e+08 2.2729257340979820e+08 2.2458949325332060e+08 2.2228035846755794e+08 2.2032047922159338e+08 2.1867874844342256e+08 2.1731147874946743e+08 2.1619102389941314e+08 2.1528248035126960e+08 2.1455802251828939e+08 2.1397720636472642e+08 2.1349935600921550e+08 2.1309717985211623e+08 2.1274298209452996e+08 2.1240681111330858e+08 2.1216828934854457e+08 2.1192724446823490e+08 2.1168120612310058e+08 2.1142347240566754e+08 2.1115758373984221e+08 2.1087563692725202e+08 2.1058845215469900e+08 2.1026846616160414e+08 2.0992601708122367e+08 2.0955480444271702e+08 2.0914990839838231e+08 2.0870535045022085e+08 2.0821439571979219e+08 2.0766710241099283e+08 2.0706597559061056e+08 2.0638632449467620e+08 2.0562432371937582e+08 2.0476891746471933e+08 2.0380820783926502e+08 2.0272992511713094e+08 2.0152176214763677e+08 2.0016985198008880e+08 1.9867738189950746e+08 1.9701633240309578e+08 1.9519322148943290e+08 1.9321226616808936e+08 1.9108900388269982e+08 1.8884987054741934e+08 1.8654518404774937e+08 1.8424958554635802e+08 1.8208695756948820e+08 1.8020973742625493e+08 1.7886017164956641e+08 1.7837443123417333e+08 1.7924188306438926e+08 1.8217386644357494e+08 1.8824837930762514e+08 1.9917175638907695e+08 2.1782153387756240e+08 6.2603241299989045e+07 +7.5177059019672337e+00 4.1380053411304814e+08 4.1376071420923346e+08 4.1369372769036132e+08 4.1360675677325702e+08 4.1352153720432526e+08 4.1347144279359835e+08 4.1347111425730288e+08 4.1349545483479762e+08 4.1351909132218814e+08 4.1353683787402141e+08 4.1355154172797817e+08 4.1356335564107972e+08 4.1357133879750627e+08 4.1357489721144223e+08 4.1357363597431105e+08 4.1356689785365486e+08 4.1355394106006348e+08 4.1353403754548597e+08 4.1350635850724363e+08 4.1346985392864370e+08 4.1342325161017698e+08 4.1336487440843755e+08 4.1329165505431777e+08 4.1319814568703568e+08 4.1308238554522568e+08 4.1294423062367249e+08 4.1277877205216807e+08 4.1257995094784886e+08 4.1234117699865574e+08 4.1205456938510799e+08 4.1171055531532484e+08 4.1129745831059480e+08 4.1080101492931008e+08 4.1020380339763445e+08 4.0948458913353658e+08 4.0861750728004670e+08 4.0757120862799865e+08 4.0630791786967987e+08 4.0478258411751598e+08 4.0294211196929926e+08 4.0054301671647209e+08 3.9762270736941516e+08 3.9408651046047556e+08 3.8983611218684483e+08 3.8477737724488884e+08 3.7883156726456714e+08 3.7194941881789309e+08 3.6412624754453218e+08 3.5541527329992491e+08 3.4593260517210448e+08 3.3585314582411999e+08 3.2540646513434261e+08 3.1485544322855872e+08 3.0444357555411673e+08 2.9438674864305031e+08 2.8486141450003630e+08 2.7598536922977543e+08 2.6782675338223907e+08 2.6040626284981039e+08 2.5372141629080063e+08 2.4773735226401493e+08 2.4241904694507784e+08 2.3771253131797919e+08 2.3357962957985950e+08 2.2996809437947071e+08 2.2683100843621910e+08 2.2413236106586078e+08 2.2182705030819505e+08 2.1987045155370358e+08 2.1823149859256566e+08 2.1686657792094409e+08 2.1574807944323659e+08 2.1484115522523859e+08 2.1411801833301303e+08 2.1353828936627641e+08 2.1306136099299037e+08 2.1265997988307595e+08 2.1230649424901462e+08 2.1197100744705555e+08 2.1173297380250403e+08 2.1149242307107499e+08 2.1124688948394951e+08 2.1098968465727171e+08 2.1072434165871620e+08 2.1044297408582324e+08 2.1015637687093216e+08 2.0983704755577937e+08 2.0949530124086747e+08 2.0912485038194618e+08 2.0872078522560531e+08 2.0827713953999802e+08 2.0778719226463795e+08 2.0724102260527188e+08 2.0664112749286440e+08 2.0596287100819263e+08 2.0520243380293798e+08 2.0434878276052430e+08 2.0339004440106902e+08 2.0231397417286953e+08 2.0110829017626584e+08 1.9975915449413589e+08 1.9826974498993921e+08 1.9661210367955670e+08 1.9479273345968312e+08 1.9281584268828037e+08 1.9069693692988673e+08 1.8846239785888115e+08 1.8616244012110236e+08 1.8387155226952514e+08 1.8171336000742987e+08 1.7983999158204335e+08 1.7849319490663397e+08 1.7800845175601757e+08 1.7887412392466027e+08 1.8180009147338521e+08 1.8786214082524258e+08 1.9876310653689921e+08 2.1737461715877461e+08 6.2416479060290366e+07 +7.5226742247414915e+00 4.1341467713099962e+08 4.1337489323858774e+08 4.1330796098803443e+08 4.1322105813779771e+08 4.1313589534593046e+08 4.1308581369654667e+08 4.1308544068877143e+08 4.1310970326754624e+08 4.1313325050069803e+08 4.1315089838763803e+08 4.1316548837813443e+08 4.1317717007707280e+08 4.1318499984692252e+08 4.1318837993755031e+08 4.1318691081872505e+08 4.1317993005171609e+08 4.1316668951678514e+08 4.1314645341937876e+08 4.1311838380577964e+08 4.1308142002526343e+08 4.1303427746689641e+08 4.1297526453270268e+08 4.1290129579835999e+08 4.1280689267210811e+08 4.1269005089000279e+08 4.1255060138236672e+08 4.1238361833008945e+08 4.1218301251660645e+08 4.1194215397516656e+08 4.1165311649764585e+08 4.1130627664546365e+08 4.1088990215162385e+08 4.1038966903148514e+08 4.0978809102633041e+08 4.0906386656181556e+08 4.0819106364494008e+08 4.0713826924055183e+08 4.0586765246817166e+08 4.0433412176364446e+08 4.0248456468518162e+08 4.0007473881966817e+08 3.9714277676271194e+08 3.9359416921820724e+08 3.8933086607325548e+08 3.8425910686055213e+08 3.7830063835383123e+08 3.7140677236268473e+08 3.6357344536324030e+08 3.5485447479011178e+08 3.4536646451198661e+08 3.3528463393530524e+08 3.2483861208289373e+08 3.1429106517548317e+08 3.0388509618992686e+08 2.9383605209564114e+08 2.8431977696159661e+08 2.7545349595448679e+08 2.6730485716481626e+08 2.5989418293643212e+08 2.5321870854984024e+08 2.4724341258473688e+08 2.4193315942325976e+08 2.3723395462456697e+08 2.3310759443048379e+08 2.2950186286257532e+08 2.2636988176055914e+08 2.2367566853949749e+08 2.2137418272480881e+08 2.1942086500919917e+08 2.1778469012954682e+08 2.1642211847548166e+08 2.1530557616979924e+08 2.1440027091476697e+08 2.1367845448729149e+08 2.1309981215257114e+08 2.1262380513654965e+08 2.1222321843077335e+08 2.1187044428031096e+08 2.1153564099979350e+08 2.1129809499226588e+08 2.1105803791602862e+08 2.1081300858073819e+08 2.1055633211399043e+08 2.1029153423473760e+08 2.1001074531625631e+08 2.0972473507775879e+08 2.0940606178114524e+08 2.0906501752591893e+08 2.0869532768156964e+08 2.0829209257893887e+08 2.0784935823988327e+08 2.0736041740837246e+08 2.0681537026723021e+08 2.0621670563525483e+08 2.0553984236203656e+08 2.0478096715728369e+08 2.0392906956559893e+08 2.0297230049374172e+08 2.0189844053898892e+08 2.0069523302757913e+08 1.9934886904379526e+08 1.9786251705340782e+08 1.9620828050896347e+08 1.9439264722939649e+08 1.9241981692937610e+08 1.9030526332656953e+08 1.8807531390980333e+08 1.8578008018919268e+08 1.8349389825816417e+08 1.8134013726785702e+08 1.7947061669522160e+08 1.7812658634224814e+08 1.7764283945279106e+08 1.7850673374460524e+08 1.8142669149916422e+08 1.8747628984366030e+08 1.9835486666678908e+08 2.1692814882494071e+08 6.2230193277789079e+07 +7.5276425475157493e+00 4.1302768427667934e+08 4.1298793103431094e+08 4.1292105526092577e+08 4.1283422103759074e+08 4.1274911561161089e+08 4.1269904696764165e+08 4.1269862960545009e+08 4.1272281424537069e+08 4.1274627233345407e+08 4.1276382171616071e+08 4.1277829806296879e+08 4.1278984782882029e+08 4.1279752456863493e+08 4.1280072678164363e+08 4.1279905032944357e+08 4.1279182758438581e+08 4.1277830411753368e+08 4.1275773641074896e+08 4.1272927738881379e+08 4.1269185580124915e+08 4.1264417466526741e+08 4.1258452797459197e+08 4.1250981221645141e+08 4.1241451817950577e+08 4.1229659822475982e+08 4.1215585828897083e+08 4.1198735568129975e+08 4.1178497097098845e+08 4.1154203468813831e+08 4.1125057541359812e+08 4.1090091926763988e+08 4.1048127843581754e+08 4.0997726866571832e+08 4.0937133953342146e+08 4.0864212283579361e+08 4.0776361985592806e+08 4.0670435419726628e+08 4.0542643991956496e+08 4.0388474533686978e+08 4.0202614155341774e+08 3.9960563256221628e+08 3.9666207259747499e+08 3.9310111709488189e+08 3.8882497995286763e+08 3.8374027548197776e+08 3.7776923501195294e+08 3.7086374433533597e+08 3.6302035877974254e+08 3.5429349069440818e+08 3.4480023558589029e+08 3.3471612632463431e+08 3.2427084814144760e+08 3.1372685116781688e+08 3.0332684464488739e+08 2.9328563576783288e+08 2.8377846135316533e+08 2.7492197690302718e+08 2.6678333961537737e+08 2.5938249985984147e+08 2.5271641099768996e+08 2.4674989280852026e+08 2.4144769885230941e+08 2.3675580995769459e+08 2.3263599497994706e+08 2.2903606967940387e+08 2.2590919528284386e+08 2.2321941752497655e+08 2.2092175752739429e+08 2.1897172136392677e+08 2.1733832480284807e+08 2.1597810213943866e+08 2.1486351578797457e+08 2.1395982911576122e+08 2.1323933266732994e+08 2.1266177640285397e+08 2.1218669011372095e+08 2.1178689716508400e+08 2.1143483385554174e+08 2.1110071343560266e+08 2.1086365457988751e+08 2.1062409066358417e+08 2.1037956507197750e+08 2.1012341643202928e+08 2.0985916312185749e+08 2.0957895227083558e+08 2.0929352842547143e+08 2.0897551048513219e+08 2.0863516758104461e+08 2.0826623798355314e+08 2.0786383209704706e+08 2.0742200818521768e+08 2.0693407278191769e+08 2.0639014702385181e+08 2.0579271164001444e+08 2.0511724017302820e+08 2.0435992539368135e+08 2.0350977948418829e+08 2.0255497771386230e+08 2.0148332580379221e+08 2.0028259228056014e+08 1.9893899719743460e+08 1.9745569964635655e+08 1.9580486443489605e+08 1.9399296432765490e+08 1.9202419040502849e+08 1.8991398456976795e+08 1.8768862017995483e+08 1.8539810571362492e+08 1.8311662495560178e+08 1.8096729077713916e+08 1.7910161417786020e+08 1.7776034735776800e+08 1.7727759572193867e+08 1.7813971392859977e+08 1.8105366794798937e+08 1.8709082783766481e+08 1.9794703833925307e+08 2.1648213058261338e+08 6.2044383116141178e+07 +7.5326108702900072e+00 4.1263955597696090e+08 4.1259983720010012e+08 4.1253301737220371e+08 4.1244625232154894e+08 4.1236120490169078e+08 4.1231114946825439e+08 4.1231068787151676e+08 4.1233479463568860e+08 4.1235816368866509e+08 4.1237561472834104e+08 4.1238997765137810e+08 4.1240139576572180e+08 4.1240891983317399e+08 4.1241194461471051e+08 4.1241006137842858e+08 4.1240259732437521e+08 4.1238879173516452e+08 4.1236789339390010e+08 4.1233904613202679e+08 4.1230116813244575e+08 4.1225295008124256e+08 4.1219267161205727e+08 4.1211721118839163e+08 4.1202102909008777e+08 4.1190203443208480e+08 4.1176000822832292e+08 4.1158999099263871e+08 4.1138583320069188e+08 4.1114082603003383e+08 4.1084695302772045e+08 4.1049449008039659e+08 4.1007159406420726e+08 4.0956382073671651e+08 4.0895355582553041e+08 4.0821936486321539e+08 4.0733518282207423e+08 4.0626947040514839e+08 4.0498428712465453e+08 4.0343446172725713e+08 4.0156684944675773e+08 3.9913570478717285e+08 3.9618060167158484e+08 3.9260736082325929e+08 3.8831846046767855e+08 3.8322088962933767e+08 3.7723736359959614e+08 3.7032034089628327e+08 3.6246699371082312e+08 3.5373232664278078e+08 3.4423392370143765e+08 3.3414762795084763e+08 3.2370317790588820e+08 3.1316280544023335e+08 3.0276882480718982e+08 2.9273550322548759e+08 2.8323747094974273e+08 2.7439081509515756e+08 2.6626220353194061e+08 2.5887121622863224e+08 2.5221452608166745e+08 2.4625679524541357e+08 2.4096266742783779e+08 2.3627809941524205e+08 2.3216483324374542e+08 2.2857071677544919e+08 2.2544895089015031e+08 2.2276360986059809e+08 2.2046977651272345e+08 2.1852302238107049e+08 2.1689240434811425e+08 2.1553453062705898e+08 2.1442189999454799e+08 2.1351983151188940e+08 2.1280065454733336e+08 2.1222418378414062e+08 2.1175001758656585e+08 2.1135101774391487e+08 2.1099966462939948e+08 2.1066622640653598e+08 2.1042965421587363e+08 2.1019058296180722e+08 2.0994656060403213e+08 2.0969093925587329e+08 2.0942722996246612e+08 2.0914759658967152e+08 2.0886275855151278e+08 2.0854539530312696e+08 2.0820575303909054e+08 2.0783758291761744e+08 2.0743600540652362e+08 2.0699509099894756e+08 2.0650816000495347e+08 2.0596535449034369e+08 2.0536914711763093e+08 2.0469506604645723e+08 2.0393931011100674e+08 2.0309091410891056e+08 2.0213807764698145e+08 2.0106863154425842e+08 1.9987036950252622e+08 1.9852954051185480e+08 1.9704929431407297e+08 1.9540185698962992e+08 1.9359368627282947e+08 1.9162896461819407e+08 1.8952310214595526e+08 1.8730231813793725e+08 1.8501651814508530e+08 1.8273973379515892e+08 1.8059482195170051e+08 1.7873298543126991e+08 1.7739447934442356e+08 1.7691272195079195e+08 1.7777306587064701e+08 1.8068102223691294e+08 1.8670575627150178e+08 1.9753962310351354e+08 2.1603656412591207e+08 6.1859047738535315e+07 +7.5375791930642650e+00 4.1225030441512263e+08 4.1221061921537471e+08 4.1214385513314396e+08 4.1205715907123178e+08 4.1197217010297757e+08 4.1192212804666936e+08 4.1192162233796400e+08 4.1194565129354775e+08 4.1196893142162180e+08 4.1198628428003848e+08 4.1200053400018054e+08 4.1201182074474519e+08 4.1201919249860400e+08 4.1202204029543120e+08 4.1201995082524323e+08 4.1201224613142711e+08 4.1199815923069721e+08 4.1197693122996932e+08 4.1194769689715153e+08 4.1190936388214564e+08 4.1186061057978958e+08 4.1179970231082869e+08 4.1172349958074248e+08 4.1162643227243221e+08 4.1150636638208514e+08 4.1136305807219344e+08 4.1119153113803673e+08 4.1098560608201706e+08 4.1073853488002467e+08 4.1044225622246611e+08 4.1008699596893549e+08 4.0966085592543268e+08 4.0914933213503146e+08 4.0853474679586238e+08 4.0779559953890300e+08 4.0690575943691498e+08 4.0583362475533307e+08 4.0454120096892351e+08 4.0298327780948341e+08 4.0110669522053897e+08 3.9866496231938446e+08 3.9569837076457816e+08 3.9211290711722797e+08 3.8781131424026650e+08 3.8270095580309278e+08 3.7670503045739043e+08 3.6977656818425047e+08 3.6191335605066419e+08 3.5317098824314737e+08 3.4366753414374542e+08 3.3357914375007111e+08 3.2313560595119476e+08 3.1259893220626533e+08 3.0221104054461676e+08 2.9218565801482296e+08 2.8269680900813228e+08 2.7386001353240913e+08 2.6574145169512281e+08 2.5836033463439563e+08 2.5171305623276401e+08 2.4576412219153482e+08 2.4047806733006957e+08 2.3580082508117372e+08 2.3169411122310147e+08 2.2810580608298200e+08 2.2498915045631376e+08 2.2230824737072745e+08 2.2001824146510062e+08 2.1807476981160200e+08 2.1644693048908001e+08 2.1509140563966766e+08 2.1398073047423169e+08 2.1308027977506638e+08 2.1236242178914297e+08 2.1178703595125350e+08 2.1131378920465821e+08 2.1091558181338537e+08 2.1056493824490631e+08 2.1023218155291912e+08 2.0999609553815541e+08 2.0975751644738349e+08 2.0951399681151792e+08 2.0925890221799111e+08 2.0899573638700372e+08 2.0871667990104082e+08 2.0843242708230937e+08 2.0811571785870105e+08 2.0777677552087587e+08 2.0740936410164621e+08 2.0700861412238759e+08 2.0656860829272074e+08 2.0608268068521887e+08 2.0554099427025881e+08 2.0494601366703516e+08 2.0427332157588744e+08 2.0351912289740476e+08 2.0267247502100560e+08 2.0172160186636564e+08 2.0065435932548350e+08 1.9945856624944589e+08 1.9812050053269130e+08 1.9664330259064162e+08 1.9499925969447458e+08 1.9319481457186648e+08 1.9123414106060567e+08 1.8913261753032532e+08 1.8691640924218789e+08 1.8463531892409253e+08 1.8236322619933483e+08 1.8022273219744128e+08 1.7836473184707958e+08 1.7702898368301636e+08 1.7654821951673579e+08 1.7740679095481342e+08 1.8030875577258983e+08 1.8632107659875679e+08 1.9713262249737003e+08 2.1559145113651118e+08 6.1674186307706222e+07 +7.5425475158385229e+00 4.1185993248276329e+08 4.1182028418973094e+08 4.1175357580893683e+08 4.1166694843621743e+08 4.1158201805866271e+08 4.1153198953939438e+08 4.1153143984360409e+08 4.1155539106138378e+08 4.1157858237594467e+08 4.1159583721481800e+08 4.1160997395331430e+08 4.1162112961142796e+08 4.1162834941025972e+08 4.1163102066959769e+08 4.1162872551596546e+08 4.1162078085286474e+08 4.1160641345157915e+08 4.1158485676781160e+08 4.1155523653399062e+08 4.1151644990050614e+08 4.1146716301212931e+08 4.1140562692335874e+08 4.1132868424707955e+08 4.1123073458120638e+08 4.1110960093145400e+08 4.1096501467975307e+08 4.1079198297905773e+08 4.1058429647882956e+08 4.1033516810393536e+08 4.1003649186660784e+08 4.0967844380428815e+08 4.0924907089306498e+08 4.0873380973762345e+08 4.0811491932361853e+08 4.0737083374286306e+08 4.0647535657989609e+08 4.0539682412415081e+08 4.0409718832185686e+08 4.0253120044086665e+08 4.0064568571467292e+08 3.9819341196746522e+08 3.9521538663807231e+08 3.9161776267241490e+08 3.8730354787442279e+08 3.8218048048298740e+08 3.7617224190480316e+08 3.6923243231742758e+08 3.6135945167167836e+08 3.5260948108141261e+08 3.4310107217638046e+08 3.3301067863710648e+08 3.2256813683058143e+08 3.1203523565938503e+08 3.0165349570431268e+08 2.9163610366281968e+08 2.8215647876637870e+08 2.7332957519819003e+08 2.6522108686839944e+08 2.5784985765285811e+08 2.5121200386708963e+08 2.4527187592723465e+08 2.3999390072578758e+08 2.3532398902461538e+08 2.3122383090623090e+08 2.2764133952099025e+08 2.2452979584236214e+08 2.2185333186770219e+08 2.1956715415606281e+08 2.1762696539337385e+08 2.1600190493635374e+08 2.1464872886669776e+08 2.1354000889937106e+08 2.1264117556433669e+08 2.1192463604264534e+08 2.1135033454716024e+08 2.1087800660606372e+08 2.1048059100754601e+08 2.1013065633276945e+08 2.0979858050288138e+08 2.0956298017343575e+08 2.0932489274462184e+08 2.0908187531691143e+08 2.0882730693891603e+08 2.0856468401426256e+08 2.0828620382153133e+08 2.0800253563179648e+08 2.0768647976357836e+08 2.0734823663566980e+08 2.0698158314212942e+08 2.0658165984783670e+08 2.0614256166629532e+08 2.0565763641853902e+08 2.0511706795544109e+08 2.0452331287548953e+08 2.0385200834328026e+08 2.0309936532874402e+08 2.0225446378985232e+08 2.0130555193462047e+08 2.0024051070185101e+08 1.9904718406617317e+08 1.9771187879431346e+08 1.9623772599884662e+08 1.9459707405965915e+08 1.9279635072113800e+08 1.9083972121330273e+08 1.8874253218773854e+08 1.8653089494018313e+08 1.8425450948065278e+08 1.8198710358061662e+08 1.7985102290995875e+08 1.7799685480673543e+08 1.7666386174482703e+08 1.7618408978707123e+08 1.7704089055509934e+08 1.7993686995129988e+08 1.8593679026221067e+08 1.9672603804747757e+08 2.1514679328455657e+08 6.1489797985947847e+07 +7.5475158386127807e+00 4.1146845198751247e+08 4.1142883799394912e+08 4.1136218536926413e+08 4.1127562730124688e+08 4.1119075555048674e+08 4.1114074077116847e+08 4.1114014721430856e+08 4.1116402076860702e+08 4.1118712338128340e+08 4.1120428036361241e+08 4.1121830434231400e+08 4.1122932919706398e+08 4.1123639740060651e+08 4.1123889257070738e+08 4.1123639228446710e+08 4.1122820832337636e+08 4.1121356123373699e+08 4.1119167684345192e+08 4.1116167187902135e+08 4.1112243302563882e+08 4.1107261421660471e+08 4.1101045228971279e+08 4.1093277202906495e+08 4.1083394285942769e+08 4.1071174492426336e+08 4.1056588489662617e+08 4.1039135336291516e+08 4.1018191124062347e+08 4.0993073255470306e+08 4.0962966681507295e+08 4.0926884044479734e+08 4.0883624582797664e+08 4.0831726040713966e+08 4.0769408027264780e+08 4.0694507433945322e+08 4.0604398111546123e+08 4.0495907537290001e+08 4.0365225603783131e+08 4.0207823646403617e+08 4.0018382775138831e+08 3.9772106052198750e+08 3.9473165603645170e+08 3.9112193416571629e+08 3.8679516795405930e+08 3.8165947012939525e+08 3.7563900424069446e+08 3.6868793939172095e+08 3.6080528642480820e+08 3.5204781072093493e+08 3.4253454303949696e+08 3.3244223750437146e+08 3.2200077507509327e+08 3.1147171997141260e+08 3.0109619411358219e+08 2.9108684367716861e+08 2.8161648344397432e+08 2.7279950305899793e+08 2.6470111179914361e+08 2.5733978784340242e+08 2.5071137138495329e+08 2.4478005871829474e+08 2.3951016976647598e+08 2.3484759330129227e+08 2.3075399426693475e+08 2.2717731899491686e+08 2.2407088889561298e+08 2.2139886515072441e+08 2.1911651634450310e+08 2.1717961085200283e+08 2.1555732938899383e+08 2.1420650198523515e+08 2.1309973693000710e+08 2.1220252052720135e+08 2.1148729894566593e+08 2.1091408120256883e+08 2.1044267141621435e+08 2.1004604694818565e+08 2.0969682051212221e+08 2.0936542487267950e+08 2.0913030973583701e+08 2.0889271346605191e+08 2.0865019773090959e+08 2.0839615502764922e+08 2.0813407445066106e+08 2.0785616995550442e+08 2.0757308580249745e+08 2.0725768261774597e+08 2.0692013798055124e+08 2.0655424163368067e+08 2.0615514417418414e+08 2.0571695270783672e+08 2.0523302878948614e+08 2.0469357712600648e+08 2.0410104631835142e+08 2.0343112791925618e+08 2.0268003896962506e+08 2.0183688197371021e+08 2.0088992940230519e+08 1.9982708721555474e+08 1.9863622448603246e+08 1.9730367681995848e+08 1.9583256605071113e+08 1.9419530158407655e+08 1.9239829620566931e+08 1.9044570654641971e+08 1.8835284757235867e+08 1.8614577666888762e+08 1.8387409123410496e+08 1.8161136734095562e+08 1.7947969547496656e+08 1.7762935568125972e+08 1.7629911489071730e+08 1.7582033411894313e+08 1.7667536603529975e+08 1.7956536615928888e+08 1.8555289869446161e+08 1.9631987126941684e+08 2.1470259222703150e+08 6.1305881935126290e+07 +7.5524841613870386e+00 4.1107586670797336e+08 4.1103628582826632e+08 4.1096969123783588e+08 4.1088320231141299e+08 4.1079838932143229e+08 4.1074838855616981e+08 4.1074775126351839e+08 4.1077154723282677e+08 4.1079456125520080e+08 4.1081162054438704e+08 4.1082553198603821e+08 4.1083642632061952e+08 4.1084334328932214e+08 4.1084566281951523e+08 4.1084295795243281e+08 4.1083453536451143e+08 4.1081960939936626e+08 4.1079739828015584e+08 4.1076700975661105e+08 4.1072732008226806e+08 4.1067697101979285e+08 4.1061418523592901e+08 4.1053576975412941e+08 4.1043606393578619e+08 4.1031280519145036e+08 4.1016567555532718e+08 4.0998964912467653e+08 4.0977845720467383e+08 4.0952523507099235e+08 4.0922178790969884e+08 4.0885819273446441e+08 4.0842238757661003e+08 4.0789969099212992e+08 4.0727223649339271e+08 4.0651832818034196e+08 4.0561163989292830e+08 4.0452038534703916e+08 4.0320641095509970e+08 4.0162439270449281e+08 3.9972112813681716e+08 3.9724791475656939e+08 3.9424718568524611e+08 3.9062542825494635e+08 3.8628618104426181e+08 3.8113793118176347e+08 3.7510532374312764e+08 3.6814309548255825e+08 3.6025086613892817e+08 3.5148598270383072e+08 3.4196795195256031e+08 3.3187382522254074e+08 3.2143352519512367e+08 3.1090838929360896e+08 3.0053913957956028e+08 2.9053788154563272e+08 2.8107682624249166e+08 2.7226980006333268e+08 2.6418152921730500e+08 2.5683012774951041e+08 2.5021116117144179e+08 2.4428867281530607e+08 2.3902687658951709e+08 2.3437163995267260e+08 2.3028460326610342e+08 2.2671374639708921e+08 2.2361243145096567e+08 2.2094484900638151e+08 2.1866632977680877e+08 2.1673270790114003e+08 2.1511320553295887e+08 2.1376472666009942e+08 2.1265991621445939e+08 2.1176431629902250e+08 2.1105041212391955e+08 2.1047827753651661e+08 2.1000778524924046e+08 2.0961195124545285e+08 2.0926343238982815e+08 2.0893271626662013e+08 2.0869808582814509e+08 2.0846098021256790e+08 2.0821896565248924e+08 2.0796544808085364e+08 2.0770390929129618e+08 2.0742657989581400e+08 2.0714407918489429e+08 2.0682932800929248e+08 2.0649248114128372e+08 2.0612734115891764e+08 2.0572906868132883e+08 2.0529178299358734e+08 2.0480885937044647e+08 2.0427052335055956e+08 2.0367921555950382e+08 2.0301068186217436e+08 2.0226114537335142e+08 2.0141973111918032e+08 2.0047473580885187e+08 1.9941409039802989e+08 1.9822568903115043e+08 1.9689589612140968e+08 1.9542782424651372e+08 1.9379394375593618e+08 1.9200065250013942e+08 1.9005209851933041e+08 1.8796356512725157e+08 1.8576105585472634e+08 1.8349406559339711e+08 1.8123601887188742e+08 1.7910875126762876e+08 1.7726223583189276e+08 1.7593474447147533e+08 1.7545695385981271e+08 1.7631021874935073e+08 1.7919424577261573e+08 1.8516940331731150e+08 1.9591412366762200e+08 2.1425884960920730e+08 6.1122437316692777e+07 +7.5574524841612964e+00 4.1068218207912171e+08 4.1064263664916235e+08 4.1057609937496847e+08 4.1048968007912844e+08 4.1040492611981010e+08 4.1035493969787973e+08 4.1035425879335475e+08 4.1037797725818700e+08 4.1040090280281878e+08 4.1041786456243116e+08 4.1043166369058138e+08 4.1044242778931290e+08 4.1044919388434571e+08 4.1045133822348213e+08 4.1044842932767522e+08 4.1043976878559864e+08 4.1042456475803971e+08 4.1040202788829148e+08 4.1037125697806442e+08 4.1033111788244534e+08 4.1028024023437643e+08 4.1021683257734692e+08 4.1013768423793846e+08 4.1003710462764937e+08 4.0991278855091000e+08 4.0976439347545034e+08 4.0958687708585995e+08 4.0937394119433677e+08 4.0911868247909987e+08 4.0881286197854650e+08 4.0844650750390637e+08 4.0800750297163427e+08 4.0748110832739371e+08 4.0684939482170403e+08 4.0609060210065132e+08 4.0517833974671412e+08 4.0408076087682867e+08 4.0275965989592522e+08 4.0116967597181988e+08 3.9925759366008824e+08 3.9677398142774814e+08 3.9376198229284757e+08 3.9012825157984346e+08 3.8577659369017845e+08 3.8061587005955857e+08 3.7457120666896868e+08 3.6759790664300030e+08 3.5969619662093186e+08 3.5092400254892087e+08 3.4140130411198241e+08 3.3130544664034003e+08 3.2086639167896134e+08 3.1034524775589567e+08 2.9998233588938934e+08 2.8998922073769015e+08 2.8053751034413373e+08 2.7174046914218622e+08 2.6366234183647385e+08 2.5632087989859021e+08 2.4971137559577224e+08 2.4379772045444128e+08 2.3854402331806061e+08 2.3389613100641873e+08 2.2981565985083228e+08 2.2625062360644957e+08 2.2315442532997125e+08 2.2049128520811477e+08 2.1821659618666762e+08 2.1628625824133950e+08 2.1466953504260239e+08 2.1332340454410452e+08 2.1222054838844576e+08 2.1132656450295600e+08 2.1061397719131544e+08 2.1004292515584746e+08 2.0957334970691007e+08 2.0917830549772146e+08 2.0883049356130332e+08 2.0850045627713925e+08 2.0826631004092345e+08 2.0802969457281902e+08 2.0778818066841331e+08 2.0753518768376711e+08 2.0727419011931798e+08 2.0699743522365355e+08 2.0671551735783368e+08 2.0640141751467335e+08 2.0606526769189394e+08 2.0570088328888109e+08 2.0530343493730968e+08 2.0486705408841574e+08 2.0438512972271135e+08 2.0384790818607602e+08 2.0325782215177140e+08 2.0259067171987087e+08 2.0184268608131221e+08 2.0100301276143649e+08 2.0005997268254152e+08 1.9900152176925471e+08 1.9781557921227634e+08 1.9648853819949594e+08 1.9502350207594168e+08 1.9339300205237210e+08 1.9160342106767064e+08 1.8965889858070266e+08 1.8757468628527841e+08 1.8537673391347831e+08 1.8311443395730305e+08 1.8086105955501100e+08 1.7873819165310770e+08 1.7689549660962123e+08 1.7557075182829830e+08 1.7509395034688720e+08 1.7594545004096037e+08 1.7882351015708444e+08 1.8478630554208609e+08 1.9550879673535800e+08 2.1381556706419742e+08 6.0939463291696794e+07 +7.5624208069355543e+00 4.1028740876896626e+08 4.1024789758165705e+08 4.1018141621275294e+08 4.1009506734853160e+08 4.1001037273214841e+08 4.0996040098795140e+08 4.0995967659305966e+08 4.0998331763588464e+08 4.1000615481537056e+08 4.1002301921085042e+08 4.1003670624900734e+08 4.1004734039640868e+08 4.1005395597929889e+08 4.1005592557776487e+08 4.1005281320630074e+08 4.1004391538296741e+08 4.1002843410706031e+08 4.1000557246532309e+08 4.0997442034127223e+08 4.0993383322509634e+08 4.0988242866022861e+08 4.0981840111428750e+08 4.0973852228250307e+08 4.0963707173755497e+08 4.0951170180720705e+08 4.0936204546357280e+08 4.0918304405416924e+08 4.0896837002004772e+08 4.0871108159084833e+08 4.0840289583613092e+08 4.0803379156930810e+08 4.0759159883164144e+08 4.0706151923325843e+08 4.0642556207854164e+08 4.0566190292233616e+08 4.0474408749676239e+08 4.0364020877792859e+08 4.0231200966795880e+08 4.0071409305959427e+08 3.9879323109367448e+08 3.9629926727459908e+08 3.9327605254883200e+08 3.8963041076121014e+08 3.8526641241740960e+08 3.8009329316272050e+08 3.7403665925440747e+08 3.6705237890546501e+08 3.5914128365618312e+08 3.5036187575396383e+08 3.4083460469253784e+08 3.3073710658471888e+08 3.2029937899375129e+08 3.0978229946806169e+08 2.9942578680985534e+08 2.8944086470301467e+08 2.7999853891369724e+08 2.7121151320896828e+08 2.6314355235291362e+08 2.5581204680204052e+08 2.4921201701208764e+08 2.4330720385656831e+08 2.3806161206090495e+08 2.3342106847657079e+08 2.2934716595420352e+08 2.2578795248863816e+08 2.2269687234165645e+08 2.2003817551700824e+08 2.1776731729511425e+08 2.1584026356096831e+08 2.1422631957952499e+08 2.1288253727772701e+08 2.1178163507609829e+08 2.1088926675012583e+08 2.1017799574964803e+08 2.0960802565564671e+08 2.0913936637942904e+08 2.0874511129118571e+08 2.0839800560976684e+08 2.0806864648527795e+08 2.0783498395308861e+08 2.0759885812424549e+08 2.0735784435431787e+08 2.0710537540971145e+08 2.0684491850608408e+08 2.0656873750826964e+08 2.0628740188868970e+08 2.0597395269881597e+08 2.0563849919437900e+08 2.0527486958325565e+08 2.0487824449858630e+08 2.0444276754534650e+08 2.0396184139569798e+08 2.0342573317804623e+08 2.0283686763588828e+08 2.0217109902808514e+08 2.0142466262389159e+08 2.0058672842447400e+08 1.9964564153969321e+08 1.9858938283794862e+08 1.9740589652950090e+08 1.9608160454392400e+08 1.9461960101766169e+08 1.9299247793948811e+08 1.9120660336092216e+08 1.8926610816817516e+08 1.8718621246842262e+08 1.8499281225072125e+08 1.8273519771379712e+08 1.8048649076141039e+08 1.7836801798643985e+08 1.7652913935558945e+08 1.7520713829202649e+08 1.7473132490768167e+08 1.7558106124415866e+08 1.7845316066829625e+08 1.8440360676968542e+08 1.9510389195490357e+08 2.1337274621281302e+08 6.0756959020798638e+07 +7.5673891297098121e+00 4.0989155023733801e+08 4.0985207363000220e+08 4.0978564973818058e+08 4.0969937101029545e+08 4.0961473597838312e+08 4.0956477920688492e+08 4.0956401143920934e+08 4.0958757514509618e+08 4.0961032407224351e+08 4.0962709126912612e+08 4.0964066644172937e+08 4.0965117092335159e+08 4.0965763635653067e+08 4.0965943166407031e+08 4.0965611637074471e+08 4.0964698193942153e+08 4.0963122422981912e+08 4.0960803879612148e+08 4.0957650663210320e+08 4.0953547289707291e+08 4.0948354308437240e+08 4.0941889763441682e+08 4.0933829067690516e+08 4.0923597205605072e+08 4.0910955175180256e+08 4.0895863831282932e+08 4.0877815682523549e+08 4.0856175047816694e+08 4.0830243920539677e+08 4.0799189628317744e+08 4.0762005173380727e+08 4.0717468196148950e+08 4.0664093051566106e+08 4.0600074507165760e+08 4.0523223745161897e+08 4.0430888994699293e+08 4.0319873584915560e+08 4.0186346706165618e+08 4.0025765074472666e+08 3.9832804719376653e+08 3.9582377901834399e+08 3.9278940312547964e+08 3.8913191240092528e+08 3.8475564373264337e+08 3.7957020687085664e+08 3.7350168771579087e+08 3.6650651828039700e+08 3.5858613300776416e+08 3.4979960779407609e+08 3.4026785884656489e+08 3.3016880986035728e+08 3.1973249158572441e+08 3.0921954851867694e+08 2.9886949608790338e+08 2.8889281687194395e+08 2.7945991509711403e+08 2.7068293515988266e+08 2.6262516344679058e+08 2.5530363095501536e+08 2.4871308775933105e+08 2.4281712522810501e+08 2.3757964491234538e+08 2.3294645436253181e+08 2.2887912349663216e+08 2.2532573489634424e+08 2.2223977428150234e+08 2.1958552168124682e+08 2.1731849481114593e+08 2.1539472553616503e+08 2.1378356079339615e+08 2.1244212648931170e+08 2.1134317788920885e+08 2.1045242464011398e+08 2.0974246938890460e+08 2.0917358061910024e+08 2.0870583684492522e+08 2.0831237020033795e+08 2.0796597010690194e+08 2.0763728845973274e+08 2.0740410913188019e+08 2.0716847243196863e+08 2.0692795827360538e+08 2.0667601282040203e+08 2.0641609601121831e+08 2.0614048830732349e+08 2.0585973433251774e+08 2.0554693511462077e+08 2.0521217719943118e+08 2.0484930158976215e+08 2.0445349890991923e+08 2.0401892490604255e+08 2.0353899592731309e+08 2.0300399986038512e+08 2.0241635354131910e+08 2.0175196531109110e+08 2.0100707651989442e+08 2.0017087962054986e+08 1.9923174388584337e+08 1.9817767510129043e+08 1.9699664247096425e+08 1.9567509663315728e+08 1.9421612253880200e+08 1.9259237287247688e+08 1.9081020082161519e+08 1.8887372870913139e+08 1.8679814508800662e+08 1.8460929226124668e+08 1.8235635824112386e+08 1.8011231385202494e+08 1.7799823161264497e+08 1.7616316540090913e+08 1.7484390518393385e+08 1.7436907885974312e+08 1.7521705368285361e+08 1.7808319865197244e+08 1.8402130839071274e+08 1.9469941079732364e+08 2.1293038866414902e+08 6.0574923664282300e+07 +7.5723574524840700e+00 4.0949461273098749e+08 4.0945517186741382e+08 4.0938880586464864e+08 4.0930259795469600e+08 4.0921802267572248e+08 4.0916808112196791e+08 4.0916727009602112e+08 4.0919075655200255e+08 4.0921341733900577e+08 4.0923008750451398e+08 4.0924355103634977e+08 4.0925392613777697e+08 4.0926024178414226e+08 4.0926186325263214e+08 4.0925834559088981e+08 4.0924897522598559e+08 4.0923294189802861e+08 4.0920943365216494e+08 4.0917752262267101e+08 4.0913604367075646e+08 4.0908359028126335e+08 4.0901832891326410e+08 4.0893699619676465e+08 4.0883381236003983e+08 4.0870634516341788e+08 4.0855417880272555e+08 4.0837222217969102e+08 4.0815408935219258e+08 4.0789276210793847e+08 4.0757987010701644e+08 4.0720529478641379e+08 4.0675675915195495e+08 4.0621934896676123e+08 4.0557495059298027e+08 4.0480161248051274e+08 4.0387275388727516e+08 4.0275634887552023e+08 4.0141403885260117e+08 3.9980035578811944e+08 3.9786204869892091e+08 3.9534752336360157e+08 3.9230204067683667e+08 3.8863276308235687e+08 3.8424429412287360e+08 3.7904661754274482e+08 3.7296629824711972e+08 3.6596033075772643e+08 3.5803075041817302e+08 3.4923720412283045e+08 3.3970107170463467e+08 3.2960056125090587e+08 3.1916573387867641e+08 3.0865699897587883e+08 2.9831346745052892e+08 2.8834508065632939e+08 2.7892164202230620e+08 2.7015473787330830e+08 2.6210717778141642e+08 2.5479563483731717e+08 2.4821459016089508e+08 2.4232748676084927e+08 2.3709812395246652e+08 2.3247229065069199e+08 2.2841153438443220e+08 2.2486397266898012e+08 2.2178313293258414e+08 2.1913332543640330e+08 2.1687013043077901e+08 2.1494964583084163e+08 2.1334126032175717e+08 2.1200217379542583e+08 2.1090517842778766e+08 2.1001603975991711e+08 2.0930739968708733e+08 2.0873959161730894e+08 2.0827276266988230e+08 2.0788008378797489e+08 2.0753438861243987e+08 2.0720638375784740e+08 2.0697368713273251e+08 2.0673853904970533e+08 2.0649852397808838e+08 2.0624710146573797e+08 2.0598772418283051e+08 2.0571268916655502e+08 2.0543251623356089e+08 2.0512036630360615e+08 2.0478630324598420e+08 2.0442418084463009e+08 2.0402919970465019e+08 2.0359552770051897e+08 2.0311659484424895e+08 2.0258270975547820e+08 2.0199628138590154e+08 2.0133327208198845e+08 2.0058992927655041e+08 1.9975546785116261e+08 1.9881828121516168e+08 1.9776640004579917e+08 1.9658781851425388e+08 1.9526901593477502e+08 1.9381306809634149e+08 1.9219268829574800e+08 1.9041421488091975e+08 1.8848176161974367e+08 1.8641048554516640e+08 1.8422617532953936e+08 1.8197791690660802e+08 1.7973853017763960e+08 1.7762883386670524e+08 1.7579757606671181e+08 1.7448105381512490e+08 1.7400721351077428e+08 1.7485342867105892e+08 1.7771362544366235e+08 1.8363941178522673e+08 1.9429535472279853e+08 2.1248849601497951e+08 6.0393356382068291e+07 +7.5773257752583278e+00 4.0909660535956979e+08 4.0905719854257911e+08 4.0899089118419236e+08 4.0890475498070782e+08 4.0882023960560381e+08 4.0877031348814899e+08 4.0876945931630617e+08 4.0879286860969430e+08 4.0881544136940628e+08 4.0883201467054039e+08 4.0884536678753895e+08 4.0885561279494202e+08 4.0886177901827753e+08 4.0886322709923875e+08 4.0885950762376529e+08 4.0884990199972373e+08 4.0883359386953586e+08 4.0880976379237217e+08 4.0877747507226133e+08 4.0873555230674732e+08 4.0868257701137066e+08 4.0861670171252686e+08 4.0853464560534793e+08 4.0843059941362131e+08 4.0830208880672193e+08 4.0814867370015264e+08 4.0796524688662285e+08 4.0774539341232890e+08 4.0748205706981444e+08 4.0716682408076662e+08 4.0678952750248897e+08 4.0633783717919415e+08 4.0579678136434925e+08 4.0514818542057604e+08 4.0437003478621888e+08 4.0343568609167969e+08 4.0231305462582695e+08 4.0096373180024672e+08 3.9934221493435401e+08 3.9739524233132470e+08 3.9487050699684131e+08 3.9181397183811140e+08 3.8813296937052292e+08 3.8373237005543244e+08 3.7852253151782781e+08 3.7243049702250683e+08 3.6541382230547309e+08 3.5747514160674500e+08 3.4867467017153919e+08 3.3913424837533408e+08 3.2903236551765150e+08 3.1859911027541667e+08 3.0809465488671827e+08 2.9775770460487753e+08 2.8779765944854307e+08 2.7838372279876339e+08 2.6962692421081144e+08 2.6158959800336793e+08 2.5428806091208866e+08 2.4771652652502897e+08 2.4183829063140389e+08 2.3661705124747285e+08 2.3199857931328258e+08 2.2794440051085413e+08 2.2440266763294247e+08 2.2132695006487617e+08 2.1868158850548339e+08 2.1642222583777809e+08 2.1450502609630734e+08 2.1289941978986782e+08 2.1156268080009380e+08 2.1046763827976087e+08 2.0958011368540293e+08 2.0887278821074229e+08 2.0830606021019205e+08 2.0784014540897501e+08 2.0744825360520425e+08 2.0710326267443627e+08 2.0677593392528835e+08 2.0654371949936488e+08 2.0630905951956117e+08 2.0606954300808775e+08 2.0581864288408726e+08 2.0555980455735400e+08 2.0528534162066776e+08 2.0500574912373170e+08 2.0469424779590937e+08 2.0436087886145622e+08 2.0399950887276906e+08 2.0360534840453550e+08 2.0317257744738635e+08 2.0269463966118842e+08 2.0216186437426966e+08 2.0157665267651343e+08 2.0091502084254244e+08 2.0017322239021698e+08 1.9934049460605061e+08 1.9840525501059616e+08 1.9735555914627740e+08 1.9617942612548390e+08 1.9486336390510240e+08 1.9341043913538358e+08 1.9179342564273056e+08 1.9001864695865285e+08 1.8809020830609533e+08 1.8602323522995228e+08 1.8384346282974830e+08 1.8159987506756708e+08 1.7936514107891393e+08 1.7725982607321092e+08 1.7543237266417548e+08 1.7411858548713893e+08 1.7364573015853781e+08 1.7449018751307026e+08 1.7734444236891556e+08 1.8325791832268181e+08 1.9389172518071845e+08 2.1204706985004342e+08 6.0212256333726026e+07 +7.5822940980325857e+00 4.0869753529314846e+08 4.0865816225279212e+08 4.0859191398505551e+08 4.0850584876660389e+08 4.0842139350724965e+08 4.0837148304583800e+08 4.0837058583802414e+08 4.0839391805822241e+08 4.0841640290313852e+08 4.0843287950893891e+08 4.0844612043707639e+08 4.0845623763704270e+08 4.0846225480128813e+08 4.0846352994699538e+08 4.0845960921313059e+08 4.0844976900517201e+08 4.0843318688897240e+08 4.0840903596224362e+08 4.0837637072716874e+08 4.0833400555179089e+08 4.0828051002269232e+08 4.0821402278073454e+08 4.0813124565210700e+08 4.0802633996725637e+08 4.0789678943385774e+08 4.0774212975788152e+08 4.0755723769981152e+08 4.0733566941402644e+08 4.0707033084880716e+08 4.0675276496393293e+08 4.0637275664273262e+08 4.0591792280624288e+08 4.0537323447180724e+08 4.0472045631815213e+08 4.0393751113074195e+08 4.0299769331921172e+08 4.0186885985329777e+08 4.0051255264794797e+08 3.9888323491172957e+08 3.9692763479670727e+08 3.9439273658757448e+08 3.9132520322792774e+08 3.8763253781051993e+08 3.8321987797913420e+08 3.7799795511500388e+08 3.7189429019554025e+08 3.6486699886986393e+08 3.5691931227153260e+08 3.4811201134971672e+08 3.3856739394523448e+08 3.2846422740008122e+08 3.1803262515820664e+08 3.0753252027770346e+08 2.9720221123823822e+08 2.8725055662173855e+08 2.7784616051828486e+08 2.6909949701581836e+08 2.6107242674305144e+08 2.5378091162756443e+08 2.4721889914479983e+08 2.4134953900214297e+08 2.3613642884915039e+08 2.3152532230869579e+08 2.2747772375583628e+08 2.2394182160139313e+08 2.2087122743609720e+08 2.1823031259905759e+08 2.1597478270395729e+08 2.1406086797209805e+08 2.1245804081059647e+08 2.1112364909600529e+08 2.1003055902105489e+08 2.0914464797988871e+08 2.0843863651401243e+08 2.0787298794525799e+08 2.0740798660515597e+08 2.0701688119134662e+08 2.0667259382949191e+08 2.0634594049555182e+08 2.0611420776395166e+08 2.0588003537178367e+08 2.0564101689220104e+08 2.0539063860227567e+08 2.0513233865957305e+08 2.0485844719228050e+08 2.0457943452407104e+08 2.0426858110966766e+08 2.0393590556180152e+08 2.0357528718708381e+08 2.0318194652003580e+08 2.0275007565368509e+08 2.0227313188178101e+08 2.0174146521655583e+08 2.0115746890824318e+08 2.0049721308324173e+08 1.9975695734579518e+08 1.9892596136359549e+08 1.9799266674396276e+08 1.9694515386703026e+08 1.9577146676002273e+08 1.9445814198971197e+08 1.9300823709087148e+08 1.9139458633611301e+08 1.8962349846482143e+08 1.8769907016321179e+08 1.8563639552268556e+08 1.8346115612561437e+08 1.8122223407127443e+08 1.7899214788630503e+08 1.7689120954718462e+08 1.7506755649460718e+08 1.7375650149151507e+08 1.7328463009115607e+08 1.7412733150313282e+08 1.7697565074299982e+08 1.8287682936282492e+08 1.9348852360908732e+08 2.1160611174226588e+08 6.0031622678486437e+07 +7.5872624208068435e+00 4.0829740616238868e+08 4.0825806999684292e+08 4.0819187967752671e+08 4.0810588599338967e+08 4.0802149109808874e+08 4.0797159652257979e+08 4.0797065638829005e+08 4.0799391162492609e+08 4.0801630866796255e+08 4.0803268874746644e+08 4.0804581871335757e+08 4.0805580739343464e+08 4.0806167586294919e+08 4.0806277852617776e+08 4.0805865708955973e+08 4.0804858297384101e+08 4.0803172768858510e+08 4.0800725689436978e+08 4.0797421632107216e+08 4.0793141013985914e+08 4.0787739604976362e+08 4.0781029885330397e+08 4.0772680307308835e+08 4.0762104075843751e+08 4.0749045378302306e+08 4.0733455371581417e+08 4.0714820136070842e+08 4.0692492410058653e+08 4.0665759018938082e+08 4.0633769950267875e+08 4.0595498895456213e+08 4.0549702278120971e+08 4.0494871503776407e+08 4.0429177003428406e+08 4.0350404826173317e+08 4.0255878231425554e+08 4.0142377129557329e+08 4.0006050812347555e+08 3.9842342243214953e+08 3.9645923278303707e+08 3.9391421878838456e+08 3.9083574144576621e+08 3.8713147493022245e+08 3.8270682432194448e+08 3.7747289463285232e+08 3.7135768389812589e+08 3.6431986637668550e+08 3.5636326808922237e+08 3.4754923304474908e+08 3.3800051347919554e+08 3.2789615161641550e+08 3.1746628288773400e+08 3.0697059915539217e+08 2.9664699101768345e+08 2.8670377553042024e+08 2.7730895825389200e+08 2.6857245911534846e+08 2.6055566661393374e+08 2.5327418941520271e+08 2.4672171029821798e+08 2.4086123402097490e+08 2.3565625879521653e+08 2.3105252158197719e+08 2.2701150598539987e+08 2.2348143637488294e+08 2.2041596679021934e+08 2.1777949941475111e+08 2.1552780268791151e+08 2.1361717308516085e+08 2.1201712498540822e+08 2.1068508026338241e+08 2.0959394221610203e+08 2.0870964419553936e+08 2.0800494613986257e+08 2.0744037635855788e+08 2.0697628778966570e+08 2.0658596807407227e+08 2.0624238360217214e+08 2.0591640499123031e+08 2.0568515344694701e+08 2.0545146812527043e+08 2.0521294714728513e+08 2.0496309013529468e+08 2.0470532800262409e+08 2.0443200739254740e+08 2.0415357394339493e+08 2.0384336775191158e+08 2.0351138485148188e+08 2.0315151728960854e+08 2.0275899554981750e+08 2.0232802381500340e+08 2.0185207299822614e+08 2.0132151377056462e+08 2.0073873156507212e+08 2.0007985028267941e+08 1.9934113561662182e+08 1.9851186959176224e+08 1.9758051787543273e+08 1.9653518566051823e+08 1.9536394186203739e+08 1.9405335162311584e+08 1.9260646338648313e+08 1.9099617178781280e+08 1.8922877079793257e+08 1.8730834857589450e+08 1.8524996779236305e+08 1.8307925657025436e+08 1.8084499525431263e+08 1.7861955192027667e+08 1.7652298559357429e+08 1.7470312884942400e+08 1.7339480310998142e+08 1.7292391458697861e+08 1.7376486192572132e+08 1.7660725187176520e+08 1.8249614625447559e+08 1.9308575143530971e+08 2.1116562325285530e+08 5.9851454575254671e+07 +7.5922307435811014e+00 4.0789622741354001e+08 4.0785692711315376e+08 4.0779079507553488e+08 4.0770487331105900e+08 4.0762053909791929e+08 4.0757066063048577e+08 4.0756967767984676e+08 4.0759285602414894e+08 4.0761516537727410e+08 4.0763144910132426e+08 4.0764446833197433e+08 4.0765432877957904e+08 4.0766004892036802e+08 4.0766097955418694e+08 4.0765665797077268e+08 4.0764635062374473e+08 4.0762922298719990e+08 4.0760443330788845e+08 4.0757101857340741e+08 4.0752777279177660e+08 4.0747324181383842e+08 4.0740553665268469e+08 4.0732132459192306e+08 4.0721470851077366e+08 4.0708308857932812e+08 4.0692595230043906e+08 4.0673814459679711e+08 4.0651316420051825e+08 4.0624384182200003e+08 4.0592163442849624e+08 4.0553623117091215e+08 4.0507514383849901e+08 4.0452322979717678e+08 4.0386213330352283e+08 4.0306965291150469e+08 4.0211895980534220e+08 4.0097779567504311e+08 3.9960760493847442e+08 3.9796278419052052e+08 3.9599004296188903e+08 3.9343496023244894e+08 3.9034559307296538e+08 3.8662978723718983e+08 3.8219321549342281e+08 3.7694735635056818e+08 3.7082068424212170e+08 3.6377243073028827e+08 3.5580701471443027e+08 3.4698634062208170e+08 3.3743361201960206e+08 3.2732814286307102e+08 3.1690008780288386e+08 3.0640889550478935e+08 2.9609204759129596e+08 2.8615731951028275e+08 2.7677211906091851e+08 2.6804581331865150e+08 2.6003932021340021e+08 2.5276789669173995e+08 2.4622496224776876e+08 2.4037337782103562e+08 2.3517654310946864e+08 2.3058017906423289e+08 2.2654574905295289e+08 2.2302151374030027e+08 2.1996116985966429e+08 2.1732915063831401e+08 2.1508128743679354e+08 2.1317394305050433e+08 2.1157667390346506e+08 2.1024697587093133e+08 2.0915778941698992e+08 2.0827510387226027e+08 2.0757171861921486e+08 2.0700822697496042e+08 2.0654505048220342e+08 2.0615551576916862e+08 2.0581263350581643e+08 2.0548732892289835e+08 2.0525655805735824e+08 2.0502335928707421e+08 2.0478533527890810e+08 2.0453599898682749e+08 2.0427877408827960e+08 2.0400602372144985e+08 2.0372816887945208e+08 2.0341860921781108e+08 2.0308731822332132e+08 2.0272820067067602e+08 2.0233649698153523e+08 2.0190642341569775e+08 2.0143146449139038e+08 2.0090201151333159e+08 2.0032044211957553e+08 1.9966293390899009e+08 1.9892575866519779e+08 1.9809822074655470e+08 1.9716880985490912e+08 1.9612565596891123e+08 1.9495685286472046e+08 1.9364899422903186e+08 1.9220511943533927e+08 1.9059818339892706e+08 1.8883446534633684e+08 1.8691804491817245e+08 1.8486395339829978e+08 1.8269776550707546e+08 1.8046815994370398e+08 1.7824735449133426e+08 1.7615515550721395e+08 1.7433909101039523e+08 1.7303349161456341e+08 1.7256358491459358e+08 1.7340278005581298e+08 1.7623924705065444e+08 1.8211587033653945e+08 1.9268341007611999e+08 2.1072560593049225e+08 5.9671751182622187e+07 +7.5971990663553592e+00 4.0749400434856969e+08 4.0745473992412817e+08 4.0738866671721727e+08 4.0730281734916818e+08 4.0721854423785168e+08 4.0716868206949347e+08 4.0716765641357255e+08 4.0719075795705265e+08 4.0721297973273540e+08 4.0722916727231872e+08 4.0724207599567008e+08 4.0725180849920279e+08 4.0725738067635423e+08 4.0725813973487628e+08 4.0725361856144547e+08 4.0724307865990019e+08 4.0722567949018842e+08 4.0720057190908754e+08 4.0716678419100982e+08 4.0712310021458143e+08 4.0706805402313322e+08 4.0699974288734430e+08 4.0691481691779792e+08 4.0680734993519402e+08 4.0667470053429723e+08 4.0651633222378880e+08 4.0632707412217647e+08 4.0610039642938799e+08 4.0582909246289438e+08 4.0550457645942914e+08 4.0511649001119906e+08 4.0465229269703490e+08 4.0409678547030115e+08 4.0343155284486455e+08 4.0263433179756415e+08 4.0167823250636178e+08 4.0053093969811553e+08 3.9915384978838438e+08 3.9750132686637497e+08 3.9552007198864245e+08 3.9295496753754359e+08 3.8985476467323369e+08 3.8612748122149324e+08 3.8167905788282311e+08 3.7642134652632129e+08 3.7028329731840712e+08 3.6322469781303853e+08 3.5525055778020561e+08 3.4642333942535806e+08 3.3686669458772540e+08 3.2676020581467026e+08 3.1633404422168666e+08 3.0584741329110664e+08 2.9553738458636254e+08 2.8561119187760872e+08 2.7623564597657454e+08 2.6751956241797084e+08 2.5952339012223053e+08 2.5226203585715804e+08 2.4572865724151841e+08 2.3988597252067986e+08 2.3469728380120578e+08 2.3010829667328352e+08 2.2608045479841658e+08 2.2256205547230852e+08 2.1950683836334461e+08 2.1687926794238767e+08 2.1463523858493164e+08 2.1273117947096810e+08 2.1113668914153749e+08 2.0980933747482836e+08 2.0872210216450208e+08 2.0784102853834110e+08 2.0713895547129813e+08 2.0657654130665523e+08 2.0611427619065005e+08 2.0572552578153303e+08 2.0538334504200462e+08 2.0505871378943858e+08 2.0482842309238622e+08 2.0459571035288405e+08 2.0435818278072736e+08 2.0410936664912704e+08 2.0385267840701854e+08 2.0358049766706932e+08 2.0330322081854671e+08 2.0299430699161434e+08 2.0266370715882048e+08 2.0230533880898896e+08 2.0191445229112327e+08 2.0148527592893910e+08 2.0101130783061051e+08 2.0048295991010380e+08 1.9990260203317329e+08 1.9924646541853321e+08 1.9851082794276497e+08 1.9768501627314413e+08 1.9675754412067005e+08 1.9571656622263587e+08 1.9455020119037744e+08 1.9324507121992475e+08 1.9180420663948783e+08 1.9020062256002492e+08 1.8844058348740286e+08 1.8652816055355063e+08 1.8447835368895933e+08 1.8231668426870611e+08 1.8009172945577902e+08 1.7787555689955729e+08 1.7578772057328925e+08 1.7397544424912238e+08 1.7267256826746485e+08 1.7220364233283356e+08 1.7304108715822896e+08 1.7587163756535879e+08 1.8173600293763945e+08 1.9228150093688709e+08 2.1028606131262735e+08 5.9492511658879228e+07 +7.6021673891296171e+00 4.0709074569827652e+08 4.0705151554928833e+08 4.0698550181834173e+08 4.0689972477461076e+08 4.0681551324862820e+08 4.0676566752626926e+08 4.0676459927680063e+08 4.0678762411115432e+08 4.0680975842259467e+08 4.0682584994935739e+08 4.0683864839343268e+08 4.0684825324106330e+08 4.0685367782150620e+08 4.0685426575906408e+08 4.0684954555245751e+08 4.0683877377412003e+08 4.0682110389018220e+08 4.0679567939096552e+08 4.0676151986735177e+08 4.0671739910254627e+08 4.0666183937283146e+08 4.0659292425312752e+08 4.0650728674727958e+08 4.0639897172855985e+08 4.0626529634615368e+08 4.0610570018560457e+08 4.0591499663726425e+08 4.0568662748874891e+08 4.0541334881552225e+08 4.0508653229947448e+08 4.0469577217979079e+08 4.0422847606361282e+08 4.0366938876221400e+08 4.0300003536353427e+08 4.0219809162268376e+08 4.0123660711522365e+08 4.0008321005624878e+08 3.9869924935280442e+08 3.9703905712201077e+08 3.9504932650014669e+08 3.9247424730291939e+08 3.8936326279154658e+08 3.8562456335312021e+08 3.8116435786076909e+08 3.7589487139847237e+08 3.6974552919672781e+08 3.6267667348632413e+08 3.5469390289785433e+08 3.4586023477670753e+08 3.3629976618202698e+08 3.2619234512463230e+08 3.1576815644153214e+08 3.0528615645904636e+08 2.9498300561153096e+08 2.8506539593046594e+08 2.7569954202029485e+08 2.6699370918829903e+08 2.5900787890473762e+08 2.5175660929680789e+08 2.4523279751216745e+08 2.3939902022442272e+08 2.3421848286668193e+08 2.2963687631300753e+08 2.2561562504840690e+08 2.2210306333217472e+08 2.1905297400777957e+08 2.1642985298768806e+08 2.1418965775469121e+08 2.1228888393748242e+08 2.1069717226509914e+08 2.0937216662022787e+08 2.0828688198725647e+08 2.0740741971059895e+08 2.0670665820399642e+08 2.0614532085498080e+08 2.0568396641147843e+08 2.0529599960376057e+08 2.0495451970076963e+08 2.0463056107866463e+08 2.0440075003817782e+08 2.0416852280710864e+08 2.0393149113578346e+08 2.0368319460269892e+08 2.0342704243730685e+08 2.0315543070630431e+08 2.0287873123542270e+08 2.0257046254562128e+08 2.0224055312842849e+08 2.0188293317228615e+08 2.0149286294327846e+08 2.0106458281605107e+08 2.0059160447417188e+08 2.0006436041562301e+08 1.9948521275590226e+08 1.9883044625685531e+08 1.9809634488925338e+08 1.9727225760571286e+08 1.9634672209993672e+08 1.9530791784161118e+08 1.9414398825019896e+08 1.9284158399790990e+08 1.9140372639026126e+08 1.8980349065057728e+08 1.8804712658836621e+08 1.8613869683518389e+08 1.8409317000243357e+08 1.8193601417779088e+08 1.7971570509700733e+08 1.7750416043552625e+08 1.7542068206694499e+08 1.7361218982776409e+08 1.7231203432137421e+08 1.7184408809103319e+08 1.7267978448822013e+08 1.7550442469187358e+08 1.8135654537589139e+08 1.9188002541289568e+08 2.0984699092489937e+08 5.9313735162027217e+07 +7.6071357119038749e+00 4.0668645738089120e+08 4.0664726338475412e+08 4.0658130708199799e+08 4.0649560225735539e+08 4.0641145283913696e+08 4.0636162367462188e+08 4.0636051294433433e+08 4.0638346116112787e+08 4.0640550812118566e+08 4.0642150380837172e+08 4.0643419220131212e+08 4.0644366968316358e+08 4.0644894703326070e+08 4.0644936430431479e+08 4.0644444562289673e+08 4.0643344264519399e+08 4.0641550286591035e+08 4.0638976243306714e+08 4.0635523228289443e+08 4.0631067613660473e+08 4.0625460454359591e+08 4.0618508743226838e+08 4.0609874076325256e+08 4.0598958057482857e+08 4.0585488269889659e+08 4.0569406287146485e+08 4.0550191882861769e+08 4.0527186406660277e+08 4.0499661756818825e+08 4.0466750863834053e+08 4.0427408436831015e+08 4.0380370062874597e+08 4.0324104636453658e+08 4.0256758754921484e+08 4.0176093907409060e+08 4.0079409031493556e+08 3.9963461342428422e+08 3.9824381029551190e+08 3.9657598160366243e+08 3.9457781311722887e+08 3.9199280611074555e+08 3.8887109395528340e+08 3.8512104008433682e+08 3.8064912177751994e+08 3.7536793718499577e+08 3.6920738592656863e+08 3.6212836359078038e+08 3.5413705565721500e+08 3.4529703197580296e+08 3.3573283177986282e+08 3.2562456542416561e+08 3.1520242873852462e+08 3.0472512893228531e+08 2.9442891425505173e+08 2.8451993494748574e+08 2.7516381019339782e+08 2.6646825638764277e+08 2.5849278910918456e+08 2.5125161937961441e+08 2.4473738527734572e+08 2.3891252302173001e+08 2.3374014228708196e+08 2.2916591987396300e+08 2.2515126161663660e+08 2.2164453906859532e+08 2.1859957848699364e+08 2.1598090742217165e+08 2.1374454655599523e+08 2.1184705802851707e+08 2.1025812482733920e+08 2.0893546483986270e+08 2.0785213040237075e+08 2.0697427889380494e+08 2.0627482831319004e+08 2.0571456710957476e+08 2.0525412262949175e+08 2.0486693871727893e+08 2.0452615896076372e+08 2.0420287226661882e+08 2.0397354036901388e+08 2.0374179812213570e+08 2.0350526181466639e+08 2.0325748431673795e+08 2.0300186764684871e+08 2.0273082430449423e+08 2.0245470159347329e+08 2.0214707734111169e+08 2.0181785759071830e+08 2.0146098521675840e+08 2.0107173039150003e+08 2.0064434552747673e+08 2.0017235586901599e+08 1.9964621447288090e+08 1.9906827572685531e+08 1.9841487785806817e+08 1.9768231093359867e+08 1.9685994616696623e+08 1.9593634520899057e+08 1.9489971223480934e+08 1.9373821544468319e+08 1.9243853395383433e+08 1.9100368006826186e+08 1.8940678903993434e+08 1.8765409600545430e+08 1.8574965510576248e+08 1.8370840366691518e+08 1.8155575654668272e+08 1.7934008816375187e+08 1.7713316637959647e+08 1.7505404125357783e+08 1.7324932899865568e+08 1.7195189101930121e+08 1.7148492342857426e+08 1.7231887329160228e+08 1.7513760969588068e+08 1.8097749895973051e+08 1.9147898488776648e+08 2.0940839628055933e+08 5.9135420849790707e+07 +7.6121040346781328e+00 4.0628114416203034e+08 4.0624198442729396e+08 4.0617608871287036e+08 4.0609045656314737e+08 4.0600636967554486e+08 4.0595655717855734e+08 4.0595540407805419e+08 4.0597827576847291e+08 4.0600023549100429e+08 4.0601613551120180e+08 4.0602871408217496e+08 4.0603806448781961e+08 4.0604319497467566e+08 4.0604344203466600e+08 4.0603832543639642e+08 4.0602709193831164e+08 4.0600888308333677e+08 4.0598282770167363e+08 4.0594792810431588e+08 4.0590293798401707e+08 4.0584635620428550e+08 4.0577623909321886e+08 4.0568918563503546e+08 4.0557918314395088e+08 4.0544346626441497e+08 4.0528142695298475e+08 4.0508784736906570e+08 4.0485611283619756e+08 4.0457890539641881e+08 4.0424751215265507e+08 4.0385143325251806e+08 4.0337797306961173e+08 4.0281176495343637e+08 4.0213421607749754e+08 4.0132288082450038e+08 4.0035068877292693e+08 3.9918515646230185e+08 3.9778753926401252e+08 3.9611210694052058e+08 3.9410553844385064e+08 3.9151065052466863e+08 3.8837826467299348e+08 3.8461691784797305e+08 3.8013335596453899e+08 3.7484055008453780e+08 3.6866887353625661e+08 3.6157977394480997e+08 3.5358002162604260e+08 3.4473373630078632e+08 3.3516589633717662e+08 3.2505687132360357e+08 3.1463686536736906e+08 3.0416433461459559e+08 2.9387511408608466e+08 2.8397481218897438e+08 2.7462845347917193e+08 2.6594320675685638e+08 2.5797812326774564e+08 2.5074706845961359e+08 2.4424242273983273e+08 2.3842648298818144e+08 2.3326226403064674e+08 2.2869542923330718e+08 2.2468736630339348e+08 2.2118648441733879e+08 2.1814665348239565e+08 2.1553243288194317e+08 2.1329990658703303e+08 2.1140570331100616e+08 2.0981954836961648e+08 2.0849923365493539e+08 2.0741784891543376e+08 2.0654160758152896e+08 2.0584346728332764e+08 2.0528428154846916e+08 2.0482474631818825e+08 2.0443834459201670e+08 2.0409826428894898e+08 2.0377564881808060e+08 2.0354679554783678e+08 2.0331553775953850e+08 2.0307949627702606e+08 2.0283223724929553e+08 2.0257715549137595e+08 2.0230667991617692e+08 2.0203113334491518e+08 2.0172415282809144e+08 2.0139562199328533e+08 2.0103949638743880e+08 2.0065105607796350e+08 2.0022456550217563e+08 1.9975356345070747e+08 1.9922852351396278e+08 1.9865179237350690e+08 1.9799976164535907e+08 1.9726872749367774e+08 1.9644808336910123e+08 1.9552641485334152e+08 1.9449195079992005e+08 1.9333288416337571e+08 1.9203592246817333e+08 1.9060406904364663e+08 1.8901051908652973e+08 1.8726149308474821e+08 1.8536103669765130e+08 1.8332405599993160e+08 1.8117591267755848e+08 1.7896487994236261e+08 1.7676257600232583e+08 1.7468779938850805e+08 1.7288686300429690e+08 1.7159213959451920e+08 1.7112614957558212e+08 1.7195835480413157e+08 1.7477119383375400e+08 1.8059886498714340e+08 1.9107838073515934e+08 2.0897027888204229e+08 5.8957567879629664e+07 +7.6170723574523906e+00 4.0587481188001442e+08 4.0583568939849436e+08 4.0576985376817375e+08 4.0568429452003503e+08 4.0560027037788421e+08 4.0555047468916941e+08 4.0554927932656598e+08 4.0557207458150345e+08 4.0559394718038183e+08 4.0560975170726460e+08 4.0562222068529528e+08 4.0563144430534226e+08 4.0563642829686528e+08 4.0563650560172892e+08 4.0563119164480454e+08 4.0561972830540925e+08 4.0560125119534087e+08 4.0557488184974653e+08 4.0553961398507547e+08 4.0549419129886419e+08 4.0543710100905865e+08 4.0536638589138597e+08 4.0527862801841658e+08 4.0516778609252948e+08 4.0503105369931263e+08 4.0486779908867753e+08 4.0467278891799927e+08 4.0443938045843756e+08 4.0416021896113926e+08 4.0382654950340348e+08 4.0342782549557149e+08 4.0295130004875606e+08 4.0238155119126618e+08 4.0169992760853451e+08 4.0088392353116930e+08 3.9990640914156890e+08 3.9873484581393218e+08 3.9733044288955343e+08 3.9564743974558210e+08 3.9363250906638145e+08 3.9102778709145772e+08 3.8788478143601274e+08 3.8411220305828810e+08 3.7961706673314303e+08 3.7431271627415746e+08 3.6812999803340721e+08 3.6103091034644341e+08 3.5302280635088474e+08 3.4417035300786215e+08 3.3459896478705758e+08 3.2448926741130745e+08 3.1407147056207150e+08 3.0360377738962132e+08 2.9332160865361822e+08 2.8343003089681160e+08 2.7409347484339410e+08 2.6541856302005535e+08 2.5746388389546460e+08 2.5024295887472481e+08 2.4374791208766711e+08 2.3794090218456289e+08 2.3278485005107617e+08 2.2822540625466493e+08 2.2422394089601666e+08 2.2072890110136908e+08 2.1769420066263717e+08 2.1508443099042347e+08 2.1285573943352127e+08 2.1096482133970997e+08 2.0938144442164564e+08 2.0806347457493326e+08 2.0698403901982483e+08 2.0610940725544918e+08 2.0541257658752945e+08 2.0485446563818175e+08 2.0439583893954581e+08 2.0401021868646184e+08 2.0367083714112845e+08 2.0334889218608195e+08 2.0312051702629623e+08 2.0288974316919300e+08 2.0265419597124475e+08 2.0240745484655637e+08 2.0215290741579330e+08 2.0188299898361191e+08 2.0160802793028629e+08 2.0130169044502708e+08 2.0097384777245826e+08 2.0061846811790568e+08 2.0023084143360516e+08 1.9980524416846234e+08 1.9933522864413536e+08 1.9881128895935506e+08 1.9823576411281332e+08 1.9758509903064594e+08 1.9685559597634691e+08 1.9603667061312553e+08 1.9511693242715791e+08 1.9408463492411345e+08 1.9292799578497374e+08 1.9163375091021520e+08 1.9020489467548674e+08 1.8861468213817605e+08 1.8686931916155005e+08 1.8497284293259698e+08 1.8294012830886108e+08 1.8079648386246267e+08 1.7859008170906159e+08 1.7639239056422436e+08 1.7432195771780974e+08 1.7252479307779500e+08 1.7123278127067825e+08 1.7076776775235358e+08 1.7159823025224942e+08 1.7440517835179967e+08 1.8022064474595529e+08 1.9067821431773150e+08 2.0853264021906286e+08 5.8780175408751570e+07 +7.6220406802266485e+00 4.0546746989129722e+08 4.0542838389279610e+08 4.0536260788140798e+08 4.0527712286781400e+08 4.0519316152990282e+08 4.0514338284605491e+08 4.0514214532528090e+08 4.0516486423369730e+08 4.0518664982488805e+08 4.0520235903267300e+08 4.0521471864733362e+08 4.0522381577262449e+08 4.0522865363705939e+08 4.0522856164246720e+08 4.0522305088650489e+08 4.0521135838492453e+08 4.0519261384021854e+08 4.0516593151670325e+08 4.0513029656484991e+08 4.0508444272177345e+08 4.0502684559887528e+08 4.0495553446813428e+08 4.0486707455591208e+08 4.0475539606380773e+08 4.0461765164760751e+08 4.0445318592270458e+08 4.0425675012050354e+08 4.0402167357938647e+08 4.0374056490899533e+08 4.0340462733863968e+08 4.0300326774486417e+08 4.0252368821422231e+08 4.0195041172505957e+08 4.0126472878808421e+08 4.0044407383635038e+08 3.9946125805784351e+08 3.9828368810733336e+08 3.9687252778727347e+08 3.9518198661534166e+08 3.9315873155448151e+08 3.9054422234050268e+08 3.8739065071610981e+08 3.8360690210971570e+08 3.7910026037547296e+08 3.7378444191188174e+08 3.6759076540530962e+08 3.6048177857166809e+08 3.5246541535650450e+08 3.4360688733160800e+08 3.3403204204167950e+08 3.2392175825488091e+08 3.1350624853578675e+08 3.0304346112051862e+08 2.9276840148813736e+08 2.8288559429322636e+08 2.7355887723387450e+08 2.6489432788390049e+08 2.5695007349230248e+08 2.4973929294768953e+08 2.4325385549379095e+08 2.3745578265781176e+08 2.3230790228848776e+08 2.2775585278797808e+08 2.2376098716865337e+08 2.2027179083112743e+08 2.1724222168439466e+08 2.1463690335882124e+08 2.1241204666927138e+08 2.1052441365726778e+08 2.0894381450100005e+08 2.0762818909769148e+08 2.0655070219800487e+08 2.0567767938595489e+08 2.0498215768725231e+08 2.0442512083375785e+08 2.0396740194385594e+08 2.0358256244754231e+08 2.0324387896161258e+08 2.0292260381266314e+08 2.0269470624470019e+08 2.0246441578974596e+08 2.0222936233427697e+08 2.0198313854401276e+08 2.0172912485327223e+08 2.0145978293848854e+08 2.0118538677924591e+08 2.0087969161918503e+08 2.0055253635288712e+08 2.0019790183067414e+08 1.9981108787811673e+08 1.9938638294265550e+08 1.9891735286218533e+08 1.9839451221927944e+08 1.9782019235028195e+08 1.9717089141499412e+08 1.9644291777731696e+08 1.9562570928880170e+08 1.9470789931422427e+08 1.9367776598334357e+08 1.9252355167768732e+08 1.9123202063904423e+08 1.8980615831231749e+08 1.8821927953237307e+08 1.8647757556093973e+08 1.8458507512213102e+08 1.8255662189078948e+08 1.8041747138340193e+08 1.7821569473008966e+08 1.7602261131599718e+08 1.7395651747726351e+08 1.7216312044223773e+08 1.7087381726190224e+08 1.7040977916979113e+08 1.7123850085273293e+08 1.7403956448671907e+08 1.7984283951412064e+08 1.9027848698752886e+08 2.0809548177058816e+08 5.8603242594123229e+07 +7.6270090030009063e+00 4.0505912759647572e+08 4.0502007737656474e+08 4.0495435944936413e+08 4.0486894809819758e+08 4.0478504970132673e+08 4.0473528827555901e+08 4.0473400869662750e+08 4.0475665134706032e+08 4.0477835004684341e+08 4.0479396410954762e+08 4.0480621459035462e+08 4.0481518551271224e+08 4.0481987761843032e+08 4.0481961678135157e+08 4.0481390978574914e+08 4.0480198880219668e+08 4.0478297764370656e+08 4.0475598332869583e+08 4.0471998247088277e+08 4.0467369887961513e+08 4.0461559660180324e+08 4.0454369145214611e+08 4.0445453187650180e+08 4.0434201968690771e+08 4.0420326673920757e+08 4.0403759408624905e+08 4.0383973760857773e+08 4.0360299883122677e+08 4.0331994987325984e+08 4.0298175229195815e+08 4.0257776663443482e+08 4.0209514419927275e+08 4.0151835318789232e+08 4.0082862624658263e+08 4.0000333836727083e+08 3.9901524214255500e+08 3.9783168995494312e+08 3.9641380055624324e+08 3.9471575412952000e+08 3.9268421246098053e+08 3.9005996278278106e+08 3.8689587896780163e+08 3.8310102137979996e+08 3.7858294316446668e+08 3.7325573313508624e+08 3.6705118161773980e+08 3.5993238437596196e+08 3.5190785414634717e+08 3.4304334448492104e+08 3.3346513299117523e+08 3.2335434839954734e+08 3.1294120348019576e+08 3.0248338964983463e+08 2.9221549609950823e+08 2.8234150558288306e+08 2.7302466358070916e+08 2.6437050403865457e+08 2.5643669454163471e+08 2.4923607298599753e+08 2.4276025511666414e+08 2.3697112644057167e+08 2.3183142266953951e+08 2.2728677067029867e+08 2.2329850688303632e+08 2.1981515530378726e+08 2.1679071819137028e+08 2.1418985158602709e+08 2.1196882985589159e+08 2.1008448179508173e+08 2.0850666011377269e+08 2.0719337870919779e+08 2.0611783992035246e+08 2.0524642543158871e+08 2.0455221203247094e+08 2.0399624857896829e+08 2.0353943677027673e+08 2.0315537731115881e+08 2.0281739118337613e+08 2.0249678512836048e+08 2.0226936463183400e+08 2.0203955704837996e+08 2.0180499679164296e+08 2.0155928976555696e+08 2.0130580922606513e+08 2.0103703320099577e+08 2.0076321131003225e+08 2.0045815776673260e+08 2.0013168914886513e+08 1.9977779893714356e+08 1.9939179682015133e+08 1.9896798323050207e+08 1.9849993750776297e+08 1.9797819469185781e+08 1.9740507848032016e+08 1.9675714018828905e+08 1.9603069428151771e+08 1.9521520077542946e+08 1.9429931688687107e+08 1.9327134534312052e+08 1.9211955319848499e+08 1.9083073300252709e+08 1.8940786129254097e+08 1.8782431259597191e+08 1.8608626359742755e+08 1.8419773456778240e+08 1.8217353803273538e+08 1.8003887651204702e+08 1.7784172026190844e+08 1.7565323949855280e+08 1.7359147989343584e+08 1.7180184631143549e+08 1.7051524877281731e+08 1.7005218502920231e+08 1.7087916781246340e+08 1.7367435346532288e+08 1.7946545055948064e+08 1.8987920008593789e+08 2.0765880500336137e+08 5.8426768592482798e+07 +7.6319773257751642e+00 4.0464978458398122e+08 4.0461077234146148e+08 4.0454511444203824e+08 4.0445977669337624e+08 4.0437594146397114e+08 4.0432619758864015e+08 4.0432487604850537e+08 4.0434744252882808e+08 4.0436905445498002e+08 4.0438457354697740e+08 4.0439671512388927e+08 4.0440556013551337e+08 4.0441010685175532e+08 4.0440967762932599e+08 4.0440377495402312e+08 4.0439162616861248e+08 4.0437234921807617e+08 4.0434504389823991e+08 4.0430867831578058e+08 4.0426196638595068e+08 4.0420336063137120e+08 4.0413086345744330e+08 4.0404100659461778e+08 4.0392766357732308e+08 4.0378790559053320e+08 4.0362103019594872e+08 4.0342175799951863e+08 4.0318336283230340e+08 4.0289838047304666e+08 4.0255793098279685e+08 4.0215132878399813e+08 4.0166567462308758e+08 4.0108538219736725e+08 4.0039162659995216e+08 3.9956172373563594e+08 3.9856836800178820e+08 3.9737885795304292e+08 3.9595426777920425e+08 3.9424874885128713e+08 3.9220895832073438e+08 3.8957501491242105e+08 3.8640047262718445e+08 3.8259456722517210e+08 3.7806512135256112e+08 3.7272659606100297e+08 3.6651125261642402e+08 3.5938273349281192e+08 3.5135012820154536e+08 3.4247972965898561e+08 3.3289824250458586e+08 3.2278704237022293e+08 3.1237633956694424e+08 3.0192356680041993e+08 2.9166289597911566e+08 2.8179776795133144e+08 2.7249083679618025e+08 2.6384709415759709e+08 2.5592374951033527e+08 2.4873330128145343e+08 2.4226711309941170e+08 2.3648693555086464e+08 2.3135541310662770e+08 2.2681816172517243e+08 2.2283650178711629e+08 2.1935899620451871e+08 2.1633969181538689e+08 2.1374327725921446e+08 2.1152609054323766e+08 2.0964502727208263e+08 2.0806998275430471e+08 2.0675904488399336e+08 2.0568545364595526e+08 2.0481564683971971e+08 2.0412274106169176e+08 2.0356785030601823e+08 2.0311194484649605e+08 2.0272866470125121e+08 2.0239137522813445e+08 2.0207143755255887e+08 2.0184449360550767e+08 2.0161516836131048e+08 2.0138110075774297e+08 2.0113590992355952e+08 2.0088296194510204e+08 2.0061475118023965e+08 2.0034150292972317e+08 2.0003709029260817e+08 1.9971130756271389e+08 1.9935816083741361e+08 1.9897296965710297e+08 1.9855004642649671e+08 1.9808298397148812e+08 1.9756233776501346e+08 1.9699042388661048e+08 1.9634384672946697e+08 1.9561892686280018e+08 1.9480514644095927e+08 1.9389118650692233e+08 1.9286537435806191e+08 1.9171600169396490e+08 1.9042988933821556e+08 1.8901000494345167e+08 1.8742978264527783e+08 1.8569538457535049e+08 1.8381082256008959e+08 1.8179087801147377e+08 1.7966070051039016e+08 1.7746815955093244e+08 1.7528427634308428e+08 1.7322684618269464e+08 1.7144097188939413e+08 1.7015707699843839e+08 1.6969498652230111e+08 1.7052023232939380e+08 1.7330954650495598e+08 1.7908847913978466e+08 1.8948035494370297e+08 2.0722261137288254e+08 5.8250752560351752e+07 +7.6369456485494220e+00 4.0423945345037687e+08 4.0420047439847749e+08 4.0413487839763683e+08 4.0404961515712661e+08 4.0396584339925170e+08 4.0391611737950617e+08 4.0391475397674906e+08 4.0393724437315905e+08 4.0395876964475256e+08 4.0397419394052523e+08 4.0398622684410745e+08 4.0399494623799407e+08 4.0399934793394732e+08 4.0399875078300321e+08 4.0399265298895973e+08 4.0398027708256531e+08 4.0396073516202503e+08 4.0393311982449204e+08 4.0389639069869363e+08 4.0384925184065747e+08 4.0379014428801006e+08 4.0371705708526731e+08 4.0362650531237930e+08 4.0351233433701831e+08 4.0337157480366993e+08 4.0320350085504222e+08 4.0300281789711940e+08 4.0276277218691307e+08 4.0247586331280935e+08 4.0213317001584762e+08 4.0172396079842484e+08 4.0123528609030759e+08 4.0065150535662413e+08 3.9995373644903588e+08 3.9911923653808582e+08 3.9812064222559375e+08 3.9692519868256092e+08 3.9549393602295804e+08 3.9378097732701808e+08 3.9173297565235561e+08 3.8908938520511311e+08 3.8590443811164927e+08 3.8208754598444045e+08 3.7754680117339420e+08 3.7219703678706729e+08 3.6597098432595098e+08 3.5883283163514090e+08 3.5079224298249424e+08 3.4191604802309513e+08 3.3233137542842442e+08 3.2221984466971743e+08 3.1181166094613463e+08 3.0136399637432325e+08 2.9111060459865731e+08 2.8125438456588173e+08 2.7195739977528697e+08 2.6332410089692783e+08 2.5541124084981593e+08 2.4823098011060548e+08 2.4177443157161409e+08 2.3600321199277425e+08 2.3087987549910307e+08 2.2635002776288632e+08 2.2237497361627164e+08 2.1890331520560560e+08 2.1588914417529917e+08 2.1329718195297551e+08 2.1108383026897010e+08 2.0920605159549022e+08 2.0763378390517902e+08 2.0632518908505458e+08 2.0525354482225430e+08 2.0438534504627165e+08 2.0369374620230335e+08 2.0313992743579668e+08 2.0268492758910710e+08 2.0230242603136787e+08 2.0196583250602755e+08 2.0164656249310467e+08 2.0142009457214278e+08 2.0119125113302740e+08 2.0095767563571933e+08 2.0071300041961268e+08 2.0046058440999091e+08 2.0019293827393723e+08 1.9992026303410944e+08 1.9961649059059915e+08 1.9929139298608023e+08 1.9893898892058623e+08 1.9855460777542713e+08 1.9813257391411996e+08 1.9766649363399205e+08 1.9714694281517485e+08 1.9657622994165927e+08 1.9593101240686005e+08 1.9520761688419428e+08 1.9439554764297670e+08 1.9348350952543443e+08 1.9245985437189177e+08 1.9131289849997908e+08 1.9002949097316918e+08 1.8861259058197677e+08 1.8703569098627368e+08 1.8530493978847909e+08 1.8342434038012409e+08 1.8140864309362659e+08 1.7928294463026708e+08 1.7709501383372045e+08 1.7491572307077542e+08 1.7286261755226031e+08 1.7108049837074617e+08 1.6979930312427953e+08 1.6933818483177310e+08 1.7016169559153298e+08 1.7294514481317908e+08 1.7871192650296521e+08 1.8908195288110536e+08 2.0678690232283184e+08 5.8075193654046401e+07 +7.6419139713236799e+00 4.0382813476264495e+08 4.0378919525750917e+08 4.0372365962007904e+08 4.0363847002336985e+08 4.0355476209788853e+08 4.0350505422449303e+08 4.0350364906197888e+08 4.0352606346033257e+08 4.0354750219817847e+08 4.0356283187261599e+08 4.0357475633317888e+08 4.0358335040245169e+08 4.0358760744793367e+08 4.0358684282672399e+08 4.0358055047463840e+08 4.0356794812849545e+08 4.0354814206009805e+08 4.0352021769241619e+08 4.0348312620597988e+08 4.0343556182994819e+08 4.0337595415850419e+08 4.0330227892279220e+08 4.0321103461720687e+08 4.0309603855445391e+08 4.0295428096727681e+08 4.0278501265242827e+08 4.0258292389122045e+08 4.0234123348535806e+08 4.0205240498329121e+08 4.0170747598213470e+08 4.0129566926800936e+08 4.0080398519082737e+08 4.0021672925412726e+08 3.9951496237944448e+08 3.9867588335623908e+08 3.9767207138908893e+08 3.9647071870825952e+08 3.9503281183791882e+08 3.9331244608656061e+08 3.9125627095685387e+08 3.8860308011966866e+08 3.8540778182055461e+08 3.8157996397717619e+08 3.7702798884074968e+08 3.7166706138980687e+08 3.6543038265029693e+08 3.5828268449454868e+08 3.5023420392765665e+08 3.4135230472466803e+08 3.3176453658803010e+08 3.2165275977978271e+08 3.1124717174736708e+08 3.0080468215482366e+08 2.9055862541016763e+08 2.8071135857520843e+08 2.7142435539498776e+08 2.6280152689628586e+08 2.5489917099568614e+08 2.4772911173472241e+08 2.4128221264647734e+08 2.3551995775673151e+08 2.3040481173190147e+08 2.2588237058038118e+08 2.2191392409306136e+08 2.1844811396677247e+08 2.1543907687829578e+08 2.1285156722984490e+08 2.1064205055897540e+08 2.0876755626099330e+08 2.0719806503736362e+08 2.0589181276358941e+08 2.0482211488546270e+08 2.0395552147547528e+08 2.0326522886989301e+08 2.0271248137796488e+08 2.0225838640305698e+08 2.0187666270301211e+08 2.0154076441620016e+08 2.0122216134669605e+08 2.0099616892667744e+08 2.0076780675738993e+08 2.0053472281766900e+08 2.0029056264416417e+08 2.0003867800931469e+08 1.9977159586886758e+08 1.9949949300799862e+08 1.9919636004333028e+08 1.9887194679940605e+08 1.9852028456452653e+08 1.9813671255036730e+08 1.9771556706561038e+08 1.9725046786424267e+08 1.9673201120801923e+08 1.9616249800715521e+08 1.9551863857727417e+08 1.9479676569763184e+08 1.9398640572781464e+08 1.9307628728252688e+08 1.9205478671773794e+08 1.9091024494146991e+08 1.8962953922343048e+08 1.8821561951449540e+08 1.8664203891447487e+08 1.8491493052031887e+08 1.8303828929824075e+08 1.8102683453569925e+08 1.7890561011354825e+08 1.7672228433683029e+08 1.7454758089356694e+08 1.7249879519922298e+08 1.7072042694034585e+08 1.6944192832669884e+08 1.6898178113029215e+08 1.6980355877752352e+08 1.7258114958785579e+08 1.7833579388680398e+08 1.8868399520795086e+08 2.0635167928575280e+08 5.7900091029689834e+07 +7.6468822940979377e+00 4.0341584121816534e+08 4.0337693884888679e+08 4.0331146341772753e+08 4.0322634792382634e+08 4.0314270415205556e+08 4.0309301468423980e+08 4.0309156787094152e+08 4.0311390635764414e+08 4.0313525868377453e+08 4.0315049391166598e+08 4.0316231015985662e+08 4.0317077919866616e+08 4.0317489196374154e+08 4.0317396033056670e+08 4.0316747398152786e+08 4.0315464587749976e+08 4.0313457648411888e+08 4.0310634407410872e+08 4.0306889140945965e+08 4.0302090292654943e+08 4.0296079681627017e+08 4.0288653554324692e+08 4.0279460108275926e+08 4.0267878280365998e+08 4.0253603065646333e+08 4.0236557216362423e+08 4.0216208255749804e+08 4.0191875330398744e+08 4.0162801206087911e+08 4.0128085545810682e+08 4.0086646076930124e+08 4.0037177849999839e+08 3.9978106046360064e+08 3.9907531096160603e+08 3.9823167075618899e+08 3.9722266205112809e+08 3.9601542457882470e+08 3.9457090175753886e+08 3.9284316164277208e+08 3.9077885071828979e+08 3.8811610609622753e+08 3.8491051013524783e+08 3.8107182750416607e+08 3.7650869054941702e+08 3.7113667592602468e+08 3.6488945347226042e+08 3.5773229774098581e+08 3.4967601645410842e+08 3.4078850489009315e+08 3.3119773078751612e+08 3.2108579216067469e+08 3.1068287607987577e+08 3.0024562790357333e+08 2.9000696184679502e+08 2.8016869310939431e+08 2.7089170651495200e+08 2.6227937477855378e+08 2.5438754236666816e+08 2.4722769839998403e+08 2.4079045842426082e+08 2.3503717481823379e+08 2.2993022367685249e+08 2.2541519196149287e+08 2.2145335492747226e+08 2.1799339413495198e+08 2.1498949151866978e+08 2.1240643464051303e+08 2.1020075292723316e+08 2.0832954275242591e+08 2.0676282761019984e+08 2.0545891735966358e+08 2.0439116526012021e+08 2.0352617754047117e+08 2.0283719046915552e+08 2.0228551353107166e+08 2.0183232268228263e+08 2.0145137610679737e+08 2.0111617234694013e+08 2.0079823549921227e+08 2.0057271805347851e+08 2.0034483661679369e+08 2.0011224368428484e+08 1.9986859797628489e+08 1.9961724412040174e+08 1.9935072534053421e+08 1.9907919422521591e+08 1.9877670002248183e+08 1.9845297037186036e+08 1.9810204913627183e+08 1.9771928534638348e+08 1.9729902724261504e+08 1.9683490802054146e+08 1.9631754429805514e+08 1.9574922943360987e+08 1.9510672658708760e+08 1.9438637464470196e+08 1.9357772203138229e+08 1.9266952110767284e+08 1.9165017271800041e+08 1.9050804233338293e+08 1.8923003539492184e+08 1.8781909303721258e+08 1.8624882771496144e+08 1.8452535804421753e+08 1.8265267057482406e+08 1.8064545358430734e+08 1.7852869819198936e+08 1.7634997227731267e+08 1.7417985101312596e+08 1.7213538031147832e+08 1.7036075877376527e+08 1.6908495377227399e+08 1.6862577658154133e+08 1.6944582305671880e+08 1.7221756201722154e+08 1.7796008251936835e+08 1.8828648322341579e+08 2.0591694368222472e+08 5.7725443843223460e+07 +7.6518506168721956e+00 4.0300257833313262e+08 4.0296371003937113e+08 4.0289829628176695e+08 4.0281325552802968e+08 4.0272967614614999e+08 4.0268000530321890e+08 4.0267851695672917e+08 4.0270077961842710e+08 4.0272204565613717e+08 4.0273718661229539e+08 4.0274889487893820e+08 4.0275723918223006e+08 4.0276120803725141e+08 4.0276010985066521e+08 4.0275343006663918e+08 4.0274037688660771e+08 4.0272004499150205e+08 4.0269150552761024e+08 4.0265369286787415e+08 4.0260528168933117e+08 4.0254467882006133e+08 4.0246983350625360e+08 4.0237721126905781e+08 4.0226057364526796e+08 4.0211683043198693e+08 4.0194518595023459e+08 4.0174030045756817e+08 4.0149533820423973e+08 4.0120269110794777e+08 4.0085331500586444e+08 4.0043634186381066e+08 3.9993867257815403e+08 3.9934450554347968e+08 3.9863478875122201e+08 3.9778660528871554e+08 3.9677242075509542e+08 3.9555932282734388e+08 3.9410821230004406e+08 3.9237313049238235e+08 3.9030072140314060e+08 3.8762846955789578e+08 3.8441262941808915e+08 3.8056314284714478e+08 3.7598891247355860e+08 3.7060588643252301e+08 3.6434820265464640e+08 3.5718167702374685e+08 3.4911768595742232e+08 3.4022465362383515e+08 3.3063096280906886e+08 3.2051894625217032e+08 3.1011877803122354e+08 2.9968683736289459e+08 2.8945561732252920e+08 2.7962639128072840e+08 2.7035945597742760e+08 2.6175764715030062e+08 2.5387635736666358e+08 2.4672674233711410e+08 2.4029917098964846e+08 2.3455486513929540e+08 2.2945611319221222e+08 2.2494849367690057e+08 2.2099326781595978e+08 2.1753915734502488e+08 2.1454038967893481e+08 2.1196178572331348e+08 2.0975993887583774e+08 2.0789201254171640e+08 2.0632807307144436e+08 2.0502650430146497e+08 2.0396069735940358e+08 2.0309731464298871e+08 2.0240963239334005e+08 2.0185902528191170e+08 2.0140673780952036e+08 2.0102656762203461e+08 2.0069205767449707e+08 2.0037478632506299e+08 2.0014974332499453e+08 1.9992234208239165e+08 1.9969023960535043e+08 1.9944710778395045e+08 1.9919628410965914e+08 1.9893032805366227e+08 1.9865936804821742e+08 1.9835751188867787e+08 1.9803446506201997e+08 1.9768428399193674e+08 1.9730232751666829e+08 1.9688295579538304e+08 1.9641981545007551e+08 1.9590354342924377e+08 1.9533642556111944e+08 1.9469527777177888e+08 1.9397644505591339e+08 1.9316949787861124e+08 1.9226321231976596e+08 1.9124601368461382e+08 1.9010629197947621e+08 1.8883098078278318e+08 1.8742301243548661e+08 1.8585605866266072e+08 1.8413622362310261e+08 1.8226748546007785e+08 1.8026450147585556e+08 1.7815221008758229e+08 1.7597807886212385e+08 1.7381253462158847e+08 1.7177237406714076e+08 1.7000149503720680e+08 1.6872838061840904e+08 1.6827017233964792e+08 1.6908848958882982e+08 1.7185438328039318e+08 1.7758479361865082e+08 1.8788941821627986e+08 2.0548269692190129e+08 5.7551251250418611e+07 +7.6568189396464534e+00 4.0258834897911131e+08 4.0254951768170559e+08 4.0248416510256243e+08 4.0239919942173284e+08 4.0231568464179903e+08 4.0226603261202306e+08 4.0226450285846686e+08 4.0228668978235495e+08 4.0230786965679610e+08 4.0232291651607251e+08 4.0233451703211039e+08 4.0234273689508003e+08 4.0234656221120989e+08 4.0234529793021470e+08 4.0233842527339733e+08 4.0232514769985074e+08 4.0230455412619221e+08 4.0227570859727067e+08 4.0223753712531388e+08 4.0218870466356367e+08 4.0212760671542823e+08 4.0205217935835212e+08 4.0195887172278023e+08 4.0184141762567073e+08 4.0169668684072614e+08 4.0152386055884713e+08 4.0131758413934696e+08 4.0107099473461729e+08 4.0077644867224461e+08 4.0042486117313623e+08 4.0000531909838188e+08 3.9950467397138250e+08 3.9890707103810531e+08 3.9819340228932512e+08 3.9734069348925239e+08 3.9632135402922350e+08 3.9510241997040969e+08 3.9364474996657938e+08 3.9190235911453515e+08 3.8982188946124482e+08 3.8714017690958637e+08 3.8391414601376939e+08 3.8005391626898330e+08 3.7546866076842904e+08 3.7007469892558432e+08 3.6380663603945565e+08 3.5663082797050005e+08 3.4855921781147981e+08 3.3966075600855500e+08 3.3006423741381663e+08 3.1995222647221220e+08 3.0955488166955000e+08 2.9912831425529885e+08 2.8890459523201239e+08 2.7908445618275076e+08 2.6982760660681778e+08 2.6123634660081974e+08 2.5336561838281152e+08 2.4622624576190856e+08 2.3980835241303453e+08 2.3407303066782081e+08 2.2898248212256578e+08 2.2448227748414230e+08 2.2053366444298747e+08 2.1708540521916825e+08 2.1409177292925066e+08 2.1151762200505391e+08 2.0931960989496106e+08 2.0745496708965781e+08 2.0589380285748363e+08 2.0459457500605023e+08 2.0353071258529022e+08 2.0266893417358941e+08 2.0198255602436602e+08 2.0143301800642905e+08 2.0098163315601724e+08 2.0060223861718127e+08 2.0026842176479799e+08 1.9995181518738863e+08 1.9972724610344788e+08 1.9950032451455018e+08 1.9926871193953726e+08 1.9902609342405456e+08 1.9877579933242145e+08 1.9851040536147612e+08 1.9824001582871851e+08 1.9793879699128649e+08 1.9761643221713489e+08 1.9726699047628853e+08 1.9688584040362960e+08 1.9646735406363815e+08 1.9600519148941091e+08 1.9549000993437013e+08 1.9492408771839800e+08 1.9428429345618132e+08 1.9356697825083503e+08 1.9276173458362740e+08 1.9185736222683170e+08 1.9084231091869408e+08 1.8970499517316058e+08 1.8843237667184082e+08 1.8702737898444492e+08 1.8546373302209267e+08 1.8374752850983116e+08 1.8188273519423327e+08 1.7988397943690693e+08 1.7777614701261222e+08 1.7560660528852481e+08 1.7344563290170375e+08 1.7140977763516894e+08 1.6964263688713729e+08 1.6837221001291451e+08 1.6791496954963639e+08 1.6873155952427152e+08 1.7149161454634327e+08 1.7720992839292815e+08 1.8749280146504623e+08 2.0504894040262738e+08 5.7377512406887993e+07 +7.6617872624207113e+00 4.0217316273108256e+08 4.0213436536053199e+08 4.0206907635338044e+08 4.0198418607389021e+08 4.0190073616915482e+08 4.0185110312938637e+08 4.0184953210108149e+08 4.0187164337544727e+08 4.0189273721320480e+08 4.0190769015116113e+08 4.0191918314768028e+08 4.0192727886573064e+08 4.0193096101412511e+08 4.0192953109800392e+08 4.0192246613086754e+08 4.0190896484694517e+08 4.0188811041870314e+08 4.0185895981394660e+08 4.0182043071393377e+08 4.0177117838011497e+08 4.0170958703454268e+08 4.0163357963068473e+08 4.0153958897637451e+08 4.0142132127758116e+08 4.0127560641566151e+08 4.0110160252324146e+08 4.0089394013574290e+08 4.0064572942834485e+08 4.0034929128727180e+08 3.9999550049311823e+08 3.9957339900589800e+08 3.9906978921064878e+08 3.9846876347564739e+08 3.9775115810067886e+08 3.9689394187753719e+08 3.9586946838535273e+08 3.9464472250923687e+08 3.9318052124207652e+08 3.9143085397239310e+08 3.8934236132476449e+08 3.8665123453914660e+08 3.8341506624825430e+08 3.7954415401300061e+08 3.7494794157005823e+08 3.6954311940112406e+08 3.6326475944710988e+08 3.5607975618822962e+08 3.4800061736941051e+08 3.3909681710590780e+08 3.2949755934039772e+08 3.1938563721780574e+08 3.0899119104131478e+08 2.9857006228309608e+08 2.8835389895061672e+08 2.7854289089064634e+08 2.6929616121057105e+08 2.6071547570308173e+08 2.5285532778714785e+08 2.4572621087488714e+08 2.3931800475029063e+08 2.3359167333792913e+08 2.2850933229905200e+08 2.2401654512789485e+08 2.2007454647973743e+08 2.1663213936716115e+08 2.1364364282740128e+08 2.1107394499999747e+08 2.0887976746334675e+08 2.0701840784491515e+08 2.0546001839312029e+08 2.0416313087907478e+08 2.0310121232844183e+08 2.0224103751129743e+08 2.0155596273317119e+08 2.0100749306951246e+08 2.0055701008251193e+08 2.0017839044904104e+08 1.9984526597229338e+08 1.9952932343855962e+08 1.9930522773928842e+08 1.9907878526246580e+08 1.9884766203441086e+08 1.9860555624286044e+08 1.9835579113284999e+08 1.9809095860677445e+08 1.9782113890733892e+08 1.9752055666899076e+08 1.9719887317368120e+08 1.9685016992339900e+08 1.9646982533892840e+08 1.9605222337602365e+08 1.9559103746386009e+08 1.9507694513550234e+08 1.9451221722392595e+08 1.9387377495381808e+08 1.9315797553871253e+08 1.9235443344993013e+08 1.9145197212632233e+08 1.9043906571083242e+08 1.8930415319750845e+08 1.8803422433639514e+08 1.8663219394897237e+08 1.8507185204734910e+08 1.8335927394706386e+08 1.8149842100705713e+08 1.7950388868385801e+08 1.7740051016902164e+08 1.7523555274433830e+08 1.7307914702637154e+08 1.7104759217446560e+08 1.6928418547096175e+08 1.6801644309466121e+08 1.6756016934704605e+08 1.6837503400425899e+08 1.7112925697499695e+08 1.7683548804067048e+08 1.8709663423755297e+08 2.0461567551120874e+08 5.7204226468097262e+07 +7.6667555851949691e+00 4.0175702401455498e+08 4.0171826417916608e+08 4.0165303644403613e+08 4.0156822185381645e+08 4.0148483722420138e+08 4.0143522336177945e+08 4.0143361119613081e+08 4.0145564690973425e+08 4.0147665483881623e+08 4.0149151403065425e+08 4.0150289973923457e+08 4.0151087160921425e+08 4.0151441096131682e+08 4.0151281586992049e+08 4.0150555915545934e+08 4.0149183484418559e+08 4.0147072038547361e+08 4.0144126569450057e+08 4.0140238015003508e+08 4.0135270935674435e+08 4.0129062629465008e+08 4.0121404084239483e+08 4.0111936954799551e+08 4.0100029111967742e+08 4.0085359567559212e+08 4.0067841836220211e+08 4.0046937496627921e+08 4.0021954880493498e+08 3.9992122547270131e+08 3.9956523948460954e+08 3.9914058810420442e+08 3.9863402481274384e+08 3.9802958937054235e+08 3.9730806269573963e+08 3.9644635695853227e+08 3.9541677032040787e+08 3.9418623692888349e+08 3.9271553259527564e+08 3.9095862151147121e+08 3.8886214340871352e+08 3.8616164881546956e+08 3.8291539642884713e+08 3.7903386230428976e+08 3.7442676099405003e+08 3.6901115383591378e+08 3.6272257867839903e+08 3.5552846726243931e+08 3.4744188996162933e+08 3.3853284195536041e+08 3.2893093330742061e+08 3.1881918286471039e+08 3.0842771017272311e+08 2.9801208512872124e+08 2.8780353183499599e+08 2.7800169846170837e+08 2.6876512257845920e+08 2.6019503701383898e+08 2.5234548793553689e+08 2.4522663986156958e+08 2.3882813004299501e+08 2.3311079506943700e+08 2.2803666553954366e+08 2.2355129833946824e+08 2.1961591558491936e+08 2.1617936138640922e+08 2.1319600091934770e+08 2.1063075621109632e+08 2.0844041304778650e+08 2.0658233624484488e+08 2.0502672109150562e+08 2.0373217331460032e+08 2.0267219796821341e+08 2.0181362602425098e+08 2.0112985387938681e+08 2.0058245182474613e+08 2.0013286993800095e+08 1.9975502446397105e+08 1.9942259164047787e+08 1.9910731241982555e+08 1.9888368957213783e+08 1.9865772566420731e+08 1.9842709122656912e+08 1.9818549757510024e+08 1.9793626084423754e+08 1.9767198912089452e+08 1.9740273861366984e+08 1.9710279224944875e+08 1.9678178925721478e+08 1.9643382365646657e+08 1.9605428364286429e+08 1.9563756505017599e+08 1.9517735468838301e+08 1.9466435034381065e+08 1.9410081538501683e+08 1.9346372356799340e+08 1.9274943821764895e+08 1.9194759577094769e+08 1.9104704330526885e+08 1.9003627934104341e+08 1.8890376732476917e+08 1.8763652504047853e+08 1.8623745858375853e+08 1.8468041698268008e+08 1.8297146116729474e+08 1.8111454411878628e+08 1.7912423042331117e+08 1.7702530074971214e+08 1.7486492240720361e+08 1.7271307815902206e+08 1.7068581883484921e+08 1.6892614192633358e+08 1.6766108099285981e+08 1.6720577285796988e+08 1.6801891416055864e+08 1.7076731171658587e+08 1.7646147375050104e+08 1.8670091779139572e+08 2.0418290362300712e+08 5.7031392589376263e+07 +7.6717239079692270e+00 4.0133993950722849e+08 4.0130121881655914e+08 4.0123605186268824e+08 4.0115131328829253e+08 4.0106799427438009e+08 4.0101839980465627e+08 4.0101674664125341e+08 4.0103870688463491e+08 4.0105962903355300e+08 4.0107439465537661e+08 4.0108567330735356e+08 4.0109352162594640e+08 4.0109691855405784e+08 4.0109515874725246e+08 4.0108771084897250e+08 4.0107376419385076e+08 4.0105239052969402e+08 4.0102263274130452e+08 4.0098339193698913e+08 4.0093330409738016e+08 4.0087073099988014e+08 4.0079356949669355e+08 4.0069821994199103e+08 4.0057833365709287e+08 4.0043066112550032e+08 4.0025431458085829e+08 4.0004389513704199e+08 3.9979245936955869e+08 3.9949225773287469e+08 3.9913408465192872e+08 3.9870689289654708e+08 3.9819738727886844e+08 3.9758955522158158e+08 3.9686412256934601e+08 3.9599794522094631e+08 3.9496326631477058e+08 3.9372696969733757e+08 3.9224979047840595e+08 3.9048566816143602e+08 3.8838124211087233e+08 3.8567142609079373e+08 3.8241514284525937e+08 3.7852304734881055e+08 3.7390512513684756e+08 3.6847880818507749e+08 3.6218009951249683e+08 3.5497696675745910e+08 3.4688304089849341e+08 3.3796883557494700e+08 3.2836436401112580e+08 3.1825286776773703e+08 3.0786444307010156e+08 2.9745438645497364e+08 2.8725349722256088e+08 2.7746088193481225e+08 2.6823449348321149e+08 2.5967503307305619e+08 2.5183610116831028e+08 2.4472753489255002e+08 2.3833873031822577e+08 2.3263039776875415e+08 2.2756448364822048e+08 2.2308653883730665e+08 2.1915777340469903e+08 2.1572707286192247e+08 2.1274884873884252e+08 2.1018805712901956e+08 2.0800154810336077e+08 2.0614675371514246e+08 2.0459391235449651e+08 2.0330170369575834e+08 2.0224367087235126e+08 2.0138670106924281e+08 2.0070423081150338e+08 2.0015789561462200e+08 1.9970921406093660e+08 1.9933214199680138e+08 1.9900040010193855e+08 1.9868578346126732e+08 1.9846263293100229e+08 1.9823714704692546e+08 1.9800700084172657e+08 1.9776591874485216e+08 1.9751720978911799e+08 1.9725349822446531e+08 1.9698481626664278e+08 1.9668550504954764e+08 1.9636518178223431e+08 1.9601795298783106e+08 1.9563921662544891e+08 1.9522338039332929e+08 1.9476414446660355e+08 1.9425222686019433e+08 1.9368988349836752e+08 1.9305414059133264e+08 1.9234136757549796e+08 1.9154122282857752e+08 1.9064257703968316e+08 1.8963395307899705e+08 1.8850383881708759e+08 1.8723928003758812e+08 1.8584317413266468e+08 1.8428942906147876e+08 1.8258409139278391e+08 1.8073110573905233e+08 1.7874500585194844e+08 1.7665051993690228e+08 1.7449471544547123e+08 1.7234742745366150e+08 1.7032445875672421e+08 1.6856850738196218e+08 1.6730612482768890e+08 1.6685178119979122e+08 1.6766320111561990e+08 1.7040577991196984e+08 1.7608788670133635e+08 1.8630565337411928e+08 2.0375062610179740e+08 5.6859009925930381e+07 +7.6766922307434848e+00 4.0092192142953598e+08 4.0088323637395096e+08 4.0081813061483073e+08 4.0073346709777957e+08 4.0065021377068806e+08 4.0060063894200796e+08 4.0059894492069173e+08 4.0062082978474224e+08 4.0064166628346008e+08 4.0065633851120275e+08 4.0066751033884341e+08 4.0067523540313590e+08 4.0067849027954882e+08 4.0067656621793801e+08 4.0066892769936806e+08 4.0065475938451988e+08 4.0063312733930445e+08 4.0060306744441885e+08 4.0056347256473672e+08 4.0051296909140694e+08 4.0044990764068496e+08 4.0037217208457118e+08 4.0027614664942920e+08 4.0015545538008875e+08 4.0000680925589079e+08 3.9982929767033601e+08 3.9961750713730568e+08 3.9936446761294395e+08 3.9906239455847883e+08 3.9870204248507184e+08 3.9827231987133545e+08 3.9775988309616762e+08 3.9714866751308507e+08 3.9641934420119530e+08 3.9554871313868958e+08 3.9450896283362913e+08 3.9326692726828337e+08 3.9178330132672387e+08 3.9001200033405703e+08 3.8789966381144339e+08 3.8518057269886887e+08 3.8191431176832086e+08 3.7801171533333027e+08 3.7338304007531321e+08 3.6794608838479471e+08 3.6163732770897138e+08 3.5442526021691704e+08 3.4632407546854097e+08 3.3740480296199507e+08 3.2779785612676936e+08 3.1768669626092768e+08 3.0730139371801382e+08 2.9689696990474838e+08 2.8670379843145871e+08 2.7692044433086312e+08 2.6770427667995477e+08 2.5915546640414733e+08 2.5132716981001163e+08 2.4422889812329364e+08 2.3784980758867276e+08 2.3215048332812774e+08 2.2709278841623488e+08 2.2262226832703599e+08 2.1870012157260883e+08 2.1527527536645907e+08 2.1230218780775800e+08 2.0974584923277006e+08 2.0756317407336849e+08 2.0571166167005002e+08 2.0416159357283416e+08 2.0287172339376619e+08 2.0181563239799389e+08 2.0096026399192211e+08 2.0027909486701074e+08 1.9973382577059814e+08 1.9928604377811369e+08 1.9890974437155443e+08 1.9857869267782483e+08 1.9826473788249105e+08 1.9804205913347432e+08 1.9781705072694337e+08 1.9758739219435367e+08 1.9734682106525773e+08 1.9709863927886793e+08 1.9683548722728723e+08 1.9656737317419332e+08 1.9626869637504244e+08 1.9594905205277190e+08 1.9560255921912616e+08 1.9522462558565882e+08 1.9480967070152390e+08 1.9435140809214643e+08 1.9384057597395560e+08 1.9327942284999096e+08 1.9264502730559605e+08 1.9193376488944679e+08 1.9113531589485955e+08 1.9023857459564096e+08 1.8923208818398020e+08 1.8810436892615148e+08 1.8684249057096645e+08 1.8544934182974303e+08 1.8389888950767487e+08 1.8219716583598700e+08 1.8034810706806889e+08 1.7836621615654242e+08 1.7627616890367374e+08 1.7412493301773712e+08 1.7198219605451989e+08 1.6996351307065439e+08 1.6821128295698240e+08 1.6695157570992506e+08 1.6649819548004845e+08 1.6730789598253256e+08 1.7004466269251138e+08 1.7571472806233326e+08 1.8591084222243026e+08 2.0331884430087960e+08 5.6687077632851869e+07 +7.6816605535177427e+00 4.0050296576842421e+08 4.0046432155173290e+08 4.0039927710479134e+08 4.0031468989797014e+08 4.0023150216410035e+08 4.0018194724547005e+08 4.0018021250568444e+08 4.0020202208204108e+08 4.0022277306043410e+08 4.0023735207096803e+08 4.0024841730604184e+08 4.0025601941456491e+08 4.0025913261155170e+08 4.0025704475625265e+08 4.0024921618111062e+08 4.0023482689090538e+08 4.0021293728967947e+08 4.0018257627837080e+08 4.0014262850850570e+08 4.0009171081470102e+08 4.0002816269254696e+08 3.9994985508188379e+08 3.9985315614609188e+08 3.9973166276501054e+08 3.9958204654381102e+08 3.9940337410730541e+08 3.9919021744496179e+08 3.9893558001125109e+08 3.9863164242543089e+08 3.9826911945921612e+08 3.9783687550297385e+08 3.9732151873602152e+08 3.9670693271322221e+08 3.9597373405601561e+08 3.9509866717010587e+08 3.9405386632560670e+08 3.9280611607815027e+08 3.9131607155986333e+08 3.8953762442528892e+08 3.8741741487385345e+08 3.8468909495553315e+08 3.8141290945044756e+08 3.7749987242569631e+08 3.7286051186683398e+08 3.6741300035040587e+08 3.6109426900549334e+08 3.5387335316293657e+08 3.4576499893835926e+08 3.3684074909172404e+08 3.2723141430804908e+08 3.1712067265683502e+08 3.0673856608180934e+08 2.9633983910115606e+08 2.8615443876145273e+08 2.7638038865244412e+08 2.6717447490678373e+08 2.5863633951464924e+08 2.5081869616970485e+08 2.4373073169429862e+08 2.3736136385261223e+08 2.3167105362601876e+08 2.2662158162105107e+08 2.2215848850142190e+08 2.1824296170943341e+08 2.1482397046063471e+08 2.1185601963550231e+08 2.0930413398946401e+08 2.0712529238994223e+08 2.0527706151232296e+08 2.0372976612550223e+08 2.0244223376926380e+08 2.0138808389096579e+08 2.0053431612705192e+08 1.9985444737228110e+08 1.9931024361298075e+08 1.9886336040599886e+08 1.9848783290107122e+08 1.9815747067889601e+08 1.9784417699150676e+08 1.9762196948627186e+08 1.9739743800968075e+08 1.9716826658850807e+08 1.9692820583851945e+08 1.9668055061406443e+08 1.9641795742807952e+08 1.9615041063315251e+08 1.9585236752122828e+08 1.9553340136151439e+08 1.9518764364085186e+08 1.9481051181167305e+08 1.9439643726030844e+08 1.9393914684708029e+08 1.9342939896456239e+08 1.9286943471541381e+08 1.9223638498183328e+08 1.9152663142580158e+08 1.9072987623087779e+08 1.8983503722846103e+08 1.8883068590434575e+08 1.8770535889303431e+08 1.8644615787360129e+08 1.8505596289876300e+08 1.8350879953464428e+08 1.8181068569896722e+08 1.7996554929611325e+08 1.7798786251421425e+08 1.7590224881317538e+08 1.7375557627284342e+08 1.7161738509639010e+08 1.6960298289865580e+08 1.6785446976154807e+08 1.6659743474127898e+08 1.6614501679763415e+08 1.6695299986559135e+08 1.6968396118050590e+08 1.7534199899300280e+08 1.8551648556349984e+08 2.0288755956137693e+08 5.6515594865130819e+07 +7.6866288762920005e+00 4.0008308772922343e+08 4.0004448069553292e+08 3.9997949772441262e+08 3.9989498797344553e+08 3.9981186592093205e+08 3.9976233117433923e+08 3.9976055585414052e+08 3.9978229023368263e+08 3.9980295582218230e+08 3.9981744179341435e+08 3.9982840066838610e+08 3.9983588011923397e+08 3.9983885200982928e+08 3.9983660082208794e+08 3.9982858275487351e+08 3.9981397317379302e+08 3.9979182684233373e+08 3.9976116570531207e+08 3.9972086622983921e+08 3.9966953572937030e+08 3.9960550261756146e+08 3.9952662495131099e+08 3.9942925489462072e+08 3.9930696227464467e+08 3.9915637945127571e+08 3.9897655035373485e+08 3.9876203252191818e+08 3.9850580302726752e+08 3.9820000779522812e+08 3.9783532203442925e+08 3.9740056624997532e+08 3.9688230065556961e+08 3.9626435727630335e+08 3.9552729858301383e+08 3.9464781375775355e+08 3.9359798322478151e+08 3.9234454254706198e+08 3.9084810758048719e+08 3.8906254681328380e+08 3.8693450164384025e+08 3.8419699915950084e+08 3.8091094212546068e+08 3.7698752477496970e+08 3.7233754654916984e+08 3.6687954997751242e+08 3.6055092911988544e+08 3.5332125109676677e+08 3.4520581655389041e+08 3.3627667891778809e+08 3.2666504318747169e+08 3.1655480124729735e+08 3.0617596410581291e+08 2.9578299764752066e+08 2.8560542149313802e+08 2.7584071788451785e+08 2.6664509088471571e+08 2.5811765489495260e+08 2.5031068254075351e+08 2.4323303773171842e+08 2.3687340109453684e+08 2.3119211052772343e+08 2.2615086502733213e+08 2.2169520104002959e+08 2.1778629542368942e+08 2.1437315969261056e+08 2.1141034572010174e+08 2.0886291285464543e+08 2.0668790447320548e+08 2.0484295463341323e+08 2.0329843138044742e+08 2.0201323617152679e+08 2.0096102668565744e+08 2.0010885879773372e+08 1.9943028964257741e+08 1.9888715045153937e+08 1.9844116524981129e+08 1.9806640888774037e+08 1.9773673540478602e+08 1.9742410208581871e+08 1.9720236528544351e+08 1.9697831018945676e+08 1.9674962531721589e+08 1.9651007435610580e+08 1.9626294508441669e+08 1.9600091011507347e+08 1.9573392993010077e+08 1.9543651977232149e+08 1.9511823099096888e+08 1.9477320753308722e+08 1.9439687658091542e+08 1.9398368134451795e+08 1.9352736200334769e+08 1.9301869710039517e+08 1.9245992035931483e+08 1.9182821488058001e+08 1.9111996844073209e+08 1.9032490508745891e+08 1.8943196618288937e+08 1.8842974747858018e+08 1.8730680994882742e+08 1.8605028316810071e+08 1.8466303855324277e+08 1.8311916034580040e+08 1.8142465217420042e+08 1.7958343360294294e+08 1.7760994609200040e+08 1.7552876081901893e+08 1.7338664635044438e+08 1.7125299570489439e+08 1.6924286935245001e+08 1.6749806889600435e+08 1.6624370301416594e+08 1.6579224624200994e+08 1.6659851385941696e+08 1.6932367648849100e+08 1.7496970064309552e+08 1.8512258461346602e+08 2.0245677321404663e+08 5.6344560777666584e+07 +7.6915971990662584e+00 3.9966229114255220e+08 3.9962372066363466e+08 3.9955879958402002e+08 3.9947436749330145e+08 3.9939131152702790e+08 3.9934179717427552e+08 3.9933998141029793e+08 3.9936164068338323e+08 3.9938222101314080e+08 3.9939661412285048e+08 3.9940746687068951e+08 3.9941482396270984e+08 3.9941765492036158e+08 3.9941524086128145e+08 3.9940703386695832e+08 3.9939220467998117e+08 3.9936980244346869e+08 3.9933884217173046e+08 3.9929819217659307e+08 3.9924645028275108e+08 3.9918193386388928e+08 3.9910248814067352e+08 3.9900444934361041e+08 3.9888136035712940e+08 3.9872981442700607e+08 3.9854883285829633e+08 3.9833295881640631e+08 3.9807514310773981e+08 3.9776749711507505e+08 3.9740065665696150e+08 3.9696339855713964e+08 3.9644223529725581e+08 3.9582094764073962e+08 3.9508004421560043e+08 3.9419615932836795e+08 3.9314131994819140e+08 3.9188221307926929e+08 3.9037941577487588e+08 3.8858677385987800e+08 3.8645093044960195e+08 3.8370429159055769e+08 3.8040841600938517e+08 3.7647467851066869e+08 3.7181415013993752e+08 3.6634574314111924e+08 3.6000731374928808e+08 3.5276895949873811e+08 3.4464653353943044e+08 3.3571259737309927e+08 3.2609874737686104e+08 3.1598908630355179e+08 3.0561359171395779e+08 2.9522644912742901e+08 2.8505674988792247e+08 2.7530143499335706e+08 2.6611612731764200e+08 2.5759941502003738e+08 2.4980313120085698e+08 2.4273581834586775e+08 2.3638592128402087e+08 2.3071365588404661e+08 2.2568064038619295e+08 2.2123240760982570e+08 2.1733012431138888e+08 2.1392284459853759e+08 2.1096516754699913e+08 2.0842218727181596e+08 2.0625101173173138e+08 2.0440934241304451e+08 2.0286759069422665e+08 2.0158473193834001e+08 2.0053446210542941e+08 1.9968389331683138e+08 1.9900662298232815e+08 1.9846454758456680e+08 1.9801945960374632e+08 1.9764547362276128e+08 1.9731648814404634e+08 1.9700451445201844e+08 1.9678324781617790e+08 1.9655966854998824e+08 1.9633146966233873e+08 1.9609242789853764e+08 1.9584582396895900e+08 1.9558434656553236e+08 1.9531793234021363e+08 1.9502115440179950e+08 1.9470354221242484e+08 1.9435925216509756e+08 1.9398372116040215e+08 1.9357140421818337e+08 1.9311605482215357e+08 1.9260847163926029e+08 1.9205088103569883e+08 1.9142051825213593e+08 1.9071377717934155e+08 1.8992040370467946e+08 1.8902936269341964e+08 1.8802927413447204e+08 1.8690872331398290e+08 1.8565486766693962e+08 1.8427056999644262e+08 1.8272997313446593e+08 1.8103906644380608e+08 1.7920176115906274e+08 1.7723246804735699e+08 1.7515570606496033e+08 1.7301814438037053e+08 1.7088902899592969e+08 1.6888317353516316e+08 1.6714208145231119e+08 1.6589038161199245e+08 1.6543988489357600e+08 1.6624443904983550e+08 1.6896380971995363e+08 1.7459783415282133e+08 1.8472914057901078e+08 2.0202648657802880e+08 5.6173974525278434e+07 +7.6965655218405162e+00 3.9924058112037098e+08 3.9920204771407062e+08 3.9913718925379193e+08 3.9905283481695849e+08 3.9896984547030228e+08 3.9892035167795742e+08 3.9891849560486370e+08 3.9894007986212462e+08 3.9896057506322521e+08 3.9897487549005491e+08 3.9898562234348768e+08 3.9899285737669170e+08 3.9899554777498418e+08 3.9899297130658513e+08 3.9898457594979364e+08 3.9896952784226573e+08 3.9894687052665848e+08 3.9891561211157733e+08 3.9887461278186828e+08 3.9882246090899366e+08 3.9875746286554456e+08 3.9867745108400482e+08 3.9857874592658269e+08 3.9845486344656110e+08 3.9830235790497363e+08 3.9812022805442226e+08 3.9790300276157576e+08 3.9764360668660235e+08 3.9733411681690490e+08 3.9696512975829726e+08 3.9652537885368425e+08 3.9600132908771741e+08 3.9537671023006308e+08 3.9463197737262976e+08 3.9374371029345691e+08 3.9268388289781266e+08 3.9141913406336951e+08 3.8991000251267564e+08 3.8811031190935135e+08 3.8596670760243660e+08 3.8321097851145172e+08 3.7990533729902160e+08 3.7596133974372023e+08 3.7129032863792926e+08 3.6581158569660228e+08 3.5946342856963575e+08 3.5221648382767791e+08 3.4408715509818053e+08 3.3514850936843181e+08 3.2553253146575111e+08 3.1542353207527000e+08 3.0505145280989480e+08 2.9467019710543346e+08 2.8450842718942869e+08 2.7476254292833263e+08 2.6558758689204854e+08 2.5708162234815806e+08 2.4929604441294807e+08 2.4223907563319954e+08 2.3589892637705845e+08 2.3023569153264943e+08 2.2521090943562153e+08 2.2077010986514658e+08 2.1687444995597437e+08 2.1347302670247862e+08 2.1052048659043849e+08 2.0798195867309347e+08 2.0581461556309542e+08 2.0397622622011361e+08 2.0243724541217661e+08 2.0115672239660543e+08 2.0010839146282747e+08 1.9925942098577484e+08 1.9858344868527260e+08 1.9804243629980361e+08 1.9759824475143364e+08 1.9722502838623890e+08 1.9689673017476839e+08 1.9658541536589220e+08 1.9636461835256273e+08 1.9614151436401060e+08 1.9591380089549255e+08 1.9567526773567134e+08 1.9542918853594252e+08 1.9516826804594502e+08 1.9490241912863711e+08 1.9460627267267022e+08 1.9428933628690970e+08 1.9394577879542091e+08 1.9357104680613902e+08 1.9315960713497704e+08 1.9270522655394831e+08 1.9219872382845080e+08 1.9164231798839796e+08 1.9101329633602971e+08 1.9030805887698597e+08 1.8951637331261390e+08 1.8862722798424774e+08 1.8762926708986869e+08 1.8651110019892022e+08 1.8525991257224315e+08 1.8387855842163444e+08 1.8234123908388939e+08 1.8065392968001434e+08 1.7882053312469611e+08 1.7685542952801046e+08 1.7478308568529734e+08 1.7265007148300499e+08 1.7052548607599965e+08 1.6852389654019397e+08 1.6678650851254410e+08 1.6553747160898903e+08 1.6508793382365152e+08 1.6589077651327199e+08 1.6860436196897981e+08 1.7422640065298039e+08 1.8433615465627059e+08 2.0159670096153736e+08 5.6003835262716860e+07 +7.7015338446147741e+00 3.9881796651360345e+08 3.9877947114215094e+08 3.9871467443742639e+08 3.9863039646019185e+08 3.9854747421176791e+08 3.9849800110377818e+08 3.9849610485454106e+08 3.9851761418554050e+08 3.9853802438774467e+08 3.9855223231190020e+08 3.9856287350467420e+08 3.9856998677828932e+08 3.9857253699122822e+08 3.9856979857598507e+08 3.9856121542225844e+08 3.9854594907954139e+08 3.9852303751147890e+08 3.9849148194380385e+08 3.9845013446571440e+08 3.9839757402756035e+08 3.9833209604214638e+08 3.9825152020144421e+08 3.9815215106401336e+08 3.9802747796314645e+08 3.9787401630432677e+08 3.9769074236239487e+08 3.9747217077692115e+08 3.9721120018173361e+08 3.9689987331890714e+08 3.9652874775489968e+08 3.9608651355477768e+08 3.9555958843937445e+08 3.9493165145323527e+08 3.9418310445723450e+08 3.9329047304892033e+08 3.9222567845883739e+08 3.9095531187117153e+08 3.8943987414688671e+08 3.8763316728979504e+08 3.8548183939580506e+08 3.8271706616683573e+08 3.7940171217347521e+08 3.7544751456613964e+08 3.7076608802212071e+08 3.6527708347842270e+08 3.5891927923681098e+08 3.5166382952194303e+08 3.4352768641171414e+08 3.3458441979375368e+08 3.2496640002347648e+08 3.1485814279214817e+08 3.0448955127754331e+08 2.9411424512575769e+08 2.8396045662119037e+08 2.7422404461990076e+08 2.6505947227795357e+08 2.5656427932144433e+08 2.4878942442346236e+08 2.4174281167513573e+08 2.3541241831514502e+08 2.2975821929745853e+08 2.2474167390048876e+08 2.2030830944733447e+08 2.1641927392838460e+08 2.1302370751611835e+08 2.1007630431232500e+08 2.0754222847898236e+08 2.0537871735272661e+08 2.0354360741161674e+08 2.0200739686862850e+08 2.0072920886210462e+08 1.9968281605962619e+08 1.9883544309489861e+08 1.9816076803338203e+08 1.9762081787387782e+08 1.9717752196525604e+08 1.9680507444792995e+08 1.9647746276383781e+08 1.9616680609227076e+08 1.9594647815826356e+08 1.9572384889357528e+08 1.9549662027698907e+08 1.9525859512640372e+08 1.9501304004287931e+08 1.9475267581207559e+08 1.9448739154896238e+08 1.9419187583706266e+08 1.9387561446430916e+08 1.9353278867194659e+08 1.9315885476361129e+08 1.9274829133753300e+08 1.9229487843862677e+08 1.9178945490468019e+08 1.9123423245048332e+08 1.9060655036121842e+08 1.8990281475784200e+08 1.8911281513069648e+08 1.8822556326897818e+08 1.8722972755180919e+08 1.8611394180386844e+08 1.8486541907618347e+08 1.8348700501205990e+08 1.8195295936739686e+08 1.8026924304541487e+08 1.7843975065064740e+08 1.7647883167182133e+08 1.7441090080460033e+08 1.7228242876914713e+08 1.7016236804247871e+08 1.6816503945213884e+08 1.6643135114981240e+08 1.6518497407029089e+08 1.6473639409446469e+08 1.6553752731728491e+08 1.6824533432057086e+08 1.7385540126446101e+08 1.8394362803149304e+08 2.0116741766178104e+08 5.5834142144674249e+07 +7.7065021673890319e+00 3.9839444832406878e+08 3.9835599506018758e+08 3.9829125996337229e+08 3.9820705903244698e+08 3.9812420416001672e+08 3.9807475185653245e+08 3.9807281556164736e+08 3.9809425005606097e+08 3.9811457538926071e+08 3.9812869099101156e+08 3.9813922675706190e+08 3.9814621857115322e+08 3.9814862897329116e+08 3.9814572907351434e+08 3.9813695868839526e+08 3.9812147479646039e+08 3.9809830980187571e+08 3.9806645807377476e+08 3.9802476363300288e+08 3.9797179604384112e+08 3.9790583979928052e+08 3.9782470189860201e+08 3.9772467116140038e+08 3.9759921031228763e+08 3.9744479603114694e+08 3.9726038218655425e+08 3.9704046926734447e+08 3.9677792999795228e+08 3.9646477302449602e+08 3.9609151704822886e+08 3.9564680906007230e+08 3.9511701974876070e+08 3.9448577770227724e+08 3.9373343185655349e+08 3.9283645397491884e+08 3.9176671300180829e+08 3.9049075285793531e+08 3.8896903701413620e+08 3.8715534631170958e+08 3.8499633210580933e+08 3.8222256078295660e+08 3.7889754679292440e+08 3.7493320905044162e+08 3.7024143425152314e+08 3.6474224230190730e+08 3.5837487138583207e+08 3.5111100199843568e+08 3.4296813264112711e+08 3.3402033351795453e+08 3.2440035759737474e+08 3.1429292266233021e+08 3.0392789097968167e+08 2.9355859671389061e+08 2.8341284138912326e+08 2.7368594298145729e+08 2.6453178612781191e+08 2.5604738836568764e+08 2.4828327346433842e+08 2.4124702853809449e+08 2.3492639902560490e+08 2.2928124098886544e+08 2.2427293549274713e+08 2.1984700798520070e+08 2.1596459778766677e+08 2.1257488853925392e+08 2.0963262216278514e+08 2.0710299809818196e+08 2.0494331847515532e+08 2.0311148733390257e+08 2.0157804638645774e+08 2.0030219263960278e+08 1.9925773718569613e+08 1.9841196092407748e+08 1.9773858229864785e+08 1.9719969357280999e+08 1.9675729250716543e+08 1.9638561306655148e+08 1.9605868716791427e+08 1.9574868788558930e+08 1.9552882848599479e+08 1.9530667339027035e+08 1.9507992905709216e+08 1.9484241131939313e+08 1.9459737973641446e+08 1.9433757110935017e+08 1.9407285084526092e+08 1.9377796513658360e+08 1.9346237798440462e+08 1.9312028303209746e+08 1.9274714626797357e+08 1.9233745805835515e+08 1.9188501170574588e+08 1.9138066609408811e+08 1.9082662564455837e+08 1.9020028154629821e+08 1.8949804603625804e+08 1.8870973036774275e+08 1.8782436975091979e+08 1.8683065671750584e+08 1.8571724931849828e+08 1.8447138836079443e+08 1.8309591094071850e+08 1.8156513514800599e+08 1.7988500769250527e+08 1.7805941487772623e+08 1.7610267560728836e+08 1.7403915253805441e+08 1.7191521734045905e+08 1.6979967598335755e+08 1.6780660334607476e+08 1.6607661042835236e+08 1.6483289005191365e+08 1.6438526675941283e+08 1.6518469252005205e+08 1.6788672785034847e+08 1.7348483709879237e+08 1.8355156188046294e+08 2.0073863796495950e+08 5.5664894325796016e+07 +7.7114704901632898e+00 3.9797004045893884e+08 3.9793162187960434e+08 3.9786695230974352e+08 3.9778282905362374e+08 3.9770004167369169e+08 3.9765061032678372e+08 3.9764863411367154e+08 3.9766999386229742e+08 3.9769023445530927e+08 3.9770425791593587e+08 3.9771468848952025e+08 3.9772155914483207e+08 3.9772383011105913e+08 3.9772076918949062e+08 3.9771181213882059e+08 3.9769611138394517e+08 3.9767269378938907e+08 3.9764054689259076e+08 3.9759850667513835e+08 3.9754513334964722e+08 3.9747870052853978e+08 3.9739700256663442e+08 3.9729631261058736e+08 3.9717006688519728e+08 3.9701470347639155e+08 3.9682915391870540e+08 3.9660790462307245e+08 3.9634380252457291e+08 3.9602882232179415e+08 3.9565344402577555e+08 3.9520627175438917e+08 3.9467362939829361e+08 3.9403909535578126e+08 3.9328296594343328e+08 3.9238165943585217e+08 3.9130699287981004e+08 3.9002546336343980e+08 3.8849749743414128e+08 3.8667685526889330e+08 3.8451019199189377e+08 3.8172746856882465e+08 3.7839284729901314e+08 3.7441842925068480e+08 3.6971637326583976e+08 3.6420706796146607e+08 3.5783021063086939e+08 3.5055800665325165e+08 3.4240849892502522e+08 3.3345625538785541e+08 3.2383440871421635e+08 3.1372787587353194e+08 3.0336647575956267e+08 2.9300325537510252e+08 2.8286558467972904e+08 2.7314824090806109e+08 2.6400453107771540e+08 2.5553095189090413e+08 2.4777759375167885e+08 2.4075172827424905e+08 2.3444087042221987e+08 2.2880475840368015e+08 2.2380469591096973e+08 2.1938620709464553e+08 2.1551042308002326e+08 2.1212657125977582e+08 2.0918944158060756e+08 2.0666426892786756e+08 2.0450842029338524e+08 2.0267986732124624e+08 2.0114919527763018e+08 1.9987567502282169e+08 1.9883315612088156e+08 1.9798897574180838e+08 1.9731689274198666e+08 1.9677906465169284e+08 1.9633755762801385e+08 1.9596664548990846e+08 1.9564040463221306e+08 1.9533106198932970e+08 1.9511167057796544e+08 1.9488998909452313e+08 1.9466372847485927e+08 1.9442671755208844e+08 1.9418220885298884e+08 1.9392295517199796e+08 1.9365879824977577e+08 1.9336454180207279e+08 1.9304962807606575e+08 1.9270826310267344e+08 1.9233592254322138e+08 1.9192710851924843e+08 1.9147562757427654e+08 1.9097235861264619e+08 1.9041949878287306e+08 1.8979449109955183e+08 1.8909375391603473e+08 1.8830712022286189e+08 1.8742364862340543e+08 1.8643205577367425e+08 1.8532102392264938e+08 1.8407782159785762e+08 1.8270527737069130e+08 1.8117776757937729e+08 1.7950122476394382e+08 1.7767952693696338e+08 1.7572696245285162e+08 1.7366784199107364e+08 1.7154843828888997e+08 1.6943741097722346e+08 1.6744858928791231e+08 1.6572228740299413e+08 1.6448122060098505e+08 1.6403455286244628e+08 1.6483227317094785e+08 1.6752854362477523e+08 1.7311470925813827e+08 1.8315995736960015e+08 2.0031036314602086e+08 5.5496090960691057e+07 +7.7164388129375476e+00 3.9754474655803466e+08 3.9750636436850089e+08 3.9744175793450445e+08 3.9735771284635586e+08 3.9727499308641130e+08 3.9722558289231825e+08 3.9722356688430774e+08 3.9724485197782737e+08 3.9726500795927823e+08 3.9727893946103370e+08 3.9728926507751065e+08 3.9729601487471455e+08 3.9729814677959663e+08 3.9729492530009228e+08 3.9728578214981884e+08 3.9726986521819401e+08 3.9724619585078877e+08 3.9721375477707833e+08 3.9717136996950102e+08 3.9711759232178730e+08 3.9705068460711658e+08 3.9696842858356768e+08 3.9686708178809899e+08 3.9674005405932772e+08 3.9658374501659566e+08 3.9639706393397719e+08 3.9617448321964741e+08 3.9590882413660419e+08 3.9559202758476448e+08 3.9521453505984879e+08 3.9476490800799870e+08 3.9422942375484848e+08 3.9359161077626306e+08 3.9283171307451087e+08 3.9192609578029722e+08 3.9084652443105435e+08 3.8955944971072483e+08 3.8802526171022117e+08 3.8619770043777251e+08 3.8402342529474032e+08 3.8123179571511781e+08 3.7788761981536019e+08 3.7390318120138299e+08 3.6919091098523635e+08 3.6367156623198158e+08 3.5728530256573576e+08 3.5000484886135703e+08 3.4184879038243842e+08 3.3289219022970510e+08 3.2326855787968898e+08 3.1316300659325862e+08 3.0280530944014359e+08 2.9244822459569526e+08 2.8231868966151524e+08 2.7261094127718765e+08 2.6347770974617395e+08 2.5501497229086849e+08 2.4727238748629960e+08 2.4025691292105746e+08 2.3395583440420076e+08 2.2832877332555079e+08 2.2333695684083182e+08 2.1892590837927333e+08 2.1505675133969688e+08 2.1167875715355003e+08 2.0874676399237865e+08 2.0622604235382602e+08 2.0407402415898252e+08 2.0224874869764945e+08 2.0072084484276748e+08 1.9944965729440111e+08 1.9840907413369292e+08 1.9756648880612803e+08 1.9689570061323056e+08 1.9635893235480550e+08 1.9591831856829563e+08 1.9554817295559654e+08 1.9522261639193729e+08 1.9491392963612735e+08 1.9469500566540751e+08 1.9447379723647249e+08 1.9424801975877449e+08 1.9401151505185992e+08 1.9376752861788720e+08 1.9350882922399157e+08 1.9324523498507366e+08 1.9295160705392051e+08 1.9263736595764253e+08 1.9229673009978843e+08 1.9192518480373669e+08 1.9151724393137833e+08 1.9106672725270322e+08 1.9056453366542429e+08 1.9001285306719244e+08 1.8938918021881530e+08 1.8868993959044960e+08 1.8790498588419768e+08 1.8702340106920913e+08 1.8603392589702258e+08 1.8492526678600240e+08 1.8368471994894186e+08 1.8231510545520419e+08 1.8079085780480462e+08 1.7911789539253625e+08 1.7730008794979477e+08 1.7535169331770670e+08 1.7329697025974500e+08 1.7118209269720152e+08 1.6907557409351453e+08 1.6709099833448318e+08 1.6536838311979559e+08 1.6412996675551862e+08 1.6368425343915895e+08 1.6448027031045812e+08 1.6717078270117509e+08 1.7274501883501944e+08 1.8276881565437701e+08 1.9988259446933597e+08 5.5327731203942612e+07 +7.7214071357118055e+00 3.9711856840094364e+08 3.9708022806147712e+08 3.9701568287772453e+08 3.9693171667171955e+08 3.9684906473742205e+08 3.9679967591638017e+08 3.9679762023089421e+08 3.9681883076293474e+08 3.9683890226090729e+08 3.9685274198697811e+08 3.9686296288150102e+08 3.9686959212172085e+08 3.9687158534117639e+08 3.9686820376676798e+08 3.9685887508335745e+08 3.9684274266159111e+08 3.9681882234837246e+08 3.9678608809032011e+08 3.9674335987864977e+08 3.9668917932370526e+08 3.9662179839819485e+08 3.9653898631169152e+08 3.9643698505708462e+08 3.9630917819679999e+08 3.9615192701441008e+08 3.9596411859497410e+08 3.9574021141870356e+08 3.9547300119433308e+08 3.9515439517258590e+08 3.9477479650729269e+08 3.9432272417531478e+08 3.9378440916988719e+08 3.9314333031103110e+08 3.9237967959068155e+08 3.9146976934141880e+08 3.9038531397731000e+08 3.8909271820635056e+08 3.8755233612910855e+08 3.8571788807858706e+08 3.8353603823858374e+08 3.8073554839458615e+08 3.7738187044652903e+08 3.7338747091832691e+08 3.6866505331039047e+08 3.6313574286691439e+08 3.5674015276391000e+08 3.4945153397716105e+08 3.4128901210947400e+08 3.3232814284835392e+08 3.2270280957823908e+08 3.1259831896741492e+08 3.0224439582437694e+08 2.9189350784228170e+08 2.8177215948401695e+08 2.7207404694896656e+08 2.6295132473578143e+08 2.5449945194360450e+08 2.4676765685436869e+08 2.3976258450093895e+08 2.3347129285724095e+08 2.2785328752396840e+08 2.2286971995506838e+08 2.1846611342999500e+08 2.1460358408853456e+08 2.1123144768413681e+08 2.0830459081310028e+08 2.0578831975012824e+08 2.0364013141211379e+08 2.0181813277539596e+08 2.0029299637211689e+08 1.9902414072613752e+08 1.9798549248187307e+08 1.9714450136411560e+08 1.9647500715173867e+08 1.9593929791587490e+08 1.9549957655750385e+08 1.9513019668999782e+08 1.9480532367116058e+08 1.9449729204834762e+08 1.9427883496923852e+08 1.9405809903543159e+08 1.9383280412686434e+08 1.9359680503493276e+08 1.9335334024621385e+08 1.9309519447891873e+08 1.9283216226266134e+08 1.9253916210206625e+08 1.9222559283683249e+08 1.9188568522939813e+08 1.9151493425265667e+08 1.9110786549572182e+08 1.9065831193883577e+08 1.9015719244744515e+08 1.8960668968885171e+08 1.8898435009153491e+08 1.8828660424254555e+08 1.8750332853020394e+08 1.8662362826101243e+08 1.8563626825393540e+08 1.8452997906805846e+08 1.8329208456609309e+08 1.8192539633720148e+08 1.8040440695804638e+08 1.7873502070150554e+08 1.7692109902780178e+08 1.7497686930124119e+08 1.7292653843087977e+08 1.7081618163873544e+08 1.6871416639234179e+08 1.6673383153333202e+08 1.6501489861547744e+08 1.6377912954483214e+08 1.6333436951569179e+08 1.6412868496976236e+08 1.6681344612789467e+08 1.7237576691256955e+08 1.8237813788127080e+08 1.9945533318799889e+08 5.5159814210119039e+07 +7.7263754584860633e+00 3.9669152163174295e+08 3.9665321574553961e+08 3.9658873444215274e+08 3.9650484674357158e+08 3.9642226298011315e+08 3.9637289575002944e+08 3.9637080049719375e+08 3.9639193656325799e+08 3.9641192370546800e+08 3.9642567183933091e+08 3.9643578824830461e+08 3.9644229723316580e+08 3.9644415214302236e+08 3.9644061093740374e+08 3.9643109728761220e+08 3.9641475006287044e+08 3.9639057963070256e+08 3.9635755318015856e+08 3.9631448275126183e+08 3.9625990070324546e+08 3.9619204825036591e+08 3.9610868210023147e+08 3.9600602876658863e+08 3.9587744564613366e+08 3.9571925581739032e+08 3.9553032424915427e+08 3.9530509556686366e+08 3.9503634004377538e+08 3.9471593142955822e+08 3.9433423471101838e+08 3.9387972659709907e+08 3.9333859198042148e+08 3.9269426029213625e+08 3.9192687181795084e+08 3.9101268643678349e+08 3.8992336782481873e+08 3.8862527514148998e+08 3.8707872696063131e+08 3.8523742443361354e+08 3.8304803702969718e+08 3.8023873276193368e+08 3.7687560527899510e+08 3.7287130439803702e+08 3.6813880612194979e+08 3.6259960360154998e+08 3.5619476677785748e+08 3.4889806733384997e+08 3.4072916918259841e+08 3.3176411802736247e+08 3.2213716827318466e+08 3.1203381712178516e+08 3.0168373869481111e+08 2.9133910856251043e+08 2.8122599727848959e+08 2.7153756076527160e+08 2.6242537863164335e+08 2.5398439321082771e+08 2.4626340402593499e+08 2.3926874502266788e+08 2.3298724765295297e+08 2.2737830275587800e+08 2.2240298691383991e+08 2.1800682382508025e+08 2.1415092283638835e+08 2.1078464430380538e+08 2.0786292344624478e+08 2.0535110247971532e+08 2.0320674338198298e+08 2.0138802085570475e+08 1.9986565114394674e+08 1.9859912657883948e+08 1.9756241241241688e+08 1.9672301465224749e+08 1.9605481358604488e+08 1.9552016255768862e+08 1.9508133281448737e+08 1.9471271790910435e+08 1.9438852768370175e+08 1.9408115043753091e+08 1.9386315969973445e+08 1.9364289570035100e+08 1.9341808278671896e+08 1.9318258870741212e+08 1.9293964494233766e+08 1.9268205213929147e+08 1.9241958128381896e+08 1.9212720814571312e+08 1.9181430991144344e+08 1.9147512968652451e+08 1.9110517208305418e+08 1.9069897440271011e+08 1.9025038282053047e+08 1.8975033614317882e+08 1.8920100982880566e+08 1.8858000189495069e+08 1.8788374904549801e+08 1.8710214932863370e+08 1.8622433136130720e+08 1.8523908400089973e+08 1.8413516191839600e+08 1.8289991659110203e+08 1.8153615115009788e+08 1.8001841616259912e+08 1.7835260180417758e+08 1.7654256127335641e+08 1.7460249149361071e+08 1.7255654758145586e+08 1.7045070617742169e+08 1.6835318892463344e+08 1.6637708992311493e+08 1.6466183491809514e+08 1.6342870998899180e+08 1.6298490210952455e+08 1.6377751817124784e+08 1.6645653494381332e+08 1.7200695456462994e+08 1.8198792518618271e+08 1.9902858054462558e+08 5.4992339133784167e+07 +7.7313437812603212e+00 3.9626360269090152e+08 3.9622533532349098e+08 3.9616091785635000e+08 3.9607710934332806e+08 3.9599459417205691e+08 3.9594524872786915e+08 3.9594311401218617e+08 3.9596417571032196e+08 3.9598407862450349e+08 3.9599773535064608e+08 3.9600774751062393e+08 3.9601413654202932e+08 3.9601585351776034e+08 3.9601215314571130e+08 3.9600245509620923e+08 3.9598589375547278e+08 3.9596147403197730e+08 3.9592815638177919e+08 3.9588474492174178e+08 3.9582976279567325e+08 3.9576144049806452e+08 3.9567752228308856e+08 3.9557421925024873e+08 3.9544486274135923e+08 3.9528573775938183e+08 3.9509568722908878e+08 3.9486914199581277e+08 3.9459884701578504e+08 3.9427664268546432e+08 3.9389285599873257e+08 3.9343592159803903e+08 3.9289197850761801e+08 3.9224440703597492e+08 3.9147329606657892e+08 3.9055485336713630e+08 3.8946069226247686e+08 3.8815712678931552e+08 3.8660444045818567e+08 3.8475631572824854e+08 3.8255942785710251e+08 3.7974135495418531e+08 3.7636883038042569e+08 3.7235468761821938e+08 3.6761217528086281e+08 3.6206315414972162e+08 3.5564915013994420e+08 3.4834445424336958e+08 3.4016926665630215e+08 3.3120012052921897e+08 3.2157163840732211e+08 3.1146950516152966e+08 3.0112334181410784e+08 2.9078503018456209e+08 2.8068020615757334e+08 2.7100148555090511e+08 2.6189987400213116e+08 2.5346979843832228e+08 2.4575963115631974e+08 2.3877539648008260e+08 2.3250370064881608e+08 2.2690382076458621e+08 2.2193675936373180e+08 2.1754804113052413e+08 2.1369876908087620e+08 2.1033834845247096e+08 2.0742176328357419e+08 2.0491439189375210e+08 2.0277386138635361e+08 2.0095841422883266e+08 1.9943881042616659e+08 1.9817461610244834e+08 1.9713983516125575e+08 1.9630202989583132e+08 1.9563512113406718e+08 1.9510152749275190e+08 1.9466358854764736e+08 1.9429573781835455e+08 1.9397222963236547e+08 1.9366550600470731e+08 1.9344798105646744e+08 1.9322818842941388e+08 1.9300385693495327e+08 1.9276886726465973e+08 1.9252644390021732e+08 1.9226940339781776e+08 1.9200749323919410e+08 1.9171574637396619e+08 1.9140351836800370e+08 1.9106506465619099e+08 1.9069589947744229e+08 1.9029057183241343e+08 1.8984294107503372e+08 1.8934396592697492e+08 1.8879581465825456e+08 1.8817613679621997e+08 1.8748137516181397e+08 1.8670144943746361e+08 1.8582551152260154e+08 1.8484237428414375e+08 1.8374081647624129e+08 1.8250821715558630e+08 1.8114737101711416e+08 1.7963288653263208e+08 1.7797063980421719e+08 1.7616447577852002e+08 1.7422856097503805e+08 1.7218699877945119e+08 1.7008566736830136e+08 1.6799264273227394e+08 1.6602077453370064e+08 1.6430919304649615e+08 1.6307870909929353e+08 1.6263585222937170e+08 1.6342677092842105e+08 1.6610005017918873e+08 1.7163858285554558e+08 1.8159817869520015e+08 1.9860233777060860e+08 5.4825305129507922e+07 +7.7363121040345790e+00 3.9583482349857062e+08 3.9579659576302069e+08 3.9573224107080662e+08 3.9564851085443181e+08 3.9556606465117735e+08 3.9551674116929537e+08 3.9551456709110510e+08 3.9553555452108246e+08 3.9555537333476567e+08 3.9556893883826488e+08 3.9557884698671257e+08 3.9558511636629456e+08 3.9558669578492439e+08 3.9558283671070606e+08 3.9557295482869440e+08 3.9555618005921406e+08 3.9553151187178797e+08 3.9549790401458734e+08 3.9545415271020210e+08 3.9539877192070055e+08 3.9532998146129215e+08 3.9524551318069690e+08 3.9514156282789558e+08 3.9501143580166423e+08 3.9485137915889472e+08 3.9466021385297275e+08 3.9443235702351844e+08 3.9416052842645979e+08 3.9383653525495011e+08 3.9345066668302977e+08 3.9299131548812193e+08 3.9244457505793238e+08 3.9179377684392840e+08 3.9101895863092351e+08 3.9009627641863847e+08 3.8899729356478208e+08 3.8768827940805835e+08 3.8612948285812533e+08 3.8427456817085904e+08 3.8207021689220536e+08 3.7924342109032631e+08 3.7586155180070657e+08 3.7183762653726792e+08 3.6708516662967044e+08 3.6152640020533895e+08 3.5510330836102736e+08 3.4779069999756908e+08 3.3960930956421864e+08 3.3063615509517395e+08 3.2100622440225017e+08 3.1090538717138654e+08 3.0056320892539048e+08 2.9023127611739731e+08 2.8013478921543044e+08 2.7046582411270738e+08 2.6137481339964801e+08 2.5295566995649615e+08 2.4525634038629237e+08 2.3828254085231420e+08 2.3202065368893921e+08 2.2642984327965799e+08 2.2147103893899277e+08 2.1708976689958486e+08 2.1324712430741003e+08 2.0989256155849996e+08 2.0698111170518780e+08 2.0447818933237830e+08 2.0234148673180097e+08 2.0052931417389500e+08 1.9901247547578111e+08 1.9775061053629193e+08 1.9671776195386592e+08 1.9588154831000602e+08 1.9521593100291356e+08 1.9468339392252630e+08 1.9424634495474023e+08 1.9387925761254874e+08 1.9355643070980012e+08 1.9325035994039330e+08 1.9303330022856262e+08 1.9281397841025665e+08 1.9259012775824520e+08 1.9235564189173296e+08 1.9211373830341253e+08 1.9185724943614253e+08 1.9159589930916965e+08 1.9130477796510813e+08 1.9099321938334307e+08 1.9065549131280747e+08 1.9028711760803783e+08 1.8988265895448807e+08 1.8943598786922202e+08 1.8893808296249709e+08 1.8839110533735949e+08 1.8777275595158172e+08 1.8707948374368247e+08 1.8630123000425786e+08 1.8542716988708726e+08 1.8444614023976937e+08 1.8334694387110913e+08 1.8211698738164598e+08 1.8075905705173284e+08 1.7924781917237967e+08 1.7758913579553777e+08 1.7578684362652797e+08 1.7385507881664762e+08 1.7181789308306292e+08 1.6972106625665390e+08 1.6763252884792101e+08 1.6566488638517618e+08 1.6395697401064733e+08 1.6272912787811717e+08 1.6228722087479478e+08 1.6307644424596664e+08 1.6574399285477570e+08 1.7127065284031594e+08 1.8120889952471107e+08 1.9817660608679241e+08 5.4658711351876900e+07 +7.7412804268088369e+00 3.9540518860527241e+08 3.9536700022788447e+08 3.9530270996249998e+08 3.9521905772496748e+08 3.9513668072671372e+08 3.9508737937659878e+08 3.9508516603462845e+08 3.9510607929797632e+08 3.9512581413964468e+08 3.9513928860579836e+08 3.9514909298068088e+08 3.9515524301099759e+08 3.9515668524918121e+08 3.9515266793745321e+08 3.9514260279030353e+08 3.9512561527986056e+08 3.9510069945598841e+08 3.9506680238450325e+08 3.9502271242228901e+08 3.9496693438427919e+08 3.9489767744565201e+08 3.9481266109789038e+08 3.9470806580508292e+08 3.9457717113210708e+08 3.9441618632028842e+08 3.9422391042490715e+08 3.9399474695248926e+08 3.9372139057771027e+08 3.9339561543805134e+08 3.9300767306181699e+08 3.9254591456223965e+08 3.9199638792224264e+08 3.9134237600212151e+08 3.9056386578999192e+08 3.8963696186106759e+08 3.8853317798878610e+08 3.8721873923904341e+08 3.8565386038039070e+08 3.8379218795303118e+08 3.8158041028883165e+08 3.7874493727080506e+08 3.7535377557003725e+08 3.7132012709493750e+08 3.6655778598996586e+08 3.6098934744246185e+08 3.5455724693268371e+08 3.4723680986681074e+08 3.3904930291901672e+08 3.3007222644583547e+08 3.2044093065870452e+08 3.1034146721549767e+08 3.0000334375143176e+08 2.8967784975079542e+08 2.7958974952838206e+08 2.6993057924056983e+08 2.6085019935891917e+08 2.5244201007924446e+08 2.4475353384064904e+08 2.3779018010446733e+08 2.3153810860336044e+08 2.2595637201806495e+08 2.2100582726084244e+08 2.1663200267353696e+08 2.1279598998936909e+08 2.0944728503819734e+08 2.0654097007995915e+08 2.0404249612413254e+08 2.0190962071372876e+08 2.0010072195896861e+08 1.9858664753887051e+08 1.9732711110860965e+08 1.9629619400484079e+08 1.9546157109879920e+08 1.9479724438919696e+08 1.9426576303821605e+08 1.9382960322278231e+08 1.9346327847592214e+08 1.9314113209798405e+08 1.9283571342458302e+08 1.9261911839457035e+08 1.9240026682047561e+08 1.9217689643231216e+08 1.9194291376309067e+08 1.9170152932482824e+08 1.9144559142587322e+08 1.9118480066329020e+08 1.9089430408714682e+08 1.9058341412355852e+08 1.9024641082049352e+08 1.8987882763663927e+08 1.8947523692842445e+08 1.8902952435984439e+08 1.8853268840368456e+08 1.8798688301646876e+08 1.8736986050798544e+08 1.8667807593356070e+08 1.8590149216666648e+08 1.8502930758681050e+08 1.8405038299410680e+08 1.8295354522259587e+08 1.8172622838103628e+08 1.8037121035784364e+08 1.7886321517606732e+08 1.7720809086253208e+08 1.7540966589048305e+08 1.7348204607994807e+08 1.7144923154155958e+08 1.6935690387885547e+08 1.6727284829509071e+08 1.6530942648917934e+08 1.6360517881172320e+08 1.6237996731921762e+08 1.6193900903668055e+08 1.6272653911943710e+08 1.6538836398289752e+08 1.7090316556485245e+08 1.8082008878124380e+08 1.9775138670330399e+08 5.4492556955504552e+07 +7.7462487495830947e+00 3.9497470587069434e+08 3.9493655668559879e+08 3.9487232969398689e+08 3.9478875629309887e+08 3.9470644867844802e+08 3.9465716963449585e+08 3.9465491713023341e+08 3.9467575632978052e+08 3.9469540732780021e+08 3.9470879094248039e+08 3.9471849178233016e+08 3.9472452276599413e+08 3.9472582820042276e+08 3.9472165311639237e+08 3.9471140527173680e+08 3.9469420570822054e+08 3.9466904307564265e+08 3.9463485778245699e+08 3.9459043034953165e+08 3.9453425647748601e+08 3.9446453474252564e+08 3.9437897232636607e+08 3.9427373447222781e+08 3.9414207502277339e+08 3.9398016553348839e+08 3.9378678323359233e+08 3.9355631807084990e+08 3.9328143975627118e+08 3.9295388951973391e+08 3.9256388141781622e+08 3.9209972510016334e+08 3.9154742337623113e+08 3.9089021078072351e+08 3.9010802380705220e+08 3.8917691594812357e+08 3.8806835177626038e+08 3.8674851250720698e+08 3.8517757922770023e+08 3.8330918124907398e+08 3.8109001418364906e+08 3.7824590957867599e+08 3.7484550770103985e+08 3.7080219521140033e+08 3.6603003916430157e+08 3.6045200151522094e+08 3.5401097132502902e+08 3.4668278910088444e+08 3.3848925171191376e+08 3.2950833928007346e+08 3.1987576155636948e+08 3.0977774933721018e+08 2.9944374999496996e+08 2.8912475445490098e+08 2.7904509015355152e+08 2.6939575370648873e+08 2.6032603439890140e+08 2.5192882110547811e+08 2.4425121362945148e+08 2.3729831618735331e+08 2.3105606720847470e+08 2.2548340868313336e+08 2.2054112593778667e+08 2.1617474998075685e+08 2.1234536758812088e+08 2.0900252029636928e+08 2.0610133976481405e+08 2.0360731358665940e+08 2.0147826461644939e+08 1.9967263884129596e+08 1.9816132785030738e+08 1.9690411903695258e+08 1.9587513251802948e+08 1.9504209945599997e+08 1.9437906247906372e+08 1.9384863602039009e+08 1.9341336452861613e+08 1.9304780158226663e+08 1.9272633496833467e+08 1.9242156762676036e+08 1.9220543672283870e+08 1.9198705482686445e+08 1.9176416412271416e+08 1.9153068404268470e+08 1.9128981812714624e+08 1.9103443052804589e+08 1.9077419846122426e+08 1.9048432589805642e+08 1.9017410374441671e+08 1.8983782433301753e+08 1.8947103071500036e+08 1.8906830690328446e+08 1.8862355169340867e+08 1.8812778339368567e+08 1.8758314883572024e+08 1.8696745160145772e+08 1.8627715286377284e+08 1.8550223705194515e+08 1.8463192574409491e+08 1.8365510366345710e+08 1.8256062164031243e+08 1.8133594125608400e+08 1.7998383202899656e+08 1.7847907562859324e+08 1.7682750607980013e+08 1.7503294363418072e+08 1.7310946381705233e+08 1.7108101519474915e+08 1.6899318126199451e+08 1.6691360208826116e+08 1.6495439584841046e+08 1.6325380844186088e+08 1.6203122840730563e+08 1.6159121769715852e+08 1.6237705653584787e+08 1.6503316456644928e+08 1.7053612206540805e+08 1.8043174756135073e+08 1.9732668081931928e+08 5.4326841095041677e+07 +7.7512170723573526e+00 3.9454337999327987e+08 3.9450526881406546e+08 3.9444110657417834e+08 3.9435761281615204e+08 3.9427537476264352e+08 3.9422611821207052e+08 3.9422382665206313e+08 3.9424459189021480e+08 3.9426415917358488e+08 3.9427745212282908e+08 3.9428704966715258e+08 3.9429296190672332e+08 3.9429413091534102e+08 3.9428979852434778e+08 3.9427936854983491e+08 3.9426195762104493e+08 3.9423654900782949e+08 3.9420207648614079e+08 3.9415731276858383e+08 3.9410074447730756e+08 3.9403055962865227e+08 3.9394445314261067e+08 3.9383857510619974e+08 3.9370615374995261e+08 3.9354332307387030e+08 3.9334883855350488e+08 3.9311707665199971e+08 3.9284068223393250e+08 3.9251136377019787e+08 3.9211929801887518e+08 3.9165275336669940e+08 3.9109768768076944e+08 3.9043728743475860e+08 3.8965143893014413e+08 3.8871614491795880e+08 3.8760282115239090e+08 3.8627760542105854e+08 3.8470064558679235e+08 3.8282555421569294e+08 3.8059903469525468e+08 3.7774634407876390e+08 3.7433675418724918e+08 3.7028383678833425e+08 3.6550193193573147e+08 3.5991436805731988e+08 3.5346448698821962e+08 3.4612864292819655e+08 3.3792916091360265e+08 3.2894449827639753e+08 3.1931072145432973e+08 3.0921423756018513e+08 2.9888443133949518e+08 2.8857199358174706e+08 2.7850081413048762e+08 2.6886135026493299e+08 2.5980232102184191e+08 2.5141610531762394e+08 2.4374938184814319e+08 2.3680695103725961e+08 2.3057453130691472e+08 2.2501095496529293e+08 2.2007693656577936e+08 2.1571801033774841e+08 2.1189525855304432e+08 2.0855826872614792e+08 2.0566222210559854e+08 2.0317264302569506e+08 2.0104741971322739e+08 1.9924506606702706e+08 1.9773651763450435e+08 1.9648163552833372e+08 1.9545457868692970e+08 1.9462313456452784e+08 1.9396138644788441e+08 1.9343201403900066e+08 1.9299763003819427e+08 1.9263282809492898e+08 1.9231204048214614e+08 1.9200792370628795e+08 1.9179225637113205e+08 1.9157434358571649e+08 1.9135193198465821e+08 1.9111895388442761e+08 1.9087860586263111e+08 1.9062376789345029e+08 1.9036409385213155e+08 1.9007484454499549e+08 1.8976528939156806e+08 1.8942973299400085e+08 1.8906372798427787e+08 1.8866187001793671e+08 1.8821807100609088e+08 1.8772336906602761e+08 1.8717990392501342e+08 1.8656553035842347e+08 1.8587671565615860e+08 1.8510346577757075e+08 1.8423502547103286e+08 1.8326030335392407e+08 1.8216817422386965e+08 1.8094612709911934e+08 1.7959692314960292e+08 1.7809540160505092e+08 1.7644738251262441e+08 1.7465667791209379e+08 1.7273733307072493e+08 1.7071324507308996e+08 1.6862989942396429e+08 1.6655479123295400e+08 1.6459979545635390e+08 1.6290286388447517e+08 1.6168291211830571e+08 1.6124384782983959e+08 1.6202799747328225e+08 1.6467839559954631e+08 1.7016952336950946e+08 1.8004387695188913e+08 1.9690248962340072e+08 5.4161562925186612e+07 +7.7561853951316104e+00 3.9411121770081097e+08 3.9407314367916870e+08 3.9400904776114345e+08 3.9392563351948380e+08 3.9384346521346062e+08 3.9379423136272109e+08 3.9379190086063677e+08 3.9381259223908371e+08 3.9383207593788755e+08 3.9384527840762323e+08 3.9385477289638370e+08 3.9386056669505274e+08 3.9386159965541875e+08 3.9385711042321616e+08 3.9384649888647228e+08 3.9382887728070998e+08 3.9380322351461232e+08 3.9376846475743258e+08 3.9372336594242138e+08 3.9366640464639890e+08 3.9359575836663562e+08 3.9350910980868596e+08 3.9340259396833193e+08 3.9326941357460570e+08 3.9310566520163900e+08 3.9291008264443237e+08 3.9267702895472580e+08 3.9239912426819253e+08 3.9206804444488436e+08 3.9167392911764759e+08 3.9120500561111397e+08 3.9064718708072603e+08 3.8998361220368564e+08 3.8919411739086223e+08 3.8825465499285334e+08 3.8713659232642615e+08 3.8580602417238641e+08 3.8422306562687141e+08 3.8234131299306822e+08 3.8010747792476219e+08 3.7724624681781018e+08 3.7382752100431859e+08 3.6976505770745987e+08 3.6497347006755030e+08 3.5937645268232739e+08 3.5291779935164392e+08 3.4557437655699748e+08 3.3736903547324008e+08 3.2838070809179491e+08 3.1874581469077951e+08 3.0865093588674116e+08 2.9832539144834810e+08 2.8801957046366888e+08 2.7795692448028290e+08 2.6832737165337601e+08 2.5927906171308377e+08 2.5090386498289940e+08 2.4324804057680282e+08 2.3631608657639000e+08 2.3009350268787590e+08 2.2453901254152685e+08 2.1961326072788107e+08 2.1526178524841177e+08 2.1144566432158419e+08 2.0811453170895779e+08 2.0522361843648481e+08 2.0273848573624867e+08 2.0061708726637205e+08 1.9881800487150753e+08 1.9731221810507685e+08 1.9605966177882335e+08 1.9503453369407821e+08 1.9420467759676728e+08 1.9354421746065676e+08 1.9301589825376236e+08 1.9258240090734383e+08 1.9221835916682220e+08 1.9189824978994063e+08 1.9159478281149614e+08 1.9137957848682395e+08 1.9116213424316067e+08 1.9094020116293529e+08 1.9070772443173534e+08 1.9046789367314124e+08 1.9021360466236827e+08 1.8995448797490564e+08 1.8966586116523385e+08 1.8935697220026153e+08 1.8902213793672797e+08 1.8865692057565162e+08 1.8825592740116912e+08 1.8781308342366487e+08 1.8731944654362631e+08 1.8677714940415215e+08 1.8616409789488220e+08 1.8547676542282063e+08 1.8470517945089045e+08 1.8383860786984125e+08 1.8286598316195598e+08 1.8177620406296834e+08 1.8055678699262878e+08 1.7921048479414082e+08 1.7771219417085680e+08 1.7606772121666986e+08 1.7428086976909229e+08 1.7236565487427786e+08 1.7034592219793227e+08 1.6826705937392333e+08 1.6619641672552356e+08 1.6424562629761943e+08 1.6255234611413601e+08 1.6133501941964608e+08 1.6089690039906538e+08 1.6167936290117246e+08 1.6432405806745392e+08 1.6980337049501151e+08 1.7965647803014830e+08 1.9647881429366982e+08 5.3996721600695468e+07 +7.7611537179058683e+00 3.9367822471046484e+08 3.9364019042755377e+08 3.9357615865769058e+08 3.9349282459593916e+08 3.9341072624503106e+08 3.9336151532759720e+08 3.9335914600278974e+08 3.9337976362135255e+08 3.9339916386649847e+08 3.9341227604281843e+08 3.9342166771683383e+08 3.9342734337754720e+08 3.9342824066777194e+08 3.9342359506057698e+08 3.9341280252979201e+08 3.9339497093519342e+08 3.9336907284450901e+08 3.9333402884472865e+08 3.9328859611884457e+08 3.9323124323259383e+08 3.9316013720389920e+08 3.9307294857212991e+08 3.9296579730600989e+08 3.9283186074367696e+08 3.9266719816348398e+08 3.9247052175136822e+08 3.9223618122261804e+08 3.9195677210115296e+08 3.9162393778393602e+08 3.9122778095189500e+08 3.9075648806761557e+08 3.9019592780573004e+08 3.8952919131126738e+08 3.8873606540583390e+08 3.8779245237911743e+08 3.8666967149113256e+08 3.8533377493696278e+08 3.8374484550076610e+08 3.8185646370380348e+08 3.7961534995617872e+08 3.7674562382457262e+08 3.7331781410838342e+08 3.6924586383268601e+08 3.6444465930362588e+08 3.5883826098397499e+08 3.5237091382400799e+08 3.4501999517464757e+08 3.3680888032000035e+08 3.2781697336278194e+08 3.1818104558352798e+08 3.0808784829993659e+08 2.9776663396482474e+08 2.8746748841396940e+08 2.7741342420583314e+08 2.6779382059185988e+08 2.5875625894191936e+08 2.5039210235288319e+08 2.4274719188104188e+08 2.3582572471277529e+08 2.2961298312653759e+08 2.2406758307619861e+08 2.1915009999466833e+08 2.1480607620461395e+08 2.1099658631926030e+08 2.0767131061425722e+08 2.0478553008042964e+08 2.0230484300215685e+08 2.0018726852712303e+08 1.9839145647924709e+08 1.9688843046457434e+08 1.9563819897388399e+08 1.9461499871161443e+08 1.9378672971483883e+08 1.9312755667192715e+08 1.9260028981371784e+08 1.9216767828151262e+08 1.9180439594049460e+08 1.9148496403192931e+08 1.9118214608118752e+08 1.9096740420708320e+08 1.9075042793515339e+08 1.9052897279175651e+08 1.9029699681739739e+08 1.9005768269050407e+08 1.8980394196518964e+08 1.8954538195793140e+08 1.8925737688562918e+08 1.8894915329550418e+08 1.8861504028410104e+08 1.8825060960991454e+08 1.8785048017137808e+08 1.8740859006242830e+08 1.8691601693946436e+08 1.8637488638283798e+08 1.8576315531713280e+08 1.8507730326564968e+08 1.8430737916952732e+08 1.8344267403276733e+08 1.8247214417406446e+08 1.8138471223781699e+08 1.8016792200939295e+08 1.7882451802718696e+08 1.7732945438192242e+08 1.7568852323781002e+08 1.7390552024051565e+08 1.7199443025210801e+08 1.6997904758125702e+08 1.6790466211121222e+08 1.6583847955342931e+08 1.6389188934832025e+08 1.6220225609664446e+08 1.6098755126968452e+08 1.6055037636106417e+08 1.6133115377996939e+08 1.6397015294634089e+08 1.6943766445090404e+08 1.7926955186334392e+08 1.9605565599719149e+08 5.3832316276392162e+07 +7.7661220406801261e+00 3.9324440938181889e+08 3.9320641435338712e+08 3.9314244599813557e+08 3.9305919220740783e+08 3.9297716406079334e+08 3.9292797633533591e+08 3.9292556831137437e+08 3.9294611226890695e+08 3.9296542919132698e+08 3.9297845126035309e+08 3.9298774036081868e+08 3.9299329818733764e+08 3.9299406018572551e+08 3.9298925866925836e+08 3.9297828571315604e+08 3.9296024481805950e+08 3.9293410323069805e+08 3.9289877498169470e+08 3.9285300953141695e+08 3.9279526646950412e+08 3.9272370237419468e+08 3.9263597566602373e+08 3.9252819135191929e+08 3.9239350148883665e+08 3.9222792818952829e+08 3.9203016210480666e+08 3.9179453968477672e+08 3.9151363196024984e+08 3.9117905001277846e+08 3.9078085974441820e+08 3.9030720695516628e+08 3.8974391607037520e+08 3.8907403096634173e+08 3.8827728917534077e+08 3.8732954326650947e+08 3.8620206482340258e+08 3.8486086387374812e+08 3.8326599134417307e+08 3.8137101245356506e+08 3.7912265685539103e+08 3.7624448110967177e+08 3.7280763943793583e+08 3.6872626100777000e+08 3.6391550536834973e+08 3.5829979853601766e+08 3.5182383579397303e+08 3.4446550394746172e+08 3.3624870036068493e+08 3.2725329870466739e+08 3.1761641842898411e+08 3.0752497876171607e+08 2.9720816251337969e+08 2.8691575072741580e+08 2.7687031629206866e+08 2.6726069978302813e+08 2.5823391516118908e+08 2.4988081966330796e+08 2.4224683781143269e+08 2.3533586734013262e+08 2.2913297438501996e+08 2.2359666821998331e+08 2.1868745592391142e+08 2.1435088468597886e+08 2.1054802595991141e+08 2.0722860680038396e+08 2.0434795834908608e+08 2.0187171609584007e+08 1.9975796473539567e+08 1.9796542210378638e+08 1.9646515590529886e+08 1.9521724828869876e+08 1.9419597490123010e+08 1.9336929207013562e+08 1.9271140522572255e+08 1.9218518985766599e+08 1.9175346329549351e+08 1.9139093954797241e+08 1.9107218433839908e+08 1.9077001464306149e+08 1.9055573465859586e+08 1.9033922578709301e+08 1.9011824799557737e+08 1.8988677216445568e+08 1.8964797403606495e+08 1.8939478092177540e+08 1.8913677691978514e+08 1.8884939282270876e+08 1.8854183379213998e+08 1.8820844114901027e+08 1.8784479619796154e+08 1.8744552943703261e+08 1.8700459202799860e+08 1.8651308135639203e+08 1.8597311596078953e+08 1.8536270372102296e+08 1.8467833027689680e+08 1.8391006602072647e+08 1.8304722504231527e+08 1.8207878746683061e+08 1.8099369981865963e+08 1.7977953321254247e+08 1.7843902390386355e+08 1.7694718328452554e+08 1.7530978961275631e+08 1.7353063035258511e+08 1.7162366021863684e+08 1.6961262222617763e+08 1.6754270862681189e+08 1.6548098069521469e+08 1.6353858557529721e+08 1.6185259478891012e+08 1.6064050861850727e+08 1.6020427666307041e+08 1.6098337106178293e+08 1.6361668120383602e+08 1.6907240623692441e+08 1.7888309950942355e+08 1.9563301589100510e+08 5.3668346107178718e+07 +7.7710903634543840e+00 3.9280977302495825e+08 3.9277181874551576e+08 3.9270791577222592e+08 3.9262474260749108e+08 3.9254278486574072e+08 3.9249362060411370e+08 3.9249117400560707e+08 3.9251164439778095e+08 3.9253087812986606e+08 3.9254381027752286e+08 3.9255299704638070e+08 3.9255843734199625e+08 3.9255906442727572e+08 3.9255410746831238e+08 3.9254295465500718e+08 3.9252470514815444e+08 3.9249832089273858e+08 3.9246270938711298e+08 3.9241661239928788e+08 3.9235848057596016e+08 3.9228646009568542e+08 3.9219819730928165e+08 3.9208978232405204e+08 3.9195434202799523e+08 3.9178786149722761e+08 3.9158900991993427e+08 3.9135211055541772e+08 3.9106971005797505e+08 3.9073338734163928e+08 3.9033317170202893e+08 3.8985716847815275e+08 3.8929115807375747e+08 3.8861813736166328e+08 3.8781779488441890e+08 3.8686593382981831e+08 3.8573377848392886e+08 3.8438729712524796e+08 3.8278650927614611e+08 3.8088496533053035e+08 3.7862940467097175e+08 3.7574282466597694e+08 3.7229700291245294e+08 3.6820625505813682e+08 3.6338601396597010e+08 3.5776107089200008e+08 3.5127657062991846e+08 3.4391090802105749e+08 3.3568850048237014e+08 3.2668968871156210e+08 3.1705193750333846e+08 3.0696233121393251e+08 2.9664998069803315e+08 2.8636436067925787e+08 2.7632760370562589e+08 2.6672801191276446e+08 2.5771203280740529e+08 2.4937001913443121e+08 2.4174698040375516e+08 2.3484651633828336e+08 2.2865347821143496e+08 2.2312626961121625e+08 2.1822533006107324e+08 2.1389621215983772e+08 2.1009998464492443e+08 2.0678642161398011e+08 2.0391090454254231e+08 2.0143910627884522e+08 1.9932917712070528e+08 1.9753990294801283e+08 1.9604239560837582e+08 1.9479681088746601e+08 1.9377746341387039e+08 1.9295236580378780e+08 1.9229576425577015e+08 1.9177059951405799e+08 1.9133975707396170e+08 1.9097799111121863e+08 1.9065991182879227e+08 1.9035838961527690e+08 1.9014457095793724e+08 1.8992852891423476e+08 1.8970802788824451e+08 1.8947705158558890e+08 1.8923876882100531e+08 1.8898612264183569e+08 1.8872867396867418e+08 1.8844191008322051e+08 1.8813501479497257e+08 1.8780234163438708e+08 1.8743948144026303e+08 1.8704107629638445e+08 1.8660109041578546e+08 1.8611064088734850e+08 1.8557183922754294e+08 1.8496274419252124e+08 1.8427984753834978e+08 1.8351324108202577e+08 1.8265226197075781e+08 1.8168591410712728e+08 1.8060316786584923e+08 1.7939162165530688e+08 1.7805400346991810e+08 1.7656538191527244e+08 1.7493152136867794e+08 1.7315620112199137e+08 1.7125334577961576e+08 1.6924664712637511e+08 1.6718119990215090e+08 1.6512392112057522e+08 1.6318571593674836e+08 1.6150336313943294e+08 1.6029389240723246e+08 1.5985860224357632e+08 1.6063601568971571e+08 1.6326364379863501e+08 1.6870759684356943e+08 1.7849712201633510e+08 1.9521089512112105e+08 5.3504810248045094e+07 +7.7760586862286418e+00 3.9237432827007502e+08 3.9233641298775017e+08 3.9227257518703073e+08 3.9218948218013799e+08 3.9210759487605119e+08 3.9205845434004080e+08 3.9205596928895366e+08 3.9207636621151441e+08 3.9209551688476926e+08 3.9210835929692709e+08 3.9211744397681969e+08 3.9212276704597819e+08 3.9212325959664893e+08 3.9211814766204596e+08 3.9210681555991298e+08 3.9208835813052028e+08 3.9206173203498769e+08 3.9202583826606560e+08 3.9197941092722487e+08 3.9192089175647599e+08 3.9184841657319081e+08 3.9175961970487267e+08 3.9165057642546684e+08 3.9151438856304079e+08 3.9134700428813767e+08 3.9114707139778888e+08 3.9090890003393167e+08 3.9062501259175426e+08 3.9028695596568203e+08 3.8988472301779222e+08 3.8940637882460523e+08 3.8883765999985951e+08 3.8816151667434406e+08 3.8735758870211822e+08 3.8640163022703546e+08 3.8526481861671180e+08 3.8391308081754386e+08 3.8230640539878488e+08 3.8039832840597862e+08 3.7813559943398654e+08 3.7524066046770716e+08 3.7178591043306941e+08 3.6768585178974473e+08 3.6285619078187472e+08 3.5722208358545661e+08 3.5072912367882341e+08 3.4335621252046680e+08 3.3512828555089855e+08 3.2612614795725548e+08 3.1648760706220847e+08 3.0639990957862371e+08 2.9609209210353142e+08 2.8581332152650362e+08 2.7578528939518118e+08 2.6619575964928505e+08 2.5719061430074671e+08 2.4885970297130856e+08 2.4124762167873386e+08 2.3435767357269409e+08 2.2817449634099644e+08 2.2265638887488973e+08 2.1776372393909582e+08 2.1344206008163953e+08 2.0965246376476547e+08 2.0634475638993481e+08 2.0347436994987592e+08 2.0100701480157772e+08 1.9890090690144819e+08 1.9711490020400625e+08 1.9562015074478829e+08 1.9437688792388007e+08 1.9335946539006233e+08 1.9253595204641128e+08 1.9188063488534197e+08 1.9135651990084982e+08 1.9092656073126346e+08 1.9056555174188450e+08 1.9024814761260194e+08 1.8994727210509458e+08 1.8973391421130812e+08 1.8951833842167097e+08 1.8929831357345247e+08 1.8906783618291223e+08 1.8883006814630854e+08 1.8857796822480220e+08 1.8832107420245495e+08 1.8803492976338431e+08 1.8772869739835539e+08 1.8739674283271328e+08 1.8703466642738762e+08 1.8663712183755046e+08 1.8619808631190535e+08 1.8570869661516994e+08 1.8517105726285011e+08 1.8456327780796495e+08 1.8388185612216717e+08 1.8311690542133081e+08 1.8225778588095397e+08 1.8129352515212181e+08 1.8021311743018585e+08 1.7900418838162854e+08 1.7766945776083988e+08 1.7618405130162075e+08 1.7455371952334300e+08 1.7278223355626816e+08 1.7088348793149796e+08 1.6888112326664501e+08 1.6682013691017538e+08 1.6476730179011849e+08 1.6283328138205662e+08 1.6115456208780769e+08 1.5994770356836408e+08 1.5951335403281519e+08 1.6028908859839207e+08 1.6291104168052909e+08 1.6834323725249004e+08 1.7811162042282686e+08 1.9478929482344913e+08 5.3341707854079239e+07 +7.7810270090028997e+00 3.9193807687113172e+08 3.9190020202520221e+08 3.9183642919970649e+08 3.9175341722131056e+08 3.9167160031493622e+08 3.9162248373621547e+08 3.9161996035006440e+08 3.9164028389785731e+08 3.9165935164508712e+08 3.9167210450734514e+08 3.9168108734138525e+08 3.9168629348802292e+08 3.9168665188337386e+08 3.9168138543996322e+08 3.9166987461825418e+08 3.9165120995442384e+08 3.9162434284758651e+08 3.9158816780861610e+08 3.9154141130459535e+08 3.9148250620070899e+08 3.9140957799575979e+08 3.9132024904248440e+08 3.9121057984542018e+08 3.9107364728286684e+08 3.9090536274899286e+08 3.9070435272362846e+08 3.9046491430459452e+08 3.9017954574438649e+08 3.8983976206518596e+08 3.8943551986860013e+08 3.8895484416817009e+08 3.8838342801654929e+08 3.8770417506643081e+08 3.8689667678154588e+08 3.8593663860070056e+08 3.8479519134990364e+08 3.8343822105993325e+08 3.8182568579746693e+08 3.7991110773373467e+08 3.7764124715735698e+08 3.7473799447157031e+08 3.7127436788214791e+08 3.6716505698944950e+08 3.6232604148138851e+08 3.5668284212985033e+08 3.5018150026812667e+08 3.4280142254954553e+08 3.3456806041091359e+08 3.2556268099468857e+08 3.1592343134041429e+08 3.0583771775736237e+08 2.9553450029510558e+08 2.8526263650697380e+08 2.7524337629145974e+08 2.6566394564376459e+08 2.5666966204490033e+08 2.4834987336361220e+08 2.4074876364316782e+08 2.3386934089507812e+08 2.2769603049489316e+08 2.2218702762321454e+08 2.1730263907811275e+08 2.1298842989431867e+08 2.0920546469728374e+08 2.0590361245214400e+08 2.0303835584871176e+08 2.0057544290351516e+08 1.9847315528512323e+08 1.9669041505309737e+08 1.9519842247477588e+08 1.9395748054145494e+08 1.9294198196021804e+08 1.9212005191825628e+08 1.9146601822749972e+08 1.9094295212569705e+08 1.9051387537149623e+08 1.9015362254116502e+08 1.8983689278899160e+08 1.8953666321002346e+08 1.8932376551492068e+08 1.8910865540406516e+08 1.8888910614493915e+08 1.8865912704879865e+08 1.8842187310281265e+08 1.8817031876022986e+08 1.8791397870902404e+08 1.8762845294946691e+08 1.8732288268701106e+08 1.8699164582661176e+08 1.8663035223982990e+08 1.8623366713887140e+08 1.8579558079178894e+08 1.8530724961250463e+08 1.8477077113626227e+08 1.8416430563357422e+08 1.8348435709069982e+08 1.8272106009635076e+08 1.8186379782576558e+08 1.8090162164888611e+08 1.7982354955278128e+08 1.7861723442548907e+08 1.7728538780348116e+08 1.7580319246128795e+08 1.7417638508512089e+08 1.7240872865337858e+08 1.7051408766124460e+08 1.6851605162243286e+08 1.6645952061437634e+08 1.6441112365578300e+08 1.6248128285199058e+08 1.6080619256489468e+08 1.5960194302607092e+08 1.5916853295230106e+08 1.5994259071388620e+08 1.6255887579070219e+08 1.6797932843627167e+08 1.7772659575774470e+08 1.9436821612308982e+08 5.3179038080476925e+07 +7.7859953317771575e+00 3.9150102960310072e+08 3.9146319181467021e+08 3.9139948390344018e+08 3.9131655376639855e+08 3.9123480739190376e+08 3.9118571496923977e+08 3.9118315336280984e+08 3.9120340363096905e+08 3.9122238858466440e+08 3.9123505208263588e+08 3.9124393331412959e+08 3.9124902284260029e+08 3.9124924746220428e+08 3.9124382697740602e+08 3.9123213800471979e+08 3.9121326679583967e+08 3.9118615950557315e+08 3.9114970418956679e+08 3.9110261970716035e+08 3.9104333008390540e+08 3.9096995053854114e+08 3.9088009149640340e+08 3.9076979875755638e+08 3.9063212435987580e+08 3.9046294305248302e+08 3.9026086006941456e+08 3.9002015953697449e+08 3.8973331568347365e+08 3.8939181180551308e+08 3.8898556841658515e+08 3.8850257066638386e+08 3.8792846827655166e+08 3.8724611868360358e+08 3.8643506526022393e+08 3.8547096507675308e+08 3.8432490279517895e+08 3.8296272394545788e+08 3.8134435654046035e+08 3.7942330935046828e+08 3.7714635383703929e+08 3.7423483261576706e+08 3.7076238112328422e+08 3.6664387642557269e+08 3.6179557171064520e+08 3.5614335201867419e+08 3.4963370570492750e+08 3.4224654319274491e+08 3.3400782988673478e+08 3.2499929235557032e+08 3.1535941455232573e+08 3.0527575963154334e+08 2.9497720881826001e+08 2.8471230883973324e+08 2.7470186730726969e+08 2.6513257253074613e+08 2.5614917842770356e+08 2.4784053248494697e+08 2.4025040828846067e+08 2.3338152014306027e+08 2.2721808238127139e+08 2.2171818745545641e+08 2.1684207698647788e+08 2.1253532302937829e+08 2.0875898880936870e+08 2.0546299111272815e+08 2.0260286350585902e+08 2.0014439181292313e+08 1.9804592346855089e+08 1.9626644866608453e+08 1.9477721194761935e+08 1.9353858987300843e+08 1.9252501424403602e+08 1.9170466652921614e+08 1.9105191538492486e+08 1.9052989728642622e+08 1.9010170208838487e+08 1.8974220460045463e+08 1.8942614844708994e+08 1.8912656401728329e+08 1.8891412595467567e+08 1.8869948094620588e+08 1.8848040668584785e+08 1.8825092526546124e+08 1.8801418477141300e+08 1.8776317532739392e+08 1.8750738856648603e+08 1.8722248071763709e+08 1.8691757173532966e+08 1.8658705168868542e+08 1.8622653994806087e+08 1.8583071326860708e+08 1.8539357492113274e+08 1.8490630094246283e+08 1.8437098190786967e+08 1.8376582872546762e+08 1.8308735149658078e+08 1.8232570615507314e+08 1.8147029884825099e+08 1.8051020463533413e+08 1.7943446526501364e+08 1.7823076081139138e+08 1.7690179461418208e+08 1.7542280640271556e+08 1.7379951905309612e+08 1.7203568740244421e+08 1.7014514594722787e+08 1.6815143316047442e+08 1.6609935196965280e+08 1.6405538766055250e+08 1.6212972127832907e+08 1.6045825549307939e+08 1.5925661169573122e+08 1.5882413991495079e+08 1.5959652295352212e+08 1.6220714706151241e+08 1.6761587135828778e+08 1.7734204904040644e+08 1.9394766013495019e+08 5.3016800082551569e+07 +7.7909636545514154e+00 3.9106318882725936e+08 3.9102538842070371e+08 3.9096174581408620e+08 3.9087889775665140e+08 3.9079722228358549e+08 3.9074815420013219e+08 3.9074555448481601e+08 3.9076573157019466e+08 3.9078463386302233e+08 3.9079720818226999e+08 3.9080598805562222e+08 3.9081096127049160e+08 3.9081105249402994e+08 3.9080547843525892e+08 3.9079361188012588e+08 3.9077453481544834e+08 3.9074718817037702e+08 3.9071045357033348e+08 3.9066304229570687e+08 3.9060336956651574e+08 3.9052954036172348e+08 3.9043915322669506e+08 3.9032823932077676e+08 3.9018982595321161e+08 3.9001975135558701e+08 3.8981659959044933e+08 3.8957464188587248e+08 3.8928632856158227e+08 3.8894311133646822e+08 3.8853487480810368e+08 3.8804956446201342e+08 3.8747278691694355e+08 3.8678735365642226e+08 3.8597276025974804e+08 3.8500461576564640e+08 3.8385395904781562e+08 3.8248659555018038e+08 3.8086242367947525e+08 3.7893493927556837e+08 3.7665092545086026e+08 3.7373118082072365e+08 3.7024995600252789e+08 3.6612231584660083e+08 3.6126478709615988e+08 3.5560361872557837e+08 3.4908574527527291e+08 3.4169157951213580e+08 3.3344759878141087e+08 3.2443598655130613e+08 3.1479556089173949e+08 3.0471403906232762e+08 2.9442022119908208e+08 2.8416234172537178e+08 2.7416076533773273e+08 2.6460164292730170e+08 2.5562916582067764e+08 2.4733168249429584e+08 2.3975255759212193e+08 2.3289421314029369e+08 2.2674065369479501e+08 2.2124986995808637e+08 2.1638203915955824e+08 2.1208274090576172e+08 2.0831303745590734e+08 2.0502289367248464e+08 2.0216789417650431e+08 1.9971386274732795e+08 1.9761921263758600e+08 1.9584300220300069e+08 1.9435652030281660e+08 1.9312021704078388e+08 1.9210856335099232e+08 1.9128979697898903e+08 1.9063832745000157e+08 1.9011735647020152e+08 1.8969004196570158e+08 1.8933129900039515e+08 1.8901591566561797e+08 1.8871697560378990e+08 1.8850499660632342e+08 1.8829081612266180e+08 1.8807221626983365e+08 1.8784323190479222e+08 1.8760700422262341e+08 1.8735653899573544e+08 1.8710130484231535e+08 1.8681701413409448e+08 1.8651276560758632e+08 1.8618296148138624e+08 1.8582323061259556e+08 1.8542826128484383e+08 1.8499206975566134e+08 1.8450585165804303e+08 1.8397169062731472e+08 1.8336784813014188e+08 1.8269084038206223e+08 1.8193084463588634e+08 1.8107728998188618e+08 1.8011927513913658e+08 1.7904586558889049e+08 1.7784476855438644e+08 1.7651867920081902e+08 1.7504289412468728e+08 1.7342312241684785e+08 1.7166311078287223e+08 1.6977666375797799e+08 1.6778726883818996e+08 1.6573963192179018e+08 1.6370009473868188e+08 1.6177859758463675e+08 1.6011075178608218e+08 1.5891171048424950e+08 1.5848017582522029e+08 1.5925088622606334e+08 1.6185585641679332e+08 1.6725286697304779e+08 1.7695798128081051e+08 1.9352762796358648e+08 5.2854993015744045e+07 +7.7959319773256732e+00 3.9062455828761911e+08 3.9058679755173123e+08 3.9052322163000214e+08 3.9044045526593214e+08 3.9035885112437207e+08 3.9030980757099736e+08 3.9030716985928518e+08 3.9032727386038703e+08 3.9034609362509215e+08 3.9035857895102763e+08 3.9036725771037358e+08 3.9037211491689634e+08 3.9037207312397277e+08 3.9036634595900470e+08 3.9035430239091390e+08 3.9033502015930563e+08 3.9030743498804545e+08 3.9027042209705734e+08 3.9022268521599001e+08 3.9016263079451609e+08 3.9008835361055756e+08 3.8999744037848812e+08 3.8988590768020380e+08 3.8974675820592296e+08 3.8957579380148691e+08 3.8937157742846370e+08 3.8912836749069703e+08 3.8883859051591676e+08 3.8849366679284680e+08 3.8808344517509431e+08 3.8759583168230742e+08 3.8701639006009060e+08 3.8632788609978431e+08 3.8550976788574129e+08 3.8453759676155984e+08 3.8338236618723166e+08 3.8200984193389750e+08 3.8037989324886370e+08 3.7844600351125532e+08 3.7615496795927000e+08 3.7322704498866457e+08 3.6973709834592772e+08 3.6560038098245084e+08 3.6073369324450320e+08 3.5506364770398045e+08 3.4853762424510944e+08 3.4113653654992127e+08 3.3288737187768394e+08 3.2387276807206023e+08 3.1423187453198361e+08 3.0415255989147663e+08 2.9386354094461763e+08 2.8361273834556395e+08 2.7362007325944889e+08 2.6407115943368927e+08 2.5510962657913804e+08 2.4682332553485325e+08 2.3925521351627401e+08 2.3240742169660529e+08 2.2626374611711353e+08 2.2078207670481130e+08 2.1592252708043545e+08 2.1163068493098068e+08 2.0786761198004511e+08 2.0458332142087498e+08 2.0173344910505426e+08 1.9928385691321141e+08 1.9719302396749336e+08 1.9542007681337857e+08 1.9393634866867962e+08 1.9270236315690950e+08 1.9169263038026282e+08 1.9087544435689244e+08 1.9022525550520837e+08 1.8970533075410768e+08 1.8927889607682309e+08 1.8892090681208280e+08 1.8860619551342168e+08 1.8830789903649941e+08 1.8809637853569967e+08 1.8788266199790138e+08 1.8766453595996252e+08 1.8743604802876982e+08 1.8720033251727843e+08 1.8695041082418972e+08 1.8669572859428567e+08 1.8641205425494823e+08 1.8610846535846993e+08 1.8577937625741547e+08 1.8542042528399727e+08 1.8502631223598260e+08 1.8459106634143722e+08 1.8410590280220044e+08 1.8357289833460352e+08 1.8297036488450000e+08 1.8229482478020772e+08 1.8153647656741366e+08 1.8068477225032148e+08 1.7972883417888436e+08 1.7865775153654301e+08 1.7745925865999267e+08 1.7613604256097570e+08 1.7466345661695972e+08 1.7304719615700635e+08 1.7129099976542124e+08 1.6940864205363730e+08 1.6742355960436404e+08 1.6538036140788424e+08 1.6334524581567815e+08 1.6142791268508357e+08 1.5976368234922138e+08 1.5856724028994551e+08 1.5813664157916462e+08 1.5890568143199417e+08 1.6150500477149734e+08 1.6689031622634688e+08 1.7657439347952411e+08 1.9310812070282915e+08 5.2693616035632461e+07 +7.8009003000999311e+00 3.9018514873685849e+08 3.9014742721534622e+08 3.9008391718182200e+08 3.9000123241057163e+08 3.8991970001939702e+08 3.8987068120682633e+08 3.8986800561400056e+08 3.8988803663257575e+08 3.8990677400141573e+08 3.8991917051915175e+08 3.8992774840964037e+08 3.8993248991291410e+08 3.8993231548358083e+08 3.8992643568002075e+08 3.8991421566840118e+08 3.8989472895922011e+08 3.8986690608989990e+08 3.8982961590094572e+08 3.8978155459976548e+08 3.8972111989900649e+08 3.8964639641619843e+08 3.8955495908175743e+08 3.8944280996500176e+08 3.8930292724691075e+08 3.8913107651708221e+08 3.8892579970959431e+08 3.8868134247593290e+08 3.8839010766913730e+08 3.8804348429436129e+08 3.8763128563354731e+08 3.8714137843908650e+08 3.8655928381182039e+08 3.8586772211257958e+08 3.8504609422812396e+08 3.8406991414213568e+08 3.8291013027583301e+08 3.8153246913969785e+08 3.7989677126643103e+08 3.7795650804242408e+08 3.7565848730496573e+08 3.7272243100370383e+08 3.6922381396213782e+08 3.6507807754380214e+08 3.6020229574329650e+08 3.5452344438771319e+08 3.4798934786026591e+08 3.4058141932802790e+08 3.3232715393701547e+08 3.2330964138812172e+08 3.1366835962590945e+08 3.0359132594010288e+08 2.9330717154183769e+08 2.8306350186355889e+08 2.7307979393229640e+08 2.6354112463337949e+08 2.5459056304288435e+08 2.4631546373518857e+08 2.3875837800929773e+08 2.3192114760801509e+08 2.2578736131622040e+08 2.2031480925656241e+08 2.1546354222053239e+08 2.1117915650011060e+08 2.0742271371345088e+08 2.0414427563611448e+08 2.0129952952470654e+08 1.9885437550635785e+08 1.9676735862286717e+08 1.9499767363591564e+08 1.9351669816350654e+08 1.9228502932319614e+08 1.9127721642065746e+08 1.9046160974233714e+08 1.8981270062247699e+08 1.8929382120528385e+08 1.8886826548534346e+08 1.8851102909619606e+08 1.8819698904917526e+08 1.8789933537238112e+08 1.8768827279838052e+08 1.8747501962651053e+08 1.8725736680946106e+08 1.8702937468948388e+08 1.8679417070576653e+08 1.8654479186226812e+08 1.8629066087030590e+08 1.8600760212649256e+08 1.8570467203227869e+08 1.8537629705922684e+08 1.8501812500287777e+08 1.8462486716026780e+08 1.8419056571420175e+08 1.8370645540834528e+08 1.8317460606044912e+08 1.8257338001521286e+08 1.8189930571407557e+08 1.8114260296824226e+08 1.8029274666780615e+08 1.7933888276297539e+08 1.7827012411049482e+08 1.7707423212408483e+08 1.7575388568338895e+08 1.7428449485964584e+08 1.7267174124457178e+08 1.7091935531124455e+08 1.6904108178484666e+08 1.6706030639833468e+08 1.6502154135618174e+08 1.6299084180834201e+08 1.6107766748600528e+08 1.5941704807904363e+08 1.5822320200280216e+08 1.5779353806415531e+08 1.5856090946319792e+08 1.6115459303203472e+08 1.6652822005453780e+08 1.7619128662741688e+08 1.9268913943659139e+08 5.2532668297941595e+07 +7.8058686228741889e+00 3.8974496610587817e+08 3.8970728292999071e+08 3.8964383850151610e+08 3.8956123533041143e+08 3.8947977506540525e+08 3.8943078121443367e+08 3.8942806786163783e+08 3.8944802600152040e+08 3.8946668110738373e+08 3.8947898900272238e+08 3.8948746626931024e+08 3.8949209237475437e+08 3.8949178568969589e+08 3.8948575371573472e+08 3.8947335782959747e+08 3.8945366733212781e+08 3.8942560759333640e+08 3.8938804109924179e+08 3.8933965656332511e+08 3.8927884299645036e+08 3.8920367489452666e+08 3.8911171545207167e+08 3.8899895229031920e+08 3.8885833919068187e+08 3.8868560561583799e+08 3.8847927254533869e+08 3.8823357295158231e+08 3.8794088612877798e+08 3.8759256994580573e+08 3.8717840228446972e+08 3.8668621082873404e+08 3.8610147426294619e+08 3.8540686777818477e+08 3.8458174536108190e+08 3.8360157396937823e+08 3.8243725736018854e+08 3.8105448319397700e+08 3.7941306373247504e+08 3.7746645883644634e+08 3.7516148941311294e+08 3.7221734473183203e+08 3.6871010864038968e+08 3.6455541122266912e+08 3.5967060016037035e+08 3.5398301418982321e+08 3.4744092134619814e+08 3.4002623284748983e+08 3.3176694970078981e+08 3.2274661094821805e+08 3.1310502030584264e+08 3.0303034100983906e+08 2.9275111645908391e+08 2.8251463542350698e+08 2.7253993019738364e+08 2.6301154109291160e+08 2.5407197753492987e+08 2.4580809920792371e+08 2.3826205300474402e+08 2.3143539265693909e+08 2.2531150094711825e+08 2.1984806916170496e+08 2.1500508603806278e+08 2.1072815699660981e+08 2.0697834397643119e+08 2.0370575758484244e+08 2.0086613665763897e+08 1.9842541971140286e+08 1.9634221775743639e+08 1.9457579379926771e+08 1.9309756989504236e+08 1.9186821663091946e+08 1.9086232255072507e+08 1.9004829420402208e+08 1.8940066386374322e+08 1.8888282888041261e+08 1.8845815124433124e+08 1.8810166690331304e+08 1.8778829732163146e+08 1.8749128565825927e+08 1.8728068043999571e+08 1.8706789005284810e+08 1.8685070986165631e+08 1.8662321292890233e+08 1.8638851982890245e+08 1.8613968314913675e+08 1.8588610270839226e+08 1.8560365878488082e+08 1.8530138666364810e+08 1.8497372491983265e+08 1.8461633080002785e+08 1.8422392708660540e+08 1.8379056890018326e+08 1.8330751050001281e+08 1.8277681482494307e+08 1.8217689453939706e+08 1.8150428419697502e+08 1.8074922484772670e+08 1.7990121423856750e+08 1.7894942189079732e+08 1.7788298430417827e+08 1.7668968993331912e+08 1.7537220954704863e+08 1.7390600982390854e+08 1.7229675864166024e+08 1.7054817837267685e+08 1.6867398389337668e+08 1.6669751015131268e+08 1.6466317268591794e+08 1.6263688362469634e+08 1.6072786288467330e+08 1.5907084986362192e+08 1.5787959650440675e+08 1.5745086615937239e+08 1.5821657120291913e+08 1.6080462209622791e+08 1.6616657938560113e+08 1.7580866170604369e+08 1.9227068523834640e+08 5.2372148958552688e+07 +7.8108369456484468e+00 3.8930401151314783e+08 3.8926637157350540e+08 3.8920299122816896e+08 3.8912047027268755e+08 3.8903908236818933e+08 3.8899011368566072e+08 3.8898736270074594e+08 3.8900724806908143e+08 3.8902582104385465e+08 3.8903804050256866e+08 3.8904641739078915e+08 3.8905092840433347e+08 3.8905048984351099e+08 3.8904430616752136e+08 3.8903173497651225e+08 3.8901184138046026e+08 3.8898354560027689e+08 3.8894570379366720e+08 3.8889699720867890e+08 3.8883580618797696e+08 3.8876019514666122e+08 3.8866771559041983e+08 3.8855434075597960e+08 3.8841300013558531e+08 3.8823938719519663e+08 3.8803200203207123e+08 3.8778506501166320e+08 3.8749093198687571e+08 3.8714092983620894e+08 3.8672480121362168e+08 3.8623033493251741e+08 3.8564296748837632e+08 3.8494532916420263e+08 3.8411672734209663e+08 3.8313258228925937e+08 3.8196375347031307e+08 3.8057589010647833e+08 3.7892877663129842e+08 3.7697586184380376e+08 3.7466398019079083e+08 3.7171179202068645e+08 3.6819598815191603e+08 3.6403238769138587e+08 3.5913861204384357e+08 3.5344236250428319e+08 3.4689234990751868e+08 3.3947098208859438e+08 3.3120676388909799e+08 3.2218368118092567e+08 3.1254186068420911e+08 3.0246960888210863e+08 2.9219537914483505e+08 2.8196614215215409e+08 2.7200048487891912e+08 2.6248241136156961e+08 2.5355387236273456e+08 2.4530123405089214e+08 2.3776624042168018e+08 2.3095015861140844e+08 2.2483616665174267e+08 2.1938185795591718e+08 2.1454715997975954e+08 2.1027768779222870e+08 2.0653450407734787e+08 2.0326776852304298e+08 2.0043327171510729e+08 1.9799699070267347e+08 1.9591760251442033e+08 1.9415443842120272e+08 1.9267896496058482e+08 1.9145192616102797e+08 1.9044794983906272e+08 1.8963549880094230e+08 1.8898914628080165e+08 1.8847235482652050e+08 1.8804855439713141e+08 1.8769282127425697e+08 1.8738012136911672e+08 1.8708375093112355e+08 1.8687360249640876e+08 1.8666127431141201e+08 1.8644456614990729e+08 1.8621756377902910e+08 1.8598338091754094e+08 1.8573508571420160e+08 1.8548205513611823e+08 1.8520022525652328e+08 1.8489861027743608e+08 1.8457166086201116e+08 1.8421504369640404e+08 1.8382349303358150e+08 1.8339107691588756e+08 1.8290906909083265e+08 1.8237952563901317e+08 1.8178090946462020e+08 1.8110976123279557e+08 1.8035634320532435e+08 1.7951017595755449e+08 1.7856045255178097e+08 1.7749633310121080e+08 1.7630563306469434e+08 1.7499101512189484e+08 1.7352800247132456e+08 1.7192224930097404e+08 1.7017746989283085e+08 1.6830734931194443e+08 1.6633517178461993e+08 1.6430525630769145e+08 1.6228337216415146e+08 1.6037849976989046e+08 1.5872508858266023e+08 1.5753642466768879e+08 1.5710862673558405e+08 1.5787266752607304e+08 1.6045509285353354e+08 1.6580539513830307e+08 1.7542651968784204e+08 1.9185275917128241e+08 5.2212057173512921e+07 +7.8158052684227046e+00 3.8886229693769926e+08 3.8882469710724860e+08 3.8876138256656730e+08 3.8867894350755668e+08 3.8859762804110134e+08 3.8854868469795471e+08 3.8854589621581227e+08 3.8856570892032707e+08 3.8858419989750367e+08 3.8859633110539848e+08 3.8860460786098200e+08 3.8860900408868831e+08 3.8860843403272790e+08 3.8860209912320131e+08 3.8858935319658804e+08 3.8856925719097906e+08 3.8854072619811821e+08 3.8850261007183510e+08 3.8845358262310624e+08 3.8839201556108469e+08 3.8831596325905371e+08 3.8822296558228487e+08 3.8810898144726890e+08 3.8796691616619301e+08 3.8779242733816957e+08 3.8758399425102144e+08 3.8733582473602682e+08 3.8704025132035190e+08 3.8668857003983742e+08 3.8627048849100894e+08 3.8577375681576806e+08 3.8518376954759163e+08 3.8448311232246912e+08 3.8365104621372288e+08 3.8266294513105917e+08 3.8148962461946869e+08 3.8009669587015647e+08 3.7844391592928267e+08 3.7648472299711347e+08 3.7416596552743733e+08 3.7120577870045722e+08 3.6768145824948448e+08 3.6350901260386616e+08 3.5860633692272073e+08 3.5290149470491534e+08 3.4634363872916818e+08 3.3891567201112694e+08 3.3064660120207882e+08 3.2162085649452144e+08 3.1197888485270196e+08 3.0190913331819493e+08 2.9163996302904159e+08 2.8141802515662348e+08 2.7146146078298199e+08 2.6195373797265935e+08 2.5303624981794265e+08 2.4479487034706110e+08 2.3727094216519609e+08 2.3046544722646838e+08 2.2436136005846113e+08 2.1891617716195923e+08 2.1408976547995779e+08 2.0982775024648386e+08 2.0609119531357983e+08 2.0283030969501305e+08 2.0000093589735267e+08 1.9756908964327177e+08 1.9549351402652600e+08 1.9373360860912475e+08 1.9226088444723061e+08 1.9103615898444298e+08 1.9003409934370705e+08 1.8922322458185107e+08 1.8857814891563699e+08 1.8806240008023918e+08 1.8763947597701889e+08 1.8728449323963746e+08 1.8697246222064009e+08 1.8667673221782702e+08 1.8646703999318850e+08 1.8625517342689118e+08 1.8603893669740048e+08 1.8581242826181969e+08 1.8557875499234757e+08 1.8533100057708442e+08 1.8507851917186737e+08 1.8479730255818039e+08 1.8449634388836333e+08 1.8417010589894614e+08 1.8381426470316863e+08 1.8342356601024520e+08 1.8299209076786026e+08 1.8251113218479523e+08 1.8198273950355268e+08 1.8138542578865227e+08 1.8071573781545866e+08 1.7996395903120977e+08 1.7911963281017607e+08 1.7817197572618201e+08 1.7711017147578889e+08 1.7592206248594490e+08 1.7461030336831707e+08 1.7315047375429085e+08 1.7154821416634732e+08 1.6980723080574846e+08 1.6794117896441168e+08 1.6597329221154937e+08 1.6394779312357464e+08 1.6193030831763062e+08 1.6002957902196023e+08 1.5837976510739097e+08 1.5719368735742405e+08 1.5676682065510398e+08 1.5752919929948854e+08 1.6010600618440941e+08 1.6544466822283357e+08 1.7504486153566149e+08 1.9143536228848961e+08 5.2052392099044777e+07 +7.8207735911969625e+00 3.8841982694959307e+08 3.8838226461261791e+08 3.8831901791723412e+08 3.8823666120608681e+08 3.8815541818722022e+08 3.8810650031544322e+08 3.8810367447753721e+08 3.8812341462704122e+08 3.8814182373947644e+08 3.8815386688320309e+08 3.8816204375159347e+08 3.8816632549987149e+08 3.8816562432968402e+08 3.8815913865509820e+08 3.8814621856281906e+08 3.8812592083703834e+08 3.8809715545985174e+08 3.8805876600637913e+08 3.8800941887882328e+08 3.8794747718737745e+08 3.8787098530348724e+08 3.8777747149930978e+08 3.8766288043446028e+08 3.8752009335176343e+08 3.8734473211278582e+08 3.8713525526857233e+08 3.8688585818875819e+08 3.8658885019155723e+08 3.8623549661549634e+08 3.8581547017195576e+08 3.8531648252815491e+08 3.8472388648462361e+08 3.8402022328922284e+08 3.8318470800182647e+08 3.8219266850859928e+08 3.8101487680565983e+08 3.7961690646173364e+08 3.7795848757611108e+08 3.7599304821222752e+08 3.7366745129587525e+08 3.7069931058280641e+08 3.6716652466644853e+08 3.6298529159441501e+08 3.5807378030607271e+08 3.5236041614503145e+08 3.4579479297590441e+08 3.3836030755471462e+08 3.3008646631823403e+08 3.2105814127572459e+08 3.1141609688296014e+08 3.0134891806046575e+08 2.9108487152179015e+08 2.8087028752600992e+08 2.7092286069815755e+08 2.6142552344247174e+08 2.5251911217621130e+08 2.4428901016391110e+08 2.3677616012576464e+08 2.2998126024290535e+08 2.2388708278324154e+08 2.1845102829041535e+08 2.1363290396077836e+08 2.0937834570774534e+08 2.0564841897063357e+08 2.0239338233406788e+08 1.9956913039371106e+08 1.9714171768581560e+08 1.9506995341583312e+08 1.9331330546010441e+08 1.9184332943163297e+08 1.9062091616191071e+08 1.8962077211280677e+08 1.8881147258520758e+08 1.8816767279982898e+08 1.8765296566850170e+08 1.8723091700724801e+08 1.8687668382026187e+08 1.8656532089472714e+08 1.8627023053523183e+08 1.8606099394618684e+08 1.8584958841381004e+08 1.8563382251779386e+08 1.8540780738963941e+08 1.8517464306446117e+08 1.8492742874726987e+08 1.8467549582374504e+08 1.8439489169631481e+08 1.8409458850151250e+08 1.8376906103371072e+08 1.8341399482150793e+08 1.8302414701570460e+08 1.8259361145299730e+08 1.8211370077625927e+08 1.8158645741005805e+08 1.8099044449971947e+08 1.8032221492950523e+08 1.7957207330558893e+08 1.7872958577202928e+08 1.7778399238448301e+08 1.7672450039296648e+08 1.7553897915554696e+08 1.7423007523772919e+08 1.7277342461626640e+08 1.7117465417223230e+08 1.6943746203652588e+08 1.6757547376586601e+08 1.6561187233623520e+08 1.6359078402635792e+08 1.6157769296709397e+08 1.5968110151267633e+08 1.5803488030057931e+08 1.5685138542986569e+08 1.5642544877195770e+08 1.5718616738104194e+08 1.5975736296126565e+08 1.6508439954041678e+08 1.7466368820301211e+08 1.9101849563281012e+08 5.1893152891555585e+07 +7.8257419139712203e+00 3.8797660311694229e+08 3.8793908399356705e+08 3.8787590337324363e+08 3.8779362933520597e+08 3.8771245888264960e+08 3.8766356659071237e+08 3.8766070354127395e+08 3.8768037124511433e+08 3.8769869862651533e+08 3.8771065389266354e+08 3.8771873111988485e+08 3.8772289869566143e+08 3.8772206679206967e+08 3.8771543082120723e+08 3.8770233713296878e+08 3.8768183837654740e+08 3.8765283944299704e+08 3.8761417765490115e+08 3.8756451203337634e+08 3.8750219712445039e+08 3.8742526733646613e+08 3.8733123939691967e+08 3.8721604377297795e+08 3.8707253774636096e+08 3.8689630757229376e+08 3.8668579113624895e+08 3.8643517141958719e+08 3.8613673464675879e+08 3.8578171560669345e+08 3.8535975229581857e+08 3.8485851810508525e+08 3.8426332432802546e+08 3.8355666808426517e+08 3.8271771871675265e+08 3.8172175841867375e+08 3.8053951600903702e+08 3.7913652784069359e+08 3.7747249750499445e+08 3.7550084338749188e+08 3.7316844334936714e+08 3.7019239346067536e+08 3.6665119311808974e+08 3.6246123027897853e+08 3.5754094768400443e+08 3.5181913215877646e+08 3.4524581779141939e+08 3.3780489363811719e+08 3.2952636389626634e+08 3.2049553989205414e+08 3.1085350082596898e+08 3.0078896683064663e+08 2.9053010801395196e+08 2.8032293233146173e+08 2.7038468739554077e+08 2.6089777027005666e+08 2.5200246169707710e+08 2.4378365555417725e+08 2.3628189617949361e+08 2.2949759938857013e+08 2.2341333642859983e+08 2.1798641283914936e+08 2.1317657683229151e+08 2.0892947551222920e+08 2.0520617632309818e+08 2.0195698766253477e+08 1.9913785638261825e+08 1.9671487597220907e+08 1.9464692179384747e+08 1.9289353006072772e+08 1.9142630098047441e+08 1.9020619874364996e+08 1.8920796918449804e+08 1.8840024383992690e+08 1.8775771895497191e+08 1.8724405260789871e+08 1.8682287850119093e+08 1.8646939402670372e+08 1.8615869840012705e+08 1.8586424689060816e+08 1.8565546536154377e+08 1.8544452027701369e+08 1.8522922461480251e+08 1.8500370216509911e+08 1.8477104613491616e+08 1.8452437122465134e+08 1.8427298609021661e+08 1.8399299366797826e+08 1.8369334511237386e+08 1.8336852726017028e+08 1.8301423504343858e+08 1.8262523703965846e+08 1.8219563995860726e+08 1.8171677584977815e+08 1.8119068034032485e+08 1.8059596657592025e+08 1.7992919354979730e+08 1.7918068699932775e+08 1.7834003580947417e+08 1.7739650348807612e+08 1.7633932080799359e+08 1.7515638402256384e+08 1.7385033167187414e+08 1.7239685599122539e+08 1.7080157024396703e+08 1.6906816450125712e+08 1.6721023462202558e+08 1.6525091305403858e+08 1.6323422990079194e+08 1.6122552698610979e+08 1.5933306810539091e+08 1.5769043501676518e+08 1.5650951973314598e+08 1.5608451193196288e+08 1.5684357262081879e+08 1.5940916404779100e+08 1.6472458998373163e+08 1.7428300063446739e+08 1.9060216023706251e+08 5.1734338707646787e+07 +7.8307102367454782e+00 3.8753264007519001e+08 3.8749515806204700e+08 3.8743204504175246e+08 3.8734985379411280e+08 3.8726875616813701e+08 3.8721988956467897e+08 3.8721698944995022e+08 3.8723658481577837e+08 3.8725483060012060e+08 3.8726669817633057e+08 3.8727467600872880e+08 3.8727872971897477e+08 3.8727776746306652e+08 3.8727098166480517e+08 3.8725771495023066e+08 3.8723701585277861e+08 3.8720778419116455e+08 3.8716885106044477e+08 3.8711886812965816e+08 3.8705618141427952e+08 3.8697881540039062e+08 3.8688427531693083e+08 3.8676847750293225e+08 3.8662425538972282e+08 3.8644715975401866e+08 3.8623560789004135e+08 3.8598377046205854e+08 3.8568391071776509e+08 3.8532723304162496e+08 3.8490334088681298e+08 3.8439986956469697e+08 3.8380208908979833e+08 3.8309245271251285e+08 3.8225008435234666e+08 3.8125022084270275e+08 3.8006354819401407e+08 3.7865556594998032e+08 3.7698595163142693e+08 3.7500811440391618e+08 3.7266894752532715e+08 3.6968503310961431e+08 3.6613546930170441e+08 3.6193683425329024e+08 3.5700784452643758e+08 3.5127764806038982e+08 3.4469671829977041e+08 3.3724943515930969e+08 3.2896629857411355e+08 3.1993305668940699e+08 3.1029110071296978e+08 3.0022928333085430e+08 2.8997567587778527e+08 2.7977596262484694e+08 2.6984694362910527e+08 2.6037048093870923e+08 2.5148630062493926e+08 2.4327880855549788e+08 2.3578815218854088e+08 2.2901446637717202e+08 2.2294012258406216e+08 2.1752233229360166e+08 2.1272078549265498e+08 2.0848114098460171e+08 2.0476446863370091e+08 2.0152112689133051e+08 1.9870711503177297e+08 1.9628856563360322e+08 1.9422442026173574e+08 1.9247428348747787e+08 1.9100980014971754e+08 1.8979200777022284e+08 1.8879569158656198e+08 1.8798953936422932e+08 1.8734828839313197e+08 1.8683566190551463e+08 1.8641536146227604e+08 1.8606262486011109e+08 1.8575259573609567e+08 1.8545878228126752e+08 1.8525045523524323e+08 1.8503997001167548e+08 1.8482514398194161e+08 1.8460011358064196e+08 1.8436796519519213e+08 1.8412182899931988e+08 1.8387099096005866e+08 1.8359160946029451e+08 1.8329261470638111e+08 1.8296850556191403e+08 1.8261498635049894e+08 1.8222683706197584e+08 1.8179817726201668e+08 1.8132035838047060e+08 1.8079540926656628e+08 1.8020199298660350e+08 1.7953667464176339e+08 1.7878980107375103e+08 1.7795098387957171e+08 1.7700950998852235e+08 1.7595463366708672e+08 1.7477427802678233e+08 1.7347107360355166e+08 1.7202076880412248e+08 1.7042896329803494e+08 1.6869933910698536e+08 1.6684546243013179e+08 1.6489041525159523e+08 1.6287813162257397e+08 1.6087381124001902e+08 1.5898547965488073e+08 1.5734643010187554e+08 1.5616809110694408e+08 1.5574401097239563e+08 1.5650141586016163e+08 1.5906141029929757e+08 1.6436524043639982e+08 1.7390279976487356e+08 1.9018635712385431e+08 5.1575948704123184e+07 +7.8356785595197360e+00 3.8708793490431398e+08 3.8705049638368100e+08 3.8698744889091593e+08 3.8690534052692956e+08 3.8682431605298114e+08 3.8677547526667023e+08 3.8677253823098707e+08 3.8679206136472934e+08 3.8681022568788457e+08 3.8682200576218992e+08 3.8682988444544595e+08 3.8683382459757513e+08 3.8683273237069720e+08 3.8682579721387351e+08 3.8681235804301333e+08 3.8679145929383051e+08 3.8676199573228687e+08 3.8672279225092703e+08 3.8667249319548172e+08 3.8660943608450907e+08 3.8653163552151412e+08 3.8643658528526944e+08 3.8632018764999753e+08 3.8617525230561429e+08 3.8599729468108600e+08 3.8578471155102956e+08 3.8553166133561987e+08 3.8523038442069274e+08 3.8487205493326539e+08 3.8444624195360237e+08 3.8394054291132802e+08 3.8334018676725423e+08 3.8262758316249079e+08 3.8178181088688189e+08 3.8077806174521691e+08 3.7958697930825496e+08 3.7817402671638417e+08 3.7649885585415035e+08 3.7451486712507588e+08 3.7216896964199591e+08 3.6917723528739750e+08 3.6561935889494717e+08 3.6141210909541833e+08 3.5647447628432298e+08 3.5073596914315265e+08 3.4414749960471046e+08 3.3669393699698597e+08 3.2840627496918422e+08 3.1937069599413282e+08 3.0972890055489826e+08 2.9966987124417341e+08 2.8942157846662468e+08 2.7922938144060254e+08 2.6930963213466471e+08 2.5984365791476884e+08 2.5097063118809548e+08 2.4277447119058624e+08 2.3529493000077277e+08 2.2853186290924093e+08 2.2246744282634911e+08 2.1705878812674329e+08 2.1226553132778138e+08 2.0803334343794537e+08 2.0432329715416878e+08 2.0108580122065967e+08 1.9827690749779558e+08 1.9586278779078048e+08 1.9380244991005495e+08 1.9205556680625257e+08 1.9059382798571551e+08 1.8937834427172503e+08 1.8838394033706507e+08 1.8757936016719130e+08 1.8693938211599842e+08 1.8642779455812693e+08 1.8600836688406762e+08 1.8565637731158137e+08 1.8534701389162183e+08 1.8505383769452184e+08 1.8484596455349439e+08 1.8463593860270411e+08 1.8442158160353756e+08 1.8419704261909604e+08 1.8396540122683290e+08 1.8371980305165267e+08 1.8346951141215041e+08 1.8319074005069512e+08 1.8289239825940198e+08 1.8256899691331762e+08 1.8221624971518794e+08 1.8182894805278119e+08 1.8140122433135864e+08 1.8092444933355349e+08 1.8040064515104422e+08 1.7980852469111446e+08 1.7914465916144416e+08 1.7839941648089457e+08 1.7756243092961967e+08 1.7662301282838279e+08 1.7557043990713537e+08 1.7439266209880471e+08 1.7309230195651296e+08 1.7164516397104239e+08 1.7005683424195263e+08 1.6833098675196210e+08 1.6648115807852778e+08 1.6453037980683517e+08 1.6252249005893540e+08 1.6052254658513319e+08 1.5863833700761095e+08 1.5700286639377084e+08 1.5582710038272306e+08 1.5540394672265610e+08 1.5615969793241367e+08 1.5871410256262931e+08 1.6400635177367952e+08 1.7352308652028316e+08 1.8977108730559221e+08 5.1417982038002290e+07 +7.8406468822939939e+00 3.8664249985393041e+08 3.8660509989210027e+08 3.8654212009767377e+08 3.8646009551617414e+08 3.8637914452614552e+08 3.8633032971472013e+08 3.8632735589726686e+08 3.8634680690396643e+08 3.8636488990185755e+08 3.8637658266291869e+08 3.8638436244319260e+08 3.8638818934496230e+08 3.8638696752836859e+08 3.8637988348214883e+08 3.8636627242493379e+08 3.8634517471318191e+08 3.8631548007991934e+08 3.8627600724038970e+08 3.8622539324367565e+08 3.8616196714775407e+08 3.8608373371202385e+08 3.8598817531358856e+08 3.8587118022467959e+08 3.8572553450377458e+08 3.8554671836148602e+08 3.8533310812552881e+08 3.8507885004376101e+08 3.8477616175655192e+08 3.8441618727901733e+08 3.8398846148951924e+08 3.8348054413218445e+08 3.8287762334154636e+08 3.8216206540707433e+08 3.8131290428258371e+08 3.8030528707505935e+08 3.7910981528379983e+08 3.7769191604873449e+08 3.7601121605476129e+08 3.7402110739690948e+08 3.7166851550089097e+08 3.6866900573260838e+08 3.6510286755744284e+08 3.6088706036348313e+08 3.5594084838924837e+08 3.5019410068189478e+08 3.4359816678968161e+08 3.3613840400784737e+08 3.2784629767829585e+08 3.1880846211140406e+08 3.0916690434252381e+08 2.9911073423323625e+08 2.8886781911437327e+08 2.7868319179480809e+08 2.6877275563104081e+08 2.5931730364781517e+08 2.5045545559921291e+08 2.4227064546760470e+08 2.3480223144990388e+08 2.2804979067147285e+08 2.2199529871927926e+08 2.1659578179916406e+08 2.1181081571168399e+08 2.0758608417366284e+08 2.0388266312520474e+08 2.0065101183956799e+08 1.9784723492677081e+08 1.9543754355375385e+08 1.9338101181917149e+08 1.9163738107275915e+08 1.9017838552409780e+08 1.8896520926826650e+08 1.8797271644381782e+08 1.8716970724710593e+08 1.8653100111560899e+08 1.8602045155319700e+08 1.8560189575030190e+08 1.8525065236228663e+08 1.8494195384598631e+08 1.8464941410814571e+08 1.8444199429303259e+08 1.8423242702566111e+08 1.8401853845386451e+08 1.8379449025380331e+08 1.8356335520178232e+08 1.8331829435221282e+08 1.8306854841569355e+08 1.8279038640711230e+08 1.8249269673776671e+08 1.8217000227870640e+08 1.8181802610023171e+08 1.8143157097274673e+08 1.8100478212496981e+08 1.8052904966509470e+08 1.8000638894706640e+08 1.7941556263938591e+08 1.7875314805512288e+08 1.7800953416324994e+08 1.7717437789768657e+08 1.7623701294089097e+08 1.7518674045559737e+08 1.7401153715993339e+08 1.7271401764503685e+08 1.7127004239845672e+08 1.6968518397404543e+08 1.6796310832541725e+08 1.6611732244675791e+08 1.6417080758898473e+08 1.6216730606858853e+08 1.6017173386955079e+08 1.5829164100187385e+08 1.5665974472175041e+08 1.5548654838372219e+08 1.5506432000370437e+08 1.5581841966260651e+08 1.5836724167627138e+08 1.6364792486209658e+08 1.7314386181745723e+08 1.8935635178487110e+08 5.1260437866523407e+07 +7.8456152050682517e+00 3.8619633837099165e+08 3.8615898012049389e+08 3.8609606527522349e+08 3.8601412472046149e+08 3.8593324756412643e+08 3.8588445891318703e+08 3.8588144844661540e+08 3.8590082742906868e+08 3.8591882923902166e+08 3.8593043487667048e+08 3.8593811599989176e+08 3.8594182995922911e+08 3.8594047893427271e+08 3.8593324646817487e+08 3.8591946409457314e+08 3.8589816810989875e+08 3.8586824323268086e+08 3.8582850202622759e+08 3.8577757427240056e+08 3.8571378060160303e+08 3.8563511596949601e+08 3.8553905139802426e+08 3.8542146122232276e+08 3.8527510797833395e+08 3.8509543678781521e+08 3.8488080360414702e+08 3.8462534257518458e+08 3.8432124871114236e+08 3.8395963606133801e+08 3.8353000547228611e+08 3.8301987920012510e+08 3.8241440477818322e+08 3.8169590540267026e+08 3.8084337048541504e+08 3.7983190276425910e+08 3.7863206203493297e+08 3.7720923984038401e+08 3.7552303809792411e+08 3.7352684104852706e+08 3.7116759088528180e+08 3.6816035016637886e+08 3.6458600093027198e+08 3.6036169359692818e+08 3.5540696625272071e+08 3.4965204793051869e+08 3.4304872491806990e+08 3.3558284102958262e+08 3.2728637127775210e+08 3.1824635932639945e+08 3.0860511604667699e+08 2.9855187594165856e+08 2.8831440113590819e+08 2.7813739668480599e+08 2.6823631681985605e+08 2.5879142057132399e+08 2.4994077605519438e+08 2.4176733337947199e+08 2.3431005835539061e+08 2.2756825133761233e+08 2.2152369181349385e+08 2.1613331475898910e+08 2.1135664000662804e+08 2.0713936448175049e+08 2.0344256777554756e+08 2.0021675992635038e+08 1.9741809845422310e+08 1.9501283402195522e+08 1.9296010705880323e+08 1.9121972733269247e+08 1.8976347379087442e+08 1.8855260377010313e+08 1.8756202090477833e+08 1.8676058159297001e+08 1.8612314637403274e+08 1.8561363386794558e+08 1.8519594903497070e+08 1.8484545098381284e+08 1.8453741656879184e+08 1.8424551249013337e+08 1.8403854542078567e+08 1.8382943624637738e+08 1.8361601549742559e+08 1.8339245744793409e+08 1.8316182808229694e+08 1.8291730386189905e+08 1.8266810293042478e+08 1.8239054948764583e+08 1.8209351109803244e+08 1.8177152261310062e+08 1.8142031645844927e+08 1.8103470677283850e+08 1.8060885159161010e+08 1.8013416032127684e+08 1.7961264159816393e+08 1.7902310777186906e+08 1.7836214225968418e+08 1.7762015505379394e+08 1.7678682571253794e+08 1.7585151124973097e+08 1.7480353623094806e+08 1.7363090412231126e+08 1.7233622157455996e+08 1.7089540498432139e+08 1.6931401338365090e+08 1.6759570470787290e+08 1.6575395640562066e+08 1.6381169945859358e+08 1.6181258050147480e+08 1.5982137393290377e+08 1.5794539246705717e+08 1.5631706590710154e+08 1.5514643592502388e+08 1.5472513162826943e+08 1.5547758186758187e+08 1.5802082847043657e+08 1.6328996055921632e+08 1.7276512656404552e+08 1.8894215155435491e+08 5.1103315347156771e+07 +7.8505835278425096e+00 3.8574945825444031e+08 3.8571213776861632e+08 3.8564929119073838e+08 3.8556743416581082e+08 3.8548663113576341e+08 3.8543786885258448e+08 3.8543482186236918e+08 3.8545412892172647e+08 3.8547204968233776e+08 3.8548356838652200e+08 3.8549115109862578e+08 3.8549475242420447e+08 3.8549327257253844e+08 3.8548589215558439e+08 3.8547193903582835e+08 3.8545044546747994e+08 3.8542029117409158e+08 3.8538028259230942e+08 3.8532904226480049e+08 3.8526488242884207e+08 3.8518578827562267e+08 3.8508921951993847e+08 3.8497103662355423e+08 3.8482397870831543e+08 3.8464345593754458e+08 3.8442780396261156e+08 3.8417114490308547e+08 3.8386565125499302e+08 3.8350240724683911e+08 3.8307087986471254e+08 3.8255855407178563e+08 3.8195053702686417e+08 3.8122910909088141e+08 3.8037321542555714e+08 3.7935791472918671e+08 3.7815372546044779e+08 3.7672600396703178e+08 3.7503432783168632e+08 3.7303207389129514e+08 3.7066620156065923e+08 3.6765127429133165e+08 3.6406876463564801e+08 3.5983601431613773e+08 3.5487283526749635e+08 3.4910981612396413e+08 3.4249917903289014e+08 3.3502725287857640e+08 3.2672650032375371e+08 3.1768439190418881e+08 3.0804353961784917e+08 2.9799329999287373e+08 2.8776132782760942e+08 2.7759199909067631e+08 2.6770031838521418e+08 2.5826601110230348e+08 2.4942659473778877e+08 2.4126453690442398e+08 2.3381841252304932e+08 2.2708724656757018e+08 2.2105262364731067e+08 2.1567138844222927e+08 2.1090300556297964e+08 2.0669318564034194e+08 2.0300301232345733e+08 1.9978304664801008e+08 1.9698949920455638e+08 1.9458866028465056e+08 1.9253973668860188e+08 1.9080260662115797e+08 1.8934909380182469e+08 1.8814052877737567e+08 1.8715185470816779e+08 1.8635198418387872e+08 1.8571581886358950e+08 1.8520734246983716e+08 1.8479052770221868e+08 1.8444077413784918e+08 1.8413340302002874e+08 1.8384213379864845e+08 1.8363561889353451e+08 1.8342696722079125e+08 1.8321401368929213e+08 1.8299094515537226e+08 1.8276082082088903e+08 1.8251683253214538e+08 1.8226817590628073e+08 1.8199123024084952e+08 1.8169484228714177e+08 1.8137355886182672e+08 1.8102312173363590e+08 1.8063835639470512e+08 1.8021343367045254e+08 1.7973978223899016e+08 1.7921940403840467e+08 1.7863116101956064e+08 1.7797164270294011e+08 1.7723128007648942e+08 1.7639977529355469e+08 1.7546650866941789e+08 1.7442082814196563e+08 1.7325076388898537e+08 1.7195891464132604e+08 1.7052125261729175e+08 1.6894332335163200e+08 1.6722877677083749e+08 1.6539106081714401e+08 1.6345305626763779e+08 1.6145831419915614e+08 1.5947146760643250e+08 1.5759959222488284e+08 1.5597483076275995e+08 1.5480676381348339e+08 1.5438638240116227e+08 1.5513718535575351e+08 1.5767486376700339e+08 1.6293245971461132e+08 1.7238688165846750e+08 1.8852848759668982e+08 5.0946613637612492e+07 +7.8555518506167674e+00 3.8530186114101189e+08 3.8526458410093349e+08 3.8520180354727650e+08 3.8512002994616938e+08 3.8503930120182961e+08 3.8499056550755829e+08 3.8498748211119193e+08 3.8500671734809458e+08 3.8502455719913423e+08 3.8503598916092664e+08 3.8504347370800215e+08 3.8504696270874983e+08 3.8504535441184998e+08 3.8503782651348627e+08 3.8502370321757263e+08 3.8500201275457168e+08 3.8497162987300038e+08 3.8493135490691924e+08 3.8487980318902123e+08 3.8481527859719229e+08 3.8473575659747463e+08 3.8463868564587188e+08 3.8451991239348954e+08 3.8437215265808910e+08 3.8419078177326173e+08 3.8397411516150945e+08 3.8371626298600644e+08 3.8340937534298682e+08 3.8304450678713036e+08 3.8261109061304152e+08 3.8209657468821025e+08 3.8148602602154750e+08 3.8076168239633274e+08 3.7990244501626647e+08 3.7888332886946779e+08 3.7767481144214398e+08 3.7624221428806502e+08 3.7454509108594489e+08 3.7253681171951634e+08 3.7016435327487665e+08 3.6714178379263550e+08 3.6355116427770483e+08 3.5931002802245325e+08 3.5433846080617762e+08 3.4856741047637492e+08 3.4194953415748358e+08 3.3447164435108411e+08 3.2616668935137010e+08 3.1712256408899885e+08 3.0748217898683727e+08 2.9743500999160808e+08 2.8720860246640635e+08 2.7704700197346574e+08 2.6716476299397457e+08 2.5774107764122593e+08 2.4891291381274688e+08 2.4076225800623253e+08 2.3332729574449185e+08 2.2660677800814435e+08 2.2058209574603847e+08 2.1521000427249163e+08 2.1044991371894816e+08 2.0624754891669512e+08 2.0256399797561073e+08 1.9934987316093889e+08 1.9656143829187045e+08 1.9416502342039096e+08 1.9211990175787848e+08 1.9038601996334794e+08 1.8893524656237122e+08 1.8772898528028330e+08 1.8674221883209261e+08 1.8594391598876917e+08 1.8530901954674906e+08 1.8480157831659922e+08 1.8438563270666426e+08 1.8403662277649850e+08 1.8372991414983174e+08 1.8343927898236346e+08 1.8323321565917116e+08 1.8302502089527640e+08 1.8281253397465643e+08 1.8258995432041004e+08 1.8236033436063609e+08 1.8211688130452836e+08 1.8186876828362960e+08 1.8159242960558388e+08 1.8129669124267760e+08 1.8097611196068716e+08 1.8062644285944200e+08 1.8024252077032468e+08 1.7981852929170099e+08 1.7934591634568551e+08 1.7882667719251662e+08 1.7823972330412012e+08 1.7758165030302036e+08 1.7684291014557368e+08 1.7601322755095205e+08 1.7508200610538074e+08 1.7403861708890295e+08 1.7287111735381296e+08 1.7158209773235902e+08 1.7014758617739588e+08 1.6857311474928945e+08 1.6686232537733510e+08 1.6502863653451121e+08 1.6309487885943231e+08 1.6110450799475843e+08 1.5912201571290299e+08 1.5725424108831391e+08 1.5563304009339222e+08 1.5446753284768739e+08 1.5404807311894730e+08 1.5479723092773524e+08 1.5732934837936094e+08 1.6257542316865802e+08 1.7200912799011749e+08 1.8811536088434312e+08 5.0790331895849824e+07 +7.8605201733910253e+00 3.8485355874663496e+08 3.8481631970985943e+08 3.8475360823427492e+08 3.8467191805142933e+08 3.8459126371342748e+08 3.8454255483635259e+08 3.8453943514547312e+08 3.8455859865963387e+08 3.8457635774225694e+08 3.8458770315331513e+08 3.8459508978153241e+08 3.8459846676585686e+08 3.8459673040563202e+08 3.8458905549555147e+08 3.8457476259365714e+08 3.8455287592526484e+08 3.8452226528301853e+08 3.8448172492432719e+08 3.8442986299813050e+08 3.8436497505919993e+08 3.8428502688753504e+08 3.8418745572713864e+08 3.8406809448245412e+08 3.8391963577638423e+08 3.8373742024259222e+08 3.8351974314633811e+08 3.8326070276630193e+08 3.8295242691523552e+08 3.8258594061837405e+08 3.8215064364882696e+08 3.8163394697482657e+08 3.8102087768064624e+08 3.8029363122858071e+08 3.7943106515615803e+08 3.7840815106852019e+08 3.7719532584567809e+08 3.7575787664604110e+08 3.7405533367476821e+08 3.7204106030987769e+08 3.6966205175850374e+08 3.6663188433618492e+08 3.6303320544146395e+08 3.5878374019840324e+08 3.5380384822291374e+08 3.4802483618309164e+08 3.4139979529419708e+08 3.3391602022358960e+08 3.2560694287618768e+08 3.1656088010521299e+08 3.0692103806414670e+08 2.9687700952238989e+08 2.8665622831123686e+08 2.7650240827693874e+08 2.6662965329598674e+08 2.5721662257240143e+08 2.4839973543060958e+08 2.4026049863406563e+08 2.3283670979728815e+08 2.2612684729280987e+08 2.2011210962212521e+08 2.1474916366126528e+08 2.0999736580130881e+08 2.0580245556608120e+08 2.0212552592797226e+08 1.9891724061069518e+08 1.9613391681951159e+08 1.9374192449723381e+08 1.9170060330565408e+08 1.8996996837456912e+08 1.8852193306833249e+08 1.8731797425906214e+08 1.8633311424493051e+08 1.8553637796700460e+08 1.8490274937646776e+08 1.8439634235667345e+08 1.8398126499289322e+08 1.8363299784205925e+08 1.8332695089876419e+08 1.8303694898007479e+08 1.8283133665541208e+08 1.8262359820668525e+08 1.8241157728920558e+08 1.8218948587732011e+08 1.8196036963473931e+08 1.8171745111148188e+08 1.8146988099345377e+08 1.8119414851161546e+08 1.8089905889254782e+08 1.8057918283591405e+08 1.8023028076079449e+08 1.7984720082211992e+08 1.7942413937532046e+08 1.7895256355922294e+08 1.7843446197565463e+08 1.7784879553795591e+08 1.7719216596887675e+08 1.7645504616612262e+08 1.7562718338539484e+08 1.7469800445366299e+08 1.7365690396245426e+08 1.7249196540173176e+08 1.7120577172610486e+08 1.6977440653528193e+08 1.6820338843965098e+08 1.6649635138119522e+08 1.6466668440253082e+08 1.6273716806877974e+08 1.6075116271268514e+08 1.5877301906688902e+08 1.5690933986225724e+08 1.5529169469569322e+08 1.5412874381842053e+08 1.5371020457008004e+08 1.5445771937572533e+08 1.5698428311295122e+08 1.6221885175352427e+08 1.7163186643957263e+08 1.8770277238034055e+08 5.0634469280085735e+07 +7.8654884961652831e+00 3.8440455169541615e+08 3.8436735559624547e+08 3.8430471100571680e+08 3.8422310433642054e+08 3.8414252460867727e+08 3.8409384277959478e+08 3.8409068690112352e+08 3.8410977879284400e+08 3.8412745724989009e+08 3.8413871630277896e+08 3.8414600525755060e+08 3.8414927053514415e+08 3.8414740649356306e+08 3.8413958504092330e+08 3.8412512310331666e+08 3.8410304091876245e+08 3.8407220334307301e+08 3.8403139858206308e+08 3.8397922763016075e+08 3.8391397775251925e+08 3.8383360508250409e+08 3.8373553570006675e+08 3.8361558882595891e+08 3.8346643399727815e+08 3.8328337727742034e+08 3.8306469384675384e+08 3.8280447017166609e+08 3.8249481189585829e+08 3.8212671466076726e+08 3.8168954488795114e+08 3.8117067684198594e+08 3.8055509790678769e+08 3.7982496148072028e+08 3.7895908172641593e+08 3.7793238719343829e+08 3.7671527451919937e+08 3.7527299686679512e+08 3.7356506139404780e+08 3.7154482542135352e+08 3.6915930272380805e+08 3.6612158157057464e+08 3.6251489369352132e+08 3.5825715630697566e+08 3.5326900285158098e+08 3.4748209841867417e+08 3.4084996742608291e+08 3.3336038525136149e+08 3.2504726539292228e+08 3.1599934415660310e+08 3.0636012074054420e+08 2.9631930215082121e+08 2.8610420860152960e+08 2.7595822092626536e+08 2.6609499192373472e+08 2.5669264826374075e+08 2.4788706172670385e+08 2.3975926072182590e+08 2.3234665644520536e+08 2.2564745604158694e+08 2.1964266677558318e+08 2.1428886800771123e+08 2.0954536312494999e+08 2.0535790683261073e+08 2.0168759736472657e+08 1.9848515013189164e+08 1.9570693588028574e+08 1.9331936457296529e+08 1.9128184236055133e+08 1.8955445285971764e+08 1.8810915430537811e+08 1.8690749668416736e+08 1.8592454190523991e+08 1.8512937106829208e+08 1.8449700929573113e+08 1.8399163552811804e+08 1.8357742549618837e+08 1.8322990026767904e+08 1.8292451419759381e+08 1.8263514472115338e+08 1.8242998281038189e+08 1.8222270008226603e+08 1.8201114455917567e+08 1.8178954075134572e+08 1.8156092756719700e+08 1.8131854287537563e+08 1.8107151495693457e+08 1.8079638787855420e+08 1.8050194615499029e+08 1.8018277240455753e+08 1.7983463635240325e+08 1.7945239746332413e+08 1.7903026483256787e+08 1.7855972478832427e+08 1.7804275929393873e+08 1.7745837862388352e+08 1.7680319060008508e+08 1.7606768903417930e+08 1.7524164368900782e+08 1.7431450460134074e+08 1.7327568964424527e+08 1.7211330890858510e+08 1.7082993749174854e+08 1.6940171455299076e+08 1.6783414527667660e+08 1.6613085562780672e+08 1.6430520525726342e+08 1.6237992472185266e+08 1.6039827916932139e+08 1.5842447847432360e+08 1.5656488934339324e+08 1.5495079535797635e+08 1.5379039750810865e+08 1.5337277753485894e+08 1.5411865148407561e+08 1.5663966876453486e+08 1.6186274629285213e+08 1.7125509787822327e+08 1.8729072303758311e+08 5.0479024948803991e+07 +7.8704568189395410e+00 3.8395484978894788e+08 3.8391769297750837e+08 3.8385511690459108e+08 3.8377359470119041e+08 3.8369308981372786e+08 3.8364443525961739e+08 3.8364124329941255e+08 3.8366026366972244e+08 3.8367786164468855e+08 3.8368903453207797e+08 3.8369622605963147e+08 3.8369937993979639e+08 3.8369738859917516e+08 3.8368942107354969e+08 3.8367479067045033e+08 3.8365251365856743e+08 3.8362144997670621e+08 3.8358038180422020e+08 3.8352790300895321e+08 3.8346229259974110e+08 3.8338149710455585e+08 3.8328293148532104e+08 3.8316240134375083e+08 3.8301255323932213e+08 3.8282865879453796e+08 3.8260897317769575e+08 3.8234757111408955e+08 3.8203653619408017e+08 3.8166683481944215e+08 3.8122780023042321e+08 3.8070677018308830e+08 3.8008869258624375e+08 3.7935567903017449e+08 3.7848650059263885e+08 3.7745604309535903e+08 3.7623466329554951e+08 3.7478758075857210e+08 3.7307428002338737e+08 3.7104811279622793e+08 3.6865611186525017e+08 3.6561088112623870e+08 3.6199623458200544e+08 3.5773028179274106e+08 3.5273393000661272e+08 3.4693920233859456e+08 3.4030005551595384e+08 3.3280474416993105e+08 3.2448766137582183e+08 3.1543796042737681e+08 3.0579943088714647e+08 2.9576189142267251e+08 2.8555254655847156e+08 2.7541444282895488e+08 2.6556078149280441e+08 2.5616915706680068e+08 2.4737489482045227e+08 2.3925854618944642e+08 2.3185713743818533e+08 2.2516860586174852e+08 2.1917376869370580e+08 2.1382911869887823e+08 2.0909390699307266e+08 2.0491390394925269e+08 2.0125021345992583e+08 1.9805360284847373e+08 1.9528049655655816e+08 1.9289734469530532e+08 1.9086361994141433e+08 1.8913947441339371e+08 1.8769691124916625e+08 1.8649755351610270e+08 1.8551650276170632e+08 1.8472289623243797e+08 1.8409180023774537e+08 1.8358745875979093e+08 1.8317411514195466e+08 1.8282733097603214e+08 1.8252260496791506e+08 1.8223386712554476e+08 1.8202915504301274e+08 1.8182232743966958e+08 1.8161123670124096e+08 1.8139011985787329e+08 1.8116200907227826e+08 1.8092015750938904e+08 1.8067367108606151e+08 1.8039914861704847e+08 1.8010535393922111e+08 1.7978688157371908e+08 1.7943951054008105e+08 1.7905811159762338e+08 1.7863690656493533e+08 1.7816740093207556e+08 1.7765157004388767e+08 1.7706847345548478e+08 1.7641472508713490e+08 1.7568083963643298e+08 1.7485660934393623e+08 1.7393150742612660e+08 1.7289497500702247e+08 1.7173514874100938e+08 1.7045459588941756e+08 1.6902951108356550e+08 1.6746538610551620e+08 1.6576583895378771e+08 1.6394419992613208e+08 1.6202314963644135e+08 1.6004585817231050e+08 1.5807639473319092e+08 1.5622089032020837e+08 1.5461034286073196e+08 1.5345249469128308e+08 1.5303579278590932e+08 1.5378002802881905e+08 1.5629550612329614e+08 1.6150710760194308e+08 1.7087882316843787e+08 1.8687921379912445e+08 5.0323998060764052e+07 +7.8754251417137988e+00 3.8350445408491057e+08 3.8346734123452795e+08 3.8340483125742823e+08 3.8332339509703147e+08 3.8324296524625236e+08 3.8319433818141377e+08 3.8319111024537587e+08 3.8321005919689995e+08 3.8322757683479095e+08 3.8323866375033838e+08 3.8324575809631199e+08 3.8324880088919014e+08 3.8324668263159883e+08 3.8323856950260818e+08 3.8322377120439273e+08 3.8320130005416471e+08 3.8317001109334546e+08 3.8312868049922764e+08 3.8307589504212952e+08 3.8300992550905961e+08 3.8292870886059773e+08 3.8282964898942941e+08 3.8270853794080234e+08 3.8255799940605223e+08 3.8237327069594389e+08 3.8215258703906232e+08 3.8189001149106008e+08 3.8157760570311564e+08 3.8120630698407596e+08 3.8076541556128246e+08 3.8024223287701631e+08 3.7962166759000164e+08 3.7888578973799139e+08 3.7801332760448813e+08 3.7697912460838228e+08 3.7575349799015588e+08 3.7430163411411285e+08 3.7258299532465190e+08 3.7055092815870023e+08 3.6815248485986596e+08 3.6509978861502296e+08 3.6147723363650793e+08 3.5720312208093756e+08 3.5219863498382038e+08 3.4639615307847470e+08 3.3975006450615084e+08 3.3224910169502103e+08 3.2392813527914912e+08 3.1487673308095235e+08 3.0523897235501897e+08 2.9520478086463195e+08 2.8500124538421732e+08 2.7487107687506074e+08 2.6502702460143325e+08 2.5564615131734717e+08 2.4686323681655121e+08 2.3875835694200653e+08 2.3136815451228845e+08 2.2469029834700501e+08 2.1870541685116360e+08 2.1336991710976174e+08 2.0864299869697410e+08 2.0447044813726366e+08 2.0081337537616885e+08 1.9762259987384433e+08 1.9485459991984105e+08 1.9247586590113410e+08 1.9044593705655518e+08 1.8872503402108219e+08 1.8728520486584461e+08 1.8608814570559707e+08 1.8510899775349355e+08 1.8431695438960469e+08 1.8368712312657550e+08 1.8318381297102019e+08 1.8277133484636694e+08 1.8242529088113374e+08 1.8212122412130898e+08 1.8183311710329667e+08 1.8162885426238975e+08 1.8142248118696395e+08 1.8121185462207687e+08 1.8099122410299823e+08 1.8076361505499387e+08 1.8052229591722384e+08 1.8027635028319988e+08 1.8000243162802327e+08 1.7970928314483273e+08 1.7939151124149224e+08 1.7904490422010198e+08 1.7866434411930317e+08 1.7824406546466246e+08 1.7777559288062495e+08 1.7726089511276126e+08 1.7667908091744739e+08 1.7602677031097648e+08 1.7529449885028860e+08 1.7447208122347265e+08 1.7354901379689699e+08 1.7251476091428298e+08 1.7135748575671762e+08 1.7007974777075571e+08 1.6865779697136226e+08 1.6709711176260719e+08 1.6540130218715069e+08 1.6358366922779325e+08 1.6166684362177995e+08 1.5969390052111632e+08 1.5772876863299724e+08 1.5587734357276806e+08 1.5427033797591692e+08 1.5311503613435048e+08 1.5269925108740184e+08 1.5344184977813774e+08 1.5595179596965492e+08 1.6115193648728827e+08 1.7050304316375104e+08 1.8646824559859851e+08 5.0169387775009573e+07 +7.8803934644880567e+00 3.8305337659026080e+08 3.8301630425925565e+08 3.8295386281986779e+08 3.8287251147631502e+08 3.8279215682020897e+08 3.8274355743324906e+08 3.8274029363003123e+08 3.8275917126693332e+08 3.8277660871378899e+08 3.8278760985135758e+08 3.8279460726164436e+08 3.8279753927730286e+08 3.8279529448463535e+08 3.8278703622221619e+08 3.8277207059896487e+08 3.8274940599914831e+08 3.8271789258630037e+08 3.8267630056093615e+08 3.8262320962279642e+08 3.8255688237227792e+08 3.8247524624256080e+08 3.8237569410315156e+08 3.8225400450724453e+08 3.8210277838582790e+08 3.8191721886801803e+08 3.8169554131465489e+08 3.8143179718366766e+08 3.8111802630193532e+08 3.8074513702908146e+08 3.8030239674896377e+08 3.7977707078657782e+08 3.7915402877314949e+08 3.7841529944966996e+08 3.7753956859488225e+08 3.7650163755107623e+08 3.7527178440254593e+08 3.7381516270838988e+08 3.7209121304318750e+08 3.7005327721578771e+08 3.6764842736711031e+08 3.6458830963108873e+08 3.6095789636806738e+08 3.5667568257801116e+08 3.5166312305877650e+08 3.4585295575379944e+08 3.3919999931936556e+08 3.3169346252090949e+08 3.2336869153721279e+08 3.1431566626106662e+08 3.0467874897536671e+08 2.9464797398446029e+08 2.8445030826241606e+08 2.7432812593585289e+08 2.6449372383131313e+08 2.5512363333489448e+08 2.4635208980360600e+08 2.3825869487033948e+08 2.3087970938993350e+08 2.2421253507831371e+08 2.1823761271006083e+08 2.1291126460340109e+08 2.0819263951668051e+08 2.0402754060677975e+08 2.0037708426494995e+08 1.9719214231021240e+08 1.9442924703182691e+08 1.9205492921756417e+08 1.9002879470442402e+08 1.8831113265731207e+08 1.8687403611120021e+08 1.8567927419390732e+08 1.8470202780967814e+08 1.8391154646043667e+08 1.8328297887609869e+08 1.8278069907124424e+08 1.8236908551558962e+08 1.8202378088682482e+08 1.8172037256018108e+08 1.8143289555537125e+08 1.8122908136824518e+08 1.8102316222293401e+08 1.8081299921991318e+08 1.8059285438305646e+08 1.8036574641061091e+08 1.8012495899314973e+08 1.7987955344135982e+08 1.7960623780331084e+08 1.7931373466191807e+08 1.7899666229655066e+08 1.7865081827923414e+08 1.7827109591360116e+08 1.7785174241462967e+08 1.7738430151433146e+08 1.7687073537856731e+08 1.7629020188478422e+08 1.7563932714380559e+08 1.7490866754416358e+08 1.7408806019227639e+08 1.7316702457332677e+08 1.7213504822044706e+08 1.7098032080471590e+08 1.6970539397804457e+08 1.6828657305170038e+08 1.6672932307573125e+08 1.6503724614725071e+08 1.6322361397300389e+08 1.6131100747879013e+08 1.5934240700670359e+08 1.5738160095511663e+08 1.5553424987336838e+08 1.5393078146797249e+08 1.5277802259576762e+08 1.5236315319590545e+08 1.5310411749201298e+08 1.5560853907617468e+08 1.6079723374719530e+08 1.7012775870888150e+08 1.8605781935940981e+08 5.0015193250877365e+07 +7.8853617872623145e+00 3.8260162077642280e+08 3.8256459006687999e+08 3.8250221635110438e+08 3.8242094976427919e+08 3.8234067044288278e+08 3.8229209888812327e+08 3.8228879932894486e+08 3.8230760575650388e+08 3.8232496315935379e+08 3.8233587871361917e+08 3.8234277943391997e+08 3.8234560098249692e+08 3.8234323003754264e+08 3.8233482711111265e+08 3.8231969473334688e+08 3.8229683737232429e+08 3.8226510033432424e+08 3.8222324786723167e+08 3.8216985262916338e+08 3.8210316906753743e+08 3.8202111512671065e+08 3.8192107270242018e+08 3.8179880691750020e+08 3.8164689605200529e+08 3.8146050918230444e+08 3.8123784187398672e+08 3.8097293405823511e+08 3.8065780385270989e+08 3.8028333081248778e+08 3.7983874964747322e+08 3.7931128975892049e+08 3.7868578197471309e+08 3.7794421399447316e+08 3.7706522938142067e+08 3.7602358772481740e+08 3.7478952831497294e+08 3.7332817229988253e+08 3.7159893890698296e+08 3.6955516565755624e+08 3.6714394502828777e+08 3.6407644974981844e+08 3.6043822826903081e+08 3.5614796867144758e+08 3.5112739948809087e+08 3.4530961546054369e+08 3.3864986485833859e+08 3.3113783132271868e+08 3.2280933456306750e+08 3.1375476409084123e+08 3.0411876455959648e+08 2.9409147426998568e+08 2.8389973835832494e+08 2.7378559286565512e+08 2.6396088174667186e+08 2.5460160542280927e+08 2.4584145585587004e+08 2.3775956185081631e+08 2.3039180377969575e+08 2.2373531762289411e+08 2.1777035771997198e+08 2.1245316253063497e+08 2.0774283072046921e+08 2.0358518255693021e+08 1.9994134126706007e+08 1.9676223124969611e+08 1.9400443894300219e+08 1.9163453566118136e+08 1.8961219387336412e+08 1.8789777128717685e+08 1.8646340593150160e+08 1.8527093991189390e+08 1.8429559385007852e+08 1.8350667335585669e+08 1.8287936839117175e+08 1.8237811796057898e+08 1.8196736804656270e+08 1.8162280188777238e+08 1.8132005117734602e+08 1.8103320337292302e+08 1.8082983725092846e+08 1.8062437143677440e+08 1.8041467138264287e+08 1.8019501158545244e+08 1.7996840402521488e+08 1.7972814762208340e+08 1.7948328144414294e+08 1.7921056802506307e+08 1.7891870937132797e+08 1.7860233561819914e+08 1.7825725359524462e+08 1.7787836785596392e+08 1.7745993828874242e+08 1.7699352770495403e+08 1.7648109171038765e+08 1.7590183722353563e+08 1.7525239644822603e+08 1.7452334657716087e+08 1.7370454710520223e+08 1.7278554060593942e+08 1.7175583777145845e+08 1.7060365472501054e+08 1.6933153534497762e+08 1.6791584015129951e+08 1.6636202086388433e+08 1.6467367164472255e+08 1.6286403496310228e+08 1.6095564199980301e+08 1.5899137841180316e+08 1.5703489247261205e+08 1.5519160998612225e+08 1.5359167409298834e+08 1.5244145482620460e+08 1.5202749985972261e+08 1.5276683192259112e+08 1.5526573620733741e+08 1.6044300017158014e+08 1.6975297063935986e+08 1.8564793599573475e+08 4.9861413648005866e+07 +7.8903301100365724e+00 3.8214919359580833e+08 3.8211220092604041e+08 3.8204989712920803e+08 3.8196871576606852e+08 3.8188851200406033e+08 3.8183996840450227e+08 3.8183663320290649e+08 3.8185536852854866e+08 3.8187264603520244e+08 3.8188347620080459e+08 3.8189028047716153e+08 3.8189299186920536e+08 3.8189049515398216e+08 3.8188194803357178e+08 3.8186664947158045e+08 3.8184360003803670e+08 3.8181164020123661e+08 3.8176952828184652e+08 3.8171582992401189e+08 3.8164879145652759e+08 3.8156632137509453e+08 3.8146579064780349e+08 3.8134295103076547e+08 3.8119035826232755e+08 3.8100314749417853e+08 3.8077949457043415e+08 3.8051342796578491e+08 3.8019694420295060e+08 3.7982089417777026e+08 3.7937448009422040e+08 3.7884489562538904e+08 3.7821693301818967e+08 3.7747253918595958e+08 3.7659031576457405e+08 3.7554498091529995e+08 3.7430673549320734e+08 3.7284066862985867e+08 3.7110617862673819e+08 3.6905659915588182e+08 3.6663904346648914e+08 3.6356421452906799e+08 3.5991823481312346e+08 3.5561998572947425e+08 3.5059146950913554e+08 3.4476613727561098e+08 3.3809966600542969e+08 3.3058221275518095e+08 3.2225006875083482e+08 3.1319403067375070e+08 3.0355902289981812e+08 2.9353528519017470e+08 2.8334953881848890e+08 2.7324348050053096e+08 2.6342850089550072e+08 2.5408006986806396e+08 2.4533133703190589e+08 2.3726095974497578e+08 2.2990443937647226e+08 2.2325864753577769e+08 2.1730365331826130e+08 2.1199561223039719e+08 2.0729357356493711e+08 2.0314337517559597e+08 1.9950614751234543e+08 1.9633286777344435e+08 1.9358017669419694e+08 1.9121468623843300e+08 1.8919613554150280e+08 1.8748495086605179e+08 1.8605331526323736e+08 1.8486314378147829e+08 1.8388969678494641e+08 1.8310233597720966e+08 1.8247629256686237e+08 1.8197607052965561e+08 1.8156618332694587e+08 1.8122235476923940e+08 1.8092026085635760e+08 1.8063404143787894e+08 1.8043112279116708e+08 1.8022610970858163e+08 1.8001687198912045e+08 1.7979769658791628e+08 1.7957158877544275e+08 1.7933186267942646e+08 1.7908753516576797e+08 1.7881542316625926e+08 1.7852420814471748e+08 1.7820853207635313e+08 1.7786421103641212e+08 1.7748616081309456e+08 1.7706865395113379e+08 1.7660327231424570e+08 1.7609196496773580e+08 1.7551398779047555e+08 1.7486597907807857e+08 1.7413853679947460e+08 1.7332154280863073e+08 1.7240456273656815e+08 1.7137713040372548e+08 1.7022748834841797e+08 1.6895817269643521e+08 1.6754559908824882e+08 1.6599520593747342e+08 1.6431057948180178e+08 1.6250493299182507e+08 1.6060074796896449e+08 1.5864081551119068e+08 1.5668864395056084e+08 1.5484942466682076e+08 1.5325301659909433e+08 1.5210533356803754e+08 1.5169229181956676e+08 1.5242999381417260e+08 1.5492338811950698e+08 1.6008923654206327e+08 1.6937867978229940e+08 1.8523859641169432e+08 4.9708048126343787e+07 +7.8952984328108302e+00 3.8169609917777348e+08 3.8165914713160968e+08 3.8159691105038261e+08 3.8151581525976276e+08 3.8143568735862219e+08 3.8138717182741147e+08 3.8138380109850842e+08 3.8140246543029714e+08 3.8141966318940514e+08 3.8143040816147166e+08 3.8143711623965955e+08 3.8143971778598493e+08 3.8143709568320554e+08 3.8142840483844972e+08 3.8141294066232026e+08 3.8138969984455520e+08 3.8135751803553468e+08 3.8131514765240073e+08 3.8126114735504037e+08 3.8119375538667446e+08 3.8111087083396524e+08 3.8100985378441823e+08 3.8088644269176286e+08 3.8073317085915411e+08 3.8054513964506757e+08 3.8032050524217945e+08 3.8005328474149001e+08 3.7973545318473965e+08 3.7935783295255655e+08 3.7890959391158020e+08 3.7837789420110351e+08 3.7774748771059853e+08 3.7700028082104832e+08 3.7611483352903312e+08 3.7506582289138246e+08 3.7382341168725681e+08 3.7235265742321444e+08 3.7061293789637703e+08 3.6855758336561233e+08 3.6613372828796434e+08 3.6305160950816202e+08 3.5939792145584714e+08 3.5509173910172683e+08 3.5005533833981091e+08 3.4422252625462317e+08 3.3754940762329632e+08 3.3002661145258659e+08 3.2169089847330153e+08 3.1263347009363443e+08 3.0299952776748484e+08 2.9297941019487798e+08 2.8279971277112728e+08 2.7270179165891761e+08 2.6289658380802405e+08 2.5355902894231522e+08 2.4482173537525073e+08 2.3676289040077043e+08 2.2941761786169541e+08 2.2278252635840994e+08 2.1683750092951158e+08 2.1153861502969286e+08 2.0684486929541767e+08 2.0270211963912699e+08 1.9907150411996576e+08 1.9590405295220590e+08 1.9315646131540543e+08 1.9079538194575909e+08 1.8878062067739275e+08 1.8707267233896512e+08 1.8564376503282353e+08 1.8445588671438551e+08 1.8348433751445779e+08 1.8269853521646377e+08 1.8207375228835532e+08 1.8157455765947342e+08 1.8116553223437858e+08 1.8082244040684438e+08 1.8052100247092834e+08 1.8023541062274352e+08 1.8003293886072293e+08 1.7982837790847915e+08 1.7961960190896276e+08 1.7940091025883421e+08 1.7917530152873069e+08 1.7893610503138724e+08 1.7869231547143018e+08 1.7842080409054264e+08 1.7813023184423083e+08 1.7781525253190744e+08 1.7747169146184543e+08 1.7709447564223307e+08 1.7667789025735348e+08 1.7621353619558161e+08 1.7570335600108972e+08 1.7512665443338078e+08 1.7448007587782305e+08 1.7375423905216196e+08 1.7293904813947880e+08 1.7202409179784870e+08 1.7099892694508010e+08 1.6985182249739888e+08 1.6858530684831718e+08 1.6717585067163259e+08 1.6562887909826109e+08 1.6394797045199183e+08 1.6214630884376341e+08 1.6024632616185236e+08 1.5829071907084495e+08 1.5634285614575326e+08 1.5450769466347730e+08 1.5291480972651836e+08 1.5176965955599391e+08 1.5135752980806643e+08 1.5209360390278724e+08 1.5458149556093404e+08 1.5973594363189045e+08 1.6900488695590922e+08 1.8482980150209692e+08 4.9555095846158713e+07 +7.9002667555850881e+00 3.8124234285500026e+08 3.8120543284207869e+08 3.8114326419849551e+08 3.8106225414204031e+08 3.8098220232027435e+08 3.8093371498910266e+08 3.8093030884745872e+08 3.8094890229482448e+08 3.8096602045507723e+08 3.8097668042895424e+08 3.8098329255509055e+08 3.8098578456642610e+08 3.8098303745873648e+08 3.8097420335930419e+08 3.8095857413979131e+08 3.8093514262610507e+08 3.8090273967043865e+08 3.8086011181302124e+08 3.8080581075488847e+08 3.8073806668982738e+08 3.8065476933415914e+08 3.8055326794298697e+08 3.8042928772905290e+08 3.8027533967027044e+08 3.8008649145994782e+08 3.7986087971223670e+08 3.7959251020527780e+08 3.7927333661414737e+08 3.7889415294807833e+08 3.7844409690596682e+08 3.7791029128605688e+08 3.7727745184391487e+08 3.7652744468108374e+08 3.7563878844344485e+08 3.7458611940562111e+08 3.7333956262943071e+08 3.7186414438784677e+08 3.7011922239241529e+08 3.6805812392395669e+08 3.6562800508120191e+08 3.6253864020844239e+08 3.5887729363390678e+08 3.5456323411833596e+08 3.4951901117862529e+08 3.4367878743513572e+08 3.3699909455467552e+08 3.2947103202960205e+08 3.2113182808442169e+08 3.1207308641340691e+08 3.0244028291589272e+08 2.9242385271494716e+08 2.8225026332547492e+08 2.7216052914198554e+08 2.6236513299863124e+08 2.5303848490094677e+08 2.4431265291438180e+08 2.3626535565113032e+08 2.2893134090311325e+08 2.2230695561925215e+08 2.1637190196598172e+08 2.1108217224363530e+08 2.0639671914558515e+08 2.0226141711305699e+08 1.9863741219820300e+08 1.9547578784615541e+08 1.9273329382675320e+08 1.9037662376923358e+08 1.8836565023913205e+08 1.8666093664142960e+08 1.8523475615749401e+08 1.8404916961290613e+08 1.8307951692950720e+08 1.8229527195577121e+08 1.8167174843225279e+08 1.8117358022186497e+08 1.8076541563762519e+08 1.8042305966699499e+08 1.8012227688591284e+08 1.7983731179066902e+08 1.7963528632142875e+08 1.7943117689781740e+08 1.7922286200218633e+08 1.7900465345717320e+08 1.7877954314302677e+08 1.7854087553500533e+08 1.7829762321662417e+08 1.7802671165249792e+08 1.7773678132287547e+08 1.7742249783636263e+08 1.7707969572135854e+08 1.7670331319145334e+08 1.7628764805338183e+08 1.7582432019269136e+08 1.7531526565193570e+08 1.7473983799088684e+08 1.7409468768318358e+08 1.7337045416733879e+08 1.7255706392605171e+08 1.7164412861368096e+08 1.7062122821438950e+08 1.6947665798533675e+08 1.6821293860825855e+08 1.6680659570208749e+08 1.6526304113926831e+08 1.6358584534046510e+08 1.6178816329557273e+08 1.5989237734594354e+08 1.5794108984881407e+08 1.5599752980684435e+08 1.5416642071592698e+08 1.5257705420749056e+08 1.5143443351677400e+08 1.5102321455004221e+08 1.5175766291701531e+08 1.5424005927172339e+08 1.5938312220585001e+08 1.6863159296928400e+08 1.8442155215198562e+08 4.9402555968045406e+07 +7.9052350783593459e+00 3.8078793018137640e+08 3.8075106225491214e+08 3.8068896291507161e+08 3.8060803834326804e+08 3.8052806267002702e+08 3.8047960370806348e+08 3.8047616226663810e+08 3.8049468493999791e+08 3.8051172365104842e+08 3.8052229882129627e+08 3.8052881524187982e+08 3.8053119802931434e+08 3.8052832629968446e+08 3.8051934941533738e+08 3.8050355572238117e+08 3.8047993420047313e+08 3.8044731092480534e+08 3.8040442658068728e+08 3.8034982594124871e+08 3.8028173118317014e+08 3.8019802269243318e+08 3.8009603893824565e+08 3.7997149195637643e+08 3.7981687050763828e+08 3.7962720874896967e+08 3.7940062378866315e+08 3.7913111016207230e+08 3.7881060029209197e+08 3.7842985996146953e+08 3.7797799486832780e+08 3.7744209266459036e+08 3.7680683119343102e+08 3.7605403653175509e+08 3.7516218626020199e+08 3.7410587619441491e+08 3.7285519403566742e+08 3.7137513521445698e+08 3.6962503777399099e+08 3.6755822645088083e+08 3.6512187941586357e+08 3.6202531213321787e+08 3.5835635676522022e+08 3.5403447609137535e+08 3.4898249320469463e+08 3.4313492583411574e+08 3.3644873162220663e+08 3.2891547908031839e+08 3.2057286191673607e+08 3.1151288367707562e+08 3.0188129207789218e+08 2.9186861616139239e+08 2.8170119357334638e+08 2.7161969573278588e+08 2.6183415096454924e+08 2.5251843998344666e+08 2.4380409166268858e+08 2.3576835731525710e+08 2.2844561015484437e+08 2.2183193683471641e+08 2.1590685782799473e+08 2.1062628517552859e+08 2.0594912433788934e+08 2.0182126875203583e+08 1.9820387284451687e+08 1.9504807350499183e+08 1.9231067523758870e+08 1.8995841268507048e+08 1.8795122517519152e+08 1.8624974469920915e+08 1.8482628954424384e+08 1.8364299336966220e+08 1.8267523591166681e+08 1.8189254706805077e+08 1.8127028186506680e+08 1.8077313907906443e+08 1.8036583439594135e+08 1.8002421340664732e+08 1.7972408495646372e+08 1.7943974579546565e+08 1.7923816602637312e+08 1.7903450752858564e+08 1.7882665311977807e+08 1.7860892703303039e+08 1.7838431446717876e+08 1.7814617503797263e+08 1.7790345924810281e+08 1.7763314669705322e+08 1.7734385742474106e+08 1.7703026883189467e+08 1.7668822465561908e+08 1.7631267429957941e+08 1.7589792817609975e+08 1.7543562514033210e+08 1.7492769475262678e+08 1.7435353929265228e+08 1.7370981532044673e+08 1.7298718296800494e+08 1.7217559098764849e+08 1.7126467399877828e+08 1.7024403502178919e+08 1.6910199561670291e+08 1.6784106877453452e+08 1.6643783497142738e+08 1.6489769284541151e+08 1.6322420492387632e+08 1.6143049711536720e+08 1.5953890228026214e+08 1.5759192859488252e+08 1.5565266567448673e+08 1.5382560355617929e+08 1.5223975076642069e+08 1.5109965616949978e+08 1.5068934676248831e+08 1.5142217157728347e+08 1.5389907998438451e+08 1.5903077302079436e+08 1.6825879862308496e+08 1.8401384923693007e+08 4.9250427652934402e+07 +7.9102034011336038e+00 3.8033286989328551e+08 3.8029604283427179e+08 3.8023401280931640e+08 3.8015317364375627e+08 3.8007327418012065e+08 3.8002484378929877e+08 3.8002136715924364e+08 3.8003981916866302e+08 3.8005677858030850e+08 3.8006726914233130e+08 3.8007369010360169e+08 3.8007596397820753e+08 3.8007296800961912e+08 3.8006384880974859e+08 3.8004789121399134e+08 3.8002408037173957e+08 3.7999123760123038e+08 3.7994809775885737e+08 3.7989319871597075e+08 3.7982475466798574e+08 3.7974063670892483e+08 3.7963817257009089e+08 3.7951306117259377e+08 3.7935776916807163e+08 3.7916729730664772e+08 3.7893974326295072e+08 3.7866909040052783e+08 3.7834725000437248e+08 3.7796495977315748e+08 3.7751129357345456e+08 3.7697330410452247e+08 3.7633563151897180e+08 3.7558006212160206e+08 3.7468503271534765e+08 3.7362509897726959e+08 3.7237031160555375e+08 3.7088563557752299e+08 3.6913038968363082e+08 3.6705789654889703e+08 3.6461535684443188e+08 3.6151163076756555e+08 3.5783511624996608e+08 3.5350547031336343e+08 3.4844578957772607e+08 3.4259094644936764e+08 3.3589832362887263e+08 3.2835995717902607e+08 3.2001400428362405e+08 3.1095286590760541e+08 3.0132255896646786e+08 2.9131370392775851e+08 2.8115250658735788e+08 2.7107929419716114e+08 2.6130364018603125e+08 2.5199889641360167e+08 2.4329605361877191e+08 2.3527189719803712e+08 2.2796042725786012e+08 2.2135747150732389e+08 2.1544236990300658e+08 2.1017095511687365e+08 2.0550208608293006e+08 2.0138167569945741e+08 1.9777088714563307e+08 1.9462091096771979e+08 1.9188860654738763e+08 1.8954074965940940e+08 1.8753734642419475e+08 1.8583909742800587e+08 1.8441836609089762e+08 1.8323735886783290e+08 1.8227149533272088e+08 1.8149036141691732e+08 1.8086935344388801e+08 1.8037323508389074e+08 1.7996678935914710e+08 1.7962590247358087e+08 1.7932642752867040e+08 1.7904271348178080e+08 1.7884157881906804e+08 1.7863837064318997e+08 1.7843097610338265e+08 1.7821373182679391e+08 1.7798961634065109e+08 1.7775200437836611e+08 1.7750982440287781e+08 1.7724011006045252e+08 1.7695146098421609e+08 1.7663856635174304e+08 1.7629727909629491e+08 1.7592255979644594e+08 1.7550873145351002e+08 1.7504745186432743e+08 1.7454064412626705e+08 1.7396775915919149e+08 1.7332545960732281e+08 1.7260442626851612e+08 1.7179463013439068e+08 1.7088572875943208e+08 1.6986734816836160e+08 1.6872783618749875e+08 1.6746969813719055e+08 1.6606956926315504e+08 1.6453283499239802e+08 1.6286304997045270e+08 1.6107331106283125e+08 1.5918590171583638e+08 1.5724323605097228e+08 1.5530826448133051e+08 1.5348524390804374e+08 1.5190290011976781e+08 1.5076532822508654e+08 1.5035592715467945e+08 1.5108713059615511e+08 1.5355855842320600e+08 1.5867889682509825e+08 1.6788650470938393e+08 1.8360669362296307e+08 4.9098710062100247e+07 +7.9151717239078616e+00 3.7987716726005328e+08 3.7984038057181579e+08 3.7977842030279863e+08 3.7969766566543901e+08 3.7961784263074118e+08 3.7956944102227932e+08 3.7956592931267130e+08 3.7958431076879859e+08 3.7960119103087687e+08 3.7961159718004185e+08 3.7961792292824602e+08 3.7962008820127565e+08 3.7961696837631559e+08 3.7960770733139336e+08 3.7959158640291739e+08 3.7956758692794001e+08 3.7953452548811567e+08 3.7949113113473159e+08 3.7943593486672896e+08 3.7936714293120509e+08 3.7928261716963607e+08 3.7917967462312341e+08 3.7905400116075456e+08 3.7889804143330598e+08 3.7870676291256255e+08 3.7847824391229105e+08 3.7820645669462800e+08 3.7788329152002978e+08 3.7749945814839458e+08 3.7704399878109241e+08 3.7650393135831910e+08 3.7586385856409514e+08 3.7510552718398666e+08 3.7420733352844852e+08 3.7314379345781827e+08 3.7188492102206081e+08 3.7039565113382816e+08 3.6863528374641627e+08 3.6655713980273032e+08 3.6410844290224701e+08 3.6099760157805067e+08 3.5731357746880817e+08 3.5297622205784261e+08 3.4790890543870872e+08 3.4204685425883722e+08 3.3534787535759670e+08 3.2780447088003033e+08 3.1945525947791111e+08 3.1039303710938329e+08 3.0076408727529317e+08 2.9075911938695371e+08 2.8060420542214274e+08 2.7053932728321439e+08 2.6077360312725660e+08 2.5147985639911911e+08 2.4278854076589483e+08 2.3477597708979848e+08 2.2747579383910656e+08 2.2088356112744409e+08 2.1497843956685460e+08 2.0971618334734473e+08 2.0505560558063090e+08 2.0094263908777627e+08 1.9733845617769402e+08 1.9419430126358968e+08 1.9146708874520481e+08 1.8912363564823058e+08 1.8712401491464752e+08 1.8542899573425952e+08 1.8401098668532351e+08 1.8283226698108292e+08 1.8186829605514166e+08 1.8108871585621700e+08 1.8046896401703969e+08 1.7997386908015221e+08 1.7956828136774212e+08 1.7922812770614749e+08 1.7892930543910995e+08 1.7864621568485889e+08 1.7844552553389373e+08 1.7824276707518542e+08 1.7803583178534570e+08 1.7781906867011887e+08 1.7759544959395543e+08 1.7735836438572899e+08 1.7711671950913620e+08 1.7684760256934798e+08 1.7655959282690227e+08 1.7624739122002313e+08 1.7590685986582756e+08 1.7553297050294212e+08 1.7512005870423537e+08 1.7465980118105912e+08 1.7415411458729497e+08 1.7358249840197048e+08 1.7294162135239518e+08 1.7222218487382817e+08 1.7141418216795602e+08 1.7050729369274852e+08 1.6949116844660857e+08 1.6835418048474509e+08 1.6709882747756639e+08 1.6570179935189813e+08 1.6416846834802541e+08 1.6250238123992509e+08 1.6071660588948059e+08 1.5883337639513639e+08 1.5689501295049238e+08 1.5496432695179397e+08 1.5314534248761865e+08 1.5156650297632220e+08 1.5043145038711309e+08 1.5002295642791805e+08 1.5075254067858425e+08 1.5321849530444974e+08 1.5832749435919902e+08 1.6751471201129922e+08 1.8320008616651568e+08 4.8947402357169956e+07 +7.9201400466821195e+00 3.7942082407233453e+08 3.7938407898856926e+08 3.7932218897155368e+08 3.7924151997974449e+08 3.7916177381197321e+08 3.7911340118047446e+08 3.7910985449988413e+08 3.7912816551356626e+08 3.7914496677571213e+08 3.7915528870717531e+08 3.7916151948941934e+08 3.7916357647190160e+08 3.7916033317433631e+08 3.7915093075339210e+08 3.7913464706260031e+08 3.7911045964206934e+08 3.7907718035820937e+08 3.7903353248079014e+08 3.7897804016485417e+08 3.7890890174325716e+08 3.7882396984490275e+08 3.7872055086594373e+08 3.7859431768843430e+08 3.7843769306894159e+08 3.7824561133069366e+08 3.7801613149785733e+08 3.7774321480251390e+08 3.7741873059394193e+08 3.7703336083655131e+08 3.7657611623473048e+08 3.7603398016270453e+08 3.7539151805684739e+08 3.7463043743574232e+08 3.7372909440333688e+08 3.7266196532259107e+08 3.7139902795129663e+08 3.6990518752397776e+08 3.6813972557033789e+08 3.6605596178033012e+08 3.6360114310594314e+08 3.6048323001331425e+08 3.5679174578466010e+08 3.5244673657987422e+08 3.4737184590868789e+08 3.4150265422087723e+08 3.3479739157113338e+08 3.2724902471741432e+08 3.1889663177318418e+08 3.0983340126621258e+08 3.0020588067954957e+08 2.9020486589389861e+08 2.8005629311399245e+08 2.6999979772189277e+08 2.6024404223492813e+08 2.5096132213249415e+08 2.4228155507305729e+08 2.3428059876740041e+08 2.2699171151293185e+08 2.2041020717221197e+08 2.1451506818253386e+08 2.0926197113488024e+08 2.0460968401904222e+08 2.0050416003844792e+08 1.9690658100631541e+08 1.9376824541067520e+08 1.9104612281020331e+08 1.8870707159793958e+08 1.8671123156556496e+08 1.8501944051443732e+08 1.8360415220616543e+08 1.8242771857351121e+08 1.8146563893191099e+08 1.8068761123084599e+08 1.8006911442294505e+08 1.7957504190201208e+08 1.7917031125327978e+08 1.7883088993357095e+08 1.7853271951552773e+08 1.7825025323075068e+08 1.7805000699588788e+08 1.7784769764860743e+08 1.7764122098891553e+08 1.7742493838508764e+08 1.7720181504821181e+08 1.7696525588029608e+08 1.7672414538587469e+08 1.7645562504167211e+08 1.7616825376912192e+08 1.7585674425165519e+08 1.7551696777762017e+08 1.7514390723049679e+08 1.7473191073802042e+08 1.7427267389853066e+08 1.7376810694096062e+08 1.7319775782380718e+08 1.7255830135533899e+08 1.7184045958051735e+08 1.7103424788082826e+08 1.7012936958700818e+08 1.6911549664043826e+08 1.6798102928711352e+08 1.6672845756812266e+08 1.6533452600381860e+08 1.6380459367123327e+08 1.6214219948370224e+08 1.6036038233840856e+08 1.5848132705262411e+08 1.5654726001886353e+08 1.5462085380262598e+08 1.5280590000314596e+08 1.5123056003674501e+08 1.5009802335095221e+08 1.4969043527615261e+08 1.5041840252153337e+08 1.5287889133667511e+08 1.5797656635500905e+08 1.6714342130349931e+08 1.8279402771479374e+08 4.8796503700131036e+07 +7.9251083694563773e+00 3.7896385088766539e+08 3.7892714611210054e+08 3.7886532484966397e+08 3.7878474236955637e+08 3.7870507350560218e+08 3.7865673001888436e+08 3.7865314847876561e+08 3.7867138916106486e+08 3.7868811157261193e+08 3.7869834948142332e+08 3.7870448554481471e+08 3.7870643454808861e+08 3.7870306816068023e+08 3.7869352483383906e+08 3.7867707895076412e+08 3.7865270427235448e+08 3.7861920796884447e+08 3.7857530755470788e+08 3.7851952036752903e+08 3.7845003686069173e+08 3.7836470048961455e+08 3.7826080705333954e+08 3.7813401650841892e+08 3.7797672982623518e+08 3.7778384830977529e+08 3.7755341176557583e+08 3.7727937046663487e+08 3.7695357296476436e+08 3.7656667357153982e+08 3.7610765166255409e+08 3.7556345623799235e+08 3.7491861570871997e+08 3.7415479857758170e+08 3.7325032102689165e+08 3.7217962024218076e+08 3.7091263804276466e+08 3.6941425037110823e+08 3.6764372074600124e+08 3.6555436803121912e+08 3.6309346295503944e+08 3.5996852150431347e+08 3.5626962654144889e+08 3.5191701911515075e+08 3.4683461608980626e+08 3.4095835127420515e+08 3.3424687701297307e+08 3.2669362320559704e+08 3.1833812542181879e+08 3.0927396234208667e+08 2.9964794283360422e+08 2.8965094678453529e+08 2.7950877268145508e+08 2.6946070822658080e+08 2.5971495994028747e+08 2.5044329578999096e+08 2.4177509849370816e+08 2.3378576399301851e+08 2.2650818187958503e+08 2.1993741110673219e+08 2.1405225710118392e+08 2.0880831973599252e+08 2.0416432257548699e+08 2.0006623966207391e+08 1.9647526268591845e+08 1.9334274441726509e+08 1.9062570971120408e+08 1.8829105844440553e+08 1.8629899728620988e+08 1.8461043265540436e+08 1.8319786352205488e+08 1.8202371449977586e+08 1.8106352480689803e+08 1.8028704837602064e+08 1.7966980549108014e+08 1.7917675437472048e+08 1.7877287983769503e+08 1.7843418997567713e+08 1.7813667057613987e+08 1.7785482693645769e+08 1.7765502402105939e+08 1.7745316317872593e+08 1.7724714452824104e+08 1.7703134178484938e+08 1.7680871351551712e+08 1.7657267967297673e+08 1.7633210284291250e+08 1.7606417828600326e+08 1.7577744461841869e+08 1.7546662625252983e+08 1.7512760363603786e+08 1.7475537078190082e+08 1.7434428835591844e+08 1.7388607081514901e+08 1.7338262198341206e+08 1.7281353821831679e+08 1.7217550040690607e+08 1.7145925117604622e+08 1.7065482805680850e+08 1.6975195722211453e+08 1.6874033352471185e+08 1.6760838336438027e+08 1.6635858917320850e+08 1.6496774997659677e+08 1.6344121171298248e+08 1.6178250544484439e+08 1.6000464114454132e+08 1.5812975441472489e+08 1.5619997797378665e+08 1.5427784574227509e+08 1.5246691715476677e+08 1.5089507199407700e+08 1.4976504780463237e+08 1.4935836438520119e+08 1.5008471681465024e+08 1.5253974722059128e+08 1.5762611353654429e+08 1.6677263335182562e+08 1.8238851910542789e+08 4.8646013253339842e+07 +7.9300766922306352e+00 3.7850624787719530e+08 3.7846958712476128e+08 3.7840783414906371e+08 3.7832733881639409e+08 3.7824774746876472e+08 3.7819943327519584e+08 3.7819581699260962e+08 3.7821398745429993e+08 3.7823063116416031e+08 3.7824078524567562e+08 3.7824682683771265e+08 3.7824866817269206e+08 3.7824517907917184e+08 3.7823549531594062e+08 3.7821888781063676e+08 3.7819432656131935e+08 3.7816061406284630e+08 3.7811646209786898e+08 3.7806038121595800e+08 3.7799055402406847e+08 3.7790481484366405e+08 3.7780044892354590e+08 3.7767310335782611e+08 3.7751515744055200e+08 3.7732147958247596e+08 3.7709009044607490e+08 3.7681492941449344e+08 3.7648782435529655e+08 3.7609940207165587e+08 3.7563861077658743e+08 3.7509236528979105e+08 3.7444515721603960e+08 3.7367861629433340e+08 3.7277101907049143e+08 3.7169676387079763e+08 3.7042575692919785e+08 3.6892284528188151e+08 3.6714727484751135e+08 3.6505236408863091e+08 3.6258540793064982e+08 3.5945348146341652e+08 3.5574722506466186e+08 3.5138707488056445e+08 3.4629722106473607e+08 3.4041395033814210e+08 3.3369633640656573e+08 3.2613827083901519e+08 3.1777974465772116e+08 3.0871472428147024e+08 2.9909027737351626e+08 2.8909736537555695e+08 2.7896164712440068e+08 2.6892206149303877e+08 2.5918635865747711e+08 2.4992577953287584e+08 2.4126917296674922e+08 2.3329147451544130e+08 2.2602520652621600e+08 2.1946517438273969e+08 2.1359000766214660e+08 2.0835523039506483e+08 2.0371952241544947e+08 1.9962887905852023e+08 1.9604450226137924e+08 1.9291779928107551e+08 1.9020585040732703e+08 1.8787559711408851e+08 1.8588731297562650e+08 1.8420197303423560e+08 1.8279212149277878e+08 1.8162025560517246e+08 1.8066195451409549e+08 1.7988702811790001e+08 1.7927103804139784e+08 1.7877900731407160e+08 1.7837598793402374e+08 1.7803802864348313e+08 1.7774115943011585e+08 1.7745993760968539e+08 1.7726057741639581e+08 1.7705916447123021e+08 1.7685360320829794e+08 1.7663827967335457e+08 1.7641614579890528e+08 1.7618063656579804e+08 1.7594059268115723e+08 1.7567326310191777e+08 1.7538716617276263e+08 1.7507703801968169e+08 1.7473876823641559e+08 1.7436736195078263e+08 1.7395719234947348e+08 1.7349999272063655e+08 1.7299766050237206e+08 1.7242984037043059e+08 1.7179321928905708e+08 1.7107856043906924e+08 1.7027592347107667e+08 1.6937505736890313e+08 1.6836567986581218e+08 1.6723624347781381e+08 1.6598922304816183e+08 1.6460147201959917e+08 1.6307832321527517e+08 1.6142329985820639e+08 1.5964938303451282e+08 1.5777865919948271e+08 1.5585316752440584e+08 1.5393530347152618e+08 1.5212839463498127e+08 1.5056003953371638e+08 1.4943252442823702e+08 1.4902674443348837e+08 1.4975148423920733e+08 1.5220106364889911e+08 1.5727613661971119e+08 1.6640234891396314e+08 1.8198356116678354e+08 4.8495930179529771e+07 +7.9350450150048930e+00 3.7804802636413175e+08 3.7801140898269343e+08 3.7794972341172326e+08 3.7786931523424000e+08 3.7778980142531103e+08 3.7774151666877812e+08 3.7773786576957875e+08 3.7775596612096792e+08 3.7777253127820969e+08 3.7778260172749621e+08 3.7778854909526932e+08 3.7779028307333016e+08 3.7778667165728688e+08 3.7777684792746168e+08 3.7776007936999363e+08 3.7773533223637217e+08 3.7770140436715233e+08 3.7765700183728319e+08 3.7760062843638861e+08 3.7753045895873517e+08 3.7744431863132840e+08 3.7733948220021057e+08 3.7721158395890373e+08 3.7705298163154644e+08 3.7685851086727571e+08 3.7662617325436097e+08 3.7634989735743707e+08 3.7602149047324294e+08 3.7563155203924465e+08 3.7516899927325219e+08 3.7462071300628573e+08 3.7397114825794566e+08 3.7320189625452232e+08 3.7229119418867970e+08 3.7121340184592229e+08 3.6993839022662205e+08 3.6843097784567851e+08 3.6665039343070090e+08 3.6454995546735233e+08 3.6207698349661481e+08 3.5893811528450102e+08 3.5522454666141605e+08 3.5085690907440412e+08 3.4575966589733428e+08 3.3986945631211585e+08 3.3314577445581424e+08 3.2558297209184957e+08 3.1722149369370687e+08 3.0815569100928205e+08 2.9853288791522872e+08 2.8854412496535438e+08 2.7841491942470127e+08 2.6838386020039761e+08 2.5865824078409681e+08 2.4940877550603715e+08 2.4076378041657513e+08 2.3279773206917197e+08 2.2554278702722996e+08 2.1899349843959758e+08 2.1312832119201046e+08 2.0790270434545723e+08 2.0327528469372156e+08 1.9919207931644991e+08 1.9561430076626670e+08 1.9249341098955202e+08 1.8978654584708586e+08 1.8746068852347580e+08 1.8547617952378416e+08 1.8379406251908195e+08 1.8238692696794021e+08 1.8121734272556376e+08 1.8026092887873358e+08 1.7948755127328762e+08 1.7887281288498268e+08 1.7838180152672338e+08 1.7797963634581077e+08 1.7764240673860201e+08 1.7734618687745520e+08 1.7706558604922163e+08 1.7686666797952348e+08 1.7666570232319957e+08 1.7646059782500485e+08 1.7624575284563038e+08 1.7602411269218194e+08 1.7578912735140365e+08 1.7554961569245955e+08 1.7528288028006569e+08 1.7499741922182304e+08 1.7468798034091595e+08 1.7435046236514148e+08 1.7397988152200165e+08 1.7357062350167614e+08 1.7311444039608219e+08 1.7261322327617502e+08 1.7204666505614829e+08 1.7141145877496305e+08 1.7069838813944787e+08 1.6989753488994163e+08 1.6899867078966737e+08 1.6799153642155674e+08 1.6686461038000003e+08 1.6562035993994641e+08 1.6423569287337276e+08 1.6271592891211271e+08 1.6106458345018032e+08 1.5929460872689041e+08 1.5742804211701012e+08 1.5550682937229624e+08 1.5359322768318418e+08 1.5179033312834430e+08 1.5022546333329242e+08 1.4910045389433232e+08 1.4869557609162021e+08 1.4941870546938637e+08 1.5186284130644566e+08 1.5692663631242767e+08 1.6603256873858476e+08 1.8157915471788093e+08 4.8346253641819090e+07 +7.9400133377791509e+00 3.7758919119579291e+08 3.7755261288541937e+08 3.7749099854272616e+08 3.7741067728389275e+08 3.7733124106645048e+08 3.7728298590311939e+08 3.7727930052190322e+08 3.7729733087392455e+08 3.7731381762645835e+08 3.7732380463832122e+08 3.7732965803034037e+08 3.7733128496238178e+08 3.7732755160747820e+08 3.7731758838056678e+08 3.7730065934141350e+08 3.7727572700981635e+08 3.7724158459372813e+08 3.7719693248443264e+08 3.7714026773965818e+08 3.7706975737507212e+08 3.7698321756199276e+08 3.7687791259085661e+08 3.7674946401767707e+08 3.7659020810435784e+08 3.7639494786581421e+08 3.7616166588947386e+08 3.7588427999149925e+08 3.7555457701089543e+08 3.7516312916154116e+08 3.7469882283364546e+08 3.7414850506110072e+08 3.7349659449889284e+08 3.7272464411079425e+08 3.7181085201961291e+08 3.7072953978792310e+08 3.6945054353475767e+08 3.6793865363542259e+08 3.6615308203519905e+08 3.6404714766494352e+08 3.6156819509862781e+08 3.5842242834437340e+08 3.5470159662044710e+08 3.5032652687624347e+08 3.4522195563163602e+08 3.3932487407675034e+08 3.3259519584423053e+08 3.2502773141875213e+08 3.1666337672361451e+08 3.0759686643038875e+08 2.9797577805591881e+08 2.8799122883325052e+08 2.7786859254608226e+08 2.6784610700962535e+08 2.5813060870157409e+08 2.4889228583935034e+08 2.4025892275283974e+08 2.3230453837461045e+08 2.2506092494329789e+08 2.1852238470436066e+08 2.1266719900588304e+08 2.0745074280845493e+08 2.0283161055379027e+08 1.9875584151419178e+08 1.9518465922374037e+08 1.9206958052032989e+08 1.8936779696932566e+08 1.8704633357920855e+08 1.8506559781056517e+08 1.8338670196771699e+08 1.8198228078830507e+08 1.8081497668761793e+08 1.7986044871653321e+08 1.7908861864991176e+08 1.7847513082320526e+08 1.7798513781020087e+08 1.7758382586799157e+08 1.7724732505342790e+08 1.7695175370921761e+08 1.7667177304459015e+08 1.7647329649907506e+08 1.7627277752217802e+08 1.7606812916526330e+08 1.7585376208759010e+08 1.7563261498055845e+08 1.7539815281386289e+08 1.7515917265944365e+08 1.7489303060204113e+08 1.7460820454574463e+08 1.7429945399525136e+08 1.7396268679969639e+08 1.7359293027103537e+08 1.7318458258645475e+08 1.7272941461329550e+08 1.7222931107458428e+08 1.7166401304261017e+08 1.7103021962891182e+08 1.7031873503849199e+08 1.6951966307077220e+08 1.6862279823793629e+08 1.6761790394087002e+08 1.6649348481510690e+08 1.6525200058719614e+08 1.6387041327046752e+08 1.6235402952905113e+08 1.6070635693884212e+08 1.5894031893188649e+08 1.5707790386932385e+08 1.5516096421079347e+08 1.5325161906214592e+08 1.5145273331172594e+08 1.4989134406252989e+08 1.4876883686771110e+08 1.4836486002264345e+08 1.4908638117134553e+08 1.5152508087067083e+08 1.5657761331426388e+08 1.6566329356615728e+08 1.8117530056818473e+08 4.8196982803719312e+07 +7.9449816605534087e+00 3.7712974373876947e+08 3.7709321042347419e+08 3.7703166493724710e+08 3.7695143049287361e+08 3.7687207205596948e+08 3.7682384666618949e+08 3.7682012694752675e+08 3.7683808741094410e+08 3.7685449590577644e+08 3.7686439967574614e+08 3.7687015933997846e+08 3.7687167953755909e+08 3.7686782462735581e+08 3.7685772237315506e+08 3.7684063342160261e+08 3.7681551657852399e+08 3.7678116043908954e+08 3.7673625973555797e+08 3.7667930482105321e+08 3.7660845496768928e+08 3.7652151732963139e+08 3.7641574578820741e+08 3.7628674922555792e+08 3.7612684254816622e+08 3.7593079626528275e+08 3.7569657403614205e+08 3.7541808299756837e+08 3.7508708964368105e+08 3.7469413910933107e+08 3.7422808712199515e+08 3.7367574711106640e+08 3.7302150158634466e+08 3.7224686549934703e+08 3.7132999818580258e+08 3.7024518330207908e+08 3.6896222243658078e+08 3.6744587820673084e+08 3.6565534618294752e+08 3.6354394616172034e+08 3.6105904816528392e+08 3.5790642600076663e+08 3.5417838021173060e+08 3.4979593344581389e+08 3.4468409529289114e+08 3.3878020849225557e+08 3.3204460523623925e+08 3.2447255325462228e+08 3.1610539792088556e+08 3.0703825443051523e+08 2.9741895137350714e+08 2.8743868024028921e+08 2.7732266943488210e+08 2.6730880456540337e+08 2.5760346477504057e+08 2.4837631264728716e+08 2.3975460187032813e+08 2.3181189513853204e+08 2.2457962182188603e+08 2.1805183459107065e+08 2.1220664240662006e+08 2.0699934699428442e+08 2.0238850112791499e+08 1.9832016671911561e+08 1.9475557864692628e+08 1.9164630884029377e+08 1.8894960470284301e+08 1.8663253317810673e+08 1.8465556870625934e+08 1.8297989222917363e+08 1.8157818378498614e+08 1.8041315830842423e+08 1.7946051483388293e+08 1.7869023104607385e+08 1.7807799264913288e+08 1.7758901695297736e+08 1.7718855728592846e+08 1.7685278437161291e+08 1.7655786070721343e+08 1.7627849937638578e+08 1.7608046375494689e+08 1.7588039084712425e+08 1.7567619800685391e+08 1.7546230817614004e+08 1.7524165343971562e+08 1.7500771372813094e+08 1.7476926435612532e+08 1.7450371484046671e+08 1.7421952291595224e+08 1.7391145975258404e+08 1.7357544230861580e+08 1.7320650896526226e+08 1.7279907036900973e+08 1.7234491613540432e+08 1.7184592465858668e+08 1.7128188508819807e+08 1.7064950260666797e+08 1.6993960188862863e+08 1.6914230876281804e+08 1.6824744045874700e+08 1.6724478316445434e+08 1.6612286751856104e+08 1.6488414572000220e+08 1.6350563393472308e+08 1.6199262578346062e+08 1.6034862103435960e+08 1.5858651435177827e+08 1.5672824515026116e+08 1.5481557272537497e+08 1.5291047828539544e+08 1.5111559585432735e+08 1.4955768238376960e+08 1.4843767400566158e+08 1.4803459688222289e+08 1.4875451200393254e+08 1.5118778301077995e+08 1.5622906831720635e+08 1.6529452412869740e+08 1.8077199951825058e+08 4.8048116829142854e+07 +7.9499499833276666e+00 3.7666969704204458e+08 3.7663320285304338e+08 3.7657172772168511e+08 3.7649158047995049e+08 3.7641230004176486e+08 3.7636410463353044e+08 3.7636035072843146e+08 3.7637824141392404e+08 3.7639457179827631e+08 3.7640439252142167e+08 3.7641005870632797e+08 3.7641147248026913e+08 3.7640749639876735e+08 3.7639725558663774e+08 3.7638000729305345e+08 3.7635470662423819e+08 3.7632013758505809e+08 3.7627498927142477e+08 3.7621774536131436e+08 3.7614655741602772e+08 3.7605922361247492e+08 3.7595298746988159e+08 3.7582344525825548e+08 3.7566289063650596e+08 3.7546606173731291e+08 3.7523090336222506e+08 3.7495131204013395e+08 3.7461903403295970e+08 3.7422458753844428e+08 3.7375679778763747e+08 3.7320244479809517e+08 3.7254587515234381e+08 3.7176856604030067e+08 3.7084863829283059e+08 3.6976033797593886e+08 3.6847343249753916e+08 3.6695265709824908e+08 3.6515719137887096e+08 3.6304035642088842e+08 3.6054954810636526e+08 3.5739011359345084e+08 3.5365490268684280e+08 3.4926513392528188e+08 3.4414608988702512e+08 3.3823546439987779e+08 3.3149400727607620e+08 3.2391744201403141e+08 3.1554756143946445e+08 3.0647985887542433e+08 2.9686241142586964e+08 2.8688648242838311e+08 2.7677715301883370e+08 2.6677195549453041e+08 2.5707681135305107e+08 2.4786085802860641e+08 2.3925081964928833e+08 2.3131980405395618e+08 2.2409887919770014e+08 2.1758184950183222e+08 2.1174665268534762e+08 2.0654851810141957e+08 2.0194595753754506e+08 1.9788505598786584e+08 1.9432706003820378e+08 1.9122359690652370e+08 1.8853196996659943e+08 1.8621928820728901e+08 1.8424609307194734e+08 1.8257363414241001e+08 1.8117463677954748e+08 1.8001188839621517e+08 1.7906112802822062e+08 1.7829238925121924e+08 1.7768139914594439e+08 1.7719343973453778e+08 1.7679383137610668e+08 1.7645878546766201e+08 1.7616450864453396e+08 1.7588576581620425e+08 1.7568817051763111e+08 1.7548854306766227e+08 1.7528480511873507e+08 1.7507139187918881e+08 1.7485122883693680e+08 1.7461781086024454e+08 1.7437989154723570e+08 1.7411493375910574e+08 1.7383137509512064e+08 1.7352399837431487e+08 1.7318872965164340e+08 1.7282061836246580e+08 1.7241408760555178e+08 1.7196094571679318e+08 1.7146306478008759e+08 1.7090028194252467e+08 1.7026930845491982e+08 1.6956098943361798e+08 1.6876547270614821e+08 1.6787259818850702e+08 1.6687217482433972e+08 1.6575275921761358e+08 1.6451679605991751e+08 1.6314135558187392e+08 1.6163171838422814e+08 1.5999137643852869e+08 1.5823319568064764e+08 1.5637906664603636e+08 1.5447065559377784e+08 1.5256980602235115e+08 1.5077892141738737e+08 1.4922447895145783e+08 1.4810696595791808e+08 1.4770478731813094e+08 1.4842309861809224e+08 1.5085094838857004e+08 1.5588100200496072e+08 1.6492626114954799e+08 1.8036925235924119e+08 4.7899654882411152e+07 +7.9549183061019244e+00 3.7620904939592618e+08 3.7617259721938163e+08 3.7611119225539565e+08 3.7603113302125227e+08 3.7595193066957426e+08 3.7590376546834058e+08 3.7589997753149766e+08 3.7591779854970884e+08 3.7593405096999383e+08 3.7594378884184074e+08 3.7594936179623997e+08 3.7595066945756114e+08 3.7594657258886260e+08 3.7593619368839031e+08 3.7591878662234443e+08 3.7589330281387156e+08 3.7585852169748437e+08 3.7581312675784457e+08 3.7575559502547300e+08 3.7568407038435918e+08 3.7559634207361639e+08 3.7548964329773998e+08 3.7535955777619225e+08 3.7519835802789927e+08 3.7500074993717885e+08 3.7476465952094597e+08 3.7448397276873147e+08 3.7415041582347083e+08 3.7375448008813030e+08 3.7328496046413505e+08 3.7272860374695957e+08 3.7206972081264853e+08 3.7128975133743972e+08 3.7036677793005913e+08 3.6927500938149655e+08 3.6798417926735365e+08 3.6645899583188307e+08 3.6465862311082888e+08 3.6253638388692915e+08 3.6003970031468230e+08 3.5687349644446480e+08 3.5313116927893186e+08 3.4873413343686944e+08 3.4360794440076321e+08 3.3769064662103224e+08 3.3094340658871567e+08 3.2336240209227794e+08 3.1498987141338384e+08 3.0592168361130267e+08 2.9630616175331539e+08 2.8633463862088722e+08 2.7623204620787036e+08 2.6623556240708715e+08 2.5655065076789251e+08 2.4734592406656912e+08 2.3874757795534047e+08 2.3082826679998791e+08 2.2361869859208518e+08 2.1711243082564238e+08 2.1128723112112170e+08 2.0609825731698918e+08 2.0150398089308134e+08 1.9745051036641350e+08 1.9389910438956654e+08 1.9080144566570905e+08 1.8811489366971186e+08 1.8580659954413310e+08 1.8383717175871754e+08 1.8216792853731737e+08 1.8077164058487886e+08 1.7961116774949846e+08 1.7866228908779627e+08 1.7789509404531217e+08 1.7728535108820435e+08 1.7679840692506328e+08 1.7639964890620062e+08 1.7606532910690436e+08 1.7577169828479019e+08 1.7549357312654656e+08 1.7529641754890189e+08 1.7509723494487700e+08 1.7489395126095521e+08 1.7468101395589402e+08 1.7446134192998636e+08 1.7422844496709365e+08 1.7399105498897511e+08 1.7372668811289015e+08 1.7344376183666092e+08 1.7313707061266041e+08 1.7280254957972696e+08 1.7243525921198666e+08 1.7202963504376385e+08 1.7157750410299829e+08 1.7108073218269622e+08 1.7051920434668231e+08 1.6988963791192842e+08 1.6918289840849262e+08 1.6838915563256985e+08 1.6749827215500116e+08 1.6650007964388698e+08 1.6538316063100493e+08 1.6414995232030100e+08 1.6277757891912645e+08 1.6127130803226033e+08 1.5963462384500456e+08 1.5788036360467988e+08 1.5603036903439558e+08 1.5412621348551649e+08 1.5222960293438429e+08 1.5044271065480149e+08 1.4889173441273671e+08 1.4777671336641648e+08 1.4737543197081977e+08 1.4809214165732250e+08 1.5051457765824157e+08 1.5553341505317643e+08 1.6455850534371722e+08 1.7996705987325999e+08 4.7751596128262497e+07 +7.9598866288761823e+00 3.7574780941695219e+08 3.7571140120291126e+08 3.7565006597374195e+08 3.7557009383979189e+08 3.7549096959742814e+08 3.7544283482228833e+08 3.7543901300736225e+08 3.7545676447018641e+08 3.7547293907166427e+08 3.7548259428784364e+08 3.7548807426123613e+08 3.7548927612082332e+08 3.7548505884912872e+08 3.7547454232962126e+08 3.7545697706084830e+08 3.7543131079801941e+08 3.7539631842686933e+08 3.7535067784502363e+08 3.7529285946281743e+08 3.7522099952136779e+08 3.7513287836132932e+08 3.7502571891817105e+08 3.7489509242432559e+08 3.7473325036521578e+08 3.7453486650595951e+08 3.7429784814957231e+08 3.7401607081718636e+08 3.7368124064482218e+08 3.7328382238259506e+08 3.7281258076874864e+08 3.7225422956748849e+08 3.7159304416690320e+08 3.7081042697907269e+08 3.6988442267074907e+08 3.6878920307328403e+08 3.6749446827846599e+08 3.6596489991272920e+08 3.6415964684927535e+08 3.6203203398794049e+08 3.5952951016500998e+08 3.5635657985753047e+08 3.5260718520221204e+08 3.4820293708471781e+08 3.4306966380159491e+08 3.3714575995835233e+08 3.3039280777946776e+08 3.2280743786478138e+08 3.1443233195705450e+08 3.0536373246507370e+08 2.9575020587576258e+08 2.8578315202291143e+08 2.7568735189409047e+08 2.6569962789604482e+08 2.5602498533648354e+08 2.4683151282955009e+08 2.3824487863991696e+08 2.3033728504185843e+08 2.2313908151364145e+08 2.1664357993968195e+08 2.1082837898096621e+08 2.0564856581690177e+08 2.0106257229365888e+08 1.9701653089047271e+08 1.9347171268286201e+08 1.9037985605496380e+08 1.8769837671130723e+08 1.8539446805651742e+08 1.8342880560834414e+08 1.8176277623441079e+08 1.8036919600388873e+08 1.7921099715795058e+08 1.7826399879144868e+08 1.7749834619972938e+08 1.7688984924117070e+08 1.7640391928587183e+08 1.7600601063452321e+08 1.7567241604592064e+08 1.7537943038323626e+08 1.7510192206122810e+08 1.7490520560169607e+08 1.7470646723061022e+08 1.7450363718441218e+08 1.7429117515639654e+08 1.7407199346825236e+08 1.7383961679716381e+08 1.7360275542838046e+08 1.7333897864790195e+08 1.7305668388554478e+08 1.7275067721106336e+08 1.7241690283484563e+08 1.7205043225444093e+08 1.7164571342223266e+08 1.7119459203092951e+08 1.7069892760087338e+08 1.7013865303285977e+08 1.6951049170741662e+08 1.6880532953999698e+08 1.6801335826523960e+08 1.6712446307762492e+08 1.6612849833821914e+08 1.6501407246875802e+08 1.6378361520592681e+08 1.6241430464550319e+08 1.6091139541996613e+08 1.5927836393928397e+08 1.5752801880154896e+08 1.5568215298565844e+08 1.5378224706270394e+08 1.5188986967537770e+08 1.5010696421247771e+08 1.4855944940681779e+08 1.4744691686597529e+08 1.4704653147313461e+08 1.4776164175760221e+08 1.5017867146605533e+08 1.5518630812995994e+08 1.6419125741825002e+08 1.7956542283271971e+08 4.7603939731859788e+07 +7.9648549516504401e+00 3.7528598590380311e+08 3.7524962037851477e+08 3.7518835354136574e+08 3.7510846849843490e+08 3.7502942249801505e+08 3.7498131833379942e+08 3.7497746279114187e+08 3.7499514481130666e+08 3.7501124173937291e+08 3.7502081449596745e+08 3.7502620173756766e+08 3.7502729810598093e+08 3.7502296081532747e+08 3.7501230714632356e+08 3.7499458424466509e+08 3.7496873621246272e+08 3.7493353340893084e+08 3.7488764816755289e+08 3.7482954430770040e+08 3.7475735046051270e+08 3.7466883810732764e+08 3.7456121996188384e+08 3.7443005483157992e+08 3.7426757327590197e+08 3.7406841706821573e+08 3.7383047487020165e+08 3.7354761180354655e+08 3.7321151411051261e+08 3.7281262002984703e+08 3.7233966430290562e+08 3.7177932785286891e+08 3.7111585079879409e+08 3.7033059853649008e+08 3.6940157807167572e+08 3.6830292459016907e+08 3.6700430504696804e+08 3.6547037482847995e+08 3.6366026804753208e+08 3.6152731213465703e+08 3.5901898301451308e+08 3.5583936911810446e+08 3.5208295565333951e+08 3.4767154995388705e+08 3.4253125303811204e+08 3.3660080919447255e+08 3.2984221543322146e+08 3.2225255368700707e+08 3.1387494716523784e+08 3.0480600924430573e+08 2.9519454729434597e+08 2.8523202582083315e+08 2.7514307295211595e+08 2.6516415453733245e+08 2.5549981735839963e+08 2.4631762637037835e+08 2.3774272353972736e+08 2.2984686043151468e+08 2.2266002945750737e+08 2.1617529820836198e+08 2.1037009752055743e+08 2.0519944476529962e+08 2.0062173282777157e+08 1.9658311858436972e+08 1.9304488588955244e+08 1.8995882900088874e+08 1.8728241998062810e+08 1.8498289460262677e+08 1.8302099545302060e+08 1.8135817804467338e+08 1.7996730383053371e+08 1.7881137740208113e+08 1.7786625790911183e+08 1.7710214647633877e+08 1.7649489436126050e+08 1.7600997756935698e+08 1.7561291731073552e+08 1.7528004703219521e+08 1.7498770568580684e+08 1.7471081336493984e+08 1.7451453541959816e+08 1.7431624066784719e+08 1.7411386363134950e+08 1.7390187622175753e+08 1.7368318419207013e+08 1.7345132708969650e+08 1.7321499360408312e+08 1.7295180610134000e+08 1.7267014197778133e+08 1.7236481890440008e+08 1.7203179015028554e+08 1.7166613822148019e+08 1.7126232347118685e+08 1.7081221022870183e+08 1.7031765176091614e+08 1.6975862872471330e+08 1.6913187056219131e+08 1.6842828354601473e+08 1.6763808131860721e+08 1.6675117166707733e+08 1.6575743161378241e+08 1.6464549543277913e+08 1.6341778541360891e+08 1.6205153345190179e+08 1.6055198123181969e+08 1.5892259739884871e+08 1.5717616194139853e+08 1.5533441916168612e+08 1.5343875697919509e+08 1.5155060689123324e+08 1.4977168272885349e+08 1.4822762456564316e+08 1.4711757708363950e+08 1.4671808645048025e+08 1.4743159954747289e+08 1.4984323045058337e+08 1.5483968189540857e+08 1.6382451807111913e+08 1.7916434200182918e+08 4.7456684858798347e+07 +7.9698232744246980e+00 3.7482357996054804e+08 3.7478725602682638e+08 3.7472605904713356e+08 3.7464626250356907e+08 3.7456729504571903e+08 3.7451922162812918e+08 3.7451533250302970e+08 3.7453294519360423e+08 3.7454896459349906e+08 3.7455845508646792e+08 3.7456374984607655e+08 3.7456474103432357e+08 3.7456028410876632e+08 3.7454949375996572e+08 3.7453161379457688e+08 3.7450558467794877e+08 3.7447017226393831e+08 3.7442404334529322e+08 3.7436565517899567e+08 3.7429312882018501e+08 3.7420422692908865e+08 3.7409615204482430e+08 3.7396445061263472e+08 3.7380133237201357e+08 3.7360140723346180e+08 3.7336254528912783e+08 3.7307860133046579e+08 3.7274124181831753e+08 3.7234087862278491e+08 3.7186621665235037e+08 3.7130390418146998e+08 3.7063814627608031e+08 3.6985027156497562e+08 3.6891824967304826e+08 3.6781617945380718e+08 3.6651369507212782e+08 3.6497542605051106e+08 3.6316049214152408e+08 3.6102222371941870e+08 3.5850812420241219e+08 3.5532186949373662e+08 3.5155848580994469e+08 3.4713997711053836e+08 3.4199271703955477e+08 3.3605579909290439e+08 3.2929163411652172e+08 3.2169775389487034e+08 3.1331772111327171e+08 3.0424851773670691e+08 2.9463918949143606e+08 2.8468126318250227e+08 2.7459921223817295e+08 2.6462914488982201e+08 2.5497514911755988e+08 2.4580426672642714e+08 2.3724111447713214e+08 2.2935699460706234e+08 2.2218154390638390e+08 2.1570758698411879e+08 2.0991238798349243e+08 2.0475089531546155e+08 2.0018146357298407e+08 1.9615027446270570e+08 1.9261862497106588e+08 1.8953836542025593e+08 1.8686702435721976e+08 1.8457188003073916e+08 1.8261374211578187e+08 1.8095413476993251e+08 1.7956596484972796e+08 1.7841230925314361e+08 1.7746906720169520e+08 1.7670649562839246e+08 1.7610048719590363e+08 1.7561658251894546e+08 1.7522036967538166e+08 1.7488822280460867e+08 1.7459652492963135e+08 1.7432024777374840e+08 1.7412440773793778e+08 1.7392655599083960e+08 1.7372463133524403e+08 1.7351311788486698e+08 1.7329491483304709e+08 1.7306357657526863e+08 1.7282777024528927e+08 1.7256517120157358e+08 1.7228413684068877e+08 1.7197949641861311e+08 1.7164721225089887e+08 1.7128237783615550e+08 1.7087946591190648e+08 1.7043035941568685e+08 1.6993690538000652e+08 1.6937913213716304e+08 1.6875377518864828e+08 1.6805176113594401e+08 1.6726332549886423e+08 1.6637839862578046e+08 1.6538688016889662e+08 1.6427743021667466e+08 1.6305246363149875e+08 1.6168926602061230e+08 1.6019306614383274e+08 1.5856732489293137e+08 1.5682479368648171e+08 1.5498716821692005e+08 1.5309574388145503e+08 1.5121181522034332e+08 1.4943686683473253e+08 1.4789626051351207e+08 1.4678869463899541e+08 1.4639009752095702e+08 1.4710201564775982e+08 1.4950825524326319e+08 1.5449353700158861e+08 1.6345828799240616e+08 1.7876381813496533e+08 4.7309830675113514e+07 +7.9747915971989558e+00 3.7436059840710789e+08 3.7432431441177672e+08 3.7426318952282441e+08 3.7418348145845234e+08 3.7410459289421946e+08 3.7405655031530821e+08 3.7405262774636900e+08 3.7407017122221291e+08 3.7408611323861408e+08 3.7409552166470170e+08 3.7410072419265443e+08 3.7410161051134950e+08 3.7409703433562511e+08 3.7408610777582967e+08 3.7406807131587654e+08 3.7404186179969001e+08 3.7400624059626889e+08 3.7395986898292238e+08 3.7390119768077695e+08 3.7382834020247906e+08 3.7373905042780846e+08 3.7363052076741272e+08 3.7349828536580670e+08 3.7333453325000817e+08 3.7313384259541428e+08 3.7289406499653101e+08 3.7260904498506469e+08 3.7227042935094875e+08 3.7186860373770159e+08 3.7139224338746983e+08 3.7082796411416310e+08 3.7015993615010661e+08 3.6936945160386842e+08 3.6843444299915802e+08 3.6732897316999847e+08 3.6602264383620971e+08 3.6448005903267777e+08 3.6266032455045223e+08 3.6051677411801153e+08 3.5799693905012798e+08 3.5480408623377854e+08 3.5103378083136410e+08 3.4660822360221499e+08 3.4145406071635586e+08 3.3551073439748895e+08 3.2874106837545377e+08 3.2114304280497348e+08 3.1276065785620201e+08 3.0369126171086252e+08 2.9408413592988592e+08 2.8413086725783634e+08 2.7405577259181529e+08 2.6409460149568486e+08 2.5445098288210773e+08 2.4529143592024201e+08 2.3674005326012671e+08 2.2886768919284558e+08 2.2170362632988468e+08 2.1524044760685691e+08 2.0945525160161728e+08 2.0430291860921195e+08 1.9974176559578612e+08 1.9571799952900708e+08 1.9219293087819511e+08 1.8911846622005546e+08 1.8645219071113828e+08 1.8416142517995894e+08 1.8220704640984535e+08 1.8055064720258918e+08 1.7916517983693546e+08 1.7801379347316056e+08 1.7707242742114648e+08 1.7631139439976686e+08 1.7570662848348317e+08 1.7522373486918145e+08 1.7482836846041885e+08 1.7449694409276465e+08 1.7420588884321246e+08 1.7393022601437724e+08 1.7373482328291419e+08 1.7353741392501429e+08 1.7333594102054834e+08 1.7312490086908773e+08 1.7290718611397764e+08 1.7267636597570172e+08 1.7244108607312232e+08 1.7217907466839558e+08 1.7189866919286713e+08 1.7159471047096643e+08 1.7126316985214341e+08 1.7089915181294936e+08 1.7049714145702127e+08 1.7004904030281594e+08 1.6955668916675419e+08 1.6900016397677130e+08 1.6837620629061598e+08 1.6767576301070651e+08 1.6688909150375950e+08 1.6600614464759085e+08 1.6501684469332084e+08 1.6390987750563744e+08 1.6268765053957072e+08 1.6132750302630782e+08 1.5983465082459456e+08 1.5821254708305293e+08 1.5647391469043887e+08 1.5464040079771873e+08 1.5275320840798181e+08 1.5087349529342011e+08 1.4910251715343019e+08 1.4756535786723906e+08 1.4646027014434326e+08 1.4606256529502138e+08 1.4677289067232773e+08 1.4917374646749806e+08 1.5414787409285736e+08 1.6309256786409873e+08 1.7836385197776622e+08 4.7163376347288541e+07 +7.9797599199732137e+00 3.7389704625079203e+08 3.7386080741371316e+08 3.7379975063324165e+08 3.7372013101384807e+08 3.7364132165977103e+08 3.7359330999069452e+08 3.7358935410898304e+08 3.7360682848743713e+08 3.7362269326499242e+08 3.7363201982128060e+08 3.7363713036695009e+08 3.7363791212674272e+08 3.7363321708540714e+08 3.7362215478399122e+08 3.7360396239894384e+08 3.7357757316726208e+08 3.7354174399578780e+08 3.7349513066882724e+08 3.7343617740054935e+08 3.7336299019511646e+08 3.7327331419025069e+08 3.7316433171410042e+08 3.7303156467397356e+08 3.7286718149072671e+08 3.7266572873256207e+08 3.7242503956807470e+08 3.7213894833808893e+08 3.7179908227463764e+08 3.7139580093592185e+08 3.7091775006154948e+08 3.7035151319698119e+08 3.6968122595633638e+08 3.6888814417635822e+08 3.6795016355770677e+08 3.6684131122727334e+08 3.6553115680506682e+08 3.6398427921190888e+08 3.6215977067584509e+08 3.6001096868818498e+08 3.5748543286128491e+08 3.5428602456962717e+08 3.5050884585829169e+08 3.4607629445763189e+08 3.4091528895943785e+08 3.3496561983300883e+08 3.2819052273660034e+08 3.2058842471335751e+08 3.1220376143015534e+08 3.0313424491606027e+08 2.9352939005429614e+08 2.8358084117774647e+08 2.7351275683335447e+08 2.6356052687991509e+08 2.5392732090411305e+08 2.4477913595903948e+08 2.3623954168250477e+08 2.2837894579985395e+08 2.2122627818491641e+08 2.1477388140447849e+08 2.0899868959531251e+08 2.0385551577716511e+08 1.9930263995215610e+08 1.9528629477666205e+08 1.9176780455184898e+08 1.8869913229719269e+08 1.8603791990221229e+08 1.8375153087978312e+08 1.8180090913932836e+08 1.8014771612594679e+08 1.7876494955852386e+08 1.7761583081534612e+08 1.7667633931017688e+08 1.7591684352577853e+08 1.7531331895384443e+08 1.7483143534570885e+08 1.7443691438860011e+08 1.7410621161792094e+08 1.7381579814590308e+08 1.7354074880548555e+08 1.7334578277205953e+08 1.7314881518705705e+08 1.7294779340329236e+08 1.7273722588948339e+08 1.7251999874875802e+08 1.7228969600422600e+08 1.7205494179940280e+08 1.7179351721291146e+08 1.7151373974403271e+08 1.7121046177009749e+08 1.7087966366168910e+08 1.7051646085752371e+08 1.7011535081070009e+08 1.6966825359236592e+08 1.6917700382168162e+08 1.6862172494123918e+08 1.6799916456343985e+08 1.6730028986260390e+08 1.6651538002225402e+08 1.6563441041810799e+08 1.6464732586837986e+08 1.6354283797642076e+08 1.6232334680989686e+08 1.6096624513495559e+08 1.5947673593369317e+08 1.5785826462246585e+08 1.5612352559985712e+08 1.5429411754272035e+08 1.5241115118953347e+08 1.5053564773345265e+08 1.4876863430066168e+08 1.4723491723618883e+08 1.4613230420445842e+08 1.4573549037579739e+08 1.4644422522688219e+08 1.4883970473925796e+08 1.5380269380577132e+08 1.6272735835947973e+08 1.7796444426663327e+08 4.7017321042261966e+07 +7.9847282427474715e+00 3.7343293233140981e+08 3.7339673267595971e+08 3.7333574793919080e+08 3.7325621684876978e+08 3.7317748691377670e+08 3.7312950623427945e+08 3.7312551716399300e+08 3.7314292256214744e+08 3.7315871024654585e+08 3.7316795513043129e+08 3.7317297394491845e+08 3.7317365145594656e+08 3.7316883793343747e+08 3.7315764035964650e+08 3.7313929261858815e+08 3.7311272435536152e+08 3.7307668803611004e+08 3.7302983397618049e+08 3.7297059991134495e+08 3.7289708436980921e+08 3.7280702378638047e+08 3.7269759045466167e+08 3.7256429410505879e+08 3.7239928265952963e+08 3.7219707120751679e+08 3.7195547456299609e+08 3.7166831694552404e+08 3.7132720614030701e+08 3.7092247576214045e+08 3.7044274221349913e+08 3.6987455695900804e+08 3.6920202121441454e+08 3.6840635478877646e+08 3.6746541683998615e+08 3.6635319909810054e+08 3.6503923942778039e+08 3.6348809200880879e+08 3.6165883590246177e+08 3.5950481277055258e+08 3.5697361092246008e+08 3.5376768971451914e+08 3.4998368601279467e+08 3.4554419468675947e+08 3.4037640664098275e+08 3.3442046010456103e+08 3.2764000170735687e+08 3.2003390389773577e+08 3.1164703585141551e+08 3.0257747108236092e+08 2.9297495529006284e+08 2.8303118805481619e+08 2.7297016776690441e+08 2.6302692355113688e+08 2.5340416541949919e+08 2.4426736883519328e+08 2.3573958152368462e+08 2.2789076602562329e+08 2.2074950091527575e+08 2.1430788969246045e+08 2.0854270317290577e+08 2.0340868793877566e+08 1.9886408768717337e+08 1.9485516118860537e+08 1.9134324692300189e+08 1.8828036453852513e+08 1.8562421278115413e+08 1.8334219795006135e+08 1.8139533109897271e+08 1.7974534231409252e+08 1.7836527477193230e+08 1.7721842202398682e+08 1.7628080360283223e+08 1.7552284373255140e+08 1.7492055932739621e+08 1.7443968466523284e+08 1.7404600817418098e+08 1.7371602609203959e+08 1.7342625354864421e+08 1.7315181685644931e+08 1.7295728691397271e+08 1.7276076048478448e+08 1.7256018919015560e+08 1.7235009365224028e+08 1.7213335344281325e+08 1.7190356736517531e+08 1.7166933812773475e+08 1.7140849953727612e+08 1.7112934919550547e+08 1.7082675101593754e+08 1.7049669437789926e+08 1.7013430566705576e+08 1.6973409466842082e+08 1.6928799997792825e+08 1.6879785003623325e+08 1.6824381572014418e+08 1.6762265069391102e+08 1.6692534237581915e+08 1.6614219173513347e+08 1.6526319661455336e+08 1.6427832436744010e+08 1.6317631229767951e+08 1.6195955310579392e+08 1.6060549300483099e+08 1.5911932212338749e+08 1.5750447815654078e+08 1.5577362705268881e+08 1.5394831908271143e+08 1.5206957284919569e+08 1.5019827315600991e+08 1.4843521888463134e+08 1.4690493922244787e+08 1.4580479741675878e+08 1.4540887335935602e+08 1.4611601991048792e+08 1.4850613066719130e+08 1.5345799676924932e+08 1.6236266014395362e+08 1.7756559572924340e+08 4.6871663927435167e+07 +7.9896965655217294e+00 3.7296825693777037e+08 3.7293210150314724e+08 3.7287118791708696e+08 3.7279174463819116e+08 3.7271309418660164e+08 3.7266514461191350e+08 3.7266112246792042e+08 3.7267845900594383e+08 3.7269416974254477e+08 3.7270333315191239e+08 3.7270826048574787e+08 3.7270883405845827e+08 3.7270390243901026e+08 3.7269257006221390e+08 3.7267406753370798e+08 3.7264732092286897e+08 3.7261107827611530e+08 3.7256398446348470e+08 3.7250447077046138e+08 3.7243062828275383e+08 3.7234018477178431e+08 3.7223030254263520e+08 3.7209647921096975e+08 3.7193084230630189e+08 3.7172787556753713e+08 3.7148537552547902e+08 3.7119715634708935e+08 3.7085480648316669e+08 3.7044863374594963e+08 3.6996722536505514e+08 3.6939710091486114e+08 3.6872232742745024e+08 3.6792408893204957e+08 3.6698020832075459e+08 3.6586464223847032e+08 3.6454689713623714e+08 3.6299150282620722e+08 3.6115752559745163e+08 3.5899831168769026e+08 3.5646147850116724e+08 3.5324908686321753e+08 3.4945830639966697e+08 3.4501192928068608e+08 3.3983741861374927e+08 3.3387525989835829e+08 3.2708950977537882e+08 3.1947948461499840e+08 3.1109048511706841e+08 3.0202094392036289e+08 2.9242083504358572e+08 2.8248191098391849e+08 2.7242800817856222e+08 2.6249379400103447e+08 2.5288151864833805e+08 2.4375613652563855e+08 2.3524017454874790e+08 2.2740315145419019e+08 2.2027329595218775e+08 2.1384247377429715e+08 2.0808729353176096e+08 2.0296243620228285e+08 1.9842610983510098e+08 1.9442459973720092e+08 1.9091925891207844e+08 1.8786216382131580e+08 1.8521107018865198e+08 1.8293342720129076e+08 1.8099031307414669e+08 1.7934352653180382e+08 1.7796615622537991e+08 1.7682156783398846e+08 1.7588582102394012e+08 1.7512939573770869e+08 1.7452835031632647e+08 1.7404848353597105e+08 1.7365565052246335e+08 1.7332638821882045e+08 1.7303725575325963e+08 1.7276343086811155e+08 1.7256933640858644e+08 1.7237325051748344e+08 1.7217312907985952e+08 1.7196350485482651e+08 1.7174725089270252e+08 1.7151798075421783e+08 1.7128427575281611e+08 1.7102402233547661e+08 1.7074549823972768e+08 1.7044357889992419e+08 1.7011426269099367e+08 1.6975268693014675e+08 1.6935337371724379e+08 1.6890828014473078e+08 1.6841922849359578e+08 1.6786643699437758e+08 1.6724666536047027e+08 1.6655092122573972e+08 1.6576952731491044e+08 1.6489250390564010e+08 1.6390984085528097e+08 1.6281030112989247e+08 1.6159627008302620e+08 1.6024524728576267e+08 1.5876241003748703e+08 1.5715118832276088e+08 1.5542421967965698e+08 1.5360300604081121e+08 1.5172847400244936e+08 1.4986137216888556e+08 1.4810227150606799e+08 1.4657542442031464e+08 1.4547775037132132e+08 1.4508271483389154e+08 1.4578827531425923e+08 1.4817302485232806e+08 1.5311378360432610e+08 1.6199847387474623e+08 1.7716730708410701e+08 4.6726404170680076e+07 +7.9946648882959872e+00 3.7250303061009407e+08 3.7246691603025001e+08 3.7240607477541947e+08 3.7232671993125689e+08 3.7224814897897047e+08 3.7220023067331243e+08 3.7219617556295294e+08 3.7221344336134744e+08 3.7222907729645753e+08 3.7223815942927802e+08 3.7224299553350860e+08 3.7224346547834039e+08 3.7223841614690816e+08 3.7222694943573409e+08 3.7220829268849999e+08 3.7218136841347128e+08 3.7214492025875217e+08 3.7209758767343253e+08 3.7203779551984525e+08 3.7196362747516036e+08 3.7187280268640709e+08 3.7176247351606500e+08 3.7162812552837068e+08 3.7146186596597099e+08 3.7125814734419602e+08 3.7101474798340040e+08 3.7072547206717622e+08 3.7038188882282531e+08 3.6997428040056276e+08 3.6949120502276307e+08 3.6891915056164372e+08 3.6824215008225632e+08 3.6744135208019292e+08 3.6649454345894146e+08 3.6537564608736497e+08 3.6405413534622765e+08 3.6249451705064464e+08 3.6065584511109686e+08 3.5849147074573106e+08 3.5594904084832263e+08 3.5273022119356894e+08 3.4893271210386056e+08 3.4447950321195048e+08 3.3929832971183538e+08 3.3333002388092637e+08 3.2653905140893745e+08 3.1892517110336155e+08 3.1053411320434690e+08 3.0146466712124777e+08 2.9186703270250803e+08 2.8193301304152906e+08 2.7188628083653992e+08 2.6196114070417255e+08 2.5235938279471183e+08 2.4324544099263266e+08 2.3474132250887290e+08 2.2691610365620461e+08 2.1979766471434364e+08 2.1337763494133949e+08 2.0763246185697064e+08 2.0251676166508484e+08 1.9798870741957906e+08 1.9399461138456076e+08 1.9049584142963049e+08 1.8744453101306963e+08 1.8479849295616055e+08 1.8252521943485430e+08 1.8058585584114259e+08 1.7894226953481111e+08 1.7756759465800667e+08 1.7642526897169992e+08 1.7549139228973752e+08 1.7473650024957925e+08 1.7413669262353644e+08 1.7365783265699729e+08 1.7326584213008413e+08 1.7293729869286039e+08 1.7264880545323145e+08 1.7237559153252551e+08 1.7218193194742015e+08 1.7198628597561130e+08 1.7178661376196808e+08 1.7157746018629220e+08 1.7136169178671670e+08 1.7113293685853666e+08 1.7089975536084330e+08 1.7064008629228044e+08 1.7036218756083187e+08 1.7006094610478646e+08 1.6973236928225994e+08 1.6937160532676184e+08 1.6897318863535756e+08 1.6852909476945093e+08 1.6804113986836693e+08 1.6748958943628684e+08 1.6687120923312670e+08 1.6617702707974398e+08 1.6539738742561197e+08 1.6452233295206276e+08 1.6354187598845738e+08 1.6244480512532529e+08 1.6123349838865143e+08 1.5988550861978397e+08 1.5840600031222796e+08 1.5679839575071424e+08 1.5507530410322449e+08 1.5325817903222099e+08 1.5138785525718069e+08 1.4952494537251377e+08 1.4776979275817421e+08 1.4624637341709304e+08 1.4515116365099698e+08 1.4475701538085705e+08 1.4546099202246159e+08 1.4784038788820544e+08 1.5277005492436108e+08 1.6163480020056430e+08 1.7676957904101923e+08 4.6581540940346330e+07 +7.9996332110702451e+00 3.7203725502057159e+08 3.7200118543664539e+08 3.7194041379803556e+08 3.7186114809429824e+08 3.7178265677781337e+08 3.7173476995263129e+08 3.7173068197540706e+08 3.7174788115662771e+08 3.7176343843646997e+08 3.7177243949184912e+08 3.7177718461714017e+08 3.7177755124441552e+08 3.7177238458594328e+08 3.7176078400908351e+08 3.7174197361168617e+08 3.7171487235550416e+08 3.7167821951237160e+08 3.7163064913311285e+08 3.7157057968574870e+08 3.7149608747249323e+08 3.7140488305446929e+08 3.7129410889838427e+08 3.7115923857832861e+08 3.7099235915675199e+08 3.7078789205382550e+08 3.7054359744978052e+08 3.7025326961432409e+08 3.6990845866262442e+08 3.6949942122405821e+08 3.6901468667738223e+08 3.6844071138130462e+08 3.6776149465047419e+08 3.6695814969130754e+08 3.6600842769615006e+08 3.6488621606779653e+08 3.6356095945660520e+08 3.6199714005114126e+08 3.6015379977613086e+08 3.5798429523238766e+08 3.5543630319679499e+08 3.5221109786364853e+08 3.4840690819297999e+08 3.4394692143438113e+08 3.3875914475023627e+08 3.3278475669972110e+08 3.2598863105721045e+08 3.1837096758113229e+08 3.0997792407146859e+08 3.0090864435776496e+08 2.9131355163591123e+08 2.8138449728562289e+08 2.7134498849187058e+08 2.6142896611916530e+08 2.5183776004735407e+08 2.4273528418336809e+08 2.3424302714098817e+08 2.2642962418891615e+08 2.1932260860741496e+08 2.1291337447293708e+08 2.0717820932273176e+08 2.0207166541325739e+08 1.9755188145363027e+08 1.9356519708264637e+08 1.9007299537638679e+08 1.8702746697136903e+08 1.8438648190518877e+08 1.8211757544208983e+08 1.8018196016675419e+08 1.7854157206972852e+08 1.7716959080015948e+08 1.7602952615422934e+08 1.7509751810743687e+08 1.7434415796810165e+08 1.7374558694356364e+08 1.7326773271888816e+08 1.7287658368490908e+08 1.7254875820015547e+08 1.7226090333322489e+08 1.7198829953332049e+08 1.7179507421290830e+08 1.7159986754107007e+08 1.7140064391762120e+08 1.7119196032673207e+08 1.7097667680406731e+08 1.7074843635659546e+08 1.7051577762924922e+08 1.7025669208448732e+08 1.6997941783422935e+08 1.6967885330477136e+08 1.6935101482461151e+08 1.6899106152839530e+08 1.6859354009288400e+08 1.6815044452028385e+08 1.6766358482689753e+08 1.6711327370986277e+08 1.6649628297336003e+08 1.6580366059650826e+08 1.6502577272296989e+08 1.6415268440597144e+08 1.6317443041539955e+08 1.6207982492807102e+08 1.6087123866214567e+08 1.5952627764065492e+08 1.5805009357527852e+08 1.5644610106189832e+08 1.5472688093824258e+08 1.5291383866465661e+08 1.5104771721348387e+08 1.4918899335961574e+08 1.4743778322700113e+08 1.4591778679253006e+08 1.4482503783108929e+08 1.4443177557405797e+08 1.4513417061158589e+08 1.4750822036101556e+08 1.5242681133496174e+08 1.6127163976263806e+08 1.7637241230081820e+08 4.6437073405268848e+07 +8.0046015338445038e+00 3.7157093939361280e+08 3.7153491303993946e+08 3.7147421057132858e+08 3.7139503447338277e+08 3.7131662307841116e+08 3.7126876796667004e+08 3.7126464721699870e+08 3.7128177790294486e+08 3.7129725867584711e+08 3.7130617885276842e+08 3.7131083325005919e+08 3.7131109687045425e+08 3.7130581326903427e+08 3.7129407929557192e+08 3.7127511581639451e+08 3.7124783826213187e+08 3.7121098154867882e+08 3.7116317435409135e+08 3.7110282877941674e+08 3.7102801378481209e+08 3.7093643138461757e+08 3.7082521419667441e+08 3.7068982386645365e+08 3.7052232738199598e+08 3.7031711519632852e+08 3.7007192942138129e+08 3.6978055448129928e+08 3.6943452149033344e+08 3.6902406169820499e+08 3.6853767580304068e+08 3.6796178883956516e+08 3.6728036658686942e+08 3.6647448720759439e+08 3.6552186645865536e+08 3.6439635758557129e+08 3.6306737484915102e+08 3.6149937718020654e+08 3.5965139490825248e+08 3.5747679041829503e+08 3.5492327076127535e+08 3.5169172201511651e+08 3.4788089971545649e+08 3.4341418888294488e+08 3.3821986852478403e+08 3.3223946298297542e+08 3.2543825314881319e+08 3.1781687824736106e+08 3.0942192165666592e+08 3.0035287928249764e+08 2.9076039519399381e+08 2.8083636675604421e+08 2.7080413387858081e+08 2.6089727268743601e+08 2.5131665257874215e+08 2.4222566803000346e+08 2.3374529016804028e+08 2.2594371459611258e+08 2.1884812902489999e+08 2.1244969363643491e+08 2.0672453709139457e+08 2.0162714852201948e+08 1.9711563293971109e+08 1.9313635777295491e+08 1.8965072164276731e+08 1.8661097254390764e+08 1.8397503784792846e+08 1.8171049600572973e+08 1.7977862680883881e+08 1.7814143487425300e+08 1.7677214537312654e+08 1.7563434009021530e+08 1.7470419917549756e+08 1.7395236958414400e+08 1.7335503396176651e+08 1.7287818440374449e+08 1.7248787586624166e+08 1.7216076741823664e+08 1.7187355006913739e+08 1.7160155554513216e+08 1.7140876387938467e+08 1.7121399588720450e+08 1.7101522021930248e+08 1.7080700594797820e+08 1.7059220661566073e+08 1.7036447991854534e+08 1.7013234322733131e+08 1.6987384038009584e+08 1.6959718972691229e+08 1.6929730116568983e+08 1.6897019998274782e+08 1.6861105619807938e+08 1.6821442875128672e+08 1.6777233005698860e+08 1.6728656402694246e+08 1.6673749047101834e+08 1.6612188723450556e+08 1.6543082242672640e+08 1.6465468385457098e+08 1.6378355891164681e+08 1.6280750477623361e+08 1.6171536117393908e+08 1.6050949153455168e+08 1.5916755497439647e+08 1.5769469044699833e+08 1.5609430487024051e+08 1.5437895079181615e+08 1.5256998553818354e+08 1.5070806046421212e+08 1.4885351671560758e+08 1.4710624349079832e+08 1.4558966511935151e+08 1.4449937348009700e+08 1.4410699598016793e+08 1.4480781165118375e+08 1.4717652284934783e+08 1.5208405343425825e+08 1.6090899319337213e+08 1.7597580755537766e+08 4.6293000734775141e+07 +8.0095698566187625e+00 3.7110408563842249e+08 3.7106810382904530e+08 3.7100747154361671e+08 3.7092838456398875e+08 3.7085005339206344e+08 3.7080223021427196e+08 3.7079807678429216e+08 3.7081513909788114e+08 3.7083054351169437e+08 3.7083938301004791e+08 3.7084394693049246e+08 3.7084410785406625e+08 3.7083870769457376e+08 3.7082684079369897e+08 3.7080772480035836e+08 3.7078027162988907e+08 3.7074321186517680e+08 3.7069516883289295e+08 3.7063454829642349e+08 3.7055941190663344e+08 3.7046745317036885e+08 3.7035579490265393e+08 3.7021988688256139e+08 3.7005177612950218e+08 3.6984582225677383e+08 3.6959974937970239e+08 3.6930733214535213e+08 3.6896008277836919e+08 3.6854820728870076e+08 3.6806017785846990e+08 3.6748238838587594e+08 3.6679877133006346e+08 3.6599037005411661e+08 3.6503486515586627e+08 3.6390607603040594e+08 3.6257338688918549e+08 3.6100123377305514e+08 3.5914863580655938e+08 3.5696896155693728e+08 3.5440994873946595e+08 3.5117209877048421e+08 3.4735469170240921e+08 3.4288131047400397e+08 3.3768050581245470e+08 3.3169414733970803e+08 3.2488792209449387e+08 3.1726290728172189e+08 3.0886610987964284e+08 2.9979737553006113e+08 2.9020756670833099e+08 2.8028862447494859e+08 2.7026371971281075e+08 2.6036606283399585e+08 2.5079606254591638e+08 2.4171659445017755e+08 2.3324811329877728e+08 2.2545837640877447e+08 2.1837422734725681e+08 2.1198659368710750e+08 2.0627144631394908e+08 2.0118321205560261e+08 1.9667996286945271e+08 1.9270809438678288e+08 1.8922902110957032e+08 1.8619504856923112e+08 1.8356416158720022e+08 1.8130398189861092e+08 1.7937585651593846e+08 1.7774185867680639e+08 1.7637525908922517e+08 1.7523971147894272e+08 1.7431143618366340e+08 1.7356113578015548e+08 1.7296503435529813e+08 1.7248918838444084e+08 1.7209971934474912e+08 1.7177332701579976e+08 1.7148674632839441e+08 1.7121536023422799e+08 1.7102300161212161e+08 1.7082867167854425e+08 1.7063034333103317e+08 1.7042259771300244e+08 1.7020828188368043e+08 1.6998106820553863e+08 1.6974945281529689e+08 1.6949153183844122e+08 1.6921550389705878e+08 1.6891629034470046e+08 1.6858992541250062e+08 1.6823158999063870e+08 1.6783585526362157e+08 1.6739475203081778e+08 1.6691007811798927e+08 1.6636224036692324e+08 1.6574802266151664e+08 1.6505851321257004e+08 1.6428412145950016e+08 1.6341495710471341e+08 1.6244109970333952e+08 1.6135141449084792e+08 1.6014825762908810e+08 1.5880934123893914e+08 1.5733979153959024e+08 1.5574300778188914e+08 1.5403151426328164e+08 1.5222662024490762e+08 1.5036888559424171e+08 1.4851851601849398e+08 1.4677517412085581e+08 1.4526200896253794e+08 1.4417417115876898e+08 1.4378267715863496e+08 1.4448191570352855e+08 1.4684529592489454e+08 1.5174178181270343e+08 1.6054686111768293e+08 1.7557976548797590e+08 4.6149322098692514e+07 +8.0145381793930213e+00 3.7063670342288214e+08 3.7060076184284824e+08 3.7054020185490674e+08 3.7046120399718356e+08 3.7038295324065614e+08 3.7033516217526007e+08 3.7033097615849465e+08 3.7034797022271717e+08 3.7036329842665339e+08 3.7037205744624525e+08 3.7037653114101839e+08 3.7037658967804843e+08 3.7037107334488142e+08 3.7035907398475730e+08 3.7033980604612726e+08 3.7031217794128704e+08 3.7027491594285339e+08 3.7022663805080730e+08 3.7016574371653473e+08 3.7009028731686491e+08 3.6999795388954020e+08 3.6988585649293870e+08 3.6974943310108191e+08 3.6958071087128437e+08 3.6937401870423102e+08 3.6912706279014462e+08 3.6883360806784242e+08 3.6848514798314351e+08 3.6807186344603634e+08 3.6758219828645027e+08 3.6700251545415151e+08 3.6631671430280399e+08 3.6550580364023751e+08 3.6454742918040526e+08 3.6341537677538031e+08 3.6207900092516845e+08 3.6050271514809376e+08 3.5864552775175220e+08 3.5646081388352454e+08 3.5389634231009603e+08 3.5065223323492581e+08 3.4682828916508281e+08 3.4234829110512471e+08 3.3714106137142408e+08 3.3114881435958970e+08 3.2433764228474689e+08 3.1670905884403855e+08 3.0831049263996768e+08 2.9924213671512181e+08 2.8965506949189234e+08 2.7974127344625682e+08 2.6972374869302619e+08 2.5983533896762025e+08 2.5027599209028971e+08 2.4120806534640566e+08 2.3275149822807848e+08 2.2497361114444003e+08 2.1790090494281852e+08 2.1152407586851704e+08 2.0581893813007611e+08 2.0073985706719470e+08 1.9624487222426665e+08 1.9228040784526855e+08 1.8880789464752775e+08 1.8577969587574202e+08 1.8315385391616359e+08 1.8089803388474828e+08 1.7897365002759832e+08 1.7734284419703558e+08 1.7597893265193775e+08 1.7484564101146051e+08 1.7391922981268501e+08 1.7317045722955737e+08 1.7257558879243881e+08 1.7210074532567140e+08 1.7171211478219995e+08 1.7138643765321583e+08 1.7110049276988402e+08 1.7082971425854644e+08 1.7063778806809384e+08 1.7044389557145733e+08 1.7024601390811983e+08 1.7003873627662501e+08 1.6982490326200831e+08 1.6959820187072200e+08 1.6936710704525787e+08 1.6910976711069819e+08 1.6883436099504802e+08 1.6853582149073124e+08 1.6821019176158252e+08 1.6785266355189991e+08 1.6745782027451232e+08 1.6701771108487433e+08 1.6653412774117160e+08 1.6598752403663000e+08 1.6537468989100608e+08 1.6468673358805740e+08 1.6391408616896278e+08 1.6304687961303964e+08 1.6207521582048810e+08 1.6098798549860305e+08 1.5978753756075826e+08 1.5845163704435551e+08 1.5698539745745149e+08 1.5539221039485452e+08 1.5368457194432175e+08 1.5188374336969298e+08 1.5003019318129587e+08 1.4818399183880278e+08 1.4644457568076110e+08 1.4493481888026133e+08 1.4384943142110309e+08 1.4345881966196960e+08 1.4415648332348239e+08 1.4651454015152815e+08 1.5139999705317909e+08 1.6018524415223807e+08 1.7518428677312875e+08 4.6006036667355448e+07 +8.0195065021672800e+00 3.7016879306047505e+08 3.7013289540265739e+08 3.7007240682180619e+08 3.6999349843288958e+08 3.6991532813181019e+08 3.6986756931153977e+08 3.6986335080670387e+08 3.6988027674301356e+08 3.6989552888766706e+08 3.6990420762884164e+08 3.6990859134894419e+08 3.6990854780973202e+08 3.6990291568809074e+08 3.6989078433678055e+08 3.6987136502003455e+08 3.6984356266308182e+08 3.6980609924841911e+08 3.6975758747227186e+08 3.6969642050481743e+08 3.6962064547929180e+08 3.6952793900440192e+08 3.6941540442794484e+08 3.6927846798084784e+08 3.6910913706395262e+08 3.6890170999257851e+08 3.6865387510311705e+08 3.6835938769464308e+08 3.6800972254478461e+08 3.6759503560469979e+08 3.6710374251372784e+08 3.6652217546186602e+08 3.6583420091157252e+08 3.6502079335922819e+08 3.6405956390887296e+08 3.6292426517659092e+08 3.6158422228904688e+08 3.6000382660689920e+08 3.5814207600827909e+08 3.5595235261687702e+08 3.5338245663604611e+08 3.5013213049485326e+08 3.4630169709800488e+08 3.4181513565549505e+08 3.3660153994033045e+08 3.3060346861311167e+08 3.2378741809072495e+08 3.1615533707525921e+08 3.0775507381890744e+08 2.9868716643366700e+08 2.8910290683879119e+08 2.7919431665571684e+08 2.6918422350127923e+08 2.5930510348042098e+08 2.4975644333741722e+08 2.4070008260670370e+08 2.3225544663690186e+08 2.2448942030722708e+08 2.1742816316704047e+08 2.1106214141210300e+08 2.0536701366798785e+08 2.0029708459918010e+08 1.9581036197506630e+08 1.9185329905921939e+08 1.8838734311744988e+08 1.8536491528241464e+08 1.8274411561864793e+08 1.8049265271868193e+08 1.7857200807415426e+08 1.7694439214545730e+08 1.7558316675577375e+08 1.7445212936951399e+08 1.7352758073496839e+08 1.7278033459748128e+08 1.7218669793281093e+08 1.7171285588342032e+08 1.7132506283227417e+08 1.7100009998201850e+08 1.7071479004390764e+08 1.7044461826703477e+08 1.7025312389583695e+08 1.7005966821368623e+08 1.6986223259759712e+08 1.6965542228484139e+08 1.6944207139601377e+08 1.6921588155848908e+08 1.6898530656087369e+08 1.6872854683935627e+08 1.6845376166199258e+08 1.6815589524421215e+08 1.6783099966902277e+08 1.6747427752030331e+08 1.6708032442044905e+08 1.6664120785392502e+08 1.6615871352911639e+08 1.6561334211083210e+08 1.6500188955145204e+08 1.6431548417889711e+08 1.6354457860570905e+08 1.6267932705620235e+08 1.6170985374353358e+08 1.6062507480903387e+08 1.5942733193693104e+08 1.5809444299255943e+08 1.5663150879691008e+08 1.5504191329972515e+08 1.5333812441880849e+08 1.5154135548966497e+08 1.4969198379544461e+08 1.4784994473951069e+08 1.4611444872721991e+08 1.4460809542298728e+08 1.4352515481353754e+08 1.4313542403509462e+08 1.4383151505905178e+08 1.4618425608602452e+08 1.5105869973101053e+08 1.5982414290579411e+08 1.7478937207623726e+08 4.5863143611612655e+07 +8.0244748249415387e+00 3.6970036513988346e+08 3.6966450817535853e+08 3.6960409247866833e+08 3.6952527335395002e+08 3.6944718353467101e+08 3.6939945706744051e+08 3.6939520618035054e+08 3.6941206411015034e+08 3.6942724034564871e+08 3.6943583900849414e+08 3.6944013300610423e+08 3.6943998770108187e+08 3.6943424017507374e+08 3.6942197730154210e+08 3.6940240717416990e+08 3.6937443124629873e+08 3.6933676723190540e+08 3.6928802254811907e+08 3.6922658411002845e+08 3.6915049184198439e+08 3.6905741396179360e+08 3.6894444415331864e+08 3.6880699696538943e+08 3.6863706014813244e+08 3.6842890155916649e+08 3.6818019175247693e+08 3.6788467645577437e+08 3.6753381188828832e+08 3.6711772918251336e+08 3.6662481595105743e+08 3.6604137381072605e+08 3.6535123654682636e+08 3.6453534458798319e+08 3.6357127470138890e+08 3.6243274657429463e+08 3.6108905629550272e+08 3.5950457343380904e+08 3.5763828582291603e+08 3.5544358295736897e+08 3.5286829686082572e+08 3.4961179561955482e+08 3.4577492047594506e+08 3.4128184898555911e+08 3.3606194623983884e+08 3.3005811465190732e+08 3.2323725386437249e+08 3.1560174609646791e+08 3.0719985727711523e+08 2.9813246826251042e+08 2.8855108202512652e+08 2.7864775707116157e+08 2.6864514680200398e+08 2.5877535874778137e+08 2.4923741839761609e+08 2.4019264810432437e+08 2.3175996019249341e+08 2.2400580538836619e+08 2.1695600336323875e+08 2.1060079153758454e+08 2.0491567404480705e+08 1.9985489568310806e+08 1.9537643308179221e+08 1.9142676892971441e+08 1.8796736737045747e+08 1.8495070759844431e+08 1.8233494746917453e+08 1.8008783914582539e+08 1.7817093137697300e+08 1.7654650322370449e+08 1.7518796208668703e+08 1.7405917722635296e+08 1.7313648961404511e+08 1.7239076854006425e+08 1.7179836242763919e+08 1.7132552070510074e+08 1.7093856413982695e+08 1.7061431464538792e+08 1.7032963879219705e+08 1.7006007290046170e+08 1.6986900973512983e+08 1.6967599024427900e+08 1.6947900003784618e+08 1.6927265637543198e+08 1.6905978692264283e+08 1.6883410790491644e+08 1.6860405199725106e+08 1.6834787165883845e+08 1.6807370653148323e+08 1.6777651223697951e+08 1.6745234976570597e+08 1.6709643252474400e+08 1.6670336832947332e+08 1.6626524296426910e+08 1.6578383610672387e+08 1.6523969521206295e+08 1.6462962226296738e+08 1.6394476560291037e+08 1.6317559938455114e+08 1.6231230004556265e+08 1.6134501408035994e+08 1.6026268302574095e+08 1.5906764135675728e+08 1.5773775967793560e+08 1.5627812614692053e+08 1.5469211707924572e+08 1.5299217226330790e+08 1.5119945717453322e+08 1.4935425799940383e+08 1.4751637527640283e+08 1.4578479380926439e+08 1.4428183913449419e+08 1.4320134187570426e+08 1.4281249081612614e+08 1.4350701145058474e+08 1.4585444427787286e+08 1.5071789041400221e+08 1.5946355797902155e+08 1.7439502205449197e+08 4.5720642102834173e+07 +8.0294431477157975e+00 3.6923142110857630e+08 3.6919560672401553e+08 3.6913526349679619e+08 3.6905653398403323e+08 3.6897852487041509e+08 3.6893083087076652e+08 3.6892654771575421e+08 3.6894333775971210e+08 3.6895843823720485e+08 3.6896695702265143e+08 3.6897116154845756e+08 3.6897091478812313e+08 3.6896505224243510e+08 3.6895265831478602e+08 3.6893293794398606e+08 3.6890478912617701e+08 3.6886692532878357e+08 3.6881794871236354e+08 3.6875623996602231e+08 3.6867983183748019e+08 3.6858638419292057e+08 3.6847298109834653e+08 3.6833502548246509e+08 3.6816448554933310e+08 3.6795559882681507e+08 3.6770601815728295e+08 3.6740947976522285e+08 3.6705742142273605e+08 3.6663994958235151e+08 3.6614542399371356e+08 3.6556011588610852e+08 3.6486782658289856e+08 3.6404946268637884e+08 3.6308256690207124e+08 3.6194082629137409e+08 3.6059350824294025e+08 3.5900496089636701e+08 3.5713416242567664e+08 3.5493451008857566e+08 3.5235386811106354e+08 3.4909123365954858e+08 3.4524796425657439e+08 3.4074843593669868e+08 3.3552228497067481e+08 3.2951275700803930e+08 3.2268715393863893e+08 3.1504829001024598e+08 3.0664484685736358e+08 2.9757804576015991e+08 2.8799959830810773e+08 2.7810159764287263e+08 2.6810652124234372e+08 2.5824610712957209e+08 2.4871891936541378e+08 2.3968576369775105e+08 2.3126504054794803e+08 2.2352276786622715e+08 2.1648442686249062e+08 2.1014002745318508e+08 2.0446492036622146e+08 1.9941329133971888e+08 1.9494308649479446e+08 1.9100081834722105e+08 1.8754796824793604e+08 1.8453707362377197e+08 1.8192635023299053e+08 1.7968359390240514e+08 1.7777042064855772e+08 1.7614917812472066e+08 1.7479331932150671e+08 1.7366678524657682e+08 1.7274595710472578e+08 1.7200175970503688e+08 1.7141058291927004e+08 1.7093874042954394e+08 1.7055261934122777e+08 1.7022908227797508e+08 1.6994503964814225e+08 1.6967607879117650e+08 1.6948544621765444e+08 1.6929286229398474e+08 1.6909631685895088e+08 1.6889043917761770e+08 1.6867805047025168e+08 1.6845288153773075e+08 1.6822334398112926e+08 1.6796774219472638e+08 1.6769419622807083e+08 1.6739767309317151e+08 1.6707424267426017e+08 1.6671912918670219e+08 1.6632695262108874e+08 1.6588981703394535e+08 1.6540949608998060e+08 1.6486658395454171e+08 1.6425788863769305e+08 1.6357457846948898e+08 1.6280714911201245e+08 1.6194579918457565e+08 1.6098069743081307e+08 1.5990081074467826e+08 1.5870846641156721e+08 1.5738158768673247e+08 1.5592525008835581e+08 1.5434282230844164e+08 1.5264671604648268e+08 1.5085804898624945e+08 1.4901701634827209e+08 1.4718328399786860e+08 1.4545561146891108e+08 1.4395605055101195e+08 1.4287799313978490e+08 1.4249002053595307e+08 1.4318297303175333e+08 1.4552510526918790e+08 1.5037756966240513e+08 1.5910348996476537e+08 1.7400123735596302e+08 4.5578531312918700e+07 +8.0344114704900562e+00 3.6876196892620999e+08 3.6872619827743316e+08 3.6866592501121026e+08 3.6858728553466421e+08 3.6850935752277672e+08 3.6846169613581544e+08 3.6845738083435357e+08 3.6847410311158741e+08 3.6848912798268074e+08 3.6849756709164298e+08 3.6850168239717698e+08 3.6850133449240595e+08 3.6849535731117809e+08 3.6848283279735810e+08 3.6846296275027335e+08 3.6843464172312522e+08 3.6839657895839119e+08 3.6834737138402700e+08 3.6828539349065900e+08 3.6820867088274497e+08 3.6811485511360353e+08 3.6800102067721295e+08 3.6786255894394279e+08 3.6769141867707074e+08 3.6748180720188165e+08 3.6723135972028029e+08 3.6693380302161598e+08 3.6658055654115242e+08 3.6616170219113505e+08 3.6566557201986492e+08 3.6507840705760872e+08 3.6438397637764633e+08 3.6356315299893481e+08 3.6259344583790904e+08 3.6144850963481736e+08 3.6009758341270727e+08 3.5850499424519718e+08 3.5662971102880937e+08 3.5442513917652321e+08 3.5183917549553972e+08 3.4857044964780235e+08 3.4472083337815285e+08 3.4021490133251053e+08 3.3498256081551069e+08 3.2896740019488043e+08 3.2213712262700039e+08 3.1449497289880294e+08 3.0609004638252693e+08 2.9702390246556735e+08 2.8744845892647165e+08 2.7755584130287391e+08 2.6756834945221409e+08 2.5771735096824634e+08 2.4820094832013229e+08 2.3917943123107135e+08 2.3077068934270459e+08 2.2304030920568851e+08 2.1601343498290834e+08 2.0967985035473320e+08 2.0401475372672722e+08 1.9897227257923463e+08 1.9451032315335402e+08 1.9057544819301787e+08 1.8712914658129379e+08 1.8412401414897361e+08 1.8151832466589457e+08 1.7927991771554258e+08 1.7737047659219530e+08 1.7575241753231248e+08 1.7439923912846851e+08 1.7327495408599514e+08 1.7235598385340276e+08 1.7161330873166436e+08 1.7102336004188049e+08 1.7055251568739906e+08 1.7016722906440878e+08 1.6984440350600481e+08 1.6956099323682594e+08 1.6929263656280619e+08 1.6910243396642491e+08 1.6891028498548988e+08 1.6871418368256792e+08 1.6850877131234452e+08 1.6829686265911880e+08 1.6807220307617259e+08 1.6784318313108888e+08 1.6758815906462198e+08 1.6731523136842069e+08 1.6701937842780676e+08 1.6669667900881526e+08 1.6634236811898601e+08 1.6595107790694183e+08 1.6551493067305601e+08 1.6503569408712509e+08 1.6449400894458389e+08 1.6388668927927837e+08 1.6320492337997696e+08 1.6243922838684890e+08 1.6157982506867281e+08 1.6061690438663259e+08 1.5953945855366266e+08 1.5834980768483734e+08 1.5702592759772906e+08 1.5557288119451907e+08 1.5399402955480769e+08 1.5230175632949618e+08 1.5051713147942844e+08 1.4868025939016813e+08 1.4685067144507742e+08 1.4512690224078184e+08 1.4363073020198196e+08 1.4255510913112441e+08 1.4216801371852201e+08 1.4285940032888544e+08 1.4519623959519386e+08 1.5003773802909231e+08 1.5874393944802907e+08 1.7360801862058550e+08 4.5436810414300293e+07 +8.0393797932643150e+00 3.6829201148927003e+08 3.6825628411851013e+08 3.6819608316181642e+08 3.6811753340538889e+08 3.6803968685724401e+08 3.6799205826178998e+08 3.6798771094230711e+08 3.6800436557120609e+08 3.6801931498733425e+08 3.6802767462074262e+08 3.6803170095776349e+08 3.6803125221892071e+08 3.6802516078699958e+08 3.6801250615463018e+08 3.6799248699793905e+08 3.6796399444185483e+08 3.6792573352488106e+08 3.6787629596641761e+08 3.6781405008658993e+08 3.6773701437896693e+08 3.6764283212395483e+08 3.6752856828854787e+08 3.6738960274638766e+08 3.6721786492570710e+08 3.6700753207549995e+08 3.6675622182848704e+08 3.6645765160772616e+08 3.6610322262074465e+08 3.6568299237964147e+08 3.6518526539322835e+08 3.6459625267854786e+08 3.6389969127312058e+08 3.6307642085380930e+08 3.6210391681988931e+08 3.6095580189462876e+08 3.5960128706954187e+08 3.5800467871335781e+08 3.5612493682774961e+08 3.5391547536934000e+08 3.5132422410513180e+08 3.4804944859890544e+08 3.4419353276131141e+08 3.3968124997726190e+08 3.3444277843755281e+08 3.2842204870642054e+08 3.2158716422374654e+08 3.1394179882606059e+08 3.0553545965666938e+08 2.9647004189878017e+08 2.8689766710079497e+08 2.7701049096556008e+08 2.6703063404492539e+08 2.5718909259092185e+08 2.4768350732553294e+08 2.3867365253358349e+08 2.3027690820252639e+08 2.2255843085901022e+08 2.1554302903115317e+08 2.0922026142692482e+08 2.0356517520969069e+08 1.9853184040051606e+08 1.9407814398682997e+08 1.9015065933754325e+08 1.8671090319229653e+08 1.8371152995453668e+08 1.8111087151436403e+08 1.7887681130334401e+08 1.7697109990223885e+08 1.7535622212163544e+08 1.7400572216722289e+08 1.7288368439193410e+08 1.7196657049783418e+08 1.7122541625058925e+08 1.7063669442089513e+08 1.7016684710035479e+08 1.6978239392902285e+08 1.6946027894737473e+08 1.6917750017452937e+08 1.6890974683086321e+08 1.6871997359617057e+08 1.6852825893246415e+08 1.6833260112220615e+08 1.6812765339218903e+08 1.6791622410087505e+08 1.6769207313138154e+08 1.6746357005731073e+08 1.6720912287774670e+08 1.6693681256050834e+08 1.6664162884828478e+08 1.6631965937537688e+08 1.6596614992635572e+08 1.6557574479023528e+08 1.6514058448310757e+08 1.6466243069817233e+08 1.6412197077994695e+08 1.6351602478374684e+08 1.6283580092763957e+08 1.6207183779932237e+08 1.6121437828524101e+08 1.6025363553183904e+08 1.5917862703276739e+08 1.5799166575213575e+08 1.5667077998152164e+08 1.5522102003087193e+08 1.5364573937814510e+08 1.5195729366593328e+08 1.5017670520130974e+08 1.4834398766530582e+08 1.4651853815187684e+08 1.4479866665269363e+08 1.4330587860913113e+08 1.4223269036797392e+08 1.4184647088050416e+08 1.4253629386145276e+08 1.4486784778367579e+08 1.4969839605955434e+08 1.5838490700596821e+08 1.7321536647926757e+08 4.5295478579955518e+07 +8.0443481160385737e+00 3.6782155712035877e+08 3.6778587179512036e+08 3.6772574301624328e+08 3.6764728319222492e+08 3.6756951823676932e+08 3.6752192263480878e+08 3.6751754342993921e+08 3.6753413052790117e+08 3.6754900464091808e+08 3.6755728499985403e+08 3.6756122262009209e+08 3.6756067335837680e+08 3.6755446805916518e+08 3.6754168377644676e+08 3.6752151607646716e+08 3.6749285267122984e+08 3.6745439441712165e+08 3.6740472784765333e+08 3.6734221514131176e+08 3.6726486771254236e+08 3.6717032060844928e+08 3.6705562931524551e+08 3.6691616227074999e+08 3.6674382967312098e+08 3.6653277882242465e+08 3.6628060985371655e+08 3.6598103089045876e+08 3.6562542502343541e+08 3.6520382550237238e+08 3.6470450946011466e+08 3.6411365808661222e+08 3.6341497659504622e+08 3.6258927156228620e+08 3.6161398514234531e+08 3.6046270834409541e+08 3.5910462446147048e+08 3.5750401951794058e+08 3.5561984500090379e+08 3.5340552379875588e+08 3.5080901901305008e+08 3.4752823550985211e+08 3.4366606730861980e+08 3.3914748665704513e+08 3.3390294248171252e+08 3.2787670701774371e+08 3.2103728300383002e+08 3.1338877183641201e+08 3.0498109046459997e+08 2.9591646756169313e+08 2.8634722603333169e+08 2.7646554952753884e+08 2.6649337761654669e+08 2.5666133430812806e+08 2.4716659843009961e+08 2.3816842942025617e+08 2.2978369873956788e+08 2.2207713426548651e+08 2.1507321030087578e+08 2.0876126184262004e+08 2.0311618588738263e+08 1.9809199579245570e+08 1.9364654991404769e+08 1.8972645264147982e+08 1.8629323889325187e+08 1.8329962181198975e+08 1.8070399151583430e+08 1.7847427537470996e+08 1.7657229126431173e+08 1.7496059255899030e+08 1.7361276908857781e+08 1.7249297680292529e+08 1.7157771766719034e+08 1.7083808288401699e+08 1.7025058667354771e+08 1.6978173528214625e+08 1.6939811454608893e+08 1.6907670921128336e+08 1.6879456106956720e+08 1.6852741020252907e+08 1.6833806571327940e+08 1.6814678474073666e+08 1.6795156978255177e+08 1.6774708602153572e+08 1.6753613539914963e+08 1.6731249230585575e+08 1.6708450536134204e+08 1.6683063423514777e+08 1.6655894040461540e+08 1.6626442495342878e+08 1.6594318437163270e+08 1.6559047520520869e+08 1.6520095386622635e+08 1.6476677905771178e+08 1.6428970651465005e+08 1.6375047005046359e+08 1.6314589573868203e+08 1.6246721169761893e+08 1.6170497793190685e+08 1.6084945941357753e+08 1.5989089144221872e+08 1.5881831675394848e+08 1.5763404118131346e+08 1.5631614540145123e+08 1.5486966715528980e+08 1.5329795233059624e+08 1.5161332860215467e+08 1.4983677069163427e+08 1.4800820170688087e+08 1.4618688464482716e+08 1.4447090522483024e+08 1.4298149628790790e+08 1.4191073736145744e+08 1.4152539253170723e+08 1.4221365414172378e+08 1.4453993035519221e+08 1.4935954429161724e+08 1.5802639320752060e+08 1.7282328155464000e+08 4.5154534983410478e+07 +8.0493164388128324e+00 3.6735060868297690e+08 3.6731496845646757e+08 3.6725491041120046e+08 3.6717654045127445e+08 3.6709885702916574e+08 3.6705129462745053e+08 3.6704688367250252e+08 3.6706340335666758e+08 3.6707820231841296e+08 3.6708640360345197e+08 3.6709025275840318e+08 3.6708960328447706e+08 3.6708328450281924e+08 3.6707037103705341e+08 3.6705005536034435e+08 3.6702122178512776e+08 3.6698256700794750e+08 3.6693267240000880e+08 3.6686989402552694e+08 3.6679223625394320e+08 3.6669732593633372e+08 3.6658220912465155e+08 3.6644224288239354e+08 3.6626931828243011e+08 3.6605755280274159e+08 3.6580452915137911e+08 3.6550394622105622e+08 3.6514716909435570e+08 3.6472420689874250e+08 3.6422330955208081e+08 3.6363062860280651e+08 3.6292983765308845e+08 3.6210171041974819e+08 3.6112365608344054e+08 3.5996923424049914e+08 3.5860760081930888e+08 3.5700302185857230e+08 3.5511444070913762e+08 3.5289528957764816e+08 3.5029356527520752e+08 3.4700681535949451e+08 3.4313844190363729e+08 3.3861361613923943e+08 3.3336305757349598e+08 3.2733137958492750e+08 3.2048748322343832e+08 3.1283589595530957e+08 3.0442694257216913e+08 2.9536318293690413e+08 2.8579713890764409e+08 2.7592101986803263e+08 2.6595658274604905e+08 2.5613407841401392e+08 2.4665022366686726e+08 2.3766376369154447e+08 2.2929106255210349e+08 2.2159642085134473e+08 2.1460398007384107e+08 2.0830285276306745e+08 2.0266778682096806e+08 1.9765273973291019e+08 1.9321554184397852e+08 1.8930282895594007e+08 1.8587615448657045e+08 1.8288829048341113e+08 1.8029768539867529e+08 1.7807231062979132e+08 1.7617405135519654e+08 1.7456552950203696e+08 1.7322038053474805e+08 1.7210283194911131e+08 1.7118942598206580e+08 1.7045130924553728e+08 1.6986503740839359e+08 1.6939718083787051e+08 1.6901439151837710e+08 1.6869369489909258e+08 1.6841217652164337e+08 1.6814562727654612e+08 1.6795671091596073e+08 1.6776586300780970e+08 1.6757109026042831e+08 1.6736706979601911e+08 1.6715659714916530e+08 1.6693346119426081e+08 1.6670598963704786e+08 1.6645269372941530e+08 1.6618161549231136e+08 1.6588776733395195e+08 1.6556725458731449e+08 1.6521534454404387e+08 1.6482670572164592e+08 1.6439351498227927e+08 1.6391752212052497e+08 1.6337950733799291e+08 1.6277630272350442e+08 1.6209915626736438e+08 1.6133864935924107e+08 1.6048506902528328e+08 1.5952867268608099e+08 1.5845852828142136e+08 1.5727693453249365e+08 1.5596202441267452e+08 1.5451882311799309e+08 1.5295066895682198e+08 1.5126986167663303e+08 1.4949732848276010e+08 1.4767290204086947e+08 1.4585571144330427e+08 1.4414361847044778e+08 1.4265758374607462e+08 1.4158925061576021e+08 1.4120477917513046e+08 1.4189148167469946e+08 1.4421248782331887e+08 1.4902118325609255e+08 1.5766839861445320e+08 1.7243176446052390e+08 4.5013978798747443e+07 +8.0542847615870912e+00 3.6687917045161265e+08 3.6684357451960164e+08 3.6678358987671918e+08 3.6670531053205526e+08 3.6662770860589373e+08 3.6658017960036862e+08 3.6657573702896529e+08 3.6659218941630512e+08 3.6660691337796557e+08 3.6661503579049927e+08 3.6661879673187476e+08 3.6661804735709071e+08 3.6661161547633988e+08 3.6659857329532456e+08 3.6657811020729280e+08 3.6654910714156008e+08 3.6651025665500849e+08 3.6646013498049057e+08 3.6639709209578466e+08 3.6631912535772300e+08 3.6622385346085227e+08 3.6610831306862736e+08 3.6596784993097371e+08 3.6579433610077035e+08 3.6558185936019403e+08 3.6532798506214023e+08 3.6502640293498743e+08 3.6466846016364563e+08 3.6424414189190000e+08 3.6374167098370844e+08 3.6314716953246915e+08 3.6244427974040365e+08 3.6161374270546150e+08 3.6063293490465093e+08 3.5947538482395744e+08 3.5811022135781890e+08 3.5650169091761619e+08 3.5460872909612638e+08 3.5238477780281562e+08 3.4977786792962122e+08 3.4648519310849756e+08 3.4261066141207635e+08 3.3807964317281252e+08 3.3282312832020140e+08 3.2678607084476876e+08 3.1993776911918503e+08 3.1228317518808669e+08 3.0387301972627759e+08 2.9481019148830503e+08 2.8524740888907182e+08 2.7537690484796107e+08 2.6542025199520266e+08 2.5560732718691286e+08 2.4613438505383763e+08 2.3715965713342428e+08 2.2879900122496259e+08 2.2111629203003186e+08 2.1413533961987659e+08 2.0784503533790863e+08 2.0221997906013596e+08 1.9721407318929672e+08 1.9278512067470479e+08 1.8887978912182122e+08 1.8545965076526853e+08 1.8247753672150731e+08 1.7989195388178810e+08 1.7767091775958768e+08 1.7577638084247094e+08 1.7417103359980547e+08 1.7282855713929811e+08 1.7171325045194817e+08 1.7080169605481026e+08 1.7006509594057187e+08 1.6948004722585776e+08 1.6901318436440811e+08 1.6863122544036183e+08 1.6831123660342842e+08 1.6803034712230024e+08 1.6776439864328146e+08 1.6757590979388618e+08 1.6738549432275584e+08 1.6719116314421812e+08 1.6698760530370033e+08 1.6677760993788439e+08 1.6655498038261530e+08 1.6632802346971831e+08 1.6607530194502637e+08 1.6580483840714318e+08 1.6551165657230654e+08 1.6519187060361198e+08 1.6484075852306262e+08 1.6445300093534452e+08 1.6402079283406943e+08 1.6354587809116521e+08 1.6300908321634760e+08 1.6240724631008521e+08 1.6173163520594549e+08 1.6097285264783204e+08 1.6012120768375805e+08 1.5916697982336554e+08 1.5809926217188951e+08 1.5692034635780865e+08 1.5560841756283081e+08 1.5416848846162906e+08 1.5260388979387319e+08 1.5092689342047942e+08 1.4915837909954128e+08 1.4733808918572256e+08 1.4552501905961609e+08 1.4381680689580509e+08 1.4233414148463306e+08 1.4126823062809941e+08 1.4088463130640393e+08 1.4156977695886204e+08 1.4388552069448748e+08 1.4868331347624439e+08 1.5731092378033364e+08 1.7204081580266070e+08 4.4873809200611852e+07 +8.0592530843613499e+00 3.6640725435351270e+08 3.6637169958827561e+08 3.6631178627194053e+08 3.6623359858004469e+08 3.6615607833976400e+08 3.6610858289883310e+08 3.6610410884283793e+08 3.6612049405060834e+08 3.6613514316346610e+08 3.6614318690438890e+08 3.6614685988401014e+08 3.6614601091973794e+08 3.6613946632376677e+08 3.6612629589444923e+08 3.6610568596093714e+08 3.6607651408354670e+08 3.6603746870027536e+08 3.6598712093032688e+08 3.6592381469209969e+08 3.6584554036317748e+08 3.6574990851985312e+08 3.6563394648313910e+08 3.6549298875058031e+08 3.6531888845939130e+08 3.6510570382309061e+08 3.6485098290973610e+08 3.6454840635186327e+08 3.6418930354535770e+08 3.6376363578888565e+08 3.6325959905439037e+08 3.6266328616485858e+08 3.6195830813446659e+08 3.6112537368193841e+08 3.6014182685102665e+08 3.5898116531846964e+08 3.5761249127447909e+08 3.5600003186133784e+08 3.5410271528892624e+08 3.5187399355309862e+08 3.4926193199619067e+08 3.4596337370007652e+08 3.4208273068145996e+08 3.3754557248818433e+08 3.3228315930978453e+08 3.2624078521549290e+08 3.1938814490903735e+08 3.1173061352230269e+08 3.0331932565447557e+08 2.9425749666148055e+08 2.8469803912533963e+08 2.7483320731080979e+08 2.6488438790960696e+08 2.5508108288927618e+08 2.4561908459377789e+08 2.3665611151791346e+08 2.2830751632955903e+08 2.2063674920240694e+08 2.1366729019608679e+08 2.0738781070534828e+08 2.0177276364451224e+08 1.9677599711815917e+08 1.9235528729467970e+08 1.8845733397023126e+08 1.8504372851267275e+08 1.8206736126962337e+08 1.7948679767506149e+08 1.7727009744608876e+08 1.7537928038554975e+08 1.7377710549220598e+08 1.7243729952735102e+08 1.7132423292459324e+08 1.7041452848930818e+08 1.6967944356589758e+08 1.6909561671784595e+08 1.6862974645010325e+08 1.6824861689812708e+08 1.6792933490881762e+08 1.6764907345504034e+08 1.6738372488521248e+08 1.6719566292862496e+08 1.6700567926644635e+08 1.6681178901437926e+08 1.6660869312392321e+08 1.6639917434414771e+08 1.6617705044902954e+08 1.6595060743665370e+08 1.6569845945841518e+08 1.6542860972456628e+08 1.6513609324297222e+08 1.6481703299400744e+08 1.6446671771402064e+08 1.6407984007819790e+08 1.6364861318241754e+08 1.6317477499421915e+08 1.6263919825094324e+08 1.6203872706197694e+08 1.6136464907466772e+08 1.6060758835633609e+08 1.5975787594486910e+08 1.5880581340661049e+08 1.5774051897395641e+08 1.5656427720190072e+08 1.5525532539204496e+08 1.5381866372107580e+08 1.5225761537145466e+08 1.5058442435773459e+08 1.4881992305970070e+08 1.4700376365286815e+08 1.4519480799869886e+08 1.4349047099998671e+08 1.4201116999754816e+08 1.4094767788871557e+08 1.4056494941468000e+08 1.4124854048563224e+08 1.4355902946803218e+08 1.4834593546806204e+08 1.5695396925119764e+08 1.7165043617781338e+08 4.4734025364219137e+07 +8.0642214071356086e+00 3.6593486062309104e+08 3.6589934849780482e+08 3.6583950766701198e+08 3.6576140976720971e+08 3.6568397159793139e+08 3.6563650985442835e+08 3.6563200444122982e+08 3.6564832258775210e+08 3.6566289700304443e+08 3.6567086227290100e+08 3.6567444754290050e+08 3.6567349930044103e+08 3.6566684237269652e+08 3.6565354416255802e+08 3.6563278794879067e+08 3.6560344793775111e+08 3.6556420847054738e+08 3.6551363557527459e+08 3.6545006713958651e+08 3.6537148659409332e+08 3.6527549643600327e+08 3.6515911468890041e+08 3.6501766465933537e+08 3.6484298067387736e+08 3.6462909150397098e+08 3.6437352800296307e+08 3.6406996177527153e+08 3.6370970453737503e+08 3.6328269388108999e+08 3.6277709904690951e+08 3.6217898377287048e+08 3.6147192809601408e+08 3.6063660859581763e+08 3.5965033715171331e+08 3.5848658093082422e+08 3.5711441575018543e+08 3.5549804983771473e+08 3.5359640439671248e+08 3.5136294188955975e+08 3.4874576247799891e+08 3.4544136205934942e+08 3.4155465454103708e+08 3.3701140879664713e+08 3.3174315511196643e+08 3.2569552709624046e+08 3.1883861479111910e+08 3.1117821492550278e+08 3.0276586406561655e+08 2.9370510188312590e+08 2.8414903274519056e+08 2.7428993008281875e+08 2.6434899301757461e+08 2.5455534776705763e+08 2.4510432427378029e+08 2.3615312860216251e+08 2.2781660942352992e+08 2.2015779375612810e+08 2.1319983304812801e+08 2.0693117999195763e+08 2.0132614160190266e+08 1.9633851246599278e+08 1.9192604258220631e+08 1.8803546432270822e+08 1.8462838850263932e+08 1.8165776486189243e+08 1.7908221747943681e+08 1.7686985036249757e+08 1.7498275063445917e+08 1.7338374581101242e+08 1.7204660831537068e+08 1.7093577997150680e+08 1.7002792388087496e+08 1.6929435271022028e+08 1.6871174646805277e+08 1.6824686767533275e+08 1.6786656646962267e+08 1.6754799039145508e+08 1.6726835609467429e+08 1.6700360657614157e+08 1.6681597089349470e+08 1.6662641841158926e+08 1.6643296844275817e+08 1.6623033382813850e+08 1.6602129093841898e+08 1.6579967196349701e+08 1.6557374210690537e+08 1.6532216683779988e+08 1.6505293001193383e+08 1.6476107791226465e+08 1.6444274232355464e+08 1.6409322268113181e+08 1.6370722371273968e+08 1.6327697658844435e+08 1.6280421338942662e+08 1.6226985299979347e+08 1.6167074553472573e+08 1.6099819842676416e+08 1.6024285703554940e+08 1.5939507435638520e+08 1.5844517398031989e+08 1.5738229922846395e+08 1.5620872760172072e+08 1.5490274843269452e+08 1.5346934942394799e+08 1.5191184621159941e+08 1.5024245500455868e+08 1.4848196087358284e+08 1.4666992594638342e+08 1.4486507875846884e+08 1.4316461127497977e+08 1.4168866977171233e+08 1.4062759288105825e+08 1.4024573398180053e+08 1.4092777273919347e+08 1.4323301463621187e+08 1.4800904974043447e+08 1.5659753556511199e+08 1.7126062617473087e+08 4.4594626465361245e+07 +8.0691897299098674e+00 3.6546199388002622e+08 3.6542652437687737e+08 3.6536675777842391e+08 3.6528874948184764e+08 3.6521139372887450e+08 3.6516396578307015e+08 3.6515942913618636e+08 3.6517568034028542e+08 3.6519018020901108e+08 3.6519806720833457e+08 3.6520156502044529e+08 3.6520051781164467e+08 3.6519374893593258e+08 3.6518032341149557e+08 3.6515942148238873e+08 3.6512991401573610e+08 3.6509048127664882e+08 3.6503968422560346e+08 3.6497585474756020e+08 3.6489696935851705e+08 3.6480062251538205e+08 3.6468382299061084e+08 3.6454188296061397e+08 3.6436661804486978e+08 3.6415202769933575e+08 3.6389562563475686e+08 3.6359107449356037e+08 3.6322966842237741e+08 3.6280132144386947e+08 3.6229417622839284e+08 3.6169426761353886e+08 3.6098514487010169e+08 3.6014745267698622e+08 3.5915847101842767e+08 3.5799163685195547e+08 3.5661599994909090e+08 3.5499574997904032e+08 3.5308980151182503e+08 3.5085162785642904e+08 3.4822936435977370e+08 3.4491916309288192e+08 3.4102643780160755e+08 3.3647715679214418e+08 3.3120312027743512e+08 3.2515030086715740e+08 3.1828918294554484e+08 3.1062598334667140e+08 3.0221263865042567e+08 2.9315301056140119e+08 2.8360039285982943e+08 2.7374707597280240e+08 2.6381406983068836e+08 2.5403012405048171e+08 2.4459010606657004e+08 2.3565071012936690e+08 2.2732628205124941e+08 2.1967942706687975e+08 2.1273296940924796e+08 2.0647514431308210e+08 2.0088011394931552e+08 1.9590162016837400e+08 1.9149738740500423e+08 1.8761418099057785e+08 1.8421363149947068e+08 1.8124874822296005e+08 1.7867821398680264e+08 1.7647017717307279e+08 1.7458679223089793e+08 1.7299095517928499e+08 1.7165648411125711e+08 1.7054789218907368e+08 1.6964188281657872e+08 1.6890982395383289e+08 1.6832843705186272e+08 1.6786454861198437e+08 1.6748507472450989e+08 1.6716720361961046e+08 1.6688819560812652e+08 1.6662404428221366e+08 1.6643683425395355e+08 1.6624771232273602e+08 1.6605470199328968e+08 1.6585252797952572e+08 1.6564396028346825e+08 1.6542284548766890e+08 1.6519742804147944e+08 1.6494642464316896e+08 1.6467779982824647e+08 1.6438661113838199e+08 1.6406899914952508e+08 1.6372027398035935e+08 1.6333515239357814e+08 1.6290588360536271e+08 1.6243419382807696e+08 1.6190104801245323e+08 1.6130330227625468e+08 1.6063228380787152e+08 1.5987865922846949e+08 1.5903280345827317e+08 1.5808506208150017e+08 1.5702460346879199e+08 1.5585369808640113e+08 1.5455068720958939e+08 1.5312054609021997e+08 1.5156658282892513e+08 1.4990098587009662e+08 1.4814449304426587e+08 1.4633657656314084e+08 1.4453583182991514e+08 1.4283922820599094e+08 1.4136664128729746e+08 1.4030797608137485e+08 1.3992698548304957e+08 1.4060747419711939e+08 1.4290747668442872e+08 1.4767265679452056e+08 1.5624162325276867e+08 1.7087138637359947e+08 4.4455611680413499e+07 +8.0741580526841261e+00 3.6498865909778619e+08 3.6495323672191346e+08 3.6489354134057850e+08 3.6481562324750870e+08 3.6473835005010599e+08 3.6469095598299605e+08 3.6468638822268409e+08 3.6470257260556406e+08 3.6471699807839650e+08 3.6472480700739408e+08 3.6472821761429131e+08 3.6472707175082308e+08 3.6472019131010753e+08 3.6470663893823564e+08 3.6468559185847569e+08 3.6465591761387843e+08 3.6461629241380990e+08 3.6456527217590433e+08 3.6450118280984789e+08 3.6442199394917160e+08 3.6432529204948360e+08 3.6420807667761779e+08 3.6406564894093245e+08 3.6388980585641634e+08 3.6367451769064635e+08 3.6341728108179897e+08 3.6311174977922040e+08 3.6274920046651477e+08 3.6231952373653585e+08 3.6181083585026550e+08 3.6120914292767251e+08 3.6049796368546045e+08 3.5965791113951743e+08 3.5866623364756131e+08 3.5749633825535840e+08 3.5611724901857972e+08 3.5449313739996314e+08 3.5258291170946187e+08 3.5034005648038799e+08 3.4771274260913366e+08 3.4439678168998069e+08 3.4049808525620764e+08 3.3594282114931387e+08 3.3066305933829314e+08 3.2460511088895136e+08 3.1773985353291899e+08 3.1007392271575171e+08 3.0165965307945919e+08 2.9260122608566189e+08 2.8305212256216913e+08 2.7320464777120268e+08 2.6327962084367406e+08 2.5350541395391303e+08 2.4407643192963997e+08 2.3514885782829878e+08 2.2683653574371845e+08 2.1920165049677458e+08 2.1226670050087142e+08 2.0601970477253464e+08 2.0043468169344676e+08 1.9546532115089777e+08 1.9106932262155372e+08 1.8719348477606705e+08 1.8379945825821462e+08 1.8084031206869510e+08 1.7827478787979135e+08 1.7607107853331327e+08 1.7419140580766177e+08 1.7259873421125114e+08 1.7126692751447028e+08 1.7016057016479072e+08 1.6925640587515488e+08 1.6852585786852875e+08 1.6794568903630894e+08 1.6748278982389960e+08 1.6710414222416902e+08 1.6678697515288991e+08 1.6650859255389443e+08 1.6624503856089875e+08 1.6605825356682304e+08 1.6586956155635235e+08 1.6567699022172558e+08 1.6547527613301951e+08 1.6526718293339646e+08 1.6504657157515174e+08 1.6482166579302615e+08 1.6457123342677376e+08 1.6430321972498715e+08 1.6401269347150689e+08 1.6369580402090618e+08 1.6334787215962330e+08 1.6296362666746652e+08 1.6253533477847975e+08 1.6206471685397121e+08 1.6153278383103651e+08 1.6093639782624203e+08 1.6026690575562918e+08 1.5951499546995482e+08 1.5867106378296289e+08 1.5772547823892269e+08 1.5666743222028115e+08 1.5549918917758936e+08 1.5419914223997739e+08 1.5277225423237291e+08 1.5122182573093829e+08 1.4956001745603660e+08 1.4780752006758705e+08 1.4600371599302441e+08 1.4420706769661689e+08 1.4251432227086806e+08 1.4104508501728812e+08 1.3998882795939624e+08 1.3960870438665578e+08 1.4028764532998458e+08 1.4258241609085566e+08 1.4733675712477496e+08 1.5588623283710209e+08 1.7048271734634626e+08 4.4316980186341204e+07 +8.0791263754583849e+00 3.6451486564551651e+08 3.6447948474038523e+08 3.6441986338973886e+08 3.6434203649097949e+08 3.6426484583946508e+08 3.6421748573465353e+08 3.6421288698040354e+08 3.6422900466486233e+08 3.6424335589290541e+08 3.6425108695139945e+08 3.6425441060546935e+08 3.6425316639950889e+08 3.6424617477685505e+08 3.6423249602390724e+08 3.6421130435780269e+08 3.6418146401223922e+08 3.6414164716215563e+08 3.6409040470533037e+08 3.6402605660407305e+08 3.6394656564260352e+08 3.6384951031350809e+08 3.6373188102387142e+08 3.6358896787195456e+08 3.6341254937726974e+08 3.6319656674308765e+08 3.6293849960613799e+08 3.6263199288799387e+08 3.6226830592059082e+08 3.6183730600306970e+08 3.6132708314710432e+08 3.6072361494060391e+08 3.6001038975442541e+08 3.5916798918074149e+08 3.5817363021832138e+08 3.5700069029893559e+08 3.5561816808896261e+08 3.5399021719876170e+08 3.5207574004767519e+08 3.4982823277068090e+08 3.4719590217571712e+08 3.4387422272232854e+08 3.3996960167886549e+08 3.3540840652454036e+08 3.3012297680738217e+08 3.2405996150472534e+08 3.1719063069424587e+08 3.0952203694334191e+08 3.0110691100507820e+08 2.9204975182700431e+08 2.8250422492670739e+08 2.7266264825243056e+08 2.6274564853483856e+08 2.5298121967591223e+08 2.4356330380492437e+08 2.3464757341398260e+08 2.2634737201840785e+08 2.1872446539615858e+08 2.1180102753241864e+08 2.0556486246274677e+08 1.9998984582960483e+08 1.9502961632841203e+08 1.9064184907956100e+08 1.8677337647104007e+08 1.8338586952426386e+08 1.8043245710540697e+08 1.7787193983237195e+08 1.7567255508999249e+08 1.7379659198911330e+08 1.7220708351282230e+08 1.7087793911626738e+08 1.6977381447815141e+08 1.6887149362692490e+08 1.6814245501833406e+08 1.6756350298053834e+08 1.6710159186652583e+08 1.6672376952203155e+08 1.6640730554329517e+08 1.6612954748287135e+08 1.6586658996179262e+08 1.6568022938112739e+08 1.6549196666064441e+08 1.6529983367572403e+08 1.6509857883586869e+08 1.6489095943477240e+08 1.6467085077167934e+08 1.6444645590669462e+08 1.6419659373247796e+08 1.6392919024488923e+08 1.6363932545374149e+08 1.6332315747890580e+08 1.6297601775904897e+08 1.6259264707321027e+08 1.6216533064502034e+08 1.6169578300289774e+08 1.6116506098930714e+08 1.6057003271686596e+08 1.5990206479964113e+08 1.5915186628748551e+08 1.5830985585493430e+08 1.5736642297429776e+08 1.5631078600111154e+08 1.5514520138932249e+08 1.5384811403359625e+08 1.5242447435532361e+08 1.5087757541730961e+08 1.4921955025678271e+08 1.4747104243208325e+08 1.4567134471850243e+08 1.4387878683545107e+08 1.4218989394083431e+08 1.4072400142814973e+08 1.3967014897784424e+08 1.3929089115436691e+08 1.3996828660161269e+08 1.4225783332696116e+08 1.4700135121814990e+08 1.5553136483347556e+08 1.7009461965640494e+08 4.4178731160706170e+07 +8.0840946982326436e+00 3.6404061644822401e+08 3.6400527991377640e+08 3.6394572964939058e+08 3.6386799444881672e+08 3.6379088633684468e+08 3.6374356030104351e+08 3.6373893067371130e+08 3.6375498178409714e+08 3.6376925891830683e+08 3.6377691230652988e+08 3.6378014925994718e+08 3.6377880702376384e+08 3.6377170460221392e+08 3.6375789993436474e+08 3.6373656424577326e+08 3.6370655847576332e+08 3.6366655078585470e+08 3.6361508707730258e+08 3.6355048139315027e+08 3.6347068970036286e+08 3.6337328256750834e+08 3.6325524128696585e+08 3.6311184500986880e+08 3.6293485386051381e+08 3.6271818010630971e+08 3.6245928645252395e+08 3.6215180906103885e+08 3.6178699001903123e+08 3.6135467347074121e+08 3.6084292333793145e+08 3.6023768886072868e+08 3.5952242827339196e+08 3.5867769198215240e+08 3.5768066589340997e+08 3.5650469812333196e+08 3.5511876227432626e+08 3.5348699445604581e+08 3.5156829156696254e+08 3.4931616171898395e+08 3.4667884799143004e+08 3.4335149104282349e+08 3.3944099182670045e+08 3.3487391755594897e+08 3.2958287718002391e+08 3.2351485703769469e+08 3.1664151855288726e+08 3.0897032992170280e+08 3.0055441606087881e+08 2.9149859113798183e+08 2.8195670301059014e+08 2.7212108017209375e+08 2.6221215536590323e+08 2.5245754339890760e+08 2.4305072362030548e+08 2.3414685858701754e+08 2.2585879237966236e+08 2.1824787310237989e+08 2.1133595170146772e+08 2.0511061846487215e+08 1.9954560734238741e+08 1.9459450660553965e+08 1.9021496761724198e+08 1.8635385685817283e+08 1.8297286603375882e+08 1.8002518403058907e+08 1.7746967050931978e+08 1.7527460748114410e+08 1.7340235139080545e+08 1.7181600368137842e+08 1.7048951949916846e+08 1.6938762570018274e+08 1.6848714663406527e+08 1.6775961595842156e+08 1.6718187943502513e+08 1.6672095528741741e+08 1.6634395716318697e+08 1.6602819533418715e+08 1.6575106093730316e+08 1.6548869902645802e+08 1.6530276223768315e+08 1.6511492817594555e+08 1.6492323289493498e+08 1.6472243662691042e+08 1.6451529032583800e+08 1.6429568361481452e+08 1.6407179891922939e+08 1.6382250609631503e+08 1.6355571192353231e+08 1.6326650761934620e+08 1.6295106005667686e+08 1.6260471131049860e+08 1.6222221414151007e+08 1.6179587173452026e+08 1.6132739280249527e+08 1.6079788001336002e+08 1.6020420747214726e+08 1.5953776146216366e+08 1.5878927220049533e+08 1.5794918019090226e+08 1.5700789680119002e+08 1.5595466532134748e+08 1.5479173522808248e+08 1.5349760309264097e+08 1.5207720695665252e+08 1.5053383238086081e+08 1.4887958475940746e+08 1.4713506061928967e+08 1.4533946321539849e+08 1.4355098971592689e+08 1.4186594368002909e+08 1.4040339097903666e+08 1.3935193959266192e+08 1.3897354624054569e+08 1.3964939846884209e+08 1.4193372885710672e+08 1.4666643955464318e+08 1.5517701974951911e+08 1.6970709385917017e+08 4.4040863781673267e+07 +8.0890630210069023e+00 3.6356591716710603e+08 3.6353062328996885e+08 3.6347114523744267e+08 3.6339350218965042e+08 3.6331647675310516e+08 3.6326918492733246e+08 3.6326452455083007e+08 3.6328050921364635e+08 3.6329471240518254e+08 3.6330228832241416e+08 3.6330543882813555e+08 3.6330399887416232e+08 3.6329678603615046e+08 3.6328285591979170e+08 3.6326137677231663e+08 3.6323120625413311e+08 3.6319100853374231e+08 3.6313932453994942e+08 3.6307446242404073e+08 3.6299437136811781e+08 3.6289661405561519e+08 3.6277816270978701e+08 3.6263428559403610e+08 3.6245672454364932e+08 3.6223936301439667e+08 3.6197964685125691e+08 3.6167120352312469e+08 3.6130525798120886e+08 3.6087163135132027e+08 3.6035836162621021e+08 3.5975136988051176e+08 3.5903408442250407e+08 3.5818702470843631e+08 3.5718734581981385e+08 3.5600836685276735e+08 3.5461903667181957e+08 3.5298347423595375e+08 3.5106057129155082e+08 3.4880384830002713e+08 3.4616158497124708e+08 3.4282859148684186e+08 3.3891226043767196e+08 3.3433935886296511e+08 3.2904276493183404e+08 3.2296980179271185e+08 3.1609252121235979e+08 3.0841880552362651e+08 3.0000217186176389e+08 2.9094774735316753e+08 2.8140955985269684e+08 2.7157994626937181e+08 2.6167914378163540e+08 2.5193438728987464e+08 2.4253869328779471e+08 2.3364671503402784e+08 2.2537079831853652e+08 2.1777187494021770e+08 2.1087147419357851e+08 2.0465697384889257e+08 1.9910196720574027e+08 1.9415999287654653e+08 1.8978867906244472e+08 1.8593492671027625e+08 1.8256044851363459e+08 1.7961849353232121e+08 1.7706798056693363e+08 1.7487723633570725e+08 1.7300868461979598e+08 1.7142549530593598e+08 1.7010166923754784e+08 1.6900200439387408e+08 1.6810336545080638e+08 1.6737734123631886e+08 1.6680081894265357e+08 1.6634088062590712e+08 1.6596470568470997e+08 1.6564964506122681e+08 1.6537313345160115e+08 1.6511136628843656e+08 1.6492585266938654e+08 1.6473844663458759e+08 1.6454718841112390e+08 1.6434685003722817e+08 1.6414017613678038e+08 1.6392107063407478e+08 1.6369769535954630e+08 1.6344897104639375e+08 1.6318278528785747e+08 1.6289424049454054e+08 1.6257951227966645e+08 1.6223395333811060e+08 1.6185232839534736e+08 1.6142695856839308e+08 1.6095954677293500e+08 1.6043124142166826e+08 1.5983892260862514e+08 1.5917399625726551e+08 1.5842721372100431e+08 1.5758903730015558e+08 1.5664990022588342e+08 1.5559907068397382e+08 1.5443879119280192e+08 1.5314760991197065e+08 1.5173045252668419e+08 1.5019059710653910e+08 1.4854012144394836e+08 1.4679957510341254e+08 1.4500807195201001e+08 1.4322367680093285e+08 1.4154247194579262e+08 1.4008325412262422e+08 1.3903420025299758e+08 1.3865667009349582e+08 1.3933098138183436e+08 1.4161010313877004e+08 1.4633202260695630e+08 1.5482319808560988e+08 1.6932014050154498e+08 4.3903377228016913e+07 +8.0940313437811611e+00 3.6309077120227075e+08 3.6305552011503732e+08 3.6299611548711348e+08 3.6291856481966132e+08 3.6284162228286874e+08 3.6279436484390873e+08 3.6278967384520721e+08 3.6280559218777806e+08 3.6281972158856815e+08 3.6282722023401964e+08 3.6283028454480618e+08 3.6282874718587726e+08 3.6282142431382817e+08 3.6280736921436071e+08 3.6278574717155564e+08 3.6275541258092701e+08 3.6271502563879323e+08 3.6266312232537514e+08 3.6259800492804915e+08 3.6251761587623775e+08 3.6241951000641811e+08 3.6230065051845038e+08 3.6215629484983546e+08 3.6197816664821565e+08 3.6176012068531018e+08 3.6149958601602334e+08 3.6119018148320693e+08 3.6082311500967103e+08 3.6038818484045988e+08 3.5987340319834632e+08 3.5926466317675638e+08 3.5854536336534899e+08 3.5769599250814849e+08 3.5669367512734854e+08 3.5551170159476411e+08 3.5411899636144716e+08 3.5247966158539218e+08 3.5055258422759366e+08 3.4829129747100854e+08 3.4564411801162809e+08 3.4230552887273955e+08 3.3838341223206437e+08 3.3380473504691422e+08 3.2850264452020591e+08 3.2242480005530906e+08 3.1554364275757241e+08 3.0786746760348129e+08 2.9945018200400609e+08 2.9039722378779906e+08 2.8086279847417784e+08 2.7103924926607245e+08 2.6114661621019992e+08 2.5141175350000790e+08 2.4202721470526299e+08 2.3314714442769203e+08 2.2488339131289914e+08 2.1729647222215253e+08 2.1040759618288749e+08 2.0420392967364040e+08 1.9865892638288599e+08 1.9372607602553749e+08 1.8936298423367974e+08 1.8551658679091123e+08 1.8214861768128386e+08 1.7921238628996542e+08 1.7666687065212527e+08 1.7448044227414811e+08 1.7261559227448884e+08 1.7103555896687061e+08 1.6971438889739609e+08 1.6861695111366588e+08 1.6772015062257102e+08 1.6699563139127845e+08 1.6642032203766993e+08 1.6596136841309184e+08 1.6558601561569425e+08 1.6527165525185177e+08 1.6499576555220923e+08 1.6473459227300048e+08 1.6454950120122829e+08 1.6436252256068739e+08 1.6417170074770030e+08 1.6397181958973369e+08 1.6376561739016810e+08 1.6354701235140845e+08 1.6332414574824053e+08 1.6307598910287291e+08 1.6281041085716087e+08 1.6252252459791046e+08 1.6220851466492531e+08 1.6186374435828647e+08 1.6148299034960634e+08 1.6105859166046023e+08 1.6059224542643139e+08 1.6006514572465557e+08 1.5947417863477820e+08 1.5881076969161189e+08 1.5806569135297829e+08 1.5722942768399677e+08 1.5629243374662730e+08 1.5524400258382541e+08 1.5408636977496257e+08 1.5279813497888425e+08 1.5138421154810065e+08 1.4984787007218161e+08 1.4820116078292057e+08 1.4646458635161525e+08 1.4467717138973281e+08 1.4289684854631251e+08 1.4121947918845466e+08 1.3976359130470705e+08 1.3871693140142363e+08 1.3834026315427995e+08 1.3901303578401372e+08 1.4128695662261239e+08 1.4599810084081286e+08 1.5446990033432770e+08 1.6893376012243062e+08 4.3766270679127581e+07 +8.0989996665554198e+00 3.6261518594309443e+08 3.6257997964791656e+08 3.6252064606339490e+08 3.6244318756455225e+08 3.6236632812024659e+08 3.6231910526756889e+08 3.6231438377519321e+08 3.6233023592500287e+08 3.6234429168772125e+08 3.6235171326066118e+08 3.6235469162951559e+08 3.6235305717835563e+08 3.6234562465424931e+08 3.6233144503765678e+08 3.6230968066197157e+08 3.6227918267448914e+08 3.6223860731884193e+08 3.6218648565077287e+08 3.6212111412099534e+08 3.6204042843885273e+08 3.6194197563299161e+08 3.6182270992454374e+08 3.6167787798526669e+08 3.6149918538016629e+08 3.6128045832190621e+08 3.6101910914549160e+08 3.6070874813439095e+08 3.6034056629148710e+08 3.5990433911805910e+08 3.5938805322614229e+08 3.5877757390979022e+08 3.5805627024985290e+08 3.5720460051401538e+08 3.5619965892974311e+08 3.5501470744043249e+08 3.5361864640721381e+08 3.5197556153495502e+08 3.5004433536486399e+08 3.4777851417136467e+08 3.4512645199199647e+08 3.4178230799927044e+08 3.3785445191157037e+08 3.3327005069035995e+08 3.2796252038401622e+08 3.2187985609293485e+08 3.1499488725451708e+08 3.0731631999661016e+08 2.9889845006482548e+08 2.8984702373976839e+08 2.8031642187786472e+08 2.7049899186644775e+08 2.6061457506394389e+08 2.5088964416468281e+08 2.4151628975542665e+08 2.3264814842628059e+08 2.2439657282723498e+08 2.1682166624837029e+08 2.0994431883127907e+08 2.0375148698637259e+08 1.9821648582645494e+08 1.9329275692635536e+08 1.8893788393904445e+08 1.8509883785380602e+08 1.8173737424497446e+08 1.7880686297357535e+08 1.7626634140354329e+08 1.7408422590862718e+08 1.7222307494501799e+08 1.7064619523628789e+08 1.6932767903632322e+08 1.6823246640586698e+08 1.6733750268701315e+08 1.6661448695433161e+08 1.6604038924657342e+08 1.6558241917240143e+08 1.6520788747711667e+08 1.6489422642583504e+08 1.6461895775753507e+08 1.6435837749782032e+08 1.6417370834970701e+08 1.6398715647038913e+08 1.6379677042041865e+08 1.6359734579951593e+08 1.6339161460017106e+08 1.6317350928012165e+08 1.6295115059866810e+08 1.6270356077781317e+08 1.6243858914284837e+08 1.6215136043962219e+08 1.6183806772206047e+08 1.6149408487929985e+08 1.6111420051166844e+08 1.6069077151653776e+08 1.6022548926734287e+08 1.5969959342509332e+08 1.5910997605173865e+08 1.5844808226382664e+08 1.5770470559299451e+08 1.5687035183638117e+08 1.5593549785455331e+08 1.5488946150874946e+08 1.5373447145846212e+08 1.5244917877330509e+08 1.5103848449653238e+08 1.4950565174880040e+08 1.4786270324199018e+08 1.4613009482391292e+08 1.4434676198322868e+08 1.4257050540075204e+08 1.4089696585158235e+08 1.3944440296432289e+08 1.3840013347352046e+08 1.3802432585745618e+08 1.3869556211211362e+08 1.4096428975246605e+08 1.4566467471465680e+08 1.5411712698082280e+08 1.6854795325217986e+08 4.3629543315018013e+07 +8.1039679893296785e+00 3.6213916279391980e+08 3.6210400273536319e+08 3.6204474248985338e+08 3.6196737568399787e+08 3.6189059946978164e+08 3.6184341140254074e+08 3.6183865954380322e+08 3.6185444562904102e+08 3.6186842790641081e+08 3.6187577260596281e+08 3.6187866528559828e+08 3.6187693405524796e+08 3.6186939226101476e+08 3.6185508859263182e+08 3.6183318244679856e+08 3.6180252173719716e+08 3.6176175877582508e+08 3.6170941971673363e+08 3.6164379520284218e+08 3.6156281425494605e+08 3.6146401613231796e+08 3.6134434612321466e+08 3.6119904019394058e+08 3.6101978592965525e+08 3.6080038111029857e+08 3.6053822142186737e+08 3.6022690865402561e+08 3.5985761699811071e+08 3.5942009934776211e+08 3.5890231686422014e+08 3.5829010722392941e+08 3.5756681020780063e+08 3.5671285384155583e+08 3.5570530232414848e+08 3.5451738946430713e+08 3.5311799185569102e+08 3.5147117909725845e+08 3.4953582967525953e+08 3.4726550332362926e+08 3.4460859177410126e+08 3.4125893364898139e+08 3.3732538416062772e+08 3.3273531035806185e+08 3.2742239694365996e+08 3.2133497415408719e+08 3.1444625875030357e+08 3.0676536651940596e+08 2.9834697960290903e+08 2.8929715048791581e+08 2.7977043304905051e+08 2.6995917675782740e+08 2.6008302273825464e+08 2.5036806140391329e+08 2.4100592030652311e+08 2.3214972867483887e+08 2.2391034431337118e+08 2.1634745830618954e+08 2.0948164328924161e+08 2.0329964682351282e+08 1.9777464647825426e+08 1.9286003644238371e+08 1.8851337897728622e+08 1.8468168064320728e+08 1.8132671890387863e+08 1.7840192424430785e+08 1.7586639345043617e+08 1.7368858784216848e+08 1.7183113321267328e+08 1.7025740467792186e+08 1.6894154020375127e+08 1.6784855080853727e+08 1.6695542217368513e+08 1.6623390844852033e+08 1.6566102108808213e+08 1.6520403341875088e+08 1.6483032178204337e+08 1.6451735909444872e+08 1.6424271057798162e+08 1.6398272247238815e+08 1.6379847462409490e+08 1.6361234887236041e+08 1.6342239793707246e+08 1.6322342917362812e+08 1.6301816827341372e+08 1.6280056192635006e+08 1.6257871041591266e+08 1.6233168657589045e+08 1.6206732064846525e+08 1.6178074852250195e+08 1.6146817195291823e+08 1.6112497540193787e+08 1.6074595938090938e+08 1.6032349863490635e+08 1.5985927879237247e+08 1.5933458501807362e+08 1.5874631535254624e+08 1.5808593446521923e+08 1.5734425692994338e+08 1.5651181024358708e+08 1.5557909303284147e+08 1.5453544793892083e+08 1.5338309671986985e+08 1.5210074176781064e+08 1.5069327184021974e+08 1.4916394259974855e+08 1.4752474927925426e+08 1.4579610097334340e+08 1.4401684417979002e+08 1.4224464780630103e+08 1.4057493237196386e+08 1.3912568953356662e+08 1.3808380689825305e+08 1.3770885863085669e+08 1.3837856079591408e+08 1.4064210296520421e+08 1.4533174468019757e+08 1.5376487850303996e+08 1.6816272041355333e+08 4.3493194316329755e+07 +8.1089363121039373e+00 3.6166271506173962e+08 3.6162759570911705e+08 3.6156841064076871e+08 3.6149113440940386e+08 3.6141444154707122e+08 3.6136728844077373e+08 3.6136250633944017e+08 3.6137822648748195e+08 3.6139213543302906e+08 3.6139940345775199e+08 3.6140221070151496e+08 3.6140038300487268e+08 3.6139273232294160e+08 3.6137830506765085e+08 3.6135625771367115e+08 3.6132543495641071e+08 3.6128448519591826e+08 3.6123192970926344e+08 3.6116605335826951e+08 3.6108477850795388e+08 3.6098563668637007e+08 3.6086556429431224e+08 3.6071978665311110e+08 3.6053997347170317e+08 3.6031989422200143e+08 3.6005692801171064e+08 3.5974466820366359e+08 3.5937427228462052e+08 3.5893547067762214e+08 3.5841619925145769e+08 3.5780226824774295e+08 3.5707698835393959e+08 3.5622075759047270e+08 3.5521061039159214e+08 3.5401975272448564e+08 3.5261703773702174e+08 3.5096651926895928e+08 3.4902707211423910e+08 3.4675226983297038e+08 3.4409054220230979e+08 3.4073541058567756e+08 3.3679621364442796e+08 3.3220051859613949e+08 3.2688227860063124e+08 3.2079015846827257e+08 3.1389776127355647e+08 3.0621461096975839e+08 2.9779577415903765e+08 2.8874760729311854e+08 2.7922483495537043e+08 2.6941980661025935e+08 2.5955196161223352e+08 2.4984700732174557e+08 2.4049610821152315e+08 2.3165188680416936e+08 2.2342470720930800e+08 2.1587384967128360e+08 2.0901957069553530e+08 2.0284841021065521e+08 1.9733340926944226e+08 1.9242791542724365e+08 1.8808947013702300e+08 1.8426511589420411e+08 1.8091665234770975e+08 1.7799757075443050e+08 1.7546702741371059e+08 1.7329352866948774e+08 1.7143976765073973e+08 1.6986918784715551e+08 1.6855597294098219e+08 1.6746520485164410e+08 1.6657390960380062e+08 1.6585389638872212e+08 1.6528221807214406e+08 1.6482621165946972e+08 1.6445331903550202e+08 1.6414105376137546e+08 1.6386702451595113e+08 1.6360762769807714e+08 1.6342380052525502e+08 1.6323810026675060e+08 1.6304858379746029e+08 1.6285007021133345e+08 1.6264527890843874e+08 1.6242817078791693e+08 1.6220682569698611e+08 1.6196036699320391e+08 1.6169660586965108e+08 1.6141068934139472e+08 1.6109882785117406e+08 1.6075641641878965e+08 1.6037826744901645e+08 1.5995677350584123e+08 1.5949361449036801e+08 1.5897012099087939e+08 1.5838319702274022e+08 1.5772432677928337e+08 1.5698434584506407e+08 1.5615380338443595e+08 1.5522321975750577e+08 1.5418196234705722e+08 1.5303224602833810e+08 1.5175282442758885e+08 1.5034857403979170e+08 1.4882274308113214e+08 1.4718729934622887e+08 1.4546260524573490e+08 1.4368741841993746e+08 1.4191927619799271e+08 1.4025337917957240e+08 1.3880745143800598e+08 1.3776795209808666e+08 1.3739386189576796e+08 1.3806203225883669e+08 1.4032039669108838e+08 1.4499931118176234e+08 1.5341315537108994e+08 1.6777806212072748e+08 4.3357222864339381e+07 +8.1139046348781960e+00 3.6118584049212950e+08 3.6115076647627497e+08 3.6109165384850526e+08 3.6101446892937356e+08 3.6093785956559879e+08 3.6089074156004411e+08 3.6088592933487517e+08 3.6090158367180991e+08 3.6091541944020313e+08 3.6092261098895651e+08 3.6092533305007166e+08 3.6092340920035428e+08 3.6091565001201630e+08 3.6090109963467145e+08 3.6087891163432860e+08 3.6084792750335634e+08 3.6080679175017631e+08 3.6075402079809767e+08 3.6068789375608766e+08 3.6060632636530870e+08 3.6050684246118504e+08 3.6038636960189193e+08 3.6024012252444130e+08 3.6005975316465276e+08 3.5983900281210071e+08 3.5957523406609607e+08 3.5926203192911065e+08 3.5889053729090524e+08 3.5845045823986369e+08 3.5792970551087242e+08 3.5731406209299779e+08 3.5658680978747839e+08 3.5572831684454429e+08 3.5471558819633257e+08 3.5352180226171345e+08 3.5211578906439072e+08 3.5046158702964109e+08 3.4851806761972994e+08 3.4623881858738744e+08 3.4357230810298431e+08 3.4021174355565757e+08 3.3626694501127923e+08 3.3166567993195534e+08 3.2634216973797286e+08 3.2024541324634516e+08 3.1334939883387834e+08 3.0566405712707531e+08 2.9724483725481987e+08 2.8819839739835435e+08 2.7867963054706699e+08 2.6888088407690084e+08 2.5902139404852873e+08 2.4932648400719157e+08 2.3998685530931616e+08 2.3115462443105948e+08 2.2293966294097260e+08 2.1540084160662338e+08 2.0855810217718530e+08 2.0239777816175601e+08 1.9689277512105629e+08 1.9199639472425148e+08 1.8766615819730219e+08 1.8384914433195397e+08 1.8050717525732195e+08 1.7759380314733788e+08 1.7506824390554845e+08 1.7289904897669128e+08 1.7104897882362330e+08 1.6948154529112893e+08 1.6817097778080761e+08 1.6708242905732390e+08 1.6619296549090207e+08 1.6547445128197461e+08 1.6490398070142981e+08 1.6444895439380652e+08 1.6407687973458037e+08 1.6376531092205879e+08 1.6349190006624770e+08 1.6323309366896108e+08 1.6304968654639134e+08 1.6286441114634866e+08 1.6267532849360874e+08 1.6247726940410766e+08 1.6227294699607667e+08 1.6205633635504889e+08 1.6183549693154064e+08 1.6158960251878166e+08 1.6132644529443669e+08 1.6104118338335449e+08 1.6073003590302095e+08 1.6038840841521236e+08 1.6001112520006004e+08 1.5959059661205846e+08 1.5912849684266210e+08 1.5860620182319430e+08 1.5802062154036054e+08 1.5736325968190241e+08 1.5662497281200790e+08 1.5579633172993448e+08 1.5486787849698457e+08 1.5382900519830561e+08 1.5268191984571141e+08 1.5140542721057159e+08 1.5000439154927224e+08 1.4848205364211115e+08 1.4685035388696939e+08 1.4512960808027381e+08 1.4335848513728145e+08 1.4159439100422746e+08 1.3993230669757089e+08 1.3848968909661311e+08 1.3745256948873743e+08 1.3707933606679711e+08 1.3774597691735137e+08 1.3999917135355687e+08 1.4466737465718323e+08 1.5306195804815459e+08 1.6739397888003761e+08 4.3221628140964657e+07 +8.1188729576524548e+00 3.6070854744530833e+08 3.6067351672063184e+08 3.6061447752939445e+08 3.6053738437294120e+08 3.6046085871248096e+08 3.6041377592427766e+08 3.6040893368761855e+08 3.6042452233869684e+08 3.6043828508506817e+08 3.6044540035663360e+08 3.6044803748791039e+08 3.6044601779875982e+08 3.6043815048544872e+08 3.6042347745071530e+08 3.6040114936538059e+08 3.6037000453407186e+08 3.6032868359389973e+08 3.6027569813786787e+08 3.6020932154998225e+08 3.6012746297905356e+08 3.6002763860718548e+08 3.5990676719457650e+08 3.5976005295416129e+08 3.5957913015145940e+08 3.5935771201988739e+08 3.5909314472012621e+08 3.5877900496006513e+08 3.5840641714005756e+08 3.5796506715007699e+08 3.5744284074956161e+08 3.5682549385596514e+08 3.5609627959158838e+08 3.5523553667045695e+08 3.5422024078610486e+08 3.5302354310113311e+08 3.5161425083478141e+08 3.4995638734137332e+08 3.4800882111285186e+08 3.4572515445672798e+08 3.4305389428528285e+08 3.3968793728736782e+08 3.3573758289049780e+08 3.3113079887537187e+08 3.2580207472045910e+08 3.1970074268100339e+08 3.1280117542221719e+08 3.0511370875154340e+08 2.9669417239288217e+08 2.8764952402791589e+08 2.7813482275547737e+08 2.6834241179357764e+08 2.5849132239396340e+08 2.4880649353350976e+08 2.3947816342400867e+08 2.3065794315915349e+08 2.2245521292051306e+08 2.1492843536263853e+08 2.0809723884980953e+08 2.0194775167994165e+08 1.9645274494318360e+08 1.9156547516649354e+08 1.8724344392750129e+08 1.8343376667267957e+08 1.8009828830414733e+08 1.7719062205725449e+08 1.7467004352925524e+08 1.7250514934143177e+08 1.7065876728786823e+08 1.6909447754873168e+08 1.6778655524817982e+08 1.6670022393905649e+08 1.6581259034012187e+08 1.6509557362719181e+08 1.6452630947028500e+08 1.6407226211312717e+08 1.6370100436857995e+08 1.6339013106467903e+08 1.6311733771542099e+08 1.6285912087057203e+08 1.6267613317285612e+08 1.6249128199571031e+08 1.6230263250979668e+08 1.6210502723554167e+08 1.6190117301932365e+08 1.6168505911010331e+08 1.6146472460133037e+08 1.6121939363337409e+08 1.6095683940304103e+08 1.6067223112756678e+08 1.6036179658679739e+08 1.6002095186843532e+08 1.5964453311009371e+08 1.5922496842856580e+08 1.5876392632302389e+08 1.5824282798708248e+08 1.5765858937569812e+08 1.5700273364156628e+08 1.5626613829703933e+08 1.5543939574392113e+08 1.5451306971213415e+08 1.5347657695060137e+08 1.5233211862619412e+08 1.5105855056748092e+08 1.4966072481479403e+08 1.4814187472464323e+08 1.4651391333844686e+08 1.4479710990871531e+08 1.4303004475848165e+08 1.4126999264636078e+08 1.3961171534243494e+08 1.3817240292140934e+08 1.3713765947925219e+08 1.3676528155191022e+08 1.3743039518159413e+08 1.3967842736927584e+08 1.4433593553683293e+08 1.5271128698965478e+08 1.6701047118955564e+08 4.3086409328770861e+07 +8.1238412804267135e+00 3.6023083757264924e+08 3.6019585246844536e+08 3.6013688748494899e+08 3.6005988591574514e+08 3.5998344413282925e+08 3.5993639667955917e+08 3.5993152453983998e+08 3.5994704762936151e+08 3.5996073750911659e+08 3.5996777670206916e+08 3.5997032915720165e+08 3.5996821394166368e+08 3.5996023888443822e+08 3.5994544365703034e+08 3.5992297604735005e+08 3.5989167118898261e+08 3.5985016586624342e+08 3.5979696686700732e+08 3.5973034187703097e+08 3.5964819348552310e+08 3.5954803025887424e+08 3.5942676220488209e+08 3.5927958307247514e+08 3.5909810956001776e+08 3.5887602696924621e+08 3.5861066509305638e+08 3.5829559241068250e+08 3.5792191694004077e+08 3.5747930250865334e+08 3.5695561005807900e+08 3.5633656861631203e+08 3.5560540283302569e+08 3.5474242211912274e+08 3.5372457319235814e+08 3.5252498025115454e+08 3.5111242802782035e+08 3.4945092514999771e+08 3.4749933749722356e+08 3.4521128229488534e+08 3.4253530554035795e+08 3.3916399649178994e+08 3.3520813189394015e+08 3.3059587991754413e+08 3.2526199789403445e+08 3.1915615094579065e+08 3.1225309501062858e+08 3.0456356958506590e+08 2.9614378305875009e+08 2.8710099038819134e+08 2.7759041449604487e+08 2.6780439237930569e+08 2.5796174897830248e+08 2.4828703795864570e+08 2.3897003436499500e+08 2.3016184457763603e+08 2.2197135854771596e+08 2.1445663217820472e+08 2.0763698181744555e+08 2.0149833175776878e+08 1.9601331963571155e+08 1.9113515757740951e+08 1.8682132808715212e+08 1.8301898362308371e+08 1.7968999215096802e+08 1.7678802811007327e+08 1.7427242687966892e+08 1.7211183033272153e+08 1.7026913359131902e+08 1.6870798515051618e+08 1.6740270585961786e+08 1.6631859000269070e+08 1.6543278464870116e+08 1.6471726391551438e+08 1.6414920486544776e+08 1.6369613530080301e+08 1.6332569341887110e+08 1.6301551466905248e+08 1.6274333794240126e+08 1.6248570978130525e+08 1.6230314088205573e+08 1.6211871329205751e+08 1.6193049632224730e+08 1.6173334418139321e+08 1.6152995745348549e+08 1.6131433952768695e+08 1.6109450917998272e+08 1.6084974081037629e+08 1.6058778866773579e+08 1.6030383304590863e+08 1.5999411037341020e+08 1.5965404724818894e+08 1.5927849164786565e+08 1.5885988942268789e+08 1.5839990339722350e+08 1.5787999994711211e+08 1.5729710099146208e+08 1.5664274911916178e+08 1.5590784275881755e+08 1.5508299588266438e+08 1.5415879385649011e+08 1.5312467805439624e+08 1.5198284281719625e+08 1.5071219494159353e+08 1.4931757427591866e+08 1.4780220676343003e+08 1.4617797813087380e+08 1.4446511115609068e+08 1.4270209770350051e+08 1.4094608153903633e+08 1.3929160552405149e+08 1.3785559331819427e+08 1.3682322247217795e+08 1.3645169875256228e+08 1.3711528745486200e+08 1.3935816514827099e+08 1.4400499424439934e+08 1.5236114264389133e+08 1.6662753953965050e+08 4.2951565610976875e+07 +8.1288096032009722e+00 3.5975272080115187e+08 3.5971777849498826e+08 3.5965888740804666e+08 3.5958197872249758e+08 3.5950562093426877e+08 3.5945860895628238e+08 3.5945370701829284e+08 3.5946916466865522e+08 3.5948278183817381e+08 3.5948974515162766e+08 3.5949221318359232e+08 3.5949000275518423e+08 3.5948192033498240e+08 3.5946700337903339e+08 3.5944439680563384e+08 3.5941293259241349e+08 3.5937124369160295e+08 3.5931783210894161e+08 3.5925095985984921e+08 3.5916852300534344e+08 3.5906802253537822e+08 3.5894635975009918e+08 3.5879871799411416e+08 3.5861669650173265e+08 3.5839395276830417e+08 3.5812780028848588e+08 3.5781179937904698e+08 3.5743704178259683e+08 3.5699316939955419e+08 3.5646801851187360e+08 3.5584729143821341e+08 3.5511418456227636e+08 3.5424897822493118e+08 3.5322859043062121e+08 3.5202611870276409e+08 3.5061032560683978e+08 3.4894520538384962e+08 3.4698962165959799e+08 3.4469720693711531e+08 3.4201654664306563e+08 3.3863992586117309e+08 3.3467859661513931e+08 3.3006092753146881e+08 3.2472194358680153e+08 3.1861164219587123e+08 3.1170516155285519e+08 3.0401364335055566e+08 2.9559367271834350e+08 2.8655279966752398e+08 2.7704640866519773e+08 2.6726682843603858e+08 2.5743267611599150e+08 2.4776811932504329e+08 2.3846246992708224e+08 2.2966633026253936e+08 2.2148810120918661e+08 2.1398543327975318e+08 2.0717733217234391e+08 2.0104951937636474e+08 1.9557450008799940e+08 1.9070544277015242e+08 1.8639981142637470e+08 1.8260479588066831e+08 1.7928228745099083e+08 1.7638602192240292e+08 1.7387539454295290e+08 1.7171909251131809e+08 1.6988007827351293e+08 1.6832206861896485e+08 1.6701943012398407e+08 1.6593752774598390e+08 1.6505354890620196e+08 1.6433952263011909e+08 1.6377266736534008e+08 1.6332057443257922e+08 1.6295094735899845e+08 1.6264146220720562e+08 1.6236990121839553e+08 1.6211286087119156e+08 1.6193071014358121e+08 1.6174670550424162e+08 1.6155892039969090e+08 1.6136222070988399e+08 1.6115930076592538e+08 1.6094417807471097e+08 1.6072485113409013e+08 1.6048064451516518e+08 1.6021929355342537e+08 1.5993598960200414e+08 1.5962697772563103e+08 1.5928769501658210e+08 1.5891300127424869e+08 1.5849536005444047e+08 1.5803642852382469e+08 1.5751771816011781e+08 1.5693615684292477e+08 1.5628330656773907e+08 1.5555008664855105e+08 1.5472713259485126e+08 1.5380505137634653e+08 1.5277330895291489e+08 1.5163409285847458e+08 1.5036636076904550e+08 1.4897494036470357e+08 1.4746305018642628e+08 1.4584254868725240e+08 1.4413361224051058e+08 1.4237464438518441e+08 1.4062265809020585e+08 1.3897197764543539e+08 1.3753926068568227e+08 1.3650925886349577e+08 1.3613858806361699e+08 1.3680065413406456e+08 1.3903838509382078e+08 1.4367455119679049e+08 1.5201152545185789e+08 1.6624518441239524e+08 4.2817096171461307e+07 +8.1337779259752310e+00 3.5927420163250327e+08 3.5923930332137400e+08 3.5918048329234415e+08 3.5910366782614875e+08 3.5902739420525098e+08 3.5898041786611897e+08 3.5897548623323488e+08 3.5899087856652546e+08 3.5900442318290669e+08 3.5901131081543523e+08 3.5901369467757487e+08 3.5901138934965897e+08 3.5900319994781852e+08 3.5898816172682768e+08 3.5896541674960530e+08 3.5893379385385007e+08 3.5889192217832851e+08 3.5883829897092462e+08 3.5877118060441840e+08 3.5868845664384550e+08 3.5858762054017812e+08 3.5846556493139833e+08 3.5831746281829959e+08 3.5813489607251251e+08 3.5791149450897592e+08 3.5764455539377511e+08 3.5732763094749790e+08 3.5695179674360597e+08 3.5650667289102179e+08 3.5598007116946530e+08 3.5535766736921197e+08 3.5462262981332821e+08 3.5375521000626791e+08 3.5273229749899936e+08 3.5152696343129319e+08 3.5010794851824629e+08 3.4843923295532167e+08 3.4647967846985584e+08 3.4418293320211470e+08 3.4149762234906876e+08 3.3811573007116026e+08 3.3414898162985396e+08 3.2952594617151421e+08 3.2418191610753149e+08 3.1806722056757325e+08 3.1115737898366857e+08 3.0346393375280178e+08 2.9504384481978077e+08 2.8600495503638238e+08 2.7650280814230514e+08 2.6672972254907033e+08 2.5690410610471880e+08 2.4724973965991974e+08 2.3795547189115441e+08 2.2917140177608526e+08 2.2100544227865350e+08 2.1351483988159832e+08 2.0671829099568623e+08 2.0060131550632653e+08 1.9513628717904127e+08 1.9027633154804012e+08 1.8597889468569413e+08 1.8219120413348728e+08 1.7887517484891045e+08 1.7598460410235086e+08 1.7347894709672761e+08 1.7132693642941433e+08 1.6949160186584011e+08 1.6793672846834204e+08 1.6663672854170886e+08 1.6555703765863013e+08 1.6467488359383669e+08 1.6396235024605030e+08 1.6339669744103742e+08 1.6294557997615442e+08 1.6257676665483263e+08 1.6226797414380842e+08 1.6199702800674304e+08 1.6174057460281023e+08 1.6155884141977543e+08 1.6137525909396905e+08 1.6118790520313126e+08 1.6099165728117689e+08 1.6078920341653252e+08 1.6057457521023202e+08 1.6035575092190257e+08 1.6011210520561516e+08 1.5985135451712888e+08 1.5956870125238815e+08 1.5926039909909877e+08 1.5892189562799534e+08 1.5854806244272926e+08 1.5813138077576694e+08 1.5767350215360293e+08 1.5715598307552910e+08 1.5657575737775257e+08 1.5592440643349499e+08 1.5519287040994504e+08 1.5437180632208532e+08 1.5345184271032381e+08 1.5242247008199221e+08 1.5128586918253428e+08 1.5002104847895604e+08 1.4863282350615883e+08 1.4712440541419810e+08 1.4550762542356288e+08 1.4380261357325011e+08 1.4204768520979017e+08 1.4029972270110261e+08 1.3865283210310215e+08 1.3722340541638988e+08 1.3619576904263276e+08 1.3582594987358069e+08 1.3648649560941622e+08 1.3871908760261402e+08 1.4334460680374551e+08 1.5166243584721616e+08 1.6586340628206941e+08 4.2683000194768481e+07 +8.1387462487494897e+00 3.5879528153354794e+08 3.5876042750539213e+08 3.5870168085508329e+08 3.5862495831784606e+08 3.5854876903822744e+08 3.5850182850390333e+08 3.5849686727972335e+08 3.5851219441757572e+08 3.5852566663779777e+08 3.5853247878860086e+08 3.5853477873375088e+08 3.5853237882008010e+08 3.5852408281693536e+08 3.5850892379471964e+08 3.5848604097331858e+08 3.5845426006636763e+08 3.5841220641925943e+08 3.5835837254501879e+08 3.5829100920166266e+08 3.5820799949021035e+08 3.5810682936096060e+08 3.5798438283464164e+08 3.5783582262770706e+08 3.5765271335288477e+08 3.5742865726807278e+08 3.5716093548154813e+08 3.5684309218272346e+08 3.5646618688287127e+08 3.5601981803517908e+08 3.5549177307381636e+08 3.5486770144081718e+08 3.5413074360452759e+08 3.5326112246461940e+08 3.5223569938012779e+08 3.5102751939543378e+08 3.4960530169174236e+08 3.4793301275860411e+08 3.4596951278050435e+08 3.4366846589118540e+08 3.4097853739766610e+08 3.3759141377893251e+08 3.3361929149553025e+08 3.2899094027456909e+08 3.2364191974754089e+08 3.1752289017912042e+08 3.1060975121995115e+08 3.0291444447764808e+08 2.9449430279262322e+08 2.8545745964698923e+08 2.7595961578949761e+08 2.6619307728679594e+08 2.5637604122632059e+08 2.4673190097544336e+08 2.3744904202298108e+08 2.2867706066686097e+08 2.2052338311737016e+08 2.1304485318594694e+08 2.0625985935713428e+08 2.0015372110723120e+08 1.9469868177753145e+08 1.8984782470442286e+08 1.8555857859587559e+08 1.8177820906066379e+08 1.7846865498027959e+08 1.7558377524917758e+08 1.7308308511007249e+08 1.7093536263109392e+08 1.6910370489158931e+08 1.6755196520488858e+08 1.6625460160521898e+08 1.6517712022229704e+08 1.6429678918518770e+08 1.6358574723082575e+08 1.6302129555548927e+08 1.6257115239164799e+08 1.6220315176427993e+08 1.6189505093513131e+08 1.6162471876306137e+08 1.6136885143113860e+08 1.6118753516480935e+08 1.6100437451494482e+08 1.6081745118569833e+08 1.6062165434807253e+08 1.6041966585731944e+08 1.6020553138580075e+08 1.5998720899450558e+08 1.5974412333189407e+08 1.5948397200826398e+08 1.5920196844551656e+08 1.5889437494147447e+08 1.5855664952923110e+08 1.5818367559900481e+08 1.5776795203149194e+08 1.5731112472995967e+08 1.5679479513513234e+08 1.5621590303633660e+08 1.5556604915459788e+08 1.5483619447945544e+08 1.5401701749831846e+08 1.5309916828996977e+08 1.5207216187020722e+08 1.5093817221486598e+08 1.4967625849301904e+08 1.4829122411819437e+08 1.4678627286050069e+08 1.4517320874905455e+08 1.4347211555856428e+08 1.4172122057674289e+08 1.3997727576624966e+08 1.3833416928686306e+08 1.3690802789616305e+08 1.3588275339262688e+08 1.3551378456421748e+08 1.3617281226474071e+08 1.3840027306470266e+08 1.4301516146837026e+08 1.5131387425645706e+08 1.6548220561508873e+08 4.2549276866114624e+07 +8.1437145715237484e+00 3.5831596786944622e+08 3.5828115887060547e+08 3.5822248486190033e+08 3.5814585547814500e+08 3.5806975052916735e+08 3.5802284594624513e+08 3.5801785523702061e+08 3.5803311730067378e+08 3.5804651728178120e+08 3.5805325415083659e+08 3.5805547043176371e+08 3.5805297624573785e+08 3.5804457402183586e+08 3.5802929466154146e+08 3.5800627455542010e+08 3.5797433630818170e+08 3.5793210149143177e+08 3.5787805790747714e+08 3.5781045072702426e+08 3.5772715661818326e+08 3.5762565407005554e+08 3.5750281852990836e+08 3.5735380249039888e+08 3.5717015340673244e+08 3.5694544610575694e+08 3.5667694560737485e+08 3.5635818813541222e+08 3.5598021724505281e+08 3.5553260986825204e+08 3.5500312925187409e+08 3.5437739866894144e+08 3.5363853093787515e+08 3.5276672058593893e+08 3.5173880103961319e+08 3.5052779153691685e+08 3.4910239004060358e+08 3.4742654967214793e+08 3.4545912942680794e+08 3.4315380978825903e+08 3.4045929651044118e+08 3.3706698162454969e+08 3.3308953075211781e+08 3.2845591425920445e+08 3.2310195877898616e+08 3.1697865513023740e+08 3.1006228215876895e+08 3.0236517919293976e+08 2.9394505004844189e+08 2.8491031663367116e+08 2.7541683445134771e+08 2.6565689520063627e+08 2.5584848374678758e+08 2.4621460526816782e+08 2.3694318207468006e+08 2.2818330847009766e+08 2.2004192507359213e+08 2.1257547438312930e+08 2.0580203831495529e+08 1.9970673712794617e+08 1.9426168474167690e+08 1.8941992302281901e+08 1.8513886387852323e+08 1.8136581133163464e+08 1.7806272847167313e+08 1.7518353595349994e+08 1.7268780914348504e+08 1.7054437165181527e+08 1.6871638786537993e+08 1.6716777932670033e+08 1.6587304979910144e+08 1.6479777591096494e+08 1.6391926614601323e+08 1.6320971404413503e+08 1.6264646216389471e+08 1.6219729213142493e+08 1.6183010313746721e+08 1.6152269303026643e+08 1.6125297393538070e+08 1.6099769180307692e+08 1.6081679182509878e+08 1.6063405221324003e+08 1.6044755879294339e+08 1.6025221235560322e+08 1.6005068853289193e+08 1.5983704704543823e+08 1.5961922579498747e+08 1.5937669933655363e+08 1.5911714646884426e+08 1.5883579162277880e+08 1.5852890569309080e+08 1.5819195715976921e+08 1.5781984118144828e+08 1.5740507425855795e+08 1.5694929668870789e+08 1.5643415477350366e+08 1.5585659425134742e+08 1.5520823516230023e+08 1.5448005928606594e+08 1.5366276655036527e+08 1.5274702853950381e+08 1.5172238473906717e+08 1.5059100237349597e+08 1.4933199122598886e+08 1.4795014261166656e+08 1.4644865293194485e+08 1.4483929906590575e+08 1.4314211859415448e+08 1.4139525087868008e+08 1.3965531767345038e+08 1.3801598957996935e+08 1.3659312850427565e+08 1.3557021228985372e+08 1.3520209251114073e+08 1.3585960447732824e+08 1.3808194186354539e+08 1.4268621558686987e+08 1.5096584109880692e+08 1.6510158286996844e+08 4.2415925371393614e+07 +8.1486828942980072e+00 3.5783626487188733e+08 3.5780149993895537e+08 3.5774290056901819e+08 3.5766636440890825e+08 3.5759034376756346e+08 3.5754347525368059e+08 3.5753845516837811e+08 3.5755365227884632e+08 3.5756698017843747e+08 3.5757364196547729e+08 3.5757577483544230e+08 3.5757318669002962e+08 3.5756467862618953e+08 3.5754927939089888e+08 3.5752612255853075e+08 3.5749402764166903e+08 3.5745161245632952e+08 3.5739736011914235e+08 3.5732951023964006e+08 3.5724593308625752e+08 3.5714409972366530e+08 3.5702087707141656e+08 3.5687140745803916e+08 3.5668722128335571e+08 3.5646186606741017e+08 3.5619259081200057e+08 3.5587292384000754e+08 3.5549389285778052e+08 3.5504505341063970e+08 3.5451414471417713e+08 3.5388676405260420e+08 3.5314599679900539e+08 3.5227200933926064e+08 3.5124160742659450e+08 3.5002778478089756e+08 3.4859921846059740e+08 3.4691984855685186e+08 3.4494853322762477e+08 3.4263896965993237e+08 3.3993990439117706e+08 3.3654243822949636e+08 3.3255970392094958e+08 3.2792087252469140e+08 3.2256203745613235e+08 3.1643451950139564e+08 3.0951497567979378e+08 3.0181614154776317e+08 2.9339608997978371e+08 2.8436352911270028e+08 2.7487446695467377e+08 2.6512117882520148e+08 2.5532143591559765e+08 2.4569785451961371e+08 2.3643789378322282e+08 2.2769014670728961e+08 2.1956106948280814e+08 2.1210670465144807e+08 2.0534482891591197e+08 1.9926036450656196e+08 1.9382529691977280e+08 1.8899262727694365e+08 1.8471975124529618e+08 1.8095401160716170e+08 1.7765739594075966e+08 1.7478388679731011e+08 1.7229311974916711e+08 1.7015396401869893e+08 1.6832965129452452e+08 1.6678417132365021e+08 1.6549207359990436e+08 1.6441900519066674e+08 1.6354231493412390e+08 1.6283425113771090e+08 1.6227219771401772e+08 1.6182399963963869e+08 1.6145762121723521e+08 1.6115090087060809e+08 1.6088179396378487e+08 1.6062709615828812e+08 1.6044661183978125e+08 1.6026429262724498e+08 1.6007822846290925e+08 1.5988333174117514e+08 1.5968227187995145e+08 1.5946912262528634e+08 1.5925180175901830e+08 1.5900983365477231e+08 1.5875087833297211e+08 1.5847017121744096e+08 1.5816399178653520e+08 1.5782781895126045e+08 1.5745655962075400e+08 1.5704274788680455e+08 1.5658801845822090e+08 1.5607406241751844e+08 1.5549783144820866e+08 1.5485096488005993e+08 1.5412446525137907e+08 1.5330905389758241e+08 1.5239542387577620e+08 1.5137313910257700e+08 1.5024436006960770e+08 1.4898824708546415e+08 1.4760957939032099e+08 1.4611154602823129e+08 1.4450589676939809e+08 1.4281262307053176e+08 1.4106977650147715e+08 1.3933384880392992e+08 1.3769829335923302e+08 1.3627870761352450e+08 1.3525814610431957e+08 1.3489087408330515e+08 1.3554687261794227e+08 1.3776409437613255e+08 1.4235776954884705e+08 1.5061833678629944e+08 1.6472153849724430e+08 4.2282944897183046e+07 +8.1536512170722659e+00 3.5735617665982294e+08 3.5732145905781829e+08 3.5726293385590392e+08 3.5718648993368822e+08 3.5711055381558889e+08 3.5706372146790028e+08 3.5705867212202322e+08 3.5707380440023786e+08 3.5708706037589455e+08 3.5709364728125972e+08 3.5709569699269497e+08 3.5709301520135546e+08 3.5708440167743522e+08 3.5706888302983660e+08 3.5704559002957433e+08 3.5701333911301404e+08 3.5697074436018550e+08 3.5691628422461587e+08 3.5684819278374356e+08 3.5676433393641293e+08 3.5666217136272877e+08 3.5653856349810588e+08 3.5638864256678230e+08 3.5620392201552993e+08 3.5597792218212169e+08 3.5570787611954033e+08 3.5538730431579387e+08 3.5500721873367691e+08 3.5455715366695058e+08 3.5402482445582581e+08 3.5339580257539982e+08 3.5265314615730304e+08 3.5177699367722785e+08 3.5074412347463965e+08 3.4952750403665572e+08 3.4809579183189231e+08 3.4641291425713742e+08 3.4443772898428619e+08 3.4212395025621086e+08 3.3942036572661382e+08 3.3601778819784456e+08 3.3202981550603592e+08 3.2738581945406538e+08 3.2202216001448184e+08 3.1589048735532331e+08 3.0896783564393085e+08 3.0126733517279416e+08 2.9284742596189457e+08 2.8381710018288291e+08 2.7433251610934663e+08 2.6458593067876637e+08 2.5479489996662393e+08 2.4518165069629073e+08 2.3593317887195313e+08 2.2719757688673329e+08 2.1908081766816595e+08 2.1163854515718469e+08 2.0488823219591841e+08 1.9881460417038256e+08 1.9338951914949542e+08 1.8856593823060203e+08 1.8430124139887169e+08 1.8054281053875992e+08 1.7725265799660340e+08 1.7438482835399023e+08 1.7189901747066128e+08 1.6976414025099236e+08 1.6794349567710716e+08 1.6640114167781967e+08 1.6511167347638699e+08 1.6404080851939678e+08 1.6316593599949583e+08 1.6245935895569110e+08 1.6189850264541769e+08 1.6145127535361475e+08 1.6108570643847516e+08 1.6077967488948345e+08 1.6051117928089449e+08 1.6025706492852688e+08 1.6007699564009210e+08 1.5989509618805009e+08 1.5970946062586105e+08 1.5951501293462676e+08 1.5931441632795435e+08 1.5910175855422240e+08 1.5888493731487283e+08 1.5864352671399307e+08 1.5838516802762529e+08 1.5810510765561476e+08 1.5779963364707342e+08 1.5746423532816702e+08 1.5709383134029165e+08 1.5668097333837759e+08 1.5622729045952079e+08 1.5571451848673823e+08 1.5513961504508460e+08 1.5449423872417682e+08 1.5376941278986356e+08 1.5295587995228198e+08 1.5204435470863649e+08 1.5102442536770982e+08 1.4989824570711884e+08 1.4864502647203708e+08 1.4726953485111055e+08 1.4577495254231116e+08 1.4417300224818337e+08 1.4248362937172297e+08 1.4074479782452229e+08 1.3901286953225031e+08 1.3738108099481490e+08 1.3596476559032094e+08 1.3494655519975209e+08 1.3458012964342576e+08 1.3523461705115929e+08 1.3744673097271639e+08 1.4202982373690766e+08 1.5027136172396389e+08 1.6434207293966573e+08 4.2150334630750075e+07 +8.1586195398465247e+00 3.5687571215501285e+08 3.5684103684858477e+08 3.5678258784055513e+08 3.5670623688923132e+08 3.5663038569890583e+08 3.5658358961627698e+08 3.5657851113024408e+08 3.5659357869660389e+08 3.5660676290623879e+08 3.5661327513062608e+08 3.5661524193627965e+08 3.5661246681177425e+08 3.5660374820821583e+08 3.5658811061127311e+08 3.5656468200069714e+08 3.5653227575367033e+08 3.5648950223334211e+08 3.5643483525367308e+08 3.5636650338729674e+08 3.5628236419590837e+08 3.5617987401206535e+08 3.5605588283281708e+08 3.5590551283714104e+08 3.5572026062058949e+08 3.5549361946329594e+08 3.5522280653891039e+08 3.5490133456595778e+08 3.5452019986902547e+08 3.5406891562504166e+08 3.5353517345559973e+08 3.5290451920469451e+08 3.5215998396673560e+08 3.5128167853722262e+08 3.5024635409992713e+08 3.4902695419601816e+08 3.4759211501710910e+08 3.4590575160036165e+08 3.4392672148105085e+08 3.4160875630864072e+08 3.3890068518559295e+08 3.3549303611703593e+08 3.3149986999342000e+08 3.2685075941040027e+08 3.2148233067206645e+08 3.1534656273640221e+08 3.0842086589334756e+08 3.0071876368028957e+08 2.9229906135152817e+08 2.8327103292467493e+08 2.7379098470787764e+08 2.6405115326276523e+08 2.5426887811800101e+08 2.4466599574956709e+08 2.3542903905006132e+08 2.2670560050327113e+08 2.1860117093998072e+08 2.1117099705486631e+08 2.0443224917912301e+08 1.9836945703603962e+08 1.9295435225877041e+08 1.8813985663787341e+08 1.8388333503236637e+08 1.8013220876892403e+08 1.7684851523913625e+08 1.7398636118818283e+08 1.7150550284331718e+08 1.6937490085931244e+08 1.6755792150402322e+08 1.6601869086338800e+08 1.6473184988921916e+08 1.6366318634747159e+08 1.6279012978452438e+08 1.6208503793440694e+08 1.6152537739048389e+08 1.6107911970243004e+08 1.6071435922834766e+08 1.6040901551310822e+08 1.6014113031194451e+08 1.5988759853798679e+08 1.5970794364991271e+08 1.5952646331869388e+08 1.5934125570468077e+08 1.5914725635810602e+08 1.5894712229853517e+08 1.5873495525345483e+08 1.5851863288300464e+08 1.5827777893405578e+08 1.5802001597189733e+08 1.5774060135590816e+08 1.5743583169259360e+08 1.5710120670710313e+08 1.5673165675603592e+08 1.5631975102805364e+08 1.5586711310604155e+08 1.5535552339347026e+08 1.5478194545257401e+08 1.5413805710376388e+08 1.5341490230848086e+08 1.5260324511910442e+08 1.5169382144041476e+08 1.5067624393429166e+08 1.4955265968264312e+08 1.4830232977904451e+08 1.4693000938384622e+08 1.4543887285996294e+08 1.4384061588382110e+08 1.4215513787486747e+08 1.4042031522030166e+08 1.3869238022647148e+08 1.3706435285036871e+08 1.3565130279460365e+08 1.3463543993330142e+08 1.3426985954771674e+08 1.3492283813484657e+08 1.3712985201719329e+08 1.4170237852706933e+08 1.4992491630956075e+08 1.6396318663256985e+08 4.2018093760057211e+07 +8.1635878626207834e+00 3.5639487644876194e+08 3.5636024457517856e+08 3.5630186807473296e+08 3.5622561022632796e+08 3.5614984440752351e+08 3.5610308470862859e+08 3.5609797721040314e+08 3.5611298018502444e+08 3.5612609278621554e+08 3.5613253053113222e+08 3.5613441468308449e+08 3.5613154653870708e+08 3.5612272323543102e+08 3.5610696715094978e+08 3.5608340348763210e+08 3.5605084257897574e+08 3.5600789109014136e+08 3.5595301821986187e+08 3.5588444706291384e+08 3.5580002887574053e+08 3.5569721268132275e+08 3.5557284008271807e+08 3.5542202327373219e+08 3.5523624210004038e+08 3.5500896290839106e+08 3.5473738706287533e+08 3.5441501957748806e+08 3.5403284124462914e+08 3.5358034425808883e+08 3.5304519667582166e+08 3.5241291889105552e+08 3.5166651516380131e+08 3.5078606883898216e+08 3.4974830420238113e+08 3.4852614013516474e+08 3.4708819286260223e+08 3.4539836539727372e+08 3.4341551548535645e+08 3.4109339253257620e+08 3.3838086742037755e+08 3.3496818655533695e+08 3.3096987185087490e+08 3.2631569673984367e+08 3.2094255362776506e+08 3.1480274967008013e+08 3.0787407025188988e+08 3.0017043066391349e+08 2.9175099948714554e+08 2.8272533040166938e+08 2.7324987552549398e+08 2.6351684906178471e+08 2.5374337257160985e+08 2.4415089161585420e+08 2.3492547601177895e+08 2.2621421903838652e+08 2.1812213059629238e+08 2.1070406148737487e+08 2.0397688087892765e+08 1.9792492400985605e+08 1.9251979706511101e+08 1.8771438324330562e+08 1.8346603282963023e+08 1.7972220693074483e+08 1.7644496825964874e+08 1.7358848585607371e+08 1.7111257639408845e+08 1.6898624634625217e+08 1.6717292925755197e+08 1.6563681934626788e+08 1.6435260329125887e+08 1.6328613911753908e+08 1.6241489672377333e+08 1.6171128850262272e+08 1.6115282237360311e+08 1.6070753310763380e+08 1.6034358000677952e+08 1.6003892315977255e+08 1.5977164747436172e+08 1.5951869740364131e+08 1.5933945628546816e+08 1.5915839443497849e+08 1.5897361411464202e+08 1.5878006242664939e+08 1.5858039020599252e+08 1.5836871313646406e+08 1.5815288887664893e+08 1.5791259072747245e+08 1.5765542257779965e+08 1.5737665272941434e+08 1.5707258633316326e+08 1.5673873349770850e+08 1.5637003627621567e+08 1.5595908136329660e+08 1.5550748680417883e+08 1.5499707754249716e+08 1.5442482307402939e+08 1.5378242042043412e+08 1.5306093420708072e+08 1.5225114979594821e+08 1.5134382446657532e+08 1.5032859519507885e+08 1.4920760238619611e+08 1.4796015739313442e+08 1.4659100337140349e+08 1.4510330736035347e+08 1.4350873805125046e+08 1.4182714895039096e+08 1.4009632905487162e+08 1.3837238124807206e+08 1.3674810928299606e+08 1.3533831957981396e+08 1.3432480065594471e+08 1.3396006414616346e+08 1.3461153622061771e+08 1.3681345786703622e+08 1.4137543428867975e+08 1.4957900093378589e+08 1.6358488000281587e+08 4.1886221473768100e+07 +8.1685561853950421e+00 3.5591366981747931e+08 3.5587908107794183e+08 3.5582077889594662e+08 3.5574461504323447e+08 3.5566893490438598e+08 3.5562221173970824e+08 3.5561707536373746e+08 3.5563201386645782e+08 3.5564505501700020e+08 3.5565141848419845e+08 3.5565322023466355e+08 3.5565025938304442e+08 3.5564133175975251e+08 3.5562545764968544e+08 3.5560175949053758e+08 3.5556904458876073e+08 3.5552591593008018e+08 3.5547083812141204e+08 3.5540202880784339e+08 3.5531733297120678e+08 3.5521419236425835e+08 3.5508944023937297e+08 3.5493817886551875e+08 3.5475187143996751e+08 3.5452395749952471e+08 3.5425162266916358e+08 3.5392836432211226e+08 3.5354514782475209e+08 3.5309144452160424e+08 3.5255489906369120e+08 3.5192100657016271e+08 3.5117274466983491e+08 3.5029016948723000e+08 3.4924997866632164e+08 3.4802506671298975e+08 3.4658403019809133e+08 3.4489076044129133e+08 3.4290411574741805e+08 3.4057786362591505e+08 3.3786091706455046e+08 3.3444324406393415e+08 3.3043982552872449e+08 3.2578063576999080e+08 3.2040283306246674e+08 3.1425905216366422e+08 3.0732745252499175e+08 2.9962233969974369e+08 2.9120324368911278e+08 2.8217999565851068e+08 2.7270919131995600e+08 2.6298302054410860e+08 2.5321838551402736e+08 2.4363634021651083e+08 2.3442249143799794e+08 2.2572343396025753e+08 2.1764369792210543e+08 2.1023773958530560e+08 2.0352212829742318e+08 1.9748100598713732e+08 1.9208585437574482e+08 1.8728951878156480e+08 1.8304933546491197e+08 1.7931280564862370e+08 1.7604201764096981e+08 1.7319120290547284e+08 1.7072023864144138e+08 1.6859817720625639e+08 1.6678851941227174e+08 1.6525552758477905e+08 1.6397393412750444e+08 1.6290966726433954e+08 1.6204023724413234e+08 1.6133811108132610e+08 1.6078083801166815e+08 1.6033651598339260e+08 1.5997336918560842e+08 1.5966939824039170e+08 1.5940273117803678e+08 1.5915036193448827e+08 1.5897153395552823e+08 1.5879088994527552e+08 1.5860653626340374e+08 1.5841343154734161e+08 1.5821422045712370e+08 1.5800303260979193e+08 1.5778770570145345e+08 1.5754796249936855e+08 1.5729138824976107e+08 1.5701326217966783e+08 1.5670989797181344e+08 1.5637681610191408e+08 1.5600897030213392e+08 1.5559896474413174e+08 1.5514841195265967e+08 1.5463918133146420e+08 1.5406824830564007e+08 1.5342732906869954e+08 1.5270750887825045e+08 1.5189959437329197e+08 1.5099436417539406e+08 1.4998147953563839e+08 1.4886307420025307e+08 1.4761850969365945e+08 1.4625251718986136e+08 1.4476825641549131e+08 1.4317736911836356e+08 1.4149966296219787e+08 1.3977283968745789e+08 1.3805287295195374e+08 1.3643235064349851e+08 1.3502581629318631e+08 1.3401463771213453e+08 1.3365074378228857e+08 1.3430071165396497e+08 1.3649754887302074e+08 1.4104899138426834e+08 1.4923361598036405e+08 1.6320715347030979e+08 4.1754716961253375e+07 +8.1735245081693009e+00 3.5543209993130279e+08 3.5539755513185859e+08 3.5533932724282056e+08 3.5526325661195397e+08 3.5518766213701212e+08 3.5514097568911165e+08 3.5513581057662350e+08 3.5515068472619992e+08 3.5516365458409721e+08 3.5516994397601312e+08 3.5517166357692128e+08 3.5516861033068770e+08 3.5515957876724529e+08 3.5514358709325784e+08 3.5511975499442095e+08 3.5508688676725048e+08 3.5504358173621225e+08 3.5498829994082862e+08 3.5491925360295337e+08 3.5483428146264488e+08 3.5473081803861552e+08 3.5460568827909565e+08 3.5445398458602941e+08 3.5426715360998660e+08 3.5403860820277643e+08 3.5376551831861424e+08 3.5344137375519848e+08 3.5305712455870122e+08 3.5260222135701263e+08 3.5206428554984146e+08 3.5142878716056758e+08 3.5067867738966584e+08 3.4979398536921382e+08 3.4875138235872906e+08 3.4752373877253497e+08 3.4607963183628780e+08 3.4438294150939584e+08 3.4239252700072879e+08 3.4006217426904947e+08 3.3734083873547888e+08 3.3391821317666060e+08 3.2990973545890135e+08 3.2524558081068838e+08 3.1986317313877583e+08 3.1371547420657718e+08 3.0678101649967712e+08 2.9907449434498656e+08 2.9065579725977898e+08 2.8163503172325987e+08 2.7216893483215451e+08 2.6244967016170883e+08 2.5269391911554867e+08 2.4312234345800203e+08 2.3392008699541876e+08 2.2523324672387677e+08 2.1716587419062075e+08 2.0977203246790743e+08 2.0306799242566532e+08 1.9703770385293439e+08 1.9165252498839229e+08 1.8686526397773290e+08 1.8263324360345793e+08 1.7890400553794062e+08 1.7563966395659891e+08 1.7279451287532926e+08 1.7032849009577248e+08 1.6821069392559475e+08 1.6640469243460190e+08 1.6487481602906370e+08 1.6359584283545601e+08 1.6253377121491113e+08 1.6166615176491013e+08 1.6096550608396223e+08 1.6040942471404773e+08 1.5996606873599651e+08 1.5960372716967770e+08 1.5930044115821829e+08 1.5903438182532129e+08 1.5878259253238735e+08 1.5860417706116822e+08 1.5842395025018603e+08 1.5824002255143034e+08 1.5804736412003055e+08 1.5784861345114732e+08 1.5763791407196718e+08 1.5742308375553685e+08 1.5718389464727685e+08 1.5692791338441342e+08 1.5665043010310724e+08 1.5634776700400388e+08 1.5601545491441834e+08 1.5564845922755229e+08 1.5523940156313145e+08 1.5478988894314998e+08 1.5428183515058085e+08 1.5371222153611052e+08 1.5307278343576366e+08 1.5235462670747811e+08 1.5154857923453009e+08 1.5064544094776195e+08 1.4963489733448437e+08 1.4851907550072610e+08 1.4727738705327767e+08 1.4591455120824462e+08 1.4443372039086869e+08 1.4284650944677490e+08 1.4117268026741719e+08 1.3944984747098354e+08 1.3773385568656451e+08 1.3611707727632198e+08 1.3471379327546424e+08 1.3370495144010483e+08 1.3334189879354326e+08 1.3399036477360554e+08 1.3618212537973133e+08 1.4072305016990155e+08 1.4888876182608080e+08 1.6283000744686791e+08 4.1623579412596174e+07 +8.1784928309435596e+00 3.5495017020409298e+08 3.5491567040638632e+08 3.5485751777704096e+08 3.5478154017018199e+08 3.5470603104965794e+08 3.5465938152307343e+08 3.5465418781958586e+08 3.5466899773412102e+08 3.5468189645725906e+08 3.5468811197703457e+08 3.5468974968023932e+08 3.5468660435141438e+08 3.5467746922791380e+08 3.5466136045099038e+08 3.5463739496850336e+08 3.5460437408325058e+08 3.5456089347667140e+08 3.5450540864501506e+08 3.5443612641448218e+08 3.5435087931383270e+08 3.5424709466722578e+08 3.5412158916206300e+08 3.5396944539294690e+08 3.5378209356472653e+08 3.5355291996853292e+08 3.5327907895682609e+08 3.5295405281696635e+08 3.5256877637891418e+08 3.5211267968856657e+08 3.5157336104887706e+08 3.5093626556529814e+08 3.5018431821167403e+08 3.4929752135677379e+08 3.4825252013075465e+08 3.4702216113963217e+08 3.4557500257361811e+08 3.4387491336183417e+08 3.4188075396143675e+08 3.3954632912524503e+08 3.3682063703225464e+08 3.3339309840965974e+08 3.2937960605621636e+08 3.2471053615332502e+08 3.1932357800155687e+08 3.1317201976911974e+08 3.0623476594501454e+08 2.9852689813869095e+08 2.9010866348373139e+08 2.8109044160577857e+08 2.7162910878598607e+08 2.6191680034957156e+08 2.5216997553114539e+08 2.4260890323198053e+08 2.3341826433642080e+08 2.2474365877096599e+08 2.1668866066199416e+08 2.0930694124272069e+08 2.0261447424364004e+08 1.9659501848165166e+08 1.9121980969026765e+08 1.8644161954744312e+08 1.8221775790143692e+08 1.7849580720533744e+08 1.7523790777195355e+08 1.7239841629673034e+08 1.6993733125921997e+08 1.6782379698245475e+08 1.6602144878320253e+08 1.6449468512165082e+08 1.6321832984440300e+08 1.6215845138863692e+08 1.6129264069761992e+08 1.6059347391642812e+08 1.6003858288244200e+08 1.5959619176469350e+08 1.5923465435608113e+08 1.5893205230916032e+08 1.5866659981127390e+08 1.5841538959149635e+08 1.5823738599613237e+08 1.5805757574320546e+08 1.5787407337134823e+08 1.5768186053713229e+08 1.5748356958010647e+08 1.5727335791454664e+08 1.5705902342980343e+08 1.5682038756153816e+08 1.5656499837186792e+08 1.5628815688855532e+08 1.5598619381798536e+08 1.5565465032266125e+08 1.5528850343869939e+08 1.5488039220608479e+08 1.5443191815984944e+08 1.5392503938291457e+08 1.5335674314722428e+08 1.5271878390165508e+08 1.5200228807288074e+08 1.5119810475598013e+08 1.5029705515778181e+08 1.4928884896326363e+08 1.4817560665609157e+08 1.4693678983772057e+08 1.4557710578887278e+08 1.4409969964500129e+08 1.4251615939097071e+08 1.4084620121647996e+08 1.3912735275157565e+08 1.3741532979390556e+08 1.3580228951923999e+08 1.3440225086111364e+08 1.3339574217186348e+08 1.3303352951090030e+08 1.3368049591235708e+08 1.3586718772531143e+08 1.4039761099499887e+08 1.4854443884047568e+08 1.6245344233665112e+08 4.1492808018597893e+07 +8.1834611537178183e+00 3.5446788877380896e+08 3.5443343318439472e+08 3.5437535432045448e+08 3.5429947062303394e+08 3.5422404659625447e+08 3.5417743419426590e+08 3.5417221204732269e+08 3.5418695784383762e+08 3.5419978559104145e+08 3.5420592744232440e+08 3.5420748349915975e+08 3.5420424639967662e+08 3.5419500809539908e+08 3.5417878267696536e+08 3.5415468436661315e+08 3.5412151148924714e+08 3.5407785610372639e+08 3.5402216918519360e+08 3.5395265219193941e+08 3.5386713147366869e+08 3.5376302719673485e+08 3.5363714783257699e+08 3.5348456622789240e+08 3.5329669624301791e+08 3.5306689773108029e+08 3.5279230951349944e+08 3.5246640643088949e+08 3.5208010820229727e+08 3.5162282442491239e+08 3.5108213045964074e+08 3.5044344667130017e+08 3.4968967200865197e+08 3.4880078230522883e+08 3.4775339681671363e+08 3.4652033862406403e+08 3.4507014718933851e+08 3.4336668074187505e+08 3.4136880132913381e+08 3.3903033284127289e+08 3.3630031653722268e+08 3.3286790426104653e+08 3.2884944171698278e+08 3.2417550607135993e+08 3.1878405177689284e+08 3.1262869280380279e+08 3.0568870461132956e+08 2.9797955460187650e+08 2.8956184562712324e+08 2.8054622829811752e+08 2.7108971588778627e+08 2.6138441352677280e+08 2.5164655689996275e+08 2.4209602141510630e+08 2.3291702509963971e+08 2.2425467153023723e+08 2.1621205858459535e+08 2.0884246700534597e+08 2.0216157471994674e+08 1.9615295073733640e+08 1.9078770925897855e+08 1.8601858619656390e+08 1.8180287900533971e+08 1.7808821124820533e+08 1.7483674964358968e+08 1.7200291369191721e+08 1.6954676262545770e+08 1.6743748684698984e+08 1.6563878890837312e+08 1.6411513529725364e+08 1.6284139557633275e+08 1.6178370819718882e+08 1.6091970444621277e+08 1.6022201497691584e+08 1.5966831291108292e+08 1.5922688546074694e+08 1.5886615113444486e+08 1.5856423208175215e+08 1.5829938552350372e+08 1.5804875349852553e+08 1.5787116114706665e+08 1.5769176681009457e+08 1.5750868910890228e+08 1.5731692118372050e+08 1.5711908922839990e+08 1.5690936452153897e+08 1.5669552510774550e+08 1.5645744162509176e+08 1.5620264359394881e+08 1.5592644291770166e+08 1.5562517879457244e+08 1.5529440270662189e+08 1.5492910331495202e+08 1.5452193705089596e+08 1.5407449997989976e+08 1.5356879440436441e+08 1.5300181351328105e+08 1.5236533083923170e+08 1.5165049334572852e+08 1.5084817130672845e+08 1.4994920717252603e+08 1.4894333478630373e+08 1.4783266802834430e+08 1.4659671840565968e+08 1.4524018128725567e+08 1.4376619452985933e+08 1.4218631929901719e+08 1.4052022615340111e+08 1.3880535586894906e+08 1.3709729560940954e+08 1.3548798770397663e+08 1.3409118937826312e+08 1.3308701023300627e+08 1.3272563625924642e+08 1.3337110539657092e+08 1.3555273624152628e+08 1.4007267420230320e+08 1.4820064738624272e+08 1.6207745853640306e+08 4.1362401970783800e+07 +8.1884294764920771e+00 3.5398525504514426e+08 3.5395084771206290e+08 3.5389284203367949e+08 3.5381705266452354e+08 3.5374171374403930e+08 3.5369513864218771e+08 3.5368988819880778e+08 3.5370456999451786e+08 3.5371732692419827e+08 3.5372339531075001e+08 3.5372486997289449e+08 3.5372154141466242e+08 3.5371220030914867e+08 3.5369585870956451e+08 3.5367162812578905e+08 3.5363830392310250e+08 3.5359447455382228e+08 3.5353858649696016e+08 3.5346883587001216e+08 3.5338304287452024e+08 3.5327862055802673e+08 3.5315236921927643e+08 3.5299935201687175e+08 3.5281096656740701e+08 3.5258054640965593e+08 3.5230521490247148e+08 3.5197843950527942e+08 3.5159112493042886e+08 3.5113266045899510e+08 3.5059059866494483e+08 3.4995033534901661e+08 3.4919474363693374e+08 3.4830377305345005e+08 3.4725401723531747e+08 3.4601827601904154e+08 3.4456507044671375e+08 3.4285824837560773e+08 3.4085667378581452e+08 3.3851419004556066e+08 3.3577988181494325e+08 3.3234263521178973e+08 3.2831924682047343e+08 3.2364049482084280e+08 3.1824459857309133e+08 3.1208549724501097e+08 3.0514283623099864e+08 2.9743246723722380e+08 2.8901534693866253e+08 2.8000239477534449e+08 2.7055075882727897e+08 2.6085251209577870e+08 2.5112366534582391e+08 2.4158369986961600e+08 2.3241637090966189e+08 2.2376628641720530e+08 2.1573606919419223e+08 2.0837861084021890e+08 2.0170929481291491e+08 1.9571150147353378e+08 1.9035622446193156e+08 1.8559616462143216e+08 1.8138860755290064e+08 1.7768121825531220e+08 1.7443619011934257e+08 1.7160800557471210e+08 1.6915678468022776e+08 1.6705176398117322e+08 1.6525671325299555e+08 1.6373616698248214e+08 1.6246504044526923e+08 1.6140954204481405e+08 1.6054734340731940e+08 1.5985112965653706e+08 1.5929861518696427e+08 1.5885815020824710e+08 1.5849821788685983e+08 1.5819698085697260e+08 1.5793273934206656e+08 1.5768268463310909e+08 1.5750550289282888e+08 1.5732652382966846e+08 1.5714387014217857e+08 1.5695254643725926e+08 1.5675517277329016e+08 1.5654593426952165e+08 1.5633258916552520e+08 1.5609505721331072e+08 1.5584084942588088e+08 1.5556528856478888e+08 1.5526472230739352e+08 1.5493471243904811e+08 1.5457025922811282e+08 1.5416403646861666e+08 1.5371763477310294e+08 1.5321310058342531e+08 1.5264743300172904e+08 1.5201242461428872e+08 1.5129924289007446e+08 1.5049877924885359e+08 1.4960189735189909e+08 1.4859835516133729e+08 1.4749025997230041e+08 1.4625717310897514e+08 1.4490377805196196e+08 1.4343320539047015e+08 1.4185698951218021e+08 1.4019475541539672e+08 1.3848385715640673e+08 1.3677975346239528e+08 1.3517417215564492e+08 1.3378060914881356e+08 1.3277875594326478e+08 1.3241821935713118e+08 1.3306219354653655e+08 1.3523877125363243e+08 1.3974824012808675e+08 1.4785738781923425e+08 1.6170205643514708e+08 4.1232360461408518e+07 +8.1933977992663358e+00 3.5350228241480261e+08 3.5346791741665077e+08 3.5340998615740353e+08 3.5333429106793159e+08 3.5325903746865755e+08 3.5321249979423201e+08 3.5320722119688398e+08 3.5322183910887343e+08 3.5323452537984002e+08 3.5324052050635737e+08 3.5324191402524620e+08 3.5323849431914943e+08 3.5322905079207897e+08 3.5321259347196722e+08 3.5318823116934478e+08 3.5315475630637753e+08 3.5311075374804395e+08 3.5305466550052857e+08 3.5298468236749405e+08 3.5289861843444616e+08 3.5279387966670209e+08 3.5266725823607332e+08 3.5251380767074782e+08 3.5232490944501430e+08 3.5209387090707165e+08 3.5181780002229071e+08 3.5149015693234527e+08 3.5110183144809091e+08 3.5064219266745627e+08 3.5009877053122789e+08 3.4945693645299137e+08 3.4869953793640727e+08 3.4780649842442858e+08 3.4675438618811059e+08 3.4551597810125142e+08 3.4405977709200770e+08 3.4234962097287560e+08 3.4034437599699116e+08 3.3799790535032386e+08 3.3525933741268677e+08 3.3181729572548652e+08 3.2778902572671437e+08 3.2310550663880146e+08 3.1770522248036158e+08 3.1154243700842303e+08 3.0459716451793689e+08 2.9688563952923524e+08 2.8846917064909142e+08 2.7945894399483544e+08 2.7001224027729791e+08 2.6032109844275531e+08 2.5060130297650254e+08 2.4107194044260544e+08 2.3191630337738380e+08 2.2327850483430153e+08 2.1526069371423182e+08 2.0791537381974146e+08 2.0125763546932760e+08 1.9527067153345701e+08 1.8992535605670565e+08 1.8517435550913194e+08 1.8097494417250115e+08 1.7727482880654383e+08 1.7403622973870879e+08 1.7121369245097303e+08 1.6876739790105814e+08 1.6666662883935401e+08 1.6487522225172800e+08 1.6335778059666252e+08 1.6208926485770085e+08 1.6103595332798642e+08 1.6017555796981332e+08 1.5948081833825547e+08 1.5892949008926970e+08 1.5848998638393429e+08 1.5813085498830253e+08 1.5783029900840297e+08 1.5756666163962489e+08 1.5731718336723340e+08 1.5714041160504439e+08 1.5696184717285395e+08 1.5677961684184107e+08 1.5658873666823825e+08 1.5639182058467764e+08 1.5618306752811360e+08 1.5597021597200850e+08 1.5573323469460163e+08 1.5547961623528761e+08 1.5520469419689852e+08 1.5490482472267821e+08 1.5457557988555050e+08 1.5421197154291916e+08 1.5380669082301283e+08 1.5336132290215725e+08 1.5285795828172824e+08 1.5229360197265854e+08 1.5166006558551782e+08 1.5094853706281662e+08 1.5014992893760422e+08 1.4925512604883122e+08 1.4825391043897969e+08 1.4714838283602506e+08 1.4591815429282126e+08 1.4456789642499566e+08 1.4310073256528118e+08 1.4152817036524650e+08 1.3986978933329374e+08 1.3816285694056779e+08 1.3646270367544386e+08 1.3486084319324580e+08 1.3347051048843382e+08 1.3247097961561507e+08 1.3211127911698468e+08 1.3275376067608625e+08 1.3492529308102280e+08 1.3942430910206750e+08 1.4751466048829952e+08 1.6132723641435730e+08 4.1102682683461614e+07 +8.1983661220405946e+00 3.5301896792658651e+08 3.5298464780404413e+08 3.5292679226607203e+08 3.5285119073283678e+08 3.5277602273591882e+08 3.5272952256435692e+08 3.5272421594854516e+08 3.5273877009395653e+08 3.5275138586619091e+08 3.5275730793737376e+08 3.5275862056407839e+08 3.5275511002129209e+08 3.5274556445179296e+08 3.5272899187113768e+08 3.5270449840346229e+08 3.5267087354510272e+08 3.5262669859153223e+08 3.5257041109991151e+08 3.5250019658716530e+08 3.5241386305417848e+08 3.5230880942250770e+08 3.5218181977976459e+08 3.5202793808445340e+08 3.5183852976755798e+08 3.5160687611080247e+08 3.5133006975508839e+08 3.5100156358856988e+08 3.5061223262478286e+08 3.5015142591115922e+08 3.4960665090939736e+08 3.4896325482232875e+08 3.4820405973104370e+08 3.4730896322418559e+08 3.4625450846049434e+08 3.4501344963080090e+08 3.4355427185491765e+08 3.4184080322649425e+08 3.3983191261109406e+08 3.3748148335042447e+08 3.3473868786082381e+08 3.3129189024729693e+08 3.2725878278025222e+08 3.2257054574556106e+08 3.1716592757044655e+08 3.1099951599203789e+08 3.0405169316794747e+08 2.9633907494485116e+08 2.8792331997061825e+08 2.7891587889630431e+08 2.6947416289334875e+08 2.5979017493767565e+08 2.5007947188463312e+08 2.4056074496666080e+08 2.3141682409963179e+08 2.2279132817107522e+08 2.1478593335603550e+08 2.0745275700523156e+08 2.0080659762537557e+08 1.9483046175001839e+08 1.8949510479107073e+08 1.8475315953720164e+08 1.8056188948355761e+08 1.7686904347299725e+08 1.7363686903267837e+08 1.7081997481790924e+08 1.6837860275726545e+08 1.6628208186745626e+08 1.6449431633173135e+08 1.6297997655102423e+08 1.6171406921241981e+08 1.6066294243569416e+08 1.5980434851510695e+08 1.5911108139817721e+08 1.5856093798984468e+08 1.5812239435671344e+08 1.5776406280618179e+08 1.5746418690220714e+08 1.5720115278172290e+08 1.5695225006577334e+08 1.5677588764802626e+08 1.5659773720375168e+08 1.5641592957132223e+08 1.5622549223967928e+08 1.5602903302504477e+08 1.5582076465921578e+08 1.5560840588867241e+08 1.5537197443015352e+08 1.5511894438267744e+08 1.5484466017387384e+08 1.5454548639969522e+08 1.5421700540463227e+08 1.5385424061699271e+08 1.5344990047057906e+08 1.5300556472266591e+08 1.5250336785356504e+08 1.5194032077910161e+08 1.5130825410449541e+08 1.5059837621403176e+08 1.4980162072105899e+08 1.4890889360941029e+08 1.4791000096291110e+08 1.4680703696049535e+08 1.4557966229542005e+08 1.4423253674130124e+08 1.4276877638598821e+08 1.4119986218627176e+08 1.3954532823130465e+08 1.3784235554173651e+08 1.3614614656498474e+08 1.3454800112942365e+08 1.3316089370649411e+08 1.3216368155733207e+08 1.3180481584518538e+08 1.3244580709310763e+08 1.3461230203620043e+08 1.3910088144751370e+08 1.4717246573540413e+08 1.6095299884813508e+08 4.0973367830673054e+07 +8.2033344448148533e+00 3.5253532332778919e+08 3.5250104462815005e+08 3.5244326544901818e+08 3.5236775656266689e+08 3.5229267448218393e+08 3.5224621185290581e+08 3.5224087734496140e+08 3.5225536784177285e+08 3.5226791327452993e+08 3.5227376249636453e+08 3.5227499448157686e+08 3.5227139341303200e+08 3.5226174618042403e+08 3.5224505879875845e+08 3.5222043471953028e+08 3.5218666053013933e+08 3.5214231397447509e+08 3.5208582818383831e+08 3.5201538341687858e+08 3.5192878162018067e+08 3.5182341470956379e+08 3.5169605873267561e+08 3.5154174813647693e+08 3.5135183241067946e+08 3.5111956689231205e+08 3.5084202896716440e+08 3.5051266433453703e+08 3.5012233331391567e+08 3.4966036503517830e+08 3.4911424463398314e+08 3.4846929527896535e+08 3.4770831382893354e+08 3.4681117224349928e+08 3.4575438882170349e+08 3.4451069535144913e+08 3.4304855944817609e+08 3.4133179981292188e+08 3.3931928825965631e+08 3.3696492862330478e+08 3.3421793767164737e+08 3.3076642320584434e+08 3.2672852230595988e+08 3.2203561634227902e+08 3.1662671789729393e+08 3.1045673807572961e+08 3.0350642585891199e+08 2.9579277693241501e+08 2.8737779809885907e+08 2.7837320240255004e+08 2.6893652931406647e+08 2.5925974393419671e+08 2.4955817414739919e+08 2.4005011526000747e+08 2.3091793465958348e+08 2.2230475780393228e+08 2.1431178931865624e+08 2.0699076144607219e+08 2.0035618220646384e+08 1.9439087294589493e+08 1.8906547140315136e+08 1.8433257737368807e+08 1.8014944409645751e+08 1.7646386281705153e+08 1.7323810852351293e+08 1.7042685316464478e+08 1.6799039971020952e+08 1.6589812350390148e+08 1.6411399591238028e+08 1.6260275524932212e+08 1.6133945390062508e+08 1.6029050974939677e+08 1.5943371541724485e+08 1.5874191920474315e+08 1.5819295925337648e+08 1.5775537448883349e+08 1.5739784170058715e+08 1.5709864489751676e+08 1.5683621312656194e+08 1.5658788508593959e+08 1.5641193137886047e+08 1.5623419427888441e+08 1.5605280868692312e+08 1.5586281350739715e+08 1.5566681044973662e+08 1.5545902601775134e+08 1.5524715926995564e+08 1.5501127677362531e+08 1.5475883422112775e+08 1.5448518684827489e+08 1.5418670769031242e+08 1.5385898934734726e+08 1.5349706680060601e+08 1.5309366576098663e+08 1.5265036058297724e+08 1.5214932964632839e+08 1.5158758976708382e+08 1.5095699051581910e+08 1.5024876068653026e+08 1.4945385494033423e+08 1.4856320037273809e+08 1.4756662707006279e+08 1.4646622268007803e+08 1.4524169744838262e+08 1.4389769932949585e+08 1.4243733717775515e+08 1.4087206529687133e+08 1.3922137242731896e+08 1.3752235327396825e+08 1.3583008244116142e+08 1.3423564627060199e+08 1.3285175910632524e+08 1.3185686206940195e+08 1.3149882984193037e+08 1.3213833309910063e+08 1.3429979842587715e+08 1.3877795748122227e+08 1.4683080389578545e+08 1.6057934410275462e+08 4.0844415097518586e+07 +8.2083027675891120e+00 3.5205134560840547e+08 3.5201711372559476e+08 3.5195940854864424e+08 3.5188399346735156e+08 3.5180899759708977e+08 3.5176257254534441e+08 3.5175721026075333e+08 3.5177163722825629e+08 3.5178411248195434e+08 3.5178988905981487e+08 3.5179104065522945e+08 3.5178734937063533e+08 3.5177760085394460e+08 3.5176079913087535e+08 3.5173604499320954e+08 3.5170212213589865e+08 3.5165760477039140e+08 3.5160092162565118e+08 3.5153024772820836e+08 3.5144337900261819e+08 3.5133770039592379e+08 3.5120997996076965e+08 3.5105524269068295e+08 3.5086482223404354e+08 3.5063194810744351e+08 3.5035368250985444e+08 3.5002346401478136e+08 3.4963213835310286e+08 3.4916901486800539e+08 3.4862155652382392e+08 3.4797506262925005e+08 3.4721230502170664e+08 3.4631313025607109e+08 3.4525403202442098e+08 3.4400771999029833e+08 3.4254264456837732e+08 3.4082261539081097e+08 3.3880650755711371e+08 3.3644824572959512e+08 3.3369709134090620e+08 3.3024089901153767e+08 3.2619824861197257e+08 3.2150072261344832e+08 3.1608759749684882e+08 3.0991410712056321e+08 3.0296136625008333e+08 2.9524674892232102e+08 2.8683260821051931e+08 2.7783091741792881e+08 2.6839934216185227e+08 2.5872980776999608e+08 2.4903741182658821e+08 2.3954005312569499e+08 2.3041963662650517e+08 2.2181879509660858e+08 2.1383826278933635e+08 2.0652938818075749e+08 1.9990639012692124e+08 1.9395190593324178e+08 1.8863645662096953e+08 1.8391260967742747e+08 1.7973760861246222e+08 1.7605928739243901e+08 1.7283994872516584e+08 1.7003432797209671e+08 1.6760278921316981e+08 1.6551475417891645e+08 1.6373426140487003e+08 1.6222611708767566e+08 1.6096541930618200e+08 1.5991865564312151e+08 1.5906365904270309e+08 1.5837333211887065e+08 1.5782555423710302e+08 1.5738892713461605e+08 1.5703219202434057e+08 1.5673367334579730e+08 1.5647184302469301e+08 1.5622408877816224e+08 1.5604854314721593e+08 1.5587121874757910e+08 1.5569025453769681e+08 1.5550070081980085e+08 1.5530515320698714e+08 1.5509785195129922e+08 1.5488647646305448e+08 1.5465114207161099e+08 1.5439928609690669e+08 1.5412627456566307e+08 1.5382848893938121e+08 1.5350153205774868e+08 1.5314045043705714e+08 1.5273798703644750e+08 1.5229571082442331e+08 1.5179584400005487e+08 1.5123540927553743e+08 1.5060627515706626e+08 1.4989969081645283e+08 1.4910663192956388e+08 1.4821804667105281e+08 1.4722378909028235e+08 1.4612594032238549e+08 1.4490426007639843e+08 1.4356338451137635e+08 1.4210641525917482e+08 1.4054478001195577e+08 1.3889792223259056e+08 1.3720285044474277e+08 1.3551451160758260e+08 1.3392377891685459e+08 1.3254310698486979e+08 1.3155052144656965e+08 1.3119332140111199e+08 1.3183133898961256e+08 1.3398778255036744e+08 1.3845553751348400e+08 1.4648967529775172e+08 1.6020627253755853e+08 4.0715823679225102e+07 +8.2132710903633708e+00 3.5156704335729688e+08 3.5153285784680319e+08 3.5147522608592665e+08 3.5139990637392348e+08 3.5132499691891336e+08 3.5127860950965470e+08 3.5127321955560607e+08 3.5128758311436415e+08 3.5129998834954250e+08 3.5130569248960102e+08 3.5130676394560564e+08 3.5130298275530839e+08 3.5129313333375543e+08 3.5127621772802895e+08 3.5125133408428836e+08 3.5121726322222632e+08 3.5117257583829725e+08 3.5111569628267097e+08 3.5104479437743819e+08 3.5095766005607295e+08 3.5085167133451664e+08 3.5072358831419545e+08 3.5056842659473395e+08 3.5037750408237201e+08 3.5014402459609914e+08 3.4986503521780252e+08 3.4953396745844179e+08 3.4914165256414223e+08 3.4867738022326714e+08 3.4812859138172597e+08 3.4748056166414934e+08 3.4671603808469486e+08 3.4581484201989484e+08 3.4475344280523813e+08 3.4350452825818229e+08 3.4203653189535165e+08 3.4031325460343319e+08 3.3829357510119724e+08 3.3593143921246105e+08 3.3317615334662759e+08 3.2971532205797195e+08 3.2566796598824602e+08 3.2096586872439140e+08 3.1554857038698268e+08 3.0937162697025418e+08 3.0241651798312628e+08 2.9470099432710326e+08 2.8628775346535581e+08 2.7728902683071083e+08 2.6786260404175472e+08 2.5820036876627305e+08 2.4851718696848196e+08 2.3903056035300452e+08 2.2992193155654797e+08 2.2133344139989984e+08 2.1336535494256979e+08 2.0606863823602793e+08 1.9945722229069421e+08 1.9351356151439130e+08 1.8820806116276941e+08 1.8349325709777167e+08 1.7932638362396869e+08 1.7565531774402049e+08 1.7244239014337355e+08 1.6964239971284872e+08 1.6721577171147436e+08 1.6513197431505188e+08 1.6335511321291521e+08 1.6185006245452926e+08 1.6059196580510601e+08 1.5954738048331279e+08 1.5869417975075725e+08 1.5800532049445280e+08 1.5745872329085702e+08 1.5702305264128977e+08 1.5666711412294868e+08 1.5636927259141046e+08 1.5610804281998613e+08 1.5586086148524034e+08 1.5568572329579359e+08 1.5550881095203620e+08 1.5532826746528164e+08 1.5513915451834324e+08 1.5494406163757285e+08 1.5473724280054936e+08 1.5452635780786732e+08 1.5429157066377050e+08 1.5404030034885344e+08 1.5376792366424376e+08 1.5347083048446035e+08 1.5314463387279856e+08 1.5278439186260456e+08 1.5238286463224372e+08 1.5194161578145438e+08 1.5144291124816704e+08 1.5088377963659769e+08 1.5025610835874930e+08 1.4955116693271446e+08 1.4875995201615027e+08 1.4787343282969090e+08 1.4688148734682199e+08 1.4578619020805860e+08 1.4456735049751514e+08 1.4322959260196143e+08 1.4177601094209003e+08 1.4021800664010125e+08 1.3857497795206955e+08 1.3688384735518038e+08 1.3519943436178958e+08 1.3361239936217368e+08 1.3223493763326658e+08 1.3124465997766809e+08 1.3088829081077407e+08 1.3152482505405946e+08 1.3367625470373714e+08 1.3813362184827915e+08 1.4614908026289946e+08 1.5983378450409478e+08 4.0587592771776199e+07 +8.2182394131376295e+00 3.5108242302686143e+08 3.5104828332616812e+08 3.5099072457979983e+08 3.5091550013178325e+08 3.5084067724460822e+08 3.5079432759660268e+08 3.5078891007280850e+08 3.5080321034530425e+08 3.5081554572272342e+08 3.5082117763073075e+08 3.5082216919859797e+08 3.5081829841182822e+08 3.5080834846428299e+08 3.5079131943491960e+08 3.5076630683684689e+08 3.5073208863257742e+08 3.5068723202072448e+08 3.5063015699667555e+08 3.5055902820533693e+08 3.5047162961966997e+08 3.5036533236266416e+08 3.5023688862793803e+08 3.5008130468033224e+08 3.4988988278372157e+08 3.4965580118272406e+08 3.4937609191025531e+08 3.4904417947884732e+08 3.4865088075268912e+08 3.4818546589782858e+08 3.4763535399431872e+08 3.4698579715743792e+08 3.4621951777744079e+08 3.4531631227623779e+08 3.4425262588408279e+08 3.4300112484931916e+08 3.4153022609274817e+08 3.3980372207599473e+08 3.3778049547255284e+08 3.3541451359869468e+08 3.3265512814961559e+08 3.2918969672016138e+08 3.2513767870722449e+08 3.2043105882411426e+08 3.1500964056757057e+08 3.0882930144988114e+08 3.0187188468155509e+08 2.9415551654147965e+08 2.8574323700499260e+08 2.7674753351119572e+08 2.6732631754202273e+08 2.5767142922868028e+08 2.4799750160401067e+08 2.3852163871608275e+08 2.2942482099159285e+08 2.2084869805172646e+08 2.1289306694170535e+08 2.0560851262736607e+08 1.9900867959055802e+08 1.9307584048116449e+08 1.8778028573763654e+08 1.8307452027496728e+08 1.7891576971444052e+08 1.7525195440832725e+08 1.7204543327513456e+08 1.6925106885140485e+08 1.6682934764221114e+08 1.6474978432700798e+08 1.6297655173278481e+08 1.6147459173062617e+08 1.6021909376604003e+08 1.5917668462910447e+08 1.5832527789308986e+08 1.5763788467794034e+08 1.5709246675703284e+08 1.5665775134903154e+08 1.5630260833474290e+08 1.5600544297189766e+08 1.5574481284853682e+08 1.5549820354308152e+08 1.5532347215979236e+08 1.5514697122727531e+08 1.5496684780433288e+08 1.5477817493712315e+08 1.5458353607530001e+08 1.5437719889851612e+08 1.5416680363743475e+08 1.5393256288208538e+08 1.5368187730879191e+08 1.5341013447530809e+08 1.5311373265633711e+08 1.5278829512252238e+08 1.5242889140600628e+08 1.5202829887679139e+08 1.5158807578117770e+08 1.5109053171677977e+08 1.5053270117510158e+08 1.4990649044458231e+08 1.4920318935747916e+08 1.4841381552044711e+08 1.4752935916724944e+08 1.4653972215618086e+08 1.4544697265120870e+08 1.4423096902326253e+08 1.4289632390986755e+08 1.4144612453192493e+08 1.3989174548336479e+08 1.3825253988413820e+08 1.3656534430017334e+08 1.3488485099507546e+08 1.3330150789443922e+08 1.3192725133614133e+08 1.3093927794528121e+08 1.3058373835304151e+08 1.3121879157573649e+08 1.3336521517395286e+08 1.3781221078298393e+08 1.4580901910606474e+08 1.5946188034659606e+08 4.0459721571917117e+07 +8.2232077359118882e+00 3.5059748753945541e+08 3.5056339426875424e+08 3.5050590924159342e+08 3.5043077947951770e+08 3.5035604334988350e+08 3.5030973163797647e+08 3.5030428664062244e+08 3.5031852375086665e+08 3.5033078943151313e+08 3.5033634931403548e+08 3.5033726124432319e+08 3.5033330117053425e+08 3.5032325107570153e+08 3.5030610908122098e+08 3.5028096808000588e+08 3.5024660319479752e+08 3.5020157814527023e+08 3.5014430859418011e+08 3.5007295403657883e+08 3.4998529251663405e+08 3.4987868830138230e+08 3.4974988572132856e+08 3.4959388176366222e+08 3.4940196315120852e+08 3.4916728267592561e+08 3.4888685739057440e+08 3.4855410487274909e+08 3.4815982770874804e+08 3.4769327667302001e+08 3.4714184913251489e+08 3.4649077386754608e+08 3.4572274884338266e+08 3.4481754575049996e+08 3.4375158596487778e+08 3.4249751444142014e+08 3.4102373180675435e+08 3.3929402241781664e+08 3.3726727323511964e+08 3.3489747339711666e+08 3.3213402019361842e+08 3.2866402735732293e+08 3.2460739102394795e+08 3.1989629704221249e+08 3.1447081202077317e+08 3.0828713436707264e+08 3.0132746995049614e+08 2.9361031894200492e+08 2.8519906195372564e+08 2.7620644031265837e+08 2.6679048523491174e+08 2.5714299144651759e+08 2.4747835774924037e+08 2.3801328997508538e+08 2.2892830646020731e+08 2.2036456637718898e+08 2.1242139993730760e+08 2.0514901235894293e+08 1.9856076290916049e+08 1.9263874361557126e+08 1.8735313104465845e+08 1.8265639983992711e+08 1.7850576745832413e+08 1.7484919791298082e+08 1.7164907860930613e+08 1.6886033584404767e+08 1.6644351743489099e+08 1.6436818462157506e+08 1.6259857735268208e+08 1.6109970528932008e+08 1.5984680355024278e+08 1.5880656843225074e+08 1.5795695381425878e+08 1.5727102500824988e+08 1.5672678497131485e+08 1.5629302359034970e+08 1.5593867499064112e+08 1.5564218481687033e+08 1.5538215343987480e+08 1.5513611528009787e+08 1.5496179006753373e+08 1.5478569990112343e+08 1.5460599588207120e+08 1.5441776240333992e+08 1.5422357684673584e+08 1.5401772057184312e+08 1.5380781427715722e+08 1.5357411905216986e+08 1.5332401730140781e+08 1.5305290732302091e+08 1.5275719577832550e+08 1.5243251612957767e+08 1.5207394938976166e+08 1.5167429009112912e+08 1.5123509114393449e+08 1.5073870572505555e+08 1.5018217420912397e+08 1.4955742173131922e+08 1.4885575840607372e+08 1.4806822275617841e+08 1.4718582599540260e+08 1.4619849382789707e+08 1.4510828795909169e+08 1.4389511595827278e+08 1.4256357873690027e+08 1.4111675632746708e+08 1.3956599683725065e+08 1.3793060832108086e+08 1.3624734156827852e+08 1.3457076179227772e+08 1.3299110479519211e+08 1.3162004837235114e+08 1.3063437562632447e+08 1.3027966430357699e+08 1.3091323883188884e+08 1.3305466424281913e+08 1.3749130460912716e+08 1.4546949213533345e+08 1.5909056040198496e+08 4.0332209277160272e+07 +8.2281760586861470e+00 3.5011224470798409e+08 3.5007819240924501e+08 3.5002078508736312e+08 3.4994574919430602e+08 3.4987110001192731e+08 3.4982482644728762e+08 3.4981935407235348e+08 3.4983352814558226e+08 3.4984572429035348e+08 3.4985121235379285e+08 3.4985204489738256e+08 3.4984799584527761e+08 3.4983784598203921e+08 3.4982059147998309e+08 3.4979532262676287e+08 3.4976081172200662e+08 3.4971561902328944e+08 3.4965815588578540e+08 3.4958657668034363e+08 3.4949865355450672e+08 3.4939174395690632e+08 3.4926258439743537e+08 3.4910616264572799e+08 3.4891374998193282e+08 3.4867847386837965e+08 3.4839733644650728e+08 3.4806374842220038e+08 3.4766849820657152e+08 3.4720081731421399e+08 3.4664808155088568e+08 3.4599549653662896e+08 3.4522573600929278e+08 3.4431854715186369e+08 3.4325032773475230e+08 3.4199370169605958e+08 3.4051705366754806e+08 3.3878416022143888e+08 3.3675391293578911e+08 3.3438032310020798e+08 3.3161283390463763e+08 3.2813831830970162e+08 3.2407710717575586e+08 3.1936158749144953e+08 3.1393208871029985e+08 3.0774512951083142e+08 3.0078327737740308e+08 2.9306540488770682e+08 2.8465523141790205e+08 2.7566575007107425e+08 2.6625510967517793e+08 2.5661505769303888e+08 2.4695975740477282e+08 2.3750551587551627e+08 2.2843238947739482e+08 2.1988104768891954e+08 2.1195035506819546e+08 2.0469013842376485e+08 1.9811347311811224e+08 1.9220227168925413e+08 1.8692659777311373e+08 1.8223889641438878e+08 1.7809637742144567e+08 1.7444704877719557e+08 1.7125332662640032e+08 1.6847020113925776e+08 1.6605828151091939e+08 1.6398717559811443e+08 1.6222119045348608e+08 1.6072540349670941e+08 1.5947509551157680e+08 1.5843703223716682e+08 1.5758920785128829e+08 1.5690474181732500e+08 1.5636167826167196e+08 1.5592886969102040e+08 1.5557531441487104e+08 1.5527949844926220e+08 1.5502006491588396e+08 1.5477459701786318e+08 1.5460067734015900e+08 1.5442499729426906e+08 1.5424571201910809e+08 1.5405791723677403e+08 1.5386418427155918e+08 1.5365880813927194e+08 1.5344939004587564e+08 1.5321623949215025e+08 1.5296672064436451e+08 1.5269624252429286e+08 1.5240122016698542e+08 1.5207729720992804e+08 1.5171956612869450e+08 1.5132083858964786e+08 1.5088266218303832e+08 1.5038743358543807e+08 1.4983219904997408e+08 1.4920890252882096e+08 1.4850887438688824e+08 1.4772317403001550e+08 1.4684283361899644e+08 1.4585780266494238e+08 1.4477013643228897e+08 1.4355979160073668e+08 1.4223135737866601e+08 1.4078790662115312e+08 1.3924076099091667e+08 1.3760918354860598e+08 1.3592983944176859e+08 1.3425716703251058e+08 1.3268119034013233e+08 1.3131332901456572e+08 1.3032995329123455e+08 1.2997606893249843e+08 1.3060816709378345e+08 1.3274460218610291e+08 1.3717090361127165e+08 1.4513049965207070e+08 1.5871982499987969e+08 4.0205055085790336e+07 +8.2331443814604057e+00 3.4962669240258706e+08 3.4959268878986454e+08 3.4953535580180788e+08 3.4946041414079386e+08 3.4938585202117449e+08 3.4933961681951565e+08 3.4933411716622937e+08 3.4934822832837099e+08 3.4936035509794521e+08 3.4936577154870975e+08 3.4936652495665050e+08 3.4936238723464376e+08 3.4935213798170459e+08 3.4933477142971927e+08 3.4930937527472955e+08 3.4927471901057976e+08 3.4922935945123947e+08 3.4917170366612768e+08 3.4909990093060744e+08 3.4901171752576941e+08 3.4890450411890608e+08 3.4877498944423783e+08 3.4861815211112636e+08 3.4842524805713379e+08 3.4818937953743541e+08 3.4790753385000992e+08 3.4757311489265001e+08 3.4717689700432825e+08 3.4670809257051986e+08 3.4615405598848295e+08 3.4549996989089215e+08 3.4472848398669314e+08 3.4381932117305267e+08 3.4274885586495763e+08 3.4148969125852370e+08 3.4001019628849155e+08 3.3827414006253177e+08 3.3624041910424334e+08 3.3386306718311489e+08 3.3109157369220936e+08 3.2761257390051687e+08 3.2354683138178378e+08 3.1882693426700479e+08 3.1339347458227164e+08 3.0720329065299362e+08 3.0023931053187460e+08 2.9252077771955836e+08 2.8411174848674148e+08 2.7512546560544652e+08 2.6572019340145835e+08 2.5608763022569859e+08 2.4644170255573139e+08 2.3699831814865121e+08 2.2793707154471409e+08 2.1939814328659135e+08 2.1147993346175697e+08 2.0423189180351707e+08 1.9766681107849881e+08 1.9176642546395320e+08 1.8650068660307494e+08 1.8182201061072239e+08 1.7768760016048849e+08 1.7404550751165575e+08 1.7085817779876080e+08 1.6808066517724308e+08 1.6567364028382015e+08 1.6360675764792180e+08 1.6184439140848482e+08 1.6035168671072170e+08 1.5910396999625045e+08 1.5806807638073298e+08 1.5722204033421275e+08 1.5653903542999539e+08 1.5599714694890207e+08 1.5556528996946985e+08 1.5521252692396748e+08 1.5491738418481597e+08 1.5465854759143081e+08 1.5441364907076421e+08 1.5424013429142156e+08 1.5406486372029793e+08 1.5388599652861458e+08 1.5369863975028270e+08 1.5350535866214567e+08 1.5330046191297510e+08 1.5309153125520816e+08 1.5285892451295120e+08 1.5260998764833981e+08 1.5234014038950291e+08 1.5204580613179111e+08 1.5172263867219996e+08 1.5136574193108836e+08 1.5096794467961571e+08 1.5053078920505568e+08 1.5003671560321784e+08 1.4948277600170693e+08 1.4886093314002341e+08 1.4816253760141689e+08 1.4737866964193451e+08 1.4650038233643463e+08 1.4551764896343902e+08 1.4443251836488560e+08 1.4322499624213144e+08 1.4189966012366495e+08 1.4045957569902933e+08 1.3891603822723958e+08 1.3728826584605375e+08 1.3561283819673246e+08 1.3394406698821011e+08 1.3237176479853784e+08 1.3100709352939321e+08 1.3002601120480332e+08 1.2967295250364980e+08 1.3030357662665269e+08 1.3243502927325995e+08 1.3685100806807333e+08 1.4479204195110974e+08 1.5834967446260092e+08 4.0078258196869493e+07 +8.2381127042346645e+00 3.4914084438713104e+08 3.4910688436810791e+08 3.4904962577990681e+08 3.4897477920010161e+08 3.4890030417965734e+08 3.4885410753319323e+08 3.4884858070431155e+08 3.4886262908315718e+08 3.4887468663825476e+08 3.4888003168211693e+08 3.4888070620553809e+08 3.4887648012182218e+08 3.4886613185748643e+08 3.4884865371295327e+08 3.4882313080594152e+08 3.4878832984177089e+08 3.4874280420912278e+08 3.4868495671471626e+08 3.4861293156514657e+08 3.4852448920651281e+08 3.4841697356223154e+08 3.4828710563355947e+08 3.4812985492918712e+08 3.4793646214273036e+08 3.4770000444405597e+08 3.4741745435682666e+08 3.4708220903382283e+08 3.4668502884454179e+08 3.4621510717587012e+08 3.4565977716777802e+08 3.4500419864081830e+08 3.4423099746983600e+08 3.4331987249115193e+08 3.4224717501055872e+08 3.4098548775677896e+08 3.3950316426686943e+08 3.3776396649956495e+08 3.3572679625426590e+08 3.3334571010383493e+08 3.3057024394835663e+08 3.2708679843641490e+08 3.2301656784460384e+08 3.1829234144545561e+08 3.1285497356485569e+08 3.0666162154671115e+08 2.9969557296560812e+08 2.9197644076079822e+08 2.8356861623170757e+08 2.7458558971745139e+08 2.6518573893571275e+08 2.5556071128629068e+08 2.4592419517284217e+08 2.3649169851167932e+08 2.2744235415011835e+08 2.1891585445757279e+08 2.1101013623283315e+08 2.0377427346902248e+08 1.9722077764106473e+08 1.9133120569137576e+08 1.8607539820489311e+08 1.8140574303252345e+08 1.7727943622359475e+08 1.7364457461870712e+08 1.7046363259027210e+08 1.6769172838994038e+08 1.6528959415936142e+08 1.6322693115461874e+08 1.6146818058319283e+08 1.5997855528233191e+08 1.5873342734345576e+08 1.5769970119299591e+08 1.5685545158564615e+08 1.5617390616346368e+08 1.5563319134692922e+08 1.5520228473676977e+08 1.5485031282767931e+08 1.5455584233209413e+08 1.5429760177452791e+08 1.5405327174599513e+08 1.5388016122843570e+08 1.5370529948572582e+08 1.5352684971672496e+08 1.5333993024986583e+08 1.5314710032393664e+08 1.5294268219804844e+08 1.5273423820986485e+08 1.5250217441895658e+08 1.5225381861699620e+08 1.5198460122167611e+08 1.5169095397538257e+08 1.5136854081854752e+08 1.5101247709798726e+08 1.5061560866145194e+08 1.5017947250920478e+08 1.4968655207698500e+08 1.4913390536196700e+08 1.4851351386117437e+08 1.4781674834452647e+08 1.4703470988531029e+08 1.4615847243908304e+08 1.4517803301305392e+08 1.4409543404420546e+08 1.4289073016748092e+08 1.4156848725459775e+08 1.4013176384031779e+08 1.3859182882259339e+08 1.3696785548685849e+08 1.3529633810298988e+08 1.3363146192599279e+08 1.3206282843375744e+08 1.3070134217769882e+08 1.2972254962561740e+08 1.2937031527505848e+08 1.2999946768987267e+08 1.3212594576779993e+08 1.3653161825191689e+08 1.4445411932049379e+08 1.5798010910514197e+08 3.9951817810242437e+07 +8.2430810270089232e+00 3.4865469963183653e+08 3.4862078442647195e+08 3.4856360081515127e+08 3.4848884923177832e+08 3.4841446128877771e+08 3.4836830335032690e+08 3.4836274945514888e+08 3.4837673517759264e+08 3.4838872367873901e+08 3.4839399752209157e+08 3.4839459341167867e+08 3.4839027927403408e+08 3.4837983237628859e+08 3.4836224309633267e+08 3.4833659398644423e+08 3.4830164898144025e+08 3.4825595806192482e+08 3.4819791979555410e+08 3.4812567334658408e+08 3.4803697335757869e+08 3.4792915704520351e+08 3.4779893772201681e+08 3.4764127585336304e+08 3.4744739698818332e+08 3.4721035333390868e+08 3.4692710270785409e+08 3.4659103558017945e+08 3.4619289845345980e+08 3.4572186584751624e+08 3.4516524979605418e+08 3.4450818747984439e+08 3.4373328113826925e+08 3.4282020576595831e+08 3.4174528980957270e+08 3.4048109580317593e+08 3.3899596218256623e+08 3.3725364407541889e+08 3.3521304888197875e+08 3.3282825630357867e+08 3.3004884904733706e+08 3.2656099620571470e+08 3.2248632074848723e+08 3.1775781308631605e+08 3.1231658956869709e+08 3.0612012592757142e+08 2.9915206821198052e+08 2.9143239731705099e+08 2.8302583770685267e+08 2.7404612519176012e+08 2.6465174878343448e+08 2.5503430310017076e+08 2.4540723721129191e+08 2.3598565866726080e+08 2.2694823876855069e+08 2.1843418247633889e+08 2.1054096448497948e+08 2.0331728437959534e+08 1.9677537364572784e+08 1.9089661311342204e+08 1.8565073323953733e+08 1.8099009427420530e+08 1.7687188615013176e+08 1.7324425059190285e+08 1.7006969145693675e+08 1.6730339120192301e+08 1.6490614353559962e+08 1.6284769649452454e+08 1.6109255833566120e+08 1.5960600955515739e+08 1.5836346788483152e+08 1.5733190699607864e+08 1.5648944192119029e+08 1.5580935432818520e+08 1.5526981176240718e+08 1.5483985429730010e+08 1.5448867242851308e+08 1.5419487319250485e+08 1.5393722776585931e+08 1.5369346534374386e+08 1.5352075845092180e+08 1.5334630489019132e+08 1.5316827188267949e+08 1.5298178903415260e+08 1.5278940955547169e+08 1.5258546929242125e+08 1.5237751120741564e+08 1.5214598950724402e+08 1.5189821384698483e+08 1.5162962531678516e+08 1.5133666399332356e+08 1.5101500394378182e+08 1.5065977192378446e+08 1.5026383082874012e+08 1.4982871238839808e+08 1.4933694329842988e+08 1.4878558742117938e+08 1.4816664498170501e+08 1.4747150690431616e+08 1.4669129504658267e+08 1.4581710421186641e+08 1.4483895509673780e+08 1.4375888375109926e+08 1.4255699365519601e+08 1.4123783904704174e+08 1.3980447131825614e+08 1.3826813304703811e+08 1.3664795273768681e+08 1.3498033942411193e+08 1.3331935210633665e+08 1.3175438150325322e+08 1.3039607521388356e+08 1.2941956880661714e+08 1.2906815749897198e+08 1.2969584053656827e+08 1.3181735192743759e+08 1.3621273442875594e+08 1.4411673204166195e+08 1.5761112923539993e+08 3.9825733126541570e+07 +8.2480493497831819e+00 3.4816826138870692e+08 3.4813439255905014e+08 3.4807728501455021e+08 3.4800262908055156e+08 3.4792832813712817e+08 3.4788220901805639e+08 3.4787662817115378e+08 3.4789055136507899e+08 3.4790247097184455e+08 3.4790767382021284e+08 3.4790819132733065e+08 3.4790378944334692e+08 3.4789324429053193e+08 3.4787554433121699e+08 3.4784976956701332e+08 3.4781468117971331e+08 3.4776882575883520e+08 3.4771059765636832e+08 3.4763813102159625e+08 3.4754917472430891e+08 3.4744105931120765e+08 3.4731049045070964e+08 3.4715241962178671e+08 3.4695805732829076e+08 3.4672043093712819e+08 3.4643648362725294e+08 3.4609959924928004e+08 3.4570051054218566e+08 3.4522837328740400e+08 3.4467047856418449e+08 3.4401194108675450e+08 3.4323533965410954e+08 3.4232032564244813e+08 3.4124320488476372e+08 3.3997651999340099e+08 3.3848859460014033e+08 3.3674317731528449e+08 3.3469918146685064e+08 3.3231071020658737e+08 3.2952739334722000e+08 3.2603517147972059e+08 3.2195609426016146e+08 3.1722335323109359e+08 3.1177832648627281e+08 3.0557880751336235e+08 2.9860879978686643e+08 2.9088865067597455e+08 2.8248341594872010e+08 2.7350707479626203e+08 2.6411822543391901e+08 2.5450840787766662e+08 2.4489083061117765e+08 2.3548020030404061e+08 2.2645472686111706e+08 2.1795312860501361e+08 2.1007241930976987e+08 2.0286092548356050e+08 1.9633059992233321e+08 1.9046264846192846e+08 1.8522669235830742e+08 1.8057506492079395e+08 1.7646495047074997e+08 1.7284453591673335e+08 1.6967635484628856e+08 1.6691565402926806e+08 1.6452328880240610e+08 1.6246905403594360e+08 1.6071752501664919e+08 1.5923404986510187e+08 1.5799409194483471e+08 1.5696469410558149e+08 1.5612401164891139e+08 1.5544538022730058e+08 1.5490700849488732e+08 1.5447799894801727e+08 1.5412760602213004e+08 1.5383447706078565e+08 1.5357742585910547e+08 1.5333423015748903e+08 1.5316192625187430e+08 1.5298788022614753e+08 1.5281026331860378e+08 1.5262421639501789e+08 1.5243228664808211e+08 1.5222882348742858e+08 1.5202135053839675e+08 1.5179037006809747e+08 1.5154317362805712e+08 1.5127521296446475e+08 1.5098293647422320e+08 1.5066202833608001e+08 1.5030762669590488e+08 1.4991261146810088e+08 1.4947850912830645e+08 1.4898788955241531e+08 1.4843782246330044e+08 1.4782032678428173e+08 1.4712681356207374e+08 1.4634842540555939e+08 1.4547627793283215e+08 1.4450041549068564e+08 1.4342286775973886e+08 1.4222378697724333e+08 1.4090771577054265e+08 1.3947769839944199e+08 1.3794495116433853e+08 1.3632855785928318e+08 1.3466484241768897e+08 1.3300773778336382e+08 1.3144642425832419e+08 1.3009129288690899e+08 1.2911706899460715e+08 1.2876647942142209e+08 1.2939269541442901e+08 1.3150924800326166e+08 1.3589435685855743e+08 1.4377988038974336e+08 1.5724273515403873e+08 3.9700003347192056e+07 +8.2530176725574407e+00 3.4768154066721654e+08 3.4764771591170669e+08 3.4759068409123260e+08 3.4751612348840016e+08 3.4744190949350023e+08 3.4739582926844007e+08 3.4739022158974802e+08 3.4740408238248688e+08 3.4741593325455809e+08 3.4742106531332129e+08 3.4742150468920839e+08 3.4741701536599582e+08 3.4740637233604503e+08 3.4738856215361768e+08 3.4736266228370023e+08 3.4732743117094570e+08 3.4728141203382427e+08 3.4722299503018451e+08 3.4715030932156223e+08 3.4706109803589249e+08 3.4695268508797735e+08 3.4682176854394901e+08 3.4666329095613509e+08 3.4646844788126123e+08 3.4623024196770173e+08 3.4594560182409066e+08 3.4560790474424952e+08 3.4520786980533600e+08 3.4473463418108267e+08 3.4417546814714253e+08 3.4351546412294364e+08 3.4273717766444016e+08 3.4182023674840271e+08 3.4074092484156990e+08 3.3947176490673846e+08 3.3798106606653410e+08 3.3623257072819048e+08 3.3418519847157818e+08 3.3179307621995306e+08 3.2900588118815571e+08 3.2550932851258582e+08 3.2142589252946311e+08 3.1668896590377653e+08 3.1124018819268227e+08 3.0503767000380826e+08 2.9806577118869090e+08 2.9034520410806209e+08 2.8194135397645205e+08 2.7296844128167939e+08 2.6358517135919601e+08 2.5398302781284037e+08 2.4437497729805902e+08 2.3497532509651798e+08 2.2596181987596455e+08 2.1747269409316906e+08 2.0960450178696933e+08 2.0240519771837404e+08 1.9588645729012233e+08 1.9002931245877898e+08 1.8480327620346457e+08 1.8016065554867724e+08 1.7605862970742595e+08 1.7244543107008880e+08 1.6928362319784933e+08 1.6652851728048691e+08 1.6414103034250730e+08 1.6209100413995221e+08 1.6034308096915707e+08 1.5886267654103029e+08 1.5762529984056130e+08 1.5659806282935032e+08 1.5575916107012436e+08 1.5508198415690148e+08 1.5454478183680853e+08 1.5411671897910827e+08 1.5376711389686865e+08 1.5347465422431174e+08 1.5321819634131822e+08 1.5297556647303662e+08 1.5280366491699913e+08 1.5263002577925658e+08 1.5245282430980939e+08 1.5226721261748648e+08 1.5207573188647041e+08 1.5187274506706989e+08 1.5166575648672155e+08 1.5143531638472709e+08 1.5118869824317089e+08 1.5092136444679415e+08 1.5062977170009348e+08 1.5030961427673638e+08 1.4995604169476181e+08 1.4956195085933617e+08 1.4912886300802910e+08 1.4863939111700428e+08 1.4809061076537025e+08 1.4747455954487580e+08 1.4678266859246778e+08 1.4600610123554489e+08 1.4513599387367204e+08 1.4416241446475744e+08 1.4308738633779919e+08 1.4189111039912564e+08 1.4057811768816465e+08 1.3915144534432736e+08 1.3762228343196508e+08 1.3600967110616702e+08 1.3434984733520368e+08 1.3269661920563905e+08 1.3113895694431798e+08 1.2978699543952231e+08 1.2881505043050116e+08 1.2846528128286660e+08 1.2909003256473100e+08 1.3120163424108440e+08 1.3557648579484463e+08 1.4344356463307253e+08 1.5687492715444565e+08 3.9574627674416654e+07 +8.2579859953316994e+00 3.4719453952746248e+08 3.4716075971028829e+08 3.4710380250795233e+08 3.4702933709360123e+08 3.4695521010150170e+08 3.4690916881956726e+08 3.4690353443344432e+08 3.4691733295168161e+08 3.4692911524784458e+08 3.4693417672244895e+08 3.4693453821819091e+08 3.4692996176270318e+08 3.4691922123297018e+08 3.4690130128340805e+08 3.4687527685512501e+08 3.4683990367446315e+08 3.4679372160461909e+08 3.4673511663374728e+08 3.4666221296186084e+08 3.4657274800661421e+08 3.4646403908719838e+08 3.4633277671203065e+08 3.4617389456310505e+08 3.4597857335032421e+08 3.4573979112398034e+08 3.4545446199138796e+08 3.4511595675153667e+08 3.4471498092213786e+08 3.4424065319869530e+08 3.4368022320392609e+08 3.4301876123486823e+08 3.4223879979945004e+08 3.4131994369579500e+08 3.4023845426997477e+08 3.3896683510630864e+08 3.3747338111267948e+08 3.3572182880635321e+08 3.3367110434214425e+08 3.3127535873379987e+08 3.2848431689363325e+08 3.2498347154059178e+08 3.2089571968802273e+08 3.1615465511076099e+08 3.1070217854445130e+08 3.0449671708076745e+08 2.9752298589737540e+08 2.8980206086559242e+08 2.8139965479226846e+08 2.7243022738181937e+08 2.6305258901599342e+08 2.5345816508437321e+08 2.4385967918233797e+08 2.3447103470495653e+08 2.2546951924802175e+08 2.1699288017805976e+08 2.0913721298497558e+08 2.0195010201054311e+08 1.9544294655792084e+08 1.8959660581615230e+08 1.8438048540761438e+08 1.7974686672518328e+08 1.7565292437345931e+08 1.7204693652060381e+08 1.6889149694308743e+08 1.6614198135593152e+08 1.6375936853044283e+08 1.6171354715969580e+08 1.5996922652915072e+08 1.5849188990420464e+08 1.5725709188189894e+08 1.5623201346837339e+08 1.5539489047895226e+08 1.5471916640594575e+08 1.5418313207373467e+08 1.5375601467353365e+08 1.5340719633430344e+08 1.5311540496349803e+08 1.5285953949211797e+08 1.5261747457001954e+08 1.5244597472571757e+08 1.5227274182797131e+08 1.5209595513456184e+08 1.5191077797937959e+08 1.5171974554810289e+08 1.5151723430856404e+08 1.5131072932916051e+08 1.5108082873374212e+08 1.5083478796828091e+08 1.5056808003937232e+08 1.5027716994564530e+08 1.4995776203985688e+08 1.4960501719416904e+08 1.4921184927553922e+08 1.4877977429970440e+08 1.4829144826361337e+08 1.4774395259773540e+08 1.4712934353249884e+08 1.4643907226336691e+08 1.4566432280296421e+08 1.4479625229919982e+08 1.4382495228218198e+08 1.4275243974668682e+08 1.4155896417978302e+08 1.4024904505646756e+08 1.3882571240694854e+08 1.3730013010107112e+08 1.3569129272669345e+08 1.3403535442167304e+08 1.3238599661524707e+08 1.3083197980060638e+08 1.2948318310864040e+08 1.2851351334959152e+08 1.2816456331786573e+08 1.2878785222329526e+08 1.3089451088024336e+08 1.3525912148527524e+08 1.4310778503341067e+08 1.5650770552310634e+08 3.9449605311240852e+07 +8.2629543181059582e+00 3.4670725923342925e+08 3.4667352657676768e+08 3.4661664432062483e+08 3.4654227447067654e+08 3.4646823467468876e+08 3.4642223237437564e+08 3.4641657140882677e+08 3.4643030777905250e+08 3.4644202165807891e+08 3.4644701275279021e+08 3.4644729661988980e+08 3.4644263333876312e+08 3.4643179568691564e+08 3.4641376642540556e+08 3.4638761798583251e+08 3.4635210339325047e+08 3.4630575917384952e+08 3.4624696716801238e+08 3.4617384664252424e+08 3.4608412933451700e+08 3.4597512600548112e+08 3.4584351964790010e+08 3.4568423513382322e+08 3.4548843842258477e+08 3.4524908308870512e+08 3.4496306880644703e+08 3.4462375994204330e+08 3.4422184855571729e+08 3.4374643499421525e+08 3.4318474837790465e+08 3.4252183705279505e+08 3.4174021067368001e+08 3.4081945108023107e+08 3.3973579774294096e+08 3.3846173513841873e+08 3.3696554425302142e+08 3.3521095602563101e+08 3.3315690350776303e+08 3.3075756212144369e+08 3.2796270476985127e+08 3.2445760478340459e+08 3.2036557985049015e+08 3.1562042484071422e+08 3.1016430138100493e+08 3.0395595240858817e+08 2.9698044737572080e+08 2.8925922418361765e+08 2.8085832138041526e+08 2.7189243581358981e+08 2.6252048084422141e+08 2.5293382185515594e+08 2.4334493815958157e+08 2.3396733077589983e+08 2.2497782639890283e+08 2.1651368808447248e+08 2.0867055396031612e+08 2.0149563927540869e+08 1.9500006852427882e+08 1.8916452923644713e+08 1.8395832059401444e+08 1.7933369900867602e+08 1.7524783497349688e+08 1.7164905272852519e+08 1.6849997650545463e+08 1.6575604664820674e+08 1.6337830373324090e+08 1.6133668344106662e+08 1.5959596202487010e+08 1.5812169026894221e+08 1.5688946837164780e+08 1.5586654631652713e+08 1.5503120016220415e+08 1.5435692725647074e+08 1.5382205948404095e+08 1.5339588630744433e+08 1.5304785360911444e+08 1.5275672955208266e+08 1.5250145558441427e+08 1.5225995472076377e+08 1.5208885594951212e+08 1.5191602864420781e+08 1.5173965606429201e+08 1.5155491275189939e+08 1.5136432790377980e+08 1.5116229148255631e+08 1.5095626933580232e+08 1.5072690738460740e+08 1.5048144307253453e+08 1.5021536001082623e+08 1.4992513147925898e+08 1.4960647189337003e+08 1.4925455346122569e+08 1.4886230698296764e+08 1.4843124326891059e+08 1.4794406125682163e+08 1.4739784822404352e+08 1.4678467900984874e+08 1.4609602483620253e+08 1.4532309036792096e+08 1.4445705346797600e+08 1.4348802919940469e+08 1.4241802824096090e+08 1.4122734857186124e+08 1.3992049812568823e+08 1.3850049983489487e+08 1.3697849141689026e+08 1.3537342296280718e+08 1.3372136391646260e+08 1.3207587024843247e+08 1.3052549306072854e+08 1.2917985612533323e+08 1.2821245798120587e+08 1.2786432575507918e+08 1.2848615461996712e+08 1.3058787815440789e+08 1.3494226417108962e+08 1.4277254184623566e+08 1.5614107053927538e+08 3.9324935461497717e+07 +8.2679226408802169e+00 3.4621971213024330e+08 3.4618602054381764e+08 3.4612921413261414e+08 3.4605494014978409e+08 3.4598098789377338e+08 3.4593502462307435e+08 3.4592933720698333e+08 3.4594301155536008e+08 3.4595465717467761e+08 3.4595957809409612e+08 3.4595978458415437e+08 3.4595503478403181e+08 3.4594410038703579e+08 3.4592596226871520e+08 3.4589969036387187e+08 3.4586403501496226e+08 3.4581752942841071e+08 3.4575855131928015e+08 3.4568521504781866e+08 3.4559524670260185e+08 3.4548595052268028e+08 3.4535400203034878e+08 3.4519431734296674e+08 3.4499804776929766e+08 3.4475812252907300e+08 3.4447142693072909e+08 3.4413131897074729e+08 3.4372847735340887e+08 3.4325198420595467e+08 3.4268904829586625e+08 3.4202469619047648e+08 3.4124141488559097e+08 3.4031876348170924e+08 3.3923295981828564e+08 3.3795646953346640e+08 3.3645755998492038e+08 3.3469995684472978e+08 3.3264260038054830e+08 3.3023969073929656e+08 3.2744104910550469e+08 3.2393173244289821e+08 3.1983547711397266e+08 3.1508627906474131e+08 3.0962656052445388e+08 3.0341537963435251e+08 2.9643815906846976e+08 2.8871669727973551e+08 2.8031735670857602e+08 2.7135506927732283e+08 2.6198884926747933e+08 2.5241000027261159e+08 2.4283075611057988e+08 2.3346421494156897e+08 2.2448674273693952e+08 2.1603511902496040e+08 2.0820452575791386e+08 2.0104181041764674e+08 1.9455782397747740e+08 1.8873308341216028e+08 1.8353678237660304e+08 1.7892115294857118e+08 1.7484336200374314e+08 1.7125178014598495e+08 1.6810906230022371e+08 1.6537071354230002e+08 1.6299783631049478e+08 1.6096041332260624e+08 1.5922328777725831e+08 1.5775207794198340e+08 1.5652242960528144e+08 1.5550166166050324e+08 1.5466809039994207e+08 1.5399526698341820e+08 1.5346156433941260e+08 1.5303633415005872e+08 1.5268908598874483e+08 1.5239862825665486e+08 1.5214394488445726e+08 1.5190300719075978e+08 1.5173230885388204e+08 1.5155988649284777e+08 1.5138392736359876e+08 1.5119961719917068e+08 1.5100947921753111e+08 1.5080791685242409e+08 1.5060237676976821e+08 1.5037355260017982e+08 1.5012866381820241e+08 1.4986320462318954e+08 1.4957365656225809e+08 1.4925574409799597e+08 1.4890465075608268e+08 1.4851332424127775e+08 1.4808327017432252e+08 1.4759723035452738e+08 1.4705229790124592e+08 1.4644056623289490e+08 1.4575352656568587e+08 1.4498240418351090e+08 1.4411839763178086e+08 1.4315164546682680e+08 1.4208415206885153e+08 1.4089626382164633e+08 1.3959247713992009e+08 1.3817580786972234e+08 1.3665736761810374e+08 1.3505606205073598e+08 1.3340787605269158e+08 1.3176624033561113e+08 1.3021949695214476e+08 1.2887701471481851e+08 1.2791188454876527e+08 1.2756456881746912e+08 1.2818493997869761e+08 1.3028173629124269e+08 1.3462591408767301e+08 1.4243783532047215e+08 1.5577502247509822e+08 3.9200617329832725e+07 +8.2728909636544756e+00 3.4573189372182715e+08 3.4569824831022328e+08 3.4564151740220582e+08 3.4556733872661167e+08 3.4549347440797043e+08 3.4544755024039876e+08 3.4544183650307339e+08 3.4545544895545548e+08 3.4546702647294450e+08 3.4547187742103297e+08 3.4547200678557891e+08 3.4546717077235025e+08 3.4545614000737542e+08 3.4543789348635894e+08 3.4541149866307193e+08 3.4537570321214527e+08 3.4532903703939140e+08 3.4526987375763381e+08 3.4519632284666461e+08 3.4510610477745938e+08 3.4499651730464584e+08 3.4486422852171159e+08 3.4470414585048914e+08 3.4450740604625446e+08 3.4426691409622467e+08 3.4397954101025397e+08 3.4363863847730500e+08 3.4323487194696480e+08 3.4275730545616722e+08 3.4219312756939137e+08 3.4152734324613464e+08 3.4074241701761472e+08 3.3981788546344751e+08 3.3872994503652775e+08 3.3745104280512947e+08 3.3594943279039806e+08 3.3418883570617616e+08 3.3212819935625297e+08 3.2972174892654538e+08 3.2691935417332101e+08 3.2340585870427346e+08 3.1930541555769932e+08 3.1455222173628891e+08 3.0908895977824664e+08 3.0287500238603956e+08 2.9589612440263122e+08 2.8817448335388559e+08 2.7977676372671038e+08 2.7081813045603943e+08 2.6145769669330329e+08 2.5188670246854970e+08 2.4231713490116665e+08 2.3296168882055151e+08 2.2399626965754125e+08 2.1555717419945335e+08 2.0773912941122958e+08 2.0058861633096161e+08 1.9411621369547775e+08 1.8830226902625594e+08 1.8311587136035252e+08 1.7850922908554560e+08 1.7443950595190495e+08 1.7085511921673316e+08 1.6771875473486474e+08 1.6498598241521215e+08 1.6261796661401805e+08 1.6058473713501912e+08 1.5885120410020846e+08 1.5738305322308224e+08 1.5615597587118164e+08 1.5513735977981827e+08 1.5430556146500072e+08 1.5363418585492736e+08 1.5310164690402725e+08 1.5267735846346328e+08 1.5233089373405731e+08 1.5204110133708030e+08 1.5178700765095517e+08 1.5154663223855284e+08 1.5137633369714665e+08 1.5120431563176966e+08 1.5102876929028937e+08 1.5084489157877606e+08 1.5065519974635741e+08 1.5045411067494404e+08 1.5024905188747969e+08 1.5002076463647208e+08 1.4977645046108335e+08 1.4951161413151029e+08 1.4922274544937071e+08 1.4890557890776795e+08 1.4855530933229619e+08 1.4816490130322564e+08 1.4773585526818246e+08 1.4725095580804700e+08 1.4670730187967840e+08 1.4609700545085004e+08 1.4541157769989103e+08 1.4464226449677479e+08 1.4378028503595209e+08 1.4281580132811955e+08 1.4175081147243220e+08 1.4056571016883600e+08 1.3926498233669218e+08 1.3785163674674490e+08 1.3633675893738380e+08 1.3473921022027636e+08 1.3309489105749673e+08 1.3145710710101846e+08 1.2991399169656342e+08 1.2857465909650426e+08 1.2761179327014811e+08 1.2726529272217955e+08 1.2788420851777372e+08 1.2997608551249671e+08 1.3431007146404353e+08 1.4210366569869813e+08 1.5540956159580049e+08 3.9076650121708669e+07 +8.2778592864287344e+00 3.4524381372481096e+08 3.4521021389209980e+08 3.4515355765429878e+08 3.4507947497575164e+08 3.4500569884684879e+08 3.4495981388648999e+08 3.4495407395680535e+08 3.4496762463905853e+08 3.4497913421196669e+08 3.4498391539185870e+08 3.4498396788256562e+08 3.4497904596243918e+08 3.4496791920608389e+08 3.4494956473675621e+08 3.4492304753984153e+08 3.4488711264089972e+08 3.4484028666271991e+08 3.4478093913747460e+08 3.4470717469221359e+08 3.4461670821097744e+08 3.4450683100026369e+08 3.4437420376888549e+08 3.4421372530018145e+08 3.4401651789427656e+08 3.4377546242589104e+08 3.4348741567522442e+08 3.4314572308528280e+08 3.4274103695214111e+08 3.4226240335144591e+08 3.4169699079388076e+08 3.4102978280159420e+08 3.4024322163556612e+08 3.3931682157280076e+08 3.3822675792218864e+08 3.3694545945113105e+08 3.3544116713407969e+08 3.3367759703594416e+08 3.3161370481398791e+08 3.2920374100584859e+08 3.2639762422779888e+08 3.2287998773460138e+08 3.1877539924453461e+08 3.1401825679142374e+08 3.0855150292891365e+08 3.0233482427562553e+08 2.9535434678821570e+08 2.8763258558824301e+08 2.7923654536768341e+08 2.7028162201672417e+08 2.6092702551281890e+08 2.5136393055914927e+08 2.4180407638297373e+08 2.3245975401744053e+08 2.2350640854320714e+08 2.1507985479619673e+08 2.0727436594226977e+08 2.0013605789806250e+08 1.9367523844626155e+08 1.8787208675191998e+08 1.8269558814093125e+08 1.7809792795124826e+08 1.7403626729708254e+08 1.7045907037651816e+08 1.6732905420866108e+08 1.6460185363625097e+08 1.6223869498791721e+08 1.6020965520173505e+08 1.5847971129985350e+08 1.5701461640460446e+08 1.5579010745083347e+08 1.5477364094714206e+08 1.5394361362351707e+08 1.5327368413192672e+08 1.5274230743588072e+08 1.5231895950317773e+08 1.5197327709899381e+08 1.5168414904610738e+08 1.5143064413655394e+08 1.5119083011604494e+08 1.5102093073079661e+08 1.5084931631225213e+08 1.5067418209502447e+08 1.5049073614117420e+08 1.5030148974047208e+08 1.5010087320013511e+08 1.4989629493857932e+08 1.4966854374271801e+08 1.4942480324992904e+08 1.4916058878427640e+08 1.4887239838848221e+08 1.4855597657023019e+08 1.4820652943661112e+08 1.4781703841509193e+08 1.4738899879596648e+08 1.4690523786214072e+08 1.4636286040317997e+08 1.4575399690641895e+08 1.4507017848040539e+08 1.4430267154798400e+08 1.4344271591949180e+08 1.4248049702051046e+08 1.4141800668714967e+08 1.4023568784719372e+08 1.3893801394749293e+08 1.3752798669495434e+08 1.3601666560123986e+08 1.3442286769533190e+08 1.3278240915189217e+08 1.3114847076313579e+08 1.2960897750989169e+08 1.2827278948405896e+08 1.2731218435734536e+08 1.2696649768080196e+08 1.2758396044956848e+08 1.2967092603428964e+08 1.3399473652360487e+08 1.4177003321689102e+08 1.5504468815952107e+08 3.8953033043410413e+07 +8.2828276092029931e+00 3.4475547503189528e+08 3.4472192147105986e+08 3.4466534038387620e+08 3.4459135370431817e+08 3.4451766582672513e+08 3.4447182020756280e+08 3.4446605421179789e+08 3.4447954325008607e+08 3.4449098503496939e+08 3.4449569664968789e+08 3.4449567251863879e+08 3.4449066499766701e+08 3.4447944262610155e+08 3.4446098066214556e+08 3.4443434163645339e+08 3.4439826794297063e+08 3.4435128293841165e+08 3.4429175209793419e+08 3.4421777522209448e+08 3.4412706163876390e+08 3.4401689624333811e+08 3.4388393240306461e+08 3.4372306032028985e+08 3.4352538793723691e+08 3.4328377213790053e+08 3.4299505553970176e+08 3.4265257740201801e+08 3.4224697696895289e+08 3.4176728248201621e+08 3.4120064254864198e+08 3.4053201942345470e+08 3.3974383329040670e+08 3.3881557634103483e+08 3.3772340298395872e+08 3.3643972395236915e+08 3.3493276746435302e+08 3.3316624524302644e+08 3.3109912111523199e+08 3.2868567128251261e+08 3.2587586350678545e+08 3.2235412368479776e+08 3.1824543221883893e+08 3.1348438814904791e+08 3.0801419374523813e+08 3.0179484889583397e+08 2.9481282961715788e+08 2.8709100714822310e+08 2.7869670454753041e+08 2.6974554660905230e+08 2.6039683810126856e+08 2.5084168664540797e+08 2.4129158239237344e+08 2.3195841212281880e+08 2.2301716076296237e+08 2.1460316199059916e+08 2.0681023636155775e+08 1.9968413599134430e+08 1.9323489898731866e+08 1.8744253725268504e+08 1.8227593330451709e+08 1.7768725006876749e+08 1.7363364651000991e+08 1.7006363405256853e+08 1.6693996111327136e+08 1.6421832756683174e+08 1.6186002176905105e+08 1.5983516783906180e+08 1.5810880967555475e+08 1.5664676777203855e+08 1.5542482461830518e+08 1.5441050542804199e+08 1.5358224713432688e+08 1.5291376206860355e+08 1.5238354618574035e+08 1.5196113751762733e+08 1.5161623633053792e+08 1.5132777163011369e+08 1.5107485458655220e+08 1.5083560106825644e+08 1.5066610019950649e+08 1.5049488877889481e+08 1.5032016602221492e+08 1.5013715113030288e+08 1.4994834944373310e+08 1.4974820467125690e+08 1.4954410616590413e+08 1.4931689016138944e+08 1.4907372242682710e+08 1.4881012882304198e+08 1.4852261562077254e+08 1.4820693732601917e+08 1.4785831130935928e+08 1.4746973581632856e+08 1.4704270099628007e+08 1.4656007675469872e+08 1.4601897370887595e+08 1.4541154083596554e+08 1.4472932914237970e+08 1.4396362557105109e+08 1.4310569051475155e+08 1.4214573277500239e+08 1.4108573794199175e+08 1.3990619708383781e+08 1.3861157219727302e+08 1.3720485793708980e+08 1.3569708783007208e+08 1.3410703469379455e+08 1.3247043055121319e+08 1.3084033153453195e+08 1.2930445460215756e+08 1.2797140608520992e+08 1.2701305801659863e+08 1.2666818389893118e+08 1.2728419598096009e+08 1.2936625806654668e+08 1.3367990948331578e+08 1.4143693810490650e+08 1.5468040241762066e+08 3.8829765302049644e+07 +8.2877959319772518e+00 3.4426688214148194e+08 3.4423337593437827e+08 3.4417687082465494e+08 3.4410297952821821e+08 3.4402937995423287e+08 3.4398357383429784e+08 3.4397778189599001e+08 3.4399120941651684e+08 3.4400258357037449e+08 3.4400722582253706e+08 3.4400712532130337e+08 3.4400203250505054e+08 3.4399071489455914e+08 3.4397214588919353e+08 3.4394538557912993e+08 3.4390917374354059e+08 3.4386203049123776e+08 3.4380231726262879e+08 3.4372812905804986e+08 3.4363716968130243e+08 3.4352671765242261e+08 3.4339341904006273e+08 3.4323215552303362e+08 3.4303402078403598e+08 3.4279184783631325e+08 3.4250246520287174e+08 3.4215920602037364e+08 3.4175269658150786e+08 3.4127194742324185e+08 3.4070408739724845e+08 3.4003405766169661e+08 3.3924425651567590e+08 3.3831415428330815e+08 3.3721988471417475e+08 3.3593384077392405e+08 3.3442423821351367e+08 3.3265478472006637e+08 3.3058445260576129e+08 3.2816754404572797e+08 3.2535407623143125e+08 3.2182827068771392e+08 3.1771551850803500e+08 3.1295061970964575e+08 3.0747703597815484e+08 3.0125507982345378e+08 2.9427157626368362e+08 2.8654975118144220e+08 2.7815724416494870e+08 2.6920990686629647e+08 2.5986713681779784e+08 2.5031997281288341e+08 2.4077965475139734e+08 2.3145766471367651e+08 2.2252852767349359e+08 2.1412709694647983e+08 2.0634674166827694e+08 1.9923285147214633e+08 1.9279519606617275e+08 1.8701362118269882e+08 1.8185690742836279e+08 1.7727719595228684e+08 1.7323164405314639e+08 1.6966881066445255e+08 1.6655147583220822e+08 1.6383540456123209e+08 1.6148194728677237e+08 1.5946127535564190e+08 1.5773849951901835e+08 1.5627950760336414e+08 1.5506012764094320e+08 1.5404795348121300e+08 1.5322146224947503e+08 1.5255441991256431e+08 1.5202536339749646e+08 1.5160389274855798e+08 1.5125977166899449e+08 1.5097196932837257e+08 1.5071963923977631e+08 1.5048094533351976e+08 1.5031184234137651e+08 1.5014103326925644e+08 1.4996672130919579e+08 1.4978413678343827e+08 1.4959577909265727e+08 1.4939610532476771e+08 1.4919248580576274e+08 1.4896580412844169e+08 1.4872320822727937e+08 1.4846023448303056e+08 1.4817339738088658e+08 1.4785846140933162e+08 1.4751065518381992e+08 1.4712299373991022e+08 1.4669696210152397e+08 1.4621547271722591e+08 1.4567564202745673e+08 1.4506963746890530e+08 1.4438902991438314e+08 1.4362512679317659e+08 1.4276920904773006e+08 1.4181150881612104e+08 1.4075400546007916e+08 1.3957723809973502e+08 1.3828565730513352e+08 1.3688225068994701e+08 1.3537802583825013e+08 1.3379171142739065e+08 1.3215895546462280e+08 1.3053268962162976e+08 1.2900042317743616e+08 1.2767050910219136e+08 1.2671441444853698e+08 1.2637035157654786e+08 1.2698491531295556e+08 1.2906208181372772e+08 1.3336559055443664e+08 1.4110438058609486e+08 1.5431670461422905e+08 3.8706846105569541e+07 +8.2927642547515106e+00 3.4377804510858923e+08 3.4374458062600148e+08 3.4368815328761244e+08 3.4361435699993014e+08 3.4354084582530606e+08 3.4349507938286114e+08 3.4348926162119532e+08 3.4350262775126898e+08 3.4351393443077737e+08 3.4351850752237850e+08 3.4351833090286237e+08 3.4351315309705997e+08 3.4350174062313533e+08 3.4348306502951229e+08 3.4345618397853220e+08 3.4341983465252560e+08 3.4337253393019205e+08 3.4331263923887378e+08 3.4323824080686533e+08 3.4314703694305682e+08 3.4303629982981056e+08 3.4290266827970594e+08 3.4274101550575620e+08 3.4254242102792722e+08 3.4229969411004412e+08 3.4200964924758226e+08 3.4166561351610982e+08 3.4125820035824108e+08 3.4077640273381692e+08 3.4020732988759321e+08 3.3953590205066937e+08 3.3874449582999724e+08 3.3781255989859110e+08 3.3671620758851689e+08 3.3542781436412168e+08 3.3391558379688281e+08 3.3214321984350342e+08 3.3006970361463153e+08 3.2764936356717616e+08 3.2483226660567176e+08 3.2130243285914505e+08 3.1718566212266362e+08 3.1241695535681188e+08 3.0694003336179119e+08 3.0071552061586201e+08 2.9373059008498698e+08 2.8600882081814820e+08 2.7761816710163742e+08 2.6867470540560734e+08 2.5933792400563553e+08 2.4979879113181424e+08 2.4026829526759920e+08 2.3095751335321215e+08 2.2204051061793295e+08 2.1365166081526333e+08 2.0588388285022619e+08 1.9878220519115156e+08 1.9235613042049146e+08 1.8658533918629691e+08 1.8143851108083141e+08 1.7686776610747817e+08 1.7283026038025874e+08 1.6927460062328461e+08 1.6616359874133793e+08 1.6345308496544099e+08 1.6110447186251134e+08 1.5908797805288547e+08 1.5736878111506298e+08 1.5591283616979179e+08 1.5469601677880117e+08 1.5368598535833767e+08 1.5286125921443936e+08 1.5219565790388927e+08 1.5166775930824122e+08 1.5124722543073475e+08 1.5090388334784675e+08 1.5061674237346721e+08 1.5036499832836854e+08 1.5012686314330411e+08 1.4995815738753024e+08 1.4978775001421356e+08 1.4961384818676597e+08 1.4943169333077857e+08 1.4924377891749740e+08 1.4904457539072868e+08 1.4884143408752871e+08 1.4861528587293428e+08 1.4837326088006994e+08 1.4811090599251959e+08 1.4782474389682332e+08 1.4751054904748461e+08 1.4716356128712496e+08 1.4677681241214803e+08 1.4635178233733001e+08 1.4587142597467059e+08 1.4533286558289072e+08 1.4472828702867797e+08 1.4404928101849681e+08 1.4328717543563265e+08 1.4243327173811948e+08 1.4147782536197922e+08 1.4042280945779034e+08 1.3924881110962060e+08 1.3796026948367384e+08 1.3656016516410583e+08 1.3505947983394670e+08 1.3347689810204729e+08 1.3184798409539104e+08 1.3022554522567032e+08 1.2869688343428138e+08 1.2737009873137729e+08 1.2641625384820530e+08 1.2607300090833792e+08 1.2668611864090396e+08 1.2875839747439049e+08 1.3305177994203712e+08 1.4077236087756914e+08 1.5395359498678491e+08 3.8584274662749588e+07 +8.2977325775257693e+00 3.4328896108399105e+08 3.4325554223768425e+08 3.4319919160811734e+08 3.4312549073458564e+08 3.4305206802388579e+08 3.4300634145309138e+08 3.4300049798368770e+08 3.4301380285078442e+08 3.4302504221285683e+08 3.4302954634556675e+08 3.4302929385989630e+08 3.4302403137021816e+08 3.4301252440827453e+08 3.4299374267860645e+08 3.4296674142983043e+08 3.4293025526427311e+08 3.4288279784871095e+08 3.4282272261961329e+08 3.4274811505921185e+08 3.4265666801335996e+08 3.4254564736235380e+08 3.4241168470648396e+08 3.4224964484966636e+08 3.4205059324676663e+08 3.4180731553198075e+08 3.4151661224079573e+08 3.4117180445018280e+08 3.4076349285185236e+08 3.4028065295705414e+08 3.3971037455166686e+08 3.3903755710860223e+08 3.3824455573540306e+08 3.3731079766964626e+08 3.3621237606709290e+08 3.3492164915557456e+08 3.3340680861364108e+08 3.3163155497243094e+08 3.2955487845332474e+08 3.2713113410199314e+08 3.2431043881628394e+08 3.2077661429872268e+08 3.1665586705544370e+08 3.1188339895699328e+08 3.0640318961154377e+08 3.0017617481473136e+08 2.9318987442026770e+08 2.8546821917157435e+08 2.7707947622242582e+08 2.6813994482652062e+08 2.5880920199154061e+08 2.4927814365700901e+08 2.3975750573390937e+08 2.3045795959097090e+08 2.2155311092720309e+08 2.1317685473619190e+08 2.0542166088380352e+08 1.9833219798864722e+08 1.9191770277754945e+08 1.8615769189842707e+08 1.8102074482094806e+08 1.7645896103125042e+08 1.7242949593688330e+08 1.6888100433224237e+08 1.6577633020862287e+08 1.6307136911822200e+08 1.6072759581098095e+08 1.5871527622508630e+08 1.5699965474120542e+08 1.5554675373548609e+08 1.5433249228532153e+08 1.5332460130409616e+08 1.5250163826725659e+08 1.5183747627635553e+08 1.5131073414847118e+08 1.5089113579252294e+08 1.5054857159376121e+08 1.5026209099123892e+08 1.5001093207727709e+08 1.4977335472236943e+08 1.4960504556252763e+08 1.4943503923824510e+08 1.4926154687883779e+08 1.4907982099626282e+08 1.4889234914192513e+08 1.4869361509209689e+08 1.4849095123420709e+08 1.4826533561749285e+08 1.4802388060735935e+08 1.4776214357324645e+08 1.4747665538979518e+08 1.4716320046151862e+08 1.4681702983962241e+08 1.4643119205293599e+08 1.4600716192286468e+08 1.4552793674549302e+08 1.4499064459284529e+08 1.4438748973176926e+08 1.4371008267050728e+08 1.4294977171265990e+08 1.4209787879925299e+08 1.4114468262442797e+08 1.4009215014522567e+08 1.3892091632200712e+08 1.3763540893967396e+08 1.3623860156403923e+08 1.3474145001958528e+08 1.3316259491750255e+08 1.3153751664109775e+08 1.2991889854136516e+08 1.2839383556537281e+08 1.2707017516346805e+08 1.2611857640474600e+08 1.2577613208283915e+08 1.2638780615457188e+08 1.2845520524124917e+08 1.3273847784546548e+08 1.4044087919018739e+08 1.5359107376590949e+08 3.8462050183209985e+07 +8.3027009003000281e+00 3.4279963679623902e+08 3.4276626450742042e+08 3.4270999009600854e+08 3.4263638527659023e+08 3.4256305112846857e+08 3.4251736462978727e+08 3.4251149556339765e+08 3.4252473929638755e+08 3.4253591149845397e+08 3.4254034687342727e+08 3.4254001877366120e+08 3.4253467190524983e+08 3.4252307083037537e+08 3.4250418341661936e+08 3.4247706251283759e+08 3.4244044015790218e+08 3.4239282682476532e+08 3.4233257198138899e+08 3.4225775639049375e+08 3.4216606746558154e+08 3.4205476482173598e+08 3.4192047288942856e+08 3.4175804812062544e+08 3.4155854200202137e+08 3.4131471665900511e+08 3.4102335873448873e+08 3.4067778336717927e+08 3.4026857859891737e+08 3.3978470261997318e+08 3.3921322590487587e+08 3.3853902733762050e+08 3.3774444071798015e+08 3.3680887206336969e+08 3.3570839459358615e+08 3.3441534956368411e+08 3.3289791704683471e+08 3.3111979444995058e+08 3.2903998141739517e+08 3.2661285988853657e+08 3.2378859703284013e+08 3.2025081908759511e+08 3.1612613728199059e+08 3.1134995435876036e+08 3.0586650842647940e+08 2.9963704594277900e+08 2.9264943259186584e+08 2.8492794933732522e+08 2.7654117437490904e+08 2.6760562771291393e+08 2.5828097308683082e+08 2.4875803242800999e+08 2.3924728792888337e+08 2.2995900496271619e+08 2.2106632991909847e+08 2.1270267983702320e+08 2.0496007673427215e+08 1.9788283069396707e+08 1.9147991385486716e+08 1.8573067994448400e+08 1.8060360919881409e+08 1.7605078121163982e+08 1.7202935116045800e+08 1.6848802218648565e+08 1.6538967059424558e+08 1.6269025735079336e+08 1.6035131943884927e+08 1.5834317015895969e+08 1.5663112066791955e+08 1.5518126055729443e+08 1.5396955440662831e+08 1.5296380155656642e+08 1.5214259963980034e+08 1.5147987525694606e+08 1.5095428814178160e+08 1.5053562405525997e+08 1.5019383662699288e+08 1.4990801540087384e+08 1.4965744070541438e+08 1.4942042028895780e+08 1.4925250708435249e+08 1.4908290115907362e+08 1.4890981760280135e+08 1.4872851999695215e+08 1.4854148998255786e+08 1.4834322464566809e+08 1.4814103746186861e+08 1.4791595357794648e+08 1.4767506762469763e+08 1.4741394744055748e+08 1.4712913207476455e+08 1.4681641586562103e+08 1.4647106105514264e+08 1.4608613287557155e+08 1.4566310107082671e+08 1.4518500524164531e+08 1.4464897926857758e+08 1.4404724578867200e+08 1.4337143507967013e+08 1.4261291583262867e+08 1.4176303043798152e+08 1.4081208080913323e+08 1.3976202772673401e+08 1.3859355393923986e+08 1.3731107587328458e+08 1.3591756008830792e+08 1.3442393659121069e+08 1.3284880206780846e+08 1.3122755329313029e+08 1.2961274975794464e+08 1.2809127975775991e+08 1.2677073858354358e+08 1.2582138230192797e+08 1.2547974528342496e+08 1.2608997803797778e+08 1.2815250530149184e+08 1.3242568445791060e+08 1.4010993572841033e+08 1.5322914117512026e+08 3.8340171877416417e+07 +8.3076692230742868e+00 3.4231008046506679e+08 3.4227675530259657e+08 3.4222055382024270e+08 3.4214704513975292e+08 3.4207379971948016e+08 3.4202815348228210e+08 3.4202225892458850e+08 3.4203544165341926e+08 3.4204654685311460e+08 3.4205091367145938e+08 3.4205051020955992e+08 3.4204507926784623e+08 3.4203338445458734e+08 3.4201439180849326e+08 3.4198715179137331e+08 3.4195039389644527e+08 3.4190262542062908e+08 3.4184219188519430e+08 3.4176716936038399e+08 3.4167523985778117e+08 3.4156365676393187e+08 3.4142903738162869e+08 3.4126622986850220e+08 3.4106627184013623e+08 3.4082190203270280e+08 3.4052989326434767e+08 3.4018355479639131e+08 3.3977346212104636e+08 3.3928855623414427e+08 3.3871588844750160e+08 3.3804031722441715e+08 3.3724415524785787e+08 3.3630678753046924e+08 3.3520426759521538e+08 3.3390891998869461e+08 3.3238891346263778e+08 3.3060794260300219e+08 3.2852501678565639e+08 3.2609454514818496e+08 3.2326674540894800e+08 3.1972505129058701e+08 3.1559647676049215e+08 3.1081662539353794e+08 3.0532999348785532e+08 2.9909813750633150e+08 2.9210926790428954e+08 2.8438801439443463e+08 2.7600326439016181e+08 2.6707175663186479e+08 2.5775323958691928e+08 2.4823845946938556e+08 2.3873764361633727e+08 2.2946065099089786e+08 2.2058016889834145e+08 2.1222913723298037e+08 2.0449913135557774e+08 1.9743410412638527e+08 1.9104276435991117e+08 1.8530430394063088e+08 1.8018710475539249e+08 1.7564322712849879e+08 1.7162982648005381e+08 1.6809565457331300e+08 1.6500362025069720e+08 1.6230974998667493e+08 1.5997564304575676e+08 1.5797166013436550e+08 1.5626317915849474e+08 1.5481635688526025e+08 1.5360720338213497e+08 1.5260358634666508e+08 1.5178414355646858e+08 1.5112285506577855e+08 1.5059842150487837e+08 1.5018069043375477e+08 1.4983967866082436e+08 1.4955451581494007e+08 1.4930452442442101e+08 1.4906806005461293e+08 1.4890054216432780e+08 1.4873133598752469e+08 1.4855866056960782e+08 1.4837779054335782e+08 1.4819120164968914e+08 1.4799340426121822e+08 1.4779169298042053e+08 1.4756713996371245e+08 1.4732682214127055e+08 1.4706631780307490e+08 1.4678217415988407e+08 1.4647019546774182e+08 1.4612565514098173e+08 1.4574163508674550e+08 1.4531959998719299e+08 1.4484263166853279e+08 1.4430786981471440e+08 1.4370755540312845e+08 1.4303333844903126e+08 1.4227660799731937e+08 1.4142872685513878e+08 1.4048002011537811e+08 1.3943244239995357e+08 1.3826672415738809e+08 1.3698727047921202e+08 1.3559704092909291e+08 1.3410693973931013e+08 1.3253551974106219e+08 1.3091809423739262e+08 1.2930709905916843e+08 1.2778921619268899e+08 1.2647178917105846e+08 1.2552467171773642e+08 1.2518384068770222e+08 1.2579263446963613e+08 1.2785029783652806e+08 1.3211339996701068e+08 1.3977953069064659e+08 1.5286779743144336e+08 3.8218638956684545e+07 +8.3126375458485455e+00 3.4182029187792587e+08 3.4178701352945995e+08 3.4173088765311962e+08 3.4165747494635957e+08 3.4158431838091177e+08 3.4153871256253010e+08 3.4153279261568248e+08 3.4154591447210813e+08 3.4155695282765418e+08 3.4156125128981513e+08 3.4156077271763641e+08 3.4155525800813091e+08 3.4154346983081400e+08 3.4152437240329915e+08 3.4149701381431824e+08 3.4146012102796090e+08 3.4141219818333673e+08 3.4135158687700766e+08 3.4127635851301253e+08 3.4118418973234272e+08 3.4107232772853559e+08 3.4093738272064835e+08 3.4077419462789506e+08 3.4057378729159242e+08 3.4032887617941844e+08 3.4003622035071021e+08 3.3968912325123364e+08 3.3927814792332286e+08 3.3879221829554963e+08 3.3821836666379875e+08 3.3754143123967564e+08 3.3674370377940613e+08 3.3580454850576425e+08 3.3469999948364866e+08 3.3340236481396228e+08 3.3187980221103954e+08 3.3009600374125469e+08 3.2800998882009262e+08 3.2557619408556437e+08 3.2274488808065695e+08 3.1919931495511502e+08 3.1506688943234462e+08 3.1028341587547064e+08 3.0479364845908487e+08 2.9855945299349236e+08 2.9156938364467376e+08 2.8384841740378511e+08 2.7546574908190662e+08 2.6653833413421971e+08 2.5722600377077478e+08 2.4771942679054329e+08 2.3822857454632935e+08 2.2896289918422613e+08 2.2009462915739453e+08 2.1175622802760544e+08 2.0403882569058570e+08 1.9698601909417605e+08 1.9060625499025899e+08 1.8487856449335095e+08 1.7977123202302757e+08 1.7523629925272390e+08 1.7123092231638390e+08 1.6770390187190104e+08 1.6461817952264971e+08 1.6192984734185582e+08 1.5960056692411587e+08 1.5760074642375371e+08 1.5589583046933693e+08 1.5445204296261099e+08 1.5324543944430205e+08 1.5224395589871538e+08 1.5142627023555630e+08 1.5076641591610682e+08 1.5024313444820568e+08 1.4982633513578498e+08 1.4948609790190864e+08 1.4920159243921807e+08 1.4895218343980315e+08 1.4871627422420987e+08 1.4854915100700971e+08 1.4838034392813602e+08 1.4820807598332712e+08 1.4802763283945215e+08 1.4784148434720454e+08 1.4764415414235213e+08 1.4744291799291003e+08 1.4721889497765812e+08 1.4697914435940638e+08 1.4671925486285135e+08 1.4643578184697247e+08 1.4612453946918583e+08 1.4578081229799417e+08 1.4539769888684860e+08 1.4497665887198898e+08 1.4450081622534925e+08 1.4396731642962945e+08 1.4336841877277416e+08 1.4269579297504947e+08 1.4194084840233251e+08 1.4109496824497706e+08 1.4014850073630321e+08 1.3910339435654131e+08 1.3794042716663587e+08 1.3666399294545180e+08 1.3527704427284530e+08 1.3379045964797413e+08 1.3222274811922744e+08 1.3060913965383384e+08 1.2900194662240916e+08 1.2748764504582880e+08 1.2617332709980321e+08 1.2522844482495473e+08 1.2488841846764250e+08 1.2549577562243949e+08 1.2754858302202347e+08 1.3180162455416843e+08 1.3944966426903811e+08 1.5250704274479166e+08 3.8097450633184478e+07 +8.3176058686228043e+00 3.4133028038887078e+08 3.4129704321724850e+08 3.4124099597186875e+08 3.4116767937547600e+08 3.4109461169475490e+08 3.4104904640667921e+08 3.4104310116960233e+08 3.4105616228629071e+08 3.4106713395673239e+08 3.4107136426278079e+08 3.4107081083267778e+08 3.4106521266047078e+08 3.4105333149263197e+08 3.4103412973467779e+08 3.4100665311438835e+08 3.4096962608461589e+08 3.4092154964422017e+08 3.4086076148680359e+08 3.4078532837730128e+08 3.4069292161619204e+08 3.4058078224069798e+08 3.4044551342847663e+08 3.4028194691773796e+08 3.4008109287171644e+08 3.3983564360919887e+08 3.3954234449807274e+08 3.3919449322928274e+08 3.3878264049528944e+08 3.3829569328384960e+08 3.3772066502217299e+08 3.3704237383792514e+08 3.3624309075096369e+08 3.3530215940768409e+08 3.3419559465376246e+08 3.3289568840620965e+08 3.3137058762599331e+08 3.2958398215817350e+08 3.2749490176639944e+08 3.2505781088889825e+08 3.2222302916695619e+08 3.1867361411199331e+08 3.1453737922133583e+08 3.0975032960086751e+08 3.0425747698682803e+08 2.9802099587495059e+08 2.9102978308356470e+08 2.8330916140989071e+08 2.7492863124768615e+08 2.6600536275414854e+08 2.5669926790266293e+08 2.4720093638547102e+08 2.3772008245402864e+08 2.2846575103792444e+08 2.1960971197616583e+08 2.1128395331265953e+08 2.0357916067080063e+08 1.9653857639524347e+08 1.9017038643352270e+08 1.8445346220009387e+08 1.7935599152497888e+08 1.7482999804696113e+08 1.7083263908193809e+08 1.6731276445362821e+08 1.6423334874715233e+08 1.6155054972503939e+08 1.5922609135870746e+08 1.5723042929228204e+08 1.5552907484943217e+08 1.5408831902543136e+08 1.5288426281892997e+08 1.5188491043016922e+08 1.5106897988822085e+08 1.5041055801475209e+08 1.4988842717524347e+08 1.4947255836322001e+08 1.4913309455034330e+08 1.4884924547318032e+08 1.4860041795039454e+08 1.4836506299616599e+08 1.4819833381058404e+08 1.4802992517876175e+08 1.4785806404163399e+08 1.4767804708266005e+08 1.4749233827215534e+08 1.4729547448589772e+08 1.4709471269584915e+08 1.4687121881603914e+08 1.4663203447519097e+08 1.4637275881560346e+08 1.4608995533128247e+08 1.4577944806474963e+08 1.4543653272064516e+08 1.4505432446981621e+08 1.4463427791836545e+08 1.4415955910483044e+08 1.4362731930542269e+08 1.4302983608877730e+08 1.4235879884797084e+08 1.4160563723707280e+08 1.4076175479568061e+08 1.3981752285877508e+08 1.3877488378207582e+08 1.3761466315086460e+08 1.3634124345438811e+08 1.3495757029996949e+08 1.3347449649573836e+08 1.3191048737887837e+08 1.3030068971640387e+08 1.2869729261990145e+08 1.2718656648716189e+08 1.2587535253808412e+08 1.2493270179026005e+08 1.2459347878984122e+08 1.2519940166378619e+08 1.2724736102810624e+08 1.3149035839518277e+08 1.3912033664946088e+08 1.5214687731872869e+08 3.7976606119945273e+07 +8.3225741913970630e+00 3.4084004545573616e+08 3.4080685617113733e+08 3.4075088331659400e+08 3.4067766304732907e+08 3.4060468422337526e+08 3.4055915953267366e+08 3.4055318910305804e+08 3.4056618961501706e+08 3.4057709475991488e+08 3.4058125710979515e+08 3.4058062907340670e+08 3.4057494774389422e+08 3.4056297395933247e+08 3.4054366832074255e+08 3.4051607420987576e+08 3.4047891358353615e+08 3.4043068431900197e+08 3.4036972022930938e+08 3.4029408346593016e+08 3.4020144002052915e+08 3.4008902480963248e+08 3.3995343401201892e+08 3.3978949124106103e+08 3.3958819307956123e+08 3.3934220881628853e+08 3.3904827019548655e+08 3.3869966921308559e+08 3.3828694431093329e+08 3.3779898566307080e+08 3.3722278797536522e+08 3.3654314945764434e+08 3.3574232058449435e+08 3.3479962463893449e+08 3.3369105748497069e+08 3.3238889511681521e+08 3.3086127402469158e+08 3.2907188213112694e+08 3.2697975985315734e+08 3.2453939972907430e+08 3.2170117276994717e+08 3.1814795277460784e+08 3.1400795003431696e+08 3.0921737034950292e+08 3.0372148269985336e+08 2.9748276960500866e+08 2.9049046947313172e+08 2.8277024943981314e+08 2.7439191366771930e+08 2.6547284500994048e+08 2.5617303423008883e+08 2.4668299023355386e+08 2.3721216906070447e+08 2.2796920803369901e+08 2.1912541862134019e+08 2.1081231416787145e+08 2.0312013721708214e+08 1.9609177681738412e+08 1.8973515936794758e+08 1.8402899764876646e+08 1.7894138377556935e+08 1.7442432396531910e+08 1.7043497718143174e+08 1.6692224268182901e+08 1.6384912825392759e+08 1.6117185743736815e+08 1.5885221662746477e+08 1.5686070899860728e+08 1.5516291254123336e+08 1.5372518530288482e+08 1.5252367372468391e+08 1.5152645015175873e+08 1.5071227271882561e+08 1.5005528156180954e+08 1.4953429988289204e+08 1.4911936031067523e+08 1.4878066879991293e+08 1.4849747510943204e+08 1.4824922814821100e+08 1.4801442656238341e+08 1.4784809076652360e+08 1.4768007993080106e+08 1.4750862493568882e+08 1.4732903346385139e+08 1.4714376361514178e+08 1.4694736548228928e+08 1.4674707727948484e+08 1.4652411166874239e+08 1.4628549267809352e+08 1.4602682985063174e+08 1.4574469480156764e+08 1.4543492144295123e+08 1.4509281659688437e+08 1.4471151202311227e+08 1.4429245731325972e+08 1.4381886049312460e+08 1.4328787862764132e+08 1.4269180753597313e+08 1.4202235625200698e+08 1.4127097468438888e+08 1.4042908668928400e+08 1.3948708666353253e+08 1.3844691085578659e+08 1.3728943228791445e+08 1.3601902218227336e+08 1.3463861918489650e+08 1.3315905045520021e+08 1.3159873769037646e+08 1.2999274459390533e+08 1.2839313721804312e+08 1.2688598068114246e+08 1.2557786564849925e+08 1.2463744277529927e+08 1.2429902181535061e+08 1.2490351275539362e+08 1.2694663201927945e+08 1.3117960166011855e+08 1.3879154801184472e+08 1.5178730134971836e+08 3.7856104630859412e+07 +8.3275425141713217e+00 3.4034959325453454e+08 3.4031645195846492e+08 3.4026055419462436e+08 3.4018743051336724e+08 3.4011454049034780e+08 3.4006905644009727e+08 3.4006306091788113e+08 3.4007600096082139e+08 3.4008683974113184e+08 3.4009093433451235e+08 3.4009023194387048e+08 3.4008446776215446e+08 3.4007240173349464e+08 3.4005299266439509e+08 3.4002528160213369e+08 3.3998798802557069e+08 3.3993960670820868e+08 3.3987846760332924e+08 3.3980262827687937e+08 3.3970974944119835e+08 3.3959705992848587e+08 3.3946114896145868e+08 3.3929683208617389e+08 3.3909509239931548e+08 3.3884857628018743e+08 3.3855400191601717e+08 3.3820465566847378e+08 3.3779106382817775e+08 3.3730209988216114e+08 3.3672473995975232e+08 3.3604376252188164e+08 3.3524139768603969e+08 3.3429694858591747e+08 3.3318639233999854e+08 3.3188198928040349e+08 3.3035186570810711e+08 3.2855970792044944e+08 3.2646456729255557e+08 3.2402096476053852e+08 3.2117932297538638e+08 3.1762233493943602e+08 3.1347860576091117e+08 3.0868454188336658e+08 3.0318566920980656e+08 2.9694477761973125e+08 2.8995144604886961e+08 2.8223168450383455e+08 2.7385559910569453e+08 2.6494078340319294e+08 2.5564730498538080e+08 2.4616559029892036e+08 2.3670483607314017e+08 2.2747327164009482e+08 2.1864175034744182e+08 2.1034131166139364e+08 2.0266175623889664e+08 1.9564562113782799e+08 1.8930057446121436e+08 1.8360517141807744e+08 1.7852740928042164e+08 1.7401927745368144e+08 1.7003793701101622e+08 1.6653233691227502e+08 1.6346551836439016e+08 1.6079377077268094e+08 1.5847894300044206e+08 1.5649158579351684e+08 1.5479734377999547e+08 1.5336264201726609e+08 1.5216367237383819e+08 1.5116857526750353e+08 1.5035614892556700e+08 1.4970058675076756e+08 1.4918075276165402e+08 1.4876674116646007e+08 1.4842882083737847e+08 1.4814628153423819e+08 1.4789861421903685e+08 1.4766436510774270e+08 1.4749842205996802e+08 1.4733080836896425e+08 1.4715975884998298e+08 1.4698059216751412e+08 1.4679576056030813e+08 1.4659982731544960e+08 1.4640001192743772e+08 1.4617757371909606e+08 1.4593951915127632e+08 1.4568146815045437e+08 1.4540000044039688e+08 1.4509095978570917e+08 1.4474966410829675e+08 1.4436926172788623e+08 1.4395119723726296e+08 1.4347872057034367e+08 1.4294899457568187e+08 1.4235433329290259e+08 1.4168646536479086e+08 1.4093686092116630e+08 1.4009696410145685e+08 1.3915719232527897e+08 1.3811947575100175e+08 1.3696473474967673e+08 1.3569732929928279e+08 1.3432019109612009e+08 1.3284412169291718e+08 1.3128749921844748e+08 1.2968530444874156e+08 1.2808948057745390e+08 1.2658588778633177e+08 1.2528086658832660e+08 1.2434266793605931e+08 1.2400504769976188e+08 1.2460810905376306e+08 1.2664639615434965e+08 1.3086935451316164e+08 1.3846329852993399e+08 1.5142831502785599e+08 3.7735945380687103e+07 +8.3325108369455805e+00 3.3985893175377947e+08 3.3982583360936445e+08 3.3977001321635753e+08 3.3969698620748401e+08 3.3962418496926075e+08 3.3957874161074501e+08 3.3957272110036820e+08 3.3958560081116295e+08 3.3959637338898039e+08 3.3960040042482263e+08 3.3959962393180543e+08 3.3959377720289737e+08 3.3958161930302548e+08 3.3956210725257534e+08 3.3953427977824241e+08 3.3949685389633811e+08 3.3944832129623103e+08 3.3938700809290969e+08 3.3931096729184693e+08 3.3921785435834301e+08 3.3910489207572812e+08 3.3896866275287646e+08 3.3880397392487973e+08 3.3860179529885656e+08 3.3835475046432871e+08 3.3805954411693627e+08 3.3770945704628271e+08 3.3729500348973989e+08 3.3680504037318397e+08 3.3622652539661425e+08 3.3554421743776894e+08 3.3474032644664037e+08 3.3379413561925733e+08 3.3268160356561601e+08 3.3137497521574908e+08 3.2984236696094221e+08 3.2804746377053958e+08 3.2594932828096080e+08 3.2350251012167555e+08 3.2065748385181010e+08 3.1709676458589220e+08 3.1294935027346116e+08 3.0815184794732100e+08 3.0265004011117363e+08 2.9640702333804947e+08 2.8941271602901757e+08 2.8169346959514636e+08 2.7331969030865258e+08 2.6440918041966516e+08 2.5512208238493153e+08 2.4564873853072593e+08 2.3619808518408787e+08 2.2697794331202975e+08 2.1815870839661458e+08 2.0987094684953618e+08 2.0220401863474602e+08 1.9520011012356180e+08 1.8886663237203044e+08 1.8318198407746574e+08 1.7811406853627977e+08 1.7361485894886065e+08 1.6964151895906553e+08 1.6614304749261567e+08 1.6308251939302319e+08 1.6041629001721039e+08 1.5810627074128893e+08 1.5612305992130974e+08 1.5443236879393747e+08 1.5300068938439238e+08 1.5180425897141269e+08 1.5081128597484496e+08 1.5000060869957584e+08 1.4934647376846930e+08 1.4882778599509236e+08 1.4841470111232895e+08 1.4807755084321585e+08 1.4779566492715347e+08 1.4754857634190583e+08 1.4731487881146371e+08 1.4714932786945236e+08 1.4698211067175642e+08 1.4681146596285060e+08 1.4663272337138817e+08 1.4644832928550467e+08 1.4625286016286361e+08 1.4605351681704557e+08 1.4583160514416099e+08 1.4559411407134980e+08 1.4533667389168707e+08 1.4505587242371503e+08 1.4474756326883990e+08 1.4440707543022463e+08 1.4402757375894690e+08 1.4361049786461601e+08 1.4313913951014131e+08 1.4261066732234865e+08 1.4201741353199717e+08 1.4135112635788894e+08 1.4060329611810762e+08 1.3976538720188019e+08 1.3882784001225352e+08 1.3779257863498896e+08 1.3664057070193282e+08 1.3537616496970418e+08 1.3400228619632192e+08 1.3252971036976691e+08 1.3097677212200160e+08 1.2937836943808886e+08 1.2778632285330354e+08 1.2628628795624785e+08 1.2498435550909372e+08 1.2404837742301944e+08 1.2371155659316608e+08 1.2431319070967029e+08 1.2634665358674540e+08 1.3055961711268161e+08 1.3813558837124491e+08 1.5106991853642049e+08 3.7616127585060664e+07 +8.3374791597198392e+00 3.3936806423301715e+08 3.3933501014719117e+08 3.3927926465410131e+08 3.3920633444575757e+08 3.3913362208955276e+08 3.3908821950969696e+08 3.3908217412166095e+08 3.3909499363808036e+08 3.3910570017586392e+08 3.3910965985363984e+08 3.3910880950975692e+08 3.3910288053936058e+08 3.3909063114004427e+08 3.3907101655707926e+08 3.3904307320873934e+08 3.3900551566683072e+08 3.3895683255268764e+08 3.3889534616562021e+08 3.3881910497764713e+08 3.3872575923667175e+08 3.3861252571341407e+08 3.3847597984568572e+08 3.3831092121355635e+08 3.3810830623119414e+08 3.3786073581619310e+08 3.3756490124085653e+08 3.3721407778166693e+08 3.3679876772236240e+08 3.3630781155315685e+08 3.3572814869072562e+08 3.3504451859618855e+08 3.3423911124032187e+08 3.3329119009346908e+08 3.3217669549288023e+08 3.3086785722476786e+08 3.2933278205168986e+08 3.2753515390895361e+08 3.2543404699675643e+08 3.2298403993281388e+08 3.2013565945114988e+08 3.1657124567654055e+08 3.1242018742736000e+08 3.0761929226937819e+08 3.0211459898098922e+08 2.9586951016176271e+08 2.8887428261494547e+08 2.8115560768976068e+08 2.7278419000681967e+08 2.6387803852834621e+08 2.5459736863015506e+08 2.4513243686328426e+08 2.3569191807210493e+08 2.2648322449132532e+08 2.1767629399800411e+08 2.0940122077698678e+08 2.0174692529219204e+08 1.9475524453088877e+08 1.8843333374889654e+08 1.8275943618737438e+08 1.7770136203118563e+08 1.7321106887992644e+08 1.6924572340575010e+08 1.6575437476297426e+08 1.6270013164666399e+08 1.6003941545011100e+08 1.5773420010586444e+08 1.5575513161886582e+08 1.5406798780456132e+08 1.5263932761277103e+08 1.5144543371613839e+08 1.5045458246434769e+08 1.4964565222550482e+08 1.4899294279513797e+08 1.4847539976050517e+08 1.4806324032347104e+08 1.4772685899147373e+08 1.4744562546155429e+08 1.4719911468961036e+08 1.4696596784564146e+08 1.4680080836710048e+08 1.4663398701095963e+08 1.4646374644582024e+08 1.4628542724713695e+08 1.4610146996197304e+08 1.4590646419570944e+08 1.4570759211893433e+08 1.4548620611437428e+08 1.4524927760867140e+08 1.4499244724423930e+08 1.4471231092112017e+08 1.4440473206150246e+08 1.4406505073141441e+08 1.4368644828474742e+08 1.4327035936347401e+08 1.4280011748002183e+08 1.4227289703487206e+08 1.4168104841935667e+08 1.4101633939666989e+08 1.4027028043954968e+08 1.3943435615397725e+08 1.3849902988716909e+08 1.3746621966884220e+08 1.3631694030450314e+08 1.3505552935181835e+08 1.3368490464221346e+08 1.3221581664068383e+08 1.3066655655425812e+08 1.2907193971320067e+08 1.2748366419497192e+08 1.2598718133858909e+08 1.2468833255713420e+08 1.2375457138131495e+08 1.2341854864028835e+08 1.2401875786854321e+08 1.2604740446418957e+08 1.3025038961137933e+08 1.3780841769748008e+08 1.5071211205195612e+08 3.7496650460488915e+07 +8.3424474824940980e+00 3.3887698543562990e+08 3.3884398267385632e+08 3.3878831349901605e+08 3.3871547952978957e+08 3.3864285625630140e+08 3.3859749458522373e+08 3.3859142443800688e+08 3.3860418389879751e+08 3.3861482455973423e+08 3.3861871707858181e+08 3.3861779313509703e+08 3.3861178222807461e+08 3.3859944170118082e+08 3.3857972503404641e+08 3.3855166635010093e+08 3.3851397779134125e+08 3.3846514493146837e+08 3.3840348627420354e+08 3.3832704578541505e+08 3.3823346852538317e+08 3.3811996528873682e+08 3.3798310468423647e+08 3.3781767839355594e+08 3.3761462963289523e+08 3.3736653676800251e+08 3.3707007771387947e+08 3.3671852229366553e+08 3.3630236093684357e+08 3.3581041782321572e+08 3.3522961423139727e+08 3.3454467037229711e+08 3.3373775642547643e+08 3.3278811634718555e+08 3.3167167243624395e+08 3.3036063959388870e+08 3.2882311523208702e+08 3.2702278254732156e+08 3.2491872760331166e+08 3.2246555829899353e+08 3.1961385380813277e+08 3.1604578215705657e+08 3.1189112106120461e+08 3.0708687856003278e+08 3.0157934937937772e+08 2.9533224147537655e+08 2.8833614899026161e+08 2.8061810174698305e+08 2.7224910091415083e+08 2.6334736018268034e+08 2.5407316590595454e+08 2.4461668721600872e+08 2.3518633640206715e+08 2.2598911660650909e+08 2.1719450836879116e+08 2.0893213447656739e+08 2.0129047708809316e+08 1.9431102510653150e+08 1.8800067923097381e+08 1.8233752829885069e+08 1.7728929024461418e+08 1.7280790766751310e+08 1.6885055072322655e+08 1.6536631905569768e+08 1.6231835542432502e+08 1.5966314734322873e+08 1.5736273134328139e+08 1.5538780111646280e+08 1.5370420102651745e+08 1.5227855690455982e+08 1.5108719679997215e+08 1.5009846491997901e+08 1.4929127968162572e+08 1.4863999400449970e+08 1.4812359422875765e+08 1.4771235896877071e+08 1.4737674544969821e+08 1.4709616330397025e+08 1.4685022942839256e+08 1.4661763237637267e+08 1.4645286371872362e+08 1.4628643755229601e+08 1.4611660046440729e+08 1.4593870395991227e+08 1.4575518275462103e+08 1.4556063957854420e+08 1.4536223799770430e+08 1.4514137679405636e+08 1.4490500992715192e+08 1.4464878837173557e+08 1.4436931609614807e+08 1.4406246632686895e+08 1.4372359017469350e+08 1.4334588546759531e+08 1.4293078189526117e+08 1.4246165464110693e+08 1.4193568387352011e+08 1.4134523811480832e+08 1.4068210464009756e+08 1.3993781404408440e+08 1.3910387111524037e+08 1.3817076210613003e+08 1.3714039900772408e+08 1.3599384371119878e+08 1.3473542259827033e+08 1.3336804658472365e+08 1.3190244065492186e+08 1.3035685266284078e+08 1.2876601541975468e+08 1.2718150474650627e+08 1.2568856807533871e+08 1.2439279787317559e+08 1.2346124995059000e+08 1.2312602398041880e+08 1.2372481067035708e+08 1.2574864892906003e+08 1.2994167215628681e+08 1.3748178666419932e+08 1.5035489574471453e+08 3.7377513224361360e+07 +8.3474158052683567e+00 3.3838571468348193e+08 3.3835275330225265e+08 3.3829716309509975e+08 3.3822442584696960e+08 3.3815189187667900e+08 3.3810657127185738e+08 3.3810047649141276e+08 3.3811317603341395e+08 3.3812375098256302e+08 3.3812757654071134e+08 3.3812657924959421e+08 3.3812048671093303e+08 3.3810805542777175e+08 3.3808823712441969e+08 3.3806006364170885e+08 3.3802224470927644e+08 3.3797326287061614e+08 3.3791143285588604e+08 3.3783479415034467e+08 3.3774098665844750e+08 3.3762721523331267e+08 3.3749004169740844e+08 3.3732424989010221e+08 3.3712076992573994e+08 3.3687215773668265e+08 3.3657507794646400e+08 3.3622279498623818e+08 3.3580578752877700e+08 3.3531286356883496e+08 3.3473092639248902e+08 3.3404467712585944e+08 3.3323626634502488e+08 3.3228491870264548e+08 3.3116653869432253e+08 3.2985332659335399e+08 3.2831337073863757e+08 3.2651035388067126e+08 3.2440337424629813e+08 3.2194706930768657e+08 3.1909207094119018e+08 3.1552037795611304e+08 3.1136215499596405e+08 3.0655461051253486e+08 3.0104429484845108e+08 2.9479522064616650e+08 2.8779831832185513e+08 2.8008095470896995e+08 2.7171442572765553e+08 2.6281714781959918e+08 2.5354947638248062e+08 2.4410149149378407e+08 2.3468134182410145e+08 2.2549562107283404e+08 2.1671335271388155e+08 2.0846368896981367e+08 2.0083467488832930e+08 1.9386745258653665e+08 1.8756866944740072e+08 1.8191626095391512e+08 1.7687785364706782e+08 1.7240537572363731e+08 1.6845600127569714e+08 1.6497888069540733e+08 1.6193719101785511e+08 1.5928748596098855e+08 1.5699186469529346e+08 1.5502106863711140e+08 1.5334100866745839e+08 1.5191837745483297e+08 1.5072954840797219e+08 1.4974293351932389e+08 1.4893749123922411e+08 1.4828762756393591e+08 1.4777236956404194e+08 1.4736205721036497e+08 1.4702721037889978e+08 1.4674727861494869e+08 1.4650192071809140e+08 1.4626987256304032e+08 1.4610549408355731e+08 1.4593946245476875e+08 1.4577002817748594e+08 1.4559255366842636e+08 1.4540946782207349e+08 1.4521538646985880e+08 1.4501745461135691e+08 1.4479711734105137e+08 1.4456131118435571e+08 1.4430569743153554e+08 1.4402688810569689e+08 1.4372076622146508e+08 1.4338269391628432e+08 1.4300588546330655e+08 1.4259176561573675e+08 1.4212375114839435e+08 1.4159902799285567e+08 1.4100998277231470e+08 1.4034842224146053e+08 1.3960589708349270e+08 1.3877393223688462e+08 1.3784303681958911e+08 1.3681511680090380e+08 1.3567128106994879e+08 1.3441584485546538e+08 1.3305171216879605e+08 1.3158958255613500e+08 1.3004766058938412e+08 1.2846059669784202e+08 1.2687984464615625e+08 1.2539044830341496e+08 1.2409775159240517e+08 1.2316841326532629e+08 1.2283398274762857e+08 1.2343134924973209e+08 1.2545038711812320e+08 1.2963346488891500e+08 1.3715569542091525e+08 1.4999826977819100e+08 3.7258715094952382e+07 +8.3523841280426154e+00 3.3789424755703360e+08 3.3786133268291658e+08 3.3780581781096298e+08 3.3773317787204146e+08 3.3766073337579048e+08 3.3761545399059176e+08 3.3760933470860785e+08 3.3762197446805537e+08 3.3763248387084454e+08 3.3763624266745347e+08 3.3763517227953839e+08 3.3762899841449738e+08 3.3761647674553132e+08 3.3759655725386852e+08 3.3756826950859582e+08 3.3753032084455651e+08 3.3748119079337567e+08 3.3741919033231062e+08 3.3734235449282032e+08 3.3724831805362725e+08 3.3713427996259677e+08 3.3699679529825646e+08 3.3683064011328274e+08 3.3662673151590198e+08 3.3637760312278694e+08 3.3607990633407712e+08 3.3572690024723023e+08 3.3530905187751383e+08 3.3481515315950215e+08 3.3423208953157383e+08 3.3354454320038736e+08 3.3273464532538670e+08 3.3178160146657765e+08 3.3066129854965949e+08 3.2934592247644120e+08 3.2780355279013753e+08 3.2599787208733535e+08 3.2388799105534214e+08 3.2142857703029650e+08 3.1857031485155499e+08 3.1499503698513120e+08 3.1083329303600276e+08 3.0602249180333716e+08 3.0050943891431850e+08 2.9425845102455848e+08 2.8726079375954074e+08 2.7954416950134128e+08 2.7118016712800080e+08 2.6228740386045870e+08 2.5302630221399567e+08 2.4358685158634719e+08 2.3417693597480020e+08 2.2500273929247037e+08 2.1623282822521469e+08 2.0799588526660851e+08 2.0037951954781145e+08 1.9342452769680312e+08 1.8713730501809320e+08 1.8149563468556079e+08 1.7646705270054740e+08 1.7200347345255533e+08 1.6806207541937459e+08 1.6459205999874991e+08 1.6155663871166468e+08 1.5891243156055090e+08 1.5662160039681539e+08 1.5465493439703175e+08 1.5297841092833522e+08 1.5155878945223120e+08 1.5037248871896899e+08 1.4938798843314239e+08 1.4858428706352100e+08 1.4793584363421595e+08 1.4742172592422399e+08 1.4701233520417702e+08 1.4667825393382016e+08 1.4639897154832789e+08 1.4615418871220246e+08 1.4592268855890384e+08 1.4575869961457425e+08 1.4559306187112612e+08 1.4542402973767856e+08 1.4524697652507693e+08 1.4506432531641012e+08 1.4487070502165225e+08 1.4467324211184084e+08 1.4445342790703183e+08 1.4421818153178605e+08 1.4396317457478964e+08 1.4368502710056913e+08 1.4337963189590716e+08 1.4304236210634443e+08 1.4266644842171386e+08 1.4225331067395762e+08 1.4178640715058783e+08 1.4126292954103312e+08 1.4067528253929070e+08 1.4001529234766835e+08 1.3927452970428756e+08 1.3844453966423869e+08 1.3751585417177555e+08 1.3649037319142011e+08 1.3534925252293333e+08 1.3409679626402269e+08 1.3273590153373455e+08 1.3127724248186241e+08 1.2973898047020799e+08 1.2815568368198623e+08 1.2657868402679069e+08 1.2509282215397030e+08 1.2380319384479792e+08 1.2287606145414966e+08 1.2254242507040951e+08 1.2313837373585631e+08 1.2515261916272604e+08 1.2932576794474563e+08 1.3683014411130959e+08 1.4964223430941123e+08 3.7140255291425608e+07 +8.3573524508168742e+00 3.3740258873892480e+08 3.3736972274242020e+08 3.3731428283691823e+08 3.3724174013337493e+08 3.3716938519246155e+08 3.3712414715037942e+08 3.3711800350158936e+08 3.3713058361309040e+08 3.3714102763561505e+08 3.3714471986922532e+08 3.3714357663566869e+08 3.3713732174927646e+08 3.3712471006478685e+08 3.3710468983144295e+08 3.3707628835998768e+08 3.3703821060571092e+08 3.3698893310677695e+08 3.3692676310948026e+08 3.3684973121714330e+08 3.3675546711376685e+08 3.3664116387771273e+08 3.3650336988436437e+08 3.3633685345765740e+08 3.3613251879310769e+08 3.3588287731199002e+08 3.3558456725594008e+08 3.3523084244943297e+08 3.3481215834710985e+08 3.3431729094914544e+08 3.3373310799050999e+08 3.3304427292321032e+08 3.3223289767781073e+08 3.3127816892963511e+08 3.3015595626905459e+08 3.2883843148141330e+08 3.2729366559059620e+08 3.2548534132948709e+08 3.2337258214437342e+08 3.2091008552123004e+08 3.1804858952404606e+08 3.1446976313930780e+08 3.1030453896872550e+08 3.0549052609126228e+08 2.9997478508524323e+08 2.9372193594351500e+08 2.8672357843620485e+08 2.7900774903281009e+08 2.7064632777930361e+08 2.6175813071003589e+08 2.5250364553974548e+08 2.4307276936904389e+08 2.3367312047689497e+08 2.2451047265452623e+08 2.1575293608283228e+08 2.0752872436529902e+08 1.9992501191078448e+08 1.9298225115348113e+08 1.8670658655349049e+08 1.8107565001776630e+08 1.7605688785862905e+08 1.7160220124987468e+08 1.6766877350299457e+08 1.6420585727543122e+08 1.6117669878247869e+08 1.5853798439212465e+08 1.5625193867550293e+08 1.5428939860551903e+08 1.5261640800341284e+08 1.5119979307846966e+08 1.5001601790477946e+08 1.4903362982591313e+08 1.4823166731305951e+08 1.4758464236960262e+08 1.4707166346074754e+08 1.4666319309970173e+08 1.4632987626269752e+08 1.4605124225171930e+08 1.4580703355788317e+08 1.4557608051071668e+08 1.4541248045849317e+08 1.4524723594798866e+08 1.4507860529129443e+08 1.4490197267609078e+08 1.4471975538370487e+08 1.4452659537961838e+08 1.4432960064475483e+08 1.4411030863712904e+08 1.4387562111448070e+08 1.4362121994623268e+08 1.4334373322537494e+08 1.4303906349434134e+08 1.4270259488872543e+08 1.4232757448626384e+08 1.4191541721319765e+08 1.4144962279048514e+08 1.4092738866015723e+08 1.4034113755730137e+08 1.3968271509951442e+08 1.3894371204655099e+08 1.3811569353652322e+08 1.3718921430119112e+08 1.3616616831672388e+08 1.3502775820615128e+08 1.3377827695913246e+08 1.3242061481328723e+08 1.3096542056438020e+08 1.2943081243564400e+08 1.2785127650111236e+08 1.2627802301573484e+08 1.2479568975291169e+08 1.2350912475493325e+08 1.2258419464084016e+08 1.2225135107200223e+08 1.2284588425270483e+08 1.2485534518856631e+08 1.2901858145396805e+08 1.3650513287292787e+08 1.4928678948894489e+08 3.7022133033837922e+07 +8.3623207735911329e+00 3.3691074913064176e+08 3.3687792610825026e+08 3.3682256296520716e+08 3.3675011708747846e+08 3.3667785176049119e+08 3.3663265514882803e+08 3.3662648726799113e+08 3.3663900786359459e+08 3.3664938667274576e+08 3.3665301254161668e+08 3.3665179671316749e+08 3.3664546111068231e+08 3.3663275978052735e+08 3.3661263925199181e+08 3.3658412458972573e+08 3.3654591838550889e+08 3.3649649420276940e+08 3.3643415557797027e+08 3.3635692871268588e+08 3.3626243822627062e+08 3.3614787136271524e+08 3.3600976983826584e+08 3.3584289430160207e+08 3.3563813613259858e+08 3.3538798467408907e+08 3.3508906507617617e+08 3.3473462594919705e+08 3.3431511128625846e+08 3.3381928127649748e+08 3.3323398609585720e+08 3.3254387060690892e+08 3.3173102769663745e+08 3.3077462536667055e+08 3.2965051610233152e+08 3.2833085782946062e+08 3.2678371332680207e+08 3.2497276575342429e+08 3.2285715160905463e+08 3.2039159881842488e+08 3.1752689892706019e+08 3.1394456029695016e+08 3.0977589656425625e+08 3.0495871701893771e+08 2.9944033685203475e+08 2.9318567871886438e+08 2.8618667546745777e+08 2.7847169619526500e+08 2.7011291032968026e+08 2.6122933075748307e+08 2.5198150848343509e+08 2.4255924670235446e+08 2.3316989693913943e+08 2.2401882253472456e+08 2.1527367745465896e+08 2.0706220725286642e+08 1.9947115281085715e+08 1.9254062366218048e+08 1.8627651465429869e+08 1.8065630746536642e+08 1.7564735956606710e+08 1.7120155950300440e+08 1.6727609586665925e+08 1.6382027282693669e+08 1.6079737150014824e+08 1.5816414469859409e+08 1.5588287975224090e+08 1.5392446146504185e+08 1.5225500007985738e+08 1.5084138850895247e+08 1.4966013613104928e+08 1.4867985785550007e+08 1.4787963213984460e+08 1.4723402391814750e+08 1.4672218231852385e+08 1.4631463104021692e+08 1.4598207750758520e+08 1.4570409086638626e+08 1.4546045539592612e+08 1.4523004855901420e+08 1.4506683675548434e+08 1.4490198482537785e+08 1.4473375497829154e+08 1.4455754226117697e+08 1.4437575816361290e+08 1.4418305768338281e+08 1.4398653034910828e+08 1.4376775967055324e+08 1.4353363007113153e+08 1.4327983368448681e+08 1.4300300661849806e+08 1.4269906115493622e+08 1.4236339240124932e+08 1.4198926379440111e+08 1.4157808537027493e+08 1.4111339820435131e+08 1.4059240548628244e+08 1.4000754796200222e+08 1.3935069063176626e+08 1.3861344424429590e+08 1.3778739398719880e+08 1.3686311734006476e+08 1.3584250230819851e+08 1.3470679824999830e+08 1.3346028706956030e+08 1.3210585213499117e+08 1.3065411692987105e+08 1.2912315661070214e+08 1.2754737527860659e+08 1.2597786173494282e+08 1.2449905122058661e+08 1.2321554444196792e+08 1.2229281294381790e+08 1.2196076087048973e+08 1.2255388091878438e+08 1.2455856531639023e+08 1.2871190554122189e+08 1.3618066183762303e+08 1.4893193546075299e+08 3.6904347543143608e+07 +8.3672890963653916e+00 3.3641872502490151e+08 3.3638594772680074e+08 3.3633066217877507e+08 3.3625831306854594e+08 3.3618613749181879e+08 3.3614098237071794e+08 3.3613479039065474e+08 3.3614725159941733e+08 3.3615756536257404e+08 3.3616112506513888e+08 3.3615983689263570e+08 3.3615342087846887e+08 3.3614063027220583e+08 3.3612040989458209e+08 3.3609178257620209e+08 3.3605344856155783e+08 3.3600387845818830e+08 3.3594137211329943e+08 3.3586395135289913e+08 3.3576923576260483e+08 3.3565440678769559e+08 3.3551599952634019e+08 3.3534876700918722e+08 3.3514358789379209e+08 3.3489292956358749e+08 3.3459340414270914e+08 3.3423825508792782e+08 3.3381791502716315e+08 3.3332112846331131e+08 3.3273472815787673e+08 3.3204334054720932e+08 3.3122903966141796e+08 3.3027097503613323e+08 3.2914498228464806e+08 3.2782320572629631e+08 3.2627370016967452e+08 3.2446014948850143e+08 3.2234170353054547e+08 3.1987312094367385e+08 3.1700524701117784e+08 3.1341943231890434e+08 3.0924736957591164e+08 3.0442706821136349e+08 2.9890609768926388e+08 2.9264968264950627e+08 2.8565008795216990e+08 2.7793601386381054e+08 2.6957991740994579e+08 2.6070100637604997e+08 2.5145989315333992e+08 2.4204628543223590e+08 2.3266726695636779e+08 2.2352779029634809e+08 2.1479505349630210e+08 2.0659633490464324e+08 1.9901794307081372e+08 1.9209964591875777e+08 1.8584708991186064e+08 1.8023760753437567e+08 1.7523846825909710e+08 1.7080154859171584e+08 1.6688404284331676e+08 1.6343530694755515e+08 1.6041865712668824e+08 1.5779091271542448e+08 1.5551442384072700e+08 1.5356012317126864e+08 1.5189418733861193e+08 1.5048357591200456e+08 1.4930484355645454e+08 1.4832667267324960e+08 1.4752818168978858e+08 1.4688398842128837e+08 1.4637328263649821e+08 1.4596664916243908e+08 1.4563485780408883e+08 1.4535751752740267e+08 1.4511445436088592e+08 1.4488459283802527e+08 1.4472176863983199e+08 1.4455730863722900e+08 1.4438947893248773e+08 1.4421368541400352e+08 1.4403233378955531e+08 1.4384009206613830e+08 1.4364403135818073e+08 1.4342578114012229e+08 1.4319220853456017e+08 1.4293901592203763e+08 1.4266284741184703e+08 1.4235962500942892e+08 1.4202475477537072e+08 1.4165151647738340e+08 1.4124131527610639e+08 1.4077773352285224e+08 1.4025798014930072e+08 1.3967451388245672e+08 1.3901921907321581e+08 1.3828372642564762e+08 1.3745964114345896e+08 1.3653756341501880e+08 1.3551937529143164e+08 1.3438637277889761e+08 1.3314282671885335e+08 1.3179161362109828e+08 1.3034333169918948e+08 1.2881601311473623e+08 1.2724398013230617e+08 1.2567820030075520e+08 1.2420290667213865e+08 1.2292245301973777e+08 1.2200191647589266e+08 1.2167065457855451e+08 1.2226236384729642e+08 1.2426227966126946e+08 1.2840574032530610e+08 1.3585673113118267e+08 1.4857767236246651e+08 3.6786898041198537e+07 +8.3722574191396504e+00 3.3592652529580271e+08 3.3589379346380627e+08 3.3583858443025535e+08 3.3576633239314729e+08 3.3569424676582241e+08 3.3564913318798518e+08 3.3564291723608810e+08 3.3565531918532449e+08 3.3566556806983334e+08 3.3566906180420518e+08 3.3566770153805655e+08 3.3566120541751075e+08 3.3564832590381038e+08 3.3562800612263548e+08 3.3559926668234265e+08 3.3556080549627256e+08 3.3551109023382229e+08 3.3544841707499450e+08 3.3537080349625862e+08 3.3527586407932150e+08 3.3516077450659788e+08 3.3502206330003750e+08 3.3485447592790407e+08 3.3464887842026895e+08 3.3439771631920511e+08 3.3409758878895509e+08 3.3374173419121099e+08 3.3332057388718516e+08 3.3282283681736678e+08 3.3223533847155350e+08 3.3154268702488154e+08 3.3072693783539373e+08 3.2976722218078572e+08 3.2863935903406703e+08 3.2731547936136520e+08 3.2576363027404881e+08 3.2394749664840370e+08 3.2182624197243750e+08 3.1935465590158927e+08 3.1648363771186203e+08 3.1289438304971755e+08 3.0871896174040675e+08 3.0389558327655166e+08 2.9837207105404663e+08 2.9211395101749909e+08 2.8511381897220862e+08 2.7740070489687479e+08 2.6904735163562173e+08 2.6017315992304599e+08 2.5093880164254069e+08 2.4153388739012063e+08 2.3216523210984454e+08 2.2303737728924751e+08 2.1431706535098830e+08 2.0613110828500736e+08 1.9856538350282246e+08 1.9165931860899478e+08 1.8541831290795699e+08 1.7981955072189772e+08 1.7483021436594892e+08 1.7040216888702154e+08 1.6649261475766656e+08 1.6305095992361832e+08 1.6004055591703027e+08 1.5741828867180878e+08 1.5514657114787367e+08 1.5319638391305101e+08 1.5153396995352641e+08 1.5012635544986975e+08 1.4895014033357731e+08 1.4797407442410588e+08 1.4717731610182214e+08 1.4653453601427299e+08 1.4602496454690361e+08 1.4561924759685308e+08 1.4528821728160608e+08 1.4501152236335775e+08 1.4476903058110908e+08 1.4453971347581369e+08 1.4437727623923641e+08 1.4421320751138178e+08 1.4404577728143558e+08 1.4387040226191121e+08 1.4368948238884395e+08 1.4349769865496799e+08 1.4330210379880729e+08 1.4308437317260370e+08 1.4285135663109863e+08 1.4259876678506029e+08 1.4232325573173785e+08 1.4202075518364531e+08 1.4168668213665450e+08 1.4131433266022411e+08 1.4090510705536097e+08 1.4044262887010700e+08 1.3992411277306914e+08 1.3934203544218451e+08 1.3868830054675394e+08 1.3795455871270472e+08 1.3713243512682146e+08 1.3621255264654654e+08 1.3519678738595933e+08 1.3406648191154978e+08 1.3282589602457146e+08 1.3147789938797089e+08 1.3003306498749614e+08 1.2850938206136091e+08 1.2694109117457302e+08 1.2537903882429445e+08 1.2390725621724012e+08 1.2262985059688690e+08 1.2171150534491591e+08 1.2138103230359541e+08 1.2197133314635555e+08 1.2396648833291173e+08 1.2810008591972046e+08 1.3553334087374455e+08 1.4822400032539660e+08 3.6669783750764072e+07 +8.3772257419139091e+00 3.3543415320598906e+08 3.3540146666254002e+08 3.3534633420901245e+08 3.3527417944661504e+08 3.3520218393135065e+08 3.3515711195744658e+08 3.3515087215627980e+08 3.3516321497096390e+08 3.3517339914361721e+08 3.3517682710842371e+08 3.3517539499907953e+08 3.3516881907672435e+08 3.3515585102409941e+08 3.3513543228404635e+08 3.3510658125566006e+08 3.3506799353556865e+08 3.3501813387540644e+08 3.3495529480724275e+08 3.3487748948531443e+08 3.3478232751693934e+08 3.3466697885757703e+08 3.3452796549490172e+08 3.3436002539001119e+08 3.3415401204037267e+08 3.3390234926402938e+08 3.3360162333151841e+08 3.3324506756891841e+08 3.3282309216761398e+08 3.3232441062894726e+08 3.3173582131580573e+08 3.3104191430427945e+08 3.3022472646563667e+08 3.2926337102795917e+08 3.2813365055299956e+08 3.2680768290789926e+08 3.2525350777835554e+08 3.2343481132976151e+08 3.2131077098181653e+08 3.1883620768069404e+08 3.1596207494639343e+08 3.1236941631726170e+08 3.0819067677697748e+08 3.0336426580573118e+08 2.9783826038669807e+08 2.9157848708787000e+08 2.8457787159280735e+08 2.7686577213640463e+08 2.6851521560532904e+08 2.5964579373988265e+08 2.5041823602890894e+08 2.4102205439281610e+08 2.3166379396685857e+08 2.2254758485040471e+08 2.1383971415029183e+08 2.0566652834651405e+08 1.9811347490867221e+08 1.9121964240889508e+08 1.8499018421525675e+08 1.7940213751628625e+08 1.7442259830573714e+08 1.7000342075226048e+08 1.6610181192698944e+08 1.6266723203461549e+08 1.5966306811900991e+08 1.5704627278886405e+08 1.5477932187353867e+08 1.5283324387223539e+08 1.5117434809204039e+08 1.4976972727790824e+08 1.4859602660829648e+08 1.4762206324663895e+08 1.4682703550928983e+08 1.4618566682607234e+08 1.4567722817575151e+08 1.4527242646773490e+08 1.4494215606332150e+08 1.4466610549670994e+08 1.4442418417849138e+08 1.4419541059417903e+08 1.4403335967534965e+08 1.4386968156911328e+08 1.4370265014642212e+08 1.4352769292617360e+08 1.4334720408238488e+08 1.4315587757075086e+08 1.4296074779162216e+08 1.4274353588831404e+08 1.4251107448118624e+08 1.4225908639365608e+08 1.4198423169788992e+08 1.4168245179714584e+08 1.4134917460433608e+08 1.4097771246212780e+08 1.4056946082680592e+08 1.4010808436450696e+08 1.3959080347548136e+08 1.3901011275850713e+08 1.3835793516901913e+08 1.3762594122171015e+08 1.3680577605271497e+08 1.3588808514955726e+08 1.3487473870574623e+08 1.3374712576093586e+08 1.3250949509862961e+08 1.3116470954628812e+08 1.2972331690421030e+08 1.2820326355910462e+08 1.2663870851246935e+08 1.2508037741113099e+08 1.2361209996020548e+08 1.2233773727669427e+08 1.2142157965337522e+08 1.2109189414799455e+08 1.2168078891863863e+08 1.2367119143576956e+08 1.2779494243224752e+08 1.3521049117936859e+08 1.4787091947430179e+08 3.6553003895511173e+07 +8.3821940646881679e+00 3.3494160925923830e+08 3.3490897241606152e+08 3.3485391590114367e+08 3.3478185863168091e+08 3.3470995331256580e+08 3.3466492302022302e+08 3.3465865948704600e+08 3.3467094329017872e+08 3.3468106291856134e+08 3.3468442531209058e+08 3.3468292160956216e+08 3.3467626619015366e+08 3.3466320996595150e+08 3.3464269271230394e+08 3.3461373062824231e+08 3.3457501701123780e+08 3.3452501371332127e+08 3.3446200963940346e+08 3.3438401364699209e+08 3.3428863040120864e+08 3.3417302416402477e+08 3.3403371043134719e+08 3.3386541971246600e+08 3.3365899306685197e+08 3.3340683270596695e+08 3.3310551207226181e+08 3.3274825951566732e+08 3.3232547415408468e+08 3.3182585417412913e+08 3.3123618095414889e+08 3.3054102663443160e+08 3.2972240978435081e+08 3.2875942578827035e+08 3.2762786102841008e+08 3.2629982052358574e+08 3.2474333680511630e+08 3.2292209761343193e+08 3.2079529459033775e+08 3.1831778025279164e+08 3.1544056261667985e+08 3.1184453593229216e+08 3.0766251838868457e+08 3.0283311937322891e+08 2.9730466911004478e+08 2.9104329410833889e+08 2.8404224886201710e+08 2.7633121840788019e+08 2.6798351190161175e+08 2.5911891015232411e+08 2.4989819837511951e+08 2.4051078824260029e+08 2.3116295408105737e+08 2.2205841430419087e+08 2.1336300101353285e+08 2.0520259603081477e+08 1.9766221807922935e+08 1.9078061798419333e+08 1.8456270439697319e+08 1.7898536839666972e+08 1.7401562048962572e+08 1.6960530454265106e+08 1.6571163466043881e+08 1.6228412355196023e+08 1.5928619397310704e+08 1.5667486528141522e+08 1.5441267621098882e+08 1.5247070322441176e+08 1.5081532191479573e+08 1.4941369154492909e+08 1.4824250252010238e+08 1.4727063927287871e+08 1.4647734003861335e+08 1.4583738097932819e+08 1.4533007364306515e+08 1.4492618589306206e+08 1.4459667426613283e+08 1.4432126704386842e+08 1.4407991526904875e+08 1.4385168430856434e+08 1.4369001906367552e+08 1.4352673092600796e+08 1.4336009764263633e+08 1.4318555752178171e+08 1.4300549898507413e+08 1.4281462892813852e+08 1.4261996345131555e+08 1.4240326940190041e+08 1.4217136219911176e+08 1.4191997486193481e+08 1.4164577542406449e+08 1.4134471496361190e+08 1.4101223229187173e+08 1.4064165599596727e+08 1.4023437670299366e+08 1.3977410011837107e+08 1.3925805236846766e+08 1.3867874594299817e+08 1.3802812305114493e+08 1.3729787406295329e+08 1.3647966403081760e+08 1.3556416103294292e+08 1.3455322935893506e+08 1.3342830443421781e+08 1.3219362404720138e+08 1.3085204420124196e+08 1.2941408755342098e+08 1.2789765771048328e+08 1.2633683224745010e+08 1.2478221616149068e+08 1.2331743800013745e+08 1.2204611315712987e+08 1.2113213949857433e+08 1.2080324020876689e+08 1.2139073126164463e+08 1.2337638906897858e+08 1.2749030996553938e+08 1.3488818215639853e+08 1.4751842992764500e+08 3.6436557700024277e+07 +8.3871623874624266e+00 3.3444890783511209e+08 3.3441631217445725e+08 3.3436133461927629e+08 3.3428937430053079e+08 3.3421755921396911e+08 3.3417257070014805e+08 3.3416628354819816e+08 3.3417850846245015e+08 3.3418856371261954e+08 3.3419186073350942e+08 3.3419028568755645e+08 3.3418355107565916e+08 3.3417040704802752e+08 3.3414979172429049e+08 3.3412071911704159e+08 3.3408188023938239e+08 3.3403173406197047e+08 3.3396856588452107e+08 3.3389038029371631e+08 3.3379477704191548e+08 3.3367891473340267e+08 3.3353930241407585e+08 3.3337066319712681e+08 3.3316382579687196e+08 3.3291117093700761e+08 3.3260925929751545e+08 3.3225131431026793e+08 3.3182772411734289e+08 3.3132717171308380e+08 3.3073642163437438e+08 3.3004002824847710e+08 3.2921999200673038e+08 3.2825539065716815e+08 3.2712199463072443e+08 3.2579189634888917e+08 3.2423312146055478e+08 3.2240935956405759e+08 3.2027981681231439e+08 3.1779937757318121e+08 3.1491910460737002e+08 3.1131974568887883e+08 3.0713449026135945e+08 3.0230214753583825e+08 2.9677130063058150e+08 2.9050837531019753e+08 2.8350695381149286e+08 2.7579704651949650e+08 2.6745224309054384e+08 2.5859251147043371e+08 2.4937869072899115e+08 2.4000009072780979e+08 2.3066271399268630e+08 2.2156986696197206e+08 2.1288692704779980e+08 2.0473931226831800e+08 1.9721161379508635e+08 1.9034224599114692e+08 1.8413587400697508e+08 1.7856924383367506e+08 1.7360928132009396e+08 1.6920782060527992e+08 1.6532208326001120e+08 1.6190163474000570e+08 1.5890993371226928e+08 1.5630406635689533e+08 1.5404663434639868e+08 1.5210876213795513e+08 1.5045689157621732e+08 1.4905824839362922e+08 1.4788956820206812e+08 1.4691980262886891e+08 1.4612822981012613e+08 1.4548967859021810e+08 1.4498350106228691e+08 1.4458052598469976e+08 1.4425177200067672e+08 1.4397700711470327e+08 1.4373622396241173e+08 1.4350853472857869e+08 1.4334725451349437e+08 1.4318435569091862e+08 1.4301811987916881e+08 1.4284399615768686e+08 1.4266436720581064e+08 1.4247395283597529e+08 1.4227975088620976e+08 1.4206357382149649e+08 1.4183221989284304e+08 1.4158143229778299e+08 1.4130788701818186e+08 1.4100754479040399e+08 1.4067585530636013e+08 1.4030616336886710e+08 1.3989985479073283e+08 1.3944067623805526e+08 1.3892585955781126e+08 1.3834793510106733e+08 1.3769886429791847e+08 1.3697035734097895e+08 1.3615409916500440e+08 1.3524078039970404e+08 1.3423225944774458e+08 1.3311001803279316e+08 1.3187828297071922e+08 1.3053990345239399e+08 1.2910537703353576e+08 1.2759256461299041e+08 1.2603546247555426e+08 1.2448455517039302e+08 1.2302327043089314e+08 1.2175497833101505e+08 1.2084318497265995e+08 1.2051507057773946e+08 1.2110116026785813e+08 1.2308208132632834e+08 1.2718618861642313e+08 1.3456641390758872e+08 1.4716653179773057e+08 3.6320444389805429e+07 +8.3921307102366853e+00 3.3395604255614233e+08 3.3392349406880736e+08 3.3386859485504228e+08 3.3379673070420200e+08 3.3372500592228639e+08 3.3368005930458707e+08 3.3367374864404434e+08 3.3368591479183429e+08 3.3369590582965261e+08 3.3369913767624766e+08 3.3369749153643948e+08 3.3369067803644949e+08 3.3367744657214731e+08 3.3365673362197828e+08 3.3362755102304941e+08 3.3358858752012861e+08 3.3353829922105545e+08 3.3347496784116405e+08 3.3339659372170430e+08 3.3330077173325771e+08 3.3318465485796553e+08 3.3304474573240680e+08 3.3287576012929165e+08 3.3266851451250976e+08 3.3241536823422724e+08 3.3211286927764207e+08 3.3175423621590257e+08 3.3132984631129652e+08 3.3082836748981899e+08 3.3023654758802384e+08 3.2953892336358601e+08 3.2871747733309633e+08 3.2775126981380010e+08 3.2661605551423573e+08 3.2528391450993329e+08 3.2372286583489656e+08 3.2189660122997111e+08 3.1976434164649403e+08 3.1728100358096576e+08 3.1439770478663069e+08 3.1079504936474788e+08 3.0660659606375337e+08 3.0177135383474207e+08 2.9623815833750314e+08 2.8997373390751541e+08 2.8297198945586741e+08 2.7526325926398551e+08 2.6692141172240657e+08 2.5806659998848468e+08 2.4885971512278461e+08 2.3948996362167969e+08 2.3016307522819072e+08 2.2108194412237200e+08 2.1241149334841159e+08 2.0427667797800109e+08 1.9676166282627046e+08 1.8990452707594144e+08 1.8370969358986756e+08 1.7815376428920817e+08 1.7320358119153637e+08 1.6881096927948108e+08 1.6493315801965564e+08 1.6151976585564587e+08 1.5853428756290928e+08 1.5593387621580762e+08 1.5368119645906314e+08 1.5174742077509764e+08 1.5009905722372115e+08 1.4870339795994583e+08 1.4753722378080884e+08 1.4656955343397710e+08 1.4577970493797266e+08 1.4514255976893356e+08 1.4463751054090479e+08 1.4423544684833884e+08 1.4390744937162048e+08 1.4363332581340665e+08 1.4339311036221090e+08 1.4316596195749024e+08 1.4300506612793353e+08 1.4284255596708417e+08 1.4267671695884234e+08 1.4250300893660089e+08 1.4232380884719774e+08 1.4213384939668256e+08 1.4194011019887835e+08 1.4172444924940401e+08 1.4149364766447037e+08 1.4124345880310395e+08 1.4097056658184546e+08 1.4067094137918824e+08 1.4034004374916846e+08 1.3997123468174800e+08 1.3956589519066158e+08 1.3910781282374266e+08 1.3859422514366490e+08 1.3801768033212638e+08 1.3737015900858513e+08 1.3664339115421200e+08 1.3582908155313438e+08 1.3491794334736460e+08 1.3391182906890701e+08 1.3279226665262657e+08 1.3156347196426241e+08 1.3022828739363812e+08 1.2879718543748952e+08 1.2728798435830723e+08 1.2573459928755462e+08 1.2418739452738115e+08 1.2272959734085104e+08 1.2146433288613468e+08 1.2055471616265868e+08 1.2022738534169556e+08 1.2081207602433936e+08 1.2278826829647706e+08 1.2688257847644067e+08 1.3424518652972567e+08 1.4681522519043356e+08 3.6204663191277914e+07 +8.3970990330109441e+00 3.3346302484256196e+08 3.3343052303896362e+08 3.3337569902709037e+08 3.3330393211716187e+08 3.3323229770803356e+08 3.3318739312234932e+08 3.3318105906173027e+08 3.3319316656696892e+08 3.3320309355748916e+08 3.3320626042801303e+08 3.3320454344402927e+08 3.3319765136027455e+08 3.3318433282545453e+08 3.3316352269203258e+08 3.3313423063263917e+08 3.3309514313851178e+08 3.3304471347491479e+08 3.3298121979191792e+08 3.3290265821255559e+08 3.3280661875515574e+08 3.3269024881447148e+08 3.3255004466016191e+08 3.3238071477952522e+08 3.3217306348000377e+08 3.3191942885860491e+08 3.3161634626775461e+08 3.3125702948028040e+08 3.3083184497545916e+08 3.3032944573290992e+08 3.2973656303190237e+08 3.2903771618160415e+08 3.2821486994766653e+08 3.2724706742174923e+08 3.2611004781773657e+08 3.2477587911492527e+08 3.2321257400193244e+08 3.2138382664309072e+08 3.1924887307483363e+08 3.1676266219865978e+08 3.1387636700607884e+08 3.1027045072053117e+08 3.0607883944878316e+08 3.0124074179310650e+08 2.9570524560339695e+08 2.8943937309776723e+08 2.8243735879317164e+08 2.7472985941689819e+08 2.6639102033111414e+08 2.5754117798522985e+08 2.4834127357412273e+08 2.3898040868378782e+08 2.2966403930056116e+08 2.2059464707131410e+08 2.1193670099892524e+08 2.0381469406784809e+08 1.9631236593271342e+08 1.8946746187516654e+08 1.8328416368139389e+08 1.7773893021615881e+08 1.7279852049014401e+08 1.6841475089662719e+08 1.6454485922575113e+08 1.6113851714835539e+08 1.5815925574381804e+08 1.5556429505197462e+08 1.5331636272186151e+08 1.5138667929082769e+08 1.4974181899844107e+08 1.4834914037320289e+08 1.4718546937688851e+08 1.4621989180136374e+08 1.4543176552985227e+08 1.4479602461937153e+08 1.4429210218018642e+08 1.4389094858336398e+08 1.4356370647734836e+08 1.4329022323760167e+08 1.4305057456573424e+08 1.4282396609244555e+08 1.4266345400418469e+08 1.4250133185155466e+08 1.4233588897871062e+08 1.4216259595546660e+08 1.4198382400583082e+08 1.4179431870692420e+08 1.4160104148553556e+08 1.4138589578187042e+08 1.4115564561018875e+08 1.4090605447384927e+08 1.4063381421070033e+08 1.4033490482538441e+08 1.4000479771552697e+08 1.3963687002960297e+08 1.3923249799737605e+08 1.3877550997006822e+08 1.3826314921999067e+08 1.3768798172997767e+08 1.3704200727630153e+08 1.3631697559561846e+08 1.3550461128757617e+08 1.3459564996737760e+08 1.3359193831322758e+08 1.3247505038370630e+08 1.3124919111702049e+08 1.2991719611335224e+08 1.2848951285257272e+08 1.2698391703282991e+08 1.2543424276874177e+08 1.2389073431675588e+08 1.2243641881339438e+08 1.2117417690476361e+08 1.2026673315031837e+08 1.1994018458231059e+08 1.2052347861311755e+08 1.2249495006276968e+08 1.2657947963179672e+08 1.3392450011393850e+08 1.4646451020526960e+08 3.6089213331790306e+07 +8.4020673557852028e+00 3.3296985589615685e+08 3.3293740033746779e+08 3.3288265179202926e+08 3.3281098295848161e+08 3.3273943883085185e+08 3.3269457642603624e+08 3.3268821907341015e+08 3.3270026806168431e+08 3.3271013116838199e+08 3.3271323326154345e+08 3.3271144568249285e+08 3.3270447531923801e+08 3.3269107008016586e+08 3.3267016320572102e+08 3.3264076221613908e+08 3.3260155136462343e+08 3.3255098109139115e+08 3.3248732600363398e+08 3.3240857803124136e+08 3.3231232237077314e+08 3.3219570086444175e+08 3.3205520345661837e+08 3.3188553140362293e+08 3.3167747695003605e+08 3.3142335705584669e+08 3.3111969450756359e+08 3.3075969833577871e+08 3.3033372433328563e+08 3.2983041065541667e+08 3.2923647216642988e+08 3.2853641088849527e+08 3.2771217401862448e+08 3.2674278762868261e+08 3.2560397566446805e+08 3.2426779425782514e+08 3.2270225001988244e+08 3.2087103981914169e+08 3.1873341506301028e+08 3.1624435733232147e+08 3.1335509510115951e+08 3.0974595350096220e+08 3.0555122405122602e+08 3.0071031491776389e+08 2.9517256578352708e+08 2.8890529606155419e+08 2.8190306480452025e+08 2.7419684973707336e+08 2.6586107143474829e+08 2.5701624772361872e+08 2.4782336808546376e+08 2.3847142765912622e+08 2.2916560770906073e+08 2.2010797708187076e+08 2.1146255107095915e+08 2.0335336143496194e+08 1.9586372386347288e+08 1.8903105101543334e+08 1.8285928480761099e+08 1.7732474205928272e+08 1.7239409959345740e+08 1.6801916577986801e+08 1.6415718715716347e+08 1.6075788886024848e+08 1.5778483846684268e+08 1.5519532305210274e+08 1.5295213330058166e+08 1.5102653783416095e+08 1.4938517703485644e+08 1.4799547575667360e+08 1.4683430510424772e+08 1.4587081783813259e+08 1.4508441168744183e+08 1.4445007323936126e+08 1.4394727607508516e+08 1.4354703128313163e+08 1.4322054341021761e+08 1.4294769947906134e+08 1.4270861666453251e+08 1.4248254722468883e+08 1.4232241823311061e+08 1.4216068343503281e+08 1.4199563602943298e+08 1.4182275730476424e+08 1.4164441277240160e+08 1.4145536085696930e+08 1.4126254483653024e+08 1.4104791350905785e+08 1.4081821381992188e+08 1.4056921939976829e+08 1.4029762999453846e+08 1.3999943521853054e+08 1.3967011729477847e+08 1.3930306950157446e+08 1.3889966329986560e+08 1.3844376776534328e+08 1.3793263187506679e+08 1.3735883938256541e+08 1.3671440918859372e+08 1.3599111075194219e+08 1.3518068845475438e+08 1.3427390034578842e+08 1.3327258726598518e+08 1.3215836931067669e+08 1.3093544051287666e+08 1.2960662969451120e+08 1.2818235936087695e+08 1.2668036271768671e+08 1.2513439299923007e+08 1.2359457461769666e+08 1.2214373492673887e+08 1.2088451046421869e+08 1.1997923601245624e+08 1.1965346837606248e+08 1.2023536811107452e+08 1.2220212670339951e+08 1.2627689216314039e+08 1.3360435474574919e+08 1.4611438693582243e+08 3.5974094039620250e+07 +8.4070356785594615e+00 3.3247653787787259e+08 3.3244413001678979e+08 3.3238945937065631e+08 3.3231788754759580e+08 3.3224643354861879e+08 3.3220161347097814e+08 3.3219523293456733e+08 3.3220722353395647e+08 3.3221702291945225e+08 3.3222006043420351e+08 3.3221820250905067e+08 3.3221115416984278e+08 3.3219766259231853e+08 3.3217665941917133e+08 3.3214715002876955e+08 3.3210781645263296e+08 3.3205710632444614e+08 3.3199329072880715e+08 3.3191435742855966e+08 3.3181788682839692e+08 3.3170101525334179e+08 3.3156022636398768e+08 3.3139021424081349e+08 3.3118175915831590e+08 3.3092715705613965e+08 3.3062291822074276e+08 3.3026224699941111e+08 3.2983548859261078e+08 3.2933126645511353e+08 3.2873627917687631e+08 3.2803501165469742e+08 3.2720939369910282e+08 3.2623843456572163e+08 3.2509784316107905e+08 3.2375966401584655e+08 3.2219189793052173e+08 3.2035824475845945e+08 3.1821797156063730e+08 3.1572609287152022e+08 3.1283389289039564e+08 3.0922156143289793e+08 3.0502375349050581e+08 3.0018007669853026e+08 2.9464012221720952e+08 2.8837150596243846e+08 2.8136911045502347e+08 2.7366423296804273e+08 2.6533156753511664e+08 2.5649181145134738e+08 2.4730600064443314e+08 2.3796302227856010e+08 2.2866778193997812e+08 2.1962193541501737e+08 2.1098904462401572e+08 2.0289268096503946e+08 1.9541573735736462e+08 1.8859529511408556e+08 1.8243505748568019e+08 1.7691120025419062e+08 1.7199031887116420e+08 1.6762421424497426e+08 1.6377014208514795e+08 1.6037788122625357e+08 1.5741103593686432e+08 1.5482696039580387e+08 1.5258850835454330e+08 1.5066699654713324e+08 1.4902913146136326e+08 1.4764240422733030e+08 1.4648373107058689e+08 1.4552233164487171e+08 1.4473764350613698e+08 1.4410470572038898e+08 1.4360303231469482e+08 1.4320369503496918e+08 1.4287796025646967e+08 1.4260575462351257e+08 1.4236723674377483e+08 1.4214170543932036e+08 1.4198195889989889e+08 1.4182061080264866e+08 1.4165595819580585e+08 1.4148349306933424e+08 1.4130557523153597e+08 1.4111697593147278e+08 1.4092462033628258e+08 1.4071050251514545e+08 1.4048135237782174e+08 1.4023295366499165e+08 1.3996201401716983e+08 1.3966453264220357e+08 1.3933600257035449e+08 1.3896983318091947e+08 1.3856739118106118e+08 1.3811258629246643e+08 1.3760267319127136e+08 1.3703025337178534e+08 1.3638736482707027e+08 1.3566579670453906e+08 1.3485731313535038e+08 1.3395269456265032e+08 1.3295377600672410e+08 1.3184222351235665e+08 1.3062222022985230e+08 1.2929658821448696e+08 1.2787572503898710e+08 1.2637732148838998e+08 1.2483505005372612e+08 1.2329891550383201e+08 1.2185154575367144e+08 1.2059533363681437e+08 1.1969222482067196e+08 1.1936723679432371e+08 1.1994774459000780e+08 1.2190979829131448e+08 1.2597481614609703e+08 1.3328475050487311e+08 1.4576485546926123e+08 3.5859304543978192e+07 +8.4120040013337203e+00 3.3198307903105140e+08 3.3195071537585133e+08 3.3189612427257371e+08 3.3182464993999541e+08 3.3175328612390739e+08 3.3170850849673235e+08 3.3170210488534141e+08 3.3171403722707731e+08 3.3172377305273712e+08 3.3172674618801028e+08 3.3172481816510123e+08 3.3171769215409428e+08 3.3170411460304165e+08 3.3168301557258844e+08 3.3165339831075752e+08 3.3161394264150053e+08 3.3156309341157973e+08 3.3149911820384330e+08 3.3142000063920069e+08 3.3132331636115813e+08 3.3120619621217948e+08 3.3106511761015391e+08 3.3089476751502132e+08 3.3068591432481211e+08 3.3043083307469505e+08 3.3012602161657286e+08 3.2976467967158276e+08 3.2933714194585079e+08 3.2883201731373936e+08 3.2823598823252517e+08 3.2753352263473767e+08 3.2670653312591690e+08 3.2573401234993464e+08 3.2459165439847440e+08 3.2325149244991350e+08 3.2168152175943732e+08 3.1984544544404042e+08 3.1770254650090134e+08 3.1520787269001251e+08 3.1231276417589355e+08 3.0869727822792494e+08 3.0449643136883491e+08 2.9965003060934591e+08 2.9410791822612321e+08 2.8783800594789916e+08 2.8083549869249356e+08 2.7313201183586609e+08 2.6480251111820596e+08 2.5596787140062019e+08 2.4678917322370473e+08 2.3745519425864434e+08 2.2817056346585062e+08 2.1913652331856173e+08 2.1051618270617828e+08 2.0243265353293031e+08 1.9496840714329407e+08 1.8816019477811044e+08 1.8201148222368768e+08 1.7649830522797772e+08 1.7158717868459851e+08 1.6722989659948325e+08 1.6338372427356002e+08 1.5999849447403643e+08 1.5703784835153216e+08 1.5445920725643572e+08 1.5222548803619093e+08 1.5030805556524253e+08 1.4867368239951336e+08 1.4728992589544114e+08 1.4613374737741700e+08 1.4517443331614813e+08 1.4439146107522702e+08 1.4375992214807716e+08 1.4325937098186550e+08 1.4286093992005989e+08 1.4253595709632885e+08 1.4226438875055996e+08 1.4202643488290721e+08 1.4180144081537673e+08 1.4164207608350694e+08 1.4148111403304407e+08 1.4131685555677041e+08 1.4114480332782412e+08 1.4096731146170673e+08 1.4077916400882909e+08 1.4058726806313816e+08 1.4037366287852922e+08 1.4014506136205474e+08 1.3989725734742415e+08 1.3962696635646102e+08 1.3933019717417046e+08 1.3900245361967975e+08 1.3863716114497226e+08 1.3823568171785668e+08 1.3778196562812269e+08 1.3727327324511179e+08 1.3670222377399728e+08 1.3606087426762372e+08 1.3534103352870518e+08 1.3453448540442812e+08 1.3363203269260134e+08 1.3263550460944404e+08 1.3152661306212825e+08 1.3030953034069572e+08 1.2898707174510638e+08 1.2756960995809355e+08 1.2607479341542780e+08 1.2453621400167775e+08 1.2300375704394855e+08 1.2155985136204104e+08 1.2030664648952086e+08 1.1940569964154133e+08 1.1908148990368059e+08 1.1966060811675043e+08 1.2161796489435312e+08 1.2567325165052217e+08 1.3296568746557015e+08 1.4541591588660383e+08 3.5744844075011201e+07 +8.4169723241079790e+00 3.3148948023369467e+08 3.3145716407242519e+08 3.3140264977351213e+08 3.3133127417035294e+08 3.3126000081802630e+08 3.3121526572743183e+08 3.3120883915091449e+08 3.3122071336857736e+08 3.3123038579475462e+08 3.3123329474921125e+08 3.3123129687781692e+08 3.3122409349789774e+08 3.3121043033821911e+08 3.3118923589147216e+08 3.3115951128626692e+08 3.3111993415492886e+08 3.3106894657568789e+08 3.3100481264988756e+08 3.3092551188275766e+08 3.3082861518662846e+08 3.3071124795577967e+08 3.3056988140758431e+08 3.3039919543539035e+08 3.3018994665387923e+08 3.2993438931088436e+08 3.2962900888747472e+08 3.2926700053846169e+08 3.2883868856993043e+08 3.2833266739747721e+08 3.2773560348728889e+08 3.2703194796736413e+08 3.2620359642048150e+08 3.2522952508112222e+08 3.2408541345188171e+08 3.2274328360552317e+08 3.2117112551693934e+08 3.1933264584352416e+08 3.1718714380084819e+08 3.1468970064445066e+08 3.1179171274304003e+08 3.0817310757998395e+08 3.0396926127150601e+08 2.9912018010581058e+08 2.9357595711564714e+08 2.8730479914793712e+08 2.8030223244850963e+08 2.7260018905110824e+08 2.6427390465405124e+08 2.5544442978764057e+08 2.4627288778113869e+08 2.3694794530174485e+08 2.2767395374594444e+08 2.1865174202789062e+08 2.1004396635363379e+08 2.0197328000253895e+08 1.9452173393953758e+08 1.8772575060578677e+08 1.8158855952075124e+08 1.7608605739927268e+08 1.7118467938687894e+08 1.6683621314352775e+08 1.6299793397876477e+08 1.5961972882409909e+08 1.5666527590174863e+08 1.5409206380004311e+08 1.5186307249147341e+08 1.4994971501772773e+08 1.4831882996465120e+08 1.4693804086524442e+08 1.4578435411992979e+08 1.4482712294038537e+08 1.4404586447792581e+08 1.4341572260175997e+08 1.4291629215347683e+08 1.4251876601368096e+08 1.4219453400395030e+08 1.4192360193395972e+08 1.4168621115517673e+08 1.4146175342607588e+08 1.4130276985694641e+08 1.4114219319941854e+08 1.4097832818513611e+08 1.4080668815309137e+08 1.4062962153557962e+08 1.4044192516170990e+08 1.4025048808960819e+08 1.4003739467147890e+08 1.3980934084481767e+08 1.3956213051912540e+08 1.3929248708433548e+08 1.3899642888619989e+08 1.3866947051454824e+08 1.3830505346510717e+08 1.3790453498177549e+08 1.3745190584339389e+08 1.3694443210731080e+08 1.3637475065949363e+08 1.3573493758023283e+08 1.3501682129461625e+08 1.3421220533127607e+08 1.3331191480452107e+08 1.3231777314235909e+08 1.3121153802779645e+08 1.2999737091255511e+08 1.2867808035298909e+08 1.2726401418372862e+08 1.2577277856368101e+08 1.2423788490731055e+08 1.2270909930135705e+08 1.2126865181442280e+08 1.2001844908446503e+08 1.1911966053659004e+08 1.1879622776539534e+08 1.1937395875291355e+08 1.2132662657513539e+08 1.2537219874126753e+08 1.3264716569632229e+08 1.4506756826297319e+08 3.5630711863806680e+07 +8.4219406468822378e+00 3.3099575357885158e+08 3.3096348028874344e+08 3.3090904146971786e+08 3.3083776444727558e+08 3.3076658187637484e+08 3.3072188937197536e+08 3.3071543994014919e+08 3.3072725617140698e+08 3.3073686535650599e+08 3.3073971032971835e+08 3.3073764285763067e+08 3.3073036241236144e+08 3.3071661400811797e+08 3.3069532458560365e+08 3.3066549316504943e+08 3.3062579520135438e+08 3.3057467002386373e+08 3.3051037827302116e+08 3.3043089536358470e+08 3.3033378750684154e+08 3.3021617468431872e+08 3.3007452195314252e+08 3.2990350219558102e+08 3.2969386033476382e+08 3.2943782994838923e+08 3.2913188421191287e+08 3.2876921377053714e+08 3.2834013262582886e+08 3.2783322085725915e+08 3.2723512907944399e+08 3.2653029177630627e+08 3.2570058768816000e+08 3.2472497684351158e+08 3.2357912438047749e+08 3.2223504151211309e+08 3.2066071319622236e+08 3.1881984990848792e+08 3.1667176736132777e+08 3.1417158057539421e+08 3.1127074236178619e+08 3.0764905316752160e+08 3.0344224676730472e+08 2.9859052862816411e+08 2.9304424217429978e+08 2.8677188867671233e+08 2.7976931463818181e+08 2.7206876730756265e+08 2.6374575059632951e+08 2.5492148881403387e+08 2.4575714625975183e+08 2.3644127709667909e+08 2.2717795422630045e+08 2.1816759276621747e+08 2.0957239659101111e+08 2.0151456122692519e+08 1.9407571845439312e+08 1.8729196318495777e+08 1.8116628986679259e+08 1.7567445717830172e+08 1.7078282132327789e+08 1.6644316416905597e+08 1.6261277144936213e+08 1.5924158448953444e+08 1.5629331877124816e+08 1.5372553018603581e+08 1.5150126185951293e+08 1.4959197502703968e+08 1.4796457426564509e+08 1.4658674923455200e+08 1.4543555138730040e+08 1.4448040059973815e+08 1.4370085379118845e+08 1.4307210715478358e+08 1.4257379590035090e+08 1.4217717338485122e+08 1.4185369104764348e+08 1.4158339424121535e+08 1.4134656562799859e+08 1.4112264333852625e+08 1.4096404028720045e+08 1.4080384836863494e+08 1.4064037614767784e+08 1.4046914761175972e+08 1.4029250552007967e+08 1.4010525945676908e+08 1.3991428048220506e+08 1.3970169796043935e+08 1.3947419089245191e+08 1.3922757324654746e+08 1.3895857626689485e+08 1.3866322784427178e+08 1.3833705332069361e+08 1.3797351020701468e+08 1.3757395103811577e+08 1.3712240700346303e+08 1.3661614984294438e+08 1.3604783409307662e+08 1.3540955482953045e+08 1.3469316006595373e+08 1.3389047297970644e+08 1.3299234096156825e+08 1.3200058166852915e+08 1.3089699847160104e+08 1.2968574200719361e+08 1.2836961409910263e+08 1.2695893777654968e+08 1.2547127699279816e+08 1.2394006282954843e+08 1.2241494233433931e+08 1.2097794716851427e+08 1.1973074147848646e+08 1.1883410756240620e+08 1.1851145043592879e+08 1.1908779655522834e+08 1.2103578339132714e+08 1.2507165747791414e+08 1.3232918526007850e+08 1.4471981266708604e+08 3.5516907142395996e+07 +8.4269089696564965e+00 3.3050189245466739e+08 3.3046966496374327e+08 3.3041530414175516e+08 3.3034412502988392e+08 3.3027303350948447e+08 3.3022838362537956e+08 3.3022191144718885e+08 3.3023366983169842e+08 3.3024321593380302e+08 3.3024599712511230e+08 3.3024386030066186e+08 3.3023650309299237e+08 3.3022266980816984e+08 3.3020128584958243e+08 3.3017134814066046e+08 3.3013152997376770e+08 3.3008026794811034e+08 3.3001581926375544e+08 3.2993615527070528e+08 3.2983883750923926e+08 3.2972098058204520e+08 3.2957904342839599e+08 3.2940769197301090e+08 3.2919765954153019e+08 3.2894115915563130e+08 3.2863465175155175e+08 3.2827132352201021e+08 3.2784147825985080e+08 3.2733368182843989e+08 3.2673456913150448e+08 3.2602855816883171e+08 3.2519751101879412e+08 3.2422037170603889e+08 3.2307279122817028e+08 3.2172677018328714e+08 3.2015028877563232e+08 3.1830706157389337e+08 3.1615642106677943e+08 3.1365351630767715e+08 3.1074985678468525e+08 3.0712511865139610e+08 3.0291539140845561e+08 2.9806107959950000e+08 2.9251277667409277e+08 2.8623927763088381e+08 2.7923674816010547e+08 2.7153774928292358e+08 2.6321805138380402e+08 2.5439905066543996e+08 2.4524195058809486e+08 2.3593519131754678e+08 2.2668256633971274e+08 2.1768407674404210e+08 2.0910147443123624e+08 2.0105649804826033e+08 1.9363036138584861e+08 1.8685883309454343e+08 1.8074467374281490e+08 1.7526350496633765e+08 1.7038160483061922e+08 1.6605074996069962e+08 1.6222823692707866e+08 1.5886406167650416e+08 1.5592197713697541e+08 1.5335960656729904e+08 1.5114005627329543e+08 1.4923483570934838e+08 1.4761091540525711e+08 1.4623605109495017e+08 1.4508733926232779e+08 1.4413426637036109e+08 1.4335642908618125e+08 1.4272907587457883e+08 1.4223188228733435e+08 1.4183616209691226e+08 1.4151342828969207e+08 1.4124376573413721e+08 1.4100749836269274e+08 1.4078411061401954e+08 1.4062588743554556e+08 1.4046607960184115e+08 1.4030299950565380e+08 1.4013218176511368e+08 1.3995596347596505e+08 1.3976916695478040e+08 1.3957864530169073e+08 1.3936657280616054e+08 1.3913961156559321e+08 1.3889358558976915e+08 1.3862523396457791e+08 1.3833059410860032e+08 1.3800520209820557e+08 1.3764253143073553e+08 1.3724392994658622e+08 1.3679346916787255e+08 1.3628842651116839e+08 1.3572147413386551e+08 1.3508472607426596e+08 1.3437004990130699e+08 1.3356928840773682e+08 1.3267331122170030e+08 1.3168393024511901e+08 1.3058299445029798e+08 1.2937464368080759e+08 1.2806167303926307e+08 1.2665438079140696e+08 1.2517028875738254e+08 1.2364274782217537e+08 1.2212128619603007e+08 1.2068773747673604e+08 1.1944352372356361e+08 1.1854904077058105e+08 1.1822715796660213e+08 1.1880212157521212e+08 1.2074543539544737e+08 1.2477162791467810e+08 1.3201174621436174e+08 1.4437264916164744e+08 3.5403429143758148e+07 +8.4318772924307552e+00 3.3000790678108793e+08 3.2997572665590507e+08 3.2992144139819443e+08 3.2985036020580828e+08 3.2977935988663214e+08 3.2973475266825908e+08 3.2972825785185689e+08 3.2973995853105676e+08 3.2974944170707750e+08 3.2975215931646842e+08 3.2974995338743496e+08 3.2974251971993303e+08 3.2972860191806823e+08 3.2970712386273688e+08 3.2967708039163613e+08 3.2963714265004492e+08 3.2958574452519113e+08 3.2952113979725069e+08 3.2944129577770674e+08 3.2934376936506867e+08 3.2922566981849140e+08 3.2908344999942797e+08 3.2891176893107009e+08 3.2870134843260396e+08 3.2844438108639538e+08 3.2813731565351605e+08 3.2777333393254679e+08 3.2734272960204452e+08 3.2683405443075919e+08 3.2623392775073034e+08 3.2552675123716879e+08 3.2469437048660183e+08 3.2371571372144264e+08 3.2256641802229553e+08 3.2121847361629677e+08 3.1963985621643150e+08 3.1779428475876963e+08 3.1564110878574634e+08 3.1313551164867979e+08 3.1022905974788451e+08 3.0660130767646003e+08 3.0238869873097342e+08 2.9753183642647249e+08 2.9198156387032622e+08 2.8570696909120411e+08 2.7870453589628357e+08 2.7100713763872808e+08 2.6269080943866724e+08 2.5387711751240179e+08 2.4472730267956394e+08 2.3542968962497526e+08 2.2618779150580448e+08 2.1720119515956786e+08 2.0863120087543526e+08 2.0059909129764962e+08 1.9318566342189601e+08 1.8642636090378344e+08 1.8032371162100032e+08 1.7485320115699944e+08 1.6998103023819226e+08 1.6565897079522362e+08 1.6184433064591423e+08 1.5848716058398190e+08 1.5555125116883481e+08 1.5299429308957192e+08 1.5077945585866857e+08 1.4887829717444238e+08 1.4725785347959295e+08 1.4588594653195199e+08 1.4473971782169580e+08 1.4378872032221657e+08 1.4301259042781273e+08 1.4238662882251593e+08 1.4189055137334016e+08 1.4149573220712683e+08 1.4117374578636923e+08 1.4090471646846509e+08 1.4066900941494700e+08 1.4044615530792674e+08 1.4028831135725179e+08 1.4012888695418018e+08 1.3996619831397936e+08 1.3979579066794819e+08 1.3961999545823666e+08 1.3943364771085396e+08 1.3924358260279867e+08 1.3903201926326081e+08 1.3880560291879001e+08 1.3856016760379353e+08 1.3829246023159742e+08 1.3799852773352832e+08 1.3767391690128908e+08 1.3731211719016263e+08 1.3691447176112542e+08 1.3646509239040932e+08 1.3596126216579065e+08 1.3539567083512974e+08 1.3476045136732590e+08 1.3404749085355316e+08 1.3324865166795491e+08 1.3235482563684988e+08 1.3136781892375802e+08 1.3026952601535951e+08 1.2906407598420584e+08 1.2775425722371721e+08 1.2635034327831759e+08 1.2486981390649165e+08 1.2334593993375403e+08 1.2182813093446703e+08 1.2039802278644246e+08 1.1915679586665069e+08 1.1826446020753610e+08 1.1794335040407133e+08 1.1851693385981494e+08 1.2045558263495876e+08 1.2447211010065681e+08 1.3169484861102946e+08 1.4402607780355003e+08 3.5290277101823449e+07 +8.4368456152050140e+00 3.2951379976713699e+08 3.2948166667822444e+08 3.2942745725901771e+08 3.2935647425499338e+08 3.2928556514124280e+08 3.2924100066613305e+08 3.2923448331850535e+08 3.2924612643570507e+08 3.2925554684224510e+08 3.2925820106891435e+08 3.2925592628335875e+08 3.2924841645816237e+08 3.2923441450225663e+08 3.2921284278924501e+08 3.2918269408190727e+08 3.2914263739234573e+08 3.2909110391640824e+08 3.2902634403345561e+08 3.2894632104228455e+08 3.2884858723050117e+08 3.2873024654683989e+08 3.2858774581739753e+08 3.2841573721665281e+08 3.2820493115034312e+08 3.2794749987791920e+08 3.2763988004907227e+08 3.2727524912592673e+08 3.2684389076739103e+08 3.2633434276780534e+08 3.2573320902847004e+08 3.2502487505778897e+08 3.2419117015046585e+08 3.2321100692746854e+08 3.2206000877512878e+08 3.2071015579323781e+08 3.1912941946482968e+08 3.1728152336666977e+08 3.1512583437057310e+08 3.1261757039097661e+08 3.0970835497201562e+08 3.0607762387159151e+08 3.0186217225379306e+08 2.9700280249881101e+08 2.9145060700155109e+08 2.8517496612185478e+08 2.7817268071254927e+08 2.7047693502064604e+08 2.6216402716743547e+08 2.5335569151023400e+08 2.4421320443316922e+08 2.3492477366543570e+08 2.2569363113055485e+08 2.1671894919864559e+08 2.0816157691352928e+08 2.0014234179589540e+08 1.9274162524033836e+08 1.8599454717231998e+08 1.7990340396454701e+08 1.7444354613458622e+08 1.6958109786674210e+08 1.6526782694163445e+08 1.6146105283252352e+08 1.5811088140382004e+08 1.5518114102999568e+08 1.5262958989233923e+08 1.5041946073529941e+08 1.4852235952575424e+08 1.4690538857873547e+08 1.4553643562483776e+08 1.4439268713622057e+08 1.4344376251941004e+08 1.4266933787510833e+08 1.4204476605383602e+08 1.4154980321121749e+08 1.4115588376685753e+08 1.4083464358806849e+08 1.4056624649431980e+08 1.4033109883423808e+08 1.4010877746968696e+08 1.3995131210172984e+08 1.3979227047504511e+08 1.3962997262217045e+08 1.3945997436959162e+08 1.3928460151615614e+08 1.3909870177386367e+08 1.3890909243466672e+08 1.3869803738076302e+08 1.3847216500090948e+08 1.3822731933704022e+08 1.3796025511691624e+08 1.3766702876771888e+08 1.3734319777854097e+08 1.3698226753381002e+08 1.3658557652989465e+08 1.3613727671899056e+08 1.3563465685445178e+08 1.3507042424456233e+08 1.3443673075642449e+08 1.3372548296981782e+08 1.3292856280715153e+08 1.3203688425378165e+08 1.3105224775079784e+08 1.2995659321248758e+08 1.2875403896291196e+08 1.2744736669746083e+08 1.2604682528160492e+08 1.2456985248414128e+08 1.2304963920784533e+08 1.2153547659238406e+08 1.2010880314005838e+08 1.1887055794967771e+08 1.1798036591506352e+08 1.1766002778967264e+08 1.1823223345052753e+08 1.2016622515226154e+08 1.2417310407963628e+08 1.3137849249639903e+08 1.4368009864337909e+08 3.5177450251476973e+07 +8.4418139379792727e+00 3.2901957290302598e+08 3.2898748748711151e+08 3.2893335588884914e+08 3.2886247132216507e+08 3.2879165338356775e+08 3.2874713177017206e+08 3.2874059199755734e+08 3.2875217769612670e+08 3.2876153548848855e+08 3.2876412653302836e+08 3.2876178313827276e+08 3.2875419745771497e+08 3.2874011171041238e+08 3.2871844677762711e+08 3.2868819335903937e+08 3.2864801834838301e+08 3.2859635026752204e+08 3.2853143611726648e+08 3.2845123520784152e+08 3.2835329524623501e+08 3.2823471490597165e+08 3.2809193501750469e+08 3.2791960096186560e+08 3.2770841182334763e+08 3.2745051965261352e+08 3.2714234905415428e+08 3.2677707321072137e+08 3.2634496585525584e+08 3.2583455092901981e+08 3.2523241704067570e+08 3.2452293369148833e+08 3.2368791405283779e+08 3.2270625534488422e+08 3.2155356748236656e+08 3.2020182067992967e+08 3.1861898245077187e+08 3.1676878128406256e+08 3.1461060165696537e+08 3.1209969630962449e+08 3.0918774616068661e+08 3.0555407084815508e+08 3.0133581547938961e+08 2.9647398118987167e+08 2.9091990928995121e+08 2.8464327177029008e+08 2.7764118545851761e+08 2.6994714405786777e+08 2.6163770696144855e+08 2.5283477479923040e+08 2.4369965773329183e+08 2.3442044507157645e+08 2.2520008660767540e+08 2.1623734003473157e+08 2.0769260352394280e+08 1.9968625035227442e+08 1.9229824750881472e+08 1.8556339245065641e+08 1.7948375122780836e+08 1.7403454027574351e+08 1.6918180802952012e+08 1.6487731866181171e+08 1.6107840370610994e+08 1.5773522432087374e+08 1.5481164687666839e+08 1.5226549710811940e+08 1.5006007101638979e+08 1.4816702286007762e+08 1.4655352078647888e+08 1.4518751844662145e+08 1.4404624727041835e+08 1.4309939301987857e+08 1.4232667148101392e+08 1.4170348761822465e+08 1.4120963784802052e+08 1.4081661682153448e+08 1.4049612173950014e+08 1.4022835585551074e+08 1.3999376666449609e+08 1.3977197714299533e+08 1.3961488971248016e+08 1.3945623020793870e+08 1.3929432247347990e+08 1.3912473291355002e+08 1.3894978169305119e+08 1.3876432918734658e+08 1.3857517484060496e+08 1.3836462720177454e+08 1.3813929785524878e+08 1.3789504083281556e+08 1.3762861866340384e+08 1.3733609725394371e+08 1.3701304477243656e+08 1.3665298250426656e+08 1.3625724429553878e+08 1.3581002219615009e+08 1.3530861061941510e+08 1.3474573440432674e+08 1.3411356428322250e+08 1.3340402629183125e+08 1.3260902186690679e+08 1.3171948711358675e+08 1.3073721676698975e+08 1.2964419608230215e+08 1.2844453265698221e+08 1.2714100150024368e+08 1.2574382684055831e+08 1.2427040452918419e+08 1.2275384568269385e+08 1.2124332320800337e+08 1.1982007857505697e+08 1.1858481000971471e+08 1.1769675792986436e+08 1.1737719016025157e+08 1.1794802038440762e+08 1.1987736298482782e+08 1.2387460989023465e+08 1.3106267791148479e+08 1.4333471172589970e+08 3.5064947828562170e+07 +8.4467822607535314e+00 3.2852523647040731e+08 3.2849319729967332e+08 3.2843914230985612e+08 3.2836835544497067e+08 3.2829762871794766e+08 3.2825315011650759e+08 3.2824658802380353e+08 3.2825811644741774e+08 3.2826741178096330e+08 3.2826993984369123e+08 3.2826752808697695e+08 3.2825986685281962e+08 3.2824569767627406e+08 3.2822393996157420e+08 3.2819358235592300e+08 3.2815328964964956e+08 3.2810148770929360e+08 3.2803642017777240e+08 3.2795604240210158e+08 3.2785789753825718e+08 3.2773907901901817e+08 3.2759602172017372e+08 3.2742336428338265e+08 3.2721179456315148e+08 3.2695344451759070e+08 3.2664472676960617e+08 3.2627881027960289e+08 3.2584595894994724e+08 3.2533468298713332e+08 3.2473155584798348e+08 3.2402093118350708e+08 3.2318460622116458e+08 3.2220146298013806e+08 3.2104709812463325e+08 3.1969347222638559e+08 3.1810854908797818e+08 3.1625606238263333e+08 3.1409541446536160e+08 3.1158189316411537e+08 3.0866723700124687e+08 3.0503065220240629e+08 3.0080963189420044e+08 2.9594537585663348e+08 2.9038947394110078e+08 2.8411188906715983e+08 2.7711005296692485e+08 2.6941776736349726e+08 2.6111185119564012e+08 2.5231436950400808e+08 2.4318666444985405e+08 2.3391670546210393e+08 2.2470715931725916e+08 2.1575636882897305e+08 2.0722428167339858e+08 1.9923081776643923e+08 1.9185553088547239e+08 1.8513289727961135e+08 1.7906475385634491e+08 1.7362618394844446e+08 1.6878316103152442e+08 1.6448744620928529e+08 1.6069638347937107e+08 1.5736018951293245e+08 1.5444276885839027e+08 1.5190201486317861e+08 1.4970128680863002e+08 1.4781228726811895e+08 1.4620225018038914e+08 1.4483919506414571e+08 1.4370039828260136e+08 1.4275561187557077e+08 1.4198459129273447e+08 1.4136279355909330e+08 1.4087005532495543e+08 1.4047793141083807e+08 1.4015818027929637e+08 1.3989104459060121e+08 1.3965701294365934e+08 1.3943575436569703e+08 1.3927904422749469e+08 1.3912076619070086e+08 1.3895924790577266e+08 1.3879006633741719e+08 1.3861553602650961e+08 1.3843052998874161e+08 1.3824182985792884e+08 1.3803178876393294e+08 1.3780700151899338e+08 1.3756333212831250e+08 1.3729755090828863e+08 1.3700573322948930e+08 1.3668345792037761e+08 1.3632426213859078e+08 1.3592947509482577e+08 1.3548332885859671e+08 1.3498312349743119e+08 1.3442160135052535e+08 1.3379095198422252e+08 1.3308312085553998e+08 1.3229002888307649e+08 1.3140263425194590e+08 1.3042272600780155e+08 1.2933233465969154e+08 1.2813555710118730e+08 1.2683516166638699e+08 1.2544134798933746e+08 1.2397147007522957e+08 1.2245855939147569e+08 1.2095167081383252e+08 1.1953184912379064e+08 1.1829955207878001e+08 1.1741363628382578e+08 1.1709483754741699e+08 1.1766429469319379e+08 1.1958899616508523e+08 1.2357662756604859e+08 1.3074740489177407e+08 1.4298991708996063e+08 3.4952769069884360e+07 +8.4517505835277902e+00 3.2803078952895367e+08 3.2799879676844209e+08 3.2794481994813013e+08 3.2787413067057031e+08 3.2780349525208026e+08 3.2775905982510716e+08 3.2775247551784104e+08 3.2776394680911344e+08 3.2777317983920032e+08 3.2777564512091124e+08 3.2777316524908352e+08 3.2776542876274514e+08 3.2775117651896966e+08 3.2772932645936358e+08 3.2769886519053578e+08 3.2765845541290963e+08 3.2760652035766041e+08 3.2754130032919842e+08 3.2746074673751879e+08 3.2736239821675056e+08 3.2724334299363488e+08 3.2710001003061491e+08 3.2692703128270054e+08 3.2671508346700710e+08 3.2645627856438118e+08 3.2614701728062987e+08 3.2578046441015339e+08 3.2534687411931503e+08 3.2483474300043070e+08 3.2423062949531305e+08 3.2351887156371439e+08 3.2268125066726172e+08 3.2169663382329249e+08 3.2054060466645944e+08 3.1918511436674184e+08 3.1759812327442598e+08 3.1574337051720458e+08 3.1358027659982896e+08 3.1106416469797480e+08 3.0814683116477674e+08 3.0450737151288795e+08 3.0028362496791714e+08 2.9541698983936590e+08 2.8985930414397132e+08 2.8358082102764106e+08 2.7657928605473936e+08 2.6888880753507358e+08 2.6058646222959167e+08 2.5179447773438770e+08 2.4267422643824857e+08 2.3341355644191718e+08 2.2421485062671137e+08 2.1527603673092264e+08 2.0675661231739673e+08 1.9877604482654098e+08 1.9141347601802257e+08 1.8470306219119197e+08 1.7864641228697225e+08 1.7321847751240090e+08 1.6838515716994378e+08 1.6409820983063951e+08 1.6031499235677600e+08 1.5698577715081310e+08 1.5407450711794665e+08 1.5153914327678668e+08 1.4934310821210742e+08 1.4745815283445388e+08 1.4585157683186197e+08 1.4449146553851172e+08 1.4335514022555122e+08 1.4241241913251859e+08 1.4164309735132039e+08 1.4102268391415122e+08 1.4053105567726323e+08 1.4013982756857434e+08 1.3982081924038714e+08 1.3955431273195827e+08 1.3932083770393535e+08 1.3910010916988644e+08 1.3894377567866212e+08 1.3878587845527378e+08 1.3862474895108536e+08 1.3845597467311004e+08 1.3828186454846686e+08 1.3809730421004224e+08 1.3790905751862800e+08 1.3769952209881169e+08 1.3747527602396628e+08 1.3723219325524914e+08 1.3696705188321972e+08 1.3667593672574517e+08 1.3635443725375766e+08 1.3599610646815202e+08 1.3560226895903736e+08 1.3515719673749179e+08 1.3465819551945895e+08 1.3409802511454096e+08 1.3346889388994583e+08 1.3276276669172816e+08 1.3197158388587612e+08 1.3108632569901781e+08 1.3010877550314449e+08 1.2902100897449213e+08 1.2782711232506883e+08 1.2652984722506583e+08 1.2513938875659248e+08 1.2367304915064156e+08 1.2216378036256965e+08 1.2066051943779324e+08 1.1924411481382023e+08 1.1801478418417208e+08 1.1713100100385788e+08 1.1681296997814797e+08 1.1738105640406494e+08 1.1930112472045730e+08 1.2327915713557467e+08 1.3043267346725884e+08 1.4264571476830748e+08 3.4840913213214211e+07 +8.4567189063020489e+00 3.2753623677447104e+08 3.2750429209858882e+08 3.2745039251654941e+08 3.2737980106869888e+08 3.2730925710041177e+08 3.2726486500076097e+08 3.2725825858512247e+08 3.2726967288547939e+08 3.2727884376722556e+08 3.2728124646885067e+08 3.2727869872916520e+08 3.2727088729127049e+08 3.2725655234178531e+08 3.2723461037397677e+08 3.2720404596487945e+08 3.2716351973954099e+08 3.2711145231267899e+08 3.2704608067057675e+08 3.2696535231130350e+08 3.2686680137748361e+08 3.2674751092264915e+08 3.2660390403779250e+08 3.2643060604541284e+08 3.2621828261695832e+08 3.2595902586948872e+08 3.2564922465693372e+08 3.2528203966514564e+08 3.2484771541699666e+08 3.2433473501076388e+08 3.2372964201197398e+08 3.2301675884651929e+08 3.2217785138696605e+08 3.2119177184871817e+08 3.2003409105674803e+08 3.1867675101957542e+08 3.1708770889279068e+08 3.1523070952656168e+08 3.1306519184757406e+08 3.1054651463754314e+08 3.0762653230674618e+08 3.0398423234278846e+08 2.9975779815347755e+08 2.9488882646188527e+08 2.8932940307126337e+08 2.8305007064945024e+08 2.7604888752241200e+08 2.6836026715372252e+08 2.6006154240756389e+08 2.5127510158501157e+08 2.4216234553920555e+08 2.3291099960244182e+08 2.2372316188999680e+08 2.1479634487732700e+08 2.0628959639989987e+08 1.9832193231065246e+08 1.9097208354455855e+08 1.8427388770742583e+08 1.7822872694766459e+08 1.7281142131904635e+08 1.6798779673428649e+08 1.6370960976496452e+08 1.5993423053602508e+08 1.5661198739856803e+08 1.5370686179113483e+08 1.5117688246183231e+08 1.4898553532080355e+08 1.4710461963690996e+08 1.4550150080608693e+08 1.4414432992429903e+08 1.4301047314558473e+08 1.4206981483082604e+08 1.4130218969210428e+08 1.4068315871517566e+08 1.4019263893451554e+08 1.3980230532258558e+08 1.3948403864999267e+08 1.3921816030603924e+08 1.3898524097174451e+08 1.3876504158184898e+08 1.3860908409230205e+08 1.3845156702787894e+08 1.3829082563530868e+08 1.3812245794680461e+08 1.3794876728499413e+08 1.3776465187725481e+08 1.3757685784853664e+08 1.3736782723245168e+08 1.3714412139612845e+08 1.3690162423937121e+08 1.3663712161408359e+08 1.3634670776860064e+08 1.3602598279826203e+08 1.3566851551862240e+08 1.3527562591382802e+08 1.3483162585832107e+08 1.3433382671094114e+08 1.3377500572144993e+08 1.3314739002586354e+08 1.3244296382534751e+08 1.3165368690055072e+08 1.3077056147970499e+08 1.2979536527766624e+08 1.2871021905118175e+08 1.2751919835262403e+08 1.2622505820029940e+08 1.2483794916611841e+08 1.2337514177898628e+08 1.2186950861873725e+08 1.2036986910279876e+08 1.1895687566759734e+08 1.1773050634809130e+08 1.1684885211216654e+08 1.1653158747456868e+08 1.1709830553916669e+08 1.1901374867368285e+08 1.2298219862203196e+08 1.3011848366270605e+08 1.4230210478784916e+08 3.4729379497291103e+07 +8.4616872290763077e+00 3.2704158966754663e+08 3.2700968565041518e+08 3.2695586435533226e+08 3.2688537073367018e+08 3.2681491837812924e+08 3.2677056973310393e+08 3.2676394131648749e+08 3.2677529876551455e+08 3.2678440765402508e+08 3.2678674797674531e+08 3.2678413261607063e+08 3.2677624652734560e+08 3.2676182923347789e+08 3.2673979579341114e+08 3.2670912876603627e+08 3.2666848671598798e+08 3.2661628765945709e+08 3.2655076528542209e+08 3.2646986320524853e+08 3.2637111109937954e+08 3.2625158688338727e+08 3.2610770781662601e+08 3.2593409264300603e+08 3.2572139607884842e+08 3.2546169049396890e+08 3.2515135295306647e+08 3.2478354009099919e+08 3.2434848688070005e+08 3.2383466304528201e+08 3.2322859741203046e+08 3.2251459703006315e+08 3.2167441236079860e+08 3.2068688101542270e+08 3.1952756122882086e+08 3.1816838608761525e+08 3.1657730980887365e+08 3.1471808323413062e+08 3.1255016398089886e+08 3.1002894669462210e+08 3.0710634406549358e+08 3.0346123823874295e+08 2.9923215488781184e+08 2.9436088903153259e+08 2.8879977387889254e+08 2.8251964091454720e+08 2.7551886015457612e+08 2.6783214878479266e+08 2.5953709405796322e+08 2.5075624313580611e+08 2.4165102357927519e+08 2.3240903652139443e+08 2.2323209444868526e+08 2.1431729439273569e+08 2.0582323485380659e+08 1.9786848098582301e+08 1.9053135409295145e+08 1.8384537434182993e+08 1.7781169825780305e+08 1.7240501571172112e+08 1.6759108000607803e+08 1.6332164624360847e+08 1.5955409820803162e+08 1.5623882041289434e+08 1.5333983300742376e+08 1.5081523252489054e+08 1.4862856822213754e+08 1.4675168774737406e+08 1.4515202216204873e+08 1.4379778827035031e+08 1.4266639708329782e+08 1.4172779900483125e+08 1.4096186834452632e+08 1.4034421798836648e+08 1.3985480512047812e+08 1.3946536469539952e+08 1.3914783852950442e+08 1.3888258733398420e+08 1.3865022276784223e+08 1.3843055162227869e+08 1.3827496948889792e+08 1.3811783192906001e+08 1.3795747797921360e+08 1.3778951617905504e+08 1.3761624425671890e+08 1.3743257301079756e+08 1.3724523086818385e+08 1.3703670418528363e+08 1.3681353765578413e+08 1.3657162510119262e+08 1.3630776012103516e+08 1.3601804637830359e+08 1.3569809457412288e+08 1.3534148931023657e+08 1.3494954597925013e+08 1.3450661624118453e+08 1.3401001709176537e+08 1.3345254319112992e+08 1.3282644041157736e+08 1.3212371227616873e+08 1.3133633794643939e+08 1.3045534161330134e+08 1.2948249535059375e+08 1.2839996490882796e+08 1.2721181520287588e+08 1.2592079461071652e+08 1.2453702923634255e+08 1.2307774797847214e+08 1.2157574417833789e+08 1.2007971982654548e+08 1.1867013170273651e+08 1.1744671858799566e+08 1.1656718962608677e+08 1.1625069005402900e+08 1.1681604211590983e+08 1.1872686804218045e+08 1.2268575204366496e+08 1.2980483549736205e+08 1.4195908716979221e+08 3.4618167161826700e+07 +8.4666555518505664e+00 3.2654683961734945e+08 3.2651498155602247e+08 3.2646123977417308e+08 3.2639084378994560e+08 3.2632048319280946e+08 3.2627617809603614e+08 3.2626952778737050e+08 3.2628082852261722e+08 3.2628987557393235e+08 3.2629215371931618e+08 3.2628947098364663e+08 3.2628151054462552e+08 3.2626701126699704e+08 3.2624488678987187e+08 3.2621411766593987e+08 3.2617336041301298e+08 3.2612103046770293e+08 3.2605535824201691e+08 3.2597428348590845e+08 3.2587533144724381e+08 3.2575557493824184e+08 3.2561142542570007e+08 3.2543749513038808e+08 3.2522442790403128e+08 3.2496427648328382e+08 3.2465340620854515e+08 3.2428496971928632e+08 3.2384919253261203e+08 3.2333453111527640e+08 3.2272749969407916e+08 3.2201239009809327e+08 3.2117093755385125e+08 3.2018196526651019e+08 3.1902101909976786e+08 3.1766002345717347e+08 3.1606692987355888e+08 3.1420549544738328e+08 3.1203519675562620e+08 3.0951146456294322e+08 3.0658627006307334e+08 3.0293839273062193e+08 2.9870669859167761e+08 2.9383318083927232e+08 2.8827041970702624e+08 2.8198953478872120e+08 2.7498920671915329e+08 2.6730445497792694e+08 2.5901311949393755e+08 2.5023790445120943e+08 2.4114026237064987e+08 2.3190766876224300e+08 2.2274164963129243e+08 2.1383888639025789e+08 2.0535752860054991e+08 1.9741569160900557e+08 1.9009128828190285e+08 1.8341752259811911e+08 1.7739532662814960e+08 1.7199926102544478e+08 1.6719500725914493e+08 1.6293431949050862e+08 1.5917459555575955e+08 1.5586627634403494e+08 1.5297342088938254e+08 1.5045419356575030e+08 1.4827220699728310e+08 1.4639935723167649e+08 1.4480314095291391e+08 1.4345184061938277e+08 1.4232291207329866e+08 1.4138637168261710e+08 1.4062213333221704e+08 1.4000586175375354e+08 1.3951755425292876e+08 1.3912900570322248e+08 1.3881221889450371e+08 1.3854759383107617e+08 1.3831578310729820e+08 1.3809663930602950e+08 1.3794143188342434e+08 1.3778467317372900e+08 1.3762470599769679e+08 1.3745714938451964e+08 1.3728429547823098e+08 1.3710106762560108e+08 1.3691417659244224e+08 1.3670615297203532e+08 1.3648352481757733e+08 1.3624219585538453e+08 1.3597896741880086e+08 1.3568995256948960e+08 1.3537077259589511e+08 1.3501502785741699e+08 1.3462402916979229e+08 1.3418216790042382e+08 1.3368676667639625e+08 1.3313063753802443e+08 1.3250604506148624e+08 1.3180501205838354e+08 1.3101953703768539e+08 1.3014066611401153e+08 1.2917016573583965e+08 1.2809024656100708e+08 1.2690496288945657e+08 1.2561705646980450e+08 1.2423662898071717e+08 1.2278086776238018e+08 1.2128248705434893e+08 1.1979007162213065e+08 1.1838388293201287e+08 1.1716342091653112e+08 1.1628601355809550e+08 1.1597027772882922e+08 1.1653426614690852e+08 1.1844048283893938e+08 1.2238981741364099e+08 1.2949172898522361e+08 1.4161666192938116e+08 3.4507275447508097e+07 +8.4716238746248251e+00 3.2605199931177974e+08 3.2602018812393343e+08 3.2596652304641330e+08 3.2589622441426617e+08 3.2582595563005376e+08 3.2578169414873755e+08 3.2577502205829108e+08 3.2578626621518773e+08 3.2579525158531207e+08 3.2579746775505012e+08 3.2579471789096326e+08 3.2578668340138954e+08 3.2577210250003707e+08 3.2574988742109483e+08 3.2571901672137409e+08 3.2567814488624108e+08 3.2562568479203951e+08 3.2555986359379679e+08 3.2547861720481336e+08 3.2537946647083825e+08 3.2525947913342327e+08 3.2511506090930903e+08 3.2494081754800779e+08 3.2472738212845600e+08 3.2446678786795032e+08 3.2415538844712275e+08 3.2378633256614041e+08 3.2334983637977129e+08 3.2283434321675360e+08 3.2222635284122539e+08 3.2151014201772344e+08 3.2066743091535193e+08 3.1967702852984124e+08 3.1851446857218808e+08 3.1715166700019813e+08 3.1555657292120671e+08 3.1369294995712960e+08 3.1152029391132563e+08 3.0899407192199570e+08 3.0606631390675312e+08 3.0241569933246773e+08 2.9818143266895449e+08 2.9330570516002125e+08 2.8774134367886466e+08 2.8145975522083056e+08 2.7445992996849138e+08 2.6677718826666114e+08 2.5848962101284793e+08 2.4972008758108008e+08 2.4063006371093747e+08 2.3140689787575373e+08 2.2225182875347215e+08 2.1336112197073615e+08 2.0489247855056551e+08 1.9696356492644909e+08 1.8965188671953672e+08 1.8299033297127587e+08 1.7697961246074548e+08 1.7159415758720598e+08 1.6679957875961477e+08 1.6254762972236913e+08 1.5879572275572097e+08 1.5549435533532763e+08 1.5260762555289972e+08 1.5009376567791033e+08 1.4791645172111070e+08 1.4604762814918074e+08 1.4445485722553521e+08 1.4310648700828722e+08 1.4198001814435887e+08 1.4104553288675681e+08 1.4028298467287466e+08 1.3966809002588591e+08 1.3918088634420121e+08 1.3879322835705468e+08 1.3847717975512004e+08 1.3821317980675840e+08 1.3798192199940318e+08 1.3776330464237210e+08 1.3760847128511384e+08 1.3745209077109084e+08 1.3729250969975540e+08 1.3712535757249936e+08 1.3695292095892915e+08 1.3677013573069492e+08 1.3658369503026131e+08 1.3637617360173404e+08 1.3615408289081147e+08 1.3591333651096407e+08 1.3565074351650622e+08 1.3536242635115686e+08 1.3504401687266204e+08 1.3468913116935831e+08 1.3429907549442965e+08 1.3385828084510419e+08 1.3336407547380716e+08 1.3280928877085902e+08 1.3218620398437941e+08 1.3148686318077753e+08 1.3070328418311568e+08 1.2982653499044178e+08 1.2885837644192411e+08 1.2778106401647025e+08 1.2659864142090908e+08 1.2531384378611499e+08 1.2393674840747593e+08 1.2248450113897234e+08 1.2098973725484614e+08 1.1950092449732663e+08 1.1809812936337307e+08 1.1688061334161645e+08 1.1600532391602589e+08 1.1569035050686674e+08 1.1625297763976896e+08 1.1815459307174136e+08 1.2209439474028069e+08 1.2917916413491450e+08 1.4127482907607016e+08 3.4396703596001282e+07 +8.4765921973990839e+00 3.2555706910765046e+08 3.2552530565139586e+08 3.2547171687069243e+08 3.2540151682159108e+08 3.2533133974544233e+08 3.2528712193442720e+08 3.2528042817407191e+08 3.2529161588621563e+08 3.2530053973163557e+08 3.2530269412790245e+08 3.2529987738162118e+08 3.2529176914066672e+08 3.2527710697604048e+08 3.2525480172918415e+08 3.2522382997394514e+08 3.2518284417684054e+08 3.2513025467196602e+08 3.2506428537864757e+08 3.2498286839848572e+08 3.2488352020410627e+08 3.2476330350073534e+08 3.2461861829578125e+08 3.2444406392059141e+08 3.2423026277192485e+08 3.2396922866312760e+08 3.2365730367709804e+08 3.2328763263259500e+08 3.2285042241356796e+08 3.2233410333020663e+08 3.2172516082101613e+08 3.2100785674182934e+08 3.2016389637923717e+08 3.1917207471742260e+08 3.1800791353132534e+08 3.1664332057155669e+08 3.1504624277089703e+08 3.1318045053867650e+08 3.1100545917183870e+08 3.0847677243414837e+08 3.0554647918595493e+08 3.0189316154207295e+08 2.9765636050755513e+08 2.9277846525169039e+08 2.8721254890133590e+08 2.8093030514417785e+08 2.7393103263842517e+08 2.6625035116872507e+08 2.5796660089705467e+08 2.4920279456024954e+08 2.4012042938374996e+08 2.3090672539853358e+08 2.2176263311792138e+08 2.1288400222262976e+08 2.0442808560294271e+08 1.9651210167410839e+08 1.8921315000497979e+08 1.8256380594696715e+08 1.7656455614915594e+08 1.7118970571571323e+08 1.6640479476567608e+08 1.6216157714840421e+08 1.5841747997712019e+08 1.5512305752295434e+08 1.5224244710731232e+08 1.4973394894828796e+08 1.4756130246206850e+08 1.4569650055338553e+08 1.4410717102082175e+08 1.4276172746775860e+08 1.4163771531911165e+08 1.4070528263395810e+08 1.3994442237872830e+08 1.3933090281354600e+08 1.3884480140081593e+08 1.3845803266181380e+08 1.3814272111545196e+08 1.3787934526501223e+08 1.3764863944778475e+08 1.3743054763491872e+08 1.3727608769761276e+08 1.3712008472463790e+08 1.3696088908907673e+08 1.3679414074667951e+08 1.3662212070221046e+08 1.3643977732981610e+08 1.3625378618525660e+08 1.3604676607804453e+08 1.3582521187887904e+08 1.3558504707156083e+08 1.3532308841773558e+08 1.3503546772704610e+08 1.3471782740800190e+08 1.3436379924952936e+08 1.3397468495670179e+08 1.3353495507862619e+08 1.3304194348739572e+08 1.3248849689330088e+08 1.3186691718358126e+08 1.3116926564676456e+08 1.3038757938609391e+08 1.2951294824597993e+08 1.2854712747235779e+08 1.2747241727852938e+08 1.2629285080046776e+08 1.2501115656281158e+08 1.2363738751992141e+08 1.2218864811128326e+08 1.2069749478303954e+08 1.1921227845559315e+08 1.1781287099992369e+08 1.1659829586619204e+08 1.1572512070278823e+08 1.1541090839117338e+08 1.1597217659766962e+08 1.1786919874375418e+08 1.2179948402656801e+08 1.2886714094993743e+08 1.4093358861352590e+08 3.4286450849954441e+07 +8.4815605201733426e+00 3.2506205342439246e+08 3.2503033762188065e+08 3.2497682615554136e+08 3.2490672512900752e+08 3.2483663956036222e+08 3.2479246548091280e+08 3.2478575016458738e+08 3.2479688156396484e+08 3.2480574404155600e+08 3.2480783686656910e+08 3.2480495348339736e+08 3.2479677179059047e+08 3.2478202872225618e+08 3.2475963374139190e+08 3.2472856144998217e+08 3.2468746230970794e+08 3.2463474413165659e+08 3.2456862761916965e+08 3.2448704108781111e+08 3.2438749666596478e+08 3.2426705205707699e+08 3.2412210159891522e+08 3.2394723825822240e+08 3.2373307384079254e+08 3.2347160286850709e+08 3.2315915589219958e+08 3.2278887390381646e+08 3.2235095461067635e+08 3.2183381542127317e+08 3.2122392758550650e+08 3.2050553820635414e+08 3.1966033786402869e+08 3.1866710772544193e+08 3.1750135784851849e+08 3.1613498801131821e+08 3.1453594322579700e+08 3.1266800095241857e+08 3.1049069624486703e+08 3.0795956974580568e+08 3.0502676947474915e+08 3.0137078284083110e+08 2.9713148547905821e+08 2.9225146435632217e+08 2.8668403846540976e+08 2.8040118747527248e+08 2.7340251744904840e+08 2.6572394618650296e+08 2.5744406141336229e+08 2.4868602740875703e+08 2.3961136115839866e+08 2.3040715285380629e+08 2.2127406401525494e+08 2.1240752822316083e+08 2.0396435064559415e+08 1.9606130257743087e+08 1.8877507872707304e+08 1.8213794200187916e+08 1.7615015807811633e+08 1.7078590572186133e+08 1.6601065552797553e+08 1.6177616197066286e+08 1.5803986738209307e+08 1.5475238303666410e+08 1.5187788565563983e+08 1.4937474345769224e+08 1.4720675928259939e+08 1.4534597449133801e+08 1.4376008237354055e+08 1.4241756202283287e+08 1.4129600361474371e+08 1.4036562093508622e+08 1.3960644645586830e+08 1.3899430011975789e+08 1.3850929942352396e+08 1.3812341861716029e+08 1.3780884297437742e+08 1.3754609020405611e+08 1.3731593545063412e+08 1.3709836828176481e+08 1.3694428111873060e+08 1.3678865503238192e+08 1.3662984416354293e+08 1.3646349890495765e+08 1.3629189470619512e+08 1.3610999242083499e+08 1.3592445005544904e+08 1.3571793039902166e+08 1.3549691177985105e+08 1.3525732753515396e+08 1.3499600212035161e+08 1.3470907669493464e+08 1.3439220419983143e+08 1.3403903209588981e+08 1.3365085755460016e+08 1.3321219059906077e+08 1.3272037071524417e+08 1.3216826190322658e+08 1.3154818465739611e+08 1.3085221945445138e+08 1.3007242264484197e+08 1.2919990587865219e+08 1.2823641882523537e+08 1.2716430634523657e+08 1.2598759102628262e+08 1.2470899479814377e+08 1.2333854631626011e+08 1.2189330867780252e+08 1.2040575963716584e+08 1.1892413349495050e+08 1.1752810783978724e+08 1.1631646848854795e+08 1.1544540391683058e+08 1.1513195137999544e+08 1.1569186301894197e+08 1.1758429985321467e+08 1.2150508527086262e+08 1.2855565942832793e+08 1.4059294053949383e+08 3.4176516453001164e+07 +8.4865288429476013e+00 3.2456695951613909e+08 3.2453528902345043e+08 3.2448185476616114e+08 3.2441185319486928e+08 3.2434185906473047e+08 3.2429772880034518e+08 3.2429099204389048e+08 3.2430206726076066e+08 3.2431086852822125e+08 3.2431289998453474e+08 3.2430995021020442e+08 3.2430169536412144e+08 3.2428687175163776e+08 3.2426438746949691e+08 3.2423321516046345e+08 3.2419200329527187e+08 3.2413915718049669e+08 3.2407289432348549e+08 3.2399113927829510e+08 3.2389139986013764e+08 3.2377072880319905e+08 3.2362551481624526e+08 3.2345034455516553e+08 3.2323581932427377e+08 3.2297391446870315e+08 3.2266094907041770e+08 3.2229006035028332e+08 3.2185143693172711e+08 3.2133348343974769e+08 3.2072265707190001e+08 3.2000319033291507e+08 3.1915675927175665e+08 3.1816213143513089e+08 3.1699480537821281e+08 3.1562667314322150e+08 3.1402567807279366e+08 3.1215560494118828e+08 3.0997600882288843e+08 3.0744246748760861e+08 3.0450718833127618e+08 3.0084856669411623e+08 2.9660681093880242e+08 2.9172470569968724e+08 2.8615581544547665e+08 2.7987240511498678e+08 2.7287438710442162e+08 2.6519797580611074e+08 2.5692200481313103e+08 2.4816978813167569e+08 2.3910286079021114e+08 2.2990818175156191e+08 2.2078612272255561e+08 2.1193170103709105e+08 2.0350127455543178e+08 1.9561116835179561e+08 1.8833767346547574e+08 1.8171274160334966e+08 1.7573641862443683e+08 1.7038275790835851e+08 1.6561716128973621e+08 1.6139138438376585e+08 1.5766288512595496e+08 1.5438233199927446e+08 1.5151394129387915e+08 1.4901614928022373e+08 1.4685282223879981e+08 1.4499605000420204e+08 1.4341359131276813e+08 1.4207399069248042e+08 1.4095488304234916e+08 1.4002654779524258e+08 1.3926905690508384e+08 1.3865828194189683e+08 1.3817438040755686e+08 1.3778938621678656e+08 1.3747554532477725e+08 1.3721341461660641e+08 1.3698381000036791e+08 1.3676676657509395e+08 1.3661305154112518e+08 1.3645780168683752e+08 1.3629937491588986e+08 1.3613343203977481e+08 1.3596224296326837e+08 1.3578078099636528e+08 1.3559568663331759e+08 1.3538966655705711e+08 1.3516918258626112e+08 1.3493017789408097e+08 1.3466948461696652e+08 1.3438325324747059e+08 1.3406714724089658e+08 1.3371482970117679e+08 1.3332759328074917e+08 1.3288998739908190e+08 1.3239935714996222e+08 1.3184858379341176e+08 1.3123000639834973e+08 1.3053572459659462e+08 1.2975781395199303e+08 1.2888740788154967e+08 1.2792625049329522e+08 1.2685673120965327e+08 1.2568286209139216e+08 1.2440735848495363e+08 1.2304022478966072e+08 1.2159848283133978e+08 1.2011453181054461e+08 1.1863648960887364e+08 1.1724383987660925e+08 1.1603513120228298e+08 1.1516617355166845e+08 1.1485347946704917e+08 1.1541203689710589e+08 1.1729989639360824e+08 1.2121119846633676e+08 1.2824471956294234e+08 1.4025288484643674e+08 3.4066899649763666e+07 +8.4914971657218601e+00 3.2407178881559789e+08 3.2404016598046219e+08 3.2398680642382878e+08 3.2391690473187786e+08 3.2384700222969568e+08 3.2380291589015490e+08 3.2379615781097931e+08 3.2380717697462612e+08 3.2381591719042635e+08 3.2381788748002642e+08 3.2381487156001848e+08 3.2380654385879046e+08 3.2379164006118351e+08 3.2376906691024584e+08 3.2373779510208213e+08 3.2369647112859249e+08 3.2364349781180853e+08 3.2357708948372078e+08 3.2349516696128404e+08 3.2339523377522057e+08 3.2327433772529727e+08 3.2312886193128937e+08 3.2295338679110426e+08 3.2273850319752985e+08 3.2247616743326217e+08 3.2216268717398256e+08 3.2179119592685759e+08 3.2135187332222623e+08 3.2083311132016522e+08 3.2022135320124418e+08 3.1950081702761960e+08 3.1865316449101293e+08 3.1765714971236682e+08 3.1648825995997161e+08 3.1511837977593040e+08 3.1351545108389884e+08 3.1164326623335516e+08 3.0946140058157110e+08 3.0692546927404791e+08 3.0398773929738390e+08 3.0032651655090010e+08 2.9608234022569740e+08 2.9119819249131697e+08 2.8562788289995348e+08 2.7934396094776034e+08 2.7234664429251462e+08 2.6467244249832785e+08 2.5640043333260828e+08 2.4765407871957493e+08 2.3859493001999435e+08 2.2940981358809012e+08 2.2029881050496989e+08 2.1145652171767354e+08 2.0303885819831675e+08 1.9516169970183966e+08 1.8790093478987944e+08 1.8128820521018982e+08 1.7532333815603578e+08 1.6998026256963789e+08 1.6522431228622231e+08 1.6100724457504091e+08 1.5728653335682598e+08 1.5401290452699381e+08 1.5115061411184791e+08 1.4865816648392305e+08 1.4649949138064638e+08 1.4464672712723756e+08 1.4306769786150792e+08 1.4173101348993474e+08 1.4061435360740611e+08 1.3968806321387833e+08 1.3893225372116992e+08 1.3832284827166277e+08 1.3784004434260896e+08 1.3745593544893923e+08 1.3714282815435916e+08 1.3688131848986599e+08 1.3665226308401376e+08 1.3643574250213408e+08 1.3628239895158997e+08 1.3612752467488658e+08 1.3596948133266407e+08 1.3580394013807783e+08 1.3563316546034822e+08 1.3545214304328355e+08 1.3526749590585247e+08 1.3506197453903785e+08 1.3484202428502259e+08 1.3460359813569868e+08 1.3434353589469299e+08 1.3405799737173247e+08 1.3374265651805070e+08 1.3339119205240165e+08 1.3300489212230535e+08 1.3256834546588267e+08 1.3207890277887318e+08 1.3152946255126165e+08 1.3091238239393745e+08 1.3021978106058380e+08 1.2944375329517686e+08 1.2857545424217615e+08 1.2761662246442325e+08 1.2654969185953705e+08 1.2537866398373893e+08 1.2410624761161350e+08 1.2274242292825331e+08 1.2130417056056225e+08 1.1982381129157990e+08 1.1834934678608124e+08 1.1696006709905516e+08 1.1575428399627657e+08 1.1488742959630825e+08 1.1457549264119461e+08 1.1513269822111532e+08 1.1701598835376894e+08 1.2091782360144615e+08 1.2793432134149683e+08 1.3991342152068028e+08 3.3957599685856089e+07 +8.4964654884961188e+00 3.2357654818936801e+08 3.2354496887206978e+08 3.2349168695199710e+08 3.2342188362105310e+08 3.2335207301944721e+08 3.2330803073302364e+08 3.2330125144902462e+08 3.2331221468787897e+08 3.2332089401075619e+08 3.2332280333648920e+08 3.2331972151583016e+08 3.2331132125740749e+08 3.2329633763341403e+08 3.2327367604542112e+08 3.2324230525496179e+08 3.2320086978982753e+08 3.2314777000492758e+08 3.2308121707722288e+08 3.2299912811183482e+08 3.2289900238489574e+08 3.2277788279438961e+08 3.2263214691186190e+08 3.2245636892972195e+08 3.2224112942032295e+08 3.2197836571612972e+08 3.2166437415118170e+08 3.2129228457297641e+08 3.2085226771272403e+08 3.2033270298166984e+08 3.1972001987958634e+08 3.1899842218050945e+08 3.1814955739290696e+08 3.1715216640618253e+08 3.1598172541751343e+08 3.1461011170185310e+08 3.1300526601478338e+08 3.1113098854081851e+08 3.0894687518070859e+08 3.0640857870381594e+08 3.0346842589875281e+08 2.9980463584428233e+08 2.9555807666283518e+08 2.9067192792426407e+08 2.8510024387087619e+08 2.7881585784193063e+08 2.7181929168526936e+08 2.6414734871818775e+08 2.5587934919276822e+08 2.4713890114816633e+08 2.3808757057469934e+08 2.2891204984668440e+08 2.1981212861470854e+08 2.1098199130635446e+08 2.0257710242923656e+08 1.9471289732241967e+08 1.8746486326068527e+08 1.8086433327201238e+08 1.7491091703244528e+08 1.6957841999283522e+08 1.6483210874552840e+08 1.6062374272466746e+08 1.5691081221596247e+08 1.5364410072925252e+08 1.5078790419296598e+08 1.4830079513044709e+08 1.4614676675186577e+08 1.4429800588931882e+08 1.4272240203669071e+08 1.4138863042242214e+08 1.4027441530950090e+08 1.3935016718469590e+08 1.3859603689350590e+08 1.3798799909521446e+08 1.3750629121248272e+08 1.3712306629621926e+08 1.3681069144489947e+08 1.3654980180510277e+08 1.3632129468287075e+08 1.3610529604407844e+08 1.3595232333135763e+08 1.3579782397780016e+08 1.3564016339548990e+08 1.3547502318126291e+08 1.3530466217906448e+08 1.3512407854311192e+08 1.3493987785441372e+08 1.3473485432668501e+08 1.3451543685772693e+08 1.3427758824142510e+08 1.3401815593507072e+08 1.3373330904943213e+08 1.3341873201327212e+08 1.3306811913147505e+08 1.3268275406103723e+08 1.3224726478132038e+08 1.3175900758385625e+08 1.3121089815857637e+08 1.3059531262615182e+08 1.2990438882875392e+08 1.2913024065668671e+08 1.2826404494294785e+08 1.2730753472112145e+08 1.2624318827761665e+08 1.2507499668611041e+08 1.2380566216099489e+08 1.2244514071518992e+08 1.2101037184879538e+08 1.1953359806402209e+08 1.1806270501023167e+08 1.1667678949107321e+08 1.1547392685453071e+08 1.1460917203492531e+08 1.1429799088684443e+08 1.1485384697526892e+08 1.1673257571756031e+08 1.2062496065969881e+08 1.2762446474654074e+08 1.3957455054315346e+08 3.3848615807887539e+07 +8.5014338112703776e+00 3.2308123478637481e+08 3.2304970329670841e+08 3.2299649983380789e+08 3.2292679398850971e+08 3.2285707540154344e+08 3.2281307729763591e+08 3.2280627692655623e+08 3.2281718436859459e+08 3.2282580295759666e+08 3.2282765152201313e+08 3.2282450404565793e+08 3.2281603152758485e+08 3.2280096843533272e+08 3.2277821884172839e+08 3.2274674958525676e+08 3.2270520324379939e+08 3.2265197772320902e+08 3.2258528106614864e+08 3.2250302669096434e+08 3.2240270964715129e+08 3.2228136796607524e+08 3.2213537371018690e+08 3.2195929492013723e+08 3.2174370193698412e+08 3.2148051325636029e+08 3.2116601393374622e+08 3.2079333021358305e+08 3.2035262401834548e+08 3.1983226232804108e+08 3.1921866099834162e+08 3.1849600966708672e+08 3.1764594183395308e+08 3.1664718535126537e+08 3.1547520555921537e+08 3.1410187269834846e+08 3.1249512660546029e+08 3.1061877555974245e+08 3.0843243626516169e+08 3.0589179935956585e+08 3.0294925164521408e+08 2.9928292799130869e+08 2.9503402355669898e+08 2.9014591517558014e+08 2.8457290138412499e+08 2.7828809864990026e+08 2.7129233193940532e+08 2.6362269690534353e+08 2.5535875459942621e+08 2.4662425737868538e+08 2.3758078416745821e+08 2.2841489199650791e+08 2.1932607829166460e+08 2.1050811083293065e+08 2.0211600809201679e+08 1.9426476189782563e+08 1.8702945942861742e+08 1.8044112622942030e+08 1.7449915560487488e+08 1.6917723045671514e+08 1.6444055088786879e+08 1.6024087900557953e+08 1.5653572183782449e+08 1.5327592070900190e+08 1.5042581161379433e+08 1.4794403527512202e+08 1.4579464839017683e+08 1.4394988631379369e+08 1.4237770384947056e+08 1.4104684149163786e+08 1.3993506814252263e+08 1.3901285969569644e+08 1.3826040640572122e+08 1.3765373439305606e+08 1.3717312099568659e+08 1.3679077873581284e+08 1.3647913517271513e+08 1.3621886453873461e+08 1.3599090477302828e+08 1.3577542717665651e+08 1.3562282465648353e+08 1.3546869957169202e+08 1.3531142108030906e+08 1.3514668114522800e+08 1.3497673309523565e+08 1.3479658747182983e+08 1.3461283245515820e+08 1.3440830589598474e+08 1.3418942028053531e+08 1.3395214818738447e+08 1.3369334471439153e+08 1.3340918825680119e+08 1.3309537370271216e+08 1.3274561091476810e+08 1.3236117907344878e+08 1.3192674532189630e+08 1.3143967154163367e+08 1.3089289059225045e+08 1.3027879707208876e+08 1.2958954787790620e+08 1.2881727601352397e+08 1.2795317996107925e+08 1.2699898724068026e+08 1.2593722044131592e+08 1.2477186017632483e+08 1.2350560211110270e+08 1.2214837812886618e+08 1.2071708667456223e+08 1.1924389210653105e+08 1.1777656426053739e+08 1.1639400703198345e+08 1.1519405975666720e+08 1.1433140084719779e+08 1.1402097418376978e+08 1.1457548313913245e+08 1.1644965846433714e+08 1.2033260961954845e+08 1.2731514975541958e+08 1.3923627188907921e+08 3.3739947263465270e+07 +8.5064021340446363e+00 3.2258585509031391e+08 3.2255437247214711e+08 3.2250124727293462e+08 3.2243164000532639e+08 3.2236201334572119e+08 3.2231805953874803e+08 3.2231123819667101e+08 3.2232208996868461e+08 3.2233064798419434e+08 3.2233243598996347e+08 3.2232922310187292e+08 3.2232067862139428e+08 3.2230553641904634e+08 3.2228269925054842e+08 3.2225113204369092e+08 3.2220947544010943e+08 3.2215612491539627e+08 3.2208928539794081e+08 3.2200686664357096e+08 3.2190635950562400e+08 3.2178479718090260e+08 3.2163854626422232e+08 3.2146216869644749e+08 3.2124622467663842e+08 3.2098261397757864e+08 3.2066761043892068e+08 3.2029433675747180e+08 3.1985294613856047e+08 3.1933179324851018e+08 3.1871728043201864e+08 3.1799358334647125e+08 3.1714232165533197e+08 3.1614221036702693e+08 3.1496870417733127e+08 3.1359366652641898e+08 3.1198503658047825e+08 3.1010663097091138e+08 3.0791808746308804e+08 3.0537513480787808e+08 3.0243022003002644e+08 2.9876139639247757e+08 2.9451018419798756e+08 2.8962015740612972e+08 2.8404585844988728e+08 2.7776068620784396e+08 2.7076576769509494e+08 2.6309848948359007e+08 2.5483865174328035e+08 2.4611014935740262e+08 2.3707457249691132e+08 2.2791834149481773e+08 2.1884066076294932e+08 2.1003488131513023e+08 2.0165557601979697e+08 1.9381729410260043e+08 1.8659472383488145e+08 1.8001858451438323e+08 1.7408805421634609e+08 1.6877669423210487e+08 1.6404963892612815e+08 1.5985865358377925e+08 1.5616126234990996e+08 1.5290836456216794e+08 1.5006433644494626e+08 1.4758788696697915e+08 1.4544313632708889e+08 1.4360236841753608e+08 1.4203360330536151e+08 1.4070564669333008e+08 1.3959631209477934e+08 1.3867614072934729e+08 1.3792536223572132e+08 1.3732005414017582e+08 1.3684053366515434e+08 1.3645907273936430e+08 1.3614815930894002e+08 1.3588850666109470e+08 1.3566109332466552e+08 1.3544613587044168e+08 1.3529390289730901e+08 1.3514015142678800e+08 1.3498325435743794e+08 1.3481891400060874e+08 1.3464937817949024e+08 1.3446966980014193e+08 1.3428635967872882e+08 1.3408232921760614e+08 1.3386397452417083e+08 1.3362727794443639e+08 1.3336910220341364e+08 1.3308563496472234e+08 1.3277258155740033e+08 1.3242366737329826e+08 1.3204016713070707e+08 1.3160678705881672e+08 1.3112089462341265e+08 1.3057543982360283e+08 1.2996283570298129e+08 1.2927525817985021e+08 1.2850485933771048e+08 1.2764285926881097e+08 1.2669097999545836e+08 1.2563178832334229e+08 1.2446925442715867e+08 1.2320606743496680e+08 1.2185213514255048e+08 1.2042431501151769e+08 1.1895469339313094e+08 1.1749092451123616e+08 1.1611171969638011e+08 1.1491468267758302e+08 1.1405411600820042e+08 1.1374444250691405e+08 1.1429760668772767e+08 1.1616723656862162e+08 1.2004077045480205e+08 1.2700637634033546e+08 1.3889858552805179e+08 3.3631593301197834e+07 +8.5113704568188950e+00 3.2209041890980047e+08 3.2205898148821771e+08 3.2200593342052573e+08 3.2193642567249113e+08 3.2186689081360263e+08 3.2182298139846992e+08 3.2181613919666529e+08 3.2182693542605525e+08 3.2183543302836144e+08 3.2183716067801058e+08 3.2183388262283784e+08 3.2182526647640520e+08 3.2181004552157134e+08 3.2178712120805705e+08 3.2175545656599444e+08 3.2171369031393421e+08 3.2166021551492393e+08 3.2159323400410432e+08 3.2151065189965874e+08 3.2140995588776064e+08 3.2128817436451012e+08 3.2114166849629426e+08 3.2096499417692780e+08 3.2074870155373037e+08 3.2048467178838658e+08 3.2016916756882256e+08 3.1979530809863365e+08 3.1935323795825422e+08 3.1883129961584157e+08 3.1821588204114813e+08 3.1749114706355017e+08 3.1663870068273193e+08 3.1563724525637025e+08 3.1446222504919040e+08 3.1308549693267316e+08 3.1147499964878231e+08 3.0959455843909085e+08 3.0740383238708705e+08 3.0485858859930611e+08 3.0191133453154057e+08 2.9824004443259495e+08 2.9398656186152357e+08 2.8909465776078641e+08 2.8351911806160545e+08 2.7723362333629912e+08 2.7023960157684433e+08 2.6257472886138371e+08 2.5431904279996195e+08 2.4559657901626566e+08 2.3656893724822375e+08 2.2742239978444508e+08 2.1835587724370399e+08 2.0956230375946885e+08 2.0119580703476703e+08 1.9337049460056227e+08 1.8616065701144546e+08 1.7959670855001056e+08 1.7367761320106226e+08 1.6837681158221796e+08 1.6365937306575260e+08 1.5947706661778235e+08 1.5578743387300318e+08 1.5254143237853187e+08 1.4970347875038403e+08 1.4723235024909166e+08 1.4509223058824858e+08 1.4325545221192983e+08 1.4169010040361705e+08 1.4036504601750043e+08 1.3925814714870611e+08 1.3834001026241273e+08 1.3759090435616264e+08 1.3698695830598265e+08 1.3650852918827507e+08 1.3612794827296585e+08 1.3581776381898895e+08 1.3555872813719776e+08 1.3533186030291653e+08 1.3511742209044698e+08 1.3496555801882944e+08 1.3481217950829959e+08 1.3465566319213769e+08 1.3449172171250293e+08 1.3432259739691395e+08 1.3414332549315394e+08 1.3396045949023046e+08 1.3375692425678167e+08 1.3353909955394870e+08 1.3330297747793317e+08 1.3304542836760353e+08 1.3276264913876477e+08 1.3245035554293230e+08 1.3210228847273473e+08 1.3171971819849148e+08 1.3128738995804270e+08 1.3080267679529378e+08 1.3025854581898262e+08 1.2964742848532000e+08 1.2896151970112118e+08 1.2819299059592654e+08 1.2733308283288233e+08 1.2638351295261708e+08 1.2532689189105289e+08 1.2416717940643768e+08 1.2290705810081193e+08 1.2155641172468141e+08 1.2013205682848227e+08 1.1866600189297131e+08 1.1720578573187962e+08 1.1582992745423336e+08 1.1463579558747737e+08 1.1377731748837313e+08 1.1346839582703410e+08 1.1402021759140649e+08 1.1588531000050737e+08 1.1974944313434722e+08 1.2669814446847703e+08 1.3856149142403623e+08 3.3523553170698054e+07 +8.5163387795931538e+00 3.2159492410287374e+08 3.2156353302740091e+08 3.2151056303263539e+08 3.2144115478759807e+08 3.2137171174742246e+08 3.2132784680440199e+08 3.2132098385005289e+08 3.2133172466346598e+08 3.2134016201352876e+08 3.2134182950935537e+08 3.2133848653084266e+08 3.2132979901496452e+08 3.2131449966510338e+08 3.2129148863561678e+08 3.2125972707269627e+08 3.2121785178425038e+08 3.2116425344005930e+08 3.2109713080235142e+08 3.2101438637505960e+08 3.2091350270701486e+08 3.2079150342701358e+08 3.2064474431335050e+08 3.2046777526520956e+08 3.2025113646689832e+08 3.1998669058245152e+08 3.1967068921015388e+08 3.1929624811571306e+08 3.1885350334644699e+08 3.1833078528833145e+08 3.1771446967052811e+08 3.1698870464721537e+08 3.1613508272641164e+08 3.1513229380752331e+08 3.1395577193668401e+08 3.1257736764703161e+08 3.1096501950357050e+08 3.0908256161327577e+08 3.0688967463400483e+08 3.0434216426919311e+08 3.0139259861148894e+08 2.9771887548059541e+08 2.9346315980529612e+08 2.8856941936843508e+08 2.8299268319684076e+08 2.7670691283966768e+08 2.6971383619397593e+08 2.6205141743169430e+08 2.5379992992978463e+08 2.4508354827260369e+08 2.3606388009237376e+08 2.2692706829551652e+08 2.1787172893607712e+08 2.0909037916069794e+08 2.0073670194808313e+08 1.9292436404605657e+08 1.8572725948079169e+08 1.7917549875039485e+08 1.7326783288573930e+08 1.6797758276238087e+08 1.6326975350469464e+08 1.5909611825942650e+08 1.5541423652096334e+08 1.5217512424110198e+08 1.4934323858768991e+08 1.4687742515824151e+08 1.4474193119304970e+08 1.4290913770216125e+08 1.4134719513809213e+08 1.4002503944846183e+08 1.3892057328131863e+08 1.3800446826603046e+08 1.3725703273397213e+08 1.3665444685438448e+08 1.3617710752689838e+08 1.3579740529727814e+08 1.3548794866265094e+08 1.3522952892706516e+08 1.3500320566728342e+08 1.3478928579618803e+08 1.3463778998068359e+08 1.3448478377560839e+08 1.3432864754392013e+08 1.3416510424057354e+08 1.3399639070740701e+08 1.3381755451072088e+08 1.3363513184968993e+08 1.3343209097353734e+08 1.3321479532983117e+08 1.3297924674793333e+08 1.3272232316722094e+08 1.3244023073919082e+08 1.3212869561968373e+08 1.3178147417365545e+08 1.3139983223746818e+08 1.3096855398021796e+08 1.3048501801800171e+08 1.2994220853909820e+08 1.2933257538030328e+08 1.2864833240306419e+08 1.2788166974968992e+08 1.2702385061545771e+08 1.2607658607429816e+08 1.2502253110696922e+08 1.2386563507692291e+08 1.2260857407170998e+08 1.2126120783887565e+08 1.1984031208951071e+08 1.1837781757069747e+08 1.1692114788740522e+08 1.1554863027081104e+08 1.1435739845188528e+08 1.1350100525373237e+08 1.1319283410996380e+08 1.1374331581614104e+08 1.1560387872508688e+08 1.1945862762239331e+08 1.2639045410186498e+08 1.3822498953549090e+08 3.3415826122586075e+07 +8.5213071023674125e+00 3.2109937667263746e+08 3.2106803266857082e+08 3.2101514062604266e+08 3.2094583109134144e+08 3.2087648005918002e+08 3.2083265966906130e+08 3.2082577606422168e+08 3.2083646158768547e+08 3.2084483884780192e+08 3.2084644639200407e+08 3.2084303873390770e+08 3.2083428014434326e+08 3.2081890275617296e+08 3.2079580543980545e+08 3.2076394746916634e+08 3.2072196375595719e+08 3.2066824259442192e+08 3.2060097969353920e+08 3.2051807396946210e+08 3.2041700386101478e+08 3.2029478826410288e+08 3.2014777760768288e+08 3.1997051584945232e+08 3.1975353330021685e+08 3.1948867423765230e+08 3.1917217923411578e+08 3.1879716067263228e+08 3.1835374615729636e+08 3.1783025410892463e+08 3.1721304714970559e+08 3.1648625991106761e+08 3.1563147158111423e+08 3.1462735979284209e+08 3.1344934858581340e+08 3.1206928238413417e+08 3.1045509982225126e+08 3.0857064412672973e+08 3.0637561778480536e+08 3.0382586533663064e+08 3.0087401571556091e+08 2.9719789288934863e+08 2.9293998127189791e+08 2.8804444534149337e+08 2.8246655681756854e+08 2.7618055750616312e+08 2.6918847413909882e+08 2.6152855757230592e+08 2.5328131527854368e+08 2.4457105902967328e+08 2.3555940268685085e+08 2.2643234844543985e+08 2.1738821703042451e+08 2.0861910850202695e+08 2.0027826156049290e+08 1.9247890308311072e+08 1.8529453175582165e+08 1.7875495552093861e+08 1.7285871358828741e+08 1.6757900802002257e+08 1.6288078043367708e+08 1.5871580865301168e+08 1.5504167040069690e+08 1.5180944022640687e+08 1.4898361600835273e+08 1.4652311172487018e+08 1.4439223815512624e+08 1.4256342488764599e+08 1.4100488749654055e+08 1.3968562696497306e+08 1.3858359046384907e+08 1.3766951470591095e+08 1.3692374733052799e+08 1.3632251974385360e+08 1.3584626863753614e+08 1.3546744376757023e+08 1.3515871379471132e+08 1.3490090898473370e+08 1.3467512937196171e+08 1.3446172694173309e+08 1.3431059873699632e+08 1.3415796418316743e+08 1.3400220736715849e+08 1.3383906153926329e+08 1.3367075806518118e+08 1.3349235680750056e+08 1.3331037671150063e+08 1.3310782932246053e+08 1.3289106180651444e+08 1.3265608570929447e+08 1.3239978655696434e+08 1.3211837972090526e+08 1.3180760174281476e+08 1.3146122443115120e+08 1.3108050920278607e+08 1.3065027908081934e+08 1.3016791824736324e+08 1.2962642794007806e+08 1.2901827634395164e+08 1.2833569624201612e+08 1.2757089675565179e+08 1.2671516257302412e+08 1.2577019931770700e+08 1.2471870592848331e+08 1.2356462139649899e+08 1.2231061530594133e+08 1.2096652344393466e+08 1.1954908075373398e+08 1.1809014038586040e+08 1.1663701093819524e+08 1.1526782810673542e+08 1.1407949123208584e+08 1.1322517926551504e+08 1.1291775731736277e+08 1.1346690132327391e+08 1.1532294270315352e+08 1.1916832387834045e+08 1.2608330519753973e+08 1.3788907981542689e+08 3.3308411408492416e+07 +8.5262754251416712e+00 3.2060378189305127e+08 3.2057248470573831e+08 3.2051966904013395e+08 3.2045045838561600e+08 3.2038119963444698e+08 3.2033742388841343e+08 3.2033051973178071e+08 3.2034115009226424e+08 3.2034946742414510e+08 3.2035101521887666e+08 3.2034754312434947e+08 3.2033871375674295e+08 3.2032325868684548e+08 3.2030007551180124e+08 3.2026812164593554e+08 3.2022603011865759e+08 3.2017218686608690e+08 3.2010478456509745e+08 3.2002171856775552e+08 3.1992046323270804e+08 3.1979803275561261e+08 3.1965077225672376e+08 3.1947321980370146e+08 3.1925589592236066e+08 3.1899062661737674e+08 3.1867364149750108e+08 3.1829804961773288e+08 3.1785397022991002e+08 3.1732970990505445e+08 3.1671161829250091e+08 3.1598381665313882e+08 3.1512787102655387e+08 3.1412244697000426e+08 3.1294295872714365e+08 3.1156124484382385e+08 3.0994524426688772e+08 3.0805880959730494e+08 3.0586166540479410e+08 3.0330969530461496e+08 3.0035558927387571e+08 2.9667709999542350e+08 2.9241702948770398e+08 2.8751973877663636e+08 2.8194074186966747e+08 2.7565456010852963e+08 2.6866351799004203e+08 2.6100615164512342e+08 2.5276320097663069e+08 2.4405911317538840e+08 2.3505550667497379e+08 2.2593824163771340e+08 2.1690534270450541e+08 2.0814849275501153e+08 1.9982048666201112e+08 1.9203411234573036e+08 1.8486247434041542e+08 1.7833507925843960e+08 1.7245025561848408e+08 1.6718108759502819e+08 1.6249245403594625e+08 1.5833613793627495e+08 1.5466973561288002e+08 1.5144438040451130e+08 1.4862461105741355e+08 1.4616940997364306e+08 1.4404315148183733e+08 1.4221831376201266e+08 1.4066317746146894e+08 1.3934680853999195e+08 1.3824719866206241e+08 1.3733514954221535e+08 1.3659104810180169e+08 1.3599117692741489e+08 1.3551601247117412e+08 1.3513806363358796e+08 1.3483005916418415e+08 1.3457286825930142e+08 1.3434763136579025e+08 1.3413474547596011e+08 1.3398398423660719e+08 1.3383172067983724e+08 1.3367634261073551e+08 1.3351359355740689e+08 1.3334569941952758e+08 1.3316773233232094e+08 1.3298619402499136e+08 1.3278413925285526e+08 1.3256789893339521e+08 1.3233349431140941e+08 1.3207781848660597e+08 1.3179709603352834e+08 1.3148707386185835e+08 1.3114153919519141e+08 1.3076174904462130e+08 1.3033256521004686e+08 1.2985137743362717e+08 1.2931120397242284e+08 1.2870453132706946e+08 1.2802361116886620e+08 1.2726067156512895e+08 1.2640701865755235e+08 1.2546435263474360e+08 1.2441541630822967e+08 1.2326413831798843e+08 1.2201318175705528e+08 1.2067235849375153e+08 1.1925836277572396e+08 1.1780297029350413e+08 1.1635337483958347e+08 1.1498752091818041e+08 1.1380207388453501e+08 1.1294983948073576e+08 1.1264316540616740e+08 1.1319097406938937e+08 1.1504250189082241e+08 1.1887853185666631e+08 1.2577669770742224e+08 1.3755376221133134e+08 3.3201308281060919e+07 +8.5312437479159300e+00 3.2010813966575676e+08 3.2007689084297776e+08 3.2002415274111968e+08 3.1995504060563308e+08 3.1988587434147131e+08 3.1984214334077090e+08 3.1983521873068351e+08 3.1984579405433440e+08 3.1985405162089759e+08 3.1985553986779481e+08 3.1985200358007771e+08 3.1984310372917831e+08 3.1982757133397746e+08 3.1980430272766161e+08 3.1977225347875905e+08 3.1973005474655849e+08 3.1967609012809867e+08 3.1960854928898180e+08 3.1952532404019725e+08 3.1942388468990260e+08 3.1930124076685888e+08 3.1915373212201303e+08 3.1897589098557621e+08 3.1875822818699515e+08 3.1849255156959504e+08 3.1817507984139037e+08 3.1779891878398216e+08 3.1735417938786310e+08 3.1682915648931372e+08 3.1621018689822483e+08 3.1548137865695906e+08 3.1462428482694000e+08 3.1361755908047372e+08 3.1243660607613975e+08 3.1105325870939791e+08 3.0943545648370790e+08 3.0754706162711078e+08 3.0534782104377919e+08 3.0279365766069216e+08 2.9983732270075428e+08 2.9615650011966771e+08 2.9189430766332781e+08 2.8699530275446069e+08 2.8141524128257817e+08 2.7512892340392107e+08 2.6813897030878890e+08 2.6048420199729934e+08 2.5224558913975698e+08 2.4354771258444014e+08 2.3455219368659392e+08 2.2544474926324528e+08 2.1642310712382057e+08 2.0767853288014060e+08 1.9936337803160188e+08 1.9158999245820636e+08 1.8443108772902390e+08 1.7791587035102305e+08 1.7204245927814582e+08 1.6678382171934527e+08 1.6210477448720983e+08 1.5795710623982242e+08 1.5429843225115895e+08 1.5107994483882570e+08 1.4826622377355781e+08 1.4581631992293838e+08 1.4369467117503187e+08 1.4187380431290555e+08 1.4032206500890794e+08 1.3900858414082739e+08 1.3791139783603472e+08 1.3700137272952938e+08 1.3625893499837333e+08 1.3566041835270163e+08 1.3518633897365886e+08 1.3480926483992818e+08 1.3450198471503973e+08 1.3424540669406006e+08 1.3402071159223306e+08 1.3380834134233065e+08 1.3365794642316651e+08 1.3350605320923953e+08 1.3335105321846467e+08 1.3318870023906475e+08 1.3302121471413879e+08 1.3284368102945404e+08 1.3266258373407681e+08 1.3246102070866522e+08 1.3224530665462507e+08 1.3201147249849744e+08 1.3175641890028575e+08 1.3147637962174512e+08 1.3116711192168982e+08 1.3082241841046982e+08 1.3044355170785718e+08 1.3001541231299141e+08 1.2953539552202818e+08 1.2899653658151188e+08 1.2839134027544573e+08 1.2771207712984434e+08 1.2695099412458055e+08 1.2609941881573518e+08 1.2515904597270648e+08 1.2411266219358370e+08 1.2296418578956842e+08 1.2171627337348375e+08 1.2037871293740416e+08 1.1896815810515915e+08 1.1751630724408233e+08 1.1607023954263388e+08 1.1470770865668167e+08 1.1352514636123872e+08 1.1267498585161397e+08 1.1236905832884501e+08 1.1291553400694796e+08 1.1476255623947692e+08 1.1858925150731248e+08 1.2547063157856776e+08 1.3721903666518000e+08 3.3094515993951626e+07 +8.5362120706901887e+00 3.1961245876213336e+08 3.1958125462857175e+08 3.1952859582173419e+08 3.1945958176549208e+08 3.1939050803871959e+08 3.1934682188638502e+08 3.1933987692345172e+08 3.1935039733704686e+08 3.1935859530156666e+08 3.1936002420183396e+08 3.1935642396342009e+08 3.1934745392416769e+08 3.1933184455944377e+08 3.1930849094867456e+08 3.1927634682745665e+08 3.1923404149927288e+08 3.1917995623933548e+08 3.1911227772129655e+08 3.1902889424119717e+08 3.1892727208520669e+08 3.1880441614793497e+08 3.1865666105082554e+08 3.1847853323839098e+08 3.1826053393253613e+08 3.1799445292719269e+08 3.1767649809193581e+08 3.1729977198967171e+08 3.1685437743947673e+08 3.1632859765871638e+08 3.1570875675084239e+08 3.1497894969017661e+08 3.1412071673121679e+08 3.1311269985105854e+08 3.1193029433247727e+08 3.1054532764930207e+08 3.0892574010373867e+08 3.0703540380280262e+08 3.0483408823552346e+08 3.0227775587675256e+08 2.9931921939397871e+08 2.9563609656718254e+08 2.9137181899304074e+08 2.8647114033951163e+08 2.8089005797054076e+08 2.7460365013291103e+08 2.6761483364157414e+08 2.5996271096022421e+08 2.5172848186872920e+08 2.4303685911628386e+08 2.3404946533776030e+08 2.2495187270033830e+08 2.1594151144199410e+08 2.0720922982619357e+08 1.9890693643801209e+08 1.9114654403469726e+08 1.8400037240718889e+08 1.7749732917818707e+08 1.7163532486100382e+08 1.6638721061768526e+08 1.6171774195644951e+08 1.5757871368717280e+08 1.5392776040232450e+08 1.5071613358673161e+08 1.4790845418954498e+08 1.4546384158498669e+08 1.4334679723017955e+08 1.4152989652254954e+08 1.3998155010998926e+08 1.3867095372936916e+08 1.3757618794054189e+08 1.3666818421704987e+08 1.3592740796529260e+08 1.3533024396194559e+08 1.3485724808515918e+08 1.3448104732559437e+08 1.3417449038595358e+08 1.3391852422748375e+08 1.3369436998935784e+08 1.3348251447906853e+08 1.3333248523482770e+08 1.3318096170952986e+08 1.3302633912856077e+08 1.3286438152236110e+08 1.3269730388766247e+08 1.3252020283726411e+08 1.3233954577737691e+08 1.3213847362872465e+08 1.3192328490907978e+08 1.3169002020959610e+08 1.3143558773721258e+08 1.3115623042449558e+08 1.3084771586148596e+08 1.3050386201672114e+08 1.3012591713222654e+08 1.2969882032957436e+08 1.2921997245288433e+08 1.2868242570780532e+08 1.2807870312967959e+08 1.2740109406591871e+08 1.2664186437523940e+08 1.2579236298927559e+08 1.2485427927362584e+08 1.2381044352727735e+08 1.2266476375435179e+08 1.2141989009900264e+08 1.2008558671936443e+08 1.1867846668706392e+08 1.1723015118323642e+08 1.1578760499387395e+08 1.1442839126916659e+08 1.1324870860984294e+08 1.1240061832629502e+08 1.1209543603355753e+08 1.1264058108370857e+08 1.1448310569623755e+08 1.1830048277554972e+08 1.2516510675299010e+08 1.3688490311357161e+08 3.2988033801843733e+07 +8.5411803934644475e+00 3.1911674077394462e+08 3.1908558146659404e+08 3.1903300118268949e+08 3.1896408581489205e+08 3.1889510457650185e+08 3.1885146336764538e+08 3.1884449815786827e+08 3.1885496378771520e+08 3.1886310231410265e+08 3.1886447206886977e+08 3.1886080812227994e+08 3.1885176818883806e+08 3.1883608221027279e+08 3.1881264402117950e+08 3.1878040553828603e+08 3.1873799422144109e+08 3.1868378904250842e+08 3.1861597370422137e+08 3.1853243301110017e+08 3.1843062925653392e+08 3.1830756273393810e+08 3.1815956287493175e+08 3.1798115039022189e+08 3.1776281698270929e+08 3.1749633450821394e+08 3.1717790006029904e+08 3.1680061303778273e+08 3.1635456817855769e+08 3.1582803719540030e+08 3.1520733161864525e+08 3.1447653350534326e+08 3.1361717047280401e+08 3.1260787299266124e+08 3.1142402718081135e+08 3.1003745531602085e+08 3.0841609874240506e+08 3.0652383969498271e+08 3.0432047049807733e+08 3.0176199340836507e+08 2.9880128273645800e+08 2.9511589262714911e+08 2.9084956665553576e+08 2.8594725458119613e+08 2.8036519483104914e+08 2.7407874302109069e+08 2.6709111051879925e+08 2.5944168085038242e+08 2.5121188124956709e+08 2.4252655461624330e+08 2.3354732323073095e+08 2.2445961331343406e+08 2.1546055679997197e+08 2.0674058453053162e+08 1.9845116263910970e+08 1.9070376767954576e+08 1.8357032885062903e+08 1.7707945611061132e+08 1.7122885265240008e+08 1.6599125450664419e+08 1.6133135660485196e+08 1.5720096039509889e+08 1.5355772014704317e+08 1.5035294669878799e+08 1.4755130233159584e+08 1.4511197496620503e+08 1.4299952963726312e+08 1.4118659036699289e+08 1.3964163272966874e+08 1.3833391726171958e+08 1.3724156892462525e+08 1.3633558394839779e+08 1.3559646694220003e+08 1.3500065369185764e+08 1.3452873974052927e+08 1.3415341102444074e+08 1.3384757610982430e+08 1.3359222079239608e+08 1.3336860649013060e+08 1.3315726481906791e+08 1.3300760060458188e+08 1.3285644611400984e+08 1.3270220027423386e+08 1.3254063734067409e+08 1.3237396687324247e+08 1.3219729768918163e+08 1.3201708008845973e+08 1.3181649794672573e+08 1.3160183363044064e+08 1.3136913737847395e+08 1.3111532493132758e+08 1.3083664837603086e+08 1.3052888561550505e+08 1.3018586994814298e+08 1.2980884525217229e+08 1.2938278919450912e+08 1.2890510816104066e+08 1.2836887128663006e+08 1.2776661982545234e+08 1.2709066191302426e+08 1.2633328225350240e+08 1.2548585111493009e+08 1.2455005247481881e+08 1.2350876024703018e+08 1.2236587215062089e+08 1.2112403187260947e+08 1.1979297977921154e+08 1.1838928846183926e+08 1.1694450205190812e+08 1.1550547113489623e+08 1.1414956869809695e+08 1.1297276057321896e+08 1.1212673684806435e+08 1.1182229846388686e+08 1.1236611524308299e+08 1.1420415020342609e+08 1.1801222560180512e+08 1.2486012316778794e+08 1.3655136148770902e+08 3.2881860960438494e+07 +8.5461487162387062e+00 3.1862098836670452e+08 3.1858987618505913e+08 3.1853737264782143e+08 3.1846855653249317e+08 3.1839966779104555e+08 3.1835607161090350e+08 3.1834908626659381e+08 3.1835949724004704e+08 3.1836757649225682e+08 3.1836888730173212e+08 3.1836515988920271e+08 3.1835605035563105e+08 3.1834028811786026e+08 3.1831676577648801e+08 3.1828443344111466e+08 3.1824191674239427e+08 3.1818759236621428e+08 3.1811964106432164e+08 3.1803594417479694e+08 3.1793396002649450e+08 3.1781068434489083e+08 3.1766244141124129e+08 3.1748374625452185e+08 3.1726508114588279e+08 3.1699820011518270e+08 3.1667928954255062e+08 3.1630144571621943e+08 3.1585475538330781e+08 3.1532747886598301e+08 3.1470591525491416e+08 3.1397413383972800e+08 3.1311364977003312e+08 3.1210308220086867e+08 3.1091780829009455e+08 3.0952964534749234e+08 3.0790653599922764e+08 3.0601237285895747e+08 3.0380697133434016e+08 3.0124637369621783e+08 2.9828351609493357e+08 2.9459589157258773e+08 2.9032755381317985e+08 2.8542364851194572e+08 2.7984065474686730e+08 2.7355420477770895e+08 2.6656780345620960e+08 2.5892111396889716e+08 2.5069578935336205e+08 2.4201680091592303e+08 2.3304576895437366e+08 2.2396797245528078e+08 2.1498024432697758e+08 2.0627259791932982e+08 1.9799605738239306e+08 1.9026166398742169e+08 1.8314095752646479e+08 1.7666225151069564e+08 1.7082304293006566e+08 1.6559595359544602e+08 1.6094561858690500e+08 1.5682384647338259e+08 1.5318831155892152e+08 1.4999038421929541e+08 1.4719476822008431e+08 1.4476072006702140e+08 1.4265286838008416e+08 1.4084388581687015e+08 1.3930231282768887e+08 1.3799747468858674e+08 1.3690754073192978e+08 1.3600357186198586e+08 1.3526611186339745e+08 1.3467164747398123e+08 1.3420081386963984e+08 1.3382635586511540e+08 1.3352124181471777e+08 1.3326649631656730e+08 1.3304342102211110e+08 1.3283259229003902e+08 1.3268329246020021e+08 1.3253250635027768e+08 1.3237863658339448e+08 1.3221746762194379e+08 1.3205120359906344e+08 1.3187496551351283e+08 1.3169518659541728e+08 1.3149509359084018e+08 1.3128095274711525e+08 1.3104882393375678e+08 1.3079563041128172e+08 1.3051763340529914e+08 1.3021062111299402e+08 1.2986844213407211e+08 1.2949233599718286e+08 1.2906731883751580e+08 1.2859080257646887e+08 1.2805587324831225e+08 1.2745509029329671e+08 1.2678078060207368e+08 1.2602524769068763e+08 1.2517988312456436e+08 1.2424636550852661e+08 1.2320761228571105e+08 1.2206751091193193e+08 1.2082869862849718e+08 1.1950089205179532e+08 1.1810062336510880e+08 1.1665935978682370e+08 1.1522383790297973e+08 1.1387124088150690e+08 1.1269730219014713e+08 1.1185334135612094e+08 1.1154964555907300e+08 1.1209213642400892e+08 1.1392568969906080e+08 1.1772447992198347e+08 1.2455568075510110e+08 1.3621841171319196e+08 3.2775996726461984e+07 +8.5511170390129649e+00 3.1812520681287766e+08 3.1809413886665571e+08 3.1804171475081521e+08 3.1797299761529160e+08 3.1790420149883354e+08 3.1786065042664319e+08 3.1785364506728041e+08 3.1786400151185715e+08 3.1787202165407461e+08 3.1787327371898603e+08 3.1786948308201104e+08 3.1786030424179715e+08 3.1784446609977788e+08 3.1782086003056103e+08 3.1778843435169172e+08 3.1774581287663025e+08 3.1769137002332622e+08 3.1762328361362571e+08 3.1753943154229218e+08 3.1743726820267385e+08 3.1731378478593087e+08 3.1716530046169806e+08 3.1698632462915331e+08 3.1676733021551013e+08 3.1650005353605109e+08 3.1618067031954795e+08 3.1580227379764020e+08 3.1535494281657439e+08 3.1482692642293054e+08 3.1420451139807785e+08 3.1347175441568923e+08 3.1261015832606322e+08 3.1159833115659243e+08 3.1041164131409901e+08 3.0902190136534750e+08 3.0739705545866621e+08 3.0550100683462495e+08 3.0329359423090565e+08 3.0073090016447067e+08 2.9776592282017624e+08 2.9407609666099340e+08 2.8980578361326349e+08 2.8490032514881361e+08 2.7931644058414751e+08 2.7303003809702832e+08 2.6604491495332569e+08 2.5840101260154885e+08 2.5018020823653603e+08 2.4150759983216062e+08 2.3254480408376047e+08 2.2347695146464485e+08 2.1450057514010692e+08 2.0580527090772459e+08 1.9754162140479890e+08 1.8982023354308546e+08 1.8271225889251238e+08 1.7624571573228118e+08 1.7041789596323985e+08 1.6520130808574644e+08 1.6056052804949456e+08 1.5644737202504596e+08 1.5281953470537612e+08 1.4962844618653020e+08 1.4683885186902854e+08 1.4441007688162425e+08 1.4230681343700725e+08 1.4050178283676329e+08 1.3896359035766307e+08 1.3766162595525208e+08 1.3657410330077034e+08 1.3567214789069855e+08 1.3493634265796879e+08 1.3434322523462501e+08 1.3387347039661823e+08 1.3349988177066237e+08 1.3319548742347899e+08 1.3294135072246520e+08 1.3271881350786880e+08 1.3250849681438792e+08 1.3235956072411694e+08 1.3220914234104885e+08 1.3205564797869784e+08 1.3189487228894600e+08 1.3172901398793715e+08 1.3155320623314245e+08 1.3137386522144952e+08 1.3117426048429371e+08 1.3096064218255709e+08 1.3072907979889643e+08 1.3047650410079639e+08 1.3019918543587427e+08 1.2989292227770984e+08 1.2955157849871446e+08 1.2917638929179877e+08 1.2875240918323305e+08 1.2827705562421200e+08 1.2774343151786804e+08 1.2714411445883016e+08 1.2647145005904816e+08 1.2571776061321293e+08 1.2487445894511501e+08 1.2394321830213241e+08 1.2290699957145680e+08 1.2176967996707189e+08 1.2053389029598249e+08 1.1920932346735667e+08 1.1781247132786047e+08 1.1637472431960919e+08 1.1494270523093927e+08 1.1359340775283483e+08 1.1242233339471807e+08 1.1158043178505820e+08 1.1127747725408712e+08 1.1181864456101918e+08 1.1364772411653875e+08 1.1743724566735917e+08 1.2425177944225895e+08 1.3588605371066311e+08 3.2670440357667912e+07 +8.5560853617872237e+00 3.1762939804238790e+08 3.1759837905011755e+08 3.1754603088110340e+08 3.1747741284906083e+08 3.1740870949368393e+08 3.1736520361350495e+08 3.1735817836313635e+08 3.1736848040661383e+08 3.1737644160338527e+08 3.1737763512351435e+08 3.1737378150337625e+08 3.1736453364983034e+08 3.1734861995799178e+08 3.1732493058533883e+08 3.1729241207049567e+08 3.1724968642392445e+08 3.1719512581264353e+08 3.1712690514880055e+08 3.1704289890848386e+08 3.1694055757809770e+08 3.1681686784729260e+08 3.1666814381339228e+08 3.1648888929690790e+08 3.1626956797004509e+08 3.1600189854353619e+08 3.1568204615705150e+08 3.1530310104019141e+08 3.1485513422665477e+08 3.1432638360236323e+08 3.1370312377099812e+08 3.1296939894003409e+08 3.1210669982865798e+08 3.1109362352467853e+08 3.0990552989124215e+08 3.0851422697626889e+08 3.0688766068976319e+08 3.0498974514609683e+08 3.0278034265954369e+08 3.0021557622255218e+08 2.9724850624763840e+08 2.9355651113444597e+08 2.8928425918674934e+08 2.8437728749336761e+08 2.7879255519369662e+08 2.7250624565694940e+08 2.6552244749440730e+08 2.5788137901962095e+08 2.4966513994097015e+08 2.4099895316785061e+08 2.3204443018076596e+08 2.2298655166834718e+08 2.1402155034445429e+08 2.0533860439905906e+08 1.9708785543285432e+08 1.8937947692141169e+08 1.8228423339757085e+08 1.7582984912043598e+08 1.7001341201373020e+08 1.6480731817171934e+08 1.6017608513251141e+08 1.5607153714623654e+08 1.5245138964682516e+08 1.4926713263220146e+08 1.4648355328647685e+08 1.4406004539872339e+08 1.4196136478026479e+08 1.4016028138591060e+08 1.3862546526827392e+08 1.3732637100111884e+08 1.3624125656390801e+08 1.3534131196209210e+08 1.3460715924954820e+08 1.3401538689467256e+08 1.3354670924084857e+08 1.3317398865916730e+08 1.3287031285330956e+08 1.3261678392726359e+08 1.3239478386435899e+08 1.3218497830940293e+08 1.3203640531374207e+08 1.3188635400362894e+08 1.3173323437768373e+08 1.3157285125939214e+08 1.3140739795764346e+08 1.3123201976591532e+08 1.3105311588450928e+08 1.3085399854527092e+08 1.3064090185483377e+08 1.3040990489220276e+08 1.3015794591832654e+08 1.2988130438665546e+08 1.2957578902858619e+08 1.2923527896116877e+08 1.2886100505515265e+08 1.2843806015133610e+08 1.2796386722396049e+08 1.2743154601559854e+08 1.2683369224262314e+08 1.2616267020494032e+08 1.2541082094258903e+08 1.2456957849845840e+08 1.2364061077831060e+08 1.2260692202744567e+08 1.2147237923981933e+08 1.2023960679994586e+08 1.1891827395152488e+08 1.1752483227655725e+08 1.1609059557762839e+08 1.1466207304697834e+08 1.1331606924109919e+08 1.1214785411671847e+08 1.1130800806515676e+08 1.1100579347926292e+08 1.1154563958421898e+08 1.1337025338500923e+08 1.1715052276467666e+08 1.2394841915155998e+08 1.3555428739518216e+08 3.2565191112840522e+07 +8.5610536845614824e+00 3.1713356589441448e+08 3.1710259510286319e+08 3.1705032429639602e+08 3.1698180609932005e+08 3.1691319555042112e+08 3.1686973495781910e+08 3.1686268994164807e+08 3.1687293771285832e+08 3.1688084012877262e+08 3.1688197530309039e+08 3.1687805894152874e+08 3.1686874236728090e+08 3.1685275347919661e+08 3.1682898122707462e+08 3.1679637038357353e+08 3.1675354116897959e+08 3.1669886351729250e+08 3.1663050945176083e+08 3.1654635005322558e+08 3.1644383193070662e+08 3.1631993730367362e+08 3.1617097523807752e+08 3.1599144402654803e+08 3.1577179817295241e+08 3.1550373889535326e+08 3.1518342080603296e+08 3.1480393118620700e+08 3.1435533334669000e+08 3.1382585412568814e+08 3.1320175608174860e+08 3.1246707110420948e+08 3.1160327795080644e+08 3.1058896295549023e+08 3.0939947764441675e+08 3.0800662577144182e+08 3.0637835524580467e+08 3.0447859130210733e+08 3.0226722007579643e+08 2.9970040526303124e+08 2.9673126969651473e+08 2.9303713821829021e+08 2.8876298364861959e+08 2.8385453853087491e+08 2.7826900141003454e+08 2.7198283012029529e+08 2.6500040354861310e+08 2.5736221547885114e+08 2.4915058649364439e+08 2.4049086271162936e+08 2.3154464879366273e+08 2.2249677437999961e+08 2.1354317103297925e+08 2.0487259928613514e+08 1.9663476018253574e+08 1.8893939468810570e+08 1.8185688148129228e+08 1.7541465201224411e+08 1.6960959133496976e+08 1.6441398403997913e+08 1.5979228996895894e+08 1.5569634192640281e+08 1.5208387643766636e+08 1.4890644358155191e+08 1.4612887247429594e+08 1.4371062560069254e+08 1.4161652237645572e+08 1.3981938141792127e+08 1.3828793750208101e+08 1.3699170976082140e+08 1.3590900044887349e+08 1.3501106399844205e+08 1.3427856155641532e+08 1.3368813236965804e+08 1.3322053031597495e+08 1.3284867644354407e+08 1.3254571801662628e+08 1.3229279584306081e+08 1.3207133200386821e+08 1.3186203668714309e+08 1.3171382614121938e+08 1.3156414125045735e+08 1.3141139569273756e+08 1.3125140444560637e+08 1.3108635542074713e+08 1.3091140602454075e+08 1.3073293849743757e+08 1.3053430768663234e+08 1.3032173167713395e+08 1.3009129912702654e+08 1.2983995577733222e+08 1.2956399017113620e+08 1.2925922127951214e+08 1.2891954343543130e+08 1.2854618320157564e+08 1.2812427165620150e+08 1.2765123729073332e+08 1.2712021665682550e+08 1.2652382356027788e+08 1.2585444095583846e+08 1.2510442859533402e+08 1.2426524170189901e+08 1.2333854285486890e+08 1.2230737957196076e+08 1.2117560864950961e+08 1.1994584806023350e+08 1.1862774342506102e+08 1.1723770613307141e+08 1.1580697348377131e+08 1.1438194127471243e+08 1.1303922527099346e+08 1.1187386428155304e+08 1.1103607012251712e+08 1.1073459416087544e+08 1.1127312141957246e+08 1.1309327742896357e+08 1.1686431113580312e+08 1.2364559980064049e+08 1.3522311267659473e+08 3.2460248251797158e+07 +8.5660220073357412e+00 3.1663771932815427e+08 3.1660679323257202e+08 3.1655459990419477e+08 3.1648618120156598e+08 3.1641766343450534e+08 3.1637424823351699e+08 3.1636718357607353e+08 3.1637737720469517e+08 3.1638522100411493e+08 3.1638629803152001e+08 3.1638231916918123e+08 3.1637293416674095e+08 3.1635687043605697e+08 3.1633301572716260e+08 3.1630031306127536e+08 3.1625738088130730e+08 3.1620258690603334e+08 3.1613410028943670e+08 3.1604978874197072e+08 3.1594709502299756e+08 3.1582299691562337e+08 3.1567379849272949e+08 3.1549399257069045e+08 3.1527402457265550e+08 3.1500557833421922e+08 3.1468479800253290e+08 3.1430476796339440e+08 3.1385554389467734e+08 3.1332534169955134e+08 3.1270041202301401e+08 3.1196477458559614e+08 3.1109989634950483e+08 3.1008435308331335e+08 3.0889348818153197e+08 3.0749910132664990e+08 3.0586914266460419e+08 3.0396754879586834e+08 3.0175422991969782e+08 2.9918539066403741e+08 2.9621421647091281e+08 2.9251798112302208e+08 2.8824196009858626e+08 2.8333208123116660e+08 2.7774578205278355e+08 2.7145979413395393e+08 2.6447878556949174e+08 2.5684352421971139e+08 2.4863654990735880e+08 2.3998333023848039e+08 2.3104546145731851e+08 2.2200762090065855e+08 2.1306543828699821e+08 2.0440725645011309e+08 1.9618233635964361e+08 1.8849998739877772e+08 1.8143020357449943e+08 1.7500012473613802e+08 1.6920643417279759e+08 1.6402130586988091e+08 1.5940914268431714e+08 1.5532178644809496e+08 1.5171699512543201e+08 1.4854637905395833e+08 1.4577480942828393e+08 1.4336181746413323e+08 1.4127228618645713e+08 1.3947908288061979e+08 1.3795100699650097e+08 1.3665764216286907e+08 1.3557733487757382e+08 1.3468140391658902e+08 1.3395054949179828e+08 1.3336146157027875e+08 1.3289493353086245e+08 1.3252394503133543e+08 1.3222170282052402e+08 1.3196938637683250e+08 1.3174845783300807e+08 1.3153967185457902e+08 1.3139182311365795e+08 1.3124250398856010e+08 1.3109013183103606e+08 1.3093053175502357e+08 1.3076588628471710e+08 1.3059136491671728e+08 1.3041333296784712e+08 1.3021518781629698e+08 1.3000313155744086e+08 1.2977326241153394e+08 1.2952253358616646e+08 1.2924724269791758e+08 1.2894321893914336e+08 1.2860437183060907e+08 1.2823192364038005e+08 1.2781104360749160e+08 1.2733916573433661e+08 1.2680944335173297e+08 1.2621450832249440e+08 1.2554676222298476e+08 1.2479858348328458e+08 1.2396144846770377e+08 1.2303701444459301e+08 1.2200837211892720e+08 1.2087936811051546e+08 1.1965261399231942e+08 1.1833773180436884e+08 1.1695109281454870e+08 1.1552385795623527e+08 1.1410230983359990e+08 1.1276287576264943e+08 1.1160036381024553e+08 1.1076461787869784e+08 1.1046387922072035e+08 1.1100108998839748e+08 1.1281679616861191e+08 1.1657861069845039e+08 1.2334332130228625e+08 1.3489252945927659e+08 3.2355611035391089e+07 +8.5709903301099999e+00 3.1614185751603210e+08 3.1611097638234383e+08 3.1605886210484737e+08 3.1599054193092102e+08 3.1592211690835530e+08 3.1587874720347351e+08 3.1587166302480417e+08 3.1588180264064699e+08 3.1588958798803329e+08 3.1589060706750005e+08 3.1588656594457078e+08 3.1587711280618709e+08 3.1586097458529538e+08 3.1583703784248286e+08 3.1580424385962474e+08 3.1576120931591851e+08 3.1570629973226070e+08 3.1563768141380107e+08 3.1555321872489864e+08 3.1545035060299629e+08 3.1532605042869061e+08 3.1517661731947565e+08 3.1499653866763943e+08 3.1477625090276837e+08 3.1450742058799541e+08 3.1418618146713024e+08 3.1380561508466744e+08 3.1335576957328373e+08 3.1282485001524293e+08 3.1219909527230215e+08 3.1146251304486167e+08 3.1059655866706437e+08 3.0957979752783132e+08 3.0838756509510028e+08 3.0699165720267057e+08 3.0536002646928483e+08 3.0345662110524833e+08 3.0124137561611319e+08 2.9867053578726697e+08 2.9569734985892975e+08 2.9199904304294449e+08 2.8772119162063968e+08 2.8280991854818100e+08 2.7722289992539912e+08 2.7093714032972437e+08 2.6395759599539414e+08 2.5632530746829623e+08 2.4812303217970189e+08 2.3947635750908327e+08 2.3054686969309103e+08 2.2151909251889938e+08 2.1258835317549729e+08 2.0394257676138091e+08 1.9573058465950686e+08 1.8806125559958464e+08 1.8100420009895742e+08 1.7458626761215639e+08 1.6880394076480564e+08 1.6362928383303976e+08 1.5902664339733902e+08 1.5494787078731820e+08 1.5135074575151926e+08 1.4818693906258500e+08 1.4542136413846186e+08 1.4301362096017769e+08 1.4092865616564295e+08 1.3913938571639857e+08 1.3761467368342802e+08 1.3632416813078836e+08 1.3524625976693213e+08 1.3435233162828884e+08 1.3362312296359903e+08 1.3303537440160201e+08 1.3256991878894943e+08 1.3219979432506202e+08 1.3189826716695800e+08 1.3164655543016921e+08 1.3142616125372951e+08 1.3121788371368435e+08 1.3107039613292857e+08 1.3092144212001419e+08 1.3076944269486687e+08 1.3061023309001258e+08 1.3044599045203026e+08 1.3027189634501705e+08 1.3009429919854009e+08 1.2989663883704376e+08 1.2968510139876048e+08 1.2945579464878064e+08 1.2920567924812633e+08 1.2893106187055217e+08 1.2862778191136134e+08 1.2828976405060966e+08 1.2791822627569917e+08 1.2749837590986805e+08 1.2702765245986660e+08 1.2649922600568780e+08 1.2590574643505882e+08 1.2523963391259223e+08 1.2449328551309715e+08 1.2365819870331793e+08 1.2273602545573834e+08 1.2170989957718585e+08 1.2058365753274058e+08 1.1935990450682282e+08 1.1804823900106432e+08 1.1666499223379129e+08 1.1524124890873736e+08 1.1382317863830511e+08 1.1248702063194674e+08 1.1132735261953232e+08 1.1049365125097808e+08 1.1019364857644512e+08 1.1072954520794711e+08 1.1254080951970862e+08 1.1629342136550961e+08 1.2304158356428203e+08 1.3456253764263830e+08 3.2251278725514188e+07 +8.5759586528842586e+00 3.1564598072008002e+08 3.1561514862704235e+08 3.1556311317668420e+08 3.1549489204307014e+08 3.1542655973437315e+08 3.1538323561649024e+08 3.1537613203136802e+08 3.1538621776508641e+08 3.1539394482452375e+08 3.1539490615393430e+08 3.1539080301077408e+08 3.1538128202828670e+08 3.1536506966994995e+08 3.1534105131465638e+08 3.1530816651955992e+08 3.1526503021292883e+08 3.1521000573456138e+08 3.1514125656228501e+08 3.1505664373688555e+08 3.1495360240403163e+08 3.1482910157258981e+08 3.1467943544553483e+08 3.1449908604068118e+08 3.1427848088171792e+08 3.1400926936940914e+08 3.1368757490573996e+08 3.1330647624737716e+08 3.1285601407055134e+08 3.1232438274939549e+08 3.1169780949270946e+08 3.1096029012887299e+08 3.1009326853089285e+08 3.0907529989339799e+08 3.0788171196223778e+08 3.0648429694439322e+08 3.0485101016675264e+08 3.0294581169235682e+08 3.0072866057453549e+08 2.9815584397946870e+08 2.9518067313328725e+08 2.9148032715704554e+08 2.8720068128220385e+08 2.8228805342020690e+08 2.7670035781582189e+08 2.7041487132377142e+08 2.6343683724934268e+08 2.5580756743538788e+08 2.4761003529456159e+08 2.3896994627012697e+08 2.3004887500917968e+08 2.2103119051037967e+08 2.1211191675635350e+08 2.0347856107908767e+08 1.9527950576720881e+08 1.8762319982701570e+08 1.8057887146757075e+08 1.7417308095209682e+08 1.6840211134144175e+08 1.6323791809400529e+08 1.5864479222006127e+08 1.5457459501329264e+08 1.5098512835077417e+08 1.4782812361409330e+08 1.4506853658867997e+08 1.4266603605357581e+08 1.4058563226327935e+08 1.3880028986182964e+08 1.3727893748921224e+08 1.3599128758251625e+08 1.3491577502822480e+08 1.3402384703999084e+08 1.3329628187444945e+08 1.3270987076379056e+08 1.3224548598861530e+08 1.3187622422208537e+08 1.3157541095286983e+08 1.3132430289994060e+08 1.3110444216263030e+08 1.3089667216102278e+08 1.3074954509594841e+08 1.3060095554183628e+08 1.3044932818126580e+08 1.3029050834775724e+08 1.3012666782003754e+08 1.2995300020678349e+08 1.2977583708705184e+08 1.2957866064664042e+08 1.2936764109892233e+08 1.2913889573693018e+08 1.2888939266158661e+08 1.2861544758751687e+08 1.2831291009488304e+08 1.2797571999459741e+08 1.2760509100703254e+08 1.2718626846286972e+08 1.2671669736723499e+08 1.2618956451910737e+08 1.2559753779901466e+08 1.2493305592613250e+08 1.2418853458702257e+08 1.2335549231153883e+08 1.2243557579165243e+08 1.2141196185085192e+08 1.2028847682114227e+08 1.1906771950990947e+08 1.1775926492220736e+08 1.1637940429897888e+08 1.1495914625076450e+08 1.1354454759942034e+08 1.1221165979031649e+08 1.1105483062177852e+08 1.1022317015236974e+08 1.0992390214131233e+08 1.1045848699107309e+08 1.1226531739381690e+08 1.1600874304547034e+08 1.2274038648997599e+08 1.3423313712081170e+08 3.2147250585099507e+07 +8.5809269756585174e+00 3.1515010142957884e+08 3.1511931464376837e+08 3.1506735665286458e+08 3.1499923523755497e+08 3.1493099566811883e+08 3.1488771720723844e+08 3.1488059432405096e+08 3.1489062630778176e+08 3.1489829524281585e+08 3.1489919901997995e+08 3.1489503409688109e+08 3.1488544556097049e+08 3.1486915941750300e+08 3.1484505987121630e+08 3.1481208476719064e+08 3.1476884729736173e+08 3.1471370863707995e+08 3.1464482945717204e+08 3.1456006749910074e+08 3.1445685414400965e+08 3.1433215406332612e+08 3.1418225658289951e+08 3.1400163839833879e+08 3.1378071821309483e+08 3.1351112837597722e+08 3.1318898200967491e+08 3.1280735513462043e+08 3.1235628105935156e+08 3.1182394356292391e+08 3.1119655833135974e+08 3.1045810946879184e+08 3.0959002955279559e+08 3.0857086376896191e+08 3.0737593234515280e+08 3.0597702408171850e+08 3.0434209724896526e+08 3.0243512400435263e+08 3.0021608818850428e+08 2.9764131857153076e+08 2.9466418955079120e+08 2.9096183662854201e+08 2.8668043213634837e+08 2.8176648877017123e+08 2.7617815849667698e+08 2.6989298971669328e+08 2.6291651173933685e+08 2.5529030631692675e+08 2.4709756122067448e+08 2.3846409825435951e+08 2.2955147890045053e+08 2.2054391613838863e+08 2.1163613007496473e+08 2.0301521025140202e+08 1.9482910035787949e+08 1.8718582060833496e+08 1.8015421808446395e+08 1.7376056505942044e+08 1.6800094612488237e+08 1.6284720880977136e+08 1.5826358925678453e+08 1.5420195918867707e+08 1.5062014295156881e+08 1.4746993270928541e+08 1.4471632675691891e+08 1.4231906270367670e+08 1.4024321442344049e+08 1.3846179524837822e+08 1.3694379833479840e+08 1.3565900043091229e+08 1.3458588056788337e+08 1.3369595005284953e+08 1.3297002612190461e+08 1.3238495055178383e+08 1.3192163502310166e+08 1.3155323461464337e+08 1.3125313406992361e+08 1.3100262867780395e+08 1.3078330045136286e+08 1.3057603708840781e+08 1.3042926989452715e+08 1.3028104414592081e+08 1.3012978818230057e+08 1.2997135742038843e+08 1.2980791828097789e+08 1.2963467639465296e+08 1.2945794652594553e+08 1.2926125313787146e+08 1.2905075055107571e+08 1.2882256556923500e+08 1.2857367371986152e+08 1.2830039974238293e+08 1.2799860338359974e+08 1.2766223955673505e+08 1.2729251772875193e+08 1.2687472116127007e+08 1.2640630035161477e+08 1.2588045878772537e+08 1.2528988231034824e+08 1.2462702816026045e+08 1.2388433060207167e+08 1.2305332919019394e+08 1.2213566535113227e+08 1.2111455883954507e+08 1.1999382587622122e+08 1.1877605890284669e+08 1.1747080947044317e+08 1.1609432891374092e+08 1.1467754988704465e+08 1.1326641662298857e+08 1.1193679314495896e+08 1.1078279772508691e+08 1.0995317449176078e+08 1.0965463982424144e+08 1.1018791524632536e+08 1.1199031969794089e+08 1.1572457564234327e+08 1.2243972997782376e+08 1.3390432778265354e+08 3.2043525878124036e+07 +8.5858952984327761e+00 3.1465421814170200e+08 3.1462347807447410e+08 3.1457159682326841e+08 3.1450357513063425e+08 3.1443542844970828e+08 3.1439219569489396e+08 3.1438505361695808e+08 3.1439503198317945e+08 3.1440264295708728e+08 3.1440348937932539e+08 3.1439926291560912e+08 3.1438960711805660e+08 3.1437324754067481e+08 3.1434906722344422e+08 3.1431600231408578e+08 3.1427266427930927e+08 3.1421741214870143e+08 3.1414840380562574e+08 3.1406349371637535e+08 3.1396010952647895e+08 3.1383521160126042e+08 3.1368508442930484e+08 3.1350419943421793e+08 3.1328296658578658e+08 3.1301300129139900e+08 3.1269040645455790e+08 3.1230825541378099e+08 3.1185657419788188e+08 3.1132353610244662e+08 3.1069534542106676e+08 3.0995597468071264e+08 3.0908684532967728e+08 3.0806649272857624e+08 3.0687022979055864e+08 3.0546984212976533e+08 3.0383329119274718e+08 3.0192456147286838e+08 2.9970366183644897e+08 2.9712696287884599e+08 2.9414790235278636e+08 2.9044357460488307e+08 2.8616044721978301e+08 2.8124522750510520e+08 2.7565630472448152e+08 2.6937149809356529e+08 2.6239662185795596e+08 2.5477352629422510e+08 2.4658561191251716e+08 2.3795881518080822e+08 2.2905468284859252e+08 2.2005727065374741e+08 2.1116099416541478e+08 2.0255252511574799e+08 1.9437936909599662e+08 1.8674911846094155e+08 1.7973024034461993e+08 1.7334872022948390e+08 1.6760044532953686e+08 1.6245715613019690e+08 1.5788303460553026e+08 1.5382996336940122e+08 1.5025578957619649e+08 1.4711236634271434e+08 1.4436473461513650e+08 1.4197270086395395e+08 1.3990140258426145e+08 1.3812390180165422e+08 1.3660925613578159e+08 1.3532730658331683e+08 1.3425657628660384e+08 1.3336864056278493e+08 1.3264435559825568e+08 1.3206061365530242e+08 1.3159836578062029e+08 1.3123082538987966e+08 1.3093143640495318e+08 1.3068153265002976e+08 1.3046273600651740e+08 1.3025597838262448e+08 1.3010957041545577e+08 1.2996170781921627e+08 1.2981082258498232e+08 1.2965278019525138e+08 1.2948974172229528e+08 1.2931692479607308e+08 1.2914062740298420e+08 1.2894441619862060e+08 1.2873442964303592e+08 1.2850680403372528e+08 1.2825852231134534e+08 1.2798591822389887e+08 1.2768486166631868e+08 1.2734932262605670e+08 1.2698050633036871e+08 1.2656373389506112e+08 1.2609646130327618e+08 1.2557190870212691e+08 1.2498277986024201e+08 1.2432155050682577e+08 1.2358067345104043e+08 1.2275170923256047e+08 1.2183629402804737e+08 1.2081769043816000e+08 1.1969970459387152e+08 1.1848492258282788e+08 1.1718287254372732e+08 1.1580976597738439e+08 1.1439645971808796e+08 1.1298878561061239e+08 1.1166242059871732e+08 1.1051125383328125e+08 1.0968366417367220e+08 1.0938586153018290e+08 1.0991782987814003e+08 1.1171581633493227e+08 1.1544091905578440e+08 1.2213961392138851e+08 1.3357610951195773e+08 3.1940103869611137e+07 +8.5908636212070348e+00 3.1415833425704908e+08 3.1412764101680142e+08 3.1407583800172871e+08 3.1400791536290765e+08 3.1393986179315144e+08 3.1389667478116542e+08 3.1388951360916185e+08 3.1389943849111158e+08 3.1390699166685498e+08 3.1390778093107957e+08 3.1390349316627532e+08 3.1389377039735478e+08 3.1387733773734844e+08 3.1385307706932884e+08 3.1381992285632259e+08 3.1377648485461396e+08 3.1372111996371120e+08 3.1365198330063242e+08 3.1356692607994103e+08 3.1346337223981285e+08 3.1333827787245625e+08 3.1318792266687596e+08 3.1300677282652479e+08 3.1278522967367548e+08 3.1251489178315276e+08 3.1219185190153801e+08 3.1180918073763323e+08 3.1135689712857485e+08 3.1082316399898738e+08 3.1019417437927330e+08 3.0945388936601073e+08 3.0858371944303811e+08 3.0756219033101428e+08 3.0636460783014989e+08 3.0496275458758759e+08 3.0332459545922852e+08 3.0141412751390177e+08 2.9919138488087511e+08 2.9661278020151097e+08 2.9363181476580709e+08 2.8992554421841681e+08 2.8564072955348533e+08 2.8072427251644444e+08 2.7513479924081296e+08 2.6885039902456021e+08 2.6187716998249960e+08 2.5425722953339136e+08 2.4607418931046405e+08 2.3745409875456542e+08 2.2855848832197246e+08 2.1957125529462168e+08 2.1068651004980180e+08 2.0209050649840114e+08 1.9393031263599983e+08 1.8631309389323127e+08 1.7930693863493580e+08 1.7293754674933797e+08 1.6720060916250300e+08 1.6206776019771859e+08 1.5750312835717514e+08 1.5345860760487401e+08 1.4989206824038187e+08 1.4675542450289023e+08 1.4401376012958342e+08 1.4162695048236746e+08 1.3956019667844036e+08 1.3778660944212198e+08 1.3627531080232432e+08 1.3499620594173470e+08 1.3392786208025157e+08 1.3304191846075073e+08 1.3231927019086882e+08 1.3173685995919240e+08 1.3127567814427561e+08 1.3090899642999575e+08 1.3061031783956051e+08 1.3036101469848129e+08 1.3014274870961601e+08 1.2993649592509645e+08 1.2979044654049510e+08 1.2964294644364053e+08 1.2949243127154218e+08 1.2933477655431440e+08 1.2917213802633952e+08 1.2899974529353714e+08 1.2882387960073105e+08 1.2862814971160863e+08 1.2841867825796674e+08 1.2819161101368724e+08 1.2794393831956719e+08 1.2767200291579059e+08 1.2737168482709493e+08 1.2703696908701871e+08 1.2666905669641320e+08 1.2625330654918244e+08 1.2578718010775454e+08 1.2526391414833534e+08 1.2467623033523916e+08 1.2401662285276964e+08 1.2327756302135971e+08 1.2245063232714279e+08 1.2153746171182494e+08 1.2052135653689162e+08 1.1940611286532605e+08 1.1819431044195832e+08 1.1689545403568807e+08 1.1552571538468751e+08 1.1411587563997546e+08 1.1271165445971258e+08 1.1138854205002044e+08 1.1024019884590983e+08 1.0941463909848006e+08 1.0911756715974465e+08 1.0964823078659210e+08 1.1144180720326410e+08 1.1515777318079787e+08 1.2184003820992509e+08 1.3324848218731377e+08 3.1836983825633239e+07 +8.5958319439812936e+00 3.1366245425181985e+08 3.1363180813054127e+08 3.1358008373131049e+08 3.1351225967554814e+08 3.1344429938127756e+08 3.1340115815126151e+08 3.1339397798495251e+08 3.1340384951668918e+08 3.1341134505650723e+08 3.1341207735928339e+08 3.1340772853287089e+08 3.1339793908306426e+08 3.1338143369101691e+08 3.1335709309092295e+08 3.1332385007587683e+08 3.1328031270356047e+08 3.1322483576134551e+08 3.1315557161979997e+08 3.1307036826590675e+08 3.1296664595790929e+08 3.1284135654738671e+08 3.1269077496385092e+08 3.1250936223931378e+08 3.1228751113578206e+08 3.1201680350483024e+08 3.1169332199672598e+08 3.1131013474429065e+08 3.1085725347994483e+08 3.1032283086913234e+08 3.0969304880836713e+08 3.0895185711058360e+08 3.0808065546001953e+08 3.0705796012021822e+08 3.0585906998023987e+08 3.0445576493936872e+08 3.0281601349428624e+08 3.0090382552848780e+08 2.9867926066974062e+08 2.9609877382403731e+08 2.9311592999965280e+08 2.8940774858497298e+08 2.8512128214329708e+08 2.8020362668024361e+08 2.7461364477175945e+08 2.6832969506406510e+08 2.6135815847561657e+08 2.5374141818605199e+08 2.4556329534053954e+08 2.3694995066698560e+08 2.2806289677605984e+08 2.1908587128711474e+08 2.1021267873872188e+08 2.0162915521501678e+08 1.9348193162262303e+08 1.8587774740366054e+08 1.7888431333266950e+08 1.7252704489785457e+08 1.6680143782280871e+08 1.6167902114773804e+08 1.5712387059588945e+08 1.5308789193802810e+08 1.4952897895372868e+08 1.4639910717226318e+08 1.4366340326052737e+08 1.4128181150068802e+08 1.3921959663313407e+08 1.3744991808443177e+08 1.3594196223948640e+08 1.3466569840318197e+08 1.3359973783924475e+08 1.3271578363241081e+08 1.3199476978178938e+08 1.3141368934305605e+08 1.3095357199206014e+08 1.3058774761217596e+08 1.3028977825040278e+08 1.3004107469949397e+08 1.2982333843722150e+08 1.2961758959274633e+08 1.2947189814656240e+08 1.2932475989619556e+08 1.2917461411876202e+08 1.2901734637505947e+08 1.2885510707043976e+08 1.2868313776468043e+08 1.2850770299692087e+08 1.2831245355479230e+08 1.2810349627389644e+08 1.2787698638752264e+08 1.2762992162306213e+08 1.2735865369676109e+08 1.2705907274507940e+08 1.2672517881902322e+08 1.2635816870679028e+08 1.2594343900375383e+08 1.2547845664555815e+08 1.2495647500731882e+08 1.2437023361699937e+08 1.2371224508044638e+08 1.2297499919621515e+08 1.2215009835763277e+08 1.2123916828689443e+08 1.2022555702136183e+08 1.1911305057722743e+08 1.1790422236818039e+08 1.1660855383523159e+08 1.1524217702605060e+08 1.1383579754437409e+08 1.1243502306335387e+08 1.1111515739330754e+08 1.0996963265850872e+08 1.0914609916230828e+08 1.0884975660932395e+08 1.0937911786770010e+08 1.1116829219720986e+08 1.1487513790810764e+08 1.2154100272767189e+08 1.3292144568230401e+08 3.1734165013314262e+07 +8.6008002667555523e+00 3.1316658199690318e+08 3.1313598391841114e+08 3.1308433726303327e+08 3.1301661185257375e+08 3.1294874486786622e+08 3.1290564947381920e+08 3.1289845041367102e+08 3.1290826873028445e+08 3.1291570679600877e+08 3.1291638233377618e+08 3.1291197268453610e+08 3.1290211684395826e+08 3.1288553906944388e+08 3.1286111895649022e+08 3.1282778763940400e+08 3.1278415149240661e+08 3.1272856320612371e+08 3.1265917242632324e+08 3.1257382393483043e+08 3.1246993433906192e+08 3.1234445128257149e+08 3.1219364497231686e+08 3.1201197132113516e+08 3.1178981461582130e+08 3.1151874009439528e+08 3.1119482037176907e+08 3.1081112105652040e+08 3.1035764686485153e+08 3.0982254031416053e+08 3.0919197229599220e+08 3.0844988148550856e+08 3.0757765693191361e+08 3.0655380562428355e+08 3.0535361974228811e+08 3.0394887665432727e+08 3.0230754872907847e+08 3.0039365890216595e+08 2.9816729253489411e+08 2.9558494701531309e+08 2.9260025124939680e+08 2.8889019080619603e+08 2.8460210797933221e+08 2.7968329285717922e+08 2.7409284402745616e+08 2.6780938875134104e+08 2.6083958968470070e+08 2.5322609438897270e+08 2.4505293191399112e+08 2.3644637259590706e+08 2.2756790965299436e+08 2.1860111984465283e+08 2.0973950123134661e+08 2.0116847206997713e+08 1.9303422669003570e+08 1.8544307948189560e+08 1.7846236480721605e+08 1.7211721494557837e+08 1.6640293150207320e+08 1.6129093910828373e+08 1.5674526139886275e+08 1.5271781640515432e+08 1.4916652171946961e+08 1.4604341432729846e+08 1.4331366396223521e+08 1.4093728385557291e+08 1.3887960237002018e+08 1.3711382763805187e+08 1.3560921034658700e+08 1.3433578385922641e+08 1.3327220344899482e+08 1.3239023595834747e+08 1.3167085424818479e+08 1.3109110168165284e+08 1.3063204719711500e+08 1.3026707880843443e+08 1.2996981750929283e+08 1.2972171252479048e+08 1.2950450506096742e+08 1.2929925925729902e+08 1.2915392510545254e+08 1.2900714804881720e+08 1.2885737099908192e+08 1.2870048952963907e+08 1.2853864872713593e+08 1.2836710208213122e+08 1.2819209746439299e+08 1.2799732760125765e+08 1.2778888356404278e+08 1.2756293002861947e+08 1.2731647209547207e+08 1.2704587044080679e+08 1.2674702529448320e+08 1.2641395169665352e+08 1.2604784223631883e+08 1.2563413113410835e+08 1.2517029079243290e+08 1.2464959115554896e+08 1.2406478958246702e+08 1.2340841706746890e+08 1.2267298185372046e+08 1.2185010720328359e+08 1.2094141363347934e+08 1.1993029177251253e+08 1.1882051761172925e+08 1.1761465824480644e+08 1.1632217182711899e+08 1.1495915078736587e+08 1.1355622531868082e+08 1.1215889131023908e+08 1.1084226651854663e+08 1.0969955516206531e+08 1.0887804425704457e+08 1.0858242977127583e+08 1.0911049101324347e+08 1.1089527120668735e+08 1.1459301312411970e+08 1.2124250735439737e+08 1.3259499986533685e+08 3.1631646700832218e+07 +8.6057685895298111e+00 3.1267072132881451e+08 3.1264016990975475e+08 3.1258860143447995e+08 3.1252097560278356e+08 3.1245320188315111e+08 3.1241015240105855e+08 3.1240293454994458e+08 3.1241269978731799e+08 3.1242008054030889e+08 3.1242069950906879e+08 3.1241622927570415e+08 3.1240630733383095e+08 3.1238965752687079e+08 3.1236515831843054e+08 3.1233173919921452e+08 3.1228800487173426e+08 3.1223230594807678e+08 3.1216278936822677e+08 3.1207729673344380e+08 3.1197324102766490e+08 3.1184756571910405e+08 3.1169653633086902e+08 3.1151460370660114e+08 3.1129214374358141e+08 3.1102070517559201e+08 3.1069635064273888e+08 3.1031214328270006e+08 3.0985808088147873e+08 3.0932229592051458e+08 3.0869094841465539e+08 3.0794796604716402e+08 3.0707472739559728e+08 3.0604973035725367e+08 3.0484826060240120e+08 3.0344209318633336e+08 3.0179920457885718e+08 2.9988363100482655e+08 2.9765548379330969e+08 2.9507130302918732e+08 2.9208478169480234e+08 2.8837287396730882e+08 2.8408321003614825e+08 2.7916327389192438e+08 2.7357239970301884e+08 2.6728948261073992e+08 2.6032146594217148e+08 2.5271126026430613e+08 2.4454310092851737e+08 2.3594336620483083e+08 2.2707352838198349e+08 2.1811700216835204e+08 2.0926697851506737e+08 2.0070845785754240e+08 1.9258719846264634e+08 1.8500909060807049e+08 1.7804109341851383e+08 1.7170805715552345e+08 1.6600509038407728e+08 1.6090351420038956e+08 1.5636730083635280e+08 1.5234838103619981e+08 1.4880469653479388e+08 1.4568834593846649e+08 1.4296454218372920e+08 1.4059336747769678e+08 1.3854021380510053e+08 1.3677833800729212e+08 1.3527705501802027e+08 1.3400646219631198e+08 1.3294525878980054e+08 1.3206527531409907e+08 1.3134752346205382e+08 1.3076909684452699e+08 1.3031110362749051e+08 1.2994698988600315e+08 1.2965043548301588e+08 1.2940292804103008e+08 1.2918624844757785e+08 1.2898150478551006e+08 1.2883652728418408e+08 1.2869011076870826e+08 1.2854070177977620e+08 1.2838420588559477e+08 1.2822276286400558e+08 1.2805163811370929e+08 1.2787706287110943e+08 1.2768277171908736e+08 1.2747483999686074e+08 1.2724944180561198e+08 1.2700358960582174e+08 1.2673365301718082e+08 1.2643554234479190e+08 1.2610328758973797e+08 1.2573807715533589e+08 1.2532538281108330e+08 1.2486268241961443e+08 1.2434326246451700e+08 1.2375989810377812e+08 1.2310513868670999e+08 1.2237151086771531e+08 1.2155065873854215e+08 1.2064419762690915e+08 1.1963556066697165e+08 1.1852851384638989e+08 1.1732561795068163e+08 1.1603630789147170e+08 1.1467663655016699e+08 1.1327715884584339e+08 1.1188325908481616e+08 1.1056986931148301e+08 1.0942996624370101e+08 1.0861047427075495e+08 1.0831558653372443e+08 1.0884235011063966e+08 1.1062274411759646e+08 1.1431139871065259e+08 1.2094455196523955e+08 1.3226914459978457e+08 3.1529428157421615e+07 +8.6107369123040698e+00 3.1217487602271128e+08 3.1214437070218736e+08 3.1209288064345467e+08 3.1202535449586731e+08 3.1195767404374880e+08 3.1191467057009435e+08 3.1190743403370875e+08 3.1191714632830608e+08 3.1192446992953134e+08 3.1192503252524072e+08 3.1192050194608086e+08 3.1191051419216895e+08 3.1189379270165735e+08 3.1186921481531632e+08 3.1183570839253062e+08 3.1179187647819465e+08 3.1173606762199712e+08 3.1166642607906163e+08 3.1158079029301244e+08 3.1147656965310246e+08 3.1135070348338544e+08 3.1119945266258502e+08 3.1101726301485622e+08 3.1079450213379830e+08 3.1052270235683191e+08 3.1019791641156590e+08 3.0981320501586431e+08 3.0935855911341989e+08 3.0882210126003999e+08 3.0818998072213638e+08 3.0744611433651024e+08 3.0657187037264276e+08 3.0554573781727052e+08 3.0434299603181690e+08 3.0293541797386932e+08 3.0129098444420165e+08 2.9937374519220102e+08 2.9714383774634588e+08 2.9455784510422021e+08 2.9156952449974024e+08 2.8785580113826352e+08 2.8356459127305520e+08 2.7864357261440694e+08 2.7305231447843218e+08 2.6676997915060911e+08 2.5980378956533304e+08 2.5219691791968465e+08 2.4403380426702443e+08 2.3544093314431438e+08 2.2657975437925920e+08 2.1763351944747216e+08 2.0879511156584120e+08 2.0024911336074132e+08 1.9214084755495596e+08 1.8457578125295666e+08 1.7762049951851162e+08 1.7129957178211737e+08 1.6560791464552915e+08 1.6051674653750610e+08 1.5598998897213170e+08 1.5197958585454088e+08 1.4844350339060339e+08 1.4533390197030842e+08 1.4261603786751473e+08 1.4025006229223630e+08 1.3820143084906369e+08 1.3644344909054542e+08 1.3494549614271480e+08 1.3367773329557218e+08 1.3261890373678894e+08 1.3174090157022020e+08 1.3102477729033105e+08 1.3044767469630025e+08 1.2999074114630345e+08 1.2962748070715231e+08 1.2933163203328291e+08 1.2908472110974926e+08 1.2886856845881456e+08 1.2866432603942551e+08 1.2851970454483283e+08 1.2837364791800500e+08 1.2822460632307722e+08 1.2806849530542599e+08 1.2790744934381171e+08 1.2773674572230852e+08 1.2756259908013374e+08 1.2736878577158883e+08 1.2716136543582031e+08 1.2693652158219245e+08 1.2669127401797366e+08 1.2642200129012859e+08 1.2612462376064567e+08 1.2579318636329967e+08 1.2542887332903796e+08 1.2501719390021293e+08 1.2455563139336365e+08 1.2403748880120647e+08 1.2345555904848179e+08 1.2280240980635805e+08 1.2207058610707852e+08 1.2125175283319557e+08 1.2034752013802218e+08 1.1934136357651754e+08 1.1823703915441298e+08 1.1703710136014228e+08 1.1575096190407161e+08 1.1439463419187635e+08 1.1299859800475721e+08 1.1160812626737468e+08 1.1029796565381892e+08 1.0916086578611903e+08 1.0834338908695087e+08 1.0804922678062482e+08 1.0857469504360151e+08 1.1035071081137070e+08 1.1403029454548977e+08 1.2064713643072604e+08 1.3194387974401191e+08 3.1427508653375868e+07 +8.6157052350783285e+00 3.1167905020232671e+08 3.1164859080875564e+08 3.1159717932436079e+08 3.1152975206716114e+08 3.1146216496204615e+08 3.1141920760381478e+08 3.1141195249023426e+08 3.1142161197898895e+08 3.1142887858939517e+08 3.1142938500745291e+08 3.1142479432092381e+08 3.1141474104419374e+08 3.1139794821846133e+08 3.1137329207060134e+08 3.1133969884230268e+08 3.1129576993365848e+08 3.1123985184828866e+08 3.1117008617756230e+08 3.1108430823054516e+08 3.1097992382971859e+08 3.1085386818733138e+08 3.1070239757585728e+08 3.1051995285003072e+08 3.1029689338542497e+08 3.1002473523189288e+08 3.0969952126489675e+08 3.0931430983454370e+08 3.0885908512892103e+08 3.0832195988882416e+08 3.0768907276088691e+08 3.0694432987985390e+08 3.0606908936941797e+08 3.0504183148814166e+08 3.0383782948650974e+08 3.0242885444064373e+08 3.0078289171018410e+08 2.9886400480360645e+08 2.9663235768026453e+08 2.9404457646318847e+08 2.9105448281287801e+08 2.8733897537368745e+08 2.8304625463401192e+08 2.7812419183848113e+08 2.7253259101784796e+08 2.6625088086509022e+08 2.5928656285671136e+08 2.5168306944795245e+08 2.4352504379883727e+08 2.3493907505114439e+08 2.2608658904802969e+08 2.1715067285838574e+08 2.0832390134826314e+08 1.9979043935207486e+08 1.9169517457144389e+08 1.8414315187817702e+08 1.7720058345040357e+08 1.7089175907196763e+08 1.6521140445526657e+08 1.6013063622669595e+08 1.5561332586323136e+08 1.5161143087713525e+08 1.4808294227143908e+08 1.4498008238133368e+08 1.4226815095109683e+08 1.3990736821887797e+08 1.3786325340711424e+08 1.3610916078147861e+08 1.3461453360466444e+08 1.3334959703324395e+08 1.3229313815986115e+08 1.3141711459201597e+08 1.3070261559530783e+08 1.3012683509680930e+08 1.2967095961173047e+08 1.2930855112914138e+08 1.2901340701709756e+08 1.2876709158798328e+08 1.2855146495155339e+08 1.2834772287599289e+08 1.2820345674464364e+08 1.2805775935420910e+08 1.2790908448658928e+08 1.2775335764697322e+08 1.2759270802442405e+08 1.2742242476601510e+08 1.2724870594976346e+08 1.2705536961719361e+08 1.2684845973962300e+08 1.2662416921748516e+08 1.2637952519124602e+08 1.2611091511908433e+08 1.2581426940192789e+08 1.2548364787753519e+08 1.2512023061820257e+08 1.2470956426276816e+08 1.2424913757526052e+08 1.2373227002778997e+08 1.2315177227945265e+08 1.2250023029001807e+08 1.2177020743622060e+08 1.2095338935275583e+08 1.2005138103314903e+08 1.1904770036854257e+08 1.1794609340434575e+08 1.1674910834321147e+08 1.1546613373633528e+08 1.1411314358514479e+08 1.1272054266973178e+08 1.1133349273384814e+08 1.1002655542287016e+08 1.0889225366810021e+08 1.0807678858538342e+08 1.0778335039210358e+08 1.0830752569143702e+08 1.1007917116551995e+08 1.1374970050180039e+08 1.2035026061673568e+08 1.3161920515155306e+08 3.1325887460049849e+07 +8.6206735578525873e+00 3.1118324751773745e+08 3.1115283341897517e+08 3.1110150015474892e+08 3.1103417196728623e+08 3.1096667825212896e+08 3.1092376711157203e+08 3.1091649352983439e+08 3.1092610035028201e+08 3.1093331013050425e+08 3.1093376056606847e+08 3.1092911001040423e+08 3.1091899149919301e+08 3.1090212768621010e+08 3.1087739369283211e+08 3.1084371415596545e+08 3.1079968884443682e+08 3.1074366223271918e+08 3.1067377326757884e+08 3.1058785414827538e+08 3.1048330715728801e+08 3.1035706342811203e+08 3.1020537466443139e+08 3.1002267680228883e+08 3.0979932108398288e+08 3.0952680738015193e+08 3.0920116877461272e+08 3.0881546130192608e+08 3.0835966248160601e+08 3.0782187534933376e+08 3.0718822805903137e+08 3.0644261618826246e+08 3.0556638787787217e+08 3.0453801483803773e+08 3.0333276440753621e+08 3.0192240599501187e+08 3.0027492974675345e+08 2.9835441316370898e+08 2.9612104686582464e+08 2.9353150031359988e+08 2.9053965976769090e+08 2.8682239971303678e+08 2.8252820304701245e+08 2.7760513436349916e+08 2.7201323197053933e+08 2.6573219023257867e+08 2.5876978810379773e+08 2.5116971692728999e+08 2.4301682137868032e+08 2.3443779354803562e+08 2.2559403377870852e+08 2.1666846356571469e+08 2.0785334881519514e+08 1.9933243659364989e+08 1.9125018010652560e+08 1.8371120293637073e+08 1.7678134554862720e+08 1.7048461926372215e+08 1.6481555997448444e+08 1.5974518336767250e+08 1.5523731155974013e+08 1.5124391611469221e+08 1.4772301315621546e+08 1.4462688712419680e+08 1.4192088136560798e+08 1.3956528517170379e+08 1.3752568137910852e+08 1.3577547296805039e+08 1.3428416728228259e+08 1.3302205328029950e+08 1.3196796192407916e+08 1.3109391423998521e+08 1.3038103823385203e+08 1.2980657790068543e+08 1.2935175887719767e+08 1.2899020100439720e+08 1.2869576028648050e+08 1.2845003932765685e+08 1.2823493777790876e+08 1.2803169514753227e+08 1.2788778373588666e+08 1.2774244492975444e+08 1.2759413612311156e+08 1.2743879276294260e+08 1.2727853875893082e+08 1.2710867509804745e+08 1.2693538333346178e+08 1.2674252310965082e+08 1.2653612276219761e+08 1.2631238456551009e+08 1.2606834298004085e+08 1.2580039435906819e+08 1.2550447912369582e+08 1.2517467198798420e+08 1.2481214887866554e+08 1.2440249375493127e+08 1.2394320082223143e+08 1.2342760600175129e+08 1.2284853765476209e+08 1.2219859999654275e+08 1.2147037471503927e+08 1.2065556815780558e+08 1.1975578017393118e+08 1.1875457090600795e+08 1.1765567646027730e+08 1.1646163876542978e+08 1.1518182325523941e+08 1.1383216459869108e+08 1.1244299271092752e+08 1.1105935835620499e+08 1.0975563849216917e+08 1.0862412976437426e+08 1.0781067264153561e+08 1.0751795724386683e+08 1.0804084192930605e+08 1.0980812505314825e+08 1.1346961644876330e+08 1.2005392438486311e+08 1.3129512067061783e+08 3.1224563849862114e+07 +8.6256418806268460e+00 3.1068746791806686e+08 3.1065710096709156e+08 3.1060584627731329e+08 3.1053861789416462e+08 3.1047121752636564e+08 3.1042835268973869e+08 3.1042106074823189e+08 3.1043061503858215e+08 3.1043776814892155e+08 3.1043816279720521e+08 3.1043345260997838e+08 3.1042326915292466e+08 3.1040633470004588e+08 3.1038152327644563e+08 3.1034775792703426e+08 3.1030363680309910e+08 3.1024750236580706e+08 3.1017749093877071e+08 3.1009143163326263e+08 3.0998672322107291e+08 3.0986029278783536e+08 3.0970838750740534e+08 3.0952543844651985e+08 3.0930178879944223e+08 3.0902892236558139e+08 3.0870286249811888e+08 3.0831666296738750e+08 3.0786029471028775e+08 3.0732185116845280e+08 3.0668745012934852e+08 3.0594097675821114e+08 3.0506376937454587e+08 3.0403429132045341e+08 3.0282780422058809e+08 3.0141607603062004e+08 2.9976710190917724e+08 2.9784497358182877e+08 2.9560990855917102e+08 2.9301861984834921e+08 2.9002505848229450e+08 2.8630607718000799e+08 2.8201043942512035e+08 2.7708640297256249e+08 2.7149423997035944e+08 2.6521390971654400e+08 2.5825346757948208e+08 2.5065686242174011e+08 2.4250913884727868e+08 2.3393709024503422e+08 2.2510208994896957e+08 2.1618689272192502e+08 2.0738345490867585e+08 1.9887510583636871e+08 1.9080586474515346e+08 1.8327993487067264e+08 1.7636278613931674e+08 1.7007815258821076e+08 1.6442038135745189e+08 1.5936038805274558e+08 1.5486194610546529e+08 1.5087704157153186e+08 1.4736371601746610e+08 1.4427431614582995e+08 1.4157422903713059e+08 1.3922381305921426e+08 1.3718871465942740e+08 1.3544238553311026e+08 1.3395439704919578e+08 1.3269510190261896e+08 1.3164337488948980e+08 1.3077130036957106e+08 1.3006004505831940e+08 1.2948690295794970e+08 1.2903313879091737e+08 1.2867243018052857e+08 1.2837869168877159e+08 1.2813356417590755e+08 1.2791898678506491e+08 1.2771624270139407e+08 1.2757268536624853e+08 1.2742770449240781e+08 1.2727976108037589e+08 1.2712480050152324e+08 1.2696494139567871e+08 1.2679549656718767e+08 1.2662263107989816e+08 1.2643024609792791e+08 1.2622435435269597e+08 1.2600116747588272e+08 1.2575772723418815e+08 1.2549043885996845e+08 1.2519525277644362e+08 1.2486625854550786e+08 1.2450462796156782e+08 1.2409598222864512e+08 1.2363782098660822e+08 1.2312349657596755e+08 1.2254585502807947e+08 1.2189751878035347e+08 1.2117108779852507e+08 1.2035828910450290e+08 1.1946071741763730e+08 1.1846197504733048e+08 1.1736578818211110e+08 1.1617469248793966e+08 1.1489803032343681e+08 1.1355169709685624e+08 1.1216594799448124e+08 1.1078572300181536e+08 1.0948521473064359e+08 1.0835649394519618e+08 1.0754504112687078e+08 1.0725304720794679e+08 1.0777464362856381e+08 1.0953757234357505e+08 1.1319004225089587e+08 1.1975812759183569e+08 1.3097162614487430e+08 3.1123537096297305e+07 +8.6306102034011047e+00 3.1019171835310924e+08 3.1016139979806107e+08 3.1011022211912125e+08 3.1004309344286442e+08 3.0997578638968492e+08 3.0993296792232740e+08 3.0992565772690058e+08 3.0993515962525505e+08 3.0994225622610253e+08 3.0994259528201187e+08 3.0993782570104963e+08 3.0992757758563662e+08 3.0991057283987486e+08 3.0988568440065694e+08 3.0985183373427868e+08 3.0980761738702971e+08 3.0975137582402509e+08 3.0968124276545161e+08 3.0959504425857574e+08 3.0949017559111589e+08 3.0936355983416271e+08 3.0921143966893744e+08 3.0902824134300703e+08 3.0880430008720267e+08 3.0853108373802960e+08 3.0820460597761953e+08 3.0781791836448342e+08 3.0736098533900559e+08 3.0682189085773802e+08 3.0618674246988696e+08 3.0543941507116127e+08 3.0456123732140589e+08 3.0353066437404943e+08 3.0232295233685344e+08 3.0090986792554688e+08 2.9925941153681755e+08 2.9733568935267258e+08 2.9509894600007218e+08 2.9250593824410284e+08 2.8951068205910128e+08 2.8579001078331548e+08 2.8149296666639817e+08 2.7656800043397146e+08 2.7097561763608307e+08 2.6469604176534915e+08 2.5773760354157129e+08 2.5014450798079589e+08 2.4200199803147236e+08 2.3343696673812425e+08 2.2461075892323279e+08 2.1570596146712497e+08 2.0691422055864823e+08 1.9841844782115421e+08 1.9036222906219554e+08 1.8284934811533260e+08 1.7594490554023394e+08 1.6967235926810303e+08 1.6402586875038823e+08 1.5897625036776429e+08 1.5448722953735071e+08 1.5051080724536893e+08 1.4700505082147050e+08 1.4392236938708699e+08 1.4122819388569260e+08 1.3888295178439385e+08 1.3685235313705808e+08 1.3510989835435620e+08 1.3362522277350269e+08 1.3236874276109038e+08 1.3131937691098011e+08 1.3044927283140232e+08 1.2973963591577716e+08 1.2916781011345279e+08 1.2871509919659731e+08 1.2835523850028300e+08 1.2806220106627305e+08 1.2781766597514936e+08 1.2760361181559248e+08 1.2740136538028628e+08 1.2725816147843821e+08 1.2711353788514665e+08 1.2696595920166144e+08 1.2681138070602372e+08 1.2665191577809179e+08 1.2648288901682745e+08 1.2631044903294966e+08 1.2611853842616452e+08 1.2591315435568893e+08 1.2569051779308942e+08 1.2544767779862420e+08 1.2518104846714200e+08 1.2488659020571342e+08 1.2455840739609028e+08 1.2419766771368350e+08 1.2379002953080578e+08 1.2333299791586122e+08 1.2281994159868923e+08 1.2224372424831986e+08 1.2159698649112628e+08 1.2087234653750014e+08 1.2006155204456757e+08 1.1916619261709535e+08 1.1816991264658476e+08 1.1707642842512517e+08 1.1588826936749910e+08 1.1461475479942289e+08 1.1327174093964447e+08 1.1188940838202505e+08 1.1051258653439456e+08 1.0921528400352348e+08 1.0808934607722083e+08 1.0727989390894462e+08 1.0698862015198217e+08 1.0750893065637468e+08 1.0926751290159965e+08 1.1291097776884077e+08 1.1946287009021318e+08 1.3064872141271770e+08 3.1022806473908599e+07 +8.6355785261753635e+00 3.0969600165372080e+08 3.0966573132918048e+08 3.0961463123542231e+08 3.0954760210837442e+08 3.0948038842864567e+08 3.0943761637973422e+08 3.0943028803239685e+08 3.0943973767651439e+08 3.0944677792872620e+08 3.0944706158674854e+08 3.0944223284935802e+08 3.0943192036383808e+08 3.0941484567109913e+08 3.0938988063029873e+08 3.0935594514119780e+08 3.0931163415901589e+08 3.0925528616884738e+08 3.0918503230760151e+08 3.0909869558181119e+08 3.0899366782350647e+08 3.0886686811990297e+08 3.0871453469872510e+08 3.0853108903722268e+08 3.0830685848826838e+08 3.0803329503220683e+08 3.0770640274109977e+08 3.0731923101264447e+08 3.0686173787684876e+08 3.0632199791498989e+08 3.0568610856413978e+08 3.0493793459380072e+08 3.0405879516536307e+08 3.0302713742234290e+08 3.0181821215237218e+08 3.0040378504350972e+08 2.9875186195471561e+08 2.9682656375483561e+08 2.9458816241458124e+08 2.9199345866311777e+08 2.8899653358587790e+08 2.8527420351600814e+08 2.8097578765267301e+08 2.7604992950064796e+08 2.7045736757120574e+08 2.6417858881231919e+08 2.5722219823343480e+08 2.4963265563917136e+08 2.4149540074445078e+08 2.3293742461010385e+08 2.2412004205337390e+08 2.1522567092985711e+08 2.0644564668474174e+08 1.9796246327833146e+08 1.8991927362279138e+08 1.8241944309552002e+08 1.7552770406045878e+08 1.6926723951836625e+08 1.6363202229294258e+08 1.5859277039141133e+08 1.5411316188559356e+08 1.5014521312815917e+08 1.4664701752880570e+08 1.4357104678304604e+08 1.4088277582573885e+08 1.3854270124491981e+08 1.3651659669591454e+08 1.3477801130417508e+08 1.3329664431851634e+08 1.3204297571143022e+08 1.3099596783856139e+08 1.3012783147087370e+08 1.2941981064867119e+08 1.2884929920750692e+08 1.2839763993293151e+08 1.2803862580169980e+08 1.2774628825664425e+08 1.2750234456286456e+08 1.2728881270698580e+08 1.2708706302190661e+08 1.2694421191045047e+08 1.2679994494606926e+08 1.2665273032525375e+08 1.2649853321510921e+08 1.2633946174490364e+08 1.2617085228615715e+08 1.2599883703193788e+08 1.2580739993372345e+08 1.2560252261065885e+08 1.2538043535729092e+08 1.2513819451364420e+08 1.2487222302118662e+08 1.2457849125277971e+08 1.2425111838135001e+08 1.2389126797664724e+08 1.2348463550390629e+08 1.2302873145305771e+08 1.2251694091350269e+08 1.2194214515984915e+08 1.2129700297422943e+08 1.2057415077800260e+08 1.1976535682529454e+08 1.1887220562056400e+08 1.1787838355318803e+08 1.1678759704026447e+08 1.1560236925683752e+08 1.1433199653727292e+08 1.1299229598293166e+08 1.1161337373111603e+08 1.1023994881313580e+08 1.0894584617156665e+08 1.0782268602270247e+08 1.0701523085099335e+08 1.0672467593989250e+08 1.0724370287583946e+08 1.0899794658825684e+08 1.1263242285890657e+08 1.1916815172780475e+08 1.3032640630794646e+08 3.0922371258319769e+07 +8.6405468489496222e+00 3.0920032377662033e+08 3.0917009817053843e+08 3.0911907685498607e+08 3.0905214739186609e+08 3.0898502720538175e+08 3.0894230161806744e+08 3.0893495521671176e+08 3.0894435274477732e+08 3.0895133680890405e+08 3.0895156526363295e+08 3.0894667760716683e+08 3.0893630103841162e+08 3.0891915674467617e+08 3.0889411551555675e+08 3.0886009569728523e+08 3.0881569066733551e+08 3.0875923694705778e+08 3.0868886311058229e+08 3.0860238914676511e+08 3.0849720345895261e+08 3.0837022118349773e+08 3.0821767613136023e+08 3.0803398506060749e+08 3.0780946752835733e+08 3.0753555976805741e+08 3.0720825630127329e+08 3.0682060441644591e+08 3.0636255581838381e+08 3.0582217582295519e+08 3.0518555188035262e+08 3.0443653877771491e+08 3.0355644633819109e+08 3.0252371387371719e+08 3.0131358704787832e+08 2.9989783073249948e+08 2.9824445647212470e+08 2.9631760005241483e+08 2.9407756101234996e+08 2.9148118425191587e+08 2.8848261613459969e+08 2.8475865835618657e+08 2.8045890525136852e+08 2.7553219291048902e+08 2.6993949236411399e+08 2.6366155327608940e+08 2.5670725388323161e+08 2.4912130741766247e+08 2.4098934878492042e+08 2.3243846543040895e+08 2.2362994067887464e+08 2.1474602222647777e+08 2.0597773419464856e+08 1.9750715292761734e+08 1.8947699898235014e+08 1.8199022022749707e+08 1.7511118200084427e+08 1.6886279354610893e+08 1.6323884211666015e+08 1.5820994819543061e+08 1.5373974317414960e+08 1.4978025920513257e+08 1.4628961609402424e+08 1.4322034826337603e+08 1.4053797476636848e+08 1.3820306133306050e+08 1.3618144521430075e+08 1.3444672424959901e+08 1.3296866154228580e+08 1.3171780060445118e+08 1.3067314751732312e+08 1.2980697612882128e+08 1.2910056909458506e+08 1.2853137007532343e+08 1.2808076083382832e+08 1.2772259191781087e+08 1.2743095309279680e+08 1.2718759977189273e+08 1.2697458929219943e+08 1.2677333545953181e+08 1.2663083649571717e+08 1.2648692550875014e+08 1.2634007428494486e+08 1.2618625786246319e+08 1.2602757913038348e+08 1.2585938620941977e+08 1.2568779491128829e+08 1.2549683045548281e+08 1.2529245895284440e+08 1.2507092000374734e+08 1.2482927721496457e+08 1.2456396235824579e+08 1.2427095575381464e+08 1.2394439133795567e+08 1.2358542858795065e+08 1.2317979998577572e+08 1.2272502143671583e+08 1.2221449435968845e+08 1.2164111760260327e+08 1.2099756807021223e+08 1.2027650036179420e+08 1.1946970328923707e+08 1.1857875627193007e+08 1.1758738761241221e+08 1.1649929387421671e+08 1.1531699200385307e+08 1.1404975538681619e+08 1.1271336207826561e+08 1.1133784389531326e+08 1.0996780969330370e+08 1.0867690109187852e+08 1.0755651364019983e+08 1.0675105181264141e+08 1.0646121443144919e+08 1.0697896014613599e+08 1.0872887326037709e+08 1.1235437737309788e+08 1.1887397234815305e+08 1.3000468065939143e+08 3.0822230726227656e+07 +8.6455151717238810e+00 3.0870468503296423e+08 3.0867450528680551e+08 3.0862356244058985e+08 3.0855673286048484e+08 3.0848970625460887e+08 3.0844702717923224e+08 3.0843966281732762e+08 3.0844900836734688e+08 3.0845593640397197e+08 3.0845610985016543e+08 3.0845116351150143e+08 3.0844072314623564e+08 3.0842350959666437e+08 3.0839839259188211e+08 3.0836428893714184e+08 3.0831979044544411e+08 3.0826323169102943e+08 3.0819273870497286e+08 3.0810612848187256e+08 3.0800078602392799e+08 3.0787362254826802e+08 3.0772086748754174e+08 3.0753693292867088e+08 3.0731213071903545e+08 3.0703788145114976e+08 3.0671017015659553e+08 3.0632204206561112e+08 3.0586344264333802e+08 3.0532242804876113e+08 3.0468507587224722e+08 3.0393523106013262e+08 3.0305419425711083e+08 3.0202039712216210e+08 3.0080908038972914e+08 2.9939200832594818e+08 2.9773719838411015e+08 2.9580880149473614e+08 2.9356714498868310e+08 2.9096911814218748e+08 2.8796893276239437e+08 2.8424337826668018e+08 2.7994232231453884e+08 2.7501479338597000e+08 2.6942199458796555e+08 2.6314493756015632e+08 2.5619277270498899e+08 2.4861046532238159e+08 2.4048384393795964e+08 2.3194009075487939e+08 2.2314045612607211e+08 2.1426701646095994e+08 2.0551048398491207e+08 1.9705251747834504e+08 1.8903540568686339e+08 1.8156167991837275e+08 1.7469533965400273e+08 1.6845902155069748e+08 1.6284632834625065e+08 1.5782778384479240e+08 1.5336697342022911e+08 1.4941594545556405e+08 1.4593284646539849e+08 1.4287027375143376e+08 1.4019379061073789e+08 1.3786403193543327e+08 1.3584689856556422e+08 1.3411603705291925e+08 1.3264127429786833e+08 1.3139321728607737e+08 1.3035091578730896e+08 1.2948670664101762e+08 1.2878191108614855e+08 1.2821402254745840e+08 1.2776446172856835e+08 1.2740713667705466e+08 1.2711619540266101e+08 1.2687343143038154e+08 1.2666094139937793e+08 1.2646018252147540e+08 1.2631803506253265e+08 1.2617447940193415e+08 1.2602799090958117e+08 1.2587455447738296e+08 1.2571626776377493e+08 1.2554849061634947e+08 1.2537732250092614e+08 1.2518682982142302e+08 1.2498296321242738e+08 1.2476197156315902e+08 1.2452092573359372e+08 1.2425626630962940e+08 1.2396398354072289e+08 1.2363822609821869e+08 1.2328014938011239e+08 1.2287552280959781e+08 1.2242186770053403e+08 1.2191260177164690e+08 1.2134064141180071e+08 1.2069868161537135e+08 1.1997939512589464e+08 1.1917459127473210e+08 1.1828584441066775e+08 1.1729692466504730e+08 1.1621151876921125e+08 1.1503213745253937e+08 1.1376803119362776e+08 1.1243493907301906e+08 1.1106281872380160e+08 1.0969616902608004e+08 1.0840844861730301e+08 1.0729082878400448e+08 1.0648735664938585e+08 1.0619823548260069e+08 1.0671470232246912e+08 1.0846029277069196e+08 1.1207684115923767e+08 1.1858033179034582e+08 1.2968354429091059e+08 3.0722384155404322e+07 +8.6504834944981397e+00 3.0820909011879742e+08 3.0817895745085251e+08 3.0812809159982586e+08 3.0806136206846994e+08 3.0799442908416724e+08 3.0795179658903664e+08 3.0794441435756600e+08 3.0795370806688720e+08 3.0796058023684102e+08 3.0796069886848056e+08 3.0795569408456135e+08 3.0794519020966566e+08 3.0792790774851960e+08 3.0790271538023287e+08 3.0786852838074201e+08 3.0782393701267409e+08 3.0776727391848671e+08 3.0769666260688776e+08 3.0760991710122323e+08 3.0750441903024477e+08 3.0737707572351754e+08 3.0722411227267212e+08 3.0703993614336205e+08 3.0681485155695635e+08 3.0654026357241416e+08 3.0621214779061151e+08 3.0582354743507123e+08 3.0536440181647646e+08 3.0482275804608929e+08 3.0418468397884971e+08 3.0343401486297518e+08 3.0255204232482135e+08 3.0151719054656291e+08 3.0030469552881485e+08 2.9888632114204794e+08 2.9723009097026157e+08 2.9530017131534576e+08 2.9305691752339584e+08 2.9045726345041978e+08 2.8745548651112086e+08 2.8372836619507241e+08 2.7942604167858660e+08 2.7449773363438308e+08 2.6890487680111754e+08 2.6262874405311379e+08 2.5567875689760891e+08 2.4810013134547544e+08 2.3997888797481519e+08 2.3144230212654909e+08 2.2265158970903504e+08 2.1378865472607923e+08 2.0504389694127032e+08 1.9659855762937996e+08 1.8859449427254105e+08 1.8113382256630948e+08 1.7428017730402052e+08 1.6805592372359300e+08 1.6245448109880403e+08 1.5744627739744893e+08 1.5299485263471007e+08 1.4905227185237023e+08 1.4557670858570588e+08 1.4252082316541368e+08 1.3985022325677007e+08 1.3752561293358362e+08 1.3551295661751837e+08 1.3378594957093799e+08 1.3231448243322103e+08 1.3106922559701419e+08 1.3002927248393427e+08 1.2916702283861765e+08 1.2846383645129238e+08 1.2789725644972026e+08 1.2744874244143270e+08 1.2709225990318489e+08 1.2680201500971369e+08 1.2655983936151126e+08 1.2634786885217789e+08 1.2614760403148045e+08 1.2600580743510188e+08 1.2586260644975261e+08 1.2571648002350441e+08 1.2556342288438712e+08 1.2540552746991239e+08 1.2523816533174813e+08 1.2506741962596753e+08 1.2487739785715395e+08 1.2467403521541467e+08 1.2445358986161482e+08 1.2421313989586610e+08 1.2394913470204526e+08 1.2365757444067085e+08 1.2333262248983498e+08 1.2297543018131258e+08 1.2257180380399580e+08 1.2211927007397014e+08 1.2161126297937201e+08 1.2104071641837470e+08 1.2040034344130826e+08 1.1968283490315577e+08 1.1888002061558926e+08 1.1799346987186074e+08 1.1700699454754789e+08 1.1592427156321163e+08 1.1474780544254732e+08 1.1348682379920994e+08 1.1215702681047136e+08 1.1078829806165539e+08 1.0942502665845592e+08 1.0814048859660764e+08 1.0702563130447638e+08 1.0622414521253161e+08 1.0593573894522417e+08 1.0645092925597534e+08 1.0819220496807025e+08 1.1179981406126687e+08 1.1828722988911839e+08 1.2936299702175176e+08 3.0622830824699234e+07 +8.6554518172723984e+00 3.0771354180086499e+08 3.0768345564343119e+08 3.0763266818436015e+08 3.0756603850083148e+08 3.0749919918026447e+08 3.0745661335598522e+08 3.0744921334624511e+08 3.0745845535152841e+08 3.0746527181572837e+08 3.0746533582733846e+08 3.0746027283454978e+08 3.0744970573615766e+08 3.0743235470759869e+08 3.0740708738683641e+08 3.0737281753370881e+08 3.0732813387316608e+08 3.0727136713223112e+08 3.0720063831786907e+08 3.0711375850450957e+08 3.0700810597507232e+08 3.0688058420315111e+08 3.0672741397765678e+08 3.0654299819174427e+08 3.0631763352426195e+08 3.0604270960748982e+08 3.0571419267219228e+08 3.0532512398533857e+08 3.0486543678845817e+08 3.0432316925292671e+08 3.0368437962386566e+08 3.0293289359369463e+08 3.0204999392823780e+08 3.0101409751134825e+08 2.9980043580198950e+08 2.9838077248473525e+08 2.9672313749506080e+08 2.9479171273292917e+08 2.9254688178144771e+08 2.8994562327776182e+08 2.8694228040765345e+08 2.8321362507352096e+08 2.7891006616520405e+08 2.7398101634819639e+08 2.6838814154679283e+08 2.6211297512880620e+08 2.5516520864573929e+08 2.4759030746453285e+08 2.3947448265287185e+08 2.3094510107489458e+08 2.2216334272905865e+08 2.1331093810210279e+08 2.0457797393829411e+08 1.9614527406961238e+08 1.8815426526598436e+08 1.8070664856080061e+08 1.7386569522673753e+08 1.6765350024890983e+08 1.6206330048471528e+08 1.5706542890485087e+08 1.5262338082195857e+08 1.4868923836254874e+08 1.4522120239164105e+08 1.4217199641735381e+08 1.3950727259696156e+08 1.3718780420344913e+08 1.3517961923297176e+08 1.3345646165554108e+08 1.3198828579134972e+08 1.3074582537327118e+08 1.2970821743738416e+08 1.2884792454759684e+08 1.2814634501308694e+08 1.2758107160319297e+08 1.2713360279222745e+08 1.2677796141506869e+08 1.2648841173271735e+08 1.2624682338422516e+08 1.2603537146935990e+08 1.2583559980848563e+08 1.2569415343249571e+08 1.2555130647151922e+08 1.2540554144636296e+08 1.2525286290339112e+08 1.2509535806877871e+08 1.2492841017612660e+08 1.2475808610698439e+08 1.2456853438342147e+08 1.2436567478267378e+08 1.2414577472047333e+08 1.2390591952366117e+08 1.2364256735772216e+08 1.2335172827615692e+08 1.2302758033577244e+08 1.2267127081514713e+08 1.2226864279333548e+08 1.2181722838176239e+08 1.2131047780848530e+08 1.2074134244861935e+08 1.2010255337538028e+08 1.1938681952189100e+08 1.1858599114138742e+08 1.1770163248610598e+08 1.1671759709211186e+08 1.1563755208990619e+08 1.1446399580917171e+08 1.1320613304054239e+08 1.1187962512976520e+08 1.1051428175010476e+08 1.0915438243341239e+08 1.0787302087463495e+08 1.0676092104812077e+08 1.0596141734997493e+08 1.0567372466740786e+08 1.0618764079400843e+08 1.0792460969728783e+08 1.1152329591867481e+08 1.1799466647472438e+08 1.2904303866636617e+08 3.0523570014041483e+07 +8.6604201400466572e+00 3.0721804392261839e+08 3.0718800549844384e+08 3.0713729561233115e+08 3.0707076557232773e+08 3.0700402001286334e+08 3.0696148097310901e+08 3.0695406327751517e+08 3.0696325371501833e+08 3.0697001463439077e+08 3.0697002422016990e+08 3.0696490325476801e+08 3.0695427321868986e+08 3.0693685396607465e+08 3.0691151210391992e+08 3.0687715988695151e+08 3.0683238451665038e+08 3.0677551482110214e+08 3.0670466932480693e+08 3.0661765617647135e+08 3.0651185034098619e+08 3.0638415146737778e+08 3.0623077607892394e+08 3.0604612254591596e+08 3.0582048008818805e+08 3.0554522301823151e+08 3.0521630825562871e+08 3.0482677516221976e+08 3.0436655099463689e+08 3.0382366509290677e+08 3.0318416621737880e+08 3.0243187064499164e+08 3.0154805244057828e+08 3.0051112136508971e+08 2.9929630452982080e+08 2.9787536564204144e+08 2.9621634120831877e+08 2.9428342895165980e+08 2.9203704091251463e+08 2.8943420071026218e+08 2.8642931746336812e+08 2.8269915781958574e+08 2.7839439858091891e+08 2.7346464420446694e+08 2.6787179135337377e+08 2.6159763314590204e+08 2.5465213011949265e+08 2.4708099564310771e+08 2.3897062971595529e+08 2.3044848911624715e+08 2.2167571647497368e+08 2.1283386765826625e+08 2.0411271583930075e+08 1.9569266747733647e+08 1.8771471918398622e+08 1.8028015828238803e+08 1.7345189369005957e+08 1.6725175130282485e+08 1.6167278660655132e+08 1.5668523841117117e+08 1.5225255797980899e+08 1.4832684494678876e+08 1.4486632781384155e+08 1.4182379341402897e+08 1.3916493851799083e+08 1.3685060561589247e+08 1.3484688626950872e+08 1.3312757315342988e+08 1.3166268421034718e+08 1.3042301644589248e+08 1.2938775047332560e+08 1.2852941158955808e+08 1.2782943658996752e+08 1.2726546782413319e+08 1.2681904259601587e+08 1.2646424102713402e+08 1.2617538538574405e+08 1.2593438331240940e+08 1.2572344906500782e+08 1.2552416966711541e+08 1.2538307286934718e+08 1.2524057928213905e+08 1.2509517499322553e+08 1.2494287434943670e+08 1.2478575937591387e+08 1.2461922496513388e+08 1.2444932175998001e+08 1.2426023921650222e+08 1.2405788173098704e+08 1.2383852595677467e+08 1.2359926443417963e+08 1.2333656409432778e+08 1.2304644486535889e+08 1.2272309945462331e+08 1.2236767110077100e+08 1.2196603959703170e+08 1.2151574244409600e+08 1.2101024608001140e+08 1.2044251932441723e+08 1.1980531124043538e+08 1.1909134880589446e+08 1.1829250267709906e+08 1.1741033207996720e+08 1.1642873212636518e+08 1.1535136017876649e+08 1.1418070838364264e+08 1.1292595875083353e+08 1.1160273386584722e+08 1.1024076962600282e+08 1.0888423619017705e+08 1.0760604529242103e+08 1.0649669785744208e+08 1.0569917290523337e+08 1.0541219249325997e+08 1.0592483677998114e+08 1.0765750679910854e+08 1.1124728656700149e+08 1.1770264137314881e+08 1.2872366903434478e+08 3.0424601004442003e+07 +8.6653884628209159e+00 3.0672260055037427e+08 3.0669260965156347e+08 3.0664197716654509e+08 3.0657554667761707e+08 3.0650889504373533e+08 3.0646640291688997e+08 3.0645896763148159e+08 3.0646810663625622e+08 3.0647481217222726e+08 3.0647476752606589e+08 3.0646958882424182e+08 3.0645889613594395e+08 3.0644140900189078e+08 3.0641599300822192e+08 3.0638155891682529e+08 3.0633669241886508e+08 3.0627972045898712e+08 3.0620875909978706e+08 3.0612161358758360e+08 3.0601565559593982e+08 3.0588778098116267e+08 3.0573420203850091e+08 3.0554931266414726e+08 3.0532339470202750e+08 3.0504780725146633e+08 3.0471849798070538e+08 3.0432850439657456e+08 3.0386774785603452e+08 3.0332424897502303e+08 3.0268404715368670e+08 3.0193094939445364e+08 3.0104622121974802e+08 3.0000826544250882e+08 2.9879230501943070e+08 2.9737010388781679e+08 2.9570970534487367e+08 2.9377532316057283e+08 2.9152739805145478e+08 2.8892299881962144e+08 2.8591660067450923e+08 2.8218496733544719e+08 2.7787904171683532e+08 2.7294861986532748e+08 2.6735582873390561e+08 2.6108272044899276e+08 2.5413952347423196e+08 2.4657219783065799e+08 2.3846733089406547e+08 2.2995246775402832e+08 2.2118871222311428e+08 2.1235744445103350e+08 2.0364812349676082e+08 1.9524073852079916e+08 1.8727585653433794e+08 1.7985435210263413e+08 1.7303877295348278e+08 1.6685067705373582e+08 1.6128293956022877e+08 1.5630570595433900e+08 1.5188238409974900e+08 1.4796509155948645e+08 1.4451208477731538e+08 1.4147621405628449e+08 1.3882322090143687e+08 1.3651401703635660e+08 1.3451475757943201e+08 1.3279928390637842e+08 1.3133767752310635e+08 1.3010079864101498e+08 1.2906787141247000e+08 1.2821148378100151e+08 1.2751311099561365e+08 1.2695044492417140e+08 1.2650506166312617e+08 1.2615109854898258e+08 1.2586293577806824e+08 1.2562251895549384e+08 1.2541210144888291e+08 1.2521331341695368e+08 1.2507256555563939e+08 1.2493042469180652e+08 1.2478538047439986e+08 1.2463345703340365e+08 1.2447673120220542e+08 1.2431060950991203e+08 1.2414112639638138e+08 1.2395251216810459e+08 1.2375065587229459e+08 1.2353184338275419e+08 1.2329317444007605e+08 1.2303112472491178e+08 1.2274172402167606e+08 1.2241917966039203e+08 1.2206463085252647e+08 1.2166399403036539e+08 1.2121481207706812e+08 1.2071056761059058e+08 1.2014424686330277e+08 1.1950861685496964e+08 1.1879642257484359e+08 1.1799955504355100e+08 1.1711956847547072e+08 1.1614039947415745e+08 1.1506569565494353e+08 1.1389794299284688e+08 1.1264630075888419e+08 1.1132635284954523e+08 1.0996776152236861e+08 1.0861458776350243e+08 1.0733956168674117e+08 1.0623296157114898e+08 1.0543741171813290e+08 1.0515114226296912e+08 1.0566251705328980e+08 1.0739089611046004e+08 1.1097178583751215e+08 1.1741115440609124e+08 1.2840488793061209e+08 3.0325923077995546e+07 +8.6703567855951746e+00 3.0622721507840532e+08 3.0619727044725233e+08 3.0614671641271472e+08 3.0608038532119519e+08 3.0601382773128206e+08 3.0597138264828175e+08 3.0596392987387401e+08 3.0597301758022434e+08 3.0597966789360535e+08 3.0597956920972669e+08 3.0597433300724190e+08 3.0596357795156515e+08 3.0594602327868128e+08 3.0592053356272817e+08 3.0588601808486754e+08 3.0584106104022616e+08 3.0578398750511998e+08 3.0571291110089207e+08 3.0562563419385362e+08 3.0551952519347262e+08 3.0539147619530469e+08 3.0523769530348569e+08 3.0505257198906577e+08 3.0482638080386746e+08 3.0455046573918360e+08 3.0422076527224952e+08 3.0383031510541272e+08 3.0336903077902085e+08 3.0282492429358572e+08 3.0218402581291372e+08 3.0143013320558876e+08 3.0054450360887158e+08 2.9950553306325573e+08 2.9828844056241107e+08 2.9686499048094946e+08 2.9520323312445605e+08 2.9326739853330016e+08 2.9101795631802791e+08 2.8841202066146141e+08 2.8540413302286166e+08 2.8167105650798535e+08 2.7736399834931648e+08 2.7243294597822165e+08 2.6684025618707281e+08 2.6056823936719054e+08 2.5362739085085139e+08 2.4606391596242109e+08 2.3796458790341571e+08 2.2945703847825113e+08 2.2070233123722669e+08 2.1188166952605623e+08 2.0318419775196135e+08 1.9478948785760978e+08 1.8683767781528676e+08 1.7942923038451526e+08 1.7262633326816353e+08 1.6645027766263065e+08 1.6089375943436730e+08 1.5592683156523404e+08 1.5151285916712472e+08 1.4760397814957935e+08 1.4415847320129910e+08 1.4112925823964047e+08 1.3848211962314966e+08 1.3617803832506499e+08 1.3418323301010846e+08 1.3247159375119518e+08 1.3101326555808373e+08 1.2977917177995685e+08 1.2874858007080293e+08 1.2789414093388972e+08 1.2719736803896113e+08 1.2663600271027708e+08 1.2619165979915817e+08 1.2583853378566369e+08 1.2555106271462850e+08 1.2531123011834832e+08 1.2510132842568025e+08 1.2490303086333872e+08 1.2476263129684786e+08 1.2462084250616947e+08 1.2447615769579791e+08 1.2432461076129387e+08 1.2416827335405827e+08 1.2400256361719446e+08 1.2383349982303892e+08 1.2364535304540090e+08 1.2344399701387933e+08 1.2322572680617408e+08 1.2298764934956095e+08 1.2272624905800992e+08 1.2243756555434676e+08 1.2211582076263984e+08 1.2176214988059290e+08 1.2136250590406096e+08 1.2091443709185921e+08 1.2041144221247806e+08 1.1984652487835661e+08 1.1921247003294513e+08 1.1850204064372763e+08 1.1770714805709308e+08 1.1682934149025279e+08 1.1585259895460151e+08 1.1478055833941877e+08 1.1361569945980240e+08 1.1236715888940403e+08 1.1105048190778981e+08 1.0969525726809156e+08 1.0834543698452531e+08 1.0707356989059889e+08 1.0596971202377176e+08 1.0517613362473005e+08 1.0489057381306022e+08 1.0540068144963627e+08 1.0712477746423210e+08 1.1069679355780467e+08 1.1712020539077224e+08 1.2808669515537277e+08 3.0227535517882880e+07 +8.6753251083694334e+00 3.0573189112993723e+08 3.0570199176111758e+08 3.0565151654747570e+08 3.0558528515811396e+08 3.0551882153358215e+08 3.0547642361416203e+08 3.0546895345585787e+08 3.0547798999725515e+08 3.0548458524858618e+08 3.0548443272132111e+08 3.0547913925365323e+08 3.0546832211544734e+08 3.0545070024521202e+08 3.0542513721553880e+08 3.0539054083908564e+08 3.0534549382690740e+08 3.0528831940454876e+08 3.0521712877122581e+08 3.0512972143644994e+08 3.0502346257271367e+08 3.0489524054588830e+08 3.0474125930673367e+08 3.0455590394960940e+08 3.0432944181728250e+08 3.0405320189956564e+08 3.0372311354119158e+08 3.0333221068986034e+08 3.0287040315530765e+08 3.0232569442806160e+08 3.0168410556013978e+08 3.0092942542666095e+08 3.0004290293637162e+08 2.9900292753221625e+08 2.9778471443604350e+08 2.9636002866535777e+08 2.9469692775223875e+08 2.9275965822907192e+08 2.9050871881725717e+08 2.8790126927708822e+08 2.8489191747494465e+08 2.8115742820944029e+08 2.7684927123945427e+08 2.7191762517523038e+08 2.6632507619635609e+08 2.6005419221570998e+08 2.5311573437586930e+08 2.4555615195943400e+08 2.3746240244678453e+08 2.2896220276606497e+08 2.2021657476904798e+08 2.1140654391671205e+08 2.0272093943568701e+08 1.9433891613593102e+08 1.8640018351519471e+08 1.7900479348222157e+08 1.7221457487754455e+08 1.6605055328309295e+08 1.6050524631042936e+08 1.5554861526822871e+08 1.5114398316058937e+08 1.4724350465928048e+08 1.4380549299912512e+08 1.4078292585370898e+08 1.3814163455396253e+08 1.3584266933688229e+08 1.3385231240371998e+08 1.3214450251948231e+08 1.3068944813820252e+08 1.2945813567918432e+08 1.2842987625942002e+08 1.2757738285541797e+08 1.2688220752423535e+08 1.2632214098473422e+08 1.2587883680530304e+08 1.2552654653763543e+08 1.2523976599556449e+08 1.2500051660127653e+08 1.2479112979603028e+08 1.2459332180691983e+08 1.2445326989380728e+08 1.2431183252637090e+08 1.2416750645884259e+08 1.2401633533474927e+08 1.2386038563331838e+08 1.2369508708899832e+08 1.2352644184221622e+08 1.2333876165098754e+08 1.2313790495895632e+08 1.2292017603044665e+08 1.2268268896637696e+08 1.2242193689786677e+08 1.2213396926778370e+08 1.2181302256650211e+08 1.2146022799064489e+08 1.2106157502432571e+08 1.2061461729562581e+08 1.2011286969338733e+08 1.1954935317829624e+08 1.1891687058418435e+08 1.1820820282364883e+08 1.1741528153006096e+08 1.1653965093801214e+08 1.1556533038289271e+08 1.1449594804910694e+08 1.1333397760284074e+08 1.1208853296315436e+08 1.1077512086319701e+08 1.0942325668809158e+08 1.0807678368038048e+08 1.0680806973312278e+08 1.0570694904631181e+08 1.0491533845697236e+08 1.0463048697603132e+08 1.0513932980079195e+08 1.0685915068949121e+08 1.1042230955113645e+08 1.1682979414036284e+08 1.2776909050420032e+08 3.0129437608372852e+07 +8.6802934311436921e+00 3.0523663230842680e+08 3.0520677889032775e+08 3.0515638156385642e+08 3.0509024977948225e+08 3.0502387990910125e+08 3.0498152924750221e+08 3.0497404181460005e+08 3.0498302732312244e+08 3.0498956767330927e+08 3.0498936149628925e+08 3.0498401099906129e+08 3.0497313206233615e+08 3.0495544333575320e+08 3.0492980740075600e+08 3.0489513061179876e+08 3.0484999421098167e+08 3.0479271958767158e+08 3.0472141553980589e+08 3.0463387874224257e+08 3.0452747115769291e+08 3.0439907745421630e+08 3.0424489746640116e+08 3.0405931196015376e+08 3.0383258115185243e+08 3.0355601913552785e+08 3.0322554618299341e+08 3.0283419453788823e+08 3.0237186836179960e+08 3.0182656274370676e+08 3.0118428974658221e+08 3.0042882939150548e+08 2.9954142251625085e+08 2.9850045213942510e+08 2.9728112990208113e+08 2.9585522167028832e+08 2.9419079241820127e+08 2.9225210539194238e+08 2.8999968863900793e+08 2.8739074769261175e+08 2.8437995698163146e+08 2.8064408529657805e+08 2.7633486313392460e+08 2.7140266007330161e+08 2.6581029123031935e+08 2.5954058129406035e+08 2.5260455616183102e+08 2.4504890772893846e+08 2.3696077621334392e+08 2.2846796208136600e+08 2.1973144405736756e+08 2.1093206864533240e+08 2.0225834936761189e+08 1.9388902399335632e+08 1.8596337411360803e+08 1.7858104174134386e+08 1.7180349801681334e+08 1.6565150406093258e+08 1.6011740026288515e+08 1.5517105708114439e+08 1.5077575605289713e+08 1.4688367102531809e+08 1.4345314407837877e+08 1.4043721678296104e+08 1.3780176555905193e+08 1.3550790992169446e+08 1.3352199559735741e+08 1.3181801003794795e+08 1.3036622508203581e+08 1.2913769015045559e+08 1.2811175978483605e+08 1.2726120934810677e+08 1.2656762925116546e+08 1.2600885954528147e+08 1.2556659247810322e+08 1.2521513660073246e+08 1.2492904541648792e+08 1.2469037819982357e+08 1.2448150535578769e+08 1.2428418604383998e+08 1.2414448114288844e+08 1.2400339454879950e+08 1.2385942656029563e+08 1.2370863055073777e+08 1.2355306783717170e+08 1.2338817972292390e+08 1.2321995225181429e+08 1.2303273778297928e+08 1.2283237950587794e+08 1.2261519085438304e+08 1.2237829308972786e+08 1.2211818804410723e+08 1.2183093496221977e+08 1.2151078487273346e+08 1.2115886498399304e+08 1.2076120119310950e+08 1.2031535249096406e+08 1.1981484985672821e+08 1.1925273156741349e+08 1.1862181831403019e+08 1.1791490892101324e+08 1.1712395527010556e+08 1.1625049662791942e+08 1.1527859356983361e+08 1.1421186459640275e+08 1.1305277723672023e+08 1.1181042279651371e+08 1.1050026953448242e+08 1.0915175960329793e+08 1.0780862767416552e+08 1.0654306103955202e+08 1.0544467246574716e+08 1.0465502604339033e+08 1.0437088158071205e+08 1.0487846193463396e+08 1.0659401561133823e+08 1.1014833363660073e+08 1.1653992046358852e+08 1.2745207376791473e+08 3.0031628634824444e+07 +8.6852617539179509e+00 3.0474144092626286e+08 3.0471163460358536e+08 3.0466131493826312e+08 3.0459528254856139e+08 3.0452900631053370e+08 3.0448670296832263e+08 3.0447919837225860e+08 3.0448813297949243e+08 3.0449461858903897e+08 3.0449435895616382e+08 3.0448895166411936e+08 3.0447801121301788e+08 3.0446025597067946e+08 3.0443454753728807e+08 3.0439979082186741e+08 3.0435456560951775e+08 3.0429719147050971e+08 3.0422577482090521e+08 3.0413810952360326e+08 3.0403155435898083e+08 3.0390299032798749e+08 3.0374861318614674e+08 3.0356279942010248e+08 3.0333580220180762e+08 3.0305892083577365e+08 3.0272806657921028e+08 3.0233627002207631e+08 3.0187342976130736e+08 3.0132753259105664e+08 3.0068458170819718e+08 2.9992834841945690e+08 2.9904006564760059e+08 2.9799811016038048e+08 2.9677769020805448e+08 2.9535057270990586e+08 2.9368483029801977e+08 2.9174474315124190e+08 2.8949086885820639e+08 2.8688045891926140e+08 2.8386825448011190e+08 2.8013103061180037e+08 2.7582077676378489e+08 2.7088805327508527e+08 2.6529590374305323e+08 2.5902740888836968e+08 2.5209385830618125e+08 2.4454218516407350e+08 2.3645971087881535e+08 2.2797431787560308e+08 2.1924694032955682e+08 2.1045824472203165e+08 2.0179642835646185e+08 1.9343981205735677e+08 1.8552725008036068e+08 1.7815797549875569e+08 1.7139310291311488e+08 1.6525313013464102e+08 1.5973022135918051e+08 1.5479415701493329e+08 1.5040817781011805e+08 1.4652447717813614e+08 1.4310142634093192e+08 1.4009213090601259e+08 1.3746251249841246e+08 1.3517375992406708e+08 1.3319228242310394e+08 1.3149211612860821e+08 1.3004359620315009e+08 1.2881783500064541e+08 1.2779423044885653e+08 1.2694562020979168e+08 1.2625363301488872e+08 1.2569615818506071e+08 1.2525492660936958e+08 1.2490430376625939e+08 1.2461890076865499e+08 1.2438081470524924e+08 1.2417245489620799e+08 1.2397562336567557e+08 1.2383626483595990e+08 1.2369552836574540e+08 1.2355191779235828e+08 1.2340149620185712e+08 1.2324631975851524e+08 1.2308184131203899e+08 1.2291403084521794e+08 1.2272728123522925e+08 1.2252742044875261e+08 1.2231077107235239e+08 1.2207446151438512e+08 1.2181500229194291e+08 1.2152846243336761e+08 1.2120910747743474e+08 1.2085806065725239e+08 1.2046138420795564e+08 1.2001664247613403e+08 1.1951738250170508e+08 1.1895665984578073e+08 1.1832731302354620e+08 1.1762215873810211e+08 1.1683316908092111e+08 1.1596187836509132e+08 1.1499238832206807e+08 1.1392830779000241e+08 1.1277209817178045e+08 1.1153282820220350e+08 1.1022592773652950e+08 1.0888076583072658e+08 1.0754096878505938e+08 1.0627854363116817e+08 1.0518288210522237e+08 1.0439519620837620e+08 1.0411175745212431e+08 1.0461807767533107e+08 1.0632937205093782e+08 1.0987486562975837e+08 1.1625058416512784e+08 1.2713564473289636e+08 2.9934107883688726e+07 +8.6902300766922096e+00 3.0424631917903352e+08 3.0421656090659082e+08 3.0416631922951329e+08 3.0410038671920192e+08 3.0403420417853171e+08 3.0399194818381763e+08 3.0398442653692490e+08 3.0399331037344515e+08 3.0399974140221238e+08 3.0399942850783128e+08 3.0399396465552652e+08 3.0398296297350478e+08 3.0396514155524492e+08 3.0393936103045005e+08 3.0390452487276822e+08 3.0385921142565811e+08 3.0380173845484179e+08 3.0373021001445049e+08 3.0364241717844802e+08 3.0353571557169640e+08 3.0340698255939317e+08 3.0325240985531330e+08 3.0306636971467233e+08 3.0283910834794915e+08 3.0256191037448072e+08 3.0223067809691793e+08 3.0183844050049329e+08 3.0137509070178193e+08 3.0082860730560952e+08 3.0018498476635045e+08 2.9942798581500077e+08 2.9853883561478555e+08 2.9749590485600072e+08 2.9627439858701825e+08 2.9484608498395187e+08 2.9317904455194801e+08 2.9123757462124527e+08 2.8898226253503156e+08 2.8637040595350522e+08 2.8335681289110482e+08 2.7961826698212010e+08 2.7530701484533733e+08 2.7037380736790586e+08 2.6478191617356345e+08 2.5851467726921123e+08 2.5158364289257637e+08 2.4403598614401191e+08 2.3595920810514134e+08 2.2748127158686414e+08 2.1876306479985654e+08 2.0998507314576581e+08 2.0133517720039654e+08 1.9299128094594845e+08 1.8509181187638861e+08 1.7773559508261639e+08 1.7098338978561255e+08 1.6485543163498604e+08 1.5934370965981549e+08 1.5441791507404122e+08 1.5004124839242354e+08 1.4616592304251981e+08 1.4275033968320453e+08 1.3974766809631217e+08 1.3712387522673327e+08 1.3484021918363878e+08 1.3286317270799600e+08 1.3116682060813047e+08 1.2972156131011699e+08 1.2849857003195888e+08 1.2747728804846577e+08 1.2663061523367488e+08 1.2594021860558687e+08 1.2538403669275668e+08 1.2494383898670152e+08 1.2459404782105927e+08 1.2430933183848935e+08 1.2407182590420797e+08 1.2386397820427378e+08 1.2366763355958450e+08 1.2352862076021163e+08 1.2338823376470731e+08 1.2324497994302343e+08 1.2309493207617085e+08 1.2294014118567216e+08 1.2277607164499569e+08 1.2260867741135626e+08 1.2242239179687411e+08 1.2222302757706736e+08 1.2200691647439770e+08 1.2177119403074238e+08 1.2151237943215685e+08 1.2122655147238177e+08 1.2090799017255501e+08 1.2055781480302498e+08 1.2016212386191593e+08 1.1971848704492722e+08 1.1922046742299718e+08 1.1866113780911018e+08 1.1803335450964139e+08 1.1732995207298198e+08 1.1654292276182178e+08 1.1567379595035470e+08 1.1470671444223067e+08 1.1364527743413515e+08 1.1249194021437334e+08 1.1125574898857392e+08 1.0995209527980818e+08 1.0861027518332832e+08 1.0727380682849066e+08 1.0601451732548811e+08 1.0492157778417432e+08 1.0413584877262343e+08 1.0385311441139163e+08 1.0435817684334867e+08 1.0606521982583515e+08 1.0960190534176227e+08 1.1596178504542544e+08 1.2681980318070741e+08 2.9836874642510857e+07 +8.6951983994664683e+00 3.0375127308031809e+08 3.0372156160700464e+08 3.0367139862569666e+08 3.0360556559411830e+08 3.0353947693486118e+08 3.0349726828718984e+08 3.0348972970186353e+08 3.0349856289788687e+08 3.0350493950558901e+08 3.0350457354356295e+08 3.0349905336573112e+08 3.0348799073553622e+08 3.0347010348079580e+08 3.0344425127023095e+08 3.0340933615452164e+08 3.0336393504750365e+08 3.0330636392730886e+08 3.0323472450570899e+08 3.0314680509030920e+08 3.0303995817694652e+08 3.0291105752702367e+08 3.0275629084860253e+08 3.0257002621462172e+08 3.0234250295557445e+08 3.0206499111128676e+08 3.0173338408838105e+08 3.0134070931716341e+08 3.0087685451673257e+08 3.0032979020899743e+08 2.9968550222819299e+08 2.9892774486794317e+08 2.9803773568794936e+08 2.9699383947229695e+08 2.9577125825659060e+08 2.9434176167750376e+08 2.9267343832571042e+08 2.9073060290201807e+08 2.8847387271475351e+08 2.8586059177686918e+08 2.8284563512202036e+08 2.7910579721973681e+08 2.7479358007996482e+08 2.6985992492452735e+08 2.6426833094628349e+08 2.5800238869310662e+08 2.5107391199026182e+08 2.4353031253431350e+08 2.3545926954137322e+08 2.2698882464056680e+08 2.1827981867075956e+08 2.0951255490410697e+08 2.0087459668673652e+08 1.9254343126627052e+08 1.8465705995306554e+08 1.7731390081272718e+08 1.7057435884551060e+08 1.6445840868571046e+08 1.5895786521838945e+08 1.5404233125664502e+08 1.4967496775351587e+08 1.4580800853697988e+08 1.4239988399552038e+08 1.3940382822168764e+08 1.3678585359328288e+08 1.3450728753446826e+08 1.3253466627411334e+08 1.3084212328879869e+08 1.2940012020700471e+08 1.2817989504182771e+08 1.2716093237614411e+08 1.2631619420846654e+08 1.2562738580931325e+08 1.2507249485209668e+08 1.2463332939287452e+08 1.2428436854743759e+08 1.2400033840832241e+08 1.2376341157889220e+08 1.2355607506233113e+08 1.2336021640825774e+08 1.2322154869875546e+08 1.2308151052879356e+08 1.2293861279551055e+08 1.2278893795741588e+08 1.2263453190264241e+08 1.2247087050611369e+08 1.2230389173480982e+08 1.2211806925268172e+08 1.2191920067610827e+08 1.2170362684601180e+08 1.2146849042481779e+08 1.2121031925119708e+08 1.2092520186647382e+08 1.2060743274550453e+08 1.2025812720946266e+08 1.1986341994383426e+08 1.1942088598709172e+08 1.1892410441115899e+08 1.1836616524897444e+08 1.1773994256481682e+08 1.1703828871939674e+08 1.1625321610814565e+08 1.1538624918046345e+08 1.1442157172867568e+08 1.1336277332909192e+08 1.1221230316688314e+08 1.1097918496011868e+08 1.0967877197125784e+08 1.0834028747031210e+08 1.0700714161594497e+08 1.0575098193619192e+08 1.0466075931814405e+08 1.0387698355315632e+08 1.0359495227604896e+08 1.0409875925499718e+08 1.0580155874962001e+08 1.0932945258008029e+08 1.1567352290053797e+08 1.2650454888857147e+08 2.9739928199932143e+07 +8.7001667222407271e+00 3.0325630547155517e+08 3.0322663950096029e+08 3.0317655600276607e+08 3.0311082254383636e+08 3.0304482797560006e+08 3.0300266665895873e+08 3.0299511124608964e+08 3.0300389393121475e+08 3.0301021627728289e+08 3.0300979744114506e+08 3.0300422117190176e+08 3.0299309787658882e+08 3.0297514512404335e+08 3.0294922163311279e+08 3.0291422804195040e+08 3.0286873984975511e+08 3.0281107126099557e+08 3.0273932166591787e+08 3.0265127662815046e+08 3.0254428554150718e+08 3.0241521859458822e+08 3.0226025952677757e+08 3.0207377227614057e+08 3.0184598937621450e+08 3.0156816639138752e+08 3.0123618789134723e+08 3.0084307980110395e+08 3.0037872452488077e+08 2.9983108460796124e+08 2.9918613738606256e+08 2.9842762885393137e+08 2.9753676912212074e+08 2.9649191724093938e+08 2.9526827242059243e+08 2.9383760596036953e+08 2.9216801475048876e+08 2.9022383107770628e+08 2.8796570242792732e+08 2.8535101935550827e+08 2.8233472406389433e+08 2.7859362412207842e+08 2.7428047515451169e+08 2.6934640850270516e+08 2.6375515047137231e+08 2.5749054540204033e+08 2.5056466765421826e+08 2.4302516618625039e+08 2.3495989682260424e+08 2.2649697844920081e+08 2.1779720313237667e+08 2.0904069097266170e+08 2.0041468759242895e+08 1.9209626361636645e+08 1.8422299475251603e+08 1.7689289300020641e+08 1.7016601029594368e+08 1.6406206140289262e+08 1.5857268808152407e+08 1.5366740555409470e+08 1.4930933584131294e+08 1.4545073357463649e+08 1.4205005916294160e+08 1.3906061114446008e+08 1.3644844744241434e+08 1.3417496480600253e+08 1.3220676293856014e+08 1.3051802397768432e+08 1.2907927269289881e+08 1.2786180982316899e+08 1.2684516321966220e+08 1.2600235691824186e+08 1.2531513440746233e+08 1.2476153244291957e+08 1.2432339760627900e+08 1.2397526572322625e+08 1.2369192025571318e+08 1.2345557150705066e+08 1.2324874524826470e+08 1.2305337168987094e+08 1.2291504842998859e+08 1.2277535843673934e+08 1.2263281612906715e+08 1.2248351362478155e+08 1.2232949168892919e+08 1.2216623767519228e+08 1.2199967359555501e+08 1.2181431338323002e+08 1.2161593952665000e+08 1.2140090196843773e+08 1.2116635047821140e+08 1.2090882153125355e+08 1.2062441339803070e+08 1.2030743497966336e+08 1.1995899766022819e+08 1.1956527223824237e+08 1.1912383908780575e+08 1.1862829325229001e+08 1.1807174195237900e+08 1.1744707697736825e+08 1.1674716846701987e+08 1.1596404891075608e+08 1.1509923784788840e+08 1.1413695997570536e+08 1.1308079527101730e+08 1.1193318682741506e+08 1.1070313591733730e+08 1.0940595761371264e+08 1.0807080249681906e+08 1.0674097295491365e+08 1.0548793727313231e+08 1.0440042651890929e+08 1.0361860036323850e+08 1.0333727085989027e+08 1.0383982472339445e+08 1.0553838863202806e+08 1.0905750714825176e+08 1.1538579752253963e+08 1.2618988162894313e+08 2.9643267845691830e+07 +8.7051350450149858e+00 3.0276141982373232e+08 3.0273180004434311e+08 3.0268179425003600e+08 3.0261616096376145e+08 3.0255026066654599e+08 3.0250814666550440e+08 3.0250057453333652e+08 3.0250930683760393e+08 3.0251557508103067e+08 3.0251510356503493e+08 3.0250947143798763e+08 3.0249828775924605e+08 3.0248026984704947e+08 3.0245427548042381e+08 3.0241920389621043e+08 3.0237362919144297e+08 3.0231586381418967e+08 3.0224400485170656e+08 3.0215583514669925e+08 3.0204870101802975e+08 3.0191946911127174e+08 3.0176431923544431e+08 3.0157761124149108e+08 3.0134957094652164e+08 3.0107143954582947e+08 3.0073909282961541e+08 3.0034555526724142e+08 2.9988070403101802e+08 2.9933249379489326e+08 2.9868689351788986e+08 2.9792764103378618e+08 2.9703593915788114e+08 2.9599014137839311e+08 2.9476544426748657e+08 2.9333362098863977e+08 2.9166277694244033e+08 2.8971726221898776e+08 2.8745775469012499e+08 2.8484169164181042e+08 2.8182408259397286e+08 2.7808175047155237e+08 2.7376770274071598e+08 2.6883326064559132e+08 2.6324237714333132e+08 2.5697914962337783e+08 2.5005591192548233e+08 2.4252054893730685e+08 2.3446109157080573e+08 2.2600573441258520e+08 2.1731521936287534e+08 2.0856948231619591e+08 1.9995545068318653e+08 1.9164977858393854e+08 1.8378961670807725e+08 1.7647257194775134e+08 1.6975834433270368e+08 1.6366638989537185e+08 1.5818817828887898e+08 1.5329313795138171e+08 1.4894435259722939e+08 1.4509409806223109e+08 1.4170086506476009e+08 1.3871801672178313e+08 1.3611165661301282e+08 1.3384325082235654e+08 1.3187946251358204e+08 1.3019452247717285e+08 1.2875901856228295e+08 1.2754431416399898e+08 1.2652998036217874e+08 1.2568910314234169e+08 1.2500346417671245e+08 1.2445114924002324e+08 1.2401404340088598e+08 1.2366673912174526e+08 1.2338407715389386e+08 1.2314830546206571e+08 1.2294198853565247e+08 1.2274709917841029e+08 1.2260911972795467e+08 1.2246977726297055e+08 1.2232758971801656e+08 1.2217865885324785e+08 1.2202502031967482e+08 1.2186217292763163e+08 1.2169602276940612e+08 1.2151112396459903e+08 1.2131324390516171e+08 1.2109874161849029e+08 1.2086477396813680e+08 1.2060788604999906e+08 1.2032418584547442e+08 1.2000799665373948e+08 1.1966042593489888e+08 1.1926768052528192e+08 1.1882734612816221e+08 1.1833303372843707e+08 1.1777786770241274e+08 1.1715475753148937e+08 1.1645659110120690e+08 1.1567542095660862e+08 1.1481276174106197e+08 1.1385287897346757e+08 1.1279934305220391e+08 1.1165459099038732e+08 1.1042760165671927e+08 1.0913365200601844e+08 1.0780182006424169e+08 1.0647530064928523e+08 1.0522538314241922e+08 1.0414057919469778e+08 1.0336069901233748e+08 1.0308006997293685e+08 1.0358137305770306e+08 1.0527570927904689e+08 1.0878606884557422e+08 1.1509860869938274e+08 1.2587580116976009e+08 2.9546892870629087e+07 +8.7101033677892445e+00 3.0226661869719362e+08 3.0223704541979796e+08 3.0218711775423157e+08 3.0212158425195205e+08 3.0205577834094888e+08 3.0201371165848345e+08 3.0200612291332722e+08 3.0201480496704930e+08 3.0202101926593381e+08 3.0202049526398593e+08 3.0201480751274115e+08 3.0200356373242790e+08 3.0198548099818206e+08 3.0195941615986794e+08 3.0192426706347275e+08 3.0187860641824120e+08 3.0182074493056554e+08 3.0174877740543181e+08 3.0166048398639882e+08 3.0155320794363987e+08 3.0142381241236997e+08 3.0126847330630165e+08 3.0108154643755251e+08 3.0085325098920316e+08 3.0057481389061284e+08 3.0024210221181160e+08 2.9984813901569778e+08 2.9938279632491422e+08 2.9883402104735583e+08 2.9818777388697767e+08 2.9742778465355372e+08 2.9653524902157736e+08 2.9548851508733124e+08 2.9426277697135365e+08 2.9282980990250313e+08 2.9115772800345558e+08 2.8921089938105607e+08 2.8695003250238287e+08 2.8433261157197309e+08 2.8131371357435459e+08 2.7757017903582501e+08 2.7325526549560666e+08 2.6832048388172370e+08 2.6273001334336412e+08 2.5646820357022375e+08 2.4954764683069354e+08 2.4201646261176643e+08 2.3396285539499134e+08 2.2551509391793025e+08 2.1683386852851114e+08 2.0809892988802195e+08 1.9949688671447361e+08 1.9120397674687654e+08 1.8335692624347165e+08 1.7605293794960833e+08 1.6935136114308450e+08 1.6327139426462901e+08 1.5780433587345257e+08 1.5291952842698884e+08 1.4858001795684624e+08 1.4473810190119597e+08 1.4135230157473710e+08 1.3837604480535716e+08 1.3577548093878123e+08 1.3351214540287849e+08 1.3155276480637069e+08 1.2987161858486675e+08 1.2843935760490401e+08 1.2722740784783177e+08 1.2621538358238335e+08 1.2537643265584601e+08 1.2469237488957049e+08 1.2414134501418546e+08 1.2370526654629351e+08 1.2335878851207431e+08 1.2307680887177053e+08 1.2284161321285903e+08 1.2263580469372799e+08 1.2244139864317951e+08 1.2230376236242178e+08 1.2216476677739072e+08 1.2202293333271417e+08 1.2187437341319481e+08 1.2172111756572735e+08 1.2155867603462738e+08 1.2139293902773240e+08 1.2120850076844856e+08 1.2101111358375081e+08 1.2079714556876454e+08 1.2056376066776076e+08 1.2030751258084138e+08 1.2002451898266850e+08 1.1970911754242201e+08 1.1936241180865461e+08 1.1897064458101822e+08 1.1853140688490380e+08 1.1803832561718346e+08 1.1748454227786283e+08 1.1686298400706093e+08 1.1616655640319271e+08 1.1538733202834946e+08 1.1452682064440885e+08 1.1356932850811237e+08 1.1251841646067256e+08 1.1137651544590990e+08 1.1015258197088036e+08 1.0886185494309300e+08 1.0753333997013479e+08 1.0621012449914357e+08 1.0496331934640524e+08 1.0388121714984652e+08 1.0310327930636130e+08 1.0282334942158632e+08 1.0332340406316447e+08 1.0501352049307549e+08 1.0851513746786465e+08 1.1481195621498926e+08 1.2556230727484988e+08 2.9450802566684902e+07 +8.7150716905635033e+00 3.0177190495250279e+08 3.0174238093188184e+08 3.0169252986239988e+08 3.0162709582956696e+08 3.0156138430357456e+08 3.0151936497447765e+08 3.0151175972115213e+08 3.0152039165481526e+08 3.0152655216764230e+08 3.0152597587327778e+08 3.0152023273088330e+08 3.0150892913045400e+08 3.0149078191118091e+08 3.0146464700406092e+08 3.0142942087603337e+08 3.0138367486084080e+08 3.0132571793988681e+08 3.0125364265498674e+08 3.0116522647310871e+08 3.0105780964241713e+08 3.0092825181853688e+08 3.0077272505664361e+08 3.0058558117776483e+08 3.0035703281234246e+08 3.0007829272790372e+08 2.9974521933306122e+08 2.9935083433261698e+08 2.9888500468231779e+08 2.9833566962895632e+08 2.9768878174206573e+08 2.9692806294531161e+08 2.9603470192499644e+08 2.9498704155540544e+08 2.9376027369192159e+08 2.9232617582855386e+08 2.9065287102010638e+08 2.8870474560445267e+08 2.8644253885085160e+08 2.8382378206885880e+08 2.8080361985222560e+08 2.7705891256795841e+08 2.7274316606140709e+08 2.6780808072461998e+08 2.6221806143710971e+08 2.5595770944124210e+08 2.4903987438252217e+08 2.4151290901950011e+08 2.3346518989034316e+08 2.2502505833918834e+08 2.1635315178293502e+08 2.0762903462968203e+08 1.9903899643111703e+08 1.9075885867364883e+08 1.8292492377374572e+08 1.7563399129161185e+08 1.6894506090696350e+08 1.6287707460502958e+08 1.5742116086129737e+08 1.5254657695312580e+08 1.4821633184935355e+08 1.4438274498678833e+08 1.4100436856124476e+08 1.3803469524148172e+08 1.3543992024841529e+08 1.3318164836153771e+08 1.3122666961929469e+08 1.2954931209349209e+08 1.2812028960571967e+08 1.2691109065355152e+08 1.2590137265433778e+08 1.2506434522921698e+08 1.2438186631370284e+08 1.2383211953137572e+08 1.2339706680747618e+08 1.2305141365867479e+08 1.2277011517372166e+08 1.2253549452387629e+08 1.2233019348717496e+08 1.2213626984933798e+08 1.2199897609864382e+08 1.2186032674555874e+08 1.2171884673907657e+08 1.2157065707082938e+08 1.2141778319342151e+08 1.2125574676297395e+08 1.2109042213762279e+08 1.2090644356230584e+08 1.2070954833022296e+08 1.2049611358735462e+08 1.2026331034549613e+08 1.2000770089310306e+08 1.1972541257945678e+08 1.1941079741599080e+08 1.1906495505255322e+08 1.1867416417704648e+08 1.1823602113068594e+08 1.1774416869221139e+08 1.1719176545328306e+08 1.1657175617985183e+08 1.1587706415016925e+08 1.1509978190477376e+08 1.1424141433809961e+08 1.1328630836187495e+08 1.1223801528050116e+08 1.1109895998038390e+08 1.0987807664837661e+08 1.0859056621618827e+08 1.0726536200816530e+08 1.0594544430065103e+08 1.0470174568359540e+08 1.0362234018499929e+08 1.0284634104749918e+08 1.0256710900854212e+08 1.0306591754162452e+08 1.0475182207246545e+08 1.0824471280686478e+08 1.1452583984886156e+08 1.2524939970304824e+08 2.9354996226903897e+07 +8.7200400133377620e+00 3.0127728301652038e+08 3.0124780587617844e+08 3.0119803332851863e+08 3.0113269907755280e+08 3.0106708183881080e+08 3.0102510993584931e+08 3.0101748827702212e+08 3.0102607022195578e+08 3.0103217710660589e+08 3.0103154871319020e+08 3.0102575041292977e+08 3.0101438727309686e+08 3.0099617590541226e+08 3.0096997133216316e+08 3.0093466865165454e+08 3.0088883783619380e+08 3.0083078615760505e+08 3.0075860391416979e+08 3.0067006591833276e+08 3.0056250942366481e+08 3.0043279063591170e+08 3.0027707778931898e+08 3.0008971876079601e+08 2.9986091970957363e+08 2.9958187934547460e+08 2.9924844747337884e+08 2.9885364448951042e+08 2.9838733236440766e+08 2.9783744278844941e+08 2.9718992031817871e+08 2.9642847912627023e+08 2.9553430106468135e+08 2.9448572395541751e+08 2.9325793757398027e+08 2.9182272187854183e+08 2.9014820906497037e+08 2.8819880391538495e+08 2.8593527670698130e+08 2.8331520603979743e+08 2.8029380426011693e+08 2.7654795380587631e+08 2.7223140706558615e+08 2.6729605367326742e+08 2.6170652377595448e+08 2.5544766942102954e+08 2.4853259657934588e+08 2.4100988995707834e+08 2.3296809663920298e+08 2.2453562903837463e+08 2.1587307026841810e+08 2.0715979747228554e+08 1.9858178056786719e+08 1.9031442492242387e+08 1.8249360970467845e+08 1.7521573225114927e+08 1.6853944379651663e+08 1.6248343100362432e+08 1.5703865327192640e+08 1.5217428349562430e+08 1.4785329419829082e+08 1.4402802720874184e+08 1.4065706588676625e+08 1.3769396787127081e+08 1.3510497436538535e+08 1.3285175950759163e+08 1.3090117674993476e+08 1.2922760279115501e+08 1.2780181434525025e+08 1.2659536235548145e+08 1.2558794734755450e+08 1.2475284062845387e+08 1.2407193821269754e+08 1.2352347255347495e+08 1.2308944394513755e+08 1.2274461432180575e+08 1.2246399581982706e+08 1.2222994915544119e+08 1.2202515467650791e+08 1.2183171255766200e+08 1.2169476069769791e+08 1.2155645692878616e+08 1.2141532969856115e+08 1.2126750958797419e+08 1.2111501696508509e+08 1.2095338487504093e+08 1.2078847186197232e+08 1.2060495210928819e+08 1.2040854790815286e+08 1.2019564543839708e+08 1.1996342276601249e+08 1.1970845075156026e+08 1.1942686640125515e+08 1.1911303604060715e+08 1.1876805543326202e+08 1.1837823908101237e+08 1.1794118863392131e+08 1.1745056272273454e+08 1.1689953699898966e+08 1.1628107382160480e+08 1.1558811411502266e+08 1.1481277036015224e+08 1.1395654259833832e+08 1.1300381831254674e+08 1.1195813929195105e+08 1.1082192437611541e+08 1.0960408547412039e+08 1.0831978561251144e+08 1.0699788596806709e+08 1.0568125984619312e+08 1.0444066194902998e+08 1.0336394809717731e+08 1.0258988403418900e+08 1.0231134853286976e+08 1.0280891329123604e+08 1.0449061381208721e+08 1.0797479465054570e+08 1.1424025937679851e+08 1.2493707820910060e+08 2.9259473145436116e+07 +8.7250083361120208e+00 3.0078275598113889e+08 3.0075332523223585e+08 3.0070363181496817e+08 3.0063839725721556e+08 3.0057287422205955e+08 3.0053094984973466e+08 3.0052331188715738e+08 3.0053184397549301e+08 3.0053789738941139e+08 3.0053721709082556e+08 3.0053136386502147e+08 3.0051994146611553e+08 3.0050166628585237e+08 3.0047539244832206e+08 3.0044001369349897e+08 3.0039409864669007e+08 3.0033595288468003e+08 3.0026366448211116e+08 3.0017500561972582e+08 3.0006731058177966e+08 2.9993743215667599e+08 2.9978153479265767e+08 2.9959396247131354e+08 2.9936491496025938e+08 2.9908557701635444e+08 2.9875178989859623e+08 2.9835657274331641e+08 2.9788978261792541e+08 2.9733934376047349e+08 2.9669119283472908e+08 2.9592903639940631e+08 2.9503404962393820e+08 2.9398456544659346e+08 2.9275577174820298e+08 2.9131945114927447e+08 2.8964374519577980e+08 2.8769307732475054e+08 2.8542824902763832e+08 2.8280688637732124e+08 2.7978426961601478e+08 2.7603730547335881e+08 2.7171999112128949e+08 2.6678440521227646e+08 2.6119540269712907e+08 2.5493808567917874e+08 2.4802581540593809e+08 2.4050740720735809e+08 2.3247157721055907e+08 2.2404680736478201e+08 2.1539362511494800e+08 2.0669121933474615e+08 1.9812523984793729e+08 1.8987067604175124e+08 1.8206298443320501e+08 1.7479816109743547e+08 1.6813450997588888e+08 1.6209046354014254e+08 1.5665681311776173e+08 1.5180264801387310e+08 1.4749090492098254e+08 1.4367394845093486e+08 1.4031039340883118e+08 1.3735386253050959e+08 1.3477064310798475e+08 1.3252247864528872e+08 1.3057628599113181e+08 1.2890649046111870e+08 1.2748393159920090e+08 1.2628022272329824e+08 1.2527510742701164e+08 1.2444191861508331e+08 1.2376259034564918e+08 1.2321540383773133e+08 1.2278239771570776e+08 1.2243839025734475e+08 1.2215845056591862e+08 1.2192497686343972e+08 1.2172068801777765e+08 1.2152772652450931e+08 1.2139111591631280e+08 1.2125315708409415e+08 1.2111238196844429e+08 1.2096493072219555e+08 1.2081281863839425e+08 1.2065159012915263e+08 1.2048708795910627e+08 1.2030402616824910e+08 1.2010811207682984e+08 1.1989574088148217e+08 1.1966409768927237e+08 1.1940976191694482e+08 1.1912888020924763e+08 1.1881583317802015e+08 1.1847171271340744e+08 1.1808286905618508e+08 1.1764690915861674e+08 1.1715750747398411e+08 1.1660785668150719e+08 1.1599093669979088e+08 1.1529970606677419e+08 1.1452629716519922e+08 1.1367220519736622e+08 1.1272185813444273e+08 1.1167878827098124e+08 1.1054540841161062e+08 1.0933060822881745e+08 1.0804951291556725e+08 1.0673091163611256e+08 1.0541757092460535e+08 1.0418006793374936e+08 1.0310604067966710e+08 1.0233390806133328e+08 1.0205606779001258e+08 1.0255239110635047e+08 1.0422989550299534e+08 1.0770538278312841e+08 1.1395521457046986e+08 1.2462534254303491e+08 2.9164232617538985e+07 +8.7299766588862795e+00 3.0028832851887912e+08 3.0025894306265318e+08 3.0020932809166485e+08 3.0014419353082305e+08 3.0007876472866142e+08 3.0003688800866228e+08 3.0002923384275961e+08 3.0003771620754802e+08 3.0004371630829209e+08 3.0004298429798079e+08 3.0003707637886274e+08 3.0002559500099665e+08 3.0000725634347713e+08 2.9998091364269131e+08 2.9994545929137754e+08 2.9989946058016366e+08 2.9984122140772057e+08 2.9976882764388937e+08 2.9968004886003602e+08 2.9957221639797032e+08 2.9944217965838343e+08 2.9928609934133601e+08 2.9909831557912302e+08 2.9886902182952678e+08 2.9858938899940342e+08 2.9825524986042166e+08 2.9785962233727682e+08 2.9739235867539352e+08 2.9684137576520014e+08 2.9619260249778575e+08 2.9542973795308119e+08 2.9453395077038854e+08 2.9348356917294186e+08 2.9225377933020681e+08 2.9081636672318405e+08 2.8913948245546186e+08 2.8718756882997584e+08 2.8492145875488967e+08 2.8229882595982814e+08 2.7927501872319120e+08 2.7552697027892840e+08 2.7120892082658368e+08 2.6627313781143782e+08 2.6068470052296171e+08 2.5442896037188265e+08 2.4751953283273706e+08 2.4000546253951696e+08 2.3197563316051608e+08 2.2355859465472475e+08 2.1491481744058767e+08 2.0622330112571093e+08 1.9766937498539695e+08 1.8942761257102540e+08 1.8163304834731975e+08 1.7438127809140223e+08 1.6773025960157242e+08 1.6169817228733006e+08 1.5627564040491831e+08 1.5143167046097964e+08 1.4712916392872748e+08 1.4332050859166563e+08 1.3996435097898015e+08 1.3701437904969752e+08 1.3443692628970048e+08 1.3219380557401425e+08 1.3025199713068213e+08 1.2858597488206404e+08 1.2716664113862857e+08 1.2596567152228788e+08 1.2496285265351120e+08 1.2413157894623107e+08 1.2345382246698108e+08 1.2290791313716613e+08 1.2247592787123244e+08 1.2213274121675690e+08 1.2185347916340388e+08 1.2162057739938909e+08 1.2141679326290709e+08 1.2122431150218469e+08 1.2108804150694215e+08 1.2095042696416833e+08 1.2081000330188093e+08 1.2066292022680242e+08 1.2051118796708342e+08 1.2035036227911203e+08 1.2018627018348363e+08 1.2000366549390781e+08 1.1980824059120193e+08 1.1959639967203106e+08 1.1936533487133956e+08 1.1911163414578982e+08 1.1883145376059113e+08 1.1851918858607371e+08 1.1817592665128776e+08 1.1778805386172929e+08 1.1735318246502586e+08 1.1686500270704578e+08 1.1631672426280591e+08 1.1570134457779233e+08 1.1501183977025776e+08 1.1424036208622000e+08 1.1338840190326397e+08 1.1244042759760275e+08 1.1139996198995990e+08 1.1026941186130950e+08 1.0905764468956552e+08 1.0777974790499611e+08 1.0646443879456866e+08 1.0515437732092141e+08 1.0391996342540240e+08 1.0284861772233658e+08 1.0207841292032628e+08 1.0180126657189475e+08 1.0229635077797803e+08 1.0396966693272240e+08 1.0743647698481640e+08 1.1367070519734332e+08 1.2431419245092554e+08 2.9069273939578898e+07 +8.7349449816605382e+00 2.9979400119670820e+08 2.9976466240258974e+08 2.9971512586817992e+08 2.9965009106566936e+08 2.9958475663513166e+08 2.9954292769107795e+08 2.9953525742159712e+08 2.9954369019667202e+08 2.9954963714162070e+08 2.9954885361233699e+08 2.9954289123229206e+08 2.9953135115506250e+08 2.9951294935457093e+08 2.9948653819103605e+08 2.9945100871990210e+08 2.9940492691074407e+08 2.9934659499931902e+08 2.9927409667041826e+08 2.9918519890801209e+08 2.9907723013815039e+08 2.9894703640493941e+08 2.9879077469492477e+08 2.9860278134004611e+08 2.9837324356822944e+08 2.9809331853947538e+08 2.9775883059592712e+08 2.9736279649930811e+08 2.9689506375463289e+08 2.9634354200848824e+08 2.9569415249830306e+08 2.9493058696150351e+08 2.9403400765807158e+08 2.9298273826391017e+08 2.9175196342147326e+08 2.9031347166869414e+08 2.8863542387269205e+08 2.8668228141260529e+08 2.8441490881643206e+08 2.8179102765054810e+08 2.7876605436991745e+08 2.7501695091661048e+08 2.7069819876489395e+08 2.6576225392620736e+08 2.6017441956164664e+08 2.5392029564066884e+08 2.4701375081649363e+08 2.3950405770943692e+08 2.3148026603190514e+08 2.2307099223241541e+08 2.1443664835208607e+08 2.0575604374204591e+08 1.9721418668316013e+08 1.8898523503944600e+08 1.8120380182598314e+08 1.7396508348569247e+08 1.6732669282291317e+08 1.6130655731080347e+08 1.5589513513252321e+08 1.5106135078379694e+08 1.4676807112690958e+08 1.4296770750370952e+08 1.3961893844379231e+08 1.3667551725419185e+08 1.3410382371879365e+08 1.3186574008805852e+08 1.2992830995172775e+08 1.2826605582798462e+08 1.2684994273021896e+08 1.2565170851314922e+08 1.2465118278294735e+08 1.2382182137456892e+08 1.2314563432716206e+08 1.2260100020049496e+08 1.2217003415930679e+08 1.2182766694739202e+08 1.2154908135948433e+08 1.2131675051061963e+08 1.2111347015946224e+08 1.2092146723852833e+08 1.2078553721770795e+08 1.2064826631742965e+08 1.2050819344738719e+08 1.2036147785099530e+08 1.2021012470051287e+08 1.2004970107479306e+08 1.1988601828500360e+08 1.1970386983655721e+08 1.1950893320215048e+08 1.1929762156145452e+08 1.1906713406387980e+08 1.1881406719026451e+08 1.1853458680810025e+08 1.1822310201808658e+08 1.1788069700119823e+08 1.1749379325282772e+08 1.1706000830897710e+08 1.1657304817884058e+08 1.1602613950112405e+08 1.1541229721503191e+08 1.1472451498622239e+08 1.1395496488562889e+08 1.1310513248025757e+08 1.1215952646808150e+08 1.1112166021717308e+08 1.0999393449595875e+08 1.0878519462957732e+08 1.0751049035652770e+08 1.0619846722200365e+08 1.0489167881635717e+08 1.0366034820776862e+08 1.0259167901110081e+08 1.0182339839883365e+08 1.0154694466676994e+08 1.0204079209321848e+08 1.0370992788495767e+08 1.0716807703228299e+08 1.1338673102106035e+08 1.2400362767407107e+08 2.8974596409033038e+07 +8.7399133044347970e+00 2.9929977774152917e+08 2.9927048803189069e+08 2.9922102816583747e+08 2.9915609315277195e+08 2.9909085321495730e+08 2.9904907216038293e+08 2.9904138588675278e+08 2.9904976920646793e+08 2.9905566315305579e+08 2.9905482829823291e+08 2.9904881168847162e+08 2.9903721319086450e+08 2.9901874858206791e+08 2.9899226935534960e+08 2.9895666523976767e+08 2.9891050089790708e+08 2.9885207691782176e+08 2.9877947481829953e+08 2.9869045901854366e+08 2.9858235505468750e+08 2.9845200564492697e+08 2.9829556409941417e+08 2.9810736299573529e+08 2.9787758341293418e+08 2.9759736886679721e+08 2.9726253532814056e+08 2.9686609844378638e+08 2.9639790105971915e+08 2.9584584568136311e+08 2.9519584601310134e+08 2.9443158658408248e+08 2.9353422342601228e+08 2.9248207583519804e+08 2.9125032710878915e+08 2.8981076903867137e+08 2.8813157246135503e+08 2.8617721804038531e+08 2.8390860212492913e+08 2.8128349429851002e+08 2.7825737933027375e+08 2.7450725006633073e+08 2.7018782750567394e+08 2.6525175599715814e+08 2.5966456210673094e+08 2.5341209361304459e+08 2.4650847130006158e+08 2.3900319445901725e+08 2.3098547735445336e+08 2.2258400140934861e+08 2.1395911894374841e+08 2.0528944806998008e+08 1.9675967563405648e+08 1.8854354396685895e+08 1.8077524523908982e+08 1.7354957752436841e+08 1.6692380978094304e+08 1.6091561866894221e+08 1.5551529729316315e+08 1.5069168892290029e+08 1.4640762641515943e+08 1.4261554505373406e+08 1.3927415564422959e+08 1.3633727696420082e+08 1.3377133519846818e+08 1.3153828197712319e+08 1.2960522423268978e+08 1.2794673306823200e+08 1.2653383613594538e+08 1.2533833345204116e+08 1.2434009756705695e+08 1.2351264564859259e+08 1.2283802567201303e+08 1.2229466477202596e+08 1.2186471632336652e+08 1.2152316719210835e+08 1.2124525689695695e+08 1.2101349594027926e+08 1.2081071845071653e+08 1.2061919347726196e+08 1.2048360279253142e+08 1.2034667488816877e+08 1.2020695214958501e+08 1.2006060333946408e+08 1.1990962858388366e+08 1.1974960626158127e+08 1.1958633200951163e+08 1.1940463894247538e+08 1.1921018965630805e+08 1.1899940629674508e+08 1.1876949501470080e+08 1.1851706079856212e+08 1.1823827910047171e+08 1.1792757322369872e+08 1.1758602351311280e+08 1.1720008698012763e+08 1.1676738644235325e+08 1.1628164364230138e+08 1.1573610215035744e+08 1.1512379436685979e+08 1.1443773147156633e+08 1.1367010532187858e+08 1.1282239668850528e+08 1.1187915450827259e+08 1.1084388271718641e+08 1.0971897608243608e+08 1.0851325781818767e+08 1.0724174004239069e+08 1.0593299669330731e+08 1.0462947518868199e+08 1.0340122206120610e+08 1.0233522432859652e+08 1.0156886428088199e+08 1.0129310185940024e+08 1.0178571483586213e+08 1.0345067813990182e+08 1.0690018269824356e+08 1.1310329180129209e+08 1.2369364794959863e+08 2.8880199324491154e+07 +8.7448816272090557e+00 2.9880566418128455e+08 2.9877642017687178e+08 2.9872703836101395e+08 2.9866220318611664e+08 2.9859705773182935e+08 2.9855532466643023e+08 2.9854762248739254e+08 2.9855595648678643e+08 2.9856179759229338e+08 2.9856091160469097e+08 2.9855484099685436e+08 2.9854318435761821e+08 2.9852465727387416e+08 2.9849811038292855e+08 2.9846243209792554e+08 2.9841618578711981e+08 2.9835767040685290e+08 2.9828496533009034e+08 2.9819583243163300e+08 2.9808759438539726e+08 2.9795709061363351e+08 2.9780047078626055e+08 2.9761206377366120e+08 2.9738204458567935e+08 2.9710154319773453e+08 2.9676636726603806e+08 2.9636953137076074e+08 2.9590087377993929e+08 2.9534828996135163e+08 2.9469768620508915e+08 2.9393273996610469e+08 2.9303460119940114e+08 2.9198158498742598e+08 2.9074887346490628e+08 2.8930826187254119e+08 2.8762793122131211e+08 2.8567238166649461e+08 2.8340254157902640e+08 2.8077622873795664e+08 2.7774899636320657e+08 2.7399787039263964e+08 2.6967780960300773e+08 2.6474164645086619e+08 2.5915513043799025e+08 2.5290435640199271e+08 2.4600369621219981e+08 2.3850287451699719e+08 2.3049126864519992e+08 2.2209762348493740e+08 2.1348223029825702e+08 2.0482351498424622e+08 1.9630584252022704e+08 1.8810253986348140e+08 1.8034737894831923e+08 1.7313476044410011e+08 1.6652161060957336e+08 1.6052535641323134e+08 1.5513612687299293e+08 1.5032268481280324e+08 1.4604782968729538e+08 1.4226402110341868e+08 1.3893000241588441e+08 1.3599965799468610e+08 1.3343946052695394e+08 1.3121143102588619e+08 1.2928273974736762e+08 1.2762800636748978e+08 1.2621832111336558e+08 1.2502554609084240e+08 1.2402959675326078e+08 1.2320405151203801e+08 1.2253099624314710e+08 1.2198890659180491e+08 1.2155997410257970e+08 1.2121924168974464e+08 1.2094200551455115e+08 1.2071081342707780e+08 1.2050853787582555e+08 1.2031748995772649e+08 1.2018223797129312e+08 1.2004565241642265e+08 1.1990627914899623e+08 1.1976029643276967e+08 1.1960969935815206e+08 1.1945007758090702e+08 1.1928721109877847e+08 1.1910597255385649e+08 1.1891200969625434e+08 1.1870175362098217e+08 1.1847241746688776e+08 1.1822061471465062e+08 1.1794253038230456e+08 1.1763260194805260e+08 1.1729190593322432e+08 1.1690693479061542e+08 1.1647531661295563e+08 1.1599078884619251e+08 1.1544661196068214e+08 1.1483583578463154e+08 1.1415148897901213e+08 1.1338578314948133e+08 1.1254019428439316e+08 1.1159931147637984e+08 1.1056662925026673e+08 1.0944453638367639e+08 1.0824183402104899e+08 1.0697349673084497e+08 1.0566802697960812e+08 1.0436776621168403e+08 1.0314258476225130e+08 1.0207925345376571e+08 1.0131481034725016e+08 1.0103973793089262e+08 1.0153111878604805e+08 1.0319191747405925e+08 1.0663279375193538e+08 1.1282038729371671e+08 1.2338425301022412e+08 2.8786081985657174e+07 +8.7498499499833144e+00 2.9831166133420128e+08 2.9828246404725045e+08 2.9823316010386491e+08 2.9816842451215482e+08 2.9810337343367791e+08 2.9806168844459051e+08 2.9805397045866704e+08 2.9806225527293485e+08 2.9806804369488978e+08 2.9806710676725185e+08 2.9806098239244926e+08 2.9804926788959479e+08 2.9803067866397649e+08 2.9800406450702310e+08 2.9796831252645385e+08 2.9792198480976373e+08 2.9786337869661987e+08 2.9779057143330264e+08 2.9770132237367296e+08 2.9759295135389066e+08 2.9746229453194368e+08 2.9730549797269469e+08 2.9711688688686627e+08 2.9688663029488939e+08 2.9660584473383528e+08 2.9627032960352737e+08 2.9587309846588904e+08 2.9540398509027743e+08 2.9485087801124281e+08 2.9419967622217041e+08 2.9343405023876894e+08 2.9253514408858281e+08 2.9148126880736047e+08 2.9024760554776961e+08 2.8880595319482166e+08 2.8712450313733357e+08 2.8516777522930259e+08 2.8289673006242359e+08 2.8026923378855348e+08 2.7724090821374935e+08 2.7348881454602051e+08 2.6916814759700638e+08 2.6423192769921300e+08 2.5864612682029337e+08 2.5239708610721868e+08 2.4549942746814668e+08 2.3800309959901661e+08 2.2999764140794194e+08 2.2161185974593696e+08 2.1300598348714870e+08 2.0435824534909883e+08 1.9585268801433456e+08 1.8766222323016801e+08 1.7992020330590811e+08 1.7272063247269878e+08 1.6612009543494883e+08 1.6013577058807713e+08 1.5475762385129485e+08 1.4995433838169694e+08 1.4568868083075160e+08 1.4191313550839859e+08 1.3858647858911553e+08 1.3566266015548101e+08 1.3310819949779536e+08 1.3088518701422130e+08 1.2896085626461953e+08 1.2730987548592453e+08 1.2590339741542295e+08 1.2471334617675111e+08 1.2371968008447146e+08 1.2289603870480424e+08 1.2222454577800417e+08 1.2168372539564444e+08 1.2125580723193212e+08 1.2091589017471960e+08 1.2063932694685218e+08 1.2040870270573869e+08 1.2020692816970930e+08 1.2001635641540202e+08 1.1988144248940991e+08 1.1974519863808277e+08 1.1960617418157902e+08 1.1946055686767283e+08 1.1931033676011962e+08 1.1915111476987596e+08 1.1898865529027806e+08 1.1880787040844421e+08 1.1861439306021068e+08 1.1840466327279241e+08 1.1817590116008371e+08 1.1792472867844221e+08 1.1764734039412850e+08 1.1733818793231544e+08 1.1699834400323793e+08 1.1661433642714375e+08 1.1618379856439781e+08 1.1570048353528132e+08 1.1515766867792857e+08 1.1454842121554394e+08 1.1386578725737430e+08 1.1310199811893547e+08 1.1225852502015774e+08 1.1131999712680630e+08 1.1028989957334501e+08 1.0917061515874594e+08 1.0797092299996400e+08 1.0670576018655077e+08 1.0540355784845991e+08 1.0410655165600891e+08 1.0288443608396223e+08 1.0182376616187015e+08 1.0106123637481909e+08 1.0078685265905230e+08 1.0127700372030397e+08 1.0293364566032839e+08 1.0636590995848443e+08 1.1253801725006869e+08 1.2307544258459714e+08 2.8692243693350933e+07 +8.7548182727575732e+00 2.9781777230236042e+08 2.9778862113572639e+08 2.9773939578528917e+08 2.9767476035163099e+08 2.9760980355086970e+08 2.9756816671579647e+08 2.9756043302219665e+08 2.9756866878618073e+08 2.9757440468219316e+08 2.9757341700692600e+08 2.9756723909600043e+08 2.9755546700725293e+08 2.9753681597216392e+08 2.9751013494689375e+08 2.9747430974375242e+08 2.9742790118247622e+08 2.9736920500291187e+08 2.9729629634264123e+08 2.9720693205634248e+08 2.9709842916992795e+08 2.9696762060622090e+08 2.9681064886199117e+08 2.9662183553412277e+08 2.9639134373392975e+08 2.9611027666276187e+08 2.9577442552127737e+08 2.9537680290012932e+08 2.9490723815209645e+08 2.9435361297935128e+08 2.9370181919843310e+08 2.9293552051858097e+08 2.9203585519027513e+08 2.9098113036680681e+08 2.8974652640120131e+08 2.8830384601564795e+08 2.8662129118006730e+08 2.8466340165293747e+08 2.8239117044465834e+08 2.7976251225579810e+08 2.7673311761214674e+08 2.7298008516218650e+08 2.6865884401301306e+08 2.6372260213975632e+08 2.5813755350463459e+08 2.5189028481339973e+08 2.4499566696923721e+08 2.3750387140661886e+08 2.2950459713387674e+08 2.2112671146692723e+08 2.1253037956922039e+08 2.0389364001753196e+08 1.9540021277796689e+08 1.8722259455787581e+08 1.7949371865573052e+08 1.7230719383016706e+08 1.6571926437602678e+08 1.5974686123101127e+08 1.5437978820113811e+08 1.4958664955156255e+08 1.4533017972787884e+08 1.4156288811891705e+08 1.3824358398892701e+08 1.3532628325139806e+08 1.3277755189923568e+08 1.3055954971723609e+08 1.2863957354887751e+08 1.2699234017904362e+08 1.2558906479060480e+08 1.2440173345274772e+08 1.2341034729917440e+08 1.2258860696221489e+08 1.2191867400965557e+08 1.2137912091518143e+08 1.2095221544202451e+08 1.2061311237737168e+08 1.2033722092407212e+08 1.2010716350668979e+08 1.1990588906308639e+08 1.1971579258121344e+08 1.1958121607831246e+08 1.1944531328474712e+08 1.1930663697934124e+08 1.1916138437625320e+08 1.1901154052242194e+08 1.1885271756163496e+08 1.1869066431734955e+08 1.1851033224012516e+08 1.1831733948249984e+08 1.1810813498703268e+08 1.1787994582945411e+08 1.1762940242564251e+08 1.1735270887235995e+08 1.1704433091367756e+08 1.1670533746115968e+08 1.1632229162825318e+08 1.1589283203644486e+08 1.1541072745039839e+08 1.1486927204407008e+08 1.1426155040314281e+08 1.1358062605164351e+08 1.1281874997689411e+08 1.1197738864437865e+08 1.1104121121027286e+08 1.1001369343920398e+08 1.0889721216324677e+08 1.0770052451297043e+08 1.0643853017044428e+08 1.0513958906371781e+08 1.0384583128820294e+08 1.0262677579577567e+08 1.0156876222488628e+08 1.0080814213730679e+08 1.0053444581798904e+08 1.0102336941176428e+08 1.0267586246824643e+08 1.0609953107983294e+08 1.1225618141831225e+08 1.2276721639683224e+08 2.8598683749509800e+07 +8.7597865955318319e+00 2.9732400135310960e+08 2.9729489610625517e+08 2.9724574927056289e+08 2.9718121385157931e+08 2.9711635129886466e+08 2.9707476268605459e+08 2.9706701338509971e+08 2.9707520023335761e+08 2.9708088376173550e+08 2.9707984553077537e+08 2.9707361431442422e+08 2.9706178491710114e+08 2.9704307240445119e+08 2.9701632490758008e+08 2.9698042695372081e+08 2.9693393810870117e+08 2.9687515252690750e+08 2.9680214325750971e+08 2.9671266467794108e+08 2.9660403102855688e+08 2.9647307202905530e+08 2.9631592664264828e+08 2.9612691290014631e+08 2.9589618808265078e+08 2.9561484215796113e+08 2.9527865818488264e+08 2.9488064783100384e+08 2.9441063611179119e+08 2.9385649800020838e+08 2.9320411825339246e+08 2.9243715390794539e+08 2.9153673758591950e+08 2.9048117272390467e+08 2.8924563905451083e+08 2.8780194333054048e+08 2.8611829830580699e+08 2.8415926384709024e+08 2.8188586558033800e+08 2.7925606692985338e+08 2.7622562727388334e+08 2.7247168486285073e+08 2.6814990136259806e+08 2.6321367215553603e+08 2.5762941272744733e+08 2.5138395459208676e+08 2.4449241660305959e+08 2.3700519162852955e+08 2.2901213730103967e+08 2.2064217991011915e+08 2.1205541959286720e+08 2.0342969983157241e+08 1.9494841746334141e+08 1.8678365432907456e+08 1.7906792533285487e+08 1.7189444472875991e+08 1.6531911754388738e+08 1.5935862837236792e+08 1.5400261988904572e+08 1.4921961823847151e+08 1.4497232625459746e+08 1.4121327877994215e+08 1.3790131843502215e+08 1.3499052708212066e+08 1.3244751751474284e+08 1.3023451890535820e+08 1.2831889135985960e+08 1.2667540019802950e+08 1.2527532298310372e+08 1.2409070765738650e+08 1.2310159813178954e+08 1.2228175601526403e+08 1.2161338066682677e+08 1.2107509287774995e+08 1.2064919845944153e+08 1.2031090802385271e+08 1.2003568717222172e+08 1.1980619555629410e+08 1.1960542028262743e+08 1.1941579818227403e+08 1.1928155846541595e+08 1.1914599608409929e+08 1.1900766727030079e+08 1.1886277868691355e+08 1.1871331037374090e+08 1.1855488568502890e+08 1.1839323790931511e+08 1.1821335777866888e+08 1.1802084869327405e+08 1.1781216849429518e+08 1.1758455120589240e+08 1.1733463568812090e+08 1.1705863554922260e+08 1.1675103062510814e+08 1.1641288604064532e+08 1.1603080012873393e+08 1.1560241676473637e+08 1.1512152032821044e+08 1.1458142179728587e+08 1.1397522308666496e+08 1.1329600510271358e+08 1.1253603846599275e+08 1.1169678490161784e+08 1.1076295347342683e+08 1.0973801059697169e+08 1.0862432714861502e+08 1.0743063831452459e+08 1.0617180643974862e+08 1.0487612038547519e+08 1.0358560487154074e+08 1.0236960366369978e+08 1.0131424141114156e+08 1.0055552740470363e+08 1.0028251717839459e+08 1.0077021563001727e+08 1.0241856766342743e+08 1.0583365687383777e+08 1.1197487954234231e+08 1.2245957416700764e+08 2.8505401457190305e+07 +8.7647549183060907e+00 2.9683035046265495e+08 2.9680129233787811e+08 2.9675222352457553e+08 2.9668778817897576e+08 2.9662301987969345e+08 2.9658147954736912e+08 2.9657371474113488e+08 2.9658185280742764e+08 2.9658748412652057e+08 2.9658639553165472e+08 2.9658011124021947e+08 2.9656822481110704e+08 2.9654945115210462e+08 2.9652263757980037e+08 2.9648666734645391e+08 2.9644009877701199e+08 2.9638122445626104e+08 2.9630811536371541e+08 2.9621852342149299e+08 2.9610976011121249e+08 2.9597865197869414e+08 2.9582133448991275e+08 2.9563212215570754e+08 2.9540116650665212e+08 2.9511954437905431e+08 2.9478303074659926e+08 2.9438463640150464e+08 2.9391418210202903e+08 2.9335953619396573e+08 2.9270657649256849e+08 2.9193895349505019e+08 2.9103779434312636e+08 2.8998139892196465e+08 2.8874494652234077e+08 2.8730024812119627e+08 2.8561552745617312e+08 2.8365536470675200e+08 2.8138081831023967e+08 2.7874990058743268e+08 2.7571843990038240e+08 2.7196361625468814e+08 2.6764132214183179e+08 2.6270514011564061e+08 2.5712170671144587e+08 2.5087809750018856e+08 2.4398967824369216e+08 2.3650706194018444e+08 2.2852026337478769e+08 2.2015826632564995e+08 2.1158110459398931e+08 2.0296642562261906e+08 1.9449730271199965e+08 1.8634540301591453e+08 1.7864282366361886e+08 1.7148238537204567e+08 1.6491965504262856e+08 1.5897107203589892e+08 1.5362611887490302e+08 1.4885324435244760e+08 1.4461512028159058e+08 1.4086430733055431e+08 1.3755968174192676e+08 1.3465539144225931e+08 1.3211809612299429e+08 1.2991009434424661e+08 1.2799880945267005e+08 1.2635905528925157e+08 1.2496217173242913e+08 1.2378026852497569e+08 1.2279343231223804e+08 1.2197548559089485e+08 1.2130866547425237e+08 1.2077164100655790e+08 1.2034675600648253e+08 1.2000927683621074e+08 1.1973472541341449e+08 1.1950579857670666e+08 1.1930552155077678e+08 1.1911637294144931e+08 1.1898246937374064e+08 1.1884724675959297e+08 1.1870926477826336e+08 1.1856473952373181e+08 1.1841564603846146e+08 1.1825761886500360e+08 1.1809637579146172e+08 1.1791694674956429e+08 1.1772492041847111e+08 1.1751676352106252e+08 1.1728971701677236e+08 1.1704042819339843e+08 1.1676512015322025e+08 1.1645828679567431e+08 1.1612098947176012e+08 1.1573986165923193e+08 1.1531255248102482e+08 1.1483286190161805e+08 1.1429411767142986e+08 1.1368943900165182e+08 1.1301192414758669e+08 1.1225386332506849e+08 1.1141671353265727e+08 1.1048522365918314e+08 1.0946285079202762e+08 1.0835195986284839e+08 1.0716126415528339e+08 1.0590558874801648e+08 1.0461315157043758e+08 1.0332587216550876e+08 1.0211291945012023e+08 1.0106020348539032e+08 1.0030339194363308e+08 1.0003106650757141e+08 1.0051754214126348e+08 1.0216176100832988e+08 1.0556828709492929e+08 1.1169411136226174e+08 1.2215251561083506e+08 2.8412396120569676e+07 +8.7697232410803494e+00 2.9633682383213520e+08 2.9630781260362357e+08 2.9625882174146092e+08 2.9619448652629620e+08 2.9612981248492557e+08 2.9608832047798252e+08 2.9608054026999903e+08 2.9608862968740541e+08 2.9609420895550454e+08 2.9609307018851888e+08 2.9608673305191636e+08 2.9607478986743736e+08 2.9605595539299655e+08 2.9602907614045292e+08 2.9599303409760123e+08 2.9594638636209655e+08 2.9588742396427912e+08 2.9581421583299792e+08 2.9572451145712900e+08 2.9561561958496267e+08 2.9548436361915249e+08 2.9532687556436074e+08 2.9513746645729452e+08 2.9490628215736318e+08 2.9462438647070861e+08 2.9428754634376872e+08 2.9388877174017805e+08 2.9341787924088514e+08 2.9286273066617244e+08 2.9220919700721836e+08 2.9144092235352492e+08 2.9053902851564085e+08 2.8948181199013728e+08 2.8824445180593622e+08 2.8679876335435599e+08 2.8511298155878603e+08 2.8315170711286086e+08 2.8087603146021879e+08 2.7824401599023414e+08 2.7521155817842990e+08 2.7145588193044221e+08 2.6713310883345208e+08 2.6219700837453735e+08 2.5661443766479525e+08 2.5037271558130050e+08 2.4348745375146884e+08 2.3600948400355104e+08 2.2802897680783039e+08 2.1967497195127511e+08 2.1110743559741765e+08 2.0250381821116462e+08 1.9404686915589547e+08 1.8590784108152315e+08 1.7821841396581498e+08 1.7107101595633435e+08 1.6452087696856418e+08 1.5858419223815238e+08 1.5325028511215991e+08 1.4848752779712769e+08 1.4425856167357108e+08 1.4051597360474271e+08 1.3721867371897969e+08 1.3432087612158698e+08 1.3178928749783872e+08 1.2958627579472776e+08 1.2767932757774809e+08 1.2604330519482780e+08 1.2464961077397925e+08 1.2347041578531955e+08 1.2248584956619607e+08 1.2166979541170147e+08 1.2100452815243398e+08 1.2046876502052675e+08 1.2004488780139682e+08 1.1970821853210616e+08 1.1943433536545251e+08 1.1920597228601843e+08 1.1900619258600280e+08 1.1881751657746989e+08 1.1868394852242900e+08 1.1854906503064838e+08 1.1841142922281983e+08 1.1826726660684545e+08 1.1811854723709264e+08 1.1796091682228801e+08 1.1780007768486904e+08 1.1762109887457263e+08 1.1742955438039622e+08 1.1722191979000098e+08 1.1699544298517181e+08 1.1674677966523056e+08 1.1647216240860288e+08 1.1616609915042679e+08 1.1582964748003870e+08 1.1544947594648744e+08 1.1502323891299440e+08 1.1454475189950615e+08 1.1400735939686698e+08 1.1340419787959845e+08 1.1272838291946720e+08 1.1197222428911580e+08 1.1113717427442358e+08 1.1020802150667244e+08 1.0918821376580235e+08 1.0808011005008763e+08 1.0689240178212665e+08 1.0563987684525381e+08 1.0435068237154070e+08 1.0306663292629109e+08 1.0185672291388389e+08 1.0080664820919190e+08 1.0005173551733464e+08 9.9780093569327489e+07 1.0026534870801288e+08 1.0190544226160800e+08 1.0530342149389803e+08 1.1141387661441679e+08 1.2184604043982282e+08 2.8319667044947542e+07 +8.7746915638546081e+00 2.9584342487117898e+08 2.9581445980210745e+08 2.9576554720210743e+08 2.9570131201581663e+08 2.9563673229251671e+08 2.9559528864079881e+08 2.9558749313745958e+08 2.9559553403774291e+08 2.9560106141416943e+08 2.9559987266607434e+08 2.9559348291413289e+08 2.9558148325032598e+08 2.9556258829045594e+08 2.9553564375219178e+08 2.9549953036942697e+08 2.9545280402475816e+08 2.9539375421029103e+08 2.9532044782289755e+08 2.9523063194005984e+08 2.9512161260287499e+08 2.9499021010084236e+08 2.9483255301221472e+08 2.9464294894707197e+08 2.9441153817186391e+08 2.9412937156440258e+08 2.9379220810017467e+08 2.9339305696183771e+08 2.9292173063267910e+08 2.9236608450914752e+08 2.9171198287425262e+08 2.9094306354349685e+08 2.9004044314251626e+08 2.8898241494353336e+08 2.8774415789138550e+08 2.8629749198311639e+08 2.8461066352641088e+08 2.8264829393187547e+08 2.8037150784181082e+08 2.7773841588556087e+08 2.7470498478033030e+08 2.7094848446791905e+08 2.6662526390512574e+08 2.6168927927253491e+08 2.5610760778185302e+08 2.4986781086447373e+08 2.4298574497299153e+08 2.3551245946722198e+08 2.2753827903992251e+08 2.1919229801271641e+08 2.1063441361643511e+08 2.0204187840696198e+08 1.9359711741628236e+08 1.8547096897994623e+08 1.7779469654858235e+08 1.7066033666948840e+08 1.6412278341079354e+08 1.5819798898912460e+08 1.5287511854819733e+08 1.4812246847035205e+08 1.4390265028934771e+08 1.4016827743085068e+08 1.3687829417029545e+08 1.3398698090451786e+08 1.3146109140819062e+08 1.2926306301316999e+08 1.2736044548107617e+08 1.2572814965237451e+08 1.2433763983848011e+08 1.2316114916387013e+08 1.2217884961519662e+08 1.2136468519614352e+08 1.2070096841743214e+08 1.2016646463470486e+08 1.1974359355829428e+08 1.1940773282547072e+08 1.1913451674218076e+08 1.1890671639815073e+08 1.1870743310257612e+08 1.1851922880506463e+08 1.1838599562653881e+08 1.1825145061253737e+08 1.1811416031967981e+08 1.1797035965215217e+08 1.1782201368594252e+08 1.1766477927370644e+08 1.1750434330670418e+08 1.1732581387108676e+08 1.1713475029678516e+08 1.1692763701953341e+08 1.1670172883003232e+08 1.1645368982327463e+08 1.1617976203570007e+08 1.1587446741052856e+08 1.1553885978769486e+08 1.1515964271337332e+08 1.1473447578445011e+08 1.1425719004682799e+08 1.1372114669968691e+08 1.1311949944837956e+08 1.1244538114775375e+08 1.1169112108928972e+08 1.1085816685999888e+08 1.0993134675125042e+08 1.0891409925615232e+08 1.0780877745090251e+08 1.0662405093844526e+08 1.0537467047778670e+08 1.0408871253828953e+08 1.0280788690634038e+08 1.0160101381044765e+08 1.0055357534033440e+08 9.9800557885459930e+07 9.9529598124088287e+07 1.0001363508960544e+08 1.0164961117881857e+08 1.0503905981778198e+08 1.1113417503133862e+08 1.2154014836149788e+08 2.8227213536747370e+07 +8.7796598866288669e+00 2.9535015652187580e+08 2.9532123810929775e+08 2.9527240333329964e+08 2.9520826767830026e+08 2.9514378246442491e+08 2.9510238718643999e+08 2.9509457649607170e+08 2.9510256900922394e+08 2.9510804465314651e+08 2.9510680611496049e+08 2.9510036397702503e+08 2.9508830810923386e+08 2.9506935299379015e+08 2.9504234356374878e+08 2.9500615930929708e+08 2.9495935491142666e+08 2.9490021833924395e+08 2.9482681447695708e+08 2.9473688801189387e+08 2.9462774230389601e+08 2.9449619455952203e+08 2.9433836996649736e+08 2.9414857275360054e+08 2.9391693767330039e+08 2.9363450277683663e+08 2.9329701912517983e+08 2.9289749516716009e+08 2.9242573936743426e+08 2.9186960079966253e+08 2.9121493715674245e+08 2.9044538010983855e+08 2.8954204124862665e+08 2.8848321078283507e+08 2.8724406775077540e+08 2.8579643694562876e+08 2.8410857625825548e+08 2.8214512801586646e+08 2.7986725025249547e+08 2.7723310300649095e+08 2.7419872236427486e+08 2.7044142643114430e+08 2.6611778981058177e+08 2.6118195513597944e+08 2.5560121924277207e+08 2.4936338536535776e+08 2.4248455374167505e+08 2.3501598996702471e+08 2.2704817149836218e+08 2.1871024572349578e+08 2.1016203965269905e+08 2.0158060700888702e+08 1.9314804810528624e+08 1.8503478715579906e+08 1.7737167171266037e+08 1.7025034769162083e+08 1.6372537445123604e+08 1.5781246229192096e+08 1.5250061912376264e+08 1.4775806626413244e+08 1.4354738598259419e+08 1.3982121863215688e+08 1.3653854289459845e+08 1.3365370557094808e+08 1.3113350761826272e+08 1.2894045575110245e+08 1.2704216290411128e+08 1.2541358839511691e+08 1.2402625865266618e+08 1.2285246838214622e+08 1.2187243217634064e+08 1.2106015465843554e+08 1.2039798598150320e+08 1.1986473955975999e+08 1.1944287298713601e+08 1.1910781942604110e+08 1.1883526925323197e+08 1.1860803062323731e+08 1.1840924281073159e+08 1.1822150933491519e+08 1.1808861039694057e+08 1.1795440321662928e+08 1.1781745778061299e+08 1.1767401837165689e+08 1.1752604509742314e+08 1.1736920593193483e+08 1.1720917237020472e+08 1.1703109145273273e+08 1.1684050788198593e+08 1.1663391492430247e+08 1.1640857426646960e+08 1.1616115838324103e+08 1.1588791875078557e+08 1.1558339129297557e+08 1.1524862611225401e+08 1.1487036167861824e+08 1.1444626281530026e+08 1.1397017606452668e+08 1.1343547930230513e+08 1.1283534343167605e+08 1.1216291855793129e+08 1.1141055345283483e+08 1.1057969101875511e+08 1.0965519912473172e+08 1.0864050699716771e+08 1.0753796180199181e+08 1.0635621136399791e+08 1.0510996938832071e+08 1.0382724181653246e+08 1.0254963385465103e+08 1.0134579189173132e+08 1.0030098463331729e+08 9.9549858804421201e+07 9.9279579928896144e+07 9.9762401041916549e+07 1.0139426751158299e+08 1.0477520181020686e+08 1.1085500634159093e+08 1.2123483907911757e+08 2.8135034903517965e+07 +8.7846282094031256e+00 2.9485702134044152e+08 2.9482814918463004e+08 2.9477939300052017e+08 2.9471535660288948e+08 2.9465096613864607e+08 2.9460961925151956e+08 2.9460179348321825e+08 2.9460973773867881e+08 2.9461516180970335e+08 2.9461387367196935e+08 2.9460737937736893e+08 2.9459526758071393e+08 2.9457625263849765e+08 2.9454917870969278e+08 2.9451292405084372e+08 2.9446604215476179e+08 2.9440681948252952e+08 2.9433331892445362e+08 2.9424328279987997e+08 2.9413401181304044e+08 2.9400232011716461e+08 2.9384432954534733e+08 2.9365434099085736e+08 2.9342248377090013e+08 2.9313978321067965e+08 2.9280198251402658e+08 2.9240208944256753e+08 2.9192990852116412e+08 2.9137328260212868e+08 2.9071806290334469e+08 2.8994787508444327e+08 2.8904382584477490e+08 2.8798420249447381e+08 2.8674418434208238e+08 2.8529560116626745e+08 2.8360672263853467e+08 2.8164221220252025e+08 2.7936326147498423e+08 2.7672808007214034e+08 2.7369277357404864e+08 2.6993471036961424e+08 2.6561068898938718e+08 2.6067503827636915e+08 2.5509527421349308e+08 2.4885944108562449e+08 2.4198388187672564e+08 2.3452007712569588e+08 2.2655865559765849e+08 2.1822881628518242e+08 2.0969031469658747e+08 2.0112000480535209e+08 1.9269966182425156e+08 1.8459929604442191e+08 1.7694933975009534e+08 1.6984104919518468e+08 1.6332865016447607e+08 1.5742761214274892e+08 1.5212678677320233e+08 1.4739432106435114e+08 1.4319276860085905e+08 1.3947479702599338e+08 1.3619941968606752e+08 1.3332104989564963e+08 1.3080653588734871e+08 1.2861845375562151e+08 1.2672447958367990e+08 1.2509962115161753e+08 1.2371546693848224e+08 1.2254437315704966e+08 1.2156659696279104e+08 1.2075620350871785e+08 1.2009558055270188e+08 1.1956358950238807e+08 1.1914272579391146e+08 1.1880847803922668e+08 1.1853659260437910e+08 1.1830991466698073e+08 1.1811162141680790e+08 1.1792435787367171e+08 1.1779179254075438e+08 1.1765792255019359e+08 1.1752132131314471e+08 1.1737824247346088e+08 1.1723064117989233e+08 1.1707419650586422e+08 1.1691456458433671e+08 1.1673693132913950e+08 1.1654682684580226e+08 1.1634075321480569e+08 1.1611597900562522e+08 1.1586918505676307e+08 1.1559663226641335e+08 1.1529287051104969e+08 1.1495894616800581e+08 1.1458163255726454e+08 1.1415859972151455e+08 1.1368370966996250e+08 1.1315035692317799e+08 1.1255172954948485e+08 1.1188099487153324e+08 1.1113052110339694e+08 1.1030174647631446e+08 1.0937957835472319e+08 1.0836743671928781e+08 1.0726766283652858e+08 1.0608888279478069e+08 1.0484577331603962e+08 1.0356626994861326e+08 1.0229187351686929e+08 1.0109105690631092e+08 1.0004887583940488e+08 9.9299638027209967e+07 9.9030038737322256e+07 9.9511646317353979e+07 1.0113941100825244e+08 1.0451184721119893e+08 1.1057637027022085e+08 1.2093011229175019e+08 2.8043130453935087e+07 +8.7895965321773843e+00 2.9436402151953089e+08 2.9433519694910079e+08 2.9428651885671026e+08 2.9422258204983813e+08 2.9415828642640096e+08 2.9411698795945698e+08 2.9410914722317624e+08 2.9411704334914052e+08 2.9412241600684440e+08 2.9412107845971525e+08 2.9411453223735988e+08 2.9410236478670770e+08 2.9408329034593982e+08 2.9405615231085694e+08 2.9401982771419638e+08 2.9397286887321019e+08 2.9391356075717729e+08 2.9383996428089833e+08 2.9374981941754049e+08 2.9364042424089670e+08 2.9350858988182741e+08 2.9335043485312849e+08 2.9316025675919056e+08 2.9292817955967724e+08 2.9264521595506704e+08 2.9230710134821993e+08 2.9190684286006975e+08 2.9143424115538037e+08 2.9087713296489453e+08 2.9022136314839363e+08 2.8945055148431015e+08 2.8854579992759931e+08 2.8748539305078053e+08 2.8624451060915226e+08 2.8479498755487627e+08 2.8310510553756422e+08 2.8113954931561029e+08 2.7885954427832282e+08 2.7622334978648627e+08 2.7318714103885978e+08 2.6942833881822002e+08 2.6510396386638206e+08 2.6016853099206179e+08 2.5458977484621936e+08 2.4835598001320440e+08 2.4148373118492749e+08 2.3402472255249771e+08 2.2606973273977533e+08 2.1774801088746333e+08 2.0921923972748825e+08 2.0066007257399568e+08 1.9225195916526955e+08 1.8416449607208443e+08 1.7652770094461253e+08 1.6943244134455943e+08 1.6293261061765054e+08 1.5704343853133804e+08 1.5175362142485857e+08 1.4703123275105712e+08 1.4283879798652506e+08 1.3912901242498171e+08 1.3586092433320361e+08 1.3298901364843322e+08 1.3048017597022812e+08 1.2829705676891235e+08 1.2640739525237049e+08 1.2478624764637944e+08 1.2340526441408131e+08 1.2223686320143214e+08 1.2126134368338914e+08 1.2045283145291461e+08 1.1979375183495709e+08 1.1926301416525936e+08 1.1884315168046317e+08 1.1850970836685355e+08 1.1823848649726576e+08 1.1801236823145817e+08 1.1781456862299646e+08 1.1762777412402020e+08 1.1749554176086931e+08 1.1736200831653546e+08 1.1722575062094422e+08 1.1708303166148996e+08 1.1693580163777879e+08 1.1677975070014100e+08 1.1662051965437116e+08 1.1644333320596163e+08 1.1625370689442474e+08 1.1604815159764715e+08 1.1582394275468297e+08 1.1557776955184686e+08 1.1530590229111098e+08 1.1500290477401884e+08 1.1466981966502389e+08 1.1429345506026292e+08 1.1387148621531466e+08 1.1339779057634842e+08 1.1286577927716632e+08 1.1226865751810908e+08 1.1159960980653127e+08 1.1085102376074807e+08 1.1002433295454799e+08 1.0910448416555221e+08 1.0809488814927727e+08 1.0699788028399527e+08 1.0582206496332628e+08 1.0458208199663979e+08 1.0330579667338347e+08 1.0203460563486990e+08 1.0083680859926112e+08 9.9797248706127822e+07 9.9049895303408444e+07 9.8780974299753696e+07 9.9261370664991155e+07 1.0088504141401641e+08 1.0424899575725776e+08 1.1029826653828141e+08 1.2062596769446233e+08 2.7951499497802820e+07 +8.7945648549516431e+00 2.9387116220428854e+08 2.9384238457594013e+08 2.9379378456838989e+08 2.9372994731531000e+08 2.9366574641513973e+08 2.9362449642049968e+08 2.9361664082637262e+08 2.9362448894913614e+08 2.9362981035331875e+08 2.9362842358698916e+08 2.9362182566551065e+08 2.9360960283497554e+08 2.9359046922366226e+08 2.9356326747379041e+08 2.9352687340492982e+08 2.9347983817169935e+08 2.9342044526637381e+08 2.9334675364768863e+08 2.9325650096423125e+08 2.9314698268487763e+08 2.9301500694751793e+08 2.9285668898036510e+08 2.9266632314469576e+08 2.9243402812070721e+08 2.9215080408461499e+08 2.9181237869490689e+08 2.9141175847847015e+08 2.9093874031824553e+08 2.9038115492401522e+08 2.8972484091273743e+08 2.8895341231216675e+08 2.8804796647942656e+08 2.8698678541012841e+08 2.8574504948160285e+08 2.8429459900732023e+08 2.8260372781145716e+08 2.8063714216421878e+08 2.7835610141673726e+08 2.7571891483987701e+08 2.7268182737394702e+08 2.6892231429825932e+08 2.6459761685295513e+08 2.5966243556656834e+08 2.5408472327941719e+08 2.4785300412248138e+08 2.4098410345876211e+08 2.3352992784394369e+08 2.2558140431436566e+08 2.1726783070770365e+08 2.0874881571271294e+08 2.0020081108189490e+08 1.9180494070993128e+08 1.8373038765604338e+08 1.7610675557142350e+08 1.6902452429642323e+08 1.6253725587104648e+08 1.5665994144044566e+08 1.5138112300060621e+08 1.4666880119815519e+08 1.4248547397593170e+08 1.3878386463609454e+08 1.3552305661966416e+08 1.3265759659423527e+08 1.3015442761685164e+08 1.2797626452906375e+08 1.2609090963809189e+08 1.2447346759951173e+08 1.2309565079300012e+08 1.2192993822382998e+08 1.2095667204282296e+08 1.2015003819290885e+08 1.1949249952803063e+08 1.1896301324690486e+08 1.1854415034466511e+08 1.1821151010643695e+08 1.1794095062948115e+08 1.1771539101453631e+08 1.1751808412763478e+08 1.1733175778461194e+08 1.1719985775634836e+08 1.1706666021506214e+08 1.1693074540371467e+08 1.1678838563591638e+08 1.1664152617140843e+08 1.1648586821573009e+08 1.1632703728151679e+08 1.1615029678485215e+08 1.1596114773008829e+08 1.1575610977564502e+08 1.1553246521708135e+08 1.1528691157234626e+08 1.1501572852936266e+08 1.1471349378731282e+08 1.1438124630942258e+08 1.1400582889490250e+08 1.1358492200489019e+08 1.1311241849320468e+08 1.1258174607491925e+08 1.1198612704992749e+08 1.1131876307709698e+08 1.1057206114089280e+08 1.0974745017161718e+08 1.0882991627770866e+08 1.0782286101017636e+08 1.0672861387032957e+08 1.0555575759843647e+08 1.0431889516209260e+08 1.0304582172628002e+08 1.0177782994748016e+08 1.0058304671220244e+08 9.9546102978025079e+07 9.8800630379215404e+07 9.8532386363012865e+07 9.9011573830635488e+07 1.0063115847030799e+08 1.0398664718119510e+08 1.1002069486336944e+08 1.2032240497834396e+08 2.7860141346055016e+07 +8.7995331777259018e+00 2.9337844623247898e+08 2.9334971593897533e+08 2.9330119252913713e+08 2.9323745555096245e+08 2.9317334917550421e+08 2.9313214773200029e+08 2.9312427738850737e+08 2.9313207763387239e+08 2.9313734794508344e+08 2.9313591214822644e+08 2.9312926275652301e+08 2.9311698481943560e+08 2.9309779236530620e+08 2.9307052729147017e+08 2.9303406421484244e+08 2.9298695314038610e+08 2.9292747609931678e+08 2.9285369011266178e+08 2.9276333052535856e+08 2.9265369022747374e+08 2.9252157439417112e+08 2.9236309500355715e+08 2.9217254321959919e+08 2.9194003252104884e+08 2.9165655066029662e+08 2.9131781760735488e+08 2.9091683934206766e+08 2.9044340904325718e+08 2.8988535150028849e+08 2.8922849920257580e+08 2.8845646055737084e+08 2.8755032846894771e+08 2.8648838251650059e+08 2.8524580387448359e+08 2.8379443840544784e+08 2.8210259230196375e+08 2.8013499354351437e+08 2.7785293563026887e+08 2.7521477790816408e+08 2.7217683518026197e+08 2.6841663931639335e+08 2.6409165034545705e+08 2.5915675426950994e+08 2.5358012163723132e+08 2.4735051537387931e+08 2.4048500047787982e+08 2.3303569458349192e+08 2.2509367169810247e+08 2.1678827691179883e+08 2.0827904360889697e+08 1.9974222108557677e+08 1.9135860703083012e+08 1.8329697120442936e+08 1.7568650389727822e+08 1.6861729819985554e+08 1.6214258597750685e+08 1.5627712084638461e+08 1.5100929141613474e+08 1.4630702627407199e+08 1.4213279640038067e+08 1.3843935346117386e+08 1.3518581632417241e+08 1.3232679849323554e+08 1.2982929057244460e+08 1.2765607676910082e+08 1.2577502246442506e+08 1.2416128072661300e+08 1.2278662578463778e+08 1.2162359792884211e+08 1.2065258174180035e+08 1.1984782342654081e+08 1.1919182332785672e+08 1.1866358644190051e+08 1.1824572148046133e+08 1.1791388295162891e+08 1.1764398469484034e+08 1.1741898271012594e+08 1.1722216762494476e+08 1.1703630855026913e+08 1.1690474022221588e+08 1.1677187794119787e+08 1.1663630535731497e+08 1.1649430409286280e+08 1.1634781447740635e+08 1.1619254874958187e+08 1.1603411716318597e+08 1.1585782176362166e+08 1.1566914905103438e+08 1.1546462744761136e+08 1.1524154609208983e+08 1.1499661081827915e+08 1.1472611068208824e+08 1.1442463725246781e+08 1.1409322580373892e+08 1.1371875376462406e+08 1.1329890679480536e+08 1.1282759312628029e+08 1.1229825702368315e+08 1.1170413785355367e+08 1.1103845439353260e+08 1.1029363295618170e+08 1.0947109784189713e+08 1.0855587440800329e+08 1.0755135502139904e+08 1.0645986331788528e+08 1.0528996042567560e+08 1.0405621254115300e+08 1.0278634483917169e+08 1.0152154618981455e+08 1.0032977098346733e+08 9.9295438395869210e+07 9.8551842997716337e+07 9.8284274670822009e+07 9.8762255556572601e+07 1.0037776191526057e+08 1.0372480121258152e+08 1.0974365495915230e+08 1.2001942383020000e+08 2.7769055310756832e+07 +8.8045015005001606e+00 2.9288587659475148e+08 2.9285719228727984e+08 2.9280874641939646e+08 2.9274510974466521e+08 2.9268109777315670e+08 2.9263994497703123e+08 2.9263205999173015e+08 2.9263981248458320e+08 2.9264503186245394e+08 2.9264354722478008e+08 2.9263684659051639e+08 2.9262451382048219e+08 2.9260526285002452e+08 2.9257793484231269e+08 2.9254140322170919e+08 2.9249421685614884e+08 2.9243465633160943e+08 2.9236077674890214e+08 2.9227031117234594e+08 2.9216054993790102e+08 2.9202829528784996e+08 2.9186965598504269e+08 2.9167892004197568e+08 2.9144619581391269e+08 2.9116245872877288e+08 2.9082342112468076e+08 2.9042208848089540e+08 2.8994825035006422e+08 2.8938972570122546e+08 2.8873234101050431e+08 2.8795969919479340e+08 2.8705288885026532e+08 2.8599018729968590e+08 2.8474677668914682e+08 2.8329450861636978e+08 2.8160170183678889e+08 2.7963310623434454e+08 2.7735004964522022e+08 2.7471094165301770e+08 2.7167216704440928e+08 2.6791131636511460e+08 2.6358606672685039e+08 2.5865148935649201e+08 2.5307597203003848e+08 2.4684851571419337e+08 2.3998642400800362e+08 2.3254202434154233e+08 2.2460653625574306e+08 2.1630935065338704e+08 2.0780992436135256e+08 1.9928430333113614e+08 1.9091295869015896e+08 1.8286424711599284e+08 1.7526694618088955e+08 1.6821076319593593e+08 1.6174860098289809e+08 1.5589497671872246e+08 1.5063812658108440e+08 1.4594590784121472e+08 1.4178076508519906e+08 1.3809547869677132e+08 1.3484920322026762e+08 1.3199661910075489e+08 1.2950476457759717e+08 1.2733649321781057e+08 1.2545973345050780e+08 1.2384968673906897e+08 1.2247818909418608e+08 1.2131784201658811e+08 1.2034907247672780e+08 1.1954618684743182e+08 1.1889172292622659e+08 1.1836473344084661e+08 1.1794786477778234e+08 1.1761682659214415e+08 1.1734758838306880e+08 1.1712314300836234e+08 1.1692681880541497e+08 1.1674142611174689e+08 1.1661018884972133e+08 1.1647766118643966e+08 1.1634243017364223e+08 1.1620078672453712e+08 1.1605466624839959e+08 1.1589979199470808e+08 1.1574175899270964e+08 1.1556590783617631e+08 1.1537771055175146e+08 1.1517370430851090e+08 1.1495118507529427e+08 1.1470686698592815e+08 1.1443704844617766e+08 1.1413633486713693e+08 1.1380575784653550e+08 1.1343222936886437e+08 1.1301344028563908e+08 1.1254331417744958e+08 1.1201531182670538e+08 1.1142268963383426e+08 1.1075868346248341e+08 1.1001573891528961e+08 1.0919527567621948e+08 1.0828235826970081e+08 1.0728036989896011e+08 1.0619162834533064e+08 1.0502467316672617e+08 1.0379403385876025e+08 1.0252736574044795e+08 1.0126575409370157e+08 1.0007698114794472e+08 9.9045254697485894e+07 9.8303532898370251e+07 9.8036638963587642e+07 9.8513415581917763e+07 1.0012485148380242e+08 1.0346345757733330e+08 1.0946714653587337e+08 1.1971702393294726e+08 2.7678240705105994e+07 +8.8094698232744193e+00 2.9239345519135314e+08 2.9236481561465251e+08 2.9231644933356237e+08 2.9225291281757951e+08 2.9218899527419138e+08 2.9214789122557026e+08 2.9213999170373976e+08 2.9214769656874377e+08 2.9215286517334819e+08 2.9215133188339496e+08 2.9214458023424900e+08 2.9213219290431178e+08 2.9211288374382240e+08 2.9208549319144726e+08 2.9204889348963273e+08 2.9200163238210928e+08 2.9194198902416754e+08 2.9186801661632788e+08 2.9177744596291620e+08 2.9166756487135732e+08 2.9153517268036389e+08 2.9137637497346526e+08 2.9118545665639687e+08 2.9095252103814685e+08 2.9066853132290906e+08 2.9032919227253813e+08 2.8992750891141456e+08 2.8945326724450910e+08 2.8889428051967806e+08 2.8823636931479245e+08 2.8746313118509138e+08 2.8655565056346971e+08 2.8549220267569417e+08 2.8424797081302357e+08 2.8279481249333400e+08 2.8110105922923839e+08 2.7913148300335330e+08 2.7684744617300284e+08 2.7420740872214812e+08 2.7116782553898972e+08 2.6740634792271709e+08 2.6308086836584470e+08 2.5814664306942677e+08 2.5257227655444661e+08 2.4634700707684383e+08 2.3948837580209517e+08 2.3204891867604086e+08 2.2411999933900622e+08 2.1583105307451534e+08 2.0734145890425047e+08 1.9882705855393982e+08 1.9046799624053773e+08 1.8243221578093466e+08 1.7484808267233831e+08 1.6780491941818219e+08 1.6135530092588735e+08 1.5551350902054477e+08 1.5026762839863878e+08 1.4558544575620812e+08 1.4142937985067165e+08 1.3775224013426781e+08 1.3451321707662165e+08 1.3166705816734777e+08 1.2918084936838879e+08 1.2701751359957345e+08 1.2514504231110758e+08 1.2353868534400409e+08 1.2217034042257215e+08 1.2101267018334761e+08 1.2004614394001661e+08 1.1924512814538175e+08 1.1859219801091444e+08 1.1806645393036760e+08 1.1765057992248303e+08 1.1732034071360013e+08 1.1705176137998405e+08 1.1682787159535371e+08 1.1663203735550719e+08 1.1644711015603936e+08 1.1631620332606021e+08 1.1618400963836053e+08 1.1604911954040278e+08 1.1590783321920243e+08 1.1576208117310575e+08 1.1560759764023337e+08 1.1544996245980407e+08 1.1527455469256483e+08 1.1508683192276974e+08 1.1488334004935098e+08 1.1466138185841206e+08 1.1441767976757029e+08 1.1414854151464960e+08 1.1384858632532524e+08 1.1351884213249034e+08 1.1314625540354601e+08 1.1272852217442422e+08 1.1225958134497711e+08 1.1173291018365903e+08 1.1114178209205365e+08 1.1047944998697609e+08 1.0973837872307962e+08 1.0891998338172553e+08 1.0800936757235371e+08 1.0700990535496427e+08 1.0592390866793227e+08 1.0475989553999542e+08 1.0353235883667450e+08 1.0226888415515597e+08 1.0101045338755567e+08 9.9824676937293604e+07 9.8795551617219031e+07 9.8055699817608356e+07 9.7789478978339642e+07 9.8265053642544195e+07 9.9872426907416582e+07 1.0320261599801803e+08 1.0919116929968880e+08 1.1941520496564499e+08 2.7587696843434229e+07 +8.8144381460486780e+00 2.9190118444124085e+08 2.9187259352072692e+08 2.9182430498793006e+08 2.9176086775135040e+08 2.9169704474508226e+08 2.9165598953298801e+08 2.9164807557853019e+08 2.9165573293977588e+08 2.9166085093102485e+08 2.9165926917717326e+08 2.9165246674086207e+08 2.9164002512341386e+08 2.9162065809829503e+08 2.9159320538981473e+08 2.9155653806866276e+08 2.9150920276686037e+08 2.9144947722466832e+08 2.9137541276076281e+08 2.9128473794039923e+08 2.9117473806892997e+08 2.9104220961024094e+08 2.9088325500351012e+08 2.9069215609301972e+08 2.9045901121906209e+08 2.9017477146155041e+08 2.8983513406201237e+08 2.8943310363596660e+08 2.8895846271864176e+08 2.8839901893499678e+08 2.8774058707987821e+08 2.8696675947548401e+08 2.8605861653504217e+08 2.8499443154640234e+08 2.8374938911897624e+08 2.8229535287590510e+08 2.8060066727907044e+08 2.7863012660311073e+08 2.7634512791153997e+08 2.7370418174882019e+08 2.7066381322241390e+08 2.6690173645365357e+08 2.6257605761682135e+08 2.5764221763567564e+08 2.5206903729342458e+08 2.4584599138158527e+08 2.3899085759965035e+08 2.3155637913131362e+08 2.2363406228792295e+08 2.1535338530517143e+08 2.0687364816047907e+08 1.9837048747942132e+08 1.9002372022517681e+08 1.8200087758039656e+08 1.7442991361354908e+08 1.6739976699279210e+08 1.6096268583807236e+08 1.5513271770823139e+08 1.4989779676611146e+08 1.4522563987002063e+08 1.4107864051131764e+08 1.3740963755976966e+08 1.3417785765687712e+08 1.3133811543876722e+08 1.2885754467611018e+08 1.2669913763403040e+08 1.2483094875668359e+08 1.2322827624434556e+08 1.2186307946668461e+08 1.2070808212106137e+08 1.1974379582018945e+08 1.1894464700606769e+08 1.1829324826575682e+08 1.1776874759310772e+08 1.1735386659672266e+08 1.1702442499802870e+08 1.1675650336751336e+08 1.1653316815321018e+08 1.1633782295786548e+08 1.1615336036616348e+08 1.1602278333464234e+08 1.1589092298081979e+08 1.1575637314208914e+08 1.1561544326157132e+08 1.1547005893653353e+08 1.1531596537154849e+08 1.1515872725013575e+08 1.1498376201897851e+08 1.1479651285071568e+08 1.1459353435756354e+08 1.1437213612929261e+08 1.1412904885185254e+08 1.1386058957689573e+08 1.1356139131709841e+08 1.1323247835270128e+08 1.1286083156055017e+08 1.1244415215420823e+08 1.1197639432317062e+08 1.1145105179028453e+08 1.1086141492559049e+08 1.1020075366623329e+08 1.0946155208091499e+08 1.0864522066188754e+08 1.0773690202191834e+08 1.0673996109831557e+08 1.0565670399732639e+08 1.0449562726025392e+08 1.0327118719294785e+08 1.0201089980493174e+08 1.0075564379641064e+08 9.9572858079786807e+07 9.8546328886090100e+07 9.7808343488567010e+07 9.7542794448864430e+07 9.8017169470857754e+07 9.9620487914190382e+07 1.0294227619370238e+08 1.0891572295350423e+08 1.1911396660306200e+08 2.7497423041208677e+07 +8.8194064688229368e+00 2.9140907114818048e+08 2.9138052556743652e+08 2.9133231506099600e+08 2.9126897761842424e+08 2.9120524924802393e+08 2.9116424294141328e+08 2.9115631465578324e+08 2.9116392463760459e+08 2.9116899217505234e+08 2.9116736214517683e+08 2.9116050914906359e+08 2.9114801351582682e+08 2.9112858895130903e+08 2.9110107447467917e+08 2.9106433999492443e+08 2.9101693104528612e+08 2.9095712396682942e+08 2.9088296821409357e+08 2.9079219013519281e+08 2.9068207255775332e+08 2.9054940910173714e+08 2.9039029909568697e+08 2.9019902136850673e+08 2.8996566936828399e+08 2.8968118214985389e+08 2.8934124949073958e+08 2.8893887564309686e+08 2.8846383974991000e+08 2.8790394391263860e+08 2.8724499725639117e+08 2.8647058699868888e+08 2.8556178967714888e+08 2.8449687679963195e+08 2.8325103446603799e+08 2.8179613258916891e+08 2.8010052877137512e+08 2.7812903977231556e+08 2.7584309754435551e+08 2.7320126335225487e+08 2.7016013263903260e+08 2.6639748440816477e+08 2.6207163682027820e+08 2.5713821526939946e+08 2.5156625631577206e+08 2.4534547053449917e+08 2.3849387112681031e+08 2.3106440723966247e+08 2.2314872642982525e+08 2.1487634846417120e+08 2.0640649304175428e+08 1.9791459082219803e+08 1.8958013117726618e+08 1.8157023288632962e+08 1.7401243923829716e+08 1.6699530603800422e+08 1.6057075574421862e+08 1.5475260273173279e+08 1.4952863157474536e+08 1.4486649002771908e+08 1.4072854687641048e+08 1.3706767075433987e+08 1.3384312471973352e+08 1.3100979065605360e+08 1.2853485022772819e+08 1.2638136503672519e+08 1.2451745249334635e+08 1.2291845913865401e+08 1.2155640591916834e+08 1.2040407751779911e+08 1.1944202780148119e+08 1.1864474311117516e+08 1.1799487337063107e+08 1.1747161410786991e+08 1.1705772447857741e+08 1.1672907912318152e+08 1.1646181402380732e+08 1.1623903236046927e+08 1.1604417529113625e+08 1.1586017642136768e+08 1.1572992855509613e+08 1.1559840089364173e+08 1.1546419065867968e+08 1.1532361653219496e+08 1.1517859921966521e+08 1.1502489487022908e+08 1.1486805304562129e+08 1.1469352949800916e+08 1.1450675301867120e+08 1.1430428691651835e+08 1.1408344757217672e+08 1.1384097392346244e+08 1.1357319231829958e+08 1.1327474952883963e+08 1.1294666619442162e+08 1.1257595752820474e+08 1.1216032991444956e+08 1.1169375280287509e+08 1.1116973633878185e+08 1.1058158782832226e+08 1.0992259419595180e+08 1.0918525868651116e+08 1.0837098721670045e+08 1.0746496132091109e+08 1.0647053683402061e+08 1.0539001404172529e+08 1.0423186803904203e+08 1.0301051864242154e+08 1.0175341240808962e+08 1.0050132504198714e+08 9.9321524300388679e+07 9.8297586231996536e+07 9.7561463641073599e+07 9.7296585105766594e+07 9.7769762796236321e+07 9.9369034228943795e+07 1.0268243788003363e+08 1.0864080719661376e+08 1.1881330851626211e+08 2.7407418615033083e+07 +8.8243747915971955e+00 2.9091711391242611e+08 2.9088861610498595e+08 2.9084048252792197e+08 2.9077724554974896e+08 2.9071361183232808e+08 2.9067265447829598e+08 2.9066471196092492e+08 2.9067227468812412e+08 2.9067729193141448e+08 2.9067561381297719e+08 2.9066871048381859e+08 2.9065616110673618e+08 2.9063667932721001e+08 2.9060910346912515e+08 2.9057230229075617e+08 2.9052482023880756e+08 2.9046493227015626e+08 2.9039068599400342e+08 2.9029980556286019e+08 2.9018957135136807e+08 2.9005677416523206e+08 2.8989751025712699e+08 2.8970605548537081e+08 2.8947249848273671e+08 2.8918776637878537e+08 2.8884754154209322e+08 2.8844482790742737e+08 2.8796940130250454e+08 2.8740905840378672e+08 2.8674960278027159e+08 2.8597461667380995e+08 2.8506517288790059e+08 2.8399954130931318e+08 2.8275290969939953e+08 2.8129715444421852e+08 2.7960064647743481e+08 2.7762822523522007e+08 2.7534135774089670e+08 2.7269865613757735e+08 2.6965678631900889e+08 2.6589359422225198e+08 2.6156760830295837e+08 2.5663463817047548e+08 2.5106393567705923e+08 2.4484544642817271e+08 2.3799741809684348e+08 2.3057300452002230e+08 2.2266399307953894e+08 2.1439994365782890e+08 2.0593999444913739e+08 1.9745936928676960e+08 1.8913722962048525e+08 1.8114028206216893e+08 1.7359565977204102e+08 1.6659153666480139e+08 1.6017951066192961e+08 1.5437316403437892e+08 1.4916013270941493e+08 1.4450799606885156e+08 1.4037909874974993e+08 1.3672633949395099e+08 1.3350901801915038e+08 1.3068208355558859e+08 1.2821276574539760e+08 1.2606419551852439e+08 1.2420455322292995e+08 1.2260923372137523e+08 1.2125031946857427e+08 1.2010065605737993e+08 1.1914083956421776e+08 1.1834541613858609e+08 1.1769707300150332e+08 1.1717505314933658e+08 1.1676215324233384e+08 1.1643430276312907e+08 1.1616769302301754e+08 1.1594546389158694e+08 1.1575109403039217e+08 1.1556755799693972e+08 1.1543763866300911e+08 1.1530644305286393e+08 1.1517257176679443e+08 1.1503235270797016e+08 1.1488770169978817e+08 1.1473438581381552e+08 1.1457793952443756e+08 1.1440385680801480e+08 1.1421755210574237e+08 1.1401559740597707e+08 1.1379531586723830e+08 1.1355345466347671e+08 1.1328634942076996e+08 1.1298866064309278e+08 1.1266140534111248e+08 1.1229163299107695e+08 1.1187705514087631e+08 1.1141165647102392e+08 1.1088896351769871e+08 1.1030230049030529e+08 1.0964497126804960e+08 1.0890949823382314e+08 1.0809728274244963e+08 1.0719354516814128e+08 1.0620163226379710e+08 1.0512383850574034e+08 1.0396861758407438e+08 1.0275035289644347e+08 1.0149642167945632e+08 1.0024749684273037e+08 9.9070675320760846e+07 9.8049323379346296e+07 9.7315060001704976e+07 9.7050850676483288e+07 9.7522833344711572e+07 9.9118065573321849e+07 1.0242310076933447e+08 1.0836642172455266e+08 1.1851323037229265e+08 2.7317682882649224e+07 +8.8293431143714542e+00 2.9042531754868448e+08 2.9039686672369605e+08 2.9034881191735739e+08 2.9028567465937603e+08 2.9022213552868026e+08 2.9018122715688878e+08 2.9017327050534952e+08 2.9018078610356200e+08 2.9018575321201086e+08 2.9018402719230473e+08 2.9017707375671202e+08 2.9016447090648627e+08 2.9014493223602247e+08 2.9011729538286823e+08 2.9008042796468240e+08 2.9003287335484189e+08 2.8997290514085954e+08 2.8989856910506183e+08 2.8980758722549379e+08 2.8969723744942850e+08 2.8956430779748791e+08 2.8940489148079610e+08 2.8921326143255341e+08 2.8897950154639786e+08 2.8869452712587517e+08 2.8835401318579900e+08 2.8795096338962281e+08 2.8747515032615054e+08 2.8691436534598207e+08 2.8625440657467026e+08 2.8547885140567666e+08 2.8456876905171579e+08 2.8350242793504816e+08 2.8225501765013736e+08 2.8079842123811477e+08 2.7910102315461373e+08 2.7712768570225030e+08 2.7483991115637982e+08 2.7219636269599062e+08 2.6915377677827847e+08 2.6539006831844673e+08 2.6106397437727535e+08 2.5613148852458823e+08 2.5056207741881266e+08 2.4434592094204924e+08 2.3750150020958725e+08 2.3008217247869840e+08 2.2217986354026428e+08 2.1392417198139036e+08 2.0547415327244392e+08 1.9700482356716275e+08 1.8869501606923279e+08 1.8071102546218774e+08 1.7317957543236148e+08 1.6618845897607967e+08 1.5978895060191533e+08 1.5399440155342236e+08 1.4879230004926741e+08 1.4415015782723713e+08 1.4003029592982340e+08 1.3638564354936394e+08 1.3317553730408540e+08 1.3035499386887287e+08 1.2789129094679406e+08 1.2574762878586411e+08 1.2389225064294560e+08 1.2230059968277778e+08 1.2094481979923876e+08 1.1979781741975403e+08 1.1884023078492421e+08 1.1804666576207745e+08 1.1739984683046564e+08 1.1687906438874526e+08 1.1646715255842736e+08 1.1614009558831769e+08 1.1587414003551176e+08 1.1565246241711546e+08 1.1545857884656549e+08 1.1527550476450147e+08 1.1514591333038390e+08 1.1501504913092887e+08 1.1488151613906899e+08 1.1474165146194683e+08 1.1459736605034509e+08 1.1444443787637579e+08 1.1428838636092028e+08 1.1411474362404270e+08 1.1392890978723885e+08 1.1372746550194600e+08 1.1350774069120084e+08 1.1326649074915212e+08 1.1300006056212096e+08 1.1270312433890565e+08 1.1237669547251700e+08 1.1200785763002443e+08 1.1159432751552054e+08 1.1113010501100264e+08 1.1060873301188222e+08 1.1002355259814066e+08 1.0936788457091638e+08 1.0863427041347070e+08 1.0782410693192685e+08 1.0692265325900306e+08 1.0593324708585598e+08 1.0485817709067622e+08 1.0370587560002714e+08 1.0249068966302165e+08 1.0123992733058691e+08 9.9994158913729787e+07 9.8820310859302267e+07 9.7801540049660280e+07 9.7069132293899715e+07 9.6805590885098100e+07 9.7276380839050278e+07 9.8867581665647373e+07 1.0216426457051282e+08 1.0809256622928908e+08 1.1821373183431308e+08 2.7228215162938103e+07 +8.8343114371457130e+00 2.8993368627437055e+08 2.8990528294649851e+08 2.8985730607343531e+08 2.8979426791816819e+08 2.8973082334572965e+08 2.8968996397582740e+08 2.8968199328698838e+08 2.8968946188235402e+08 2.8969437901511586e+08 2.8969260528065819e+08 2.8968560196509445e+08 2.8967294591260821e+08 2.8965335067447078e+08 2.8962565321165764e+08 2.8958872001183939e+08 2.8954109338670248e+08 2.8948104557086420e+08 2.8940662053748226e+08 2.8931553811159360e+08 2.8920507383793211e+08 2.8907201298105687e+08 2.8891244574594605e+08 2.8872064218468374e+08 2.8848668152906615e+08 2.8820146735423970e+08 2.8786066737779015e+08 2.8745728503649950e+08 2.8698108975730610e+08 2.8641986766269511e+08 2.8575941154804832e+08 2.8498329408535188e+08 2.8407258103891188e+08 2.8300553952290189e+08 2.8175736113512391e+08 2.8029993575429195e+08 2.7860166154609400e+08 2.7662742386959434e+08 2.7433876043244338e+08 2.7169438560464120e+08 2.6865110651914120e+08 2.6488690910447800e+08 2.6056073734220192e+08 2.5562876850449437e+08 2.5006068356914088e+08 2.4384689594201607e+08 2.3700611915209886e+08 2.2959191260969949e+08 2.2169633910258117e+08 2.1344903451852310e+08 2.0500897039061096e+08 1.9655095434752592e+08 1.8825349102789015e+08 1.8028246343236387e+08 1.7276418642831782e+08 1.6578607306812268e+08 1.5939907556798518e+08 1.5361631521936977e+08 1.4842513346741563e+08 1.4379297513098869e+08 1.3968213820979896e+08 1.3604558268632281e+08 1.3284268231851296e+08 1.3002852132296881e+08 1.2757042554528044e+08 1.2543166454109845e+08 1.2358054444669570e+08 1.2199255670898758e+08 1.2063990659164302e+08 1.1949556128072266e+08 1.1854020113594928e+08 1.1774849165152957e+08 1.1710319452573937e+08 1.1658364749306980e+08 1.1617272209334444e+08 1.1584645726509039e+08 1.1558115472796375e+08 1.1536002760423389e+08 1.1516662940716070e+08 1.1498401639178321e+08 1.1485475222545737e+08 1.1472421879626046e+08 1.1459102344440225e+08 1.1445151246338195e+08 1.1430759194121392e+08 1.1415505072809200e+08 1.1399939322565655e+08 1.1382618961716270e+08 1.1364082573486857e+08 1.1343989087660071e+08 1.1322072171677652e+08 1.1298008185407600e+08 1.1271432541698344e+08 1.1241814029132077e+08 1.1209253626490434e+08 1.1172463112220453e+08 1.1131214671673487e+08 1.1084909810245879e+08 1.1032904450258741e+08 1.0974534383466066e+08 1.0909133378934035e+08 1.0835957491220404e+08 1.0755145947433542e+08 1.0665228528527308e+08 1.0566538099482796e+08 1.0459302949426380e+08 1.0344364178800863e+08 1.0223152864673412e+08 1.0098392906963438e+08 9.9741310966766179e+07 9.8570430631313607e+07 9.7554235960946724e+07 9.6823680237954900e+07 9.6560805452673331e+07 9.7030404999024287e+07 9.8617582220811814e+07 1.0190592898906556e+08 1.0781924039930257e+08 1.1791481256168728e+08 2.7139014775921315e+07 +8.8392797599199717e+00 2.8944222330175000e+08 2.8941386554584026e+08 2.8936596674224770e+08 2.8930302817488205e+08 2.8923967826741445e+08 2.8919886791978890e+08 2.8919088328898734e+08 2.8919830500938183e+08 2.8920317232520205e+08 2.8920135106253380e+08 2.8919429809276903e+08 2.8918158910825163e+08 2.8916193762521023e+08 2.8913417993743706e+08 2.8909718141277188e+08 2.8904948331466001e+08 2.8898935653868711e+08 2.8891484326814067e+08 2.8882366119568074e+08 2.8871308348857874e+08 2.8857989268531859e+08 2.8842017601801842e+08 2.8822820070314348e+08 2.8799404138654399e+08 2.8770859001378042e+08 2.8736750706007171e+08 2.8696379578105503e+08 2.8648722251824945e+08 2.8592556826369643e+08 2.8526462059518284e+08 2.8448794759034908e+08 2.8357661170604861e+08 2.8250887890495205e+08 2.8125994295772618e+08 2.7980170076162964e+08 2.7810256438113081e+08 2.7612744242012608e+08 2.7383790819653118e+08 2.7119272742646456e+08 2.6814877802986291e+08 2.6438411897505727e+08 2.6005789948244786e+08 2.5512648026840347e+08 2.4955975614228767e+08 2.4334837328044021e+08 2.3651127659815493e+08 2.2910222639401937e+08 2.2121342104497629e+08 2.1297453234086815e+08 2.0454444667152029e+08 1.9609776230149806e+08 1.8781265499194869e+08 1.7985459630929029e+08 1.7234949296132344e+08 1.6538437902898318e+08 1.5900988555693966e+08 1.5323890495616791e+08 1.4805863283088866e+08 1.4343644780277106e+08 1.3933462537759927e+08 1.3570615666542140e+08 1.3251045280199011e+08 1.2970266564023054e+08 1.2725016924964292e+08 1.2511630248198815e+08 1.2326943432323547e+08 1.2168510448197564e+08 1.2033557952216013e+08 1.1919388731230034e+08 1.1824075028570820e+08 1.1745089347298257e+08 1.1680711575166449e+08 1.1628880212554392e+08 1.1587886150999939e+08 1.1555338745597243e+08 1.1528873676309232e+08 1.1506815911596553e+08 1.1487524537555796e+08 1.1469309254296017e+08 1.1456415501237711e+08 1.1443395171358897e+08 1.1430109334795982e+08 1.1416193537793621e+08 1.1401837903814739e+08 1.1386622403532909e+08 1.1371095978552210e+08 1.1353819445468645e+08 1.1335329961657484e+08 1.1315287319845273e+08 1.1293425861318800e+08 1.1269422764798540e+08 1.1242914365580982e+08 1.1213370817187952e+08 1.1180892739058940e+08 1.1144195314118692e+08 1.1103051241932806e+08 1.1056863542163484e+08 1.1004989766730040e+08 1.0946767387925634e+08 1.0881531860469039e+08 1.0808541141360615e+08 1.0727934005544735e+08 1.0638244093530631e+08 1.0539803368196307e+08 1.0432839541091612e+08 1.0318191584564932e+08 1.0197286954880734e+08 1.0072842660162745e+08 9.9488952710426584e+07 9.8321034348615438e+07 9.7307410828099757e+07 9.6578703550809577e+07 9.6316494097022936e+07 9.6784905541026011e+07 9.8368066950893313e+07 1.0164809372726838e+08 1.0754644391956235e+08 1.1761647220971632e+08 2.7050081042762160e+07 +8.8442480826942305e+00 2.8895092805460376e+08 2.8892261778980333e+08 2.8887479707437575e+08 2.8881195833634460e+08 2.8874870325416386e+08 2.8870794195836544e+08 2.8869994348152512e+08 2.8870731845524329e+08 2.8871213611270201e+08 2.8871026750795525e+08 2.8870316510971588e+08 2.8869040346267718e+08 2.8867069605705798e+08 2.8864287852798682e+08 2.8860581513492912e+08 2.8855804610421860e+08 2.8849784100904739e+08 2.8842324025980771e+08 2.8833195943831742e+08 2.8822126935992813e+08 2.8808794986525440e+08 2.8792808524878979e+08 2.8773593993547219e+08 2.8750158406114715e+08 2.8721589804046154e+08 2.8687453516112548e+08 2.8647049854251415e+08 2.8599355151772213e+08 2.8543147004490876e+08 2.8477003659704071e+08 2.8399281478380555e+08 2.8308086389559883e+08 2.8201244889904803e+08 2.8076276590720594e+08 2.7930371901582223e+08 2.7760373437494057e+08 2.7562774402165639e+08 2.7333735706176656e+08 2.7069139071078646e+08 2.6764679378471729e+08 2.6388170031023985e+08 2.5955546306883568e+08 2.5462462596149188e+08 2.4905929713952783e+08 2.4285035479656151e+08 2.3601697420842135e+08 2.2861311530009094e+08 2.2073111063399422e+08 2.1250066650889859e+08 2.0408058297242469e+08 1.9564524809266400e+08 1.8737250844711828e+08 1.7942742442139298e+08 1.7193549522438088e+08 1.6498337693986115e+08 1.5862138055909532e+08 1.5286217068195778e+08 1.4769279800097114e+08 1.4308057565948090e+08 1.3898775721568066e+08 1.3536736524261159e+08 1.3217884848886725e+08 1.2937742653845136e+08 1.2693052176417719e+08 1.2480154230204684e+08 1.2295891995744473e+08 1.2137824267953937e+08 1.2003183826293251e+08 1.1889279518233138e+08 1.1794187789901468e+08 1.1715387088870595e+08 1.1651161016873431e+08 1.1599452794592710e+08 1.1558557046729615e+08 1.1526088582000935e+08 1.1499688579995164e+08 1.1477685661163859e+08 1.1458442641169211e+08 1.1440273287817888e+08 1.1427412135209259e+08 1.1414424754411563e+08 1.1401172551118074e+08 1.1387291986744484e+08 1.1372972700357673e+08 1.1357795746077855e+08 1.1342308570375511e+08 1.1325075780033068e+08 1.1306633109661534e+08 1.1286641213237695e+08 1.1264835104603824e+08 1.1240892779727453e+08 1.1214451494561385e+08 1.1184982764846364e+08 1.1152586851844232e+08 1.1115982335684760e+08 1.1074942429426880e+08 1.1028871664090516e+08 1.0977129218006180e+08 1.0919054240760429e+08 1.0853983869446295e+08 1.0781177959738889e+08 1.0700774835743298e+08 1.0611311989399415e+08 1.0513120483509156e+08 1.0406427453161129e+08 1.0292069746737652e+08 1.0171471206729612e+08 1.0047341962816638e+08 9.9237083850024745e+07 9.8072121720083758e+07 9.7061064362965494e+07 9.6334201946481481e+07 9.6072656532849014e+07 9.6539882178328663e+07 9.8119035564371616e+07 1.0139075848404376e+08 1.0727417647151227e+08 1.1731871043012862e+08 2.6961413285766896e+07 +8.8492164054684892e+00 2.8845980842651886e+08 2.8843154242764181e+08 2.8838380037662071e+08 2.8832106145353246e+08 2.8825790124754357e+08 2.8821718904731232e+08 2.8820917682052112e+08 2.8821650517734963e+08 2.8822127333521408e+08 2.8821935757390785e+08 2.8821220597220439e+08 2.8819939193223768e+08 2.8817962892539728e+08 2.8815175193838894e+08 2.8811462413178515e+08 2.8806678470827574e+08 2.8800650193278438e+08 2.8793181446139389e+08 2.8784043578704756e+08 2.8772963439639980e+08 2.8759618746229553e+08 2.8743617637598085e+08 2.8724386281518292e+08 2.8700931248118472e+08 2.8672339435612911e+08 2.8638175459512627e+08 2.8597739622636396e+08 2.8550007964990431e+08 2.8493757588841236e+08 2.8427566242117238e+08 2.8349789851534766e+08 2.8258534043639368e+08 2.8151625230960709e+08 2.8026583275890559e+08 2.7880599325786066e+08 2.7710517422933644e+08 2.7512833132913095e+08 2.7283710962796760e+08 2.7019037799278653e+08 2.6714515624397147e+08 2.6337965547637355e+08 2.5905343035876629e+08 2.5412320771442053e+08 2.4855930854792422e+08 2.4235284231638893e+08 2.3552321363094884e+08 2.2812458078394750e+08 2.2024940912396932e+08 2.1202743807157734e+08 2.0361738013959706e+08 1.9519341237440196e+08 1.8693305186982515e+08 1.7900094808812189e+08 1.7152219340277675e+08 1.6458306687425297e+08 1.5823356055743819e+08 1.5248611230808070e+08 1.4732762883276507e+08 1.4272535851265413e+08 1.3864153350156781e+08 1.3502920816852176e+08 1.3184786910900618e+08 1.2905280373069294e+08 1.2661148278868170e+08 1.2448738369066060e+08 1.2264900102999274e+08 1.2107197097563557e+08 1.1972868248236080e+08 1.1859228455485444e+08 1.1764358363633128e+08 1.1685742355690974e+08 1.1621667743369676e+08 1.1570082460965832e+08 1.1529284862053734e+08 1.1496895201223831e+08 1.1470560149394505e+08 1.1448611974700032e+08 1.1429417217163937e+08 1.1411293705410434e+08 1.1398465090135698e+08 1.1385510594503075e+08 1.1372291959180273e+08 1.1358446558995780e+08 1.1344163549603270e+08 1.1329025066358922e+08 1.1313577063987064e+08 1.1296387931418262e+08 1.1277991983548149e+08 1.1258050733947094e+08 1.1236299867699018e+08 1.1212418196431144e+08 1.1186043894983803e+08 1.1156649838527614e+08 1.1124335931364988e+08 1.1087824143530694e+08 1.1046888200922783e+08 1.1000934142920794e+08 1.0949322771143371e+08 1.0891394909196475e+08 1.0826489373288687e+08 1.0753867913988490e+08 1.0673668405904540e+08 1.0584432184283452e+08 1.0486489413856910e+08 1.0380066654388615e+08 1.0265998634418646e+08 1.0145705589683676e+08 1.0021890784764063e+08 9.8985704087578595e+07 9.7823692451259568e+07 9.6815196274219275e+07 9.6090175135733709e+07 9.5829292471764177e+07 9.6295334621256143e+07 9.7870487766644746e+07 1.0113392295498127e+08 1.0700243773316289e+08 1.1702152687055497e+08 2.6873010828386012e+07 +8.8541847282427479e+00 2.8796886269531912e+08 2.8794064443640500e+08 2.8789297930212641e+08 2.8783034061469191e+08 2.8776727517643982e+08 2.8772661212841177e+08 2.8771858624855483e+08 2.8772586811891770e+08 2.8773058693554986e+08 2.8772862420327669e+08 2.8772142362295043e+08 2.8770855745878726e+08 2.8768873917193860e+08 2.8766080310920691e+08 2.8762361134340805e+08 2.8757570206525677e+08 2.8751534224714112e+08 2.8744056880895275e+08 2.8734909317473936e+08 2.8723818152871519e+08 2.8710460840483689e+08 2.8694445232402688e+08 2.8675197226222599e+08 2.8651722956151021e+08 2.8623108186927396e+08 2.8588916826297164e+08 2.8548449172423160e+08 2.8500680979631424e+08 2.8444388866274571e+08 2.8378150092042750e+08 2.8300320162081891e+08 2.8209004414352179e+08 2.8102029192712063e+08 2.7976914627428418e+08 2.7830852621554202e+08 2.7660688663156033e+08 2.7462920698282784e+08 2.7233716848064506e+08 2.6968969179395401e+08 2.6664386785389760e+08 2.6287798682648802e+08 2.5855180359581158e+08 2.5362222764500022e+08 2.4805979234139523e+08 2.4185583765227595e+08 2.3502999650060138e+08 2.2763662428901061e+08 2.1976831775718632e+08 2.1155484806635773e+08 2.0315483900863814e+08 1.9474225579010347e+08 1.8649428572708583e+08 1.7857516762024504e+08 1.7110958767376301e+08 1.6418344889850232e+08 1.5784642552858928e+08 1.5211072973982227e+08 1.4696312517578009e+08 1.4237079616827711e+08 1.3829595400726807e+08 1.3469168518888006e+08 1.3151751438732693e+08 1.2872879692571393e+08 1.2629305201885113e+08 1.2417382633275127e+08 1.2233967721745142e+08 1.2076628903986625e+08 1.1942611184473075e+08 1.1829235508986668e+08 1.1734586715466508e+08 1.1656155113219105e+08 1.1592231719938128e+08 1.1540769176888078e+08 1.1500069562118073e+08 1.1467758568407385e+08 1.1441488349661976e+08 1.1419594817394876e+08 1.1400448230770271e+08 1.1382370472356160e+08 1.1369574331353346e+08 1.1356652657005642e+08 1.1343467524387690e+08 1.1329657220010136e+08 1.1315410417049840e+08 1.1300310329912306e+08 1.1284901424952470e+08 1.1267755865259242e+08 1.1249406549012175e+08 1.1229515847736271e+08 1.1207820116431957e+08 1.1183998980813356e+08 1.1157691532805301e+08 1.1128372004308492e+08 1.1096139943781036e+08 1.1059720703958458e+08 1.1018888522809692e+08 1.0973050945184389e+08 1.0921570392830355e+08 1.0863789360104796e+08 1.0799048339068291e+08 1.0726610971403028e+08 1.0646614683564630e+08 1.0557604645973825e+08 1.0459910127341072e+08 1.0353757113196594e+08 1.0239978216383095e+08 1.0119990072868052e+08 9.9964890955069810e+07 9.8734813122112066e+07 9.7575746244508788e+07 9.6569806267189339e+07 9.5846622826315776e+07 9.5586401622216731e+07 9.6051262576795742e+07 9.7622423260106087e+07 1.0087758683240880e+08 1.0673122737897398e+08 1.1672492117511554e+08 2.6784872995215259e+07 +8.8591530510170067e+00 2.8747809694958919e+08 2.8744992410495770e+08 2.8740233697019267e+08 2.8733979878529751e+08 2.8727682796245104e+08 2.8723621412991673e+08 2.8722817469451857e+08 2.8723541021002352e+08 2.8724007984365284e+08 2.8723807032536680e+08 2.8723082099106264e+08 2.8721790297079003e+08 2.8719802972450602e+08 2.8717003496742129e+08 2.8713277969570184e+08 2.8708480110002816e+08 2.8702436487554914e+08 2.8694950622364289e+08 2.8685793452142018e+08 2.8674691367441088e+08 2.8661321560665983e+08 2.8645291600353700e+08 2.8626027118269581e+08 2.8602533820305037e+08 2.8573896347448647e+08 2.8539677905162084e+08 2.8499178791410863e+08 2.8451374482391638e+08 2.8395041122221434e+08 2.8328755493479508e+08 2.8250872692198664e+08 2.8159497781791973e+08 2.8052457052823788e+08 2.7927270920124227e+08 2.7781132060245776e+08 2.7610887425545591e+08 2.7413037361001098e+08 2.7183753619165486e+08 2.6918933462141883e+08 2.6614293104724893e+08 2.6237669669925886e+08 2.5805058500931698e+08 2.5312168785699302e+08 2.4756075048034638e+08 2.4135934260376480e+08 2.3453732443942246e+08 2.2714924724591431e+08 2.1928783776373154e+08 2.1108289751954168e+08 2.0269296040429622e+08 1.9429177897329515e+08 1.8605621047657019e+08 1.7815008332013446e+08 1.7069767820661297e+08 1.6378452307166651e+08 1.5745997544244552e+08 1.5173602287612772e+08 1.4659928687352988e+08 1.4201688842688841e+08 1.3795101849996677e+08 1.3435479604451948e+08 1.3118778404434581e+08 1.2840540582760881e+08 1.2597522914578004e+08 1.2386086990909988e+08 1.2203094819218268e+08 1.2046119653796364e+08 1.1912412601039882e+08 1.1799300644378071e+08 1.1704872810694396e+08 1.1626625326530041e+08 1.1562852911509739e+08 1.1511512907172830e+08 1.1470911111705784e+08 1.1438678648319092e+08 1.1412473145587271e+08 1.1390634154079409e+08 1.1371535646864536e+08 1.1353503553576842e+08 1.1340739823812981e+08 1.1327850906911413e+08 1.1314699211781736e+08 1.1300923934857441e+08 1.1286713267816648e+08 1.1271651501908073e+08 1.1256281618509336e+08 1.1239179546815459e+08 1.1220876771381657e+08 1.1201036519991469e+08 1.1179395816252041e+08 1.1155635098402831e+08 1.1129394373638020e+08 1.1100149227872901e+08 1.1067998854895031e+08 1.1031671982860546e+08 1.0990943361130729e+08 1.0945222037067492e+08 1.0893872049405584e+08 1.0836237559989718e+08 1.0771660733494779e+08 1.0699407098927532e+08 1.0619613635903791e+08 1.0530829341939817e+08 1.0433382591723555e+08 1.0327498797685182e+08 1.0214008461072081e+08 1.0094324625107211e+08 9.9711368642515972e+07 9.8484410649266243e+07 9.7328282799127862e+07 9.6324894044314593e+07 9.5603544722826853e+07 9.5343983689679638e+07 9.5807665748866618e+07 9.7374841743824244e+07 1.0062174980550018e+08 1.0646054508008407e+08 1.1642889298407535e+08 2.6696999111996856e+07 +8.8641213737912654e+00 2.8698751359680092e+08 2.8695938619478250e+08 2.8691187671037591e+08 2.8684943876506764e+08 2.8678656252134854e+08 2.8674599796744812e+08 2.8673794507381070e+08 2.8674513436628169e+08 2.8674975497547233e+08 2.8674769885587221e+08 2.8674040099161071e+08 2.8672743138334203e+08 2.8670750349746406e+08 2.8667945042687792e+08 2.8664213210122442e+08 2.8659408472428918e+08 2.8653357272812164e+08 2.8645862961403537e+08 2.8636696273297834e+08 2.8625583373656327e+08 2.8612201196827012e+08 2.8596157031123805e+08 2.8576876246941078e+08 2.8553364129327333e+08 2.8524704205284870e+08 2.8490458983438414e+08 2.8449928766050875e+08 2.8402088758671266e+08 2.8345714640772170e+08 2.8279382729001331e+08 2.8201447722738224e+08 2.8110014424700934e+08 2.8002909087575692e+08 2.7877652427356064e+08 2.7731437911859685e+08 2.7561113976094061e+08 2.7363183382318008e+08 2.7133821531866866e+08 2.6868930896906221e+08 2.6564234824286482e+08 2.6187578741961741e+08 2.5754977681540385e+08 2.5262159044062963e+08 2.4706218491184551e+08 2.4086335895730743e+08 2.3404519905674621e+08 2.2666245107342601e+08 2.1880797036256036e+08 2.1061158744555408e+08 2.0223174514063957e+08 1.9384198254725114e+08 1.8561882656692547e+08 1.7772569548177037e+08 1.7028646516300285e+08 1.6338628944532129e+08 1.5707421026200509e+08 1.5136199160982421e+08 1.4623611376389045e+08 1.4166363508332714e+08 1.3760672674134853e+08 1.3401854047148241e+08 1.3085867779558364e+08 1.2808263013590884e+08 1.2565801385630020e+08 1.2354851409626845e+08 1.2172281362264343e+08 1.2015669313164259e+08 1.1882272463591854e+08 1.1769423826874036e+08 1.1675216614252144e+08 1.1597152960313311e+08 1.1533531282614928e+08 1.1482313616281301e+08 1.1441809475212963e+08 1.1409655405376700e+08 1.1383514501602270e+08 1.1361729949220449e+08 1.1342679429958525e+08 1.1324692913637356e+08 1.1311961532117367e+08 1.1299105308859043e+08 1.1285986986035953e+08 1.1272246668266632e+08 1.1258072066675532e+08 1.1243048547165059e+08 1.1227717609508710e+08 1.1210658941009471e+08 1.1192402615633914e+08 1.1172612715737909e+08 1.1151026932270274e+08 1.1127326514368939e+08 1.1101152382751673e+08 1.1071981474581021e+08 1.1039912630145010e+08 1.1003677945800868e+08 1.0963052681564040e+08 1.0917447384402062e+08 1.0866227706860434e+08 1.0808739475041994e+08 1.0744326522948511e+08 1.0672256263152015e+08 1.0592665229774758e+08 1.0504106239302541e+08 1.0406906774426980e+08 1.0301291675607404e+08 1.0188089336589991e+08 1.0068709214877863e+08 9.9458340598625854e+07 9.8234496361544803e+07 9.7081301811329141e+07 9.6080459304903939e+07 9.5360940526679516e+07 9.5102038376465738e+07 9.5564543838513598e+07 9.7127742913870022e+07 1.0036641156005758e+08 1.0619039050401653e+08 1.1613344193389620e+08 2.6609388505620662e+07 +8.8690896965655242e+00 2.8649711225050116e+08 2.8646903354882836e+08 2.8642160177083898e+08 2.8635926331938082e+08 2.8629648175901890e+08 2.8625596654442394e+08 2.8624790028873909e+08 2.8625504349033844e+08 2.8625961523332000e+08 2.8625751269708872e+08 2.8625016652643430e+08 2.8623714559752834e+08 2.8621716339137715e+08 2.8618905238702399e+08 2.8615167145905977e+08 2.8610355583539248e+08 2.8604296870086032e+08 2.8596794187451798e+08 2.8587618070194978e+08 2.8576494460549664e+08 2.8563100037646848e+08 2.8547041813019609e+08 2.8527744900104505e+08 2.8504214170578688e+08 2.8475532047176409e+08 2.8441260347101027e+08 2.8400699381345242e+08 2.8352824092396450e+08 2.8296409704668963e+08 2.8230032079841596e+08 2.8152045533131057e+08 2.8060554620479363e+08 2.7953385571873415e+08 2.7828059421145529e+08 2.7681770444993466e+08 2.7511368579396254e+08 2.7313359022154015e+08 2.7083920840594530e+08 2.6818961731646800e+08 2.6514212184569806e+08 2.6137526129911938e+08 2.5704938121683216e+08 2.5212193747268745e+08 2.4656409756960279e+08 2.4036788848582363e+08 2.3355362194888207e+08 2.2617623717787799e+08 2.1832871676003113e+08 2.1014091884817868e+08 2.0177119402148858e+08 1.9339286712545121e+08 1.8518213443724072e+08 1.7730200439015049e+08 1.6987594869622168e+08 1.6298874806426615e+08 1.5668912994352636e+08 1.5098863582747716e+08 1.4587360567871097e+08 1.4131103592731392e+08 1.3726307848817122e+08 1.3368291820098703e+08 1.3053019535217962e+08 1.2776046954585269e+08 1.2534140583279961e+08 1.2323675856662188e+08 1.2141527317303607e+08 1.1985277847869949e+08 1.1852190737370519e+08 1.1739605021331243e+08 1.1645618090663661e+08 1.1567737978893253e+08 1.1504266797432747e+08 1.1453171268300097e+08 1.1412764616695026e+08 1.1380688803598723e+08 1.1354612381761621e+08 1.1332882166907403e+08 1.1313879544191298e+08 1.1295938516729209e+08 1.1283239420503430e+08 1.1270415827129564e+08 1.1257330811467887e+08 1.1243625384596193e+08 1.1229486778011629e+08 1.1214501430130409e+08 1.1199209362447128e+08 1.1182194012393446e+08 1.1163984046370378e+08 1.1144244399662305e+08 1.1122713429224703e+08 1.1099073193536001e+08 1.1072965525037950e+08 1.1043868709418471e+08 1.1011881234637024e+08 1.0975738557989652e+08 1.0935216449454942e+08 1.0889726952664576e+08 1.0838637330834270e+08 1.0781295071064302e+08 1.0717045673450239e+08 1.0645158430341363e+08 1.0565769431684013e+08 1.0477435304851647e+08 1.0380482642556737e+08 1.0275135714382452e+08 1.0162220810730903e+08 1.0043143810352890e+08 9.9205806508971944e+07 9.7985069948475093e+07 9.6834802974043101e+07 9.5836501745100126e+07 9.5118809936421469e+07 9.4860565381846339e+07 9.5321896543442920e+07 9.6881126463118523e+07 1.0011157177880287e+08 1.0592076331508830e+08 1.1583856765731253e+08 2.6522040504125167e+07 +8.8740580193397829e+00 2.8600689964612353e+08 2.8597886747081560e+08 2.8593151399428403e+08 2.8586927531964707e+08 2.8580658856870455e+08 2.8576612275208098e+08 2.8575804322777742e+08 2.8576514047088534e+08 2.8576966350612086e+08 2.8576751473728865e+08 2.8576012048369825e+08 2.8574704850115752e+08 2.8572701229342061e+08 2.8569884373458004e+08 2.8566140065446490e+08 2.8561321731768757e+08 2.8555255567670488e+08 2.8547744588601696e+08 2.8538559130685019e+08 2.8527424915707058e+08 2.8514018370448798e+08 2.8497946233060730e+08 2.8478633364326280e+08 2.8455084230089110e+08 2.8426380158458787e+08 2.8392082280759704e+08 2.8351490921050042e+08 2.8303580766211927e+08 2.8247126595240068e+08 2.8180703825837070e+08 2.8102666401476938e+08 2.8011118645089000e+08 2.7903886779265356e+08 2.7778492172132170e+08 2.7632129926895219e+08 2.7461651498695117e+08 2.7263564539054060e+08 2.7034051798397934e+08 2.6769026213003603e+08 2.6464225424717736e+08 2.6087512063532740e+08 2.5654940040168282e+08 2.5162273101622096e+08 2.4606649037391737e+08 2.3987293294958198e+08 2.3306259469931349e+08 2.2569060695272982e+08 2.1785007815076917e+08 2.0967089271941784e+08 2.0131130783923221e+08 1.9294443331123462e+08 1.8474613451778346e+08 1.7687901032220325e+08 1.6946612895253527e+08 1.6259189896557859e+08 1.5630473443687439e+08 1.5061595540958476e+08 1.4551176244437164e+08 1.4095909074310887e+08 1.3692007349202624e+08 1.3334792895910081e+08 1.3020233642041728e+08 1.2743892374810734e+08 1.2502540475372532e+08 1.2292560298840368e+08 1.2110832650356086e+08 1.1954945223281442e+08 1.1822167387249790e+08 1.1709844192222844e+08 1.1616077204110076e+08 1.1538380346225737e+08 1.1475059419769180e+08 1.1424085826929983e+08 1.1383776499829163e+08 1.1351778806675817e+08 1.1325766749765481e+08 1.1304090770884165e+08 1.1285135953350194e+08 1.1267240326683681e+08 1.1254573452835789e+08 1.1241782425637734e+08 1.1228730652033804e+08 1.1215060047846733e+08 1.1200957365903749e+08 1.1186010114897579e+08 1.1170756841477405e+08 1.1153784725169648e+08 1.1135621027856314e+08 1.1115931536074841e+08 1.1094455271496177e+08 1.1070875100356910e+08 1.1044833765038979e+08 1.1015810897036791e+08 1.0983904633106157e+08 1.0947853784284821e+08 1.0907434629792377e+08 1.0862060706992015e+08 1.0811100886628588e+08 1.0753904313559885e+08 1.0689818150686114e+08 1.0618113566411397e+08 1.0538926207788685e+08 1.0450816505033188e+08 1.0354110162870660e+08 1.0249030881129763e+08 1.0136402850953116e+08 1.0017628379370995e+08 9.8953766055837959e+07 9.7736131096292779e+07 9.6588785977275163e+07 9.5593021058103919e+07 9.4877152647586823e+07 9.4619564402227417e+07 9.5079723558528170e+07 9.6634992081314355e+07 9.9857230141236886e+07 1.0565166317421950e+08 1.1554426978361790e+08 2.6434954436698664e+07 +8.8790263421140416e+00 2.8551687981884271e+08 2.8548889229157346e+08 2.8544161663400638e+08 2.8537947774006802e+08 2.8531688582721949e+08 2.8527646946961123e+08 2.8526837676633888e+08 2.8527542818337017e+08 2.8527990266918385e+08 2.8527770785160452e+08 2.8527026573808080e+08 2.8525714296802527e+08 2.8523705307692885e+08 2.8520882734190869e+08 2.8517132255898386e+08 2.8512307204157043e+08 2.8506233652468872e+08 2.8498714451590353e+08 2.8489519741339701e+08 2.8478375025416523e+08 2.8464956481211740e+08 2.8448870576789606e+08 2.8429541924730909e+08 2.8405974592468369e+08 2.8377248823171240e+08 2.8342925067646742e+08 2.8302303667478681e+08 2.8254359061398751e+08 2.8197865592477643e+08 2.8131398245492297e+08 2.8053310604479712e+08 2.7961706773169267e+08 2.7854412981897318e+08 2.7728950949590540e+08 2.7582516623438650e+08 2.7411962995842195e+08 2.7213800190173542e+08 2.6984214656915957e+08 2.6719124586197892e+08 2.6414274782478556e+08 2.6037536771218953e+08 2.5604983654550934e+08 2.5112397312138304e+08 2.4556936523181024e+08 2.3937849409560266e+08 2.3257211887931800e+08 2.2520556177952686e+08 2.1737205571786666e+08 2.0920151004026651e+08 2.0085208737654707e+08 1.9249668169871920e+08 1.8431082722969308e+08 1.7645671354619280e+08 1.6905700606956026e+08 1.6219574217982084e+08 1.5592102368522793e+08 1.5024395023034367e+08 1.4515058388142213e+08 1.4060779930962881e+08 1.3657771149957296e+08 1.3301357246739385e+08 1.2987510070214395e+08 1.2711799242890489e+08 1.2471001029276523e+08 1.2261504702572113e+08 1.2080197327033617e+08 1.1924671404382439e+08 1.1792202377700655e+08 1.1680141303631413e+08 1.1586593918374363e+08 1.1509080025883071e+08 1.1445909113057882e+08 1.1395057255549507e+08 1.1354845087936969e+08 1.1322925377904537e+08 1.1296977568950054e+08 1.1275355724530986e+08 1.1256448620861901e+08 1.1238598306989749e+08 1.1225963592648023e+08 1.1213205067931513e+08 1.1200186471336941e+08 1.1186550621658134e+08 1.1172483794016565e+08 1.1157574565209427e+08 1.1142360010382025e+08 1.1125431043178503e+08 1.1107313523987338e+08 1.1087674088942206e+08 1.1066252423130739e+08 1.1042732198964728e+08 1.1016757066969359e+08 1.0987808001719101e+08 1.0955982789945489e+08 1.0920023589199629e+08 1.0879707187215041e+08 1.0834448612171645e+08 1.0783618339195357e+08 1.0726567167656097e+08 1.0662643920019077e+08 1.0591121636940983e+08 1.0512135523938626e+08 1.0424249805979428e+08 1.0327789301808244e+08 1.0222977142617393e+08 1.0110635424410063e+08 9.9921628894561499e+07 9.8702218918505937e+07 9.7487679488112733e+07 9.6343250507965401e+07 9.5350016933973536e+07 9.4635968352512136e+07 9.4379035130755544e+07 9.4838024575605646e+07 9.6389339455275685e+07 9.9603386323495954e+07 1.0538308973890093e+08 1.1525054793801406e+08 2.6348129633680247e+07 +8.8839946648883004e+00 2.8502704974827385e+08 2.8499911083578956e+08 2.8495191285169834e+08 2.8488987355277997e+08 2.8482737639529979e+08 2.8478700956297845e+08 2.8477890376608372e+08 2.8478590948930424e+08 2.8479033558418071e+08 2.8478809490131259e+08 2.8478060515057194e+08 2.8476743185903591e+08 2.8474728860222918e+08 2.8471900606842828e+08 2.8468144003102183e+08 2.8463312286420602e+08 2.8457231410027450e+08 2.8449704061770821e+08 2.8440500187275589e+08 2.8429345074594808e+08 2.8415914654543656e+08 2.8399815128483546e+08 2.8380470865185595e+08 2.8356885541039318e+08 2.8328138323966491e+08 2.8293788989652073e+08 2.8253137901598400e+08 2.8205159257827312e+08 2.8148626975019449e+08 2.8082115615917349e+08 2.8003978417488927e+08 2.7912319277993792e+08 2.7804964450599211e+08 2.7679436021428043e+08 2.7532930799091667e+08 2.7362303331353366e+08 2.7164066231298268e+08 2.6934409666436249e+08 2.6669257095089003e+08 2.6364360494217882e+08 2.5987600479996601e+08 2.5555069180999333e+08 2.5062566582414719e+08 2.4507272403725111e+08 2.3888457365763983e+08 2.3208219604704732e+08 2.2472110302743590e+08 2.1689465063237336e+08 2.0873277178048941e+08 2.0039353340511948e+08 1.9204961287149081e+08 1.8387621298439890e+08 1.7603511432215324e+08 1.6864858017798525e+08 1.6180027772983474e+08 1.5553799762523517e+08 1.4987262015806547e+08 1.4479006980464113e+08 1.4025716140043485e+08 1.3623599225226447e+08 1.3267984844250952e+08 1.2954848789458559e+08 1.2679767527035402e+08 1.2439522211984907e+08 1.2230509033850841e+08 1.2049621312567030e+08 1.1894456355779886e+08 1.1762295672833559e+08 1.1650496319272678e+08 1.1557168196885423e+08 1.1479836981081353e+08 1.1416815840375096e+08 1.1366085517126003e+08 1.1325970343964495e+08 1.1294128480261345e+08 1.1268244802301362e+08 1.1246676990865561e+08 1.1227817509787861e+08 1.1210012420758475e+08 1.1197409803089400e+08 1.1184683717217930e+08 1.1171698232621743e+08 1.1158097069325215e+08 1.1144066025697859e+08 1.1129194744456030e+08 1.1114018832597809e+08 1.1097132929902147e+08 1.1079061498311785e+08 1.1059472021886250e+08 1.1038104847809719e+08 1.1014644453095242e+08 1.0988735394660223e+08 1.0959859987416096e+08 1.0928115669204253e+08 1.0892247936897522e+08 1.0852034086013810e+08 1.0806890632650203e+08 1.0756189653154628e+08 1.0699283598158644e+08 1.0635522946443778e+08 1.0564182607185565e+08 1.0485397345633744e+08 1.0397735173473336e+08 1.0301520025467168e+08 1.0196974465292491e+08 1.0084918497910555e+08 9.9667473078293189e+07 9.8451164773132280e+07 9.7239714804095611e+07 9.6098196249842286e+07 9.5107489059906095e+07 9.4395256740697801e+07 9.4138977257816762e+07 9.4596799283425197e+07 9.6144168268713325e+07 9.9350039998842552e+07 1.0511504266327405e+08 1.1495740174245831e+08 2.6261565426560879e+07 +8.8889629876625591e+00 2.8453741947512829e+08 2.8450952505334562e+08 2.8446240521105742e+08 2.8440046562266165e+08 2.8433806311978149e+08 2.8429774588451910e+08 2.8428962707592303e+08 2.8429658723698306e+08 2.8430096509909970e+08 2.8429867873460108e+08 2.8429114156865168e+08 2.8427791802098626e+08 2.8425772171547735e+08 2.8422938275951397e+08 2.8419175591527051e+08 2.8414337262904775e+08 2.8408249124546152e+08 2.8400713703236264e+08 2.8391500752320427e+08 2.8380335346784335e+08 2.8366893173682326e+08 2.8350780171040022e+08 2.8331420468099523e+08 2.8307817357709587e+08 2.8279048942133516e+08 2.8244674327313495e+08 2.8203993903026265e+08 2.8155981634036732e+08 2.8099411020118827e+08 2.8032856212886006e+08 2.7954670114504570e+08 2.7862956431437904e+08 2.7755541454791290e+08 2.7629947654177845e+08 2.7483372717003685e+08 2.7312672764316344e+08 2.7114362916862208e+08 2.6884637075891775e+08 2.6619423982198992e+08 2.6314482794993502e+08 2.5937703415563992e+08 2.5505196834284952e+08 2.5012781114759994e+08 2.4457656867048171e+08 2.3839117335712200e+08 2.3159282774799740e+08 2.2423723205351478e+08 2.1641786405367485e+08 2.0826467889913371e+08 1.9993564668635902e+08 1.9160322740363550e+08 1.8344229218503237e+08 1.7561421290176135e+08 1.6824085140044472e+08 1.6140550563170928e+08 1.5515565618702474e+08 1.4950196505494010e+08 1.4443022002344555e+08 1.3990717678359517e+08 1.3589491548674294e+08 1.3234675659653585e+08 1.2922249769041914e+08 1.2647797194986704e+08 1.2408103990046506e+08 1.2199573258259055e+08 1.2019104571770139e+08 1.1864300041661908e+08 1.1732447236359008e+08 1.1620909202482653e+08 1.1527800002688673e+08 1.1450651174665995e+08 1.1387779564426795e+08 1.1337170574307692e+08 1.1297152230514868e+08 1.1265388076334172e+08 1.1239568412444590e+08 1.1218054532558587e+08 1.1199242582853322e+08 1.1181482630751330e+08 1.1168912046972199e+08 1.1156218336366452e+08 1.1143265898782600e+08 1.1129699353783938e+08 1.1115704023929065e+08 1.1100870615679209e+08 1.1085733271204001e+08 1.1068890348492247e+08 1.1050864914038549e+08 1.1031325298161885e+08 1.1010012508874433e+08 1.0986611826190388e+08 1.0960768711631335e+08 1.0931966817718774e+08 1.0900303234577934e+08 1.0864526791198814e+08 1.0824415290156175e+08 1.0779386732535537e+08 1.0728814792763931e+08 1.0672053569522634e+08 1.0608455194637667e+08 1.0537296442035736e+08 1.0458711638053232e+08 1.0371272572976653e+08 1.0275302299647430e+08 1.0171022815299761e+08 1.0059252037964027e+08 9.9413816013692260e+07 9.8200603292609960e+07 9.6992236721260473e+07 9.5853622883789629e+07 9.4865437119991243e+07 9.4155017498604506e+07 9.3899390470663980e+07 9.4356047367790982e+07 9.5899478202258959e+07 9.9097190837303355e+07 1.0484752159831822e+08 1.1466483081498729e+08 2.6175261147984326e+07 +8.8939313104368178e+00 2.8404798449005836e+08 2.8402013828254986e+08 2.8397309645356518e+08 2.8391125671212989e+08 2.8384894883620000e+08 2.8380868127248281e+08 2.8380054953016865e+08 2.8380746426147133e+08 2.8381179404889679e+08 2.8380946218573987e+08 2.8380187782620758e+08 2.8378860428761923e+08 2.8376835524974370e+08 2.8373996024754667e+08 2.8370227304285306e+08 2.8365382416614199e+08 2.8359287078899926e+08 2.8351743658589947e+08 2.8342521718964791e+08 2.8331346124215806e+08 2.8317892320539325e+08 2.8301765985974437e+08 2.8282391014629656e+08 2.8258770323092830e+08 2.8229980957597178e+08 2.8195581359783590e+08 2.8154871950020421e+08 2.8106826467228574e+08 2.8050218003681642e+08 2.7983620310794032e+08 2.7905385968164736e+08 2.7813618504069757e+08 2.7706144262566692e+08 2.7580486113027823e+08 2.7433842638932896e+08 2.7263071552486628e+08 2.7064690499917406e+08 2.6834897132821381e+08 2.6569625488614941e+08 2.6264641918427983e+08 2.5887845802217320e+08 2.5455366827900806e+08 2.4963041110151419e+08 2.4408090099929920e+08 2.3789829490211266e+08 2.3110401551537299e+08 2.2375395020263836e+08 2.1594169712972778e+08 2.0779723234338319e+08 1.9947842797116750e+08 1.9115752585975829e+08 1.8300906522537601e+08 1.7519400952835298e+08 1.6783381985199851e+08 1.6101142589435375e+08 1.5477399929412532e+08 1.4913198477712756e+08 1.4407103434136578e+08 1.3955784522237086e+08 1.3555448093449819e+08 1.3201429663638929e+08 1.2889712977784061e+08 1.2615888214067735e+08 1.2376746329569855e+08 1.2168697340999787e+08 1.1988647069069973e+08 1.1834202425859118e+08 1.1702657031617039e+08 1.1591379916230792e+08 1.1498489298466423e+08 1.1421522569125414e+08 1.1358800247565863e+08 1.1308312389360224e+08 1.1268390709834358e+08 1.1236704128367671e+08 1.1210948361650087e+08 1.1189488311922196e+08 1.1170723802408198e+08 1.1153008899406444e+08 1.1140470286752559e+08 1.1127808887858734e+08 1.1114889432370093e+08 1.1101357437641570e+08 1.1087397751354456e+08 1.1072602141551693e+08 1.1057503288944803e+08 1.1040703261735588e+08 1.1022723734019291e+08 1.1003233880701016e+08 1.0981975369318582e+08 1.0958634281305023e+08 1.0932856981023940e+08 1.0904128455891894e+08 1.0872545449445494e+08 1.0836860115580416e+08 1.0796850763249911e+08 1.0751936875592186e+08 1.0701493721985991e+08 1.0644877045891790e+08 1.0581440628950788e+08 1.0510463106096447e+08 1.0432078366030370e+08 1.0344861969649112e+08 1.0249136089797124e+08 1.0145122158433747e+08 1.0033636010757095e+08 9.9160657366830513e+07 9.7950534146989390e+07 9.6745244913668454e+07 9.5609530087599844e+07 9.4623860795294940e+07 9.3915250309691280e+07 9.3660274453726128e+07 9.4115768511542290e+07 9.5655268933588848e+07 9.8844838505776763e+07 1.0458052619152838e+08 1.1437283477029522e+08 2.6089216131748304e+07 +8.8988996332110766e+00 2.8355875474788499e+08 2.8353095385044307e+08 2.8348398934698206e+08 2.8342224955273890e+08 2.8336003637068474e+08 2.8331981854859257e+08 2.8331167395058048e+08 2.8331854338375992e+08 2.8332282525458121e+08 2.8332044807576907e+08 2.8331281674381143e+08 2.8329949347883707e+08 2.8327919202453119e+08 2.8325074135129714e+08 2.8321299423143250e+08 2.8316448029174453e+08 2.8310345554564083e+08 2.8302794209189314e+08 2.8293563368297696e+08 2.8282377687746161e+08 2.8268912375697446e+08 2.8252772853518319e+08 2.8233382784494293e+08 2.8209744716418725e+08 2.8180934648992455e+08 2.8146510364910537e+08 2.8105772319512177e+08 2.8057694033218729e+08 2.8001048200285637e+08 2.7934408182706434e+08 2.7856126249731165e+08 2.7764305765054029e+08 2.7656773140637541e+08 2.7531051661791164e+08 2.7384340825266087e+08 2.7213499952293587e+08 2.7015049232165414e+08 2.6785190083445564e+08 2.6519861854143545e+08 2.6214838096870613e+08 2.5838027862935877e+08 2.5405579373952103e+08 2.4913346768190789e+08 2.4358572287781894e+08 2.3740593998772413e+08 2.3061576086962900e+08 2.2327125880744544e+08 2.1546615099651408e+08 2.0733043305001545e+08 1.9902187800007594e+08 1.9071250879428381e+08 1.8257653249011219e+08 1.7477450443686488e+08 1.6742748563993147e+08 1.6061803852009970e+08 1.5439302686369371e+08 1.4876267917484644e+08 1.4371251255652297e+08 1.3920916647438586e+08 1.3521468832218692e+08 1.3168246826479454e+08 1.2857238384050432e+08 1.2584040551160379e+08 1.2345449196306255e+08 1.2137881246837492e+08 1.1958248768502425e+08 1.1804163471800682e+08 1.1672925021569324e+08 1.1561908423112656e+08 1.1469236046537685e+08 1.1392451126567230e+08 1.1329877851781930e+08 1.1279510924213572e+08 1.1239685743801944e+08 1.1208076598256369e+08 1.1182384611845797e+08 1.1160978290916084e+08 1.1142261130477187e+08 1.1124591188785976e+08 1.1112084484554179e+08 1.1099455333851902e+08 1.1086568795579261e+08 1.1073071283114195e+08 1.1059147170267504e+08 1.1044389284427929e+08 1.1029328848218188e+08 1.1012571632093151e+08 1.0994637920769104e+08 1.0975197732076159e+08 1.0953993391785049e+08 1.0930711781174628e+08 1.0905000165665981e+08 1.0876344864846043e+08 1.0844842276811121e+08 1.0809247873195742e+08 1.0769340468581845e+08 1.0724541025260231e+08 1.0674226404404975e+08 1.0617753991047059e+08 1.0554479213389839e+08 1.0483682563610147e+08 1.0405497494097617e+08 1.0318503328287219e+08 1.0223021361065133e+08 1.0119272460199474e+08 1.0008070382166642e+08 9.8907996800295576e+07 9.7700957003068253e+07 9.6498739052205354e+07 9.5365917536105618e+07 9.4382759763959423e+07 9.3675954854632273e+07 9.3421628888478607e+07 9.3875962394560382e+07 9.5411540137392014e+07 9.8592982668090090e+07 1.0431405608731580e+08 1.1408141321928842e+08 2.6003429712805245e+07 +8.9038679559853353e+00 2.8306972786178124e+08 2.8304197443622243e+08 2.8299508714320445e+08 2.8293344691361409e+08 2.8287132853906220e+08 2.8283116051937813e+08 2.8282300314471114e+08 2.8282982741217738e+08 2.8283406152383941e+08 2.8283163921224064e+08 2.8282396112900424e+08 2.8281058840130985e+08 2.8279023484573400e+08 2.8276172887594575e+08 2.8272392228535485e+08 2.8267534380918711e+08 2.8261424831731266e+08 2.8253865635026258e+08 2.8244625980093044e+08 2.8233430316875267e+08 2.8219953618340325e+08 2.8203801052491093e+08 2.8184396056124836e+08 2.8160740815542197e+08 2.8131910293502241e+08 2.8097461619129372e+08 2.8056695287044549e+08 2.8008584606506354e+08 2.7951901883110839e+08 2.7885220100314528e+08 2.7806891229143453e+08 2.7715018482243878e+08 2.7607428354350740e+08 2.7481644562902498e+08 2.7334867535096771e+08 2.7163958218779153e+08 2.6965439363939542e+08 2.6735516172575080e+08 2.6470133317196897e+08 2.6165071561238998e+08 2.5788249819344315e+08 2.5355834683220920e+08 2.4863698287196645e+08 2.4309103614713386e+08 2.3691411029660186e+08 2.3012806531873876e+08 2.2278915918832362e+08 2.1499122677876443e+08 2.0686428194471025e+08 1.9856599750350064e+08 1.9026817675263840e+08 1.8214469435533780e+08 1.7435569785418609e+08 1.6702184886427554e+08 1.6022534350376102e+08 1.5401273880646607e+08 1.4839404809222013e+08 1.4335465446131715e+08 1.3886114029225928e+08 1.3487553737163952e+08 1.3135127117965625e+08 1.2824825955773664e+08 1.2552254172744097e+08 1.2314212555534796e+08 1.2107124940162440e+08 1.1927909633706510e+08 1.1774183142540023e+08 1.1643251168800469e+08 1.1532494685356675e+08 1.1440040208863899e+08 1.1363436808779089e+08 1.1301012338723829e+08 1.1250766140428889e+08 1.1211037293965764e+08 1.1179505447539580e+08 1.1153877124607137e+08 1.1132524431180277e+08 1.1113854528730814e+08 1.1096229460610326e+08 1.1083754602131082e+08 1.1071157636158402e+08 1.1058303950250882e+08 1.1044840852122580e+08 1.1030952242603040e+08 1.1016232006302036e+08 1.1001209911054964e+08 1.0984495421658961e+08 1.0966607436447082e+08 1.0947216814525643e+08 1.0926066538580602e+08 1.0902844288186724e+08 1.0877198228030857e+08 1.0848616007160330e+08 1.0817193679357387e+08 1.0781690026837695e+08 1.0741884369090939e+08 1.0697199144620757e+08 1.0647012803288335e+08 1.0590684368458165e+08 1.0527570911639041e+08 1.0456954778512228e+08 1.0378968986439076e+08 1.0292196613390940e+08 1.0196958078272296e+08 1.0093473685783294e+08 9.9825551177497074e+07 9.8655833973749891e+07 9.7451871524659410e+07 9.6252718804795787e+07 9.5122784901167750e+07 9.4142133701391518e+07 9.3437130810998842e+07 9.3183453453382418e+07 9.3636628693927452e+07 9.5168291485311717e+07 9.8341622985058859e+07 1.0404811092661165e+08 1.1379056576941490e+08 2.5917901227263417e+07 +8.9088362787595941e+00 2.8258090870951784e+08 2.8255320214706403e+08 2.8250639256091660e+08 2.8244485164533257e+08 2.8238282814626944e+08 2.8234270997625357e+08 2.8233453990700525e+08 2.8234131914132446e+08 2.8234550565117252e+08 2.8234303838915294e+08 2.8233531377536297e+08 2.8232189184846205e+08 2.8230148650617337e+08 2.8227292561304480e+08 2.8223505999545830e+08 2.8218641750809133e+08 2.8212525189191097e+08 2.8204958214719433e+08 2.8195709832789618e+08 2.8184504289789879e+08 2.8171016326332480e+08 2.8154850860393876e+08 2.8135431106585020e+08 2.8111758897033340e+08 2.8082908167089003e+08 2.8048435397605252e+08 2.8007641126847357e+08 2.7959498460198969e+08 2.7902779324044901e+08 2.7836056333975983e+08 2.7757681174959064e+08 2.7665756922097075e+08 2.7558110167749560e+08 2.7432265077507144e+08 2.7285423026076931e+08 2.7114446605598044e+08 2.6915861144218892e+08 2.6685875643723255e+08 2.6420440114820758e+08 2.6115342541170725e+08 2.5738511891683349e+08 2.5306132965120757e+08 2.4814095864143887e+08 2.4259684263568828e+08 2.3642280749822918e+08 2.2964093035823992e+08 2.2230765265433368e+08 2.1451692558937925e+08 2.0639877994187200e+08 1.9811078720099247e+08 1.8982453026990056e+08 1.8171355118812314e+08 1.7393758999904445e+08 1.6661690961725393e+08 1.5983334083357081e+08 1.5363313502674437e+08 1.4802609136771491e+08 1.4299745984283772e+08 1.3851376642326352e+08 1.3453702779958767e+08 1.3102070507395782e+08 1.2792475660411708e+08 1.2520529044830771e+08 1.2283036372156204e+08 1.2076428384945993e+08 1.1897629627942623e+08 1.1744261400761145e+08 1.1613635435540149e+08 1.1503138664821887e+08 1.1410901747041108e+08 1.1334479577153765e+08 1.1272203669656451e+08 1.1222077999221390e+08 1.1182445321522829e+08 1.1150990637423155e+08 1.1125425861150236e+08 1.1104126693962052e+08 1.1085503958492413e+08 1.1067923676256262e+08 1.1055480600901984e+08 1.1042915756234680e+08 1.1030094857904588e+08 1.1016666106213504e+08 1.1002812929968362e+08 1.0988130268824755e+08 1.0973146439170942e+08 1.0956474592203012e+08 1.0938632242888507e+08 1.0919291089936675e+08 1.0898194771684600e+08 1.0875031764384587e+08 1.0849451130249834e+08 1.0820941845072947e+08 1.0789599619440292e+08 1.0754186538986088e+08 1.0714482427380712e+08 1.0669911196448103e+08 1.0619852881596109e+08 1.0563668141263624e+08 1.0500715687053235e+08 1.0430279714396812e+08 1.0352492806923424e+08 1.0265941789131661e+08 1.0170946205924267e+08 1.0067725800038394e+08 9.9570901827654213e+07 9.8404168543924227e+07 9.7203277372532934e+07 9.6007183836588636e+07 9.4880131851605251e+07 9.3901982279629275e+07 9.3198777853620410e+07 9.2945747824182153e+07 9.3397767083603486e+07 9.4925522646172836e+07 9.8090759114175752e+07 1.0378269034740058e+08 1.1350029202457032e+08 2.5832630012387723e+07 +8.9138046015338528e+00 2.8209230156393504e+08 2.8206464009407395e+08 2.8201790821471721e+08 2.8195646662679529e+08 2.8189453798437428e+08 2.8185446969529378e+08 2.8184628701811570e+08 2.8185302135290498e+08 2.8185716041751617e+08 2.8185464838738328e+08 2.8184687746301883e+08 2.8183340659992540e+08 2.8181294978502476e+08 2.8178433434126204e+08 2.8174641013911164e+08 2.8169770416477251e+08 2.8163646904450077e+08 2.8156072225602120e+08 2.8146815203462267e+08 2.8135599883298755e+08 2.8122100776204479e+08 2.8105922553421187e+08 2.8086488211623919e+08 2.8062799236076915e+08 2.8033928544274372e+08 2.7999431974132431e+08 2.7958610111791104e+08 2.7910435866117519e+08 2.7853680793574411e+08 2.7786917152679729e+08 2.7708496354435408e+08 2.7616521349766046e+08 2.7508818843458456e+08 2.7382913465358019e+08 2.7236007554562360e+08 2.7064965365071625e+08 2.6866314820625776e+08 2.6636268738987228e+08 2.6370782482772204e+08 2.6065651264874208e+08 2.5688814298893416e+08 2.5256474427794057e+08 2.4764539694696820e+08 2.4210314415853733e+08 2.3593203324963781e+08 2.2915435747120818e+08 2.2182674050163996e+08 2.1404324852987945e+08 2.0593392794555554e+08 1.9765624780241117e+08 1.8938156987229198e+08 1.8128310334653530e+08 1.7352018108191812e+08 1.6621266798393211e+08 1.5944203049065813e+08 1.5325421542256287e+08 1.4765880883368245e+08 1.4264092848251882e+08 1.3816704460973001e+08 1.3419915931792699e+08 1.3069076963646719e+08 1.2760187465015316e+08 1.2488865133057851e+08 1.2251920610650700e+08 1.2045791544781418e+08 1.1867408714080937e+08 1.1714398208749369e+08 1.1584077783623585e+08 1.1473840323011790e+08 1.1381820622298984e+08 1.1305579392751850e+08 1.1243451805537859e+08 1.1193446461457458e+08 1.1153909787309521e+08 1.1122532128756942e+08 1.1097030782366438e+08 1.1075785040203613e+08 1.1057209380727319e+08 1.1039673796763203e+08 1.1027262441946746e+08 1.1014729655209918e+08 1.1001941479709323e+08 1.0988547006604461e+08 1.0974729193640651e+08 1.0960084033326818e+08 1.0945138393933919e+08 1.0928509105147150e+08 1.0910712301578362e+08 1.0891420519878592e+08 1.0870378052716011e+08 1.0847274171489023e+08 1.0821758834135742e+08 1.0793322340482032e+08 1.0762060059068829e+08 1.0726737371776377e+08 1.0687134605734386e+08 1.0642677143184830e+08 1.0592746601925789e+08 1.0536705272268048e+08 1.0473913502658321e+08 1.0403657334552418e+08 1.0326068919116695e+08 1.0239738819373594e+08 1.0144985708214460e+08 1.0042028767536512e+08 9.9316755421471909e+07 9.8153000164225534e+07 9.6955174204507500e+07 9.5762133809379309e+07 9.4637958053452462e+07 9.3662305168320239e+07 9.2960895654393554e+07 9.2708511673624426e+07 9.3159377234885305e+07 9.4683233285669297e+07 9.7840390710329458e+07 1.0351779398422658e+08 1.1321059158515233e+08 2.5747615406600684e+07 +8.9187729243081115e+00 2.8160390601235795e+08 2.8157629045007575e+08 2.8152963678313076e+08 2.8146829467062360e+08 2.8140646082916117e+08 2.8136644243883097e+08 2.8135824724579996e+08 2.8136493681478602e+08 2.8136902859040189e+08 2.8136647197421283e+08 2.8135865495902258e+08 2.8134513542226779e+08 2.8132462744817656e+08 2.8129595782557392e+08 2.8125797548052800e+08 2.8120920654175305e+08 2.8114790253645366e+08 2.8107207943618441e+08 2.8097942367865133e+08 2.8086717372927147e+08 2.8073207243149424e+08 2.8057016406348634e+08 2.8037567645580500e+08 2.8013862106559217e+08 2.7984971698280358e+08 2.7950451621127194e+08 2.7909602513389438e+08 2.7861397094691008e+08 2.7804606560885435e+08 2.7737802824105352e+08 2.7659337033402866e+08 2.7567312029014635e+08 2.7459554642832708e+08 2.7333589984843296e+08 2.7186621375528765e+08 2.7015514748220265e+08 2.6816800639458027e+08 2.6586695699148223e+08 2.6321160655352184e+08 2.6015997959290907e+08 2.5639157258602062e+08 2.5206859278001717e+08 2.4715029973198408e+08 2.4160994251787147e+08 2.3544178919481751e+08 2.2866834812835574e+08 2.2134642401491600e+08 2.1357019669038478e+08 2.0546972684823835e+08 1.9720238000708944e+08 1.8893929607609171e+08 1.8085335118012151e+08 1.7310347130516905e+08 1.6580912404151073e+08 1.5905141244960561e+08 1.5287597988580209e+08 1.4729220031675711e+08 1.4228506015648273e+08 1.3782097458877820e+08 1.3386193163396266e+08 1.3036146455122289e+08 1.2727961336197579e+08 1.2457262402602334e+08 1.2220865235100411e+08 1.2015214382861161e+08 1.1837246854603392e+08 1.1684593528443326e+08 1.1554578174534541e+08 1.1444599621075395e+08 1.1352796795533361e+08 1.1276736216277230e+08 1.1214756706942788e+08 1.1164871487673698e+08 1.1125430651819272e+08 1.1094129882044572e+08 1.1068691848799413e+08 1.1047499430488436e+08 1.1028970756088808e+08 1.1011479782826689e+08 1.0999100086008039e+08 1.0986599293871473e+08 1.0973843776483212e+08 1.0960483514175093e+08 1.0946700994532052e+08 1.0932093260771132e+08 1.0917185736375089e+08 1.0900598921599440e+08 1.0882847573664694e+08 1.0863605065567815e+08 1.0842616342985594e+08 1.0819571470891215e+08 1.0794121301159288e+08 1.0765757454963528e+08 1.0734574959930064e+08 1.0699342487015545e+08 1.0659840866100332e+08 1.0615496946927118e+08 1.0565693926566729e+08 1.0509795723968114e+08 1.0447164321175799e+08 1.0377087601925968e+08 1.0299697286241497e+08 1.0213587667643075e+08 1.0119076549013107e+08 1.0016382552510498e+08 9.9063111605537608e+07 9.7902328485249713e+07 9.6707561675479874e+07 9.5517568382322848e+07 9.4396263169684738e+07 9.3423102033834264e+07 9.2723483882203609e+07 9.2471744671596840e+07 9.2921458815969169e+07 9.4441423066762835e+07 9.7590517424976394e+07 1.0325342146857929e+08 1.1292146404812178e+08 2.5662856749483269e+07 +8.9237412470823703e+00 2.8111572532052064e+08 2.8108815790648222e+08 2.8104158080432433e+08 2.8098033851965439e+08 2.8091859943925166e+08 2.8087863095734155e+08 2.8087042334400392e+08 2.8087706828191513e+08 2.8088111292416507e+08 2.8087851190379483e+08 2.8087064901719666e+08 2.8085708106870270e+08 2.8083652224809134e+08 2.8080779881793863e+08 2.8076975877028358e+08 2.8072092738909990e+08 2.8065955511559582e+08 2.8058365643380260e+08 2.8049091600421441e+08 2.8037857032821435e+08 2.8024336001012129e+08 2.8008132692690814e+08 2.7988669681545693e+08 2.7964947780963689e+08 2.7936037901016939e+08 2.7901494609695166e+08 2.7860618601832128e+08 2.7812382415033835e+08 2.7755556893797874e+08 2.7688713614581162e+08 2.7610203476448220e+08 2.7518129222286332e+08 2.7410317825815141e+08 2.7284294893021369e+08 2.7137264742675871e+08 2.6966095004649419e+08 2.6767318845621175e+08 2.6537156763647538e+08 2.6271574865615538e+08 2.5966382849971205e+08 2.5589540987036860e+08 2.5157287721191788e+08 2.4665566892646900e+08 2.4111723950271493e+08 2.3495207696550685e+08 2.2818290378810728e+08 2.2086670446672139e+08 2.1309777114982298e+08 2.0500617753240100e+08 1.9674918450437468e+08 1.8849770938823932e+08 1.8042429502926525e+08 1.7268746086300904e+08 1.6540627786007339e+08 1.5866148667781043e+08 1.5249842830153605e+08 1.4692626563765383e+08 1.4192985463530818e+08 1.3747555609241074e+08 1.3352534445000188e+08 1.3003278949756064e+08 1.2695797240109241e+08 1.2425720818251674e+08 1.2189870209174924e+08 1.1984696861984028e+08 1.1807144011617011e+08 1.1654847321385187e+08 1.1525136569399552e+08 1.1415416519783191e+08 1.1323830227265075e+08 1.1247950008079629e+08 1.1186118334110448e+08 1.1136353038030340e+08 1.1097007875225903e+08 1.1065783857458103e+08 1.1040409020647529e+08 1.1019269825064096e+08 1.1000788044870369e+08 1.0983341594808279e+08 1.0970993493486449e+08 1.0958524632649714e+08 1.0945801708730525e+08 1.0932475589454752e+08 1.0918728293233670e+08 1.0904157911806583e+08 1.0889288427199388e+08 1.0872744002290550e+08 1.0855038019978331e+08 1.0835844687888500e+08 1.0814909603441589e+08 1.0791923623610109e+08 1.0766538492457725e+08 1.0738247149767081e+08 1.0707144283373097e+08 1.0672001846192513e+08 1.0632601170110485e+08 1.0588370569456829e+08 1.0538694817477210e+08 1.0482939458514658e+08 1.0420468104985882e+08 1.0350570479172128e+08 1.0273377871228032e+08 1.0187488297189750e+08 1.0093218691906513e+08 9.9907871188971072e+07 9.8809970023027912e+07 9.7652153154589549e+07 9.6460439437082529e+07 9.5273487211557731e+07 9.4155046860531121e+07 9.3184372539923161e+07 9.2486542203358486e+07 9.2235446485206962e+07 9.2684011492389947e+07 9.4200091649414748e+07 9.7341138906872123e+07 1.0298957242867148e+08 1.1263290900695670e+08 2.5578353381775804e+07 +8.9287095698566290e+00 2.8062776535843664e+08 2.8060024283060533e+08 2.8055374314084685e+08 2.8049260089379996e+08 2.8043095655381644e+08 2.8039103798913050e+08 2.8038281805399281e+08 2.8038941849595082e+08 2.8039341615935737e+08 2.8039077091664267e+08 2.8038286237764102e+08 2.8036924627900022e+08 2.8034863692394215e+08 2.8031986005671394e+08 2.8028176274594194e+08 2.8023286944255209e+08 2.8017142951689327e+08 2.8009545598214370e+08 2.8000263174205106e+08 2.7989019135800040e+08 2.7975487322331715e+08 2.7959271684610134e+08 2.7939794591242433e+08 2.7916056530511612e+08 2.7887127422975969e+08 2.7852561209635454e+08 2.7811658646003032e+08 2.7763392094916183e+08 2.7706532058806801e+08 2.7639649789039958e+08 2.7561095946741158e+08 2.7468973190685230e+08 2.7361108651049942e+08 2.7235028445642507e+08 2.7087937908247042e+08 2.6916706382655370e+08 2.6717869682749316e+08 2.6487652170583925e+08 2.6222025345245519e+08 2.5916806161149967e+08 2.5539965699115187e+08 2.5107759961493915e+08 2.4616150644795245e+08 2.4062503688962522e+08 2.3446289818025193e+08 2.2769802589647326e+08 2.2038758311794600e+08 2.1262597297503290e+08 2.0454328086864361e+08 1.9629666197357783e+08 1.8805681030614835e+08 1.7999593522592378e+08 1.7227214994192368e+08 1.6500412950232810e+08 1.5827225313624513e+08 1.5212156054901680e+08 1.4656100461134627e+08 1.4157531168423772e+08 1.3713078884770349e+08 1.3318939746355528e+08 1.2970474415044864e+08 1.2663695142490262e+08 1.2394240344342473e+08 1.2158935496153285e+08 1.1954238944555014e+08 1.1777100146868232e+08 1.1625159548766291e+08 1.1495752928959355e+08 1.1386290979559033e+08 1.1294920877678511e+08 1.1219220728161800e+08 1.1157536646936956e+08 1.1107891072378720e+08 1.1068641417334226e+08 1.1037494014818808e+08 1.1012182257777402e+08 1.0991096183841100e+08 1.0972661207041828e+08 1.0955259192718188e+08 1.0942942624448825e+08 1.0930505631673823e+08 1.0917815236610468e+08 1.0904523192660031e+08 1.0890811050009413e+08 1.0876277946751463e+08 1.0861446426745102e+08 1.0844944307648177e+08 1.0827283601003690e+08 1.0808139347401032e+08 1.0787257794737862e+08 1.0764330590385862e+08 1.0739010368846644e+08 1.0710791385804023e+08 1.0679767990419301e+08 1.0644715410444249e+08 1.0605415479038499e+08 1.0561297972241823e+08 1.0511749236298209e+08 1.0456136437755816e+08 1.0393824816163853e+08 1.0324105928609517e+08 1.0247110636665455e+08 1.0161440670918615e+08 1.0067412100145660e+08 9.9652424303409100e+07 9.8557330314383328e+07 9.7402473816719294e+07 9.6213807138370678e+07 9.5029889950287223e+07 9.3914308783186302e+07 9.2946116347305864e+07 9.2250070281154498e+07 9.1999616778720513e+07 9.2447034926824853e+07 9.3959238690814555e+07 9.7092254801769763e+07 1.0272624648970723e+08 1.1234492605158778e+08 2.5494104645378780e+07 +8.9336778926308877e+00 2.8014002463914210e+08 2.8011254823141831e+08 2.8006612717461973e+08 2.8000508449371421e+08 2.7994353489386785e+08 2.7990366626065981e+08 2.7989543410370678e+08 2.7990199018521416e+08 2.7990594102421463e+08 2.7990325174035114e+08 2.7989529776728219e+08 2.7988163377951854e+08 2.7986097420200580e+08 2.7983214426670170e+08 2.7979399013164914e+08 2.7974503542538756e+08 2.7968352846158624e+08 2.7960748080087775e+08 2.7951457360969245e+08 2.7940203953356743e+08 2.7926661478274786e+08 2.7910433652897888e+08 2.7890942645032841e+08 2.7867188625048006e+08 2.7838240533411485e+08 2.7803651689396733e+08 2.7762722913398606e+08 2.7714426400787038e+08 2.7657532321080047e+08 2.7590611611193484e+08 2.7512014706174606e+08 2.7419844194000548e+08 2.7311927375818431e+08 2.7185790897067821e+08 2.7038641123222458e+08 2.6867349129215908e+08 2.6668453393035507e+08 2.6438182156699187e+08 2.6172512324576089e+08 2.5867268115717188e+08 2.5490431608453962e+08 2.5058276201719972e+08 2.4566781420055765e+08 2.4013333644198671e+08 2.3397425444550404e+08 2.2721371588731182e+08 2.1990906121766397e+08 2.1215480322222340e+08 2.0408103771834698e+08 1.9584481308346745e+08 1.8761659931802371e+08 1.7956827209352499e+08 1.7185753872014350e+08 1.6460267902343857e+08 1.5788371177880028e+08 1.5174537650123933e+08 1.4619641704703376e+08 1.4122143106319341e+08 1.3678667257643834e+08 1.3285409036753286e+08 1.2937732818026818e+08 1.2631655008638297e+08 1.2362820944836399e+08 1.2128061058902851e+08 1.1923840592614651e+08 1.1747115221682782e+08 1.1595530171402191e+08 1.1466427213631925e+08 1.1357222960484289e+08 1.1266068706597626e+08 1.1190548336205603e+08 1.1129011604985900e+08 1.1079485550206518e+08 1.1040331237627590e+08 1.1009260313628256e+08 1.0984011519711807e+08 1.0962978466404608e+08 1.0944590202234967e+08 1.0927232536258063e+08 1.0914947438625926e+08 1.0902542250711729e+08 1.0889884319940040e+08 1.0876626283655784e+08 1.0862949224777602e+08 1.0848453325573915e+08 1.0833659695065956e+08 1.0817199797777711e+08 1.0799584276885928e+08 1.0780489004334399e+08 1.0759660877166446e+08 1.0736792331599876e+08 1.0711536890794876e+08 1.0683390123656823e+08 1.0652446041774277e+08 1.0617483140615615e+08 1.0578283753882030e+08 1.0534279116408110e+08 1.0484857144348633e+08 1.0429386623210487e+08 1.0367234416455451e+08 1.0297693912244724e+08 1.0220895544860487e+08 1.0135444751443422e+08 1.0041656736677399e+08 9.9397484501640484e+07 9.8305192116849884e+07 9.7153290113187850e+07 9.5967664425230175e+07 9.4786776248805523e+07 9.3674048592064381e+07 9.2708333113996983e+07 9.2014067776207909e+07 9.1764255213687494e+07 9.2210528779034570e+07 9.3718863845205784e+07 9.6843864752227262e+07 1.0246344327362154e+08 1.1205751476863945e+08 2.5410109883353643e+07 +8.9386462154051465e+00 2.7965250774249256e+08 2.7962507860752338e+08 2.7957873550992221e+08 2.7951779196914488e+08 2.7945633716613191e+08 2.7941651848680860e+08 2.7940827420815015e+08 2.7941478606459111e+08 2.7941869023273593e+08 2.7941595708881927e+08 2.7940795790029091e+08 2.7939424628403461e+08 2.7937353679466289e+08 2.7934465415992033e+08 2.7930644363815999e+08 2.7925742804722947e+08 2.7919585465814412e+08 2.7911973359599984e+08 2.7902674431143814e+08 2.7891411755684179e+08 2.7877858738699776e+08 2.7861618867097235e+08 2.7842114111971229e+08 2.7818344333097607e+08 2.7789377500178206e+08 2.7754766316038555e+08 2.7713811670234638e+08 2.7665485597728068e+08 2.7608557944423938e+08 2.7541599343324178e+08 2.7462960015253782e+08 2.7370742490612364e+08 2.7262774256059998e+08 2.7136582500340843e+08 2.6989374637238550e+08 2.6818023489875335e+08 2.6619070217437193e+08 2.6388746957415992e+08 2.6123036032601771e+08 2.5817768935226113e+08 2.5440938927291009e+08 2.5008836643353105e+08 2.4517459407520235e+08 2.3964213991057143e+08 2.3348614735493562e+08 2.2672997518233904e+08 2.1943114000297955e+08 2.1168426293620557e+08 2.0361944893061832e+08 1.9539363849331921e+08 1.8717707690270200e+08 1.7914130594659454e+08 1.7144362736793274e+08 1.6420192647143272e+08 1.5749586255296379e+08 1.5136987602488479e+08 1.4583250274831793e+08 1.4086821252670458e+08 1.3644320699569264e+08 1.3251942285001385e+08 1.2905054125301175e+08 1.2599676803430864e+08 1.2331462583273385e+08 1.2097246859906578e+08 1.1893501767792374e+08 1.1717189197055614e+08 1.1565959149743991e+08 1.1437159383430569e+08 1.1328212422275010e+08 1.1237273673513967e+08 1.1161932791509351e+08 1.1100543167455080e+08 1.1051136430682491e+08 1.1012077295254551e+08 1.0981082713045458e+08 1.0955896765653312e+08 1.0934916631990722e+08 1.0916574989745294e+08 1.0899261584789476e+08 1.0887007895432802e+08 1.0874634449212089e+08 1.0862008918212788e+08 1.0848784822000816e+08 1.0835142777136245e+08 1.0820684007925858e+08 1.0805928191852136e+08 1.0789510432435387e+08 1.0771940007478462e+08 1.0752893618588394e+08 1.0732118810708910e+08 1.0709308807321399e+08 1.0684118018476671e+08 1.0656043323592232e+08 1.0625178397820215e+08 1.0590304997208308e+08 1.0551205955293292e+08 1.0507313962786743e+08 1.0458018502637900e+08 1.0402689976097198e+08 1.0340696867300984e+08 1.0271334391789666e+08 1.0194732557790850e+08 1.0109500501055376e+08 1.0015952564170200e+08 9.9143051414003402e+07 9.8053555064881131e+07 9.6904601682745740e+07 9.5722010940664932e+07 9.4544145754620045e+07 9.3434265938840419e+07 9.2471022495153129e+07 9.1778534346151993e+07 9.1529361448674321e+07 9.1974492706029326e+07 9.3478966763873756e+07 9.6595968398219243e+07 1.0220116239936665e+08 1.1177067474124159e+08 2.5326368439923678e+07 +8.9436145381794052e+00 2.7916521806721669e+08 2.7913783499053341e+08 2.7909157029920107e+08 2.7903072594344169e+08 2.7896936606425059e+08 2.7892959736984187e+08 2.7892134106946719e+08 2.7892780883596039e+08 2.7893166648603481e+08 2.7892888966327834e+08 2.7892084547690374e+08 2.7890708649203593e+08 2.7888632740118814e+08 2.7885739243523800e+08 2.7881912596317148e+08 2.7877005000437087e+08 2.7870841080132955e+08 2.7863221706093794e+08 2.7853914653820789e+08 2.7842642811589789e+08 2.7829079372181892e+08 2.7812827595315897e+08 2.7793309259826273e+08 2.7769523921883893e+08 2.7740538589872700e+08 2.7705905355379605e+08 2.7664925181333399e+08 2.7616569949548203e+08 2.7559609191340268e+08 2.7492613246403992e+08 2.7413932133192080e+08 2.7321668337647605e+08 2.7213649546458459e+08 2.7087403507204008e+08 2.6940138698587739e+08 2.6768729708995581e+08 2.6569720395510006e+08 2.6339346806798074e+08 2.6073596697015068e+08 2.5768308839964819e+08 2.5391487866622409e+08 2.4959441486597326e+08 2.4468184795037356e+08 2.3915144903304762e+08 2.3299857848949620e+08 2.2624680519080359e+08 2.1895382069917479e+08 2.1121435315018648e+08 2.0315851534509903e+08 1.9494313885208750e+08 1.8673824352950919e+08 1.7871503709084156e+08 1.7103041604789323e+08 1.6380187188700634e+08 1.5710870539931294e+08 1.5099505898052457e+08 1.4546926151284620e+08 1.4051565582402542e+08 1.3610039181752712e+08 1.3218539459438233e+08 1.2872438303022008e+08 1.2567760491317634e+08 1.2300165222766276e+08 1.2066492861253174e+08 1.1863222431361103e+08 1.1687322033592963e+08 1.1536446443876691e+08 1.1407949398052503e+08 1.1299259324305928e+08 1.1208535737552863e+08 1.1133374053062889e+08 1.1072131293235174e+08 1.1022843672618632e+08 1.0983879549022052e+08 1.0952961171890472e+08 1.0927837954467118e+08 1.0906910639520516e+08 1.0888615528533345e+08 1.0871346297330497e+08 1.0859123953924555e+08 1.0846782186297753e+08 1.0834188990591596e+08 1.0820998766897112e+08 1.0807391666350304e+08 1.0792969953142227e+08 1.0778251876486632e+08 1.0761876171068713e+08 1.0744350752274962e+08 1.0725353149754058e+08 1.0704631555014357e+08 1.0681879977292983e+08 1.0656753711721426e+08 1.0628750945555648e+08 1.0597965018607061e+08 1.0563180940407939e+08 1.0524182043594120e+08 1.0480402471863040e+08 1.0431233271842784e+08 1.0376046457298057e+08 1.0314212129838566e+08 1.0245027328619574e+08 1.0168621637125771e+08 1.0083607881754974e+08 9.9902995449571699e+07 9.8889124667755336e+07 9.7802418789773077e+07 9.6656408161033735e+07 9.5476846324949011e+07 9.4301998112211838e+07 9.3194960472141191e+07 9.2234184143185988e+07 9.1543469646015897e+07 9.1294935139599979e+07 9.1738926362128094e+07 9.3239547095586315e+07 9.6348565376473203e+07 1.0193940348275678e+08 1.1148440554919545e+08 2.5242879660474744e+07 +8.9485828609536640e+00 2.7867816014855808e+08 2.7865082102923924e+08 2.7860463402322912e+08 2.7854388909292120e+08 2.7848262427480888e+08 2.7844290559930074e+08 2.7843463737681657e+08 2.7844106118792748e+08 2.7844487247207665e+08 2.7844205215129507e+08 2.7843396318453026e+08 2.7842015709074390e+08 2.7839934870821637e+08 2.7837036177784938e+08 2.7833203979110485e+08 2.7828290398010898e+08 2.7822119957303387e+08 2.7814493387572879e+08 2.7805178296773428e+08 2.7793897388628483e+08 2.7780323645874149e+08 2.7764060104458004e+08 2.7744528354971939e+08 2.7720727657282150e+08 2.7691724067697561e+08 2.7657069071878409e+08 2.7616063710285032e+08 2.7567679718673629e+08 2.7510686322999609e+08 2.7443653580097431e+08 2.7364931317859936e+08 2.7272621990893161e+08 2.7164553500240201e+08 2.7038254168018061e+08 2.6890933554220456e+08 2.6719468029487932e+08 2.6520404165508008e+08 2.6289981937620619e+08 2.6024194544159153e+08 2.5718888048768744e+08 2.5342078636032632e+08 2.4910090930310473e+08 2.4418957769106439e+08 2.3866126553475526e+08 2.3251154941832349e+08 2.2576420730988073e+08 2.1847710452001950e+08 2.1074507488671005e+08 2.0269823779013065e+08 1.9449331479878098e+08 1.8630009965866044e+08 1.7828946582392722e+08 1.7061790491450495e+08 1.6340251530367547e+08 1.5672224025201058e+08 1.5062092522266728e+08 1.4510669313294458e+08 1.4016376069911286e+08 1.3575822674887803e+08 1.3185200527958575e+08 1.2839885316878323e+08 1.2535906036328664e+08 1.2268928826049475e+08 1.2035799024629493e+08 1.1833002544194496e+08 1.1657513691540787e+08 1.1506992013541162e+08 1.1378797216821255e+08 1.1270363625593226e+08 1.1179854857523090e+08 1.1104872079498483e+08 1.1043775940867509e+08 1.0994607234525304e+08 1.0955737957414976e+08 1.0924895648661941e+08 1.0899835044691430e+08 1.0878960447576688e+08 1.0860711777256349e+08 1.0843486632591966e+08 1.0831295572863705e+08 1.0818985420765540e+08 1.0806424495939533e+08 1.0793268077248642e+08 1.0779695851368172e+08 1.0765311120215464e+08 1.0750630708030586e+08 1.0734296972785714e+08 1.0716816470457669e+08 1.0697867557069556e+08 1.0677199069435249e+08 1.0654505800923562e+08 1.0629443930046991e+08 1.0601512949165317e+08 1.0570805863872129e+08 1.0536110930091263e+08 1.0497211978815356e+08 1.0453544603834924e+08 1.0404501412333305e+08 1.0349456027401637e+08 1.0287780164877085e+08 1.0218772683830373e+08 1.0142562744245583e+08 1.0057766855240566e+08 9.9646976410804182e+07 9.8635703887208492e+07 9.7551782920061111e+07 9.6408709180855364e+07 9.5232170215328589e+07 9.4060332963447824e+07 9.2956131837971091e+07 9.1997817707663298e+07 9.1308873328035221e+07 9.1060975939731345e+07 9.1503829398768008e+07 9.3000604486015409e+07 9.6101655321032390e+07 1.0167816613642085e+08 1.1119870676905027e+08 2.5159642891555943e+07 +8.9535511837279227e+00 2.7819133165030050e+08 2.7816404033819234e+08 2.7811792959997064e+08 2.7805728418363225e+08 2.7799611447355038e+08 2.7795644585038632e+08 2.7794816580657637e+08 2.7795454579556370e+08 2.7795831086563790e+08 2.7795544722737801e+08 2.7794731369725573e+08 2.7793346075355107e+08 2.7791260338831824e+08 2.7788356486014348e+08 2.7784518779312289e+08 2.7779599264422095e+08 2.7773422364145207e+08 2.7765788670691472e+08 2.7756465626479042e+08 2.7745175752980268e+08 2.7731591825696665e+08 2.7715316660031503e+08 2.7695771662499112e+08 2.7671955803814512e+08 2.7642934197574854e+08 2.7608257728668720e+08 2.7567227519288331e+08 2.7518815166253763e+08 2.7461789599272442e+08 2.7394720602749419e+08 2.7315957825791055e+08 2.7223603704743284e+08 2.7115486369399726e+08 2.6989134731825960e+08 2.6841759449788642e+08 2.6670238692965519e+08 2.6471121764333206e+08 2.6240652581308705e+08 2.5974829799063355e+08 2.5669506779297197e+08 2.5292711443887100e+08 2.4860785172070634e+08 2.4369778514970499e+08 2.3817159112798205e+08 2.3202506169737151e+08 2.2528218292518324e+08 2.1800099266773295e+08 2.1027642915664083e+08 2.0223861708386013e+08 1.9404416696256214e+08 1.8586264574115643e+08 1.7786459243479943e+08 1.7020609411452594e+08 1.6300385674773431e+08 1.5633646703840488e+08 1.5024747459975833e+08 1.4474479739488679e+08 1.3981252689060873e+08 1.3541671149195307e+08 1.3151925457959259e+08 1.2807395132154745e+08 1.2504113402064393e+08 1.2237753355429566e+08 1.2005165311350369e+08 1.1802842066806990e+08 1.1627764130762447e+08 1.1477595818094458e+08 1.1349702798726994e+08 1.1241525284818630e+08 1.1151230991878295e+08 1.1076426829132336e+08 1.1015477068549402e+08 1.0966427074548312e+08 1.0927652478581560e+08 1.0896886101540852e+08 1.0871887994527256e+08 1.0851066014419048e+08 1.0832863694228745e+08 1.0815682548943350e+08 1.0803522710654731e+08 1.0791244111084718e+08 1.0778715392759697e+08 1.0765592711621207e+08 1.0752055290814418e+08 1.0737707467812462e+08 1.0723064645216109e+08 1.0706772796384245e+08 1.0689337120885018e+08 1.0670436799473289e+08 1.0649821312968674e+08 1.0627186237324847e+08 1.0602188632647331e+08 1.0574329293733740e+08 1.0543700893047014e+08 1.0509094925816077e+08 1.0470295720652395e+08 1.0426740318572155e+08 1.0377822884177214e+08 1.0322918646681824e+08 1.0261400932925080e+08 1.0192570418180722e+08 1.0116555840212403e+08 1.0031977382898878e+08 9.9391468143035889e+07 9.8382788693846583e+07 9.7301647081172720e+07 9.6161504372161657e+07 9.4987982246273801e+07 9.3819149947265401e+07 9.2717779679544583e+07 9.1761922835462809e+07 9.1074745041697770e+07 9.0827483499495447e+07 9.1269201464804664e+07 9.2762138578209117e+07 9.5855237862972930e+07 1.0141744997021796e+08 1.1091357797396353e+08 2.5076657480880529e+07 +8.9585195065021814e+00 2.7770473788371563e+08 2.7767749333989459e+08 2.7763146020165795e+08 2.7757091401215678e+08 2.7750983932523751e+08 2.7747022078587770e+08 2.7746192902228981e+08 2.7746826532080638e+08 2.7747198432859713e+08 2.7746907755275393e+08 2.7746089967620045e+08 2.7744700014136434e+08 2.7742609410166425e+08 2.7739700434076154e+08 2.7735857262747800e+08 2.7730931865391153e+08 2.7724748566223431e+08 2.7717107820827210e+08 2.7707776908076644e+08 2.7696478169538480e+08 2.7682884176260334e+08 2.7666597526232117e+08 2.7647039446210253e+08 2.7623208624762213e+08 2.7594169242091364e+08 2.7559471587549984e+08 2.7518416869227314e+08 2.7469976552095038e+08 2.7412919278658259e+08 2.7345814571359587e+08 2.7267011912213761e+08 2.7174613732367527e+08 2.7066448404584175e+08 2.6940045446357900e+08 2.6792616629585144e+08 2.6621041939724171e+08 2.6421873427616304e+08 2.6191358967933521e+08 2.5925502685419255e+08 2.5620165247798386e+08 2.5243386497162560e+08 2.4811524408154282e+08 2.4320647216578040e+08 2.3768242751272771e+08 2.3153911687062329e+08 2.2480073340946192e+08 2.1752548633250034e+08 2.0980841696005857e+08 2.0177965403375450e+08 1.9359569596285892e+08 1.8542588221882054e+08 1.7744041720378184e+08 1.6979498378680420e+08 1.6260589623846623e+08 1.5595138567925367e+08 1.4987470695405138e+08 1.4438357407979736e+08 1.3946195413223270e+08 1.3507584574383584e+08 1.3118714216398944e+08 1.2774967713673854e+08 1.2472382551735631e+08 1.2206638772840601e+08 1.1974591682325760e+08 1.1772740959323466e+08 1.1598073310774477e+08 1.1448257816559990e+08 1.1320666102378921e+08 1.1212744260321595e+08 1.1122664098732506e+08 1.1048038259923373e+08 1.0987234634163719e+08 1.0938303150536408e+08 1.0899623070353132e+08 1.0868932488351327e+08 1.0843996761861108e+08 1.0823227297983296e+08 1.0805071237438610e+08 1.0787934004446721e+08 1.0775805325420557e+08 1.0763558215394586e+08 1.0751061639246547e+08 1.0737972628255913e+08 1.0724469942982332e+08 1.0710158954297939e+08 1.0695553646435688e+08 1.0679303600333647e+08 1.0661912662102275e+08 1.0643060835590392e+08 1.0622498244322899e+08 1.0599921245280550e+08 1.0574987778411333e+08 1.0547199938247250e+08 1.0516650065228075e+08 1.0482132886813214e+08 1.0443433228507182e+08 1.0399989575634234e+08 1.0351197647125241e+08 1.0296434275096039e+08 1.0235074394185473e+08 1.0166420492144644e+08 1.0090600885782425e+08 1.0006239425820582e+08 9.9136470260753825e+07 9.8130378705920085e+07 9.7052010895898357e+07 9.5914793362008557e+07 9.4744282049304679e+07 9.3578448699798897e+07 9.2479903637162089e+07 9.1526499170630574e+07 9.0841084433769330e+07 9.0594457466573566e+07 9.1035042206124812e+07 9.2524149012412474e+07 9.5609312630559534e+07 1.0115725459074932e+08 1.1062901873370546e+08 2.4993922777326480e+07 +8.9634878292764402e+00 2.7721838170217383e+08 2.7719118386914682e+08 2.7714522784513927e+08 2.7708478129827398e+08 2.7702380147781354e+08 2.7698423305439180e+08 2.7697592967414451e+08 2.7698222241259038e+08 2.7698589550891620e+08 2.7698294577569830e+08 2.7697472376912284e+08 2.7696077790114242e+08 2.7693982349513304e+08 2.7691068286594975e+08 2.7687219693885940e+08 2.7682288465280688e+08 2.7676098827766699e+08 2.7668451102002239e+08 2.7659112405381191e+08 2.7647804901850563e+08 2.7634200960760045e+08 2.7617902965945411e+08 2.7598331968521935e+08 2.7574486382037300e+08 2.7545429462537438e+08 2.7510710909054875e+08 2.7469632019708264e+08 2.7421164134679753e+08 2.7364075618360937e+08 2.7296935741597790e+08 2.7218093831056291e+08 2.7125652325539047e+08 2.7017439855107772e+08 2.6890986558052403e+08 2.6743505336592793e+08 2.6571878008752841e+08 2.6372659389594379e+08 2.6142101326310754e+08 2.5876213425622991e+08 2.5570863669228414e+08 2.5194104001580188e+08 2.4762308833515117e+08 2.4271564056587622e+08 2.3719377637589058e+08 2.3105371646954685e+08 2.2431986012409434e+08 2.1705058669316569e+08 2.0934103928580284e+08 2.0132134943661958e+08 1.9314790240905279e+08 1.8498980952413446e+08 1.7701694040279630e+08 1.6938457406271645e+08 1.6220863378761017e+08 1.5556699608920792e+08 1.4950262212207752e+08 1.4402302296289656e+08 1.3911204215214503e+08 1.3473562919727752e+08 1.3085566769781309e+08 1.2742603025839649e+08 1.2440713448096801e+08 1.2175585039792639e+08 1.1944078098096278e+08 1.1742699181504123e+08 1.1568441190719365e+08 1.1418977967605488e+08 1.1291687086078694e+08 1.1184020510104235e+08 1.1094154135879613e+08 1.1019706329515648e+08 1.0959048595258060e+08 1.0910235419983087e+08 1.0871649690218927e+08 1.0841034766630593e+08 1.0816161304263125e+08 1.0795444255890162e+08 1.0777334364557473e+08 1.0760240956827255e+08 1.0748143374924736e+08 1.0735927691535914e+08 1.0723463193284141e+08 1.0710407785081139e+08 1.0696939765847577e+08 1.0682665537713592e+08 1.0668097669792995e+08 1.0651889342792989e+08 1.0634543052345707e+08 1.0615739623707727e+08 1.0595229821871144e+08 1.0572710783256525e+08 1.0547841325897245e+08 1.0520124841382453e+08 1.0489653339213388e+08 1.0455224772015822e+08 1.0416624461450027e+08 1.0373292334272192e+08 1.0324625660621478e+08 1.0270002872310495e+08 1.0208800508557062e+08 1.0140322865897296e+08 1.0064697841426225e+08 9.9805529448006064e+07 9.8881982375497669e+07 9.7878473539142072e+07 9.6802873983809173e+07 9.5668575774588764e+07 9.4501069253203407e+07 9.3338228854350597e+07 9.2242503348547474e+07 9.1291546354612872e+07 9.0607891148302212e+07 9.0361897486075342e+07 9.0801351266096577e+07 9.2286635426089302e+07 9.5363879249167442e+07 1.0089757960164851e+08 1.1034502861473309e+08 2.4911438130937289e+07 +8.9684561520506989e+00 2.7673226459078825e+08 2.7670511508853078e+08 2.7665923547582948e+08 2.7659888864906859e+08 2.7653800356123674e+08 2.7649848529263252e+08 2.7649017039944863e+08 2.7649641970656824e+08 2.7650004704229361e+08 2.7649705453154558e+08 2.7648878861074954e+08 2.7647479666744947e+08 2.7645379420205075e+08 2.7642460306866723e+08 2.7638606335916448e+08 2.7633669327134335e+08 2.7627473411661977e+08 2.7619818776948202e+08 2.7610472380906779e+08 2.7599156212185365e+08 2.7585542441209972e+08 2.7569233240810794e+08 2.7549649490598071e+08 2.7525789336234123e+08 2.7496715118868047e+08 2.7461975952356374e+08 2.7420873228957587e+08 2.7372378171178824e+08 2.7315258874291825e+08 2.7248084367896211e+08 2.7169203834861892e+08 2.7076719734735590e+08 2.6968460968973142e+08 2.6841958311981928e+08 2.6694425812497297e+08 2.6522747137692893e+08 2.6323479883245456e+08 2.6092879883891508e+08 2.5826962240733662e+08 2.5521602257243198e+08 2.5144864161536053e+08 2.4713138641843748e+08 2.4222529216393703e+08 2.3670563939219633e+08 2.3056886201335186e+08 2.2383956441816977e+08 2.1657629491718251e+08 2.0887429711202842e+08 2.0086370407929498e+08 1.9270078690088731e+08 1.8455442808087096e+08 1.7659416229544714e+08 1.6897486506558466e+08 1.6181206940041551e+08 1.5518329817591751e+08 1.4913121993405616e+08 1.4366314381417689e+08 1.3876279067362967e+08 1.3439606153956711e+08 1.3052483084144761e+08 1.2710301032604843e+08 1.2409106053531973e+08 1.2144592117413978e+08 1.1913624518826622e+08 1.1712716692748560e+08 1.1538867729387662e+08 1.1389756229541908e+08 1.1262765707767975e+08 1.1155353991817108e+08 1.1065701060761341e+08 1.0991430995220447e+08 1.0930918909076220e+08 1.0882223840076619e+08 1.0843732295367999e+08 1.0813192893572685e+08 1.0788381578969562e+08 1.0767716845436545e+08 1.0749653032941838e+08 1.0732603363507925e+08 1.0720536816640916e+08 1.0708352497011124e+08 1.0695920012423697e+08 1.0682898139724191e+08 1.0669464717084803e+08 1.0655227175777841e+08 1.0640696673069762e+08 1.0624529981609187e+08 1.0607228249505879e+08 1.0588473121825215e+08 1.0568016003672309e+08 1.0545554809414551e+08 1.0520749233365679e+08 1.0493103961497162e+08 1.0462710673487929e+08 1.0428370540049657e+08 1.0389869378262816e+08 1.0346648553431533e+08 1.0298106883796380e+08 1.0243624397680701e+08 1.0182579235634576e+08 1.0114277499301751e+08 1.0038846667311001e+08 9.9549179003408715e+07 9.8628004095847279e+07 9.7627072805998832e+07 9.6554235961885586e+07 9.5422851231252626e+07 9.4258343484014750e+07 9.3098490041522145e+07 9.2005578448664010e+07 9.1057064026084378e+07 9.0375164826768264e+07 9.0129803200361639e+07 9.0568128285358384e+07 9.2049597454000756e+07 9.5118937341406271e+07 1.0063842460358728e+08 1.1006160718047398e+08 2.4829202892922562e+07 +8.9734244748249576e+00 2.7624639235486060e+08 2.7621928668324494e+08 2.7617348633989680e+08 2.7611323858218497e+08 2.7605244818908304e+08 2.7601298012456691e+08 2.7600465382227266e+08 2.7601085982509518e+08 2.7601444155094832e+08 2.7601140644223052e+08 2.7600309682264888e+08 2.7598905906123233e+08 2.7596800884292608e+08 2.7593876756829929e+08 2.7590017450724918e+08 2.7585074712717831e+08 2.7578872579538393e+08 2.7571211107119715e+08 2.7561857095876020e+08 2.7550532361511624e+08 2.7536908878196371e+08 2.7520588611016130e+08 2.7500992272260761e+08 2.7477117746699554e+08 2.7448026469735527e+08 2.7413266975321090e+08 2.7372140753959626e+08 2.7323618917478567e+08 2.7266469301002401e+08 2.7199260703255981e+08 2.7120342174937695e+08 2.7027816209129798e+08 2.6919511992868662e+08 2.6792960951908341e+08 2.6645378297634867e+08 2.6473649562883171e+08 2.6274335140198299e+08 2.6043694866828990e+08 2.5777749350522387e+08 2.5472381224221802e+08 2.5095667180103397e+08 2.4664014025532550e+08 2.4173542876092032e+08 2.3621801822370249e+08 2.3008455500890055e+08 2.2335984762889379e+08 2.1610261216008928e+08 2.0840819140551284e+08 2.0040671873787877e+08 1.9225435002834883e+08 1.8411973830358282e+08 1.7617208313715792e+08 1.6856585691113409e+08 1.6141620307460898e+08 1.5480029184062469e+08 1.4876050021436328e+08 1.4330393639775941e+08 1.3841419941482556e+08 1.3405714245361336e+08 1.3019463125072823e+08 1.2678061697517480e+08 1.2377560329980431e+08 1.2113659966433425e+08 1.1883230904278514e+08 1.1682793452067241e+08 1.1509352885218361e+08 1.1360592560325454e+08 1.1233901925043799e+08 1.1126744662785667e+08 1.1037304830494314e+08 1.0963212214019205e+08 1.0902845532487756e+08 1.0854268367676809e+08 1.0815870842650869e+08 1.0785406826056308e+08 1.0760657542897746e+08 1.0740045023588203e+08 1.0722027199630086e+08 1.0705021181583056e+08 1.0692985607709464e+08 1.0680832589016515e+08 1.0668432053922118e+08 1.0655443649466141e+08 1.0642044754047343e+08 1.0627843825903478e+08 1.0613350613732246e+08 1.0597225474316885e+08 1.0579968211204028e+08 1.0561261287601276e+08 1.0540856747499484e+08 1.0518453281586005e+08 1.0493711458756986e+08 1.0466137256657578e+08 1.0435822026233375e+08 1.0401570149226063e+08 1.0363167937409687e+08 1.0320058191748030e+08 1.0271641275491011e+08 1.0217298810243541e+08 1.0156410534721169e+08 1.0088284351925819e+08 1.0013047323298866e+08 9.9293342526439086e+07 9.8374535027651295e+07 9.7376176116178408e+07 9.6306096444080755e+07 9.5177619350558206e+07 9.4016104365024388e+07 9.2859231889296070e+07 9.1769128569609404e+07 9.0823051821022600e+07 9.0142905107889399e+07 8.9898174249132082e+07 9.0335372901910245e+07 9.1813034728196129e+07 9.4874486526991665e+07 1.0037978919442666e+08 1.0977875399078800e+08 2.4747216415658761e+07 +8.9783927975992164e+00 2.7576076461123180e+08 2.7573370430957514e+08 2.7568798186196983e+08 2.7562783359983748e+08 2.7556713796144110e+08 2.7552772016231889e+08 2.7551938255359757e+08 2.7552554537693840e+08 2.7552908164397776e+08 2.7552600411663407e+08 2.7551765101395011e+08 2.7550356769079733e+08 2.7548247002533263e+08 2.7545317897165161e+08 2.7541453298867500e+08 2.7536504882489729e+08 2.7530296591662413e+08 2.7522628352595484e+08 2.7513266810182416e+08 2.7501933609464973e+08 2.7488300531098115e+08 2.7471969335583377e+08 2.7452360572050720e+08 2.7428471871380669e+08 2.7399363772487956e+08 2.7364584234513348e+08 2.7323434850348419e+08 2.7274886628138638e+08 2.7217707151786649e+08 2.7150464999451840e+08 2.7071509101248431e+08 2.6978941996589369e+08 2.6870593172184426e+08 2.6743994720319715e+08 2.6596363031058612e+08 2.6424585519341359e+08 2.6225225390788049e+08 2.5994546499960157e+08 2.5728574973453721e+08 2.5423200781139833e+08 2.5046513259113538e+08 2.4614935175689429e+08 2.4124605214535487e+08 2.3573091451974934e+08 2.2960079695101976e+08 2.2288071108163282e+08 2.1562953956661156e+08 2.0794272312218618e+08 1.9995039417830050e+08 1.9180859237140685e+08 1.8368574059753019e+08 1.7575070317459795e+08 1.6815754970759636e+08 1.6102103480116153e+08 1.5441797697851327e+08 1.4839046278154957e+08 1.4294540047262084e+08 1.3806626808862358e+08 1.3371887161744268e+08 1.2986506857705753e+08 1.2645884983683191e+08 1.2346076239007078e+08 1.2082788547207738e+08 1.1852897213857216e+08 1.1652929418125898e+08 1.1479896616282779e+08 1.1331486917570965e+08 1.1205095695161735e+08 1.1098192479998523e+08 1.1008965401877679e+08 1.0935049942558916e+08 1.0874828422083876e+08 1.0826368959329285e+08 1.0788065288608342e+08 1.0757676520644650e+08 1.0732989152667624e+08 1.0712428747023791e+08 1.0694456821333423e+08 1.0677494367845967e+08 1.0665489704967064e+08 1.0653367924425790e+08 1.0640999274697699e+08 1.0628044271285024e+08 1.0614679833763719e+08 1.0600515445176490e+08 1.0586059448926650e+08 1.0569975778125101e+08 1.0552762894708005e+08 1.0534104078404459e+08 1.0513752010790375e+08 1.0491406157328829e+08 1.0466727959716965e+08 1.0439224684611033e+08 1.0408987355306999e+08 1.0374823557546230e+08 1.0336520097056307e+08 1.0293521207567225e+08 1.0245228794233382e+08 1.0191026068761738e+08 1.0130294364814092e+08 1.0062343383049656e+08 9.9872997689796656e+07 9.9038019616211101e+07 9.8121574773693606e+07 9.7125783076765135e+07 9.6058455041724890e+07 9.4932879748240411e+07 9.3774351516503990e+07 9.2620454022625655e+07 9.1533153340921894e+07 9.0589509372852877e+07 8.9911111627611622e+07 8.9667010269522771e+07 9.0103084750991300e+07 9.1576946878050521e+07 9.4630526422968507e+07 1.0012167296878791e+08 1.0949646860260506e+08 2.4665478052689761e+07 +8.9833611203734751e+00 2.7527538544195634e+08 2.7524837106673908e+08 2.7520272496816003e+08 2.7514267630448717e+08 2.7508207547002572e+08 2.7504270800640863e+08 2.7503435919079727e+08 2.7504047895905185e+08 2.7504396991789019e+08 2.7504085015069300e+08 2.7503245377958226e+08 2.7501832515123057e+08 2.7499718034392357e+08 2.7496783987249863e+08 2.7492914139591187e+08 2.7487960095561063e+08 2.7481745707058150e+08 2.7474070772214401e+08 2.7464701782413846e+08 2.7453360214361036e+08 2.7439717657902020e+08 2.7423375672170687e+08 2.7403754647167313e+08 2.7379851966968048e+08 2.7350727283145922e+08 2.7315927985209930e+08 2.7274755772477680e+08 2.7226181556367201e+08 2.7168972678597420e+08 2.7101697506924278e+08 2.7022704862414372e+08 2.6930097343632776e+08 2.6821704750960186e+08 2.6695059858333281e+08 2.6547380250483039e+08 2.6375555240807909e+08 2.6176150864008427e+08 2.5945435006833649e+08 2.5679439326650286e+08 2.5374061137780967e+08 2.4997402599066019e+08 2.4565902282138476e+08 2.4075716409306735e+08 2.3524432991772354e+08 2.2911758932218751e+08 2.2240215608997884e+08 2.1515707826933795e+08 2.0747789320703170e+08 1.9949473115607065e+08 1.9136351450084996e+08 1.8325243535925868e+08 1.7533002264643085e+08 1.6774994355560783e+08 1.6062656456400949e+08 1.5403635347816280e+08 1.4802110744830772e+08 1.4258753579210579e+08 1.3771899640290213e+08 1.3338124870435126e+08 1.2953614246747366e+08 1.2613770853783306e+08 1.2314653741745080e+08 1.2051977819683671e+08 1.1822623406594412e+08 1.1623124549225976e+08 1.1450498880300310e+08 1.1302439258576038e+08 1.1176346975047719e+08 1.1069697400122753e+08 1.0980682731368344e+08 1.0906944137196562e+08 1.0846867534122024e+08 1.0798525571253327e+08 1.0760315589467612e+08 1.0730001933589396e+08 1.0705376364574821e+08 1.0684867972077967e+08 1.0666941854474598e+08 1.0650022878764018e+08 1.0638049064927100e+08 1.0625958459824525e+08 1.0613621631377567e+08 1.0600699961873834e+08 1.0587369912967207e+08 1.0573241990382585e+08 1.0558823135503863e+08 1.0542780849940458e+08 1.0525612257007682e+08 1.0507001451293576e+08 1.0486701750681616e+08 1.0464413393855187e+08 1.0439798693559988e+08 1.0412366202792688e+08 1.0382206618278886e+08 1.0348130722723712e+08 1.0309925815060066e+08 1.0267037558915159e+08 1.0218869398265934e+08 1.0164806131686270e+08 1.0104230684605360e+08 1.0036454551648146e+08 9.9616039636202440e+07 9.8783209869054824e+07 9.7869122933959201e+07 9.6875893291629404e+07 9.5811311363114893e+07 9.4688632037389949e+07 9.3533084556348652e+07 9.2382156064043105e+07 9.1297652389529347e+07 9.0356436312087461e+07 8.9679784019525722e+07 8.9436310895862743e+07 8.9871263465452194e+07 9.1341333530214742e+07 9.4387056643526882e+07 9.9864075518509626e+07 1.0921475056950323e+08 2.4583987158727508e+07 +8.9883294431477339e+00 2.7479025582298595e+08 2.7476328748445421e+08 2.7471771845842820e+08 2.7465776938982010e+08 2.7459726330191553e+08 2.7455794624353552e+08 2.7454958631798077e+08 2.7455566315415519e+08 2.7455910895534891e+08 2.7455594712771612e+08 2.7454750770250231e+08 2.7453333402478856e+08 2.7451214237977451e+08 2.7448275285134172e+08 2.7444400230906087e+08 2.7439440609809089e+08 2.7433220183382380e+08 2.7425538623486125e+08 2.7416162269869471e+08 2.7404812433263731e+08 2.7391160515353572e+08 2.7374807877113289e+08 2.7355174753562945e+08 2.7331258288870203e+08 2.7302117256495410e+08 2.7267298481382972e+08 2.7226103773368371e+08 2.7177503954144424e+08 2.7120266132087630e+08 2.7052958474832064e+08 2.6973929705823803e+08 2.6881282495521981e+08 2.6772846971967196e+08 2.6646156605823594e+08 2.6498430192326438e+08 2.6326558959671590e+08 2.6127111787606990e+08 2.5896360609664255e+08 2.5630342625946936e+08 2.5324962502585211e+08 2.4948335399174836e+08 2.4516915533427203e+08 2.4026876636690584e+08 2.3475826604191965e+08 2.2863493359266028e+08 2.2192418395545995e+08 2.1468522939002049e+08 2.0701370259452948e+08 1.9903973041621891e+08 1.9091911697776058e+08 1.8281982297648752e+08 1.7491004178321484e+08 1.6734303854804909e+08 1.6023279234013197e+08 1.5365542122156948e+08 1.4765243402136478e+08 1.4223034210428491e+08 1.3737238406079340e+08 1.3304427338281107e+08 1.2920785256434546e+08 1.2581719270081452e+08 1.2283292798938262e+08 1.2021227743422022e+08 1.1792409441128066e+08 1.1593378803301391e+08 1.1421159634657504e+08 1.1273449540239684e+08 1.1147655721288024e+08 1.1041259379467270e+08 1.0952456775113408e+08 1.0878894753925544e+08 1.0818962824533729e+08 1.0770738159350292e+08 1.0732621701129819e+08 1.0702383020825864e+08 1.0677819134591024e+08 1.0657362654802021e+08 1.0639482255144934e+08 1.0622606670495158e+08 1.0610663643808633e+08 1.0598604151459213e+08 1.0586299080272399e+08 1.0573410677582520e+08 1.0560114948071553e+08 1.0546023418010186e+08 1.0531641629990563e+08 1.0515640646368098e+08 1.0498516254780020e+08 1.0479953363024557e+08 1.0459705924012019e+08 1.0437474948098366e+08 1.0412923617327058e+08 1.0385561768357670e+08 1.0355479772423242e+08 1.0321491602156618e+08 1.0283385048986591e+08 1.0240607203545339e+08 1.0192563045510787e+08 1.0138638957183932e+08 1.0078219452516164e+08 1.0010617816410987e+08 9.9359598662344918e+07 9.8528912878293291e+07 9.7617179105669662e+07 9.6626506362124115e+07 9.5564665013915390e+07 9.4444875828127056e+07 9.3292303099491417e+07 9.2144337633277670e+07 9.1062625339542046e+07 9.0123832267000720e+07 8.9448921914435789e+07 8.9206075760131881e+07 8.9639908675176144e+07 9.1106194308677167e+07 9.4144076800182596e+07 9.9606996432670236e+07 1.0893359944184037e+08 2.4502743089652658e+07 +8.9932977659219926e+00 2.7430537810151190e+08 2.7427845640607178e+08 2.7423296496078247e+08 2.7417311547478235e+08 2.7411270403956282e+08 2.7407343744738942e+08 2.7406506650633860e+08 2.7407110053199637e+08 2.7407450132692713e+08 2.7407129761727768e+08 2.7406281535224342e+08 2.7404859688042390e+08 2.7402735870178896e+08 2.7399792047612208e+08 2.7395911829447049e+08 2.7390946681753486e+08 2.7384720277083170e+08 2.7377032162595552e+08 2.7367648528553522e+08 2.7356290521893197e+08 2.7342629358902973e+08 2.7326266205473131e+08 2.7306621145829457e+08 2.7282691091175532e+08 2.7253533945929760e+08 2.7218695975666088e+08 2.7177479104762083e+08 2.7128854072122300e+08 2.7071587761596894e+08 2.7004248150964200e+08 2.6925183877482182e+08 2.6832497696185410e+08 2.6724020076677594e+08 2.6597285201309222e+08 2.6449513091722998e+08 2.6277596907035077e+08 2.6078108387979680e+08 2.5847323529378062e+08 2.5581285085919082e+08 2.5275905082696286e+08 2.4899311857373554e+08 2.4467975116809133e+08 2.3978086071745199e+08 2.3427272450474778e+08 2.2815283122076529e+08 2.2144679596814460e+08 2.1421399403881571e+08 2.0655015220787293e+08 1.9858539269401851e+08 1.9047540035330370e+08 1.8238790382787651e+08 1.7449076080694720e+08 1.6693683477026829e+08 1.5983971809975028e+08 1.5327518008482787e+08 1.4728444230161369e+08 1.4187381915187630e+08 1.3702643075997072e+08 1.3270794531676424e+08 1.2888019850588363e+08 1.2549730194435474e+08 1.2251993370926276e+08 1.1990538277620150e+08 1.1762255275757304e+08 1.1563692137924781e+08 1.1391878836369282e+08 1.1244517719176735e+08 1.1119021890142515e+08 1.1012878374045433e+08 1.0924287488919041e+08 1.0850901748441526e+08 1.0791114248945919e+08 1.0743006679224929e+08 1.0704983579200867e+08 1.0674819737975526e+08 1.0650317418396813e+08 1.0629912750913294e+08 1.0612077979134853e+08 1.0595245698905575e+08 1.0583333397500353e+08 1.0571304955297588e+08 1.0559031577380890e+08 1.0546176374466233e+08 1.0532914895197642e+08 1.0518859684227951e+08 1.0504514888625692e+08 1.0488555123712216e+08 1.0471474844379455e+08 1.0452959770026796e+08 1.0432764487299863e+08 1.0410590776680706e+08 1.0386102687739994e+08 1.0358811338129364e+08 1.0328806774684232e+08 1.0294906152955723e+08 1.0256897756098470e+08 1.0214230098887801e+08 1.0166309693622631e+08 1.0112524503116705e+08 1.0052260626647572e+08 9.9848331357377470e+07 9.9103674355113342e+07 9.8275128234489709e+07 9.7365742883054405e+07 9.6377621886565641e+07 9.5318515596951991e+07 9.4201610727999926e+07 9.3052006758142322e+07 9.1906998347440153e+07 9.0828071812564895e+07 8.9891696862897873e+07 8.9218524940659851e+07 8.8976304491579607e+07 8.9409020007686555e+07 9.0871528834819093e+07 9.3901586501616240e+07 9.9350435297083318e+07 1.0865301476698644e+08 2.4421745202515051e+07 +8.9982660886962513e+00 2.7382075656510073e+08 2.7379388215654248e+08 2.7374846755377001e+08 2.7368871705543381e+08 2.7362840025679380e+08 2.7358918417775506e+08 2.7358080231305736e+08 2.7358679364996058e+08 2.7359014958987981e+08 2.7358690417686272e+08 2.7357837928551733e+08 2.7356411627451771e+08 2.7354283186533278e+08 2.7351334530135322e+08 2.7347449190614688e+08 2.7342478566646594e+08 2.7336246243219596e+08 2.7328551644501913e+08 2.7319160813189507e+08 2.7307794734694409e+08 2.7294124442640382e+08 2.7277750911044991e+08 2.7258094077279484e+08 2.7234150626674080e+08 2.7204977603630388e+08 2.7170120719413817e+08 2.7128882017088807e+08 2.7080232159589618e+08 2.7022937815221238e+08 2.6955566781911629e+08 2.6876467622157717e+08 2.6783743188281742e+08 2.6675224305219144e+08 2.6548445882064185e+08 2.6400629182469669e+08 2.6228669312707639e+08 2.6029140890228900e+08 2.5798323985603422e+08 2.5532266919805411e+08 2.5226889083973515e+08 2.4850332170309418e+08 2.4419081218282190e+08 2.3929344888271198e+08 2.3378770690608764e+08 2.2767128365269947e+08 2.2096999340632337e+08 2.1374337331458473e+08 2.0608724295983803e+08 1.9813171871421033e+08 1.9003236516946965e+08 1.8195667828308186e+08 1.7407217993166104e+08 1.6653133230035213e+08 1.5944734180603173e+08 1.5289562993740109e+08 1.4691713208424598e+08 1.4151796667183635e+08 1.3668113619349357e+08 1.3237226416570698e+08 1.2855317992573364e+08 1.2517803588264556e+08 1.2220755417662820e+08 1.1959909381083857e+08 1.1732160868395448e+08 1.1534064510333149e+08 1.1362656442114073e+08 1.1215643751631989e+08 1.1090445437531200e+08 1.0984554339542922e+08 1.0896174828290017e+08 1.0822965076126847e+08 1.0763321762668078e+08 1.0715331086155155e+08 1.0677401178965302e+08 1.0647312040364954e+08 1.0622871171345109e+08 1.0602518215841891e+08 1.0584728981927523e+08 1.0567939919536774e+08 1.0556058281624751e+08 1.0544060826968229e+08 1.0531819078419742e+08 1.0518997008288746e+08 1.0505769710147299e+08 1.0491750744900993e+08 1.0477442867331134e+08 1.0461524237961511e+08 1.0444487981886937e+08 1.0426020628458375e+08 1.0405877396794909e+08 1.0383760835921849e+08 1.0359335861219580e+08 1.0332114868655476e+08 1.0302187581736192e+08 1.0268374331917220e+08 1.0230463893352331e+08 1.0187906202082023e+08 1.0140109299942978e+08 1.0086462727055940e+08 1.0026354164842086e+08 9.9591004677353948e+07 9.8848266298810616e+07 9.8021855525181934e+07 9.7114813857717812e+07 9.6129239460663423e+07 9.5072862712227702e+07 9.3958836341831475e+07 9.2812195141879857e+07 9.1670137820767492e+07 9.0593991427396655e+07 8.9660029722682998e+07 8.8988592723766953e+07 8.8746996716796175e+07 8.9178597087936133e+07 9.0637336727416709e+07 9.3659585353837028e+07 9.9094391695154399e+07 1.0837299608897482e+08 2.4340992855534367e+07 +9.0032344114705101e+00 2.7333639430772591e+08 2.7330956496300983e+08 2.7326422838377351e+08 2.7320457661684465e+08 2.7314435451191801e+08 2.7310518897931343e+08 2.7309679628229898e+08 2.7310274505271441e+08 2.7310605628841162e+08 2.7310276935016924e+08 2.7309420204596108e+08 2.7307989475011957e+08 2.7305856441274852e+08 2.7302902986876869e+08 2.7299012568448657e+08 2.7294036518477267e+08 2.7287798335596699e+08 2.7280097322824144e+08 2.7270699377154475e+08 2.7259325324825191e+08 2.7245646019434786e+08 2.7229262246275783e+08 2.7209593799995106e+08 2.7185637146823984e+08 2.7156448480376863e+08 2.7121572962717229e+08 2.7080312759495550e+08 2.7031638464654917e+08 2.6974316539696181e+08 2.6906914612880462e+08 2.6827781183298650e+08 2.6735019213115358e+08 2.6626459896475750e+08 2.6499638883967334e+08 2.6351778697108206e+08 2.6179776405205601e+08 2.5980209518152404e+08 2.5749362196689832e+08 2.5483288339571515e+08 2.5177914710999259e+08 2.4801396533370608e+08 2.4370234022579646e+08 2.3880653258817258e+08 2.3330321483349746e+08 2.2719029232242942e+08 2.2049377753626749e+08 2.1327336830537850e+08 2.0562497575228068e+08 1.9767870919146433e+08 1.8959001195848423e+08 1.8152614670340306e+08 1.7365429936339751e+08 1.6612653120880142e+08 1.5905566341539028e+08 1.5251677064265412e+08 1.4655050315874285e+08 1.4116278439651000e+08 1.3633650004931831e+08 1.3203722958387516e+08 1.2822679645330261e+08 1.2485939412595537e+08 1.2189578898706372e+08 1.1929341012235303e+08 1.1702126176597482e+08 1.1504495877388188e+08 1.1333492408250970e+08 1.1186827593527199e+08 1.1061926319053850e+08 1.0956287231300193e+08 1.0868118748398274e+08 1.0795084692049378e+08 1.0735585320697185e+08 1.0687711335109544e+08 1.0649874455398269e+08 1.0619859882988612e+08 1.0595480348516807e+08 1.0575179004708128e+08 1.0557435218704899e+08 1.0540689287636445e+08 1.0528838251459821e+08 1.0516871721824315e+08 1.0504661538760392e+08 1.0491872534507817e+08 1.0478679348436169e+08 1.0464696555607612e+08 1.0450425521732126e+08 1.0434547944809328e+08 1.0417555623061214e+08 1.0399135894159640e+08 1.0379044608406746e+08 1.0356985081846212e+08 1.0332623093898876e+08 1.0305472316180086e+08 1.0275622149952285e+08 1.0241896095565219e+08 1.0204083417433296e+08 1.0161635469989416e+08 1.0113961821518593e+08 1.0060453586277153e+08 1.0000500024628015e+08 9.9334197702198222e+07 9.8593374074737653e+07 9.7769094335412681e+07 9.6864391618156001e+07 9.5881358677294970e+07 9.4827705957204983e+07 9.3716552271636114e+07 9.2572867857767552e+07 9.1433755665158957e+07 9.0360383800513223e+07 8.9428830466620788e+07 8.8759124887020484e+07 8.8518152060087740e+07 8.8948639538142711e+07 9.0403617602581054e+07 9.3418072960319534e+07 9.8838865207129434e+07 1.0809354294889371e+08 2.4260485408100650e+07 +9.0082027342447688e+00 2.7285229164993846e+08 2.7282550962468791e+08 2.7278024942443138e+08 2.7272069671091002e+08 2.7266056934308517e+08 2.7262145438289404e+08 2.7261305094531119e+08 2.7261895727106881e+08 2.7262222395390075e+08 2.7261889566883212e+08 2.7261028616465259e+08 2.7259593483788329e+08 2.7257455887427181e+08 2.7254497670755941e+08 2.7250602215759540e+08 2.7245620789858443e+08 2.7239376806776649e+08 2.7231669449874449e+08 2.7222264472561204e+08 2.7210882544147670e+08 2.7197194340836179e+08 2.7180800462346178e+08 2.7161120564651567e+08 2.7137150901880610e+08 2.7107946825804460e+08 2.7073052954341173e+08 2.7031771579845381e+08 2.6983073234066325e+08 2.6925724180498719e+08 2.6858291887828898e+08 2.6779124803044590e+08 2.6686326010732266e+08 2.6577727087995425e+08 2.6450864441732025e+08 2.6302961866839883e+08 2.6130918411733767e+08 2.5931314494322169e+08 2.5700438379661262e+08 2.5434349555906335e+08 2.5128982167059579e+08 2.4752505140644640e+08 2.4321433713168475e+08 2.3832011354643986e+08 2.3281924986213708e+08 2.2670985865222833e+08 2.2001814961327788e+08 2.1280398008719936e+08 2.0516335147639129e+08 1.9722636483062968e+08 1.8914834124334383e+08 1.8109630944080982e+08 1.7323711929979610e+08 1.6572243155854559e+08 1.5866468287747654e+08 1.5213860205781290e+08 1.4618455530871063e+08 1.4080827205235013e+08 1.3599252201045275e+08 1.3170284122163449e+08 1.2790104771347098e+08 1.2454137628027737e+08 1.2158463773212154e+08 1.1898833129121500e+08 1.1672151157547055e+08 1.1474986195611426e+08 1.1304386690755703e+08 1.1158069200450474e+08 1.1033464489980382e+08 1.0928077004355130e+08 1.0840119204109877e+08 1.0767260550962880e+08 1.0707904877718809e+08 1.0660147380761760e+08 1.0622403363182460e+08 1.0592463220563790e+08 1.0568144904647864e+08 1.0547895072320031e+08 1.0530196644343705e+08 1.0513493758149864e+08 1.0501673261998768e+08 1.0489737594921243e+08 1.0477558913520564e+08 1.0464802908254173e+08 1.0451643765269172e+08 1.0437697071601790e+08 1.0423462807170768e+08 1.0407626199653655e+08 1.0390677723372240e+08 1.0372305522674158e+08 1.0352266077783033e+08 1.0330263470182273e+08 1.0305964341600643e+08 1.0278883636652355e+08 1.0249110435398859e+08 1.0215471400114621e+08 1.0177756284711002e+08 1.0135417859180738e+08 1.0087867215132089e+08 1.0034497037781774e+08 9.9746981632581711e+07 9.9077910007452771e+07 9.8338997261483580e+07 9.7516844247140348e+07 9.6614475750447780e+07 9.5633979126569062e+07 9.4583044926461041e+07 9.3474758116706029e+07 9.2334024510035753e+07 9.1197851489771754e+07 9.0127248545526937e+07 8.9198098712397054e+07 8.8530121050772622e+07 8.8289770142965749e+07 8.8719146978130892e+07 9.0170371073931739e+07 9.3177048921609744e+07 9.8583855410513550e+07 1.0781465488462491e+08 2.4180222220774770e+07 +9.0131710570190275e+00 2.7236845241422373e+08 2.7234171566674918e+08 2.7229653370156741e+08 2.7223707991793132e+08 2.7217704726663351e+08 2.7213798290508795e+08 2.7212956881979644e+08 2.7213543282349372e+08 2.7213865510517406e+08 2.7213528565111786e+08 2.7212663415963686e+08 2.7211223905520231e+08 2.7209081776633865e+08 2.7206118833328462e+08 2.7202218384047568e+08 2.7197231632219577e+08 2.7190981907945454e+08 2.7183268276732987e+08 2.7173856350282359e+08 2.7162466643223548e+08 2.7148769657087851e+08 2.7132365809152961e+08 2.7112674620754915e+08 2.7088692140730011e+08 2.7059472888121921e+08 2.7024560941771865e+08 2.6983258724682289e+08 2.6934536713283807e+08 2.6877160981784099e+08 2.6809698849401471e+08 2.6730498722306553e+08 2.6637663819915980e+08 2.6529026116033229e+08 2.6402122788667780e+08 2.6254178921624115e+08 2.6082095558216545e+08 2.5882456039920551e+08 2.5651552750311425e+08 2.5385450778178748e+08 2.5080091654171386e+08 2.4703658184959128e+08 2.4272680472259954e+08 2.3783419345853013e+08 2.3233581355535504e+08 2.2622998405216348e+08 2.1954311088034391e+08 2.1233520972558388e+08 2.0470237101276165e+08 1.9677468632614699e+08 1.8870735353761417e+08 1.8066716683912909e+08 1.7282063993079823e+08 1.6531903340553370e+08 1.5827440013514298e+08 1.5176112403369901e+08 1.4581928831233132e+08 1.4045442936094090e+08 1.3564920175534019e+08 1.3136909872412273e+08 1.2757593332707682e+08 1.2422398194760746e+08 1.2127409999945770e+08 1.1868385689438918e+08 1.1642235768092786e+08 1.1445535421169624e+08 1.1275339245291805e+08 1.1129368527660386e+08 1.1005059905247666e+08 1.0899923613427813e+08 1.0812176149970457e+08 1.0739492607290283e+08 1.0680280388115029e+08 1.0632639177464730e+08 1.0594987856686248e+08 1.0565122007497717e+08 1.0540864794212413e+08 1.0520666373193324e+08 1.0503013213420433e+08 1.0486353285718293e+08 1.0474563267941080e+08 1.0462658400991057e+08 1.0450511157480145e+08 1.0437788084392127e+08 1.0424662915548284e+08 1.0410752247863469e+08 1.0396554678654900e+08 1.0380758957594320e+08 1.0363854237993731e+08 1.0345529469264385e+08 1.0325541760251178e+08 1.0303595956362265e+08 1.0279359559874506e+08 1.0252348785731049e+08 1.0222652393867940e+08 1.0189100201483649e+08 1.0151482451282875e+08 1.0109253325912739e+08 1.0061825437244983e+08 1.0008593038281074e+08 9.9489485377048433e+07 9.8822141165617809e+07 9.8085135434800595e+07 9.7265104839700803e+07 9.6365065837730721e+07 9.5387100395931557e+07 9.4338879212015554e+07 9.3233453473948225e+07 9.2095664700327098e+07 9.0962424901158735e+07 8.9894585273744181e+07 8.8967834075228408e+07 8.8301580833277225e+07 8.8061850584578916e+07 8.8490119025144801e+07 8.9937596752302393e+07 9.2936512835799307e+07 9.8329361879978657e+07 1.0753633143103540e+08 2.4100202655289005e+07 +9.0181393797932863e+00 2.7188487973938686e+08 2.7185818768056583e+08 2.7181308389566457e+08 2.7175372877713823e+08 2.7169379078282255e+08 2.7165477704987735e+08 2.7164635241081756e+08 2.7165217421600765e+08 2.7165535224770683e+08 2.7165194180283821e+08 2.7164324853577006e+08 2.7162880990681797e+08 2.7160734359325320e+08 2.7157766724963802e+08 2.7153861323563796e+08 2.7148869295635915e+08 2.7142613889058322e+08 2.7134894053126365e+08 2.7125475259828269e+08 2.7114077871326882e+08 2.7100372217188555e+08 2.7083958535286152e+08 2.7064256216429222e+08 2.7040261111029148e+08 2.7011026914343661e+08 2.6976097171214956e+08 2.6934774439279109e+08 2.6886029146467376e+08 2.6828627186481270e+08 2.6761135738984105e+08 2.6681903180591229e+08 2.6589032878110746e+08 2.6480357215625405e+08 2.6353414156869316e+08 2.6205430090082145e+08 2.6033308069276944e+08 2.5833634374917603e+08 2.5602705523065284e+08 2.5336592214510563e+08 2.5031243373045233e+08 2.4654855857859272e+08 2.4223974480796015e+08 2.3734877401191932e+08 2.3185290746379429e+08 2.2575066992046526e+08 2.1906866256934944e+08 2.1186705827478620e+08 2.0424203523136774e+08 1.9632367436230856e+08 1.8826704934540024e+08 1.8023871923295486e+08 1.7240486143811530e+08 1.6491633679792067e+08 1.5788481512476760e+08 1.5138433641506246e+08 1.4545470194174981e+08 1.4010125603832826e+08 1.3530653895698762e+08 1.3103600173256041e+08 1.2725145291046833e+08 1.2390721072591461e+08 1.2096417537301794e+08 1.1837998650478570e+08 1.1612379964695038e+08 1.1416143509896807e+08 1.1246350027186237e+08 1.1100725530075036e+08 1.0976712519496346e+08 1.0871827012906897e+08 1.0784289540221472e+08 1.0711780815175317e+08 1.0652711805966066e+08 1.0605186679282776e+08 1.0567627889976399e+08 1.0537836197879465e+08 1.0513639971333170e+08 1.0493492861549099e+08 1.0475884880215411e+08 1.0459267824689232e+08 1.0447508223684809e+08 1.0435634094479437e+08 1.0423518225152719e+08 1.0410828017483816e+08 1.0397736753892420e+08 1.0383862039059123e+08 1.0369701090939865e+08 1.0353946173423742e+08 1.0337085121799269e+08 1.0318807688873766e+08 1.0298871610868262e+08 1.0276982495528555e+08 1.0252808703964965e+08 1.0225867718774453e+08 1.0196247980837442e+08 1.0162782455321492e+08 1.0125261872959422e+08 1.0083141826181374e+08 1.0035836444066192e+08 9.9827415442017913e+07 9.9232511046392158e+07 9.8566890746372879e+07 9.7831788167567551e+07 9.7013875689527094e+07 9.6116161460559487e+07 9.5140722070009142e+07 9.4095208403073087e+07 9.2992637937320784e+07 9.1857788027674124e+07 9.0727475503290609e+07 8.9662393593588814e+07 8.8738036167753577e+07 8.8073503849990696e+07 8.7834393001467124e+07 8.8261555293917775e+07 8.9705294246302813e+07 9.2696464298238739e+07 9.8075384187499866e+07 1.0725857211993396e+08 2.4020426074547485e+07 +9.0231077025675450e+00 2.7140157470449978e+08 2.7137492915989232e+08 2.7132990162649614e+08 2.7127064575519210e+08 2.7121080238394374e+08 2.7117183930912012e+08 2.7116340420999813e+08 2.7116918394129020e+08 2.7117231787461150e+08 2.7116886661648405e+08 2.7116013178577727e+08 2.7114564988459295e+08 2.7112413884587371e+08 2.7109441594699311e+08 2.7105531283208257e+08 2.7100534028917915e+08 2.7094272998786676e+08 2.7086547027584434e+08 2.7077121449486637e+08 2.7065716476491630e+08 2.7052002268819702e+08 2.7035578888090128e+08 2.7015865598586088e+08 2.6991858059100592e+08 2.6962609150132877e+08 2.6927661887591130e+08 2.6886318967637736e+08 2.6837550776527911e+08 2.6780123036146823e+08 2.6712602796637344e+08 2.6633338416233188e+08 2.6540433421512473e+08 2.6431720620421988e+08 2.6304738777110854e+08 2.6156715599565667e+08 2.5984556168286166e+08 2.5784849717959118e+08 2.5553896911149430e+08 2.5287774071718785e+08 2.4982437523183653e+08 2.4606098349654862e+08 2.4175315918482825e+08 2.3686385688273910e+08 2.3137053312628061e+08 2.2527191764361605e+08 2.1859480590031582e+08 2.1139952677802104e+08 2.0378234499155164e+08 1.9587332961406091e+08 1.8782742916129398e+08 1.7981096694868642e+08 1.7198978399563494e+08 1.6451434177706403e+08 1.5749592777555695e+08 1.5100823904061970e+08 1.4509079596386132e+08 1.3974875179574865e+08 1.3496453328414270e+08 1.3070354988310337e+08 1.2692760607593472e+08 1.2359106220919709e+08 1.2065486343275739e+08 1.1807671969191912e+08 1.1582583703471197e+08 1.1386810417279117e+08 1.1217418991423246e+08 1.1072140162296987e+08 1.0948422287023292e+08 1.0843787156885810e+08 1.0756459328785704e+08 1.0684125128454983e+08 1.0625199085035624e+08 1.0577789839971352e+08 1.0540323416825789e+08 1.0510605745525567e+08 1.0486470389903140e+08 1.0466374491298690e+08 1.0448811598710500e+08 1.0432237329116017e+08 1.0420508083320022e+08 1.0408664629558930e+08 1.0396580070747204e+08 1.0383922661770038e+08 1.0370865234622943e+08 1.0357026399578996e+08 1.0342901998454513e+08 1.0327187801673810e+08 1.0310370329377621e+08 1.0292140136180660e+08 1.0272255584371856e+08 1.0250423042533769e+08 1.0226311728821594e+08 1.0199440390854619e+08 1.0169897151524758e+08 1.0136518116977417e+08 1.0099094505234313e+08 1.0057083315685864e+08 1.0009900191491571e+08 9.9569425116760060e+07 9.8976058204720423e+07 9.8312158316767171e+07 9.7578955030019373e+07 9.6763156370527104e+07 9.5867762196493089e+07 9.4894843730891049e+07 9.3852032086249858e+07 9.2752311098404706e+07 9.1620394088509291e+07 9.0493002897530839e+07 8.9430673111246556e+07 8.8508704600117564e+07 8.7845889714040101e+07 8.7607397007863507e+07 8.8033455396748453e+07 8.9473463161777318e+07 9.2456902901699975e+07 9.7821921902070388e+07 1.0698137648005673e+08 2.3940891842626654e+07 +9.0280760253418038e+00 2.7091854009553748e+08 2.7089194040100574e+08 2.7084698989475900e+08 2.7078783325639743e+08 2.7072808455862862e+08 2.7068917216305023e+08 2.7068072669664574e+08 2.7068646447979093e+08 2.7068955446574008e+08 2.7068606257203639e+08 2.7067728638917494e+08 2.7066276146761560e+08 2.7064120600297964e+08 2.7061143690273929e+08 2.7057228510634077e+08 2.7052226079622304e+08 2.7045959484508282e+08 2.7038227447278482e+08 2.7028795166222805e+08 2.7017382705423439e+08 2.7003660058376372e+08 2.6987227113611281e+08 2.6967503012810773e+08 2.6943483230017412e+08 2.6914219839949179e+08 2.6879255334490037e+08 2.6837892552454543e+08 2.6789101845094362e+08 2.6731648771145684e+08 2.6664100261187261e+08 2.6584804666241291e+08 2.6491865684980467e+08 2.6383116562852839e+08 2.6256096878849798e+08 2.6108035676179379e+08 2.5935840077298835e+08 2.5736102286433467e+08 2.5505127126471871e+08 2.5238996555374759e+08 2.4933674302761731e+08 2.4557385849379528e+08 2.4126704963739428e+08 2.3637944373427862e+08 2.3088869206944817e+08 2.2479372859627563e+08 2.1812154208226085e+08 2.1093261626718095e+08 2.0332330114225167e+08 1.9542365274594924e+08 1.8738849347118792e+08 1.7938391030359575e+08 1.7157540776901507e+08 1.6411304837647033e+08 1.5710773801054192e+08 1.5063283174299926e+08 1.4472757013979086e+08 1.3939691633892840e+08 1.3462318440052947e+08 1.3037174280777891e+08 1.2660439243133107e+08 1.2327553598709099e+08 1.2034616375490344e+08 1.1777405602142769e+08 1.1552846940196595e+08 1.1357536098447299e+08 1.1188546092656823e+08 1.1043612378609340e+08 1.0920189161812142e+08 1.0815803999135967e+08 1.0728685469281723e+08 1.0656525500643951e+08 1.0597742178799908e+08 1.0550448612990454e+08 1.0513074390702903e+08 1.0483430603949955e+08 1.0459356003466995e+08 1.0439311216076422e+08 1.0421793322594616e+08 1.0405261752745925e+08 1.0393562800673951e+08 1.0381749960065570e+08 1.0369696648165330e+08 1.0357071971243654e+08 1.0344048311768380e+08 1.0330245283510114e+08 1.0316157355353400e+08 1.0300483796544252e+08 1.0283709815025440e+08 1.0265526765547268e+08 1.0245693635239364e+08 1.0223917551931491e+08 1.0199868589113964e+08 1.0173066756773011e+08 1.0143599860843547e+08 1.0110307141514334e+08 1.0072980303362057e+08 1.0031077749844097e+08 9.9840166351556718e+07 9.9311958965738013e+07 9.8720126413345084e+07 9.8057943441010952e+07 9.7326635589596450e+07 9.6512946453679129e+07 9.5619867620673925e+07 9.4649464957912579e+07 9.3609349845575765e+07 9.2512472545904055e+07 9.1383482476763293e+07 9.0259006682777345e+07 8.9199423430230826e+07 8.8279838979968756e+07 8.7618738036008894e+07 8.7380862215272367e+07 8.7805818943276286e+07 8.9242103102026165e+07 9.2217828236282602e+07 9.7568974590185881e+07 1.0670474403719631e+08 2.3861599324775722e+07 +9.0330443481160625e+00 2.7043577791839397e+08 2.7040922546207094e+08 2.7036435111745334e+08 2.7030529370972222e+08 2.7024563978939396e+08 2.7020677808040804e+08 2.7019832233700120e+08 2.7020401829890782e+08 2.7020706448855388e+08 2.7020353213688201e+08 2.7019471481246734e+08 2.7018014712224078e+08 2.7015854753011739e+08 2.7012873258170652e+08 2.7008953252260703e+08 2.7003945693988669e+08 2.6997673592334092e+08 2.6989935558136415e+08 2.6980496655764836e+08 2.6969076803577799e+08 2.6955345831040025e+08 2.6938903456605130e+08 2.6919168703408897e+08 2.6895136867601156e+08 2.6865859226901960e+08 2.6830877754333380e+08 2.6789495435167584e+08 2.6740682592485499e+08 2.6683204630497977e+08 2.6615628370139840e+08 2.6536302166314098e+08 2.6443329902164450e+08 2.6334545274022993e+08 2.6207488690375313e+08 2.6059390544695726e+08 2.5887160017084703e+08 2.5687392296443799e+08 2.5456396379664305e+08 2.5190259869744527e+08 2.4884953908695424e+08 2.4508718544789490e+08 2.4078141793800804e+08 2.3589553621745408e+08 2.3040738580783933e+08 2.2431610414093181e+08 2.1764887231234571e+08 2.1046632776351219e+08 2.0286490452207273e+08 1.9497464441255441e+08 1.8695024275100076e+08 1.7895754960699663e+08 1.7116173291647893e+08 1.6371245662288246e+08 1.5672024574583524e+08 1.5025811434873113e+08 1.4436502422505945e+08 1.3904574936860088e+08 1.3428249196491277e+08 1.3004058013408007e+08 1.2628181158054902e+08 1.2296063164577134e+08 1.2003807591182707e+08 1.1747199505550312e+08 1.1523169630280754e+08 1.1328320508207862e+08 1.1159731285213614e+08 1.1015142132961255e+08 1.0892013097545984e+08 1.0787877493120861e+08 1.0700967915031029e+08 1.0628981884956637e+08 1.0570341040428950e+08 1.0523162951493411e+08 1.0485880764788902e+08 1.0456310726351959e+08 1.0432296765306318e+08 1.0412302989203520e+08 1.0394830005257930e+08 1.0378341049057497e+08 1.0366672329238975e+08 1.0354890039579840e+08 1.0342867911032115e+08 1.0330275899574572e+08 1.0317285939067632e+08 1.0303518644641891e+08 1.0289467115500152e+08 1.0273834111981714e+08 1.0257103532747905e+08 1.0238967531074996e+08 1.0219185717643811e+08 1.0197465978001446e+08 1.0173479239231160e+08 1.0146746771013720e+08 1.0117356063424101e+08 1.0084149483723627e+08 1.0046919222277072e+08 1.0005125083796011e+08 9.9581857304065049e+07 9.9055016544767126e+07 9.8464715230713531e+07 9.7804245680503279e+07 9.7074829411002144e+07 9.6263245507413089e+07 9.5372477305370852e+07 9.4404585327748895e+07 9.3367161262290224e+07 9.2273121866173163e+07 9.1147052783607721e+07 9.0025486455401435e+07 8.8968644151675269e+07 8.8051438912360474e+07 8.7392048423967600e+07 8.7154788232994124e+07 8.7578645540935010e+07 8.9011213668024242e+07 9.1979239889565349e+07 9.7316541815441936e+07 1.0642867431403407e+08 2.3782547887417149e+07 +9.0380126708903212e+00 2.6995329164699519e+08 2.6992678441997683e+08 2.6988198802613795e+08 2.6982302962745523e+08 2.6976347054299641e+08 2.6972465951790380e+08 2.6971619358484089e+08 2.6972184785344130e+08 2.6972485039773381e+08 2.6972127776565570e+08 2.6971241951031214e+08 2.6969780930212826e+08 2.6967616587996304e+08 2.6964630543600166e+08 2.6960705753168607e+08 2.6955693116996890e+08 2.6949415567115438e+08 2.6941671604835391e+08 2.6932226162532538e+08 2.6920799015125096e+08 2.6907059830634344e+08 2.6890608160550594e+08 2.6870862913469583e+08 2.6846819214307082e+08 2.6817527552845576e+08 2.6782529388163438e+08 2.6741127855939785e+08 2.6692293257767707e+08 2.6634790851991269e+08 2.6567187359738183e+08 2.6487831150911635e+08 2.6394826305395344e+08 2.6286006983818734e+08 2.6158914438562116e+08 2.6010780428649783e+08 2.5838516207175976e+08 2.5638719962811506e+08 2.5407704880087769e+08 2.5141564217860153e+08 2.4836276536652830e+08 2.4460096622413251e+08 2.4029626584606865e+08 2.3541213597127202e+08 2.2992661584385335e+08 2.2383904562880579e+08 2.1717679777640295e+08 2.1000066227702823e+08 2.0240715595852995e+08 1.9452630525893179e+08 1.8651267746809351e+08 1.7853188515916908e+08 1.7074875958808580e+08 1.6331256653564653e+08 1.5633345089122424e+08 1.4988408667823991e+08 1.4400315796986276e+08 1.3869525058049193e+08 1.3394245563177833e+08 1.2971006148504263e+08 1.2595986312299839e+08 1.2264634876705338e+08 1.1973059947213143e+08 1.1717053635253550e+08 1.1493551728792593e+08 1.1299163601025568e+08 1.1130974523088823e+08 1.0986729379001574e+08 1.0863894047563812e+08 1.0760007591996963e+08 1.0673306619039196e+08 1.0601494234318714e+08 1.0542995622806151e+08 1.0495932808352478e+08 1.0458742491972925e+08 1.0429246065662748e+08 1.0405292628382500e+08 1.0385349763729438e+08 1.0367921599826162e+08 1.0351475171226823e+08 1.0339836622271986e+08 1.0328084821385323e+08 1.0316093812692235e+08 1.0303534400151171e+08 1.0290578069957428e+08 1.0276846436510631e+08 1.0262831232469401e+08 1.0247238701634070e+08 1.0230551436272007e+08 1.0212462386567828e+08 1.0192731785477604e+08 1.0171068274739484e+08 1.0147143633265986e+08 1.0120480387818596e+08 1.0091165713618596e+08 1.0058045098091504e+08 1.0020911216663554e+08 9.9792252723931238e+07 9.9324074323118567e+07 9.8798597407018811e+07 9.8209824212637022e+07 9.7551064594050229e+07 9.6823536056240708e+07 9.6014053097308695e+07 9.5125590820342049e+07 9.4160204414475411e+07 9.3125465915208235e+07 9.2034258642825305e+07 9.0911104597920626e+07 8.9792441809212849e+07 8.8738334874140471e+07 8.7823504000229597e+07 8.7165820483653158e+07 8.6929174667836860e+07 8.7351934794514701e+07 8.8780794458118290e+07 9.1741137446595207e+07 9.7064623138791814e+07 1.0615316683044532e+08 2.3703736898146942e+07 +9.0429809936645800e+00 2.6947108462973899e+08 2.6944462337863803e+08 2.6939990294656080e+08 2.6934104352226400e+08 2.6928157926017690e+08 2.6924281892039037e+08 2.6923434288147503e+08 2.6923995558546031e+08 2.6924291463515413e+08 2.6923930190022528e+08 2.6923040292352641e+08 2.6921575044819820e+08 2.6919406349308723e+08 2.6916415790524650e+08 2.6912486257204121e+08 2.6907468592380434e+08 2.6901185652403712e+08 2.6893435830724496e+08 2.6883983929709160e+08 2.6872549582976186e+08 2.6858802299765813e+08 2.6842341467697388e+08 2.6822585884755474e+08 2.6798530511421055e+08 2.6769225058392674e+08 2.6734210475808594e+08 2.6692790053640237e+08 2.6643934078726444e+08 2.6586407672098064e+08 2.6518777464950404e+08 2.6439391853217405e+08 2.6346355125732839e+08 2.6237501920821443e+08 2.6110374349117574e+08 2.5962205550267076e+08 2.5789908865821174e+08 2.5590085499112695e+08 2.5359052835840347e+08 2.5092909801471770e+08 2.4787642381065544e+08 2.4411520267512900e+08 2.3981159510866153e+08 2.3492924462228480e+08 2.2944638366805455e+08 2.2336255439913997e+08 2.1670531964921674e+08 2.0953562080688822e+08 2.0195005626959440e+08 1.9407863592015970e+08 1.8607579808011788e+08 1.7810691725236154e+08 1.7033648792613062e+08 1.6291337812710604e+08 1.5594735334964868e+08 1.4951074854620880e+08 1.4364197111869541e+08 1.3834541966510528e+08 1.3360307505051196e+08 1.2938018647926895e+08 1.2563854665422539e+08 1.2233268692919675e+08 1.1942373400074559e+08 1.1686967946753411e+08 1.1463993190456359e+08 1.1270065331032743e+08 1.1102275759969017e+08 1.0958374070038611e+08 1.0835831964940412e+08 1.0732194248608604e+08 1.0645701534010766e+08 1.0574062501365431e+08 1.0515705878506233e+08 1.0468758136140680e+08 1.0431659524833386e+08 1.0402236574522284e+08 1.0378343545403200e+08 1.0358451492397252e+08 1.0341068059099039e+08 1.0324664072129145e+08 1.0313055632687262e+08 1.0301334258475623e+08 1.0289374306180696e+08 1.0276847426086073e+08 1.0263924657627586e+08 1.0250228612326862e+08 1.0236249659553553e+08 1.0220697518848623e+08 1.0204053479023615e+08 1.0186011285537250e+08 1.0166331792356579e+08 1.0144724395842847e+08 1.0120861725044318e+08 1.0094267561112137e+08 1.0065028765503475e+08 1.0031993938858303e+08 9.9949562408975735e+07 9.9533782702211916e+07 9.9066816956694946e+07 9.8542701102668762e+07 9.7955452911995724e+07 9.7298399737650871e+07 9.6572755084668756e+07 9.5765368786381811e+07 9.4879207732612520e+07 9.3916321789474770e+07 9.2884263380486205e+07 9.1795882456985399e+07 9.0675637505889028e+07 8.9559872335510969e+07 8.8508495193710625e+07 8.7596033843802184e+07 8.6940053818364933e+07 8.6704021124040097e+07 8.7125686306471437e+07 8.8550845068267807e+07 9.1503520489847466e+07 9.6813218118499145e+07 1.0587822110327667e+08 2.3625165725735154e+07 +9.0479493164388387e+00 2.6898915648571092e+08 2.6896274166720480e+08 2.6891809825421941e+08 2.6885933782130927e+08 2.6879996835308141e+08 2.6876125871879429e+08 2.6875277265531564e+08 2.6875834392455804e+08 2.6876125963012570e+08 2.6875760696926415e+08 2.6874866748124540e+08 2.6873397298852974e+08 2.6871224279656011e+08 2.6868229241595155e+08 2.6864295006955850e+08 2.6859272362583876e+08 2.6852984090483302e+08 2.6845228477946371e+08 2.6835770199161249e+08 2.6824328748765180e+08 2.6810573479767621e+08 2.6794103618987605e+08 2.6774337857785410e+08 2.6750270998912823e+08 2.6720951982855755e+08 2.6685921255789205e+08 2.6644482265879330e+08 2.6595605291886529e+08 2.6538055326046437e+08 2.6470398919489747e+08 2.6390984505138576e+08 2.6297916592972413e+08 2.6189030312328768e+08 2.6061868646430069e+08 2.5913666130545887e+08 2.5741338209979630e+08 2.5541489117610100e+08 2.5310440453768080e+08 2.5044296821060178e+08 2.4739051635064468e+08 2.4362989664129341e+08 2.3932740746085110e+08 2.3444686378480268e+08 2.2896669075897530e+08 2.2288663177934396e+08 2.1623443909398091e+08 2.0907120434168157e+08 2.0149360626233178e+08 1.9363163702156943e+08 1.8563960503608754e+08 1.7768264616992185e+08 1.6992491806534317e+08 1.6251489140218499e+08 1.5556195301791790e+08 1.4913809976100883e+08 1.4328146341074264e+08 1.3799625630792341e+08 1.3326434986595500e+08 1.2905095473096134e+08 1.2531786176559936e+08 1.2201964570611620e+08 1.1911747905887809e+08 1.1656942395173721e+08 1.1434493969643244e+08 1.1241025652011114e+08 1.1073634949178143e+08 1.0930076159066944e+08 1.0807826802399069e+08 1.0704437415508731e+08 1.0618152612375520e+08 1.0546686638407148e+08 1.0488471759812370e+08 1.0441638887134682e+08 1.0404631815689282e+08 1.0375282205266410e+08 1.0351449468755896e+08 1.0331608127685702e+08 1.0314269335620867e+08 1.0297907704382776e+08 1.0286329313154694e+08 1.0274638303553022e+08 1.0262709344278227e+08 1.0250214930202068e+08 1.0237325654935846e+08 1.0223665125039752e+08 1.0209722349759547e+08 1.0194210516715638e+08 1.0177609614164971e+08 1.0159614181228074e+08 1.0139985691601865e+08 1.0118434294751158e+08 1.0094633468092310e+08 1.0068108244560699e+08 1.0038945172870944e+08 1.0005995959951244e+08 9.9690542491052926e+07 9.9275840315902114e+07 9.8810084749977976e+07 9.8287327179444939e+07 9.7701600879163668e+07 9.7046250664597839e+07 9.6322486052902654e+07 9.5517192135094672e+07 9.4633327606659487e+07 9.3672937021691412e+07 9.2643553231666490e+07 9.1557992887252137e+07 9.0440651091232046e+07 8.9327777623222709e+07 8.8279124704062641e+07 8.7369028040791497e+07 8.6714748028877303e+07 8.6479327203711241e+07 8.6899899676875040e+07 8.8321365091932118e+07 9.1266388599206582e+07 9.6562326310036406e+07 1.0560383664647700e+08 2.3546833740126193e+07 +9.0529176392130974e+00 2.6850751153764832e+08 2.6848114217840159e+08 2.6843657625966758e+08 2.6837791489056566e+08 2.6831864020925790e+08 2.6827998133145061e+08 2.6827148532304755e+08 2.6827701528790191e+08 2.6827988779935613e+08 2.6827619538988104e+08 2.6826721559940901e+08 2.6825247933881083e+08 2.6823070620582181e+08 2.6820071138242954e+08 2.6816132243717656e+08 2.6811104668779600e+08 2.6804811122409594e+08 2.6797049787341997e+08 2.6787585211544544e+08 2.6776136752851185e+08 2.6762373610681510e+08 2.6745894854096273e+08 2.6726119071782181e+08 2.6702040915495533e+08 2.6672708564308417e+08 2.6637661965391356e+08 2.6596204729009345e+08 2.6547307132484365e+08 2.6489734047832477e+08 2.6422051955796385e+08 2.6342609337326521e+08 2.6249510935639954e+08 2.6140592384423405e+08 2.6013397553589943e+08 2.5865162389171872e+08 2.5692804455347836e+08 2.5492931029344636e+08 2.5261867939418417e+08 2.4995725475869709e+08 2.4690504490541834e+08 2.4314504995029631e+08 2.3884370462504205e+08 2.3396499506135675e+08 2.2848753858316022e+08 2.2241127908586296e+08 2.1576415726262572e+08 2.0860741385871866e+08 2.0103780673364431e+08 1.9318530917873257e+08 1.8520409877557045e+08 1.7725907218689811e+08 1.6951405013236874e+08 1.6211710635908937e+08 1.5517724978608617e+08 1.4876614012537080e+08 1.4292163457953298e+08 1.3764776018947148e+08 1.3292627971829540e+08 1.2872236585010359e+08 1.2499780804444124e+08 1.2170722466812453e+08 1.1881183420401031e+08 1.1626976935304028e+08 1.1405054020405954e+08 1.1212044517441703e+08 1.1045052043769853e+08 1.0901835598783891e+08 1.0779878512369457e+08 1.0676737044934706e+08 1.0590659806227587e+08 1.0519366597491866e+08 1.0461293218736190e+08 1.0414575013343394e+08 1.0377659316560261e+08 1.0348382909958769e+08 1.0324610350567894e+08 1.0304819621766812e+08 1.0287525381632110e+08 1.0271206020301054e+08 1.0259657616038105e+08 1.0247996909054485e+08 1.0236098879449821e+08 1.0223636865029524e+08 1.0210781014492452e+08 1.0197155927311470e+08 1.0183249255809195e+08 1.0167777648030081e+08 1.0151219794575067e+08 1.0133271026588869e+08 1.0113693436267689e+08 1.0092197924609815e+08 1.0068458815679079e+08 1.0042002391553441e+08 1.0012914889231519e+08 9.9800511150503188e+07 9.9432051951191276e+07 9.9018425105285823e+07 9.8553877245459422e+07 9.8032475182216391e+07 9.7448267661803991e+07 9.6794616925595313e+07 9.6072728514942005e+07 9.5269522701053441e+07 9.4387950004192084e+07 9.3430049677359045e+07 9.2403335039828598e+07 9.1320589509780735e+07 9.0206144935201809e+07 8.9096157258638665e+07 8.8050222996483222e+07 8.7142486186842203e+07 8.6489902713784069e+07 8.6255092506290600e+07 8.6674574503299847e+07 8.8092354120201930e+07 9.1029741352063328e+07 9.6311947266376391e+07 1.0533001297101514e+08 2.3468740312439237e+07 +9.0578859619873562e+00 2.6802615322915921e+08 2.6799982803658456e+08 2.6795533975461525e+08 2.6789677708602428e+08 2.6783759720502585e+08 2.6779898916255504e+08 2.6779048328828135e+08 2.6779597207967436e+08 2.6779880154687050e+08 2.6779506956569257e+08 2.6778604968174070e+08 2.6777127190211838e+08 2.6774945612264794e+08 2.6771941720582962e+08 2.6767998207527661e+08 2.6762965750919384e+08 2.6756666987916717e+08 2.6748899998483714e+08 2.6739429206199938e+08 2.6727973834341446e+08 2.6714202931294021e+08 2.6697715411443594e+08 2.6677929764736992e+08 2.6653840498581952e+08 2.6624495039514852e+08 2.6589432840620750e+08 2.6547957678111190e+08 2.6499039834504882e+08 2.6441444070084411e+08 2.6373736805011117e+08 2.6294266579113346e+08 2.6201138381011465e+08 2.6092188361806044e+08 2.5964961292525735e+08 2.5816694544596401e+08 2.5644307816390663e+08 2.5444411444082484e+08 2.5213335497148883e+08 2.4947195963876054e+08 2.4642001138173550e+08 2.4266066441741380e+08 2.3836048831157103e+08 2.3348364004183346e+08 2.2800892859541118e+08 2.2193649762274513e+08 2.1529447529579541e+08 2.0814425032486463e+08 2.0058265847019538e+08 1.9273965299754995e+08 1.8476927972921577e+08 1.7683619557021105e+08 1.6910388424642238e+08 1.6172002298876551e+08 1.5479324353788865e+08 1.4839486943624660e+08 1.4256248435361946e+08 1.3729993098536748e+08 1.3258886424312030e+08 1.2839441944225235e+08 1.2467838507373056e+08 1.2139542338172974e+08 1.1850679898983651e+08 1.1597071521549912e+08 1.1375673296428332e+08 1.1183121880468971e+08 1.1016526996436021e+08 1.0873652341566141e+08 1.0751987046999995e+08 1.0649093088837637e+08 1.0563223067384893e+08 1.0492102330358371e+08 1.0434170206966008e+08 1.0387566466458929e+08 1.0350741979159181e+08 1.0321538640370968e+08 1.0297826142663306e+08 1.0278085926543573e+08 1.0260836149105000e+08 1.0244558971920355e+08 1.0233040493433717e+08 1.0221410027111682e+08 1.0209542863908635e+08 1.0197113182832937e+08 1.0184290688613924e+08 1.0170700971529128e+08 1.0156830330150232e+08 1.0141398865305537e+08 1.0124883972839244e+08 1.0106981774319842e+08 1.0087454979121652e+08 1.0066015238282932e+08 1.0042337720784919e+08 1.0015949955185337e+08 9.9869378678378358e+07 9.9541593575553969e+07 9.9174090325229138e+07 9.8761536607998610e+07 9.8298193982931182e+07 9.7778144653264552e+07 9.7195452804872438e+07 9.6543498068635821e+07 9.5823482022158101e+07 9.5022360039436847e+07 9.4143074484552860e+07 9.3187659320181489e+07 9.2163608373441577e+07 9.1083671897995144e+07 8.9972118616573676e+07 8.8865010825809315e+07 8.7821789659779027e+07 8.6916407874894515e+07 8.6265517469205037e+07 8.6031316629069567e+07 8.6449710380997434e+07 8.7863811741685972e+07 9.0793578323428735e+07 9.6062080537757814e+07 1.0505674958498485e+08 2.3390884814968489e+07 +9.0628542847616149e+00 2.6754508174923530e+08 2.6751880383988732e+08 2.6747439115524322e+08 2.6741592679142120e+08 2.6735684171602890e+08 2.6731828460354787e+08 2.6730976894284329e+08 2.6731521669149977e+08 2.6731800326423880e+08 2.6731423188812849e+08 2.6730517211873701e+08 2.6729035306856135e+08 2.6726849493702611e+08 2.6723841227523783e+08 2.6719893137187529e+08 2.6714855847591183e+08 2.6708551925533834e+08 2.6700779349724251e+08 2.6691302421275210e+08 2.6679840231067425e+08 2.6666061679165956e+08 2.6649565528207627e+08 2.6629770173380238e+08 2.6605669984395260e+08 2.6576311644016445e+08 2.6541234116236195e+08 2.6499741347003525e+08 2.6450803630675840e+08 2.6393185624264127e+08 2.6325453697061005e+08 2.6245956458654267e+08 2.6152799155059320e+08 2.6043818468056080e+08 2.5916560083757374e+08 2.5768262814027098e+08 2.5595848506248495e+08 2.5395930570333183e+08 2.5164843329978555e+08 2.4898708481803161e+08 2.4593541767341107e+08 2.4217674184586519e+08 2.3787776021839356e+08 2.3300280030442187e+08 2.2753086223838493e+08 2.2146228868282917e+08 2.1482539432315993e+08 2.0768171469592080e+08 2.0012816224833646e+08 1.9229466907456294e+08 1.8433514831884074e+08 1.7641401657831302e+08 1.6869442051910654e+08 1.6132364127522668e+08 1.5440993415061295e+08 1.4802428748438850e+08 1.4220401245570874e+08 1.3695276836619854e+08 1.3225210307137683e+08 1.2806711510877599e+08 1.2435959243265292e+08 1.2108424140940037e+08 1.1820237296657737e+08 1.1567226108016741e+08 1.1346351751079985e+08 1.1154257693896946e+08 1.0988059759577522e+08 1.0845526339491083e+08 1.0724152358093759e+08 1.0621505498868467e+08 1.0535842347392349e+08 1.0464893788465796e+08 1.0407102675934331e+08 1.0360613197920813e+08 1.0323879754951616e+08 1.0294749347990724e+08 1.0271096796610017e+08 1.0251406993639880e+08 1.0234201589731954e+08 1.0217966511004619e+08 1.0206477897159812e+08 1.0194877609598868e+08 1.0183041249572927e+08 1.0170643835587731e+08 1.0157854629345134e+08 1.0144300209790696e+08 1.0130465524955650e+08 1.0115074120792469e+08 1.0098602101290284e+08 1.0080746376809153e+08 1.0061270272663082e+08 1.0039886188386959e+08 1.0016270136117499e+08 9.9899508882994086e+07 9.9610140616472289e+07 9.9283206405782059e+07 9.8916657145902544e+07 9.8505174358871311e+07 9.8043034499487862e+07 9.7524335132047027e+07 9.6943155850608513e+07 9.6292893639097616e+07 9.5574746123303369e+07 9.4775703702781558e+07 9.3898700604351997e+07 9.2945765511304051e+07 9.1924372798525259e+07 9.0847239623018086e+07 8.9738571711677536e+07 8.8634337906297863e+07 8.7593824280293807e+07 8.6690792695682481e+07 8.6041591888833225e+07 8.5807999166871518e+07 8.6225306902931213e+07 8.7635737542655393e+07 9.0557899085659549e+07 9.5812725671833396e+07 1.0478404599377175e+08 2.3313266621183600e+07 +9.0678226075358737e+00 2.6706429981660351e+08 2.6703806850729224e+08 2.6699373252519503e+08 2.6693536644077688e+08 2.6687637612403134e+08 2.6683787003290543e+08 2.6682934466579610e+08 2.6683475150297382e+08 2.6683749533043966e+08 2.6683368473594904e+08 2.6682458528892148e+08 2.6680972521608183e+08 2.6678782502601272e+08 2.6675769896685138e+08 2.6671817270209780e+08 2.6666775196266076e+08 2.6660466172511727e+08 2.6652688078097573e+08 2.6643205093588337e+08 2.6631736179662219e+08 2.6617950090547931e+08 2.6601445440309021e+08 2.6581640533152831e+08 2.6557529607834974e+08 2.6528158612083164e+08 2.6493066025706446e+08 2.6451555968250927e+08 2.6402598752463615e+08 2.6344958940541226e+08 2.6277202860582805e+08 2.6197679202766803e+08 2.6104493482545513e+08 2.5995482925425509e+08 2.5868194146716765e+08 2.5719867413350517e+08 2.5547426736892319e+08 2.5347488615335327e+08 2.5116391639723101e+08 2.4850263225144771e+08 2.4545126566211718e+08 2.4169328402635369e+08 2.3739552203160208e+08 2.3252247741519290e+08 2.2705334094348407e+08 2.2098865354746422e+08 2.1435691546318734e+08 2.0721980791740549e+08 1.9967431883452484e+08 1.9185035799618787e+08 1.8390170495700845e+08 1.7599253546125659e+08 1.6828565905400470e+08 1.6092796119554883e+08 1.5402732149521038e+08 1.4765439405483505e+08 1.4184621860342091e+08 1.3660627199746078e+08 1.3191599582953660e+08 1.2774045244645557e+08 1.2404142969635107e+08 1.2077367831006506e+08 1.1789855568078224e+08 1.1537440648422511e+08 1.1317089337388906e+08 1.1125451910213575e+08 1.0959650285282391e+08 1.0817457544317636e+08 1.0696374397187372e+08 1.0593974226377039e+08 1.0508517597470710e+08 1.0437740922973193e+08 1.0380090576777488e+08 1.0333715158842416e+08 1.0297072595104769e+08 1.0268014984051734e+08 1.0244422263663946e+08 1.0224782774389264e+08 1.0207621654913796e+08 1.0191428589030828e+08 1.0179969778740703e+08 1.0168399608105189e+08 1.0156593988083376e+08 1.0144228775016680e+08 1.0131472788445178e+08 1.0117953593939774e+08 1.0104154792115523e+08 1.0088803366459548e+08 1.0072374131969206e+08 1.0054564786187105e+08 1.0035139269118924e+08 1.0013810727230902e+08 9.9902560141166940e+07 9.9640051434547544e+07 9.9351434233755454e+07 9.9025349169862688e+07 9.8659751943693891e+07 9.8249337890321583e+07 9.7788398329526439e+07 9.7271046155549094e+07 9.6691376338707775e+07 9.6042803179784834e+07 9.5326520364548162e+07 9.4529553240952671e+07 9.3654827917734236e+07 9.2704367809360743e+07 9.1685627878523514e+07 9.0611292253469869e+07 8.9505503794336498e+07 8.8404138079105124e+07 8.7366326442197770e+07 8.6465640237584993e+07 8.5818125564120159e+07 8.5585139712326646e+07 8.6001363659623921e+07 8.7408131106876656e+07 9.0322703208780259e+07 9.5563882213604853e+07 1.0451190169963966e+08 2.3235885105729904e+07 +9.0727909303101324e+00 2.6658381110071674e+08 2.6655762543284971e+08 2.6651336616686180e+08 2.6645509848875633e+08 2.6639620281400368e+08 2.6635774781702456e+08 2.6634921282402956e+08 2.6635457888054064e+08 2.6635728011157781e+08 2.6635343047504094e+08 2.6634429155814859e+08 2.6632939071005133e+08 2.6630744875406593e+08 2.6627727964450926e+08 2.6623770842857128e+08 2.6618724033070475e+08 2.6612409964852509e+08 2.6604626419447780e+08 2.6595137458742416e+08 2.6583661915416285e+08 2.6569868400476199e+08 2.6553355382367370e+08 2.6533541078275523e+08 2.6509419602571014e+08 2.6480036176750147e+08 2.6444928801275817e+08 2.6403401773157746e+08 2.6354425430091321e+08 2.6296764247851789e+08 2.6228984522972405e+08 2.6149435037073028e+08 2.6056221586933696e+08 2.5947181954894161e+08 2.5819863699434066e+08 2.5671508557273224e+08 2.5499042718973434e+08 2.5299085785099995e+08 2.5067980626928762e+08 2.4801860388118595e+08 2.4496755721717361e+08 2.4121029273734102e+08 2.3691377542434317e+08 2.3204267292841873e+08 2.2657636612985140e+08 2.2051559348669869e+08 2.1388903982309750e+08 2.0675853092372563e+08 1.9922112898454899e+08 1.9140672033959666e+08 1.8346895004747033e+08 1.7557175246106654e+08 1.6787759994777489e+08 1.6053298271978652e+08 1.5364540543641910e+08 1.4728518892715284e+08 1.4148910250902739e+08 1.3626044154018673e+08 1.3158054213939062e+08 1.2741443104843250e+08 1.2372389643604138e+08 1.2046373363864729e+08 1.1759534667542666e+08 1.1507715096154590e+08 1.1287886008043875e+08 1.1096704481594695e+08 1.0931298525297731e+08 1.0789445907494335e+08 1.0668653115495534e+08 1.0566499222424933e+08 1.0481248768569867e+08 1.0410643684764996e+08 1.0353133860346951e+08 1.0306872300111264e+08 1.0270320450494488e+08 1.0241335499469592e+08 1.0217802494835009e+08 1.0198213219862467e+08 1.0181096295789109e+08 1.0164945157210337e+08 1.0153516089444786e+08 1.0141975973945561e+08 1.0130201030821228e+08 1.0117867952532613e+08 1.0105145117415826e+08 1.0091661075521858e+08 1.0077898083253591e+08 1.0062586553997336e+08 1.0046200016650794e+08 1.0028436954325363e+08 1.0009061920441790e+08 9.9877888068740875e+07 9.9642953069554225e+07 9.9381126729561180e+07 9.9093259054307565e+07 9.8768021393652380e+07 9.8403374246130839e+07 9.7994026731788516e+07 9.7534285004948184e+07 9.7018277257959992e+07 9.6440113806143314e+07 9.5793226230732247e+07 9.5078804289476365e+07 9.4283908201458946e+07 9.3411455976255670e+07 9.2463465770548567e+07 9.1447373174531206e+07 9.0375829355489969e+07 8.9272914436091885e+07 8.8174410921066150e+07 8.7139295727127507e+07 8.6240950086519971e+07 8.5595118084269494e+07 8.5362737855609462e+07 8.5777880239310384e+07 8.7180992016023085e+07 9.0087990260301307e+07 9.5315549705531090e+07 1.0424031620231232e+08 2.3158739644428685e+07 +9.0777592530843911e+00 2.6610361613527969e+08 2.6607747669913444e+08 2.6603329460960627e+08 2.6597512532701552e+08 2.6591632416786599e+08 2.6587792031025419e+08 2.6586937577198085e+08 2.6587470117852345e+08 2.6587735996213651e+08 2.6587347145956621e+08 2.6586429327946380e+08 2.6584935190276971e+08 2.6582736847323477e+08 2.6579715665939862e+08 2.6575754090153742e+08 2.6570702592880902e+08 2.6564383537296605e+08 2.6556594608329549e+08 2.6547099751075602e+08 2.6535617672429368e+08 2.6521816842702070e+08 2.6505295587784433e+08 2.6485472041694757e+08 2.6461340201052305e+08 2.6431944569773564e+08 2.6396822673932174e+08 2.6355278991765821e+08 2.6306283892480096e+08 2.6248601773827732e+08 2.6180798910374212e+08 2.6101224185897321e+08 2.6007983690462679e+08 2.5898915776212588e+08 2.5771568958760831e+08 2.5623186459181827e+08 2.5450696661910364e+08 2.5250722284376770e+08 2.5019610490936252e+08 2.4753500163730490e+08 2.4448429419543508e+08 2.4072776974480084e+08 2.3643252205849254e+08 2.3156338838588381e+08 2.2609993920523939e+08 2.2004310975860512e+08 2.1342176849916828e+08 2.0629788463903648e+08 1.9876859344451666e+08 1.9096375667258605e+08 1.8303688398524588e+08 1.7515166781127828e+08 1.6747024328875569e+08 1.6013870581109381e+08 1.5326418583247191e+08 1.4691667187475932e+08 1.4113266387972495e+08 1.3591527665022939e+08 1.3124574161829798e+08 1.2708905050304274e+08 1.2340699221874323e+08 1.2015440694636206e+08 1.1729274548974136e+08 1.1478049404244711e+08 1.1258741715418214e+08 1.1068015359885892e+08 1.0903004431092043e+08 1.0761491380193532e+08 1.0640988463967447e+08 1.0539080437775551e+08 1.0454035811353503e+08 1.0383602024437375e+08 1.0326232477223876e+08 1.0280084572297023e+08 1.0243623271750723e+08 1.0214710844919196e+08 1.0191237440835820e+08 1.0171698280843003e+08 1.0154625463216399e+08 1.0138516166471797e+08 1.0127116780251521e+08 1.0115606658161460e+08 1.0103862328871620e+08 1.0091561319298017e+08 1.0078871567464881e+08 1.0065422605825458e+08 1.0051695349732506e+08 1.0036423634831356e+08 1.0020079706839789e+08 1.0002362832803605e+08 9.9830381783107489e+07 9.9618203791111633e+07 9.9383879665209532e+07 9.9122734288153350e+07 9.8835614600005373e+07 9.8511222600238889e+07 9.8147523578281090e+07 9.7739240410300434e+07 9.7280694054871961e+07 9.6766027970998138e+07 9.6189367787532717e+07 9.5544162329673737e+07 9.4831597439081818e+07 9.4038768129090130e+07 9.3168584329000399e+07 9.2223058948473409e+07 9.1209608245097697e+07 9.0140850492874980e+07 8.9040803205867141e+07 8.7945156006437495e+07 8.6912731714496866e+07 8.6016721826287866e+07 8.5372569035880774e+07 8.5140793184681550e+07 8.5554856227948844e+07 8.6954319849082217e+07 8.9853759805379555e+07 9.5067727687547669e+07 1.0396928899852571e+08 2.3081829614277545e+07 +9.0827275758586499e+00 2.6562371965792525e+08 2.6559762429904187e+08 2.6555352006703627e+08 2.6549544924461499e+08 2.6543674255467844e+08 2.6539838985557562e+08 2.6538983585197118e+08 2.6539512073891830e+08 2.6539773722324434e+08 2.6539381003050873e+08 2.6538459279384801e+08 2.6536961113505039e+08 2.6534758652318192e+08 2.6531733235042763e+08 2.6527767245911452e+08 2.6522711109369227e+08 2.6516387123336816e+08 2.6508592878037718e+08 2.6499092203688240e+08 2.6487603683537304e+08 2.6473795649766791e+08 2.6457266288709149e+08 2.6437433655109698e+08 2.6413291634396270e+08 2.6383884021641415e+08 2.6348747873389256e+08 2.6307187852893928e+08 2.6258174367367414e+08 2.6200471744884956e+08 2.6132646247649857e+08 2.6053046872338375e+08 2.5959780014121276e+08 2.5850684607897812e+08 2.5723310140265405e+08 2.5574901331267402e+08 2.5402388773888841e+08 2.5202398316667098e+08 2.4971281429787460e+08 2.4705182743734744e+08 2.4400147844149438e+08 2.4024571680275130e+08 2.3595176358356842e+08 2.3108462531816530e+08 2.2562406156525218e+08 2.1957120361036506e+08 2.1295510257643461e+08 2.0583786997648004e+08 1.9831671295039886e+08 1.9052146755305675e+08 1.8260550715647483e+08 1.7473228173751506e+08 1.6706358915844154e+08 1.5974513042588398e+08 1.5288366253550631e+08 1.4654884266563317e+08 1.4077690241700006e+08 1.3557077697843844e+08 1.3091159387915497e+08 1.2676431039474522e+08 1.2309071660778116e+08 1.1984569778086251e+08 1.1699075165959969e+08 1.1448443525416069e+08 1.1229656411544235e+08 1.1039384496617675e+08 1.0874767953815974e+08 1.0733593913254589e+08 1.0613380393224464e+08 1.0511717822927484e+08 1.0426878676187986e+08 1.0356615892309108e+08 1.0299386377692850e+08 1.0253351925698352e+08 1.0216981009193259e+08 1.0188140970773534e+08 1.0164727052124608e+08 1.0145237907848215e+08 1.0128209107780141e+08 1.0112141567477138e+08 1.0100771801882584e+08 1.0089291611525792e+08 1.0077577833072494e+08 1.0065308826199169e+08 1.0052652089552601e+08 1.0039238135870264e+08 1.0025546542619097e+08 1.0010314560116799e+08 9.9940131537709415e+07 9.9763423729549468e+07 9.9570679941362172e+07 9.9359053954453081e+07 9.9125339444589123e+07 9.8864873628019601e+07 9.8578500389731064e+07 9.8254952310281768e+07 9.7892199462378785e+07 9.7484978450182080e+07 9.7027625005813763e+07 9.6514297823836446e+07 9.5939137814627379e+07 9.5295611011556223e+07 9.4584899351797596e+07 9.3794132566180393e+07 9.2926212522561073e+07 9.1983146894335464e+07 9.0972332646236315e+07 8.9906355226902291e+07 8.8809169670429468e+07 8.7716372907335892e+07 8.6686633981200114e+07 8.5792955038188905e+07 8.5150478003589004e+07 8.4919305285041422e+07 8.5332291209102869e+07 8.6728114182984114e+07 8.9620011406751871e+07 9.4820415696994781e+07 1.0369881958224903e+08 2.3005154393450536e+07 +9.0876958986329086e+00 2.6514412127681956e+08 2.6511807320393145e+08 2.6507404473194206e+08 2.6501607249588570e+08 2.6495746032572338e+08 2.6491915878337416e+08 2.6491059539361885e+08 2.6491583989083099e+08 2.6491841422388983e+08 2.6491444851668000e+08 2.6490519242960325e+08 2.6489017073429036e+08 2.6486810523097864e+08 2.6483780904331741e+08 2.6479810542620537e+08 2.6474749814937985e+08 2.6468420955222660e+08 2.6460621460677028e+08 2.6451115048449937e+08 2.6439620180310690e+08 2.6425805052935290e+08 2.6409267716041496e+08 2.6389426149005160e+08 2.6365274132589826e+08 2.6335854761659566e+08 2.6300704628160685e+08 2.6259128584081367e+08 2.6210097081188935e+08 2.6152374386208981e+08 2.6084526758457330e+08 2.6004903318244028e+08 2.5911610777633965e+08 2.5802488667185700e+08 2.5675087458302894e+08 2.5526653384442386e+08 2.5354119261833459e+08 2.5154114084248227e+08 2.4922993640331388e+08 2.4656908318667248e+08 2.4351911178768688e+08 2.3976413565290472e+08 2.3547150163678351e+08 2.3060638524318886e+08 2.2514873459418476e+08 2.1909987627760771e+08 2.1248904312933698e+08 2.0537848783910239e+08 1.9786548822779965e+08 1.9007985352968824e+08 1.8217481993821549e+08 1.7431359445714551e+08 1.6665763763066858e+08 1.5935225651360944e+08 1.5250383539119887e+08 1.4618170106170455e+08 1.4042181781757692e+08 1.3522694217129642e+08 1.3057809853036121e+08 1.2644021030376475e+08 1.2277506916244863e+08 1.1953760568589641e+08 1.1668936471736032e+08 1.1418897412015864e+08 1.1200630048136750e+08 1.1010811843010318e+08 1.0846589044298247e+08 1.0705753457238221e+08 1.0585828853618351e+08 1.0484411328058413e+08 1.0399777313164562e+08 1.0329685238419080e+08 1.0272595511779699e+08 1.0226674310358104e+08 1.0190393612892200e+08 1.0161625827146830e+08 1.0138271278870821e+08 1.0118832051131117e+08 1.0101847179800981e+08 1.0085821310616705e+08 1.0074481104770993e+08 1.0063030784535192e+08 1.0051347493980794e+08 1.0039110423857227e+08 1.0026486634352541e+08 1.0013107616405991e+08 9.9994516127276123e+07 9.9842592807462737e+07 9.9680003084113836e+07 9.9503755258209050e+07 9.9311513190864950e+07 9.9100438071460724e+07 9.8867331921358302e+07 9.8607544264146000e+07 9.8321915939866051e+07 9.7999210041754022e+07 9.7637401418228462e+07 9.7231240373108536e+07 9.6775077381798714e+07 9.6263086342750818e+07 9.5689423416870609e+07 9.5047571808900714e+07 9.4338709563705355e+07 9.3550001052676216e+07 9.2684340101045281e+07 9.1743729156836569e+07 9.0735545931736663e+07 8.9672343116473272e+07 8.8578013394074962e+07 8.7488061193445966e+07 8.6461002102009088e+07 8.5569649301311523e+07 8.4928844569730371e+07 8.4698273740349829e+07 8.5110184764232084e+07 8.6502374592181191e+07 8.9386744624654144e+07 9.4573613268667057e+07 1.0342890744481708e+08 2.2928713361298461e+07 +9.0926642214071673e+00 2.6466482609290710e+08 2.6463882246056956e+08 2.6459487129394817e+08 2.6453699739021394e+08 2.6447847981149200e+08 2.6444022941215450e+08 2.6443165671448612e+08 2.6443686095152831e+08 2.6443939328122714e+08 2.6443538923447192e+08 2.6442609450261995e+08 2.6441103301620266e+08 2.6438892691112253e+08 2.6435858905253053e+08 2.6431884211568013e+08 2.6426818940720540e+08 2.6420485263972041e+08 2.6412680587019962e+08 2.6403168515915611e+08 2.6391667393106604e+08 2.6377845282240173e+08 2.6361300099460837e+08 2.6341449752571356e+08 2.6317287924241656e+08 2.6287857017849612e+08 2.6252693165441674e+08 2.6211101411653012e+08 2.6162052259175619e+08 2.6104309921685079e+08 2.6036440665182081e+08 2.5956793744197428e+08 2.5863476199472073e+08 2.5754328170066828e+08 2.5626901125965080e+08 2.5478442828406230e+08 2.5305888331401727e+08 2.5105869788107380e+08 2.4874747318142971e+08 2.4608677077789891e+08 2.4303719605412647e+08 2.3928302802504042e+08 2.3499173784359065e+08 2.3012866966766661e+08 2.2467395966473880e+08 2.1862912898487154e+08 2.1202359122090825e+08 2.0491973911908972e+08 1.9741491999300623e+08 1.8963891514211717e+08 1.8174482269913897e+08 1.7389560617931941e+08 1.6625238877154699e+08 1.5896008401712292e+08 1.5212470423944893e+08 1.4581524681982994e+08 1.4006740977274448e+08 1.3488377187032405e+08 1.3024525517593198e+08 1.2611674980616866e+08 1.2246004943826877e+08 1.1923013020160623e+08 1.1638858419166261e+08 1.1389411016090189e+08 1.1171662576582642e+08 1.0982297349966861e+08 1.0818467653091808e+08 1.0677969962412308e+08 1.0558333795212425e+08 1.0457160903077990e+08 1.0372731672116257e+08 1.0302810012525947e+08 1.0245859829226671e+08 1.0200051676022503e+08 1.0163861032638517e+08 1.0135165363893224e+08 1.0111870070983095e+08 1.0092480660662749e+08 1.0075539629325724e+08 1.0059555346014491e+08 1.0048244639113544e+08 1.0036824127431974e+08 1.0025171261888129e+08 1.0012966062627771e+08 1.0000375152288827e+08 9.9870309979018360e+07 9.9734105106120005e+07 9.9582577473386124e+07 9.9420411214670658e+07 9.9244622421982259e+07 9.9052881040338159e+07 9.8842355652007803e+07 9.8609856606539220e+07 9.8350745708868951e+07 9.8065860764143124e+07 9.7743995310011208e+07 9.7383128962919846e+07 9.6978025698327139e+07 9.6523050704234585e+07 9.6012393051847637e+07 9.5440224120859995e+07 9.4800044251661196e+07 9.4093027608150244e+07 9.3306373125742376e+07 9.2442966606005445e+07 9.1504805282313660e+07 9.0499247652829975e+07 8.9438813718163997e+07 8.8347333938745826e+07 8.7260220431988269e+07 8.6235835649421781e+07 8.5346804192536891e+07 8.4707668314110339e+07 8.4477698131493568e+07 8.4888536472430244e+07 8.6277100648892552e+07 8.9153959017138928e+07 9.4327319934818506e+07 1.0315955207462317e+08 2.2852505898349121e+07 +9.0976325441814261e+00 2.6418583431602782e+08 2.6415987683100265e+08 2.6411600175035760e+08 2.6405822630037156e+08 2.6399980332085741e+08 2.6396160404699317e+08 2.6395302211946085e+08 2.6395818622530240e+08 2.6396067669920757e+08 2.6395663448775348e+08 2.6394730131646293e+08 2.6393220028355399e+08 2.6391005386636841e+08 2.6387967467957646e+08 2.6383988482819641e+08 2.6378918716659871e+08 2.6372580279321513e+08 2.6364770486697796e+08 2.6355252835486373e+08 2.6343745551013988e+08 2.6329916566462407e+08 2.6313363667355606e+08 2.6293504693775925e+08 2.6269333236824545e+08 2.6239891016978928e+08 2.6204713711275789e+08 2.6163106560680920e+08 2.6114040125293547e+08 2.6056278574019778e+08 2.5988388189005068e+08 2.5908718369571230e+08 2.5815376496911046e+08 2.5706203331350395e+08 2.5578751355114099e+08 2.5430269871581778e+08 2.5257696187094864e+08 2.5057665628098282e+08 2.4826542657606480e+08 2.4560489209202144e+08 2.4255573304845133e+08 2.3880239563644743e+08 2.3451247381720388e+08 2.2965148008625907e+08 2.2419973813819435e+08 2.1815896294480810e+08 2.1155874790353981e+08 2.0446162469873720e+08 1.9696500895161885e+08 1.8919865292006895e+08 1.8131551579893896e+08 1.7347831710554916e+08 1.6584784264028585e+08 1.5856861287222728e+08 1.5174626891358972e+08 1.4544947969066963e+08 1.3971367796879137e+08 1.3454126571222228e+08 1.2991306341556217e+08 1.2579392847403036e+08 1.2214565698667431e+08 1.1892327086447266e+08 1.1608840960794148e+08 1.1359984289321543e+08 1.1142753947954214e+08 1.0953840968080729e+08 1.0790403730423866e+08 1.0650243378738710e+08 1.0530895167758575e+08 1.0429966497619939e+08 1.0345741702544877e+08 1.0275990164108786e+08 1.0219179279497224e+08 1.0173483972182007e+08 1.0137383217964105e+08 1.0108759530573632e+08 1.0085523378104404e+08 1.0066183686156578e+08 1.0049286406140980e+08 1.0033343623528907e+08 1.0022062354812261e+08 1.0010671590174624e+08 9.9990490868241668e+07 9.9868756925988853e+07 9.9743175935049519e+07 9.9610082305944815e+07 9.9474231865549117e+07 9.9323099102560028e+07 9.9161355433796525e+07 9.8986024726188838e+07 9.8794782996037856e+07 9.8584806203368425e+07 9.8352913008615747e+07 9.8094477471897587e+07 9.7810334373741299e+07 9.7489307627786949e+07 9.7129381611110568e+07 9.6725333942294151e+07 9.6271544492039770e+07 9.5762217472539470e+07 9.5191539450957075e+07 9.4553027867216662e+07 9.3847853016157433e+07 9.3063248320453838e+07 9.2202091576808468e+07 9.1266374814567402e+07 9.0263437358432919e+07 8.9205766586008430e+07 8.8117130864010885e+07 8.7032850188045368e+07 8.6011134193403915e+07 8.5124419286333233e+07 8.4486948814621106e+07 8.4257578037534297e+07 8.4667345910435721e+07 8.6052291923106954e+07 8.8921654139703467e+07 9.4081535225331008e+07 1.0289075295748536e+08 2.2776531386307418e+07 +9.1026008669556848e+00 2.6370714869109222e+08 2.6368123738860726e+08 2.6363743832671636e+08 2.6357976160990459e+08 2.6352143314161655e+08 2.6348328497975823e+08 2.6347469390137801e+08 2.6347981800475416e+08 2.6348226676963726e+08 2.6347818656826106e+08 2.6346881516213039e+08 2.6345367482685912e+08 2.6343148838598281e+08 2.6340106821322316e+08 2.6336123585151911e+08 2.6331049371430907e+08 2.6324706229844773e+08 2.6316891388048097e+08 2.6307368235283145e+08 2.6295854881911916e+08 2.6282019133167645e+08 2.6265458646930650e+08 2.6245591199377674e+08 2.6221410296545675e+08 2.6191956984574395e+08 2.6156766490384862e+08 2.6115144254974282e+08 2.6066060902272969e+08 2.6008280564651632e+08 2.5940369549811724e+08 2.5860677412500530e+08 2.5767311885957778e+08 2.5658114364526090e+08 2.5530638356350085e+08 2.5382134721198159e+08 2.5209543032109442e+08 2.5009501802723256e+08 2.4778379851864004e+08 2.4512344899725246e+08 2.4207472456673759e+08 2.3832224019272718e+08 2.3403371115939167e+08 2.2917481798190817e+08 2.2372607136366835e+08 2.1768937935954866e+08 2.1109451421882287e+08 2.0400414544890231e+08 1.9651575579991984e+08 1.8875906738409904e+08 1.8088689958879706e+08 1.7306172742882180e+08 1.6544399928821352e+08 1.5817784300822234e+08 1.5136852924094200e+08 1.4508439941955909e+08 1.3936062208682671e+08 1.3419942332914272e+08 1.2958152284428206e+08 1.2547174587518719e+08 1.2183189135541299e+08 1.1861702720741242e+08 1.1578884048793063e+08 1.1330617183084209e+08 1.1113904112998845e+08 1.0925442647649343e+08 1.0762397226240030e+08 1.0622573655886941e+08 1.0503512920731251e+08 1.0402828061013030e+08 1.0318807353729635e+08 1.0249225642389973e+08 1.0192553811799312e+08 1.0146971148054075e+08 1.0110960118113758e+08 1.0082408276511267e+08 1.0059231149613565e+08 1.0039941077055220e+08 1.0023087459761973e+08 1.0007186092752488e+08 9.9959342015198052e+07 9.9845731224818900e+07 9.9729809185543865e+07 9.9608392635939971e+07 9.9483139078930900e+07 9.9350392644264400e+07 9.9214895905860901e+07 9.9064157195973501e+07 9.8902835243301749e+07 9.8727961673554495e+07 9.8537218561692327e+07 9.8327789230198905e+07 9.8096500633494750e+07 9.7838739060496971e+07 9.7555336277249232e+07 9.7235146505306184e+07 9.6876158874742299e+07 9.6473164619214758e+07 9.6020558261422768e+07 9.5512559123629004e+07 9.4943368928993195e+07 9.4306522180705369e+07 9.3603185316214904e+07 9.2820626169135720e+07 9.1961714550006807e+07 9.1028437295068577e+07 9.0028114594998166e+07 8.8973201272026181e+07 8.7887403727241740e+07 8.6805950024401665e+07 8.5786897302002326e+07 8.4902494155130163e+07 8.4266685646789923e+07 8.4037913035059884e+07 8.4446612652984470e+07 8.5827947982438356e+07 8.8689829545644104e+07 9.3836258667509645e+07 1.0262250957646079e+08 2.2700789208055615e+07 +9.1075691897299436e+00 2.6322877332597578e+08 2.6320290590531251e+08 2.6315918357497650e+08 2.6310160562851739e+08 2.6304337154231673e+08 2.6300527448961911e+08 2.6299667434045628e+08 2.6300175856950507e+08 2.6300416577263618e+08 2.6300004775497347e+08 2.6299063831853449e+08 2.6297545892461738e+08 2.6295323274809605e+08 2.6292277193021926e+08 2.6288289746164742e+08 2.6283211132470167e+08 2.6276863342785096e+08 2.6269043518162712e+08 2.6259514942205158e+08 2.6247995612429792e+08 2.6234153208652416e+08 2.6217585264110467e+08 2.6197709494869801e+08 2.6173519328362784e+08 2.6144055144976732e+08 2.6108851726341408e+08 2.6067214717154419e+08 2.6018114811618969e+08 2.5960316113773635e+08 2.5892384966293660e+08 2.5812671089830723e+08 2.5719282581371894e+08 2.5610061481906220e+08 2.5482562339069498e+08 2.5334037583199200e+08 2.5161429068417618e+08 2.4961378509354573e+08 2.4730259092785022e+08 2.4464244334979367e+08 2.4159417239215994e+08 2.3784256338708645e+08 2.3355545145930478e+08 2.2869868482565561e+08 2.2325296067938516e+08 2.1722037941960377e+08 2.1063089119743857e+08 2.0354730223119655e+08 1.9606716122406936e+08 1.8832015904567099e+08 1.8045897441123819e+08 1.7264583733446243e+08 1.6504085875971505e+08 1.5778777434789625e+08 1.5099148504294100e+08 1.4472000574627703e+08 1.3900824180278945e+08 1.3385824434834123e+08 1.2925063305309303e+08 1.2515020157359734e+08 1.2151875208852157e+08 1.1831139875963795e+08 1.1548987635006829e+08 1.1301309648411837e+08 1.1085113022151551e+08 1.0897102338638696e+08 1.0734448090177667e+08 1.0594960743243262e+08 1.0476187003346190e+08 1.0375745542342304e+08 1.0291928574636990e+08 1.0222516396292597e+08 1.0165983375058293e+08 1.0120513152591829e+08 1.0084591682077609e+08 1.0056111550738539e+08 1.0032993334617673e+08 1.0013752782544734e+08 9.9969427394461602e+07 9.9810827030215919e+07 9.9698601286248207e+07 9.9585286737939954e+07 9.9469667065788999e+07 9.9348567251769841e+07 9.9223640450834483e+07 9.9091240490964711e+07 9.8956096724548802e+07 9.8805751252081305e+07 9.8644850142416999e+07 9.8470432764127091e+07 9.8280187238376498e+07 9.8071304234762862e+07 9.7840618984452307e+07 9.7583529979227349e+07 9.7300865980768144e+07 9.6981511450212672e+07 9.6623460263316974e+07 9.6221517240580261e+07 9.5770091526299655e+07 9.5263417521525174e+07 9.4695712074152440e+07 9.4060526714443386e+07 9.3359024034303278e+07 9.2578506201827705e+07 9.1721835060125828e+07 9.0790992263044029e+07 8.9793278906756803e+07 8.8741117325625911e+07 8.7658152083374977e+07 8.6579519501585796e+07 8.5563124540669635e+07 8.4681028369019389e+07 8.4046878383799613e+07 8.3818702698655963e+07 8.4226336272498935e+07 8.5604068392375633e+07 8.8458484785949185e+07 9.3591489786251575e+07 1.0235482141188905e+08 2.2625278747653507e+07 +9.1125375125042023e+00 2.6275070598612967e+08 2.6272488627043116e+08 2.6268123972088501e+08 2.6262376055973086e+08 2.6256562077581823e+08 2.6252757484173417e+08 2.6251896570493942e+08 2.6252401018726093e+08 2.6252637597511914e+08 2.6252222031508553e+08 2.6251277305213708e+08 2.6249755484269273e+08 2.6247528921760795e+08 2.6244478809525955e+08 2.6240487192188311e+08 2.6235404225998294e+08 2.6229051844246581e+08 2.6221227102937511e+08 2.6211693181886259e+08 2.6200167967948794e+08 2.6186319018025011e+08 2.6169743743621805e+08 2.6149859804511067e+08 2.6125660555985445e+08 2.6096185721259734e+08 2.6060969641405043e+08 2.6019318168563199e+08 2.5970202073592764e+08 2.5912385440351126e+08 2.5844434655874527e+08 2.5764699617232659e+08 2.5671288796689868e+08 2.5562044894547862e+08 2.5434523511416978e+08 2.5285978662353742e+08 2.5113354496804768e+08 2.4913295944068548e+08 2.4682180571118978e+08 2.4416187699361056e+08 2.4111407829640338e+08 2.3736336690103972e+08 2.3307769629500586e+08 2.2822308207707280e+08 2.2278040741183311e+08 2.1675196430450144e+08 2.1016787985916752e+08 2.0309109589598802e+08 1.9561922590045968e+08 1.8788192840700915e+08 1.8003174060007697e+08 1.7223064699969023e+08 1.6463842109202123e+08 1.5739840680699804e+08 1.5061513613471976e+08 1.4435629840517086e+08 1.3865653678774974e+08 1.3351772839245705e+08 1.2892039362859981e+08 1.2482929512893210e+08 1.2120623872599618e+08 1.1800638504690848e+08 1.1519151670940578e+08 1.1272061636014552e+08 1.1056380625532986e+08 1.0868819990728103e+08 1.0706556271582712e+08 1.0567404589914769e+08 1.0448917364505965e+08 1.0348718890383917e+08 1.0265105313993238e+08 1.0195862374505579e+08 1.0139467917948304e+08 1.0094109934469026e+08 1.0058277858594477e+08 1.0029869302048244e+08 1.0006809881967303e+08 9.9876187515555307e+07 9.9708521941856205e+07 9.9550334034030855e+07 9.9438400852460295e+07 9.9325381932897359e+07 9.9210064001482472e+07 9.9089280266634881e+07 9.8964679544427887e+07 9.8832625340551138e+07 9.8697833816735715e+07 9.8547880766694859e+07 9.8387399627760410e+07 9.8213437495452389e+07 9.8023688524485007e+07 9.7815350716547042e+07 9.7585267562247902e+07 9.7328849730218619e+07 9.7046922987703383e+07 9.6728401967663899e+07 9.6371285283811927e+07 9.5970391315314263e+07 9.5520143797978118e+07 9.5014792180170208e+07 9.4448568403249189e+07 9.3815040988627344e+07 9.3115368694180846e+07 9.2336887946191609e+07 9.1482452639054909e+07 9.0554039255105019e+07 8.9558929835465670e+07 8.8509514293971762e+07 8.7429375485181257e+07 8.6353558177732825e+07 8.5339815472922504e+07 8.4460021495838895e+07 8.3827526596941054e+07 8.3599946600513652e+07 8.4006516339136213e+07 8.5380652715989605e+07 8.8227619409175113e+07 9.3347228104033217e+07 1.0208768794155967e+08 2.2549999390338518e+07 +9.1175058352784610e+00 2.6227295455822009e+08 2.6224717890660474e+08 2.6220360916843259e+08 2.6214622856684294e+08 2.6208818308269909e+08 2.6205018828964475e+08 2.6204157025015602e+08 2.6204657511327344e+08 2.6204889963224864e+08 2.6204470650287515e+08 2.6203522161706838e+08 2.6201996483438113e+08 2.6199766004772642e+08 2.6196711896027777e+08 2.6192716148336983e+08 2.6187628877002335e+08 2.6181271959062034e+08 2.6173442367009699e+08 2.6163903178775361e+08 2.6152372172632286e+08 2.6138516785124519e+08 2.6121934308940431e+08 2.6102042351338428e+08 2.6077834201925418e+08 2.6048348935260144e+08 2.6013120456626463e+08 2.5971454829350829e+08 2.5922322907238215e+08 2.5864488762143779e+08 2.5796518834820297e+08 2.5716763209142372e+08 2.5623330744239217e+08 2.5514064812270278e+08 2.5386522080320668e+08 2.5237958162169215e+08 2.5065319516775346e+08 2.4865254301758653e+08 2.4634144476262465e+08 2.4368175176105344e+08 2.4063444403858295e+08 2.3688465240387070e+08 2.3260044723199403e+08 2.2774801118385306e+08 2.2230841287627652e+08 2.1628413518266302e+08 2.0970548121323967e+08 2.0263552728395098e+08 1.9517195049554372e+08 1.8744437596084321e+08 1.7960519848061308e+08 1.7181615659398144e+08 1.6423668631463286e+08 1.5700974029480004e+08 1.5023948232551271e+08 1.4399327712484100e+08 1.3830550670753562e+08 1.3317787507976143e+08 1.2859080415300229e+08 1.2450902609709147e+08 1.2089435080443896e+08 1.1770198559124967e+08 1.1489376107744218e+08 1.1242873096279971e+08 1.1027706872948334e+08 1.0840595553302659e+08 1.0678721719507883e+08 1.0539905144703609e+08 1.0421703952848922e+08 1.0321748053660464e+08 1.0238337520212243e+08 1.0169263525421000e+08 1.0113007388862850e+08 1.0067761442126867e+08 1.0032018596122880e+08 1.0003681478958717e+08 9.9806807402538329e+07 9.9615389327484921e+07 9.9448157727238551e+07 9.9290381427096829e+07 9.9178740202718422e+07 9.9066016299069822e+07 9.8950999482398212e+07 9.8830531170926854e+07 9.8706255850933746e+07 9.8574546684692994e+07 9.8440106675010547e+07 9.8290545233001605e+07 9.8130483193447411e+07 9.7956975362486839e+07 9.7767721916164041e+07 9.7559928172626182e+07 9.7330445865109473e+07 9.7074697813004270e+07 9.6793506799112990e+07 9.6475817560314476e+07 9.6119633440677643e+07 9.5719786350025415e+07 9.5270714585270822e+07 9.4766682611011520e+07 9.4201937430629790e+07 9.3570064520777389e+07 9.2872218816970900e+07 9.2095770927383587e+07 9.1243566816453293e+07 9.0317577805571631e+07 8.9325066920666322e+07 8.8278391721961245e+07 8.7201073482982919e+07 8.6128065608857021e+07 8.5116969659882367e+07 8.4239473101356030e+07 8.3608629855089024e+07 8.3381644310873747e+07 8.3787152421005443e+07 8.5157700514394999e+07 8.7997232961715743e+07 9.3103473140790522e+07 1.0182110864042474e+08 2.2474950522525847e+07 +9.1224741580527198e+00 2.6179551661762479e+08 2.6176978758254254e+08 2.6172629403485870e+08 2.6166901184736228e+08 2.6161106069297528e+08 2.6157311707407570e+08 2.6156449022000471e+08 2.6156945559065679e+08 2.6157173898683950e+08 2.6156750856097594e+08 2.6155798625541821e+08 2.6154269114162371e+08 2.6152034747899306e+08 2.6148976676517871e+08 2.6144976838490346e+08 2.6139885309242386e+08 2.6133523910813904e+08 2.6125689533817136e+08 2.6116145156081733e+08 2.6104608449448645e+08 2.6090746732588625e+08 2.6074157182312474e+08 2.6054257357174551e+08 2.6030040487469816e+08 2.6000545007591453e+08 2.5965304391876456e+08 2.5923624918419111e+08 2.5874477530342522e+08 2.5816626295654878e+08 2.5748637718066913e+08 2.5668862078738102e+08 2.5575408635089612e+08 2.5466121443710312e+08 2.5338558251478130e+08 2.5189976284931937e+08 2.5017324326657075e+08 2.4817253776075751e+08 2.4586150996527576e+08 2.4320206947132894e+08 2.4015527136621994e+08 2.3640642155307889e+08 2.3212370582449719e+08 2.2727347358269966e+08 2.2183697837633929e+08 2.1581689321113709e+08 2.0924369625775743e+08 2.0218059722501865e+08 1.9472533566629520e+08 1.8700750219125500e+08 1.7917934836966160e+08 1.7140236627880424e+08 1.6383565445007426e+08 1.5662177471424407e+08 1.4986452341854757e+08 1.4363094162855795e+08 1.3795515122313753e+08 1.3283868402357416e+08 1.2826186420433478e+08 1.2418939402994011e+08 1.2058308785621832e+08 1.1739819991129263e+08 1.1459660896260515e+08 1.1213743979270446e+08 1.0999091713892548e+08 1.0812428975419240e+08 1.0650944382712325e+08 1.0512462356134441e+08 1.0394546716735972e+08 1.0294832980424535e+08 1.0211625141488762e+08 1.0142719797185414e+08 1.0086601735935606e+08 1.0041467623718461e+08 1.0005813842863886e+08 9.9775480297296897e+07 9.9546058578097180e+07 9.9355132745211199e+07 9.9188334235385418e+07 9.9030968695021331e+07 9.8919618822959483e+07 9.8807189323090762e+07 9.8692472995893121e+07 9.8572319452652141e+07 9.8448368858817011e+07 9.8317004012731701e+07 9.8182914789282009e+07 9.8033744141851962e+07 9.7874100331063151e+07 9.7701045857830584e+07 9.7512286906720504e+07 9.7305036097541943e+07 9.7076153388756871e+07 9.6821073724645823e+07 9.6540616913477302e+07 9.6223757728255257e+07 9.5868504235939756e+07 9.5469701848724335e+07 9.5021803394519210e+07 9.4519088323005989e+07 9.3955818668299854e+07 9.3325596826204896e+07 9.2629573921491563e+07 9.1855154668230504e+07 9.1005177119612157e+07 9.0081607446685180e+07 8.9091689699496254e+07 8.8047749152294472e+07 8.6973245625140518e+07 8.5903041348718271e+07 8.4894586660589442e+07 8.4019382749045581e+07 8.3390187725126609e+07 8.3163795397648409e+07 8.3568244083976552e+07 8.4935211346324712e+07 8.7767324987585366e+07 9.2860224414213583e+07 1.0155508298102540e+08 2.2400131531808630e+07 +9.1274424808269785e+00 2.6131839892980608e+08 2.6129271381068525e+08 2.6124929637337157e+08 2.6119211264786914e+08 2.6113425582633913e+08 2.6109636342431679e+08 2.6108772784537151e+08 2.6109265385007960e+08 2.6109489626928428e+08 2.6109062871938685e+08 2.6108106919670179e+08 2.6106573599334240e+08 2.6104335373966560e+08 2.6101273373765364e+08 2.6097269485302207e+08 2.6092173745249674e+08 2.6085807921898380e+08 2.6077968825552154e+08 2.6068419335759044e+08 2.6056877020096105e+08 2.6043009081786633e+08 2.6026412584777778e+08 2.6006505042593119e+08 2.5982279632647884e+08 2.5952774157678950e+08 2.5917521665753701e+08 2.5875828653438982e+08 2.5826666159508607e+08 2.5768798256175217e+08 2.5700791519417623e+08 2.5620996437987527e+08 2.5527522679125279e+08 2.5418214996223062e+08 2.5290632229379478e+08 2.5142033231732365e+08 2.4969369123513812e+08 2.4769294559480247e+08 2.4538200318913609e+08 2.4272283193240848e+08 2.3967656201462290e+08 2.3592867599427226e+08 2.3164747361479837e+08 2.2679947069757244e+08 2.2136610520453683e+08 2.1535023953629059e+08 2.0878252598066804e+08 2.0172630653957275e+08 1.9427938205982295e+08 1.8657130757255748e+08 1.7875419057562390e+08 1.7098927620808896e+08 1.6343532551397043e+08 1.5623450996144456e+08 1.4949025921111208e+08 1.4326929163422173e+08 1.3760546999042347e+08 1.3250015483297582e+08 1.2793357335640955e+08 1.2387039847546646e+08 1.2027244941042399e+08 1.1709502752209271e+08 1.1430005986955960e+08 1.1184674234728745e+08 1.0970535097559135e+08 1.0784320205876391e+08 1.0623224209667581e+08 1.0485076172450517e+08 1.0367445604246409e+08 1.0267973618616645e+08 1.0184968125709367e+08 1.0116231137664898e+08 1.0060250907042220e+08 1.0015228427147326e+08 9.9796635467723936e+07 9.9514689023717657e+07 9.9285851827103421e+07 9.9095417250276580e+07 9.8929050948479280e+07 9.8772095320891395e+07 9.8661036196995780e+07 9.8548900489278510e+07 9.8434484026856795e+07 9.8314644597146764e+07 9.8191018054197431e+07 9.8059996811480522e+07 9.7926257646918580e+07 9.7777476981426880e+07 9.7618250529639512e+07 9.7445648471322939e+07 9.7257382987161249e+07 9.7050673983268425e+07 9.6822389626445875e+07 9.6567976959621385e+07 9.6288252826809049e+07 9.5972221969173968e+07 9.5617897169064537e+07 9.5220137313061208e+07 9.4773409729786918e+07 9.4272008822764605e+07 9.3710211625649035e+07 9.3081637417588219e+07 9.2387433524158433e+07 9.1615038689217240e+07 9.0767283073272318e+07 8.9846127707980648e+07 8.8858797706915617e+07 8.7817586125259995e+07 8.6745891457590565e+07 8.5678484948929682e+07 8.4672666031885117e+07 8.3799750000431985e+07 8.3172199771675020e+07 8.2946399426744193e+07 8.3349790891858205e+07 8.4713184768411502e+07 8.7537895028649867e+07 9.2617481439568415e+07 1.0128961043314236e+08 2.2325541806958001e+07 +9.1324108036012372e+00 2.6084159765269694e+08 2.6081596064011481e+08 2.6077261878864458e+08 2.6071553321141648e+08 2.6065777069064623e+08 2.6061992955806679e+08 2.6061128534543210e+08 2.6061617211014411e+08 2.6061837369817898e+08 2.6061406919596216e+08 2.6060447265830696e+08 2.6058910160630018e+08 2.6056668104650924e+08 2.6053602209324956e+08 2.6049594310225195e+08 2.6044494406338608e+08 2.6038124213466510e+08 2.6030280463188291e+08 2.6020725938598979e+08 2.6009178105073023e+08 2.5995304052950722e+08 2.5978700736139110e+08 2.5958785626990828e+08 2.5934551856315342e+08 2.5905036603657016e+08 2.5869772495628810e+08 2.5828066250881895e+08 2.5778889010094348e+08 2.5721004857777214e+08 2.5652980451393628e+08 2.5573166497654068e+08 2.5479673084951085e+08 2.5370345675984451e+08 2.5242744217272714e+08 2.5094129202414563e+08 2.4921454103272152e+08 2.4721376843191561e+08 2.4490292629289821e+08 2.4224404093984100e+08 2.3919831770731589e+08 2.3545141736107406e+08 2.3117175213316274e+08 2.2632600394192994e+08 2.2089579464208540e+08 2.1488417529321495e+08 2.0832197135924727e+08 2.0127265603686884e+08 1.9383409031369314e+08 1.8613579257066408e+08 1.7832972539825490e+08 1.7057688652744353e+08 1.6303569951439038e+08 1.5584794592608607e+08 1.4911668949456912e+08 1.4290832685427433e+08 1.3725646266062403e+08 1.3216228711211149e+08 1.2760593117884976e+08 1.2355203897744636e+08 1.1996243499229068e+08 1.1679246793527448e+08 1.1400411330016606e+08 1.1155663812082554e+08 1.0942036972830468e+08 1.0756269193140984e+08 1.0595561148560208e+08 1.0457746541629264e+08 1.0340400563185765e+08 1.0241169915963265e+08 1.0158366420517737e+08 1.0089797494475120e+08 1.0033954849812052e+08 9.9890438000653356e+07 9.9535676555378258e+07 9.9254440446397960e+07 9.9026186627853438e+07 9.8836242321685076e+07 9.8670307346382111e+07 9.8513760785153449e+07 9.8402991805749625e+07 9.8291149279231235e+07 9.8177032057420403e+07 9.8057506087358147e+07 9.7934202920678645e+07 9.7803524565094203e+07 9.7670134732970923e+07 9.7521743237470850e+07 9.7362933275782913e+07 9.7190782690470964e+07 9.7003009645927936e+07 9.6796841319411114e+07 9.6569154068929762e+07 9.6315407010142267e+07 9.6036414032679990e+07 9.5721209778313592e+07 9.5367811737229913e+07 9.4971092242251500e+07 9.4525533092500746e+07 9.4025443614468589e+07 9.3465115809977621e+07 9.2838185805502757e+07 9.2145797139055490e+07 9.1375422508480176e+07 9.0529884200218320e+07 8.9611138117009476e+07 8.8626390475551277e+07 8.7587902178988323e+07 8.6519010523999199e+07 8.5454395958706826e+07 8.4451207328321546e+07 8.3580574414552987e+07 8.2954665557253584e+07 8.2729455961919382e+07 8.3131792406154200e+07 8.4491620335076272e+07 8.7308942624453977e+07 9.2375243729670078e+07 1.0102469046397056e+08 2.2251180737923168e+07 +9.1373791263754960e+00 2.6036511987654972e+08 2.6033952850877169e+08 2.6029626313127735e+08 2.6023927574766901e+08 2.6018160748094013e+08 2.6014381768162543e+08 2.6013516492712909e+08 2.6014001257720035e+08 2.6014217347944030e+08 2.6013783219662839e+08 2.6012819884593499e+08 2.6011279018552431e+08 2.6009033160325426e+08 2.6005963403485817e+08 2.6001951533482367e+08 2.5996847512602535e+08 2.5990473005471033e+08 2.5982624666495129e+08 2.5973065184118485e+08 2.5961511923654205e+08 2.5947631865024915e+08 2.5931021855009297e+08 2.5911099328463697e+08 2.5886857376063633e+08 2.5857332562516734e+08 2.5822057097685611e+08 2.5780337925986838e+08 2.5731146296257767e+08 2.5673246313311991e+08 2.5605204725340512e+08 2.5525372467274749e+08 2.5431860060024983e+08 2.5322513687941471e+08 2.5194894417185885e+08 2.5046264395624387e+08 2.4873579460540739e+08 2.4673500817253211e+08 2.4442428112237442e+08 2.4176569827763140e+08 2.3872054015524942e+08 2.3497464727561525e+08 2.3069654289870682e+08 2.2585307471741903e+08 2.2042604795869347e+08 2.1441870160647514e+08 2.0786203335983512e+08 2.0081964651685435e+08 1.9338946105583343e+08 1.8570095764191422e+08 1.7790595312916771e+08 1.7016519737526006e+08 1.6263677645246124e+08 1.5546208249152744e+08 1.4874381405425921e+08 1.4254804699581420e+08 1.3690812887965155e+08 1.3182508046107452e+08 1.2727893723698716e+08 1.2323431507613915e+08 1.1965304412344345e+08 1.1649052065893315e+08 1.1370876875247222e+08 1.1126712660441980e+08 1.0913597288283600e+08 1.0728275885405235e+08 1.0567955147290021e+08 1.0430473411348945e+08 1.0313411541094686e+08 1.0214421819896482e+08 1.0131819973291172e+08 1.0063418814960442e+08 1.0007713511588408e+08 9.9629136898436338e+07 9.9275261166006729e+07 9.8994734040323660e+07 9.8767062455961779e+07 9.8577607435925379e+07 9.8412102906346172e+07 9.8255964565767884e+07 9.8145485127855524e+07 9.8033935172038212e+07 9.7920116567442089e+07 9.7800903403789699e+07 9.7677922939255074e+07 9.7547586755386204e+07 9.7414545529826179e+07 9.7266542393123925e+07 9.7108148053463772e+07 9.6936448000321075e+07 9.6749166369039506e+07 9.6543537593109831e+07 9.6316446204407096e+07 9.6063363365769938e+07 9.5785100022175089e+07 9.5470720648396060e+07 9.5118247434934750e+07 9.4722566132875577e+07 9.4278172981835529e+07 9.3779392199844316e+07 9.3220530725800514e+07 9.2595241497923151e+07 9.1904664277904257e+07 9.1136305641884938e+07 9.0292980020629421e+07 8.9376638198942825e+07 8.8394467535733640e+07 8.7358696849297285e+07 8.6292602365988150e+07 8.5230773925392896e+07 8.4230210102441862e+07 8.3361855548605740e+07 8.2737584642317265e+07 8.2512964564713076e+07 8.2914248186404645e+07 8.4270517598621488e+07 8.7080467312449113e+07 9.2133510795031443e+07 1.0076032253829849e+08 2.2177047715831511e+07 +9.1423474491497547e+00 2.5988896716538408e+08 2.5986342045402712e+08 2.5982023123685172e+08 2.5976334248530450e+08 2.5970576838080373e+08 2.5966802998999986e+08 2.5965936878548157e+08 2.5966417744532457e+08 2.5966629780724466e+08 2.5966191991486362e+08 2.5965224995254502e+08 2.5963680392345005e+08 2.5961430760191658e+08 2.5958357175403401e+08 2.5954341374077770e+08 2.5949233282928470e+08 2.5942854516643152e+08 2.5935001654023778e+08 2.5925437290648055e+08 2.5913878693917713e+08 2.5899992735744131e+08 2.5883376158741379e+08 2.5863446363982430e+08 2.5839196408291534e+08 2.5809662249982724e+08 2.5774375686896771e+08 2.5732643892793128e+08 2.5683438230899104e+08 2.5625522834409630e+08 2.5557464551358977e+08 2.5477614555149099e+08 2.5384083810539564e+08 2.5274719235853124e+08 2.5147083029981369e+08 2.4998439008780572e+08 2.4825745388820118e+08 2.4625666670464084e+08 2.4394606951233575e+08 2.4128780571708646e+08 2.3824323105836722e+08 2.3449836734746331e+08 2.3022184741854426e+08 2.2538068441406783e+08 2.1995686641298634e+08 2.1395381958903733e+08 2.0740271293835750e+08 2.0036727876915669e+08 1.9294549490447950e+08 1.8526680323397398e+08 1.7748287405146196e+08 1.6975420888197088e+08 1.6223855632248697e+08 1.5507691953444546e+08 1.4837163266990423e+08 1.4218845176057220e+08 1.3656046828879741e+08 1.3148853447509480e+08 1.2695259109204574e+08 1.2291722630772723e+08 1.1934427632178608e+08 1.1618918519771849e+08 1.1341402572166717e+08 1.1097820728612611e+08 1.0885215992205819e+08 1.0700340230568704e+08 1.0540406153479533e+08 1.0403256729031041e+08 1.0286478485240841e+08 1.0187729277589633e+08 1.0105328731137908e+08 1.0037095046236330e+08 9.9815268394817442e+07 9.9368380436449975e+07 9.9015388771473318e+07 9.8735569277977735e+07 9.8508478784713283e+07 9.8319512066952065e+07 9.8154437102882683e+07 9.7998706138342112e+07 9.7888515639422700e+07 9.7777257644598275e+07 9.7663737034194604e+07 9.7544836024225712e+07 9.7422177588557988e+07 9.7292182861618176e+07 9.7159489517492577e+07 9.7011873929265231e+07 9.6853894344468862e+07 9.6682643883274913e+07 9.6495852640045151e+07 9.6290762288927317e+07 9.6064265518878147e+07 9.5811845513786048e+07 9.5534310283935800e+07 9.5220754069871202e+07 9.4869203754534826e+07 9.4474558479525134e+07 9.4031328894541249e+07 9.3533854078326270e+07 9.2976455875622690e+07 9.2352804000566602e+07 9.1664034450103864e+07 9.0897687602809802e+07 9.0056570052555263e+07 8.9142627476525337e+07 8.8163028415640756e+07 8.7129969669939131e+07 8.6066666522830188e+07 8.5007618393995598e+07 8.4009673904632851e+07 8.3143592957643464e+07 8.2520956585222676e+07 8.2296924794751093e+07 8.2697157790017769e+07 8.4049876109167844e+07 8.6852468627707943e+07 9.1892282143911332e+07 1.0049650611814551e+08 2.2103142132988635e+07 +9.1473157719240135e+00 2.5941314027524924e+08 2.5938763756069136e+08 2.5934452594164327e+08 2.5928773567628488e+08 2.5923025556740281e+08 2.5919256866611996e+08 2.5918389910282218e+08 2.5918866889622426e+08 2.5919074886333317e+08 2.5918633453202665e+08 2.5917662815890497e+08 2.5916114500071171e+08 2.5913861122237298e+08 2.5910783742963973e+08 2.5906764049809378e+08 2.5901651934975243e+08 2.5895268964508611e+08 2.5887411643100962e+08 2.5877842475307760e+08 2.5866278632698926e+08 2.5852386881667730e+08 2.5835763863523591e+08 2.5815826949262416e+08 2.5791569168175131e+08 2.5762025880577421e+08 2.5726728476988092e+08 2.5684984364088440e+08 2.5635765025754800e+08 2.5577834631499961e+08 2.5509760138343906e+08 2.5429892968401679e+08 2.5336344541509756e+08 2.5226962522207555e+08 2.5099310255247417e+08 2.4950653238121849e+08 2.4777952080338797e+08 2.4577874590450147e+08 2.4346829328450593e+08 2.4081036501822913e+08 2.3776639210447544e+08 2.3402257917535746e+08 2.2974766718836680e+08 2.2490883441031858e+08 2.1948825125241882e+08 2.1348953034372303e+08 2.0694401104040140e+08 1.9991555357299751e+08 1.9250219246842843e+08 1.8483332978554112e+08 1.7706048843981150e+08 1.6934392117034024e+08 1.6184103911144531e+08 1.5469245692530721e+08 1.4800014511523396e+08 1.4182954084492847e+08 1.3621348052455571e+08 1.3115264874514128e+08 1.2662689230118237e+08 1.2260077220449090e+08 1.1903613110172029e+08 1.1588846105301261e+08 1.1311988369951136e+08 1.1068987965069188e+08 1.0856893032569751e+08 1.0672462176242340e+08 1.0512914114460391e+08 1.0376096441797905e+08 1.0259601342613854e+08 1.0161092235938756e+08 1.0078892640920313e+08 1.0010826135115388e+08 9.9553947803474322e+07 9.9108168083410323e+07 9.8756058841207981e+07 9.8476945629324272e+07 9.8250435084897265e+07 9.8061955686236307e+07 9.7897309408506155e+07 9.7741984975887686e+07 9.7632082814061701e+07 9.7521116170861900e+07 9.7407892932472974e+07 9.7289303424260020e+07 9.7166966344726503e+07 9.7037312360685125e+07 9.6904966173528671e+07 9.6757737324220553e+07 9.6600171627827540e+07 9.6429369819654718e+07 9.6243067939994216e+07 9.6038514889025837e+07 9.5812611495646387e+07 9.5560852938961670e+07 9.5284044304380000e+07 9.4971309530628026e+07 9.4620680185893729e+07 9.4227068774029508e+07 9.3785000324992836e+07 9.3288828746908367e+07 9.2732890759522960e+07 9.2110872816905096e+07 9.1423907162813276e+07 9.0659567902567714e+07 8.9820653811718538e+07 8.8909105470653862e+07 8.7932072641216874e+07 8.6901720172333971e+07 8.5841202531859964e+07 8.4784928907446310e+07 8.3789598283068523e+07 8.2925786194601178e+07 8.2304780942215532e+07 8.2081336209452167e+07 8.2480520772387967e+07 8.3829695414762780e+07 8.6624946103134617e+07 9.1651557282070711e+07 1.0023324066317153e+08 2.2029463382878363e+07 +9.1522840946982722e+00 2.5893764148258504e+08 2.5891218522423348e+08 2.5886914937144002e+08 2.5881245749383748e+08 2.5875507121540394e+08 2.5871743588106459e+08 2.5870875805019638e+08 2.5871348909998316e+08 2.5871552881763956e+08 2.5871107821776569e+08 2.5870133563444799e+08 2.5868581558576787e+08 2.5866324463213918e+08 2.5863243322834149e+08 2.5859219777265272e+08 2.5854103685206240e+08 2.5847716565355864e+08 2.5839854849852768e+08 2.5830280954012695e+08 2.5818711955646351e+08 2.5804814518110037e+08 2.5788185184297511e+08 2.5768241298818818e+08 2.5743975869694299e+08 2.5714423667635435e+08 2.5679115680506301e+08 2.5637359551513824e+08 2.5588126891341287e+08 2.5530181913783056e+08 2.5462091694008029e+08 2.5382207912911886e+08 2.5288642456707284e+08 2.5179243748314607e+08 2.5051576291421905e+08 2.4902907278655413e+08 2.4730199726130188e+08 2.4530124763606524e+08 2.4299095424953249e+08 2.4033337792885745e+08 2.3729002496881422e+08 2.3354728434576482e+08 2.2927400369211692e+08 2.2443752607397184e+08 2.1902020371333861e+08 2.1302583496177822e+08 2.0648592860095894e+08 1.9946447169815707e+08 1.9205955434694460e+08 1.8440053772633874e+08 1.7663879656073841e+08 1.6893433435552165e+08 1.6144422479946017e+08 1.5430869452824962e+08 1.4762935115831736e+08 1.4147131394019803e+08 1.3586716521835744e+08 1.3081742285759354e+08 1.2630184041747202e+08 1.2228495229502270e+08 1.1872860797383329e+08 1.1558834772259402e+08 1.1282634217442411e+08 1.1040214317991252e+08 1.0828628357058664e+08 1.0644641669735941e+08 1.0485478977293557e+08 1.0348992496521902e+08 1.0232780059946439e+08 1.0134510641599630e+08 1.0052511649224477e+08 9.9846120282055408e+07 9.9293172807780102e+07 9.8848499305725470e+07 9.8497270841957748e+07 9.8218862561938092e+07 9.7992930824658677e+07 9.7804937762842730e+07 9.7640719292855620e+07 9.7485800549039051e+07 9.7376186122986734e+07 9.7265510222858787e+07 9.7152583734744087e+07 9.7034305076812357e+07 9.6912288681453481e+07 9.6782974726941288e+07 9.6650974972990245e+07 9.6504132053898275e+07 9.6346979380433366e+07 9.6176625286981985e+07 9.5990811747652188e+07 9.5786794873348087e+07 9.5561483615885705e+07 9.5310385123716056e+07 9.5034301567244142e+07 9.4722386516304523e+07 9.4372676216455102e+07 9.3980096506046504e+07 9.3539186765152603e+07 9.3044315700390980e+07 9.2489834875158370e+07 9.1869447448019326e+07 9.1184281920723543e+07 9.0421946050095275e+07 8.9585230811603740e+07 8.8676071699578851e+07 8.7701599736141354e+07 8.6673947885909453e+07 8.5616209927996799e+07 8.4562705006411627e+07 8.3569982784019828e+07 8.2708434810193300e+07 8.2089057267499492e+07 8.1866198364275843e+07 8.2264336686587840e+07 8.3609975061452538e+07 8.6397899269747391e+07 9.1411335713244006e+07 9.9970525630422875e+07 2.1956010860162791e+07 +9.1572524174725309e+00 2.5846247532945293e+08 2.5843706503802374e+08 2.5839410388457596e+08 2.5833751000092307e+08 2.5828021749908608e+08 2.5824263379371622e+08 2.5823394778608394e+08 2.5823864021396279e+08 2.5824063982764947e+08 2.5823615312899083e+08 2.5822637453576654e+08 2.5821081783482948e+08 2.5818820998710603e+08 2.5815736130530298e+08 2.5811708771827081e+08 2.5806588748888263e+08 2.5800197534309590e+08 2.5792331489190349e+08 2.5782752941436392e+08 2.5771178877190000e+08 2.5757275859207883e+08 2.5740640334794307e+08 2.5720689625937402e+08 2.5696416725625363e+08 2.5666855823278007e+08 2.5631537508784020e+08 2.5589769665429565e+08 2.5540524036950126e+08 2.5482564889303583e+08 2.5414459424806932e+08 2.5334559593396083e+08 2.5240977758751041e+08 2.5131563114328310e+08 2.5003881335712630e+08 2.4855201324193206e+08 2.4682488516071859e+08 2.4482417375184232e+08 2.4251405420557374e+08 2.3985684618485448e+08 2.3681413131605586e+08 2.3307248443377471e+08 2.2880085840221629e+08 2.2396676076061583e+08 2.1855272502090076e+08 2.1256273452431574e+08 2.0602846654453897e+08 1.9901403390392527e+08 1.9161758112989840e+08 1.8396842747706875e+08 1.7621779867266664e+08 1.6852544854526883e+08 1.6104811335966358e+08 1.5392563220086291e+08 1.4725925056121096e+08 1.4111377073219818e+08 1.3552152199719840e+08 1.3048285639454810e+08 1.2597743498980622e+08 1.2196976610413878e+08 1.1842170644538480e+08 1.1528884470107545e+08 1.1253340063190809e+08 1.1011499735270156e+08 1.0800421913081940e+08 1.0616878658097187e+08 1.0458100688764857e+08 1.0321944839811838e+08 1.0206014583722620e+08 1.0107984440951963e+08 1.0026185702403356e+08 9.9584526718336388e+07 9.9032942871287212e+07 9.8589373567290962e+07 9.8239024238336638e+07 9.7961319540952712e+07 9.7735965469890699e+07 9.7548457763421297e+07 9.7384666223392084e+07 9.7230152325895771e+07 9.7120825034954101e+07 9.7010439269825593e+07 9.6897808910984218e+07 9.6779840452641860e+07 9.6658144069961816e+07 9.6529169432424992e+07 9.6397515388691217e+07 9.6251057591756895e+07 9.6094317076649800e+07 9.5924409760637134e+07 9.5739083539366111e+07 9.5535601719267100e+07 9.5310881358141765e+07 9.5060441548057869e+07 9.4785081554196447e+07 9.4473984510138616e+07 9.4125191331385046e+07 9.3733641162902907e+07 9.3293887704649746e+07 9.2800314431039825e+07 9.2247287718008950e+07 9.1628527392672479e+07 9.0945158226392835e+07 9.0184821552013457e+07 8.9350300563492909e+07 8.8443525679573655e+07 8.7471609221976176e+07 8.6446652337563068e+07 8.5391688244200647e+07 8.4340946229598120e+07 8.3350826951524645e+07 8.2491538353250012e+07 8.1873785113187626e+07 8.1651510812554434e+07 8.2048605083981827e+07 8.3390714592993498e+07 8.6171327656013131e+07 9.1171616938604161e+07 9.9708360474471658e+07 2.1882783960682318e+07 +9.1622207402467897e+00 2.5798764199277833e+08 2.5796227545128277e+08 2.5791939179497764e+08 2.5786289526429102e+08 2.5780569659025130e+08 2.5776816455029631e+08 2.5775947045672765e+08 2.5776412438395280e+08 2.5776608403905889e+08 2.5776156141133344e+08 2.5775174700770980e+08 2.5773615389227134e+08 2.5771350943101907e+08 2.5768262380312970e+08 2.5764231247676149e+08 2.5759107340056169e+08 2.5752712085246730e+08 2.5744841774840745e+08 2.5735258651080438e+08 2.5723679610548577e+08 2.5709771117863378e+08 2.5693129527597368e+08 2.5673172142727935e+08 2.5648891947523382e+08 2.5619322558388057e+08 2.5583994171911195e+08 2.5542214915050879e+08 2.5492956670673338e+08 2.5434983764835867e+08 2.5366863536061063e+08 2.5286948213341299e+08 2.5193350648967344e+08 2.5083920819117916e+08 2.4956225584132475e+08 2.4807535567370906e+08 2.4634818638794890e+08 2.4434752609173328e+08 2.4203759493924537e+08 2.3938077151079729e+08 2.3633871279816365e+08 2.3259818100235662e+08 2.2832823277949467e+08 2.2349653981489396e+08 2.1808581638910609e+08 2.1210023010120964e+08 2.0557162578553754e+08 1.9856424093987486e+08 1.9117627339772320e+08 1.8353699944978461e+08 1.7579749502566078e+08 1.6811726383943024e+08 1.6065270475828797e+08 1.5354326979467383e+08 1.4688984308068568e+08 1.4075691090184006e+08 1.3517655048272642e+08 1.3014894893388747e+08 1.2565367556307188e+08 1.2165521315269276e+08 1.1811542602017213e+08 1.1498995147957462e+08 1.1224105855402747e+08 1.0982844164447659e+08 1.0772273647701508e+08 1.0589173088081318e+08 1.0430779195364816e+08 1.0294953417990504e+08 1.0179304860138306e+08 1.0081513580140714e+08 9.9999147465464070e+07 9.9323480120824069e+07 9.8773257454962134e+07 9.8330790329487830e+07 9.7981318492244124e+07 9.7704316028849661e+07 9.7479538483970225e+07 9.7292515151979908e+07 9.7129149665025160e+07 9.6975039772300929e+07 9.6865999016320214e+07 9.6755902778744802e+07 9.6643567928716376e+07 9.6525909019918725e+07 9.6404531979232058e+07 9.6275895946724728e+07 9.6144586890856132e+07 9.5998513409071267e+07 9.5842184188417107e+07 9.5672722713526294e+07 9.5487882789017737e+07 9.5284934901881158e+07 9.5060804198779449e+07 9.4811021689688563e+07 9.4536383744283140e+07 9.4226102992976367e+07 9.3878225013542265e+07 9.3487702229525030e+07 9.3049102630983949e+07 9.2556824429079548e+07 9.2005248781141147e+07 9.1388112147411302e+07 9.0706535580142036e+07 8.9948193912852392e+07 8.9115862576330617e+07 8.8211466924655050e+07 8.7242100618054435e+07 8.6219833052550584e+07 8.5167637011316940e+07 8.4119652113683477e+07 8.3132130327491954e+07 8.2275096370499223e+07 8.1658964029433489e+07 8.1437273105648398e+07 8.1833325513653040e+07 8.3171913551157147e+07 8.5945230788543746e+07 9.0932400457272917e+07 9.9446744647440791e+07 2.1809782081455551e+07 +9.1671890630210484e+00 2.5751314144985071e+08 2.5748782237401116e+08 2.5744501431349581e+08 2.5738861540223104e+08 2.5733151065283298e+08 2.5729403028469938e+08 2.5728532819672313e+08 2.5728994374316236e+08 2.5729186358577895e+08 2.5728730519779652e+08 2.5727745518310419e+08 2.5726182589047486e+08 2.5723914509529343e+08 2.5720822285277003e+08 2.5716787417777714e+08 2.5711659671570894e+08 2.5705260430863014e+08 2.5697385919302204e+08 2.5687798295262843e+08 2.5676214367783669e+08 2.5662300505790448e+08 2.5645652974029285e+08 2.5625689060091361e+08 2.5601401745748496e+08 2.5571824082688165e+08 2.5536485878842002e+08 2.5494695508379433e+08 2.5445424999416205e+08 2.5387438745996132e+08 2.5319304231814712e+08 2.5239373975008595e+08 2.5145761327598122e+08 2.5036317060431597e+08 2.4908609231481180e+08 2.4759910199593094e+08 2.4587190281740549e+08 2.4387130648451933e+08 2.4156157822499692e+08 2.3890515561845779e+08 2.3586377105583638e+08 2.3212437560329875e+08 2.2785612827372614e+08 2.2302686457041034e+08 2.1761947902119476e+08 2.1163832275184822e+08 2.0511540722753340e+08 1.9811509354566777e+08 1.9073563172129887e+08 1.8310625404770273e+08 1.7537788586152276e+08 1.6770978033056399e+08 1.6025799895477524e+08 1.5316160715490195e+08 1.4652112846738634e+08 1.4040073412445140e+08 1.3483225029268551e+08 1.2981570004879086e+08 1.2533056167817807e+08 1.2134129295792943e+08 1.1780976619820438e+08 1.1469166754595238e+08 1.1194931541982773e+08 1.0954247552807501e+08 1.0744183507746097e+08 1.0561524906150469e+08 1.0403514443346685e+08 1.0268018177114013e+08 1.0152650835145202e+08 1.0055098005028635e+08 9.9736987274969116e+07 9.9062979947865903e+07 9.8514116017452866e+07 9.8072749051328063e+07 9.7724153063177884e+07 9.7447851486019865e+07 9.7223649327918246e+07 9.7037109390468329e+07 9.6874169080322951e+07 9.6720462351600260e+07 9.6611707530998752e+07 9.6501900214143530e+07 9.6389860253103286e+07 9.6272510244406253e+07 9.6151451875810832e+07 9.6023153737109616e+07 9.5892188947466195e+07 9.5746498974431992e+07 9.5590580185356721e+07 9.5421563616152212e+07 9.5237208968170494e+07 9.5034793893810391e+07 9.4811251611733109e+07 9.4562125023945227e+07 9.4288207614442647e+07 9.3978741443395689e+07 9.3631776743349448e+07 9.3242279188534915e+07 9.2804831029257953e+07 9.2313845182112128e+07 9.1763717555371866e+07 9.1148201206490412e+07 9.0468413479973763e+07 8.9712062634795681e+07 8.8881916357104540e+07 8.7979894946704537e+07 8.7013073441637516e+07 8.5993489553574175e+07 8.4944055757961139e+07 8.3898822192999884e+07 8.2913892451945096e+07 8.2059108406627014e+07 8.1444593564321622e+07 8.1223484792837724e+07 8.1618497522771448e+07 8.2953571475769669e+07 8.5719608191603780e+07 9.0693685765976608e+07 9.9185677599071354e+07 2.1737004620679375e+07 +9.1721573857953071e+00 2.5703897909080479e+08 2.5701370527389613e+08 2.5697097383379382e+08 2.5691467252785176e+08 2.5685766183805937e+08 2.5682023311831206e+08 2.5681152312817249e+08 2.5681610041320860e+08 2.5681798058892742e+08 2.5681338660979334e+08 2.5680350118304172e+08 2.5678783594970858e+08 2.5676511909968939e+08 2.5673416057303554e+08 2.5669377493917000e+08 2.5664245955080685e+08 2.5657842782668534e+08 2.5649964133904612e+08 2.5640372085018945e+08 2.5628783359706381e+08 2.5614864233515590e+08 2.5598210884223908e+08 2.5578240587726167e+08 2.5553946329461050e+08 2.5524360604682323e+08 2.5489012837315312e+08 2.5447211652201959e+08 2.5397929228887925e+08 2.5339930037182835e+08 2.5271781714960182e+08 2.5191837079513994e+08 2.5098209993606445e+08 2.4988752034757584e+08 2.4861032471402553e+08 2.4712325411091974e+08 2.4539603631209543e+08 2.4339551674646544e+08 2.4108600582606867e+08 2.3843000020893782e+08 2.3538930771771473e+08 2.3165106977672097e+08 2.2738454632279891e+08 2.2255773634895319e+08 2.1715371410908934e+08 2.1117701352473709e+08 2.0465981176403353e+08 1.9766659245117265e+08 1.9029565666252503e+08 1.8267619166555592e+08 1.7495897141378143e+08 1.6730299810364577e+08 1.5986399590152383e+08 1.5278064412034276e+08 1.4615310646659896e+08 1.4004524007063210e+08 1.3448862103945750e+08 1.2948310930833659e+08 1.2500809287206955e+08 1.2102800503347482e+08 1.1750472647615246e+08 1.1439399238470173e+08 1.1165817070521067e+08 1.0925709847301775e+08 1.0716151439720465e+08 1.0533934058510104e+08 1.0376306378671879e+08 1.0241139062993671e+08 1.0126052454428303e+08 1.0028737661240992e+08 9.9475375908347160e+07 9.8803025655278102e+07 9.8255518014839917e+07 9.7815249189482570e+07 9.7467527408362657e+07 9.7191925370206028e+07 9.6968297460304201e+07 9.6782239938245907e+07 9.6619723929469630e+07 9.6466419524711624e+07 9.6357950040635318e+07 9.6248431038280144e+07 9.6136685347099006e+07 9.6019643589678466e+07 9.5898903223689377e+07 9.5770942268384993e+07 9.5640321024047822e+07 9.5495013754268616e+07 9.5339504534698293e+07 9.5170931936799809e+07 9.4987061546179757e+07 9.4785178165437058e+07 9.4562223068519741e+07 9.4313751023838401e+07 9.4040552639147073e+07 9.3731899337644696e+07 9.3385845998921081e+07 9.2997371520339847e+07 9.2561072382124245e+07 9.2071376175882712e+07 9.1522693529385477e+07 9.0908794062020034e+07 9.0230791421753481e+07 8.9476427217935771e+07 8.8648461410352558e+07 8.7748809255295873e+07 8.6784527207762301e+07 8.5767621361511156e+07 8.4720944010737166e+07 8.3678456000103474e+07 8.2696112862772852e+07 8.1843574004322931e+07 8.1230673264002308e+07 8.1010145421558455e+07 8.1404120656452522e+07 8.2735687904427707e+07 8.5494459387597322e+07 9.0455472359355569e+07 9.8925158776481926e+07 2.1664450977728847e+07 +9.1771257085695659e+00 2.5656515861309689e+08 2.5653992815042096e+08 2.5649727266021141e+08 2.5644106876128814e+08 2.5638415227756590e+08 2.5634677516070783e+08 2.5633805736100611e+08 2.5634259650337940e+08 2.5634443715866867e+08 2.5633980775644177e+08 2.5632988711596856e+08 2.5631418617841169e+08 2.5629143355170146e+08 2.5626043907055482e+08 2.5622001686678365e+08 2.5616866401033774e+08 2.5610459350975478e+08 2.5602576628764200e+08 2.5592980230314597e+08 2.5581386795965970e+08 2.5567462510379088e+08 2.5550803467152798e+08 2.5530826934140331e+08 2.5506525906638733e+08 2.5476932331697264e+08 2.5441575253823274e+08 2.5399763552126038e+08 2.5350469563571891e+08 2.5292457841605631e+08 2.5224296187206018e+08 2.5144337726763386e+08 2.5050696844759855e+08 2.4941225937448412e+08 2.4813495496321094e+08 2.4664781390932468e+08 2.4492058872280204e+08 2.4292015868212014e+08 2.4061087949301916e+08 2.3795530697076482e+08 2.3491532440144363e+08 2.3117826505111584e+08 2.2691348835357222e+08 2.2208915646168882e+08 2.1668852283396167e+08 2.1071630345794338e+08 2.0420484027866080e+08 1.9721873837635398e+08 1.8985634877362445e+08 1.8224681268860269e+08 1.7454075190869296e+08 1.6689691723628756e+08 1.5947069554432312e+08 1.5240038052384213e+08 1.4578577681776577e+08 1.3969042840557736e+08 1.3414566233090220e+08 1.2915117627736557e+08 1.2468626867752707e+08 1.2071534888907114e+08 1.1720030634714703e+08 1.1409692547712682e+08 1.1136762388283028e+08 1.0897230994610614e+08 1.0688177389862117e+08 1.0506400491067162e+08 1.0349154947024025e+08 1.0214316021164367e+08 1.0099509663423401e+08 1.0002432494154139e+08 9.9214312819091231e+07 9.8543616696661115e+07 9.7997462900762543e+07 9.7558290197960913e+07 9.7211440982571319e+07 9.6936537136878520e+07 9.6713482337397128e+07 9.6527906252244711e+07 9.6365813670288682e+07 9.6212910750409454e+07 9.6104726004429892e+07 9.5995494710972920e+07 9.5884042671040863e+07 9.5767308516788974e+07 9.5646885484815672e+07 9.5519261003146246e+07 9.5388982583969086e+07 9.5244057212675735e+07 9.5088956701429412e+07 9.4920827141318038e+07 9.4737439989768624e+07 9.4536087184953734e+07 9.4313718038613364e+07 9.4065899160033792e+07 9.3793418290650114e+07 9.3485576149702445e+07 9.3140432256327048e+07 9.2752978702998847e+07 9.2317826170199737e+07 9.1829416893533617e+07 9.1282176189554915e+07 9.0669890203772992e+07 8.9993668898999721e+07 8.9241287160053417e+07 8.8415497238663644e+07 8.7518209358042076e+07 8.6556461429388762e+07 8.5542227994909689e+07 8.4498301294266313e+07 8.3458553065305263e+07 8.2478791095946342e+07 8.1628492704246745e+07 8.1017202672515631e+07 8.0797254537143096e+07 8.1190194457916573e+07 8.2518262372905388e+07 8.5269783896740973e+07 9.0217759729703158e+07 9.8665187624461293e+07 2.1592120553157154e+07 +9.1820940313438246e+00 2.5609167684520108e+08 2.5606649174070856e+08 2.5602391251374519e+08 2.5596780629013234e+08 2.5591098408034584e+08 2.5587365850926185e+08 2.5586493299288371e+08 2.5586943411147860e+08 2.5587123539239439e+08 2.5586657073540404e+08 2.5585661507953164e+08 2.5584087867293215e+08 2.5581809054732540e+08 2.5578706044054037e+08 2.5574660205434877e+08 2.5569521218708572e+08 2.5563110344874308e+08 2.5555223612795171e+08 2.5545622939813915e+08 2.5534024884985039e+08 2.5520095544470415e+08 2.5503430930557334e+08 2.5483448306652865e+08 2.5459140684061471e+08 2.5429539469840080e+08 2.5394173333720219e+08 2.5352351412534311e+08 2.5303046206790963e+08 2.5245022361295137e+08 2.5176847849033517e+08 2.5096876115455389e+08 2.5003222077719980e+08 2.4893738962610412e+08 2.4765998497455534e+08 2.4617278326925707e+08 2.4444556188824379e+08 2.4244523408440781e+08 2.4013620096507433e+08 2.3748107758134142e+08 2.3444182271236280e+08 2.3070596294345489e+08 2.2644295578104740e+08 2.2162112620818445e+08 2.1622390636609551e+08 2.1025619357881021e+08 2.0375049364412352e+08 1.9677153203118107e+08 1.8941770859790480e+08 1.8181811749424419e+08 1.7412322756333137e+08 1.6649153779877323e+08 1.5907809782214326e+08 1.5202081619202891e+08 1.4541913925482404e+08 1.3933629878945562e+08 1.3380337377049968e+08 1.2881990051632676e+08 1.2436508862369858e+08 1.2040332403078498e+08 1.1689650530092786e+08 1.1380046630130771e+08 1.1107767442246291e+08 1.0868810941098045e+08 1.0660261304115993e+08 1.0478924149473685e+08 1.0322060093854220e+08 1.0187548996896343e+08 1.0073022407310744e+08 9.9761824488939539e+07 9.8953797458116516e+07 9.8284752522953391e+07 9.7739950126683131e+07 9.7301871528668836e+07 9.6955893238150135e+07 9.6681686239209637e+07 9.6459203413013503e+07 9.6274107787235260e+07 9.6112437758250266e+07 9.5959935484849021e+07 9.5852034879304960e+07 9.5743090689706936e+07 9.5631931683100358e+07 9.5515504484571099e+07 9.5395398118640408e+07 9.5268109401507780e+07 9.5138173088049129e+07 9.4993628811395854e+07 9.4838936148217648e+07 9.4671248693301827e+07 9.4488343763791487e+07 9.4287520417938977e+07 9.4065735988938525e+07 9.3818568901021227e+07 9.3546804038876623e+07 9.3239771351224676e+07 9.2895534989059508e+07 9.2509100212340012e+07 9.2075091871800572e+07 9.1587966816278473e+07 9.1042165019952700e+07 9.0431489119372532e+07 8.9757045403183758e+07 8.9006641956824109e+07 8.8183023342262626e+07 8.7288094760393411e+07 8.6328875617361367e+07 8.5317308970460862e+07 8.4276127130995318e+07 8.3239112917063758e+07 8.2261926685219809e+07 8.1413864045118868e+07 8.0804181332094043e+07 8.0584811682987943e+07 8.0976718468300611e+07 8.2301294414884597e+07 8.5045581237014011e+07 8.9980547367218375e+07 9.8405763585507825e+07 2.1520012748695556e+07 +9.1870623541180834e+00 2.5561853789199862e+08 2.5559339893811214e+08 2.5555089601604024e+08 2.5549488733634463e+08 2.5543815932731453e+08 2.5540088525025275e+08 2.5539215210970569e+08 2.5539661532299784e+08 2.5539837737609097e+08 2.5539367763218769e+08 2.5538368715804061e+08 2.5536791551802796e+08 2.5534509217064753e+08 2.5531402676593712e+08 2.5527353258427611e+08 2.5522210616150036e+08 2.5515795972301096e+08 2.5507905293766659e+08 2.5498300421075806e+08 2.5486697834025732e+08 2.5472763542769462e+08 2.5456093481029391e+08 2.5436104911368945e+08 2.5411790867309958e+08 2.5382182224068603e+08 2.5346807281172693e+08 2.5304975436696932e+08 2.5255659360673782e+08 2.5197623797093236e+08 2.5129436899769446e+08 2.5049452443114123e+08 2.4955785887880957e+08 2.4846291303225052e+08 2.4718541664886466e+08 2.4569816405787951e+08 2.4397095763600776e+08 2.4197074473465425e+08 2.3966197197008514e+08 2.3700731370606810e+08 2.3396880424446729e+08 2.3023416495934784e+08 2.2597295000923845e+08 2.2115364687708080e+08 2.1575986586461091e+08 2.0979668490426657e+08 2.0329677272329864e+08 1.9632497411646470e+08 1.8897973666919309e+08 1.8139010645082223e+08 1.7370639858761701e+08 1.6608685985358787e+08 1.5868620266729474e+08 1.5164195094531021e+08 1.4505319350650081e+08 1.3898285087750098e+08 1.3346175495675357e+08 1.2848928158139847e+08 1.2404455223553619e+08 1.2009192996126744e+08 1.1659332282387121e+08 1.1350461433205935e+08 1.1078832179064091e+08 1.0840449632843053e+08 1.0632403128145790e+08 1.0451504979096168e+08 1.0295021764303179e+08 1.0160837935233088e+08 1.0046590631019767e+08 9.9499874703249902e+07 9.8693829273923561e+07 9.8026432582782015e+07 9.7482979141424671e+07 9.7045992630990475e+07 9.6700883625165805e+07 9.6427372127774805e+07 9.6205460138684154e+07 9.6020843995534331e+07 9.5859595646544263e+07 9.5707493182030112e+07 9.5599876119789585e+07 9.5491218429698437e+07 9.5380351839100137e+07 9.5264230949536338e+07 9.5144440582286626e+07 9.5017486921487257e+07 9.4887891994916990e+07 9.4743728009899169e+07 9.4589442335318625e+07 9.4422196054103732e+07 9.4239772330382019e+07 9.4039477327915326e+07 9.3818276384211585e+07 9.3571759712949648e+07 9.3300709351533234e+07 9.2994484411649019e+07 9.2651153668581039e+07 9.2265735521922395e+07 9.1832868962914482e+07 9.1347025422735155e+07 9.0802659502525330e+07 9.0193590294234067e+07 8.9520920423549145e+07 8.8772491101791039e+07 8.7951039219450861e+07 8.7058464965580657e+07 8.6101769280394733e+07 8.5092863802569255e+07 8.4054421041284457e+07 8.3020135081665501e+07 8.2045519162617669e+07 8.1199687563639492e+07 8.0591608782896966e+07 8.0372816400516734e+07 8.0763692226810291e+07 8.2084783561879113e+07 8.4821850924538389e+07 8.9743834759914801e+07 9.8146886099663764e+07 2.1448126967253294e+07 +9.1920306768923421e+00 2.5514574602492777e+08 2.5512065330203596e+08 2.5507822545001918e+08 2.5502231405977842e+08 2.5496568007146364e+08 2.5492845745860878e+08 2.5491971678453669e+08 2.5492414221184495e+08 2.5492586518385872e+08 2.5492113051995501e+08 2.5491110542529163e+08 2.5489529878637111e+08 2.5487244049341318e+08 2.5484134011794451e+08 2.5480081052626824e+08 2.5474934800283846e+08 2.5468516440002590e+08 2.5460621878211960e+08 2.5451012880383143e+08 2.5439405849190697e+08 2.5425466711015281e+08 2.5408791323916459e+08 2.5388796953257298e+08 2.5364476660777086e+08 2.5334860798098949e+08 2.5299477299118531e+08 2.5257635826609397e+08 2.5208309226167822e+08 2.5150262348612407e+08 2.5082063537521043e+08 2.5002066906074458e+08 2.4908388469481280e+08 2.4798883151041141e+08 2.4671125187486416e+08 2.4522395812964955e+08 2.4349677778095227e+08 2.4149669240173042e+08 2.3918819422374398e+08 2.3653401699882621e+08 2.3349627058020839e+08 2.2976287259277451e+08 2.2550347243117461e+08 2.2068671974598947e+08 2.1529640247818053e+08 2.0933777844033909e+08 2.0284367836881876e+08 1.9587906532287794e+08 1.8854243351221931e+08 1.8096277991811535e+08 1.7329026518306074e+08 1.6568288345652583e+08 1.5829501000519037e+08 1.5126378459815359e+08 1.4468793929534984e+08 1.3863008431983629e+08 1.3312080548370939e+08 1.2815931902470636e+08 1.2372465903425160e+08 1.1978116617925793e+08 1.1629075839888828e+08 1.1320936904089895e+08 1.1049956545086496e+08 1.0812147015638196e+08 1.0604602807338372e+08 1.0424142925017899e+08 1.0268039903284046e+08 1.0134182780917668e+08 1.0020214279219839e+08 9.9238475030722558e+07 9.8434407712661758e+07 9.7768656322409302e+07 9.7226549391567051e+07 9.6790652952008963e+07 9.6446411591344178e+07 9.6173594251198515e+07 9.5952251963707075e+07 9.5768114327219516e+07 9.5607286785937518e+07 9.5455583293700010e+07 9.5348249178204775e+07 9.5239877383867383e+07 9.5129302592611611e+07 9.5013487365850896e+07 9.4894012330690876e+07 9.4767393018622741e+07 9.4638138761022374e+07 9.4494354265329063e+07 9.4340474720843941e+07 9.4173668682624057e+07 9.3991725149737462e+07 9.3791957376202390e+07 9.3571338686991453e+07 9.3325471059630677e+07 9.3055133694038153e+07 9.2749714798180506e+07 9.2407287764050975e+07 9.2022884103196725e+07 9.1591156917461097e+07 9.1106592189770535e+07 9.0563659117105976e+07 8.9956193211578563e+07 8.9285293447163105e+07 8.8538834086255789e+07 8.7719544366299465e+07 8.6829319474892303e+07 8.5875141925334960e+07 8.4868892003752574e+07 8.3833182543646455e+07 8.2801619083481908e+07 8.1829568057973042e+07 8.0985962794603333e+07 8.0379484563164875e+07 8.0161268229272500e+07 8.0551115270747140e+07 8.1868729343825966e+07 8.4598592473409459e+07 8.9507621393578649e+07 9.7888554604444817e+07 2.1376462612917453e+07 +9.1969989996666008e+00 2.5467330225002429e+08 2.5464825391141123e+08 2.5460590171552742e+08 2.5455008848321632e+08 2.5449354834151182e+08 2.5445637719821706e+08 2.5444762907910675e+08 2.5445201684006387e+08 2.5445370087765235e+08 2.5444893146092337e+08 2.5443887194261396e+08 2.5442303053886873e+08 2.5440013757580069e+08 2.5436900255606267e+08 2.5432843793893340e+08 2.5427693976800808e+08 2.5421271953507808e+08 2.5413373571497458e+08 2.5403760522936702e+08 2.5392149135313132e+08 2.5378205253784773e+08 2.5361524663448632e+08 2.5341524636053047e+08 2.5317198267689887e+08 2.5287575394519806e+08 2.5252183589372167e+08 2.5210332783151132e+08 2.5160996003003007e+08 2.5102938214368978e+08 2.5034727959241194e+08 2.4954719699496818e+08 2.4861030015559909e+08 2.4751514696655834e+08 2.4623749252962810e+08 2.4475016732805899e+08 2.4302302412716177e+08 2.4102307884365961e+08 2.3871486943003759e+08 2.3606118910202697e+08 2.3302422329083833e+08 2.2929208732674429e+08 2.2503452442792451e+08 2.2022034608134460e+08 2.1483351734435225e+08 2.0887947518289596e+08 2.0239121142329371e+08 1.9543380633133337e+08 1.8810579964269635e+08 1.8053613824757847e+08 1.7287482754342845e+08 1.6527960865551624e+08 1.5790451975460023e+08 1.5088631695895782e+08 1.4432337633873576e+08 1.3827799876164183e+08 1.3278052494105600e+08 1.2783001239417046e+08 1.2340540853720735e+08 1.1947103218012725e+08 1.1598881150547829e+08 1.1291472989623386e+08 1.1021140486375515e+08 1.0783903034970523e+08 1.0576860286783114e+08 1.0396837932107122e+08 1.0241114455440831e+08 1.0107583478473459e+08 9.9938932963457137e+07 9.8977624915298477e+07 9.8175532218102574e+07 9.7511423185578823e+07 9.6970660321333766e+07 9.6535851936467603e+07 9.6192476582091123e+07 9.5920352055461124e+07 9.5699578334983036e+07 9.5515918229968950e+07 9.5355510625063941e+07 9.5204205269210890e+07 9.5097153504528672e+07 9.4989067002774119e+07 9.4878783394829139e+07 9.4763273185458466e+07 9.4644112816428348e+07 9.4517827146303073e+07 9.4388912840432778e+07 9.4245507032631725e+07 9.4092032760574505e+07 9.3925666035683781e+07 9.3744201679579183e+07 9.3544960021680623e+07 9.3324922357486010e+07 9.3079702402822495e+07 9.2810076529741198e+07 9.2505461975851730e+07 9.2163936742413953e+07 9.1780545425305992e+07 9.1349955207104623e+07 9.0866666591661453e+07 9.0325163341258213e+07 8.9719297352543533e+07 8.9050163959064931e+07 8.8305670399620563e+07 8.7488538276778892e+07 8.6600657787393019e+07 8.5648993056567952e+07 8.4645393084516898e+07 8.3612411154483959e+07 8.2583564444833353e+07 8.1614072899300873e+07 8.0772689270818174e+07 8.0167808209260330e+07 7.9950166706803799e+07 8.0338987135428935e+07 8.1653131288359821e+07 8.4375805395552218e+07 8.9271906751928106e+07 9.7630768535391465e+07 2.1305019090952881e+07 +9.2019673224408596e+00 2.5420120722084287e+08 2.5417620399886456e+08 2.5413392747757599e+08 2.5407821252465758e+08 2.5402176615171164e+08 2.5398464652183774e+08 2.5397589104246095e+08 2.5398024125804737e+08 2.5398188650784451e+08 2.5397708250500119e+08 2.5396698875928584e+08 2.5395111282448080e+08 2.5392818546640718e+08 2.5389701612770015e+08 2.5385641686866224e+08 2.5380488350211582e+08 2.5374062717207381e+08 2.5366160577838051e+08 2.5356543552657229e+08 2.5344927896123576e+08 2.5330979374464622e+08 2.5314293702661547e+08 2.5294288162333012e+08 2.5269955890099353e+08 2.5240326214705658e+08 2.5204926352503520e+08 2.5163066505960742e+08 2.5113719889784187e+08 2.5055651591597441e+08 2.4987430360691535e+08 2.4907411017352498e+08 2.4813710718006489e+08 2.4704186129466692e+08 2.4576414047821456e+08 2.4427679348466325e+08 2.4254969846642491e+08 2.4054990580650422e+08 2.3824199928170320e+08 2.3558883164622608e+08 2.3255266393544301e+08 2.2882181063233742e+08 2.2456610736975977e+08 2.1975452713846770e+08 2.1437121158998215e+08 2.0842177611734921e+08 2.0193937271953201e+08 1.9498919781348774e+08 1.8766983556700554e+08 1.8011018178175861e+08 1.7246008585458446e+08 1.6487703549162364e+08 1.5751473182806274e+08 1.5050954782983124e+08 1.4395950434881607e+08 1.3792659384287778e+08 1.3244091291375382e+08 1.2750136123336153e+08 1.2308680025787283e+08 1.1916152745557788e+08 1.1568748161985947e+08 1.1262069636323756e+08 1.0992383948670700e+08 1.0755717636063482e+08 1.0549175511330742e+08 1.0369589944894625e+08 1.0214245365151776e+08 1.0081039972151339e+08 9.9676276265840977e+07 9.8717323798402220e+07 9.7917202231458485e+07 9.7254732613900676e+07 9.6715311372549385e+07 9.6281589026779637e+07 9.5939078040460944e+07 9.5667644984519571e+07 9.5447438697147906e+07 9.5264255149349242e+07 9.5104266610150546e+07 9.4953358555646122e+07 9.4846588546488345e+07 9.4738786734843239e+07 9.4628793694870308e+07 9.4513587858026370e+07 9.4394741489925057e+07 9.4268788755643979e+07 9.4140213684875280e+07 9.3997185764489084e+07 9.3844115908049718e+07 9.3678187567837790e+07 9.3497201375524163e+07 9.3298484721090212e+07 9.3079026853665084e+07 9.2834453201958463e+07 9.2565537319385767e+07 9.2261725407339647e+07 9.1921100068462715e+07 9.1538718955201134e+07 9.1109263301304162e+07 9.0627248100772798e+07 9.0087171650373340e+07 8.9482902196091652e+07 8.8815531441988632e+07 8.8072999529039443e+07 8.7258020442796215e+07 8.6372479400156945e+07 8.5423322176938996e+07 8.4422366553121552e+07 8.3392106388195515e+07 8.2365970686180592e+07 8.1399033212631002e+07 8.0559866523216456e+07 7.9956579255623221e+07 7.9739511368947566e+07 8.0127307354344189e+07 8.1437988921252221e+07 8.4153489201021552e+07 8.9036690316452622e+07 9.7373527325357899e+07 2.1233795807802085e+07 +9.2069356452151183e+00 2.5372946540905419e+08 2.5370450603525802e+08 2.5366230559381846e+08 2.5360668812228742e+08 2.5355033551742187e+08 2.5351326747125107e+08 2.5350450471215180e+08 2.5350881750425342e+08 2.5351042411308643e+08 2.5350558569041750e+08 2.5349545791343823e+08 2.5347954768059435e+08 2.5345658620184493e+08 2.5342538286865225e+08 2.5338474935033217e+08 2.5333318123875880e+08 2.5326888934277284e+08 2.5318983100195107e+08 2.5309362172352654e+08 2.5297742334178859e+08 2.5283789275270650e+08 2.5267098643340045e+08 2.5247087733488858e+08 2.5222749728836426e+08 2.5193113458853939e+08 2.5157705787927756e+08 2.5115837193570256e+08 2.5066481083890438e+08 2.5008402676431525e+08 2.4940170936484629e+08 2.4860141052448994e+08 2.4766430767532000e+08 2.4656897637744734e+08 2.4529119757419059e+08 2.4380383841884866e+08 2.4207680257916123e+08 2.4007717502418369e+08 2.3776958545984513e+08 2.3511694625062701e+08 2.3208159406248990e+08 2.2835204396961462e+08 2.2409822261587271e+08 2.1928926416187716e+08 2.1390948633133620e+08 2.0796468221840465e+08 2.0148816307951698e+08 1.9454524043132275e+08 1.8723454178274840e+08 1.7968491085504121e+08 1.7204604029425335e+08 1.6447516399839059e+08 1.5712564613103855e+08 1.5013347700719598e+08 1.4359632303189856e+08 1.3757586919910166e+08 1.3210196898233601e+08 1.2717336508192922e+08 1.2276883370588885e+08 1.1885265149373662e+08 1.1538676821491115e+08 1.1232726790424928e+08 1.0963686877438577e+08 1.0727590763842037e+08 1.0521548425534020e+08 1.0342398907700931e+08 1.0187432576542634e+08 1.0054552205966285e+08 9.9414172138674408e+07 9.8457571119002059e+07 9.7659417191762164e+07 9.6998584046571091e+07 9.6460501984962299e+07 9.6027863663131341e+07 9.5686215407279938e+07 9.5415472479821995e+07 9.5195832492614344e+07 9.5013124528479114e+07 9.4853554185255542e+07 9.4703042597917259e+07 9.4596553749608144e+07 9.4489036026136935e+07 9.4379332939352557e+07 9.4264430830954596e+07 9.4145897799281970e+07 9.4020277295476720e+07 9.3892040744063199e+07 9.3749389911308289e+07 9.3596723614671633e+07 9.3431232731373772e+07 9.3250723690987587e+07 9.3052530929020658e+07 9.2833651631419063e+07 9.2589722914218888e+07 9.2321515521933764e+07 9.2018504553324759e+07 9.1678777204770684e+07 9.1297404157704905e+07 9.0869080667360172e+07 9.0388336187248260e+07 8.9849683517809033e+07 8.9247007219082519e+07 8.8581395376776829e+07 8.7840820959480643e+07 8.7027990354228750e+07 8.6144783808238879e+07 8.5198128786875248e+07 8.4199811916162983e+07 8.3172267757266715e+07 8.2148837325974971e+07 8.1184448522020191e+07 8.0347494080802783e+07 7.9745797234703958e+07 7.9529301749286786e+07 7.9916075458979905e+07 8.1223301766433641e+07 8.3931643397748262e+07 8.8801971566769496e+07 9.7116830405108243e+07 2.1162792171084996e+07 +9.2119039679893771e+00 2.5325807735955915e+08 2.5323316188521791e+08 2.5319103779171672e+08 2.5313551731111616e+08 2.5307925846362731e+08 2.5304224207666203e+08 2.5303347211386931e+08 2.5303774760580134e+08 2.5303931572018379e+08 2.5303444304349151e+08 2.5302428143107483e+08 2.5300833713288635e+08 2.5298534180685219e+08 2.5295410480305725e+08 2.5291343740687659e+08 2.5286183499964470e+08 2.5279750806761137e+08 2.5271841340434366e+08 2.5262216583650002e+08 2.5250592650761297e+08 2.5236635157243866e+08 2.5219939686179706e+08 2.5199923549752337e+08 2.5175579983593276e+08 2.5145937326002881e+08 2.5110522093929455e+08 2.5068645043255481e+08 2.5019279781571510e+08 2.4961191663806090e+08 2.4892949880005789e+08 2.4812909996409079e+08 2.4719190353645378e+08 2.4609649408521307e+08 2.4481866565958959e+08 2.4333130393892273e+08 2.4160433823398507e+08 2.3960488821986133e+08 2.3729762963372174e+08 2.3464553452304399e+08 2.3161101520827574e+08 2.2788278878739294e+08 2.2363087151423162e+08 2.1882455838516480e+08 2.1344834267368838e+08 2.0750819445076793e+08 2.0103758331612101e+08 1.9410193483689886e+08 1.8679991877824745e+08 1.7926032579330340e+08 1.7163269103272849e+08 1.6407399420256028e+08 1.5673726256249407e+08 1.4975810428158817e+08 1.4323383208907270e+08 1.3722582446042445e+08 1.3176369272271882e+08 1.2684602347550520e+08 1.2245150838708998e+08 1.1854440377930951e+08 1.1508667076021959e+08 1.1203444397801438e+08 1.0935049217826191e+08 1.0699522362929243e+08 1.0493978973664048e+08 1.0315264764539504e+08 1.0160676033488601e+08 1.0028120123679960e+08 9.9152620018874481e+07 9.8198366313827634e+07 9.7402176535620391e+07 9.6742976920325190e+07 9.6206231595645100e+07 9.5774675283424571e+07 9.5433888121157080e+07 9.5163833980774179e+07 9.4944759161513716e+07 9.4762525808406278e+07 9.4603372792228088e+07 9.4453256838704750e+07 9.4347048557095036e+07 9.4239814320590645e+07 9.4130400572905332e+07 9.4015801549466759e+07 9.3897581190327913e+07 9.3772292212454244e+07 9.3644393465333700e+07 9.3502118921379536e+07 9.3349855329555243e+07 9.3184800976388440e+07 9.3004768077094495e+07 9.2807098097723693e+07 9.2588796144357368e+07 9.2345510994837031e+07 9.2078010594062865e+07 9.1775798872166365e+07 9.1436967611705005e+07 9.1056600495568767e+07 9.0629406770580679e+07 9.0149930319168597e+07 8.9612698414759412e+07 8.9011611896232948e+07 8.8347755241971463e+07 8.7609134174032062e+07 8.6798447498844430e+07 8.5917570504589155e+07 8.4973412384979188e+07 8.3977728678040981e+07 8.2952894772205204e+07 8.1932163880700663e+07 8.0970318349684760e+07 8.0135571470672309e+07 7.9535461677250028e+07 7.9319537379919812e+07 7.9705290979041427e+07 8.1009069345826060e+07 8.3710267491822556e+07 8.8567749980074078e+07 9.6860677202976406e+07 2.1092007589598875e+07 +9.2168722907636358e+00 2.5278704295551527e+08 2.5276217323246178e+08 2.5272012515587857e+08 2.5266470217920759e+08 2.5260853702666128e+08 2.5257157235683176e+08 2.5256279526124510e+08 2.5256703357803255e+08 2.5256856334405127e+08 2.5256365657894063e+08 2.5255346132657263e+08 2.5253748319506022e+08 2.5251445429474813e+08 2.5248318394312015e+08 2.5244248304947072e+08 2.5239084679493192e+08 2.5232648535484293e+08 2.5224735499212652e+08 2.5215106986980927e+08 2.5203479046103391e+08 2.5189517220245570e+08 2.5172817030671537e+08 2.5152795810154930e+08 2.5128446852916908e+08 2.5098798014017931e+08 2.5063375467556033e+08 2.5021490251215905e+08 2.4972116177833608e+08 2.4914018747483587e+08 2.4845767383504429e+08 2.4765718039699644e+08 2.4671989664711055e+08 2.4562441627722645e+08 2.4434654656408826e+08 2.4285919184143561e+08 2.4113230718777227e+08 2.3913304710445303e+08 2.3682613346123677e+08 2.3417459805971232e+08 2.3114092889793807e+08 2.2741404652300954e+08 2.2316405540149546e+08 2.1836041103087214e+08 2.1298778171233639e+08 2.0705231376856437e+08 2.0058763423150426e+08 1.9365928167345428e+08 1.8636596703302932e+08 1.7883642691398662e+08 1.7122003823231134e+08 1.6367352612327293e+08 1.5634958101527634e+08 1.4938342943729332e+08 1.4287203121618697e+08 1.3687645925238982e+08 1.3142608370665665e+08 1.2651933594537248e+08 1.2213482380370712e+08 1.1823678379338138e+08 1.1478718872208181e+08 1.1174222404048660e+08 1.0906470914708333e+08 1.0671512377715893e+08 1.0466467099751276e+08 1.0288187459213978e+08 1.0133975679609318e+08 1.0001743668808828e+08 9.8891619341053486e+07 9.7939708817146137e+07 9.7145479697326154e+07 9.6487910669846013e+07 9.5952499639747381e+07 9.5522023323204517e+07 9.5182095618342325e+07 9.4912728924468175e+07 9.4694218141755536e+07 9.4512458427861840e+07 9.4353721870594785e+07 9.4204000718313277e+07 9.4098072410013810e+07 9.3991121059824258e+07 9.3881996037759796e+07 9.3767699456583381e+07 9.3649791106849670e+07 9.3524832951111451e+07 9.3397271293887258e+07 9.3255372240622386e+07 9.3103510499638528e+07 9.2938891750842810e+07 9.2759333982887402e+07 9.2562185677454114e+07 9.2344459843942210e+07 9.2101816896583572e+07 9.1835021990226507e+07 9.1533607820156783e+07 9.1195670747647375e+07 9.0816307429269359e+07 9.0390241073876113e+07 8.9912029962378249e+07 8.9376215810292780e+07 8.8776715700217113e+07 8.8114610514281049e+07 8.7377938653625205e+07 8.6569391362431586e+07 8.5690838980244607e+07 8.4749172467875600e+07 8.3756116341161877e+07 8.2733986941436410e+07 8.1715949865039706e+07 8.0756642215920106e+07 7.9924098218109399e+07 7.9325572112029999e+07 7.9110217790892467e+07 7.9494953442203313e+07 8.0795291179517448e+07 8.3489360987244442e+07 8.8334025031755924e+07 9.6605067145191535e+07 2.1021441473318141e+07 +9.2218406135378945e+00 2.5231636753024602e+08 2.5229154324149117e+08 2.5224957032384628e+08 2.5219424476840898e+08 2.5213817324331889e+08 2.5210126031787807e+08 2.5209247615705076e+08 2.5209667742455786e+08 2.5209816898841742e+08 2.5209322830012757e+08 2.5208299960221395e+08 2.5206698786927885e+08 2.5204392566702151e+08 2.5201262228942928e+08 2.5197188827790067e+08 2.5192021862244990e+08 2.5185582320142332e+08 2.5177665776038501e+08 2.5168033581617039e+08 2.5156401719196230e+08 2.5142435662957695e+08 2.5125730875157335e+08 2.5105704712593022e+08 2.5081350534103602e+08 2.5051695719591153e+08 2.5016266104724047e+08 2.4974373012390164e+08 2.4924990466614187e+08 2.4866884120063388e+08 2.4798623638085967e+08 2.4718565371615094e+08 2.4624828887951487e+08 2.4515274480059770e+08 2.4387484210664240e+08 2.4238750391058043e+08 2.4066071118625405e+08 2.3866165337771422e+08 2.3635509858874202e+08 2.3370413844533443e+08 2.3067133664569721e+08 2.2694581860276252e+08 2.2269777560328829e+08 2.1789682331080914e+08 2.1252780453098273e+08 2.0659704111557910e+08 2.0013831661846966e+08 1.9321728157405663e+08 1.8593268701746383e+08 1.7841321452609095e+08 1.7080808204761896e+08 1.6327375977277437e+08 1.5596260137542218e+08 1.4900945225296381e+08 1.4251092010355458e+08 1.3652777319572926e+08 1.3108914150122762e+08 1.2619330201888095e+08 1.2181877945399325e+08 1.1792979101366031e+08 1.1448832156350635e+08 1.1145060754461245e+08 1.0877951912639533e+08 1.0643560752263854e+08 1.0439012747526275e+08 1.0261166935225482e+08 1.0107331458268647e+08 9.9754227846222967e+07 9.8631169537343293e+07 9.7681598060872719e+07 9.6889326108918175e+07 9.6233384727353424e+07 9.5699305549999297e+07 9.5269907215895683e+07 9.4930837333015636e+07 9.4662156745681360e+07 9.4444208869028464e+07 9.4262921823357508e+07 9.4104600857740626e+07 9.3955273675062418e+07 9.3849624747233346e+07 9.3742955683383405e+07 9.3634118774080276e+07 9.3520123993180275e+07 9.3402526990386963e+07 9.3277898953586683e+07 9.3150673672810659e+07 9.3009149313015550e+07 9.2857688569699451e+07 9.2693504500488877e+07 9.2514420855116487e+07 9.2317793116223410e+07 9.2100642179515034e+07 9.1858640070257381e+07 9.1592549162741289e+07 9.1291930851424262e+07 9.0954886068640858e+07 9.0576524417185739e+07 9.0151583038331419e+07 8.9674634580638260e+07 8.9140235171433464e+07 8.8542318101650238e+07 8.7881960668093711e+07 8.7147233877244771e+07 8.6340821428684831e+07 8.5464588724128470e+07 8.4525408530048907e+07 8.3534974406180531e+07 8.2515543771738097e+07 8.1500194791607574e+07 8.0543419639153674e+07 7.9713073846374199e+07 7.9116128065899789e+07 7.8901342510409474e+07 7.9285062374624953e+07 8.0581966785733312e+07 8.3268923386164501e+07 8.8100796194944382e+07 9.6349999655582085e+07 2.0951093233394112e+07 +9.2268089363121533e+00 2.5184605123913357e+08 2.5182127372425196e+08 2.5177937545420107e+08 2.5172414705130941e+08 2.5166816913631737e+08 2.5163130795395610e+08 2.5162251679268163e+08 2.5162668113771185e+08 2.5162813464455119e+08 2.5162316019795969e+08 2.5161289824960998e+08 2.5159685314610121e+08 2.5157375791342512e+08 2.5154242183108565e+08 2.5150165507983792e+08 2.5144995246930379e+08 2.5138552359240797e+08 2.5130632369240108e+08 2.5120996565668702e+08 2.5109360867888838e+08 2.5095390682945561e+08 2.5078681416769022e+08 2.5058650453798431e+08 2.5034291223365375e+08 2.5004630638245627e+08 2.4969194200180078e+08 2.4927293520614141e+08 2.4877902840599930e+08 2.4819787972964317e+08 2.4751518833638325e+08 2.4671452180277145e+08 2.4577708209385559e+08 2.4468148149119386e+08 2.4340355409404987e+08 2.4191624192048913e+08 2.4018955196324432e+08 2.3819070872762585e+08 2.3588452665128130e+08 2.3323415725348139e+08 2.3020223995413768e+08 2.2647810644184119e+08 2.2223203343449891e+08 2.1743379642571005e+08 2.1206841220322219e+08 2.0614237742538184e+08 1.9968963125963524e+08 1.9277593516294581e+08 1.8550007919332868e+08 1.7799068893042988e+08 1.7039682262553701e+08 1.6287469515643650e+08 1.5557632352245641e+08 1.4863617250132146e+08 1.4215049843632755e+08 1.3617976590602663e+08 1.3075286566921678e+08 1.2586792121942708e+08 1.2150337483274972e+08 1.1762342491433887e+08 1.1419006874438366e+08 1.1115959393989111e+08 1.0849492155913538e+08 1.0615667430389258e+08 1.0411615860481364e+08 1.0234203135842140e+08 1.0080743312579444e+08 9.9491574141456723e+07 9.8371270037537932e+07 9.7424033474706739e+07 9.6633715200052932e+07 9.5979398522932544e+07 9.5446648756943017e+07 9.5018326392648771e+07 9.4680112697017893e+07 9.4412116877145678e+07 9.4194730776918381e+07 9.4013915429375067e+07 9.3856009188879758e+07 9.3707075145030320e+07 9.3601705005448610e+07 9.3495317628525898e+07 9.3386768219977170e+07 9.3273074597770140e+07 9.3155788280258939e+07 9.3031489660176203e+07 9.2904600042916015e+07 9.2763449580267891e+07 9.2612388982297406e+07 9.2448638668954939e+07 9.2270028138616398e+07 9.2073919859817073e+07 9.1857342598176837e+07 9.1615979964455992e+07 9.1350591561817691e+07 9.1050767417971373e+07 9.0714613028741479e+07 9.0337250915670365e+07 8.9913432122717619e+07 8.9437743635782659e+07 8.8904755963157162e+07 8.8308418569049552e+07 8.7649805175938815e+07 8.6917019321640357e+07 8.6112737179377675e+07 8.5238819223284379e+07 8.4302120064220965e+07 8.3314302371540844e+07 8.2297564767703623e+07 8.1284898171249300e+07 8.0330650135745347e+07 7.9502497877110362e+07 7.8907129064084098e+07 7.8692911064890206e+07 7.9075617300219253e+07 8.0369095680721760e+07 8.3048954188736737e+07 8.7868062940935820e+07 9.6095474155811250e+07 2.0880962282154880e+07 +9.2317772590864120e+00 2.5137609843952647e+08 2.5135136486756209e+08 2.5130954253932482e+08 2.5125441098943830e+08 2.5119852670330349e+08 2.5116171724603179e+08 2.5115291914726880e+08 2.5115704669795260e+08 2.5115846229299194e+08 2.5115345425252363e+08 2.5114315924785572e+08 2.5112708100447407e+08 2.5110395301219431e+08 2.5107258454517096e+08 2.5103178543169868e+08 2.5098005031049389e+08 2.5091558850118443e+08 2.5083635475957331e+08 2.5073996136088496e+08 2.5062356688879743e+08 2.5048382476571327e+08 2.5031668851510504e+08 2.5011633229289803e+08 2.4987269115701360e+08 2.4957602964346597e+08 2.4922159947499320e+08 2.4880251968551821e+08 2.4830853491380173e+08 2.4772730496476355e+08 2.4704453158926827e+08 2.4624378652677166e+08 2.4530627813874590e+08 2.4421062817345539e+08 2.4293268432181042e+08 2.4144540763214195e+08 2.3971883124099764e+08 2.3772021483103061e+08 2.3541441927229398e+08 2.3276465604608345e+08 2.2973364031427872e+08 2.2601091144385564e+08 2.2176683019870973e+08 2.1697133156577659e+08 2.1160960579261234e+08 2.0568832362159428e+08 1.9924157892809308e+08 1.9233524305454490e+08 1.8506814401333743e+08 1.7756885041940472e+08 1.6998626010518962e+08 1.6247633227220145e+08 1.5519074732975414e+08 1.4826358994922665e+08 1.4179076589431396e+08 1.3583243699449867e+08 1.3041725576917216e+08 1.2554319306632949e+08 1.2118860943097505e+08 1.1731768496629064e+08 1.1389242972118987e+08 1.1086918267337653e+08 1.0821091588525778e+08 1.0587832355617820e+08 1.0384276381826730e+08 1.0207296004072569e+08 1.0054211185427214e+08 9.9229475001716256e+07 9.8111920269083217e+07 9.7167014485887095e+07 9.6378646398130134e+07 9.5725951484278947e+07 9.5194528688794985e+07 9.4767280282389864e+07 9.4429921140056238e+07 9.4162608749418989e+07 9.3945783296736807e+07 9.3765438677984521e+07 9.3607946297071710e+07 9.3459404562092394e+07 9.3354312619093597e+07 9.3248206330481738e+07 9.3139943811058998e+07 9.3026550706967458e+07 9.2909574413702890e+07 9.2785604508633375e+07 9.2659049842934504e+07 9.2518272481971219e+07 9.2367611178080499e+07 9.2204293697570533e+07 9.2026155275796428e+07 9.1830565352004334e+07 9.1614560544970945e+07 9.1373836025856629e+07 9.1109148635558188e+07 9.0810116969861761e+07 9.0474851079993561e+07 9.0098486378996000e+07 8.9675787783922836e+07 8.9201356587471545e+07 8.8669777648314893e+07 8.8075016568892390e+07 8.7418143508387804e+07 8.6687294461820096e+07 8.5885138094343722e+07 8.5013529962724134e+07 8.4079306561079979e+07 8.3094099733954608e+07 8.2080049432224214e+07 8.1070059512854502e+07 8.0118333220613047e+07 7.9292369829938710e+07 7.8698574629811600e+07 7.8484922978918806e+07 7.8866617741333261e+07 8.0156677379017025e+07 8.2829452893322557e+07 8.7635824738902614e+07 9.5841490065299883e+07 2.0811048033105064e+07 +9.2367455818606707e+00 2.5090650907189313e+08 2.5088181970833549e+08 2.5084007282929718e+08 2.5078503855403224e+08 2.5072924791383463e+08 2.5069249016194272e+08 2.5068368519009846e+08 2.5068777607433856e+08 2.5068915390224335e+08 2.5068411243183768e+08 2.5067378456474006e+08 2.5065767341155821e+08 2.5063451292977101e+08 2.5060311239779630e+08 2.5056228129814067e+08 2.5051051410917425e+08 2.5044601988991916e+08 2.5036675292221943e+08 2.5027032488654187e+08 2.5015389377652791e+08 2.5001411239008069e+08 2.4984693374218035e+08 2.4964653233479446e+08 2.4940284404968104e+08 2.4910612891090545e+08 2.4875163539101672e+08 2.4833248547671559e+08 2.4783842609344363e+08 2.4725711879704311e+08 2.4657426801536462e+08 2.4577344974596465e+08 2.4483587885149813e+08 2.4374018665951166e+08 2.4246223457382292e+08 2.4097500279614124e+08 2.3924855073069113e+08 2.3725017335288227e+08 2.3494477806379077e+08 2.3229563637386003e+08 2.2926553920644587e+08 2.2554423500187826e+08 2.2130216718864539e+08 2.1650942991041753e+08 2.1115138635143590e+08 2.0523488061733952e+08 1.9879416038675699e+08 1.9189520585411865e+08 1.8463688192138556e+08 1.7714769927725139e+08 1.6957639461829013e+08 1.6207867111122057e+08 1.5480587266413581e+08 1.4789170435777599e+08 1.4143172215195075e+08 1.3548578606731755e+08 1.3008231135512102e+08 1.2521911707512401e+08 1.2087448273594734e+08 1.1701257063677225e+08 1.1359540394734323e+08 1.1057937318876147e+08 1.0792750154186091e+08 1.0560055471217488e+08 1.0356994254525760e+08 1.0180445482673955e+08 1.0027735019436090e+08 9.8967929852458775e+07 9.7853119657070354e+07 9.6910540519462928e+07 9.6124119128421724e+07 9.5473043037088275e+07 9.4942944771690965e+07 9.4516768311936542e+07 9.4180262089622945e+07 9.3913631790686309e+07 9.3697365857601702e+07 9.3517490999335751e+07 9.3360411613121748e+07 9.3212261357919618e+07 9.3107447020720288e+07 9.3001621222204670e+07 9.2893644981126577e+07 9.2780551755145445e+07 9.2663884825791538e+07 9.2540242934955001e+07 9.2414022509443805e+07 9.2273617455514207e+07 9.2123354595312208e+07 9.1960469025935575e+07 9.1782801707127750e+07 9.1587729034564540e+07 9.1372295462971747e+07 9.1132207698644593e+07 9.0868219830004692e+07 9.0569978954717681e+07 9.0235599672215506e+07 8.9860230259237289e+07 8.9438649476638272e+07 8.8965472893298462e+07 8.8435299687747821e+07 8.7842111565689325e+07 8.7186975133769527e+07 8.6458058770730093e+07 8.5658023651231334e+07 8.4788720425507188e+07 8.3856967509444788e+07 8.2874365988241509e+07 8.1862997266167253e+07 8.0855678323509529e+07 7.9906468406521350e+07 7.9082689222737134e+07 7.8490464284591541e+07 7.8277377775241897e+07 7.8658063218408689e+07 7.9944711393121809e+07 8.2610418996134847e+07 8.7404081055871651e+07 9.5588046801344797e+07 2.0741349900925543e+07 +9.2417139046349295e+00 2.5043728497828555e+08 2.5041264094306427e+08 2.5037096845252600e+08 2.5031603167900479e+08 2.5026033471466154e+08 2.5022362865691510e+08 2.5021481687836695e+08 2.5021887122447765e+08 2.5022021142904773e+08 2.5021513669265902e+08 2.5020477615640694e+08 2.5018863232306534e+08 2.5016543962142009e+08 2.5013400734298071e+08 2.5009314463217375e+08 2.5004134581729677e+08 2.4997681970857513e+08 2.4989752012870550e+08 2.4980105817980948e+08 2.4968459128609321e+08 2.4954477164345732e+08 2.4937755178595465e+08 2.4917710659584674e+08 2.4893337283889180e+08 2.4863660610530311e+08 2.4828205166256097e+08 2.4786283448317558e+08 2.4736870383717170e+08 2.4678732310603067e+08 2.4610439947925293e+08 2.4530351330716100e+08 2.4436588605789539e+08 2.4327015875088134e+08 2.4199220662209529e+08 2.4050502915117669e+08 2.3877871213165459e+08 2.3678058594723344e+08 2.3447560462683648e+08 2.3182709977650294e+08 2.2879793809957150e+08 2.2507807849740154e+08 2.2083804568635893e+08 2.1604809262839785e+08 2.1069375492170393e+08 2.0478204931563765e+08 1.9834737638887000e+08 1.9145582415764537e+08 1.8420629335252079e+08 1.7672723578005362e+08 1.6916722628864512e+08 1.6168171165760109e+08 1.5442169938596585e+08 1.4752051548253003e+08 1.4107336687868860e+08 1.3513981272615010e+08 1.2974803197688866e+08 1.2489569275710249e+08 1.2056099423141770e+08 1.1670808138997759e+08 1.1329899087320130e+08 1.1029016492668097e+08 1.0764467796312889e+08 1.0532336720161296e+08 1.0329769421263899e+08 1.0153651514134875e+08 1.0001314756984210e+08 9.8706938116887137e+07 9.7594867624272883e+07 9.6654610998252705e+07 9.5870132813762322e+07 9.5220672604598433e+07 9.4691896429657921e+07 9.4266789905908167e+07 9.3931134971124604e+07 9.3665185427236512e+07 9.3449477886699036e+07 9.3270071821305573e+07 9.3113404565922648e+07 9.2965644962241679e+07 9.2861107640369490e+07 9.2755561734605312e+07 9.2647871161747411e+07 9.2535077174500376e+07 9.2418718949515283e+07 9.2295404372843772e+07 9.2169517477019012e+07 9.2029483936327085e+07 9.1879618670262486e+07 9.1717164091217011e+07 9.1539966871065289e+07 9.1345410346853554e+07 9.1130546792973101e+07 9.0891094425375491e+07 9.0627804589129955e+07 9.0330352818497524e+07 8.9996858253243029e+07 8.9622482006674305e+07 8.9202016653564453e+07 8.8730092008884281e+07 8.8201321540333316e+07 8.7609703021898419e+07 8.6956299518648356e+07 8.6229311719168738e+07 8.5431393325991094e+07 8.4564390092903093e+07 8.3635102396067023e+07 8.2655100627197146e+07 8.1646407768575951e+07 8.0641754108480841e+07 7.9695055204492718e+07 7.8873455571631074e+07 7.8282797548078597e+07 7.8070274974926114e+07 7.8449953250094444e+07 7.9733197233939677e+07 8.2391851991766647e+07 8.7172831357082829e+07 9.5335143778970376e+07 2.0671867301473249e+07 +9.2466822274091882e+00 2.4996842762187099e+08 2.4994382916471463e+08 2.4990223153083652e+08 2.4984739225300547e+08 2.4979178903652397e+08 2.4975513467333284e+08 2.4974631615885445e+08 2.4975033409452912e+08 2.4975163681887841e+08 2.4974652897978655e+08 2.4973613596759829e+08 2.4971995968303016e+08 2.4969673503030777e+08 2.4966527132295248e+08 2.4962437737567505e+08 2.4957254737520146e+08 2.4950798989625022e+08 2.4942865831588548e+08 2.4933216317578730e+08 2.4921566134933707e+08 2.4907580445452520e+08 2.4890854457116365e+08 2.4870805699701801e+08 2.4846427943967521e+08 2.4816746313555720e+08 2.4781285019081005e+08 2.4739356859697720e+08 2.4689937002607423e+08 2.4631791975966641e+08 2.4563492783374539e+08 2.4483397904539251e+08 2.4389630157183155e+08 2.4280054623709539e+08 2.4152260222787932e+08 2.4003548842444667e+08 2.3830931713221529e+08 2.3631145425638598e+08 2.3400690055077219e+08 2.3135904778206584e+08 2.2833083845124191e+08 2.2461244330115998e+08 2.2037446696265543e+08 2.1558732087737167e+08 2.1023671253526926e+08 2.0432983060926354e+08 1.9790122767809051e+08 1.9101709855180115e+08 1.8377637873341402e+08 1.7630746019557223e+08 1.6875875523291287e+08 1.6128545388882914e+08 1.5403822734974027e+08 1.4715002307298544e+08 1.4071569973888648e+08 1.3479451656771955e+08 1.2941441718009172e+08 1.2457291961994335e+08 1.2024814339734070e+08 1.1640421668637773e+08 1.1300318994586176e+08 1.1000155732483110e+08 1.0736244458060677e+08 1.0504676045183474e+08 1.0302601824484588e+08 1.0126914040718898e+08 9.9749503402232826e+07 9.8446499215643167e+07 9.7337163591219604e+07 9.6399225342642546e+07 9.5616686874928340e+07 9.4968839608024046e+07 9.4441383084266454e+07 9.4017344486757651e+07 9.3682539207788855e+07 9.3417269083181784e+07 9.3202118808868706e+07 9.3023180569670320e+07 9.2866924582049340e+07 9.2719554802560046e+07 9.2615293906341851e+07 9.2510027296522021e+07 9.2402621782372147e+07 9.2290126395228371e+07 9.2174076215695441e+07 9.2051088253923461e+07 9.1925534177926257e+07 9.1785871357602879e+07 9.1636402837189525e+07 9.1474378328606918e+07 9.1297650203868136e+07 9.1103608726442367e+07 9.0889313973798692e+07 9.0650495646198973e+07 9.0387902354815811e+07 9.0091238004840672e+07 8.9758626268822476e+07 8.9385241069251642e+07 8.8965888765427664e+07 8.8495213387811795e+07 8.7967842662880942e+07 8.7377790398048535e+07 8.6726116127474576e+07 8.6001052776286900e+07 8.5205246592370868e+07 8.4340538444028229e+07 8.3413710705965802e+07 8.2436303141816810e+07 8.1430280436728686e+07 8.0428286371170849e+07 7.9484093123719886e+07 7.8664668390788227e+07 7.8075573938256875e+07 7.7863614097159281e+07 7.8242287353380099e+07 7.9522134410396978e+07 8.2173751372812226e+07 8.6942075105655164e+07 9.5082780411055043e+07 2.0602599651780903e+07 +9.2516505501834470e+00 2.4949993894414923e+08 2.4947538760327262e+08 2.4943386431573704e+08 2.4937912217882347e+08 2.4932361279949400e+08 2.4928701014119080e+08 2.4927818496684670e+08 2.4928216661910805e+08 2.4928343200572583e+08 2.4927829122685632e+08 2.4926786593165046e+08 2.4925165742431226e+08 2.4922840108869714e+08 2.4919690626924050e+08 2.4915598145831951e+08 2.4910412071158502e+08 2.4903953237975347e+08 2.4896016940917096e+08 2.4886364179722792e+08 2.4874710588677186e+08 2.4860721274104205e+08 2.4843991401199320e+08 2.4823938544751921e+08 2.4799556575618747e+08 2.4769870189895955e+08 2.4734403286520469e+08 2.4692468969813576e+08 2.4643042652964368e+08 2.4584891061468899e+08 2.4516585492019865e+08 2.4436484878411299e+08 2.4342712719617873e+08 2.4233135089606076e+08 2.4105342314036450e+08 2.3956638233173394e+08 2.3784036740859705e+08 2.3584277991140988e+08 2.3353866741365966e+08 2.3089148190744075e+08 2.2786424170796067e+08 2.2414733077279750e+08 2.1991143227742681e+08 2.1512711580466270e+08 2.0978026021335393e+08 2.0387822538142803e+08 1.9745571498833361e+08 1.9057902961394745e+08 1.8334713848134509e+08 1.7588837278345168e+08 1.6835098155980131e+08 1.6088989777505139e+08 1.5365545640309915e+08 1.4678022687308052e+08 1.4035872039138660e+08 1.3444989718442866e+08 1.2908146650584771e+08 1.2425079716724755e+08 1.1993592971041586e+08 1.1610097598349449e+08 1.1270800060927276e+08 1.0971354981839307e+08 1.0708080082283662e+08 1.0477073388741006e+08 1.0275491406372032e+08 1.0100233004447460e+08 9.9486417110499427e+07 9.8186612567362204e+07 9.7080006976129279e+07 9.6144382970971733e+07 9.5363780730497107e+07 9.4717543466386750e+07 9.4191404155260101e+07 9.3768431474802464e+07 9.3434474220759973e+07 9.3169882180342048e+07 9.2955288046918467e+07 9.2776816668165490e+07 9.2620971086093470e+07 9.2473990304259062e+07 9.2370005244674608e+07 9.2265017334660947e+07 9.2157896270326108e+07 9.2045698845347390e+07 9.1929956053182349e+07 9.1807294007751197e+07 9.1682072042633101e+07 9.1542779150554195e+07 9.1393706528105244e+07 9.1232111171218321e+07 9.1055851139615402e+07 9.0862323608789891e+07 9.0648596442159280e+07 9.0410410799416438e+07 9.0148512566913754e+07 8.9852633955442086e+07 8.9520903162842736e+07 8.9148506893148661e+07 8.8730265260933921e+07 8.8260836481685475e+07 8.7734862510344341e+07 8.7146373152643681e+07 8.6496424422823951e+07 8.5773281409017384e+07 8.4979582922488108e+07 8.4117164956285596e+07 8.3192791922242805e+07 8.2217973021313161e+07 8.1214614765951678e+07 8.0215274613129929e+07 7.9273581671655223e+07 7.8456327192844406e+07 7.7868792971203446e+07 7.7657394659448907e+07 7.8035065043346018e+07 7.9311522429748639e+07 8.1956116630042881e+07 8.6711811762880102e+07 9.4830956108410552e+07 2.0533546370056726e+07 +9.2566188729577057e+00 2.4903182537113854e+08 2.4900731700646061e+08 2.4896586905667463e+08 2.4891122342431536e+08 2.4885580791426930e+08 2.4881925697904503e+08 2.4881042522675654e+08 2.4881437072089744e+08 2.4881559891186765e+08 2.4881042535607314e+08 2.4879996796980062e+08 2.4878372746793443e+08 2.4876043971699613e+08 2.4872891410148427e+08 2.4868795879881373e+08 2.4863606774376056e+08 2.4857144907530361e+08 2.4849205532278001e+08 2.4839549595601737e+08 2.4827892680787224e+08 2.4813899840877092e+08 2.4797166201035649e+08 2.4777109384509757e+08 2.4752723368083799e+08 2.4723032428167796e+08 2.4687560156379488e+08 2.4645619965569162e+08 2.4596187520574960e+08 2.4538029751605356e+08 2.4469718256852213e+08 2.4389612433570480e+08 2.4295836472226253e+08 2.4186257449493048e+08 2.4058467109770611e+08 2.3909771257780570e+08 2.3737186462648582e+08 2.3537456453216335e+08 2.3307090678232151e+08 2.3042440365856245e+08 2.2739814930529335e+08 2.2368274226101437e+08 2.1944894288013917e+08 2.1466747854719272e+08 2.0932439896703714e+08 2.0342723450474194e+08 1.9701083904407701e+08 1.9014161791242176e+08 1.8291857300566515e+08 1.7546997379537225e+08 1.6794390537081629e+08 1.6049504327974442e+08 1.5327338638787708e+08 1.4641112662117910e+08 1.4000242849022409e+08 1.3410595416359009e+08 1.2874917949143530e+08 1.2392932489876062e+08 1.1962435264358525e+08 1.1579835873531935e+08 1.1241342230436358e+08 1.0942614183902311e+08 1.0679974611572491e+08 1.0449528693013966e+08 1.0248438108839944e+08 1.0073608347063972e+08 9.9223888111314937e+07 9.7927277588055447e+07 9.6823397194934368e+07 9.5890083299354017e+07 9.5111413796744540e+07 9.4466783596465737e+07 9.3941959060066000e+07 9.3520050288242877e+07 9.3186939428948343e+07 9.2923024138597101e+07 9.2708985021655381e+07 9.2530979538410261e+07 9.2375543500485361e+07 9.2228950890680611e+07 9.2125241079342484e+07 9.2020531273695275e+07 9.1913694050921977e+07 9.1801793950947344e+07 9.1686357888672993e+07 9.1564021061823249e+07 9.1439130499331653e+07 9.1300206744369090e+07 9.1151529173155606e+07 9.0990362050147742e+07 9.0814569110670716e+07 9.0621554427208796e+07 9.0408393632916376e+07 9.0170839321298257e+07 8.9909634663231730e+07 8.9614540109987751e+07 8.9283688376954064e+07 8.8912278922314525e+07 8.8495145586620599e+07 8.8026960740093738e+07 8.7502380535567477e+07 8.6915450742231265e+07 8.6267223865329295e+07 8.5545997082495838e+07 8.4754401786387265e+07 8.3894269105110273e+07 8.2972345526069731e+07 8.2000109752950102e+07 8.0999410249872327e+07 8.0002718334157333e+07 7.9063520353968740e+07 7.8248431488478169e+07 7.7662454161357075e+07 7.7451616177488819e+07 7.7828285833337873e+07 7.9101360797364801e+07 8.1738947252381980e+07 8.6482040788059741e+07 9.4579670279637635e+07 2.0464706875684109e+07 +9.2615871957319644e+00 2.4856408320887092e+08 2.4853961928728485e+08 2.4849824781510648e+08 2.4844369800805098e+08 2.4838837628297669e+08 2.4835187709483477e+08 2.4834303885190296e+08 2.4834694831198493e+08 2.4834813944842938e+08 2.4834293327782342e+08 2.4833244399268267e+08 2.4831617172365540e+08 2.4829285282414183e+08 2.4826129672742629e+08 2.4822031130444181e+08 2.4816839037772688e+08 2.4810374188712686e+08 2.4802431795889395e+08 2.4792772755266216e+08 2.4781112600988191e+08 2.4767116335216466e+08 2.4750379045720464e+08 2.4730318407636651e+08 2.4705928509482545e+08 2.4676233215802181e+08 2.4640755815345430e+08 2.4598810032708591e+08 2.4549371790081090e+08 2.4491208229740420e+08 2.4422891259747231e+08 2.4342780750083989e+08 2.4249001592952448e+08 2.4139421878872681e+08 2.4011634782663810e+08 2.3862948085546142e+08 2.3690381043980920e+08 2.3490680972709468e+08 2.3260362021279851e+08 2.2995781452993205e+08 2.2693256266789040e+08 2.2321867910359621e+08 2.1898700000920132e+08 2.1420841023104155e+08 2.0886912979671898e+08 2.0297685884211922e+08 1.9656660055960080e+08 1.8970486400635013e+08 1.8249068270649770e+08 1.7505226347489738e+08 1.6753752675984344e+08 1.6010089035951981e+08 1.5289201713950509e+08 1.4604272204988149e+08 1.3964682368418732e+08 1.3376268708840761e+08 1.2841755566958444e+08 1.2360850231059189e+08 1.1931341166607077e+08 1.1549636439250843e+08 1.1211945446886718e+08 1.0913933281593332e+08 1.0651927988251440e+08 1.0422041899930048e+08 1.0221441873583259e+08 1.0047040010099579e+08 9.8961915819032654e+07 9.7668493691589788e+07 9.6567333661445707e+07 9.5636325741536632e+07 9.4859585487911418e+07 9.4216559413006425e+07 9.3693047214030936e+07 9.3272200343273476e+07 9.2939934249434888e+07 9.2676694375809297e+07 9.2463209151795402e+07 9.2285668599953219e+07 9.2130641245658785e+07 9.1984435983154744e+07 9.1881000832257137e+07 9.1776568536088020e+07 9.1670014547522694e+07 9.1558411135962769e+07 9.1443281146872282e+07 9.1321268841675892e+07 9.1196708974256530e+07 9.1058153566119373e+07 9.0909870200431079e+07 9.0749130394437701e+07 9.0573803547132507e+07 9.0381300613206044e+07 9.0168704978674769e+07 8.9931780645937398e+07 8.9671268079625443e+07 8.9376955906207830e+07 8.9046981350912988e+07 8.8676556598964423e+07 8.8260529187302589e+07 8.7793585610667333e+07 8.7270396189447463e+07 8.6685022621537149e+07 8.6038513913620785e+07 8.5319199259943947e+07 8.4529702652161762e+07 8.3671850364030331e+07 8.2752370996781394e+07 8.1782712822120517e+07 8.0784666380112499e+07 7.9790617032284558e+07 7.8853908674522400e+07 7.8040980786669746e+07 7.7456557021411970e+07 7.7246278165352270e+07 7.7621949235051155e+07 7.8891649016990036e+07 8.1522242726930603e+07 8.6252761638437524e+07 9.4328922331235364e+07 2.0396080589221429e+07 +9.2665555185062232e+00 2.4809671817490107e+08 2.4807229772130314e+08 2.4803100171949130e+08 2.4797654793774498e+08 2.4792131980075210e+08 2.4788487238648698e+08 2.4787602774413046e+08 2.4787990129211223e+08 2.4788105551485354e+08 2.4787581689133957e+08 2.4786529589899877e+08 2.4784899208945364e+08 2.4782564230770048e+08 2.4779405604430574e+08 2.4775304087068626e+08 2.4770109050752187e+08 2.4763641270807797e+08 2.4755695920846009e+08 2.4746033847569773e+08 2.4734370537935284e+08 2.4720370945424482e+08 2.4703630123194388e+08 2.4683565801601288e+08 2.4659172186735845e+08 2.4629472739110038e+08 2.4593990448937818e+08 2.4552039355810770e+08 2.4502595645000488e+08 2.4444426678107437e+08 2.4376104681375694e+08 2.4295990006855303e+08 2.4202208258695188e+08 2.4092628552169719e+08 2.3964845504241571e+08 2.3816168884672371e+08 2.3643620649123371e+08 2.3443951709345376e+08 2.3213680924935916e+08 2.2949171600522983e+08 2.2646748320889765e+08 2.2275514262709993e+08 2.1852560489247251e+08 2.1374991197167182e+08 2.0841445369298732e+08 2.0252709924651867e+08 1.9612300024027094e+08 1.8926876844564655e+08 1.8206346797585106e+08 1.7463524205746061e+08 1.6713184581349942e+08 1.5970743896434730e+08 1.5251134848729280e+08 1.4567501288648134e+08 1.3929190561709547e+08 1.3342009553703046e+08 1.2808659456922060e+08 1.2328832889479233e+08 1.1900310624400128e+08 1.1519499240256225e+08 1.1182609653777444e+08 1.0885312217519394e+08 1.0623940154365131e+08 1.0394612951162826e+08 1.0194502642022786e+08 1.0020527934830348e+08 9.8700499645536780e+07 9.7410260289565608e+07 9.6311815787011161e+07 9.5383109709319398e+07 9.4608295216035113e+07 9.3966870328552872e+07 9.3444668030460894e+07 9.3024881053806335e+07 9.2693458096970931e+07 9.2430892307618469e+07 9.2217959853826627e+07 9.2040883270271435e+07 9.1886263740046620e+07 9.1740445001011685e+07 9.1637283923377067e+07 9.1533128542581975e+07 9.1426857181226373e+07 9.1315549822348461e+07 9.1200725250475258e+07 9.1079036770666197e+07 9.0954806891607344e+07 9.0816619040908992e+07 9.0668729035828963e+07 9.0508415631096646e+07 9.0333553877137050e+07 9.0141561595973313e+07 8.9929529910063595e+07 8.9693234205612242e+07 8.9433412249961138e+07 8.9139880779787555e+07 8.8810781522517666e+07 8.8441339363166109e+07 8.8026415505729914e+07 8.7560710539143667e+07 8.7038908920966476e+07 8.6455088243115723e+07 8.5810294024532586e+07 8.5092887402668834e+07 8.4305484986242279e+07 8.3449908204866245e+07 8.2532867811963379e+07 8.1565781712570712e+07 8.0570382646750301e+07 7.9578970203699231e+07 7.8644746135426819e+07 7.7833974594730154e+07 7.7251101062376365e+07 7.7041380135282606e+07 7.7416054758374006e+07 7.8682386590446070e+07 8.1306002539024383e+07 8.6023973769546032e+07 9.4078711667661339e+07 2.0327666932401601e+07 +9.2715238412804819e+00 2.4762972796075699e+08 2.4760535223208061e+08 2.4756413239821607e+08 2.4750977512942609e+08 2.4745464035838157e+08 2.4741824474194813e+08 2.4740939379387230e+08 2.4741323155025116e+08 2.4741434899924996e+08 2.4740907808438179e+08 2.4739852557612291e+08 2.4738219045280305e+08 2.4735881005403960e+08 2.4732719393693200e+08 2.4728614938178501e+08 2.4723417001664308e+08 2.4716946341939390e+08 2.4708998095144632e+08 2.4699333060261700e+08 2.4687666679072487e+08 2.4673663858699358e+08 2.4656919620249963e+08 2.4636851752755710e+08 2.4612454585682660e+08 2.4582751183270210e+08 2.4547264241525790e+08 2.4505308118364915e+08 2.4455859267693830e+08 2.4397685277790487e+08 2.4329358701358244e+08 2.4249240381724888e+08 2.4155456645131132e+08 2.4045877642621669e+08 2.3918099444912091e+08 2.3769433822225282e+08 2.3596905441242912e+08 2.3397268821715680e+08 2.3167047542516375e+08 2.2902610955674291e+08 2.2600291233069938e+08 2.2229213414765921e+08 2.1806475874693999e+08 2.1329198487409243e+08 2.0796037163589537e+08 2.0207795656095639e+08 1.9568003878158662e+08 1.8883333177124575e+08 1.8163692919677752e+08 1.7421890977058721e+08 1.6672686261101809e+08 1.5931468903725281e+08 1.5213138025453761e+08 1.4530799885229915e+08 1.3893767392771775e+08 1.3307817908349085e+08 1.2775629571470048e+08 1.2296880413976946e+08 1.1869343583968897e+08 1.1489424220985475e+08 1.1153334794254531e+08 1.0856750934020168e+08 1.0596011051667272e+08 1.0367241788113144e+08 1.0167620355330910e+08 9.9940720622949153e+07 9.8439639000574008e+07 9.7152576791295797e+07 9.6056842981036410e+07 9.5130434612081364e+07 9.4357542390999004e+07 9.3717715753748789e+07 9.3196820920425057e+07 9.2778091831877843e+07 9.2447510384421468e+07 9.2185617347705603e+07 9.1973236542349055e+07 9.1796622964945987e+07 9.1642410399948314e+07 9.1496977361389935e+07 9.1394089770560071e+07 9.1290210711572275e+07 9.1184221371339366e+07 9.1073209429958597e+07 9.0958689620052606e+07 9.0837324270257458e+07 9.0713423673716918e+07 9.0575602591782331e+07 9.0428105103512630e+07 9.0268217185310319e+07 9.0093819526845485e+07 8.9902336803035036e+07 8.9690867855972469e+07 8.9455199430533007e+07 8.9196066606074125e+07 8.8903314164480254e+07 8.8575088327600092e+07 8.8206626653067157e+07 8.7792803982715786e+07 8.7328334969291285e+07 8.6807918177362397e+07 8.6225647057875499e+07 8.5582563652872294e+07 8.4867060970160410e+07 8.4081748253012568e+07 8.3228442097413659e+07 8.2313835447380885e+07 8.1349315906129390e+07 8.0356558537845254e+07 7.9367777342942849e+07 7.8436032237174109e+07 7.7627412418249130e+07 7.7046085793476745e+07 7.6836921597920179e+07 7.7210601911555767e+07 7.8473573017912060e+07 8.1090226172100604e+07 8.5795676634900331e+07 9.3829037691275328e+07 2.0259465328131832e+07 +9.2764921640547406e+00 2.4716311738315859e+08 2.4713878752571642e+08 2.4709764161804888e+08 2.4704338138615084e+08 2.4698833984127173e+08 2.4695199604043159e+08 2.4694313888044518e+08 2.4694694096363693e+08 2.4694802177833059e+08 2.4694271873378748e+08 2.4693213490033853e+08 2.4691576868857408e+08 2.4689235793789211e+08 2.4686071227964500e+08 2.4681963871067554e+08 2.4676763077627724e+08 2.4670289589147210e+08 2.4662338505586594e+08 2.4652670579943436e+08 2.4641001210777012e+08 2.4626995261042053e+08 2.4610247722525164e+08 2.4590176446329552e+08 2.4565775891012064e+08 2.4536068732276082e+08 2.4500577376398686e+08 2.4458616502695498e+08 2.4409162839414719e+08 2.4350984208727154e+08 2.4282653498099539e+08 2.4202532051325345e+08 2.4108746926856008e+08 2.3999169322385681e+08 2.3871396773919451e+08 2.3722743064090732e+08 2.3550235582345313e+08 2.3350632467328870e+08 2.3120462026254678e+08 2.2856099664595214e+08 2.2553885142476633e+08 2.2182965497045216e+08 2.1760446277874681e+08 2.1283463003321066e+08 2.0750688459526816e+08 2.0162943161845839e+08 1.9523771686953738e+08 1.8839855451501355e+08 1.8121106674397674e+08 1.7380326683409512e+08 1.6632257722427344e+08 1.5892264051473537e+08 1.5175211225818461e+08 1.4494167966359574e+08 1.3858412824989718e+08 1.3273693729695666e+08 1.2742665862670761e+08 1.2264992753001955e+08 1.1838439991211246e+08 1.1459411325531650e+08 1.1124120811218069e+08 1.0828249373143588e+08 1.0568140621678141e+08 1.0339928351944703e+08 1.0140794954450613e+08 9.9676723332989886e+07 9.8179333291442528e+07 9.6895442603875726e+07 9.5802414650570959e+07 9.4878299857282311e+07 9.4107326420607314e+07 9.3469095096875340e+07 9.2949505293232784e+07 9.2531832087410823e+07 9.2202090522544652e+07 9.1940868907839805e+07 9.1729038630091771e+07 9.1552887097297087e+07 9.1399080639713898e+07 9.1254032479550183e+07 9.1151417789623708e+07 9.1047814459669799e+07 9.0942106535027117e+07 9.0831389376789689e+07 9.0717173674348429e+07 9.0596130759840131e+07 9.0472558740653098e+07 9.0335103639934584e+07 9.0187997825439557e+07 9.0028534479991496e+07 8.9854599920486748e+07 8.9663625659676924e+07 8.9452718243041620e+07 8.9217675749044031e+07 8.8959230577927545e+07 8.8667255491998985e+07 8.8339901200045630e+07 8.7972417904979780e+07 8.7559694057110012e+07 8.7096458343015090e+07 8.6577423403659165e+07 8.5996698514703512e+07 8.5355322251730636e+07 8.4641719419957027e+07 8.3858491915083736e+07 8.3007451509756446e+07 8.2095273376837268e+07 8.1133314882871509e+07 8.0143193539924622e+07 7.9157037942673489e+07 7.8227766478333384e+07 7.7421293760987550e+07 7.6841510722229466e+07 7.6632902062151492e+07 7.7005590201104879e+07 7.8265207797864333e+07 8.0874913107929498e+07 8.5567869686117709e+07 9.3579899802408472e+07 2.0191475200493220e+07 +9.2814604868289994e+00 2.4669688794718784e+08 2.4667260298814800e+08 2.4663153132590452e+08 2.4657736848350641e+08 2.4652242012760696e+08 2.4648612815119967e+08 2.4647726487128407e+08 2.4648103139826766e+08 2.4648207571775964e+08 2.4647674070418409e+08 2.4646612573608962e+08 2.4644972866109997e+08 2.4642628782278705e+08 2.4639461293468565e+08 2.4635351071893603e+08 2.4630147464694300e+08 2.4623671198295730e+08 2.4615717337902045e+08 2.4606046592108527e+08 2.4594374318219924e+08 2.4580365337369987e+08 2.4563614614586425e+08 2.4543540066397387e+08 2.4519136286247474e+08 2.4489425569081062e+08 2.4453930035627910e+08 2.4411964689975315e+08 2.4362506540260530e+08 2.4304323649770081e+08 2.4235989248927107e+08 2.4155865191226545e+08 2.4062079277320230e+08 2.3952503762455523e+08 2.3824737659446108e+08 2.3676096775115836e+08 2.3503611233351174e+08 2.3304042802540505e+08 2.3073924527289522e+08 2.2809637872326753e+08 2.2507530187172419e+08 2.2136770638972974e+08 2.1714471818410072e+08 2.1237784853285241e+08 2.0705399353088140e+08 2.0118152524217933e+08 1.9479603518092418e+08 1.8796443719980085e+08 1.8078588098393789e+08 1.7338831345945588e+08 1.6591898971755391e+08 1.5853129332652619e+08 1.5137354430915207e+08 1.4457605503063083e+08 1.3823126821226606e+08 1.3239636974235217e+08 1.2709768282156210e+08 1.2233169854664144e+08 1.1807599791679886e+08 1.1429460497679219e+08 1.1094967647237043e+08 1.0799807476641722e+08 1.0540328805616739e+08 1.0312672583540848e+08 1.0114026380050841e+08 9.9413286884068593e+07 9.7919581923311964e+07 9.6638857132096902e+07 9.5548530200619161e+07 9.4626704850212678e+07 9.3857646710644275e+07 9.3221007764295921e+07 9.2702720555809841e+07 9.2286101228370383e+07 9.1957197920157403e+07 9.1696646397517413e+07 9.1485365527460888e+07 9.1309675078930676e+07 9.1156273871705830e+07 9.1011609768697545e+07 9.0909267394583032e+07 9.0805939201334164e+07 9.0700512087559387e+07 9.0590089078773692e+07 9.0476176830008507e+07 9.0355455656977326e+07 9.0232211510742202e+07 9.0095121604414672e+07 8.9948406621698946e+07 8.9789366936306819e+07 8.9615894480142653e+07 8.9425427589498237e+07 8.9215080496185869e+07 8.8980662587359831e+07 8.8722903593413472e+07 8.8431704192240939e+07 8.8105219571825311e+07 8.7738712553214565e+07 8.7327085165893242e+07 8.6865080100185707e+07 8.6347424043331847e+07 8.5768242060608864e+07 8.5128569272248894e+07 8.4416862207818091e+07 8.3635715433208689e+07 8.2786935908201441e+07 8.1877181072484434e+07 8.0917778121067673e+07 7.9930287137558624e+07 7.8946751494075552e+07 7.8019948355961978e+07 7.7215618125196397e+07 7.6637375354575515e+07 7.6429321035177350e+07 7.6801019131851241e+07 7.8057290427041724e+07 8.0660062826509699e+07 8.5340552373018876e+07 9.3331297399201602e+07 2.0123695974740479e+07 +9.2864288096032581e+00 2.4623104193695542e+08 2.4620680102772403e+08 2.4616580366377759e+08 2.4611173826330224e+08 2.4605688308306721e+08 2.4602064293370828e+08 2.4601177362233603e+08 2.4601550470844433e+08 2.4601651267152318e+08 2.4601114584942156e+08 2.4600049993679076e+08 2.4598407222348806e+08 2.4596060156069988e+08 2.4592889775372398e+08 2.4588776725680974e+08 2.4583570347755241e+08 2.4577091354124191e+08 2.4569134776591954e+08 2.4559461281092578e+08 2.4547786185525671e+08 2.4533774271446210e+08 2.4517020479787296e+08 2.4496942795913067e+08 2.4472535953846592e+08 2.4442821875419897e+08 2.4407322400228736e+08 2.4365352860272267e+08 2.4315890549214098e+08 2.4257703778588167e+08 2.4189366130038244e+08 2.4109239975827098e+08 2.4015453868831605e+08 2.3905881132743084e+08 2.3778122268512651e+08 2.3629495118972799e+08 2.3457032554045585e+08 2.3257499982634348e+08 2.3027435195601994e+08 2.2763225722783908e+08 2.2461226504092464e+08 2.2090628968919742e+08 2.1668552614753249e+08 2.1192164144718009e+08 2.0660169939253062e+08 2.0073423824573553e+08 1.9435499438263685e+08 1.8753098033966431e+08 1.8036137227424392e+08 1.7297404985044536e+08 1.6551610014847761e+08 1.5814064739567015e+08 1.5099567621256277e+08 1.4421112465862200e+08 1.3787909343889129e+08 1.3205647598000361e+08 1.2676936781161581e+08 1.2201411666674629e+08 1.1776822930589348e+08 1.1399571680906692e+08 1.1065875244593482e+08 1.0771425186027001e+08 1.0512575544478653e+08 1.0285474423561607e+08 1.0087314572602019e+08 9.9150410679571778e+07 9.7660384298834726e+07 9.6382819778726965e+07 9.5295189033896774e+07 9.4375648993913814e+07 9.3608502664674506e+07 9.2973453160326809e+07 9.2456466113303676e+07 9.2040898660623357e+07 9.1712831984014481e+07 9.1452949224508345e+07 9.1242216643100843e+07 9.1066986319283679e+07 9.0913989506279618e+07 9.0769708640082181e+07 9.0667637997275993e+07 9.0564584349292800e+07 9.0459437442218021e+07 9.0349307949884281e+07 9.0235698501742780e+07 9.0115298377151787e+07 8.9992381400291324e+07 8.9855655902371034e+07 8.9709330910474792e+07 8.9550713973432809e+07 8.9377702626345724e+07 8.9187742013889953e+07 8.8977954038201451e+07 8.8744159369944096e+07 8.8487085078689277e+07 8.8196659693192780e+07 8.7871042872995526e+07 8.7505510030177370e+07 8.7094976744279444e+07 8.6634199678916082e+07 8.6117919537614271e+07 8.5540277140858337e+07 8.4902304163709402e+07 8.4192488787693292e+07 8.3413418266417459e+07 8.2566894757073715e+07 8.1659558004661188e+07 8.0702705097330585e+07 7.9717838813784331e+07 7.8736917486228123e+07 7.7812577365359023e+07 7.7010385011359155e+07 7.6433679194783986e+07 7.6226178022666931e+07 7.6596888207039416e+07 7.7849820400536641e+07 8.0445674805977583e+07 8.5113724143571854e+07 9.3083229877980933e+07 2.0056127077301480e+07 +9.2913971323775169e+00 2.4576558019101763e+08 2.4574138405594832e+08 2.4570046120821398e+08 2.4564649261109352e+08 2.4559173055605701e+08 2.4555554223698023e+08 2.4554666697776297e+08 2.4555036273779055e+08 2.4555133448251477e+08 2.4554593601237559e+08 2.4553525934495470e+08 2.4551880121701807e+08 2.4549530099275205e+08 2.4546356857664102e+08 2.4542241016341144e+08 2.4537031910582033e+08 2.4530550240265754e+08 2.4522591005123964e+08 2.4512914830108288e+08 2.4501236995617211e+08 2.4487222245881617e+08 2.4470465500429475e+08 2.4450384816708657e+08 2.4425975075049543e+08 2.4396257831922898e+08 2.4360754650053036e+08 2.4318781192542580e+08 2.4269315044118530e+08 2.4211124771749431e+08 2.4142784316461739e+08 2.4062656578397968e+08 2.3968870872623014e+08 2.3859301601975104e+08 2.3731550767016885e+08 2.3582938258219942e+08 2.3410499703114831e+08 2.3211004161716688e+08 2.2980994180101627e+08 2.2716863358829698e+08 2.2414974229148000e+08 2.2044540614128333e+08 2.1622688784401587e+08 2.1146600983949992e+08 2.0615000311958152e+08 2.0028757143277112e+08 1.9391459513271022e+08 1.8709818443959045e+08 1.7993754096438205e+08 1.7256047620330101e+08 1.6511390856695142e+08 1.5775070263858402e+08 1.5061850776733032e+08 1.4384688824724609e+08 1.3752760354871711e+08 1.3171725556581913e+08 1.2644171310517654e+08 1.2169718136378935e+08 1.1746109352808210e+08 1.1369744818355185e+08 1.1036843545257744e+08 1.0743102442504555e+08 1.0484880778949817e+08 1.0258333812397480e+08 1.0060659472303812e+08 9.8888094120462060e+07 9.7401739818702668e+07 9.6127329944102079e+07 9.5042390551139101e+07 9.4125131689475015e+07 9.3359893684219271e+07 9.2726430687246382e+07 9.2210741368732274e+07 9.1796223788041800e+07 9.1468992118819341e+07 9.1209776794490978e+07 9.0999591383615658e+07 9.0824820225867778e+07 9.0672226951859370e+07 9.0528328503176913e+07 9.0426529007668927e+07 9.0323749314094380e+07 9.0218882010302708e+07 9.0109045402146906e+07 8.9995738102318957e+07 8.9875658333850101e+07 8.9753067823572069e+07 8.9616705949160963e+07 8.9470770107918277e+07 8.9312575008595929e+07 8.9140023777198046e+07 8.8950568352521285e+07 8.8741338290149644e+07 8.8508165519272685e+07 8.8251774457863092e+07 8.7962121420796275e+07 8.7637370531708539e+07 8.7272809766423598e+07 8.6863368225279763e+07 8.6403816515434921e+07 8.5888909326184660e+07 8.5312803198728904e+07 8.4676526373557881e+07 8.3968598611589402e+07 8.3191599871816739e+07 8.2347327519242689e+07 8.1442403641981810e+07 8.0488095286384106e+07 7.9505848049759790e+07 7.8527535406905517e+07 7.7605653000144050e+07 7.6805593918231577e+07 7.6230421745388299e+07 7.6023472528498337e+07 7.6393196928165510e+07 7.7642797211693540e+07 8.0231748522922978e+07 8.4887384443863437e+07 9.2835696632982224e+07 1.9988767935776901e+07 +9.2963654551517756e+00 2.4530050534092864e+08 2.4527635413879690e+08 2.4523550523505053e+08 2.4518163336902761e+08 2.4512696437747595e+08 2.4509082789856553e+08 2.4508194677038082e+08 2.4508560731774679e+08 2.4508654298218456e+08 2.4508111302392757e+08 2.4507040579113662e+08 2.4505391747208360e+08 2.4503038794848749e+08 2.4499862723220101e+08 2.4495744126613656e+08 2.4490532335830048e+08 2.4484048039203542e+08 2.4476086205829877e+08 2.4466407421219352e+08 2.4454726930332994e+08 2.4440709442236519e+08 2.4423949857633260e+08 2.4403866309473270e+08 2.4379453830069762e+08 2.4349733618114549e+08 2.4314226963857582e+08 2.4272249864581674e+08 2.4222780201682079e+08 2.4164586804682711e+08 2.4096243982140696e+08 2.4016115171085402e+08 2.3922330458780113e+08 2.3812765337812412e+08 2.3685023319754452e+08 2.3536426354326609e+08 2.3364012838109979e+08 2.3164555492896408e+08 2.2934601628583664e+08 2.2670550922208878e+08 2.2368773497123337e+08 2.1998505700880438e+08 2.1576880443762428e+08 2.1101095476278281e+08 2.0569890564158690e+08 1.9984152559735098e+08 1.9347483807961589e+08 1.8666604999548930e+08 1.7951438739528447e+08 1.7214759270612010e+08 1.6471241501578742e+08 1.5736145896512949e+08 1.5024203876626542e+08 1.4348334549066469e+08 1.3717679815588766e+08 1.3137870805141090e+08 1.2611471820665221e+08 1.2138089210763122e+08 1.1715459002876140e+08 1.1339979852878308e+08 1.1007872490943921e+08 1.0714839187001818e+08 1.0457244449481423e+08 1.0231250690192379e+08 1.0034061019113396e+08 9.8626336605527386e+07 9.7143647881254494e+07 9.5872387026638135e+07 9.4790134150830179e+07 9.3875152335897356e+07 9.3111819168976635e+07 9.2479939745287374e+07 9.1965545723121524e+07 9.1552076012550816e+07 9.1225677727511257e+07 9.0967128511185184e+07 9.0757489153749838e+07 9.0583176204338208e+07 9.0430985614963770e+07 9.0287468765209198e+07 9.0185939833845004e+07 9.0083433504466087e+07 8.9978845201128006e+07 8.9869300845689297e+07 8.9756295042690590e+07 8.9636534938833684e+07 8.9514270193097338e+07 8.9378271158049718e+07 8.9232723628313452e+07 8.9074949457090050e+07 8.8902857349308297e+07 8.8713906023000851e+07 8.8505232670887202e+07 8.8272680455969900e+07 8.8016971153207749e+07 8.7728088799370646e+07 8.7404201974274755e+07 8.7040611190605283e+07 8.6632259040421158e+07 8.6173930044070110e+07 8.5660392846765965e+07 8.5085819675754622e+07 8.4451235347539321e+07 8.3745191129877627e+07 8.2970259704819292e+07 8.2128233655455440e+07 8.1225717451192051e+07 8.0273948161402360e+07 7.9294314325043201e+07 7.8318604742000178e+07 7.7399174752220720e+07 7.6601244343119979e+07 7.6027602507360220e+07 7.5821204055038586e+07 7.6189944795119405e+07 7.7436220352217212e+07 8.0018283452022776e+07 8.4661532718212917e+07 9.2588697056467295e+07 1.9921617978939869e+07 +9.3013337779260343e+00 2.4483581781533375e+08 2.4481171127050912e+08 2.4477093696547657e+08 2.4471716232709539e+08 2.4466258636250621e+08 2.4462650174360028e+08 2.4461761482090133e+08 2.4462124026907033e+08 2.4462213999123082e+08 2.4461667870429623e+08 2.4460594109514037e+08 2.4458942280759993e+08 2.4456586424642363e+08 2.4453407553785908e+08 2.4449286238190725e+08 2.4444071805013892e+08 2.4437584932306096e+08 2.4429620559845078e+08 2.4419939235428649e+08 2.4408256170367053e+08 2.4394236040883663e+08 2.4377473731414703e+08 2.4357387453784883e+08 2.4332972397925216e+08 2.4303249412423444e+08 2.4267739519239736e+08 2.4225759053105134e+08 2.4176286197516292e+08 2.4118090051753339e+08 2.4049745299914658e+08 2.3969615924990436e+08 2.3875832796236596e+08 2.3766272506792343e+08 2.3638540090420979e+08 2.3489959567670545e+08 2.3317572115506852e+08 2.3118154128071773e+08 2.2888257687774491e+08 2.2624288553581125e+08 2.2322624441720328e+08 2.1952524354235420e+08 2.1531127708166069e+08 2.1055647726021928e+08 2.0524840787793931e+08 1.9939610152344424e+08 1.9303572386255777e+08 1.8623457749486098e+08 1.7909191189980245e+08 1.7173539953928298e+08 1.6431161953084248e+08 1.5697291627886170e+08 1.4986626899672312e+08 1.4312049607780144e+08 1.3682667686954421e+08 1.3104083298385116e+08 1.2578838261628906e+08 1.2106524836452807e+08 1.1684871824996743e+08 1.1310276727011889e+08 1.0978962023047763e+08 1.0686635360200088e+08 1.0429666496283266e+08 1.0204224996845789e+08 1.0007519152774662e+08 9.8365137531275466e+07 9.6886107882591918e+07 9.5617990422581151e+07 9.4538419229394138e+07 9.3625710330020189e+07 9.2864278516352072e+07 9.2233979732699469e+07 9.1720878575569168e+07 9.1308454734167740e+07 9.0982888210925728e+07 9.0725003776338696e+07 9.0515909356162712e+07 9.0342053658326402e+07 9.0190264900108382e+07 9.0047128831653133e+07 8.9945869881881863e+07 8.9843636327237219e+07 8.9739326422285467e+07 8.9630073688679218e+07 8.9517368731672615e+07 8.9397927601694643e+07 8.9275987919315532e+07 8.9140350940469339e+07 8.8995190884037465e+07 8.8837836732386515e+07 8.8666202757136032e+07 8.8477754441174477e+07 8.8269636597873315e+07 8.8037703598726436e+07 8.7782674585070685e+07 8.7494561251042426e+07 8.7171536625068560e+07 8.6808913729567945e+07 8.6401648619117066e+07 8.5944539697434396e+07 8.5432369535296127e+07 8.4859326011575744e+07 8.4226430529438451e+07 8.3522265791061744e+07 8.2749397219019264e+07 8.1909612624935910e+07 8.1009498897558257e+07 8.0060263193714365e+07 7.9083237117432058e+07 7.8110124975724742e+07 7.7193142111893192e+07 7.6397335781520024e+07 7.5825220980097368e+07 7.5619372102999449e+07 7.5987131306212589e+07 7.7230089312189505e+07 7.9805279066367507e+07 8.4436168409109905e+07 9.2342230538669497e+07 1.9854676636735480e+07 +9.3063021007002931e+00 2.4437152018618613e+08 2.4434745817262349e+08 2.4430675950342917e+08 2.4425308128322110e+08 2.4419859831369567e+08 2.4416256558496809e+08 2.4415367293869907e+08 2.4415726340132770e+08 2.4415812731845778e+08 2.4415263486268705e+08 2.4414186706535861e+08 2.4412531903186208e+08 2.4410173169378495e+08 2.4406991530013168e+08 2.4402867531587273e+08 2.4397650498522750e+08 2.4391161099838001e+08 2.4383194247273821e+08 2.4373510452562526e+08 2.4361824895304745e+08 2.4347802221079591e+08 2.4331037300696683e+08 2.4310948428112409e+08 2.4286530956546187e+08 2.4256805392066562e+08 2.4221292492685801e+08 2.4179308933672777e+08 2.4129833206151292e+08 2.4071634686140260e+08 2.4003288441469085e+08 2.3923159010014704e+08 2.3829378052879065e+08 2.3719823274359396e+08 2.3592101241567025e+08 2.3443538057433745e+08 2.3271177690684295e+08 2.3071800218115944e+08 2.2841962503288898e+08 2.2578076392524764e+08 2.2276527195563480e+08 2.1906596698369908e+08 2.1485430691931951e+08 2.1010257836413506e+08 2.0479851073819363e+08 1.9895129998604557e+08 1.9259725311138141e+08 1.8580376741596380e+08 1.7867011480222291e+08 1.7132389687559518e+08 1.6391152214056516e+08 1.5658507447652587e+08 1.4949119823971897e+08 1.4275833969216976e+08 1.3647723929434910e+08 1.3070362990599780e+08 1.2546270583064651e+08 1.2075024959715924e+08 1.1654347763041216e+08 1.1280635382967129e+08 1.0950112082694092e+08 1.0658490902479626e+08 1.0402146859272218e+08 1.0177256672026031e+08 9.9810338127707839e+07 9.8104496291764125e+07 9.6629119216665521e+07 9.5364139525816709e+07 9.4287245181242064e+07 9.3376805066817686e+07 9.2617271121917352e+07 9.1988550045748025e+07 9.1476739323219031e+07 9.1065359350855410e+07 9.0740622967923805e+07 9.0483401989910096e+07 9.0274851391646221e+07 9.0101451989543602e+07 8.9950064209940657e+07 8.9807308106078580e+07 8.9706318555992469e+07 8.9604357187140197e+07 8.9500325079307616e+07 8.9391363337458596e+07 8.9278958576330051e+07 8.9159835730421618e+07 8.9038220410978034e+07 8.8902944705946594e+07 8.8758171285604239e+07 8.8601236245985836e+07 8.8430059413433537e+07 8.8242113021108732e+07 8.8034549486202881e+07 8.7803234364389718e+07 8.7548884172023356e+07 8.7261538196334690e+07 8.6939373906698510e+07 8.6577716808309153e+07 8.6171536389039651e+07 8.5715644906163216e+07 8.5204838825845838e+07 8.4633321644088700e+07 8.4002111361449480e+07 8.3299822041862324e+07 8.2529011866341129e+07 8.1691463885161400e+07 8.0793747444408596e+07 7.9847039853060335e+07 7.8872615903107077e+07 7.7902095590787515e+07 7.6987554567894429e+07 7.6193867727390856e+07 7.5623276661255762e+07 7.5417976171446294e+07 7.5784755958050609e+07 7.7024403580096558e+07 7.9592734837347493e+07 8.4211290957229182e+07 9.2096296467872590e+07 1.9787943340280447e+07 +9.3112704234745518e+00 2.4390761692935878e+08 2.4388359901031902e+08 2.4384297446437579e+08 2.4378939203929642e+08 2.4373500202555180e+08 2.4369902122209400e+08 2.4369012292139423e+08 2.4369367851251855e+08 2.4369450676234704e+08 2.4368898329639947e+08 2.4367818549924448e+08 2.4366160794134527e+08 2.4363799208629608e+08 2.4360614831411320e+08 2.4356488186174697e+08 2.4351268595656517e+08 2.4344776720924398e+08 2.4336807447074187e+08 2.4327121251360798e+08 2.4315433283607391e+08 2.4301408160998502e+08 2.4284640743248954e+08 2.4264549409800702e+08 2.4240129682740280e+08 2.4210401733253941e+08 2.4174886059602168e+08 2.4132899680746311e+08 2.4083421400932038e+08 2.4025220879973453e+08 2.3956873577404651e+08 2.3876744594983280e+08 2.3782966395441487e+08 2.3673417804792625e+08 2.3545706934664813e+08 2.3397161981797957e+08 2.3224829717895833e+08 2.3025493912778941e+08 2.2795716219645473e+08 2.2531914577549496e+08 2.2230481890259343e+08 2.1860722856251684e+08 2.1439789508334714e+08 2.0964925909701088e+08 2.0434921512182206e+08 1.9850712174991497e+08 1.9215942644678828e+08 1.8537362022871730e+08 1.7824899641868404e+08 1.7091308487999162e+08 1.6351212286653772e+08 1.5619793344840655e+08 1.4911682627043173e+08 1.4239687601199976e+08 1.3612848502980649e+08 1.3036709835622337e+08 1.2513768734201385e+08 1.2043589526437061e+08 1.1623886760550866e+08 1.1251055762666878e+08 1.0921322610715635e+08 1.0630405753973676e+08 1.0374685478139463e+08 1.0150345655132186e+08 9.9546049383824006e+07 9.7844412279021531e+07 9.6372681275226846e+07 9.5110833728293926e+07 9.4036611398689121e+07 9.3128435939147070e+07 9.2370796379197329e+07 9.1743650078835741e+07 9.1233127361234650e+07 9.0822789258712307e+07 9.0498881395677462e+07 9.0242322549803481e+07 9.0034314659191221e+07 8.9861370597892597e+07 8.9710382945169955e+07 8.9568005990196243e+07 8.9467285258515239e+07 8.9365595487344250e+07 8.9261840575833842e+07 8.9153169196450219e+07 8.9041063981921747e+07 8.8922258730923295e+07 8.8800967074715823e+07 8.8666051862123743e+07 8.8521664241714790e+07 8.8365147407553002e+07 8.8194426729027107e+07 8.8006981174651057e+07 8.7799970749419421e+07 8.7569272167965740e+07 8.7315599330681086e+07 8.7029019053826496e+07 8.6707713239923820e+07 8.6347019849936828e+07 8.5941921776143372e+07 8.5487245099146262e+07 8.4977800150718853e+07 8.4407806009602129e+07 8.3778277283771440e+07 8.3077859327353880e+07 8.2309103096922338e+07 8.1473786891834900e+07 8.0578462553378165e+07 7.9634277607368246e+07 7.8662450156576961e+07 7.7694516068061918e+07 7.6782411607216939e+07 7.5990839673110664e+07 7.5421769047065660e+07 7.5217015757873446e+07 7.5582818245748758e+07 7.6819162642647281e+07 7.9380650234705523e+07 8.3986899801527277e+07 9.1850894230603784e+07 1.9721417521862630e+07 +9.3162387462488105e+00 2.4344410586226815e+08 2.4342013240619516e+08 2.4337958311254391e+08 2.4332609633046597e+08 2.4327179928473383e+08 2.4323587044154358e+08 2.4322696655537319e+08 2.4323048738973966e+08 2.4323128010924625e+08 2.4322572579195136e+08 2.4321489818310106e+08 2.4319829132137677e+08 2.4317464720942751e+08 2.4314277636384365e+08 2.4310148380313447e+08 2.4304926274597406e+08 2.4298431973580956e+08 2.4290460337044719e+08 2.4280771809430948e+08 2.4269081512658697e+08 2.4255054037672079e+08 2.4238284235765964e+08 2.4218190575075117e+08 2.4193768752209446e+08 2.4164038611019599e+08 2.4128520394242656e+08 2.4086531467677581e+08 2.4037050954104510e+08 2.3978848804190436e+08 2.3910500877206841e+08 2.3830372847603121e+08 2.3736597989575475e+08 2.3627056261298379e+08 2.3499357330083138e+08 2.3350831497797680e+08 2.3178528350281221e+08 2.2979235360719177e+08 2.2749518980298913e+08 2.2485803246068048e+08 2.2184488656294641e+08 2.1814902949860093e+08 2.1394204269608277e+08 2.0919652047119027e+08 2.0390052191862273e+08 1.9806356757059309e+08 1.9172224448048016e+08 1.8494413639407167e+08 1.7782855705725074e+08 1.7050296370987168e+08 1.6311342172334138e+08 1.5581149307857546e+08 1.4874315285847014e+08 1.4203610471034026e+08 1.3578041367092338e+08 1.3003123786889507e+08 1.2481332663920367e+08 1.2012218482177402e+08 1.1593488760740466e+08 1.1221537807744583e+08 1.0892593547663654e+08 1.0602379854535563e+08 1.0347282292299178e+08 1.0123491885351509e+08 9.9282324686371207e+07 9.7584884882723853e+07 9.6116793448028356e+07 9.4858072419871703e+07 9.3786517271977305e+07 9.2880602337784991e+07 9.2124853679658815e+07 9.1499279224254310e+07 9.0990042082883373e+07 9.0580743852005839e+07 9.0257662889185250e+07 9.0001764852076516e+07 8.9794298555819452e+07 8.9621808881236449e+07 8.9471220504769817e+07 8.9329221883683920e+07 8.9228769389880002e+07 8.9127350628905356e+07 8.9023872313758940e+07 8.8915490668171346e+07 8.8803684351678833e+07 8.8685196007270634e+07 8.8564227315562069e+07 8.8429671814909875e+07 8.8285669159007192e+07 8.8129569624988988e+07 8.7959304112866789e+07 8.7772358312200502e+07 8.7565899799121350e+07 8.7335816422679767e+07 8.7082819476027697e+07 8.6797003240291893e+07 8.6476554043652028e+07 8.6116822275819331e+07 8.5712804204481527e+07 8.5259339703625023e+07 8.4751252940459490e+07 8.4182778542272449e+07 8.3554927735023677e+07 8.2856377090641081e+07 8.2089670359105259e+07 8.1256581098922595e+07 8.0363643684547737e+07 7.9421975923020527e+07 7.8452739350655034e+07 7.7487385886920288e+07 7.6577712715405867e+07 7.5788251109405994e+07 7.5220697631990775e+07 7.5016490358302340e+07 7.5381317662851617e+07 7.6614365985162675e+07 7.9169024726388514e+07 8.3762994379162759e+07 9.1606023211143404e+07 1.9655098614940576e+07 +9.3212070690230693e+00 2.4298099035211861e+08 2.4295706108079499e+08 2.4291658724831074e+08 2.4286319584156123e+08 2.4280899187003860e+08 2.4277311501742873e+08 2.4276420561601371e+08 2.4276769180871385e+08 2.4276844913545796e+08 2.4276286412519321e+08 2.4275200689181712e+08 2.4273537094692662e+08 2.4271169883667681e+08 2.4267980122218481e+08 2.4263848291169351e+08 2.4258623712415034e+08 2.4252127034728798e+08 2.4244153093935594e+08 2.4234462303289336e+08 2.4222769758667749e+08 2.4208740027025813e+08 2.4191967953778493e+08 2.4171872099050516e+08 2.4147448339549986e+08 2.4117716199307436e+08 2.4082195669784179e+08 2.4040204466720840e+08 2.3990722036858881e+08 2.3932518628707054e+08 2.3864170509228483e+08 2.3784043934499726e+08 2.3690272999819079e+08 2.3580738806016478e+08 2.3453052587089399e+08 2.3304546761371532e+08 2.3132273739944836e+08 2.2933024709505329e+08 2.2703370927614519e+08 2.2439742534423116e+08 2.2138547623108453e+08 2.1769137100147957e+08 2.1348675086931622e+08 2.0874436348875254e+08 2.0345243200821263e+08 1.9762063819382125e+08 1.9128570781466788e+08 1.8451531636410144e+08 1.7740879701772645e+08 1.7009353351505107e+08 1.6271541871826160e+08 1.5542575324448791e+08 1.4837017776740313e+08 1.4167602545486560e+08 1.3543302480784541e+08 1.2969604797384690e+08 1.2448962320674787e+08 1.1980911772141913e+08 1.1563153706499133e+08 1.1192081459497438e+08 1.0863924833794700e+08 1.0574413143775286e+08 1.0319937240948470e+08 1.0096695301611485e+08 9.9019163423446864e+07 9.7325913490483403e+07 9.5861455122460052e+07 9.4605854988370582e+07 9.3536962189302623e+07 9.2633303651603803e+07 9.1879442412995651e+07 9.1255436872481629e+07 9.0747482879476219e+07 9.0339222522929713e+07 9.0016966841786847e+07 8.9761728290980384e+07 8.9554802476671025e+07 8.9382766235848889e+07 8.9232576285626754e+07 8.9090955184556916e+07 8.8990770348669186e+07 8.8889622011111915e+07 8.8786419693072557e+07 8.8678327153350800e+07 8.8566819087107196e+07 8.8448646961788237e+07 8.8328000536551595e+07 8.8193803968216270e+07 8.8050185442583233e+07 8.7894502304239124e+07 8.7724690972139627e+07 8.7538243842092663e+07 8.7332336045155346e+07 8.7102866539827198e+07 8.6850544021074072e+07 8.6565490170752227e+07 8.6245895735081464e+07 8.5887123505537242e+07 8.5484183096305296e+07 8.5031928144828096e+07 8.4525196623880997e+07 8.3958238674777746e+07 8.3332062152090564e+07 8.2635374773485854e+07 8.1870713099666744e+07 8.1039845958813176e+07 8.0149290296219349e+07 7.9210134264761910e+07 7.8243482956611142e+07 7.7280704525137365e+07 7.6373457376218140e+07 7.5586101525431663e+07 7.5020061909147963e+07 7.4816399467090324e+07 7.5180253701266214e+07 7.6410013091169640e+07 7.8957857778832525e+07 8.3539574125637114e+07 9.1361682792159230e+07 1.9588986054143079e+07 +9.3261753917973280e+00 2.4251827267457470e+08 2.4249438691217890e+08 2.4245398840341598e+08 2.4240069232372135e+08 2.4234658155065522e+08 2.4231075671123472e+08 2.4230184186676392e+08 2.4230529353455928e+08 2.4230601560548964e+08 2.4230040006050041e+08 2.4228951338943443e+08 2.4227284858085275e+08 2.4224914873088878e+08 2.4221722465121436e+08 2.4217588094815564e+08 2.4212361085030681e+08 2.4205862080164230e+08 2.4197885893355450e+08 2.4188192908341107e+08 2.4176498196800947e+08 2.4162466303925011e+08 2.4145692071757054e+08 2.4125594155747277e+08 2.4101168618238807e+08 2.4071434670929313e+08 2.4035912058282018e+08 2.3993918848995119e+08 2.3944434819228125e+08 2.3886230522298321e+08 2.3817882640761742e+08 2.3737758021167743e+08 2.3643991589597300e+08 2.3534465599925837e+08 2.3406792863836643e+08 2.3258307927366951e+08 2.3086066037856749e+08 2.2886862105640212e+08 2.2657272202841994e+08 2.2393732577875242e+08 2.2092658919061017e+08 2.1723425426957390e+08 2.1303202070475599e+08 2.0829278914160889e+08 2.0300494626066270e+08 1.9717833435618126e+08 1.9084981704253745e+08 1.8408716058255631e+08 1.7698971659160504e+08 1.6968479443780568e+08 1.6231811385180256e+08 1.5504071381752554e+08 1.4799790075509152e+08 1.4131663790819004e+08 1.3508631802629435e+08 1.2936152819678669e+08 1.2416657652576777e+08 1.1949669341155764e+08 1.1532881540392137e+08 1.1162686658948456e+08 1.0835316409110580e+08 1.0546505561010274e+08 1.0292650262993209e+08 1.0069955842611615e+08 9.8756564980786800e+07 9.7067497487531409e+07 9.5606665683900937e+07 9.4354180819408089e+07 9.3287945536939189e+07 9.2386539267612115e+07 9.1634561966801614e+07 9.1012122412049234e+07 9.0505449140478432e+07 9.0098224661963642e+07 8.9776792644868836e+07 8.9522212258868486e+07 8.9315825815098584e+07 8.9144242055893198e+07 8.8994449683035627e+07 8.8853205288912043e+07 8.8753287531707153e+07 8.8652409031426519e+07 8.8549482111901402e+07 8.8441678050844029e+07 8.8330467587785736e+07 8.8212610994887173e+07 8.8092286138884619e+07 8.7958447724161267e+07 8.7815212495486900e+07 8.7659944849523187e+07 8.7490586712142199e+07 8.7304637170974255e+07 8.7099278895473003e+07 8.6870421928974420e+07 8.6618772377030298e+07 8.6334479258410320e+07 8.6015737729589805e+07 8.5657922956926569e+07 8.5256057872148186e+07 8.4805009846366212e+07 8.4299630627951264e+07 8.3734185838049516e+07 8.3109679970005691e+07 8.2414851815586478e+07 8.1652230763589665e+07 8.0823580922133192e+07 7.9935401845200822e+07 7.8998752095560789e+07 7.8034680444094285e+07 7.7074471458829090e+07 7.6169645071942970e+07 7.5384390408838704e+07 7.4819861369898513e+07 7.4616742577074900e+07 7.4979625851272985e+07 7.6206103442793354e+07 7.8747148856834993e+07 8.3316638474615559e+07 9.1117872354365543e+07 1.9523079275268722e+07 +9.3311437145715868e+00 2.4205595358728766e+08 2.4203211312578651e+08 2.4199178821519762e+08 2.4193858765723693e+08 2.4188457008503973e+08 2.4184879727316314e+08 2.4183987706059638e+08 2.4184329432048386e+08 2.4184398127298898e+08 2.4183833535100743e+08 2.4182741942904836e+08 2.4181072597605503e+08 2.4178699864358959e+08 2.4175504840171510e+08 2.4171367966233987e+08 2.4166138567338622e+08 2.4159637284576750e+08 2.4151658909841171e+08 2.4141963798850477e+08 2.4130267001085627e+08 2.4116233042055324e+08 2.4099456763052681e+08 2.4079356918064114e+08 2.4054929760640815e+08 2.4025194197642824e+08 2.3989669730673477e+08 2.3947674784558776e+08 2.3898189470180276e+08 2.3839984652594495e+08 2.3771637437981278e+08 2.3691515272027731e+08 2.3597753921231905e+08 2.3488236802941072e+08 2.3360578317407683e+08 2.3212115149541351e+08 2.3039905393900964e+08 2.2840747694520363e+08 2.2611222946236244e+08 2.2347773510666418e+08 2.2046822671453798e+08 2.1677768049124256e+08 2.1257785329381365e+08 2.0784179841182649e+08 2.0255806553604057e+08 1.9673665678447655e+08 1.9041457274825296e+08 1.8365966948461103e+08 1.7657131606254399e+08 1.6927674661274156e+08 1.6192150711765429e+08 1.5465637466230246e+08 1.4762632157369983e+08 1.4095794172769803e+08 1.3474029290689385e+08 1.2902767805917129e+08 1.2384418607310918e+08 1.1918491133735117e+08 1.1502672204681939e+08 1.1133353346830679e+08 1.0806768213331810e+08 1.0518657045326720e+08 1.0265421297141334e+08 1.0043273446815799e+08 9.8494528741965815e+07 9.6809636257075310e+07 9.5352424515657052e+07 9.4103049296633959e+07 9.3039466699046791e+07 9.2140308570598498e+07 9.1390211726860836e+07 9.0769335229602486e+07 9.0263940253467381e+07 8.9857749657708272e+07 8.9537139687934607e+07 8.9283216146214455e+07 8.9077367962551638e+07 8.8906235733789235e+07 8.8756840090263054e+07 8.8615971590961337e+07 8.8516320333955497e+07 8.8415711085440248e+07 8.8313058966485098e+07 8.8205542757699370e+07 8.8094629251550078e+07 8.7977087505221844e+07 8.7857083522026911e+07 8.7723602483196348e+07 8.7580749719032332e+07 8.7425896663217902e+07 8.7256990736428469e+07 8.7071537703645498e+07 8.6866727756361231e+07 8.6638481997941360e+07 8.6387503953411505e+07 8.6103969914661929e+07 8.5786079440677091e+07 8.5429220045945868e+07 8.5028427950807407e+07 8.4578584230162635e+07 8.4074554378022403e+07 8.3510619461180404e+07 8.2887780622172534e+07 8.2194807655097902e+07 8.1434222794263572e+07 8.0607785437830508e+07 7.9721977786349058e+07 7.8787828876869366e+07 7.7826331281025484e+07 7.6868686162561506e+07 7.5966275283349410e+07 7.5183117245706886e+07 7.4620095504276589e+07 7.4417519179555669e+07 7.4779433601810873e+07 7.6002636520453751e+07 7.8536897423569962e+07 8.3094186858117163e+07 9.0874591276486218e+07 1.9457377715285365e+07 +9.3361120373458455e+00 2.4159403531951407e+08 2.4157023891727102e+08 2.4152998843722948e+08 2.4147688377791947e+08 2.4142295921985725e+08 2.4138723844200042e+08 2.4137831293930587e+08 2.4138169590978763e+08 2.4138234788076562e+08 2.4137667173915938e+08 2.4136572675266984e+08 2.4134900487362263e+08 2.4132525031553599e+08 2.4129327421318769e+08 2.4125188079315129e+08 2.4119956333047900e+08 2.4113452821597394e+08 2.4105472316791624e+08 2.4095775148045185e+08 2.4084076344435081e+08 2.4070040414048430e+08 2.4053262199900287e+08 2.4033160557842025e+08 2.4008731938046777e+08 2.3978994950057420e+08 2.3943468856826732e+08 2.3901472442326316e+08 2.3851986157546952e+08 2.3793781186234877e+08 2.3725435065943342e+08 2.3645315850404596e+08 2.3551560155998716e+08 2.3442052573909199e+08 2.3314409103802517e+08 2.3165968580583921e+08 2.2993791956923607e+08 2.2794681620476204e+08 2.2565223296902081e+08 2.2301865465889812e+08 2.2001039006583181e+08 2.1632165084443447e+08 2.1212424971768168e+08 2.0739139227131060e+08 2.0211179068485045e+08 1.9629560619629702e+08 1.8997997550716212e+08 1.8323284349642402e+08 1.7615359570589250e+08 1.6886939016702932e+08 1.6152559850222850e+08 1.5427273563739833e+08 1.4725543996963948e+08 1.4059993656547084e+08 1.3439494902607504e+08 1.2869449707834288e+08 1.2352245132214315e+08 1.1887377094019049e+08 1.1472525641290575e+08 1.1104081463563408e+08 1.0778280185878731e+08 1.0490867535538854e+08 1.0238250281814924e+08 1.0016648052459109e+08 9.8233054088304341e+07 9.6552329180252641e+07 9.5098730998888195e+07 9.3852459801693410e+07 9.2791525057910129e+07 9.1894610943695948e+07 9.1146391076993957e+07 9.0527074709893465e+07 9.0022955604177043e+07 8.9617796896763176e+07 8.9298007358654544e+07 8.9044739341715187e+07 8.8839428308736384e+07 8.8668746660203055e+07 8.8519746898890674e+07 8.8379253483220309e+07 8.8279868148424044e+07 8.8179527567006320e+07 8.8077149651458487e+07 8.7969920669273496e+07 8.7859303474468663e+07 8.7742075889602721e+07 8.7622392083645508e+07 8.7489267643816531e+07 8.7346796512874350e+07 8.7192357145925999e+07 8.7023902446776405e+07 8.6838944843105450e+07 8.6634682032206491e+07 8.6407046152776346e+07 8.6156738157933533e+07 8.5873961549126714e+07 8.5556920280255526e+07 8.5201014186989784e+07 8.4801292749311894e+07 8.4352650716276035e+07 8.3849967297686011e+07 8.3287538971675426e+07 8.2666363540368170e+07 8.1975241728483781e+07 8.1216688633341625e+07 8.0392458953314722e+07 7.9509017573278159e+07 7.8577364068596512e+07 7.7618434933908537e+07 7.6663348109328300e+07 7.5763347489600733e+07 7.4982281520557284e+07 7.4420763800542951e+07 7.4218728764340818e+07 7.4579676440184906e+07 7.5799611803103775e+07 7.8327102940498203e+07 8.2872218706425011e+07 9.0631838935514644e+07 1.9391880812329654e+07 +9.3410803601201042e+00 2.4113251930048138e+08 2.4110876821367845e+08 2.4106859049727774e+08 2.4101558252475631e+08 2.4096175069127476e+08 2.4092608194590351e+08 2.4091715123407513e+08 2.4092050003369239e+08 2.4092111716045627e+08 2.4091541095635074e+08 2.4090443709106734e+08 2.4088768700383475e+08 2.4086390547660556e+08 2.4083190381495401e+08 2.4079048606815434e+08 2.4073814554828241e+08 2.4067308863679144e+08 2.4059326286502498e+08 2.4049627128002325e+08 2.4037926398690793e+08 2.4023888591396871e+08 2.4007108553489524e+08 2.3987005245756012e+08 2.3962575320611987e+08 2.3932837097714579e+08 2.3897309605494699e+08 2.3855311990119854e+08 2.3805825048082361e+08 2.3747620288649124e+08 2.3679275688647047e+08 2.3599159918467507e+08 2.3505410454034552e+08 2.3395913070507151e+08 2.3268285377870834e+08 2.3119868372070509e+08 2.2947725874644521e+08 2.2748664026781178e+08 2.2519273392899925e+08 2.2256008575665152e+08 2.1955308049651653e+08 2.1586616649644417e+08 2.1167121104705280e+08 2.0694157168179956e+08 2.0166612254766724e+08 1.9585518329960039e+08 1.8954602588528347e+08 1.8280668303604427e+08 1.7573655578932789e+08 1.6846272522041079e+08 1.6113038798551378e+08 1.5388979659519690e+08 1.4688525568377504e+08 1.4024262206866190e+08 1.3405028595529220e+08 1.2836198476743399e+08 1.2320137174255562e+08 1.1856327165832818e+08 1.1442441791839708e+08 1.1074870949281795e+08 1.0749852265942846e+08 1.0463136970206508e+08 1.0211137155210616e+08 9.9900795975312114e+07 9.7972140398855835e+07 9.6295575635783195e+07 9.4845584512753814e+07 9.3602411714287445e+07 9.2544119993886963e+07 9.1649445767918840e+07 9.0903099399174616e+07 9.0285340235742986e+07 8.9782494576490447e+07 8.9378365764100164e+07 8.9059395042952597e+07 8.8806781232206747e+07 8.8602006241472498e+07 8.8431774223956093e+07 8.8283169498640344e+07 8.8143050356323048e+07 8.8043930366545916e+07 8.7943857868142396e+07 8.7841753559553534e+07 8.7734811178971544e+07 8.7624489650767088e+07 8.7507575543145597e+07 8.7388211219621330e+07 8.7255442602860466e+07 8.7113352274617270e+07 8.6959325696489155e+07 8.6791321243250236e+07 8.6606857990709469e+07 8.6403141125704795e+07 8.6176113797624990e+07 8.5926474396612078e+07 8.5644453569747359e+07 8.5328259658396989e+07 8.4973304792548046e+07 8.4574651683025122e+07 8.4127208723196894e+07 8.3625868808775783e+07 8.3064943795247898e+07 8.2445428154608130e+07 8.1756153470617205e+07 8.0999627720867738e+07 8.0177600914257094e+07 7.9296520657663658e+07 7.8367357128889874e+07 7.7410990867466584e+07 7.6458456770592541e+07 7.5560861168309674e+07 7.4781882716363937e+07 7.4221865745723024e+07 7.4020370819739744e+07 7.4380353852185592e+07 7.5597028768101752e+07 7.8117764867664441e+07 8.2650733448198572e+07 9.0389614706491709e+07 1.9326588005706526e+07 +9.3460486828943630e+00 2.4067140760851747e+08 2.4064770002188790e+08 2.4060759669079569e+08 2.4055468555415720e+08 2.4050094622422838e+08 2.4046532950248462e+08 2.4045639366505820e+08 2.4045970841322556e+08 2.4046029083263108e+08 2.4045455472298220e+08 2.4044355216454241e+08 2.4042677408603701e+08 2.4040296584542468e+08 2.4037093892447591e+08 2.4032949720431158e+08 2.4027713404229251e+08 2.4021205582245338e+08 2.4013220990235025e+08 2.4003519909728736e+08 2.3991817334612218e+08 2.3977777744586590e+08 2.3960995993849021e+08 2.3940891151443949e+08 2.3916460077468926e+08 2.3886720809052983e+08 2.3851192144341812e+08 2.3809193594731864e+08 2.3759706307488704e+08 2.3701502124255684e+08 2.3633159468965682e+08 2.3553047637387604e+08 2.3459304974398732e+08 2.3349818449441430e+08 2.3222207293474725e+08 2.3073814674503279e+08 2.2901707293707517e+08 2.2702695055588073e+08 2.2473373371254116e+08 2.2210202970997939e+08 2.1909629924806422e+08 2.1541122860462570e+08 2.1121873834279665e+08 2.0649233759556553e+08 2.0122106195559144e+08 1.9541538879326999e+08 1.8911272443977851e+08 1.8238118851272207e+08 1.7532019657211599e+08 1.6805675188530794e+08 1.6073587554035434e+08 1.5350755738180435e+08 1.4651576845110103e+08 1.3988599787934741e+08 1.3370630326165617e+08 1.2803014063561654e+08 1.2288094679994319e+08 1.1825341292626455e+08 1.1412420597626878e+08 1.1045721743839486e+08 1.0721484392403531e+08 1.0435465287625444e+08 1.0184081855289616e+08 9.9635680198126063e+07 9.7711787050512895e+07 9.6039375000537828e+07 9.4592984434361771e+07 9.3352904411969081e+07 9.2297250885284856e+07 9.1404812422478646e+07 9.0660336073451251e+07 9.0044131188312247e+07 8.9542556552478760e+07 8.9139455642825171e+07 8.8821302125001445e+07 8.8569341202865258e+07 8.8365101146866485e+07 8.8195317812097028e+07 8.8047107277480736e+07 8.7907361599157453e+07 8.7808506377929240e+07 8.7708701379142657e+07 8.7606870081736445e+07 8.7500213678547546e+07 8.7390187172946095e+07 8.7273585859070331e+07 8.7154540323990554e+07 8.7022126755354419e+07 8.6880416400420561e+07 8.6726801712026864e+07 8.6559246523959130e+07 8.6375276545883060e+07 8.6172104437795117e+07 8.5945684335092619e+07 8.5696712073641419e+07 8.5415445382842124e+07 8.5100096983595818e+07 8.4746091273519799e+07 8.4348504165495425e+07 8.3902257667546451e+07 8.3402258331542864e+07 8.2842833356074646e+07 8.2224973893282786e+07 8.1537542314553708e+07 8.0783039495146632e+07 7.9963210764809161e+07 7.9084486489801168e+07 7.8157807514480114e+07 7.7203998545115948e+07 7.6254011616213739e+07 7.5358815795600444e+07 7.4581920314776763e+07 7.4023400825116128e+07 7.3822444832487792e+07 7.4181465322070628e+07 7.5394886891324311e+07 7.7908882663416505e+07 8.2429730510433644e+07 9.0147917962856486e+07 1.9261498735888675e+07 +9.3510170056686217e+00 2.4021070441873369e+08 2.4018703766668284e+08 2.4014700935510463e+08 2.4009419441394362e+08 2.4004054753221425e+08 2.4000498281955633e+08 2.3999604194180822e+08 2.3999932275806549e+08 2.3999987060738459e+08 2.3999410474848363e+08 2.3998307368196476e+08 2.3996626782892221e+08 2.3994243312985268e+08 2.3991038124891242e+08 2.3986891590749454e+08 2.3981653051724824e+08 2.3975143147608113e+08 2.3967156598066628e+08 2.3957453663128889e+08 2.3945749321807495e+08 2.3931708042905080e+08 2.3914924689930859e+08 2.3894818443429682e+08 2.3870386376571131e+08 2.3840646251411366e+08 2.3805116639957201e+08 2.3763117421780306e+08 2.3713630100273126e+08 2.3655426856332973e+08 2.3587086568719053e+08 2.3506979167191127e+08 2.3413243875089011e+08 2.3303768866248655e+08 2.3176175003336188e+08 2.3027807637329510e+08 2.2855736359706569e+08 2.2656774848027879e+08 2.2427523367879525e+08 2.2164448781850389e+08 2.1864004755173534e+08 2.1495683831577349e+08 2.1076683265556821e+08 2.0604369095461252e+08 2.0077660972998050e+08 1.9497622336653844e+08 1.8868007171899247e+08 1.8195636032747146e+08 1.7490451830587578e+08 1.6765147026637581e+08 1.6034206113305464e+08 1.5312601783702499e+08 1.4614697800129652e+08 1.3953006363451344e+08 1.3336300050766575e+08 1.2769896418776013e+08 1.2256117595645639e+08 1.1794419417542903e+08 1.1382461999655651e+08 1.1016633786780751e+08 1.0693176503895395e+08 1.0407852425862248e+08 1.0157084319773094e+08 9.9371132568473622e+07 9.7451993418124139e+07 9.5783726649171144e+07 9.4340930138758808e+07 9.3103937270440474e+07 9.2050917108517230e+07 9.1160710284674570e+07 9.0418100478077278e+07 8.9803446946811065e+07 8.9303140912290797e+07 8.8901065914135382e+07 8.8583727986977965e+07 8.8332418636913165e+07 8.8128712409244224e+07 8.7959376809782654e+07 8.7811559621633321e+07 8.7672186598943949e+07 8.7573595570321888e+07 8.7474057488527611e+07 8.7372498607146233e+07 8.7266127557895884e+07 8.7156395431650221e+07 8.7040106228919744e+07 8.6921378789241120e+07 8.6789319494461283e+07 8.6647988284517646e+07 8.6494784587842539e+07 8.6327677685533702e+07 8.6144199906581685e+07 8.5941571367728740e+07 8.5715757165984318e+07 8.5467450591581285e+07 8.5186936392819911e+07 8.4872431662440926e+07 8.4519373039040685e+07 8.4122849608717412e+07 8.3677796964442238e+07 8.3179135284466535e+07 8.2621207076532662e+07 8.2005000183101878e+07 8.1319407691930264e+07 8.0566923393132374e+07 7.9749287947439685e+07 7.8872914518309548e+07 7.7948714680416435e+07 7.6997457428582132e+07 7.6050012114566296e+07 7.5157210846037790e+07 7.4382393795664579e+07 7.3825368522694647e+07 7.3624950287992731e+07 7.3983010332752854e+07 7.5193185647184953e+07 7.7700455784643337e+07 8.2209209318402454e+07 8.9906748075986177e+07 1.9196612444516007e+07 +9.3559853284428804e+00 2.3975040677235654e+08 2.3972678427093911e+08 2.3968683013229018e+08 2.3963411068814179e+08 2.3958055631617483e+08 2.3954504359495100e+08 2.3953609776316044e+08 2.3953934476709679e+08 2.3953985818334180e+08 2.3953406273150769e+08 2.3952300334164661e+08 2.3950616992985466e+08 2.3948230902641705e+08 2.3945023248421016e+08 2.3940874387250850e+08 2.3935633666682073e+08 2.3929121728971165e+08 2.3921133279068857e+08 2.3911428557015377e+08 2.3899722528858986e+08 2.3885679654612982e+08 2.3868894809648490e+08 2.3848787289138451e+08 2.3824354384838408e+08 2.3794613591075543e+08 2.3759083257793123e+08 2.3717083635849729e+08 2.3667596589991143e+08 2.3609394647112641e+08 2.3541057148623386e+08 2.3460954666855183e+08 2.3367227312990525e+08 2.3257764475396067e+08 2.3130188659096786e+08 2.2981847408888867e+08 2.2809813217150339e+08 2.2610903544136158e+08 2.2381723517665723e+08 2.2118746137146997e+08 2.1818432662820983e+08 2.1450299676638293e+08 2.1031549502591196e+08 2.0559563269110379e+08 2.0033276668258590e+08 1.9453768769984555e+08 1.8824806826221964e+08 1.8153219887275970e+08 1.7448952123412207e+08 1.6724688046126691e+08 1.5994894472279629e+08 1.5274517779452038e+08 1.4577888405815625e+08 1.3917481896611345e+08 1.3302037725143652e+08 1.2736845492451102e+08 1.2224205867051378e+08 1.1763561483375907e+08 1.1352565938603142e+08 1.0987607017408051e+08 1.0664928538797864e+08 1.0380298322713037e+08 1.0130144486138502e+08 9.9107152459510967e+07 9.7192758874065503e+07 9.5528629954315498e+07 9.4089420999022514e+07 9.2855509663443372e+07 9.1805118038121954e+07 9.0917138729955509e+07 9.0176391989342839e+07 8.9563286888626426e+07 8.9064247034505978e+07 8.8663195957590863e+07 8.8346672009472251e+07 8.8096012915966734e+07 8.7892839411164656e+07 8.7723950600714043e+07 8.7576525915545374e+07 8.7437524740994796e+07 8.7339197329835594e+07 8.7239925583004639e+07 8.7138638523357645e+07 8.7032552205320746e+07 8.6923113815954104e+07 8.6807136042595536e+07 8.6688726005900294e+07 8.6557020211983502e+07 8.6416067319529846e+07 8.6263273717644468e+07 8.6096614122709677e+07 8.5913627468780532e+07 8.5711541313035876e+07 8.5486331689414084e+07 8.5238689351269558e+07 8.4958926002449617e+07 8.4645263099960372e+07 8.4293149496607736e+07 8.3897687422974855e+07 8.3453826027277783e+07 8.2956499084491864e+07 8.2400064377464294e+07 8.1785506449158639e+07 8.1101749032601058e+07 8.0351278849937603e+07 7.9535831903138325e+07 7.8661804190268278e+07 7.7740078080228701e+07 7.6791366978049502e+07 7.5846457732504740e+07 7.4956045792786032e+07 7.4183302637670904e+07 7.3627768320934147e+07 7.3427886670066401e+07 7.3784988365503922e+07 7.4991924508500546e+07 7.7492483686551988e+07 8.1989169295799449e+07 8.9666104415646821e+07 1.9131928574395131e+07 +9.3609536512171392e+00 2.3929051717568937e+08 2.3926694090238127e+08 2.3922706051576534e+08 2.3917443607123044e+08 2.3912097426311553e+08 2.3908551351679155e+08 2.3907656281744602e+08 2.3907977612874407e+08 2.3908025524886203e+08 2.3907443035970774e+08 2.3906334283074450e+08 2.3904648207558879e+08 2.3902259522167212e+08 2.3899049431540698e+08 2.3894898278372511e+08 2.3889655417375001e+08 2.3883141494493127e+08 2.3875151201188532e+08 2.3865444759127158e+08 2.3853737123237592e+08 2.3839692746866745e+08 2.3822906519757265e+08 2.3802797854917657e+08 2.3778364268083644e+08 2.3748622993187484e+08 2.3713092162249467e+08 2.3671092400413004e+08 2.3621605938991001e+08 2.3563405657726306e+08 2.3495071368306789e+08 2.3414974294240245e+08 2.3321255443915266e+08 2.3211805430291149e+08 2.3084248411350989e+08 2.2935934136472377e+08 2.2763938009503531e+08 2.2565081282915628e+08 2.2335973954441127e+08 2.2073095164759114e+08 2.1772913768796948e+08 2.1404970508279741e+08 2.0986472648411974e+08 2.0514816372724798e+08 1.9988953361546639e+08 1.9409978246392828e+08 1.8781671460001835e+08 1.8110870453266621e+08 1.7407520559254944e+08 1.6684298256025103e+08 1.5955652626227364e+08 1.5236503708184618e+08 1.4541148634016478e+08 1.3882026350095531e+08 1.3267843304626621e+08 1.2703861234300178e+08 1.2192359439689058e+08 1.1732767432584596e+08 1.1322732354853238e+08 1.0958641374696495e+08 1.0636740435187559e+08 1.0352802915739907e+08 1.0103262291627635e+08 9.8843739242244169e+07 9.6934082788935572e+07 9.5274084286449298e+07 9.3838456386164978e+07 9.2607620962675512e+07 9.1559853046698809e+07 9.0674097131888509e+07 8.9935209981962904e+07 8.9323650389352024e+07 8.8825874295702085e+07 8.8425845150910392e+07 8.8110133571281686e+07 8.7860123419740379e+07 8.7657481533355087e+07 8.7489038566558033e+07 8.7342005541910499e+07 8.7203375408982545e+07 8.7105311040811956e+07 8.7006305047605276e+07 8.6905289216092214e+07 8.6799487007319465e+07 8.6690341713160589e+07 8.6574674688178793e+07 8.6456581362947494e+07 8.6325228297591180e+07 8.6184652896204323e+07 8.6032268493268967e+07 8.5866055228717297e+07 8.5683558626943812e+07 8.5482013669476494e+07 8.5257407302787557e+07 8.5010427751812607e+07 8.4731413612862825e+07 8.4418590699508458e+07 8.4067420051987141e+07 8.3673017016757339e+07 8.3230344267795458e+07 8.2734349146812946e+07 8.2179404677944064e+07 8.1566492114948705e+07 8.0884565764854088e+07 8.0136105299188763e+07 7.9322842071170300e+07 7.8451154951128095e+07 7.7531897165970951e+07 7.6585726652238995e+07 7.5643347935480192e+07 7.4755320107470781e+07 7.3984646317806393e+07 7.3430599700723067e+07 7.3231253461106002e+07 7.3587398900234669e+07 7.4791102946609989e+07 7.7284965822935432e+07 8.1769609864690378e+07 8.9425986349699482e+07 1.9067446569498766e+07 +9.3659219739913979e+00 2.3883103890159383e+08 2.3880750791454688e+08 2.3876770183841217e+08 2.3871517231554514e+08 2.3866180304486808e+08 2.3862639426376027e+08 2.3861743878201708e+08 2.3862061851996318e+08 2.3862106348084426e+08 2.3861520930997440e+08 2.3860409382585517e+08 2.3858720594204095e+08 2.3856329339044133e+08 2.3853116841691500e+08 2.3848963431428066e+08 2.3843718471012950e+08 2.3837202611200011e+08 2.3829210531271911e+08 2.3819502436104521e+08 2.3807793271306601e+08 2.3793747485741395e+08 2.3776959985973495e+08 2.3756850306041977e+08 2.3732416191047668e+08 2.3702674621852082e+08 2.3667143516660008e+08 2.3625143877882496e+08 2.3575658308618575e+08 2.3517460048211718e+08 2.3449129386319998e+08 2.3369038206153655e+08 2.3275328422625473e+08 2.3165891883282155e+08 2.3038354409600863e+08 2.2890067966305247e+08 2.2718110879123437e+08 2.2519308202277848e+08 2.2290274810941088e+08 2.2027495991507599e+08 2.1727448193115175e+08 2.1359696438127092e+08 2.0941452805083737e+08 2.0470128497589752e+08 1.9944691132132629e+08 1.9366250832054597e+08 1.8738601125410324e+08 1.8068587768293020e+08 1.7366157160913631e+08 1.6643977664621282e+08 1.5916480569746831e+08 1.5198559552066374e+08 1.4504478456018391e+08 1.3846639686126384e+08 1.3233716744131377e+08 1.2670943593594278e+08 1.2160578258669530e+08 1.1702037207305163e+08 1.1292961188483615e+08 1.0929736797350568e+08 1.0608612130905530e+08 1.0325366142249647e+08 1.0076437673265710e+08 9.8580892285330474e+07 9.6675964530929133e+07 9.5020089014142111e+07 9.3588035669241503e+07 9.2360270538049310e+07 9.1315121505079865e+07 9.0431584862252653e+07 8.9694553828600824e+07 8.9084536822834909e+07 8.8588022070866108e+07 8.8189012870114148e+07 8.7874112049454331e+07 8.7624749526353166e+07 8.7422638155014306e+07 8.7254640087482154e+07 8.7107997881776378e+07 8.6969737984878376e+07 8.6871936085861892e+07 8.6773195265802369e+07 8.6672450069447532e+07 8.6566931348647386e+07 8.6458078508822292e+07 8.6342721552015722e+07 8.6224944247599140e+07 8.6093943139481306e+07 8.5953744403698459e+07 8.5801768305015922e+07 8.5636000394840151e+07 8.5453992773724318e+07 8.5252987831220254e+07 8.5028983401801914e+07 8.4782665190752462e+07 8.4504398623584434e+07 8.4192413862740204e+07 8.3842184109454110e+07 8.3448837797164753e+07 8.3007351095987678e+07 8.2512684885109112e+07 8.1959227395631239e+07 8.1347956602399617e+07 8.0667857315472648e+07 7.9921402172914028e+07 7.9110317889422789e+07 7.8240966244928390e+07 7.7324171388146430e+07 7.6380535908302188e+07 7.5440682187246606e+07 7.4555033260239229e+07 7.3786424311800271e+07 7.3233862141685545e+07 7.3035050142134041e+07 7.3390241415434867e+07 7.4590720431507722e+07 7.7077901646064579e+07 8.1550530445523590e+07 8.9186393244407699e+07 1.9003165874965180e+07 +9.3708902967656567e+00 2.3837197471910506e+08 2.3834848667876738e+08 2.3830875565475583e+08 2.3825632112309188e+08 2.3820304432021216e+08 2.3816768750451308e+08 2.3815872732385114e+08 2.3816187360737464e+08 2.3816228454589197e+08 2.3815640124819034e+08 2.3814525799265325e+08 2.3812834319405416e+08 2.3810440519749817e+08 2.3807225645239580e+08 2.3803070012656948e+08 2.3797822993726397e+08 2.3791305245070228e+08 2.3783311435109058e+08 2.3773601753508276e+08 2.3761891138385138e+08 2.3747844036221230e+08 2.3731055372925901e+08 2.3710944806687978e+08 2.3686510317367169e+08 2.3656768640065035e+08 2.3621237483269319e+08 2.3579238229578117e+08 2.3529753859132260e+08 2.3471557977544415e+08 2.3403231360174298e+08 2.3323146558331770e+08 2.3229446402767229e+08 2.3120023985616195e+08 2.2992506802276200e+08 2.2844249043511498e+08 2.2672331967333877e+08 2.2473584439116293e+08 2.2244626218934166e+08 2.1981948743187878e+08 2.1682036054738966e+08 2.1314477576772100e+08 2.0896490073640522e+08 2.0425499733953363e+08 1.9900490058344170e+08 1.9322586592213807e+08 1.8695595873733956e+08 1.8026371869107914e+08 1.7324861950384286e+08 1.6603726279493281e+08 1.5877378296787837e+08 1.5160685292632428e+08 1.4467877842566085e+08 1.3811321866405416e+08 1.3199657998118466e+08 1.2638092519213358e+08 1.2128862268734092e+08 1.1671370749337247e+08 1.1263252379267935e+08 1.0900893223820391e+08 1.0580543563552290e+08 1.0297987939319494e+08 1.0049670567827414e+08 9.8318610955290169e+07 9.6418403466361389e+07 9.4766643503813475e+07 9.3338158215504140e+07 9.2113457757595807e+07 9.1070922782138512e+07 9.0189601290943637e+07 8.9454422900293589e+07 8.8845945561151266e+07 8.8350689733071834e+07 8.7952698489450678e+07 8.7638606819349483e+07 8.7389890612209409e+07 8.7188308653499454e+07 8.7020754541773185e+07 8.6874502314465299e+07 8.6736611848974660e+07 8.6639071845982000e+07 8.6540595619094774e+07 8.6440120465694398e+07 8.6334884612445831e+07 8.6226323586805776e+07 8.6111276018901274e+07 8.5993814045450553e+07 8.5863164124169603e+07 8.5723341229609832e+07 8.5571772541391507e+07 8.5406449010930806e+07 8.5224929300202653e+07 8.5024463190748125e+07 8.4801059380629271e+07 8.4555401063890710e+07 8.4277880432327643e+07 8.3966731989731982e+07 8.3617441071438223e+07 8.3225149169483125e+07 8.2784845920502767e+07 8.2291505711263791e+07 8.1739531946392447e+07 8.1129899331784114e+07 8.0451623109565690e+07 7.9707168901475862e+07 7.8898258794045463e+07 7.8031237514038712e+07 7.7116900195658222e+07 7.6175794202028409e+07 7.5238459950311467e+07 7.4355184719802439e+07 7.3588636093693286e+07 7.3037555121958375e+07 7.2839276192614794e+07 7.3193515388067082e+07 7.4390776431649774e+07 7.6871290606621593e+07 8.1331930457164600e+07 8.8947324464094728e+07 1.8939085937097643e+07 +9.3758586195399154e+00 2.3791332428897795e+08 2.3788988072505185e+08 2.3785022311021128e+08 2.3779788411954775e+08 2.3774469973582032e+08 2.3770939489860967e+08 2.3770043009884620e+08 2.3770354304664066e+08 2.3770392009953055e+08 2.3769800782986253e+08 2.3768683698594722e+08 2.3766989548613089e+08 2.3764593229595256e+08 2.3761376007446250e+08 2.3757218187245694e+08 2.3751969150541052e+08 2.3745449560986075e+08 2.3737454077411631e+08 2.3727742875865430e+08 2.3716030888695624e+08 2.3701982562260041e+08 2.3685192844158354e+08 2.3665081519974169e+08 2.3640646809665552e+08 2.3610905209788904e+08 2.3575374223225811e+08 2.3533375615717945e+08 2.3483892749689522e+08 2.3425699603635287e+08 2.3357377446240592e+08 2.3277299505427760e+08 2.3183609536948976e+08 2.3074201887504160e+08 2.2946705736784136e+08 2.2798477512226498e+08 2.2626601414420071e+08 2.2427910129230171e+08 2.2199028309088606e+08 2.1936453544533515e+08 2.1636677471607208e+08 2.1269314033785596e+08 2.0851584554124409e+08 2.0380930171129405e+08 1.9856350217537108e+08 1.9278985591240472e+08 1.8652655755411094e+08 1.7984222791600603e+08 1.7283634948914406e+08 1.6563544107483500e+08 1.5838345800587118e+08 1.5122880910817930e+08 1.4431346763860628e+08 1.3776072852141240e+08 1.3165667020608702e+08 1.2605307959641565e+08 1.2097211414288412e+08 1.1640768000166196e+08 1.1233605866679306e+08 1.0872110592247556e+08 1.0552534670426832e+08 1.0270668243757297e+08 1.0022960911872438e+08 9.8056894616664186e+07 9.6161398959218591e+07 9.4513747119965240e+07 9.3088823389980167e+07 9.1867181987270519e+07 9.0827256244895563e+07 8.9948145786063030e+07 8.9214816566112727e+07 8.8607875974593252e+07 8.8113876653863311e+07 8.7716901381568059e+07 8.7403617254521444e+07 8.7155546051957175e+07 8.6954492404496297e+07 8.6787381306133538e+07 8.6641518217595741e+07 8.6503996379811808e+07 8.6406717700427845e+07 8.6308505487544924e+07 8.6208299785634086e+07 8.6103346180224597e+07 8.5995076329322308e+07 8.5880337471769348e+07 8.5763190140305802e+07 8.5632890636475354e+07 8.5493442759670511e+07 8.5342280589392066e+07 8.5177400464957997e+07 8.4996367595808178e+07 8.4796439138935030e+07 8.4573634631610945e+07 8.4328634765370607e+07 8.4051858435409620e+07 8.3741544478879258e+07 8.3393190338914752e+07 8.3001950537384182e+07 8.2562828148067728e+07 8.2070811035852492e+07 8.1520317744701937e+07 8.0912319721860901e+07 8.0235862570713267e+07 7.9493404913965449e+07 7.8686664219821602e+07 7.7821968199463055e+07 7.6910083036056474e+07 7.5971500987535313e+07 7.5036680685558796e+07 7.4155773953374311e+07 7.3391281136357129e+07 7.2841678118218973e+07 7.2643931090756774e+07 7.2997220293709531e+07 7.4191270413968831e+07 7.6665132153856561e+07 8.1113809316972986e+07 8.8708779371618733e+07 1.8875206203363772e+07 +9.3808269423141741e+00 2.3745508948788443e+08 2.3743169078672206e+08 2.3739210625029778e+08 2.3733986291812494e+08 2.3728677093197677e+08 2.3725151809513140e+08 2.3724254875205493e+08 2.3724562848300454e+08 2.3724597178662074e+08 2.3724003069955742e+08 2.3722883244981971e+08 2.3721186446155116e+08 2.3718787632910323e+08 2.3715568092525733e+08 2.3711408119291711e+08 2.3706157105426770e+08 2.3699635722765392e+08 2.3691638621814328e+08 2.3681925966513121e+08 2.3670212685396180e+08 2.3656163226631531e+08 2.3639372562158617e+08 2.3619260607941061e+08 2.3594825829389930e+08 2.3565084491847116e+08 2.3529553896615353e+08 2.3487556195529386e+08 2.3438075138363743e+08 2.3379885083322573e+08 2.3311567799880177e+08 2.3231497201012316e+08 2.3137817976724073e+08 2.3028425738036665e+08 2.2900951359427160e+08 2.2752753515455371e+08 2.2580919359582487e+08 2.2382285407400000e+08 2.2153481211019823e+08 2.1891010519263452e+08 2.1591372560659933e+08 2.1224205917754370e+08 2.0806736345602429e+08 2.0336419897459301e+08 1.9812271686145136e+08 1.9235447892543319e+08 1.8609780819986853e+08 1.7942140570884877e+08 1.7242476176946083e+08 1.6523431154724765e+08 1.5799383073794487e+08 1.5085146386965010e+08 1.4394885189554322e+08 1.3740892604080296e+08 1.3131743765179792e+08 1.2572589862980764e+08 1.2065625639357999e+08 1.1610228900935461e+08 1.1204021589907457e+08 1.0843388840527377e+08 1.0524585388612244e+08 1.0243406992161611e+08 9.9963086417234585e+07 9.7795742631467506e+07 9.5904950371661946e+07 9.4261399225160122e+07 9.2840030556068107e+07 9.1621442591293365e+07 9.0584121258607477e+07 8.9707217713949636e+07 8.8975734193680778e+07 8.8370327431819841e+07 8.7877582202921391e+07 8.7481620917187959e+07 8.7169142727026135e+07 8.6921715218576416e+07 8.6721188782070667e+07 8.6554519755618513e+07 8.6409044967095181e+07 8.6271890954240739e+07 8.6174873026803091e+07 8.6076924249448076e+07 8.5976987408198625e+07 8.5872315431669533e+07 8.5764336117020994e+07 8.5649905292233199e+07 8.5533071914451972e+07 8.5403122059615955e+07 8.5264048378061950e+07 8.5113291834252864e+07 8.4948854143486664e+07 8.4768307048238233e+07 8.4568915064929470e+07 8.4346708545594811e+07 8.4102365687849402e+07 8.3826332027242318e+07 8.3516850726936325e+07 8.3169431311133593e+07 8.2779241303058341e+07 8.2341297184045494e+07 8.1850600267565072e+07 8.1301584203280002e+07 8.0695217189774379e+07 8.0020575120984405e+07 7.9280109637675330e+07 7.8475533599880427e+07 7.7613157740602672e+07 7.6703719355311692e+07 7.5767655717674956e+07 7.4835343852525517e+07 7.3956800426895022e+07 7.3194358911123112e+07 7.2646230605794817e+07 7.2449014313269362e+07 7.2801355606690779e+07 7.3992201844204515e+07 7.6459425735578060e+07 8.0896166440585956e+07 8.8470757327844277e+07 1.8811526122394990e+07 +9.3857952650884329e+00 2.3699727253145236e+08 2.3697391771965367e+08 2.3693440685312641e+08 2.3688225914690512e+08 2.3682925954515848e+08 2.3679405873215678e+08 2.3678508491786376e+08 2.3678813155056942e+08 2.3678844124141657e+08 2.3678247149063900e+08 2.3677124601775116e+08 2.3675425175351033e+08 2.3673023892861611e+08 2.3669802063580993e+08 2.3665639971781427e+08 2.3660387021312809e+08 2.3653863893175510e+08 2.3645865230869630e+08 2.3636151187866625e+08 2.3624436690560907e+08 2.3610386191171503e+08 2.3593594688300073e+08 2.3573482231527317e+08 2.3549047537030610e+08 2.3519306646067154e+08 2.3483776662482753e+08 2.3441780127088040e+08 2.3392301182219291e+08 2.3334114572354007e+08 2.3265802575361755e+08 2.3185739797634393e+08 2.3092071872544634e+08 2.2982695685324526e+08 2.2855243815460703e+08 2.2707077195184654e+08 2.2535285940955368e+08 2.2336710407359624e+08 2.2107985053315586e+08 2.1845619790047345e+08 2.1546121437808332e+08 2.1179153336245823e+08 2.0761945546150792e+08 2.0291969000316703e+08 1.9768254539648077e+08 1.9191973558646622e+08 1.8566971116123712e+08 1.7900125241214433e+08 1.7201385654161587e+08 1.6483387426636824e+08 1.5760490108334863e+08 1.5047481700830385e+08 1.4358493088771176e+08 1.3705781082454494e+08 1.3097888185003625e+08 1.2539938176923037e+08 1.2034104887635206e+08 1.1579753392478229e+08 1.1174499487827805e+08 1.0814727906252411e+08 1.0496695654908463e+08 1.0216204120868880e+08 9.9697136934869349e+07 9.7535154359858528e+07 9.5649057063710243e+07 9.4009599179741889e+07 9.2591779075034082e+07 9.1376238932016134e+07 9.0341517186725751e+07 8.9466816439193904e+07 8.8737175148588285e+07 8.8133299299705297e+07 8.7641805748295069e+07 8.7246856465556294e+07 8.6935182607021317e+07 8.6688397483395845e+07 8.6488397158529386e+07 8.6322169263575733e+07 8.6177081937313676e+07 8.6040294947675154e+07 8.5943537201077327e+07 8.5845851281439498e+07 8.5746182710869715e+07 8.5641791744967565e+07 8.5534102328752130e+07 8.5419978859856844e+07 8.5303458748492166e+07 8.5173857775045976e+07 8.5035157467387691e+07 8.4884805659595683e+07 8.4720809431350395e+07 8.4540747043627039e+07 8.4341890356331408e+07 8.4120280511818767e+07 8.3876593222155854e+07 8.3601300600809321e+07 8.3292650129129544e+07 8.2946163385860220e+07 8.2557020867028505e+07 8.2120252432167530e+07 8.1630872813755020e+07 8.1083330733479172e+07 8.0478591151115492e+07 7.9805760180866420e+07 7.9067282498512939e+07 7.8264866366076991e+07 7.7404805575382188e+07 7.6497808598024905e+07 7.5564257843773276e+07 7.4634448909309641e+07 7.3758263604692489e+07 7.2997868887899518e+07 7.2451212058611631e+07 7.2254525335513726e+07 7.2605920799654096e+07 7.3793570186380967e+07 7.6254170798070386e+07 8.0679001242274567e+07 8.8233257692233428e+07 1.8748045143985868e+07 +9.3907635878626916e+00 2.3653987521018684e+08 2.3651656377234182e+08 2.3647712685196647e+08 2.3642507442839339e+08 2.3637216720863310e+08 2.3633701843781620e+08 2.3632804021945328e+08 2.3633105387308908e+08 2.3633133008705094e+08 2.3632533182669991e+08 2.3631407931250566e+08 2.3629705898340926e+08 2.3627302171638340e+08 2.3624078082682452e+08 2.3619913906709731e+08 2.3614659059958756e+08 2.3608134233853149e+08 2.3600134066077310e+08 2.3590418701135710e+08 2.3578703065200788e+08 2.3564651616545755e+08 2.3547859382948786e+08 2.3527746550667018e+08 2.3503312091900846e+08 2.3473571831160012e+08 2.3438042678746688e+08 2.3396047567435282e+08 2.3346571037220567e+08 2.3288388225428247e+08 2.3220081925894424e+08 2.3140027446731976e+08 2.3046371373835599e+08 2.2937011876355168e+08 2.2809583249088922e+08 2.2661448692335078e+08 2.2489701295687124e+08 2.2291185261770001e+08 2.2062539963583595e+08 2.1800281478574908e+08 2.1500924217925787e+08 2.1134156395832556e+08 2.0717212252833107e+08 2.0247577566089928e+08 1.9724298852600238e+08 1.9148562651176298e+08 1.8524226691665354e+08 1.7858176836044091e+08 1.7160363399501878e+08 1.6443412927935392e+08 1.5721666895521769e+08 1.5009886831555384e+08 1.4322170430094421e+08 1.3670738247042009e+08 1.3064100232778510e+08 1.2507352848798656e+08 1.2002649102451517e+08 1.1549341415322372e+08 1.1145039499041264e+08 1.0786127726783885e+08 1.0468865405879846e+08 1.0189059566001439e+08 9.9431760030395597e+07 9.7275129159811243e+07 9.5393718393248767e+07 9.3758346342426464e+07 9.2344068306338623e+07 9.1131570370008066e+07 9.0099443390882432e+07 8.9226941324666440e+07 8.8499138794869095e+07 8.7896790943342030e+07 8.7406546656289011e+07 8.7012607394159347e+07 8.6701736263176247e+07 8.6455592216054946e+07 8.6256116904604375e+07 8.6090329201763436e+07 8.5945628500886738e+07 8.5809207733616918e+07 8.5712709597501174e+07 8.5615285958561823e+07 8.5515885069347724e+07 8.5411774496675313e+07 8.5304374341873869e+07 8.5190557552911952e+07 8.5074350021325007e+07 8.4945097162733138e+07 8.4806769408494741e+07 8.4656821447475016e+07 8.4493265711711541e+07 8.4313686966584280e+07 8.4115364399169385e+07 8.3894349917871296e+07 8.3651316757761478e+07 8.3376763547586024e+07 8.3068942079061255e+07 8.2723385959215045e+07 8.2335288628230095e+07 8.1899693294568598e+07 8.1411628080102772e+07 8.0865556744904280e+07 8.0262441020046830e+07 7.9591417169410542e+07 7.8854922920807630e+07 7.8054661948529631e+07 7.7196911140419230e+07 7.6292350207165912e+07 7.5361306815632895e+07 7.4433995312529698e+07 7.3560162949912518e+07 7.2801810535265237e+07 7.2256621949157596e+07 7.2060463631455332e+07 7.2410915344087452e+07 7.3595374903363556e+07 7.6049366786200389e+07 8.0462313134578139e+07 8.7996279822295040e+07 1.8684762719093498e+07 +9.3957319106369503e+00 2.3608289738966346e+08 2.3605963083842158e+08 2.3602026758172828e+08 2.3596831039331031e+08 2.3591549554886091e+08 2.3588039882777438e+08 2.3587141626951841e+08 2.3587439706351984e+08 2.3587463993655053e+08 2.3586861331976724e+08 2.3585733394589368e+08 2.3584028776355031e+08 2.3581622630274165e+08 2.3578396310802031e+08 2.3574230084924889e+08 2.3568973382189363e+08 2.3562446905416694e+08 2.3554445287839666e+08 2.3544728666566846e+08 2.3533011969264889e+08 2.3518959662408316e+08 2.3502166805331790e+08 2.3482053724152780e+08 2.3457619652334836e+08 2.3427880204765165e+08 2.3392352102311853e+08 2.3350358672559771e+08 2.3300884858237910e+08 2.3242706196173722e+08 2.3174406003630197e+08 2.3094360298754281e+08 2.3000716628915983e+08 2.2891374457074788e+08 2.2763969803455296e+08 2.2615868146796641e+08 2.2444165559840241e+08 2.2245710102304205e+08 2.2017146068284449e+08 2.1754995705451101e+08 2.1455781014892289e+08 2.1089215202071983e+08 2.0672536561768359e+08 2.0203245680231068e+08 1.9680404698628968e+08 1.9105215230861765e+08 1.8481547593581522e+08 1.7816295388014635e+08 1.7119409431120157e+08 1.6403507662619409e+08 1.5682913426024005e+08 1.4972361757713786e+08 1.4285917181562001e+08 1.3635764057128358e+08 1.3030379860800850e+08 1.2474833825514361e+08 1.1971258226791599e+08 1.1518992909650514e+08 1.1115641561855963e+08 1.0757588239181741e+08 1.0441094577837327e+08 1.0161973263426635e+08 9.9166955060509458e+07 9.7015666387106195e+07 9.5138933716365457e+07 9.3507640069750831e+07 9.2096897607672349e+07 9.0887436263923347e+07 8.9857899230968863e+07 8.8987591731300905e+07 8.8261624494778380e+07 8.7660801726336837e+07 8.7171804291665569e+07 8.6778873068881705e+07 8.6468803062478840e+07 8.6223298784685463e+07 8.6024347389448196e+07 8.5858998940179646e+07 8.5714684028931648e+07 8.5578628684145212e+07 8.5482389588840038e+07 8.5385227654246390e+07 8.5286093857807830e+07 8.5182263061676800e+07 8.5075151532073542e+07 8.4961640747830510e+07 8.4845745110444665e+07 8.4716839600928530e+07 8.4578883580802858e+07 8.4429338578328580e+07 8.4266222366295040e+07 8.4087126200069055e+07 8.3889336577771410e+07 8.3668916149733588e+07 8.3426535682422996e+07 8.3152720257252723e+07 8.2845725968823895e+07 8.2501098425771877e+07 8.2114043984149948e+07 8.1679619171862364e+07 8.1192865470865667e+07 8.0648261645750642e+07 8.0046766209160924e+07 7.9377545504079700e+07 7.8643030327556849e+07 7.7844919775984272e+07 7.6989473870606989e+07 7.6087343624523446e+07 7.5158802081808776e+07 7.4233982517452389e+07 7.3362497924085066e+07 7.2606183320405751e+07 7.2062459748719454e+07 7.1866828673716977e+07 7.2216338710057229e+07 7.3397615456520781e+07 7.5845013143360406e+07 8.0246101528687268e+07 8.7759823074136555e+07 1.8621678299836896e+07 +9.4007002334112091e+00 2.3562634479912770e+08 2.3560312148050404e+08 2.3556383083121812e+08 2.3551196870735809e+08 2.3545924617995498e+08 2.3542420150629449e+08 2.3541521466969052e+08 2.3541816272414526e+08 2.3541837239203611e+08 2.3541231757187256e+08 2.3540101151935595e+08 2.3538393969400910e+08 2.3535985428814402e+08 2.3532756907893419e+08 2.3528588666288325e+08 2.3523330147657520e+08 2.3516802067415962e+08 2.3508799055548701e+08 2.3499081243312246e+08 2.3487363561645204e+08 2.3473310487319306e+08 2.3456517113710684e+08 2.3436403909776339e+08 2.3411970375591803e+08 2.3382231923516721e+08 2.3346705089010248e+08 2.3304713597361609e+08 2.3255242799147454e+08 2.3197068637199181e+08 2.3128774959660748e+08 2.3048738502989888e+08 2.2955107785144514e+08 2.2845783572406402e+08 2.2718403620662677e+08 2.2570335697379497e+08 2.2398678868429300e+08 2.2200285059558520e+08 2.1971803492963165e+08 2.1709762590275553e+08 2.1410691941557860e+08 2.1044329859532368e+08 2.0627918568067676e+08 2.0158973427231294e+08 1.9636572150417316e+08 1.9061931357549232e+08 1.8438933867958251e+08 1.7774480928959572e+08 1.7078523766410002e+08 1.6363671633982801e+08 1.5644229689828289e+08 1.4934906457275686e+08 1.4249733310730183e+08 1.3600858471536350e+08 1.2996727020934565e+08 1.2442381053635512e+08 1.1939932203292063e+08 1.1488707815349597e+08 1.1086305614274004e+08 1.0729109380259341e+08 1.0413383106847763e+08 1.0134945148794453e+08 9.8902721379437953e+07 9.6756765395571768e+07 9.4884702386817083e+07 9.3257479716394961e+07 9.1850266334639594e+07 9.0643835970618367e+07 8.9616884065006837e+07 8.8748767018603191e+07 8.8024631608896792e+07 8.7425331010405928e+07 8.6937578017430410e+07 8.6545652853895605e+07 8.6236382370232776e+07 8.5991516555651814e+07 8.5793087980470061e+07 8.5628177847394124e+07 8.5484247890831620e+07 8.5348557169667393e+07 8.5252576546287656e+07 8.5155675740337357e+07 8.5056808448734179e+07 8.4953256813278779e+07 8.4846433273415715e+07 8.4733227819567725e+07 8.4617643391535640e+07 8.4489084466459751e+07 8.4351499362051353e+07 8.4202356430912048e+07 8.4039678775028929e+07 8.3861064125310197e+07 8.3663806275014788e+07 8.3443978591864511e+07 8.3202249382410765e+07 8.2929170118096322e+07 8.2623001188913286e+07 8.2279300178633198e+07 8.1893286330668807e+07 8.1460029463112429e+07 8.0974584388589561e+07 8.0431444842766687e+07 7.9831566129543260e+07 7.9164144600919291e+07 7.8431604140144929e+07 7.7635639275753766e+07 7.6782493199581146e+07 7.5882788290217236e+07 7.4956743089278758e+07 7.4034409977924913e+07 7.3165267987565443e+07 7.2410986709193319e+07 7.1868724927033871e+07 7.1673619933567181e+07 7.2022190366279811e+07 7.3200291305877954e+07 7.5641109311613038e+07 8.0030365834307820e+07 8.7523886801997423e+07 1.8558791339496311e+07 +9.4056685561854678e+00 2.3517021529325178e+08 2.3514703470651668e+08 2.3510781825029582e+08 2.3505605103441671e+08 2.3500342070003158e+08 2.3496842806588957e+08 2.3495943701080191e+08 2.3496235244709393e+08 2.3496252904514596e+08 2.3495644617430800e+08 2.3494511362365982e+08 2.3492801636531267e+08 2.3490390726200098e+08 2.3487160032816970e+08 2.3482989809529540e+08 2.3477729515030017e+08 2.3471199878310570e+08 2.3463195527480581e+08 2.3453476589417329e+08 2.3441758000144690e+08 2.3427704248813045e+08 2.3410910465183231e+08 2.3390797264233229e+08 2.3366364417812723e+08 2.3336627142942163e+08 2.3301101793616712e+08 2.3259112495719472e+08 2.3209645012720910e+08 2.3151475699998784e+08 2.3083188944003147e+08 2.3003162207751390e+08 2.2909544988717398e+08 2.2800239366206649e+08 2.2672884841783023e+08 2.2524851481877032e+08 2.2353241355420703e+08 2.2154910263092107e+08 2.1926512362066773e+08 2.1664582251661390e+08 2.1365657109795505e+08 2.0999500471778762e+08 2.0583358365892032e+08 2.0114760890636086e+08 1.9592801279733366e+08 1.9018711090159243e+08 1.8396385560056067e+08 1.7732733489894873e+08 1.7037706422020051e+08 1.6323904844633693e+08 1.5605615676328045e+08 1.4897520907647929e+08 1.4213618784556293e+08 1.3566021448591405e+08 1.2963141664618824e+08 1.2409994479328632e+08 1.1908670974265741e+08 1.1458486071998030e+08 1.1057031594035874e+08 1.0700691086559470e+08 1.0385730928729473e+08 1.0107975157517761e+08 9.8639058339588031e+07 9.6498425536803290e+07 9.4631023756862581e+07 9.3007864635274515e+07 9.1604173841197908e+07 9.0400768845184028e+07 8.9376397249493361e+07 8.8510466544133842e+07 8.7788159496122926e+07 8.7190378155750647e+07 8.6703867194862634e+07 8.6312946111817449e+07 8.6004473550247893e+07 8.5760244893764779e+07 8.5562338043603495e+07 8.5397865290248215e+07 8.5254319454537004e+07 8.5118992558950588e+07 8.5023269839236900e+07 8.4926629587008238e+07 8.4828028213237852e+07 8.4724755123197511e+07 8.4618218938455373e+07 8.4505318141638175e+07 8.4390044238865420e+07 8.4261831134491235e+07 8.4124616128387228e+07 8.3975874382640958e+07 8.3813634316454753e+07 8.3635500122280225e+07 8.3438772872118205e+07 8.3219536627207801e+07 8.2978457242306530e+07 8.2706112516875833e+07 8.2400767128222317e+07 8.2057990609191000e+07 8.1673015062128037e+07 8.1240923565896109e+07 8.0756784234546944e+07 8.0215105741078123e+07 7.9616840190749168e+07 7.8951213874442816e+07 7.8220643778435782e+07 7.7426819873698413e+07 7.6575968559433669e+07 7.5678683643109754e+07 7.4755129283759683e+07 7.3835277146490753e+07 7.2968472599130467e+07 7.2216220166130915e+07 7.1675416952632830e+07 7.1480836880978838e+07 7.1828469780076116e+07 7.3003401910065815e+07 7.5437654731591552e+07 7.9815105459509745e+07 8.7288470358652040e+07 1.8496101292512588e+07 +9.4106368789597266e+00 2.3471450922933236e+08 2.3469137404504022e+08 2.3465223133753142e+08 2.3460055895306242e+08 2.3454802069035777e+08 2.3451308008697322e+08 2.3450408487311184e+08 2.3450696781354779e+08 2.3450711147643110e+08 2.3450100070742521e+08 2.3448964183922508e+08 2.3447251935701784e+08 2.3444838680330411e+08 2.3441605843369988e+08 2.3437433672369158e+08 2.3432171641848218e+08 2.3425640495575538e+08 2.3417634860905191e+08 2.3407914861940464e+08 2.3396195441554940e+08 2.3382141103301367e+08 2.3365347015859592e+08 2.3345233943180573e+08 2.3320801934146842e+08 2.3291066017511013e+08 2.3255542369834113e+08 2.3213555520432833e+08 2.3164091650698301e+08 2.3105927535069466e+08 2.3037648105676296e+08 2.2957631560290396e+08 2.2864028384865162e+08 2.2754741981254658e+08 2.2627413606813177e+08 2.2479415637060672e+08 2.2307853153816101e+08 2.2109585841465253e+08 2.1881272799081430e+08 2.1619454807172400e+08 2.1320676630444017e+08 2.0954727141433334e+08 2.0538856048418322e+08 2.0070608153039292e+08 1.9549092157433915e+08 1.8975554486751735e+08 1.8353902714306980e+08 1.7691053101041603e+08 1.6996957413857087e+08 1.6284207296473032e+08 1.5567071374242440e+08 1.4860205085624027e+08 1.4177573569539103e+08 1.3531252946180883e+08 1.2929623742873603e+08 1.2377674048364149e+08 1.1877474481656832e+08 1.1428327618857764e+08 1.1027819438589498e+08 1.0672333294355968e+08 1.0358137979051162e+08 1.0081063224786465e+08 9.8375965290820882e+07 9.6240646160479143e+07 9.4377897176285118e+07 9.2758794177150384e+07 9.1358619479414716e+07 9.0158234241094202e+07 8.9136438138948292e+07 8.8272689663904056e+07 8.7552207513689369e+07 8.6955942520982057e+07 8.6470671183957353e+07 8.6080752203657478e+07 8.5773075964582607e+07 8.5529483162323579e+07 8.5332096943181202e+07 8.5168060634089395e+07 8.5024898086214617e+07 8.4889934219288260e+07 8.4794468835677147e+07 8.4698088562983111e+07 8.4599752520592064e+07 8.4496757361658603e+07 8.4390507898218960e+07 8.4277911085677356e+07 8.4162947025082514e+07 8.4035078978575274e+07 8.3898233254482791e+07 8.3749891809170485e+07 8.3588088367573351e+07 8.3410433569160357e+07 8.3214235748863161e+07 8.2995589637138292e+07 8.2755158645349041e+07 8.2483546838688448e+07 8.2179023174312457e+07 8.1837169107540995e+07 8.1453229571323931e+07 8.1022300876318261e+07 8.0539464408327848e+07 7.9999243744372129e+07 7.9402587800982177e+07 7.8738752737791449e+07 7.8010148661045879e+07 7.7218460994210720e+07 7.6369899380997643e+07 7.5475029120599747e+07 7.4553960109555170e+07 7.3636583474202529e+07 7.2772111216472983e+07 7.2021883154249325e+07 7.1482535292677194e+07 7.1288478984579414e+07 7.1635176417516962e+07 7.2806946726392344e+07 7.5234648842404082e+07 7.9600319810983673e+07 8.7053573095140934e+07 1.8433607614486475e+07 +9.4156052017339853e+00 2.3425923397110376e+08 2.3423614006968534e+08 2.3419707162910083e+08 2.3414549396161780e+08 2.3409304771634245e+08 2.3405815913856038e+08 2.3404915982628155e+08 2.3405201039419934e+08 2.3405212125657588e+08 2.3404598274174133e+08 2.3403459773530769e+08 2.3401745023822561e+08 2.3399329448031414e+08 2.3396094496308374e+08 2.3391920411454538e+08 2.3386656684679595e+08 2.3380124075551507e+08 2.3372117211981925e+08 2.3362396216838166e+08 2.3350676041574663e+08 2.3336621206229001e+08 2.3319826920781949e+08 2.3299714101222768e+08 2.3275283078672299e+08 2.3245548700658038e+08 2.3210026970324239e+08 2.3168042823248765e+08 2.3118582863741308e+08 2.3060424291795123e+08 2.2992152592607281e+08 2.2912146706811249e+08 2.2818558117717463e+08 2.2709291559355250e+08 2.2581990054720691e+08 2.2434028298631629e+08 2.2262514395506394e+08 2.2064311922207519e+08 2.1836084926387775e+08 2.1574380373398530e+08 2.1275750613381189e+08 2.0910009970076656e+08 2.0494411707861850e+08 2.0026515296073288e+08 1.9505444853447339e+08 1.8932461604498610e+08 1.8311485374246365e+08 1.7649439791822180e+08 1.6956276757051086e+08 1.6244578990706575e+08 1.5528596771670324e+08 1.4822958967461631e+08 1.4141597631640980e+08 1.3496552921709469e+08 1.2896173206307788e+08 1.2345419706170100e+08 1.1846342667076531e+08 1.1398232394873749e+08 1.0998669085094289e+08 1.0644035939684784e+08 1.0330604193155064e+08 1.0054209285555550e+08 9.8113441581231162e+07 9.5983426614235729e+07 9.4125321993406415e+07 9.2510267691224858e+07 9.1113602599579483e+07 8.9916231509836644e+07 8.8897006086397037e+07 8.8035435732123822e+07 8.7316775017295241e+07 8.6722023462916121e+07 8.6237989342758343e+07 8.5849070488836825e+07 8.5542188973815933e+07 8.5299230722907946e+07 8.5102364041801274e+07 8.4938763242677629e+07 8.4795983150652692e+07 8.4661381516439378e+07 8.4566172901959524e+07 8.4470052035366088e+07 8.4371980738656670e+07 8.4269262897183895e+07 8.4163299521965459e+07 8.4051006021992519e+07 8.3936351121271431e+07 8.3808827370803773e+07 8.3672350113298684e+07 8.3524408084748894e+07 8.3363040303722888e+07 8.3185863842728600e+07 8.2990194283491433e+07 8.2772137001441613e+07 8.2532352973072141e+07 8.2261472467152402e+07 8.1957768712966681e+07 8.1616835062080801e+07 8.1233929249728903e+07 8.0804160788876966e+07 8.0322624308126926e+07 7.9783858254945949e+07 7.9188808366853625e+07 7.8526760602482453e+07 7.7800118204993322e+07 7.7010562060311645e+07 7.6164285093620330e+07 7.5271824158721983e+07 7.4353235009481341e+07 7.3438328410889462e+07 7.2576183295716137e+07 7.1827975135457382e+07 7.1290079413040146e+07 7.1096545711637959e+07 7.1442309743327111e+07 7.2610925210837916e+07 7.5032091081958979e+07 7.9386008293936700e+07 8.6819194361054435e+07 1.8371309762177940e+07 +9.4205735245082440e+00 2.3380438613648921e+08 2.3378133512582365e+08 2.3374234050945666e+08 2.3369085756247357e+08 2.3363850333171913e+08 2.3360366677904487e+08 2.3359466343016836e+08 2.3359748174937660e+08 2.3359755994560012e+08 2.3359139383647153e+08 2.3357998287123773e+08 2.3356281056777158e+08 2.3353863185127878e+08 2.3350626147360340e+08 2.3346450182387784e+08 2.3341184798998201e+08 2.3334650773563322e+08 2.3326642735869116e+08 2.3316920809027126e+08 2.3305199954838604e+08 2.3291144711957863e+08 2.3274350333918384e+08 2.3254237891893286e+08 2.3229808004381880e+08 2.3200075344785097e+08 2.3164555746709010e+08 2.3122574554877409e+08 2.3073118801521665e+08 2.3014966118605897e+08 2.2946702551688486e+08 2.2866707792439941e+08 2.2773134330422822e+08 2.2663888241213405e+08 2.2536614323455563e+08 2.2388689601251030e+08 2.2217225211382091e+08 2.2019088631800890e+08 2.1790948865434715e+08 2.1529359065885818e+08 2.1230879167437115e+08 2.0865349058347455e+08 2.0450025435466486e+08 1.9982482400456071e+08 1.9461859436795798e+08 1.8889432499677005e+08 1.8269133582598546e+08 1.7607893590856546e+08 1.6915664466021863e+08 1.6205019927861920e+08 1.5490191856084606e+08 1.4785782528839043e+08 1.4105690936291733e+08 1.3461921332129034e+08 1.2862790005107971e+08 1.2313231397777775e+08 1.1815275471813501e+08 1.1368200338711539e+08 1.0969580470450929e+08 1.0615798958299030e+08 1.0303129506141271e+08 1.0027413274566193e+08 9.7851486556547686e+07 9.5726766243662938e+07 9.3873297554151341e+07 9.2262284524464101e+07 9.0869122550174966e+07 8.9674760001153842e+07 8.8658100442986548e+07 8.7798704101555377e+07 8.7081861360808328e+07 8.6488620336933792e+07 8.6005821027877659e+07 8.5617900325149596e+07 8.5311811936974943e+07 8.5069486935683593e+07 8.4873138700776070e+07 8.4709972478199840e+07 8.4567574011047021e+07 8.4433333814405456e+07 8.4338381403121829e+07 8.4242519369744629e+07 8.4144712233774051e+07 8.4042271097004727e+07 8.3936593177741647e+07 8.3824602319323868e+07 8.3710255897051334e+07 8.3583075681665182e+07 8.3446966076574177e+07 8.3299422582017064e+07 8.3138489498793915e+07 8.2961790318155617e+07 8.2766647852565646e+07 8.2549178098478213e+07 8.2310039605694279e+07 8.2039888784504130e+07 8.1737003128734544e+07 8.1396987859909251e+07 8.1015113487171516e+07 8.0586502696776912e+07 8.0106263330746010e+07 7.9568948673510849e+07 7.8975501293640912e+07 7.8315236878837943e+07 7.7590551826032862e+07 7.6803122493550181e+07 7.5959125125179395e+07 7.5069068192107379e+07 7.4152953425191551e+07 7.3240511404933676e+07 7.2380688291803688e+07 7.1634495570314467e+07 7.1098048778321192e+07 7.0905036528212920e+07 7.1249869220921397e+07 7.2415336818034381e+07 7.4829980886633381e+07 7.9172170312073261e+07 8.6585333504204735e+07 1.8309207193505555e+07 +9.4255418472825028e+00 2.3334996652136353e+08 2.3332696016677952e+08 2.3328803946503004e+08 2.3323665131397939e+08 2.3318438908187625e+08 2.3314960455641997e+08 2.3314059723376316e+08 2.3314338342865369e+08 2.3314342909246221e+08 2.3313723554094541e+08 2.3312579879569307e+08 2.3310860189335302e+08 2.3308440046325418e+08 2.3305200951164451e+08 2.3301023139715403e+08 2.3295756139192021e+08 2.3289220743890762e+08 2.3281211586662796e+08 2.3271488792392728e+08 2.3259767335012189e+08 2.3245711773748979e+08 2.3228917408220303e+08 2.3208805467723775e+08 2.3184376863284945e+08 2.3154646101203582e+08 2.3119128849570063e+08 2.3077150864992580e+08 2.3027699612603784e+08 2.2969553162766495e+08 2.2901298128774336e+08 2.2821314961345512e+08 2.2727757165036613e+08 2.2618532166519758e+08 2.2491286549917546e+08 2.2343399678631443e+08 2.2171985731330380e+08 2.1973916095742345e+08 2.1745864736613098e+08 2.1484390999202514e+08 2.1186062400503114e+08 2.0820744505856270e+08 2.0405697321511108e+08 1.9938509545948276e+08 1.9418335975571227e+08 1.8846467227705723e+08 1.8226847381265852e+08 1.7566414525996754e+08 1.6875120554416776e+08 1.6165530107771778e+08 1.5451856614332205e+08 1.4748675744839224e+08 1.4069853448418373e+08 1.3427358133917347e+08 1.2829474089053912e+08 1.2281109067877744e+08 1.1784272836821750e+08 1.1338231388705322e+08 1.0940553531257454e+08 1.0587622285715237e+08 1.0275713852859451e+08 1.0000675126331145e+08 9.7590099560489029e+07 9.5470664392320782e+07 9.3621823202918023e+07 9.2014844022484139e+07 9.0625178677883312e+07 8.9433819063421369e+07 8.8419720558326766e+07 8.7562494123009816e+07 8.6847465896638349e+07 8.6255732496670827e+07 8.5774165594359502e+07 8.5387241068907425e+07 8.5081944211532846e+07 8.4840251159212843e+07 8.4644420279733256e+07 8.4481687701340809e+07 8.4339670028992996e+07 8.4205790475946873e+07 8.4111093702306196e+07 8.4015489930132806e+07 8.3917946370757118e+07 8.3815781326612204e+07 8.3710388231759623e+07 8.3598699344898582e+07 8.3484660720376328e+07 8.3357823280231848e+07 8.3222080514252827e+07 8.3074934672177702e+07 8.2914435325183943e+07 8.2738212369161025e+07 8.2543595831399351e+07 8.2326712305021033e+07 8.2088217921799406e+07 8.1818795171410143e+07 8.1516725804602146e+07 8.1177626886477590e+07 8.0796781671998903e+07 8.0369325991609663e+07 7.9890380871370271e+07 7.9354514399436489e+07 7.8762665985180393e+07 7.8104180975600004e+07 7.7381448938349932e+07 7.6596141714187771e+07 7.5754418902290821e+07 7.4866760654163137e+07 7.3953114796829417e+07 7.3043131903483257e+07 7.2185625658367813e+07 7.1441443917944893e+07 7.0906442851687029e+07 7.0713950899024561e+07 7.1057854312423497e+07 7.2220181001312479e+07 7.4628317691610828e+07 7.8958805267873049e+07 8.6351989870982975e+07 1.8247299367545646e+07 +9.4305101700567615e+00 2.3289598165678501e+08 2.3287301917349023e+08 2.3283417012482452e+08 2.3278287680621329e+08 2.3273070650551379e+08 2.3269597400906870e+08 2.3268696277698997e+08 2.3268971697158149e+08 2.3268973023650712e+08 2.3268350939376596e+08 2.3267204704685265e+08 2.3265482575279930e+08 2.3263060185329056e+08 2.3259819061322471e+08 2.3255639436951351e+08 2.3250370858670568e+08 2.3243834139744228e+08 2.3235823917390949e+08 2.3226100319757447e+08 2.3214378334638637e+08 2.3200322543911546e+08 2.3183528295586053e+08 2.3163416980149981e+08 2.3138989806282973e+08 2.3109261120220163e+08 2.3073746428396019e+08 2.3031771902187929e+08 2.2982325444538882e+08 2.2924185570618102e+08 2.2855939468675154e+08 2.2775968356546602e+08 2.2682426762615138e+08 2.2573223473933625e+08 2.2446006869978568e+08 2.2298158663322368e+08 2.2126796084199426e+08 2.1928794438478312e+08 2.1700832659321320e+08 2.1439476286895475e+08 2.1141300419438195e+08 2.0776196411307698e+08 2.0361427455358055e+08 1.9894596811382267e+08 1.9374874536979648e+08 1.8803565843121386e+08 1.8184626811289972e+08 1.7525002624275309e+08 1.6834645035169289e+08 1.6126109529598650e+08 1.5413591032605296e+08 1.4711638589993176e+08 1.4034085132453692e+08 1.3392863283096220e+08 1.2796225407506701e+08 1.2249052660758521e+08 1.1753334702714626e+08 1.1308325482921956e+08 1.0911588203847350e+08 1.0559505857191552e+08 1.0248357167930417e+08 9.9739947751376256e+07 9.7329279934806272e+07 9.5215120401809439e+07 9.3370898282059386e+07 9.1767945528696477e+07 9.0381770327658519e+07 8.9193408042869866e+07 8.8181865780363485e+07 8.7326805145990804e+07 8.6613587975542188e+07 8.6023359294377610e+07 8.5543022395640582e+07 8.5157092074793875e+07 8.4852585153366700e+07 8.4611522750501469e+07 8.4416208136738405e+07 8.4253908271220207e+07 8.4112270564618587e+07 8.3978750862066865e+07 8.3884309161422119e+07 8.3788963079077199e+07 8.3691682512820765e+07 8.3589792949958727e+07 8.3484684048985943e+07 8.3373296464413062e+07 8.3259564957984239e+07 8.3133069534069300e+07 8.2997692794942707e+07 8.2850943724867076e+07 8.2690877153838828e+07 8.2515129367999732e+07 8.2321037593640104e+07 8.2104738996586457e+07 8.1866887298585325e+07 8.1598191007107228e+07 8.1296936121981561e+07 8.0958751525847912e+07 8.0578933191310361e+07 8.0152630063608184e+07 7.9674976323901296e+07 7.9140554830627874e+07 7.8550301843767345e+07 7.7893592300173178e+07 7.7172808954874501e+07 7.6389619141052172e+07 7.5550165850248113e+07 7.4664900976682752e+07 7.3753718563380927e+07 7.2846189352373496e+07 7.1990994847617552e+07 7.1248819636390895e+07 7.0715261095267743e+07 7.0523288287533969e+07 7.0866264478710011e+07 7.2025457212750033e+07 7.4427100930599347e+07 7.8745912562088460e+07 8.6119162806234255e+07 1.8185585744531702e+07 +9.4354784928310202e+00 2.3244242956738624e+08 2.3241951095349625e+08 2.3238073387079084e+08 2.3232953561167598e+08 2.3227745713417804e+08 2.3224277666541624e+08 2.3223376158878461e+08 2.3223648390670726e+08 2.3223646490638509e+08 2.3223021692313591e+08 2.3221872915234190e+08 2.3220148367349172e+08 2.3217723754798913e+08 2.3214480630420992e+08 2.3210299226541817e+08 2.3205029109750536e+08 2.3198491113335502e+08 2.3190479880087882e+08 2.3180755542909974e+08 2.3169033105239826e+08 2.3154977173624480e+08 2.3138183146850616e+08 2.3118072579607245e+08 2.3093646983295286e+08 2.3063920551098382e+08 2.3028408631709859e+08 2.2986437814065653e+08 2.2936996443857470e+08 2.2878863487417302e+08 2.2810626715184221e+08 2.2730668120117101e+08 2.2637143263161409e+08 2.2527962301090989e+08 2.2400775418486586e+08 2.2252966686974710e+08 2.2081656397790158e+08 2.1883723783459750e+08 2.1655852751943484e+08 2.1394615041543511e+08 2.1096593330124447e+08 2.0731704872401261e+08 2.0317215925337201e+08 1.9850744274663594e+08 1.9331475187324587e+08 1.8760728399627185e+08 1.8142471912891534e+08 1.7483657911957258e+08 1.6794237920480433e+08 1.6086758191810825e+08 1.5375395096508408e+08 1.4674671038275674e+08 1.3998385952285284e+08 1.3358436735253580e+08 1.2763043909424639e+08 1.2217062120375632e+08 1.1722461009792764e+08 1.1278482559086707e+08 1.0882684424307199e+08 1.0531449607728496e+08 1.0221059385747294e+08 9.9473721550714508e+07 9.7069027018862575e+07 9.4960133611956507e+07 9.3120522132035658e+07 9.1521588384876728e+07 9.0138896842756346e+07 8.8953526284246325e+07 8.7944535455286264e+07 8.7091636518212393e+07 8.6380226946670741e+07 8.5791500080597028e+07 8.5312390783680201e+07 8.4927452696020275e+07 8.4623734116890833e+07 8.4383301065091386e+07 8.4188501628501967e+07 8.4026633545592636e+07 8.3885374976639599e+07 8.3752214332447246e+07 8.3658027140817344e+07 8.3562938177689463e+07 8.3465920021863073e+07 8.3364305329809070e+07 8.3259479992762506e+07 8.3148393042125478e+07 8.3034967974849135e+07 8.2908813809119418e+07 8.2773802285696611e+07 8.2627449108310625e+07 8.2467814354070887e+07 8.2292540685463607e+07 8.2098972511562690e+07 8.1883257546971560e+07 8.1646047111675516e+07 8.1378075669221118e+07 8.1077633460950658e+07 8.0740361160742775e+07 8.0361567430487782e+07 7.9936414301476195e+07 7.9460049080706075e+07 7.8927069363594681e+07 7.8338408270441949e+07 7.7683470258523077e+07 7.6964631287034586e+07 7.6183554191637859e+07 7.5346365392811358e+07 7.4463488590380594e+07 7.3554764162277460e+07 7.2649683196018174e+07 7.1796795310667232e+07 7.1056622182263628e+07 7.0524502969710335e+07 7.0333048155948222e+07 7.0675099179408878e+07 7.1831164903039470e+07 7.4226330036115915e+07 7.8533491594336510e+07 8.5886851653251782e+07 1.8124065785853617e+07 +9.4404468156052790e+00 2.3198931183171806e+08 2.3196643741047478e+08 2.3192773269522840e+08 2.3187662925769103e+08 2.3182464248865330e+08 2.3179001404519239e+08 2.3178099518920484e+08 2.3178368575279096e+08 2.3178363461988673e+08 2.3177735964719158e+08 2.3176584662969941e+08 2.3174857717182001e+08 2.3172430906339398e+08 2.3169185809983125e+08 2.3165002659949616e+08 2.3159731043749520e+08 2.3153191815792286e+08 2.3145179625668457e+08 2.3135454612603262e+08 2.3123731797285247e+08 2.3109675813093898e+08 2.3092882111848694e+08 2.3072772415439498e+08 2.3048348543169421e+08 2.3018624542033303e+08 2.2983115606954128e+08 2.2941148747156259e+08 2.2891712756010824e+08 2.2833587057361853e+08 2.2765360011007613e+08 2.2685414393064716e+08 2.2591906805630666e+08 2.2482748784599921e+08 2.2355592329264259e+08 2.2207823880162513e+08 2.2036566798941612e+08 2.1838704253126433e+08 2.1610925131872505e+08 2.1349807374693790e+08 2.1051941237489298e+08 2.0687269985825381e+08 2.0273062818940127e+08 1.9806952012775448e+08 1.9288137992008802e+08 1.8717954949983960e+08 1.8100382725478327e+08 1.7442380414529392e+08 1.6753899221784785e+08 1.6047476092223206e+08 1.5337268791023925e+08 1.4637773063087544e+08 1.3962755871341965e+08 1.3324078445512362e+08 1.2729929543383408e+08 1.2185137390291137e+08 1.1691651698003681e+08 1.1248702554678689e+08 1.0853842128409013e+08 1.0503453472094938e+08 1.0193820440473256e+08 9.9208071999830902e+07 9.6809340150286630e+07 9.4705703360321775e+07 9.2870694091440782e+07 9.1275771930967554e+07 8.9896557564570457e+07 8.8714173130662963e+07 8.7707728927693039e+07 8.6856987585795522e+07 8.6147382157706797e+07 8.5560154204339832e+07 8.5082270108834237e+07 8.4698322284324437e+07 8.4395390455018863e+07 8.4155585456999093e+07 8.3961300110081658e+07 8.3799862880499303e+07 8.3658982622096226e+07 8.3526180245222837e+07 8.3432246999201477e+07 8.3337414585498124e+07 8.3240658258106962e+07 8.3139317827129379e+07 8.3034775424965546e+07 8.2923988440768525e+07 8.2810869134575382e+07 8.2685055470099941e+07 8.2550408352117479e+07 8.2404450189216629e+07 8.2245246293963060e+07 8.2070445690865606e+07 8.1877399955944732e+07 8.1662267328681007e+07 8.1425696735373348e+07 8.1158448534190014e+07 8.0858817200175121e+07 8.0522455172290146e+07 8.0144683773767218e+07 7.9720678092712566e+07 7.9245598532868207e+07 7.8714057393353909e+07 7.8126984664850652e+07 7.7473814255365521e+07 7.6756915345020950e+07 7.5977946282003209e+07 7.5143016952538595e+07 7.4262522924616888e+07 7.3356251029959232e+07 7.2453612877690852e+07 7.1603026497158393e+07 7.0864851010976538e+07 7.0334167934520841e+07 7.0143229965285465e+07 7.0484357872783437e+07 7.1637303521695584e+07 7.4026004439218521e+07 7.8321541762698025e+07 8.5655055753643990e+07 1.8062738954056922e+07 +9.4454151383795377e+00 2.3153662945378679e+08 2.3151379900601080e+08 2.3147516822774878e+08 2.3142415922042415e+08 2.3137226407478404e+08 2.3133768765850613e+08 2.3132866508812648e+08 2.3133132401776379e+08 2.3133124088495871e+08 2.3132493907285768e+08 2.3131340098571652e+08 2.3129610775474960e+08 2.3127181790521419e+08 2.3123934750477073e+08 2.3119749887514472e+08 2.3114476810927603e+08 2.3107936397217935e+08 2.3099923304086301e+08 2.3090197678514114e+08 2.3078474560284600e+08 2.3064418611442953e+08 2.3047625339346173e+08 2.3027516636035025e+08 2.3003094633712852e+08 2.2973373240204671e+08 2.2937867500543457e+08 2.2895904846979517e+08 2.2846474525476995e+08 2.2788356423644030e+08 2.2720139497888827e+08 2.2640207315350536e+08 2.2546717528017113e+08 2.2437583060015112e+08 2.2310457735111055e+08 2.2162730372455502e+08 2.1991527413450038e+08 2.1793735968917900e+08 2.1566049915471667e+08 2.1305053396941739e+08 2.1007344245447481e+08 2.0642891847370228e+08 2.0228968222589409e+08 1.9763220101750383e+08 1.9244863015526971e+08 1.8675245546147165e+08 1.8058359287617522e+08 1.7401170156689137e+08 1.6713628949848428e+08 1.6008263227946895e+08 1.5299212100502735e+08 1.4600944637288383e+08 1.3927194852524731e+08 1.3289788368544222e+08 1.2696882257521735e+08 1.2153278413737211e+08 1.1660906707002366e+08 1.1218985406842259e+08 1.0825061251684774e+08 1.0475517384795646e+08 1.0166640266026223e+08 9.8942998435218424e+07 9.6550218664540231e+07 9.4451828982695460e+07 9.2621413497184336e+07 9.1030495505123481e+07 8.9654751833000764e+07 8.8475347923573673e+07 8.7471445540698007e+07 8.6622857693376914e+07 8.5915052954656154e+07 8.5329321013157830e+07 8.4852659720008403e+07 8.4469700189816684e+07 8.4167553519125506e+07 8.3928375278824642e+07 8.3734602935171351e+07 8.3573595630703971e+07 8.3433092856740683e+07 8.3300647956994548e+07 8.3206968094122961e+07 8.3112391660559863e+07 8.3015896580473319e+07 8.2914829801530674e+07 8.2810569706078172e+07 8.2700082021624446e+07 8.2587267799331933e+07 8.2461793880024895e+07 8.2327510358428732e+07 8.2181946332891390e+07 8.2023172339950368e+07 8.1848843751953170e+07 8.1656319296095282e+07 8.1441767712620988e+07 8.1205835542551577e+07 8.0939308976835221e+07 8.0640486716757238e+07 8.0305032940350920e+07 7.9928281603747204e+07 7.9505420823154867e+07 7.9031624069969177e+07 7.8501518313804314e+07 7.7916030425183624e+07 7.7264623693881139e+07 7.6549660537639037e+07 7.5772794827001914e+07 7.4940119950686038e+07 7.4062003407280222e+07 7.3158178601251274e+07 7.2257977839285627e+07 7.1409687855623588e+07 7.0673505576728478e+07 7.0144255447982505e+07 6.9953833175203890e+07 7.0294040015966550e+07 7.1443872516991392e+07 7.3826123569748640e+07 7.8110062463883147e+07 8.5423774447784096e+07 1.8001604712842051e+07 +9.4503834611537965e+00 2.3108438786760733e+08 2.3106159930243218e+08 2.3102304154295641e+08 2.3097212693426585e+08 2.3092032338321707e+08 2.3088579900524086e+08 2.3087677278573656e+08 2.3087940019945508e+08 2.3087928519914055e+08 2.3087295669795418e+08 2.3086139371719268e+08 2.3084407691805130e+08 2.3081976556913289e+08 2.3078727601411679e+08 2.3074541058599359e+08 2.3069266560495517e+08 2.3062725006719336e+08 2.3054711064242300e+08 2.3044984889371964e+08 2.3033261542611513e+08 2.3019205716804290e+08 2.3002412977095699e+08 2.2982305388666254e+08 2.2957885401724169e+08 2.2928166791793647e+08 2.2892664457848093e+08 2.2850706258004814e+08 2.2801281895636451e+08 2.2743171728424048e+08 2.2674965316511750e+08 2.2595047025982574e+08 2.2501575567213973e+08 2.2392465261929327e+08 2.2265371767827666e+08 2.2117686292387787e+08 2.1946538366110522e+08 2.1748819051266539e+08 2.1521227218157947e+08 2.1260353217847222e+08 2.0962802456955016e+08 2.0598570551849273e+08 2.0184932221869701e+08 1.9719548616748601e+08 1.9201650321490169e+08 1.8632600239218435e+08 1.8016401637062612e+08 1.7360027162374645e+08 1.6673427114674339e+08 1.5969119595455846e+08 1.5261225008698890e+08 1.4564185733180949e+08 1.3891702858241314e+08 1.3255566458570822e+08 1.2663901999607185e+08 1.2121485133579502e+08 1.1630225976105736e+08 1.1189331052469610e+08 1.0796341729410356e+08 1.0447641280096337e+08 1.0139518796115391e+08 9.8678500191061661e+07 9.6291661895159900e+07 9.4198509812987149e+07 9.2372679684160590e+07 9.0785758443792924e+07 8.9413478986017197e+07 8.8237050002645344e+07 8.7235684635653421e+07 8.6389246183889776e+07 8.5683238682056054e+07 8.5098999853023008e+07 8.4623558964581922e+07 8.4241585761319220e+07 8.3940222659144133e+07 8.3701669881622493e+07 8.3508409455913827e+07 8.3347831149406746e+07 8.3207705034781575e+07 8.3075616823067203e+07 8.2982189781418175e+07 8.2887868759635597e+07 8.2791634346242964e+07 8.2690840611294150e+07 8.2586862195050895e+07 8.2476673144537792e+07 8.2364163329866946e+07 8.2239028400614187e+07 8.2105107667309970e+07 8.1959936903253108e+07 8.1801591857184097e+07 8.1627734235342368e+07 8.1435729900056288e+07 8.1221758068455726e+07 8.0986462904574588e+07 8.0720656370657519e+07 8.0422641386558592e+07 8.0088093843188927e+07 7.9712360301763713e+07 7.9290641877423272e+07 7.8818125080231398e+07 7.8289451517137870e+07 7.7705544948331058e+07 7.7055897975988150e+07 7.6342866272277281e+07 7.5568099240051448e+07 7.4737673807164460e+07 7.3861929465155035e+07 7.2960546309968695e+07 7.2062777521515250e+07 7.1216778833235636e+07 7.0482585332412913e+07 6.9954764967151687e+07 6.9764857244262382e+07 7.0104145064885110e+07 7.1250871335833609e+07 7.3626686856252924e+07 7.7899053093392000e+07 8.5193007074377701e+07 1.7940662527063631e+07 +9.4553517839280552e+00 2.3063258421438915e+08 2.3060983871183559e+08 2.3057135452344057e+08 2.3052053384267133e+08 2.3046882189227900e+08 2.3043434957507530e+08 2.3042531977215320e+08 2.3042791578516960e+08 2.3042776904946563e+08 2.3042141400896826e+08 2.3040982631034774e+08 2.3039248614788499e+08 2.3036815354007646e+08 2.3033564511162594e+08 2.3029376321560800e+08 2.3024100440673557e+08 2.3017557792306358e+08 2.3009543054000789e+08 2.2999816392792490e+08 2.2988092891665110e+08 2.2974037276235712e+08 2.2957245171819785e+08 2.2937138819632024e+08 2.2912720992949930e+08 2.2883005341873705e+08 2.2847506623249811e+08 2.2805553123720154e+08 2.2756135008902174e+08 2.2698033112863821e+08 2.2629837606541684e+08 2.2549933662854227e+08 2.2456481059166420e+08 2.2347395523849133e+08 2.2220334558159104e+08 2.2072691767512751e+08 2.1901599780678356e+08 2.1703953619595674e+08 2.1476457154305279e+08 2.1215706946037433e+08 2.0918315973988578e+08 2.0554306193107450e+08 2.0140954901351294e+08 1.9675937631963024e+08 1.9158499972632378e+08 1.8590019079407594e+08 1.7974509810767177e+08 1.7318951454748467e+08 1.6633293725537285e+08 1.5930045190555710e+08 1.5223307498768196e+08 1.4527496322516298e+08 1.3856279850400448e+08 1.3221412669383258e+08 1.2630988717003827e+08 1.2089757492309248e+08 1.1599609444314019e+08 1.1159739428122288e+08 1.0767683496563341e+08 1.0419825092016755e+08 1.0112455964212999e+08 9.8414576599619895e+07 9.6033669173546150e+07 9.3945745183252797e+07 9.2124491985517606e+07 9.0541560081790179e+07 8.9172738360146403e+07 8.7999278706046835e+07 8.7000445552402735e+07 8.6156152398879841e+07 8.5451938682922140e+07 8.4869190068413004e+07 8.4394967188480765e+07 8.4013978345954373e+07 8.3713397223605499e+07 8.3475468615044832e+07 8.3282719023072302e+07 8.3122568788401574e+07 8.2982818508941799e+07 8.2851086197125524e+07 8.2757911415519983e+07 8.2663845237871885e+07 8.2567870911512271e+07 8.2467349613119602e+07 8.2363652249489352e+07 8.2253761167968228e+07 8.2141555085459411e+07 8.2016758392111227e+07 8.1883199640070274e+07 8.1738421262633279e+07 8.1580504209269926e+07 8.1407116505954757e+07 8.1215631134239852e+07 8.1002237764426678e+07 8.0767578191420108e+07 8.0502490087648839e+07 8.0205280583975315e+07 7.9871637257885635e+07 7.9496919247732431e+07 7.9076340638777584e+07 7.8605100950557783e+07 7.8077856394456893e+07 7.7495527629816532e+07 7.6847636502318427e+07 7.6136531955077365e+07 7.5363858933321580e+07 7.4535677940617979e+07 7.3662300523630217e+07 7.2763353588543892e+07 7.1868011363789275e+07 7.1024298876143560e+07 7.0292089729807615e+07 6.9765695947779864e+07 6.9576301629741073e+07 6.9914672474158213e+07 7.1058299423992097e+07 7.3427693725951567e+07 7.7688513045076072e+07 8.4962752970678270e+07 1.7879911862729643e+07 +9.4603201067023139e+00 2.3018122220497161e+08 2.3015851852922061e+08 2.3012010852270901e+08 2.3006938145467144e+08 2.3001776107289201e+08 2.2998334084724927e+08 2.2997430752741519e+08 2.2997687225223190e+08 2.2997669391284350e+08 2.2997031248253369e+08 2.2995870024131387e+08 2.2994133691953903e+08 2.2991698329271907e+08 2.2988445627148527e+08 2.2984255823660710e+08 2.2978978598610774e+08 2.2972434901014075e+08 2.2964419420171976e+08 2.2954692335376695e+08 2.2942968753806183e+08 2.2928913435803479e+08 2.2912122069172132e+08 2.2892017074194440e+08 2.2867601552138627e+08 2.2837889034597564e+08 2.2802394140054792e+08 2.2760445586524132e+08 2.2711034006628737e+08 2.2652940717044756e+08 2.2584756506635761e+08 2.2504867362892658e+08 2.2411434138768861e+08 2.2302373978321597e+08 2.2175346235890079e+08 2.2027746924370539e+08 2.1856711779964030e+08 2.1659139792334783e+08 2.1431739837333569e+08 2.1171114689135033e+08 2.0873884897544193e+08 2.0510098863999245e+08 2.0097036344716823e+08 1.9632387220717606e+08 1.9115412030788228e+08 1.8547502116104227e+08 1.7932683844846064e+08 1.7277943056204432e+08 1.6593228791044158e+08 1.5891040008366355e+08 1.5185459553238219e+08 1.4490876376487103e+08 1.3820925790434736e+08 1.3187326954338479e+08 1.2598142356679289e+08 1.2058095432098182e+08 1.1569057050308847e+08 1.1130210470101500e+08 1.0739086487891120e+08 1.0392068754337448e+08 1.0085451703566411e+08 9.8151226990988418e+07 9.5776239829355448e+07 9.3693534423581302e+07 9.1876849732647330e+07 9.0297899751963705e+07 8.8932529290098548e+07 8.7762033370296106e+07 8.6765727629133672e+07 8.5923575678235844e+07 8.5221152298794329e+07 8.4639891002411887e+07 8.4166883736128882e+07 8.3786877289556384e+07 8.3487076559439674e+07 8.3249770827198356e+07 8.3057530985953584e+07 8.2897807898101464e+07 8.2758432630666271e+07 8.2627055431522429e+07 8.2534132349615529e+07 8.2440320449029371e+07 8.2344605630765915e+07 8.2244356162364528e+07 8.2140939225481838e+07 8.2031345448923528e+07 8.1919442423943803e+07 8.1794983213457733e+07 8.1661785636613727e+07 8.1517398772110999e+07 8.1359908758520067e+07 8.1186989927381396e+07 8.0996022363824308e+07 8.0783206167246133e+07 8.0549180771705598e+07 8.0284809498720020e+07 7.9988403681989610e+07 7.9655662560047403e+07 7.9281957820263073e+07 7.8862516488969952e+07 7.8392551066497162e+07 7.7866732335341260e+07 7.7285977863841400e+07 7.6639838672108933e+07 7.5930656990908116e+07 7.5160073317644864e+07 7.4334131768272668e+07 7.3463116006930560e+07 7.2566599868115291e+07 7.1673678804361582e+07 7.0832247428994164e+07 7.0102018219385892e+07 6.9577047844618097e+07 6.9388165787779927e+07 6.9725621697284639e+07 7.0866156225970745e+07 7.3229143604925990e+07 7.7478441711808935e+07 8.4733011472621560e+07 1.7819352187000666e+07 +9.4652884294765727e+00 2.2973029970930943e+08 2.2970764113208422e+08 2.2966930464049712e+08 2.2961867134196511e+08 2.2956714239171568e+08 2.2953277428904581e+08 2.2952373752165255e+08 2.2952627106718838e+08 2.2952606125585634e+08 2.2951965358535337e+08 2.2950801697588351e+08 2.2949063069853267e+08 2.2946625629209468e+08 2.2943371095770866e+08 2.2939179711188811e+08 2.2933901180476075e+08 2.2927356478829965e+08 2.2919340308604378e+08 2.2909612862760276e+08 2.2897889274365583e+08 2.2883834340551767e+08 2.2867043813857746e+08 2.2846940296585581e+08 2.2822527222987157e+08 2.2792818012976497e+08 2.2757327150599578e+08 2.2715383787838200e+08 2.2665979029175761e+08 2.2607894680090079e+08 2.2539722154381838e+08 2.2459848262016821e+08 2.2366434939871338e+08 2.2257400756850442e+08 2.2130406929766220e+08 2.1982851888482779e+08 2.1811874485762909e+08 2.1614377686936721e+08 2.1387075379666385e+08 2.1126576553801644e+08 2.0829509327695543e+08 2.0465948656506923e+08 2.0053176634690940e+08 1.9588897455385458e+08 1.9072386556905115e+08 1.8505049397849259e+08 1.7890923774624583e+08 1.7237001988364390e+08 1.6553232319054887e+08 1.5852104043379396e+08 1.5147681154055315e+08 1.4454325865756130e+08 1.3785640639283317e+08 1.3153309266330488e+08 1.2565362865199798e+08 1.2026498894751593e+08 1.1538568732471269e+08 1.1100744114432684e+08 1.0710550637866135e+08 1.0364372200618559e+08 1.0058505947218876e+08 9.7888450693173036e+07 9.5519373190044656e+07 9.3441876862209424e+07 9.1629752255208582e+07 9.0054776785652891e+07 8.8692851109007344e+07 8.7525313330427751e+07 8.6531530202649370e+07 8.5691515360371560e+07 8.4990878869631797e+07 8.4411101996490762e+07 8.3939307950463265e+07 8.3560281936457843e+07 8.3261260012344927e+07 8.3024575864947498e+07 8.2832844692495033e+07 8.2673547827381372e+07 8.2534546749878585e+07 8.2403523877266914e+07 8.2310851935322925e+07 8.2217293745557219e+07 8.2121837857167512e+07 8.2021859612886950e+07 8.1918722477846086e+07 8.1809425342989445e+07 8.1697824701858625e+07 8.1573702222049907e+07 8.1440865015465826e+07 8.1296868791367367e+07 8.1139804865776002e+07 8.0967353861941844e+07 8.0776902952543557e+07 8.0564662642333910e+07 8.0331270012773544e+07 8.0067613972965375e+07 7.9772010052241355e+07 7.9440169123942405e+07 7.9067475396481767e+07 7.8649168808571488e+07 7.8180474812223166e+07 7.7656078728152394e+07 7.7076895043294534e+07 7.6432503883290336e+07 7.5725240783243686e+07 7.4956741802691907e+07 7.4133034706358433e+07 7.3264375337869659e+07 7.2370284578701064e+07 7.1479779280153975e+07 7.0640623935444623e+07 6.9912370250455528e+07 6.9388820110923901e+07 6.9200449173238218e+07 6.9536992186519593e+07 7.0674441185104623e+07 7.3031035917842999e+07 7.7268838484827533e+07 8.4503781914401159e+07 1.7758982968189165e+07 +9.4702567522508314e+00 2.2927982236831492e+08 2.2925720773116609e+08 2.2921894396806428e+08 2.2916840505894682e+08 2.2911696731050128e+08 2.2908265135690480e+08 2.2907361121442232e+08 2.2907611368697661e+08 2.2907587253519073e+08 2.2906943877300352e+08 2.2905777796961510e+08 2.2904036893966886e+08 2.2901597399211043e+08 2.2898341062325057e+08 2.2894148129382011e+08 2.2888868331372404e+08 2.2882322670739344e+08 2.2874305864078590e+08 2.2864578119503468e+08 2.2852854597674102e+08 2.2838800134477171e+08 2.2822010549513412e+08 2.2801908629992503e+08 2.2777498148197532e+08 2.2747792419104567e+08 2.2712305796167690e+08 2.2670367868029514e+08 2.2620970215858358e+08 2.2562895140070716e+08 2.2494734686446968e+08 2.2414876495089883e+08 2.2321483595361537e+08 2.2212475989937809e+08 2.2085516767511818e+08 2.1938006784384614e+08 2.1767088018831739e+08 2.1569667419835690e+08 2.1342463892728952e+08 2.1082092645678324e+08 2.0785189363485071e+08 2.0421855661606449e+08 2.0009375853077409e+08 1.9545468407475618e+08 1.9029423611070669e+08 1.8462660972302073e+08 1.7849229634636167e+08 1.7196128272123834e+08 1.6513304316710678e+08 1.5813237289418441e+08 1.5109972282555458e+08 1.4417844760442472e+08 1.3750424357385752e+08 1.3119359557846028e+08 1.2532650188791512e+08 1.1994967821735737e+08 1.1508144428851815e+08 1.1071340296833345e+08 1.0682075880698434e+08 1.0336735364144558e+08 1.0031618627974519e+08 9.7626247032246187e+07 9.5263068581292555e+07 9.3190771825642809e+07 9.1383198880961791e+07 8.9812190512522236e+07 8.8453703148373753e+07 8.7289117919657513e+07 8.6297852608119413e+07 8.5459970782233879e+07 8.4761117733971193e+07 8.4182822390813321e+07 8.3712239173130751e+07 8.3334191629662439e+07 8.3035946926483721e+07 8.2799883073613524e+07 8.2608659489126325e+07 8.2449787923794672e+07 8.2311160215114355e+07 8.2180490883857325e+07 8.2088069522864699e+07 8.1994764478540495e+07 8.1899566942468554e+07 8.1799859317345843e+07 8.1697001359909087e+07 8.1588000204443872e+07 8.1476701274302408e+07 8.1352914773940146e+07 8.1220437133764476e+07 8.1076830678661749e+07 8.0920191890597016e+07 8.0748207670398250e+07 8.0558272262713447e+07 8.0346606553826973e+07 8.0113845280399278e+07 7.9850902878477469e+07 7.9556099065054581e+07 7.9225156322495043e+07 7.8853471352236599e+07 7.8436296976661608e+07 7.7968871570610166e+07 7.7445894959931314e+07 7.6868278559695080e+07 7.6225631532576263e+07 7.5520282734379172e+07 7.4753863796711579e+07 7.3932386169609055e+07 7.3066077938242063e+07 7.2174407148964047e+07 7.1286312226943746e+07 7.0449427837750778e+07 6.9723145271145612e+07 6.9201012199078023e+07 6.9013151239954442e+07 6.9348783392942041e+07 7.0483153743543789e+07 7.2833370088247791e+07 7.7059702754273161e+07 8.4275063629118636e+07 1.7698803675758570e+07 +9.4752250750250901e+00 2.2882979119732651e+08 2.2880721996933183e+08 2.2876902822630855e+08 2.2871858404462785e+08 2.2866723728395763e+08 2.2863297349520913e+08 2.2862393005460927e+08 2.2862640155792633e+08 2.2862612919678998e+08 2.2861966949189344e+08 2.2860798466797143e+08 2.2859055308820891e+08 2.2856613783740693e+08 2.2853355671190965e+08 2.2849161222479266e+08 2.2843880195412084e+08 2.2837333620679170e+08 2.2829316230350581e+08 2.2819588249145070e+08 2.2807864867021197e+08 2.2793810960561535e+08 2.2777022418755317e+08 2.2756922216652343e+08 2.2732514469421935e+08 2.2702812394015911e+08 2.2667330217042458e+08 2.2625397966513699e+08 2.2576007705014193e+08 2.2517942234065846e+08 2.2449794238388270e+08 2.2369952196016079e+08 2.2276580237102571e+08 2.2167599807102439e+08 2.2040675875898814e+08 2.1893211735592014e+08 2.1722352498986691e+08 2.1525009106512854e+08 2.1297905486991623e+08 2.1037663069507214e+08 2.0740925103066364e+08 2.0377819969337860e+08 1.9965634080756354e+08 1.9502100147562212e+08 1.8986523252504179e+08 1.8420336886335224e+08 1.7807601458560225e+08 1.7155321927585694e+08 1.6473444790482295e+08 1.5774439739651570e+08 1.5072332919481778e+08 1.4381433030134216e+08 1.3715276904709712e+08 1.3085477780945624e+08 1.2500004273232219e+08 1.1963502154158895e+08 1.1477784077202703e+08 1.1041998952749106e+08 1.0653662150368163e+08 1.0309158178002234e+08 1.0004789678421018e+08 9.7364615331946805e+07 9.5007325326842710e+07 9.2940218638379321e+07 9.1137188936100796e+07 8.9570140260403723e+07 8.8215084738051906e+07 8.7053446469928443e+07 8.6064694179160848e+07 8.5228941279181123e+07 8.4531868228917480e+07 8.3955051524018154e+07 8.3485676744168088e+07 8.3108605710575342e+07 8.2811136644589812e+07 8.2575691797209084e+07 8.2384974721013248e+07 8.2226527533573121e+07 8.2088272373528570e+07 8.1957955799451664e+07 8.1865784461199060e+07 8.1772731997460663e+07 8.1677792237063140e+07 8.1578354626856014e+07 8.1475775223612890e+07 8.1367069386073172e+07 8.1256071494951099e+07 8.1132620223864287e+07 8.1000501347240105e+07 8.0857283790780172e+07 8.0701069191069111e+07 8.0529550712427109e+07 8.0340129655446827e+07 8.0129037264340281e+07 7.9896905939184234e+07 7.9634675581794754e+07 7.9340670089368731e+07 7.9010623527302206e+07 7.8639945062199444e+07 7.8223900371238276e+07 7.7757740723214194e+07 7.7236180416302338e+07 7.6660127803387046e+07 7.6019221015277922e+07 7.5315782245278537e+07 7.4551438706739470e+07 7.3732185571508005e+07 7.2868223228422821e+07 7.1978967006491393e+07 7.1093277079328552e+07 7.0258658577241838e+07 6.9534342728436738e+07 6.9013623560157895e+07 6.8826271440459639e+07 6.9160994766509041e+07 7.0292293342169136e+07 7.2636145538491488e+07 7.6851033908909604e+07 8.4046855948166206e+07 1.7638813780322544e+07 +9.4801933977993489e+00 2.2838020860086790e+08 2.2835768022527456e+08 2.2831955923866820e+08 2.2826920962964201e+08 2.2821795375682878e+08 2.2818374213775772e+08 2.2817469548045844e+08 2.2817713611627474e+08 2.2817683267708611e+08 2.2817034717759979e+08 2.2815863850616106e+08 2.2814118457857808e+08 2.2811674926166746e+08 2.2808415065679410e+08 2.2804219133687559e+08 2.2798936915698659e+08 2.2792389471590403e+08 2.2784371550184152e+08 2.2774643394237071e+08 2.2762920224704802e+08 2.2748866960782436e+08 2.2732079563215354e+08 2.2711981197704813e+08 2.2687576327341256e+08 2.2657878077740523e+08 2.2622400552489239e+08 2.2580474221635675e+08 2.2531091633917183e+08 2.2473036098108009e+08 2.2404900944814953e+08 2.2325075497650069e+08 2.2231724995968744e+08 2.2122772336852124e+08 2.1995884380672139e+08 2.1848466864675450e+08 2.1677668045021352e+08 2.1480402861444578e+08 2.1253400271941707e+08 2.0993287928985208e+08 2.0696716643580058e+08 2.0333841668838304e+08 1.9921951397683373e+08 1.9458792745332837e+08 1.8943685539521089e+08 1.8378077185941344e+08 1.7766039279337826e+08 1.7114582974112019e+08 1.6433653746113831e+08 1.5735711386609337e+08 1.5034763045007223e+08 1.4345090643865794e+08 1.3680198240751246e+08 1.3051663887218292e+08 1.2467425063964586e+08 1.1932101832799478e+08 1.1447487614970089e+08 1.1012720017365441e+08 1.0625309380576640e+08 1.0281640575023997e+08 9.9780190309331462e+07 9.7103554914355114e+07 9.4752142748383075e+07 9.2690216623305559e+07 9.0891721744963139e+07 8.9328625355622038e+07 8.7976995206306100e+07 8.6818298311419562e+07 8.5832054247918695e+07 8.4998426185191035e+07 8.4303129690109834e+07 8.3727788733276770e+07 8.3259620002377316e+07 8.2883523519303709e+07 8.2586828508094132e+07 8.2352001378212661e+07 8.2161789731783554e+07 8.2003766001442373e+07 8.1865882570859790e+07 8.1735917970878497e+07 8.1643996097824365e+07 8.1551195650697604e+07 8.1456513089984506e+07 8.1357344891281247e+07 8.1255043419716433e+07 8.1146632239446670e+07 8.1035934716271952e+07 8.0912817925204739e+07 8.0781057010319024e+07 8.0638227483440906e+07 8.0482436124064445e+07 8.0311382346067369e+07 8.0122474490368381e+07 7.9911954135281146e+07 7.9680451352336660e+07 7.9418931448270768e+07 7.9125722492931738e+07 7.8796570108638704e+07 7.8426895899469241e+07 7.8011978368693754e+07 7.7547081650242537e+07 7.7026934481825665e+07 7.6452442163336203e+07 7.5813271725574255e+07 7.5111738715628266e+07 7.4349465938667297e+07 7.3532432324559972e+07 7.2670810627626434e+07 7.1783963577599689e+07 7.0900673270602956e+07 7.0068315593926191e+07 6.9345962068091318e+07 6.8826653644145891e+07 6.8639809226203009e+07 6.8973625755990416e+07 7.0101859420758218e+07 7.2439361689549819e+07 7.6642831336235374e+07 8.3819158201763228e+07 1.7579012753644157e+07 +9.4851617205736076e+00 2.2793107227593473e+08 2.2790858762088776e+08 2.2787053846217158e+08 2.2782028315276989e+08 2.2776911816303256e+08 2.2773495870730665e+08 2.2772590891980603e+08 2.2772831878837934e+08 2.2772798440208647e+08 2.2772147325583696e+08 2.2770974090920925e+08 2.2769226483584890e+08 2.2766780968904576e+08 2.2763519388097152e+08 2.2759322005219924e+08 2.2754038634291041e+08 2.2747490365421745e+08 2.2739471965330148e+08 2.2729743696340662e+08 2.2718020811966395e+08 2.2703968276141772e+08 2.2687182123492542e+08 2.2667085713365281e+08 2.2642683861599439e+08 2.2612989609275460e+08 2.2577516940739524e+08 2.2535596770758161e+08 2.2486222138898051e+08 2.2428176867262971e+08 2.2360054939333877e+08 2.2280246531877685e+08 2.2186918001763603e+08 2.2077993706665847e+08 2.1951142406563863e+08 2.1803772293144560e+08 2.1633034774763104e+08 2.1435848798110312e+08 2.1208948356074452e+08 2.0948967326917878e+08 2.0652564081262037e+08 2.0289920848241237e+08 1.9878327882914302e+08 1.9415546269589645e+08 1.8900910529590282e+08 1.8335881916314062e+08 1.7724543129083312e+08 1.7073911430339336e+08 1.6393931188648072e+08 1.5697052222173011e+08 1.4997262638677990e+08 1.4308817570161805e+08 1.3645188324524441e+08 1.3017917827867071e+08 1.2434912506023580e+08 1.1900766798099360e+08 1.1417254979288253e+08 1.0983503425576048e+08 1.0597017504783741e+08 1.0254182487819737e+08 9.9513066176842809e+07 9.6843065099298567e+07 9.4497520165888682e+07 9.2440765101386473e+07 9.0646796630212069e+07 8.9087645122829989e+07 8.7739433879912406e+07 8.6583672772852793e+07 8.5599932145095363e+07 8.4768424832856625e+07 8.4074901451691419e+07 8.3501033354530931e+07 8.3034068285041139e+07 8.2658944394696578e+07 8.2363021857045949e+07 8.2128811157983258e+07 8.1939103863867149e+07 8.1781502670846879e+07 8.1643990151674062e+07 8.1514376743585214e+07 8.1422703778930143e+07 8.1330154785094291e+07 8.1235728848904982e+07 8.1136829459022015e+07 8.1034805297332853e+07 8.0926688114688098e+07 8.0816290289198846e+07 8.0693507229973868e+07 8.0562103476104915e+07 8.0419661110802799e+07 8.0264292044964612e+07 8.0093701928180486e+07 7.9905306125866786e+07 7.9695356526683837e+07 7.9464480881682053e+07 7.9203669841850266e+07 7.8911255641914025e+07 7.8582995435433671e+07 7.8214323236039236e+07 7.7800530344379023e+07 7.7336893730819657e+07 7.6818156539488181e+07 7.6245221027268007e+07 7.5607783056306645e+07 7.4908151543912306e+07 7.4147944897007853e+07 7.3333125839808375e+07 7.2473839553925708e+07 7.1589396287350014e+07 7.0708500233070493e+07 6.9878398326607615e+07 6.9158002734781325e+07 6.8640101899752662e+07 6.8453764047556043e+07 6.8786675809080929e+07 6.9911851417957827e+07 7.2243017961407736e+07 7.6435094422457218e+07 8.3591969718647763e+07 1.7519400068635039e+07 +9.4901300433478664e+00 2.2748238447931877e+08 2.2745994311521479e+08 2.2742196744901344e+08 2.2737180602864563e+08 2.2732073192544892e+08 2.2728662461773106e+08 2.2727757178913516e+08 2.2727995099020311e+08 2.2727958578747523e+08 2.2727304914223251e+08 2.2726129329252845e+08 2.2724379527393949e+08 2.2721932053321180e+08 2.2718668779733881e+08 2.2714469978265372e+08 2.2709185492247602e+08 2.2702636443051326e+08 2.2694617616518629e+08 2.2684889295924476e+08 2.2673166769090539e+08 2.2659115046563849e+08 2.2642330239174810e+08 2.2622235902751252e+08 2.2597837210821682e+08 2.2568147126640770e+08 2.2532679519056991e+08 2.2490765750232747e+08 2.2441399355219328e+08 2.2383364675579140e+08 2.2315256354480386e+08 2.2235465429572710e+08 2.2142159383420891e+08 2.2033264043057424e+08 2.1906450077369186e+08 2.1759128141588423e+08 2.1588452805041236e+08 2.1391347029052940e+08 2.1164549846939731e+08 2.0904701365104392e+08 2.0608467511372310e+08 2.0246057594805244e+08 1.9834763614544651e+08 1.9372360788221502e+08 1.8858198279314530e+08 1.8293751121785161e+08 1.7683113039150146e+08 1.7033307314112273e+08 1.6354277122447503e+08 1.5658462237590960e+08 1.4959831679492608e+08 1.4272613777007648e+08 1.3610247114547610e+08 1.2984239553671978e+08 1.2402466544086477e+08 1.1869496990159936e+08 1.1387086107003316e+08 1.0954349111993739e+08 1.0568786456212853e+08 1.0226783848774263e+08 9.9246523706199318e+07 9.6583145204679921e+07 9.4243456897456929e+07 9.2191863391896486e+07 9.0402412912919089e+07 8.8847198885037541e+07 8.7502400083940476e+07 8.6349569181493402e+07 8.5368327199819610e+07 8.4538936553061336e+07 8.3847182846510917e+07 8.3274784722031519e+07 8.2809020928112715e+07 8.2434867673970610e+07 8.2139716030107692e+07 8.1906120476326570e+07 8.1716916458253890e+07 8.1559736883853063e+07 8.1422594458983123e+07 8.1293331461586475e+07 8.1201906849270388e+07 8.1109608746272758e+07 8.1015438860116363e+07 8.0916807677231669e+07 8.0815060204586044e+07 8.0707236360671222e+07 8.0597137563500404e+07 8.0474687488877565e+07 8.0343640096310139e+07 8.0201584025731459e+07 8.0046636308030501e+07 7.9876508814386263e+07 7.9688623918896705e+07 7.9479243797312856e+07 7.9248993887932345e+07 7.8988890125329494e+07 7.8697268901461929e+07 7.8369898875439897e+07 7.8002226442541197e+07 7.7589555672220379e+07 7.7127176342516482e+07 7.6609845971290305e+07 7.6038463781793445e+07 7.5402754399080649e+07 7.4705020127442136e+07 7.3946874985165060e+07 7.3134265527196333e+07 7.2277309424166411e+07 7.1395264559740022e+07 7.0516757397753373e+07 6.9688906213011384e+07 6.8970464172009513e+07 6.8453967774788678e+07 6.8268135353666484e+07 6.8600144372208938e+07 6.9722268771147892e+07 7.2047113772706062e+07 7.6227822552520648e+07 8.3365289826181948e+07 1.7459975199354544e+07 +9.4950983661221251e+00 2.2703414912922871e+08 2.2701175006405255e+08 2.2697384742161193e+08 2.2692377969264200e+08 2.2687279645772693e+08 2.2683874127316937e+08 2.2682968549459511e+08 2.2683203412794054e+08 2.2683163823917124e+08 2.2682507624238816e+08 2.2681329706067851e+08 2.2679577729761654e+08 2.2677128319774318e+08 2.2673863380883533e+08 2.2669663192988250e+08 2.2664377629656729e+08 2.2657827844437584e+08 2.2649808643464851e+08 2.2640080332537949e+08 2.2628358235339692e+08 2.2614307410992795e+08 2.2597524048820201e+08 2.2577431904027179e+08 2.2553036512675592e+08 2.2523350766837272e+08 2.2487888423689193e+08 2.2445981295394138e+08 2.2396623417190304e+08 2.2338599656127936e+08 2.2270505321899280e+08 2.2190732320591629e+08 2.2097449268763483e+08 2.1988583471547455e+08 2.1861807515822849e+08 2.1714534529555535e+08 2.1543922251722595e+08 2.1346897665821233e+08 2.1120204851097217e+08 2.0860490144411206e+08 2.0564427028211993e+08 2.0202251994838488e+08 1.9791258669793490e+08 1.9329236368253604e+08 1.8815548844460475e+08 1.8251684845878884e+08 1.7641749040059671e+08 1.6992770642587033e+08 1.6314691551184648e+08 1.5619941423453131e+08 1.4922470145855844e+08 1.4236479231855029e+08 1.3575374568906176e+08 1.2950629014967915e+08 1.2370087122443643e+08 1.1838292348731589e+08 1.1356980934650612e+08 1.0925257010989745e+08 1.0540616167807183e+08 1.0199444590031482e+08 9.8980562214834422e+07 9.6323794546492845e+07 9.3989952259225011e+07 9.1943510812336206e+07 9.0158569912342936e+07 8.8607285963644251e+07 8.7265893142062068e+07 8.6115986862937376e+07 8.5137238739848047e+07 8.4309960675510183e+07 8.3619973205931321e+07 8.3049042168954715e+07 8.2584477266203582e+07 8.2211292693352222e+07 8.1916910364627644e+07 8.1683928671786875e+07 8.1495226854677230e+07 8.1338467981295422e+07 8.1201694834597960e+07 8.1072781467798516e+07 8.0981604652506053e+07 8.0889556878446460e+07 8.0795642468654230e+07 8.0697278891756445e+07 8.0595807487991527e+07 8.0488276324841872e+07 8.0378475887539372e+07 8.0256358051328585e+07 8.0125666221421987e+07 7.9983995579909250e+07 7.9829468266071916e+07 7.9659802358788177e+07 7.9472427225389838e+07 7.9263615304611549e+07 7.9033989730211005e+07 7.8774591660003945e+07 7.8483761635327935e+07 7.8157279795001492e+07 7.7790604888397068e+07 7.7379053724935368e+07 7.6917928861839116e+07 7.6402002157857940e+07 7.5832169812018618e+07 7.5198185144268975e+07 7.4502343862169862e+07 7.3746255605238765e+07 7.2935850795459956e+07 7.2081219653998092e+07 7.1201567817618132e+07 7.0325444194539547e+07 6.9499838689831048e+07 6.8783345822209612e+07 6.8268250715744674e+07 6.8082922592575386e+07 6.8414030890769288e+07 6.9533110916674167e+07 7.1851648540991113e+07 7.6021015110268161e+07 8.3139117850363776e+07 1.7400737621008959e+07 +9.5000666888963838e+00 2.2658636607560924e+08 2.2656401113631368e+08 2.2652617946280852e+08 2.2647620554136178e+08 2.2642531316221231e+08 2.2639131007022664e+08 2.2638225143142185e+08 2.2638456959716809e+08 2.2638414315323797e+08 2.2637755595149904e+08 2.2636575360868460e+08 2.2634821230150515e+08 2.2632369907679656e+08 2.2629103330814478e+08 2.2624901788600525e+08 2.2619615185559052e+08 2.2613064708418086e+08 2.2605045184934658e+08 2.2595316944656447e+08 2.2583595348955643e+08 2.2569545507390019e+08 2.2552763690054378e+08 2.2532673854368806e+08 2.2508281903753385e+08 2.2478600665846422e+08 2.2443143789896402e+08 2.2401243540613008e+08 2.2351894458117381e+08 2.2293881940913519e+08 2.2225801972151077e+08 2.2146047333818090e+08 2.2052787784654090e+08 2.1943952116666839e+08 2.1817214843732688e+08 2.1669991575644147e+08 2.1499443229687637e+08 2.1302500818971899e+08 2.1075913474180970e+08 2.0816333764720774e+08 2.0520442725177109e+08 2.0158504133714652e+08 1.9747813124990609e+08 1.9286173075812215e+08 1.8772962279903519e+08 1.8209683131294841e+08 1.7600451161591360e+08 1.6952301432141262e+08 1.6275174477841783e+08 1.5581489769733700e+08 1.4885178015589154e+08 1.4200413901662901e+08 1.3540570645199674e+08 1.2917086161687548e+08 1.2337774185033296e+08 1.1807152813274597e+08 1.1326939398465338e+08 1.0896227056627840e+08 1.0512506572302993e+08 1.0172164643525508e+08 9.8715181018000424e+07 9.6065012438860074e+07 9.3737005565666616e+07 9.1695706678498983e+07 8.9915266946207777e+07 8.8367905678521901e+07 8.7029912376257405e+07 8.5882925141550452e+07 8.4906666091434747e+07 8.4081496528482750e+07 8.3393271859896496e+07 8.2823805027024880e+07 8.2360436632534474e+07 8.1988218787336200e+07 8.1694604196533978e+07 8.1462235081610978e+07 8.1274034391480237e+07 8.1117695302540034e+07 8.0981290618969157e+07 8.0852726103641808e+07 8.0761796530712321e+07 8.0669998524615660e+07 8.0576339018277436e+07 8.0478242447064742e+07 8.0377046492995113e+07 8.0269807353491455e+07 8.0160304608463302e+07 8.0038518265351593e+07 7.9908181200568050e+07 7.9766895123566106e+07 7.9612787270596743e+07 7.9443581914382175e+07 7.9256715399621934e+07 7.9048470404681534e+07 7.8819467766715005e+07 7.8560773806029513e+07 7.8270733205980688e+07 7.7945137559284225e+07 7.7579457941649660e+07 7.7169023874090508e+07 7.6709150664040416e+07 7.6194624478604496e+07 7.5626338502053559e+07 7.4994074681154326e+07 7.4300122142999589e+07 7.3546086158328027e+07 7.2737881052129745e+07 7.1885569657899633e+07 7.1008305482572809e+07 7.0134560052217379e+07 6.9311195192350864e+07 6.8596647126606718e+07 6.8082950168087333e+07 6.7898125211370930e+07 6.8228334809167743e+07 6.9344377289792299e+07 7.1656621682603404e+07 7.5814671478077367e+07 8.2913453115839735e+07 1.7341686809950545e+07 +9.5050350116706426e+00 2.2613903684960625e+08 2.2611672446675426e+08 2.2607896481988648e+08 2.2602908493467075e+08 2.2597828342932695e+08 2.2594433239702070e+08 2.2593527098420766e+08 2.2593755878425694e+08 2.2593710191517437e+08 2.2593048965519503e+08 2.2591866432164648e+08 2.2590110166986564e+08 2.2587656955372271e+08 2.2584388767825922e+08 2.2580185903255296e+08 2.2574898298009717e+08 2.2568347172948387e+08 2.2560327378597295e+08 2.2550599269812655e+08 2.2538878247164780e+08 2.2524829472708818e+08 2.2508049299475738e+08 2.2487961889913642e+08 2.2463573519728187e+08 2.2433896958706501e+08 2.2398445751895085e+08 2.2356552619231114e+08 2.2307212610268167e+08 2.2249211661031842e+08 2.2181146434835407e+08 2.2101410597130489e+08 2.2008175057012016e+08 2.1899370101941019e+08 2.1772672181882924e+08 2.1625499397477812e+08 2.1455015852809411e+08 2.1258156598123136e+08 2.1031675820834342e+08 2.0772232324994129e+08 2.0476514694698641e+08 2.0114814095884928e+08 1.9704427055497244e+08 1.9243170976122805e+08 1.8730438639659795e+08 1.8167746019904470e+08 1.7559219432728425e+08 1.6911899698442942e+08 1.6235725904694548e+08 1.5543107265794915e+08 1.4847955265945649e+08 1.4164417752844107e+08 1.3505835300562760e+08 1.2883610943364099e+08 1.2305527675389929e+08 1.1776078322871928e+08 1.1296961434392978e+08 1.0867259182742862e+08 1.0484457602164395e+08 1.0144943940961985e+08 9.8450379429111287e+07 9.5806798193654954e+07 9.3484616129283860e+07 9.1448450304324433e+07 8.9672503330460787e+07 8.8129057347906798e+07 8.6794457107174575e+07 8.5650383339970335e+07 8.4676608579427913e+07 8.3853543438661188e+07 8.3167078137131974e+07 8.2599072626447544e+07 8.2136898359008208e+07 8.1765645289378241e+07 8.1472796860617027e+07 8.1241039041642815e+07 8.1053338405730709e+07 8.0897418185795754e+07 8.0761381151303023e+07 8.0633164709248692e+07 8.0542481824884921e+07 8.0450933026424274e+07 8.0357527851355240e+07 8.0259697686454639e+07 8.0158776563532263e+07 8.0051828791513890e+07 7.9942623072046131e+07 7.9821167477763355e+07 7.9691184381653234e+07 7.9550282005751252e+07 7.9396592671997666e+07 7.9227846832890719e+07 7.9041487794890523e+07 7.8833808452549830e+07 7.8605427354050040e+07 7.8347435922260165e+07 7.8058182974692166e+07 7.7733471532219306e+07 7.7368784969225839e+07 7.6959465489804044e+07 7.6500841123008177e+07 7.5987712311719239e+07 7.5420969234675750e+07 7.4790422397578001e+07 7.4098354363496467e+07 7.3346366044089645e+07 7.2540355703649834e+07 7.1690358849210069e+07 7.0815476975112557e+07 6.9944104398423806e+07 6.9122975155070871e+07 6.8410367525502443e+07 6.7898065576289281e+07 6.7713742655838594e+07 6.8043055570473418e+07 6.9156067324547142e+07 7.1462032612752706e+07 7.5608791037288770e+07 8.2688294945969015e+07 1.7282822243676744e+07 +9.5100033344449013e+00 2.2569216327561930e+08 2.2566989253774866e+08 2.2563220540959030e+08 2.2558241922867620e+08 2.2553170863587004e+08 2.2549780963346136e+08 2.2548874552738875e+08 2.2549100306482080e+08 2.2549051590113336e+08 2.2548387872896925e+08 2.2547203057406813e+08 2.2545444677706805e+08 2.2542989600220379e+08 2.2539719829194611e+08 2.2535515674191505e+08 2.2530227104074961e+08 2.2523675374935272e+08 2.2515655361239961e+08 2.2505927444508535e+08 2.2494207066280380e+08 2.2480159442878732e+08 2.2463381012612510e+08 2.2443296145829421e+08 2.2418911495217770e+08 2.2389239779418075e+08 2.2353794442954472e+08 2.2311908663571611e+08 2.2262578004955789e+08 2.2204588946521351e+08 2.2136538838562256e+08 2.2056822237472239e+08 2.1963611210703853e+08 2.1854837549938041e+08 2.1728179650101122e+08 2.1581058111662593e+08 2.1410640234060466e+08 2.1213865111919293e+08 2.0987491994743589e+08 2.0728185923234254e+08 2.0432643028279608e+08 2.0071181964893135e+08 1.9661100535833359e+08 1.9200230133586255e+08 1.8687977976952663e+08 1.8125873552785477e+08 1.7518053881677663e+08 1.6871565456410831e+08 1.6196345833365479e+08 1.5504793900325224e+08 1.4810801873588589e+08 1.4128490751315150e+08 1.3471168491657782e+08 1.2850203309095559e+08 1.2273347536720715e+08 1.1745068816311739e+08 1.1267046978080066e+08 1.0838353322890301e+08 1.0456469189643353e+08 1.0117782413820016e+08 9.8186156759178326e+07 9.5549151121237233e+07 9.3232783260820284e+07 9.1201741002176493e+07 8.9430278379569203e+07 8.7890740288495064e+07 8.6559526653728992e+07 8.5418360779617399e+07 8.4447065527321830e+07 8.3626100731537789e+07 8.2941391364818886e+07 8.2374844296279326e+07 8.1913861776145488e+07 8.1543571531493157e+07 8.1251487690158948e+07 8.1020339886569396e+07 8.0833138233175024e+07 8.0677635967945680e+07 8.0541965769431606e+07 8.0414096623637274e+07 8.0323659874576017e+07 8.0232359724214897e+07 8.0139208309074774e+07 8.0041643951768607e+07 7.9940997042477116e+07 7.9834339982600152e+07 7.9725430622886598e+07 7.9604305034191594e+07 7.9474675111296639e+07 7.9334155574293554e+07 7.9180883819200486e+07 7.9012596464656234e+07 7.8826743763147816e+07 7.8619628801723704e+07 7.8391867847850561e+07 7.8134577366352960e+07 7.7846110301417872e+07 7.7522281076433778e+07 7.7158585336819783e+07 7.6750377941132590e+07 7.6292999611608088e+07 7.5781265034127519e+07 7.5216061391488865e+07 7.4587227680427656e+07 7.3897039916203082e+07 7.3147094661258101e+07 7.2343274155233502e+07 7.1495586640159249e+07 7.0623081714669585e+07 6.9754076659649894e+07 6.8935178011192933e+07 6.8224506457831278e+07 6.7713596383493468e+07 6.7529774370797321e+07 6.7858192616815761e+07 6.8968180453901991e+07 7.1267880745569035e+07 7.5403373167999789e+07 8.2463642662814617e+07 1.7224143400829300e+07 +9.5149716572191601e+00 2.2524574407304311e+08 2.2522351878262740e+08 2.2518590288436732e+08 2.2513620978985623e+08 2.2508559014543763e+08 2.2505174315008703e+08 2.2504267642484686e+08 2.2504490380524603e+08 2.2504438647683057e+08 2.2503772453827319e+08 2.2502585373158151e+08 2.2500824898761833e+08 2.2498367978606606e+08 2.2495096651227942e+08 2.2490891237525481e+08 2.2485601739810792e+08 2.2479049450244591e+08 2.2471029268526947e+08 2.2461301604275122e+08 2.2449581941512728e+08 2.2435535552866143e+08 2.2418758964113659e+08 2.2398676756272140e+08 2.2374295963868663e+08 2.2344629260989428e+08 2.2309189995336434e+08 2.2267311805059004e+08 2.2217990772511065e+08 2.2160013926475090e+08 2.2091979310967806e+08 2.2012282380704048e+08 2.1919096369657609e+08 2.1810354582219875e+08 2.1683737367248866e+08 2.1536667833891261e+08 2.1366316485411921e+08 2.1169626468068635e+08 2.0943362098640510e+08 2.0684194656513947e+08 2.0388827816487959e+08 2.0027607823371136e+08 1.9617833639600924e+08 1.9157350611678615e+08 1.8645580344078872e+08 1.8084065770171949e+08 1.7476954535878515e+08 1.6831298720250961e+08 1.6157034264790866e+08 1.5466549661425012e+08 1.4773717814658722e+08 1.4092632862454531e+08 1.3436570174714854e+08 1.2816863207579124e+08 1.2241233711840671e+08 1.1714124232052505e+08 1.1237195964906898e+08 1.0809509410357505e+08 1.0428541266723761e+08 1.0090679993371487e+08 9.7922512317493901e+07 9.5292070529784158e+07 9.2981506269305110e+07 9.0955578082753390e+07 8.9188591406366512e+07 8.7652953815493405e+07 8.6325120333604202e+07 8.5186856780254588e+07 8.4218036257088974e+07 8.3399167731158808e+07 8.2716210868837908e+07 8.2151119364167660e+07 8.1691326213343278e+07 8.1321996844450027e+07 8.1030676017345905e+07 8.0800136949676931e+07 8.0613433208413616e+07 8.0458347984538734e+07 8.0323043809983626e+07 8.0195521184307024e+07 8.0105330018298402e+07 8.0014277957194000e+07 7.9921379731303990e+07 7.9824080583808988e+07 7.9723707271360621e+07 7.9617340269115612e+07 7.9508726604191288e+07 7.9387930278849095e+07 7.9258652734806031e+07 7.9118515175599173e+07 7.8965660060060725e+07 7.8797830158886194e+07 7.8612482655067086e+07 7.8405930804708734e+07 7.8178788602334440e+07 7.7922197494680807e+07 7.7634514544931650e+07 7.7311565553366140e+07 7.6948858408772245e+07 7.6541760595863119e+07 7.6085625501349568e+07 7.5575282021692231e+07 7.5011614352967113e+07 7.4384489915278435e+07 7.3696178192396030e+07 7.2948271407290608e+07 7.2146635810948089e+07 7.1301252441910625e+07 7.0431119119405136e+07 6.9564476261436522e+07 6.8747803192871213e+07 6.8039063361730337e+07 6.7529542032109022e+07 6.7346219800070971e+07 6.7673745389332190e+07 6.8780716109821305e+07 7.1074165494035095e+07 7.5198417249079376e+07 8.2239495587043568e+07 1.7165649761193343e+07 +9.5199399799934188e+00 2.2479978492559844e+08 2.2477760046264026e+08 2.2474005823156548e+08 2.2469045797682345e+08 2.2463992931051704e+08 2.2460613430810899e+08 2.2459706503060490e+08 2.2459926236152261e+08 2.2459871499838355e+08 2.2459202843865582e+08 2.2458013514884600e+08 2.2456250965622050e+08 2.2453792225922230e+08 2.2450519369229195e+08 2.2446312728492275e+08 2.2441022340288961e+08 2.2434469533850929e+08 2.2426449235255840e+08 2.2416721883621535e+08 2.2405003007132980e+08 2.2390957936658189e+08 2.2374183287583122e+08 2.2354103854406273e+08 2.2329727058360502e+08 2.2300065535446361e+08 2.2264632540305063e+08 2.2222762174053982e+08 2.2173451042243761e+08 2.2115486728967950e+08 2.2047467978670135e+08 2.1967791151800710e+08 2.1874630656784719e+08 2.1765921319392070e+08 2.1639345451168633e+08 2.1492328678865209e+08 2.1322044717813343e+08 2.1125440773257047e+08 2.0899286234318814e+08 2.0640258620938390e+08 2.0345069148959121e+08 1.9984091753002983e+08 1.9574626439487866e+08 1.9114532473028517e+08 1.8603245792571872e+08 1.8042322711527348e+08 1.7435921421980029e+08 1.6791099503430209e+08 1.6117791199232626e+08 1.5428374536554858e+08 1.4736703064675194e+08 1.4056844051160714e+08 1.3402040305490133e+08 1.2783590587103422e+08 1.2209186143213029e+08 1.1683244508226627e+08 1.1207408329926343e+08 1.0780727378172739e+08 1.0400673765172037e+08 1.0063636610656340e+08 9.7659445411201239e+07 9.5035555725804210e+07 9.2730784461873099e+07 9.0709960855045155e+07 8.8947441721944511e+07 8.7415697242383689e+07 8.6091237462861031e+07 8.4955870660364494e+07 8.3989520089304715e+07 8.3172743760299563e+07 8.2491535973969966e+07 8.1927897156526163e+07 8.1469290998503283e+07 8.1100920557723209e+07 8.0810361173007399e+07 8.0580429563077852e+07 8.0394222664561227e+07 8.0239553569893450e+07 8.0104614608342171e+07 7.9977437727778018e+07 7.9887491593021393e+07 7.9796687063123032e+07 7.9704041456709787e+07 7.9607006921980903e+07 7.9506906590398148e+07 7.9400828992257997e+07 7.9292510358056247e+07 7.9172042554805517e+07 7.9043116596262291e+07 7.8903360155018970e+07 7.8750920741074413e+07 7.8583547263478741e+07 7.8398703820048466e+07 7.8192713812684923e+07 7.7966188970555484e+07 7.7710295662486553e+07 7.7423395062842235e+07 7.7101324323278025e+07 7.6739603548398107e+07 7.6333612820553541e+07 7.5878718162689209e+07 7.5369762648994550e+07 7.4807627498395115e+07 7.4182208486518338e+07 7.3495768582182243e+07 7.2749895678481936e+07 7.1950440073809251e+07 7.1107355664276332e+07 7.0239588606649846e+07 6.9375302627988860e+07 6.8560850131239176e+07 6.7854037674153477e+07 6.7345901963212848e+07 6.7163078386331841e+07 6.7489713327929750e+07 6.8593673723068193e+07 7.0880886269902170e+07 7.4993922658271372e+07 8.2015853038124204e+07 1.7107340805696506e+07 +9.5249083027676775e+00 2.2435428351913315e+08 2.2433214255740595e+08 2.2429467266089803e+08 2.2424516514043203e+08 2.2419472747378221e+08 2.2416098445702967e+08 2.2415191268876326e+08 2.2415408008013719e+08 2.2415350281159729e+08 2.2414679177573368e+08 2.2413487617117691e+08 2.2411723012729982e+08 2.2409262476547557e+08 2.2405988117487955e+08 2.2401780281273305e+08 2.2396489039590445e+08 2.2389935759664506e+08 2.2381915395157751e+08 2.2372188416087583e+08 2.2360470396449375e+08 2.2346426727194968e+08 2.2329654115571383e+08 2.2309577572446862e+08 2.2285204910344079e+08 2.2255548733825916e+08 2.2220122208146280e+08 2.2178259899927807e+08 2.2128958942495957e+08 2.2071007481126934e+08 2.2003004967324311e+08 2.1923348674669474e+08 2.1830214194085509e+08 2.1721537881086299e+08 2.1595004018785456e+08 2.1448040760286844e+08 2.1277825041361758e+08 2.1081308133289415e+08 2.0855264502654669e+08 2.0596377911693180e+08 2.0301367114421868e+08 1.9940633834583965e+08 1.9531479007325053e+08 1.9071775779386014e+08 1.8560974373069480e+08 1.8000644415472534e+08 1.7394954565905154e+08 1.6750967818709666e+08 1.6078616636282024e+08 1.5390268512573287e+08 1.4699757598644075e+08 1.4021124281802535e+08 1.3367578839280513e+08 1.2750385395568134e+08 1.2177204772945842e+08 1.1652429582633717e+08 1.1177684007940799e+08 1.0752007159107463e+08 1.0372866616516036e+08 1.0036652196519116e+08 9.7396955345530331e+07 9.4779606013798729e+07 9.2480617144001514e+07 9.0464888626286358e+07 8.8706828636001408e+07 8.7178969881486237e+07 8.5857877356125057e+07 8.4725401736932486e+07 8.3761516343386471e+07 8.2946828140218690e+07 8.2267366003346339e+07 8.1705176998319224e+07 8.1247755458323494e+07 8.0880341999485210e+07 8.0590542486609980e+07 8.0361217057527065e+07 8.0175505933670476e+07 8.0021252057103217e+07 7.9886677498612911e+07 7.9759845589061201e+07 7.9670143934697375e+07 7.9579586378733784e+07 7.9487192822640300e+07 7.9390422304494113e+07 7.9290594338658378e+07 7.9184805491953909e+07 7.9076781225364596e+07 7.8956641203853428e+07 7.8828066038720623e+07 7.8688689856618941e+07 7.8536665207595631e+07 7.8369747125113294e+07 7.8185406606383339e+07 7.7979977175516099e+07 7.7754068304356009e+07 7.7498871223592117e+07 7.7212751211447895e+07 7.6891556745126128e+07 7.6530820117718503e+07 7.6125933980759129e+07 7.5672276964691877e+07 7.5164706289442614e+07 7.4604100205727428e+07 7.3980382777574256e+07 7.3295810474602327e+07 7.2551966870071560e+07 7.1754686345620498e+07 7.0913895716254830e+07 7.0048489592357725e+07 6.9186555182661980e+07 6.8374318256343588e+07 6.7669428830953017e+07 6.7162675616913378e+07 6.6980349571184479e+07 6.7306095871601179e+07 6.8407052723505393e+07 7.0688042483984232e+07 7.4789888772132516e+07 8.1792714334286749e+07 1.7049216016408041e+07 +9.5298766255419363e+00 2.2390924426378465e+08 2.2388714498207214e+08 2.2384974755734527e+08 2.2380033264972875e+08 2.2374998597088075e+08 2.2371629493534243e+08 2.2370722073376423e+08 2.2370935829710266e+08 2.2370875125314444e+08 2.2370201588552320e+08 2.2369007813375068e+08 2.2367241173586932e+08 2.2364778863921648e+08 2.2361503029340822e+08 2.2357294029119158e+08 2.2352001970831835e+08 2.2345448260627696e+08 2.2337427880977675e+08 2.2327701334227994e+08 2.2315984241757065e+08 2.2301942056481865e+08 2.2285171579787222e+08 2.2265098041591257e+08 2.2240729650491691e+08 2.2211078986171913e+08 2.2175659128181773e+08 2.2133805111122102e+08 2.2084514600651824e+08 2.2026576309072256e+08 2.1958590401636606e+08 2.1878955072325519e+08 2.1785847102519801e+08 2.1677204385950530e+08 2.1550713186032569e+08 2.1403804190923259e+08 2.1233657565116903e+08 2.1037228652975652e+08 2.0811297003514236e+08 2.0552552623031077e+08 2.0257721800664094e+08 1.9897234148012939e+08 1.9488391414045346e+08 1.9029080591642538e+08 1.8518766135394952e+08 1.7959030919845086e+08 1.7354053992780092e+08 1.6710903678130120e+08 1.6039510574854237e+08 1.5352231575718719e+08 1.4662881390972614e+08 1.3985473518263587e+08 1.3333185730960244e+08 1.2717247580446151e+08 1.2145289542796960e+08 1.1621679392785987e+08 1.1148022933441895e+08 1.0723348685686849e+08 1.0345119752043733e+08 1.0009726681564324e+08 9.7135041423559710e+07 9.4524220696408093e+07 9.2231003619549453e+07 9.0220360702212572e+07 8.8466751456566975e+07 8.6942771043281049e+07 8.5625039326576978e+07 8.4495449325672269e+07 8.3534024337176129e+07 8.2721420191028684e+07 8.2043700278952941e+07 8.1482958213449299e+07 8.1026718918258205e+07 8.0660260496781826e+07 8.0371219286645606e+07 8.0142498762665808e+07 7.9957282346559554e+07 7.9803442778017253e+07 7.9669231813613981e+07 7.9542744102129981e+07 7.9453286377982467e+07 7.9362975239386573e+07 7.9270833165326461e+07 7.9174326068265527e+07 7.9074769853949025e+07 7.8969269106853902e+07 7.8861538545589909e+07 7.8741725566666886e+07 7.8613500403730303e+07 7.8474503623224288e+07 7.8322892803736359e+07 7.8156429089430138e+07 7.7972590361208305e+07 7.7767720242156371e+07 7.7542425954386398e+07 7.7287923530935615e+07 7.7002582345948130e+07 7.6682262176909983e+07 7.6322507477594927e+07 7.5918723440626308e+07 7.5466301275522560e+07 7.4960112315332443e+07 7.4401031852127895e+07 7.3779012170530260e+07 7.3096303257515356e+07 7.2354484376128599e+07 7.1559374027204260e+07 7.0720872005555972e+07 6.9857821491562471e+07 6.8998233347625807e+07 6.8188206997061923e+07 6.7485236266966805e+07 6.6979862432347700e+07 6.6798032795353450e+07 6.7122892458189636e+07 6.8220852539736405e+07 7.0495633545901462e+07 7.4586314966111079e+07 8.1570078792344257e+07 1.6991274876537874e+07 +9.5348449483161950e+00 2.2346466433714733e+08 2.2344260979665270e+08 2.2340528394782907e+08 2.2335596188842911e+08 2.2330570612894085e+08 2.2327206706944370e+08 2.2326299049064729e+08 2.2326509833923540e+08 2.2326446164900568e+08 2.2325770209406164e+08 2.2324574236233646e+08 2.2322805580677649e+08 2.2320341520418864e+08 2.2317064237108523e+08 2.2312854104263642e+08 2.2307561266093004e+08 2.2301007168704253e+08 2.2292986824532595e+08 2.2283260769623142e+08 2.2271544674346489e+08 2.2257504055548051e+08 2.2240735810838884e+08 2.2220665392044717e+08 2.2196301408539984e+08 2.2166656421630865e+08 2.2131243428729457e+08 2.2089397935064355e+08 2.2040118143074593e+08 2.1982193337955385e+08 2.1914224405290681e+08 2.1834610466787785e+08 2.1741529502117184e+08 2.1632920951684916e+08 2.1506473067860815e+08 2.1359619082604483e+08 2.1189542397201180e+08 2.0993202436157736e+08 2.0767383835854852e+08 2.0508782848259211e+08 2.0214133294555590e+08 1.9853892772273228e+08 1.9445363729689726e+08 1.8986446969847775e+08 1.8476621128551388e+08 1.7917482261687776e+08 1.7313219726987150e+08 1.6670907093007424e+08 1.6000473013218525e+08 1.5314263711607787e+08 1.4626074415543509e+08 1.3949891723921943e+08 1.3298860934921516e+08 1.2684177088839549e+08 1.2113440394154771e+08 1.1590993875851415e+08 1.1118425040654348e+08 1.0694751890169680e+08 1.0317433102823716e+08 9.9828599962151960e+07 9.6873702946727782e+07 9.4269399074603945e+07 9.1981943190436155e+07 8.9976376386891350e+07 8.8227209490228981e+07 8.6707100037033767e+07 8.5392722686012492e+07 8.4266012740768299e+07 8.3307043387255475e+07 8.2496519231392071e+07 8.1820538121523947e+07 8.1261240124391526e+07 8.0806180702508017e+07 8.0440675375261515e+07 8.0152390900091633e+07 7.9924274006816134e+07 7.9739551232746094e+07 7.9586125063351423e+07 7.9452276885181129e+07 7.9326132599646688e+07 7.9236918256311268e+07 7.9146852979288891e+07 7.9054961819747657e+07 7.8958717549153969e+07 7.8859432472909525e+07 7.8754219174540654e+07 7.8646781657217830e+07 7.8527294982627079e+07 7.8399419031797752e+07 7.8260800796433687e+07 7.8109602872353628e+07 7.7943592500621110e+07 7.7760254430270299e+07 7.7555942360031962e+07 7.7331261270090237e+07 7.7077451936063573e+07 7.6792887820310369e+07 7.6473439975150436e+07 7.6114664987726957e+07 7.5711980563236654e+07 7.5260790462060198e+07 7.4755980097878486e+07 7.4198421813340783e+07 7.3578096046410695e+07 7.2897246317756504e+07 7.2157447589691103e+07 7.1364502518201262e+07 7.0528283938875452e+07 6.9667583718179271e+07 6.8810336544056848e+07 6.8002515781460449e+07 6.7301459416190192e+07 6.6797461847620532e+07 6.6616127498351753e+07 6.6940102524665169e+07 6.8035072599468544e+07 7.0303658864260554e+07 7.4383200614383757e+07 8.1347945728104755e+07 1.6933516870435696e+07 +9.5398132710904537e+00 2.2302054955240583e+08 2.2299853796357542e+08 2.2296128362251288e+08 2.2291205422376838e+08 2.2286188926664266e+08 2.2282830217386916e+08 2.2281922327474171e+08 2.2282130152329242e+08 2.2282063531597069e+08 2.2281385171726137e+08 2.2280187017223525e+08 2.2278416365537181e+08 2.2275950577547157e+08 2.2272671872187638e+08 2.2268460637943190e+08 2.2263167056523240e+08 2.2256612614875153e+08 2.2248592356590110e+08 2.2238866852825034e+08 2.2227151824568248e+08 2.2213112854399648e+08 2.2196346938405871e+08 2.2176279753042209e+08 2.2151920313198584e+08 2.2122281168229643e+08 2.2086875237118781e+08 2.2045038498210752e+08 2.1995769695191351e+08 2.1937858691966391e+08 2.1869907101021457e+08 2.1790314979034579e+08 2.1697261511920705e+08 2.1588687694991368e+08 2.1462283778303796e+08 2.1315485546168169e+08 2.1145479644823048e+08 2.0949229585812867e+08 2.0723525097722197e+08 2.0465068679781032e+08 2.0170601682049465e+08 1.9810609785452840e+08 1.9402396023394611e+08 1.8943874973164058e+08 1.8434539400702775e+08 1.7875998477229449e+08 1.7272451792152715e+08 1.6630978073968893e+08 1.5961503948959294e+08 1.5276364905276898e+08 1.4589336645674926e+08 1.3914378861651734e+08 1.3264604405140087e+08 1.2651173867444529e+08 1.2081657268055958e+08 1.1560372968716952e+08 1.1088890263521448e+08 1.0666216704569614e+08 1.0289806599695018e+08 9.9560520706658602e+07 9.6612939214246988e+07 9.4015140447436005e+07 9.1733435157057121e+07 8.9732934982811630e+07 8.7988202041999206e+07 8.6471956170293555e+07 8.5160926744741559e+07 8.4037091295111239e+07 8.3080572808944568e+07 8.2272124578907922e+07 8.1597878850504220e+07 8.1040022052385077e+07 8.0586140134041741e+07 8.0221585959408611e+07 7.9934056652873918e+07 7.9706542117174089e+07 7.9522311920489922e+07 7.9369298242451504e+07 7.9235812043699518e+07 7.9110010413170815e+07 7.9021038901873246e+07 7.8931218931430429e+07 7.8839578119584441e+07 7.8743596081763059e+07 7.8644581530934498e+07 7.8539655031315506e+07 7.8432509897408769e+07 7.8313348789927930e+07 7.8185821262243986e+07 7.8047580716798618e+07 7.7896794755337119e+07 7.7731236701939836e+07 7.7548398158394456e+07 7.7344642875602499e+07 7.7120573599823967e+07 7.6867455789333627e+07 7.6583666987442702e+07 7.6265089495485738e+07 7.5907292006656349e+07 7.5505704710592493e+07 7.5055743889985949e+07 7.4552309006946668e+07 7.3996269463984504e+07 7.3377633785264015e+07 7.2698639040894106e+07 7.1960855902612552e+07 7.1170071217234597e+07 7.0336130921910420e+07 6.9477775685216486e+07 6.8622864192126080e+07 6.7817244036345840e+07 6.7118097711331531e+07 6.6615473299776644e+07 6.6434633118809178e+07 6.6757725506829381e+07 6.7849712329371572e+07 7.0112117846638486e+07 7.4180545090191096e+07 8.1126314455818400e+07 1.6875941483590070e+07 +9.5447815938647125e+00 2.2257690016405994e+08 2.2255493093025526e+08 2.2251774756979868e+08 2.2246861099536151e+08 2.2241853669191682e+08 2.2238500155247775e+08 2.2237592039240366e+08 2.2237796915584448e+08 2.2237727356085271e+08 2.2237046606165683e+08 2.2235846286960763e+08 2.2234073658682728e+08 2.2231606165711114e+08 2.2228326064923945e+08 2.2224113760447803e+08 2.2218819472278485e+08 2.2212264729158351e+08 2.2204244607024989e+08 2.2194519713479194e+08 2.2182805821782061e+08 2.2168768582100478e+08 2.2152005091201076e+08 2.2131941252887660e+08 2.2107586492215651e+08 2.2077953353100890e+08 2.2042554679744819e+08 2.2000726926046920e+08 2.1951469381434634e+08 2.1893572494312590e+08 2.1825638610591036e+08 2.1746068729180071e+08 2.1653043250000578e+08 2.1544504731660119e+08 2.1418145430405265e+08 2.1271403691507149e+08 2.1101469414178267e+08 2.0905310203899607e+08 2.0679720886189958e+08 2.0421410209052023e+08 2.0127127048199016e+08 1.9767385264738357e+08 1.9359488363481528e+08 1.8901364659902295e+08 1.8392520999162772e+08 1.7834579601940855e+08 1.7231750211146322e+08 1.6591116630897456e+08 1.5922603379045054e+08 1.5238535141133654e+08 1.4552668054132691e+08 1.3878934893839675e+08 1.3230416095140728e+08 1.2618237862555949e+08 1.2049940105224007e+08 1.1529816607929441e+08 1.1059418535711066e+08 1.0637743060651547e+08 1.0262240173264869e+08 9.9293028349013343e+07 9.6352749523495942e+07 9.3761444112232059e+07 9.1485478817983553e+07 8.9490035790746421e+07 8.7749728415215462e+07 8.6237338749407664e+07 8.4929650811826840e+07 8.3808684300315201e+07 8.2854611916024521e+07 8.2048235549511775e+07 8.1375721783976659e+07 8.0819303317526460e+07 8.0366596534548149e+07 8.0002991572544008e+07 7.9716215869611517e+07 7.9489302419635236e+07 7.9305563736980051e+07 7.9152961643666267e+07 7.9019836618396625e+07 7.8894376873011708e+07 7.8805647645870909e+07 7.8716072427623391e+07 7.8624681397527844e+07 7.8528960999498501e+07 7.8430216362313926e+07 7.8325576012279674e+07 7.8218722602302372e+07 7.8099886325613290e+07 7.7972706433215722e+07 7.7834842723548010e+07 7.7684467793118849e+07 7.7519361035273731e+07 7.7337020888974965e+07 7.7133821134209603e+07 7.6910362290713206e+07 7.6657934440196648e+07 7.6374919198982731e+07 7.6057210092272952e+07 7.5700387891867772e+07 7.5299895243472785e+07 7.4851160923960760e+07 7.4349098411576718e+07 7.3794574177735627e+07 7.3177624765732139e+07 7.2500480811542898e+07 7.1764708705791607e+07 7.0976079521712571e+07 7.0144412359160379e+07 6.9288396804351106e+07 6.8435815710828751e+07 6.7632391187717780e+07 6.6935150584218599e+07 6.6433896224888086e+07 6.6253549094370134e+07 6.6575760839587793e+07 6.7664771155093834e+07 6.9921009899469957e+07 7.3978347765534088e+07 8.0905184288871214e+07 1.6818548202627402e+07 +9.5497499166389712e+00 2.2213371576649207e+08 2.2211178678123021e+08 2.2207467719668978e+08 2.2202563352326980e+08 2.2197564970179161e+08 2.2194216649900973e+08 2.2193308314041659e+08 2.2193510253467327e+08 2.2193437768058842e+08 2.2192754642384294e+08 2.2191552175074771e+08 2.2189777589691022e+08 2.2187308414437807e+08 2.2184026944759923e+08 2.2179813601095539e+08 2.2174518642542514e+08 2.2167963640565130e+08 2.2159943704646543e+08 2.2150219480218306e+08 2.2138506794366199e+08 2.2124471366746059e+08 2.2107710396922544e+08 2.2087650018836865e+08 2.2063300072385395e+08 2.2033673102435896e+08 2.1998281882007840e+08 2.1956463343099299e+08 2.1907217325291961e+08 2.1849334867223695e+08 2.1781419054807332e+08 2.1701871836329073e+08 2.1608874833497298e+08 2.1500372176465333e+08 2.1374058136260140e+08 2.1227373627574113e+08 2.1057511810589749e+08 2.0861444391479734e+08 2.0635971297421157e+08 2.0377807526622993e+08 2.0083709477157947e+08 1.9724219286412716e+08 1.9316640817345023e+08 1.8858916087547979e+08 1.8350565970471093e+08 1.7793225670474797e+08 1.7191115006106639e+08 1.6551322773031867e+08 1.5883771299724394e+08 1.5200774402992088e+08 1.4516068613140985e+08 1.3843559782374263e+08 1.3196295958008943e+08 1.2585369020102654e+08 1.2018288845981030e+08 1.1499324729734056e+08 1.1030009790609650e+08 1.0609330889931880e+08 1.0234733753900555e+08 9.9026122187074706e+07 9.6093133170098111e+07 9.3508309364455685e+07 9.1238073470276102e+07 8.9247678110075772e+07 8.7511787911956787e+07 8.6003247079117402e+07 8.4698894194758281e+07 8.3580791066510484e+07 8.2629160021240905e+07 8.1824851458253145e+07 8.1154066238937736e+07 8.0599083238565296e+07 8.0147549224551678e+07 7.9784891536731616e+07 7.9498867873895705e+07 7.9272554238976955e+07 7.9089306008209124e+07 7.8937114593965396e+07 7.8804349937479854e+07 7.8679231308315992e+07 7.8590743818036199e+07 7.8501412798581332e+07 7.8410270984997600e+07 7.8314811634511486e+07 7.8216336300089821e+07 7.8111981451427132e+07 7.8005419106603771e+07 7.7886906925599307e+07 7.7760073881612927e+07 7.7622586154867813e+07 7.7472621325209498e+07 7.7307964841493577e+07 7.7126121964479312e+07 7.6923476479874179e+07 7.6700626688717976e+07 7.6448887236662015e+07 7.6166643805467457e+07 7.5849801118726119e+07 7.5493951999572575e+07 7.5094551521592379e+07 7.4647040927525505e+07 7.4146347679467410e+07 7.3593335327031851e+07 7.2978068365705267e+07 7.2302771013270155e+07 7.1569005388913363e+07 7.0782526828180149e+07 6.9953127654229283e+07 6.9099446486559436e+07 6.8249190518310308e+07 6.7447956660420150e+07 6.6752617465704732e+07 6.6252730058036566e+07 6.6072874861629285e+07 6.6394207956870578e+07 6.7480248501200184e+07 6.9730334428188309e+07 7.3776608011396706e+07 8.0684554539260194e+07 1.6761336515311077e+07 +9.5547182394132300e+00 2.2169099843069658e+08 2.2166911109397012e+08 2.2163207403055665e+08 2.2158312309008014e+08 2.2153322958317292e+08 2.2149979829749581e+08 2.2149071280663159e+08 2.2149270294694525e+08 2.2149194896257427e+08 2.2148509409094918e+08 2.2147304810210332e+08 2.2145528287164712e+08 2.2143057452262998e+08 2.2139774640093833e+08 2.2135560288203529e+08 2.2130264695529491e+08 2.2123709477168617e+08 2.2115689777354699e+08 2.2105966280701250e+08 2.2094254869717675e+08 2.2080221335424960e+08 2.2063462982340339e+08 2.2043406177263671e+08 2.2019061179509574e+08 2.1989440541394997e+08 2.1954056968351316e+08 2.1912247872889650e+08 2.1863013649262708e+08 2.1805145931993541e+08 2.1737248553510192e+08 2.1657724418615818e+08 2.1564756378567237e+08 2.1456290143284780e+08 2.1330022007014745e+08 2.1183395462359717e+08 2.1013606938365325e+08 2.0817632248656660e+08 2.0592276426655340e+08 2.0334260722127011e+08 2.0040349052130046e+08 1.9681111925909480e+08 1.9273853451535580e+08 1.8816529312718672e+08 1.8308674360312754e+08 1.7751936716710272e+08 1.7150546198383132e+08 1.6511596508848801e+08 1.5845007706674126e+08 1.5163082674062383e+08 1.4479538294386432e+08 1.3808253488670745e+08 1.3162243946376489e+08 1.2552567285594825e+08 1.1986703430354197e+08 1.1468897270086420e+08 1.1000663961347008e+08 1.0580980123676509e+08 1.0207287271778554e+08 9.8759801516801119e+07 9.5834089447578385e+07 9.3255735497997463e+07 9.0991218409250721e+07 8.9005861238548741e+07 8.7274379832769841e+07 8.5769680462843373e+07 8.4468656199823484e+07 8.3353410902614832e+07 8.2404216435915753e+07 8.1601971618685037e+07 8.0932911531105638e+07 8.0379361133163363e+07 7.9928997523393095e+07 7.9567285172896177e+07 7.9282011987995207e+07 7.9056296898811296e+07 7.8873538058919787e+07 7.8721756419318378e+07 7.8589351327883244e+07 7.8464573047008961e+07 7.8376326747240454e+07 7.8287239373734638e+07 7.8196346212257221e+07 7.8101147317988038e+07 7.8002940676238030e+07 7.7898870681657135e+07 7.7792598744241938e+07 7.7674409924594820e+07 7.7547922943324998e+07 7.7410810347752646e+07 7.7261254689884380e+07 7.7097047460297555e+07 7.6915700726092190e+07 7.6713608255577981e+07 7.6491366138772652e+07 7.6240313525838181e+07 7.5958840156417057e+07 7.5642861927068278e+07 7.5287983684983313e+07 7.4889672903564125e+07 7.4443383263074800e+07 7.3944056177349746e+07 7.3392552283324152e+07 7.2778963961798415e+07 7.2105509028449655e+07 7.1373745340692773e+07 7.0589412532050237e+07 6.9762276209525749e+07 6.8910924141499326e+07 6.8062988031550005e+07 6.7263939878318757e+07 6.6570497785601325e+07 6.6071974233361654e+07 6.5892609856237017e+07 6.6213066291473508e+07 6.7296143791358709e+07 6.9540090837208211e+07 7.3575325197564274e+07 8.0464424517765194e+07 1.6704305910540460e+07 +9.5596865621874887e+00 2.2124874944639343e+08 2.2122690587907818e+08 2.2118993898617882e+08 2.2114108092531607e+08 2.2109127761156344e+08 2.2105789822342962e+08 2.2104881066908962e+08 2.2105077167030987e+08 2.2104998868438476e+08 2.2104311033993107e+08 2.2103104320020014e+08 2.2101325878692955e+08 2.2098853406698722e+08 2.2095569278437093e+08 2.2091353949157980e+08 2.2086057758471411e+08 2.2079502366058323e+08 2.2071482952048385e+08 2.2061760241656786e+08 2.2050050174299398e+08 2.2036018614300704e+08 2.2019262973227146e+08 2.1999209853482914e+08 2.1974869938435251e+08 2.1945255794196820e+08 2.1909880062229541e+08 2.1868080638047338e+08 2.1818858474887052e+08 2.1761005808913442e+08 2.1693127225568175e+08 2.1613626593240264e+08 2.1520688000430411e+08 2.1412258744972855e+08 2.1286037152873623e+08 2.1139469302917334e+08 2.0969754900922143e+08 2.0773873874592683e+08 2.0548636368172809e+08 2.0290769884265646e+08 1.9997045855458695e+08 1.9638063257729381e+08 1.9231126331712034e+08 1.8774204391207451e+08 1.8266846213556769e+08 1.7710712773735258e+08 1.7110043808649448e+08 1.6471937846151942e+08 1.5806312594858146e+08 1.5125459936982015e+08 1.4443077068998736e+08 1.3773015973630336e+08 1.3128260012497218e+08 1.2519832604181720e+08 1.1955183798001415e+08 1.1438534164638831e+08 1.0971380980749281e+08 1.0552690692918873e+08 1.0179900656843412e+08 9.8494065631892309e+07 9.5575617647708878e+07 9.3003721804757401e+07 9.0744912928625405e+07 8.8764584472318679e+07 8.7037503476670086e+07 8.5536638202614293e+07 8.4238936131831527e+07 8.3126543116268158e+07 8.2179780470137611e+07 8.1379595343198612e+07 8.0712256974821851e+07 8.0160136317656294e+07 7.9710940749210864e+07 7.9350171800784275e+07 7.9065647533007517e+07 7.8840529721584201e+07 7.8658259212801605e+07 7.8506886444505244e+07 7.8374840115385741e+07 7.8250401415994704e+07 7.8162395760943413e+07 7.8073551481482178e+07 7.7982906408449844e+07 7.7887967379869193e+07 7.7790028821514457e+07 7.7686243034546629e+07 7.7580260847654507e+07 7.7462394656278893e+07 7.7336252952989638e+07 7.7199514638112947e+07 7.7050367224213690e+07 7.6886608230209559e+07 7.6705756513953075e+07 7.6504215803205281e+07 7.6282579984598264e+07 7.6032212653557360e+07 7.5751507600068092e+07 7.5436391868313804e+07 7.5082482302211300e+07 7.4685258746911407e+07 7.4240187291962266e+07 7.3742223270882830e+07 7.3192224416972995e+07 7.2580310929632634e+07 7.1908694238457784e+07 7.1178927948833987e+07 7.0396736027717814e+07 6.9571857426643908e+07 6.8722829178075150e+07 6.7877207666689023e+07 6.7080340264385149e+07 6.6388790972827137e+07 6.5891628184040137e+07 6.5712753512921400e+07 6.6032335275430970e+07 6.7112456448203385e+07 6.9350278529906526e+07 7.3374498692893431e+07 8.0244793534127206e+07 1.6647455878349947e+07 +9.5646548849617474e+00 2.2080697018149108e+08 2.2078516988299063e+08 2.2074827347644126e+08 2.2069950823424849e+08 2.2064979505224562e+08 2.2061646754391837e+08 2.2060737799659386e+08 2.2060930997333124e+08 2.2060849811414534e+08 2.2060159643852296e+08 2.2058950831253210e+08 2.2057170490993202e+08 2.2054696404390559e+08 2.2051410986283287e+08 2.2047194710344109e+08 2.2041897957654551e+08 2.2035342433375666e+08 2.2027323354691833e+08 2.2017601488772219e+08 2.2005892833619541e+08 2.1991863328536883e+08 2.1975110494406092e+08 2.1955061171901926e+08 2.1930726473053819e+08 2.1901118984128767e+08 2.1865751286163187e+08 2.1823961760161909e+08 2.1774751922738156e+08 2.1716914617390046e+08 2.1649055188910651e+08 2.1569578476422989e+08 2.1476669813330770e+08 2.1368278093542805e+08 2.1242103683080047e+08 2.1095595255369100e+08 2.0925955800726378e+08 2.0730169367569512e+08 2.0505051215381542e+08 2.0247335100850201e+08 1.9953799968562967e+08 1.9595073355522329e+08 1.9188459522709790e+08 1.8731941377940151e+08 1.8225081574305156e+08 1.7669553873896110e+08 1.7069607856784490e+08 1.6432346792078549e+08 1.5767685958635342e+08 1.5087906173778376e+08 1.4406684907588747e+08 1.3737847197704327e+08 1.3094344108131036e+08 1.2487164920632565e+08 1.1923729888254477e+08 1.1408235348724064e+08 1.0942160781421724e+08 1.0524462528447774e+08 1.0152573838813367e+08 9.8228913824104071e+07 9.5317717060298279e+07 9.2752267575100660e+07 9.0499156320484534e+07 8.8523847106152833e+07 8.6801158141190931e+07 8.5304119598870546e+07 8.4009733294380903e+07 8.2900187013643056e+07 8.1955851432731524e+07 8.1157721942971393e+07 8.0492101883576170e+07 7.9941408107283175e+07 7.9493378219000891e+07 7.9133550738866851e+07 7.8849773829027161e+07 7.8625252028549343e+07 7.8443468792329669e+07 7.8292503993110284e+07 7.8160815624686122e+07 7.8036715740987644e+07 7.7948950185756654e+07 7.7860348449041530e+07 7.7769950901531518e+07 7.7675271148969248e+07 7.7577600065632060e+07 7.7474097840791658e+07 7.7368404748372138e+07 7.7250860453035638e+07 7.7125063244246408e+07 7.6988698360668659e+07 7.6839958264379278e+07 7.6676646488714173e+07 7.6496288667045400e+07 7.6295298463491634e+07 7.6074267568800822e+07 7.5824583964682430e+07 7.5544645483689949e+07 7.5230390292384595e+07 7.4877447204244509e+07 7.4481308407942072e+07 7.4037452374435842e+07 7.3540848324526429e+07 7.2992351097197577e+07 7.2382108643715844e+07 7.1712326023630530e+07 7.0984552599909008e+07 7.0204496708571702e+07 6.9381870706053436e+07 6.8535161004030034e+07 6.7691848838849917e+07 6.6897157240557976e+07 6.6207496455206715e+07 6.5711691342156775e+07 6.5533305265404575e+07 6.5852014339724064e+07 6.6929185893394858e+07 6.9160896908742711e+07 7.3174127865021244e+07 8.0025660896811739e+07 1.6590785909907958e+07 +9.5696232077360062e+00 2.2036566162271634e+08 2.2034390365760595e+08 2.2030707871345767e+08 2.2025840623251590e+08 2.2020878315881521e+08 2.2017550751786116e+08 2.2016641604863679e+08 2.2016831911433014e+08 2.2016747850981355e+08 2.2016055364465395e+08 2.2014844469635358e+08 2.2013062249725315e+08 2.2010586570908564e+08 2.2007299889141053e+08 2.2003082697208899e+08 2.1997785418391705e+08 2.1991229804269549e+08 2.1983211110266054e+08 2.1973490146858108e+08 2.1961782972162038e+08 2.1947755602359250e+08 2.1931005669752705e+08 2.1910960255969015e+08 2.1886630906267273e+08 2.1857030233451021e+08 2.1821670761701843e+08 2.1779891359923881e+08 2.1730694112472311e+08 2.1672872475802317e+08 2.1605032560499570e+08 2.1525580183450392e+08 2.1432701930582458e+08 2.1324348299937677e+08 2.1198221705952838e+08 2.1051773424896762e+08 2.0882209739337790e+08 2.0686518824885917e+08 2.0461521060762835e+08 2.0203956458761391e+08 1.9910611471998963e+08 1.9552142292025343e+08 1.9145853088444746e+08 1.8689740327028191e+08 1.8183380485816082e+08 1.7628460048730966e+08 1.7029238361968562e+08 1.6392823353039476e+08 1.5729127791713956e+08 1.5050421365890950e+08 1.4370361780237088e+08 1.3702747120864114e+08 1.3060496184637789e+08 1.2454564179314211e+08 1.1892341640118988e+08 1.1378000757385248e+08 1.0913003295647489e+08 1.0496295560798413e+08 1.0125306747190905e+08 9.7964345383382350e+07 9.5060386973595932e+07 9.2501372097667247e+07 9.0253947875338942e+07 8.8283648433078453e+07 8.6565343122589976e+07 8.5072123950975120e+07 8.3781046989621401e+07 8.2674341899773091e+07 8.1732428631346732e+07 8.0936350727962092e+07 8.0272445569262773e+07 7.9723175816154540e+07 7.9276309248637900e+07 7.8917421304684699e+07 7.8634390194871947e+07 7.8410463139999375e+07 7.8229166118944004e+07 7.8078608387665510e+07 7.7947277179309741e+07 7.7823515346548155e+07 7.7735989346950442e+07 7.7647629602504164e+07 7.7557479018444374e+07 7.7463057952999189e+07 7.7365653737102047e+07 7.7262434429705143e+07 7.7157029776742011e+07 7.7039806646338835e+07 7.6914353149541929e+07 7.6778360849055514e+07 7.6630027145196348e+07 7.6467161572176337e+07 7.6287296523419529e+07 7.6086855576157242e+07 7.5866428233034015e+07 7.5617426802944601e+07 7.5338253153470621e+07 7.5024856548156589e+07 7.4672877742974296e+07 7.4277821242134765e+07 7.3835177869672656e+07 7.3339930701827958e+07 7.2792931692292422e+07 7.2184356477669820e+07 7.1516403763364941e+07 7.0790618679570094e+07 7.0012693966960937e+07 6.9192315447233647e+07 6.8347919026190653e+07 6.7506910962048650e+07 6.6714390227836750e+07 6.6026613659755245e+07 6.5532163139055274e+07 6.5354264546484143e+07 6.5672102914381340e+07 6.6746331547755294e+07 6.8971945375080422e+07 7.2974212080722749e+07 7.9807025913135096e+07 1.6534295497515986e+07 +9.5745915305102649e+00 2.1992482380263793e+08 2.1990311011647683e+08 2.1986635593922704e+08 2.1981777615059343e+08 2.1976824317569280e+08 2.1973501939544502e+08 2.1972592607519686e+08 2.1972780034205076e+08 2.1972693112050462e+08 2.1971998320675611e+08 2.1970785359982994e+08 2.1969001279632312e+08 2.1966524030951068e+08 2.1963236111627960e+08 2.1959018034237742e+08 2.1953720265027693e+08 2.1947164602947810e+08 2.1939146342820430e+08 2.1929426339728943e+08 2.1917720713488758e+08 2.1903695559025767e+08 2.1886948622148409e+08 2.1866907228162137e+08 2.1842583360074413e+08 2.1812989663554391e+08 2.1777638609451854e+08 2.1735869557053006e+08 2.1686685162738958e+08 2.1628879501599458e+08 2.1561059456353113e+08 2.1481631828662160e+08 2.1388784464549896e+08 2.1280469474244621e+08 2.1154391328852442e+08 2.1008003915729019e+08 2.0838516817348596e+08 2.0642922342956540e+08 2.0418045995829043e+08 2.0160634044025654e+08 1.9867480445396686e+08 1.9509270139127511e+08 1.9103307092044663e+08 1.8647601291739520e+08 1.8141742990524024e+08 1.7587431329017088e+08 1.6988935342631319e+08 1.6353367534770769e+08 1.5690638087137187e+08 1.5013005494191733e+08 1.4334107656476721e+08 1.3667715702568233e+08 1.3026716192966546e+08 1.2422030324243803e+08 1.1861018992241523e+08 1.1347830325376487e+08 1.0883908455502552e+08 1.0468189720285840e+08 1.0098099311261907e+08 9.7700359597511962e+07 9.4803626673711717e+07 9.2251034659341633e+07 9.0009286882095814e+07 8.8043987744899333e+07 8.6330057715478837e+07 8.4840650556743562e+07 8.3552876518530607e+07 8.2449007078463480e+07 8.1509511372314915e+07 8.0715481006909698e+07 8.0053287342855856e+07 7.9505438757067755e+07 7.9059733152690262e+07 7.8701782814555675e+07 7.8419495948332772e+07 7.8196162374810100e+07 7.8015350512903318e+07 7.7865198949520454e+07 7.7734224101765379e+07 7.7610799556231618e+07 7.7523512568738207e+07 7.7435394266860083e+07 7.7345490084954977e+07 7.7251327118530333e+07 7.7154189163379818e+07 7.7051252129765734e+07 7.6946135262119517e+07 7.6829232566465333e+07 7.6704122000253841e+07 7.6568501435875490e+07 7.6420573200603589e+07 7.6258152815864027e+07 7.6078779419751883e+07 7.5878886479738131e+07 7.5659061317736283e+07 7.5410740511000827e+07 7.5132329954377517e+07 7.4819789983515859e+07 7.4468773269298613e+07 7.4074796603765279e+07 7.3633363135819301e+07 7.3139469765253320e+07 7.2593965569476724e+07 7.1987053803905994e+07 7.1320926835888430e+07 7.0597125572473645e+07 6.9821327194197461e+07 6.9003191048621401e+07 6.8161102650465712e+07 6.7322393449537739e+07 6.6532038646238878e+07 6.5846142012500674e+07 6.5353043005018741e+07 6.5175630787989289e+07 6.5492600428502776e+07 6.6563892830912992e+07 6.8783423329339266e+07 7.2774750705577374e+07 7.9588887889391914e+07 1.6477984134607604e+07 +9.5795598532845236e+00 2.1948446124820784e+08 2.1946278929069138e+08 2.1942610674434593e+08 2.1937761923720455e+08 2.1932817634053272e+08 2.1929500441798073e+08 2.1928590931669730e+08 2.1928775489618194e+08 2.1928685718496129e+08 2.1927988636363354e+08 2.1926773626101109e+08 2.1924987704495212e+08 2.1922508908221430e+08 2.1919219777376235e+08 2.1915000844940934e+08 2.1909702620973814e+08 2.1903146952666640e+08 2.1895129175386888e+08 2.1885410190220135e+08 2.1873706180232832e+08 2.1859683320849487e+08 2.1842939473566216e+08 2.1822902209983259e+08 2.1798583955457059e+08 2.1768997394787478e+08 2.1733654949050483e+08 2.1691896470287359e+08 2.1642725191276714e+08 2.1584935811282122e+08 2.1517135991554439e+08 2.1437733525446597e+08 2.1344917526663178e+08 2.1236641725576544e+08 2.1110612658227405e+08 2.0964286831171981e+08 2.0794877134447631e+08 2.0599380017251647e+08 2.0374626111253366e+08 2.0117367941680604e+08 1.9824406967505735e+08 1.9466456967844000e+08 1.9060821595725122e+08 1.8605524324523637e+08 1.8100169130113015e+08 1.7546467744745916e+08 1.6948698816472259e+08 1.6313979342329118e+08 1.5652216837376633e+08 1.4975658538950944e+08 1.4297922505329123e+08 1.3632752901844624e+08 1.2993004083629283e+08 1.2389563299047071e+08 1.1829761882945427e+08 1.1317723987164254e+08 1.0854876192768066e+08 1.0440144936994815e+08 1.0070951460116267e+08 9.7436955752363637e+07 9.4547435445283726e+07 9.2001254545410290e+07 8.9765172628175020e+07 8.7804864331723735e+07 8.6095301213261768e+07 8.4609698712700635e+07 8.3325221180663869e+07 8.2224181852131844e+07 8.1287098960657820e+07 8.0495112087416872e+07 7.9834626514172181e+07 7.9288196241885319e+07 7.8843649244742259e+07 7.8486634583555028e+07 7.8205090405967653e+07 7.7982349051086321e+07 7.7802021293313116e+07 7.7652274999024242e+07 7.7521655713329211e+07 7.7398567692348957e+07 7.7311519174327016e+07 7.7223641766083598e+07 7.7133983425823182e+07 7.7040077971125439e+07 7.6943205670947298e+07 7.6840550268219456e+07 7.6735720532513246e+07 7.6619137542584211e+07 7.6494369126683041e+07 7.6359119452567071e+07 7.6211595763311937e+07 7.6049619553965643e+07 7.5870736691935539e+07 7.5671390511770740e+07 7.5452166162371531e+07 7.5204524430396497e+07 7.4926875230542690e+07 7.4615189945070684e+07 7.4265133133024827e+07 7.3872233846033320e+07 7.3432007530072063e+07 7.2939464876263410e+07 7.2395452094846785e+07 7.1790199993905842e+07 7.1125894618586734e+07 7.0404072662200823e+07 6.9630395780842260e+07 6.8814496907903790e+07 6.7974711281634763e+07 6.7138295713551596e+07 6.6350101914926924e+07 6.5666080938555099e+07 6.5174330369506232e+07 6.4997403420967415e+07 6.5313506310322829e+07 6.6381869161808491e+07 6.8595330170981303e+07 7.2575743104175076e+07 7.9371246130652830e+07 1.6421851315747444e+07 +9.5845281760587824e+00 2.1904457325545055e+08 2.1902294330107230e+08 2.1898633235913321e+08 2.1893793675711903e+08 2.1888858388620505e+08 2.1885546381775740e+08 2.1884636700378001e+08 2.1884818400628549e+08 2.1884725793319911e+08 2.1884026434433001e+08 2.1882809390900159e+08 2.1881021647129196e+08 2.1878541325470138e+08 2.1875251009013379e+08 2.1871031251891178e+08 2.1865732608692598e+08 2.1859176975717717e+08 2.1851159730122325e+08 2.1841441820255467e+08 2.1829739494017708e+08 2.1815719009179521e+08 2.1798978344991738e+08 2.1778945322029155e+08 2.1754632812489864e+08 2.1725053546587026e+08 2.1689719899205592e+08 2.1647972217479131e+08 2.1598814314866993e+08 2.1541041520433769e+08 2.1473262280204847e+08 2.1393885386246160e+08 2.1301101227396235e+08 2.1192865162125412e+08 2.1066885799564871e+08 2.0920622273625505e+08 2.0751290789357337e+08 2.0555891942376110e+08 2.0331261496768126e+08 2.0074158235955384e+08 1.9781391116200593e+08 1.9423702848304838e+08 1.9018396660904577e+08 1.8563509476988381e+08 1.8058658945420533e+08 1.7505569325179917e+08 1.6908528800481024e+08 1.6274658780095834e+08 1.5613864034213996e+08 1.4938380479864615e+08 1.4261806295274675e+08 1.3597858677225113e+08 1.2959359806711319e+08 1.2357163046985675e+08 1.1798570250243522e+08 1.1287681676900722e+08 1.0825906438969207e+08 1.0412161140757500e+08 1.0043863122614264e+08 9.7174133132023498e+07 9.4291812570906296e+07 9.1752031039463833e+07 8.9521604399334788e+07 8.7566277482386023e+07 8.5861072907919422e+07 8.4379267714009285e+07 8.3098080274431288e+07 8.1999865522119328e+07 8.1065190700512752e+07 8.0275243275866270e+07 7.9616462391765475e+07 7.9071447581139028e+07 7.8628056837307066e+07 7.8271975925863042e+07 7.7991172883436531e+07 7.7769022485592157e+07 7.7589177778314188e+07 7.7439835855405107e+07 7.7309571334312692e+07 7.7186819076286644e+07 7.7100008485769689e+07 7.7012371422965005e+07 7.6922958364622757e+07 7.6829309835295990e+07 7.6732702584973738e+07 7.6630328171279237e+07 7.6525784915272743e+07 7.6409520902843967e+07 7.6285093858070225e+07 7.6150214229550347e+07 7.6003094165095791e+07 7.5841561119623065e+07 7.5663167674559578e+07 7.5464367008679360e+07 7.5245742105264679e+07 7.4998777901746139e+07 7.4721888324916780e+07 7.4411055778645173e+07 7.4061956682962835e+07 7.3670132321181253e+07 7.3231110408396095e+07 7.2739915395215988e+07 7.2197390633648857e+07 7.1593794418209687e+07 7.0931306487649202e+07 7.0211459331355989e+07 6.9439899116168588e+07 6.8626232421517044e+07 6.7788744323796362e+07 6.6954617165293209e+07 6.6168579452034421e+07 6.5486429862035885e+07 6.4996024660959177e+07 6.4819581875403509e+07 6.5134819987058833e+07 6.6200259958339199e+07 6.8407665298528984e+07 7.2377188640171438e+07 7.9154099940944955e+07 1.6365896536630176e+07 +9.5894964988330411e+00 2.1860516051744708e+08 2.1858357330117211e+08 2.1854703379620945e+08 2.1849872997031015e+08 2.1844946703953215e+08 2.1841639881739464e+08 2.1840730035759956e+08 2.1840908889286593e+08 2.1840813458495542e+08 2.1840111836871326e+08 2.1838892776294276e+08 2.1837103229447687e+08 2.1834621404522127e+08 2.1831329928304657e+08 2.1827109376727247e+08 2.1821810349648255e+08 2.1815254793454310e+08 2.1807238128170282e+08 2.1797521350790048e+08 2.1785820775554079e+08 2.1771802744424441e+08 2.1755065356463674e+08 2.1735036683908692e+08 2.1710730050283051e+08 2.1681158237486175e+08 2.1645833577649757e+08 2.1604096915453658e+08 2.1554952649332416e+08 2.1497196743645221e+08 2.1429438435505274e+08 2.1350087522585431e+08 2.1257335676287308e+08 2.1149139891120780e+08 2.1023210857459909e+08 2.0877010344531113e+08 2.0707757879965568e+08 2.0512458211945844e+08 2.0287952241191766e+08 2.0031005010130861e+08 1.9738432968464857e+08 1.9381007849767357e+08 1.8976032348089689e+08 1.8521556799929121e+08 1.8017212476538751e+08 1.7464736098813292e+08 1.6868425310927111e+08 1.6235405851768515e+08 1.5575579668836826e+08 1.4901171296073288e+08 1.4225758994294363e+08 1.3563032986774534e+08 1.2925783311909622e+08 1.2324829510952853e+08 1.1767444031805602e+08 1.1257703328465755e+08 1.0796999125376658e+08 1.0384238261188553e+08 1.0016834227416825e+08 9.6911891018422127e+07 9.4036757331528366e+07 9.1503363423420593e+07 8.9278581479836985e+07 8.7328226484028339e+07 8.5627372089876428e+07 8.4149356854602173e+07 8.2871453096864328e+07 8.1776057388463393e+07 8.0843785894505620e+07 8.0055873877483144e+07 7.9398794283035517e+07 7.8855192084415644e+07 7.8412955241632462e+07 7.8057806154394180e+07 7.7777742695066407e+07 7.7556181994144201e+07 7.7376819284961805e+07 7.7227880836739630e+07 7.7097970283977419e+07 7.6975553028236523e+07 7.6888979824083135e+07 7.6801582559330955e+07 7.6712414223944128e+07 7.6619022034341291e+07 7.6522679229782179e+07 7.6420585164078087e+07 7.6316327736228853e+07 7.6200381974319771e+07 7.6076295522586226e+07 7.5941785096296027e+07 7.5795067736603007e+07 7.5633976844895840e+07 7.5456071701346561e+07 7.5257815305894926e+07 7.5039788483744726e+07 7.4793500264488131e+07 7.4517368579450563e+07 7.4207386828889400e+07 7.3859243266855240e+07 7.3468491380496413e+07 7.3030671125935927e+07 7.2540820681607023e+07 7.1999780550056636e+07 7.1397836446275771e+07 7.0737161818464622e+07 7.0019284961646050e+07 6.9249836588740706e+07 6.8438396985188454e+07 6.7603201179797485e+07 6.6771357215158150e+07 6.5987470674838141e+07 6.5307188206342399e+07 6.4818125307031207e+07 6.4642165580466568e+07 6.4956540885140307e+07 6.6019064637412973e+07 6.8220428109467566e+07 7.2179086676180646e+07 7.8937448623195365e+07 1.6310119294079565e+07 +9.5944648216072999e+00 2.1816622651058447e+08 2.1814468039269295e+08 2.1810821192473146e+08 2.1806000010699043e+08 2.1801082701908606e+08 2.1797781062976965e+08 2.1796871058957094e+08 2.1797047076679412e+08 2.1796948835087422e+08 2.1796244964710513e+08 2.1795023903286406e+08 2.1793232572332036e+08 2.1790749266228947e+08 2.1787456656019858e+08 2.1783235340089276e+08 2.1777935964397672e+08 2.1771380526262134e+08 2.1763364489749661e+08 2.1753648901833522e+08 2.1741950144615635e+08 2.1727934646039492e+08 2.1711200627090174e+08 2.1691176414301422e+08 2.1666875787010419e+08 2.1637311585007372e+08 2.1601996101188552e+08 2.1560270680172986e+08 2.1511140309565282e+08 2.1453401594608417e+08 2.1385664569719094e+08 2.1306340045007443e+08 2.1213620981968087e+08 2.1105466018913490e+08 2.0979587935530135e+08 2.0833451144438717e+08 2.0664278503163147e+08 2.0469078918715301e+08 2.0244698432472715e+08 1.9987908346617550e+08 1.9695532600396088e+08 1.9338372040665117e+08 1.8933728717014271e+08 1.8479666343317282e+08 1.7975829762730068e+08 1.7423968093366277e+08 1.6828388363350868e+08 1.6196220560359848e+08 1.5537363731791797e+08 1.4864030966124782e+08 1.4189780569829246e+08 1.3528275788117009e+08 1.2892274548475088e+08 1.2292562633482192e+08 1.1736383164989558e+08 1.1227788875454892e+08 1.0768154183013014e+08 1.0356376227675472e+08 9.9898647029664695e+07 9.6650228691949457e+07 9.3782269006299764e+07 9.1255250977778241e+07 8.9036103152509794e+07 8.7090710622648865e+07 8.5394198048495889e+07 8.3919965427024022e+07 8.2645338943745047e+07 8.1552756749948233e+07 8.0622883844291821e+07 7.9837003196420044e+07 7.9181621494502246e+07 7.8639429060053721e+07 7.8198343768042609e+07 7.7844124581179515e+07 7.7564799154379934e+07 7.7343826891519561e+07 7.7164945129164323e+07 7.7016409260262027e+07 7.6886851880378053e+07 7.6764768867468491e+07 7.6678432509193197e+07 7.6591274495908827e+07 7.6502350325250223e+07 7.6409213890651956e+07 7.6313134928532392e+07 7.6211320570693359e+07 7.6107348320554525e+07 7.5991720083091930e+07 7.5867973447388932e+07 7.5733831380977035e+07 7.5587515807388842e+07 7.5426866060846850e+07 7.5249448104956791e+07 7.5051734737825409e+07 7.4834304634150133e+07 7.4588690857193962e+07 7.4313315335040957e+07 7.4004182439476416e+07 7.3656992231462181e+07 7.3267310374195635e+07 7.2830689036822960e+07 7.2342180093771398e+07 7.1802621207264274e+07 7.1202325446630105e+07 7.0543459985417873e+07 6.9827548933829367e+07 6.9060207586011708e+07 6.8250989993559092e+07 6.7418081251815706e+07 6.6588515272572130e+07 6.5806774999755301e+07 6.5128355393778645e+07 6.4640631734381340e+07 6.4465153964475825e+07 6.4778668430000886e+07 6.5838282615311854e+07 6.8033618000523612e+07 7.1981436573739454e+07 7.8721291479168177e+07 1.6254519086047338e+07 +9.5994331443815586e+00 2.1772776878935122e+08 2.1770626548056424e+08 2.1766986801880559e+08 2.1762174836045033e+08 2.1757266502941254e+08 2.1753970045864430e+08 2.1753059890169102e+08 2.1753233082950762e+08 2.1753132043207064e+08 2.1752425938011628e+08 2.1751202891894320e+08 2.1749409795790049e+08 2.1746925030478674e+08 2.1743631311960298e+08 2.1739409261726716e+08 2.1734109572546807e+08 2.1727554293613359e+08 2.1719538934160370e+08 2.1709824592448959e+08 2.1698127720010850e+08 2.1684114832517365e+08 2.1667384275028804e+08 2.1647364630945963e+08 2.1623070139892703e+08 2.1593513705749378e+08 2.1558207585694474e+08 2.1516493626610062e+08 2.1467377409530723e+08 2.1409656186045939e+08 2.1341940794123733e+08 2.1262643063174623e+08 2.1169957252086189e+08 2.1061843650865155e+08 2.0936017136524019e+08 2.0789944772935581e+08 2.0620852754988551e+08 2.0425754154529360e+08 2.0201500157616520e+08 1.9944868326917827e+08 1.9652690087223348e+08 1.9295795488538828e+08 1.8891485826524079e+08 1.8437838156326979e+08 1.7934510842478070e+08 1.7383265335814446e+08 1.6788417972580031e+08 1.6157102908241898e+08 1.5499216213019386e+08 1.4826959468000436e+08 1.4153870988830844e+08 1.3493587038391876e+08 1.2858833465270916e+08 1.2260362356732894e+08 1.1705387586821307e+08 1.1197938251167588e+08 1.0739371542639825e+08 1.0328574969363829e+08 9.9629544775248975e+07 9.6389145430771992e+07 9.3528346872786984e+07 9.1007692981203690e+07 8.8794168698497266e+07 8.6853729182659060e+07 8.5161550071521401e+07 8.3691092722520590e+07 8.2419737109737530e+07 8.1329962904210493e+07 8.0402483850291207e+07 7.9618630535581276e+07 7.8964943331294850e+07 7.8424157815455884e+07 7.7984221725703180e+07 7.7630930516956180e+07 7.7352341573636889e+07 7.7131956491340920e+07 7.6953554625798345e+07 7.6805420441856429e+07 7.6676215440685570e+07 7.6554465912136957e+07 7.6468365860076874e+07 7.6381446552353308e+07 7.6292765989134237e+07 7.6199884725538537e+07 7.6104069003415987e+07 7.6002533714297205e+07 7.5898845992180139e+07 7.5783534554194018e+07 7.5660126958561614e+07 7.5526352411065176e+07 7.5380437706253663e+07 7.5220228097608387e+07 7.5043296216887906e+07 7.4846124637808651e+07 7.4629289891742289e+07 7.4384349017223626e+07 7.4109727931678474e+07 7.3801441953040138e+07 7.3455202922506705e+07 7.3066588651369721e+07 7.2631163494077101e+07 7.2143992989154547e+07 7.1605911967442706e+07 7.1007260786835507e+07 7.0350200361831635e+07 6.9636250627590194e+07 6.8871011494593337e+07 6.8064010840416491e+07 6.7233383940990612e+07 6.6406090746153817e+07 6.5626491842195496e+07 6.4949930845828474e+07 6.4463543368842691e+07 6.4288546454789147e+07 6.4601202046370044e+07 6.5657913307044692e+07 6.7847234367334381e+07 7.1784237693544477e+07 7.8505627809647337e+07 1.6199095411612215e+07 +9.6044014671558173e+00 2.1728979176239136e+08 2.1726833013181400e+08 2.1723200360319760e+08 2.1718397590615889e+08 2.1713498225996450e+08 2.1710206949811423e+08 2.1709296648614460e+08 2.1709467027304998e+08 2.1709363202046502e+08 2.1708654875948283e+08 2.1707429861231810e+08 2.1705635018872368e+08 2.1703148816277948e+08 2.1699854015030557e+08 2.1695631260419974e+08 2.1690331292775288e+08 2.1683776214012092e+08 2.1675761579724753e+08 2.1666048540758395e+08 2.1654353619607019e+08 2.1640343421457508e+08 2.1623616417504895e+08 2.1603601450647432e+08 2.1579313225219804e+08 2.1549764715388975e+08 2.1514468146088231e+08 2.1472765868816698e+08 2.1423664062233064e+08 2.1365960629777136e+08 2.1298267219133171e+08 2.1218996685793874e+08 2.1126344593436149e+08 2.1018272891464007e+08 2.0892498562227544e+08 2.0746491328759751e+08 2.0577480730527976e+08 2.0382484010317111e+08 2.0158357502769455e+08 1.9901885031684375e+08 1.9609905503323972e+08 1.9253278260062164e+08 1.8849303734631649e+08 1.8396072287274265e+08 1.7893255753491181e+08 1.7342627852374136e+08 1.6748514152730820e+08 1.6118052897105047e+08 1.5461137101825872e+08 1.4789956779122165e+08 1.4118030217708981e+08 1.3458966694285995e+08 1.2825460010749352e+08 1.2228228622498067e+08 1.1674457234023695e+08 1.1168151388625650e+08 1.0710651134767756e+08 1.0300834415191557e+08 9.9361034791299596e+07 9.6128640511260927e+07 9.3274990206684306e+07 9.0760688710817575e+07 8.8552777397706270e+07 8.6617281447055161e+07 8.4929427445590943e+07 8.3462738031232864e+07 8.2194646888193190e+07 8.1107675147736654e+07 8.0182585211742371e+07 7.9400755196895421e+07 7.8748759097648248e+07 7.8209377656800419e+07 7.7770588422723472e+07 7.7418223271611437e+07 7.7140369264203906e+07 7.6920570106216311e+07 7.6742647088780612e+07 7.6594913696612880e+07 7.6466060280945867e+07 7.6344643479314417e+07 7.6258779194583490e+07 7.6172098047378317e+07 7.6083660534962863e+07 7.5991033859290823e+07 7.5895480775548667e+07 7.5794223916862100e+07 7.5690820074094176e+07 7.5575824711530820e+07 7.5452755381235674e+07 7.5319347512769446e+07 7.5173832760617986e+07 7.5014062284072995e+07 7.4837615367901161e+07 7.4640984338299572e+07 7.4424743590900779e+07 7.4180474081165925e+07 7.3906605708224893e+07 7.3599164711318463e+07 7.3253874684805959e+07 7.2866325560323834e+07 7.2432093849886417e+07 7.1946258724238530e+07 7.1409652191923872e+07 7.0812641833452374e+07 7.0157382320302248e+07 6.9445389421816900e+07 6.8682247700146288e+07 6.7877458918633774e+07 6.7049108647620343e+07 6.6224083043467037e+07 6.5446620616823927e+07 6.4771913983232215e+07 6.4286859635452002e+07 6.4112342477968499e+07 6.4424141157901898e+07 6.5477956127029136e+07 6.7661276604736462e+07 7.1587489395310804e+07 7.8290456914377093e+07 1.6143847770978870e+07 +9.6093697899300761e+00 2.1685229375880095e+08 2.1683087546251798e+08 2.1679461990549603e+08 2.1674668392616928e+08 2.1669777988709763e+08 2.1666491893297395e+08 2.1665581452603734e+08 2.1665749028021225e+08 2.1665642429806551e+08 2.1664931896674410e+08 2.1663704929432791e+08 2.1661908359651870e+08 2.1659420741633657e+08 2.1656124883198345e+08 2.1651901454011181e+08 2.1646601242775702e+08 2.1640046405048794e+08 2.1632032543835124e+08 2.1622320863943028e+08 2.1610627960319236e+08 2.1596620529489455e+08 2.1579897170787135e+08 2.1559886989245573e+08 2.1535605158328086e+08 2.1506064728670865e+08 2.1470777896378559e+08 2.1429087519906300e+08 2.1380000379776612e+08 2.1322315036674973e+08 2.1254643954163319e+08 2.1175401020655864e+08 2.1082783111824727e+08 2.0974753844254261e+08 2.0849032313539910e+08 2.0703090909676370e+08 2.0534162523954278e+08 2.0339268576095539e+08 2.0115270553178707e+08 1.9858958540655792e+08 1.9567178922162646e+08 1.9210820421093720e+08 1.8807182498544538e+08 1.8354368783713016e+08 1.7852064532692033e+08 1.7302055668534970e+08 1.6708676917240024e+08 1.6079070527968574e+08 1.5423126386916995e+08 1.4753022876361594e+08 1.4082258222384265e+08 1.3424414712030274e+08 1.2792154132950462e+08 1.2196161372239925e+08 1.1643592042980441e+08 1.1138428220580575e+08 1.0681992889660709e+08 1.0273154493877569e+08 9.9093116356187135e+07 9.5868713208244368e+07 9.3022198282082215e+07 9.0514237442255393e+07 8.8311928528363913e+07 8.6381366697534204e+07 8.4697829455863595e+07 8.3234900641867056e+07 8.1970067571254998e+07 8.0885892775901094e+07 7.9963187226824671e+07 7.9183376481019616e+07 7.8533068096576348e+07 7.7995087889326200e+07 7.7557443166178972e+07 7.7206002153877929e+07 7.6928881536287710e+07 7.6709667047832757e+07 7.6532221831016481e+07 7.6384888338560313e+07 7.6256385716303974e+07 7.6135300885158539e+07 7.6049671829646721e+07 7.5963228298582643e+07 7.5875033281219304e+07 7.5782660611154169e+07 7.5687369565117016e+07 7.5586390499460697e+07 7.5483269888218522e+07 7.5368589878212437e+07 7.5245858039536819e+07 7.5112816011349082e+07 7.4967700297173947e+07 7.4808367948378667e+07 7.4632404887512147e+07 7.4436313170548469e+07 7.4220665064906836e+07 7.3977065384448886e+07 7.3703948002644733e+07 7.3397350055035830e+07 7.3053006862097561e+07 7.2666520448376104e+07 7.2233479455340028e+07 7.1748976654572293e+07 7.1213841240968138e+07 7.0618467952223688e+07 6.9965005232278049e+07 6.9254964694368675e+07 6.8493915587352946e+07 6.7691333620166466e+07 6.6865254771062136e+07 6.6042491571312055e+07 6.5267160737296432e+07 6.4594304225650765e+07 6.4110579958277114e+07 6.3936541459632918e+07 6.4247485187511116e+07 6.5298410488747127e+07 6.7475744106578007e+07 7.1391191037664756e+07 7.8075778091974542e+07 1.6088775665476849e+07 +9.6143381127043348e+00 2.1641527894912001e+08 2.1639390230035624e+08 2.1635771770152560e+08 2.1630987360594380e+08 2.1626105907785457e+08 2.1622824993873355e+08 2.1621914419466856e+08 2.1622079202419746e+08 2.1621969843793446e+08 2.1621257117490271e+08 2.1620028213742119e+08 2.1618229935321814e+08 2.1615740923654562e+08 2.1612444033447504e+08 2.1608219959413683e+08 2.1602919539372429e+08 2.1596364983325812e+08 2.1588351942977309e+08 2.1578641678255343e+08 2.1566950858185756e+08 2.1552946272309595e+08 2.1536226650235531e+08 2.1516221361676764e+08 2.1491946053660887e+08 2.1462413859382850e+08 2.1427136949610823e+08 2.1385458692066354e+08 2.1336386473308277e+08 2.1278719516667372e+08 2.1211071107783225e+08 2.1131856174603018e+08 2.1039272912159514e+08 2.0931286611864084e+08 2.0805618490417245e+08 2.0659743612558642e+08 2.0490898228571206e+08 2.0296107941042244e+08 2.0072239393193954e+08 1.9816088932695493e+08 1.9524510416372621e+08 1.9168422036608505e+08 1.8765122174610490e+08 1.8312727692359996e+08 1.7810937216223434e+08 1.7261548809030196e+08 1.6668906278786331e+08 1.6040155801207584e+08 1.5385184056386614e+08 1.4716157736001965e+08 1.4046554968283334e+08 1.3389931047412205e+08 1.2758915779517522e+08 1.2164160547041734e+08 1.1612791949769029e+08 1.1108768679493603e+08 1.0653396737333573e+08 1.0245535133882891e+08 9.8825788746314272e+07 9.5609362794508979e+07 9.2769970371397287e+07 9.0268338449576601e+07 8.8071621367298618e+07 8.6145984214387134e+07 8.4466755386293843e+07 8.3007579841898769e+07 8.1745998449921623e+07 8.0664615082716674e+07 7.9744289192692146e+07 7.8966493687732086e+07 7.8317869630080208e+07 7.7781287817156717e+07 7.7344785262100458e+07 7.6994266471463576e+07 7.6717877699192882e+07 7.6499246626710340e+07 7.6322278164246038e+07 7.6175343680591449e+07 7.6047191060727715e+07 7.5926437444816321e+07 7.5841043081093997e+07 7.5754836622678846e+07 7.5666883545355275e+07 7.5574764299456626e+07 7.5479734691202372e+07 7.5379032782113612e+07 7.5276194755572468e+07 7.5161829376163810e+07 7.5039434256513104e+07 7.4906757231204629e+07 7.4762039641394615e+07 7.4603144417475387e+07 7.4427664104379371e+07 7.4232110465043724e+07 7.4017053645988017e+07 7.3774122261630431e+07 7.3501754151920214e+07 7.3195997323884025e+07 7.2852598797287181e+07 7.2467172661745712e+07 7.2035319660649613e+07 7.1552146134693280e+07 7.1018478473995298e+07 7.0424738507790774e+07 6.9773068468428746e+07 6.9064975822274193e+07 6.8306014540196702e+07 6.7505634336061358e+07 6.6681821709815264e+07 6.5861315735614948e+07 6.5088111616574734e+07 6.4417100992000423e+07 6.3934703760611944e+07 6.3761142824727423e+07 6.4071233557281882e+07 6.5119275804711588e+07 6.7290636265930310e+07 7.1195341978465453e+07 7.7861590640162557e+07 1.6033878597559519e+07 +9.6193064354785935e+00 2.1597874708831063e+08 2.1595741246786594e+08 2.1592129832638547e+08 2.1587354611204663e+08 2.1582482099422428e+08 2.1579206368155226e+08 2.1578295665635127e+08 2.1578457666913405e+08 2.1578345560372514e+08 2.1577630654703313e+08 2.1576399830443922e+08 2.1574599862106618e+08 2.1572109478507206e+08 2.1568811581883547e+08 2.1564586892617199e+08 2.1559286298382992e+08 2.1552732064600232e+08 2.1544719892645910e+08 2.1535011099043900e+08 2.1523322428253970e+08 2.1509320764673832e+08 2.1492604970231771e+08 2.1472604681947580e+08 2.1448336024685177e+08 2.1418812220388371e+08 2.1383545417912489e+08 2.1341879496554711e+08 2.1292822453045192e+08 2.1235174178803286e+08 2.1167548787553895e+08 2.1088362253581175e+08 2.0995814098429543e+08 2.0887871295995229e+08 2.0762257191938871e+08 2.0616449533396652e+08 2.0447687936789173e+08 2.0253002193365705e+08 2.0029264106286833e+08 1.9773276285812831e+08 1.9481900057722551e+08 1.9126083170755050e+08 1.8723122818364537e+08 1.8271149059156376e+08 1.7769873839468372e+08 1.7221107297865877e+08 1.6629202249396610e+08 1.6001308716530064e+08 1.5347310097712567e+08 1.4679361333794799e+08 1.4010920420301408e+08 1.3355515655746137e+08 1.2725744897689609e+08 1.2132226087634286e+08 1.1582056890168959e+08 1.1079172697558452e+08 1.0624862607565492e+08 1.0217976263505895e+08 9.8559051236173138e+07 9.5350588540843278e+07 9.2518305745367348e+07 9.0022991005276024e+07 8.7831855190059692e+07 8.5911133276519626e+07 8.4236204519455329e+07 8.2780774917673185e+07 8.1522438814011097e+07 8.0443841361271948e+07 7.9525890405093253e+07 7.8750106115577579e+07 7.8103162999141142e+07 7.7567976743358314e+07 7.7132614015551463e+07 7.6783015531176716e+07 7.6507357061074659e+07 7.6289308152504355e+07 7.6112815399390131e+07 7.5966279034884796e+07 7.5838475627355069e+07 7.5718052472403750e+07 7.5632892263858750e+07 7.5546922335345596e+07 7.5459210643827423e+07 7.5367344241445333e+07 7.5272575471994847e+07 7.5172150083962739e+07 7.5069593996149659e+07 7.4955542526418626e+07 7.4833483354345009e+07 7.4701170495576352e+07 7.4556850118126348e+07 7.4398391017466262e+07 7.4223392346117541e+07 7.4028375551151842e+07 7.3813908665565893e+07 7.3571644046232373e+07 7.3300023492168173e+07 7.2995105856617644e+07 7.2652649832197860e+07 7.2268281545919225e+07 7.1837613815145940e+07 7.1355766518288568e+07 7.0823563249407277e+07 7.0231452864065021e+07 6.9581571398366719e+07 6.8875422181674808e+07 6.8118543941506162e+07 6.7320360456571206e+07 6.6498808861547694e+07 6.5680554941441387e+07 6.4909472666619860e+07 6.4240303700478941e+07 6.3759230464902051e+07 6.3586145997219205e+07 6.3895385688391611e+07 6.4940551486725658e+07 6.7105952474848866e+07 7.0999941574601933e+07 7.7647893855525076e+07 1.5979156070803037e+07 +9.6242747582528523e+00 2.1554269936501116e+08 2.1552140661091635e+08 2.1548536327814943e+08 2.1543770258988395e+08 2.1538906679558381e+08 2.1535636131790990e+08 2.1534725306603074e+08 2.1534884536978173e+08 2.1534769694944367e+08 2.1534052623728791e+08 2.1532819894909003e+08 2.1531018255290863e+08 2.1528526521433678e+08 2.1525227643619710e+08 2.1521002368661886e+08 2.1515701634761393e+08 2.1509147763597593e+08 2.1501136507467371e+08 2.1491429240661624e+08 2.1479742784657633e+08 2.1465744120468971e+08 2.1449032244322735e+08 2.1429037063098681e+08 2.1404775183973813e+08 2.1375259923654699e+08 2.1340003412506965e+08 2.1298350043721384e+08 2.1249308428319833e+08 2.1191679131162992e+08 2.1124077100183842e+08 2.1044919362607163e+08 2.0952406773727736e+08 2.0844507997473812e+08 2.0718948516225016e+08 2.0573208767236763e+08 2.0404531740050682e+08 2.0209951420428646e+08 1.9986344775040594e+08 1.9730520677149418e+08 1.9439347917085975e+08 1.9083803886821058e+08 1.8681184484516189e+08 1.8229632929220113e+08 1.7728874437025490e+08 1.7180731158294702e+08 1.6589564840392178e+08 1.5962529272989538e+08 1.5309504497784340e+08 1.4642633644936386e+08 1.3975354542849177e+08 1.3321168491922744e+08 1.2692641434308438e+08 1.2100357934411842e+08 1.1551386799659570e+08 1.1049640206691258e+08 1.0596390429881027e+08 1.0190477810780722e+08 9.8292903098203331e+07 9.5092389716765836e+07 9.2267203673074380e+07 8.9778194380328819e+07 8.7592629270500973e+07 8.5676813161589980e+07 8.4006176136724994e+07 8.2554485154300794e+07 8.1299387952117324e+07 8.0223570903439030e+07 7.9307990159009427e+07 7.8534213062050179e+07 7.7888947503687322e+07 7.7355153970030159e+07 7.6920928730516955e+07 7.6572248638699651e+07 7.6297318929306269e+07 7.6079850933811978e+07 7.5903832846311063e+07 7.5757693712307751e+07 7.5630238728249222e+07 7.5510145281061113e+07 7.5425218691841364e+07 7.5339484751242667e+07 7.5252013892128706e+07 7.5160399753505006e+07 7.5065891224660769e+07 7.4965741723049149e+07 7.4863466928920284e+07 7.4749728649045825e+07 7.4628004654168591e+07 7.4496055126878932e+07 7.4352131050902173e+07 7.4194107073570460e+07 7.4019588939541429e+07 7.3825107757469431e+07 7.3611229454055354e+07 7.3369630070921645e+07 7.3098755358273491e+07 7.2794674991126791e+07 7.2453159307835579e+07 7.2069846445224330e+07 7.1640361267176896e+07 7.1159837158005759e+07 7.0629094924808174e+07 7.0038610383857146e+07 6.9390513390992805e+07 6.8686303147742569e+07 6.7931503173441529e+07 6.7135511370915323e+07 6.6316215622970037e+07 6.5500208592948213e+07 6.4731243298608869e+07 6.4063911768289551e+07 6.3584159492749780e+07 6.3411550400229357e+07 6.3719941001266263e+07 6.4762236945677124e+07 6.6921692124646842e+07 7.0804989181978181e+07 7.7434687033669755e+07 1.5924607589905219e+07 +9.6292430810271110e+00 2.1510713736542231e+08 2.1508588569674000e+08 2.1504991333470812e+08 2.1500234417784694e+08 2.1495379763591778e+08 2.1492114399487883e+08 2.1491203456919619e+08 2.1491359927157760e+08 2.1491242362059814e+08 2.1490523139038691e+08 2.1489288521548659e+08 2.1487485229265913e+08 2.1484992166712734e+08 2.1481692332916284e+08 2.1477466501672643e+08 2.1472165662478739e+08 2.1465612194201881e+08 2.1457601901109841e+08 2.1447896216590694e+08 2.1436212040628305e+08 2.1422216452569109e+08 2.1405508585015762e+08 2.1385518617289448e+08 2.1361263643161771e+08 2.1331757080192718e+08 2.1296511043665460e+08 2.1254870442969528e+08 2.1205844507501274e+08 2.1148234480948052e+08 2.1080656151439890e+08 2.1001527605793625e+08 2.0909051040197107e+08 2.0801196816162911e+08 2.0675692560553020e+08 2.0530021408261296e+08 2.0361429728982905e+08 2.0166955708706728e+08 1.9943481481167617e+08 1.9687822182903212e+08 1.9396854064507145e+08 1.9041584247280025e+08 1.8639307226956984e+08 1.8188179346892026e+08 1.7687939042723870e+08 1.7140420412841177e+08 1.6549994062355867e+08 1.5923817469014230e+08 1.5271767242860365e+08 1.4605974644055134e+08 1.3939857299831411e+08 1.3286889510396507e+08 1.2659605335842931e+08 1.2068556027404600e+08 1.1520781613366143e+08 1.1020171138545577e+08 1.0567980133576670e+08 1.0163039703550066e+08 9.8027343603092313e+07 9.4834765589510188e+07 9.2016663422093570e+07 8.9533947844233245e+07 8.7353942881306663e+07 8.5443023145782560e+07 8.3776669518298984e+07 8.2328709835689276e+07 8.1076845151779816e+07 8.0003803000020996e+07 7.9090587748170450e+07 7.8318813823635772e+07 7.7675222442591250e+07 7.7142818798286438e+07 7.6709728709929273e+07 7.6361965098813593e+07 7.6087762610073432e+07 7.5870874278303355e+07 7.5695329813983396e+07 7.5549587023011088e+07 7.5422479674562559e+07 7.5302715183034003e+07 7.5218021678021505e+07 7.5132523184117720e+07 7.5045292604783520e+07 7.4953930150989756e+07 7.4859681265504435e+07 7.4759807016538411e+07 7.4657812872026771e+07 7.4544387063201398e+07 7.4422997476205006e+07 7.4291410446555078e+07 7.4147881762479261e+07 7.3990291909837931e+07 7.3816253210294649e+07 7.3622306411392242e+07 7.3409015340956047e+07 7.3168079667348206e+07 7.2897949084541738e+07 7.2594704064322665e+07 7.2254126564212635e+07 7.1871866703244299e+07 7.1443561364087135e+07 7.0964357405713007e+07 7.0435072856798589e+07 6.9846210429256171e+07 6.9199893814149678e+07 6.8497618094825402e+07 6.7744891617210463e+07 6.6951086467637777e+07 6.6134041390035972e+07 6.5320276093536668e+07 6.4553422922930844e+07 6.3887924611802451e+07 6.3409490265018530e+07 6.3237355456304520e+07 6.3544898915452167e+07 6.4584331591677397e+07 6.6737854605767667e+07 7.0610484155628189e+07 7.7221969469252199e+07 1.5870232660684489e+07 +9.6342114038013698e+00 2.1467206055769295e+08 2.1465085241406369e+08 2.1461494950994140e+08 2.1456747201023355e+08 2.1451901465984461e+08 2.1448641284903258e+08 2.1447730230262288e+08 2.1447883951088205e+08 2.1447763675254828e+08 2.1447042314176404e+08 2.1445805823876253e+08 2.1444000897484061e+08 2.1441506527769265e+08 2.1438205763053948e+08 2.1433979404837090e+08 2.1428678494633624e+08 2.1422125469341880e+08 2.1414116186325958e+08 2.1404412139366668e+08 2.1392730308433211e+08 2.1378737872972071e+08 2.1362034103980613e+08 2.1342049455725458e+08 2.1317801512944803e+08 2.1288303800095388e+08 2.1253068420767784e+08 2.1211440802790424e+08 2.1162430798077810e+08 2.1104840334405607e+08 2.1037286046159241e+08 2.0958187086326480e+08 2.0865746999096775e+08 2.0757937851089293e+08 2.0632489421242890e+08 2.0486887549739906e+08 2.0318381993307394e+08 2.0124015143760446e+08 1.9900674305499712e+08 1.9645180878508776e+08 1.9354418569199860e+08 1.8999424313745964e+08 1.8597491098761380e+08 1.8146788355690256e+08 1.7647067689636540e+08 1.7100175083294761e+08 1.6510489925242427e+08 1.5885173302347904e+08 1.5234098318648866e+08 1.4569384305270898e+08 1.3904428654684263e+08 1.3252678665141532e+08 1.2626636548326878e+08 1.2036820306323732e+08 1.1490241266161339e+08 1.0990765424496379e+08 1.0539631647704883e+08 1.0135661869435765e+08 9.7762372019248053e+07 9.4577715424829736e+07 9.1766684258192793e+07 8.9290250664996862e+07 8.7115795293581575e+07 8.5209762504095256e+07 8.3547683942947909e+07 8.2103448244478747e+07 8.0854809699232891e+07 7.9784536940662995e+07 7.8873682465303376e+07 7.8103907695827410e+07 7.7461987113734722e+07 7.6930970528169647e+07 7.6499013255948693e+07 7.6152164215226948e+07 7.5878687408756897e+07 7.5662377492611438e+07 7.5487305610222116e+07 7.5341958275994152e+07 7.5215197776483104e+07 7.5095761489421144e+07 7.5011300534388363e+07 7.4926036946761712e+07 7.4839046095458448e+07 7.4747934748312041e+07 7.4653944909690097e+07 7.4554345280660897e+07 7.4452631142531797e+07 7.4339517086974293e+07 7.4218461139709383e+07 7.4087235775048405e+07 7.3944101574691698e+07 7.3786944849530205e+07 7.3613384483288780e+07 7.3419970839633852e+07 7.3207265654797852e+07 7.2966992166272417e+07 7.2697604004094929e+07 7.2395192412184983e+07 7.2055550940413237e+07 7.1674341662556201e+07 7.1247213452461019e+07 7.0769326612341508e+07 7.0241496401134908e+07 6.9654252361357987e+07 6.9009712034938812e+07 6.8309366396378055e+07 6.7558708653113157e+07 6.6767085134296298e+07 6.5952285557861045e+07 6.5140756845677800e+07 6.4376010949152455e+07 6.3712341646750391e+07 6.3235222201669887e+07 6.3063560586929262e+07 6.3370258849711865e+07 6.4406834834004454e+07 6.6554439307706431e+07 7.0416425849696428e+07 7.7009740455954939e+07 1.5816030790078819e+07 +9.6391797265756285e+00 2.1423747256537828e+08 2.1421630612518230e+08 2.1418047316720483e+08 2.1413308720699766e+08 2.1408471899844113e+08 2.1405216900772572e+08 2.1404305739359087e+08 2.1404456721476802e+08 2.1404333747206417e+08 2.1403610261753640e+08 2.1402371914477825e+08 2.1400565372467032e+08 2.1398069717021170e+08 2.1394768046406692e+08 2.1390541190445635e+08 2.1385240243368530e+08 2.1378687701013857e+08 2.1370679474942124e+08 2.1360977120601711e+08 2.1349297699461234e+08 2.1335308492752230e+08 2.1318608911925527e+08 2.1298629688739067e+08 2.1274388903146198e+08 2.1244900192553550e+08 2.1209675652253845e+08 2.1168061230763465e+08 2.1119067406595263e+08 2.1061496796890908e+08 2.0993966888285518e+08 2.0914897906492254e+08 2.0822494750792721e+08 2.0714731200298843e+08 2.0589339193760771e+08 2.0443807284035063e+08 2.0275388621791524e+08 2.0081129810304418e+08 1.9857923327992859e+08 1.9602596838488454e+08 1.9312041499481338e+08 1.8957324147000775e+08 1.8555736152185804e+08 1.8105459998371163e+08 1.7606260410085204e+08 1.7059995190736297e+08 1.6471052438294521e+08 1.5846596770116043e+08 1.5196497710213861e+08 1.4532862602104202e+08 1.3869068570327032e+08 1.3218535909725039e+08 1.2593735017461488e+08 1.2005150710492268e+08 1.1459765692583950e+08 1.0961422995661671e+08 1.0511344901074407e+08 1.0108344235854140e+08 9.7497987613547042e+07 9.4321238486772344e+07 9.1517265445662022e+07 8.9047102109095156e+07 8.6878185777299613e+07 8.4977030510236964e+07 8.3319218688431382e+07 8.1878699662253827e+07 8.0633280879769862e+07 7.9565772014003336e+07 7.8657273602006227e+07 7.7889493972994938e+07 7.7249240813986734e+07 7.6719608458737090e+07 7.6288781669521660e+07 7.5942845290838674e+07 7.5670092629652843e+07 7.5454359882531494e+07 7.5279759542100728e+07 7.5134806779548392e+07 7.5008392343202233e+07 7.4889283510728002e+07 7.4805054572013021e+07 7.4720025351000190e+07 7.4633273676688254e+07 7.4542412858964533e+07 7.4448681471687391e+07 7.4349355830652907e+07 7.4247921056610316e+07 7.4135118037630305e+07 7.4014394963083446e+07 7.3883530431880921e+07 7.3740789808381885e+07 7.3584065215023443e+07 7.3410982082356542e+07 7.3218100367821038e+07 7.3005979723226577e+07 7.2766366897513598e+07 7.2497719449313998e+07 7.2196139369838804e+07 7.1857431774680123e+07 7.1477270664919570e+07 7.1051316877972111e+07 7.0574744127849326e+07 7.0048364912640050e+07 6.9462735540486306e+07 6.8819967419531569e+07 6.8121547425057173e+07 6.7372953660716355e+07 6.6583506757766575e+07 6.5770947520741485e+07 6.4961650251187176e+07 6.4199006785935670e+07 6.3537162287944302e+07 6.3061354721924953e+07 6.2890165212982580e+07 6.3196020222112939e+07 6.4229746081078075e+07 6.6371445619244866e+07 7.0222813617544979e+07 7.6797999286517054e+07 1.5762001486144559e+07 +9.6441480493498872e+00 2.1380337257117060e+08 2.1378224740180567e+08 2.1374648570534322e+08 2.1369919087692747e+08 2.1365091176811495e+08 2.1361841358751318e+08 2.1360930096033031e+08 2.1361078350093365e+08 2.1360952689637685e+08 2.1360227093517846e+08 2.1358986905038676e+08 2.1357178765838957e+08 2.1354681846046197e+08 2.1351379294472364e+08 2.1347151969846511e+08 2.1341851019927996e+08 2.1335299000314778e+08 2.1327291877863878e+08 2.1317591271007949e+08 2.1305914324154040e+08 2.1291928422081718e+08 2.1275233118673420e+08 2.1255259425689021e+08 2.1231025922625011e+08 2.1201546365832037e+08 2.1166332845644122e+08 2.1124731833561605e+08 2.1075754438674808e+08 2.1018203972860533e+08 2.0950698780850419e+08 2.0871660167689306e+08 2.0779294394713351e+08 2.0671576961008218e+08 2.0546241972658053e+08 2.0400780702657425e+08 2.0232449702398098e+08 2.0038299792142183e+08 1.9815228627734661e+08 1.9560070136497933e+08 1.9269722922865883e+08 1.8915283807016981e+08 1.8514042438673791e+08 1.8064194316902408e+08 1.7565517235606804e+08 1.7019880755513939e+08 1.6431681610039800e+08 1.5808087868798357e+08 1.5158965402053025e+08 1.4496409507589182e+08 1.3833777009205070e+08 1.3184461197282697e+08 1.2560900688518636e+08 1.1973547178946409e+08 1.1429354826895957e+08 1.0932143782886055e+08 1.0483119822274897e+08 1.0081086730008753e+08 9.7234189650896907e+07 9.4065334037572995e+07 9.1268406247291505e+07 8.8804501441635713e+07 8.6641113600725159e+07 8.4744826436535954e+07 8.3091273031020969e+07 8.1654463369377971e+07 8.0412257977571890e+07 7.9347507507529110e+07 7.8441360448973104e+07 7.7675571948550135e+07 7.7036982839249507e+07 7.6508731888156459e+07 7.6079033250843480e+07 7.5734007627470046e+07 7.5461977576247662e+07 7.5246820752849400e+07 7.5072690915727049e+07 7.4928131840795919e+07 7.4802062683049485e+07 7.4683280556169659e+07 7.4599283101076499e+07 7.4514487707839459e+07 7.4427974660265133e+07 7.4337363795497581e+07 7.4243890264841586e+07 7.4144837980899870e+07 7.4043681929631099e+07 7.3931189231491461e+07 7.3810798263696134e+07 7.3680293735786423e+07 7.3537945783508852e+07 7.3381652327639431e+07 7.3209045330560595e+07 7.3016694320795164e+07 7.2805156872986659e+07 7.2566203189988062e+07 7.2298294751594722e+07 7.1997544271486282e+07 7.1659768404332057e+07 7.1280653051134929e+07 7.0855870985365450e+07 7.0380609301441714e+07 6.9855677745403633e+07 6.9271659325979665e+07 6.8630659333280131e+07 6.7934160552557409e+07 6.7187626018712714e+07 6.6400350723929361e+07 6.5590026672028534e+07 6.4782955710951678e+07 6.4022409841371424e+07 6.3362385949437052e+07 6.2887887244261920e+07 6.2717168754372530e+07 6.3022182449767105e+07 6.4053064740561962e+07 6.6188872928284399e+07 7.0029646811491728e+07 7.6586745252527431e+07 1.5708144258055381e+07 +9.6491163721241460e+00 2.1336976263624644e+08 2.1334867921109062e+08 2.1331298814643785e+08 2.1326578413395375e+08 2.1321759407161081e+08 2.1318514769518808e+08 2.1317603411194906e+08 2.1317748947828555e+08 2.1317620613404983e+08 2.1316892920224807e+08 2.1315650906294286e+08 2.1313841188282859e+08 2.1311343025457507e+08 2.1308039617747891e+08 2.1303811853475329e+08 2.1298510934633750e+08 2.1291959477383944e+08 2.1283953505099028e+08 2.1274254700363797e+08 2.1262580292044571e+08 2.1248597770193616e+08 2.1231906833075705e+08 2.1211938775058120e+08 2.1187712679375470e+08 2.1158242427301577e+08 2.1123040107578498e+08 2.1081452716928899e+08 2.1032491999102852e+08 2.0974961965827918e+08 2.0907481825983983e+08 2.0828473970357898e+08 2.0736146029400223e+08 2.0628475229487854e+08 2.0503197851566532e+08 2.0357807896169746e+08 2.0189565322182444e+08 1.9995525172250530e+08 1.9772590282944652e+08 1.9517600845362487e+08 1.9227462905975616e+08 1.8873303352917182e+08 1.8472410008866018e+08 1.8022991352471182e+08 1.7524838197019351e+08 1.6979831797242832e+08 1.6392377448387593e+08 1.5769646594240630e+08 1.5121501378071377e+08 1.4460024994191939e+08 1.3798553933271462e+08 1.3150454480488664e+08 1.2528133506403065e+08 1.1942009650338207e+08 1.1399008603032146e+08 1.0902927716755567e+08 1.0454956339644502e+08 1.0053889278888807e+08 9.6970977394153595e+07 9.3810001337771520e+07 9.1020105924191669e+07 8.8562447926173300e+07 8.6404578031133607e+07 8.4513149554186881e+07 8.2863846246075511e+07 8.1430738645075411e+07 8.0191740275544107e+07 7.9129742707742825e+07 7.8225942295793593e+07 7.7462140914915353e+07 7.6825212484456107e+07 7.6298340113606796e+07 7.5869767298965067e+07 7.5525650526060820e+07 7.5254341550996825e+07 7.5039759407377616e+07 7.4866099036114991e+07 7.4721932766086891e+07 7.4596208103475913e+07 7.4477751934313551e+07 7.4393985430758953e+07 7.4309423327243254e+07 7.4223148357000291e+07 7.4132786869581819e+07 7.4039570601751938e+07 7.3940791044775248e+07 7.3839913075895816e+07 7.3727729983974710e+07 7.3607670358171999e+07 7.3477525004472479e+07 7.3335568819128901e+07 7.3179705507890090e+07 7.3007573550011501e+07 7.2815752022403836e+07 7.2604796429863587e+07 7.2366500371824637e+07 7.2099329241521865e+07 7.1799406450410530e+07 7.1462560165815756e+07 7.1084488161165208e+07 7.0660875118517593e+07 7.0186921481443226e+07 6.9663434252550259e+07 6.9081023076443568e+07 6.8441787140658200e+07 6.7747205149950281e+07 6.7002725104920544e+07 6.6217616418004476e+07 6.5409522404495947e+07 6.4604672625083774e+07 6.3846219522475734e+07 6.3188012044471607e+07 6.2714819186297759e+07 6.2544570630451448e+07 6.2848744949169360e+07 6.3876790219372064e+07 6.6006720621959597e+07 6.9836924783136740e+07 7.6375977645032912e+07 1.5654458616101181e+07 +9.6540846948984047e+00 2.1293664357572383e+08 2.1291560193048781e+08 2.1287998096938831e+08 2.1283286810295373e+08 2.1278476700305346e+08 2.1275237242820588e+08 2.1274325794844270e+08 2.1274468624640891e+08 2.1274337628396502e+08 2.1273607851780120e+08 2.1272364028101179e+08 2.1270552749591023e+08 2.1268053364973494e+08 2.1264749125892508e+08 2.1260520950900760e+08 2.1255220096878183e+08 2.1248669241532359e+08 2.1240664465738708e+08 2.1230967517570567e+08 2.1219295711785218e+08 2.1205316645402595e+08 2.1188630163152239e+08 2.1168667844391736e+08 2.1144449280440605e+08 2.1114988483392990e+08 2.1079797543778378e+08 2.1038223985730726e+08 2.0989280191666818e+08 2.0931770878445184e+08 2.0864316124924615e+08 2.0785339414122468e+08 2.0693049752515346e+08 2.0585426101136282e+08 2.0460206923288289e+08 2.0314888954327497e+08 2.0146735567280385e+08 1.9952806032679036e+08 1.9730008370985660e+08 1.9475189037024680e+08 1.9185261514645824e+08 1.8831382842996424e+08 1.8430838912608853e+08 1.7981851145465547e+08 1.7484223324341854e+08 1.6939848334864005e+08 1.6353139960507959e+08 1.5731272941639653e+08 1.5084105621597159e+08 1.4423709033856878e+08 1.3763399303996548e+08 1.3116515711611456e+08 1.2495433415628715e+08 1.1910538063033836e+08 1.1368726954675098e+08 1.0873774727604972e+08 1.0426854381319405e+08 1.0026751809300700e+08 9.6708350104480177e+07 9.3555239646285594e+07 9.0772363736016512e+07 8.8320940825014040e+07 8.6168578334264725e+07 8.4281999132984787e+07 8.2636937607604265e+07 8.1207524767481238e+07 7.9971727055714741e+07 7.8912476900078297e+07 7.8011018430952623e+07 7.7249200163527533e+07 7.6613929043460250e+07 7.6088432431267813e+07 7.5660983112199515e+07 7.5317773286593854e+07 7.5047183855430543e+07 7.4833175149173558e+07 7.4659983207654312e+07 7.4516208860851198e+07 7.4390827910901994e+07 7.4272696952626869e+07 7.4189160869474486e+07 7.4104831518329799e+07 7.4018794076762721e+07 7.3928681391963735e+07 7.3835721793998942e+07 7.3737214334918097e+07 7.3636613808961481e+07 7.3524739609553143e+07 7.3405010562076479e+07 7.3275223554717690e+07 7.3133658233431816e+07 7.2978224075505212e+07 7.2806566061927259e+07 7.2615272795643613e+07 7.2404897718862727e+07 7.2167257770132616e+07 7.1900822248709559e+07 7.1601725239048094e+07 7.1265806394731626e+07 7.0888775334114373e+07 7.0466328620470598e+07 6.9993680015300259e+07 6.9471633786338463e+07 6.8890826149599358e+07 6.8253350205311790e+07 6.7560680587287635e+07 6.6818250296397753e+07 6.6035303224287741e+07 6.5229434109914370e+07 6.4426800392939746e+07 6.3670435235725403e+07 6.3014039985647097e+07 6.2542149965059869e+07 6.2372370259712882e+07 6.2675707135963336e+07 6.3700921923680633e+07 6.5824988086566448e+07 6.9644646883114114e+07 7.6165695753828958e+07 1.5600944071686901e+07 +9.6590530176726634e+00 2.1250401572370216e+08 2.1248301691852891e+08 2.1244746560676360e+08 2.1240044389925954e+08 2.1235243165186518e+08 2.1232008887384877e+08 2.1231097356074259e+08 2.1231237489590481e+08 2.1231103843616781e+08 2.1230371997143513e+08 2.1229126379367453e+08 2.1227313558611214e+08 2.1224812973397598e+08 2.1221507927623621e+08 2.1217279370697510e+08 2.1211978615163133e+08 2.1205428401087576e+08 2.1197424867941946e+08 2.1187729830572703e+08 2.1176060691070729e+08 2.1162085155154097e+08 2.1145403215960139e+08 2.1125446740371597e+08 2.1101235831967449e+08 2.1071784639648762e+08 2.1036605259045792e+08 2.0995045743904892e+08 2.0946119119321835e+08 2.0888630812425041e+08 2.0821201777984136e+08 2.0742256597631192e+08 2.0650005660807863e+08 2.0542429670452756e+08 2.0417269279684991e+08 2.0272023965929314e+08 2.0103960523016483e+08 1.9910142454629162e+08 1.9687482968371329e+08 1.9432834782606521e+08 1.9143118813823074e+08 1.8789522334758058e+08 1.8389329198943785e+08 1.7940773735523969e+08 1.7443672646907708e+08 1.6899930386531624e+08 1.6313969152942309e+08 1.5692966905598992e+08 1.5046778115358165e+08 1.4387461597995564e+08 1.3728313082380390e+08 1.3082644842475988e+08 1.2462800360350719e+08 1.1879132355004890e+08 1.1338509815176098e+08 1.0844684745497666e+08 1.0398813875173888e+08 9.9996742478242055e+07 9.6446307041169211e+07 9.3301048220363617e+07 9.0525178940838948e+07 8.8079979398856029e+07 8.5933113774583995e+07 8.4051374441597238e+07 8.2410546388395369e+07 8.0984821013628572e+07 7.9752217598872542e+07 7.8695709368933946e+07 7.7796588142193154e+07 7.7036748984863386e+07 7.6403131809337214e+07 7.5879008136358947e+07 7.5452679987823650e+07 7.5110375208240479e+07 7.4840503790296465e+07 7.4627067280257672e+07 7.4454342733648941e+07 7.4310959429621994e+07 7.4185921410988837e+07 7.4068114917883039e+07 7.3984808724604428e+07 7.3900711589318305e+07 7.3814911128702879e+07 7.3725046672540978e+07 7.3632343152329817e+07 7.3534107162942752e+07 7.3433783441350177e+07 7.3322217421978712e+07 7.3202818190154746e+07 7.3073388702559680e+07 7.2932213343671232e+07 7.2777207349131137e+07 7.2606022186574787e+07 7.2415255962761626e+07 7.2205460064059749e+07 7.1968474711294889e+07 7.1702773101935998e+07 7.1404499969093964e+07 7.1069506425798878e+07 7.0693513908263013e+07 7.0272230833415315e+07 6.9800884249572426e+07 6.9280275698298186e+07 6.8701067902332306e+07 6.8065347890134126e+07 6.7374586233846992e+07 6.6634200969399936e+07 6.5853410526301473e+07 6.5049761179428130e+07 6.4249338413156025e+07 6.3495056386744335e+07 6.2840469184611559e+07 6.2369878996592999e+07 6.2200567059861898e+07 6.2503068425086387e+07 6.3525459258718260e+07 6.5643674707641393e+07 6.9452812461344570e+07 7.5955898867850661e+07 1.5547600137331454e+07 +9.6640213404469222e+00 2.1207188176350775e+08 2.1205092489296645e+08 2.1201544348238626e+08 2.1196851259966519e+08 2.1192058910432228e+08 2.1188829811085185e+08 2.1187918203052920e+08 2.1188055650802463e+08 2.1187919367168948e+08 2.1187185464387727e+08 2.1185938068123999e+08 2.1184123723349237e+08 2.1181621958635688e+08 2.1178316130748221e+08 2.1174087220621526e+08 2.1168786597111726e+08 2.1162237063498211e+08 2.1154234819012040e+08 2.1144541746422833e+08 2.1132875336726424e+08 2.1118903405948067e+08 2.1102226097661188e+08 2.1082275568728116e+08 2.1058072439227557e+08 2.1028631000723535e+08 2.0993463357288745e+08 2.0951918094495326e+08 2.0903008884072745e+08 2.0845541868633613e+08 2.0778138884601969e+08 2.0699225618674827e+08 2.0607013850130656e+08 2.0499486031079328e+08 2.0374385011751485e+08 2.0229213018945235e+08 2.0061240273809084e+08 1.9867534518468869e+08 1.9645014150716847e+08 1.9390538152370697e+08 1.9101034867673483e+08 1.8747721884866840e+08 1.8347880916101450e+08 1.7899759161479214e+08 1.7403186193255767e+08 1.6860077969766119e+08 1.6274865031535947e+08 1.5654728480048713e+08 1.5009518841519278e+08 1.4351282657474548e+08 1.3693295228941154e+08 1.3048841824508627e+08 1.2430234284328441e+08 1.1847792463945849e+08 1.1308357117613228e+08 1.0815657700249654e+08 1.0370834748886630e+08 9.9726565208452880e+07 9.6184847461765274e+07 9.3047426315557063e+07 9.0278550795261353e+07 8.7839562907222465e+07 8.5698183615238860e+07 8.3821274747478709e+07 8.2184671860333413e+07 8.0762626659317404e+07 7.9533211184963003e+07 7.8479439397670075e+07 7.7582650716044992e+07 7.6824786668399826e+07 7.6192820074168682e+07 7.5670066523416936e+07 7.5244857222252160e+07 7.4903455589123994e+07 7.4634300655340686e+07 7.4421435101841360e+07 7.4249176916538775e+07 7.4106183775914282e+07 7.3981487908425286e+07 7.3864005135833263e+07 7.3780928302734151e+07 7.3697062847608387e+07 7.3611498820864663e+07 7.3521882020365179e+07 7.3429433986610383e+07 7.3331468839724362e+07 7.3231421284769028e+07 7.3120162733933896e+07 7.3001092556396857e+07 7.2872019763084441e+07 7.2731233466366023e+07 7.2576654646632701e+07 7.2405941243563399e+07 7.2215700844875455e+07 7.2006482788702190e+07 7.1770150520742759e+07 7.1505181129218280e+07 7.1207729971212432e+07 7.0873659592912316e+07 7.0498703220960811e+07 7.0078581098729014e+07 6.9608533530121610e+07 6.9089359339069337e+07 6.8511747690709814e+07 6.7877779557196990e+07 6.7188921458265901e+07 6.6450576499389991e+07 6.5671937706918910e+07 6.4870503003324203e+07 6.4072286083505243e+07 6.3320082380415864e+07 6.2667299052469134e+07 6.2198005696340621e+07 6.2029160447948679e+07 6.2330828230744831e+07 6.3350401629168548e+07 6.5462779869908519e+07 6.9261420866901681e+07 7.5746586275270790e+07 1.5494426326666571e+07 +9.6689896632211809e+00 2.1164024224974149e+08 2.1161932645618528e+08 2.1158391544735336e+08 2.1153707523483786e+08 2.1148924044135037e+08 2.1145700120880750e+08 2.1144788443058902e+08 2.1144923215532881e+08 2.1144784306224427e+08 2.1144048360667408e+08 2.1142799201495555e+08 2.1140983350837380e+08 2.1138480427684665e+08 2.1135173842201421e+08 2.1130944607454005e+08 2.1125644149383771e+08 2.1119095335310537e+08 2.1111094425282964e+08 2.1101403371307352e+08 2.1089739754655048e+08 2.1075771503425622e+08 2.1059098913529530e+08 2.1039154434339151e+08 2.1014959206555372e+08 2.0985527670341545e+08 2.0950371941517815e+08 2.0908841139662015e+08 2.0859949587067223e+08 2.0802504146984944e+08 2.0735127543325418e+08 2.0656246574163774e+08 2.0564074415484372e+08 2.0456595275703043e+08 2.0331554209607679e+08 2.0186456200442186e+08 2.0018574903187382e+08 1.9824982303648341e+08 1.9602601992837217e+08 1.9348299215723681e+08 1.9059009739479262e+08 1.8705981549170232e+08 1.8306494111528447e+08 1.7858807461427438e+08 1.7362763991224632e+08 1.6820291101342523e+08 1.6235827601483175e+08 1.5616557658338189e+08 1.4972327781660506e+08 1.4315172182680473e+08 1.3658345703732154e+08 1.3015106608684385e+08 1.2397735130973132e+08 1.1816518327194797e+08 1.1278268794777174e+08 1.0786693521424061e+08 1.0342916929900391e+08 9.9456985545586601e+07 9.5923970621923327e+07 9.2794373185815901e+07 9.0032478554371357e+07 8.7599690607996076e+07 8.5463787118221760e+07 8.3591699316790640e+07 8.1959313293873563e+07 8.0540940979433656e+07 7.9314707092588231e+07 7.8263666268690690e+07 7.7369205438122243e+07 7.6613312502681851e+07 7.5982993129095718e+07 7.5461606885695428e+07 7.5037514110959589e+07 7.4697013726647377e+07 7.4428573749522194e+07 7.4216277914148271e+07 7.4044485057969734e+07 7.3901881202702343e+07 7.3777526707098931e+07 7.3660366911441088e+07 7.3577518909555033e+07 7.3493884599682778e+07 7.3408556460660651e+07 7.3319186743487164e+07 7.3226993605850115e+07 7.3129298675128385e+07 7.3029526650196940e+07 7.2918574857406273e+07 7.2799832973747551e+07 7.2671116050604209e+07 7.2530717917001992e+07 7.2376565285142496e+07 7.2206322551489234e+07 7.2016606762538761e+07 7.1807965215221882e+07 7.1572284523061439e+07 7.1308045657634243e+07 7.1011414575351119e+07 7.0678265229134947e+07 7.0304342608868137e+07 6.9885378756984338e+07 6.9416627201861948e+07 6.8898884058537528e+07 6.8322864870086804e+07 6.7690644567669153e+07 6.7003685628188893e+07 6.6267376261045247e+07 6.5490884148098625e+07 6.4691658971141480e+07 6.3895642801021978e+07 6.3145512620823555e+07 6.2494528999432877e+07 6.2026529479025573e+07 6.1858149840236880e+07 6.2158985966331258e+07 6.3175748438854165e+07 6.5282302957362317e+07 6.9070471447962239e+07 7.5537757263210982e+07 1.5441422154435653e+07 +9.6739579859954397e+00 2.1120909784476042e+08 2.1118822412082922e+08 2.1115288241823539e+08 2.1110613281965560e+08 2.1105838673350626e+08 2.1102619922883916e+08 2.1101708182445917e+08 2.1101840290119174e+08 2.1101698767116797e+08 2.1100960792254266e+08 2.1099709885713658e+08 2.1097892547266069e+08 2.1095388486641511e+08 2.1092081167989925e+08 2.1087851637125650e+08 2.1082551377777365e+08 2.1076003322158679e+08 2.1068003792228600e+08 2.1058314810476163e+08 2.1046654049881315e+08 2.1032689552290246e+08 2.1016021767927706e+08 2.0996083441116476e+08 2.0971896237398550e+08 2.0942474751354432e+08 2.0907331113851053e+08 2.0865814980653697e+08 2.0816941328547955e+08 2.0759517746535376e+08 2.0692167851776636e+08 2.0613319560089007e+08 2.0521187450936696e+08 2.0413757496229666e+08 2.0288776962505805e+08 2.0143753596626726e+08 1.9975964493858886e+08 1.9782485888792658e+08 1.9560246568655303e+08 1.9306118041258153e+08 1.9017043491737354e+08 1.8664301382734245e+08 1.8265168831880310e+08 1.7817918672687313e+08 1.7322406067874485e+08 1.6780569797317261e+08 1.6196856867297354e+08 1.5578454433170995e+08 1.4935204916798693e+08 1.4279130143428117e+08 1.3623464466321722e+08 1.2981439145589761e+08 1.2365302843294355e+08 1.1785309881788553e+08 1.1248244779168490e+08 1.0757792138334988e+08 1.0315060345430112e+08 9.9188002749555051e+07 9.5663675775608912e+07 9.2541888083578885e+07 8.9786961471815407e+07 8.7360361757843509e+07 8.5229923544073015e+07 8.3362647414591759e+07 8.1734469958514467e+07 8.0319763247685328e+07 7.9096704599664867e+07 7.8048389263369128e+07 7.7156251593139261e+07 7.6402325775334328e+07 7.5773650264205500e+07 7.5253628515872791e+07 7.4830649948555037e+07 7.4491048917142883e+07 7.4223322370766401e+07 7.4011595016763732e+07 7.3840266458584890e+07 7.3698051011733651e+07 7.3574037109993055e+07 7.3457199548724696e+07 7.3374579849957556e+07 7.3291176151143357e+07 7.3206083354427174e+07 7.3116960149238184e+07 7.3025021318269983e+07 7.2927595978226840e+07 7.2828098847574368e+07 7.2717453103431746e+07 7.2599038754423752e+07 7.2470676878474861e+07 7.2330666010391012e+07 7.2176938580788702e+07 7.2007165428161785e+07 7.1817973035369933e+07 7.1609906665130287e+07 7.1374876042104319e+07 7.1111366013490573e+07 7.0815553110582650e+07 7.0483322666739613e+07 7.0110431407712787e+07 6.9692623147858158e+07 6.9225164608975962e+07 6.8708849205686867e+07 6.8134418794885904e+07 6.7503942282108441e+07 6.6818878110598087e+07 6.6084599628337145e+07 6.5310249231099695e+07 6.4513228471748658e+07 6.3719407962102674e+07 6.2971346511408575e+07 6.2322158435177788e+07 6.1855449758682840e+07 6.1687534652327083e+07 6.1987541044595778e+07 6.3001499090942949e+07 6.5102243353216909e+07 6.8879963552026540e+07 7.5329411118083358e+07 1.5388587136492619e+07 +9.6789263087696984e+00 2.1077844903179523e+08 2.1075761686460099e+08 2.1072234526747403e+08 2.1067568640406051e+08 2.1062802903733569e+08 2.1059589322424346e+08 2.1058677526676145e+08 2.1058806979992235e+08 2.1058662855219671e+08 2.1057922864496979e+08 2.1056670226082346e+08 2.1054851417881426e+08 2.1052346240700802e+08 2.1049038213224584e+08 2.1044808414638910e+08 2.1039508387182054e+08 2.1032961128809211e+08 2.1024963024440449e+08 2.1015276168291640e+08 2.1003618326495370e+08 2.0989657656356242e+08 2.0972994764319050e+08 2.0953062692133179e+08 2.0928883634311947e+08 2.0899472345723498e+08 2.0864340975518766e+08 2.0822839717815986e+08 2.0773984207852986e+08 2.0716582765443304e+08 2.0649259906740320e+08 2.0570444671602845e+08 2.0478353049716955e+08 2.0370972783589789e+08 2.0246053358816150e+08 2.0101105292847499e+08 1.9933409127634794e+08 1.9740045351673731e+08 1.9517947951281881e+08 1.9263994696717930e+08 1.8975136186107975e+08 1.8622681439757580e+08 1.8223905123042035e+08 1.7777092831809598e+08 1.7282112449561015e+08 1.6740914073091993e+08 1.6157952832835084e+08 1.5540418796637562e+08 1.4898150227373901e+08 1.4243156509031430e+08 1.3588651475833949e+08 1.2947839385343488e+08 1.2332937363964854e+08 1.1754167064408016e+08 1.1218285003012574e+08 1.0728953480036443e+08 1.0287264922478811e+08 9.8919616078215212e+07 9.5403962174973920e+07 9.2289970259518430e+07 8.9541998799746558e+07 8.7121575612167403e+07 8.4996592152115747e+07 8.3134118304687396e+07 8.1510141122611970e+07 8.0099092736741513e+07 7.8879202982798412e+07 7.7833607662216410e+07 7.6943788464848667e+07 7.6191825773086771e+07 7.5564790769008160e+07 7.5046130705609798e+07 7.4624264028799340e+07 7.4285560456301734e+07 7.4018545816335216e+07 7.3807385708180085e+07 7.3636520418366060e+07 7.3494692504147157e+07 7.3371018419270411e+07 7.3254502350980029e+07 7.3172110427942887e+07 7.3088936806826755e+07 7.3004078807867914e+07 7.2915201544086084e+07 7.2823516431146368e+07 7.2726360057365298e+07 7.2627137186127514e+07 7.2516796782260790e+07 7.2398709209846824e+07 7.2270701559297487e+07 7.2131077060419202e+07 7.1977773849015519e+07 7.1808469190558821e+07 7.1619798982032806e+07 7.1412306459229544e+07 7.1177924400797769e+07 7.0915141522218004e+07 7.0620144905211404e+07 7.0288831237087503e+07 6.9916968952467024e+07 6.9500313610330015e+07 6.9034145094892144e+07 6.8519254128846884e+07 6.7946408818816260e+07 6.7317672060131133e+07 6.6634498271698378e+07 6.5902245974378780e+07 6.5130032336456083e+07 6.4335210893141307e+07 6.3543580962280437e+07 6.2797583454886988e+07 6.2150186768393196e+07 6.1684765948506147e+07 6.1517314299088292e+07 6.1816492877609409e+07 6.2827652987799451e+07 6.4922600439983748e+07 6.8689896525711432e+07 7.5121547125205487e+07 1.5335920789800782e+07 +9.6838946315439571e+00 2.1034829753452504e+08 2.1032750665898097e+08 2.1029230516337013e+08 2.1024573708602628e+08 2.1019816839447391e+08 2.1016608424029019e+08 2.1015696580307800e+08 2.1015823389685813e+08 2.1015676675026056e+08 2.1014934681882745e+08 2.1013680327045432e+08 2.1011860067060322e+08 2.1009353794165680e+08 2.1006045082120356e+08 2.1001815044120800e+08 2.0996515281591853e+08 2.0989968859091026e+08 2.0981972225586823e+08 2.0972287548214215e+08 2.0960632687764251e+08 2.0946675918550482e+08 2.0930018005318418e+08 2.0910092289586288e+08 2.0885921498979706e+08 2.0856520554490009e+08 2.0821401626844069e+08 2.0779915450646329e+08 2.0731078323463857e+08 2.0673699300970769e+08 2.0606403804086024e+08 2.0527622002926967e+08 2.0435571304139057e+08 2.0328241227909088e+08 2.0203383486011812e+08 2.0058511373548940e+08 1.9890908885487166e+08 1.9697660769184721e+08 1.9475706212925184e+08 1.9221929249005029e+08 1.8933287883405489e+08 1.8581121773709273e+08 1.8182703030082884e+08 1.7736329974575394e+08 1.7241883161893573e+08 1.6701323943338990e+08 1.6119115501311553e+08 1.5502450740212500e+08 1.4861163693256932e+08 1.4207251248299873e+08 1.3553906690900305e+08 1.2914307277715372e+08 1.2300638635264756e+08 1.1723089811436370e+08 1.1188389398236822e+08 1.0700177475346379e+08 1.0259530587827229e+08 9.8651824787624985e+07 9.5144829070465431e+07 9.2038618962822184e+07 8.9297589788890675e+07 8.6883331424888387e+07 8.4763792200581431e+07 8.2906111249776974e+07 8.1286326053411826e+07 7.9878928718229547e+07 7.8662201517803714e+07 7.7619320744572163e+07 7.6731815335976318e+07 7.5981811781688109e+07 7.5356413931797966e+07 7.4839112745708331e+07 7.4418355644590199e+07 7.4080547638793051e+07 7.3814243382583916e+07 7.3603649286176249e+07 7.3433246236368746e+07 7.3291804980168447e+07 7.3168469936272830e+07 7.3052274620576859e+07 7.2970109946727589e+07 7.2887165870681226e+07 7.2802542125676319e+07 7.2713910233699650e+07 7.2622478251072541e+07 7.2525590219917804e+07 7.2426640974200636e+07 7.2316605203229532e+07 7.2198843650530040e+07 7.2071189404830769e+07 7.1931950380153924e+07 7.1779070404261276e+07 7.1610233154843137e+07 7.1422083920632944e+07 7.1215163917413145e+07 7.0981428921357810e+07 7.0719371508555785e+07 7.0425189286747366e+07 7.0094790270882487e+07 6.9723954577377021e+07 6.9308449482560292e+07 6.8843568002123356e+07 6.8330098175472528e+07 6.7758834294856846e+07 6.7131833260700226e+07 6.6450545476937413e+07 6.5720314671517529e+07 6.4950232843924291e+07 6.4157605622701392e+07 6.3368161196477152e+07 6.2624222853230320e+07 6.1978613407332473e+07 6.1514477461122096e+07 6.1347488194703966e+07 6.1645840876651078e+07 6.2654209531148061e+07 6.4743373599353530e+07 6.8500269714862406e+07 7.4914164569312871e+07 1.5283422632431637e+07 +9.6888629543182159e+00 2.0991864573157868e+08 2.0989789542602974e+08 2.0986276355946112e+08 2.0981628597009838e+08 2.0976880583336768e+08 2.0973677331448710e+08 2.0972765446982130e+08 2.0972889622855935e+08 2.0972740330158830e+08 2.0971996347982806e+08 2.0970740292124587e+08 2.0968918598275086e+08 2.0966411250442934e+08 2.0963101878012267e+08 2.0958871628798625e+08 2.0953572164126512e+08 2.0947026615977526e+08 2.0939031498439538e+08 2.0929349052841622e+08 2.0917697235966727e+08 2.0903744440920353e+08 2.0887091592571399e+08 2.0867172334715399e+08 2.0843009932157677e+08 2.0813619477835554e+08 2.0778513167266533e+08 2.0737042277716792e+08 2.0688223772925791e+08 2.0630867449527794e+08 2.0563599638814032e+08 2.0484851647422773e+08 2.0392842305676264e+08 2.0285562918384483e+08 2.0160767430742228e+08 2.0015971922355449e+08 1.9848463847514644e+08 1.9655332217408916e+08 1.9433521425017521e+08 1.9179921764197820e+08 1.8891498643674180e+08 1.8539622437208444e+08 1.8141562597320485e+08 1.7695630136044520e+08 1.7201718229771635e+08 1.6661799422048041e+08 1.6080344875260195e+08 1.5464550254762653e+08 1.4824245293772790e+08 1.4171414329522994e+08 1.3519230069718269e+08 1.2880842772029567e+08 1.2268406599134089e+08 1.1692078058945827e+08 1.1158557896515395e+08 1.0671464052839176e+08 1.0231857268042424e+08 9.8384628131928831e+07 9.4886275710727647e+07 9.1787833441116139e+07 8.9053733688586563e+07 8.6645628448671341e+07 8.4531522946367443e+07 8.2678625511321232e+07 8.1063024017052203e+07 7.9659270462848946e+07 7.8445699479397908e+07 7.7405527788965851e+07 7.6520331488441199e+07 7.5772283086112365e+07 7.5148519040290132e+07 7.4632573926177949e+07 7.4212924087945402e+07 7.3876009758493364e+07 7.3610414364965275e+07 7.3400385047731280e+07 7.3230443210741803e+07 7.3089387739210963e+07 7.2966390961531192e+07 7.2850515659146801e+07 7.2768577708615780e+07 7.2685862645991191e+07 7.2601472611922413e+07 7.2513085522808731e+07 7.2421906083605587e+07 7.2325285772522867e+07 7.2226609519420475e+07 7.2116877675154477e+07 7.1999441386236593e+07 7.1872139726113290e+07 7.1733285281985044e+07 7.1580827560416192e+07 7.1412456636407390e+07 7.1224827168294802e+07 7.1018478358836383e+07 7.0785388925180569e+07 7.0524055296377629e+07 7.0230685581860304e+07 6.9901199097949013e+07 6.9531387615863323e+07 6.9117030101894170e+07 6.8653432672542751e+07 6.8141380692260802e+07 6.7571694575249821e+07 6.6946425242021084e+07 6.6267019090952881e+07 6.5538805091529302e+07 6.4770850132493228e+07 6.3980412046995975e+07 6.3193148058891416e+07 6.2451264107660562e+07 6.1807437759379640e+07 6.1344583708402619e+07 6.1178055752661131e+07 6.1475584452394515e+07 6.2481168121957645e+07 6.4564562212389007e+07 6.8311082464594439e+07 7.4707262734156385e+07 1.5231092183563700e+07 +9.6938312770924746e+00 2.0948949249559850e+08 2.0946878428954464e+08 2.0943372159970784e+08 2.0938733411525628e+08 2.0933994237459239e+08 2.0930796147608492e+08 2.0929884229481259e+08 2.0930005782249647e+08 2.0929853923354021e+08 2.0929107965479603e+08 2.0927850223970193e+08 2.0926027114105844e+08 2.0923518712080094e+08 2.0920208703346837e+08 2.0915978271019185e+08 2.0910679136998215e+08 2.0904134501548308e+08 2.0896140944906363e+08 2.0886460783829692e+08 2.0874812072583872e+08 2.0860863324609339e+08 2.0844215626904395e+08 2.0824302927908102e+08 2.0800149033767232e+08 2.0770769215038228e+08 2.0735675695353562e+08 2.0694220296730348e+08 2.0645420652968284e+08 2.0588087306594583e+08 2.0520847505044991e+08 2.0442133697601631e+08 2.0350166144895208e+08 2.0242937943405467e+08 2.0118205278759602e+08 1.9973487022018057e+08 1.9806074092952603e+08 1.9613059771546006e+08 1.9391393658135632e+08 1.9137972307554883e+08 1.8849768526087719e+08 1.8498183482085857e+08 1.8100483868267059e+08 1.7654993350473982e+08 1.7161617677353343e+08 1.6622340522520727e+08 1.6041640956583035e+08 1.5426717330549270e+08 1.4787395007665056e+08 1.4135645720469764e+08 1.3484621570002607e+08 1.2847445817200378e+08 1.2236241197141363e+08 1.1661131742668501e+08 1.1128790429228252e+08 1.0642813140839669e+08 1.0204244889474146e+08 9.8118025363220140e+07 9.4628301342884362e+07 9.1537612940543681e+07 8.8810429746677786e+07 8.6408465934908852e+07 8.4299783645126745e+07 8.2451660349836290e+07 8.0840234278606802e+07 7.9440117239992559e+07 7.8229696141339496e+07 7.7192228072964057e+07 7.6309336203256726e+07 7.5563238970299765e+07 7.4941105381066248e+07 7.4426513535998404e+07 7.4007968650155172e+07 7.3671946108562201e+07 7.3407058058234945e+07 7.3197592288975239e+07 7.3028110639034659e+07 7.2887440079866871e+07 7.2764780794725671e+07 7.2649224767408580e+07 7.2567513015235260e+07 7.2485026434954360e+07 7.2400869569712326e+07 7.2312726715460375e+07 7.2221799233710572e+07 7.2125446021041423e+07 7.2027042128471673e+07 7.1917613505701959e+07 7.1800501725829229e+07 7.1673551833209157e+07 7.1535081077291340e+07 7.1383044630410537e+07 7.1215138949880019e+07 7.1028028041382775e+07 7.0822249101908028e+07 7.0589803732803583e+07 7.0329192208814636e+07 7.0036633116486102e+07 6.9708057047419086e+07 6.9339267400456578e+07 6.8926054804951936e+07 6.8463738447202429e+07 6.7953101025241166e+07 6.7384989011338025e+07 6.6761447361514181e+07 6.6083918477754608e+07 6.5357716605341144e+07 6.4591883580569580e+07 6.3803629552024648e+07 6.3018540942949720e+07 6.2278706618838370e+07 6.1636659231364205e+07 6.1175084101499327e+07 6.1009016385733888e+07 6.1305723014766335e+07 6.2308528160557039e+07 6.4386165659395769e+07 6.8122334119298011e+07 7.4500840902645826e+07 1.5178928963481404e+07 +9.6987995998667333e+00 2.0906083993856889e+08 2.0904017334007099e+08 2.0900517984554824e+08 2.0895888252047044e+08 2.0891157903373644e+08 2.0887964974687290e+08 2.0887053029667777e+08 2.0887171969748631e+08 2.0887017556427267e+08 2.0886269636178088e+08 2.0885010224338254e+08 2.0883185716297451e+08 2.0880676280696544e+08 2.0877365659671518e+08 2.0873135072231069e+08 2.0867836301542181e+08 2.0861292616961116e+08 2.0853300666012862e+08 2.0843622842018816e+08 2.0831977298158240e+08 2.0818032669886452e+08 2.0801390208232611e+08 2.0781484168665689e+08 2.0757338902784398e+08 2.0727969864494938e+08 2.0692889308779341e+08 2.0651449604529285e+08 2.0602669059383032e+08 2.0545358966856867e+08 2.0478147496018726e+08 2.0399468245063490e+08 2.0307542911522257e+08 2.0200366390444386e+08 2.0075697114957997e+08 1.9931056754411691e+08 1.9763739700228083e+08 1.9570843505960256e+08 1.9349322981990400e+08 1.9096080943493396e+08 1.8808097589075732e+08 1.8456804959392336e+08 1.8059466885679400e+08 1.7614419651435503e+08 1.7121581528086239e+08 1.6582947257365182e+08 1.6003003746535444e+08 1.5388951957236540e+08 1.4750612813130990e+08 1.4099945388432387e+08 1.3450081149041396e+08 1.2814116361758390e+08 1.2204142370501778e+08 1.1630250798038034e+08 1.1099086927475406e+08 1.0614224667433792e+08 1.0176693378276475e+08 9.7852015731916264e+07 9.4370905212166399e+07 9.1287956705568090e+07 8.8567677209697738e+07 8.6171843133602470e+07 8.4068573551273242e+07 8.2225215024521932e+07 8.0617956102106705e+07 7.9221468318394423e+07 7.8014190776446968e+07 7.6979420873285994e+07 7.6098828760446772e+07 7.5354678717428505e+07 7.4734172239974454e+07 7.4220930863502726e+07 7.3803488621555075e+07 7.3468355981196806e+07 7.3204173756208241e+07 7.2995270305158243e+07 7.2826247817799687e+07 7.2685961300008580e+07 7.2563638734798163e+07 7.2448401245533302e+07 7.2366915167358011e+07 7.2284656539236039e+07 7.2200732301488936e+07 7.2112833114996985e+07 7.2022157005547717e+07 7.1926070270482212e+07 7.1827938107400522e+07 7.1718812001907855e+07 7.1602023977603570e+07 7.1475425035568103e+07 7.1337337076891631e+07 7.1185720926401839e+07 7.1018279408981189e+07 7.0831685855560914e+07 7.0626475464119196e+07 7.0394672664124459e+07 7.0134781568156675e+07 6.9843031215768948e+07 6.9515363447586328e+07 6.9147593263079718e+07 6.8735522927601442e+07 6.8274484666447699e+07 6.7765258519618571e+07 6.7198716953896776e+07 6.6576898975924186e+07 6.5901243000648424e+07 6.5177048583193019e+07 6.4413332565728001e+07 6.3627257522932872e+07 6.2844339241475008e+07 6.2106549786610186e+07 6.1466277229359768e+07 6.1005978051083833e+07 6.0840369506141029e+07 6.1136255973101862e+07 6.2136289046575628e+07 6.4208183319950320e+07 6.7934024022603765e+07 7.4294898357011765e+07 1.5126932493573792e+07 +9.7037679226409921e+00 2.0863268952221495e+08 2.0861206273893639e+08 2.0857713904837486e+08 2.0853093215023246e+08 2.0848371682245389e+08 2.0845183913968137e+08 2.0844271948501748e+08 2.0844388286308300e+08 2.0844231330352092e+08 2.0843481461016068e+08 2.0842220394119647e+08 2.0840394505637813e+08 2.0837884057044911e+08 2.0834572847665018e+08 2.0830342132990783e+08 2.0825043758189434e+08 2.0818501062548611e+08 2.0810510761865562e+08 2.0800835327326852e+08 2.0789193012359110e+08 2.0775252576127240e+08 2.0758615435586250e+08 2.0738716155650344e+08 2.0714579637349293e+08 2.0685221523760906e+08 2.0650154104362309e+08 2.0608730297028220e+08 2.0559969087119702e+08 2.0502682524019462e+08 2.0435499704126778e+08 2.0356855380559960e+08 2.0264972694396245e+08 2.0157848346131176e+08 2.0033243023385215e+08 1.9888681200566944e+08 1.9721460746874356e+08 1.9528683494163015e+08 1.9307309465500754e+08 1.9054247735630143e+08 1.8766485890187275e+08 1.8415486919365671e+08 1.8018511691542158e+08 1.7573909071685597e+08 1.7081609804695040e+08 1.6543619638509470e+08 1.5964433245718011e+08 1.5351254123870173e+08 1.4713898687817338e+08 1.4064313300153282e+08 1.3415608763632758e+08 1.2780854353799050e+08 1.2172110060082136e+08 1.1599435160182168e+08 1.1069447322105867e+08 1.0585698560476263e+08 1.0149202660365388e+08 9.7586598486379310e+07 9.4114086562193200e+07 9.1038863979315832e+07 8.8325475322731420e+07 8.5935759293670669e+07 8.3837891918293029e+07 8.1999288793563634e+07 8.0396188750528574e+07 7.9003322965563908e+07 7.7799182656599015e+07 7.6767105465594545e+07 7.5888808439212680e+07 7.5146601609761477e+07 7.4527718902134612e+07 7.4015825196159601e+07 7.3599483291701242e+07 7.3265238667830527e+07 7.3001760752072752e+07 7.2793418390811875e+07 7.2624854042874113e+07 7.2484950696620375e+07 7.2362964079829633e+07 7.2248044392525196e+07 7.2166783464977518e+07 7.2084752259624541e+07 7.2001060108746320e+07 7.1913404023684248e+07 7.1822978702373475e+07 7.1727157825093850e+07 7.1629296761348620e+07 7.1520472470103204e+07 7.1404007448842451e+07 7.1277758641711876e+07 7.1140052590719491e+07 7.0988855759789824e+07 7.0821877326761857e+07 7.0635799925639525e+07 7.0431156762382284e+07 7.0199995038158908e+07 6.9940822696040258e+07 6.9649879204104960e+07 6.9323117626077965e+07 6.8956364534910902e+07 6.8545433804986566e+07 6.8085670669826508e+07 6.7577852519932285e+07 6.7012877752863996e+07 6.6392779441205092e+07 6.5718992022060245e+07 6.4996800394668177e+07 6.4235196464935325e+07 6.3451295344319955e+07 6.2670542346543893e+07 6.1934793010275103e+07 6.1296291158759773e+07 6.0837264966925263e+07 6.0672114525307089e+07 6.0967182735951647e+07 6.1964450178932540e+07 6.4030614573037431e+07 6.7746151517344534e+07 7.4089434378510326e+07 1.5075102296333406e+07 +9.7087362454152508e+00 2.0820503967725503e+08 2.0818445430015796e+08 2.0814960070515564e+08 2.0810348397304472e+08 2.0805635674852467e+08 2.0802453065854850e+08 2.0801541086075544e+08 2.0801654832027468e+08 2.0801495345179099e+08 2.0800743540017882e+08 2.0799480833302593e+08 2.0797653582074627e+08 2.0795142141000167e+08 2.0791830367102224e+08 2.0787599553003183e+08 2.0782301606525415e+08 2.0775759937717387e+08 2.0767771331733888e+08 2.0758098338779455e+08 2.0746459313997617e+08 2.0732523141861200e+08 2.0715891407128906e+08 2.0695998986594957e+08 2.0671871334716302e+08 2.0642524289457473e+08 2.0607470178014284e+08 2.0566062469340912e+08 2.0517320830247360e+08 2.0460058070989645e+08 2.0392904220828268e+08 2.0314295193990394e+08 2.0222455581504956e+08 2.0115383896242401e+08 1.9990843087224534e+08 1.9846360440678954e+08 1.9679237309607288e+08 1.9486579808884710e+08 1.9265353176728901e+08 1.9012472746745172e+08 1.8724933486225402e+08 1.8374229411468059e+08 1.7977618327074468e+08 1.7533461643268627e+08 1.7041702529197448e+08 1.6504357677199760e+08 1.5925929454090557e+08 1.5313623818894586e+08 1.4677252608810577e+08 1.4028749421912566e+08 1.3381204370152466e+08 1.2747659741051812e+08 1.2140144206391941e+08 1.1568684763912867e+08 1.1039871543689311e+08 1.0557234747578478e+08 1.0121772661478715e+08 9.7321772873218805e+07 9.3857844635061294e+07 9.0790334003227457e+07 8.8083823329531342e+07 8.5700213662618503e+07 8.3607737998233020e+07 8.1773880914043456e+07 8.0174931485850945e+07 7.8785680448148429e+07 7.7584671052680612e+07 7.6555281124682933e+07 7.5679274517896295e+07 7.4939006928832248e+07 7.4321744651693195e+07 7.3811195820569351e+07 7.3395951949375406e+07 7.3062593459192678e+07 7.2799818338057414e+07 7.2592035839764073e+07 7.2423928609337837e+07 7.2284407565977857e+07 7.2162756127265722e+07 7.2048153506960183e+07 7.1967117207317978e+07 7.1885312896133557e+07 7.1801852292412117e+07 7.1714438743373767e+07 7.1624263626757443e+07 7.1528707988412216e+07 7.1431117394855395e+07 7.1322594215750739e+07 7.1206451446242422e+07 7.1080551959688082e+07 7.0943226927928820e+07 7.0792448441329286e+07 7.0625932015592247e+07 7.0440369565796629e+07 7.0236292312714025e+07 7.0005770173252940e+07 6.9747314913213804e+07 6.9457176405235946e+07 6.9131318909647644e+07 6.8765580546282217e+07 6.8355786771495238e+07 6.7897295796244219e+07 6.7390882369918093e+07 6.6827470757531144e+07 6.6209088112687051e+07 6.5537164903887428e+07 6.4816971408533588e+07 6.4057474654339097e+07 6.3275742399943598e+07 6.2497149649600744e+07 6.1763435688351937e+07 6.1126700424389191e+07 6.0668944258306518e+07 6.0504250854114376e+07 6.0798502711372040e+07 6.1793010955970049e+07 6.3853458796771809e+07 6.7558715945685565e+07 7.3884448247664392e+07 1.5023437895355102e+07 +9.7137045681895096e+00 2.0777789404190242e+08 2.0775735004073557e+08 2.0772256603410822e+08 2.0767653898101017e+08 2.0762949981166595e+08 2.0759772529848215e+08 2.0758860541591668e+08 2.0758971706127274e+08 2.0758809700131175e+08 2.0758055972354731e+08 2.0756791641002372e+08 2.0754963044649509e+08 2.0752450631554517e+08 2.0749138316903484e+08 2.0744907431072822e+08 2.0739609945244348e+08 2.0733069341031927e+08 2.0725082473974243e+08 2.0715411974549955e+08 2.0703776300994125e+08 2.0689844464688551e+08 2.0673218220149085e+08 2.0653332758332223e+08 2.0629214091258407e+08 2.0599878257362449e+08 2.0564837624786922e+08 2.0523446215634978e+08 2.0474724381977814e+08 2.0417485699803722e+08 2.0350361136809424e+08 2.0271787774337587e+08 2.0179991659968081e+08 2.0072973125658846e+08 1.9948497388808480e+08 1.9804094554090035e+08 1.9637069464285111e+08 1.9444532521962398e+08 1.9223454182920587e+08 1.8970756038808283e+08 1.8683440433148792e+08 1.8333032484379593e+08 1.7936786832722458e+08 1.7493077397507754e+08 1.7001859722873503e+08 1.6465161383997527e+08 1.5887492370985502e+08 1.5276061030199781e+08 1.4640674552654886e+08 1.3993253719483390e+08 1.3346867924529231e+08 1.2714532470833157e+08 1.2108244749575639e+08 1.1537999543722735e+08 1.1010359522516884e+08 1.0528833156116311e+08 1.0094403307125407e+08 9.7057538137240767e+07 9.3602178671058461e+07 9.0542366017521262e+07 8.7842720472547054e+07 8.5465205486700833e+07 8.3378111042075336e+07 8.1548990641870052e+07 7.9954183569005698e+07 7.8568540031732515e+07 7.7370655234772488e+07 7.6343947124529824e+07 7.5470226273942813e+07 7.4731893955163255e+07 7.4116248771962434e+07 7.3607042022563919e+07 7.3192893882659376e+07 7.2860419645151645e+07 7.2598345805685058e+07 7.2391121944960758e+07 7.2223470811526880e+07 7.2084331203563929e+07 7.1963014173654228e+07 7.1848727886506692e+07 7.1767915692835927e+07 7.1686337747987777e+07 7.1603108152546346e+07 7.1515936574920222e+07 7.1426011080516711e+07 7.1330720063156798e+07 7.1233399311488524e+07 7.1125176543591261e+07 7.1009355275647566e+07 7.0883804296406329e+07 7.0746859397041455e+07 7.0596498280834213e+07 7.0430442786977038e+07 7.0245394089268282e+07 7.0041881430539206e+07 6.9811997386934474e+07 6.9554257539868519e+07 6.9264922141968876e+07 6.8939966624431565e+07 6.8575240626948357e+07 6.8166581160752639e+07 6.7709359383845106e+07 6.7204347412642032e+07 6.6642495316484876e+07 6.6025824344941065e+07 6.5355761007298790e+07 6.4637560993005604e+07 6.3880166509651273e+07 6.3100598073071487e+07 6.2324160541479267e+07 6.1592477218793750e+07 6.0957504430378772e+07 6.0501015333820164e+07 6.0336777902746201e+07 6.0630215306690015e+07 6.1621970775294565e+07 6.3676715368782640e+07 6.7371716649045274e+07 7.3679939244309992e+07 1.4971938815334767e+07 +9.7186728909637683e+00 2.0735125243063390e+08 2.0733075040577245e+08 2.0729603568010998e+08 2.0725009817534554e+08 2.0720314700321135e+08 2.0717142404455671e+08 2.0716230413344023e+08 2.0716339006947228e+08 2.0716174493516630e+08 2.0715418856308788e+08 2.0714152915482748e+08 2.0712322991592067e+08 2.0709809626840982e+08 2.0706496795120132e+08 2.0702265865148702e+08 2.0696968872141719e+08 2.0690429370149329e+08 2.0682444286089879e+08 2.0672776331942299e+08 2.0661144070386431e+08 2.0647216641388625e+08 2.0630595971049291e+08 2.0610717566900322e+08 2.0586608002470621e+08 2.0557283522387803e+08 2.0522256538873678e+08 2.0480881629268828e+08 2.0432179834626031e+08 2.0374965501600015e+08 2.0307870541816655e+08 2.0229333209785640e+08 2.0137581016051030e+08 2.0030616118464500e+08 1.9906206009617060e+08 1.9761883619283688e+08 1.9594957285940292e+08 1.9402541704404145e+08 1.9181612550503597e+08 1.8929097672998181e+08 1.8642006786151889e+08 1.8291896185990486e+08 1.7896017248170909e+08 1.7452756364962351e+08 1.6962081406328750e+08 1.6426030768808088e+08 1.5849121995080742e+08 1.5238565745036519e+08 1.4604164495346898e+08 1.3957826158135918e+08 1.3312599382246901e+08 1.2681472490053064e+08 1.2076411629460230e+08 1.1507379433838879e+08 1.0980911188628648e+08 1.0500493713239937e+08 1.0067094522620589e+08 9.6793893521437377e+07 9.3347087909042016e+07 9.0294959260681465e+07 8.7602165992795363e+07 8.5230734011038497e+07 8.3149010299747810e+07 8.1324617232133701e+07 7.9733944259850681e+07 7.8351900980998814e+07 7.7157134471861973e+07 7.6133102738182843e+07 7.5261662984002769e+07 7.4525261968573898e+07 7.3911230545597374e+07 7.3403363087256730e+07 7.2990308378651395e+07 7.2658716514817968e+07 7.2397342445810914e+07 7.2190675998660386e+07 7.2023479942908406e+07 7.1884720904156476e+07 7.1763737514835656e+07 7.1649766828087017e+07 7.1569178219268307e+07 7.1487826113759145e+07 7.1404826988495097e+07 7.1317896818491876e+07 7.1228220364830136e+07 7.1133193351310283e+07 7.1036141814268008e+07 7.0928218757629514e+07 7.0812718242213562e+07 7.0687514958385319e+07 7.0550949305671751e+07 7.0401004587557152e+07 7.0235408951674178e+07 7.0050872808775932e+07 6.9847923430392727e+07 6.9618675996116117e+07 6.9361649895333409e+07 6.9073115736618862e+07 6.8749060095855802e+07 6.8385344105754584e+07 6.7977816305796787e+07 6.7521860770020723e+07 6.7018246990520969e+07 6.6457950777539380e+07 6.5842987491903491e+07 6.5174779692700371e+07 6.4458568515565284e+07 6.3703271405686788e+07 6.2925861746240914e+07 6.2151574412238829e+07 6.1421916998902470e+07 6.0788702580192558e+07 6.0333477601473548e+07 6.0169695080802567e+07 6.0462319928527132e+07 6.1451329033960007e+07 6.3500383666006826e+07 6.7185152968211934e+07 7.3475906647426948e+07 1.4920604582068188e+07 +9.7236412137380270e+00 2.0692511681573474e+08 2.0690465603051323e+08 2.0687001028647923e+08 2.0682416254429519e+08 2.0677729930235088e+08 2.0674562787235165e+08 2.0673650798765591e+08 2.0673756831939510e+08 2.0673589822806025e+08 2.0672832289294246e+08 2.0671564754086685e+08 2.0669733520193827e+08 2.0667219224118721e+08 2.0663905898911789e+08 2.0659674952299324e+08 2.0654378484196338e+08 2.0647840121876001e+08 2.0639856864731121e+08 2.0630191507367396e+08 2.0618562718370685e+08 2.0604639767835459e+08 2.0588024755368546e+08 2.0568153507429352e+08 2.0544053163011047e+08 2.0514740178566217e+08 2.0479727013605469e+08 2.0438368802697486e+08 2.0389687279673791e+08 2.0332497566682971e+08 2.0265432524775961e+08 2.0186931587617052e+08 2.0095223735160434e+08 1.9988312957852754e+08 1.9863969030298412e+08 1.9719727713922289e+08 1.9552900848747209e+08 1.9360607426432979e+08 1.9139828345094255e+08 1.8887497709658554e+08 1.8600632599606580e+08 1.8250820563408372e+08 1.7855309612345937e+08 1.7412498575481781e+08 1.6922367599459475e+08 1.6386965840841836e+08 1.5810818324437219e+08 1.5201137950083268e+08 1.4567722412355974e+08 1.3922466702648664e+08 1.3278398698321851e+08 1.2648479745259362e+08 1.2044644785503110e+08 1.1476824368146221e+08 1.0951526471804057e+08 1.0472216345871130e+08 1.0039846233067438e+08 9.6530838266934574e+07 9.3092571585985571e+07 9.0048112969945997e+07 8.7362159130086929e+07 8.4996798479539663e+07 8.2920435019951448e+07 8.1100759938585684e+07 7.9514212817452952e+07 7.8135762559778735e+07 7.6944108032201320e+07 7.5922747237917081e+07 7.5053583923840508e+07 7.4319110248045802e+07 7.3706689254353344e+07 7.3200158298832536e+07 7.2788194723877549e+07 7.2457483356578723e+07 7.2196807548479989e+07 7.1990697292327300e+07 7.1823955296415538e+07 7.1685575961746320e+07 7.1564925445961952e+07 7.1451269627885476e+07 7.1370904083650380e+07 7.1289777291191131e+07 7.1207008098806038e+07 7.1120318773625895e+07 7.1030890779864147e+07 7.0936127154299691e+07 7.0839344205412284e+07 7.0731720161246553e+07 7.0616539650354549e+07 7.0491683251226529e+07 7.0355495960919291e+07 7.0205966669973284e+07 7.0040829819855481e+07 6.9856805036120087e+07 6.9654417626158997e+07 6.9425805316963196e+07 6.9169491298310250e+07 6.8881756510665566e+07 6.8558598648577645e+07 6.8195890311134368e+07 6.7789491538838252e+07 6.7334799291540772e+07 6.6832580445221007e+07 6.6273836487943254e+07 6.5660576906741656e+07 6.4994220319884419e+07 6.4279993343051709e+07 6.3526788716725476e+07 6.2751532801316187e+07 6.1979390651438177e+07 6.1251754425319426e+07 6.0620294276765682e+07 6.0166330468556024e+07 6.0003001797220960e+07 6.0294815983089574e+07 6.1281085128266893e+07 6.3324463064614527e+07 6.6999024243237294e+07 7.3272349735251710e+07 1.4869434722449781e+07 +9.7286095365122858e+00 2.0649948746190870e+08 2.0647906721629286e+08 2.0644449080748805e+08 2.0639873305837080e+08 2.0635195767585281e+08 2.0632033774788150e+08 2.0631121794419399e+08 2.0631225277699691e+08 2.0631055784581673e+08 2.0630296367877302e+08 2.0629027253349707e+08 2.0627194726904136e+08 2.0624679519755664e+08 2.0621365724583286e+08 2.0617134788708007e+08 2.0611838877468801e+08 2.0605301692146426e+08 2.0597320305642366e+08 2.0587657596389407e+08 2.0576032340237752e+08 2.0562113939044333e+08 2.0545504667790541e+08 2.0525640674176148e+08 2.0501549666650546e+08 2.0472248319075051e+08 2.0437249141410401e+08 2.0395907827529427e+08 2.0347246807708898e+08 2.0290081984475708e+08 2.0223047173750609e+08 2.0144582994295654e+08 2.0052919901853779e+08 1.9946063726175067e+08 1.9821786530629453e+08 1.9677626914789322e+08 1.9510900226079971e+08 1.9318729757419080e+08 1.9098101631448013e+08 1.8845956208328950e+08 1.8559317927121302e+08 1.8209805662989825e+08 1.7814663963435808e+08 1.7372304058125818e+08 1.6882718321447092e+08 1.6347966608690074e+08 1.5772581356482118e+08 1.5163777631445903e+08 1.4531348278594065e+08 1.3887175317323035e+08 1.3244265827370830e+08 1.2615554182603730e+08 1.2012944156837532e+08 1.1446334280248708e+08 1.0922205301545458e+08 1.0444000980682565e+08 1.0012658363395469e+08 9.6268371613114700e+07 9.2838628937615216e+07 8.9801826381050542e+07 8.7122699122873470e+07 8.4763398134838521e+07 8.2692384450301528e+07 8.0877418014084905e+07 7.9294988499637440e+07 7.7920124030803040e+07 7.6731575183086202e+07 7.5712879894988239e+07 7.4845988368394405e+07 7.4113438071819484e+07 7.3502624179237202e+07 7.2997426940888673e+07 7.2586552204070166e+07 7.2256719458115906e+07 7.1996740402902097e+07 7.1791185116732270e+07 7.1624896164067268e+07 7.1486895669579491e+07 7.1366577261391431e+07 7.1253235581445321e+07 7.1173092582129791e+07 7.1092190577394575e+07 7.1009650781469822e+07 7.0923201738978699e+07 7.0834021625341311e+07 7.0739520772444159e+07 7.0643005786429033e+07 7.0535680056865871e+07 7.0420818803811789e+07 7.0296308479857996e+07 7.0160498668981701e+07 7.0011383835796565e+07 6.9846704700850055e+07 6.9663190082621455e+07 6.9461363331057131e+07 6.9233384664878696e+07 6.8977781066808492e+07 6.8690843784913331e+07 6.8368581606647775e+07 6.8006878570522696e+07 6.7601606191451162e+07 6.7148174284508839e+07 6.6647347117758602e+07 6.6090151794199392e+07 6.5478591942117937e+07 6.4814082248018019e+07 6.4101834841661677e+07 6.3350717816393770e+07 6.2577610619570009e+07 6.1807608647977412e+07 6.1081988894098729e+07 6.0452278922340296e+07 5.9999573341826014e+07 5.9836697460366577e+07 6.0127702875854462e+07 6.1111238454042450e+07 6.3148952940267831e+07 6.6813329813420132e+07 7.3069267785275996e+07 1.4818428764471401e+07 +9.7335778592865445e+00 2.0607436526405272e+08 2.0605398558653703e+08 2.0601947869937220e+08 2.0597381067547151e+08 2.0592712307804522e+08 2.0589555462759385e+08 2.0588643496010548e+08 2.0588744439945513e+08 2.0588572474562937e+08 2.0587811187735432e+08 2.0586540508896759e+08 2.0584706707317436e+08 2.0582190609255415e+08 2.0578876367559731e+08 2.0574645469719973e+08 2.0569350147167373e+08 2.0562814176036543e+08 2.0554834703721726e+08 2.0545174693690342e+08 2.0533553030432090e+08 2.0519639249185711e+08 2.0503035802126050e+08 2.0483179160546803e+08 2.0459097606283206e+08 2.0429808036221901e+08 2.0394823013899413e+08 2.0353498794518328e+08 2.0304858508511138e+08 2.0247718843584216e+08 2.0180714575940406e+08 2.0102287515399653e+08 2.0010669599869400e+08 1.9903868504967669e+08 1.9779658589567021e+08 1.9635581297876346e+08 1.9468955490470603e+08 1.9276908765895540e+08 1.9056432473588815e+08 1.8804473227766597e+08 1.8518062821474028e+08 1.8168851530288666e+08 1.7774080338854831e+08 1.7332172841323322e+08 1.6843133590778092e+08 1.6309033080210117e+08 1.5734411088026875e+08 1.5126484774627635e+08 1.4495042068442068e+08 1.3851951965977889e+08 1.3210200723544842e+08 1.2582695747829597e+08 1.1981309682247411e+08 1.1415909103457233e+08 1.0892947607119699e+08 1.0415847544159393e+08 9.9855308382921949e+07 9.6006492797765046e+07 9.2585259197840691e+07 8.9556098728301242e+07 8.6883785208315745e+07 8.4530532218396395e+07 8.2464857837299988e+07 8.0654590710475847e+07 7.9076270563541248e+07 7.7704984655983239e+07 7.6519535190946504e+07 7.5503499979980215e+07 7.4638875591918781e+07 7.3908244717175931e+07 7.3299034600528374e+07 7.2795168296127245e+07 7.2385380104184777e+07 7.2056424106306165e+07 7.1797140297756195e+07 7.1592138761930242e+07 7.1426301837184370e+07 7.1288679320275217e+07 7.1168692254871190e+07 7.1055663983507022e+07 7.0975743010434866e+07 7.0895065268757522e+07 7.0812754333516702e+07 7.0726545012640566e+07 7.0637612200174302e+07 7.0543373505821839e+07 7.0447125858054325e+07 7.0340097746403083e+07 7.0225555005572572e+07 7.0101389948430687e+07 6.9965956735500142e+07 6.9817255392056510e+07 6.9653032903365761e+07 6.9470027258744121e+07 6.9268759857609987e+07 6.9041413354622886e+07 6.8786518517989129e+07 6.8500376879482314e+07 6.8179008293339163e+07 6.7818308210854426e+07 6.7414159594594866e+07 6.6961985084239788e+07 6.6462546348491527e+07 6.5906896042181022e+07 6.5297031949883923e+07 6.4634364835667931e+07 6.3924092376923285e+07 6.3175058077591613e+07 6.2404094581625126e+07 6.1636227790018238e+07 6.0912619800626293e+07 6.0284655918591961e+07 5.9833205627468698e+07 5.9670781478081204e+07 5.9960980011619844e+07 6.0941788406373948e+07 6.2973852667938434e+07 6.6628069017545275e+07 7.2866660074350074e+07 1.4767586237221101e+07 +9.7385461820608032e+00 2.0564975132135475e+08 2.0562941284114558e+08 2.0559497502795786e+08 2.0554939634925324e+08 2.0550279645178241e+08 2.0547127945951578e+08 2.0546215998394629e+08 2.0546314413565394e+08 2.0546139987603197e+08 2.0545376843681875e+08 2.0544104615509766e+08 2.0542269556148037e+08 2.0539752587307301e+08 2.0536437922417703e+08 2.0532207089819080e+08 2.0526912387672451e+08 2.0520377667754158e+08 2.0512400153002298e+08 2.0502742893108138e+08 2.0491124882571203e+08 2.0477215791541088e+08 2.0460618251325577e+08 2.0440769059088099e+08 2.0416697073972446e+08 2.0387419421465197e+08 2.0352448721816322e+08 2.0311141793547124e+08 2.0262522470949581e+08 2.0205408231686506e+08 2.0138434817682451e+08 2.0060045235676989e+08 1.9968472912033927e+08 1.9861727374877816e+08 1.9737585285204613e+08 1.9593590938330624e+08 1.9427066713609117e+08 1.9235144519608790e+08 1.9014820934641173e+08 1.8763048825912723e+08 1.8476867334708786e+08 1.8127958210112622e+08 1.7733558775277179e+08 1.7292104952697495e+08 1.6803613425250930e+08 1.6270165262649083e+08 1.5696307515248239e+08 1.5089259364573652e+08 1.4458803755756974e+08 1.3816796611914086e+08 1.3176203340584540e+08 1.2549904386305127e+08 1.1949741300179900e+08 1.1385548770787716e+08 1.0863753317508422e+08 1.0387755962524711e+08 9.9584635823005676e+07 9.5745201056682259e+07 9.2332461599129394e+07 8.9310929244685143e+07 8.6645416622312531e+07 8.4298199970638007e+07 8.2237854426485077e+07 8.0432277278557554e+07 7.8858058265068471e+07 7.7490343696348369e+07 7.6307987321383998e+07 7.5294606762556195e+07 7.4432244867716208e+07 7.3703529460885718e+07 7.3095919797660947e+07 7.2593381646660462e+07 7.2184677708422393e+07 7.1856596587261170e+07 7.1598006520808980e+07 7.1393557517179310e+07 7.1228171606547922e+07 7.1090926205704078e+07 7.0971269719364867e+07 7.0858554128120065e+07 7.0778854663339719e+07 7.0698400660852268e+07 7.0616318051566646e+07 7.0530347891907111e+07 7.0441661802542046e+07 7.0347684653451920e+07 7.0251703720505759e+07 7.0144972531022251e+07 7.0030747557836875e+07 6.9906926960629731e+07 6.9771869465315178e+07 6.9623580645191580e+07 6.9459813735359058e+07 6.9277315874261051e+07 6.9076606517548352e+07 6.8849890700290278e+07 6.8595702968593210e+07 6.8310355113795161e+07 6.7989878031265825e+07 6.7630178558397710e+07 6.7227151078432053e+07 6.6776231025640085e+07 6.6278177477078207e+07 6.5724068577100746e+07 6.5115896281314366e+07 6.4455067440557443e+07 6.3746765313740805e+07 6.2999808872780114e+07 6.2230984067492127e+07 6.1465247465255618e+07 6.0743646539811216e+07 6.0117424666564353e+07 5.9667226731037669e+07 5.9505253257400379e+07 5.9794646794731960e+07 6.0772734379864633e+07 6.2799161621933661e+07 6.6443241193711333e+07 7.2664525878497422e+07 1.4716906670881847e+07 +9.7435145048350620e+00 2.0522564629171425e+08 2.0520534937094131e+08 2.0517098040432099e+08 2.0512549102378401e+08 2.0507897873058531e+08 2.0504751318278724e+08 2.0503839395504981e+08 2.0503935292551312e+08 2.0503758417727730e+08 2.0502993429692847e+08 2.0501719667098549e+08 2.0499883367256063e+08 2.0497365547675350e+08 2.0494050482873443e+08 2.0489819742593810e+08 2.0484525692429706e+08 2.0477992260628122e+08 2.0470016746661729e+08 2.0460362287611535e+08 2.0448747989341238e+08 2.0434843658554035e+08 2.0418252107481232e+08 2.0398410461472115e+08 2.0374348160908535e+08 2.0345082565400279e+08 2.0310126355028373e+08 2.0268836913665974e+08 2.0220238783082244e+08 2.0163150235690868e+08 2.0096207984499907e+08 2.0017856239035377e+08 1.9926329920367807e+08 1.9819640415741715e+08 1.9695566694856489e+08 1.9551655910460839e+08 1.9385233966384131e+08 1.9193437085464332e+08 1.8973267076985022e+08 1.8721683059924629e+08 1.8435731518028229e+08 1.8087125746477744e+08 1.7693099308641666e+08 1.7252100419184712e+08 1.6764157841954461e+08 1.6231363162570623e+08 1.5658270633696231e+08 1.5052101385638225e+08 1.4422633313856426e+08 1.3781709217989695e+08 1.3142273631777190e+08 1.2517180043040521e+08 1.1918238948763481e+08 1.1355253214959495e+08 1.0834622361460038e+08 1.0359726161802624e+08 9.9314565197305635e+07 9.5484495624062017e+07 9.2080235372441590e+07 8.9066317161695421e+07 8.6407592599510342e+07 8.4066400630708158e+07 8.2011373462152854e+07 8.0210476968134910e+07 7.8640350859433636e+07 7.7276200411974519e+07 7.6096930839108661e+07 7.5086199511590734e+07 7.4226095468356460e+07 7.3499291578691289e+07 7.2893279049398825e+07 7.2392066273706585e+07 7.1984444300337151e+07 7.1657236186564177e+07 7.1399338359287530e+07 7.1195440671213821e+07 7.1030504762002662e+07 7.0893635617061213e+07 7.0774308947087511e+07 7.0661905308713838e+07 7.0582426835001275e+07 7.0502196048706844e+07 7.0420341231313452e+07 7.0334609673458114e+07 7.0246169729981124e+07 7.0152453513898566e+07 7.0056738673079684e+07 6.9950303711257756e+07 6.9836395762348101e+07 6.9712918819223687e+07 6.9578236162642971e+07 6.9430358900823280e+07 6.9267046504182458e+07 6.9085055238414899e+07 6.8884902622101143e+07 6.8658816015296847e+07 6.8405333734435633e+07 6.8120777806690097e+07 6.7801190142451212e+07 6.7442488938634560e+07 6.7040579972646683e+07 6.6590911442595981e+07 6.6094239842578419e+07 6.5541668743470550e+07 6.4935184287094161e+07 6.4276189419973016e+07 6.3569853016408503e+07 6.2824969573627651e+07 6.2058278456596635e+07 6.1294667060752787e+07 6.0575068505822577e+07 5.9950584566750392e+07 5.9501636057434708e+07 5.9340112205004126e+07 5.9628702628880806e+07 6.0604075768409714e+07 6.2624879176022500e+07 6.6258845679239482e+07 7.2462864473043039e+07 1.4666389596730392e+07 +9.7484828276093207e+00 2.0480205196244252e+08 2.0478179542004931e+08 2.0474749564562628e+08 2.0470209561849707e+08 2.0465567084227610e+08 2.0462425672890073e+08 2.0461513780546379e+08 2.0461607170017064e+08 2.0461427858064029e+08 2.0460661038862711e+08 2.0459385756729043e+08 2.0457548233656374e+08 2.0455029583313555e+08 2.0451714141787681e+08 2.0447483520808122e+08 2.0442190154105607e+08 2.0435658047165453e+08 2.0427684577024257e+08 2.0418032969301382e+08 2.0406422442639163e+08 2.0392522941807607e+08 2.0375937461837462e+08 2.0356103458546695e+08 2.0332050957430410e+08 2.0302797557785133e+08 2.0267856002570972e+08 2.0226584243040317e+08 2.0178007532109976e+08 2.0120944941614595e+08 2.0054034161034322e+08 1.9975720608520073e+08 1.9884240706082326e+08 1.9777607706548703e+08 1.9653602894949928e+08 1.9509776287750444e+08 1.9343457318848476e+08 1.9151786529561567e+08 1.8931770962181482e+08 1.8680375986154804e+08 1.8394655421903658e+08 1.8046354182677779e+08 1.7652701974115419e+08 1.7212159266997465e+08 1.6724766857316586e+08 1.6192626785909495e+08 1.5620300438336626e+08 1.5015010821580347e+08 1.4386530715536505e+08 1.3746689746571210e+08 1.3108411550013211e+08 1.2484522662635720e+08 1.1886802565768123e+08 1.1325022368399408e+08 1.0805554667472877e+08 1.0331758067793697e+08 9.9045095747057155e+07 9.5224375732450858e+07 9.1828579747119755e+07 8.8822261709549218e+07 8.6170312373292610e+07 8.3835133436590269e+07 8.1785414187645555e+07 7.9989189028099075e+07 7.8423147600794747e+07 7.7062554062131852e+07 7.5886365008048400e+07 7.4878277495219216e+07 7.4020426665683523e+07 7.3295530345751941e+07 7.2691111633818880e+07 7.2191221457891732e+07 7.1784679162774831e+07 7.1458342188945398e+07 7.1201135099646270e+07 7.0997787511961445e+07 7.0833300592948288e+07 7.0696806844724417e+07 7.0577809229728550e+07 7.0465716817991689e+07 7.0386458818883702e+07 7.0306450726560801e+07 7.0224823167923078e+07 7.0139329653243482e+07 7.0051135279395834e+07 6.9957679384869516e+07 6.9862230014630333e+07 6.9756090586842656e+07 6.9642498920097470e+07 6.9519364826424167e+07 6.9385056130997673e+07 6.9237589464045152e+07 6.9074730516538441e+07 6.8893244659635007e+07 6.8693647481658369e+07 6.8468188612260014e+07 6.8215410130922899e+07 6.7931644276252449e+07 6.7612943948215649e+07 6.7255238676603138e+07 6.6854445606158882e+07 6.6406025668650016e+07 6.5910732783420503e+07 6.5359695885290518e+07 6.4754895317172080e+07 6.4097730130517565e+07 6.3393354848639339e+07 6.2650539551326774e+07 6.1885977127746947e+07 6.1124485962990195e+07 6.0406885092339613e+07 5.9784135019031629e+07 5.9336433011127532e+07 5.9175357726906277e+07 5.9463146917220183e+07 6.0435811965426542e+07 6.2451004703345068e+07 6.6074881810931608e+07 7.2261675132692948e+07 1.4616034547135876e+07 +9.7534511503835795e+00 2.0437896945934168e+08 2.0435875374990740e+08 2.0432452173252282e+08 2.0427921103049880e+08 2.0423287370961198e+08 2.0420151102172419e+08 2.0419239245796463e+08 2.0419330138313946e+08 2.0419148400902331e+08 2.0418379763449290e+08 2.0417102976623985e+08 2.0415264247485510e+08 2.0412744786297435e+08 2.0409428991142049e+08 2.0405198516357580e+08 2.0399905864481813e+08 2.0393375118997914e+08 2.0385403735540548e+08 2.0375755029467320e+08 2.0364148333474177e+08 2.0350253732043844e+08 2.0333674404767942e+08 2.0313848140275586e+08 2.0289805553052542e+08 2.0260564487487406e+08 2.0225637752625376e+08 2.0184383869034961e+08 2.0135828804348058e+08 2.0078792434664044e+08 2.0011913431122842e+08 1.9933638426346639e+08 1.9842205349510664e+08 1.9735629325463617e+08 1.9611693961087769e+08 1.9467952142861885e+08 1.9301736840251160e+08 1.9110192917198452e+08 1.8890332650970080e+08 1.8639127660167283e+08 1.8353639096013486e+08 1.8005643561197057e+08 1.7612366806179699e+08 1.7172281521634740e+08 1.6685440487066013e+08 1.6153956137925830e+08 1.5582396923475632e+08 1.4977987655653474e+08 1.4350495933075839e+08 1.3711738159570166e+08 1.3074617047721219e+08 1.2451932189346142e+08 1.1855432088657849e+08 1.1294856163259348e+08 1.0776550163788787e+08 1.0303851606072971e+08 9.8776226711780474e+07 9.4964840612570003e+07 9.1577493951038972e+07 8.8578762117074057e+07 8.5933575175912380e+07 8.3604397625261024e+07 8.1559975845321819e+07 7.9768412706192836e+07 7.8206447742382973e+07 7.6849403905264586e+07 7.5676289091201156e+07 7.4670839980684802e+07 7.3815237730731800e+07 7.3092245036493823e+07 7.2489416828128770e+07 7.1990846479103610e+07 7.1585381577824786e+07 7.1259913878502876e+07 7.1003396027695239e+07 7.0800597326690674e+07 7.0636558387891352e+07 7.0500439178648159e+07 7.0381769858151600e+07 7.0269987947951376e+07 7.0190949907897666e+07 7.0111163988136828e+07 7.0029763155817375e+07 6.9944507126531988e+07 6.9856557746962219e+07 6.9763361563554704e+07 6.9668177043199971e+07 6.9562332457044125e+07 6.9449056331253856e+07 6.9326264283846781e+07 6.9192328673351347e+07 6.9045271639188915e+07 6.8882865078373298e+07 6.8701883445722803e+07 6.8502840406133279e+07 6.8278007803437725e+07 6.8025931472587109e+07 6.7742953840010047e+07 6.7425138769280508e+07 6.7068427096441038e+07 6.6668747307171151e+07 6.6221573036672018e+07 6.5727655637365073e+07 6.5178149345897876e+07 6.4575028721011296e+07 6.3919688928232595e+07 6.3217270173490427e+07 6.2476518176369198e+07 6.1714079459104523e+07 6.0954703557813898e+07 6.0239095692464940e+07 5.9618075422815137e+07 5.9171616995919943e+07 5.9010989228551939e+07 5.9297979062281847e+07 6.0267942363696784e+07 6.2277537576473989e+07 6.5891348924939282e+07 7.2060957131387904e+07 1.4565841055558680e+07 +9.7584194731578382e+00 2.0395639801215458e+08 2.0393622306985003e+08 2.0390205995390466e+08 2.0385683816638601e+08 2.0381058825164193e+08 2.0377927697752830e+08 2.0377015882767954e+08 2.0377104288835987e+08 2.0376920137700740e+08 2.0376149694853371e+08 2.0374871418112361e+08 2.0373031500053209e+08 2.0370511247866115e+08 2.0367195122101676e+08 2.0362964820303848e+08 2.0357672914460099e+08 2.0351143566914973e+08 2.0343174312842706e+08 2.0333528558494863e+08 2.0321925752019846e+08 2.0308036119105753e+08 2.0291463025816995e+08 2.0271644595810542e+08 2.0247612036381996e+08 2.0218383442566240e+08 2.0183471692542431e+08 2.0142235878136051e+08 2.0093702685339895e+08 2.0036692799140489e+08 1.9969845877741972e+08 1.9891609773900956e+08 1.9800223930160797e+08 1.9693705349820086e+08 1.9569839968088526e+08 1.9426183547644675e+08 1.9260072599003682e+08 1.9068656312875476e+08 1.8848952203313279e+08 1.8597938136755744e+08 1.8312682589249915e+08 1.7964993923816618e+08 1.7572093838512069e+08 1.7132467207892352e+08 1.6646178746232271e+08 1.6115351223239726e+08 1.5544560082853773e+08 1.4941031870480341e+08 1.4314528938221857e+08 1.3676854418373752e+08 1.3040890076951021e+08 1.2419408567018124e+08 1.1824127454552741e+08 1.1264754531384897e+08 1.0747608778391781e+08 1.0276006702010396e+08 9.8507957328822702e+07 9.4705889493731722e+07 9.1326977210714042e+07 8.8335817611868903e+07 8.5697380238322541e+07 8.3374192432486802e+07 8.1335057676328495e+07 7.9548147249392331e+07 7.7990250536630183e+07 7.6636749198720559e+07 7.5466702350933403e+07 7.4463886234494865e+07 7.3610527933774576e+07 7.2889434924559176e+07 7.2288193908984229e+07 7.1790940616483316e+07 7.1386550826999724e+07 7.1061950538644359e+07 7.0806120428494081e+07 7.0603869401930705e+07 7.0440277434830502e+07 7.0304531907973364e+07 7.0186190122747749e+07 7.0074717990030348e+07 6.9995899394171312e+07 6.9916335126327455e+07 6.9835160488744438e+07 6.9750141388090715e+07 6.9662436428201005e+07 6.9569499346450821e+07 6.9474579056243002e+07 6.9369028620266542e+07 6.9256067295564726e+07 6.9133616492256746e+07 6.9000053091889769e+07 6.8853404729948878e+07 6.8691449495096818e+07 6.8510970903909132e+07 6.8312480704668552e+07 6.8088272900186554e+07 6.7836897073526174e+07 6.7554705814803064e+07 6.7237773925594404e+07 6.6882053521922737e+07 6.6483484403544098e+07 6.6037552878766596e+07 6.5545007741616279e+07 6.4997028467976265e+07 6.4395583847409330e+07 6.3742065168523692e+07 6.3041598353444889e+07 6.2302904818795472e+07 6.1542584828457542e+07 6.0785319230513766e+07 6.0071699698707014e+07 5.9452405176852874e+07 5.9007187415133819e+07 5.8847006114864394e+07 5.9133198466136880e+07 6.0100466355432540e+07 6.2104477167361647e+07 6.5708246356775597e+07 7.1860709742405638e+07 1.4515808656549139e+07 +9.7633877959320969e+00 2.0353433964910743e+08 2.0351420523372069e+08 2.0348011101070881e+08 2.0343497795808062e+08 2.0338881538189432e+08 2.0335755550462362e+08 2.0334843782115155e+08 2.0334929712209597e+08 2.0334743159035158e+08 2.0333970923617810e+08 2.0332691171695566e+08 2.0330850081797186e+08 2.0328329058403629e+08 2.0325012624966827e+08 2.0320782522845018e+08 2.0315491394155177e+08 2.0308963480850387e+08 2.0300996398680976e+08 2.0291353645951036e+08 2.0279754787584507e+08 2.0265870192060718e+08 2.0249303413692331e+08 2.0229492913430229e+08 2.0205470495226839e+08 2.0176254510237715e+08 2.0141357908793232e+08 2.0100140355981421e+08 2.0051629259724647e+08 1.9994646118586469e+08 1.9927831583019868e+08 1.9849634731742337e+08 1.9758296526711538e+08 1.9651835856116214e+08 1.9528040989905304e+08 1.9384470573125041e+08 1.9218464662717858e+08 1.9027176780246732e+08 1.8807629678372967e+08 1.8556807469916269e+08 1.8271785949760818e+08 1.7924405311519957e+08 1.7531883104107141e+08 1.7092716349851134e+08 1.6606981649198672e+08 1.6076812045818138e+08 1.5506789909574360e+08 1.4904143448153013e+08 1.4278629702210402e+08 1.3642038483965516e+08 1.3007230589287139e+08 1.2386951739165312e+08 1.1792888600250167e+08 1.1234717404370098e+08 1.0718730439037655e+08 1.0248223280757725e+08 9.8240286833915293e+07 9.4447521603314087e+07 9.1077028751070485e+07 8.8093427419987202e+07 8.5461726790265650e+07 8.3144517093015462e+07 8.1110658921020657e+07 7.9328391903624848e+07 7.7774555235020459e+07 7.6424589199375123e+07 7.5257604048637196e+07 7.4257415522443935e+07 7.3406296544440284e+07 7.2687099282861620e+07 7.2087442152267456e+07 7.1591503148574784e+07 7.1188186190988392e+07 7.0864451452157974e+07 7.0609307586574122e+07 7.0407603023746654e+07 7.0244457021138236e+07 7.0109084321143672e+07 6.9991069313068897e+07 6.9879906234872639e+07 6.9801306569233641e+07 6.9721963433530599e+07 6.9641014459956139e+07 6.9556231731854856e+07 6.9468770617973953e+07 6.9376092029389426e+07 6.9281435350524053e+07 6.9176178374425039e+07 6.9063531111979038e+07 6.8941420751966149e+07 6.8808228688229546e+07 6.8661988039463431e+07 6.8500483071396321e+07 6.8320506340738222e+07 6.8122567685784310e+07 6.7898983213393465e+07 6.7648306246982604e+07 6.7366899516796812e+07 6.7050848736704297e+07 6.6696117276022181e+07 6.6298656222251385e+07 6.5853964526589744e+07 6.5362788432719864e+07 6.4816332593660809e+07 6.4216560044480123e+07 6.3564858206144758e+07 6.2866338750419348e+07 6.2129698847901657e+07 6.1371492612786941e+07 6.0616332365905493e+07 5.9904696503001697e+07 5.9287123679355145e+07 5.8843143671529345e+07 5.8683407790212609e+07 5.8968804530234151e+07 5.9933383332366385e+07 6.1931822847428463e+07 6.5525573441416815e+07 7.1660932238453016e+07 1.4465936885746229e+07 +9.7683561187063557e+00 2.0311279428493318e+08 2.0309270112058532e+08 2.0305867560444760e+08 2.0301363133678886e+08 2.0296755600607145e+08 2.0293634750332117e+08 2.0292723033626503e+08 2.0292806498177433e+08 2.0292617554660061e+08 2.0291843539445055e+08 2.0290562327062178e+08 2.0288720082343775e+08 2.0286198307433519e+08 2.0282881589184454e+08 2.0278651713335523e+08 2.0273361392787808e+08 2.0266834949906421e+08 2.0258870082010198e+08 2.0249230380561286e+08 2.0237635528646508e+08 2.0223756039071462e+08 2.0207195656207490e+08 2.0187393180555856e+08 2.0163381016543099e+08 2.0134177776853999e+08 2.0099296487049469e+08 2.0058097387414238e+08 2.0009608611355948e+08 1.9952652475644672e+08 1.9885870628272301e+08 1.9807713379564434e+08 1.9716423217024365e+08 1.9610020920042101e+08 1.9486297099704731e+08 1.9342813289508325e+08 1.9176913098234531e+08 1.8985754382214192e+08 1.8766365134532240e+08 1.8515735712852100e+08 1.8230949224899468e+08 1.7883877764555863e+08 1.7491734635221899e+08 1.7053028970867398e+08 1.6567849209656966e+08 1.6038338609002787e+08 1.5469086396164832e+08 1.4867322370199239e+08 1.4242798195756155e+08 1.3607290316812944e+08 1.2973638535928781e+08 1.2354561648911211e+08 1.1761715462248209e+08 1.1204744713508070e+08 1.0689915073226005e+08 1.0220501267244917e+08 9.7973214460858643e+07 9.4189736167216957e+07 9.0827647795616716e+07 8.7851590766329274e+07 8.5226614060339496e+07 8.2915370840406522e+07 8.0886778818582103e+07 7.9109145913986668e+07 7.7559361088100702e+07 7.6212923162979096e+07 7.5048993445024550e+07 7.4051427109455824e+07 7.3202542831548288e+07 7.2485237383661792e+07 7.1887160833193898e+07 7.1392533353190437e+07 7.0990286949971333e+07 7.0667415901134059e+07 7.0412956785719499e+07 7.0211797477457806e+07 7.0049096433381870e+07 6.9914095706136733e+07 6.9796406718144014e+07 6.9685551972671360e+07 6.9607170723978654e+07 6.9528048201336578e+07 6.9447324361948147e+07 6.9362777451229274e+07 6.9275559610705376e+07 6.9183138907581389e+07 6.9088745222263858e+07 6.8983781016716421e+07 6.8871447078999028e+07 6.8749676362597004e+07 6.8616854763317540e+07 6.8471020870182440e+07 6.8309965111399114e+07 6.8130489062197313e+07 6.7933100657514587e+07 6.7710138053222746e+07 6.7460158305835605e+07 6.7179534261683896e+07 6.6864362521443665e+07 6.6510617681241639e+07 6.6114262089787774e+07 6.5670807311098881e+07 6.5180997046679705e+07 6.4636061064453885e+07 6.4037956659951031e+07 6.3388067395457119e+07 6.2691490725787282e+07 6.1956899632549979e+07 6.1200802188690454e+07 6.0447742348183565e+07 5.9738085496859841e+07 5.9122230328097396e+07 5.8679485167255044e+07 5.8520193658417352e+07 5.8804796655479617e+07 5.9766692685619600e+07 6.1759573987471811e+07 6.5343329513122924e+07 7.1461623891539469e+07 1.4416225279876342e+07 +9.7733244414806144e+00 2.0269176400341648e+08 2.0267171155316812e+08 2.0263775451315111e+08 2.0259279920343375e+08 2.0254681102004126e+08 2.0251565386530745e+08 2.0250653726364282e+08 2.0250734735672021e+08 2.0250543413488632e+08 2.0249767631228402e+08 2.0248484973031938e+08 2.0246641590435624e+08 2.0244119083668444e+08 2.0240802103379169e+08 2.0236572480280343e+08 2.0231282998755121e+08 2.0224758062352312e+08 2.0216795450874472e+08 2.0207158850209346e+08 2.0195568062855715e+08 2.0181693747518441e+08 2.0165139840403968e+08 2.0145345483811674e+08 2.0121343686462745e+08 2.0092153327945870e+08 2.0057287512124750e+08 2.0016107056389576e+08 1.9967640823206574e+08 1.9910711952168700e+08 1.9843963093975657e+08 1.9765845796256676e+08 1.9674604078130209e+08 1.9568260616446301e+08 1.9444608369789064e+08 1.9301211766179094e+08 1.9135417971528181e+08 1.8944389180845252e+08 1.8725158629357231e+08 1.8474722918025896e+08 1.8190172461261350e+08 1.7843411322444102e+08 1.7451648463375536e+08 1.7013405093639949e+08 1.6528781440609968e+08 1.5999930915477934e+08 1.5431449534515831e+08 1.4830568617571825e+08 1.4207034389088362e+08 1.3572609876964679e+08 1.2940113867664590e+08 1.2322238239013012e+08 1.1730607976694910e+08 1.1174836389804837e+08 1.0661162608223283e+08 1.0192840586210972e+08 9.7706739441457421e+07 9.3932532409668282e+07 9.0578833566344529e+07 8.7610306874600157e+07 8.4992041275992572e+07 8.2686752907311738e+07 8.0663416607342064e+07 7.8890408524480790e+07 7.7344667345670030e+07 7.6001750344612032e+07 7.4840869799982920e+07 7.3845920259907112e+07 7.2999266063181818e+07 7.2283848498524427e+07 7.1687349226268396e+07 7.1194030507591859e+07 7.0792852383425936e+07 7.0470843167099625e+07 7.0217067309171841e+07 7.0016452047713801e+07 6.9854194957655907e+07 6.9719565350132719e+07 6.9602201626391172e+07 6.9491654492905214e+07 6.9413491148697510e+07 6.9334588720979035e+07 6.9254089486588255e+07 6.9169777838898078e+07 6.9082802699884728e+07 6.8990639275644884e+07 6.8896507966987342e+07 6.8791835843860835e+07 6.8679814494245797e+07 6.8558382623172089e+07 6.8425930617531970e+07 6.8280502523963690e+07 6.8119894918620035e+07 6.7940918373534575e+07 6.7744078927185699e+07 6.7521736729322046e+07 6.7272452562194645e+07 6.6992609364492901e+07 6.6678314597981788e+07 6.6325554059405178e+07 6.5930301331965007e+07 6.5488080562764175e+07 6.4999632918875083e+07 6.4456213221368253e+07 6.3859773040831782e+07 6.3211692090035953e+07 6.2517053640337728e+07 6.1784506541053988e+07 6.1030512932090029e+07 6.0279548560994148e+07 5.9571866071078047e+07 5.8957724520164222e+07 5.8516211304061607e+07 5.8357363122828051e+07 5.8641174242338717e+07 5.9600393805772863e+07 6.1587729957839943e+07 6.5161513905683465e+07 7.1262783972915500e+07 1.4366673376752013e+07 +9.7782927642548731e+00 2.0227124977541673e+08 2.0225123702930042e+08 2.0221734871820927e+08 2.0217248242895573e+08 2.0212658130730754e+08 2.0209547547289532e+08 2.0208635948457101e+08 2.0208714512756705e+08 2.0208520823571801e+08 2.0207743286957905e+08 2.0206459197574028e+08 2.0204614694007200e+08 2.0202091474967107e+08 2.0198774255322045e+08 2.0194544911381641e+08 2.0189256299610549e+08 2.0182732905554521e+08 2.0174772592522150e+08 2.0165139141913560e+08 2.0153552477010104e+08 2.0139683403892347e+08 2.0123136052440077e+08 2.0103349908966747e+08 2.0079358590244922e+08 2.0050181248204878e+08 2.0015331067982629e+08 1.9974169446056068e+08 1.9925725977438962e+08 1.9868824629141709e+08 1.9802109059780219e+08 1.9724032059894076e+08 1.9632839186218566e+08 1.9526555019367096e+08 1.9402974871707201e+08 1.9259666071758297e+08 1.9093979347795871e+08 1.8903081237444794e+08 1.8684010219660425e+08 1.8433769137095502e+08 1.8149455704714665e+08 1.7803006023920619e+08 1.7411624619364673e+08 1.6973844740134880e+08 1.6489778354414505e+08 1.5961588967297184e+08 1.5393879315959808e+08 1.4793882170691213e+08 1.4171338251885152e+08 1.3537997123953944e+08 1.2906656534852794e+08 1.2289981451878646e+08 1.1699566079438448e+08 1.1144992364015713e+08 1.0632472971052930e+08 1.0165241162179825e+08 9.7440861006023735e+07 9.3675909553398117e+07 9.0330585284029990e+07 8.7369574967083693e+07 8.4758007663534164e+07 8.2458662525208294e+07 8.0440571524537802e+07 7.8672178978377059e+07 7.7130473256677285e+07 7.5791069998483330e+07 7.4633232372714087e+07 7.3640894237230554e+07 7.2796465506787315e+07 7.2082931898265421e+07 7.1488006605412677e+07 7.0995993888222486e+07 7.0595881770156354e+07 7.0274732530865148e+07 7.0021638439518690e+07 6.9821566018599391e+07 6.9659751879362732e+07 6.9525492539848775e+07 6.9408453325516045e+07 6.9298213084412485e+07 6.9220267133006647e+07 6.9141584282807440e+07 6.9061309125169322e+07 6.8977232187156796e+07 6.8890499178666890e+07 6.8798592427538097e+07 6.8704722879652709e+07 6.8600342151779592e+07 6.8488632654891238e+07 6.8367538832091093e+07 6.8235455550703019e+07 6.8090432302109584e+07 6.7930271795922458e+07 6.7751793579558566e+07 6.7555501801463738e+07 6.7333778550702199e+07 6.7085188327629194e+07 6.6806124139667265e+07 6.6492704284022428e+07 6.6140925731726147e+07 6.5746773274242982e+07 6.5305783611382596e+07 6.4818695384141818e+07 6.4276788404755093e+07 6.3682008533626534e+07 6.3035731643028557e+07 6.2343026854222648e+07 6.1612518941126883e+07 6.0860624218459114e+07 6.0111750387454793e+07 5.9406037616068795e+07 5.8793605652268156e+07 5.8353321483078472e+07 5.8194915586240575e+07 5.8477936690714210e+07 5.9434486082953416e+07 6.1416290128220126e+07 6.4980125952278547e+07 7.1064411753393829e+07 1.4317280715270555e+07 +9.7832610870291319e+00 2.0185125241052797e+08 2.0183127967878595e+08 2.0179745930660439e+08 2.0175268187582654e+08 2.0170686774043816e+08 2.0167581319924471e+08 2.0166669787283865e+08 2.0166745916688019e+08 2.0166549872146434e+08 2.0165770593840030e+08 2.0164485087823060e+08 2.0162639480145818e+08 2.0160115568341261e+08 2.0156798131947410e+08 2.0152569093449655e+08 2.0147281382080233e+08 2.0140759566126761e+08 2.0132801593393677e+08 2.0123171341898316e+08 2.0111588857050568e+08 2.0097725093856940e+08 2.0081184377647540e+08 2.0061406540949672e+08 2.0037425812350187e+08 2.0008261621478048e+08 1.9973427237801749e+08 1.9932284638747773e+08 1.9883864155390227e+08 1.9826990586763191e+08 1.9760308604506651e+08 1.9682272247713730e+08 1.9591128616694918e+08 1.9484904202041063e+08 1.9361396676146910e+08 1.9218176274012110e+08 1.9052597291468105e+08 1.8861830612521330e+08 1.8642919961458007e+08 1.8392874420946139e+08 1.8108799000319630e+08 1.7762661907030642e+08 1.7371663133266965e+08 1.6934347931625366e+08 1.6450839962748691e+08 1.5923312765895146e+08 1.5356375731203157e+08 1.4757263009409538e+08 1.4135709753347376e+08 1.3503452016920426e+08 1.2873266487452361e+08 1.2257791229548253e+08 1.1668589706014831e+08 1.1115212566607334e+08 1.0603846088504258e+08 1.0137702919453560e+08 9.7175578382736772e+07 9.3419866819451988e+07 9.0082902167874143e+07 8.7129394264891192e+07 8.4524512448091388e+07 8.2231098924541175e+07 8.0218242806518078e+07 7.8454456518004984e+07 7.6916778069227904e+07 7.5580881378182188e+07 7.4426080421557218e+07 7.3436348304305747e+07 7.2594140429129258e+07 7.1882486853143871e+07 7.1289132243905857e+07 7.0798422770991877e+07 7.0399374388401046e+07 7.0079083272596836e+07 6.9826669458671898e+07 6.9627138673568785e+07 6.9465766483349755e+07 6.9331876561273292e+07 6.9215161102749452e+07 6.9105227035454676e+07 6.9027497966103390e+07 6.8949034176734611e+07 6.8868982568427503e+07 6.8785139787501872e+07 6.8698648339403942e+07 6.8606997656747460e+07 6.8513389254589602e+07 6.8409299235910118e+07 6.8297900857650474e+07 6.8177144287223071e+07 6.8045428861960858e+07 6.7900809505153850e+07 6.7741095045635685e+07 6.7563113984440058e+07 6.7367368586543247e+07 6.7146262825816780e+07 6.6898364913146071e+07 6.6620077901013419e+07 6.6307530896646850e+07 6.5956732018922888e+07 6.5563677241264254e+07 6.5123915786224499e+07 6.4638183776709847e+07 6.4097785954446293e+07 6.3504662484275848e+07 6.2860185407071091e+07 6.2169409727253713e+07 6.1440936199975714e+07 6.0691135422729798e+07 5.9944347210204177e+07 5.9240599521729790e+07 5.8629873120549046e+07 5.8190815105017953e+07 5.8032850450939767e+07 5.8315083400000326e+07 5.9268968906705156e+07 6.1245253867833011e+07 6.4799164985517509e+07 7.0866506503079340e+07 1.4268046835412873e+07 +9.7882294098033906e+00 2.0143177021546799e+08 2.0141183958524576e+08 2.0137808719985843e+08 2.0133339841334552e+08 2.0128767118148929e+08 2.0125666790784377e+08 2.0124755329338416e+08 2.0124829033864045e+08 2.0124630645610222e+08 2.0123849638221163e+08 2.0122562730093539e+08 2.0120716035096151e+08 2.0118191449972779e+08 2.0114873819366097e+08 2.0110645112488750e+08 2.0105358332046512e+08 2.0098838129802772e+08 2.0090882539032286e+08 2.0081255535525575e+08 2.0069677288111803e+08 2.0055818902286863e+08 2.0039284900530398e+08 2.0019515463860130e+08 1.9995545436396924e+08 1.9966394530789796e+08 1.9931576103887349e+08 1.9890452715935361e+08 1.9842055437563190e+08 1.9785209904382992e+08 1.9718561806172067e+08 1.9640566436135206e+08 1.9549472444110978e+08 1.9443308236876529e+08 1.9319873853022382e+08 1.9176742439922327e+08 1.9011271866121247e+08 1.8820637365747508e+08 1.8601887909960541e+08 1.8352038819719487e+08 1.8068202392420310e+08 1.7722379009040660e+08 1.7331764034453964e+08 1.6894914688693789e+08 1.6411966276646686e+08 1.5885102312068823e+08 1.5318938770375288e+08 1.4720711113034898e+08 1.4100148862171170e+08 1.3468974514507994e+08 1.2839943675018635e+08 1.2225667513700831e+08 1.1637678791639704e+08 1.1085496927777196e+08 1.0575281887129636e+08 1.0110225782164398e+08 9.6910890798352316e+07 9.3164403427349031e+07 8.9835783435728595e+07 8.6889763987796977e+07 8.4291554853644893e+07 8.2004061334830299e+07 7.9996429688739032e+07 7.8237240384802386e+07 7.6703581030461594e+07 7.5371183736273617e+07 7.4219413204165518e+07 7.3232281723193720e+07 7.2392290096231356e+07 7.1682512632681713e+07 7.1090725414205834e+07 7.0601316431191564e+07 7.0203329515755638e+07 6.9883894672009125e+07 6.9632159647976711e+07 6.9433169295485348e+07 6.9272238053832233e+07 6.9138716699872285e+07 6.9022324244613826e+07 6.8912695633761153e+07 6.8835182936265230e+07 6.8756937691979170e+07 6.8677109106415540e+07 6.8593499930867895e+07 6.8507249474073932e+07 6.8415854255982086e+07 6.8322506385597289e+07 6.8218706391165212e+07 6.8107618398444071e+07 6.7987198285715833e+07 6.7855849849905983e+07 6.7711633433318079e+07 6.7552363969528988e+07 6.7374878891648233e+07 6.7179678588054851e+07 6.6959188862508237e+07 6.6711981629156694e+07 6.6434469961833887e+07 6.6122793752345338e+07 6.5772972241209060e+07 6.5381012557232209e+07 6.4942476416022547e+07 6.4458097430367671e+07 6.3919205209701300e+07 6.3327734238193989e+07 6.2685052734095126e+07 6.1996201618523434e+07 6.1269757684211776e+07 6.0522045919305392e+07 5.9777338411370382e+07 5.9075551177364320e+07 5.8466526320637159e+07 5.8028691570029169e+07 5.7871167118753709e+07 5.8152613769076951e+07 5.9103841666082598e+07 6.1074620545407757e+07 6.4618630337471344e+07 7.0669067491435215e+07 1.4218971278242070e+07 +9.7931977325776494e+00 2.0101280849326608e+08 2.0099291778965119e+08 2.0095923315197799e+08 2.0091463290552837e+08 2.0086899248356608e+08 2.0083804045303968e+08 2.0082892660310325e+08 2.0082963949908757e+08 2.0082763229514703e+08 2.0081980505633622e+08 2.0080692209847477e+08 2.0078844444298837e+08 2.0076319205222750e+08 2.0073001402853906e+08 2.0068773053698367e+08 2.0063487234560475e+08 2.0056968681482816e+08 2.0049015514173353e+08 2.0039391807344502e+08 2.0027817854520842e+08 2.0013964913175786e+08 1.9997437704775560e+08 1.9977676760978025e+08 1.9953717545168316e+08 1.9924580058364919e+08 1.9889777747738397e+08 1.9848673758286059e+08 1.9800299903654069e+08 1.9743482660528573e+08 1.9676868741948369e+08 1.9598914700753772e+08 1.9507870742239481e+08 1.9401767195468885e+08 1.9278406471413419e+08 1.9135364635672441e+08 1.8970003134582061e+08 1.8779501556072497e+08 1.8560914119674572e+08 1.8311262382765821e+08 1.8027665924578604e+08 1.7682157366488925e+08 1.7291927351576933e+08 1.6855545031260231e+08 1.6373157306450710e+08 1.5846957605977327e+08 1.5281568423019636e+08 1.4684226460338029e+08 1.4064655546551666e+08 1.3434564574920204e+08 1.2806688046708597e+08 1.2193610245675455e+08 1.1606833271213359e+08 1.1055845377456984e+08 1.0546780293247479e+08 1.0082809674205732e+08 9.6646797477485895e+07 9.2909518595076904e+07 8.9589228304089099e+07 8.6650683354498371e+07 8.4059134103187770e+07 8.1777548984463930e+07 7.9775131405636087e+07 7.8020529819334894e+07 7.6490881386859044e+07 7.5161976324719399e+07 7.4013229977546319e+07 7.3028693755342722e+07 7.2190913773500293e+07 7.1483008505851060e+07 7.0892785388347685e+07 7.0404674143482387e+07 7.0007746429224104e+07 6.9689166008082077e+07 6.9438108288267091e+07 6.9239657166696876e+07 6.9079165874451995e+07 6.8946012240537927e+07 6.8829942037148789e+07 6.8720618166354924e+07 6.8643321331559345e+07 6.8565294117402568e+07 6.8485688028684765e+07 6.8402311907712042e+07 6.8316301873904124e+07 6.8225161517498240e+07 6.8132073565856904e+07 6.8028562911777779e+07 6.7917784572691455e+07 6.7797700124301285e+07 6.7666717812520251e+07 6.7522903386085287e+07 6.7364077868708640e+07 6.7187087604306325e+07 6.6992431110942602e+07 6.6772555968038335e+07 6.6526037785524651e+07 6.6249299634819821e+07 6.5938492167051353e+07 6.5589645717946179e+07 6.5198778545744017e+07 6.4761464828939356e+07 6.4278435678202584e+07 6.3741045509325340e+07 6.3151223140238881e+07 6.2510332975765713e+07 6.1823401886662178e+07 6.1098982760060586e+07 6.0353355082082786e+07 5.9610723372513011e+07 5.8910891971823819e+07 5.8303564647744648e+07 5.7866950277797364e+07 5.7709864990989432e+07 5.7990527196312524e+07 5.8939103749683566e+07 6.0904389529133655e+07 6.4438521339654379e+07 7.0472093987398267e+07 1.4170053585902231e+07 +9.7981660553519081e+00 2.0059436453508940e+08 2.0057451434833655e+08 2.0054089794754153e+08 2.0049638619491267e+08 2.0045083249220684e+08 2.0041993167987686e+08 2.0041081865037987e+08 2.0041150749549955e+08 2.0040947708616450e+08 2.0040163280757803e+08 2.0038873611761707e+08 2.0037024792331383e+08 2.0034498918612683e+08 2.0031180966843757e+08 2.0026953001400092e+08 2.0021668173854339e+08 2.0015151305273339e+08 2.0007200602757946e+08 1.9997580241045076e+08 1.9986010639718038e+08 1.9972163209704757e+08 1.9955642873224562e+08 1.9935890514740789e+08 1.9911942220618916e+08 1.9882818285557666e+08 1.9848032250032407e+08 1.9806947845653701e+08 1.9758597632521608e+08 1.9701808932934985e+08 1.9635229488216376e+08 1.9557317116378650e+08 1.9466323584031710e+08 1.9360281148636448e+08 1.9236994599627575e+08 1.9094042926653764e+08 1.8928791158871540e+08 1.8738423241642511e+08 1.8519998644257149e+08 1.8270545158705312e+08 1.7987189639622313e+08 1.7641997015210581e+08 1.7252153112561423e+08 1.6816238978514618e+08 1.6334413061872250e+08 1.5808878647158566e+08 1.5244264678088319e+08 1.4647809029540673e+08 1.4029229774171954e+08 1.3400222155895853e+08 1.2773499551274639e+08 1.2161619366438070e+08 1.1576053079335734e+08 1.1026257845298423e+08 1.0518341232944708e+08 1.0055454519293724e+08 9.6383297643291280e+07 9.2655211539113104e+07 8.9343235988238901e+07 8.6412151582364187e+07 8.3827249418458298e+07 8.1551561100907087e+07 7.9554347190731034e+07 7.7804324061291143e+07 7.6278678384081513e+07 7.4953258394682512e+07 7.3807529997861579e+07 7.2825583661476806e+07 7.1990010725672275e+07 7.1283973740791276e+07 7.0695311437744468e+07 7.0208495181934923e+07 6.9812624405168638e+07 6.9494896559257463e+07 6.9244514659677535e+07 6.9046601568916187e+07 6.8886549228307560e+07 6.8753762467571348e+07 6.8638013765758440e+07 6.8528993919860482e+07 6.8451912439235091e+07 6.8374102741021678e+07 6.8294718624262691e+07 6.8211575007835552e+07 6.8125804829597324e+07 6.8034918733062640e+07 6.7942090087995112e+07 6.7838868091476038e+07 6.7728398675182849e+07 6.7608649099018186e+07 6.7478032047353625e+07 6.7334618662382051e+07 6.7176236043814212e+07 6.6999739424773805e+07 6.6805625459755354e+07 6.6586363449165985e+07 6.6340532691512659e+07 6.6064566232275859e+07 6.5754625456175789e+07 6.5406751768363945e+07 6.5016974529927552e+07 6.4580880352579437e+07 6.4099197852930419e+07 6.3563306191499017e+07 6.2975128534666970e+07 6.2336025482974581e+07 6.1651009889844075e+07 6.0928610793129377e+07 6.0185062284435831e+07 5.9444501474768013e+07 5.8746621293513022e+07 5.8140987496452570e+07 5.7705590627547473e+07 5.7548943468439467e+07 5.7828823079703480e+07 5.8774754545510322e+07 6.0734560186572306e+07 6.4258837323058717e+07 7.0275585259318829e+07 1.4121293301617032e+07 +9.8031343781261668e+00 2.0017644060732520e+08 2.0015663079400420e+08 2.0012308244111994e+08 2.0007865910830045e+08 2.0003319204543456e+08 2.0000234242510435e+08 1.9999323027543867e+08 1.9999389516743308e+08 1.9999184166805133e+08 1.9998398047468179e+08 1.9997107019656682e+08 1.9995257162963128e+08 1.9992730673863620e+08 1.9989412594963151e+08 1.9985185039137024e+08 1.9979901233317411e+08 1.9973386084419835e+08 1.9965437887856945e+08 1.9955820919550097e+08 1.9944255726370323e+08 1.9930413874251041e+08 1.9913900487896931e+08 1.9894156806780916e+08 1.9870219543910438e+08 1.9841109292939821e+08 1.9806339690624461e+08 1.9765275057052040e+08 1.9716948702212977e+08 1.9660188798480815e+08 1.9593644120529884e+08 1.9515773756986830e+08 1.9424831041628227e+08 1.9318850166351369e+08 1.9195638305161011e+08 1.9052777377462080e+08 1.8887636000211191e+08 1.8697402479806149e+08 1.8479141536617777e+08 1.8229887195345578e+08 1.7946773579647356e+08 1.7601897990281254e+08 1.7212441344658181e+08 1.6776996548999330e+08 1.6295733551947629e+08 1.5770865434554154e+08 1.5207027523963115e+08 1.4611458798331091e+08 1.3993871512252215e+08 1.3365947214770506e+08 1.2740378137052925e+08 1.2129694816616154e+08 1.1545338150310537e+08 1.0996734260720800e+08 1.0489964632084557e+08 1.0028160240947017e+08 9.6120390517087907e+07 9.2401481474375054e+07 8.9097805701868221e+07 8.6174167887624323e+07 8.3595900020310327e+07 8.1326096910558671e+07 7.9334076276667133e+07 7.7588622349613190e+07 7.6066971267044723e+07 7.4745029196626499e+07 7.3602312520669460e+07 7.2622950701681867e+07 7.1789580216847301e+07 7.1085407605226025e+07 7.0498302833028361e+07 7.0012778819963083e+07 6.9617962719472781e+07 6.9301085603457406e+07 6.9051378041795030e+07 6.8854001783162922e+07 6.8694387397848323e+07 6.8561966664624810e+07 6.8446538715301186e+07 6.8337822180226132e+07 6.8260955546044946e+07 6.8183362850422770e+07 6.8104200181480095e+07 6.8021288520463735e+07 6.7935757631360993e+07 6.7845125193710402e+07 6.7752555244096965e+07 6.7649621223358661e+07 6.7539460000309467e+07 6.7420044505522996e+07 6.7289791851273701e+07 6.7146778560654446e+07 6.6988837794947900e+07 6.6812833654991172e+07 6.6619260938307844e+07 6.6400610612131707e+07 6.6155465655952454e+07 6.5880269065729834e+07 6.5571192934634045e+07 6.5224289710916169e+07 6.4835599832307719e+07 6.4400722314101741e+07 6.3920383286598481e+07 6.3385986593938164e+07 6.2799449765466265e+07 6.2162129606228024e+07 6.1479024985670604e+07 6.0758641148597285e+07 6.0017166899273761e+07 5.9278672098741166e+07 5.8582738530283667e+07 5.7978794261018589e+07 5.7544612017977372e+07 5.7388401951550752e+07 5.7667500816648357e+07 5.8610793441275120e+07 6.0565131885049604e+07 6.4079577618090756e+07 7.0079540574982822e+07 1.4072689969688462e+07 +9.8081027009004256e+00 1.9975903794401541e+08 1.9973926844977188e+08 1.9970578750255570e+08 1.9966145247369632e+08 1.9961607197376090e+08 1.9958527351792753e+08 1.9957616230984688e+08 1.9957680334586719e+08 1.9957472687165883e+08 1.9956684888816437e+08 1.9955392516519460e+08 1.9953541639155635e+08 1.9951014553834864e+08 1.9947696370008051e+08 1.9943469249578944e+08 1.9938186495547485e+08 1.9931673101363313e+08 1.9923727451758581e+08 1.9914113924895552e+08 1.9902553196302533e+08 1.9888716988370317e+08 1.9872210630014521e+08 1.9852475717901099e+08 1.9828549595362875e+08 1.9799453160247052e+08 1.9764700148548004e+08 1.9723655470687935e+08 1.9675353189972898e+08 1.9618622333274993e+08 1.9552112713624173e+08 1.9474284695746377e+08 1.9383393186357576e+08 1.9277474317813423e+08 1.9154337654703802e+08 1.9011568051892644e+08 1.8846537719061995e+08 1.8656439327166283e+08 1.8438342848927715e+08 1.8189288539811638e+08 1.7906417785984027e+08 1.7561860326087680e+08 1.7172792074388984e+08 1.6737817760562816e+08 1.6257118785080585e+08 1.5732917966453877e+08 1.5169856948413309e+08 1.4575175743830800e+08 1.3958580727504984e+08 1.3331739708375996e+08 1.2707323752028087e+08 1.2097836536487529e+08 1.1514688418124188e+08 1.0967274552837880e+08 1.0461650416306105e+08 1.0000926762474468e+08 9.5858075318436176e+07 9.2148327614345714e+07 8.8852936657478631e+07 8.5936731485257894e+07 8.3365085128393337e+07 8.1101155638994902e+07 7.9114317895220250e+07 7.7373423922353446e+07 7.5855759279726759e+07 7.4537287980229139e+07 7.3397576800765514e+07 7.2420794135332838e+07 7.1589621510507241e+07 7.0887309366222858e+07 7.0301758844452485e+07 6.9817524330505952e+07 6.9423760647345737e+07 6.9107732417947158e+07 6.8858697713809431e+07 6.8661857090080708e+07 6.8502679665066794e+07 6.8370624114955828e+07 6.8255516170133308e+07 6.8147102232820839e+07 6.8070449938317358e+07 6.7993073732677758e+07 6.7914131988195792e+07 6.7831451734402969e+07 6.7746159568798900e+07 6.7655780190026447e+07 6.7563468325689808e+07 6.7460821600054622e+07 6.7350967841828242e+07 6.7231885638720676e+07 6.7101996520670861e+07 6.6959382378705762e+07 6.6801882421552941e+07 6.6626369596304618e+07 6.6433336850047216e+07 6.6215296762607694e+07 6.5970835987045698e+07 6.5696407446335040e+07 6.5388193916722998e+07 6.5042258863477536e+07 6.4654653774946257e+07 6.4220990040050469e+07 6.3741991310874023e+07 6.3209086053786777e+07 6.2624186175896101e+07 6.1988644695529513e+07 6.1307446531277545e+07 6.0589073191165514e+07 5.9849668299036421e+07 5.9113234624619275e+07 5.8419243069592215e+07 5.7816984335150808e+07 5.7384013847430244e+07 5.7228239840203099e+07 5.7506559804192044e+07 5.8447219824045233e+07 6.0396103991156802e+07 6.3900741554784752e+07 6.9883959201521099e+07 1.4024243135495534e+07 +9.8130710236746843e+00 1.9934215590523583e+08 1.9932242664326087e+08 1.9928901391892305e+08 1.9924476712561548e+08 1.9919947310046390e+08 1.9916872578004733e+08 1.9915961557706782e+08 1.9916023285395733e+08 1.9915813351970166e+08 1.9915023887029618e+08 1.9913730184541339e+08 1.9911878303028175e+08 1.9909350640591156e+08 1.9906032373965085e+08 1.9901805714614210e+08 1.9896524042295107e+08 1.9890012437736395e+08 1.9882069375891843e+08 1.9872459338350156e+08 1.9860903130521622e+08 1.9847072632760230e+08 1.9830573379975149e+08 1.9810847328106809e+08 1.9786932454474825e+08 1.9757849966387144e+08 1.9723113702030900e+08 1.9682089163973898e+08 1.9633811172206250e+08 1.9577109612572265e+08 1.9510635341455889e+08 1.9432850005031553e+08 1.9342010088755682e+08 1.9236153671419233e+08 1.9113092714157879e+08 1.8970415012966403e+08 1.8805496375099075e+08 1.8615533839526123e+08 1.8397602632564548e+08 1.8148749238405260e+08 1.7866122299242648e+08 1.7521884056217831e+08 1.7133205327568787e+08 1.6698702630362862e+08 1.6218568769023871e+08 1.5695036240572044e+08 1.5132752938684347e+08 1.4538959842679611e+08 1.3923357386133108e+08 1.3297599593180183e+08 1.2674336343755123e+08 1.2066044465988632e+08 1.1484103816468544e+08 1.0937878650538543e+08 1.0433398511004400e+08 9.9737540070038363e+07 9.5596351265463576e+07 9.1895749170874372e+07 8.8608628066316754e+07 8.5699841589183792e+07 8.3134803961316988e+07 8.0876736510700986e+07 7.8895071277261421e+07 7.7158728016694143e+07 7.5645041665522009e+07 7.4330033994475365e+07 7.3193322092365205e+07 7.2219113221211344e+07 7.1390133869458437e+07 7.0689678290181622e+07 7.0105678741488263e+07 6.9622730985803142e+07 6.9230017463499084e+07 6.8914836279475883e+07 6.8666472954148740e+07 6.8470166769820318e+07 6.8311425311428323e+07 6.8179734101247624e+07 6.8064945413975507e+07 6.7956833362574220e+07 6.7880394901613802e+07 6.7803234674252361e+07 6.7724513331773296e+07 6.7642063937880948e+07 6.7557009931038097e+07 6.7466883012017071e+07 6.7374828623848259e+07 6.7272468513661027e+07 6.7162921492945269e+07 6.7044171793166101e+07 6.6914645351370364e+07 6.6772429413990155e+07 6.6615369222642072e+07 6.6440346549655713e+07 6.6247852497824341e+07 6.6030421205724634e+07 6.5786642992515132e+07 6.5512980684694387e+07 6.5205627716354713e+07 6.4860658543635979e+07 6.4474135679406255e+07 6.4041682856567830e+07 6.3564021256830543e+07 6.3032603907852478e+07 6.2449337108724587e+07 6.1815570100392371e+07 6.1136273883326016e+07 6.0419906284993231e+07 5.9682565855648287e+07 5.8948188432032309e+07 5.8256134298331559e+07 5.7655557112190247e+07 5.7223795513642348e+07 5.7068456533885092e+07 5.7345999438864663e+07 5.8284033080490150e+07 6.0227475871149778e+07 6.3722328462514438e+07 6.9688840405583858e+07 1.3975952345492871e+07 +9.8180393464489430e+00 1.9892579565781832e+08 1.9890610765366027e+08 1.9887276256856084e+08 1.9882860388821137e+08 1.9878339624074587e+08 1.9875270002612096e+08 1.9874359089247540e+08 1.9874418450636330e+08 1.9874206242667887e+08 1.9873415123508510e+08 1.9872120105083162e+08 1.9870267235884923e+08 1.9867739015371528e+08 1.9864420687981102e+08 1.9860194515326136e+08 1.9854913954504311e+08 1.9848404174335715e+08 1.9840463740909651e+08 1.9830857240333337e+08 1.9819305609225330e+08 1.9805480887351909e+08 1.9788988817321134e+08 1.9769271716551954e+08 1.9745368199953207e+08 1.9716299789500293e+08 1.9681580428488460e+08 1.9640576213476852e+08 1.9592322724545926e+08 1.9535650710887012e+08 1.9469212077155581e+08 1.9391469756415933e+08 1.9300681818560001e+08 1.9194888294789332e+08 1.9071903548652560e+08 1.8929318322914007e+08 1.8764512027214843e+08 1.8574686071926776e+08 1.8356920938160071e+08 1.8108269336728868e+08 1.7825887159273788e+08 1.7481969213641188e+08 1.7093681129338539e+08 1.6659651174914965e+08 1.6180083510867485e+08 1.5657220253974059e+08 1.5095715481406674e+08 1.4502811070934376e+08 1.3888201453894442e+08 1.3263526825128874e+08 1.2641415859411961e+08 1.2034318544721209e+08 1.1453584278743696e+08 1.0908546482431129e+08 1.0405208841374698e+08 9.9466418974573538e+07 9.5335217574311346e+07 9.1643745354683951e+07 8.8364879138284311e+07 8.5463497412119284e+07 8.2905055736681357e+07 8.0652838749338359e+07 7.8676335652833641e+07 7.6944533869162232e+07 7.5434817667028576e+07 7.4123266487699449e+07 7.2989547648957118e+07 7.2017907217441678e+07 7.1191116555903226e+07 7.0492513642939046e+07 6.9910061793233186e+07 6.9428398057745382e+07 6.9036732442080572e+07 6.8722396464254498e+07 6.8474703040800855e+07 6.8278930101758584e+07 6.8120623617756620e+07 6.7989295905583039e+07 6.7874825730175495e+07 6.7767014853893518e+07 6.7690789721155882e+07 6.7613844961169735e+07 6.7535343499004424e+07 6.7453124418446496e+07 6.7368308006595403e+07 6.7278432949327677e+07 6.7186635428920805e+07 6.7084561255743437e+07 6.6975320246408276e+07 6.6856902262857139e+07 6.6727737638709247e+07 6.6585918963298477e+07 6.6429297496797651e+07 6.6254763815259419e+07 6.6062807183982909e+07 6.5845983246164918e+07 6.5602885979559831e+07 6.5329988090882123e+07 6.5023493646771051e+07 6.4679488068277277e+07 6.4294044866696835e+07 6.3862800089166820e+07 6.3386472455084592e+07 6.2856539492273703e+07 6.2274901906400733e+07 6.1642905169851452e+07 6.0965506398019373e+07 6.0251139793787077e+07 5.9515858940650724e+07 5.8783532900271922e+07 5.8093411603068434e+07 5.7494511984888621e+07 5.7063956414095193e+07 5.6909051431573853e+07 5.7185819116750225e+07 5.8121232596818812e+07 6.0059246890797593e+07 6.3544337670263134e+07 6.9494183453299507e+07 1.3927817147209497e+07 +9.8230076692232018e+00 1.9850996009959090e+08 1.9849031192758802e+08 1.9845703440847012e+08 1.9841296355973980e+08 1.9836784220153803e+08 1.9833719706430322e+08 1.9832808906273431e+08 1.9832865910985273e+08 1.9832651439869672e+08 1.9831858678855589e+08 1.9830562358697689e+08 1.9828708518222389e+08 1.9826179758623955e+08 1.9822861392413700e+08 1.9818635731956232e+08 1.9813356312321851e+08 1.9806848391130355e+08 1.9798910626627943e+08 1.9789307710483795e+08 1.9777760711797228e+08 1.9763941831234923e+08 1.9747457020832914e+08 1.9727748961611697e+08 1.9703856909688246e+08 1.9674802706880215e+08 1.9640100404509950e+08 1.9599116694994986e+08 1.9550887921789405e+08 1.9494245701860684e+08 1.9427842993045953e+08 1.9350144020660692e+08 1.9259408444725138e+08 1.9153678254693219e+08 1.9030770222502398e+08 1.8888278043175888e+08 1.8723584733510953e+08 1.8533896078642619e+08 1.8316297815577036e+08 1.8067848879611114e+08 1.7785712405215159e+08 1.7442115830545178e+08 1.7054219504122594e+08 1.6620663410039702e+08 1.6141663017101520e+08 1.5619470003127795e+08 1.5058744562653488e+08 1.4466729404176623e+08 1.3853112896024701e+08 1.3229521359797914e+08 1.2608562245801744e+08 1.2002658711919269e+08 1.1423129738037695e+08 1.0879277976893689e+08 1.0377081332382406e+08 9.9195903565820917e+07 9.5074673459611446e+07 9.1392315374683470e+07 8.8121689081974834e+07 8.5227698165693238e+07 8.2675839671072751e+07 8.0429461577507749e+07 7.8458110251009062e+07 7.6730840715390086e+07 7.5225086526075393e+07 7.3916984707427874e+07 7.2786252723297343e+07 7.1817175381580874e+07 7.0992568831547976e+07 7.0295814689807236e+07 6.9714907267988995e+07 6.9234524817396373e+07 6.8843904856667623e+07 6.8530412247963801e+07 6.8283387251266643e+07 6.8088146365001112e+07 6.7930273864461496e+07 6.7799308809547931e+07 6.7685156401417166e+07 6.7577645990583524e+07 6.7501633681669921e+07 6.7424903878833130e+07 6.7346621776194230e+07 6.7264632463335156e+07 6.7180053083572969e+07 6.7090429290876664e+07 6.6998888030972019e+07 6.6897099117345087e+07 6.6788163394391544e+07 6.6670076341150448e+07 6.6541272677545361e+07 6.6399850322905280e+07 6.6243666541927531e+07 6.6069620692996673e+07 6.5878200210422009e+07 6.5661982188015267e+07 6.5419564254942559e+07 6.5147428974508382e+07 6.4841791020826153e+07 6.4498746753923938e+07 6.4114380657330863e+07 6.3684341063049234e+07 6.3209344235788502e+07 6.2680892142728537e+07 6.2100879910754979e+07 6.1470649252474159e+07 6.0795143431035385e+07 6.0082773080874838e+07 5.9349546925037697e+07 5.8619267408066243e+07 5.7931074369876891e+07 5.7333848345695913e+07 5.6904495945615433e+07 5.6750023931885719e+07 5.7026018233540468e+07 5.7958817758893944e+07 5.9891416415348284e+07 6.3366768506515585e+07 6.9299987610293821e+07 1.3879837089247359e+07 +9.8279759919974605e+00 1.9809464837490001e+08 1.9807503963789102e+08 1.9804182995694059e+08 1.9799784692142323e+08 1.9795281178118858e+08 1.9792221769525850e+08 1.9791311088655293e+08 1.9791365746288234e+08 1.9791149023416454e+08 1.9790354632867205e+08 1.9789057025129020e+08 1.9787202229726794e+08 1.9784672949937347e+08 1.9781354566795847e+08 1.9777129443910521e+08 1.9771851195052755e+08 1.9765345167332512e+08 1.9757410112053078e+08 1.9747810827598086e+08 1.9736268516792279e+08 1.9722455542713261e+08 1.9705978068479076e+08 1.9686279140841755e+08 1.9662398660743871e+08 1.9633358795016742e+08 1.9598673705937091e+08 1.9557710683501631e+08 1.9509506837945762e+08 1.9452894658358684e+08 1.9386528160676035e+08 1.9308872867750338e+08 1.9218190035380307e+08 1.9112523617188063e+08 1.8989692799261189e+08 1.8847294234425363e+08 1.8682714551342544e+08 1.8493163913194028e+08 1.8275733313931882e+08 1.8027487911145389e+08 1.7745598075479081e+08 1.7402323938423991e+08 1.7014820475656882e+08 1.6581739350908285e+08 1.6103307293532556e+08 1.5581785483917245e+08 1.5021840167940342e+08 1.4430714817409015e+08 1.3818091677322933e+08 1.3195583152302319e+08 1.2575775449318279e+08 1.1971064906511614e+08 1.1392740127159792e+08 1.0850073062022392e+08 1.0349015908771680e+08 9.8925993069243506e+07 9.4814718134397209e+07 9.1141458438605249e+07 8.7879057104758009e+07 8.4992443060298815e+07 8.2447154980076283e+07 8.0206604216977045e+07 7.8240394300247312e+07 7.6517647790269926e+07 7.5015847483784780e+07 7.3711187900660396e+07 7.2583436567632437e+07 7.1616916970408082e+07 7.0794489957411557e+07 7.0099580695459172e+07 6.9520214433752105e+07 6.9041110535507470e+07 6.8651533980396882e+07 6.8338882905783787e+07 6.8092524862446293e+07 6.7897814837984607e+07 6.7740375331334919e+07 6.7609772094292849e+07 6.7495936709947169e+07 6.7388726056035385e+07 6.7312926067165613e+07 6.7236410712210596e+07 6.7158347449150056e+07 6.7076587359190561e+07 6.6992244449529767e+07 6.6902871325188898e+07 6.6811585719488852e+07 6.6710081389031909e+07 6.6601450228644453e+07 6.6483693321101286e+07 6.6355249762178041e+07 6.6214222788707934e+07 6.6058475655469939e+07 6.5884916482162103e+07 6.5694030878418751e+07 6.5478417334929690e+07 6.5236677124794707e+07 6.4965302644657984e+07 6.4660519150899276e+07 6.4318433916545309e+07 6.3935142371402510e+07 6.3506305102733485e+07 6.3032635928549387e+07 6.2505661194617808e+07 6.1927270463200882e+07 6.1298801696310118e+07 6.0625184337724999e+07 5.9914805509060979e+07 5.9183629179461151e+07 5.8455391333773755e+07 5.7769121984350137e+07 5.7173565586574823e+07 5.6745413504867882e+07 5.6591373432967976e+07 5.6866596184448220e+07 5.7796787951952502e+07 5.9723983809691370e+07 6.3189620299232647e+07 6.9106252141573727e+07 1.3832011721280104e+07 +9.8329443147717193e+00 1.9767986033520108e+08 1.9766029175215733e+08 1.9762714975003925e+08 1.9758325475501627e+08 1.9753830576887655e+08 1.9750776271265858e+08 1.9749865715455580e+08 1.9749918035604370e+08 1.9749699072312433e+08 1.9748903064506930e+08 1.9747604183308139e+08 1.9745748449291962e+08 1.9743218668137509e+08 1.9739900289850256e+08 1.9735675729869768e+08 1.9730398681196401e+08 1.9723894581292921e+08 1.9715962275386798e+08 1.9706366669684863e+08 1.9694829101990142e+08 1.9681022099251226e+08 1.9664552037388891e+08 1.9644862330995116e+08 1.9620993529402652e+08 1.9591968129583293e+08 1.9557300407706308e+08 1.9516358253144637e+08 1.9468179546235165e+08 1.9411597652467161e+08 1.9345267650774831e+08 1.9267656366860524e+08 1.9177026657917047e+08 1.9071424447502699e+08 1.8948671341688061e+08 1.8806366956563750e+08 1.8641901537287185e+08 1.8452489628323537e+08 1.8235227481582415e+08 1.7987186474691081e+08 1.7705544207726800e+08 1.7362593568051454e+08 1.6975484067011097e+08 1.6542879012000939e+08 1.6065016345344093e+08 1.5544166691609949e+08 1.4985002282192871e+08 1.4394767285151559e+08 1.3783137762082872e+08 1.3161712157344642e+08 1.2543055415992661e+08 1.1939537067069522e+08 1.1362415378621025e+08 1.0820931665682290e+08 1.0321012495080367e+08 9.8656686708529159e+07 9.4555350810058519e+07 9.0891173752608433e+07 8.7636982412789002e+07 8.4757731305348292e+07 8.2219000878308445e+07 7.9984265888568252e+07 7.8023187027877405e+07 7.6304954327853918e+07 7.4807099780532897e+07 7.3505875313563704e+07 7.2381098433571383e+07 7.1417131240349144e+07 7.0596879193954840e+07 6.9903810924029335e+07 6.9325982557848364e+07 6.8848154482229680e+07 6.8459619085734054e+07 6.8147807712406546e+07 6.7902115150800914e+07 6.7707934798629716e+07 6.7550927297859132e+07 6.7420685040361926e+07 6.7307165937467977e+07 6.7200254333036840e+07 6.7124666161394119e+07 6.7048364745814733e+07 6.6970519803093083e+07 6.6888988392203428e+07 6.6804881391441949e+07 6.6715758340243034e+07 6.6624727783387996e+07 6.6523507360925093e+07 6.6415180040319487e+07 6.6297752495119467e+07 6.6169668186459124e+07 6.6029035656028047e+07 6.5873724134496674e+07 6.5700650481693827e+07 6.5510298488901593e+07 6.5295287990145177e+07 6.5054223894944169e+07 6.4783608409986019e+07 6.4479677348842867e+07 6.4138548871700764e+07 6.3756329328510001e+07 6.3328691532446481e+07 6.2856346862637781e+07 6.2330845982638717e+07 6.1754072904759996e+07 6.1127361849055484e+07 6.0455628472832002e+07 5.9747236440640509e+07 5.9018105074004203e+07 5.8291904055345021e+07 5.7607553831749178e+07 5.7013663099032573e+07 5.6586708487820409e+07 5.6433099332623556e+07 5.6707552364286013e+07 5.7635142560952559e+07 5.9556948438216455e+07 6.3012892375994496e+07 6.8912976311737970e+07 1.3784340594051676e+07 +9.8379126375459780e+00 1.9726559860397965e+08 1.9724607025441676e+08 1.9721299488262105e+08 1.9716918784580320e+08 1.9712432494453743e+08 1.9709383290206170e+08 1.9708472864902994e+08 1.9708522857161534e+08 1.9708301664766601e+08 1.9707504051956534e+08 1.9706203911352122e+08 1.9704347254972032e+08 1.9701816991229889e+08 1.9698498639515671e+08 1.9694274667627463e+08 1.9688998848486328e+08 1.9682496710586843e+08 1.9674567194042781e+08 1.9664975313947538e+08 1.9653442544369128e+08 1.9639641577536973e+08 1.9623179003914875e+08 1.9603498608021346e+08 1.9579641591132921e+08 1.9550630785512251e+08 1.9515980584050295e+08 1.9475059477348304e+08 1.9426906119051844e+08 1.9370354755462950e+08 1.9304061533307481e+08 1.9226494586378449e+08 1.9135918378887194e+08 1.9030380810080570e+08 1.8907705911779964e+08 1.8765496268705872e+08 1.8601145747154045e+08 1.8411873276026458e+08 1.8194780366132933e+08 1.7946944612851793e+08 1.7665550838918737e+08 1.7322924749517602e+08 1.6936210300516155e+08 1.6504082407158875e+08 1.6026790177107498e+08 1.5506613620855916e+08 1.4948230889826629e+08 1.4358886781386369e+08 1.3748251114128783e+08 1.3127908329176593e+08 1.2510402091482523e+08 1.1908075131850626e+08 1.1332155424654788e+08 1.0791853715470447e+08 1.0293071015615913e+08 9.8387983705474794e+07 9.4296570696371138e+07 9.0641460521617800e+07 8.7395464211012304e+07 8.4523562109156698e+07 8.1991376579299971e+07 7.9762445812281162e+07 7.7806487660690933e+07 7.6092759561565265e+07 7.4598842656101763e+07 7.3301046191805005e+07 7.2179237571969315e+07 7.1217817447015688e+07 7.0399735801092565e+07 6.9708504639171839e+07 6.9132210907004684e+07 6.8655655927179039e+07 6.8268159444802716e+07 6.7957185941889346e+07 6.7712157392313972e+07 6.7518505524611279e+07 6.7361929042824149e+07 6.7232046927895755e+07 6.7118843365287662e+07 6.7012230103988595e+07 6.6936853247501463e+07 6.6860765263631158e+07 6.6783138122882575e+07 6.6701834848078229e+07 6.6617963196050502e+07 6.6529089623683505e+07 6.6438313511218727e+07 6.6337376322452173e+07 6.6229352120236807e+07 6.6112253155218624e+07 6.5984527243796647e+07 6.5844288219700336e+07 6.5689411275562711e+07 6.5516821989931375e+07 6.5327002342268936e+07 6.5112593456240654e+07 6.4872203870613836e+07 6.4602345578693949e+07 6.4299264926103868e+07 6.3959090934325598e+07 6.3577940847764343e+07 6.3151499675948597e+07 6.2680476366698772e+07 6.2156445841170207e+07 6.1581286575876951e+07 6.0956329057900079e+07 6.0286475190708980e+07 5.9580065237646542e+07 5.8852973978470407e+07 5.8128804950248092e+07 5.7446369296819530e+07 5.6854140274264984e+07 5.6428380290280849e+07 5.6275201028131790e+07 5.6548886167478248e+07 5.7473880970454775e+07 5.9390309664975494e+07 6.2836584063812137e+07 6.8720159384798139e+07 1.3736823259374928e+07 +9.8428809603202367e+00 1.9685186204703203e+08 1.9683237449065846e+08 1.9679936663123596e+08 1.9675564697064734e+08 1.9671087007937601e+08 1.9668042904068902e+08 1.9667132614424703e+08 1.9667180288408840e+08 1.9666956878164205e+08 1.9666157672568706e+08 1.9664856286591375e+08 1.9662998724043128e+08 1.9660467996407214e+08 1.9657149692903057e+08 1.9652926334211972e+08 1.9647651773826638e+08 1.9641151631973097e+08 1.9633224944612837e+08 1.9623636836784160e+08 1.9612108920074019e+08 1.9598314053453878e+08 1.9581859043600178e+08 1.9562188047070476e+08 1.9538342920597589e+08 1.9509346836873135e+08 1.9474714308379984e+08 1.9433814428649393e+08 1.9385686628030545e+08 1.9329166037831092e+08 1.9262909877433819e+08 1.9185387593922928e+08 1.9094865264074904e+08 1.8989392768594661e+08 1.8866796570726246e+08 1.8724682229212081e+08 1.8560447235981953e+08 1.8371314907543212e+08 1.8154392014475200e+08 1.7906762367511621e+08 1.7625618005259052e+08 1.7283317512192759e+08 1.6896999197892031e+08 1.6465349549572468e+08 1.5988628792739114e+08 1.5469126265746963e+08 1.4911525974634507e+08 1.4323073279589725e+08 1.3713431696811670e+08 1.3094171621647154e+08 1.2477815421043774e+08 1.1876679038771057e+08 1.1301960197188926e+08 1.0762839138756351e+08 1.0265191394491534e+08 9.8119883279964030e+07 9.4038377001491874e+07 9.0392317949032992e+07 8.7154501703113437e+07 8.4289934678804442e+07 8.1764281295708209e+07 7.9541143207217157e+07 7.7590295424516007e+07 7.5881062724018827e+07 7.4391075349506930e+07 7.3096699780291200e+07 7.1977853233187005e+07 7.1018974845531374e+07 7.0203059038144961e+07 6.9513661103909850e+07 6.8938898747626647e+07 6.8463614139419183e+07 6.8077154329205975e+07 6.7767016868004322e+07 6.7522650862341300e+07 6.7329526292728409e+07 6.7173379844646797e+07 6.7043857036564812e+07 6.6930968274156854e+07 6.6824652650867425e+07 6.6749486608130589e+07 6.6673611549058281e+07 6.6596201692854077e+07 6.6515126011940837e+07 6.6431489149320245e+07 6.6342864462488636e+07 6.6252342190995604e+07 6.6151687562818438e+07 6.6043965758604452e+07 6.5927194592979915e+07 6.5799826227016926e+07 6.5659979774183065e+07 6.5505536374673605e+07 6.5333430304743402e+07 6.5144141738416493e+07 6.4930333035577774e+07 6.4690616356633551e+07 6.4421513458400339e+07 6.4119281193603903e+07 6.3780059419148736e+07 6.3399976247954048e+07 6.2974728856410556e+07 6.2505023769144773e+07 6.1982460104193419e+07 6.1408910816693492e+07 6.0785702669632442e+07 6.0117723845356762e+07 5.9413291261624999e+07 5.8688235262140043e+07 5.7966093395549737e+07 5.7285567763966858e+07 5.6694996503038518e+07 5.6270428307482608e+07 5.6117677916440748e+07 5.6390596988049597e+07 5.7313002564483985e+07 5.9224066853448398e+07 6.2660694689394794e+07 6.8527800624367088e+07 1.3689459270130359e+07 +9.8478492830944955e+00 1.9643865392172489e+08 1.9641920562745377e+08 1.9638626554467851e+08 1.9634263289466581e+08 1.9629794193714184e+08 1.9626755189666528e+08 1.9625845040613472e+08 1.9625890405953819e+08 1.9625664789134943e+08 1.9624864002934539e+08 1.9623561385553235e+08 1.9621702932969332e+08 1.9619171760095868e+08 1.9615853526329538e+08 1.9611630805845630e+08 1.9606357533317000e+08 1.9599859421431130e+08 1.9591935602879214e+08 1.9582351313790926e+08 1.9570828304463848e+08 1.9557039602086660e+08 1.9540592231213072e+08 1.9520930722484902e+08 1.9497097591695595e+08 1.9468116356972238e+08 1.9433501653269559e+08 1.9392623178860131e+08 1.9344521143980002e+08 1.9288031569258752e+08 1.9221812751499495e+08 1.9144335456296745e+08 1.9053867378494588e+08 1.8948460385946360e+08 1.8825943378984457e+08 1.8683924895655230e+08 1.8519806058068904e+08 1.8330814573365644e+08 1.8114062472711548e+08 1.7866639779819849e+08 1.7585745742292228e+08 1.7243771884743527e+08 1.6857850780125675e+08 1.6426680451747903e+08 1.5950532195552573e+08 1.5431704619751242e+08 1.4874887519905531e+08 1.4287326752723420e+08 1.3678679473024806e+08 1.3060501988171797e+08 1.2445295349592230e+08 1.1845348725412960e+08 1.1271829627886191e+08 1.0733887862652801e+08 1.0237373555596215e+08 9.7852384650352105e+07 9.3780768932177752e+07 9.0143745237016693e+07 8.6914094091537341e+07 8.4056848220526278e+07 8.1537714239229456e+07 7.9320357291580662e+07 7.7374609544524178e+07 7.5669863047164962e+07 7.4183797099036455e+07 7.2892835323354304e+07 7.1776944666971534e+07 7.0820602690529332e+07 7.0006848164001942e+07 6.9319279580854803e+07 6.8746045345471397e+07 6.8272028387661114e+07 6.7886603009956092e+07 6.7577299763879046e+07 6.7333594835967466e+07 6.7140996379648939e+07 6.6985278981280230e+07 6.6856114645509526e+07 6.6743539944410063e+07 6.6637521254925296e+07 6.6562565525584333e+07 6.6486902885253027e+07 6.6409709796918102e+07 6.6328861168615170e+07 6.6245458536934868e+07 6.6157082143319212e+07 6.6066813110285416e+07 6.5966440370707341e+07 6.5859020245261043e+07 6.5742576099384487e+07 6.5615564428553775e+07 6.5476109613335446e+07 6.5322098727416113e+07 6.5150474723631226e+07 6.4961715976897612e+07 6.4748506029897638e+07 6.4509460657390021e+07 6.4241111356443025e+07 6.3939725461867683e+07 6.3601453640238680e+07 6.3222434847195216e+07 6.2798378396691628e+07 6.2329988397766486e+07 6.1808888105079256e+07 6.1236944966778703e+07 6.0615482030604757e+07 5.9949373790345304e+07 5.9246913873631127e+07 5.8523888293937877e+07 5.7803768767917067e+07 5.7125148617188856e+07 5.6536231175583228e+07 5.6112851934390269e+07 5.5960529394178867e+07 5.6232684219599217e+07 5.7152506726786546e+07 5.9058219366813868e+07 6.2485223578893483e+07 6.8335899293523580e+07 1.3642248180264661e+07 +9.8528176058687542e+00 1.9602597303126481e+08 1.9600656469459891e+08 1.9597369190909532e+08 1.9593014638176334e+08 1.9588554127583131e+08 1.9585520222935098e+08 1.9584610219299868e+08 1.9584653285667539e+08 1.9584425473439491e+08 1.9583623118821526e+08 1.9582319283965978e+08 1.9580459957434589e+08 1.9577928357868508e+08 1.9574610215333784e+08 1.9570388157958207e+08 1.9565116202257156e+08 1.9558620154122341e+08 1.9550699243884829e+08 1.9541118819766462e+08 1.9529600772111094e+08 1.9515818297703516e+08 1.9499378640690577e+08 1.9479726707853621e+08 1.9455905677498510e+08 1.9426939418320027e+08 1.9392342690567023e+08 1.9351485798976156e+08 1.9303409736944008e+08 1.9246951418660161e+08 1.9180770223117831e+08 1.9103338239564228e+08 1.9012924786387423e+08 1.8907583724242517e+08 1.8785146396205726e+08 1.8643224324867180e+08 1.8479222266929728e+08 1.8290372323210099e+08 1.8073791786227068e+08 1.7826576890206721e+08 1.7545934084778273e+08 1.7204287895137843e+08 1.6818765067541260e+08 1.6388075125553691e+08 1.5912500388213205e+08 1.5394348675772181e+08 1.4838315508354253e+08 1.4251647173227432e+08 1.3643994405192861e+08 1.3026899381766528e+08 1.2412841821651055e+08 1.1814084129043402e+08 1.1241763648106797e+08 1.0704999814040139e+08 1.0209617422620280e+08 9.7585487032818809e+07 9.3523745693322331e+07 8.9895741586277038e+07 8.6674240577656597e+07 8.3824301939410269e+07 8.1311674620601982e+07 7.9100087282824367e+07 7.7159429244944707e+07 7.5459159762166858e+07 7.3977007142470226e+07 7.2689452064682409e+07 7.1576511122486010e+07 7.0622700235887423e+07 6.9811102436772406e+07 6.9125359331964508e+07 6.8553649965816438e+07 6.8080897940009788e+07 6.7696504757662430e+07 6.7388033902241006e+07 6.7144988587733537e+07 6.6952915061451867e+07 6.6797625730141282e+07 6.6668819033417337e+07 6.6556557655881032e+07 6.6450835197297081e+07 6.6376089281645454e+07 6.6300638554773569e+07 6.6223661718468353e+07 6.6143039602333769e+07 6.6059870644178420e+07 6.5971741952245712e+07 6.5881725556222647e+07 6.5781634034300648e+07 6.5674514869635738e+07 6.5558396965123244e+07 6.5431741140475042e+07 6.5292677030763797e+07 6.5139097629028454e+07 6.4967954543602027e+07 6.4779724356733710e+07 6.4567111740513444e+07 6.4328736076807879e+07 6.4061138579619326e+07 6.3760597040948987e+07 6.3423272911391735e+07 6.3045315963362612e+07 6.2622447619222760e+07 6.2155369580037653e+07 6.1635729176987462e+07 6.1065388365451343e+07 6.0445666486764915e+07 5.9781424378780238e+07 5.9080932434401073e+07 5.8359932442399807e+07 5.7641830443731695e+07 5.6965111240091443e+07 5.6377843681953207e+07 5.5955650565492652e+07 5.5803754857429624e+07 5.6075147255412199e+07 5.6992392840652861e+07 5.8892766567781225e+07 6.2310170058134615e+07 6.8144454654895931e+07 1.3595189544789383e+07 +9.8577859286430130e+00 1.9561382016340983e+08 1.9559445211035880e+08 1.9556164647742420e+08 1.9551818819588575e+08 1.9547366884908971e+08 1.9544338078869995e+08 1.9543428225464487e+08 1.9543469002577704e+08 1.9543239006146583e+08 1.9542435095217165e+08 1.9541130056743228e+08 1.9539269872320393e+08 1.9536737864560077e+08 1.9533419834644917e+08 1.9529198465187907e+08 1.9523927855163157e+08 1.9517433904423958e+08 1.9509515941802487e+08 1.9499939428735670e+08 1.9488426396797961e+08 1.9474650213823798e+08 1.9458218345185688e+08 1.9438576075915778e+08 1.9414767250297284e+08 1.9385816092620721e+08 1.9351237491280791e+08 1.9310402359213996e+08 1.9262352476200372e+08 1.9205925654177669e+08 1.9139782359083065e+08 1.9062396008973098e+08 1.8972037551198906e+08 1.8866762844867006e+08 1.8744405681307068e+08 1.8602580572905880e+08 1.8438695915344152e+08 1.8249988206062499e+08 1.8033579999679437e+08 1.7786573738358834e+08 1.7506183066839245e+08 1.7164865570657673e+08 1.6779742079791236e+08 1.6349533582222036e+08 1.5874533372778857e+08 1.5357058426104894e+08 1.4801809922145122e+08 1.4216034513049826e+08 1.3609376455286071e+08 1.2993363755000386e+08 1.2380454781367135e+08 1.1782885186620200e+08 1.1211762188970882e+08 1.0676174919538568e+08 1.0181922919033924e+08 9.7319189642036349e+07 9.3267306488662541e+07 8.9648306196234882e+07 8.6434940361579463e+07 8.3592295039472595e+07 8.1086161649699852e+07 7.8880332397356153e+07 7.6944753749364972e+07 7.5248952099453986e+07 7.3770704716787472e+07 7.2486549247366115e+07 7.1376551848308131e+07 7.0425266735135928e+07 6.9615821114416078e+07 6.8931899618793368e+07 6.8361711873489097e+07 6.7890222064150140e+07 6.7506858842467874e+07 6.7199218555362403e+07 6.6956831391682953e+07 6.6765281613741003e+07 6.6610419368369453e+07 6.6481969478644364e+07 6.6370020688019432e+07 6.6264593758424848e+07 6.6190057157576628e+07 6.6114817839796431e+07 6.6038056740421668e+07 6.5957660597021252e+07 6.5874724755686849e+07 6.5786843175102472e+07 6.5697078815499283e+07 6.5597267841346040e+07 6.5490448920533165e+07 6.5374656480382852e+07 6.5248355654301375e+07 6.5109681319452308e+07 6.4956532374128401e+07 6.4785869061257347e+07 6.4598166176497832e+07 6.4386149468382575e+07 6.4148441918329500e+07 6.3881594434318833e+07 6.3581895240527749e+07 6.3245516545897044e+07 6.2868618913828209e+07 6.2446935845925227e+07 6.1981166642988749e+07 6.1462982652582958e+07 6.0894240351518869e+07 6.0276255383652709e+07 5.9613874963384233e+07 5.8915346304286204e+07 5.8196367075620867e+07 5.7480277798789628e+07 5.6805455015925825e+07 5.6219833411686942e+07 5.5798823594961978e+07 5.5647353702021576e+07 5.5917985488326170e+07 5.6832660289019324e+07 5.8727707818769380e+07 6.2135533452407032e+07 6.7953465970699117e+07 1.3548282919779591e+07 +9.8627542514172717e+00 1.9520219690287381e+08 1.9518286884493870e+08 1.9515013018195361e+08 1.9510675908098832e+08 1.9506232540607622e+08 1.9503208831617770e+08 1.9502299133333269e+08 1.9502337630936599e+08 1.9502105461427069e+08 1.9501300006282023e+08 1.9499993778057519e+08 1.9498132751691172e+08 1.9495600354179779e+08 1.9492282458189058e+08 1.9488061801369908e+08 1.9482792565775320e+08 1.9476300745925662e+08 1.9468385770064270e+08 1.9458813213907883e+08 1.9447305251502207e+08 1.9433535423148414e+08 1.9417111417094126e+08 1.9397478898658398e+08 1.9373682381609398e+08 1.9344746450815776e+08 1.9310186125660360e+08 1.9269372928995949e+08 1.9221349430185226e+08 1.9164954343150583e+08 1.9098849225441858e+08 1.9021508829004282e+08 1.8931205735635075e+08 1.8825997808385950e+08 1.8703721292421386e+08 1.8561993695059958e+08 1.8398227055335921e+08 1.8209662270192638e+08 1.7993427156968847e+08 1.7746630363233274e+08 1.7466492721829700e+08 1.7125504937903109e+08 1.6740781835848454e+08 1.6311055832322478e+08 1.5836631150702417e+08 1.5319833862459046e+08 1.4765370742891735e+08 1.4180488743623385e+08 1.3574825584788167e+08 1.2959895060060361e+08 1.2348134172547626e+08 1.1751751834747519e+08 1.1181825181259699e+08 1.0647413105562364e+08 1.0154289968124896e+08 9.7053491690865755e+07 9.3011450520127490e+07 8.9401438265121579e+07 8.6196192642346263e+07 8.3360826723801881e+07 8.0861174535387948e+07 7.8661091850963652e+07 7.6730582280650839e+07 7.5039239288857445e+07 7.3564889058373764e+07 7.2284126113919482e+07 7.1177066092397243e+07 7.0228301441147700e+07 6.9421003454069301e+07 6.8738899702405959e+07 6.8170230332841843e+07 6.7700000027295351e+07 6.7317664534102514e+07 6.7010852995101333e+07 6.6769122521377303e+07 6.6578095311718680e+07 6.6423659172456458e+07 6.6295565258951932e+07 6.6183928319785871e+07 6.6078796218441978e+07 6.6004468434304565e+07 6.5929440022026643e+07 6.5852894145468168e+07 6.5772723436062574e+07 6.5690020155895390e+07 6.5602385097095273e+07 6.5512872174341656e+07 6.5413341079181500e+07 6.5306821686535999e+07 6.5191353934915312e+07 6.5065407261160694e+07 6.4927121772084236e+07 6.4774402257178947e+07 6.4604217572771385e+07 6.4417040734454431e+07 6.4205618514009528e+07 6.3968577485105023e+07 6.3702478226536669e+07 6.3403619369826578e+07 6.3068183856605083e+07 6.2692343015624858e+07 6.2271842398387462e+07 6.1807378913202100e+07 6.1290647864037879e+07 6.0723500263400011e+07 6.0107248066403672e+07 5.9446724896525368e+07 5.8750154843155205e+07 5.8033191561373182e+07 5.7319110208710663e+07 5.6646179327503577e+07 5.6062199754028164e+07 5.5642370416546091e+07 5.5491325323461622e+07 5.5761198310804822e+07 5.6673308454460345e+07 5.8563042481768370e+07 6.1961313086718805e+07 6.7762932502634183e+07 1.3501527862372387e+07 +9.8677225741915304e+00 1.9479110368573415e+08 1.9477181573273799e+08 1.9473914374824381e+08 1.9469585975557634e+08 1.9465151168886873e+08 1.9462132554438943e+08 1.9461223016315341e+08 1.9461259244211811e+08 1.9461024912732962e+08 1.9460217925457788e+08 1.9458910521249160e+08 1.9457048668858445e+08 1.9454515899954113e+08 1.9451198159123540e+08 1.9446978239562029e+08 1.9441710407034120e+08 1.9435220751421350e+08 1.9427308801295722e+08 1.9417740247730678e+08 1.9406237408422610e+08 1.9392473997579160e+08 1.9376057927993074e+08 1.9356435247291946e+08 1.9332651142159152e+08 1.9303730563057664e+08 1.9269188663172919e+08 1.9228397576960072e+08 1.9180400666602293e+08 1.9124037552154776e+08 1.9057970887428975e+08 1.8980676763374186e+08 1.8890429401577294e+08 1.8785288674603495e+08 1.8663093286926389e+08 1.8521463745908627e+08 1.8357815738185090e+08 1.8169394563079387e+08 1.7953333301300684e+08 1.7706746803133667e+08 1.7426863082421464e+08 1.7086206022759145e+08 1.6701884354054993e+08 1.6272641885786620e+08 1.5798793722808546e+08 1.5282674975984117e+08 1.4728997951699477e+08 1.4145009835889080e+08 1.3540341754738528e+08 1.2926493248713374e+08 1.2315879938618819e+08 1.1720684009739570e+08 1.1151952555530120e+08 1.0618714298252216e+08 1.0126718492949930e+08 9.6788392390359014e+07 9.2756176988399282e+07 8.9155136989633456e+07 8.5957996617864937e+07 8.3129896194419503e+07 8.0636712485640272e+07 7.8442364858611315e+07 7.6516914060779035e+07 7.4830020559531122e+07 7.3359559403013930e+07 7.2082181906186447e+07 7.0978053102304161e+07 7.0031803606404096e+07 6.9226648712458327e+07 6.8546358843314096e+07 6.7979204607672632e+07 6.7510231096188739e+07 6.7128921101710305e+07 6.6822936492745146e+07 6.6581861250145026e+07 6.6391355430180766e+07 6.6237344418594338e+07 6.6109605651824184e+07 6.5998279829764158e+07 6.5893441857028246e+07 6.5819322392404526e+07 6.5744504382716164e+07 6.5668173215642914e+07 6.5588227402535893e+07 6.5505756128642268e+07 6.5418367003139243e+07 6.5329104918587856e+07 6.5229853034798071e+07 6.5123632455748692e+07 6.5008488617995135e+07 6.4882895251768276e+07 6.4744997680866212e+07 6.4592706571918719e+07 6.4422999373841740e+07 6.4236347328345440e+07 6.4025518177469373e+07 6.3789142079750165e+07 6.3523789261820465e+07 6.3225768737697497e+07 6.2891274156033598e+07 6.2516487585317202e+07 6.2097166597808421e+07 6.1634005716968268e+07 6.1118724143223569e+07 6.0553167439159170e+07 5.9938643879820809e+07 5.9279973530164115e+07 5.8585357410626829e+07 5.7870405267013133e+07 5.7158327048590645e+07 5.6487283557326838e+07 5.5904942097781494e+07 5.5486290423758857e+07 5.5335669116715230e+07 5.5604785115036398e+07 5.6514336719160624e+07 5.8398769918292552e+07 6.1787508285592884e+07 6.7572853512010202e+07 1.3454923930765683e+07 +9.8726908969657892e+00 1.9438054132014409e+08 1.9436129322153673e+08 1.9432868798005438e+08 1.9428549093785003e+08 1.9424122843018046e+08 1.9421109319806227e+08 1.9420199947024849e+08 1.9420233915088281e+08 1.9419997432700953e+08 1.9419188925326771e+08 1.9417880358879578e+08 1.9416017696341777e+08 1.9413484574337563e+08 1.9410167009812087e+08 1.9405947852031738e+08 1.9400681451066935e+08 1.9394193992925876e+08 1.9386285107351512e+08 1.9376720601831514e+08 1.9365222938979489e+08 1.9351466008265612e+08 1.9335057948690954e+08 1.9315445192211547e+08 1.9291673601874733e+08 1.9262768498702288e+08 1.9228245172481757e+08 1.9187476371003187e+08 1.9139506252375162e+08 1.9083175346951535e+08 1.9017147409526536e+08 1.8939899875046301e+08 1.8849708610200265e+08 1.8744635502594373e+08 1.8622521721440455e+08 1.8480990779220819e+08 1.8317462014418995e+08 1.8129185131510431e+08 1.7913298475093877e+08 1.7666923095531014e+08 1.7387294180572087e+08 1.7046968850454512e+08 1.6663049652029413e+08 1.6234291751908863e+08 1.5761021089311957e+08 1.5245581757242918e+08 1.4692691529094031e+08 1.4109597760281190e+08 1.3505924925745505e+08 1.2893158272302322e+08 1.2283692022642267e+08 1.1689681647589214e+08 1.1122144242056201e+08 1.0590078423542568e+08 1.0099208416392674e+08 9.6523890950046465e+07 9.2501485092431605e+07 8.8909401565383062e+07 8.5720351484826192e+07 8.2899502652379647e+07 8.0412774707691163e+07 7.8224150634336710e+07 7.6303748311159432e+07 7.4621295139899001e+07 7.3154714985939831e+07 7.1880715865524948e+07 7.0779512124861494e+07 6.9835772482704729e+07 6.9032756145842955e+07 6.8354276301636770e+07 6.7788633961460218e+07 6.7320914537159830e+07 6.6940627814208917e+07 6.6635468319351323e+07 6.6395046850646771e+07 6.6205061243502706e+07 6.6051474382583708e+07 6.5924089934190780e+07 6.5813074496055230e+07 6.5708529953447081e+07 6.5634618311832376e+07 6.5560010202797182e+07 6.5483893232748866e+07 6.5404171778888576e+07 6.5321931957498230e+07 6.5234788177648559e+07 6.5145776333675437e+07 6.5046802994615398e+07 6.4940880515769973e+07 6.4826059818609230e+07 6.4700818916435689e+07 6.4563308337577336e+07 6.4411444611907169e+07 6.4242213759846382e+07 6.4056085255521834e+07 6.3845847758394986e+07 6.3610135004600115e+07 6.3345526845346533e+07 6.3048342652542338e+07 6.2714786756307125e+07 6.2341051939079173e+07 6.1922907764932700e+07 6.1461046380077071e+07 6.0947210821686566e+07 6.0383241216469079e+07 5.9770442168231398e+07 5.9113620215848364e+07 5.8420953365888461e+07 5.7708007559546888e+07 5.6997927693245597e+07 5.6328767087529384e+07 5.5748059831527174e+07 5.5330583009613834e+07 5.5180384476625003e+07 5.5448745292806633e+07 5.6355744464973308e+07 5.8234889489631876e+07 6.1614118373210311e+07 6.7383228259662300e+07 1.3408470684216645e+07 +9.8776592197400479e+00 1.9397051119931802e+08 1.9395130250185719e+08 1.9391876394458655e+08 1.9387565337027535e+08 1.9383147635130417e+08 1.9380139199438879e+08 1.9379229997315207e+08 1.9379261715433937e+08 1.9379023093202940e+08 1.9378213077715057e+08 1.9376903362742189e+08 1.9375039905872777e+08 1.9372506449006635e+08 1.9369189081855744e+08 1.9364970710266826e+08 1.9359705769282785e+08 1.9353220541673607e+08 1.9345314759307137e+08 1.9335754347105271e+08 1.9324261913790572e+08 1.9310511525570199e+08 1.9294111549220064e+08 1.9274508803056979e+08 1.9250749829927716e+08 1.9221860326355276e+08 1.9187355721495569e+08 1.9146609378200322e+08 1.9098666253641438e+08 1.9042367792595693e+08 1.8976378855456722e+08 1.8899178226175928e+08 1.8809043421870294e+08 1.8704038350650656e+08 1.8582006651822940e+08 1.8440574848053780e+08 1.8277165933824414e+08 1.8089034021506217e+08 1.7873322720103389e+08 1.7627159277287886e+08 1.7347786047561580e+08 1.7007793445507860e+08 1.6624277746771255e+08 1.6196005439341703e+08 1.5723313249806225e+08 1.5208554196213210e+08 1.4656451455072773e+08 1.4074252486752367e+08 1.3471575057940888e+08 1.2859890081799521e+08 1.2251570367348529e+08 1.1658744683972217e+08 1.1092400170827027e+08 1.0561505407112764e+08 1.0071759661120775e+08 9.6259986577460214e+07 9.2247374029960111e+07 8.8664231186592564e+07 8.5483256438890055e+07 8.2669645297721893e+07 8.0189360407724798e+07 7.8006448391497076e+07 7.6091084252392203e+07 7.4413062257821783e+07 7.2950355041608959e+07 7.1679727232736692e+07 7.0581442406471774e+07 6.9640207321420938e+07 6.8839325010044292e+07 6.8162651337075725e+07 6.7598517657141820e+07 6.7132049616049260e+07 6.6752783939883612e+07 6.6448447745383605e+07 6.6208678595344834e+07 6.6019212025536031e+07 6.5866048339716747e+07 6.5739017382666066e+07 6.5628311596419670e+07 6.5524059786589593e+07 6.5450355472320572e+07 6.5375956762752421e+07 6.5300053478002466e+07 6.5220555847443938e+07 6.5138546925478846e+07 6.5051647904703490e+07 6.4962885704669461e+07 6.4864190244792148e+07 6.4758565153918989e+07 6.4644066825321004e+07 6.4519177545056812e+07 6.4382053033714324e+07 6.4230615670182392e+07 6.4061860025722697e+07 6.3876253813031577e+07 6.3666606556151286e+07 6.3431555561487079e+07 6.3167690281936578e+07 6.2871340422462039e+07 6.2538720969076090e+07 6.2166035392757714e+07 6.1749065220208697e+07 6.1288500228009820e+07 6.0776107230499700e+07 6.0213720932559699e+07 5.9602642275703914e+07 5.8947664304862984e+07 5.8256942067713886e+07 5.7545997805617556e+07 5.6837911517150782e+07 5.6170629299910009e+07 5.5591552343364492e+07 5.5175247566861026e+07 5.5025470797534801e+07 5.5293078235576116e+07 5.6197531073395498e+07 5.8071400556650899e+07 6.1441142673382446e+07 6.7194056006153703e+07 1.3362167683040414e+07 +9.8826275425143066e+00 1.9356101212204832e+08 1.9354184356659248e+08 1.9350937211726418e+08 1.9346634780654824e+08 1.9342225616191244e+08 1.9339222264316994e+08 1.9338313238270146e+08 1.9338342716401756e+08 1.9338101965309536e+08 1.9337290453703877e+08 1.9335979603835586e+08 1.9334115368395412e+08 1.9331581594826636e+08 1.9328264446048588e+08 1.9324046884970883e+08 1.9318783432236010e+08 1.9312300468122917e+08 1.9304397827444798e+08 1.9294841553618625e+08 1.9283354402731544e+08 1.9269610619058698e+08 1.9253218798813087e+08 1.9233626148696131e+08 1.9209879894699749e+08 1.9181006113813338e+08 1.9146520377361506e+08 1.9105796664871651e+08 1.9057880735768858e+08 1.9001614953334919e+08 1.8935665288157973e+08 1.8858511878185719e+08 1.8768433896230489e+08 1.8663497276282197e+08 1.8541548133199766e+08 1.8400216004710472e+08 1.8236927545441326e+08 1.8048941278380597e+08 1.7833406077335191e+08 1.7587455384513751e+08 1.7308338713954049e+08 1.6968679831781834e+08 1.6585568654612821e+08 1.6157782956103861e+08 1.5685670203316316e+08 1.5171592282319099e+08 1.4620277709129471e+08 1.4038973984729218e+08 1.3437292111019826e+08 1.2826688627736755e+08 1.2219514915066744e+08 1.1627873054248056e+08 1.1062720271577454e+08 1.0532995174438827e+08 1.0044372149606800e+08 9.5996678478684172e+07 9.1993842997063726e+07 8.8419625046355560e+07 8.5246710674642429e+07 8.2440323329565346e+07 7.9966468791229278e+07 7.7789257342630416e+07 7.5878921104441956e+07 7.4205321140348017e+07 7.2746478803938270e+07 7.1479215247977644e+07 7.0383843193037793e+07 6.9445107373486534e+07 6.8646354560300574e+07 6.7971483208643258e+07 6.7408854957251310e+07 6.6943635598321877e+07 6.6565388746768646e+07 6.6261874041009158e+07 6.6022755756207742e+07 6.5833807049901359e+07 6.5681065564883299e+07 6.5554387273479611e+07 6.5443990408181846e+07 6.5340030634799555e+07 6.5266533153030969e+07 6.5192343342616193e+07 6.5116653232389174e+07 6.5037378889973633e+07 6.4955600315310575e+07 6.4868945467962131e+07 6.4780432316127792e+07 6.4682014071028441e+07 6.4576685657064088e+07 6.4462508926235259e+07 6.4337970427195065e+07 6.4201231060284056e+07 6.4050219039497383e+07 6.3881937466042012e+07 6.3696852297437064e+07 6.3487793869621389e+07 6.3253403051895060e+07 6.2990278875960089e+07 6.2694761355039135e+07 6.2363076105682909e+07 6.1991437261748038e+07 6.1575638283617705e+07 6.1116366585894987e+07 6.0605412700373992e+07 6.0044605924447395e+07 5.9435243545880996e+07 5.8782105148070656e+07 5.8093322874624901e+07 5.7384375371615097e+07 5.6678277894390218e+07 5.6012869575918004e+07 5.5435419021172628e+07 5.5020283488017432e+07 5.4870927473517485e+07 5.5137783334426209e+07 5.6039695925581656e+07 5.7908302479864649e+07 6.1268580509507358e+07 6.7005336011482179e+07 1.3316014488608677e+07 +9.8875958652885654e+00 1.9315204641800615e+08 1.9313291655096811e+08 1.9310051261481413e+08 1.9305757497165960e+08 1.9301356856133547e+08 1.9298358584717461e+08 1.9297449740184888e+08 1.9297476988295659e+08 1.9297234119342142e+08 1.9296421123558640e+08 1.9295109152388412e+08 1.9293244154098180e+08 1.9290710081899977e+08 1.9287393172417143e+08 1.9283176446087375e+08 1.9277914509747401e+08 1.9271433841931251e+08 1.9263534381260678e+08 1.9253982290703368e+08 1.9242500474875182e+08 1.9228763357526127e+08 1.9212379765952820e+08 1.9192797297204760e+08 1.9169063863800213e+08 1.9140205928141731e+08 1.9105739206430358e+08 1.9065038296578082e+08 1.9017149763362151e+08 1.8960916892662281e+08 1.8895006769814503e+08 1.8817900891730791e+08 1.8727880092137283e+08 1.8623012336323193e+08 1.8501146219925752e+08 1.8359914300715360e+08 1.8196746897569850e+08 1.8008906946688193e+08 1.7793548587063065e+08 1.7547811452599683e+08 1.7268952209622419e+08 1.6929628032434362e+08 1.6546922391214806e+08 1.6119624309581962e+08 1.5648091948231155e+08 1.5134696004401290e+08 1.4584170270166823e+08 1.4003762223182774e+08 1.3403076044222909e+08 1.2793553860258158e+08 1.2187525607830797e+08 1.1597066693482941e+08 1.1033104473766074e+08 1.0504547650752065e+08 1.0017045804144442e+08 9.5733965858058915e+07 9.1740891188514680e+07 8.8175582336373165e+07 8.5010713385581031e+07 8.2211535946134612e+07 7.9744099062696487e+07 7.7572576699625447e+07 7.5667258086545438e+07 7.3998071014038995e+07 7.2543085506342232e+07 7.1279179150917262e+07 7.0186713729906142e+07 6.9250471889311954e+07 6.8453844051570758e+07 6.7780771175270125e+07 6.7219645123889849e+07 6.6755671749056026e+07 6.6378441502371974e+07 6.6075746475933202e+07 6.5837277604722336e+07 6.5648845589715369e+07 6.5496525332688585e+07 6.5370198882416859e+07 6.5260110208395012e+07 6.5156441776317894e+07 6.5083150633011453e+07 6.5009169222181484e+07 6.4933691776402794e+07 6.4854640187882930e+07 6.4773091409300074e+07 6.4686680150722019e+07 6.4598415452325687e+07 6.4500273758657508e+07 6.4395241311689116e+07 6.4281385409130506e+07 6.4157196851952724e+07 6.4020841707917653e+07 6.3870254012152486e+07 6.3702445374988101e+07 6.3517880004938409e+07 6.3309408997344837e+07 6.3075676777009048e+07 6.2813291931450441e+07 6.2518604757611856e+07 6.2187851477113634e+07 6.1817256861142561e+07 6.1402626274864830e+07 6.0944644778390385e+07 6.0435126561723843e+07 5.9875895528619677e+07 5.9268245322068170e+07 5.8616942095964171e+07 5.7930095144764185e+07 5.7223139623412751e+07 5.6519026198788732e+07 5.5855487296646424e+07 5.5279659252436243e+07 5.4865690165007249e+07 5.4716753898336202e+07 5.4982859980182074e+07 5.5882238402389489e+07 5.7745594619462349e+07 6.1096431204620466e+07 6.6817067535292178e+07 1.3270010663348220e+07 +9.8925641880628241e+00 1.9274361575861135e+08 1.9272452464830863e+08 1.9269218631110746e+08 1.9264933554471329e+08 1.9260541424081144e+08 1.9257548230249664e+08 1.9256639572603184e+08 1.9256664600693697e+08 1.9256419624820039e+08 1.9255605156768695e+08 1.9254292077864230e+08 1.9252426332362160e+08 1.9249891979579172e+08 1.9246575330200163e+08 1.9242359462769553e+08 1.9237099070878354e+08 1.9230620732017699e+08 1.9222724489489499e+08 1.9213176626882273e+08 1.9201700198513299e+08 1.9187969809012720e+08 1.9171594518336919e+08 1.9152022315877548e+08 1.9128301804096422e+08 1.9099459835595292e+08 1.9065012274275741e+08 1.9024334338095996e+08 1.8976473400262320e+08 1.8920273673308262e+08 1.8854403361855674e+08 1.8777345326713213e+08 1.8687382067709947e+08 1.8582583586777860e+08 1.8460800965623772e+08 1.8319669786928803e+08 1.8156624037823358e+08 1.7968931070307913e+08 1.7753750288878524e+08 1.7508227516260764e+08 1.7229626563761833e+08 1.6890638069980228e+08 1.6508338971616718e+08 1.6081529506552789e+08 1.5610578482351312e+08 1.5097865350734681e+08 1.4548129116615957e+08 1.3968617170593160e+08 1.3368926816356888e+08 1.2760485729149161e+08 1.2155602387266067e+08 1.1566325536433457e+08 1.1003552706585018e+08 1.0476162761046147e+08 9.9897805468106866e+07 9.5471847918294400e+07 9.1488517797703445e+07 8.7932102247382909e+07 8.4775263764085561e+07 8.1983282344644517e+07 7.9522250425892755e+07 7.7356405673441216e+07 7.5456094417219818e+07 7.3791311104857817e+07 7.2340174381707504e+07 7.1079618180698514e+07 6.9990053261924505e+07 6.9056300118847400e+07 6.8261792738111153e+07 6.7590514495121360e+07 6.7030887418783747e+07 6.6568157332889587e+07 6.6191941473911777e+07 6.5890064319554955e+07 6.5652243412151977e+07 6.5464326917767301e+07 6.5312426917382374e+07 6.5186451484914005e+07 6.5076670273497224e+07 6.4973292488745362e+07 6.4900207190687932e+07 6.4826433680706255e+07 6.4751168390298568e+07 6.4672339022218861e+07 6.4591019489465304e+07 6.4504851235877834e+07 6.4416834397190914e+07 6.4318968592692316e+07 6.4214231403985500e+07 6.4100695561395675e+07 6.3976856108150713e+07 6.3840884266931519e+07 6.3690719880105935e+07 6.3523383046373196e+07 6.3339336231437743e+07 6.3131451237435050e+07 6.2898376037522018e+07 6.2636728752094477e+07 6.2342869937164664e+07 6.2013046393987894e+07 6.1643493505680420e+07 6.1230028513248704e+07 6.0773334129924968e+07 6.0265248144528747e+07 5.9707589081386164e+07 5.9101646947233096e+07 5.8452174498800278e+07 5.7767258235956736e+07 5.7062289926744699e+07 5.6360155803743109e+07 5.5698481842927895e+07 5.5124272424296595e+07 5.4711466989736222e+07 5.4562949465390988e+07 5.4828307563346826e+07 5.5725157884295292e+07 5.7583276335274480e+07 6.0924694081487484e+07 6.6629249836892687e+07 1.3224155770739580e+07 +9.8975325108370829e+00 1.9233571776116407e+08 1.9231666658819500e+08 1.9228439421992177e+08 1.9224163018167070e+08 1.9219779388411087e+08 1.9216791269780970e+08 1.9215882804335523e+08 1.9215905622398651e+08 1.9215658550518197e+08 1.9214842622064164e+08 1.9213528448944288e+08 1.9211661971819967e+08 1.9209127356413394e+08 1.9205810987905690e+08 1.9201596003390947e+08 1.9196337183876839e+08 1.9189861206505856e+08 1.9181968220118871e+08 1.9172424629949182e+08 1.9160953641206062e+08 1.9147230040782177e+08 1.9130863122901851e+08 1.9111301271279925e+08 1.9087593781629315e+08 1.9058767901682219e+08 1.9024339645759422e+08 1.8983684853461286e+08 1.8935851709533453e+08 1.8879685357217997e+08 1.8813855124924073e+08 1.8736845242247644e+08 1.8646939880292755e+08 1.8542211082939705e+08 1.8420512423170000e+08 1.8279482513403913e+08 1.8116559013037711e+08 1.7929013692320538e+08 1.7714011221634221e+08 1.7468703609476504e+08 1.7190361804850259e+08 1.6851709966255045e+08 1.6469818410174283e+08 1.6043498553135571e+08 1.5573129802891713e+08 1.5061100309050643e+08 1.4512154226348251e+08 1.3933538794927377e+08 1.3334844385774812e+08 1.2727484183741380e+08 1.2123745194688274e+08 1.1535649517536575e+08 1.0974064898993334e+08 1.0447840430127025e+08 9.9625762995129734e+07 9.5210323860431552e+07 9.1236722016417116e+07 8.7689183968590766e+07 8.4540361001469061e+07 8.1755561721340656e+07 7.9300922083712906e+07 7.7140743474480972e+07 7.5245429314473957e+07 7.3585040638061807e+07 7.2137744662174538e+07 7.0880531575967893e+07 6.9793861033508778e+07 6.8862591311479986e+07 6.8070199874019459e+07 6.7400712426165462e+07 6.6842581103208549e+07 6.6381091614011891e+07 6.6005887928210281e+07 6.5704826840779349e+07 6.5467652449247792e+07 6.5280250306498818e+07 6.5128769592681140e+07 6.5003144356007859e+07 6.4893669879827201e+07 6.4790582049528942e+07 6.4717702104187585e+07 6.4644135997212216e+07 6.4569082353795409e+07 6.4490474673650309e+07 6.4409383837329157e+07 6.4323458005975209e+07 6.4235688434185401e+07 6.4138097857726432e+07 6.4033655219717540e+07 6.3920438670115001e+07 6.3796947484140731e+07 6.3661358027222291e+07 6.3511615934988774e+07 6.3344749773698494e+07 6.3161220272419021e+07 6.2953919887811601e+07 6.2721500133853994e+07 6.2460588641208969e+07 6.2167556200245492e+07 6.1838660166512229e+07 6.1470146509695731e+07 6.1057844317788459e+07 6.0602433964573242e+07 6.0095776778580666e+07 5.9539685918647915e+07 5.8935447764072895e+07 5.8287801706373207e+07 5.7604811505591460e+07 5.6901825646860510e+07 5.6201666082419172e+07 5.5541852595263459e+07 5.4969257923702218e+07 5.4557613353629962e+07 5.4409513567856386e+07 5.4674125474044554e+07 5.5568453751515076e+07 5.7421346986876480e+07 6.0753368462444648e+07 6.6441882175213657e+07 1.3178449375315625e+07 +9.9025008336113416e+00 1.9192835483621940e+08 1.9190934344863391e+08 1.9187713716997269e+08 1.9183445954534340e+08 1.9179070816914710e+08 1.9176087771507472e+08 1.9175179503411409e+08 1.9175200121427852e+08 1.9174950964414802e+08 1.9174133587406024e+08 1.9172818333528715e+08 1.9170951140337661e+08 1.9168416280192193e+08 1.9165100213224185e+08 1.9160886135577345e+08 1.9155628916264072e+08 1.9149155332752472e+08 1.9141265640341592e+08 1.9131726366885972e+08 1.9120260869714096e+08 1.9106544119326162e+08 1.9090185645814124e+08 1.9070634229180005e+08 1.9046939861731020e+08 1.9018130191148886e+08 1.8983721384910521e+08 1.8943089905925563e+08 1.8895284753511757e+08 1.8839152005603471e+08 1.8773362118961260e+08 1.8696400696740174e+08 1.8606553586523217e+08 1.8501894879346895e+08 1.8380280644699079e+08 1.8239352529498997e+08 1.8076551869300166e+08 1.7889154855158725e+08 1.7674331423469326e+08 1.7429239765571153e+08 1.7151157960709649e+08 1.6812843742410111e+08 1.6431360720604822e+08 1.6005531454874352e+08 1.5535745906454706e+08 1.5024400866485113e+08 1.4476245576739222e+08 1.3898527063720196e+08 1.3300828710424082e+08 1.2694549173020713e+08 1.2091953971062240e+08 1.1505038570956776e+08 1.0944640979656745e+08 1.0419580582543723e+08 9.9354329839602679e+07 9.4949392883950114e+07 9.0985503035433844e+07 8.7446826688362703e+07 8.4306004288220078e+07 8.1528373271710664e+07 7.9080113238321319e+07 7.6925589312283248e+07 7.5035261995443478e+07 7.3379258838401139e+07 7.1935795579432115e+07 7.0681918574788004e+07 6.9598136288510948e+07 6.8669344716338620e+07 6.7879064712747633e+07 6.7211364225876957e+07 6.6654725438039526e+07 6.6194473856393442e+07 6.5820280131606765e+07 6.5520033308269545e+07 6.5283503986541957e+07 6.5096615027851790e+07 6.4945552632144354e+07 6.4820276770493500e+07 6.4711108303202376e+07 6.4608309735525019e+07 6.4535634651371054e+07 6.4462275450309418e+07 6.4387432946373768e+07 6.4309046422535442e+07 6.4228183734165832e+07 6.4142499743240222e+07 6.4054976846501254e+07 6.3957660838038266e+07 6.3853512044281781e+07 6.3740614021911919e+07 6.3617470268046297e+07 6.3482262278394274e+07 6.3332941467999622e+07 6.3166544850082397e+07 6.2983531423048474e+07 6.2776814245878242e+07 6.2545048366136387e+07 6.2284870901794717e+07 6.1992662853067823e+07 6.1664692104638055e+07 6.1297215187204264e+07 6.0886073007044941e+07 6.0431943606019922e+07 5.9926711793181881e+07 5.9372185375988618e+07 5.8769647114808805e+07 5.8123823068277977e+07 5.7442754310938910e+07 5.6741746148786888e+07 5.6043556407642804e+07 5.5385598933847770e+07 5.4814615137218587e+07 5.4404128647866279e+07 5.4256445598509356e+07 5.4520313102177888e+07 5.5412125383922331e+07 5.7259805933430955e+07 6.0582453669513039e+07 6.6254963808771409e+07 1.3132891042660078e+07 +9.9074691563856003e+00 1.9152152734205461e+08 1.9150255506315872e+08 1.9147041578688505e+08 1.9142782431626260e+08 1.9138415776857656e+08 1.9135437802804834e+08 1.9134529737136430e+08 1.9134548165026984e+08 1.9134296933755171e+08 1.9133478119982085e+08 1.9132161798778427e+08 1.9130293905008522e+08 1.9127758817941624e+08 1.9124443073111179e+08 1.9120229926175901e+08 1.9114974334765789e+08 1.9108503177376238e+08 1.9100616816581181e+08 1.9091081903943908e+08 1.9079621950038695e+08 1.9065912110371348e+08 1.9049562152478698e+08 1.9030021254601505e+08 1.9006340108937898e+08 1.8977546767987141e+08 1.8943157555049670e+08 1.8902549557989347e+08 1.8854772593741781e+08 1.8798673678928229e+08 1.8732924403087658e+08 1.8656011747830021e+08 1.8566223242246345e+08 1.8461635029809383e+08 1.8340105681607234e+08 1.8199279883804202e+08 1.8036602652025631e+08 1.7849354600519705e+08 1.7634710931838635e+08 1.7389836017131132e+08 1.7112015058470747e+08 1.6774039418951073e+08 1.6392965916023839e+08 1.5967628216629142e+08 1.5498426789071050e+08 1.4987767009658945e+08 1.4440403144608885e+08 1.3863581943970647e+08 1.3266879747774526e+08 1.2661680645550519e+08 1.2060228656990169e+08 1.1474492630531907e+08 1.0915280876988280e+08 1.0391383142639293e+08 9.9083505216622040e+07 9.4689054186741754e+07 9.0734860043834612e+07 8.7205029593510345e+07 8.4072192813572481e+07 8.1301716190227985e+07 7.8859823090990812e+07 7.6710942395796582e+07 7.4825591676874429e+07 7.3173964929971054e+07 7.1734326364735439e+07 7.0483778414808348e+07 6.9402878270383000e+07 6.8476559581934616e+07 6.7688386507419080e+07 6.7022469151335850e+07 6.6467319683878757e+07 6.6008303323443137e+07 6.5635117350212649e+07 6.5335682990234055e+07 6.5099797294110678e+07 6.4913420353649735e+07 6.4762775308753096e+07 6.4637848002693497e+07 6.4528984819184631e+07 6.4426474823441029e+07 6.4354004109636366e+07 6.4280851318207249e+07 6.4206219447209440e+07 6.4128053548840344e+07 6.4047418460844398e+07 6.3961975729503341e+07 6.3874698916980214e+07 6.3777656817456253e+07 6.3673801162827201e+07 6.3561220903224945e+07 6.3438423747603469e+07 6.3303596309729412e+07 6.3154695770128466e+07 6.2988767568240225e+07 6.2806268978143990e+07 6.2600133608801007e+07 6.2369020034093454e+07 6.2109574836481959e+07 6.1818189201650813e+07 6.1491141517989568e+07 6.1124698851987891e+07 6.0714713899360478e+07 6.0261862377667822e+07 5.9758052517395161e+07 5.9205086788565263e+07 5.8604244341534659e+07 5.7960237933718450e+07 5.7281086008814648e+07 5.6582050797274373e+07 5.5885826151956730e+07 5.5229720238502093e+07 5.4660343451065145e+07 5.4251012263289183e+07 5.4103744949913695e+07 5.4366869837339476e+07 5.5256172161145411e+07 5.7098652533921354e+07 6.0411949024446577e+07 6.6068493995778821e+07 1.3087480339406166e+07 +9.9124374791598591e+00 1.9111523477780092e+08 1.9109630360537991e+08 1.9106423052066159e+08 1.9102172517718473e+08 1.9097814335069588e+08 1.9094841430324519e+08 1.9093933572041473e+08 1.9093949819695690e+08 1.9093696524975917e+08 1.9092876286227572e+08 1.9091558911072201e+08 1.9089690332159376e+08 1.9087155035934117e+08 1.9083839633773205e+08 1.9079627441278037e+08 1.9074373505338460e+08 1.9067904806191897e+08 1.9060021814532852e+08 1.9050491306587410e+08 1.9039036947419366e+08 1.9025334078883791e+08 1.9008992707516435e+08 1.8989462411791918e+08 1.8965794587053353e+08 1.8937017695402738e+08 1.8902648218715641e+08 1.8862063871399012e+08 1.8814315291022626e+08 1.8758250436890271e+08 1.8692542035730040e+08 1.8615678452410793e+08 1.8525948902597260e+08 1.8421431587373003e+08 1.8299987584553558e+08 1.8159264624230665e+08 1.7996711405884138e+08 1.7809612969344535e+08 1.7595149783480501e+08 1.7350492396080559e+08 1.7072933124580628e+08 1.6735297015723747e+08 1.6354634008832106e+08 1.5929788842698774e+08 1.5461172446167895e+08 1.4951198724600002e+08 1.4404626906312150e+08 1.3828703402256036e+08 1.3232997454889949e+08 1.2628878549540615e+08 1.2028569192752726e+08 1.1444011629817526e+08 1.0885984519168761e+08 1.0363248034539257e+08 9.8813288339644790e+07 9.4429306965050817e+07 9.0484792229471400e+07 8.6963791870060354e+07 8.3838925765829042e+07 8.1075589670549825e+07 7.8640050842348292e+07 7.6496801933192745e+07 7.4616417574594498e+07 7.2969158136351824e+07 7.1533336248636141e+07 7.0286110333104059e+07 6.9208086222122267e+07 6.8284235156469643e+07 6.7498164510823533e+07 6.6834026459246457e+07 6.6280363100691453e+07 6.5822579278371900e+07 6.5450398849704541e+07 6.5151775154562257e+07 6.4916531641744651e+07 6.4730665555149063e+07 6.4580436895441987e+07 6.4455857326670766e+07 6.4347298702919282e+07 6.4245076589622654e+07 6.4172809756150648e+07 6.4099862878924042e+07 6.4025441134987801e+07 6.3947495332220443e+07 6.3867087297938444e+07 6.3781885246287771e+07 6.3694853928144209e+07 6.3598085079689026e+07 6.3494521860001229e+07 6.3382258600022413e+07 6.3259807210195720e+07 6.3125359410079740e+07 6.2976878131902620e+07 6.2811417220685802e+07 6.2629432232227206e+07 6.2423877273383573e+07 6.2193414437079601e+07 6.1934699747543260e+07 6.1644134551512115e+07 6.1318007715835623e+07 6.0952596817380026e+07 6.0543766312767647e+07 6.0092189602569722e+07 5.9589798279958226e+07 5.9038389491426244e+07 5.8439238785871588e+07 5.7797045651652679e+07 5.7119805955844000e+07 5.6422738956721596e+07 5.5728474687551439e+07 5.5074215888919137e+07 5.4506442251313925e+07 5.4098263590559341e+07 5.3951411014268316e+07 5.4213795068798564e+07 5.5100593462440483e+07 5.6937886146918580e+07 6.0241853848652795e+07 6.5882471994031861e+07 1.3042216833235161e+07 +9.9174058019341178e+00 1.9070948181530777e+08 1.9069058910544327e+08 1.9065858187464279e+08 1.9061616278781191e+08 1.9057266557940176e+08 1.9054298719893742e+08 1.9053391073955819e+08 1.9053405151166677e+08 1.9053149803816432e+08 1.9052328151806766e+08 1.9051009736043438e+08 1.9049140487346044e+08 1.9046604999659806e+08 1.9043289960598460e+08 1.9039078746212095e+08 1.9033826493219629e+08 1.9027360284292272e+08 1.9019480699073881e+08 1.9009954639541915e+08 1.8998505926358628e+08 1.8984810089089757e+08 1.8968477374858066e+08 1.8948957764242503e+08 1.8925303359095365e+08 1.8896543035869107e+08 1.8862193437715414e+08 1.8821632907145235e+08 1.8773912905417567e+08 1.8717882338439804e+08 1.8652215074547124e+08 1.8575400866607466e+08 1.8485730621942413e+08 1.8381284604373747e+08 1.8259926403466776e+08 1.8119306797912353e+08 1.7956878174837020e+08 1.7769930001922065e+08 1.7555648014409420e+08 1.7311208933618435e+08 1.7033912184821919e+08 1.6696616551890826e+08 1.6316365010850340e+08 1.5892013336748680e+08 1.5423982872600091e+08 1.4914695996815455e+08 1.4368916837640575e+08 1.3793891404637712e+08 1.3199181788396901e+08 1.2596142832784405e+08 1.1996975518290472e+08 1.1413595502074113e+08 1.0856751834110770e+08 1.0335175182153471e+08 9.8543678420273915e+07 9.4170150413645133e+07 9.0235298778930753e+07 8.6723112702647790e+07 8.3606202332402155e+07 8.0849992905476630e+07 7.8420795692052782e+07 7.6283167132065400e+07 7.4407738904103801e+07 7.2764837680464834e+07 7.1332824461217180e+07 7.0088913566404298e+07 6.9013759386258498e+07 6.8092370687694654e+07 6.7308397975172609e+07 6.6646035405899182e+07 6.6093854948429756e+07 6.5637300983900115e+07 6.5266123895367920e+07 6.4968309068824619e+07 6.4733706298815817e+07 6.4548349903476186e+07 6.4398536664460704e+07 6.4274304016042806e+07 6.4166049229237087e+07 6.4064114310051516e+07 6.3992050867665723e+07 6.3919309410062343e+07 6.3845097288213827e+07 6.3767371052040175e+07 6.3687189525691010e+07 6.3602227574871749e+07 6.3515441162103020e+07 6.3418944907916181e+07 6.3315673420313679e+07 6.3203726397950262e+07 6.3081619942895010e+07 6.2947550868059739e+07 6.2799487843622379e+07 6.2634493099559799e+07 6.2453020479469880e+07 6.2248044536143422e+07 6.2018230874217749e+07 6.1760244937111720e+07 6.1470498207961388e+07 6.1145290007043637e+07 6.0780908396479622e+07 6.0373229564923026e+07 5.9922924603537716e+07 5.9421948409314446e+07 5.8872092819200650e+07 5.8274629789294243e+07 5.7634245570709921e+07 5.6958913508209102e+07 5.6263809991264291e+07 5.5571501386471346e+07 5.4919085264352925e+07 5.4352910923666984e+07 5.3945882019951023e+07 5.3799443183656275e+07 5.4061088185605213e+07 5.4945388666906133e+07 5.6777506130749024e+07 6.0072167463163771e+07 6.5696897061115369e+07 1.2997100092874961e+07 +9.9223741247083765e+00 1.9030426559158084e+08 1.9028541165014964e+08 1.9025347058118826e+08 1.9021113778462917e+08 1.9016772511370635e+08 1.9013809736525577e+08 1.9012902307933047e+08 1.9012914224418536e+08 1.9012656835185358e+08 1.9011833781624520e+08 1.9010514338555673e+08 1.9008644435405216e+08 1.9006108773878631e+08 1.9002794118256539e+08 1.8998583905551493e+08 1.8993333362855986e+08 1.8986869675992584e+08 1.8978993534387878e+08 1.8969471966761440e+08 1.8958028950578359e+08 1.8944340204414588e+08 1.8928016217592564e+08 1.8908507374727756e+08 1.8884866487367967e+08 1.8856122851120555e+08 1.8821793273064539e+08 1.8781256725476962e+08 1.8733565496236119e+08 1.8677569441758507e+08 1.8611943576442337e+08 1.8535179045864326e+08 1.8445568453946012e+08 1.8341194132395193e+08 1.8219922187573567e+08 1.8079406451294744e+08 1.7917103002102968e+08 1.7730305737792164e+08 1.7516205659983525e+08 1.7271985660304788e+08 1.6994952264282644e+08 1.6657998045984897e+08 1.6278158933245134e+08 1.5854301701852670e+08 1.5386858062637961e+08 1.4878258811249676e+08 1.4333272913884127e+08 1.3759145916733247e+08 1.3165432704507212e+08 1.2563473442712839e+08 1.1965447573198535e+08 1.1383244180275697e+08 1.0827582749463262e+08 1.0307164509174067e+08 9.8274674668109730e+07 9.3911583725803465e+07 8.9986378877336711e+07 8.6482991274947286e+07 8.3374021699596778e+07 8.0624925086880252e+07 7.8202056839260697e+07 7.6070037199204400e+07 7.4199554880110711e+07 7.2561002784845054e+07 7.1132790232193172e+07 6.9892187350772843e+07 6.8819897004874304e+07 6.7900965422957599e+07 6.7119086152496114e+07 6.6458495247333519e+07 6.5907794486448511e+07 6.5452467702491194e+07 6.5082291752336487e+07 6.4785284000330165e+07 6.4551320534475751e+07 6.4366472669239588e+07 6.4217073888064794e+07 6.4093187344266333e+07 6.3985235672756970e+07 6.3883587260317475e+07 6.3811726720692500e+07 6.3739190188853323e+07 6.3665187185005397e+07 6.3587679987292543e+07 6.3507724424015425e+07 6.3423001996048957e+07 6.3336459900726914e+07 6.3240235585126340e+07 6.3137255127873525e+07 6.3025623582500704e+07 6.2903861232432619e+07 6.2770169971994542e+07 6.2622524195225015e+07 6.2457994496702492e+07 6.2277033013693862e+07 6.2072634693252452e+07 6.1843468644295052e+07 6.1586209706773572e+07 6.1297279476012647e+07 6.0972987700418495e+07 6.0609632902072892e+07 6.0203102973263875e+07 5.9754066702999726e+07 5.9254502233579569e+07 5.8706196106243342e+07 5.8110416692908190e+07 5.7471837039249018e+07 5.6798408021965541e+07 5.6105263264699772e+07 5.5414905620351635e+07 5.4764327743890114e+07 5.4199748853572868e+07 5.3793866941559382e+07 5.3647840849716194e+07 5.3908748576529808e+07 5.4790557153279379e+07 5.6617511843437746e+07 5.9902889188823469e+07 6.5511768454183750e+07 1.2952129688098619e+07 +9.9273424474826353e+00 1.8989958862952757e+08 1.8988077295240840e+08 1.8984889738416138e+08 1.8980665079889226e+08 1.8976332260548940e+08 1.8973374544471806e+08 1.8972467338301748e+08 1.8972477103662953e+08 1.8972217683293787e+08 1.8971393239832896e+08 1.8970072782718399e+08 1.8968202240384716e+08 1.8965666422575030e+08 1.8962352170681211e+08 1.8958142983122364e+08 1.8952894177944815e+08 1.8946433044842300e+08 1.8938560383868542e+08 1.8929043351464570e+08 1.8917606083052868e+08 1.8903924487587121e+08 1.8887609298115346e+08 1.8868111305207515e+08 1.8844484033369303e+08 1.8815757202107063e+08 1.8781447785085258e+08 1.8740935385891262e+08 1.8693273122045037e+08 1.8637311804358146e+08 1.8571727597602680e+08 1.8495013044814917e+08 1.8405462451497325e+08 1.8301160222310811e+08 1.8179974985312846e+08 1.8039563630080822e+08 1.7877385930227777e+08 1.7690740215815639e+08 1.7476822754848027e+08 1.7232822605977187e+08 1.6956053387404662e+08 1.6619441515884030e+08 1.6240015786550319e+08 1.5816653940426201e+08 1.5349798009978783e+08 1.4841887152295884e+08 1.4297695109848619e+08 1.3724466903664917e+08 1.3131750158988214e+08 1.2530870326391566e+08 1.1933985296746145e+08 1.1352957597086293e+08 1.0798477192651850e+08 1.0279215939088731e+08 9.8006276291130736e+07 9.3653606093101591e+07 8.9738031708739534e+07 8.6243426769344270e+07 8.3142383052881375e+07 8.0400385405839443e+07 7.7983833482138708e+07 7.5857411340729147e+07 7.3991864716819510e+07 7.2357652671327785e+07 7.0933232790600225e+07 6.9695930922019064e+07 6.8626498319672942e+07 6.7710018609204844e+07 6.6930228294298626e+07 6.6271405239030868e+07 6.5722180973827809e+07 6.5268078696195066e+07 6.4898901685291179e+07 6.4602699215882547e+07 6.4369373617467105e+07 6.4185033122916855e+07 6.4036047838071153e+07 6.3912506584432669e+07 6.3804857307622023e+07 6.3703494715859495e+07 6.3631836591378681e+07 6.3559504492357098e+07 6.3485710103145294e+07 6.3408421416673422e+07 6.3328691272545710e+07 6.3244207790399276e+07 6.3157909425605342e+07 6.3061956393972978e+07 6.2959266266494155e+07 6.2847949438661151e+07 6.2726530365388125e+07 6.2593216009793654e+07 6.2445986476381510e+07 6.2281920703555688e+07 6.2101469128543936e+07 6.1897647040594146e+07 6.1669127045844369e+07 6.1412593358023196e+07 6.1124477660302930e+07 6.0801100104253784e+07 6.0438769646617197e+07 6.0033385854838870e+07 5.9585615223199993e+07 5.9087459080669180e+07 5.8540698686574467e+07 5.7946598837478563e+07 5.7309819405395672e+07 5.6638288852842681e+07 5.5947098140712373e+07 5.5258686760555446e+07 5.4609942706329063e+07 5.4046955426236339e+07 5.3642217745156929e+07 5.3496603403957106e+07 5.3756775630059414e+07 5.4636098300043896e+07 5.6457902642749980e+07 5.9734018346093617e+07 6.5327085430151686e+07 1.2907305189722950e+07 +9.9323107702568940e+00 1.8949544841199365e+08 1.8947667283587214e+08 1.8944486341913360e+08 1.8940270245777658e+08 1.8935945869701692e+08 1.8932993207194033e+08 1.8932086228620970e+08 1.8932093852352771e+08 1.8931832411585343e+08 1.8931006589833707e+08 1.8929685131881142e+08 1.8927813965588158e+08 1.8925278008992684e+08 1.8921964181050286e+08 1.8917756041966289e+08 1.8912509001448044e+08 1.8906050453673372e+08 1.8898181310160503e+08 1.8888668856110284e+08 1.8877237386014912e+08 1.8863563000556505e+08 1.8847256678044400e+08 1.8827769616936186e+08 1.8804156057908261e+08 1.8775446149043077e+08 1.8741157033307114e+08 1.8700668947141740e+08 1.8653035840641785e+08 1.8597109482917693e+08 1.8531567193454131e+08 1.8454902917405042e+08 1.8365412666794184e+08 1.8261182924208590e+08 1.8140084844458860e+08 1.7999778379291952e+08 1.7837727000975960e+08 1.7651233474135128e+08 1.7437499332935447e+08 1.7193719799807996e+08 1.6917215577939162e+08 1.6580946978796023e+08 1.6201935580671802e+08 1.5779070054339406e+08 1.5312802707728535e+08 1.4805581003813338e+08 1.4262183399812731e+08 1.3689854330135018e+08 1.3098134107207511e+08 1.2498333430471545e+08 1.1902588627874985e+08 1.1322735684912400e+08 1.0769435090845191e+08 1.0251329395177944e+08 9.7738482495496362e+07 9.3396216705734059e+07 8.9490256455723450e+07 8.6004418367321104e+07 8.2911285576653823e+07 8.0176373052656829e+07 7.7766124818354085e+07 7.5645288762325957e+07 7.3784667627847210e+07 7.2154786561326370e+07 7.0734151365161940e+07 6.9500143515397191e+07 6.8433562571878076e+07 6.7519529492894754e+07 6.6741823651779048e+07 6.6084764636313185e+07 6.5537013669285595e+07 6.5084133226869971e+07 6.4715952958568797e+07 6.4420553982097074e+07 6.4187864816258006e+07 6.4004030534520179e+07 6.3855457785965525e+07 6.3732261009304404e+07 6.3624913407848313e+07 6.3523835951670527e+07 6.3452379755605265e+07 6.3380251597235084e+07 6.3306665320250526e+07 6.3229594618596941e+07 6.3150089350589827e+07 6.3065844238233335e+07 6.2979789017998286e+07 6.2884106616805106e+07 6.2781706119694293e+07 6.2670703251242615e+07 6.2549626627851538e+07 6.2416688269210182e+07 6.2269873976469077e+07 6.2106271011449985e+07 6.1926328117261425e+07 6.1723080873767518e+07 6.1495205376995504e+07 6.1239395191915415e+07 6.0952092065282486e+07 6.0629626526589677e+07 6.0268317942396931e+07 5.9864077526514836e+07 5.9417569485996008e+07 5.8920818278073654e+07 5.8375599894093186e+07 5.7783175563689500e+07 5.7148192016869761e+07 5.6478555356198393e+07 5.5789313982525803e+07 5.5102844178352632e+07 5.4455929530167855e+07 5.3894530026563175e+07 5.3490933820313893e+07 5.3345730237564057e+07 5.3605168734413207e+07 5.4482011485442512e+07 5.6298677886262886e+07 5.9565554255241282e+07 6.5142847245520726e+07 1.2862626169607081e+07 +9.9372790930311528e+00 1.8909184781346029e+08 1.8907311223602191e+08 1.8904136896890995e+08 1.8899929336647716e+08 1.8895613401908797e+08 1.8892665787420452e+08 1.8891759041713652e+08 1.8891764533184606e+08 1.8891501082731736e+08 1.8890673894289315e+08 1.8889351448673841e+08 1.8887479673578757e+08 1.8884943595594096e+08 1.8881630211725968e+08 1.8877423144410449e+08 1.8872177895550707e+08 1.8865721964541709e+08 1.8857856375177824e+08 1.8848348542382601e+08 1.8836922920933253e+08 1.8823255804521650e+08 1.8806958418288779e+08 1.8787482370419401e+08 1.8763882621009514e+08 1.8735189751422808e+08 1.8700921076543552e+08 1.8660457467240226e+08 1.8612853709119046e+08 1.8556962533436656e+08 1.8491462418701386e+08 1.8414848716834438e+08 1.8325419151255274e+08 1.8221262287550163e+08 1.8100251812049717e+08 1.7960050743194413e+08 1.7798126255508327e+08 1.7611785550198671e+08 1.7398235427521616e+08 1.7154677270290029e+08 1.6878438858992127e+08 1.6542514451301026e+08 1.6163918324892867e+08 1.5741550044837797e+08 1.5275872148431331e+08 1.4769340349126765e+08 1.4226737757565352e+08 1.3655308160349151e+08 1.3064584504114509e+08 1.2465862701267433e+08 1.1871257505185771e+08 1.1292578375855316e+08 1.0740456370956179e+08 1.0223504800491035e+08 9.7471292485587537e+07 9.3139414752421141e+07 8.9243052299583718e+07 8.5765965249156460e+07 8.2680728454440072e+07 7.9952887216754094e+07 7.7548930044731349e+07 7.5433668668799400e+07 7.3577962826101080e+07 7.1952403675712973e+07 7.0535545183978081e+07 6.9304824365803093e+07 6.8241089002412558e+07 6.7329497320281535e+07 6.6553871475759163e+07 6.5898572694039285e+07 6.5352291831324369e+07 6.4900630555970676e+07 6.4533444836234078e+07 6.4238847565393306e+07 6.4006793399168313e+07 6.3823464173875615e+07 6.3675303002931356e+07 6.3552449891343825e+07 6.3445403247053944e+07 6.3344610242631420e+07 6.3273355488955691e+07 6.3201430779910021e+07 6.3128052113523960e+07 6.3051198871232882e+07 6.2971917937115349e+07 6.2887910619577065e+07 6.2802097958873965e+07 6.2706685535630763e+07 6.2604573970707580e+07 6.2493884304837160e+07 6.2373149305653930e+07 6.2240586037616014e+07 6.2094185984542146e+07 6.1931044711340316e+07 6.1751609272872403e+07 6.1548935488155529e+07 6.1321702935683794e+07 6.1066614509386376e+07 6.0780121995024107e+07 6.0458566275321886e+07 6.0098277101278812e+07 5.9695177304801084e+07 5.9249928813073538e+07 5.8754579153201260e+07 5.8210899062298350e+07 5.7620146211724661e+07 5.6986954221312799e+07 5.6319206887362644e+07 5.5631910153294012e+07 5.4947377244585142e+07 5.4302287593709834e+07 5.3742472039282888e+07 5.3340014556292444e+07 5.3195220741465323e+07 5.3453927277641065e+07 5.4328296087487377e+07 5.6139836931178935e+07 5.9397496236263104e+07 6.4959053156567402e+07 1.2818092200650955e+07 +9.9422474158054115e+00 1.8868878787183359e+08 1.8867009186549333e+08 1.8863841440668920e+08 1.8859642411700583e+08 1.8855334919010767e+08 1.8852392347154313e+08 1.8851485839682385e+08 1.8851489208169308e+08 1.8851223758700088e+08 1.8850395215087193e+08 1.8849071794943911e+08 1.8847199426160312e+08 1.8844663244179869e+08 1.8841350324401289e+08 1.8837144352043936e+08 1.8831900921729258e+08 1.8825447638779485e+08 1.8817585640071243e+08 1.8808082471276802e+08 1.8796662748544091e+08 1.8783002959946108e+08 1.8766714578954071e+08 1.8747249625401396e+08 1.8723663781959110e+08 1.8694988067967412e+08 1.8660739972838250e+08 1.8620301003460702e+08 1.8572726783813423e+08 1.8516871011171478e+08 1.8451413327325374e+08 1.8374850495576891e+08 1.8285481955624351e+08 1.8181398360987735e+08 1.8060475934379295e+08 1.7920380765354493e+08 1.7758583734198606e+08 1.7572396480752736e+08 1.7359031071163625e+08 1.7115695045243308e+08 1.6839723253006580e+08 1.6504143949339908e+08 1.6125964027873072e+08 1.5704093912545279e+08 1.5239006324063420e+08 1.4733165171013826e+08 1.4191358156381610e+08 1.3620828358053571e+08 1.3031101304208997e+08 1.2433458084709175e+08 1.1839991866971906e+08 1.1262485601740392e+08 1.0711540959684122e+08 1.0195742077910894e+08 9.7204705464059040e+07 9.2883199420274153e+07 8.8996418420656249e+07 8.5528066594096258e+07 8.2450710868838042e+07 7.9729927086766466e+07 7.7332248357446283e+07 7.5222550264458045e+07 7.3371749524185434e+07 7.1750503234820396e+07 7.0337413474768877e+07 6.9109972707578853e+07 6.8049076851698071e+07 6.7139921337187454e+07 6.6366371016821876e+07 6.5712828666865259e+07 6.5168014717942268e+07 6.4717569944595605e+07 6.4351376582088403e+07 6.4057579231685348e+07 6.3826158633979961e+07 6.3643333310588665e+07 6.3495582759966798e+07 6.3373072502754740e+07 6.3266326098596826e+07 6.3165816863121904e+07 6.3094763066727750e+07 6.3023041316450186e+07 6.2949869759917028e+07 6.2873233452323198e+07 6.2794176311024152e+07 6.2710406214118510e+07 6.2624835528929576e+07 6.2529692432364725e+07 6.2427869102489531e+07 6.2317491883593775e+07 6.2197097684504613e+07 6.2064908602152266e+07 6.1918921789448284e+07 6.1756241093818903e+07 6.1577311888081342e+07 6.1375210178717434e+07 6.1148619019643620e+07 6.0894250610907391e+07 6.0608566753458932e+07 6.0287918657906853e+07 5.9928646434923276e+07 5.9526684506037980e+07 5.9082692525815621e+07 5.8588741033045620e+07 5.8046595524472497e+07 5.7457510121689327e+07 5.6826105365966350e+07 5.6160242801205061e+07 5.5474886015770420e+07 5.4792285329944700e+07 5.4149016275039144e+07 5.3590780848886825e+07 5.3189459342214756e+07 5.3045074306450889e+07 5.3303050647511348e+07 5.4174951483949848e+07 5.5981379134509645e+07 5.9229843608777545e+07 6.4775702419348642e+07 1.2773702856793946e+07 +9.9472157385796702e+00 1.8828626975188109e+08 1.8826761187655136e+08 1.8823600028081861e+08 1.8819409532609710e+08 1.8815110481670085e+08 1.8812172947716922e+08 1.8811266683826005e+08 1.8811267938486111e+08 1.8811000500657332e+08 1.8810170613391352e+08 1.8808846231825462e+08 1.8806973284405759e+08 1.8804437015691850e+08 1.8801124579997733e+08 1.8796919725667346e+08 1.8791678140704143e+08 1.8785227536961004e+08 1.8777369165250087e+08 1.8767870703002405e+08 1.8756456928849033e+08 1.8742804526563978e+08 1.8726525219459373e+08 1.8707071440917987e+08 1.8683499599331617e+08 1.8654841156678191e+08 1.8620613779544067e+08 1.8580199612328470e+08 1.8532655120337981e+08 1.8476834970637703e+08 1.8411419972544459e+08 1.8334908305381772e+08 1.8245601129912499e+08 1.8141591192495832e+08 1.8020757257077044e+08 1.7880768488645205e+08 1.7719099476731801e+08 1.7533066301862320e+08 1.7319886295775720e+08 1.7076773151795560e+08 1.6801068781748047e+08 1.6465835488185489e+08 1.6088072697637293e+08 1.5666701657541141e+08 1.5202205226035726e+08 1.4697055451728079e+08 1.4156044569052553e+08 1.3586414886552104e+08 1.2997684461613652e+08 1.2401119526350024e+08 1.1808791651184973e+08 1.1232457294109285e+08 1.0682688783458675e+08 1.0168041150071076e+08 9.6938720631873637e+07 9.2627569895200744e+07 8.8750353997690007e+07 8.5290721580314830e+07 8.2221232001637921e+07 7.9507491850572020e+07 7.7116078951894209e+07 7.5011932753058791e+07 7.3166026933925077e+07 7.1549084458527341e+07 7.0139755464861646e+07 6.8915587774832547e+07 6.7857525359822586e+07 6.6950800789067507e+07 6.6179321525011435e+07 6.5527531808974870e+07 6.4984181586995520e+07 6.4534950653720699e+07 6.4169747459674589e+07 6.3876748246684983e+07 6.3645959788408339e+07 6.3463637213764563e+07 6.3316296327693000e+07 6.3194128115569055e+07 6.3087681235624388e+07 6.2987455087460816e+07 6.2916601763964735e+07 6.2845082482821085e+07 6.2772117536162943e+07 6.2695697639591902e+07 6.2616863750683181e+07 6.2533330301350065e+07 6.2448001008535795e+07 6.2353126588455386e+07 6.2251590797776856e+07 6.2141525271466449e+07 6.2021471049757376e+07 6.1889655249683812e+07 6.1744080679718405e+07 6.1581859449381292e+07 6.1403435255365469e+07 6.1201904240291856e+07 6.0975952926224098e+07 6.0722302796878912e+07 6.0437425644122787e+07 6.0117682981712252e+07 5.9759425254790321e+07 5.9358598446230300e+07 5.8915859945329778e+07 5.8423303244441919e+07 5.7882688613662921e+07 5.7295266633374438e+07 5.6665644797941312e+07 5.6001662452478513e+07 5.5318240932573557e+07 5.4637567804836094e+07 5.3996114951934554e+07 5.3439455839557081e+07 5.3039267566907674e+07 5.2895290323017113e+07 5.3152538231555626e+07 5.4021977052288860e+07 5.5823303853042908e+07 5.9062595692276418e+07 6.4592794289571866e+07 1.2729457713013362e+07 +9.9521840613539290e+00 1.8788429269212824e+08 1.8786567278807738e+08 1.8783412725335589e+08 1.8779230765202475e+08 1.8774940149649087e+08 1.8772007649717987e+08 1.8771101634709832e+08 1.8771100784610268e+08 1.8770831369089118e+08 1.8770000149629593e+08 1.8768674819709602e+08 1.8766801308611262e+08 1.8764264970413885e+08 1.8760953038691345e+08 1.8756749325377941e+08 1.8751509612402388e+08 1.8745061718897921e+08 1.8737207010395104e+08 1.8727713297040516e+08 1.8716305521094576e+08 1.8702660563331121e+08 1.8686390398457098e+08 1.8666947875216463e+08 1.8643390130939871e+08 1.8614749074817321e+08 1.8580542553241152e+08 1.8540153349655285e+08 1.8492638773570374e+08 1.8436854465611193e+08 1.8371482406902871e+08 1.8295022197266358e+08 1.8205776723367918e+08 1.8101840829322278e+08 1.7981095825012991e+08 1.7841213955205056e+08 1.7679673522127557e+08 1.7493795048882231e+08 1.7280801132529846e+08 1.7037911616433296e+08 1.6762475466356602e+08 1.6427589082500625e+08 1.6050244341627830e+08 1.5629373279265580e+08 1.5165468845187432e+08 1.4661011172989058e+08 1.4120796967876306e+08 1.3552067708696237e+08 1.2964333930041474e+08 1.2368846971391390e+08 1.1777656795471095e+08 1.1202493384227066e+08 1.0653899768484177e+08 1.0140401939443129e+08 9.6673337188190937e+07 9.2372525361409500e+07 8.8504858208412632e+07 8.5053929385028586e+07 8.1992291033572599e+07 7.9285580695322856e+07 7.6900421022912636e+07 7.4801815337593555e+07 7.2960794266758382e+07 7.1348146566207409e+07 6.9942570381007671e+07 6.8721668801137388e+07 6.7666433766574487e+07 6.6762134920975581e+07 6.5992722250210367e+07 6.5342681374368832e+07 6.4800791696043216e+07 6.4352771943805881e+07 6.3988556732127905e+07 6.3696353875971004e+07 6.3466196129681461e+07 6.3284375152487010e+07 6.3137442976589739e+07 6.3015616001381584e+07 6.2909467930880062e+07 6.2809524189577244e+07 6.2738870855450526e+07 6.2667553554549761e+07 6.2594794718714163e+07 6.2518590710271232e+07 6.2439979534366235e+07 6.2356682160456084e+07 6.2271593677969627e+07 6.2176987285124451e+07 6.2075738338951327e+07 6.1965983752210595e+07 6.1846268686447196e+07 6.1714825266850218e+07 6.1569661943599798e+07 6.1407899068179488e+07 6.1229978666929424e+07 6.1029016967439391e+07 6.0803703952508651e+07 6.0550770367359176e+07 6.0266697970391400e+07 5.9947858553747267e+07 5.9590612872048303e+07 5.9190918441191524e+07 5.8749430392491549e+07 5.8258265113970719e+07 5.7719177662645563e+07 5.7133415086391971e+07 5.6505571864007682e+07 5.5843465195610963e+07 5.5161974266081825e+07 5.4483224039507702e+07 5.3843583002025209e+07 5.3288496395321339e+07 5.2889438619013079e+07 5.2745868181457646e+07 5.3002389417098507e+07 5.3869372169838630e+07 5.5665610443259992e+07 5.8895751805961870e+07 6.4410328022622749e+07 1.2685356345322968e+07 +9.9571523841281877e+00 1.8748285692564663e+08 1.8746427678154579e+08 1.8743279610054994e+08 1.8739106176703000e+08 1.8734823981851766e+08 1.8731896513113108e+08 1.8730990752149087e+08 1.8730987806291899e+08 1.8730716423694959e+08 1.8729883883470252e+08 1.8728557618195346e+08 1.8726683558410928e+08 1.8724147167874521e+08 1.8720835759933454e+08 1.8716633210533187e+08 1.8711395396100864e+08 1.8704950243716925e+08 1.8697099234457564e+08 1.8687610312122464e+08 1.8676208583793291e+08 1.8662571128501245e+08 1.8646310173875734e+08 1.8626878985868713e+08 1.8603335433853480e+08 1.8574711878912264e+08 1.8540526349794525e+08 1.8500162270519626e+08 1.8452677797654605e+08 1.8396929549154383e+08 1.8331600682141599e+08 1.8255192221520910e+08 1.8166008784562847e+08 1.8062147317994872e+08 1.7941491682384768e+08 1.7801717206495237e+08 1.7640305908679485e+08 1.7454582756505230e+08 1.7241775611994523e+08 1.6999110464966175e+08 1.6723943327286160e+08 1.6389404746288550e+08 1.6012478966638139e+08 1.5592108776597634e+08 1.5128797171791691e+08 1.4625032315972382e+08 1.4085615324648574e+08 1.3517786786868939e+08 1.2931049662763050e+08 1.2336640364659351e+08 1.1746587237136556e+08 1.1172593803085016e+08 1.0625173840734129e+08 1.0112824368273051e+08 9.6408554330603421e+07 9.2118065001848057e+07 8.8259930229264021e+07 8.4817689184296727e+07 8.1763887144646749e+07 7.9064192807254374e+07 7.6685273764569297e+07 7.4592197220591441e+07 7.2756050733537406e+07 7.1147688776846960e+07 6.9745857449596316e+07 6.8528215019665733e+07 6.7475801311221510e+07 6.6573922977703527e+07 6.5806572441874363e+07 6.5158276616683938e+07 6.4617844302177154e+07 6.4171033075295687e+07 6.3807803662436195e+07 6.3516395384677701e+07 6.3286866925011598e+07 6.3105546395418920e+07 6.2959021976767987e+07 6.2837535431557000e+07 6.2731685457008302e+07 6.2632023443140924e+07 6.2561569615733951e+07 6.2490453806968518e+07 6.2417900583706178e+07 6.2341911941428132e+07 6.2263522940083094e+07 6.2180461070346668e+07 6.2095612817066200e+07 6.2001273803458408e+07 6.1900311008223258e+07 6.1790866609246053e+07 6.1671489879422203e+07 6.1540417939959228e+07 6.1395664869232588e+07 6.1234359240148231e+07 6.1056941414806075e+07 6.0856547654434673e+07 6.0631871395478420e+07 6.0379652622107953e+07 6.0096383035394646e+07 5.9778444680766791e+07 5.9422208597554445e+07 5.9023643806474306e+07 5.8583403187973030e+07 5.8093625967918701e+07 5.7556062003982045e+07 5.6971954820061818e+07 5.6345885910837494e+07 5.5685650384922504e+07 5.5006085378398463e+07 5.4329253403910831e+07 5.3691419802618071e+07 5.3137901899962559e+07 5.2739971886902004e+07 5.2596807271818578e+07 5.2852603591209032e+07 5.3717136213717103e+07 5.5508298261533596e+07 5.8729311268762521e+07 6.4228302873683259e+07 1.2641398330771593e+07 +9.9621207069024464e+00 1.8708196447294927e+08 1.8706342294778693e+08 1.8703200721150246e+08 1.8699035831589162e+08 1.8694762036638114e+08 1.8691839597124538e+08 1.8690934095191672e+08 1.8690929062521958e+08 1.8690655723460311e+08 1.8689821873866257e+08 1.8688494686241928e+08 1.8686620092620942e+08 1.8684083666854224e+08 1.8680772802415976e+08 1.8676571439732125e+08 1.8671335550286129e+08 1.8664893169774967e+08 1.8657045895616281e+08 1.8647561806291422e+08 1.8636166174733651e+08 1.8622536279593718e+08 1.8606284602891153e+08 1.8586864829676244e+08 1.8563335564431199e+08 1.8534729624750623e+08 1.8500565224338058e+08 1.8460226429247057e+08 1.8412772246009010e+08 1.8357060273610938e+08 1.8291774849364263e+08 1.8215418427725059e+08 1.8126297361357692e+08 1.8022510704348448e+08 1.7901944872642243e+08 1.7762278283270133e+08 1.7600996673998564e+08 1.7415429458701983e+08 1.7202809763998723e+08 1.6960369722528931e+08 1.6685472384365752e+08 1.6351282492947352e+08 1.5974776578862804e+08 1.5554908147819167e+08 1.5092190195588666e+08 1.4589118861346787e+08 1.4050499610678732e+08 1.3483572083030313e+08 1.2897831612683472e+08 1.2304499650633572e+08 1.1715582913195908e+08 1.1142758481398956e+08 1.0596510925937718e+08 1.0085308358618493e+08 9.6144371254995838e+07 9.1864187998011202e+07 8.8015569235599071e+07 8.4582000153348684e+07 8.1536019513847351e+07 7.8843327372076705e+07 7.6470636370470673e+07 7.4383077604023457e+07 7.2551795544666544e+07 7.0947710308785900e+07 6.9549615896684587e+07 6.8335225663336366e+07 6.7285627232799590e+07 6.6386164203701995e+07 6.5620871349319853e+07 6.4974316789273582e+07 6.4435338662456170e+07 6.3989733308161482e+07 6.3627487513305567e+07 6.3336872037749343e+07 6.3107971441222802e+07 6.2927150211040862e+07 6.2781032598094247e+07 6.2659885677418739e+07 6.2554333086354330e+07 6.2454952121690847e+07 6.2384697319002122e+07 6.2313782515255615e+07 6.2241434407126777e+07 6.2165660609945513e+07 6.2087493245523669e+07 6.2004666309765831e+07 6.1920057705617554e+07 6.1825985424239084e+07 6.1725308087580130e+07 6.1616173125828542e+07 6.1497133913312554e+07 6.1366432555204570e+07 6.1222088744276218e+07 6.1061239254904568e+07 6.0884322790591918e+07 6.0684495595288195e+07 6.0460454551772401e+07 6.0208948860742882e+07 5.9926480141975477e+07 5.9609440669397071e+07 5.9254211742092662e+07 5.8856773857355475e+07 5.8417777652211279e+07 5.7929385132402726e+07 5.7393340970053278e+07 5.6810885173463739e+07 5.6186586284724675e+07 5.5528217374378361e+07 5.4850573631462187e+07 5.4175655267813109e+07 5.3539624730951726e+07 5.2987671737116560e+07 5.2590866758825660e+07 5.2448106983985268e+07 5.2703180140853293e+07 5.3565268560767591e+07 5.5351366663950726e+07 5.8563273399464689e+07 6.4046718097745188e+07 1.2597583247441575e+07 +9.9670890296767052e+00 1.8668161401691616e+08 1.8666311228661475e+08 1.8663176140841985e+08 1.8659019788547635e+08 1.8654754371895856e+08 1.8651836960219824e+08 1.8650931722141382e+08 1.8650924611561733e+08 1.8650649326642612e+08 1.8649814179012686e+08 1.8648486081991151e+08 1.8646610969377860e+08 1.8644074525400320e+08 1.8640764224142742e+08 1.8636564070880675e+08 1.8631330132722953e+08 1.8624890554713243e+08 1.8617047051355910e+08 1.8607567836795890e+08 1.8596178350957504e+08 1.8582556073394927e+08 1.8566313741974217e+08 1.8546905462713119e+08 1.8523390578317356e+08 1.8494802367418006e+08 1.8460659231277475e+08 1.8420345879491562e+08 1.8372922171331879e+08 1.8317246690605575e+08 1.8252004958916330e+08 1.8175700864756879e+08 1.8086642500857541e+08 1.7982931033489829e+08 1.7862455438567957e+08 1.7722897225588116e+08 1.7561745854998058e+08 1.7376335188823348e+08 1.7163903617733368e+08 1.6921689413618809e+08 1.6647062656774342e+08 1.6313222335219830e+08 1.5937137183883643e+08 1.5517771390611890e+08 1.5055647905729845e+08 1.4553270789269120e+08 1.4015449796792090e+08 1.3449423558675453e+08 1.2864679732268463e+08 1.2272424773410839e+08 1.1684643760337155e+08 1.1112987349619558e+08 1.0567910949598080e+08 1.0057853832349353e+08 9.5880787155510128e+07 9.1610893530031636e+07 8.7771774401548520e+07 8.4346861466238722e+07 8.1308687319490120e+07 7.8622983574539572e+07 7.6256508033306062e+07 7.4174455689093992e+07 7.2348027909898773e+07 7.0748210380119130e+07 6.9353844947758585e+07 6.8142699964573160e+07 6.7095910770003989e+07 6.6198857843087412e+07 6.5435618221362695e+07 6.4790801145267859e+07 6.4253274033469163e+07 6.3808871902153000e+07 6.3447607547145277e+07 6.3157783099861212e+07 6.2929508944957502e+07 6.2749185867671788e+07 6.2603474110326633e+07 6.2482666009821936e+07 6.2377410091012493e+07 6.2278309498441853e+07 6.2208253239420839e+07 6.2137538954238534e+07 6.2065395464668363e+07 6.1989835992404580e+07 6.1911889728229277e+07 6.1829297157189928e+07 6.1744927622906417e+07 6.1651121427961275e+07 6.1550728858671792e+07 6.1441902584926248e+07 6.1323200072500005e+07 6.1192868398434922e+07 6.1048932856453836e+07 6.0888538401953727e+07 6.0712122085926503e+07 6.0512860083865769e+07 6.0289452717787139e+07 6.0038658382653087e+07 5.9756988592796206e+07 5.9440845825948015e+07 5.9086621616079517e+07 5.8690307908953339e+07 5.8252553105387717e+07 5.7765541933352932e+07 5.7231013892998233e+07 5.6650205485551335e+07 5.6027672331934661e+07 5.5371165517901540e+07 5.4695438386992224e+07 5.4022429000862710e+07 5.3388197163988657e+07 5.2837805290156841e+07 5.2442122622772612e+07 5.2299766707649127e+07 5.2554118452710882e+07 5.3413768587677829e+07 5.5194815006355435e+07 5.8397637516591273e+07 6.3865572949509621e+07 1.2553910674447339e+07 +9.9720573524509639e+00 1.8628180880991197e+08 1.8626334525564885e+08 1.8623205945211452e+08 1.8619058100086364e+08 1.8614801045075148e+08 1.8611888660153919e+08 1.8610983690544838e+08 1.8610974510958073e+08 1.8610697290748137e+08 1.8609860856403229e+08 1.8608531862891158e+08 1.8606656246056098e+08 1.8604119800831857e+08 1.8600810082341841e+08 1.8596611161099434e+08 1.8591379200445363e+08 1.8584942455411676e+08 1.8577102758429345e+08 1.8567628460194230e+08 1.8556245168804011e+08 1.8542630565941823e+08 1.8526397646875724e+08 1.8507000940332845e+08 1.8483500530390888e+08 1.8454930161247781e+08 1.8420808424285495e+08 1.8380520674136999e+08 1.8333127625611445e+08 1.8277488851008868e+08 1.8212291060418424e+08 1.8136039580753139e+08 1.8047044249502343e+08 1.7943408349827406e+08 1.7823023422245580e+08 1.7683574072819692e+08 1.7522553487914598e+08 1.7337299979464850e+08 1.7125057201705799e+08 1.6883069562061492e+08 1.6608714163031247e+08 1.6275224285250816e+08 1.5899560786706764e+08 1.5480698502110249e+08 1.5019170290853038e+08 1.4517488079331657e+08 1.3980465853340599e+08 1.3415341174860153e+08 1.2831593973615250e+08 1.2240415676767516e+08 1.1653769714931379e+08 1.1083280337920596e+08 1.0539373836988494e+08 1.0030460711129801e+08 9.5617801224860564e+07 9.1358180776560053e+07 8.7528544900053516e+07 8.4112272296226412e+07 8.1081889738914222e+07 7.8403160598819524e+07 7.6042887945336133e+07 7.3966330676787391e+07 7.2144747038671836e+07 7.0549188208404988e+07 6.9158543828017056e+07 6.7950637155490428e+07 6.6906651161119074e+07 6.6012003139711797e+07 6.5250812306623526e+07 6.4607728937359728e+07 6.4071649671671741e+07 6.3628448116867922e+07 6.3268163026149102e+07 6.2979127835535966e+07 6.2751478702538058e+07 6.2571652633209206e+07 6.2426345782837957e+07 6.2305875699518956e+07 6.2200915742858320e+07 6.2102094846380658e+07 6.2032236650739692e+07 6.1961722398552291e+07 6.1889783031864025e+07 6.1814437365128383e+07 6.1736711665433079e+07 6.1654352890863240e+07 6.1570221848324023e+07 6.1476681094993919e+07 6.1376572603055015e+07 6.1268054269344933e+07 6.1149687641125768e+07 6.1019724755375177e+07 6.0876196493060552e+07 6.0716255970524579e+07 6.0540338592049964e+07 6.0341640413795628e+07 6.0118865189823143e+07 5.9868780487001687e+07 5.9587907690296687e+07 5.9272659456575058e+07 5.8919437529835679e+07 5.8524245276248194e+07 5.8087728867502585e+07 5.7602095696359336e+07 5.7069080104630627e+07 5.6489915094979897e+07 5.5869143398356386e+07 5.5214494169073977e+07 5.4540679006509878e+07 5.3869573972343519e+07 5.3237136478512302e+07 5.2688301942257993e+07 5.2293738866568491e+07 5.2151785832277916e+07 5.2405417913327396e+07 5.3262635670910425e+07 5.5038642644518815e+07 5.8232402938351750e+07 6.3684866683406837e+07 1.2510380191933921e+07 +9.9770256752252227e+00 1.8588254761078623e+08 1.8586412158659527e+08 1.8583290189457488e+08 1.8579150816083682e+08 1.8574902113295916e+08 1.8571994753830272e+08 1.8571090057206568e+08 1.8571078817511982e+08 1.8570799672568429e+08 1.8569961962781277e+08 1.8568632085654640e+08 1.8566755979331803e+08 1.8564219549771899e+08 1.8560910433522242e+08 1.8556712766836452e+08 1.8551482809784389e+08 1.8545048928074721e+08 1.8537213072828197e+08 1.8527743732325831e+08 1.8516366683870041e+08 1.8502759812572685e+08 1.8486536372589648e+08 1.8467151317172614e+08 1.8443665474827245e+08 1.8415113059859774e+08 1.8381012856333739e+08 1.8340750865343696e+08 1.8293388660106558e+08 1.8237786805031276e+08 1.8172633202782747e+08 1.8096434623171645e+08 1.8007502653008226e+08 1.7903942697087902e+08 1.7783648865034348e+08 1.7644308863602024e+08 1.7483419608293888e+08 1.7298323862586471e+08 1.7086270543768483e+08 1.6844510191005024e+08 1.6570426921037191e+08 1.6237288354527119e+08 1.5862047391690010e+08 1.5443689478850660e+08 1.4982757339015907e+08 1.4481770710664776e+08 1.3945547750182754e+08 1.3381324892197475e+08 1.2798574288416509e+08 1.2208472304098640e+08 1.1622960713063261e+08 1.1053637376210710e+08 1.0510899513160038e+08 1.0003128916432473e+08 9.5355412653986573e+07 9.1106048915126979e+07 8.7285879902996093e+07 8.3878231815388605e+07 8.0855625948703408e+07 7.8183857628339708e+07 7.5829775298161805e+07 7.3758701767285138e+07 7.1941952139815614e+07 7.0350643010712132e+07 6.8963711762323126e+07 6.7759036467829540e+07 6.6717847644157171e+07 6.5825599337025538e+07 6.5066452853501260e+07 6.4425099418216124e+07 6.3890464833259791e+07 6.3448461211556934e+07 6.3089153212347560e+07 6.2800905509033427e+07 6.2573879980173104e+07 6.2394549775549360e+07 6.2249646884899177e+07 6.2129514017006405e+07 6.2024849313576423e+07 6.1926307438372046e+07 6.1856646826642066e+07 6.1786332122686543e+07 6.1714596383949399e+07 6.1639464004337855e+07 6.1561958334306151e+07 6.1479832788810790e+07 6.1395939660820469e+07 6.1302663705436319e+07 6.1202838601973154e+07 6.1094627461542927e+07 6.0976595903121926e+07 6.0847000911433101e+07 6.0703878941275142e+07 6.0544391249640435e+07 6.0368971599957272e+07 6.0170835878483534e+07 5.9948691263788439e+07 5.9699314472670309e+07 5.9419236736718521e+07 5.9104880867123142e+07 5.8752658793377660e+07 5.8358585273812190e+07 5.7923304258332081e+07 5.7439045747035705e+07 5.6907538936789900e+07 5.6330013340310536e+07 5.5710998829813778e+07 5.5058202681331404e+07 5.4386294851349823e+07 5.3717089551585190e+07 5.3086442051057756e+07 5.2539161076504916e+07 5.2145714877870835e+07 5.2004163747215703e+07 5.2257077909037717e+07 5.3111869186769284e+07 5.4882848933922872e+07 5.8067568982995525e+07 6.3504598553720593e+07 1.2466991381075453e+07 +9.9819939979994814e+00 1.8548383013948542e+08 1.8546544356935391e+08 1.8543428893923247e+08 1.8539297988792476e+08 1.8535057633186674e+08 1.8532155297362387e+08 1.8531250878178093e+08 1.8531237587305006e+08 1.8530956528161931e+08 1.8530117554178891e+08 1.8528786806285772e+08 1.8526910225140238e+08 1.8524373828056872e+08 1.8521065333492863e+08 1.8516868943783978e+08 1.8511641016312170e+08 1.8505210028146026e+08 1.8497378049874923e+08 1.8487913708293477e+08 1.8476542951028210e+08 1.8462943867896494e+08 1.8446729973404756e+08 1.8427356647149652e+08 1.8403885465094686e+08 1.8375351116178182e+08 1.8341272579646453e+08 1.8301036504606238e+08 1.8253705325365391e+08 1.8198140602144480e+08 1.8133031434246150e+08 1.8056886038742208e+08 1.7968017756395382e+08 1.7864534118254411e+08 1.7744331807617071e+08 1.7605101635949653e+08 1.7444344251004854e+08 1.7259406869494173e+08 1.7047543671105278e+08 1.6806011322991869e+08 1.6532200948026508e+08 1.6199414553948185e+08 1.5824597002609596e+08 1.5406744316796362e+08 1.4946409037734172e+08 1.4446118661854953e+08 1.3910695456711853e+08 1.3347374670883670e+08 1.2765620627957742e+08 1.2176594598460594e+08 1.1592216690466179e+08 1.1024058394126980e+08 1.0482487902929014e+08 9.9758583695389822e+07 9.5093620632226840e+07 9.0854497121635512e+07 8.7043778581037372e+07 8.3644739195112169e+07 8.0629895124663979e+07 7.7965073845902160e+07 7.5617169282752022e+07 7.3551568160278872e+07 7.1739642421826020e+07 7.0152574003881380e+07 6.8769347974969789e+07 6.7567897133048445e+07 6.6529499456873819e+07 6.5639645678339146e+07 6.4882539110057846e+07 6.4242911840085343e+07 6.3709718774091728e+07 6.3268910445306584e+07 6.2910577367346346e+07 6.2623115384316020e+07 6.2396712043809555e+07 6.2217876562210441e+07 6.2073376685560800e+07 6.1953580232561976e+07 6.1849210074608847e+07 6.1750946546966501e+07 6.1681483040446743e+07 6.1611367400802553e+07 6.1539834795993663e+07 6.1464915185978331e+07 6.1387629011622742e+07 6.1305736128876589e+07 6.1222080339191474e+07 6.1129068539214589e+07 6.1029526136578642e+07 6.0921621443981603e+07 6.0803924142285503e+07 6.0674696151922457e+07 6.0531979488015652e+07 6.0372943528072953e+07 6.0198020400645152e+07 6.0000445771072648e+07 5.9778930235616371e+07 5.9530259638483681e+07 5.9250975034042723e+07 5.8937509363439828e+07 5.8586284716569036e+07 5.8193327216234200e+07 5.7759278597515382e+07 5.7276391410578892e+07 5.6746389720949017e+07 5.6170499559820741e+07 5.5553237971886694e+07 5.4902290407996245e+07 5.4232285282680385e+07 5.3564975107457615e+07 5.2936113258125521e+07 5.2390382075697049e+07 5.1998050044129670e+07 5.1856899841524042e+07 5.2109097825948745e+07 5.2961468511444569e+07 5.4727433229823463e+07 5.7903134968355276e+07 6.3324767814466588e+07 1.2423743824073715e+07 +9.9869623207737401e+00 1.8508565829956657e+08 1.8506731048888615e+08 1.8503622117844698e+08 1.8499499673677188e+08 1.8495267660799760e+08 1.8492370346051529e+08 1.8491466208792028e+08 1.8491450875717676e+08 1.8491167912902144e+08 1.8490327685908538e+08 1.8488996080043149e+08 1.8487119038690451e+08 1.8484582690868017e+08 1.8481274837336424e+08 1.8477079746930522e+08 1.8471853874910223e+08 1.8465425810347480e+08 1.8457597744102409e+08 1.8448138442456621e+08 1.8436774024427003e+08 1.8423182785795921e+08 1.8406978502888533e+08 1.8387616983449346e+08 1.8364160553922394e+08 1.8335644382381132e+08 1.8301587645787424e+08 1.8261377642664626e+08 1.8214077671195948e+08 1.8158550291088182e+08 1.8093485802293527e+08 1.8017393873483196e+08 1.7928589603973991e+08 1.7825182655654749e+08 1.7705072289977059e+08 1.7565952427127132e+08 1.7405327450220239e+08 1.7220549030777997e+08 1.7008876610231021e+08 1.6767572979883385e+08 1.6494036260618487e+08 1.6161602893774968e+08 1.5787209622658014e+08 1.5369863011335507e+08 1.4910125373990542e+08 1.4410531910971057e+08 1.3875908941821903e+08 1.3313490470650825e+08 1.2732732943144210e+08 1.2144782502558698e+08 1.1561537582631156e+08 1.0994543321065825e+08 1.0454138930894214e+08 9.9486489915576443e+07 9.4832424347416729e+07 9.0603524570961252e+07 8.6802240103868142e+07 8.3411793605608687e+07 8.0404696441755861e+07 7.7746808433485225e+07 7.5405069089585081e+07 7.3344929055120140e+07 7.1537817092598587e+07 6.9954980404121011e+07 6.8575451690099001e+07 6.7377218382196277e+07 6.6341605836638376e+07 6.5454141406591378e+07 6.4699070324077867e+07 6.4061165455038600e+07 6.3529410749931589e+07 6.3089795077020779e+07 6.2732434752828993e+07 6.2445756725232460e+07 6.2219974159157917e+07 6.2041632260621309e+07 6.1897534453597553e+07 6.1778073616312511e+07 6.1673997297256552e+07 6.1576011444557555e+07 6.1506744565439396e+07 6.1436827506996363e+07 6.1365497542925201e+07 6.1290790185746305e+07 6.1213722974101029e+07 6.1132062188731752e+07 6.1048643162089370e+07 6.0955894876006521e+07 6.0856634487675063e+07 6.0749035498763017e+07 6.0631671642085761e+07 6.0502809761856526e+07 6.0360497420002781e+07 6.0201912094551697e+07 6.0027484284725130e+07 5.9830469384662084e+07 5.9609581400816329e+07 5.9361615282918841e+07 5.9083121884198651e+07 5.8770544250929348e+07 5.8420314609097145e+07 5.8028470417771094e+07 5.7595651204485871e+07 5.7114132012120955e+07 5.6585631788515843e+07 5.6011373091702737e+07 5.5395860169955410e+07 5.4746756702054657e+07 5.4078649661456421e+07 5.3413230008903854e+07 5.2786149475930721e+07 5.2241964322530508e+07 5.1850743752692312e+07 5.1709993504254155e+07 5.1961477050138108e+07 5.2811433020804748e+07 5.4572394887445726e+07 5.7739100212161548e+07 6.3145373719508015e+07 1.2380637104156652e+07 +9.9919306435479989e+00 1.8468803390449923e+08 1.8466972331945804e+08 1.8463869931333190e+08 1.8459755926299518e+08 1.8455532251444080e+08 1.8452639954422787e+08 1.8451736103633890e+08 1.8451718737398022e+08 1.8451433881372729e+08 1.8450592412548628e+08 1.8449259961482289e+08 1.8447382474486792e+08 1.8444846192623231e+08 1.8441538999396345e+08 1.8437345230523825e+08 1.8432121439703190e+08 1.8425696328710735e+08 1.8417872209406647e+08 1.8408417988505131e+08 1.8397059957504889e+08 1.8383476619455975e+08 1.8367282013891938e+08 1.8347932378553113e+08 1.8324490793348724e+08 1.8295992909932989e+08 1.8261958105550247e+08 1.8221774329549640e+08 1.8174505746762946e+08 1.8119015919924197e+08 1.8053996353706771e+08 1.7977958172734031e+08 1.7889218239337033e+08 1.7785888350911039e+08 1.7665870351417372e+08 1.7526861273768041e+08 1.7366369239465895e+08 1.7181750376376590e+08 1.6970269387009814e+08 1.6729195182903120e+08 1.6455932874806398e+08 1.6123853383654583e+08 1.5749885254419836e+08 1.5333045557290342e+08 1.4873906334210372e+08 1.4375010435589924e+08 1.3841188173958746e+08 1.3279672250820136e+08 1.2699911184485519e+08 1.2113035958739442e+08 1.1530923324687453e+08 1.0965092086151001e+08 1.0425852521435322e+08 9.9215007033934057e+07 9.4571822985897824e+07 9.0353130436474979e+07 8.6561263639925629e+07 8.3179394216341287e+07 8.0180029074171066e+07 7.7529060572504193e+07 7.5193473908419430e+07 7.3138783650446817e+07 7.1336475359719813e+07 6.9757861427441254e+07 6.8382022131426916e+07 6.7186999446066082e+07 6.6154166020524018e+07 6.5269085764439166e+07 6.4516045743196025e+07 6.3879859514899015e+07 6.3349540016206734e+07 6.2911114365269989e+07 6.2554724630072370e+07 6.2268828795454614e+07 6.2043665591799989e+07 6.1865816137930498e+07 6.1722119457617007e+07 6.1602993438181862e+07 6.1499210252521299e+07 6.1401501403331637e+07 6.1332430674586490e+07 6.1262711715071961e+07 6.1191583899388917e+07 6.1117088279312372e+07 6.1040239498199768e+07 6.0958810245781414e+07 6.0875627407904275e+07 6.0783141995357566e+07 6.0684162936018385e+07 6.0576868907895930e+07 6.0459837685938776e+07 6.0331341026177987e+07 6.0189432023869336e+07 6.0031296237451315e+07 5.9857362542723596e+07 5.9660906012022525e+07 5.9440644054904774e+07 5.9193380704373509e+07 5.8915676588851437e+07 5.8603984835061654e+07 5.8254747780496500e+07 5.7864014192572184e+07 5.7432421398439527e+07 5.6952266876582772e+07 5.6425264470614217e+07 5.5852633273848303e+07 5.5238864769352175e+07 5.4591600916511886e+07 5.3925387348499671e+07 5.3261853624552004e+07 5.2636550080558471e+07 5.2093907199503437e+07 5.1703795390622795e+07 5.1563444124200679e+07 5.1814214967392072e+07 5.2661762090685375e+07 5.4417733261733159e+07 5.7575464032009698e+07 6.2966415522419602e+07 1.2337670805576818e+07 +9.9968989663222576e+00 1.8429095482221019e+08 1.8427268236117554e+08 1.8424172368407562e+08 1.8420066800628206e+08 1.8415851459410447e+08 1.8412964176190102e+08 1.8412060616595745e+08 1.8412041226269838e+08 1.8411754487509438e+08 1.8410911787972233e+08 1.8409578504434857e+08 1.8407700586313990e+08 1.8405164387043631e+08 1.8401857873309088e+08 1.8397665448117217e+08 1.8392443764157355e+08 1.8386021636514863e+08 1.8378201498910648e+08 1.8368752399377924e+08 1.8357400802988830e+08 1.8343825421307743e+08 1.8327640558584693e+08 1.8308302884221268e+08 1.8284876234662482e+08 1.8256396749609873e+08 1.8222384009054208e+08 1.8182226614590955e+08 1.8134989600462627e+08 1.8079537536016238e+08 1.8014563134623396e+08 1.7938578981131858e+08 1.7849903705428618e+08 1.7746651244931519e+08 1.7626726030553564e+08 1.7487828211806419e+08 1.7327469651550776e+08 1.7143010935588378e+08 1.6931722026653567e+08 1.6690877952620959e+08 1.6417890805940634e+08 1.6086166032620129e+08 1.5712623899897969e+08 1.5296291948930338e+08 1.4837751904299235e+08 1.4339554212772661e+08 1.3806533121108627e+08 1.3245919970274675e+08 1.2667155302100508e+08 1.2081354909042685e+08 1.1500373851506972e+08 1.0935704618237582e+08 1.0397628598702316e+08 9.8944134257736295e+07 9.4311815732201755e+07 9.0103313890242904e+07 8.6320848356646836e+07 8.2947540195798531e+07 7.9955892195278928e+07 7.7311829443711102e+07 7.4982382928504407e+07 7.2933131144494057e+07 7.1135616430171698e+07 6.9561216289327398e+07 6.8189058522272512e+07 6.6997239555128783e+07 6.5967179245397858e+07 6.5084477994314536e+07 6.4333464614665523e+07 6.3698993271202959e+07 6.3170105828226499e+07 6.2732867568495132e+07 6.2377446260210425e+07 6.2092330858358771e+07 6.1867785607106172e+07 6.1690427461171404e+07 6.1547130966180816e+07 6.1428338967847601e+07 6.1324848211383626e+07 6.1227415695372492e+07 6.1158540640755825e+07 6.1089019298722237e+07 6.1018093139883786e+07 6.0943808742012128e+07 6.0867177860207558e+07 6.0785979577292077e+07 6.0703032354947150e+07 6.0610809176634759e+07 6.0512110762078062e+07 6.0405120953124963e+07 6.0288421556993887e+07 6.0160289229590535e+07 6.0018782585971318e+07 5.9861095245011672e+07 5.9687654464961790e+07 5.9491754945819229e+07 5.9272117493101783e+07 5.9025555201054506e+07 5.8748638449351475e+07 5.8437830420995235e+07 5.8089583540031351e+07 5.7699957854607582e+07 5.7269588498467103e+07 5.6790795328760765e+07 5.6265287098293170e+07 5.5694279444103688e+07 5.5082251115055725e+07 5.4436822404100500e+07 5.3772497704483062e+07 5.3110845322979890e+07 5.2487314447920486e+07 5.1946210089012519e+07 5.1557204345002823e+07 5.1417251089989334e+07 5.1667310963430613e+07 5.2512455096708171e+07 5.4263447707487054e+07 5.7412225745236538e+07 6.2787892476754747e+07 1.2294844513609966e+07 +1.0001867289096516e+01 1.8389442183791974e+08 1.8387618933733526e+08 1.8384529489610952e+08 1.8380432350705621e+08 1.8376225337794369e+08 1.8373343064418218e+08 1.8372439800815889e+08 1.8372418395569032e+08 1.8372129784489036e+08 1.8371285865343723e+08 1.8369951762025344e+08 1.8368073427236781e+08 1.8365537327134603e+08 1.8362231512011349e+08 1.8358040452545980e+08 1.8352820900973356e+08 1.8346401786376810e+08 1.8338585665037465e+08 1.8329141727306610e+08 1.8317796612905735e+08 1.8304229243110731e+08 1.8288054188366482e+08 1.8268728551501802e+08 1.8245316928492290e+08 1.8216855951458618e+08 1.8182865405682817e+08 1.8142734546435177e+08 1.8095529280020303e+08 1.8040115185993671e+08 1.7975186190393853e+08 1.7899256342596197e+08 1.7810646044464961e+08 1.7707471377964720e+08 1.7587639365308863e+08 1.7448853276462477e+08 1.7288628718681201e+08 1.7104330737007830e+08 1.6893234553711683e+08 1.6652621308997828e+08 1.6379910068737444e+08 1.6048540849122900e+08 1.5675425560497338e+08 1.5259602179931864e+08 1.4801662069629401e+08 1.4304163219093695e+08 1.3771943750762761e+08 1.3212233587460333e+08 1.2634465245741077e+08 1.2049739295125723e+08 1.1469889097638059e+08 1.0906380845935155e+08 1.0369467086643933e+08 9.8673870792426005e+07 9.4052401769660637e+07 8.9854074103277460e+07 8.6080993420485124e+07 8.2716230711510539e+07 7.9732284977837235e+07 7.7095114227211118e+07 7.4771795338508844e+07 7.2727970734936684e+07 7.0935239510711446e+07 6.9365044204985857e+07 6.7996560085605800e+07 6.6807937939552695e+07 6.5780644747767456e+07 6.4900317338408679e+07 6.4151326185653880e+07 6.3518565975423269e+07 6.2991107441021688e+07 6.2555053944945186e+07 6.2200598904225014e+07 6.1916262177229829e+07 6.1692333470242828e+07 6.1515465497150287e+07 6.1372568247447766e+07 6.1254109474935554e+07 6.1150910444494277e+07 6.1053753592502095e+07 6.0985073736643337e+07 6.0915749531416275e+07 6.0845024538795501e+07 6.0770950849081069e+07 6.0694537336291648e+07 6.0613569460414968e+07 6.0530857281221092e+07 6.0438895698971726e+07 6.0340477246256962e+07 6.0233790916151166e+07 6.0117422538267255e+07 5.9989653656600207e+07 5.9848548392531879e+07 5.9691308405432150e+07 5.9518359341578379e+07 5.9323015478543393e+07 5.9104001010540657e+07 5.8858138071009003e+07 5.8582006767145149e+07 5.8272080313727960e+07 5.7924821196902886e+07 5.7536300717669033e+07 5.7107151823470227e+07 5.6629716693245143e+07 5.6105699002384044e+07 5.5536310940144889e+07 5.4926018552094363e+07 5.4282420517394319e+07 5.3619980089885347e+07 5.2960204472502634e+07 5.2338441953823589e+07 5.1798872373249054e+07 5.1410970002631642e+07 5.1271413790156208e+07 5.1520764423767291e+07 5.2363511414351121e+07 5.4109537579421684e+07 5.7249384669043168e+07 6.2609803835716955e+07 1.2252157814553488e+07 +1.0006835611870775e+01 1.8349843835760412e+08 1.8348024325342026e+08 1.8344941332507819e+08 1.8340852632107604e+08 1.8336653938531306e+08 1.8333776671431622e+08 1.8332873708765841e+08 1.8332850297785732e+08 1.8332559824791864e+08 1.8331714697112435e+08 1.8330379786656144e+08 1.8328501049597433e+08 1.8325965065181723e+08 1.8322659967704174e+08 1.8318470295935872e+08 1.8313252902157867e+08 1.8306836830147791e+08 1.8299024759515390e+08 1.8289586023823735e+08 1.8278247438541690e+08 1.8264688135916778e+08 1.8248522953953680e+08 1.8229209430758101e+08 1.8205812924720678e+08 1.8177370564859590e+08 1.8143402344142273e+08 1.8103298172987452e+08 1.8056124832452193e+08 1.8000748915804529e+08 1.7935865565749419e+08 1.7859990300367671e+08 1.7771445297980407e+08 1.7668348789560896e+08 1.7548610392926383e+08 1.7409936502348673e+08 1.7249846472317430e+08 1.7065709808604774e+08 1.6854806992097518e+08 1.6614425271307498e+08 1.6341990677299085e+08 1.6010977840965620e+08 1.5638290237024820e+08 1.5222976243437767e+08 1.4765636815019336e+08 1.4268837430612102e+08 1.3737420029970622e+08 1.3178613060431391e+08 1.2601840964749083e+08 1.2018189058327128e+08 1.1439468997345570e+08 1.0877120697595169e+08 1.0341367908976559e+08 9.8404215841628835e+07 9.3793580279895648e+07 8.9605410245108038e+07 8.5841697996737719e+07 8.2485464930348232e+07 7.9509206593699262e+07 7.6878914102369115e+07 7.4561710326664031e+07 7.2523301619195908e+07 7.0735343807599947e+07 6.9169344389137357e+07 6.7804526044180945e+07 6.6619093829124175e+07 6.5594561763946161e+07 6.4716603038614005e+07 6.3969629702977605e+07 6.3338576878708020e+07 6.2812544109449401e+07 6.2377672752697952e+07 6.2024181822809368e+07 6.1740622015128866e+07 6.1517308446266480e+07 6.1340929512568161e+07 6.1198430569608450e+07 6.1080304228748523e+07 6.0977396222460620e+07 6.0880514366436027e+07 6.0812029234688580e+07 6.0742901686497018e+07 6.0672377370261043e+07 6.0598513875558898e+07 6.0522317202452980e+07 6.0441579172062941e+07 6.0359101464746810e+07 6.0267400841426358e+07 6.0169261668714546e+07 6.0062878078366660e+07 5.9946839912625633e+07 5.9819433591591254e+07 5.9678728729615197e+07 5.9521935006598070e+07 5.9349476462603375e+07 5.9154686902507052e+07 5.8936293902145214e+07 5.8691128612046428e+07 5.8415780843422048e+07 5.8106733818124205e+07 5.7760460060123622e+07 5.7373042095384732e+07 5.6945110692234047e+07 5.6469030294471502e+07 5.5946499513628699e+07 5.5378727099443972e+07 5.4770166425162487e+07 5.4128394608850598e+07 5.3467833865097530e+07 5.2809930441420585e+07 5.2189931973910995e+07 5.1651893434319936e+07 5.1265091750222109e+07 5.1125931613102913e+07 5.1374574733851835e+07 5.2214930419032298e+07 5.3956002232016146e+07 5.7086940120581463e+07 6.2432148852488130e+07 1.2209610295724956e+07 +1.0011803934645034e+01 1.8310300133466515e+08 1.8308484521710151e+08 1.8305407980108908e+08 1.8301327701097566e+08 1.8297137312452534e+08 1.8294265048928323e+08 1.8293362392200518e+08 1.8293336984774214e+08 1.8293044660213056e+08 1.8292198335001123e+08 1.8290862630032369e+08 1.8288983505057934e+08 1.8286447652777031e+08 1.8283143291906446e+08 1.8278955029707873e+08 1.8273739819024742e+08 1.8267326819006637e+08 1.8259518833340746e+08 1.8250085339760560e+08 1.8238753330497736e+08 1.8225202150027841e+08 1.8209046905388781e+08 1.8189745571621081e+08 1.8166364272562325e+08 1.8137940638411021e+08 1.8103994872426340e+08 1.8063917541477269e+08 1.8016776304055405e+08 1.7961438770713514e+08 1.7896601304690626e+08 1.7820780897014168e+08 1.7732301506834489e+08 1.7629283518587193e+08 1.7509639149974185e+08 1.7371077923349458e+08 1.7211122943302929e+08 1.7027148177674159e+08 1.6816439365065339e+08 1.6576289858232179e+08 1.6304132645114538e+08 1.5973477015381190e+08 1.5601217929747039e+08 1.5186414132005000e+08 1.4729676124764088e+08 1.4233576822886682e+08 1.3702961925306797e+08 1.3145058346792156e+08 1.2569282408115116e+08 1.1986704139659163e+08 1.1409113484604515e+08 1.0847924101340674e+08 1.0313330989217551e+08 9.8135168607206687e+07 9.3535350443065733e+07 8.9357321484087154e+07 8.5602961249658778e+07 8.2255242018006399e+07 7.9286656214117661e+07 7.6663228248117045e+07 7.4352127080546707e+07 7.2319122993985757e+07 7.0535928526608855e+07 6.8974116056343913e+07 6.7612955620375693e+07 6.6430706453470580e+07 6.5408929530000396e+07 6.4533334336739041e+07 6.3788374413334794e+07 6.3159025232040651e+07 6.2634415088243872e+07 6.2200723249599837e+07 6.1848194276646674e+07 6.1565409635030635e+07 6.1342709799990602e+07 6.1166818773910061e+07 6.1024717200587139e+07 6.0906922498596586e+07 6.0804304815639764e+07 6.0707697288684882e+07 6.0639406407258816e+07 6.0570475037162982e+07 6.0500150908301905e+07 6.0426497096346602e+07 6.0350516734424539e+07 6.0270007989025109e+07 6.0187764183190219e+07 6.0096323882843509e+07 5.9998463309520625e+07 5.9892381721120380e+07 5.9776672962799616e+07 5.9649628318809025e+07 5.9509322883126505e+07 5.9352974336305566e+07 5.9181005117837965e+07 5.8986768509905726e+07 5.8768995462712720e+07 5.8524526121976763e+07 5.8249959979134485e+07 5.7941790238930136e+07 5.7596499438536666e+07 5.7210181301278494e+07 5.6783464423348114e+07 5.6308735456832483e+07 5.5787687962555021e+07 5.5221527259327404e+07 5.4614694078945957e+07 5.3974744030846409e+07 5.3316058390319213e+07 5.2660022597813711e+07 5.2041783883754954e+07 5.1505272654187851e+07 5.1119568974364243e+07 5.0980803947036825e+07 5.1228741278918177e+07 5.2066711485929579e+07 5.3802841019668505e+07 5.6924891416743331e+07 6.2254926779960960e+07 1.2167201545460567e+07 +1.0016772257419293e+01 1.8270811336822999e+08 1.8268999546479157e+08 1.8265929487254968e+08 1.8261857611402032e+08 1.8257675509730801e+08 1.8254808248001707e+08 1.8253905902160934e+08 1.8253878507600045e+08 1.8253584341795757e+08 1.8252736830066121e+08 1.8251400343153697e+08 1.8249520844574237e+08 1.8246985140804806e+08 1.8243681535409448e+08 1.8239494704549283e+08 1.8234281702159500e+08 1.8227871803412494e+08 1.8220067936825371e+08 1.8210639725233343e+08 1.8199314338678482e+08 1.8185771335096377e+08 1.8169626091967881e+08 1.8150337023038384e+08 1.8126971020468697e+08 1.8098566220109683e+08 1.8064643037841880e+08 1.8024592698428804e+08 1.7977483740478718e+08 1.7922184795284262e+08 1.7857393450528666e+08 1.7781628174374112e+08 1.7693214711183572e+08 1.7590275603250176e+08 1.7470725672354588e+08 1.7332277572709513e+08 1.7172458161801073e+08 1.6988645870866534e+08 1.6778131695228276e+08 1.6538215087812898e+08 1.6266335985044426e+08 1.5936038378996870e+08 1.5564208638322157e+08 1.5149915837677926e+08 1.4693779982648328e+08 1.4198381370996672e+08 1.3668569402884465e+08 1.3111569403733304e+08 1.2536789524434681e+08 1.1955284479773188e+08 1.1378822493080665e+08 1.0818790985000810e+08 1.0285356250663587e+08 9.7866728289219514e+07 9.3277711437880874e+07 8.9109806987445980e+07 8.5364782342611909e+07 8.2025561139602736e+07 7.9064633009544089e+07 7.6448055842655182e+07 7.4143044787376717e+07 7.2115434055714473e+07 7.0336992873235330e+07 6.8779358420638070e+07 6.7421848036269099e+07 6.6242775041964911e+07 6.5223747281652302e+07 6.4350510474240415e+07 6.3607559563218489e+07 6.2979910286163814e+07 6.2456719631872699e+07 6.2024204693448320e+07 6.1672635526168048e+07 6.1390624299621277e+07 6.1168536796166472e+07 6.0993132547583126e+07 6.0851427408206038e+07 6.0733963553543918e+07 6.0631635494365290e+07 6.0535301630645990e+07 6.0467204526623920e+07 6.0398468856436729e+07 6.0328344426822297e+07 6.0254899786250696e+07 6.0179135207959741e+07 6.0098855187968396e+07 6.0016844714225650e+07 5.9925664101964258e+07 5.9828081448553406e+07 5.9722301125582151e+07 5.9606920971324921e+07 5.9480237122336417e+07 5.9340330138852686e+07 5.9184425682213113e+07 5.9012944597040296e+07 5.8819259592792965e+07 5.8602104986911111e+07 5.8358329898337871e+07 5.8084543475199781e+07 5.7777248880695239e+07 5.7432938640897304e+07 5.7047717648747653e+07 5.6622212335314073e+07 5.6148831504409529e+07 5.5629263679651581e+07 5.5064710757114552e+07 5.4459600857991152e+07 5.3821468135541767e+07 5.3164653025674656e+07 5.2510480309645586e+07 5.1893997058655500e+07 5.1359009414634161e+07 5.0974401061522059e+07 5.0836030180118285e+07 5.1083263444151364e+07 5.1918853990112387e+07 5.3650053296685144e+07 5.6763237874294989e+07 6.2078136871007927e+07 1.2124931153113674e+07 +1.0021740580193551e+01 1.8231377478338495e+08 1.8229569495296863e+08 1.8226505883362648e+08 1.8222442411984351e+08 1.8218268580186000e+08 1.8215406319115278e+08 1.8214504289062485e+08 1.8214474916693935e+08 1.8214178919902566e+08 1.8213330232631645e+08 1.8211992976301107e+08 1.8210113118367016e+08 1.8207577579434711e+08 1.8204274748330504e+08 1.8200089370483154e+08 1.8194878601473531e+08 1.8188471833133426e+08 1.8180672119582227e+08 1.8171249229644087e+08 1.8159930512267751e+08 1.8146395740050423e+08 1.8130260562311262e+08 1.8110983833249134e+08 1.8087633216264826e+08 1.8059247357165265e+08 1.8025346886964244e+08 1.7985323689676222e+08 1.7938247186634496e+08 1.7882987033370385e+08 1.7818242045893312e+08 1.7742532173652801e+08 1.7654184950513166e+08 1.7551325081031314e+08 1.7431869995293567e+08 1.7293535482990673e+08 1.7133852157349735e+08 1.6950202914164633e+08 1.6739884004566833e+08 1.6500200977428955e+08 1.6228600709329468e+08 1.5898661937809449e+08 1.5527262361811909e+08 1.5113481351890814e+08 1.4657948371918911e+08 1.4163251049520725e+08 1.3634242428367749e+08 1.3078146188033977e+08 1.2504362261943945e+08 1.1923930019022919e+08 1.1348595956190448e+08 1.0789721276203848e+08 1.0257443616409682e+08 9.7598894085990638e+07 9.3020662441656694e+07 8.8862865921030045e+07 8.5127160437787503e+07 8.1796421459287375e+07 7.8843136149811044e+07 7.6233396063555256e+07 7.3934462633597553e+07 7.1912234000248164e+07 7.0138536052554965e+07 6.8585070695803091e+07 6.7231202513663903e+07 6.6055298823610522e+07 6.5039014254469544e+07 6.4168130692288525e+07 6.3427184398855470e+07 6.2801231291719750e+07 6.2279456994684353e+07 6.1848116341726631e+07 6.1497504831644185e+07 6.1216265271594472e+07 6.0994788699353732e+07 6.0819870099721447e+07 6.0678560460098408e+07 6.0561426662554197e+07 6.0459387528683007e+07 6.0363326663610451e+07 6.0295422864795916e+07 6.0226882417200118e+07 6.0156957199506782e+07 6.0083721219894171e+07 6.0008171898578309e+07 5.9928120045381658e+07 5.9846342335341081e+07 5.9755420777354881e+07 5.9658115365607917e+07 5.9552635572814621e+07 5.9437583220621817e+07 5.9311259286123894e+07 5.9171749782446757e+07 5.9016288331795365e+07 5.8845294189754881e+07 5.8652159443069600e+07 5.8435621769236237e+07 5.8192539238576345e+07 5.7919530632367373e+07 5.7613109047968887e+07 5.7269776975791462e+07 5.6885650451017387e+07 5.6461353746475533e+07 5.5989317761274204e+07 5.5471225995199732e+07 5.4908276929829791e+07 5.4304886106584363e+07 5.3668566275020972e+07 5.3013617131134920e+07 5.2361302944763288e+07 5.1746570873926967e+07 5.1213103097440980e+07 5.0829587398008712e+07 5.0691609700347632e+07 5.0938140614561900e+07 5.1771357306571074e+07 5.3497638417121224e+07 5.6601978809896909e+07 6.1901778378214054e+07 1.2082798709053259e+07 +1.0026708902967810e+01 1.8191998616781816e+08 1.8190194432895991e+08 1.8187137205063674e+08 1.8183082146861708e+08 1.8178916573528862e+08 1.8176059312096912e+08 1.8175157602571061e+08 1.8175126261757186e+08 1.8174828444210556e+08 1.8173978592315263e+08 1.8172640579080972e+08 1.8170760375979564e+08 1.8168225018150333e+08 1.8164922980070472e+08 1.8160739076808366e+08 1.8155530566146576e+08 1.8149126957228500e+08 1.8141331430517596e+08 1.8131913901715648e+08 1.8120601899748769e+08 1.8107075413092384e+08 1.8090950364334083e+08 1.8071686049796513e+08 1.8048350907040066e+08 1.8019984096155503e+08 1.7986106465723360e+08 1.7946110560360122e+08 1.7899066686761522e+08 1.7843845528165174e+08 1.7779147132731301e+08 1.7703492935307956e+08 1.7615212263626963e+08 1.7512431988789982e+08 1.7393072153331706e+08 1.7254851686120626e+08 1.7095304958767891e+08 1.6911819332918128e+08 1.6701696314414713e+08 1.6462247543870121e+08 1.6190926829605743e+08 1.5861347697259158e+08 1.5490379098745388e+08 1.5077110665577346e+08 1.4622181275299266e+08 1.4128185832542232e+08 1.3599980966988575e+08 1.3044788656054479e+08 1.2472000568489234e+08 1.1892640697399890e+08 1.1318433807005303e+08 1.0760714902304305e+08 1.0229593009339498e+08 9.7331665194134712e+07 9.2764202630213946e+07 8.8616497449696794e+07 8.4890094696532562e+07 8.1567822140385449e+07 7.8622164803970292e+07 7.6019248088025510e+07 7.3726379805401117e+07 7.1709522023177147e+07 6.9940557269256294e+07 6.8391252095373660e+07 6.7041018274024419e+07 6.5868277027147062e+07 6.4854729683840133e+07 6.3986194232098632e+07 6.3247248166288309e+07 6.2622987499146894e+07 6.2102626430878140e+07 6.1672457451827325e+07 6.1322801453233160e+07 6.1042331813359119e+07 6.0821464773950122e+07 6.0647030696541995e+07 6.0506115623858392e+07 6.0389311094471201e+07 6.0287560188650399e+07 6.0191771658640586e+07 6.0124060693745568e+07 6.0055714992217660e+07 5.9985988500060834e+07 5.9912960671729021e+07 5.9837626081612021e+07 5.9757801837625168e+07 5.9676256323895834e+07 5.9585593187511399e+07 5.9488564340236530e+07 5.9383384343686715e+07 5.9268658992997311e+07 5.9142694093978338e+07 5.9003581099379145e+07 5.8848561572463498e+07 5.8678053185437679e+07 5.8485467352466710e+07 5.8269545104090869e+07 5.8027153440080538e+07 5.7754920751266025e+07 5.7449370044923410e+07 5.7107013751699410e+07 5.6723979021179907e+07 5.6300887975089192e+07 5.5830193551436387e+07 5.5313574239368707e+07 5.4752225114510641e+07 5.4150549169092566e+07 5.3516037801214188e+07 5.2862950066562146e+07 5.2212489870965511e+07 5.1599504704731897e+07 5.1067553084208705e+07 5.0685127370122902e+07 5.0547541895617135e+07 5.0793372175105721e+07 5.1624220810182028e+07 5.3345595735044517e+07 5.6441113540127479e+07 6.1725850554209225e+07 1.2040803804662403e+07 +1.0031677225742069e+01 1.8152674723755914e+08 1.8150874384590319e+08 1.8147823531306401e+08 1.8143776857955018e+08 1.8139619539408296e+08 1.8136767276176798e+08 1.8135865891713962e+08 1.8135832591798916e+08 1.8135532963684472e+08 1.8134681958092919e+08 1.8133343200366652e+08 1.8131462666277075e+08 1.8128927505718610e+08 1.8125626279298872e+08 1.8121443872148225e+08 1.8116237644681081e+08 1.8109837224082792e+08 1.8102045917822421e+08 1.8092633789497358e+08 1.8081328548941875e+08 1.8067810401796493e+08 1.8051695545265755e+08 1.8032443719532129e+08 1.8009124139210919e+08 1.7980776482940978e+08 1.7946921819325197e+08 1.7906953354931706e+08 1.7859942284422782e+08 1.7804760322161251e+08 1.7740108752303314e+08 1.7664510499184400e+08 1.7576296688658485e+08 1.7473596362696108e+08 1.7354332180363303e+08 1.7216226213330317e+08 1.7056816594274953e+08 1.6873495151838157e+08 1.6663568645462817e+08 1.6424354803303331e+08 1.6153314356895757e+08 1.5824095662193003e+08 1.5453558847055933e+08 1.5040803769108838e+08 1.4586478675005391e+08 1.4093185693667957e+08 1.3565784983487087e+08 1.3011496763760526e+08 1.2439704391560806e+08 1.1861416454594213e+08 1.1288335978382310e+08 1.0731771790412919e+08 1.0201804352137169e+08 9.7065040808535561e+07 9.2508331177982554e+07 8.8370700736936897e+07 8.4653584279208705e+07 8.1339762345500782e+07 7.8401718140449286e+07 7.5805611092420205e+07 7.3518795488446429e+07 7.1507297319541499e+07 6.9743055727775797e+07 6.8197901832317173e+07 6.6851294538626418e+07 6.5681708881263018e+07 6.4670892804868996e+07 6.3804700334489122e+07 6.3067750111494005e+07 6.2445178158765398e+07 6.1926227194490284e+07 6.1497227281096451e+07 6.1148524650972649e+07 6.0868823187311985e+07 6.0648564284345970e+07 6.0474613603909910e+07 6.0334092166875578e+07 6.0217616117947638e+07 6.0116152744078204e+07 6.0020635886839628e+07 5.9953117285323739e+07 5.9884965854150429e+07 5.9815437601890154e+07 5.9742617416149065e+07 5.9667497032485783e+07 5.9587899840997413e+07 5.9506585957103014e+07 5.9416180610726580e+07 5.9319427652071550e+07 5.9214546718980700e+07 5.9100147570588186e+07 5.8974540829638332e+07 5.8835823375046156e+07 5.8681244691541627e+07 5.8511220873444185e+07 5.8319182612710126e+07 5.8103874285780802e+07 5.7862171800006665e+07 5.7590713132406242e+07 5.7286031175903164e+07 5.6944648276955739e+07 5.6562702672250658e+07 5.6140814339205667e+07 5.5671458198657893e+07 5.5156307742280595e+07 5.4596554647991396e+07 5.3996589389652826e+07 5.3363882065998308e+07 5.2712651191747546e+07 5.2064040455851905e+07 5.1452797926100694e+07 5.0922358756370828e+07 5.0541020363988556e+07 5.0403826153762311e+07 5.0648957510557771e+07 5.1477443875744261e+07 5.3193924604392275e+07 5.6280641381370686e+07 6.1550352651352577e+07 1.1998946032336792e+07 +1.0036645548516328e+01 1.8113405801786375e+08 1.8111609349528342e+08 1.8108564927541265e+08 1.8104526589897233e+08 1.8100377527168599e+08 1.8097530259862924e+08 1.8096629204834837e+08 1.8096593955144638e+08 1.8096292526599964e+08 1.8095440378175363e+08 1.8094100888375086e+08 1.8092220037379554e+08 1.8089685090246227e+08 1.8086384694064096e+08 1.8082203804400754e+08 1.8076999884899256e+08 1.8070602681341755e+08 1.8062815629040700e+08 1.8053408940273723e+08 1.8042110506947109e+08 1.8028600752972382e+08 1.8012496151628852e+08 1.7993256888624480e+08 1.7969952958474675e+08 1.7941624562704417e+08 1.7907792992302522e+08 1.7867852117152867e+08 1.7820874022485796e+08 1.7765731457176951e+08 1.7701126945176587e+08 1.7625584904407233e+08 1.7537438263060743e+08 1.7434818238222900e+08 1.7315650109597370e+08 1.7177659095207703e+08 1.7018387091416958e+08 1.6835230394972226e+08 1.6625501017798263e+08 1.6386522771234265e+08 1.6115763301633954e+08 1.5786905836832610e+08 1.5416801604111981e+08 1.5004560652313915e+08 1.4550840552725190e+08 1.4058250606027481e+08 1.3531654442193964e+08 1.2978270466681485e+08 1.2407473678291108e+08 1.1830257229954776e+08 1.1258302402831906e+08 1.0702891867424251e+08 1.0174077567264090e+08 9.6799020122351572e+07 9.2253047257782757e+07 8.8125474945281327e+07 8.4417628345088854e+07 8.1112241236314774e+07 7.8181795327016696e+07 7.5592484252725810e+07 7.3311708867809922e+07 7.1305559083978757e+07 6.9546030632068828e+07 6.8005019119661927e+07 6.6662030528374396e+07 6.5495593614192091e+07 6.4487502852445915e+07 6.3623648240158252e+07 6.2888689480218641e+07 6.2267802520647973e+07 6.1750258539401457e+07 6.1322425086640775e+07 6.0974673684745416e+07 6.0695738655677810e+07 6.0476086494637959e+07 6.0302618087704249e+07 6.0162489356491402e+07 6.0046341001635306e+07 5.9945164464755379e+07 5.9849918619047679e+07 5.9782591911154583e+07 5.9714634275571615e+07 5.9645303778431460e+07 5.9572690727481812e+07 5.9497784026297286e+07 5.9418413331640512e+07 5.9337330512171894e+07 5.9247182325259306e+07 5.9150704580438644e+07 5.9046121979414053e+07 5.8932048235566027e+07 5.8806798776639052e+07 5.8668475894804537e+07 5.8514336976150647e+07 5.8344796542924762e+07 5.8153304515349634e+07 5.7938608608408563e+07 5.7697593615545318e+07 5.7426907076177388e+07 5.7123091744965971e+07 5.6782679859869383e+07 5.6401820717138894e+07 5.5981132156941533e+07 5.5513111026659884e+07 5.4999425833834790e+07 5.4441264867104635e+07 5.3843006112373576e+07 5.3212098421137668e+07 5.2562719866307452e+07 5.1915954066963606e+07 5.1306449913052045e+07 5.0777519495395079e+07 5.0397265765597381e+07 5.0260461862517260e+07 5.0504896005737081e+07 5.1331025877908379e+07 5.3042624378930010e+07 5.6120561650035337e+07 6.1375283921931610e+07 1.1957224985483177e+07 +1.0041613871290586e+01 1.8074192008144397e+08 1.8072399374241054e+08 1.8069361429483047e+08 1.8065331393113667e+08 1.8061190585493803e+08 1.8058348310997638e+08 1.8057447589600086e+08 1.8057410399400428e+08 1.8057107180535969e+08 1.8056253900131720e+08 1.8054913690618220e+08 1.8053032536764312e+08 1.8050497819114849e+08 1.8047198271660337e+08 1.8043018920818633e+08 1.8037817333910382e+08 1.8031423376003608e+08 1.8023640610974109e+08 1.8014239400709292e+08 1.8002947820183721e+08 1.7989446512793842e+08 1.7973352229271147e+08 1.7954125602549660e+08 1.7930837409888074e+08 1.7902528379930404e+08 1.7868720028485757e+08 1.7828806890103859e+08 1.7781861943116558e+08 1.7726758974317846e+08 1.7662201751267350e+08 1.7586716189449051e+08 1.7498637023614761e+08 1.7396097650220713e+08 1.7277025973609301e+08 1.7139150361689234e+08 1.6980016477104279e+08 1.6797025085745656e+08 1.6587493450841135e+08 1.6348751462618870e+08 1.6078273673610401e+08 1.5749778224859759e+08 1.5380107366729674e+08 1.4968381304455718e+08 1.4515266889647254e+08 1.4023380542256686e+08 1.3497589306979972e+08 1.2945109719978376e+08 1.2375308375405890e+08 1.1799162962522554e+08 1.1228333012625958e+08 1.0674075059965073e+08 1.0146412577008595e+08 9.6533602327120289e+07 9.1998350041340917e+07 8.7880819235868692e+07 8.4182226052618846e+07 8.0885257973824680e+07 7.7962395530739367e+07 7.5379866744298697e+07 7.3105119128177717e+07 7.1104306510886654e+07 6.9349481185722038e+07 6.7812603169793054e+07 6.6473225464054950e+07 6.5309930454112649e+07 6.4304559061269403e+07 6.3443037189555824e+07 6.2710065518038087e+07 6.2090859834822915e+07 6.1574719719408922e+07 6.1148050125455029e+07 6.0801247814344123e+07 6.0523077480573483e+07 6.0304030669012889e+07 6.0131043413722016e+07 5.9991306459922768e+07 5.9875485013960540e+07 5.9774594620367683e+07 5.9679619126038261e+07 5.9612483842929684e+07 5.9544719528859742e+07 5.9475586302983031e+07 5.9403179879796632e+07 5.9328486338154361e+07 5.9249341585581414e+07 5.9168489266041242e+07 5.9078597609205209e+07 5.8982394404659986e+07 5.8878109405551814e+07 5.8764360269817255e+07 5.8639467218570299e+07 5.8501537943750985e+07 5.8347837713340998e+07 5.8178779483070880e+07 5.7987832351776950e+07 5.7773747366164580e+07 5.7533418183603972e+07 5.7263501882932775e+07 5.6960551056116462e+07 5.6621107808581918e+07 5.6241332468648255e+07 5.5821840746162422e+07 5.5355151359089352e+07 5.4842927843986459e+07 5.4286355108458273e+07 5.3689798681181245e+07 5.3060686218310744e+07 5.2413155449841782e+07 5.1768230071814306e+07 5.1160460040457323e+07 5.0633034682595991e+07 5.0253862960965239e+07 5.0117448409409449e+07 5.0361187045223333e+07 5.1184966191223107e+07 5.2891694412406504e+07 5.5960873662249148e+07 6.1200643618213885e+07 1.1915640258517856e+07 +1.0046582194064845e+01 1.8035033429835656e+08 1.8033244594123763e+08 1.8030213056897062e+08 1.8026191321452624e+08 1.8022058762141904e+08 1.8019221476666164e+08 1.8018321093002200e+08 1.8018281971524811e+08 1.8017976972393745e+08 1.8017122570813876e+08 1.8015781653898743e+08 1.8013900211197382e+08 1.8011365739035550e+08 1.8008067058744144e+08 1.8003889267917570e+08 1.7998690038130072e+08 1.7992299354367164e+08 1.7984520909774920e+08 1.7975125216758406e+08 1.7963840534380704e+08 1.7950347726726139e+08 1.7934263823348078e+08 1.7915049906086120e+08 1.7891777537772533e+08 1.7863487978426334e+08 1.7829702971064860e+08 1.7789817716190514e+08 1.7742906087832382e+08 1.7687842914083201e+08 1.7623333209811383e+08 1.7547904392097533e+08 1.7459893006437480e+08 1.7357434632836539e+08 1.7238459804286239e+08 1.7100700042049068e+08 1.6941704777567080e+08 1.6758879246933696e+08 1.6549545963410041e+08 1.6311040891709045e+08 1.6040845482037055e+08 1.5712712829337481e+08 1.5343476131124640e+08 1.4932265714296794e+08 1.4479757666431445e+08 1.3988575474519160e+08 1.3463589541262951e+08 1.2912014478354286e+08 1.2343208429328699e+08 1.1768133591017036e+08 1.1198427739748372e+08 1.0645321294441336e+08 1.0118809303444281e+08 9.6268786612660125e+07 9.1744238698882878e+07 8.7636732768935487e+07 8.3947376559284657e+07 8.0658811718312010e+07 7.7743517918162346e+07 7.5167757742054433e+07 7.2899025453826964e+07 7.0903538794094697e+07 6.9153406592165008e+07 6.7620653195056081e+07 6.6284878566088669e+07 6.5124718628845505e+07 6.4122060665901601e+07 6.3262866423148148e+07 6.2531877470406003e+07 6.1914349351133004e+07 6.1399609988068618e+07 6.0974101654485464e+07 6.0628246299425878e+07 6.0350838924044140e+07 6.0132396071392380e+07 5.9959888847509928e+07 5.9820542744175814e+07 5.9705047423392735e+07 5.9604442480447844e+07 5.9509736678561717e+07 5.9442792352146745e+07 5.9375220886386737e+07 5.9306284448653668e+07 5.9234084147234440e+07 5.9159603243008234e+07 5.9080683878812663e+07 5.9000061495683081e+07 5.8910425740666784e+07 5.8814496403951623e+07 5.8710508277879037e+07 5.8597082955280349e+07 5.8472545438824914e+07 5.8335008806987613e+07 5.8181746190138415e+07 5.8013168982883416e+07 5.7822765413455307e+07 5.7609289852887973e+07 5.7369644801128618e+07 5.7100496852856047e+07 5.6798408413315825e+07 5.6459931431116804e+07 5.6081237239459991e+07 5.5662939424709901e+07 5.5197578519432485e+07 5.4686813102543257e+07 5.4131824708750501e+07 5.3536966439919166e+07 5.2909644809007294e+07 5.2263957301858775e+07 5.1620867837715261e+07 5.1014827683092929e+07 5.0488903699223779e+07 5.0110811335918158e+07 4.9974785182091951e+07 5.0217830013595365e+07 5.1039264190204129e+07 5.2741134058461167e+07 5.5801576734184600e+07 6.1026430992248774e+07 1.1874191446865125e+07 +1.0051550516839104e+01 1.7995930110597336e+08 1.7994145011050364e+08 1.7991119851876926e+08 1.7987106427059636e+08 1.7982982103705281e+08 1.7980149803250435e+08 1.7979249761358976e+08 1.7979208717775887e+08 1.7978901948350561e+08 1.7978046436400720e+08 1.7976704824360672e+08 1.7974823106757274e+08 1.7972288896023005e+08 1.7968991101231158e+08 1.7964814891560224e+08 1.7959618043310568e+08 1.7953230662032425e+08 1.7945456570894834e+08 1.7936066433676076e+08 1.7924788694574034e+08 1.7911304439550081e+08 1.7895230978331694e+08 1.7876029843331882e+08 1.7852773385796672e+08 1.7824503401307634e+08 1.7790741862503183e+08 1.7750884637133366e+08 1.7704006497473723e+08 1.7648983316235438e+08 1.7584521359341142e+08 1.7509149549473062e+08 1.7421206246992829e+08 1.7318829219589162e+08 1.7199951632885662e+08 1.7062308164918017e+08 1.6903452018429309e+08 1.6720792900682592e+08 1.6511658573687848e+08 1.6273391072224748e+08 1.6003478735537386e+08 1.5675709652743402e+08 1.5306907892994171e+08 1.4896213870045674e+08 1.4444312863254601e+08 1.3953835374486312e+08 1.3429655108039227e+08 1.2878984696178776e+08 1.2311173786077711e+08 1.1737169053834574e+08 1.1168586515909457e+08 1.0616630497025740e+08 1.0091267668442701e+08 9.6004572167215496e+07 9.1490712399257541e+07 8.7393214703460678e+07 8.3713079021664798e+07 8.0432901629082620e+07 7.7525161655123740e+07 7.4956156420229286e+07 7.2693427028586149e+07 7.0703255127194196e+07 6.8957806054475263e+07 6.7429168407435119e+07 6.6096989054737151e+07 6.4939957366142705e+07 6.3940006900659561e+07 6.3083135181075200e+07 6.2354124582539365e+07 6.1738270319303356e+07 6.1224928599014185e+07 6.0800578930457376e+07 6.0455668399567544e+07 6.0179022248020150e+07 5.9961181965668201e+07 5.9789153654751733e+07 5.9650197476363659e+07 5.9535027498152629e+07 5.9434707314479858e+07 5.9340270547233403e+07 5.9273516710209794e+07 5.9206137620432965e+07 5.9137397488600768e+07 5.9065402803759098e+07 5.8991134015813142e+07 5.8912439487191483e+07 5.8832046477993980e+07 5.8742665997535333e+07 5.8647009857462965e+07 5.8543317876771018e+07 5.8430215573675722e+07 5.8306032720627129e+07 5.8168887769551888e+07 5.8016061693395756e+07 5.7847964331344567e+07 5.7658102991568923e+07 5.7445235362604775e+07 5.7206272765009828e+07 5.6937891286114149e+07 5.6636663120368861e+07 5.6299150035497606e+07 5.5921534342211343e+07 5.5504427510329947e+07 5.5040391831180796e+07 5.4531080939172707e+07 5.3977673004431993e+07 5.3384508732511006e+07 5.2758973544815198e+07 5.2115124781768106e+07 5.1473866732004166e+07 5.0869552215667993e+07 5.0345125926404424e+07 4.9968110276277259e+07 4.9832471567988537e+07 5.0074824295404732e+07 5.0893919249266364e+07 5.2590942670705289e+07 5.5642670181902498e+07 6.0852645296035893e+07 1.1832878146955766e+07 +1.0056518839613362e+01 1.7956881959580371e+08 1.7955100627055395e+08 1.7952081846432328e+08 1.7948076757886305e+08 1.7943960655756289e+08 1.7941133336365423e+08 1.7940233640300104e+08 1.7940190683683077e+08 1.7939882153957620e+08 1.7939025542399415e+08 1.7937683247444296e+08 1.7935801268855238e+08 1.7933267335417882e+08 1.7929970444378272e+08 1.7925795836904958e+08 1.7920601394503281e+08 1.7914217343929452e+08 1.7906447639083862e+08 1.7897063096054035e+08 1.7885792345130315e+08 1.7872316695365888e+08 1.7856253738015348e+08 1.7837065457719234e+08 1.7813824996934336e+08 1.7785574691037831e+08 1.7751836744604149e+08 1.7712007693971947e+08 1.7665163212168941e+08 1.7610180219883928e+08 1.7545766237771651e+08 1.7470451698038206e+08 1.7382576780055749e+08 1.7280281443335104e+08 1.7161501489996168e+08 1.7023974758280283e+08 1.6865258224677590e+08 1.6682766068514073e+08 1.6473831299229497e+08 1.6235802017220733e+08 1.5966173442129672e+08 1.5638768697027948e+08 1.5270402647478485e+08 1.4860225759372243e+08 1.4408932459768537e+08 1.3919160213393021e+08 1.3395785969854546e+08 1.2846020327368298e+08 1.2279204391333967e+08 1.1706269289053705e+08 1.1138809272538111e+08 1.0588002593655384e+08 1.0063787593703668e+08 9.5740958177329704e+07 9.1237770310062781e+07 8.7150264197374061e+07 8.3479332595442414e+07 8.0207526864895806e+07 7.7307325906719521e+07 7.4745061952659220e+07 7.2488323035750836e+07 7.0503454703260571e+07 6.8762678775305688e+07 6.7238148018655568e+07 6.5909556149954319e+07 6.4755645893467136e+07 6.3758396999722652e+07 6.2903842703410454e+07 6.2176806099695280e+07 6.1562621988946989e+07 6.1050674805586994e+07 6.0627481210145891e+07 6.0283513374257103e+07 6.0007626714320123e+07 5.9790387615654044e+07 5.9618837100824013e+07 5.9480269923394270e+07 5.9365424506544717e+07 5.9265388391867653e+07 5.9171220002547264e+07 5.9104656188512906e+07 5.9037469003116779e+07 5.8968924695834830e+07 5.8897135123284869e+07 5.8823077931321509e+07 5.8744607686468117e+07 5.8664443489673413e+07 5.8575317657709591e+07 5.8479934044200465e+07 5.8376537482597858e+07 5.8263757406757586e+07 5.8139928347330384e+07 5.8003174116364546e+07 5.7850783509923115e+07 5.7683164817285135e+07 5.7493844377423480e+07 5.7281583189067826e+07 5.7043301371962182e+07 5.6775684482681461e+07 5.6475314481036171e+07 5.6138762929657266e+07 5.5762223089504927e+07 5.5346304320699684e+07 5.4883590617721103e+07 5.4375730683534712e+07 5.3823899331944719e+07 5.3232424902624652e+07 5.2608671777140379e+07 5.1966657248901613e+07 5.1327226121908478e+07 5.0724633012829140e+07 5.0201700745292068e+07 4.9825759167788997e+07 4.9690506954483628e+07 4.9932169275018655e+07 5.0748930742829844e+07 5.2441119602580532e+07 5.5484153321441792e+07 6.0679285781512655e+07 1.1791699956225518e+07 +1.0061487162387621e+01 1.7917889037284392e+08 1.7916111530528995e+08 1.7913099088740233e+08 1.7909102358374628e+08 1.7904994462963745e+08 1.7902172120927334e+08 1.7901272774789140e+08 1.7901227914168414e+08 1.7900917634040663e+08 1.7900059933613458e+08 1.7898716967926726e+08 1.7896834742197993e+08 1.7894301101872748e+08 1.7891005132783434e+08 1.7886832148450419e+08 1.7881640136079001e+08 1.7875259444306570e+08 1.7867494158466497e+08 1.7858115247796819e+08 1.7846851529749227e+08 1.7833384537596369e+08 1.7817332145506129e+08 1.7798156791996402e+08 1.7774932413515407e+08 1.7746701889380890e+08 1.7712987658492815e+08 1.7673186927095988e+08 1.7626376271441245e+08 1.7571433663481760e+08 1.7507067882307836e+08 1.7431810873607042e+08 1.7344004639768425e+08 1.7241791336257648e+08 1.7123109405563223e+08 1.6985699849468416e+08 1.6827123420633718e+08 1.6644798771298224e+08 1.6436064157002991e+08 1.6198273739189866e+08 1.5928929609231332e+08 1.5601889963501462e+08 1.5233960389124006e+08 1.4824301369434604e+08 1.4373616435126549e+08 1.3884549961968493e+08 1.3361982088829504e+08 1.2813121325471513e+08 1.2247300190424035e+08 1.1675434234457463e+08 1.1109095940810199e+08 1.0559437510030906e+08 1.0036369000692740e+08 9.5477943827992946e+07 9.0985411597478151e+07 8.6907880407647565e+07 8.3246136435389310e+07 7.9982686583767399e+07 7.7090009837719470e+07 7.4534473512723193e+07 7.2283712658319831e+07 7.0304136715208188e+07 6.8568023957039058e+07 6.7047591240255244e+07 6.5722579071607262e+07 6.4571783438161910e+07 6.3577230197130799e+07 6.2724988230046831e+07 6.1999921266849801e+07 6.1387403609548673e+07 6.0876847861111544e+07 6.0454807750153586e+07 6.0111780482894808e+07 5.9836651584698789e+07 5.9620012285121962e+07 5.9448938451231405e+07 5.9310759352166951e+07 5.9196237716710478e+07 5.9096484981927544e+07 5.9002584314992264e+07 5.8936210058292218e+07 5.8869214306609228e+07 5.8800865343307927e+07 5.8729280379610106e+07 5.8655434264337458e+07 5.8577187752414577e+07 5.8497251807469554e+07 5.8408379998981901e+07 5.8313268243179463e+07 5.8210166375626393e+07 5.8097707736176968e+07 5.7974231602053560e+07 5.7837867132267289e+07 5.7685910926459834e+07 5.7518769729515813e+07 5.7329988862065352e+07 5.7118332626061931e+07 5.6880729918656670e+07 5.6613875742659092e+07 5.6314361799043052e+07 5.5978769421426915e+07 5.5603302793832898e+07 5.5188569173467860e+07 5.4727174202426657e+07 5.4220761665226921e+07 5.3670503027700469e+07 5.3080714293929510e+07 5.2458738857324213e+07 5.1818554062530279e+07 5.1180945374556720e+07 5.0580069449218050e+07 5.0058627536892951e+07 4.9683757396140315e+07 4.9548890728988595e+07 4.9789864336809702e+07 5.0604298045162559e+07 5.2291664207547434e+07 5.5326025468643799e+07 6.0506351700541995e+07 1.1750656473113488e+07 +1.0066455485161880e+01 1.7878951505601400e+08 1.7877177781054386e+08 1.7874171662632591e+08 1.7870183270513797e+08 1.7866083569334123e+08 1.7863266201135552e+08 1.7862367209090665e+08 1.7862320453412518e+08 1.7862008432785031e+08 1.7861149654182056e+08 1.7859806029875350e+08 1.7857923570816559e+08 1.7855390239380288e+08 1.7852095210345787e+08 1.7847923869990632e+08 1.7842734311739576e+08 1.7836357006729075e+08 1.7828596172421941e+08 1.7819222932127878e+08 1.7807966291410825e+08 1.7794508008992597e+08 1.7778466243259737e+08 1.7759303888242984e+08 1.7736095677136764e+08 1.7707885037423611e+08 1.7674194644649982e+08 1.7634422376201952e+08 1.7587645714086393e+08 1.7532743684807199e+08 1.7468426329511547e+08 1.7393227111265990e+08 1.7305489859590888e+08 1.7203358929887742e+08 1.7084775408875117e+08 1.6947483465187845e+08 1.6789047629995149e+08 1.6606891029319400e+08 1.6398357163315839e+08 1.6160806249966845e+08 1.5891747243684494e+08 1.5565073452953789e+08 1.5197581111946186e+08 1.4788440686836696e+08 1.4338364767989314e+08 1.3850004590497893e+08 1.3328243426646277e+08 1.2780287643638162e+08 1.2215461128322570e+08 1.1644663827495155e+08 1.1079446451608047e+08 1.0530935171628992e+08 1.0009011810721111e+08 9.5215528302644044e+07 9.0733635426408201e+07 8.6666062489864781e+07 8.3013489695455924e+07 7.9758379942922249e+07 7.6873212612112835e+07 7.4324390273126051e+07 7.2079595078842685e+07 7.0105300355570585e+07 6.8373840801829487e+07 6.6857497283349164e+07 6.5536057039211735e+07 6.4388369227298528e+07 6.3396505726775557e+07 6.2546571000766128e+07 6.1823469329017393e+07 6.1212614430547260e+07 6.0703447018874422e+07 6.0282557806941509e+07 5.9940468984776132e+07 5.9666096120861925e+07 5.9450055237753347e+07 5.9279456971289948e+07 5.9141665029469900e+07 5.9027466396681026e+07 5.8927996353957810e+07 5.8834362754939228e+07 5.8768177590792082e+07 5.8701372802924342e+07 5.8633218703937620e+07 5.8561837846598335e+07 5.8488202289541267e+07 5.8410178960686207e+07 5.8330470708034791e+07 5.8241852299118631e+07 5.8147011733281016e+07 5.8044203835989773e+07 5.7932065843493104e+07 5.7808941767886586e+07 5.7672966102090552e+07 5.7521443229716145e+07 5.7354778356751993e+07 5.7166535736628726e+07 5.6955482967240900e+07 5.6718557701848507e+07 5.6452464365921959e+07 5.6153804377987072e+07 5.5819168818560250e+07 5.5444772767568253e+07 5.5031221386134692e+07 5.4571141908471532e+07 5.4066173213753611e+07 5.3517483428040989e+07 5.2929376250133626e+07 5.2309174136726238e+07 5.1670814581902690e+07 5.1035023857141271e+07 5.0435860899350971e+07 4.9915905682225719e+07 4.9542104346936971e+07 4.9407622278759405e+07 4.9647908865131930e+07 5.0460020530464813e+07 5.2142575838995904e+07 5.5168285939423285e+07 6.0333842304902956e+07 1.1709747297060683e+07 +1.0071423807936139e+01 1.7840069410647702e+08 1.7838299457478637e+08 1.7835299647221813e+08 1.7831319534428391e+08 1.7827228018399045e+08 1.7824415620493102e+08 1.7823516986810955e+08 1.7823468344956219e+08 1.7823154593657154e+08 1.7822294747572944e+08 1.7820950476732737e+08 1.7819067798089415e+08 1.7816534791227314e+08 1.7813240720276344e+08 1.7809071044673672e+08 1.7803883964525470e+08 1.7797510074093431e+08 1.7789753723711765e+08 1.7780386191598150e+08 1.7769136672474641e+08 1.7755687151619747e+08 1.7739656073014966e+08 1.7720506787845102e+08 1.7697314828800356e+08 1.7669124175602776e+08 1.7635457742848361e+08 1.7595714080329651e+08 1.7548971578252932e+08 1.7494110320966008e+08 1.7429841615293649e+08 1.7354700445528227e+08 1.7267032472359762e+08 1.7164984255118182e+08 1.7046499528580794e+08 1.6909325631491324e+08 1.6751030875825781e+08 1.6569042862196410e+08 1.6360710333900371e+08 1.6123399560847473e+08 1.5854626351712623e+08 1.5528319165568987e+08 1.5161264809430090e+08 1.4752643697686473e+08 1.4303177436515915e+08 1.3815524068785983e+08 1.3294569944564666e+08 1.2747519234626852e+08 1.2183687149640332e+08 1.1613958005335951e+08 1.1049860735578808e+08 1.0502495503706045e+08 9.9817159449061155e+07 9.4953710783062980e+07 9.0482440960479349e+07 8.6424809598946661e+07 8.2781391528612569e+07 7.9534606098917872e+07 7.6656933393374845e+07 7.4114811406454936e+07 7.1875969479522496e+07 6.9906944816408262e+07 6.8180128511566788e+07 6.6667865359067522e+07 6.5349989272266053e+07 6.4205402487915240e+07 6.3216222822355814e+07 6.2368590255209111e+07 6.1647449530917577e+07 6.1038253701196671e+07 6.0530471531994589e+07 6.0110730637029588e+07 5.9769578139210179e+07 5.9495959584444061e+07 5.9280515737129867e+07 5.9110391926211730e+07 5.8972986222054496e+07 5.8859109814577922e+07 5.8759921777145632e+07 5.8666554592847370e+07 5.8600558057174921e+07 5.8533943764047846e+07 5.8465984050507233e+07 5.8394806797876455e+07 5.8321381281576194e+07 5.8243580586903654e+07 5.8164099467871077e+07 5.8075733835760027e+07 5.7981163793410003e+07 5.7878649143866703e+07 5.7766831010306962e+07 5.7644058127936877e+07 5.7508470310544066e+07 5.7357379706281118e+07 5.7191189987773120e+07 5.7003484292099133e+07 5.6793033506278567e+07 5.6556784017965674e+07 5.6291449652431786e+07 5.5993641521479949e+07 5.5659960428849779e+07 5.5286632323150687e+07 5.4874260276213966e+07 5.4415493059069082e+07 5.3911964658607632e+07 5.3364839869231202e+07 5.2778410114705831e+07 5.2159976966591045e+07 5.1523438166217357e+07 5.0889460936697908e+07 5.0292006737726636e+07 4.9773534562200725e+07 4.9400799405759551e+07 4.9266700991050743e+07 4.9506302244250029e+07 5.0316097573005423e+07 5.1993853850194290e+07 5.5010934049545884e+07 6.0161756846383244e+07 1.1668972028508410e+07 +1.0076392130710397e+01 1.7801242657239342e+08 1.7799476471491796e+08 1.7796483068987662e+08 1.7792511190058622e+08 1.7788427853120562e+08 1.7785620421854728e+08 1.7784722150825155e+08 1.7784671631657124e+08 1.7784356159477326e+08 1.7783495256554481e+08 1.7782150351215148e+08 1.7780267466711771e+08 1.7777734800049832e+08 1.7774441705132985e+08 1.7770273714944753e+08 1.7765089136770529e+08 1.7758718688608459e+08 1.7750966854383036e+08 1.7741605068089855e+08 1.7730362714590710e+08 1.7716922006887701e+08 1.7700901675898638e+08 1.7681765531546772e+08 1.7658589908765876e+08 1.7630419343697017e+08 1.7596776992219833e+08 1.7557062077847522e+08 1.7510353901430243e+08 1.7455533608407617e+08 1.7391313774876657e+08 1.7316230910218504e+08 1.7228632510221061e+08 1.7126667342203951e+08 1.7008281792680481e+08 1.6871226373806748e+08 1.6713073180592880e+08 1.6531254288958406e+08 1.6323123683844677e+08 1.6086053682484740e+08 1.5817566938996574e+08 1.5491627100983915e+08 1.5125011474486730e+08 1.4716910387547424e+08 1.4268054418376595e+08 1.3781108366188905e+08 1.3260961603416507e+08 1.2714816050800721e+08 1.2151978198659635e+08 1.1583316704821298e+08 1.1020338723085929e+08 1.0474118431292701e+08 9.9544813241514489e+07 9.4692490449550644e+07 9.0231827362123087e+07 8.6184120888451353e+07 8.2549841087153837e+07 7.9311364207668051e+07 7.6441171344400018e+07 7.3905736084330246e+07 7.1672835042024627e+07 6.9709069289547563e+07 6.7986886287867770e+07 6.6478694678069972e+07 6.5164374989852190e+07 6.4022882446744569e+07 6.3036380717479438e+07 6.2191045232917413e+07 6.1471861117400266e+07 6.0864320670792893e+07 6.0357920653533027e+07 5.9939325496794790e+07 5.9599107205360718e+07 5.9326241237037443e+07 5.9111393046807043e+07 5.8941742581344210e+07 5.8804722196597405e+07 5.8691167238379851e+07 5.8592260520646736e+07 5.8499159098908350e+07 5.8433350728571057e+07 5.8366926461919479e+07 5.8299160655847818e+07 5.8228186507216446e+07 5.8154970514993168e+07 5.8077391906620078e+07 5.7998137363644503e+07 5.7910023886600889e+07 5.7815723702359535e+07 5.7713501579381533e+07 5.7602002518038519e+07 5.7479579965195514e+07 5.7344379042346418e+07 5.7193719642763525e+07 5.7028003911121257e+07 5.6840833819479227e+07 5.6630983536801778e+07 5.6395408163655713e+07 5.6130830901863933e+07 5.5833872533043489e+07 5.5501143559930563e+07 5.5128880772875421e+07 5.4717685161224172e+07 5.4260226977437347e+07 5.3758135329222165e+07 5.3212571687487639e+07 5.2627815231236100e+07 5.2011146698145047e+07 5.1376424174604811e+07 5.0744255980221614e+07 5.0148506338791922e+07 4.9631513557763971e+07 4.9259841958180182e+07 4.9126126253119603e+07 4.9365043858368240e+07 5.0172528546913624e+07 5.1845497594535343e+07 5.4853969114839107e+07 5.9990094576610871e+07 1.1628330268896721e+07 +1.0081360453484656e+01 1.7762471305708244e+08 1.7760708934222358e+08 1.7757721934729409e+08 1.7753758278871211e+08 1.7749683115929407e+08 1.7746880647402477e+08 1.7745982743386272e+08 1.7745930355689508e+08 1.7745613172400635e+08 1.7744751223259690e+08 1.7743405695395291e+08 1.7741522618688223e+08 1.7738990307800382e+08 1.7735698206807679e+08 1.7731531922609317e+08 1.7726349870167476e+08 1.7719982891841945e+08 1.7712235605853814e+08 1.7702879602825576e+08 1.7691644458758879e+08 1.7678212615531081e+08 1.7662203092323545e+08 1.7643080159396994e+08 1.7619920956686959e+08 1.7591770580773896e+08 1.7558152431218913e+08 1.7518466406461352e+08 1.7471792720477241e+08 1.7417013582940897e+08 1.7352842842843926e+08 1.7277818538488695e+08 1.7190290004711586e+08 1.7088408220735565e+08 1.6970122228571120e+08 1.6833185716908643e+08 1.6675174566072094e+08 1.6493525327981320e+08 1.6285597227661076e+08 1.6048768624941900e+08 1.5780569010619551e+08 1.5454997258255941e+08 1.5088821099502143e+08 1.4681240741471440e+08 1.4232995690739268e+08 1.3746757451605293e+08 1.3227418363599516e+08 1.2682178044163898e+08 1.2120334219321565e+08 1.1552739862501064e+08 1.0990880344239871e+08 1.0445803879185076e+08 9.9273078692047849e+07 9.4431866480737507e+07 8.9981793792320430e+07 8.5943995511123583e+07 8.2318837522398859e+07 7.9088653424310297e+07 7.6225925627570093e+07 7.3697163478400990e+07 7.1470190947814107e+07 6.9511672966607228e+07 6.7794113332011133e+07 6.6289984451044530e+07 6.4979213411058024e+07 6.3840808330500729e+07 6.2856978645565502e+07 6.2013935173381917e+07 6.1296703333033308e+07 6.0690814588457994e+07 6.0185793636556774e+07 5.9768341642588161e+07 5.9429055442411967e+07 5.9156940340161622e+07 5.8942686430340677e+07 5.8773508201806478e+07 5.8636872219787642e+07 5.8523637935985722e+07 5.8425011853596725e+07 5.8332175543404639e+07 5.8266554876019590e+07 5.8200320168487407e+07 5.8132747792718709e+07 5.8061976248162031e+07 5.7988969264421515e+07 5.7911612195311800e+07 5.7832583671778336e+07 5.7744721729212999e+07 5.7650690738924675e+07 5.7548760422525972e+07 5.7437579648142785e+07 5.7315506562650532e+07 5.7180691582195617e+07 5.7030462325704150e+07 5.6865219415443592e+07 5.6678583609701112e+07 5.6469332352265954e+07 5.6234429435363486e+07 5.5970607414175130e+07 5.5674496716243476e+07 5.5342717519505084e+07 5.4971517429099567e+07 5.4561495358513094e+07 5.4105342986663766e+07 5.3604684554970972e+07 5.3060678219063140e+07 5.2477590943221435e+07 5.1862682682561852e+07 5.1229771966175593e+07 5.0599408354780793e+07 5.0005359077016145e+07 4.9489842049773805e+07 4.9119231389661223e+07 4.8985897452071913e+07 4.9224133091713622e+07 5.0029312826291725e+07 5.1697506425233878e+07 5.4697390450948186e+07 5.9818854747282110e+07 1.1587821620662928e+07 +1.0086328776258915e+01 1.7723755534417933e+08 1.7721996952005234e+08 1.7719016260438836e+08 1.7715060843788913e+08 1.7710993848482960e+08 1.7708196338685948e+08 1.7707298806005239e+08 1.7707244558560809e+08 1.7706925673907849e+08 1.7706062689141563e+08 1.7704716550670248e+08 1.7702833295384833e+08 1.7700301355772194e+08 1.7697010266489515e+08 1.7692845708788115e+08 1.7687666205723250e+08 1.7681302724669805e+08 1.7673560018835276e+08 1.7664209836336783e+08 1.7652981945297754e+08 1.7639559017622882e+08 1.7623560362040475e+08 1.7604450710809940e+08 1.7581308011506772e+08 1.7553177925289878e+08 1.7519584097661150e+08 1.7479927103240481e+08 1.7433288071525571e+08 1.7378550279679540e+08 1.7314428853146911e+08 1.7239463362867755e+08 1.7152004986694083e+08 1.7050206919653559e+08 1.6932020862960431e+08 1.6795203684971806e+08 1.6637335053495571e+08 1.6455855997076145e+08 1.6248130979238763e+08 1.6011544397687235e+08 1.5743632571069559e+08 1.5418429635890532e+08 1.5052693676304266e+08 1.4645634744001985e+08 1.4198001230303979e+08 1.3712471293445563e+08 1.3193940185107946e+08 1.2649605166296396e+08 1.2088755155202645e+08 1.1522227414626986e+08 1.0961485528869787e+08 1.0417551771973976e+08 9.9001955006116107e+07 9.4171838053998053e+07 8.9732339411022916e+07 8.5704432618650749e+07 8.2088379984939039e+07 7.8866472903461665e+07 7.6011195404589295e+07 7.3489092759558216e+07 7.1268036377934858e+07 6.9314755038796678e+07 6.7601808845119357e+07 6.6101733888240598e+07 6.4794503754743271e+07 6.3659179365766786e+07 6.2678015840035208e+07 6.1837259315930150e+07 6.1121975422351137e+07 6.0517734703265749e+07 6.0014089734001629e+07 5.9597778330687761e+07 5.9259422109481804e+07 5.8988056155277997e+07 5.8774395151171073e+07 5.8605688052848063e+07 5.8469435558286808e+07 5.8356521175412655e+07 5.8258175045122124e+07 5.8165603196574569e+07 5.8100169770628333e+07 5.8034124155581214e+07 5.7966744733801030e+07 5.7896175294377603e+07 5.7823376804315478e+07 5.7746240728517525e+07 5.7667437668811910e+07 5.7579826641162865e+07 5.7486064181883946e+07 5.7384424953387268e+07 5.7273561682049245e+07 5.7151837203247041e+07 5.7017407214679427e+07 5.6867607041603386e+07 5.6702835789329402e+07 5.6516732953694262e+07 5.6308079246324472e+07 5.6073847129516192e+07 5.5810778489045151e+07 5.5515513374508746e+07 5.5184681615192622e+07 5.4814541604023889e+07 5.4405690185567081e+07 5.3950840409910306e+07 5.3451611665230393e+07 5.2909158800127432e+07 5.2327736594099790e+07 5.1714584271039627e+07 5.1083480900006093e+07 5.0454917427317999e+07 4.9862564326739408e+07 4.9348519419033557e+07 4.8978967085764013e+07 4.8846013975094564e+07 4.9083569328449510e+07 4.9886449785274893e+07 5.1549879695505753e+07 5.4541197373696998e+07 5.9648036609999299e+07 1.1547445687239962e+07 +1.0091297099033174e+01 1.7685095415894431e+08 1.7683340405607414e+08 1.7680366089027545e+08 1.7676418928302115e+08 1.7672360091698486e+08 1.7669567536597243e+08 1.7668670379562229e+08 1.7668614281129926e+08 1.7668293704815108e+08 1.7667429694977328e+08 1.7666082957792380e+08 1.7664199537478226e+08 1.7661667984597838e+08 1.7658377924750984e+08 1.7654215113931465e+08 1.7649038183781201e+08 1.7642678227307162e+08 1.7634940133403125e+08 1.7625595808519793e+08 1.7614375213876393e+08 1.7600961252558422e+08 1.7584973524167925e+08 1.7565877224526495e+08 1.7542751111535719e+08 1.7514641415000269e+08 1.7481072028671226e+08 1.7441444204560319e+08 1.7394839990105811e+08 1.7340143733146456e+08 1.7276071839051157e+08 1.7201165415214044e+08 1.7113777486395308e+08 1.7012063467299601e+08 1.6893977721947202e+08 1.6757280301510686e+08 1.6599554663398370e+08 1.6418246313396537e+08 1.6210724951854104e+08 1.5974381009636694e+08 1.5706757624261025e+08 1.5381924231845814e+08 1.5016629196205372e+08 1.4610092379166692e+08 1.4163071013257098e+08 1.3678249859718272e+08 1.3160527027501567e+08 1.2617097368436559e+08 1.2057240949544813e+08 1.1491779297135663e+08 1.0932154206584644e+08 1.0389362034019499e+08 9.8731441387388155e+07 9.3912404344968975e+07 8.9483463376827896e+07 8.5465431361632243e+07 8.1858467624531567e+07 7.8644821798894405e+07 7.5796979836901903e+07 7.3281523098439679e+07 7.1066370513090178e+07 6.9118314696994483e+07 6.7409972028046265e+07 6.5913942199953869e+07 6.4610245239588194e+07 6.3477994778819807e+07 6.2499491534097321e+07 6.1661016899773188e+07 6.0947676629911706e+07 6.0345080264274120e+07 5.9842808198747799e+07 5.9427634817325272e+07 5.9090206465599567e+07 5.8819587943917274e+07 5.8606518472811043e+07 5.8438281399535224e+07 5.8302411478665754e+07 5.8189816224473760e+07 5.8091749364283733e+07 5.7999441328707606e+07 5.7934194683400869e+07 5.7868337695119187e+07 5.7801150751839720e+07 5.7730782919470310e+07 5.7658192409195282e+07 5.7581276781732976e+07 5.7502698631105147e+07 5.7415337900075182e+07 5.7321843309921011e+07 5.7220494451910459e+07 5.7109947901191778e+07 5.6988571169921733e+07 5.6854525224448837e+07 5.6705153076994210e+07 5.6540852321364678e+07 5.6355281142371513e+07 5.6147223512420438e+07 5.5913660542656608e+07 5.5651343426281072e+07 5.5356921811276585e+07 5.5027035154616818e+07 5.4657952609999575e+07 5.4250268959688634e+07 5.3796718570223331e+07 5.3298915989379488e+07 5.2758012766762465e+07 5.2178251527371883e+07 5.1566850814713769e+07 5.0937550335162394e+07 5.0310782564755343e+07 4.9720121462366648e+07 4.9207545046481244e+07 4.8839048431869991e+07 4.8706475209367558e+07 4.8943351952749744e+07 4.9743938797966272e+07 5.1402616758556768e+07 5.4385389198660821e+07 5.9477639416367441e+07 1.1507202073054887e+07 +1.0096265421807432e+01 1.7646490692057958e+08 1.7644739471690187e+08 1.7641771481738007e+08 1.7637832576063371e+08 1.7633781885706162e+08 1.7630994281389517e+08 1.7630097504218453e+08 1.7630039563578823e+08 1.7629717305264524e+08 1.7628852280901429e+08 1.7627504956825331e+08 1.7625621385005119e+08 1.7623090234232694e+08 1.7619801221477279e+08 1.7615640177840197e+08 1.7610465844045156e+08 1.7604109439332661e+08 1.7596375988960773e+08 1.7587037558590111e+08 1.7575824303500524e+08 1.7562419359092724e+08 1.7546442617145544e+08 1.7527359738620675e+08 1.7504250294426605e+08 1.7476161087036386e+08 1.7442616260739252e+08 1.7403017746174687e+08 1.7356448511091408e+08 1.7301793977157152e+08 1.7237771833193290e+08 1.7162924726783079e+08 1.7075607533418664e+08 1.6973977891338202e+08 1.6855992831002492e+08 1.6719415589447260e+08 1.6561833415741602e+08 1.6380696293513635e+08 1.6173379158226737e+08 1.5937278469065565e+08 1.5669944173561567e+08 1.5345481043499443e+08 1.4980627649962172e+08 1.4574613630459470e+08 1.4128205015333003e+08 1.3644093117923379e+08 1.3127178849938287e+08 1.2584654601421706e+08 1.2025791545271681e+08 1.1461395445691864e+08 1.0902886306703292e+08 1.0361234589483780e+08 9.8461537037825495e+07 9.3653564527929246e+07 8.9235164847159654e+07 8.5226990889805183e+07 8.1629099590186939e+07 7.8423699263968185e+07 7.5583278085171059e+07 7.3074453665151373e+07 7.0865192533548877e+07 6.8922351131962419e+07 6.7218602081420228e+07 6.5726608596109048e+07 6.4426437084164731e+07 6.3297253796004288e+07 6.2321404960883252e+07 6.1485207164155185e+07 6.0773806200105816e+07 6.0172850520420238e+07 5.9671948283752531e+07 5.9257910358771607e+07 5.8921407769865483e+07 5.8651534967516802e+07 5.8439055658677235e+07 5.8271287507050842e+07 5.8135799247554310e+07 5.8023522351096347e+07 5.7925734080105424e+07 5.7833689209889323e+07 5.7768628885343343e+07 5.7702960058886200e+07 5.7635965119508728e+07 5.7565798396973275e+07 5.7493415353561051e+07 5.7416719630363144e+07 5.7338365835194334e+07 5.7251254783402167e+07 5.7158027401789263e+07 5.7056968198146008e+07 5.6946737586917073e+07 5.6825707745587058e+07 5.6692044896052830e+07 5.6543099718369007e+07 5.6379268300001234e+07 5.6194227466532201e+07 5.5986764444106974e+07 5.5753868971206024e+07 5.5492301525593169e+07 5.5198721330015391e+07 5.4869777445316106e+07 5.4501749759199761e+07 5.4095230998308577e+07 5.3642976790700324e+07 5.3146596856732056e+07 5.2607239455200762e+07 5.2029135086433552e+07 5.1419481664705947e+07 5.0791979630713195e+07 5.0167003134106033e+07 4.9578029858271964e+07 4.9066918312816843e+07 4.8699474813496664e+07 4.8567280541965157e+07 4.8803480348735623e+07 4.9601779238387972e+07 5.1255716967585281e+07 5.4229965241553165e+07 5.9307662417968698e+07 1.1467090383527307e+07 +1.0101233744581691e+01 1.7607941728619352e+08 1.7606194196078178e+08 1.7603232486050209e+08 1.7599301829441258e+08 1.7595259269955307e+08 1.7592476612635538e+08 1.7591580219504711e+08 1.7591520445439342e+08 1.7591196514751929e+08 1.7590330486356387e+08 1.7588982587182346e+08 1.7587098877317193e+08 1.7584568143995771e+08 1.7581280195886093e+08 1.7577120939657739e+08 1.7571949225542122e+08 1.7565596399620563e+08 1.7557867624254096e+08 1.7548535125105745e+08 1.7537329252528208e+08 1.7523933375309941e+08 1.7507967678753319e+08 1.7488898290511733e+08 1.7465805597159189e+08 1.7437736977868244e+08 1.7404216829706234e+08 1.7364647763162693e+08 1.7318113668688455e+08 1.7263501044907907e+08 1.7199528867565277e+08 1.7124741328145120e+08 1.7037495156697503e+08 1.6935950218815786e+08 1.6818066214970660e+08 1.6681609571041772e+08 1.6524171329860473e+08 1.6343205953364831e+08 1.6136093610427856e+08 1.5900236783686486e+08 1.5633192221741098e+08 1.5309100067682105e+08 1.4944689027806494e+08 1.4539198480898312e+08 1.4093403211759242e+08 1.3610001035167533e+08 1.3093895611144276e+08 1.2552276815732606e+08 1.1994406884955437e+08 1.1431075795647931e+08 1.0873681758324483e+08 1.0333169362297325e+08 9.8192241157460868e+07 9.3395317775560960e+07 8.8987442978241086e+07 8.4989110351912111e+07 8.1400275030033469e+07 7.8203104451252490e+07 7.5370089309743315e+07 7.2867883629470617e+07 7.0664501619440302e+07 6.8726863534088150e+07 6.7027698205652915e+07 6.5539732286545284e+07 6.4243078506888494e+07 6.3116955643464059e+07 6.2143755353535093e+07 6.1309829348160222e+07 6.0600363377346829e+07 6.0001044720702633e+07 5.9501509241766743e+07 5.9088604211184412e+07 5.8753025281273626e+07 5.8483896487457387e+07 5.8272005972238645e+07 5.8104705640474185e+07 5.7969598131485209e+07 5.7857638823195867e+07 5.7760128461698733e+07 5.7668346110393032e+07 5.7603471647500351e+07 5.7537990518735826e+07 5.7471187109487370e+07 5.7401221000481158e+07 5.7329044911918648e+07 5.7252568549875095e+07 5.7174438557485335e+07 5.7087576568736978e+07 5.6994615736165769e+07 5.6893845472085200e+07 5.6783930020608515e+07 5.6663246213117890e+07 5.6529965514127277e+07 5.6381446252151251e+07 5.6218083013875984e+07 5.6033571217130542e+07 5.5826701334791839e+07 5.5594471711501762e+07 5.5333652086743645e+07 5.5040911234176554e+07 5.4712907794939540e+07 5.4345932363910206e+07 5.3940575618699610e+07 5.3489614394366175e+07 5.2994653596584812e+07 5.2456838201506652e+07 5.1880386614752389e+07 5.1272476172160618e+07 5.0646768145698763e+07 5.0023578502252169e+07 4.9436288888782300e+07 4.8926638598932438e+07 4.8560245616056405e+07 4.8428429360042036e+07 4.8663953900587641e+07 4.9459970480681367e+07 5.1109179675834350e+07 5.4074924818027668e+07 5.9138104866407119e+07 1.1427110225067783e+07 +1.0106202067355950e+01 1.7569448287064344e+08 1.7567704588328972e+08 1.7564749141878602e+08 1.7560826726737195e+08 1.7556792283245212e+08 1.7554014569231668e+08 1.7553118564257860e+08 1.7553056965550867e+08 1.7552731372138649e+08 1.7551864350155219e+08 1.7550515887628525e+08 1.7548632053148383e+08 1.7546101752505898e+08 1.7542814886549059e+08 1.7538657437863752e+08 1.7533488366632468e+08 1.7527139146429980e+08 1.7519415077368215e+08 1.7510088545979658e+08 1.7498890098631901e+08 1.7485503338662207e+08 1.7469548746129522e+08 1.7450492916971204e+08 1.7427417056073210e+08 1.7399369123282516e+08 1.7365873770752028e+08 1.7326334289975092e+08 1.7279835496475422e+08 1.7225264968932784e+08 1.7161342973517886e+08 1.7086615249234834e+08 1.6999440384558541e+08 1.6897980476164722e+08 1.6780197898038116e+08 1.6643862267957830e+08 1.6486568424479535e+08 1.6305775308315244e+08 1.6098868319955280e+08 1.5863255960640803e+08 1.5596501771012339e+08 1.5272781300694987e+08 1.4908813319438690e+08 1.4503846912981308e+08 1.4058665577298781e+08 1.3575973578064856e+08 1.3060677269447179e+08 1.2519963961450921e+08 1.1963086910835755e+08 1.1400820282073396e+08 1.0844540490268850e+08 1.0305166276184094e+08 9.7923552944681808e+07 9.3137663259277493e+07 8.8740296925174162e+07 8.4751788895719156e+07 8.1171993091526836e+07 7.7983036512745619e+07 7.5157412670340881e+07 7.2661812160741299e+07 7.0464296950428441e+07 6.8531851093480572e+07 6.6837259600997582e+07 6.5353312480863221e+07 6.4060168725996844e+07 6.2937099547245920e+07 6.1966541944970183e+07 6.1134882690801844e+07 6.0427347405919477e+07 5.9829662113976873e+07 5.9331490325663663e+07 5.8919715630774051e+07 5.8585058258908391e+07 5.8316671765259601e+07 5.8105368676886104e+07 5.7938535064967759e+07 5.7803807397123627e+07 5.7692164908602461e+07 5.7594931778080910e+07 5.7503411300425574e+07 5.7438722240865208e+07 5.7373428346531652e+07 5.7306815994457714e+07 5.7237050003525823e+07 5.7165080358689822e+07 5.7088822815790981e+07 5.7010916074402161e+07 5.6924302533598408e+07 5.6831607591797352e+07 5.6731125553655677e+07 5.6621524483652547e+07 5.6501185855459251e+07 5.6368286363287076e+07 5.6220191964870378e+07 5.6057295751484685e+07 5.5873311684995703e+07 5.5667033478048034e+07 5.5435468060113735e+07 5.5175394409437090e+07 5.4883490827182867e+07 5.4556425511075258e+07 5.4190499736312822e+07 5.3786302138315894e+07 5.3336630704349011e+07 5.2843085538355626e+07 5.2306808341892250e+07 5.1732005455753610e+07 5.1125833688173942e+07 5.0501915239173427e+07 4.9880508036119089e+07 4.9294897928302921e+07 4.8786705285616815e+07 4.8421360225040190e+07 4.8289921050687514e+07 4.8524771992428772e+07 4.9318511898831047e+07 5.0963004236465238e+07 5.3920267243786335e+07 5.8968966013231166e+07 1.1387261205076320e+07 +1.0111170390130209e+01 1.7531010654524463e+08 1.7529270730548635e+08 1.7526321519406262e+08 1.7522407301473168e+08 1.7518380963830090e+08 1.7515608189407566e+08 1.7514712576678196e+08 1.7514649162163121e+08 1.7514321915576026e+08 1.7513453910452583e+08 1.7512104896249896e+08 1.7510220950518608e+08 1.7507691097786960e+08 1.7504405331392154e+08 1.7500249710275447e+08 1.7495083305046833e+08 1.7488737717342937e+08 1.7481018385733622e+08 1.7471697858464059e+08 1.7460506878853446e+08 1.7447129285906407e+08 1.7431185855740419e+08 1.7412143654119390e+08 1.7389084706861824e+08 1.7361057558470228e+08 1.7327587118403640e+08 1.7288077360405415e+08 1.7241614027370948e+08 1.7187085781152534e+08 1.7123214181749681e+08 1.7048546519384947e+08 1.6961443244676444e+08 1.6860068689154336e+08 1.6742387903820634e+08 1.6606173701246735e+08 1.6449024717710632e+08 1.6268404373103470e+08 1.6061703297731879e+08 1.5826336006459960e+08 1.5559872823013344e+08 1.5236524738280770e+08 1.4873000514048654e+08 1.4468558908687776e+08 1.4023992086230671e+08 1.3542010712823698e+08 1.3027523782776274e+08 1.2487715988312799e+08 1.1931831564834294e+08 1.1370628839740606e+08 1.0815462431116892e+08 1.0277225254662246e+08 9.7655471596120000e+07 9.2880600148953333e+07 8.8493725841869771e+07 8.4515025668115020e+07 8.0944252921381474e+07 7.7763494599895209e+07 7.4945247326233983e+07 7.2456238427919805e+07 7.0264577705898821e+07 6.8337313000022218e+07 6.6647285467392690e+07 6.5167348388614498e+07 6.3877706959698714e+07 6.2757684733322866e+07 6.1789763968119882e+07 6.0960366431167334e+07 6.0254757530197039e+07 5.9658701949136555e+07 5.9161890788290255e+07 5.8751243873719178e+07 5.8417505961751372e+07 5.8149860062248640e+07 5.7939143036049090e+07 5.7772775045657918e+07 5.7638426311040528e+07 5.7527099875225909e+07 5.7430143298355006e+07 5.7338884050117187e+07 5.7274379936439902e+07 5.7209272814106025e+07 5.7142851047136255e+07 5.7073284679738112e+07 5.7001520968413748e+07 5.6925481703486629e+07 5.6847797662390336e+07 5.6761431955529161e+07 5.6669002247383997e+07 5.6568807722931929e+07 5.6459520257459223e+07 5.6339525955508702e+07 5.6207006728120618e+07 5.6059336142965466e+07 5.5896905801370099e+07 5.5713448161058806e+07 5.5507760167312786e+07 5.5276857313409299e+07 5.5017527793412149e+07 5.4726459412527800e+07 5.4400329901285216e+07 5.4035451188700102e+07 5.3632409874481738e+07 5.3184025043655366e+07 5.2691892011333749e+07 5.2157149212471798e+07 5.1583990952896550e+07 5.0979553563912928e+07 5.0357420270161144e+07 4.9737791102713607e+07 4.9153856351203687e+07 4.8647117753678478e+07 4.8282818025851622e+07 4.8151755001085065e+07 4.8385934008379288e+07 4.9177402866945475e+07 5.0817190002703398e+07 5.3765991834466606e+07 5.8800245110043585e+07 1.1347542931940768e+07 +1.0116138712904467e+01 1.7492628725355840e+08 1.7490892524761048e+08 1.7487949658595780e+08 1.7484043585442209e+08 1.7480025349374282e+08 1.7477257510678929e+08 1.7476362294298428e+08 1.7476297072799689e+08 1.7475968182618156e+08 1.7475099204756042e+08 1.7473749650512150e+08 1.7471865606859392e+08 1.7469336217163223e+08 1.7466051567675418e+08 1.7461897794072285e+08 1.7456734077839401e+08 1.7450392149306351e+08 1.7442677586161253e+08 1.7433363099171922e+08 1.7422179629588950e+08 1.7408811253191373e+08 1.7392879043431669e+08 1.7373850537430570e+08 1.7350808584564769e+08 1.7322802317937711e+08 1.7289356906567743e+08 1.7249877007595825e+08 1.7203449293651122e+08 1.7148963512816438e+08 1.7085142522349912e+08 1.7010535167266110e+08 1.6923503764113438e+08 1.6822214882942265e+08 1.6704636255271539e+08 1.6568543891355991e+08 1.6411540227056357e+08 1.6231093161898223e+08 1.6024598554058510e+08 1.5789476927137667e+08 1.5523305378832120e+08 1.5200330375599542e+08 1.4837250600256544e+08 1.4433334449533740e+08 1.3989382712371582e+08 1.3508112405179203e+08 1.2994435108631413e+08 1.2455532845669310e+08 1.1900640788540328e+08 1.1340501403145836e+08 1.0786447509212418e+08 1.0249346221035893e+08 9.7387996306493118e+07 9.2624127613058314e+07 8.8247728881021842e+07 8.4278819814957142e+07 8.0717053665550649e+07 7.7544477863556340e+07 7.4733592436284989e+07 7.2251161599688426e+07 7.0065343064895466e+07 6.8143248443472534e+07 6.6457775004742444e+07 6.4981839219069041e+07 6.3695692426005781e+07 6.2578710427551709e+07 6.1613420655826420e+07 6.0786279808138072e+07 6.0082592994335145e+07 5.9488163475090459e+07 5.8992709882366963e+07 5.8583188196116187e+07 5.8250367648837909e+07 5.7983460639964819e+07 5.7773328313247696e+07 5.7607424847634517e+07 5.7473454139824100e+07 5.7362442990985826e+07 5.7265762291547157e+07 5.7174763629764609e+07 5.7110444005277283e+07 5.7045523193329886e+07 5.6979291540221088e+07 5.6909924302704155e+07 5.6838366015594147e+07 5.6762544488489702e+07 5.6685082597918905e+07 5.6598964112094969e+07 5.6506798981710851e+07 5.6406891259898864e+07 5.6297916623402350e+07 5.6178265796230301e+07 5.6046125893191561e+07 5.5898878073021576e+07 5.5736912452073969e+07 5.5553979936164930e+07 5.5348880696189508e+07 5.5118638767856285e+07 5.4860051538459443e+07 5.4569816293606944e+07 5.4244620273226172e+07 5.3880786033288836e+07 5.3478898144574106e+07 5.3031796735444628e+07 5.2541072344860524e+07 5.2007860149401881e+07 5.1436342449606910e+07 5.0833635150567234e+07 5.0213282597775742e+07 4.9595427068937324e+07 4.9013163531861492e+07 4.8507875384003416e+07 4.8144618404020555e+07 4.8013930598323382e+07 4.8247439332655333e+07 4.9036642759109452e+07 5.0671736327757880e+07 5.3612097905800715e+07 5.8631941408478126e+07 1.1307955015035234e+07 +1.0121107035678726e+01 1.7454302542214540e+08 1.7452570097632509e+08 1.7449633524475801e+08 1.7445735612553114e+08 1.7441725476913464e+08 1.7438962569915143e+08 1.7438067754010564e+08 1.7438000734389699e+08 1.7437670210137588e+08 1.7436800269901648e+08 1.7435450187215284e+08 1.7433566058899733e+08 1.7431037147342968e+08 1.7427753632010007e+08 1.7423601725779697e+08 1.7418440721440816e+08 1.7412102478605580e+08 1.7404392714768943e+08 1.7395084304046929e+08 1.7383908386569452e+08 1.7370549275995559e+08 1.7354628344374853e+08 1.7335613601741663e+08 1.7312588723575947e+08 1.7284603435567260e+08 1.7251183168482369e+08 1.7211733264062792e+08 1.7165341326959053e+08 1.7110898194567180e+08 1.7047128024727067e+08 1.6972581220915568e+08 1.6885621969287273e+08 1.6784419082091844e+08 1.6666942974742889e+08 1.6530972858070734e+08 1.6374114969431311e+08 1.6193841688240612e+08 1.5987554098682445e+08 1.5752678728054458e+08 1.5486799438981038e+08 1.5164198207327926e+08 1.4801563566217116e+08 1.4398173516504490e+08 1.3954837429082656e+08 1.3474278620450312e+08 1.2961411204125728e+08 1.2423414482523985e+08 1.1869514523201966e+08 1.1310437906490028e+08 1.0757495652638420e+08 1.0221529098402934e+08 9.7121126269219428e+07 9.2368244818663806e+07 8.8002305194300935e+07 8.4043170481346309e+07 8.0490394469217896e+07 7.7325985453954265e+07 7.4522447158884451e+07 7.2046580844103560e+07 6.9866592206333190e+07 6.7949656613157973e+07 6.6268727412675522e+07 6.4796784181551099e+07 6.3514124342866704e+07 6.2400175855741844e+07 6.1437511240877479e+07 6.0612622060602717e+07 5.9910853042634763e+07 5.9318045940665953e+07 5.8823946860760167e+07 5.8415547854284719e+07 5.8083642579262979e+07 5.7817472759795837e+07 5.7607923771871649e+07 5.7442483736095682e+07 5.7308890150133468e+07 5.7198193523822315e+07 5.7101788026894778e+07 5.7011049309588231e+07 5.6946913718461335e+07 5.6882178756076649e+07 5.6816136746424519e+07 5.6746968146018520e+07 5.6675614774751827e+07 5.6600010446263894e+07 5.6522770157483570e+07 5.6436898280871950e+07 5.6344997073499091e+07 5.6245375444556370e+07 5.6136712862938844e+07 5.6017404660540611e+07 5.5885643143230528e+07 5.5738817041473895e+07 5.5577314992235653e+07 5.5394906301295452e+07 5.5190394358141676e+07 5.4960811719927847e+07 5.4702964944318034e+07 5.4413560773941383e+07 5.4089295934506267e+07 5.3726503582404554e+07 5.3325766266009711e+07 5.2879945102826543e+07 5.2390625868340954e+07 5.1858940488915868e+07 5.1289059289356686e+07 5.0688077799229093e+07 5.0069501581102930e+07 4.9453415301796220e+07 4.8872818844702423e+07 4.8368977557391196e+07 4.8006760745013826e+07 4.7876447229599662e+07 4.8109287349411473e+07 4.8896230949457362e+07 5.0526642564859435e+07 5.3458584773439787e+07 5.8464054160102911e+07 1.1268497064718546e+07 +1.0126075358452985e+01 1.7416032254005131e+08 1.7414303517277616e+08 1.7411373139137921e+08 1.7407483419913238e+08 1.7403481382792410e+08 1.7400723403273216e+08 1.7399828992072311e+08 1.7399760183184326e+08 1.7399428034370467e+08 1.7398557142089194e+08 1.7397206542508885e+08 1.7395322342757612e+08 1.7392793924357826e+08 1.7389511560372636e+08 1.7385361541280261e+08 1.7380203271623722e+08 1.7373868740875021e+08 1.7366163807050863e+08 1.7356861508409375e+08 1.7345693184903508e+08 1.7332343389170495e+08 1.7316433793125078e+08 1.7297432881225184e+08 1.7274425157650700e+08 1.7246460944566956e+08 1.7213065936750767e+08 1.7173646161679402e+08 1.7127290158319917e+08 1.7072889856381392e+08 1.7009170717709041e+08 1.6934684707764497e+08 1.6847797885996202e+08 1.6746681310488898e+08 1.6629308083972400e+08 1.6493460620621425e+08 1.6336748961121261e+08 1.6156649965074709e+08 1.5950569940760973e+08 1.5715941414057344e+08 1.5450355003433764e+08 1.5128128227555799e+08 1.4765939399520746e+08 1.4363076090104640e+08 1.3920356209204546e+08 1.3440509323499787e+08 1.2928452025956990e+08 1.2391360847500627e+08 1.1838452709754691e+08 1.1280438283708474e+08 1.0728606789249010e+08 1.0193773809660308e+08 9.6854860675521120e+07 9.2112950931570366e+07 8.7757453932283595e+07 8.3808076811406910e+07 8.0264274477007732e+07 7.7108016520771325e+07 7.4311810651920602e+07 7.1842495329267263e+07 6.9668324308735564e+07 6.7756536698439419e+07 6.6080141890569940e+07 6.4612182485051632e+07 6.3333001928102277e+07 6.2222080243654720e+07 6.1262034956043325e+07 6.0439392427541144e+07 5.9739536919340514e+07 5.9148348594721548e+07 5.8655600976254128e+07 5.8248322104334749e+07 5.7917330012070067e+07 5.7651895683305554e+07 5.7442928675478660e+07 5.7277950976272583e+07 5.7144733608675107e+07 5.7034350741693072e+07 5.6938219773362115e+07 5.6847740359868832e+07 5.6783788347066469e+07 5.6719238774297141e+07 5.6653385938570738e+07 5.6584415483344793e+07 5.6513266520485625e+07 5.6437878852410875e+07 5.6360859617574051e+07 5.6275233739495829e+07 5.6183595801525041e+07 5.6084259557056911e+07 5.5975908257501408e+07 5.5856941831472576e+07 5.5725557762881711e+07 5.5579152334945999e+07 5.5418112710452817e+07 5.5236226547336243e+07 5.5032300446789108e+07 5.4803375466192551e+07 5.4546267310816921e+07 5.4257692157028064e+07 5.3934356192794144e+07 5.3572603148369662e+07 5.3173013556262411e+07 5.2728469468871526e+07 5.2240551911196433e+07 5.1710389567168906e+07 5.1142140815746881e+07 5.0542880861197598e+07 4.9926076579212904e+07 4.9311755168327354e+07 4.8732821664124079e+07 4.8230423654750846e+07 4.7869244434364714e+07 4.7739304282097876e+07 4.7971477442901969e+07 4.8756166812133096e+07 5.0381908067300677e+07 5.3305451753207296e+07 5.8296582616646670e+07 1.1229168692332655e+07 +1.0131043681227244e+01 1.7377817693326396e+08 1.7376092726528841e+08 1.7373168572400561e+08 1.7369287045898122e+08 1.7365293102519879e+08 1.7362540046262845e+08 1.7361646044102797e+08 1.7361575454780802e+08 1.7361241690916738e+08 1.7360369856880528e+08 1.7359018751918331e+08 1.7357134493896258e+08 1.7354606583604655e+08 1.7351325388090345e+08 1.7347177275792927e+08 1.7342021763510522e+08 1.7335690971130818e+08 1.7327990897854972e+08 1.7318694746923298e+08 1.7307534059035251e+08 1.7294193626911339e+08 1.7278295423568752e+08 1.7259308409418872e+08 1.7236317919893557e+08 1.7208374877554074e+08 1.7175005243352747e+08 1.7135615731688052e+08 1.7089295818099403e+08 1.7034938527621338e+08 1.6971270629459849e+08 1.6896845654609752e+08 1.6810031539414284e+08 1.6709001591462600e+08 1.6591731604087940e+08 1.6456007197603291e+08 1.6299442217813006e+08 1.6119518004787627e+08 1.5913646088833377e+08 1.5679264989400321e+08 1.5413972071577334e+08 1.5092120429881716e+08 1.4730378087280032e+08 1.4328042150334314e+08 1.3885939025167623e+08 1.3406804478785093e+08 1.2895557530456530e+08 1.2359371888860969e+08 1.1807455288827905e+08 1.1250502468434633e+08 1.0699780846649013e+08 1.0166080277510796e+08 9.6589198715321556e+07 9.1858245115927830e+07 8.7513174244310632e+07 8.3573537948414892e+07 8.0038692832617581e+07 7.6890570213218808e+07 7.4101682072991803e+07 7.1638904222534582e+07 6.9470538550271556e+07 6.7563887888204828e+07 6.5892017637933135e+07 6.4428033338515900e+07 6.3152324399527244e+07 6.2044422816930868e+07 6.1086991034001693e+07 6.0266590147764273e+07 5.9568643868688807e+07 5.8979070686104693e+07 5.8487671481652491e+07 5.8081510202542610e+07 5.7751429206314720e+07 5.7486728671956658e+07 5.7278342287610777e+07 5.7113825833330527e+07 5.6980983782088421e+07 5.6870913912567899e+07 5.6775056800262436e+07 5.6684836050902434e+07 5.6621067162246026e+07 5.6556702519921392e+07 5.6491038389375456e+07 5.6422265588369660e+07 5.6351320527376488e+07 5.6276148982484549e+07 5.6199350254782669e+07 5.6113969765619993e+07 5.6022594444697745e+07 5.5923542877442129e+07 5.5815502088628426e+07 5.5696876592030928e+07 5.5565869036874183e+07 5.5419883240007438e+07 5.5259304895388320e+07 5.5077939965317979e+07 5.4874598255714253e+07 5.4646329303116418e+07 5.4389957937850907e+07 5.4102209746472389e+07 5.3779800355826631e+07 5.3419084043519162e+07 5.3020639332749076e+07 5.2577369156860992e+07 5.2090849802885972e+07 5.1562206720438905e+07 5.0995586372188009e+07 5.0398043687626570e+07 4.9783006951344311e+07 4.9170446035524949e+07 4.8593171364617057e+07 4.8092213056998000e+07 4.7732068857626803e+07 4.7602501143068604e+07 4.7834008997295961e+07 4.8616449721271642e+07 5.0237532188338295e+07 5.3152698160817049e+07 5.8129526029817425e+07 1.1189969510201070e+07 +1.0136012004001502e+01 1.7339659248261708e+08 1.7337937751222798e+08 1.7335019909612012e+08 1.7331146528363034e+08 1.7327160670806113e+08 1.7324412533780053e+08 1.7323518945085689e+08 1.7323446584179157e+08 1.7323111214727876e+08 1.7322238449183562e+08 1.7320886850300851e+08 1.7319002547133255e+08 1.7316475159864780e+08 1.7313195149841401e+08 1.7309048963942441e+08 1.7303896231588975e+08 1.7297569203729814e+08 1.7289874021400020e+08 1.7280584053615075e+08 1.7269431042783111e+08 1.7256100022765744e+08 1.7240213268970215e+08 1.7221240219239753e+08 1.7198267042799518e+08 1.7170345266481149e+08 1.7137001119636324e+08 1.7097642004680902e+08 1.7051358336017892e+08 1.6997044237043637e+08 1.6933427787545153e+08 1.6859064087601733e+08 1.6772322954113942e+08 1.6671379947685075e+08 1.6554213555589324e+08 1.6418612607013008e+08 1.6262194754640070e+08 1.6082445819158679e+08 1.5876782550913760e+08 1.5642649457767910e+08 1.5377650642295456e+08 1.5056174807319742e+08 1.4694879616058311e+08 1.4293071676731756e+08 1.3851585848927653e+08 1.3373164050322330e+08 1.2862727673505132e+08 1.2327447554531239e+08 1.1776522200714965e+08 1.1220630394037740e+08 1.0671017752210183e+08 1.0138448424445453e+08 9.6324139576819256e+07 9.1604126534943596e+07 8.7269465278702363e+07 8.3339553034727454e+07 7.9813648679353088e+07 7.6673645679794267e+07 7.3892060579113483e+07 7.1435806691281348e+07 6.9273234109056398e+07 6.7371709371291071e+07 6.5704353853812695e+07 6.4244335950930260e+07 6.2972090974786930e+07 6.1867202801196069e+07 6.0912378707452372e+07 6.0094214460142873e+07 5.9398173134879448e+07 5.8810211463749200e+07 5.8320157629840016e+07 5.7915111405120909e+07 5.7585939421195164e+07 5.7321970987353928e+07 5.7114163871825099e+07 5.6950107572645113e+07 5.6817639937146306e+07 5.6707882304560125e+07 5.6612298376725130e+07 5.6522335653077751e+07 5.6458749435130917e+07 5.6394569264986694e+07 5.6329093371758856e+07 5.6260517734878115e+07 5.6189776070046566e+07 5.6114820112087205e+07 5.6038241345696338e+07 5.5953105636976726e+07 5.5861992281827487e+07 5.5763224685892440e+07 5.5655493637897380e+07 5.5537208225285202e+07 5.5406576249955975e+07 5.5261009043290898e+07 5.5100890835759170e+07 5.4920045846331187e+07 5.4717287078600205e+07 5.4489672527348980e+07 5.4234036125303611e+07 5.3947112845852785e+07 5.3625627731361374e+07 5.3265945580255486e+07 5.2868642913025022e+07 5.2426643489984617e+07 5.1941518872844636e+07 5.1414391285024494e+07 5.0849395302383579e+07 5.0253565629854105e+07 4.9640292056647152e+07 4.9029487270534776e+07 4.8453867320695996e+07 4.7954345145102590e+07 4.7595233400369853e+07 4.7466037199746035e+07 4.7696881396969803e+07 4.8477079051115364e+07 5.0093514281390734e+07 5.3000323312141903e+07 5.7962883651339248e+07 1.1150899131627237e+07 +1.0140980326775761e+01 1.7301556401814583e+08 1.7299838733886570e+08 1.7296927180397037e+08 1.7293061904427105e+08 1.7289084121512729e+08 1.7286340900102231e+08 1.7285447729382384e+08 1.7285373605694249e+08 1.7285036640108538e+08 1.7284162953290567e+08 1.7282810871893921e+08 1.7280926536655277e+08 1.7278399687246490e+08 1.7275120879671440e+08 1.7270976639665279e+08 1.7265826709725416e+08 1.7259503472391120e+08 1.7251813211243784e+08 1.7242529461875600e+08 1.7231384169322279e+08 1.7218062609686136e+08 1.7202187361954245e+08 1.7183228342944217e+08 1.7160272558191401e+08 1.7132372142677027e+08 1.7099053596301439e+08 1.7059725010650930e+08 1.7013477741220075e+08 1.6959207012718886e+08 1.6895642218881607e+08 1.6821340032304621e+08 1.6734672154024193e+08 1.6633816401225466e+08 1.6516753958383709e+08 1.6381276866250357e+08 1.6225006586087871e+08 1.6045433419384387e+08 1.5839979334411031e+08 1.5606094822292116e+08 1.5341390713875279e+08 1.5020291352391678e+08 1.4659443971926501e+08 1.4258164648319256e+08 1.3817296651964587e+08 1.3339588001673457e+08 1.2829962410651208e+08 1.2295587792059371e+08 1.1745653385393824e+08 1.1190821993609400e+08 1.0642317433068208e+08 1.0110878172746184e+08 9.6059682446348399e+07 9.1350594350082338e+07 8.7026326182795376e+07 8.3106121211934909e+07 7.9589141159535602e+07 7.6457242068647996e+07 7.3682945326891884e+07 7.1233201902277723e+07 6.9076410162788823e+07 6.7180000336410433e+07 6.5517149737244450e+07 6.4061089530945599e+07 6.2792300871452540e+07 6.1690419422009021e+07 6.0738197209018074e+07 5.9922264603543602e+07 5.9228123962140866e+07 5.8641770176498801e+07 5.8153058673738204e+07 5.7749124968411595e+07 5.7420859915914848e+07 5.7157621891068444e+07 5.6950392691742733e+07 5.6786795459460787e+07 5.6654701340719223e+07 5.6545255185753003e+07 5.6449943772136740e+07 5.6360238436812267e+07 5.6296834437013507e+07 5.6232838281489730e+07 5.6167550158640705e+07 5.6099171196579993e+07 5.6028632423286811e+07 5.5953891516895220e+07 5.5877532167018183e+07 5.5792640631285965e+07 5.5701788591888085e+07 5.5603304262626611e+07 5.5495882186813794e+07 5.5377936014419794e+07 5.5247678686923847e+07 5.5102529031556651e+07 5.4942869820295982e+07 5.4762543481384903e+07 5.4560366209127814e+07 5.4333404435505487e+07 5.4078501173107997e+07 5.3792400758794151e+07 5.3471837627142571e+07 5.3113187071010970e+07 5.2717023614693679e+07 5.2276291791502632e+07 5.1792558450639941e+07 5.1266942597238824e+07 5.0703566949922927e+07 5.0109446039140321e+07 4.9497931254362091e+07 4.8888878240425467e+07 4.8314908906894490e+07 4.7816819300057508e+07 4.7458737448282450e+07 4.7329911839428596e+07 4.7560094026193269e+07 4.8338054175934039e+07 4.9949853699814275e+07 5.2848326523040280e+07 5.7796654733031265e+07 1.1111957170893013e+07 +1.0145948649550020e+01 1.7263509718121222e+08 1.7261795686740765e+08 1.7258890380823359e+08 1.7255033210539913e+08 1.7251063487736422e+08 1.7248325178871754e+08 1.7247432430732858e+08 1.7247356553014100e+08 1.7247018000734481e+08 1.7246143402820265e+08 1.7244790850292149e+08 1.7242906495987925e+08 1.7240380199231240e+08 1.7237102610989648e+08 1.7232960336293605e+08 1.7227813231107679e+08 1.7221493810206178e+08 1.7213808500340304e+08 1.7204531004468635e+08 1.7193393471202478e+08 1.7180081419939727e+08 1.7164217734517536e+08 1.7145272812180850e+08 1.7122334497312707e+08 1.7094455536827552e+08 1.7061162703408292e+08 1.7021864778920266e+08 1.6975654062183559e+08 1.6921426882160830e+08 1.6857913949779868e+08 1.6783673513639241e+08 1.6697079162485564e+08 1.6596310973555964e+08 1.6479352831770098e+08 1.6343999992117825e+08 1.6187877726075965e+08 1.6008480816073725e+08 1.5803236446177143e+08 1.5569601085544339e+08 1.5305192284083587e+08 1.4984470057054204e+08 1.4624071140446037e+08 1.4223321043634376e+08 1.3783071405310920e+08 1.3306076296016496e+08 1.2797261697006154e+08 1.2263792548652539e+08 1.1714848782528369e+08 1.1161077199964707e+08 1.0613679816123380e+08 1.0083369444537318e+08 9.5795826508904874e+07 9.1097647721911013e+07 8.6783756102807596e+07 8.2873241620763645e+07 7.9365169415150717e+07 7.6241358527388304e+07 7.3474335472714812e+07 7.1031089022268280e+07 6.8880065889083996e+07 6.6988759971965618e+07 6.5330404487204611e+07 6.3878293287230626e+07 6.2612953307131357e+07 6.1514071904930852e+07 6.0564445771422148e+07 5.9750739816811606e+07 5.9058495594802052e+07 5.8473746073312223e+07 5.7986373866181202e+07 5.7583550148745134e+07 5.7256189949602351e+07 5.6993680644807763e+07 5.6787028011104971e+07 5.6623888759223953e+07 5.6492167259643696e+07 5.6383031824307054e+07 5.6287992255790450e+07 5.6198543672610044e+07 5.6135321439204469e+07 5.6071508841659009e+07 5.6006408022960156e+07 5.5938225247404039e+07 5.5867888861779787e+07 5.5793362472645015e+07 5.5717221995399684e+07 5.5632574026372142e+07 5.5541982653859384e+07 5.5443780887912571e+07 5.5336667017089725e+07 5.5219059242561258e+07 5.5089175632690661e+07 5.4944442491530687e+07 5.4785241137871854e+07 5.4605432161697261e+07 5.4403834941116981e+07 5.4177524324375644e+07 5.3923352381244563e+07 5.3638072789049938e+07 5.3318429351110362e+07 5.2960807828351714e+07 5.2565780755315445e+07 5.2126313384800918e+07 5.1643967865886159e+07 5.1119859993533134e+07 5.0558100658534080e+07 4.9965684266941816e+07 4.9355923903826110e+07 4.8748618312425241e+07 4.8176295497865669e+07 4.7679634902926981e+07 4.7322580387029879e+07 4.7194124449523985e+07 4.7423646269356221e+07 4.8199374470029704e+07 4.9806549797042564e+07 5.2696707109456807e+07 5.7630838526786633e+07 1.1073143243257064e+07 +1.0150916972324278e+01 1.7225519007219893e+08 1.7223808665083483e+08 1.7220909546067667e+08 1.7217060481982741e+08 1.7213098802022007e+08 1.7210365403183386e+08 1.7209473082227072e+08 1.7209395459192163e+08 1.7209055329652801e+08 1.7208179830795747e+08 1.7206826818462870e+08 1.7204942458069912e+08 1.7202416728668362e+08 1.7199140376584637e+08 1.7195000086492404e+08 1.7189855828325424e+08 1.7183540249625090e+08 1.7175859920971903e+08 1.7166588713513196e+08 1.7155458980337283e+08 1.7142156485203576e+08 1.7126304418016350e+08 1.7107373657962799e+08 1.7084452890711108e+08 1.7056595479014280e+08 1.7023328470428631e+08 1.6984061338226989e+08 1.6937887326785198e+08 1.6883703872224277e+08 1.6820243005924562e+08 1.6746064555938628e+08 1.6659544002208737e+08 1.6558863685524228e+08 1.6442010194441795e+08 1.6306782000821638e+08 1.6150808187943602e+08 1.5971588019261998e+08 1.5766553892455420e+08 1.5533168249542397e+08 1.5269055350130638e+08 1.4948710912763414e+08 1.4588761106666410e+08 1.4188540840767553e+08 1.3748910079549801e+08 1.3272628896081957e+08 1.2764625487322065e+08 1.2232061771152507e+08 1.1684108331490636e+08 1.1131395945638332e+08 1.0585104828042533e+08 1.0055922161708631e+08 9.5532570947809681e+07 9.0845285809343010e+07 8.6541754183879524e+07 8.2640913401159406e+07 7.9141732587244734e+07 7.6025994203075469e+07 7.3266230172365457e+07 7.0829467217312053e+07 6.8684200465251669e+07 6.6797987466241278e+07 6.5144117302396059e+07 6.3695946428359948e+07 6.2434047499298833e+07 6.1338159475522734e+07 6.0391123627242640e+07 5.9579639338806704e+07 5.8889287277055584e+07 5.8306138403176993e+07 5.7820102460211933e+07 5.7418386202542327e+07 5.7091928781638101e+07 5.6830146510311469e+07 5.6624069093629740e+07 5.6461386737391874e+07 5.6330036960815117e+07 5.6221211488462128e+07 5.6126443097098231e+07 5.6037250631022222e+07 5.5974209713008940e+07 5.5910580217651322e+07 5.5845666237789184e+07 5.5777679161245078e+07 5.5707544660434507e+07 5.5633232255233623e+07 5.5557310107677236e+07 5.5472905100135885e+07 5.5382573746816121e+07 5.5284653842100531e+07 5.5177847410515994e+07 5.5060577192978062e+07 5.4931066372209519e+07 5.4786748709990881e+07 5.4628004077284180e+07 5.4448711178444766e+07 5.4247692568384640e+07 5.4022031490661040e+07 5.3768589049842268e+07 5.3484128240417331e+07 5.3165402211119272e+07 5.2808807164782964e+07 5.2414913652631521e+07 5.1976707593194425e+07 5.1495746448211543e+07 5.0973142810350999e+07 5.0412995771922179e+07 4.9822279664677121e+07 4.9214269364369661e+07 4.8608706853778832e+07 4.8038026468255118e+07 4.7542791334848486e+07 4.7186761602372095e+07 4.7058674417442873e+07 4.7287537510952115e+07 4.8061039307793655e+07 4.9663601926630393e+07 5.2545464387375399e+07 5.7465434284547918e+07 1.1034456964953225e+07 +1.0155885295098537e+01 1.7187584281218213e+08 1.7185877630515245e+08 1.7182984720030367e+08 1.7179143752053121e+08 1.7175190096597636e+08 1.7172461605516100e+08 1.7171569716353095e+08 1.7171490356650734e+08 1.7171148659272879e+08 1.7170272269567499e+08 1.7168918808733419e+08 1.7167034455166826e+08 1.7164509307804522e+08 1.7161234208574849e+08 1.7157095922352985e+08 1.7151954533347887e+08 1.7145642822470921e+08 1.7137967504825708e+08 1.7128702620521650e+08 1.7117580728002524e+08 1.7104287836489481e+08 1.7088447443194547e+08 1.7069530910655630e+08 1.7046627768362454e+08 1.7018791998662704e+08 1.6985550926182604e+08 1.6946314716675043e+08 1.6900177562251738e+08 1.6846038009144256e+08 1.6782629412385228e+08 1.6708513182891661e+08 1.6622066695299873e+08 1.6521474557393527e+08 1.6404726064501998e+08 1.6269622907944411e+08 1.6113797984426793e+08 1.5934755038409281e+08 1.5729931678994343e+08 1.5496796315717846e+08 1.5232979908704379e+08 1.4913013910456896e+08 1.4553513855152336e+08 1.4153824017283502e+08 1.3714812644803926e+08 1.3239245764177023e+08 1.2732053735959135e+08 1.2200395406074379e+08 1.1653431971317060e+08 1.1101778162925808e+08 1.0556592395260622e+08 1.0028536245965235e+08 9.5269914944659069e+07 9.0593507770193458e+07 8.6300319570140257e+07 8.2409135692141593e+07 7.8918829816458225e+07 7.5811148242301792e+07 7.3058628581411809e+07 7.0628335653667390e+07 6.8488813068306342e+07 6.6607682007381387e+07 6.4958287381594799e+07 6.3514048162872195e+07 6.2255582665425807e+07 6.1162681359217271e+07 6.0218230009105779e+07 5.9408962408526763e+07 5.8720498253318220e+07 5.8138946415098004e+07 5.7654243708859056e+07 5.7253632386237964e+07 5.6928075671410985e+07 5.6667018749326766e+07 5.6461515203177504e+07 5.6299288659478411e+07 5.6168309711360402e+07 5.6059793446528390e+07 5.5965295565567411e+07 5.5876358582630411e+07 5.5813498529914089e+07 5.5750051681693248e+07 5.5685324076216385e+07 5.5617532212132759e+07 5.5547599094120264e+07 5.5473500140440606e+07 5.5397795780700006e+07 5.5313633130561739e+07 5.5223561149915420e+07 5.5125922405632570e+07 5.5019422648834288e+07 5.4902489149057098e+07 5.4773350190468736e+07 5.4629446973914146e+07 5.4471157927597746e+07 5.4292379822953582e+07 5.4091938384809822e+07 5.3866925231244721e+07 5.3614210479051456e+07 5.3330566416676588e+07 5.3012755515232421e+07 5.2657184393018603e+07 5.2264421624440536e+07 5.1827473740222886e+07 5.1347893527376443e+07 5.0826790384253137e+07 5.0268251633946471e+07 4.9679231583852381e+07 4.9072966995432630e+07 4.8469143231782436e+07 4.7900101192792252e+07 4.7406287976986371e+07 4.7051280480149195e+07 4.6923561130650043e+07 4.7151767135420717e+07 4.7923048063621715e+07 4.9521009442138970e+07 5.2394597672895737e+07 5.7300441258359827e+07 1.0995897953188974e+07 +1.0160853617872796e+01 1.7149705556707144e+08 1.7148002563853064e+08 1.7145115938567507e+08 1.7141283051236492e+08 1.7137337403489286e+08 1.7134613817790946e+08 1.7133722364974245e+08 1.7133641277196267e+08 1.7133298021367237e+08 1.7132420750907734e+08 1.7131066852810282e+08 1.7129182518928787e+08 1.7126657968202066e+08 1.7123384138508031e+08 1.7119247875280029e+08 1.7114109377477446e+08 1.7107801559946224e+08 1.7100131282951084e+08 1.7090872756325337e+08 1.7079758744843793e+08 1.7066475504224482e+08 1.7050646840146124e+08 1.7031744600023195e+08 1.7008859159596992e+08 1.6981045124608004e+08 1.6947830098865739e+08 1.6908624941742501e+08 1.6862524795225063e+08 1.6808429318557405e+08 1.6745073193652144e+08 1.6671019417590624e+08 1.6584647263262135e+08 1.6484143608815759e+08 1.6367500459469208e+08 1.6232522728536001e+08 1.6076847127679905e+08 1.5897981882379836e+08 1.5693369810900578e+08 1.5460485285005462e+08 1.5196965955913299e+08 1.4877379040527737e+08 1.4518329369924998e+08 1.4119170550307417e+08 1.3680779070754492e+08 1.3205926862210244e+08 1.2699546396868630e+08 1.2168793399563944e+08 1.1622819640744990e+08 1.1072223783818161e+08 1.0528142444000837e+08 1.0001211618842119e+08 9.5007857679736331e+07 9.0342312760937050e+07 8.6059451404921353e+07 8.2177907632085338e+07 7.8696460242703080e+07 7.5596819791099325e+07 7.2851529855036557e+07 7.0427693496927947e+07 6.8293902875138268e+07 6.6417842783383660e+07 6.4772913923272386e+07 6.3332597699207425e+07 6.2077558022969179e+07 6.0987636781555563e+07 6.0045764149767391e+07 5.9238708264741845e+07 5.8552127767928511e+07 5.7972169358152449e+07 5.7488796865245216e+07 5.7089287956405930e+07 5.6764629878330365e+07 5.6504296623839237e+07 5.6299365603662997e+07 5.6137593791153230e+07 5.6006984778251797e+07 5.5898776966944329e+07 5.5804548930723071e+07 5.5715866798188716e+07 5.5653187161461301e+07 5.5589922506205946e+07 5.5525380811435893e+07 5.5457783674104586e+07 5.5388051437872246e+07 5.5314165404283278e+07 5.5238678291448280e+07 5.5154757395677343e+07 5.5064944142365508e+07 5.4967585858960360e+07 5.4861392013936035e+07 5.4744794394155271e+07 5.4616026372622579e+07 5.4472536570296302e+07 5.4314701977801651e+07 5.4136437386599191e+07 5.3936571684446126e+07 5.3712204843022309e+07 5.3460215969061039e+07 5.3177386621828511e+07 5.2860488571553327e+07 5.2505938825717732e+07 5.2114303988526151e+07 5.1678611149416752e+07 5.1200408433190413e+07 5.0680802051779635e+07 5.0123867588470101e+07 4.9536539376110941e+07 4.8932016156520225e+07 4.8329926813850783e+07 4.7762519046310700e+07 4.7270124210591316e+07 4.6916136406213231e+07 4.6788783976719365e+07 4.7016334527404658e+07 4.7785400112068184e+07 4.9378771697225638e+07 5.2244106282159917e+07 5.7135858700248130e+07 1.0957465826143829e+07 +1.0165821940647055e+01 1.7111882908293459e+08 1.7110183705389920e+08 1.7107303209838793e+08 1.7103478407596526e+08 1.7099540754601389e+08 1.7096822071348575e+08 1.7095931059319448e+08 1.7095848251977381e+08 1.7095503447094640e+08 1.7094625305911934e+08 1.7093270981772152e+08 1.7091386680396515e+08 1.7088862740848339e+08 1.7085590197266528e+08 1.7081455976073411e+08 1.7076320391418850e+08 1.7070016492616373e+08 1.7062351285750362e+08 1.7053099151199836e+08 1.7041993060917041e+08 1.7028719518166026e+08 1.7012902638360885e+08 1.6994014755193374e+08 1.6971147093139467e+08 1.6943354885041204e+08 1.6910166016080791e+08 1.6870992040273371e+08 1.6824929051706645e+08 1.6770877825486264e+08 1.6707574373519158e+08 1.6633583282518822e+08 1.6547285726996118e+08 1.6446870858812946e+08 1.6330333396221054e+08 1.6195481477025515e+08 1.6039955629290906e+08 1.5861268559498960e+08 1.5656868292759085e+08 1.5424235157729936e+08 1.5161013487382904e+08 1.4841806292871204e+08 1.4483207634554574e+08 1.4084580416469324e+08 1.3646809326642630e+08 1.3172672151661022e+08 1.2667103423656900e+08 1.2137255697438429e+08 1.1592271278214025e+08 1.1042732740065235e+08 1.0499754900237334e+08 9.9739482016693994e+07 9.4746398331588686e+07 9.0091699936891273e+07 8.5819148830219582e+07 8.1947228358476534e+07 7.8474623005329177e+07 7.5383007995258868e+07 7.2644933147981495e+07 7.0227539912637040e+07 6.8099469062532946e+07 6.6228468982075997e+07 6.4587996126029253e+07 6.3151594245726652e+07 6.1899972789271653e+07 6.0813024967995733e+07 5.9873725281815976e+07 5.9068876146518022e+07 5.8384175065280497e+07 5.7805806481504396e+07 5.7323761182482705e+07 5.6925352169634342e+07 5.6601590661867082e+07 5.6341979395734645e+07 5.6137619559096493e+07 5.5976301398083985e+07 5.5846061428780794e+07 5.5738161318156861e+07 5.5644202462288946e+07 5.5555774548509039e+07 5.5493274879207402e+07 5.5430191963618584e+07 5.5365835716769777e+07 5.5298432821400121e+07 5.5228900966748208e+07 5.5155227322790787e+07 5.5079956916932955e+07 5.4996277173640482e+07 5.4906722003509454e+07 5.4809643482679963e+07 5.4703754787832215e+07 5.4587492211848229e+07 5.4459094203820959e+07 5.4316016786144972e+07 5.4158635517026380e+07 5.3980883160836607e+07 5.3781591761376165e+07 5.3557869623068951e+07 5.3306604820233256e+07 5.3024588159891494e+07 5.2708600688156478e+07 5.2355069775767587e+07 5.1964560062857993e+07 5.1530119144458093e+07 5.1053290495563023e+07 5.0535177149718657e+07 4.9979842979595065e+07 4.9394202393077716e+07 4.8791416207239293e+07 4.8191056967430197e+07 4.7625279403696515e+07 4.7134299417027295e+07 4.6781328766529284e+07 4.6654342343289614e+07 4.6881239071513154e+07 4.7648094827712782e+07 4.9236888045646973e+07 5.2093989531394474e+07 5.6971685862539791e+07 1.0919160202967698e+07 +1.0170790263421313e+01 1.7074116453033054e+08 1.7072420814204413e+08 1.7069546552271429e+08 1.7065729848523998e+08 1.7061800181590793e+08 1.7059086396916997e+08 1.7058195829997301e+08 1.7058111311540383e+08 1.7057764966999191e+08 1.7056885965090796e+08 1.7055531226076570e+08 1.7053646969964540e+08 1.7051123656090102e+08 1.7047852415108788e+08 1.7043720254925454e+08 1.7038587605254218e+08 1.7032287650433105e+08 1.7024627543044692e+08 1.7015381834752479e+08 1.7004283705615327e+08 1.6991019907495955e+08 1.6975214866706166e+08 1.6956341404692727e+08 1.6933491597060218e+08 1.6905721307544562e+08 1.6872558704770020e+08 1.6833416038530988e+08 1.6787390357105809e+08 1.6733383554327974e+08 1.6670132975280678e+08 1.6596204799582240e+08 1.6509982106783047e+08 1.6409656325862136e+08 1.6293224891093248e+08 1.6158499167233679e+08 1.6003123500262311e+08 1.5824615077492890e+08 1.5620427128607666e+08 1.5388045933707631e+08 1.5125122498175362e+08 1.4806295656850049e+08 1.4448148632088050e+08 1.4050053591941756e+08 1.3612903381236926e+08 1.3139481593595096e+08 1.2634724769537587e+08 1.2105782245175792e+08 1.1561786821859366e+08 1.1013304963150392e+08 1.0471429689728040e+08 9.9467459155889660e+07 9.4485536077157497e+07 8.9841668452073276e+07 8.5579410987260208e+07 8.1717097008105353e+07 7.8253317243109494e+07 7.5169711999883458e+07 7.2438837614706293e+07 7.0027874065923557e+07 6.7905510806992471e+07 6.6039559791192740e+07 6.4403533188128941e+07 6.2971037010765284e+07 6.1722826181722425e+07 6.0638845144059420e+07 5.9702112637971587e+07 5.8899465292826578e+07 5.8216639389905572e+07 5.7639857034323074e+07 5.7159135913842730e+07 5.6761824282649830e+07 5.6438957281703956e+07 5.6180066327132635e+07 5.5976276333600499e+07 5.5815410746093363e+07 5.5685538930186756e+07 5.5577945768779851e+07 5.5484255430034935e+07 5.5396081104483858e+07 5.5333760954948179e+07 5.5270859326466605e+07 5.5206688065609105e+07 5.5139478928245723e+07 5.5070146955935180e+07 5.4996685172178552e+07 5.4921630934329011e+07 5.4838191742681198e+07 5.4748894012734674e+07 5.4652094557517461e+07 5.4546510252601452e+07 5.4430581885687247e+07 5.4302552969376169e+07 5.4159886908677436e+07 5.4002957834542446e+07 5.3825716437264279e+07 5.3626997909710161e+07 5.3403918868482381e+07 5.3153376332965456e+07 5.2872170334943287e+07 5.2557091173419349e+07 5.2204576555987813e+07 5.1815189165445566e+07 5.1381997048997097e+07 5.0906539044420607e+07 5.0389915014798060e+07 4.9836177151237667e+07 4.9252219986495614e+07 4.8651166507226244e+07 4.8052533060065717e+07 4.7488381639886476e+07 4.6998812977639757e+07 4.6646856947189651e+07 4.6520235618111856e+07 4.6746480152545676e+07 4.7511131585236453e+07 4.9095357841195881e+07 5.1944246736953281e+07 5.6807921997490108e+07 1.0880980703779360e+07 +1.0175758586195572e+01 1.7036406075266126e+08 1.7034714079854187e+08 1.7031846023757577e+08 1.7028037402598163e+08 1.7024115715561759e+08 1.7021406824626908e+08 1.7020516706992805e+08 1.7020430485807011e+08 1.7020082610973293e+08 1.7019202758296797e+08 1.7017847615562826e+08 1.7015963417407057e+08 1.7013440743630335e+08 1.7010170821695724e+08 1.7006040741393694e+08 1.7000911048428622e+08 1.6994615062730011e+08 1.6986960084004608e+08 1.6977720835993952e+08 1.6966630707742104e+08 1.6953376700749826e+08 1.6937583553441757e+08 1.6918724576413858e+08 1.6895892698842609e+08 1.6868144419092667e+08 1.6835008191329977e+08 1.6795896962155989e+08 1.6749908736211568e+08 1.6695946528875700e+08 1.6632749021530586e+08 1.6558883990036213e+08 1.6472736422338247e+08 1.6372500027819771e+08 1.6256174959822759e+08 1.6121575812450460e+08 1.5966350751002342e+08 1.5788021443538022e+08 1.5584046321878719e+08 1.5351917612193406e+08 1.5089292982795268e+08 1.4770847121319863e+08 1.4413152345104939e+08 1.4015590052418283e+08 1.3579061202902442e+08 1.3106355148668800e+08 1.2602410387330468e+08 1.2074372987907986e+08 1.1531366209510365e+08 1.0983940384292436e+08 1.0443166738023059e+08 9.9196046815710112e+07 9.4225270092098191e+07 8.9592217459346503e+07 8.5340237016325891e+07 8.1487512716996625e+07 7.8032542094103307e+07 7.4956930949727282e+07 7.2233242409257874e+07 6.9828695121871978e+07 6.7712027284767076e+07 6.5851114398331985e+07 6.4219524307936728e+07 6.2790925202657409e+07 6.1546117417707853e+07 6.0465096535239294e+07 5.9530925451045312e+07 5.8730474942748703e+07 5.8049519986320473e+07 5.7474320265929870e+07 5.6994920312591866e+07 5.6598703552216671e+07 5.6276728997550830e+07 5.6018556680160582e+07 5.5815335191319220e+07 5.5654921101141475e+07 5.5525416549929179e+07 5.5418129587529831e+07 5.5324707103787556e+07 5.5236785737132311e+07 5.5174644660508201e+07 5.5111923867405728e+07 5.5047937131411180e+07 5.4980921269057266e+07 5.4911788680813149e+07 5.4838538228689671e+07 5.4763699620848879e+07 5.4680500381138228e+07 5.4591459449565113e+07 5.4494938364249036e+07 5.4389657690405525e+07 5.4274062699400961e+07 5.4146401954666615e+07 5.4004146225151263e+07 5.3847668219642878e+07 5.3670936507530063e+07 5.3472789423829995e+07 5.3250351876466073e+07 5.3000529807776183e+07 5.2720132451242894e+07 5.2405959335605532e+07 5.2054458479481310e+07 5.1666190614388399e+07 5.1234244186900452e+07 5.0760153409928121e+07 5.0245014983898230e+07 4.9692869447673798e+07 4.9110591508264646e+07 4.8511266416274130e+07 4.7914354459459759e+07 4.7351825129989803e+07 4.6863664273999445e+07 4.6512720334282622e+07 4.6386463188928314e+07 4.6612057155277692e+07 4.7374509759389646e+07 4.8954180437812649e+07 5.1794877215254761e+07 5.6644566357529990e+07 1.0842926949664805e+07 +1.0180726908969831e+01 1.6998751970039138e+08 1.6997063564387244e+08 1.6994201687177184e+08 1.6990401099495178e+08 1.6986487386674505e+08 1.6983783383971882e+08 1.6982893719688651e+08 1.6982805804066896e+08 1.6982456408312479e+08 1.6981575714807829e+08 1.6980220179435933e+08 1.6978336051887292e+08 1.6975814032584670e+08 1.6972545446053693e+08 1.6968417464421678e+08 1.6963290749780375e+08 1.6956998758215898e+08 1.6949348937192422e+08 1.6940116183302987e+08 1.6929034095470217e+08 1.6915789925862831e+08 1.6900008726187292e+08 1.6881164297636247e+08 1.6858350425364175e+08 1.6830624246038538e+08 1.6797514501485619e+08 1.6758434836168545e+08 1.6712484213203424e+08 1.6658566772320691e+08 1.6595422534332249e+08 1.6521620874575189e+08 1.6435548692767349e+08 1.6335401981948653e+08 1.6219183617521191e+08 1.6084711425343052e+08 1.5929637391380551e+08 1.5751487664246160e+08 1.5547725875507855e+08 1.5315850191907513e+08 1.5053524935271052e+08 1.4735460674619198e+08 1.4378218755666211e+08 1.3981189773116511e+08 1.3545282759533358e+08 1.3073292777137682e+08 1.2570160229527222e+08 1.2043027870421703e+08 1.1501009378706519e+08 1.0954638934451331e+08 1.0414965970437184e+08 9.8925244203867406e+07 9.3965599550471440e+07 8.9343346110259920e+07 8.5101626056650698e+07 8.1258474620496988e+07 7.7812296696054548e+07 7.4744663989167005e+07 7.2028146685615107e+07 6.9630002245176733e+07 6.7519017672076777e+07 6.5663131990979850e+07 6.4035968683742799e+07 6.2611258029627725e+07 6.1369845714597769e+07 6.0291778367125027e+07 5.9360162953734264e+07 5.8561904335393347e+07 5.7882816099112526e+07 5.7309195425668061e+07 5.6831113632274538e+07 5.6435989235273637e+07 5.6114905069227844e+07 5.5857449717131563e+07 5.5654795396615364e+07 5.5494831729212977e+07 5.5365693555470742e+07 5.5258712043159656e+07 5.5165556753575101e+07 5.5077887717561804e+07 5.5015925267787553e+07 5.4953384859211631e+07 5.4889582187800035e+07 5.4822759118311003e+07 5.4753825416666903e+07 5.4680785768665209e+07 5.4606162253838018e+07 5.4523202367472693e+07 5.4434417593624063e+07 5.4338174183760695e+07 5.4233196383571282e+07 5.4117933936816506e+07 5.3990640445190214e+07 5.3848794022969224e+07 5.3692765961812422e+07 5.3516542663406141e+07 5.3318965598045543e+07 5.3097167944400586e+07 5.2848064545305789e+07 5.2568473813087270e+07 5.2255204483249813e+07 5.1904714859291680e+07 5.1517563727980256e+07 5.1086859882082537e+07 5.0614132922213443e+07 5.0100476394046955e+07 4.9549919213142842e+07 4.8969316310337737e+07 4.8371715294241711e+07 4.7776520533286959e+07 4.7215609249175325e+07 4.6728852687710479e+07 4.6378918314075910e+07 4.6253024443689376e+07 4.6477969464666992e+07 4.7238228725074165e+07 4.8813355189513274e+07 5.1645880282854877e+07 5.6481618195178375e+07 1.0804998562675666e+07 +1.0185695231744090e+01 1.6961153873754531e+08 1.6959469322323912e+08 1.6956613541693541e+08 1.6952820968245476e+08 1.6948915223966688e+08 1.6946216103836635e+08 1.6945326896831965e+08 1.6945237295018736e+08 1.6944886387705424e+08 1.6944004863238963e+08 1.6942648946299228e+08 1.6940764901974988e+08 1.6938243551447630e+08 1.6934976316590205e+08 1.6930850452337146e+08 1.6925726737541404e+08 1.6919438764990032e+08 1.6911794130558705e+08 1.6902567904444596e+08 1.6891493896350256e+08 1.6878259610139766e+08 1.6862490411955807e+08 1.6843660595032379e+08 1.6820864802859715e+08 1.6793160814117011e+08 1.6760077660371652e+08 1.6721029684972683e+08 1.6675116811654791e+08 1.6621244307271367e+08 1.6558153535110310e+08 1.6484415473265001e+08 1.6398418936574644e+08 1.6298362204928246e+08 1.6182250878770557e+08 1.6047906018027076e+08 1.5892983430675495e+08 1.5715013745652008e+08 1.5511465791831079e+08 1.5279843671022385e+08 1.5017818349095917e+08 1.4700136304602653e+08 1.4343347845355335e+08 1.3946852728823167e+08 1.3511568018601799e+08 1.3040294438852978e+08 1.2537974248192406e+08 1.2011746837194550e+08 1.1470716266679828e+08 1.0925400544333053e+08 1.0386827312069924e+08 9.8655050526366755e+07 9.3706523624853417e+07 8.9095053555257767e+07 8.4863577246632069e+07 8.1029981852968395e+07 7.7592580185979262e+07 7.4532910262096196e+07 7.1823549597137943e+07 6.9431794600275189e+07 6.7326481144996881e+07 6.5475611756541461e+07 6.3852865513765380e+07 6.2432034699986167e+07 6.1194010289761201e+07 6.0118889865241051e+07 5.9189824378949523e+07 5.8393752709913425e+07 5.7716526972968183e+07 5.7144481763010785e+07 5.6667715126373112e+07 5.6273680588744082e+07 5.5953484756649733e+07 5.5696744700452909e+07 5.5494656213948883e+07 5.5335141896444038e+07 5.5206369214431621e+07 5.5099692404647201e+07 5.5006803649494082e+07 5.4919386317055747e+07 5.4857602048871532e+07 5.4795241574759409e+07 5.4731622508561023e+07 5.4664991750618808e+07 5.4596256439106598e+07 5.4523427068666048e+07 5.4449018110835187e+07 5.4366296980277695e+07 5.4277767724706896e+07 5.4181801297115169e+07 5.4077125614519969e+07 5.3962194881879449e+07 5.3835267726611510e+07 5.3693829589611195e+07 5.3538250350583658e+07 5.3362534196809620e+07 5.3165525726905115e+07 5.2944366369691171e+07 5.2695979846256092e+07 5.2417193724943236e+07 5.2104825924940996e+07 5.1755345008699492e+07 5.1369307824528426e+07 5.0939843458621651e+07 5.0468476911612228e+07 4.9956298582296863e+07 4.9407325792048104e+07 4.8828393744762659e+07 4.8232512501088709e+07 4.7639030649450973e+07 4.7079733372631587e+07 4.6594377600443162e+07 4.6245450272898652e+07 4.6119918770370021e+07 4.6344216465736739e+07 4.7102287857255347e+07 4.8672881450442150e+07 5.1497255256369449e+07 5.6319076763107650e+07 1.0767195165827582e+07 +1.0190663554518348e+01 1.6923612111887830e+08 1.6921931196161762e+08 1.6919081569743344e+08 1.6915297036757523e+08 1.6911399255239069e+08 1.6908705012413684e+08 1.6907816266552600e+08 1.6907724986706600e+08 1.6907372577197769e+08 1.6906490231638861e+08 1.6905133944157761e+08 1.6903249995595086e+08 1.6900729328092059e+08 1.6897463461124298e+08 1.6893339732840449e+08 1.6888219039312828e+08 1.6881935110526359e+08 1.6874295691445470e+08 1.6865076026597431e+08 1.6854010137361911e+08 1.6840785780286860e+08 1.6825028637180293e+08 1.6806213494674098e+08 1.6783435856996307e+08 1.6755754148484698e+08 1.6722697692517117e+08 1.6683681532423419e+08 1.6637806554549512e+08 1.6583979155695343e+08 1.6520942044693625e+08 1.6447267805608442e+08 1.6361347171666217e+08 1.6261380712866375e+08 1.6145376757529354e+08 1.6011159602018255e+08 1.5856388877589771e+08 1.5678599693258643e+08 1.5475266072665969e+08 1.5243898047192267e+08 1.4982173217204583e+08 1.4664873998597357e+08 1.4308539595281279e+08 1.3912578893827257e+08 1.3477916947160512e+08 1.3007360093249814e+08 1.2505852395065781e+08 1.1980529832341678e+08 1.1440486810391454e+08 1.0896225144387543e+08 1.0358750687814714e+08 9.8385464987360314e+07 9.3448041486388043e+07 8.8847338943657935e+07 8.4626089723656848e+07 8.0802033548498154e+07 7.7373391700307399e+07 7.4321668912009463e+07 7.1619450297074974e+07 6.9234071351609439e+07 6.7134416879336491e+07 6.5288552882276930e+07 6.3670213996098891e+07 6.2253254421906188e+07 6.1018610360623136e+07 5.9946430255223989e+07 5.9019908959527768e+07 5.8226019305658333e+07 5.7550651852794431e+07 5.6980178527574487e+07 5.6504724048477948e+07 5.6111776869806081e+07 5.5792467319886394e+07 5.5536440892604120e+07 5.5334916907827042e+07 5.5175850869157799e+07 5.5047442794600442e+07 5.4941069941034302e+07 5.4848447061746739e+07 5.4761280806954473e+07 5.4699674275951974e+07 5.4637493287047610e+07 5.4574057367507026e+07 5.4507618440733492e+07 5.4439081023747072e+07 5.4366461405246377e+07 5.4292266469402425e+07 5.4209783498227343e+07 5.4121509122670844e+07 5.4025818985457242e+07 5.3921444665728420e+07 5.3806844818612702e+07 5.3680283084678404e+07 5.3539252212738268e+07 5.3384120675638564e+07 5.3208910399731316e+07 5.3012469105065376e+07 5.2791946449840665e+07 5.2544275011557668e+07 5.2266291491360918e+07 5.1954822969377257e+07 5.1606348240965344e+07 5.1221422222503439e+07 5.0793194240630113e+07 5.0323184708511636e+07 4.9812480885877974e+07 4.9265088528867409e+07 4.8687823163716629e+07 4.8093657396890603e+07 4.7501884175869636e+07 4.6944196875797197e+07 4.6460238394040205e+07 4.6112315597214274e+07 4.5987145557109185e+07 4.6210797543624081e+07 4.6966686531003416e+07 4.8532758574808300e+07 5.1349001452591687e+07 5.6156941314069331e+07 1.0729516383098636e+07 +1.0195631877292607e+01 1.6886126570468128e+08 1.6884449330102527e+08 1.6881605806593475e+08 1.6877829332896546e+08 1.6873939507330176e+08 1.6871250137278369e+08 1.6870361856368530e+08 1.6870268906624600e+08 1.6869915004240713e+08 1.6869031847407502e+08 1.6867675200376058e+08 1.6865791360061046e+08 1.6863271389780462e+08 1.6860006906834337e+08 1.6855885333050212e+08 1.6850767682093373e+08 1.6844487821702471e+08 1.6836853646572161e+08 1.6827640576306710e+08 1.6816582844813281e+08 1.6803368462388209e+08 1.6787623427629974e+08 1.6768823022011051e+08 1.6746063612792698e+08 1.6718404273660266e+08 1.6685374621870431e+08 1.6646390401704681e+08 1.6600553464257842e+08 1.6546771339000085e+08 1.6483788083329719e+08 1.6410177890503660e+08 1.6324333415377831e+08 1.6224457521255893e+08 1.6108561267216679e+08 1.5974472188293612e+08 1.5819853740287626e+08 1.5642245511983109e+08 1.5439126719278705e+08 1.5208013317490047e+08 1.4946589532036147e+08 1.4629673743427509e+08 1.4273793986040887e+08 1.3878368241990101e+08 1.3444329511809355e+08 1.2974489699379173e+08 1.2473794621492143e+08 1.1949376799674572e+08 1.1410320946479838e+08 1.0867112664823250e+08 1.0330736022339074e+08 9.8116486789275751e+07 9.3190152304615006e+07 8.8600201423560888e+07 8.4389162624335930e+07 8.0574628840103880e+07 7.7154730375162989e+07 7.4110939082106724e+07 7.1415847938308597e+07 6.9036831663150415e+07 6.6942824050855123e+07 6.5101954555434480e+07 6.3488013328840710e+07 6.2074916403662920e+07 6.0843645144578859e+07 5.9774398762724012e+07 5.8850415928483017e+07 5.8058703361916170e+07 5.7385189983377174e+07 5.6816284968940757e+07 5.6342139652368091e+07 5.5950277335699715e+07 5.5631852019040033e+07 5.5376537556236297e+07 5.5175576742958546e+07 5.5016957913732216e+07 5.4888913563886799e+07 5.4782843921512112e+07 5.4690486260774441e+07 5.4603570458755948e+07 5.4542141221319526e+07 5.4480139269276336e+07 5.4416886038599066e+07 5.4350638463544600e+07 5.4282298446408927e+07 5.4209888055229522e+07 5.4135906607305050e+07 5.4053661200167015e+07 5.3965641067496166e+07 5.3870226530037820e+07 5.3766152819944546e+07 5.3651883031281263e+07 5.3525685805275090e+07 5.3385061180107430e+07 5.3230376226852730e+07 5.3055670564315163e+07 5.2859795027254187e+07 5.2639907482697561e+07 5.2392949342141174e+07 5.2115766417041823e+07 5.1805194925366223e+07 5.1457723869647458e+07 5.1073906240489602e+07 5.0646911552421480e+07 5.0178255643441059e+07 4.9669022642124824e+07 4.9123206768203117e+07 4.8547603919466086e+07 4.7955149341865592e+07 4.7365080480637752e+07 4.6808999134141080e+07 4.6326434450422667e+07 4.5979513673525847e+07 4.5854704192130744e+07 4.6077712083563112e+07 4.6831424121473297e+07 4.8392985916975431e+07 5.1201118188437164e+07 5.5995211101039700e+07 1.0691961839427717e+07 +1.0200600200066866e+01 1.6848697357761452e+08 1.6847023779717126e+08 1.6844186317735377e+08 1.6840417884164509e+08 1.6836536006403279e+08 1.6833851505306095e+08 1.6832963693178761e+08 1.6832869081607348e+08 1.6832513695691806e+08 1.6831629737354469e+08 1.6830272741722235e+08 1.6828389022111043e+08 1.6825869763176185e+08 1.6822606680307692e+08 1.6818487279467964e+08 1.6813372692288160e+08 1.6807096924807456e+08 1.6799468022061947e+08 1.6790261579509878e+08 1.6779212044460571e+08 1.6766007681963482e+08 1.6750274808541098e+08 1.6731489201885051e+08 1.6708748094705975e+08 1.6681111213581640e+08 1.6648108471740377e+08 1.6609156315437964e+08 1.6563357562558922e+08 1.6509620877970460e+08 1.6446691670658606e+08 1.6373145746261030e+08 1.6287377684472811e+08 1.6187592645034173e+08 1.6071804420644104e+08 1.5937843787219521e+08 1.5783378026349053e+08 1.5605951206203437e+08 1.5403047732372048e+08 1.5172189478529266e+08 1.4911067285524365e+08 1.4594535525421783e+08 1.4239110997811753e+08 1.3844220746699619e+08 1.3410805678726797e+08 1.2941683215867580e+08 1.2441800878478393e+08 1.1918287682654934e+08 1.1380218611319266e+08 1.0838063035580854e+08 1.0302783240100360e+08 9.7848115132671490e+07 9.2932855247965470e+07 8.8353640141917154e+07 8.4152795084224686e+07 8.0347766860283673e+07 7.6936595345921814e+07 7.3900719914971024e+07 7.1212741673492804e+07 6.8840074698895335e+07 6.6751701835168287e+07 6.4915815963114232e+07 6.3306262710114382e+07 6.1897019853502162e+07 6.0669113859106451e+07 5.9602794613431454e+07 5.8681344518836856e+07 5.7891804118125953e+07 5.7220140609754249e+07 5.6652800336940311e+07 5.6179961191937216e+07 5.5789181243780933e+07 5.5471638114545003e+07 5.5217033954137385e+07 5.5016634984208830e+07 5.4858462296728671e+07 5.4730780790293135e+07 5.4625013615462050e+07 5.4532920517034717e+07 5.4446254544142127e+07 5.4385002157449007e+07 5.4323178794670671e+07 5.4260107796031184e+07 5.4194051094038300e+07 5.4125907982993603e+07 5.4053706295450680e+07 5.3979937802325085e+07 5.3897929365079097e+07 5.3810162839343421e+07 5.3715023212316170e+07 5.3611249359922223e+07 5.3497308804178402e+07 5.3371475174399421e+07 5.3231255779585898e+07 5.3077016294060230e+07 5.2902813982839741e+07 5.2707502788364090e+07 5.2488248765976571e+07 5.2242002139152788e+07 5.1965617806774810e+07 5.1655941101921290e+07 5.1309471208353311e+07 5.0926759197182395e+07 5.0500994718412884e+07 5.0033689047084346e+07 4.9525923188506939e+07 4.8981679854783870e+07 4.8407735364512727e+07 4.7816987696342669e+07 4.7228618931945853e+07 4.6674139523299284e+07 4.6192965151622601e+07 4.5847043888547227e+07 4.5722594063765928e+07 4.5944959470971704e+07 4.6696500004005827e+07 4.8253562831429444e+07 5.1053604780910097e+07 5.5833885377085648e+07 1.0654531160712896e+07 +1.0205568522841125e+01 1.6811324368134192e+08 1.6809654492171186e+08 1.6806823171520236e+08 1.6803062716839743e+08 1.6799188778294167e+08 1.6796509142775461e+08 1.6795621803281695e+08 1.6795525537923956e+08 1.6795168677781337e+08 1.6794283927681598e+08 1.6792926594369131e+08 1.6791043007835421e+08 1.6788524474334300e+08 1.6785262807526764e+08 1.6781145597971788e+08 1.6776034095674872e+08 1.6769762445491460e+08 1.6762138843420321e+08 1.6752939061560613e+08 1.6741897761433369e+08 1.6728703463868594e+08 1.6712982804489049e+08 1.6694212058570883e+08 1.6671489326540375e+08 1.6643874991576967e+08 1.6610899264858297e+08 1.6571979295646656e+08 1.6526218870635328e+08 1.6472527792816177e+08 1.6409652825750625e+08 1.6336171390579692e+08 1.6250479995093325e+08 1.6150786098539782e+08 1.6035106230054075e+08 1.5901274408639467e+08 1.5746961742796999e+08 1.5569716779762197e+08 1.5367029112127805e+08 1.5136426526338652e+08 1.4875606469054428e+08 1.4559459330412281e+08 1.4204490610212818e+08 1.3810136380888698e+08 1.3377345413658719e+08 1.2908940600992450e+08 1.2409871116646218e+08 1.1887262424452758e+08 1.1350179740992828e+08 1.0809076186356831e+08 1.0274892265350877e+08 9.7580349216648757e+07 9.2676149483156174e+07 8.8107654244647920e+07 8.3916986238167197e+07 8.0121446740968525e+07 7.6718985747610658e+07 7.3691010553100154e+07 7.1010130655042171e+07 6.8643799622587681e+07 6.6561049407764137e+07 6.4730136292437226e+07 6.3124961337997936e+07 6.1719563979654334e+07 6.0495015721701704e+07 5.9431617033178754e+07 5.8512693963694356e+07 5.7725320813884005e+07 5.7055502977030434e+07 5.6489723881506503e+07 5.6018187921168730e+07 5.5628487851558968e+07 5.5311824866793789e+07 5.5057929349248692e+07 5.4858090896543697e+07 5.4700363284866549e+07 5.4573043741992913e+07 5.4467578292282343e+07 5.4375749101172112e+07 5.4289332334909342e+07 5.4228256356975690e+07 5.4166611136741884e+07 5.4103721914048053e+07 5.4037855607384816e+07 5.3969908909593649e+07 5.3897915403003424e+07 5.3824359332632713e+07 5.3742587272094041e+07 5.3655073718531713e+07 5.3560208313821174e+07 5.3456733568643659e+07 5.3343121421783328e+07 5.3217650478164062e+07 5.3077835299259834e+07 5.2924040167499036e+07 5.2750339947787873e+07 5.2555591683454014e+07 5.2336969597684130e+07 5.2091432703884035e+07 5.1815844965587474e+07 5.1507060808110580e+07 5.1161589570787035e+07 5.0779980411507092e+07 5.0355443063171931e+07 4.9889484250256114e+07 4.9383181862592436e+07 4.8840507133547492e+07 4.8268216851317108e+07 4.7679171820773460e+07 4.7092498898122296e+07 4.6539617418978438e+07 4.6059829879829101e+07 4.5714905629092887e+07 4.5590814560464524e+07 4.5812539091275543e+07 4.6561913554059058e+07 4.8114488672820836e+07 5.0906460547198974e+07 5.5672963395405367e+07 1.0617223973809859e+07 +1.0210536845615383e+01 1.6774007899596730e+08 1.6772341527009535e+08 1.6769516378602660e+08 1.6765763857078353e+08 1.6761897848642969e+08 1.6759223075259742e+08 1.6758336212357363e+08 1.6758238301210845e+08 1.6757879976140222e+08 1.6756994443987107e+08 1.6755636783874321e+08 1.6753753342761952e+08 1.6751235548686594e+08 1.6747975313871956e+08 1.6743860313862380e+08 1.6738751917431059e+08 1.6732484408806702e+08 1.6724866135582730e+08 1.6715673047187099e+08 1.6704640020267254e+08 1.6691455832397324e+08 1.6675747439467049e+08 1.6656991615701997e+08 1.6634287331573147e+08 1.6606695630378312e+08 1.6573747023366475e+08 1.6534859363753822e+08 1.6489137409078997e+08 1.6435492103144622e+08 1.6372671567083144e+08 1.6299254840616339e+08 1.6213640362831870e+08 1.6114037895559445e+08 1.5998466707129616e+08 1.5864764061792937e+08 1.5710604896104911e+08 1.5533542235904557e+08 1.5331070858195046e+08 1.5100724456426075e+08 1.4840207073521963e+08 1.4524445143738562e+08 1.4169932802457878e+08 1.3776115117047375e+08 1.3343948681944144e+08 1.2876261812589452e+08 1.2378005286269614e+08 1.1856300967862438e+08 1.1320204271284562e+08 1.0780152046622533e+08 1.0247063022143921e+08 9.7313188238286108e+07 9.2420034175678268e+07 8.7862242876456663e+07 8.3681735220084578e+07 7.9895667613158062e+07 7.6501900714646757e+07 7.3481810138424471e+07 7.0808014034948424e+07 6.8448005597750157e+07 6.6370865944006734e+07 6.4544914730410129e+07 6.2944108410508692e+07 6.1542547990393259e+07 6.0321349949882850e+07 5.9260865247826561e+07 5.8344463496325731e+07 5.7559252688765228e+07 5.6891276330404736e+07 5.6327054852652237e+07 5.5856819094220951e+07 5.5468196416680992e+07 5.5152411536338910e+07 5.4899223004657611e+07 5.4699943745074645e+07 5.4542660144920595e+07 5.4415701687368430e+07 5.4310537221675791e+07 5.4218971284051970e+07 5.4132803102971867e+07 5.4071903092655256e+07 5.4010435568997003e+07 5.3947727667068020e+07 5.3882051278930649e+07 5.3814300502422296e+07 5.3742514655078314e+07 5.3669170476290502e+07 5.3587634200453952e+07 5.3500372985513002e+07 5.3405781116328105e+07 5.3302604729228668e+07 5.3189320168761283e+07 5.3064211003021307e+07 5.2924799027266130e+07 5.2771447137370355e+07 5.2598247751730531e+07 5.2404061007709324e+07 5.2186069275949530e+07 5.1941240337739550e+07 5.1666447198544696e+07 5.1358553353221655e+07 5.1014078270850435e+07 5.0633569202396482e+07 5.0210255911378317e+07 4.9745640583901115e+07 4.9240798002135061e+07 4.8699687949447878e+07 4.8129047732652023e+07 4.7541701075743824e+07 4.6956719747662432e+07 4.6405432197063789e+07 4.5927028017352439e+07 4.5583098282063000e+07 4.5459365070856929e+07 4.5680450330147125e+07 4.6427664147200070e+07 4.7975762795874164e+07 5.0759684804574706e+07 5.5512444409410700e+07 1.0580039906530254e+07 +1.0215505168389642e+01 1.6736747627487445e+08 1.6735084933022523e+08 1.6732265907262826e+08 1.6728521332662603e+08 1.6724663242775354e+08 1.6721993327763450e+08 1.6721106945482919e+08 1.6721007396520922e+08 1.6720647615811473e+08 1.6719761311264846e+08 1.6718403335198808e+08 1.6716520051789734e+08 1.6714003011110586e+08 1.6710744224114740e+08 1.6706631451833126e+08 1.6701526182162738e+08 1.6695262839231628e+08 1.6687649922864574e+08 1.6678463560529879e+08 1.6667438844903624e+08 1.6654264811251867e+08 1.6638568736888972e+08 1.6619827896325725e+08 1.6597142132409227e+08 1.6569573152142486e+08 1.6536651768792805e+08 1.6497796540586814e+08 1.6452113197892568e+08 1.6398513827991778e+08 1.6335747912530804e+08 1.6262396112928230e+08 1.6176858802678746e+08 1.6077348049292409e+08 1.5961885862985310e+08 1.5828312755390993e+08 1.5674307492199349e+08 1.5497427577383658e+08 1.5295172969661200e+08 1.5065083263810503e+08 1.4804869089308783e+08 1.4489492950236994e+08 1.4135437553266221e+08 1.3742156927221614e+08 1.3310615448494165e+08 1.2843646808132158e+08 1.2346203337264884e+08 1.1825403255417153e+08 1.1290292137716947e+08 1.0751290545573673e+08 1.0219295434308064e+08 9.7046631393032312e+07 9.2164508489604861e+07 8.7617405181069449e+07 8.3447041163032383e+07 7.9670428607424170e+07 7.6285339381052002e+07 7.3273117812636480e+07 7.0606390965222999e+07 6.8252691787722856e+07 6.6181150619246073e+07 6.4360150464045689e+07 6.2763703125720069e+07 6.1365971094027251e+07 6.0148115761261404e+07 5.9090538483248390e+07 5.8176652350068375e+07 5.7393598982597813e+07 5.6727459915241465e+07 5.6164792500487588e+07 5.5695853965349957e+07 5.5308306196935870e+07 5.4993397384038568e+07 5.4740914183559544e+07 5.4542192795111381e+07 5.4385352143997349e+07 5.4258753894892931e+07 5.4153889673422143e+07 5.4062586336595155e+07 5.3976666120483898e+07 5.3915941637425296e+07 5.3854651365235239e+07 5.3792124329733595e+07 5.3726637384124309e+07 5.3659082037859827e+07 5.3587503328968391e+07 5.3514370511711247e+07 5.3433069429638408e+07 5.3346059920879558e+07 5.3251740901699409e+07 5.3148862124969751e+07 5.3035904329896763e+07 5.2911156035364613e+07 5.2772146252066001e+07 5.2619236494086765e+07 5.2446536687361725e+07 5.2252910056547560e+07 5.2035547099079311e+07 5.1791424342285417e+07 5.1517423810936622e+07 5.1210418046636552e+07 5.0866936622596525e+07 5.0487524889056563e+07 5.0065432587854080e+07 4.9602157379117817e+07 4.9098770945048451e+07 4.8559221647709392e+07 4.7990227361291848e+07 4.7404574821956910e+07 4.6821280849115506e+07 4.6271583233521447e+07 4.5794558946614161e+07 4.5451621234568737e+07 4.5328244983649418e+07 4.5548692573306821e+07 4.6293751159130327e+07 4.7837384555476189e+07 5.0613276870540880e+07 5.5352327672608934e+07 1.0542978587640081e+07 +1.0220473491163901e+01 1.6699543729362890e+08 1.6697884650011855e+08 1.6695071754020044e+08 1.6691335171419993e+08 1.6687484985669410e+08 1.6684819924703369e+08 1.6683934027145863e+08 1.6683832848320401e+08 1.6683471621232677e+08 1.6682584553922731e+08 1.6681226272711924e+08 1.6679343159227365e+08 1.6676826885840467e+08 1.6673569562423435e+08 1.6669459035949051e+08 1.6664356913855088e+08 1.6658097760613605e+08 1.6650490228966483e+08 1.6641310625151929e+08 1.6630294258656096e+08 1.6617130423521364e+08 1.6601446719535613e+08 1.6582720922932109e+08 1.6560053751119402e+08 1.6532507578412071e+08 1.6499613522108993e+08 1.6460790846385086e+08 1.6415146256498706e+08 1.6361592985804498e+08 1.6298881879403022e+08 1.6225595223488155e+08 1.6140135329079345e+08 1.6040716572365239e+08 1.5925363708168584e+08 1.5791920497544113e+08 1.5638069536423641e+08 1.5461372806371903e+08 1.5259335445100713e+08 1.5029502942932725e+08 1.4769592506284180e+08 1.4454602734269491e+08 1.4101004840861389e+08 1.3708261782990900e+08 1.3277345677780966e+08 1.2811095544703946e+08 1.2314465219199960e+08 1.1794569229295659e+08 1.1260443275520813e+08 1.0722491612190744e+08 1.0191589425473523e+08 9.6780677874800920e+07 9.1909571587692365e+07 8.7373140301001161e+07 8.3212903199156180e+07 7.9445728853628844e+07 7.6069300880366921e+07 7.3064932717120066e+07 7.0405260597402409e+07 6.8057857355828524e+07 6.5991902608678542e+07 6.4175842680236980e+07 6.2583744681637235e+07 6.1189832498899318e+07 5.9975312373567976e+07 5.8920635965545319e+07 5.8009259758267716e+07 5.7228358935193822e+07 5.6564052977025561e+07 5.6002936075460806e+07 5.5535291789038122e+07 5.5148816450302877e+07 5.4834781670733832e+07 5.4583002149419986e+07 5.4384837312125631e+07 5.4228438549231037e+07 5.4102199633221067e+07 5.3997634917490318e+07 5.3906593530002974e+07 5.3820920659684129e+07 5.3760371264307901e+07 5.3699257799402364e+07 5.3636911176795043e+07 5.3571613198619306e+07 5.3504252792532772e+07 5.3432880702303343e+07 5.3359958717362896e+07 5.3278892239209056e+07 5.3192133805389121e+07 5.3098086951965518e+07 5.2995505039247721e+07 5.2882873190123834e+07 5.2758484861797489e+07 5.2619876262101695e+07 5.2467407528165765e+07 5.2295206047633700e+07 5.2102138125364028e+07 5.1885402365479745e+07 5.1641984019297473e+07 5.1368774108212516e+07 5.1062654197980054e+07 5.0720163940224700e+07 5.0341846790780783e+07 4.9920972417665415e+07 4.9459033967154905e+07 4.8957100029327177e+07 4.8419107573561423e+07 4.7851755090268426e+07 4.7267792420364805e+07 4.6686181571262926e+07 4.6138069904574178e+07 4.5662422050217807e+07 4.5320473873749956e+07 4.5197453687740542e+07 4.5417265206684701e+07 4.6160173965730287e+07 4.7699353306683034e+07 5.0467236062717982e+07 5.5192612438764036e+07 1.0506039646858107e+07 +1.0225441813938160e+01 1.6662396388816902e+08 1.6660740835502377e+08 1.6657933964078647e+08 1.6654205397604528e+08 1.6650363101637995e+08 1.6647702889836293e+08 1.6646817481226370e+08 1.6646714680473876e+08 1.6646352016239297e+08 1.6645464195769814e+08 1.6644105620180693e+08 1.6642222688811564e+08 1.6639707196547097e+08 1.6636451352403429e+08 1.6632343089742482e+08 1.6627244135897020e+08 1.6620989196258372e+08 1.6613387077027401e+08 1.6604214263989621e+08 1.6593206284296900e+08 1.6580052691704449e+08 1.6564381409648260e+08 1.6545670717360896e+08 1.6523022209157878e+08 1.6495498930134660e+08 1.6462632303657624e+08 1.6423842300831386e+08 1.6378236603701127e+08 1.6324729594440717e+08 1.6262073484416288e+08 1.6188852187687626e+08 1.6103469955888748e+08 1.6004143476837486e+08 1.5888900252644929e+08 1.5755587295856267e+08 1.5601891033598772e+08 1.5425377924529234e+08 1.5223558282541865e+08 1.4993983487764695e+08 1.4734377313821957e+08 1.4419774479699874e+08 1.4066634643020168e+08 1.3674429655523938e+08 1.3244139333892699e+08 1.2778607978988640e+08 1.2282790881264447e+08 1.1763798831369700e+08 1.1230657619649817e+08 1.0693755175200585e+08 1.0163944919076395e+08 9.6515326875668660e+07 9.1655222631151468e+07 8.7129447377876997e+07 8.2979320460032195e+07 7.9221567481033906e+07 7.5853784345701352e+07 7.2857253992776141e+07 7.0204622082987368e+07 6.7863501465139538e+07 6.5803121087395079e+07 6.3991990565928750e+07 6.2404232276366435e+07 6.1014131413387887e+07 5.9802939004500598e+07 5.8751156920772254e+07 5.7842284954468794e+07 5.7063531786627904e+07 5.6401054761333555e+07 5.5841484827952497e+07 5.5375131819845758e+07 5.4989726434868068e+07 5.4676563657533638e+07 5.4425486165746294e+07 5.4227876561710283e+07 5.4071918628010347e+07 5.3946038171227008e+07 5.3841772224019863e+07 5.3750992135579400e+07 5.3665565993067577e+07 5.3605191246708706e+07 5.3544254145523757e+07 5.3482087483166337e+07 5.3416977998257302e+07 5.3349812043102458e+07 5.3278646052721255e+07 5.3205934371916629e+07 5.3125101908976056e+07 5.3038593920036331e+07 5.2944818549376130e+07 5.2842532755676486e+07 5.2730226034605123e+07 5.2606196769226514e+07 5.2467988346032694e+07 5.2315959530441932e+07 5.2144255125617296e+07 5.1951744509939499e+07 5.1735634373807311e+07 5.1492918670601524e+07 5.1220497395944163e+07 5.0915261116927817e+07 5.0573759538158283e+07 5.0196534227044128e+07 4.9776874725928843e+07 4.9316269679430731e+07 4.8815784593195505e+07 4.8279345072588101e+07 4.7713630272670411e+07 4.7131353231956802e+07 4.6551421282983556e+07 4.6004891586488731e+07 4.5530616710884310e+07 4.5189655587021023e+07 4.5066990572164088e+07 4.5286167616355814e+07 4.6026931942964472e+07 4.7561668404709660e+07 5.0321561698881522e+07 5.5033297961790815e+07 1.0469222714854185e+07 +1.0230410136712418e+01 1.6625305403396666e+08 1.6623653413717237e+08 1.6620852609606642e+08 1.6617132030844128e+08 1.6613297614159054e+08 1.6610642246449459e+08 1.6609757331000444e+08 1.6609652916260758e+08 1.6609288824090773e+08 1.6608400260009429e+08 1.6607041400787523e+08 1.6605158663627774e+08 1.6602643966285229e+08 1.6599389617034268e+08 1.6595283636098617e+08 1.6590187871084589e+08 1.6583937168813366e+08 1.6576340489574718e+08 1.6567174499394965e+08 1.6556174943972668e+08 1.6543031637711403e+08 1.6527372828828493e+08 1.6508677300918278e+08 1.6486047527395713e+08 1.6458547227692959e+08 1.6425708133217451e+08 1.6386950922982472e+08 1.6341384257779235e+08 1.6287923671179253e+08 1.6225322743743402e+08 1.6152167020371926e+08 1.6066862696385100e+08 1.5967628774207845e+08 1.5852495505846745e+08 1.5719313157345253e+08 1.5565771987995765e+08 1.5389442932951379e+08 1.5187841479515696e+08 1.4958524891741982e+08 1.4699223500774875e+08 1.4385008169890741e+08 1.4032326937070322e+08 1.3640660515502337e+08 1.3210996380474243e+08 1.2746184067295480e+08 1.2251180272344588e+08 1.1733092003187934e+08 1.1200935104788281e+08 1.0665081163099355e+08 1.0136361838343282e+08 9.6250577586104900e+07 9.1401460780228302e+07 8.6886325552182049e+07 8.2746292076225251e+07 7.8997943618316919e+07 7.5638788909676030e+07 7.2650080780296415e+07 7.0004474573120713e+07 6.7669623278653488e+07 6.5614805230501823e+07 6.3808593308021873e+07 6.2225165108006500e+07 6.0838867045936681e+07 5.9630994871788152e+07 5.8582100575183824e+07 5.7675727172360487e+07 5.6899116777032010e+07 5.6238464514055006e+07 5.5680438008650653e+07 5.5215373312576853e+07 5.4831035408970371e+07 5.4518742605728313e+07 5.4268365496383570e+07 5.4071309809749849e+07 5.3915791647816978e+07 5.3790268777930088e+07 5.3686300863367580e+07 5.3595781424819224e+07 5.3510601393287525e+07 5.3450400857979022e+07 5.3389639677949242e+07 5.3327652524034090e+07 5.3262731059007496e+07 5.3195759066503011e+07 5.3124798658142038e+07 5.3052296754293635e+07 5.2971697718869656e+07 5.2885439545921683e+07 5.2791934976315990e+07 5.2689944558126807e+07 5.2577962148647830e+07 5.2454291044587828e+07 5.2316481792801023e+07 5.2164891791825674e+07 5.1993683214544013e+07 5.1801728506140195e+07 5.1586242422843367e+07 5.1344227598383039e+07 5.1072592979920894e+07 5.0768238113426395e+07 5.0427722730861455e+07 5.0051586517525814e+07 4.9633138838007376e+07 4.9173863847492307e+07 4.8674823975008599e+07 4.8139933490322508e+07 4.7575852261857547e+07 4.6995256617909253e+07 4.6416999353369735e+07 4.5872047655737989e+07 4.5399142311522581e+07 4.5059165761870116e+07 4.4936855026047736e+07 4.5155399188502789e+07 4.5894024467063554e+07 4.7424329204913288e+07 5.0176253097001232e+07 5.4874383495714292e+07 1.0432527423247689e+07 +1.0235378459486677e+01 1.6588270791737887e+08 1.6586622543498567e+08 1.6583827744949394e+08 1.6580115089283165e+08 1.6576288545755917e+08 1.6573638017188221e+08 1.6572753599183294e+08 1.6572647578358522e+08 1.6572282067443344e+08 1.6571392769264060e+08 1.6570033637100595e+08 1.6568151106251264e+08 1.6565637217537931e+08 1.6562384378725150e+08 1.6558280697340614e+08 1.6553188141650313e+08 1.6546941700375476e+08 1.6539350488551342e+08 1.6530191353163385e+08 1.6519200259236884e+08 1.6506067282874790e+08 1.6490420998122674e+08 1.6471740694278941e+08 1.6449129726116624e+08 1.6421652490881446e+08 1.6388841030004191e+08 1.6350116731322300e+08 1.6304589236382136e+08 1.6251175232721290e+08 1.6188629672923797e+08 1.6115539735778639e+08 1.6030313563295227e+08 1.5931172475414842e+08 1.5816149476640701e+08 1.5683098088478109e+08 1.5529712403325561e+08 1.5353567832223651e+08 1.5152185032978681e+08 1.4923127147776189e+08 1.4664131055522102e+08 1.4350303787767160e+08 1.3998081699870479e+08 1.3606954333224958e+08 1.3177916780795032e+08 1.2713823765564916e+08 1.2219633340944731e+08 1.1702448686009859e+08 1.1171275665324888e+08 1.0636469504140580e+08 1.0108840106314501e+08 9.5986429195045263e+07 9.1148285193523660e+07 8.6643773963317350e+07 8.2513817177539349e+07 7.8774856393557310e+07 7.5424313704459459e+07 7.2443412220150203e+07 6.9804817218842641e+07 6.7476221959112585e+07 6.5426954212921120e+07 6.3625650093369104e+07 6.2046542374588616e+07 6.0664038605023220e+07 5.9459479193485104e+07 5.8413466155092411e+07 5.7509585645771995e+07 5.6735113146682866e+07 5.6076281481034420e+07 5.5519794868302844e+07 5.5056015522135280e+07 5.4672742631079368e+07 5.4361317776738897e+07 5.4111639405183814e+07 5.3915136322200909e+07 5.3760056876419693e+07 5.3634890722517021e+07 5.3531220106032327e+07 5.3440960669387244e+07 5.3356026133150823e+07 5.3295999371799394e+07 5.3235413671106897e+07 5.3173605574622788e+07 5.3108871657108918e+07 5.3042093139872082e+07 5.2971337796584509e+07 5.2899045143493585e+07 5.2818678949083924e+07 5.2732669964397043e+07 5.2639435515383445e+07 5.2537739730454154e+07 5.2426080817758590e+07 5.2302766975091875e+07 5.2165355891433284e+07 5.2014203603365235e+07 5.1843489607862167e+07 5.1652089409914486e+07 5.1437225811524563e+07 5.1195910104848325e+07 5.0925060166101709e+07 5.0621584497578457e+07 5.0282052833091110e+07 4.9907002982001394e+07 4.9489764079416998e+07 4.9031815803161934e+07 4.8534217513313286e+07 4.8000872172628470e+07 4.7438420411259487e+07 4.6859501939657405e+07 4.6282915151628181e+07 4.5739537488936871e+07 4.5267998235178441e+07 4.4929003785979383e+07 4.4807046438793994e+07 4.5024959309506059e+07 4.5761450914310716e+07 4.7287335062813088e+07 5.0031309575239711e+07 5.4715868294858404e+07 1.0395953404605877e+07 +1.0240346782260936e+01 1.6551292623918912e+08 1.6549648080173573e+08 1.6546859374120763e+08 1.6543154593596187e+08 1.6539335917977634e+08 1.6536690224176970e+08 1.6535806307875061e+08 1.6535698688888004e+08 1.6535331768368334e+08 1.6534441745571169e+08 1.6533082351123047e+08 1.6531200038599199e+08 1.6528686972178173e+08 1.6525435659284854e+08 1.6521334295182398e+08 1.6516244969198468e+08 1.6510002812459809e+08 1.6502417095324600e+08 1.6493264846456063e+08 1.6482282251083118e+08 1.6469159647910950e+08 1.6453525937979823e+08 1.6434860917559454e+08 1.6412268825026873e+08 1.6384814738898313e+08 1.6352031012612620e+08 1.6313339743778592e+08 1.6267851556616190e+08 1.6214484295195597e+08 1.6151994286994603e+08 1.6078970347603261e+08 1.5993822568768957e+08 1.5894774590819141e+08 1.5779862173325065e+08 1.5646942095176288e+08 1.5493712282781479e+08 1.5317752622379354e+08 1.5116588939410836e+08 1.4887790248301899e+08 1.4629099965917781e+08 1.4315661315732566e+08 1.3963898907791632e+08 1.3573311078507498e+08 1.3144900497675431e+08 1.2681527029341538e+08 1.2188150035222247e+08 1.1671868820774034e+08 1.1141679235418534e+08 1.0607920126351669e+08 1.0081379645822926e+08 9.5722880889673099e+07 9.0895695028551579e+07 8.6401791749825016e+07 8.2281894893038705e+07 7.8552304934239760e+07 7.5210357861889765e+07 7.2237247452348962e+07 6.9605649170913920e+07 6.7283296669390216e+07 6.5239567209663860e+07 6.3443160108894989e+07 6.1868363274363436e+07 6.0489645299293868e+07 5.9288391187567152e+07 5.8245252887007713e+07 5.7343859608559281e+07 5.6571520136038579e+07 5.5914504908358932e+07 5.5359554657857224e+07 5.4897057703663118e+07 5.4514847359820955e+07 5.4204288432208665e+07 5.3955307156339765e+07 5.3759355365277573e+07 5.3604713581779405e+07 5.3479903274494626e+07 5.3376529222716451e+07 5.3286529141233683e+07 5.3201839485703863e+07 5.3141986062017977e+07 5.3081575399705149e+07 5.3019945910494581e+07 5.2955399068924606e+07 5.2888813540441304e+07 5.2818262746376380e+07 5.2746178818778835e+07 5.2666044879905820e+07 5.2580284456945300e+07 5.2487319449374609e+07 5.2385917556933954e+07 5.2274581327581361e+07 5.2151623848092698e+07 5.2014609931182861e+07 5.1863894256379567e+07 5.1693673599186972e+07 5.1502826517575495e+07 5.1288583839044519e+07 5.1047965492450655e+07 5.0777898260630406e+07 5.0475299579649255e+07 5.0136749159755751e+07 4.9762782940526664e+07 4.9346749775861651e+07 4.8890124878319182e+07 4.8393964546826683e+07 4.7862160465486154e+07 4.7301334074577928e+07 4.6724088558667183e+07 4.6149168047142163e+07 4.5607360462893762e+07 4.5137183865045354e+07 4.4799169047167689e+07 4.4677564199852832e+07 4.4894847365860805e+07 4.5629210661202736e+07 4.7150685334133610e+07 4.9886730451885410e+07 5.4557751613725364e+07 1.0359500292442221e+07 +1.0245315105035194e+01 1.6514371130850801e+08 1.6512730140741828e+08 1.6509947468827474e+08 1.6506250567893729e+08 1.6502439751453224e+08 1.6499798889015281e+08 1.6498915478609863e+08 1.6498806269361761e+08 1.6498437948351943e+08 1.6497547210383919e+08 1.6496187564280862e+08 1.6494305482041630e+08 1.6491793251508489e+08 1.6488543479939443e+08 1.6484444450792661e+08 1.6479358374790391e+08 1.6473120525971738e+08 1.6465540330656427e+08 1.6456394999896801e+08 1.6445420939905196e+08 1.6432308752994448e+08 1.6416687668263337e+08 1.6398037990302330e+08 1.6375464843243477e+08 1.6348033990380788e+08 1.6315278099076784e+08 1.6276619977692810e+08 1.6231171234988782e+08 1.6177850874161950e+08 1.6115416600363401e+08 1.6042458868959296e+08 1.5957389724391156e+08 1.5858435130246815e+08 1.5743633603663084e+08 1.5610845182823539e+08 1.5457771628992546e+08 1.5281997302903840e+08 1.5081053194747272e+08 1.4852514185201475e+08 1.4594130219354290e+08 1.4281080735712296e+08 1.3929778536785221e+08 1.3539730720768657e+08 1.3111947493556345e+08 1.2649293813796501e+08 1.2156730303013419e+08 1.1641352348104739e+08 1.1112145748913108e+08 1.0579432957524851e+08 1.0053980379514331e+08 9.5459931855661958e+07 9.0643689441437215e+07 8.6160378049123675e+07 8.2050524351081848e+07 7.8330288367313012e+07 7.4996920513332814e+07 7.2031585616694897e+07 6.9406969580066651e+07 6.7090846572062694e+07 6.5052643395607747e+07 6.3261122541456699e+07 6.1690627005479909e+07 6.0315686337379783e+07 5.9117730072131321e+07 5.8077459997376174e+07 5.7178548294816576e+07 5.6408336985703826e+07 5.5753134042370290e+07 5.5199716628524363e+07 5.4738499112421751e+07 5.4357348854065023e+07 5.4047653833998717e+07 5.3799368014172062e+07 5.3603966205395117e+07 5.3449761031944491e+07 5.3325305703353330e+07 5.3222227484367251e+07 5.3132486112428859e+07 5.3048040724155597e+07 5.2988360202646874e+07 5.2928124138572223e+07 5.2866672807351716e+07 5.2802312571042083e+07 5.2735919545799606e+07 5.2665572785957679e+07 5.2593697059575930e+07 5.2513794791880175e+07 5.2428282305272222e+07 5.2335586061216123e+07 5.2234477321882993e+07 5.2123462964078732e+07 5.2000860951158620e+07 5.1864243201502658e+07 5.1713963042408474e+07 5.1544234482344136e+07 5.1353939125555336e+07 5.1140315804772727e+07 5.0900393063839816e+07 5.0631106569825016e+07 5.0329382670096681e+07 4.9991811025966167e+07 4.9618925713314734e+07 4.9204095253179371e+07 4.8748790405124359e+07 4.8254064414431356e+07 4.7723797715023503e+07 4.7164592605568171e+07 4.6589015836687721e+07 4.6015757409480467e+07 4.5475515954580083e+07 4.5006698584545106e+07 4.4669660933492504e+07 4.4548407698885538e+07 4.4765062744311169e+07 4.5497303084479965e+07 4.7014379374778584e+07 4.9742515045447260e+07 5.4400032707001917e+07 1.0323167721214853e+07 +1.0250283427809453e+01 1.6477506043443182e+08 1.6475868613328111e+08 1.6473092030255491e+08 1.6469403037431902e+08 1.6465600066179991e+08 1.6462964032681701e+08 1.6462081132322839e+08 1.6461970340734780e+08 1.6461600628308767e+08 1.6460709184571725e+08 1.6459349297389776e+08 1.6457467457360968e+08 1.6454956076256678e+08 1.6451707861344382e+08 1.6447611184706110e+08 1.6442528378858724e+08 1.6436294861252615e+08 1.6428720214757937e+08 1.6419581833488923e+08 1.6408616345518741e+08 1.6395514617697248e+08 1.6379906208271733e+08 1.6361271931444100e+08 1.6338717799321991e+08 1.6311310263362125e+08 1.6278582306870553e+08 1.6239957449818614e+08 1.6194548287450343e+08 1.6141274984601191e+08 1.6078896626915255e+08 1.6006005312414289e+08 1.5921015041192818e+08 1.5822154102946487e+08 1.5707463774859622e+08 1.5574807356250945e+08 1.5421890444073632e+08 1.5246301872811323e+08 1.5045577794400322e+08 1.4817298949884698e+08 1.4559221802699187e+08 1.4246562029218465e+08 1.3895720562314063e+08 1.3506213228962508e+08 1.3079057730470923e+08 1.2617124073727114e+08 1.2125374091804917e+08 1.1610899208332229e+08 1.1082675139413787e+08 1.0551007925223890e+08 1.0026642229837602e+08 9.5197581277177230e+07 9.0392267587078497e+07 8.5919531997663662e+07 8.1819704679194734e+07 7.8108805819103241e+07 7.4784000789802447e+07 7.1826425852870136e+07 6.9208777596662045e+07 6.6898870829599939e+07 6.4866181945635714e+07 6.3079536578016296e+07 6.1513332766184680e+07 6.0142160927981198e+07 5.8947495065392487e+07 5.7910086713058874e+07 5.7013650938737080e+07 5.6245562936413839e+07 5.5592168129411243e+07 5.5040280031619854e+07 5.4580339003986210e+07 5.4200246372863673e+07 5.3891413244091943e+07 5.3643821243200675e+07 5.3448968109140426e+07 5.3295198495314077e+07 5.3171097279026560e+07 5.3068314162098579e+07 5.2978830855260924e+07 5.2894629121968746e+07 5.2835121067969792e+07 5.2775059162792161e+07 5.2713785541111395e+07 5.2649611440266915e+07 5.2583410433609709e+07 5.2513267194003038e+07 5.2441599145530678e+07 5.2361927965821452e+07 5.2276662791336134e+07 5.2184234634169079e+07 5.2083418309843868e+07 5.1972725013297334e+07 5.1850477572065532e+07 5.1714254992004044e+07 5.1564409253145419e+07 5.1395171551349759e+07 5.1205426530455776e+07 5.0992421008242466e+07 5.0753192121863574e+07 5.0484684400248908e+07 5.0183833079597704e+07 4.9847237746997766e+07 4.9475430620712943e+07 4.9061799837510012e+07 4.8607811715853892e+07 4.8114516455238476e+07 4.7585783267640367e+07 4.7028195358311385e+07 4.6454283135617644e+07 4.5882682608393602e+07 4.5344003341101259e+07 4.4876541777233586e+07 4.4540478833104499e+07 4.4419576325807810e+07 4.4635604831732862e+07 4.5365727560875922e+07 4.6878416540755145e+07 4.9598662674631156e+07 5.4242710829597853e+07 1.0286955326324886e+07 +1.0255251750583712e+01 1.6440697570341885e+08 1.6439063632184163e+08 1.6436293102603230e+08 1.6432612024917197e+08 1.6428816881740770e+08 1.6426185675657851e+08 1.6425303289401066e+08 1.6425190923334807e+08 1.6424819828554031e+08 1.6423927688408229e+08 1.6422567570707375e+08 1.6420685984734294e+08 1.6418175466560817e+08 1.6414928823561779e+08 1.6410834516927660e+08 1.6405755001309752e+08 1.6399525838064104e+08 1.6391956767222360e+08 1.6382825366687024e+08 1.6371868487168097e+08 1.6358777261020032e+08 1.6343181576721373e+08 1.6324562759366235e+08 1.6302027711222830e+08 1.6274643575334850e+08 1.6241943652878764e+08 1.6203352176358271e+08 1.6157982729378125e+08 1.6104756640946206e+08 1.6042434379934025e+08 1.5969609689960679e+08 1.5884698529667383e+08 1.5785931517626405e+08 1.5671352693563449e+08 1.5538828619753093e+08 1.5386068729586241e+08 1.5210666330523643e+08 1.5010162733280474e+08 1.4782144533234093e+08 1.4524374702333397e+08 1.4212105177210593e+08 1.3861724959434602e+08 1.3472758571648362e+08 1.3046231170038460e+08 1.2585017763574161e+08 1.2094081348731489e+08 1.1580509341484892e+08 1.1053267340260226e+08 1.0522644956789200e+08 9.9993651190458685e+07 9.4935828336656556e+07 9.0141428619189620e+07 8.5679252730997041e+07 8.1589435004148290e+07 7.7887856415571958e+07 7.4571597821847737e+07 7.1621767299935192e+07 6.9011072371000886e+07 6.6707368604546547e+07 6.4680182034617171e+07 6.2898401405464262e+07 6.1336479754841514e+07 5.9969068279947020e+07 5.8777685385716543e+07 5.7743132260856107e+07 5.6849166774748407e+07 5.6083197229164638e+07 5.5431606416140497e+07 5.4881244118634611e+07 5.4422576633970670e+07 5.4043539175473362e+07 5.3735565924802899e+07 5.3488666108175792e+07 5.3294360343316168e+07 5.3141025240428098e+07 5.3017277271474831e+07 5.2914788527227372e+07 5.2825562642257109e+07 5.2741603952733442e+07 5.2682267932444133e+07 5.2622379747645833e+07 5.2561283387860231e+07 5.2497294953632832e+07 5.2431285481764577e+07 5.2361345249363698e+07 5.2289884356553264e+07 5.2210443682607628e+07 5.2125425197241440e+07 5.2033264451584473e+07 5.1932739805718966e+07 5.1822366761536330e+07 5.1700472998812273e+07 5.1564644592569299e+07 5.1415232180439182e+07 5.1246484100491762e+07 5.1057288029153742e+07 5.0844898749219097e+07 5.0606361969579667e+07 5.0338631058611795e+07 5.0038650119006261e+07 4.9703028638331033e+07 4.9332296983292714e+07 4.8919862855091631e+07 4.8467188143041931e+07 4.7975320008524679e+07 4.7448116469844557e+07 4.6892141686970502e+07 4.6319889817526631e+07 4.5749943013877049e+07 4.5212821999826230e+07 4.4746712826861978e+07 4.4411622134342022e+07 4.4291069470609330e+07 4.4506473015165634e+07 4.5234483467540324e+07 4.6742796188402228e+07 4.9455172658382595e+07 5.4085785236605406e+07 1.0250862744114801e+07 +1.0260220073357971e+01 1.6403945562895215e+08 1.6402315235836285e+08 1.6399550741070014e+08 1.6395877548190945e+08 1.6392090217674828e+08 1.6389463837867743e+08 1.6388581969635594e+08 1.6388468036976802e+08 1.6388095568846866e+08 1.6387202741636890e+08 1.6385842403884843e+08 1.6383961083815426e+08 1.6381451441983771e+08 1.6378206386087269e+08 1.6374114466858134e+08 1.6369038261436412e+08 1.6362813475587329e+08 1.6355250007096580e+08 1.6346125618339875e+08 1.6335177383519971e+08 1.6322096701379752e+08 1.6306513791734385e+08 1.6287910491867781e+08 1.6265394596335655e+08 1.6238033943202382e+08 1.6205362153416395e+08 1.6166804172926229e+08 1.6121474575586751e+08 1.6068295857042208e+08 1.6006029872176456e+08 1.5933272013027325e+08 1.5848440199713618e+08 1.5749767382446218e+08 1.5635300365891185e+08 1.5502908977061322e+08 1.5350306486574414e+08 1.5175090674005386e+08 1.4974808005784670e+08 1.4747050925659648e+08 1.4489588904166132e+08 1.4177710160207319e+08 1.3827791702690879e+08 1.3439366716932404e+08 1.3013467773499027e+08 1.2552974837394592e+08 1.2062852020609435e+08 1.1550182687277348e+08 1.1023922284515068e+08 1.0494343979324573e+08 9.9721489692198530e+07 9.4674672215131253e+07 8.9891171690176308e+07 8.5439539383711755e+07 8.1359714452119082e+07 7.7667439281933859e+07 7.4359710739808559e+07 7.1417609097066298e+07 6.8813853053279787e+07 6.6516339059233911e+07 6.4494642837387070e+07 6.2717716210771829e+07 6.1160067169833720e+07 5.9796407602248728e+07 5.8608300251604587e+07 5.7576595867758498e+07 5.6685095037380636e+07 5.5921239105031513e+07 5.5271448149426095e+07 5.4722608141312614e+07 5.4265211258311190e+07 5.3887226521369062e+07 5.3580111138532966e+07 5.3333901874125175e+07 5.3140142175024189e+07 5.2987240536030836e+07 5.2863844951033987e+07 5.2761649851359658e+07 5.2672680746168472e+07 5.2588964490389198e+07 5.2529800070744857e+07 5.2470085168644123e+07 5.2409165624038510e+07 5.2345362388349369e+07 5.2279543968458638e+07 5.2209806231231503e+07 5.2138551972717047e+07 5.2059341223458089e+07 5.1974568805310965e+07 5.1882674797128826e+07 5.1782441094406582e+07 5.1672387495384015e+07 5.1550846519605041e+07 5.1415411293310992e+07 5.1266431116523594e+07 5.1098171424175099e+07 5.0909522918647557e+07 5.0697748327749416e+07 5.0459901910244852e+07 5.0192945851915330e+07 4.9893833099474169e+07 4.9559183015707739e+07 4.9189524121953934e+07 4.8778283632426001e+07 4.8326919019400120e+07 4.7836474413813673e+07 4.7310796668428667e+07 4.6756430945959412e+07 4.6185835244718611e+07 4.5617537995992050e+07 4.5081971308218285e+07 4.4617211117355086e+07 4.4283090225782402e+07 4.4162886523448020e+07 4.4377666681871139e+07 4.5103570181599766e+07 4.6607517674118310e+07 4.9312044315799765e+07 5.3929255183393128e+07 1.0214889611866798e+07 +1.0265188396132229e+01 1.6367250302107736e+08 1.6365623402284646e+08 1.6362864950758731e+08 1.6359199622137785e+08 1.6355420093628034e+08 1.6352798538635355e+08 1.6351917192228523e+08 1.6351801700857848e+08 1.6351427868337724e+08 1.6350534363353944e+08 1.6349173816040826e+08 1.6347292773633671e+08 1.6344784021507025e+08 1.6341540567828047e+08 1.6337451053307843e+08 1.6332378177978134e+08 1.6326157792420632e+08 1.6318599952843699e+08 1.6309482606762105e+08 1.6298543052655539e+08 1.6285472956626773e+08 1.6269902870882824e+08 1.6251315146183953e+08 1.6228818471501723e+08 1.6201481383299160e+08 1.6168837824226645e+08 1.6130313454586044e+08 1.6085023840310588e+08 1.6031892646207333e+08 1.5969683115808606e+08 1.5896992292515865e+08 1.5812240060701317e+08 1.5713661705017802e+08 1.5599306797404101e+08 1.5467048431411248e+08 1.5314603715532994e+08 1.5139574900634387e+08 1.4939513605802378e+08 1.4712018117029637e+08 1.4454864393639672e+08 1.4143376958290467e+08 1.3793920766248438e+08 1.3406037632508208e+08 1.2980767501674347e+08 1.2520995248884974e+08 1.2031686053928971e+08 1.1519919185141455e+08 1.0994639904986446e+08 1.0466104919727325e+08 9.9449937022413015e+07 9.4414112092065990e+07 8.9641495951305687e+07 8.5200391089387625e+07 8.1130542148476288e+07 7.7447553543011904e+07 7.4148338673511311e+07 7.1213950383099958e+07 6.8617118793493614e+07 6.6325781355985582e+07 6.4309563528738491e+07 6.2537480180970952e+07 6.0984094209625088e+07 5.9624178103931144e+07 5.8439338881666549e+07 5.7410476760903798e+07 5.6521434961337060e+07 5.5759687805359952e+07 5.5111692576210923e+07 5.4564371351612836e+07 5.4108242133145161e+07 5.3731307670189396e+07 5.3425048148001499e+07 5.3179527806189008e+07 5.2986312871494621e+07 5.2833843651157402e+07 5.2710799588174522e+07 5.2608897406311750e+07 5.2520184439924963e+07 5.2436710009040885e+07 5.2377716757808290e+07 5.2318174701564692e+07 5.2257431526136674e+07 5.2193813021836855e+07 5.2128185172026277e+07 5.2058649418879926e+07 5.1987601274291329e+07 5.1908619869771145e+07 5.1824092898175165e+07 5.1732464954592630e+07 5.1632521461176932e+07 5.1522786501528420e+07 5.1401597422842294e+07 5.1266554384464704e+07 5.1118005353642575e+07 5.0950232817028023e+07 5.0762130496287256e+07 5.0550969043941461e+07 5.0313811247354470e+07 5.0047628087213643e+07 4.9749381332204200e+07 4.9415700195042439e+07 4.9047111357643165e+07 4.8637061496211454e+07 4.8187003677844487e+07 4.7697979010737181e+07 4.7173823210330263e+07 4.6621062489876650e+07 4.6052118779658921e+07 4.5485466925088599e+07 4.4951450644080728e+07 4.4488036032862343e+07 4.4154882496157236e+07 4.4035026874807999e+07 4.4249185219272673e+07 4.4972987080544211e+07 4.6472580354595102e+07 4.9169276966215804e+07 5.3773119925619408e+07 1.0179035567801191e+07 +1.0270156718906488e+01 1.6330611454184270e+08 1.6328988158556831e+08 1.6326235726734996e+08 1.6322578263595715e+08 1.6318806529280287e+08 1.6316189796790537e+08 1.6315308975841862e+08 1.6315191933613610e+08 1.6314816745655474e+08 1.6313922572140452e+08 1.6312561825684160e+08 1.6310681072654983e+08 1.6308173223541325e+08 1.6304931387134248e+08 1.6300844294550470e+08 1.6295774769071084e+08 1.6289558806623086e+08 1.6282006622348553e+08 1.6272896349651551e+08 1.6261965512083036e+08 1.6248906044043052e+08 1.6233348831179547e+08 1.6214776738960588e+08 1.6192299352967811e+08 1.6164985911396900e+08 1.6132370680485889e+08 1.6093880035833257e+08 1.6048630537242317e+08 1.5995547021138331e+08 1.5933394122465929e+08 1.5860770538716194e+08 1.5776098121464491e+08 1.5677614492387217e+08 1.5563371993151495e+08 1.5431246985484090e+08 1.5278960416456944e+08 1.5104119007324672e+08 1.4904279526693150e+08 1.4677046096765277e+08 1.4420201155666506e+08 1.4109105551017046e+08 1.3760112123785806e+08 1.3372771285648619e+08 1.2948130315016444e+08 1.2489078951368180e+08 1.2000583394825357e+08 1.1489718774214557e+08 1.0965420134225786e+08 1.0437927704655313e+08 9.9178992398060590e+07 9.4154147145382032e+07 8.9392400552524894e+07 8.4961806980722457e+07 8.0901917217929900e+07 7.7228198323064938e+07 7.3937480752380624e+07 7.1010790296517506e+07 6.8420868741527304e+07 6.6135694657095291e+07 6.4124943283542752e+07 6.2357692503089212e+07 6.0808560072740503e+07 5.9452378994167611e+07 5.8270800494576171e+07 5.7244774167680688e+07 5.6358185781495988e+07 5.5598542571593024e+07 5.4952338943746775e+07 5.4406533001639478e+07 5.3951668514816411e+07 5.3575781881952815e+07 5.3270376216128893e+07 5.3025543169813380e+07 5.2832871700233661e+07 5.2680833855041213e+07 5.2558140453574613e+07 5.2456530464018457e+07 5.2368072996812902e+07 5.2284839783021942e+07 5.2226017268799148e+07 5.2166647622353368e+07 5.2106080371005714e+07 5.2042646131846413e+07 5.1977208371096127e+07 5.1907874091889367e+07 5.1837031541896388e+07 5.1758278903166607e+07 5.1673996758641414e+07 5.1582634208115183e+07 5.1482980191480465e+07 5.1373563066981308e+07 5.1252724997255571e+07 5.1118073156618975e+07 5.0969954184439890e+07 5.0802667574102797e+07 5.0615110059527591e+07 5.0404560198291540e+07 5.0168089284613907e+07 4.9902677072056592e+07 4.9605294128782153e+07 4.9272579492464513e+07 4.8905058011651084e+07 4.8496195773337476e+07 4.8047441451556519e+07 4.7559833139251679e+07 4.7037195442668475e+07 4.6486035673547365e+07 4.5918739785019770e+07 4.5353729171713382e+07 4.4821259385281123e+07 4.4359186957712173e+07 4.4026998334454000e+07 4.3907489915278532e+07 4.4121028015048750e+07 4.4842733541956224e+07 4.6337983586689070e+07 4.9026869929156795e+07 5.3617378719033711e+07 1.0143300251074765e+07 +1.0275125041680747e+01 1.6294029150924835e+08 1.6292409569343778e+08 1.6289663135168225e+08 1.6286013492354858e+08 1.6282249544150946e+08 1.6279637630514094e+08 1.6278757338547385e+08 1.6278638753311056e+08 1.6278262218796417e+08 1.6277367385993600e+08 1.6276006450771916e+08 1.6274125998797864e+08 1.6271619065933764e+08 1.6268378861775362e+08 1.6264294208280206e+08 1.6259228052306882e+08 1.6253016535634038e+08 1.6245470032950443e+08 1.6236366864180532e+08 1.6225444778774276e+08 1.6212395980342972e+08 1.6196851689031205e+08 1.6178295286308005e+08 1.6155837256435674e+08 1.6128547542692050e+08 1.6095960736854106e+08 1.6057503930602962e+08 1.6012294679511365e+08 1.5959258994031709e+08 1.5897162903205776e+08 1.5824606761439446e+08 1.5740014390256572e+08 1.5641625751070586e+08 1.5527495957607463e+08 1.5395504641424835e+08 1.5243376588803867e+08 1.5068722990439230e+08 1.4869105761323026e+08 1.4642134853751522e+08 1.4385599174703243e+08 1.4074895917555851e+08 1.3726365748536396e+08 1.3339567643227230e+08 1.2915556173551765e+08 1.2457225897819650e+08 1.1969543989116527e+08 1.1459581393323204e+08 1.0936262904529540e+08 1.0409812260556425e+08 9.8908655034289569e+07 9.3894776551519349e+07 8.9143884642802939e+07 8.4723786189488500e+07 8.0673838784492463e+07 7.7009372745959163e+07 7.3727136105763778e+07 7.0808127975684583e+07 6.8225102047148481e+07 6.5946078124728933e+07 6.3940781276645288e+07 6.2178352364361919e+07 6.0633463957890108e+07 5.9281009482178360e+07 5.8102684309333913e+07 5.7079487315509550e+07 5.6195346732982248e+07 5.5437802645490445e+07 5.4793386499484442e+07 5.4249092343811244e+07 5.3795489659858502e+07 5.3420648416733466e+07 5.3116094606075674e+07 5.2871947230714582e+07 5.2679817929000013e+07 5.2528210417177059e+07 5.2405866818250597e+07 5.2304548296871684e+07 5.2216345690199822e+07 5.2133353086909004e+07 5.2074700879074968e+07 5.2015503207186848e+07 5.1955111435708418e+07 5.1891860996356219e+07 5.1826612844482012e+07 5.1757479530106373e+07 5.1686842056252137e+07 5.1608317605599463e+07 5.1524279669732288e+07 5.1433181841980875e+07 5.1333816571011148e+07 5.1224716478943855e+07 5.1104228531639948e+07 5.0969966900512934e+07 5.0822276901746467e+07 5.0655474990372650e+07 5.0468460906138316e+07 5.0258521091426283e+07 5.0022735325976864e+07 4.9758092113984473e+07 4.9461570800976343e+07 4.9129820224352859e+07 4.8763363405420482e+07 4.8355685790957265e+07 4.7908231673863783e+07 4.7422036139450669e+07 4.6900912712889828e+07 4.6351349852014862e+07 4.5785697623744950e+07 4.5222324106585033e+07 4.4691396909935556e+07 4.4230663276426405e+07 4.3899437129750215e+07 4.3780275035662971e+07 4.3993194457014352e+07 4.4712808943689086e+07 4.6203726727512330e+07 4.8884822524436802e+07 5.3462030819759555e+07 1.0107683301779106e+07 +1.0280093364455006e+01 1.6257503713558197e+08 1.6255887570198378e+08 1.6253147165857410e+08 1.6249505327463105e+08 1.6245749157125613e+08 1.6243142057433483e+08 1.6242262297842032e+08 1.6242142177443495e+08 1.6241764305242109e+08 1.6240868822327337e+08 1.6239507708683166e+08 1.6237627569377697e+08 1.6235121565974724e+08 1.6231883008947274e+08 1.6227800811581901e+08 1.6222738044714639e+08 1.6216530996356726e+08 1.6208990201381695e+08 1.6199894166936517e+08 1.6188980869107038e+08 1.6175942781671420e+08 1.6160411460311413e+08 1.6141870803757769e+08 1.6119432197033170e+08 1.6092166291844106e+08 1.6059608007375443e+08 1.6021185152257779e+08 1.5976016279673997e+08 1.5923028576519662e+08 1.5860989468566230e+08 1.5788500969902331e+08 1.5703988874800473e+08 1.5605695487077445e+08 1.5491678694724113e+08 1.5359821400843176e+08 1.5207852231502336e+08 1.5033386845850372e+08 1.4833992302077484e+08 1.4607284376410663e+08 1.4351058434735027e+08 1.4040748036548963e+08 1.3692681613321638e+08 1.3306426671645866e+08 1.2883045036958259e+08 1.2425436040844820e+08 1.1938567782301235e+08 1.1429506981029078e+08 1.0907168147941265e+08 1.0381758513664526e+08 9.8638924144499391e+07 9.3635999485570997e+07 8.8895947369740993e+07 8.4486327846589342e+07 8.0446305971523330e+07 7.6791075935034096e+07 7.3517303862501994e+07 7.0605962558823109e+07 6.8029817859953851e+07 6.5756930921091534e+07 6.3757076682920359e+07 6.1999458951823100e+07 6.0458805063835710e+07 5.9110068777506009e+07 5.7934989545012042e+07 5.6914615432101600e+07 5.6032917051060028e+07 5.5277467268925272e+07 5.4634834491050072e+07 5.4092048630641624e+07 5.3639704825110324e+07 5.3265906534954071e+07 5.2962202581203081e+07 5.2718739254741877e+07 5.2527150825795315e+07 5.2375972607208885e+07 5.2253977953466274e+07 5.2152950177272461e+07 5.2065001793835066e+07 5.1982249195490673e+07 5.1923766864282899e+07 5.1864740732624836e+07 5.1804523997531861e+07 5.1741456893469512e+07 5.1676397871329114e+07 5.1607465013510227e+07 5.1537032098417655e+07 5.1458735259089872e+07 5.1374940914735340e+07 5.1284107140750602e+07 5.1185029885734305e+07 5.1076246024906255e+07 5.0956107315205023e+07 5.0822234907191493e+07 5.0674972798546605e+07 5.0508654361310355e+07 5.0322182334103465e+07 5.0112851024296992e+07 4.9877748675582714e+07 4.9613872520855442e+07 4.9318210660721332e+07 4.8987421707311548e+07 4.8622026860604860e+07 4.8215530876413822e+07 4.7769373678347290e+07 4.7284587351720214e+07 4.6764974368569143e+07 4.6217004380511679e+07 4.5652991658883996e+07 4.5091251100698173e+07 4.4561862596386440e+07 4.4102464373749435e+07 4.3772198271472931e+07 4.3653381626935519e+07 4.3865683933227897e+07 4.4583212663788788e+07 4.6069809134299956e+07 4.8743134072107926e+07 5.3307075484114870e+07 1.0072184360939013e+07 +1.0285061687229264e+01 1.6221034844815132e+08 1.6219422314176077e+08 1.6216687812080446e+08 1.6213053785063189e+08 1.6209305386134562e+08 1.6206703094605011e+08 1.6205823870657170e+08 1.6205702222941497e+08 1.6205323021878174e+08 1.6204426898022467e+08 1.6203065616229200e+08 1.6201185801172706e+08 1.6198680740342906e+08 1.6195443845307395e+08 1.6191364121054673e+08 1.6186304762744871e+08 1.6180102205146122e+08 1.6172567143848458e+08 1.6163478273916700e+08 1.6152573798898134e+08 1.6139546463602856e+08 1.6124028160336784e+08 1.6105503306278619e+08 1.6083084189321938e+08 1.6055842172925320e+08 1.6023312505531061e+08 1.5984923713636550e+08 1.5939795349741128e+08 1.5886855779660422e+08 1.5824873828491783e+08 1.5752453172782475e+08 1.5668021582275599e+08 1.5569823705816761e+08 1.5455920207939240e+08 1.5324197264871591e+08 1.5172387342979220e+08 1.4998110568902156e+08 1.4798939140809122e+08 1.4572494652667677e+08 1.4316578919270167e+08 1.4006661886216411e+08 1.3659059690508991e+08 1.3273348336962801e+08 1.2850596864500344e+08 1.2393709332705745e+08 1.1907654719543162e+08 1.1399495475574368e+08 1.0878135796235444e+08 1.0353766389992823e+08 9.8369798940247819e+07 9.3377815121024728e+07 8.8648587879910961e+07 8.4249431082112879e+07 8.0219317901740119e+07 7.6573307013141602e+07 7.3307983151061073e+07 7.0404293183805481e+07 6.7835015329490334e+07 6.5568252208300039e+07 6.3573828677248470e+07 6.1821011452808186e+07 6.0284582589411281e+07 5.8939556089680992e+07 5.7767715420778088e+07 5.6750157745333493e+07 5.5870895971229888e+07 5.5117535684028380e+07 5.4476682166315824e+07 5.3935401115052983e+07 5.3484313267615095e+07 5.3111555497199468e+07 5.2808699405229770e+07 5.2565918508091718e+07 5.2374869658875473e+07 5.2224119695223734e+07 5.2102473130609892e+07 5.2001735378090233e+07 5.1914040581615113e+07 5.1831527383912191e+07 5.1773214500345767e+07 5.1714359475306660e+07 5.1654317334076680e+07 5.1591433101626970e+07 5.1526562730941668e+07 5.1457829822446026e+07 5.1387600949675560e+07 5.1309531146105297e+07 5.1225979777237289e+07 5.1135409389237903e+07 5.1036619421867825e+07 5.0928150992534131e+07 5.0808360637345873e+07 5.0674876467843212e+07 5.0528041168211885e+07 5.0362204982516974e+07 5.0176273641605638e+07 4.9967549297975630e+07 4.9733128637921512e+07 4.9470017600808449e+07 4.9175213020279065e+07 4.8845383258180492e+07 4.8481047699174270e+07 4.8075730357347667e+07 4.7630866798877612e+07 4.7147486116651453e+07 4.6629379757539168e+07 4.6082998614490144e+07 4.5520621253844798e+07 4.4960509525180981e+07 4.4432655823224135e+07 4.3974589634680144e+07 4.3645281149123281e+07 4.3526809080369100e+07 4.3738495831990905e+07 4.4453944080531128e+07 4.5936230164677992e+07 4.8601803892307140e+07 5.3152511968666613e+07 1.0036803070510838e+07 +1.0290030010003523e+01 1.6184622536811492e+08 1.6183013605537495e+08 1.6180285113437134e+08 1.6176658880516371e+08 1.6172918248007628e+08 1.6170320758420581e+08 1.6169442073373729e+08 1.6169318906165016e+08 1.6168938385033724e+08 1.6168041629348105e+08 1.6166680189681745e+08 1.6164800710401031e+08 1.6162296605215734e+08 1.6159061386915031e+08 1.6154984152670443e+08 1.6149928222280556e+08 1.6143730177738699e+08 1.6136200875983748e+08 1.6127119200615528e+08 1.6116223583408335e+08 1.6103207041181430e+08 1.6087701803835529e+08 1.6069192808273736e+08 1.6046793247323152e+08 1.6019575199468306e+08 1.5987074244292906e+08 1.5948719626985702e+08 1.5903631901188409e+08 1.5850740613962838e+08 1.5788815992416221e+08 1.5716463378212017e+08 1.5632112519335017e+08 1.5534010412215787e+08 1.5420220500140926e+08 1.5288632234030318e+08 1.5136981921126547e+08 1.4962894154436237e+08 1.4763946268890882e+08 1.4537765669958681e+08 1.4282160611330467e+08 1.3972637444327986e+08 1.3625499952030030e+08 1.3240332604768614e+08 1.2818211615062687e+08 1.2362045725281109e+08 1.1876804745686081e+08 1.1369546814942603e+08 1.0849165780964974e+08 1.0325835815339786e+08 9.8101278631288692e+07 9.3120222629947156e+07 8.8401805318694174e+07 8.4013095025114492e+07 7.9992873697223350e+07 7.6356065102645800e+07 7.3099173099747613e+07 7.0203118988460898e+07 6.7640693605275139e+07 6.5380041148521639e+07 6.3391036434559785e+07 6.1643009054673031e+07 6.0110795733677804e+07 5.8769470628381424e+07 5.7600861156085655e+07 5.6586113483219132e+07 5.5709282729152851e+07 5.4958007133206926e+07 5.4318928773403458e+07 5.3779149050062224e+07 5.3329314244617254e+07 5.2957594564409465e+07 5.2655584341973349e+07 5.2413484257177517e+07 5.2222973696695045e+07 5.2072650951408282e+07 5.1951351621447429e+07 5.1850903172324128e+07 5.1763461327784345e+07 5.1681186927515700e+07 5.1623043063380703e+07 5.1564358712217748e+07 5.1504490723117538e+07 5.1441788899568319e+07 5.1377106702930540e+07 5.1308573237541087e+07 5.1238547891575426e+07 5.1160704549228549e+07 5.1077395540999971e+07 5.0987087872524500e+07 5.0888584465826854e+07 5.0780430669842951e+07 5.0660987787642755e+07 5.0527890874018118e+07 5.0381481304255985e+07 5.0216126149884142e+07 5.0030734127155967e+07 4.9822615213883087e+07 4.9588874517639004e+07 4.9326526662189595e+07 4.9032577192075603e+07 4.8703704194072574e+07 4.8340425243333973e+07 4.7936283561595708e+07 4.7492710369503632e+07 4.7010731775059976e+07 4.6494128227843255e+07 4.5949331909712486e+07 4.5388585772206254e+07 4.4830098751483276e+07 4.4303775969174229e+07 4.3847038444394171e+07 4.3518685152536578e+07 4.3400556787389673e+07 4.3611629541730881e+07 4.4325002572333626e+07 4.5802989176338978e+07 4.8460831305601142e+07 5.2998339530374207e+07 1.0001539073380809e+07 +1.0294998332777782e+01 1.6148266876145950e+08 1.6146661461361450e+08 1.6143939068908402e+08 1.6140320631130058e+08 1.6136587758533302e+08 1.6133995064710039e+08 1.6133116921768531e+08 1.6132992242917293e+08 1.6132610410483184e+08 1.6131713032053855e+08 1.6130351444729134e+08 1.6128472312690505e+08 1.6125969176157823e+08 1.6122735649299303e+08 1.6118660921856296e+08 1.6113608438657212e+08 1.6107414929389629e+08 1.6099891412853298e+08 1.6090816961915693e+08 1.6079930237347507e+08 1.6066924528860047e+08 1.6051432404986727e+08 1.6032939323597375e+08 1.6010559384485245e+08 1.5983365384445092e+08 1.5950893236042348e+08 1.5912572904023784e+08 1.5867525944923481e+08 1.5814683089419064e+08 1.5752815969219565e+08 1.5680531593792060e+08 1.5596261692087018e+08 1.5498255610629153e+08 1.5384579573695141e+08 1.5253126308402929e+08 1.5101635963322285e+08 1.4927737596813911e+08 1.4729013677182496e+08 1.4503097415232715e+08 1.4247803493492135e+08 1.3938674688172346e+08 1.3592002369376931e+08 1.3207379440278290e+08 1.2785889247142887e+08 1.2330445170148224e+08 1.1846017805262366e+08 1.1339660936813894e+08 1.0820258033396757e+08 1.0297966715299736e+08 9.7833362425731510e+07 9.2863221183138624e+07 8.8155598830440581e+07 8.3777318803979337e+07 7.9766972479483381e+07 7.6139349325603679e+07 7.2890872836558267e+07 7.0002439110335216e+07 6.7446851836640567e+07 6.5192296903833784e+07 6.3208699129862040e+07 6.1465450944829218e+07 5.9937443695654184e+07 5.8599811603559501e+07 5.7434425970490746e+07 5.6422481874031737e+07 5.5548076560735807e+07 5.4798880858930722e+07 5.4161573560619131e+07 5.3623291689018995e+07 5.3174707013701983e+07 5.2804022997714452e+07 5.2502856655656546e+07 5.2261435768722825e+07 5.2071462208121315e+07 5.1921565646320306e+07 5.1800612698008493e+07 5.1700452833245106e+07 5.1613263306831531e+07 5.1531227101854406e+07 5.1473251829829589e+07 5.1414737720625103e+07 5.1355043442740187e+07 5.1292523566214636e+07 5.1228029067155741e+07 5.1159694539539963e+07 5.1089872205893427e+07 5.1012254751384892e+07 5.0929187490110353e+07 5.0839141875932731e+07 5.0740924304306373e+07 5.0633084345054895e+07 5.0513988056033939e+07 5.0381277417513981e+07 5.0235292500553116e+07 5.0070417159518145e+07 4.9885563089487664e+07 4.9678048073702417e+07 4.9444985619642191e+07 4.9183399013582051e+07 4.8890302488940753e+07 4.8562383832312480e+07 4.8200158815474443e+07 4.7797189817261748e+07 4.7354903724504493e+07 4.6874323668001018e+07 4.6359219127853885e+07 4.5816003622091681e+07 4.5256884577697828e+07 4.4700018151211195e+07 4.4175222413309507e+07 4.3719810188240647e+07 4.3392409671694390e+07 4.3274624139684498e+07 4.3485084451218992e+07 4.4196387517982163e+07 4.5670085527309656e+07 4.8320215632739790e+07 5.2844557426280953e+07 9.9663920133634824e+06 +1.0299966655552041e+01 1.6111968086220723e+08 1.6110366160030353e+08 1.6107649705188736e+08 1.6104039055866447e+08 1.6100313932684639e+08 1.6097726028709775e+08 1.6096848431084603e+08 1.6096722248433968e+08 1.6096339113429222e+08 1.6095441121330005e+08 1.6094079396497759e+08 1.6092200623147303e+08 1.6089698468213120e+08 1.6086466647424957e+08 1.6082394443499103e+08 1.6077345426675618e+08 1.6071156474716848e+08 1.6063638768978444e+08 1.6054571572156730e+08 1.6043693774859631e+08 1.6030698940543240e+08 1.6015219977452427e+08 1.5996742865556097e+08 1.5974382613718423e+08 1.5947212740277031e+08 1.5914769492640537e+08 1.5876483555909991e+08 1.5831477491312578e+08 1.5778683215463012e+08 1.5716873767220724e+08 1.5644657826581880e+08 1.5560469106089053e+08 1.5462559304903045e+08 1.5348997430426514e+08 1.5217679487500697e+08 1.5066349466458499e+08 1.4892640889837021e+08 1.4694141356079292e+08 1.4468489874969238e+08 1.4213507547839755e+08 1.3904773594615471e+08 1.3558566913640979e+08 1.3174488808291624e+08 1.2753629718867655e+08 1.2298907618471356e+08 1.1815293842472336e+08 1.1309837778586926e+08 1.0791412484599677e+08 1.0270159015255035e+08 9.7566049529748693e+07 9.2606809949733704e+07 8.7909967558304712e+07 8.3542101546135455e+07 7.9541613369276807e+07 7.5923158803560987e+07 7.2683081489151523e+07 6.9802252686936349e+07 6.7253489172846615e+07 6.5005018636410534e+07 6.3026815938217223e+07 6.1288336310860969e+07 5.9764525674709707e+07 5.8430578225208923e+07 5.7268409083805643e+07 5.6259262146253020e+07 5.5387276702109307e+07 5.4640156104060449e+07 5.4004615776630044e+07 5.3467828285427392e+07 5.3020490832696222e+07 5.2650840058492139e+07 5.2350515610672548e+07 5.2109772309690930e+07 5.1920334462105244e+07 5.1770863050660208e+07 5.1650255632540748e+07 5.1550383634528153e+07 5.1463445793450922e+07 5.1381647182894289e+07 5.1323840076396756e+07 5.1265495778011471e+07 5.1205974771291077e+07 5.1143636380838454e+07 5.1079329103728123e+07 5.1011193009576485e+07 5.0941573174761638e+07 5.0864181035719052e+07 5.0781354908915639e+07 5.0691570685071491e+07 5.0593638224342383e+07 5.0486111306636110e+07 5.0367360732706577e+07 5.0235035390325442e+07 5.0089474051150933e+07 4.9925077307867117e+07 4.9740759827605471e+07 4.9533847179331489e+07 4.9301461249188468e+07 4.9040633963896602e+07 4.8748388223775260e+07 4.8421421490502715e+07 4.8060247738289438e+07 4.7658448452653997e+07 4.7217446198477387e+07 4.6738261136805579e+07 4.6224651806080788e+07 4.5683013107819073e+07 4.5125517034464739e+07 4.4570267096249759e+07 4.4046994534798555e+07 4.3592904251933828e+07 4.3266454096861891e+07 4.3149010529122666e+07 4.3358859949363269e+07 4.4068098296380758e+07 4.5537518575784720e+07 4.8179956194694884e+07 5.2691164913858600e+07 9.9313615351999700e+06 +1.0304934978326299e+01 1.6075725884694415e+08 1.6074127559912276e+08 1.6071417035291260e+08 1.6067814173025790e+08 1.6064096784792098e+08 1.6061513665046799e+08 1.6060636615989193e+08 1.6060508937401170e+08 1.6060124508528385e+08 1.6059225911777666e+08 1.6057864059568465e+08 1.6055985656292552e+08 1.6053484495845935e+08 1.6050254395685351e+08 1.6046184731911388e+08 1.6041139200515336e+08 1.6034954827848673e+08 1.6027442958304328e+08 1.6018383045158464e+08 1.6007514209541306e+08 1.5994530289604807e+08 1.5979064534276444e+08 1.5960603446905261e+08 1.5938262947382557e+08 1.5911117278822327e+08 1.5878703025356513e+08 1.5840451593271866e+08 1.5795486550161597e+08 1.5742741000974780e+08 1.5680989394234520e+08 1.5608842083112931e+08 1.5524734766377458e+08 1.5426921498360565e+08 1.5313474071668291e+08 1.5182291770356625e+08 1.5031122426887986e+08 1.4857604026871195e+08 1.4659329295463511e+08 1.4433943035166579e+08 1.4179272756014410e+08 1.3870934140060231e+08 1.3525193555452561e+08 1.3141660673201235e+08 1.2721432987989829e+08 1.2267433021112934e+08 1.1784632801227717e+08 1.1280077277397344e+08 1.0762629065355687e+08 1.0242412640363042e+08 9.7299339147990733e+07 9.2350988097650066e+07 8.7664910644397512e+07 8.3307442378224105e+07 7.9316795486848369e+07 7.5707492657593399e+07 7.2475798184859395e+07 6.9602558855527297e+07 6.7060604763234891e+07 6.4818205508368701e+07 6.2845386034698218e+07 6.1111664340393178e+07 5.9592040870228603e+07 5.8261769703544818e+07 5.7102809715938143e+07 5.6096453528476603e+07 5.5226882389675081e+07 5.4481832111669697e+07 5.3848054670204602e+07 5.3312758093217880e+07 5.2866664959608138e+07 5.2498045008422494e+07 5.2198560471798733e+07 5.1958493147241205e+07 5.1769589728040665e+07 5.1620542435565889e+07 5.1500279697627492e+07 5.1400694849931344e+07 5.1314008062736467e+07 5.1232446446706347e+07 5.1174807080031916e+07 5.1116632162191026e+07 5.1057283987418659e+07 5.0995126622900262e+07 5.0931006093140282e+07 5.0863067929044440e+07 5.0793650080457032e+07 5.0716482685653619e+07 5.0633897082003862e+07 5.0544373585801892e+07 5.0446725513131224e+07 5.0339510843374036e+07 5.0221105108118691e+07 5.0089164084807090e+07 4.9944025250396296e+07 4.9780105891546093e+07 4.9596323640779853e+07 4.9390011832964107e+07 4.9158300711662032e+07 4.8898230822231680e+07 4.8606833709852219e+07 4.8280816486473508e+07 4.7920691334725663e+07 4.7520058796406366e+07 4.7080337126227483e+07 4.6602543523023076e+07 4.6090425611325093e+07 4.5550359723302387e+07 4.4994482506711178e+07 4.4440844958717138e+07 4.3919091713161513e+07 4.3466320021301217e+07 4.3140817818507262e+07 4.3023715347888410e+07 4.3232955425329082e+07 4.3940134286750063e+07 4.5405287680304609e+07 4.8040052312750950e+07 5.2538161250725694e+07 9.8964472845564187e+06 +1.0309903301100558e+01 1.6039540498905092e+08 1.6037945689505884e+08 1.6035241086445412e+08 1.6031645997737193e+08 1.6027936328633559e+08 1.6025357987800798e+08 1.6024481490614274e+08 1.6024352323940569e+08 1.6023966609868708e+08 1.6023067417504737e+08 1.6021705447976425e+08 1.6019827426116717e+08 1.6017327272984180e+08 1.6014098907922032e+08 1.6010031800873291e+08 1.6004989773868906e+08 1.5998810002329832e+08 1.5991303994255134e+08 1.5982251394128564e+08 1.5971391554434016e+08 1.5958418588845548e+08 1.5942966088008782e+08 1.5924521079827419e+08 1.5902200397269592e+08 1.5875079011433744e+08 1.5842693844978103e+08 1.5804477026177770e+08 1.5759553130779609e+08 1.5706856454306430e+08 1.5645162857507315e+08 1.5573084369345215e+08 1.5489058677470422e+08 1.5391342193782157e+08 1.5278009498220602e+08 1.5146963155453146e+08 1.4995954840468627e+08 1.4822627000736716e+08 1.4624577484733048e+08 1.4399456881337440e+08 1.4145099099173316e+08 1.3837156300467241e+08 1.3491882265047109e+08 1.3108894998999719e+08 1.2689299011880863e+08 1.2236021328570554e+08 1.1754034625088526e+08 1.1250379370082270e+08 1.0733907706224261e+08 1.0214727515606153e+08 9.7033230483206064e+07 9.2095754793501288e+07 8.7420427229735196e+07 8.3073340426119044e+07 7.9092517951817229e+07 7.5492350008489937e+07 7.2269022050944597e+07 6.9403356753222853e+07 6.6868197756933980e+07 6.4631856681811184e+07 6.2664408594525136e+07 6.0935434221221671e+07 5.9419988481688723e+07 5.8093385249015778e+07 5.6937627087166809e+07 5.5934055249689125e+07 5.5066892859965898e+07 5.4323908125036821e+07 5.3691889490477718e+07 5.3158080366398193e+07 5.2713228652807325e+07 5.2345637109532848e+07 5.2046990503954634e+07 5.1807597549018532e+07 5.1619227275478154e+07 5.1470603072362907e+07 5.1350684166080043e+07 5.1251385753643870e+07 5.1164949389964327e+07 5.1083624169781141e+07 5.1026152117995232e+07 5.0968146151271686e+07 5.0908970370055415e+07 5.0846993572220333e+07 5.0783059316036880e+07 5.0715318579586230e+07 5.0646102205690034e+07 5.0569158984975792e+07 5.0486813294233471e+07 5.0397549864307523e+07 5.0300185458257847e+07 5.0193282244344711e+07 5.0075220472961321e+07 4.9943662793516271e+07 4.9798945392933592e+07 4.9635502207539052e+07 4.9452253828554153e+07 4.9246541337062187e+07 4.9015503312815860e+07 4.8756188898028880e+07 4.8465638260721661e+07 4.8140568138385490e+07 4.7781488927950524e+07 4.7382020177366205e+07 4.6943575842851631e+07 4.6467170168509036e+07 4.5956539892661169e+07 4.5418042825262919e+07 4.4863780359007239e+07 4.4311751110974759e+07 4.3791513328137212e+07 4.3340056882521331e+07 4.3015500227356479e+07 4.2898737988336489e+07 4.3107370268559508e+07 4.3812494868489914e+07 4.5273392199582875e+07 4.7900503308446944e+07 5.2385545694990396e+07 9.8616489080222696e+06 +1.0314871623874817e+01 1.6003411933467278e+08 1.6001820550362903e+08 1.5999121858190829e+08 1.5995534540952727e+08 1.5991832577424705e+08 1.5989259010497519e+08 1.5988383068489230e+08 1.5988252421623677e+08 1.5987865431012642e+08 1.5986965652003863e+08 1.5985603575194183e+08 1.5983725946042070e+08 1.5981226812997472e+08 1.5978000197454861e+08 1.5973935663587743e+08 1.5968897159858313e+08 1.5962722011147547e+08 1.5955221889678225e+08 1.5946176631779721e+08 1.5935325822027504e+08 1.5922363850525674e+08 1.5906924650622350e+08 1.5888495775988522e+08 1.5866194974640843e+08 1.5839097948871994e+08 1.5806741961680287e+08 1.5768559864175484e+08 1.5723677241872433e+08 1.5671029583257681e+08 1.5609394163761520e+08 1.5537384690758494e+08 1.5453440843336689e+08 1.5355821393428934e+08 1.5242603710351253e+08 1.5111693640765980e+08 1.4960846702570802e+08 1.4787709803773764e+08 1.4589885912807232e+08 1.4365031398528257e+08 1.4110986558024928e+08 1.3803440051361483e+08 1.3458633012214655e+08 1.3076191749274102e+08 1.2657227747540076e+08 1.2204672491006264e+08 1.1723499257337554e+08 1.1220743993217362e+08 1.0705248337514840e+08 1.0187103565741807e+08 9.6767722736758277e+07 9.1841109202432573e+07 8.7176516454347402e+07 8.2839794814820886e+07 7.8868779883375630e+07 7.5277729976515785e+07 7.2062752214275703e+07 6.9204645517000481e+07 6.6676267303095303e+07 6.4445971318953805e+07 6.2483882792929158e+07 6.0759645141171359e+07 5.9248367708886191e+07 5.7925424072169863e+07 5.6772860417773373e+07 5.5772066538944311e+07 5.4907307349854551e+07 5.4166383387727603e+07 5.3536119486856714e+07 5.3003794359384224e+07 5.2560181170939699e+07 5.2193615624003291e+07 5.1895804972448699e+07 5.1657084782757878e+07 5.1469246374399699e+07 5.1321044232682906e+07 5.1201468311038129e+07 5.1102455620101579e+07 5.1016269050775319e+07 5.0935179628881909e+07 5.0877874467853770e+07 5.0820037023579732e+07 5.0761033198337778e+07 5.0699236508907139e+07 5.0635488053430580e+07 5.0567944243144177e+07 5.0498928833361886e+07 5.0422209217678651e+07 5.0340102830871493e+07 5.0251098807006627e+07 5.0154017347515337e+07 5.0047424798883237e+07 4.9929706118246518e+07 4.9798530809366137e+07 4.9654233773699068e+07 4.9491265553076163e+07 4.9308549690754019e+07 4.9103434994358212e+07 4.8873068358690716e+07 4.8614507500926800e+07 4.8324801190163821e+07 4.8000675764675282e+07 4.7642639841535538e+07 4.7244331924696162e+07 4.6807161683678210e+07 4.6332140415341638e+07 4.5822993999431744e+07 4.5286061770679519e+07 4.4733409956161454e+07 4.4182984925611585e+07 4.3664258759662963e+07 4.3214114221907668e+07 4.2890500714347586e+07 4.2774077843043871e+07 4.2982103868737653e+07 4.3685179421295397e+07 4.5141831492618896e+07 4.7761308503544159e+07 5.2233317504893474e+07 9.8269660531086735e+06 +1.0319839946649076e+01 1.5967340029583529e+08 1.5965752127616638e+08 1.5963059367852539e+08 1.5959479810724738e+08 1.5955785543779427e+08 1.5953216746100345e+08 1.5952341362655365e+08 1.5952209243479115e+08 1.5951820984948006e+08 1.5950920628236178e+08 1.5949558454143572e+08 1.5947681228956318e+08 1.5945183128707200e+08 1.5941958277024639e+08 1.5937896332723695e+08 1.5932861371044379e+08 1.5926690866765434e+08 1.5919196656895787e+08 1.5910158770254600e+08 1.5899317024273384e+08 1.5886366086353514e+08 1.5870940233575273e+08 1.5852527546491894e+08 1.5830246690206689e+08 1.5803174101385623e+08 1.5770847385148421e+08 1.5732700116228619e+08 1.5687858891665360e+08 1.5635260395105979e+08 1.5573683319195151e+08 1.5501743052273041e+08 1.5417881267436498e+08 1.5320359099044296e+08 1.5207256707827979e+08 1.5076483223798171e+08 1.4925798008023965e+08 1.4752852427836150e+08 1.4555254568100569e+08 1.4330666571302047e+08 1.4076935112831727e+08 1.3769785367819169e+08 1.3425445766336980e+08 1.3043550887223577e+08 1.2625219151581435e+08 1.2173386458239135e+08 1.1693026640928976e+08 1.1191171083087406e+08 1.0676650889326096e+08 1.0159540715338242e+08 9.6502815108009547e+07 9.1587050488211602e+07 8.6933177457183257e+07 8.2606804668609917e+07 7.8645580400008798e+07 7.5063631681687146e+07 7.1856987801487789e+07 6.9006424283838823e+07 6.6484812550758824e+07 6.4260548582016386e+07 6.2303807805279650e+07 6.0584296288360171e+07 5.9077177751695171e+07 5.7757885383783676e+07 5.6608508928379081e+07 5.5610486625612244e+07 5.4748125096412353e+07 5.4009257143562257e+07 5.3380743908932902e+07 5.2849899326824799e+07 5.2407521772888280e+07 5.2041979814386114e+07 5.1745003142860457e+07 5.1506954116555236e+07 5.1319646294914976e+07 5.1171865188484088e+07 5.1052631405972295e+07 5.0953903723995663e+07 5.0867966321075842e+07 5.0787112101013295e+07 5.0729973407453589e+07 5.0672304057763986e+07 5.0613471751833521e+07 5.0551854713300280e+07 5.0488291586565033e+07 5.0420944202001363e+07 5.0352129246696994e+07 5.0275632668042623e+07 5.0193764977344528e+07 5.0105019700669199e+07 5.0008220469076045e+07 4.9901937796596825e+07 4.9784561335295357e+07 4.9653767425469875e+07 4.9509889687907323e+07 4.9347395225715272e+07 4.9165210527515650e+07 4.8960692107906900e+07 4.8730995155603923e+07 4.8473185940937504e+07 4.8184321812240094e+07 4.7861138683978505e+07 4.7504143399137810e+07 4.7106993367800005e+07 4.6671093984315760e+07 4.6197453605863191e+07 4.5689787281184234e+07 4.5154415916687690e+07 4.4603370663209535e+07 4.4054545775521755e+07 4.3537327387987055e+07 4.3088491426100999e+07 4.2765818670735978e+07 4.2649734304932140e+07 4.2857155615723267e+07 4.3558187325097919e+07 4.5010604918642826e+07 4.7622467220161624e+07 5.2081475938962348e+07 9.7923983682468142e+06 +1.0324808269423334e+01 1.5931324798183519e+08 1.5929740462131515e+08 1.5927053649258637e+08 1.5923481815035620e+08 1.5919795239723215e+08 1.5917231207048520e+08 1.5916356385574478e+08 1.5916222801953331e+08 1.5915833284128886e+08 1.5914932358657104e+08 1.5913570097195956e+08 1.5911693287187898e+08 1.5909196232393181e+08 1.5905973158857447e+08 1.5901913820428985e+08 1.5896882419449931e+08 1.5890716581079069e+08 1.5883228307664993e+08 1.5874197821149048e+08 1.5863365172568730e+08 1.5850425307509008e+08 1.5835012847728249e+08 1.5816616401909071e+08 1.5794355554162616e+08 1.5767307478665471e+08 1.5735010124502891e+08 1.5696897790815836e+08 1.5652098087821186e+08 1.5599548896610722e+08 1.5538030329477018e+08 1.5466159458288196e+08 1.5382379952698106e+08 1.5284955311858779e+08 1.5171968489903900e+08 1.5041331901518103e+08 1.4890808751185650e+08 1.4718054864277208e+08 1.4520683438602060e+08 1.4296362383777568e+08 1.4042944743383828e+08 1.3736192224486211e+08 1.3392320496376985e+08 1.3010972375659613e+08 1.2593273180273381e+08 1.2142163179742007e+08 1.1662616718520601e+08 1.1161660575722317e+08 1.0648115291481169e+08 1.0132038888743171e+08 9.6238506794922039e+07 9.1333577813372001e+07 8.6690409376114428e+07 8.2374369111015171e+07 7.8422918619563371e+07 7.4850054243601188e+07 7.1651727939078808e+07 6.8808692190458611e+07 6.6293832649166644e+07 6.4075587633240715e+07 6.2124182807023950e+07 6.0409386850919195e+07 5.8906417810127094e+07 5.7590768394831359e+07 5.6444571839849696e+07 5.5449314739311434e+07 5.4589345337003656e+07 5.3852528636601098e+07 5.3225762006617978e+07 5.2696394523646928e+07 5.2255249717895478e+07 5.1890728943520017e+07 5.1594584281047396e+07 5.1357204818883717e+07 5.1170426307613589e+07 5.1023065211968899e+07 5.0904172724535629e+07 5.0805729340418711e+07 5.0720040477022059e+07 5.0639420863548301e+07 5.0582448214921199e+07 5.0524946532830462e+07 5.0466285310349971e+07 5.0404847466090985e+07 5.0341469197082222e+07 5.0274317738671556e+07 5.0205702729164384e+07 5.0129428620709255e+07 5.0047799019454539e+07 4.9959311832303256e+07 4.9862794111283138e+07 4.9756820527436353e+07 4.9639785415686540e+07 4.9509371935336255e+07 4.9365912431029856e+07 4.9203890523247436e+07 4.9022235639205001e+07 4.8818311980951302e+07 4.8589283010060206e+07 4.8332223528280005e+07 4.8044199441370055e+07 4.7721956215294175e+07 4.7365998924916781e+07 4.6970003836367644e+07 4.6535372080667302e+07 4.6063109082749739e+07 4.5556919087814286e+07 4.5023104620820537e+07 4.4473661845489100e+07 4.3926433033848047e+07 4.3410718593604125e+07 4.2963187881952673e+07 4.2641453487947829e+07 4.2525706767099641e+07 4.2732524899754345e+07 4.3431517960096419e+07 4.4879711837209605e+07 4.7483978780670755e+07 5.1930020256218262e+07 9.7579455027862489e+06 +1.0329776592197593e+01 1.5895366382816663e+08 1.5893785562905264e+08 1.5891104695925042e+08 1.5887540564245492e+08 1.5883861676745015e+08 1.5881302405227748e+08 1.5880428149166992e+08 1.5880293109007373e+08 1.5879902340458626e+08 1.5879000855135739e+08 1.5877638516212368e+08 1.5875762132545263e+08 1.5873266135780373e+08 1.5870044854606578e+08 1.5865988138253552e+08 1.5860960316555625e+08 1.5854799165470243e+08 1.5847316853213209e+08 1.5838293795525771e+08 1.5827470277778065e+08 1.5814541524614403e+08 1.5799142503467050e+08 1.5780762352278650e+08 1.5758521576117027e+08 1.5731498089877880e+08 1.5699230188350537e+08 1.5661152895851329e+08 1.5616394837481382e+08 1.5563895093955740e+08 1.5502435199723846e+08 1.5430633912683472e+08 1.5346936901546484e+08 1.5249610032580033e+08 1.5136739055302048e+08 1.5006239670379528e+08 1.4855878925914514e+08 1.4683317103982702e+08 1.4486172511739907e+08 1.4262118819590348e+08 1.4009015429021162e+08 1.3702660595563376e+08 1.3359257170869766e+08 1.2978456176979247e+08 1.2561389789527057e+08 1.2111002604673801e+08 1.1632269432465872e+08 1.1132212406878451e+08 1.0619641473595738e+08 1.0104598010132709e+08 9.5974796993638635e+07 9.1080690339173198e+07 8.6448211348096400e+07 8.2142487264742658e+07 7.8200793659596220e+07 7.4636996781446487e+07 7.1446971753273666e+07 6.8611448373528093e+07 6.6103326747247972e+07 6.3891087634943143e+07 6.1945006973739855e+07 6.0234916017134711e+07 5.8736087084481746e+07 5.7424072316508144e+07 5.6281048373212390e+07 5.5288550109900609e+07 5.4430967309197471e+07 5.3696197111227274e+07 5.3071173030128166e+07 5.2543279205117166e+07 5.2103364265430845e+07 5.1739862274519175e+07 5.1444547653197497e+07 5.1207836158385538e+07 5.1021585683217235e+07 5.0874643575730763e+07 5.0756091540862814e+07 5.0657931744691953e+07 5.0572490795172498e+07 5.0492105194074847e+07 5.0435298168719798e+07 5.0377963728027105e+07 5.0319473153956376e+07 5.0258214048268296e+07 5.0195020166850388e+07 5.0128064136009730e+07 5.0059648564662367e+07 4.9983596360567190e+07 4.9902204243226834e+07 4.9813974489263609e+07 4.9717737562899165e+07 4.9612072281628542e+07 4.9495377651360504e+07 4.9365343632707119e+07 4.9222301298895128e+07 4.9060750743751898e+07 4.8879624326573707e+07 4.8676293917207092e+07 4.8447931229027487e+07 4.8191619573558271e+07 4.7904433392176807e+07 4.7583127677850969e+07 4.7228205743128255e+07 4.6833362660411358e+07 4.6399995308955729e+07 4.5929106188905835e+07 4.5424388769450344e+07 4.4892127240820035e+07 4.4344282868600845e+07 4.3798646073997274e+07 4.3284431757266469e+07 4.2838202976641774e+07 4.2517404557734944e+07 4.2401994622921780e+07 4.2608211111221604e+07 4.3305170706753798e+07 4.4749151608163364e+07 4.7345842507700801e+07 5.1778949715846576e+07 9.7236071069932915e+06 +1.0334744914971852e+01 1.5859464801756755e+08 1.5857887481384912e+08 1.5855212490576312e+08 1.5851656071788946e+08 1.5847984865931156e+08 1.5845430351978931e+08 1.5844556664821026e+08 1.5844420176022866e+08 1.5844028165308529e+08 1.5843126129007632e+08 1.5841763722481188e+08 1.5839887776263735e+08 1.5837392850071198e+08 1.5834173375382134e+08 1.5830119297261775e+08 1.5825095073324722e+08 1.5818938630757642e+08 1.5811462304223412e+08 1.5802446703903726e+08 1.5791632350233689e+08 1.5778714747764528e+08 1.5763329210584739e+08 1.5744965407072333e+08 1.5722744765187672e+08 1.5695745943652460e+08 1.5663507584733397e+08 1.5625465438727283e+08 1.5580749147227973e+08 1.5528298992855427e+08 1.5466897934561050e+08 1.5395166418802860e+08 1.5311552115846413e+08 1.5214323261409411e+08 1.5101568402283877e+08 1.4971206526361910e+08 1.4821008525581333e+08 1.4648639137306273e+08 1.4451721774551567e+08 1.4227935861908793e+08 1.3975147148635849e+08 1.3669190454826519e+08 1.3326255757961756e+08 1.2946002253219487e+08 1.2529568934854148e+08 1.2079904681827566e+08 1.1601984724811111e+08 1.1102826512039912e+08 1.0591229365048286e+08 1.0077218003465389e+08 9.5711684898910761e+07 9.0828387225467697e+07 8.6206582509037614e+07 8.1911158251874015e+07 7.7979204637056828e+07 7.4424458414160147e+07 7.1242718370045066e+07 6.8414691969641671e+07 6.5913293994123437e+07 6.3707047749503821e+07 6.1766279481049933e+07 6.0060882975537464e+07 5.8566184775168747e+07 5.7257796360240154e+07 5.6117937749743879e+07 5.5128191967414141e+07 5.4272990250893876e+07 5.3540261812091805e+07 5.2916976229966365e+07 5.2390552626701415e+07 5.1951864675298430e+07 5.1589379070822172e+07 5.1294892525780864e+07 5.1058847404212020e+07 5.0873123692921899e+07 5.0726599552643247e+07 5.0608387129282661e+07 5.0510510212476768e+07 5.0425316552346408e+07 5.0345164370646618e+07 5.0288522547655702e+07 5.0231354922995143e+07 5.0173034563102633e+07 5.0111953741164625e+07 5.0048943778076880e+07 4.9982182677203447e+07 4.9913966037301198e+07 4.9838135172876038e+07 4.9756979935088471e+07 4.9669006959216788e+07 4.9573050112967290e+07 4.9467692349674627e+07 4.9351337334488764e+07 4.9221681811686300e+07 4.9079055587632746e+07 4.8917975185672380e+07 4.8737375890646286e+07 4.8534637220533349e+07 4.8306939119680129e+07 4.8051373387623765e+07 4.7765022979629450e+07 4.7444652391206160e+07 4.7090763178400286e+07 4.6697069170168720e+07 4.6264963005609341e+07 4.5795444267530322e+07 4.5292195676527604e+07 4.4761483134750143e+07 4.4215233098385498e+07 4.3671184269602522e+07 4.3158466259984769e+07 4.2713536097573914e+07 4.2393671272089414e+07 4.2278597266072474e+07 4.2484213640828714e+07 4.3179144945795342e+07 4.4618923591540247e+07 4.7208057724208698e+07 5.1628263577388838e+07 9.6893828320493381e+06 +1.0339713237746111e+01 1.5823619987833518e+08 1.5822046132015783e+08 1.5819377034780908e+08 1.5815828352790949e+08 1.5812164817969066e+08 1.5809615058136055e+08 1.5808741943393674e+08 1.5808604013845411e+08 1.5808210769493958e+08 1.5807308191087374e+08 1.5805945726758361e+08 1.5804070229064170e+08 1.5801576385909274e+08 1.5798358731796977e+08 1.5794307307943237e+08 1.5789286700149009e+08 1.5783134987224233e+08 1.5775664670863131e+08 1.5766656556270969e+08 1.5755851399717107e+08 1.5742944986519492e+08 1.5727572978383479e+08 1.5709225575250801e+08 1.5687025129955944e+08 1.5660051048066434e+08 1.5627842321191025e+08 1.5589835426300016e+08 1.5545161023160022e+08 1.5492760598444939e+08 1.5431418538067764e+08 1.5359756979496425e+08 1.5276225596999392e+08 1.5179094998033565e+08 1.5066456528555161e+08 1.4936232464921117e+08 1.4786197543043855e+08 1.4614020954167551e+08 1.4417331213520327e+08 1.4193813493449906e+08 1.3941339880678162e+08 1.3635781775620824e+08 1.3293316225364923e+08 1.2913610565998189e+08 1.2497810571430577e+08 1.2048869359680298e+08 1.1571762537310828e+08 1.1073502826421002e+08 1.0562878894985007e+08 1.0049898792522226e+08 9.5449169703619197e+07 9.0576667630960137e+07 8.5965521993890598e+07 8.1680381193666250e+07 7.7758150668235436e+07 7.4212438260256737e+07 7.1038966915230319e+07 6.8218422115283564e+07 6.5723733538875930e+07 6.3523467139342196e+07 6.1587999504819177e+07 5.9887286914714500e+07 5.8396710082796864e+07 5.7091939737666421e+07 5.5955239191009425e+07 5.4968239542311013e+07 5.4115413400277227e+07 5.3384721984108970e+07 5.2763170856941186e+07 5.2238214044280611e+07 5.1800750207617037e+07 5.1439278596237056e+07 5.1145618165642008e+07 5.0910237825582117e+07 5.0725039608156927e+07 5.0578932415864080e+07 5.0461058764481470e+07 5.0363464019764848e+07 5.0278517025711656e+07 5.0198597671459101e+07 5.0142120630727544e+07 5.0085119397592224e+07 5.0026968818527512e+07 4.9966065826384112e+07 4.9903239313272521e+07 4.9836672645742945e+07 4.9768654431517988e+07 4.9693044343181476e+07 4.9612125381768569e+07 4.9524408530118711e+07 4.9428731050792240e+07 4.9323680022477955e+07 4.9207663757616863e+07 4.9078385766658686e+07 4.8936174593608387e+07 4.8775563147798710e+07 4.8595489632690690e+07 4.8393341195199646e+07 4.8166305989484690e+07 4.7911484281577572e+07 4.7625967519002602e+07 4.7306529675286822e+07 4.6953670555721529e+07 4.6561122696210973e+07 4.6130274507428415e+07 4.5662122662153132e+07 4.5160339159741946e+07 4.4631171660914019e+07 4.4086511901028961e+07 4.3544046994652331e+07 4.3032821483072959e+07 4.2589186632374234e+07 4.2270253023253977e+07 4.2155514090427347e+07 4.2360531879558258e+07 4.3053440058217518e+07 4.4489027147684298e+07 4.7070623753440306e+07 5.1477961100734644e+07 9.6552723300491869e+06 +1.0344681560520369e+01 1.5787832005828711e+08 1.5786261627317044e+08 1.5783598383477762e+08 1.5780057421519235e+08 1.5776401543201333e+08 1.5773856533982316e+08 1.5772983995213282e+08 1.5772844632774755e+08 1.5772450163310650e+08 1.5771547051633722e+08 1.5770184539268860e+08 1.5768309501138473e+08 1.5765816753418431e+08 1.5762600933878040e+08 1.5758552180272558e+08 1.5753535206883857e+08 1.5747388244625944e+08 1.5739923962720248e+08 1.5730923362071788e+08 1.5720127435481521e+08 1.5707232249900097e+08 1.5691873815594751e+08 1.5673542865253779e+08 1.5651362678415632e+08 1.5624413410708547e+08 1.5592234404713479e+08 1.5554262864915985e+08 1.5509630470818868e+08 1.5457279915388775e+08 1.5395997013821003e+08 1.5324405597081190e+08 1.5240957345872721e+08 1.5143925241615820e+08 1.5031403431341296e+08 1.4901317481026632e+08 1.4751445970676637e+08 1.4579462543970907e+08 1.4383000814728597e+08 1.4159751696457714e+08 1.3907593603134274e+08 1.3602434530857277e+08 1.3260438540392107e+08 1.2881281076566531e+08 1.2466114654066022e+08 1.2017896586400115e+08 1.1541602811412318e+08 1.1044241284993026e+08 1.0534589992322631e+08 1.0022640300879225e+08 9.5187250599312633e+07 9.0325530713010535e+07 8.5725028936590165e+07 8.1450155210633948e+07 7.7537630869084746e+07 7.4000935437930033e+07 7.0835716514628679e+07 6.8022637946886659e+07 6.5534644530578688e+07 6.3340344966992639e+07 6.1410166220921256e+07 5.9714127023507245e+07 5.8227662208223745e+07 5.6926501660600506e+07 5.5792951918797567e+07 5.4808692065171890e+07 5.3958235995736875e+07 5.3229576872526638e+07 5.2609756162122063e+07 5.2086262714012161e+07 5.1650020122810900e+07 5.1289560114763662e+07 5.0996723839883626e+07 5.0762006692275457e+07 5.0577332700701483e+07 5.0431641438912600e+07 5.0314105721446544e+07 5.0216792442847483e+07 5.0132091492760740e+07 5.0052404375153482e+07 4.9996091697492786e+07 4.9939256432065845e+07 4.9881275201336063e+07 4.9820549585833557e+07 4.9757906055336080e+07 4.9691533325400323e+07 4.9623713032128111e+07 4.9548323157301337e+07 4.9467639870265342e+07 4.9380178490277290e+07 4.9284779666078560e+07 4.9180034591236494e+07 4.9064356213584833e+07 4.8935454792283855e+07 4.8793657613657854e+07 4.8633513929145314e+07 4.8453964854384847e+07 4.8252405145733938e+07 4.8026031146278173e+07 4.7771951566931166e+07 4.7487266325857066e+07 4.7168758850208506e+07 4.6816927200239450e+07 4.6425522569496624e+07 4.5995929151455730e+07 4.5529140716530479e+07 4.5028818570122093e+07 4.4501192177883692e+07 4.3958118643007591e+07 4.3417233623411223e+07 4.2907496808126941e+07 4.2465153969057292e+07 4.2147149203811675e+07 4.2032744490244225e+07 4.2237165218634181e+07 4.2928055425328612e+07 4.4359461637300082e+07 4.6933539918993399e+07 5.1328041546077237e+07 9.6212752539994661e+06 +1.0349649883294628e+01 1.5752100904988977e+08 1.5750533933325282e+08 1.5747876566174039e+08 1.5744343288746119e+08 1.5740695051569778e+08 1.5738154789289132e+08 1.5737282830068088e+08 1.5737142042603758e+08 1.5736746356518525e+08 1.5735842720382473e+08 1.5734480169697306e+08 1.5732605602094737e+08 1.5730113962193459e+08 1.5726899991153613e+08 1.5722853923690337e+08 1.5717840602900347e+08 1.5711698412183559e+08 1.5704240188888940e+08 1.5695247130228251e+08 1.5684460466253588e+08 1.5671576546390820e+08 1.5656231730444190e+08 1.5637917284967077e+08 1.5615757418113795e+08 1.5588833038593385e+08 1.5556683841795549e+08 1.5518747760376337e+08 1.5474157495245156e+08 1.5421856947785181e+08 1.5360633364854607e+08 1.5289112273340577e+08 1.5205747362801582e+08 1.5108813990832201e+08 1.4996409107374382e+08 1.4866461569157565e+08 1.4716753800376716e+08 1.4544963895664668e+08 1.4348730563752070e+08 1.4125750452749160e+08 1.3873908293576965e+08 1.3569148693037456e+08 1.3227622669969204e+08 1.2849013745796038e+08 1.2434481137220867e+08 1.1986986309788555e+08 1.1511505488276765e+08 1.1015041822447601e+08 1.0506362585751557e+08 9.9954424519245192e+07 9.4925926775848076e+07 9.0074975627772376e+07 8.5485102470172837e+07 8.1220479422750562e+07 7.7317644355030626e+07 7.3789949065169305e+07 7.0632966293517023e+07 6.7827338600844622e+07 6.5346026118354782e+07 6.3157680395083442e+07 6.1232778805489853e+07 5.9541402490881123e+07 5.8059040352492705e+07 5.6761481341208830e+07 5.5631075155157074e+07 5.4649548766918570e+07 5.3801457276081167e+07 5.3074825722863406e+07 5.2456731396902904e+07 5.1934697892291941e+07 5.1499673681645006e+07 5.1140222890876539e+07 5.0848208815964147e+07 5.0614153274257682e+07 5.0430002242646962e+07 5.0284725895676754e+07 5.0167527275546193e+07 5.0070494758380987e+07 4.9986039231277831e+07 4.9906583760720074e+07 4.9850435027584039e+07 4.9793765306994714e+07 4.9735952992884368e+07 4.9675404301839627e+07 4.9612943287401713e+07 4.9546764000381738e+07 4.9479141124236040e+07 4.9403970901500240e+07 4.9323522687968969e+07 4.9236316128311351e+07 4.9141195248826131e+07 4.9036755347423859e+07 4.8921413995569222e+07 4.8792888183634579e+07 4.8651503944765210e+07 4.8491826829081841e+07 4.8312800857733734e+07 4.8111828377019346e+07 4.7886113898190975e+07 4.7632774555483840e+07 4.7348918716103621e+07 4.7031339236452259e+07 4.6680532437550753e+07 4.6290268121111847e+07 4.5861926275089934e+07 4.5396497774802789e+07 4.4897633258964993e+07 4.4371544044633709e+07 4.3830052690953456e+07 4.3290743530359149e+07 4.2782491616990663e+07 4.2341437495830864e+07 4.2024359206545226e+07 4.1910287859914586e+07 4.2114113049573392e+07 4.2802990428711407e+07 4.4230226421311371e+07 4.6796805544689626e+07 5.1178504173996873e+07 9.5873912578168772e+06 +1.0354618206068887e+01 1.5716426578458655e+08 1.5714863078139758e+08 1.5712211570830572e+08 1.5708685960891479e+08 1.5705045352601951e+08 1.5702509833342469e+08 1.5701638457240731e+08 1.5701496252572250e+08 1.5701099358332208e+08 1.5700195206532440e+08 1.5698832627195841e+08 1.5696958541088694e+08 1.5694468021267313e+08 1.5691255912609068e+08 1.5687212547078559e+08 1.5682202896967497e+08 1.5676065498582539e+08 1.5668613357920420e+08 1.5659627869113591e+08 1.5648850500219989e+08 1.5635977883957553e+08 1.5620646730626851e+08 1.5602348841755199e+08 1.5580209356018698e+08 1.5553309938267657e+08 1.5521190638363573e+08 1.5483290117969421e+08 1.5438742100942466e+08 1.5386491699231312e+08 1.5325327593716612e+08 1.5253877009595129e+08 1.5170595647640702e+08 1.5073761243870196e+08 1.4961473552861935e+08 1.4831664723286006e+08 1.4682121023566929e+08 1.4510524997709140e+08 1.4314520445707288e+08 1.4091809743642285e+08 1.3840283929111341e+08 1.3535924234207997e+08 1.3194868580582380e+08 1.2816808534163535e+08 1.2402909974978866e+08 1.1956138477345215e+08 1.1481470508763443e+08 1.0985904373210992e+08 1.0478196603750518e+08 9.9683051688624948e+07 9.4665197421616137e+07 8.9825001530196056e+07 8.5245741726803377e+07 8.0991352949167222e+07 7.7098190241156474e+07 7.3579478259632483e+07 7.0430715377369136e+07 6.7632523213395670e+07 6.5157877451306671e+07 6.2975472586315177e+07 6.1055836434665769e+07 5.9369112506067038e+07 5.7890843716836989e+07 5.6596877991769500e+07 5.5469608122384973e+07 5.4490808878711872e+07 5.3645076480212107e+07 5.2920467780972622e+07 5.2304095813045852e+07 5.1783518835947782e+07 5.1349710145214841e+07 5.0991266189270534e+07 5.0700072361688606e+07 5.0466676841858335e+07 5.0283047506484434e+07 5.0138185060318582e+07 5.0021322702486627e+07 4.9924570243348174e+07 4.9840359519426428e+07 4.9761135107387863e+07 4.9705149901160114e+07 4.9648645303306587e+07 4.9591001474951796e+07 4.9530629257016763e+07 4.9468350293012403e+07 4.9402363955098219e+07 4.9334937993277557e+07 4.9259986862279557e+07 4.9179773122577064e+07 4.9092820733165503e+07 4.8997977089353852e+07 4.8893841582880028e+07 4.8778836397095166e+07 4.8650685236112729e+07 4.8509712884410352e+07 4.8350501147314109e+07 4.8171996944950677e+07 4.7971610194251195e+07 4.7746553553664394e+07 4.7493952559348963e+07 4.7210924005956464e+07 4.6894270154835634e+07 4.6544485593543150e+07 4.6155358682577945e+07 4.5728265215998195e+07 4.5264193181343049e+07 4.4766782577874213e+07 4.4242226620326638e+07 4.3702313411964834e+07 4.3164576090335913e+07 4.2657805291819744e+07 4.2218036601231918e+07 4.1901882424575880e+07 4.1788143594251014e+07 4.1991374764261544e+07 4.2678244450215362e+07 4.4101320860987045e+07 4.6660419954722725e+07 5.1029348245394506e+07 9.5536199963266104e+06 +1.0359586528843145e+01 1.5680809006181696e+08 1.5679249059778157e+08 1.5676603395327017e+08 1.5673085442408475e+08 1.5669452455411309e+08 1.5666921674878368e+08 1.5666050885454455e+08 1.5665907271403471e+08 1.5665509177441755e+08 1.5664604518748057e+08 1.5663241920396876e+08 1.5661368326677245e+08 1.5658878939178497e+08 1.5655668706701866e+08 1.5651628058836377e+08 1.5646622097379827e+08 1.5640489511986849e+08 1.5633043477832484e+08 1.5624065586598414e+08 1.5613297545050693e+08 1.5600436270027432e+08 1.5585118823298380e+08 1.5566837542466107e+08 1.5544718498588848e+08 1.5517844115665075e+08 1.5485754799854171e+08 1.5447889942472580e+08 1.5403384291906154e+08 1.5351184172833753e+08 1.5290079702417433e+08 1.5218699806612924e+08 1.5135502199732634e+08 1.5038766998368382e+08 1.4926596763536423e+08 1.4796926936913559e+08 1.4647547631135806e+08 1.4476145838106263e+08 1.4280370445249563e+08 1.4057929550031570e+08 1.3806720486422649e+08 1.3502761126030177e+08 1.3162176238344817e+08 1.2784665401783587e+08 1.2371401121118277e+08 1.1925353036253169e+08 1.1451497813442354e+08 1.0956828871465655e+08 1.0450091974549530e+08 9.9412283747106180e+07 9.4405061723298907e+07 8.9575607574038804e+07 8.5006945837541983e+07 8.0762774908447608e+07 7.6879267641748533e+07 7.3369522138539404e+07 7.0228962891192451e+07 6.7438190920858532e+07 6.4970197678653903e+07 6.2793720703490660e+07 6.0879338284890451e+07 5.9197256258415319e+07 5.7723071502791904e+07 5.6432690824914642e+07 5.5308550043093547e+07 5.4332471632127024e+07 5.3489092847542562e+07 5.2766502292939574e+07 5.2151848662557773e+07 5.1632724802103467e+07 5.1200128774931692e+07 5.0842689275090151e+07 5.0552313745192148e+07 5.0319576665861182e+07 5.0136467764930099e+07 4.9992018207377732e+07 4.9875491278259940e+07 4.9779018175117642e+07 4.9695051635738328e+07 4.9616057694813676e+07 4.9560235598614506e+07 4.9503895702221222e+07 4.9446419929583609e+07 4.9386223734337956e+07 4.9324126356033437e+07 4.9258332474403806e+07 4.9191102925087221e+07 4.9116370326516770e+07 4.9036390462101035e+07 4.8949691594160162e+07 4.8855124478333212e+07 4.8751292589816578e+07 4.8636622711989336e+07 4.8508845245306209e+07 4.8368283730238505e+07 4.8209536183897190e+07 4.8031552418722399e+07 4.7831749902944908e+07 4.7607349421464108e+07 4.7355484890958510e+07 4.7073281511943288e+07 4.6757550926488832e+07 4.6408785994381785e+07 4.6020793585721456e+07 4.5594945312194988e+07 4.5132226280895442e+07 4.4636265878814101e+07 4.4113239264531434e+07 4.3574900173386693e+07 4.3038730678483129e+07 4.2533437215080194e+07 4.2094950674099050e+07 4.1779718251301773e+07 4.1666311088254325e+07 4.1868949754746109e+07 4.2553816871994123e+07 4.3972744317858592e+07 4.6524382473660223e+07 5.0880573021482922e+07 9.5199611252606791e+06 +1.0364554851617404e+01 1.5645248408886263e+08 1.5643691921605265e+08 1.5641052060909581e+08 1.5637541739255884e+08 1.5633916368707722e+08 1.5631390322210759e+08 1.5630520122958133e+08 1.5630375107292044e+08 1.5629975822021013e+08 1.5629070665187997e+08 1.5627708057415602e+08 1.5625834966920790e+08 1.5623346723930708e+08 1.5620138381338990e+08 1.5616100466796911e+08 1.5611098211891505e+08 1.5604970460032701e+08 1.5597530556132334e+08 1.5588560290009740e+08 1.5577801607875293e+08 1.5564951711527795e+08 1.5549648015110022e+08 1.5531383393409926e+08 1.5509284851750353e+08 1.5482435576302540e+08 1.5450376331182408e+08 1.5412547238115054e+08 1.5368084071604663e+08 1.5315934371136218e+08 1.5254889692477712e+08 1.5183580664671141e+08 1.5100467017925724e+08 1.5003831251506945e+08 1.4891778734643546e+08 1.4762248203042608e+08 1.4613033613545564e+08 1.4441826404348242e+08 1.4246280546558040e+08 1.4024109852369413e+08 1.3773217941755697e+08 1.3469659339721343e+08 1.3129545608956581e+08 1.2752584308381498e+08 1.2339954529016565e+08 1.1894629933345632e+08 1.1421587342600071e+08 1.0927815251150222e+08 1.0422048626193367e+08 9.9142119922948271e+07 9.4145518866398111e+07 8.9326792911762476e+07 8.4768713932811365e+07 8.0534744418409839e+07 7.6660875670999587e+07 7.3160079819021031e+07 7.0027707960221112e+07 6.7244340859459311e+07 6.4782985949580632e+07 6.2612423909540027e+07 6.0703283532702476e+07 5.9025832937493317e+07 5.7555722912059344e+07 5.6268919053494453e+07 5.5147900140139379e+07 5.4174536258853808e+07 5.3333505617655791e+07 5.2612928505302653e+07 5.1999989197873086e+07 5.1482315048177086e+07 5.1050928832555041e+07 5.0694491413640358e+07 5.0404932234993912e+07 5.0172852017179407e+07 4.9990262291199237e+07 4.9846224611754864e+07 4.9730032279290564e+07 4.9633837831319161e+07 4.9550114859035015e+07 4.9471350802933805e+07 4.9415691400773823e+07 4.9359515785350703e+07 4.9302207639248334e+07 4.9242187017061137e+07 4.9180270760667093e+07 4.9114668843470775e+07 4.9047635205719769e+07 4.8973120581453413e+07 4.8893373994918376e+07 4.8806928000871040e+07 4.8712636706755623e+07 4.8609107660697617e+07 4.8494772234420940e+07 4.8367367507368781e+07 4.8227215780426882e+07 4.8068931239214040e+07 4.7891466581976004e+07 4.7692246808983780e+07 4.7468500810802557e+07 4.7217370863071628e+07 4.6935990550956108e+07 4.6621180872900501e+07 4.6273432966559760e+07 4.5886572162735261e+07 4.5461965902007766e+07 4.5000596418481663e+07 4.4506082513969831e+07 4.3984581337023504e+07 4.3447812342821449e+07 4.2913206670191929e+07 4.2409386769505426e+07 4.1972179103508532e+07 4.1657866080436543e+07 4.1544789737322815e+07 4.1746837413431361e+07 4.2429707076495960e+07 4.3844496153841160e+07 4.6388692426274642e+07 5.0732177763952397e+07 9.4864143012562040e+06 +1.0369523174391663e+01 1.5609744540429166e+08 1.5608191557957795e+08 1.5605557577960691e+08 1.5602054860961285e+08 1.5598437100713623e+08 1.5595915783092847e+08 1.5595046177448890e+08 1.5594899767882016e+08 1.5594499299713051e+08 1.5593593653460398e+08 1.5592231045805180e+08 1.5590358469363520e+08 1.5587871382983968e+08 1.5584664943968007e+08 1.5580629778284246e+08 1.5575631247722206e+08 1.5569508349833119e+08 1.5562074599799225e+08 1.5553111986164981e+08 1.5542362695327190e+08 1.5529524214849937e+08 1.5514234312174878e+08 1.5495986400403872e+08 1.5473908420927256e+08 1.5447084325110731e+08 1.5415055236732683e+08 1.5377262008652887e+08 1.5332841443019813e+08 1.5280742296214381e+08 1.5219757564902622e+08 1.5148519583547392e+08 1.5065490100540558e+08 1.4968953999955505e+08 1.4857019460926697e+08 1.4727628514190981e+08 1.4578578960781756e+08 1.4407566683501506e+08 1.4212250733388078e+08 1.3990350630637932e+08 1.3739776270901489e+08 1.3436618846093139e+08 1.3096976657729661e+08 1.2720565213318586e+08 1.2308570151723075e+08 1.1863969115169707e+08 1.1391739036235143e+08 1.0898863445924760e+08 1.0394066486479965e+08 9.8872559442616329e+07 9.3886568034601390e+07 8.9078556694758654e+07 8.4531045141857043e+07 8.0307260596401587e+07 7.6443013442412063e+07 7.2951150417860866e+07 6.9826949709153652e+07 6.7050972165391497e+07 6.4596241413437255e+07 6.2431581367539302e+07 6.0527671354754016e+07 5.8854841733105965e+07 5.7388797146627888e+07 5.6105561890664667e+07 5.4987657636668906e+07 5.4017001991013259e+07 5.3178314030574441e+07 5.2459745664818667e+07 5.1848516671608835e+07 5.1332288832006276e+07 5.0902109580183350e+07 5.0546671870790951e+07 5.0257927099894919e+07 5.0026502167322852e+07 4.9844430358747445e+07 4.9700803548695639e+07 4.9584944982280433e+07 4.9489028490027487e+07 4.9405548468518309e+07 4.9327013712149464e+07 4.9271516588727951e+07 4.9215504834608316e+07 4.9158363886761747e+07 4.9098518388894185e+07 4.9036782791469753e+07 4.8971372347799890e+07 4.8904534121718243e+07 4.8830236914637357e+07 4.8750723009797253e+07 4.8664529243392341e+07 4.8570513066011690e+07 4.8467286088426709e+07 4.8353284258967035e+07 4.8226251318644844e+07 4.8086508333319649e+07 4.7928685613981575e+07 4.7751738738024816e+07 4.7553100218542956e+07 4.7330007031039365e+07 4.7079609788864017e+07 4.6799050440215342e+07 4.6485159315796457e+07 4.6138425836950496e+07 4.5752693746042587e+07 4.5329326324054547e+07 4.4869302939488932e+07 4.4376231835959524e+07 4.3856252197977170e+07 4.3321049288231134e+07 4.2788003441203944e+07 4.2285653338156410e+07 4.1849721278892465e+07 4.1536325305920839e+07 4.1423578937048614e+07 4.1625037133006364e+07 4.2305914446550302e+07 4.3716575731051587e+07 4.6253349137789920e+07 5.0584161734755121e+07 9.4529791818538383e+06 +1.0374491497165922e+01 1.5574297649864179e+08 1.5572748034064999e+08 1.5570119966205183e+08 1.5566624818804151e+08 1.5563014659233165e+08 1.5560498064766520e+08 1.5559629056087229e+08 1.5559481260365421e+08 1.5559079617635295e+08 1.5558173490669876e+08 1.5556810892639512e+08 1.5554938841003850e+08 1.5552452923288459e+08 1.5549248401449019e+08 1.5545216000120065e+08 1.5540221211590540e+08 1.5534103187975574e+08 1.5526675615254945e+08 1.5517720681362894e+08 1.5506980813505030e+08 1.5494153785863549e+08 1.5478877720102906e+08 1.5460646568722612e+08 1.5438589211019707e+08 1.5411790366530135e+08 1.5379791520397773e+08 1.5342034257296747e+08 1.5297656408583844e+08 1.5245607949617580e+08 1.5184683320186129e+08 1.5113516562494510e+08 1.5030571445418715e+08 1.4934135239890519e+08 1.4822318936615086e+08 1.4693067862397280e+08 1.4544183662304896e+08 1.4373366662150168e+08 1.4178280988996750e+08 1.3956651864387122e+08 1.3706395449249887e+08 1.3403639615535076e+08 1.3064469349582525e+08 1.2688608075586909e+08 1.2277247941960381e+08 1.1833370527941966e+08 1.1361952834057164e+08 1.0869973389212781e+08 1.0366145482997531e+08 9.8603601530778125e+07 9.3628208410223097e+07 8.8830898073210537e+07 8.4293938593217045e+07 8.0080322558854610e+07 7.6225680069331720e+07 7.2742733051602513e+07 6.9626687262926310e+07 6.6858083974879675e+07 6.4409963219502367e+07 6.2251192240648590e+07 6.0352500927964009e+07 5.8684281835256398e+07 5.7222293408723749e+07 5.5942618549768604e+07 5.4827821756128028e+07 5.3859868061002463e+07 5.3023517326493643e+07 5.2306953018658638e+07 5.1697430336862259e+07 5.1182645411684394e+07 5.0753670280306749e+07 5.0399229912637390e+07 5.0111297609142691e+07 4.9880526388014130e+07 4.9698971241483390e+07 4.9555754293780088e+07 4.9440228664357871e+07 4.9344589429592840e+07 4.9261351743777007e+07 4.9183045703121573e+07 4.9127710444008939e+07 4.9071862132407151e+07 4.9014887955203742e+07 4.8955217133860752e+07 4.8893661733349063e+07 4.8828442273316152e+07 4.8761798959936827e+07 4.8687718613981999e+07 4.8608436795831814e+07 4.8522494612006389e+07 4.8428752847844362e+07 4.8325827166277625e+07 4.8212158080473214e+07 4.8085495975888312e+07 4.7946160687714137e+07 4.7788798609281592e+07 4.7612368190573886e+07 4.7414309438193001e+07 4.7191867392026760e+07 4.6942200981736384e+07 4.6662460497209221e+07 4.6349485577359773e+07 4.6003763932705708e+07 4.5619157668446191e+07 4.5197025917354822e+07 4.4738345189569093e+07 4.4246713197586022e+07 4.3728251207863189e+07 4.3194610377904005e+07 4.2663120367576793e+07 4.2162236304433674e+07 4.1727576590013757e+07 4.1415095322073601e+07 4.1302678083376698e+07 4.1503548306502171e+07 4.2182438365129307e+07 4.3588982412024602e+07 4.6118351933686495e+07 5.0436524196201719e+07 9.4196554254960585e+06 +1.0379459819940180e+01 1.5538907550457218e+08 1.5537361408508942e+08 1.5534739205300355e+08 1.5531251621696708e+08 1.5527649051414376e+08 1.5525137174008730e+08 1.5524268765548453e+08 1.5524119591355553e+08 1.5523716782398054e+08 1.5522810183398488e+08 1.5521447604445535e+08 1.5519576088336405e+08 1.5517091351300669e+08 1.5513888760150227e+08 1.5509859138565212e+08 1.5504868109671730e+08 1.5498754980526286e+08 1.5491333608469057e+08 1.5482386381361812e+08 1.5471655967986596e+08 1.5458840429909766e+08 1.5443578243975985e+08 1.5425363903122240e+08 1.5403327226407164e+08 1.5376553704480866e+08 1.5344585185534731e+08 1.5306863986778712e+08 1.5262528970263055e+08 1.5210531332388520e+08 1.5149666958330926e+08 1.5078571600289777e+08 1.4995711049898049e+08 1.4899374966990006e+08 1.4787677155514187e+08 1.4658566239219460e+08 1.4509847707160041e+08 1.4339226326399031e+08 1.4144371296219382e+08 1.3923013532741168e+08 1.3673075451757067e+08 1.3370721618046640e+08 1.3032023649033016e+08 1.2656712853793080e+08 1.2245987852077512e+08 1.1802834117558962e+08 1.1332228675501172e+08 1.0841145014184819e+08 1.0338285543138359e+08 9.8335245410351157e+07 9.3370439174286351e+07 8.8583816196224019e+07 8.4057393414593175e+07 7.9853929421900511e+07 7.6008874664376527e+07 7.2534826836531803e+07 6.9426919746092856e+07 6.6665675424074173e+07 6.4224150517260008e+07 6.2071255692166306e+07 6.0177771429498717e+07 5.8514152434148453e+07 5.7056210900815524e+07 5.5780088244529895e+07 5.4668391722297199e+07 5.3703133701464877e+07 5.2869114746071547e+07 5.2154549814220183e+07 5.1546729447063915e+07 5.1033384045755520e+07 5.0605610195681140e+07 5.0252164805663399e+07 4.9965043032242872e+07 4.9734923951320678e+07 4.9553884213637657e+07 4.9411076123018861e+07 4.9295882602972545e+07 4.9200519928854577e+07 4.9117523964738294e+07 4.9039446056903794e+07 4.8984272248517990e+07 4.8928586961354136e+07 4.8871779128136531e+07 4.8812282536307111e+07 4.8750906871649221e+07 4.8685877906193055e+07 4.8619429007572025e+07 4.8545564967843659e+07 4.8466514642483331e+07 4.8380823397441767e+07 4.8287355344286144e+07 4.8184730187768728e+07 4.8071392994220331e+07 4.7945100776207380e+07 4.7806172142762095e+07 4.7649269526579581e+07 4.7473354243581668e+07 4.7275873774868712e+07 4.7054081203942776e+07 4.6805143755560532e+07 4.6526220039910190e+07 4.6214158980055109e+07 4.5869446581372313e+07 4.5485963263145708e+07 4.5065064021225296e+07 4.4607722514799483e+07 4.4117525952124894e+07 4.3600577727446072e+07 4.3068494980409287e+07 4.2538556825676039e+07 4.2039135051961355e+07 4.1605744426820517e+07 4.1294175523497738e+07 4.1182086572579056e+07 4.1382370327205315e+07 4.2059278215687580e+07 4.3461715559641331e+07 4.5983700139834240e+07 5.0289264411087818e+07 9.3864426915254910e+06 +1.0384428142714439e+01 1.5503574413399819e+08 1.5502031688743755e+08 1.5499415271030757e+08 1.5495935274603775e+08 1.5492340283708817e+08 1.5489833116991422e+08 1.5488965311980981e+08 1.5488814766961700e+08 1.5488410800071162e+08 1.5487503737676257e+08 1.5486141187251318e+08 1.5484270217351818e+08 1.5481786672913688e+08 1.5478586025928196e+08 1.5474559199412018e+08 1.5469571947633711e+08 1.5463463733067158e+08 1.5456048584848365e+08 1.5447109091436830e+08 1.5436388163830093e+08 1.5423584151836511e+08 1.5408335888363811e+08 1.5390138407880667e+08 1.5368122470975548e+08 1.5341374342358389e+08 1.5309436234996718e+08 1.5271751199275857e+08 1.5227459129477495e+08 1.5175512445066696e+08 1.5114708478808373e+08 1.5043684695213687e+08 1.4960908910835487e+08 1.4864673176461968e+08 1.4753094110864550e+08 1.4624123635738033e+08 1.4475571083873743e+08 1.4305145661917475e+08 1.4110521637427649e+08 1.3889435614333969e+08 1.3639816252925479e+08 1.3337864823197943e+08 1.2999639520216456e+08 1.2624879506196496e+08 1.2214789834102181e+08 1.1772359829628251e+08 1.1302566499708374e+08 1.0812378253768496e+08 1.0310486594057480e+08 9.8067490302278534e+07 9.3113259506059602e+07 8.8337310211700708e+07 8.3821408732695624e+07 7.9628080300876737e+07 7.5792596340041339e+07 7.2327430888706267e+07 6.9227646283299863e+07 6.6473745649199180e+07 6.4038802456164002e+07 6.1891770885625169e+07 6.0003482036474064e+07 5.8344452720328435e+07 5.6890548825623006e+07 5.5617970188893422e+07 5.4509366759203270e+07 5.3546798145479970e+07 5.2715105530195035e+07 5.2002535299354352e+07 5.1396413255896509e+07 5.0884503992995396e+07 5.0457928589545138e+07 5.0105475816766918e+07 4.9819162639186703e+07 4.9589694129861087e+07 4.9409168549731970e+07 4.9266768312739983e+07 4.9151906076000549e+07 4.9056819266911805e+07 4.8974064411722884e+07 4.8896214054961637e+07 4.8841201284431331e+07 4.8785678604519144e+07 4.8729036689447984e+07 4.8669713881003618e+07 4.8608517491977990e+07 4.8543678533053808e+07 4.8477423552207507e+07 4.8403775264843583e+07 4.8324955839514494e+07 4.8239514890812725e+07 4.8146319847804882e+07 4.8043994446853593e+07 4.7930988295804448e+07 4.7805065017062642e+07 4.7666541997955196e+07 4.7510097667610124e+07 4.7334696201475605e+07 4.7137792535821825e+07 4.6916647777280711e+07 4.6668437424428567e+07 4.6390328386569954e+07 4.6079178846701175e+07 4.5735473110839911e+07 4.5353109863594569e+07 4.4933439975347005e+07 4.4477434261515416e+07 4.3988669453109272e+07 4.3473231117854968e+07 4.2942702464725271e+07 4.2414312192177810e+07 4.1916348964793451e+07 4.1484224179749250e+07 4.1173565305127442e+07 4.1061803801201232e+07 4.1261502588748619e+07 4.1936433381926090e+07 4.3334774536973864e+07 4.5849393082424201e+07 5.0142381642457247e+07 9.3533406401832923e+06 +1.0389396465488698e+01 1.5468298134243399e+08 1.5466758847730610e+08 1.5464148181734774e+08 1.5460675782154205e+08 1.5457088361659539e+08 1.5454585899378994e+08 1.5453718701022494e+08 1.5453566792790189e+08 1.5453161676238713e+08 1.5452254159078652e+08 1.5450891646560708e+08 1.5449021233498839e+08 1.5446538893534869e+08 1.5443340204115471e+08 1.5439316187899417e+08 1.5434332730647156e+08 1.5428229450620946e+08 1.5420820549310347e+08 1.5411888816323987e+08 1.5401177405609491e+08 1.5388384955990300e+08 1.5373150657319587e+08 1.5354970086725983e+08 1.5332974948067451e+08 1.5306252283098948e+08 1.5274344671134645e+08 1.5236695896504882e+08 1.5192446887165317e+08 1.5140551287709430e+08 1.5079807880636552e+08 1.5008855845037150e+08 1.4926165024581745e+08 1.4830029862998590e+08 1.4718569795491770e+08 1.4589740042554820e+08 1.4441353780530009e+08 1.4271124653883830e+08 1.4076731994545543e+08 1.3855918087415135e+08 1.3606617826871726e+08 1.3305069200151658e+08 1.2967316926879650e+08 1.2593107990678532e+08 1.2183653839721394e+08 1.1741947609414412e+08 1.1272966245555706e+08 1.0783673040638778e+08 1.0282748562711792e+08 9.7800335426045403e+07 9.2856668583726466e+07 8.8091379266481519e+07 8.3585983673567653e+07 7.9402774310601175e+07 7.5576844208226144e+07 7.2120544324014753e+07 6.9028865998966143e+07 6.6282293786460534e+07 6.3853918185931370e+07 6.1712736984586075e+07 5.9829631926460005e+07 5.8175181884424575e+07 5.6725306386150964e+07 5.5456263597107142e+07 5.4350746091205694e+07 5.3390860626425073e+07 5.2561488920164965e+07 5.1850908722238339e+07 5.1246481017511070e+07 5.0736004512678601e+07 5.0310624725452378e+07 4.9959162213134617e+07 4.9673655700228192e+07 4.9444836196400024e+07 4.9264823524843745e+07 4.9122830139713354e+07 4.9008298361635961e+07 4.8913486723310448e+07 4.8830972365401164e+07 4.8753348979062900e+07 4.8698496834388584e+07 4.8643136345347263e+07 4.8586659923355170e+07 4.8527510453108899e+07 4.8466492880396210e+07 4.8401843440975629e+07 4.8335781881813221e+07 4.8262348794045262e+07 4.8183759677147582e+07 4.8098568383472532e+07 4.8005645651240520e+07 4.7903619237886980e+07 4.7790943281246684e+07 4.7665387996260799e+07 4.7527269553173661e+07 4.7371282334591411e+07 4.7196393368936002e+07 4.7000065028681137e+07 4.6779566422920711e+07 4.6532081302953675e+07 4.6254784855741754e+07 4.5944544500503823e+07 4.5601842849324115e+07 4.5220596803618945e+07 4.4802153119673721e+07 4.4347479776430629e+07 4.3860143054422595e+07 4.3346210740592659e+07 4.2817232200025335e+07 4.2290385844104990e+07 4.1793877427226581e+07 4.1363015239445619e+07 4.1053264062161632e+07 4.0941829166100062e+07 4.1140944485091560e+07 4.1813903247884266e+07 4.3208158707555883e+07 4.5715430088061377e+07 4.9995875153866708e+07 9.3203489326074645e+06 +1.0394364788262957e+01 1.5433078695274401e+08 1.5431542845939249e+08 1.5428937961776707e+08 1.5425473152067497e+08 1.5421893289841324e+08 1.5419395526316071e+08 1.5418528937769657e+08 1.5418375673929891e+08 1.5417969415960321e+08 1.5417061452630544e+08 1.5415698987360007e+08 1.5413829141719595e+08 1.5411348018053490e+08 1.5408151299519253e+08 1.5404130108762476e+08 1.5399150463359666e+08 1.5393052137717971e+08 1.5385649506246623e+08 1.5376725560252461e+08 1.5366023697357038e+08 1.5353242846157280e+08 1.5338022554415026e+08 1.5319858942894238e+08 1.5297884660568514e+08 1.5271187529067731e+08 1.5239310495811233e+08 1.5201698079658720e+08 1.5157492243783656e+08 1.5105647859852189e+08 1.5044965162309310e+08 1.4974085047036371e+08 1.4891479386986822e+08 1.4795445020840883e+08 1.4684104201719037e+08 1.4555415449807638e+08 1.4407195784752125e+08 1.4237163287057400e+08 1.4043002349030289e+08 1.3822460929773459e+08 1.3573480147260121e+08 1.3272334717666052e+08 1.2935055832384934e+08 1.2561398264764251e+08 1.2152579820276386e+08 1.1711597401898044e+08 1.1243427851632892e+08 1.0755029307237051e+08 1.0255071375855175e+08 9.7533779999184877e+07 9.2600665583802715e+07 8.7846022506232053e+07 8.3351117362324268e+07 7.9178010565195888e+07 7.5361617380664185e+07 7.1914166258048341e+07 6.8830578017588645e+07 6.6091318972095191e+07 6.3669496856160589e+07 6.1534153152882233e+07 5.9656220277128220e+07 5.8006339117465459e+07 5.6560482785707220e+07 5.5294967683764681e+07 5.4192528943001129e+07 5.3235320377958961e+07 5.2408264157602377e+07 5.1699669331378095e+07 5.1096931986372098e+07 5.0587884864371538e+07 5.0163697867299788e+07 4.9813223262402400e+07 4.9528521486156546e+07 4.9300349424306400e+07 4.9120848414283536e+07 4.8979260880977631e+07 4.8865058738505445e+07 4.8770521577923067e+07 4.8688247106858149e+07 4.8610850111441843e+07 4.8556158181412645e+07 4.8500959467641830e+07 4.8444648114557028e+07 4.8385671538133353e+07 4.8324832323297083e+07 4.8260371917213179e+07 4.8194503284702726e+07 4.8121284844832711e+07 4.8042925445991211e+07 4.7957983167352788e+07 4.7865332047762431e+07 4.7763603855581060e+07 4.7651257246868782e+07 4.7526069012086280e+07 4.7388354108622506e+07 4.7232822830054708e+07 4.7058445051143192e+07 4.6862690561452590e+07 4.6642836452141136e+07 4.6396074705969021e+07 4.6119588766453341e+07 4.5810255265007347e+07 4.5468555125393704e+07 4.5088423417495854e+07 4.4671202794599578e+07 4.4217858406610243e+07 4.3731946110307880e+07 4.3219515957411699e+07 4.2692083555941269e+07 4.2166777158810921e+07 4.1671719823917404e+07 4.1242116996895216e+07 4.0933271190202974e+07 4.0822162064543225e+07 4.1020695410506174e+07 4.1691687197896428e+07 4.3081867435225904e+07 4.5581810483635403e+07 4.9849744209128469e+07 9.2874672308311909e+06 +1.0399333111037215e+01 1.5397916151056206e+08 1.5396383719395778e+08 1.5393784598302540e+08 1.5390327392932704e+08 1.5386755072073966e+08 1.5384262002387550e+08 1.5383396026843664e+08 1.5383241414963150e+08 1.5382834023770761e+08 1.5381925622848836e+08 1.5380563214135331e+08 1.5378693946454808e+08 1.5376214050857583e+08 1.5373019316480640e+08 1.5369000966247720e+08 1.5364025149899933e+08 1.5357931798393762e+08 1.5350535459532249e+08 1.5341619326973605e+08 1.5330927042616615e+08 1.5318157825685447e+08 1.5302951582685283e+08 1.5284804979129270e+08 1.5262851610800675e+08 1.5236180082167065e+08 1.5204333710356578e+08 1.5166757749440435e+08 1.5122595199249628e+08 1.5070802160526416e+08 1.5010180321833336e+08 1.4939372298003504e+08 1.4856851993464616e+08 1.4760918643721935e+08 1.4649697321406704e+08 1.4521149847130945e+08 1.4373097083693978e+08 1.4203261545711586e+08 1.4009332681922758e+08 1.3789064118761358e+08 1.3540403187350664e+08 1.3239661344115582e+08 1.2902856199715202e+08 1.2529750285627547e+08 1.2121567726788571e+08 1.1681309151751798e+08 1.1213951256263407e+08 1.0726446985758299e+08 1.0227454960018104e+08 9.7267823237485826e+07 9.2345249681545541e+07 8.7601239075664133e+07 8.3116808923349127e+07 7.8953788178427622e+07 7.5146914968532652e+07 7.1708295806244493e+07 6.8632781463398263e+07 6.5900820342323095e+07 6.3485537616736591e+07 6.1356018554427378e+07 5.9483246266421959e+07 5.7837923610603452e+07 5.6396077227877736e+07 5.5134081663681500e+07 5.4034714539582476e+07 5.3080176634072617e+07 5.2255430484492630e+07 5.1548816375641763e+07 5.0947765417316742e+07 5.0440144308067143e+07 5.0017147279430084e+07 4.9667658232559383e+07 4.9383759267965041e+07 4.9156233087120898e+07 4.8977242493820891e+07 4.8836059814124964e+07 4.8722186485575892e+07 4.8627923111056939e+07 4.8545887917543478e+07 4.8468716734686628e+07 4.8414184608855657e+07 4.8359147255589701e+07 4.8303000548062257e+07 4.8244196421988353e+07 4.8183535107509628e+07 4.8119263249572866e+07 4.8053587049608544e+07 4.7980582707061134e+07 4.7902452436990447e+07 4.7817758534613274e+07 4.7725378331017062e+07 4.7623947595022552e+07 4.7511929489391267e+07 4.7387107363064483e+07 4.7249794964986816e+07 4.7094718456889614e+07 4.6920850553522043e+07 4.6725668442521483e+07 4.6506457176576823e+07 4.6260416948770158e+07 4.5984739438056447e+07 4.5676310464106455e+07 4.5335609268049978e+07 4.4956589039732322e+07 4.4540588340866111e+07 4.4088569499457031e+07 4.3604077975324117e+07 4.3093146130479440e+07 4.2567255902431555e+07 4.2043485513945132e+07 4.1549875539866149e+07 4.1121528843467213e+07 4.0813586085099280e+07 4.0702801894000366e+07 4.0900754759589761e+07 4.1569784616706379e+07 4.2955900084159866e+07 4.5448533596422426e+07 4.9703988072629094e+07 9.2546951977811623e+06 +1.0404301433811474e+01 1.5362810315776378e+08 1.5361281465983307e+08 1.5358688109910077e+08 1.5355238509092757e+08 1.5351673711433983e+08 1.5349185331694543e+08 1.5348319972345251e+08 1.5348164019968709e+08 1.5347755503723395e+08 1.5346846673748860e+08 1.5345484330871323e+08 1.5343615651641652e+08 1.5341136995813283e+08 1.5337944258791158e+08 1.5333928764070901e+08 1.5328956793917117e+08 1.5322868436147943e+08 1.5315478412563556e+08 1.5306570119689292e+08 1.5295887444411135e+08 1.5283129897346503e+08 1.5267937744667500e+08 1.5249808197642317e+08 1.5227875800637156e+08 1.5201229943793565e+08 1.5169414315614232e+08 1.5131874906034675e+08 1.5087755752998549e+08 1.5036014188296884e+08 1.4975453356717750e+08 1.4904717594254798e+08 1.4822282838897932e+08 1.4726450724905425e+08 1.4615349145895094e+08 1.4486943223741075e+08 1.4339057664019904e+08 1.4169419413681591e+08 1.3975722973808053e+08 1.3755727631324166e+08 1.3507386919982702e+08 1.3207049047453569e+08 1.2870717991470958e+08 1.2498164010072222e+08 1.2090617509939900e+08 1.1651082803340246e+08 1.1184536397501701e+08 1.0697926008158931e+08 1.0199899241538218e+08 9.7002464355190367e+07 9.2090420050848380e+07 8.7357028118279487e+07 8.2883057480063438e+07 7.8730106263320565e+07 7.4932736082781658e+07 7.1502932083823606e+07 6.8435475460704520e+07 6.5710797033489533e+07 6.3302039617604584e+07 6.1178332353406608e+07 5.9310709072427459e+07 5.7669934555349313e+07 5.6232088916477114e+07 5.4973604752058521e+07 5.3877302106307685e+07 5.2925428629218601e+07 5.2102987143150002e+07 5.1398349104247198e+07 5.0798980565561228e+07 5.0292782104090132e+07 4.9870972226528019e+07 4.9522466392042264e+07 4.9239368317182846e+07 4.9012486458976313e+07 4.8834005039662600e+07 4.8693226216984056e+07 4.8579680882293001e+07 4.8485690603410982e+07 4.8403894079312839e+07 4.8326948131722465e+07 4.8272575400511153e+07 4.8217698993822210e+07 4.8161716509315737e+07 4.8103084390945457e+07 4.8042600520192303e+07 4.7978516726257287e+07 4.7913032465661347e+07 4.7840241670869961e+07 4.7762339941482879e+07 4.7677893777887687e+07 4.7585783794891551e+07 4.7484649751609594e+07 4.7372959306055874e+07 4.7248502348214418e+07 4.7111591423183553e+07 4.6956968518413015e+07 4.6783609181987040e+07 4.6588997980631672e+07 4.6370427908168040e+07 4.6125107346982896e+07 4.5850236190270826e+07 4.5542709422130242e+07 4.5203004606581956e+07 4.4825093005255967e+07 4.4410309099554703e+07 4.3959612402732678e+07 4.3476538004436061e+07 4.2967100622281313e+07 4.2442748609705389e+07 4.1920510287597470e+07 4.1428343960382394e+07 4.1001250170755945e+07 4.0694208143118404e+07 4.0583748052342571e+07 4.0781121927249901e+07 4.1448194889269777e+07 4.2830256018872134e+07 4.5315598754079662e+07 4.9558606008980542e+07 9.2220324972759429e+06 +1.0409269756585733e+01 1.5327761778997716e+08 1.5326236180833077e+08 1.5323648533602786e+08 1.5320206499463093e+08 1.5316649210671106e+08 1.5314165517850503e+08 1.5313300777852082e+08 1.5313143492509994e+08 1.5312733859354991e+08 1.5311824608834663e+08 1.5310462341013503e+08 1.5308594260707736e+08 1.5306116856295666e+08 1.5302926129754865e+08 1.5298913505467215e+08 1.5293945398490754e+08 1.5287862054022875e+08 1.5280478368210384e+08 1.5271577941104952e+08 1.5260904905269161e+08 1.5248159063473889e+08 1.5232981042405519e+08 1.5214868600165302e+08 1.5192957231401649e+08 1.5166337114836797e+08 1.5134552311933300e+08 1.5097049549155027e+08 1.5052973903991285e+08 1.5001283941221771e+08 1.4940784263982308e+08 1.4870120931593579e+08 1.4787771917690775e+08 1.4692041257181090e+08 1.4581059666095713e+08 1.4452795568358719e+08 1.4305077511983958e+08 1.4135636874350682e+08 1.3942173204840884e+08 1.3722451443948027e+08 1.3474431317585060e+08 1.3174497795252264e+08 1.2838641169872759e+08 1.2466639394549000e+08 1.2059729120076950e+08 1.1620918300720504e+08 1.1155183213110402e+08 1.0669466306161273e+08 1.0172404146554649e+08 9.6737702564776644e+07 9.1836175864112601e+07 8.7113388776608005e+07 8.2649862155431584e+07 7.8506963932495981e+07 7.4719079833938450e+07 7.1298074205929995e+07 6.8238659133699119e+07 6.5521248181953855e+07 6.3119002008795306e+07 6.1001093714107640e+07 5.9138607873523042e+07 5.7502371143447295e+07 5.6068517055700697e+07 5.4813536164472781e+07 5.3720290868875101e+07 5.2771075598078564e+07 5.1950933376291841e+07 5.1248266766870767e+07 5.0650576686731949e+07 5.0145797513211034e+07 4.9725171973662287e+07 4.9377647009578764e+07 4.9095347905654110e+07 4.8869108814262904e+07 4.8691135328308336e+07 4.8550759367917396e+07 4.8437541208427720e+07 4.8343823336078614e+07 4.8262264874447487e+07 4.8185543586007528e+07 4.8131329840585597e+07 4.8076613967298515e+07 4.8020795284112386e+07 4.7962334731741026e+07 4.7902027848968826e+07 4.7838131635724723e+07 4.7772838822342440e+07 4.7700261026888929e+07 4.7622587251216538e+07 4.7538388190184444e+07 4.7446547733829893e+07 4.7345709621287212e+07 4.7234345994247347e+07 4.7110253266855031e+07 4.6973742784647740e+07 4.6819572318297729e+07 4.6646720242760494e+07 4.6452678484964371e+07 4.6234747959342629e+07 4.5990145216625087e+07 4.5716078343156770e+07 4.5409451463720404e+07 4.5070740470661528e+07 4.4693934649400100e+07 4.4280364412079670e+07 4.3830986464615673e+07 4.3349325552930735e+07 4.2841378795694165e+07 4.2318561048427269e+07 4.1797850858115606e+07 4.1307124471122220e+07 4.0881280370818727e+07 4.0575136760762259e+07 4.0464999937783137e+07 4.0661796308797471e+07 4.1326917401044309e+07 4.2704934604245052e+07 4.5183005284686975e+07 4.9413597283348933e+07 9.1894787940242849e+06 +1.0414238079359992e+01 1.5292769819842231e+08 1.5291247778272560e+08 1.5288665870037264e+08 1.5285231361595544e+08 1.5281681572365621e+08 1.5279202563985640e+08 1.5278338446455395e+08 1.5278179835645562e+08 1.5277769093693990e+08 1.5276859431109980e+08 1.5275497247573528e+08 1.5273629776558736e+08 1.5271153635146999e+08 1.5267964932154110e+08 1.5263955193146104e+08 1.5258990966296697e+08 1.5252912654496151e+08 1.5245535328840965e+08 1.5236642793461254e+08 1.5225979427213734e+08 1.5213245325849763e+08 1.5198081477437958e+08 1.5179986187914324e+08 1.5158095903972733e+08 1.5131501595701417e+08 1.5099747699159390e+08 1.5062281678006136e+08 1.5018249650650367e+08 1.4966611416867930e+08 1.4906173040179253e+08 1.4835582305356273e+08 1.4753319223773661e+08 1.4657690232835302e+08 1.4546828872439873e+08 1.4418706869242567e+08 1.4271156613362604e+08 1.4101913910636970e+08 1.3908683354724491e+08 1.3689235532716483e+08 1.3441536352159747e+08 1.3142007554665333e+08 1.2806625696747856e+08 1.2435176395156343e+08 1.2028902507229131e+08 1.1590815587670180e+08 1.1125891640617658e+08 1.0641067811239611e+08 1.0144969601002002e+08 9.6473537076998129e+07 9.1582516292529151e+07 8.6870320192154393e+07 8.2417222071332902e+07 7.8284360297928944e+07 7.4505945332297981e+07 7.1093721287389249e+07 6.8042331606638029e+07 6.5332172924110644e+07 6.2936423940569051e+07 6.0824301801080137e+07 5.8966941848324910e+07 5.7335232566899396e+07 5.5905360850007132e+07 5.4653875116597243e+07 5.3563680053277090e+07 5.2617116775792055e+07 5.1799268426970586e+07 5.1098568613504961e+07 5.0502553036764525e+07 4.9999189796484195e+07 4.9579745786374815e+07 4.9233199354373924e+07 4.8951697305698529e+07 4.8726099427856289e+07 4.8548632636740342e+07 4.8408658545592479e+07 4.8295766744185708e+07 4.8202320590570606e+07 4.8120999585635073e+07 4.8044502381300554e+07 4.7990447213644117e+07 4.7935891461467341e+07 4.7880236158693552e+07 4.7821946731392696e+07 4.7761816381843567e+07 4.7698107266955972e+07 4.7633005409589857e+07 4.7560640066099323e+07 4.7483193658376962e+07 4.7399241064850613e+07 4.7307669442506872e+07 4.7207126500305243e+07 4.7096088851910152e+07 4.6972359418849632e+07 4.6836248351213358e+07 4.6682529160656944e+07 4.6510183042564988e+07 4.6316709265029237e+07 4.6099416642903529e+07 4.5855529874163479e+07 4.5582265217252649e+07 4.5276535913892716e+07 4.4938816190435089e+07 4.4563113307818338e+07 4.4150753620309301e+07 4.3702691033566371e+07 4.3222439976492099e+07 4.2715980013903543e+07 4.2194692589604713e+07 4.1675506604227684e+07 4.1186216458159238e+07 4.0761618835940264e+07 4.0456371334944591e+07 4.0346556948861904e+07 4.0542777299796067e+07 4.1205951537735082e+07 4.2579935205546133e+07 4.5050752516598277e+07 4.9268961161244705e+07 9.1570337536234446e+06 +1.0419206402134250e+01 1.5257834822642329e+08 1.5256316267600185e+08 1.5253740083526096e+08 1.5250313095649809e+08 1.5246770798964307e+08 1.5244296472745910e+08 1.5243432980751511e+08 1.5243273051940712e+08 1.5242861209273979e+08 1.5241951143084258e+08 1.5240589052984369e+08 1.5238722201643685e+08 1.5236247334766310e+08 1.5233060668315855e+08 1.5229053829320100e+08 1.5224093499425611e+08 1.5218020239586297e+08 1.5210649296347097e+08 1.5201764678460613e+08 1.5191111011792180e+08 1.5178388685773885e+08 1.5163239050803131e+08 1.5145160961625400e+08 1.5123291818682969e+08 1.5096723386251846e+08 1.5065000476660872e+08 1.5027571291290298e+08 1.4983582990979353e+08 1.4931996612335327e+08 1.4871619681351629e+08 1.4801101710412467e+08 1.4718924750628147e+08 1.4623397643731999e+08 1.4512656754882425e+08 1.4384677114191785e+08 1.4237294953458446e+08 1.4068250505060863e+08 1.3875253402731240e+08 1.3656079873275378e+08 1.3408701995332815e+08 1.3109578292486987e+08 1.2774671533599029e+08 1.2403774967650436e+08 1.1998137621096601e+08 1.1560774607658158e+08 1.1096661617257446e+08 1.0612730454662374e+08 1.0117595530599608e+08 9.6209967101045236e+07 9.1329440505920485e+07 8.6627821505428880e+07 8.2185136349050358e+07 7.8062294471198067e+07 7.4293331687702551e+07 7.0889872442964375e+07 6.7846492003654301e+07 6.5143570396417670e+07 6.2754304563236363e+07 6.0647955779051870e+07 5.8795710175655849e+07 5.7168518018006250e+07 5.5742619504138187e+07 5.4494620824712090e+07 5.3407468885903001e+07 5.2463551397736169e+07 5.1647991538619705e+07 5.0949253894544646e+07 5.0354908872073412e+07 4.9852958215530358e+07 4.9434692930540904e+07 4.9089122696050197e+07 4.8808415789965108e+07 4.8583457575029559e+07 4.8406496242312804e+07 4.8266923029151410e+07 4.8154356770194501e+07 4.8061181648754135e+07 4.7980097495873176e+07 4.7903823801790647e+07 4.7849926804685585e+07 4.7795530762098745e+07 4.7740038419718497e+07 4.7681919677500524e+07 4.7621965407188244e+07 4.7558442909334727e+07 4.7493531517720401e+07 4.7421378079882525e+07 4.7344158455476955e+07 4.7260451695790954e+07 4.7169148216197163e+07 4.7068899685359538e+07 4.6958187177494764e+07 4.6834820104292661e+07 4.6699107425008222e+07 4.6545838349957488e+07 4.6373996888362482e+07 4.6181089630743966e+07 4.5964433271972023e+07 4.5721260636335365e+07 4.5448796133403845e+07 4.5143962098132007e+07 4.4807231096292041e+07 4.4432628316567682e+07 4.4021476066419676e+07 4.3574725458489254e+07 4.3095880631112374e+07 4.2590903640528001e+07 4.2071142604553737e+07 4.1553476905004695e+07 4.1065619307796597e+07 4.0642264958913371e+07 4.0337911262938797e+07 4.0228418484431222e+07 4.0424064296260573e+07 4.1085296685403921e+07 4.2455257188381948e+07 4.4918839778632231e+07 4.9124696908578336e+07 9.1246970425575599e+06 +1.0424174724908509e+01 1.5222956798267227e+08 1.5221441615360844e+08 1.5218871150039390e+08 1.5215451704227257e+08 1.5211916892796701e+08 1.5209447246338478e+08 1.5208584382799619e+08 1.5208423143458456e+08 1.5208010208135492e+08 1.5207099746748653e+08 1.5205737759225217e+08 1.5203871537860003e+08 1.5201397956976759e+08 1.5198213340006536e+08 1.5194209415720731e+08 1.5189252999517384e+08 1.5183184810822082e+08 1.5175820272100699e+08 1.5166943597334570e+08 1.5156299660019425e+08 1.5143589144086316e+08 1.5128453763054094e+08 1.5110392921551394e+08 1.5088544975412101e+08 1.5062002485946438e+08 1.5030310643293029e+08 1.4992918387251446e+08 1.4948973922440976e+08 1.4897439524188447e+08 1.4837124183091792e+08 1.4766679141117734e+08 1.4684588491222322e+08 1.4589163481219977e+08 1.4478543302937037e+08 1.4350706290554339e+08 1.4203492517151240e+08 1.4034646639629760e+08 1.3841883327697891e+08 1.3622984440850857e+08 1.3375928218285166e+08 1.3077209975080614e+08 1.2742778641510846e+08 1.2372435067418616e+08 1.1967434411059041e+08 1.1530795303839792e+08 1.1067493080014583e+08 1.0584454167450865e+08 1.0090281860892767e+08 9.5946991844363570e+07 9.1076947672805786e+07 8.6385891855817705e+07 8.1953604109147623e+07 7.7840765563347116e+07 7.4081238009870052e+07 7.0686526787289768e+07 6.7651139448870301e+07 6.4955439735517323e+07 6.2572643027274989e+07 6.0472054812934309e+07 5.8624912034691311e+07 5.7002226689445280e+07 5.5580292223236032e+07 5.4335772505299300e+07 5.3251656593527563e+07 5.2310378699812934e+07 5.1497101955152363e+07 5.0800321860783838e+07 5.0207643449474074e+07 4.9707102032219045e+07 4.9290012672425084e+07 4.8945416304600090e+07 4.8665502631556399e+07 4.8441182531418562e+07 4.8264725422822185e+07 4.8125552098124027e+07 4.8013310567452952e+07 4.7920405793007493e+07 4.7839557888693646e+07 4.7763507132054545e+07 4.7709767899162062e+07 4.7655531155419804e+07 4.7600201354214899e+07 4.7542252857946977e+07 4.7482474213845022e+07 4.7419137852600269e+07 4.7354416437448740e+07 4.7282474360086761e+07 4.7205480935480401e+07 4.7122019377082594e+07 4.7030983350385495e+07 4.6931028473414123e+07 4.6820640269592591e+07 4.6697634623752296e+07 4.6562319308641136e+07 4.6409499191069476e+07 4.6238161087695226e+07 4.6045818892505594e+07 4.5829797160136856e+07 4.5587336820403151e+07 4.5315670412885986e+07 4.5011729342239685e+07 4.4675984519120060e+07 4.4302479012087315e+07 4.3892531093021177e+07 4.3447089088614605e+07 4.2969646873264618e+07 4.2466149039468415e+07 4.1947910465003259e+07 4.1431761139919393e+07 4.0945332406821258e+07 4.0523218132734828e+07 4.0219755942315981e+07 4.0110583943763576e+07 4.0305656694457449e+07 4.0964952230500355e+07 4.2330899918704413e+07 4.4787266399945244e+07 4.8980803791732974e+07 9.0924683281959519e+06 +1.0429143047682768e+01 1.5188135651790386e+08 1.5186623821591234e+08 1.5184059104097638e+08 1.5180647189676875e+08 1.5177119855964223e+08 1.5174654886464787e+08 1.5173792654211077e+08 1.5173630111769304e+08 1.5173216091817167e+08 1.5172305243622965e+08 1.5170943367763540e+08 1.5169077786635312e+08 1.5166605503192240e+08 1.5163422948566473e+08 1.5159421953560907e+08 1.5154469467692176e+08 1.5148406369192734e+08 1.5141048256971529e+08 1.5132179550791171e+08 1.5121545372429726e+08 1.5108846701075250e+08 1.5093725614247441e+08 1.5075682067414305e+08 1.5053855373510551e+08 1.5027338893666562e+08 1.4995678197435141e+08 1.4958322963618687e+08 1.4914422442010558e+08 1.4862940148568922e+08 1.4802686540465587e+08 1.4732314591388181e+08 1.4650310438061163e+08 1.4554987736203119e+08 1.4444488505616769e+08 1.4316794385202861e+08 1.4169749288853806e+08 1.4001102295977116e+08 1.3808573108040074e+08 1.3589949210255820e+08 1.3343214991798033e+08 1.3044902568456276e+08 1.2710946981214359e+08 1.2341156649526431e+08 1.1936792826169565e+08 1.1500877619121656e+08 1.1038385965615311e+08 1.0556238880383316e+08 1.0063028517217617e+08 9.5684610512938991e+07 9.0825036960397020e+07 8.6144530381794304e+07 8.1722624471440628e+07 7.7619772684873819e+07 7.3869663408098891e+07 7.0483683434837103e+07 6.7456273066371411e+07 6.4767780078008197e+07 6.2391438483444892e+07 6.0296598067893788e+07 5.8454546604803339e+07 5.6836357774027869e+07 5.5418378212714247e+07 5.4177329375207871e+07 5.3096242403229579e+07 5.2157597918213196e+07 5.1346598920683071e+07 5.0651771763387434e+07 5.0060756026140854e+07 4.9561620508931912e+07 4.9145704278788984e+07 4.8802079450415105e+07 4.8522957104061730e+07 4.8299273573200464e+07 4.8123319456529543e+07 4.7984545032462828e+07 4.7872627417423703e+07 4.7779992306048311e+07 4.7699380048039712e+07 4.7623551657195888e+07 4.7569969782879807e+07 4.7515891928082973e+07 4.7460724249670491e+07 4.7402945561077647e+07 4.7343342091030151e+07 4.7280191386915542e+07 4.7215659459952720e+07 4.7143928198914535e+07 4.7067160391789347e+07 4.6983943403445311e+07 4.6893174141099535e+07 4.6793512162106007e+07 4.6683447427392930e+07 4.6560802278286718e+07 4.6425883305146165e+07 4.6273510989327401e+07 4.6102674948330462e+07 4.5910896360976227e+07 4.5695507621375926e+07 4.5453757743918769e+07 4.5182887377378307e+07 4.4879836972407199e+07 4.4545075790135160e+07 4.4172664731245391e+07 4.3763918043008819e+07 4.3319781273590922e+07 4.2843738059658788e+07 4.2341715575095855e+07 4.1824995543016821e+07 4.1310358688740283e+07 4.0825355142269865e+07 4.0404477750792988e+07 4.0101904771005429e+07 3.9993052726409607e+07 4.0187553891091458e+07 4.0844917559776954e+07 4.2206862762870692e+07 4.4656031710152693e+07 4.8837281077515118e+07 9.0603472787914407e+06 +1.0434111370457027e+01 1.5153371385793558e+08 1.5151862964031821e+08 1.5149303973300216e+08 1.5145899553290358e+08 1.5142379690237027e+08 1.5139919394335485e+08 1.5139057796068639e+08 1.5138893957939145e+08 1.5138478861370426e+08 1.5137567634703451e+08 1.5136205879594341e+08 1.5134340948907751e+08 1.5131869974248013e+08 1.5128689494779393e+08 1.5124691443575212e+08 1.5119742904592240e+08 1.5113684915243444e+08 1.5106333251380804e+08 1.5097472539085555e+08 1.5086848149102387e+08 1.5074161356590369e+08 1.5059054603928369e+08 1.5041028398468396e+08 1.5019223011870784e+08 1.4992732607855463e+08 1.4961103136980325e+08 1.4923785017662117e+08 1.4879928546219513e+08 1.4828498481114188e+08 1.4768306748094594e+08 1.4698008054627645e+08 1.4616090583188245e+08 1.4520870399109620e+08 1.4410492351494238e+08 1.4282941384586021e+08 1.4136065252553195e+08 1.3967617455252820e+08 1.3775322721743506e+08 1.3556974155892944e+08 1.3310562286277665e+08 1.3012656038220766e+08 1.2679176513089523e+08 1.2309939668691865e+08 1.1906212815171383e+08 1.1471021496085206e+08 1.1009340210502724e+08 1.0528084524031596e+08 1.0035835424726938e+08 9.5422822311004117e+07 9.0573707534665331e+07 8.5903736220919162e+07 8.1492196555038884e+07 7.7399314945863277e+07 7.3658606991396099e+07 7.0281341499889597e+07 6.7261891980370224e+07 6.4580590560627699e+07 6.2210690082501568e+07 6.0121584709323913e+07 5.8284613065609515e+07 5.6670910464964919e+07 5.5256876678292356e+07 5.4019290651618220e+07 5.2941225542431220e+07 5.2005208289489493e+07 5.1196481679904796e+07 5.0503602853878930e+07 4.9914245859616838e+07 4.9416512908439048e+07 4.9001767016779684e+07 4.8659111404445626e+07 4.8380778481361561e+07 4.8157729976830870e+07 4.7982277621988155e+07 4.7843901112616561e+07 4.7732306602026753e+07 4.7639940471080996e+07 4.7559563258214258e+07 4.7483956662649170e+07 4.7430531742053457e+07 4.7376612367185436e+07 4.7321606393988013e+07 4.7263997075619683e+07 4.7204568328437768e+07 4.7141602802952759e+07 4.7077259876753263e+07 4.7005738889003798e+07 4.6929196118186258e+07 4.6846223069900379e+07 4.6755719884763941e+07 4.6656350049211703e+07 4.6546607950460769e+07 4.6424322369225368e+07 4.6289798717892334e+07 4.6137873050386913e+07 4.5967537778628774e+07 4.5776321347339496e+07 4.5561563970077254e+07 4.5320522724915661e+07 4.5050446348961495e+07 4.4748284315316528e+07 4.4414504241031833e+07 4.4043184811224334e+07 4.3635636259831779e+07 4.3192801363459647e+07 4.2718153547525607e+07 4.2217602612069495e+07 4.1702397211088024e+07 4.1189268931686483e+07 4.0705686901613191e+07 4.0286043206880234e+07 3.9984357147363797e+07 3.9875824232323535e+07 4.0069755283136338e+07 4.0725192060448885e+07 4.2083145087606452e+07 4.4525135039244615e+07 4.8694128033165127e+07 9.0283335634787492e+06 +1.0439079693231285e+01 1.5118664098903817e+08 1.5117158978449997e+08 1.5114605763096905e+08 1.5111208796933228e+08 1.5107696396957421e+08 1.5105240770693719e+08 1.5104379808993843e+08 1.5104214682543355e+08 1.5103798517340803e+08 1.5102886920538542e+08 1.5101525295185903e+08 1.5099661025139877e+08 1.5097191370561495e+08 1.5094012978972441e+08 1.5090017886012030e+08 1.5085073310354829e+08 1.5079020449015388e+08 1.5071675255212224e+08 1.5062822561942098e+08 1.5052207989547619e+08 1.5039533109943500e+08 1.5024440731189227e+08 1.5006431913489044e+08 1.4984647888896579e+08 1.4958183626468405e+08 1.4926585459334567e+08 1.4889304546147048e+08 1.4845492231091371e+08 1.4794114516974524e+08 1.4733984800138465e+08 1.4663759523810980e+08 1.4581928918173414e+08 1.4486811459916654e+08 1.4376554828703886e+08 1.4249147274668273e+08 1.4102440391759503e+08 1.3934192098201463e+08 1.3742132146357647e+08 1.3524059251734611e+08 1.3277970071688814e+08 1.2980470349606538e+08 1.2647467197128975e+08 1.2278784079264413e+08 1.1875694326476645e+08 1.1441226877036618e+08 1.0980355750884685e+08 1.0499991028737269e+08 1.0008702508366731e+08 9.5161626441364497e+07 9.0322958560321406e+07 8.5663508509687245e+07 8.1262319478318259e+07 7.7179391455848277e+07 7.3448067868547857e+07 7.0079500096703440e+07 6.7067995314880729e+07 6.4393870320278935e+07 6.2030396975516669e+07 5.9947013902854271e+07 5.8115110597054929e+07 5.6505883955803789e+07 5.5095786826124370e+07 5.3861655552078746e+07 5.2786605239004686e+07 5.1853209050641254e+07 5.1046749477760039e+07 5.0355814384353183e+07 4.9768112207980543e+07 4.9271778493870556e+07 4.8858200153931759e+07 4.8516511437861897e+07 4.8238966037858337e+07 4.8016551019324668e+07 4.7841599198359907e+07 4.7703619619346775e+07 4.7592347403553434e+07 4.7500249571693935e+07 4.7420106803960703e+07 4.7344721434272029e+07 4.7291453063446052e+07 4.7237691760160282e+07 4.7182847075474083e+07 4.7125406690844007e+07 4.7066152216102891e+07 4.7003371391693376e+07 4.6939216979921103e+07 4.6867905723418385e+07 4.6791587408917725e+07 4.6708857671964206e+07 4.6618619878255337e+07 4.6519541433176428e+07 4.6410121138790078e+07 4.6288194198410653e+07 4.6154064850818291e+07 4.6002584680400938e+07 4.5832748887204446e+07 4.5642093163181685e+07 4.5427965521025524e+07 4.5187631081822045e+07 4.4918346650089867e+07 4.4617070697972171e+07 4.4284269203781299e+07 4.3914038589676574e+07 4.3507685087229952e+07 4.3066148708634816e+07 4.2592892694359623e+07 4.2093809515492663e+07 4.1580114842004023e+07 4.1068491249290295e+07 4.0586327072673634e+07 4.0167913895112045e+07 3.9867112470022246e+07 3.9758897861798041e+07 3.9952260268008821e+07 4.0605775120051220e+07 4.1959746260029927e+07 4.4394575717594564e+07 4.8551343926384926e+07 8.9964268522727359e+06 +1.0444048016005544e+01 1.5084013715044847e+08 1.5082511907541817e+08 1.5079964447197697e+08 1.5076574923677596e+08 1.5073069976982239e+08 1.5070619015716314e+08 1.5069758693115905e+08 1.5069592285689393e+08 1.5069175059796491e+08 1.5068263101139539e+08 1.5066901614557832e+08 1.5065038015257350e+08 1.5062569692006472e+08 1.5059393400984818e+08 1.5055401280621687e+08 1.5050460684653109e+08 1.5044412970034969e+08 1.5037074267870948e+08 1.5028229618628311e+08 1.5017624892868325e+08 1.5004961960017666e+08 1.4989883994621024e+08 1.4971892610757601e+08 1.4950130002494186e+08 1.4923691946963337e+08 1.4892125161440602e+08 1.4854881545361638e+08 1.4811113492173836e+08 1.4759788250837162e+08 1.4699720690244856e+08 1.4629568991401756e+08 1.4547825434136397e+08 1.4452810908115035e+08 1.4342675924887177e+08 1.4215412040971759e+08 1.4068874689570287e+08 1.3900826205102503e+08 1.3709001359020668e+08 1.3491204471346962e+08 1.3245438317625891e+08 1.2948345467439592e+08 1.2615818992963316e+08 1.2247689835273783e+08 1.1845237308195272e+08 1.1411493703985040e+08 1.0951432522727436e+08 1.0471958324615562e+08 9.9816296929107621e+07 9.4901022105094939e+07 9.0072789200754523e+07 8.5423846383666515e+07 8.1032992358986109e+07 7.6960001324132606e+07 7.3238045148072600e+07 6.9878158339418918e+07 6.6874582194168232e+07 6.4207618493868798e+07 6.1850558313682973e+07 5.9772884814315781e+07 5.7946038379305817e+07 5.6341277440312311e+07 5.4935107862561442e+07 5.3704423294595778e+07 5.2632380721216068e+07 5.1701599439021692e+07 5.0897401559750475e+07 5.0208405607169613e+07 4.9622354329661377e+07 4.9127416528891630e+07 4.8715002958249256e+07 4.8374278822440997e+07 4.8097519048394389e+07 4.7875735978073835e+07 4.7701283465097673e+07 4.7563699833938591e+07 4.7452749104762889e+07 4.7360918891942523e+07 4.7281009970580667e+07 4.7205845258468591e+07 4.7152733034148201e+07 4.7099129394999750e+07 4.7044445582909986e+07 4.6987173696329646e+07 4.6928093044581749e+07 4.6865496444641568e+07 4.6801530061822198e+07 4.6730427995746054e+07 4.6654333558621094e+07 4.6571846505485207e+07 4.6481873418748379e+07 4.6383085612677008e+07 4.6273986292785510e+07 4.6152417068113938e+07 4.6018681008100428e+07 4.5867645185929522e+07 4.5698307583216816e+07 4.5508211120453171e+07 4.5294711589429334e+07 4.5055082133436650e+07 4.4786587603708521e+07 4.4486195447830975e+07 4.4154370010901988e+07 4.3785225404652409e+07 4.3380063869330391e+07 4.2939822659933530e+07 4.2467954858191691e+07 4.1970335650873594e+07 4.1458147809006758e+07 4.0948025022501402e+07 4.0467275043642640e+07 4.0050089209997691e+07 3.9750170138025783e+07 3.9642273015529417e+07 3.9835068243485160e+07 4.0486666126441754e+07 4.1836665647614628e+07 4.4264353076003015e+07 4.8408928025238328e+07 8.9646268160668034e+06 +1.0449016338779803e+01 1.5049420220498753e+08 1.5047921810364711e+08 1.5045380021094185e+08 1.5041997935487327e+08 1.5038500430577195e+08 1.5036054129092106e+08 1.5035194448061696e+08 1.5035026766952738e+08 1.5034608488337287e+08 1.5033696176059091e+08 1.5032334837213776e+08 1.5030471918734288e+08 1.5028004938013998e+08 1.5024830760146800e+08 1.5020841626655155e+08 1.5015905026634866e+08 1.5009862477363324e+08 1.5002530288306090e+08 1.4993693707906222e+08 1.4983098857638797e+08 1.4970447905135006e+08 1.4955384392324457e+08 1.4937410488069698e+08 1.4915669350086689e+08 1.4889257566322517e+08 1.4857722239721918e+08 1.4820516011129886e+08 1.4776792324534893e+08 1.4725519676905766e+08 1.4665514411608756e+08 1.4595436449430239e+08 1.4513780121679106e+08 1.4418868732763773e+08 1.4308855627253300e+08 1.4181735668596402e+08 1.4035368128623977e+08 1.3867519755830371e+08 1.3675930336436081e+08 1.3458409787893912e+08 1.3212966993285196e+08 1.2916281356205110e+08 1.2584231859891275e+08 1.2216656890433642e+08 1.1814841708129171e+08 1.1381821918674143e+08 1.0922570461699535e+08 1.0443986341568716e+08 9.9546169029398590e+07 9.4641008501834735e+07 8.9823198618230805e+07 8.5184748977516159e+07 8.0804214314185455e+07 7.6741143659296140e+07 7.3028537938289627e+07 6.9677315342055812e+07 6.6681651742327847e+07 6.4021834218525186e+07 6.1671173248351917e+07 5.9599196609835654e+07 5.7777395592986755e+07 5.6177090112749383e+07 5.4774838994455941e+07 5.3547593097338468e+07 5.2478551217656620e+07 5.1550378692465298e+07 5.0748437171623766e+07 5.0061375775173582e+07 4.9476971483483903e+07 4.8983426277548037e+07 4.8572174698176883e+07 4.8232412830324814e+07 4.7956436788225777e+07 4.7735284130869724e+07 4.7561329702206217e+07 4.7424141038106114e+07 4.7313510988873467e+07 4.7221947716318443e+07 4.7142272043667741e+07 4.7067327421917059e+07 4.7014370941749662e+07 4.6960924560079679e+07 4.6906401205498405e+07 4.6849297382153533e+07 4.6790390104863077e+07 4.6727977253689140e+07 4.6664198415390529e+07 4.6593304999850444e+07 4.6517433862416513e+07 4.6435188866849445e+07 4.6345479804010682e+07 4.6246981886955537e+07 4.6138202713270232e+07 4.6016990281013086e+07 4.5883646494498186e+07 4.5733053873939104e+07 4.5564213176196240e+07 4.5374674531587251e+07 4.5161801490957774e+07 4.4922875199092388e+07 4.4655168533084549e+07 4.4355657892708652e+07 4.4024805995247908e+07 4.3656744594578817e+07 4.3252771950730599e+07 4.2813822568556115e+07 4.2343339397323862e+07 4.1847180384016000e+07 4.1336495485733010e+07 4.0827869632624343e+07 4.0348530203115568e+07 3.9932568546438545e+07 3.9633529550808556e+07 3.9525949094572254e+07 3.9718178607665695e+07 4.0367864467929661e+07 4.1713902618275359e+07 4.4134466445665449e+07 4.8266879598384909e+07 8.9329331266311947e+06 +1.0453984661554061e+01 1.5014883583599570e+08 1.5013388608329847e+08 1.5010852491947135e+08 1.5007477830817088e+08 1.5003987757303742e+08 1.5001546109956571e+08 1.5000687072998026e+08 1.5000518125473943e+08 1.5000098802034101e+08 1.4999186144351006e+08 1.4997824962177271e+08 1.4995962734551728e+08 1.4993497107489935e+08 1.4990325055329207e+08 1.4986338922899729e+08 1.4981406335023966e+08 1.4975368969591638e+08 1.4968043314953741e+08 1.4959214828084680e+08 1.4948629881962529e+08 1.4935990943207628e+08 1.4920941921931994e+08 1.4902985542747259e+08 1.4881265928622845e+08 1.4854880481039810e+08 1.4823376690170708e+08 1.4786207938804683e+08 1.4742528722814834e+08 1.4691308788921425e+08 1.4631365956966692e+08 1.4561361889435771e+08 1.4479792971021247e+08 1.4384984922464210e+08 1.4275093922550622e+08 1.4148118142168611e+08 1.4001920691122860e+08 1.3834272729821172e+08 1.3642919054892501e+08 1.3425675174112785e+08 1.3180556067463800e+08 1.2884277979974115e+08 1.2552705756819043e+08 1.2185685198077470e+08 1.1784507473755056e+08 1.1352211462548128e+08 1.0893769503247441e+08 1.0416075009264351e+08 9.9276640628326222e+07 9.4381584829678804e+07 8.9574185973730549e+07 8.4946215425002605e+07 8.0575984460331962e+07 7.6522817569659948e+07 7.2819545347168460e+07 6.9476970218508288e+07 6.6489203083662964e+07 6.3836516631453224e+07 6.1492240931160018e+07 5.9425948455811650e+07 5.7609181418783449e+07 5.6013321167498693e+07 5.4614979428947844e+07 5.3391164179134749e+07 5.2325115957328066e+07 5.1399546049125358e+07 5.0599855559712522e+07 4.9914724141581193e+07 4.9331962928790934e+07 4.8839807004270427e+07 4.8429714642626703e+07 4.8090912734124087e+07 4.7815718533056147e+07 4.7595194756049983e+07 4.7421737190081514e+07 4.7284942514009185e+07 4.7174632339521304e+07 4.7083335329764009e+07 4.7003892309311539e+07 4.6929167211898074e+07 4.6876366074263498e+07 4.6823076544217840e+07 4.6768713232897140e+07 4.6711777038819253e+07 4.6653042688293360e+07 4.6590813111229874e+07 4.6527221333919927e+07 4.6456536030161500e+07 4.6380887615845360e+07 4.6298884052838318e+07 4.6209438332177565e+07 4.6111229555610694e+07 4.6002769701538116e+07 4.5881913140211970e+07 4.5748960615072757e+07 4.5598810051880844e+07 4.5430464976107493e+07 4.5241482709436558e+07 4.5029234541643538e+07 4.4791009598407954e+07 4.4524088762003049e+07 4.4225457360931039e+07 4.3895576490041636e+07 4.3528595498313859e+07 4.3125808676404126e+07 4.2688147786149509e+07 4.2219045670509301e+07 4.1724343081234917e+07 4.1215157246122979e+07 4.0708024461370267e+07 4.0230091940006413e+07 3.9815351299647205e+07 3.9517190108123340e+07 3.9409925500295937e+07 3.9601590759082854e+07 4.0249369533202216e+07 4.1591456540307075e+07 4.4004915158220723e+07 4.8125197914795183e+07 8.9013454566113185e+06 +1.0458952984328320e+01 1.4980403883599871e+08 1.4978912324908313e+08 1.4976381849882096e+08 1.4973014605872163e+08 1.4969531955996346e+08 1.4967094956956515e+08 1.4966236566620761e+08 1.4966066359878498e+08 1.4965645999516466e+08 1.4964733004605889e+08 1.4963371988007635e+08 1.4961510461200538e+08 1.4959046198889601e+08 1.4955876284910318e+08 1.4951893167676517e+08 1.4946964608018833e+08 1.4940932444812876e+08 1.4933613345771298e+08 1.4924792976951650e+08 1.4914217963479930e+08 1.4901591071655926e+08 1.4886556580582550e+08 1.4868617771623719e+08 1.4846919734603938e+08 1.4820560687158513e+08 1.4789088508257967e+08 1.4751957323227790e+08 1.4708322681109837e+08 1.4657155580157161e+08 1.4597275318587893e+08 1.4527345302513301e+08 1.4445863971862805e+08 1.4351159465332273e+08 1.4241390797096175e+08 1.4114559445879903e+08 1.3968532358851534e+08 1.3801085106069028e+08 1.3609967490263370e+08 1.3393000602359961e+08 1.3148205508558752e+08 1.2852335302470711e+08 1.2521240642323822e+08 1.2154774711233893e+08 1.1754234552261631e+08 1.1322662276787382e+08 1.0865029582577071e+08 1.0388224257163043e+08 9.9007710967990607e+07 9.4122750285184398e+07 8.9325750427043885e+07 8.4708244858909726e+07 8.0348301913118392e+07 7.6305022163128495e+07 7.2611066482588470e+07 6.9277122082708225e+07 6.6297235342381343e+07 6.3651664869989969e+07 6.1313760513931632e+07 5.9253139518864259e+07 5.7441395037870102e+07 5.5849969799498208e+07 5.4455528373552971e+07 5.3235135758939229e+07 5.2172074169637069e+07 5.1249100747599207e+07 5.0451655970625751e+07 4.9768449960151471e+07 4.9187327925324731e+07 4.8696557974071890e+07 4.8287622060857505e+07 4.7949777806867868e+07 4.7675363559050180e+07 4.7455467132373080e+07 4.7282505209562272e+07 4.7146103544235148e+07 4.7036112440796912e+07 4.6945081017674305e+07 4.6865870054098293e+07 4.6791363916070648e+07 4.6738717720152073e+07 4.6685584636679165e+07 4.6631380955174685e+07 4.6574611957315326e+07 4.6516050086782239e+07 4.6454003310010433e+07 4.6390598111152165e+07 4.6320120381519020e+07 4.6244694114825755e+07 4.6162931360669009e+07 4.6073748301821262e+07 4.5975827918776885e+07 4.5867686559330016e+07 4.5747184949321553e+07 4.5614622675476916e+07 4.5464913027571499e+07 4.5297062293406092e+07 4.5108634967262089e+07 4.4897010058031335e+07 4.4659484651564129e+07 4.4393347614609748e+07 4.4095593181197219e+07 4.3766680829075791e+07 4.3400777455150902e+07 4.2999173391751386e+07 4.2562797664738856e+07 4.2095073036912665e+07 4.1601823109186098e+07 4.1094132464601941e+07 4.0588488890815713e+07 4.0111959643721677e+07 3.9698436865305126e+07 3.9401151210158795e+07 3.9294201634558514e+07 3.9485304096615739e+07 4.0131180711301647e+07 4.1469326782331273e+07 4.3875698545700423e+07 4.7983882244029112e+07 8.8698634795261119e+06 +1.0463921307102579e+01 1.4945981125368226e+08 1.4944492891366330e+08 1.4941968094918582e+08 1.4938608257625762e+08 1.4935133024736440e+08 1.4932700668186212e+08 1.4931842927128601e+08 1.4931671468315381e+08 1.4931250078907520e+08 1.4930336754918376e+08 1.4928975912759471e+08 1.4927115096722683e+08 1.4924652210168120e+08 1.4921484446775517e+08 1.4917504358773217e+08 1.4912579843322948e+08 1.4906552900626698e+08 1.4899240378240314e+08 1.4890428151840144e+08 1.4879863099315947e+08 1.4867248287378812e+08 1.4852228364951468e+08 1.4834307171072608e+08 1.4812630763990551e+08 1.4786298180238992e+08 1.4754857689043015e+08 1.4717764158813968e+08 1.4674174193087083e+08 1.4623060043422508e+08 1.4563242488254356e+08 1.4493386679275921e+08 1.4411993113479841e+08 1.4317392349061838e+08 1.4207746236729598e+08 1.4081059563478476e+08 1.3935203113136500e+08 1.3767956863174614e+08 1.3577075618018538e+08 1.3360386044572192e+08 1.3115915284589301e+08 1.2820453287032852e+08 1.2489836474612764e+08 1.2123925382597297e+08 1.1724022890503448e+08 1.1293174302271728e+08 1.0836350634609565e+08 1.0360434014508428e+08 9.8739379288769841e+07 9.3864504063361049e+07 8.9077891136862814e+07 8.4470836411275759e+07 8.0121165787748098e+07 7.6087756547108546e+07 7.2403100452066213e+07 6.9077770048457161e+07 6.6105747642788440e+07 6.3467278071651846e+07 6.1135731148653425e+07 5.9080768965825647e+07 5.7274035631660908e+07 5.5687035203852490e+07 5.4296485036125354e+07 5.3079507056263849e+07 5.2019425084427282e+07 5.1099042026834019e+07 5.0303837651505873e+07 4.9622552484934039e+07 4.9043065733216353e+07 4.8553678452232219e+07 4.8145896222663321e+07 4.7809007322070859e+07 4.7535371142815121e+07 4.7316100539017156e+07 4.7143633041972883e+07 4.7007623411868364e+07 4.6897950577251829e+07 4.6807184065904692e+07 4.6728204565036632e+07 4.6653916822557040e+07 4.6601425168312840e+07 4.6548448127190940e+07 4.6494403662943676e+07 4.6437801429065660e+07 4.6379411592630081e+07 4.6317547143328324e+07 4.6254328041295081e+07 4.6184057349200904e+07 4.6108852655926839e+07 4.6027330088014886e+07 4.5938409011963375e+07 4.5840776276962765e+07 4.5732952588824347e+07 4.5612805012286536e+07 4.5480631981716834e+07 4.5331362109320432e+07 4.5164004438870899e+07 4.4976130618814103e+07 4.4765127357031040e+07 4.4528299679056667e+07 4.4262944415505491e+07 4.3966064682645530e+07 4.3638118346449628e+07 4.3273289804786250e+07 4.2872865442564569e+07 4.2437771556787662e+07 4.1971420856128342e+07 4.1479619834943548e+07 4.0973420515984818e+07 4.0469262303491905e+07 3.9994132703956403e+07 3.9581824639439948e+07 3.9285412257480137e+07 3.9178776899472065e+07 3.9369318019537680e+07 4.0013297391669430e+07 4.1347512713517316e+07 4.3746815940628141e+07 4.7842931856012098e+07 8.8384868697663024e+06 +1.0468889629876838e+01 1.4911615228034234e+08 1.4910130340847293e+08 1.4907611225379270e+08 1.4904258785235211e+08 1.4900790960928991e+08 1.4898363241253820e+08 1.4897506152291837e+08 1.4897333448457491e+08 1.4896911037859926e+08 1.4895997392895600e+08 1.4894636734019598e+08 1.4892776638628334e+08 1.4890315138819265e+08 1.4887149538369805e+08 1.4883172493558228e+08 1.4878252038195679e+08 1.4872230334204009e+08 1.4864924409392050e+08 1.4856120349611375e+08 1.4845565286144733e+08 1.4832962586830017e+08 1.4817957271228716e+08 1.4800053736973065e+08 1.4778399012328362e+08 1.4752092955344641e+08 1.4720684227051282e+08 1.4683628439499983e+08 1.4640083251953924e+08 1.4589022171038687e+08 1.4529267457314447e+08 1.4459486009923616e+08 1.4378180384695035e+08 1.4283683560883623e+08 1.4174160226890123e+08 1.4047618478287312e+08 1.3901932934893349e+08 1.3734887979293469e+08 1.3544243413192329e+08 1.3327831472290507e+08 1.3083685363191047e+08 1.2788631896621653e+08 1.2458493211549219e+08 1.2093137164525439e+08 1.1693872435054660e+08 1.1263747479628181e+08 1.0807732594067331e+08 1.0332704210335138e+08 9.8471644828984886e+07 9.3606845357844919e+07 8.8830607260591984e+07 8.4233989213083953e+07 7.9894575198745966e+07 7.5871019828744888e+07 7.2195646363066927e+07 6.8878913229513794e+07 6.5914739109343313e+07 6.3283355374134667e+07 6.0958151987640239e+07 5.8908835964036971e+07 5.7107102381930739e+07 5.5524516576126769e+07 5.4137848624903060e+07 5.2924277290912449e+07 5.1867167931914620e+07 5.0949369126381680e+07 5.0156399849870346e+07 4.9477030970582448e+07 4.8899175613124177e+07 4.8411167704651691e+07 4.8004536398337968e+07 4.7668600553716458e+07 4.7395740561441079e+07 4.7177094255657271e+07 4.7005119969115905e+07 4.6869501400435962e+07 4.6760146033947267e+07 4.6669643760763578e+07 4.6590895129574567e+07 4.6516825219967298e+07 4.6464487708169043e+07 4.6411666305986606e+07 4.6357780647154741e+07 4.6301344745959930e+07 4.6243126498594411e+07 4.6181443904903635e+07 4.6118410419061825e+07 4.6048346228926226e+07 4.5973362535931155e+07 4.5892079533056825e+07 4.5803419762188017e+07 4.5706073931134060e+07 4.5598567092673801e+07 4.5478772633627132e+07 4.5346987840246372e+07 4.5198156605916597e+07 4.5031290723846011e+07 4.4843968978238933e+07 4.4633585756023064e+07 4.4397454001908071e+07 4.4132878489775740e+07 4.3836871194797680e+07 4.3509888376742013e+07 4.3146131887346126e+07 4.2746884175074801e+07 4.2313068815151237e+07 4.1848088488081060e+07 4.1357732625968501e+07 4.0853020775446892e+07 4.0350344082257509e+07 3.9876610510852486e+07 3.9465514018476710e+07 3.9169972651006036e+07 3.9063650697670549e+07 3.9253631927512594e+07 3.9895718964155301e+07 4.1226013703274317e+07 4.3618266675872006e+07 4.7702346021262668e+07 8.8072153025928363e+06 +1.0473857952651096e+01 1.4877306236853424e+08 1.4875824702148795e+08 1.4873311233596659e+08 1.4869966188521844e+08 1.4866505761318341e+08 1.4864082673250774e+08 1.4863226239360663e+08 1.4863052297526214e+08 1.4862628873580328e+08 1.4861714915693250e+08 1.4860354448912317e+08 1.4858495084001756e+08 1.4856034981838864e+08 1.4852871556612825e+08 1.4848897568890521e+08 1.4843981189411017e+08 1.4837964742189094e+08 1.4830665435741517e+08 1.4821869566643497e+08 1.4811324520171377e+08 1.4798733966012481e+08 1.4783743295139968e+08 1.4765857464765638e+08 1.4744224474683079e+08 1.4717945007093608e+08 1.4686568116378736e+08 1.4649550158722335e+08 1.4606049850441545e+08 1.4555041954885924e+08 1.4495350216650406e+08 1.4425643284145704e+08 1.4344425773837250e+08 1.4250033087594476e+08 1.4140632752515891e+08 1.4014236173183692e+08 1.3868721804592070e+08 1.3701878432157180e+08 1.3511470850427380e+08 1.3295336856642559e+08 1.3051515711586204e+08 1.2756871093840522e+08 1.2427210810657340e+08 1.2062410009058052e+08 1.1663783132189764e+08 1.1234381749196024e+08 1.0779175395386465e+08 1.0305034773457050e+08 9.8204506825311914e+07 9.3349773360780016e+07 8.8583897954566211e+07 8.3997702394599959e+07 7.9668529260027692e+07 7.5654811114730820e+07 7.1988703322722957e+07 6.8680550739526719e+07 6.5724208866355158e+07 6.3099895915197141e+07 6.0781022183355682e+07 5.8737339680846877e+07 5.6940594470721886e+07 5.5362413112185180e+07 5.3979618348583117e+07 5.2769445683154069e+07 5.1715301942758366e+07 5.0800081286060266e+07 5.0009341813728467e+07 4.9331884671991423e+07 4.8755656826149374e+07 4.8269024997616664e+07 4.7863541858502202e+07 4.7528556776225477e+07 4.7256471092487372e+07 4.7038447562412329e+07 4.6866965273237713e+07 4.6731736793965124e+07 4.6622698096341483e+07 4.6532459389045209e+07 4.6453941035640314e+07 4.6380088397306032e+07 4.6327904629572906e+07 4.6275238463675201e+07 4.6221511199344069e+07 4.6165241200282298e+07 4.6107194097929999e+07 4.6045692888919257e+07 4.5982844539624274e+07 4.5912986316973247e+07 4.5838223052230984e+07 4.5757178994360186e+07 4.5668779852390751e+07 4.5571720182767399e+07 4.5464529373856135e+07 4.5345087118236221e+07 4.5213689557987608e+07 4.5065295826499835e+07 4.4898920460103974e+07 4.4712149360148184e+07 4.4502384572850026e+07 4.4266946941577435e+07 4.4003149162859164e+07 4.3708012047751866e+07 4.3381990254951350e+07 4.3019303043395765e+07 4.2621228935986467e+07 4.2188688793176346e+07 4.1725075293211870e+07 4.1236160850186311e+07 4.0732932618624926e+07 4.0231733610466830e+07 3.9759392454944558e+07 3.9349504399217926e+07 3.9054831792082608e+07 3.8948822432095483e+07 3.9138245220611602e+07 3.9778444818991698e+07 4.1104829121610880e+07 4.3490050084830590e+07 4.7562124010654420e+07 8.7760484541351032e+06 +1.0478826275425355e+01 1.4843054126126117e+08 1.4841575947895029e+08 1.4839068137897477e+08 1.4835730465889177e+08 1.4832277422105819e+08 1.4829858960825494e+08 1.4829003185136852e+08 1.4828828012225819e+08 1.4828403582747319e+08 1.4827489319991076e+08 1.4826129054066655e+08 1.4824270429442686e+08 1.4821811735781094e+08 1.4818650498002219e+08 1.4814679581169692e+08 1.4809767293295282e+08 1.4803756120779359e+08 1.4796463453356591e+08 1.4787675798845911e+08 1.4777140797107682e+08 1.4764562420408866e+08 1.4749586431936452e+08 1.4731718349377239e+08 1.4710107145632753e+08 1.4683854329657003e+08 1.4652509350645855e+08 1.4615529309518483e+08 1.4572073980807173e+08 1.4521119386402872e+08 1.4461490756664523e+08 1.4391858491198680e+08 1.4310729268837282e+08 1.4216440915527475e+08 1.4107163798160863e+08 1.3980912630612445e+08 1.3835569702292284e+08 1.3668928199105015e+08 1.3478757903943872e+08 1.3262902168406922e+08 1.3019406296652390e+08 1.2725170840944465e+08 1.2395989229091574e+08 1.2031743867914534e+08 1.1633754927865432e+08 1.1205077051048209e+08 1.0750678972783697e+08 1.0277425632478565e+08 9.7937964512639612e+07 9.3093287262816176e+07 8.8337762373921201e+07 8.3761975085182339e+07 7.9443027084984109e+07 7.5439129511357158e+07 7.1782270438060895e+07 6.8482681692240983e+07 6.5534156038546287e+07 6.2916898832920127e+07 6.0604340888513945e+07 5.8566279284105457e+07 5.6774511080462724e+07 5.5200724008354552e+07 5.3821793416237324e+07 5.2615011453671366e+07 5.1563826348033987e+07 5.0651177746159092e+07 4.9862662791488640e+07 4.9187112844788477e+07 4.8612508633820817e+07 4.8127249597847924e+07 4.7722911874382623e+07 4.7388875264495336e+07 4.7117562013958789e+07 4.6900159739945553e+07 4.6729168237049147e+07 4.6594328876916103e+07 4.6485606050434224e+07 4.6395630237988412e+07 4.6317341571714416e+07 4.6243705644143187e+07 4.6191675222830266e+07 4.6139163891444780e+07 4.6085594611446045e+07 4.6029490084888726e+07 4.5971613684300266e+07 4.5910293389966495e+07 4.5847629698516697e+07 4.5777976909958914e+07 4.5703433502667442e+07 4.5622627770966694e+07 4.5534488582939327e+07 4.5437714333730362e+07 4.5330838736038275e+07 4.5211747771514758e+07 4.5080736442368150e+07 4.4932779080778353e+07 4.4766892959829740e+07 4.4580671079646498e+07 4.4371523125832655e+07 4.4136777819935173e+07 4.3873755760721490e+07 4.3579486571895979e+07 4.3254423316509150e+07 4.2892802613950491e+07 4.2495899072396353e+07 4.2064630844531678e+07 4.1602380632358178e+07 4.1114903875945732e+07 4.0613155421544261e+07 4.0113430271745488e+07 3.9642477927193217e+07 3.9233795178868122e+07 3.8939989082422286e+07 3.8834291506088585e+07 3.9023157299261957e+07 3.9661474346861266e+07 4.0983958338802606e+07 4.3362165501288898e+07 4.7422265095564023e+07 8.7449860013893377e+06 +1.0483794598199614e+01 1.4808858954378724e+08 1.4807384063673979e+08 1.4804881930728751e+08 1.4801551614057642e+08 1.4798105939006656e+08 1.4795692100112757e+08 1.4794836985960245e+08 1.4794660588821495e+08 1.4794235161610422e+08 1.4793320601977202e+08 1.4791960545656517e+08 1.4790102671044523e+08 1.4787645396723825e+08 1.4784486358524671e+08 1.4780518526299176e+08 1.4775610345657295e+08 1.4769604465685332e+08 1.4762318457839197e+08 1.4753539041649896e+08 1.4743014112233016e+08 1.4730447945078325e+08 1.4715486676421234e+08 1.4697636385307854e+08 1.4676047019283092e+08 1.4649820916688576e+08 1.4618507923005855e+08 1.4581565884397683e+08 1.4538155634882042e+08 1.4487254456533656e+08 1.4427689067349645e+08 1.4358131619909805e+08 1.4277090857147872e+08 1.4182907030585754e+08 1.4073753347909406e+08 1.3947647832578027e+08 1.3802476607614636e+08 1.3636037257026926e+08 1.3446104547577858e+08 1.3230527377907000e+08 1.2987357084861541e+08 1.2693531099773268e+08 1.2364828423673721e+08 1.2001138692473349e+08 1.1603787767749059e+08 1.1175833324988629e+08 1.0722243260242975e+08 1.0249876715806065e+08 9.7672017124061629e+07 9.2837386253217384e+07 8.8092199672852829e+07 8.3526806413364112e+07 7.9218067786298618e+07 7.5223974124686256e+07 7.1576346815956086e+07 6.8285305201314121e+07 6.5344579750437602e+07 6.2734363265392199e+07 6.0428107256142057e+07 5.8395653941821262e+07 5.6608851393934593e+07 5.5039448461140677e+07 5.3664373037197620e+07 5.2460973823569432e+07 5.1412740379232675e+07 5.0502657747489646e+07 4.9716362032001227e+07 4.9042714744753391e+07 4.8469730298098266e+07 4.7985840772585072e+07 4.7582645717578299e+07 4.7249555293886803e+07 4.6979012604352951e+07 4.6762230069248475e+07 4.6591728143785752e+07 4.6457276934208713e+07 4.6348869182665773e+07 4.6259155595351629e+07 4.6181096026670091e+07 4.6107676250478312e+07 4.6055798778756164e+07 4.6003441880792640e+07 4.5950030175845526e+07 4.5894090693060011e+07 4.5836384551922433e+07 4.5775244703253262e+07 4.5712765191828325e+07 4.5643317305074826e+07 4.5568993185499586e+07 4.5488425162474334e+07 4.5400545254789636e+07 4.5304055686417952e+07 4.5197494483209655e+07 4.5078753899279237e+07 4.4948127801225834e+07 4.4800605678852402e+07 4.4635207535704128e+07 4.4449533452216782e+07 4.4241000733658165e+07 4.4006945959336795e+07 4.3744697609724298e+07 4.3451294098211996e+07 4.3127186897328764e+07 4.2766629940454550e+07 4.2370893931831330e+07 4.1940894323404610e+07 4.1480003866772488e+07 4.0993961071929984e+07 4.0493688560626552e+07 3.9995433450277336e+07 3.9525866318940751e+07 3.9118385755087979e+07 3.8825443924219184e+07 3.8720057323443912e+07 3.8908367564374767e+07 3.9544806938810378e+07 4.0863400725642562e+07 4.3234612259480149e+07 4.7282768547974855e+07 8.7140276222169194e+06 +1.0488762920973873e+01 1.4774720605349803e+08 1.4773249109400719e+08 1.4770752585449579e+08 1.4767429628846157e+08 1.4763991307364884e+08 1.4761582086823857e+08 1.4760727637693566e+08 1.4760550023116770e+08 1.4760123605932418e+08 1.4759208757373446e+08 1.4757848919376129e+08 1.4755991804494148e+08 1.4753535960220757e+08 1.4750379133710226e+08 1.4746414399768063e+08 1.4741510341871893e+08 1.4735509772189963e+08 1.4728230444301561e+08 1.4719459290029499e+08 1.4708944460310426e+08 1.4696390534593111e+08 1.4681444022897497e+08 1.4663611566581696e+08 1.4642044089323705e+08 1.4615844761432484e+08 1.4584563826174289e+08 1.4547659875457066e+08 1.4504294804013377e+08 1.4453447155793107e+08 1.4393945138206521e+08 1.4324462658635134e+08 1.4243510525786766e+08 1.4149431418231413e+08 1.4040401385421863e+08 1.3914441760667479e+08 1.3769442499766850e+08 1.3603205582420418e+08 1.3413510754741423e+08 1.3198212455106877e+08 1.2955368042320928e+08 1.2661951831849656e+08 1.2333728350890557e+08 1.1970594433809787e+08 1.1573881597217740e+08 1.1146650510548186e+08 1.0693868191496469e+08 1.0222387951634818e+08 9.7406663890997991e+07 9.2582069519737452e+07 8.7847209004158556e+07 8.3292195506903589e+07 7.8993650476271912e+07 7.5009344060364828e+07 7.1370931563102394e+07 6.8088420380355999e+07 6.5155479126818396e+07 6.2552288351079866e+07 6.0252320439470761e+07 5.8225462822415933e+07 5.6443614594195582e+07 5.4878585667668432e+07 5.3507356421359636e+07 5.2307332014287919e+07 5.1262043268288404e+07 5.0354520531192578e+07 4.9570438784630030e+07 4.8898689628388561e+07 4.8327321081565991e+07 4.7844797789498590e+07 4.7442742660249084e+07 4.7110596140345864e+07 4.6840822142677322e+07 4.6624657832002155e+07 4.6454644277111389e+07 4.6320580251330346e+07 4.6212486779938072e+07 4.6123034749316826e+07 4.6045203689840645e+07 4.5971999506811082e+07 4.5920274588619411e+07 4.5868071723916844e+07 4.5814817185543828e+07 4.5759042318606235e+07 4.5701505995451972e+07 4.5640546124334954e+07 4.5578250316138774e+07 4.5509006799912192e+07 4.5434901399524175e+07 4.5354570468838997e+07 4.5266949169290259e+07 4.5170743543666527e+07 4.5064495919807836e+07 4.4946104807869002e+07 4.4815862942835622e+07 4.4668774931347668e+07 4.4503863500863694e+07 4.4318735793915763e+07 4.4110816715577193e+07 4.3877450682621606e+07 4.3615974036721259e+07 4.3323433957948603e+07 4.3000280333748326e+07 4.2640784364773490e+07 4.2246212862256430e+07 4.1817478584402256e+07 4.1357944358149312e+07 4.0873331807342976e+07 4.0374531412786864e+07 3.9877742530566297e+07 3.9409557021932684e+07 3.9003275525897637e+07 3.8711195719953395e+07 3.8606119288318589e+07 3.8793875417173602e+07 3.9428441986327812e+07 4.0743155653248988e+07 4.3107389694056205e+07 4.7143633640221618e+07 8.6831729953426775e+06 +1.0493731243748131e+01 1.4740639181737918e+08 1.4739171037503445e+08 1.4736680085957456e+08 1.4733364505122921e+08 1.4729933522229213e+08 1.4727528916226855e+08 1.4726675135697395e+08 1.4726496310416496e+08 1.4726068911024535e+08 1.4725153781482065e+08 1.4723794170469257e+08 1.4721937824958020e+08 1.4719483421459690e+08 1.4716328818654904e+08 1.4712367196544862e+08 1.4707467276833531e+08 1.4701472035062093e+08 1.4694199407409990e+08 1.4685436538503534e+08 1.4674931835688269e+08 1.4662390183053941e+08 1.4647458465230212e+08 1.4629643886741695e+08 1.4608098348929554e+08 1.4581925856629285e+08 1.4550677052363956e+08 1.4513811274299374e+08 1.4470491479099083e+08 1.4419697474227187e+08 1.4360258958307600e+08 1.4290851595270982e+08 1.4209988261331028e+08 1.4116014063474149e+08 1.4007107893922266e+08 1.3881294396050411e+08 1.3736467357549232e+08 1.3570433151377508e+08 1.3380976498447527e+08 1.3165957369576545e+08 1.2923439134746052e+08 1.2630432998336530e+08 1.2302688966883846e+08 1.1940111042668879e+08 1.1544036361353962e+08 1.1117528547004890e+08 1.0665553700029975e+08 1.0194959267943034e+08 9.7141904043143019e+07 9.2327336248981804e+07 8.7602789519825816e+07 8.3058141492678896e+07 7.8769774266510993e+07 7.4795238423643619e+07 7.1166023786000356e+07 6.7892026343067721e+07 6.4966853292504065e+07 6.2370673228551619e+07 6.0076979591975182e+07 5.8055705094609931e+07 5.6278799864738449e+07 5.4718134825245164e+07 5.3350742778922394e+07 5.2154085247778192e+07 5.1111734247616731e+07 5.0206765338939086e+07 4.9424892299189948e+07 4.8755036752472594e+07 4.8185280247092761e+07 4.7704119916825116e+07 4.7303201974948920e+07 4.6971997080117032e+07 4.6702989908374652e+07 4.6487442310170703e+07 4.6317915921227761e+07 4.6184238114201233e+07 4.6076458129683144e+07 4.5987266988617010e+07 4.5909663851114616e+07 4.5836674704106510e+07 4.5785101944191903e+07 4.5733052713349268e+07 4.5679954933848836e+07 4.5624344255708329e+07 4.5566977310006090e+07 4.5506196949258089e+07 4.5444084368498206e+07 4.5375044692594722e+07 4.5301157443980180e+07 4.5221062990559347e+07 4.5133699628295511e+07 4.5037777208841756e+07 4.4931842350842401e+07 4.4813799804077066e+07 4.4683941176057115e+07 4.4537286149278864e+07 4.4372860168927960e+07 4.4188277421152122e+07 4.3980970391235553e+07 4.3748291312989876e+07 4.3487584369040661e+07 4.3195905483033836e+07 4.2873702962562770e+07 4.2515265229306303e+07 4.2121855212113634e+07 4.1694382982564732e+07 4.1236201468618728e+07 4.0753015451786965e+07 4.0255683355292968e+07 3.9760356897619367e+07 3.9293549428351954e+07 3.8888463889718369e+07 3.8597243872579448e+07 3.8492476805240072e+07 3.8679680259364054e+07 3.9312378881248765e+07 4.0623222493307754e+07 4.2980497140248090e+07 4.7004859645217799e+07 8.6524218003532719e+06 +1.0498699566522390e+01 1.4706614704223463e+08 1.4705149878873098e+08 1.4702664440560031e+08 1.4699356235896692e+08 1.4695932578431371e+08 1.4693532583115464e+08 1.4692679474898857e+08 1.4692499445594659e+08 1.4692071071706650e+08 1.4691155669076023e+08 1.4689796293688443e+08 1.4687940727163443e+08 1.4685487775059906e+08 1.4682335407935622e+08 1.4678376911171928e+08 1.4673481144966605e+08 1.4667491248634472e+08 1.4660225341369656e+08 1.4651470781107733e+08 1.4640976232226607e+08 1.4628446884130684e+08 1.4613529996803465e+08 1.4595733338897321e+08 1.4574209790848738e+08 1.4548064194596285e+08 1.4516847593374792e+08 1.4480020072109255e+08 1.4436745650585315e+08 1.4386005401442721e+08 1.4326630516262794e+08 1.4257298417302987e+08 1.4176524049910724e+08 1.4082654950905335e+08 1.3973872856200802e+08 1.3848205719438785e+08 1.3703551159307343e+08 1.3537719939567965e+08 1.3348501751321355e+08 1.3133762090510473e+08 1.2891570327488604e+08 1.2598974560009986e+08 1.2271710227449229e+08 1.1909688469495454e+08 1.1514252004952805e+08 1.1088467373350076e+08 1.0637299719125459e+08 1.0167590592536387e+08 9.6877736808344334e+07 9.2073185625835240e+07 8.7358940370579153e+07 8.2824643496857882e+07 7.8546438268236041e+07 7.4581656319608301e+07 7.0961622591043666e+07 6.7696122203033552e+07 6.4778701372492574e+07 6.2189517036512852e+07 5.9902083867500626e+07 5.7886379927420139e+07 5.6114406389381103e+07 5.4558095131734185e+07 5.3194531320599474e+07 5.2001232746442080e+07 5.0961812550038613e+07 5.0059391412858993e+07 4.9279721825897820e+07 4.8611755374407627e+07 4.8043607058143497e+07 4.7563806423191130e+07 4.7164022934822775e+07 4.6833757390098870e+07 4.6565515181406170e+07 4.6350582786402419e+07 4.6181542360803291e+07 4.6048249809237167e+07 4.5940782519827388e+07 4.5851851602453746e+07 4.5774475800851844e+07 4.5701701133813232e+07 4.5650280137744673e+07 4.5598384142155737e+07 4.5545442714675568e+07 4.5489995799159393e+07 4.5432797791217536e+07 4.5372196474651173e+07 4.5310266646390699e+07 4.5241430281684615e+07 4.5167760618617669e+07 4.5087902028649792e+07 4.5000795934106849e+07 4.4905155985691600e+07 4.4799533081744969e+07 4.4681838195172451e+07 4.4552361810143866e+07 4.4406138644230247e+07 4.4242196853941619e+07 4.4058157650885098e+07 4.3851461080787636e+07 4.3619467174246609e+07 4.3359527934405118e+07 4.3068708005700365e+07 4.2747454121036708e+07 4.2390071876809172e+07 4.1997820330316313e+07 4.1571606873363204e+07 4.1114774560746357e+07 4.0633011375298165e+07 4.0137143765883029e+07 3.9643275936806798e+07 3.9177842930815265e+07 3.8773950245459184e+07 3.8483587785505094e+07 3.8379129279238664e+07 3.8565781493031114e+07 3.9196617015958436e+07 4.0503600617820814e+07 4.2853933933633409e+07 4.6866445836364858e+07 8.6217737176954765e+06 +1.0503667889296649e+01 1.4672646948056945e+08 1.4671185496150398e+08 1.4668705666769582e+08 1.4665404812941539e+08 1.4661988470594221e+08 1.4659593081897029e+08 1.4658740649725956e+08 1.4658559423044950e+08 1.4658130082376891e+08 1.4657214414499098e+08 1.4655855283356872e+08 1.4654000505370548e+08 1.4651549015273458e+08 1.4648398895703557e+08 1.4644443537704188e+08 1.4639551940271384e+08 1.4633567406781685e+08 1.4626308239916202e+08 1.4617562011438340e+08 1.4607077643321678e+08 1.4594560631005099e+08 1.4579658610583350e+08 1.4561879915689680e+08 1.4540378407363439e+08 1.4514259767171040e+08 1.4483075440521547e+08 1.4446286259590718e+08 1.4403057308466312e+08 1.4352370926594937e+08 1.4293059800233242e+08 1.4223803111754256e+08 1.4143117877220654e+08 1.4049354064676940e+08 1.3940696254626846e+08 1.3815175711161739e+08 1.3670693883006662e+08 1.3505065922257525e+08 1.3316086485585503e+08 1.3101626586686996e+08 1.2859761585537076e+08 1.2567576477310368e+08 1.2240792088056779e+08 1.1879326664399531e+08 1.1484528472507198e+08 1.1059466928335279e+08 1.0609106181816313e+08 1.0140281852985415e+08 9.6614161412983730e+07 9.1819616834162399e+07 8.7115660706216201e+07 8.2591700644813120e+07 7.8323641591952294e+07 7.4368596852841929e+07 7.0757727084580556e+07 6.7500707073917046e+07 6.4591022491859451e+07 6.2008818913991846e+07 5.9727632420061268e+07 5.7717486490191802e+07 5.5950433352363884e+07 5.4398465785278954e+07 5.3038721257468410e+07 5.1848773733006686e+07 5.0812277408782490e+07 4.9912397995470494e+07 4.9134926615490250e+07 4.8468844751970224e+07 4.7902300778635837e+07 4.7423856577757597e+07 4.7025204813419290e+07 4.6695876347623318e+07 4.6428397242262647e+07 4.6214078543676235e+07 4.6045522880995862e+07 4.5912614623359315e+07 4.5805459238751397e+07 4.5716787880519263e+07 4.5639638829886571e+07 4.5567078087906897e+07 4.5515808462036863e+07 4.5464065303876236e+07 4.5411279822413869e+07 4.5355996244182281e+07 4.5298966735252194e+07 4.5238543997576892e+07 4.5176796447870135e+07 4.5108162866335623e+07 4.5034710223622583e+07 4.4955086884510502e+07 4.4868237389558703e+07 4.4772879178559788e+07 4.4667567418478310e+07 4.4550219288903989e+07 4.4421124154872507e+07 4.4275331728252724e+07 4.4111872870552637e+07 4.3928375800555132e+07 4.3722288104845420e+07 4.3490977590599649e+07 4.3231804061114870e+07 4.2941840858693399e+07 4.2621533146906480e+07 4.2265203650517464e+07 4.1874107566164590e+07 4.1449149612767875e+07 4.0993662997542650e+07 4.0513318948364310e+07 4.0018912022712104e+07 3.9526499033901528e+07 3.9062436922309861e+07 3.8659733992367946e+07 3.8370226862489000e+07 3.8266076115720622e+07 3.8452178520671360e+07 3.9081155783136681e+07 4.0384289399284311e+07 4.2727699410279088e+07 4.6728391487543024e+07 8.5912284286745135e+06 +1.0508636212070908e+01 1.4638736186993316e+08 1.4637278000654003e+08 1.4634803759081057e+08 1.4631510228764424e+08 1.4628101193076274e+08 1.4625710406512448e+08 1.4624858654153091e+08 1.4624676236718485e+08 1.4624245936928767e+08 1.4623330011639726e+08 1.4621971133321398e+08 1.4620117153362837e+08 1.4617667135810784e+08 1.4614519275644341e+08 1.4610567069758040e+08 1.4605679656251147e+08 1.4599700502905905e+08 1.4592448096314782e+08 1.4583710222605863e+08 1.4573236061931044e+08 1.4560731416419610e+08 1.4545844299031901e+08 1.4528083609276727e+08 1.4506604190290433e+08 1.4480512565756646e+08 1.4449360584691653e+08 1.4412609827014190e+08 1.4369426442299202e+08 1.4318794038392514e+08 1.4259546797974926e+08 1.4190365665202129e+08 1.4109769728519583e+08 1.4016111388501850e+08 1.3907578071131629e+08 1.3782204351094905e+08 1.3637895506191325e+08 1.3472471074300456e+08 1.3283730673060219e+08 1.3069550826535630e+08 1.2828012873492269e+08 1.2536238710321879e+08 1.2209934503836176e+08 1.1849025577207707e+08 1.1454865708223248e+08 1.1030527150445710e+08 1.0580973020905361e+08 1.0113032976691504e+08 9.6351177081689924e+07 9.1566629056127757e+07 8.6872949675436497e+07 8.2359312061096489e+07 7.8101383347780928e+07 7.4156059127760485e+07 7.0554336372710526e+07 6.7305780069456249e+07 6.4403815775816873e+07 6.1828578000240125e+07 5.9553624404026613e+07 5.7549023952615492e+07 5.5786879938180193e+07 5.4239245984484211e+07 5.2883311800995603e+07 5.1696707430723853e+07 5.0663128057675868e+07 4.9765784329876237e+07 4.8990505919246003e+07 4.8326304143496551e+07 4.7761360673003301e+07 4.7284269650186099e+07 4.6886746884823315e+07 4.6558353230503142e+07 4.6291635371895179e+07 4.6077928865575276e+07 4.5909856767493159e+07 4.5777331844017744e+07 4.5670487575399019e+07 4.5582075112996601e+07 4.5505152229571380e+07 4.5432804858847313e+07 4.5381686210265130e+07 4.5330095492578246e+07 4.5277465551924162e+07 4.5222344886564910e+07 4.5165483438685328e+07 4.5105238815558754e+07 4.5043673071417049e+07 4.4975241746060424e+07 4.4902005559754655e+07 4.4822616860196799e+07 4.4736023297934659e+07 4.4640946092213415e+07 4.4535944667447083e+07 4.4418942393544100e+07 4.4290227520426318e+07 4.4144864713784456e+07 4.3981887533746563e+07 4.3798931188038073e+07 4.3593450784533568e+07 4.3362821886717550e+07 4.3104412077865407e+07 4.2815303375263885e+07 4.2495939378333651e+07 4.2140659894221134e+07 4.1750716269462213e+07 4.1327010557136476e+07 4.0872866142501436e+07 4.0393937541916125e+07 3.9900987504416019e+07 3.9410025575221762e+07 3.8947330796334758e+07 3.8545814530130066e+07 3.8257160507717773e+07 3.8153316720486946e+07 3.8338870745223112e+07 3.8965994575978160e+07 4.0265288210629337e+07 4.2601792906737387e+07 4.6590695873205401e+07 8.5607856154523920e+06 +1.0513604534845166e+01 1.4604882265030402e+08 1.4603427367370394e+08 1.4600958703625667e+08 1.4597672477585015e+08 1.4594270739849222e+08 1.4591884550512460e+08 1.4591033481653106e+08 1.4590849880077061e+08 1.4590418628840837e+08 1.4589502453911963e+08 1.4588143836946169e+08 1.4586290664514399e+08 1.4583842129985091e+08 1.4580696540995076e+08 1.4576747500480050e+08 1.4571864285968068e+08 1.4565890529954663e+08 1.4558644903410777e+08 1.4549915407290623e+08 1.4539451480536070e+08 1.4526959232629183e+08 1.4512087054184315e+08 1.4494344411432111e+08 1.4472887131021285e+08 1.4446822581281105e+08 1.4415703016296297e+08 1.4378990764190683e+08 1.4335853041176027e+08 1.4285274725092706e+08 1.4226091496764266e+08 1.4156986063814458e+08 1.4076479588626617e+08 1.3982926905675700e+08 1.3874518287241167e+08 1.3749291618707186e+08 1.3605156005979225e+08 1.3439935370164764e+08 1.3251434285189523e+08 1.3037534778079200e+08 1.2796324155594124e+08 1.2504961218789867e+08 1.2179137429588598e+08 1.1818785157401605e+08 1.1425263656043379e+08 1.1001647977912688e+08 1.0552900168960667e+08 1.0085843890833327e+08 9.6088783037432000e+07 9.1314221472840503e+07 8.6630806425801218e+07 8.2127476869611293e+07 7.7879662645328388e+07 7.3944042248577893e+07 7.0351449561456278e+07 6.7111340303250998e+07 6.4217080349783838e+07 6.1648793434664652e+07 5.9380058974091426e+07 5.7380991484700926e+07 5.5623745331815109e+07 5.4080434928357132e+07 5.2728302163161375e+07 5.1545033063399248e+07 5.0514363730873466e+07 4.9619549659547850e+07 4.8846458988807499e+07 4.8184132807764433e+07 4.7620786006120853e+07 4.7145044910592757e+07 4.6748648423638597e+07 4.6421187317090370e+07 4.6155228851745829e+07 4.5942133036157481e+07 4.5774543306460217e+07 4.5642400759093225e+07 4.5535866819149531e+07 4.5447712590628646e+07 4.5371015291788362e+07 4.5298880739585698e+07 4.5247912676251546e+07 4.5196474002849549e+07 4.5143999198568359e+07 4.5089041022428937e+07 4.5032347198661551e+07 4.4972280226716712e+07 4.4910895816119604e+07 4.4842666221013032e+07 4.4769645928280018e+07 4.4690491258085988e+07 4.4604152963077739e+07 4.4509356031946607e+07 4.4404664135557212e+07 4.4288006817810699e+07 4.4159671217630126e+07 4.4014736913886502e+07 4.3852240159058645e+07 4.3669823131728843e+07 4.3464948441414692e+07 4.3234999387795813e+07 4.2977351313830607e+07 4.2689094889076285e+07 4.2370672154004857e+07 4.2016439952072434e+07 4.1627645790468797e+07 4.1205189063364930e+07 4.0752383359520301e+07 4.0274866527321473e+07 3.9783369590017878e+07 3.9293854947399728e+07 3.8832523946751103e+07 3.8432191258943170e+07 3.8144388125853442e+07 3.8040850499810137e+07 3.8225857570062645e+07 3.8851132788068436e+07 4.0146596425261989e+07 4.2476213760030441e+07 4.6453358268247828e+07 8.5304449610462356e+06 +1.0518572857619425e+01 1.4571085257920319e+08 1.4569633484253237e+08 1.4567170484835023e+08 1.4563891554150406e+08 1.4560497104412094e+08 1.4558115506987128e+08 1.4557265125261301e+08 1.4557080346181637e+08 1.4556648151111877e+08 1.4555731734285554e+08 1.4554373387189388e+08 1.4552521031703645e+08 1.4550073990619937e+08 1.4546930684501246e+08 1.4542984822560117e+08 1.4538105822021684e+08 1.4532137480428115e+08 1.4524898653560221e+08 1.4516177557708627e+08 1.4505723891181201e+08 1.4493244071491814e+08 1.4478386867616600e+08 1.4460662313406825e+08 1.4439227220469880e+08 1.4413189804265082e+08 1.4382102725327125e+08 1.4345429060494882e+08 1.4302337093758342e+08 1.4251812974531108e+08 1.4192693883441263e+08 1.4123664293278441e+08 1.4043247441937214e+08 1.3949800599048650e+08 1.3841516884033498e+08 1.3716437493064597e+08 1.3572475359099731e+08 1.3407458783909878e+08 1.3219197293008092e+08 1.3005578408986297e+08 1.2764695395720358e+08 1.2473743962081543e+08 1.2148400819788598e+08 1.1788605354182220e+08 1.1395722259603857e+08 1.0972829348693967e+08 1.0524887558343166e+08 1.0058714522416966e+08 9.5826978501480356e+07 9.1062393264033288e+07 8.6389230104168668e+07 8.1896194193454340e+07 7.7658478593754053e+07 7.3732545319026321e+07 7.0149065756804720e+07 6.6917386889204025e+07 6.4030815339284837e+07 6.1469464356989473e+07 5.9206935285115108e+07 5.7213388256927691e+07 5.5461028718623139e+07 5.3922031816310473e+07 5.2573691556312457e+07 5.1393749855040416e+07 5.0365983663027681e+07 4.9473693228508405e+07 4.8702785076347202e+07 4.8042330004082985e+07 4.7480576043436207e+07 4.7006181629682414e+07 4.6610908704945281e+07 4.6284377886209019e+07 4.6019176963837050e+07 4.5806690339995824e+07 4.5639581784625098e+07 4.5507820657038130e+07 4.5401596260001138e+07 4.5313699604592629e+07 4.5237227308904253e+07 4.5165305023631439e+07 4.5114487154249310e+07 4.5063200129705966e+07 4.5010880058278941e+07 4.4956083948610090e+07 4.4899557312792420e+07 4.4839667529577456e+07 4.4778463981429599e+07 4.4710435591679931e+07 4.4637630630816072e+07 4.4558709381144069e+07 4.4472625689254038e+07 4.4378108303542830e+07 4.4273725130258746e+07 4.4157411870975234e+07 4.4029454557687715e+07 4.3884947641993374e+07 4.3722930062560529e+07 4.3541050950508587e+07 4.3336780397603147e+07 4.3107509419485070e+07 4.2850621098719969e+07 4.2563214734367333e+07 4.2245730813056469e+07 4.1892543168747663e+07 4.1504895479927734e+07 4.1083684488737002e+07 4.0632214013008021e+07 4.0156105276434928e+07 3.9666057659025297e+07 3.9177986537649281e+07 3.8718015767894804e+07 3.8318863579342753e+07 3.8031909121934652e+07 3.7928676860320367e+07 3.8113138398988128e+07 3.8736569813471310e+07 4.0028213416973732e+07 4.2350961307662629e+07 4.6316377948168300e+07 8.5002061493265927e+06 +1.0523541180393684e+01 1.4537344888938254e+08 1.4535896506548011e+08 1.4533439101959270e+08 1.4530167451875889e+08 1.4526780279680082e+08 1.4524403268611690e+08 1.4523553577522641e+08 1.4523367627587703e+08 1.4522934496288833e+08 1.4522017845289713e+08 1.4520659776528367e+08 1.4518808247349113e+08 1.4516362710092273e+08 1.4513221698508084e+08 1.4509279028241572e+08 1.4504404256564108e+08 1.4498441346370941e+08 1.4491209338673276e+08 1.4482496665635392e+08 1.4472053285450193e+08 1.4459585924360335e+08 1.4444743730446631e+08 1.4427037306038958e+08 1.4405624449106827e+08 1.4379614224724862e+08 1.4348559701315820e+08 1.4311924704850915e+08 1.4268878588250595e+08 1.4218408774074164e+08 1.4159353944430858e+08 1.4090400338894528e+08 1.4010073272422850e+08 1.3916732451066375e+08 1.3808573842189875e+08 1.3683641952796659e+08 1.3539853541873938e+08 1.3375041289192346e+08 1.3187019667174383e+08 1.2973681686525992e+08 1.2733126557387531e+08 1.2442586899247728e+08 1.2117724628576650e+08 1.1758486116441347e+08 1.1366241462275547e+08 1.0944071200515138e+08 1.0496935121164237e+08 1.0031644798237666e+08 9.5565762693606332e+07 9.0811143608079657e+07 8.6148219856025338e+07 8.1665463155011281e+07 7.7437830301585555e+07 7.3521567442749619e+07 6.9947184064575121e+07 6.6723918941064522e+07 6.3845019870017990e+07 6.1290589907149106e+07 5.9034252492454097e+07 5.7046213440000653e+07 5.5298729284351192e+07 5.3764035848178670e+07 5.2419479193290293e+07 5.1242857030323341e+07 5.0217987089331143e+07 4.9328214281244203e+07 4.8559483434607871e+07 4.7900894992242783e+07 4.7340730050852522e+07 4.6867679078593567e+07 4.6473527004350804e+07 4.6147924217289381e+07 4.5883478990638219e+07 4.5671600062186211e+07 4.5504971489154279e+07 4.5373590826880567e+07 4.5267675188327782e+07 4.5180035446619131e+07 4.5103787573744833e+07 4.5032077004979625e+07 4.4981408939034343e+07 4.4930273168793969e+07 4.4878107427413099e+07 4.4823472962348282e+07 4.4767113079247542e+07 4.4707400023206495e+07 4.4646376867391236e+07 4.4578549159267880e+07 4.4505958969705582e+07 4.4427270532877184e+07 4.4341440781319588e+07 4.4247202213294484e+07 4.4143126959443383e+07 4.4027156862773255e+07 4.3899576852320164e+07 4.3755496212208271e+07 4.3593956560776450e+07 4.3412613963763490e+07 4.3208945975592889e+07 4.2980351307937473e+07 4.2724220762671933e+07 4.2437662245749362e+07 4.2121114695101626e+07 4.1768968889373720e+07 4.1382464689042710e+07 4.0962496191071585e+07 4.0512357467803791e+07 4.0037653161530092e+07 3.9549051091369808e+07 3.9062419733476885e+07 3.8603805654534094e+07 3.8205830892334267e+07 3.7919722901456259e+07 3.7816795209165111e+07 3.8000712636185445e+07 3.8622305046639346e+07 3.9910138560077719e+07 4.2226034887609087e+07 4.6179754188945107e+07 8.4700688650157675e+06 +1.0528509503167943e+01 1.4503661523251942e+08 1.4502216454315415e+08 1.4499764540271559e+08 1.4496500162118182e+08 1.4493120258044446e+08 1.4490747827636597e+08 1.4489898830525374e+08 1.4489711716422719e+08 1.4489277656464285e+08 1.4488360778971690e+08 1.4487002996989986e+08 1.4485152303451627e+08 1.4482708280356371e+08 1.4479569574864119e+08 1.4475630109325269e+08 1.4470759581293935e+08 1.4464802119373304e+08 1.4457576950236654e+08 1.4448872722377649e+08 1.4438439654489857e+08 1.4425984782174444e+08 1.4411157633371627e+08 1.4393469379716578e+08 1.4372078806976289e+08 1.4346095832276168e+08 1.4315073933337077e+08 1.4278477685750961e+08 1.4235477512448138e+08 1.4185062110692334e+08 1.4126071665701279e+08 1.4057194185503352e+08 1.3976957063606736e+08 1.3883722443729398e+08 1.3775689141961667e+08 1.3650904976147884e+08 1.3507290530184144e+08 1.3342682859287052e+08 1.3154901377975257e+08 1.2941844577592802e+08 1.2701617603752688e+08 1.2411489988978621e+08 1.2087108809773546e+08 1.1728427392765298e+08 1.1336821207143253e+08 1.0915373470841767e+08 1.0469042789344196e+08 1.0004634644911690e+08 9.5305134831932098e+07 9.0560471682025358e+07 8.5907774826164261e+07 8.1435282876036465e+07 7.7217716877133220e+07 7.3311107722992659e+07 6.9745803590675533e+07 6.6530935572758943e+07 6.3659693067815796e+07 6.1112169225296393e+07 5.8862009751612335e+07 5.6879466205013074e+07 5.5136846215081736e+07 5.3606446224255554e+07 5.2265664287385024e+07 5.1092353814355627e+07 5.0070373245392479e+07 4.9183112062739111e+07 4.8416553316751249e+07 4.7759827032471739e+07 4.7201247294764966e+07 4.6729536529037759e+07 4.6336502598016426e+07 4.6011825590175368e+07 4.5748134215157941e+07 4.5536861488375254e+07 4.5370711707844846e+07 4.5239710558022216e+07 4.5134102895159200e+07 4.5046719408989191e+07 4.4970695379798800e+07 4.4899195978098735e+07 4.4848677325942412e+07 4.4797692416143507e+07 4.4745680602915987e+07 4.4691207361386344e+07 4.4635013796662338e+07 4.4575477007258587e+07 4.4514633774570771e+07 4.4447006225314975e+07 4.4374630247590043e+07 4.4296174017219506e+07 4.4210597544551894e+07 4.4116637067998566e+07 4.4012868931560263e+07 4.3897241103421032e+07 4.3770037413806960e+07 4.3626381938983113e+07 4.3465318970741436e+07 4.3284511491354667e+07 4.3081444498512499e+07 4.2853524379800543e+07 4.2598149636418276e+07 4.2312436758393936e+07 4.1996823140243478e+07 4.1645716459626578e+07 4.1260352769482970e+07 4.0841623528631255e+07 4.0392813089204140e+07 3.9919509555369154e+07 3.9432349267481282e+07 3.8947153922949076e+07 3.8489893001864292e+07 3.8093092599366978e+07 3.7807828870334245e+07 3.7705204953894086e+07 3.7888579686338827e+07 3.8508337882484592e+07 3.9792371229332499e+07 4.2101433838345423e+07 4.6043486267116003e+07 8.4400327936861608e+06 +1.0533477825942201e+01 1.4470034915378210e+08 1.4468593191512835e+08 1.4466146784272498e+08 1.4462889675170594e+08 1.4459517031347433e+08 1.4457149175870854e+08 1.4456300875916201e+08 1.4456112604378250e+08 1.4455677623312467e+08 1.4454760526963669e+08 1.4453403040151945e+08 1.4451553191538945e+08 1.4449110692883253e+08 1.4445974305014202e+08 1.4442038057157511e+08 1.4437171787492776e+08 1.4431219790592948e+08 1.4424001479258338e+08 1.4415305718811211e+08 1.4404882988993168e+08 1.4392440635416818e+08 1.4377628566612035e+08 1.4359958524372861e+08 1.4338590283662102e+08 1.4312634616085643e+08 1.4281645410059524e+08 1.4245087991235957e+08 1.4202133853684658e+08 1.4151772970882192e+08 1.4092847032795930e+08 1.4024045817523921e+08 1.3943898798599049e+08 1.3850770558643374e+08 1.3742862763189656e+08 1.3618226540925509e+08 1.3474786299563357e+08 1.3310383467053391e+08 1.3122842395282754e+08 1.2910067048729844e+08 1.2670168497596434e+08 1.2380453189632487e+08 1.2056553316874486e+08 1.1698429131413513e+08 1.1307461437016383e+08 1.0886736096878681e+08 1.0441210494550964e+08 9.9776839888668537e+07 9.5045094133053347e+07 9.0310376661855593e+07 8.5667894158224210e+07 8.1205652477458075e+07 7.6998137428106040e+07 7.3101165262949467e+07 6.9544923440694630e+07 6.6338435898213893e+07 6.3474834058769263e+07 6.0934201451918222e+07 5.8690206218608126e+07 5.6713145723531254e+07 5.4975378697441675e+07 5.3449262145247683e+07 5.2112246052318841e+07 5.0942239432648368e+07 4.9923141367376462e+07 4.9038385818424948e+07 4.8273993976439334e+07 4.7619125385671102e+07 4.7062127042171218e+07 4.6591753253156297e+07 4.6199834762532666e+07 4.5876081285245977e+07 4.5613141920963183e+07 4.5402473904644750e+07 4.5236801728905573e+07 4.5106179140550338e+07 4.5000878671950102e+07 4.4913750784499019e+07 4.4837950020980164e+07 4.4766661238039523e+07 4.4716291610733405e+07 4.4665457168431163e+07 4.4613598882278889e+07 4.4559286444059625e+07 4.4503258764228709e+07 4.4443897781817295e+07 4.4383234004033573e+07 4.4315806091965705e+07 4.4243643767831191e+07 4.4165419138709873e+07 4.4080095284829952e+07 4.3986412175010450e+07 4.3882950355572574e+07 4.3767663903744407e+07 4.3640835554893002e+07 4.3497604137290753e+07 4.3337016609981649e+07 4.3156742853660315e+07 4.2954275289938770e+07 4.2727027962256655e+07 4.2472407051050693e+07 4.2187537607902922e+07 4.1872855489090011e+07 4.1522785225558840e+07 4.1138559073431969e+07 4.0721065860123143e+07 4.0273580243017785e+07 3.9801673831139468e+07 3.9315951568196476e+07 3.8832188494565599e+07 3.8376277205575444e+07 3.7980648102353513e+07 3.7696226434986822e+07 3.7593905502455160e+07 3.7776738954577848e+07 3.8394667716422774e+07 3.9674910799922623e+07 4.1977157498832956e+07 4.5907573459682442e+07 8.4100976217585765e+06 +1.0538446148716460e+01 1.4436465152783003e+08 1.4435026707881254e+08 1.4432585831740454e+08 1.4429335981821299e+08 1.4425970590900129e+08 1.4423607304662299e+08 1.4422759704870635e+08 1.4422570282672083e+08 1.4422134388014704e+08 1.4421217080419132e+08 1.4419859897146550e+08 1.4418010902707782e+08 1.4415569938704810e+08 1.4412435879900533e+08 1.4408502862632594e+08 1.4403640865928331e+08 1.4397694350727540e+08 1.4390482916314688e+08 1.4381795645357230e+08 1.4371383279206175e+08 1.4358953474127522e+08 1.4344156519973522e+08 1.4326504729520708e+08 1.4305158868308261e+08 1.4279230564866757e+08 1.4248274119682914e+08 1.4211755608908182e+08 1.4168847598853919e+08 1.4118541340724224e+08 1.4059680030829096e+08 1.3990955218951884e+08 1.3910898460105181e+08 1.3817876776981795e+08 1.3710094685302472e+08 1.3585606624556878e+08 1.3442340825118816e+08 1.3278143084984955e+08 1.3090842688596484e+08 1.2878349066098203e+08 1.2638779201361342e+08 1.2349476459216572e+08 1.2026058103060400e+08 1.1668491280393136e+08 1.1278162094427691e+08 1.0858159015611559e+08 1.0413438168259376e+08 9.9507927563241884e+07 9.4785639811824173e+07 9.0060857722064570e+07 8.5428576994992256e+07 8.0976571079660371e+07 7.6779091061749488e+07 7.2891739165448338e+07 6.9344542720356539e+07 6.6146419031485766e+07 6.3290441969100103e+07 6.0756685727737576e+07 5.8518841049561299e+07 5.6547251167375498e+07 5.4814325918379821e+07 5.3292482812301539e+07 5.1959223702306807e+07 5.0792513111262769e+07 4.9776290691807613e+07 4.8894034794330180e+07 4.8131804667863131e+07 4.7478789313121282e+07 4.6923368560457148e+07 4.6454328523700915e+07 4.6063522775115438e+07 4.5740690583498731e+07 4.5478501392139710e+07 4.5268436597715899e+07 4.5103240841159478e+07 4.4972995864933424e+07 4.4868001810773253e+07 4.4781128866417237e+07 4.4705550791650750e+07 4.4634472080404386e+07 4.4584251089800559e+07 4.4533566722811051e+07 4.4481861563333184e+07 4.4427709509183101e+07 4.4371847281640552e+07 4.4312661647502884e+07 4.4252176857337750e+07 4.4184948061875023e+07 4.4112998834152505e+07 4.4035005202364817e+07 4.3949933308521718e+07 4.3856526842123240e+07 4.3753370540914178e+07 4.3638424574998714e+07 4.3511970588868633e+07 4.3369162122688383e+07 4.3209048796555243e+07 4.3029307371612124e+07 4.2827437673899271e+07 4.2600861382924907e+07 4.2346992338227987e+07 4.2062964130554304e+07 4.1749211082747892e+07 4.1400174533819661e+07 4.1017082953511357e+07 4.0600822544828765e+07 4.0154658295503624e+07 3.9684145362547845e+07 3.9199857374874420e+07 3.8717522837237358e+07 3.8262957661751866e+07 3.7868496803596713e+07 3.7584915002163544e+07 3.7482896263341062e+07 3.7665189846421644e+07 3.8281293944254309e+07 3.9557756647568867e+07 4.1853205208517797e+07 4.5772015044296317e+07 8.3802630365005583e+06 +1.0543414471490719e+01 1.4402952159525505e+08 1.4401517078059539e+08 1.4399081693203256e+08 1.4395839074078840e+08 1.4392480927509153e+08 1.4390122204947734e+08 1.4389275308138260e+08 1.4389084742110565e+08 1.4388647941341284e+08 1.4387730430072129e+08 1.4386373558663338e+08 1.4384525427596626e+08 1.4382086008416581e+08 1.4378954290076074e+08 1.4375024516192305e+08 1.4370166807001349e+08 1.4364225790030015e+08 1.4357021251550242e+08 1.4348342491998181e+08 1.4337940514941031e+08 1.4325523287906009e+08 1.4310741482796657e+08 1.4293107984206161e+08 1.4271784549621639e+08 1.4245883666906300e+08 1.4214960049988791e+08 1.4178480525950521e+08 1.4135618734437558e+08 1.4085367205861861e+08 1.4026570644504756e+08 1.3957922373349062e+08 1.3877956030366486e+08 1.3785041079490253e+08 1.3677384887307185e+08 1.3553045204027173e+08 1.3409954081561649e+08 1.3245961685171054e+08 1.3058902227063952e+08 1.2846690595488161e+08 1.2607449677140103e+08 1.2318559755393501e+08 1.1995623121170415e+08 1.1638613787381604e+08 1.1248923121632142e+08 1.0829642163748720e+08 1.0385725741709940e+08 9.9239608733389392e+07 9.4526771081776619e+07 8.9811914036066532e+07 8.5189822478331015e+07 8.0748037802237630e+07 7.6560576884931639e+07 7.2682828533099309e+07 6.9144660535318106e+07 6.5954884086692624e+07 6.3106515925295301e+07 6.0579621193786979e+07 5.8347913401137225e+07 5.6381781708839402e+07 5.4653687065249629e+07 5.3136107427004062e+07 5.1806596451993704e+07 5.0643174076722458e+07 4.9629820455867536e+07 4.8750058236921042e+07 4.7989984645754620e+07 4.7338818076658316e+07 4.6784971117711723e+07 4.6317261613948777e+07 4.5927565913475081e+07 4.5605652766364992e+07 4.5344211913292974e+07 4.5134748854770690e+07 4.4970028333915919e+07 4.4840160022305198e+07 4.4735471604142323e+07 4.4648852948596999e+07 4.4573496986953594e+07 4.4502627801264726e+07 4.4452555060023174e+07 4.4402020376928225e+07 4.4350467944676369e+07 4.4296475856138058e+07 4.4240778649167210e+07 4.4181767905515127e+07 4.4121461636662915e+07 4.4054431438211784e+07 4.3982694750900351e+07 4.3904931513693966e+07 4.3820110922491729e+07 4.3726980377721272e+07 4.3624128797596075e+07 4.3509522428954393e+07 4.3383441829480298e+07 4.3241055211270295e+07 4.3081414849047236e+07 4.2902204366556540e+07 4.2700930975048929e+07 4.2475023969970211e+07 4.2221904830156930e+07 4.1938715662823312e+07 4.1625889262810491e+07 4.1277883731472179e+07 4.0895923762864396e+07 4.0480892942328364e+07 4.0036046613366790e+07 3.9566923523744524e+07 3.9084066069345906e+07 3.8603156340389691e+07 3.8149933766972736e+07 3.7756638105948225e+07 3.7473893979194783e+07 3.7372176645337574e+07 3.7553931767877951e+07 3.8168215962300502e+07 3.9440908148382664e+07 4.1729576307343625e+07 4.5636810299081482e+07 8.3505287260247162e+06 +1.0548382794264977e+01 1.4369496079080570e+08 1.4368064208298913e+08 1.4365634351518551e+08 1.4362398944582832e+08 1.4359048031531146e+08 1.4356693867183942e+08 1.4355847676034245e+08 1.4355655973023579e+08 1.4355218273620126e+08 1.4354300566210374e+08 1.4352944014946839e+08 1.4351096756413099e+08 1.4348658892172951e+08 1.4345529525629243e+08 1.4341603007864979e+08 1.4336749600611290e+08 1.4330814098324993e+08 1.4323616474634716e+08 1.4314946248294315e+08 1.4304554685552707e+08 1.4292150065903553e+08 1.4277383443985724e+08 1.4259768277048030e+08 1.4238467315878811e+08 1.4212593910038215e+08 1.4181703188303080e+08 1.4145262729113683e+08 1.4102447246471977e+08 1.4052250551528934e+08 1.3993518858071598e+08 1.3924947263860956e+08 1.3845071491236636e+08 1.3752263446531922e+08 1.3644733347810578e+08 1.3520542255971211e+08 1.3377626043195254e+08 1.3213839239315617e+08 1.3027020979421760e+08 1.2815091602332102e+08 1.2576179886646824e+08 1.2287703035517639e+08 1.1965248323765075e+08 1.1608796599768040e+08 1.1219744460630967e+08 1.0801185477768798e+08 1.0358073145942506e+08 9.8971882657703206e+07 9.4268487154845059e+07 8.9563544775965676e+07 8.4951629749031320e+07 8.0520051764278606e+07 7.6342594004203677e+07 7.2474432468403816e+07 6.8945275991054714e+07 6.5763830178018913e+07 6.2923055053903662e+07 6.0403006991278961e+07 5.8177422430247858e+07 5.6216736520532817e+07 5.4493461325911008e+07 5.2980135191461876e+07 5.1654363516540207e+07 5.0494221556015104e+07 4.9483729897123344e+07 4.8606455393138386e+07 4.7848533165344834e+07 4.7199210938652381e+07 4.6646933982389547e+07 4.6180551797639459e+07 4.5791963455814496e+07 4.5470967115907781e+07 4.5210272769557759e+07 4.5001409963580355e+07 4.4837163497053660e+07 4.4707670904256158e+07 4.4603287345171928e+07 4.4516922325427890e+07 4.4441787902311765e+07 4.4371127697239421e+07 4.4321202818854794e+07 4.4270817429061003e+07 4.4219417325356327e+07 4.4165584784738466e+07 4.4110052167537138e+07 4.4051215857571565e+07 4.3991087644599944e+07 4.3924255524735525e+07 4.3852730822934687e+07 4.3775197378822148e+07 4.3690627434169136e+07 4.3597772090670399e+07 4.3495224436141923e+07 4.3380956778010063e+07 4.3255248591087252e+07 4.3113282719541043e+07 4.2954114086574756e+07 4.2775433160452418e+07 4.2574754518445522e+07 4.2349515052093253e+07 4.2097143859534688e+07 4.1814791542005911e+07 4.1502889371336505e+07 4.1155912166120544e+07 4.0775080855149105e+07 4.0361276412927024e+07 3.9917744563870452e+07 3.9450007689378247e+07 3.8968577033802710e+07 3.8489088393897600e+07 3.8037204918308079e+07 3.7645071412564874e+07 3.7363162773748636e+07 3.7261746057832412e+07 3.7442964125409804e+07 3.8055433167257689e+07 3.9324364679004483e+07 4.1606270135802723e+07 4.5501958502770327e+07 8.3208943792870566e+06 +1.0553351117039236e+01 1.4336096720708188e+08 1.4334668097162542e+08 1.4332243783596411e+08 1.4329015585139939e+08 1.4325671892803797e+08 1.4323322281405210e+08 1.4322476798419857e+08 1.4322283965332946e+08 1.4321845374726382e+08 1.4320927478672633e+08 1.4319571255824000e+08 1.4317724878910461e+08 1.4315288579689872e+08 1.4312161576201856e+08 1.4308238327223495e+08 1.4303389236255676e+08 1.4297459264993426e+08 1.4290268574845228e+08 1.4281606903331062e+08 1.4271225779973158e+08 1.4258833796836466e+08 1.4244082392038280e+08 1.4226485596233231e+08 1.4205207154906681e+08 1.4179361281696901e+08 1.4148503521539849e+08 1.4112102204683688e+08 1.4069333120568305e+08 1.4019191362514064e+08 1.3960524655373308e+08 1.3892029873220301e+08 1.3812244824159050e+08 1.3719543858020893e+08 1.3612140045014790e+08 1.3488097756578511e+08 1.3345356683955380e+08 1.3181775718736552e+08 1.2995198914043905e+08 1.2783552051697466e+08 1.2544969791268359e+08 1.2256906256591241e+08 1.1934933663061160e+08 1.1579039664658543e+08 1.1190626053147496e+08 1.0772788893918237e+08 1.0330480311769439e+08 9.8704748593110785e+07 9.4010787241363302e+07 8.9315749112718940e+07 8.4713997947182149e+07 8.0292612084099084e+07 7.6125141525538504e+07 7.2266550073563814e+07 6.8746388193263575e+07 6.5573256419884428e+07 6.2740058481853209e+07 6.0226842261893041e+07 5.8007367294204623e+07 5.6052114775557071e+07 5.4333647888591133e+07 5.2824565308176413e+07 5.1502524111546427e+07 5.0345654776668750e+07 4.9338018253732145e+07 4.8463225510535248e+07 4.7707449482373737e+07 4.7059967162064701e+07 4.6509256423525296e+07 4.6044198349171013e+07 4.5656714680993013e+07 4.5336632914627716e+07 4.5076683246611878e+07 4.4868419212393932e+07 4.4704645621024527e+07 4.4575527802940786e+07 4.4471448327534996e+07 4.4385336291842066e+07 4.4310422833837636e+07 4.4239971065540515e+07 4.4190193664223559e+07 4.4139957177895509e+07 4.4088709004915655e+07 4.4035035595476687e+07 4.3979667138057835e+07 4.3921004805852242e+07 4.3861054184387676e+07 4.3794419625650696e+07 4.3723106355639912e+07 4.3645802104342334e+07 4.3561482151503563e+07 4.3468901290416323e+07 4.3366656767585747e+07 4.3252726934970878e+07 4.3127390188537814e+07 4.2985843964627288e+07 4.2827145828691848e+07 4.2648993075747527e+07 4.2448907629729345e+07 4.2224333958476521e+07 4.1972708759498537e+07 4.1691191105694763e+07 4.1380210750966720e+07 4.1034259185870849e+07 4.0654553584470578e+07 4.0241972317290902e+07 3.9799751514713675e+07 3.9333397234595425e+07 3.8853389651050642e+07 3.8375318388094291e+07 3.7924770513200238e+07 3.7533796127236918e+07 3.7252720794039905e+07 3.7151603910629660e+07 3.7332286325920373e+07 3.7942944956365809e+07 3.9208125616576329e+07 4.1483286034860395e+07 4.5367458934597187e+07 8.2913596860852772e+06 +1.0558319439813495e+01 1.4302754195122805e+08 1.4301328732686433e+08 1.4298909982818606e+08 1.4295688985455680e+08 1.4292352500784999e+08 1.4290007437175724e+08 1.4289162664760196e+08 1.4288968708504537e+08 1.4288529234109789e+08 1.4287611156869897e+08 1.4286255270638555e+08 1.4284409784436846e+08 1.4281975060231748e+08 1.4278850431004125e+08 1.4274930463403162e+08 1.4270085702982828e+08 1.4264161278977963e+08 1.4256977540988520e+08 1.4248324445781162e+08 1.4237953786708283e+08 1.4225574469014961e+08 1.4210838314964005e+08 1.4193259929527533e+08 1.4172004054120660e+08 1.4146185768851978e+08 1.4115361036181858e+08 1.4078998938566172e+08 1.4036276341906610e+08 1.3986189623180959e+08 1.3927588019822794e+08 1.3859170183724070e+08 1.3779476010147047e+08 1.3686882293483528e+08 1.3579604956719366e+08 1.3455711681661919e+08 1.3313145977364883e+08 1.3149771094370550e+08 1.2963435998936965e+08 1.2752071908277836e+08 1.2513819352035943e+08 1.2226169375287299e+08 1.1904679090957469e+08 1.1549342928854768e+08 1.1161567840625748e+08 1.0744452348188965e+08 1.0302947169806738e+08 9.8438205794498935e+07 9.3753670550200447e+07 8.9068526216120005e+07 8.4476926211827993e+07 8.0065717879449680e+07 7.5908218554673642e+07 7.2059180450689211e+07 6.8547996247393623e+07 6.5383161926677287e+07 6.2557525336222336e+07 6.0051126147499971e+07 5.7837747150584929e+07 5.5887915647341400e+07 5.4174245941988409e+07 5.2669396980095871e+07 5.1351077453148052e+07 5.0197472966656893e+07 4.9192684764254257e+07 4.8320367837140180e+07 4.7566732853141151e+07 4.6921086010249160e+07 4.6371937710774414e+07 4.5908200543350257e+07 4.5521818868294135e+07 4.5202649445673376e+07 4.4943442630749904e+07 4.4735775890105560e+07 4.4572473996733241e+07 4.4443730011105441e+07 4.4339953845379926e+07 4.4254094143305115e+07 4.4179401078174606e+07 4.4109157203870028e+07 4.4059526894641258e+07 4.4009438922815524e+07 4.3958342283459865e+07 4.3904827589307502e+07 4.3849622862612456e+07 4.3791134053215206e+07 4.3731360559732340e+07 4.3664923045746364e+07 4.3593820654877089e+07 4.3516744997378163e+07 4.3432674382977322e+07 4.3340367286932282e+07 4.3238425103500366e+07 4.3124832213257283e+07 4.2999865937179610e+07 4.2858738264138140e+07 4.2700509395576894e+07 4.2522883435402773e+07 4.2323389635034151e+07 4.2099480018830642e+07 4.1848598863782950e+07 4.1567913692088544e+07 4.1257852744792670e+07 4.0912924139344513e+07 4.0534341305457748e+07 4.0122980016580671e+07 3.9682066834089294e+07 3.9217091534943715e+07 3.8738503304273434e+07 3.8261845713805243e+07 3.7812629949634269e+07 3.7422811654114045e+07 3.7142567448658690e+07 3.7041749613919094e+07 3.7221897776815891e+07 3.7830750727301516e+07 3.9092190338642322e+07 4.1360623345988199e+07 4.5233310874353096e+07 8.2619243370571593e+06 +1.0563287762587754e+01 1.4269468359725934e+08 1.4268046188007820e+08 1.4265632939115518e+08 1.4262419133158484e+08 1.4259089844371408e+08 1.4256749323607102e+08 1.4255905264069152e+08 1.4255710191564512e+08 1.4255269840757102e+08 1.4254351589774275e+08 1.4252996048342168e+08 1.4251151461859486e+08 1.4248718322649509e+08 1.4245596078814933e+08 1.4241679405106959e+08 1.4236838989398807e+08 1.4230920128772536e+08 1.4223743361447746e+08 1.4215098863886252e+08 1.4204738693807796e+08 1.4192372070258945e+08 1.4177651200409311e+08 1.4160091264226320e+08 1.4138858000479060e+08 1.4113067358047363e+08 1.4082275718276098e+08 1.4045952916208988e+08 1.4003276895269233e+08 1.3953245317482823e+08 1.3894708934429559e+08 1.3826368177278268e+08 1.3746765029799387e+08 1.3654278732043394e+08 1.3547128060308227e+08 1.3423384006625956e+08 1.3280993896564403e+08 1.3117825336779822e+08 1.2931732201729445e+08 1.2720651136426319e+08 1.2482728529636301e+08 1.2195492347935592e+08 1.1874484559072943e+08 1.1519706338870879e+08 1.1132569764268430e+08 1.0716175776330362e+08 1.0275473650448728e+08 9.8172253515174404e+07 9.3497136288807824e+07 8.8821875254724830e+07 8.4240413681191906e+07 7.9839368267516300e+07 7.5691824196923628e+07 7.1852322701611370e+07 6.8350099259000972e+07 6.5193545813015401e+07 6.2375454744283222e+07 5.9875857790265448e+07 5.7668561157480210e+07 5.5724138309760951e+07 5.4015254675250530e+07 5.2514629410727873e+07 5.1200022757924117e+07 5.0049675354532860e+07 4.9047728667917386e+07 4.8177881621534817e+07 4.7426382534459151e+07 4.6782566747239761e+07 4.6234977114268884e+07 4.5772557655621968e+07 4.5387275297601596e+07 4.5069015992660068e+07 4.4810550208737701e+07 4.4603479286102630e+07 4.4440647915752709e+07 4.4312276821961895e+07 4.4208803193488404e+07 4.4123195175861605e+07 4.4048721932455555e+07 4.3978685410506308e+07 4.3929201809191383e+07 4.3879261963608280e+07 4.3828316461702392e+07 4.3774960067731045e+07 4.3719918643573061e+07 4.3661602902958490e+07 4.3602006074902616e+07 4.3535765090364844e+07 4.3464873027149670e+07 4.3388025365669116e+07 4.3304203437622935e+07 4.3212169390687607e+07 4.3110528756010763e+07 4.2997271926784173e+07 4.2872675152935237e+07 4.2731964936244674e+07 4.2574204107903987e+07 4.2397103562921070e+07 4.2198199861061350e+07 4.1974952563395306e+07 4.1724813506599389e+07 4.1444958639887646e+07 4.1135814696443483e+07 4.0791906375607811e+07 4.0414443373283096e+07 4.0004298872470714e+07 3.9564689890717119e+07 3.9101089966556452e+07 3.8623917377226159e+07 3.8148669762317792e+07 3.7700782626068778e+07 3.7312117397831649e+07 3.7032702146751739e+07 3.6932182578413807e+07 3.7111797885895528e+07 3.7718849878191508e+07 3.8976558223332472e+07 4.1238281411151022e+07 4.5099513602470212e+07 8.2325880236788075e+06 +1.0568256085362012e+01 1.4236239313326544e+08 1.4234820429668784e+08 1.4232412639230013e+08 1.4229206015193033e+08 1.4225883911982629e+08 1.4223547929366061e+08 1.4222704584959832e+08 1.4222508403122595e+08 1.4222067183265179e+08 1.4221148765919626e+08 1.4219793577434590e+08 1.4217949899648204e+08 1.4215518355328009e+08 1.4212398507969463e+08 1.4208485140596899e+08 1.4203649083692101e+08 1.4197735802468741e+08 1.4190566024175355e+08 1.4181930145450932e+08 1.4171580488894421e+08 1.4159226588028315e+08 1.4144521035525084e+08 1.4126979587228972e+08 1.4105768980540168e+08 1.4080006035422787e+08 1.4049247553445756e+08 1.4012964122638828e+08 1.3970334764978284e+08 1.3920358428949636e+08 1.3861887381755230e+08 1.3793623835341594e+08 1.3714111863310584e+08 1.3621733152401030e+08 1.3514709332782385e+08 1.3391114706497265e+08 1.3248900414315824e+08 1.3085938416141337e+08 1.2900087489686191e+08 1.2689289700128973e+08 1.2451697284413140e+08 1.2164875130574760e+08 1.1844350018692747e+08 1.1490129840943179e+08 1.1103631764985615e+08 1.0687959113874309e+08 1.0248059683883032e+08 9.7906891006477520e+07 9.3241183663152114e+07 8.8575795395873651e+07 8.4004459492596775e+07 7.9613562364741161e+07 7.5475957557172686e+07 7.1645975928100675e+07 6.8152696333706886e+07 6.5004407193634920e+07 6.2193845833629958e+07 5.9701036332659893e+07 5.7499808473250657e+07 5.5560781937172309e+07 5.3856673277933605e+07 5.2360261803959541e+07 5.1049359242983595e+07 4.9902261169272527e+07 4.8903149204345122e+07 4.8035766112772010e+07 4.7286397783687949e+07 4.6644408637522660e+07 4.6098373904663667e+07 4.5637268961959712e+07 4.5253083249363080e+07 4.4935731839862376e+07 4.4678005267927453e+07 4.4471528690305755e+07 4.4309166670094222e+07 4.4181167529411890e+07 4.4077995667215288e+07 4.3992638686070345e+07 4.3918384694409050e+07 4.3848554984269165e+07 4.3799217707445763e+07 4.3749425600757577e+07 4.3698630840802476e+07 4.3645432332864597e+07 4.3590553783912703e+07 4.3532410658964887e+07 4.3472990034738198e+07 4.3406945065388881e+07 4.3336262779489972e+07 4.3259642517398380e+07 4.3176068625025064e+07 4.3084306912738189e+07 4.2982967037804954e+07 4.2870045390042864e+07 4.2745817152273066e+07 4.2605523299610190e+07 4.2448229286871262e+07 4.2271652782394350e+07 4.2073337635028206e+07 4.1850750922942616e+07 4.1601352022742853e+07 4.1322325288308442e+07 4.1014095950064756e+07 4.0671205244332597e+07 4.0294859143572249e+07 3.9885928247199804e+07 3.9447620053775609e+07 3.8985391906025194e+07 3.8509631254063673e+07 3.8035789925425254e+07 3.7589227941384360e+07 3.7201712763473116e+07 3.6923124297833063e+07 3.6822902215310954e+07 3.7001986061474919e+07 3.7607241807701282e+07 3.8861228649197869e+07 4.1116259572900966e+07 4.4966066399826065e+07 8.2033504382630540e+06 +1.0573224408136271e+01 1.4203067064037883e+08 1.4201651435648128e+08 1.4199249065603530e+08 1.4196049619286990e+08 1.4192734691478607e+08 1.4190403242667136e+08 1.4189560615613413e+08 1.4189363331328377e+08 1.4188921249763387e+08 1.4188002673420721e+08 1.4186647845968279e+08 1.4184805085830197e+08 1.4182375146269518e+08 1.4179257706394982e+08 1.4175347657719052e+08 1.4170515973604661e+08 1.4164608287701926e+08 1.4157445516688973e+08 1.4148818277839002e+08 1.4138479159195104e+08 1.4126138009294617e+08 1.4111447807081389e+08 1.4093924885011736e+08 1.4072736980418590e+08 1.4047001786664933e+08 1.4016276526883674e+08 1.3980032542478606e+08 1.3937449934950998e+08 1.3887528940681568e+08 1.3829123343977627e+08 1.3760937139014435e+08 1.3681516490482622e+08 1.3589245532855648e+08 1.3482348750731316e+08 1.3358903755892242e+08 1.3216865502988923e+08 1.3054110302257639e+08 1.2868501829694921e+08 1.2657987563020684e+08 1.2420725576367767e+08 1.2134317678874986e+08 1.1814275420800848e+08 1.1460613381016295e+08 1.1074753783464417e+08 1.0659802296104915e+08 1.0220705200108500e+08 9.7642117518191010e+07 9.2985811877774924e+07 8.8330285805896387e+07 8.3769062782563031e+07 7.9388299287170976e+07 7.5260617740067899e+07 7.1440139231768623e+07 6.7955786576947600e+07 6.4815745183394998e+07 6.2012697732011713e+07 5.9526660917651974e+07 5.7331488256694809e+07 5.5397845704231225e+07 5.3698500940129913e+07 5.2206293364238456e+07 5.0899086125903279e+07 4.9755229640473641e+07 4.8758945613757588e+07 4.7894020560497880e+07 4.7146777858733542e+07 4.6506610946188860e+07 4.5962127353231341e+07 4.5502333738889806e+07 4.5119242004577011e+07 4.4802796271978676e+07 4.4545807096257783e+07 4.4339923393288076e+07 4.4178029552447841e+07 4.4050401427730389e+07 4.3947530562308401e+07 4.3862423971072242e+07 4.3788388662370749e+07 4.3718765224578723e+07 4.3669573889633134e+07 4.3619929135167994e+07 4.3569284722639300e+07 4.3516243687284134e+07 4.3461527587156102e+07 4.3403556625677839e+07 4.3344311744642660e+07 4.3278462277301438e+07 4.3207989219483495e+07 4.3131595761423357e+07 4.3048269255325638e+07 4.2956779164663874e+07 4.2855739262072019e+07 4.2743151918018684e+07 4.2619291252168037e+07 4.2479412673558906e+07 4.2322584254279897e+07 4.2146530418322377e+07 4.1948802284638301e+07 4.1726874428771667e+07 4.1478213747449860e+07 4.1200012977137215e+07 4.0892695850354761e+07 4.0550820095640525e+07 4.0175587972481579e+07 3.9767867503415145e+07 3.9330856692986287e+07 3.8869996730405226e+07 3.8395644319508836e+07 3.7923205595382616e+07 3.7477965295007557e+07 3.7091597156666413e+07 3.6813833311983243e+07 3.6713907936202481e+07 3.6892461712339908e+07 3.7495925914930105e+07 3.8746200995306373e+07 4.0994557174294092e+07 4.4832968547983311e+07 8.1742112739577442e+06 +1.0578192730910530e+01 1.4169951517032531e+08 1.4168539132194576e+08 1.4166142202989435e+08 1.4162949934327739e+08 1.4159642170263955e+08 1.4157315251270419e+08 1.4156473343802842e+08 1.4156274963947722e+08 1.4155832027965689e+08 1.4154913299950215e+08 1.4153558841596040e+08 1.4151717007991222e+08 1.4149288683005300e+08 1.4146173661575693e+08 1.4142266943884328e+08 1.4137439646460256e+08 1.4131537571700838e+08 1.4124381826089233e+08 1.4115763248007503e+08 1.4105434691451776e+08 1.4093106320626849e+08 1.4078431501389971e+08 1.4060927143604213e+08 1.4039761985803270e+08 1.4014054597079903e+08 1.3983362623389822e+08 1.3947158159918943e+08 1.3904622388714263e+08 1.3854756835392556e+08 1.3796416802853405e+08 1.3728308068912810e+08 1.3648978890680745e+08 1.3556815851326364e+08 1.3450046290347642e+08 1.3326751129054224e+08 1.3184889134559384e+08 1.3022340964558977e+08 1.2836975188300391e+08 1.2626744688369273e+08 1.2389813365154216e+08 1.2103819948213950e+08 1.1784260716080782e+08 1.1431156904748265e+08 1.1045935760105975e+08 1.0631705258078147e+08 1.0193410128897350e+08 9.7377932298246086e+07 9.2731020135678709e+07 8.8085345649963394e+07 8.3534222686741576e+07 7.9163578150068820e+07 7.5045803849863142e+07 7.1234811713982671e+07 6.7759369094430998e+07 6.4627558897323340e+07 6.1832009567519605e+07 5.9352730688301928e+07 5.7163599666965879e+07 5.5235328786122315e+07 5.3540736852369748e+07 5.2052723296469875e+07 5.0749202624827154e+07 4.9608579998175800e+07 4.8615117136883102e+07 4.7752644214912452e+07 4.7007522018016174e+07 4.6369172938858606e+07 4.5826236731734224e+07 4.5367751263490848e+07 4.4985750844827406e+07 4.4670208574426271e+07 4.4413954982183635e+07 4.4208662686074689e+07 4.4047235856029145e+07 4.3919977811989069e+07 4.3817407175292641e+07 4.3732550328599833e+07 4.3658733135155126e+07 4.3589315431349918e+07 4.3540269656466037e+07 4.3490771868414231e+07 4.3440277409438290e+07 4.3387393434221379e+07 4.3332839357293651e+07 4.3275040108102173e+07 4.3215970510554254e+07 4.3150316033030488e+07 4.3080051655182257e+07 4.3003884407046922e+07 4.2920804639189973e+07 4.2829585458639883e+07 4.2728844742610298e+07 4.2616590826320827e+07 4.2493096770218752e+07 4.2353632377789482e+07 4.2197268332388744e+07 4.2021735795838863e+07 4.1824593138238676e+07 4.1603322412754387e+07 4.1355398016627334e+07 4.1078021046624430e+07 4.0771613742468812e+07 4.0430750280235201e+07 4.0056629216703944e+07 3.9650116004325114e+07 3.9214399178524762e+07 3.8754903817327172e+07 3.8281955958720379e+07 3.7810916164918773e+07 3.7366994086783223e+07 3.6981769983434267e+07 3.6704828599696070e+07 3.6605199153260455e+07 3.6783224247728124e+07 3.7384901599455990e+07 3.8631474641273640e+07 4.0873173558866873e+07 4.4700219329082295e+07 8.1451702247440610e+06 +1.0583161053684789e+01 1.4136892704243109e+08 1.4135483520088917e+08 1.4133092045398825e+08 1.4129906949239135e+08 1.4126606335353833e+08 1.4124283942498723e+08 1.4123442756872621e+08 1.4123243288273448e+08 1.4122799505159041e+08 1.4121880632759577e+08 1.4120526551535460e+08 1.4118685653315127e+08 1.4116258952656847e+08 1.4113146360553131e+08 1.4109242986068788e+08 1.4104420089157784e+08 1.4098523641250989e+08 1.4091374939038110e+08 1.4082765042476109e+08 1.4072447072036079e+08 1.4060131508181718e+08 1.4045472104360580e+08 1.4027986348619485e+08 1.4006843981975305e+08 1.3981164451489577e+08 1.3950505827303401e+08 1.3914340958729896e+08 1.3871852109327120e+08 1.3822042095356441e+08 1.3763767739727086e+08 1.3695736605311111e+08 1.3616499042891806e+08 1.3524444085316637e+08 1.3417801927445231e+08 1.3294656799834821e+08 1.3152971280651450e+08 1.2990630372097644e+08 1.2805507531660527e+08 1.2595561039114505e+08 1.2358960610099630e+08 1.2073381893641444e+08 1.1754305854915017e+08 1.1401760357534587e+08 1.1017177635054299e+08 1.0603667934614770e+08 1.0166174399829932e+08 9.7114334592810676e+07 9.2476807638574824e+07 8.7840974092122674e+07 8.3299938339939535e+07 7.8939398068314984e+07 7.4831514990459695e+07 7.1029992476154894e+07 6.7563442991688058e+07 6.4439847450564280e+07 6.1651780468445718e+07 5.9179244788214646e+07 5.6996141863620229e+07 5.5073230358430646e+07 5.3383380205624759e+07 5.1899550806036152e+07 5.0599707958370402e+07 4.9462311472991735e+07 4.8471663014942423e+07 4.7611636326672912e+07 4.6868629520560198e+07 4.6232093881721951e+07 4.5690701312591970e+07 4.5233520813464023e+07 4.4852609052201577e+07 4.4537968033036642e+07 4.4282448214805797e+07 4.4077745860380709e+07 4.3916784874584921e+07 4.3789895977650434e+07 4.3687624803142287e+07 4.3603017056940190e+07 4.3529417412154801e+07 4.3460204905124672e+07 4.3411304309213020e+07 4.3361953102545612e+07 4.3311608204177931e+07 4.3258880877396733e+07 4.3204488399023302e+07 4.3146860411781281e+07 4.3087965638916247e+07 4.3022505640165269e+07 4.2952449395346604e+07 4.2876507764180526e+07 4.2793674087864704e+07 4.2702725107357837e+07 4.2602282793724015e+07 4.2490361431083009e+07 4.2367233024469055e+07 4.2228181732698381e+07 4.2072280844072461e+07 4.1897268240698107e+07 4.1700709524636909e+07 4.1480094207235985e+07 4.1232904166543536e+07 4.0956348837563664e+07 4.0650848972182617e+07 4.0310995149307437e+07 3.9937982233447984e+07 3.9532673113704942e+07 3.9098246881113403e+07 3.8640112544887297e+07 3.8168565557406887e+07 3.7698921027297869e+07 3.7256313717093922e+07 3.6872230650387697e+07 3.6596109571940780e+07 3.6496775279031262e+07 3.6674273077432565e+07 3.7274168261357576e+07 3.8517048967104271e+07 4.0752108070721008e+07 4.4567818025749348e+07 8.1162269854348795e+06 +1.0588129376459047e+01 1.4103890566354111e+08 1.4102484623905301e+08 1.4100098597386909e+08 1.4096920651287267e+08 1.4093627173514819e+08 1.4091309303208077e+08 1.4090468841757098e+08 1.4090268291191956e+08 1.4089823668221521e+08 1.4088904658688077e+08 1.4087550962562859e+08 1.4085711008538693e+08 1.4083285941916847e+08 1.4080175789981788e+08 1.4076275770839152e+08 1.4071457288170880e+08 1.4065566482718739e+08 1.4058424841778490e+08 1.4049823647340816e+08 1.4039516286859974e+08 1.4027213557668310e+08 1.4012569601482141e+08 1.3995102485256064e+08 1.3973982953786984e+08 1.3948331334360260e+08 1.3917706122574082e+08 1.3881580922263137e+08 1.3839139079465783e+08 1.3789384702445415e+08 1.3731176135528085e+08 1.3663222728045943e+08 1.3584076925685495e+08 1.3492130211918837e+08 1.3385615637429798e+08 1.3262620741680337e+08 1.3121111912484993e+08 1.2958978493565725e+08 1.2774098825607233e+08 1.2564436577829383e+08 1.2328167270189950e+08 1.2043003469873631e+08 1.1724410787382020e+08 1.1372423684459518e+08 1.0988479348215126e+08 1.0575690260312064e+08 1.0138997942291823e+08 9.6851323646483660e+07 9.2223173586688682e+07 8.7597170295271054e+07 8.3066208876185954e+07 7.8715758156128541e+07 7.4617750265439764e+07 7.0825680619383991e+07 6.7368007374399081e+07 6.4252609958512895e+07 6.1472009563360952e+07 5.9006202361171298e+07 5.6829114006664298e+07 5.4911549597197428e+07 5.3226430191327535e+07 5.1746775098881513e+07 5.0450601345673896e+07 4.9316423296004191e+07 4.8328582489861786e+07 4.7470996147091843e+07 4.6730099625952385e+07 4.6095373041514568e+07 4.5555520368716791e+07 4.5099641666990273e+07 4.4719815909434274e+07 4.4406073934378602e+07 4.4151286083704956e+07 4.3947172208401740e+07 4.3786675902459584e+07 4.3660155220791817e+07 4.3558182743421465e+07 4.3473823454926737e+07 4.3400440793437161e+07 4.3331432946989767e+07 4.3282677149806894e+07 4.3233472140279703e+07 4.3183276410293877e+07 4.3130705321177684e+07 4.3076474017538942e+07 4.3019016842851438e+07 4.2960296436881527e+07 4.2895030406845480e+07 4.2825181749164015e+07 4.2749465143334866e+07 4.2666876913136624e+07 4.2576197424098611e+07 4.2476052730286159e+07 4.2364463048938937e+07 4.2241699333640061e+07 4.2103060059184000e+07 4.1947621112735189e+07 4.1773127078969128e+07 4.1577150773175098e+07 4.1357189145172015e+07 4.1110731534182280e+07 4.0834995691339068e+07 4.0530400885697708e+07 4.0191554054558113e+07 3.9819646380431466e+07 3.9415538195757277e+07 3.8982399172029346e+07 3.8525622291618362e+07 3.8055472501713604e+07 3.7587219576267853e+07 3.7145923586768508e+07 3.6762978564502843e+07 3.6487675640257135e+07 3.6388635726616606e+07 3.6565607611598223e+07 3.7163725301209062e+07 3.8402923353436157e+07 4.0631360054562420e+07 4.4435763921272799e+07 8.0873812516730642e+06 +1.0593097699233306e+01 1.4070945186724252e+08 1.4069542416398871e+08 1.4067161852492785e+08 1.4063991025448981e+08 1.4060704671392569e+08 1.4058391319860592e+08 1.4057551584954262e+08 1.4057349959166536e+08 1.4056904503564477e+08 1.4055985364118248e+08 1.4054632061055788e+08 1.4052793059989321e+08 1.4050369637062863e+08 1.4047261936049861e+08 1.4043365284332594e+08 1.4038551229549062e+08 1.4032666082044724e+08 1.4025531520143530e+08 1.4016939048280817e+08 1.4006642321436468e+08 1.3994352454401222e+08 1.3979723977793342e+08 1.3962275538299298e+08 1.3941178885665801e+08 1.3915555229699603e+08 1.3884963492731005e+08 1.3848878033485106e+08 1.3806483281410378e+08 1.3756784638122997e+08 1.3698641970790175e+08 1.3630766416560739e+08 1.3551712517253700e+08 1.3459874207867017e+08 1.3353487395341796e+08 1.3230642927681386e+08 1.3089311000925533e+08 1.2927385297280289e+08 1.2742749035567336e+08 1.2533371266763531e+08 1.2297433304081450e+08 1.2012684631325316e+08 1.1694575463257231e+08 1.1343146830356051e+08 1.0959840839215650e+08 1.0547772169543119e+08 1.0111880685461144e+08 9.6588898702089369e+07 9.1970117178899214e+07 8.7353933421304375e+07 8.2833033428684756e+07 7.8492657527384445e+07 7.4404508778255492e+07 7.0621875244797200e+07 6.7173061348285750e+07 6.4065845536644034e+07 6.1292695981211156e+07 5.8833602551443413e+07 5.6662515256450802e+07 5.4750285678957604e+07 5.3069886001504347e+07 5.1594395381391272e+07 5.0301882006410666e+07 4.9170914698928922e+07 4.8185874803922459e+07 4.7330722928010069e+07 4.6591931594334647e+07 4.5959009685584649e+07 4.5420693173616633e+07 4.4966113102885790e+07 4.4587370699804366e+07 4.4274525565423578e+07 4.4020467879093073e+07 4.3816941022959255e+07 4.3656908234610237e+07 4.3530754838139214e+07 4.3429080294308409e+07 4.3344968821978629e+07 4.3271802579536244e+07 4.3202998858596489e+07 4.3154387480671495e+07 4.3105328284820072e+07 4.3055281331882119e+07 4.3002866070416376e+07 4.2948795518622629e+07 4.2891508708004244e+07 4.2832962212038688e+07 4.2767889641727395e+07 4.2698248026537322e+07 4.2622755855495639e+07 4.2540412427401483e+07 4.2450001722686961e+07 4.2350153867755324e+07 4.2238894997188449e+07 4.2116495016927436e+07 4.1978266678684644e+07 4.1823288462312654e+07 4.1649311637581483e+07 4.1453916213851482e+07 4.1234606560010679e+07 4.0988879456973821e+07 4.0713960949865296e+07 4.0410268829862617e+07 4.0072426348260775e+07 3.9701621015894264e+07 3.9298710615273133e+07 3.8866855422995612e+07 3.8411432436735660e+07 3.7942676178375177e+07 3.7475811206086732e+07 3.7035823097185500e+07 3.6654013133291915e+07 3.6379526216531992e+07 3.6280779909566678e+07 3.6457227260960869e+07 3.7053572120080441e+07 3.8289097181314833e+07 4.0510928855461314e+07 4.4304056299491331e+07 8.0586327199298143e+06 +1.0598066022007565e+01 1.4038056395226854e+08 1.4036656891438279e+08 1.4034281775439265e+08 1.4031118055233130e+08 1.4027838815469465e+08 1.4025529978447756e+08 1.4024690972568220e+08 1.4024488278242883e+08 1.4024041997225800e+08 1.4023122735055304e+08 1.4021769832955986e+08 1.4019931793575379e+08 1.4017510023939350e+08 1.4014404784559372e+08 1.4010511512263399e+08 1.4005701898915645e+08 1.3999822424771494e+08 1.3992694959529200e+08 1.3984111230559820e+08 1.3973825160860792e+08 1.3961548183257282e+08 1.3946935217965657e+08 1.3929505492099553e+08 1.3908431761651611e+08 1.3882836121124005e+08 1.3852277920898080e+08 1.3816232274906164e+08 1.3773884697006541e+08 1.3724241883441156e+08 1.3666165225637826e+08 1.3598367649901271e+08 1.3519405795366690e+08 1.3427676049473155e+08 1.3321417175793067e+08 1.3198723330530505e+08 1.3057568516439380e+08 1.2895850751191103e+08 1.2711458126651827e+08 1.2502365067788918e+08 1.2266758670105137e+08 1.1982425332098623e+08 1.1664799832029583e+08 1.1313929739789842e+08 1.0931262047469541e+08 1.0519913596454380e+08 1.0084822558322471e+08 9.6327059000865161e+07 9.1717637612736389e+07 8.7111262630952567e+07 8.2600411129912034e+07 7.8270095295077235e+07 7.4191789631677300e+07 7.0418575453439534e+07 6.6978604019151062e+07 6.3879553300796881e+07 6.1113838851078242e+07 5.8661444503545448e+07 5.6496344773771666e+07 5.4589437780620664e+07 5.2913746828538649e+07 5.1442410860538453e+07 5.0153549160743125e+07 4.9025784913931325e+07 4.8043539200062752e+07 4.7190815921788327e+07 4.6454124686320044e+07 4.5823003081806526e+07 4.5286219001349121e+07 4.4832934400553972e+07 4.4455272707183070e+07 4.4143322213890336e+07 4.3889992891813099e+07 4.3687051597436346e+07 4.3527481166555896e+07 4.3401694126927018e+07 4.3300316754532196e+07 4.3216452458130941e+07 4.3143502071618795e+07 4.3074901942249745e+07 4.3026434604824454e+07 4.2977520840008885e+07 4.2927622273541421e+07 4.2875362430641904e+07 4.2821452208567940e+07 4.2764335314557225e+07 4.2705962272641271e+07 4.2641082654128969e+07 4.2571647537759043e+07 4.2496379212353721e+07 4.2414279943623558e+07 4.2324137317540616e+07 4.2224585522154383e+07 4.2113656593650982e+07 4.1991619394113153e+07 4.1853800913246728e+07 4.1699282217402518e+07 4.1525821243780062e+07 4.1331005177110493e+07 4.1112345785838969e+07 4.0867347272902057e+07 4.0593243955572680e+07 4.0290452152010597e+07 3.9953611383254699e+07 3.9583905498681627e+07 3.9182189737557970e+07 3.8751615006295286e+07 3.8297542359758496e+07 3.7830175974596307e+07 3.7364695311421014e+07 3.6926011650170602e+07 3.6545333764792852e+07 3.6271660713217892e+07 3.6173207241887979e+07 3.6349131436710678e+07 3.6943708119513527e+07 3.8175569832384437e+07 4.0390813819216385e+07 4.4172694444896936e+07 8.0299810875029927e+06 +1.0603034344781824e+01 1.4005224347726515e+08 1.4003828032630539e+08 1.4001458332208008e+08 1.3998301724194261e+08 1.3995029591953200e+08 1.3992725264561543e+08 1.3991886990247369e+08 1.3991683234030896e+08 1.3991236134781855e+08 1.3990316757053295e+08 1.3988964263787088e+08 1.3987127194768101e+08 1.3984707087988976e+08 1.3981604320876944e+08 1.3977714439936051e+08 1.3972909281485325e+08 1.3967035495994300e+08 1.3959915144926313e+08 1.3951340179011986e+08 1.3941064789785039e+08 1.3928800728705496e+08 1.3914203306218874e+08 1.3896792330617243e+08 1.3875741565328598e+08 1.3850173991828644e+08 1.3819649389769855e+08 1.3783643628667673e+08 1.3741343307688469e+08 1.3691756419052216e+08 1.3633745879790559e+08 1.3566026406700414e+08 1.3487156737418234e+08 1.3395535712667236e+08 1.3289404953049707e+08 1.3166861922567219e+08 1.3025884429146045e+08 1.2864374822890617e+08 1.2680226063594294e+08 1.2471417942456146e+08 1.2236143326234066e+08 1.1952225525964417e+08 1.1635083842897119e+08 1.1284772357021867e+08 1.0902742912101549e+08 1.0492114474961588e+08 1.0057823489671417e+08 9.6065803782155097e+07 9.1465734084421009e+07 8.6869157084056780e+07 8.2368341111500069e+07 7.8048070572024494e+07 7.3979591928645238e+07 7.0215780346076578e+07 6.6784634492811233e+07 6.3693732366834797e+07 6.0935437302411288e+07 5.8489727362531364e+07 5.6330601719869941e+07 5.4429005079622328e+07 5.2758011865403600e+07 5.1290820743697278e+07 5.0005602029414937e+07 4.8881033173807055e+07 4.7901574921769924e+07 4.7051274381390564e+07 4.6316678163284667e+07 4.5687352498634838e+07 4.5152097126627758e+07 4.4700104839943819e+07 4.4323521215991937e+07 4.4012463168025285e+07 4.3759860413217224e+07 4.3557503225847766e+07 4.3398393994374499e+07 4.3272972384995975e+07 4.3171891423423328e+07 4.3088273663977876e+07 4.3015538571416639e+07 4.2947141500719793e+07 4.2898817825920910e+07 4.2850049110259391e+07 4.2800298540506080e+07 4.2748193707883216e+07 4.2694443394315995e+07 4.2637495970346101e+07 4.2579295927435815e+07 4.2514608753830008e+07 4.2445379593888782e+07 4.2370334526027128e+07 4.2288478775272012e+07 4.2198603523594663e+07 4.2099347010088518e+07 4.1988747156692550e+07 4.1867071785569578e+07 4.1729662085441113e+07 4.1575601703029059e+07 4.1402655225506231e+07 4.1208416994060449e+07 4.0990406157208346e+07 4.0746134320529111e+07 4.0472844051434666e+07 4.0170950200048707e+07 3.9835108512854204e+07 3.9466499188058525e+07 3.9065974928385936e+07 3.8636677294695385e+07 3.8183951440946415e+07 3.7717971278036699e+07 3.7253871287616067e+07 3.6816488648090936e+07 3.6436939867510021e+07 3.6164078543289118e+07 3.6065917138139680e+07 3.6241319550526090e+07 3.6834132701596767e+07 3.8062340688750595e+07 4.0271014292092644e+07 4.4041677642538838e+07 8.0014260525154267e+06 +1.0608002667556082e+01 1.3972448933115894e+08 1.3971055828241530e+08 1.3968691518980727e+08 1.3965542017216027e+08 1.3962276986662453e+08 1.3959977163375303e+08 1.3959139623239109e+08 1.3958934811747694e+08 1.3958486901439577e+08 1.3957567415274736e+08 1.3956215338669741e+08 1.3954379248643228e+08 1.3951960814233640e+08 1.3948860529983351e+08 1.3944974052222419e+08 1.3940173362058550e+08 1.3934305280410302e+08 1.3927192060908028e+08 1.3918625878080186e+08 1.3908361192487264e+08 1.3896110074802890e+08 1.3881528226370019e+08 1.3864136037372196e+08 1.3843108279927057e+08 1.3817568824599496e+08 1.3787077881649867e+08 1.3751112076484698e+08 1.3708859094511476e+08 1.3659328225207409e+08 1.3601383912576419e+08 1.3533742665199849e+08 1.3454965320397896e+08 1.3363453172998028e+08 1.3257450700972991e+08 1.3135058675697671e+08 1.2994258708768341e+08 1.2832957479614472e+08 1.2649052810788648e+08 1.2440529851973365e+08 1.2205587230155459e+08 1.1922085166402745e+08 1.1605427444742772e+08 1.1255674626063265e+08 1.0874283372010283e+08 1.0464374738765797e+08 1.0030883408100800e+08 9.5805132283994645e+07 9.1214405788705841e+07 8.6627615939163268e+07 8.2136822504348010e+07 7.7826582470396429e+07 7.3767914771520674e+07 7.0013489023644269e+07 6.6591151875152670e+07 6.3508381850856595e+07 6.0757490464997850e+07 5.8318450273609295e+07 5.6165285256362900e+07 5.4268986753862739e+07 5.2602680305503160e+07 5.1139624238902494e+07 4.9858039833795898e+07 4.8736658711858884e+07 4.7759981213075578e+07 4.6912097560374558e+07 4.6179591286990114e+07 4.5552057205131456e+07 4.5018326824643441e+07 4.4567623701619670e+07 4.4192115511317968e+07 4.3881947716579355e+07 4.3630069735281318e+07 4.3428295202729665e+07 4.3269646014809951e+07 4.3144588910792261e+07 4.3043803600902945e+07 4.2960431740708046e+07 4.2887911381228387e+07 4.2819716837448873e+07 4.2771536448119380e+07 4.2722912400544979e+07 4.2673309438549183e+07 4.2621359208812065e+07 4.2567768383457541e+07 4.2510989983797334e+07 4.2452962485879362e+07 4.2388467251342222e+07 4.2319443506451279e+07 4.2244621109319471e+07 4.2163008236472361e+07 4.2073399656465955e+07 4.1974437648696855e+07 4.1864166005276747e+07 4.1742851512227647e+07 4.1605849518419228e+07 4.1452246244857073e+07 4.1279812911215752e+07 4.1086150996259972e+07 4.0868787009282716e+07 4.0625239938966595e+07 4.0352760581034191e+07 4.0051762322382458e+07 3.9716917090965152e+07 3.9349401443945378e+07 3.8950065554208063e+07 3.8522041661566183e+07 3.8070659060876057e+07 3.7606061476976372e+07 3.7143338530343033e+07 3.6707253493767180e+07 3.6328830850447789e+07 3.6056779120154440e+07 3.5958909013378687e+07 3.6133791014590643e+07 3.6724845268898398e+07 3.7949409133056447e+07 4.0151529620874166e+07 4.3911005178054258e+07 7.9729673139132904e+06 +1.0612970990330341e+01 1.3939730146813959e+08 1.3938340245108384e+08 1.3935981333941606e+08 1.3932838920862827e+08 1.3929580984850943e+08 1.3927285659666562e+08 1.3926448856381726e+08 1.3926242996161017e+08 1.3925794281950906e+08 1.3924874694442993e+08 1.3923523042294115e+08 1.3921687939860687e+08 1.3919271187269387e+08 1.3916173396386617e+08 1.3912290333618957e+08 1.3907494125017178e+08 1.3901631762312025e+08 1.3894525691631350e+08 1.3885968311761931e+08 1.3875714352799210e+08 1.3863476205197096e+08 1.3848909961820310e+08 1.3831536595498100e+08 1.3810531888194293e+08 1.3785020601814675e+08 1.3754563378423974e+08 1.3718637599665710e+08 1.3676432038109711e+08 1.3626957281752729e+08 1.3569079302921444e+08 1.3501516403275207e+08 1.3422831520901513e+08 1.3331428405627514e+08 1.3225554393062314e+08 1.3103313561523083e+08 1.2962691324687247e+08 1.2801598688213618e+08 1.2617938332278517e+08 1.2409700757212092e+08 1.2175090339204757e+08 1.1892004206564328e+08 1.1575830586185054e+08 1.1226636490645178e+08 1.0845883365855998e+08 1.0436694321348928e+08 1.0004002242015688e+08 9.5545043742612526e+07 9.0963651919159025e+07 8.6386638354093969e+07 8.1905854438689172e+07 7.7605630101921558e+07 7.3556757262543276e+07 6.9811700586901486e+07 6.6398155272322409e+07 6.3323500869222589e+07 6.0579997468911022e+07 5.8147612382537544e+07 5.6000394545377895e+07 5.4109381981704369e+07 5.2447751342816792e+07 5.0988820554592952e+07 4.9710861795547523e+07 4.8592660761893496e+07 4.7618757318600252e+07 4.6773284712825693e+07 4.6042863319896728e+07 4.5417116470948890e+07 4.4884907371298209e+07 4.4435490266699307e+07 4.4061054878745668e+07 4.3751775149028666e+07 4.3500620150542714e+07 4.3299426823281974e+07 4.3141236525115706e+07 4.3016543003393434e+07 4.2916052587474674e+07 4.2832925990086876e+07 4.2760619804027110e+07 4.2692627256471828e+07 4.2644589776225887e+07 4.2596110016436048e+07 4.2546654274087861e+07 4.2494858240621373e+07 4.2441426484036595e+07 4.2384816663948797e+07 4.2326961257899441e+07 4.2262657457668953e+07 4.2193838587587431e+07 4.2119238275610447e+07 4.2037867641939811e+07 4.1948525032299057e+07 4.1849856755751505e+07 4.1739912458944894e+07 4.1618957895575114e+07 4.1482362535949282e+07 4.1329215169169798e+07 4.1157293629958712e+07 4.0964206515942946e+07 4.0747487677813865e+07 4.0504663467922658e+07 4.0232992888449155e+07 3.9932887868061371e+07 3.9599036471988231e+07 3.9232611626735337e+07 3.8834460981868930e+07 3.8407707480747268e+07 3.7957664600815669e+07 3.7494445960148431e+07 3.7033096435945056e+07 3.6598305590581350e+07 3.6221006123129547e+07 3.5949761857757837e+07 3.5852182283077709e+07 3.6026545241619155e+07 3.6615845224459924e+07 3.7836774548498191e+07 4.0032359153046489e+07 4.3780676337745160e+07 7.9446045714643681e+06 +1.0617939313104600e+01 1.3907068012542683e+08 1.3905681299113658e+08 1.3903327766751045e+08 1.3900192422282657e+08 1.3896941571157485e+08 1.3894650737795955e+08 1.3893814674055740e+08 1.3893607771652910e+08 1.3893158260657734e+08 1.3892238578891495e+08 1.3890887358953694e+08 1.3889053252660370e+08 1.3886638191282961e+08 1.3883542904239967e+08 1.3879663268151432e+08 1.3874871554345122e+08 1.3869014925557873e+08 1.3861916020850727e+08 1.3853367463680083e+08 1.3843124254167807e+08 1.3830899103128186e+08 1.3816348495576650e+08 1.3798993987709883e+08 1.3778012372542334e+08 1.3752529305457428e+08 1.3722105861577728e+08 1.3686220179134613e+08 1.3644062118719372e+08 1.3594643568143746e+08 1.3536832029345861e+08 1.3469347598361045e+08 1.3390755315159725e+08 1.3299461385307887e+08 1.3193716002416067e+08 1.3071626551219848e+08 1.2931182245906037e+08 1.2770298415230274e+08 1.2586882591755421e+08 1.2378930618700740e+08 1.2144652610388204e+08 1.1861982599319263e+08 1.1546293215530978e+08 1.1197657894253835e+08 1.0817542832037862e+08 1.0409073155970584e+08 9.9771799196368396e+07 9.5285537392706230e+07 9.0713471667952865e+07 8.6146223485469699e+07 8.1675436043944120e+07 7.7385212577869996e+07 7.3346118503658623e+07 6.9610414136548132e+07 6.6205643790325269e+07 6.3139088538566492e+07 6.0402957444473580e+07 5.7977212835433163e+07 5.5835928749425128e+07 5.3950189942002930e+07 5.2293224171761081e+07 5.0838408899855487e+07 4.9564067137131229e+07 4.8449038558459252e+07 4.7477902483541399e+07 4.6634835093412369e+07 4.5906493525023349e+07 4.5282529566303208e+07 4.4751838042969748e+07 4.4303703816967741e+07 4.3930338604554869e+07 4.3621944755385883e+07 4.3371510952234894e+07 4.3170897383270703e+07 4.3013164823179655e+07 4.2888833962365478e+07 4.2788637684255466e+07 4.2705755714562237e+07 4.2633663143303402e+07 4.2565872062395692e+07 4.2517977115649186e+07 4.2469641264152236e+07 4.2420332354110219e+07 4.2368690111162744e+07 4.2315417004807375e+07 4.2258975320436120e+07 4.2201291554028332e+07 4.2137178684387065e+07 4.2068564150030553e+07 4.1994185338797271e+07 4.1913056306905538e+07 4.1823978967795379e+07 4.1725603649598397e+07 4.1615985837881349e+07 4.1495390257780306e+07 4.1359200462337874e+07 4.1206507802727066e+07 4.1035096711310685e+07 4.0842582885846309e+07 4.0626507499033883e+07 4.0384404247663081e+07 4.0113540318387628e+07 3.9814326186623856e+07 3.9481466010981672e+07 3.9116129097396217e+07 3.8719160578880347e+07 3.8293674126665667e+07 3.7844967442445844e+07 3.7383124116834797e+07 3.6923144401192293e+07 3.6489644342396908e+07 3.6113465095532656e+07 3.5843026170526281e+07 3.5745736363269255e+07 3.5919581644754343e+07 3.6507131971888363e+07 3.7724436318749912e+07 3.9913502236416869e+07 4.3650690408436559e+07 7.9163375257564308e+06 +1.0622907635878859e+01 1.3874462500807324e+08 1.3873078955328235e+08 1.3870730802055287e+08 1.3867602507542983e+08 1.3864358729611135e+08 1.3862072381759867e+08 1.3861237060256463e+08 1.3861029122195801e+08 1.3860578821527392e+08 1.3859659052527186e+08 1.3858308272509116e+08 1.3856475170867774e+08 1.3854061810074446e+08 1.3850969037266400e+08 1.3847092839488316e+08 1.3842305633585465e+08 1.3836454753613392e+08 1.3829363031900075e+08 1.3820823317017138e+08 1.3810590879614225e+08 1.3798378751411447e+08 1.3783843810231140e+08 1.3766508196325997e+08 1.3745549714935011e+08 1.3720094917087716e+08 1.3689705312204760e+08 1.3653859795395356e+08 1.3611749316189650e+08 1.3562387063436335e+08 1.3504642070005661e+08 1.3437236227539316e+08 1.3358736678979059e+08 1.3267552086444362e+08 1.3161935501758546e+08 1.3039997615618147e+08 1.2899731441069855e+08 1.2739056626789132e+08 1.2555885552570283e+08 1.2348219396642707e+08 1.2114274000412324e+08 1.1832020297202493e+08 1.1516815280828671e+08 1.1168738780089141e+08 1.0789261708708322e+08 1.0381511175684223e+08 9.9504163689934924e+07 9.5026612467327133e+07 9.0463864225987390e+07 8.5906370488957480e+07 8.1445566448849738e+07 7.7165329008992031e+07 7.3135997596574143e+07 6.9409628773157224e+07 6.6013616535387285e+07 6.2955143975594960e+07 6.0226369522456728e+07 5.7807250778760165e+07 5.5671887031539075e+07 5.3791409814076364e+07 5.2139097987346262e+07 5.0688388484239683e+07 4.9417655081524819e+07 4.8305791336480722e+07 4.7337415953613050e+07 4.6496747957431607e+07 4.5770481165981695e+07 4.5148295762010463e+07 4.4619118116757080e+07 4.4172263634784549e+07 4.3799965975529082e+07 4.3492455826282069e+07 4.3242741434101887e+07 4.3042706179098032e+07 4.2885430207573496e+07 4.2761461088011481e+07 4.2661558192950882e+07 4.2578920217036836e+07 4.2507040703187078e+07 4.2439450560420610e+07 4.2391697772398807e+07 4.2343505450471476e+07 4.2294342986156240e+07 4.2242854128858335e+07 4.2189739254992418e+07 4.2133465263482139e+07 4.2075952685473368e+07 4.2012030243687563e+07 4.1943619507073939e+07 4.1869461613443695e+07 4.1788573547236837e+07 4.1699760780235209e+07 4.1601677649112470e+07 4.1492385462721899e+07 4.1372147921450883e+07 4.1236362622478135e+07 4.1084123472958952e+07 4.0913221485484362e+07 4.0721279439304262e+07 4.0505845809860364e+07 4.0264461618917197e+07 3.9994402216073647e+07 3.9696076628175206e+07 3.9364205063448869e+07 3.8999953217444949e+07 3.8604163713142924e+07 3.8179940974238276e+07 3.7732566968094207e+07 3.7272095336856194e+07 3.6813481823381908e+07 3.6381269153594241e+07 3.6006207178216435e+07 3.5736571473384656e+07 3.5639570670540713e+07 3.5812899637709819e+07 3.6398704915281370e+07 3.7612393828054748e+07 3.9794958219578288e+07 4.3521046677682742e+07 7.8881658781955512e+06 +1.0627875958653117e+01 1.3841913487805548e+08 1.3840533131270158e+08 1.3838190418993863e+08 1.3835069160690501e+08 1.3831832443674916e+08 1.3829550575164777e+08 1.3828715998569861e+08 1.3828507031337130e+08 1.3828055948074391e+08 1.3827136098865038e+08 1.3825785766446424e+08 1.3823953677917239e+08 1.3821542027006701e+08 1.3818451778767848e+08 1.3814579030877700e+08 1.3809796345912120e+08 1.3803951229535756e+08 1.3796866707717443e+08 1.3788335854576731e+08 1.3778114211764508e+08 1.3765915132475954e+08 1.3751395887965170e+08 1.3734079203244266e+08 1.3713143896955115e+08 1.3687717417878023e+08 1.3657361710976553e+08 1.3621556428550845e+08 1.3579493609950137e+08 1.3530187746274665e+08 1.3472509402630317e+08 1.3405182267487870e+08 1.3326775587826258e+08 1.3235700483046457e+08 1.3130212863462950e+08 1.3008426725173295e+08 1.2868338878444085e+08 1.2707873288713562e+08 1.2524947177729347e+08 1.2317567050896591e+08 1.2083954465663806e+08 1.1802117252469806e+08 1.1487396729820094e+08 1.1139879091087283e+08 1.0761039933812156e+08 1.0354008313325948e+08 9.9237115179243684e+07 9.4768268198018700e+07 9.0214828783074573e+07 8.5667078519230813e+07 8.1216244781353712e+07 7.6945978505643710e+07 7.2926393642833948e+07 6.9209343597400218e+07 6.5822072613919787e+07 6.2771666297376893e+07 6.0050232833869867e+07 5.7637725359415062e+07 5.5508268555085726e+07 5.3633040777781799e+07 5.1985371985117309e+07 5.0538758517867982e+07 4.9271624852126077e+07 4.8162918331538327e+07 4.7197296975244440e+07 4.6359022560727194e+07 4.5634825506970271e+07 4.5014414329500966e+07 4.4486746870248683e+07 4.4041169003071852e+07 4.3669936279177666e+07 4.3363307652919509e+07 4.3114310890541218e+07 4.2914852507726997e+07 4.2758031977300324e+07 4.2634423681144111e+07 4.2534813415868439e+07 4.2452418801127076e+07 4.2380751788409851e+07 4.2313362056355596e+07 4.2265751053004704e+07 4.2217701882724561e+07 4.2168685478457794e+07 4.2117349602757089e+07 4.2064392544508740e+07 4.2008285803905770e+07 4.1950943963994153e+07 4.1887211448418759e+07 4.1819003972702675e+07 4.1745066414708123e+07 4.1664418679431304e+07 4.1575869787571818e+07 4.1478078073853768e+07 4.1369110654803567e+07 4.1249230209852494e+07 4.1113848341872029e+07 4.0962061507828146e+07 4.0791667283283882e+07 4.0600295510230571e+07 4.0385501947704159e+07 4.0144834923135385e+07 3.9875577927342519e+07 3.9578138543377042e+07 3.9247252985517554e+07 3.8884083348936401e+07 3.8489469753293537e+07 3.8066507398946285e+07 3.7620462560526922e+07 3.7161359010528594e+07 3.6704108100384474e+07 3.6273179429074213e+07 3.5899231782228984e+07 3.5630397181829393e+07 3.5533684621871889e+07 3.5706498634695478e+07 3.6290563459276125e+07 3.7500646461186603e+07 3.9676726451527774e+07 4.3391744433572032e+07 7.8600893310044175e+06 +1.0632844281427376e+01 1.3809421069431359e+08 1.3808043904842943e+08 1.3805706589408720e+08 1.3802592363647956e+08 1.3799362696303505e+08 1.3797085301243320e+08 1.3796251472153136e+08 1.3796041482211170e+08 1.3795589623433450e+08 1.3794669700997713e+08 1.3793319823826522e+08 1.3791488756835005e+08 1.3789078825056189e+08 1.3785991111663270e+08 1.3782121825146285e+08 1.3777343674072665e+08 1.3771504335960579e+08 1.3764427030840334e+08 1.3755905058738604e+08 1.3745694232833484e+08 1.3733508228351128e+08 1.3719004710565683e+08 1.3701706989982557e+08 1.3680794899768502e+08 1.3655396788595763e+08 1.3625075038186786e+08 1.3589310058339527e+08 1.3547294979064685e+08 1.3498045594940555e+08 1.3440434004584596e+08 1.3373185694497065e+08 1.3294872016745050e+08 1.3203906548750143e+08 1.3098548059502012e+08 1.2976913849970062e+08 1.2837004525961719e+08 1.2676748366455390e+08 1.2494067429902470e+08 1.2286973541002063e+08 1.2053693962185775e+08 1.1772273417070219e+08 1.1458037509969597e+08 1.1111078769930468e+08 1.0732877445026773e+08 1.0326564501510803e+08 9.8970652940914094e+07 9.4510503814670861e+07 8.9966364527379319e+07 8.5428346730114788e+07 8.0987470168902501e+07 7.6727160177707151e+07 7.2717305743646145e+07 6.9009557709929392e+07 6.5631011132341601e+07 6.2588654621268414e+07 5.9874546510125421e+07 5.7468635724722512e+07 5.5345072484004989e+07 5.3475082013492003e+07 5.1832045361028560e+07 5.0389518211401939e+07 4.9125975673054904e+07 4.8020418779834077e+07 4.7057544795309320e+07 4.6221658159758672e+07 4.5499525812764876e+07 4.4880884540845513e+07 4.4354723581703104e+07 4.3910419205394700e+07 4.3540248803504027e+07 4.3234499527194791e+07 4.2986218616500765e+07 4.2787335666776069e+07 4.2630969432144724e+07 4.2507721043240428e+07 4.2408402656027220e+07 4.2326250771075964e+07 4.2254795704313837e+07 4.2187605856634431e+07 4.2140136264739998e+07 4.2092229868929535e+07 4.2043359139800787e+07 4.1992175842452109e+07 4.1939376183906399e+07 4.1883436253113687e+07 4.1826264701905869e+07 4.1762721611963913e+07 4.1694716861380205e+07 4.1620999058283567e+07 4.1540591020498671e+07 4.1452305308349073e+07 4.1354804243958019e+07 4.1246160736076452e+07 4.1126636446894377e+07 4.0991656946613200e+07 4.0840321235923618e+07 4.0670433436035328e+07 4.0479630433145560e+07 4.0265475250596300e+07 4.0025523502313860e+07 3.9757066798540682e+07 3.9460511283522703e+07 3.9130609133873306e+07 3.8768518854513600e+07 3.8375078068377212e+07 3.7953372776854336e+07 3.7508653603058316e+07 3.7050914528717853e+07 3.6595022630550407e+07 3.6165374574311703e+07 3.5792538319100112e+07 3.5524502711777210e+07 3.5428077634837992e+07 3.5600378050415218e+07 3.6182707009008557e+07 3.7389193603422210e+07 3.9558806281976834e+07 4.3262782964844897e+07 7.8321075872206911e+06 +1.0637812604201635e+01 1.3776985285319835e+08 1.3775611278481039e+08 1.3773279295314804e+08 1.3770172096871793e+08 1.3766949470026508e+08 1.3764676542834023e+08 1.3763843463766134e+08 1.3763632457588172e+08 1.3763179830325085e+08 1.3762259841634485e+08 1.3760910427293223e+08 1.3759080390218034e+08 1.3756672186781496e+08 1.3753587018446621e+08 1.3749721204731697e+08 1.3744947600416762e+08 1.3739114055165854e+08 1.3732043983382210e+08 1.3723530911493495e+08 1.3713330924646479e+08 1.3701158020645174e+08 1.3686670259420222e+08 1.3669391537646773e+08 1.3648502704147691e+08 1.3623133009612030e+08 1.3592845273721731e+08 1.3557120664072421e+08 1.3515153402176568e+08 1.3465960587314796e+08 1.3408415852829182e+08 1.3341246484477235e+08 1.3263025940423736e+08 1.3172170256799638e+08 1.3066941061498789e+08 1.2945458959730870e+08 1.2805728351184356e+08 1.2645681825105682e+08 1.2463246271391729e+08 1.2256438826174031e+08 1.2023492445747215e+08 1.1742488742652822e+08 1.1428737568468301e+08 1.1082337759042439e+08 1.0704774179806262e+08 1.0299179672655509e+08 9.8704776249673709e+07 9.4253318545870140e+07 8.9718470646241695e+07 8.5190174274270818e+07 8.0759241738073915e+07 7.6508873134645075e+07 7.2508733000191510e+07 6.8810270211235836e+07 6.5440431197286822e+07 6.2406108064717650e+07 5.9699309682922468e+07 5.7299981022373237e+07 5.5182297982721053e+07 5.3317532701990858e+07 5.1679117311693370e+07 5.0240666776109613e+07 4.8980706768911682e+07 4.7878291918073319e+07 4.6918158661302753e+07 4.6084654011601768e+07 4.5364581348836884e+07 4.4747705668616548e+07 4.4223047529950358e+07 4.3780013525939576e+07 4.3410902837223843e+07 4.3106030741514139e+07 4.2858463907664329e+07 4.2660154954454191e+07 4.2504241872444585e+07 4.2381352476390012e+07 4.2282325216871619e+07 4.2200415431691252e+07 4.2129171756828599e+07 4.2062181268333301e+07 4.2014852715363614e+07 4.1967088717745513e+07 4.1918363279590905e+07 4.1867332158208609e+07 4.1814689484299920e+07 4.1758915923151478e+07 4.1701914212205477e+07 4.1638560048330940e+07 4.1570757488255002e+07 4.1497258860531650e+07 4.1417089888132446e+07 4.1329066661630459e+07 4.1231855480094746e+07 4.1123535028945044e+07 4.1004365957003370e+07 4.0869787763350688e+07 4.0718901986390471e+07 4.0549519275728419e+07 4.0359283543124847e+07 4.0145765057136752e+07 3.9906526698931873e+07 3.9638868176623002e+07 3.9343194200447761e+07 3.9014272865746550e+07 3.8653259097398564e+07 3.8260988028071582e+07 3.7840536484515898e+07 3.7397139479644954e+07 3.6940761282843374e+07 3.6486224812771723e+07 3.6057853995173886e+07 3.5686126200926170e+07 3.5418887479706347e+07 3.5322749127517149e+07 3.5494537300112844e+07 3.6075134970155202e+07 3.7278034640656494e+07 3.9441197061103322e+07 4.3134161560880683e+07 7.8042203506953185e+06 +1.0642780926975894e+01 1.3744606028517905e+08 1.3743235166578448e+08 1.3740908525697163e+08 1.3737808340547052e+08 1.3734592746951535e+08 1.3732324282416520e+08 1.3731491955754834e+08 1.3731279939789215e+08 1.3730826551069060e+08 1.3729906503062543e+08 1.3728557559119490e+08 1.3726728560304379e+08 1.3724322094357631e+08 1.3721239481238770e+08 1.3717377151660854e+08 1.3712608106879464e+08 1.3706780368971494e+08 1.3699717547077176e+08 1.3691213394430047e+08 1.3681024268615592e+08 1.3668864490579578e+08 1.3654392515519249e+08 1.3637132826934838e+08 1.3616267290479875e+08 1.3590926060907730e+08 1.3560672397087181e+08 1.3524988224681872e+08 1.3483068857554257e+08 1.3433932700870126e+08 1.3376454923959568e+08 1.3309364612972336e+08 1.3231237333160982e+08 1.3140491580093120e+08 1.3035391840687323e+08 1.2914062023821314e+08 1.2774510321318848e+08 1.2614673629437272e+08 1.2432483664209111e+08 1.2225962865284848e+08 1.1993349871758714e+08 1.1712763180562790e+08 1.1399496852214152e+08 1.1053656000589266e+08 1.0676730075361477e+08 1.0271853758960208e+08 9.8439484378568247e+07 9.3996711618416578e+07 8.9471146325546458e+07 8.4952560303739831e+07 8.0531558615012035e+07 7.6291116485555068e+07 7.2300674513271287e+07 6.8611480201951042e+07 6.5250331915541157e+07 6.2224025745587066e+07 5.9524521484339960e+07 5.7131760400630578e+07 5.5019944215996705e+07 5.3160392024670362e+07 5.1526587034244955e+07 5.0092203423733257e+07 4.8835817364904225e+07 4.7736536983550340e+07 4.6779137821449637e+07 4.5948009373902850e+07 4.5229991381145567e+07 4.4614876986095630e+07 4.4091717994514488e+07 4.3649951249500409e+07 4.3281897669607326e+07 4.2977900589039043e+07 4.2731046060250036e+07 4.2533309669562966e+07 4.2377848599139877e+07 4.2255317283245049e+07 4.2156580402643763e+07 4.2074912088345230e+07 4.2003879252510130e+07 4.1937087599068820e+07 4.1889899713346072e+07 4.1842277738307990e+07 4.1793697207809955e+07 4.1742817860913821e+07 4.1690331757362105e+07 4.1634724126670413e+07 4.1577891808483101e+07 4.1514726072154976e+07 4.1447125169093437e+07 4.1373845138427645e+07 4.1293914600603826e+07 4.1206153167157233e+07 4.1109231103583306e+07 4.1001232856610842e+07 4.0882418065241463e+07 4.0748240119385749e+07 4.0597803089008927e+07 4.0428924134889148e+07 4.0239254175856017e+07 4.0026370706501357e+07 3.9787843856174052e+07 3.9520981409157373e+07 3.9226186646501340e+07 3.8898243538967758e+07 3.8538303441297844e+07 3.8147199002610557e+07 3.7727997899069749e+07 3.7285919574648432e+07 3.6830898664860182e+07 3.6377714046506606e+07 3.5950617098227486e+07 3.5579994840290897e+07 3.5313550902679466e+07 3.5217698518461987e+07 3.5388975799538292e+07 3.5967846748915456e+07 3.7167168959283076e+07 3.9323898139728278e+07 4.3005879511655934e+07 7.7764273260908695e+06 +1.0647749249750152e+01 1.3712283287564954e+08 1.3710915590260807e+08 1.3708594258177578e+08 1.3705501075916228e+08 1.3702292508855754e+08 1.3700028502065286e+08 1.3699196930079785e+08 1.3698983910746914e+08 1.3698529767576331e+08 1.3697609667180142e+08 1.3696261201165926e+08 1.3694433248894751e+08 1.3692028529550338e+08 1.3688948481735259e+08 1.3685089647580299e+08 1.3680325175022441e+08 1.3674503258839300e+08 1.3667447703248903e+08 1.3658952488726979e+08 1.3648774245767155e+08 1.3636627618979195e+08 1.3622171459445009e+08 1.3604930838182127e+08 1.3584088638746166e+08 1.3558775922070459e+08 1.3528556387372389e+08 1.3492912718697900e+08 1.3451041323083249e+08 1.3401961912740320e+08 1.3344551194167678e+08 1.3277540055114111e+08 1.3199506168899716e+08 1.3108870491138880e+08 1.3003900367959072e+08 1.2882723011254804e+08 1.2743350403217962e+08 1.2583723743855454e+08 1.2401779569994484e+08 1.2195545616894551e+08 1.1963266195348686e+08 1.1683096681852210e+08 1.1370315307854068e+08 1.1025033436476395e+08 1.0648745068685240e+08 1.0244586692427959e+08 9.8174776598686829e+07 9.3740682257703096e+07 8.9224390749933422e+07 8.4715503969189644e+07 8.0304419924912125e+07 7.6073889339097187e+07 7.2093129383646145e+07 6.8413186782639071e+07 6.5060712393975168e+07 6.2042406781946525e+07 5.9350181046905436e+07 5.6963973007962137e+07 5.4858010349248759e+07 5.3003659163458839e+07 5.1374453726306319e+07 4.9944127366665415e+07 4.8691306686802752e+07 4.7595153214269638e+07 4.6640481524382822e+07 4.5811723504923575e+07 4.5095755176339209e+07 4.4482397767151698e+07 4.3960734255451307e+07 4.3520231661513373e+07 4.3153232590552226e+07 4.2850108363427125e+07 4.2603964371104188e+07 4.2406799111628570e+07 4.2251788913808949e+07 4.2129614767146878e+07 4.2031167518094055e+07 4.1949740047179006e+07 4.1878917498627990e+07 4.1812324157118767e+07 4.1765276567699917e+07 4.1717796240490995e+07 4.1669360235148661e+07 4.1618632262002133e+07 4.1566302315452203e+07 4.1510860176936798e+07 4.1454196804923430e+07 4.1391218998656668e+07 4.1323819220215090e+07 4.1250757209486045e+07 4.1171064476735190e+07 4.1083564145244300e+07 4.0986930436339557e+07 4.0879253542735994e+07 4.0760792097295381e+07 4.0627013342581920e+07 4.0477023874130607e+07 4.0308647346667342e+07 4.0119541667583205e+07 3.9907291538548425e+07 3.9669474317734644e+07 3.9403405844253659e+07 3.9109487974737152e+07 3.8782520511930063e+07 3.8423651250588693e+07 3.8033710362732902e+07 3.7615756398236983e+07 3.7174993273122586e+07 3.6721326067218669e+07 3.6269489731711842e+07 3.5843663290413603e+07 3.5474143650339305e+07 3.5208492398150161e+07 3.5112925226786107e+07 3.5283692964975484e+07 3.5860841751993448e+07 3.7056595946202867e+07 3.9206908869200654e+07 4.2877936107851163e+07 7.7487282188798571e+06 +1.0652717572524411e+01 1.3680017024853969e+08 1.3678652484774023e+08 1.3676336481107920e+08 1.3673250285677287e+08 1.3670048737098244e+08 1.3667789183454999e+08 1.3666958368288589e+08 1.3666744352026001e+08 1.3666289461380059e+08 1.3665369315477031e+08 1.3664021334880671e+08 1.3662194437402877e+08 1.3659791473717701e+08 1.3656714001248533e+08 1.3652858673725456e+08 1.3648098785997254e+08 1.3642282705809686e+08 1.3635234432843891e+08 1.3626748175192049e+08 1.3616580836730286e+08 1.3604447386280113e+08 1.3590007071402615e+08 1.3572785551293880e+08 1.3551966728541437e+08 1.3526682572294116e+08 1.3496497223309094e+08 1.3460894124291742e+08 1.3419070776259707e+08 1.3370048199615236e+08 1.3312704639285164e+08 1.3245772785669436e+08 1.3167832421163554e+08 1.3077306962069887e+08 1.2972466613809046e+08 1.2851441890657014e+08 1.2712248563386086e+08 1.2552832132429899e+08 1.2371133950072792e+08 1.2165187039238159e+08 1.1933241371347567e+08 1.1653489197292241e+08 1.1341192881731674e+08 1.0996470008358207e+08 1.0620819096533166e+08 1.0217378404842134e+08 9.7910652179473028e+07 9.3485229687695682e+07 8.8978203103100985e+07 8.4479004420833930e+07 8.0077824792590678e+07 7.5857190803589672e+07 7.1886096711830989e+07 6.8215389053863660e+07 6.4871571739669375e+07 6.1861250292153068e+07 5.9176287503369518e+07 5.6796617993406951e+07 5.4696495548241593e+07 5.2847333300718121e+07 5.1222716586068273e+07 4.9796437817825779e+07 4.8547173961039566e+07 4.7454139848705411e+07 4.6502189019466728e+07 4.5675795663576975e+07 4.4961872001649626e+07 4.4350267286261581e+07 4.3830095593507975e+07 4.3390854047963820e+07 4.3024906890631951e+07 4.2722653359035790e+07 4.2477218137738332e+07 4.2280622580724567e+07 4.2126062118665732e+07 4.2004244232075982e+07 4.1906085868654549e+07 4.1824898614817791e+07 4.1754285802926138e+07 4.1687890251407526e+07 4.1640982588156700e+07 4.1593643534755088e+07 4.1545351672791548e+07 4.1494774673605412e+07 4.1442600471525349e+07 4.1387323387832180e+07 4.1330828516311988e+07 4.1268038143707745e+07 4.1200838958611771e+07 4.1127994391908288e+07 4.1048538836116411e+07 4.0961298916817769e+07 4.0864952800974786e+07 4.0757596411647893e+07 4.0639487379444599e+07 4.0506106761431590e+07 4.0356563672711462e+07 4.0188688244799502e+07 4.0000145355237961e+07 3.9788526893606201e+07 3.9551417427916050e+07 3.9286140830632560e+07 3.8993097538675725e+07 3.8667103143593505e+07 3.8309301890159689e+07 3.7920521479830585e+07 3.7503811360250890e+07 3.7064359960578755e+07 3.6612042883032843e+07 3.6161551268889241e+07 3.5736991979341097e+07 3.5368572044719107e+07 3.5103711384200409e+07 3.5008428672144115e+07 3.5178688213259861e+07 3.5754119386683799e+07 3.6946314988976851e+07 3.9090228601496786e+07 4.2750330640707798e+07 7.7211227353430828e+06 +1.0657685895298670e+01 1.3647807250893244e+08 1.3646445822064710e+08 1.3644135184933671e+08 1.3641055953153515e+08 1.3637861412742159e+08 1.3635606307852033e+08 1.3634776251552057e+08 1.3634561244751465e+08 1.3634105613600254e+08 1.3633185429070103e+08 1.3631837941347325e+08 1.3630012106860429e+08 1.3627610907846197e+08 1.3624536020694199e+08 1.3620684210930941e+08 1.3615928920558035e+08 1.3610118690559870e+08 1.3603077716401476e+08 1.3594600434206474e+08 1.3584444021729377e+08 1.3572323772525156e+08 1.3557899331192583e+08 1.3540696945806694e+08 1.3519901539066485e+08 1.3494645990371233e+08 1.3464494883215791e+08 1.3428932419215912e+08 1.3387157194169536e+08 1.3338191537846120e+08 1.3280915234732142e+08 1.3214062779049051e+08 1.3136216063153496e+08 1.3045800964671698e+08 1.2941090548411307e+08 1.2820218630326101e+08 1.2681204767976122e+08 1.2521998758889741e+08 1.2340546765424792e+08 1.2134887090240800e+08 1.1903275354241163e+08 1.1623940677349304e+08 1.1312129519933854e+08 1.0967965657642779e+08 1.0592952095421495e+08 1.0190228827792609e+08 9.7647110388484687e+07 9.3230353130840823e+07 8.8732582567290977e+07 8.4243060807733491e+07 7.9851772342121825e+07 7.5641019986838356e+07 7.1679575598183945e+07 6.8018086116239175e+07 6.4682909059850447e+07 6.1680555394882001e+07 5.9002839986966565e+07 5.6629694506517954e+07 5.4535398979345396e+07 5.2691413619396143e+07 5.1071374812360719e+07 4.9649133990721963e+07 4.8403418414558552e+07 4.7313496125980683e+07 4.6364259556655824e+07 4.5540225109352961e+07 4.4828341124983989e+07 4.4218484818574190e+07 4.3699801289991334e+07 4.3261817695614532e+07 4.2896919860983960e+07 4.2595534870808356e+07 4.2350806658246003e+07 4.2154779377584122e+07 4.2000667516547695e+07 4.1879204982576899e+07 4.1781334760373205e+07 4.1700387098639734e+07 4.1629983473836213e+07 4.1563785191435471e+07 4.1517017084962092e+07 4.1469818932139352e+07 4.1421670832699485e+07 4.1371244408444203e+07 4.1319225539210066e+07 4.1264113073837891e+07 4.1207786258102849e+07 4.1145182823788397e+07 4.1078183701874830e+07 4.1005556004493654e+07 4.0926336998777762e+07 4.0839356803460062e+07 4.0743297520579755e+07 4.0636260788282096e+07 4.0518503238531604e+07 4.0385519705020271e+07 4.0236421816331513e+07 4.0069046163667820e+07 3.9881064576258056e+07 3.9670076112648606e+07 3.9433672531652480e+07 3.9169185717612632e+07 3.8877014692484729e+07 3.8551990793530069e+07 3.8195254725464761e+07 3.7807631725800879e+07 3.7392162163966864e+07 3.6954019023143210e+07 3.6503048505860813e+07 3.6053898059113912e+07 3.5630602573058575e+07 3.5263279437612884e+07 3.4999207279382549e+07 3.4904208274637491e+07 3.5073960961683445e+07 3.5647679060774215e+07 3.6836325475625135e+07 3.8973856689157680e+07 4.2623062402158506e+07 7.6936105825679703e+06 +1.0662654218072928e+01 1.3615653904297569e+08 1.3614295675877032e+08 1.3611990345737132e+08 1.3608918061128247e+08 1.3605730516506693e+08 1.3603479856100476e+08 1.3602650560646844e+08 1.3602434569689694e+08 1.3601978204966119e+08 1.3601057988661942e+08 1.3599711001227275e+08 1.3597886237903672e+08 1.3595486812505892e+08 1.3592414520586866e+08 1.3588566239652839e+08 1.3583815559082174e+08 1.3578011193341622e+08 1.3570977534057683e+08 1.3562509245782608e+08 1.3552363780619264e+08 1.3540256757349846e+08 1.3525848218236184e+08 1.3508665000864264e+08 1.3487893049134511e+08 1.3462666154727060e+08 1.3432549345038953e+08 1.3397027580857433e+08 1.3355300553569694e+08 1.3306391903398962e+08 1.3249182955591865e+08 1.3182410009272768e+08 1.3104657067685446e+08 1.3014352470345540e+08 1.2909772141547284e+08 1.2789053198188274e+08 1.2650218982801044e+08 1.2491223586624932e+08 1.2310017976713401e+08 1.2104645727492596e+08 1.1873368098243453e+08 1.1594451072218221e+08 1.1283125168277057e+08 1.0939520325472742e+08 1.0565144001661456e+08 1.0163137892676830e+08 9.7384150491669267e+07 9.2976051808171526e+07 8.8487528323677406e+07 8.4007672278132185e+07 7.9626261697000965e+07 7.5425375996517316e+07 7.1473565142980099e+07 6.7821277070473731e+07 6.4494723461965553e+07 6.1500321209067062e+07 5.8829837631260417e+07 5.6463201697118647e+07 5.4374719809367560e+07 5.2535899302963838e+07 5.0920427604502350e+07 4.9502215099445999e+07 4.8260039274934493e+07 4.7173221285840027e+07 4.6226692386520833e+07 4.5405011102315068e+07 4.4695161814824603e+07 4.4087049639773011e+07 4.3569850626920253e+07 4.3133121891703673e+07 4.2769270793483309e+07 4.2468752194355629e+07 4.2224729231412344e+07 4.2029268803497069e+07 4.1875604410994038e+07 4.1754496323858351e+07 4.1656913499924004e+07 4.1576204806486487e+07 4.1506009820480064e+07 4.1440008287358083e+07 4.1393379369084112e+07 4.1346321744429231e+07 4.1298317027371339e+07 4.1248040779823922e+07 4.1196176832666114e+07 4.1141228550103180e+07 4.1085069346404836e+07 4.1022652355986789e+07 4.0955852768192679e+07 4.0883441366647057e+07 4.0804458285523087e+07 4.0717737127373956e+07 4.0621963918933757e+07 4.0515245998171113e+07 4.0397839002100088e+07 4.0265251503075674e+07 4.0116597637155943e+07 3.9949720438233182e+07 3.9762298668734394e+07 3.9551938537291177e+07 3.9316238974465854e+07 3.9052539855078101e+07 3.8761238790923066e+07 3.8437182821865365e+07 3.8081509122612320e+07 3.7695040473157190e+07 3.7280808188750267e+07 3.6843969847456671e+07 3.6394342329846747e+07 3.5946529503990225e+07 3.5524494480192065e+07 3.5158265243742913e+07 3.4894979502826363e+07 3.4800263454992369e+07 3.4969510628120959e+07 3.5541520182630993e+07 3.6726626794790901e+07 3.8857792485338517e+07 4.2496130684769660e+07 7.6661914684468796e+06 +1.0667622540847187e+01 1.3583557043809918e+08 1.3582201955868503e+08 1.3579901934344956e+08 1.3576836590850985e+08 1.3573656028794894e+08 1.3571409808618623e+08 1.3570581275937825e+08 1.3570364307197541e+08 1.3569907215831953e+08 1.3568986974575496e+08 1.3567640494808599e+08 1.3565816810769132e+08 1.3563419167901456e+08 1.3560349481056961e+08 1.3556504739952859e+08 1.3551758681539369e+08 1.3545960194034183e+08 1.3538933865577093e+08 1.3530474589556289e+08 1.3520340092836961e+08 1.3508246320009926e+08 1.3493853711565444e+08 1.3476689695229292e+08 1.3455941237180147e+08 1.3430743043402222e+08 1.3400660586342460e+08 1.3365179586220655e+08 1.3323500830777498e+08 1.3274649271853822e+08 1.3217507776553255e+08 1.3150814449991140e+08 1.3073155407190244e+08 1.2982961450148076e+08 1.2878511362645291e+08 1.2757945561834379e+08 1.2619291173323330e+08 1.2460506578687590e+08 1.2279547544281138e+08 1.2074462908282571e+08 1.1843519557244892e+08 1.1565020331779526e+08 1.1254179772302090e+08 1.0911133952762225e+08 1.0537394751318680e+08 1.0136105530677362e+08 9.7121771753251791e+07 9.2722324939203590e+07 8.8243039552392736e+07 8.3772837979517356e+07 7.9401291980055824e+07 7.5210257939688817e+07 7.1268064446306154e+07 6.7624961017166317e+07 6.4307014053621545e+07 6.1320546853996374e+07 5.8657279570264190e+07 5.6297138715691246e+07 5.4214457205577463e+07 5.2380789535435677e+07 5.0769874162368864e+07 4.9355680358666614e+07 4.8117035770276792e+07 4.7033314568603024e+07 4.6089486760195069e+07 4.5270152903263956e+07 4.4562333340265654e+07 4.3955961026305728e+07 4.3440242886888824e+07 4.3004765924223796e+07 4.2641958980542243e+07 4.2342304625947312e+07 4.2098985156602249e+07 4.1904090160579361e+07 4.1750872106015697e+07 4.1630117561834440e+07 4.1532821394655295e+07 4.1452351047027208e+07 4.1382364152562276e+07 4.1316558850045718e+07 4.1270068752102874e+07 4.1223151283947170e+07 4.1175289569954313e+07 4.1125163101767339e+07 4.1073453666820206e+07 4.1018669132394604e+07 4.0962677097836435e+07 4.0900446058047608e+07 4.0833845476423040e+07 4.0761649798452154e+07 4.0682902017648846e+07 4.0596439211312406e+07 4.0500951320449732e+07 4.0394551367539853e+07 4.0277493998255037e+07 4.0145301485917933e+07 3.9997090468052804e+07 3.9830710404057413e+07 3.9643846971371450e+07 3.9434113509715699e+07 3.9199116102452271e+07 3.8936202593516059e+07 3.8645769189270243e+07 3.8322678589341216e+07 3.7968064448231474e+07 3.7582747094959274e+07 3.7169748814566612e+07 3.6734211820768125e+07 3.6285923749714673e+07 3.5839445005638681e+07 3.5418667109904297e+07 3.5053528878369831e+07 3.4791027474161811e+07 3.4696593634440035e+07 3.4865336630987376e+07 3.5435642161114477e+07 3.6617218335647166e+07 3.8742035343774788e+07 4.2369534781770572e+07 7.6388651016754573e+06 +1.0672590863621446e+01 1.3551516654095334e+08 1.3550164619752771e+08 1.3547869924468184e+08 1.3544811522084919e+08 1.3541637929688528e+08 1.3539396145401326e+08 1.3538568377432847e+08 1.3538350437250230e+08 1.3537892626121071e+08 1.3536972366736028e+08 1.3535626401979807e+08 1.3533803805302691e+08 1.3531407953816974e+08 1.3528340881849831e+08 1.3524499691499817e+08 1.3519758267507508e+08 1.3513965672127748e+08 1.3506946690321484e+08 1.3498496444753844e+08 1.3488372937464786e+08 1.3476292439381436e+08 1.3461915789805740e+08 1.3444771007261771e+08 1.3424046081244239e+08 1.3398876634020676e+08 1.3368828584288923e+08 1.3333388411920434e+08 1.3291758001787840e+08 1.3242963618405981e+08 1.3185889671925129e+08 1.3119276074476056e+08 1.3041711053751153e+08 1.2951627874751739e+08 1.2847308180795398e+08 1.2726895688477713e+08 1.2588421304648602e+08 1.2429847697797489e+08 1.2249135428122775e+08 1.2044338589579552e+08 1.1813729684848079e+08 1.1535648405647044e+08 1.1225293277285030e+08 1.0882806480165467e+08 1.0509704280246478e+08 1.0109131672781926e+08 9.6859973435622990e+07 9.2469171742103130e+07 8.7999115432278365e+07 8.3538557058301896e+07 7.9176862313748702e+07 7.4995664923287004e+07 7.1063072608123600e+07 6.7429137057148933e+07 6.4119779942662001e+07 6.1141231449160039e+07 5.8485164938347220e+07 5.6131504712983370e+07 5.4054610335915245e+07 5.2226083501447327e+07 5.0619713686440438e+07 4.9209528983676121e+07 4.7974407129456691e+07 4.6893775215234153e+07 4.5952641929525137e+07 4.5135649773588829e+07 4.4429854971091151e+07 4.3825218255174264e+07 4.3310977353153937e+07 4.2876749081705011e+07 4.2514983715206183e+07 4.2216191462447554e+07 4.1973573733899280e+07 4.1779242751401506e+07 4.1626469906476140e+07 4.1506068002939299e+07 4.1409057752515167e+07 4.1328825129484110e+07 4.1259045780438118e+07 4.1193436190833904e+07 4.1147084546198003e+07 4.1100306863673449e+07 4.1052587774213836e+07 4.1002610688900374e+07 4.0951055357057117e+07 4.0896434137112431e+07 4.0840608829769306e+07 4.0778563248291329e+07 4.0712161146042749e+07 4.0640180620529354e+07 4.0561667517198972e+07 4.0475462378754236e+07 4.0380259050154231e+07 4.0274176223144926e+07 4.0157467555744320e+07 4.0025668984502554e+07 3.9877899642354570e+07 3.9712015397310011e+07 3.9525708823466279e+07 3.9316600372731037e+07 3.9082303262340099e+07 3.8820173284091301e+07 3.8530605243558586e+07 3.8208477457296900e+07 3.7854920069516726e+07 3.7470750964856297e+07 3.7058983421938404e+07 3.6624744330840774e+07 3.6177792160699606e+07 3.5732643966833048e+07 3.5313119871967711e+07 3.4949069757317461e+07 3.4687350613574542e+07 3.4593198234699957e+07 3.4761438389231160e+07 3.5330044405704975e+07 3.6508099487924792e+07 3.8626584618772954e+07 4.2243273987038553e+07 7.6116311917509763e+06 +1.0677559186395705e+01 1.3519532624739155e+08 1.3518183720775238e+08 1.3515894298511082e+08 1.3512842833848926e+08 1.3509676198889190e+08 1.3507438846023124e+08 1.3506611844755220e+08 1.3506392939431900e+08 1.3505934415411657e+08 1.3505014144690385e+08 1.3503668702248728e+08 1.3501847200972703e+08 1.3499453149684757e+08 1.3496388702321082e+08 1.3492551073577628e+08 1.3487814296198511e+08 1.3482027606724554e+08 1.3475015987304011e+08 1.3466574790193176e+08 1.3456462293171805e+08 1.3444395093956712e+08 1.3430034431229511e+08 1.3412908914952193e+08 1.3392207558975177e+08 1.3367066903880730e+08 1.3337053315686439e+08 1.3301654034208554e+08 1.3260072042183836e+08 1.3211334917905736e+08 1.3154328615656400e+08 1.3087794855643237e+08 1.3010323979080836e+08 1.2920351714489567e+08 1.2816162564709611e+08 1.2695903545024897e+08 1.2557609341574363e+08 1.2399246906340414e+08 1.2218781587916514e+08 1.2014272728036594e+08 1.1783998434346452e+08 1.1506335243162346e+08 1.1196465628247899e+08 1.0854537848100705e+08 1.0482072524078868e+08 1.0082216249790309e+08 9.6598754799605072e+07 9.2216591433606893e+07 8.7755755141190708e+07 8.3304828660187557e+07 7.8952971819719613e+07 7.4781596053842008e+07 7.0858588728273854e+07 6.7233804291204795e+07 6.3933020237058468e+07 6.0962374114533320e+07 5.8313492870303929e+07 5.5966298840409741e+07 5.3895178368700646e+07 5.2071780386026576e+07 5.0469945377799451e+07 4.9063760190327331e+07 4.7832152581787765e+07 4.6754602467348643e+07 4.5816157146927163e+07 4.5001500975267343e+07 4.4297725977731176e+07 4.3694820604016170e+07 4.3182053309595786e+07 4.2749070653451286e+07 4.2388344291281365e+07 4.2090412001430087e+07 4.1848494263974339e+07 4.1654725879264638e+07 4.1502397117709614e+07 4.1382346954334110e+07 4.1285621882125594e+07 4.1205626363664567e+07 4.1136054015067436e+07 4.1070639621852741e+07 4.1024426064224638e+07 4.0977787797228493e+07 4.0930210954559587e+07 4.0880382856471330e+07 4.0828981219579652e+07 4.0774522881278716e+07 4.0718863860156640e+07 4.0657003245795801e+07 4.0590799097160794e+07 4.0519033154237971e+07 4.0440754106756017e+07 4.0354805953735255e+07 4.0259886433691591e+07 4.0154119892406754e+07 4.0037759003947474e+07 3.9906353330395676e+07 3.9759024494164579e+07 3.9593634754842244e+07 3.9407883564941555e+07 3.9199398469740152e+07 3.8965799801427163e+07 3.8704451278440677e+07 3.8415746310272716e+07 3.8094578787603289e+07 3.7742075354341835e+07 3.7359051457108960e+07 3.6948511392036051e+07 3.6515566766079143e+07 3.6069946958690450e+07 3.5626125790824480e+07 3.5207852176603116e+07 3.4844887296929151e+07 3.4583948341782086e+07 3.4490076678095706e+07 3.4657815322351411e+07 3.5224726326368108e+07 3.6399269641960733e+07 3.8511439665330999e+07 4.2117347595097385e+07 7.5844894489706345e+06 +1.0682527509169963e+01 1.3487604917834142e+08 1.3486259235296777e+08 1.3483975038263297e+08 1.3480930505162475e+08 1.3477770815717414e+08 1.3475537889612299e+08 1.3474711657122540e+08 1.3474491792945415e+08 1.3474032562880272e+08 1.3473112287585908e+08 1.3471767374747843e+08 1.3469946976841542e+08 1.3467554734512749e+08 1.3464492921429062e+08 1.3460658865081117e+08 1.3455926746425098e+08 1.3450145976545072e+08 1.3443141735092109e+08 1.3434709604371297e+08 1.3424608138270634e+08 1.3412554261836225e+08 1.3398209613716789e+08 1.3381103395909004e+08 1.3360425647680210e+08 1.3335313829853508e+08 1.3305334756953099e+08 1.3269976428948534e+08 1.3228442927191086e+08 1.3179763144808029e+08 1.3122824581325828e+08 1.3056370766054459e+08 1.2978994154528826e+08 1.2889132939328799e+08 1.2785074482769501e+08 1.2664969097998102e+08 1.2526855248525557e+08 1.2368704166372558e+08 1.2188485983044091e+08 1.1984265279999296e+08 1.1754325758749463e+08 1.1477080793363918e+08 1.1167696769938612e+08 1.0826327996740587e+08 1.0454499418222554e+08 1.0055359192306021e+08 9.6338115104313299e+07 9.1964583229103118e+07 8.7512957855733529e+07 8.3071651930150464e+07 7.8729619619184986e+07 7.4568050437491909e+07 7.0654611906502411e+07 6.7038961820127279e+07 6.3746734045067728e+07 6.0783973970332287e+07 5.8142262501343459e+07 5.5801520249713823e+07 5.3736160472818673e+07 5.1917879374936596e+07 5.0320568438065022e+07 4.8918373195093796e+07 4.7690271357329987e+07 4.6615795567128256e+07 4.5680031665472478e+07 4.4867705770969547e+07 4.4165945631201066e+07 4.3564767351117767e+07 4.3053470040816858e+07 4.2621729929326303e+07 4.2262040003151000e+07 4.1964965541059196e+07 4.1723746048187062e+07 4.1530538848156251e+07 4.1378653045820139e+07 4.1258953723844290e+07 4.1162513092739567e+07 4.1082754060177960e+07 4.1013388168156125e+07 4.0948168455815129e+07 4.0902092619670488e+07 4.0855593398898549e+07 4.0808158426124357e+07 4.0758478920411572e+07 4.0707230571128368e+07 4.0652934682581365e+07 4.0597441507621214e+07 4.0535765370141834e+07 4.0469758650531255e+07 4.0398206721539110e+07 4.0320161109634191e+07 4.0234469260965206e+07 4.0139832797367044e+07 4.0034381703425281e+07 3.9918367672851048e+07 3.9787353855806299e+07 3.9640464358121328e+07 3.9475567814081773e+07 3.9290370536347546e+07 3.9082507144774482e+07 3.8849605067692913e+07 3.8589035928926028e+07 3.8301191746578924e+07 3.7980981942835614e+07 3.7629529671130776e+07 3.7247647946526311e+07 3.6838332106515609e+07 3.6406678515407585e+07 3.5962387540058009e+07 3.5519889881413035e+07 3.5102863434660040e+07 3.4740980914110437e+07 3.4480820080052011e+07 3.4387228387447730e+07 3.4554466850353159e+07 3.5119687333653435e+07 3.6290728188654698e+07 3.8396599838943176e+07 4.1991754901173405e+07 7.5574395844299458e+06 +1.0687495831944222e+01 1.3455733635582799e+08 1.3454391042602456e+08 1.3452112133444229e+08 1.3449074514837047e+08 1.3445921759036165e+08 1.3443693254984412e+08 1.3442867793397942e+08 1.3442646976606727e+08 1.3442187047324044e+08 1.3441266774207866e+08 1.3439922398203728e+08 1.3438103111624250e+08 1.3435712686969489e+08 1.3432653517789540e+08 1.3428823044546977e+08 1.3424095596620658e+08 1.3418320759912138e+08 1.3411323911917438e+08 1.3402900865352571e+08 1.3392810450668626e+08 1.3380769920754606e+08 1.3366441314749862e+08 1.3349354427352734e+08 1.3328700324252628e+08 1.3303617388473889e+08 1.3273672884146240e+08 1.3238355571635470e+08 1.3196870631652391e+08 1.3148248273199970e+08 1.3091377542142926e+08 1.3025003777878730e+08 1.2947721551097739e+08 1.2857971518882650e+08 1.2754043902988510e+08 1.2634092313591079e+08 1.2496158989614323e+08 1.2338219439625800e+08 1.2158248572535251e+08 1.1954316201510429e+08 1.1724711610760002e+08 1.1447885005015320e+08 1.1138986646826994e+08 1.0798176866017869e+08 1.0426984897871023e+08 1.0028560430726448e+08 9.6078053607199922e+07 9.1713146342522025e+07 8.7270722751617387e+07 8.2839026012179390e+07 7.8506804832754970e+07 7.4355027180177361e+07 7.0451141242483258e+07 6.6844608744985685e+07 6.3560920475179799e+07 6.0606030137001105e+07 5.7971472967069805e+07 5.5637168093182459e+07 5.3577555817688540e+07 5.1764379654395632e+07 5.0171582069500573e+07 4.8773367215102866e+07 4.7548762686641596e+07 4.6477353757418372e+07 4.5544264738830157e+07 4.4734263423993438e+07 4.4034513203146525e+07 4.3435057775497444e+07 4.2925226831967846e+07 4.2494726199842677e+07 4.2136070145863682e+07 4.1839851380204789e+07 4.1599328388518259e+07 4.1406680962626778e+07 4.1255236997496419e+07 4.1135887619879678e+07 4.1039730694261186e+07 4.0960207530145206e+07 4.0891047551946953e+07 4.0826022006125450e+07 4.0780083526702598e+07 4.0733722983626321e+07 4.0686429504574724e+07 4.0636898197214961e+07 4.0585802729085423e+07 4.0531668859381296e+07 4.0476341091376454e+07 4.0414848941648573e+07 4.0349039127539635e+07 4.0277700644977763e+07 4.0199887849672325e+07 4.0114451625783086e+07 4.0020097468088754e+07 3.9914960984876685e+07 3.9799292893103600e+07 3.9668669893548347e+07 3.9522218569549963e+07 3.9357813913092896e+07 3.9173169078873895e+07 3.8965925742509194e+07 3.8733718409698106e+07 3.8473926588436149e+07 3.8186940910203315e+07 3.7867686286070086e+07 3.7517282388890311e+07 3.7136539808554627e+07 3.6728444947678983e+07 3.6298078968385510e+07 3.5855113301768191e+07 3.5413935643015906e+07 3.4998153057511374e+07 3.4637350026299134e+07 3.4377965250232011e+07 3.4284652786167346e+07 3.4451392393835306e+07 3.5014926838671640e+07 3.6182474519424200e+07 3.8282064495819539e+07 4.1866495201107383e+07 7.5304813100210205e+06 +1.0692464154718481e+01 1.3423918667933843e+08 1.3422579219315708e+08 1.3420305556920786e+08 1.3417274840676203e+08 1.3414129007234171e+08 1.3411904920507191e+08 1.3411080232030641e+08 1.3410858468864568e+08 1.3410397847149146e+08 1.3409477582931057e+08 1.3408133750979900e+08 1.3406315583625671e+08 1.3403926985310510e+08 1.3400870469586965e+08 1.3397043590084204e+08 1.3392320824851412e+08 1.3386551934799722e+08 1.3379562495628728e+08 1.3371148550843802e+08 1.3361069207910919e+08 1.3349042048045787e+08 1.3334729511458476e+08 1.3317661986145294e+08 1.3297031565224624e+08 1.3271977555855234e+08 1.3242067672921319e+08 1.3206791437389949e+08 1.3165355130044389e+08 1.3116790276825133e+08 1.3059987470957920e+08 1.2993693862944706e+08 1.2916506139417912e+08 1.2826867422403590e+08 1.2723070793042213e+08 1.2603273157652397e+08 1.2465520528609324e+08 1.2307792687491019e+08 1.2128069315126519e+08 1.1924425448303372e+08 1.1695155942788944e+08 1.1418747826603736e+08 1.1110335203173880e+08 1.0770084395615657e+08 1.0399528898007430e+08 1.0001819895279244e+08 9.5818569564085558e+07 9.1462279986479476e+07 8.7029049003197417e+07 8.2606950049554080e+07 7.8284526580552086e+07 7.4142525387517512e+07 7.0248175835736781e+07 6.6650744166801266e+07 6.3375578636028998e+07 6.0428541735567734e+07 5.7801123403579734e+07 5.5473241523618132e+07 5.3419363573259518e+07 5.1611280411217801e+07 5.0022985474898309e+07 4.8628741467989676e+07 4.7407625801040843e+07 4.6339276281674534e+07 4.5408855621438578e+07 4.4601173198275492e+07 4.3903427965988271e+07 4.3305691156715028e+07 4.2797322968938164e+07 4.2368058756201774e+07 4.2010434015109234e+07 4.1715068818360195e+07 4.1475240587630324e+07 4.1283151527983665e+07 4.1132148280125692e+07 4.1013147951582387e+07 4.0917273997254774e+07 4.0837986085373640e+07 4.0769031479422830e+07 4.0704199586790673e+07 4.0658398100080907e+07 4.0612175866952382e+07 4.0565023506294653e+07 4.0515640004143171e+07 4.0464697011551350e+07 4.0410724730585985e+07 4.0355561931347117e+07 4.0294253281212680e+07 4.0228639850210138e+07 4.0157514247819468e+07 4.0079933651449539e+07 3.9994752374151908e+07 3.9900679773427285e+07 3.9795857066102810e+07 3.9680533995996125e+07 3.9550300777133793e+07 3.9404286464345671e+07 3.9240372390567504e+07 3.9056278534269497e+07 3.8849653608236790e+07 3.8618139176602907e+07 3.8359122610569827e+07 3.8072993159533359e+07 3.7754691181091242e+07 3.7405332877215169e+07 3.7025726419193566e+07 3.6618849298394486e+07 3.6189767515074581e+07 3.5748123641374893e+07 3.5308262480590150e+07 3.4893720457117751e+07 3.4533994051521271e+07 3.4275383274648584e+07 3.4182349298184894e+07 3.4348591373933055e+07 3.4910444253078766e+07 3.6074508026393004e+07 3.8167832992702290e+07 4.1741567791423649e+07 7.5036143384309337e+06 +1.0697432477492740e+01 1.3392160081653666e+08 1.3390823706781550e+08 1.3388555285313886e+08 1.3385531459623660e+08 1.3382392538385789e+08 1.3380172864218654e+08 1.3379348951140814e+08 1.3379126247773415e+08 1.3378664940386055e+08 1.3377744691775851e+08 1.3376401411045514e+08 1.3374584370792688e+08 1.3372197607417531e+08 1.3369143754647434e+08 1.3365320479469632e+08 1.3360602408772722e+08 1.3354839478772996e+08 1.3347857463669185e+08 1.3339452638168681e+08 1.3329384387161605e+08 1.3317370620695528e+08 1.3303074180586460e+08 1.3286026048759326e+08 1.3265419346745174e+08 1.3240394307780877e+08 1.3210519098591593e+08 1.3175284000974256e+08 1.3133896396488643e+08 1.3085389129019494e+08 1.3028654340254149e+08 1.2962440992716241e+08 1.2885347889758816e+08 1.2795820618816584e+08 1.2692155120263600e+08 1.2572511595704405e+08 1.2434939828940459e+08 1.2277423871046272e+08 1.2097948169214840e+08 1.1894592975803904e+08 1.1665658706960844e+08 1.1389669206347616e+08 1.1081742382924514e+08 1.0742050525007847e+08 1.0372131353388289e+08 9.9751375159945235e+07 9.5559662229131326e+07 9.1211983372330859e+07 8.6787935784104764e+07 8.2375423184800997e+07 7.8062783982135370e+07 7.3930544164791137e+07 7.0045714785825267e+07 6.6457367186717503e+07 6.3190707636640020e+07 6.0251507887212150e+07 5.7631212947343647e+07 5.5309739694266200e+07 5.3261582910047494e+07 5.1458580832837529e+07 4.9874777857720882e+07 4.8484495172081202e+07 4.7266859932366513e+07 4.6201562384061605e+07 4.5273803568170734e+07 4.4468434358382754e+07 4.3772689192718357e+07 4.3176666775063939e+07 4.2669757738234259e+07 4.2241726890332885e+07 4.1885130907250874e+07 4.1590617155644752e+07 4.1351481948844619e+07 4.1159949850079030e+07 4.1009386201775216e+07 4.0890734028660111e+07 4.0795142312986590e+07 4.0716089038418539e+07 4.0647339264179304e+07 4.0582700512497894e+07 4.0537035655332103e+07 4.0490951365119077e+07 4.0443939748314142e+07 4.0394703659024343e+07 4.0343912737227172e+07 4.0290101615859799e+07 4.0235103348084286e+07 4.0173977710472338e+07 4.0108560141258508e+07 4.0037646853932746e+07 3.9960297840162590e+07 3.9875370832732916e+07 3.9781579041597500e+07 3.9677069277083479e+07 3.9562090313401572e+07 3.9432245840626083e+07 3.9286667379096776e+07 3.9123242585823104e+07 3.8939698244999923e+07 3.8733690087786406e+07 3.8502866718211740e+07 3.8244623349486306e+07 3.7959347853545487e+07 3.7641995992172293e+07 3.7293680506361194e+07 3.6915207155065872e+07 3.6509544542116389e+07 3.6081743546187565e+07 3.5641417957018077e+07 3.5202869799676068e+07 3.4789565045963183e+07 3.4430912408305399e+07 3.4173073576221228e+07 3.4080317347958811e+07 3.4246063212329768e+07 3.4806238989116848e+07 3.5966828102120683e+07 3.8053904686981723e+07 4.1616971969350830e+07 7.4768383831400620e+06 +1.0702400800266998e+01 1.3360457696370126e+08 1.3359124463778250e+08 1.3356861304118405e+08 1.3353844349043314e+08 1.3350712330180110e+08 1.3348497063787912e+08 1.3347673928452598e+08 1.3347450291021702e+08 1.3346988304707091e+08 1.3346068078389047e+08 1.3344725356009392e+08 1.3342909450672667e+08 1.3340524530805233e+08 1.3337473350430386e+08 1.3333653690083633e+08 1.3328940325697587e+08 1.3323183369051574e+08 1.3316208793146147e+08 1.3307813104291962e+08 1.3297755965207575e+08 1.3285755615274853e+08 1.3271475298511837e+08 1.3254446591300841e+08 1.3233863644601645e+08 1.3208867619648209e+08 1.3179027136087102e+08 1.3143833236763617e+08 1.3102494404713248e+08 1.3054044802793039e+08 1.2997378122148474e+08 1.2931245138293235e+08 1.2854246772057787e+08 1.2764831076664595e+08 1.2661296851628640e+08 1.2541807592917354e+08 1.2404416853710903e+08 1.2247112951046212e+08 1.2067885092911558e+08 1.1864818739148758e+08 1.1636219855103940e+08 1.1360649092198399e+08 1.1053208129817933e+08 1.0714075193391803e+08 1.0344792198571146e+08 9.9485132227030963e+07 9.5301330854993388e+07 9.0962255709915295e+07 8.6547382266754776e+07 8.2144444559668496e+07 7.7841576156631351e+07 7.3719082617091641e+07 6.9843757192084447e+07 6.6264476905984335e+07 6.3006306586125284e+07 6.0074927713528372e+07 5.7461740735286362e+07 5.5146661758958340e+07 5.3104212999141306e+07 5.1306280107201070e+07 4.9726958421985269e+07 4.8340627546334334e+07 4.7126464313156612e+07 4.6064211309281506e+07 4.5139107834767081e+07 4.4336046169615947e+07 4.3642296156932063e+07 4.3047983911467031e+07 4.2542530427016489e+07 4.2115729894667193e+07 4.1760160119332626e+07 4.1466495692969896e+07 4.1228051776165709e+07 4.1037075235568047e+07 4.0886950071092375e+07 4.0768645161580630e+07 4.0673334953344837e+07 4.0594515702362336e+07 4.0525970220499329e+07 4.0461524098570794e+07 4.0415995508505657e+07 4.0370048795040101e+07 4.0323177548342489e+07 4.0274088480405755e+07 4.0223449225489236e+07 4.0169798835479759e+07 4.0114964662791543e+07 4.0054021551586211e+07 3.9988799324004762e+07 3.9918097787896276e+07 3.9840979741628550e+07 3.9756306328769743e+07 3.9662794601453051e+07 3.9558596948426671e+07 3.9443961177935250e+07 3.9314504418796346e+07 3.9169360651017234e+07 3.9006423838828303e+07 3.8823427554092549e+07 3.8618034527785063e+07 3.8387900384964049e+07 3.8130428159932211e+07 3.7846004351860397e+07 3.7529600084342048e+07 3.7182324647121377e+07 3.6804981393374786e+07 3.6400530062930159e+07 3.5974006453008145e+07 3.5534995647379115e+07 3.5097757006371833e+07 3.4685686237149306e+07 3.4328104515827633e+07 3.4071035578432731e+07 3.3978556360559233e+07 3.4143807331274547e+07 3.4702310459568478e+07 3.5859434139848724e+07 3.7940278936639898e+07 4.1492707032828800e+07 7.4501531584203979e+06 +1.0707369123041257e+01 1.3328811617541045e+08 1.3327481482100159e+08 1.3325223591663872e+08 1.3322213487695634e+08 1.3319088360102275e+08 1.3316877496552195e+08 1.3316055141269255e+08 1.3315830575918108e+08 1.3315367917377898e+08 1.3314447720013331e+08 1.3313105563105732e+08 1.3311290800443299e+08 1.3308907732616113e+08 1.3305859234007728e+08 1.3302043198942249e+08 1.3297334552559228e+08 1.3291583582435234e+08 1.3284616460763644e+08 1.3276229925759409e+08 1.3266183918457240e+08 1.3254197008050451e+08 1.3239932841224749e+08 1.3222923589492738e+08 1.3202364434210837e+08 1.3177397466471417e+08 1.3147591759972374e+08 1.3112439118787402e+08 1.3071149128121787e+08 1.3022757270787922e+08 1.2966158788416672e+08 1.2900106270436673e+08 1.2823202755883503e+08 1.2733898764162979e+08 1.2630495953782266e+08 1.2511161114118735e+08 1.2373951565696420e+08 1.2216859887920980e+08 1.2037880044010258e+08 1.1835102693159744e+08 1.1606839338771889e+08 1.1331687431812584e+08 1.1024732387298898e+08 1.0686158339779538e+08 1.0317511367894293e+08 9.9219469450690344e+07 9.5043574692638874e+07 9.0713096207976729e+07 8.6307387622428253e+07 8.1914013315069899e+07 7.7620902222595423e+07 7.3508139849243939e+07 6.9642302154007450e+07 6.6072072425914399e+07 6.2822374593944177e+07 5.9898800336567990e+07 5.7292705904816642e+07 5.4984006871963590e+07 5.2947253012105115e+07 5.1154377422884949e+07 4.9579526372353904e+07 4.8197137810311288e+07 4.6986438176549673e+07 4.5927222302755766e+07 4.5004767677493080e+07 4.4204007897836253e+07 4.3512248132999718e+07 4.2919641847520664e+07 4.2415640323143028e+07 4.1990067062462881e+07 4.1635520949059151e+07 4.1342703731788628e+07 4.1104949374248438e+07 4.0914526991684772e+07 4.0764839197472736e+07 4.0646880661510609e+07 4.0551851230852455e+07 4.0473265391072504e+07 4.0404923663352959e+07 4.0340669661071137e+07 4.0295276976392284e+07 4.0249467474258192e+07 4.0202736224677473e+07 4.0153793787415169e+07 4.0103305796375021e+07 4.0049815710407630e+07 3.9995145197313949e+07 3.9934384127535634e+07 3.9869356722490020e+07 3.9798866374862999e+07 3.9721978682379112e+07 3.9637558190220438e+07 3.9544325782513253e+07 3.9440439411412150e+07 3.9326145922759674e+07 3.9197075847028576e+07 3.9052365617944345e+07 3.8889915490196571e+07 3.8707465805296801e+07 3.8502686275361091e+07 3.8273239527953334e+07 3.8016536397375472e+07 3.7732962014647216e+07 3.7417502823092073e+07 3.7071264670973897e+07 3.6695048511946090e+07 3.6291805245471448e+07 3.5866555627381146e+07 3.5428856111776106e+07 3.4992923507375002e+07 3.4582083444300987e+07 3.4225569793764345e+07 3.3969268705330715e+07 3.3877065761588290e+07 3.4041823153589115e+07 3.4598658077808470e+07 3.5752325533420190e+07 3.7826955100323059e+07 4.1368772280363470e+07 7.4235583793339171e+06 +1.0712337445815516e+01 1.3297221858485074e+08 1.3295894754430066e+08 1.3293642109289834e+08 1.3290638854882571e+08 1.3287520605341229e+08 1.3285314139485098e+08 1.3284492566600618e+08 1.3284267079410070e+08 1.3283803755316630e+08 1.3282883593550804e+08 1.3281542009185709e+08 1.3279728396937302e+08 1.3277347189608200e+08 1.3274301382097453e+08 1.3270488982674195e+08 1.3265785065894003e+08 1.3260040095399417e+08 1.3253080442863514e+08 1.3244703078799106e+08 1.3234668222964066e+08 1.3222694774839495e+08 1.3208446784355664e+08 1.3191457018721031e+08 1.3170921690633416e+08 1.3145983822924498e+08 1.3116212944446161e+08 1.3081101620693305e+08 1.3039860539710881e+08 1.2991526505269168e+08 1.2934996310454573e+08 1.2869024359546266e+08 1.2792215810463195e+08 1.2703023649184817e+08 1.2599752393020144e+08 1.2480572123819254e+08 1.2343543927348103e+08 1.2186664641788016e+08 1.2007932979972634e+08 1.1805444792360501e+08 1.1577517109219767e+08 1.1302784172599943e+08 1.0996315098592976e+08 1.0658299902915533e+08 1.0290288795490937e+08 9.8954386125650138e+07 9.4786392991499305e+07 9.0464504073785737e+07 8.6067951021617264e+07 8.1684128591156870e+07 7.7400761298131347e+07 7.3297714965744108e+07 6.9441348770802543e+07 6.5880152848147444e+07 6.2638910769776024e+07 5.9723124878613949e+07 5.7124107593729787e+07 5.4821774188045204e+07 5.2790702121142834e+07 5.1002871969082139e+07 4.9432480914041914e+07 4.8054025184223235e+07 4.6846780756364837e+07 4.5790594610555038e+07 4.4870782353287183e+07 4.4072318809649557e+07 4.3382544395884044e+07 4.2791639865502104e+07 4.2289086715165034e+07 4.1864737687549844e+07 4.1511212694828555e+07 4.1219240574283324e+07 4.0982174048410878e+07 4.0792304426341571e+07 4.0643052890971385e+07 4.0525439840138920e+07 4.0430690458768316e+07 4.0352337419002391e+07 4.0284198908264965e+07 4.0220136516656153e+07 4.0174879376450628e+07 4.0129206720992066e+07 4.0082615096386194e+07 4.0033818899945743e+07 3.9983481770575516e+07 3.9930151562191069e+07 3.9875644274216197e+07 3.9815064761794448e+07 3.9750231661312021e+07 3.9679951940704733e+07 3.9603293989567667e+07 3.9519125745640226e+07 3.9426171914938524e+07 3.9322595997982703e+07 3.9208643881740183e+07 3.9079959461395949e+07 3.8935681618357375e+07 3.8773716881176867e+07 3.8591812342894055e+07 3.8387644678331837e+07 3.8158883498839170e+07 3.7902947417835422e+07 3.7620220202786624e+07 3.7305703574673302e+07 3.6960499949920140e+07 3.6585407889212355e+07 3.6183369474998944e+07 3.5759390461778149e+07 3.5322998750071287e+07 3.4888368709915645e+07 3.4478756081642322e+07 3.4123307662341632e+07 3.3867772381508723e+07 3.3775844977193780e+07 3.3940110102602206e+07 3.4495281257769480e+07 3.5645501677188776e+07 3.7713932537338100e+07 4.1245167011244677e+07 7.3970537617308982e+06 +1.0717305768589775e+01 1.3265688335449208e+08 1.3264364298438004e+08 1.3262116830819300e+08 1.3259120428234524e+08 1.3256009042780532e+08 1.3253806969209114e+08 1.3252986181024131e+08 1.3252759778067948e+08 1.3252295795068344e+08 1.3251375675500949e+08 1.3250034670712812e+08 1.3248222216578551e+08 1.3245842878182536e+08 1.3242799771013549e+08 1.3238991017532900e+08 1.3234291841889378e+08 1.3228552884042984e+08 1.3221600715418077e+08 1.3213232539239144e+08 1.3203208854406339e+08 1.3191248891143525e+08 1.3177017103171597e+08 1.3160046853965345e+08 1.3139535388519830e+08 1.3114626663302743e+08 1.3084890663345276e+08 1.3049820715780401e+08 1.3008628612170479e+08 1.2960352478156005e+08 1.2903890659323409e+08 1.2837999375655782e+08 1.2761285904686323e+08 1.2672205699249880e+08 1.2569066135311060e+08 1.2450040586186102e+08 1.2313193900787526e+08 1.2156527172435714e+08 1.1978043857976361e+08 1.1775844990992573e+08 1.1548253117424163e+08 1.1273939261689466e+08 1.0967956206651379e+08 1.0630499821336538e+08 1.0263124415288691e+08 9.8689881544734493e+07 9.4529784999487713e+07 9.0216478513402715e+07 8.5829071633639917e+07 8.1454789527586460e+07 7.7181152500909820e+07 7.3087807070902452e+07 6.9240896141840190e+07 6.5688717274214134e+07 6.2455914223649159e+07 5.9547900462430984e+07 5.6955944940375447e+07 5.4659962862591326e+07 5.2634559498933308e+07 5.0851762935494781e+07 4.9285821253011197e+07 4.7911288888878062e+07 4.6707491287045874e+07 4.5654327479419634e+07 4.4737151119838044e+07 4.3940978172281154e+07 4.3253184221266150e+07 4.2663977248342499e+07 4.2162868892273016e+07 4.1739741064505979e+07 4.1387234655652627e+07 4.1096105523370415e+07 4.0859725104646161e+07 4.0670406848194987e+07 4.0521590462290414e+07 4.0404322009914562e+07 4.0309851950996205e+07 4.0231731101305902e+07 4.0163795271551393e+07 4.0099923982663319e+07 4.0054802026809484e+07 4.0009265854133166e+07 3.9962813483094238e+07 3.9914163138447650e+07 3.9863976469436951e+07 3.9810805713162191e+07 3.9756461216669828e+07 3.9696062778678894e+07 3.9631423465819582e+07 3.9561353811948337e+07 3.9484924990989804e+07 3.9401008324307792e+07 3.9308332329568684e+07 3.9205066040699348e+07 3.9091454389425695e+07 3.8963154598573729e+07 3.8819307991432667e+07 3.8657827353658363e+07 3.8476466511923119e+07 3.8272909085151695e+07 3.8044831649940841e+07 3.7789660577990569e+07 3.7507778277741775e+07 3.7194201705870010e+07 3.6850029856708400e+07 3.6476058904193394e+07 3.6075222137392499e+07 3.5652510349233530e+07 3.5217422962710269e+07 3.4784092021877125e+07 3.4375703563976660e+07 3.4021317542424574e+07 3.3766546032124624e+07 3.3674893434122384e+07 3.3838667602292523e+07 3.4392179413976938e+07 3.5538961966144763e+07 3.7601210607494704e+07 4.1121890525389887e+07 7.3706390222482635e+06 +1.0722274091364033e+01 1.3234210928922397e+08 1.3232890037566292e+08 1.3230647738192064e+08 1.3227658182511029e+08 1.3224553648963809e+08 1.3222355961983402e+08 1.3221535960781303e+08 1.3221308648090436e+08 1.3220844012788895e+08 1.3219923942028353e+08 1.3218583523834412e+08 1.3216772235443209e+08 1.3214394774334976e+08 1.3211354376741952e+08 1.3207549279431860e+08 1.3202854856373549e+08 1.3197121924056999e+08 1.3190177254030181e+08 1.3181818282558700e+08 1.3171805788084859e+08 1.3159859332079989e+08 1.3145643772570279e+08 1.3128693069863071e+08 1.3108205502210870e+08 1.3083325961526844e+08 1.3053624890152390e+08 1.3018596376996718e+08 1.2977453317773061e+08 1.2929235161022052e+08 1.2872841805723913e+08 1.2807031288473381e+08 1.2730413007052369e+08 1.2641444881544311e+08 1.2538437146279493e+08 1.2419566465062529e+08 1.2282901447816563e+08 1.2126447439350420e+08 1.1948212634887409e+08 1.1746303242980911e+08 1.1519047314073296e+08 1.1245152645935085e+08 1.0939655654193275e+08 1.0602758033324508e+08 1.0236018161006020e+08 9.8425954999150500e+07 9.4273749962892532e+07 8.9969018731659129e+07 8.5590748626936361e+07 8.1225995263018385e+07 7.6962074948067337e+07 7.2878415268813059e+07 6.9040943366371945e+07 6.5497764805974126e+07 6.2273384065816790e+07 5.9373126211117812e+07 5.6788217083520353e+07 5.4498572051451385e+07 5.2478824318860516e+07 5.0701049512581348e+07 4.9139546595712706e+07 4.7768928145727366e+07 4.6568569003708914e+07 4.5518420156683080e+07 4.4603873235348478e+07 4.3809985253646702e+07 4.3124166885458343e+07 4.2536653279612429e+07 4.2036986144320779e+07 4.1615076488528557e+07 4.1263586131357685e+07 4.0973297882517993e+07 4.0737601849687465e+07 4.0548833566486798e+07 4.0400451222809657e+07 4.0283526484027043e+07 4.0189335022127181e+07 4.0111445753871128e+07 4.0043712070209473e+07 3.9980031377138019e+07 3.9935044246226087e+07 3.9889644193236500e+07 3.9843330705188818e+07 3.9794825824159272e+07 3.9744789215025432e+07 3.9691777486245915e+07 3.9637595348522559e+07 3.9577377502991602e+07 3.9512931462025352e+07 3.9443071315735005e+07 3.9366871015143991e+07 3.9283205256126918e+07 3.9190806357868738e+07 3.9087848872838885e+07 3.8974576780952938e+07 3.8846660595923118e+07 3.8703244076994658e+07 3.8542246250204727e+07 3.8361427657970801e+07 3.8158478844895191e+07 3.7931083334265001e+07 3.7676675235173047e+07 3.7395635601640515e+07 3.7082996584112205e+07 3.6739853764577210e+07 3.6367000936570391e+07 3.5967362619102709e+07 3.5545914683454998e+07 3.5112128150783867e+07 3.4680092851685941e+07 3.4272925306644924e+07 3.3919598855379902e+07 3.3665589082918867e+07 3.3574210559642047e+07 3.3737495077181585e+07 3.4289351961513512e+07 3.5432705795897983e+07 3.7488788671361916e+07 4.0998942123452574e+07 7.3443138783079302e+06 +1.0727242414138292e+01 1.3202789762364958e+08 1.3201471936563651e+08 1.3199234812362736e+08 1.3196252090889710e+08 1.3193154399945073e+08 1.3190961093677691e+08 1.3190141881720850e+08 1.3189913665317301e+08 1.3189448384288596e+08 1.3188528368903063e+08 1.3187188544270308e+08 1.3185378429236615e+08 1.3183002853760839e+08 1.3179965174873006e+08 1.3176163743895383e+08 1.3171474084791024e+08 1.3165747190813947e+08 1.3158810033949366e+08 1.3150460283854659e+08 1.3140458998947607e+08 1.3128526072417338e+08 1.3114326767094900e+08 1.3097395640685184e+08 1.3076932005649106e+08 1.3052081691192892e+08 1.3022415597982563e+08 1.2987428576907034e+08 1.2946334628498255e+08 1.2898174525068109e+08 1.2841849720010203e+08 1.2776120067342179e+08 1.2699597085774462e+08 1.2610741162902014e+08 1.2507865391224378e+08 1.2389149723964608e+08 1.2252666529913603e+08 1.2096425401700619e+08 1.1918439267270547e+08 1.1716819501990914e+08 1.1489899649598944e+08 1.1216424271953981e+08 1.0911413383686095e+08 1.0575074476972432e+08 1.0208969966152607e+08 9.8162605778138861e+07 9.4018287126564309e+07 8.9722123932148308e+07 8.5352981168803975e+07 8.0997744935641527e+07 7.6743527756307289e+07 7.2669538663406953e+07 6.8841489543614000e+07 6.5307294545310438e+07 6.2091319406833917e+07 5.9198801248231038e+07 5.6620923162350707e+07 5.4337600911009267e+07 5.2323495754761346e+07 5.0550730891222902e+07 4.8993656149313718e+07 4.7626942176955722e+07 4.6430013142095849e+07 4.5382871890413664e+07 4.4470947958852977e+07 4.3679339322337784e+07 4.2995491665529311e+07 4.2409667243684590e+07 4.1911437761880472e+07 4.1490743255562894e+07 4.1140266422262296e+07 4.0850816955974936e+07 4.0615803590894565e+07 4.0427583891251877e+07 4.0279634484660394e+07 4.0163052576214679e+07 4.0069138987423070e+07 3.9991480693151429e+07 3.9923948621820696e+07 3.9860458018812500e+07 3.9815605354190104e+07 3.9770341058574110e+07 3.9724166083700992e+07 3.9675806278925121e+07 3.9625919330057435e+07 3.9573066205048457e+07 3.9519045994343489e+07 3.9459008260357864e+07 3.9394754976563334e+07 3.9325103779954776e+07 3.9249131391158774e+07 3.9165715871639736e+07 3.9073593331998914e+07 3.8970943828277469e+07 3.8858010392155886e+07 3.8730476791461013e+07 3.8587489215422317e+07 3.8426972913992137e+07 3.8246695127370141e+07 3.8044353307327278e+07 3.7817637905431628e+07 3.7563990747349970e+07 3.7283791537198827e+07 3.6972087577486292e+07 3.6629971047443099e+07 3.6258233366585523e+07 3.5859790307229452e+07 3.5439602858679958e+07 3.5007113715932496e+07 3.4576370608337305e+07 3.4170420725645117e+07 3.3818151023193263e+07 3.3564900960196383e+07 3.3473795781637557e+07 3.3636591952297337e+07 3.4186798316041619e+07 3.5326732562604368e+07 3.7376666090084910e+07 4.0876321106780060e+07 7.3180780481151491e+06 +1.0732210736912551e+01 1.3171424740293185e+08 1.3170109990232879e+08 1.3167878032135303e+08 1.3164902127179696e+08 1.3161811271423374e+08 1.3159622339783090e+08 1.3158803919324163e+08 1.3158574805224951e+08 1.3158108885013115e+08 1.3157188931536663e+08 1.3155849707411124e+08 1.3154040773302580e+08 1.3151667091722350e+08 1.3148632140637170e+08 1.3144834386093056e+08 1.3140149502210215e+08 1.3134428659300876e+08 1.3127499030034515e+08 1.3119158517869295e+08 1.3109168461580612e+08 1.3097249086541319e+08 1.3083066060891315e+08 1.3066154540351114e+08 1.3045714872436737e+08 1.3020893825494920e+08 1.2991262759580123e+08 1.2956317287738824e+08 1.2915272515920313e+08 1.2867170541163953e+08 1.2810914372175701e+08 1.2745265681269106e+08 1.2668838108691680e+08 1.2580094509833223e+08 1.2477350835098028e+08 1.2358790326068616e+08 1.2222489108232561e+08 1.2066461018350370e+08 1.1888723711384001e+08 1.1687393721361583e+08 1.1460810074125950e+08 1.1187754086086904e+08 1.0883229337359495e+08 1.0547449090116745e+08 1.0181979764055890e+08 9.7899833169216648e+07 9.3763395733704239e+07 8.9475793317045644e+07 8.5115768425848216e+07 8.0770037682824433e+07 7.6525510041960567e+07 7.2461176358279184e+07 6.8642533772909999e+07 6.5117305594377540e+07 6.1909719357564449e+07 5.9024924697634868e+07 5.6454062316718310e+07 5.4177048598194793e+07 5.2168572981145151e+07 5.0400806263084218e+07 4.8848149121552184e+07 4.7485330205301069e+07 4.6291822938604482e+07 4.5247681929331400e+07 4.4338374549960621e+07 4.3549039647663973e+07 4.2867157839122482e+07 4.2283018425559282e+07 4.1786223036185294e+07 4.1366740662139177e+07 4.1017274829497434e+07 4.0728662048634343e+07 4.0494329636304215e+07 4.0306657133071482e+07 4.0159139560574010e+07 4.0042899601018958e+07 3.9949263162854657e+07 3.9871835236401752e+07 3.9804504244764313e+07 3.9741203227018386e+07 3.9696484670875944e+07 3.9651355771065176e+07 3.9605318940340117e+07 3.9557103825264484e+07 3.9507366137894027e+07 3.9454671193874389e+07 3.9400812479314439e+07 3.9340954376954533e+07 3.9276893336788639e+07 3.9207450533119775e+07 3.9131705448881641e+07 3.9048539502145521e+07 3.8956692584771268e+07 3.8854350241624527e+07 3.8741754559567459e+07 3.8614602523866937e+07 3.8472042747933075e+07 3.8312006688896805e+07 3.8132268267015547e+07 3.7930531822837524e+07 3.7704494717686452e+07 3.7451606473059155e+07 3.7172245447800875e+07 3.6861474054726057e+07 3.6520381079856634e+07 3.6149755575149842e+07 3.5752504589448161e+07 3.5333574269776434e+07 3.4902379060412809e+07 3.4472924701444700e+07 3.4068189237482704e+07 3.3716973468419828e+07 3.3464481090831794e+07 3.3373648528514124e+07 3.3535957653329123e+07 3.4084517893882416e+07 3.5221041663122326e+07 3.7264842225418508e+07 4.0754026777383506e+07 7.2919312506568404e+06 +1.0737179059686810e+01 1.3140115777680251e+08 1.3138804138164036e+08 1.3136577371433729e+08 1.3133608266373584e+08 1.3130524238601360e+08 1.3128339675420442e+08 1.3127522048722135e+08 1.3127292042914735e+08 1.3126825490033208e+08 1.3125905604978593e+08 1.3124566988273580e+08 1.3122759242611709e+08 1.3120387463165902e+08 1.3117355248910002e+08 1.3113561180823259e+08 1.3108881083382064e+08 1.3103166304142195e+08 1.3096244216807364e+08 1.3087912958978692e+08 1.3077934150205736e+08 1.3066028348471357e+08 1.3051861627797697e+08 1.3034969742396528e+08 1.3014554075808711e+08 1.2989762337306096e+08 1.2960166347367406e+08 1.2925262481358965e+08 1.2884266951277673e+08 1.2836223179807195e+08 1.2780035731883895e+08 1.2714468098914433e+08 1.2638136043313669e+08 1.2549504888515955e+08 1.2446893442532356e+08 1.2328488234243800e+08 1.2192369143620892e+08 1.2036554247836128e+08 1.1859065923196086e+08 1.1658025854169595e+08 1.1431778537522990e+08 1.1159142034405115e+08 1.0855103457178490e+08 1.0519881810392869e+08 1.0155047487829039e+08 9.7637636458257020e+07 9.3509075026271760e+07 8.9230026087617859e+07 8.4879109563535839e+07 8.0542872641204298e+07 7.6308020920878872e+07 7.2253327456865624e+07 6.8444075153465182e+07 6.4927797055450968e+07 6.1728583029127002e+07 5.8851495683702305e+07 5.6287633686766841e+07 5.4016914270546421e+07 5.2014055173040047e+07 5.0251274820318229e+07 4.8703024720944956e+07 4.7344091454187855e+07 4.6153997630393408e+07 4.5112849522831932e+07 4.4206152268964224e+07 4.3419085499506116e+07 4.2739164684603177e+07 4.2156706110851318e+07 4.1661341259188704e+07 4.1243068005621567e+07 4.0894610654898934e+07 4.0606832466134608e+07 4.0373179294713549e+07 4.0186052603338614e+07 4.0038965764010422e+07 3.9923066873614803e+07 3.9829706865033761e+07 3.9752508701468155e+07 3.9685378257949136e+07 3.9622266321875557e+07 3.9577681517091729e+07 3.9532687652270861e+07 3.9486788597512625e+07 3.9438717786391176e+07 3.9389128962616578e+07 3.9336591777693488e+07 3.9282894129338495e+07 3.9223215179743193e+07 3.9159345870680176e+07 3.9090110904435366e+07 3.9014592518819034e+07 3.8931675479520738e+07 3.8840103449694835e+07 3.8738067448072813e+07 3.8625808620305210e+07 3.8499037132456228e+07 3.8356904016223431e+07 3.8197346919426799e+07 3.8018146424516141e+07 3.7817013742467858e+07 3.7591653125921041e+07 3.7339521771613091e+07 3.7060996697454922e+07 3.6751155385061331e+07 3.6411083237011954e+07 3.6041566943758167e+07 3.5645504854060963e+07 3.5227828312218368e+07 3.4797923587081626e+07 3.4369754541221775e+07 3.3966230259273261e+07 3.3616065614214271e+07 3.3364328902266558e+07 3.3273768229329698e+07 3.3435591606511269e+07 3.3982510111803524e+07 3.5115632494798169e+07 3.7153316439883403e+07 4.0632058438012488e+07 7.2658732056999272e+06 +1.0742147382461068e+01 1.3108862971860896e+08 1.3107554379337929e+08 1.3105332801121119e+08 1.3102370483748679e+08 1.3099293276257767e+08 1.3097113075313959e+08 1.3096296244666149e+08 1.3096065353139554e+08 1.3095598174063806e+08 1.3094678363924623e+08 1.3093340361519289e+08 1.3091533811790320e+08 1.3089163942653555e+08 1.3086134474206735e+08 1.3082344102536765e+08 1.3077668802650183e+08 1.3071960099603353e+08 1.3065045568429269e+08 1.3056723581214428e+08 1.3046756038685505e+08 1.3034863831907788e+08 1.3020713441259640e+08 1.3003841220029929e+08 1.2983449588647659e+08 1.2958687199117167e+08 1.2929126333386384e+08 1.2894264129287423e+08 1.2853317905476581e+08 1.2805332411168286e+08 1.2749213768433669e+08 1.2683727288601671e+08 1.2607490856794575e+08 1.2518972264777401e+08 1.2416493177833681e+08 1.2298243411034514e+08 1.2162306596607892e+08 1.2006705048404935e+08 1.1829465858354165e+08 1.1628715853195831e+08 1.1402804989368634e+08 1.1130588062734504e+08 1.0827035684895942e+08 1.0492372575199741e+08 1.0128173070384999e+08 9.7376014929222494e+07 9.3255324244542852e+07 8.8984821443626001e+07 8.4643003746421590e+07 8.0316248946916461e+07 7.6091059508578390e+07 7.2045991062584862e+07 6.8246112784556165e+07 6.4738768030901060e+07 6.1547909533073224e+07 5.8678513331180722e+07 5.6121636413237467e+07 5.3857197086052977e+07 5.1859941506128825e+07 5.0102135755804256e+07 4.8558282156481870e+07 4.7203225147758923e+07 4.6016536455176897e+07 4.4978373920977481e+07 4.4074280376913153e+07 4.3289476148519225e+07 4.2611511481124811e+07 4.2030729585932560e+07 4.1536791723509483e+07 4.1119724583893493e+07 4.0772273200943239e+07 4.0485327514761694e+07 4.0252351875556551e+07 4.0065769614098951e+07 3.9919112409163810e+07 3.9803553709882751e+07 3.9710469411288038e+07 3.9633500406964883e+07 3.9566569981161363e+07 3.9503646624087341e+07 3.9459195214352317e+07 3.9414336024494559e+07 3.9368574378271550e+07 3.9320647486249618e+07 3.9271207128985524e+07 3.9218827282147266e+07 3.9165290270988926e+07 3.9105789996316083e+07 3.9042111906959563e+07 3.8973084223775566e+07 3.8897791932086378e+07 3.8815123136384226e+07 3.8723825260899737e+07 3.8622094783575952e+07 3.8510171912228100e+07 3.8383779957286693e+07 3.8242072362787507e+07 3.8082992950778164e+07 3.7904328948114388e+07 3.7703798417935573e+07 3.7479112485770725e+07 3.7227736002848268e+07 3.6950044650841802e+07 3.6641130938579462e+07 3.6302076894669436e+07 3.5933666854552813e+07 3.5538790490021214e+07 3.5122364382091336e+07 3.4693746699384935e+07 3.4266859538475052e+07 3.3864543208769105e+07 3.3515426884278812e+07 3.3264443822563920e+07 3.3174154313607037e+07 3.3335493238645054e+07 3.3880774387293816e+07 3.5010504455665193e+07 3.7042088096482493e+07 4.0510415392093688e+07 7.2399036337897060e+06 +1.0747115705235327e+01 1.3077666287357403e+08 1.3076360720859890e+08 1.3074144298362607e+08 1.3071188753949670e+08 1.3068118358673063e+08 1.3065942513827854e+08 1.3065126481552064e+08 1.3064894710288867e+08 1.3064426911462457e+08 1.3063507182702686e+08 1.3062169801451761e+08 1.3060364455085750e+08 1.3057996504399712e+08 1.3054969790678589e+08 1.3051183125315160e+08 1.3046512634029031e+08 1.3040810019601734e+08 1.3033903058696912e+08 1.3025590358229950e+08 1.3015634100519244e+08 1.3003755510164575e+08 1.2989621474380748e+08 1.2972768946084315e+08 1.2952401383490516e+08 1.2927668383087948e+08 1.2898142689342652e+08 1.2863322202694674e+08 1.2822425349065967e+08 1.2774498205062254e+08 1.2718448450816879e+08 1.2653043218301244e+08 1.2576902515990274e+08 1.2488496604129252e+08 1.2386150004973680e+08 1.2268055818655761e+08 1.2132301427407219e+08 1.1976913378000538e+08 1.1799923472244288e+08 1.1599463670933229e+08 1.1373889378979349e+08 1.1102092116637653e+08 1.0799025962008218e+08 1.0464921321733151e+08 1.0101356444443305e+08 9.7114967864472955e+07 9.3002142627294615e+07 8.8740178583900675e+07 8.4407450138265967e+07 8.0090165735420123e+07 7.5874624920064077e+07 7.1839166278412163e+07 6.8048645765467986e+07 6.4550217623510391e+07 6.1367697981104247e+07 5.8505976765218079e+07 5.5956069637327172e+07 5.3697896203311764e+07 5.1706231156668194e+07 4.9953388262997538e+07 4.8413920637892231e+07 4.7062730510728002e+07 4.5879438651447371e+07 4.4844254374512814e+07 4.3942758135456674e+07 4.3160210866108336e+07 4.2484197508349061e+07 4.1905088137902364e+07 4.1412573722508065e+07 4.0996709695730001e+07 4.0650261770855270e+07 4.0364146501470402e+07 4.0131846688978240e+07 3.9945807478085838e+07 3.9799578810822032e+07 3.9684359426389500e+07 3.9591550119695581e+07 3.9514809672158532e+07 3.9448078734754376e+07 3.9385343455193780e+07 3.9341025084874727e+07 3.9296300210782476e+07 3.9250675606402904e+07 3.9202892249409176e+07 3.9153599962429732e+07 3.9101377033635482e+07 3.9048000231547654e+07 3.8988678154932640e+07 3.8925190774977289e+07 3.8856369821689390e+07 3.8781303020590626e+07 3.8698881806015484e+07 3.8607857353308775e+07 3.8506431584723607e+07 3.8394843773864254e+07 3.8268830338991784e+07 3.8127547130732849e+07 3.7968944128812201e+07 3.7790815186768994e+07 3.7590885201586880e+07 3.7366872153396599e+07 3.7116248527350910e+07 3.6839388673257396e+07 3.6531400085803002e+07 3.6193361429320924e+07 3.5826054690334387e+07 3.5432360886861935e+07 3.5017181876120776e+07 3.4589847801424943e+07 3.4164239104584545e+07 3.3763127504256576e+07 3.3415056702903990e+07 3.3164825280297421e+07 3.3074806211592402e+07 3.3235661977151398e+07 3.3779310138372198e+07 3.4905656944364086e+07 3.6931156558992490e+07 4.0389096943768531e+07 7.2140222562481724e+06 +1.0752084028009586e+01 1.3046525584956665e+08 1.3045223096770631e+08 1.3043011836423431e+08 1.3040063051188752e+08 1.3036999459607917e+08 1.3034827964968450e+08 1.3034012733417155e+08 1.3033780088403675e+08 1.3033311676234691e+08 1.3032392035282609e+08 1.3031055281993769e+08 1.3029251146405731e+08 1.3026885122264534e+08 1.3023861172116506e+08 1.3020078222885515e+08 1.3015412551155120e+08 1.3009716037680930e+08 1.3002816661036718e+08 1.2994513263342811e+08 1.2984568308860223e+08 1.2972703356198025e+08 1.2958585699908833e+08 1.2941752893050645e+08 1.2921409432500060e+08 1.2896705861015637e+08 1.2867215386584821e+08 1.2832436672396202e+08 1.2791589252227794e+08 1.2743720530967878e+08 1.2687739747633035e+08 1.2622415855668968e+08 1.2546370987390608e+08 1.2458077871738610e+08 1.2355863887601991e+08 1.2237925419006239e+08 1.2102353595911533e+08 1.1947179194241242e+08 1.1770438719929993e+08 1.1570269259590758e+08 1.1345031655407578e+08 1.1073654141425647e+08 1.0771074229781255e+08 1.0437527986958818e+08 1.0074597542535490e+08 9.6854494544625670e+07 9.2749529412124261e+07 8.8496096705811039e+07 8.4172447901726097e+07 7.9864622141364962e+07 7.5658716270002142e+07 7.1632852207423061e+07 6.7851673195566878e+07 6.4362144936040662e+07 6.1187947485456966e+07 5.8333885111490563e+07 5.5790932500781842e+07 5.3539010781530723e+07 5.1552923301546834e+07 4.9805031535956360e+07 4.8269939375538729e+07 4.6922606768508106e+07 4.5742703458261400e+07 4.4710490134870850e+07 4.3811584807013020e+07 4.3031288924228229e+07 4.2357222046854913e+07 4.1779781054482654e+07 4.1288686550173074e+07 4.0874022640503511e+07 4.0528575668488577e+07 4.0243288734005399e+07 4.0011663045778744e+07 3.9826165508743644e+07 3.9680364284564398e+07 3.9565483340412073e+07 3.9472948308901004e+07 3.9396435817009211e+07 3.9329903839789785e+07 3.9267356137262896e+07 3.9223170451585717e+07 3.9178579534738906e+07 3.9133091606344990e+07 3.9085451401131280e+07 3.9036306789092161e+07 3.8984240359113157e+07 3.8931023338932253e+07 3.8871878984584153e+07 3.8808581804809615e+07 3.8739967029423252e+07 3.8665125116861373e+07 3.8582950822343245e+07 3.8492199062357411e+07 3.8391077188805424e+07 3.8279823544383340e+07 3.8154187618973643e+07 3.8013327663832799e+07 3.7855199800002798e+07 3.7677604490061857e+07 3.7478273446446747e+07 3.7254931485718377e+07 3.7005058706273936e+07 3.6729028130667634e+07 3.6421962198076963e+07 3.6084936217992105e+07 3.5718729834454253e+07 3.5326215434772931e+07 3.4912280191600539e+07 3.4486226297840640e+07 3.4061892651594467e+07 3.3661982564663827e+07 3.3314954495001391e+07 3.3065472704731315e+07 3.2975723353985026e+07 3.3136097249998510e+07 3.3678116783667386e+07 3.4801089360126175e+07 3.6820521191782348e+07 4.0268102397954524e+07 7.1882287951723645e+06 +1.0757052350783844e+01 1.3015441026676521e+08 1.3014141499067035e+08 1.3011935377869733e+08 1.3008993349854867e+08 1.3005936552318023e+08 1.3003769402389589e+08 1.3002954973920083e+08 1.3002721461148019e+08 1.3002252442013016e+08 1.3001332895292495e+08 1.2999996776748528e+08 1.2998193859295525e+08 1.2995829769723237e+08 1.2992808591975322e+08 1.2989029368625268e+08 1.2984368527338913e+08 1.2978678127047279e+08 1.2971786348548776e+08 1.2963492269497900e+08 1.2953558636513866e+08 1.2941707342621689e+08 1.2927606090233481e+08 1.2910793033064178e+08 1.2890473707517743e+08 1.2865799604361646e+08 1.2836344396111591e+08 1.2801607508879653e+08 1.2760809584823936e+08 1.2712999358011752e+08 1.2657087627192384e+08 1.2591845167988016e+08 1.2515896237147705e+08 1.2427716032467639e+08 1.2325634789058195e+08 1.2207852173675752e+08 1.2072463061735658e+08 1.1917502454471901e+08 1.1741011556194177e+08 1.1541132571102959e+08 1.1316231767424096e+08 1.1045274082155101e+08 1.0743180429251234e+08 1.0410192507640943e+08 1.0047896296994406e+08 9.6594594248615786e+07 9.2497483834973499e+07 8.8252575005891219e+07 8.3937996198803648e+07 7.9639617298991874e+07 7.5443332672714844e+07 7.1427047952359140e+07 6.7655194174245059e+07 6.4174549071617149e+07 6.1008657158531107e+07 5.8162237495965786e+07 5.5626224145906866e+07 5.3380539980429955e+07 5.1400017118214697e+07 4.9657064769498080e+07 4.8126337580479905e+07 4.6782853147224411e+07 4.5606330115423560e+07 4.4577080454202287e+07 4.3680759654618487e+07 4.2902709595631093e+07 4.2230584377727658e+07 4.1654807624145895e+07 4.1165129501226164e+07 4.0751662718255296e+07 4.0407214198451251e+07 4.0122753520717010e+07 3.9891800257590242e+07 3.9706843020227328e+07 3.9561468146658823e+07 3.9446924769902855e+07 3.9354663298394091e+07 3.9278378162161574e+07 3.9212044618054003e+07 3.9149683993179277e+07 3.9105630638069995e+07 3.9061173320776276e+07 3.9015821703287810e+07 3.8968324267430313e+07 3.8919326935808368e+07 3.8867416586369097e+07 3.8814358921774656e+07 3.8755391814903602e+07 3.8692284327243410e+07 3.8623875178959943e+07 3.8549257554123208e+07 3.8467329520044513e+07 3.8376849724274755e+07 3.8276030933721334e+07 3.8165110563673072e+07 3.8039851139239535e+07 3.7899413306582965e+07 3.7741759311585784e+07 3.7564696208192244e+07 3.7365962506234862e+07 3.7143289840269350e+07 3.6894165901540138e+07 3.6618962389679097e+07 3.6312816647269100e+07 3.5976800638446771e+07 3.5611691670963064e+07 3.5220353524561003e+07 3.4807658726520084e+07 3.4382881593936652e+07 3.3959819592069805e+07 3.3561107809456997e+07 3.3215119686064024e+07 3.2966385525584664e+07 3.2876905172134306e+07 3.3036798485753816e+07 3.3577193742410079e+07 3.4696801102802344e+07 3.6710181359911650e+07 4.0147431060208775e+07 7.1625229734327216e+06 +1.0762020673558103e+01 1.2984412340513596e+08 1.2983115880526744e+08 1.2980914904379469e+08 1.2977979624581331e+08 1.2974929609687363e+08 1.2972766799434160e+08 1.2971953176387236e+08 1.2971718801856092e+08 1.2971249182102175e+08 1.2970329735986103e+08 1.2968994258946420e+08 1.2967192566942228e+08 1.2964830419940421e+08 1.2961812023325332e+08 1.2958036535552636e+08 1.2953380535515183e+08 1.2947696260544810e+08 1.2940812093969771e+08 1.2932527349308106e+08 1.2922605055927242e+08 1.2910767441712381e+08 1.2896682617398611e+08 1.2879889337910110e+08 1.2859594180008540e+08 1.2834949584214838e+08 1.2805529688588232e+08 1.2770834682251824e+08 1.2730086316380189e+08 1.2682334654995744e+08 1.2626492057428662e+08 1.2561331122260569e+08 1.2485478231116167e+08 1.2397411050831084e+08 1.2295462672337867e+08 1.2177836043932746e+08 1.2042629784145980e+08 1.1887883115714596e+08 1.1711641935545303e+08 1.1512053557128844e+08 1.1287489663544644e+08 1.1016951883629516e+08 1.0715344501203750e+08 1.0382914820318761e+08 1.0021252639965165e+08 9.6335266253731787e+07 9.2246005130365670e+07 8.8009612679280296e+07 8.3704094190428972e+07 7.9415150341816932e+07 7.5228473242166415e+07 7.1221752615907058e+07 6.7459207800907508e+07 6.3987429133436657e+07 6.0829826113182805e+07 5.7991033045221113e+07 5.5461943715389915e+07 5.3222482960350931e+07 5.1247511784776606e+07 4.9509487158966072e+07 4.7983114464372560e+07 4.6643468873698160e+07 4.5470317863458127e+07 4.4444024585316017e+07 4.3550281942121446e+07 4.2774472153770216e+07 4.2104283782876268e+07 4.1530167136099145e+07 4.1041901871166937e+07 4.0629629229786351e+07 4.0286176666070990e+07 4.0002540170774333e+07 3.9772257636664994e+07 3.9587839327415287e+07 3.9442889714076154e+07 3.9328683033590078e+07 3.9236694408275895e+07 3.9160636029051974e+07 3.9094500392067663e+07 3.9032326346485965e+07 3.8988404968684472e+07 3.8944080893960223e+07 3.8898865223056145e+07 3.8851510174974784e+07 3.8802659730119921e+07 3.8750905043792367e+07 3.8698006309436515e+07 3.8639215976286530e+07 3.8576297673644766e+07 3.8508093602867849e+07 3.8433699666290730e+07 3.8352017234429725e+07 3.8261808675987318e+07 3.8161292158180676e+07 3.8050704172266640e+07 3.7925820242508851e+07 3.7785803404093899e+07 3.7628622011414148e+07 3.7452089692145146e+07 3.7253951735280827e+07 3.7031946575258285e+07 3.6783569475583911e+07 3.6509190817571066e+07 3.6203962805933468e+07 3.5868954069037855e+07 3.5504939584557191e+07 3.5114774547646903e+07 3.4703316879408859e+07 3.4279813095632508e+07 3.3858019339257002e+07 3.3460502658744000e+07 3.3115551702160880e+07 3.2867563173294745e+07 3.2778351097983412e+07 3.2937765113607567e+07 3.3476540434438251e+07 3.4592791572912388e+07 3.6600136429026045e+07 4.0027082236771405e+07 7.1369045146714197e+06 +1.0766988996332362e+01 1.2953439672657935e+08 1.2952146247922005e+08 1.2949950407112820e+08 1.2947021849755259e+08 1.2943978604260492e+08 1.2941820129114351e+08 1.2941007313797092e+08 1.2940772083480771e+08 1.2940301869436206e+08 1.2939382530285621e+08 1.2938047701462577e+08 1.2936247242192021e+08 1.2933887045714448e+08 1.2930871438913043e+08 1.2927099696337859e+08 1.2922448548269716e+08 1.2916770410676773e+08 1.2909893869680969e+08 1.2901618475027400e+08 1.2891707539186473e+08 1.2879883625378944e+08 1.2865815253106859e+08 1.2849041779021268e+08 1.2828770821115375e+08 1.2804155771347423e+08 1.2774771234325008e+08 1.2740118162330019e+08 1.2699419416069753e+08 1.2651726390365662e+08 1.2595953005969590e+08 1.2530873685105084e+08 1.2455116934803650e+08 1.2367162891023451e+08 1.2265347500140816e+08 1.2147876990740024e+08 1.2012853722125597e+08 1.1858321134720340e+08 1.1682329812159896e+08 1.1483032169038193e+08 1.1258805292010802e+08 1.0988687490413564e+08 1.0687566386200036e+08 1.0355694861308847e+08 9.9946665033911109e+07 9.6076509835595265e+07 9.1995092531562343e+07 8.7767208920121819e+07 8.3470741036779478e+07 7.9191220402752921e+07 7.5014137091985837e+07 7.1016965300608665e+07 6.7263713175075561e+07 6.3800784225039192e+07 6.0651453462522753e+07 5.7820270886145972e+07 5.5298090352597021e+07 5.3064838882172845e+07 5.1095406479939669e+07 4.9362297900400199e+07 4.7840269239598639e+07 4.6504453175326981e+07 4.5334665943547703e+07 4.4311321781751037e+07 4.3420150933931954e+07 4.2646575872746155e+07 4.1978319544895522e+07 4.1405858880190253e+07 4.0919002956120282e+07 4.0507921476627260e+07 4.0165462377341323e+07 3.9882647993984386e+07 3.9653034495903023e+07 3.9469153745790504e+07 3.9324628304419719e+07 3.9210757450798452e+07 3.9119040959412530e+07 3.9043208739725046e+07 3.8977270484981999e+07 3.8915282521460503e+07 3.8871492768365473e+07 3.8827301580060527e+07 3.8782221492239945e+07 3.8735008451125510e+07 3.8686304500183687e+07 3.8634705060511850e+07 3.8581964831928730e+07 3.8523350799747340e+07 3.8460621176222391e+07 3.8392621634498887e+07 3.8318450787979245e+07 3.8237013301536232e+07 3.8147075255098179e+07 3.8046860201456450e+07 3.7936603711394951e+07 3.7812094272203371e+07 3.7672497302248664e+07 3.7515787248074345e+07 3.7339784293505624e+07 3.7142240488631211e+07 3.6920901049547479e+07 3.6673268791666284e+07 3.6399712782264151e+07 3.6095400047316864e+07 3.5761395888730079e+07 3.5398472960554406e+07 3.5009477896115571e+07 3.4599254049473569e+07 3.4177020209443182e+07 3.3756491306984887e+07 3.3360166533265844e+07 3.3016249969978947e+07 3.2769005078821998e+07 3.2680060564036224e+07 3.2838996563295662e+07 3.3376156280170701e+07 3.4489060171512745e+07 3.6490385765551426e+07 3.9907055234734029e+07 7.1113731433007261e+06 +1.0771957319106621e+01 1.2922522990813890e+08 1.2921232590990515e+08 1.2919041845976995e+08 1.2916119998866546e+08 1.2913083508427528e+08 1.2910929364119075e+08 1.2910117358743806e+08 1.2909881278658734e+08 1.2909410476610202e+08 1.2908491250743872e+08 1.2907157076831315e+08 1.2905357857531713e+08 1.2902999619471884e+08 1.2899986811131112e+08 1.2896218823317942e+08 1.2891572537847868e+08 1.2885900549588236e+08 1.2879031647725901e+08 1.2870765618553479e+08 1.2860866058059022e+08 1.2849055865180317e+08 1.2835003968707907e+08 1.2818250327517040e+08 1.2798003601618467e+08 1.2773418136169416e+08 1.2744069003298409e+08 1.2709457918543419e+08 1.2668808852713564e+08 1.2621174532241248e+08 1.2565470440104525e+08 1.2500472822845684e+08 1.2424812313382304e+08 1.2336971516940907e+08 1.2235289234834336e+08 1.2117974974727961e+08 1.1983134834359565e+08 1.1828816467911027e+08 1.1653075139983134e+08 1.1454068357929692e+08 1.1230178600807869e+08 1.0960480846809725e+08 1.0659846024591058e+08 1.0328532566745752e+08 9.9681378190423489e+07 9.5818324268096566e+07 9.1744745270433962e+07 8.7525362921394706e+07 8.3237935897097319e+07 7.8967826614226565e+07 7.4800323335282877e+07 7.0812685108884677e+07 6.7068709396361560e+07 6.3614613450187765e+07 6.0473538320111006e+07 5.7649950146188505e+07 5.5134663201339468e+07 5.2907606907342717e+07 5.0943700383057833e+07 4.9215496190471776e+07 4.7697801119244121e+07 4.6365805280296743e+07 4.5199373597547926e+07 4.4178971297738425e+07 4.3290365895269468e+07 4.2519020027438425e+07 4.1852690947071336e+07 4.1281882147030480e+07 4.0796432052938983e+07 4.0386538760999665e+07 4.0045070639056414e+07 3.9763076300843455e+07 3.9534130149049789e+07 3.9350785591714315e+07 3.9206683236123413e+07 3.9093147341705188e+07 3.9001702273309082e+07 3.8926095616961390e+07 3.8860354220704570e+07 3.8798551843005300e+07 3.8754893362850845e+07 3.8710834705557056e+07 3.8665889838096268e+07 3.8618818423992723e+07 3.8570260574981220e+07 3.8518815966370866e+07 3.8466233820013747e+07 3.8407795617073424e+07 3.8345254167821869e+07 3.8277458607893266e+07 3.8203510254504025e+07 3.8122317058095247e+07 3.8032648799851522e+07 3.7932734403604232e+07 3.7822808523038946e+07 3.7698672572385028e+07 3.7559494347491279e+07 3.7403254370738812e+07 3.7227779364565730e+07 3.7030828122039892e+07 3.6810152622732826e+07 3.6563263213604294e+07 3.6290527652344987e+07 3.5987127745225631e+07 3.5654125477281101e+07 3.5292291184866041e+07 3.4904462962680370e+07 3.4495469636535592e+07 3.4074502342508689e+07 3.3655234909679517e+07 3.3260098854322713e+07 3.2917213916796174e+07 3.2670710673729330e+07 3.2582033003439758e+07 3.2740492265192341e+07 3.3276040700653251e+07 3.4385606300361134e+07 3.6380928736448288e+07 3.9787349361809745e+07 7.0859285845013438e+06 +1.0776925641880879e+01 1.2891662150760290e+08 1.2890374817805602e+08 1.2888189189534219e+08 1.2885274044262818e+08 1.2882244294468626e+08 1.2880094476798142e+08 1.2879283283532311e+08 1.2879046359639920e+08 1.2878574975872661e+08 1.2877655869588374e+08 1.2876322357236739e+08 1.2874524385113996e+08 1.2872168113327475e+08 1.2869158112022105e+08 1.2865393888442467e+08 1.2860752476160097e+08 1.2855086649085186e+08 1.2848225399784838e+08 1.2839968751459208e+08 1.2830080583947982e+08 1.2818284132355240e+08 1.2804248735211818e+08 1.2787514954126103e+08 1.2767292491972165e+08 1.2742736648759896e+08 1.2713422965136319e+08 1.2678853920014165e+08 1.2638254594822663e+08 1.2590679048412262e+08 1.2535044326772933e+08 1.2470128501461440e+08 1.2394564331721368e+08 1.2306836892124963e+08 1.2205287838479468e+08 1.2088129956260151e+08 1.1953473079211140e+08 1.1799369071440722e+08 1.1623877872627127e+08 1.1425162074636434e+08 1.1201609537648620e+08 1.0932331896884128e+08 1.0632183356471294e+08 1.0301427872550675e+08 9.9416665184976280e+07 9.5560708823710307e+07 9.1494962577341869e+07 8.7284073874771848e+07 8.3005677930000782e+07 7.8744968107960925e+07 7.4587031085055202e+07 7.0608911143066794e+07 6.6874195564369485e+07 6.3428915912776969e+07 6.0296079799900256e+07 5.7480069953197941e+07 5.4971661405940697e+07 5.2750786198046364e+07 5.0792392674131125e+07 4.9069081226578325e+07 4.7555709316988513e+07 4.6227524417456150e+07 4.5064440068084411e+07 4.4046972388184823e+07 4.3160926092043109e+07 4.2391803893352300e+07 4.1727397273388125e+07 4.1158236227942914e+07 4.0674188459207200e+07 4.0265480385813683e+07 3.9925000758591294e+07 3.9643824402673930e+07 3.9415543910503067e+07 3.9232734182155058e+07 3.9089053828288876e+07 3.8975852027070932e+07 3.8884677672257878e+07 3.8809295984303206e+07 3.8743750923867591e+07 3.8682133636846177e+07 3.8638606078597099e+07 3.8594679597663313e+07 3.8549869588589914e+07 3.8502939422353901e+07 3.8454527284151368e+07 3.8403237091895610e+07 3.8350812605108112e+07 3.8292549760693341e+07 3.8230195981929742e+07 3.8162603857731305e+07 3.8088877401870318e+07 3.8007927841516316e+07 3.7918528649228297e+07 3.7818914105350077e+07 3.7709317949783303e+07 3.7585554487870313e+07 3.7446793887069307e+07 3.7291022729366802e+07 3.7116074258285873e+07 3.6919713991840392e+07 3.6699700655025750e+07 3.6453552105892919e+07 3.6181634797090158e+07 3.5879145274235874e+07 3.5547142214942314e+07 3.5186393644145153e+07 3.4799729140663020e+07 3.4391963041028909e+07 3.3972258902620241e+07 3.3554249562422272e+07 3.3160299043822687e+07 3.2818442970509488e+07 3.2572679390157327e+07 3.2484267849858675e+07 3.2642251650273006e+07 3.3176193117528021e+07 3.4282429361817062e+07 3.6271764709433764e+07 3.9667963926484674e+07 7.0605705642207647e+06 +1.0781893964655138e+01 1.2860857257823040e+08 1.2859572934986098e+08 1.2857392419904399e+08 1.2854483957229462e+08 1.2851460934530097e+08 1.2849315439200553e+08 1.2848505060074431e+08 1.2848267298361683e+08 1.2847795339117308e+08 1.2846876358685537e+08 1.2845543514514510e+08 1.2843746796742344e+08 1.2841392499031568e+08 1.2838385313282880e+08 1.2834624863366488e+08 1.2829988334739497e+08 1.2824328680626114e+08 1.2817475097217619e+08 1.2809227844952326e+08 1.2799351087912375e+08 1.2787568397771385e+08 1.2773549523288035e+08 1.2756835629270416e+08 1.2736637462278461e+08 1.2712111278859146e+08 1.2682833089132413e+08 1.2648306135517851e+08 1.2607756610567549e+08 1.2560239906330073e+08 1.2504674632607187e+08 1.2439840686613297e+08 1.2364372954353581e+08 1.2276758979814166e+08 1.2175343272824888e+08 1.2058341895349635e+08 1.1923868414759097e+08 1.1769978901159650e+08 1.1594737963455230e+08 1.1396313269715454e+08 1.1173098050011449e+08 1.0904240584451590e+08 1.0604578321716443e+08 1.0274380714407168e+08 9.9152525331500158e+07 9.5303662773017749e+07 9.1245743681313038e+07 8.7043340971401781e+07 8.2773966292957976e+07 7.8522644015207052e+07 7.4374259453944698e+07 7.0405642505324304e+07 6.6680170778873228e+07 6.3243690717097715e+07 6.0119077016081467e+07 5.7310629435553685e+07 5.4809084111418225e+07 5.2594375916868016e+07 5.0641482533774026e+07 4.8923052206726685e+07 4.7413993047251828e+07 4.6089609816307344e+07 4.4929864598380476e+07 4.3915324308760896e+07 4.3031830790844180e+07 4.2264926746860743e+07 4.1602437808619857e+07 4.1034920414950676e+07 4.0552271473236829e+07 4.0144745654778063e+07 3.9805252044239998e+07 3.9524891611419685e+07 3.9297275095363244e+07 3.9114998834844910e+07 3.8971739400703765e+07 3.8858870828454532e+07 3.8767966479258791e+07 3.8692809165933780e+07 3.8627459919773318e+07 3.8566027229353204e+07 3.8522630242728330e+07 3.8478835584261976e+07 3.8434160072407588e+07 3.8387370775719382e+07 3.8339103958002903e+07 3.8287967768303856e+07 3.8235700519388698e+07 3.8177612563767225e+07 3.8115445952845775e+07 3.8048056719477206e+07 3.7974551566767573e+07 3.7893844989902675e+07 3.7804714142925456e+07 3.7705398648073800e+07 3.7596131334937297e+07 3.7472739364127025e+07 3.7334395268875606e+07 3.7179091674532168e+07 3.7004668328313313e+07 3.6808897455144748e+07 3.6589544507331572e+07 3.6344134833755381e+07 3.6073033586403176e+07 3.5771452009536602e+07 3.5440445482692726e+07 3.5080779725647211e+07 3.4695275824073270e+07 3.4288733664080575e+07 3.3870289298156284e+07 3.3453534680888351e+07 3.3060766524327975e+07 3.2719936559601285e+07 3.2474910660965219e+07 3.2386764537634548e+07 3.2544274150062043e+07 3.3076612953047089e+07 3.4179528758914731e+07 3.6162893052847192e+07 3.9548898238002628e+07 7.0352988091716291e+06 +1.0786862287429397e+01 1.2830108181125265e+08 1.2828826876544984e+08 1.2826651502856094e+08 1.2823749708272691e+08 1.2820733400588547e+08 1.2818592223007959e+08 1.2817782659954779e+08 1.2817544066394304e+08 1.2817071537904213e+08 1.2816152689567649e+08 1.2814820520172216e+08 1.2813025063854285e+08 1.2810672747995655e+08 1.2807668386265606e+08 1.2803911719362637e+08 1.2799280084801076e+08 1.2793626615315078e+08 1.2786780711033651e+08 1.2778542869916737e+08 1.2768677540678908e+08 1.2756908631979930e+08 1.2742906303249124e+08 1.2726212323019867e+08 1.2706038482313235e+08 1.2681541995862439e+08 1.2652299344254550e+08 1.2617814533492860e+08 1.2577314867775099e+08 1.2529857073126483e+08 1.2474361323903768e+08 1.2409609343626538e+08 1.2334238145490958e+08 1.2246737742936549e+08 1.2145455499304371e+08 1.2028610751729240e+08 1.1894320798791490e+08 1.1740645912645575e+08 1.1565655365543440e+08 1.1367521893442442e+08 1.1144644085088049e+08 1.0876206853094782e+08 1.0577030859995063e+08 1.0247391027829911e+08 9.8888957942107782e+07 9.5047185385350764e+07 9.0997087810274258e+07 8.6803163400723562e+07 8.2542800142999932e+07 7.8300853466602579e+07 7.4162007554228336e+07 7.0202878297869936e+07 6.6486634139728203e+07 6.3058936967650272e+07 5.9942529083387494e+07 5.7141627722097509e+07 5.4646930463195011e+07 5.2438375227163836e+07 5.0490969143256426e+07 4.8777408329602011e+07 4.7272651525126517e+07 4.5952060707129896e+07 4.4795646432475522e+07 4.3784026315812998e+07 4.2903079259035096e+07 4.2138387864929467e+07 4.1477811838201106e+07 4.0911934000842690e+07 4.0430680394089393e+07 4.0024333872253641e+07 3.9685823804799885e+07 3.9406277239768341e+07 3.9179323019532502e+07 3.8997578868208341e+07 3.8854739273924053e+07 3.8742203068092257e+07 3.8651568017988622e+07 3.8576634486801729e+07 3.8511480534486957e+07 3.8450231947601698e+07 3.8406965183105730e+07 3.8363301993983105e+07 3.8318760618954502e+07 3.8272111814301081e+07 3.8223989927637622e+07 3.8173007327560715e+07 3.8120896895717964e+07 3.8062983360225342e+07 3.8001003415525794e+07 3.7933816529235095e+07 3.7860532086652704e+07 3.7780067842152454e+07 3.7691204621335596e+07 3.7592187373940013e+07 3.7483248022543892e+07 3.7360226547318287e+07 3.7222297841469556e+07 3.7067460557559431e+07 3.6893560929015703e+07 3.6698377869688831e+07 3.6479683541189037e+07 3.6235010763067238e+07 3.5964723390876919e+07 3.5664047326966710e+07 3.5334034662155405e+07 3.4975448817242660e+07 3.4591102407530710e+07 3.4185780907429159e+07 3.3768592938189201e+07 3.3353089681397937e+07 3.2961500718990054e+07 3.2621694113178100e+07 3.2377403919423360e+07 3.2289522501704760e+07 3.2446559196746934e+07 3.2977299630126420e+07 3.4076903895252690e+07 3.6054313135751881e+07 3.9430151606240384e+07 7.0101130468300469e+06 +1.0791830610203656e+01 1.2799414949123536e+08 1.2798136692402193e+08 1.2795966388377635e+08 1.2793071267594683e+08 1.2790061664366855e+08 1.2787924799574220e+08 1.2787116054430750e+08 1.2786876634969260e+08 1.2786403543446212e+08 1.2785484833414318e+08 1.2784153345353556e+08 1.2782359157587105e+08 1.2780008831274602e+08 1.2777007301982939e+08 1.2773254427383293e+08 1.2768627697228847e+08 1.2762980423956983e+08 1.2756142211885709e+08 1.2747913796887401e+08 1.2738059912621310e+08 1.2726304805168287e+08 1.2712319045098360e+08 1.2695645005108556e+08 1.2675495521496014e+08 1.2651028768838966e+08 1.2621821699121617e+08 1.2587379082042299e+08 1.2546929333946583e+08 1.2499530515593931e+08 1.2444104366629688e+08 1.2379434437520596e+08 1.2304159869037613e+08 1.2216773144112194e+08 1.2115624479037632e+08 1.1998936484827033e+08 1.1864830188780405e+08 1.1711370061156604e+08 1.1536630031670201e+08 1.1338787895843188e+08 1.1116247589821619e+08 1.0848230646157110e+08 1.0549540910734583e+08 1.0220458748120239e+08 9.8625962327095568e+07 9.4791275928213999e+07 9.0748994190528750e+07 8.6563540351596996e+07 8.2312178635974884e+07 7.8079595592365652e+07 7.3950274497884810e+07 7.0000617622671112e+07 6.6293584746867552e+07 6.2874653769145727e+07 5.9766435116859525e+07 5.6973063942104146e+07 5.4485199607334286e+07 5.2282783292813502e+07 5.0340851684444904e+07 4.8632148794535667e+07 4.7131683966371447e+07 4.5814876320856094e+07 4.4661784815121301e+07 4.3653077666440375e+07 4.2774670764663629e+07 4.2012186525267608e+07 4.1353518648318447e+07 4.0789276279054053e+07 4.0309414521522023e+07 3.9904244343357936e+07 3.9566715349955916e+07 3.9287980601169005e+07 3.9061686999533720e+07 3.8880473601398796e+07 3.8738052769231834e+07 3.8625848069002844e+07 3.8535481612858854e+07 3.8460771272587642e+07 3.8395812094743997e+07 3.8334747119450510e+07 3.8291610228297152e+07 3.8248078156165719e+07 3.8203670558345400e+07 3.8157161869009189e+07 3.8109184524811514e+07 3.8058355102357104e+07 3.8006401067625172e+07 3.7948661484593712e+07 3.7886867705616847e+07 3.7819882623908915e+07 3.7746818299629927e+07 3.7666595737723805e+07 3.7577999425519675e+07 3.7479279625737756e+07 3.7370667357349195e+07 3.7248015384326555e+07 3.7110500954180770e+07 3.6956128730448134e+07 3.6782751415380076e+07 3.6588154593891494e+07 3.6370117118939891e+07 3.6126179260333903e+07 3.5856703581778400e+07 3.5556930603070237e+07 3.5227909135671318e+07 3.4870400307535864e+07 3.4487208286336787e+07 3.4083104173383534e+07 3.3667169232319579e+07 3.3252913980848201e+07 3.2862501051555123e+07 3.2523715060924552e+07 3.2280158599587984e+07 3.2192541177537002e+07 3.2349106223083347e+07 3.2878252572244998e+07 3.3974554175093383e+07 3.5946024327827983e+07 3.9311723341919012e+07 6.9850130054339869e+06 +1.0796798932977914e+01 1.2768777554335178e+08 1.2767502299020185e+08 1.2765337046577367e+08 1.2762448605243641e+08 1.2759445697206488e+08 1.2757313139874059e+08 1.2756505214420292e+08 1.2756264974981084e+08 1.2755791326629664e+08 1.2754872761072384e+08 1.2753541960876891e+08 1.2751749048707937e+08 1.2749400719616237e+08 1.2746402031113409e+08 1.2742652958035631e+08 1.2738031142527165e+08 1.2732390076956837e+08 1.2725559570116921e+08 1.2717340596059331e+08 1.2707498173796235e+08 1.2695756887222494e+08 1.2681787718473421e+08 1.2665133644936942e+08 1.2645008548930624e+08 1.2620571566519091e+08 1.2591400122035810e+08 1.2556999748960505e+08 1.2516599976262343e+08 1.2469260200198275e+08 1.2413903726432522e+08 1.2349315932980128e+08 1.2274138088569759e+08 1.2186865145631412e+08 1.2085850172849618e+08 1.1969319053758952e+08 1.1835396541905403e+08 1.1682151301690660e+08 1.1507661914362757e+08 1.1310111226668398e+08 1.1087908510934517e+08 1.0820311906723304e+08 1.0522108413141851e+08 1.0193583810369995e+08 9.8363537794959724e+07 9.4535933667643204e+07 9.0501462047274828e+07 8.6324471011563212e+07 8.2082100927337095e+07 7.7858869522132695e+07 7.3739059396684140e+07 6.9798859581832498e+07 6.6101021700485572e+07 6.2690840226620026e+07 5.9590794231942885e+07 5.6804937225456253e+07 5.4323890690427274e+07 5.2127599278375827e+07 5.0191129339949541e+07 4.8487272801627636e+07 4.6991089587515950e+07 4.5678055889166787e+07 4.4528278991640247e+07 4.3522477618433043e+07 4.2646604576501638e+07 4.1886322006306522e+07 4.1229557525887854e+07 4.0666946543849953e+07 4.0188473155989923e+07 3.9784476373961829e+07 3.9447925990049087e+07 3.9170001009796709e+07 3.8944366352717310e+07 3.8763682354329236e+07 3.8621679208584830e+07 3.8509805154874563e+07 3.8419706589049585e+07 3.8345218849656314e+07 3.8280453928062096e+07 3.8219572073436424e+07 3.8176564707612485e+07 3.8133163400871828e+07 3.8088889221420906e+07 3.8042520271536961e+07 3.7994687082018100e+07 3.7944010426074132e+07 3.7892212369458340e+07 3.7834646272210754e+07 3.7773038159517653e+07 3.7706254341003716e+07 3.7633409544542998e+07 3.7553428016871527e+07 3.7465097897273354e+07 3.7366674747002371e+07 3.7258388684742548e+07 3.7136105222710095e+07 3.6999003956935421e+07 3.6845095545843281e+07 3.6672239143186912e+07 3.6478226986951530e+07 3.6260844603475399e+07 3.6017639692825198e+07 3.5748973531051427e+07 3.5450101215041235e+07 3.5122068286165208e+07 3.4765633585726596e+07 3.4383592856408618e+07 3.3980702864990011e+07 3.3566017590910442e+07 3.3153006996795509e+07 3.2763766946441147e+07 3.2425998833204612e+07 3.2183174136019446e+07 3.2095820001274377e+07 3.2251914662512474e+07 3.2779471203497041e+07 3.3872479003379308e+07 3.5838025999469332e+07 3.9193612756485634e+07 6.9599984139816137e+06 +1.0801767255752173e+01 1.2738195898661670e+08 1.2736923675238971e+08 1.2734763463278250e+08 1.2731881690855652e+08 1.2728885470029064e+08 1.2726757214532094e+08 1.2725950110497305e+08 1.2725709056976244e+08 1.2725234857974318e+08 1.2724316443055397e+08 1.2722986337212293e+08 1.2721194707652999e+08 1.2718848383408745e+08 1.2715852543983285e+08 1.2712107281601666e+08 1.2707490390899482e+08 1.2701855544438781e+08 1.2695032755709980e+08 1.2686823237292910e+08 1.2676992293912542e+08 1.2665264847655387e+08 1.2651312292707649e+08 1.2634678211575384e+08 1.2614577533381297e+08 1.2590170357301328e+08 1.2561034580958343e+08 1.2526676501681650e+08 1.2486326761576444e+08 1.2439046093091902e+08 1.2383759368646716e+08 1.2319253794383462e+08 1.2244172767360690e+08 1.2157013709468244e+08 1.2056132541257422e+08 1.1939758417342880e+08 1.1806019815064345e+08 1.1652989588949032e+08 1.1478750965853947e+08 1.1281491835399303e+08 1.1059626794854139e+08 1.0792450577664305e+08 1.0494733306215133e+08 1.0166766149472967e+08 9.8101683652423531e+07 9.4281157868039653e+07 9.0254490604383200e+07 8.6085954567103192e+07 8.1852566171485469e+07 7.7638674384933069e+07 7.3528361361993968e+07 6.9597603277152166e+07 6.5908944100683540e+07 6.2507495445388429e+07 5.9415605544452041e+07 5.6637246702424347e+07 5.4163002859645955e+07 5.1972822348913111e+07 5.0041801292966545e+07 4.8342779551536582e+07 4.6850867605703123e+07 4.5541598644405343e+07 4.4395128208241992e+07 4.3392225430324994e+07 4.2518879964088306e+07 4.1760793587334141e+07 4.1105927758523330e+07 4.0544944090183929e+07 4.0067855598750181e+07 3.9665029270630009e+07 3.9329455036200441e+07 3.9052337780525260e+07 3.8827360397115797e+07 3.8647204447633483e+07 3.8505617914742693e+07 3.8394073650121532e+07 3.8304242272421509e+07 3.8229976545138225e+07 3.8165405362670228e+07 3.8104706138835028e+07 3.8061827951055348e+07 3.8018557058874704e+07 3.7974415939737499e+07 3.7928186354249954e+07 3.7880496932470091e+07 3.7829972632793263e+07 3.7778330136201605e+07 3.7720937059111923e+07 3.7659514114348955e+07 3.7592931018821016e+07 3.7520305160956129e+07 3.7440564020608924e+07 3.7352499379144482e+07 3.7254372081976421e+07 3.7146411350864120e+07 3.7024495410785049e+07 3.6887806200467214e+07 3.6734360357182257e+07 3.6562023468848556e+07 3.6368594408665471e+07 3.6151865358474284e+07 3.5909391428448372e+07 3.5641532611355215e+07 3.5343558540719584e+07 3.5016511497266270e+07 3.4661148041674040e+07 3.4280255514341824e+07 3.3878576385934733e+07 3.3465137424831036e+07 3.3053368147461925e+07 3.2665297828632742e+07 3.2328544860933602e+07 3.2086449963914551e+07 3.1999358409685109e+07 3.2154983948951907e+07 3.2680954948652957e+07 3.3770677785647735e+07 3.5730317521732390e+07 3.9075819162084647e+07 6.9350690022296365e+06 +1.0806735578526432e+01 1.2707670074389336e+08 1.2706400803400378e+08 1.2704245614201197e+08 1.2701370493904503e+08 1.2698380953278807e+08 1.2696256993821146e+08 1.2695450712916499e+08 1.2695208851179618e+08 1.2694734107706144e+08 1.2693815849531032e+08 1.2692486444508184e+08 1.2690696104529001e+08 1.2688351792695922e+08 1.2685358810610707e+08 1.2681617367998399e+08 1.2677005412221076e+08 1.2671376796158798e+08 1.2664561738321072e+08 1.2656361690127808e+08 1.2646542242336728e+08 1.2634828655672881e+08 1.2620892736768445e+08 1.2604278673756534e+08 1.2584202443277955e+08 1.2559825109253180e+08 1.2530725043526216e+08 1.2496409307344219e+08 1.2456109656401472e+08 1.2408888160093835e+08 1.2353671258264467e+08 1.2289247985782285e+08 1.2214263868353797e+08 1.2127218797320180e+08 1.2026471544457141e+08 1.1910254534123217e+08 1.1776699964860553e+08 1.1623884877355154e+08 1.1449897138112642e+08 1.1252929671268125e+08 1.1031402387769362e+08 1.0764646601615411e+08 1.0467415528727588e+08 1.0140005700128447e+08 9.7840399204417899e+07 9.4026947792423204e+07 9.0008079084356636e+07 8.5847990204031974e+07 8.1623573522253007e+07 7.7419009309432328e+07 7.3318179505131721e+07 6.9396847810595870e+07 6.5717351047806688e+07 6.2324618531043053e+07 5.9240868170722418e+07 5.6469991503875948e+07 5.4002535262731224e+07 5.1818451670317948e+07 4.9892866727437004e+07 4.8198668245767288e+07 4.6711017238851719e+07 4.5405503819633849e+07 4.4262331711779684e+07 4.3262320361363597e+07 4.2391496197697982e+07 4.1635600548195124e+07 4.0982628634662487e+07 4.0423268213736951e+07 3.9947561151754096e+07 3.9545902340652861e+07 3.9211301800241262e+07 3.8934990229000621e+07 3.8710668451469399e+07 3.8531039202698201e+07 3.8389868211149246e+07 3.8278652879949525e+07 3.8189087989627980e+07 3.8115043686893582e+07 3.8050665727486141e+07 3.7990148645650767e+07 3.7947399289424531e+07 3.7904258461692393e+07 3.7860250045611739e+07 3.7814159450231239e+07 3.7766613410112463e+07 3.7716241057361275e+07 3.7664753703590609e+07 3.7607533181964561e+07 3.7546294907924674e+07 3.7479911996341608e+07 3.7407504489154719e+07 3.7328003090548895e+07 3.7240203214332923e+07 3.7142370975623906e+07 3.7034734702571459e+07 3.6913185297485046e+07 3.6776907036147185e+07 3.6623922518531069e+07 3.6452103749436207e+07 3.6259256219553798e+07 3.6043178748274796e+07 3.5801433835788205e+07 3.5534380195969112e+07 3.5237301958690785e+07 3.4911238153278321e+07 3.4556943065994792e+07 3.4177195657391138e+07 3.3776724140483402e+07 3.3364528145695385e+07 3.2953996851625334e+07 3.2567093123778570e+07 3.2231352575672451e+07 3.1989985519112919e+07 3.1903155840089362e+07 3.2058313517066177e+07 3.2582703233078167e+07 3.3669149928119376e+07 3.5622898266366564e+07 3.8958341871618472e+07 6.9102245006916756e+06 +1.0811703901300691e+01 1.2677199968367144e+08 1.2675933640181708e+08 1.2673783476503222e+08 1.2670914984917733e+08 1.2667932116922659e+08 1.2665812447663686e+08 1.2665006991603321e+08 1.2664764327464868e+08 1.2664289045672011e+08 1.2663370950348406e+08 1.2662042252562174e+08 1.2660253209099166e+08 1.2657910917227851e+08 1.2654920800648756e+08 1.2651183186836328e+08 1.2646576175993335e+08 1.2640953801544787e+08 1.2634146487279439e+08 1.2625955923754659e+08 1.2616147988129869e+08 1.2604448280137347e+08 1.2590529019331932e+08 1.2573934999882527e+08 1.2553883246745421e+08 1.2529535790130632e+08 1.2500471477041303e+08 1.2466198132736222e+08 1.2425948626955435e+08 1.2378786366712992e+08 1.2323639359985660e+08 1.2259298470929930e+08 1.2184411354199748e+08 1.2097480370550373e+08 1.1996867142375419e+08 1.1880807362309220e+08 1.1747436947616878e+08 1.1594837121058637e+08 1.1421100382835139e+08 1.1224424683238007e+08 1.1003235235641067e+08 1.0736899920960240e+08 1.0440155019238304e+08 1.0113302396853261e+08 9.7579683754225895e+07 9.3773302702324718e+07 8.9762226708541811e+07 8.5610577106801480e+07 8.1395122132628873e+07 7.7199873423682421e+07 7.3108512936981097e+07 6.9196592283993900e+07 6.5526241642463356e+07 6.2142208589531638e+07 5.9066581227459542e+07 5.6303170761130877e+07 5.3842487048066899e+07 5.1664486408874013e+07 4.9744324827866040e+07 4.8054938086361922e+07 4.6571537705563582e+07 4.5269770648686789e+07 4.4129888749886476e+07 4.3132761671561845e+07 4.2264452548198245e+07 4.1510742169580266e+07 4.0859659443409808e+07 4.0301918210915923e+07 3.9827589117716871e+07 3.9427094892163530e+07 3.9093465594724789e+07 3.8817957671571992e+07 3.8594289835346982e+07 3.8415185941569328e+07 3.8274429422001764e+07 3.8163542170272388e+07 3.8074243067971937e+07 3.8000419603481308e+07 3.7936234352200978e+07 3.7875898924584463e+07 3.7833278054157034e+07 3.7790266941616632e+07 3.7746390871998765e+07 3.7700438893354304e+07 3.7653035849639252e+07 3.7602815035347797e+07 3.7551482408092834e+07 3.7494433978307270e+07 3.7433379878784880e+07 3.7367196613297597e+07 3.7295006870110042e+07 3.7215744569129936e+07 3.7128208746778071e+07 3.7030670773588970e+07 3.6923358087420844e+07 3.6802174232576191e+07 3.6666305816082522e+07 3.6513781384701513e+07 3.6342479342814676e+07 3.6150211780843511e+07 3.5934784137879319e+07 3.5693766284146935e+07 3.5427515658870809e+07 3.5131330848177008e+07 3.4806247639184333e+07 3.4453018049839221e+07 3.4074412683432773e+07 3.3675145533599786e+07 3.3264189165752325e+07 3.2854892528756067e+07 3.2469152258154616e+07 3.2134421409619257e+07 3.1893780238027479e+07 3.1807211730472315e+07 3.1961902802069779e+07 3.2484715482733391e+07 3.3567894837650388e+07 3.5515767605797738e+07 3.8841180198794924e+07 6.8854646406366173e+06 +1.0816672224074949e+01 1.2646785444735990e+08 1.2645522106558158e+08 1.2643377023166145e+08 1.2640515136173263e+08 1.2637538930428678e+08 1.2635423545613627e+08 1.2634618916154981e+08 1.2634375455380413e+08 1.2633899641426757e+08 1.2632981715004250e+08 1.2631653730859789e+08 1.2629865990804531e+08 1.2627525726367550e+08 1.2624538483440675e+08 1.2620804707389784e+08 1.2616202651420482e+08 1.2610586529716742e+08 1.2603786971576199e+08 1.2595605907043688e+08 1.2585809499995078e+08 1.2574123689587483e+08 1.2560221108701937e+08 1.2543647158034422e+08 1.2523619911538059e+08 1.2499302367336008e+08 1.2470273848504354e+08 1.2436042944345713e+08 1.2395843639109464e+08 1.2348740678126933e+08 1.2293663638182205e+08 1.2229405213229595e+08 1.2154615187232783e+08 1.2067798390232176e+08 1.1967319294604281e+08 1.1851416859846853e+08 1.1718230719348942e+08 1.1565846273918638e+08 1.1392360651446883e+08 1.1195976820012766e+08 1.0975125284154470e+08 1.0709210477866286e+08 1.0412951716097273e+08 1.0086656173934190e+08 9.7319536603342548e+07 9.3520221857550681e+07 8.9516932697034344e+07 8.5373714458987072e+07 8.1167211154831499e+07 7.6981265855451137e+07 7.2899360768195555e+07 6.8996835799203083e+07 6.5335614985251941e+07 6.1960264727003336e+07 5.8892743831730261e+07 5.6136783606050327e+07 5.3682857364562929e+07 5.1510925731731325e+07 4.9596174779540226e+07 4.7911588276168592e+07 4.6432428225149229e+07 4.5134398366143398e+07 4.3997798570878975e+07 4.3003548621646054e+07 4.2137748287447929e+07 4.1386217732874550e+07 4.0737019474602714e+07 4.0180893378925778e+07 3.9707938800101027e+07 3.9308606233946145e+07 3.8975945733008094e+07 3.8701239425401501e+07 3.8478223869003683e+07 3.8299643987140514e+07 3.8159300872269876e+07 3.8048740847719416e+07 3.7959706835549481e+07 3.7886103624228612e+07 3.7822110567269988e+07 3.7761956307171538e+07 3.7719463577502623e+07 3.7676581831546426e+07 3.7632837752711862e+07 3.7587024018135086e+07 3.7539763586423770e+07 3.7489693903030738e+07 3.7438515586908326e+07 3.7381638786347516e+07 3.7320768366220191e+07 3.7254784210135713e+07 3.7182811645528913e+07 3.7103787799469158e+07 3.7016515321160711e+07 3.6919270822258689e+07 3.6812280853692777e+07 3.6691461566438399e+07 3.6556001893099427e+07 3.6403936311184488e+07 3.6233149607571274e+07 3.6041460454467140e+07 3.5826680893057130e+07 3.5586388143506378e+07 3.5320938374773502e+07 3.5025644589050062e+07 3.4701539340591960e+07 3.4349372385109343e+07 3.3971905991053715e+07 3.3573839970918089e+07 3.3164119897811338e+07 3.2756054598961461e+07 3.2371474658657257e+07 3.2037750795560647e+07 3.1797833557731904e+07 3.1711525519397624e+07 3.1865751239840414e+07 3.2386991124275725e+07 3.3466911921723127e+07 3.5408924913157046e+07 3.8724333458027266e+07 6.8607891540869614e+06 +1.0821640546849208e+01 1.2616426585724121e+08 1.2615166274508201e+08 1.2613026218541382e+08 1.2610170920266615e+08 1.2607201362866819e+08 1.2605090256918369e+08 1.2604286455812298e+08 1.2604042204151823e+08 1.2603565864175695e+08 1.2602648112683079e+08 1.2601320848532942e+08 1.2599534418758768e+08 1.2597196189192003e+08 1.2594211827998871e+08 1.2590481898595090e+08 1.2585884807363053e+08 1.2580274949427500e+08 1.2573483159878404e+08 1.2565311608525571e+08 1.2555526746321894e+08 1.2543854852236415e+08 1.2529968972896118e+08 1.2513415115950488e+08 1.2493412405124110e+08 1.2469124807968886e+08 1.2440132124565089e+08 1.2405943708324516e+08 1.2365794658423059e+08 1.2318751059209314e+08 1.2263744056914349e+08 1.2199568175829847e+08 1.2124875329470414e+08 1.2038172817124684e+08 1.1937827960471949e+08 1.1822082984387559e+08 1.1689081235810338e+08 1.1536912289518669e+08 1.1363677895108923e+08 1.1167586030043645e+08 1.0947072478771944e+08 1.0681578214261864e+08 1.0385805557430919e+08 1.0060066965500796e+08 9.7059957051437914e+07 9.3267704516652331e+07 8.9272196268547639e+07 8.5137401443255648e+07 8.0939839740530431e+07 7.6763185731875837e+07 7.2690722109326899e+07 6.8797577457991302e+07 6.5145470176971480e+07 6.1778786050027706e+07 5.8719355101121344e+07 5.5970829171053648e+07 5.3523645361716442e+07 5.1357768806497261e+07 4.9448415768303901e+07 4.7768618018646926e+07 4.6293688017608248e+07 4.4999386207199678e+07 4.3866060423818126e+07 4.2874680473086476e+07 4.2011382687842578e+07 4.1262026520266086e+07 4.0614708018905126e+07 4.0060193015723854e+07 3.9588609503114164e+07 3.9190435675540492e+07 3.8858741529140361e+07 3.8584834808313482e+07 3.8362469873416699e+07 3.8184412663002051e+07 3.8044481887605831e+07 3.7934248239708096e+07 3.7845478621204190e+07 3.7772095079236291e+07 3.7708293703774996e+07 3.7648320125581764e+07 3.7605955192400381e+07 3.7563202465251178e+07 3.7519590022219710e+07 3.7473914159884416e+07 3.7426795956594557e+07 3.7376876997438729e+07 3.7325852577914797e+07 3.7269146944978289e+07 3.7208459710227966e+07 3.7142674128025509e+07 3.7070918157903932e+07 3.6992132125404164e+07 3.6905122282861471e+07 3.6808170468768291e+07 3.6701502350386120e+07 3.6581046650216967e+07 3.6445994620743044e+07 3.6294386654233247e+07 3.6124113902800724e+07 3.5933001603033386e+07 3.5718868380203307e+07 3.5479298784560360e+07 3.5214647718995005e+07 3.4920242561920069e+07 3.4597112643872708e+07 3.4246005464350805e+07 3.3869674979459740e+07 3.3472806858683534e+07 3.3064319755407207e+07 3.2657482482947424e+07 3.2274059752805855e+07 3.1941340166928843e+07 3.1702144915872671e+07 3.1616096646074235e+07 3.1769858266835235e+07 3.2289529584947143e+07 3.3366200588505395e+07 3.5302369562304668e+07 3.8607800964468762e+07 6.8361977738172058e+06 +1.0826608869623467e+01 1.2586123402193125e+08 1.2584866003135259e+08 1.2582731026187100e+08 1.2579882307536587e+08 1.2576919382936822e+08 1.2574812550477374e+08 1.2574009579532458e+08 1.2573764542669858e+08 1.2573287682793590e+08 1.2572370112227155e+08 1.2571043574408433e+08 1.2569258461731020e+08 1.2566922274432480e+08 1.2563940802989021e+08 1.2560214729063280e+08 1.2555622612361056e+08 1.2550019029144673e+08 1.2543235020528658e+08 1.2535072996413173e+08 1.2525299695177069e+08 1.2513641735959671e+08 1.2499772579576263e+08 1.2483238841081133e+08 1.2463260694630155e+08 1.2439003078806086e+08 1.2410046271568787e+08 1.2375900390498157e+08 1.2335801650148885e+08 1.2288817474519581e+08 1.2233880579928885e+08 1.2169787321520887e+08 1.2095191742645527e+08 1.2008603611693290e+08 1.1908393098982392e+08 1.1792805693270224e+08 1.1659988452453449e+08 1.1508035121165851e+08 1.1335052064713243e+08 1.1139252261515667e+08 1.0919076764699447e+08 1.0654003071863693e+08 1.0358716481162812e+08 1.0033534705480796e+08 9.6800944396655515e+07 9.3015749936641380e+07 8.9028016640848503e+07 8.4901637241214514e+07 8.0713007040542513e+07 7.6545632179635897e+07 7.2482596070620134e+07 6.8598816362152770e+07 6.4955806318684570e+07 6.1597771665501505e+07 5.8546414153667957e+07 5.5805306589050584e+07 5.3364850189694509e+07 5.1205014801612549e+07 4.9301046980787583e+07 4.7626026518095426e+07 4.6155316303764641e+07 4.4864733407851830e+07 4.3734673558556803e+07 4.2746156488097355e+07 4.1885355022632822e+07 4.1138167814640231e+07 4.0492724367652602e+07 3.9939816419935897e+07 3.9469600531685151e+07 3.9072582527254842e+07 3.8741852297952414e+07 3.8468743138938360e+07 3.8247027170366012e+07 3.8069491293472476e+07 3.7929971794448532e+07 3.7820063674348809e+07 3.7731557754529521e+07 3.7658393299233876e+07 3.7594783093693897e+07 3.7534989712756738e+07 3.7492752232589349e+07 3.7450128177161470e+07 3.7406647015770055e+07 3.7361108654637530e+07 3.7314132297048084e+07 3.7264363656311005e+07 3.7213492719851322e+07 3.7156957793886438e+07 3.7096453251567714e+07 3.7030865708863616e+07 3.6959325750370517e+07 3.6880776891496301e+07 3.6794028977995284e+07 3.6697369060939744e+07 3.6591021927189767e+07 3.6470928835754409e+07 3.6336283353203751e+07 3.6185131770722978e+07 3.6015371588593878e+07 3.5824834589923561e+07 3.5611345966458149e+07 3.5372497578657232e+07 3.5108643067668736e+07 3.4815124148093082e+07 3.4492966935963564e+07 3.4142916680787191e+07 3.3767719048579186e+07 3.3372045603831641e+07 3.2964788152702864e+07 3.2559175602093279e+07 3.2176906968763296e+07 3.1845188957784873e+07 3.1606713750762451e+07 3.1520924550323293e+07 3.1674223320122521e+07 3.2192330292637050e+07 3.3265760246804975e+07 3.5196100927684925e+07 3.8491582034101248e+07 6.8116902333521666e+06 +1.0831577192397726e+01 1.2555875811830088e+08 1.2554621342626499e+08 1.2552491397318055e+08 1.2549649265019801e+08 1.2546692959039167e+08 1.2544590394888052e+08 1.2543788255909571e+08 1.2543542439491913e+08 1.2543065065838145e+08 1.2542147682167204e+08 1.2540821876975645e+08 1.2539038088176438e+08 1.2536703950492035e+08 1.2533725376767226e+08 1.2530003167095642e+08 1.2525416034622258e+08 1.2519818736977038e+08 1.2513042521534950e+08 1.2504890038592526e+08 1.2495128314293157e+08 1.2483484308319640e+08 1.2469631896103801e+08 1.2453118300513020e+08 1.2433164746868794e+08 1.2408937146299379e+08 1.2380016255545497e+08 1.2345912956409687e+08 1.2305864579207557e+08 1.2258939888281947e+08 1.2204073170657407e+08 1.2140062612813181e+08 1.2065564388177928e+08 1.1979090734100144e+08 1.1879014668855830e+08 1.1763584943573512e+08 1.1630952324454589e+08 1.1479214721907538e+08 1.1306483110889274e+08 1.1110975462377678e+08 1.0891138086910632e+08 1.0626484992143343e+08 1.0331684425010246e+08 1.0007059327596378e+08 9.6542497935389012e+07 9.2764357372970477e+07 8.8784393030311927e+07 8.4666421033738002e+07 8.0486712205134705e+07 7.6328604325202957e+07 7.2274981762089178e+07 6.8400551613540843e+07 6.4766622511535466e+07 6.1417220680475235e+07 5.8373920107820772e+07 5.5640214993475594e+07 5.3206470999209426e+07 5.1052662885982461e+07 4.9154067604337402e+07 4.7483812979380354e+07 4.6017312305049293e+07 4.4730439204864897e+07 4.3603637225596435e+07 4.2617975929661795e+07 4.1759664565783888e+07 4.1014640899648599e+07 4.0371067812977925e+07 3.9819762891010009e+07 3.9350911191514269e+07 3.8955046100170404e+07 3.8625277354993775e+07 3.8352963736658230e+07 3.8131895082350254e+07 3.7954879203660205e+07 3.7815769919981889e+07 3.7706186480554387e+07 3.7617943565805942e+07 3.7544997615829043e+07 3.7481578069638982e+07 3.7421964402399883e+07 3.7379854032453597e+07 3.7337358302485645e+07 3.7294008069284312e+07 3.7248606839214504e+07 3.7201771945367150e+07 3.7152153218169771e+07 3.7101435352030940e+07 3.7045070673442960e+07 3.6984748331684545e+07 3.6919358295279957e+07 3.6848033766860358e+07 3.6769721443032295e+07 3.6683234753393896e+07 3.6586865947330706e+07 3.6480838934594072e+07 3.6361107475638606e+07 3.6226867445497721e+07 3.6076171018373035e+07 3.5906922025572605e+07 3.5716958779135019e+07 3.5504113019663982e+07 3.5265983897904590e+07 3.5002923797488973e+07 3.4710288729503408e+07 3.4389101604656368e+07 3.4040105428351715e+07 3.3666037598925248e+07 3.3271555613942645e+07 3.2865524504521374e+07 3.2461133378427006e+07 3.2080015735346623e+07 3.1749296602837294e+07 3.1511539501342293e+07 3.1426008672588881e+07 3.1578845837485742e+07 3.2095392675865807e+07 3.3165590306136932e+07 3.5090118384554587e+07 3.8375675983606450e+07 6.7872662669653781e+06 +1.0836545515171984e+01 1.2525683703434655e+08 1.2524432284200059e+08 1.2522307297681518e+08 1.2519471757746276e+08 1.2516522059306172e+08 1.2514423758411923e+08 1.2513622453227486e+08 1.2513375862869032e+08 1.2512897981552649e+08 1.2511980790696959e+08 1.2510655724393430e+08 1.2508873266229126e+08 1.2506541185453047e+08 1.2503565517367342e+08 1.2499847180639112e+08 1.2495265042040910e+08 1.2489674040716164e+08 1.2482905630592583e+08 1.2474762702640952e+08 1.2465012571095690e+08 1.2453382536560798e+08 1.2439546889501941e+08 1.2423053461035299e+08 1.2403124528322884e+08 1.2378926976576349e+08 1.2350042042200749e+08 1.2315981371244986e+08 1.2275983410231614e+08 1.2229118264442307e+08 1.2174321792238276e+08 1.2110394011890838e+08 1.2035993227164654e+08 1.1949634144224566e+08 1.1849692628525044e+08 1.1734420692068826e+08 1.1601972806721364e+08 1.1450451044506142e+08 1.1277970983994070e+08 1.1082755580324128e+08 1.0863256390140788e+08 1.0599023916362831e+08 1.0304709326478192e+08 9.9806407654028639e+07 9.6284616962355077e+07 9.2513526079924509e+07 8.8541324652088135e+07 8.4431752000416324e+07 8.0260954383714929e+07 7.6112101294297576e+07 7.2067878293683439e+07 6.8202782313912034e+07 6.4577917856916606e+07 6.1237132202605434e+07 5.8201872082451992e+07 5.5475553518409960e+07 5.3048506941593744e+07 5.0900712229308933e+07 4.9007476826838255e+07 4.7341976608196050e+07 4.5879675243728526e+07 4.4596502835756965e+07 4.3472950676311411e+07 4.2490138061488852e+07 4.1634310592022493e+07 4.0891445059720472e+07 4.0249737647766329e+07 3.9700031729158908e+07 3.9232540789122418e+07 3.8837825706080951e+07 3.8509016016625553e+07 3.8237495921577908e+07 3.8017072932643272e+07 3.7840575719394870e+07 3.7701875592145778e+07 3.7592615987951949e+07 3.7504635386139318e+07 3.7431907361293510e+07 3.7368677964992762e+07 3.7309243528962217e+07 3.7267259927186154e+07 3.7224892177164152e+07 3.7181672519515999e+07 3.7136408051084474e+07 3.7089714239916466e+07 3.7040245022219427e+07 3.6989679814625837e+07 3.6933484924821399e+07 3.6873344292782724e+07 3.6808151230684094e+07 3.6737041551994756e+07 3.6658965126086362e+07 3.6572738956641212e+07 3.6476660477241620e+07 3.6370952723748848e+07 3.6251581923177347e+07 3.6117746253308669e+07 3.5967503755512379e+07 3.5798764575079724e+07 3.5609373535436384e+07 3.5397168908368737e+07 3.5159757115057595e+07 3.4897489285975359e+07 3.4605735688861370e+07 3.4285516038238503e+07 3.3937571101612926e+07 3.3564630031792633e+07 3.3171336297273479e+07 3.2766528226353895e+07 3.2363355234616678e+07 3.1983385481978577e+07 3.1653662537385114e+07 3.1416621607133362e+07 3.1331348453974251e+07 3.1483725257254522e+07 3.1998716163833220e+07 3.3065690176591724e+07 3.4984421308819547e+07 3.8260082130442970e+07 6.7629256096774358e+06 +1.0841513837946243e+01 1.2495547173438881e+08 1.2494298704180457e+08 1.2492178705443135e+08 1.2489349750905541e+08 1.2486406651656109e+08 1.2484312609011379e+08 1.2483512139460608e+08 1.2483264780720453e+08 1.2482786397826630e+08 1.2481869405684383e+08 1.2480545084512898e+08 1.2478763963689691e+08 1.2476433947083718e+08 1.2473461192501548e+08 1.2469746737348589e+08 1.2465169602178015e+08 1.2459584907850653e+08 1.2452824315062630e+08 1.2444690955791116e+08 1.2434952432662095e+08 1.2423336387605138e+08 1.2409517526490812e+08 1.2393044289112635e+08 1.2373140005177221e+08 1.2348972535457096e+08 1.2320123596920086e+08 1.2286105599911016e+08 1.2246158107513310e+08 1.2199352566618240e+08 1.2144626407492182e+08 1.2080781480671671e+08 1.2006478220447485e+08 1.1920233801620136e+08 1.1820426936129534e+08 1.1705312895268050e+08 1.1573049853870554e+08 1.1421744041461429e+08 1.1249515634142135e+08 1.1054592562769277e+08 1.0835431618884644e+08 1.0571619785545780e+08 1.0277791122868900e+08 9.9542789522623941e+07 9.6027300770627975e+07 9.2263255310037673e+07 8.8298810720402166e+07 8.4197629320251405e+07 8.0035732725295976e+07 7.5896122212412477e+07 7.1861284775046319e+07 6.8005507565214247e+07 6.4389691456379466e+07 6.1057505339757025e+07 5.8030269196948878e+07 5.5311321298378378e+07 5.2890957168871947e+07 5.0749162001950927e+07 4.8861273837080754e+07 4.7200516610898010e+07 4.5742404342743635e+07 4.4462923538689479e+07 4.3342613162685961e+07 4.2362642148044579e+07 4.1509292376835026e+07 4.0768579580021515e+07 4.0128733165643573e+07 3.9580622235323310e+07 3.9114488631655291e+07 3.8720920657584280e+07 3.8393067599930830e+07 3.8122339014582425e+07 3.7902560045226023e+07 3.7726580167274468e+07 3.7588288139600955e+07 3.7479351526928850e+07 3.7391632547344953e+07 3.7319121868675008e+07 3.7256082113917388e+07 3.7196826427623048e+07 3.7154969252750419e+07 3.7112729137865484e+07 3.7069639703908600e+07 3.7024511628548890e+07 3.6977958519818567e+07 3.6928638408467405e+07 3.6878225448521465e+07 3.6822199889885038e+07 3.6762240477835841e+07 3.6697243859166563e+07 3.6626348451193929e+07 3.6548507287413180e+07 3.6462540936048850e+07 3.6366752000679679e+07 3.6261362646580227e+07 3.6142351532385126e+07 3.6008919133040175e+07 3.5859129341240041e+07 3.5690898599259846e+07 3.5502078224335887e+07 3.5290513001811884e+07 3.5053816603640974e+07 3.4792338911222413e+07 3.4501464409467623e+07 3.4182209625807121e+07 3.3835313095780462e+07 3.3463495749061357e+07 3.3071387062762361e+07 3.2667798734304938e+07 3.2265840593972597e+07 3.1887015638760254e+07 3.1558286197410073e+07 3.1321959508329637e+07 3.1236943336159453e+07 3.1388861018430542e+07 3.1902300186355092e+07 3.2966059268988054e+07 3.4879009077041350e+07 3.8144799792882472e+07 6.7386679972543567e+06 +1.0846482160720502e+01 1.2465466201742108e+08 1.2464220636159252e+08 1.2462105587999921e+08 1.2459283210934570e+08 1.2456346703780608e+08 1.2454256914344102e+08 1.2453457282237919e+08 1.2453209160648036e+08 1.2452730282251959e+08 1.2451813494690053e+08 1.2450489924841681e+08 1.2448710148040584e+08 1.2446382202814360e+08 1.2443412369539197e+08 1.2439701804534140e+08 1.2435129682274696e+08 1.2429551305521788e+08 1.2422798542012639e+08 1.2414674764964591e+08 1.2404947865778436e+08 1.2393345828040735e+08 1.2379543773457608e+08 1.2363090750901584e+08 1.2343211143271849e+08 1.2319073788444413e+08 1.2290260884790754e+08 1.2256285606973359e+08 1.2216388635052504e+08 1.2169642758110778e+08 1.2114986978925890e+08 1.2051224980727947e+08 1.1977019328533578e+08 1.1890889665572634e+08 1.1791217549515191e+08 1.1676261509361891e+08 1.1544183420249337e+08 1.1393093664991376e+08 1.1221117011185503e+08 1.1026486356927913e+08 1.0807663717392753e+08 1.0544272540518554e+08 1.0250929751274456e+08 9.9279738213445529e+07 9.5770548651638642e+07 9.2013544314776450e+07 8.8056850448030055e+07 8.3964052171167210e+07 7.9811046377966776e+07 7.5680666204701275e+07 7.1655200315608770e+07 6.7808726469211519e+07 6.4201942411738873e+07 6.0878339200080737e+07 5.7859110571228251e+07 5.5147517468522735e+07 5.2733820833579503e+07 5.0598011374851063e+07 4.8715457824322432e+07 4.7059432194554470e+07 4.5605498825777546e+07 4.4329700552658036e+07 4.3212623937598661e+07 4.2235487454584435e+07 4.1384609196447320e+07 4.0646043746497571e+07 4.0008053661000013e+07 3.9461533711167090e+07 3.8996754027145855e+07 3.8604330268013388e+07 3.8277431422765695e+07 3.8007492337312169e+07 3.7788355744923286e+07 3.7612891874647081e+07 3.7475006891833164e+07 3.7366392428639919e+07 3.7278934381980896e+07 3.7206640471818320e+07 3.7143789851288579e+07 3.7084712434325866e+07 3.7042981345858045e+07 3.7000868522073023e+07 3.6957908960674018e+07 3.6912916910579361e+07 3.6866504124903455e+07 3.6817332717650011e+07 3.6767071595352612e+07 3.6711214911248460e+07 3.6651436230559066e+07 3.6586635525590077e+07 3.6515953810548119e+07 3.6438347274550632e+07 3.6352640040656768e+07 3.6257139868410483e+07 3.6152068055690236e+07 3.6033415658043988e+07 3.5900385441847511e+07 3.5751047135381430e+07 3.5583323460925378e+07 3.5395072212009452e+07 3.5184144670004345e+07 3.4948161737815090e+07 3.4687472052154981e+07 3.4397474275392994e+07 3.4079181757117465e+07 3.3733330806888655e+07 3.3362634153319106e+07 3.2971707319973465e+07 3.2569335445171259e+07 3.2168588880471591e+07 3.1790905636432666e+07 3.1463167019503169e+07 3.1227552645767994e+07 3.1142792761480052e+07 3.1294252560617682e+07 3.1806144173884656e+07 3.2866696994788464e+07 3.4773881066618063e+07 3.8029828289909266e+07 6.7144931662059547e+06 +1.0851450483494760e+01 1.2435440650699972e+08 1.2434198044150117e+08 1.2432087923985232e+08 1.2429272105178390e+08 1.2426342183121380e+08 1.2424256641737880e+08 1.2423457848868784e+08 1.2423208969939815e+08 1.2422729602113070e+08 1.2421813024967152e+08 1.2420490212609038e+08 1.2418711786457023e+08 1.2416385919782606e+08 1.2413419015565616e+08 1.2409712349215962e+08 1.2405145249269553e+08 1.2399573200591406e+08 1.2392828278151952e+08 1.2384714096778612e+08 1.2374998836909595e+08 1.2363410824166481e+08 1.2349625596478395e+08 1.2333192812233312e+08 1.2313337908168457e+08 1.2289230700730106e+08 1.2260453870584871e+08 1.2226521356714709e+08 1.2186674956539352e+08 1.2139988801948717e+08 1.2085403468760744e+08 1.2021724473352106e+08 1.1947616511633795e+08 1.1861601695078793e+08 1.1762064426256365e+08 1.1647266490286402e+08 1.1515373459920116e+08 1.1364499867075983e+08 1.1192775064705744e+08 1.0998436909735805e+08 1.0779952629689386e+08 1.0516982121862946e+08 1.0224125148596528e+08 9.9017253056489110e+07 9.5514359895214334e+07 9.1764392343979403e+07 8.7815443046727911e+07 8.3731019730260029e+07 7.9586894489263296e+07 7.5465732395741016e+07 7.1449624024863943e+07 6.7612438127925634e+07 6.4014669825010285e+07 6.0699632892218553e+07 5.7688395325525016e+07 5.4984141164567232e+07 5.2577097088968903e+07 5.0447259519723319e+07 4.8570027978746183e+07 4.6918722567027666e+07 4.5468957917257376e+07 4.4196833117389403e+07 4.3082982254583538e+07 4.2108673247092038e+07 4.1260260327900507e+07 4.0523836845838994e+07 3.9887698429020822e+07 3.9342765459233761e+07 3.8879336284343019e+07 3.8488053851467475e+07 3.8162106803717412e+07 3.7892955212174930e+07 3.7674459357274987e+07 3.7499510169664763e+07 3.7362031179022767e+07 3.7253738025001220e+07 3.7166540223420575e+07 3.7094462505250998e+07 3.7031800512798451e+07 3.6972900885770433e+07 3.6931295543886177e+07 3.6889309667935081e+07 3.6846479628754139e+07 3.6801623236960590e+07 3.6755350395740151e+07 3.6706327291230261e+07 3.6656217597464852e+07 3.6600529332313597e+07 3.6540930895370454e+07 3.6476325575556941e+07 3.6405856976921253e+07 3.6328484435700417e+07 3.6243035620258659e+07 3.6147823431964248e+07 3.6043068304478921e+07 3.5924773655646339e+07 3.5792144537610181e+07 3.5643256498483986e+07 3.5476038523626000e+07 3.5288354865380190e+07 3.5078063283575416e+07 3.4842791892511934e+07 3.4582888088275813e+07 3.4293764671416618e+07 3.3976431822613649e+07 3.3631623631521657e+07 3.3262044647832155e+07 3.2872296479168329e+07 3.2471137776409391e+07 3.2071599518752281e+07 3.1695054906338986e+07 3.1368304440899443e+07 3.1133400460889257e+07 3.1048896172926798e+07 3.1199899324125808e+07 3.1710247557490841e+07 3.2767602766145416e+07 3.4669036655527756e+07 3.7915166941312775e+07 6.6904008537842045e+06 +1.0856418806269019e+01 1.2405470542030974e+08 1.2404230828186819e+08 1.2402125693443516e+08 1.2399316401322912e+08 1.2396393056826222e+08 1.2394311758213173e+08 1.2393513806347080e+08 1.2393264175554535e+08 1.2392784324343519e+08 1.2391867963405244e+08 1.2390545914674018e+08 1.2388768845784184e+08 1.2386445064782532e+08 1.2383481097320217e+08 1.2379778338073163e+08 1.2375216269773579e+08 1.2369650559560986e+08 1.2362913489913444e+08 1.2354808917515779e+08 1.2345105312186280e+08 1.2333531341945036e+08 1.2319762961333884e+08 1.2303350438630298e+08 1.2283520265093611e+08 1.2259443237183043e+08 1.2230702518745998e+08 1.2196812813091065e+08 1.2157017035359693e+08 1.2110390660816330e+08 1.2055875838911606e+08 1.1992279919553144e+08 1.1918269729692468e+08 1.1832369848828568e+08 1.1732967523621769e+08 1.1618327793704464e+08 1.1486619926693159e+08 1.1335962599397612e+08 1.1164489744035466e+08 1.0970444167889568e+08 1.0752298299567719e+08 1.0489748469951242e+08 1.0197377251521914e+08 9.8755333379860654e+07 9.5258733789689437e+07 9.1515798646297276e+07 8.7574587727264091e+07 8.3498531173757091e+07 7.9363276206288978e+07 7.5251319909848422e+07 7.1244555011883408e+07 6.7416641643248796e+07 6.3827872798381284e+07 6.0521385525148094e+07 5.7518122580712609e+07 5.4821191522741266e+07 5.2420785088887155e+07 5.0296905608888663e+07 4.8424983491153695e+07 4.6778386936864316e+07 4.5332780842404984e+07 4.4064320473344095e+07 4.2953687368042193e+07 4.1982198792347118e+07 4.1136245048971109e+07 4.0401958165520959e+07 3.9767666765651286e+07 3.9224316782757640e+07 3.8762234712744936e+07 3.8372090722835079e+07 3.8047093062191680e+07 3.7778726962353542e+07 3.7560870208593771e+07 3.7386434381192014e+07 3.7249360332158223e+07 3.7141387648682147e+07 3.7054449405758053e+07 3.6982587304315582e+07 3.6920113434808120e+07 3.6861391119421802e+07 3.6819911185080208e+07 3.6778051914415397e+07 3.6735351047916807e+07 3.6690629948231578e+07 3.6644496673712313e+07 3.6595621471449383e+07 3.6545662797968693e+07 3.6490142497150339e+07 3.6430723817434497e+07 3.6366313355411544e+07 3.6296057297939308e+07 3.6218918119937658e+07 3.6133727025410213e+07 3.6038802043525219e+07 3.5934362747027621e+07 3.5816424881384782e+07 3.5684195778922364e+07 3.5535756791813299e+07 3.5369043151612625e+07 3.5181925552050956e+07 3.4972268213995963e+07 3.4737706443370424e+07 3.4478586399914742e+07 3.4190334982991472e+07 3.3873959213440634e+07 3.3530190967013445e+07 3.3161726636537801e+07 3.2773153951283675e+07 3.2373205146169476e+07 3.1974871934056301e+07 3.1599462880526349e+07 3.1273697899493795e+07 3.1039502395798068e+07 3.0955253014108397e+07 3.1105800749821972e+07 3.1614609768988047e+07 3.2668775995859973e+07 3.4564475222507834e+07 3.7800815067668341e+07 6.6663907979816031e+06 +1.0861387129043278e+01 1.2375555805156134e+08 1.2374319037513073e+08 1.2372218858862981e+08 1.2369416067301698e+08 1.2366499291718085e+08 1.2364422230491613e+08 1.2363625121358697e+08 1.2363374744158246e+08 1.2362894415587442e+08 1.2361978276626195e+08 1.2360656997632356e+08 1.2358881292568310e+08 1.2356559604299653e+08 1.2353598581236412e+08 1.2349899737471691e+08 1.2345342710077138e+08 1.2339783348643430e+08 1.2333054143394579e+08 1.2324959193163103e+08 1.2315267257445854e+08 1.2303707347029705e+08 1.2289955833462296e+08 1.2273563595307063e+08 1.2253758178961952e+08 1.2229711362391114e+08 1.2201006793426895e+08 1.2167159939764714e+08 1.2127414834579977e+08 1.2080848297125706e+08 1.2026404050996386e+08 1.1962891280015057e+08 1.1888978942346972e+08 1.1803194085232100e+08 1.1703926798601134e+08 1.1589445374996564e+08 1.1457922774096483e+08 1.1307481813400425e+08 1.1136260998268132e+08 1.0942508077846940e+08 1.0724700670591165e+08 1.0462571524954130e+08 1.0170685996551362e+08 9.8493978509856448e+07 9.5003669621575758e+07 9.1267762468771279e+07 8.7334283699007913e+07 8.3266585676905960e+07 7.9140190675160602e+07 7.5037427870991349e+07 7.1039992385788932e+07 6.7221336117263228e+07 6.3641550434374154e+07 6.0343596208227806e+07 5.7348291458089538e+07 5.4658667679848552e+07 5.2264883987874940e+07 5.0146948815409347e+07 4.8280323553050205e+07 4.6638424513356104e+07 4.5196966827143490e+07 4.3932161861793488e+07 4.2824738532990836e+07 4.1856063357886888e+07 4.1012562638179705e+07 4.0280406993798725e+07 3.9647957967571825e+07 3.9106186985733256e+07 3.8645448622681081e+07 3.8256440197747536e+07 3.7932389518344328e+07 3.7664806911763474e+07 3.7447587625880644e+07 3.7273663838877298e+07 3.7136993682959311e+07 3.7029340633137509e+07 3.6942661263833120e+07 3.6871014205094822e+07 3.6808727954545811e+07 3.6750182473485820e+07 3.6708827608361125e+07 3.6667094601247407e+07 3.6624522558601394e+07 3.6579936385683022e+07 3.6533942300935417e+07 3.6485214601279572e+07 3.6435406540795021e+07 3.6380053750695363e+07 3.6320814342746049e+07 3.6256598212240979e+07 3.6186554121967897e+07 3.6109647676935978e+07 3.6024713607342355e+07 3.5930075056112699e+07 3.5825950738246918e+07 3.5708368692295380e+07 3.5576538525143959e+07 3.5428547377393730e+07 3.5262336709937364e+07 3.5075783640428923e+07 3.4866758833334908e+07 3.4632904766694427e+07 3.4374566368048243e+07 3.4087184596263871e+07 3.3771763321447358e+07 3.3429032211412046e+07 3.3061679524101958e+07 3.2674279147943296e+07 3.2275536973197542e+07 3.1878405552377418e+07 3.1504128991693318e+07 3.1179346833789989e+07 3.0945857893228926e+07 3.0861862729253151e+07 3.1011956279239658e+07 3.1519230240745023e+07 3.2570216097416960e+07 3.4460196147047333e+07 3.7686771990279742e+07 6.6424627375295321e+06 +1.0866355451817537e+01 1.2345696382031384e+08 1.2344462593864207e+08 1.2342367371785574e+08 1.2339571071230426e+08 1.2336660854259913e+08 1.2334588024948393e+08 1.2333791760247888e+08 1.2333540642103460e+08 1.2333059842163974e+08 1.2332143930922720e+08 1.2330823427724624e+08 1.2329049093008500e+08 1.2326729504518040e+08 1.2323771433446975e+08 1.2320076513474661e+08 1.2315524536161216e+08 1.2309971533740009e+08 1.2303250204388502e+08 1.2295164889385481e+08 1.2285484638210218e+08 1.2273938804773200e+08 1.2260204178014092e+08 1.2243832247160825e+08 1.2224051614392352e+08 1.2200035040609239e+08 1.2171366658492361e+08 1.2137562700079174e+08 1.2097868316987532e+08 1.2051361672988187e+08 1.1996988066323268e+08 1.1933558515148354e+08 1.1859744108931825e+08 1.1774074362398930e+08 1.1674942207919860e+08 1.1560619189236122e+08 1.1429281955380428e+08 1.1279057460257903e+08 1.1108088776222818e+08 1.0914628585831124e+08 1.0697159686086631e+08 1.0435451226818858e+08 1.0144051319988616e+08 9.8233187771017358e+07 9.4749166676024228e+07 9.1020283057291552e+07 8.7094530170503765e+07 8.3035182414349586e+07 7.8917637041810155e+07 7.4824055402675927e+07 7.0835935255437538e+07 6.7026520652003050e+07 6.3455701835682273e+07 6.0166264051091716e+07 5.7178901079423137e+07 5.4496568773427516e+07 5.2109392940999061e+07 4.9997388313012838e+07 4.8136047356635749e+07 4.6498834506628975e+07 4.5061515098162048e+07 4.3800356524784885e+07 4.2696135005358905e+07 4.1730266212008841e+07 4.0889212374876402e+07 4.0159182619667932e+07 3.9528571332290158e+07 3.8988375372975551e+07 3.8528977325236909e+07 3.8141101592654504e+07 3.7817995493107498e+07 3.7551194385156773e+07 3.7334610937115312e+07 3.7161197873178348e+07 3.7024930563907593e+07 3.6917596312532954e+07 3.6831175133316457e+07 3.6759742544416174e+07 3.6697643409962393e+07 3.6639274286949933e+07 3.6598044153486617e+07 3.6556437068875171e+07 3.6513993502037242e+07 3.6469541891316541e+07 3.6423686620237440e+07 3.6375106024467178e+07 3.6325448170544691e+07 3.6270262438551664e+07 3.6211201817994662e+07 3.6147179493940517e+07 3.6077346798131995e+07 3.6000672457222186e+07 3.5915994718109563e+07 3.5821641823447518e+07 3.5717831633671567e+07 3.5600604446049087e+07 3.5469172136360526e+07 3.5321627617978990e+07 3.5155918564262666e+07 3.4969928499576204e+07 3.4761534514493041e+07 3.4528386239585713e+07 3.4270827374369986e+07 3.3984312898130201e+07 3.3669843539185755e+07 3.3328146763383552e+07 3.2961902715818048e+07 3.2575671481412616e+07 3.2178132676990975e+07 3.1782199800282598e+07 3.1409052673129477e+07 3.1085250682984412e+07 3.0852466396529745e+07 3.0768724763275135e+07 3.0918365354601003e+07 3.1424108405825935e+07 3.2471922484977625e+07 3.4356198809247077e+07 3.7573037031313732e+07 6.6186164118966497e+06 +1.0871323774591795e+01 1.2315892335801114e+08 1.2314661501028964e+08 1.2312571194211948e+08 1.2309781381313692e+08 1.2306877710548772e+08 1.2304809107667454e+08 1.2304013689064279e+08 1.2303761835424073e+08 1.2303280570105870e+08 1.2302364892257755e+08 1.2301045170908298e+08 1.2299272213029587e+08 1.2296954731303118e+08 1.2293999619764619e+08 1.2290308631835741e+08 1.2285761713707778e+08 1.2280215080431893e+08 1.2273501638370459e+08 1.2265425971533133e+08 1.2255757419697522e+08 1.2244225680221798e+08 1.2230507959820651e+08 1.2214156358784890e+08 1.2194400535688952e+08 1.2170414235793287e+08 1.2141782077469066e+08 1.2108021057102402e+08 1.2068377445052117e+08 1.2021930750186944e+08 1.1967627845919132e+08 1.1904281585067767e+08 1.1830565188509938e+08 1.1745010638178532e+08 1.1646013708013546e+08 1.1531849191271809e+08 1.1400697423540592e+08 1.1250689490888239e+08 1.1079973026489563e+08 1.0886805637814964e+08 1.0669675289162967e+08 1.0408387515267771e+08 1.0117473157929704e+08 9.7972960486128509e+07 9.4495224236488938e+07 9.0773359656409398e+07 8.6855326349018738e+07 8.2804320559610635e+07 7.8695614451338917e+07 7.4611201628164798e+07 7.0632382729715317e+07 6.6832194349756248e+07 6.3270326105270319e+07 5.9989388163982809e+07 5.7009950567059398e+07 5.4334893941405199e+07 5.1954311104129165e+07 4.9848223276139781e+07 4.7992154094969079e+07 4.6359616127341405e+07 4.4926424882957295e+07 4.3668903705029681e+07 4.2567876041773245e+07 4.1604806623805456e+07 4.0766193539198428e+07 4.0038284332963109e+07 3.9409506158075921e+07 3.8870881250086464e+07 3.8412820132196113e+07 3.8026074224706151e+07 3.7703910308175683e+07 3.7437888707996853e+07 3.7221939470839843e+07 3.7049035815244131e+07 3.6913170308358617e+07 3.6806154021871269e+07 3.6719990350573197e+07 3.6648771659938008e+07 3.6586859139669120e+07 3.6528665899536133e+07 3.6487560160903476e+07 3.6446078658556044e+07 3.6403763220237002e+07 3.6359445807934299e+07 3.6313728975287870e+07 3.6265295085545532e+07 3.6215787032621607e+07 3.6160767907125831e+07 3.6101885590604790e+07 3.6038056549075998e+07 3.5968434676247425e+07 3.5891991812052928e+07 3.5807569710488588e+07 3.5713501700011492e+07 3.5610004789665848e+07 3.5493131501112908e+07 3.5362095973366864e+07 3.5214996877044030e+07 3.5049788081125565e+07 3.4864359499355271e+07 3.4656594631020226e+07 3.4424150239776894e+07 3.4167368801319219e+07 3.3881719276145361e+07 3.3568199259927921e+07 3.3227534022346843e+07 3.2862395617690101e+07 3.2477330364678171e+07 3.2080991677648246e+07 3.1686254105076198e+07 3.1314233358845867e+07 3.0991408886909433e+07 3.0759327349737119e+07 3.0675838561663304e+07 3.0825027418706637e+07 3.1329243697996985e+07 3.2373894573398925e+07 3.4252482590055585e+07 3.7459609513671309e+07 6.5948515612872411e+06 +1.0876292097366054e+01 1.2286143601637641e+08 1.2284915651569676e+08 1.2282830297936864e+08 1.2280046965530327e+08 1.2277149826387395e+08 1.2275085444384082e+08 1.2274290873541409e+08 1.2274038289834248e+08 1.2273556565100357e+08 1.2272641126321824e+08 1.2271322192821452e+08 1.2269550618228196e+08 1.2267235250204393e+08 1.2264283105686440e+08 1.2260596057983249e+08 1.2256054208080088e+08 1.2250513954002227e+08 1.2243808410533077e+08 1.2235742404662372e+08 1.2226085566807042e+08 1.2214567938102175e+08 1.2200867143410124e+08 1.2184535894476408e+08 1.2164804906852435e+08 1.2140848911602965e+08 1.2112253013592871e+08 1.2078534973560815e+08 1.2038942180961591e+08 1.1992555490248443e+08 1.1938323350518528e+08 1.1875060449594688e+08 1.1801442139857928e+08 1.1716002870125197e+08 1.1617141255029371e+08 1.1503135335659961e+08 1.1372169131317848e+08 1.1222377855952176e+08 1.1051913697390763e+08 1.0859039179526006e+08 1.0642247422692239e+08 1.0381380329826830e+08 1.0090951446285766e+08 9.7713295976225317e+07 9.4241841584994912e+07 9.0526991509456217e+07 8.6616671440828502e+07 8.2573999285648778e+07 7.8474122048301622e+07 7.4398865670344859e+07 7.0429333917270586e+07 6.6638356312726103e+07 6.3085422346322626e+07 5.9812967657376260e+07 5.6841439043810390e+07 5.4173642322480358e+07 5.1799637633680180e+07 4.9699452879932486e+07 4.7848642961699657e+07 4.6220768587105349e+07 4.4791695409728989e+07 4.3537802646121189e+07 4.2439960899670675e+07 4.1479683863136709e+07 4.0643505411986992e+07 3.9917711424244270e+07 3.9290761743963465e+07 3.8753703923391446e+07 3.8296976356215440e+07 3.7911357411946759e+07 3.7590133286021829e+07 3.7324889206553020e+07 3.7109572556464896e+07 3.6937176997105777e+07 3.6801712250302799e+07 3.6695013096903697e+07 3.6609106252801307e+07 3.6538100890028670e+07 3.6476374483230300e+07 3.6418356651804611e+07 3.6377374971897960e+07 3.6336018712256730e+07 3.6293831055965550e+07 3.6249647479121834e+07 3.6204068710446343e+07 3.6155781129741222e+07 3.6106422473185882e+07 3.6051569503553882e+07 3.5992865008811839e+07 3.5929228727035858e+07 3.5859817107007600e+07 3.5783605093452714e+07 3.5699437938010544e+07 3.5605654041013777e+07 3.5502469563368201e+07 3.5385949216701098e+07 3.5255309397773981e+07 3.5108654518808156e+07 3.4943944627727300e+07 3.4759076010298684e+07 3.4551938557240881e+07 3.4320196145835876e+07 3.4064190032018118e+07 3.3779403118632719e+07 3.3466829877555862e+07 3.3127193388452668e+07 3.2763157636438698e+07 3.2379255211370535e+07 3.1984113396010991e+07 3.1590567894651417e+07 3.1219670483517956e+07 3.0897820886037376e+07 3.0666440197528586e+07 3.0583203570660353e+07 3.0731941915097598e+07 3.1234635551600598e+07 3.2276131778126739e+07 3.4149046871043414e+07 3.7346488761064269e+07 6.5711679266395885e+06 +1.0881260420140313e+01 1.2256450124625251e+08 1.2255225047347783e+08 1.2253144654626192e+08 1.2250367790498403e+08 1.2247477167257991e+08 1.2245417000526366e+08 1.2244623279094550e+08 1.2244369970760493e+08 1.2243887792526627e+08 1.2242972598456486e+08 1.2241654458788106e+08 1.2239884273906697e+08 1.2237571026471977e+08 1.2234621856404281e+08 1.2230938757062091e+08 1.2226401984342675e+08 1.2220868119409893e+08 1.2214170485714038e+08 1.2206114153512964e+08 1.2196469044131257e+08 1.2184965542838876e+08 1.2171281693012983e+08 1.2154970818219386e+08 1.2135264691591601e+08 1.2111339031389603e+08 1.2082779429806222e+08 1.2049104411924633e+08 1.2009562486578728e+08 1.1963235854371724e+08 1.1909074540547036e+08 1.1845895068247510e+08 1.1772374921446483e+08 1.1687051015516675e+08 1.1588324804858835e+08 1.1474477576672816e+08 1.1343697031161711e+08 1.1194122505835499e+08 1.1023910737020355e+08 1.0831329156485415e+08 1.0614876029336444e+08 1.0354429609814513e+08 1.0064486120777671e+08 9.7454193560660005e+07 9.3989018001956299e+07 9.0281177858091816e+07 8.6378564651114404e+07 8.2344217764403552e+07 7.8253158976711825e+07 7.4187046651786163e+07 7.0226787926711440e+07 6.6445005643293209e+07 6.2900989662411019e+07 5.9637001642187268e+07 5.6673365633048125e+07 5.4012813055798583e+07 5.1645371686810784e+07 4.9551076300234102e+07 4.7705513151306167e+07 4.6082291098228909e+07 4.4657325907453358e+07 4.3407052592425957e+07 4.2312388837273248e+07 4.1354897200663075e+07 4.0521147274898507e+07 3.9797463184878543e+07 3.9172337389812537e+07 3.8636842700069711e+07 3.8181445310738526e+07 3.7796950473075286e+07 3.7476663749946676e+07 3.7212195207902081e+07 3.6997509524173133e+07 3.6825620751429632e+07 3.6690555724603146e+07 3.6584172874138437e+07 3.6498522177940331e+07 3.6427729573856592e+07 3.6366188780866861e+07 3.6308345884975940e+07 3.6267487928495072e+07 3.6226256572779395e+07 3.6184196352746129e+07 3.6140146249211103e+07 3.6094705170898318e+07 3.6046563503111407e+07 3.5997353839149967e+07 3.5942666575733729e+07 3.5884139421581462e+07 3.5820695377952360e+07 3.5751493441746317e+07 3.5675511654121920e+07 3.5591598754958451e+07 3.5498098202468522e+07 3.5395225312560879e+07 3.5279056952753089e+07 3.5148811771869607e+07 3.5002599908258565e+07 3.4838387571998671e+07 3.4654077403694816e+07 3.4447565668189421e+07 3.4216523336956017e+07 3.3961290450343370e+07 3.3677363814609349e+07 3.3365734786822129e+07 3.3027124262459196e+07 3.2664188179463852e+07 3.2281445435848441e+07 3.1887497253552310e+07 3.1495140597640622e+07 3.1125363482429314e+07 3.0804486121483181e+07 3.0573804385221511e+07 3.0490819237031579e+07 3.0639108287839133e+07 3.1140283401665699e+07 3.2178633515453324e+07 3.4045891034547970e+07 3.7233674097923659e+07 6.5475652496243631e+06 +1.0886228742914572e+01 1.2226811833302517e+08 1.2225589667404249e+08 1.2223514224238838e+08 1.2220743820149617e+08 1.2217859698353459e+08 1.2215803741196927e+08 1.2215010870837477e+08 1.2214756843325244e+08 1.2214274217502530e+08 1.2213359273725148e+08 1.2212041933831245e+08 1.2210273145043175e+08 1.2207962025058573e+08 1.2205015836814615e+08 1.2201336693891653e+08 1.2196805007227594e+08 1.2191277541332905e+08 1.2184587828485659e+08 1.2176541182526073e+08 1.2166907815972288e+08 1.2155418458558191e+08 1.2141751572556205e+08 1.2125461093690489e+08 1.2105779853296858e+08 1.2081884558206798e+08 1.2053361288756570e+08 1.2019729334340177e+08 1.1980238323504484e+08 1.1933971803496142e+08 1.1879881376157671e+08 1.1816785400285204e+08 1.1743363491487382e+08 1.1658155031339170e+08 1.1559564313095029e+08 1.1445875868334702e+08 1.1315281075282337e+08 1.1165923390711513e+08 1.0995964093217005e+08 1.0803675513951017e+08 1.0587561051532179e+08 1.0327535294334909e+08 1.0038077116923097e+08 9.7195652556850508e+07 9.3736752766421974e+07 9.0035917943158776e+07 8.6141005184124991e+07 8.2114975167124838e+07 7.8032724380020425e+07 7.3975743694740489e+07 7.0024743866499364e+07 6.6252141443950675e+07 6.2717027157235377e+07 5.9461489229787759e+07 5.6505729458583064e+07 5.3852405281206466e+07 5.1491512421276033e+07 4.9403092713542789e+07 4.7562763858930804e+07 4.5944182873751633e+07 4.4523315605909340e+07 4.3276652788961142e+07 4.2185159113577887e+07 4.1230445907827213e+07 4.0399118410441414e+07 3.9677538907035910e+07 3.9054232396222033e+07 3.8520296887984678e+07 3.8066226309946254e+07 3.7682852727688976e+07 3.7363501023976885e+07 3.7099806039866440e+07 3.6885749704920799e+07 3.6714366411833182e+07 3.6579700066852525e+07 3.6473632690887064e+07 3.6388237464733049e+07 3.6317657051382832e+07 3.6256301373597868e+07 3.6198632941169001e+07 3.6157898373461977e+07 3.6116791583639868e+07 3.6074858454907827e+07 3.6030941463310853e+07 3.5985637702531129e+07 3.5937641552462898e+07 3.5888580478241034e+07 3.5834058472384393e+07 3.5775708178678408e+07 3.5712455852710955e+07 3.5643463032630421e+07 3.5567710847636499e+07 3.5484051516351052e+07 3.5390833541096874e+07 3.5288271395887971e+07 3.5172454070002176e+07 3.5042602458748356e+07 3.4896832411090329e+07 3.4733116282656237e+07 3.4549363051561959e+07 3.4343475339648753e+07 3.4113131193078876e+07 3.3858669440853462e+07 3.3575600753794819e+07 3.3264913383056346e+07 3.2927326045880858e+07 3.2565486654844355e+07 3.2183900453143232e+07 3.1791142672425915e+07 3.1399971643344808e+07 3.1031311791532036e+07 3.0711404035052072e+07 3.0481419358778242e+07 3.0398685008261822e+07 3.0546525981770884e+07 3.1046186683941357e+07 3.2081399202230852e+07 3.3943014463627584e+07 3.7121164849607207e+07 6.5240432726429868e+06 +1.0891197065688830e+01 1.2197228793798351e+08 1.2196009522436155e+08 1.2193938961553465e+08 1.2191175015808439e+08 1.2188297384564956e+08 1.2186245631201288e+08 1.2185453613581386e+08 1.2185198872339375e+08 1.2184715804798609e+08 1.2183801116884682e+08 1.2182484582677999e+08 1.2180717196325548e+08 1.2178408210595798e+08 1.2175465011501087e+08 1.2171789832991517e+08 1.2167263241212216e+08 1.2161742184117115e+08 1.2155060403125146e+08 1.2147023455845067e+08 1.2137401846320601e+08 1.2125926649083269e+08 1.2112276745647964e+08 1.2096006684280989e+08 1.2076350355073737e+08 1.2052485454810259e+08 1.2023998552779712e+08 1.1990409702674077e+08 1.1950969653023782e+08 1.1904763298234133e+08 1.1850743817200236e+08 1.1787731404664552e+08 1.1714407807899164e+08 1.1629314874320544e+08 1.1530859735091726e+08 1.1417330164388464e+08 1.1286921215626036e+08 1.1137780460463712e+08 1.0968073713578139e+08 1.0776078196965836e+08 1.0560302431478624e+08 1.0300697322293273e+08 1.0011724370070063e+08 9.6937672280825242e+07 9.3485045155702323e+07 8.9791211003958598e+07 8.5903992242967278e+07 8.1886270664306507e+07 7.7812817401219919e+07 7.3764955921192706e+07 6.9823200845137239e+07 6.6059762817351714e+07 6.2533533934960715e+07 5.9286429531972408e+07 5.6338529644897476e+07 5.3692418139179029e+07 5.1338058995582409e+07 4.9255501297196038e+07 4.7420394280553319e+07 4.5806443127470478e+07 4.4389663735634342e+07 4.3146602481708646e+07 4.2058270988333121e+07 4.1106329256856970e+07 4.0277418101866521e+07 3.9557937883624099e+07 3.8936446064600118e+07 3.8404065795925744e+07 3.7951318668819137e+07 3.7569063496100143e+07 3.7250644432973459e+07 3.6987721031063534e+07 3.6774292430480368e+07 3.6603413312606335e+07 3.6469144613421045e+07 3.6363391885255940e+07 3.6278251452647403e+07 3.6207882663297191e+07 3.6146711603215113e+07 3.6089217163200594e+07 3.6048605650425032e+07 3.6007623089200214e+07 3.5965816707501538e+07 3.5922032467284650e+07 3.5876865652085505e+07 3.5829014625344366e+07 3.5780101738860197e+07 3.5725744542924240e+07 3.5667570630603902e+07 3.5604509502964020e+07 3.5535725232562065e+07 3.5460202028269939e+07 3.5376795578022338e+07 3.5283859414416716e+07 3.5181607172694981e+07 3.5066139929880396e+07 3.4936680822215453e+07 3.4791351393803261e+07 3.4628130129093044e+07 3.4444932326721743e+07 3.4239666948110774e+07 3.4010019094969653e+07 3.3756326388887525e+07 3.3474113326606918e+07 3.3164365062351391e+07 3.2827798140981842e+07 3.2467052471330710e+07 3.2086619678936772e+07 3.1695049075514760e+07 3.1305060461668018e+07 3.0937514847515330e+07 3.0618574069209423e+07 3.0389284564811762e+07 3.0306800332513988e+07 3.0454194442308459e+07 3.0952344834762875e+07 3.1984428256019343e+07 3.3840416542071238e+07 3.7008960342155814e+07 6.5006017388259945e+06 +1.0896165388463089e+01 1.2167700856642364e+08 1.2166484541401061e+08 1.2164418836892712e+08 1.2161661338330139e+08 1.2158790190409903e+08 1.2156742635008058e+08 1.2155951471831931e+08 1.2155696022300807e+08 1.2155212518884572e+08 1.2154298092376199e+08 1.2152982369745331e+08 1.2151216392124912e+08 1.2148909547415519e+08 1.2145969344744703e+08 1.2142298138592811e+08 1.2137776650412808e+08 1.2132262011843875e+08 1.2125588173554783e+08 1.2117560937298308e+08 1.2107951098863655e+08 1.2096490077929150e+08 1.2082857175619417e+08 1.2066607553067438e+08 1.2046976159704828e+08 1.2023141683661960e+08 1.1994691183934769e+08 1.1961145478487936e+08 1.1921756436145225e+08 1.1875610298932828e+08 1.1821661823256330e+08 1.1758733040069935e+08 1.1685507828321324e+08 1.1600530500900944e+08 1.1502211025891814e+08 1.1388840418330267e+08 1.1258617403872456e+08 1.1109693664752039e+08 1.0940239545465361e+08 1.0748537150335288e+08 1.0533100111182263e+08 1.0273915632377285e+08 9.9854278153683960e+07 9.6680252046742409e+07 9.3233894445898876e+07 8.9547056278585419e+07 8.5667525029777125e+07 8.1658103425554618e+07 7.7593437182670146e+07 7.3554682452795833e+07 6.9622157970926151e+07 6.5867868866118491e+07 6.2350509099825442e+07 5.9111821660922244e+07 5.6171765316846438e+07 5.3532850770751089e+07 5.1185010568879485e+07 4.9108301229114078e+07 4.7278403612800017e+07 4.5669071074003994e+07 4.4256369527947932e+07 4.3016900917271078e+07 4.1931723722111359e+07 4.0982546520763129e+07 4.0156045633175977e+07 3.9438659408457302e+07 3.8818977697140403e+07 3.8288148733363353e+07 3.7836721703153931e+07 3.7455582099434569e+07 3.7138093302551143e+07 3.6875939510892034e+07 3.6663137033372611e+07 3.6492760788833931e+07 3.6358888701541014e+07 3.6253449796093948e+07 3.6168563482016094e+07 3.6098405751144804e+07 3.6037418812364534e+07 3.5980097894682601e+07 3.5939609103674047e+07 3.5898750434509166e+07 3.5857070456414528e+07 3.5813418607782073e+07 3.5768388367014766e+07 3.5720682070125677e+07 3.5671916970279753e+07 3.5617724137593739e+07 3.5559726128591321e+07 3.5496855681147173e+07 3.5428279395239092e+07 3.5352984551073834e+07 3.5269830296530768e+07 3.5177175180666365e+07 3.5075232003088787e+07 3.4960113894588232e+07 3.4831046226831108e+07 3.4686156223553941e+07 3.4523428481525131e+07 3.4340784602643639e+07 3.4136139870850146e+07 3.3907186424009770e+07 3.3654260680451810e+07 3.3372900924273547e+07 3.3064089221531164e+07 3.2728539950650983e+07 3.2368885038467750e+07 3.1989602529675759e+07 3.1599215886299111e+07 3.1210406483243201e+07 3.0843972087662678e+07 3.0525995667027041e+07 3.0297399450625982e+07 3.0215164658542339e+07 3.0362113115557015e+07 3.0858757291189954e+07 3.1887720095132079e+07 3.3738096654369600e+07 3.6897059902438506e+07 6.4772403920314545e+06 +1.0901133711237348e+01 1.2138228065558672e+08 1.2137014649284180e+08 1.2134953810845776e+08 1.2132202750499168e+08 1.2129338080063485e+08 1.2127294716798769e+08 1.2126504409779595e+08 1.2126248257429475e+08 1.2125764323957236e+08 1.2124850164358775e+08 1.2123535259146300e+08 1.2121770696532325e+08 1.2119465999552935e+08 1.2116528800539409e+08 1.2112861574610338e+08 1.2108345198697875e+08 1.2102836988261628e+08 1.2096171103462660e+08 1.2088153590420552e+08 1.2078555536995775e+08 1.2067108708327977e+08 1.2053492825485830e+08 1.2037263662855233e+08 1.2017657229727703e+08 1.1993853206915437e+08 1.1965439143961608e+08 1.1931936623051904e+08 1.1892598633569431e+08 1.1846512765651168e+08 1.1792635353609703e+08 1.1729790264882512e+08 1.1656663510107923e+08 1.1571801867243671e+08 1.1473618140306056e+08 1.1360406583363920e+08 1.1230369591448323e+08 1.1081662952971241e+08 1.0912461535992843e+08 1.0721052318635502e+08 1.0505954032417862e+08 1.0247190163088351e+08 9.9591873877768859e+07 9.6423391167095691e+07 9.2983299911468774e+07 8.9303453003888935e+07 8.5431602745676935e+07 8.1430472619818777e+07 7.7374582866305277e+07 7.3344922410901189e+07 6.9421614352109596e+07 6.5676458693211883e+07 6.2167951756554402e+07 5.8937664729289368e+07 5.6005435599953070e+07 5.3373702317627378e+07 5.1032366300947823e+07 4.8961491688106082e+07 4.7136791053124011e+07 4.5532065928772524e+07 4.4123432214964911e+07 4.2887547343196914e+07 4.1805516576297671e+07 4.0859096973345980e+07 4.0035000289258942e+07 3.9319702776026018e+07 3.8701826596897788e+07 3.8172545010627747e+07 3.7722434729537383e+07 3.7342407859595627e+07 3.7025846959112719e+07 3.6764460809563287e+07 3.6552282846933886e+07 3.6382408176412590e+07 3.6248931669150606e+07 3.6143805763061203e+07 3.6059172893884733e+07 3.5989225657136895e+07 3.5928422344329298e+07 3.5871274480014868e+07 3.5830908078374386e+07 3.5790172965474054e+07 3.5748619048271857e+07 3.5705099232245184e+07 3.5660205195582025e+07 3.5612643235923797e+07 3.5564025522484794e+07 3.5509996607398689e+07 3.5452174024763919e+07 3.5389493740450121e+07 3.5321124875068247e+07 3.5246057771872558e+07 3.5163155029224224e+07 3.5070780198892474e+07 3.4969145247963279e+07 3.4854375327138640e+07 3.4725698037938602e+07 3.4581246268388763e+07 3.4419010710894786e+07 3.4236919253623776e+07 3.4032893485845260e+07 3.3804632562365033e+07 3.3552471702349324e+07 3.3271962938666362e+07 3.2964085258114964e+07 3.2629550878543478e+07 3.2270983766427208e+07 3.1892848422443852e+07 3.1503642529035132e+07 3.1116009139398333e+07 3.0750682949953321e+07 3.0433668272310097e+07 3.0205763464149520e+07 3.0123777435784515e+07 3.0270281448292233e+07 3.0765423490921322e+07 3.1791274138492480e+07 3.3636054185795687e+07 3.6785462858164616e+07 6.4539589768432854e+06 +1.0906102034011607e+01 1.2108810366727254e+08 1.2107599783380128e+08 1.2105543850513928e+08 1.2102799217315198e+08 1.2099941017348346e+08 1.2097901840469292e+08 1.2097112391347469e+08 1.2096855541627786e+08 1.2096371183893320e+08 1.2095457296660803e+08 1.2094143214700104e+08 1.2092380073329790e+08 1.2090077530762425e+08 1.2087143342554450e+08 1.2083480104677176e+08 1.2078968849616757e+08 1.2073467076829506e+08 1.2066809156199789e+08 1.2058801378452849e+08 1.2049215123817880e+08 1.2037782503203076e+08 1.2024183657981867e+08 1.2007974976125669e+08 1.1988393527338338e+08 1.1964619986457406e+08 1.1936242394338621e+08 1.1902783097356062e+08 1.1863496205724102e+08 1.1817470658157803e+08 1.1763664367264952e+08 1.1700903037231174e+08 1.1627874810359041e+08 1.1543128929244195e+08 1.1445081032856205e+08 1.1332028612471363e+08 1.1202177729542182e+08 1.1053688274262458e+08 1.0884739632037179e+08 1.0693623646211764e+08 1.0478864136747479e+08 1.0220520852721164e+08 9.9330030220779449e+07 9.6167088952817753e+07 9.2733260825376421e+07 8.9060400415598616e+07 8.5196224590756416e+07 8.1203377415374428e+07 7.7156253593522891e+07 7.3135674916706532e+07 6.9221569097104102e+07 6.5485531401621774e+07 6.1985861010067120e+07 5.8763957850192785e+07 5.5839539620249636e+07 5.3214971922158420e+07 5.0880125352351978e+07 4.8815071853499688e+07 4.6995555799731888e+07 4.5395426907795779e+07 4.3990851029562719e+07 4.2758541007701389e+07 4.1679648813085444e+07 4.0735979889274158e+07 3.9914281355748191e+07 3.9201067281642601e+07 3.8584992067637503e+07 3.8057253938844122e+07 3.7608457065303653e+07 3.7229540099365748e+07 3.6913904729896486e+07 3.6653284258075207e+07 3.6441729205268927e+07 3.6272354812041849e+07 3.6139272854980394e+07 3.6034459126592189e+07 3.5950079030119717e+07 3.5880341724431060e+07 3.5819721543263294e+07 3.5762746264371850e+07 3.5722501920432337e+07 3.5681890028725222e+07 3.5640461830476806e+07 3.5597073688880458e+07 3.5552315486794345e+07 3.5504897472634852e+07 3.5456426746260576e+07 3.5402561304072298e+07 3.5344913671905011e+07 3.5282423034847543e+07 3.5214261027309708e+07 3.5139421047231391e+07 3.5056769134189680e+07 3.4964673828839585e+07 3.4863346268923402e+07 3.4748923591264859e+07 3.4620635621633157e+07 3.4476620896963567e+07 3.4314876188869141e+07 3.4133335654655933e+07 3.3929927171828024e+07 3.3702356892963670e+07 3.3450958842068549e+07 3.3171298762397617e+07 3.2864352570353147e+07 3.2530830329007834e+07 3.2173348066101409e+07 3.1796356775044799e+07 3.1408328428622268e+07 3.1021867862117354e+07 3.0657646873035636e+07 3.0341591329469763e+07 3.0114376053977009e+07 3.0032638114326239e+07 3.0178698887912106e+07 3.0672342872359745e+07 3.1695089805779301e+07 3.3534288522307511e+07 3.6674168537781641e+07 6.4307572385696936e+06 +1.0911070356785865e+01 1.2079447721436632e+08 1.2078240001729043e+08 1.2076188934730893e+08 1.2073450704300939e+08 1.2070598965740253e+08 1.2068563969606121e+08 1.2067775380126232e+08 1.2067517838519681e+08 1.2067033062262376e+08 1.2066119452862184e+08 1.2064806199932362e+08 1.2063044485994326e+08 1.2060744104467599e+08 1.2057812934188297e+08 1.2054153692105210e+08 1.2049647566413638e+08 1.2044152240721871e+08 1.2037502294829406e+08 1.2029504264339276e+08 1.2019929822131664e+08 1.2008511425196034e+08 1.1994929635554601e+08 1.1978741455075552e+08 1.1959185014459030e+08 1.1935441983861272e+08 1.1907100896242377e+08 1.1873684862099828e+08 1.1834449112756298e+08 1.1788483935926318e+08 1.1734748822936812e+08 1.1672071314944871e+08 1.1599141685885863e+08 1.1514511642537850e+08 1.1416599657807378e+08 1.1303706458340576e+08 1.1174041769061004e+08 1.1025769577547424e+08 1.0857073780257390e+08 1.0666251077196909e+08 1.0451830365518783e+08 1.0193907639366907e+08 9.9068746528769851e+07 9.5911344713091299e+07 9.2483776459452718e+07 8.8817897748091280e+07 8.4961389764184833e+07 8.0976816979538381e+07 7.6938448505182400e+07 7.2926939091068715e+07 6.9022021314018339e+07 6.5295086094426796e+07 6.1804235965704009e+07 5.8590700137139432e+07 5.5674076504323371e+07 5.3056658727253944e+07 5.0728286884281486e+07 4.8669040905605182e+07 4.6854697051530354e+07 4.5259153228059642e+07 4.3858625205449797e+07 4.2629881159889713e+07 4.1554119695392966e+07 4.0613194543911897e+07 3.9793888119052380e+07 3.9082752221533798e+07 3.8468473413987070e+07 3.7942274829914704e+07 3.7494788028653927e+07 3.7116978142197914e+07 3.6802265942915507e+07 3.6542409188229337e+07 3.6331475443276547e+07 3.6162600033179514e+07 3.6029911598640464e+07 3.5925409227957003e+07 3.5841281233372718e+07 3.5771753296826050e+07 3.5711315754182503e+07 3.5654512593729049e+07 3.5614389976552382e+07 3.5573900971728057e+07 3.5532598151234075e+07 3.5489341326674961e+07 3.5444718590478331e+07 3.5397444130907923e+07 3.5349119993196465e+07 3.5295417580171302e+07 3.5237944423624121e+07 3.5175642919075325e+07 3.5107687207956277e+07 3.5033073734549753e+07 3.4950671970292158e+07 3.4858855431131437e+07 3.4757834428436898e+07 3.4643758051477879e+07 3.4515858344740644e+07 3.4372279478812300e+07 3.4211024287902169e+07 3.4030033181495100e+07 3.3827240308297440e+07 3.3600358799412899e+07 3.3349721487848267e+07 3.3070907788841181e+07 3.2764890557181235e+07 3.2432377707092740e+07 3.2075977349131782e+07 3.1700127006000798e+07 3.1313273010647390e+07 3.0927982084047720e+07 3.0564863296211507e+07 3.0249764283614829e+07 3.0023236669355154e+07 2.9941746144944061e+07 3.0087364882522650e+07 3.0579514874531075e+07 3.1599166517312825e+07 3.3432799050617121e+07 3.6563176270618595e+07 6.4076349232415082e+06 +1.0916038679560124e+01 1.2050139998813835e+08 1.2048935230104230e+08 1.2046889023072864e+08 1.2044157175777787e+08 1.2041311888458276e+08 1.2039281067530125e+08 1.2038493339445923e+08 1.2038235111411570e+08 1.2037749922365005e+08 1.2036836596203990e+08 1.2035524178067335e+08 1.2033763897726798e+08 1.2031465683814114e+08 1.2028537538533652e+08 1.2024882299932145e+08 1.2020381312055643e+08 1.2014892442806841e+08 1.2008250482117532e+08 1.2000262210740672e+08 1.1990699594450457e+08 1.1979295436644746e+08 1.1965730720330253e+08 1.1949563061628729e+08 1.1930031652716620e+08 1.1906319160419399e+08 1.1878014610544825e+08 1.1844641877692722e+08 1.1805457314511788e+08 1.1759552558163147e+08 1.1705888679077671e+08 1.1643295055588271e+08 1.1570464093210730e+08 1.1485949962473881e+08 1.1388173969163193e+08 1.1275440073411098e+08 1.1145961660683124e+08 1.0997906811485539e+08 1.0829463927047394e+08 1.0638934555486189e+08 1.0424852659866817e+08 1.0167350460924701e+08 9.8808022145885348e+07 9.5656157755506694e+07 9.2234846083803639e+07 8.8575944234689698e+07 8.4727097464298353e+07 8.0750790479153275e+07 7.6721166741676345e+07 7.2718714054607704e+07 6.8822970110974044e+07 6.5105121875044845e+07 6.1623075729028605e+07 5.8417890704143763e+07 5.5509045379372731e+07 5.2898761876524039e+07 5.0576850058657810e+07 4.8523398025237128e+07 4.6714214008253880e+07 4.5123244107256562e+07 4.3726753977057047e+07 4.2501567049591921e+07 4.1428928487009473e+07 4.0490740213534325e+07 3.9673819866491698e+07 3.8964756892579272e+07 3.8352269941342570e+07 3.7827606996522598e+07 3.7381426938574702e+07 3.7004721312438875e+07 3.6690929926996447e+07 3.6431834932608865e+07 3.6221520896717548e+07 3.6053143178127967e+07 3.5920847240438536e+07 3.5816655409143396e+07 3.5732778847085238e+07 3.5663459719018698e+07 3.5603204322737373e+07 3.5546572814824432e+07 3.5506571594207808e+07 3.5466205142705761e+07 3.5425027359520458e+07 3.5381901495414473e+07 3.5337413857259631e+07 3.5290282562258512e+07 3.5242104615610674e+07 3.5188564789064974e+07 3.5131265634321786e+07 3.5069152748678982e+07 3.5001402773745477e+07 3.4927015191950999e+07 3.4844862897212788e+07 3.4753324367077529e+07 3.4652609089642301e+07 3.4538878073009394e+07 3.4411365574893683e+07 3.4268221384147160e+07 3.4107454381189756e+07 3.3927011210672714e+07 3.3724832275457084e+07 3.3498637666148257e+07 3.3248759028681032e+07 3.2970789412065782e+07 3.2665698618336137e+07 3.2334192418635391e+07 3.1978871027784139e+07 3.1604158534474943e+07 3.1218475701396413e+07 3.0834351238543596e+07 3.0472331659534909e+07 3.0158186580527015e+07 2.9932344760226570e+07 2.9851100979055014e+07 2.9996278880867593e+07 3.0486938937218208e+07 3.1503503694192428e+07 3.3331585158215132e+07 3.6452485386750549e+07 6.3845917776106019e+06 +1.0921007002334383e+01 1.2020887370552425e+08 1.2019685421096252e+08 1.2017644069989608e+08 1.2014918594634755e+08 1.2012079748490468e+08 1.2010053097281553e+08 1.2009266232328463e+08 1.2009007323323643e+08 1.2008521727177180e+08 1.2007608689648001e+08 1.2006297112044738e+08 1.2004538271409887e+08 1.2002242231661150e+08 1.1999317118384746e+08 1.1995665890891476e+08 1.1991170049204659e+08 1.1985687645664982e+08 1.1979053680557714e+08 1.1971075180008146e+08 1.1961524402985530e+08 1.1950134499598175e+08 1.1936586874170925e+08 1.1920439757401867e+08 1.1900933403465556e+08 1.1877251477136663e+08 1.1848983497866377e+08 1.1815654104264276e+08 1.1776520770563667e+08 1.1730676483797623e+08 1.1677083893851271e+08 1.1614574216449408e+08 1.1541841988611674e+08 1.1457443844156940e+08 1.1359803920651726e+08 1.1247229409884946e+08 1.1117937354824536e+08 1.0970099924496597e+08 1.0801910018596363e+08 1.0611674024761946e+08 1.0397930960712647e+08 1.0140849255105600e+08 9.8547856414499953e+07 9.5401527386248603e+07 9.1986468967303917e+07 8.8334539107399464e+07 8.4493346888268620e+07 8.0525297080143958e+07 7.6504407443107352e+07 7.2510998927682504e+07 6.8624414596253738e+07 6.4915637846921802e+07 6.1442379406014331e+07 5.8245528665671051e+07 5.5344445373099640e+07 5.2741280514212862e+07 5.0425814038128063e+07 4.8378142394105904e+07 4.6574105870438717e+07 4.4987698763908856e+07 4.3595236579748645e+07 4.2373597927461475e+07 4.1304074452536792e+07 4.0368616175162114e+07 3.9554075886081181e+07 3.8847080592554897e+07 3.8236380955911830e+07 3.7713249752215020e+07 3.7268373114832155e+07 3.6892768935230061e+07 3.6579896011739388e+07 3.6321560824581079e+07 3.6111864902063981e+07 3.5943983585902609e+07 3.5812079121497326e+07 3.5708197012994327e+07 3.5624571215506680e+07 3.5555460336396307e+07 3.5495386595476009e+07 3.5438926275230892e+07 3.5399046121711634e+07 3.5358801890654743e+07 3.5317748805126451e+07 3.5274753545666002e+07 3.5230400638475090e+07 3.5183412118923947e+07 3.5135379966654398e+07 3.5082002284823097e+07 3.5024876659152806e+07 3.4962951879960254e+07 3.4895407082253240e+07 3.4821244778324373e+07 3.4739341275353022e+07 3.4648079998754069e+07 3.4547669616514556e+07 3.4434283021940462e+07 3.4307156680451199e+07 3.4164445983959474e+07 3.4004165842682913e+07 3.3824269119474553e+07 3.3622702454310074e+07 3.3397192878272530e+07 3.3148070854260080e+07 3.2870943026887048e+07 3.2566776154198024e+07 3.2236273870081242e+07 3.1882028515104882e+07 3.1508450780400220e+07 3.1123935927868236e+07 3.0740974759647716e+07 3.0380051403645176e+07 3.0066857666650943e+07 2.9841699777169582e+07 2.9760702068739090e+07 2.9905440332372975e+07 3.0394614500778224e+07 3.1408100758118041e+07 3.3230646233284261e+07 3.6342095217120141e+07 6.3616275491482485e+06 +1.0925975325108642e+01 1.1991689634010777e+08 1.1990490506857631e+08 1.1988454041514036e+08 1.1985734923289497e+08 1.1982902508610755e+08 1.1980880021626128e+08 1.1980094021510899e+08 1.1979834436979400e+08 1.1979348439400266e+08 1.1978435695872270e+08 1.1977124964500430e+08 1.1975367569654535e+08 1.1973073710568206e+08 1.1970151636254872e+08 1.1966504427436946e+08 1.1962013740232149e+08 1.1956537811595991e+08 1.1949911852324232e+08 1.1941943134206359e+08 1.1932404209663497e+08 1.1921028575816566e+08 1.1907498058651765e+08 1.1891371503722274e+08 1.1871890227750292e+08 1.1848238894733904e+08 1.1820007518513753e+08 1.1786721501655708e+08 1.1747639440191872e+08 1.1701855671466038e+08 1.1648334425145429e+08 1.1585908754539345e+08 1.1513275328094727e+08 1.1428993242387144e+08 1.1331489465751314e+08 1.1219074419682562e+08 1.1089968801664366e+08 1.0942348864770120e+08 1.0774412000843990e+08 1.0584469428481103e+08 1.0371065208779559e+08 1.0114403959398983e+08 9.8288248675225228e+07 9.5147452909421563e+07 9.1738644377305001e+07 8.8093681597175583e+07 8.4260137232306793e+07 8.0300335947947085e+07 7.6288169748882264e+07 7.2303792830523431e+07 6.8426353877946720e+07 6.4726633113773078e+07 6.1262146102945566e+07 5.8073613136686869e+07 5.5180275613819122e+07 5.2584213785302795e+07 5.0275177986021310e+07 4.8233273194628812e+07 4.6434371839296862e+07 4.4852516417307906e+07 4.3464072249495752e+07 4.2245973045049347e+07 4.1179556857320495e+07 4.0246821706643969e+07 3.9434655466738217e+07 3.8729722620034277e+07 3.8120805764736734e+07 3.7599202411335938e+07 3.7155625878044792e+07 3.6781120336481601e+07 3.6469163527581267e+07 3.6211586198364891e+07 3.6002506796649225e+07 3.5835120596440993e+07 3.5703606583787628e+07 3.5600033383170426e+07 3.5516657683684185e+07 3.5447754495264336e+07 3.5387861919702508e+07 3.5331572323267750e+07 3.5291812908094443e+07 3.5251690565423824e+07 3.5210761838610753e+07 3.5167896828769304e+07 3.5123678286323026e+07 3.5076832153929092e+07 3.5028945400233306e+07 3.4975729422355078e+07 3.4918776854051627e+07 3.4857039669997863e+07 3.4789699491787389e+07 3.4715761853410311e+07 3.4634106465929300e+07 3.4543121689101741e+07 3.4443015373756416e+07 3.4329972265043065e+07 3.4203231030599497e+07 3.4060952650081068e+07 3.3901158047106847e+07 3.3721806285878867e+07 3.3520850226591460e+07 3.3296023821676757e+07 3.3047656355073120e+07 3.2771368028905917e+07 3.2468122565958086e+07 3.2138621468702264e+07 3.1785449224856049e+07 3.1413003164388075e+07 3.1029653117743034e+07 3.0647852082084481e+07 3.0288021969911773e+07 2.9975776989105199e+07 2.9751301171459936e+07 2.9670548866749223e+07 2.9814848687100738e+07 3.0302541006326064e+07 3.1312957131593887e+07 3.3129981664756812e+07 3.6232005093390666e+07 6.3387419860435119e+06 +1.0930943647882900e+01 1.1962546722195311e+08 1.1961350514622213e+08 1.1959318895455255e+08 1.1956606124719235e+08 1.1953780131378470e+08 1.1951761803038728e+08 1.1950976669443786e+08 1.1950716414831853e+08 1.1950230021451832e+08 1.1949317577263056e+08 1.1948007697782770e+08 1.1946251754784378e+08 1.1943960082798506e+08 1.1941041054363728e+08 1.1937397871720710e+08 1.1932912347230892e+08 1.1927442902591930e+08 1.1920824959325404e+08 1.1912866035121231e+08 1.1903338976133160e+08 1.1891977626781084e+08 1.1878464235032657e+08 1.1862358261640702e+08 1.1842902086341912e+08 1.1819281373654374e+08 1.1791086632526951e+08 1.1757844029431725e+08 1.1718813282427579e+08 1.1673090079530087e+08 1.1619640230580272e+08 1.1557298626595590e+08 1.1484764067379180e+08 1.1400598111756603e+08 1.1303230557685170e+08 1.1190975054490203e+08 1.1062055951129587e+08 1.0914653580249152e+08 1.0746969819512901e+08 1.0557320709879950e+08 1.0344255344581775e+08 1.0088014511131008e+08 9.8029198266956717e+07 9.4893933628156438e+07 9.1491371579957694e+07 8.7853370933631167e+07 8.4027467691977337e+07 8.0075906247134849e+07 7.6072452798135757e+07 7.2097094883066908e+07 6.8228787064214781e+07 6.4538106779447272e+07 6.1082374926414542e+07 5.7902143232600719e+07 5.5016535230405830e+07 5.2427560835255742e+07 5.0124941066359051e+07 4.8088789609993845e+07 4.6295011116937704e+07 4.4717696287438281e+07 4.3333260223285690e+07 4.2118691654572964e+07 4.1055374967616051e+07 4.0125356086625472e+07 3.9315557898121186e+07 3.8612682274418995e+07 3.8005543675675489e+07 3.7485464289016470e+07 3.7043184549592406e+07 3.6669774842912704e+07 3.6358731805761598e+07 3.6101910388975188e+07 3.5893445918577962e+07 3.5726553550406501e+07 3.5595428970028646e+07 3.5492163864056610e+07 3.5409037597415462e+07 3.5340341542633832e+07 3.5280629643554211e+07 3.5224510308090821e+07 3.5184871303256311e+07 3.5144870517617069e+07 3.5104065811345696e+07 3.5061330696898118e+07 3.5017246153748393e+07 3.4970542021114878e+07 3.4922800271055542e+07 3.4869745557370536e+07 3.4812965575763695e+07 3.4751415476672247e+07 3.4684279361489609e+07 3.4610565777667202e+07 3.4529157830911055e+07 3.4438448801702231e+07 3.4338645726898223e+07 3.4225945169929639e+07 3.4099587995191067e+07 3.3957740754994586e+07 3.3798430369956948e+07 3.3619622088720657e+07 3.3419274974788383e+07 3.3195129882995155e+07 3.2947514922312226e+07 3.2672063814383328e+07 3.2369737255468380e+07 3.2041234622421436e+07 3.1689132571462668e+07 3.1317815107751556e+07 3.0935626699403681e+07 3.0554982641278822e+07 3.0196242800376363e+07 2.9884943995688733e+07 2.9661148395017408e+07 2.9580640826494489e+07 2.9724503395842467e+07 3.0210717895664752e+07 3.1218072237756580e+07 3.3029590842342727e+07 3.6122214348182820e+07 6.3159348372016419e+06 +1.0935911970657159e+01 1.1933458725434276e+08 1.1932265388927160e+08 1.1930238588667241e+08 1.1927532162647171e+08 1.1924712579093274e+08 1.1922698403729421e+08 1.1921914138283765e+08 1.1921653218997726e+08 1.1921166435443956e+08 1.1920254295902812e+08 1.1918945273956986e+08 1.1917190788815343e+08 1.1914901310347377e+08 1.1911985334639296e+08 1.1908346185631606e+08 1.1903865831996980e+08 1.1898402880359976e+08 1.1891792963173015e+08 1.1883843844253372e+08 1.1874328663736646e+08 1.1862981613671578e+08 1.1849485364315419e+08 1.1833399991925259e+08 1.1813968939734873e+08 1.1790378874033138e+08 1.1762220799657501e+08 1.1729021646872683e+08 1.1690042255992636e+08 1.1644379666097932e+08 1.1591001267493308e+08 1.1528743789106728e+08 1.1456308161937378e+08 1.1372258406554754e+08 1.1275027149420571e+08 1.1162931265735391e+08 1.1034198752902174e+08 1.0887014018642668e+08 1.0719583420096272e+08 1.0530227811983250e+08 1.0317501308418831e+08 1.0061680847431257e+08 9.7770704526703790e+07 9.4640968843656808e+07 9.1244649839873314e+07 8.7613606345585123e+07 8.3795337461691633e+07 7.9852007141664714e+07 7.5857255729413778e+07 7.1890904205117494e+07 6.8031713263222560e+07 6.4350057948018909e+07 6.0903064983496830e+07 5.7731118069341384e+07 5.4853223352357179e+07 5.2271320810373269e+07 4.9975102443941087e+07 4.7944690824131206e+07 4.6156022906106845e+07 4.4583237595283568e+07 4.3202799738713205e+07 4.1991753009188049e+07 4.0931528050406508e+07 4.0004218594639190e+07 3.9196782470762126e+07 3.8495958855883382e+07 3.7890593997376204e+07 3.7372034701205276e+07 3.6931048451705933e+07 3.6558731782113932e+07 3.6248600178306364e+07 3.5992532732204482e+07 3.5784681606825441e+07 3.5618281789252169e+07 3.5487545623803578e+07 3.5384587800874650e+07 3.5301710303374656e+07 3.5233220826342836e+07 3.5173689115941741e+07 3.5117739579622895e+07 3.5078220657843962e+07 3.5038341098595411e+07 3.4997660075448796e+07 3.4955054502990276e+07 3.4911103594522603e+07 3.4864541075094633e+07 3.4816943934608243e+07 3.4764050046341412e+07 3.4707442181832828e+07 3.4646078658653572e+07 3.4579146051248409e+07 3.4505655912331358e+07 3.4424494733059697e+07 3.4334060701071672e+07 3.4234560042174637e+07 3.4122201104939327e+07 3.3996226944983788e+07 3.3854809672039837e+07 3.3695982187468790e+07 3.3517715907500930e+07 3.3317976082151521e+07 3.3094510449614108e+07 3.2847645947913200e+07 3.2573029780345596e+07 3.2271619625341255e+07 3.1944112739952818e+07 3.1593077970114633e+07 3.1222886032530151e+07 3.0841856101921953e+07 3.0462365873320427e+07 3.0104713337759171e+07 2.9794358134851679e+07 2.9571240900451872e+07 2.9490977402070895e+07 2.9634403910023481e+07 3.0119144611209270e+07 3.1123445500482239e+07 3.2929473156494234e+07 3.6012722314794973e+07 6.2932058522424595e+06 +1.0940880293431418e+01 1.1904425580172719e+08 1.1903235048241507e+08 1.1901213087244502e+08 1.1898513000593792e+08 1.1895699813721116e+08 1.1893689785620630e+08 1.1892906389906989e+08 1.1892644811353147e+08 1.1892157643205568e+08 1.1891245813608660e+08 1.1889937654805970e+08 1.1888184633487168e+08 1.1885897354907493e+08 1.1882984438725421e+08 1.1879349330726615e+08 1.1874874156035604e+08 1.1869417706342836e+08 1.1862815825193919e+08 1.1854876522808625e+08 1.1845373233557954e+08 1.1834040497406754e+08 1.1820561407221462e+08 1.1804496655052960e+08 1.1785090748130852e+08 1.1761531355758892e+08 1.1733409979380041e+08 1.1700254312999755e+08 1.1661326319354679e+08 1.1615724388978662e+08 1.1562417492961080e+08 1.1500244198267713e+08 1.1427907566971597e+08 1.1343974080823699e+08 1.1246879193660375e+08 1.1134943004604870e+08 1.1006397156431986e+08 1.0859430127421226e+08 1.0692252747855303e+08 1.0503190677593800e+08 1.0290803040394253e+08 1.0035402905226409e+08 9.7512766789987549e+07 9.4388557855519041e+07 9.0998478420459643e+07 8.7374387060371459e+07 8.3563745735133633e+07 7.9628637795018524e+07 7.5642577681086928e+07 7.1685219916111752e+07 6.7835131583169505e+07 6.4162485723759346e+07 6.0724215381540559e+07 5.7560536763300769e+07 5.4690339109751977e+07 5.2115492857563175e+07 4.9825661284217760e+07 4.7800976021662429e+07 4.6017406410487287e+07 4.4449139562488399e+07 4.3072690034394599e+07 4.1865156362828523e+07 4.0808015373579659e+07 3.9883408510969967e+07 3.9078328475975931e+07 3.8379551665489152e+07 3.7775956039313897e+07 3.7258912964717425e+07 3.6819216907438658e+07 3.6447990482436724e+07 3.6138767978082746e+07 3.5883452564700611e+07 3.5676213201080799e+07 3.5510304655306511e+07 3.5379955889451057e+07 3.5277304539697327e+07 3.5194675148994632e+07 3.5126391695051320e+07 3.5067039686548315e+07 3.5011259488604136e+07 3.4971860323327422e+07 3.4932101660576828e+07 3.4891543983934097e+07 3.4849067600766070e+07 3.4805249963212587e+07 3.4758828671282344e+07 3.4711375747211561e+07 3.4658642246519193e+07 3.4602206030558214e+07 3.4541028575366423e+07 3.4474298921784565e+07 3.4401031619468816e+07 3.4320116535945944e+07 3.4229956752385154e+07 3.4130757686687648e+07 3.4018739439235918e+07 3.3893147251419008e+07 3.3752158775291696e+07 3.3593812876647145e+07 3.3416087122608755e+07 3.3216952932651192e+07 3.2994164909669444e+07 3.2748048824597295e+07 3.2474265324589245e+07 3.2173769078961596e+07 3.1847255230660662e+07 3.1497284836718094e+07 3.1128215361442108e+07 3.0748340755106814e+07 3.0370001215023346e+07 3.0013433025477879e+07 2.9704018855759144e+07 2.9481578141010094e+07 2.9401558048236385e+07 2.9544549681749750e+07 3.0027820596152980e+07 3.1029076344346292e+07 3.2829627998378336e+07 3.5903528327436179e+07 6.2705547814987265e+06 +1.0945848616205677e+01 1.1875447166226202e+08 1.1874259515622576e+08 1.1872242360500015e+08 1.1869548600791898e+08 1.1866741796819144e+08 1.1864735910340774e+08 1.1863953385923292e+08 1.1863691153474548e+08 1.1863203606290066e+08 1.1862292091907935e+08 1.1860984801824097e+08 1.1859233250262547e+08 1.1856948177883260e+08 1.1854038327990596e+08 1.1850407268327466e+08 1.1845937280588564e+08 1.1840487341678786e+08 1.1833893506433889e+08 1.1825964031713493e+08 1.1816472646377900e+08 1.1805154238600275e+08 1.1791692324164978e+08 1.1775648211232577e+08 1.1756267471462786e+08 1.1732738778430113e+08 1.1704654130896150e+08 1.1671541986532912e+08 1.1632665430680746e+08 1.1587124205710891e+08 1.1533888863786769e+08 1.1471799810025468e+08 1.1399562237414630e+08 1.1315745088348597e+08 1.1218786642858259e+08 1.1107010222017951e+08 1.0978651110906829e+08 1.0831901853823672e+08 1.0664977747829577e+08 1.0476209249311107e+08 1.0264160480406801e+08 1.0009180621268100e+08 9.7255384390335187e+07 9.4136699962051928e+07 9.0752856583773345e+07 8.7135712304434493e+07 8.3332691704950392e+07 7.9405797369743541e+07 7.5428417790829316e+07 7.1480041135593325e+07 6.7639041132233933e+07 6.3975389211113162e+07 6.0545825228187546e+07 5.7390398431429870e+07 5.4527881633276217e+07 5.1960076124367736e+07 4.9676616753473274e+07 4.7657644388153918e+07 4.5879160834471107e+07 4.4315401411545135e+07 4.2942930349582203e+07 4.1738900970152050e+07 4.0684836205765024e+07 3.9762925116746098e+07 3.8960195205925137e+07 3.8263460005033314e+07 3.7661629111797765e+07 3.7146098397100016e+07 3.6707689240598433e+07 3.6337550273076624e+07 3.6029234538752869e+07 3.5774669223887347e+07 3.5568040041917451e+07 3.5402621491665132e+07 3.5272659112122528e+07 3.5170313427341521e+07 3.5087931482518144e+07 3.5019853498198524e+07 3.4960680705913819e+07 3.4905069386583745e+07 3.4865789651967555e+07 3.4826151556617178e+07 3.4785716890492804e+07 3.4743369344801866e+07 3.4699684615152910e+07 3.4653404165922448e+07 3.4606095065940186e+07 3.4553521515977703e+07 3.4497256481074929e+07 3.4436264587108925e+07 3.4369737334525652e+07 3.4296692261952713e+07 3.4216022603886411e+07 3.4126136321691044e+07 3.4027238028259963e+07 3.3915559542701952e+07 3.3790348286735855e+07 3.3649787439602092e+07 3.3491921815310832e+07 3.3314735115038484e+07 3.3116204911129449e+07 3.2894092652073532e+07 3.2648722945788965e+07 3.2375769845608391e+07 3.2076185020353369e+07 3.1750661504689679e+07 3.1401752587891784e+07 3.1033802517948490e+07 3.0655080089415602e+07 3.0277888103904881e+07 2.9922401307624865e+07 2.9613925608252451e+07 2.9392159570679110e+07 2.9312382220421903e+07 2.9454940163833104e+07 2.9936745294273734e+07 3.0934964194642421e+07 3.2730054759945121e+07 3.5794631721096061e+07 6.2479813760145819e+06 +1.0950816938979935e+01 1.1846523590429673e+08 1.1845338727497986e+08 1.1843326370642047e+08 1.1840638923789608e+08 1.1837838489565806e+08 1.1835836739242780e+08 1.1835055087639293e+08 1.1834792206634679e+08 1.1834304285945606e+08 1.1833393092025353e+08 1.1832086676217298e+08 1.1830336600323585e+08 1.1828053740419272e+08 1.1825146963515094e+08 1.1821519959442501e+08 1.1817055166593280e+08 1.1811611747234438e+08 1.1805025967657365e+08 1.1797106331613000e+08 1.1787626862708679e+08 1.1776322797592337e+08 1.1762878075305159e+08 1.1746854620372511e+08 1.1727499069366585e+08 1.1704001101351093e+08 1.1675953213132448e+08 1.1642884625926141e+08 1.1604059547902800e+08 1.1558579073596817e+08 1.1505415336503877e+08 1.1443410580044749e+08 1.1371272127954108e+08 1.1287571382648458e+08 1.1190749449217877e+08 1.1079132868682261e+08 1.0950960565299045e+08 1.0804429144869456e+08 1.0637758364831194e+08 1.0449283469517948e+08 1.0237573568156479e+08 9.9830139321147457e+07 9.6998556659809157e+07 9.3885394459928751e+07 9.0507783590516850e+07 8.6897581303028509e+07 8.3102174563098207e+07 7.9183485028009936e+07 7.5214775196104914e+07 7.1275366982693002e+07 6.7443441018707633e+07 6.3788767514851548e+07 6.0367893631660879e+07 5.7220702191076264e+07 5.4365850054209478e+07 5.1805069759118982e+07 4.9527968018637359e+07 4.7514695109755337e+07 4.5741285383276008e+07 4.4182022365753144e+07 4.2813519924437895e+07 4.1612986086849287e+07 4.0561989816485211e+07 3.9642767693902344e+07 3.8842381953620002e+07 3.8147683177232757e+07 3.7547612525949202e+07 3.7033590316838741e+07 3.6596464775874026e+07 3.6227410484035902e+07 3.5919999194837019e+07 3.5666182048018076e+07 3.5460161470683590e+07 3.5295231642215371e+07 3.5165654637834944e+07 3.5063613811477520e+07 3.4981478653010383e+07 3.4913605586047441e+07 3.4854611525358967e+07 3.4799168625915870e+07 3.4760007996845365e+07 3.4720490140438005e+07 3.4680178149714835e+07 3.4637959090421356e+07 3.4594406906503998e+07 3.4548266915971123e+07 3.4501101248658426e+07 3.4448687213572092e+07 3.4392592893263273e+07 3.4331786054866441e+07 3.4265460651784517e+07 3.4192637203382283e+07 3.4112212302027531e+07 3.4022598775750622e+07 3.3924000435518973e+07 3.3812660786072470e+07 3.3687829423963569e+07 3.3547695040615745e+07 3.3390308382006541e+07 3.3213659266719073e+07 3.3015731403061125e+07 3.2794293066450559e+07 3.2549667705750547e+07 3.2277542742737956e+07 3.1978866854431100e+07 3.1654330972931612e+07 3.1306480640959132e+07 3.0939646926237226e+07 3.0562073536070995e+07 3.0186025978146221e+07 2.9831617629021935e+07 2.9524077842835188e+07 2.9302984644079704e+07 2.9223449374758560e+07 2.9365574809678972e+07 2.9845918150161181e+07 3.0841108477402035e+07 3.2630752833882309e+07 3.5686031831638739e+07 6.2254853875438748e+06 +1.0955785261754194e+01 1.1817654720353365e+08 1.1816472659507595e+08 1.1814465073213625e+08 1.1811783928753966e+08 1.1808989852742191e+08 1.1806992233394648e+08 1.1806211456094350e+08 1.1805947931849712e+08 1.1805459643168892e+08 1.1804548774932790e+08 1.1803243238914183e+08 1.1801494644542782e+08 1.1799214003349558e+08 1.1796310306083354e+08 1.1792687364806986e+08 1.1788227774716350e+08 1.1782790883575428e+08 1.1776213169341274e+08 1.1768303382871796e+08 1.1758835842767954e+08 1.1747546134462538e+08 1.1734118620514384e+08 1.1718115842128471e+08 1.1698785501231687e+08 1.1675318283575474e+08 1.1647307184731928e+08 1.1614282189373443e+08 1.1575508628661259e+08 1.1530088949618378e+08 1.1476996867394908e+08 1.1415076463753009e+08 1.1343037193004604e+08 1.1259452917009020e+08 1.1162767564696789e+08 1.1051310895023665e+08 1.0923325468331918e+08 1.0777011947332339e+08 1.0610594543472117e+08 1.0422413280373009e+08 1.0211042243141614e+08 9.9569027741508842e+07 9.6742282928722516e+07 9.3634640644414708e+07 9.0263258700106144e+07 8.6659993280359432e+07 8.2872193500524983e+07 7.8961699931176141e+07 7.5001649033995599e+07 7.1071196576515347e+07 6.7248330350888744e+07 6.3602619739856489e+07 6.0190419700413644e+07 5.7051447160200603e+07 5.4204243504466027e+07 5.1650472910696171e+07 4.9379714247409731e+07 4.7372127373509556e+07 4.5603779262860276e+07 4.4049001649255939e+07 4.2684457999961168e+07 4.1487410969264261e+07 4.0439475476058312e+07 3.9522935525276862e+07 3.8724888012827523e+07 3.8032220485577568e+07 3.7433905593726031e+07 3.6921388043109544e+07 3.6485542838797212e+07 3.6117570446117923e+07 3.5811061281617858e+07 3.5557990376191556e+07 3.5352576829592407e+07 3.5188134451728448e+07 3.5058941813350961e+07 3.4957205040583007e+07 3.4875316010341853e+07 3.4807647309666879e+07 3.4748831497014508e+07 3.4693556559708968e+07 3.4654514711832531e+07 3.4615116766708493e+07 3.4574927116954088e+07 3.4532836193747647e+07 3.4489416194199570e+07 3.4443416279304989e+07 3.4396393654103950e+07 3.4344138698989511e+07 3.4288214627846763e+07 3.4227592340490654e+07 3.4161468236626901e+07 3.4088865808186717e+07 3.4008684996271968e+07 3.3919343482166909e+07 3.3821044277882688e+07 3.3710042540818736e+07 3.3585590036889136e+07 3.3445880954742309e+07 3.3288971956067346e+07 3.3112858960217431e+07 3.2915531794766754e+07 3.2694765543243647e+07 3.2450882499402545e+07 3.2179583415938251e+07 3.1881813986717582e+07 3.1558263046984226e+07 3.1211468414006419e+07 3.0845748011183657e+07 3.0469320526998658e+07 3.0094414276628662e+07 2.9741081435126491e+07 2.9434475010728698e+07 2.9214052816539269e+07 2.9134758968018591e+07 2.9276453073501870e+07 2.9755338609017309e+07 3.0747508619307447e+07 3.2531721613661591e+07 3.5577727995688736e+07 6.2030665685486095e+06 +1.0960753584528453e+01 1.1788840371617004e+08 1.1787661231890367e+08 1.1785658413944951e+08 1.1782983574240567e+08 1.1780195846887656e+08 1.1778202353575563e+08 1.1777422452046672e+08 1.1777158289829597e+08 1.1776669638645761e+08 1.1775759101304674e+08 1.1774454450568488e+08 1.1772707343544757e+08 1.1770428927252738e+08 1.1767528316223928e+08 1.1763909444893053e+08 1.1759455065349929e+08 1.1754024711023182e+08 1.1747455071697891e+08 1.1739555145578545e+08 1.1730099546521792e+08 1.1718824208984475e+08 1.1705413919387044e+08 1.1689431835864228e+08 1.1670126726143937e+08 1.1646690283863153e+08 1.1618716004076073e+08 1.1585734634785782e+08 1.1547012630319233e+08 1.1501653790538557e+08 1.1448633412454297e+08 1.1386797416291147e+08 1.1314857386730531e+08 1.1231389644440651e+08 1.1134840940991078e+08 1.1023544251253594e+08 1.0895745768487468e+08 1.0749650207763970e+08 1.0583486228116654e+08 1.0395598623846945e+08 1.0184566444667220e+08 9.9308470835619986e+07 9.6486562525552109e+07 9.3384437809099689e+07 9.0019281170615479e+07 8.6422947459659383e+07 8.2642747707427919e+07 7.8740441240072429e+07 7.4789038441128582e+07 7.0867529035957634e+07 6.7053708237124234e+07 6.3416944991391122e+07 6.0013402543299355e+07 5.6882632457323268e+07 5.4043061116511561e+07 5.1496284728752188e+07 4.9231854608229205e+07 4.7229940367216878e+07 4.5466641680087797e+07 4.3916338486968659e+07 4.2555743817930698e+07 4.1362174874606781e+07 4.0317292455668867e+07 3.9403427894463137e+07 3.8607712678232297e+07 3.7917071234398142e+07 3.7320507627919085e+07 3.6809490896030933e+07 3.6374922755669422e+07 3.6008029491016790e+07 3.5702420135247566e+07 3.5450093548262350e+07 3.5245285461633272e+07 3.5081329265743293e+07 3.4952519986274511e+07 3.4851086463906243e+07 3.4769442905211195e+07 3.4701978020940639e+07 3.4643339973835453e+07 3.4588232541951939e+07 3.4549309151642241e+07 3.4510030790815800e+07 3.4469963148395158e+07 3.4428000011769339e+07 3.4384711836052500e+07 3.4338851614493892e+07 3.4291971641738422e+07 3.4239875332686797e+07 3.4184121046312988e+07 3.4123682806634635e+07 3.4057759452899039e+07 3.3985377441562660e+07 3.3905440053333230e+07 3.3816369809322551e+07 3.3718368925560445e+07 3.3607704179207295e+07 3.3483629500145942e+07 3.3344344559142750e+07 3.3187911917609662e+07 3.3012333578950725e+07 3.2815605473320354e+07 3.2595509473649804e+07 3.2352366722445857e+07 3.2081891265986253e+07 3.1785025823547632e+07 3.1462457139172252e+07 3.1116715325852551e+07 3.0752105198410876e+07 3.0376820494780615e+07 3.0003052439000394e+07 2.9650792172130406e+07 2.9345116563786481e+07 2.9125363544010676e+07 2.9046310457693074e+07 2.9187574410122648e+07 2.9665006116740499e+07 3.0654164047825087e+07 3.2432960493526634e+07 3.5469719550766043e+07 6.1807246721973065e+06 +1.0965721907302711e+01 1.1760080767037915e+08 1.1758904385236552e+08 1.1756906360387535e+08 1.1754237819068745e+08 1.1751456432370095e+08 1.1749467060278842e+08 1.1748688035976982e+08 1.1748423241021359e+08 1.1747934232806246e+08 1.1747024031549238e+08 1.1745720271540956e+08 1.1743974657665071e+08 1.1741698472413802e+08 1.1738800954171623e+08 1.1735186159870672e+08 1.1730736998606850e+08 1.1725313189608778e+08 1.1718751634655958e+08 1.1710861579552552e+08 1.1701417933630903e+08 1.1690156980680144e+08 1.1676763931245291e+08 1.1660802560672629e+08 1.1641522702931847e+08 1.1618117060724214e+08 1.1590179629266354e+08 1.1557241919821140e+08 1.1518571510001141e+08 1.1473273552829772e+08 1.1420324927438204e+08 1.1358573392565304e+08 1.1286732663035251e+08 1.1203381517721680e+08 1.1106969529573274e+08 1.0995832887323678e+08 1.0868221414025061e+08 1.0722343872490916e+08 1.0556433362941474e+08 1.0368839441685133e+08 1.0158146111835603e+08 9.9048467963635892e+07 9.6231394777388930e+07 9.3134785246321067e+07 8.9775850259034976e+07 8.6186443062855795e+07 8.2413836373111829e+07 7.8519708115014806e+07 7.4576942553818911e+07 7.0664363479773536e+07 6.6859573785851374e+07 6.3231742374822289e+07 5.9836841269711271e+07 5.6714257201336771e+07 5.3882302023591220e+07 5.1342504363671288e+07 4.9084388270332970e+07 4.7088133279439896e+07 4.5329871842545889e+07 4.3784032104662970e+07 4.2427376620946817e+07 4.1237277060976401e+07 4.0195440027266033e+07 3.9284244085914604e+07 3.8490855245307624e+07 3.7802234728856169e+07 3.7207417942122370e+07 3.6697898196509585e+07 3.6264603853630193e+07 3.5898786951194033e+07 3.5594075092673898e+07 3.5342490904955789e+07 3.5138286710620135e+07 3.4974815430638261e+07 3.4846388505041905e+07 3.4745257431571141e+07 3.4663858689079225e+07 3.4596597072553039e+07 3.4538136309589535e+07 3.4483195927445278e+07 3.4444390671729364e+07 3.4405231569033712e+07 3.4365285600982554e+07 3.4323449902245343e+07 3.4280293190547563e+07 3.4234572281009242e+07 3.4187834571842410e+07 3.4135896475923061e+07 3.4080311511000894e+07 3.4020056816727012e+07 3.3954333665294610e+07 3.3882171469571799e+07 3.3802476840726107e+07 3.3713677126375444e+07 3.3615973749548271e+07 3.3505645074287392e+07 3.3381947189074963e+07 3.3243085231837559e+07 3.3087127647536166e+07 3.2912082507078126e+07 3.2715951826543123e+07 3.2496524249581575e+07 3.2254119771417059e+07 3.1984465694458395e+07 3.1688501771941051e+07 3.1366912662588589e+07 3.1022220795979723e+07 3.0658717914250154e+07 3.0284572872758366e+07 2.9911939905534551e+07 2.9560749286881797e+07 2.9256001954628170e+07 2.9036916283186495e+07 2.8958103301924698e+07 2.9098938275026653e+07 2.9574920119955622e+07 3.0561074191092830e+07 3.2334468868402839e+07 3.5362005835166670e+07 6.1584594523634147e+06 +1.0970690230076970e+01 1.1731375733479784e+08 1.1730202192587647e+08 1.1728208890401906e+08 1.1725546623255627e+08 1.1722771569432898e+08 1.1720786313706459e+08 1.1720008168091252e+08 1.1719742745596980e+08 1.1719253385790589e+08 1.1718343525784782e+08 1.1717040661932194e+08 1.1715296546960644e+08 1.1713022598853378e+08 1.1710128179892395e+08 1.1706517469644868e+08 1.1702073534317674e+08 1.1696656279074365e+08 1.1690102817871682e+08 1.1682222644323042e+08 1.1672790963504282e+08 1.1661544408783801e+08 1.1648168615139946e+08 1.1632227975388639e+08 1.1612973390154758e+08 1.1589598572379836e+08 1.1561698018149589e+08 1.1528804001850931e+08 1.1490185224539560e+08 1.1444948192708912e+08 1.1392071367835020e+08 1.1330404347203985e+08 1.1258662975583428e+08 1.1175428489359133e+08 1.1079153281644204e+08 1.0968176752956820e+08 1.0840752352964476e+08 1.0695092887615648e+08 1.0529435891875957e+08 1.0342135675448620e+08 1.0131781183570999e+08 9.8789018483971462e+07 9.5976779009565651e+07 9.2885682246796533e+07 8.9532965220830977e+07 8.5950479311015829e+07 8.2185458686189726e+07 7.8299499715658367e+07 7.4365360508043244e+07 7.0461699026642576e+07 6.6665926105548747e+07 6.3047010995851219e+07 5.9660734989343226e+07 5.6546320511849888e+07 5.3721965359388836e+07 5.1189130966448247e+07 4.8937314403652057e+07 4.6946705299526379e+07 4.5193468958719879e+07 4.3652081728910282e+07 4.2299355652507558e+07 4.1112716787289768e+07 4.0073917463747919e+07 3.9165383384960532e+07 3.8374315010377958e+07 3.7687710274940871e+07 3.7094635850806817e+07 3.6586609266271688e+07 3.6154585460693538e+07 3.5789842159922659e+07 3.5486025491679505e+07 3.5235181787861660e+07 3.5031579921209663e+07 3.4868592293594263e+07 3.4740546718919463e+07 3.4639717294508830e+07 3.4558562714324243e+07 3.4491503818036504e+07 3.4433219858831637e+07 3.4378446071744375e+07 3.4339758628433943e+07 3.4300718458345786e+07 3.4260893832536526e+07 3.4219185223745003e+07 3.4176159617160074e+07 3.4130577639034286e+07 3.4083981805559784e+07 3.4032201490779184e+07 3.3976785385001585e+07 3.3916713735013984e+07 3.3851190239264525e+07 3.3779247259014502e+07 3.3699794726772882e+07 3.3611264803302824e+07 3.3513858121633537e+07 3.3403864599951815e+07 3.3280542479863539e+07 3.3142102351540823e+07 3.2986618527521756e+07 3.2812105129551034e+07 3.2616570243055712e+07 3.2397809263766117e+07 3.2156141043518264e+07 3.1887306103563916e+07 3.1592241239763830e+07 3.1271629031068869e+07 3.0927984244694453e+07 3.0565585585739039e+07 3.0192577095000584e+07 2.9821076117253188e+07 2.9470952226988725e+07 2.9167130636489056e+07 2.8948710491461225e+07 2.8870136959558979e+07 2.9010544124462400e+07 2.9485080065978598e+07 3.0468238478020296e+07 3.2236246134055771e+07 3.5254586188061185e+07 6.1362706636237092e+06 +1.0975658552851229e+01 1.1702725257957776e+08 1.1701554511566584e+08 1.1699565960468829e+08 1.1696909948201588e+08 1.1694141218219699e+08 1.1692160073800589e+08 1.1691382808316374e+08 1.1691116763443553e+08 1.1690627057474707e+08 1.1689717543864276e+08 1.1688415581573786e+08 1.1686672971213412e+08 1.1684401266314034e+08 1.1681509953088243e+08 1.1677903333855928e+08 1.1673464632047142e+08 1.1668053938901132e+08 1.1661508580718854e+08 1.1653638299169464e+08 1.1644218595271175e+08 1.1632986452271190e+08 1.1619627929849099e+08 1.1603708038558881e+08 1.1584478746091913e+08 1.1561134776797670e+08 1.1533271128288430e+08 1.1500420837984622e+08 1.1461853730518077e+08 1.1416677666124292e+08 1.1363872688849017e+08 1.1302290234588830e+08 1.1230648277772036e+08 1.1147530511638224e+08 1.1051392148189804e+08 1.0940575797648916e+08 1.0813338533095998e+08 1.0667897199007809e+08 1.0502493758656184e+08 1.0315487266467893e+08 1.0105471598582403e+08 9.8530121753082931e+07 9.5722714545664161e+07 9.2637128099864379e+07 8.9290625310412794e+07 8.5715055424256518e+07 8.1957613834378287e+07 7.8079815201050788e+07 7.4154291439408168e+07 7.0259534795078054e+07 6.6472764304791778e+07 6.2862749960420340e+07 5.9485082812273845e+07 5.6378821508844167e+07 5.3562050258390076e+07 5.1036163688892089e+07 4.8790632178848542e+07 4.6805655617675342e+07 4.5057432237772115e+07 4.3520486587124363e+07 4.2171680156924054e+07 4.0988493313265696e+07 3.9952724038712658e+07 3.9046845077701449e+07 3.8258091270615056e+07 3.7573497179557666e+07 3.6982160669276364e+07 3.6475623427894056e+07 3.6044866905657217e+07 3.5681194451378152e+07 3.5378270670892447e+07 3.5128165539323255e+07 3.4925164438893519e+07 3.4762659202647984e+07 3.4634993977946334e+07 3.4534465404433645e+07 3.4453554334051453e+07 3.4386697611705646e+07 3.4328589976952240e+07 3.4273982331267685e+07 3.4235412378890723e+07 3.4196490816670328e+07 3.4156787201657213e+07 3.4115205335616104e+07 3.4072310476016305e+07 3.4026867049660511e+07 3.3980412704786859e+07 3.3928789740133002e+07 3.3873542032236643e+07 3.3813652926520079e+07 3.3748328541094080e+07 3.3676604177476875e+07 3.3597393080562517e+07 3.3509132210874710e+07 3.3412021414396882e+07 3.3302362130814351e+07 3.3179414749444328e+07 3.3041395297843460e+07 3.2886383940014333e+07 3.2712400832100585e+07 3.2517460112252589e+07 3.2299363909708522e+07 3.2058429936760008e+07 3.1790411896397039e+07 3.1496243635550123e+07 3.1176605659155473e+07 3.0834005092985690e+07 3.0472707640680756e+07 3.0100832596266054e+07 2.9730460515883666e+07 2.9381400440708604e+07 2.9078502063349541e+07 2.8860745626871515e+07 2.8782410890095573e+07 2.8922391415295389e+07 2.9395485402804259e+07 3.0375656338178091e+07 3.2138291687005222e+07 3.5147459949469723e+07 6.1141580612566872e+06 +1.0980626875625488e+01 1.1674129195751709e+08 1.1672961326599354e+08 1.1670977528639747e+08 1.1668327755800556e+08 1.1665565338713893e+08 1.1663588300199676e+08 1.1662811916304514e+08 1.1662545254185648e+08 1.1662055207451411e+08 1.1661146045363960e+08 1.1659844989998324e+08 1.1658103889935043e+08 1.1655834434260979e+08 1.1652946233169574e+08 1.1649343711855780e+08 1.1644910251079406e+08 1.1639506128289668e+08 1.1632968882318218e+08 1.1625108503075457e+08 1.1615700787793283e+08 1.1604483069833866e+08 1.1591141833874752e+08 1.1575242708472316e+08 1.1556038728770444e+08 1.1532725631669660e+08 1.1504898917001304e+08 1.1472092385080636e+08 1.1433576984254847e+08 1.1388461928778733e+08 1.1335728845471832e+08 1.1274231008852135e+08 1.1202688522746155e+08 1.1119687536571781e+08 1.1023686079931545e+08 1.0913029970642328e+08 1.0785979901991697e+08 1.0640756752335887e+08 1.0475606906803927e+08 1.0288894155898301e+08 1.0079217295400412e+08 9.8271777125762552e+07 9.5469200708026662e+07 9.2389122093490660e+07 8.9048829780983493e+07 8.5480170621525809e+07 8.1730301004474714e+07 7.7860653729799658e+07 7.3943734483146235e+07 7.0057869903465405e+07 6.6280087492365569e+07 6.2678958374811314e+07 5.9309883849093482e+07 5.6211759313003697e+07 5.3402555855637759e+07 5.0883601683471985e+07 4.8644340767473750e+07 4.6664983424759448e+07 4.4921760889827542e+07 4.3389245907588691e+07 4.2044349379296616e+07 4.0864605899490364e+07 3.9831859026754484e+07 3.8928628451149374e+07 3.8142183323997572e+07 3.7459594750294946e+07 3.6869991713591032e+07 3.6364940004780084e+07 3.5935447518178523e+07 3.5572843160552651e+07 3.5270809969770975e+07 3.5021441502525575e+07 3.4819039609964401e+07 3.4657015506635875e+07 3.4529729633072607e+07 3.4429501113931112e+07 3.4348832902196772e+07 3.4282177808744088e+07 3.4224246020173199e+07 3.4169804063258886e+07 3.4131351281009153e+07 3.4092548002649836e+07 3.4052965067739330e+07 3.4011509598099269e+07 3.3968745128165066e+07 3.3923439874733344e+07 3.3877126632239655e+07 3.3825660587713324e+07 3.3770580817464784e+07 3.3710873757118925e+07 3.3645747937850706e+07 3.3574241593444012e+07 3.3495271272010282e+07 3.3407278720660586e+07 3.3310463001248244e+07 3.3201137042320266e+07 3.3078563375574093e+07 3.2940963451067001e+07 3.2786423268258303e+07 3.2612969001218002e+07 3.2418620824283771e+07 3.2201187581640434e+07 3.1960985849893782e+07 3.1693782476696104e+07 3.1400508368631706e+07 3.1081841962186035e+07 3.0740282762567829e+07 3.0380083507580992e+07 3.0009338812028579e+07 2.9640092543861244e+07 2.9292093377024882e+07 2.8990115689842947e+07 2.8773021148119453e+07 2.8694924553769901e+07 2.8834479605126802e+07 2.9306135579150151e+07 3.0283327201919965e+07 3.2040604924524818e+07 3.5040626460187607e+07 6.0921214012409607e+06 +1.0985595198399746e+01 1.1645587687275453e+08 1.1644422570683455e+08 1.1642443560897696e+08 1.1639800007287210e+08 1.1637043890640008e+08 1.1635070952271360e+08 1.1634295451443250e+08 1.1634028177156812e+08 1.1633537795054777e+08 1.1632628989598866e+08 1.1631328846494952e+08 1.1629589262382877e+08 1.1627322061902072e+08 1.1624436979284061e+08 1.1620838562738802e+08 1.1616410350445932e+08 1.1611012806187671e+08 1.1604483681493254e+08 1.1596633214764236e+08 1.1587237499653250e+08 1.1576034219906110e+08 1.1562710285470518e+08 1.1546831943148036e+08 1.1527653295929356e+08 1.1504371094417445e+08 1.1476581341326271e+08 1.1443818599724129e+08 1.1405354941804038e+08 1.1360300936113289e+08 1.1307639792416203e+08 1.1246226623865464e+08 1.1174783663412572e+08 1.1091899515943746e+08 1.0996035027360991e+08 1.0885539220947161e+08 1.0758676406972876e+08 1.0613671493030053e+08 1.0448775279619455e+08 1.0262356284660846e+08 1.0053018212383606e+08 9.8013983955051810e+07 9.5216236817020193e+07 9.2141663514159799e+07 8.8807577884520128e+07 8.5245824120758489e+07 8.1503519382843167e+07 7.7642014459770977e+07 7.3733688774279013e+07 6.9856703470223799e+07 6.6087894776955329e+07 6.2495635345485993e+07 5.9135137210793525e+07 5.6045133045427464e+07 5.3243481286818348e+07 5.0731444103334308e+07 4.8498439341750063e+07 4.6524687912656575e+07 4.4786454125770196e+07 4.3258358919331402e+07 4.1917362565617941e+07 4.0741053807417452e+07 3.9711321703222647e+07 3.8810732793148644e+07 3.8026590469394520e+07 3.7346002295779325e+07 3.6758128300812721e+07 3.6254558321175233e+07 3.5826326628755495e+07 3.5464787623196416e+07 3.5163642728587806e+07 3.4915009021545261e+07 3.4713204781555720e+07 3.4551660555220105e+07 3.4424753035953455e+07 3.4324823776390150e+07 3.4244397773612045e+07 3.4177943765090182e+07 3.4120187345546968e+07 3.4065910625728972e+07 3.4027574693588719e+07 3.3988889375771150e+07 3.3949426791061088e+07 3.3908097372209355e+07 3.3865462935375139e+07 3.3820295476911835e+07 3.3774122951470204e+07 3.3722813397956543e+07 3.3667901106187113e+07 3.3608375593483225e+07 3.3543447797444232e+07 3.3472158876114953e+07 3.3393428671818804e+07 3.3305703705025584e+07 3.3209182256343976e+07 3.3100188710764695e+07 3.2977987736813225e+07 3.2840806192341261e+07 3.2686735896301653e+07 3.2513809024231937e+07 3.2320051770116221e+07 3.2103279674578231e+07 3.1863808182489317e+07 3.1597417249082983e+07 3.1305034849047367e+07 3.0987337356182624e+07 3.0646816675947245e+07 3.0287712615685843e+07 2.9918095178500321e+07 2.9549971644316673e+07 2.9203030485607781e+07 2.8901970971341833e+07 2.8685536514690224e+07 2.8607677411477964e+07 2.8746808152239252e+07 2.9217030044454295e+07 3.0191250500307713e+07 3.1943185244632021e+07 3.4934085061927684e+07 6.0701604402536796e+06 +1.0990563521174005e+01 1.1617100563703747e+08 1.1615938294014010e+08 1.1613964009765664e+08 1.1611326662649472e+08 1.1608576833370756e+08 1.1606607989107212e+08 1.1605833372852278e+08 1.1605565491444039e+08 1.1605074779332533e+08 1.1604166335601833e+08 1.1602867110067967e+08 1.1601129047517546e+08 1.1598864108163567e+08 1.1595982150316048e+08 1.1592387845325567e+08 1.1587964888884804e+08 1.1582573931264797e+08 1.1576052936842568e+08 1.1568212392704572e+08 1.1558828689180502e+08 1.1547639860646647e+08 1.1534333242608994e+08 1.1518475700334312e+08 1.1499322405063331e+08 1.1476071122213022e+08 1.1448318358035742e+08 1.1415599438253060e+08 1.1377187558969297e+08 1.1332194643296748e+08 1.1279605484139071e+08 1.1218277033260457e+08 1.1146933652430950e+08 1.1064166401302661e+08 1.0968438940731357e+08 1.0858103497337227e+08 1.0731427995163959e+08 1.0586641366315359e+08 1.0421998820206916e+08 1.0235873593524097e+08 1.0026874287658177e+08 9.7756741592258126e+07 9.4963822191525877e+07 9.1894751646932036e+07 8.8566868871605292e+07 8.5012015139017969e+07 8.1277268154732257e+07 7.7423896548537388e+07 7.3524153447479859e+07 6.9656034613498837e+07 6.5896185267499804e+07 6.2312779979299396e+07 5.8960842008833155e+07 5.5878941827913485e+07 5.3084825688315779e+07 5.0579690102428406e+07 4.8352927074679583e+07 4.6384768273854077e+07 4.4651511157346480e+07 4.3127824852314748e+07 4.1790718962754697e+07 4.0617836299341418e+07 3.9591111344326980e+07 3.8693157392354578e+07 3.7911312006493062e+07 3.7232719125350431e+07 3.6646569748675011e+07 3.6144477702200323e+07 3.5717503568710662e+07 3.5357027176010206e+07 3.5056768288445733e+07 3.4808867441230647e+07 3.4607659301625594e+07 3.4446593698927775e+07 3.4320063539183781e+07 3.4220432746030413e+07 3.4140248303866237e+07 3.4073994837568343e+07 3.4016413310909986e+07 3.3962301377577461e+07 3.3924081976225764e+07 3.3885514296382725e+07 3.3846171732640378e+07 3.3804968019760936e+07 3.3762463260325097e+07 3.3717433219687648e+07 3.3671401026836410e+07 3.3620247536270760e+07 3.3565502264803104e+07 3.3506157803060014e+07 3.3441427488566753e+07 3.3370355395532444e+07 3.3291864651556771e+07 3.3204406537124611e+07 3.3108178554703977e+07 3.2999516513080351e+07 3.2877687212487951e+07 3.2740922903559390e+07 3.2587321208949696e+07 3.2414920289159950e+07 3.2221752341478083e+07 3.2005639584356077e+07 3.1766896334839255e+07 3.1501315618850939e+07 3.1209822487649005e+07 3.0893091257958077e+07 3.0553606256291173e+07 3.0195594394939836e+07 2.9827101132618345e+07 2.9460097261128716e+07 2.9114211216865320e+07 2.8814067363899842e+07 2.8598291186691601e+07 2.8520668924822740e+07 2.8659376515579820e+07 2.9128168248815402e+07 3.0099425665109877e+07 3.1846032046170585e+07 3.4827835097184926e+07 6.0482749356689192e+06 +1.0995531843948264e+01 1.1588667952309772e+08 1.1587508353723072e+08 1.1585538818792807e+08 1.1582907680713561e+08 1.1580164125853609e+08 1.1578199369499785e+08 1.1577425639363186e+08 1.1577157155862249e+08 1.1576666119084348e+08 1.1575758042149669e+08 1.1574459739464580e+08 1.1572723204048626e+08 1.1570460531699379e+08 1.1567581704878025e+08 1.1563991518171872e+08 1.1559573824892445e+08 1.1554189461923775e+08 1.1547676606652938e+08 1.1539845995084153e+08 1.1530474314430588e+08 1.1519299949963032e+08 1.1506010662998298e+08 1.1490173937529443e+08 1.1471046013397862e+08 1.1447825671956423e+08 1.1420109923670524e+08 1.1387434856728488e+08 1.1349074791288669e+08 1.1304143005266517e+08 1.1251625874851340e+08 1.1190382190403029e+08 1.1119138442212544e+08 1.1036488143935162e+08 1.0940897770061192e+08 1.0830722748393740e+08 1.0704234613437854e+08 1.0559666317181443e+08 1.0395277471457805e+08 1.0209446023020934e+08 1.0000785459215176e+08 9.7500049386933446e+07 9.4711956149091855e+07 9.1648385775633723e+07 8.8326701991814554e+07 8.4778742892350018e+07 8.1051546504944161e+07 7.7206299153038681e+07 7.3315127637150750e+07 6.9455862451481313e+07 6.5704958073023453e+07 6.2130391383296885e+07 5.8786997355032913e+07 5.5713184782675654e+07 5.2926588197183482e+07 5.0428338835368358e+07 4.8207803140049472e+07 4.6245223701711498e+07 4.4516931197012626e+07 4.2997642937312335e+07 4.1664417818331696e+07 4.0494952638379350e+07 3.9471227227175817e+07 3.8575901538322173e+07 3.7796347235857882e+07 3.7119744549206458e+07 3.6535315375902750e+07 3.6034697473794550e+07 3.5608977670242637e+07 3.5249561156476118e+07 3.4950185991338462e+07 3.4703016107293874e+07 3.4502402519010402e+07 3.4341814289089307e+07 3.4215660496168219e+07 3.4116327377887703e+07 3.4036383849394329e+07 3.3970330383803897e+07 3.3912923274950951e+07 3.3858975678483613e+07 3.3820872489317983e+07 3.3782422125595286e+07 3.3743199254381098e+07 3.3702120903425679e+07 3.3659745466464050e+07 3.3614852467402801e+07 3.3568960223500527e+07 3.3517962368724409e+07 3.3463383660446573e+07 3.3404219754172686e+07 3.3339686380707588e+07 3.3268830522561058e+07 3.3190578583509907e+07 3.3103386591017127e+07 3.3007451272086229e+07 3.2899119827186715e+07 3.2777661182729233e+07 3.2641312967483617e+07 3.2488178591836993e+07 3.2316302184919938e+07 3.2123721930811398e+07 3.1908266707553167e+07 3.1670249708035294e+07 3.1405476992090750e+07 3.1114870696013082e+07 3.0799103085072268e+07 3.0460650927587003e+07 3.0103728276063934e+07 2.9736356112031523e+07 2.9370468838863775e+07 2.9025635021853849e+07 2.8726404324269649e+07 2.8511284624918532e+07 2.8433898556046169e+07 2.8572184154840894e+07 2.9039549643087599e+07 3.0007852128873225e+07 3.1749144728707306e+07 3.4721875909344375e+07 6.0264646455560913e+06 +1.1000500166722523e+01 1.1560289564096703e+08 1.1559132764380743e+08 1.1557167941090274e+08 1.1554543019101952e+08 1.1551805726594505e+08 1.1549845051993106e+08 1.1549072209555496e+08 1.1548803128951186e+08 1.1548311772827460e+08 1.1547404067742069e+08 1.1546106693143137e+08 1.1544371690411781e+08 1.1542111290921192e+08 1.1539235601312941e+08 1.1535649539565313e+08 1.1531237116679914e+08 1.1525859356300890e+08 1.1519354648971535e+08 1.1511533979834945e+08 1.1502174333201014e+08 1.1491014445478666e+08 1.1477742504084826e+08 1.1461926611949031e+08 1.1442824077906695e+08 1.1419634700305077e+08 1.1391955994474769e+08 1.1359324810976443e+08 1.1321016594061865e+08 1.1276145976690912e+08 1.1223700918511672e+08 1.1162542048434038e+08 1.1091397984927037e+08 1.1008864694897959e+08 1.0913411465131618e+08 1.0803396922409520e+08 1.0677096208458899e+08 1.0532746290422234e+08 1.0368611176051366e+08 1.0183073513489023e+08 9.9747516648152530e+07 9.7243906687016591e+07 9.4460638005422473e+07 9.1402565182568997e+07 8.8087076493606493e+07 8.4546006595875934e+07 8.0826353617272720e+07 7.6989221429650486e+07 7.3106610477288380e+07 6.9256186102231368e+07 6.5514212302677251e+07 6.1948468664930999e+07 5.8613602361759000e+07 5.5547861032654442e+07 5.2768767951077096e+07 5.0277389457548924e+07 4.8063066712464586e+07 4.6106053390480816e+07 4.4382713458228081e+07 4.2867812405934542e+07 4.1538458380949676e+07 4.0372402088555381e+07 3.9351668629688993e+07 3.8458964521463677e+07 3.7681695458903626e+07 3.7007077878451616e+07 3.6424364501957268e+07 3.5925216962713487e+07 3.5500748266316608e+07 3.5142388902882695e+07 3.4843895180047750e+07 3.4597454366280161e+07 3.4397433783314258e+07 3.4237321677878544e+07 3.4111543261095740e+07 3.4012507027897090e+07 3.3932803767509721e+07 3.3866949762253769e+07 3.3809716597202167e+07 3.3755932888970539e+07 3.3717945594087303e+07 3.3679612225398652e+07 3.3640508718992367e+07 3.3599555386709057e+07 3.3557308918083474e+07 3.3512552585145570e+07 3.3466799907460079e+07 3.3415957262324736e+07 3.3361544661121301e+07 3.3302560815913897e+07 3.3238223844204362e+07 3.3167583628829211e+07 3.3089569840834100e+07 3.3002643241399374e+07 3.2906999785111208e+07 3.2798998031709496e+07 3.2677909028497998e+07 3.2541975767614033e+07 3.2389307431353334e+07 3.2217954101144228e+07 3.2025959931485996e+07 3.1811160441510983e+07 3.1573867703915719e+07 3.1309900775660861e+07 3.1020178886488277e+07 3.0705372255852766e+07 3.0367950114566032e+07 3.0012113690532483e+07 2.9645859555123076e+07 2.9281085822786801e+07 2.8937301352388036e+07 2.8638981309884842e+07 2.8424516290916026e+07 2.8347365768178474e+07 2.8485230530386698e+07 2.8951173678784035e+07 2.9916529324834209e+07 3.1652522692661330e+07 3.4616206842627414e+07 6.0047293286783472e+06 +1.1005468489496781e+01 1.1531965449484600e+08 1.1530811513520004e+08 1.1528851348069069e+08 1.1526232634658666e+08 1.1523501593707316e+08 1.1521544994847059e+08 1.1520773041744266e+08 1.1520503368990876e+08 1.1520011698824060e+08 1.1519104370630468e+08 1.1517807929324897e+08 1.1516074464785402e+08 1.1513816343953866e+08 1.1510943797711214e+08 1.1507361867526792e+08 1.1502954722210106e+08 1.1497583572273514e+08 1.1491087021576460e+08 1.1483276304616772e+08 1.1473928703016278e+08 1.1462783304582666e+08 1.1449528723062485e+08 1.1433733680585556e+08 1.1414656555280668e+08 1.1391498163637869e+08 1.1363856526473290e+08 1.1331269256540328e+08 1.1293012922307299e+08 1.1248203512008846e+08 1.1195830568829839e+08 1.1134756560222673e+08 1.1063712232494277e+08 1.0981296005018079e+08 1.0885979975486922e+08 1.0776125967501332e+08 1.0650012726681730e+08 1.0505881230611220e+08 1.0341999876469176e+08 1.0156756005091442e+08 9.9487728420813724e+07 9.6988312838678941e+07 9.4209867074916810e+07 9.1157289148714945e+07 8.7847991624140739e+07 8.4313805463664174e+07 8.0601688675009087e+07 7.6772662534342647e+07 7.2898601101789355e+07 6.9057004683856890e+07 6.5323947065752551e+07 6.1767010931888722e+07 5.8440656141806990e+07 5.5382969701289907e+07 5.2611364088379033e+07 5.0126841125074677e+07 4.7918716967276737e+07 4.5967256535110742e+07 4.4248857155195042e+07 4.2738332490654983e+07 4.1412839899960488e+07 4.0250183914722383e+07 3.9232434830650136e+07 3.8342345633001186e+07 3.7567355977872342e+07 3.6894718425023749e+07 3.6313716447234482e+07 3.5816035496605374e+07 3.5392814690865599e+07 3.5035509754471496e+07 3.4737895198214404e+07 3.4492181565548971e+07 3.4292752445047095e+07 3.4133115218333378e+07 3.4007711189027853e+07 3.3908971052705288e+07 3.3829507416297689e+07 3.3763852332207553e+07 3.3706792638008520e+07 3.3653172370412499e+07 3.3615300652627997e+07 3.3577083958549023e+07 3.3538099490000036e+07 3.3497270833877679e+07 3.3455152980263684e+07 3.3410532938916728e+07 3.3364919445554633e+07 3.3314231584821362e+07 3.3259984635629859e+07 3.3201180358190544e+07 3.3137039250200681e+07 3.3066614086857278e+07 3.2988837797483001e+07 3.2902175863920245e+07 3.2806823471172199e+07 3.2699150506117858e+07 3.2578430131511908e+07 3.2442910688244175e+07 3.2290707114702124e+07 3.2119875428262945e+07 3.1928465737530563e+07 3.1714320184407998e+07 3.1477749725131389e+07 3.1214586377164595e+07 3.0925746472161446e+07 3.0611898189312857e+07 3.0275503242602680e+07 2.9920750070483193e+07 2.9555610900982104e+07 2.9191947658952840e+07 2.8849209660970055e+07 2.8551797778938752e+07 2.8337985646886662e+07 2.8261070024857685e+07 2.8398515103303056e+07 2.8863039808179334e+07 2.9825456686977360e+07 3.1556165339120679e+07 3.4510827242091499e+07 5.9830687444909913e+06 +1.1010436812271040e+01 1.1503695640426517e+08 1.1502544491737130e+08 1.1500589008442314e+08 1.1497976484345032e+08 1.1495251684984183e+08 1.1493299156050783e+08 1.1492528093967330e+08 1.1492257834001696e+08 1.1491765855073860e+08 1.1490858908773495e+08 1.1489563405962142e+08 1.1487831485081936e+08 1.1485575648665740e+08 1.1482706251889737e+08 1.1479128459825812e+08 1.1474726599179479e+08 1.1469362067450674e+08 1.1462873681994608e+08 1.1455072926833506e+08 1.1445737381157632e+08 1.1434606484385173e+08 1.1421369276864874e+08 1.1405595100122908e+08 1.1386543401982489e+08 1.1363416018085317e+08 1.1335811475400709e+08 1.1303268148735987e+08 1.1265063730825202e+08 1.1220315565366556e+08 1.1168014779273726e+08 1.1107025678422336e+08 1.1036081136597036e+08 1.0953782024869363e+08 1.0858603250449871e+08 1.0748909831530230e+08 1.0622984114315414e+08 1.0479071082112283e+08 1.0315443514990823e+08 1.0130493437794583e+08 9.9228489284097612e+07 9.6733267186348185e+07 9.3959642670281917e+07 9.0912556953870401e+07 8.7609446629497826e+07 8.4082138708928332e+07 8.0377550860554174e+07 7.6556621622567147e+07 7.2691098644182056e+07 6.8858317314268500e+07 6.5134161471689820e+07 6.1586017292259425e+07 5.8268157808401711e+07 5.5218509912591547e+07 5.2454375748106278e+07 4.9976692994840547e+07 4.7774753080606796e+07 4.5828832331477582e+07 4.4115361503003418e+07 4.2609202424746409e+07 4.1287561625628084e+07 4.0128297382606722e+07 3.9113525109746918e+07 3.8226044165046625e+07 3.7453328095889442e+07 3.6782665501693495e+07 3.6203370532962576e+07 3.5707152403981887e+07 3.5285176278590664e+07 3.4928923051218502e+07 3.4632185390326604e+07 3.4387197053385407e+07 3.4188357855508424e+07 3.4029194264255315e+07 3.3904163635882214e+07 3.3805718809913620e+07 3.3726494154682674e+07 3.3661037453841358e+07 3.3604150758501306e+07 3.3550693484949093e+07 3.3512937027820487e+07 3.3474836688691352e+07 3.3435970931743458e+07 3.3395266610062562e+07 3.3353277018948499e+07 3.3308792895453695e+07 3.3263318205386855e+07 3.3212784704818215e+07 3.3158702953647137e+07 3.3100077751782712e+07 3.3036131970676623e+07 3.2965921269941229e+07 3.2888381828242041e+07 3.2801983834987611e+07 3.2706921708523378e+07 3.2599576630645879e+07 3.2479223874318201e+07 3.2344117114533313e+07 3.2192377029881280e+07 3.2022065557545118e+07 3.1831238743835539e+07 3.1617745335121896e+07 3.1381895175060123e+07 3.1119533205021661e+07 3.0831572866913658e+07 3.0518680305315379e+07 3.0183309737936027e+07 2.9829636848842699e+07 2.9465609589470442e+07 2.9103053794063672e+07 2.8761359400878139e+07 2.8464853190255657e+07 2.8251692155761685e+07 2.8175010790485147e+07 2.8312037335332047e+07 2.8775147484231733e+07 2.9734633650018815e+07 3.1460072070029661e+07 3.4405736453677423e+07 5.9614826531398967e+06 +1.1015405135045299e+01 1.1475480067532617e+08 1.1474331688505360e+08 1.1472380863400362e+08 1.1469774525786552e+08 1.1467055958006975e+08 1.1465107493349640e+08 1.1464337323996915e+08 1.1464066481746580e+08 1.1463574199319731e+08 1.1462667639905986e+08 1.1461373080738460e+08 1.1459642708955859e+08 1.1457389162671579e+08 1.1454522921411081e+08 1.1450949273973909e+08 1.1446552705017404e+08 1.1441194799196351e+08 1.1434714587475784e+08 1.1426923803645565e+08 1.1417600324638118e+08 1.1406483941737750e+08 1.1393264122156401e+08 1.1377510827029282e+08 1.1358484574185550e+08 1.1335388219528157e+08 1.1307820796771660e+08 1.1275321442618740e+08 1.1237168974136828e+08 1.1192482090713812e+08 1.1140253503066872e+08 1.1079349355423152e+08 1.1008504648683913e+08 1.0926322704813091e+08 1.0831281239116363e+08 1.0721748462132059e+08 1.0596010317369542e+08 1.0452315789078794e+08 1.0288942033686303e+08 1.0104285751358201e+08 9.8969798610536456e+07 9.6478769072978020e+07 9.3709964102911323e+07 9.0668367876248091e+07 8.7371440754676759e+07 8.3851005544000536e+07 8.0153939355754718e+07 7.6341097849260017e+07 7.2484102237775818e+07 6.8660123111444458e+07 6.4944854630082451e+07 6.1405486854352087e+07 5.8096106475365378e+07 5.5054480791184001e+07 5.2297802070016384e+07 4.9826944224421993e+07 4.7631174229460172e+07 4.5690779976205766e+07 4.3982225717551030e+07 4.2480421442498066e+07 4.1162622809065729e+07 4.0006741758753955e+07 3.8994938747469023e+07 3.8110059410592407e+07 3.7339611116954349e+07 3.6670918422131829e+07 3.6093326081176475e+07 3.5598567014168561e+07 3.5177832365036733e+07 3.4822628134030670e+07 3.4526765101731703e+07 3.4282500178842917e+07 3.4084249366859406e+07 3.3925558170392700e+07 3.3800899958373666e+07 3.3702749657901406e+07 3.3623763342485726e+07 3.3558504488013640e+07 3.3501790320747197e+07 3.3448495595631015e+07 3.3410854083422724e+07 3.3372869780268732e+07 3.3334122409456074e+07 3.3293542081272729e+07 3.3251680400905520e+07 3.3207331822372392e+07 3.3161995555451032e+07 3.3111615991747554e+07 3.3057698985551164e+07 3.2999252368215360e+07 3.2935501378393453e+07 3.2865504552150484e+07 3.2788201308677487e+07 3.2702066531832676e+07 3.2607293876158100e+07 3.2500275786382299e+07 3.2380289640308414e+07 3.2245594432348467e+07 3.2094316565712538e+07 3.1924523881022248e+07 3.1734278346043352e+07 3.1521435293408457e+07 3.1286303457902621e+07 3.1024740668381937e+07 3.0737657485400781e+07 3.0425718024418924e+07 3.0091369027510293e+07 2.9738773459287863e+07 2.9375855061155513e+07 2.9014403675593905e+07 2.8673750025995608e+07 2.8378147003419124e+07 2.8165635281128153e+07 2.8089187530126739e+07 2.8225796688956261e+07 2.8687496160617106e+07 2.9644059649438053e+07 3.1364242288105875e+07 3.4300933824120916e+07 5.9399708154598977e+06 +1.1020373457819558e+01 1.1447318623741752e+08 1.1446173032253076e+08 1.1444226873670037e+08 1.1441626716455370e+08 1.1438914370197447e+08 1.1436969964223364e+08 1.1436200689366461e+08 1.1435929269720565e+08 1.1435436689040667e+08 1.1434530521485634e+08 1.1433236911077791e+08 1.1431508093806352e+08 1.1429256843329717e+08 1.1426393763577558e+08 1.1422824267208539e+08 1.1418432996903105e+08 1.1413081724597254e+08 1.1406609695026414e+08 1.1398828891939746e+08 1.1389517490215929e+08 1.1378415633249712e+08 1.1365213215364948e+08 1.1349480817499556e+08 1.1330480027847868e+08 1.1307414723579963e+08 1.1279884445829099e+08 1.1247429092983076e+08 1.1209328606536826e+08 1.1164703041719286e+08 1.1112546693169610e+08 1.1051727543384814e+08 1.0980982719972493e+08 1.0898917994960278e+08 1.0804013890327661e+08 1.0694641806748582e+08 1.0569091281631845e+08 1.0425615295447813e+08 1.0262495374431571e+08 1.0078132885361986e+08 9.8711655770643100e+07 9.6224817839713827e+07 9.3460830682481915e+07 9.0424721192916408e+07 8.7133973243388757e+07 8.3620405180225953e+07 7.9930853341675237e+07 7.6126090368979976e+07 7.2277611015663311e+07 6.8462421193315491e+07 6.4756025650767401e+07 6.1225418726952501e+07 5.7924501256844282e+07 5.4890881462353021e+07 5.2141642194495596e+07 4.9677593972190380e+07 4.7487979591544107e+07 4.5553098666837968e+07 4.3849449015579067e+07 4.2351988778820872e+07 4.1038022702253103e+07 3.9885516310688078e+07 3.8876675025222160e+07 3.7994390663499735e+07 3.7226204345936500e+07 3.6559476500832073e+07 3.5983582414841235e+07 3.5490278657353267e+07 3.5070782286659151e+07 3.4716624344631582e+07 3.4421633678616904e+07 3.4178090291821718e+07 3.3980426332149692e+07 3.3822206292264551e+07 3.3697919514084622e+07 3.3600062955923170e+07 3.3521314340291485e+07 3.3456252796617139e+07 3.3399710687565111e+07 3.3346578066281363e+07 3.3309051183952637e+07 3.3271182598591451e+07 3.3232553289118387e+07 3.3192096614251353e+07 3.3150362493741978e+07 3.3106149088133328e+07 3.3060950865032125e+07 3.3010724815879874e+07 3.2956972102666896e+07 3.2898703579937693e+07 3.2835146846946977e+07 3.2765363308467291e+07 3.2688295615203734e+07 3.2602423332493246e+07 3.2507939353924047e+07 3.2401247355180454e+07 3.2281626813601561e+07 3.2147342028441288e+07 3.1996525111760892e+07 3.1827249791498683e+07 3.1637583940618310e+07 3.1425389459742945e+07 3.1190973978635289e+07 3.0930208177215602e+07 3.0643999742982809e+07 3.0333010767979946e+07 2.9999680539012361e+07 2.9648159336196113e+07 2.9286346757318385e+07 2.8925996751691990e+07 2.8586380990990933e+07 2.8291678678709626e+07 2.8079814487314593e+07 2.8003599709547680e+07 2.8139792627345242e+07 2.8600085291732740e+07 2.9553734121444240e+07 3.1268675396818787e+07 3.4196418701070093e+07 5.9185329929732261e+06 +1.1025341780593816e+01 1.1419211334739670e+08 1.1418068486686747e+08 1.1416127026791760e+08 1.1413533012469667e+08 1.1410826878857155e+08 1.1408886525926615e+08 1.1408118147331010e+08 1.1407846155165473e+08 1.1407353281446403e+08 1.1406447510698149e+08 1.1405154854157525e+08 1.1403427596761104e+08 1.1401178647725748e+08 1.1398318735436991e+08 1.1394753396508725e+08 1.1390367431755668e+08 1.1385022800500923e+08 1.1378558961391897e+08 1.1370788148344640e+08 1.1361488834384856e+08 1.1350401515258828e+08 1.1337216512636918e+08 1.1321505027484858e+08 1.1302529718642069e+08 1.1279495485624403e+08 1.1252002377562778e+08 1.1219591054392149e+08 1.1181542582064585e+08 1.1136978371826638e+08 1.1084894302330579e+08 1.1024160194225983e+08 1.0953515301429421e+08 1.0871567845189676e+08 1.0776801152733071e+08 1.0667589812567163e+08 1.0542226952681276e+08 1.0398969544970055e+08 1.0236103478920317e+08 1.0052034779209697e+08 9.8454060133402780e+07 9.5971412826190144e+07 9.3212241717484787e+07 9.0181616179681122e+07 8.6897043338506088e+07 8.3390336828074142e+07 7.9708291998735145e+07 7.5911598335747987e+07 7.2071624110588044e+07 6.8265210677767068e+07 6.4567673643616617e+07 6.1045812019064166e+07 5.7753341267587341e+07 5.4727711051873468e+07 5.1985895262679540e+07 4.9528641397290103e+07 4.7345168345452376e+07 4.5415787601628147e+07 4.3717030614708625e+07 4.2223903669695735e+07 4.0913760558061734e+07 3.9764620306668431e+07 3.8758733225286603e+07 3.7879037218438886e+07 3.7113107088487171e+07 3.6448339053184666e+07 3.5874138857746176e+07 3.5382286664625444e+07 3.4964025380708188e+07 3.4610911025554642e+07 3.4316790467987143e+07 3.4073966743142009e+07 3.3876888105196662e+07 3.3719137986246094e+07 3.3595221661430009e+07 3.3497658064016104e+07 3.3419146509578973e+07 3.3354281742256358e+07 3.3297911222663268e+07 3.3244940261639509e+07 3.3207527694848135e+07 3.3169774509753868e+07 3.3131262937630214e+07 3.3090929576672237e+07 3.3049322665843226e+07 3.3005244061993185e+07 3.2960183504261009e+07 3.2910110548269264e+07 3.2856521677089214e+07 3.2798430760114122e+07 3.2735067750781801e+07 3.2665496914625328e+07 3.2588664125057925e+07 3.2503053615852620e+07 3.2408857522490863e+07 3.2302490719735615e+07 3.2183234779204924e+07 3.2049359290354170e+07 3.1899002058469959e+07 3.1730242682626650e+07 3.1541154924801141e+07 3.1329607235447213e+07 3.1095906143010732e+07 3.0835935142212521e+07 3.0550599055861134e+07 3.0240557958080940e+07 2.9908243700888634e+07 2.9557793914729957e+07 2.9197084120041199e+07 2.8837832471320622e+07 2.8499251751243651e+07 2.8205447677120436e+07 2.7994229239366185e+07 2.7918246795233030e+07 2.8054024614396829e+07 2.8512914332698766e+07 2.9463656502967980e+07 3.1173370800461315e+07 3.4092190433047183e+07 5.8971689478879161e+06 +1.1030310103368075e+01 1.1391158162211196e+08 1.1390018051033011e+08 1.1388081268084027e+08 1.1385493369047897e+08 1.1382793441106848e+08 1.1380857135457247e+08 1.1380089654885432e+08 1.1379817095075095e+08 1.1379323933515623e+08 1.1378418564501129e+08 1.1377126866884974e+08 1.1375401174708399e+08 1.1373154532700551e+08 1.1370297793779455e+08 1.1366736618623923e+08 1.1362355966240558e+08 1.1357017983489349e+08 1.1350562343064758e+08 1.1342801529227287e+08 1.1333514313393909e+08 1.1322441543869761e+08 1.1309273969893718e+08 1.1293583412670560e+08 1.1274633602012785e+08 1.1251630460780653e+08 1.1224174546727702e+08 1.1191807281159398e+08 1.1153810854502036e+08 1.1109308034221199e+08 1.1057296283040452e+08 1.0996647259624384e+08 1.0926102343797560e+08 1.0844272205163208e+08 1.0749642974730933e+08 1.0640592426577264e+08 1.0515417275879486e+08 1.0372378481164062e+08 1.0209766288609891e+08 1.0025991372096576e+08 9.8197011065690830e+07 9.5718553370362356e+07 9.2964196514708102e+07 8.9939052111048833e+07 8.6660650281625152e+07 8.3160799697167918e+07 7.9486254506708890e+07 7.5697620903191268e+07 7.1866140655243739e+07 6.8068490682683766e+07 6.4379797718769982e+07 6.0866665840194449e+07 5.7582625622777060e+07 5.4564968686214738e+07 5.1830560416370362e+07 4.9380085659582913e+07 4.7202739670497708e+07 4.5278845979752801e+07 4.3584969733433455e+07 4.2096165351854041e+07 4.0789835630180568e+07 3.9644053015915595e+07 3.8641112630749390e+07 3.7763998371027403e+07 3.7000318651233748e+07 3.6337505395404622e+07 3.5764994734547965e+07 3.5274590367876783e+07 3.4857560985326238e+07 3.4505487520276085e+07 3.4212234817795604e+07 3.3970128884406559e+07 3.3773634040760823e+07 3.3616352609597318e+07 3.3492805759691603e+07 3.3395534343135603e+07 3.3317259212662578e+07 3.3252590688417044e+07 3.3196391290559482e+07 3.3143581547176775e+07 3.3106282982345063e+07 3.3068644880740028e+07 3.3030250722627733e+07 3.2990040336961847e+07 3.2948560286498442e+07 3.2904616114039961e+07 3.2859692844079413e+07 3.2809772560835060e+07 3.2756347081774805e+07 3.2698433282811735e+07 3.2635263465153128e+07 3.2565904747225191e+07 3.2489306216282662e+07 3.2403956761558849e+07 3.2310047763364919e+07 3.2204005263615359e+07 3.2085112922878999e+07 3.1951645606423359e+07 3.1801746797036234e+07 3.1633501948842548e+07 3.1444990696630236e+07 3.1234088022551909e+07 3.1001099357548092e+07 3.0741920974892985e+07 3.0457454840990625e+07 3.0148359017564390e+07 2.9817057942345228e+07 2.9467676630791057e+07 2.9108066592038516e+07 2.8749910284070749e+07 2.8412361762857340e+07 2.8119453460333101e+07 2.7908879003019776e+07 2.7833128254375171e+07 2.7968492114700824e+07 2.8425982739335362e+07 2.9373826231693801e+07 3.1078327904063497e+07 3.3988248369357176e+07 5.8758784430962093e+06 +1.1035278426142334e+01 1.1363158982400587e+08 1.1362021628353286e+08 1.1360089528110573e+08 1.1357507742224360e+08 1.1354814013784631e+08 1.1352881749585110e+08 1.1352115168777601e+08 1.1351842046176803e+08 1.1351348601961318e+08 1.1350443639584962e+08 1.1349152905925794e+08 1.1347428784271613e+08 1.1345184454846716e+08 1.1342330895143564e+08 1.1338773890022953e+08 1.1334398556770468e+08 1.1329067229892443e+08 1.1322619796278745e+08 1.1314868990736532e+08 1.1305593883252506e+08 1.1294535674906144e+08 1.1281385542789312e+08 1.1265715928506933e+08 1.1246791633142176e+08 1.1223819603920354e+08 1.1196400907819179e+08 1.1164077727340850e+08 1.1126133377405722e+08 1.1081691981861325e+08 1.1029752587547567e+08 1.0969188691029467e+08 1.0898743797584118e+08 1.0817031024306779e+08 1.0722539304521178e+08 1.0613649595543543e+08 1.0488662196380769e+08 1.0345842047368614e+08 1.0183483744793177e+08 1.0000002603047317e+08 9.7940507932963014e+07 9.5466238808501571e+07 9.2716694379618019e+07 8.9697028260066316e+07 8.6424793313220516e+07 8.2931792996238172e+07 7.9264740044725612e+07 7.5484157224539086e+07 7.1661159782033697e+07 6.7872260326015279e+07 6.4192396986584648e+07 6.0687979299987592e+07 5.7412353438160554e+07 5.4402653492422007e+07 5.1675636798072115e+07 4.9231925919699080e+07 4.7060692746953003e+07 4.5142273001250573e+07 4.3453265591091037e+07 4.1968773062982462e+07 4.0666247173264071e+07 3.9523813708517767e+07 3.8523812525684327e+07 3.7649273417719744e+07 3.6887838341665126e+07 3.6226974844626673e+07 3.5656149370766304e+07 3.5167189099896267e+07 3.4751388439545825e+07 3.4400353173100002e+07 3.4107966076723337e+07 3.3866576068101712e+07 3.3670663494331740e+07 3.3513849520365775e+07 3.3390671168974664e+07 3.3293691155039974e+07 3.3215651812660739e+07 3.3151178999416020e+07 3.3095150256616686e+07 3.3042501289277922e+07 3.3005316413527835e+07 3.2967793079326652e+07 3.2929516012705941e+07 3.2889428264465526e+07 3.2848074725788847e+07 3.2804264615215603e+07 3.2759478256315995e+07 3.2709710226331998e+07 3.2656447690477878e+07 3.2598710522914700e+07 3.2535733366140585e+07 3.2466586183652557e+07 3.2390221267751098e+07 3.2305132150165055e+07 3.2211509458794948e+07 3.2105790371077821e+07 3.1987260631241109e+07 3.1854200365781382e+07 3.1704758719488055e+07 3.1537026985371310e+07 3.1349090654931460e+07 3.1138831223980553e+07 3.0906553029588655e+07 3.0648165087526809e+07 3.0364566516078316e+07 3.0056413370070335e+07 2.9726122693345912e+07 2.9377806920998797e+07 2.9019293616887648e+07 2.8662229640304081e+07 2.8325710482636422e+07 2.8033695490778189e+07 2.7823763244685791e+07 2.7748243554844324e+07 2.7883194593542147e+07 2.8339289968223333e+07 2.9284242746075366e+07 3.0983546113509953e+07 3.3884591860243365e+07 5.8546612421730077e+06 +1.1040246748916593e+01 1.1335213806766991e+08 1.1334079224716501e+08 1.1332151762144469e+08 1.1329576090063345e+08 1.1326888553370509e+08 1.1324960324866213e+08 1.1324194645504583e+08 1.1323920964948501e+08 1.1323427243246858e+08 1.1322522692381459e+08 1.1321232927688567e+08 1.1319510381825686e+08 1.1317268370481941e+08 1.1314417995802438e+08 1.1310865166935556e+08 1.1306495159514481e+08 1.1301170495802133e+08 1.1294731277020171e+08 1.1286990488729405e+08 1.1277727499697849e+08 1.1266683863978341e+08 1.1253551186740361e+08 1.1237902530191571e+08 1.1219003766970418e+08 1.1196062869678582e+08 1.1168681415106867e+08 1.1136402346755791e+08 1.1098510104095636e+08 1.1054130167458114e+08 1.1002263167871054e+08 1.0941784439653699e+08 1.0871439613064262e+08 1.0789844251813626e+08 1.0695490090048115e+08 1.0586761266020937e+08 1.0461961659113260e+08 1.0319360186696956e+08 1.0157255788575649e+08 9.9740684108894438e+07 9.7684550098827526e+07 9.5214468475526810e+07 9.2469734616199747e+07 8.9455543898754314e+07 8.6189471672864676e+07 8.2703315933204427e+07 7.9043747791256428e+07 7.5271206452489927e+07 7.1456680623139724e+07 6.7676518725576714e+07 6.4005470557547495e+07 6.0509751508677378e+07 5.7242523829926088e+07 5.4240764598246701e+07 5.1521123551005550e+07 4.9084161339159630e+07 4.6919026755730525e+07 4.5006067866937071e+07 4.3321917407794997e+07 4.1841726041552730e+07 4.0542994442724772e+07 3.9403901655417651e+07 3.8406832194928817e+07 3.7534861655848406e+07 3.6775665468050450e+07 3.6116746718825765e+07 3.5547602092794158e+07 3.5060082194329657e+07 3.4645507083200462e+07 3.4295507329152115e+07 3.4003983594424970e+07 3.3763307647540130e+07 3.3567975822364159e+07 3.3411628077507634e+07 3.3288817250267662e+07 3.3192127862330981e+07 3.3114323673579417e+07 3.3050046040437970e+07 3.2994187487060890e+07 3.2941698855190031e+07 3.2904627356282130e+07 3.2867218474156484e+07 3.2829058177203216e+07 3.2789092729265165e+07 3.2747865354664691e+07 3.2704188937301263e+07 3.2659539113564473e+07 3.2609922918366559e+07 3.2556822877801877e+07 3.2499261856113888e+07 3.2436476830673579e+07 3.2367540602177992e+07 3.2291408659149121e+07 3.2206579162973687e+07 3.2113241991933629e+07 3.2007845427302837e+07 3.1889677291692849e+07 3.1757022958408736e+07 3.1608037218628939e+07 3.1440817188230403e+07 3.1253454199370559e+07 3.1043836243353691e+07 3.0812266567235194e+07 3.0554666893169139e+07 3.0271933499595091e+07 2.9964720440023530e+07 2.9635437384601183e+07 2.9288184222745035e+07 2.8930764638811886e+07 2.8574789991131339e+07 2.8239297368106063e+07 2.7948173231594693e+07 2.7738881431524731e+07 2.7663592165254995e+07 2.7798131516961992e+07 2.8252835476621602e+07 2.9194905485285360e+07 3.0889024835428413e+07 3.3781220256765597e+07 5.8335171093742456e+06 +1.1045215071690851e+01 1.1307322641213748e+08 1.1306190788886720e+08 1.1304267940987171e+08 1.1301698372119020e+08 1.1299017015941557e+08 1.1297092817620006e+08 1.1296328041290246e+08 1.1296053807630132e+08 1.1295559813580331e+08 1.1294655679093963e+08 1.1293366888326956e+08 1.1291645923498137e+08 1.1289406235699992e+08 1.1286559051811105e+08 1.1283010405343878e+08 1.1278645730363537e+08 1.1273327737028755e+08 1.1266896741033882e+08 1.1259165978860298e+08 1.1249915118223116e+08 1.1238886066419375e+08 1.1225770856900010e+08 1.1210143172667122e+08 1.1191269958188078e+08 1.1168360212431389e+08 1.1141016022584508e+08 1.1108781092985839e+08 1.1070940987619475e+08 1.1026622543483907e+08 1.0974827975802736e+08 1.0914434456479058e+08 1.0844189740296656e+08 1.0762711836683273e+08 1.0668495279068324e+08 1.0559927384332751e+08 1.0435315608822834e+08 1.0292932842086992e+08 1.0131082360845965e+08 9.9481887342851907e+07 9.7429136925202057e+07 9.4963241704541638e+07 9.2223316527148932e+07 8.9214598297844335e+07 8.5954684599064142e+07 8.2475367715052962e+07 7.8823276924083382e+07 7.5058767739477441e+07 7.1252702310609490e+07 6.7481264999349520e+07 6.3819017542413175e+07 6.0331981576765649e+07 5.7073135914839409e+07 5.4079301131905518e+07 5.1367019819095604e+07 4.8936791080109119e+07 4.6777740878657311e+07 4.4870229778529920e+07 4.3190924404734187e+07 4.1715023526982330e+07 4.0420076694963522e+07 3.9284316128449157e+07 3.8290170924279951e+07 3.7420762383609816e+07 3.6663799339626916e+07 3.6006820336859241e+07 3.5439352227909461e+07 3.4953268985691056e+07 3.4539916257025689e+07 3.4190949334475972e+07 3.3900286721320435e+07 3.3660322976930134e+07 3.3465570382133473e+07 3.3309687640807901e+07 3.3187243365354747e+07 3.3090843828527540e+07 3.3013274160275057e+07 3.2949191177488249e+07 3.2893502348952617e+07 3.2841173612924706e+07 3.2804215179429915e+07 3.2766920434705485e+07 3.2728876586335417e+07 3.2689033102390632e+07 3.2647931544859473e+07 3.2604388452911831e+07 3.2559874789307900e+07 3.2510410011291720e+07 3.2457472019167423e+07 3.2400086658942468e+07 3.2337493236461349e+07 3.2268767381850343e+07 3.2192867771049254e+07 3.2108297182148598e+07 3.2015244746714260e+07 3.1910169818256445e+07 3.1792362292483337e+07 3.1660112775089394e+07 3.1511581688117325e+07 3.1344871954316285e+07 3.1158080730372939e+07 3.0949102485154513e+07 3.0718239379398599e+07 3.0461425805666748e+07 3.0179555210835546e+07 2.9873279652529597e+07 2.9545001447610069e+07 2.9198807974168956e+07 2.8842479102844380e+07 2.8487590788385116e+07 2.8153121877545726e+07 2.7862886146609090e+07 2.7654233031408351e+07 2.7579173554914661e+07 2.7713302351667985e+07 2.8166618722538598e+07 2.9105813889224157e+07 3.0794763477230761e+07 3.3678132910858877e+07 5.8124458096353570e+06 +1.1050183394465110e+01 1.1279485350572744e+08 1.1278356251364143e+08 1.1276438032166919e+08 1.1273874547555655e+08 1.1271199357203662e+08 1.1269279183927897e+08 1.1268515312126507e+08 1.1268240530191740e+08 1.1267746268917897e+08 1.1266842555637258e+08 1.1265554743752535e+08 1.1263835365157692e+08 1.1261598006331278e+08 1.1258754018931784e+08 1.1255209560973135e+08 1.1250850224996701e+08 1.1245538909175542e+08 1.1239116143805459e+08 1.1231395416484800e+08 1.1222156694082639e+08 1.1211142237327547e+08 1.1198044508196330e+08 1.1182437810634275e+08 1.1163590161241415e+08 1.1140711586324726e+08 1.1113404684049156e+08 1.1081213919364847e+08 1.1043425980831110e+08 1.0999169062185225e+08 1.0947446962877181e+08 1.0887138692241362e+08 1.0816994129090887e+08 1.0735633727648699e+08 1.0641554819100615e+08 1.0533147896606155e+08 1.0408723990037797e+08 1.0266559956256054e+08 1.0104963402314718e+08 9.9223635117102534e+07 9.7174267772298500e+07 9.4712557827381447e+07 9.1977439413497895e+07 8.8974190726815894e+07 8.5720431329182133e+07 8.2247947547990516e+07 7.8603326620504498e+07 7.4846840237420097e+07 7.1049223976223260e+07 6.7286498265265107e+07 6.3633037052097127e+07 6.0154668615163691e+07 5.6904188810144067e+07 5.3918262222421378e+07 5.1213324747058727e+07 4.8789814305556536e+07 4.6636834298365273e+07 4.4734757938549213e+07 4.3060285803772174e+07 4.1588664759523600e+07 4.0297493187202759e+07 3.9165056400368877e+07 3.8173828000376336e+07 3.7306974900125571e+07 3.6552239266458392e+07 3.5897195018438376e+07 3.5331399104261935e+07 3.4846748809390359e+07 3.4434615302594379e+07 3.4086678535917103e+07 3.3796874808772534e+07 3.3557621411332488e+07 3.3363446531762831e+07 3.3208027570922218e+07 3.3085948876936760e+07 3.2989838417873882e+07 3.2912502638440948e+07 3.2848613777453102e+07 3.2793094210201714e+07 3.2740924931415729e+07 3.2704079252524082e+07 3.2666898331327543e+07 3.2628970611171033e+07 3.2589248755651310e+07 3.2548272669037767e+07 3.2504862535496183e+07 3.2460484657830440e+07 3.2411170880425464e+07 3.2358394490864426e+07 3.2301184308828086e+07 3.2238781962133616e+07 3.2170265902572427e+07 3.2094597984759383e+07 3.2010285590686869e+07 3.1917517107944127e+07 3.1812762930716779e+07 3.1695315022664055e+07 3.1563469207408912e+07 3.1415391522393551e+07 3.1249190681261800e+07 3.1062969649192385e+07 3.0854629354644895e+07 3.0624470875750840e+07 3.0368441239652086e+07 3.0087431069833770e+07 2.9782090433568526e+07 2.9454814314584397e+07 2.9109677614170235e+07 2.8754436454672799e+07 2.8400631484616701e+07 2.8067183469932906e+07 2.7777833700394697e+07 2.7569817512890931e+07 2.7494987193837520e+07 2.7628706565102540e+07 2.8080639164706279e+07 2.9016967398624860e+07 3.0700761447169557e+07 3.3575329175362870e+07 5.7914471085696630e+06 +1.1055151717239369e+01 1.1251701915058808e+08 1.1250575606822619e+08 1.1248661986077400e+08 1.1246104573421133e+08 1.1243435532583173e+08 1.1241519379647304e+08 1.1240756413754073e+08 1.1240481088357337e+08 1.1239986564980686e+08 1.1239083277718361e+08 1.1237796449622013e+08 1.1236078662439376e+08 1.1233843637968439e+08 1.1231002852721335e+08 1.1227462589301442e+08 1.1223108598825881e+08 1.1217803967574306e+08 1.1211389440576249e+08 1.1203678756747951e+08 1.1194452182278526e+08 1.1183452331567965e+08 1.1170372095290354e+08 1.1154786398564820e+08 1.1135964330349554e+08 1.1113116945254226e+08 1.1085847353016300e+08 1.1053700779003741e+08 1.1015965036307906e+08 1.0971769675555307e+08 1.0920120080427910e+08 1.0859897097474422e+08 1.0789852729049586e+08 1.0708609873244336e+08 1.0614668657456809e+08 1.0506422748766562e+08 1.0382186747078003e+08 1.0240241471738504e+08 1.0078898853507507e+08 9.8965926814613938e+07 9.6919941998645455e+07 9.4462416173998013e+07 9.1732102575200096e+07 8.8734320453906402e+07 8.5486711099625722e+07 8.2021054637443587e+07 7.8383896057089359e+07 7.4635423097958580e+07 7.0846244751742855e+07 6.7092217641324542e+07 6.3447528197862089e+07 5.9977811735144660e+07 5.6735681633618705e+07 5.3757646999347709e+07 5.1060037480212972e+07 4.8643230179248445e+07 4.6496306198391609e+07 4.4599651550460786e+07 4.2930000827699341e+07 4.1462648980344757e+07 4.0175243177595802e+07 3.9046121744753204e+07 3.8057802710791491e+07 3.7193498505365469e+07 3.6440984559520334e+07 3.5787870084182851e+07 3.5223742050817423e+07 3.4740521001646288e+07 3.4329603562400497e+07 3.3982694281260185e+07 3.3693747208957590e+07 3.3455202306644533e+07 3.3261603630222064e+07 3.3106647229322188e+07 3.2984933148528870e+07 3.2889110995609246e+07 3.2812008474606372e+07 3.2748313208037511e+07 3.2692962439568937e+07 3.2640952180418104e+07 3.2604218946048062e+07 3.2567151535176698e+07 3.2529339623601865e+07 3.2489739061707456e+07 3.2448888100621376e+07 3.2405610559335653e+07 3.2361368094306234e+07 3.2312204901838910e+07 3.2259589669997051e+07 3.2202554183909871e+07 3.2140342387049351e+07 3.2072035545074821e+07 3.1996598682514645e+07 3.1912543772397887e+07 3.1820058461161010e+07 3.1715624152310099e+07 3.1598534872110032e+07 3.1467091647795182e+07 3.1319466116726264e+07 3.1153772767504264e+07 3.0968120357864596e+07 3.0760416257908698e+07 3.0530960466804538e+07 3.0275712610556733e+07 2.9995560497426350e+07 2.9691152209832497e+07 2.9364875418541212e+07 2.9020792582413360e+07 2.8666636140822109e+07 2.8313911533128984e+07 2.7981481604978021e+07 2.7693015358227819e+07 2.7485634345304824e+07 2.7411032552752484e+07 2.7544343625444595e+07 2.7994896262587313e+07 2.8928365454911314e+07 3.0607018154274717e+07 3.3472808403969634e+07 5.7705207724668272e+06 +1.1060120040013627e+01 1.1223972344745968e+08 1.1222848775687636e+08 1.1220939741371872e+08 1.1218388404171236e+08 1.1215725497395013e+08 1.1213813360386923e+08 1.1213051301668493e+08 1.1212775437627892e+08 1.1212280657242398e+08 1.1211377800775236e+08 1.1210091961351342e+08 1.1208375770717663e+08 1.1206143085943271e+08 1.1203305508458117e+08 1.1199769445579655e+08 1.1195420807017681e+08 1.1190122867310852e+08 1.1183716586354847e+08 1.1176015954535258e+08 1.1166801537584735e+08 1.1155816303726231e+08 1.1142753572622927e+08 1.1127188890667257e+08 1.1108392419467573e+08 1.1085576242881379e+08 1.1058343982780445e+08 1.1026241624759799e+08 1.0988558106415929e+08 1.0944424335365547e+08 1.0892847279532559e+08 1.0832709622460401e+08 1.0762765489550403e+08 1.0681640221785347e+08 1.0587836741233580e+08 1.0479751886486797e+08 1.0355703824055982e+08 1.0213977330868626e+08 1.0052888654768044e+08 9.8708761816473022e+07 9.6666158961174801e+07 9.4212816073087975e+07 9.1487305310695931e+07 8.8494986746217534e+07 8.5253523145877346e+07 8.1794688187967762e+07 7.8164984409894690e+07 7.4424515472339481e+07 7.0643763768611521e+07 6.6898422245574847e+07 6.3262490091051884e+07 5.9801410048398994e+07 5.6567613503644429e+07 5.3597454592984624e+07 5.0907157164724119e+07 4.8497037865789779e+07 4.6356155762944132e+07 4.4464909818494618e+07 4.2800068700257696e+07 4.1336975431492262e+07 4.0053325925138004e+07 3.8927511436116338e+07 3.7942094343914501e+07 3.7080332500201091e+07 3.6330034530699305e+07 3.5678844855611354e+07 3.5116380397489309e+07 3.4634584899601176e+07 3.4224880379741415e+07 3.3878995919103272e+07 3.3590903274931565e+07 3.3353065019659847e+07 3.3160041037372921e+07 3.3005545978407085e+07 3.2884195544525094e+07 3.2788660927728090e+07 3.2711791036206115e+07 3.2648288837817490e+07 3.2593106406644095e+07 3.2541254730500381e+07 3.2504633631346274e+07 3.2467679418286894e+07 3.2429982996385228e+07 3.2390503394103762e+07 3.2349777213927209e+07 3.2306631899597771e+07 3.2262524474701192e+07 3.2213511452444237e+07 3.2161056934521832e+07 3.2104195663289011e+07 3.2042173891491383e+07 3.1974075690934598e+07 3.1898869247311432e+07 3.1815071111922029e+07 3.1722868192811135e+07 3.1618752871478394e+07 3.1502021231513903e+07 3.1370979489465419e+07 3.1223804867184937e+07 3.1058617612356525e+07 3.0873532259254441e+07 3.0666462601759858e+07 3.0437707563857362e+07 3.0183239334555008e+07 2.9903942915204097e+07 2.9600464408788465e+07 2.9275184193275273e+07 2.8932152319293097e+07 2.8579077608516067e+07 2.8227430387984205e+07 2.7896015743147150e+07 2.7608430586126156e+07 2.7401682998604644e+07 2.7327309103092819e+07 2.7460213001534622e+07 2.7909389476358272e+07 2.8840007500239640e+07 3.0513533008346789e+07 3.3370569951202769e+07 5.7496665682912609e+06 +1.1065088362787886e+01 1.1196296563106522e+08 1.1195175670259270e+08 1.1193271252701324e+08 1.1190725992892034e+08 1.1188069206949240e+08 1.1186161081483296e+08 1.1185399931123869e+08 1.1185123533224618e+08 1.1184628500912787e+08 1.1183726079992060e+08 1.1182441234108759e+08 1.1180726645130640e+08 1.1178496305355607e+08 1.1175661941205245e+08 1.1172130084783417e+08 1.1167786804494843e+08 1.1162495563234609e+08 1.1156097535891165e+08 1.1148406964500922e+08 1.1139204714505872e+08 1.1128234108191803e+08 1.1115188894380115e+08 1.1099645240928265e+08 1.1080874382321000e+08 1.1058089432622647e+08 1.1030894526400651e+08 1.0998836409252943e+08 1.0961205143279780e+08 1.0917132993172622e+08 1.0865628511058137e+08 1.0805576217270841e+08 1.0735732359734504e+08 1.0654724721359724e+08 1.0561059017300573e+08 1.0453135255281365e+08 1.0329275164897098e+08 1.0187767475783004e+08 1.0026932746216467e+08 9.8452139502200648e+07 9.6412918015133157e+07 9.3963756851711303e+07 9.1243046917015970e+07 8.8256188869680554e+07 8.5020866702212781e+07 8.1568847403410301e+07 7.7946590854451627e+07 7.4214116511318728e+07 7.0441780158251166e+07 6.6705111196113832e+07 6.3077921843343519e+07 5.9625462667079739e+07 5.6399983539086953e+07 5.3437684134174429e+07 5.0754682947400078e+07 4.8351236530522175e+07 4.6216382177286431e+07 4.4330531947788596e+07 4.2670488645945072e+07 4.1211643355871715e+07 3.9931740689774476e+07 3.8809224749847166e+07 3.7826702189095050e+07 3.6967476186362095e+07 3.6219388492674589e+07 3.5570118655041762e+07 3.5009313475047760e+07 3.4528939841272928e+07 3.4120445098860599e+07 3.3775582798930377e+07 3.3488342360617708e+07 3.3251208908005476e+07 3.3058758113913268e+07 3.2904723181358155e+07 3.2783735430174958e+07 3.2688487581123460e+07 3.2611849691475827e+07 3.2548540036236942e+07 3.2493525481911179e+07 3.2441831953145325e+07 3.2405322680540584e+07 3.2368481353536420e+07 3.2330900103151958e+07 3.2291541127179503e+07 3.2250939384104617e+07 3.2207925932233658e+07 3.2163953175864160e+07 3.2115089910074096e+07 3.2062795663239002e+07 3.2006108126860440e+07 3.1944275856549077e+07 3.1876385722545117e+07 3.1801409063014731e+07 3.1717866994754314e+07 3.1625945690162532e+07 3.1522148477450475e+07 3.1405773492394567e+07 3.1275132126471568e+07 3.1128407170686051e+07 3.0963724615903102e+07 3.0779204757022083e+07 3.0572767793903060e+07 3.0344711578939702e+07 3.0091020828667544e+07 2.9812577745582234e+07 2.9510026458694372e+07 2.9185740073297057e+07 2.8843756265956987e+07 2.8491760305743322e+07 2.8141187503902815e+07 2.7810785345595274e+07 2.7524078850832064e+07 2.7317962943539720e+07 2.7243816317051195e+07 2.7376314162993573e+07 2.7824118266928066e+07 2.8751892977593884e+07 3.0420305419999946e+07 3.3268613172517397e+07 5.7288842636805493e+06 +1.1070056685562145e+01 1.1168674502463034e+08 1.1167556294267441e+08 1.1165656484349175e+08 1.1163117293095429e+08 1.1160466616577034e+08 1.1158562498029310e+08 1.1157802257100722e+08 1.1157525330168387e+08 1.1157030050994931e+08 1.1156128070355330e+08 1.1154844222829123e+08 1.1153131240577115e+08 1.1150903251063377e+08 1.1148072105758144e+08 1.1144544461673026e+08 1.1140206545950939e+08 1.1134922009957063e+08 1.1128532243699342e+08 1.1120851741044289e+08 1.1111661667325611e+08 1.1100705699083713e+08 1.1087678014512888e+08 1.1072155403084873e+08 1.1053410172407681e+08 1.1030656467671032e+08 1.1003498936698528e+08 1.0971485084881499e+08 1.0933906098798920e+08 1.0889895600259961e+08 1.0838463725615989e+08 1.0778496831745313e+08 1.0708753288532850e+08 1.0627863319855402e+08 1.0534335432341123e+08 1.0426572800433022e+08 1.0302900713311443e+08 1.0161611848439163e+08 1.0001031067852780e+08 9.8196059249421507e+07 9.6160218513982356e+07 9.3715237835395843e+07 9.0999326689921588e+07 8.8017926088928401e+07 8.4788741002143741e+07 8.1343531486738428e+07 7.7728714565596983e+07 7.4004225365440443e+07 7.0240293051853523e+07 6.6512283611043513e+07 6.2893822566590019e+07 5.9449968703718707e+07 5.6232790859340325e+07 5.3278334754477195e+07 5.0602613975884929e+07 4.8205825339618467e+07 4.6076984627269849e+07 4.4196517144368909e+07 4.2541259890274271e+07 4.1086651997353159e+07 3.9810486732283540e+07 3.8691260962254696e+07 3.7711625536567114e+07 3.6854928866563693e+07 3.6109045759106971e+07 3.5461690805770330e+07 3.4902540615121365e+07 3.4423585165535294e+07 3.4016297064805776e+07 3.3672454271075293e+07 3.3386063820808955e+07 3.3149633330187116e+07 3.2957754221445214e+07 3.2804178202273175e+07 3.2683552171563476e+07 3.2588590323555376e+07 3.2512183809549056e+07 3.2449066173543923e+07 3.2394219036711622e+07 3.2342683220664710e+07 3.2306285466646601e+07 3.2269556714631554e+07 3.2232090318300799e+07 3.2192851636151094e+07 3.2152373987165101e+07 3.2109492034110110e+07 3.2065653575477194e+07 3.2016939653337047e+07 3.1964805235777758e+07 3.1908290955349624e+07 3.1846647664153747e+07 3.1778965023174394e+07 3.1704217514325269e+07 3.1620930807192929e+07 3.1529290341332909e+07 3.1425810360404342e+07 3.1309791047128119e+07 3.1179548953728158e+07 3.1033272424961641e+07 3.0869093179044381e+07 3.0685137255652644e+07 3.0479331242816195e+07 3.0251971924978118e+07 2.9999056510687117e+07 2.9721464411712445e+07 2.9419837788598482e+07 2.9096542493926745e+07 2.8755603864333693e+07 2.8404683681240540e+07 2.8055182336452380e+07 2.7725789874239117e+07 2.7439959619781513e+07 2.7234473651547480e+07 2.7160553667492066e+07 2.7292646580136195e+07 2.7739082095979035e+07 2.8664021330630731e+07 3.0327334800681058e+07 3.3166937424196526e+07 5.7081736269439161e+06 +1.1075025008336404e+01 1.1141106140408342e+08 1.1139990643585974e+08 1.1138095402486952e+08 1.1135562259565161e+08 1.1132917681576203e+08 1.1131017564842175e+08 1.1130258234394394e+08 1.1129980783186066e+08 1.1129485262206692e+08 1.1128583726557669e+08 1.1127300882189797e+08 1.1125589511705977e+08 1.1123363877667916e+08 1.1120535956687374e+08 1.1117012530759512e+08 1.1112679985826246e+08 1.1107402161839974e+08 1.1101020664060669e+08 1.1093350238337816e+08 1.1084172350083253e+08 1.1073231030284891e+08 1.1060220886722730e+08 1.1044719330627866e+08 1.1025999742966345e+08 1.1003277300962535e+08 1.0976157166262083e+08 1.0944187603812778e+08 1.0906660924625582e+08 1.0862712107730862e+08 1.0811352873628230e+08 1.0751471415501280e+08 1.0681828224666959e+08 1.0601055964921263e+08 1.0507665932803932e+08 1.0400064467018814e+08 1.0276580412832029e+08 1.0135510390570623e+08 9.9751835594380587e+07 9.7940520434031263e+07 9.5908059809971914e+07 9.3467258348336995e+07 9.0756143923935130e+07 8.7780197667575419e+07 8.4557145278067857e+07 8.1118739640250936e+07 7.7511354717671141e+07 7.3794841184966817e+07 7.0039301580567643e+07 6.6319938608653344e+07 6.2710191373034261e+07 5.9274927271214142e+07 5.6066034584387012e+07 5.3119405586146392e+07 5.0450949398465484e+07 4.8060803460069448e+07 4.5937962299820624e+07 4.4062864615066066e+07 4.2412381659543686e+07 4.0962000600615546e+07 3.9689563314404942e+07 3.8573619350476198e+07 3.7596863677409008e+07 3.6742689844285443e+07 3.5999005644494131e+07 3.5353560631906092e+07 3.4796061150245145e+07 3.4318520212149613e+07 3.3912435623550534e+07 3.3569609686795607e+07 3.3284067011175390e+07 3.3048337645610768e+07 3.2857028722375583e+07 3.2703910406130102e+07 3.2583645135669682e+07 3.2488968523634337e+07 3.2412792760379933e+07 3.2349866620899756e+07 3.2295186443191096e+07 3.2243807906220756e+07 3.2207521363550104e+07 3.2170904876166716e+07 3.2133553017202817e+07 3.2094434297074374e+07 3.2054080399948381e+07 3.2011329582893956e+07 3.1967625052053958e+07 3.1919060061685238e+07 3.1867085032657567e+07 3.1810743530331083e+07 3.1749288697110824e+07 3.1681812976901911e+07 3.1607293986797258e+07 3.1524261936411027e+07 3.1432901535215277e+07 3.1329737911214333e+07 3.1214073288876880e+07 3.1084229366916455e+07 3.0938400028518621e+07 3.0774722703469057e+07 3.0591329160422187e+07 3.0386152357726455e+07 3.0159488015623208e+07 2.9907345799167559e+07 2.9630602337582063e+07 2.9329897828279804e+07 2.9007590891215637e+07 2.8667694557128757e+07 2.8317847184461273e+07 2.7969414341874972e+07 2.7641028791706946e+07 2.7356072361157455e+07 2.7151214594813649e+07 2.7077520628004394e+07 2.7209209723975446e+07 2.7654280425873000e+07 2.8576392003831834e+07 3.0234620562566359e+07 3.3065542063437104e+07 5.6875344270606078e+06 +1.1079993331110662e+01 1.1113591455483054e+08 1.1112478643029083e+08 1.1110587967007460e+08 1.1108060847477967e+08 1.1105422357130465e+08 1.1103526236460544e+08 1.1102767817522758e+08 1.1102489846802071e+08 1.1101994089064670e+08 1.1101093003091402e+08 1.1099811166644052e+08 1.1098101412938909e+08 1.1095878139557397e+08 1.1093053448320277e+08 1.1089534246306007e+08 1.1085207078321615e+08 1.1079935973021671e+08 1.1073562751000059e+08 1.1065902410307166e+08 1.1056736716582130e+08 1.1045810055453171e+08 1.1032817464494386e+08 1.1017336976841380e+08 1.0998643047020604e+08 1.0975951885229866e+08 1.0948869167441916e+08 1.0916943917967029e+08 1.0879469572200187e+08 1.0835582466433309e+08 1.0784295905269556e+08 1.0724499917949314e+08 1.0654957116609892e+08 1.0574302604013398e+08 1.0481050464936392e+08 1.0373610199918135e+08 1.0250314206763549e+08 1.0109463043763490e+08 9.9493901605771244e+07 9.7685522430326387e+07 9.5656441253229365e+07 9.3219817713172615e+07 9.0513497912021890e+07 8.7543002868099615e+07 8.4326078761527151e+07 8.0894471065436393e+07 7.7294510484492928e+07 7.3585963119609222e+07 6.9838804875335366e+07 6.6128075307295248e+07 6.2527027375158899e+07 5.9100337482904144e+07 5.5899713834814474e+07 5.2960895762014747e+07 5.0299688364282303e+07 4.7916170059665553e+07 4.5799314382571705e+07 4.3929573567709334e+07 4.2283853181001864e+07 4.0837688411278009e+07 3.9568969698718280e+07 3.8456299192651100e+07 3.7482415903640091e+07 3.6630758423973307e+07 3.5889267464222156e+07 3.5245727458497703e+07 3.4689874413851619e+07 3.4213744321770251e+07 3.3808860121909387e+07 3.3467048398212198e+07 3.3182351288251434e+07 3.2947321214506496e+07 3.2756580980044648e+07 3.2603919158715885e+07 3.2484013690354202e+07 3.2389621550824612e+07 3.2313675914839987e+07 3.2250940750327051e+07 3.2196427074387997e+07 3.2145205383809160e+07 3.2109029745942682e+07 3.2072525213565838e+07 3.2035287575947866e+07 3.1996288486904904e+07 3.1956058000148550e+07 3.1913437957133975e+07 3.1869866984997649e+07 3.1821450515476666e+07 3.1769634435155720e+07 3.1713465234233450e+07 3.1652198338982332e+07 3.1584928968664184e+07 3.1510637866769206e+07 3.1427859770366833e+07 3.1336778661563382e+07 3.1233930521658458e+07 3.1118619611645751e+07 3.0989172762548506e+07 3.0843789380727682e+07 3.0680612591772068e+07 3.0497779877434779e+07 3.0293230548770353e+07 3.0067259265366253e+07 2.9815888113513060e+07 2.9539990947917227e+07 2.9240206008343693e+07 2.8918884702026449e+07 2.8580027787764512e+07 2.8231250265684098e+07 2.7883882977172419e+07 2.7556501561390467e+07 2.7272416543870863e+07 2.7068185246187415e+07 2.6994716672914933e+07 2.7126003066306405e+07 2.7569712719738334e+07 2.8489004442419931e+07 3.0142162118732348e+07 3.2964426448319815e+07 5.6669664336783560e+06 +1.1084961653884921e+01 1.1086130353862192e+08 1.1085020214539643e+08 1.1083134128830267e+08 1.1080613011109026e+08 1.1077980598097326e+08 1.1076088467185004e+08 1.1075330960775487e+08 1.1075052475297229e+08 1.1074556485826166e+08 1.1073655854173556e+08 1.1072375030394408e+08 1.1070666898445630e+08 1.1068445990860689e+08 1.1065624534742148e+08 1.1062109562360115e+08 1.1057787777412976e+08 1.1052523397384532e+08 1.1046158458326665e+08 1.1038508210657060e+08 1.1029354720389433e+08 1.1018442728019051e+08 1.1005467701074255e+08 1.0990008294752911e+08 1.0971340037362646e+08 1.0948680172939576e+08 1.0921634892366849e+08 1.0889753979051006e+08 1.0852331992724922e+08 1.0808506626992548e+08 1.0757292770493548e+08 1.0697582288255082e+08 1.0628139912652494e+08 1.0547603184355818e+08 1.0454488974781024e+08 1.0347209943811384e+08 1.0224102038240731e+08 1.0083469749386899e+08 9.9236508106899396e+07 9.7431064610871613e+07 9.5405362192626938e+07 9.2972915251044676e+07 9.0271387946077392e+07 8.7306340951746166e+07 8.4095540683080107e+07 8.0670724963070899e+07 7.7078181039249763e+07 7.3377590318944290e+07 6.9638802067080349e+07 6.5936692825324416e+07 6.2344329685544983e+07 5.8926198452690534e+07 5.5733827731684200e+07 5.2802804415688679e+07 5.0148830023132540e+07 4.7771924306958407e+07 4.5661040064095065e+07 4.3796643210866764e+07 4.2155673682768561e+07 4.0713714675869718e+07 3.9448705148753256e+07 3.8339299767785326e+07 3.7368281508171991e+07 3.6519133910949983e+07 3.5779830534667626e+07 3.5138190611462340e+07 3.4583979740230620e+07 3.4109256835887417e+07 3.3705569907610081e+07 3.3364769758265637e+07 3.3080916009437822e+07 3.2846583398003854e+07 3.2656410358624071e+07 3.2504203826729868e+07 3.2384657204282459e+07 3.2290548775457598e+07 3.2214832644614156e+07 3.2152287934673186e+07 3.2097940304232709e+07 3.2046875028369252e+07 3.2010809989453327e+07 3.1974417103127822e+07 3.1937293371604007e+07 3.1898413583389334e+07 3.1858306166355822e+07 3.1815816536221839e+07 3.1772378754526097e+07 3.1724110395856366e+07 3.1672452825495750e+07 3.1616455450345181e+07 3.1555375974284180e+07 3.1488312384219907e+07 3.1414248541512489e+07 3.1331723697949078e+07 3.1240921110991571e+07 3.1138387584321585e+07 3.1023429410279278e+07 3.0894378538013265e+07 3.0749439881780155e+07 3.0586762247269653e+07 3.0404488813612144e+07 3.0200565226819731e+07 2.9975285089517895e+07 2.9724682873901077e+07 2.9449629668294150e+07 2.9150761760169595e+07 2.8830423363983020e+07 2.8492603000450578e+07 2.8144892375883184e+07 2.7798587700115085e+07 2.7472207647384234e+07 2.7188991637556337e+07 2.6985385079297498e+07 2.6912141277264763e+07 2.7043026079606235e+07 2.7485378441438537e+07 2.8401858092370216e+07 3.0049958882979274e+07 3.2863589937752869e+07 5.6464694171118168e+06 +1.1089929976659180e+01 1.1058722772142570e+08 1.1057615321499221e+08 1.1055733833411767e+08 1.1053218703333230e+08 1.1050592358925249e+08 1.1048704211032550e+08 1.1047947618207294e+08 1.1047668622707510e+08 1.1047172406527899e+08 1.1046272233820206e+08 1.1044992427419615e+08 1.1043285922163469e+08 1.1041067385482247e+08 1.1038249169814633e+08 1.1034738432716170e+08 1.1030422036836137e+08 1.1025164388587305e+08 1.1018807739615981e+08 1.1011167592829150e+08 1.1002026314840999e+08 1.0991129001151606e+08 1.0978171549465887e+08 1.0962733237169616e+08 1.0944090666540442e+08 1.0921462116358341e+08 1.0894454292932189e+08 1.0862617738546768e+08 1.0825248137183736e+08 1.0781484539821431e+08 1.0730343419044675e+08 1.0670718475372891e+08 1.0601376560840154e+08 1.0520957652992779e+08 1.0427981408175980e+08 1.0320863643168165e+08 1.0197943850194161e+08 1.0057530448622112e+08 9.8979654490161985e+07 9.7177146346454948e+07 9.5154821975510523e+07 9.2726550281768590e+07 9.0029813316602454e+07 8.7070211178636923e+07 8.3865530272313982e+07 8.0447500533124447e+07 7.6862365554802895e+07 7.3169721932193995e+07 6.9439292286613375e+07 6.5745790281287134e+07 6.2162097417291678e+07 5.8752509294735879e+07 5.5568375396722376e+07 5.2645130681361206e+07 4.9998373525671288e+07 4.7628065371409774e+07 4.5523138533756569e+07 4.3664072754073068e+07 4.2027842393867567e+07 4.0590078641828381e+07 3.9328768928912848e+07 3.8222620355749503e+07 3.7254459784845419e+07 3.6407815611499391e+07 3.5670694172934368e+07 3.5030949417601980e+07 3.4478376464589700e+07 3.4005057096964762e+07 3.3602564329284981e+07 3.3262773120857671e+07 3.2979760533027116e+07 3.2746123558080263e+07 3.2556516223177526e+07 3.2404763777717076e+07 3.2285575047040839e+07 3.2191749568734121e+07 3.2116262322265223e+07 3.2053907547667794e+07 3.1999725507446613e+07 3.1948816215588972e+07 3.1912861470516805e+07 3.1876579922018934e+07 3.1839569782021224e+07 3.1800808965155266e+07 3.1760824277955648e+07 3.1718464700375035e+07 3.1675159741742138e+07 3.1627039084858868e+07 3.1575539586684372e+07 3.1519713562780157e+07 3.1458820988297213e+07 3.1391962610197492e+07 3.1318125399055183e+07 3.1235853108755082e+07 3.1145328274933115e+07 3.1043108492682323e+07 3.0928502080480017e+07 3.0799846091490187e+07 3.0655350932696622e+07 3.0493171074160870e+07 3.0311455376682620e+07 3.0108155803590015e+07 2.9883564904152036e+07 2.9633729501280289e+07 2.9359517925007183e+07 2.9061564515893981e+07 2.8742206315468404e+07 2.8405419640191317e+07 2.8058772966821160e+07 2.7713527969146397e+07 2.7388146514565919e+07 2.7105797112589058e+07 2.6902813568479769e+07 2.6829793916798491e+07 2.6960278237073988e+07 2.7401277055548936e+07 2.8314952400421090e+07 2.9958010269974235e+07 3.2763031891577702e+07 5.6260431483409796e+06 +1.1094898299433439e+01 1.1031368700852323e+08 1.1030263934131037e+08 1.1028387025121072e+08 1.1025877876393782e+08 1.1023257593533297e+08 1.1021373421834794e+08 1.1020617743645534e+08 1.1020338242831132e+08 1.1019841804947129e+08 1.1018942095794506e+08 1.1017663311452496e+08 1.1015958437804601e+08 1.1013742277091527e+08 1.1010927307148163e+08 1.1007420810929544e+08 1.1003109810082966e+08 1.0997858900044650e+08 1.0991510548191816e+08 1.0983880510063088e+08 1.0974751453033091e+08 1.0963868827801301e+08 1.0950928962441154e+08 1.0935511756644839e+08 1.0916894886876938e+08 1.0894297667511310e+08 1.0867327320807542e+08 1.0835535147686063e+08 1.0798217956344098e+08 1.0754516155103408e+08 1.0703447800435616e+08 1.0643908428061399e+08 1.0574667009038660e+08 1.0494365956720810e+08 1.0401527710747682e+08 1.0294571242268693e+08 1.0171839585357995e+08 1.0031645082495080e+08 9.8723340146331847e+07 9.6923767006365940e+07 9.4904819947382912e+07 9.2480722123693585e+07 8.9788773312828377e+07 8.6834612807971150e+07 8.3636046757991597e+07 8.0224796974963188e+07 7.6647063203288183e+07 7.2962357108291522e+07 6.9240274664602712e+07 6.5555366793804564e+07 6.1980329683628485e+07 5.8579269123772003e+07 5.5403355952200033e+07 5.2487873694027506e+07 4.9848318023264050e+07 4.7484592423250079e+07 4.5385608981823705e+07 4.3531861407708883e+07 4.1900358544205144e+07 4.0466779557437092e+07 3.9209160304562449e+07 3.8106260237338468e+07 3.7140950028353773e+07 3.6296802832721636e+07 3.5561857697171256e+07 3.4924003204637967e+07 3.4373063922971681e+07 3.3901144448276624e+07 3.3499842736373160e+07 3.3161057840711746e+07 3.2878884218218893e+07 3.2645941057648096e+07 3.2456897939629730e+07 3.2305598380112898e+07 3.2186766589061834e+07 3.2093223302738044e+07 3.2017964321237061e+07 3.1955798963891421e+07 3.1901782059650045e+07 3.1851028322113555e+07 3.1815183566405490e+07 3.1779013048233669e+07 3.1742116185944628e+07 3.1703474011720974e+07 3.1663611715240307e+07 3.1621381830719601e+07 3.1578209328562114e+07 3.1530235965377018e+07 3.1478894102616027e+07 3.1423238956516199e+07 3.1362532767223381e+07 3.1295879034078810e+07 3.1222267828315977e+07 3.1140247393364388e+07 3.1049999545695599e+07 3.0948092640983462e+07 3.0833837018738784e+07 3.0705574821997702e+07 3.0561521935318422e+07 3.0399838477477014e+07 3.0218678975216784e+07 3.0016001691601757e+07 2.9792098126152784e+07 2.9543027417464476e+07 2.9269655145194720e+07 2.8972613708471652e+07 2.8654232995669581e+07 2.8318477152696278e+07 2.7972891490972329e+07 2.7628703243568193e+07 2.7304317628502991e+07 2.7022832440042410e+07 2.6820470188785534e+07 2.6747674068039451e+07 2.6877759012664512e+07 2.7317408027437076e+07 2.8228286814079288e+07 2.9866315695149682e+07 3.2662751670522623e+07 5.6056873990096375e+06 +1.1099866622207697e+01 1.1004068105257881e+08 1.1002965997143923e+08 1.1001093655027308e+08 1.0998590482820383e+08 1.0995976255366795e+08 1.0994096053156179e+08 1.0993341290690872e+08 1.0993061289250389e+08 1.0992564634662609e+08 1.0991665393626350e+08 1.0990387636010453e+08 1.0988684398845527e+08 1.0986470619100694e+08 1.0983658900144957e+08 1.0980156650338675e+08 1.0975851050422746e+08 1.0970606884969248e+08 1.0964266837146057e+08 1.0956646915343539e+08 1.0947530087836017e+08 1.0936662160701022e+08 1.0923739892558220e+08 1.0908343805537263e+08 1.0889752650463003e+08 1.0867186778193092e+08 1.0840253927433030e+08 1.0808506157509479e+08 1.0771241400728670e+08 1.0727601422798543e+08 1.0676605863977592e+08 1.0617152094842525e+08 1.0548011204879123e+08 1.0467828042156632e+08 1.0375127827917765e+08 1.0268332685193899e+08 1.0145789186297791e+08 1.0005813591811723e+08 9.8467564464221299e+07 9.6670925957971066e+07 9.4655355452536657e+07 9.2235430093618274e+07 8.9548267222879216e+07 8.6599545097676739e+07 8.3407089367853418e+07 8.0002613487172067e+07 7.6432273156557024e+07 7.2755494995852575e+07 6.9041748331589356e+07 6.5365421481639117e+07 6.1799025598168597e+07 5.8406477054959387e+07 5.5238768520960346e+07 5.2331032589265421e+07 4.9698662668055810e+07 4.7341504633518010e+07 4.5248450599419504e+07 4.3400008383100249e+07 4.1773221364599362e+07 4.0343816672001883e+07 3.9089878541898802e+07 3.7990218694288120e+07 3.7027751534360230e+07 3.6186094882667191e+07 3.5453320426356412e+07 3.4817351301176928e+07 3.4268041452396758e+07 3.3797518234021470e+07 3.3397404479252521e+07 3.3059623273481749e+07 3.2778286425016105e+07 3.2546035260418639e+07 3.2357554874758746e+07 3.2206707003218338e+07 3.2088231201670136e+07 3.1994969350428432e+07 3.1919938015849143e+07 3.1857961558819901e+07 3.1804109337359808e+07 3.1753510725394692e+07 3.1717775655318115e+07 3.1681715860651657e+07 3.1644931962973982e+07 3.1606408103426993e+07 3.1566667859325599e+07 3.1524567309185226e+07 3.1481526897797570e+07 3.1433700421134468e+07 3.1382515758069217e+07 3.1327031017373096e+07 3.1266510698038630e+07 3.1200061044171020e+07 3.1126675219037611e+07 3.1044905943113584e+07 3.0954934316344649e+07 3.0853339424339838e+07 3.0739433622392241e+07 3.0611564129400928e+07 3.0467952292301405e+07 3.0306763863022897e+07 3.0126159018546369e+07 2.9924102304183479e+07 2.9700884173259553e+07 2.9452576044989709e+07 2.9180040756797217e+07 2.8883908771625355e+07 2.8566502844522506e+07 2.8231774984497394e+07 2.7887247401619941e+07 2.7544112983348876e+07 2.7220720455524385e+07 2.6940097091782734e+07 2.6738354416014168e+07 2.6665781208160218e+07 2.6795467881030839e+07 2.7233770823142029e+07 2.8141860781624269e+07 2.9774874574777432e+07 3.2562748636166956e+07 5.5854019414238194e+06 +1.1104834944981956e+01 1.0976820889800636e+08 1.0975721493781285e+08 1.0973853674745677e+08 1.0971356475888608e+08 1.0968748297467199e+08 1.0966872058389403e+08 1.0966118212702529e+08 1.0965837715295152e+08 1.0965340848976731e+08 1.0964442080625446e+08 1.0963165354349752e+08 1.0961463758521099e+08 1.0959252364741851e+08 1.0956443901937453e+08 1.0952945904046288e+08 1.0948645710893269e+08 1.0943408296299756e+08 1.0937076559367467e+08 1.0929466761444040e+08 1.0920362171894889e+08 1.0909508952333374e+08 1.0896604292126586e+08 1.0881229335960212e+08 1.0862663909184214e+08 1.0840129399979156e+08 1.0813234064025789e+08 1.0781530718816149e+08 1.0744318420650917e+08 1.0700740292656980e+08 1.0649817558741282e+08 1.0590449424040182e+08 1.0521409095786349e+08 1.0441343855708092e+08 1.0348781704932480e+08 1.0242147915832797e+08 1.0119792595358042e+08 9.9800359172286913e+07 9.8212326831037894e+07 9.6418622567200944e+07 9.4406427833367661e+07 9.1990673507209942e+07 8.9308294333361283e+07 8.6365007304687276e+07 8.3178657328868553e+07 7.9780949267658293e+07 7.6217994585739732e+07 7.2549134743206188e+07 6.8843712418257877e+07 6.5175953463639155e+07 6.1618184274815701e+07 5.8234132203954056e+07 5.5074612226479664e+07 5.2174606503397636e+07 4.9549406612960361e+07 4.7198801174147166e+07 4.5111662578526355e+07 4.3268512892411448e+07 4.1646430086812429e+07 4.0221189235638164e+07 3.8970922908101372e+07 3.7874495009262383e+07 3.6914863599375151e+07 3.6075691070284449e+07 3.5345081680404440e+07 3.4710993036727987e+07 3.4163308390720509e+07 3.3694177799270220e+07 3.3295248909164824e+07 3.2958468775632381e+07 3.2677966514366053e+07 3.2446405531032380e+07 3.2258486396277007e+07 3.2108089017184988e+07 3.1989968257054251e+07 3.1896987085598834e+07 3.1822182781223744e+07 3.1760394708806735e+07 3.1706706717948034e+07 3.1656262803787261e+07 3.1620637116276037e+07 3.1584687739021014e+07 3.1548016493582949e+07 3.1509610621482357e+07 3.1469992092207283e+07 3.1428020518625654e+07 3.1385111833100457e+07 3.1337431836729709e+07 3.1286403938568909e+07 3.1231089132045120e+07 3.1170754168617334e+07 3.1104508029632773e+07 3.1031346961853452e+07 3.0949828150213353e+07 3.0860131980928849e+07 3.0758848238706902e+07 3.0645291289636616e+07 3.0517813414387397e+07 3.0374641407166310e+07 3.0213946637445189e+07 3.0033894916910604e+07 2.9832457055486705e+07 2.9609922463963512e+07 2.9362374807254340e+07 2.9090674188507464e+07 2.8795449139851201e+07 2.8479015302748617e+07 2.8145312582834553e+07 2.7801840152799852e+07 2.7459756649227891e+07 2.7137354462726176e+07 2.6857590540381029e+07 2.6656465726687595e+07 2.6584114815132078e+07 2.6713404317595720e+07 2.7150364909516238e+07 2.8055673752104778e+07 2.9683686325906470e+07 3.2463022151004121e+07 5.5651865485502128e+06 +1.1109803267756215e+01 1.0949627030940680e+08 1.0948530364370662e+08 1.0946667039536554e+08 1.0944175809336039e+08 1.0941573672563657e+08 1.0939701390711479e+08 1.0938948462803310e+08 1.0938667474093835e+08 1.0938170401010031e+08 1.0937272109855287e+08 1.0935996419527848e+08 1.0934296469845188e+08 1.0932087466961925e+08 1.0929282265468952e+08 1.0925788524916911e+08 1.0921493744302303e+08 1.0916263086780401e+08 1.0909939667479704e+08 1.0902340000902639e+08 1.0893247657610318e+08 1.0882409154972340e+08 1.0869522113250634e+08 1.0854168299792157e+08 1.0835628614668150e+08 1.0813125484214978e+08 1.0786267681588797e+08 1.0754608782182771e+08 1.0717448966217840e+08 1.0673932714210781e+08 1.0623082833609690e+08 1.0563800363743623e+08 1.0494860628984480e+08 1.0414913343569526e+08 1.0322489286807001e+08 1.0216016877864246e+08 1.0093849754714268e+08 9.9543119991833001e+07 9.7957626632267907e+07 9.6166856198374122e+07 9.4158036431167677e+07 9.1746451678493530e+07 8.9068853929877445e+07 8.6130998684860721e+07 8.2950749867154315e+07 7.9559803513696477e+07 7.6004226661747798e+07 7.2343275498477250e+07 6.8646166055025354e+07 6.4986961858841479e+07 6.1437804827795699e+07 5.8062233686802939e+07 5.4910886192799062e+07 5.2018594573484287e+07 4.9400549011674002e+07 4.7056481217848726e+07 4.4975244112016708e+07 4.3137374148703493e+07 4.1519983943441167e+07 4.0098896499391139e+07 3.8852292671261050e+07 3.7759088465753451e+07 3.6802285520880766e+07 3.5965590705431521e+07 3.5237140780096501e+07 3.4604927741650470e+07 3.4058864076690376e+07 3.3591122490007199e+07 3.3193375378283296e+07 3.2857593704600122e+07 3.2577923848092519e+07 3.2347051235009760e+07 3.2159691872738604e+07 3.2009743793110102e+07 3.1891977128242269e+07 3.1799275882919900e+07 3.1724697993442003e+07 3.1663097791015934e+07 3.1609573579594098e+07 3.1559283936482828e+07 3.1523767329197578e+07 3.1487928063935068e+07 3.1451369159057226e+07 3.1413080947976317e+07 3.1373583796721969e+07 3.1331740842699070e+07 3.1288963519011185e+07 3.1241429597634152e+07 3.1190558030626759e+07 3.1135412688083015e+07 3.1075262567715380e+07 3.1009219380519912e+07 3.0936282448196419e+07 3.0855013407728117e+07 3.0765591934168264e+07 3.0664618480894882e+07 3.0551409419504855e+07 3.0424322078470040e+07 3.0281588684221644e+07 3.0121386208269026e+07 2.9941886081281606e+07 2.9741065360484138e+07 2.9519212417605322e+07 2.9272423128432520e+07 2.9001554869824544e+07 2.8707234248461980e+07 2.8391769811873879e+07 2.8059089395824704e+07 2.7716669199297503e+07 2.7375633702714778e+07 2.7054219117927846e+07 2.6775312259117913e+07 2.6574803598041371e+07 2.6502674367599327e+07 2.6631567798492085e+07 2.7067189754119877e+07 2.7969725175311156e+07 2.9592750366442759e+07 3.2363571578404319e+07 5.5450409940146320e+06 +1.1114771590530474e+01 1.0922486531401251e+08 1.0921392541560736e+08 1.0919533711100785e+08 1.0917048436812244e+08 1.0914452333234508e+08 1.0912584003118935e+08 1.0911831993921268e+08 1.0911550518513219e+08 1.0911053243610761e+08 1.0910155434162399e+08 1.0908880784358869e+08 1.0907182485601917e+08 1.0904975878528255e+08 1.0902173943433045e+08 1.0898684465606928e+08 1.0894395103229067e+08 1.0889171208906825e+08 1.0882856113913813e+08 1.0875266586019725e+08 1.0866186497175784e+08 1.0855362720656477e+08 1.0842493307782879e+08 1.0827160648704194e+08 1.0808646718346322e+08 1.0786174982028431e+08 1.0759354730894347e+08 1.0727740297969973e+08 1.0690632987301925e+08 1.0647178636768569e+08 1.0596401637220971e+08 1.0537204861856087e+08 1.0468365751481439e+08 1.0388536451736693e+08 1.0296250518364944e+08 1.0189939514797294e+08 1.0067960606354535e+08 9.9286417779701233e+07 9.7703463251555532e+07 9.5915626214126632e+07 9.3910180585286573e+07 9.1502763920413136e+07 8.8829945296700552e+07 8.5897518492962435e+07 8.2723366207738400e+07 7.9339175421805516e+07 7.5790968554764718e+07 7.2137916409487039e+07 6.8449108372445762e+07 6.4798445786443993e+07 6.1257886371639639e+07 5.7890780620080315e+07 5.4747589544549718e+07 5.1862995937235534e+07 4.9252089018682308e+07 4.6914543938191220e+07 4.4839194393620402e+07 4.3006591366008773e+07 4.1393882168081217e+07 3.9976937715297520e+07 3.8733987100345053e+07 3.7643998348279476e+07 3.6690016597257949e+07 3.5855793098875195e+07 3.5129497047175691e+07 3.4499154747316331e+07 3.3954707849982001e+07 3.3488351653108299e+07 3.3091783239650056e+07 3.2756997418670889e+07 3.2478157788883366e+07 3.2247971738741431e+07 3.2061170673552360e+07 3.1911670702882908e+07 3.1794257189198770e+07 3.1701835117985684e+07 3.1627483029439460e+07 3.1566070183546014e+07 3.1512709301408160e+07 3.1462573503552336e+07 3.1427165674840238e+07 3.1391436216864068e+07 3.1354989341605615e+07 3.1316818465840265e+07 3.1277442356642667e+07 3.1235727665947475e+07 3.1193081340891361e+07 3.1145693090132799e+07 3.1094977421542350e+07 3.1040001073850818e+07 3.0980035284883019e+07 3.0914194487659812e+07 3.0841481070404246e+07 3.0760461109554302e+07 3.0671313571785614e+07 3.0570649548538469e+07 3.0457787411866631e+07 3.0331089524039585e+07 3.0188793528659448e+07 3.0029081983769257e+07 2.9850131923552353e+07 2.9649926634985559e+07 2.9428753454320919e+07 2.9182720433540754e+07 2.8912682231105328e+07 2.8619263533569142e+07 2.8304765814178385e+07 2.7973104872247603e+07 2.7631733996660773e+07 2.7291743606065296e+07 2.6971313889664520e+07 2.6693261722055055e+07 2.6493367508075535e+07 2.6421459344993047e+07 2.6549957800565653e+07 2.6984244825240999e+07 2.7884014501835544e+07 2.9502066115076978e+07 3.2264396282662328e+07 5.5249650521004554e+06 +1.1119739913304732e+01 1.0895399350991310e+08 1.0894307958589260e+08 1.0892453653921588e+08 1.0889974311957353e+08 1.0887384231985691e+08 1.0885519848374724e+08 1.0884768758729142e+08 1.0884486801215276e+08 1.0883989329431894e+08 1.0883092006163013e+08 1.0881818401423275e+08 1.0880121758341886e+08 1.0877917551935089e+08 1.0875118888304606e+08 1.0871633678522427e+08 1.0867349740026936e+08 1.0862132614969008e+08 1.0855825850852101e+08 1.0848246468884087e+08 1.0839178642556675e+08 1.0828369601193957e+08 1.0815517827385128e+08 1.0800206334140313e+08 1.0781718171409617e+08 1.0759277844317369e+08 1.0732495162489732e+08 1.0700925216320381e+08 1.0663870433554970e+08 1.0620478009436646e+08 1.0569773918031660e+08 1.0510662866062850e+08 1.0441924410081562e+08 1.0362213126005606e+08 1.0270065344253521e+08 1.0163915769929914e+08 1.0042125092069270e+08 9.9030251936944082e+07 9.7449836071099594e+07 9.5664931975522816e+07 9.3662859633955896e+07 9.1259609544205770e+07 8.8591567717002794e+07 8.5664565982808515e+07 8.2496505575044408e+07 7.9119064187984139e+07 7.5578219434700102e+07 7.1933056623884499e+07 6.8252538500800416e+07 6.4610404365727507e+07 6.1078428021249145e+07 5.7719772120832428e+07 5.4584721407089263e+07 5.1707809733116582e+07 4.9104025789307043e+07 4.6772988509631351e+07 4.4703512617953897e+07 4.2876163759163938e+07 4.1268123995181605e+07 3.9855312136226669e+07 3.8616005465283640e+07 3.7529223942203507e+07 3.6578056127726279e+07 3.5746297562313452e+07 3.5022149804218791e+07 3.4393673385900989e+07 3.3850839051186100e+07 3.3385864636332352e+07 3.2990471847169779e+07 3.2656679277006660e+07 3.2378667700327512e+07 3.2149166409485623e+07 3.1962922169087626e+07 3.1813869119353130e+07 3.1696807814736083e+07 3.1604664167222746e+07 3.1530537266994689e+07 3.1469311265311629e+07 3.1416113263402376e+07 3.1366130885945585e+07 3.1330831534828346e+07 3.1295211580183037e+07 3.1258876424305819e+07 3.1220822558879636e+07 3.1181567156516183e+07 3.1139980373771392e+07 3.1097464684981141e+07 3.1050221701397762e+07 3.0999661499478828e+07 3.0944853678634025e+07 3.0885071710562564e+07 3.0819432742823403e+07 3.0746942221623875e+07 3.0666170650441300e+07 3.0577296290258586e+07 3.0476940840131212e+07 3.0364424667431127e+07 3.0238115154275231e+07 3.0096255346483909e+07 2.9937033373115208e+07 2.9758631856333792e+07 2.9559040295553669e+07 2.9338544995099511e+07 2.9093266148359444e+07 2.8824055703414299e+07 2.8531536432040844e+07 2.8218002752755553e+07 2.7887358461724035e+07 2.7547034001211945e+07 2.7208085822285172e+07 2.6888638247259934e+07 2.6611438403952915e+07 2.6412156935462374e+07 2.6340469227401778e+07 2.6468573801446810e+07 2.6901529591954038e+07 2.7798541183051880e+07 2.9411632991345845e+07 3.2165495628905073e+07 5.5049584977470767e+06 +1.1124708236078991e+01 1.0868365336895581e+08 1.0867276619015177e+08 1.0865426819485947e+08 1.0862953388652621e+08 1.0860369321277249e+08 1.0858508879036255e+08 1.0857758709688081e+08 1.0857476274647240e+08 1.0856978610882528e+08 1.0856081778240851e+08 1.0854809223092136e+08 1.0853114240398671e+08 1.0850912439488304e+08 1.0848117052326874e+08 1.0844636115863192e+08 1.0840357606829017e+08 1.0835147257006131e+08 1.0828848830264014e+08 1.0821279601366009e+08 1.0812224045491199e+08 1.0801429748184462e+08 1.0788595623465677e+08 1.0773305307312796e+08 1.0754842924841990e+08 1.0732434021785010e+08 1.0705688926724181e+08 1.0674163487167214e+08 1.0637161254441059e+08 1.0593830781078613e+08 1.0543199624283767e+08 1.0484174323847437e+08 1.0415536551390170e+08 1.0335943311968356e+08 1.0243933708904013e+08 1.0137945586378136e+08 1.0016343153488822e+08 9.8774621862767339e+07 9.7196744471146166e+07 9.5414772842054635e+07 9.3416072913748801e+07 9.1016987860046610e+07 8.8353720472582176e+07 8.5432140407128111e+07 8.2270167192453668e+07 7.8899469007374927e+07 7.5365978471092239e+07 7.1728695288981929e+07 6.8056455570542559e+07 6.4422836716149256e+07 6.0899428891766652e+07 5.7549207306662895e+07 5.4422280906271867e+07 5.1553035100270338e+07 4.8956358479610391e+07 4.6631814107422896e+07 4.4568197980538033e+07 4.2746090543954648e+07 4.1142708660107084e+07 3.9734019016057871e+07 3.8498347036893889e+07 3.7414764533851363e+07 3.6466403412578017e+07 3.5637103408317767e+07 3.4915098374804884e+07 3.4288482990513086e+07 3.3747257021731429e+07 3.3283660788341571e+07 3.2889440555679806e+07 3.2556638639678579e+07 3.2279452946896568e+07 3.2050634615438137e+07 3.1864945730524123e+07 3.1716338416181058e+07 3.1599628380544890e+07 3.1507762407948960e+07 3.1433860084761430e+07 3.1372820416171618e+07 3.1319784846367266e+07 3.1269955465468705e+07 3.1234764291717466e+07 3.1199253537064269e+07 3.1163029791055270e+07 3.1125092611789010e+07 3.1085957581781562e+07 3.1044498352459777e+07 3.1002112938386951e+07 3.0955014819521058e+07 3.0904609653486177e+07 3.0849969892545968e+07 3.0790371236052338e+07 3.0724933538605038e+07 3.0652665295860425e+07 3.0572141426013336e+07 3.0483539486980073e+07 3.0383491754991826e+07 3.0271320587727550e+07 3.0145398373231608e+07 3.0003973544525899e+07 2.9845239786279224e+07 2.9667385293174688e+07 2.9468405759652141e+07 2.9248586461641543e+07 2.9004059699498579e+07 2.8735674718699079e+07 2.8444052381573360e+07 2.8131480071437798e+07 2.7801849614624929e+07 2.7462568670018036e+07 2.7124659815125544e+07 2.6806191660782460e+07 2.6529841780343771e+07 2.6331171359710198e+07 2.6259703495737918e+07 2.6387415279456496e+07 2.6819043524060316e+07 2.7713304671047468e+07 2.9321450415552776e+07 3.2066868983212572e+07 5.4850211065483419e+06 +1.1129676558853250e+01 1.0841384575274566e+08 1.0840298479416278e+08 1.0838453145872918e+08 1.0835985620594181e+08 1.0833407553517668e+08 1.0831551047425458e+08 1.0830801799037457e+08 1.0830518891001025e+08 1.0830021040157643e+08 1.0829124702565657e+08 1.0827853201508166e+08 1.0826159883884749e+08 1.0823960493261066e+08 1.0821168387521215e+08 1.0817691729598589e+08 1.0813418655530225e+08 1.0808215086866181e+08 1.0801925003886397e+08 1.0794365935096490e+08 1.0785322657489474e+08 1.0774543113007630e+08 1.0761726647224395e+08 1.0746457519221050e+08 1.0728020929401721e+08 1.0705643464895074e+08 1.0678935973712824e+08 1.0647455060217218e+08 1.0610505399177623e+08 1.0567236900391729e+08 1.0516678703983736e+08 1.0457739182473375e+08 1.0389202121818236e+08 1.0309726955026054e+08 1.0217855556558312e+08 1.0112028907072657e+08 9.9906147320399418e+07 9.8519526954735830e+07 9.6944187830519825e+07 9.5165148171503007e+07 9.3169819759804398e+07 9.0774898176778704e+07 8.8116402844231114e+07 8.5200241017618433e+07 8.2044350282802477e+07 7.8680389074688986e+07 7.5154244832770795e+07 7.1524831551943928e+07 6.7860858711992741e+07 6.4235741957371354e+07 6.0720888098794967e+07 5.7379085295567647e+07 5.4260267168596737e+07 5.1398671178617395e+07 4.8809086246406458e+07 4.6491019907642551e+07 4.4433249677743241e+07 4.2616370937102437e+07 4.1017635399205595e+07 3.9613057609510399e+07 3.8381011086969331e+07 3.7300619410419047e+07 3.6355057752900220e+07 3.5528209950428337e+07 3.4808342083343528e+07 3.4183582895218097e+07 3.3643961104032859e+07 3.3181739458695758e+07 3.2788688720905390e+07 3.2456874867662240e+07 3.2180512893978029e+07 3.1952375725650668e+07 3.1767240729959965e+07 3.1619077967957668e+07 3.1502718263193145e+07 3.1411129218356308e+07 3.1337450862306871e+07 3.1276597016796716e+07 3.1223723432023603e+07 3.1174046624847211e+07 3.1138963328843825e+07 3.1103561471624948e+07 3.1067448826678783e+07 3.1029628010109533e+07 3.0990613018790863e+07 3.0949280989163447e+07 3.0907025489089388e+07 3.0860071833332893e+07 3.0809821273443189e+07 3.0755349106551338e+07 3.0695933253499921e+07 3.0630696268413186e+07 3.0558649688008029e+07 3.0478372832770411e+07 3.0390042560138255e+07 3.0290301693353161e+07 3.0178474575195991e+07 3.0052938585774273e+07 2.9911947530474078e+07 2.9753700634087786e+07 2.9576391648369670e+07 2.9378022445533272e+07 2.9158877276626598e+07 2.8915100514369894e+07 2.8647538709661506e+07 2.8356810820600424e+07 2.8045197214872573e+07 2.7716577782099042e+07 2.7378337460965697e+07 2.7041465049133115e+07 2.6723973601016741e+07 2.6448471327506039e+07 2.6250410260960907e+07 2.6179161631554384e+07 2.6306481713670358e+07 2.6736786092127625e+07 2.7628304418765839e+07 2.9231517808883112e+07 3.1968515712522417e+07 5.4651526547510149e+06 +1.1134644881627509e+01 1.0814456851416928e+08 1.0813373431693551e+08 1.0811532582516390e+08 1.0809070960387570e+08 1.0806498880993754e+08 1.0804646305588558e+08 1.0803897978789590e+08 1.0803614602284405e+08 1.0803116569231428e+08 1.0802220731098823e+08 1.0800950288582242e+08 1.0799258640685506e+08 1.0797061665092754e+08 1.0794272845700403e+08 1.0790800471476032e+08 1.0786532837833948e+08 1.0781336056149478e+08 1.0775054323254955e+08 1.0767505421497335e+08 1.0758474429853541e+08 1.0747709646798240e+08 1.0734910849661392e+08 1.0719662920659707e+08 1.0701252135631160e+08 1.0678906123892203e+08 1.0652236253361668e+08 1.0620799884969991e+08 1.0583902816802900e+08 1.0540696315843661e+08 1.0490211104959755e+08 1.0431357389012593e+08 1.0362921067550330e+08 1.0283564000369118e+08 1.0191830831265791e+08 1.0086165674760491e+08 9.9649397689798504e+07 9.8264966608614072e+07 9.6692165526173502e+07 9.4916057320364520e+07 9.2924099505963281e+07 9.0533339801666990e+07 8.7879614111566395e+07 8.4968867065104365e+07 8.1819054067731172e+07 7.8461823583928898e+07 7.4943017688423023e+07 7.1321464559682831e+07 6.7665747055525109e+07 6.4049119209324002e+07 6.0542804758238085e+07 5.7209405206148714e+07 5.4098679321250655e+07 5.1244717108765975e+07 4.8662208247444347e+07 4.6350605087350152e+07 4.4298666906892784e+07 4.2487004156211115e+07 4.0892903449676320e+07 3.9492427172270335e+07 3.8263996888216563e+07 3.7186787860115193e+07 3.6244018450761966e+07 3.5419616503084831e+07 3.4701880255235821e+07 3.4078972434928983e+07 3.3540950641350925e+07 3.3080099997893356e+07 3.2688215699452061e+07 3.2357387322809376e+07 3.2081846907800447e+07 3.1854389110030327e+07 3.1669806540382240e+07 3.1522087150144909e+07 3.1406076840160433e+07 3.1314763977543090e+07 3.1241308980042998e+07 3.1180640448782377e+07 3.1127928403012335e+07 3.1078403747614216e+07 3.1043428030490778e+07 3.1008134768770494e+07 3.0972132916840259e+07 3.0934428140262108e+07 3.0895532854714505e+07 3.0854327671877604e+07 3.0812201725933123e+07 3.0765392132668175e+07 3.0715295750134740e+07 3.0660990712470166e+07 3.0601757155922320e+07 3.0536720326582570e+07 3.0464894793776873e+07 3.0384864267980430e+07 3.0296804908803102e+07 3.0197370056218509e+07 3.0085886033063587e+07 2.9960735197709963e+07 2.9820176712837934e+07 2.9662415328161646e+07 2.9485650337084025e+07 2.9287889772258006e+07 2.9069416863406632e+07 2.8826388021204662e+07 2.8559647109829817e+07 2.8269811188430052e+07 2.7959153628513027e+07 2.7631542416078404e+07 2.7294339832616176e+07 2.6958500989579130e+07 2.6641983539542403e+07 2.6367326522422340e+07 2.6169873120151989e+07 2.6098843117216583e+07 2.6225772583918165e+07 2.6654756767462477e+07 2.7543539879841849e+07 2.9141834593295813e+07 3.1870435184691459e+07 5.4453529192532338e+06 +1.1139613204401767e+01 1.0787582236715604e+08 1.0786501444595945e+08 1.0784665088172281e+08 1.0782209359327626e+08 1.0779643255754538e+08 1.0777794605335797e+08 1.0777047200733601e+08 1.0776763360259584e+08 1.0776265149834867e+08 1.0775369815544023e+08 1.0774100436014543e+08 1.0772410462456472e+08 1.0770215906604311e+08 1.0767430378430043e+08 1.0763962293022464e+08 1.0759700105192342e+08 1.0754510116239445e+08 1.0748236739657162e+08 1.0740698011765094e+08 1.0731679313653730e+08 1.0720929300503224e+08 1.0708148181527564e+08 1.0692921462187932e+08 1.0674536493862450e+08 1.0652221948817782e+08 1.0625589715369044e+08 1.0594197910715422e+08 1.0557353456115054e+08 1.0514208975674878e+08 1.0463796774838096e+08 1.0405028890337010e+08 1.0336693334595521e+08 1.0257454393019015e+08 1.0165859476892613e+08 1.0060355831993070e+08 9.9393182053823650e+07 9.8010940218375206e+07 9.6440676933688119e+07 9.4667499643344447e+07 9.2678911484364063e+07 9.0292312041009799e+07 8.7643353553043425e+07 8.4738017799307853e+07 8.1594277768378779e+07 7.8243771728460506e+07 7.4732296206190169e+07 7.1118593458942458e+07 6.7471119731503472e+07 6.3862967591939405e+07 6.0365177986387603e+07 5.7040166157456368e+07 5.3937516492019467e+07 5.1091172032033563e+07 4.8515723641154908e+07 4.6210568824299790e+07 4.4164448866141558e+07 4.2357989419789590e+07 4.0768512049694754e+07 3.9372126960973479e+07 3.8147303714237221e+07 3.7073269172053792e+07 3.6133284809133045e+07 3.5311322381634720e+07 3.4595712216702744e+07 3.3974650945483424e+07 3.3438224977853242e+07 3.2978741757268731e+07 3.2588020848873511e+07 3.2258175367876090e+07 3.1983454355533715e+07 3.1756674139446795e+07 3.1572642535632372e+07 3.1425365339093264e+07 3.1309703489783075e+07 3.1218666065457702e+07 3.1145433819300324e+07 3.1084950094574798e+07 3.1032399142764486e+07 3.0983026218225773e+07 3.0948157781789389e+07 3.0912972814392947e+07 3.0877081448060159e+07 3.0839492389543191e+07 3.0800716477619912e+07 3.0759637789478160e+07 3.0717641038633112e+07 3.0670975108127080e+07 3.0621032475180417e+07 3.0566894103079982e+07 3.0507842337219216e+07 3.0443005108281001e+07 3.0371400009789396e+07 3.0291615129856512e+07 3.0203825932884265e+07 3.0104696245479938e+07 2.9993554365429245e+07 2.9868787615519423e+07 2.9728660500984374e+07 2.9571383281020749e+07 2.9395160775305133e+07 2.9198007159737874e+07 2.8980204646236852e+07 2.8737921649067428e+07 2.8471999353527203e+07 2.8183052925119974e+07 2.7873348758547623e+07 2.7546742969266988e+07 2.7210575244414847e+07 2.6875767102491464e+07 2.6560220948665235e+07 2.6286406842850626e+07 2.6089559418936618e+07 2.6018747435769256e+07 2.6145287370742846e+07 2.6572955022095185e+07 2.7459010508758854e+07 2.9052400191585101e+07 3.1772626768469766e+07 5.4256216776029430e+06 +1.1144581527176026e+01 1.0760760639328782e+08 1.0759682501681548e+08 1.0757850613517740e+08 1.0755400768000843e+08 1.0752840629516461e+08 1.0750995898183832e+08 1.0750249416457608e+08 1.0749965116485308e+08 1.0749466733516690e+08 1.0748571907409759e+08 1.0747303595290144e+08 1.0745615300657226e+08 1.0743423169220728e+08 1.0740640937086242e+08 1.0737177145543344e+08 1.0732920408859208e+08 1.0727737218329373e+08 1.0721472204192676e+08 1.0713943656887366e+08 1.0704937259766251e+08 1.0694202024840711e+08 1.0681438593375047e+08 1.0666233094150813e+08 1.0647873954205145e+08 1.0625590889505717e+08 1.0598996309207124e+08 1.0567649086521396e+08 1.0530857265719484e+08 1.0487774827958471e+08 1.0437435661012374e+08 1.0378753633100535e+08 1.0310518868767129e+08 1.0231398077767280e+08 1.0139941437115619e+08 1.0034599321131368e+08 9.9137499821470678e+07 9.7757447176618680e+07 9.6189721426732421e+07 9.4419474493776008e+07 9.2434255025911734e+07 9.0051814199610546e+07 8.7407620445794806e+07 8.4507692468982294e+07 8.1370020604994625e+07 7.8026232701149702e+07 7.4522079553808331e+07 7.0916217396268547e+07 6.7276975870263681e+07 6.3677286225436151e+07 6.0188006899861187e+07 5.6871367269067101e+07 5.3776777809306927e+07 5.0938035090598226e+07 4.8369631586906716e+07 4.6070910297239415e+07 4.4030594754538871e+07 4.2229325947306745e+07 4.0644460438369609e+07 3.9252156233203433e+07 3.8030930839618541e+07 3.6960062636204652e+07 3.6022856131926537e+07 3.5203326902359024e+07 3.4489837294984177e+07 3.3870617763663769e+07 3.3335783458659045e+07 3.2877664089127496e+07 3.2488103527569611e+07 3.2159238366516143e+07 3.1885334605230290e+07 3.1659230185617525e+07 3.1475748090506382e+07 3.1328911912035927e+07 3.1213597591266077e+07 3.1122834862946197e+07 3.1049824762256011e+07 3.0989525337523773e+07 3.0937135035647746e+07 3.0887913422011368e+07 3.0853151968752321e+07 3.0818074995171845e+07 3.0782293807805240e+07 3.0744820146108452e+07 3.0706163276466150e+07 3.0665210731729258e+07 3.0623342817784458e+07 3.0576820151239716e+07 3.0527030841088358e+07 3.0473058671889167e+07 3.0414188192126263e+07 3.0349550009529211e+07 3.0278164733498283e+07 3.0198624817394152e+07 3.0111105033174030e+07 3.0012279663908739e+07 2.9901478977263246e+07 2.9777095246681675e+07 2.9637398305114735e+07 2.9480603905968729e+07 2.9304922379840788e+07 2.9108374028729729e+07 2.8891240050155815e+07 2.8649700827803820e+07 2.8384594875882331e+07 2.8096535471545693e+07 2.7787782052034717e+07 2.7462178895186000e+07 2.7127043156494830e+07 2.6793262854693383e+07 2.6478685301443156e+07 2.6205711767280612e+07 2.6009468639731634e+07 2.5938874071032118e+07 2.6065025555438228e+07 2.6491380328864474e+07 2.7374715760736056e+07 2.8963214027393065e+07 3.1675089833500903e+07 5.4059587079963777e+06 +1.1149549849950285e+01 1.0733992006282879e+08 1.0732916538868956e+08 1.0731089107515359e+08 1.0728645137176722e+08 1.0726090953609033e+08 1.0724250135407524e+08 1.0723504577304462e+08 1.0723219822304888e+08 1.0722721271575798e+08 1.0721826957990268e+08 1.0720559717663884e+08 1.0718873106505594e+08 1.0716683404125631e+08 1.0713904472813320e+08 1.0710444980143952e+08 1.0706193699857995e+08 1.0701017313365778e+08 1.0694760667722464e+08 1.0687242307630183e+08 1.0678248218834484e+08 1.0667527770315178e+08 1.0654782035539164e+08 1.0639597766699965e+08 1.0621264466558939e+08 1.0599012895558266e+08 1.0572455984157690e+08 1.0541153361268295e+08 1.0504414194017299e+08 1.0461393820529087e+08 1.0411127710695119e+08 1.0352531563774118e+08 1.0284397615648639e+08 1.0205394999254712e+08 1.0114076655414878e+08 1.0008896084391969e+08 9.8882350399987310e+07 9.7504486873750642e+07 9.5939298377557889e+07 9.4171981223605812e+07 9.2190129460115984e+07 8.9811845581052139e+07 8.7172414066086456e+07 8.4277890322019860e+07 8.1146281797030434e+07 7.7809205694159433e+07 7.4312366898763254e+07 7.0714335517967492e+07 6.7083314602246605e+07 6.3492074230314098e+07 6.0011290615745239e+07 5.6703007661090963e+07 5.3616462402206495e+07 5.0785305427289151e+07 4.8223931244756259e+07 4.5931628685763597e+07 4.3897103772091046e+07 4.2101012959131874e+07 4.0520747855694927e+07 3.9132514247395203e+07 3.7914877539878942e+07 3.6847167543564297e+07 3.5912731723999314e+07 3.5095629382469617e+07 3.4384254818182006e+07 3.3766872227172755e+07 3.3233625429764342e+07 3.2776866346628357e+07 3.2388463094860662e+07 3.2060575683265112e+07 3.1787487025819991e+07 3.1562056621161748e+07 3.1379122580628902e+07 3.1232726247094505e+07 3.1117758524748966e+07 3.1027269751735307e+07 3.0954481192001268e+07 3.0894365561823104e+07 3.0842135466892466e+07 3.0793064745162077e+07 3.0758409978264004e+07 3.0723440698708311e+07 3.0687769384343464e+07 3.0650410799008865e+07 3.0611872641061563e+07 3.0571045889252640e+07 3.0529306454787888e+07 3.0482926654384360e+07 3.0433290241239451e+07 3.0379483813387398e+07 3.0320794116248302e+07 3.0256354427251581e+07 3.0185188363191765e+07 3.0105892730541945e+07 3.0018641611302979e+07 2.9920119715074249e+07 2.9809659274331424e+07 2.9685657499472167e+07 2.9546389536293432e+07 2.9390076617186159e+07 2.9214934568377953e+07 2.9018989800787643e+07 2.8802522501040664e+07 2.8561724988074623e+07 2.8297433112846401e+07 2.8010258269356649e+07 2.7702452956716109e+07 2.7377849648071520e+07 2.7043743029825021e+07 2.6710987713761408e+07 2.6397376071671948e+07 2.6125240774961170e+07 2.5929600265670724e+07 2.5859222507546183e+07 2.5984986620053042e+07 2.6410032161323149e+07 2.7290655091778617e+07 2.8874275525157619e+07 3.1577823750362895e+07 5.3863637892765114e+06 +1.1154518172724543e+01 1.0707276299397278e+08 1.0706203539836964e+08 1.0704380526161903e+08 1.0701942418200617e+08 1.0699394178892754e+08 1.0697557267997842e+08 1.0696812634432288e+08 1.0696527428835337e+08 1.0696028715108745e+08 1.0695134918353298e+08 1.0693868754188745e+08 1.0692183831018506e+08 1.0689996562286592e+08 1.0687220936540106e+08 1.0683765747694363e+08 1.0679519929006475e+08 1.0674350352081797e+08 1.0668102080907068e+08 1.0660593914549127e+08 1.0651612141279316e+08 1.0640906487208255e+08 1.0628178458152454e+08 1.0613015429747495e+08 1.0594707980609205e+08 1.0572487916383474e+08 1.0545968689271966e+08 1.0514710683612548e+08 1.0478024189200337e+08 1.0435065901023866e+08 1.0384872870899169e+08 1.0326362628622097e+08 1.0258329520675571e+08 1.0179445101886672e+08 1.0088265075087553e+08 9.9832460637667477e+07 9.8627733194797590e+07 9.7252058699043125e+07 9.5689407156872690e+07 9.3925019182775483e+07 9.1946534114925429e+07 8.9572405487729475e+07 8.6937733689085737e+07 8.4048610605269730e+07 8.0923060563209325e+07 7.7592689899169981e+07 7.4103157407983691e+07 7.0512946970298693e+07 6.6890135057797372e+07 6.3307330727182277e+07 5.9835028251373097e+07 5.6535086454147898e+07 5.3456569400464423e+07 5.0632982185656704e+07 4.8078621775697410e+07 4.5792723170236081e+07 4.3763975119729280e+07 4.1973049676562220e+07 4.0397373542620040e+07 3.9013200263025507e+07 3.7799143091431484e+07 3.6734583186020732e+07 3.5802910891087666e+07 3.4988229140103109e+07 3.4278964115354806e+07 3.3663413674572095e+07 3.3131750238125019e+07 3.2676347883864958e+07 3.2289098910986196e+07 3.1962186683613040e+07 3.1689910987144459e+07 3.1465152819564532e+07 3.1282765382546443e+07 3.1136807723299794e+07 3.1022185671257120e+07 3.0931970114453159e+07 3.0859402492482606e+07 3.0799470152597103e+07 3.0747399822624352e+07 3.0698479574759297e+07 3.0663931198111936e+07 3.0629069313466661e+07 3.0593507566870790e+07 3.0556263738170106e+07 3.0517843962060101e+07 3.0477142653558988e+07 3.0435531342050619e+07 3.0389294010788400e+07 3.0339810069854185e+07 3.0286168922861829e+07 3.0227659506067630e+07 3.0163417759208720e+07 3.0092470298070420e+07 3.0013418270039897e+07 2.9926435069752514e+07 2.9828215803424530e+07 2.9718094663322710e+07 2.9594473782987524e+07 2.9455633606395297e+07 2.9299800829665590e+07 2.9125196759389687e+07 2.8929853898294099e+07 2.8714051425603613e+07 2.8473993561407778e+07 2.8210513501174785e+07 2.7924220761045609e+07 2.7617360921263862e+07 2.7293754682991765e+07 2.6960674326055855e+07 2.6628941147997819e+07 2.6316292733968243e+07 2.6044993345897947e+07 2.5849953780633107e+07 2.5779792230610006e+07 2.5905170047380719e+07 2.6328909993803967e+07 2.7206827958711948e+07 2.8785584110155459e+07 3.1480827890484527e+07 5.3668367009315025e+06 +1.1159486495498802e+01 1.0680613529875913e+08 1.0679543373605175e+08 1.0677724811295688e+08 1.0675292562652597e+08 1.0672750255839367e+08 1.0670917246738264e+08 1.0670173538738056e+08 1.0669887886989398e+08 1.0669389014999625e+08 1.0668495739362539e+08 1.0667230655684873e+08 1.0665547424996427e+08 1.0663362594469143e+08 1.0660590278981090e+08 1.0657139398858394e+08 1.0652899046904789e+08 1.0647736285025389e+08 1.0641496394185807e+08 1.0633998427986151e+08 1.0625028977325355e+08 1.0614338125612475e+08 1.0601627811118327e+08 1.0586486033012536e+08 1.0568204445843513e+08 1.0546015901168031e+08 1.0519534373419109e+08 1.0488321002005136e+08 1.0451687199250410e+08 1.0408791016907522e+08 1.0358671088418004e+08 1.0300246773725671e+08 1.0232314529054973e+08 1.0153548329916413e+08 1.0062506639252713e+08 9.9576492010907248e+07 9.8373647609680012e+07 9.7000162039743915e+07 9.5440047133546427e+07 9.3678587720344409e+07 9.1703468317233935e+07 8.9333493220684230e+07 8.6703578588606641e+07 8.3819852564670935e+07 8.0700356121420890e+07 7.7376684507261053e+07 7.3894450248146936e+07 7.0312050899209037e+07 6.6697436367300361e+07 6.3123054836856723e+07 5.9659218924577735e+07 5.6367602769505888e+07 5.3297097934520505e+07 5.0481064510079414e+07 4.7933702341425374e+07 4.5654192932063170e+07 4.3631207999170452e+07 4.1845435321796410e+07 4.0274336741081640e+07 3.8894213540469423e+07 3.7683726771684863e+07 3.6622308856410116e+07 3.5693392939950459e+07 3.4881125494326487e+07 3.4173964516420573e+07 3.3560241445373446e+07 3.3030157231513314e+07 3.2576108055853181e+07 3.2190010337078981e+07 3.1864070733866591e+07 3.1592605859955072e+07 3.1368518155288786e+07 3.1186675873713236e+07 3.1041155720540956e+07 3.0926878412664354e+07 3.0836935334594708e+07 3.0764588048565067e+07 3.0704838495845933e+07 3.0652927489827130e+07 3.0604157298783787e+07 3.0569715016924378e+07 3.0534960228776071e+07 3.0499507745432261e+07 3.0462378354386806e+07 3.0424076631048277e+07 3.0383500417007416e+07 3.0342016872711372e+07 3.0295921614623908e+07 3.0246589722051863e+07 3.0193113396487884e+07 3.0134783758977391e+07 3.0070739403979570e+07 3.0000009938188657e+07 2.9921200837520879e+07 2.9834484811903261e+07 2.9736567334296506e+07 2.9626784551714003e+07 2.9503543507220425e+07 2.9365129928183559e+07 2.9209775959252093e+07 2.9035708372208163e+07 2.8840965744478486e+07 2.8625826251384310e+07 2.8386505980066430e+07 2.8123835478449613e+07 2.7838422389875706e+07 2.7532505395017486e+07 2.7209893455811936e+07 2.6877836507716447e+07 2.6547122626532447e+07 2.6235434763640523e+07 2.5964968960796390e+07 2.5770528669244114e+07 2.5700582726228856e+07 2.5825575320932604e+07 2.6248013301373959e+07 2.7123233819075368e+07 2.8697139208479896e+07 3.1384101626234438e+07 5.3473772230931912e+06 +1.1164454818273061e+01 1.0654003629490562e+08 1.0652936077569903e+08 1.0651121918279994e+08 1.0648695521724479e+08 1.0646159134583715e+08 1.0644330022165497e+08 1.0643587240946059e+08 1.0643301147470619e+08 1.0642802121913025e+08 1.0641909371657686e+08 1.0640645372784607e+08 1.0638963839026782e+08 1.0636781451241910e+08 1.0634012450641125e+08 1.0630565884091909e+08 1.0626331003957477e+08 1.0621175062494551e+08 1.0614943557791720e+08 1.0607455798059084e+08 1.0598498676989193e+08 1.0587822635381746e+08 1.0575130044135980e+08 1.0560009526003161e+08 1.0541753811526188e+08 1.0519596798919484e+08 1.0493152985230821e+08 1.0461984264701921e+08 1.0425403171962793e+08 1.0382569115400535e+08 1.0332522309869173e+08 1.0274183944946465e+08 1.0206352585823011e+08 1.0127704627390166e+08 1.0036801290833125e+08 9.9321054380143881e+07 9.8120093046710730e+07 9.6748796281478286e+07 9.5191217675133944e+07 9.3432686183546856e+07 9.1460931392199472e+07 8.9095108079782069e+07 8.6469948037574783e+07 8.3591615445294976e+07 8.0478167688948765e+07 7.7161188708931640e+07 7.3686244585570216e+07 7.0111646450588509e+07 6.6505217661387652e+07 6.2939245680528462e+07 5.9483861753556505e+07 5.6200555728813805e+07 5.3138047135370120e+07 5.0329551545649715e+07 4.7789172104595259e+07 4.5516037153408788e+07 4.3498801613163687e+07 4.1718169118025348e+07 4.0151636693923086e+07 3.8775553341038115e+07 3.7568627858956017e+07 3.6510343848529510e+07 3.5584177178183965e+07 3.4774317765113525e+07 3.4069255352307707e+07 3.3457354880046949e+07 3.2928845758725923e+07 3.2476146218519703e+07 3.2091196735219091e+07 3.1766227201349054e+07 3.1495571015906982e+07 3.1272152003629133e+07 3.1090853432432529e+07 3.0945769619630918e+07 3.0831836131760053e+07 3.0742164796570409e+07 3.0670037245973971e+07 3.0610469978427824e+07 3.0558717856418621e+07 3.0510097306085337e+07 3.0475760824253347e+07 3.0441112834882095e+07 3.0405769310956921e+07 3.0368754039343484e+07 3.0330570040472999e+07 3.0290118572881050e+07 3.0248762440898106e+07 3.0202808860861924e+07 3.0153628593827050e+07 3.0100316631348051e+07 3.0042166273139350e+07 2.9978318761141893e+07 2.9907806684461992e+07 2.9829239835450012e+07 2.9742790241942432e+07 2.9645173713860020e+07 2.9535728347905900e+07 2.9412866082983475e+07 2.9274877915222894e+07 2.9120001422665183e+07 2.8946468827008255e+07 2.8752324763413399e+07 2.8537846406693209e+07 2.8299261677239340e+07 2.8037398483027574e+07 2.7752862599918362e+07 2.7447885828177448e+07 2.7126265423150055e+07 2.6795229038065806e+07 2.6465531619222514e+07 2.6154801636772726e+07 2.5885167101169612e+07 2.5691324416884493e+07 2.5621593481195413e+07 2.5746201924974900e+07 2.6167341559879441e+07 2.7039872131272875e+07 2.8608940247082606e+07 3.1287644330899514e+07 5.3279851365355244e+06 +1.1169423141047320e+01 1.0627446494488212e+08 1.0626381530315708e+08 1.0624571808909652e+08 1.0622151245627733e+08 1.0619620765110143e+08 1.0617795544629557e+08 1.0617053691534595e+08 1.0616767160757582e+08 1.0616267986304496e+08 1.0615375765662678e+08 1.0614112855884553e+08 1.0612433023477601e+08 1.0610253082906024e+08 1.0607487401826225e+08 1.0604045153630389e+08 1.0599815750322220e+08 1.0594666634598675e+08 1.0588443521739383e+08 1.0580965974701311e+08 1.0572021190067810e+08 1.0561359966188957e+08 1.0548685106715178e+08 1.0533585858017026e+08 1.0515356026728821e+08 1.0493230558401798e+08 1.0466824473159839e+08 1.0435700419741461e+08 1.0399172054907714e+08 1.0356400143551530e+08 1.0306426481667848e+08 1.0248174087976851e+08 1.0180443635812333e+08 1.0101913938178532e+08 1.0011148972584999e+08 9.9066147160207763e+07 9.7867068906100810e+07 9.6497960808385134e+07 9.4942918147654399e+07 9.3187313918251827e+07 9.1218922663919166e+07 8.8857249363686070e+07 8.6236841307744414e+07 8.3363898491208002e+07 8.0256494482209980e+07 7.6946201694210142e+07 7.3478539586153403e+07 6.9911732770197704e+07 6.6313478070476353e+07 6.2755902379520707e+07 5.9308955856913112e+07 5.6033944454449520e+07 5.2979416134775907e+07 5.0178442438265063e+07 4.7645030228576764e+07 4.5378255017313302e+07 4.3366755165319838e+07 4.1591250289312810e+07 4.0029272644899063e+07 3.8657218927003190e+07 3.7453845632531755e+07 3.6398687457086354e+07 3.5475262914408527e+07 3.4667805273440249e+07 3.3964835954825900e+07 3.3354753319946036e+07 3.2827815169432264e+07 3.2376461728662103e+07 3.1992657468309343e+07 3.1668655454171661e+07 3.1398805827522565e+07 3.1176053740796089e+07 3.0995297437979817e+07 3.0850648802286047e+07 3.0737058212233387e+07 3.0647657885686472e+07 3.0575749471344277e+07 3.0516363988099474e+07 3.0464770311159611e+07 3.0416298986405216e+07 3.0382068010536838e+07 3.0347526522905875e+07 3.0312291655280937e+07 3.0275390185589653e+07 3.0237323583671916e+07 3.0196996515304126e+07 3.0155767441546127e+07 3.0109955145388521e+07 3.0060926082046531e+07 3.0007778025356375e+07 2.9949806447657555e+07 2.9886155231030613e+07 2.9815859938620474e+07 2.9737534667210013e+07 2.9651350764985334e+07 2.9554034349134348e+07 2.9444925461085219e+07 2.9322440921981625e+07 2.9184876981977638e+07 2.9030476637419444e+07 2.8857477544788238e+07 2.8663930379988894e+07 2.8450111320720334e+07 2.8212260086826008e+07 2.7951201954091530e+07 2.7667540836068831e+07 2.7363501671734676e+07 2.7042870042411163e+07 2.6712851381109171e+07 2.6384167596702054e+07 2.6074392830202747e+07 2.5805587249246564e+07 2.5612340509684615e+07 2.5542823983019635e+07 2.5667049344550796e+07 2.6086894245922800e+07 2.6956742354401547e+07 2.8520986653679844e+07 3.1191455378649428e+07 5.3086602226730557e+06 +1.1174391463821578e+01 1.0600942136023831e+08 1.0599879737298039e+08 1.0598074426361485e+08 1.0595659683789328e+08 1.0593135097331041e+08 1.0591313764303103e+08 1.0590572840805238e+08 1.0590285877130757e+08 1.0589786558420360e+08 1.0588894871612303e+08 1.0587633055185965e+08 1.0585954928512424e+08 1.0583777439611693e+08 1.0581015082599530e+08 1.0577577157508014e+08 1.0573353235978203e+08 1.0568210951246426e+08 1.0561996235855235e+08 1.0554528907616912e+08 1.0545596466145796e+08 1.0534950067481099e+08 1.0522292948124011e+08 1.0507214978145987e+08 1.0489011040304866e+08 1.0466917128205945e+08 1.0440548785451379e+08 1.0409469414981188e+08 1.0372993795476316e+08 1.0330284048207894e+08 1.0280383550028329e+08 1.0222217148306730e+08 1.0154587623674390e+08 1.0076176205952242e+08 9.9855496270782098e+07 9.8811769764064267e+07 9.7614574586594179e+07 9.6247655002906039e+07 9.4695147915341750e+07 9.2942470268997803e+07 9.0977441455110833e+07 8.8619916369856313e+07 8.6004257669975922e+07 8.3136700945717737e+07 8.0035335717003658e+07 7.6731722652524278e+07 7.3271334415588185e+07 6.9712309003557459e+07 6.6122216725214683e+07 6.2573024055380434e+07 5.9134500353691347e+07 5.5867768069141202e+07 5.2821204065149851e+07 5.0027736334557690e+07 4.7501275877759978e+07 4.5240845707811743e+07 4.3235067860198282e+07 4.1464678060718194e+07 3.9907243838753514e+07 3.8539209561563782e+07 3.7339379372595839e+07 3.6287338977793902e+07 3.5366649458118014e+07 3.4561587341141909e+07 3.3860705656717271e+07 3.3252436107349791e+07 3.2727064814214457e+07 3.2277053944067217e+07 3.1894391900249958e+07 3.1571354861453611e+07 3.1302309668281805e+07 3.1080222743878502e+07 3.0900007270419624e+07 3.0755792651054271e+07 3.0642544038646832e+07 3.0553413988097880e+07 3.0481724112188756e+07 3.0422519913553249e+07 3.0371084243693929e+07 3.0322761730351299e+07 3.0288635967047565e+07 3.0254200684837181e+07 3.0219074171119582e+07 3.0182286186587896e+07 3.0144336654833384e+07 3.0104133639276501e+07 3.0063031270501148e+07 3.0017359864957545e+07 2.9968481584444687e+07 2.9915496977340762e+07 2.9857703682541210e+07 2.9794248214856036e+07 2.9724169103371684e+07 2.9646084736995861e+07 2.9560165786938637e+07 2.9463148648049813e+07 2.9354375301363204e+07 2.9232267436730407e+07 2.9095126543717071e+07 2.8941201021914653e+07 2.8768733947413053e+07 2.8575782019917794e+07 2.8362620423494846e+07 2.8125500643651493e+07 2.7865245331655130e+07 2.7582456544004384e+07 2.7279352377474245e+07 2.6959706771819998e+07 2.6630703001711711e+07 2.6303030030365787e+07 2.5994207821564078e+07 2.5726228888033561e+07 2.5533576434479170e+07 2.5464273719945937e+07 2.5588117065420885e+07 2.6006670836855348e+07 2.6873843948420901e+07 2.8433277856911089e+07 3.1095534144549873e+07 5.2894022635593917e+06 +1.1179359786595837e+01 1.0574490399318114e+08 1.0573430608349247e+08 1.0571629704982069e+08 1.0569220785498688e+08 1.0566702081239520e+08 1.0564884631170446e+08 1.0564144638818437e+08 1.0563857246662162e+08 1.0563357788302396e+08 1.0562466639526787e+08 1.0561205920672452e+08 1.0559529504096116e+08 1.0557354471271700e+08 1.0554595442848299e+08 1.0551161845544754e+08 1.0546943410686354e+08 1.0541807962114258e+08 1.0535601649723721e+08 1.0528144546302943e+08 1.0519224454623111e+08 1.0508592888505058e+08 1.0495953517456827e+08 1.0480896835274078e+08 1.0462718800919390e+08 1.0440656456695925e+08 1.0414325870144829e+08 1.0383291198063925e+08 1.0346868340856555e+08 1.0304220776010717e+08 1.0254393460980920e+08 1.0196313071234001e+08 1.0128784493869686e+08 1.0050491374222426e+08 9.9600031967036352e+07 9.8557921602943122e+07 9.7362609485150635e+07 9.5997878246005863e+07 9.4447906341208816e+07 9.2698154578658819e+07 9.0736487086950317e+07 8.8383108394498780e+07 8.5772196393948331e+07 8.2910022051099345e+07 7.9814690608353466e+07 7.6517750772859186e+07 7.3064628239137873e+07 6.9513374296255246e+07 6.5931432756310634e+07 6.2390609829937339e+07 5.8960494363362856e+07 5.5702025696415424e+07 5.2663410059563279e+07 4.9877432381974041e+07 4.7357908217155568e+07 4.5103808409755781e+07 4.3103738903285220e+07 4.1338451658140495e+07 3.9785549521150954e+07 3.8421524508922800e+07 3.7225228360379413e+07 3.6176297707183599e+07 3.5258336119783834e+07 3.4455663291017592e+07 3.3756863791670077e+07 3.3150402585474856e+07 3.2626594044583406e+07 3.2177922223345153e+07 3.1796399395794496e+07 3.1474324793152075e+07 3.1206081912518281e+07 3.0984658390939016e+07 3.0804982310861751e+07 3.0661200549493235e+07 3.0548292996512000e+07 3.0459432490873829e+07 3.0387960556922346e+07 3.0328937144312985e+07 3.0277659044603355e+07 3.0229484929455679e+07 3.0195464086017150e+07 3.0161134713571262e+07 3.0126116252042558e+07 3.0089441436636940e+07 3.0051608649048906e+07 3.0011529340732735e+07 2.9970553324490562e+07 2.9925022417230617e+07 2.9876294499645784e+07 2.9823472886939555e+07 2.9765857378581613e+07 2.9702597114783321e+07 2.9632733582216274e+07 2.9554889449926566e+07 2.9469234714657061e+07 2.9372516019309785e+07 2.9264077279682066e+07 2.9142345040621277e+07 2.9005626016614601e+07 2.8852173995363578e+07 2.8680237457573529e+07 2.8487879109784491e+07 2.8275373145886086e+07 2.8038982783285368e+07 2.7779528056565259e+07 2.7497609170236066e+07 2.7195437397944659e+07 2.6876775070365995e+07 2.6548783365436867e+07 2.6222118392404888e+07 2.5914246089214221e+07 2.5647091501266748e+07 2.5455031678891256e+07 2.5385942180990107e+07 2.5509404574124012e+07 2.5926670810801595e+07 2.6791176374042064e+07 2.8345813286196150e+07 3.0999880004626308e+07 5.2702110418856675e+06 +1.1184328109370096e+01 1.0548091299153112e+08 1.0547034102499522e+08 1.0545237591099161e+08 1.0542834500474459e+08 1.0540321666874368e+08 1.0538508095080376e+08 1.0537769035436663e+08 1.0537481219210096e+08 1.0536981625773694e+08 1.0536091019198389e+08 1.0534831402142729e+08 1.0533156699976733e+08 1.0530984127604429e+08 1.0528228432239445e+08 1.0524799167353955e+08 1.0520586224009345e+08 1.0515457616694985e+08 1.0509259712760103e+08 1.0501812840068099e+08 1.0492905104677145e+08 1.0482288378299981e+08 1.0469666763582036e+08 1.0454631378100945e+08 1.0436479257020956e+08 1.0414448492065616e+08 1.0388155675088499e+08 1.0357165716439520e+08 1.0320795638034518e+08 1.0278210273422049e+08 1.0228456160347643e+08 1.0170461801873706e+08 1.0103034190671445e+08 1.0024859386291376e+08 9.9345096236676127e+07 9.8304602086485863e+07 9.7111172996969342e+07 9.5748629916796997e+07 9.4201192786568627e+07 9.2454366188957572e+07 9.0496058879608631e+07 8.8146824732775748e+07 8.5540656748271868e+07 8.2683861048833773e+07 7.9594558370624557e+07 7.6304285243612587e+07 7.2858420221858889e+07 6.9314927793568105e+07 6.5741125294490993e+07 6.2208658825379826e+07 5.8786937005729280e+07 5.5536716460161544e+07 5.2506033251850538e+07 4.9727529728722773e+07 4.7214926412784204e+07 4.4967142308909141e+07 4.2972767500896089e+07 4.1212570308581941e+07 3.9664188938775353e+07 3.8304163034199871e+07 3.7111391877977200e+07 3.6065562942903936e+07 3.5150322210832797e+07 3.4350032446843967e+07 3.3653309694280282e+07 3.3048652098470528e+07 3.2526402212984629e+07 3.2079065926120806e+07 3.1698679320670731e+07 3.1377564620187752e+07 3.1110121935500849e+07 3.0889360060863674e+07 3.0710221941184383e+07 3.0566871881935567e+07 3.0454304472170971e+07 3.0365712782018624e+07 3.0294458194861051e+07 3.0235615070818327e+07 3.0184494105325677e+07 3.0136467976122510e+07 3.0102551760516040e+07 3.0068328002877519e+07 3.0033417292534985e+07 2.9996855330994181e+07 2.9959138962292086e+07 2.9919183016449679e+07 2.9878333001119066e+07 2.9832942200702231e+07 2.9784364227149922e+07 2.9731705154774919e+07 2.9674266937529095e+07 2.9611201333795220e+07 2.9541552779563703e+07 2.9463948211946916e+07 2.9378556955782734e+07 2.9282135872576691e+07 2.9174030807814483e+07 2.9052673147918422e+07 2.8916374817646969e+07 2.8763394977897193e+07 2.8591987498803351e+07 2.8400221077005260e+07 2.8188368919488091e+07 2.7952705942169290e+07 2.7694049570446126e+07 2.7412998162059844e+07 2.7111756186563790e+07 2.6794074397838827e+07 2.6467091938687976e+07 2.6141432155750677e+07 2.5834507112270426e+07 2.5568174573451202e+07 2.5376705731313467e+07 2.5307828855900604e+07 2.5430911357878469e+07 2.5846893646653041e+07 2.6708739092785168e+07 2.8258592371782199e+07 3.0904492335771661e+07 5.2510863409790285e+06 +1.1189296432144355e+01 1.0521744822659220e+08 1.0520690200674039e+08 1.0518898062401047e+08 1.0516500778626923e+08 1.0513993804259339e+08 1.0512184105700116e+08 1.0511445980317993e+08 1.0511157744431166e+08 1.0510658020461935e+08 1.0509767960250284e+08 1.0508509449158767e+08 1.0506836465690972e+08 1.0504666358115669e+08 1.0501914000230014e+08 1.0498489072367233e+08 1.0494281625288962e+08 1.0489159864264746e+08 1.0482970374151877e+08 1.0475533738013633e+08 1.0466638365275256e+08 1.0456036485705228e+08 1.0443432635186033e+08 1.0428418555091254e+08 1.0410292356855945e+08 1.0388293182272057e+08 1.0362038147909084e+08 1.0331092917357212e+08 1.0294775633812705e+08 1.0252252486705320e+08 1.0202571593781465e+08 1.0144663285143171e+08 1.0077336658181731e+08 9.9992801852905899e+07 9.9090688500178486e+07 9.8051810622549191e+07 9.6860264515838534e+07 9.5499909393004030e+07 9.3955006611258447e+07 9.2211104440033764e+07 9.0256156151739568e+07 8.7911064678544790e+07 8.5309638000629649e+07 8.2458217179556236e+07 7.9374938217484668e+07 7.6091325252712667e+07 7.2652709528371707e+07 6.9116968640748411e+07 6.5551293470548809e+07 6.2027170164000779e+07 5.8613827401135541e+07 5.5371839484959900e+07 5.2349072776444897e+07 4.9578027523773000e+07 4.7072329631426401e+07 4.4830846591910884e+07 4.2842152860438921e+07 4.1087033239831083e+07 3.9543161339154430e+07 3.8187124403462432e+07 3.6997869208504423e+07 3.5955133983415380e+07 3.5042607043635927e+07 3.4244694133266591e+07 3.3550042700134411e+07 3.2947183991391793e+07 3.2426488672764540e+07 3.1980484412858479e+07 3.1601231041469455e+07 3.1281073714348406e+07 3.1014429113435932e+07 3.0794327133502755e+07 3.0615725544248916e+07 3.0472806033710733e+07 3.0360577852882124e+07 3.0272254250393376e+07 3.0201216416201226e+07 3.0142553084398661e+07 3.0091588818195246e+07 3.0043710263624869e+07 3.0009898384503480e+07 2.9975779947422508e+07 2.9940976687975816e+07 2.9904527265738636e+07 2.9866926991456773e+07 2.9827094064067930e+07 2.9786369698874783e+07 2.9741118614773687e+07 2.9692690167330563e+07 2.9640193182229374e+07 2.9582931761983406e+07 2.9520060275730077e+07 2.9450626100666199e+07 2.9373260429890990e+07 2.9288131918884438e+07 2.9192007618337691e+07 2.9084235298449334e+07 2.8963251173730440e+07 2.8827372364688050e+07 2.8674863390397478e+07 2.8503983495483041e+07 2.8312807349808075e+07 2.8101607176906660e+07 2.7866669557536840e+07 2.7608809315761104e+07 2.7328622967617489e+07 2.7028308197501529e+07 2.6711604214810457e+07 2.6385628188609388e+07 2.6060970794144224e+07 2.5754990370661180e+07 2.5489477589840993e+07 2.5298598080827415e+07 2.5229933235190906e+07 2.5352636904775236e+07 2.5767338824038010e+07 2.6626531566933550e+07 2.8171614544801500e+07 3.0809370515841268e+07 5.2320279448010996e+06 +1.1194264754918613e+01 1.0495450820537806e+08 1.0494398837428640e+08 1.0492611091125879e+08 1.0490219569333415e+08 1.0487718443338613e+08 1.0485912612542656e+08 1.0485175422919355e+08 1.0484886771783172e+08 1.0484386921804835e+08 1.0483497412062347e+08 1.0482240011095086e+08 1.0480568750578651e+08 1.0478401112110168e+08 1.0475652096086821e+08 1.0472231509773742e+08 1.0468029563681088e+08 1.0462914653896506e+08 1.0456733582890022e+08 1.0449307189020370e+08 1.0440424185203642e+08 1.0429837159359407e+08 1.0417251080746597e+08 1.0402258314538762e+08 1.0384158048497915e+08 1.0362190475098343e+08 1.0335973236056830e+08 1.0305072747874852e+08 1.0268808274782163e+08 1.0226347361930470e+08 1.0176739706723529e+08 1.0118917465774003e+08 1.0051691840293084e+08 9.9737537141937301e+07 9.8836808176031902e+07 9.7799546617295370e+07 9.6609883433816612e+07 9.5251716050869614e+07 9.3709347173782587e+07 9.1968368670689955e+07 9.0016778220861256e+07 8.7675827524495825e+07 8.5079139417735681e+07 8.2233089683063939e+07 7.9155829361958444e+07 7.5878869987693042e+07 7.2447495323083773e+07 6.8919495982985213e+07 6.5361936415518939e+07 6.1846142968513340e+07 5.8441164670351811e+07 5.5207393895944841e+07 5.2192527768536977e+07 4.9428924916878417e+07 4.6930117040790364e+07 4.4694920446327142e+07 4.2711894190134779e+07 4.0961839680761144e+07 3.9422465970913842e+07 3.8070407883780845e+07 3.6884659635986052e+07 3.5845010128218375e+07 3.4935189931458540e+07 3.4139647675915167e+07 3.3447062145685576e+07 3.2845997610245582e+07 3.2326852778209850e+07 3.1882177045019589e+07 3.1504053925715264e+07 3.1184851448376350e+07 3.0919002823355041e+07 3.0699558989561364e+07 3.0521492503773887e+07 3.0379002391025610e+07 3.0267112526837751e+07 3.0179056285748623e+07 3.0108234612038210e+07 3.0049750577296570e+07 2.9998942576452062e+07 2.9951211186150577e+07 2.9917503352868851e+07 2.9883489942729302e+07 2.9848793834582213e+07 2.9812456637868732e+07 2.9774972134248152e+07 2.9735261882135753e+07 2.9694662817105252e+07 2.9649551059733231e+07 2.9601271721437421e+07 2.9548936371637911e+07 2.9491851255392987e+07 2.9429173345363617e+07 2.9359952951677490e+07 2.9282825511457529e+07 2.9197959013372138e+07 2.9102130667942543e+07 2.8994690165115599e+07 2.8874078533995759e+07 2.8738618076421469e+07 2.8586578654683728e+07 2.8416224872872267e+07 2.8225637357294228e+07 2.8015087351411127e+07 2.7780873067508519e+07 2.7523806735776983e+07 2.7244483035804141e+07 2.6945092885755207e+07 2.6629363982645769e+07 2.6304391583146743e+07 2.5980733782059658e+07 2.5675695345000573e+07 2.5411000036452774e+07 2.5220708217309881e+07 2.5152254810110759e+07 2.5274580703553498e+07 2.5688005823399212e+07 2.6544553259585444e+07 2.8084879237128012e+07 3.0714513923567876e+07 5.2130356379464436e+06 +1.1199233077692872e+01 1.0469209398853806e+08 1.0468160000016637e+08 1.0466376612473933e+08 1.0463990821188329e+08 1.0461495533815609e+08 1.0459693564945413e+08 1.0458957312480403e+08 1.0458668250496817e+08 1.0458168278997257e+08 1.0457279323839061e+08 1.0456023037131359e+08 1.0454353503787164e+08 1.0452188338674435e+08 1.0449442668876433e+08 1.0446026428588556e+08 1.0441829988127705e+08 1.0436721934477594e+08 1.0430549287777309e+08 1.0423133141788936e+08 1.0414262513037516e+08 1.0403690347711441e+08 1.0391122048530829e+08 1.0376150604528561e+08 1.0358076279784715e+08 1.0336140318124740e+08 1.0309960886796871e+08 1.0279105154863884e+08 1.0242893507363437e+08 1.0200494844973452e+08 1.0150960444455476e+08 1.0093224288325839e+08 1.0026099680759074e+08 9.9482799157667398e+07 9.8583454681229055e+07 9.7547809475099266e+07 9.6360029141201690e+07 9.5004049264871746e+07 9.3464213831009492e+07 9.1726158218414322e+07 8.9777924403115883e+07 8.7441112562381595e+07 8.4849160265175298e+07 8.2008477798297733e+07 7.8937231016437694e+07 7.5666918635436371e+07 7.2242776770166889e+07 6.8722508965367943e+07 6.5173053260391451e+07 6.1665576361840740e+07 5.8268947934535250e+07 5.5043378818865657e+07 5.2036397364060439e+07 4.9280221058663659e+07 4.6788287809376054e+07 4.4559363060621262e+07 4.2581990699145414e+07 4.0836988861088946e+07 3.9302102083459422e+07 3.7954012743130289e+07 3.6771762445448771e+07 3.5735190677730672e+07 3.4828070188568659e+07 3.4034892401374660e+07 3.3344367368377946e+07 3.2745092301962353e+07 3.2227493884540964e+07 3.1784143184923381e+07 3.1407147341868337e+07 3.1088897195870534e+07 3.0823842443288051e+07 3.0605055010721534e+07 3.0427522204432923e+07 3.0285460340934072e+07 3.0173907883103374e+07 3.0086118278772030e+07 3.0015512174368881e+07 2.9957206942625664e+07 2.9906554774178058e+07 2.9858970138791747e+07 2.9825366061368931e+07 2.9791457385282572e+07 2.9756868129552815e+07 2.9720642845252331e+07 2.9683273789348342e+07 2.9643685870130137e+07 2.9603211756093178e+07 2.9558238936772525e+07 2.9510108291633252e+07 2.9457934126233220e+07 2.9401024822127849e+07 2.9338539948318679e+07 2.9269532739619818e+07 2.9192642865260404e+07 2.9108037649543572e+07 2.9012504433617279e+07 2.8905394822197098e+07 2.8785154645590916e+07 2.8650111372430943e+07 2.8498540193367247e+07 2.8328711057023715e+07 2.8138710529365808e+07 2.7928808877207693e+07 2.7695315910960384e+07 2.7439041274614688e+07 2.7160577816407893e+07 2.6862109707107328e+07 2.6547353163531594e+07 2.6223381591047611e+07 2.5900720594777387e+07 2.5596621516771667e+07 2.5332741400083028e+07 2.5143035631368555e+07 2.5074793072641626e+07 2.5196742243734993e+07 2.5608894125897165e+07 2.6462803634600610e+07 2.7998385881565746e+07 3.0619921938580342e+07 5.1941092056410741e+06 +1.1204201400467131e+01 1.0443020366562946e+08 1.0441973572507243e+08 1.0440194545688252e+08 1.0437814482488470e+08 1.0435325025119944e+08 1.0433526912066185e+08 1.0432791598062004e+08 1.0432502129629441e+08 1.0432002041074622e+08 1.0431113644576657e+08 1.0429858476227516e+08 1.0428190674247484e+08 1.0426027986732613e+08 1.0423285667453074e+08 1.0419873777607949e+08 1.0415682847372079e+08 1.0410581654667836e+08 1.0404417437389073e+08 1.0397011544810377e+08 1.0388153297151288e+08 1.0377595998992030e+08 1.0365045486618890e+08 1.0350095372951283e+08 1.0332046998389752e+08 1.0310142658737199e+08 1.0284001047178546e+08 1.0253190084976141e+08 1.0217031277763356e+08 1.0174694881533518e+08 1.0125233752037136e+08 1.0067583697168076e+08 1.0000560123103052e+08 9.9228587326187611e+07 9.8330627430941939e+07 9.7296598598954901e+07 9.6110701026951686e+07 9.4756908408136040e+07 9.3219605938405514e+07 9.1484472419254601e+07 8.9539594013551697e+07 8.7206919082616776e+07 8.4619699807676554e+07 8.1784380763352379e+07 7.8719142392531738e+07 7.5455470382541016e+07 7.2038553033422440e+07 6.8526006732851222e+07 6.4984643136382826e+07 6.1485469467232324e+07 5.8097176315386057e+07 5.4879793380060486e+07 5.1880680699516825e+07 4.9131915100499012e+07 4.6646841106646083e+07 4.4424173624232963e+07 4.2452441597609408e+07 4.0712480011537246e+07 3.9182068927348681e+07 3.7837938250487618e+07 3.6659176922833681e+07 3.5625674933343373e+07 3.4721247130203657e+07 3.3930427637156427e+07 3.3241957706554037e+07 3.2644467414412800e+07 3.2128411347898748e+07 3.1686382195823405e+07 3.1310510659284156e+07 3.0993210331435282e+07 3.0728947352134850e+07 3.0510814579502877e+07 3.0333814031770531e+07 3.0192179271460511e+07 3.0080963311670959e+07 2.9993439621025253e+07 2.9923048496102285e+07 2.9864921574423160e+07 2.9814424806454998e+07 2.9766986517550178e+07 2.9733485906637494e+07 2.9699681672433656e+07 2.9665198970875546e+07 2.9629085286656566e+07 2.9591831356231064e+07 2.9552365428365290e+07 2.9512015916979324e+07 2.9467181647912461e+07 2.9419199280936394e+07 2.9367185850051861e+07 2.9310451867443226e+07 2.9248159491052076e+07 2.9179364872365773e+07 2.9102711900689438e+07 2.9018367238561526e+07 2.8923128328450579e+07 2.8816348684969809e+07 2.8696478926175036e+07 2.8561851673143268e+07 2.8410747429944500e+07 2.8241441474867634e+07 2.8052026296852577e+07 2.7842771189324219e+07 2.7609997527633321e+07 2.7354512377207328e+07 2.7076906759958554e+07 2.6779358118145913e+07 2.6465571220441740e+07 2.6142597681816619e+07 2.5820930708330110e+07 2.5517768368144568e+07 2.5254701168241590e+07 2.5065579814393464e+07 2.4997547515559930e+07 2.5119121015633438e+07 2.5530003213467587e+07 2.6381282156679284e+07 2.7912133911749832e+07 3.0525593941474177e+07 5.1752484337408971e+06 +1.1209169723241390e+01 1.0416883665858473e+08 1.0415839478242351e+08 1.0414064831805502e+08 1.0411690501719229e+08 1.0409206866421576e+08 1.0407412602883959e+08 1.0406678228509864e+08 1.0406388358026612e+08 1.0405888156844234e+08 1.0405000323085627e+08 1.0403746277157137e+08 1.0402080210696709e+08 1.0399920004973271e+08 1.0397181040466978e+08 1.0393773505461402e+08 1.0389588089967018e+08 1.0384493762953781e+08 1.0378337980134037e+08 1.0370942346373677e+08 1.0362096485720614e+08 1.0351554061242919e+08 1.0339021342901395e+08 1.0324092567501158e+08 1.0306070151775280e+08 1.0284197444134273e+08 1.0258093664057499e+08 1.0227327484707183e+08 1.0191221532018811e+08 1.0148947417106973e+08 1.0099559574377736e+08 1.0041995636490093e+08 9.9750731106988236e+07 9.8974901071633518e+07 9.8078325838661522e+07 9.7045913389956132e+07 9.5861898478139386e+07 9.4510292852174506e+07 9.2975522850024998e+07 9.1243310607964158e+07 8.9301786365715012e+07 8.6973246374602243e+07 8.4390757308909759e+07 8.1560797815516427e+07 7.8501562701316968e+07 7.5244524415063247e+07 7.1834823276455507e+07 6.8329988430459663e+07 6.4796705174780875e+07 6.1305821408239000e+07 5.7925848935040779e+07 5.4716636706401952e+07 5.1725376912291527e+07 4.8984006194531485e+07 4.6505776102794811e+07 4.4289351327391669e+07 4.2323246096610993e+07 4.0588312363802552e+07 3.9062365753973387e+07 3.7722183675819136e+07 3.6546902355081096e+07 3.5516462197388954e+07 3.4614720072504066e+07 3.3826252711717002e+07 3.3139832499525562e+07 3.2544122296429988e+07 3.2029604525340311e+07 3.1588893441940028e+07 3.1214143248240680e+07 3.0897790230479669e+07 3.0634316929719336e+07 3.0416837079387512e+07 3.0240367372232519e+07 3.0099158571562123e+07 2.9988278203377645e+07 2.9901019704978850e+07 2.9830842971023049e+07 2.9772893867600486e+07 2.9722552069176622e+07 2.9675259719257697e+07 2.9641862286247518e+07 2.9608162202359810e+07 2.9573785757528275e+07 2.9537783361760054e+07 2.9500644235361628e+07 2.9461299958062511e+07 2.9421074701777335e+07 2.9376378596105218e+07 2.9328544093263883e+07 2.9276690948101249e+07 2.9220131797399919e+07 2.9158031380988933e+07 2.9089448758717790e+07 2.9013032028127693e+07 2.8928947192441516e+07 2.8834001766416177e+07 2.8727551169557355e+07 2.8608050794324566e+07 2.8473838399842545e+07 2.8323199788778458e+07 2.8154415554192949e+07 2.7965584091317646e+07 2.7756973723604307e+07 2.7524917358108915e+07 2.7270219489274930e+07 2.6993469317819741e+07 2.6696837576275326e+07 2.6384017617108993e+07 2.6062039325759225e+07 2.5741363599581327e+07 2.5439135382078834e+07 2.5176878829214491e+07 2.4988340258487586e+07 2.4920517632345200e+07 2.5041716510280360e+07 2.5451332568880197e+07 2.6299988291293696e+07 2.7826122762106951e+07 3.0431529313747849e+07 5.1564531087302342e+06 +1.1214138046015648e+01 1.0390799401198970e+08 1.0389757699725436e+08 1.0387987431269969e+08 1.0385618827527486e+08 1.0383141006593464e+08 1.0381350586163828e+08 1.0380617152481461e+08 1.0380326884330399e+08 1.0379826574936025e+08 1.0378939307934485e+08 1.0377686388494754e+08 1.0376022061677121e+08 1.0373864341905895e+08 1.0371128736381173e+08 1.0367725560531937e+08 1.0363545664263617e+08 1.0358458207605503e+08 1.0352310864201319e+08 1.0344925494584063e+08 1.0336092026744246e+08 1.0325564482317927e+08 1.0313049565053926e+08 1.0298142135669388e+08 1.0280145687215562e+08 1.0258304621304965e+08 1.0232238684118713e+08 1.0201517300347911e+08 1.0165464215969779e+08 1.0123252397016452e+08 1.0073937856183432e+08 1.0016460050285956e+08 9.9496385867434546e+07 9.8721739816669151e+07 9.7826549316164464e+07 9.6795753247616157e+07 9.5613620880582958e+07 9.4264201966990381e+07 9.2731963918568045e+07 9.1002672117936015e+07 8.9064500772239953e+07 8.6740093726579532e+07 8.4162332031634867e+07 8.1337728191275090e+07 7.8284491153297067e+07 7.5034079918610513e+07 7.1631586662672624e+07 6.8134453202984139e+07 6.4609238507014476e+07 6.1126631308709510e+07 5.7754964916017726e+07 5.4553907925472558e+07 5.1570485140358917e+07 4.8836493493746608e+07 4.6365091969020493e+07 4.4154895361332387e+07 4.2194403408180639e+07 4.0464485150476441e+07 3.8942991815732993e+07 3.7606748289999455e+07 3.6434938030055620e+07 3.5407551773201972e+07 3.4508488332587361e+07 3.3722366954491340e+07 3.3037991087580170e+07 3.2444056297710747e+07 3.1931072774906408e+07 3.1491676288387742e+07 3.1118044479965821e+07 3.0802636269440882e+07 3.0539950556786034e+07 3.0323121894745033e+07 3.0147181613210894e+07 3.0006397631000567e+07 2.9895851950053733e+07 2.9808857924019512e+07 2.9738894993835419e+07 2.9681123217997044e+07 2.9630935959171873e+07 2.9583789141669806e+07 2.9550494598634340e+07 2.9516898374218471e+07 2.9482627889306631e+07 2.9446736471134130e+07 2.9409711828027710e+07 2.9370488861320779e+07 2.9330387513447545e+07 2.9285829185205437e+07 2.9238142133421145e+07 2.9186448826207411e+07 2.9130064019073352e+07 2.9068155026366904e+07 2.8999783808317184e+07 2.8923602658772774e+07 2.8839776924105261e+07 2.8745124162351746e+07 2.8639001692964632e+07 2.8519869669482052e+07 2.8386070974669788e+07 2.8235896695072904e+07 2.8067632723631911e+07 2.7879383345241256e+07 2.7671415916725244e+07 2.7440074843792468e+07 2.7186162057404157e+07 2.6910264942212448e+07 2.6614547539732609e+07 2.6302691818095870e+07 2.5981705993990306e+07 2.5662018746075924e+07 2.5360722042298101e+07 2.5099273872085694e+07 2.4911316456559218e+07 2.4843702917281952e+07 2.4964528219488453e+07 2.5372881675574765e+07 2.6218921504692603e+07 2.7740351867928490e+07 3.0337727437806334e+07 5.1377230177202635e+06 +1.1219106368789907e+01 1.0364767360169035e+08 1.0363728249656767e+08 1.0361962295579034e+08 1.0359599408726196e+08 1.0357127394331002e+08 1.0355340810468462e+08 1.0354608318435839e+08 1.0354317656984001e+08 1.0353817243772577e+08 1.0352930547552703e+08 1.0351678758609079e+08 1.0350016175531295e+08 1.0347860945834324e+08 1.0345128703466322e+08 1.0341729891053905e+08 1.0337555518410599e+08 1.0332474936718345e+08 1.0326336037593625e+08 1.0318960937354687e+08 1.0310139867994960e+08 1.0299627209863065e+08 1.0287130100585321e+08 1.0272244024765244e+08 1.0254273551787776e+08 1.0232464137069573e+08 1.0206436053842795e+08 1.0175759477991165e+08 1.0139759275271170e+08 1.0097609766398273e+08 1.0048368541983393e+08 9.9909768824001521e+07 9.9242564942527890e+07 9.8469102982030019e+07 9.7575297273596257e+07 9.6546117569849402e+07 9.5365867618119434e+07 9.4018635121264517e+07 9.2488928495145172e+07 9.0762556281391114e+07 8.8827736544324890e+07 8.6507460425876036e+07 8.3934423237681270e+07 8.1115171126470253e+07 7.8067926958241522e+07 7.4824136078401521e+07 7.1428842355116680e+07 6.7939400195323586e+07 6.4422242264590323e+07 6.0947898292821474e+07 5.7584523381463304e+07 5.4391606165426500e+07 5.1416004522545554e+07 4.8689376151984937e+07 4.6224787877287753e+07 4.4020804918143682e+07 4.2065912745277494e+07 4.0340997605198778e+07 3.8823946366050810e+07 3.7491631364893660e+07 3.6323283236704603e+07 3.5298942965014063e+07 3.4402551228526957e+07 3.3618769695831239e+07 3.2936432811856285e+07 3.2344268768977277e+07 3.1832815455492862e+07 3.1394730101207748e+07 3.1022213726592507e+07 3.0707747825637545e+07 3.0445847614981934e+07 3.0229668410848636e+07 3.0054256142981213e+07 2.9913895840524569e+07 2.9803683944369033e+07 2.9716953672401056e+07 2.9647203960132018e+07 2.9589609022326730e+07 2.9539575874147106e+07 2.9492574183511022e+07 2.9459382243138932e+07 2.9425889588038061e+07 2.9391724766954076e+07 2.9355944016190626e+07 2.9319033536425658e+07 2.9279931541163884e+07 2.9239953755787771e+07 2.9195532819896642e+07 2.9147992807105668e+07 2.9096458891144495e+07 2.9040247940298114e+07 2.8978529836337980e+07 2.8910369431712404e+07 2.8834423204684202e+07 2.8750855847352464e+07 2.8656494931962479e+07 2.8550699673037667e+07 2.8431934971897386e+07 2.8298548820655506e+07 2.8148837574893832e+07 2.7981092412646376e+07 2.7793423491950020e+07 2.7586097206251007e+07 2.7355469426915020e+07 2.7102339528995983e+07 2.6827293086133927e+07 2.6532487467504431e+07 2.6221593288768426e+07 2.5901597158362195e+07 2.5582895626230597e+07 2.5282527833327364e+07 2.5021885786641512e+07 2.4834507902216259e+07 2.4767102865373965e+07 2.4887555635788240e+07 2.5294650017814305e+07 2.6138081263933245e+07 2.7654820665346667e+07 3.0244187696978215e+07 5.1190579484475357e+06 +1.1224074691564166e+01 1.0338787607880838e+08 1.0337750992368908e+08 1.0335989370522960e+08 1.0333632194608293e+08 1.0331165978026986e+08 1.0329383224175273e+08 1.0328651674643412e+08 1.0328360624241017e+08 1.0327860111578260e+08 1.0326973990140183e+08 1.0325723335695270e+08 1.0324062500405815e+08 1.0321909764868030e+08 1.0319180889784512e+08 1.0315786445046721e+08 1.0311617600374262e+08 1.0306543898178242e+08 1.0300413448111244e+08 1.0293048622378467e+08 1.0284239957080540e+08 1.0273742191348305e+08 1.0261262896785156e+08 1.0246398181903954e+08 1.0228453692385337e+08 1.0206675938037108e+08 1.0180685719527642e+08 1.0150053963560180e+08 1.0114106655398083e+08 1.0072019470208830e+08 1.0022851576130173e+08 9.9655460764788374e+07 9.8989267760728270e+07 9.8216989987002373e+07 9.7324569119344413e+07 9.6297005753043517e+07 9.5118638073628142e+07 9.3773591681886747e+07 9.2246415929626495e+07 9.0522962428941041e+07 8.8591492991990700e+07 8.6275345758579522e+07 8.3707030187934637e+07 8.0893125855993748e+07 7.7851869325400561e+07 7.4614692079267234e+07 7.1226589516708881e+07 6.7744828552301019e+07 6.4235715579329737e+07 6.0769621485026971e+07 5.7414523454900295e+07 5.4229730555007882e+07 5.1261934198268503e+07 4.8542653323827423e+07 4.6084863000596404e+07 4.3887079190925837e+07 4.1937773321780160e+07 4.0217848962541275e+07 3.8705228659235448e+07 3.7376832173406802e+07 3.6211937264800683e+07 3.5190635078101546e+07 3.4296908079378724e+07 3.3515460267026000e+07 3.2835157014512878e+07 3.2244759061824400e+07 3.1734831927015383e+07 3.1298054247388329e+07 3.0926650361173194e+07 3.0613124277267180e+07 3.0352007486893892e+07 3.0136476013946079e+07 2.9961590350752693e+07 2.9821652591762505e+07 2.9711773579917461e+07 2.9625306345354129e+07 2.9555769266441148e+07 2.9498350678202007e+07 2.9448471212736387e+07 2.9401614244313627e+07 2.9368524620002709e+07 2.9335135244749393e+07 2.9301075792032447e+07 2.9265405399306983e+07 2.9228608763694447e+07 2.9189627401469998e+07 2.9149772833463408e+07 2.9105488905818664e+07 2.9058095520871386e+07 2.9006720550519954e+07 2.8950682969888367e+07 2.8889155220956389e+07 2.8821205040295232e+07 2.8745493078860242e+07 2.8662183376822740e+07 2.8568113491844688e+07 2.8462644528540742e+07 2.8344246122744836e+07 2.8211271361632172e+07 2.8062021855146337e+07 2.7894794051595692e+07 2.7707703965583790e+07 2.7501017030558273e+07 2.7271100550565518e+07 2.7018751352271687e+07 2.6744553203386638e+07 2.6450656819425967e+07 2.6140721495303623e+07 2.5821712291571844e+07 2.5503993719214242e+07 2.5204552240435630e+07 2.4944714063501433e+07 2.4757914089879647e+07 2.4690716972390629e+07 2.4810798252510790e+07 2.5216637080637317e+07 2.6057467036883730e+07 2.7569528591372699e+07 3.0150909475553378e+07 5.1004576892724568e+06 +1.1229043014338425e+01 1.0312859907009888e+08 1.0311825918608768e+08 1.0310068608729976e+08 1.0307717134898773e+08 1.0305256705816227e+08 1.0303477775441456e+08 1.0302747169172557e+08 1.0302455734156451e+08 1.0301955126401278e+08 1.0301069583707824e+08 1.0299820067732190e+08 1.0298160984257260e+08 1.0296010746932952e+08 1.0293285243225418e+08 1.0289895170322074e+08 1.0285731857923576e+08 1.0280665039683616e+08 1.0274543043385792e+08 1.0267188497189431e+08 1.0258392241394550e+08 1.0247909374038251e+08 1.0235447900776486e+08 1.0220604554010473e+08 1.0202686055710813e+08 1.0180939970648102e+08 1.0154987627283011e+08 1.0124400702781269e+08 1.0088506301638362e+08 1.0046481453209850e+08 9.9973869027940437e+07 9.9401675759802505e+07 9.8736493748638779e+07 9.7965400248826399e+07 9.7074364260357842e+07 9.6048417191867828e+07 9.4871931627911568e+07 9.3529071014584273e+07 9.2004425570439488e+07 9.0283889890106186e+07 8.8355769424138531e+07 8.6043749009725705e+07 8.3480152142347306e+07 8.0671591613992795e+07 7.7636317463425249e+07 7.4405747105517313e+07 7.1024827310124695e+07 6.7550737418609321e+07 6.4049657583038986e+07 6.0591800010263853e+07 5.7244964260393955e+07 5.4068280223663941e+07 5.1108273307802200e+07 4.8396324164725445e+07 4.5945316512617350e+07 4.3753717373684682e+07 4.1809984352614455e+07 4.0095038458026372e+07 3.8586837950617984e+07 3.7262349989313751e+07 3.6100899405148678e+07 3.5082627418622278e+07 3.4191558205121562e+07 3.3412438000416674e+07 3.2734163038674939e+07 3.2145526528825670e+07 3.1637121550254490e+07 3.1201648094850138e+07 3.0831353757710397e+07 3.0518765003488049e+07 3.0258429556001846e+07 3.0043544091129836e+07 2.9869183626628973e+07 2.9729667277267970e+07 2.9620120251215618e+07 2.9533915338926505e+07 2.9464590310132481e+07 2.9407347584161520e+07 2.9357621374439560e+07 2.9310908724562697e+07 2.9277921130362093e+07 2.9244634746150497e+07 2.9210680367138263e+07 2.9175120023707706e+07 2.9138436913776685e+07 2.9099575847039651e+07 2.9059844152164791e+07 2.9015696849468201e+07 2.8968449682216756e+07 2.8917233212848149e+07 2.8861368517461754e+07 2.8800030591101203e+07 2.8732290046417553e+07 2.8656811695129417e+07 2.8573758928093679e+07 2.8479979259448290e+07 2.8374835679093771e+07 2.8256802544068623e+07 2.8124238022386178e+07 2.7975448963625051e+07 2.7808737071666442e+07 2.7622224201161660e+07 2.7416174828834757e+07 2.7186967658638634e+07 2.6935396976305012e+07 2.6662044748664964e+07 2.6369055056153994e+07 2.6060075904615644e+07 2.5742050867049526e+07 2.5425312504932251e+07 2.5126794749672718e+07 2.4867758193970963e+07 2.4681534514693994e+07 2.4614544734864034e+07 2.4734255563752685e+07 2.5138842349840347e+07 2.5977078292193204e+07 2.7484475083785333e+07 3.0057892158690654e+07 5.0819220291777626e+06 +1.1234011337112683e+01 1.0286984394108450e+08 1.0285952950024001e+08 1.0284199959578925e+08 1.0281854178698972e+08 1.0279399525533293e+08 1.0277624412205212e+08 1.0276894749916333e+08 1.0276602934605336e+08 1.0276102236070885e+08 1.0275217276072821e+08 1.0273968902519888e+08 1.0272311574850953e+08 1.0270163839755380e+08 1.0267441711463182e+08 1.0264056014525472e+08 1.0259898238623060e+08 1.0254838308739120e+08 1.0248724770834245e+08 1.0241380509100410e+08 1.0232596668158838e+08 1.0222128705015774e+08 1.0209685059466952e+08 1.0194863087823702e+08 1.0176970588273637e+08 1.0155256181143852e+08 1.0129341723027258e+08 1.0098799641193181e+08 1.0062958159090404e+08 1.0020995660000364e+08 9.9719744659669086e+07 9.9148413242193073e+07 9.8484242331318274e+07 9.7714333183432296e+07 9.6824682101755708e+07 9.5800351279478431e+07 9.4625747660497889e+07 9.3285072483410463e+07 9.1762956764612675e+07 9.0045337993274540e+07 8.8120565148519114e+07 8.5812669463266894e+07 8.3253788359922916e+07 8.0450567633957997e+07 7.7421270580335677e+07 7.4197300341169178e+07 7.0823554897746772e+07 6.7357125939155087e+07 6.3864067407824717e+07 6.0414432993606813e+07 5.7075844922460280e+07 5.3907254301382311e+07 5.0955020992104486e+07 4.8250387830974877e+07 4.5806147588092469e+07 4.3620718661268942e+07 4.1682545053544641e+07 3.9972565328134373e+07 3.8468773496487938e+07 3.7148184087451883e+07 3.5990168949570037e+07 3.4974919293789275e+07 3.4086500926725738e+07 3.3309702229166117e+07 3.2633450228337165e+07 3.2046570523510661e+07 3.1539683686957013e+07 3.1105511012437731e+07 3.0736323291091487e+07 3.0424669384392146e+07 3.0165113206720285e+07 2.9950872030437801e+07 2.9777035361606941e+07 2.9637939290525019e+07 2.9528723353682842e+07 2.9442780050127316e+07 2.9373666489572361e+07 2.9316599139657099e+07 2.9267025759709142e+07 2.9220457025631420e+07 2.9187571176288471e+07 2.9154387494988926e+07 2.9120537895657409e+07 2.9085087293558817e+07 2.9048517391613148e+07 2.9009776283556994e+07 2.8970167118311815e+07 2.8926156058238473e+07 2.8879054699493002e+07 2.8827996287551422e+07 2.8772303993605014e+07 2.8711155358598188e+07 2.8643623863222115e+07 2.8568378468221329e+07 2.8485581917537719e+07 2.8392091653113637e+07 2.8287272545153704e+07 2.8169603658725094e+07 2.8037448228506710e+07 2.7889118328965493e+07 2.7722920904913135e+07 2.7536983634536080e+07 2.7331570041185170e+07 2.7103070195883807e+07 2.6852275850953892e+07 2.6579767177375104e+07 2.6287681639108412e+07 2.5979655984502811e+07 2.5662612359095532e+07 2.5346851464158233e+07 2.5049254847838800e+07 2.4791017670193534e+07 2.4605368672584761e+07 2.4538585650082495e+07 2.4657927064326964e+07 2.5061265312025074e+07 2.5896914499315619e+07 2.7399659581314083e+07 2.9965135132520344e+07 5.0634507577670291e+06 +1.1238979659886942e+01 1.0261160981869626e+08 1.0260132062374602e+08 1.0258383370341912e+08 1.0256043273336422e+08 1.0253594384662910e+08 1.0251823082234713e+08 1.0251094364575897e+08 1.0250802173235200e+08 1.0250301388241307e+08 1.0249417014884371e+08 1.0248169787651239e+08 1.0246514219753298e+08 1.0244368990863489e+08 1.0241650241994154e+08 1.0238268925097750e+08 1.0234116689878801e+08 1.0229063652662407e+08 1.0222958577688107e+08 1.0215624605265692e+08 1.0206853184399380e+08 1.0196400131173173e+08 1.0183974319608623e+08 1.0169173729890010e+08 1.0151307236411124e+08 1.0129624515593137e+08 1.0103747952503362e+08 1.0073250724179634e+08 1.0037462172681145e+08 9.9955620349858880e+07 9.9466142094596192e+07 9.8895672643207192e+07 9.8232512931978121e+07 9.7463788204836592e+07 9.6575522047051117e+07 9.5552807407465622e+07 9.4380085549438447e+07 9.3041595451281175e+07 9.1522008857896522e+07 8.9807306065189004e+07 8.7885879471652687e+07 8.5582106402298287e+07 8.3027938098866194e+07 8.0230053148590207e+07 7.7206727883637488e+07 7.3989350969794437e+07 7.0622771441879034e+07 6.7163993258536831e+07 6.3678944185843810e+07 6.0237519560654469e+07 5.6907164566220112e+07 5.3746651918881901e+07 5.0802176392861009e+07 4.8104843479626738e+07 4.5667355402601272e+07 4.3488082249555700e+07 4.1555454641422637e+07 3.9850428810391292e+07 3.8351034554132946e+07 3.7034333743595526e+07 3.5879745190795012e+07 3.4867510011755086e+07 3.3981735566102631e+07 3.3207252287491549e+07 3.2533017928522624e+07 3.1947890400319140e+07 3.1442517699853536e+07 3.1009642369902253e+07 3.0641558337209098e+07 3.0330836800986785e+07 3.0072057824395459e+07 2.9858459220836293e+07 2.9685144947672531e+07 2.9546468025845192e+07 2.9437582283631694e+07 2.9351899876896694e+07 2.9282997203953687e+07 2.9226104745030761e+07 2.9176683769874249e+07 2.9130258549750861e+07 2.9097474160682313e+07 2.9064392894874871e+07 2.9030647781868845e+07 2.8995306613880362e+07 2.8958849602970321e+07 2.8920228117597196e+07 2.8880741139325231e+07 2.8836865940419242e+07 2.8789909981978156e+07 2.8739009184918307e+07 2.8683488809748866e+07 2.8622528936139867e+07 2.8555205904778644e+07 2.8480192813772999e+07 2.8397651762526434e+07 2.8304450092062276e+07 2.8199954548098002e+07 2.8082648890530035e+07 2.7950901406454895e+07 2.7803029380691614e+07 2.7637344984228179e+07 2.7451981702436965e+07 2.7247202108506244e+07 2.7019407607888378e+07 2.6769387426951889e+07 2.6497719945847854e+07 2.6206536030594703e+07 2.5899461203508351e+07 2.5583396242735442e+07 2.5268610078388683e+07 2.4971932022549696e+07 2.4714491985044889e+07 2.4529416060206324e+07 2.4462839216073710e+07 2.4581812249850702e+07 2.4983905454503931e+07 2.5816975128515564e+07 2.7315081523421746e+07 2.9872637784072667e+07 5.0450436652631601e+06 +1.1243947982661201e+01 1.0235389502674265e+08 1.0234363200008209e+08 1.0232618796400349e+08 1.0230284364455566e+08 1.0227841230398780e+08 1.0226073733078358e+08 1.0225345960650249e+08 1.0225053397532308e+08 1.0224552530379526e+08 1.0223668747570732e+08 1.0222422670551752e+08 1.0220768866354057e+08 1.0218626147623007e+08 1.0215910782130948e+08 1.0212533849304830e+08 1.0208387158858722e+08 1.0203341018577613e+08 1.0197244410998073e+08 1.0189920732629181e+08 1.0181161736957316e+08 1.0170723599214911e+08 1.0158315627747740e+08 1.0143536426579808e+08 1.0125695946267177e+08 1.0104044919861813e+08 1.0078206261278257e+08 1.0047753896916077e+08 1.0012018287159610e+08 9.9701805224132538e+07 9.9213060769256055e+07 9.8643453392410398e+07 9.7981304972284526e+07 9.7213764725389391e+07 9.6326883498296231e+07 9.5305784965838864e+07 9.4134944671169132e+07 9.2798639279355913e+07 9.1281581194732279e+07 8.9569793431683898e+07 8.7651711698872566e+07 8.5352059108788952e+07 8.2802600616479650e+07 8.0010047389864415e+07 7.6992688580218688e+07 7.3781898174575970e+07 7.0422476104608268e+07 6.6971338521548577e+07 6.3494287049581192e+07 6.0061058837246343e+07 5.6738922317155674e+07 5.3586472207377553e+07 5.0649738652608156e+07 4.7959690268640667e+07 4.5528939132571653e+07 4.3355807335348189e+07 4.1428712333952054e+07 3.9728628143236607e+07 3.8233620381795801e+07 3.6920798234508656e+07 3.5769627422583587e+07 3.4760398881582372e+07 3.3877261446160853e+07 3.3105087510548316e+07 3.2432865485148307e+07 3.1849485514644876e+07 3.1345622952518359e+07 3.0914041538009461e+07 3.0547058272794947e+07 3.0237266635194756e+07 2.9979262795264129e+07 2.9766305052207973e+07 2.9593511777664993e+07 2.9455252878595877e+07 2.9346696438343525e+07 2.9261274218041752e+07 2.9192581853444882e+07 2.9135863801512305e+07 2.9086594807167277e+07 2.9040312700164940e+07 2.9007629487424824e+07 2.8974650350334991e+07 2.8941009431041706e+07 2.8905777390626013e+07 2.8869432954519492e+07 2.8830930756656855e+07 2.8791565623478826e+07 2.8747825905200910e+07 2.8701014939776782e+07 2.8650271316154752e+07 2.8594922378210839e+07 2.8534150737317614e+07 2.8467035586075932e+07 2.8392254148252368e+07 2.8309967881194770e+07 2.8217053996393170e+07 2.8112881110158384e+07 2.7995937664096184e+07 2.7864596983569700e+07 2.7717181549151108e+07 2.7552008743387561e+07 2.7367217842412300e+07 2.7163070472525042e+07 2.6935979341044206e+07 2.6686731155822113e+07 2.6415902511171412e+07 2.6125617693666767e+07 2.5819491031031366e+07 2.5504401993816350e+07 2.5190587829897579e+07 2.4894825762177456e+07 2.4638180632143620e+07 2.4453676175027847e+07 2.4387304931646522e+07 2.4505910616702139e+07 2.4906762265433706e+07 2.5737259650866970e+07 2.7230740350501843e+07 2.9780399501282312e+07 5.0267005425068745e+06 +1.1248916305435460e+01 1.0209670137766744e+08 1.0208646307721062e+08 1.0206906185200253e+08 1.0204577397816841e+08 1.0202140009768146e+08 1.0200376312081987e+08 1.0199649485456549e+08 1.0199356554795328e+08 1.0198855609765016e+08 1.0197972421391439e+08 1.0196727498447219e+08 1.0195075461841691e+08 1.0192935257177129e+08 1.0190223278984307e+08 1.0186850734198530e+08 1.0182709592593037e+08 1.0177670353431556e+08 1.0171582217629656e+08 1.0164268837956446e+08 1.0155522272475533e+08 1.0145099055665976e+08 1.0132708930234051e+08 1.0117951124065889e+08 1.0100136663798550e+08 1.0078517339642644e+08 1.0052716594720912e+08 1.0022309104401807e+08 9.9866264470950916e+07 9.9448510663323194e+07 9.8960500118225843e+07 9.8391754917553350e+07 9.7730617872088343e+07 9.6964262156061262e+07 9.6078765855798453e+07 9.5059283343056902e+07 9.3890324400863498e+07 9.2556203327559546e+07 9.1041673118000418e+07 8.9332799417209610e+07 8.7418061134504393e+07 8.5122526863603294e+07 8.2577775169184342e+07 7.9790549589047089e+07 7.6779151876542374e+07 7.3574941138447583e+07 7.0222668047780454e+07 6.6779160872989416e+07 6.3310095131578229e+07 5.9885049949670427e+07 5.6571117301394410e+07 5.3426714298938647e+07 5.0497706914491504e+07 4.7814927356848627e+07 4.5390897955368683e+07 4.3223893116351336e+07 4.1302317349905178e+07 3.9607162566122547e+07 3.8116530238769569e+07 3.6807576837929271e+07 3.5659814939632326e+07 3.4653585213381439e+07 3.3773077890763722e+07 3.3003207234442465e+07 3.2332992245128311e+07 3.1751355222827330e+07 3.1248998809552252e+07 3.0818707888353497e+07 3.0452822475574154e+07 3.0143958269865792e+07 2.9886727506549641e+07 2.9674408915344380e+07 2.9502135245330926e+07 2.9364293244928509e+07 2.9256065215932336e+07 2.9170902473291654e+07 2.9102419839058649e+07 2.9045875711286984e+07 2.8996758274728678e+07 2.8950618880922128e+07 2.8918036561279844e+07 2.8885159266806211e+07 2.8851622249262150e+07 2.8816499030651033e+07 2.8780266853883043e+07 2.8741883609103695e+07 2.8702639979984280e+07 2.8659035362687793e+07 2.8612368983960122e+07 2.8561782093333345e+07 2.8506604112218533e+07 2.8446020176558789e+07 2.8379112322953068e+07 2.8304561889047462e+07 2.8222529692628220e+07 2.8129902787077196e+07 2.8026051654447421e+07 2.7909469404948987e+07 2.7778534388064146e+07 2.7631574265589200e+07 2.7466911616997350e+07 2.7282691492857870e+07 2.7079174575888500e+07 2.6852784842680886e+07 2.6604306489985958e+07 2.6334314331304714e+07 2.6044926092201959e+07 2.5739744937222678e+07 2.5425629088984020e+07 2.5112784201773964e+07 2.4817935555873878e+07 2.4562083105929326e+07 2.4378148515228741e+07 2.4311982296392839e+07 2.4430221661970943e+07 2.4829835233703915e+07 2.5657767538211752e+07 2.7146635503766842e+07 2.9688419673086114e+07 5.0084211809552182e+06 +1.1253884628209718e+01 1.0184002593244536e+08 1.0182981284075597e+08 1.0181245468867877e+08 1.0178922321127252e+08 1.0176490669656040e+08 1.0174730766409914e+08 1.0174004886130224e+08 1.0173711592114246e+08 1.0173210573488554e+08 1.0172327983414978e+08 1.0171084218371601e+08 1.0169433953235331e+08 1.0167296266512299e+08 1.0164587679486400e+08 1.0161219526671012e+08 1.0157083937907709e+08 1.0152051603984477e+08 1.0145971944242822e+08 1.0138668867826876e+08 1.0129934737438636e+08 1.0119526446856779e+08 1.0107154173270905e+08 1.0092417768349490e+08 1.0074629334779581e+08 1.0053041720464399e+08 1.0027278898037843e+08 9.9969162914678603e+07 9.9612865968769908e+07 9.9195736106303826e+07 9.8708459574505404e+07 9.8140576644764125e+07 9.7480451049685463e+07 9.6715279905986592e+07 9.5831168518382311e+07 9.4813301926144451e+07 9.3646224111896470e+07 9.2314286954358608e+07 9.0802283969483614e+07 8.9096323344977841e+07 8.7184927081697747e+07 8.4893508946753651e+07 8.2353461012457222e+07 7.9571558976734206e+07 7.6566116978415459e+07 7.3368479043866768e+07 7.0023346433168590e+07 6.6587459457630090e+07 6.3126367564675145e+07 5.9709492024471670e+07 5.6403748645510145e+07 5.3267377326138481e+07 5.0346080322600618e+07 4.7670553903755032e+07 4.5253231049297340e+07 4.3092338791261159e+07 4.1176268908921242e+07 3.9486031319418065e+07 3.7999763385241315e+07 3.6694668832620814e+07 3.5550307037656642e+07 3.4547068318254873e+07 3.3669184224727899e+07 3.2901610796229687e+07 3.2233397556305643e+07 3.1653498882201605e+07 3.1152644636466239e+07 3.0723640793557908e+07 3.0358850324180279e+07 3.0050911088812433e+07 2.9794451346311528e+07 2.9582770201970197e+07 2.9411014745420791e+07 2.9273588521990947e+07 2.9165688015488736e+07 2.9080784043292325e+07 2.9012510562759336e+07 2.8956139877403446e+07 2.8907173576646727e+07 2.8861176497024082e+07 2.8828694787882872e+07 2.8795919050609756e+07 2.8762485643578302e+07 2.8727470941665959e+07 2.8691350709539365e+07 2.8653086084240999e+07 2.8613963618900776e+07 2.8570493723824557e+07 2.8523971526486062e+07 2.8473540929441579e+07 2.8418533425887607e+07 2.8358136669234045e+07 2.8291435532134667e+07 2.8217115454430986e+07 2.8135336616759658e+07 2.8042995885963865e+07 2.7939465604964480e+07 2.7823243539464071e+07 2.7692713049023826e+07 2.7546206962118123e+07 2.7382053040579081e+07 2.7198402093092993e+07 2.6995513862018432e+07 2.6769823560833003e+07 2.6522112882595439e+07 2.6252954865002766e+07 2.5964460690923583e+07 2.5660222393058036e+07 2.5347077005673200e+07 2.5035198677908238e+07 2.4741260893535405e+07 2.4486198901570436e+07 2.4302832579779401e+07 2.4236870810584500e+07 2.4354744883601040e+07 2.4753123849027269e+07 2.5578498263222609e+07 2.7062766425292343e+07 2.9596697689281110e+07 4.9902053726800578e+06 +1.1258852950983977e+01 1.0158386937794183e+08 1.0157368137562361e+08 1.0155636591797410e+08 1.0153319083900303e+08 1.0150893156914395e+08 1.0149137043031830e+08 1.0148412109618133e+08 1.0148118456415369e+08 1.0147617368438366e+08 1.0146735380511634e+08 1.0145492777192183e+08 1.0143844287346549e+08 1.0141709122404946e+08 1.0139003930396372e+08 1.0135640173414266e+08 1.0131510141443035e+08 1.0126484716794081e+08 1.0120413537345476e+08 1.0113120768644474e+08 1.0104399078114182e+08 1.0094005718943568e+08 1.0081651302842405e+08 1.0066936305251041e+08 1.0049173904818033e+08 1.0027618007654960e+08 1.0001893116234139e+08 9.9715754027633250e+07 9.9359986807222709e+07 9.8943480990225300e+07 9.8456938569449380e+07 9.7889917998686522e+07 9.7230803921822861e+07 9.6466817382652923e+07 9.5584090883386090e+07 9.4567840100491360e+07 9.3402643176405177e+07 9.2072889516849145e+07 9.0563413089751631e+07 8.8860364536954671e+07 8.6952308842435896e+07 8.4665004637179345e+07 8.2129657401078269e+07 7.9353074782703266e+07 7.6353583091149092e+07 7.3162511073013961e+07 6.9824510422275096e+07 6.6396233420250304e+07 6.2943103481867574e+07 5.9534384188738853e+07 5.6236815476681225e+07 5.3108460422263183e+07 5.0194858021549307e+07 4.7526569069917440e+07 4.5115937593482994e+07 4.2961143559688583e+07 4.1050566231643975e+07 3.9365233644592911e+07 3.7883319082494825e+07 3.6582073498280078e+07 3.5441103013339102e+07 3.4440847508224815e+07 3.3565579773831703e+07 3.2800297533944324e+07 3.2134080767517645e+07 3.1555915850972656e+07 3.1056559799704608e+07 3.0628839627140071e+07 3.0265141198193375e+07 2.9958124476728324e+07 2.9702433703624334e+07 2.9491388304734480e+07 2.9320149673502132e+07 2.9183138107816815e+07 2.9075564237005506e+07 2.8990918329608392e+07 2.8922853427431658e+07 2.8866655703854430e+07 2.8817840117823631e+07 2.8771984954363830e+07 2.8739603573794883e+07 2.8706929109013468e+07 2.8673599021927319e+07 2.8638692532354996e+07 2.8602683930872623e+07 2.8564537592237074e+07 2.8525535951236129e+07 2.8482200400500540e+07 2.8435821980148934e+07 2.8385547238371618e+07 2.8330709734249566e+07 2.8270499631631974e+07 2.8204004631253164e+07 2.8129914263580732e+07 2.8048388074459102e+07 2.7956332715823397e+07 2.7853122386566345e+07 2.7737259494899023e+07 2.7607132396390755e+07 2.7461079071674418e+07 2.7297432450440992e+07 2.7114349083183035e+07 2.6912087775219154e+07 2.6687094944492646e+07 2.6440149787750430e+07 2.6171823571836792e+07 2.5884220955369264e+07 2.5580922870340966e+07 2.5268745222112607e+07 2.4957830742939461e+07 2.4664801265901178e+07 2.4410527515050609e+07 2.4227727868401047e+07 2.4161969975372721e+07 2.4279479780222841e+07 2.4676627601821441e+07 2.5499451299376126e+07 2.6979132557997882e+07 2.9505232940607388e+07 4.9720529103665790e+06 +1.1263821273758236e+01 1.0132823078236383e+08 1.0131806812048241e+08 1.0130079511855376e+08 1.0127767635357992e+08 1.0125347418353115e+08 1.0123595088702209e+08 1.0122871102677004e+08 1.0122577094420986e+08 1.0122075941346832e+08 1.0121194559401952e+08 1.0119953121565565e+08 1.0118306410815063e+08 1.0116173771464285e+08 1.0113471978262791e+08 1.0110112620956327e+08 1.0105988149649481e+08 1.0100969638265026e+08 1.0094906943232714e+08 1.0087624486622277e+08 1.0078915240621300e+08 1.0068536817904095e+08 1.0056200264764754e+08 1.0041506680401199e+08 1.0023770319329707e+08 1.0002246146371023e+08 9.9765591941674203e+07 9.9462863827620670e+07 9.9107626426776439e+07 9.8691744750446022e+07 9.8205936532547772e+07 9.7639778401946381e+07 9.6981675903256819e+07 9.6218873992191285e+07 9.5337532346387893e+07 9.4322897250051633e+07 9.3159580965118200e+07 9.1832010370934442e+07 9.0325059817733809e+07 8.8624922314112365e+07 8.6720205717622921e+07 8.4437013212889418e+07 8.1906363588849977e+07 7.9135096236252785e+07 7.6141549419650152e+07 7.2957036407631099e+07 6.9626159176533431e+07 6.6205481905671492e+07 6.2760302016357057e+07 5.9359725569780454e+07 5.6070316922546819e+07 5.2949962721242137e+07 5.0044039156967506e+07 4.7382972016590498e+07 4.4979016768077344e+07 4.2830306622177131e+07 4.0925208539746262e+07 3.9244768784008645e+07 3.7767196592678674e+07 3.6469790115639776e+07 3.5332202164368466e+07 3.4334922096291579e+07 3.3462263864899021e+07 3.2699266786596328e+07 3.2035041228530359e+07 3.1458605488354903e+07 3.0960743666692045e+07 3.0534303763585556e+07 3.0171694478134334e+07 2.9865597819292236e+07 2.9610673968439031e+07 2.9400262617207579e+07 2.9229539426135588e+07 2.9092941401346959e+07 2.8985693281366978e+07 2.8901304734718539e+07 2.8833447836842600e+07 2.8777422595517788e+07 2.8728757304179847e+07 2.8683043659766648e+07 2.8650762326527480e+07 2.8618188850154623e+07 2.8584961793114658e+07 2.8550163212242205e+07 2.8514265928195443e+07 2.8476237544174891e+07 2.8437356388855033e+07 2.8394154805523373e+07 2.8347919758718118e+07 2.8297800434871353e+07 2.8243132453169450e+07 2.8183108480884667e+07 2.8116819038833953e+07 2.8042957736528650e+07 2.7961683487427860e+07 2.7869912700224429e+07 2.7767021425004620e+07 2.7651516699416414e+07 2.7521791860994998e+07 2.7376190028103326e+07 2.7213049283808641e+07 2.7030531904176552e+07 2.6828895760646626e+07 2.6604598443428494e+07 2.6358416660286702e+07 2.6090919912247077e+07 2.5804206351875030e+07 2.5501845841660805e+07 2.5190633217353906e+07 2.4880679882309850e+07 2.4588556164437037e+07 2.4335068443055969e+07 2.4152833881616723e+07 2.4087279292544175e+07 2.4204425851274651e+07 2.4600345983339462e+07 2.5420626120939504e+07 2.6895733345638901e+07 2.9414024818789877e+07 4.9539635873117922e+06 +1.1268789596532494e+01 1.0107310975700113e+08 1.0106297242519502e+08 1.0104574184523542e+08 1.0102267922325331e+08 1.0099853400618969e+08 1.0098104849999541e+08 1.0097381811893958e+08 1.0097087452696255e+08 1.0096586238752718e+08 1.0095705466586189e+08 1.0094465197999932e+08 1.0092820270110673e+08 1.0090690160117653e+08 1.0087991769477865e+08 1.0084636815618162e+08 1.0080517908793955e+08 1.0075506314593394e+08 1.0069452108045219e+08 1.0062179967779483e+08 1.0053483170877162e+08 1.0043119689522164e+08 1.0030801004688230e+08 1.0016128839263561e+08 9.9984185235505223e+07 9.9769260815926701e+07 9.9512770765013263e+07 9.9210491757698908e+07 9.8855784266157255e+07 9.8440526820815727e+07 9.7955452891666338e+07 9.7390157275817558e+07 9.6733066407459110e+07 9.5971449139045984e+07 9.5091492301583141e+07 9.4078472757386267e+07 9.2917036847272441e+07 9.1591648870833755e+07 9.0087223491338626e+07 8.8389995996013492e+07 8.6488617007177398e+07 8.4209533950973853e+07 8.1683578828901440e+07 7.8917622565899983e+07 7.5930015168104216e+07 7.2752054229298368e+07 6.9428291857232884e+07 6.6015204058831647e+07 6.2577962301632442e+07 5.9185515295413174e+07 5.5904252111330353e+07 5.2791883357763492e+07 4.9893622875158861e+07 4.7239761906042285e+07 4.4842467754044876e+07 4.2699827180274412e+07 4.0800195055845574e+07 3.9124635981075883e+07 3.7651395179051548e+07 3.6357817966407001e+07 3.5223603789365590e+07 3.4229291396511719e+07 3.3359235825635441e+07 3.2598517894153234e+07 3.1936278290032275e+07 3.1361567154520243e+07 3.0865195605781320e+07 3.0440032578284539e+07 3.0078509545443084e+07 2.9773330503051430e+07 2.9519171531640563e+07 2.9309392533871055e+07 2.9139183400786139e+07 2.9002997802486721e+07 2.8896074550416734e+07 2.8811942662004646e+07 2.8744293195705310e+07 2.8688439958209302e+07 2.8639924542486414e+07 2.8594352020955317e+07 2.8562170454439931e+07 2.8529697683072675e+07 2.8496573366896063e+07 2.8461882391845934e+07 2.8426096112704910e+07 2.8388185352042589e+07 2.8349424344566081e+07 2.8306356352567852e+07 2.8260264276836883e+07 2.8210299934647061e+07 2.8155800999485023e+07 2.8095962635019485e+07 2.8029878174264763e+07 2.7956245294189122e+07 2.7875222278296486e+07 2.7783735263716493e+07 2.7681162146943919e+07 2.7566014582020886e+07 2.7436690874522038e+07 2.7291539266109075e+07 2.7128902978715308e+07 2.6946949997861192e+07 2.6745937264310028e+07 2.6522333508280039e+07 2.6276912955967695e+07 2.6010243347437687e+07 2.5724416347592704e+07 2.5422990780431978e+07 2.5112740471220385e+07 2.4803745582264714e+07 2.4512525081394870e+07 2.4259821183124840e+07 2.4078150120643213e+07 2.4012798264761925e+07 2.4129582596963201e+07 2.4524278485616893e+07 2.5342022202983361e+07 2.6812568232856795e+07 2.9323072716420103e+07 4.9359371974230446e+06 +1.1273757919306753e+01 1.0081850528474423e+08 1.0080839338752423e+08 1.0079120551059130e+08 1.0076819889028747e+08 1.0074411050193942e+08 1.0072666273298401e+08 1.0071944183647968e+08 1.0071649477600405e+08 1.0071148207007965e+08 1.0070268048404758e+08 1.0069028952790406e+08 1.0067385811515462e+08 1.0065258234610786e+08 1.0062563250241837e+08 1.0059212703551523e+08 1.0055099364990377e+08 1.0050094691810779e+08 1.0044048977726570e+08 1.0036787157988468e+08 1.0028102814617878e+08 1.0017754279428095e+08 1.0005453468070522e+08 9.9908027271209031e+07 9.9731184625610277e+07 9.9516577581322551e+07 9.9260467077289939e+07 9.8958637259086683e+07 9.8604459762291774e+07 9.8189826633240312e+07 9.7705487073177531e+07 9.7141054039755031e+07 9.6484974846277893e+07 9.5724542225892231e+07 9.4845970141590267e+07 9.3834566003463417e+07 9.2675010190717325e+07 9.1351804369644448e+07 8.9849903447249100e+07 8.8155584901132211e+07 8.6257542009856790e+07 8.3982566127448559e+07 8.1461302373408720e+07 7.8700652999482185e+07 7.5718979540453121e+07 7.2547563719151855e+07 6.9230907625489518e+07 6.5825399024657704e+07 6.2396083471349284e+07 5.9011752493776791e+07 5.5738620171811439e+07 5.2634221467047356e+07 4.9743608323168606e+07 4.7096937901267558e+07 4.4706289733298860e+07 4.2569704436493546e+07 4.0675525003503300e+07 3.9004834480139904e+07 3.7535914105782971e+07 3.6246156333301328e+07 3.5115307188009508e+07 3.4123954723828450e+07 3.3256494984763142e+07 3.2498050197541371e+07 3.1837791303756874e+07 3.1264800210561857e+07 3.0769914986244690e+07 3.0346025447608333e+07 2.9985585782537282e+07 2.9681321915549688e+07 2.9427925785061911e+07 2.9218777450148694e+07 2.9049080995833963e+07 2.8913306712029532e+07 2.8806707446877260e+07 2.8722831515779823e+07 2.8655388909619428e+07 2.8599707198654111e+07 2.8551341240444116e+07 2.8505909446548458e+07 2.8473827366848174e+07 2.8441455017757855e+07 2.8408433153926857e+07 2.8373849482460134e+07 2.8338173896514770e+07 2.8300380428755153e+07 2.8261739232059572e+07 2.8218804456199184e+07 2.8172854950017463e+07 2.8123045154215571e+07 2.8068714790874999e+07 2.8009061512964778e+07 2.7943181457883894e+07 2.7869776358433042e+07 2.7789003870539740e+07 2.7697799831669934e+07 2.7595543979848124e+07 2.7480752572604068e+07 2.7351828869550772e+07 2.7207126221269216e+07 2.7044992974171616e+07 2.6863602806984823e+07 2.6663211733059157e+07 2.6440299590520274e+07 2.6195638131297577e+07 2.5929793339511182e+07 2.5644850410508312e+07 2.5344357160850268e+07 2.5035066464317445e+07 2.4727027329823509e+07 2.4436707509853430e+07 2.4184785233485863e+07 2.4003676087555278e+07 2.3938526395394869e+07 2.4054949518236939e+07 2.4448424601452280e+07 2.5263639021431163e+07 2.6729636665102385e+07 2.9232376027040090e+07 4.9179735352165243e+06 +1.1278726242081012e+01 1.0056441906909569e+08 1.0055433039179693e+08 1.0053718536979425e+08 1.0051423478318706e+08 1.0049020313281682e+08 1.0047279304766327e+08 1.0046558164170846e+08 1.0046263115325364e+08 1.0045761792283468e+08 1.0044882251020022e+08 1.0043644332078356e+08 1.0042002981110878e+08 1.0039877941004808e+08 1.0037186366572358e+08 1.0033840230744657e+08 1.0029732464148305e+08 1.0024734715765281e+08 1.0018697498051037e+08 1.0011446002919130e+08 1.0002774117428006e+08 9.9924405330447808e+07 9.9801576002031833e+07 9.9655282890687242e+07 9.9478700812356040e+07 9.9264411206091121e+07 9.9008680321757212e+07 9.8707299771396726e+07 9.8353652350601643e+07 9.7939643618048087e+07 9.7456038501552731e+07 9.6892468111632690e+07 9.6237400629834875e+07 9.5478152654129013e+07 9.4600965257576779e+07 9.3591176367758110e+07 9.2433500361902118e+07 9.1112476219197199e+07 8.9613099020731315e+07 8.7921688346751660e+07 8.6026980023334146e+07 8.3756109017475650e+07 8.1239533473850355e+07 7.8484186764155567e+07 7.5508441740031689e+07 7.2343564058107659e+07 6.9034005642373994e+07 6.5636065948161036e+07 6.2214664659470066e+07 5.8838436293520637e+07 5.5573420233311445e+07 5.2476976185109071e+07 4.9593994648910023e+07 4.6954499166136995e+07 4.4570481888745621e+07 4.2439937594244711e+07 4.0551197607300527e+07 3.8885363526569203e+07 3.7420752638099492e+07 3.6134804499984838e+07 3.5007311660948463e+07 3.4018911394274101e+07 3.3154040672026768e+07 3.2397863038681503e+07 3.1739579622341115e+07 3.1168304018549670e+07 3.0674901178376842e+07 3.0252281748844694e+07 2.9892922572700989e+07 2.9589571445253208e+07 2.9336936121458147e+07 2.9128416762393344e+07 2.8959231610585801e+07 2.8823867531694509e+07 2.8717591374413639e+07 2.8633970701285649e+07 2.8566734385121062e+07 2.8511223724458646e+07 2.8463006806668580e+07 2.8417715346076451e+07 2.8385732473919977e+07 2.8353460265064087e+07 2.8320540565766934e+07 2.8286063896435503e+07 2.8250498692616694e+07 2.8212822188097455e+07 2.8174300465904206e+07 2.8131498531899538e+07 2.8085691194721565e+07 2.8036035511102121e+07 2.7981873245928269e+07 2.7922404534592353e+07 2.7856728310855120e+07 2.7783550351935357e+07 2.7703027688579105e+07 2.7612105830383450e+07 2.7510166352145493e+07 2.7395730101933990e+07 2.7267205279531550e+07 2.7122950330029339e+07 2.6961318709916864e+07 2.6780489775084734e+07 2.6580718614589240e+07 2.6358496142497730e+07 2.6114591643712975e+07 2.5849569351359297e+07 2.5565508009427682e+07 2.5265944457966696e+07 2.4957610678105224e+07 2.4650524612785719e+07 2.4361102943622693e+07 2.4109960093209807e+07 2.3929411285123426e+07 2.3864463188568953e+07 2.3980526116832461e+07 2.4372783824427500e+07 2.5185476052956052e+07 2.6646938088742364e+07 2.9141934145195648e+07 4.9000723958157599e+06 +1.1283694564855271e+01 1.0031084736370577e+08 1.0030078393478352e+08 1.0028368089066561e+08 1.0026078633488210e+08 1.0023681135866402e+08 1.0021943890385269e+08 1.0021223699483216e+08 1.0020928311880292e+08 1.0020426940584663e+08 1.0019548020404549e+08 1.0018311281801333e+08 1.0016671724819367e+08 1.0014549225179988e+08 1.0011861064322506e+08 1.0008519342976502e+08 1.0004417152009532e+08 9.9994263321353376e+07 9.9933976146136686e+07 9.9861564480797127e+07 9.9774970246905640e+07 9.9671783956402883e+07 9.9549133461891204e+07 9.9403054700584754e+07 9.9226733243099377e+07 9.9012761134965241e+07 9.8757409939956248e+07 9.8456478732496083e+07 9.8103361464663774e+07 9.7689977204068288e+07 9.7207106599798292e+07 9.6644398907901123e+07 9.5990343166773751e+07 9.5232279823633298e+07 9.4356477039191484e+07 9.3348303228467718e+07 9.2192506725859478e+07 9.0873663769730628e+07 8.9376809545863122e+07 8.7688305649091944e+07 8.5796930344274774e+07 8.3530161895264149e+07 8.1018271380877361e+07 7.8268223086607605e+07 7.5298400969668284e+07 7.2140054426679909e+07 6.8837585068726391e+07 6.5447203974352248e+07 6.2033705000141926e+07 5.8665565823583238e+07 5.5408651425712362e+07 5.2320146648650587e+07 4.9444781000996605e+07 4.6812444865490571e+07 4.4435043404113844e+07 4.2310525857914492e+07 4.0427212092832305e+07 3.8766222366747849e+07 3.7305910042190067e+07 3.6023761751217201e+07 3.4899616509795874e+07 3.3914160724760570e+07 3.3051872218066812e+07 3.2297955760437410e+07 3.1641642599395745e+07 3.1072077941510387e+07 3.0580153553343624e+07 3.0158800860231984e+07 2.9800519300212346e+07 2.9498078481488667e+07 2.9246201934506260e+07 2.9038309867907800e+07 2.8869634645264965e+07 2.8734679664131861e+07 2.8628725737630188e+07 2.8545359624663647e+07 2.8478329029664349e+07 2.8422988944211122e+07 2.8374920650677286e+07 2.8329769130033445e+07 2.8297885186797105e+07 2.8265712836803444e+07 2.8232895014873646e+07 2.8198525046891384e+07 2.8163069914980087e+07 2.8125510044768631e+07 2.8087107461644083e+07 2.8044437996077478e+07 2.7998772428258702e+07 2.7949270423632998e+07 2.7895275784169301e+07 2.7835991120584030e+07 2.7770518155269306e+07 2.7697566698330294e+07 2.7617293157639571e+07 2.7526652686996926e+07 2.7425028693113275e+07 2.7310946601684947e+07 2.7182819538758118e+07 2.7039011029682957e+07 2.6877879626630686e+07 2.6697610346558847e+07 2.6498457357474919e+07 2.6276922617350146e+07 2.6033772951444093e+07 2.5769570846716911e+07 2.5486388613972552e+07 2.5187752147615094e+07 2.4880372594840884e+07 2.4574236919784058e+07 2.4285710877290335e+07 2.4035345262112740e+07 2.3855355216901235e+07 2.3790608149233483e+07 2.3906311895282581e+07 2.4297355648908049e+07 2.5107532775077954e+07 2.6564471950963136e+07 2.9051746466273416e+07 4.8822335749501614e+06 +1.1288662887629529e+01 1.0005779107241705e+08 1.0004775261208740e+08 1.0003069178684649e+08 1.0000785299652424e+08 9.9983934637065709e+07 9.9966599759643644e+07 9.9959407354484931e+07 9.9956450130985603e+07 9.9951435977314696e+07 9.9942653023570299e+07 9.9930297477408379e+07 9.9913919884006679e+07 9.9892720328502893e+07 9.9865872891526371e+07 9.9832499858833358e+07 9.9791533741333365e+07 9.9741694864167452e+07 9.9681492728166491e+07 9.9609184387936652e+07 9.9522714816199630e+07 9.9419678123064667e+07 9.9297206509686247e+07 9.9151342148303494e+07 9.8975281363207176e+07 9.8761626810759634e+07 9.8506655371585622e+07 9.8206173578585580e+07 9.7853586536461070e+07 9.7440826818242073e+07 9.6958690789177388e+07 9.6396845843132004e+07 9.5743801863984853e+07 9.4986923132470876e+07 9.4112504874540582e+07 9.3105945962271377e+07 9.1952028646320075e+07 9.0635366370466053e+07 8.9141034355635300e+07 8.7455436123167902e+07 8.5567392268354133e+07 8.3304724034222618e+07 8.0797515344378710e+07 7.8052761192715690e+07 7.5088856431764588e+07 7.1937034005249307e+07 6.8641645065402046e+07 6.5258812248487882e+07 6.1853203627811536e+07 5.8493140213408664e+07 5.5244312879465371e+07 5.2163731994992062e+07 4.9295966528934196e+07 4.6670774164975099e+07 4.4299973464103378e+07 4.2181468432946250e+07 4.0303567686642520e+07 3.8647410248018511e+07 3.7191385585281238e+07 3.5913027372623086e+07 3.4792221037189342e+07 3.3809702033227235e+07 3.2949988954555895e+07 3.2198327706661500e+07 3.1543979589531437e+07 3.0976121343389489e+07 3.0485671483306743e+07 3.0065582160985418e+07 2.9708375350299586e+07 2.9406842414646782e+07 2.9155722618841231e+07 2.8948456164878286e+07 2.8780289501061484e+07 2.8645742512908533e+07 2.8540109941991761e+07 2.8456997692985982e+07 2.8390172251588542e+07 2.8335002267348099e+07 2.8287082182897545e+07 2.8242070209751863e+07 2.8210284917519763e+07 2.8178212145662207e+07 2.8145495914641101e+07 2.8111232347974088e+07 2.8075886978405003e+07 2.8038443414390378e+07 2.8000159635660276e+07 2.7957622266024306e+07 2.7912098068918828e+07 2.7862749311131470e+07 2.7808921825958256e+07 2.7749820692584023e+07 2.7684550414152853e+07 2.7611824822127458e+07 2.7531799703957908e+07 2.7441439829575211e+07 2.7340130432909679e+07 2.7226401504386343e+07 2.7098671082466315e+07 2.6955307758453816e+07 2.6794675165871471e+07 2.6614963966732118e+07 2.6416427411134828e+07 2.6195578469117813e+07 2.5953181513520788e+07 2.5689797290120699e+07 2.5407491694588430e+07 2.5109779706431612e+07 2.4803351697522223e+07 2.4498163740203153e+07 2.4210530806276705e+07 2.3960940240803223e+07 2.3781507387248073e+07 2.3716960783054586e+07 2.3832306356828105e+07 2.4222139570063572e+07 2.5029808666102629e+07 2.6482237699801289e+07 2.8961812386623695e+07 4.8644568689534971e+06 +1.1293631210403788e+01 9.9805249236842930e+07 9.9795236562512949e+07 9.9778217632408142e+07 9.9755434242090270e+07 9.9731572424394190e+07 9.9714275071124956e+07 9.9707092177467376e+07 9.9704131646473646e+07 9.9699117093675792e+07 9.9690340425081089e+07 9.9677996755001187e+07 9.9661637174046740e+07 9.9640463095491394e+07 9.9613649865614653e+07 9.9580321049008653e+07 9.9539410759137437e+07 9.9489641239318624e+07 9.9429524179195583e+07 9.9357319202077761e+07 9.9270974332642958e+07 9.9168087279555082e+07 9.9045794593132332e+07 9.8900144679765463e+07 9.8724344616384268e+07 9.8511007674618557e+07 9.8256416054887548e+07 9.7956383744230062e+07 9.7604326996309102e+07 9.7192191886087999e+07 9.6710790489503920e+07 9.6149808330414787e+07 9.5497776127177000e+07 9.4742081977436066e+07 9.3869048150339186e+07 9.2864103944388658e+07 9.1712065485580221e+07 9.0397583369124725e+07 8.8905772781542838e+07 8.7223079082801700e+07 8.5338365090188637e+07 8.3079794706711978e+07 8.0577264613432944e+07 7.7837800307994664e+07 7.4879807328357816e+07 7.1734501973793209e+07 6.8446184793102160e+07 6.5070889915747531e+07 6.1673159677176587e+07 5.8321158592856698e+07 5.5080403725612462e+07 5.2007731362217180e+07 4.9147550382999070e+07 4.6529486231071979e+07 4.4165271254364230e+07 4.2052764525614418e+07 4.0180263616224244e+07 3.8528926418805405e+07 3.7077178535556942e+07 3.5802600650944725e+07 3.4685124546761416e+07 3.3705534638671570e+07 3.2848390214134775e+07 3.2098978222191211e+07 3.1446589948257539e+07 3.0880433589175295e+07 3.0391454341376908e+07 2.9972625031226270e+07 2.9616490109099600e+07 2.9315862635973539e+07 2.9065497570000894e+07 2.8858855052439861e+07 2.8691195580041796e+07 2.8557055482522827e+07 2.8451743393979710e+07 2.8368884314214304e+07 2.8302263460207392e+07 2.8247263104267564e+07 2.8199490814733341e+07 2.8154617997535381e+07 2.8122931079028238e+07 2.8090957605228428e+07 2.8058342679356799e+07 2.8024185214651495e+07 2.7988949298643436e+07 2.7951621713475149e+07 2.7913456405272234e+07 2.7871050759943578e+07 2.7825667535800930e+07 2.7776471593704693e+07 2.7722810792611282e+07 2.7663892673160490e+07 2.7598824511354633e+07 2.7526324148700211e+07 2.7446546754549704e+07 2.7356466687054507e+07 2.7255471002575740e+07 2.7142094243445296e+07 2.7014759346700612e+07 2.6871839955374878e+07 2.6711704770013951e+07 2.6532550081714548e+07 2.6334628225850359e+07 2.6114463152678095e+07 2.5872816789904289e+07 2.5610248147001695e+07 2.5328816722554795e+07 2.5032026611897558e+07 2.4726547470013797e+07 2.4422304564240385e+07 2.4135562226741225e+07 2.3886744530619767e+07 2.3707867301250305e+07 2.3643520596471809e+07 2.3758509005541507e+07 2.4147135083800487e+07 2.4952303205182489e+07 2.6400234784150958e+07 2.8872131303581666e+07 4.8467420747624384e+06 +1.1298599533178047e+01 9.9553222204351291e+07 9.9543234542150810e+07 9.9526257697779939e+07 9.9503529558086947e+07 9.9479724176436990e+07 9.9462464292704195e+07 9.9455290918842688e+07 9.9452327120117024e+07 9.9447312209760264e+07 9.9438541863135889e+07 9.9426210104943290e+07 9.9409868572452337e+07 9.9388720006500989e+07 9.9361941018695936e+07 9.9328656453029916e+07 9.9287802025705472e+07 9.9238101898251310e+07 9.9178069949973404e+07 9.9105968373116806e+07 9.9019748244964585e+07 9.8917010873323187e+07 9.8794897158039227e+07 9.8649461739266410e+07 9.8473922444801778e+07 9.8260903166108802e+07 9.8006691426228330e+07 9.7707108662234157e+07 9.7355582272869110e+07 9.6944071831239969e+07 9.6463405118817165e+07 9.5903285781426132e+07 9.5252265360183343e+07 9.4497755753811151e+07 9.3626106251808926e+07 9.2622776548611879e+07 9.1472616604532361e+07 9.0160314112360865e+07 8.8671024154223859e+07 8.6991233840869576e+07 8.5109848103296533e+07 8.2855373184210107e+07 8.0357518436443955e+07 7.7623339656987533e+07 7.4671252860952780e+07 7.1532457512094975e+07 6.8251203412446111e+07 6.4883436121463738e+07 6.1493572283215046e+07 5.8149620092150278e+07 5.4916923095787063e+07 5.1852143889068685e+07 4.8999531714241542e+07 4.6388580231235966e+07 4.4030935961469084e+07 4.1924413343239278e+07 4.0057299110147797e+07 3.8410770128429823e+07 3.6963288162281156e+07 3.5692480873889454e+07 3.4578326343120664e+07 3.3601657860975154e+07 3.2747075330435295e+07 3.1999906652800441e+07 3.1349473032127146e+07 3.0785014044741444e+07 3.0297501501624778e+07 2.9879928852043103e+07 2.9524862963695921e+07 2.9225138537641186e+07 2.8975526184471868e+07 2.8769505930686545e+07 2.8602352285236783e+07 2.8468617978398755e+07 2.8363625500900611e+07 2.8281018897297926e+07 2.8214602065700911e+07 2.8159770866260182e+07 2.8112145958413910e+07 2.8067411906592559e+07 2.8035823085150931e+07 2.8003948630052615e+07 2.7971434724217810e+07 2.7937383062859241e+07 2.7902256292333458e+07 2.7865044359485071e+07 2.7826997188721880e+07 2.7784722896931659e+07 2.7739480248994831e+07 2.7690436692510974e+07 2.7636942106334478e+07 2.7578206485681266e+07 2.7513339871664040e+07 2.7441064104389235e+07 2.7361533737386927e+07 2.7271732689296421e+07 2.7171049834078126e+07 2.7058024253173333e+07 2.6931083768440507e+07 2.6788607060359113e+07 2.6628967882350825e+07 2.6450368138517730e+07 2.6253059252716206e+07 2.6033576123733208e+07 2.5792678241326511e+07 2.5530922883549102e+07 2.5250363169950731e+07 2.4954492342291344e+07 2.4649959396938935e+07 2.4346658882887714e+07 2.4060804635657042e+07 2.3812757633744210e+07 2.3634434464802451e+07 2.3570287096707299e+07 2.3684919346242588e+07 2.4072341686875157e+07 2.4875015872234415e+07 2.6318462653785087e+07 2.8782702615355011e+07 4.8290889899150720e+06 +1.1303567855952306e+01 9.9301708732388631e+07 9.9291746174059749e+07 9.9274811251660734e+07 9.9252138423077092e+07 9.9228389348547593e+07 9.9211166877215758e+07 9.9204003031940490e+07 9.9201036004936606e+07 9.9196020778483972e+07 9.9187256790359288e+07 9.9174936979947224e+07 9.9158613531362087e+07 9.9137490513148203e+07 9.9110745802261010e+07 9.9077505521945521e+07 9.9036706991383672e+07 9.8987076290750608e+07 9.8927129489526331e+07 9.8855131349036336e+07 9.8769036000192642e+07 9.8666448350187808e+07 9.8544513648802057e+07 9.8399292769154325e+07 9.8224014288783208e+07 9.8011312723113731e+07 9.7757480920444533e+07 9.7458347763884455e+07 9.7107351793346852e+07 9.6696466076079935e+07 9.6216534093690634e+07 9.5657277606040925e+07 9.5007268965484038e+07 9.4253943855220497e+07 9.3383678562772572e+07 9.2381963147503838e+07 9.1233681362970695e+07 8.9923557945403203e+07 8.8436787802870959e+07 8.6759899709058806e+07 8.4881840600401610e+07 8.2631458737449810e+07 8.0138276061073005e+07 7.7409378464037135e+07 7.4463192230678648e+07 7.1330899799741149e+07 6.8056700084041953e+07 6.4696450011144824e+07 6.1314440581122681e+07 5.7978523842081994e+07 5.4753870122130439e+07 5.1696968715118006e+07 4.8851909674473181e+07 4.6248055333765484e+07 4.3896966772939242e+07 4.1796414094172910e+07 3.9934673397956550e+07 3.8292940627281137e+07 3.6849713735616058e+07 3.5582667330155328e+07 3.4471825731916085e+07 3.3498071021081313e+07 3.2646043638053678e+07 3.1901112345279053e+07 3.1252628198619716e+07 3.0689862076964527e+07 3.0203812339051314e+07 2.9787493005465277e+07 2.9433493302173939e+07 2.9134669512823071e+07 2.8885807859706786e+07 2.8680408200597432e+07 2.8513759020591501e+07 2.8380429406890467e+07 2.8275755671058904e+07 2.8193400852033611e+07 2.8127187479235042e+07 2.8072524965576023e+07 2.8025047027158584e+07 2.7980451351031184e+07 2.7948960350718357e+07 2.7917184635580916e+07 2.7884771465369161e+07 2.7850825309437037e+07 2.7815807377045788e+07 2.7778710770711921e+07 2.7740781405135091e+07 2.7698638097017083e+07 2.7653535629447050e+07 2.7604644029479619e+07 2.7551315190210007e+07 2.7492761554499384e+07 2.7428095920779418e+07 2.7356044116336036e+07 2.7276760081325099e+07 2.7187237266992863e+07 2.7086866360228315e+07 2.6974190968766559e+07 2.6847643785510384e+07 2.6705608514273178e+07 2.6546463947018899e+07 2.6368417585031234e+07 2.6171719943758167e+07 2.5952916838854183e+07 2.5712765329380892e+07 2.5451820966864023e+07 2.5172130509715572e+07 2.4877176376689207e+07 2.4573586963778995e+07 2.4271226187929716e+07 2.3986257530769438e+07 2.3738979053075004e+07 2.3561208384561080e+07 2.3497259791768294e+07 2.3611536884519473e+07 2.3997758876776539e+07 2.4797946148032174e+07 2.6236920759355869e+07 2.8693525721133810e+07 4.8114974125494082e+06 +1.1308536178726564e+01 9.9050708444057658e+07 9.9040770501937672e+07 9.9023877695043221e+07 9.9001260292785540e+07 9.8977567394783378e+07 9.8960382275846407e+07 9.8953227968330309e+07 9.8950257752562732e+07 9.8945242251085788e+07 9.8936484658074543e+07 9.8924176830599323e+07 9.8907871501301840e+07 9.8886774065843761e+07 9.8860063666159362e+07 9.8826867705049008e+07 9.8786125104952872e+07 9.8736563864989161e+07 9.8676702245011806e+07 9.8604807576314107e+07 9.8518837043568611e+07 9.8416399154120281e+07 9.8294643507900804e+07 9.8149637210309654e+07 9.7974619587139308e+07 9.7762235781817928e+07 9.7508783970773563e+07 9.7210100478793815e+07 9.6859634982983336e+07 9.6449374041098863e+07 9.5970176829155669e+07 9.5411783212828442e+07 9.4762786344018310e+07 9.4010645674043164e+07 9.3141764465581104e+07 9.2141663112134635e+07 9.0995259119224727e+07 8.9687314212151051e+07 8.8203063055575594e+07 8.6529075997931972e+07 8.4654341873009682e+07 8.2408050636153102e+07 7.9919536734131306e+07 7.7195915952613384e+07 7.4255624638229892e+07 7.1129828015831888e+07 6.7862673968324766e+07 6.4509930730308563e+07 6.1135763706516668e+07 5.7807868973836444e+07 5.4591243937511146e+07 5.1542204980487928e+07 4.8704683416503631e+07 4.6107910707839988e+07 4.3763362877199017e+07 4.1668765987637296e+07 3.9812385710162520e+07 3.8175437166750468e+07 3.6736454526832804e+07 3.5473159309458658e+07 3.4365622019735776e+07 3.3394773440937303e+07 3.2545294472604513e+07 3.1802594647396311e+07 3.1156054806176841e+07 3.0594977053655140e+07 3.0110386229638986e+07 2.9695316874500822e+07 2.9342380513451744e+07 2.9044454955610208e+07 2.8796341994035017e+07 2.8591561264116015e+07 2.8425415190994635e+07 2.8292489175291218e+07 2.8188133313642740e+07 2.8106029589210514e+07 2.8040019112813309e+07 2.7985524815332096e+07 2.7938193435066726e+07 2.7893735745892812e+07 2.7862342291390717e+07 2.7830665038163047e+07 2.7798352319818731e+07 2.7764511372102372e+07 2.7729601971273392e+07 2.7692620366458312e+07 2.7654808474525005e+07 2.7612795781124908e+07 2.7567833099029496e+07 2.7519093027515948e+07 2.7465929468255721e+07 2.7407557304832298e+07 2.7343092085269228e+07 2.7271263612674844e+07 2.7192225216100436e+07 2.7102979851779826e+07 2.7002920014729213e+07 2.6890593826263458e+07 2.6764438836632814e+07 2.6622843758739922e+07 2.6464192409022216e+07 2.6286697869981177e+07 2.6090609751792718e+07 2.5872484755469587e+07 2.5633077516530197e+07 2.5372941864819493e+07 2.5094118215570088e+07 2.4800078195009124e+07 2.4497429656783171e+07 2.4196005971931420e+07 2.3911920410630900e+07 2.3665408292327359e+07 2.3488188567925241e+07 2.3424438190412033e+07 2.3538361126775626e+07 2.3923386151803222e+07 2.4721093514134057e+07 2.6155608552295730e+07 2.8604600021064769e+07 4.7939671414019177e+06 +1.1313504501500823e+01 9.8800221678295553e+07 9.8790307938610658e+07 9.8773456656061575e+07 9.8750894604106382e+07 9.8727257767640069e+07 9.8710109938332200e+07 9.8702965178065479e+07 9.8699991812613249e+07 9.8694976077189878e+07 9.8686224915417805e+07 9.8673929106250346e+07 9.8657641931047767e+07 9.8636570113032952e+07 9.8609894058259338e+07 9.8576742449903846e+07 9.8536055813483551e+07 9.8486564067297235e+07 9.8426787662121013e+07 9.8354996499656782e+07 9.8269150818862572e+07 9.8166862727582708e+07 9.8045286176324457e+07 9.7900494501870632e+07 9.7725737776785567e+07 9.7513671776687890e+07 9.7260600008633286e+07 9.6962366234856158e+07 9.6612431265789703e+07 9.6202795145409942e+07 9.5724332738585502e+07 9.5166802008654878e+07 9.4518816895196110e+07 9.3767860601102680e+07 9.2900363341150939e+07 9.1901875812162071e+07 9.0757349230226472e+07 8.9451582255619347e+07 8.7969849239346907e+07 8.6298762017011136e+07 8.4427351211855531e+07 8.2185148149323210e+07 7.9701299701931909e+07 7.6982951345830947e+07 7.4048549283871979e+07 7.0929241339602306e+07 6.7669124225727707e+07 6.4323877424631163e+07 6.0957540795175530e+07 5.7637654618998766e+07 5.4429043675288424e+07 5.1387851826126374e+07 4.8557852093783930e+07 4.5968145523546629e+07 4.3630123463725246e+07 4.1541468233910449e+07 3.9690435278304785e+07 3.8058258999244742e+07 3.6623509808208950e+07 3.5363956102529518e+07 3.4259714514256306e+07 3.3291764443402059e+07 3.2444827170678053e+07 3.1704352907880530e+07 3.1059752214256704e+07 3.0500358343597014e+07 3.0017222550333731e+07 2.9603399843082208e+07 2.9251523987520412e+07 2.8954494260996059e+07 2.8707127986776184e+07 2.8502964524138782e+07 2.8337320202246621e+07 2.8204796691773061e+07 2.8100757838771317e+07 2.8018904520518158e+07 2.7953096379448533e+07 2.7898769829593696e+07 2.7851584597188592e+07 2.7807264507141568e+07 2.7775968323779698e+07 2.7744389255069606e+07 2.7712176705536488e+07 2.7678440669532374e+07 2.7643639494372513e+07 2.7606772566862099e+07 2.7569077817899048e+07 2.7527195371086590e+07 2.7482372080524590e+07 2.7433783110420391e+07 2.7380784365383964e+07 2.7322593162837438e+07 2.7258327792626776e+07 2.7186722022357948e+07 2.7107928572347272e+07 2.7018959876160268e+07 2.6919210232192174e+07 2.6807232262650814e+07 2.6681468361382201e+07 2.6540312236387111e+07 2.6382152714249209e+07 2.6205208442973204e+07 2.6009728130542610e+07 2.5792279331845060e+07 2.5553614266056273e+07 2.5294285046168834e+07 2.5016325762089532e+07 2.4723197278009385e+07 2.4421486963011637e+07 2.4120997728291057e+07 2.3837792774526637e+07 2.3592044856006745e+07 2.3415374523091059e+07 2.3351821802140567e+07 2.3465391580122132e+07 2.3849223011043478e+07 2.4644457452912465e+07 2.6074525484995641e+07 2.8515924916193519e+07 4.7764979758060519e+06 +1.1318472824275082e+01 9.8550246599274278e+07 9.8540357446626946e+07 9.8523547694762483e+07 9.8501040789480239e+07 9.8477459917099670e+07 9.8460349312879741e+07 9.8453214109319136e+07 9.8450237633204281e+07 9.8445221704753101e+07 9.8436477010256961e+07 9.8424193254210770e+07 9.8407924267831892e+07 9.8386878101397455e+07 9.8360236425169855e+07 9.8327129202435464e+07 9.8286498562368616e+07 9.8237076342490509e+07 9.8177385184803039e+07 9.8105697562120065e+07 9.8019976767996609e+07 9.7917838511159793e+07 9.7796441093304276e+07 9.7651864081411660e+07 9.7477368293323651e+07 9.7265620140745014e+07 9.7012928463972449e+07 9.6715144458565220e+07 9.6365740063884780e+07 9.5956728806315094e+07 9.5479001233878493e+07 9.4922333398980230e+07 9.4275360016967714e+07 9.3525588025646210e+07 9.2659474569074064e+07 9.1662600616117477e+07 9.0519951051773697e+07 8.9216361417178527e+07 8.7737145679962799e+07 8.6068957074853927e+07 8.4200867906528771e+07 8.1962750545021906e+07 7.9483564209871188e+07 7.6770483866023213e+07 7.3841965367489561e+07 7.0729138949722111e+07 6.7476050016720742e+07 6.4138289239967182e+07 6.0779770983240463e+07 5.7467879909677126e+07 5.4267268469418302e+07 5.1233908393655427e+07 4.8411414860669114e+07 4.5828758951844260e+07 4.3497247722786903e+07 4.1414520044201016e+07 3.9568821334940016e+07 3.7941405378157407e+07 3.6510878852958471e+07 3.5255057001131810e+07 3.4154102524088435e+07 3.3189043352412425e+07 3.2344641069837321e+07 3.1606386476437043e+07 3.0963719783240266e+07 3.0406005316594198e+07 2.9924320678987034e+07 2.9511741296081215e+07 2.9160923115233731e+07 2.8864786824982300e+07 2.8618165238172308e+07 2.8414617384443574e+07 2.8249473461111259e+07 2.8117351365508281e+07 2.8013628657540321e+07 2.7932025058516078e+07 2.7866418693013877e+07 2.7812259423384774e+07 2.7765219929455180e+07 2.7721037051634304e+07 2.7689837865427788e+07 2.7658356704510786e+07 2.7626244041367531e+07 2.7592612621307816e+07 2.7557919366680320e+07 2.7521166793018464e+07 2.7483588857094273e+07 2.7441836289654978e+07 2.7397151997603506e+07 2.7348713702902671e+07 2.7295879307405222e+07 2.7237868555540178e+07 2.7173802471226707e+07 2.7102418775302716e+07 2.7023869581614114e+07 2.6935176773527429e+07 2.6835736448128857e+07 2.6724105715764098e+07 2.6598731800279234e+07 2.6458013390610706e+07 2.6300344309474174e+07 2.6123948754468825e+07 2.5929074534580901e+07 2.5712300027109947e+07 2.5474375042058948e+07 2.5215849980433378e+07 2.4938752624690328e+07 2.4646533107189704e+07 2.4345758370336909e+07 2.4046200951190382e+07 2.3763874122603975e+07 2.3518888249361113e+07 2.3342765759048123e+07 2.3279410137291927e+07 2.3392627752490319e+07 2.3775268954367679e+07 2.4568037447597928e+07 2.5993671010662880e+07 2.8427499808550883e+07 4.7590897156907665e+06 +1.1323441147049341e+01 9.8300782913153842e+07 9.8290918133504644e+07 9.8274150218096331e+07 9.8251698287074164e+07 9.8228173289895758e+07 9.8211099846250817e+07 9.8203974208707243e+07 9.8200994660613775e+07 9.8195978579797909e+07 9.8187240388497248e+07 9.8174968720212981e+07 9.8158717957076624e+07 9.8137697476289481e+07 9.8111090211564749e+07 9.8078027406982571e+07 9.8037452795212090e+07 9.7988100133459076e+07 9.7928494255409807e+07 9.7856910205078900e+07 9.7771314331271902e+07 9.7669325944163069e+07 9.7548107696350306e+07 9.7403745384738341e+07 9.7229510570436642e+07 9.7018080305130631e+07 9.6765768765135303e+07 9.6468434574636161e+07 9.6119560798093691e+07 9.5711174439974770e+07 9.5234181725399777e+07 9.4678376787574574e+07 9.4032415105834901e+07 9.3283827335752413e+07 9.2419097527488366e+07 9.1423836890905112e+07 9.0283063938368738e+07 8.8981651037249506e+07 8.7504951702090561e+07 8.5839660478847072e+07 8.3974891245861739e+07 8.1740857090512648e+07 7.9266329502715006e+07 7.6558512735284254e+07 7.3635872088687897e+07 7.0529520024872944e+07 6.7283450501589850e+07 6.3953165322241917e+07 6.0602453407206446e+07 5.7298543978453599e+07 5.4105917454609402e+07 5.1080373825501740e+07 4.8265370872296959e+07 4.5689750164666675e+07 4.3364734845763877e+07 4.1287920630774349e+07 3.9447543113593698e+07 3.7824875557936825e+07 3.6398560935406931e+07 3.5146461297992714e+07 3.4048785358903594e+07 3.3086609492886741e+07 3.2244735508641370e+07 3.1508694703777187e+07 3.0867956874513824e+07 3.0311917343305957e+07 2.9831679994492777e+07 2.9420340619397745e+07 2.9070577288427006e+07 2.8775332044476144e+07 2.8529453149410505e+07 2.8326519249816302e+07 2.8161874375245884e+07 2.8030152606528569e+07 2.7926745181921214e+07 2.7845390616794918e+07 2.7779985468321409e+07 2.7725993012582228e+07 2.7679098848784681e+07 2.7635052797185872e+07 2.7603950334775057e+07 2.7572566805573031e+07 2.7540553747126132e+07 2.7507026647898089e+07 2.7472441009413492e+07 2.7435802466897376e+07 2.7398341014884468e+07 2.7356717960462309e+07 2.7312172274901520e+07 2.7263884230580945e+07 2.7211213721043240e+07 2.7153382910868518e+07 2.7089515550348312e+07 2.7018353302266303e+07 2.6940047676317386e+07 2.6851629978192203e+07 2.6752498098910566e+07 2.6641213624317832e+07 2.6516228594654933e+07 2.6375946665737372e+07 2.6218766642309535e+07 2.6042918255808413e+07 2.5848648419320036e+07 2.5632546301248997e+07 2.5395359309562586e+07 2.5137636138073925e+07 2.4861398279591843e+07 2.4570085164961200e+07 2.4270243367446054e+07 2.3971615135566793e+07 2.3690163955752421e+07 2.3445937978428867e+07 2.3270361785537712e+07 2.3207202706925094e+07 2.3320069152578704e+07 2.3701523482460417e+07 2.4491832982162680e+07 2.5913044583332472e+07 2.8339324101053379e+07 4.7417421615790538e+06 +1.1328409469823599e+01 9.8051830234083489e+07 9.8041990161071867e+07 9.8025263645215884e+07 9.8002866540444195e+07 9.7979397329592794e+07 9.7962360983686447e+07 9.7955244921091557e+07 9.7952262339625984e+07 9.7947246147178680e+07 9.7938514494517162e+07 9.7926254948542908e+07 9.7910022442667499e+07 9.7889027680927336e+07 9.7862454860448986e+07 9.7829436506079540e+07 9.7788917954267159e+07 9.7739634881732285e+07 9.7680114314633369e+07 9.7608633868328229e+07 9.7523162947417811e+07 9.7421324463932425e+07 9.7300285421618968e+07 9.7156137846150562e+07 9.6982164040410355e+07 9.6771051699681133e+07 9.6519120338943273e+07 9.6222236006435826e+07 9.5873892887463272e+07 9.5466131460611656e+07 9.4989873621969312e+07 9.4434931577121422e+07 9.3789981556914806e+07 9.3042577917932317e+07 9.2179231593229488e+07 9.1185584002263620e+07 9.0046687243063524e+07 8.8747450455004990e+07 8.7273266629222527e+07 8.5610871535300195e+07 8.3749420517591923e+07 8.1519467052239388e+07 7.9049594824584365e+07 7.6347037174835458e+07 7.3430268646460399e+07 7.0330383743406445e+07 6.7091324840688817e+07 6.3768504817591533e+07 6.0425587203742802e+07 5.7129645958406717e+07 5.3944989766005136e+07 5.0927247264770225e+07 4.8119719284710467e+07 4.5551118334748335e+07 4.3232584024853803e+07 4.1161669206819080e+07 3.9326599848804183e+07 3.7708668794012032e+07 3.6286555330806904e+07 3.5038168286902077e+07 3.3943762329294041e+07 3.2984462190743160e+07 3.2145109826655447e+07 3.1411276941570699e+07 3.0772462850417197e+07 3.0218093795483153e+07 2.9739299876648355e+07 2.9329197199783921e+07 2.8980485899885856e+07 2.8686129317318764e+07 2.8440991122595921e+07 2.8238669525907125e+07 2.8074522353268683e+07 2.7943199825887747e+07 2.7840106824813537e+07 2.7759000609781522e+07 2.7693796121163554e+07 2.7639970014043868e+07 2.7593220772917740e+07 2.7549311162489381e+07 2.7518305151187226e+07 2.7487018978297379e+07 2.7455105243498847e+07 2.7421682170749635e+07 2.7387203844703570e+07 2.7350679011416133e+07 2.7313333714966312e+07 2.7271839808108132e+07 2.7227432337849386e+07 2.7179294119968314e+07 2.7126787033927888e+07 2.7069135657681841e+07 2.7005466460201729e+07 2.6934525034975782e+07 2.6856462289827313e+07 2.6768318925345361e+07 2.6669494621811841e+07 2.6558555427959390e+07 2.6433958186764378e+07 2.6294111506978080e+07 2.6137419161278237e+07 2.5962116399213269e+07 2.5768449241057966e+07 2.5553017615091436e+07 2.5316566534349278e+07 2.5059642990320068e+07 2.4784262203844294e+07 2.4493852934469074e+07 2.4194941443835314e+07 2.3897239777245332e+07 2.3616661775664814e+07 2.3373193550060876e+07 2.3198162113079689e+07 2.3135199022911269e+07 2.3247715289878406e+07 2.3627986096742842e+07 2.4415843541468810e+07 2.5832645657992736e+07 2.8251397197615385e+07 4.7244551145864744e+06 +1.1333377792597858e+01 9.7803387831961423e+07 9.7793572310063586e+07 9.7776887485407412e+07 9.7754544995573819e+07 9.7731131477217063e+07 9.7714132169060379e+07 9.7707025689735070e+07 9.7704040113373503e+07 9.7699023849695101e+07 9.7690298771114811e+07 9.7678051381449252e+07 9.7661837166750744e+07 9.7640868157326788e+07 9.7614329813349202e+07 9.7581355940773875e+07 9.7540893479805157e+07 9.7491680027114034e+07 9.7432244801363021e+07 9.7360867989915103e+07 9.7275522053583890e+07 9.7173833506299809e+07 9.7052973703353897e+07 9.6909040898402780e+07 9.6735328133805722e+07 9.6524533752530009e+07 9.6272982610363752e+07 9.5976548175498232e+07 9.5628735749750406e+07 9.5221599281024188e+07 9.4746076330945835e+07 9.4191997168360174e+07 9.3548058763603926e+07 9.2801839157204017e+07 9.1939876141734198e+07 9.0947841314633563e+07 8.9810820317941278e+07 8.8513759008328393e+07 8.7042089783873662e+07 8.5382589549722269e+07 8.3524455008581609e+07 8.1298579695814833e+07 7.8833359418916255e+07 7.6136056405654535e+07 7.3225154239658654e+07 7.0131729283523872e+07 6.6899672194343559e+07 6.3584306872196056e+07 6.0249171510093689e+07 5.6961184982964322e+07 5.3784484539521471e+07 5.0774527855273336e+07 4.7974459254709624e+07 4.5412862635830864e+07 4.3100794453364499e+07 4.1035764986523569e+07 3.9205990776180416e+07 3.7592784342877001e+07 3.6174861315519780e+07 3.4930177262616761e+07 3.3839032746978574e+07 3.2882600772888187e+07 3.2045763364417300e+07 3.1314132542483177e+07 3.0677237074293867e+07 3.0124534045743179e+07 2.9647179706221335e+07 2.9238310425005835e+07 2.8890648343339331e+07 2.8597178042342007e+07 2.8352778560796089e+07 2.8151067619353093e+07 2.7987416804756906e+07 2.7856492435483024e+07 2.7753713000081595e+07 2.7672854452907074e+07 2.7607850068188310e+07 2.7554189845503081e+07 2.7507585120642260e+07 2.7463811567219540e+07 2.7432901734966561e+07 2.7401712643629812e+07 2.7369897952101685e+07 2.7336578612152278e+07 2.7302207295575555e+07 2.7265795850432325e+07 2.7228566381961353e+07 2.7187201258041423e+07 2.7142931612917509e+07 2.7094942798486829e+07 2.7042598674591951e+07 2.6985126225730348e+07 2.6921654631870173e+07 2.6850933405971359e+07 2.6773112856324453e+07 2.6685243051072504e+07 2.6586725455022741e+07 2.6476130567182966e+07 2.6351920019765008e+07 2.6212507360405084e+07 2.6056301315746482e+07 2.5881542637742724e+07 2.5688476456925392e+07 2.5473713430320799e+07 2.5237996183112048e+07 2.4981870009254456e+07 2.4707343875323337e+07 2.4417835899743784e+07 2.4119852089787304e+07 2.3823074372752652e+07 2.3543367084805783e+07 2.3300654471845847e+07 2.3126166252959747e+07 2.3063398597859342e+07 2.3175565674642868e+07 2.3554656299477678e+07 2.4340068611127287e+07 2.5752473690405458e+07 2.8163718503086030e+07 4.7072283764196932e+06 +1.1338346115372117e+01 9.7555455117392406e+07 9.7545664485610694e+07 9.7529021129967064e+07 9.7506733096666202e+07 9.7483375171782747e+07 9.7466412844437599e+07 9.7459315956312642e+07 9.7456327423315808e+07 9.7451311128590792e+07 9.7442592659316808e+07 9.7430357459878266e+07 9.7414161569758162e+07 9.7393218345652297e+07 9.7366714510112137e+07 9.7333785150374159e+07 9.7293378810694739e+07 9.7244235007686973e+07 9.7184885153024271e+07 9.7113612006440401e+07 9.7028391085158169e+07 9.6926852505514130e+07 9.6806171974432141e+07 9.6662453972272143e+07 9.6489002279670298e+07 9.6278525890201598e+07 9.6027355003064573e+07 9.5731370501958564e+07 9.5384088800780267e+07 9.4977577312627912e+07 9.4502789258153066e+07 9.3949572960894033e+07 9.3306646118200570e+07 9.2561610437393740e+07 9.1701030547021076e+07 9.0710608191070989e+07 8.9575462513677448e+07 8.8280576034038410e+07 8.6811420487266481e+07 8.5154813826404929e+07 8.3299994004781201e+07 8.1078194286165029e+07 7.8617622528533489e+07 7.5925569648019820e+07 7.3020528066727757e+07 6.9933555823306248e+07 6.6708491722793497e+07 6.3400570632590406e+07 6.0073205463523991e+07 5.6793160186222427e+07 5.3624400911605127e+07 5.0622214741694972e+07 4.7829589940038033e+07 4.5274982242524400e+07 4.2969365325428478e+07 4.0910207185155459e+07 3.9085715132303409e+07 3.7477221461984798e+07 3.6063478166879565e+07 3.4822487520936757e+07 3.3734595924615279e+07 3.2781024567238461e+07 3.1946695463514712e+07 3.1217260860191379e+07 3.0582278910459872e+07 3.0031237467749067e+07 2.9555318864966761e+07 2.9147679683819596e+07 2.8801064013453443e+07 2.8508477619289853e+07 2.8264814868046340e+07 2.8063712937705055e+07 2.7900557140151706e+07 2.7770029848194778e+07 2.7667563122506876e+07 2.7586951562458485e+07 2.7522146726992890e+07 2.7468651925688617e+07 2.7422191311564278e+07 2.7378553431900784e+07 2.7347739507324897e+07 2.7316647223432560e+07 2.7284931295480102e+07 2.7251715395359021e+07 2.7217450786045231e+07 2.7181152408650745e+07 2.7144038441377785e+07 2.7102801736695670e+07 2.7058669527450327e+07 2.7010829694495022e+07 2.6958648072501093e+07 2.6901354045688804e+07 2.6838079497362804e+07 2.6767577848791286e+07 2.6689998810983833e+07 2.6602401792359140e+07 2.6504190037588231e+07 2.6393938483374421e+07 2.6270113537641622e+07 2.6131133672990382e+07 2.5975412555964179e+07 2.5801196425341517e+07 2.5608729524975773e+07 2.5394633209505506e+07 2.5159647723371979e+07 2.4904316667794015e+07 2.4630642772769764e+07 2.4342033545599155e+07 2.4044974796425428e+07 2.3749118419493724e+07 2.3470279386479951e+07 2.3228320252197742e+07 2.3054373717267316e+07 2.2991800945174333e+07 2.3103619817896042e+07 2.3481533593701288e+07 2.4264507677646767e+07 2.5672528137261070e+07 2.8076287423254069e+07 4.6900617493749987e+06 +1.1343314438146376e+01 9.7308032285535023e+07 9.7298265878704980e+07 9.7281663836497143e+07 9.7259430283095241e+07 9.7236127851071581e+07 9.7219202450314641e+07 9.7212115160779163e+07 9.7209123709268615e+07 9.7204107423564062e+07 9.7195395598469302e+07 9.7183172623056725e+07 9.7166995090784132e+07 9.7146077684487656e+07 9.7119608388812125e+07 9.7086723572607532e+07 9.7046373384115174e+07 9.6997299260084793e+07 9.6938034805537909e+07 9.6866865352839068e+07 9.6781769476010650e+07 9.6680380894151226e+07 9.6559879665997818e+07 9.6416376497464463e+07 9.6243185905350417e+07 9.6033027537629038e+07 9.5782236939106032e+07 9.5486702404502168e+07 9.5139951455218017e+07 9.4734064965300471e+07 9.4260011808010861e+07 9.3707658352839693e+07 9.3065743011501655e+07 9.2321891140821889e+07 9.1462694181869105e+07 9.0473883993403941e+07 8.9340613179665267e+07 8.8047900867781430e+07 8.6581258059757933e+07 8.4927543668609053e+07 8.3076036791315779e+07 8.0858310087308273e+07 7.8402383395454422e+07 7.5715576121797875e+07 7.2816389325718150e+07 6.9735862540519789e+07 6.6517782586360097e+07 6.3217295245303147e+07 5.9897688201845035e+07 5.6625570702691607e+07 5.3464738019361809e+07 5.0470307069358572e+07 4.7685110499149136e+07 4.5137476330323838e+07 4.2838295836216301e+07 4.0784995018878929e+07 3.8965772154708192e+07 3.7361979409854218e+07 3.5952405163245715e+07 3.4715098358725093e+07 3.3630451175856777e+07 3.2679732902686518e+07 3.1847905466437366e+07 3.1120661249290176e+07 3.0487587724170148e+07 2.9938203436083045e+07 2.9463716735578172e+07 2.9057304365849927e+07 2.8711732305878907e+07 2.8420027448859654e+07 2.8177099449262302e+07 2.7976604889477715e+07 2.7813942770896219e+07 2.7683811477825567e+07 2.7581656607796185e+07 2.7501291355706949e+07 2.7436685516106449e+07 2.7383355674190756e+07 2.7337038766262997e+07 2.7293536178071935e+07 2.7262817890395854e+07 2.7231822140511192e+07 2.7200204697104946e+07 2.7167091944547731e+07 2.7132933740975685e+07 2.7096748111720696e+07 2.7059749319667388e+07 2.7018640671356399e+07 2.6974645509651169e+07 2.6926954237212192e+07 2.6874934657995708e+07 2.6817818549099401e+07 2.6754740489557397e+07 2.6684457797811016e+07 2.6607119589817606e+07 2.6519794587094162e+07 2.6421887809466921e+07 2.6311978618849091e+07 2.6188538185331054e+07 2.6049989892551791e+07 2.5894752333081461e+07 2.5721077216824640e+07 2.5529207904061135e+07 2.5315776416038882e+07 2.5081520623502158e+07 2.4826982439713322e+07 2.4554158375728592e+07 2.4266445357675973e+07 2.3970309055677112e+07 2.3675371415628463e+07 2.3397398184726663e+07 2.3156190400289308e+07 2.2982784018854048e+07 2.2920405579025280e+07 2.3031877231460825e+07 2.3408617483236618e+07 2.4189160228283439e+07 2.5592808456081457e+07 2.7989103364847265e+07 4.6729550363368643e+06 +1.1348282760920634e+01 9.7061118356710002e+07 9.7051376048122421e+07 9.7034815021006897e+07 9.7012635992014080e+07 9.6989388952742994e+07 9.6972500425499395e+07 9.6965422741481274e+07 9.6962428409521818e+07 9.6957412172731683e+07 9.6948707026587784e+07 9.6936496308646336e+07 9.6920337167132631e+07 9.6899445610808358e+07 9.6873010886175051e+07 9.6840170643592700e+07 9.6799876635681257e+07 9.6750872219140694e+07 9.6691693192994922e+07 9.6620627462282419e+07 9.6535656658474952e+07 9.6434418103347406e+07 9.6314096207661018e+07 9.6170807901914373e+07 9.5997878436849922e+07 9.5788038118339390e+07 9.5537627838994592e+07 9.5242543300047860e+07 9.4896323126223251e+07 9.4491061647377625e+07 9.4017743383448362e+07 9.3466252740592003e+07 9.2825348832709312e+07 9.2082680648462236e+07 9.1224866417685419e+07 9.0237668082158089e+07 8.9106271664143384e+07 8.7815732844001621e+07 8.6351601820404723e+07 8.4700778378883913e+07 8.2852582652321562e+07 8.0638926362560943e+07 7.8187641261281222e+07 7.5506075046327516e+07 7.2612737214359209e+07 6.9538648612898067e+07 6.6327543945354447e+07 6.3034479857119523e+07 5.9722618863240317e+07 5.6458415667368226e+07 5.3305495000581630e+07 5.0318803984361641e+07 4.7541020091426902e+07 4.5000344075690910e+07 4.2707585181879073e+07 4.0660127704893127e+07 3.8846161082083471e+07 3.7247057446027771e+07 3.5841641584018081e+07 3.4608009073794685e+07 3.3526597815450955e+07 3.2578725109213863e+07 3.1749392716742698e+07 3.1024333065434717e+07 3.0393162881705590e+07 2.9845431326331321e+07 2.9372372701687612e+07 2.8967183861753646e+07 2.8622652617215760e+07 2.8331826932713099e+07 2.8089631710349027e+07 2.7889742884115260e+07 2.7727573109365657e+07 2.7597836739090934e+07 2.7495992872595210e+07 2.7415873250844475e+07 2.7351465855002750e+07 2.7298300511550333e+07 2.7252126906258322e+07 2.7208759228100654e+07 2.7178136307244942e+07 2.7147236818596017e+07 2.7115717581354812e+07 2.7082707684789564e+07 2.7048655586179256e+07 2.7012582386251420e+07 2.6975698444165546e+07 2.6934717490251530e+07 2.6890858988691039e+07 2.6843315856871668e+07 2.6791457862327941e+07 2.6734519168460645e+07 2.6671637042294342e+07 2.6601572688323945e+07 2.6524474629764218e+07 2.6437420874033071e+07 2.6339818211526383e+07 2.6230250416765448e+07 2.6107193408601865e+07 2.5969075467841096e+07 2.5814320099101771e+07 2.5641184467873752e+07 2.5449911053936239e+07 2.5237142514179893e+07 2.5003614352724336e+07 2.4749866799606636e+07 2.4477890164555654e+07 2.4191070822452478e+07 2.3895854360280134e+07 2.3601832860134639e+07 2.3324722984415852e+07 2.3084264426063236e+07 2.2911396671352651e+07 2.2849212014392458e+07 2.2960337427932538e+07 2.3335907472716011e+07 2.4114025751158506e+07 2.5513314105267324e+07 2.7902165735588863e+07 4.6559080407764753e+06 +1.1353251083694893e+01 9.6814711852474347e+07 9.6804994025577754e+07 9.6788474346159309e+07 9.6766349666180015e+07 9.6743157913812667e+07 9.6726306207043350e+07 9.6719238135092780e+07 9.6716240960611522e+07 9.6711224812517956e+07 9.6702526379865259e+07 9.6690327952516451e+07 9.6674187234532773e+07 9.6653321560114756e+07 9.6626921437173009e+07 9.6594125797971666e+07 9.6553887999348432e+07 9.6504953318310931e+07 9.6445859748113424e+07 9.6374897766737938e+07 9.6290052063227460e+07 9.6188963562576100e+07 9.6068821027506292e+07 9.5925747611925334e+07 9.5753079298532307e+07 9.5543557054156214e+07 9.5293527121727049e+07 9.4998892604285866e+07 9.4653203225170165e+07 9.4248566765721247e+07 9.3775983385860935e+07 9.3225355519570589e+07 9.2585462969824463e+07 9.1843978339901537e+07 9.0987546624566108e+07 9.0001959816604629e+07 8.8872437314293519e+07 8.7584071296023890e+07 8.6122451087321758e+07 8.4474517258430704e+07 8.2629630871057570e+07 8.0420042374441564e+07 7.7973395366760924e+07 7.5297065640498430e+07 7.2409570930062637e+07 6.9341913217890173e+07 6.6137774960145921e+07 6.2852123615034372e+07 5.9547996586128965e+07 5.6291694215745330e+07 5.3146670993673891e+07 5.0167704633597575e+07 4.7397317877152301e+07 4.4863584656050153e+07 4.2577232559487931e+07 4.0535604461448625e+07 3.8726881154004522e+07 3.7132454831116132e+07 3.5731186709616430e+07 3.4501218965025268e+07 3.3423035159091443e+07 3.2478000517705876e+07 3.1651156558967926e+07 3.0928275665242646e+07 3.0299003750334039e+07 2.9752920515015960e+07 2.9281286147998836e+07 2.8877317563131060e+07 2.8533824344991222e+07 2.8243875473418750e+07 2.8002411058163434e+07 2.7803126331997503e+07 2.7641447568837415e+07 2.7512105047707599e+07 2.7410571334471736e+07 2.7330696666949414e+07 2.7266487164067242e+07 2.7213485859248869e+07 2.7167455153959248e+07 2.7124222005338803e+07 2.7093694181846574e+07 2.7062890682293884e+07 2.7031469373534333e+07 2.6998562042094067e+07 2.6964615748388272e+07 2.6928654659698687e+07 2.6891885243158091e+07 2.6851031622537848e+07 2.6807309394656420e+07 2.6759913984494302e+07 2.6708217117716953e+07 2.6651455337132033e+07 2.6588768590289030e+07 2.6518921956570607e+07 2.6442063368662566e+07 2.6355280092904672e+07 2.6257980685501326e+07 2.6148753321198937e+07 2.6026078654153641e+07 2.5888389848452043e+07 2.5734115306917716e+07 2.5561517635075022e+07 2.5370838435197100e+07 2.5158730969044920e+07 2.4925928381079726e+07 2.4672969222944506e+07 2.4401837620485097e+07 2.4115909427212227e+07 2.3821610203764141e+07 2.3528502252804242e+07 2.3252253291198742e+07 2.3012541840306468e+07 2.2840211189173158e+07 2.2778219766987987e+07 2.2888999920676962e+07 2.3263403067551922e+07 2.4039103735187892e+07 2.5434044544088069e+07 2.7815473944064561e+07 4.6389205667502601e+06 +1.1358219406469152e+01 9.6568813586088479e+07 9.6559119702269241e+07 9.6542641325102344e+07 9.6520570755184978e+07 9.6497434170649186e+07 9.6480619230284870e+07 9.6473560776855737e+07 9.6470560797738671e+07 9.6465544777901024e+07 9.6456853092919692e+07 9.6444666989249378e+07 9.6428544727023825e+07 9.6407704966165125e+07 9.6381339475267529e+07 9.6348588468657032e+07 9.6308406907667726e+07 9.6259541989529327e+07 9.6200533901844472e+07 9.6129675696184233e+07 9.6044955119388536e+07 9.5944016699895009e+07 9.5824053552033022e+07 9.5681195052273571e+07 9.5508787913114443e+07 9.5299583765532076e+07 9.5049934204769984e+07 9.4755749731244639e+07 9.4410591162191808e+07 9.4006579725780904e+07 9.3534731215315074e+07 9.2984966083557993e+07 9.2346084809426054e+07 9.1605783593484327e+07 9.0750734171369061e+07 8.9766758554870203e+07 8.8639109475779220e+07 8.7352915556124538e+07 8.5893805177752972e+07 8.4248759607776269e+07 8.2407180729967192e+07 8.0201657384721607e+07 7.7759644952160344e+07 7.5088547122697920e+07 7.2206889669965953e+07 6.9145655532973349e+07 6.5948474790995769e+07 6.2670225666171752e+07 5.9373820509328604e+07 5.6125405483925313e+07 5.2988265137674674e+07 5.0017008164737210e+07 4.7254003017388985e+07 4.4727197249652751e+07 4.2447237167143896e+07 4.0411424507706165e+07 3.8607931611166626e+07 3.7018170826626420e+07 3.5621039821520619e+07 3.4394727332285412e+07 3.3319762523517769e+07 3.2377558460135695e+07 3.1553196338658832e+07 3.0832488406307336e+07 3.0205109698235083e+07 2.9660670379692253e+07 2.9190456460061774e+07 2.8787704862524733e+07 2.8445246887709375e+07 2.8156172474560205e+07 2.7915436900490243e+07 2.7716754644464988e+07 2.7555565563569438e+07 2.7426615820251036e+07 2.7325391411962815e+07 2.7245761024115670e+07 2.7181748864642940e+07 2.7128911139680702e+07 2.7083022932736129e+07 2.7039923934036344e+07 2.7009490939119302e+07 2.6978783157183032e+07 2.6947459499866642e+07 2.6914654443401966e+07 2.6880813655240245e+07 2.6844964360497594e+07 2.6808309145848416e+07 2.6767582498261902e+07 2.6723996158498205e+07 2.6676748052095886e+07 2.6625211857243091e+07 2.6568626489446882e+07 2.6506134569162630e+07 2.6436505039612543e+07 2.6359885245252065e+07 2.6273371684263747e+07 2.6176374674056631e+07 2.6067486777133763e+07 2.5945193369528104e+07 2.5807932484877285e+07 2.5654137410288703e+07 2.5482076175837252e+07 2.5291989509343054e+07 2.5080541246610228e+07 2.4848462179517433e+07 2.4596289185988374e+07 2.4326000225564074e+07 2.4040960660081930e+07 2.3747576080518719e+07 2.3455379094234098e+07 2.3179988611515746e+07 2.2941022154517062e+07 2.2769227087515019e+07 2.2707428353319291e+07 2.2817864223872069e+07 2.3191103773935515e+07 2.3964393670107927e+07 2.5354999232695460e+07 2.7729027399894603e+07 4.6219924188984605e+06 +1.1363187729243410e+01 9.6323422150700316e+07 9.6313752766213626e+07 9.6297315313580990e+07 9.6275298705019832e+07 9.6252217158874944e+07 9.6235438928952605e+07 9.6228390100219488e+07 9.6225387354459703e+07 9.6220371502096340e+07 9.6211686598974824e+07 9.6199512851694912e+07 9.6183409077388600e+07 9.6162595261233211e+07 9.6136264432275608e+07 9.6103558087150201e+07 9.6063432791488573e+07 9.6014637662858129e+07 9.5955715083876431e+07 9.5884960679454833e+07 9.5800365254729554e+07 9.5699576941487312e+07 9.5579793206300378e+07 9.5437149646403879e+07 9.5265003701956436e+07 9.5056117671208233e+07 9.4806848504076853e+07 9.4513114093434945e+07 9.4168486345911294e+07 9.3765099931579024e+07 9.3293986270491451e+07 9.2745083824696779e+07 9.2107213736754879e+07 9.1368095786173299e+07 9.0514428425590366e+07 8.9532063653656825e+07 8.8406287493399084e+07 8.7122264955260918e+07 8.5665663407482013e+07 8.4023504726398960e+07 8.2185231510621265e+07 7.9983770654519096e+07 7.7546389257147133e+07 7.4880518710885540e+07 7.2004692630856767e+07 6.8949874735259041e+07 6.5759642598299220e+07 6.2488785157934390e+07 5.9200089772046834e+07 5.5959548608466476e+07 5.2830276572288081e+07 4.9866713726169445e+07 4.7111074674090564e+07 4.4591181035734311e+07 4.2317598203909487e+07 4.0287587063947842e+07 3.8489311695265554e+07 3.6904204695264615e+07 3.5511200202160493e+07 3.4288533476548508e+07 3.3216779226444144e+07 3.2277398269438848e+07 3.1455511402329858e+07 3.0736970647267297e+07 3.0111480094669361e+07 2.9568680298845280e+07 2.9099883024477120e+07 2.8698345153457426e+07 2.8356919644816771e+07 2.8068717340638731e+07 2.7828708646059763e+07 2.7630627233777538e+07 2.7469926508723725e+07 2.7341368474283390e+07 2.7240452524498250e+07 2.7161065743291397e+07 2.7097250378931146e+07 2.7044575776165329e+07 2.6998829666837189e+07 2.6955864439421851e+07 2.6925526004891332e+07 2.6894913669758376e+07 2.6863687387539148e+07 2.6830984316554837e+07 2.6797248735330295e+07 2.6761510918007061e+07 2.6724969582338918e+07 2.6684369548388794e+07 2.6640918712180175e+07 2.6593817492584761e+07 2.6542441514890019e+07 2.6486032060583852e+07 2.6423734415460344e+07 2.6354321375508659e+07 2.6277939699169196e+07 2.6191695089599844e+07 2.6094999620735869e+07 2.5986450230397839e+07 2.5864537003208969e+07 2.5727702828502163e+07 2.5574385863871597e+07 2.5402859548475925e+07 2.5213363738713332e+07 2.5002572813721869e+07 2.4771215219791785e+07 2.4519826165897634e+07 2.4250377462655090e+07 2.3966224009979714e+07 2.3673751485701498e+07 2.3382462885771647e+07 2.3107928452628884e+07 2.2869704881041326e+07 2.2698443882353090e+07 2.2636837290686879e+07 2.2746929852428727e+07 2.3119009098917030e+07 2.3889895046504047e+07 2.5276177632080495e+07 2.7642825513588835e+07 4.6051234024436604e+06 +1.1368156052017669e+01 9.6078537388327330e+07 9.6068891904438987e+07 9.6052495630162790e+07 9.6030532946747333e+07 9.6007506312177688e+07 9.5990764734832495e+07 9.5983725537282899e+07 9.5980720062631249e+07 9.5975704416977599e+07 9.5967026329525128e+07 9.5954864971127883e+07 9.5938779716668800e+07 9.5917991876070917e+07 9.5891695738592908e+07 9.5859034083241239e+07 9.5818965080035597e+07 9.5770239767170668e+07 9.5711402722064346e+07 9.5640752143565610e+07 9.5556281895173222e+07 9.5455643712425143e+07 9.5336039413620114e+07 9.5193610816024482e+07 9.5021726084841669e+07 9.4813158188749507e+07 9.4564269434152439e+07 9.4270985101991966e+07 9.3926888183483213e+07 9.3524126785502806e+07 9.3053747948477596e+07 9.2505708134198681e+07 9.1868849135621905e+07 9.1130914293590695e+07 9.0278628753396720e+07 8.9297874468517691e+07 8.8173970710667342e+07 8.6892118823547855e+07 8.5438025091594219e+07 8.3798751912835926e+07 8.1963782493702948e+07 7.9766381444119081e+07 7.7333627520745158e+07 7.4672979622525543e+07 7.1802979009260029e+07 6.8754570002017185e+07 6.5571277542513937e+07 6.2307801237822846e+07 5.9026803513870530e+07 5.5794122726401508e+07 5.2672704437955275e+07 4.9716820467080891e+07 4.6968532010066971e+07 4.4455535194483027e+07 4.2188314869778447e+07 4.0164091351375706e+07 3.8371020649027333e+07 3.6790555700653672e+07 3.5401667135081515e+07 3.4182636699704438e+07 3.3114084586713333e+07 3.2177519279597603e+07 3.1358101097543687e+07 3.0641721747663848e+07 3.0018114309815202e+07 2.9476949651933648e+07 2.9009565228739638e+07 2.8609237830403510e+07 2.8268842016756896e+07 2.7981509477090884e+07 2.7742225704545543e+07 2.7544743513150088e+07 2.7384529820447098e+07 2.7256362428302370e+07 2.7155754092474144e+07 2.7076610246413335e+07 2.7012991130164847e+07 2.6960479193001296e+07 2.6914874781514443e+07 2.6872042947577957e+07 2.6841798805922970e+07 2.6811281647428233e+07 2.6780152464594070e+07 2.6747551090316851e+07 2.6713920418130361e+07 2.6678293762429625e+07 2.6641865983643506e+07 2.6601392204839941e+07 2.6558076488461085e+07 2.6511121739776410e+07 2.6459905525581721e+07 2.6403671486680020e+07 2.6341567566616658e+07 2.6272370403154716e+07 2.6196226170976564e+07 2.6110249751278799e+07 2.6013854969971336e+07 2.5905643127782606e+07 2.5784109004556857e+07 2.5647700331598755e+07 2.5494860123185579e+07 2.5323867212159935e+07 2.5134960586503126e+07 2.4924825138101604e+07 2.4694186974540260e+07 2.4443579640640780e+07 2.4174968815481335e+07 2.3891698966710094e+07 2.3600135915313423e+07 2.3309753129645552e+07 2.3036072322556738e+07 2.2798589532968353e+07 2.2627861090423413e+07 2.2566446097157948e+07 2.2676196322103072e+07 2.3047118550257262e+07 2.3815607355741851e+07 2.5197579204132535e+07 2.7556867696659807e+07 4.5883133231893275e+06 +1.1373124374791928e+01 9.5834158231959641e+07 9.5824537167501152e+07 9.5808181685813755e+07 9.5786272898781925e+07 9.5763301062383905e+07 9.5746596078546941e+07 9.5739566518406883e+07 9.5736558352680534e+07 9.5731542952790514e+07 9.5722871714605272e+07 9.5710722777410388e+07 9.5694656074266404e+07 9.5673894239867285e+07 9.5647632822976992e+07 9.5615015885318339e+07 9.5575003201289192e+07 9.5526347729566664e+07 9.5467596242867514e+07 9.5397049514146075e+07 9.5312704465432808e+07 9.5212216435977757e+07 9.5092791596068770e+07 9.4950577981430873e+07 9.4778954480006427e+07 9.4570704733861417e+07 9.4322196408113703e+07 9.4029362166640654e+07 9.3685796080668852e+07 9.3283659688917205e+07 9.2814015645150095e+07 9.2266838401630551e+07 9.1630990388613775e+07 9.0894238490081355e+07 9.0043334519889742e+07 8.9064190353855982e+07 8.7942158469906196e+07 8.6662476489854172e+07 8.5210889544077933e+07 8.3574500464658767e+07 8.1742832959252343e+07 7.9549489013103157e+07 7.7121358981383815e+07 7.4465929074691847e+07 7.1601748001385197e+07 6.8559740510085255e+07 6.5383378784109414e+07 6.2127273053761967e+07 5.8853960874718554e+07 5.5629126975374192e+07 5.2515547875659332e+07 4.9567327537492022e+07 4.6826374189023308e+07 4.4320258907028861e+07 4.2059386365819119e+07 4.0040936592238262e+07 3.8253057716156431e+07 3.6677223107508078e+07 3.5292439904833898e+07 3.4077036304778069e+07 3.3011677924095120e+07 3.2077920825576041e+07 3.1260964772815038e+07 3.0546741068096880e+07 2.9925011714859750e+07 2.9385477819407608e+07 2.8919502461424470e+07 2.8520382288819339e+07 2.8181013404850166e+07 2.7894548290332261e+07 2.7655987486609254e+07 2.7459102896755017e+07 2.7299374915772084e+07 2.7171597101720627e+07 2.7071295537198272e+07 2.6992393956317965e+07 2.6928970542448483e+07 2.6876620815339867e+07 2.6831157702915326e+07 2.6788458885550972e+07 2.6758308769919220e+07 2.6727886518516134e+07 2.6696854160064764e+07 2.6664354194412321e+07 2.6630828134056468e+07 2.6595312324978855e+07 2.6558997781752270e+07 2.6518649900406916e+07 2.6475468921123870e+07 2.6428660228426736e+07 2.6377603325174026e+07 2.6321544204743031e+07 2.6259633460974202e+07 2.6190651562408388e+07 2.6114744102097590e+07 2.6029035112613093e+07 2.5932940167115290e+07 2.5825064916917562e+07 2.5703908823794749e+07 2.5567924447284445e+07 2.5415559644656409e+07 2.5245098626967497e+07 2.5056779516816761e+07 2.4847297688271966e+07 2.4617376917250529e+07 2.4367549089024354e+07 2.4099773768606946e+07 2.3817385020820923e+07 2.3526728866144173e+07 2.3237249328849312e+07 2.2964419730120428e+07 2.2727675624212962e+07 2.2557478229294486e+07 2.2496254291546192e+07 2.2605663149388112e+07 2.2975431636563990e+07 2.3741530090069152e+07 2.5119203411579106e+07 2.7471153361534514e+07 4.5715619875183804e+06 +1.1378092697566187e+01 9.5590284979423299e+07 9.5580688137113184e+07 9.5564372896987796e+07 9.5542517978353366e+07 9.5519600839131922e+07 9.5502932388949290e+07 9.5495912472466037e+07 9.5492901653648451e+07 9.5487886538202971e+07 9.5479222182693109e+07 9.5467085698810637e+07 9.5451037578346908e+07 9.5430301780183598e+07 9.5404075112794712e+07 9.5371502920211971e+07 9.5331546581494704e+07 9.5282960975725517e+07 9.5224295071262658e+07 9.5153852215205923e+07 9.5069632388388291e+07 9.4969294534072697e+07 9.4850049174085349e+07 9.4708050561341405e+07 9.4536688304439336e+07 9.4328756721072882e+07 9.4080628837382242e+07 9.3788244695553169e+07 9.3445209441670492e+07 9.3043698041385055e+07 9.2574788754905522e+07 9.2028474015328035e+07 9.1393636876835585e+07 9.0658067748642862e+07 8.9808545088794455e+07 8.8831010662836462e+07 8.7710850112319931e+07 8.6433337281983182e+07 8.4984256077935338e+07 8.3350749678572580e+07 8.1522382186154827e+07 7.9333092620453328e+07 7.6909582877030030e+07 7.4259366283996046e+07 7.1400998803139970e+07 6.8365385436385691e+07 6.5195945483585916e+07 6.1947199753656626e+07 5.8681560994961888e+07 5.5464560493629500e+07 5.2358806027159631e+07 4.9418234088136598e+07 4.6684600375533529e+07 4.4185351355384849e+07 4.1930811894022927e+07 3.9918122009856708e+07 3.8135422141449772e+07 3.6564206181582779e+07 3.5183517797008887e+07 3.3971731595734149e+07 3.2909558559383169e+07 3.1978602243366998e+07 3.1164101777703233e+07 3.0452027970175952e+07 2.9832171681935176e+07 2.9294264182728115e+07 2.8829694111950997e+07 2.8431777925106138e+07 2.8093433211468913e+07 2.7807833187735129e+07 2.7569993403820597e+07 2.7373704799679708e+07 2.7214461212715331e+07 2.7087071914913081e+07 2.6987076280932933e+07 2.6908416296803396e+07 2.6845188040814679e+07 2.6793000069322117e+07 2.6747677858078022e+07 2.6705111681350615e+07 2.6675055325497739e+07 2.6644727712325454e+07 2.6613791903842919e+07 2.6581393059453484e+07 2.6547971314476319e+07 2.6512566037762668e+07 2.6476364409502756e+07 2.6436142068842344e+07 2.6393095444810621e+07 2.6346432394175775e+07 2.6295534350390688e+07 2.6239649652726654e+07 2.6177931537837565e+07 2.6109164293982025e+07 2.6033492934934948e+07 2.5948050617774878e+07 2.5852254658392992e+07 2.5744715046354510e+07 2.5623935912051748e+07 2.5488374629628647e+07 2.5336483885556962e+07 2.5166553253798604e+07 2.4978819994573023e+07 2.4769989933676805e+07 2.4540784522250373e+07 2.4291733990744505e+07 2.4024791807399232e+07 2.3743281663746443e+07 2.3453529835827570e+07 2.3164950987179965e+07 2.2892970184981026e+07 2.2656962669442896e+07 2.2487294817239732e+07 2.2426261393510971e+07 2.2535329851567999e+07 2.2903947867245521e+07 2.3667662742490675e+07 2.5041049718066506e+07 2.7385681921614222e+07 4.5548692023917334e+06 +1.1383061020340445e+01 9.5346916567466363e+07 9.5337343207743019e+07 9.5321068726723120e+07 9.5299267607282117e+07 9.5276405070210218e+07 9.5259773093550742e+07 9.5252762826947719e+07 9.5249749392843634e+07 9.5244734600509673e+07 9.5236077160898998e+07 9.5223953162079915e+07 9.5207923655228227e+07 9.5187213923407912e+07 9.5161022033732161e+07 9.5128494613305286e+07 9.5088594645547047e+07 9.5040078929847270e+07 9.4981498630679622e+07 9.4911159669442654e+07 9.4827065085760951e+07 9.4726877427047268e+07 9.4607811566640615e+07 9.4466027973253071e+07 9.4294926973267436e+07 9.4087313563443840e+07 9.3839566132131398e+07 9.3547632095501870e+07 9.3205127669394970e+07 9.2804241241196945e+07 9.2336066670794487e+07 9.1790614362164006e+07 9.1156787980174661e+07 9.0422401441108897e+07 8.9574259822581470e+07 8.8598334747491315e+07 8.7480044977990761e+07 8.6204700526736498e+07 8.4758124005039632e+07 8.3127498850389913e+07 8.1302429452779070e+07 7.9117191524336010e+07 7.6698298444876701e+07 7.4053290466662049e+07 7.1200730610292807e+07 6.8171503957756609e+07 6.5008976801540993e+07 6.1767580485869214e+07 5.8509603015390046e+07 5.5300422419816099e+07 5.2202478034812406e+07 4.9269539270591535e+07 4.6543209735066980e+07 4.4050811722584561e+07 4.1802590657431096e+07 3.9795646828475565e+07 3.8018113170736216e+07 3.6451504189602353e+07 3.5074900098257445e+07 3.3866721877656892e+07 3.2807725814414643e+07 3.1879562869976547e+07 3.1067511462764628e+07 3.0357581816436630e+07 2.9739593584254049e+07 2.9203308124288712e+07 2.8740139570773821e+07 2.8343424136601113e+07 2.8006100839880753e+07 2.7721363577601336e+07 2.7484242868696716e+07 2.7288548637994740e+07 2.7129788130236316e+07 2.7002786289178763e+07 2.6903095746894509e+07 2.6824676692586444e+07 2.6761643051294409e+07 2.6709616382020731e+07 2.6664434675017852e+07 2.6622000763865363e+07 2.6592037902215827e+07 2.6561804659030642e+07 2.6530965126825348e+07 2.6498667116990350e+07 2.6465349391636714e+07 2.6430054333767761e+07 2.6393965300702620e+07 2.6353868144804314e+07 2.6310955495080132e+07 2.6264437673614178e+07 2.6213698038889945e+07 2.6157987269521374e+07 2.6096461237344250e+07 2.6027908039545666e+07 2.5952472112711329e+07 2.5867295711869478e+07 2.5771797890955575e+07 2.5664592965529583e+07 2.5544189721363917e+07 2.5409050333531544e+07 2.5257632304046717e+07 2.5088230554480288e+07 2.4901081485638235e+07 2.4692901344600081e+07 2.4464409264713235e+07 2.4216133826299634e+07 2.3950022418086767e+07 2.3669388387720630e+07 2.3380538322807051e+07 2.3092857609238606e+07 2.2821723197521642e+07 2.2586450184134033e+07 2.2417310373408131e+07 2.2356466923468448e+07 2.2465195946735460e+07 2.2832666752487846e+07 2.3594004806887150e+07 2.4963117588067278e+07 2.7300452791238304e+07 4.5382347753468547e+06 +1.1388029343114704e+01 9.5104051539260462e+07 9.5094502100975111e+07 9.5078268573896423e+07 9.5056521205722377e+07 9.5033713181486085e+07 9.5017117618568838e+07 9.5010117007669866e+07 9.5007100996183246e+07 9.5002086565322414e+07 9.4993436074522257e+07 9.4981324592429757e+07 9.4965313729991376e+07 9.4944630094013691e+07 9.4918473010131568e+07 9.4885990388273284e+07 9.4846146816617548e+07 9.4797701014599487e+07 9.4739206343139440e+07 9.4668971297828928e+07 9.4585001977695808e+07 9.4484964533870041e+07 9.4366078191231087e+07 9.4224509632979736e+07 9.4053669900621533e+07 9.3846374672341436e+07 9.3599007701133400e+07 9.3307523771842808e+07 9.2965550165362045e+07 9.2565288685527533e+07 9.2097848784487486e+07 9.1553258827782467e+07 9.0920443077279657e+07 9.0187238938047037e+07 8.9340478082566842e+07 8.8366161958467573e+07 8.7249742405914649e+07 8.5976565549792901e+07 8.4532492636515483e+07 8.2904747274939090e+07 8.1082974036564589e+07 7.8901784982290059e+07 7.6487504921820313e+07 7.3847700838456511e+07 7.1000942618238494e+07 6.7978095250863045e+07 6.4822471898668274e+07 6.1588414398879811e+07 5.8338086077150412e+07 5.5136711893225893e+07 5.2046563041756526e+07 4.9121242237196364e+07 4.6402201433906980e+07 4.3916639192538135e+07 4.1674721860003158e+07 3.9673510273409486e+07 3.7901130050847225e+07 3.6339116399428546e+07 3.4966586096199453e+07 3.3762006456580445e+07 3.2706179012083255e+07 3.1780802043443535e+07 3.0971193179551013e+07 3.0263401970464807e+07 2.9647276795911316e+07 2.9112609027471028e+07 2.8650838229365662e+07 2.8255320321715910e+07 2.7919015694344621e+07 2.7635138869197670e+07 2.7398735294742394e+07 2.7203633828707833e+07 2.7045355088230509e+07 2.6918739646763582e+07 2.6819353359189861e+07 2.6741174569332361e+07 2.6678335000782836e+07 2.6626469181420136e+07 2.6581427582690477e+07 2.6539125562932197e+07 2.6509255930519998e+07 2.6479116789745260e+07 2.6448373260775287e+07 2.6416175799488038e+07 2.6382961798718497e+07 2.6347776646967221e+07 2.6311799890059575e+07 2.6271827563847885e+07 2.6229048508438196e+07 2.6182675504222810e+07 2.6132093829274025e+07 2.6076556494855300e+07 2.6015222000628520e+07 2.5946882241659023e+07 2.5871681079632901e+07 2.5786769840885319e+07 2.5691569312852703e+07 2.5584698124773275e+07 2.5464669704639096e+07 2.5329951014839970e+07 2.5179004359210514e+07 2.5010129991703842e+07 2.4823563456654739e+07 2.4616031392202348e+07 2.4388250620692782e+07 2.4140748077055600e+07 2.3875465087718204e+07 2.3595704685833529e+07 2.3307753826348048e+07 2.3020968700488750e+07 2.2750678279008243e+07 2.2516137684558440e+07 2.2347524417655718e+07 2.2286870402582750e+07 2.2395260953731354e+07 2.2761587803285424e+07 2.3520555777908117e+07 2.4885406486941386e+07 2.7215465385705709e+07 4.5216585144963143e+06 +1.1392997665888963e+01 9.4861690534597173e+07 9.4852164749026567e+07 9.4835971896621272e+07 9.4814278187040299e+07 9.4791524597450495e+07 9.4774965388691917e+07 9.4767974439128101e+07 9.4764955888150513e+07 9.4759941856915087e+07 9.4751298347712055e+07 9.4739199413666144e+07 9.4723207226163864e+07 9.4702549715236679e+07 9.4676427464755148e+07 9.4643989667584747e+07 9.4604202516482472e+07 9.4555826651204363e+07 9.4497417629004821e+07 9.4427286520091027e+07 9.4343442482586935e+07 9.4243555271889225e+07 9.4124848463926941e+07 9.3983494954836577e+07 9.3812916498855606e+07 9.3605939458023235e+07 9.3358952951648489e+07 9.3067919128570691e+07 9.2726476329649672e+07 9.2326839769711360e+07 9.1860134486422092e+07 9.1316406796421260e+07 9.0684601545410350e+07 8.9952579608597323e+07 8.9107199228841051e+07 8.8134491645524189e+07 8.7019941733941257e+07 8.5748931675820604e+07 8.4307361282423481e+07 8.2682494246265799e+07 8.0864015214237884e+07 7.8686872251158029e+07 7.6277201544003606e+07 7.3642596614750504e+07 7.0801634022200242e+07 6.7785158492307603e+07 6.4636429935732149e+07 6.1409700641390495e+07 5.8167009321718298e+07 5.4973428053674400e+07 5.1891060191767201e+07 4.8973342141089588e+07 4.6261574639316969e+07 4.3782832950151667e+07 4.1547204706770852e+07 3.9551711571064524e+07 3.7784472029676370e+07 3.6227042079929963e+07 3.4858575079574861e+07 3.3657584639648400e+07 3.2604917476287656e+07 3.1682319102777209e+07 3.0875146280641600e+07 3.0169487796849955e+07 2.9555220692064289e+07 2.9022166276629273e+07 2.8561789480096024e+07 2.8167465879689332e+07 2.7832177180071868e+07 2.7549158472774342e+07 2.7313470096382808e+07 2.7118959789767236e+07 2.6961161507536642e+07 2.6834931410872497e+07 2.6735848542917959e+07 2.6657909353612393e+07 2.6595263317121543e+07 2.6543557896416891e+07 2.6498656010957155e+07 2.6456485509323958e+07 2.6426708841848128e+07 2.6396663536551617e+07 2.6366015738426983e+07 2.6333918540385488e+07 2.6300807969851792e+07 2.6265732412251279e+07 2.6229867613235638e+07 2.6190019762491118e+07 2.6147373922327150e+07 2.6101145324413061e+07 2.6050721161019862e+07 2.5995356769436739e+07 2.5934213269649804e+07 2.5866086343786951e+07 2.5791119280761655e+07 2.5706472451724041e+07 2.5611568373033293e+07 2.5505029975342408e+07 2.5385375315696176e+07 2.5251076130195692e+07 2.5100599510982476e+07 2.4932251029024258e+07 2.4746265375216670e+07 2.4539379548475828e+07 2.4312308067091472e+07 2.4065576225217570e+07 2.3801119304226849e+07 2.3522230051967889e+07 2.3235175846497249e+07 2.2949283767103147e+07 2.2679834941428389e+07 2.2446024687762581e+07 2.2277936470654309e+07 2.2217471352843534e+07 2.2325524392225459e+07 2.2690710531407092e+07 2.3447315151122130e+07 2.4807915880947266e+07 2.7130719121287093e+07 4.5051402285263510e+06 +1.1397965988663222e+01 9.4619832712466493e+07 9.4610330852179602e+07 9.4594178218328729e+07 9.4572537962778598e+07 9.4549838741275892e+07 9.4533315827259153e+07 9.4526334544219881e+07 9.4523313491638690e+07 9.4518299897980705e+07 9.4509663402894109e+07 9.4497577048093900e+07 9.4481603565745592e+07 9.4460972208734348e+07 9.4434884818891987e+07 9.4402491872180983e+07 9.4362761165632099e+07 9.4314455259423375e+07 9.4256131907463074e+07 9.4186104754389539e+07 9.4102386017828703e+07 9.4002649057261154e+07 9.3884121799397007e+07 9.3742983351845190e+07 9.3572666178981766e+07 9.3366007329037979e+07 9.3119401289438680e+07 9.2828817568214059e+07 9.2487905560882285e+07 9.2088893888096273e+07 9.1622923165479630e+07 9.1080057651077747e+07 9.0449262760548502e+07 8.9718422820860207e+07 8.8874422620190099e+07 8.7903323157124817e+07 8.6790642298824087e+07 8.5521798228486359e+07 8.4082729251785159e+07 8.2460739057555884e+07 8.0645552261617541e+07 7.8472452587200373e+07 7.6067387547225699e+07 7.3437977010617465e+07 7.0602804017051429e+07 6.7592692858561158e+07 6.4450850073571242e+07 6.1231438362468891e+07 5.7996371891199499e+07 5.4810570041571736e+07 5.1735968629268274e+07 4.8825838136253700e+07 4.6121328519371115e+07 4.3649392181320146e+07 4.1420038403700449e+07 3.9430249948697709e+07 3.7668138356179334e+07 3.6115280500999391e+07 3.4750866338113658e+07 3.3553455734982200e+07 3.2503940531930644e+07 3.1584113388076156e+07 3.0779370119587585e+07 3.0075838661165521e+07 2.9463424648819085e+07 2.8931979257136218e+07 2.8472992716329385e+07 2.8079860210848067e+07 2.7745584703246471e+07 2.7463421799514677e+07 2.7228446689012308e+07 2.7034525940073125e+07 2.6877206809895732e+07 2.6751361005646937e+07 2.6652580724090468e+07 2.6574880473006267e+07 2.6512427429133069e+07 2.6460881956904039e+07 2.6416119390632693e+07 2.6374080034719516e+07 2.6344396068514533e+07 2.6314444332407866e+07 2.6283891993398078e+07 2.6251894773960445e+07 2.6218887340060834e+07 2.6183921065377302e+07 2.6148167906769760e+07 2.6108444178153448e+07 2.6065931175050896e+07 2.6019846573522884e+07 2.5969579474562943e+07 2.5914387534877025e+07 2.5853434487356599e+07 2.5785519790308807e+07 2.5710786162101578e+07 2.5626402992209155e+07 2.5531794521338422e+07 2.5425587969359614e+07 2.5306306009246290e+07 2.5172425137261245e+07 2.5022417220177423e+07 2.4854593130889464e+07 2.4669186709750891e+07 2.4462945286306478e+07 2.4236581081649326e+07 2.3990617753840387e+07 2.3726984556311723e+07 2.3448963980849985e+07 2.3162803884171382e+07 2.2877802316156156e+07 2.2609192697626963e+07 2.2376110711584624e+07 2.2208546053882215e+07 2.2148269296993963e+07 2.2255985782642808e+07 2.2620034449472509e+07 2.3374282422830936e+07 2.4730645237184413e+07 2.7046213415192239e+07 4.4886797266954435e+06 +1.1402934311437480e+01 9.4378477224150732e+07 9.4368999655436888e+07 9.4352886955511481e+07 9.4331299953052878e+07 9.4308655034504682e+07 9.4292168356350601e+07 9.4285196744529903e+07 9.4282173228136659e+07 9.4277160109913781e+07 9.4268530661234364e+07 9.4256456916578695e+07 9.4240502169299379e+07 9.4219896994853452e+07 9.4193844492424712e+07 9.4161496421308875e+07 9.4121822182897836e+07 9.4073586257546291e+07 9.4015348595931560e+07 9.3945425417445228e+07 9.3861831999132156e+07 9.3762245304382861e+07 9.3643897610783994e+07 9.3502974235672385e+07 9.3332918350675970e+07 9.3126577692768887e+07 9.2880352119081348e+07 9.2590218491968319e+07 9.2249837256539926e+07 9.1851450433588639e+07 9.1386214209385782e+07 9.0844210773466364e+07 9.0214426097449258e+07 8.9484767941565141e+07 8.8642147614377841e+07 8.7672655840630844e+07 8.6561843436249271e+07 8.5295164530379802e+07 8.3858595852685407e+07 8.2239481000965446e+07 8.0427584453918070e+07 7.8258525245971963e+07 7.5858062166523084e+07 7.3233841240677983e+07 7.0404451797625542e+07 6.7400697526141718e+07 6.4265731473122455e+07 6.1053626711393185e+07 5.7826172927901037e+07 5.4648136997855857e+07 5.1581287499485269e+07 4.8678729377428874e+07 4.5981462243088737e+07 4.3516316072835587e+07 4.1293222157799490e+07 3.9309124634803921e+07 3.7552128280306213e+07 3.6003830933585219e+07 3.4643459162671439e+07 3.3449619051794972e+07 3.2403247504991919e+07 3.1486184240370218e+07 3.0683864050987609e+07 2.9982453929948792e+07 2.9371888043301418e+07 2.8842047355318349e+07 2.8384447332403418e+07 2.7992502716383431e+07 2.7659237670995560e+07 2.7377928261541620e+07 2.7143664488975193e+07 2.6950331699459232e+07 2.6793490418108463e+07 2.6668027856136605e+07 2.6569549329666972e+07 2.6492087355952740e+07 2.6429826766538862e+07 2.6378440793672264e+07 2.6333817153417423e+07 2.6291908571798541e+07 2.6262317043798830e+07 2.6232458611252487e+07 2.6202001460265853e+07 2.6170103935534529e+07 2.6137199345365886e+07 2.6102342043098424e+07 2.6066700208179742e+07 2.6027100249163214e+07 2.5984719705893513e+07 2.5938778691801399e+07 2.5888668211212207e+07 2.5833648233683977e+07 2.5772885097566936e+07 2.5705182026535381e+07 2.5630681170537069e+07 2.5546560911030438e+07 2.5452247208499338e+07 2.5346371559877153e+07 2.5227461240886021e+07 2.5093997494479015e+07 2.4944456948512454e+07 2.4777155762593538e+07 2.4592326929552156e+07 2.4386728079438783e+07 2.4161069143000573e+07 2.3915872146810461e+07 2.3653060333558407e+07 2.3375905968034759e+07 2.3090637441076893e+07 2.2806523855478927e+07 2.2538751061218742e+07 2.2306395274687074e+07 2.2139352689545233e+07 2.2079263758573614e+07 2.2186644646195188e+07 2.2549559070865311e+07 2.3301457090191636e+07 2.4653594023620415e+07 2.6961947685563602e+07 4.4722768188328408e+06 +1.1407902634211739e+01 9.4137623633833945e+07 9.4128170124763101e+07 9.4112097509920865e+07 9.4090563587245047e+07 9.4067972897058487e+07 9.4051522396515235e+07 9.4044560460229561e+07 9.4041534517736375e+07 9.4036521912436202e+07 9.4027899542275727e+07 9.4015838438497856e+07 9.3999902455997676e+07 9.3979323492418662e+07 9.3953305903894156e+07 9.3921002733101606e+07 9.3881384985794753e+07 9.3833219062461063e+07 9.3775067110645354e+07 9.3705247924541086e+07 9.3621779840779200e+07 9.3522343426497698e+07 9.3404175309798971e+07 9.3263467016381174e+07 9.3093672422111616e+07 9.2887649954942673e+07 9.2641804843700916e+07 9.2352121299710393e+07 9.2012270812522739e+07 9.1614508797657892e+07 9.1150007004561990e+07 9.0608865543893099e+07 8.9980090929630384e+07 8.9251614336251929e+07 8.8410373567984790e+07 8.7442489042239875e+07 8.6333544480793282e+07 8.5069029903162137e+07 8.3634960392452464e+07 8.2018719368036121e+07 8.0210111065503001e+07 7.8045089482312530e+07 7.5649224636658505e+07 7.3030188519138634e+07 7.0206576558329985e+07 6.7209171671524867e+07 6.4081073295475945e+07 6.0876264837740451e+07 5.7656411574770793e+07 5.4486128064102173e+07 5.1427015948294207e+07 4.8532015020204045e+07 4.5841974980446741e+07 4.3383603812491596e+07 4.1166755177104138e+07 3.9188334858762957e+07 3.7436441053107329e+07 3.5892692649729885e+07 3.4536352845038667e+07 3.3346073900299471e+07 3.2302837722415652e+07 3.1388531001802746e+07 3.0588627430441815e+07 2.9889332970787801e+07 2.9280610253609899e+07 2.8752369958494358e+07 2.8296152723687805e+07 2.7905392798554271e+07 2.7573135491410192e+07 2.7292677271966107e+07 2.7059122913574859e+07 2.6866376488719113e+07 2.6710011755794130e+07 2.6584931388380259e+07 2.6486753787541457e+07 2.6409529431890413e+07 2.6347460759998970e+07 2.6296233838442512e+07 2.6251748732010134e+07 2.6209970554092195e+07 2.6180471201912567e+07 2.6150705807913050e+07 2.6120343574528884e+07 2.6088545461249404e+07 2.6055743422606107e+07 2.6020994783045702e+07 2.5985463955891032e+07 2.5945987414804123e+07 2.5903738955015797e+07 2.5857941120417088e+07 2.5807986813236255e+07 2.5753138309294939e+07 2.5692564545043141e+07 2.5625072498636000e+07 2.5550803753889188e+07 2.5466945657827541e+07 2.5372925886193182e+07 2.5267380200803205e+07 2.5148840467102081e+07 2.5015792661213242e+07 2.4866718158571944e+07 2.4699938390351918e+07 2.4515685504791401e+07 2.4310727402482089e+07 2.4085771730602846e+07 2.3841338888925072e+07 2.3579346126408517e+07 2.3303055509925824e+07 2.3018676019754283e+07 2.2735447893720001e+07 2.2468509546629384e+07 2.2236877896474611e+07 2.2070355900706507e+07 2.2010454261910159e+07 2.2117500504885375e+07 2.2479283909749962e+07 2.3228838651203651e+07 2.4576761709140703e+07 2.6877921351564433e+07 4.4559313153371727e+06 +1.1412870956985998e+01 9.3897271490227014e+07 9.3887841593968749e+07 9.3871809271117091e+07 9.3850328297268510e+07 9.3827791746907532e+07 9.3811377366962641e+07 9.3804425110002622e+07 9.3801396779098168e+07 9.3796384724035770e+07 9.3787769464264095e+07 9.3775721031737283e+07 9.3759803843447164e+07 9.3739251118611082e+07 9.3713268470144346e+07 9.3681010224083036e+07 9.3641448990395322e+07 9.3593353089466065e+07 9.3535286866300792e+07 9.3465571689607576e+07 9.3382228955599084e+07 9.3282942835327640e+07 9.3164954306894600e+07 9.3024461102739051e+07 9.2854927800124690e+07 9.2649223520217732e+07 9.2403758864940748e+07 9.2114525389872774e+07 9.1775205623577505e+07 9.1378068370539129e+07 9.0914300936046571e+07 9.0374021341572046e+07 8.9746256629325286e+07 8.9018961369435206e+07 8.8179099836193204e+07 8.7212822107098252e+07 8.6105744766033649e+07 8.4843393667441159e+07 8.3411822177330405e+07 8.1798453449416339e+07 7.9993131370063484e+07 7.7832144550624952e+07 7.5440874191822276e+07 7.2827018059955567e+07 7.0009177493540257e+07 6.7018114470981695e+07 6.3896874701831572e+07 6.0699351891331069e+07 5.7487086974948384e+07 5.4324542382452361e+07 5.1273153122297458e+07 4.8385694221023865e+07 4.5702865902144194e+07 4.3251254588978708e+07 4.1040636670593463e+07 3.9067879851041317e+07 3.7321075926627710e+07 3.5781864922444388e+07 3.4429546678104572e+07 3.3242819591765359e+07 3.2202710512255292e+07 3.1291153015465960e+07 3.0493659614533577e+07 2.9796475152279314e+07 2.9189590658855043e+07 2.8662946454975061e+07 2.8208108286427811e+07 2.7818529860521909e+07 2.7487277573537312e+07 2.7207668244857673e+07 2.6974821381021000e+07 2.6782659729626622e+07 2.6626770247617655e+07 2.6502071029330507e+07 2.6404193526561655e+07 2.6327206131154168e+07 2.6265328841158174e+07 2.6214260523898061e+07 2.6169913560021598e+07 2.6128265416110799e+07 2.6098857977986142e+07 2.6069185358157292e+07 2.6038917772627611e+07 2.6007218788237628e+07 2.5974519009636134e+07 2.5939878723809369e+07 2.5904458589174379e+07 2.5865105115285743e+07 2.5822988363539327e+07 2.5777333301469810e+07 2.5727534723795619e+07 2.5672857206067465e+07 2.5612472275414325e+07 2.5545190653788619e+07 2.5471153360865168e+07 2.5387556683132816e+07 2.5293830006960869e+07 2.5188613346984435e+07 2.5070443145301472e+07 2.4937810097738452e+07 2.4789200313830953e+07 2.4622940481268320e+07 2.4439261906562164e+07 2.4234942730916746e+07 2.4010688324791685e+07 2.3767017465740997e+07 2.3505841426059030e+07 2.3230412103739817e+07 2.2946919123543363e+07 2.2664573940356437e+07 2.2398467669059925e+07 2.2167558097160380e+07 2.2001555211137243e+07 2.1941840332106333e+07 2.2048552881543543e+07 2.2409208481132150e+07 2.3156426604684964e+07 2.4500147763470933e+07 2.6794133833249848e+07 4.4396430271749850e+06 +1.1417839279760257e+01 9.3657419795398533e+07 9.3648013677034423e+07 9.3632021567130059e+07 9.3610593512542367e+07 9.3588110999870330e+07 9.3571732685184479e+07 9.3564790111171305e+07 9.3561759429334864e+07 9.3556747961642846e+07 9.3548139843914717e+07 9.3536104112990573e+07 9.3520205748063847e+07 9.3499679289608002e+07 9.3473731606848121e+07 9.3441518309345990e+07 9.3402013611217514e+07 9.3353987752762243e+07 9.3296007276250124e+07 9.3226396125125736e+07 9.3143178755158514e+07 9.3044042941196531e+07 9.2926234011000142e+07 9.2785955902092919e+07 9.2616683890211672e+07 9.2411297791698933e+07 9.2166213583236724e+07 9.1877430159576625e+07 9.1538641082947001e+07 9.1142128541206032e+07 9.0679095387685955e+07 9.0139677544301629e+07 8.9512922567596704e+07 8.8786808404194742e+07 8.7948325773366287e+07 8.6983654379127428e+07 8.5878443624543399e+07 8.4618255142829508e+07 8.3189180512707382e+07 8.1578682534760177e+07 7.9776644640429765e+07 7.7619689704542309e+07 7.5233010065634429e+07 7.2624329076662794e+07 6.9812253797335908e+07 6.6827525100889295e+07 6.3713134853459790e+07 6.0522887022281609e+07 5.7318198272265933e+07 5.4163379095594570e+07 5.1119698168780290e+07 4.8239766137084983e+07 4.5564134180013776e+07 4.3119267592090525e+07 4.0914865848302148e+07 3.8947758843182728e+07 3.7206032154005386e+07 3.5671347025880650e+07 3.4323039955853820e+07 3.3139855438491888e+07 3.2102865203550205e+07 3.1194049625525668e+07 3.0398959960923180e+07 2.9703879843978081e+07 2.9098828639101841e+07 2.8573776234035645e+07 2.8120313417921394e+07 2.7731913306423083e+07 2.7401663327441849e+07 2.7122900595211655e+07 2.6890759310566053e+07 2.6699180844860844e+07 2.6543765319109585e+07 2.6419446206922155e+07 2.6321867976511359e+07 2.6245116885047972e+07 2.6183430442536980e+07 2.6132520283620048e+07 2.6088311071988571e+07 2.6046792593272146e+07 2.6017476808081035e+07 2.5987896698694728e+07 2.5957723491941758e+07 2.5926123354558364e+07 2.5893525545204360e+07 2.5858993304882359e+07 2.5823683548369434e+07 2.5784452791675013e+07 2.5742467373480175e+07 2.5696954677964158e+07 2.5647311386988264e+07 2.5592804369266827e+07 2.5532607735277928e+07 2.5465535939949285e+07 2.5391729441097770e+07 2.5308393438376755e+07 2.5214959024286885e+07 2.5110070454154700e+07 2.4992268733755108e+07 2.4860049265219565e+07 2.4711902878661934e+07 2.4546161503265150e+07 2.4363055606745806e+07 2.4159373541059192e+07 2.3935818406744815e+07 2.3692907363725394e+07 2.3432545724670645e+07 2.3157975247500211e+07 2.2875366256605681e+07 2.2593901505665392e+07 2.2328624944560174e+07 2.2098435397765696e+07 2.1932950145459477e+07 2.1873421495067298e+07 2.1979801299724951e+07 2.2339332300812729e+07 2.3084220450282879e+07 2.4423751657231353e+07 2.6710584551681414e+07 4.4234117658793144e+06 +1.1422807602534515e+01 9.3418068381463006e+07 9.3408686405892357e+07 9.3392733815296575e+07 9.3371358661547258e+07 9.3348930070228681e+07 9.3332587767603174e+07 9.3325654879692495e+07 9.3322621884238541e+07 9.3317611040802673e+07 9.3309010096493423e+07 9.3296987097214669e+07 9.3281107584628493e+07 9.3260607419814780e+07 9.3234694728135988e+07 9.3202526402651221e+07 9.3163078261604100e+07 9.3115122464873642e+07 9.3057227752350897e+07 9.2987720642149046e+07 9.2904628649558991e+07 9.2805643153024495e+07 9.2688013829717740e+07 9.2547950820478663e+07 9.2378940096426681e+07 9.2173872171079099e+07 9.1929168397589132e+07 9.1640835004666254e+07 9.1302576582701191e+07 9.0906688697247565e+07 9.0444389741944566e+07 8.9905833528777152e+07 8.9280088114250302e+07 8.8555154802502483e+07 8.7718050732471049e+07 8.6754985201382652e+07 8.5651640387753651e+07 8.4393613648004949e+07 8.2967034703088924e+07 8.1359405913011521e+07 7.9560650148850173e+07 7.7407724197084591e+07 7.5025631491318211e+07 7.2422120782540157e+07 6.9615804663668647e+07 6.6637402737535603e+07 6.3529852911832884e+07 6.0346869381015457e+07 5.7149744610857688e+07 5.4002637346890032e+07 5.0966650235797785e+07 4.8094229926425293e+07 4.5425778986589499e+07 4.2987642012437433e+07 4.0789441921295799e+07 3.8827971067643076e+07 3.7091308989378676e+07 3.5561138235182554e+07 3.4216831973261155e+07 3.3037180753869772e+07 3.2003301126387082e+07 3.1097220177127495e+07 3.0304527828182314e+07 2.9611546416463289e+07 2.9008323575455524e+07 2.8484858685924508e+07 2.8032767516445130e+07 2.7645542541410368e+07 2.7316292164110273e+07 2.7038373739018116e+07 2.6806936122334655e+07 2.6615939258101076e+07 2.6460996396853078e+07 2.6337056349990893e+07 2.6239776568098556e+07 2.6163261125829048e+07 2.6101764997614544e+07 2.6051012552206188e+07 2.6006940703380208e+07 2.5965551521993160e+07 2.5936327129197974e+07 2.5906839267215133e+07 2.5876760170727763e+07 2.5845258599170402e+07 2.5812762468985904e+07 2.5778337966703255e+07 2.5743138274648231e+07 2.5704029886083100e+07 2.5662175427806318e+07 2.5616804693836272e+07 2.5567316247816008e+07 2.5512979245104998e+07 2.5452970372146931e+07 2.5386107806133326e+07 2.5312531445138801e+07 2.5229455375878997e+07 2.5136312392503690e+07 2.5031750978961479e+07 2.4914316691665381e+07 2.4782509625693582e+07 2.4634825318332091e+07 2.4469600925189614e+07 2.4287066078163221e+07 2.4084019310153041e+07 2.3861161458515424e+07 2.3619008070204001e+07 2.3359458515141964e+07 2.3085744440098628e+07 2.2804016923972838e+07 2.2523430100706097e+07 2.2258980889937438e+07 2.2029509320100918e+07 2.1864540229070980e+07 2.1805197277451735e+07 2.1911245283801872e+07 2.2269654885381013e+07 2.3012219688479271e+07 2.4347572861900616e+07 2.6627272928844322e+07 4.4072373435482830e+06 +1.1427775925308774e+01 9.3179216784488648e+07 9.3169858384245738e+07 9.3153945574553564e+07 9.3132623173182249e+07 9.3110248371124193e+07 9.3093942028849825e+07 9.3087018830121383e+07 9.3083983558260009e+07 9.3078973375781715e+07 9.3070379636172980e+07 9.3058369398299918e+07 9.3042508766584247e+07 9.3022034922389328e+07 9.2996157246761858e+07 9.2964033916376382e+07 9.2924642353274330e+07 9.2876756637063265e+07 9.2818947705045313e+07 9.2749544650329083e+07 9.2666578047449812e+07 9.2567742878467068e+07 9.2450293169289932e+07 9.2310445262469724e+07 9.2141695821509004e+07 9.1936946058949947e+07 9.1692622705743581e+07 9.1404739319520742e+07 9.1067011513565257e+07 9.0671748225008771e+07 9.0210183380122140e+07 8.9672488670321509e+07 8.9047752637892008e+07 8.8323999925217375e+07 8.7488274065498769e+07 8.6526813915631652e+07 8.5425334386092484e+07 8.4169468500778779e+07 8.2745384052044496e+07 8.1140622872458100e+07 7.9345147166860282e+07 7.7196247280821085e+07 7.4818737701642126e+07 7.2220392390327230e+07 6.9419829286239684e+07 6.6447746557176344e+07 6.3347028038492545e+07 6.0171298118342020e+07 5.6981725135393210e+07 5.3842316280217826e+07 5.0814008472137578e+07 4.7949084747924231e+07 4.5287799495463245e+07 4.2856377041737802e+07 4.0664364101619937e+07 3.8708515758083217e+07 3.6976905687988453e+07 3.5451237826563932e+07 3.4110922026373312e+07 3.2934794852255199e+07 3.1904017611872315e+07 3.1000664016507469e+07 3.0210362576018669e+07 2.9519474241306555e+07 2.8918074849962614e+07 2.8396193201948714e+07 2.7945469981198639e+07 2.7559416971565716e+07 2.7231163495480489e+07 2.6954087093241196e+07 2.6723351237503506e+07 2.6532934393931195e+07 2.6378462908247627e+07 2.6254900888343457e+07 2.6157918733032141e+07 2.6081638286639009e+07 2.6020331940808959e+07 2.5969736765082162e+07 2.5925801890635557e+07 2.5884541639521662e+07 2.5855408379310716e+07 2.5826012502256390e+07 2.5796027248233978e+07 2.5764623962014467e+07 2.5732229221628610e+07 2.5697912150648959e+07 2.5662822210126560e+07 2.5623835841418337e+07 2.5582111970375840e+07 2.5536882793969303e+07 2.5487548752223656e+07 2.5433381280686557e+07 2.5373559634403765e+07 2.5306905702178281e+07 2.5233558824429564e+07 2.5150741948929243e+07 2.5057889566924963e+07 2.4953654378930431e+07 2.4836586479120720e+07 2.4705190642091598e+07 2.4557967098976243e+07 2.4393258216785528e+07 2.4211292794500522e+07 2.4008879516243882e+07 2.3786716962997030e+07 2.3545319073312487e+07 2.3286579291266207e+07 2.3013719181263123e+07 2.2732870631440684e+07 2.2453159237401746e+07 2.2189535022814021e+07 2.1960779386760261e+07 2.1796324988143429e+07 2.1737167206705011e+07 2.1842884358952526e+07 2.2200175752222240e+07 2.2940423820573594e+07 2.4271610849858735e+07 2.6544198387712598e+07 4.3911195728436401e+06 +1.1432744248083033e+01 9.2940864212035865e+07 9.2931529020447388e+07 9.2915656279326841e+07 9.2894386471690565e+07 9.2872065315231368e+07 9.2855794882274240e+07 9.2848881375718892e+07 9.2845843864310935e+07 9.2840834379235521e+07 9.2832247875394970e+07 9.2820250428439856e+07 9.2804408706092417e+07 9.2783961209205568e+07 9.2758118574202523e+07 9.2726040261419117e+07 9.2686705296839461e+07 9.2638889679138064e+07 9.2581166543738440e+07 9.2511867558020368e+07 9.2429026356319219e+07 9.2330341523667321e+07 9.2213071434582278e+07 9.2073438631429791e+07 9.1904950466843724e+07 9.1700518854308784e+07 9.1456575903956637e+07 9.1169142497376248e+07 9.0831945265037417e+07 9.0437306509623826e+07 8.9976475682305530e+07 8.9439642343183577e+07 8.8815915505915433e+07 8.8093343132019147e+07 8.7258995123315185e+07 8.6299139862662271e+07 8.5199524949083969e+07 8.3945819017775863e+07 8.2524227862403348e+07 8.0922332700355113e+07 7.9130134965246230e+07 7.6985258207619280e+07 7.4612327928883314e+07 7.2019143112720072e+07 6.9224326858653337e+07 6.6258555736107476e+07 6.3164659395225562e+07 5.9996172385149553e+07 5.6814138990965627e+07 5.3682415040073365e+07 5.0661772027231552e+07 4.7804329761334024e+07 4.5150194881096959e+07 4.2725471872624375e+07 4.0539631602370001e+07 3.8589392149101101e+07 3.6862821506133102e+07 3.5341645077323593e+07 3.4005309412275411e+07 3.2832697049126573e+07 3.1805013992172826e+07 3.0904380490820508e+07 3.0116463565063987e+07 2.9427662691148840e+07 2.8828081845775988e+07 2.8307779174325690e+07 2.7858420212440118e+07 2.7473536003949624e+07 2.7146276734496616e+07 2.6870040075771209e+07 2.6640004078086380e+07 2.6450165677921046e+07 2.6296164281773724e+07 2.6172979252743889e+07 2.6076293903904170e+07 2.6000247801622920e+07 2.5939130707536172e+07 2.5888692358711660e+07 2.5844894071087833e+07 2.5803762384141833e+07 2.5774719997232415e+07 2.5745415843309790e+07 2.5715524164617758e+07 2.5684218883900143e+07 2.5651925244635563e+07 2.5617715298980210e+07 2.5582734797852665e+07 2.5543870101601772e+07 2.5502276445997953e+07 2.5457188424122054e+07 2.5408008347056191e+07 2.5354009924019497e+07 2.5294374971382361e+07 2.5227929078853462e+07 2.5154811031344514e+07 2.5072252611685164e+07 2.4979690003700268e+07 2.4875780112510480e+07 2.4759077557089880e+07 2.4628091778261632e+07 2.4481327687601555e+07 2.4317132848639734e+07 2.4135735230278362e+07 2.3933953638292767e+07 2.3712484403981924e+07 2.3471839862046182e+07 2.3213907547645185e+07 2.2941898971493561e+07 2.2661926885641158e+07 2.2383088428460948e+07 2.2120286861641280e+07 2.1892245121136561e+07 2.1728303949627023e+07 2.1669330811106808e+07 2.1774718051116940e+07 2.2130894419551250e+07 2.2868832348678395e+07 2.4195865094354309e+07 2.6461360352189980e+07 4.3750582669893652e+06 +1.1437712570857292e+01 9.2703010217668563e+07 9.2693697984073088e+07 9.2677865273225412e+07 9.2656647969052553e+07 9.2634380314810142e+07 9.2618145739659339e+07 9.2611241928294137e+07 9.2608202214132428e+07 9.2603193462601990e+07 9.2594614225312889e+07 9.2582629598723188e+07 9.2566806813856840e+07 9.2546385690597311e+07 9.2520578120431170e+07 9.2488544847457781e+07 9.2449266501191169e+07 9.2401520999673054e+07 9.2343883676068798e+07 9.2274688772282228e+07 9.2191972982073128e+07 9.2093438493518144e+07 9.1976348029128075e+07 9.1836930329250664e+07 9.1668703432532296e+07 9.1464589954988495e+07 9.1221027387449950e+07 9.0934043930131376e+07 9.0597377225140110e+07 9.0203362934897736e+07 8.9743266027150244e+07 8.9207293920288682e+07 8.8584576084584057e+07 8.7863183781443700e+07 8.7030213255517468e+07 8.6071962382186145e+07 8.4974211405088082e+07 8.3722664514911443e+07 8.2303565435833126e+07 8.0704534683310464e+07 7.8915612814091697e+07 7.6774756228726685e+07 7.4406401404839948e+07 7.1818372161953613e+07 6.9029296574324295e+07 6.6069829450602591e+07 6.2982746143866122e+07 5.9821491332925782e+07 5.6646985323126167e+07 5.3522932771675408e+07 5.0509940051342443e+07 4.7659964127211049e+07 4.5012964318872020e+07 4.2594925698727131e+07 4.0415243637624890e+07 3.8470599476388358e+07 3.6749055701144606e+07 3.5232359265799381e+07 3.3899993429149218e+07 3.2730886660967868e+07 3.1706289600494541e+07 3.0808368948392387e+07 3.0022830157024529e+07 2.9336111139558028e+07 2.8738343946885034e+07 2.8219615996283498e+07 2.7771617611311298e+07 2.7387899046619728e+07 2.7061631295065545e+07 2.6786232105458539e+07 2.6556894067146346e+07 2.6367632536574114e+07 2.6214099946766239e+07 2.6091290874880750e+07 2.5994901514277454e+07 2.5919089105853252e+07 2.5858160734061617e+07 2.5807878770421758e+07 2.5764216683066241e+07 2.5723213195010249e+07 2.5694261422804493e+07 2.5665048730848975e+07 2.5635250360988423e+07 2.5604042806605577e+07 2.5571849980511867e+07 2.5537746854946483e+07 2.5502875481815342e+07 2.5464132111469779e+07 2.5422668300411172e+07 2.5377721031020738e+07 2.5328694480101824e+07 2.5274864624081526e+07 2.5215415833353154e+07 2.5149177387864359e+07 2.5076287519154999e+07 2.4993986819189165e+07 2.4901713159924962e+07 2.4798127639035799e+07 2.4681789387452379e+07 2.4551212498944461e+07 2.4404906552167121e+07 2.4241224292245854e+07 2.4060392860951450e+07 2.3859241156101413e+07 2.3638463266073015e+07 2.3398569926274125e+07 2.3141442779758602e+07 2.2870283312200584e+07 2.2591185194033850e+07 2.2313217187391907e+07 2.2051235925626934e+07 2.1823906047408745e+07 2.1660476641253810e+07 2.1601687619681738e+07 2.1706745887080275e+07 2.2061810406356588e+07 2.2797444775780067e+07 2.4120335069484390e+07 2.6378758247177035e+07 4.3590532397702402e+06 +1.1442680893631550e+01 9.2465653714633241e+07 9.2456364965525672e+07 9.2440571895720184e+07 9.2419407062855676e+07 9.2397192782018796e+07 9.2380994011508450e+07 9.2374099898418084e+07 9.2371058017937019e+07 9.2366050036024570e+07 9.2357478095964521e+07 9.2345506318642810e+07 9.2329702499174595e+07 9.2309307775540218e+07 9.2283535294111714e+07 9.2251547082734078e+07 9.2212325374250129e+07 9.2164650005750209e+07 9.2107098508423731e+07 9.2038007698676333e+07 9.1955417329420090e+07 9.1857033191574797e+07 9.1740122355069220e+07 9.1600919756557301e+07 9.1432954117309377e+07 9.1229158757441163e+07 9.0985976549919263e+07 9.0699443008417293e+07 9.0363306780865669e+07 8.9969916883296847e+07 8.9510553792374015e+07 8.8975442773331627e+07 8.8353733739040732e+07 8.7633521230925798e+07 8.6801927810874477e+07 8.5845280812923625e+07 8.4749393081610888e+07 8.3500004307063371e+07 8.2083396073578194e+07 8.0487228107207537e+07 7.8701579982789069e+07 7.6564740595023140e+07 7.4200957360931858e+07 7.1618078749996588e+07 6.8834737626474932e+07 6.5881566876942106e+07 6.2801287446535870e+07 5.9647254113311701e+07 5.6480263277919829e+07 5.3363868620752133e+07 5.0358511695466027e+07 4.7515987006960213e+07 4.4876106985112816e+07 4.2464737714618333e+07 4.0291199422473267e+07 3.8352136976625033e+07 3.6635607531415671e+07 3.5123379671403520e+07 3.3794973376205184e+07 3.2629363005314004e+07 3.1607843771045171e+07 3.0712628738447268e+07 2.9929461714572214e+07 2.9244818961117961e+07 2.8648860538414828e+07 2.8131703062062360e+07 2.7685061580025475e+07 2.7302505508596517e+07 2.6977226592032213e+07 2.6702662602137722e+07 2.6474020628669418e+07 2.6285334397352789e+07 2.6132269333551366e+07 2.6009835187396180e+07 2.5913740998673249e+07 2.5838161635310873e+07 2.5777421457635041e+07 2.5727295438548878e+07 2.5683769165747654e+07 2.5642893512267053e+07 2.5614032096792076e+07 2.5584910606240712e+07 2.5555205279349741e+07 2.5524095172864813e+07 2.5492002872674648e+07 2.5458006262690268e+07 2.5423243706917968e+07 2.5384621316748217e+07 2.5343286980266806e+07 2.5298480062282857e+07 2.5249606600055978e+07 2.5195944830726922e+07 2.5136681671449941e+07 2.5070650081808977e+07 2.4997987742059503e+07 2.4915944027474742e+07 2.4823958493593629e+07 2.4720696418771893e+07 2.4604721433000654e+07 2.4474552269734196e+07 2.4328703161430825e+07 2.4165532019987725e+07 2.3985265162816953e+07 2.3784741550378755e+07 2.3564653034757525e+07 2.3325508756693557e+07 2.3069184483924404e+07 2.2798871705590039e+07 2.2520645064920377e+07 2.2243545028548460e+07 2.1982381734825231e+07 2.1755761690582801e+07 2.1592842591601633e+07 2.1534237162242990e+07 2.1638967394318294e+07 2.1992923232446950e+07 2.2726260605682887e+07 2.4045020250256754e+07 2.6296391498501733e+07 4.3431043055304149e+06 +1.1447649216405809e+01 9.2228794350059733e+07 9.2219529121470094e+07 9.2203775538903847e+07 9.2182663141732529e+07 9.2160502128076583e+07 9.2144339106882587e+07 9.2137454695153296e+07 9.2134410684636280e+07 9.2129403508093476e+07 9.2120838895665139e+07 9.2108879996642128e+07 9.2093095170120403e+07 9.2072726871818319e+07 9.2046989502560452e+07 9.2015046374032199e+07 9.1975881322274938e+07 9.1928276103245318e+07 9.1870810446038425e+07 9.1801823741513595e+07 9.1719358801639900e+07 9.1621125020082414e+07 9.1504393813424170e+07 9.1365406312781289e+07 9.1197701918569684e+07 9.0994224656946242e+07 9.0751422783903331e+07 9.0465339121456355e+07 9.0129733317821681e+07 8.9736967736280575e+07 8.9278338354160607e+07 8.8744088272961095e+07 8.8123387833112702e+07 8.7404354836727604e+07 8.6574138136866912e+07 8.5619094492482960e+07 8.4525069305089340e+07 8.3277837708313763e+07 8.1863719075654462e+07 8.0270412257015407e+07 7.8488035740200400e+07 7.6355210556560263e+07 7.3995995028139099e+07 7.1418262088468075e+07 6.8640649208267197e+07 6.5693767191344991e+07 6.2620282465382345e+07 5.9473459878349908e+07 5.6313972001946799e+07 5.3205221733705252e+07 5.0207486111305520e+07 4.7372397562829599e+07 4.4739622057064772e+07 4.2334907115944207e+07 4.0167498173161417e+07 3.8234003887609378e+07 3.6522476256385930e+07 3.5014705574575439e+07 3.3690248553694531e+07 3.2528125400784563e+07 3.1509675839138042e+07 3.0617159211307865e+07 2.9836357601423379e+07 2.9153785531453323e+07 2.8559631006428927e+07 2.8044039766871944e+07 2.7598751521739859e+07 2.7217354799867753e+07 2.6893062041228462e+07 2.6619330986625064e+07 2.6391383187619504e+07 2.6203270688692242e+07 2.6050671873431813e+07 2.5928611623892177e+07 2.5832811792537391e+07 2.5757464826950051e+07 2.5696912316490903e+07 2.5646941802305192e+07 2.5603550959336307e+07 2.5562802776930027e+07 2.5534031460821934e+07 2.5505000911813326e+07 2.5475388362686343e+07 2.5444375426296759e+07 2.5412383365412459e+07 2.5378492967284333e+07 2.5343838919001188e+07 2.5305337164153766e+07 2.5264131933128357e+07 2.5219464966464970e+07 2.5170744156552535e+07 2.5117249994757079e+07 2.5058171937792081e+07 2.4992346614211746e+07 2.4919911155162297e+07 2.4838123693419375e+07 2.4746425463606685e+07 2.4643485912870694e+07 2.4527873157402813e+07 2.4398110557168528e+07 2.4252716985129591e+07 2.4090055505084783e+07 2.3910351613065448e+07 2.3710454302645732e+07 2.3491053196396895e+07 2.3252655844897892e+07 2.2997132157269862e+07 2.2727663654689010e+07 2.2450306007385615e+07 2.2174071467051182e+07 2.1913723810058955e+07 2.1687811576431904e+07 2.1525401329983342e+07 2.1466978969407506e+07 2.1571382101186998e+07 2.1924232418451041e+07 2.2655279342988774e+07 2.3969920112569764e+07 2.6214259532960001e+07 4.3272112791720172e+06 +1.1452617539180068e+01 9.1992431524599671e+07 9.1983189890383139e+07 9.1967475654655188e+07 9.1946415592909187e+07 9.1924307763062656e+07 9.1908180433221698e+07 9.1901305726442367e+07 9.1898259621834740e+07 9.1893253286237299e+07 9.1884696031645596e+07 9.1872750039573297e+07 9.1856984233342201e+07 9.1836642385869130e+07 9.1810940151852250e+07 9.1779042126993448e+07 9.1739933750413924e+07 9.1692398696637958e+07 9.1635018892718121e+07 9.1566136303746074e+07 9.1483796800918579e+07 9.1385713379782930e+07 9.1269161803630665e+07 9.1130389395771518e+07 9.0962946232589170e+07 9.0759787047262773e+07 9.0517365480641618e+07 9.0231731657469079e+07 8.9896656220411748e+07 8.9504514873985067e+07 8.9046619087804541e+07 8.8513229788620248e+07 8.7893537729633406e+07 8.7175683954028815e+07 8.6346843580013201e+07 8.5393402757533222e+07 8.4301239401146322e+07 8.3056164031660333e+07 8.1644533741497934e+07 8.0054086417115137e+07 7.8274979354373649e+07 7.6146165363162294e+07 7.3791513636972547e+07 7.1218921388853192e+07 6.8447030512696311e+07 6.5506429570204854e+07 6.2439730362932660e+07 5.9300107780312970e+07 5.6148110642165601e+07 5.3046991257483207e+07 5.0056862451317184e+07 4.7229194957944021e+07 4.4603508712872460e+07 4.2205433099237725e+07 4.0044139106816210e+07 3.8116199448175006e+07 3.6409661136613511e+07 3.4906336256857365e+07 3.3585818262989148e+07 3.2427173166985556e+07 3.1411785141064692e+07 3.0521959718309212e+07 2.9743517182352189e+07 2.9063010227215424e+07 2.8470654737993114e+07 2.7956625506926555e+07 2.7512686840566009e+07 2.7132446331390653e+07 2.6809137059463531e+07 2.6536236680642325e+07 2.6308981169876423e+07 2.6121440839969549e+07 2.5969306998588800e+07 2.5847619618902907e+07 2.5752113332277521e+07 2.5676998118700728e+07 2.5616632749721516e+07 2.5566817301879276e+07 2.5523561504949830e+07 2.5482940431031439e+07 2.5454258957560711e+07 2.5425319090803396e+07 2.5395799054871511e+07 2.5364883011483099e+07 2.5332990904062763e+07 2.5299206414745722e+07 2.5264660564826738e+07 2.5226279101258937e+07 2.5185202607522201e+07 2.5140675193076558e+07 2.5092106600115463e+07 2.5038779567903277e+07 2.4979886085357875e+07 2.4914266439529151e+07 2.4842057214489792e+07 2.4760525274799187e+07 2.4669113529755510e+07 2.4566495583358131e+07 2.4451244025253695e+07 2.4321886828636982e+07 2.4176947493838962e+07 2.4014794221717216e+07 2.3835651689730480e+07 2.3636378895361573e+07 2.3417663238204725e+07 2.3180010683285341e+07 2.2925285297802195e+07 2.2656658663400874e+07 2.2380167531391129e+07 2.2104796018894982e+07 2.1845261672986791e+07 2.1620055231500920e+07 2.1458152386527225e+07 2.1399912572570093e+07 2.1503989536807261e+07 2.1855737485753499e+07 2.2584500493166588e+07 2.3895034133180261e+07 2.6132361778355751e+07 4.3113739761537239e+06 +1.1457585861954326e+01 9.1756564984677330e+07 9.1747346609145492e+07 9.1731671710086063e+07 9.1710663808558702e+07 9.1688609094910502e+07 9.1672517396886766e+07 9.1665652398774415e+07 9.1662604235691831e+07 9.1657598776438996e+07 9.1649048909780160e+07 9.1637115852997020e+07 9.1621369094227210e+07 9.1601053722581029e+07 9.1575386646660864e+07 9.1543533745939150e+07 9.1504482062452897e+07 9.1457017188982114e+07 9.1399723250841603e+07 9.1330944787189394e+07 9.1248730727761582e+07 9.1150797670499116e+07 9.1034425724063218e+07 9.0895868402405560e+07 9.0728686454179123e+07 9.0525845321235329e+07 9.0283804030112416e+07 8.9998620003177166e+07 8.9664074871878222e+07 8.9272557675257996e+07 8.8815395367204696e+07 8.8282866688488305e+07 8.7664182790242344e+07 8.6947507936863527e+07 8.6120043485779047e+07 8.5168204943683177e+07 8.4077902694207177e+07 8.2834982589338288e+07 8.1425839369544774e+07 7.9838249871085808e+07 7.8062410092771739e+07 7.5937604263915569e+07 7.3587512417638764e+07 7.1020055862158239e+07 6.8253880732566521e+07 6.5319553189767092e+07 6.2259630301691987e+07 5.9127196972007878e+07 5.5982678346140221e+07 5.2889176339810900e+07 4.9906639868791699e+07 4.7086378356303900e+07 4.4467766131691873e+07 4.2076314862145513e+07 3.9921121441667423e+07 3.7998722898203708e+07 3.6297161433667466e+07 3.4798271000831917e+07 3.3481681806448020e+07 3.2326505624648675e+07 3.1314171014172208e+07 3.0427029611809801e+07 2.9650939823075209e+07 2.8972492425994150e+07 2.8381931121160377e+07 2.7869459679407362e+07 2.7426866941646215e+07 2.7047779515107807e+07 2.6725451064495984e+07 2.6453379106928769e+07 2.6226814002337195e+07 2.6039844281524032e+07 2.5888174142229453e+07 2.5766858607947305e+07 2.5671645055238307e+07 2.5596760949364837e+07 2.5536582197434217e+07 2.5486921378429875e+07 2.5443800244631480e+07 2.5403305917459801e+07 2.5374714030532617e+07 2.5345864587397557e+07 2.5316436800769001e+07 2.5285617373914171e+07 2.5253824934800014e+07 2.5220146052024670e+07 2.5185708092109673e+07 2.5147446576617323e+07 2.5106498452871181e+07 2.5062110192501094e+07 2.5013693382223025e+07 2.4960533002764415e+07 2.4901823568088606e+07 2.4836409013115961e+07 2.4764425376975946e+07 2.4683148230375044e+07 2.4592022152789488e+07 2.4489724893225960e+07 2.4374833502018817e+07 2.4245880552490640e+07 2.4101394159014307e+07 2.3939747644891270e+07 2.3761164871770348e+07 2.3562514811779529e+07 2.3344482648257341e+07 2.3107572765116163e+07 2.2853643404365323e+07 2.2585856236408755e+07 2.2310229147667218e+07 2.2035718200830325e+07 2.1776994846037377e+07 2.1552492183209356e+07 2.1391095292141937e+07 2.1333037503909752e+07 2.1436789231085874e+07 2.1787437956608187e+07 2.2513923562492888e+07 2.3820361789721407e+07 2.6050697663363084e+07 4.2955922124893423e+06 +1.1462554184728585e+01 9.1521193506396264e+07 9.1511998603811204e+07 9.1496363090918645e+07 9.1475407190434471e+07 9.1453405529521227e+07 9.1437349402748182e+07 9.1430494117203861e+07 9.1427443931251958e+07 9.1422439383500963e+07 9.1413896934576690e+07 9.1401976841305062e+07 9.1386249156810164e+07 9.1365960285771087e+07 9.1340328390266582e+07 9.1308520633686259e+07 9.1269525660688594e+07 9.1222130982289240e+07 9.1164922921637833e+07 9.1096248591991514e+07 9.1014159981810629e+07 9.0916377290380910e+07 9.0800184971628785e+07 9.0661842728024200e+07 9.0494921976939783e+07 9.0292398870117173e+07 9.0050737820977196e+07 8.9766003544314116e+07 8.9431988654083043e+07 8.9041095517850921e+07 8.8584666565158889e+07 8.8052998339685306e+07 8.7435322375505954e+07 8.6719826138244659e+07 8.5893737198489398e+07 8.4943500385554954e+07 8.3855058508033544e+07 8.2614292692666024e+07 8.1207635257648319e+07 7.9622901901740044e+07 7.7850327222279057e+07 7.5729526507387474e+07 7.3383990599818334e+07 7.0821664719338417e+07 6.8061199060708106e+07 6.5133137226520583e+07 6.2079981444509491e+07 5.8954726606446251e+07 5.5817674261886880e+07 5.2731776128917545e+07 4.9756817517664909e+07 4.6943946922661878e+07 4.4332393493544072e+07 4.1947551603225835e+07 3.9798444396953084e+07 3.7881573478617914e+07 3.6184976410206228e+07 3.4690509090171196e+07 3.3377838487555102e+07 3.2226122095524527e+07 3.1216832796888407e+07 3.0332368245235387e+07 2.9558624890402898e+07 2.8882231506479133e+07 2.8293459545022137e+07 2.7782541682492595e+07 2.7341291231093585e+07 2.6963353763955291e+07 2.6642003475079246e+07 2.6370757689166263e+07 2.6144881112828739e+07 2.5958480444635924e+07 2.5807272738507036e+07 2.5686328027444310e+07 2.5591406399693161e+07 2.5516752758770447e+07 2.5456760100621808e+07 2.5407253473984338e+07 2.5364266621341810e+07 2.5323898680128198e+07 2.5295396124244921e+07 2.5266636846741248e+07 2.5237301046109043e+07 2.5206577960072413e+07 2.5174884904755238e+07 2.5141311327021327e+07 2.5106980949464645e+07 2.5068839039695799e+07 2.5028018919552661e+07 2.4983769416087598e+07 2.4935503955300529e+07 2.4882509752938177e+07 2.4823983840812717e+07 2.4758773791250177e+07 2.4687015100474093e+07 2.4605992019758768e+07 2.4515150794319324e+07 2.4413173306331716e+07 2.4298641054093812e+07 2.4170091197894342e+07 2.4026056453062192e+07 2.3864915250508517e+07 2.3686890638988096e+07 2.3488861536082707e+07 2.3271510915484879e+07 2.3035341584528640e+07 2.2782205976629090e+07 2.2515255879276726e+07 2.2240490367796082e+07 2.1966837530467413e+07 2.1708922852481674e+07 2.1485121959694121e+07 2.1324229578526594e+07 2.1266353296421029e+07 2.1369780714717086e+07 2.1719333354014851e+07 2.2443548058119081e+07 2.3745902560724236e+07 2.5969266617717184e+07 4.2798658047464192e+06 +1.1467522507502844e+01 9.1286317380727276e+07 9.1277145535719544e+07 9.1261549186389357e+07 9.1240645151129916e+07 9.1218696470438883e+07 9.1202675854325175e+07 9.1195830285766497e+07 9.1192778112093434e+07 9.1187774510741308e+07 9.1179239509193301e+07 9.1167332407488137e+07 9.1151623823869228e+07 9.1131361477886751e+07 9.1105764784810185e+07 9.1074002191943645e+07 9.1035063946490377e+07 9.0987739477064312e+07 9.0930617305046201e+07 9.0862047117433220e+07 9.0780083961073399e+07 9.0682451636581630e+07 9.0566438942216560e+07 9.0428311766942456e+07 9.0261652193322822e+07 9.0059447084120020e+07 8.9818166240794420e+07 8.9533881665113792e+07 8.9200396947808817e+07 8.8810127778312400e+07 8.8354432053358495e+07 8.7823624108209431e+07 8.7206955844789714e+07 8.6492637910121724e+07 8.5667924061572567e+07 8.4719288416858345e+07 8.3632706165288106e+07 8.2394093652115121e+07 8.0989920702654094e+07 7.9408041791261941e+07 7.7638730009109855e+07 7.5521931341648400e+07 7.3180947412885129e+07 7.0623747170952141e+07 6.7868984689698234e+07 6.4947180856807336e+07 6.1900782954386510e+07 5.8782695837085433e+07 5.5653097537947230e+07 5.2574789773796715e+07 4.9607394552744485e+07 4.6801899822813742e+07 4.4197389979455978e+07 4.1819142522055052e+07 3.9676107192974895e+07 3.7764750431398183e+07 3.6073105329961367e+07 3.4583049809617110e+07 3.3274287610808220e+07 3.2126021902400367e+07 3.1119769828655038e+07 3.0237974972998764e+07 2.9466571752120137e+07 2.8792226848278012e+07 2.8205239399643824e+07 2.7695870915379085e+07 2.7255959115982503e+07 2.6879168491831228e+07 2.6558793710922599e+07 2.6288371852000214e+07 2.6063181930143442e+07 2.5877348761530932e+07 2.5726602222456381e+07 2.5606027314806741e+07 2.5511396804920491e+07 2.5436972987632085e+07 2.5377165901300374e+07 2.5327813031586394e+07 2.5284960079052549e+07 2.5244718163803987e+07 2.5216304684139848e+07 2.5187635314885750e+07 2.5158391237631377e+07 2.5127764217302009e+07 2.5096170262022506e+07 2.5062701688509230e+07 2.5028478586457364e+07 2.4990455940888371e+07 2.4949763458862521e+07 2.4905652316087719e+07 2.4857537772631917e+07 2.4804709272900518e+07 2.4746366359294076e+07 2.4681360231129590e+07 2.4609825843752906e+07 2.4529056103484832e+07 2.4438498916877899e+07 2.4336840287453070e+07 2.4222666148749698e+07 2.4094518234961405e+07 2.3950933849220410e+07 2.3790296515366666e+07 2.3612828472103558e+07 2.3415418553308781e+07 2.3198747529688422e+07 2.2963316636491377e+07 2.2710972515137866e+07 2.2444857098376196e+07 2.2170950704190180e+07 2.1898153526213817e+07 2.1641045216367587e+07 2.1417944089925669e+07 2.1257554778169841e+07 2.1199859483825646e+07 2.1302963519192860e+07 2.1651423201829311e+07 2.2373373487966806e+07 2.3671655925574057e+07 2.5888068072035052e+07 4.2641945700448211e+06 +1.1472490830277103e+01 9.1051935249914125e+07 9.1042786244455233e+07 9.1027229368374795e+07 9.1006377109093398e+07 9.0984481319223672e+07 9.0968496154079303e+07 9.0961660306878507e+07 9.0958606180510357e+07 9.0953603560403809e+07 9.0945076035702690e+07 9.0933181953250483e+07 9.0917492496773437e+07 9.0897256700051144e+07 9.0871695230999932e+07 9.0839977821197480e+07 9.0801096319647253e+07 9.0753842072667032e+07 9.0696805799688071e+07 9.0628339761341766e+07 9.0546502062533528e+07 9.0449020104821458e+07 9.0333187030215666e+07 9.0195274912011549e+07 9.0028876494311094e+07 8.9826989352091223e+07 8.9586088675805613e+07 8.9302253748882532e+07 8.8969299132670119e+07 8.8579653831958398e+07 8.8124691202208489e+07 8.7594743358811736e+07 8.6979082556463182e+07 8.6265942603399634e+07 8.5442603417361900e+07 8.4495568370163321e+07 8.3410844987686172e+07 8.2174384777337193e+07 8.0772695000728264e+07 7.9193668821031585e+07 7.7427617718830600e+07 7.5314818014414251e+07 7.2978382085854575e+07 7.0426302427378103e+07 6.7677236812102750e+07 6.4761683257108651e+07 6.1722033994541734e+07 5.8611103817626968e+07 5.5488947323406719e+07 5.2418216424009569e+07 4.9458370129538730e+07 4.6660236223246463e+07 4.4062754771340333e+07 4.1691086819195934e+07 3.9554109051074579e+07 3.7648252999657735e+07 3.5961547457692772e+07 3.4475892444928437e+07 3.3171028481795575e+07 3.2026204369161177e+07 3.1022981449955996e+07 3.0143849150569014e+07 2.9374779777031645e+07 2.8702477832084395e+07 2.8117270076068256e+07 2.7609446778221607e+07 2.7170870004407480e+07 2.6795223113588430e+07 2.6475821192715425e+07 2.6206221021067500e+07 2.5981715884016525e+07 2.5796448665449295e+07 2.5646162030136712e+07 2.5525955908365160e+07 2.5431615711100765e+07 2.5357421077615581e+07 2.5297799042339094e+07 2.5248599495165139e+07 2.5205880062631741e+07 2.5165763814261883e+07 2.5137439156582940e+07 2.5108859438828014e+07 2.5079706822972126e+07 2.5049175593938123e+07 2.5017680455608517e+07 2.4984316586255752e+07 2.4950200453567605e+07 2.4912296731536034e+07 2.4871731523000848e+07 2.4827758345710393e+07 2.4779794288488723e+07 2.4727131018042661e+07 2.4668970580268241e+07 2.4604167790858168e+07 2.4532857066501644e+07 2.4452339943036385e+07 2.4362065983917624e+07 2.4260725302262917e+07 2.4146908254194815e+07 2.4019161134715073e+07 2.3876025821648419e+07 2.3715890917149883e+07 2.3538977852651693e+07 2.3342185349361517e+07 2.3126191981553491e+07 2.2891497416846782e+07 2.2639942521240864e+07 2.2374659400944479e+07 2.2101609670091774e+07 2.1829665707277026e+07 2.1573361462573268e+07 2.1350958103657231e+07 2.1191070424371786e+07 2.1133555600722171e+07 2.1236337176826052e+07 2.1583707024664428e+07 2.2303399360847685e+07 2.3597621364576951e+07 2.5807101457978271e+07 4.2485783260553312e+06 +1.1477459153051361e+01 9.0818046654964089e+07 9.0808920606311157e+07 9.0793403007941902e+07 9.0772602481419057e+07 9.0750759475868076e+07 9.0734809703080967e+07 9.0727983581989497e+07 9.0724927537585765e+07 9.0719925933331147e+07 9.0711405914766848e+07 9.0699524879028082e+07 9.0683854575820521e+07 9.0663645352171779e+07 9.0638119128515780e+07 9.0606446920378253e+07 9.0567622178727403e+07 9.0520438167077035e+07 9.0463487802867651e+07 9.0395125920162857e+07 9.0313413681778863e+07 9.0216082089592531e+07 9.0100428628867283e+07 8.9962731554952800e+07 8.9796594269873261e+07 8.9595025061754957e+07 8.9354504511062503e+07 8.9071119177533552e+07 8.8738694586989358e+07 8.8349673053016618e+07 8.7895443381109908e+07 8.7366355455268294e+07 8.6751701867750898e+07 8.6039739567848101e+07 8.5217774607137203e+07 8.4272339577280566e+07 8.3189474296156585e+07 8.1955165377000481e+07 8.0555957447206974e+07 7.8979782271824241e+07 7.7216989616554767e+07 7.5108185772737533e+07 7.2776293847315952e+07 7.0229329698726222e+07 6.7485954620416820e+07 6.4576643604015000e+07 6.1543733728401884e+07 5.8439949702306002e+07 5.5325222767810613e+07 5.2262055229775168e+07 4.9309743404324308e+07 4.6518955291436784e+07 4.3928487052105375e+07 4.1563383696271159e+07 3.9432449193602696e+07 3.7532080427463725e+07 3.5850302059300415e+07 3.4369036283051521e+07 3.3068060407209359e+07 3.1926668820732728e+07 3.0926467002336808e+07 3.0049990134471487e+07 2.9283248335003830e+07 2.8612983839554917e+07 2.8029550966416687e+07 2.7523268672197927e+07 2.7086023305422641e+07 2.6711517045095786e+07 2.6393085342118949e+07 2.6124304622910701e+07 2.5900482405186575e+07 2.5715779590537261e+07 2.5565951598555453e+07 2.5446113247419048e+07 2.5352062559374005e+07 2.5278096471377917e+07 2.5218658967606530e+07 2.5169612309612554e+07 2.5127026017874487e+07 2.5087035078209169e+07 2.5058798988882102e+07 2.5030308666504927e+07 2.5001247250698004e+07 2.4970811539222889e+07 2.4939414935436737e+07 2.4906155470945630e+07 2.4872146002242751e+07 2.4834360863876890e+07 2.4793922565148916e+07 2.4750086959059235e+07 2.4702272958022006e+07 2.4649774444703888e+07 2.4591795961301666e+07 2.4527195929507095e+07 2.4456108229306065e+07 2.4375843000794429e+07 2.4285851459801253e+07 2.4184827817349814e+07 2.4071366839481626e+07 2.3944019369008701e+07 2.3801331845382113e+07 2.3641697934426751e+07 2.3465338263119627e+07 2.3269161411027923e+07 2.3053843762571745e+07 2.2819883422284860e+07 2.2569115497193005e+07 2.2304662294994622e+07 2.2032466779548094e+07 2.1761373593697485e+07 2.1505871116758656e+07 2.1284163531477589e+07 2.1124776051183768e+07 2.1067441182429679e+07 2.1169901220683891e+07 2.1516184347987730e+07 2.2233625186357677e+07 2.3523798358886555e+07 2.5726366208109416e+07 4.2330168909982406e+06 +1.1482427475825620e+01 9.0584651350321472e+07 9.0575548130923986e+07 9.0560069560917169e+07 9.0539320677556083e+07 9.0517530339078829e+07 9.0501615901285380e+07 9.0494799510945484e+07 9.0491741583141699e+07 9.0486741029113874e+07 9.0478228545689151e+07 9.0466360584052518e+07 9.0450709459923834e+07 9.0430526832854211e+07 9.0405035875566483e+07 9.0373408887459949e+07 9.0334640921172529e+07 9.0287527157099068e+07 9.0230662710717812e+07 9.0162404989250243e+07 9.0080818213175178e+07 8.9983636984286800e+07 8.9868163130132988e+07 8.9730681086353242e+07 8.9564804908701703e+07 8.9363553599637121e+07 8.9123413130563214e+07 8.8840477331926584e+07 8.8508582688020259e+07 8.8120184814516529e+07 8.7666687958234236e+07 8.7138459760231137e+07 8.6524813134842992e+07 8.5814028152243584e+07 8.4993436971324906e+07 8.4049601368905425e+07 8.2968593410596550e+07 8.1736434759124935e+07 8.0339707336734921e+07 7.8766381423700437e+07 7.7006844966551021e+07 7.4902033863167137e+07 7.2574681925534591e+07 7.0032828194940180e+07 6.7295137306968644e+07 6.4392061074142426e+07 6.1365881319625176e+07 5.8269232645678632e+07 5.5161923021298237e+07 5.2106305342082247e+07 4.9161513534281924e+07 4.6378056195736401e+07 4.3794586005618773e+07 4.1436032355891652e+07 3.9311126844003469e+07 3.7416231960050076e+07 3.5739368401716739e+07 3.4262480611896500e+07 3.2965382694713410e+07 3.1827414583080251e+07 3.0830225828385547e+07 2.9956397282227866e+07 2.9191976796924558e+07 2.8523744253425028e+07 2.7942081463770397e+07 2.7437335999484830e+07 2.7001418429089032e+07 2.6628049703170132e+07 2.6310585581738658e+07 2.6042622085134842e+07 2.5819480925297216e+07 2.5635340971910108e+07 2.5485970365654953e+07 2.5366498772217520e+07 2.5272736791828107e+07 2.5198998612477310e+07 2.5139745121906914e+07 2.5090850920791775e+07 2.5048397391553581e+07 2.5008531403213225e+07 2.4980383629277401e+07 2.4951982446793582e+07 2.4923011970317904e+07 2.4892671503346238e+07 2.4861373152418993e+07 2.4828217794159524e+07 2.4794314684829976e+07 2.4756647791124605e+07 2.4716336039378930e+07 2.4672637611184910e+07 2.4624973237360775e+07 2.4572639010140307e+07 2.4514841960941255e+07 2.4450444106995035e+07 2.4379578793713477e+07 2.4299564740007363e+07 2.4209854809792299e+07 2.4109147300186951e+07 2.3996041374638490e+07 2.3869092410686851e+07 2.3726851396360863e+07 2.3567717046642855e+07 2.3391909186822183e+07 2.3196346225961734e+07 2.2981702365170635e+07 2.2748474150354665e+07 2.2498490946034640e+07 2.2234865289466809e+07 2.1963521547453318e+07 2.1693276706337936e+07 2.1438573705393318e+07 2.1217559904727757e+07 2.1058671193511266e+07 2.1001515765084647e+07 2.1103655184641566e+07 2.1448854698025234e+07 2.2164050474975817e+07 2.3450186390555084e+07 2.5645861755962361e+07 4.2175100836419612e+06 +1.1487395798599879e+01 9.0351748057731673e+07 9.0342668428679645e+07 9.0327228446826071e+07 9.0306531096803486e+07 9.0284793306557029e+07 9.0268914147405356e+07 9.0262107492625967e+07 9.0259047715670332e+07 9.0254048246034294e+07 9.0245543326787740e+07 9.0233688466167182e+07 9.0218056546699822e+07 9.0197900539508134e+07 9.0172444869086832e+07 9.0140863118971720e+07 9.0102151943026528e+07 9.0055108438305080e+07 8.9998329918167979e+07 8.9930176362755537e+07 8.9848715049913988e+07 8.9751684180942237e+07 8.9636389924880937e+07 8.9499122895327225e+07 8.9333507798210531e+07 8.9132574350903720e+07 8.8892813916811571e+07 8.8610327591613188e+07 8.8278962811905742e+07 8.7891188488429472e+07 8.7438424300705105e+07 8.6911055635186300e+07 8.6298415712857336e+07 8.5588807704343677e+07 8.4769589849190176e+07 8.3827353074857458e+07 8.2748201650243863e+07 8.1518192230759472e+07 8.0123943963171244e+07 7.8553465556113645e+07 7.6797183032763317e+07 7.4696361532008737e+07 7.2373545548417002e+07 6.9836797125708848e+07 6.7104784064060010e+07 6.4207934844189726e+07 6.1188475932158068e+07 5.8098951802602343e+07 5.4999047234496556e+07 5.1950965912465960e+07 4.9013679677219376e+07 4.6237538105296895e+07 4.3661050816694930e+07 4.1309032001652591e+07 3.9190141226715811e+07 3.7300706843631953e+07 3.5628745752953395e+07 3.4156224720481887e+07 3.2862994653147649e+07 3.1728440983241271e+07 3.0734257271732152e+07 2.9863069952409688e+07 2.9100964534668021e+07 2.8434758457339257e+07 2.7854860962168753e+07 2.7351648163201798e+07 2.6917054786414795e+07 2.6544820505655985e+07 2.6228321335185107e+07 2.5961172836223435e+07 2.5738710877025817e+07 2.5555132245668218e+07 2.5406217770351257e+07 2.5287111923983261e+07 2.5193637851509746e+07 2.5120126945432078e+07 2.5061056950972117e+07 2.5012314775483783e+07 2.4969993631381925e+07 2.4930252237912346e+07 2.4902192526981220e+07 2.4873880229532715e+07 2.4845000432327103e+07 2.4814754937442124e+07 2.4783554558344062e+07 2.4750503008484472e+07 2.4716705954637893e+07 2.4679156967397422e+07 2.4638971400681365e+07 2.4595409758081473e+07 2.4547894583507191e+07 2.4495724172552880e+07 2.4438108038635153e+07 2.4373911784225225e+07 2.4303268222126294e+07 2.4223504624896053e+07 2.4134075500064231e+07 2.4033683219203774e+07 2.3920931330533050e+07 2.3794379733399246e+07 2.3652583951434139e+07 2.3493947734139793e+07 2.3318690107986838e+07 2.3123739282696322e+07 2.2909767282610256e+07 2.2677269099459805e+07 2.2428068371700805e+07 2.2165267894068249e+07 2.1894773489475682e+07 2.1625374566860519e+07 2.1371468755788349e+07 2.1151146755569171e+07 2.0992755386979777e+07 2.0935778885613218e+07 2.1037598603385951e+07 2.1381717601848900e+07 2.2094674737971369e+07 2.3376784942513321e+07 2.5565587536069587e+07 4.2020577233016258e+06 +1.1492364121374138e+01 9.0119336787930489e+07 9.0110280139587671e+07 9.0094879025103390e+07 9.0074233128920034e+07 9.0052547775323108e+07 9.0036703839181602e+07 9.0029906924473643e+07 9.0026845332445651e+07 9.0021846981275648e+07 9.0013349654882312e+07 9.0001507922213033e+07 8.9985895232726365e+07 8.9965765868288204e+07 8.9940345504959300e+07 8.9908809010305107e+07 8.9870154639225885e+07 8.9823181404952899e+07 8.9766488818833679e+07 8.9698439433556512e+07 8.9617103583933443e+07 8.9520223070390522e+07 8.9405108402712643e+07 8.9268056370052680e+07 8.9102702324730590e+07 8.8902086699764654e+07 8.8662706251474276e+07 8.8380669335119978e+07 8.8049834333360001e+07 8.7662683445482329e+07 8.7210651774513751e+07 8.6684142440603763e+07 8.6072508955893800e+07 8.5364077570922256e+07 8.4546232579221770e+07 8.3605594024123192e+07 8.2528298333142355e+07 8.1300437098218158e+07 7.9908666619583756e+07 7.8341033947706193e+07 7.6588003078369990e+07 7.4491168024797902e+07 7.2172883943550602e+07 6.9641235700523317e+07 6.6914894084017858e+07 6.4024264090868913e+07 6.1011516730139874e+07 5.7929106328503676e+07 5.4836594558593921e+07 5.1796036093212143e+07 4.8866240991836280e+07 4.6097400190254554e+07 4.3527880671051517e+07 4.1182381838177092e+07 3.9069491567297615e+07 3.7185504325561263e+07 3.5518433382100672e+07 3.4050267898934975e+07 3.2760895592340410e+07 3.1629747349331073e+07 3.0638560677068684e+07 2.9770007504629388e+07 2.9010210921162833e+07 2.8346025836077504e+07 2.7767888856742773e+07 2.7266204567517582e+07 2.6832931789430019e+07 2.6461828871339846e+07 2.6146292027044225e+07 2.5879956305662658e+07 2.5658171693974424e+07 2.5475152848834388e+07 2.5326693252465934e+07 2.5207952144836504e+07 2.5114765182396345e+07 2.5041480915707693e+07 2.4982593901536316e+07 2.4934003321410928e+07 2.4891814185976803e+07 2.4852197031798352e+07 2.4824225132107049e+07 2.4796001465449791e+07 2.4767212088076949e+07 2.4737061293532182e+07 2.4705958605970502e+07 2.4673010567363624e+07 2.4639319265875109e+07 2.4601887847736176e+07 2.4561828105024856e+07 2.4518402856619116e+07 2.4471036454438414e+07 2.4419029391020797e+07 2.4361593654768899e+07 2.4297598422977827e+07 2.4227175977939650e+07 2.4147662120586637e+07 2.4058512997716513e+07 2.3958435043713868e+07 2.3846036178973652e+07 2.3719880811770361e+07 2.3578528988299232e+07 2.3420389478154376e+07 2.3245680511716824e+07 2.3051340070598908e+07 2.2838038008983728e+07 2.2606267768844850e+07 2.2357847278945845e+07 2.2095869619340934e+07 2.1826222122212131e+07 2.1557666697769534e+07 2.1304555795994528e+07 2.1084923616953101e+07 2.0927028168060791e+07 2.0870230081719752e+07 2.0971731012351003e+07 2.1314772587331790e+07 2.2025497487493183e+07 2.3303593498560175e+07 2.5485542983917218e+07 4.1866596298376699e+06 +1.1497332444148396e+01 8.9887416947180092e+07 8.9878382995528683e+07 8.9863020708542764e+07 8.9842426158414558e+07 8.9820793141721293e+07 8.9804984372884288e+07 8.9798197202664092e+07 8.9795133829551280e+07 8.9790136630808964e+07 8.9781646925684750e+07 8.9769818347552344e+07 8.9754224913087890e+07 8.9734122214055300e+07 8.9708737177669659e+07 8.9677245955619216e+07 8.9638648403479263e+07 8.9591745450270340e+07 8.9535138805142686e+07 8.9467193593226090e+07 8.9385983205932349e+07 8.9289253042282715e+07 8.9174317951839596e+07 8.9037480897402331e+07 8.8872387873318329e+07 8.8672090029142618e+07 8.8433089514804304e+07 8.8151501939755857e+07 8.7821196626379028e+07 8.7434669055377156e+07 8.6983369744504601e+07 8.6457719535844654e+07 8.5847092216889605e+07 8.5139837097674474e+07 8.4323364498730481e+07 8.3384323544579402e+07 8.2308882776772857e+07 8.1083168666983798e+07 7.9693874598402113e+07 7.8129085876548320e+07 7.6379304366134569e+07 7.4286452586910829e+07 7.1972696338131294e+07 6.9446143128642157e+07 6.6725466558964662e+07 6.3841047991204292e+07 6.0835002877953373e+07 5.7759695379034162e+07 5.4674564145326793e+07 5.1641515037230484e+07 4.8719196637583867e+07 4.5957641621596806e+07 4.3395074755488425e+07 4.1056081071117997e+07 3.8949177092266232e+07 3.7070623654214151e+07 3.5408430559332483e+07 3.3944609438407741e+07 3.2659084823226150e+07 3.1531333010511443e+07 3.0543135390137974e+07 2.9677209299567051e+07 2.8919715330367506e+07 2.8257545775327884e+07 2.7681164543570511e+07 2.7181004617584936e+07 2.6749048851167209e+07 2.6379074219944265e+07 2.6064497082861859e+07 2.5798971923924398e+07 2.5577862810689643e+07 2.5395402219413843e+07 2.5247396252849471e+07 2.5129018877935104e+07 2.5036118229460172e+07 2.4963059969753828e+07 2.4904355421223123e+07 2.4855916007234115e+07 2.4813858504944433e+07 2.4774365235312939e+07 2.4746480895731255e+07 2.4718345606248301e+07 2.4689646389937822e+07 2.4659590024676427e+07 2.4628584748989694e+07 2.4595739925247222e+07 2.4562154073708449e+07 2.4524839888132505e+07 2.4484905609263320e+07 2.4441616364672605e+07 2.4394398309024800e+07 2.4342554125583615e+07 2.4285298270631868e+07 2.4221503485994246e+07 2.4151301525391553e+07 2.4072036693091352e+07 2.3983166770751398e+07 2.3883402243908107e+07 2.3771355392671995e+07 2.3645595121279687e+07 2.3504685985591684e+07 2.3347041760797009e+07 2.3172879883944195e+07 2.2979148079972450e+07 2.2766514039324284e+07 2.2535469658649180e+07 2.2287827173377823e+07 2.2026669976720180e+07 2.1757866963000707e+07 2.1490152622342210e+07 2.1237834354959343e+07 2.1018890022650074e+07 2.0861489074005459e+07 2.0804868891906291e+07 2.0906051947816990e+07 2.1248019183156449e+07 2.1956518236478664e+07 2.3230611543431547e+07 2.5405727535941467e+07 4.1713156236544694e+06 +1.1502300766922655e+01 8.9655987361618519e+07 8.9646976605214104e+07 8.9631652897817761e+07 8.9611109572678253e+07 8.9589528801072121e+07 8.9573755143874943e+07 8.9566977722239017e+07 8.9563912601763695e+07 8.9558916589084014e+07 8.9550434533806622e+07 8.9538619136550441e+07 8.9523044981839001e+07 8.9502968970490038e+07 8.9477619280643538e+07 8.9446173347895980e+07 8.9407632628140524e+07 8.9360799965967238e+07 8.9304279268320531e+07 8.9236438232243925e+07 8.9155353305493757e+07 8.9058773485110670e+07 8.8944017959567666e+07 8.8807395862993181e+07 8.8642563827879831e+07 8.8442583720734105e+07 8.8203963086028203e+07 8.7922824781703517e+07 8.7593049063496694e+07 8.7207144686645776e+07 8.6756577574554577e+07 8.6231786279287755e+07 8.5622164847953945e+07 8.4916085629343957e+07 8.4100984944223166e+07 8.3163540963359043e+07 8.2089954297589839e+07 8.0866386241761893e+07 7.9479567191309229e+07 7.7917620620172009e+07 7.6171086158187941e+07 7.4082214463132024e+07 7.1772981959119067e+07 6.9251518619184077e+07 6.6536500681086354e+07 6.3658285722081043e+07 6.0658933540207073e+07 5.7590718110383965e+07 5.4512955146986037e+07 5.1487401898128554e+07 4.8572545774718016e+07 4.5818261571147956e+07 4.3262632257664904e+07 4.0930128907152474e+07 3.8829197029279009e+07 3.6956064079085201e+07 3.5298736555912606e+07 3.3839248631154299e+07 3.2557561657835893e+07 3.1433197297016263e+07 3.0447980757737614e+07 2.9584674698870488e+07 2.8829477137260109e+07 2.8169317661879297e+07 2.7594687419751640e+07 2.7096047719523497e+07 2.6665405385596279e+07 2.6296555972281076e+07 2.5982935929158021e+07 2.5718219122422975e+07 2.5497783662730318e+07 2.5315879796349376e+07 2.5168326213278916e+07 2.5050311567282703e+07 2.4957696438579720e+07 2.4884863554919787e+07 2.4826340958616506e+07 2.4778052282603960e+07 2.4736126038799159e+07 2.4696756299882427e+07 2.4668959269876298e+07 2.4640912104581561e+07 2.4612302791147742e+07 2.4582340584779762e+07 2.4551432442020811e+07 2.4518690537472405e+07 2.4485209834217049e+07 2.4448012545533959e+07 2.4408203371241599e+07 2.4365049740964018e+07 2.4317979607069101e+07 2.4266297837209865e+07 2.4209221348484755e+07 2.4145626436887626e+07 2.4075644329676349e+07 2.3996627809379887e+07 2.3908036288085498e+07 2.3808584290906888e+07 2.3696888445207261e+07 2.3571522138310634e+07 2.3431054422814663e+07 2.3273904065062024e+07 2.3100287711587097e+07 2.2907162801974263e+07 2.2695194869459640e+07 2.2464874269820046e+07 2.2218007561445698e+07 2.1957668478443135e+07 2.1689707530026194e+07 2.1422831864719659e+07 2.1171303962354481e+07 2.0953045507201713e+07 2.0796137642837286e+07 2.0739694855491403e+07 2.0840560946843136e+07 2.1181456918773197e+07 2.1887736498717345e+07 2.3157838562664684e+07 2.5326140629547130e+07 4.1560255256989319e+06 +1.1507269089696914e+01 8.9425048263255924e+07 8.9416060226866186e+07 8.9400774978908673e+07 8.9380282766841710e+07 8.9358754147696018e+07 8.9343015545984879e+07 8.9336247877079159e+07 8.9333181042677104e+07 8.9328186249757364e+07 8.9319711872377008e+07 8.9307909682206228e+07 8.9292354831803665e+07 8.9272305530191779e+07 8.9246991205999672e+07 8.9215590578760788e+07 8.9177106704499915e+07 8.9130344342954397e+07 8.9073909598385513e+07 8.9006172739898473e+07 8.8925213270970404e+07 8.8828783786117703e+07 8.8714207811887950e+07 8.8577800651440457e+07 8.8413229571190059e+07 8.8213567155232415e+07 8.7975326343205214e+07 8.7694637236006081e+07 8.7365391016338170e+07 8.6980109706812024e+07 8.6530274627497628e+07 8.6006342028106883e+07 8.5397726199948207e+07 8.4692822509775639e+07 8.3879093251196116e+07 8.2943245606605634e+07 8.1871512211279154e+07 8.0650089126495570e+07 7.9265743689186797e+07 7.7706637455337554e+07 7.5963347716191962e+07 7.3878452897811651e+07 7.1573740033105105e+07 6.9057361381100804e+07 6.6347995642464161e+07 6.3475976460644774e+07 6.0483307881890520e+07 5.7422173679096028e+07 5.4351766716405824e+07 5.1333695830287956e+07 4.8426287564309299e+07 4.5679259211755410e+07 4.3130552366273999e+07 4.0804524553936362e+07 3.8709550606989764e+07 3.6841824850708887e+07 3.5189350644175842e+07 3.3734184770554952e+07 3.2456325409240395e+07 3.1335339540098969e+07 3.0353096127659284e+07 2.9492403065318957e+07 2.8739495717817046e+07 2.8081340883497149e+07 2.7508456883386403e+07 2.7011333280509386e+07 2.6582000807703700e+07 2.6214273550044060e+07 2.5901607993417580e+07 2.5637697333558232e+07 2.5417933686571300e+07 2.5236585019567493e+07 2.5089482576453630e+07 2.4971829657934904e+07 2.4879499256585401e+07 2.4806891119526260e+07 2.4748549963234507e+07 2.4700411598076943e+07 2.4658616239036318e+07 2.4619369677818120e+07 2.4591659707501035e+07 2.4563700414007746e+07 2.4535180745933820e+07 2.4505312428726234e+07 2.4474501140632514e+07 2.4441861860342406e+07 2.4408486004459057e+07 2.4371405277763441e+07 2.4331720849636510e+07 2.4288702445216488e+07 2.4241779809307799e+07 2.4190259987782128e+07 2.4133362351432726e+07 2.4069966740237731e+07 2.4000203856933478e+07 2.3921434937305503e+07 2.3833121019543044e+07 2.3733980656781826e+07 2.3622634811122503e+07 2.3497661340165496e+07 2.3357633780375272e+07 2.3200975874852952e+07 2.3027903482334957e+07 2.2835383728591412e+07 2.2624079996124428e+07 2.2394481104201838e+07 2.2148387950471010e+07 2.1888864637565676e+07 2.1621743342322599e+07 2.1355703949821189e+07 2.1104964148712080e+07 2.0887389605980933e+07 2.0730973413415939e+07 2.0674707512542393e+07 2.0775257547283333e+07 2.1115085324514516e+07 2.1819151788854979e+07 2.3085274042763624e+07 2.5246781703114584e+07 4.1407891574591072e+06 +1.1512237412471173e+01 8.9194598503736213e+07 8.9185632778924793e+07 8.9170386341655195e+07 8.9149945140865311e+07 8.9128468574256152e+07 8.9112764971916020e+07 8.9106007059618890e+07 8.9102938544821024e+07 8.9097945004998192e+07 8.9089478333570600e+07 8.9077689376374111e+07 8.9062153854608849e+07 8.9042131284397975e+07 8.9016852344673634e+07 8.8985497038891733e+07 8.8947070022648767e+07 8.8900377970575795e+07 8.8844029184248790e+07 8.8776396504307136e+07 8.8695562489513397e+07 8.8599283331391871e+07 8.8484886893723473e+07 8.8348694646059066e+07 8.8184384484825805e+07 8.7985039712029129e+07 8.7747178663237065e+07 8.7466938676581115e+07 8.7138221855333880e+07 8.6753563482255131e+07 8.6304460264868110e+07 8.5781386138690040e+07 8.5173775622946292e+07 8.4470047081590936e+07 8.3657688754352853e+07 8.2723436799642608e+07 8.1653555832625374e+07 8.0434276624290377e+07 7.9052403382389322e+07 7.7496135658234462e+07 7.5756088301182374e+07 7.3675167134918153e+07 7.1374969786408871e+07 6.8863670623143390e+07 6.6159950635201871e+07 6.3294119384104706e+07 6.0308125068168432e+07 5.7254061242100246e+07 5.4190998007014461e+07 5.1180395988640241e+07 4.8280421168264382e+07 4.5540633717037283e+07 4.2998834270972915e+07 4.0679267220224246e+07 3.8590237055177636e+07 3.6727905220692277e+07 3.5080272097508214e+07 3.3629417150984772e+07 3.2355375391561799e+07 3.1237759072175343e+07 3.0258480848826643e+07 2.9400393762650229e+07 2.8649770449099801e+07 2.7993614828962307e+07 2.7422472333605174e+07 2.6926860708639458e+07 2.6498834533490498e+07 2.6132226375996780e+07 2.5820512704159930e+07 2.5557405990697488e+07 2.5338312319660403e+07 2.5157517329975370e+07 2.5010864786075439e+07 2.4893572595830262e+07 2.4801526131276362e+07 2.4729142112834703e+07 2.4670981885584097e+07 2.4622993405150898e+07 2.4581328558070645e+07 2.4542204822429761e+07 2.4514581662485648e+07 2.4486709989043102e+07 2.4458279709457420e+07 2.4428505012333572e+07 2.4397790301332805e+07 2.4365253351064626e+07 2.4331982042373579e+07 2.4295017543611933e+07 2.4255457504168123e+07 2.4212573938044947e+07 2.4165798377423976e+07 2.4114440040098462e+07 2.4057720743603561e+07 2.3994523861505810e+07 2.3924979574182935e+07 2.3846457545632530e+07 2.3758420435870420e+07 2.3659590814439654e+07 2.3548593965823486e+07 2.3424012205038980e+07 2.3284423539580077e+07 2.3128256674947254e+07 2.2955726684834879e+07 2.2763810352750853e+07 2.2553168916894127e+07 2.2324289664487913e+07 2.2078967848608166e+07 2.1820257968021426e+07 2.1553973919739682e+07 2.1288768403465968e+07 2.1038814445349623e+07 2.0821921855105545e+07 2.0665995925360832e+07 2.0609906403939717e+07 2.0710141287770301e+07 2.1048903931463685e+07 2.1750763622362025e+07 2.3012917471043333e+07 2.5167650196008325e+07 4.1256063409628016e+06 +1.1517205735245431e+01 8.8964637335775986e+07 8.8955694185827181e+07 8.8940486372267529e+07 8.8920096092184961e+07 8.8898671471682742e+07 8.8883002813081771e+07 8.8876254661284432e+07 8.8873184499311298e+07 8.8868192245911077e+07 8.8859733308214292e+07 8.8847957609742060e+07 8.8832441440675333e+07 8.8812445623278975e+07 8.8787202086498335e+07 8.8755892117591590e+07 8.8717521971544355e+07 8.8670900237283319e+07 8.8614637413596317e+07 8.8547108912288740e+07 8.8466400347146615e+07 8.8370271505986661e+07 8.8256054588687405e+07 8.8120077229156911e+07 8.7956027949309185e+07 8.7757000769594342e+07 8.7519519422000855e+07 8.7239728476361185e+07 8.6911540949834853e+07 8.6527505378381252e+07 8.6079133847435430e+07 8.5556917966226280e+07 8.4950312465954632e+07 8.4247758686827168e+07 8.3436770787237331e+07 8.2504113866928786e+07 8.1436084475716203e+07 8.0218948037550449e+07 7.8839545560407490e+07 7.7286114504419982e+07 7.5549307173765004e+07 7.3472356417978927e+07 7.1176670445090085e+07 6.8670445553919807e+07 6.5972364851366088e+07 6.3112713669826262e+07 6.0133384264523312e+07 5.7086379956877716e+07 5.4030648172826901e+07 5.1027501528992735e+07 4.8134945749230064e+07 4.5402384261619344e+07 4.2867477162359640e+07 4.0554356115739949e+07 3.8471255604610287e+07 3.6614304441771977e+07 3.4971500190468848e+07 3.3524945067980871e+07 3.2254710920089599e+07 3.1140455226612870e+07 3.0164134271190178e+07 2.9308646155690856e+07 2.8560300709171463e+07 2.7906138888074785e+07 2.7336733170514632e+07 2.6842629413089838e+07 2.6415905979891725e+07 2.6050413873788219e+07 2.5739649490784727e+07 2.5477344528144848e+07 2.5258919000464100e+07 2.5078676169384860e+07 2.4932472286796428e+07 2.4815539827938166e+07 2.4723776511421446e+07 2.4651615985061470e+07 2.4593636177113391e+07 2.4545797156321820e+07 2.4504262449261844e+07 2.4465261187939752e+07 2.4437724589687586e+07 2.4409940285170726e+07 2.4381599137793936e+07 2.4351917792334549e+07 2.4321299381529074e+07 2.4288864467796691e+07 2.4255697406871695e+07 2.4218848802813426e+07 2.4179412795409460e+07 2.4136663681000829e+07 2.4090034774014261e+07 2.4038837457906280e+07 2.3982295989945654e+07 2.3919297267130379e+07 2.3849970949355289e+07 2.3771695104081810e+07 2.3683934008708406e+07 2.3585414237743806e+07 2.3474765385611959e+07 2.3350574212022468e+07 2.3211423182620477e+07 2.3055745951010399e+07 2.2883756808590256e+07 2.2692442168213293e+07 2.2482461130247574e+07 2.2254299454219755e+07 2.2009746764838915e+07 2.1751847984581597e+07 2.1486398782957379e+07 2.1222024752152111e+07 2.0972854384418383e+07 2.0756641791588705e+07 2.0601204719095699e+07 2.0545291071374085e+07 2.0645211707763147e+07 2.0982912271514963e+07 2.1682571515523855e+07 2.2940768335766695e+07 2.5088745548521277e+07 4.1104768987762039e+06 +1.1522174058019690e+01 8.8735164106761873e+07 8.8726243745424405e+07 8.8711074479085967e+07 8.8690735011377096e+07 8.8669362229418665e+07 8.8653728459659755e+07 8.8646990072257981e+07 8.8643918296273112e+07 8.8638927362459227e+07 8.8630476186134458e+07 8.8618713771895722e+07 8.8603216979213536e+07 8.8583247935801610e+07 8.8558039820098281e+07 8.8526775203152850e+07 8.8488461938865796e+07 8.8441910530274540e+07 8.8385733672964901e+07 8.8318309349694505e+07 8.8237726228803694e+07 8.8141747693643838e+07 8.8027710279471919e+07 8.7891947781730846e+07 8.7728159343965977e+07 8.7529449705094248e+07 8.7292347994221479e+07 8.7013006007029176e+07 8.6685347668182850e+07 8.6301934759301782e+07 8.5854294734762549e+07 8.5332936864923805e+07 8.4727336076926365e+07 8.4025956666282102e+07 8.3216338682688877e+07 8.2285276131956697e+07 8.1219097453694627e+07 8.0004102667998210e+07 7.8627169512141630e+07 7.7076573268999398e+07 7.5343003593970090e+07 7.3270019990160748e+07 7.0978841234768242e+07 6.8477685381890431e+07 6.5785237483032443e+07 6.2931758495269783e+07 5.9959084636665061e+07 5.6919128981207266e+07 5.3870716368278280e+07 5.0875011607643805e+07 4.7989860470751137e+07 4.5264510020998523e+07 4.2736480232030369e+07 4.0429790451259762e+07 3.8352605487158813e+07 3.6501021767693929e+07 3.4863034198602647e+07 3.3420767818128739e+07 3.2154331311065808e+07 3.1043427337911658e+07 3.0070055745758343e+07 2.9217159610297654e+07 2.8471085877123062e+07 2.7818912451660845e+07 2.7251238795246188e+07 2.6758638803965986e+07 2.6333214564870711e+07 2.5968835468126480e+07 2.5659017783749539e+07 2.5397512381248202e+07 2.5179753168332435e+07 2.5000060980606928e+07 2.4854304524220057e+07 2.4737730802115556e+07 2.4646249846712511e+07 2.4574312187399231e+07 2.4516512290187966e+07 2.4468822304938011e+07 2.4427417366932470e+07 2.4388538229507603e+07 2.4361087944892611e+07 2.4333390758786675e+07 2.4305138487994883e+07 2.4275550226443071e+07 2.4245027839625351e+07 2.4212694669676114e+07 2.4179631557796016e+07 2.4142898516021475e+07 2.4103586184894688e+07 2.4060971136592485e+07 2.4014488462592263e+07 2.3963451705863662e+07 2.3907087556418728e+07 2.3844286424421962e+07 2.3775177451336302e+07 2.3697147083248399e+07 2.3609661210648045e+07 2.3511450401472811e+07 2.3401148547734991e+07 2.3277346841100331e+07 2.3138632192579452e+07 2.2983443189621966e+07 2.2811993343984444e+07 2.2621278669640474e+07 2.2411956135483563e+07 2.2184509977799758e+07 2.1940724209036846e+07 2.1683634202812694e+07 2.1419017453474440e+07 2.1155472523328390e+07 2.0907083498830482e+07 2.0691548953142188e+07 2.0536599335845962e+07 2.0480861057287067e+07 2.0580468347494937e+07 2.0917109877409756e+07 2.1614574985481452e+07 2.2868826126048528e+07 2.5010067201951120e+07 4.0954006540024872e+06 +1.1527142380793949e+01 8.8506179039491653e+07 8.8497281255500048e+07 8.8482150075482830e+07 8.8461861282478184e+07 8.8440540235246703e+07 8.8424941300560221e+07 8.8418212681558713e+07 8.8415139324628428e+07 8.8410149743350133e+07 8.8401706355939522e+07 8.8389957251189902e+07 8.8374479858414963e+07 8.8354537609806269e+07 8.8329364932932541e+07 8.8298145682570428e+07 8.8259889311271742e+07 8.8213408235551879e+07 8.8157317347767085e+07 8.8089997201209575e+07 8.8009539518145010e+07 8.7913711277047694e+07 8.7799853347306266e+07 8.7664305683870897e+07 8.7500778047064200e+07 8.7302385894677669e+07 8.7065663753417730e+07 8.6786770639266461e+07 8.6459641377583563e+07 8.6076850988422021e+07 8.5629942285453990e+07 8.5109442187992990e+07 8.4504845802982181e+07 8.3804640359913558e+07 8.2996391772607923e+07 8.2066922917521879e+07 8.1002594079005405e+07 7.9789739816520885e+07 7.8415274525873825e+07 7.6867511226247251e+07 7.5137176821353346e+07 7.3068157094170481e+07 7.0781481381010488e+07 6.8285389315310076e+07 6.5598567722214878e+07 6.2751253038125291e+07 5.9785225350711562e+07 5.6752307473462157e+07 5.3711201748637520e+07 5.0722925381783232e+07 4.7845164497141391e+07 4.5127010171535760e+07 4.2605842672601491e+07 4.0305569438583732e+07 3.8234285935743570e+07 3.6388056453362897e+07 3.4754873398628838e+07 3.3316884699080922e+07 3.2054235881931465e+07 3.0946674741642028e+07 2.9976244624563526e+07 2.9125933493372340e+07 2.8382125333075047e+07 2.7731934911562704e+07 2.7165988609943829e+07 2.6674888292401377e+07 2.6250759707402285e+07 2.5887490584665090e+07 2.5578617014463920e+07 2.5317908986259662e+07 2.5100814263658583e+07 2.4921671207403217e+07 2.4776360944886830e+07 2.4660144967178632e+07 2.4568945587816883e+07 2.4497230171924464e+07 2.4439609678113885e+07 2.4392068305396430e+07 2.4350792766333651e+07 2.4312035403248135e+07 2.4284671184812918e+07 2.4257060867213704e+07 2.4228897218020439e+07 2.4199401773292180e+07 2.4168975134923600e+07 2.4136743416688554e+07 2.4103783955902744e+07 2.4067166144826621e+07 2.4027977135126751e+07 2.3985495768204171e+07 2.3939158907606665e+07 2.3888282249585930e+07 2.3832094909847252e+07 2.3769490801634651e+07 2.3700598549915232e+07 2.3622812954681568e+07 2.3535601515150916e+07 2.3437698781276368e+07 2.3327742930321660e+07 2.3204329573173314e+07 2.3066050053467248e+07 2.2911347878220189e+07 2.2740435782291114e+07 2.2550319352538008e+07 2.2341653432829436e+07 2.2114920740498852e+07 2.1871899691881571e+07 2.1615616139166821e+07 2.1351829453634642e+07 2.1089111245164853e+07 2.0841501322367020e+07 2.0626642878348153e+07 2.0472179317615986e+07 2.0416615904965524e+07 2.0515910748003904e+07 2.0851496282670371e+07 2.1546773550212208e+07 2.2797090331881393e+07 2.4931614598546408e+07 4.0803774302804396e+06 +1.1532110703568208e+01 8.8277680485056981e+07 8.8268805662845090e+07 8.8253712556088418e+07 8.8233474287915170e+07 8.8212204876262829e+07 8.8196640723585516e+07 8.8189921877080888e+07 8.8186846972063556e+07 8.8181858776310146e+07 8.8173423205026135e+07 8.8161687434798554e+07 8.8146229465214863e+07 8.8126314031966567e+07 8.8101176811267599e+07 8.8070002941817820e+07 8.8031803474193200e+07 8.7985392738009095e+07 8.7929387822272599e+07 8.7862171850278392e+07 8.7781839597826436e+07 8.7686161637816012e+07 8.7572483172722712e+07 8.7437150314336464e+07 8.7273883435680896e+07 8.7075808713327512e+07 8.6839466072280183e+07 8.6561021742701203e+07 8.6234421444211319e+07 8.5852253427895173e+07 8.5406075857065946e+07 8.4886433287667453e+07 8.4282840990139991e+07 8.3583809106814578e+07 8.2776929387943044e+07 8.1849053545475468e+07 8.0786573663277537e+07 7.9575858783222228e+07 7.8203859889137596e+07 7.6658927649999067e+07 7.4931826115058094e+07 7.2866766972414434e+07 7.0584590108997166e+07 6.8093556562383607e+07 6.5412354761017710e+07 6.2571196476148620e+07 5.9611805572988093e+07 5.6585914592288427e+07 5.3552103469586022e+07 5.0571242009210557e+07 4.7700856993576489e+07 4.4989883890580118e+07 4.2475563677661166e+07 4.0181692290582515e+07 3.8116296184393547e+07 3.6275407754704289e+07 3.4647017068276070e+07 3.3213295009636160e+07 3.1954423951131735e+07 3.0850196774423219e+07 2.9882700260730155e+07 2.9034967172867745e+07 2.8293418458173234e+07 2.7645205660675902e+07 2.7080982017758179e+07 2.6591377290560145e+07 2.6168540827405266e+07 2.5806378650075451e+07 2.5498446615275059e+07 2.5238533780432679e+07 2.5022101727769230e+07 2.4843506294500940e+07 2.4698640996341687e+07 2.4582781772933371e+07 2.4491863186317410e+07 2.4420369391746312e+07 2.4362927795199405e+07 2.4315534612975024e+07 2.4274388103665229e+07 2.4235752166229025e+07 2.4208473767133545e+07 2.4180950068762675e+07 2.4152874786776584e+07 2.4123471892455816e+07 2.4093140727692135e+07 2.4061010169850830e+07 2.4028154062909856e+07 2.3991651151750725e+07 2.3952585109470446e+07 2.3910237040216535e+07 2.3864045574473612e+07 2.3813328555567291e+07 2.3757317518029850e+07 2.3694909867953680e+07 2.3626233715796653e+07 2.3548692190823104e+07 2.3461754396633621e+07 2.3364158853760604e+07 2.3254548012428153e+07 2.3131521890012834e+07 2.2993676250155754e+07 2.2839459505117536e+07 2.2669083615658991e+07 2.2479563713326041e+07 2.2271552523306467e+07 2.2045531248438265e+07 2.1803272724943347e+07 2.1547793310906928e+07 2.1284834306579031e+07 2.1022940446740795e+07 2.0776107389562063e+07 2.0561923106560774e+07 2.0407944207228139e+07 2.0352555158432361e+07 2.0451538451119348e+07 2.0786071021623988e+07 2.1479166728545949e+07 2.2725560444155790e+07 2.4853387181514665e+07 4.0654070517830788e+06 +1.1537079026342466e+01 8.8049668274602294e+07 8.8040816117549941e+07 8.8025761236676440e+07 8.8005573412836269e+07 8.7984355538808748e+07 8.7968826115394652e+07 8.7962117045479596e+07 8.7959040625256777e+07 8.7954053847686172e+07 8.7945626119721010e+07 8.7933903708863392e+07 8.7918465185517818e+07 8.7898576587809891e+07 8.7873474840449706e+07 8.7842346365676954e+07 8.7804203811954737e+07 8.7757863421443045e+07 8.7701944479510695e+07 8.7634832679222405e+07 8.7554625849337488e+07 8.7459098156306639e+07 8.7345599134864509e+07 8.7210481051008090e+07 8.7047474885927051e+07 8.6849717535138175e+07 8.6613754322140753e+07 8.6335758685929298e+07 8.6009687233214453e+07 8.5628141438832134e+07 8.5182694806233481e+07 8.4663909515248865e+07 8.4061320983600631e+07 8.3363462245020777e+07 8.2557950858794570e+07 8.1631667336810499e+07 8.0571035517350242e+07 7.9362458867703870e+07 7.7992924888887286e+07 7.6450821813561291e+07 7.4726950733571410e+07 7.2665848866884187e+07 7.0388166643675104e+07 6.7902186331171259e+07 6.5226597791474931e+07 6.2391587987229116e+07 5.9438824470169887e+07 5.6419949496921428e+07 5.3393420687417157e+07 5.0419960648567446e+07 4.7556937126002021e+07 4.4853130356414638e+07 4.2345642441748463e+07 4.0058158221107870e+07 3.7998635468138337e+07 3.6163074928748108e+07 3.4539464486428484e+07 3.3109998049608164e+07 3.1854894838207014e+07 3.0753992773963992e+07 2.9789422008453280e+07 2.8944260017754726e+07 2.8204964634644140e+07 2.7558724092838231e+07 2.6996218422841042e+07 2.6508105211530354e+07 2.6086557345782410e+07 2.5725499091953430e+07 2.5418506019561563e+07 2.5159386201971427e+07 2.4943615002927154e+07 2.4765565687608458e+07 2.4621144127065759e+07 2.4505640670120321e+07 2.4415002094789833e+07 2.4343729300859578e+07 2.4286466096657675e+07 2.4239220683941811e+07 2.4198202836070318e+07 2.4159687976471011e+07 2.4132495150452092e+07 2.4105057822639421e+07 2.4077070654147238e+07 2.4047760044439409e+07 2.4017524079098817e+07 2.3985494391049754e+07 2.3952741341463257e+07 2.3916353000258662e+07 2.3877409572281417e+07 2.3835194417911667e+07 2.3789147929468870e+07 2.3738590091279346e+07 2.3682754849651407e+07 2.3620543093463298e+07 2.3552082420648567e+07 2.3474784265047334e+07 2.3388119330397986e+07 2.3290830096397709e+07 2.3181563273958135e+07 2.3058923274365131e+07 2.2921510268418767e+07 2.2767777559579954e+07 2.2597936337122969e+07 2.2409011249252401e+07 2.2201652908880632e+07 2.1976341008605905e+07 2.1734842820629355e+07 2.1480165236164045e+07 2.1218031536330286e+07 2.0956959657885894e+07 2.0710901235797882e+07 2.0497389177927673e+07 2.0343893548257958e+07 2.0288678362552971e+07 2.0387350999468986e+07 2.0720833629447456e+07 2.1411754040108241e+07 2.2654235954656679e+07 2.4775384395045787e+07 4.0504893432162944e+06 +1.1542047349116725e+01 8.7822142066711560e+07 8.7813312349214837e+07 8.7798295490023792e+07 8.7778158045239568e+07 8.7756991609036714e+07 8.7741496861521676e+07 8.7734797572335929e+07 8.7731719669715166e+07 8.7726734342953846e+07 8.7718314485254258e+07 8.7706605458349481e+07 8.7691186404009238e+07 8.7671324661732808e+07 8.7646258404459879e+07 8.7615175337845638e+07 8.7577089707750082e+07 8.7530819668583289e+07 8.7474986701676920e+07 8.7407979069458172e+07 8.7327897653098643e+07 8.7232520211941510e+07 8.7119200611866564e+07 8.6984297270483196e+07 8.6821551772779584e+07 8.6624111732839569e+07 8.6388527873461142e+07 8.6110980836306930e+07 8.5785438108789727e+07 8.5404514381437600e+07 8.4959798488440752e+07 8.4441870221042812e+07 8.3840285127456129e+07 8.3143599111808643e+07 8.2339455514516816e+07 8.1414763611845687e+07 8.0355978951280266e+07 7.9149539368658170e+07 7.7782468811371177e+07 7.6243192989619195e+07 7.4522549935084060e+07 7.2465402019216239e+07 7.0192210209752873e+07 6.7711277829554901e+07 6.5041296005702622e+07 6.2212426749621280e+07 5.9266281209194943e+07 5.6254411346978270e+07 5.3235152559142821e+07 5.0269080459062345e+07 4.7413404061283693e+07 4.4716748748139396e+07 4.2216078160436727e+07 3.9934966445117459e+07 3.7881303023154460e+07 3.6051057233636260e+07 3.4432214933041379e+07 3.3006993119982190e+07 3.1755647863784704e+07 3.0658062078994796e+07 2.9696409222919930e+07 2.8853811398081437e+07 2.8116763245686982e+07 2.7472489602991525e+07 2.6911697230362374e+07 2.6425071469495788e+07 2.6004808684498347e+07 2.5644851338924095e+07 2.5338794661660623e+07 2.5080465690062370e+07 2.4865353532414947e+07 2.4687848833340820e+07 2.4543869786473587e+07 2.4428721110457789e+07 2.4338361766734187e+07 2.4267309354241993e+07 2.4210224038663045e+07 2.4163125975473970e+07 2.4122236421649136e+07 2.4083842292908665e+07 2.4056734794332903e+07 2.4029383589033414e+07 2.4001484280901287e+07 2.3972265690707769e+07 2.3942124651285876e+07 2.3910195543149043e+07 2.3877545255128048e+07 2.3841271154752187e+07 2.3802449988814380e+07 2.3760367367468853e+07 2.3714465439860206e+07 2.3664066325096224e+07 2.3608406374368504e+07 2.3546389949202836e+07 2.3478144136968181e+07 2.3401088651615255e+07 2.3314695792665355e+07 2.3217711987607103e+07 2.3108788195813414e+07 2.2986533209775805e+07 2.2849551594943270e+07 2.2696301531712864e+07 2.2526993440636504e+07 2.2338661458495222e+07 2.2131954092318624e+07 2.1907349528823122e+07 2.1666609492165294e+07 2.1412731433869436e+07 2.1151420667715784e+07 2.0891168409273583e+07 2.0645882397268865e+07 2.0433040633427374e+07 2.0280026885137659e+07 2.0224985062951475e+07 2.0323347936495125e+07 2.0655783642086037e+07 2.1344535005381472e+07 2.2583116356046632e+07 2.4697605684309538e+07 4.0356241298174397e+06 +1.1547015671890984e+01 8.7595100624514401e+07 8.7586293570138365e+07 8.7571314743608087e+07 8.7551227570221514e+07 8.7530112472657621e+07 8.7514652346614838e+07 8.7507962842125982e+07 8.7504883489807323e+07 8.7499899646322966e+07 8.7491487685607374e+07 8.7479792067130625e+07 8.7464392504287630e+07 8.7444557637128338e+07 8.7419526886314452e+07 8.7388489240888149e+07 8.7350460543805301e+07 8.7304260860942423e+07 8.7248513869661614e+07 8.7181610401123002e+07 8.7101654388334557e+07 8.7006427182992145e+07 8.6893286980756372e+07 8.6758598348461881e+07 8.6596113470025718e+07 8.6398990678385004e+07 8.6163786095649034e+07 8.5886687560459778e+07 8.5561673433865279e+07 8.5181371614882916e+07 8.4737386258407906e+07 8.4220314754332453e+07 8.3619732765066057e+07 8.2924219043511048e+07 8.2121442683400691e+07 8.1198341689974755e+07 8.0141403274433181e+07 7.8937099584168553e+07 7.7572490942298740e+07 7.6036040450295568e+07 7.4318622977293402e+07 7.2265425670675039e+07 6.9996720031677097e+07 6.7520830265427738e+07 6.4856448595882937e+07 6.2033711941493057e+07 5.9094174957414605e+07 5.6089299302628897e+07 5.3077298242242768e+07 5.0118600600780755e+07 4.7270256967060134e+07 4.4580738245910354e+07 4.2086870030300699e+07 3.9812116178564720e+07 3.7764298086633869e+07 3.5939353928575031e+07 3.4325267689161181e+07 3.2904279522749215e+07 3.1656682349607181e+07 3.0562404029376227e+07 2.9603661260437801e+07 2.8763620684924722e+07 2.8028813675540097e+07 2.7386501587026190e+07 2.6827417846493319e+07 2.6342275479556840e+07 2.5923294266431160e+07 2.5564434820623543e+07 2.5259311976879697e+07 2.5001771684891552e+07 2.4787316760438778e+07 2.4610355179354299e+07 2.4466817424945168e+07 2.4352022546595491e+07 2.4261941656633265e+07 2.4191109007832993e+07 2.4134201078375660e+07 2.4087249945728622e+07 2.4046488319452237e+07 2.4008214575429741e+07 2.3981192159278657e+07 2.3953926829046667e+07 2.3926115128802922e+07 2.3896988293650109e+07 2.3866941907338798e+07 2.3835113089927845e+07 2.3802565268445294e+07 2.3766405080555368e+07 2.3727705825266324e+07 2.3685755356078163e+07 2.3639997573831048e+07 2.3589756726304606e+07 2.3534271562699877e+07 2.3472449907103345e+07 2.3404418338286515e+07 2.3327604825760726e+07 2.3241483260585345e+07 2.3144804006693561e+07 2.3036222259710450e+07 2.2914351180794474e+07 2.2777799717290208e+07 2.2625030912536483e+07 2.2456254420954905e+07 2.2268513840063274e+07 2.2062455577299226e+07 2.1838556317822307e+07 2.1598572253670067e+07 2.1345491423840102e+07 2.1085001226382926e+07 2.0825566232398778e+07 2.0581050410945240e+07 2.0368877014828954e+07 2.0216343763047054e+07 2.0161474806060966e+07 2.0259528806421109e+07 2.0590920596298363e+07 2.1277509145713225e+07 2.2512201141877398e+07 2.4620050495417397e+07 4.0208112373540108e+06 +1.1551983994665243e+01 8.7368544136146516e+07 8.7359759055876926e+07 8.7344818391211033e+07 8.7324781366558477e+07 8.7303717514669463e+07 8.7288291954099014e+07 8.7281612238205388e+07 8.7278531468777642e+07 8.7273549140908077e+07 8.7265145103856876e+07 8.7253462917907104e+07 8.7238082868837431e+07 8.7218274896105722e+07 8.7193279667845637e+07 8.7162287456324324e+07 8.7124315701003224e+07 8.7078186379063204e+07 8.7022525363272652e+07 8.6955726053187355e+07 8.6875895433355018e+07 8.6780818446633622e+07 8.6667857617558613e+07 8.6533383659449711e+07 8.6371159350669384e+07 8.6174353742516637e+07 8.5939528357012823e+07 8.5662878223798081e+07 8.5338392570674315e+07 8.4958712497384965e+07 8.4515457469663888e+07 8.3999242463567823e+07 8.3399663238839731e+07 8.2705321375515282e+07 8.1903911693085223e+07 8.0982400889807552e+07 7.9927307795400992e+07 7.8725138811633825e+07 7.7362990566625491e+07 7.5829363467261463e+07 7.4115169117341787e+07 7.2065919062268600e+07 6.9801695333713144e+07 6.7330842846499637e+07 6.4672054754070774e+07 6.1855442741377838e+07 5.8922504882437833e+07 5.5924612524385318e+07 5.2919856894798167e+07 4.9968520234390661e+07 4.7127495011827298e+07 4.4445098030750550e+07 4.1958017248835571e+07 3.9689606638460457e+07 3.7647619896853887e+07 3.5827964273876406e+07 3.4218622036937065e+07 3.2801856561077736e+07 3.1557997618435472e+07 3.0467017966002628e+07 2.9511177478380181e+07 2.8673687250390347e+07 2.7941115309516188e+07 2.7300759441939980e+07 2.6743379678422622e+07 2.6259716657849818e+07 2.5842013515523780e+07 2.5484248967590496e+07 2.5180057401502322e+07 2.4923303627593823e+07 2.4709504132207397e+07 2.4533084174189877e+07 2.4389986493898567e+07 2.4275544432147350e+07 2.4185741219903678e+07 2.4115127718499307e+07 2.4058396673832595e+07 2.4011592053783804e+07 2.3970957989454638e+07 2.3932804284894302e+07 2.3905866706723537e+07 2.3878687004745632e+07 2.3850962660518840e+07 2.3821927316598520e+07 2.3791975311250970e+07 2.3760246496114619e+07 2.3727800846846480e+07 2.3691754243935574e+07 2.3653176548787743e+07 2.3611357851788215e+07 2.3565743800466366e+07 2.3515660765164413e+07 2.3460349886160333e+07 2.3398722440037262e+07 2.3330904498952832e+07 2.3254332263583027e+07 2.3168481212203685e+07 2.3072105633893713e+07 2.2963864948329918e+07 2.2842376672776829e+07 2.2706254123933993e+07 2.2553965193940312e+07 2.2385718773800414e+07 2.2198567893887829e+07 2.1993156868360452e+07 2.1769960885156438e+07 2.1530730620088685e+07 2.1278444726698250e+07 2.1018772738805715e+07 2.0760152659579743e+07 2.0516404814643864e+07 2.0304897864680540e+07 2.0152843727989443e+07 2.0098147139114223e+07 2.0195893154256031e+07 2.0526244029680558e+07 2.1210675983247578e+07 2.2441489806588657e+07 2.4542718275470641e+07 4.0060504921222264e+06 +1.1556952317439501e+01 8.7142471366322309e+07 8.7133708766114995e+07 8.7118805777280822e+07 8.7098818810707495e+07 8.7077806119170740e+07 8.7062415066571176e+07 8.7055745142871112e+07 8.7052662988876894e+07 8.7047682208900288e+07 8.7039286121836945e+07 8.7027617392478779e+07 8.7012256879117981e+07 8.6992475819946617e+07 8.6967516129971474e+07 8.6936569364508346e+07 8.6898654559391901e+07 8.6852595602291733e+07 8.6797020561252087e+07 8.6730325403930947e+07 8.6650620165261596e+07 8.6555693379004374e+07 8.6442911897106931e+07 8.6308652576931149e+07 8.6146688786397994e+07 8.5950200295040339e+07 8.5715754024849609e+07 8.5439552190680832e+07 8.5115594880214274e+07 8.4736536386047140e+07 8.4294011475022316e+07 8.3778652696180522e+07 8.3180075890152648e+07 8.2486905442465827e+07 8.1686861870313257e+07 8.0766940529213727e+07 7.9713691822017774e+07 7.8513656347783804e+07 7.7153966968931720e+07 7.5623161311544240e+07 7.3912187612075642e+07 7.1866881434500083e+07 6.9607135339821860e+07 6.7141314780392766e+07 6.4488113672546364e+07 6.1677618327920109e+07 5.8751270152225465e+07 5.5760350173400760e+07 5.2762827675646618e+07 4.9818838521473721e+07 4.6985117364972591e+07 4.4309827284587525e+07 4.1829519014650002e+07 3.9567437042873733e+07 3.7531267693241425e+07 3.5716887530926496e+07 3.4112277259586364e+07 3.2699723539148103e+07 3.1459592994157564e+07 3.0371903230872124e+07 2.9418957235112607e+07 2.8584010467683952e+07 2.7853667533922981e+07 2.7215262565644093e+07 2.6659582134372722e+07 2.6177394421529938e+07 2.5760965856642578e+07 2.5404293211427893e+07 2.5101030372803323e+07 2.4845060960260462e+07 2.4631915093891274e+07 2.4456035267406553e+07 2.4313376445613012e+07 2.4199286221695945e+07 2.4109759912928388e+07 2.4039364944066558e+07 2.3982810284080781e+07 2.3936151759699345e+07 2.3895644892601959e+07 2.3857610883077510e+07 2.3830757899093170e+07 2.3803663579124350e+07 2.3776026339672882e+07 2.3747082223833859e+07 2.3717224327979181e+07 2.3685595227378353e+07 2.3653251456744853e+07 2.3617318112101324e+07 2.3578861627464239e+07 2.3537174323637627e+07 2.3491703589833297e+07 2.3441777912831742e+07 2.3386640817137200e+07 2.3325207021820698e+07 2.3257602094303884e+07 2.3181270442131478e+07 2.3095689126499221e+07 2.2999616350340746e+07 2.2891715745264545e+07 2.2770609172086824e+07 2.2634914304269183e+07 2.2483103868721455e+07 2.2315385995729353e+07 2.2128823120728809e+07 2.1924057470895987e+07 2.1701562741234109e+07 2.1463084107227329e+07 2.1211590863933120e+07 2.0952734732317902e+07 2.0694927223956756e+07 2.0451945146970972e+07 2.0241102726371281e+07 2.0089526326748487e+07 2.0035001610140439e+07 2.0132440525847219e+07 2.0461753480615322e+07 2.1144035040990181e+07 2.2370981845490135e+07 2.4465608472532060e+07 3.9913417209457001e+06 +1.1561920640213760e+01 8.6916881660990760e+07 8.6908141474173203e+07 8.6893276300833315e+07 8.6873339285428539e+07 8.6852377668634608e+07 8.6837021065289527e+07 8.6830360937310308e+07 8.6827277431232020e+07 8.6822298231205896e+07 8.6813910120442376e+07 8.6802254871421322e+07 8.6786913915468365e+07 8.6767159788649753e+07 8.6742235652265877e+07 8.6711334344807371e+07 8.6673476497774005e+07 8.6627487909011185e+07 8.6571998841387719e+07 8.6505407830107898e+07 8.6425827960208043e+07 8.6331051355151013e+07 8.6218449193359151e+07 8.6084404473303691e+07 8.5922701147984415e+07 8.5726529704603344e+07 8.5492462465493724e+07 8.5216708824623629e+07 8.4893279722665653e+07 8.4514842637141719e+07 8.4073047626144007e+07 8.3558544798722297e+07 8.2960970059589744e+07 8.2268970578031659e+07 8.1470292540885597e+07 8.0551959925263926e+07 7.9500554661407545e+07 7.8302651488687560e+07 7.6945419432969272e+07 7.5417433253708422e+07 7.3709677717712462e+07 7.1668312027710304e+07 6.9413039273938149e+07 6.6952245274648868e+07 6.4304624543622002e+07 6.1500237879960760e+07 5.8580469935087040e+07 5.5596511411182329e+07 5.2606209744140066e+07 4.9669554624194846e+07 4.6843123196683638e+07 4.4174925190349184e+07 4.1701374527306549e+07 3.9445606610934995e+07 3.7415240716163993e+07 3.5606122962240890e+07 3.4006232641490303e+07 3.2597879762297750e+07 3.1361467801742554e+07 3.0277059167030897e+07 2.9326999890142102e+07 2.8494589711000297e+07 2.7766469736155368e+07 2.7130010357193410e+07 2.6576024623536181e+07 2.6095308188724268e+07 2.5680150715665843e+07 2.5324566984652463e+07 2.5022230329046428e+07 2.4767043125976190e+07 2.4554549092608918e+07 2.4379207909528814e+07 2.4236986733358715e+07 2.4123247370757550e+07 2.4033997193035267e+07 2.3963820143316906e+07 2.3907441369093545e+07 2.3860928524446234e+07 2.3820548490770392e+07 2.3782633832710054e+07 2.3755865199692558e+07 2.3728856016131587e+07 2.3701305630839076e+07 2.3672452480589598e+07 2.3642688423419550e+07 2.3611158750332918e+07 2.3578916565466329e+07 2.3543096153188538e+07 2.3504760530286584e+07 2.3463204241543777e+07 2.3417876412881855e+07 2.3368107641395394e+07 2.3313143828970600e+07 2.3251903127163477e+07 2.3184510600611717e+07 2.3108418839367367e+07 2.3023106483374737e+07 2.2927335638100393e+07 2.2819774134968828e+07 2.2699048165861025e+07 2.2563779748506479e+07 2.2412446430572510e+07 2.2245255584230125e+07 2.2059279022258557e+07 2.1855156891165774e+07 2.1633361397343576e+07 2.1395632231738485e+07 2.1144929357853983e+07 2.0886886735060766e+07 2.0629889459449764e+07 2.0387670947357040e+07 2.0177491144050784e+07 2.0026391106909577e+07 1.9972037767926399e+07 2.0069170467787594e+07 2.0397448488325328e+07 2.1077585842779245e+07 2.2300676754764605e+07 2.4388720535646681e+07 3.9766847511740597e+06 +1.1566888962988019e+01 8.6691775165361881e+07 8.6683056761881575e+07 8.6668229385812268e+07 8.6648342183933392e+07 8.6627431544280544e+07 8.6612109330568075e+07 8.6605459001779795e+07 8.6602374175969958e+07 8.6597396587713212e+07 8.6589016479293525e+07 8.6577374734129861e+07 8.6562053357215166e+07 8.6542326181139424e+07 8.6517437613484591e+07 8.6486581775511175e+07 8.6448780894048393e+07 8.6402862676473185e+07 8.6347459580331311e+07 8.6280972707748264e+07 8.6201518193194777e+07 8.6106891749118030e+07 8.5994468879164413e+07 8.5860638720166102e+07 8.5699195805211470e+07 8.5503341338942692e+07 8.5269653044192001e+07 8.4994347488133073e+07 8.4671446457059562e+07 8.4293630606020480e+07 8.3852565273817778e+07 8.3338918116891548e+07 8.2742345086893409e+07 8.2051516115155295e+07 8.1254203030039951e+07 8.0337458394254342e+07 7.9287895620027751e+07 7.8092123529679373e+07 7.6737347242057338e+07 7.5212178563887581e+07 7.3507638690401599e+07 7.1470210081813172e+07 6.9219406359573141e+07 6.6763633536788866e+07 6.4121586559526630e+07 6.1323300576585740e+07 5.8410103399708696e+07 5.5433095399819463e+07 5.2450002260256849e+07 4.9520667705624431e+07 4.6701511678023748e+07 4.4040390931926906e+07 4.1573582987345561e+07 3.9324114562803842e+07 3.7299538207221553e+07 3.5495669831419803e+07 3.3900487468077965e+07 3.2496324536931943e+07 3.1263621367245249e+07 3.0182485118605040e+07 2.9235304803949472e+07 2.8405424355627682e+07 2.7679521304538559e+07 2.7045002216556776e+07 2.6492706556120869e+07 2.6013457378596101e+07 2.5599567519515730e+07 2.5245069720864445e+07 2.4943656709439654e+07 2.4689249568782069e+07 2.4477405576440983e+07 2.4302601551997993e+07 2.4160816811392739e+07 2.4047427335825209e+07 2.3958452518497452e+07 2.3888492775981676e+07 2.3832289389802039e+07 2.3785921809980020e+07 2.3745668246780254e+07 2.3707872597464580e+07 2.3681188072791148e+07 2.3654263780667860e+07 2.3626799999518674e+07 2.3598037553010847e+07 2.3568367064404689e+07 2.3536936532513816e+07 2.3504795641278911e+07 2.3469087836264979e+07 2.3430872727181327e+07 2.3389447076400984e+07 2.3344261741507411e+07 2.3294649423889548e+07 2.3239858395939842e+07 2.3178810231683236e+07 2.3111629494994842e+07 2.3035776934176229e+07 2.2950732763609193e+07 2.2855262980122730e+07 2.2748039602839850e+07 2.2627693142276499e+07 2.2492849947852898e+07 2.2341992374058805e+07 2.2175327037622128e+07 2.1989935101013754e+07 2.1786454636340391e+07 2.1565356365626484e+07 2.1328374511119731e+07 2.1078459731608722e+07 2.0821228276008915e+07 2.0565038900867846e+07 2.0323581756016202e+07 2.0114062662722912e+07 1.9963437616858304e+07 1.9909255162094038e+07 2.0006082527522840e+07 2.0333328592810377e+07 2.1011327913309082e+07 2.2230574031568013e+07 2.4312053914803851e+07 3.9620794106815848e+06 +1.1571857285762277e+01 8.6467149899616838e+07 8.6458454114074633e+07 8.6443664403804809e+07 8.6423826903574556e+07 8.6402967125714660e+07 8.6387679241756171e+07 8.6381038715326071e+07 8.6377952601992756e+07 8.6372976657346860e+07 8.6364604577199936e+07 8.6352976359276548e+07 8.6337674582526132e+07 8.6317974375450641e+07 8.6293121391208649e+07 8.6262311033797577e+07 8.6224567124917075e+07 8.6178719280952826e+07 8.6123402153632134e+07 8.6057019411666468e+07 8.5977690238279805e+07 8.5883213933938518e+07 8.5770970326290458e+07 8.5637354687707692e+07 8.5476172126800373e+07 8.5280634564806014e+07 8.5047325125256002e+07 8.4772467542522639e+07 8.4450094441684678e+07 8.4072899646908060e+07 8.3632563767967001e+07 8.3119771995340168e+07 8.2524200310856536e+07 8.1834541385807842e+07 8.1038592661991209e+07 8.0123435251777083e+07 7.9075714003548756e+07 7.7882071765622154e+07 7.6529749678843319e+07 7.5007396511593103e+07 7.3306069785444394e+07 7.1272574836506352e+07 6.9026235820192829e+07 6.6575478774177030e+07 6.3938998912774555e+07 6.1146805597080879e+07 5.8240169715057284e+07 5.5270101301800653e+07 5.2294204384718195e+07 4.9372176929453604e+07 4.6560281980916716e+07 4.3906223694047175e+07 4.1446143596367598e+07 3.9202960119690597e+07 3.7184159409017473e+07 3.5385527403110325e+07 3.3795041025866702e+07 3.2395057170553677e+07 3.1166053017808635e+07 3.0088180430809774e+07 2.9143871338177044e+07 2.8316513777865332e+07 2.7592821628548905e+07 2.6960237544804189e+07 2.6409627343410052e+07 2.5931841411258299e+07 2.5519215696034215e+07 2.5165800854556426e+07 2.4865308954204217e+07 2.4611679733754952e+07 2.4400483994474862e+07 2.4226215647253998e+07 2.4084866134901058e+07 2.3971825574347906e+07 2.3883125348587312e+07 2.3813382302744951e+07 2.3757353808085036e+07 2.3711131079181656e+07 2.3671003624433737e+07 2.3633326641979638e+07 2.3606725983649340e+07 2.3579886338543888e+07 2.3552508912186079e+07 2.3523836908193965e+07 2.3494259718704917e+07 2.3462928042405564e+07 2.3430888153382331e+07 2.3395292631379969e+07 2.3357197689059518e+07 2.3315902300028063e+07 2.3270859048566181e+07 2.3221402734262262e+07 2.3166783993214786e+07 2.3105927811999757e+07 2.3038958255552508e+07 2.2963344206339434e+07 2.2878567448923029e+07 2.2783397860279523e+07 2.2676511635190945e+07 2.2556543590307783e+07 2.2422124394359000e+07 2.2271741194659825e+07 2.2105599855136033e+07 2.1920790860410079e+07 2.1717950214413226e+07 2.1497547159115676e+07 2.1261310463751353e+07 2.1012181509213738e+07 2.0755758884963136e+07 2.0500375083784603e+07 2.0259677114027571e+07 2.0050816828142870e+07 1.9900665405760396e+07 1.9846653343062393e+07 1.9943176253240187e+07 2.0269393334904902e+07 2.0945260778058574e+07 2.2160673173843682e+07 2.4235608060999081e+07 3.9475255278658574e+06 +1.1576825608536536e+01 8.6243006467319280e+07 8.6234332793972954e+07 8.6219580733672053e+07 8.6199792833487883e+07 8.6178983791262656e+07 8.6163730176958904e+07 8.6157099456125811e+07 8.6154012087361529e+07 8.6149037817960203e+07 8.6140673791773394e+07 8.6129059124150261e+07 8.6113776968682095e+07 8.6094103748418882e+07 8.6069286362081975e+07 8.6038521495915830e+07 8.6000834566140831e+07 8.5955057097614899e+07 8.5899825935968757e+07 8.5833547315788388e+07 8.5754343468424976e+07 8.5660017281548813e+07 8.5547952905462205e+07 8.5414551745495081e+07 8.5253629480508506e+07 8.5058408747938424e+07 8.4825478072011918e+07 8.4551068348401263e+07 8.4229223033706352e+07 8.3852649113234341e+07 8.3413042457514569e+07 8.2901105777888402e+07 8.2306535069391698e+07 8.1618045721242651e+07 8.0823460760322690e+07 7.9909889812589303e+07 7.8864009117050678e+07 7.7672495490628704e+07 7.6322626025499135e+07 7.4803086365932077e+07 7.3104970258080170e+07 7.1075405531160221e+07 6.8833526879045695e+07 6.6387780194204770e+07 6.3756860795765318e+07 6.0970752120942377e+07 5.8070668050532237e+07 5.5107528280230492e+07 5.2138815278753191e+07 4.9224081460209981e+07 4.6419433278148293e+07 4.3772422662462294e+07 4.1319055556975216e+07 3.9082142503924094e+07 3.7069103565195218e+07 3.5275694943141565e+07 3.3689892602512263e+07 3.2294076971776530e+07 3.1068762081646688e+07 2.9994144449936055e+07 2.9052698855463076e+07 2.8227857355113920e+07 2.7506370098675285e+07 2.6875715744012780e+07 2.6326786397639748e+07 2.5850459707887307e+07 2.5439094674143482e+07 2.5086759821241509e+07 2.4787186504520703e+07 2.4534333066823438e+07 2.4323783796745032e+07 2.4150049648713976e+07 2.4009134160055649e+07 2.3896441544716869e+07 2.3808015143460460e+07 2.3738488185254026e+07 2.3682634086771879e+07 2.3636555795877095e+07 2.3596554088451587e+07 2.3558995431815509e+07 2.3532478398421634e+07 2.3505723156558432e+07 2.3478431836214710e+07 2.3449850014202658e+07 2.3420365855031062e+07 2.3389132749421392e+07 2.3357193571931262e+07 2.3321710009455405e+07 2.3283734887704581e+07 2.3242569385164037e+07 2.3197667807804193e+07 2.3148367047411177e+07 2.3093920096926413e+07 2.3033255345584489e+07 2.2966496361298162e+07 2.2891120136586677e+07 2.2806610021970656e+07 2.2711739763375815e+07 2.2605189719212562e+07 2.2485598999889422e+07 2.2351602580963723e+07 2.2201692388717405e+07 2.2036073536889240e+07 2.1851845804743242e+07 2.1649643134267110e+07 2.1429933291638877e+07 2.1194439608805291e+07 2.0946094215512600e+07 2.0690478092583794e+07 2.0435897544621579e+07 2.0195956563210972e+07 1.9987753186898042e+07 1.9838074023607958e+07 1.9784231862004559e+07 1.9880451193979669e+07 2.0205642256226473e+07 2.0879383963421460e+07 2.2090973680467371e+07 2.4159382426144630e+07 3.9330229316463955e+06 +1.1581793931310795e+01 8.6019343864699081e+07 8.6010692340324447e+07 8.5995977716094449e+07 8.5976239346082732e+07 8.5955480917981476e+07 8.5940261513155133e+07 8.5933640601186544e+07 8.5930552009023517e+07 8.5925579446237504e+07 8.5917223499566570e+07 8.5905622405261293e+07 8.5890359891832650e+07 8.5870713676008105e+07 8.5845931901566163e+07 8.5815212536930904e+07 8.5777582592413977e+07 8.5731875500721857e+07 8.5676730300791562e+07 8.5610555792937502e+07 8.5531477255616128e+07 8.5437301163010105e+07 8.5325415986599475e+07 8.5192229261861116e+07 8.5031567233095795e+07 8.4836663253042296e+07 8.4604111246799067e+07 8.4330149265285447e+07 8.4008831589400426e+07 8.3632878357493177e+07 8.3194000690580532e+07 8.2682918807667464e+07 8.2089348699656129e+07 8.1402028451767296e+07 8.0608806647704452e+07 7.9696821390790716e+07 7.8652780264851034e+07 7.7463393998129472e+07 7.6115975563546807e+07 7.4599247395409212e+07 7.2904339362975642e+07 7.0878701404767379e+07 6.8641278759173632e+07 6.6200537004248090e+07 6.3575171401104905e+07 6.0795139327897690e+07 5.7901597575940043e+07 5.4945375498655416e+07 5.1983834104259133e+07 4.9076380463130116e+07 4.6278964743358597e+07 4.3638987023884594e+07 4.1192318072736539e+07 3.8961660938806675e+07 3.6954369920627631e+07 3.5166171718382314e+07 3.3585041486747429e+07 3.2193383250263948e+07 3.0971747888088536e+07 2.9900376523304723e+07 2.8961786719519440e+07 2.8139454465765789e+07 2.7420166106375046e+07 2.6791436217229392e+07 2.6244183132052019e+07 2.5769311690616939e+07 2.5359203883658454e+07 2.5007946057444423e+07 2.4709288802561224e+07 2.4457209015017107e+07 2.4247304434256706e+07 2.4074103010732029e+07 2.3933620343972426e+07 2.3821274706312153e+07 2.3733121364295781e+07 2.3663809886101700e+07 2.3608129689651050e+07 2.3562195424863718e+07 2.3522319104486324e+07 2.3484878433497928e+07 2.3458444784218948e+07 2.3431773702407751e+07 2.3404568239951942e+07 2.3376076340020292e+07 2.3346684943040244e+07 2.3315550123931646e+07 2.3283711368015055e+07 2.3248339442379337e+07 2.3210483795873694e+07 2.3169447805482756e+07 2.3124687493930154e+07 2.3075541839137044e+07 2.3021266184116151e+07 2.2960792310849730e+07 2.2894243292172924e+07 2.2819104206559546e+07 2.2734859966275688e+07 2.2640288175095506e+07 2.2534073343023181e+07 2.2414858861845184e+07 2.2281284001547471e+07 2.2131845453498144e+07 2.1966747583889171e+07 2.1783099439188968e+07 2.1581532905667644e+07 2.1362514277947567e+07 2.1127761466366291e+07 2.0880197376170591e+07 2.0625385430322360e+07 2.0371605820636667e+07 2.0132419646263730e+07 1.9924871286365841e+07 1.9775663021166179e+07 1.9721990270918489e+07 1.9817906899531338e+07 2.0142074899247602e+07 2.0813696996574678e+07 2.2021475051208634e+07 2.4083376463189833e+07 3.9185714514633049e+06 +1.1586762254085054e+01 8.5796161766474962e+07 8.5787531860644057e+07 8.5772854670871839e+07 8.5753165801126853e+07 8.5732457881871164e+07 8.5717272626602352e+07 8.5710661526604995e+07 8.5707571742829010e+07 8.5702600918091685e+07 8.5694253076289192e+07 8.5682665577942625e+07 8.5667422727040082e+07 8.5647803533034980e+07 8.5623057384268582e+07 8.5592383531126902e+07 8.5554810577450722e+07 8.5509173863280252e+07 8.5454114620749503e+07 8.5388044214898765e+07 8.5309090970813125e+07 8.5215064948265880e+07 8.5103358938422322e+07 8.4970386604243934e+07 8.4809984750284731e+07 8.4615397443857491e+07 8.4383224011077881e+07 8.4109709651793420e+07 8.3788919464083150e+07 8.3413586731183410e+07 8.2975437814322114e+07 8.2465210426622778e+07 8.1872640537925646e+07 8.1186488907127947e+07 8.0394629646200806e+07 7.9484229299714863e+07 7.8442026750607520e+07 7.7254766581110254e+07 7.5909797574072331e+07 7.4395878868310183e+07 7.2704176354515612e+07 7.0682461696231261e+07 6.8449490683475226e+07 6.6013748411495209e+07 6.3393929921417184e+07 6.0619966397913449e+07 5.7732957461309671e+07 5.4783642121162802e+07 5.1829260023792677e+07 4.8929073104301006e+07 4.6138875551080905e+07 4.3505915965962552e+07 4.1065930348313279e+07 3.8841514648761883e+07 3.6839957721139386e+07 3.5056956996818431e+07 3.3480486968491737e+07 3.2092975316872846e+07 3.0875009767551679e+07 2.9806875999385886e+07 2.8871134295147676e+07 2.8051304489291646e+07 2.7334209044193588e+07 2.6707398368604552e+07 2.6161816960937202e+07 2.5688396782610498e+07 2.5279542755484331e+07 2.4929359000625018e+07 2.4631615291458372e+07 2.4380307026279431e+07 2.4171045358983982e+07 2.3998375188625731e+07 2.3858324144727085e+07 2.3746324519431099e+07 2.3658443473202091e+07 2.3589346868825614e+07 2.3533840081456263e+07 2.3488049431895692e+07 2.3448298139188226e+07 2.3410975114492904e+07 2.3384624609093815e+07 2.3358037444782514e+07 2.3330917592700515e+07 2.3302515355559938e+07 2.3273216453324415e+07 2.3242179637250770e+07 2.3210441013643261e+07 2.3175180402979206e+07 2.3137443887257587e+07 2.3096537035611942e+07 2.3051917582569465e+07 2.3002926586180657e+07 2.2948821732765261e+07 2.2888538187163528e+07 2.2822198529008575e+07 2.2747295898819041e+07 2.2663316766345736e+07 2.2569042582074214e+07 2.2463161995626032e+07 2.2344322667892158e+07 2.2211168150851823e+07 2.2062199887148336e+07 2.1897621498011515e+07 2.1714551269769784e+07 2.1513619039206460e+07 2.1295289633605357e+07 2.1061275557339642e+07 2.0814490517723937e+07 2.0560480430492766e+07 2.0307499449856393e+07 2.0069065906658974e+07 1.9862170674731269e+07 1.9713431950014763e+07 1.9659928122623373e+07 1.9755542920551173e+07 2.0078690807237811e+07 2.0748199405529436e+07 2.1952176786711060e+07 2.4007589626028214e+07 3.9041709172759242e+06 +1.1591730576859312e+01 8.5573458841817051e+07 8.5564850836087018e+07 8.5550210964677081e+07 8.5530571557960644e+07 8.5509914057694390e+07 8.5494762892461941e+07 8.5488161607450426e+07 8.5485070663769126e+07 8.5480101608184114e+07 8.5471761896504834e+07 8.5460188016642660e+07 8.5444964848515615e+07 8.5425372693342403e+07 8.5400662183625773e+07 8.5370033851517543e+07 8.5332517893996865e+07 8.5286951557680517e+07 8.5231978267372638e+07 8.5166011952490926e+07 8.5087183984119236e+07 8.4993308006176814e+07 8.4881781128883526e+07 8.4749023139075682e+07 8.4588881396826893e+07 8.4394610683251545e+07 8.4162815725254729e+07 8.3889748865611777e+07 8.3569486012211591e+07 8.3194773585091516e+07 8.2757353175048918e+07 8.2247979976072967e+07 8.1656409919591427e+07 8.0971426415970981e+07 8.0180929076993778e+07 7.9272112852080658e+07 7.8231747877341390e+07 7.7046612531768396e+07 7.5704091337523505e+07 7.4192980052195534e+07 7.2504480486628965e+07 7.0486685643975183e+07 6.8258161874762401e+07 6.5827413623241469e+07 6.3213135549525097e+07 6.0445232511138968e+07 5.7564746877212994e+07 5.4622327312319614e+07 5.1675092200686969e+07 4.8782158550518721e+07 4.5999164876730971e+07 4.3373208677293748e+07 4.0939891589378655e+07 3.8721702859284937e+07 3.6725866213737898e+07 3.4948050047580190e+07 3.3376228338618141e+07 3.1992852483482130e+07 3.0778547051502593e+07 2.9713642227708466e+07 2.8780740948176470e+07 2.7963406806207120e+07 2.7248498305745319e+07 2.6623601603269890e+07 2.6079687299590431e+07 2.5607714408040356e+07 2.5200110721464712e+07 2.4850998089284491e+07 2.4554165415359579e+07 2.4303626549520895e+07 2.4095006023864679e+07 2.3922865638689689e+07 2.3783245021362241e+07 2.3671590445358403e+07 2.3583980933230616e+07 2.3515098597922403e+07 2.3459764727851342e+07 2.3414117283630785e+07 2.3374490660114195e+07 2.3337284943204988e+07 2.3311017342093315e+07 2.3284513853275552e+07 2.3257479364659116e+07 2.3229166531713150e+07 2.3199959857444074e+07 2.3169020761612009e+07 2.3137381981794912e+07 2.3102232365026332e+07 2.3064614636469595e+07 2.3023836551084798e+07 2.2979357550282016e+07 2.2930520766204208e+07 2.2876586221778169e+07 2.2816492454779502e+07 2.2750361553597275e+07 2.2675694696817111e+07 2.2591979907534465e+07 2.2498002471804518e+07 2.2392455166993942e+07 2.2273989910657957e+07 2.2141254524527844e+07 2.1992755188692730e+07 2.1828694782043893e+07 2.1646200803460110e+07 2.1445901046397418e+07 2.1228258875083491e+07 2.0994981403489374e+07 2.0748973167537764e+07 2.0495762626236361e+07 2.0243577971173126e+07 2.0005894888675425e+07 1.9799650900999911e+07 1.9651380362503644e+07 1.9598044970667634e+07 1.9693358808404319e+07 2.0015489524249312e+07 2.0682890719196171e+07 2.1883078388497755e+07 2.3932021369480338e+07 3.8898211595614762e+06 +1.1596698899633571e+01 8.5351234518370256e+07 8.5342648732607409e+07 8.5328046019523054e+07 8.5308455984946147e+07 8.5287848819091424e+07 8.5272731684985876e+07 8.5266140217805803e+07 8.5263048145772249e+07 8.5258080890292510e+07 8.5249749333738446e+07 8.5238189094666824e+07 8.5222985629358113e+07 8.5203420529837132e+07 8.5178745672251955e+07 8.5148162870309532e+07 8.5110703913649157e+07 8.5065207954969823e+07 8.5010320611179680e+07 8.4944458375668854e+07 8.4865755664404675e+07 8.4772029704980671e+07 8.4660681924656868e+07 8.4528138231859788e+07 8.4368256536658257e+07 8.4174302333046883e+07 8.3942885748780504e+07 8.3670266263487935e+07 8.3350530587369651e+07 8.2976438268899620e+07 8.2539746118114710e+07 8.2031226796457291e+07 8.1440656179362237e+07 8.0756840306336805e+07 7.9967704260520667e+07 7.9060471359804377e+07 7.8021942947447315e+07 7.6838931141887128e+07 7.5498856133869141e+07 7.3990550214313254e+07 7.2305251012929484e+07 7.0291372486278504e+07 6.8067291555577621e+07 6.5641531846700780e+07 6.3032787478306539e+07 6.0270936848123275e+07 5.7396964994560763e+07 5.4461430237334594e+07 5.1521329798728846e+07 4.8635635969344221e+07 4.5859831896584332e+07 4.3240864347467788e+07 4.0814201002553202e+07 3.8602224796890251e+07 3.6612094646471225e+07 3.4839450140832916e+07 3.3272264889227428e+07 3.1893014063095819e+07 3.0682359072554443e+07 2.9620674558835417e+07 2.8690606045533020e+07 2.7875760798103411e+07 2.7163033285603095e+07 2.6540045327404443e+07 2.5997793564335238e+07 2.5527263992042139e+07 2.5120907214450173e+07 2.4772862762893185e+07 2.4476938619355254e+07 2.4227167034634408e+07 2.4019185882799372e+07 2.3847573818202566e+07 2.3708382433890928e+07 2.3597071946335349e+07 2.3509733208402220e+07 2.3441064538855582e+07 2.3385903095512047e+07 2.3340398447715793e+07 2.3300896135790840e+07 2.3263807388999630e+07 2.3237622453135468e+07 2.3211202398455840e+07 2.3184253027005758e+07 2.3156029340285335e+07 2.3126914627847742e+07 2.3096072970200580e+07 2.3064533746352185e+07 2.3029494803212918e+07 2.2991995519064575e+07 2.2951345828402724e+07 2.2907006874560434e+07 2.2858323857849397e+07 2.2804559130979422e+07 2.2744654594910532e+07 2.2678731848640490e+07 2.2604300084982879e+07 2.2520848876174234e+07 2.2427167332744785e+07 2.2321952347908124e+07 2.2203860083693497e+07 2.2071542619136602e+07 2.1923510858070664e+07 2.1759966939602032e+07 2.1578047548021607e+07 2.1378378439587779e+07 2.1161421519678447e+07 2.0928878527414069e+07 2.0683644853820469e+07 2.0431231551499423e+07 2.0179840924305007e+07 1.9942906137436330e+07 1.9737311514956478e+07 1.9589507811813895e+07 1.9536340369425021e+07 1.9631354115328312e+07 1.9952470595173605e+07 2.0617770467270061e+07 2.1814179359003436e+07 2.3856671149410278e+07 3.8755220093137226e+06 +1.1601667222407830e+01 8.5129488523987964e+07 8.5120924878682375e+07 8.5106359298206136e+07 8.5086818457666889e+07 8.5066261538405329e+07 8.5051178377604738e+07 8.5044596730724350e+07 8.5041503561726987e+07 8.5036538137269109e+07 8.5028214760654628e+07 8.5016668184474498e+07 8.5001484441752419e+07 8.4981946414267227e+07 8.4957307221649274e+07 8.4926769958686024e+07 8.4889368007186487e+07 8.4843942425332397e+07 8.4789141021883905e+07 8.4723382853214055e+07 8.4644805379747555e+07 8.4551229411579773e+07 8.4440060691721082e+07 8.4307731247042909e+07 8.4148109532660484e+07 8.3954471754237682e+07 8.3723433440352663e+07 8.3451261201240122e+07 8.3132052542095631e+07 8.2758580131503955e+07 8.2322615988163903e+07 8.1814950227281049e+07 8.1225378650996655e+07 8.0542729905532777e+07 7.9754954516535431e+07 7.8849304134068161e+07 7.7812611262622833e+07 7.6631721702626854e+07 7.5294091242622331e+07 7.3788588621477917e+07 7.2106487186671719e+07 7.0096521461234733e+07 6.7876878948408008e+07 6.5456102289084770e+07 6.2852884900745161e+07 6.0097078589487977e+07 5.7229610984617084e+07 5.4300950061810628e+07 5.1367971982478470e+07 4.8489504529209800e+07 4.5720875787775971e+07 4.3108882166989669e+07 4.0688857795600392e+07 3.8483079689207181e+07 3.6498642268504061e+07 3.4731156547924682e+07 3.3168595913523279e+07 3.1793459369830031e+07 3.0586445164392043e+07 2.9527972344447043e+07 2.8600728955174450e+07 2.7788365847586978e+07 2.7077813379465565e+07 2.6456728948182382e+07 2.5916135172472797e+07 2.5447044960799769e+07 2.5041931668299221e+07 2.4694952461855382e+07 2.4399934349551011e+07 2.4150927932506662e+07 2.3943584390690558e+07 2.3772499185376216e+07 2.3633735843271479e+07 2.3522768485557817e+07 2.3435699763675828e+07 2.3367244158017658e+07 2.3312254652011152e+07 2.3266892392754678e+07 2.3227514035665609e+07 2.3190541922168657e+07 2.3164439413123567e+07 2.3138102551823951e+07 2.3111238051854238e+07 2.3083103254039839e+07 2.3054080237961106e+07 2.3023335737152979e+07 2.2991895782169152e+07 2.2956967193181545e+07 2.2919586011546720e+07 2.2879064344970733e+07 2.2834865033839155e+07 2.2786335340636555e+07 2.2732739941149749e+07 2.2673024089691367e+07 2.2607308897754192e+07 2.2533111548629839e+07 2.2449923159444854e+07 2.2356536654258508e+07 2.2251653030165050e+07 2.2133932681420676e+07 2.2002031932132348e+07 2.1854466396094758e+07 2.1691437475282222e+07 2.1510091012173310e+07 2.1311050732026592e+07 2.1094777085571624e+07 2.0862966452606048e+07 2.0618505105626635e+07 2.0366886741101824e+07 2.0116287849754483e+07 1.9880099198840819e+07 1.9675152067199260e+07 1.9527813851903223e+07 1.9474813874103203e+07 1.9569528394334968e+07 1.9889633565728445e+07 2.0552838180299930e+07 2.1745479201529048e+07 2.3781538422612291e+07 3.8612732980416100e+06 +1.1606635545182089e+01 8.4908220096739560e+07 8.4899678649030328e+07 8.4885150123261318e+07 8.4865658350753516e+07 8.4845151586932003e+07 8.4830102342819184e+07 8.4823530518338755e+07 8.4820436283641458e+07 8.4815472720840141e+07 8.4807157548822969e+07 8.4795624657450527e+07 8.4780460656902790e+07 8.4760949717673078e+07 8.4736346202438146e+07 8.4705854486824363e+07 8.4668509544379413e+07 8.4623154338164717e+07 8.4568438867965296e+07 8.4502784753122091e+07 8.4424332497302398e+07 8.4330906492107749e+07 8.4219916795022354e+07 8.4087801548333302e+07 8.3928439746741384e+07 8.3735118306755200e+07 8.3504458157543927e+07 8.3232733033785462e+07 8.2914051228180215e+07 8.2541198520913228e+07 8.2105962128869757e+07 8.1599149607317060e+07 8.1010576667530879e+07 8.0329094539982095e+07 7.9542679164094597e+07 7.8638610485512912e+07 7.7603752123968139e+07 7.6424983504424885e+07 7.5089795942661956e+07 7.3587094540022239e+07 7.1908188260734066e+07 6.9902131806470335e+07 6.7686923275613517e+07 6.5271124157566614e+07 6.2673427009936571e+07 5.9923656916262560e+07 5.7062684019063123e+07 5.4140885951964609e+07 5.1215017917153299e+07 4.8343763399226323e+07 4.5582295728394181e+07 4.2977261327387817e+07 4.0563861177222781e+07 3.8364266764894836e+07 3.6385508330089629e+07 3.4623168541249417e+07 3.3065220705750424e+07 3.1694187718884092e+07 3.0490804661799964e+07 2.9435534937312849e+07 2.8511109046199474e+07 2.7701221338326570e+07 2.6992837983970154e+07 2.6373651873824734e+07 2.5834711542338699e+07 2.5367056741499618e+07 2.4963183517823108e+07 2.4617266627643503e+07 2.4323152053002782e+07 2.4074908694996241e+07 2.3868201003393430e+07 2.3697641199411653e+07 2.3559304711422358e+07 2.3448679527161032e+07 2.3361880065019645e+07 2.3293636922803108e+07 2.3238818865866087e+07 2.3193598588271763e+07 2.3154343830190174e+07 2.3117488013982728e+07 2.3091467693928629e+07 2.3065213785828650e+07 2.3038433912270974e+07 2.3010387746669687e+07 2.2981456162156723e+07 2.2950808537514895e+07 2.2919467565004539e+07 2.2884649011506878e+07 2.2847385591329958e+07 2.2806991579158191e+07 2.2762931507485334e+07 2.2714554695015244e+07 2.2661128133943625e+07 2.2601600422149498e+07 2.2536092185483422e+07 2.2462128573980391e+07 2.2379202245499235e+07 2.2286109926586412e+07 2.2181556706416521e+07 2.2064207199177478e+07 2.1932721961840466e+07 2.1785621304492902e+07 2.1623105894479584e+07 2.1442330705455091e+07 2.1243917437806610e+07 2.1028325091785684e+07 2.0797244703367509e+07 2.0553553452835370e+07 2.0302727730661202e+07 2.0052918288871959e+07 1.9817473619633555e+07 1.9613172109123074e+07 1.9466298037518352e+07 1.9413465040643405e+07 1.9507881199218627e+07 1.9826977982406918e+07 2.0488093389670532e+07 2.1676977420282811e+07 2.3706622646855269e+07 3.8470748577679400e+06 +1.1611603867956347e+01 8.4687429168706790e+07 8.4678909286037803e+07 8.4664417829221919e+07 8.4644975033203930e+07 8.4624518335125655e+07 8.4609502952468216e+07 8.4602940951712519e+07 8.4599845682413802e+07 8.4594884011844739e+07 8.4586577068959966e+07 8.4575057884058475e+07 8.4559913644926518e+07 8.4540429809908450e+07 8.4515861984181926e+07 8.4485415823910728e+07 8.4448127894037709e+07 8.4402843061492145e+07 8.4348213517260477e+07 8.4282663442314118e+07 8.4204336383134320e+07 8.4111060311801493e+07 8.4000249598545894e+07 8.3868348498246655e+07 8.3709246540017009e+07 8.3516241349770203e+07 8.3285959257207498e+07 8.3014681115146786e+07 8.2696525996413335e+07 8.2324292784368694e+07 8.1889783883139908e+07 8.1383824274443924e+07 8.0796249561207861e+07 8.0115933535413370e+07 7.9330877521428615e+07 7.8428389724031508e+07 7.7395364831983015e+07 7.6218715837304994e+07 7.4885969512464374e+07 7.3386067235859588e+07 7.1710353487760663e+07 6.9708202759665400e+07 6.7497423759377688e+07 6.5086596659392923e+07 6.2494412999123916e+07 5.9750671009687245e+07 5.6896183270056516e+07 5.3981237074561961e+07 5.1062466768705860e+07 4.8198411749334179e+07 4.5444090897397220e+07 4.2846001021150015e+07 4.0439210357186630e+07 3.8245785253751002e+07 3.6272692082590923e+07 3.4515485394355088e+07 3.2962138561344635e+07 3.1595198426589545e+07 3.0395436900624804e+07 2.9343361691254076e+07 2.8421745688668195e+07 2.7614326655053318e+07 2.6908106496918771e+07 2.6290813513603110e+07 2.5753522093311578e+07 2.5287298762305159e+07 2.4884662198916718e+07 2.4539804702684365e+07 2.4246591177777052e+07 2.3999108774912387e+07 2.3793035177711722e+07 2.3622999320437942e+07 2.3485088501257498e+07 2.3374804536279168e+07 2.3288273579296123e+07 2.3220242301469039e+07 2.3165595206604306e+07 2.3120516504744880e+07 2.3081384990702782e+07 2.3044645136626359e+07 2.3018706768324763e+07 2.2992535573860962e+07 2.2965840082254484e+07 2.2937882292833105e+07 2.2909041875751205e+07 2.2878490847294200e+07 2.2847248571613304e+07 2.2812539735700719e+07 2.2775393736780629e+07 2.2735127010227453e+07 2.2691205775769699e+07 2.2642981402407337e+07 2.2589723191995885e+07 2.2530383076280914e+07 2.2465081197310183e+07 2.2391350648219675e+07 2.2308685623400643e+07 2.2215886640919752e+07 2.2111662870201085e+07 2.1994683133226961e+07 2.1863612207532387e+07 2.1716975085851036e+07 2.1554971703519300e+07 2.1374766138339110e+07 2.1176978071898337e+07 2.0962065058234170e+07 2.0731712804876775e+07 2.0488789426196240e+07 2.0238754056640521e+07 1.9989731783812221e+07 1.9755028947340395e+07 1.9551371192931008e+07 1.9404959924248327e+07 1.9352293425832853e+07 1.9446412084597874e+07 1.9764503392539982e+07 2.0423535627625525e+07 2.1608673520335760e+07 2.3631923280881379e+07 3.8329265210280251e+06 +1.1616572190730606e+01 8.4467114443512917e+07 8.4458616464107811e+07 8.4444161855124190e+07 8.4424767871748239e+07 8.4404361152985856e+07 8.4389379577226236e+07 8.4382827400904670e+07 8.4379731128153890e+07 8.4374771380096242e+07 8.4366472690747678e+07 8.4354967233781621e+07 8.4339842775182053e+07 8.4320386059979573e+07 8.4295853935521707e+07 8.4265453338303968e+07 8.4228222423910707e+07 8.4183007962903351e+07 8.4128464336341962e+07 8.4063018286808312e+07 8.3984816402493566e+07 8.3891690234740824e+07 8.3781058465434313e+07 8.3649371458646670e+07 8.3490529272544056e+07 8.3297840241479322e+07 8.3067936095142648e+07 8.2797104798556104e+07 8.2479476196851552e+07 8.2107862268089786e+07 8.1674080592996672e+07 8.1168973565907508e+07 8.0582396663456559e+07 7.9903246216783091e+07 7.9119548906228453e+07 7.8218641158844590e+07 7.7187448686462492e+07 7.6012917990717649e+07 7.4682611229991496e+07 7.3185505974508330e+07 7.1512982119907841e+07 6.9514733557997972e+07 6.7308379621746659e+07 6.4902519001748890e+07 6.2315842061747745e+07 5.9578120051234454e+07 5.6730107910156228e+07 5.3822002596889399e+07 5.0910317703666344e+07 4.8053448750321753e+07 4.5306260474576637e+07 4.2715100441714942e+07 4.0314904546299368e+07 3.8127634386616319e+07 3.6160192778478295e+07 3.4408106381873742e+07 3.2859348776782762e+07 3.1496490810371544e+07 3.0300341217854310e+07 2.9251451961187582e+07 2.8332638253792137e+07 2.7527681183587763e+07 2.6823618317041274e+07 2.6208213277781025e+07 2.5672566245752994e+07 2.5207770452410355e+07 2.4806367148368109e+07 2.4462566130404647e+07 2.4170251172883470e+07 2.3923527626045167e+07 2.3718086371458288e+07 2.3548573009584598e+07 2.3411086676614773e+07 2.3301142978963621e+07 2.3214879774350177e+07 2.3147059763333458e+07 2.3092583144645948e+07 2.3047645613629077e+07 2.3008636989537962e+07 2.2972012763255574e+07 2.2946156110047869e+07 2.2920067390245125e+07 2.2893456036762096e+07 2.2865586368093263e+07 2.2836836854973581e+07 2.2806382143423811e+07 2.2775238279616099e+07 2.2740638844213370e+07 2.2703609927196760e+07 2.2663470118410848e+07 2.2619687319935430e+07 2.2571614945124120e+07 2.2518524598859932e+07 2.2459371536976226e+07 2.2394275419615272e+07 2.2320777259401824e+07 2.2238372783124577e+07 2.2145866289355066e+07 2.2041971016012084e+07 2.1925359980701834e+07 2.1794702169344969e+07 2.1648527243683916e+07 2.1487034409615628e+07 2.1307396822120123e+07 2.1110232150150269e+07 2.0895996505641609e+07 2.0666370283163156e+07 2.0424212557291940e+07 2.0174965256338734e+07 1.9926727877585631e+07 1.9692764730316110e+07 1.9489748871648747e+07 1.9343799068422809e+07 1.9291298587211274e+07 1.9385120605889216e+07 1.9702209344265513e+07 2.0359164427231070e+07 2.1540567007683516e+07 2.3557439784409877e+07 3.8188281208683383e+06 +1.1621540513504865e+01 8.4247275466767609e+07 8.4238799336889789e+07 8.4224381562087968e+07 8.4205036236084580e+07 8.4184679410053387e+07 8.4169731587090790e+07 8.4163189235281020e+07 8.4160091989869475e+07 8.4155134194655851e+07 8.4146843782911494e+07 8.4135352075144514e+07 8.4120247415931225e+07 8.4100817835855454e+07 8.4076321424231082e+07 8.4045966397301853e+07 8.4008792501002625e+07 8.3963648408636883e+07 8.3909190691161305e+07 8.3843848651750028e+07 8.3765771919573784e+07 8.3672795624375403e+07 8.3562342757749245e+07 8.3430869790258050e+07 8.3272287303574190e+07 8.3079914339065567e+07 8.2850388026396468e+07 8.2580003436220765e+07 8.2262901178624704e+07 8.1891906317645952e+07 8.1458851599695086e+07 8.0954596817923039e+07 8.0369017305034116e+07 7.9691031908347577e+07 7.8908692635277495e+07 7.8009364098564848e+07 7.6980002986745879e+07 7.5807589253574073e+07 7.4479720372811213e+07 7.2985410021162108e+07 7.1316073409163341e+07 6.9321723438668773e+07 6.7119790084812984e+07 6.4718890391926095e+07 6.2137713391342446e+07 5.9406003222759217e+07 5.6564457112233698e+07 5.3663181686876915e+07 5.0758569889295302e+07 4.7908873573734358e+07 4.5168803640715659e+07 4.2584558783528768e+07 4.0190942956394136e+07 3.8009813395346180e+07 3.6048009671275854e+07 3.4301030779543772e+07 3.2756850649703566e+07 3.1398064188768040e+07 3.0205516951520752e+07 2.9159805103145238e+07 2.8243786113816187e+07 2.7441284310737122e+07 2.6739372844167512e+07 2.6125850577636864e+07 2.5591843421018206e+07 2.5128471241995439e+07 2.4728297804034684e+07 2.4385550355179112e+07 2.4094131488379218e+07 2.3848164703194872e+07 2.3643354043378167e+07 2.3474361728958752e+07 2.3337298702310778e+07 2.3227694322244603e+07 2.3141698118990764e+07 2.3074088778601546e+07 2.3019782151410606e+07 2.2974985387303643e+07 2.2936099299931735e+07 2.2899590367959753e+07 2.2873815193800475e+07 2.2847808710265897e+07 2.2821281251671199e+07 2.2793499448988982e+07 2.2764840577003866e+07 2.2734481903827924e+07 2.2703436167621482e+07 2.2668945816438951e+07 2.2632033642828312e+07 2.2592020384855721e+07 2.2548375622129936e+07 2.2500454806437586e+07 2.2447531838983238e+07 2.2388565290065173e+07 2.2323674339742836e+07 2.2250407896558035e+07 2.2168263215544786e+07 2.2076048364901319e+07 2.1972480639234271e+07 2.1856237239666637e+07 2.1725991348327771e+07 2.1580277282382235e+07 2.1419293520846128e+07 2.1240222269007847e+07 2.1043679189281210e+07 2.0830118955657247e+07 2.0601216665079378e+07 2.0359822378509272e+07 2.0111360867869422e+07 1.9863906113994047e+07 1.9630680517726090e+07 1.9428304699077208e+07 1.9282815027193993e+07 1.9230480083151799e+07 1.9324006319295194e+07 1.9640095386528563e+07 2.0294979322384238e+07 2.1472657389177904e+07 2.3483171618115403e+07 3.8047794908451955e+06 +1.1626508836279124e+01 8.4027911478143886e+07 8.4019457235991254e+07 8.4005076230707198e+07 8.3985779501403704e+07 8.3965472475539640e+07 8.3950558350809634e+07 8.3944025822833732e+07 8.3940927635777533e+07 8.3935971823388934e+07 8.3927689713299766e+07 8.3916211775804043e+07 8.3901126934515849e+07 8.3881724504768834e+07 8.3857263817101657e+07 8.3826954367353261e+07 8.3789837491260618e+07 8.3744763764239937e+07 8.3690391946507558e+07 8.3625153901284397e+07 8.3547202297761157e+07 8.3454375842986032e+07 8.3344101836780310e+07 8.3212842853020161e+07 8.3054519991457269e+07 8.2862462999038458e+07 8.2633314405065417e+07 8.2363376379620686e+07 8.2046800290009558e+07 8.1676424277617469e+07 8.1244096243670240e+07 8.0740693366126344e+07 8.0156110815848500e+07 7.9479289933658749e+07 7.8698308024869904e+07 7.7800557851113290e+07 7.6773027031425253e+07 7.5602728914249837e+07 7.4277296217858732e+07 7.2785778640538335e+07 7.1119626607098952e+07 6.9129171638486505e+07 6.6931654370430388e+07 6.4535710037076667e+07 6.1960026181590408e+07 5.9234319706339940e+07 5.6399230049669169e+07 5.3504773512881115e+07 5.0607222493567839e+07 4.7764685391907625e+07 4.5031719577423654e+07 4.2454375241984226e+07 4.0067324800361551e+07 3.7892321512991451e+07 3.5936142015710264e+07 3.4194257864272982e+07 3.2654643478831910e+07 3.1299917881391060e+07 3.0110963440827183e+07 2.9068420474190593e+07 2.8155188642050929e+07 2.7355135424385738e+07 2.6655369479163192e+07 2.6043724825522456e+07 2.5511353041524634e+07 2.5049400562241577e+07 2.4650453604751803e+07 2.4308756822409239e+07 2.4018231575198341e+07 2.3773019462079596e+07 2.3568837653211668e+07 2.3400364941597890e+07 2.3263724044127621e+07 2.3154458034136642e+07 2.3068728082971700e+07 2.3001328818439085e+07 2.2947191699222442e+07 2.2902535299119394e+07 2.2863771396123853e+07 2.2827377425795663e+07 2.2801683495182853e+07 2.2775759010165446e+07 2.2749315203833032e+07 2.2721621013009049e+07 2.2693052519988004e+07 2.2662789607305765e+07 2.2631841715159990e+07 2.2597460132689547e+07 2.2560664364840928e+07 2.2520777291675981e+07 2.2477270165454775e+07 2.2429500470531568e+07 2.2376744397812925e+07 2.2317963822330292e+07 2.2253277445905771e+07 2.2180242049574863e+07 2.2098356412459306e+07 2.2006432361465424e+07 2.1903191236157980e+07 2.1787314409071330e+07 2.1657479246419605e+07 2.1512224707228273e+07 2.1351748546176691e+07 2.1173241992088266e+07 2.0977318706855111e+07 2.0764431930765565e+07 2.0536251478386816e+07 2.0295618423158210e+07 2.0047940430215757e+07 1.9801266037665464e+07 1.9568775859549295e+07 1.9367038229825784e+07 1.9222007358536504e+07 1.9169837472795669e+07 1.9263068781830210e+07 1.9578161069095902e+07 2.0230979847843345e+07 2.1404944172588628e+07 2.3409118243695386e+07 3.7907804650234161e+06 +1.1631477159053382e+01 8.3809022266893655e+07 8.3800589651395202e+07 8.3786245213803157e+07 8.3766997044658720e+07 8.3746739718294561e+07 8.3731859236269072e+07 8.3725336530944765e+07 8.3722237433055118e+07 8.3717283633449182e+07 8.3709009848776013e+07 8.3697545702439427e+07 8.3682480697526619e+07 8.3663105432791829e+07 8.3638680479953066e+07 8.3608416613904446e+07 8.3571356759772301e+07 8.3526353394269869e+07 8.3472067466363177e+07 8.3406933398684204e+07 8.3329106899575278e+07 8.3236430252121180e+07 8.3126335062967911e+07 8.2995290006019950e+07 8.2837226693639532e+07 8.2645485576926947e+07 8.2416714584407717e+07 8.2147222979351625e+07 8.1831172878467456e+07 8.1461415491876319e+07 8.1029813864530012e+07 8.0527262545276538e+07 7.9943676525131881e+07 7.9268019615469724e+07 7.8488394390489310e+07 7.7592221723806366e+07 7.6566520118686765e+07 7.5398336260516375e+07 7.4075338041700393e+07 7.2586611096896574e+07 7.0923640965073317e+07 6.8937077394162640e+07 6.6743971700456448e+07 6.4352977144559719e+07 6.1782779626362078e+07 5.9063068684310086e+07 5.6234425896330982e+07 5.3346777243930683e+07 5.0456274685129523e+07 4.7620883378023371e+07 4.4895007467292987e+07 4.2324549013480954e+07 3.9944049292126149e+07 3.7775157973598830e+07 3.5824589067497939e+07 3.4087786914019421e+07 3.2552726564056490e+07 3.1202051209006343e+07 3.0016680026001029e+07 2.8977297432471551e+07 2.8066845212905832e+07 2.7269233913486708e+07 2.6571607623906691e+07 2.5961835434795465e+07 2.5431094530691758e+07 2.4970557845404532e+07 2.4572833990332812e+07 2.4232184978494611e+07 2.3942550885353878e+07 2.3698091359448396e+07 2.3494536661663357e+07 2.3326582111530665e+07 2.3190362168788504e+07 2.3081433583547655e+07 2.2995969136991031e+07 2.2928779355005365e+07 2.2874811261399858e+07 2.2830294823344983e+07 2.2791652753263880e+07 2.2755373412744567e+07 2.2729760490809698e+07 2.2703917767107520e+07 2.2677557371014867e+07 2.2649950538545989e+07 2.2621472162992135e+07 2.2591304733639598e+07 2.2560454402748261e+07 2.2526181274256311e+07 2.2489501575338952e+07 2.2449740321867231e+07 2.2406370433936406e+07 2.2358751422531314e+07 2.2306161761665218e+07 2.2247566621423017e+07 2.2183084227289889e+07 2.2110279209324010e+07 2.2028651866613317e+07 2.1937017773895968e+07 2.1834102303991530e+07 2.1718590988784004e+07 2.1589165366462126e+07 2.1444369024419826e+07 2.1284398995473165e+07 2.1106455505310621e+07 2.0911150221350234e+07 2.0698934954298131e+07 2.0471474251637653e+07 2.0231600225320630e+07 1.9984703483153552e+07 1.9738807194062904e+07 1.9507050306580227e+07 1.9305949019337285e+07 1.9161375621185418e+07 1.9109370316108193e+07 1.9202307551293977e+07 1.9516405942525312e+07 2.0167165539200466e+07 2.1337426866530001e+07 2.3335279123758532e+07 3.7768308779749800e+06 +1.1636445481827641e+01 8.3590606935435861e+07 8.3582195857687324e+07 8.3567887899641886e+07 8.3548688240569830e+07 8.3528480506273955e+07 8.3513633610190421e+07 8.3507120726007953e+07 8.3504020747943297e+07 8.3499068990921050e+07 8.3490803555390626e+07 8.3479353220850736e+07 8.3464308070362806e+07 8.3444959985270113e+07 8.3420570777782232e+07 8.3390352501571491e+07 8.3353349670629263e+07 8.3308416662360981e+07 8.3254216613808170e+07 8.3189186506375462e+07 8.3111485086502641e+07 8.3018958212377816e+07 8.2909041795703411e+07 8.2778210607361004e+07 8.2620406766660973e+07 8.2428981427326903e+07 8.2200587916828215e+07 8.1931542585085467e+07 8.1616018290650263e+07 8.1246879303425282e+07 8.0816003801090792e+07 8.0314303689348310e+07 7.9731713761325523e+07 7.9057220275982022e+07 7.8278951047098711e+07 7.7384355023414403e+07 7.6360481546048626e+07 7.5194410579768240e+07 7.3873845120462403e+07 7.2387906654278606e+07 7.0728115734146789e+07 6.8745439942195401e+07 6.6556741296580218e+07 6.4170690921709612e+07 6.1605972919663012e+07 5.8892249339476705e+07 5.6070043826436065e+07 5.3189192049561448e+07 5.0305725633325376e+07 4.7477466706041113e+07 4.4758666493743457e+07 4.2195079295427851e+07 3.9821115646657184e+07 3.7658322012340449e+07 3.5713350083551824e+07 3.3981617207898311e+07 3.2451099206301961e+07 3.1104463493479814e+07 2.9922666048413187e+07 2.8886435337278116e+07 2.7978755201812457e+07 2.7183579168054778e+07 2.6488086681337416e+07 2.5880181819832321e+07 2.5351067312976312e+07 2.4891942524646692e+07 2.4495438401602283e+07 2.4155834270785339e+07 2.3867088871806521e+07 2.3623379852995761e+07 2.3420450530407302e+07 2.3253012703719761e+07 2.3117212544012301e+07 2.3008620440411232e+07 2.2923420752717581e+07 2.2856439861360077e+07 2.2802640312209841e+07 2.2758263435240537e+07 2.2719742847470414e+07 2.2683577805737067e+07 2.2658045658189122e+07 2.2632284459219638e+07 2.2606007231947709e+07 2.2578487504984200e+07 2.2550098986030601e+07 2.2520026763515096e+07 2.2489273711749326e+07 2.2455108723323364e+07 2.2418544757374454e+07 2.2378908959423501e+07 2.2335675912529960e+07 2.2288207148475360e+07 2.2235783417782221e+07 2.2177373175965924e+07 2.2113094173975658e+07 2.2040518867549244e+07 2.1959149071631335e+07 2.1867804097919665e+07 2.1765213340847418e+07 2.1650066479574677e+07 2.1521049212205023e+07 2.1376709740988608e+07 2.1217244379481323e+07 2.1039862323507197e+07 2.0845173252087206e+07 2.0633627550448973e+07 2.0406884514274660e+07 2.0167767319935773e+07 1.9921649567291159e+07 1.9676529129453216e+07 1.9445503410414428e+07 1.9245036623815309e+07 1.9100919374698602e+07 1.9049078173809148e+07 1.9141722186294079e+07 1.9454829558241460e+07 2.0103535932884760e+07 2.1270104980558723e+07 2.3261653721884977e+07 3.7629305647777244e+06 +1.1641413804601900e+01 8.3372664366328657e+07 8.3364275078480572e+07 8.3350003647451147e+07 8.3330852459014520e+07 8.3310694206257120e+07 8.3295880838226199e+07 8.3289377773346424e+07 8.3286276945895508e+07 8.3281327261152744e+07 8.3273070198162511e+07 8.3261633695881993e+07 8.3246608417779073e+07 8.3227287526536271e+07 8.3202934074661821e+07 8.3172761394099280e+07 8.3135815587167561e+07 8.3090952931255728e+07 8.3036838750982076e+07 8.2971912585742548e+07 8.2894336219266921e+07 8.2801959083438814e+07 8.2692221393602222e+07 8.2561604014315337e+07 8.2404059566287249e+07 8.2212949904119939e+07 8.1984933753919110e+07 8.1716334545808360e+07 8.1401335872406825e+07 8.1032815054519594e+07 8.0602665391518399e+07 8.0101816131606549e+07 7.9520221852141723e+07 7.8846891236514583e+07 7.8069977308833197e+07 7.7176957055927858e+07 7.6154910610355034e+07 7.4990951158799320e+07 7.3672816729883328e+07 7.2189664576290905e+07 7.0533050164957479e+07 6.8554258518874422e+07 6.6369962380495250e+07 6.3988850575951062e+07 6.1429605255790025e+07 5.8721860854832046e+07 5.5906083014727145e+07 5.3032017099968843e+07 5.0155574508149758e+07 4.7334434550748035e+07 4.4622695841150321e+07 4.2065965286186919e+07 3.9698523079978243e+07 3.7541812865488097e+07 3.5602424321854830e+07 3.3875748026125237e+07 3.2349760707696144e+07 3.1007154057768069e+07 2.9828920850508891e+07 2.8795833548925649e+07 2.7890917985294092e+07 2.7098170579116669e+07 2.6404806055444807e+07 2.5798763396094490e+07 2.5271270813791335e+07 2.4813554034191623e+07 2.4418266280385021e+07 2.4079704147644427e+07 2.3791844988498528e+07 2.3548884401412938e+07 2.3346578722091887e+07 2.3179656184136171e+07 2.3044274638439536e+07 2.2936018075592987e+07 2.2851082402799468e+07 2.2784309811554287e+07 2.2730678326821942e+07 2.2686440610996716e+07 2.2648041155788895e+07 2.2611990082679085e+07 2.2586538475795425e+07 2.2560858565552808e+07 2.2534664266288903e+07 2.2507231392604712e+07 2.2478932470055837e+07 2.2448955178610556e+07 2.2418299124539450e+07 2.2384241963051476e+07 2.2347793394936144e+07 2.2308282689219821e+07 2.2265186087123688e+07 2.2217867135376561e+07 2.2165608854392935e+07 2.2107382975492254e+07 2.2043306776983108e+07 2.1970960516956851e+07 2.1889847522063751e+07 2.1798790830220852e+07 2.1696523845747616e+07 2.1581740383113161e+07 2.1453130288280383e+07 2.1309246364942938e+07 2.1150284209845636e+07 2.0973461962398492e+07 2.0779387319272179e+07 2.0568509244293489e+07 2.0342481796600960e+07 2.0104119242822513e+07 1.9858778224112619e+07 1.9614431390944857e+07 1.9384134723459627e+07 1.9184300600297805e+07 1.9040638179410268e+07 1.8988960607464101e+07 1.9081312246243261e+07 1.9393431468413722e+07 2.0040090566159923e+07 2.1202978025059033e+07 2.3188241502681538e+07 3.7490793610139904e+06 +1.1646382127376159e+01 8.3155195162313178e+07 8.3146826904487103e+07 8.3132591911357746e+07 8.3113489065058976e+07 8.3093380183822230e+07 8.3078600284969419e+07 8.3072107037666321e+07 8.3069005391329691e+07 8.3064057808368087e+07 8.3055809141331986e+07 8.3044386491559342e+07 8.3029381103462070e+07 8.3010087420089304e+07 8.2985769733721182e+07 8.2955642654212192e+07 8.2918753871753186e+07 8.2873961562895343e+07 8.2819933239270598e+07 8.2755110997480839e+07 8.2677659657606900e+07 8.2585432224257439e+07 8.2475873214490026e+07 8.2345469583369687e+07 8.2188184447361648e+07 8.1997390360383257e+07 8.1769751446344078e+07 8.1501598209583625e+07 8.1187124968713135e+07 8.0819222086601883e+07 8.0389797973077834e+07 7.9889799204644307e+07 7.9309200124697223e+07 7.8637031817853436e+07 7.7861472489286661e+07 7.6970027126890302e+07 7.5949806608115226e+07 7.4787957283846974e+07 7.3472252145122796e+07 7.1991884126178071e+07 7.0338443508061752e+07 6.8363532360363036e+07 6.6183634173747368e+07 6.3807455314605020e+07 6.1253675829075232e+07 5.8551902413619027e+07 5.5742542636247210e+07 5.2875251565858051e+07 5.0005820480464973e+07 4.7191786087767176e+07 4.4487094694829009e+07 4.1937206185129225e+07 3.9576270809137918e+07 3.7425629770352699e+07 3.5491811041513942e+07 3.3770178650022820e+07 3.2248710371403906e+07 3.0910122225926667e+07 2.9735443775833413e+07 2.8705491428828456e+07 2.7803332940994050e+07 2.7013007538826402e+07 2.6321765151253927e+07 2.5717579579937343e+07 2.5191704459636267e+07 2.4735391809259377e+07 2.4341317069501843e+07 2.4003794058435764e+07 2.3716818690334011e+07 2.3474604464326061e+07 2.3272920700323831e+07 2.3106512019686859e+07 2.2971547921720054e+07 2.2863625960901931e+07 2.2778953560800761e+07 2.2712388680589579e+07 2.2658924781451944e+07 2.2614825827744730e+07 2.2576547156240594e+07 2.2540609722374290e+07 2.2515238423056860e+07 2.2489639566134389e+07 2.2463527954665773e+07 2.2436181682662569e+07 2.2407972096969076e+07 2.2378089461493630e+07 2.2347530124416713e+07 2.2313580477493133e+07 2.2277246972939391e+07 2.2237860997100692e+07 2.2194900444526542e+07 2.2147730871113159e+07 2.2095637560564674e+07 2.2037595510484099e+07 2.1973721528232999e+07 2.1901603651126441e+07 2.1820746713399362e+07 2.1729977468336437e+07 2.1628033318609927e+07 2.1513612201976415e+07 2.1385408100254100e+07 2.1241978405116737e+07 2.1083517999076575e+07 2.0907253938604288e+07 2.0713791943959352e+07 2.0503579561762240e+07 2.0278265629742600e+07 2.0040655530571442e+07 1.9796088995894760e+07 1.9552513526442211e+07 1.9322943798967592e+07 1.9123740506598398e+07 1.8980531596464090e+07 1.8929017179393053e+07 1.9021077291352209e+07 1.9332211226065964e+07 1.9976828977131646e+07 2.1136045511383496e+07 2.3115041931691546e+07 3.7352771027693185e+06 +1.1651350450150417e+01 8.2938197561831713e+07 8.2929850627228469e+07 8.2915652086224169e+07 8.2896597417338789e+07 8.2876537802998230e+07 8.2861791313989535e+07 8.2855307882639080e+07 8.2852205447926387e+07 8.2847259996118262e+07 8.2839019748136416e+07 8.2827610970975980e+07 8.2812625490371630e+07 8.2793359028499857e+07 8.2769077117291883e+07 8.2738995643956885e+07 8.2702163885902390e+07 8.2657441918284744e+07 8.2603499438986972e+07 8.2538781101307943e+07 8.2461454760558948e+07 8.2369376992764547e+07 8.2259996615133598e+07 8.2129806670072466e+07 8.1972780763905704e+07 8.1782302148099154e+07 8.1555040344122753e+07 8.1287332923727363e+07 8.0973384923824117e+07 8.0606099740283594e+07 8.0177400882327199e+07 7.9678252240208209e+07 7.9098647905232951e+07 7.8427641340051472e+07 7.7653435901449889e+07 7.6763564541148618e+07 7.5745168835172802e+07 7.4585428240922868e+07 7.3272150641104907e+07 7.1794564566815719e+07 7.0144295013616443e+07 6.8173260702661648e+07 6.5997755897987120e+07 6.3626504345301814e+07 6.1078183834084988e+07 5.8382373199558005e+07 5.5579421866762407e+07 5.2718894618578784e+07 4.9856462721686088e+07 4.7049520493560307e+07 4.4351862240995191e+07 4.1808801192636468e+07 3.9454358052267998e+07 3.7309771965360448e+07 3.5381509502697848e+07 3.3664908362088762e+07 3.2147947501775976e+07 3.0813367323181603e+07 2.9642234169044256e+07 2.8615408339529812e+07 2.7715999447524983e+07 2.6928089440314304e+07 2.6238963374806374e+07 2.5636629788914002e+07 2.5112367677990325e+07 2.4657455286104720e+07 2.4264590212763384e+07 2.3928103453465052e+07 2.3642009433234993e+07 2.3400539502382733e+07 2.3199475929682698e+07 2.3033579678281762e+07 2.2899031864435967e+07 2.2791443569141082e+07 2.2707033701277565e+07 2.2640675944398232e+07 2.2587379153141290e+07 2.2543418563592024e+07 2.2505260327773590e+07 2.2469436204642519e+07 2.2444144980316106e+07 2.2418626941877801e+07 2.2392597778626859e+07 2.2365337857339770e+07 2.2337217349624183e+07 2.2307429095711604e+07 2.2276966195614122e+07 2.2243123751683749e+07 2.2206904977251496e+07 2.2167643369808342e+07 2.2124818472532082e+07 2.2077797844567139e+07 2.2025869026392601e+07 2.1968010272311751e+07 2.1904337920617394e+07 2.1832447764601678e+07 2.1751846142043933e+07 2.1661363510783333e+07 2.1559741260289375e+07 2.1445681439646907e+07 2.1317882154534571e+07 2.1174905371272717e+07 2.1016945260578934e+07 2.0841237769579068e+07 2.0648386648093484e+07 2.0438838029667400e+07 2.0214235545696288e+07 1.9977375720693547e+07 1.9733581425746944e+07 1.9490775084702983e+07 1.9261930190942619e+07 1.9063355901390251e+07 1.8920599187813070e+07 1.8869247452724859e+07 1.8961016882624522e+07 1.9271168385030381e+07 1.9913750704761803e+07 2.1069306951688323e+07 2.3042054475440912e+07 3.7215236266311156e+06 +1.1656318772924676e+01 8.2721671062595919e+07 8.2713345616458759e+07 8.2699183484973550e+07 8.2680176868622974e+07 8.2660166426350221e+07 8.2645453287897930e+07 8.2638979671158150e+07 8.2635876478371620e+07 8.2630933187034339e+07 8.2622701381102577e+07 8.2611306496370897e+07 8.2596340940438017e+07 8.2577101713627979e+07 8.2552855586819485e+07 8.2522819724264547e+07 8.2486044990235239e+07 8.2441393357530624e+07 8.2387536709809467e+07 8.2322922256130606e+07 8.2245720886158898e+07 8.2153792746065855e+07 8.2044590951655120e+07 8.1914614629159451e+07 8.1757847869150460e+07 8.1567684618727252e+07 8.1340799796258733e+07 8.1073538034680963e+07 8.0760115081132501e+07 8.0393447355585381e+07 7.9965473454985276e+07 7.9467174569373339e+07 7.8888564519387245e+07 7.8218719122552186e+07 7.7445866857601255e+07 7.6557568603090420e+07 7.5540996586873889e+07 7.4383363315277115e+07 7.3072511492166132e+07 7.1597705160800293e+07 6.9950603931695685e+07 6.7983442781545192e+07 6.5812326774601378e+07 6.3445996875511110e+07 6.0903128465658307e+07 5.8213272396663614e+07 5.5416719882251471e+07 5.2562945430089891e+07 4.9707500404031597e+07 4.6907636945413336e+07 4.4216997666742109e+07 4.1680749510056511e+07 3.9332784028542213e+07 3.7194238690042444e+07 3.5271518966768228e+07 3.3559936445894711e+07 3.2047471404272120e+07 3.0716888675842866e+07 2.9549291375891697e+07 2.8525583644579753e+07 2.7628916884670962e+07 2.6843415677825972e+07 2.6156400133216381e+07 2.5555913441482160e+07 2.5033259897347864e+07 2.4579743901931278e+07 2.4188085154978115e+07 2.3852631784085847e+07 2.3567416674082942e+07 2.3326688977183420e+07 2.3126243875754233e+07 2.2960858628736775e+07 2.2826725938112695e+07 2.2719470374035843e+07 2.2635322299713951e+07 2.2569171079872824e+07 2.2516040920001201e+07 2.2472218297568742e+07 2.2434180150328629e+07 2.2398469010179359e+07 2.2373257628911939e+07 2.2347820174757984e+07 2.2321873220694516e+07 2.2294699399791803e+07 2.2266667711793557e+07 2.2236973565732624e+07 2.2206606823303275e+07 2.2172871271582935e+07 2.2136766894652851e+07 2.2097629295079004e+07 2.2054939659806419e+07 2.2008067545504045e+07 2.1956302742834426e+07 2.1898626753290843e+07 2.1835155447898917e+07 2.1763492352834750e+07 2.1683145305278555e+07 2.1592948456964206e+07 2.1491647172537666e+07 2.1377947600513801e+07 2.1250551958494607e+07 2.1108026774051558e+07 2.0950565508658316e+07 2.0775412973666739e+07 2.0583170954481572e+07 2.0374284175639179e+07 2.0150391077287268e+07 1.9914279351491340e+07 1.9671255057651501e+07 1.9429215615291990e+07 1.9201093454257637e+07 1.9003146344093297e+07 1.8860840516185291e+07 1.8809650991395600e+07 1.8901130581862655e+07 1.9210302499934454e+07 1.9850855288825475e+07 2.1002761859080330e+07 2.2969278601393953e+07 3.7078187696873420e+06 +1.1661287095698935e+01 8.2505615606286094e+07 8.2497311444623515e+07 8.2483185415813684e+07 8.2464226769674003e+07 8.2444265415178433e+07 8.2429585568443343e+07 8.2423121765290812e+07 8.2420017844536230e+07 8.2415076742816553e+07 8.2406853401725203e+07 8.2395472429045036e+07 8.2380526814842105e+07 8.2361314836231872e+07 8.2337104502841234e+07 8.2307114255432233e+07 8.2270396544524878e+07 8.2225815239933357e+07 8.2172044410366058e+07 8.2107533819993064e+07 8.2030457391649291e+07 8.1938678840595365e+07 8.1829655579228103e+07 8.1699892814571589e+07 8.1543385115441188e+07 8.1353537122697726e+07 8.1127029151113689e+07 8.0860212888236851e+07 8.0547314783403695e+07 8.0181264271593168e+07 7.9754015026207581e+07 7.9256565522514462e+07 7.8678949292115450e+07 7.8010264484075680e+07 7.7238764669456124e+07 7.6352038616365552e+07 7.5337289158007726e+07 7.4181761791812614e+07 7.2873333972411439e+07 7.1401305170431376e+07 6.9757369511870071e+07 6.7794077832711682e+07 6.5627346025167286e+07 6.3265932113019876e+07 6.0728508918784201e+07 5.8044599189253241e+07 5.5254435859340630e+07 5.2407403172840036e+07 4.9558932700396411e+07 4.6766134621378019e+07 4.4082500160166286e+07 4.1553050339758553e+07 3.9211547958224043e+07 3.7079029185041957e+07 3.5161838696183413e+07 3.3455262186129533e+07 3.1947281385429751e+07 3.0620685611289825e+07 2.9456614743248250e+07 2.8436016708675627e+07 2.7542084633230962e+07 2.6758985646640059e+07 2.6074074834642161e+07 2.5475429957202777e+07 2.4954380547234315e+07 2.4502257094986714e+07 2.4111801341963846e+07 2.3777378502615649e+07 2.3493039870745130e+07 2.3253052351300918e+07 2.3053224005029794e+07 2.2888348340879042e+07 2.2754629615306243e+07 2.2647705850299936e+07 2.2563818832548395e+07 2.2497873564915765e+07 2.2444909561042953e+07 2.2401224509685475e+07 2.2363306104736343e+07 2.2327707620685346e+07 2.2302575851095643e+07 2.2277218747554768e+07 2.2251353764297955e+07 2.2224265794067990e+07 2.2196322668202478e+07 2.2166722356971398e+07 2.2136451493598372e+07 2.2102822524082240e+07 2.2066832212879494e+07 2.2027818261524249e+07 2.1985263496000182e+07 2.1938539464637790e+07 2.1886938201807261e+07 2.1829444446684346e+07 2.1766173604799826e+07 2.1694736912175212e+07 2.1614643701345168e+07 2.1524731807181612e+07 2.1423750557985503e+07 2.1310410189860303e+07 2.1183417020339038e+07 2.1041342124989621e+07 2.0884378258471880e+07 2.0709779070120338e+07 2.0518144386821616e+07 2.0309917528185561e+07 2.0086731758238874e+07 1.9851365962138548e+07 1.9609109436361626e+07 1.9367834668595027e+07 1.9140433144572135e+07 1.8943111394953951e+07 1.8801255145140555e+07 1.8750227360133503e+07 1.8841417951681655e+07 1.9149613126246549e+07 1.9788142269974742e+07 2.0936409747530501e+07 2.2896713778035406e+07 3.6941623695251998e+06 +1.1666255418473193e+01 8.2290029975768343e+07 8.2281747238784373e+07 8.2267657219508678e+07 8.2248746475969166e+07 8.2228834129565611e+07 8.2214187516476303e+07 8.2207733526226893e+07 8.2204628907463193e+07 8.2199690024406567e+07 8.2191475170792028e+07 8.2180108129714623e+07 8.2165182473888621e+07 8.2145997756400079e+07 8.2121823225097746e+07 8.2091878596786886e+07 8.2055217907814503e+07 8.2010706923985288e+07 8.1957021898604825e+07 8.1892615150017172e+07 8.1815663633498654e+07 8.1724034631712019e+07 8.1615189852295116e+07 8.1485640579454452e+07 8.1329391854391739e+07 8.1139859009843811e+07 8.0913727756257430e+07 8.0647356829241753e+07 8.0334983372488543e+07 7.9969549826689437e+07 7.9543024930388555e+07 7.9046424429290429e+07 7.8469801547722146e+07 7.7802276742673874e+07 7.7032128648149192e+07 7.6146973884234905e+07 7.5134045842916697e+07 7.3980622955022261e+07 7.2674617355419680e+07 7.1205363857552901e+07 6.9564591003691509e+07 6.7605165091699079e+07 6.5442812870981731e+07 6.3086309265456542e+07 6.0554324388682008e+07 5.7876352761954166e+07 5.5092568974989064e+07 5.2252267020007700e+07 4.9410758784457549e+07 4.6625012700445160e+07 4.3948368910240345e+07 4.1425702885132879e+07 3.9090649062568352e+07 3.6964142692040317e+07 3.5052467954464644e+07 3.3350884868641321e+07 3.1847376752990972e+07 3.0524757458078597e+07 2.9364203619049363e+07 2.8346706897611078e+07 2.7455502075087097e+07 2.6674798743077341e+07 2.5991986888266612e+07 2.5395178756627355e+07 2.4875729058182497e+07 2.4424994304511368e+07 2.4035738220551793e+07 2.3702343062331889e+07 2.3418878482068896e+07 2.3179629088316839e+07 2.2980415785031006e+07 2.2816048285496894e+07 2.2682742369461227e+07 2.2576149473599456e+07 2.2492522777212180e+07 2.2426782878305990e+07 2.2373984556242954e+07 2.2330436680871144e+07 2.2292637672792848e+07 2.2257151518761758e+07 2.2232099130055081e+07 2.2206822144104853e+07 2.2181038893826071e+07 2.2154036525209203e+07 2.2126181704518709e+07 2.2096674955776755e+07 2.2066499693557676e+07 2.2032976997010689e+07 2.1997100420584913e+07 2.1958209758721344e+07 2.1915789471631300e+07 2.1869213093600597e+07 2.1817774896147441e+07 2.1760462846626446e+07 2.1697391886928625e+07 2.1626180939919509e+07 2.1546340829393689e+07 2.1456713062664784e+07 2.1356050920250982e+07 2.1243068713885572e+07 2.1116476849232852e+07 2.0974850936514914e+07 2.0818383026108000e+07 2.0644335579035778e+07 2.0453306469664812e+07 2.0245737616711546e+07 2.0023257123083852e+07 1.9788635092626590e+07 1.9547144107496578e+07 1.9306631795809940e+07 1.9079948818378739e+07 1.8883250615019150e+07 1.8741842638980005e+07 1.8690976124450620e+07 1.8781878555483185e+07 1.9089099820217062e+07 1.9725611189657915e+07 2.0870250131893195e+07 2.2824359474793013e+07 3.6805542642298010e+06 +1.1671223741247452e+01 8.2074913785397246e+07 8.2066652181589633e+07 8.2052598296896130e+07 8.2033735351220533e+07 8.2013871928429961e+07 8.1999258492147490e+07 8.1992814314508453e+07 8.1989709027330890e+07 8.1984772391794413e+07 8.1976566048123211e+07 8.1965212957891777e+07 8.1950307277049705e+07 8.1931149833296910e+07 8.1907011112483948e+07 8.1877112106907725e+07 8.1840508438103557e+07 8.1796067767278567e+07 8.1742468531557366e+07 8.1678165602693781e+07 8.1601338967190310e+07 8.1509859474154755e+07 8.1401193124387443e+07 8.1271857275988564e+07 8.1115867436762482e+07 8.0926649628986925e+07 8.0700894958310634e+07 8.0434969201882780e+07 8.0123120189541936e+07 7.9758303358566523e+07 7.9332502501053214e+07 7.8836750618644699e+07 7.8261120609746978e+07 7.7594755215935707e+07 7.6825958104139358e+07 7.5942373709323868e+07 7.4931265935362592e+07 7.3779946088918820e+07 7.2476360914456561e+07 7.1009880483795062e+07 6.9372267656382978e+07 6.7416703793901309e+07 6.5258726533574551e+07 6.2907127540711880e+07 6.0380574070749670e+07 5.7708532299791060e+07 5.4931118406756729e+07 5.2097536145324931e+07 4.9262977830609769e+07 4.6484270362381861e+07 4.3814603106921159e+07 4.1298706350563571e+07 3.8970086563971430e+07 3.6849578453864671e+07 3.4943406006311864e+07 3.3246803780393686e+07 3.1747756815706562e+07 3.0429103545828357e+07 2.9272057352347303e+07 2.8257653578209665e+07 2.7369168593196057e+07 2.6590854364583548e+07 2.5910135704348538e+07 2.5315159261334509e+07 2.4797304861765444e+07 2.4347954970807333e+07 2.3959895238487903e+07 2.3627524917553641e+07 2.3344931967891145e+07 2.3106418652733319e+07 2.2907818684231717e+07 2.2743957934322890e+07 2.2611063675023261e+07 2.2504800720542662e+07 2.2421433612047806e+07 2.2355898499807589e+07 2.2303265386497132e+07 2.2259854293035567e+07 2.2222174337289281e+07 2.2186800188009791e+07 2.2161826949956756e+07 2.2136629849113695e+07 2.2110928094635289e+07 2.2084011079168133e+07 2.2056244307347000e+07 2.2026830849437702e+07 2.1996750911172532e+07 2.1963334179153275e+07 2.1927571007407777e+07 2.1888803277177602e+07 2.1846517078220833e+07 2.1800087924971607e+07 2.1748812319607235e+07 2.1691681448245555e+07 2.1628809790879417e+07 2.1557823934291065e+07 2.1478236189465709e+07 2.1388891725587808e+07 2.1288547763772529e+07 2.1175922679687481e+07 2.1049730955201659e+07 2.0908552721969053e+07 2.0752579328512665e+07 2.0579082021407649e+07 2.0388656728410464e+07 2.0181743971423134e+07 1.9959966707239069e+07 1.9726086283815451e+07 1.9485358617532033e+07 1.9245606548995014e+07 1.9019640032941137e+07 1.8823563566139352e+07 1.8682602562867101e+07 1.8631896850662764e+07 1.8722511957481775e+07 1.9028762138921611e+07 1.9663261590173498e+07 2.0804282527923275e+07 2.2752215162082396e+07 3.6669942923828727e+06 +1.1676192064021711e+01 8.1860266067556620e+07 8.1852025784270376e+07 8.1838008047775745e+07 8.1819192764341325e+07 8.1799378169743255e+07 8.1784797854801118e+07 8.1778363489710525e+07 8.1775257563475221e+07 8.1770323204218373e+07 8.1762125392854258e+07 8.1750786272451699e+07 8.1735900582962513e+07 8.1716770425351292e+07 8.1692667523045316e+07 8.1662814143461764e+07 8.1626267492702261e+07 8.1581897126684964e+07 8.1528383665487245e+07 8.1464184533590332e+07 8.1387482747609407e+07 8.1296152721784085e+07 8.1187664748329043e+07 8.1058542255815342e+07 8.0902811212514371e+07 8.0713908328380257e+07 8.0488530103349403e+07 8.0223049349572420e+07 7.9911724574998304e+07 7.9547524204215392e+07 7.9122447071155265e+07 7.8627543418960750e+07 7.8052905801256210e+07 7.7387699220668331e+07 7.6620252347316280e+07 7.5738237393614471e+07 7.4728948728647426e+07 7.3579730477016374e+07 7.2278563922393113e+07 7.0814854310509846e+07 6.9180398719004154e+07 6.7228693174609691e+07 6.5075086234303944e+07 6.2728386146762028e+07 6.0207257160641938e+07 5.7541136988215312e+07 5.4770083332635954e+07 5.1943209723221682e+07 4.9115589013974205e+07 4.6343906787817165e+07 4.3681201941065349e+07 4.1172059941407204e+07 3.8849859685797893e+07 3.6735335714408591e+07 3.4834652117528617e+07 3.3143018209446672e+07 3.1648420883565843e+07 3.0333723205340900e+07 2.9180175293343835e+07 2.8168856118445314e+07 2.7283083571603410e+07 2.6507151909552906e+07 2.5828520694138445e+07 2.5235370893967498e+07 2.4719107390534632e+07 2.4271138535086792e+07 2.3884271844644748e+07 2.3552923523555808e+07 2.3271199789038442e+07 2.3033420510088913e+07 2.2835432172046125e+07 2.2672076760089800e+07 2.2539593007382359e+07 2.2433659068706803e+07 2.2350550816396691e+07 2.2285219910148911e+07 2.2232751533699699e+07 2.2189476829009701e+07 2.2151915581899147e+07 2.2116653112930413e+07 2.2091758795906961e+07 2.2066641348304275e+07 2.2041020852993164e+07 2.2014188942850787e+07 2.1986509964254338e+07 2.1957189526216168e+07 2.1927204635373801e+07 2.1893893560187194e+07 2.1858243463859800e+07 2.1819598308346402e+07 2.1777445808187786e+07 2.1731163452231873e+07 2.1680049966888972e+07 2.1623099747547012e+07 2.1560426814108141e+07 2.1489665394393444e+07 2.1410329282567613e+07 2.1321267298959110e+07 2.1221240593952864e+07 2.1108971595272005e+07 2.0983178849187534e+07 2.0842446995543089e+07 2.0686966683514826e+07 2.0514017919117626e+07 2.0324194689373609e+07 2.0117936123464577e+07 1.9896860046948805e+07 1.9663719077378646e+07 1.9423752513740975e+07 1.9184758480970882e+07 1.8959506346366446e+07 1.8764049810982231e+07 1.8623534482735481e+07 1.8572989105880260e+07 1.8663317722684231e+07 1.8968599640263781e+07 1.9601093014696259e+07 2.0738506452256076e+07 2.2680280311267056e+07 3.6534822930614464e+06 +1.1681160386795970e+01 8.1646086677906901e+07 8.1637867456737727e+07 8.1623885819891885e+07 8.1605118081393406e+07 8.1585352210612178e+07 8.1570804963052392e+07 8.1564380410749033e+07 8.1561273874508038e+07 8.1556341820146680e+07 8.1548152563112378e+07 8.1536827431524739e+07 8.1521961749373391e+07 8.1502858890032485e+07 8.1478791814088941e+07 8.1448984063396826e+07 8.1412494428170845e+07 8.1368194358130425e+07 8.1314766655770898e+07 8.1250671297391891e+07 8.1174094328692809e+07 8.1082913727596983e+07 8.0974604076058760e+07 8.0845694869585559e+07 8.0690222530849025e+07 8.0501634455326781e+07 8.0276632536489889e+07 8.0011596614979431e+07 7.9700795868582770e+07 7.9337211699829102e+07 7.8912857972966567e+07 7.8418802157665819e+07 7.7845156444428861e+07 7.7181108073080570e+07 7.6415010687049270e+07 7.5534564238759235e+07 7.4527093515580907e+07 7.3379975402445734e+07 7.2081225651715800e+07 7.0620284598699734e+07 6.8988983440317154e+07 6.7041132468982928e+07 6.4891891194574423e+07 6.2550084291602075e+07 6.0034372854339398e+07 5.7374166012922220e+07 5.4609462931153454e+07 5.1789286928586416e+07 4.8968591510416046e+07 4.6203921158259906e+07 4.3548164604459994e+07 4.1045762864135645e+07 3.8729967652608670e+07 3.6621413718688674e+07 3.4726205555015489e+07 3.3039527445049409e+07 3.1549368267620008e+07 3.0238615768467307e+07 2.9088556793265011e+07 2.8080313887325518e+07 2.7197246395406563e+07 2.6423690777548615e+07 2.5747141269977424e+07 2.5155813078160703e+07 2.4641136078104772e+07 2.4194544439642556e+07 2.3808867488785222e+07 2.3478538336614989e+07 2.3197681407286972e+07 2.2960634126843706e+07 2.2763255718898252e+07 2.2600404236475341e+07 2.2468329842919257e+07 2.2362723996644586e+07 2.2279873870536346e+07 2.2214746591013934e+07 2.2162442480681874e+07 2.2119303772609156e+07 2.2081860891289264e+07 2.2046709778999090e+07 2.2021894153943457e+07 2.1996856128257934e+07 2.1971316656131580e+07 2.1944569604118805e+07 2.1916978163721420e+07 2.1887750475257199e+07 2.1857860356032804e+07 2.1824654630792093e+07 2.1789117281423859e+07 2.1750594344571624e+07 2.1708575154875550e+07 2.1662439169841636e+07 2.1611487333618276e+07 2.1554717241500504e+07 2.1492242455027647e+07 2.1421704820309240e+07 2.1342619610591758e+07 2.1253839286771569e+07 2.1154128917089470e+07 2.1042214969559647e+07 2.0916820043009359e+07 2.0776533272375543e+07 2.0621544609865166e+07 2.0449142794912808e+07 2.0259919879719440e+07 2.0054313604759812e+07 1.9833936679319747e+07 1.9601533015852015e+07 1.9362325344218582e+07 1.9124087145427242e+07 1.8899547317578416e+07 1.8704708913011327e+07 1.8564637965292677e+07 1.8514252458018951e+07 1.8604295416881621e+07 1.8908611882954355e+07 1.9539105007196836e+07 2.0672921422429029e+07 2.2608554394701134e+07 3.6400181058365335e+06 +1.1686128709570228e+01 8.1432374333086386e+07 8.1424176838629827e+07 8.1410230954618305e+07 8.1391510659283668e+07 8.1371793407280117e+07 8.1357279174914613e+07 8.1350864435728669e+07 8.1347757318073094e+07 8.1342827597091898e+07 8.1334646916459054e+07 8.1323335792256236e+07 8.1308490133413926e+07 8.1289414584221840e+07 8.1265383342037246e+07 8.1235621222736835e+07 8.1199188600149363e+07 8.1154958816838741e+07 8.1101616857030854e+07 8.1037625248112589e+07 8.0961173063666046e+07 8.0870141844016984e+07 8.0762010458832756e+07 8.0633314467223734e+07 8.0478100740276679e+07 8.0289827356528044e+07 8.0065201602269799e+07 7.9800610339972883e+07 7.9490333409205422e+07 7.9127365180938363e+07 7.8703734537997112e+07 7.8210526161871985e+07 7.7637871861076325e+07 7.6974981088854730e+07 7.6210232432230264e+07 7.5331353545732528e+07 7.4325699588647604e+07 7.3180680147912651e+07 7.1884345374572411e+07 7.0426170609101549e+07 6.8798021068968907e+07 6.6854020912119113e+07 6.4709140635717452e+07 6.2372221183458447e+07 5.9861920347882859e+07 5.7207618560011245e+07 5.4449256381292164e+07 5.1635766937157735e+07 4.8821984496547922e+07 4.6064312656051792e+07 4.3415490289901115e+07 4.0919814326149814e+07 3.8610409689921409e+07 3.6507811712844543e+07 3.4618065586826570e+07 3.2936330777519975e+07 3.1450598280044176e+07 3.0143780568211742e+07 2.8997201204501629e+07 2.7992026254994314e+07 2.7111656450749304e+07 2.6340470369113673e+07 2.5665996845204379e+07 2.5076485238630313e+07 2.4563390359076709e+07 2.4118172127742838e+07 2.3733681621703107e+07 2.3404368813984688e+07 2.3124376285425942e+07 2.2888058970459491e+07 2.2691288796173234e+07 2.2528939838113621e+07 2.2397273658950504e+07 2.2291994983873650e+07 2.2209402255700421e+07 2.2144478025008943e+07 2.2092337711189091e+07 2.2049334608569622e+07 2.2012009751048364e+07 2.1976969672626268e+07 2.1952232511049736e+07 2.1927273676583569e+07 2.1901814992209569e+07 2.1875152551742349e+07 2.1847648395188529e+07 2.1818513186698411e+07 2.1788717563957904e+07 2.1755616882542182e+07 2.1720191952515148e+07 2.1681790879195705e+07 2.1639904612586625e+07 2.1593914573162995e+07 2.1543123916355949e+07 2.1486533427960746e+07 2.1424256212968200e+07 2.1353941712980725e+07 2.1275106676330980e+07 2.1186607193890736e+07 2.1087212240385741e+07 2.0975652312338088e+07 2.0850654049428750e+07 2.0710811068446405e+07 2.0556312627140678e+07 2.0384456172421370e+07 2.0195831827467572e+07 1.9990875948178180e+07 1.9771196142317243e+07 1.9539527642621510e+07 1.9301076657930825e+07 1.9063592096868034e+07 1.8839762506300498e+07 1.8645540436484657e+07 1.8505912578102410e+07 1.8455686475782551e+07 1.8545444606683630e+07 1.8848798426480129e+07 1.9477297112514373e+07 2.0607526956858657e+07 2.2537036885718785e+07 3.6266015707718469e+06 +1.1691097032344487e+01 8.1219129181120694e+07 8.1210952940853015e+07 8.1197042809605107e+07 8.1178369846865728e+07 8.1158701115789369e+07 8.1144219847606346e+07 8.1137814921933472e+07 8.1134707251212537e+07 8.1129779891931772e+07 8.1121607809419528e+07 8.1110310711112767e+07 8.1095485091200262e+07 8.1076436863697395e+07 8.1052441462464556e+07 8.1022724976789817e+07 8.0986349363525733e+07 8.0942189857223898e+07 8.0888933623245493e+07 8.0825045738992676e+07 8.0748718304921761e+07 8.0657836422400892e+07 8.0549883247000590e+07 8.0421400397933140e+07 8.0266445188487604e+07 8.0078486377788052e+07 7.9854236644337937e+07 7.9590089865822256e+07 7.9280336535134777e+07 7.8917983982377887e+07 7.8495076097122237e+07 7.8002714757837221e+07 7.7431051372167096e+07 7.6769317583035201e+07 7.6005916890933976e+07 7.5128604615056366e+07 7.4124766239505380e+07 7.2981843995772630e+07 7.1687922362784773e+07 7.0232511602127641e+07 6.8607510853347763e+07 6.6667357738953196e+07 6.4526833779218733e+07 6.2194796030649245e+07 5.9689898837700494e+07 5.7041493816056818e+07 5.4289462862560689e+07 5.1482648925088458e+07 4.8675767149739429e+07 4.5925080464367442e+07 4.3283178191053368e+07 4.0794213535877608e+07 3.8491185024359025e+07 3.6394528944087349e+07 3.4510231482130319e+07 3.2833427498323798e+07 3.1352110234179128e+07 3.0049216938700896e+07 2.8906107880510703e+07 2.7903992592664838e+07 2.7026313124935474e+07 2.6257490085875053e+07 2.5585086834248755e+07 2.4997386801034611e+07 2.4485869669083275e+07 2.4042021043679204e+07 2.3658713695209429e+07 2.3330414413925827e+07 2.3051283887242049e+07 2.2815694509381119e+07 2.2619530876227621e+07 2.2457683040624067e+07 2.2326423933771130e+07 2.2221471510807175e+07 2.2139135454059336e+07 2.2074413695730276e+07 2.2022436709990297e+07 2.1979568822590470e+07 2.1942361647742763e+07 2.1907432281170931e+07 2.1882773355181538e+07 2.1857893481794275e+07 2.1832515350355379e+07 2.1805937275478940e+07 2.1778520149031270e+07 2.1749477151604015e+07 2.1719775750916269e+07 2.1686779807954449e+07 2.1651466970482316e+07 2.1613187406447556e+07 2.1571433676550910e+07 2.1525589158469066e+07 2.1474959212564338e+07 2.1418547805726547e+07 2.1356467588184312e+07 2.1286375574332457e+07 2.1207789983543389e+07 2.1119570526143663e+07 2.1020490071952201e+07 2.0909283134347517e+07 2.0784680382056549e+07 2.0645279900656085e+07 2.0491270255866125e+07 2.0319957576133560e+07 2.0131930061544839e+07 1.9927622687366366e+07 1.9708637974747553e+07 1.9477702501884073e+07 1.9240006004651662e+07 1.9003272890611690e+07 1.8780151473068390e+07 1.8586543946467325e+07 1.8447357889439777e+07 1.8397290728655592e+07 1.8486764859506465e+07 1.8789158831194460e+07 1.9415668876317170e+07 2.0542322574834820e+07 2.2465727258611828e+07 3.6132325284224749e+06 +1.1696065355118746e+01 8.1006350430021897e+07 8.0998195204487309e+07 8.0984320741729811e+07 8.0965694992766351e+07 8.0946074691985443e+07 8.0931626337548986e+07 8.0925231225947037e+07 8.0922123029974431e+07 8.0917198060639068e+07 8.0909034597918525e+07 8.0897751543732956e+07 8.0882945978212476e+07 8.0863925083747447e+07 8.0839965530321300e+07 8.0810294680169553e+07 8.0773976072346509e+07 8.0729886832915798e+07 8.0676716307344124e+07 8.0612932122322887e+07 8.0536729404137239e+07 8.0445996813605487e+07 8.0338221790328056e+07 8.0209952010144621e+07 8.0055255222236633e+07 7.9867610864297077e+07 7.9643737005781934e+07 7.9380034533010364e+07 7.9070804583896995e+07 7.8709067438279077e+07 7.8286881980600312e+07 7.7795367271247268e+07 7.7224694298134342e+07 7.6564116870098382e+07 7.5802063370870471e+07 7.4926316746805966e+07 7.3924292759738311e+07 7.2783466227910906e+07 7.1491955887874886e+07 7.0039306838048428e+07 6.8417452041722327e+07 6.6481142184337445e+07 6.4344969846431375e+07 6.2017808041580386e+07 5.9518307520478211e+07 5.6875790967894800e+07 5.4130081554976515e+07 5.1329932069287732e+07 4.8529938648124829e+07 4.5786223767272629e+07 4.3151227502600789e+07 4.0668959702799723e+07 3.8372292883637488e+07 3.6281564660743177e+07 3.4402702511212543e+07 3.2730816900101081e+07 3.1253903444464378e+07 2.9954924215121809e+07 2.8815276175870188e+07 2.7816212272622317e+07 2.6941215806256533e+07 2.6174749330552541e+07 2.5504410652567457e+07 2.4918517192156162e+07 2.4408573444767952e+07 2.3966090632749114e+07 2.3583963162076559e+07 2.3256674595678341e+07 2.2978403677434433e+07 2.2743540213023454e+07 2.2547981432359111e+07 2.2386633320587248e+07 2.2255780146607738e+07 2.2151153058894452e+07 2.2069072948774759e+07 2.2004553087721322e+07 2.1952738962755796e+07 2.1910005901331473e+07 2.1872916068874624e+07 2.1838097092957854e+07 2.1813516175199080e+07 2.1788715033349659e+07 2.1763417220609643e+07 2.1736923266006291e+07 2.1709592916571341e+07 2.1680641861957002e+07 2.1651034409583211e+07 2.1618142900503874e+07 2.1582941829611175e+07 2.1544783421515308e+07 2.1503161842909198e+07 2.1457462423016414e+07 2.1406992720658980e+07 2.1350759874547325e+07 2.1288876081850052e+07 2.1219005907148652e+07 2.1140669036868636e+07 2.1052728790232982e+07 2.0953961920811825e+07 2.0843106947203718e+07 2.0718898555431549e+07 2.0579939286813892e+07 2.0426417017427113e+07 2.0255646531446405e+07 2.0068214111725945e+07 1.9864553356890794e+07 1.9646261716282088e+07 1.9416057138713047e+07 1.9179112934990466e+07 1.8943129082784899e+07 1.8720713779238656e+07 1.8527719008823723e+07 1.8388973468473632e+07 1.8339064786937609e+07 1.8428255743541762e+07 1.8729692658230387e+07 1.9354219845113717e+07 2.0477307796565890e+07 2.2394624988640476e+07 3.5999108198335958e+06 +1.1701033677893005e+01 8.0794037387439921e+07 8.0785902892152086e+07 8.0772064086373597e+07 8.0753485453521803e+07 8.0733913492034748e+07 8.0719498000552937e+07 8.0713112703445807e+07 8.0710004009895384e+07 8.0705081458452195e+07 8.0696926636953011e+07 8.0685657644996032e+07 8.0670872149057388e+07 8.0651878598741412e+07 8.0627954899719149e+07 8.0598329686526716e+07 8.0562068080028713e+07 8.0518049096746400e+07 8.0464964261649266e+07 8.0401283749859631e+07 8.0325205712096378e+07 8.0234622367537543e+07 8.0127025437715188e+07 7.9998968651534364e+07 7.9844530187968463e+07 7.9657200160431638e+07 7.9433702028822586e+07 7.9170443681233391e+07 7.8861736892408326e+07 7.8500614882123843e+07 7.8079151517893508e+07 7.7588483027055547e+07 7.7018799958827123e+07 7.6359378263866842e+07 7.5598671179172590e+07 7.4724489240406722e+07 7.3724278440236732e+07 7.2585546125845954e+07 7.1296445220877066e+07 6.9846555576758578e+07 6.8227843882148430e+07 6.6295373483116418e+07 6.4163548058867708e+07 6.1841256424814686e+07 5.9347145593058273e+07 5.6710509202788457e+07 5.3971111639122345e+07 5.1177615547379002e+07 4.8384498170573100e+07 4.5647741749731340e+07 4.3019637420129649e+07 4.0544052037409082e+07 3.8253732496541873e+07 3.6168918112267382e+07 3.4295477945482261e+07 3.2628498276557792e+07 3.1155977226469979e+07 2.9860901733873386e+07 2.8724705446313102e+07 2.7728684668254636e+07 2.6856363884120703e+07 2.6092247506860163e+07 2.5423967716647763e+07 2.4839875839772843e+07 2.4331501123810198e+07 2.3890380341256585e+07 2.3509429476141784e+07 2.3183148819465697e+07 2.2905735121763386e+07 2.2671595551781002e+07 2.2476639938893363e+07 2.2315790155557148e+07 2.2185341777681507e+07 2.2081039110490073e+07 2.1999214223955203e+07 2.1934895686464857e+07 2.1883243956105623e+07 2.1840645332374148e+07 2.1803672502887711e+07 2.1768963597225793e+07 2.1744460460966997e+07 2.1719737821659986e+07 2.1694520093993075e+07 2.1668110014933217e+07 2.1640866190059401e+07 2.1612006810697336e+07 2.1582493033597637e+07 2.1549705654589385e+07 2.1514616025124103e+07 2.1476578420521237e+07 2.1435088608750314e+07 2.1389533864943929e+07 2.1339223939987820e+07 2.1283169135064811e+07 2.1221481196056042e+07 2.1151832215192191e+07 2.1073743341859236e+07 2.0986081493756752e+07 2.0887627296916608e+07 2.0777123263427518e+07 2.0653308084990583e+07 2.0514788745566320e+07 2.0361752434076756e+07 2.0191522564625837e+07 2.0004683508656453e+07 1.9801667492164835e+07 1.9584066907434218e+07 1.9354591099010419e+07 1.9118397000388432e+07 1.8883160230353251e+07 1.8661448986958262e+07 1.8469065190263536e+07 1.8330758885109998e+07 1.8281008221719842e+07 1.8369916827807691e+07 1.8670399469535742e+07 1.9292949566244144e+07 2.0412482143129963e+07 2.2323729552050013e+07 3.5866362865391746e+06 +1.1706002000667263e+01 8.0582188546919435e+07 8.0574075123722211e+07 8.0560272164591759e+07 8.0541740594214514e+07 8.0522216872199401e+07 8.0507834191554204e+07 8.0501458709350869e+07 8.0498349545499533e+07 8.0493429439850986e+07 8.0485283280805826e+07 8.0474028369053349e+07 8.0459262957679838e+07 8.0440296762263730e+07 8.0416408923953697e+07 8.0386829348834440e+07 8.0350624739116758e+07 8.0306676000869349e+07 8.0253676837789074e+07 8.0190099972452953e+07 8.0114146579044759e+07 8.0023712433386296e+07 7.9916293537334040e+07 7.9788449669027865e+07 7.9634269430949852e+07 7.9447253609924018e+07 7.9224131055057526e+07 7.8961316649600729e+07 7.8653132796820417e+07 7.8292625646732643e+07 7.7871884038012087e+07 7.7382061349753529e+07 7.6813367673466817e+07 7.6155101077737808e+07 7.5395739622512713e+07 7.4523121394946679e+07 7.3524722571588710e+07 7.2388082970637023e+07 7.1101389632678941e+07 6.9654257078012332e+07 6.8038685622459725e+07 6.6110050869997256e+07 6.3982567637913063e+07 6.1665140389093138e+07 5.9176412252692357e+07 5.6545647708432846e+07 5.3812552296031132e+07 5.1025698537446357e+07 4.8239444896785483e+07 4.5509633597514167e+07 4.2888407140225418e+07 4.0419489751212046e+07 3.8135503092955820e+07 3.6056588549203619e+07 3.4188557057499297e+07 3.2526470922567271e+07 3.1058330896931130e+07 2.9767148832408931e+07 2.8634395048581764e+07 2.7641409154083271e+07 2.6771756749011587e+07 2.6009984019622669e+07 2.5343757444042072e+07 2.4761462172661666e+07 2.4254652144871153e+07 2.3814889616488576e+07 2.3435112092172559e+07 2.3109836546524044e+07 2.2833277686937381e+07 2.2599859996997952e+07 2.2405505871062968e+07 2.2245153024024360e+07 2.2115108308188897e+07 2.2011129148950532e+07 2.1929558764647316e+07 2.1865440978400063e+07 2.1813951177633703e+07 2.1771486604290225e+07 2.1734630439193916e+07 2.1700031284191016e+07 2.1675605703235906e+07 2.1650961338086013e+07 2.1625823462441001e+07 2.1599497014832407e+07 2.1572339462715674e+07 2.1543571491720367e+07 2.1514151117523484e+07 2.1481467565527815e+07 2.1446489053186037e+07 2.1408571900507145e+07 2.1367213472112857e+07 2.1321802983360022e+07 2.1271652370801665e+07 2.1215775088854454e+07 2.1154282433836967e+07 2.1084854003080595e+07 2.1007012405019000e+07 2.0919628145271700e+07 2.0821485711091030e+07 2.0711331596436087e+07 2.0587908487055194e+07 2.0449827796528634e+07 2.0297276028965902e+07 2.0127585202804312e+07 1.9941337783846099e+07 1.9738964629454032e+07 1.9522053089581694e+07 1.9293303929506805e+07 1.9057857753135432e+07 1.8823365891122133e+07 1.8602356659222249e+07 1.8410582058235340e+07 1.8272713710070930e+07 1.8223120604892563e+07 1.8311747682105843e+07 1.8611278827902474e+07 1.9231857587887175e+07 2.0347845136490282e+07 2.2253040426028170e+07 3.5734087705606660e+06 +1.1710970323441522e+01 8.0370804727821007e+07 8.0362711816064373e+07 8.0348944328205094e+07 8.0330459781267092e+07 8.0310984188654512e+07 8.0296634264668763e+07 8.0290268597956777e+07 8.0287158990688697e+07 8.0282241358518794e+07 8.0274103883030415e+07 8.0262863069123477e+07 8.0248117757123411e+07 8.0229178927232206e+07 8.0205326955536276e+07 8.0175793019361988e+07 8.0139645401441991e+07 8.0095766896623597e+07 8.0042853386502936e+07 7.9979380140264869e+07 7.9903551354327276e+07 7.9813266359758675e+07 7.9706025436613262e+07 7.9578394408806801e+07 7.9424472296053290e+07 7.9237770555685341e+07 7.9015023425289616e+07 7.8752652776546165e+07 7.8444991632610247e+07 7.8085099064310461e+07 7.7665078869128793e+07 7.7176101563118070e+07 7.6608396760758460e+07 7.5951284624453917e+07 7.5193268006870657e+07 7.4322212508902803e+07 7.3325624443839222e+07 7.2191076043089181e+07 7.0906788393788591e+07 6.9462410601147681e+07 6.7849976510443300e+07 6.5925173579645976e+07 6.3802027805151165e+07 6.1489459143304549e+07 5.9006106696757950e+07 5.6381205672889963e+07 5.3654402707331754e+07 5.0874180218432479e+07 4.8094778007146917e+07 4.5371898497283660e+07 4.2757535860403687e+07 4.0295272056756392e+07 3.8017603903743409e+07 3.5944575223210573e+07 3.4081939120952867e+07 3.2424734134148225e+07 3.0960963773644440e+07 2.9673664849331964e+07 2.8544344340567663e+07 2.7554385105628874e+07 2.6687393792461772e+07 2.5927958274682276e+07 2.5263779253336072e+07 2.4683275620683793e+07 2.4178025947665926e+07 2.3739617906789310e+07 2.3361010465938985e+07 2.3036737239048779e+07 2.2761030840617601e+07 2.2528333021025442e+07 2.2334578705116268e+07 2.2174721405476116e+07 2.2045079220228363e+07 2.1941422658542693e+07 2.1860106056896258e+07 2.1796188450939674e+07 2.1744860115880106e+07 2.1702529206563406e+07 2.1665789368124217e+07 2.1631299645005319e+07 2.1606951393734615e+07 2.1582385074937012e+07 2.1557326818839803e+07 2.1531083759205393e+07 2.1504012228680342e+07 2.1475335399822447e+07 2.1446008156859189e+07 2.1413428129613608e+07 2.1378560410893045e+07 2.1340763359436397e+07 2.1299535931930803e+07 2.1254269278255839e+07 2.1204277514314141e+07 2.1148577238423642e+07 2.1087279299129467e+07 2.1018070776421204e+07 2.0940475733736236e+07 2.0853368254238538e+07 2.0755536675072242e+07 2.0645731460593242e+07 2.0522699278854627e+07 2.0385055960133575e+07 2.0232987326164987e+07 2.0063833974020619e+07 1.9878176469690152e+07 1.9676444305909391e+07 1.9460219804924149e+07 1.9232195177805223e+07 1.8997494746314742e+07 1.8763745623673044e+07 1.8543436359797273e+07 1.8352269181037210e+07 1.8214837514862586e+07 1.8165401509134129e+07 1.8253747877016179e+07 1.8552330296877284e+07 1.9170943459091712e+07 2.0283396299520358e+07 2.2182557088761386e+07 3.5602281144057293e+06 +1.1715938646215781e+01 8.0159884403613195e+07 8.0151812198043257e+07 8.0138080007062674e+07 8.0119642373042777e+07 8.0100214796965450e+07 8.0085897573214591e+07 8.0079541722550645e+07 8.0076431698624492e+07 8.0071516567413092e+07 8.0063387796419233e+07 8.0052161097856596e+07 8.0037435899789751e+07 8.0018524445734218e+07 7.9994708346325040e+07 7.9965220049538136e+07 7.9929129418077841e+07 7.9885321134585619e+07 7.9832493257854968e+07 7.9769123602723151e+07 7.9693419386658549e+07 7.9603283494427443e+07 7.9496220482298851e+07 7.9368802216470465e+07 7.9215138127239496e+07 7.9028750340051994e+07 7.8806378479757681e+07 7.8544451399765447e+07 7.8237312734641895e+07 7.7878034466223672e+07 7.7458735339004010e+07 7.6970602990273610e+07 7.6403886538696617e+07 7.5747928216239706e+07 7.4991255637960821e+07 7.4121761880396754e+07 7.3126983346779674e+07 7.1994524623588815e+07 7.0712640774384052e+07 6.9271015405479521e+07 6.7661715793691576e+07 6.5740740846629314e+07 6.3621927782177694e+07 6.1314211896493979e+07 5.8836228123035990e+07 5.6217182284624115e+07 5.3496662055140853e+07 5.0723059769704565e+07 4.7950496682873055e+07 4.5234535636597246e+07 4.2627022779189073e+07 4.0171398167650603e+07 3.7900034160991937e+07 3.5832877387083091e+07 3.3975623410627164e+07 3.2323287208426036e+07 3.0863875175610229e+07 2.9580449124329973e+07 2.8454552681306873e+07 2.7467611899612904e+07 2.6603274407114092e+07 2.5846169678986143e+07 2.5184032564154368e+07 2.4605315614706788e+07 2.4101621972941089e+07 2.3664564661464587e+07 2.3287124054251447e+07 2.2963850360257104e+07 2.2688994051514808e+07 2.2457014097188041e+07 2.2263857918254588e+07 2.2104494780351877e+07 2.1975253996924423e+07 2.1871919124526992e+07 2.1790855587631837e+07 2.1727137592419863e+07 2.1675970260364480e+07 2.1633772629643038e+07 2.1597148780973163e+07 2.1562768171773288e+07 2.1538497025143895e+07 2.1514008525432967e+07 2.1489029657035470e+07 2.1462869742507391e+07 2.1435883983032040e+07 2.1407298030775834e+07 2.1378063648079067e+07 2.1345586844063342e+07 2.1310829596265718e+07 2.1273152296270620e+07 2.1232055488102876e+07 2.1186932250604507e+07 2.1137098872636009e+07 2.1081575087225307e+07 2.1020471296805702e+07 2.0951482041702412e+07 2.0874132836340722e+07 2.0787301330977812e+07 2.0689779701563526e+07 2.0580322371119704e+07 2.0457679978520643e+07 2.0320472757755540e+07 2.0168885850580618e+07 2.0000268407176640e+07 1.9815199099446375e+07 1.9614106059499666e+07 1.9398566596555002e+07 1.9171264392313492e+07 1.8937307533872269e+07 1.8704298987444926e+07 1.8484687653302427e+07 1.8294126127748284e+07 1.8157129871818263e+07 1.8107850507908896e+07 1.8195916983971275e+07 1.8493553440859657e+07 1.9110206729708958e+07 2.0219135155942988e+07 2.2112279019421045e+07 3.5470941610669270e+06 +1.1720906968990040e+01 7.9949426809009433e+07 7.9941375520897672e+07 7.9927678563076124e+07 7.9909287716561884e+07 7.9889908051565394e+07 7.9875623469597936e+07 7.9869277435652286e+07 7.9866167021655247e+07 7.9861254418764740e+07 7.9853134372968346e+07 7.9841921807144165e+07 7.9827216737394631e+07 7.9808332669193909e+07 7.9784552447476417e+07 7.9755109790142089e+07 7.9719076139363751e+07 7.9675338064614281e+07 7.9622595801186413e+07 7.9559329708534777e+07 7.9483750023850426e+07 7.9393763184353799e+07 7.9286878020442560e+07 7.9159672436756372e+07 7.9006266267897114e+07 7.8820192304612473e+07 7.8598195557893768e+07 7.8336711856232956e+07 7.8030095437096700e+07 7.7671431183500707e+07 7.7252852774495542e+07 7.6765564953896239e+07 7.6199836324854687e+07 7.5545031164790034e+07 7.4789701820732653e+07 7.3921768807076693e+07 7.2928798569623724e+07 7.1798427992203444e+07 7.0518946044381484e+07 6.9080070749962300e+07 6.7473902719575211e+07 6.5556751905569047e+07 6.3442266790535226e+07 6.1139397857850462e+07 5.8666775729545683e+07 5.6053576732591599e+07 5.3339329522116281e+07 5.0572336371546924e+07 4.7806600105903283e+07 4.5097544203894727e+07 4.2496867095996946e+07 4.0047867298490465e+07 3.7782793097771563e+07 3.5721494294697218e+07 3.3869609202467173e+07 3.2222129443709612e+07 3.0767064422910154e+07 2.9487500998264473e+07 2.8365019430904496e+07 2.7381088913766075e+07 2.6519397986658014e+07 2.5764617640520047e+07 2.5104516797182605e+07 2.4527581586614180e+07 2.4025439662400391e+07 2.3589729330852773e+07 2.3213452314899374e+07 2.2891175374299020e+07 2.2617166789248921e+07 2.2385902699753344e+07 2.2193342988640249e+07 2.2034472630077645e+07 2.1905632122326609e+07 2.1802618033115804e+07 2.1721806844797455e+07 2.1658287892148372e+07 2.1607281101479430e+07 2.1565216364938520e+07 2.1528708169993628e+07 2.1494436357528083e+07 2.1470242091068890e+07 2.1445831183792111e+07 2.1420931471797340e+07 2.1394854460124057e+07 2.1367954221800227e+07 2.1339458881291885e+07 2.1310317088522483e+07 2.1277943206987008e+07 2.1243296108269785e+07 2.1205738210820425e+07 2.1164771641445260e+07 2.1119791402255740e+07 2.1070115948818702e+07 2.1014768139591902e+07 2.0953857932675317e+07 2.0885087306301344e+07 2.0807983222042289e+07 2.0721426886794947e+07 2.0624214304105587e+07 2.0515103844171774e+07 2.0392850105077468e+07 2.0256077711644027e+07 2.0104971128032506e+07 1.9936888032026917e+07 1.9752405207250115e+07 1.9551949429104533e+07 1.9337093008390803e+07 1.9110511122316629e+07 1.8877295670575388e+07 1.8645025542677436e+07 1.8426110105125096e+07 1.8236152468261752e+07 1.8099590354026951e+07 1.8050467175503347e+07 1.8138254575147975e+07 1.8434947825065870e+07 1.9049646950442571e+07 2.0155061230414875e+07 2.2042205698120009e+07 3.5340067540204502e+06 +1.1725875291764298e+01 7.9739431747536540e+07 7.9731401131457388e+07 7.9717739292363584e+07 7.9699395152554408e+07 7.9680063305395603e+07 7.9665811305539533e+07 7.9659475089198291e+07 7.9656364311525449e+07 7.9651454264121801e+07 7.9643342964100063e+07 7.9632144548106134e+07 7.9617459620688677e+07 7.9598602948233843e+07 7.9574858609286696e+07 7.9545461591248184e+07 7.9509484914898142e+07 7.9465817035934120e+07 7.9413160365060344e+07 7.9349997805598959e+07 7.9274542613218367e+07 7.9184704775935695e+07 7.9077997396324635e+07 7.8951004413761556e+07 7.8797856060728043e+07 7.8612095790222868e+07 7.8390473998608857e+07 7.8129433482433081e+07 7.7823339073545024e+07 7.7465288546198726e+07 7.7047430502210975e+07 7.6560986775952354e+07 7.5996245436129034e+07 7.5342592781268999e+07 7.4588605859811902e+07 7.3722232586104125e+07 7.2731069401200429e+07 7.1602785428569615e+07 7.0325703473464996e+07 6.8889575893403709e+07 6.7286536535389274e+07 6.5373205990917459e+07 6.3263044051991411e+07 6.0965016236712560e+07 5.8497748714626200e+07 5.5890388206028588e+07 5.3182404291520573e+07 5.0422009204760648e+07 4.7663087459076084e+07 4.4960923388494253e+07 4.2367068011268601e+07 3.9924678664939485e+07 3.7665879948313996e+07 3.5610425201085649e+07 3.3763895773576744e+07 3.2121260139373593e+07 3.0670530836783361e+07 2.9394819813048739e+07 2.8275743950584006e+07 2.7294815526919566e+07 2.6435763925882693e+07 2.5683301568341076e+07 2.5025231374138679e+07 2.4450072969331227e+07 2.3949478458824772e+07 2.3515111366282698e+07 2.3139994706630163e+07 2.2818711746388745e+07 2.2545548524479039e+07 2.2314998304026309e+07 2.2123033395445909e+07 2.1964654436985657e+07 2.1836213081447016e+07 2.1733518871488787e+07 2.1652959317279182e+07 2.1589638840405624e+07 2.1538792130646892e+07 2.1496859904805213e+07 2.1460467028367463e+07 2.1426303696262356e+07 2.1402186086064082e+07 2.1377852545127034e+07 2.1353031758842193e+07 2.1327037408407800e+07 2.1300222441950809e+07 2.1271817448989313e+07 2.1242767976559047e+07 2.1210496717524208e+07 2.1175959446819760e+07 2.1138520603886671e+07 2.1097683893702928e+07 2.1052846236057494e+07 2.1003328246841121e+07 2.0948155900815684e+07 2.0887438713422801e+07 2.0818886078608744e+07 2.0742026401016600e+07 2.0655744433888610e+07 2.0558839997159813e+07 2.0450075396764025e+07 2.0328209178442020e+07 2.0191870344938893e+07 2.0041242685220938e+07 1.9873692379223239e+07 1.9689794328087740e+07 1.9489973954442468e+07 1.9275798585218314e+07 1.9049934917907998e+07 1.8817458712046366e+07 1.8585924850454766e+07 1.8367703281506274e+07 1.8178347773281313e+07 1.8042218535405710e+07 1.7993251086980999e+07 1.8080760223554410e+07 1.8376513015497554e+07 1.8989263672839645e+07 2.0091174048444334e+07 2.1972336605921689e+07 3.5209657372248159e+06 +1.1730843614538557e+01 7.9529897573141396e+07 7.9521888146749884e+07 7.9508261532445446e+07 7.9489964022445291e+07 7.9470679909977585e+07 7.9456460431926623e+07 7.9450134034189895e+07 7.9447022919127002e+07 7.9442115454212785e+07 7.9434012920343295e+07 7.9422828671093419e+07 7.9408163900010645e+07 7.9389334632779598e+07 7.9365626181474686e+07 7.9336274802138224e+07 7.9300355093667224e+07 7.9256757396931544e+07 7.9204186297476590e+07 7.9141127241267443e+07 7.9065796501268297e+07 7.8976107614858732e+07 7.8869577954595000e+07 7.8742797490918905e+07 7.8589906847586200e+07 7.8404460137214646e+07 7.8183213140073121e+07 7.7922615614082202e+07 7.7617042976835549e+07 7.7259605884132892e+07 7.6842467847838879e+07 7.6356867777886733e+07 7.5793113188974261e+07 7.5140612376317054e+07 7.4387967059415340e+07 7.3523152514195517e+07 7.2533795130088404e+07 7.1407596212052897e+07 7.0132912330927953e+07 6.8699530094343364e+07 6.7099616488345481e+07 6.5190102337161325e+07 6.3084258788214356e+07 6.0791066242754236e+07 5.8329146276937351e+07 5.5727615894746356e+07 5.3025885547121152e+07 5.0272077450851105e+07 4.7519957925892040e+07 4.4824672380612180e+07 4.2237624726399682e+07 3.9801831483708911e+07 3.7549293947863348e+07 3.5499669362364970e+07 3.3658482402138092e+07 3.2020678595996577e+07 3.0574273739615291e+07 2.9302404911832333e+07 2.8186725602648091e+07 2.7208791119042452e+07 2.6352371620624021e+07 2.5602220872515082e+07 2.4946175717778154e+07 2.4372789196838982e+07 2.3873737805975761e+07 2.3440710220095895e+07 2.3066750689254414e+07 2.2746458942685448e+07 2.2474138728797108e+07 2.2244300386210866e+07 2.2052928618754294e+07 2.1895039684448991e+07 2.1766996360270720e+07 2.1664621127755720e+07 2.1584312494929112e+07 2.1521189928371359e+07 2.1470502840203114e+07 2.1428702742505509e+07 2.1392424850250963e+07 2.1358369682924006e+07 2.1334328505646512e+07 2.1310072105519317e+07 2.1285330014846008e+07 2.1259418084610756e+07 2.1232688141398869e+07 2.1204373232468195e+07 2.1175415811426196e+07 2.1143246875660531e+07 2.1108819112733424e+07 2.1071498977201145e+07 2.1030791747568522e+07 2.0986096255732421e+07 2.0936735271622278e+07 2.0881737877101377e+07 2.0821213146704912e+07 2.0752877867844541e+07 2.0676261884313274e+07 2.0590253485325657e+07 2.0493656296121310e+07 2.0385236546863876e+07 2.0263756719446313e+07 2.0127850181689460e+07 1.9977700049732782e+07 1.9810680980349235e+07 1.9627365997844070e+07 1.9428179176080324e+07 1.9214682872646414e+07 1.8989535330054775e+07 1.8757796214687228e+07 1.8526996472661488e+07 1.8309466749476634e+07 1.8120711614290584e+07 1.7985013990665507e+07 1.7936201818194032e+07 1.8023433502989415e+07 1.8318248578979757e+07 1.8929056449284721e+07 2.0027473136436511e+07 2.1902671224930577e+07 3.5079709551195996e+06 +1.1735811937312816e+01 7.9320825115804717e+07 7.9312836184694201e+07 7.9299244654322803e+07 7.9280993670755729e+07 7.9261757215406150e+07 7.9247570198753029e+07 7.9241253620855659e+07 7.9238142194708496e+07 7.9233237339060485e+07 7.9225143591558069e+07 7.9213973525848672e+07 7.9199328924801305e+07 7.9180527072149277e+07 7.9156854512859076e+07 7.9127548771338284e+07 7.9091686023807585e+07 7.9048158495484859e+07 7.8995672945579469e+07 7.8932717362069353e+07 7.8857511033888534e+07 7.8767971046003893e+07 7.8661619039125502e+07 7.8535051010942057e+07 7.8382417969913810e+07 7.8197284685073555e+07 7.7976412319690943e+07 7.7716257586255163e+07 7.7411206479357630e+07 7.7054382526189536e+07 7.6637964136660710e+07 7.6153207280552506e+07 7.5590438899235860e+07 7.4939089260077298e+07 7.4187784723035350e+07 7.3324527887615636e+07 7.2336975044351712e+07 7.1212859621662199e+07 6.9940571885854125e+07 6.8509932611201167e+07 6.6913141825496554e+07 6.5007440178777218e+07 6.2905910221070647e+07 6.0617547085704885e+07 5.8160967615321755e+07 5.5565258988937534e+07 5.2869772473274633e+07 5.0122540292027541e+07 4.7377210690688252e+07 4.4688790371309549e+07 4.2108536443823323e+07 3.9679324972497031e+07 3.7433034332814194e+07 3.5389226035794206e+07 3.3553368367499858e+07 3.1920384115260296e+07 3.0478292454866409e+07 2.9210255638739083e+07 2.8097963750557210e+07 2.7123015071178727e+07 2.6269220467807677e+07 2.5521374964223534e+07 2.4867349251921792e+07 2.4295729704136517e+07 2.3798217148674212e+07 2.3366525345676742e+07 2.2993719723522041e+07 2.2674416430327628e+07 2.2402936874851506e+07 2.2173808423540179e+07 2.1983028139663804e+07 2.1825627856767353e+07 2.1697981445732355e+07 2.1595924291006669e+07 2.1515865868512403e+07 2.1452940648229983e+07 2.1402412723448288e+07 2.1360744372321423e+07 2.1324581130718321e+07 2.1290633813389856e+07 2.1266668846252684e+07 2.1242489362013336e+07 2.1217825737401642e+07 2.1191995986968894e+07 2.1165350818990264e+07 2.1137125731237479e+07 2.1108260093338411e+07 2.1076193182364866e+07 2.1041874607806783e+07 2.1004672833419044e+07 2.0964094706653573e+07 2.0919540965941474e+07 2.0870336528989352e+07 2.0815513575604521e+07 2.0755180741080958e+07 2.0687062184190080e+07 2.0610689183915641e+07 2.0524953555143233e+07 2.0428662717294443e+07 2.0320586813315265e+07 2.0199492249797393e+07 2.0064016746806800e+07 1.9914342750022743e+07 1.9747853367766105e+07 1.9565119753258198e+07 1.9366564635464787e+07 1.9153745417168219e+07 1.8929311910544742e+07 1.8698307735779170e+07 1.8468239972004935e+07 1.8251400076866224e+07 1.8063243563597601e+07 1.7927976295314163e+07 1.7879318945809674e+07 1.7966273988056678e+07 1.8260154083154727e+07 1.8869024832994007e+07 1.9963958021688864e+07 2.1833209038146798e+07 3.4950222526241499e+06 +1.1740780260087075e+01 7.9112212861030117e+07 7.9104244475038633e+07 7.9090687988711581e+07 7.9072483441905811e+07 7.9053294570711300e+07 7.9039139955506250e+07 7.9032833198854744e+07 7.9029721487789348e+07 7.9024819268151358e+07 7.9016734327007279e+07 7.9005578461333945e+07 7.8990954043816969e+07 7.8972179614795536e+07 7.8948542951787412e+07 7.8919282846831039e+07 7.8883477052925542e+07 7.8840019678500056e+07 7.8787619655923426e+07 7.8724767513934627e+07 7.8649685556188539e+07 7.8560294413755268e+07 7.8454119993236184e+07 7.8327764315935016e+07 7.8175388768274575e+07 7.7990568772826016e+07 7.7770070874498636e+07 7.7510358733396456e+07 7.7205828912592098e+07 7.6849617800834149e+07 7.6433918693314865e+07 7.5950004604377270e+07 7.5388221882165626e+07 7.4738022742144108e+07 7.3988058153904334e+07 7.3126358002347797e+07 7.2140608431685597e+07 7.1018574936120912e+07 6.9748681407105401e+07 6.8320782702119529e+07 6.6727111793764360e+07 6.4825218750185572e+07 6.2727997572531722e+07 6.0444457975481778e+07 5.7993211929125480e+07 5.5403316679211169e+07 5.2714064254867584e+07 4.9973396911113285e+07 4.7234844938645579e+07 4.4553276552595370e+07 4.1979802366859905e+07 3.9557158350129396e+07 3.7317100340585507e+07 3.5279094479736455e+07 3.3448552950129148e+07 3.1820376000008941e+07 3.0382586307199791e+07 2.9118371339140240e+07 2.8009457758851044e+07 2.7037486765402131e+07 2.6186309865451723e+07 2.5440763255704675e+07 2.4788751401430517e+07 2.4218893927207030e+07 2.3722915932710137e+07 2.3292556197370313e+07 2.2920901271239493e+07 2.2602583677479863e+07 2.2331942436169315e+07 2.2103521894189086e+07 2.1913331440234311e+07 2.1756418439183667e+07 2.1629167825747389e+07 2.1527427851280697e+07 2.1447618929795269e+07 2.1384890493096892e+07 2.1334521274624493e+07 2.1292984289444286e+07 2.1256935365801062e+07 2.1223095584491361e+07 2.1199206605290875e+07 2.1175103812547933e+07 2.1150518425060149e+07 2.1124770614642192e+07 2.1098209974516410e+07 2.1070074445747074e+07 2.1041300323413927e+07 2.1009335139533818e+07 2.0975125434733056e+07 2.0938041676112343e+07 2.0897592275483161e+07 2.0853179872296084e+07 2.0804131525701702e+07 2.0749482504358515e+07 2.0689341006027125e+07 2.0621438538747180e+07 2.0545307812720526e+07 2.0459844158254959e+07 2.0363858777874880e+07 2.0256125715886228e+07 2.0135415292108726e+07 2.0000369566114910e+07 1.9851170315456081e+07 1.9685209074780777e+07 1.9503055131906763e+07 1.9305129874891985e+07 1.9092985766110051e+07 1.8869264212015297e+07 1.8638992833412319e+07 1.8409654912023894e+07 1.8193502832339562e+07 1.8005943194293179e+07 1.7871105025626775e+07 1.7822602047265545e+07 1.7909281254136816e+07 1.8202229096466925e+07 1.8809168378027990e+07 1.9900628232393268e+07 2.1763949529600643e+07 3.4821194751362992e+06 +1.1745748582861333e+01 7.8904060156124711e+07 7.8896112580580249e+07 7.8882590906993344e+07 7.8864432679319412e+07 7.8845291324007869e+07 7.8831169050761268e+07 7.8824872116934791e+07 7.8821760147301167e+07 7.8816860590042442e+07 7.8808784475071520e+07 7.8797642825941488e+07 7.8783038605162606e+07 7.8764291608513474e+07 7.8740690845798552e+07 7.8711476375872895e+07 7.8675727527746201e+07 7.8632340292436212e+07 7.8580025774362519e+07 7.8517277042074248e+07 7.8442319412632674e+07 7.8353077061719045e+07 7.8247080159543484e+07 7.8120936747261032e+07 7.7968818582654282e+07 7.7784311738657773e+07 7.7564188140613824e+07 7.7304918389400125e+07 7.7000909607869744e+07 7.6645311035916567e+07 7.6230330841918319e+07 7.5747259068913266e+07 7.5186461452691630e+07 7.4537412131734431e+07 7.3788786654737502e+07 7.2928642153723329e+07 7.1944694579498634e+07 7.0824741433772624e+07 6.9557240163214311e+07 6.8132079625123575e+07 6.6541525639938444e+07 6.4643437285861589e+07 6.2550520064611964e+07 6.0271798122310229e+07 5.7825878417934991e+07 5.5241788156609744e+07 5.2558760077343211e+07 4.9824646491740629e+07 4.7092859855694994e+07 4.4418130117377311e+07 4.1851421699860148e+07 3.9435330836415246e+07 3.7201491209789060e+07 3.5169273953718752e+07 3.3344035431682255e+07 3.1720653554221243e+07 3.0287154622366142e+07 2.9026751359472655e+07 2.7921206993201818e+07 2.6952205585019626e+07 2.6103639212632418e+07 2.5360385160239309e+07 2.4710381592200566e+07 2.4142281303131331e+07 2.3647833604927242e+07 2.3218802230528627e+07 2.2848294795160051e+07 2.2530960153264072e+07 2.2261154887352485e+07 2.2033440277355470e+07 2.1843838003468242e+07 2.1687410917958863e+07 2.1560554989181485e+07 2.1459131299575258e+07 2.1379571171462975e+07 2.1317038957045630e+07 2.1266827988927118e+07 2.1225421990013424e+07 2.1189487052503049e+07 2.1155754494026754e+07 2.1131941281101417e+07 2.1107914956057239e+07 2.1083407577330511e+07 2.1057741467728060e+07 2.1031265108708121e+07 2.1003218877404083e+07 2.0974536003743879e+07 2.0942672250006650e+07 2.0908571097145926e+07 2.0871605009792972e+07 2.0831283959566660e+07 2.0787012481316790e+07 2.0738119769453198e+07 2.0683644172353074e+07 2.0623693451961432e+07 2.0556006443499677e+07 2.0480117284546580e+07 2.0394924810501587e+07 2.0299243995968066e+07 2.0191852775227297e+07 2.0071525369904198e+07 1.9936908166325428e+07 1.9788182276277695e+07 1.9622747635567818e+07 1.9441171672306903e+07 1.9243874437528919e+07 1.9032403467660543e+07 1.8809391787943088e+07 1.8579851066500895e+07 1.8351240857069869e+07 1.8135774585368242e+07 1.7948810080291837e+07 1.7814399758733183e+07 1.7766050700803753e+07 1.7852454877429474e+07 1.8144473188195657e+07 1.8749486639283694e+07 1.9837483297629237e+07 2.1694892184245560e+07 3.4692624685311061e+06 +1.1750716905635592e+01 7.8696366683915108e+07 7.8688439790516943e+07 7.8674952839422405e+07 7.8656840730398729e+07 7.8637746822724715e+07 7.8623656832538083e+07 7.8617369723274693e+07 7.8614257521343857e+07 7.8609360652815282e+07 7.8601293383711845e+07 7.8590165967209205e+07 7.8575581956314102e+07 7.8556862400665149e+07 7.8533297541795731e+07 7.8504128704975396e+07 7.8468436794495925e+07 7.8425119682951570e+07 7.8372890646047518e+07 7.8310245291000694e+07 7.8235411947073668e+07 7.8146318332742080e+07 7.8040498880020365e+07 7.7914567645749837e+07 7.7762706752466485e+07 7.7578512920263365e+07 7.7358763453720629e+07 7.7099935887557253e+07 7.6796447895443425e+07 7.6441461558703974e+07 7.6027199905991897e+07 7.5544969993576378e+07 7.4985156925012305e+07 7.4337256737519622e+07 7.3589969527777523e+07 7.2731379636941791e+07 7.1749232774783596e+07 7.0631358392736331e+07 6.9366247422572598e+07 6.7943822638113320e+07 6.6356382610802710e+07 6.4462095020136893e+07 6.2373476919367239e+07 6.0099566736501403e+07 5.7658966281568550e+07 5.5080672612650655e+07 5.2403859126749597e+07 4.9676288218102023e+07 4.6951254628508449e+07 4.4283350259454899e+07 4.1723393648145579e+07 3.9313841652255207e+07 3.7086206180026740e+07 3.5059763718315788e+07 3.3239815094932694e+07 3.1621216082999591e+07 3.0191996727307361e+07 2.8935395047319990e+07 2.7833210820351567e+07 2.6867170914265148e+07 2.6021207909515560e+07 2.5280240092151012e+07 2.4632239251181651e+07 2.4065891269977443e+07 2.3572969613186248e+07 2.3145262901537187e+07 2.2775899759044081e+07 2.2459545327812672e+07 2.2190573703913175e+07 2.1963563053157467e+07 2.1774547313359343e+07 2.1618604780267026e+07 2.1492142425857637e+07 2.1391034127854694e+07 2.1311722087193403e+07 2.1249385535086229e+07 2.1199332362506304e+07 2.1158056971119247e+07 2.1122235688717313e+07 2.1088610040685181e+07 2.1064872372978788e+07 2.1040922292384855e+07 2.1016492694646817e+07 2.0990908047274970e+07 2.0964515723242335e+07 2.0936558528543703e+07 2.0907966637336273e+07 2.0876204017544907e+07 2.0842211099645313e+07 2.0805362339947686e+07 2.0765169265301831e+07 2.0721038300475452e+07 2.0672300768854801e+07 2.0617998089506511e+07 2.0558237590197302e+07 2.0490765411415335e+07 2.0415117114108182e+07 2.0330195028620336e+07 2.0234817890590213e+07 2.0127767512893550e+07 2.0007822007597126e+07 1.9873632075047858e+07 1.9725378163589582e+07 1.9560468585155483e+07 1.9379468913788695e+07 1.9182797867394872e+07 1.8971998070827134e+07 1.8749694192637056e+07 1.8520881994831234e+07 1.8292997372304291e+07 1.8078214906218458e+07 1.7891843796300489e+07 1.7757860072495613e+07 1.7709664485473663e+07 1.7795794434925526e+07 1.8086885928394143e+07 1.8689979172504097e+07 1.9774522747328721e+07 2.1626036488034945e+07 3.4564510791595681e+06 +1.1755685228409851e+01 7.8489131295630813e+07 7.8481225234469503e+07 7.8467773099159107e+07 7.8449706954422265e+07 7.8430660413493589e+07 7.8416602648197591e+07 7.8410325365291834e+07 7.8407212957360446e+07 7.8402318803754225e+07 7.8394260399984881e+07 7.8383147232191309e+07 7.8368583443944901e+07 7.8349891337631494e+07 7.8326362385963455e+07 7.8297239179989353e+07 7.8261604198676378e+07 7.8218357195178851e+07 7.8166213615477622e+07 7.8103671604733050e+07 7.8028962502698019e+07 7.7940017569267854e+07 7.7834375495900512e+07 7.7708656351519585e+07 7.7557052616391495e+07 7.7373171654671952e+07 7.7153796148790374e+07 7.6895410560424507e+07 7.6592443105303958e+07 7.6238068695760995e+07 7.5824525208475888e+07 7.5343136697015405e+07 7.4784307613041833e+07 7.4137555867649406e+07 7.3391606074923754e+07 7.2534569746555150e+07 7.1554222304114357e+07 7.0438425090778381e+07 6.9175702453243494e+07 6.7756010998696491e+07 6.6171681953055568e+07 6.4281191187488377e+07 6.2196867359031484e+07 5.9927763028694049e+07 5.7492474720372945e+07 5.4919969239364289e+07 5.2249360589806937e+07 4.9528321275207393e+07 4.6810028444755778e+07 4.4148936173501872e+07 4.1595717418046542e+07 3.9192690019555457e+07 3.6971244492113188e+07 3.4950563035322607e+07 3.3135891223718248e+07 3.1522062892622363e+07 3.0097111950050373e+07 2.8844301751368850e+07 2.7745468608177640e+07 2.6782382138579506e+07 2.5939015357319742e+07 2.5200327466883369e+07 2.4554323806352541e+07 2.3989723266899940e+07 2.3498323406340372e+07 2.3071937667780519e+07 2.2703715627672996e+07 2.2388338672222391e+07 2.2120198362393409e+07 2.1893889702722091e+07 2.1705458854887553e+07 2.1549999514287442e+07 2.1423929626554843e+07 2.1323135829030678e+07 2.1244071171582971e+07 2.1181929723212995e+07 2.1132033892454118e+07 2.1090888730822060e+07 2.1055180773355730e+07 2.1021661724150948e+07 2.0997999381121181e+07 2.0974125322313108e+07 2.0949773278364152e+07 2.0924269855254766e+07 2.0897961320713107e+07 2.0870092902446195e+07 2.0841591728162415e+07 2.0809929946850806e+07 2.0776044947726734e+07 2.0739313172934908e+07 2.0699247700037602e+07 2.0655256838140901e+07 2.0606674033465639e+07 2.0552543766642377e+07 2.0492972932996467e+07 2.0425714956320677e+07 2.0350306817078058e+07 2.0265654330282286e+07 2.0170579981647681e+07 2.0063869451351415e+07 1.9944304730485074e+07 1.9810540820757534e+07 1.9662757509438105e+07 1.9498371459477708e+07 1.9317946396566346e+07 1.9121899709371660e+07 1.8911769125521827e+07 1.8690170981259063e+07 1.8462085178955100e+07 1.8234924023727342e+07 1.8020823365980241e+07 1.7835043917827513e+07 1.7701485545622591e+07 1.7653442981106583e+07 1.7739299504414625e+07 1.8029466887944251e+07 1.8630645534250297e+07 1.9711746112353031e+07 2.1557381927894179e+07 3.4436851538473489e+06 +1.1760653551184109e+01 7.8282354212377280e+07 7.8274468248845205e+07 7.8261050964365572e+07 7.8243030722292915e+07 7.8224031441960484e+07 7.8210005844504774e+07 7.8203738389732316e+07 7.8200625802227572e+07 7.8195734389507756e+07 7.8187684870349973e+07 7.8176585967131883e+07 7.8162042414192095e+07 7.8143377765278667e+07 7.8119884723863289e+07 7.8090807146221653e+07 7.8055229085116073e+07 7.8012052173429638e+07 7.7959994026590675e+07 7.7897555326333180e+07 7.7822970422002688e+07 7.7734174112931699e+07 7.7628709347924486e+07 7.7503202204010874e+07 7.7351855512567207e+07 7.7168287278323889e+07 7.6949285560286477e+07 7.6691341740073696e+07 7.6388894566716298e+07 7.6035131773326233e+07 7.5622306071825430e+07 7.5141758497372508e+07 7.4583912829935074e+07 7.3938308829817265e+07 7.3193695597545341e+07 7.2338211776949957e+07 7.1359662453943878e+07 7.0245940805432841e+07 6.8985604523077995e+07 6.7568643964352012e+07 6.5987422913158566e+07 6.4100725022415370e+07 6.2020690605976149e+07 5.9756386209695794e+07 5.7326402934850395e+07 5.4759677229152143e+07 5.2095263653633043e+07 4.9380744848688960e+07 4.6669180492719613e+07 4.4014887055168740e+07 4.1468392216879785e+07 3.9071875161337346e+07 3.6856605387853928e+07 3.4841671167597882e+07 3.3032263103121862e+07 3.1423193290476244e+07 3.0002499619749669e+07 2.8753470821452782e+07 2.7657979725671418e+07 2.6697838644464273e+07 2.5857060958363544e+07 2.5120646700861942e+07 2.4476634686772466e+07 2.3913776734006472e+07 2.3423894434290171e+07 2.2998825987639595e+07 2.2631741866808716e+07 2.2317339658593945e+07 2.2050028340296585e+07 2.1824419708129704e+07 2.1636572113953300e+07 2.1481594609145846e+07 2.1355916083034851e+07 2.1255435896957476e+07 2.1176617920208063e+07 2.1114671018332765e+07 2.1064932076822605e+07 2.1023916768099993e+07 2.0988321806227859e+07 2.0954909045042787e+07 2.0931321806731604e+07 2.0907523547614485e+07 2.0883248830804363e+07 2.0857826394609950e+07 2.0831601404686105e+07 2.0803821503312148e+07 2.0775410781087819e+07 2.0743849543584399e+07 2.0710072147845469e+07 2.0673457016083125e+07 2.0633518772013873e+07 2.0589667603635464e+07 2.0541239073733438e+07 2.0487280715510081e+07 2.0427898993513167e+07 2.0360854592987970e+07 2.0285685910006717e+07 2.0201302234056037e+07 2.0106529789985914e+07 2.0000158113970984e+07 1.9880973064780772e+07 1.9747633932857439e+07 1.9600319846673872e+07 1.9436455795317162e+07 1.9256603661710896e+07 1.9061179509196017e+07 1.8851716182469781e+07 1.8630821709805369e+07 1.8403460180314969e+07 1.8177020378177177e+07 1.7963599536562841e+07 1.7778410021183908e+07 1.7645275757582840e+07 1.7597385768325329e+07 1.7682969664484646e+07 1.7972215638561644e+07 1.8571485281960491e+07 1.9649152924412839e+07 2.1488927991689481e+07 3.4309645398935275e+06 +1.1765621873958368e+01 7.8076033797277555e+07 7.8068168471710533e+07 7.8054785750326782e+07 7.8036811405671269e+07 7.8017859252718508e+07 7.8003865767736942e+07 7.7997608142814904e+07 7.7994495402105823e+07 7.7989606756170854e+07 7.7981566140741900e+07 7.7970481517698407e+07 7.7955958212503761e+07 7.7937321028788507e+07 7.7913863900435060e+07 7.7884831948214725e+07 7.7849310798028752e+07 7.7806203961450547e+07 7.7754231222515211e+07 7.7691895798553810e+07 7.7617435046811864e+07 7.7528787304726377e+07 7.7423499776068464e+07 7.7298204542178392e+07 7.7147114778404832e+07 7.6963859126990572e+07 7.6745231021957427e+07 7.6487728758047283e+07 7.6185801608428299e+07 7.5832650116956294e+07 7.5420541817924336e+07 7.4940834712380230e+07 7.4383971888688460e+07 7.3739514931399971e+07 7.2996237396626502e+07 7.2142305021938071e+07 7.1165552510187209e+07 7.0053904813906595e+07 6.8795952899779856e+07 6.7381720792530924e+07 6.5803604737720706e+07 6.3920695759271592e+07 6.1844945882625937e+07 5.9585435490575105e+07 5.7160750126047634e+07 5.4599795774955563e+07 5.1941567506023191e+07 4.9233558124929681e+07 4.6528709961644664e+07 4.3881202100961193e+07 4.1341417252938747e+07 3.8951396301623575e+07 3.6742288110204808e+07 3.4733087379168093e+07 3.2928930019337811e+07 3.1324606585116267e+07 2.9908159066765774e+07 2.8662901608495116e+07 2.7570743542932246e+07 2.6613539819502614e+07 2.5775344116009798e+07 2.5041197211639356e+07 2.4399171322493248e+07 2.3838051112468686e+07 2.3349682147939239e+07 2.2925927320516929e+07 2.2559977943212189e+07 2.2246547760014869e+07 2.1980063116102420e+07 2.1755152552447569e+07 2.1567886577481776e+07 2.1413389554922380e+07 2.1288101287973717e+07 2.1187933826494481e+07 2.1109361829591956e+07 2.1047608918322206e+07 2.0998026414614324e+07 2.0957140582894325e+07 2.0921658288100678e+07 2.0888351504912935e+07 2.0864839151923802e+07 2.0841116470957547e+07 2.0816918855256829e+07 2.0791577169177495e+07 2.0765435479648512e+07 2.0737743836300246e+07 2.0709423301947895e+07 2.0677962314305890e+07 2.0644292207382869e+07 2.0607793377638038e+07 2.0567981990465038e+07 2.0524270107217047e+07 2.0475995401053447e+07 2.0422208448809568e+07 2.0363015285851799e+07 2.0296183837111156e+07 2.0221253910361219e+07 2.0137138259430096e+07 2.0042666837345622e+07 1.9936633025005788e+07 1.9817826537599266e+07 1.9684910941605318e+07 1.9538064709101252e+07 1.9374721130368114e+07 1.9195440251201879e+07 1.9000636813474968e+07 1.8791838793249656e+07 1.8571645935130075e+07 1.8345006561136156e+07 1.8119286003247820e+07 1.7906542990658890e+07 1.7721941683481023e+07 1.7589230288674720e+07 1.7541492428546309e+07 1.7626804494516578e+07 1.7915131752723414e+07 1.8512497973853212e+07 1.9586742716149215e+07 2.1420674168275248e+07 3.4182890850693081e+06 +1.1770590196732627e+01 7.7870170024117544e+07 7.7862324917516515e+07 7.7848976854293242e+07 7.7831048362530187e+07 7.7812143189537883e+07 7.7798181763485968e+07 7.7791933970009387e+07 7.7788821102515131e+07 7.7783935249005839e+07 7.7775903556220055e+07 7.7764833228917524e+07 7.7750330183641300e+07 7.7731720472749382e+07 7.7708299259895027e+07 7.7679312929879561e+07 7.7643848680943519e+07 7.7600811902396947e+07 7.7548924545900181e+07 7.7486692363286614e+07 7.7412355718514353e+07 7.7323856485168546e+07 7.7218746119885117e+07 7.7093662704213277e+07 7.6942829750901908e+07 7.6759886535913602e+07 7.6541631867103159e+07 7.6284570945139498e+07 7.5983163558638319e+07 7.5630623051635250e+07 7.5219231768173695e+07 7.4740364659198105e+07 7.4184484101521611e+07 7.3541173479193911e+07 7.2799230772711068e+07 7.1946848775106400e+07 7.0971891758455962e+07 6.9862316393132776e+07 6.8606746850769579e+07 6.7195240740423128e+07 6.5620226673170589e+07 6.3741102632632233e+07 6.1669632411634438e+07 5.9414910082625225e+07 5.6995515495140396e+07 5.4440324070112146e+07 5.1788271335417248e+07 4.9086760291005023e+07 4.6388616041480958e+07 4.3747880508302152e+07 4.1214791735520065e+07 3.8831252665522784e+07 3.6628291903217867e+07 3.4624810935138270e+07 3.2825891259681113e+07 3.1226302086245921e+07 2.9814089622537900e+07 2.8572593464621048e+07 2.7483759431176487e+07 2.6529485052387279e+07 2.5693864234761667e+07 2.4961978417800520e+07 2.4321933144668255e+07 2.3762545844546802e+07 2.3275685999206122e+07 2.2853241126817837e+07 2.2488423324619051e+07 2.2175962450559679e+07 2.1910302169280946e+07 2.1686087719713997e+07 2.1499401733324800e+07 2.1345383842668943e+07 2.1220484735051274e+07 2.1120629113393255e+07 2.1042302397200517e+07 2.0980742922037449e+07 2.0931316405767355e+07 2.0890559676091149e+07 2.0855189720703829e+07 2.0821988606267665e+07 2.0798550919756796e+07 2.0774903595964734e+07 2.0750782855907932e+07 2.0725521683807712e+07 2.0699463051024325e+07 2.0671859407507934e+07 2.0643628797488619e+07 2.0612267766531296e+07 2.0578704634640876e+07 2.0542321766785454e+07 2.0502636865510590e+07 2.0459063860040300e+07 2.0410942527785197e+07 2.0357326480140612e+07 2.0298321325008791e+07 2.0231702205269478e+07 2.0157010336523473e+07 2.0073161926782254e+07 1.9978990646366131e+07 1.9873293709641367e+07 1.9754864676903490e+07 1.9622371378183302e+07 1.9475991631360989e+07 1.9313167003171816e+07 1.9134455707848817e+07 1.8940271169667281e+07 1.8732136510295056e+07 1.8512643214890391e+07 1.8286723884508409e+07 1.8061720467422403e+07 1.7849653301788334e+07 1.7665638482634064e+07 1.7533348719950128e+07 1.7485762544002142e+07 1.7570803574700925e+07 1.7858214803759236e+07 1.8453683169028018e+07 1.9524515021059234e+07 2.1352619947472975e+07 3.4056586376167713e+06 +1.1775558519506886e+01 7.7664761654417023e+07 7.7656937317538127e+07 7.7643623646391019e+07 7.7625740930774823e+07 7.7606882595384747e+07 7.7592953176939145e+07 7.7586715216126189e+07 7.7583602248310700e+07 7.7578719212830588e+07 7.7570696461460367e+07 7.7559640445098937e+07 7.7545157671747312e+07 7.7526575441086382e+07 7.7503190145972401e+07 7.7474249434599593e+07 7.7438842076802105e+07 7.7395875338765264e+07 7.7344073338783234e+07 7.7281944361993149e+07 7.7207731777694449e+07 7.7119380993998274e+07 7.7014447718105793e+07 7.6889576027846962e+07 7.6738999766319290e+07 7.6556368839743316e+07 7.6338487428336158e+07 7.6081867631678879e+07 7.5780979744945496e+07 7.5429049901863948e+07 7.5018375243526563e+07 7.4540347654483378e+07 7.3985448780346185e+07 7.3343283779610023e+07 7.2602675026124939e+07 7.1751842329593882e+07 7.0778679484134078e+07 6.9671174819827706e+07 6.8417985643292233e+07 6.7009203065105252e+07 6.5437287965798452e+07 6.3561944877048992e+07 6.1494749415599935e+07 5.9244809197372325e+07 5.6830698243897572e+07 5.4281261308554120e+07 5.1635374330806158e+07 4.8940350534700193e+07 4.6248897923107721e+07 4.3614921475634776e+07 4.1088514874924779e+07 3.8711443479212604e+07 3.6514616012087964e+07 3.4516841101818934e+07 3.2723146112629291e+07 3.1128279104710713e+07 2.9720290619686328e+07 2.8482545743008047e+07 2.7397026762702107e+07 2.6445673732906941e+07 2.5612620720164292e+07 2.4882989738973562e+07 2.4244919585454598e+07 2.3687260373426307e+07 2.3201905441057712e+07 2.2780766867946774e+07 2.2417077479801349e+07 2.2105583205292322e+07 2.1840744980280790e+07 2.1617224694951396e+07 2.1431117070326753e+07 2.1277576964404725e+07 2.1153065918913692e+07 2.1053521254406292e+07 2.0975439121453505e+07 2.0914072529229358e+07 2.0864801551185153e+07 2.0824173549527928e+07 2.0788915606690671e+07 2.0755819852551941e+07 2.0732456614245992e+07 2.0708884427204993e+07 2.0684840337890435e+07 2.0659659444214568e+07 2.0633683625191092e+07 2.0606167723955698e+07 2.0578026775435135e+07 2.0546765408711258e+07 2.0513308938876275e+07 2.0477041693650398e+07 2.0437482908203103e+07 2.0394048374228448e+07 2.0346079967155825e+07 2.0292634324016895e+07 2.0233816626940332e+07 2.0167409215031806e+07 2.0092954707803439e+07 2.0009372757422231e+07 1.9915500740595732e+07 1.9810139693916541e+07 1.9692087011624672e+07 1.9560014774616234e+07 1.9414100149022516e+07 1.9251792953141592e+07 1.9073649575326629e+07 1.8880082126095921e+07 1.8672608886894494e+07 1.8453813107606225e+07 1.8228611714325134e+07 1.8004323339954399e+07 1.7792930044292100e+07 1.7609499997362774e+07 1.7477630633297704e+07 1.7430195697672743e+07 1.7514966486017380e+07 1.7801464365778755e+07 1.8395040427414853e+07 1.9462469373528633e+07 2.1284764820069343e+07 3.3930730462476099e+06 +1.1780526842281144e+01 7.7459808925503984e+07 7.7452004719448790e+07 7.7438725449076280e+07 7.7420888432290792e+07 7.7402076813196793e+07 7.7388179352659896e+07 7.7381951225574300e+07 7.7378838183704525e+07 7.7373957991704702e+07 7.7365944200340703e+07 7.7354902510105133e+07 7.7340440020430505e+07 7.7321885277064726e+07 7.7298535901660234e+07 7.7269640805029303e+07 7.7234290327949837e+07 7.7191393612406820e+07 7.7139676942419454e+07 7.7077651135361403e+07 7.7003562564383328e+07 7.6915360170425579e+07 7.6810603908946201e+07 7.6685943850123033e+07 7.6535624160321087e+07 7.6353305372499138e+07 7.6135797037727147e+07 7.5879618147530749e+07 7.5579249494472653e+07 7.5227929991647869e+07 7.4817971564159855e+07 7.4340783014470190e+07 7.3786865236569211e+07 7.3145845138533503e+07 7.2406569456518292e+07 7.1557284978246346e+07 7.0585914972301632e+07 6.9480479370417625e+07 6.8229668544424847e+07 6.6823607023572691e+07 6.5254787862035021e+07 6.3383221726996563e+07 6.1320296117592014e+07 5.9075132046624742e+07 5.6666297574270375e+07 5.4122606684575073e+07 5.1482875681802109e+07 4.8794328044544697e+07 4.6109554798148341e+07 4.3482324202144884e+07 4.0962585882484473e+07 3.8591967969936781e+07 3.6401259683080249e+07 3.4409177146616399e+07 3.2620693867806721e+07 3.1030536952476602e+07 2.9626761391926821e+07 2.8392757797993109e+07 2.7310544910952233e+07 2.6362105251930665e+07 2.5531612978792284e+07 2.4804230595886525e+07 2.4168130078083236e+07 2.3612194143402711e+07 2.3128339927431077e+07 2.2708504006312411e+07 2.2345939878515538e+07 2.2035409500273786e+07 2.1771391030519392e+07 2.1548562964131914e+07 2.1363032078281395e+07 2.1209968413123060e+07 2.1085844335107457e+07 2.0986609747245573e+07 2.0908771501739647e+07 2.0847597240644902e+07 2.0798481352709267e+07 2.0757981705997817e+07 2.0722835449668407e+07 2.0689844748155583e+07 2.0666555740318529e+07 2.0643058470212348e+07 2.0619090807314739e+07 2.0593989957094487e+07 2.0568096709449410e+07 2.0540668293614529e+07 2.0512616744413920e+07 2.0481454750211272e+07 2.0448104630273040e+07 2.0411952669278026e+07 2.0372519630568273e+07 2.0329223162780441e+07 2.0281407233328156e+07 2.0228131495912142e+07 2.0169500708483350e+07 2.0103304384804849e+07 2.0029086544434782e+07 1.9945770273575816e+07 1.9852196644487303e+07 1.9747170504853416e+07 1.9629493071537893e+07 1.9497840663900450e+07 1.9352389798501525e+07 1.9190598520609319e+07 1.9013021398216378e+07 1.8820069231930777e+07 1.8613255477171067e+07 1.8395155172646701e+07 1.8170669615336470e+07 1.7947094190939311e+07 1.7736372793303069e+07 1.7553525807189528e+07 1.7422075611391347e+07 1.7374791473374531e+07 1.7459292810227100e+07 1.7744880013747033e+07 1.8336569309770510e+07 1.9400605308815766e+07 2.1217108277832393e+07 3.3805321601418620e+06 +1.1785495165055403e+01 7.7255310199139610e+07 7.7247526523579583e+07 7.7234281585158467e+07 7.7216490184707299e+07 7.7197725185989738e+07 7.7183859634845480e+07 7.7177641341974258e+07 7.7174528252398953e+07 7.7169650929123178e+07 7.7161646116164520e+07 7.7150618766996503e+07 7.7136176572640106e+07 7.7117649323400632e+07 7.7094335869287625e+07 7.7065486383300811e+07 7.7030192776150182e+07 7.6987366064618006e+07 7.6935734697565436e+07 7.6873812023510009e+07 7.6799847418031946e+07 7.6711793353128061e+07 7.6607214030144110e+07 7.6482765507543921e+07 7.6332702268040627e+07 7.6150695467763618e+07 7.5933560026854008e+07 7.5677821821916148e+07 7.5377972133756220e+07 7.5027262644367620e+07 7.4618020050031707e+07 7.4141670054807633e+07 7.3588732781195372e+07 7.2948856861628219e+07 7.2210913363312557e+07 7.1363176013561577e+07 7.0393597507670626e+07 6.9290229321141824e+07 6.8041794821059376e+07 6.6638451872657113e+07 6.5072725608182117e+07 6.3204932417144574e+07 6.1146271740402013e+07 5.8905877842308499e+07 5.6502312688621543e+07 5.3964359393064313e+07 5.1330774578585625e+07 4.8648692009782009e+07 4.5970585859089419e+07 4.3350087888133608e+07 4.0837003970474035e+07 3.8472825365955934e+07 3.6288222163564928e+07 3.4301818338034995e+07 3.2518533815973092e+07 3.0933074942688912e+07 2.9533501274142914e+07 2.8303228985008512e+07 2.7224313250469577e+07 2.6278779001444057e+07 2.5450840418379944e+07 2.4725700410305940e+07 2.4091564056789592e+07 2.3537346599773008e+07 2.3054988913301714e+07 2.2636452005366296e+07 2.2275009991484687e+07 2.1965440812513862e+07 2.1702239802422673e+07 2.1480102014221989e+07 2.1295146247951638e+07 2.1142557682758432e+07 2.1018819480196346e+07 2.0919894090538658e+07 2.0842299038403094e+07 2.0781316557976555e+07 2.0732355313127499e+07 2.0691983649219431e+07 2.0656948754194472e+07 2.0624062798437677e+07 2.0600847803894524e+07 2.0577425231421176e+07 2.0553533771195345e+07 2.0528512730078269e+07 2.0502701812052239e+07 2.0475360625372127e+07 2.0447398213986706e+07 2.0416335301373582e+07 2.0383091219933391e+07 2.0347054205632761e+07 2.0307746545479670e+07 2.0264587739674844e+07 2.0216923841417205e+07 2.0163817512194391e+07 2.0105373087436687e+07 2.0039387233949725e+07 1.9965405367543943e+07 1.9882353998354979e+07 1.9789077883401942e+07 1.9684385670287032e+07 1.9567082387324408e+07 1.9435848579822410e+07 1.9290860117094480e+07 1.9129583246729407e+07 1.8952570721920282e+07 1.8760232037229132e+07 1.8554075836135898e+07 1.8336668970199794e+07 1.8112897153102379e+07 1.7890032591301877e+07 1.7679981124764472e+07 1.7497715492415927e+07 1.7366683237674240e+07 1.7319549455707401e+07 1.7403782129916620e+07 1.7688461323385704e+07 1.8278269377690569e+07 1.9338922363102123e+07 2.1149649813475572e+07 3.3680358289466687e+06 +1.1790463487829662e+01 7.7051265782569751e+07 7.7043501882207036e+07 7.7030291427369639e+07 7.7012545513341874e+07 7.6993827057482511e+07 7.6979993366960809e+07 7.6973784908407465e+07 7.6970671797342420e+07 7.6965797368010208e+07 7.6957801551723257e+07 7.6946788558326244e+07 7.6932366670651868e+07 7.6913866922182813e+07 7.6890589390793711e+07 7.6861785510858417e+07 7.6826548762352914e+07 7.6783792036031753e+07 7.6732245944448173e+07 7.6670426366105571e+07 7.6596585677560166e+07 7.6508679880040020e+07 7.6404277418692365e+07 7.6280040336080596e+07 7.6130233424098879e+07 7.5948538458321169e+07 7.5731775726673707e+07 7.5476477983459458e+07 7.5177146988812074e+07 7.4827047182994485e+07 7.4418520020554096e+07 7.3943008090861514e+07 7.3391050724771664e+07 7.2752318254007712e+07 7.2015706045546621e+07 7.1169514727627724e+07 7.0201726374697849e+07 6.9100423947935417e+07 6.7854363739837915e+07 6.6453736869122900e+07 6.4891100450478800e+07 6.3027076182194293e+07 6.0972675507397488e+07 5.8737045796962231e+07 5.6338742789824285e+07 5.3806518629363224e+07 5.1179070212003559e+07 4.8503441620420568e+07 4.5831990299323767e+07 4.3218211734724835e+07 4.0711768352240667e+07 3.8354014896676123e+07 3.6175502702015281e+07 3.4194763945787296e+07 3.2416665249086034e+07 3.0835892389641415e+07 2.9440509602333829e+07 2.8213958660685610e+07 2.7138331156898320e+07 2.6195694374499802e+07 2.5370302447676521e+07 2.4647398605051834e+07 2.4015220956893168e+07 2.3462717188859861e+07 2.2981851854683619e+07 2.2564610329489261e+07 2.2204287290458255e+07 2.1895676620061316e+07 2.1633290779338930e+07 2.1411841333152339e+07 2.1227459071092341e+07 2.1075344268203519e+07 2.0951990851686820e+07 2.0853373783897452e+07 2.0776021232715327e+07 2.0715229983845543e+07 2.0666422936197106e+07 2.0626178883864008e+07 2.0591255025762405e+07 2.0558473509643022e+07 2.0535332311783686e+07 2.0511984218227558e+07 2.0488168737495497e+07 2.0463227271733571e+07 2.0437498442188472e+07 2.0410244229090322e+07 2.0382370694674406e+07 2.0351406573427849e+07 2.0318268219924100e+07 2.0282345815625347e+07 2.0243163166825324e+07 2.0200141619805142e+07 2.0152629307449687e+07 2.0099691890158337e+07 2.0041433282453418e+07 1.9975657282739498e+07 1.9901910699152853e+07 1.9819123455798957e+07 1.9726143983616423e+07 1.9621784718988232e+07 1.9504854490568306e+07 1.9374038057128962e+07 1.9229510643007647e+07 1.9068746673573434e+07 1.8892297092747603e+07 1.8700570092865642e+07 1.8495069519584633e+07 1.8278354061312005e+07 1.8055293894019254e+07 1.7833138112756766e+07 1.7623754615420066e+07 1.7442068634178337e+07 1.7311453096412767e+07 1.7264469230041534e+07 1.7348434028448198e+07 1.7632207871255025e+07 1.8220140193616074e+07 1.9277420073418625e+07 2.1082388920718078e+07 3.3555839027750022e+06 +1.1795431810603921e+01 7.6847674349375263e+07 7.6839930412979931e+07 7.6826754316666439e+07 7.6809053757966235e+07 7.6790381771897912e+07 7.6776579892120510e+07 7.6770381267447755e+07 7.6767268161012277e+07 7.6762396650715902e+07 7.6754409849028468e+07 7.6743411226079345e+07 7.6729009656204328e+07 7.6710537414957345e+07 7.6687295807309061e+07 7.6658537528627053e+07 7.6623357627287984e+07 7.6580670866815075e+07 7.6529210022618055e+07 7.6467493502033904e+07 7.6393776681159139e+07 7.6306019088706091e+07 7.6201793411098108e+07 7.6077767671053886e+07 7.5928216962522775e+07 7.5746833676706031e+07 7.5530443467642441e+07 7.5275585960463136e+07 7.4976773385221854e+07 7.4627282930106774e+07 7.4219470794553846e+07 7.3744796437372327e+07 7.3193818377394229e+07 7.2556228620430768e+07 7.1820946801953018e+07 7.0976300412315160e+07 7.0010300857554451e+07 6.8911062526503205e+07 6.7667374567352161e+07 6.6269461269637585e+07 6.4709911635102555e+07 6.2849652256932929e+07 6.0799506641841084e+07 5.8568635122991242e+07 5.6175587080979742e+07 5.3649083589294747e+07 5.1027761773549020e+07 4.8358576067117758e+07 4.5693767312944576e+07 4.3086694943965666e+07 4.0586878242069185e+07 3.8235535792516254e+07 3.6063100548047818e+07 3.4088013240658194e+07 3.2315087460138869e+07 3.0738988608766109e+07 2.9347785713694740e+07 2.8124946182700429e+07 2.7052598007004272e+07 2.6112850765253294e+07 2.5289998476537667e+07 2.4569324604016844e+07 2.3939100214764718e+07 2.3388305358035829e+07 2.2908928208576508e+07 2.2492978444168996e+07 2.2133771248176463e+07 2.1826116401928518e+07 2.1564543445673432e+07 2.1343780409837708e+07 2.1159970040388692e+07 2.1008327665332839e+07 2.0885357948036503e+07 2.0787048327892613e+07 2.0709937586928044e+07 2.0649337021848116e+07 2.0600683726603236e+07 2.0560566915566307e+07 2.0525753770840701e+07 2.0493076389031067e+07 2.0470008771782793e+07 2.0446734938962124e+07 2.0422995215123735e+07 2.0398133091561198e+07 2.0372486109959960e+07 2.0345318615532577e+07 2.0317533697906382e+07 2.0286668078579072e+07 2.0253635143210135e+07 2.0217827013124790e+07 2.0178769009369135e+07 2.0135884318956275e+07 2.0088523148371644e+07 2.0035754148027714e+07 1.9977680813182332e+07 1.9912114052376699e+07 1.9838602062249146e+07 1.9756078170840576e+07 1.9663394472297113e+07 1.9559367180658150e+07 1.9442808913757134e+07 1.9312408631424967e+07 1.9168340915323708e+07 1.9008088344055939e+07 1.8832200057854731e+07 1.8641082950598445e+07 1.8436236084222596e+07 1.8220210007843111e+07 1.7997859405301686e+07 1.7776410327849582e+07 1.7567692842867848e+07 1.7386584814387355e+07 1.7256384772652492e+07 1.7209550382553369e+07 1.7293248090002194e+07 1.7576119234721377e+07 1.8162181320807613e+07 1.9216097977699861e+07 2.1015325094191968e+07 3.3431762322044298e+06 +1.1800400133378179e+01 7.6644535318035856e+07 7.6636811676448360e+07 7.6623669589715943e+07 7.6606014269136548e+07 7.6587388674161866e+07 7.6573618552746192e+07 7.6567429761024386e+07 7.6564316685215697e+07 7.6559448118737698e+07 7.6551470349653795e+07 7.6540486111596510e+07 7.6526104870398596e+07 7.6507660142536893e+07 7.6484454459489882e+07 7.6455741776892722e+07 7.6420618710730329e+07 7.6378001896397308e+07 7.6326626271090686e+07 7.6265012769777998e+07 7.6191419766614869e+07 7.6103810316023782e+07 7.5999761343249217e+07 7.5875946847277880e+07 7.5726652216671079e+07 7.5545580454642892e+07 7.5329562579648137e+07 7.5075145080404744e+07 7.4776850647978172e+07 7.4427969207524553e+07 7.4020871690482095e+07 7.3547034408733517e+07 7.2997035048717424e+07 7.2360587265207723e+07 7.1626634930781081e+07 7.0783532359107941e+07 6.9819320240144923e+07 6.8722144332401767e+07 6.7480826569918573e+07 6.6085624330681950e+07 6.4529158408362679e+07 6.2672659876083031e+07 6.0626764367227100e+07 5.8400645033327751e+07 5.6012844765655845e+07 5.3492053469235383e+07 5.0876848455268987e+07 4.8214094541344739e+07 4.5555916095031239e+07 4.2955536718925521e+07 4.0462332855370648e+07 3.8117387285002671e+07 3.5951014952390648e+07 3.3981565494643539e+07 3.2213799743409924e+07 3.0642362916617952e+07 2.9255328946497373e+07 2.8036190909926783e+07 2.6967113178667620e+07 2.6030247568976350e+07 2.5209927915923413e+07 2.4491477832153779e+07 2.3863201267773595e+07 2.3314110555680204e+07 2.2836217433018871e+07 2.2421555815801773e+07 2.2063461338382777e+07 2.1756759638076622e+07 2.1495997286743004e+07 2.1275918734120768e+07 2.1092678649534192e+07 2.0941507371002149e+07 2.0818920268650785e+07 2.0720917224050749e+07 2.0644047604242925e+07 2.0583637176501945e+07 2.0535137189975768e+07 2.0495147250899743e+07 2.0460444496779975e+07 2.0427870944756165e+07 2.0404876692606069e+07 2.0381676902916659e+07 2.0358012713925809e+07 2.0333229699998170e+07 2.0307664326449618e+07 2.0280583296416048e+07 2.0252886736074004e+07 2.0222119329938706e+07 2.0189191503710024e+07 2.0153497312880736e+07 2.0114563588834859e+07 2.0071815353888266e+07 2.0024604882051576e+07 1.9972003804921944e+07 1.9914115200159520e+07 1.9848757064968389e+07 1.9775478980697200e+07 1.9693217669349693e+07 1.9600828877520170e+07 1.9497132585858766e+07 1.9380945190265093e+07 1.9250959839221671e+07 1.9107350473988928e+07 1.8947607801990505e+07 1.8772279165262304e+07 1.8581770163063068e+07 1.8377575087559801e+07 1.8162236372530576e+07 1.7940593254995476e+07 1.7719848809960809e+07 1.7511795385449909e+07 1.7331263615772866e+07 1.7201477852248665e+07 1.7154792500231743e+07 1.7238223899516080e+07 1.7520194991947047e+07 1.8104392323377322e+07 1.9154955614762787e+07 2.0948457829546619e+07 3.3308126682758536e+06 +1.1805368456152438e+01 7.6441847879902095e+07 7.6434144711558968e+07 7.6421036584747046e+07 7.6403426397773296e+07 7.6384847109164432e+07 7.6371108690685332e+07 7.6364929730474383e+07 7.6361816711168736e+07 7.6356951113413885e+07 7.6348982394635066e+07 7.6338012555652365e+07 7.6323651653916270e+07 7.6305234445385292e+07 7.6282064687387124e+07 7.6253397595481768e+07 7.6218331352160424e+07 7.6175784463760659e+07 7.6124494028275594e+07 7.6062983507131457e+07 7.5989514271082938e+07 7.5902052898291096e+07 7.5798180550633088e+07 7.5674577198978454e+07 7.5525538519598886e+07 7.5344778123540670e+07 7.5129132392123491e+07 7.4875154670602500e+07 7.4577378101598233e+07 7.4229105336755306e+07 7.3822722026341975e+07 7.3349721318811238e+07 7.2800700048048928e+07 7.2165393492397562e+07 7.1432769730014652e+07 7.0591209859206602e+07 6.9628783806075066e+07 6.8533668640931085e+07 6.7294719013735637e+07 6.5902225308846042e+07 6.4348840016437091e+07 6.2496098274601646e+07 6.0454447907319106e+07 5.8233074741166621e+07 5.5850515047810391e+07 5.3335427466050297e+07 5.0726329449869372e+07 4.8069996235330880e+07 4.5418435841395468e+07 4.2824736263514750e+07 4.0338131408440106e+07 3.7999568606690660e+07 3.5839245166868463e+07 3.3875419980788536e+07 3.2112801394258879e+07 3.0546014630960800e+07 2.9163138640222009e+07 2.7947692202318985e+07 2.6881876050877590e+07 2.5947884182012592e+07 2.5130090177771661e+07 2.4413857715476718e+07 2.3787523554372225e+07 2.3240132231230646e+07 2.2763718987046782e+07 2.2350341911851708e+07 2.1993357035787698e+07 2.1687605809528131e+07 2.1427651788884114e+07 2.1208255796883781e+07 2.1025584393158279e+07 2.0874882882974602e+07 2.0752677313934732e+07 2.0654979974821553e+07 2.0578350788777724e+07 2.0518129953303348e+07 2.0469782832912311e+07 2.0429919397367753e+07 2.0395326711948976e+07 2.0362856685909111e+07 2.0339935583910521e+07 2.0316809620312143e+07 2.0293220744707771e+07 2.0268516608455364e+07 2.0243032603636015e+07 2.0216037784382194e+07 2.0188429322481677e+07 2.0157759841543626e+07 2.0124936816259161e+07 2.0089356230592515e+07 2.0050546421834808e+07 2.0007934242250375e+07 1.9960874027295657e+07 1.9908440380938116e+07 1.9850735964839641e+07 1.9785585843526311e+07 1.9712540979280137e+07 1.9630541478080511e+07 1.9538446728267707e+07 1.9435080466064334e+07 1.9319262854341604e+07 1.9189691217911158e+07 1.9046538859848909e+07 1.8887304592047840e+07 1.8712533963863518e+07 1.8522631283696685e+07 1.8319086087998752e+07 1.8104432718908936e+07 1.7883495011998530e+07 1.7663453133266069e+07 1.7456061822367195e+07 1.7276104621848155e+07 1.7146731921830676e+07 1.7100195170825366e+07 1.7183361042764414e+07 1.7464434721915353e+07 1.8046772766282905e+07 1.9093992524297655e+07 2.0881786623364817e+07 3.3184930624922630e+06 +1.1810336778926697e+01 7.6239612105930448e+07 7.6231928901710153e+07 7.6218854621424854e+07 7.6201289487657443e+07 7.6182756421415314e+07 7.6169049647140354e+07 7.6162880516725168e+07 7.6159767579527900e+07 7.6154904975140899e+07 7.6146945324312851e+07 7.6135989898471236e+07 7.6121649346721888e+07 7.6103259663167089e+07 7.6080125830587909e+07 7.6051504323469505e+07 7.6016494890336663e+07 7.5974017907290429e+07 7.5922812632093191e+07 7.5861405051417381e+07 7.5788059531093046e+07 7.5700746171280906e+07 7.5597050367979825e+07 7.5473658059966296e+07 7.5324875203572229e+07 7.5144426014093965e+07 7.4929152233926669e+07 7.4675614057561889e+07 7.4378355070157573e+07 7.4030690638848647e+07 7.3625021119579777e+07 7.3152856481117859e+07 7.2604812684291646e+07 7.1970646605486408e+07 7.1239350497230947e+07 7.0399332203463346e+07 6.9438690838902041e+07 6.8345634727194786e+07 6.7109051164971843e+07 6.5719263460402191e+07 6.4168955705526315e+07 6.2319966687457345e+07 6.0282556485934712e+07 5.8065923459855832e+07 5.5688597131798632e+07 5.3179204777167670e+07 5.0576203950708143e+07 4.7926280341992117e+07 4.5281325748806044e+07 4.2694292782647870e+07 4.0214273118701100e+07 3.7882078991267852e+07 3.5727790444418162e+07 3.3769575973380186e+07 3.2012091709180020e+07 3.0449943070701156e+07 2.9071214135404162e+07 2.7859449420966707e+07 2.6796886003741086e+07 2.5865760001826551e+07 2.5050484675219398e+07 2.4336463681047820e+07 2.3712066514035780e+07 2.3166369835131876e+07 2.2691432330734212e+07 2.2279336200761519e+07 2.1923457816123616e+07 2.1618654398257054e+07 2.1359506439396016e+07 2.1140791089946494e+07 2.0958686766850702e+07 2.0808453700018421e+07 2.0686628585190147e+07 2.0589236083647173e+07 2.0512846645622812e+07 2.0452814858683631e+07 2.0404620162947770e+07 2.0364882863434121e+07 2.0330399925595708e+07 2.0298033122572348e+07 2.0275184956308682e+07 2.0252132602295801e+07 2.0228618819183275e+07 2.0203993329227496e+07 2.0178590454472136e+07 2.0151681593028456e+07 2.0124160971383531e+07 2.0093589128401816e+07 2.0060870596641310e+07 2.0025403282896053e+07 1.9986717025962688e+07 1.9944240502655815e+07 1.9897330103833292e+07 1.9845063397052355e+07 1.9787542629553508e+07 1.9722599912006740e+07 1.9649787583690271e+07 1.9568049124707714e+07 1.9476247554430492e+07 1.9373210353642199e+07 1.9257761441146471e+07 1.9128602305770230e+07 1.8985905614623800e+07 1.8827178259801686e+07 1.8652964003417011e+07 1.8463665866857473e+07 1.8260768644746643e+07 1.8046798611365087e+07 1.7826564246009108e+07 1.7607222872776240e+07 1.7400491733600818e+07 1.7221107416941818e+07 1.7092146568832703e+07 1.7045757982888091e+07 1.7128659106294975e+07 1.7408838004437260e+07 1.7989322215281188e+07 1.9033208246890239e+07 2.0815310973226495e+07 3.3062172668175045e+06 +1.1815305101700956e+01 7.6037827001973197e+07 7.6030163520128936e+07 7.6017123049390242e+07 7.5999602877028987e+07 7.5981115954362273e+07 7.5967440762744024e+07 7.5961281459949553e+07 7.5958168630521193e+07 7.5953309044033274e+07 7.5945358478440776e+07 7.5934417479703933e+07 7.5920097288226187e+07 7.5901735135155156e+07 7.5878637227877572e+07 7.5850061299587026e+07 7.5815108663562760e+07 7.5772701564806253e+07 7.5721581419822767e+07 7.5660276739369273e+07 7.5587054882749051e+07 7.5499889470311642e+07 7.5396370129736900e+07 7.5273188763302609e+07 7.5124661600589558e+07 7.4944523456717998e+07 7.4729621433445200e+07 7.4476522567553848e+07 7.4179780877126738e+07 7.3832724434375405e+07 7.3427768287411749e+07 7.2956439208715737e+07 7.2409372265846342e+07 7.1776345907798290e+07 7.1046376529792041e+07 7.0207898682543561e+07 6.9249040621530876e+07 6.8158041866073802e+07 6.6923822289527349e+07 6.5536738041765854e+07 6.3989504721891366e+07 6.2144264349752627e+07 6.0111089327186100e+07 5.7899190403248496e+07 5.5527090222392753e+07 5.3023384600519083e+07 5.0426471151785173e+07 4.7782946055015773e+07 4.5144585014768429e+07 4.2564205482203521e+07 4.0090757204522125e+07 3.7764917673485242e+07 3.5616650039146118e+07 3.3664032747777343e+07 3.1911669985860921e+07 3.0354147555831801e+07 2.8979554773826644e+07 2.7771461928114604e+07 2.6712142418473661e+07 2.5783874426913176e+07 2.4971110822414476e+07 2.4259295156995710e+07 2.3636829587292325e+07 2.3092822818864606e+07 2.2619356925171781e+07 2.2208538151989579e+07 2.1853763156104490e+07 2.1549904887187414e+07 2.1291560726548880e+07 2.1073524106091201e+07 2.0891985267217286e+07 2.0742219321843956e+07 2.0620773584734771e+07 2.0523685054912016e+07 2.0447534680856906e+07 2.0387691400008842e+07 2.0339648688567426e+07 2.0300037158530816e+07 2.0265663647976801e+07 2.0233399765733782e+07 2.0210624321334932e+07 2.0187645360967942e+07 2.0164206450022049e+07 2.0139659375585403e+07 2.0114337392812446e+07 2.0087514236880884e+07 2.0060081197954409e+07 2.0029606706422761e+07 1.9996992361556727e+07 1.9961637987358734e+07 1.9923074919696327e+07 1.9880733654592313e+07 1.9833972632316798e+07 1.9781872375182133e+07 1.9724534717652488e+07 1.9659798795262501e+07 1.9587218320557777e+07 1.9505740137803853e+07 1.9414230886810299e+07 1.9311521781878520e+07 1.9196440486755617e+07 1.9067692641955853e+07 1.8925450280912079e+07 1.8767228351656206e+07 1.8593568834558185e+07 1.8404873467719045e+07 1.8202622317877129e+07 1.7989333615142349e+07 1.7769800527557768e+07 1.7551157604284532e+07 1.7345084699954253e+07 1.7166271586159043e+07 1.7037721381490838e+07 1.6991480525772780e+07 1.7074117677458167e+07 1.7353404420088045e+07 1.7932040236989830e+07 1.8972602324012902e+07 2.0749030377646539e+07 3.2939851336750179e+06 +1.1820273424475214e+01 7.5836491151915208e+07 7.5828847789194301e+07 7.5815841240654439e+07 7.5798365905842334e+07 7.5779925049931884e+07 7.5766281377282381e+07 7.5760131899820730e+07 7.5757019203580126e+07 7.5752162659394816e+07 7.5744221196369916e+07 7.5733294638504878e+07 7.5718994817359656e+07 7.5700660200014308e+07 7.5677598217783019e+07 7.5649067861862406e+07 7.5614172009535804e+07 7.5571834773614004e+07 7.5520799728302345e+07 7.5459597907252505e+07 7.5386499661579862e+07 7.5299482130050242e+07 7.5196139169527367e+07 7.5073168641794562e+07 7.4924897041928187e+07 7.4745069781112984e+07 7.4530539318631262e+07 7.4277879526172265e+07 7.3981654845721647e+07 7.3635206043401584e+07 7.3230962846353665e+07 7.2760468814316496e+07 7.2214378100832790e+07 7.1582490702143341e+07 7.0853847124568254e+07 7.0016908586754203e+07 6.9059832437012732e+07 6.7970889332354099e+07 6.6739031653161041e+07 6.5354648309146076e+07 6.3810486311726421e+07 6.1968990496661365e+07 5.9940045655321181e+07 5.7732874785290658e+07 5.5365993524773233e+07 5.2867966134466663e+07 5.0277130247739673e+07 4.7639992568883188e+07 4.5008212837804951e+07 4.2434473568947367e+07 3.9967582885356069e+07 3.7648083889150299e+07 3.5505823206213050e+07 3.3558789580498748e+07 3.1811535523130659e+07 3.0258627407555465e+07 2.8888159898315892e+07 2.7683729087118946e+07 2.6627644677416075e+07 2.5702226856938239e+07 2.4891968034596082e+07 2.4182351572514474e+07 2.3561812215721659e+07 2.3019490634932332e+07 2.2547492232439090e+07 2.2137947235990390e+07 2.1784272533437829e+07 2.1481356760289501e+07 2.1223814139605314e+07 2.1006454339084301e+07 2.0825479391760744e+07 2.0676179249144562e+07 2.0555111815802358e+07 2.0458326393932972e+07 2.0382414401448283e+07 2.0322759085634887e+07 2.0274867919184465e+07 2.0235381792969484e+07 2.0201117390236612e+07 2.0168956127328482e+07 2.0146253191476446e+07 2.0123347409386918e+07 2.0099983150819179e+07 2.0075514261720300e+07 2.0050272933488242e+07 2.0023535231377188e+07 1.9996189518314559e+07 1.9965812092456091e+07 1.9933301628661163e+07 1.9898059862475835e+07 1.9859619622456953e+07 1.9817413218527019e+07 1.9770801134292904e+07 1.9718866838133600e+07 1.9661711753306601e+07 1.9597182019063611e+07 1.9524832717388049e+07 1.9443614046874382e+07 1.9352396257073764e+07 1.9250014284936480e+07 1.9135299528120045e+07 1.9006961766537540e+07 1.8865172402209546e+07 1.8707454414934263e+07 1.8534348008762553e+07 1.8346253642317217e+07 1.8144646668325737e+07 1.7932037296302423e+07 1.7713203428007960e+07 1.7495256904464841e+07 1.7289840303031646e+07 1.7111596715430908e+07 1.6983455948817056e+07 1.6937362389609057e+07 1.7019736344397895e+07 1.7298133550273571e+07 1.7874926398874275e+07 1.8912174298010610e+07 2.0682944336137909e+07 3.2817965159466099e+06 +1.1825241747249473e+01 7.5635604696116641e+07 7.5627981291355446e+07 7.5615008530376405e+07 7.5597577918216363e+07 7.5579183048150718e+07 7.5565570830024496e+07 7.5559431175557628e+07 7.5556318637828663e+07 7.5551465160252288e+07 7.5543532816841632e+07 7.5532620713287920e+07 7.5518341272486672e+07 7.5500034195909619e+07 7.5477008138177916e+07 7.5448523347813711e+07 7.5413684265376911e+07 7.5371416870407283e+07 7.5320466893795148e+07 7.5259367890601993e+07 7.5186393202637389e+07 7.5099523484729424e+07 7.4996356820727184e+07 7.4873597027533889e+07 7.4725580858518735e+07 7.4546064316560209e+07 7.4331905216805145e+07 7.4079684258652598e+07 7.3783976298487499e+07 7.3438134785571843e+07 7.3034604112657204e+07 7.2564944610133559e+07 7.2019829496939838e+07 7.1389080291115537e+07 7.0661761578274250e+07 6.9826361206053004e+07 6.8871065567986503e+07 6.7784176400519028e+07 6.6554678521616288e+07 6.5172993518731415e+07 6.3631899721267380e+07 6.1794144363472112e+07 5.9769424694834806e+07 5.7566975820416011e+07 5.5205306244511254e+07 5.2712948578116491e+07 5.0128180433846697e+07 4.7497419078808554e+07 4.4872208417135127e+07 4.2305096250638165e+07 3.9844749381633133e+07 3.7531576875171565e+07 3.5395309201924853e+07 3.3453845749214850e+07 3.1711687620973211e+07 3.0163381948214587e+07 2.8797028852924623e+07 2.7596250262482781e+07 2.6543392163967744e+07 2.5620816692628857e+07 2.4813055728056829e+07 2.4105632357870847e+07 2.3487013841956269e+07 2.2946372736872893e+07 2.2475837715671863e+07 2.2067562924251009e+07 2.1714985426845696e+07 2.1413009502482124e+07 2.1156266168818809e+07 2.0939581283661421e+07 2.0759168638993580e+07 2.0610332983515210e+07 2.0489642782599490e+07 2.0393159607011288e+07 2.0317485315364469e+07 2.0258017424812097e+07 2.0210277365184635e+07 2.0170916278072588e+07 2.0136760664473165e+07 2.0104701720233705e+07 2.0082071080178972e+07 2.0059238261521108e+07 2.0035948436130304e+07 2.0011557502772752e+07 1.9986396592223972e+07 1.9959744092916124e+07 1.9932485449523248e+07 1.9902204804294094e+07 1.9869797916496865e+07 1.9834668427639328e+07 1.9796350654609598e+07 1.9754278715822484e+07 1.9707815132280752e+07 1.9656046309660014e+07 1.9599073261655316e+07 1.9534749110093515e+07 1.9462630302611385e+07 1.9381670382288106e+07 1.9290743197847936e+07 1.9188687397902206e+07 1.9074338103055809e+07 1.8946409220452257e+07 1.8805071522896785e+07 1.8647855997793950e+07 1.8475301078397881e+07 1.8287805947563838e+07 1.8086841257851191e+07 1.7874909221740548e+07 1.7656772519545726e+07 1.7439520350745566e+07 1.7234758125237573e+07 1.7057082391472340e+07 1.6929349860636838e+07 1.6883403165324859e+07 1.6965514696044970e+07 1.7243024977217205e+07 1.7817980269181170e+07 1.8851923712102558e+07 2.0617052349143844e+07 3.2696512669712175e+06 +1.1830210070023732e+01 7.5435166994994625e+07 7.5427563306531414e+07 7.5414624273184076e+07 7.5397238260343924e+07 7.5378889287077203e+07 7.5365308459653541e+07 7.5359178625696152e+07 7.5356066271691620e+07 7.5351215884915426e+07 7.5343292678022236e+07 7.5332395042254224e+07 7.5318135991413787e+07 7.5299856460345268e+07 7.5276866326264411e+07 7.5248427094548970e+07 7.5213644767862722e+07 7.5171447191518947e+07 7.5120582252067119e+07 7.5059586024761781e+07 7.4986734840309441e+07 7.4900012868063763e+07 7.4797022416117772e+07 7.4674473252249971e+07 7.4526712380684569e+07 7.4347506391847998e+07 7.4133718454883114e+07 7.3881936089706749e+07 7.3586744557668492e+07 7.3241509980186209e+07 7.2838691402149931e+07 7.2369865908030421e+07 7.1825725761579156e+07 7.1196113976834103e+07 7.0470119187313721e+07 6.9636255830348134e+07 6.8682739296901986e+07 6.7597902344967246e+07 6.6370762160475031e+07 6.4991772926750079e+07 6.3453744196870305e+07 6.1619725185580254e+07 5.9599225670433596e+07 5.7401492723269850e+07 5.5045027587744467e+07 5.2558331130854771e+07 4.9979620906049415e+07 4.7355224780736804e+07 4.4736570952935174e+07 4.2176072735966846e+07 3.9722255914837733e+07 3.7415395869522586e+07 3.5285107283741489e+07 3.3349200532758355e+07 3.1612125580493938e+07 3.0068410501317408e+07 2.8706160982803527e+07 2.7509024819823407e+07 2.6459384262715943e+07 2.5539643335821357e+07 2.4734373320210185e+07 2.4029136944338247e+07 2.3412433909645993e+07 2.2873468579287231e+07 2.2404392838969454e+07 2.1997384689209323e+07 2.1645901316017799e+07 2.1344862599673748e+07 2.1088916305378031e+07 2.0872904435534399e+07 2.0693052508394975e+07 2.0544680027604856e+07 2.0424365990290709e+07 2.0328184201373946e+07 2.0252746931503642e+07 2.0193465927803949e+07 2.0145876537882295e+07 2.0106640126061201e+07 2.0072592983768523e+07 2.0040636058281906e+07 2.0018077501786456e+07 1.9995317432288032e+07 1.9972101821431953e+07 1.9947788614813101e+07 1.9922707885713201e+07 1.9896140338830974e+07 1.9868968509539984e+07 1.9838784360640146e+07 1.9806480744578000e+07 1.9771463203237873e+07 1.9733267537403330e+07 1.9691329668769162e+07 1.9645014149689678e+07 1.9593410314444244e+07 1.9536618768742513e+07 1.9472499595947277e+07 1.9400610605591957e+07 1.9319908675375257e+07 1.9229271242631022e+07 1.9127540656720653e+07 1.9013555750313163e+07 1.8886034545535456e+07 1.8745147188176136e+07 1.8588432649285942e+07 1.8416427596672144e+07 1.8229529941208202e+07 1.8029205649064727e+07 1.7817948959214374e+07 1.7600507375193853e+07 1.7383947521409284e+07 1.7179837749805916e+07 1.7002728201804388e+07 1.6875402707538847e+07 1.6829602444633618e+07 1.6911452322142873e+07 1.7188078283945866e+07 1.7761201417069919e+07 1.8791850110419098e+07 2.0551353918092672e+07 3.2575492405436602e+06 +1.1835178392797991e+01 7.5235177100549340e+07 7.5227593146522179e+07 7.5214687777327895e+07 7.5197346275351360e+07 7.5179043103021607e+07 7.5165493604124099e+07 7.5159373588314399e+07 7.5156261443141088e+07 7.5151414171186328e+07 7.5143500117637649e+07 7.5132616962925076e+07 7.5118378311519727e+07 7.5100126330494270e+07 7.5077172118956864e+07 7.5048778438485920e+07 7.5014052853095368e+07 7.4971925072657228e+07 7.4921145138254538e+07 7.4860251644289911e+07 7.4787523908642754e+07 7.4700949613200754e+07 7.4598135287872434e+07 7.4475796647048086e+07 7.4328290938285172e+07 7.4149395335365340e+07 7.3935978359444335e+07 7.3684634343649045e+07 7.3389958944961429e+07 7.3045330945937306e+07 7.2643224030217990e+07 7.2175232019497901e+07 7.1632066201674521e+07 7.1003591061211616e+07 7.0278919247617900e+07 6.9446591749064401e+07 6.8494852905986592e+07 6.7412066439908013e+07 6.6187281835207202e+07 6.4810985789294988e+07 6.3276018984729551e+07 6.1445732198579818e+07 5.9429447807014793e+07 5.7236424708812147e+07 5.4885156760873236e+07 5.2404112992896840e+07 4.9831450860957965e+07 4.7213408871477634e+07 4.4601299646267273e+07 4.2047402234647311e+07 3.9600101707481742e+07 3.7299540111295931e+07 3.5175216710227340e+07 3.3244853211073000e+07 3.1512848704031046e+07 2.9973712391532157e+07 2.8615555634269930e+07 2.7422052125864830e+07 2.6375620359342135e+07 2.5458706189411279e+07 2.4655920229507405e+07 2.3952864764315989e+07 2.3338071863474503e+07 2.2800777617748350e+07 2.2333157067497801e+07 2.1927412004367746e+07 2.1577019681650639e+07 2.1276915538753755e+07 2.1021764041482002e+07 2.0806423291373447e+07 2.0627130500385676e+07 2.0479219884943202e+07 2.0359280945007768e+07 2.0263399685248539e+07 2.0188198759692650e+07 2.0129104105757970e+07 2.0081664949560534e+07 2.0042552850141723e+07 2.0008613862090655e+07 1.9976758656226981e+07 1.9954271971622158e+07 1.9931584437539149e+07 1.9908442823156334e+07 1.9884207114863645e+07 1.9859206331561480e+07 1.9832723487369005e+07 1.9805638217300143e+07 1.9775550281144839e+07 1.9743349633348200e+07 1.9708443710532628e+07 1.9670369793065332e+07 1.9628565600584045e+07 1.9582397710857715e+07 1.9530958378093064e+07 1.9474347801525559e+07 1.9410433005163532e+07 1.9338773156575341e+07 1.9258328458337929e+07 1.9167979925815780e+07 1.9066573598297898e+07 1.8952952009534229e+07 1.8825837284501970e+07 1.8685398944207147e+07 1.8529183919341072e+07 1.8357727117689759e+07 1.8171425181849267e+07 1.7971739405434940e+07 1.7761156077287950e+07 1.7544407568783823e+07 1.7328537995535858e+07 1.7125078760760847e+07 1.6948533734730143e+07 1.6821614080932003e+07 1.6775959820066432e+07 1.6857548813206851e+07 1.7133293054281622e+07 1.7704589412459191e+07 1.8731953037945263e+07 2.0485848545386430e+07 3.2454902909134249e+06 +1.1840146715572249e+01 7.5035634224073619e+07 7.5028070186886415e+07 7.5015198322346345e+07 7.4997901302236691e+07 7.4979643830919698e+07 7.4966125600852937e+07 7.4960015400977120e+07 7.4956903489697173e+07 7.4952059356423616e+07 7.4944154472843558e+07 7.4933285812187135e+07 7.4919067569480613e+07 7.4900843142896414e+07 7.4877924852494225e+07 7.4849576715684459e+07 7.4814907856654733e+07 7.4772849848970845e+07 7.4722154887152866e+07 7.4661364083338454e+07 7.4588759741143554e+07 7.4502333052944839e+07 7.4399694767827839e+07 7.4277566542704463e+07 7.4130315860800579e+07 7.3951730474907011e+07 7.3738684256383017e+07 7.3487778344278231e+07 7.3193618781673551e+07 7.2849597001291603e+07 7.2448201311795071e+07 7.1981042255592778e+07 7.1438850123860121e+07 7.0811510845736474e+07 7.0088161055025667e+07 6.9257368251499027e+07 6.8307405677322850e+07 6.7226667959366143e+07 6.6004236811199017e+07 6.4630631362492695e+07 6.3098723331302650e+07 6.1272164638014860e+07 5.9260090329691052e+07 5.7071770992447443e+07 5.4725692970753215e+07 5.2250293364813425e+07 4.9683669495862201e+07 4.7071970548521250e+07 4.4466393698973008e+07 4.1919083957262069e+07 3.9478285983116440e+07 3.7184008840696394e+07 3.5065636741066180e+07 3.3140803065286547e+07 3.1413856295006830e+07 2.9879286944622792e+07 2.8525212154767998e+07 2.7335331548510425e+07 2.6292099840612080e+07 2.5378004657443851e+07 2.4577695875509012e+07 2.3876815251217473e+07 2.3263927149221517e+07 2.2728299308877543e+07 2.2262129867423143e+07 2.1857644344184197e+07 2.1508340005430449e+07 2.1209167807638213e+07 2.0954808870303124e+07 2.0740137348828487e+07 2.0561402116368689e+07 2.0413952060063802e+07 2.0294387153799538e+07 2.0198805567745827e+07 2.0123840310752824e+07 2.0064931470798865e+07 2.0017642113396708e+07 1.9978653964441270e+07 1.9944822814393032e+07 1.9913069029771909e+07 1.9890654005924154e+07 1.9868038794075303e+07 1.9844970958635394e+07 1.9820812520845912e+07 1.9795891448325049e+07 1.9769493057749595e+07 1.9742494092655651e+07 1.9712502086386431e+07 1.9680404104145415e+07 1.9645609471715745e+07 1.9607656944717214e+07 1.9565986035414271e+07 1.9519965341042191e+07 1.9468690027063575e+07 1.9412259887896780e+07 1.9348548867138002e+07 1.9277117486722652e+07 1.9196929264276378e+07 1.9106868782722257e+07 1.9005785760369867e+07 1.8892526421215344e+07 1.8765816980957948e+07 1.8625826337990377e+07 1.8470109358749155e+07 1.8299199196387004e+07 1.8113491228969257e+07 1.7914442091262024e+07 1.7704530145374008e+07 1.7488472674996797e+07 1.7273291353020847e+07 1.7070480742929321e+07 1.6894498579379376e+07 1.6767983573003681e+07 1.6722474884887883e+07 1.6803803760562729e+07 1.7078668872845963e+07 1.7648143826159131e+07 1.8672232040573165e+07 2.0420535734386809e+07 3.2334742727834219e+06 +1.1845115038346508e+01 7.4836537905961066e+07 7.4828993833118841e+07 7.4816155280457109e+07 7.4798902678729236e+07 7.4780690804685727e+07 7.4767203786723241e+07 7.4761103400622562e+07 7.4757991748182535e+07 7.4753150777437478e+07 7.4745255080269560e+07 7.4734400926595092e+07 7.4720203101728737e+07 7.4702006233603507e+07 7.4679123862730697e+07 7.4650821261583224e+07 7.4616209113718942e+07 7.4574220855238929e+07 7.4523610833051652e+07 7.4462922675623283e+07 7.4390441670764834e+07 7.4304162519352332e+07 7.4201700187292606e+07 7.4079782269405738e+07 7.3932786477142975e+07 7.3754511137895986e+07 7.3541835471301019e+07 7.3291367415022731e+07 7.2997723388772443e+07 7.2654307464194119e+07 7.2253622561544806e+07 7.1787295927078530e+07 7.1246076834419101e+07 7.0619872631649569e+07 6.9897843904972166e+07 6.9068584626687109e+07 6.8120396892669275e+07 6.7041706177270889e+07 6.5821626353699476e+07 6.4450708902314745e+07 6.2921856482902691e+07 6.1099021739820413e+07 5.9091152463852413e+07 5.6907530789788626e+07 5.4566635424802780e+07 5.2096871447762832e+07 4.9536276008673765e+07 4.6930909010171823e+07 4.4331852313931249e+07 4.1791117115402535e+07 3.9356807966321789e+07 3.7068801298925243e+07 3.4956366637044519e+07 3.3037049377670541e+07 3.1315147658018235e+07 2.9785133487571914e+07 2.8435129892886940e+07 2.7248862456764329e+07 2.6208822094400737e+07 2.5297538145005450e+07 2.4499699678817559e+07 2.3800987839558303e+07 2.3189999213650662e+07 2.2656033110342246e+07 2.2191310705897406e+07 2.1788081184149370e+07 2.1439861770036336e+07 2.1141618895147964e+07 2.0888050285967570e+07 2.0674046106515523e+07 2.0495866858694449e+07 2.0348876058417849e+07 2.0229684124725703e+07 2.0134401358972620e+07 2.0059671096418828e+07 2.0000947536026388e+07 1.9953807543595273e+07 1.9914942984024253e+07 1.9881219356550638e+07 1.9849566695550274e+07 1.9827223121880032e+07 1.9804680019641850e+07 1.9781685746183805e+07 1.9757604351658080e+07 1.9732762755488738e+07 1.9706448570055678e+07 1.9679535656372938e+07 1.9649639297884222e+07 1.9617643679263122e+07 1.9582960009943869e+07 1.9545128516400952e+07 1.9503590498326633e+07 1.9457716566435538e+07 1.9406604788833424e+07 1.9350354556655120e+07 1.9286846712234508e+07 1.9215643128124576e+07 1.9135710627233066e+07 1.9045937349547110e+07 1.8945176681613673e+07 1.8832278526791859e+07 1.8705973179389287e+07 1.8566428917409323e+07 1.8411208519162245e+07 1.8240843388580825e+07 1.8055727642898008e+07 1.7857313271725319e+07 1.7648070733731817e+07 1.7432702269332830e+07 1.7218207174600173e+07 1.7016043281949542e+07 1.6840622325659584e+07 1.6714510776734103e+07 1.6669147233207710e+07 1.6750216756330337e+07 1.7024205325103629e+07 1.7591864229778726e+07 1.8612686665058240e+07 2.0355414989402778e+07 3.2215010413087583e+06 +1.1850083361120767e+01 7.4637887873366684e+07 7.4630363294446647e+07 7.4617558063822106e+07 7.4600349743379325e+07 7.4582183357664376e+07 7.4568727498187989e+07 7.4562636923872381e+07 7.4559525555128098e+07 7.4554687770493776e+07 7.4546801276138335e+07 7.4535961642146453e+07 7.4521784243957892e+07 7.4503614938208222e+07 7.4480768484927893e+07 7.4452511411230922e+07 7.4417955958959132e+07 7.4376037425694093e+07 7.4325512309578001e+07 7.4264926754307479e+07 7.4192569030033454e+07 7.4106437344298080e+07 7.4004150877064392e+07 7.3882443156879276e+07 7.3735702115761280e+07 7.3557736651275113e+07 7.3345431329287499e+07 7.3095400878843263e+07 7.2802272086635485e+07 7.2459461652212724e+07 7.2059487093726546e+07 7.1593992344328910e+07 7.1053745639330775e+07 7.0428675719857529e+07 6.9707967092756942e+07 6.8880240163371488e+07 6.7933825833681300e+07 6.6857180367400497e+07 6.5639449727958202e+07 6.4271217664891168e+07 6.2745417686143689e+07 6.0926302739873417e+07 5.8922633435108766e+07 5.6743703316885531e+07 5.4407983330872551e+07 5.1943846443574116e+07 4.9389269598040007e+07 4.6790223455520205e+07 4.4197674694747657e+07 4.1663500921659000e+07 3.9235666882716484e+07 3.6953916728362992e+07 3.4847405660168104e+07 3.2933591431596082e+07 3.1216722098871425e+07 2.9691251348490100e+07 2.8345308198371559e+07 2.7162644220797446e+07 2.6125786509746738e+07 2.5217306058312986e+07 2.4421931061152086e+07 2.3725381964859903e+07 2.3116287504602525e+07 2.2583978480824027e+07 2.2120699051141601e+07 2.1718722000742532e+07 2.1371584459150109e+07 2.1074268291171033e+07 2.0821487783611152e+07 2.0608149064034324e+07 2.0430524230702937e+07 2.0283991386460494e+07 2.0165171366741173e+07 2.0070186569990035e+07 1.9995690629399784e+07 1.9937151815417387e+07 1.9890160755213592e+07 1.9851419424898036e+07 1.9817803005369987e+07 1.9786251171160657e+07 1.9763978837605588e+07 1.9741507632896297e+07 1.9718586705019619e+07 1.9694582127106037e+07 1.9669819773480244e+07 1.9643589545382898e+07 1.9616762430170860e+07 1.9586961438075557e+07 1.9555067881917432e+07 1.9520494849247806e+07 1.9482784033121422e+07 1.9441378515301965e+07 1.9395650914137252e+07 1.9344702191729262e+07 1.9288631337511253e+07 1.9225326071728352e+07 1.9154349613760795e+07 1.9074672082141217e+07 1.8985185163421847e+07 1.8884745901584208e+07 1.8772207868552130e+07 1.8646305425171912e+07 1.8507206231228426e+07 1.8352480953146305e+07 1.8182659250947479e+07 1.7998133984802477e+07 1.7800352512790903e+07 1.7591777413437866e+07 1.7377095928088315e+07 1.7163285041792899e+07 1.6961765964289289e+07 1.6786904564263668e+07 1.6661195285905018e+07 1.6615976459899625e+07 1.6696787393402435e+07 1.6969901997295093e+07 1.7535750195755698e+07 1.8553316459039766e+07 2.0290485815731391e+07 3.2095704520955225e+06 +1.1855051683895026e+01 7.4439682455987558e+07 7.4432177699794620e+07 7.4419405989901602e+07 7.4402241833379477e+07 7.4384120823248982e+07 7.4370696071198344e+07 7.4364615306747451e+07 7.4361504246463105e+07 7.4356669671463147e+07 7.4348792396107703e+07 7.4337967294335008e+07 7.4323810331545860e+07 7.4305668591805309e+07 7.4282858053950861e+07 7.4254646499115393e+07 7.4220147726494685e+07 7.4178298894019336e+07 7.4127858650123611e+07 7.4067375652092159e+07 7.3995141151028618e+07 7.3909156859019190e+07 7.3807046167562068e+07 7.3685548534468800e+07 7.3539062104714453e+07 7.3361406341510132e+07 7.3149471155019358e+07 7.2899878058227271e+07 7.2607264195347592e+07 7.2265058882517532e+07 7.1865794222108990e+07 7.1401130817330837e+07 7.0861855844155028e+07 7.0237919410989612e+07 6.9518529913147822e+07 6.8692334150164336e+07 6.7747691781905949e+07 6.6673089803449482e+07 6.5457706199124023e+07 6.4092156906329699e+07 6.2569406187372647e+07 6.0754006874229617e+07 5.8754532469314463e+07 5.6580287790037245e+07 5.4249735897113390e+07 5.1791217554518737e+07 4.9242649463210844e+07 4.6649913084454045e+07 4.4063860045986921e+07 4.1536234589582630e+07 3.9114861958946198e+07 3.6839354372447394e+07 3.4738753073462114e+07 3.2830428511669062e+07 3.1118578924465768e+07 2.9597639856670614e+07 2.8255746422111865e+07 2.7076676211827163e+07 2.6042992476736803e+07 2.5137307804673795e+07 2.4344389445276748e+07 2.3649997063746445e+07 2.3042791470971815e+07 2.2512134880023926e+07 2.2050294372344095e+07 2.1649566271455392e+07 2.1303507557441633e+07 2.1007115486517835e+07 2.0755120859320700e+07 2.0542445721904781e+07 2.0365373736667756e+07 2.0219297551577475e+07 2.0100848389796313e+07 2.0006160712785579e+07 1.9931898423325196e+07 1.9873543823940888e+07 1.9826701264309410e+07 1.9788082804032400e+07 1.9754573278628681e+07 1.9723121975128192e+07 1.9700920672182150e+07 1.9678521153461248e+07 1.9655673355333444e+07 1.9631745367939327e+07 1.9607062023643408e+07 1.9580915505727947e+07 1.9554173936700240e+07 1.9524468030322097e+07 1.9492676236257158e+07 1.9458213514641650e+07 1.9420623020763356e+07 1.9379349613266684e+07 1.9333767912170041e+07 1.9282981765004780e+07 1.9227089761078563e+07 1.9163986477758769e+07 1.9093236477535199e+07 1.9013813164826959e+07 1.8924611762335733e+07 1.8824492960737068e+07 1.8712313989703428e+07 1.8586813264552463e+07 1.8448157829095934e+07 1.8293926214092772e+07 1.8124646341044307e+07 1.7940709816706721e+07 1.7743559381315582e+07 1.7535649756417282e+07 1.7321653228423886e+07 1.7108524536957014e+07 1.6907648377170980e+07 1.6733344886713734e+07 1.6608036695073087e+07 1.6562962160631772e+07 1.6643515265488226e+07 1.6915758476459339e+07 1.7479801297388814e+07 1.8494120971034624e+07 2.0225747719600081e+07 3.1976823611995494e+06 +1.1860020006669284e+01 7.4241921646463081e+07 7.4234436567724258e+07 7.4221698318086997e+07 7.4204578279667541e+07 7.4186502535173610e+07 7.4173108841357008e+07 7.4167037884704962e+07 7.4163927157664672e+07 7.4159095815666273e+07 7.4151227775356263e+07 7.4140417218214720e+07 7.4126280699284717e+07 7.4108166528997064e+07 7.4085391904099897e+07 7.4057225859333992e+07 7.4022783750036478e+07 7.3981004593594894e+07 7.3930649187392592e+07 7.3870268701241970e+07 7.3798157365322262e+07 7.3712320394269481e+07 7.3610385388610110e+07 7.3489097731001809e+07 7.3342865771613345e+07 7.3165519534753636e+07 7.2953954272831857e+07 7.2704798275448710e+07 7.2412699034569785e+07 7.2071098471919596e+07 7.1672543260246158e+07 7.1208710655803174e+07 7.0670406754264683e+07 7.0047603005382985e+07 6.9329531660961747e+07 6.8504865875395983e+07 6.7561994018499672e+07 6.6489433758841746e+07 6.5276395032229058e+07 6.3913525882538207e+07 6.2393821233321100e+07 6.0582133379213288e+07 5.8586848792600997e+07 5.6417283425998002e+07 5.4091892332335867e+07 5.1638983983469002e+07 4.9096414804208107e+07 4.6509977097645439e+07 4.3930407573094331e+07 4.1409317333568431e+07 3.8994392422773473e+07 3.6725113475757673e+07 3.4630408141169287e+07 3.2727559903592180e+07 3.1020717442878120e+07 2.9504298342514109e+07 2.8166443916182362e+07 2.6990957802302334e+07 2.5960439386643574e+07 2.5057542792464409e+07 2.4267074255041171e+07 2.3574832573854361e+07 2.2969510562651146e+07 2.2440501768708415e+07 2.1980096139732867e+07 2.1580613474753905e+07 2.1235630550555855e+07 2.0940159973026514e+07 2.0688949010169908e+07 2.0476935581692964e+07 2.0300414881851904e+07 2.0154794062139370e+07 2.0036714704795573e+07 1.9942323300315604e+07 1.9868293992802836e+07 1.9810123077523068e+07 1.9763428587900314e+07 1.9724932639334731e+07 1.9691529695019756e+07 1.9660178626896840e+07 1.9638048145594340e+07 1.9615720101879418e+07 1.9592945218215305e+07 1.9569093595852476e+07 1.9544489028263096e+07 1.9518425973998625e+07 1.9491769699517883e+07 1.9462158598913204e+07 1.9430468267367870e+07 1.9396115532036316e+07 1.9358645006159592e+07 1.9317503320035193e+07 1.9272067089497857e+07 1.9221443038877875e+07 1.9165729358912908e+07 1.9102827463411711e+07 1.9032303254242610e+07 1.8953133412042797e+07 1.8864216685234744e+07 1.8764417400435597e+07 1.8652596434336849e+07 1.8527496244718492e+07 1.8389283261531480e+07 1.8235543856283378e+07 1.8066804217260286e+07 1.7883454701506883e+07 1.7686933445000641e+07 1.7479687335420910e+07 1.7266373748312123e+07 1.7053925243248194e+07 1.6853690108661138e+07 1.6679942885308372e+07 1.6555034599603452e+07 1.6510103931845713e+07 1.6590399967082256e+07 1.6861774350481920e+07 1.7424017108793914e+07 1.8435099750472687e+07 2.0161200208238505e+07 3.1858366251252084e+06 +1.1864988329443543e+01 7.4044604926495761e+07 7.4037139504826531e+07 7.4024434382994592e+07 7.4007358406664863e+07 7.3989327827741355e+07 7.3975965143796176e+07 7.3969903992923126e+07 7.3966793623750761e+07 7.3961965537972838e+07 7.3954106748644322e+07 7.3943310748340413e+07 7.3929194681536600e+07 7.3911108083888024e+07 7.3888369369336799e+07 7.3860248825354874e+07 7.3825863362828851e+07 7.3784153857162401e+07 7.3733883253823400e+07 7.3673605233471796e+07 7.3601617004026726e+07 7.3515927280580878e+07 7.3414167869778499e+07 7.3293090074901909e+07 7.3147112443581954e+07 7.2970075556594908e+07 7.2758880006437421e+07 7.2510160852150083e+07 7.2218575923626721e+07 7.1877579736832350e+07 7.1479733521214664e+07 7.1016731168999851e+07 7.0479397674607113e+07 6.9857725802963957e+07 6.9140971630629957e+07 6.8317834627249762e+07 6.7376731824713096e+07 6.6306211507007971e+07 6.5095515492296375e+07 6.3735323849684633e+07 6.2218662070560843e+07 6.0410681491181828e+07 5.8419581631280571e+07 5.6254689441821866e+07 5.3934451845732115e+07 5.1487144933966920e+07 4.8950564821650632e+07 4.6370414696524523e+07 4.3797316482399188e+07 4.1282748369220331e+07 3.8874257502898984e+07 3.6611193283904187e+07 3.4522370128621452e+07 3.2624984894264732e+07 3.0923136963378780e+07 2.9411226137648899e+07 2.8077400033700537e+07 2.6905488365748391e+07 2.5878126631801158e+07 2.4978010431176670e+07 2.4189984915367968e+07 2.3499887933955368e+07 2.2896444230643068e+07 2.2369078608622365e+07 2.1910103824535131e+07 2.1511863090168640e+07 2.1167952925152350e+07 2.0873401243475951e+07 2.0622971734206229e+07 2.0411618145862143e+07 2.0235647172464695e+07 2.0090480427438386e+07 1.9972769823573641e+07 1.9878673846490636e+07 1.9804876853356298e+07 1.9746889093010392e+07 1.9700342243884027e+07 1.9661968449630264e+07 1.9628671774178628e+07 1.9597420646879595e+07 1.9575360778790839e+07 1.9553103999611836e+07 1.9530401815683801e+07 1.9506626333478242e+07 1.9482100310566939e+07 1.9456120474060901e+07 1.9429549243158530e+07 1.9400032669105031e+07 1.9368443501229238e+07 1.9334200428246565e+07 1.9296849517067209e+07 1.9255839164387465e+07 1.9210547975958295e+07 1.9160085544434477e+07 1.9104549663485564e+07 1.9041848562694844e+07 1.8971549479605295e+07 1.8892632361412760e+07 1.8803999471905101e+07 1.8704518762925550e+07 1.8593054747411706e+07 1.8468353913647566e+07 1.8330582079931438e+07 1.8177333434860546e+07 1.8009132438863825e+07 1.7826368202942438e+07 1.7630474272376169e+07 1.7423889724042457e+07 1.7211257066531036e+07 1.6999486744640511e+07 1.6799890747611817e+07 1.6626698153151121e+07 1.6502188595626205e+07 1.6457401370797431e+07 1.6537441093467494e+07 1.6807949207999367e+07 1.7368397204913441e+07 1.8376252347612657e+07 2.0096842789820839e+07 3.1740331008241754e+06 +1.1869956652217802e+01 7.3847731528161868e+07 7.3840285737812892e+07 7.3827613558389097e+07 7.3810581537730023e+07 7.3792596035989419e+07 7.3779264313267931e+07 7.3773212966064304e+07 7.3770102979277909e+07 7.3765278172846839e+07 7.3757428650270492e+07 7.3746647218847871e+07 7.3732551612229154e+07 7.3714492590225026e+07 7.3691789782987103e+07 7.3663714730382815e+07 7.3629385897602648e+07 7.3587746017137140e+07 7.3537560181227922e+07 7.3477384580233797e+07 7.3405519397842616e+07 7.3319976847664461e+07 7.3218392940028489e+07 7.3097524894136265e+07 7.2951801447361767e+07 7.2775073732253686e+07 7.2564247679378092e+07 7.2315965109621614e+07 7.2024894181314915e+07 7.1684501993319064e+07 7.1287364317831174e+07 7.0825191666003525e+07 7.0288827909885436e+07 6.9668287103693113e+07 6.8952849116246194e+07 6.8131239693573147e+07 6.7191904481450200e+07 6.6123422321223833e+07 6.4915066844310135e+07 6.3557550063771658e+07 6.2043927945948005e+07 6.0239650446784399e+07 5.8252730212030120e+07 5.6092505054990262e+07 5.3777413646914631e+07 5.1335699609967180e+07 4.8805098716966443e+07 4.6231225083364345e+07 4.3664585981104858e+07 4.1156526912913427e+07 3.8754456429138511e+07 3.6497593043617591e+07 3.4414638302309580e+07 3.2522702771694265e+07 3.0825836796359852e+07 2.9318422574780598e+07 2.7988614129034124e+07 2.6820267276819576e+07 2.5796053605662830e+07 2.4898710131421980e+07 2.4113120852282997e+07 2.3425162583801154e+07 2.2823591926918332e+07 2.2297864862562798e+07 2.1840316899001382e+07 2.1443314598162618e+07 2.1100474168873388e+07 2.0806838791658532e+07 2.0557188530442934e+07 2.0346492917888016e+07 2.0171070115672447e+07 2.0026356157749768e+07 1.9909013258924589e+07 1.9815211866157278e+07 1.9741646521481324e+07 1.9683841388193756e+07 1.9637441751164231e+07 1.9599189754700061e+07 1.9565999036706809e+07 1.9534847556416165e+07 1.9512858093652170e+07 1.9490672369105831e+07 1.9468042670738026e+07 1.9444343104330190e+07 1.9419895394718844e+07 1.9393998530699372e+07 1.9367512093036670e+07 1.9338089767041918e+07 1.9306601464782033e+07 1.9272467731084339e+07 1.9235236082174174e+07 1.9194356676002249e+07 1.9149210102366034e+07 1.9098908813693173e+07 1.9043550208153870e+07 1.8981049310516000e+07 1.8910974690248929e+07 1.8832309551508553e+07 1.8743959663088482e+07 1.8644796591353938e+07 1.8533688474822879e+07 1.8409385820297625e+07 1.8272053836591709e+07 1.8119294505859420e+07 1.7951630565985776e+07 1.7769449885605991e+07 1.7574181432819527e+07 1.7368256496718694e+07 1.7156302762708206e+07 1.6945208625943538e+07 1.6746249883698808e+07 1.6573610284130890e+07 1.6449498280096622e+07 1.6404854075515034e+07 1.6484638240709940e+07 1.6754282638495075e+07 1.7312941161535248e+07 1.8317578313632704e+07 2.0032674973472778e+07 3.1622716456942270e+06 +1.1874924974992060e+01 7.3651300804064035e+07 7.3643874180572212e+07 7.3631235170309097e+07 7.3614247002060190e+07 7.3596306495372489e+07 7.3583005684296429e+07 7.3576964138310641e+07 7.3573854558336526e+07 7.3569033054127499e+07 7.3561192813932076e+07 7.3550425963372618e+07 7.3536350824804410e+07 7.3518319381202668e+07 7.3495652478051335e+07 7.3467622907119796e+07 7.3433350686700016e+07 7.3391780405420035e+07 7.3341679301083013e+07 7.3281606072371498e+07 7.3209863877065942e+07 7.3124468425154924e+07 7.3023059928005770e+07 7.2902401516275346e+07 7.2756932109300405e+07 7.2580513386606023e+07 7.2370056614661530e+07 7.2122210368877277e+07 7.1831653126262918e+07 7.1491864557122037e+07 7.1095434962536037e+07 7.0634091455519974e+07 7.0098696764548406e+07 6.9479286206921265e+07 6.8765163411889419e+07 6.7945080362170622e+07 6.7007511269531466e+07 6.5941065474748313e+07 6.4735048353155516e+07 6.3380203780922122e+07 6.1869618106272250e+07 6.0069039482679933e+07 5.8086293761707284e+07 5.5930729483241588e+07 5.3620776946029857e+07 5.1184647216206841e+07 4.8660015692167595e+07 4.6092407461187690e+07 4.3532215277375191e+07 4.1030652182157367e+07 3.8634988432352424e+07 3.6384312002766281e+07 3.4307211929844499e+07 3.2420712825055175e+07 3.0728816253402103e+07 2.9225886987846814e+07 2.7900085557664778e+07 2.6735293911321677e+07 2.5714219702809308e+07 2.4819641304856669e+07 2.4036481492845707e+07 2.3350655964242410e+07 2.2750953104521710e+07 2.2226859994359951e+07 2.1770734836414840e+07 2.1374967480250414e+07 2.1033193770356666e+07 2.0740472112335559e+07 2.0491598898870494e+07 2.0281559402174577e+07 2.0106683219628084e+07 1.9962420764299728e+07 1.9845444524611339e+07 1.9751936875113081e+07 1.9678602514619000e+07 1.9620979481803395e+07 1.9574726629534904e+07 1.9536596075282425e+07 1.9503511004100855e+07 1.9472458877779908e+07 1.9450539612987474e+07 1.9428424733721036e+07 1.9405867307289917e+07 1.9382243432940684e+07 1.9357873805802092e+07 1.9332059669646103e+07 1.9305657775529414e+07 1.9276329419808079e+07 1.9244941685897123e+07 1.9210916969196960e+07 1.9173804231062613e+07 1.9133055385468911e+07 1.9088053000411212e+07 1.9037912379586115e+07 1.8982730527216390e+07 1.8920429242687665e+07 1.8850578423696678e+07 1.8772164521767974e+07 1.8684096800369915e+07 1.8585250429761637e+07 1.8474497163299225e+07 1.8350591514445622e+07 1.8213698084643360e+07 1.8061426626173224e+07 1.7894298159632329e+07 1.7712699314952623e+07 1.7518054496547725e+07 1.7312787228686929e+07 1.7101510417293314e+07 1.6891090472746573e+07 1.6692767107404025e+07 1.6520678872940628e+07 1.6396963250730012e+07 1.6352461644824561e+07 1.6431991005686030e+07 1.6700774232239652e+07 1.7257648555264607e+07 1.8259077200567927e+07 1.9968696269295786e+07 3.1505521175780245e+06 +1.1879893297766319e+01 7.3455312119789913e+07 7.3447904536375329e+07 7.3435298532180354e+07 7.3418354136242762e+07 7.3400458541534245e+07 7.3387188590945765e+07 7.3381156843444288e+07 7.3378047694526777e+07 7.3373229515401855e+07 7.3365398573139042e+07 7.3354646315061539e+07 7.3340591652300701e+07 7.3322587789649472e+07 7.3299956787054971e+07 7.3271972687735751e+07 7.3237757062039003e+07 7.3196256353509247e+07 7.3146239944403887e+07 7.3086269040270314e+07 7.3014649771484911e+07 7.2929401342098027e+07 7.2828168161838770e+07 7.2707719268468961e+07 7.2562503755252004e+07 7.2386393844003558e+07 7.2176306134956509e+07 7.1928895950449869e+07 7.1638852076577902e+07 7.1299666743514627e+07 7.0903944767387435e+07 7.0443429845856652e+07 6.9909003542660937e+07 6.9290722411945626e+07 6.8577913811238259e+07 6.7759355920556471e+07 6.6823551469620965e+07 6.5759140240626507e+07 6.4555459283747256e+07 6.3203284257166803e+07 6.1695731798569798e+07 5.9898847835940219e+07 5.7920271507574804e+07 5.5769361944799155e+07 5.3464540953750104e+07 5.1033986957918234e+07 4.8515314950032853e+07 4.5953961033908978e+07 4.3400203580180429e+07 4.0905123395336971e+07 3.8515852744442917e+07 3.6271349410285547e+07 3.4200090280021742e+07 3.2319014344691716e+07 3.0632074647221018e+07 2.9133618711874373e+07 2.7811813676195744e+07 2.6650567646199942e+07 2.5632624318934709e+07 2.4740803364265002e+07 2.3960066265206274e+07 2.3276367517174106e+07 2.2678527217579573e+07 2.2156063468859427e+07 2.1701357111018885e+07 2.1306821218896374e+07 2.0966111219214603e+07 2.0674300701249115e+07 2.0426202340470564e+07 2.0216817104162037e+07 2.0042485993423186e+07 1.9898673759255797e+07 1.9782063135334343e+07 1.9688848390106145e+07 1.9615744351133224e+07 1.9558302893573221e+07 1.9512196399771035e+07 1.9474186933039792e+07 1.9441207198834084e+07 1.9410254134180069e+07 1.9388404860543292e+07 1.9366360617728371e+07 1.9343875250165965e+07 1.9320326844718207e+07 1.9296035069816571e+07 1.9270303417536736e+07 1.9243985817934949e+07 1.9214751155416172e+07 1.9183463693333264e+07 1.9149547672219362e+07 1.9112553494279705e+07 1.9071934824321602e+07 1.9027076202722277e+07 1.8977095775979221e+07 1.8922090155858122e+07 1.8859987895913560e+07 1.8790360218393065e+07 1.8712196812575411e+07 1.8624410426290356e+07 1.8525879823090333e+07 1.8415480360513393e+07 1.8291970546778753e+07 1.8155514378127456e+07 1.8003729353553899e+07 1.7837134781635627e+07 1.7656116057278924e+07 1.7462093034630675e+07 1.7257481496048741e+07 1.7046879611538094e+07 1.6837131871467959e+07 1.6639442009960497e+07 1.6467903515060436e+07 1.6344583106046580e+07 1.6300223678303141e+07 1.6379498986065067e+07 1.6647423580322873e+07 1.7202518963544667e+07 1.8200748561345503e+07 1.9904906188358061e+07 3.1388743747618953e+06 +1.1884861620540578e+01 7.3259764128306419e+07 7.3252376257301077e+07 7.3239803002816543e+07 7.3222902280322641e+07 7.3205051509979650e+07 7.3191812366864935e+07 7.3185790414809525e+07 7.3182681721142128e+07 7.3177866889723539e+07 7.3170045260791436e+07 7.3159307606776297e+07 7.3145273427240118e+07 7.3127297147853047e+07 7.3104702042147860e+07 7.3076763404038101e+07 7.3042604355099216e+07 7.3001173192408174e+07 7.2951241441806346e+07 7.2891372814126790e+07 7.2819876410455272e+07 7.2734774927191123e+07 7.2633716969324827e+07 7.2513477477450520e+07 7.2368515710785300e+07 7.2192714428558588e+07 7.1982995562518477e+07 7.1736021174609363e+07 7.1446490349965870e+07 7.1107907867525503e+07 7.0712893044267029e+07 7.0253206145150587e+07 6.9719747547984466e+07 6.9102595017782837e+07 6.8391099607854024e+07 6.7574065656139717e+07 6.6640024362248741e+07 6.5577645891877607e+07 6.4376298900960207e+07 6.3026790748746283e+07 6.1522268269750886e+07 5.9729074743635297e+07 5.7754662677007176e+07 5.5608401658270776e+07 5.3308704881187111e+07 5.0883718040853925e+07 4.8370995693989672e+07 4.5815885006188780e+07 4.3268550099526897e+07 4.0779939771876857e+07 3.8397048598344438e+07 3.6158704516249008e+07 3.4093272622669518e+07 3.2217606622113544e+07 3.0535611291756142e+07 2.9041617083124388e+07 2.7723797842409763e+07 2.6566087859512597e+07 2.5551266850841790e+07 2.4662195723513089e+07 2.3883874598634109e+07 2.3202296685563684e+07 2.2606313721153986e+07 2.2085474751926892e+07 2.1632183198127631e+07 2.1238875297637403e+07 2.0899226006061934e+07 2.0608324055133868e+07 2.0360998357188616e+07 2.0152265530153673e+07 1.9978477947127711e+07 1.9835114655783471e+07 1.9718868606754914e+07 1.9625945928840306e+07 1.9553071550369926e+07 1.9495811144083694e+07 1.9449850583572749e+07 1.9411961850564171e+07 1.9379087144301176e+07 1.9348232849772863e+07 1.9326453361014217e+07 1.9304479546357531e+07 1.9282066025155474e+07 1.9258592866001580e+07 1.9234378713733539e+07 1.9208729301969033e+07 1.9182495748460971e+07 1.9153354502824686e+07 1.9122167016808800e+07 1.9088359370699178e+07 1.9051483403253529e+07 1.9010994524999678e+07 1.8966279242842223e+07 1.8916458537626974e+07 1.8861628630228154e+07 1.8799724807869650e+07 1.8730319613677677e+07 1.8652405965175617e+07 1.8564900084257059e+07 1.8466684317153916e+07 1.8356637614985250e+07 1.8233522468860593e+07 1.8097502271961454e+07 1.7946202246636957e+07 1.7780139994719069e+07 1.7599699679722209e+07 1.7406296618974365e+07 1.7202338875738848e+07 1.6992409927554339e+07 1.6783332409354921e+07 1.6586274183486013e+07 1.6415283806786120e+07 1.6292357445353044e+07 1.6248139776378926e+07 1.6327161780290207e+07 1.6594230274608541e+07 1.7147551964647885e+07 1.8142591949771039e+07 1.9841304242689181e+07 3.1272382759746341e+06 +1.1889829943314837e+01 7.3064656646196172e+07 7.3057288331655517e+07 7.3044747946954265e+07 7.3027890772521839e+07 7.3010084735566944e+07 7.2996876345315069e+07 7.2990864185405210e+07 7.2987755970926702e+07 7.2982944509735748e+07 7.2975132209345981e+07 7.2964409170803115e+07 7.2950395481815338e+07 7.2932446787769169e+07 7.2909887574964494e+07 7.2881994387455001e+07 7.2847891896831959e+07 7.2806530252849594e+07 7.2756683123437658e+07 7.2696916723466203e+07 7.2625543123049051e+07 7.2540588508544758e+07 7.2439705677903295e+07 7.2319675469560653e+07 7.2174967301008224e+07 7.1999474463878229e+07 7.1790124219217643e+07 7.1543585361072898e+07 7.1254567263991907e+07 7.0916587243847758e+07 7.0522279104559600e+07 7.0063419661156178e+07 6.9530928084207132e+07 6.8914903323123798e+07 6.8204720095018178e+07 6.7389208856131062e+07 6.6456929227859601e+07 6.5396581701476924e+07 6.4197566469518974e+07 6.2850722511819065e+07 6.1349226767112896e+07 5.9559719443068646e+07 5.7589466497783288e+07 5.5447847842567898e+07 5.3153267939940408e+07 5.0733839671557337e+07 4.8227057128302634e+07 4.5678178583514653e+07 4.3137254046209417e+07 4.0655100532165721e+07 3.8278575228104241e+07 3.6046376571802355e+07 3.3986758228856780e+07 3.2116488949966718e+07 3.0439425502020009e+07 2.8949881438956451e+07 2.7636037415229205e+07 2.6481853930425793e+07 2.5470146696437214e+07 2.4583817797568899e+07 2.3807905923396409e+07 2.3128442913420990e+07 2.2534312071481399e+07 2.2015093310477756e+07 2.1563212574016981e+07 2.1171129200956438e+07 2.0832537622527510e+07 2.0542541671704829e+07 2.0295986451908484e+07 2.0087904187529434e+07 1.9914658591733858e+07 1.9771742967942882e+07 1.9655860455484640e+07 1.9563229009966169e+07 1.9490583632590562e+07 1.9433503754929293e+07 1.9387688703581218e+07 1.9349920351412732e+07 1.9317150364837483e+07 1.9286394549654629e+07 1.9264684640013866e+07 1.9242781045781910e+07 1.9220439158959467e+07 1.9197041024101183e+07 1.9172904265428111e+07 1.9147336851443768e+07 1.9121187096279971e+07 1.9092138991872914e+07 1.9061051186957929e+07 1.9027351596085824e+07 1.8990593490380738e+07 1.8950234020862386e+07 1.8905661655250516e+07 1.8856000200231820e+07 1.8801345487322330e+07 1.8739639517096333e+07 1.8670456149824969e+07 1.8592791521733802e+07 1.8505565318587784e+07 1.8407663458703339e+07 1.8297968476152331e+07 1.8175246833147194e+07 1.8039661321921211e+07 1.7888844864910219e+07 1.7723313362466618e+07 1.7543449750302043e+07 1.7350664822342031e+07 1.7147358945498463e+07 1.6938100948224600e+07 1.6729691674436493e+07 1.6533263220835362e+07 1.6362819345184563e+07 1.6240285868730854e+07 1.6196209540219381e+07 1.6274978987579577e+07 1.6541193907782404e+07 1.7092747137681060e+07 1.8084606920508277e+07 1.9777889945236493e+07 3.1156436803862955e+06 +1.1894798266089095e+01 7.2869989801800221e+07 7.2862640264200345e+07 7.2850132674871713e+07 7.2833318947410151e+07 7.2815557552410886e+07 7.2802379859147742e+07 7.2796377487806559e+07 7.2793269776245415e+07 7.2788461707630739e+07 7.2780658750928611e+07 7.2769950339118779e+07 7.2755957147787988e+07 7.2738036040997192e+07 7.2715512716762617e+07 7.2687664968923658e+07 7.2653619017901152e+07 7.2612326865003288e+07 7.2562564319056317e+07 7.2502900097626001e+07 7.2431649237850651e+07 7.2346841414141312e+07 7.2246133614493728e+07 7.2126312570759252e+07 7.1981857850652993e+07 7.1806673273218766e+07 7.1597691426565960e+07 7.1351587829500705e+07 7.1063082135740072e+07 7.0725704186843365e+07 7.0332102259459376e+07 6.9874069701448873e+07 6.9342544454587117e+07 6.8727646626586601e+07 6.8018774565879837e+07 6.7204784807557985e+07 6.6274265346732304e+07 6.5215946942236543e+07 6.4019261254400358e+07 6.2675078802649051e+07 6.1176606537875488e+07 5.9390781171876498e+07 5.7424682197957337e+07 5.5287699717075005e+07 5.2998229342122726e+07 5.0584351057011962e+07 4.8083498457769789e+07 4.5540840972217910e+07 4.3006314631984539e+07 4.0530604897660501e+07 3.8160431868773222e+07 3.5934364829225458e+07 3.3880546370765544e+07 3.2015660622076020e+07 3.0343516594265759e+07 2.8858411117920835e+07 2.7548531754713394e+07 2.6397865239302438e+07 2.5389263254752193e+07 2.4505669002471190e+07 2.3732159670893516e+07 2.3054805645825963e+07 2.2462521725736566e+07 2.1944918612415068e+07 2.1494444716026194e+07 2.1103582414348874e+07 2.0766045561172273e+07 2.0476953049616598e+07 2.0231166128549658e+07 2.0023732584562067e+07 1.9851027439272307e+07 1.9708558210818134e+07 1.9593038199082732e+07 1.9500697153091360e+07 1.9428280119012412e+07 1.9371380248628322e+07 1.9325710283385452e+07 1.9288061960066255e+07 1.9255396385721389e+07 1.9224738759841889e+07 1.9203098224094823e+07 1.9181264643085856e+07 1.9158994179229151e+07 1.9135670847226311e+07 1.9111611253697541e+07 1.9086125595401000e+07 1.9060059391461592e+07 1.9031104153384306e+07 1.9000115735350817e+07 1.8966523880793367e+07 1.8929883288922947e+07 1.8889652846198339e+07 1.8845222975300007e+07 1.8795720300383136e+07 1.8741240265108030e+07 1.8679731563032590e+07 1.8610769367967449e+07 1.8533353025325626e+07 1.8446405674483925e+07 1.8348816795326114e+07 1.8239472494323853e+07 1.8117143192969091e+07 1.7981991084686782e+07 1.7831656768755198e+07 1.7666654449297413e+07 1.7487365837877281e+07 1.7295197218308736e+07 1.7092541283931285e+07 1.6883952257292759e+07 1.6676209255562961e+07 1.6480408715703694e+07 1.6310509728122119e+07 1.6188367977070339e+07 1.6144432571784398e+07 1.6222950207991472e+07 1.6488314073349472e+07 1.7038104062578607e+07 1.8026793029131308e+07 1.9714662809976950e+07 3.1040904476069766e+06 +1.1899766588863354e+01 7.2675761815135226e+07 7.2668431066485956e+07 7.2655956504603848e+07 7.2639186136570618e+07 7.2621469293703213e+07 7.2608322240819246e+07 7.2602329654145449e+07 7.2599222469095752e+07 7.2594417815218344e+07 7.2586624217218086e+07 7.2575930443185493e+07 7.2561957756404042e+07 7.2544064238550931e+07 7.2521576798426360e+07 7.2493774479032978e+07 7.2459785048600242e+07 7.2418562358705789e+07 7.2368884358096421e+07 7.2309322265264764e+07 7.2238194083049044e+07 7.2153532971381649e+07 7.2053000105689928e+07 7.1933388106668442e+07 7.1789186684132144e+07 7.1614310179531366e+07 7.1405696505815104e+07 7.1160027898855433e+07 7.0872034281939983e+07 7.0535258010513172e+07 7.0142361819842502e+07 6.9685155573114634e+07 6.9154595962102637e+07 6.8540824226392701e+07 6.7833262313271850e+07 6.7020792797278523e+07 6.6092031999042660e+07 6.5035740887006737e+07 6.3841382520302549e+07 6.2499858877468765e+07 6.1004406829548888e+07 5.9222259167748325e+07 5.7260309005941637e+07 5.5127956501532860e+07 5.2843588300393157e+07 5.0435251404902913e+07 4.7940318888085544e+07 4.5403871379364908e+07 4.2875731069504425e+07 4.0406452090699337e+07 3.8042617756502666e+07 3.5822668541915350e+07 3.3774636321740165e+07 3.1915120933436893e+07 3.0247883885866642e+07 2.8767205459720239e+07 2.7461280222083416e+07 2.6314121167590342e+07 2.5308615925932247e+07 2.4427748755394913e+07 2.3656635273562014e+07 2.2981384328898285e+07 2.2390942142171483e+07 2.1874950126708508e+07 2.1425879102450818e+07 2.1036234424310774e+07 2.0699749315591563e+07 2.0411557688569047e+07 2.0166536891948629e+07 1.9959750230510298e+07 1.9787584002624895e+07 1.9645559900391597e+07 1.9530401356058348e+07 1.9438349878736019e+07 1.9366160531810641e+07 1.9309440148651924e+07 1.9263914847512208e+07 1.9226386201947868e+07 1.9193824733168680e+07 1.9163265007287674e+07 1.9141693640745040e+07 1.9119929866295658e+07 1.9097730614543509e+07 1.9074481864526123e+07 1.9050499208309591e+07 1.9025095064222213e+07 1.8999112165023290e+07 1.8970249519065771e+07 1.8939360194464944e+07 1.8905875758099120e+07 1.8869352333107099e+07 1.8829250536211744e+07 1.8784962739282746e+07 1.8735618375611261e+07 1.8681312502427716e+07 1.8620000486073740e+07 1.8551258810183596e+07 1.8474090019918825e+07 1.8387420698056500e+07 1.8290143875547752e+07 1.8181149220701698e+07 1.8059211102523785e+07 1.7924491117764015e+07 1.7774637519398827e+07 1.7610162820517749e+07 1.7431447512145128e+07 1.7239893381331995e+07 1.7037885470449623e+07 1.6829963439319659e+07 1.6622884742410483e+07 1.6427710262564106e+07 1.6258354554276492e+07 1.6136603372046338e+07 1.6092808473840965e+07 1.6171075042335374e+07 1.6435590365576537e+07 1.6983622320098229e+07 1.7969149832068399e+07 1.9651622351792060e+07 3.0925784376856415e+06 +1.1904734911637613e+01 7.2481972072365224e+07 7.2474660919590816e+07 7.2462218785162434e+07 7.2445491670631379e+07 7.2427819292014211e+07 7.2414702822196871e+07 7.2408720016182885e+07 7.2405613381014422e+07 7.2400812163978636e+07 7.2393027939532220e+07 7.2382348814151719e+07 7.2368396638599932e+07 7.2350530711164609e+07 7.2328079150342256e+07 7.2300322247893885e+07 7.2266389318654835e+07 7.2225236063427791e+07 7.2175642569460332e+07 7.2116182554948226e+07 7.2045176986427501e+07 7.1960662507360026e+07 7.1860304477744535e+07 7.1740901402389422e+07 7.1596953125376284e+07 7.1422384505372703e+07 7.1214138777758211e+07 7.0968904888058603e+07 7.0681423019100428e+07 7.0345248028636247e+07 6.9953057096251994e+07 6.9496676583223656e+07 6.8967081909649491e+07 6.8354435420620620e+07 6.7648182630055055e+07 6.6837232112057045e+07 6.5910228464863993e+07 6.4855962808497854e+07 6.3663929532040633e+07 6.2325061992697701e+07 6.0832626889615119e+07 5.9054152668663442e+07 5.7096346150308669e+07 5.4968617416129857e+07 5.2689344027834468e+07 5.0286539923487350e+07 4.7797517625515699e+07 4.5267269012964360e+07 4.2745502572401434e+07 4.0282641334690005e+07 3.7925132128523536e+07 3.5711286964332759e+07 3.3669027356191374e+07 3.1814869180185262e+07 3.0152526695406053e+07 2.8676263805201974e+07 2.7374282179681290e+07 2.6230621097848017e+07 2.5228204111248638e+07 2.4350056474581782e+07 2.3581332164960098e+07 2.2908178409830101e+07 2.2319572780102096e+07 2.1805187323340058e+07 2.1357515212654773e+07 2.0969084718332030e+07 2.0633648380368240e+07 2.0346355089215204e+07 2.0102098247958899e+07 1.9895956635582950e+07 1.9724327795736507e+07 1.9582747553617168e+07 1.9467949445886288e+07 1.9376186708402596e+07 1.9304224394082710e+07 1.9247682979369849e+07 1.9202301921425890e+07 1.9164892603401318e+07 1.9132434934318285e+07 1.9101972819900133e+07 1.9080470418406632e+07 1.9058776244379412e+07 1.9036647994384892e+07 1.9013473606079038e+07 1.8989567659921769e+07 1.8964244789201781e+07 1.8938344948900327e+07 1.8909574621572442e+07 1.8878784097692605e+07 1.8845406762256306e+07 1.8809000158075679e+07 1.8769026627036616e+07 1.8724880484455217e+07 1.8675693964315582e+07 1.8621561739057828e+07 1.8560445827479541e+07 1.8491924019435897e+07 1.8415002050379816e+07 1.8328609936326265e+07 1.8231644248766720e+07 1.8122998207384735e+07 1.8001450116912581e+07 1.7867160979577478e+07 1.7717786678956203e+07 1.7553838042279370e+07 1.7375694343666643e+07 1.7184752886668399e+07 1.6983391085316345e+07 1.6776134079678556e+07 1.6569717725461524e+07 1.6375167456698671e+07 1.6206353423096724e+07 1.6084991656117171e+07 1.6041336849903310e+07 1.6119353092217803e+07 1.6383022379578535e+07 1.6929301491824929e+07 1.7911676886634503e+07 1.9588768086533546e+07 3.0811075111088939e+06 +1.1909703234411872e+01 7.2288620323434532e+07 7.2281328668389946e+07 7.2268918862206668e+07 7.2252234879419550e+07 7.2234606879106566e+07 7.2221520934883893e+07 7.2215547905366465e+07 7.2212441843174353e+07 7.2207644084832117e+07 7.2199869248676717e+07 7.2189204782675356e+07 7.2175273125020266e+07 7.2157434789113462e+07 7.2135019102599531e+07 7.2107307605262369e+07 7.2073431157545924e+07 7.2032347308162212e+07 7.1982838281762972e+07 7.1923480294713572e+07 7.1852597275445566e+07 7.1768229348842978e+07 7.1668046056470260e+07 7.1548851782883078e+07 7.1405156498066187e+07 7.1230895572907537e+07 7.1023017562896580e+07 7.0778218115544528e+07 7.0491247663314745e+07 7.0155673554536372e+07 6.9764187399027288e+07 6.9308632038406953e+07 6.8780001599767014e+07 6.8168479507204279e+07 6.7463534808708593e+07 6.6654102038513675e+07 6.5728854024191678e+07 6.4676611979438223e+07 6.3486901554487124e+07 6.2150687404745936e+07 6.0661265965779461e+07 5.8886460912822686e+07 5.6932792860093139e+07 5.4809681681440666e+07 5.2535495738121621e+07 5.0138215821687818e+07 4.7655093877193831e+07 4.5131033081769578e+07 4.2615628355133660e+07 4.0159171854023330e+07 3.7807974223061144e+07 3.5600219352107562e+07 3.3563718749780200e+07 3.1714904659593277e+07 3.0057444342611667e+07 2.8585585496425677e+07 2.7287536991068430e+07 2.6147364413841300e+07 2.5148027213038966e+07 2.4272591579354577e+07 2.3506249779685434e+07 2.2835187336856350e+07 2.2248413099842995e+07 2.1735629673286643e+07 2.1289352526970934e+07 2.0902132784938052e+07 2.0567742251048733e+07 2.0281344753177263e+07 2.0037849703365177e+07 1.9832351310999181e+07 1.9661258333450712e+07 1.9520120688422680e+07 1.9405681988945961e+07 1.9314207164528031e+07 1.9242471229862582e+07 1.9186108266154483e+07 1.9140871031520717e+07 1.9103580691746145e+07 1.9071226517249435e+07 1.9040861726496898e+07 1.9019428086435419e+07 1.8997803307241417e+07 1.8975745849221248e+07 1.8952645602899998e+07 1.8928816140136171e+07 1.8903574302556541e+07 1.8877757275958370e+07 1.8849078994468555e+07 1.8818386979405392e+07 1.8785116428426340e+07 1.8748826299864750e+07 1.8708980655687794e+07 1.8664975748899229e+07 1.8615946605869371e+07 1.8561987515656199e+07 1.8501067129430950e+07 1.8432764539609686e+07 1.8356088662486427e+07 1.8269972937178366e+07 1.8173317465301622e+07 1.8065019007315170e+07 1.7943859792127058e+07 1.7810000229417551e+07 1.7661103810375798e+07 1.7497679681603894e+07 1.7320105903851744e+07 1.7129775310449872e+07 1.6929057709601693e+07 1.6722463764553549e+07 1.6516707795999981e+07 1.6322779894207487e+07 1.6154505934827426e+07 1.6033532432513967e+07 1.5990017304306073e+07 1.6067783960041594e+07 1.6330609711239029e+07 1.6875141160186071e+07 1.7854373751019582e+07 1.9526099531044990e+07 3.0696775287998016e+06 +1.1914671557186130e+01 7.2095705488529265e+07 7.2088433478355274e+07 7.2076056069121942e+07 7.2059415092351273e+07 7.2041831386164352e+07 7.2028775909865528e+07 7.2022812652745143e+07 7.2019707186388329e+07 7.2014912908409774e+07 7.2007147475203216e+07 7.1996497679142833e+07 7.1982586545640454e+07 7.1964775802413508e+07 7.1942395984995469e+07 7.1914729880675808e+07 7.1880909894361794e+07 7.1839895421576664e+07 7.1790470823253065e+07 7.1731214812264979e+07 7.1660454277201936e+07 7.1576232822048917e+07 7.1476224167346075e+07 7.1357238572539628e+07 7.1213796125486121e+07 7.1039842704040080e+07 7.0832332181314006e+07 7.0587966899488375e+07 7.0301507530386925e+07 6.9966533901426867e+07 6.9575752038179383e+07 6.9121021245095521e+07 6.8593354334786564e+07 6.7982955783762008e+07 6.7279318141656384e+07 6.6471401863066569e+07 6.5547907956839211e+07 6.4497687672500528e+07 6.3310297852459043e+07 6.1976734370145172e+07 6.0490323305919901e+07 5.8719183138600372e+07 5.6769648364594147e+07 5.4651148518523276e+07 5.2382042645475715e+07 4.9990278309039868e+07 4.7513046850866526e+07 4.4995162795440242e+07 4.2486107633145563e+07 4.0036042874117777e+07 3.7691143279474288e+07 3.5489464961951710e+07 3.3458709779250223e+07 3.1615226670158833e+07 2.9962636148325849e+07 2.8495169876527593e+07 2.7201044020875763e+07 2.6064350500406418e+07 2.5068084634818975e+07 2.4195353490145806e+07 2.3431387553422090e+07 2.2762410559285820e+07 2.2177462562748861e+07 2.1666276648602784e+07 2.1221390526761182e+07 2.0835378113584884e+07 2.0502030424187247e+07 2.0216526183024131e+07 1.9973790765943479e+07 1.9768933768892687e+07 1.9598375131586619e+07 1.9457678823663559e+07 1.9343598506633583e+07 1.9252410770500716e+07 1.9180900564180154e+07 1.9124715535271797e+07 1.9079621705156501e+07 1.9042449995207265e+07 1.9010199010997452e+07 1.8979931256864361e+07 1.8958566175123390e+07 1.8937010585670516e+07 1.8915023710431144e+07 1.8891997386923019e+07 1.8868244181481585e+07 1.8843083137451988e+07 1.8817348679987408e+07 1.8788762172274265e+07 1.8758168374829613e+07 1.8725004292668372e+07 1.8688830295462620e+07 1.8649112160132043e+07 1.8605248071693882e+07 1.8556375840521004e+07 1.8502589373822063e+07 1.8441863935030386e+07 1.8373779915475171e+07 1.8297349402911130e+07 1.8211509249435972e+07 1.8115163076311506e+07 1.8007211174396433e+07 1.7886439684996903e+07 1.7753008427435800e+07 1.7604588477513049e+07 1.7441687306350984e+07 1.7264681764963455e+07 1.7074960229625821e+07 1.6874884925242700e+07 1.6668952080997307e+07 1.6463854546136014e+07 1.6270547171973227e+07 1.6102811690523883e+07 1.5982225305283612e+07 1.5938849442164794e+07 1.6016367248993842e+07 1.6278351957237152e+07 1.6821140908424731e+07 1.7797239984282121e+07 1.9463616203095570e+07 3.0582883521166933e+06 +1.1919639879960389e+01 7.1903227728502706e+07 7.1895974743933260e+07 7.1883629698440462e+07 7.1867031639862746e+07 7.1849492143717110e+07 7.1836467077703491e+07 7.1830513588869438e+07 7.1827408741040677e+07 7.1822617965026647e+07 7.1814861949238569e+07 7.1804226833509609e+07 7.1790336230341390e+07 7.1772553080557480e+07 7.1750209126705155e+07 7.1722588402989015e+07 7.1688824857712969e+07 7.1647879732045785e+07 7.1598539521724939e+07 7.1539385434889063e+07 7.1468747318341061e+07 7.1384672253058881e+07 7.1284838135539249e+07 7.1166061095568240e+07 7.1022871330628321e+07 7.0849225220294282e+07 7.0642081952933535e+07 7.0398150557692796e+07 7.0112201935949907e+07 6.9777828382183298e+07 6.9387750323427692e+07 6.8933843509525865e+07 6.8407139416817531e+07 6.7797863547771573e+07 6.7095531921103798e+07 6.6289130872133084e+07 6.5367389542705409e+07 6.4319189160283655e+07 6.3134117690771654e+07 6.1803202145440377e+07 6.0319798157940954e+07 5.8552318584715754e+07 5.6606911893409654e+07 5.4493017148698650e+07 5.2228983964540705e+07 4.9842726595680051e+07 4.7371375755094811e+07 4.4859657364402793e+07 4.2356939622783378e+07 3.9913253621368147e+07 3.7574638538141362e+07 3.5379023051725864e+07 3.3353999722531710e+07 3.1515834511497110e+07 2.9868101434659418e+07 2.8405016289900318e+07 2.7114802634922285e+07 2.5981578743514650e+07 2.4988375781165149e+07 2.4118341628500730e+07 2.3356744922916498e+07 2.2689847527481362e+07 2.2106720631277256e+07 2.1597127722301580e+07 2.1153628694389105e+07 2.0768820194800422e+07 2.0436512397329312e+07 2.0151898882404711e+07 1.9909920944449596e+07 1.9705703522387274e+07 1.9535677706904840e+07 1.9395421479153145e+07 1.9281698521239392e+07 1.9190797050630458e+07 1.9119511922937434e+07 1.9063504313951503e+07 1.9018553470609609e+07 1.8981500042961255e+07 1.8949351945513438e+07 1.8919180941682618e+07 1.8897884215684503e+07 1.8876397611464020e+07 1.8854481110288642e+07 1.8831528491033308e+07 1.8807851317429084e+07 1.8782770827964790e+07 1.8757118695703473e+07 1.8728623690392695e+07 1.8698127820147492e+07 1.8665069892013259e+07 1.8629011682754800e+07 1.8589420679263454e+07 1.8545696992784716e+07 1.8496981209442265e+07 1.8443366856066622e+07 1.8382835788282584e+07 1.8314969692726374e+07 1.8238783819216572e+07 1.8153218422758356e+07 1.8057180633885797e+07 1.7949574263358131e+07 1.7829189353276733e+07 1.7696185134683218e+07 1.7548240245070312e+07 1.7385860485263653e+07 1.7209421500088949e+07 1.7020307222006064e+07 1.6820872314964801e+07 1.6615598616813600e+07 1.6411157568754481e+07 1.6218468887685100e+07 1.6051270292027172e+07 1.5931069879236903e+07 1.5887832869357146e+07 1.5965102563035790e+07 1.6226248715099389e+07 1.6767300320627738e+07 1.7740275146364428e+07 1.9401317621411644e+07 3.0469398428519657e+06 +1.1924608202734648e+01 7.1711186300508067e+07 7.1703951639316335e+07 7.1691639057481572e+07 7.1675083855135381e+07 7.1657588481292844e+07 7.1644593768536657e+07 7.1638650044040471e+07 7.1635545837157235e+07 7.1630758584507793e+07 7.1623012000486821e+07 7.1612391575359687e+07 7.1598521508535534e+07 7.1580765952787489e+07 7.1558457856668368e+07 7.1530882500935078e+07 7.1497175376029298e+07 7.1456299567455441e+07 7.1407043704755679e+07 7.1347991489554256e+07 7.1277475725290447e+07 7.1193546967453167e+07 7.1093887285818189e+07 7.0975318675692201e+07 7.0832381436110824e+07 7.0659042442871720e+07 7.0452266197243840e+07 7.0208768407705367e+07 6.9923330195175111e+07 6.9589556309257567e+07 6.9200181564304590e+07 6.8747098137633130e+07 6.8221356147770897e+07 6.7613202096549585e+07 6.6912175439134315e+07 6.6107288351918712e+07 6.5187298061482608e+07 6.4141115715421252e+07 6.2958360334386833e+07 6.1630089987364963e+07 6.0149689770081714e+07 5.8385866490119815e+07 5.6444582676546149e+07 5.4335286793882318e+07 5.2076318910518281e+07 4.9695559892476559e+07 4.7230079799178950e+07 4.4724515999947958e+07 4.2228123541383564e+07 3.9790803323167183e+07 3.7458459240608715e+07 3.5268892880370803e+07 3.3249587858623374e+07 3.1416727484432805e+07 2.9773839524825979e+07 2.8315124082014579e+07 2.7028812200165905e+07 2.5899048530302264e+07 2.4908900057764385e+07 2.4041555417031888e+07 2.3282321326010086e+07 2.2617497692827605e+07 2.2036186768823139e+07 2.1528182368486013e+07 2.1086066513234526e+07 2.0702458520054389e+07 2.0371187668989852e+07 2.0087462355831616e+07 1.9846239748580016e+07 1.9642660085550059e+07 1.9473165577166446e+07 1.9333348175681215e+07 1.9219981556032274e+07 1.9129365530212954e+07 1.9058304833034229e+07 1.9002474130347904e+07 1.8957665857091237e+07 1.8920730365103304e+07 1.8888684851674233e+07 1.8858610312579792e+07 1.8837381740284231e+07 1.8815963917288318e+07 1.8794117582037456e+07 1.8771238449015163e+07 1.8747637082351308e+07 1.8722636909106895e+07 1.8697066858731557e+07 1.8668663085179146e+07 1.8638264852467421e+07 1.8605312764341500e+07 1.8569370000565600e+07 1.8529905752864208e+07 1.8486322053053427e+07 1.8437762254711732e+07 1.8384319505773656e+07 1.8323982234081767e+07 1.8256333417947445e+07 1.8180391459905874e+07 1.8095100007784821e+07 1.7999369690998156e+07 1.7892107829827737e+07 1.7772108355561055e+07 1.7639529913022134e+07 1.7492058678605612e+07 1.7330198787923120e+07 1.7154324683212392e+07 1.6965815866221804e+07 1.6767019462357685e+07 1.6562402960664470e+07 1.6358616457615176e+07 1.6166544639826201e+07 1.5999881341939662e+07 1.5880065759973845e+07 1.5836967192561310e+07 1.5913989506957589e+07 1.6174299583103750e+07 1.6713618981684402e+07 1.7683478798083827e+07 1.9339203305687245e+07 3.0356318632308994e+06 +1.1929576525508907e+01 7.1519579143775329e+07 7.1512363867718309e+07 7.1500083475642115e+07 7.1483571071698889e+07 7.1466119727688178e+07 7.1453155311971560e+07 7.1447221348094240e+07 7.1444117804432169e+07 7.1439334096420273e+07 7.1431596958387971e+07 7.1420991233896419e+07 7.1407141709207311e+07 7.1389413747842744e+07 7.1367141503493756e+07 7.1339611502841771e+07 7.1305960777247220e+07 7.1265154255413398e+07 7.1215982699380204e+07 7.1157032302940741e+07 7.1086638824010879e+07 7.1002856290574923e+07 7.0903370942655355e+07 7.0785010636462435e+07 7.0642325764204934e+07 7.0469293692680120e+07 7.0262884233422384e+07 7.0019819766779810e+07 6.9734891622985408e+07 6.9401716995072097e+07 6.9013045069977343e+07 6.8560784435123950e+07 6.8036003829336092e+07 6.7428970727153122e+07 6.6729247987685792e+07 6.5925873588493124e+07 6.5007632792854503e+07 6.3963466610488825e+07 6.2783025048155747e+07 6.1457397152653858e+07 5.9979997390671246e+07 5.8219826093863443e+07 5.6282659944226652e+07 5.4177956676393449e+07 5.1924046699253865e+07 4.9548777410808705e+07 4.7089158193083152e+07 4.4589737914201997e+07 4.2099658607133396e+07 3.9668691207973786e+07 3.7342604629333869e+07 3.5159073707990766e+07 3.3145473467781126e+07 3.1317904890882991e+07 2.9679849743205506e+07 2.8225492599578556e+07 2.6943072084685281e+07 2.5816759249005221e+07 2.4829656871477187e+07 2.3964994279449698e+07 2.3208116201580931e+07 2.2545360507826827e+07 2.1965860439902239e+07 2.1459440062244348e+07 2.1018703467688225e+07 2.0636292581832308e+07 2.0306055738677267e+07 2.0023216108852550e+07 1.9782746689030599e+07 1.9579802973438647e+07 1.9410838261037994e+07 1.9271458434949592e+07 1.9158447135209296e+07 1.9068115735445675e+07 1.8997278822276801e+07 1.8941624513589684e+07 1.8896958394772623e+07 1.8860140492697053e+07 1.8828197261317141e+07 1.8798218902128860e+07 1.8777058282023828e+07 1.8755709036779255e+07 1.8733932659840368e+07 1.8711126795612097e+07 1.8687601011560775e+07 1.8662680916806813e+07 1.8637192705658477e+07 1.8608879893887203e+07 1.8578579009828936e+07 1.8545732448525544e+07 1.8509904788628750e+07 1.8470566921644431e+07 1.8427122794285838e+07 1.8378718519322146e+07 1.8325446867291614e+07 1.8265302818251766e+07 1.8197870638619952e+07 1.8122171874316826e+07 1.8037153555962600e+07 1.7941729801493067e+07 1.7834811430327471e+07 1.7715196251365490e+07 1.7583042325283274e+07 1.7436043344553884e+07 1.7274701784772675e+07 1.7099390889118422e+07 1.6911485741746351e+07 1.6713325951828280e+07 1.6509364702031467e+07 1.6306230807202419e+07 1.6114774027690483e+07 1.5948644443707170e+07 1.5829212553883700e+07 1.5786252019231267e+07 1.5863027686275806e+07 1.6122504160365770e+07 1.6660096477326611e+07 1.7626850501141299e+07 1.9277272776586309e+07 3.0243642759104660e+06 +1.1934544848283165e+01 7.1328406743731335e+07 7.1321210447722137e+07 7.1308962278272882e+07 7.1292492618596151e+07 7.1275085210996389e+07 7.1262151037319988e+07 7.1256226830660254e+07 7.1253123972191855e+07 7.1248343829860285e+07 7.1240616151918754e+07 7.1230025138097465e+07 7.1216196161100745e+07 7.1198495794334576e+07 7.1176259395519689e+07 7.1148774736633956e+07 7.1115180388982013e+07 7.1074443123141721e+07 7.1025355832485065e+07 7.0966507201247841e+07 7.0896235940173447e+07 7.0812599547326759e+07 7.0713288430177689e+07 7.0595136300987288e+07 7.0452703636905655e+07 7.0279978290231869e+07 7.0073935380425662e+07 6.9831303951946229e+07 6.9546885534092784e+07 6.9214309751629367e+07 6.8826340149522185e+07 6.8374901707516149e+07 6.7851081763009772e+07 6.7245168736538440e+07 6.6546748858499676e+07 6.5744885867906913e+07 6.4828393016401291e+07 6.3786241118029952e+07 6.2608111097103059e+07 6.1285122898247920e+07 5.9810720268139593e+07 5.8054196635387316e+07 5.6121142927158371e+07 5.4021026018899173e+07 5.1772166547024474e+07 4.9402378362766571e+07 4.6948610147646740e+07 4.4455322320176855e+07 4.1971544039167866e+07 3.9546916505207248e+07 3.7227073948007099e+07 3.5049564795756064e+07 3.3041655831367977e+07 3.1219366034001485e+07 2.9586131415395893e+07 2.8136121190384001e+07 2.6857581657776151e+07 2.5734710289029535e+07 2.4750645630212672e+07 2.3888657640541587e+07 2.3134128989642911e+07 2.2473435425959155e+07 2.1895741110041965e+07 2.1390900279689826e+07 2.0951539043134756e+07 2.0570321873628531e+07 2.0241116106887650e+07 1.9959159647999201e+07 1.9719441277437925e+07 1.9517131702044748e+07 1.9348695278166734e+07 1.9209751779644527e+07 1.9097094783925422e+07 1.9007047193504494e+07 1.8936433419448487e+07 1.8880954993694317e+07 1.8836430614742979e+07 1.8799729957714207e+07 1.8767888707195882e+07 1.8738006243825268e+07 1.8716913374895301e+07 1.8695632504469756e+07 1.8673925878777228e+07 1.8651193066472985e+07 1.8627742641311802e+07 1.8602902387922876e+07 1.8577495773971558e+07 1.8549273654739857e+07 1.8519069831146598e+07 1.8486328484327335e+07 1.8450615587570824e+07 1.8411403727237005e+07 1.8368098759187862e+07 1.8319849547188181e+07 1.8266748485810217e+07 1.8206797087503597e+07 1.8139580903150994e+07 1.8064124612756155e+07 1.7979378619700454e+07 1.7884260520149883e+07 1.7777684622277379e+07 1.7658452601045139e+07 1.7526721935088575e+07 1.7380193810213953e+07 1.7219369047115084e+07 1.7044619693476323e+07 1.6857316428907678e+07 1.6659791368608143e+07 1.6456483431224030e+07 1.6254000212889059e+07 1.6063156651362522e+07 1.5897559201525277e+07 1.5778509868150892e+07 1.5735686957612675e+07 1.5812216707341453e+07 1.6070862046749782e+07 1.6606732394097105e+07 1.7570389818074077e+07 1.9215525555688873e+07 3.0131369439781532e+06 +1.1939513171057424e+01 7.1137668469325975e+07 7.1130490889743492e+07 7.1118274814163685e+07 7.1101847818504885e+07 7.1084484258734211e+07 7.1071580273390204e+07 7.1065665820835441e+07 7.1062563669414476e+07 7.1057787113713786e+07 7.1050068909869209e+07 7.1039492616341382e+07 7.1025684192511633e+07 7.1008011420317829e+07 7.0985810860501811e+07 7.0958371529894903e+07 7.0924833538457647e+07 7.0884165497555733e+07 7.0835162430508181e+07 7.0776415510529548e+07 7.0706266399136111e+07 7.0622776062410280e+07 7.0523639072170541e+07 7.0405694992081523e+07 7.0263514375881121e+07 7.0091095555918247e+07 6.9885418956865877e+07 6.9643220279787347e+07 6.9359311242953613e+07 6.9027333890693098e+07 6.8640066111732036e+07 6.8189449260070860e+07 6.7666589250059798e+07 6.7061795421506681e+07 6.6364677343296990e+07 6.5564324476087384e+07 6.4649578011693887e+07 6.3609438510668784e+07 6.2433617746221654e+07 6.1113266481087275e+07 5.9641857651208565e+07 5.7888977354342297e+07 5.5960030856351197e+07 5.3864494044661351e+07 5.1620677670681275e+07 4.9256361961109504e+07 4.6808434874322385e+07 4.4321268431690916e+07 4.1843779057658106e+07 3.9425478445321061e+07 3.7111866441318445e+07 3.4940365406023383e+07 3.2938134231859688e+07 3.1121110218055043e+07 2.9492683868087374e+07 2.8047009203438461e+07 2.6772340289828055e+07 2.5652901040841781e+07 2.4671865743030787e+07 2.3812544926233333e+07 2.3060359131202832e+07 2.2401721901842494e+07 2.1825828245795194e+07 2.1322562497949984e+07 2.0884572725995056e+07 2.0504545889918860e+07 2.0176368275097586e+07 1.9895292480759095e+07 1.9656323026434638e+07 1.9454645788346488e+07 1.9286736149157986e+07 1.9148227733389646e+07 1.9035924028291281e+07 1.8946159432495963e+07 1.8875768154214814e+07 1.8820465101654757e+07 1.8776082049028233e+07 1.8739498293068655e+07 1.8707758723008566e+07 1.8677971872099068e+07 1.8656946553879626e+07 1.8635733855852980e+07 1.8614096774888389e+07 1.8591436798175436e+07 1.8568061508750465e+07 1.8543300860254224e+07 1.8517975602083482e+07 1.8489843906835224e+07 1.8459736856298670e+07 1.8427100412406612e+07 1.8391501938988555e+07 1.8352415712166350e+07 1.8309249491384819e+07 1.8261154883132350e+07 1.8208223907497931e+07 1.8148464589479756e+07 1.8081463760821104e+07 1.8006249226355068e+07 1.7921774752261572e+07 1.7826961402580313e+07 1.7720726963941425e+07 1.7601876965858452e+07 1.7470568306963585e+07 1.7324509643755730e+07 1.7164200147110946e+07 1.6990010672765572e+07 1.6803307508855782e+07 1.6606415298746180e+07 1.6403758739351705e+07 1.6201924270800067e+07 1.6011692111729650e+07 1.5846625220403615e+07 1.5727957310717322e+07 1.5685271616735455e+07 1.5761556177287923e+07 1.6019372842983330e+07 1.6553526319404874e+07 1.7514096312350601e+07 1.9153961165559262e+07 3.0019497309507667e+06 +1.1944481493831683e+01 7.0947363231868833e+07 7.0940204695597127e+07 7.0928020447355092e+07 7.0911635991196722e+07 7.0894316198568851e+07 7.0881442348545924e+07 7.0875537647380322e+07 7.0872436224670142e+07 7.0867663276413098e+07 7.0859954560541421e+07 7.0849392996963561e+07 7.0835605131489500e+07 7.0817959953573436e+07 7.0795795226086795e+07 7.0768401209898993e+07 7.0734919552716389e+07 7.0694320705249116e+07 7.0645401819607839e+07 7.0586756556310907e+07 7.0516729525972173e+07 7.0433385160141379e+07 7.0334422192178443e+07 7.0216686032346100e+07 7.0074757302522361e+07 6.9902644809606895e+07 6.9697334281088635e+07 6.9455568066678524e+07 6.9172168063655168e+07 6.8840788723845705e+07 6.8454222265033692e+07 6.8004426397919863e+07 6.7482525591660678e+07 6.6878850078685679e+07 6.6183032733600952e+07 6.5384188698822029e+07 6.4471187058254138e+07 6.3433058060889542e+07 6.2259544260598868e+07 6.0941827158374429e+07 5.9473408788701117e+07 5.7724167490687631e+07 5.5799322963064253e+07 5.3708359977258109e+07 5.1469579287714705e+07 4.9110727419219919e+07 4.6668631585438482e+07 4.4187575463444643e+07 4.1716362883559443e+07 3.9304376259788066e+07 3.6996981355049901e+07 3.4831474802234747e+07 3.2834907952931110e+07 3.1023136748544995e+07 2.9399506429235637e+07 2.7958155988935240e+07 2.6687347352410898e+07 2.5571330896142673e+07 2.4593316620057885e+07 2.3736655563476063e+07 2.2986806068417050e+07 2.2330219391073633e+07 2.1756121314753603e+07 2.1254426195220299e+07 2.0817804003675807e+07 2.0438964126185611e+07 2.0111811745780334e+07 1.9831614115601201e+07 1.9593391449624963e+07 1.9392344750255272e+07 1.9224960395563554e+07 1.9086885820752781e+07 1.8974934395344533e+07 1.8885451981449567e+07 1.8815282557249609e+07 1.8760154369383737e+07 1.8715912230596639e+07 1.8679445032604937e+07 1.8647806843363423e+07 1.8618115322320592e+07 1.8597157354838468e+07 1.8576012627330672e+07 1.8554444885099214e+07 1.8531857528252415e+07 1.8508557151987419e+07 1.8483875872491665e+07 1.8458631729321476e+07 1.8430590190197922e+07 1.8400579626085587e+07 1.8368047774361391e+07 1.8332563385353338e+07 1.8293602419898227e+07 1.8250574535389122e+07 1.8202634072856471e+07 1.8149872679365184e+07 1.8090304872685704e+07 1.8023518761833195e+07 1.7948545267205518e+07 1.7864341507812124e+07 1.7769832005320296e+07 1.7663938014505114e+07 1.7545468907941394e+07 1.7414581006305896e+07 1.7268990414198272e+07 1.7109194657796226e+07 1.6935563404355474e+07 1.6749458563573850e+07 1.6553197329151995e+07 1.6351190218333958e+07 1.6150002577896122e+07 1.5960380010460366e+07 1.5795842106122607e+07 1.5677554490344664e+07 1.5635005606405355e+07 1.5711045703999616e+07 1.5968036150540302e+07 1.6500477841431262e+07 1.7457969548254285e+07 1.9092579129731856e+07 2.9908025007732701e+06 +1.1949449816605942e+01 7.0757490081144646e+07 7.0750350972982824e+07 7.0738198498782933e+07 7.0721856459952712e+07 7.0704580358390063e+07 7.0691736590865314e+07 7.0685841638792858e+07 7.0682740966401592e+07 7.0677971646165505e+07 7.0670272431979612e+07 7.0659725607786715e+07 7.0645958305707276e+07 7.0628340721650138e+07 7.0606211819449142e+07 7.0578863103717133e+07 7.0545437758351266e+07 7.0504908072498217e+07 7.0456073325607583e+07 7.0397529663958177e+07 7.0327624645356566e+07 7.0244426164448738e+07 7.0145637113355622e+07 7.0028108743928656e+07 6.9886431737896353e+07 6.9714625371108204e+07 6.9509680671071365e+07 6.9268346628859609e+07 6.8985455310107961e+07 6.8654673562398255e+07 6.8268807917825207e+07 6.7819832425887257e+07 6.7298890088731349e+07 6.6696332004534088e+07 6.6001814320763402e+07 6.5204477821893245e+07 6.4293219435492605e+07 6.3257099041360296e+07 6.2085889905339107e+07 6.0770804187222853e+07 5.9305372929751173e+07 5.7559766284669355e+07 5.5639018479100674e+07 5.3552623040771432e+07 5.1318870615977108e+07 4.8965473951183796e+07 4.6529199494071089e+07 4.4054242630974144e+07 4.1589294738910221e+07 3.9183609181116879e+07 3.6882417936064348e+07 3.4722892248944215e+07 3.2731976279443104e+07 3.0925444932112850e+07 2.9306598427863456e+07 2.7869560898167960e+07 2.6602602218239959e+07 2.5489999247657210e+07 2.4514997672593173e+07 2.3660988980379615e+07 2.2913469244457554e+07 2.2258927350355998e+07 2.1686619785567697e+07 2.1186490850643650e+07 2.0751232364584252e+07 2.0373576078902707e+07 2.0047446022393536e+07 1.9768124061966568e+07 1.9530646061518487e+07 1.9330228106678486e+07 1.9163367539899606e+07 1.9025725567267500e+07 1.8914125413068540e+07 1.8824924370385259e+07 1.8754976160122026e+07 1.8700022329735715e+07 1.8655920693370793e+07 1.8619569711115960e+07 1.8588032603834968e+07 1.8558436130756348e+07 1.8537545314589951e+07 1.8516468356241830e+07 1.8494969747301951e+07 1.8472454795110077e+07 1.8449229110030357e+07 1.8424626964277647e+07 1.8399463695968293e+07 1.8371512045819178e+07 1.8341597682195202e+07 1.8309170112729046e+07 1.8273799470068920e+07 1.8234963394803651e+07 1.8192073436662622e+07 1.8144286663027607e+07 1.8091694349395759e+07 1.8032317486571886e+07 1.7965745457294140e+07 1.7891012288268197e+07 1.7807078441425797e+07 1.7712871885785162e+07 1.7607317334017325e+07 1.7489227990285605e+07 1.7358759599375792e+07 1.7213635691444591e+07 1.7054352152996838e+07 1.6881277466424592e+07 1.6695769175907580e+07 1.6500137047525177e+07 1.6298777460926704e+07 1.6098234731940091e+07 1.5909219950075850e+07 1.5745209465278011e+07 1.5627301016544057e+07 1.5584888537189739e+07 1.5660684896189420e+07 1.5916851571718767e+07 1.6447586549227189e+07 1.7402009090995435e+07 1.9031378972664010e+07 2.9796951178175919e+06 +1.1954418139380200e+01 7.0568049039011061e+07 7.0560928733274654e+07 7.0548808261516020e+07 7.0532508554572850e+07 7.0515276066800073e+07 7.0502462328131005e+07 7.0496577123107538e+07 7.0493477222452864e+07 7.0488711550771400e+07 7.0481021851874962e+07 7.0470489776329443e+07 7.0456743042518780e+07 7.0439153051656798e+07 7.0417059967551902e+07 7.0389756537830710e+07 7.0356387481677487e+07 7.0315926925213590e+07 7.0267176273955911e+07 7.0208734158453554e+07 7.0138951081684083e+07 7.0055898399131298e+07 6.9957283158558697e+07 6.9839962448768690e+07 6.9698537002830356e+07 6.9527036559796900e+07 6.9322457444752082e+07 6.9081555282087103e+07 6.8799172296021640e+07 6.8468987717386812e+07 6.8083822378158733e+07 6.7635666648665354e+07 6.7115682042070568e+07 6.6514240495346010e+07 6.5821021396186106e+07 6.5025191131084755e+07 6.4115674422928952e+07 6.3081560724605106e+07 6.1912653945651792e+07 6.0600196825104058e+07 5.9137749323534429e+07 5.7395772976739720e+07 5.5479116636521026e+07 5.3397282459789738e+07 5.1168550874094814e+07 4.8820600771671228e+07 4.6390137813932136e+07 4.3921269150703602e+07 4.1462573846659102e+07 3.9063176442830369e+07 3.6768175432328068e+07 3.4614617011888951e+07 3.2629338497315116e+07 3.0828034076512322e+07 2.9213959194243670e+07 2.7781223283620439e+07 2.6518104261115424e+07 2.5408905489317894e+07 2.4436908313011527e+07 2.3585544606107023e+07 2.2840348103593819e+07 2.2187845237406246e+07 2.1617323127919912e+07 2.1118755944455106e+07 2.0684857298157323e+07 2.0308381245514505e+07 1.9983270609358393e+07 1.9704821830276441e+07 1.9468086377677590e+07 1.9268295377444867e+07 1.9101957105638739e+07 1.8964746499416668e+07 1.8853496610429294e+07 1.8764576130214408e+07 1.8694848495363742e+07 1.8640068516513750e+07 1.8596106972162791e+07 1.8559871864299014e+07 1.8528435540898010e+07 1.8498933834636964e+07 1.8478109970870789e+07 1.8457100580852564e+07 1.8435670900289666e+07 1.8413228138126343e+07 1.8390076922833428e+07 1.8365553676173877e+07 1.8340471043183319e+07 1.8312609015552405e+07 1.8282790567257296e+07 1.8250466970919058e+07 1.8215209737428479e+07 1.8176498182186242e+07 1.8133745741557460e+07 1.8086112201186858e+07 1.8033688466433130e+07 1.7974501981463704e+07 1.7908143399190105e+07 1.7833649843411904e+07 1.7749985109044429e+07 1.7656080602286313e+07 1.7550864483408362e+07 1.7433153776786853e+07 1.7303103653303955e+07 1.7158445046229031e+07 1.6999672207477920e+07 1.6827152438030653e+07 1.6642238929507146e+07 1.6447234042432064e+07 1.6246520060695166e+07 1.6046620331499610e+07 1.5858211533820307e+07 1.5694726905216947e+07 1.5577196499640629e+07 1.5534920020470090e+07 1.5610473363318099e+07 1.5865818709615614e+07 1.6394852032624478e+07 1.7346214506600566e+07 1.8970360219769109e+07 2.9686274468814568e+06 +1.1959386462154459e+01 7.0379039655190662e+07 7.0371937759030506e+07 7.0359849085284546e+07 7.0343591610822603e+07 7.0326402652377322e+07 7.0313618887715235e+07 7.0307743428148612e+07 7.0304644320515618e+07 7.0299882317767709e+07 7.0292202147648633e+07 7.0281684829834118e+07 7.0267958669046715e+07 7.0250396270521194e+07 7.0228338997030318e+07 7.0201080838734642e+07 7.0167768048777819e+07 7.0127376589061573e+07 7.0078709989913136e+07 7.0020369364531279e+07 6.9950708159071594e+07 6.9867801187608287e+07 6.9769359650465727e+07 6.9652246468608528e+07 6.9511072417866409e+07 6.9339877694882840e+07 6.9135663919520348e+07 6.8895193342160553e+07 6.8613318334743544e+07 6.8283730499699563e+07 6.7899264954029292e+07 6.7451928370753586e+07 6.6932900752310276e+07 6.6332574847411178e+07 6.5640653251033314e+07 6.4846327911795087e+07 6.3938551299894825e+07 6.2906442383349888e+07 6.1739835646864995e+07 6.0430004329523593e+07 5.8970537219556287e+07 5.7232186807687908e+07 5.5319616667795867e+07 5.3242337459339991e+07 5.1018619281101502e+07 4.8676107096151903e+07 4.6251445759703092e+07 4.3788654239881337e+07 4.1336199430646650e+07 3.8943077279443160e+07 3.6654253092882320e+07 3.4506648357888728e+07 3.2526993893731210e+07 3.0730903490716930e+07 2.9121588059815075e+07 2.7693142498934530e+07 2.6433852856087018e+07 2.5328049016167272e+07 2.4359047954787828e+07 2.3510321870917469e+07 2.2767442091165327e+07 2.2116972511027697e+07 2.1548230812494867e+07 2.1051220957879081e+07 2.0618678294840433e+07 2.0243379124506723e+07 1.9919285012097757e+07 1.9641706931922048e+07 1.9405711914582312e+07 1.9206546083370518e+07 1.9040728617188860e+07 1.8903948144604743e+07 1.8793047517281558e+07 1.8704406792811882e+07 1.8634899096419550e+07 1.8580292464446135e+07 1.8536470602745373e+07 1.8500351028817199e+07 1.8469015191986546e+07 1.8439607972115923e+07 1.8418850862366434e+07 1.8397908840357915e+07 1.8376547883783758e+07 1.8354177097605459e+07 1.8331100131250337e+07 1.8306655549642470e+07 1.8281653313076999e+07 1.8253880642206989e+07 1.8224157824822444e+07 1.8191937893309634e+07 1.8156793732694373e+07 1.8118206328213736e+07 1.8075590997337520e+07 1.8028110235782634e+07 1.7975854580234710e+07 1.7916857908617266e+07 1.7850712140426073e+07 1.7776457487378959e+07 1.7693061067519937e+07 1.7599457714012150e+07 1.7494579024514411e+07 1.7377245832180254e+07 1.7247612736087024e+07 1.7103418050175894e+07 1.6945154396787874e+07 1.6773187899033478e+07 1.6588867408889553e+07 1.6394487903225319e+07 1.6194417612020593e+07 1.5995158975946087e+07 1.5807354365779849e+07 1.5644394034117224e+07 1.5527240550722234e+07 1.5485099668402756e+07 1.5560410715673951e+07 1.5814937168098945e+07 1.6342273882318286e+07 1.7290585362025328e+07 1.8909522397439446e+07 2.9575993531872155e+06 +1.1964354784928718e+01 7.0190460576830700e+07 7.0183377163080767e+07 7.0171320340988517e+07 7.0155104967387468e+07 7.0137959443688869e+07 7.0125205596850172e+07 7.0119339881331727e+07 7.0116241587962136e+07 7.0111483274371803e+07 7.0103812646360517e+07 7.0093310095257640e+07 7.0079604511961669e+07 7.0062069704682291e+07 7.0040048234092265e+07 7.0012835332336500e+07 6.9979578785335392e+07 6.9939256389372483e+07 6.9890673798419207e+07 6.9832434606563836e+07 6.9762895201394469e+07 6.9680133852993190e+07 6.9581865911415994e+07 6.9464960124697864e+07 6.9324037303179696e+07 6.9153148095213830e+07 6.8949299412789226e+07 6.8709260124310777e+07 6.8427892739507571e+07 6.8098901219969958e+07 6.7715134953029066e+07 6.7268616896542802e+07 6.6750545519837342e+07 6.6151334356682159e+07 6.5460709176399335e+07 6.4667887449736342e+07 6.3761849345870778e+07 6.2731743290141910e+07 6.1567434274363987e+07 6.0260225958105050e+07 5.8803735867473550e+07 5.7069007018561460e+07 5.5160517805699848e+07 5.3087787264912277e+07 5.0869075056713983e+07 4.8531992140589789e+07 4.6113122546636000e+07 4.3656397116682678e+07 4.1210170715769969e+07 3.8823310926553346e+07 3.6540650167823948e+07 3.4398985554908775e+07 3.2424941756917287e+07 3.0634052484924417e+07 2.9029484357147813e+07 2.7605317898945153e+07 2.6349847379295815e+07 2.5247429224361606e+07 2.4281416012540609e+07 2.3435320206180457e+07 2.2694750653569642e+07 2.2046308631064784e+07 2.1479342311048351e+07 2.0983885373134222e+07 2.0552694846051358e+07 2.0178569215333838e+07 1.9855488737022985e+07 1.9578778879275523e+07 1.9343522189666528e+07 1.9144979746208731e+07 1.8979681599936686e+07 1.8843330031214759e+07 1.8732777664469168e+07 1.8644415890998784e+07 1.8575127497688815e+07 1.8520693709180661e+07 1.8477011121843625e+07 1.8441006742246136e+07 1.8409771095428392e+07 1.8380458082259949e+07 1.8359767528655089e+07 1.8338892674871333e+07 1.8317600238451228e+07 1.8295301214741036e+07 1.8272298277079079e+07 1.8247932127106458e+07 1.8223010048673812e+07 1.8195326469498616e+07 1.8165698999343585e+07 1.8133582425156053e+07 1.8098551002006218e+07 1.8060087380023170e+07 1.8017608752171792e+07 1.7970280316164315e+07 1.7918192241477076e+07 1.7859384820167854e+07 1.7793451234778628e+07 1.7719434775838520e+07 1.7636305874592967e+07 1.7543002781033032e+07 1.7438460520017568e+07 1.7321503722115848e+07 1.7192286416614436e+07 1.7048554275755502e+07 1.6890798297380853e+07 1.6719383430193432e+07 1.6535654199390564e+07 1.6341898220117657e+07 1.6142469710110722e+07 1.5943850265465606e+07 1.5756648050836992e+07 1.5594210460922400e+07 1.5477432781642245e+07 1.5435427093909338e+07 1.5510496564284012e+07 1.5764206551876253e+07 1.6289851689823683e+07 1.7235121225065053e+07 1.8848865033002004e+07 2.9466107023806716e+06 +1.1969323107702976e+01 7.0002311346371517e+07 6.9995246351707131e+07 6.9983221357591435e+07 6.9967047963746265e+07 6.9949945768286109e+07 6.9937221782422155e+07 6.9931365809698969e+07 6.9928268351864308e+07 6.9923513747529790e+07 6.9915852674813718e+07 6.9905364899176985e+07 6.9891679897790164e+07 6.9874172680441722e+07 6.9852187004857421e+07 6.9825019344426438e+07 6.9791819016708329e+07 6.9751565651254520e+07 6.9703067024077103e+07 6.9644929208752126e+07 6.9575511532139048e+07 6.9492895718148351e+07 6.9394801263402760e+07 6.9278102738258928e+07 6.9137430978826329e+07 6.8966847079435125e+07 6.8763363241463691e+07 6.8523754943734840e+07 6.8242894823235258e+07 6.7914499188667759e+07 6.7531431682736784e+07 6.7085731530129671e+07 6.6568615645071119e+07 6.5970518319177277e+07 6.5281188463347584e+07 6.4489869030374900e+07 6.3585567840202808e+07 6.2557462717712611e+07 6.1395449093547538e+07 6.0090860968698397e+07 5.8637344517168812e+07 5.6906232850745611e+07 5.5001819283542641e+07 5.2933631102445826e+07 5.0719917421225242e+07 4.8388255121798359e+07 4.5975167390958533e+07 4.3524497000096224e+07 4.1084486927769378e+07 3.8703876620734818e+07 3.6427365908392295e+07 3.4291627872058205e+07 3.2323181376387428e+07 3.0537480370392814e+07 2.8937647419979423e+07 2.7517748839609656e+07 2.6266087208027624e+07 2.5167045511203386e+07 2.4204011901979029e+07 2.3360539044312749e+07 2.2622273238303773e+07 2.1975853058408652e+07 2.1410657096366860e+07 2.0916748673522301e+07 2.0486906444261719e+07 2.0113951018430158e+07 1.9791881291519653e+07 1.9516037185671087e+07 1.9281516721387036e+07 1.9083595888707999e+07 1.8918815580183953e+07 1.8782891688565414e+07 1.8672686583754361e+07 1.8584602958520431e+07 1.8515533234520625e+07 1.8461271787329841e+07 1.8417728067077857e+07 1.8381838543094933e+07 1.8350702790519003e+07 1.8321483705106627e+07 1.8300859510269187e+07 1.8280051625451267e+07 1.8258827505868386e+07 1.8236600031676468e+07 1.8213670903027795e+07 1.8189382951878887e+07 1.8164540793939501e+07 1.8136946042073995e+07 1.8107413636231862e+07 1.8075400112635765e+07 1.8040481092424236e+07 1.8002140885618895e+07 1.7959798555151194e+07 1.7912621992642362e+07 1.7860701001724485e+07 1.7802082269160170e+07 1.7736360236977652e+07 1.7662581265332237e+07 1.7579719088892348e+07 1.7486715364326335e+07 1.7382508533500101e+07 1.7265927013101347e+07 1.7137124264615074e+07 1.6993853296304584e+07 1.6836603486538712e+07 1.6665738613075186e+07 1.6482598887178725e+07 1.6289464584117681e+07 1.6090675950971106e+07 1.5892693801035736e+07 1.5706092194640992e+07 1.5544175795351688e+07 1.5427772805094333e+07 1.5385901910690958e+07 1.5460730520978177e+07 1.5713626466426414e+07 1.6237585047440693e+07 1.7179821664382305e+07 1.8788387654727172e+07 2.9356613605299108e+06 +1.1974291430477235e+01 6.9814591123224109e+07 6.9807544807510003e+07 6.9795551397370383e+07 6.9779419935436338e+07 6.9762360952745616e+07 6.9749666771146372e+07 6.9743820540019348e+07 6.9740723938910916e+07 6.9735973063839510e+07 6.9728321559568077e+07 6.9717848568025291e+07 6.9704184152690843e+07 6.9686704523765609e+07 6.9664754635057494e+07 6.9637632200469345e+07 6.9604488068121195e+07 6.9564303699361652e+07 6.9515888991235092e+07 6.9457852494904593e+07 6.9388556474542648e+07 6.9306086105631158e+07 6.9208165028233513e+07 6.9091673630061299e+07 6.8951252764510229e+07 6.8780973965993181e+07 6.8577854722468093e+07 6.8338677115447357e+07 6.8058323898796380e+07 6.7730523716016740e+07 6.7348154450497702e+07 6.6903271575523525e+07 6.6387110428127222e+07 6.5790126030717693e+07 6.5102090402754389e+07 6.4312271939232185e+07 6.3409706062282756e+07 6.2383599938791424e+07 6.1223879369966604e+07 5.9921908619230606e+07 5.8471362418799497e+07 5.6743863545896709e+07 5.4843520334904790e+07 5.2779868198439926e+07 5.0571145595386818e+07 4.8244895257148832e+07 4.5837579509520538e+07 4.3392953110045485e+07 4.0959147293446034e+07 3.8584773599652641e+07 3.6314399566873446e+07 3.4184574579545736e+07 3.2221712042729333e+07 3.0441186459616888e+07 2.8846076583270811e+07 2.7430434678081751e+07 2.6182571720772304e+07 2.5086897275120635e+07 2.4126835039938226e+07 2.3285977818868678e+07 2.2550009293905370e+07 2.1905605255009368e+07 2.1342174642254215e+07 2.0849810343298912e+07 2.0421312582882229e+07 2.0049524035250913e+07 1.9728462183933526e+07 1.9453481365431800e+07 1.9219695029097069e+07 1.9022394034536682e+07 1.8858130085216053e+07 1.8722632646919493e+07 1.8612773807842799e+07 1.8524967530086365e+07 1.8456115843179155e+07 1.8402026236429468e+07 1.8358620977031525e+07 1.8322845970821332e+07 1.8291809817463547e+07 1.8262684381563038e+07 1.8242126348651003e+07 1.8221385234062426e+07 1.8200229228531823e+07 1.8178073091465570e+07 1.8155217552743845e+07 1.8131007568201449e+07 1.8106245093714703e+07 1.8078738905482400e+07 1.8049301281737719e+07 1.8017390502865501e+07 1.7982583551922459e+07 1.7944366393954195e+07 1.7902159956282686e+07 1.7855134816371758e+07 1.7803380413463041e+07 1.7744949809542339e+07 1.7679438702592231e+07 1.7605896513297491e+07 1.7523300269941770e+07 1.7430595025735389e+07 1.7326722629443392e+07 1.7210515272519853e+07 1.7082125850705322e+07 1.6939314686042640e+07 1.6782569542384449e+07 1.6612253030086558e+07 1.6429701059261452e+07 1.6237186587080615e+07 1.6039035931440793e+07 1.5841689184444424e+07 1.5655686403687626e+07 1.5494289647953700e+07 1.5378260234487761e+07 1.5336523733255593e+07 1.5411112198378405e+07 1.5663196518012250e+07 1.6185473548326375e+07 1.7124686249506075e+07 1.8728089791861940e+07 2.9247511941241464e+06 +1.1979259753251494e+01 6.9627299167619124e+07 6.9620271490954712e+07 6.9608309764028192e+07 6.9592220209323749e+07 6.9575204322375283e+07 6.9562539889725968e+07 6.9556703398895562e+07 6.9553607675668955e+07 6.9548860549692839e+07 6.9541218626807898e+07 6.9530760427824199e+07 6.9517116602562100e+07 6.9499664560361356e+07 6.9477750450071394e+07 6.9450673225686297e+07 6.9417585264461353e+07 6.9377469858356252e+07 6.9329139023967460e+07 6.9271203788554505e+07 6.9202029351754725e+07 6.9119704337813243e+07 6.9021956527483925e+07 6.8905672120799333e+07 6.8765501979778394e+07 6.8595528072969258e+07 6.8392773172324598e+07 6.8154025954064310e+07 6.7874179278641194e+07 6.7546974112034962e+07 6.7165302563497052e+07 6.6721236336573608e+07 6.6206029169054471e+07 6.5610156787065253e+07 6.4923414285570100e+07 6.4135095461598717e+07 6.3234263291488558e+07 6.2210154226214901e+07 6.1052724369397506e+07 5.9753368167841919e+07 5.8305788822694503e+07 5.6581898346036084e+07 5.4685620193750404e+07 5.2626497779870965e+07 5.0422758800707109e+07 4.8101911764836617e+07 4.5700358120023891e+07 4.3261764667239033e+07 4.0834151040484719e+07 3.8466001101983197e+07 3.6201750396676585e+07 3.4077824948749274e+07 3.2120533047685809e+07 3.0345170066262614e+07 2.8754771183122374e+07 2.7343374772640426e+07 2.6099300297082584e+07 2.5006983915693052e+07 2.4049884844342243e+07 2.3211635964461088e+07 2.2477958269996203e+07 2.1835564683853325e+07 2.1273894423582733e+07 2.0783069867761649e+07 2.0355912756419338e+07 1.9985287768218271e+07 1.9665230923649780e+07 1.9391110933832165e+07 1.9158056633168545e+07 1.8961373708331369e+07 1.8797624643279444e+07 1.8662552437499110e+07 1.8553038870420478e+07 1.8465509141320121e+07 1.8396874860854983e+07 1.8342956594942421e+07 1.8299689391196400e+07 1.8264028565768383e+07 1.8233091717399262e+07 1.8204059653509215e+07 1.8183567586192198e+07 1.8162893043602645e+07 1.8141804949867647e+07 1.8119719938100666e+07 1.8096937770759355e+07 1.8072805521257840e+07 1.8048122493794564e+07 1.8020704606201686e+07 1.7991361483105894e+07 1.7959553143838432e+07 1.7924857929380126e+07 1.7886763454856820e+07 1.7844692506464176e+07 1.7797818339432884e+07 1.7746230030075617e+07 1.7687986996171199e+07 1.7622686188132621e+07 1.7549380078085821e+07 1.7467048978134479e+07 1.7374641327984631e+07 1.7271102373160861e+07 1.7155268068620607e+07 1.7027290746359147e+07 1.6884938020007126e+07 1.6728696043928368e+07 1.6558926264514975e+07 1.6376960303489830e+07 1.6185063821686469e+07 1.5987549249151720e+07 1.5790836018299291e+07 1.5605430285201972e+07 1.5444551630024306e+07 1.5328894684067037e+07 1.5287292176858220e+07 1.5361641209880115e+07 1.5612916313709162e+07 1.6133516786454543e+07 1.7069714550868895e+07 1.8667970974590220e+07 2.9138800700725405e+06 +1.1984228076025753e+01 6.9440435242186293e+07 6.9433425899501950e+07 6.9421495805888712e+07 6.9405448102023736e+07 6.9388475201993614e+07 6.9375840464421704e+07 6.9370013712388650e+07 6.9366918888219684e+07 6.9362175531134576e+07 6.9354543202449188e+07 6.9344099804421470e+07 6.9330476572960779e+07 6.9313052115641400e+07 6.9291173775133833e+07 6.9264141744893864e+07 6.9231109930236131e+07 6.9191063452384651e+07 6.9142816446154594e+07 6.9084982413099542e+07 6.9015929486391827e+07 6.8933749736781448e+07 6.8836175082359657e+07 6.8720097530754238e+07 6.8580177943834856e+07 6.8410508718372434e+07 6.8208117907354817e+07 6.7969800774146453e+07 6.7690460275117800e+07 6.7363849686637297e+07 6.6982875328638054e+07 6.6539625116992310e+07 6.6025371167815059e+07 6.5430609883878805e+07 6.4745159402582921e+07 6.3958338883024007e+07 6.3059238807254478e+07 6.2037124852725022e+07 6.0881983357497953e+07 5.9585238872833543e+07 5.8140622979431748e+07 5.6420336493431211e+07 5.4528118094566941e+07 5.2473519074130200e+07 5.0274756259140678e+07 4.7959303863562278e+07 4.5563502440974176e+07 4.3130930893371120e+07 4.0709497397610351e+07 3.8347558367414191e+07 3.6089417652277939e+07 3.3971378252142422e+07 3.2019643684220985e+07 3.0249430505160782e+07 2.8663730556816630e+07 2.7256568482770246e+07 2.6016272317745458e+07 2.4927304833593853e+07 2.3973160734224018e+07 2.3137512916827146e+07 2.2406119617256958e+07 2.1765730809000850e+07 2.1205815916184448e+07 2.0716526733253557e+07 2.0290706460302010e+07 1.9921241720758419e+07 1.9602187020964038e+07 1.9328925407132301e+07 1.9096601054894932e+07 1.8900534435688481e+07 1.8737298783537440e+07 1.8602650592455450e+07 1.8493481306048203e+07 1.8406227328801777e+07 1.8337809825719543e+07 1.8284062402277198e+07 1.8240932850012824e+07 1.8205385869274680e+07 1.8174548032385521e+07 1.8145609063730910e+07 1.8125182766195208e+07 1.8104574597895451e+07 1.8083554214247275e+07 1.8061540116487470e+07 1.8038831102578159e+07 1.8014776357102115e+07 1.7990172540871568e+07 1.7962842691634741e+07 1.7933593788454384e+07 1.7901887584501889e+07 1.7867303774610393e+07 1.7829331619108930e+07 1.7787395757502869e+07 1.7740672114828937e+07 1.7689249405858543e+07 1.7631193384787675e+07 1.7566102250979770e+07 1.7493031518911298e+07 1.7410964774791200e+07 1.7318853834717665e+07 1.7215647330897637e+07 1.7100184970546037e+07 1.6972618523910832e+07 1.6830722874119978e+07 1.6674982571014993e+07 1.6505757900436565e+07 1.6324376208541920e+07 1.6133095881417902e+07 1.5936215502566490e+07 1.5740133905994594e+07 1.5555323447267298e+07 1.5394961353640983e+07 1.5279675768806845e+07 1.5238206857543290e+07 1.5312317169652391e+07 1.5562785461391278e+07 1.6081714356627356e+07 1.7014906139732573e+07 1.8608030734023087e+07 2.9030478557030652e+06 +1.1989196398800011e+01 6.9253998284001008e+07 6.9247007638289317e+07 6.9235108892839655e+07 6.9219102925738871e+07 6.9202172916333809e+07 6.9189567821629107e+07 6.9183750806515336e+07 6.9180656902549401e+07 6.9175917334005028e+07 6.9168294612243578e+07 6.9157866023256317e+07 6.9144263389290035e+07 6.9126866514700353e+07 6.9105023935179427e+07 6.9078037082796946e+07 6.9045061389891163e+07 6.9005083805464342e+07 6.8956920581290022e+07 6.8899187691629723e+07 6.8830256201064348e+07 6.8748221624298185e+07 6.8650820013980836e+07 6.8534949180098236e+07 6.8395279975704297e+07 6.8225915219889209e+07 6.8023888243746474e+07 6.7786000889927298e+07 6.7507166200452209e+07 6.7181149749486655e+07 6.6800872052812159e+07 6.6358437220284730e+07 6.5845135724149644e+07 6.5251484616696715e+07 6.4567325044526257e+07 6.3782001488797858e+07 6.2884631888984494e+07 6.1864511091339253e+07 6.0711655600226693e+07 5.9417519992713407e+07 5.7975864139842249e+07 5.6259177230752535e+07 5.4371013272144221e+07 5.2320931309164211e+07 5.0127137193307914e+07 4.7817070772919059e+07 4.5427011691604368e+07 4.3000451010949858e+07 4.0585185594491281e+07 3.8229444636697583e+07 3.5977400589273736e+07 3.3865233763414040e+07 3.1919043246399131e+07 3.0153967092314202e+07 2.8572954042818472e+07 2.7170015169110414e+07 2.5933487164637242e+07 2.4847859430653024e+07 2.3896662129770439e+07 2.3063608112747241e+07 2.2334492787460588e+07 2.1696103095552482e+07 2.1137938597009163e+07 2.0650180427099116e+07 2.0225693190989684e+07 1.9857385397300184e+07 1.9539329987193935e+07 1.9266924302576631e+07 1.9035327816559985e+07 1.8839875743174024e+07 1.8677152036112830e+07 1.8542926644898802e+07 1.8434100650283433e+07 1.8347121630035132e+07 1.8278920276839152e+07 1.8225343198754329e+07 1.8182350894854359e+07 1.8146917423532937e+07 1.8116178305434622e+07 1.8087332155933395e+07 1.8066971432880029e+07 1.8046429441694759e+07 1.8025476566924661e+07 1.8003533172459390e+07 1.7980897094596453e+07 1.7956919622776758e+07 1.7932394782596324e+07 1.7905152710071344e+07 1.7875997746849544e+07 1.7844393374689497e+07 1.7809920638320778e+07 1.7772070438344669e+07 1.7730269262140326e+07 1.7683695696468942e+07 1.7632438095983937e+07 1.7574568532033481e+07 1.7509686449409273e+07 1.7436850395905767e+07 1.7355047222091831e+07 1.7263232110416777e+07 1.7160357069727264e+07 1.7045265548293058e+07 1.6918108756581243e+07 1.6776668825161183e+07 1.6621428704313969e+07 1.6452747522833256e+07 1.6271948363915434e+07 1.6081282360611221e+07 1.5885034290955557e+07 1.5689582451722883e+07 1.5505365498707440e+07 1.5345518431703016e+07 1.5230603104503190e+07 1.5189267392131766e+07 1.5263139692661479e+07 1.5512803569718501e+07 1.6030065854433144e+07 1.6960260588257369e+07 1.8548268602271140e+07 2.8922544187613176e+06 +1.1994164721574270e+01 6.9067988211155370e+07 6.9061015928133294e+07 6.9049148330551773e+07 6.9033183996710315e+07 6.9016296790777832e+07 6.9003721287275940e+07 6.8997914006864041e+07 6.8994821044273764e+07 6.8990085283835486e+07 6.8982472181503609e+07 6.8972058409672678e+07 6.8958476376639232e+07 6.8941107082488433e+07 6.8919300254823059e+07 6.8892358563847020e+07 6.8859438967430905e+07 6.8819530241302177e+07 6.8771450752733797e+07 6.8713818946929768e+07 6.8645008817924723e+07 6.8563119322054759e+07 6.8465890643131897e+07 6.8350226388650656e+07 6.8210807394261524e+07 6.8041746894984290e+07 6.7840083497385085e+07 6.7602625615619585e+07 6.7324296366601676e+07 6.6998873610102281e+07 6.6619292042700596e+07 6.6177671949951947e+07 6.5665322137870960e+07 6.5072780280952163e+07 6.4389910502076559e+07 6.3606082564298153e+07 6.2710441816119120e+07 6.1692312214932553e+07 6.0541740363614365e+07 5.9250210786116518e+07 5.7811511554966614e+07 5.6098419800870739e+07 5.4214304961710393e+07 5.2168733713492885e+07 4.9979900826401994e+07 4.7675211712987900e+07 4.5290885092047594e+07 4.2870324243421212e+07 4.0461214861679949e+07 3.8111659151605226e+07 3.5865698464368194e+07 3.3759390757284209e+07 3.1818731029504266e+07 3.0058779144895475e+07 2.8482440980698422e+07 2.7083714193446230e+07 2.5850944220813107e+07 2.4768647109816790e+07 2.3820388452222109e+07 2.2989920990108039e+07 2.2263077233411804e+07 2.1626681009646300e+07 2.1070261943996713e+07 2.0584030437649846e+07 2.0160872445957441e+07 1.9793718303249065e+07 1.9476659334643167e+07 1.9205107138345268e+07 1.8974236441410344e+07 1.8779397158276215e+07 1.8617183932102825e+07 1.8483380128873460e+07 1.8374896439607102e+07 1.8288191583462980e+07 1.8220205754230082e+07 1.8166798525672432e+07 1.8123943068002444e+07 1.8088622771727085e+07 1.8057982080448836e+07 1.8029228474776126e+07 1.8008933131398559e+07 1.7988457120648965e+07 1.7967571554106887e+07 1.7945698652761061e+07 1.7923135294133697e+07 1.7899234866184317e+07 1.7874788767477795e+07 1.7847634210753426e+07 1.7818572908215087e+07 1.7787070065165326e+07 1.7752708072136488e+07 1.7714979465180140e+07 1.7673312573985111e+07 1.7626888639144383e+07 1.7575795656539321e+07 1.7518111995476376e+07 1.7453438342623286e+07 1.7380836270091925e+07 1.7299295883100983e+07 1.7207775720477235e+07 1.7105231157645732e+07 1.6990509372728348e+07 1.6863761018437617e+07 1.6722775450765811e+07 1.6568034025390804e+07 1.6399894717475772e+07 1.6219676359964535e+07 1.6029622854392963e+07 1.5834005214406218e+07 1.5639181260505080e+07 1.5455556049185388e+07 1.5296222477879496e+07 1.5181676307708608e+07 1.5140473398227779e+07 1.5214108394658316e+07 1.5462970248145489e+07 1.5978570876321981e+07 1.6905777469439313e+07 1.8488684112371620e+07 2.8814996274093878e+06 +1.1999133044348529e+01 6.8882403568088546e+07 6.8875449856551066e+07 6.8863613388041556e+07 6.8847690638571769e+07 6.8830846151798695e+07 6.8818300187249765e+07 6.8812502638852552e+07 6.8809410638909400e+07 6.8804678705931649e+07 6.8797075235553011e+07 6.8786676288699880e+07 6.8773114859881043e+07 6.8755773143655226e+07 6.8734002058539376e+07 6.8707105512079939e+07 6.8674241986699030e+07 6.8634402083370462e+07 6.8586406283547491e+07 6.8528875501565292e+07 6.8460186659035206e+07 6.8378442151347533e+07 6.8281386290389672e+07 6.8165928476120666e+07 6.8026759518012747e+07 6.7858003060987487e+07 6.7656702984055787e+07 6.7419674265056685e+07 6.7141850085407376e+07 6.6817020577854209e+07 6.6438134604848459e+07 6.5997328609268673e+07 6.5485929708507374e+07 6.4894496172072746e+07 6.4212915065943159e+07 6.3430581394921586e+07 6.2536667868206479e+07 6.1520527496675722e+07 6.0372236913738206e+07 5.9083310511863016e+07 5.7647564476234682e+07 5.5938063447100319e+07 5.4057992398902379e+07 5.2016925516003065e+07 4.9833046382309943e+07 4.7533725904787220e+07 4.5155121863129303e+07 4.2740549815074250e+07 4.0337584430840671e+07 3.7994201155006342e+07 3.5754310535325520e+07 3.3653848509691916e+07 3.1718706329918474e+07 2.9963865981274661e+07 2.8392190711343460e+07 2.6997664918731470e+07 2.5768642870485228e+07 2.4689667275182538e+07 2.3744339123968352e+07 2.2916450987915654e+07 2.2191872409049720e+07 2.1557464018494975e+07 2.1002785436144710e+07 2.0518076254283160e+07 2.0096243723683082e+07 1.9730239944992505e+07 1.9414174576569706e+07 1.9143473433609188e+07 1.8913326453632679e+07 1.8719098209476724e+07 1.8557394003528066e+07 1.8424010579370961e+07 1.8315868211430755e+07 1.8229436728479389e+07 1.8161665798821352e+07 1.8108427925177369e+07 1.8065708912680209e+07 1.8030501457952086e+07 1.7999958902286667e+07 1.7971297565803185e+07 1.7951067407839913e+07 1.7930657181375086e+07 1.7909838722922262e+07 1.7888036105060540e+07 1.7865545249415357e+07 1.7841721636171207e+07 1.7817354044993572e+07 1.7790286743812013e+07 1.7761318823464382e+07 1.7729917207587417e+07 1.7695665628596120e+07 1.7658058253074024e+07 1.7616525247588396e+07 1.7570250498547323e+07 1.7519321644543551e+07 1.7461823333549980e+07 1.7397357490678258e+07 1.7324988703366838e+07 1.7243710321795922e+07 1.7152484231170829e+07 1.7050269163504437e+07 1.6935916015615061e+07 1.6809574884421583e+07 1.6669042329429679e+07 1.6514798116639690e+07 1.6347199071000624e+07 1.6167559787860435e+07 1.5978116958741874e+07 1.5783127873809101e+07 1.5588929938140823e+07 1.5405894709122004e+07 1.5247073106614314e+07 1.5132894995766928e+07 1.5091824494213108e+07 1.5165222892143814e+07 1.5413285106913418e+07 1.5927229019536063e+07 1.6851456357186563e+07 1.8429276798289612e+07 2.8707833502246970e+06 +1.2004101367122788e+01 6.8697244223748982e+07 6.8690308831503257e+07 6.8678503404026076e+07 6.8662622179017067e+07 6.8645820326390699e+07 6.8633303847227216e+07 6.8627516027675211e+07 6.8624425011551380e+07 6.8619696925430849e+07 6.8612103099284247e+07 6.8601718985025287e+07 6.8588178163591564e+07 6.8570864022634774e+07 6.8549128670472518e+07 6.8522277251495749e+07 6.8489469771390408e+07 6.8449698655001447e+07 6.8401786496499687e+07 6.8344356677970797e+07 6.8275789046235606e+07 6.8194189433346018e+07 6.8097306276107222e+07 6.7982054762041211e+07 6.7843135665384457e+07 6.7674683034969449e+07 6.7473746019271806e+07 6.7237146151977852e+07 6.6959826668428332e+07 6.6635589961918190e+07 6.6257399045661442e+07 6.5817406501426734e+07 6.5306957735611804e+07 6.4716631585421778e+07 6.4036338026754290e+07 6.3255497265882760e+07 6.2363309324625760e+07 6.1349156209660232e+07 6.0203144516975135e+07 5.8916818429088391e+07 5.7484022155141704e+07 5.5778107413134426e+07 5.3902074819842935e+07 5.1865505946221583e+07 4.9686573085421704e+07 4.7392612569826320e+07 4.5019721226548433e+07 4.2611126951121382e+07 4.0214293534510501e+07 3.7877069890762702e+07 3.5643236061025575e+07 3.3548606297702424e+07 3.1618968445286885e+07 2.9869226920957781e+07 2.8302202576668531e+07 2.6911866709095236e+07 2.5686582498967320e+07 2.4610919331952363e+07 2.3668513568481896e+07 2.2843197546214193e+07 2.2120877769288924e+07 2.1488451590323523e+07 2.0935508553445313e+07 2.0452317367385194e+07 2.0031806523618199e+07 1.9666949829937305e+07 1.9351875227228381e+07 1.9082022708526872e+07 1.8852597378384829e+07 1.8658978426174026e+07 1.8497781783375505e+07 1.8364817532334786e+07 1.8257015504126821e+07 1.8170856605383832e+07 1.8103299952529725e+07 1.8050230940436926e+07 1.8007647973062243e+07 1.7972553027204473e+07 1.7942108316715136e+07 1.7913538975526426e+07 1.7893373809194848e+07 1.7873029171367195e+07 1.7852277621397655e+07 1.7830545077948663e+07 1.7808126509607553e+07 1.7784379482495937e+07 1.7760090165517204e+07 1.7733109860324629e+07 1.7704235044350594e+07 1.7672934354542885e+07 1.7638792861132775e+07 1.7601306356425088e+07 1.7559906838383667e+07 1.7513780831315663e+07 1.7463015617865428e+07 1.7405702105609722e+07 1.7341443454565298e+07 1.7269307258543126e+07 1.7188290103005290e+07 1.7097357209654167e+07 1.6995470657029785e+07 1.6881485049567081e+07 1.6755549930343159e+07 1.6615469040498670e+07 1.6461720561290439e+07 1.6294660170883788e+07 1.6115598239622010e+07 1.5926764270436149e+07 1.5732401870873483e+07 1.5538828091235351e+07 1.5356381089749625e+07 1.5198069933139626e+07 1.5084258786792004e+07 1.5043320299237411e+07 1.5116482802430144e+07 1.5363747757077258e+07 1.5876039882164545e+07 1.6797296826229665e+07 1.8370046194952812e+07 2.8601054561988404e+06 +1.2009069689897046e+01 6.8512508945522949e+07 6.8505592105943471e+07 6.8493817775113225e+07 6.8477977944825426e+07 6.8461218641866967e+07 6.8448731592678204e+07 6.8442953498255804e+07 6.8439863487139776e+07 6.8435139267050147e+07 6.8427555097355828e+07 6.8417185823302254e+07 6.8403665612147763e+07 6.8386379043509781e+07 6.8364679414576471e+07 6.8337873105773628e+07 6.8305121644839436e+07 6.8265419279178128e+07 6.8217590714330688e+07 6.8160261798259094e+07 6.8091815301049173e+07 6.8010360488918036e+07 6.7913649920494303e+07 6.7798604565582499e+07 6.7659935154553816e+07 6.7491786133817330e+07 6.7291211918418810e+07 6.7055040589995541e+07 6.6778225427172437e+07 6.6454581071432427e+07 6.6077084671398260e+07 6.5637904929444335e+07 6.5128405518542536e+07 6.4539185816227503e+07 6.3860178675010160e+07 6.3080829462680757e+07 6.2190365465066135e+07 6.1178197627109163e+07 6.0034462439694047e+07 5.8750733796961732e+07 5.7320883843578428e+07 5.5618550942843825e+07 5.3746551461012684e+07 5.1714474234128259e+07 4.9540480160770260e+07 4.7251870930494413e+07 4.4884682404762626e+07 4.2482054877677768e+07 4.0091341406302057e+07 3.7760264603811741e+07 3.5532474301476233e+07 3.3443663399497405e+07 3.1519516674303949e+07 2.9774861284654260e+07 2.8212475919814102e+07 2.6826318929839272e+07 2.5604762492777061e+07 2.4532402686467666e+07 2.3592911210349005e+07 2.2770160106174387e+07 2.2050092770178333e+07 2.1419643194452520e+07 2.0868430776946414e+07 2.0386753268367711e+07 1.9967560346253436e+07 1.9603847466436505e+07 1.9289760801838040e+07 1.9020754484169301e+07 1.8792048741806082e+07 1.8599037338746589e+07 1.8438346805546872e+07 1.8305800524649367e+07 1.8198337856988635e+07 1.8112450755461402e+07 1.8045107758133847e+07 1.7992207115510881e+07 1.7949759794215377e+07 1.7914777025444876e+07 1.7884429870421045e+07 1.7855952251355663e+07 1.7835851883383017e+07 1.7815572639092401e+07 1.7794887798493959e+07 1.7773225120950423e+07 1.7750878624803465e+07 1.7727207955839705e+07 1.7702996680323076e+07 1.7676103112239424e+07 1.7647321123603582e+07 1.7616121059526555e+07 1.7582089324109998e+07 1.7544723330536425e+07 1.7503456902727000e+07 1.7457479194941606e+07 1.7406877135320552e+07 1.7349747871894665e+07 1.7285695796137914e+07 1.7213791499297194e+07 1.7133034792500921e+07 1.7042394223945916e+07 1.6940835208840031e+07 1.6827216048063084e+07 1.6701685732863227e+07 1.6562055164195640e+07 1.6408800943440365e+07 1.6242277605434746e+07 1.6063791308065085e+07 1.5875564387091603e+07 1.5681826808122126e+07 1.5488875327210357e+07 1.5307014803075317e+07 1.5149212573477574e+07 1.5035767299667299e+07 1.4994960433220752e+07 1.5067887743601197e+07 1.5314357810458949e+07 1.5825003063070495e+07 1.6743298452179881e+07 1.8310991838245682e+07 2.8494658147364506e+06 +1.2014038012671305e+01 6.8328197636604130e+07 6.8321299126406059e+07 6.8309555844204202e+07 6.8293757261137903e+07 6.8277040425179377e+07 6.8264582748719826e+07 6.8258814375331372e+07 6.8255725390463486e+07 6.8251005055448249e+07 6.8243430554225832e+07 6.8233076127866134e+07 6.8219576529716909e+07 6.8202317530333713e+07 6.8180653614599809e+07 6.8153892398368716e+07 6.8121196930170149e+07 6.8081563278705537e+07 6.8033818259354204e+07 6.7976590184362680e+07 6.7908264744910717e+07 6.7826954638824627e+07 6.7730416543432951e+07 6.7615577205808923e+07 6.7477157303539068e+07 6.7309311674256146e+07 6.7109099996675164e+07 6.6873356892456152e+07 6.6597045672993407e+07 6.6273993215284474e+07 6.5897190788236797e+07 6.5458823196379609e+07 6.4950272356726743e+07 6.4362158159660488e+07 6.3684436301374041e+07 6.2906577270621084e+07 6.2017835569077417e+07 6.1007651022383593e+07 5.9866189948482886e+07 5.8585055875021584e+07 5.7158148793773815e+07 5.5459393280566938e+07 5.3591421559387431e+07 5.1563829610220730e+07 4.9394766834064804e+07 4.7111500209799193e+07 4.4750004621108554e+07 4.2353332821750179e+07 3.9968727280688465e+07 3.7643784540097535e+07 3.5422024517770074e+07 3.3339019094413854e+07 3.1420350316913672e+07 2.9680768394253366e+07 2.8123010085147247e+07 2.6741020947416265e+07 2.5523182239541054e+07 2.4454116746210914e+07 2.3517531475283962e+07 2.2697338110051312e+07 2.1979516868818961e+07 2.1351038301215593e+07 2.0801551588733803e+07 2.0321383449635062e+07 1.9903504693053793e+07 1.9540932363862276e+07 1.9227830816604573e+07 1.8959668282643501e+07 1.8731680070960671e+07 1.8539274478531938e+07 1.8379088604932077e+07 1.8246959094123974e+07 1.8139834810226928e+07 1.8054218720872726e+07 1.7987088759397261e+07 1.7934355995369840e+07 1.7892043922154255e+07 1.7857172999518692e+07 1.7826923111051545e+07 1.7798536941627335e+07 1.7778501179259285e+07 1.7758287133872174e+07 1.7737668804096073e+07 1.7716075784479741e+07 1.7693801145976182e+07 1.7670206607796922e+07 1.7646073141627938e+07 1.7619266052449968e+07 1.7590576614820100e+07 1.7559476876933645e+07 1.7525554572796579e+07 1.7488308731636729e+07 1.7447174997854661e+07 1.7401345147861026e+07 1.7350905756589856e+07 1.7293960193540432e+07 1.7230114078176178e+07 1.7158440990206122e+07 1.7077943956874594e+07 1.6987594842975266e+07 1.6886362390399791e+07 1.6773108585466873e+07 1.6647981869519934e+07 1.6508800281571906e+07 1.6356038848042706e+07 1.6190050963811127e+07 1.6012138586860621e+07 1.5824516907136623e+07 1.5631402288880887e+07 1.5439071254265934e+07 1.5257795461922120e+07 1.5100500644430973e+07 1.4987420154077835e+07 1.4946744516886735e+07 1.5019437334517192e+07 1.5265114879690368e+07 1.5774118161987880e+07 1.6689460811541162e+07 1.8252113265002411e+07 2.8388642956540436e+06 +1.2019006335445564e+01 6.8144309335472465e+07 6.8137429257120967e+07 6.8125716886887550e+07 6.8109959453902826e+07 6.8093285002025932e+07 6.8080856640377805e+07 6.8075097983417809e+07 6.8072010045880020e+07 6.8067293615013853e+07 6.8059728794197991e+07 6.8049389222748011e+07 6.8035910240261301e+07 6.8018678806737527e+07 6.7997050593999371e+07 6.7970334452506363e+07 6.7937694950438067e+07 6.7898129976169840e+07 6.7850468453849077e+07 6.7793341157964528e+07 6.7725136698893219e+07 6.7643971203574866e+07 6.7547605464741260e+07 6.7432972001552492e+07 6.7294801430102676e+07 6.7127258972778648e+07 6.6927409568993598e+07 6.6692094372642711e+07 6.6416286717049174e+07 6.6093825702209786e+07 6.5717716702247538e+07 6.5280160605057783e+07 6.4772557549370162e+07 6.4185547910999499e+07 6.3509110196340062e+07 6.2732739975094862e+07 6.1845718916385502e+07 6.0837515668915190e+07 5.9698326310080066e+07 5.8419783922915168e+07 5.6995816258052550e+07 5.5300633671025701e+07 5.3436684352308407e+07 5.1413571305608504e+07 4.9249432331542671e+07 4.6971499631489933e+07 4.4615687099685699e+07 4.2224960011223197e+07 3.9846450393212400e+07 3.7527628946690015e+07 3.5311885972101592e+07 3.3234672662961036e+07 3.1321468674211886e+07 2.9586947572818160e+07 2.8033804418147933e+07 2.6655972129414171e+07 2.5441841128052391e+07 2.4376060919747539e+07 2.3442373790093031e+07 2.2624731001150664e+07 2.1909149523374315e+07 2.1282636382012650e+07 2.0734870471891847e+07 2.0256207404636353e+07 1.9839639066483486e+07 1.9478204032567050e+07 1.9166084788721319e+07 1.8898763626977623e+07 1.8671490893910594e+07 1.8479689377786528e+07 1.8320006717352096e+07 1.8188292779524837e+07 1.8081505905051269e+07 1.7996160044771869e+07 1.7929242501002822e+07 1.7876677125947811e+07 1.7834499903803404e+07 1.7799740497244217e+07 1.7769587587138060e+07 1.7741292595605571e+07 1.7721321246593431e+07 1.7701172206012823e+07 1.7680620189004116e+07 1.7659096619882472e+07 1.7636893625048138e+07 1.7613374990874477e+07 1.7589319102557860e+07 1.7562598234753005e+07 1.7534001072531268e+07 1.7503001362086795e+07 1.7469188163351599e+07 1.7432062116797391e+07 1.7391060681955673e+07 1.7345378249371678e+07 1.7295101042264722e+07 1.7238338632583093e+07 1.7174697864310857e+07 1.7103255296745252e+07 1.7023017163641103e+07 1.6932958636531569e+07 1.6832051774096549e+07 1.6719162237009890e+07 1.6594437918698603e+07 1.6455703974551376e+07 1.6303433860878782e+07 1.6137979835997570e+07 1.5960639670527477e+07 1.5773621429813389e+07 1.5581127917300493e+07 1.5389415481423121e+07 1.5208722679902114e+07 1.5051933763579335e+07 1.4939216970470054e+07 1.4898672171704529e+07 1.4971131194810089e+07 1.5216018578180635e+07 1.5723384779420385e+07 1.6635783481637549e+07 1.8193410012985952e+07 2.8283007691788748e+06 +1.2023974658219823e+01 6.7960843356128931e+07 6.7953981675859347e+07 6.7942300216994464e+07 6.7926583850790709e+07 6.7909951696921796e+07 6.7897552592223302e+07 6.7891803646865577e+07 6.7888716777785316e+07 6.7884004269954905e+07 6.7876449141312093e+07 6.7866124431849346e+07 6.7852666067403972e+07 6.7835462196307153e+07 6.7813869676168159e+07 6.7787198591264799e+07 6.7754615028282106e+07 6.7715118693991035e+07 6.7667540619703934e+07 6.7610514040587679e+07 6.7542430484062120e+07 6.7461409503510788e+07 6.7365216003898010e+07 6.7250788271545887e+07 6.7112866851846471e+07 6.6945627345837988e+07 6.6746139950320721e+07 6.6511252343607448e+07 6.6235947870364644e+07 6.5914077840933651e+07 6.5538661719224110e+07 6.5101916458298169e+07 6.4595260395660095e+07 6.4009354365323432e+07 6.3334199650432102e+07 6.2559316861551255e+07 6.1674014786673725e+07 6.0667790840250172e+07 5.9530870791444801e+07 5.8254917200496405e+07 5.6833885489117175e+07 5.5142271359247200e+07 5.3282339077636987e+07 5.1263698551846690e+07 4.9104475880151100e+07 4.6831868420089208e+07 4.4481729065377243e+07 4.2096935674954712e+07 3.9724509980389647e+07 3.7411797071661532e+07 3.5202057927757680e+07 3.3130623386739925e+07 3.1222871048411530e+07 2.9493398144565508e+07 2.7944858265476219e+07 2.6571171844648097e+07 2.5360738548253860e+07 2.4298234616846468e+07 2.3367437582689703e+07 2.2552338223901302e+07 2.1838990193071403e+07 2.1214436909261174e+07 2.0668386910554081e+07 2.0191224627781935e+07 1.9775962970038500e+07 1.9415661983901702e+07 1.9104522236329630e+07 1.8838040041186433e+07 1.8611480739642911e+07 1.8420281569754500e+07 1.8261100679554004e+07 1.8129801120566364e+07 1.8023350683557369e+07 1.7938274271189135e+07 1.7871568528525729e+07 1.7819170054088499e+07 1.7777127287056178e+07 1.7742479067323711e+07 1.7712422848155770e+07 1.7684218763460707e+07 1.7664311636058677e+07 1.7644227406694170e+07 1.7623741504954662e+07 1.7602287179434009e+07 1.7580155614832688e+07 1.7556712658493761e+07 1.7532734117124464e+07 1.7506099213863421e+07 1.7477594052165397e+07 1.7446694071193054e+07 1.7412989652864508e+07 1.7375983044082567e+07 1.7335113514059398e+07 1.7289578059711669e+07 1.7239462553862926e+07 1.7182882751961857e+07 1.7119446719097342e+07 1.7048233985274706e+07 1.6968253981201299e+07 1.6878485175295901e+07 1.6777902933139235e+07 1.6665376578788832e+07 1.6541053459670631e+07 1.6402765825898817e+07 1.6250985568586353e+07 1.6086063812839730e+07 1.5909294154381771e+07 1.5722877555202875e+07 1.5531003298321025e+07 1.5339907618485902e+07 1.5159796071380233e+07 1.5003511549297061e+07 1.4891157370070459e+07 1.4850743019921191e+07 1.4922968944894677e+07 1.5167068520135488e+07 1.5672802516730040e+07 1.6582266040694708e+07 1.8134881620906699e+07 2.8177751059478084e+06 +1.2028942980994081e+01 6.7777799247930378e+07 6.7770955567582220e+07 6.7759305203424662e+07 6.7743629778625473e+07 6.7727039832916692e+07 6.7714669928707376e+07 6.7708930689888313e+07 6.7705844910210639e+07 6.7701136344169512e+07 6.7693590919348776e+07 6.7683281078836650e+07 6.7669843334757343e+07 6.7652667022388518e+07 6.7631110184087858e+07 6.7604484137398720e+07 6.7571956486278743e+07 6.7532528754419237e+07 6.7485034078815952e+07 6.7428108153590664e+07 6.7360145421115458e+07 6.7279268858714148e+07 6.7183247480405629e+07 6.7069025334303729e+07 6.6931352886335477e+07 6.6764416109514341e+07 6.6565290455336556e+07 6.6330830118324243e+07 6.6056028443852521e+07 6.5734748939980157e+07 6.5360025145132400e+07 6.4924090058782883e+07 6.4418380194774173e+07 6.3833576817730643e+07 6.3159703954246119e+07 6.2386307215331048e+07 6.1502722459816620e+07 6.0498475810043000e+07 5.9363822659578338e+07 5.8090454967923194e+07 5.6672355739992343e+07 5.4984305590595827e+07 5.3128384973654382e+07 5.1114210581058770e+07 4.8959896707427911e+07 4.6692605800719783e+07 4.4348129743984088e+07 4.1969259042599909e+07 3.9602905279711157e+07 3.7296288164145738e+07 3.5092539649185032e+07 3.3026870548569489e+07 3.1124556742970701e+07 2.9400119434905946e+07 2.7856170974976368e+07 2.6486619463050563e+07 2.5279873891242523e+07 2.4220637248351935e+07 2.3292722282097671e+07 2.2480159223813184e+07 2.1769038338212140e+07 2.1146439356484924e+07 2.0602100389898472e+07 2.0126434614560802e+07 1.9712475908176057e+07 1.9353305730192222e+07 1.9043142678558696e+07 1.8777497050259847e+07 1.8551649138105985e+07 1.8361050588606276e+07 1.8202370029258888e+07 1.8071483657887034e+07 1.7965368688794419e+07 1.7880560945127692e+07 1.7814066388539951e+07 1.7761834327555627e+07 1.7719925620688505e+07 1.7685388259404499e+07 1.7655428444489758e+07 1.7627314996300504e+07 1.7607471899271559e+07 1.7587452288040277e+07 1.7567032304549359e+07 1.7545647016309407e+07 1.7523586669112254e+07 1.7500219165002417e+07 1.7476317740290578e+07 1.7449768545410313e+07 1.7421355110080451e+07 1.7390554561398156e+07 1.7356958599324986e+07 1.7320071072398759e+07 1.7279333054139882e+07 1.7233944139990617e+07 1.7183989853748742e+07 1.7127592115499761e+07 1.7064360207973320e+07 1.6993376623033460e+07 1.6913653978826579e+07 1.6824174030809760e+07 1.6723915441635100e+07 1.6611751187759958e+07 1.6487828072562072e+07 1.6349985419262687e+07 1.6198693558636392e+07 1.6034302485993151e+07 1.5858101634569213e+07 1.5672284884179944e+07 1.5481028037703700e+07 1.5290547276078027e+07 1.5111015251546448e+07 1.4955233620729640e+07 1.4843240974871544e+07 1.4802956684568446e+07 1.4874950205965329e+07 1.5118264320571652e+07 1.5622370976084245e+07 1.6528908067768581e+07 1.8076527628429413e+07 2.8072871770061613e+06 +1.2033911303768340e+01 6.7595176278451070e+07 6.7588350517440349e+07 6.7576731215601966e+07 6.7561096560421497e+07 6.7544548732050300e+07 6.7532207973997802e+07 6.7526478436424479e+07 6.7523393767091095e+07 6.7518689161475077e+07 6.7511153451997682e+07 6.7500858487277135e+07 6.7487441365585819e+07 6.7470292608066931e+07 6.7448771440804452e+07 6.7422190413699433e+07 6.7389718646741569e+07 6.7350359479345471e+07 6.7302948152717844e+07 6.7246122818096861e+07 6.7178280830741048e+07 6.7097548589183986e+07 6.7001699213377990e+07 6.6887682508140102e+07 6.6750258850751698e+07 6.6583624579939932e+07 6.6384860398496650e+07 6.6150827009572618e+07 6.5876527748305283e+07 6.5555838307841748e+07 6.5181806285665102e+07 6.4746680709186189e+07 6.4241916245825566e+07 6.3658214563297547e+07 6.2985622398282774e+07 6.2213710322036192e+07 6.1331841215677172e+07 6.0329569852162436e+07 5.9197181181786001e+07 5.7926396485562392e+07 5.6511226263998836e+07 5.4826735610926986e+07 5.2974821279077552e+07 5.0965106625951134e+07 4.8815694041582674e+07 4.6553710999423347e+07 4.4214888362035543e+07 4.1841929344834469e+07 3.9481635529646389e+07 3.7181101474333860e+07 3.4983330401906550e+07 3.2923413432303544e+07 3.1026525062449995e+07 2.9307110770453680e+07 2.7767741895699292e+07 2.6402314355734088e+07 2.5199246549219303e+07 2.4143268226236284e+07 2.3218227318442449e+07 2.2408193447462346e+07 2.1699293420156281e+07 2.1078643198177624e+07 2.0536010396109443e+07 2.0061836861434948e+07 1.9649177386351563e+07 1.9291134784735881e+07 1.8981945635538623e+07 1.8717134180108350e+07 1.8491995620227516e+07 1.8301995969478916e+07 1.8143814305134941e+07 1.8013339933075100e+07 1.7907559464740131e+07 1.7823019612510886e+07 1.7756735628487717e+07 1.7704669495058198e+07 1.7662894454406660e+07 1.7628467624049511e+07 1.7598603927470230e+07 1.7570580846166719e+07 1.7550801588760182e+07 1.7530846403090216e+07 1.7510492141365726e+07 1.7489175684607267e+07 1.7467186342490859e+07 1.7443894065648071e+07 1.7420069527905777e+07 1.7393605785907254e+07 1.7365283803524051e+07 1.7334582390734699e+07 1.7301094561612766e+07 1.7264325761577882e+07 1.7223718863075331e+07 1.7178476052243903e+07 1.7128682505219024e+07 1.7072466287920922e+07 1.7009437897268552e+07 1.6938682778165102e+07 1.6859216726666160e+07 1.6770024775520818e+07 1.6670088874594333e+07 1.6558285641777808e+07 1.6434761338324055e+07 1.6297362339108897e+07 1.6146557419367846e+07 1.5982695447970737e+07 1.5807061708085172e+07 1.5621843018465819e+07 1.5431201742012734e+07 1.5241334065590175e+07 1.5062379836382248e+07 1.4907099597798504e+07 1.4795467407649115e+07 1.4755312789449695e+07 1.4827074600003853e+07 1.5069605595263897e+07 1.5572089760419047e+07 1.6475709142814936e+07 1.8018347576164927e+07 2.7968368538065818e+06 +1.2038879626542599e+01 6.7412973804950014e+07 6.7406166262516111e+07 6.7394577511599019e+07 6.7378983515603915e+07 6.7362477715994522e+07 6.7350166052007616e+07 6.7344446210350662e+07 6.7341362672113940e+07 6.7336662045408711e+07 6.7329136062672973e+07 6.7318855980443493e+07 6.7305459483025566e+07 6.7288338276267365e+07 6.7266852768937230e+07 6.7240316742526323e+07 6.7207900831917942e+07 6.7168610190660253e+07 6.7121282162859783e+07 6.7064557355098329e+07 6.6996836033234857e+07 6.6916248014725648e+07 6.6820570521891594e+07 6.6706759111173138e+07 6.6569584062324643e+07 6.6403252072991997e+07 6.6204849094342910e+07 6.5971242330021568e+07 6.5697445094407454e+07 6.5377345252775997e+07 6.5004004446487688e+07 6.4569687712042801e+07 6.4065867847834095e+07 6.3483266897081375e+07 6.2811954273146629e+07 6.2041525467163354e+07 6.1161370334243186e+07 6.0161072240436755e+07 5.9030945625460640e+07 5.7762741013938226e+07 5.6350496314667009e+07 5.4669560666279465e+07 5.2821647233106151e+07 5.0816385919715703e+07 4.8671867111441903e+07 4.6415183242817961e+07 4.4082004146968260e+07 4.1714945813247338e+07 3.9360699969696231e+07 3.7066236253479853e+07 3.4874429452554107e+07 3.2820251323090661e+07 3.0928775312665079e+07 2.9214371478943080e+07 2.7679570377832707e+07 2.6318255894985262e+07 2.5118855915607613e+07 2.4066126963622727e+07 2.3143952122953925e+07 2.2336440342531420e+07 2.1629754901325189e+07 2.1011047909926567e+07 2.0470116416400708e+07 1.9997430865893133e+07 1.9586066911066268e+07 1.9229148661844254e+07 1.8920930628332164e+07 1.8656950957649563e+07 1.8432519717884213e+07 1.8243117248442352e+07 1.8085433046755876e+07 1.7955369488656711e+07 1.7849922556310978e+07 1.7765649820195444e+07 1.7699575796787627e+07 1.7647675106229618e+07 1.7606033338843536e+07 1.7571716712754380e+07 1.7541948849309489e+07 1.7514015865979120e+07 1.7494300257972915e+07 1.7474409305792693e+07 1.7454120569874663e+07 1.7432872739337891e+07 1.7410954190588985e+07 1.7387736916608617e+07 1.7363989036758568e+07 1.7337610492807962e+07 1.7309379690677729e+07 1.7278777118145663e+07 1.7245397099533882e+07 1.7208746672354963e+07 1.7168270502609864e+07 1.7123173359366953e+07 1.7073540072455525e+07 1.7017504834837615e+07 1.6954679354200587e+07 1.6884152019673850e+07 1.6804941795772079e+07 1.6716036982727289e+07 1.6616422807842307e+07 1.6504979519520700e+07 1.6381852838828361e+07 1.6244896170790806e+07 1.6094576739951115e+07 1.5931242292107387e+07 1.5756173972740652e+07 1.5571551560577013e+07 1.5381524018631039e+07 1.5192267599235404e+07 1.5013889442638392e+07 1.4859109101228602e+07 1.4747836291955400e+07 1.4707810959134247e+07 1.4779341749746516e+07 1.5021091960785305e+07 1.5521958473565249e+07 1.6422668846625423e+07 1.7960341005638588e+07 2.7864240082079126e+06 +1.2043847949316858e+01 6.7231191194580838e+07 6.7224401451683253e+07 6.7212843312436819e+07 6.7197289964138687e+07 6.7180826106747672e+07 6.7168543486311749e+07 6.7162833335377932e+07 6.7159750948747143e+07 6.7155054319399327e+07 6.7147538074683905e+07 6.7137272881373852e+07 6.7123897010063678e+07 6.7106803349769451e+07 6.7085353491030641e+07 6.7058862446155943e+07 6.7026502363748640e+07 6.6987280210013084e+07 6.6940035430536598e+07 6.6883411085396826e+07 6.6815810348980814e+07 6.6735366454934448e+07 6.6639860724837087e+07 6.6526254461519465e+07 6.6389327837938540e+07 6.6223297904411331e+07 6.6025255857107215e+07 6.5792075392344594e+07 6.5518779792655975e+07 6.5199269083057381e+07 6.4826618933176562e+07 6.4393110369835258e+07 6.3890234299823709e+07 6.3308733114082694e+07 6.2638698869351976e+07 6.1869751936277375e+07 6.0991309095567912e+07 5.9992982249035895e+07 5.8865115258145273e+07 5.7599487814072013e+07 5.6190165145940453e+07 5.4512780003282689e+07 5.2668862075450040e+07 5.0668047696164533e+07 4.8528415146478169e+07 4.6277021758326843e+07 4.3949476327001743e+07 4.1588307680269472e+07 3.9240097840343423e+07 3.6951691753951147e+07 3.4765836068890393e+07 3.2717383507116441e+07 3.0831306800481815e+07 2.9121900889324218e+07 2.7591655772748850e+07 2.6234443454222322e+07 2.5038701384909187e+07 2.3989212874747910e+07 2.3069896127988733e+07 2.2264899357775278e+07 2.1560422245218690e+07 2.0943652968363244e+07 2.0404417939025793e+07 1.9933216126427617e+07 1.9523143989768066e+07 1.9167346876797166e+07 1.8860097179019827e+07 1.8596946910760745e+07 1.8373220963911399e+07 1.8184413962528840e+07 1.8027225794689421e+07 1.7897571868086237e+07 1.7792457509378470e+07 1.7708451115954313e+07 1.7642586442733157e+07 1.7590850711622942e+07 1.7549341825587735e+07 1.7515135077919513e+07 1.7485462763191734e+07 1.7457619609608930e+07 1.7437967461264342e+07 1.7418140551031437e+07 1.7397917145454794e+07 1.7376737736441687e+07 1.7354889769857999e+07 1.7331747274948921e+07 1.7308075824513812e+07 1.7281782224484611e+07 1.7253642330599718e+07 1.7223138303501040e+07 1.7189865773787271e+07 1.7153333366373193e+07 1.7112987535435949e+07 1.7068035625192862e+07 1.7018562120545931e+07 1.6962707322765149e+07 1.6900084146875285e+07 1.6829783917478524e+07 1.6750828758068468e+07 1.6662210226637134e+07 1.6562916818124864e+07 1.6451832400565779e+07 1.6329102156755123e+07 1.6192586500481812e+07 1.6042751110412454e+07 1.5879942612600952e+07 1.5705438027177561e+07 1.5521410113858320e+07 1.5331994475736076e+07 1.5143347490020605e+07 1.4965543687858526e+07 1.4811261752499547e+07 1.4700347252129044e+07 1.4660450818970226e+07 1.4731751278718252e+07 1.4972723034494309e+07 1.5471976720105508e+07 1.6369786760865932e+07 1.7902507459361155e+07 2.7760485124740470e+06 +1.2048816272091116e+01 6.7049827205287062e+07 6.7043055539424747e+07 6.7031527957242027e+07 6.7016015229096629e+07 6.6999593226861306e+07 6.6987339600328818e+07 6.6981639134958468e+07 6.6978557920468293e+07 6.6973865306645289e+07 6.6966358811040722e+07 6.6956108513102934e+07 6.6942753269429982e+07 6.6925687151145816e+07 6.6904272929460205e+07 6.6877826846764043e+07 6.6845522564025275e+07 6.6806368858902439e+07 6.6759207276756540e+07 6.6702683329518847e+07 6.6635203097986817e+07 6.6554903229284786e+07 6.6459569140946679e+07 6.6346167876977518e+07 6.6209489494591936e+07 6.6043761389827624e+07 6.5846080000960141e+07 6.5613325508841760e+07 6.5340531153636768e+07 6.5021609106827661e+07 6.4649649051201023e+07 6.4216947985095754e+07 6.3715014900746793e+07 6.3134612509409979e+07 6.2465855477484144e+07 6.1698389014989510e+07 6.0821656779851876e+07 5.9825299152053788e+07 5.8699689347828016e+07 5.7436636146871433e+07 5.6030232012048475e+07 5.4356392868882850e+07 5.2516465046192206e+07 5.0520091189608470e+07 4.8385337376846775e+07 4.6139225774119079e+07 4.3817304131217077e+07 4.1462014179260880e+07 3.9119828383042909e+07 3.6837467229088321e+07 3.4657549519764915e+07 3.2614809271759607e+07 3.0734118834040590e+07 2.9029698331758097e+07 2.7503997433009952e+07 2.6150876408066712e+07 2.4958782352820337e+07 2.3912525374984238e+07 2.2996058767003376e+07 2.2193569943049259e+07 2.1491294916383576e+07 2.0876457851154402e+07 2.0338914453251787e+07 1.9869192142530855e+07 1.9460408130919646e+07 1.9105728945851177e+07 1.8799444810595240e+07 1.8537121568295099e+07 1.8314098892069157e+07 1.8125885649731938e+07 1.7969192090398803e+07 1.7839946615770951e+07 1.7735163870696269e+07 1.7651423048509981e+07 1.7585767116590321e+07 1.7534195862698454e+07 1.7492819467106435e+07 1.7458722272897732e+07 1.7429145223174885e+07 1.7401391631854761e+07 1.7381802753920142e+07 1.7362039694573317e+07 1.7341881424415588e+07 1.7320770232755009e+07 1.7298992637739196e+07 1.7275924698669434e+07 1.7252329449773960e+07 1.7226120540169191e+07 1.7198071283262793e+07 1.7167665507537954e+07 1.7134500146002494e+07 1.7098085406168602e+07 1.7057869525107928e+07 1.7013062414441075e+07 1.6963748215465136e+07 1.6908073319094408e+07 1.6845651844304476e+07 1.6775578042360308e+07 1.6696877186350018e+07 1.6608544082292350e+07 1.6509570483024957e+07 1.6398843865320325e+07 1.6276508875665601e+07 1.6140432915228928e+07 1.5991080121605411e+07 1.5828796004453808e+07 1.5654853470842777e+07 1.5471418282463659e+07 1.5282612722320715e+07 1.5094573351746455e+07 1.4917342190371757e+07 1.4763557173882991e+07 1.4652999913250189e+07 1.4613231995071536e+07 1.4684302811214812e+07 1.4924498434555929e+07 1.5422144105457995e+07 1.6317062468057446e+07 1.7844846480761942e+07 2.7657102392728208e+06 +1.2053784594865375e+01 6.6868881553545848e+07 6.6862127997580454e+07 6.6850630833630942e+07 6.6835158636013083e+07 6.6818778399825387e+07 6.6806553717287511e+07 6.6800862932495847e+07 6.6797782910357408e+07 6.6793094330248937e+07 6.6785597594733581e+07 6.6775362198415481e+07 6.6762027583724573e+07 6.6744989002821587e+07 6.6723610406462356e+07 6.6697209266218938e+07 6.6664960754467361e+07 6.6625875458594210e+07 6.6578797022548899e+07 6.6522373408077091e+07 6.6455013600192562e+07 6.6374857657048285e+07 6.6279695088798925e+07 6.6166498675331756e+07 6.6030068348892644e+07 6.5864641844739139e+07 6.5667320839885987e+07 6.5434991991957158e+07 6.5162698487547554e+07 6.4844364632212132e+07 6.4473094106018648e+07 6.4041199860159509e+07 6.3540208949577682e+07 6.2960904378049456e+07 6.2293423388291478e+07 6.1527435989051394e+07 6.0652412667350434e+07 5.9658022223897271e+07 5.8534667162387393e+07 5.7274185273753621e+07 5.5870696167477980e+07 5.4200398510368213e+07 5.2364455385991819e+07 5.0372515634953707e+07 4.8242633033294342e+07 4.6001794519130155e+07 4.3685486789501861e+07 4.1336064544627175e+07 3.8999890840289518e+07 3.6723561933358617e+07 3.4549569075152420e+07 3.2512527905527130e+07 3.0637210722607605e+07 2.8937763137520730e+07 2.7416594712305807e+07 2.6067554132289931e+07 2.4879098216141533e+07 2.3836063880825557e+07 2.2922439474530838e+07 2.2122451549260847e+07 2.1422372380430005e+07 2.0809462037003979e+07 2.0273605449364856e+07 1.9805358414759304e+07 1.9397858843981821e+07 1.9044294386280704e+07 1.8738973047091387e+07 1.8477474460011415e+07 1.8255153037117526e+07 1.8067531848954763e+07 1.7911331476327706e+07 1.7782493277054008e+07 1.7678041188006397e+07 1.7594565167510863e+07 1.7529117369544454e+07 1.7477710111882988e+07 1.7436465816828433e+07 1.7402477851914421e+07 1.7372995784252729e+07 1.7345331488392927e+07 1.7325805692149553e+07 1.7306106293135457e+07 1.7286012963976130e+07 1.7264969786025848e+07 1.7243262352500550e+07 1.7220268746668402e+07 1.7196749472029936e+07 1.7170625000074681e+07 1.7142666109579649e+07 1.7112358291942768e+07 1.7079299778671533e+07 1.7043002355183646e+07 1.7002916036098585e+07 1.6958253292717051e+07 1.6909097924083669e+07 1.6853602392124459e+07 1.6791382016364977e+07 1.6721533965997992e+07 1.6643086654321937e+07 1.6555038125652652e+07 1.6456383381008429e+07 1.6346013495106263e+07 1.6224072579982629e+07 1.6088435002929242e+07 1.5939563365228336e+07 1.5777802063503524e+07 1.5604419904055180e+07 1.5421575671375979e+07 1.5233378368173933e+07 1.5045944799015103e+07 1.4869284569321247e+07 1.4715994988426886e+07 1.4605793901187349e+07 1.4566154114316957e+07 1.4636995972315177e+07 1.4876417779899795e+07 1.5372460235879287e+07 1.6264495551574498e+07 1.7787357614217978e+07 2.7554090616748687e+06 +1.2058752917639634e+01 6.6688353622002386e+07 6.6681617885773607e+07 6.6670151314364381e+07 6.6654719510433160e+07 6.6638380949602254e+07 6.6626185160187162e+07 6.6620504051287048e+07 6.6617425241511077e+07 6.6612740713030480e+07 6.6605253748500526e+07 6.6595033259865709e+07 6.6581719275455795e+07 6.6564708227021314e+07 6.6543365244008236e+07 6.6517009026379578e+07 6.6484816256539829e+07 6.6445799330329157e+07 6.6398803988557637e+07 6.6342480641310409e+07 6.6275241175494961e+07 6.6195229057494104e+07 6.6100237886829585e+07 6.5987246174106732e+07 6.5851063717426442e+07 6.5685938584520049e+07 6.5488977687836096e+07 6.5257074153841600e+07 6.4985281104736343e+07 6.4667534967159159e+07 6.4296953402971521e+07 6.3865865297444567e+07 6.3365815745277509e+07 6.2787608015093505e+07 6.2121401892328233e+07 6.1356892144270241e+07 6.0483576038453788e+07 5.9491150739164218e+07 5.8370047970101312e+07 5.7112134456365138e+07 5.5711556867163904e+07 5.4044796175471619e+07 5.2212832335908197e+07 5.0225320267687134e+07 4.8100301347291231e+07 4.5864727222979262e+07 4.3554023532618158e+07 4.1210458011533663e+07 3.8880284455547534e+07 3.6609975122270264e+07 3.4441894006215855e+07 3.2410538698144279e+07 3.0540581776646953e+07 2.8846094639108084e+07 2.7329446965585232e+07 2.5984476003801275e+07 2.4799648372860938e+07 2.3759827809875429e+07 2.2849037686237507e+07 2.2051543628433820e+07 2.1353654104041643e+07 2.0742665005647697e+07 2.0208490418730792e+07 1.9741714444590535e+07 1.9335495639406215e+07 1.8983042716291737e+07 1.8678681413462769e+07 1.8418005116704378e+07 1.8196382934732940e+07 1.8009352100076612e+07 1.7853643495835867e+07 1.7725211398190781e+07 1.7621089009950954e+07 1.7537877023534570e+07 1.7472636753685478e+07 1.7421393012501430e+07 1.7380280429073952e+07 1.7346401370170265e+07 1.7317014002345342e+07 1.7289438735836800e+07 1.7269975833061267e+07 1.7250339904321689e+07 1.7230311322258379e+07 1.7209335954951502e+07 1.7187698473396417e+07 1.7164778978757571e+07 1.7141335451709058e+07 1.7115295165246014e+07 1.7087426371327445e+07 1.7057216219270285e+07 1.7024264235209703e+07 1.6988083777763311e+07 1.6948126633786026e+07 1.6903607826536082e+07 1.6854610814164482e+07 1.6799294111044638e+07 1.6737274233823536e+07 1.6667651260960517e+07 1.6589456736529849e+07 1.6501691933525942e+07 1.6403355091422684e+07 1.6293340872089982e+07 1.6171792854983203e+07 1.6036592352324925e+07 1.5888200433849402e+07 1.5726960386461483e+07 1.5554136927920898e+07 1.5371881886374395e+07 1.5184291023904778e+07 1.4997461447211424e+07 1.4821370444594845e+07 1.4668574819949837e+07 1.4558728842600001e+07 1.4519216804377584e+07 1.4589830387855466e+07 1.4828480690257553e+07 1.5322924718395937e+07 1.6212085595674576e+07 1.7730040405028202e+07 2.7451448531525047e+06 +1.2063721240413892e+01 6.6508242670894086e+07 6.6501524812164403e+07 6.6490088719072826e+07 6.6474697176786304e+07 6.6458400200726181e+07 6.6446233251911320e+07 6.6440561814345382e+07 6.6437484236748353e+07 6.6432803777826063e+07 6.6425326594962880e+07 6.6415121019937687e+07 6.6401827666852728e+07 6.6384844145884618e+07 6.6363536764063254e+07 6.6337225448823802e+07 6.6305088391591787e+07 6.6266139795064121e+07 6.6219227495528877e+07 6.6163004349421628e+07 6.6095885143462457e+07 6.6016016749625839e+07 6.5921196853450656e+07 6.5808409690839134e+07 6.5672474916706197e+07 6.5507650924383812e+07 6.5311049858691834e+07 6.5079571306651406e+07 6.4808278315385573e+07 6.4491119419571862e+07 6.4121226247411624e+07 6.3690943599258296e+07 6.3191834586762257e+07 6.2614722715553485e+07 6.1949790280352168e+07 6.1186756766463995e+07 6.0315146173673019e+07 5.9324683972353667e+07 5.8205831039350338e+07 5.6950482956531957e+07 5.5552813366272502e+07 5.3889585112344116e+07 5.2061595137551650e+07 5.0078504323846988e+07 4.7958341550966494e+07 4.5728023116112188e+07 4.3422913592179544e+07 4.1085193816224203e+07 3.8761008473313734e+07 3.6496706052415639e+07 3.4334523585114762e+07 3.2308840940396830e+07 3.0444231307765003e+07 2.8754692170199331e+07 2.7242553548899684e+07 2.5901641400717780e+07 2.4720432222089987e+07 2.3683816580892626e+07 2.2775852838885497e+07 2.1980845633644339e+07 2.1285139554981820e+07 2.0676066237920117e+07 2.0143568853673384e+07 1.9678259734579470e+07 1.9273318028646082e+07 1.8921973455127288e+07 1.8618569435663223e+07 1.8358713070078429e+07 1.8137788121584706e+07 1.7951345943941344e+07 1.7796127693227883e+07 1.7668100526413973e+07 1.7564306886113208e+07 1.7481358168063667e+07 1.7416324822052933e+07 1.7365244118791971e+07 1.7324262859074079e+07 1.7290492383749932e+07 1.7261199434288535e+07 1.7233712931744818e+07 1.7214312734673955e+07 1.7194740086678252e+07 1.7174776058319788e+07 1.7153868299075093e+07 1.7132300560539655e+07 1.7109454955669284e+07 1.7086086950126097e+07 1.7060130597685579e+07 1.7032351631222624e+07 1.7002238853004817e+07 1.6969393079928130e+07 1.6933329239145029e+07 1.6893500884417452e+07 1.6849125583309770e+07 1.6800286454377729e+07 1.6745148045918772e+07 1.6683328068353528e+07 1.6613929500677936e+07 1.6535987008436156e+07 1.6448505083603207e+07 1.6350485194479030e+07 1.6240825579272632e+07 1.6119669286802279e+07 1.5984904553006684e+07 1.5836990920854408e+07 1.5676270570824029e+07 1.5504004144371275e+07 1.5322336534081377e+07 1.5135350300920567e+07 1.4949122912527021e+07 1.4773599436898906e+07 1.4621296293057555e+07 1.4511804364887023e+07 1.4472419693669822e+07 1.4542805684468918e+07 1.4780686786140209e+07 1.5273537160866084e+07 1.6159832185459604e+07 1.7672894399477627e+07 2.7349174875786030e+06 +1.2068689563188151e+01 6.6328548188448295e+07 6.6321848278898276e+07 6.6310442256076753e+07 6.6295090959142059e+07 6.6278835477508180e+07 6.6266697315043785e+07 6.6261035544556350e+07 6.6257959218889765e+07 6.6253282847121678e+07 6.6245815456530102e+07 6.6235624800936200e+07 6.6222352080070317e+07 6.6205396081361741e+07 6.6184124288320191e+07 6.6157857855161145e+07 6.6125776480914935e+07 6.6086896173736520e+07 6.6040066863989942e+07 6.5983943852496400e+07 6.5916944823635794e+07 6.5837220052331805e+07 6.5742571306750447e+07 6.5629988542878129e+07 6.5494301263108902e+07 6.5329778179581493e+07 6.5133536666160330e+07 6.4902482762455314e+07 6.4631689429577045e+07 6.4315117297366001e+07 6.3945911944617495e+07 6.3516434067970045e+07 6.3018264772931680e+07 6.2442247774582312e+07 6.1778587843101621e+07 6.1017029141600832e+07 6.0147122353616633e+07 5.9158621198434398e+07 5.8042015638829589e+07 5.6789230036445297e+07 5.5394464920316562e+07 5.3734764569545865e+07 5.1910743032997027e+07 4.9932067040050797e+07 4.7816752877084918e+07 4.5591681429696061e+07 4.3292156200612560e+07 4.0960271195729069e+07 3.8642062139088199e+07 3.6383753981472395e+07 3.4227457085219748e+07 3.2207433924297359e+07 3.0348158628760103e+07 2.8663555065588679e+07 2.7155913819508307e+07 2.5819049702292398e+07 2.4641449164081309e+07 2.3608029613766626e+07 2.2702884370324578e+07 2.1910357019068066e+07 2.1216828202014837e+07 2.0609665215636183e+07 2.0078840247552384e+07 1.9614993788279325e+07 1.9211325524141334e+07 1.8861086122954730e+07 1.8558636640612420e+07 1.8299597852821536e+07 1.8079368135258187e+07 1.7893512922282666e+07 1.7738783613765869e+07 1.7611160209853534e+07 1.7507694366998833e+07 1.7425008153539274e+07 1.7360181128594510e+07 1.7309262985925969e+07 1.7268412663032953e+07 1.7234750449661165e+07 1.7205551637832902e+07 1.7178153634547137e+07 1.7158815955951151e+07 1.7139306399652325e+07 1.7119406732113428e+07 1.7098566378920522e+07 1.7077068175003674e+07 1.7054296239028975e+07 1.7031003529522516e+07 1.7005130860296719e+07 1.6977441452854950e+07 1.6947425757518094e+07 1.6914685878082614e+07 1.6878738305481177e+07 1.6839038355175678e+07 1.6794806131330043e+07 1.6746124414264787e+07 1.6691163767713919e+07 1.6629543092507372e+07 1.6560368259496314e+07 1.6482677046349663e+07 1.6395477154451184e+07 1.6297773271241479e+07 1.6188467200554673e+07 1.6067701462426726e+07 1.5933371195419544e+07 1.5785934420466436e+07 1.5625732214951234e+07 1.5454021156181347e+07 1.5272939221894341e+07 1.5086555811417727e+07 1.4900928811940555e+07 1.4725971167693060e+07 1.4574159033140175e+07 1.4465020096244987e+07 1.4425762411392435e+07 1.4495921489532780e+07 1.4733035688842043e+07 1.5224297171960229e+07 1.6107734906893056e+07 1.7615919144713849e+07 2.7247268392254757e+06 +1.2073657885962410e+01 6.6149269236304536e+07 6.6142587132136889e+07 6.6131211200720906e+07 6.6115900180528730e+07 6.6099686103872314e+07 6.6087576672332786e+07 6.6081924564880103e+07 6.6078849510454625e+07 6.6074177243490629e+07 6.6066719655575372e+07 6.6056543925108060e+07 6.6043291837161444e+07 6.6026363355291151e+07 6.6005127138454147e+07 6.5978905566676490e+07 6.5946879845449813e+07 6.5908067787065215e+07 6.5861321414221533e+07 6.5805298470447764e+07 6.5738419535426684e+07 6.5658838284406163e+07 6.5564360564837515e+07 6.5451982047436714e+07 6.5316542072843358e+07 6.5152319665114671e+07 6.4956437423836768e+07 6.4725807833280541e+07 6.4455513757400803e+07 6.4139527908326522e+07 6.3771009799803168e+07 6.3342336005763248e+07 6.2845105602778941e+07 6.2270182487175278e+07 6.1607793871427439e+07 6.0847708555690229e+07 5.9979503859107465e+07 5.8992961692388028e+07 5.7878601037405297e+07 5.6628374958518945e+07 5.5236510785248563e+07 5.3580333795996882e+07 5.1760275264805384e+07 4.9786007653531387e+07 4.7675534559047982e+07 4.5455701395678237e+07 4.3161750591215543e+07 4.0835689388165146e+07 3.8523444699382052e+07 3.6271118168147817e+07 3.4120693780993491e+07 3.2106316942974735e+07 3.0252363053621177e+07 2.8572682661346398e+07 2.7069527135849081e+07 2.5736700288946986e+07 2.4562698600261822e+07 2.3532466329456050e+07 2.2630131719555154e+07 2.1840077239988860e+07 2.1148719515036315e+07 2.0543461421673637e+07 2.0014304094779365e+07 1.9551916110215493e+07 1.9149517639335766e+07 1.8800380240983479e+07 1.8498882556186032e+07 1.8240658998566728e+07 1.8021122514306955e+07 1.7835852577833541e+07 1.7681610803625599e+07 1.7554389997583777e+07 1.7451251004065186e+07 1.7368826533331532e+07 1.7304205228183452e+07 1.7253449170008365e+07 1.7212729398031663e+07 1.7179175125827119e+07 1.7150070171645466e+07 1.7122760403627034e+07 1.7103485056728665e+07 1.7084038403597258e+07 1.7064202904508565e+07 1.7043429755879190e+07 1.7022000878734052e+07 1.6999302391365495e+07 1.6976084753015622e+07 1.6950295516860873e+07 1.6922695400739864e+07 1.6892776498082992e+07 1.6860142195759464e+07 1.6824310543823175e+07 1.6784738614116982e+07 1.6740649039798202e+07 1.6692124264269562e+07 1.6637340848294595e+07 1.6575918879710108e+07 1.6506967112617161e+07 1.6429526427482858e+07 1.6342607725508181e+07 1.6245218903683873e+07 1.6136265320686627e+07 1.6015888969693365e+07 1.5881991870853273e+07 1.5735030527772896e+07 1.5575344918013891e+07 1.5404187566928079e+07 1.5223689558049353e+07 1.5037907168423383e+07 1.4852878763241248e+07 1.4678485259252260e+07 1.4527162666355245e+07 1.4418375665625833e+07 1.4379244587510621e+07 1.4449177431213882e+07 1.4685527020451438e+07 1.5175204361164620e+07 1.6055793346766971e+07 1.7559114188906595e+07 2.7145727827637582e+06 +1.2078626208736669e+01 6.5970405043479621e+07 6.5963740685282677e+07 6.5952394960209750e+07 6.5937124162838347e+07 6.5920951403086901e+07 6.5908870646378338e+07 6.5903228197823457e+07 6.5900154433869191e+07 6.5895486289188191e+07 6.5888038514214166e+07 6.5877877714370467e+07 6.5864646260000527e+07 6.5847745289357379e+07 6.5826544635848500e+07 6.5800367904616445e+07 6.5768397806269407e+07 6.5729653955677241e+07 6.5682990466523215e+07 6.5627067523034595e+07 6.5560308598134771e+07 6.5480870764558949e+07 6.5386563945668280e+07 6.5274389521682642e+07 6.5139196662085675e+07 6.4975274695942029e+07 6.4779751445270091e+07 6.4549545830970809e+07 6.4279750608851947e+07 6.3964350560269773e+07 6.3596519118250608e+07 6.3168648715015009e+07 6.2672356375141293e+07 6.2098526148637004e+07 6.1437407656211972e+07 6.0678794294906862e+07 5.9812289970930785e+07 5.8827704729425244e+07 5.7715586504152067e+07 5.6467916985541895e+07 5.5078950217203036e+07 5.3426292041102588e+07 5.1610191076068975e+07 4.9640325402047932e+07 4.7534685831050575e+07 4.5320082246734537e+07 4.3031695998126477e+07 4.0711447632472493e+07 3.8405155401708782e+07 3.6158797872245833e+07 3.4014232948016100e+07 3.2005489290754497e+07 3.0156843897465613e+07 2.8482074294673622e+07 2.6983392857531160e+07 2.5654592542275470e+07 2.4484179933184415e+07 2.3457126150110584e+07 2.2557594326637421e+07 2.1770005752718102e+07 2.1080812964942202e+07 2.0477454339959327e+07 1.9949959890792534e+07 1.9489026205972783e+07 1.9087893888645697e+07 1.8739855331355825e+07 1.8439306711249709e+07 1.8181896041934535e+07 1.7963050798228513e+07 1.7778364454229545e+07 1.7624608809954695e+07 1.7497789439637151e+07 1.7394976349673271e+07 1.7312812861702826e+07 1.7248396676640082e+07 1.7197802228060674e+07 1.7157212622074891e+07 1.7123765971102513e+07 1.7094754595286340e+07 1.7067532799239177e+07 1.7048319597804211e+07 1.7028935659783654e+07 1.7009164137288224e+07 1.6988457992263455e+07 1.6967098234587766e+07 1.6944472976150092e+07 1.6921330184662268e+07 1.6895624132098407e+07 1.6868113040304080e+07 1.6838290640910018e+07 1.6805761600000117e+07 1.6770045522087721e+07 1.6730601230190895e+07 1.6686653878809711e+07 1.6638285575724687e+07 1.6583678860393399e+07 1.6522455004274562e+07 1.6453725636118121e+07 1.6376534729907287e+07 1.6289896377091886e+07 1.6192821674586151e+07 1.6084219525267569e+07 1.5964231397324001e+07 1.5830766171447946e+07 1.5684278838681435e+07 1.5525108280045701e+07 1.5354502981031742e+07 1.5174587151611608e+07 1.4989403985751746e+07 1.4804972384977449e+07 1.4631141334626818e+07 1.4480306819613341e+07 1.4371870702751417e+07 1.4332865852746891e+07 1.4402573138456658e+07 1.4638160403827636e+07 1.5126258338766109e+07 1.6004007092803149e+07 1.7502479081098974e+07 2.7044551932612890e+06 +1.2083594531510927e+01 6.5791954982999317e+07 6.5785308413574949e+07 6.5773992906662978e+07 6.5758762227458686e+07 6.5742630697555915e+07 6.5730578559595138e+07 6.5724945765947059e+07 6.5721873311606221e+07 6.5717209306394950e+07 6.5709771354604945e+07 6.5699625490776703e+07 6.5686414670310922e+07 6.5669541205123901e+07 6.5648376101989612e+07 6.5622244190032542e+07 6.5590329684181735e+07 6.5551654000124320e+07 6.5505073341028102e+07 6.5449250329991765e+07 6.5382611330910623e+07 6.5303316811343305e+07 6.5209180767177857e+07 6.5097210282642558e+07 6.4962264346859746e+07 6.4798642587003298e+07 6.4603478044008128e+07 6.4373696067336336e+07 6.4104399293799952e+07 6.3789584560826570e+07 6.3422439205096163e+07 6.2995371498001173e+07 6.2500016389075309e+07 6.1927278054072574e+07 6.1267428488409251e+07 6.0510285645431004e+07 5.9645479970223077e+07 5.8662849584929571e+07 5.7552971308459722e+07 5.6307855380491100e+07 5.4921782472824253e+07 5.3272638554699622e+07 5.1460489710371569e+07 4.9495019524053112e+07 4.7394205927868456e+07 4.5184823216369644e+07 4.2901991656384751e+07 4.0587545168574497e+07 3.8287193494568810e+07 3.6046792354707867e+07 3.3908073862997353e+07 3.1904950263063021e+07 3.0061600476657696e+07 2.8391729303962525e+07 2.6897510345312633e+07 2.5572725845019992e+07 2.4405892566535335e+07 2.3382008498978026e+07 2.2485271632729221e+07 2.1700142014687829e+07 2.1013108023751825e+07 2.0411643455446158e+07 1.9885807131998271e+07 1.9426323582107719e+07 1.9026453787490591e+07 1.8679510917212613e+07 1.8379908635619324e+07 1.8123308518475529e+07 1.7905152527501710e+07 1.7721048096084848e+07 1.7567777180786923e+07 1.7441358086937815e+07 1.7338869957135104e+07 1.7256966693858244e+07 1.7192755030663069e+07 1.7142321717995267e+07 1.7101861894101724e+07 1.7068522545252621e+07 1.7039604469283935e+07 1.7012470382593457e+07 1.6993319140868027e+07 1.6973997730391655e+07 1.6954289993135791e+07 1.6933650651317857e+07 1.6912359806341071e+07 1.6889807557733607e+07 1.6866739389401395e+07 1.6841116271618783e+07 1.6813693937854718e+07 1.6783967753060829e+07 1.6751543658702880e+07 1.6715942809136575e+07 1.6676625773270346e+07 1.6632820219339928e+07 1.6584607920864923e+07 1.6530177377635282e+07 1.6469151041435279e+07 1.6400643406986019e+07 1.6323701532591185e+07 1.6237342690381970e+07 1.6140581167638356e+07 1.6032329400794951e+07 1.5912728334860263e+07 1.5779693690190192e+07 1.5633678949950250e+07 1.5475021901884966e+07 1.5304967003713220e+07 1.5125631612438500e+07 1.4941045878021859e+07 1.4757209296523858e+07 1.4583939017638842e+07 1.4433591120647851e+07 1.4325504838123312e+07 1.4286625838623105e+07 1.4356108240964491e+07 1.4590935462616351e+07 1.5077458715874519e+07 1.5952375733511342e+07 1.7446013371308882e+07 2.6943739461820037e+06 +1.2088562854285186e+01 6.5613918704887614e+07 6.5607289886916436e+07 6.5596004392056286e+07 6.5580813695879281e+07 6.5564723309064947e+07 6.5552699734574936e+07 6.5547076591593884e+07 6.5544005465744600e+07 6.5539345617336072e+07 6.5531917498654462e+07 6.5521786576000355e+07 6.5508596389770538e+07 6.5491750424024008e+07 6.5470620858051240e+07 6.5444533744070977e+07 6.5412674799879298e+07 6.5374067240761839e+07 6.5327569357738204e+07 6.5271846210896157e+07 6.5205327052852452e+07 6.5126175743289620e+07 6.5032210347067475e+07 6.4920443647276528e+07 6.4785744443179041e+07 6.4622422653035954e+07 6.4427616533425100e+07 6.4198257854224913e+07 6.3929459122139633e+07 6.3615229217763409e+07 6.3248769365493923e+07 6.2822503656936146e+07 6.2328084943498477e+07 6.1756437498712502e+07 6.1097855659013316e+07 6.0342181893697456e+07 5.9479073138192534e+07 5.8498395534490086e+07 5.7390754719865240e+07 5.6148189406667583e+07 5.4765006809019193e+07 5.3119372586999319e+07 5.1311170411790572e+07 4.9350089258468919e+07 4.7254094084997937e+07 4.5049923538854674e+07 4.2772636801852979e+07 4.0463981237352774e+07 3.8169558227543771e+07 3.5935100877436511e+07 3.3802215803804331e+07 3.1804699156523682e+07 2.9966632108639587e+07 2.8301647028767984e+07 2.6811878961178672e+07 2.5491099581108619e+07 2.4327835905169390e+07 2.3307112800399512e+07 2.2413163080138113e+07 2.1630485484386373e+07 2.0945604164473876e+07 2.0346028254145578e+07 1.9821845315888837e+07 1.9363807746166676e+07 1.8965196852307077e+07 1.8619346522643931e+07 1.8320687860090502e+07 1.8064895964702792e+07 1.7847427243519366e+07 1.7663903048927821e+07 1.7511115465149157e+07 1.7385095491376936e+07 1.7282931380671754e+07 1.7201287585940897e+07 1.7137279847922970e+07 1.7087007198679216e+07 1.7046676773942057e+07 1.7013444408963740e+07 1.6984619355033893e+07 1.6957572715781849e+07 1.6938483248467866e+07 1.6919224178525198e+07 1.6899580035659064e+07 1.6879007297131669e+07 1.6857785158689737e+07 1.6835305701357018e+07 1.6812311933100320e+07 1.6786771501911294e+07 1.6759437660625434e+07 1.6729807402528204e+07 1.6697487940700533e+07 1.6662001974691885e+07 1.6622811814073009e+07 1.6579147633268647e+07 1.6531090872799361e+07 1.6476835974555822e+07 1.6416006567248588e+07 1.6347720003056476e+07 1.6271026415347144e+07 1.6184946247430827e+07 1.6088496967388410e+07 1.5980594534562156e+07 1.5861379372716222e+07 1.5728774020922530e+07 1.5583230459153635e+07 1.5425085385205744e+07 1.5255579241050076e+07 1.5076822551170127e+07 1.4892832460653476e+07 1.4709589118034419e+07 1.4536877932900559e+07 1.4387015197931286e+07 1.4279277703006033e+07 1.4240524177378232e+07 1.4309782369220024e+07 1.4543851821268171e+07 1.5028805104378751e+07 1.5900898858291714e+07 1.7389716610489573e+07 2.6843289173848224e+06 +1.2093531177059445e+01 6.5436295490302362e+07 6.5429684495345883e+07 6.5418428788679890e+07 6.5403277888931029e+07 6.5387228558724657e+07 6.5375233493598744e+07 6.5369619997045182e+07 6.5366550218470089e+07 6.5361894543831818e+07 6.5354476268179037e+07 6.5344360291865759e+07 6.5331190739886329e+07 6.5314372267457969e+07 6.5293278225120232e+07 6.5267235887509458e+07 6.5235432473967478e+07 6.5196892997941785e+07 6.5150477836540245e+07 6.5094854485237241e+07 6.5028455082899243e+07 6.4949446878706351e+07 6.4855652003073022e+07 6.4744088932405621e+07 6.4609636266913041e+07 6.4446614208769403e+07 6.4252166226854414e+07 6.4023230503324166e+07 6.3754929403774954e+07 6.3441283838765800e+07 6.3075508904646121e+07 6.2650044494150035e+07 6.2156561337427780e+07 6.1586003777894050e+07 6.0928688459253073e+07 6.0174482326105371e+07 5.9313068756091259e+07 5.8334341853886954e+07 5.7228936008273691e+07 5.5988918327713288e+07 5.4608622483141787e+07 5.2966493388692908e+07 5.1162232424945891e+07 4.9205533844859384e+07 4.7114349538632922e+07 4.4915382449188426e+07 4.2643630671257004e+07 4.0340755080602244e+07 3.8052248851232328e+07 3.5823722703500986e+07 3.3696658049366936e+07 3.1704735268915731e+07 2.9871938112122022e+07 2.8211826809869636e+07 2.6726498068262789e+07 2.5409713135586746e+07 2.4250009355072923e+07 2.3232438479898762e+07 2.2341268112210248e+07 2.1561035621401317e+07 2.0878300861221377e+07 2.0280608223090652e+07 1.9758073940929923e+07 1.9301478206761274e+07 1.8904122600471597e+07 1.8559361672788057e+07 1.8261643916414615e+07 1.8006657918115415e+07 1.7789874488606486e+07 1.7606928859268308e+07 1.7454623212966587e+07 1.7329001205763262e+07 1.7227160175441939e+07 1.7145775095003176e+07 1.7081970686955880e+07 1.7031858229888447e+07 1.6991656822389346e+07 1.6958531123815544e+07 1.6929798814859960e+07 1.6902839361828994e+07 1.6883811484160770e+07 1.6864614568186700e+07 1.6845033829366822e+07 1.6824527494787678e+07 1.6803373857185815e+07 1.6780966973209132e+07 1.6758047382502299e+07 1.6732589390432153e+07 1.6705343776710758e+07 1.6675809158188205e+07 1.6643594015714603e+07 1.6608222589389343e+07 1.6569158924268585e+07 1.6525635693367973e+07 1.6477734005537648e+07 1.6423654226535911e+07 1.6363021158699946e+07 1.6294955003081545e+07 1.6218508958906725e+07 1.6132706631161576e+07 1.6036568659259293e+07 1.5929014514792845e+07 1.5810184102151927e+07 1.5678006758320173e+07 1.5532932964743542e+07 1.5375298332513273e+07 1.5206339299893443e+07 1.5028159579309065e+07 1.4844763349861486e+07 1.4662111470455809e+07 1.4489957705803182e+07 1.4340578680715883e+07 1.4233188929438680e+07 1.4194560502066482e+07 1.4263595154457431e+07 1.4496909104984198e+07 1.4980297117018508e+07 1.5849576057373146e+07 1.7333588350501504e+07 2.6743199831225369e+06 +1.2098499499833704e+01 6.5259084280863650e+07 6.5252491210006639e+07 6.5241265354482830e+07 6.5226154124589913e+07 6.5210145767109543e+07 6.5198179159026407e+07 6.5192575304340087e+07 6.5189506891689792e+07 6.5184855407837741e+07 6.5177446984888919e+07 6.5167345959853239e+07 6.5154197042031273e+07 6.5137406056566961e+07 6.5116347524393775e+07 6.5090349941208869e+07 6.5058602027067684e+07 6.5020130591818899e+07 6.4973798097342633e+07 6.4918274472426653e+07 6.4851994740038618e+07 6.4773129535893202e+07 6.4679505052772596e+07 6.4568145454958439e+07 6.4433939133981787e+07 6.4271216568961613e+07 6.4077126437598236e+07 6.3848613326346949e+07 6.3580809448487088e+07 6.3267747731405891e+07 6.2902657127655491e+07 6.2477993311932586e+07 6.1985444869929366e+07 6.1415976186963052e+07 6.0759926180228099e+07 6.0007186229284272e+07 5.9147466105482399e+07 5.8170687819052383e+07 5.7067514443706907e+07 5.5830041407514393e+07 5.4452628752806619e+07 5.2814000210935168e+07 5.1013674994970851e+07 4.9061352523476139e+07 4.6974971525627553e+07 4.4781199183197506e+07 4.2514972502230465e+07 4.0217865941128723e+07 3.7935264617154367e+07 3.5712657097017504e+07 3.3591399879777841e+07 3.1605057899184156e+07 2.9777517806987453e+07 2.8122267989166524e+07 2.6641367030862313e+07 2.5328565894734416e+07 2.4172412323384304e+07 2.3157984964085497e+07 2.2269586173454069e+07 2.1491791886368364e+07 2.0811197589155138e+07 2.0215382850356493e+07 1.9694492506651957e+07 1.9239334473433536e+07 1.8843230550379712e+07 1.8499555893700302e+07 1.8202776337332997e+07 1.7948593917134020e+07 1.7732493806109264e+07 1.7550125074515112e+07 1.7398299975116711e+07 1.7273074783821795e+07 1.7171555897515066e+07 1.7090428779025093e+07 1.7026827107261639e+07 1.6976874372323632e+07 1.6936801601088803e+07 1.6903782252320912e+07 1.6875142412012205e+07 1.6848269884663779e+07 1.6829303412353244e+07 1.6810168464270663e+07 1.6790650939675447e+07 1.6770210810216643e+07 1.6749125468358368e+07 1.6726790940377824e+07 1.6703945305274922e+07 1.6678569505472453e+07 1.6651411855155023e+07 1.6621972589840688e+07 1.6589861454362016e+07 1.6554604224759877e+07 1.6515666676387351e+07 1.6472283973292826e+07 1.6424536893983934e+07 1.6370631709894015e+07 1.6310194393644398e+07 1.6242347986658776e+07 1.6166148744823972e+07 1.6080623425375313e+07 1.5984795829505166e+07 1.5877588930536065e+07 1.5759142115278551e+07 1.5627391497893594e+07 1.5482786065974761e+07 1.5325660347148176e+07 1.5157246787948869e+07 1.4979642309155103e+07 1.4796838162683519e+07 1.4614775975512076e+07 1.4443177962538257e+07 1.4294281199031141e+07 1.4187238150210086e+07 1.4148734446464371e+07 1.4217546228706619e+07 1.4450106939767230e+07 1.4931934367308779e+07 1.5798406921877049e+07 1.7277628144167565e+07 2.6643470200407179e+06 +1.2103467822607962e+01 6.5082285196055621e+07 6.5075709399203002e+07 6.5064513344571091e+07 6.5049441719510533e+07 6.5033474254693002e+07 6.5021536052967697e+07 6.5015941835523129e+07 6.5012874807378687e+07 6.5008227531104721e+07 6.5000828970468983e+07 6.4990742901513927e+07 6.4977614617623329e+07 6.4960851112667829e+07 6.4939828076670118e+07 6.4913875225825883e+07 6.4882182779513173e+07 6.4843779342483707e+07 6.4797529459862962e+07 6.4742105491752312e+07 6.4675945342994325e+07 6.4597223033108875e+07 6.4503768813672505e+07 6.4392612531487636e+07 6.4258652360030800e+07 6.4096229048190124e+07 6.3902496478876971e+07 6.3674405634825319e+07 6.3407098566036940e+07 6.3094620203379363e+07 6.2730213339740582e+07 6.2306349412597694e+07 6.1814734840106584e+07 6.1246354021355219e+07 6.0591568113264352e+07 5.9840292889965914e+07 5.8982264468041919e+07 5.8007432706244491e+07 5.6906489296540782e+07 5.5671557910418294e+07 5.4297024876103468e+07 5.2661892305238955e+07 5.0865497367535554e+07 4.8917544535082430e+07 4.6835959283561856e+07 4.4647372977461264e+07 4.2386661533230819e+07 4.0095313062603757e+07 3.7818604778002128e+07 3.5601903323216252e+07 3.3486440576304168e+07 3.1505666347400237e+07 2.9683370514205396e+07 2.8032969909809880e+07 2.6556485214484029e+07 2.5247657245914165e+07 2.4095044218373537e+07 2.3083751680695433e+07 2.2198116709436983e+07 2.1422753741058644e+07 2.0744293824477233e+07 2.0150351625052907e+07 1.9631100513563454e+07 1.9177376056795169e+07 1.8782520221437559e+07 1.8439928712424837e+07 1.8144084656512149e+07 1.7890703501161609e+07 1.7675284740256920e+07 1.7493491243031055e+07 1.7342145303422026e+07 1.7217315780236926e+07 1.7116118103925504e+07 1.7035248196908504e+07 1.6971848669260394e+07 1.6922055187573273e+07 1.6882110672662165e+07 1.6849197357906263e+07 1.6820649710628342e+07 1.6793863849125218e+07 1.6774958598362874e+07 1.6755885432631170e+07 1.6736430932924371e+07 1.6716056810274726e+07 1.6695039559582375e+07 1.6672777170788554e+07 1.6650005269994646e+07 1.6624711416265557e+07 1.6597641465869326e+07 1.6568297268159591e+07 1.6536289828143535e+07 1.6501146453227760e+07 1.6462334643850558e+07 1.6419092047605155e+07 1.6371499113897972e+07 1.6317768001774237e+07 1.6257525850800145e+07 1.6189898534266885e+07 1.6113945355583642e+07 1.6028696214750404e+07 1.5933178065272722e+07 1.5826317371684864e+07 1.5708253005074328e+07 1.5576927836039312e+07 1.5432789362963036e+07 1.5276171033274973e+07 1.5108301313724475e+07 1.4931270353785338e+07 1.4749056516935566e+07 1.4567582255742369e+07 1.4396538330042766e+07 1.4248122383691113e+07 1.4141424998898182e+07 1.4103045645149156e+07 1.4171635224739924e+07 1.4403444952395396e+07 1.4883716469585853e+07 1.5747391043740802e+07 1.7221835545240112e+07 2.6544099051766014e+06 +1.2108436145382221e+01 6.4905896825645983e+07 6.4899338350398295e+07 6.4888172115137182e+07 6.4873139993184157e+07 6.4857213341978543e+07 6.4845303497577578e+07 6.4839718912468351e+07 6.4836653287270047e+07 6.4832010235293545e+07 6.4824621546447389e+07 6.4814550438231304e+07 6.4801442787891299e+07 6.4784706756682009e+07 6.4763719202841848e+07 6.4737811062034287e+07 6.4706174051663570e+07 6.4667838570001885e+07 6.4621671243701041e+07 6.4566346862459578e+07 6.4500306210482717e+07 6.4421726688478343e+07 6.4328442603274807e+07 6.4217489478758931e+07 6.4083775260822758e+07 6.3921650960979216e+07 6.3728275663936399e+07 6.3500606740514718e+07 6.3233796066152893e+07 6.2921900562241934e+07 6.2558176846029185e+07 6.2135112098495007e+07 6.1644430547044381e+07 6.1077136576519728e+07 6.0423613549879484e+07 5.9673801594975621e+07 5.8817463125658967e+07 5.7844575791879177e+07 5.6745859837366313e+07 5.5513467100861631e+07 5.4141810111476608e+07 5.2510168923699006e+07 5.0717698788820326e+07 4.8774109121111967e+07 4.6697312050747648e+07 4.4513903069396004e+07 4.2258697003624655e+07 3.9973095689753123e+07 3.7702268587380402e+07 3.5491460648372903e+07 3.3381779421282154e+07 3.1406559914830059e+07 2.9589495556020655e+07 2.7943931916054450e+07 2.6471851985778831e+07 2.5166986577721030e+07 2.4017904449467845e+07 2.3009738058596749e+07 2.2126859166833885e+07 2.1353920648240786e+07 2.0677589044500280e+07 2.0085514037345108e+07 1.9567897463218149e+07 1.9115602468419597e+07 1.8721991133988071e+07 1.8380479656988662e+07 1.8085568408614650e+07 1.7832986210514490e+07 1.7618246836246964e+07 1.7437026914129145e+07 1.7286158750594508e+07 1.7161723750601269e+07 1.7060846352588817e+07 1.6980232908463262e+07 1.6917034934257019e+07 1.6867400238167897e+07 1.6827583600607421e+07 1.6794776004906971e+07 1.6766320275772488e+07 1.6739620820960687e+07 1.6720776608444666e+07 1.6701765039980179e+07 1.6682373376320083e+07 1.6662065062730927e+07 1.6641115699194711e+07 1.6618925233364610e+07 1.6596226846121209e+07 1.6571014692926526e+07 1.6544032179679444e+07 1.6514782764723303e+07 1.6482878709482312e+07 1.6447848848105153e+07 1.6409162400981795e+07 1.6366059491735473e+07 1.6318620241957720e+07 1.6265062680255257e+07 1.6205015109816091e+07 1.6137606227292530e+07 1.6061898374500817e+07 1.5976924584786475e+07 1.5881714954573698e+07 1.5775199429040164e+07 1.5657516365358187e+07 1.5526615369947394e+07 1.5382942456646930e+07 1.5226829995873995e+07 1.5059502486555573e+07 1.4883043327130582e+07 1.4701418031237831e+07 1.4520529934457479e+07 1.4350038436069796e+07 1.4202101866259769e+07 1.4095749109819226e+07 1.4057493733444886e+07 1.4125861776123617e+07 1.4356922770423742e+07 1.4835643038999859e+07 1.5696528015784280e+07 1.7166210108386535e+07 2.6445085159579888e+06 +1.2113404468156480e+01 6.4729918507716864e+07 6.4723377414502718e+07 6.4712241005695939e+07 6.4697248271313548e+07 6.4681362350045346e+07 6.4669480814638324e+07 6.4663905856783524e+07 6.4660841653053977e+07 6.4656202842059277e+07 6.4648824034285881e+07 6.4638767891331233e+07 6.4625680873914465e+07 6.4608972309558302e+07 6.4588020223716304e+07 6.4562156770287342e+07 6.4530575163815089e+07 6.4492307594343461e+07 6.4446222768528260e+07 6.4390997903666079e+07 6.4325076661217555e+07 6.4246639820064910e+07 6.4153525739003211e+07 6.4042775613273956e+07 6.3909307152031913e+07 6.3747481621840045e+07 6.3554463305913307e+07 6.3327215954925478e+07 6.3060901258680411e+07 6.2749588115716524e+07 6.2386546951710269e+07 6.1964280672028549e+07 6.1474531289928138e+07 6.0908323148081966e+07 6.0256061781466417e+07 5.9507711631323792e+07 5.8653061360254101e+07 5.7682116352508552e+07 5.6585625337093085e+07 5.5355768243826948e+07 5.3986983717700124e+07 5.2358829318768211e+07 5.0570278505546428e+07 4.8631045523587629e+07 4.6559029066083506e+07 4.4380788697147228e+07 4.2131078153611876e+07 3.9851213068122558e+07 3.7586255299929366e+07 3.5381328339882188e+07 3.3277415698163018e+07 3.1307737903897520e+07 2.9495892255824849e+07 2.7855153353416208e+07 2.6387466712576453e+07 2.5086553279862456e+07 2.3940992427241214e+07 2.2935943527759578e+07 2.2055812993433714e+07 2.1285292071837209e+07 2.0611082727502830e+07 2.0020869578400906e+07 1.9504882858173829e+07 1.9054013220896591e+07 1.8661642809416045e+07 1.8321208256390635e+07 1.8027227129265748e+07 1.7775441586532723e+07 1.7561379640222013e+07 1.7380731638060514e+07 1.7230339870338317e+07 1.7106298251448296e+07 1.7005740202371243e+07 1.6925382474455725e+07 1.6862385464511897e+07 1.6812909087563258e+07 1.6773219949352466e+07 1.6740517758562572e+07 1.6712153673419898e+07 1.6685540366846427e+07 1.6666757009723982e+07 1.6647806853940617e+07 1.6628477838026723e+07 1.6608235136228144e+07 1.6587353456378598e+07 1.6565234697871752e+07 1.6542609604011213e+07 1.6517478906474534e+07 1.6490583568308765e+07 1.6461428652006673e+07 1.6429627671670068e+07 1.6394710983601129e+07 1.6356149522998136e+07 1.6313185881994361e+07 1.6265899855722113e+07 1.6212515324262930e+07 1.6152661751154166e+07 1.6085470647957545e+07 1.6010007385771962e+07 1.5925308121914767e+07 1.5830406086279204e+07 1.5724234694186568e+07 1.5606931790788146e+07 1.5476453697695272e+07 1.5333244948802529e+07 1.5177636840779122e+07 1.5010849916601872e+07 1.4834960843897099e+07 1.4653922325015098e+07 1.4473618635754103e+07 1.4303677909121206e+07 1.4156219279091544e+07 1.4050210118081996e+07 1.4012078347439865e+07 1.4080225517165428e+07 1.4310540022195095e+07 1.4787713691480344e+07 1.5645817431656573e+07 1.7110751389206957e+07 2.6346427302021538e+06 +1.2118372790930739e+01 6.4554349530439235e+07 6.4547825993839420e+07 6.4536719291673839e+07 6.4521765884262592e+07 6.4505920600885093e+07 6.4494067325788349e+07 6.4488501990342453e+07 6.4485439226423562e+07 6.4480804672888666e+07 6.4473435755357668e+07 6.4463394582021222e+07 6.4450328196865797e+07 6.4433647092345059e+07 6.4412730459972747e+07 6.4386911671154961e+07 6.4355385436141104e+07 6.4317185735347494e+07 6.4271183353816599e+07 6.4216057934530355e+07 6.4150256013762176e+07 6.4071961745951407e+07 6.3979017538070753e+07 6.3868470251696922e+07 6.3735247349220745e+07 6.3573720345342115e+07 6.3381058718008332e+07 6.3154232589639224e+07 6.2888413453261383e+07 6.2577682171329662e+07 6.2215322961989917e+07 6.1793854435589366e+07 6.1305036368057631e+07 6.0739913031679496e+07 6.0088912099709615e+07 5.9342022286189333e+07 5.8489058454112314e+07 5.7520053665131040e+07 5.6425785066900671e+07 5.5198460604466937e+07 5.3832544954006627e+07 5.2207872743385017e+07 5.0423235764986977e+07 4.8488352985161684e+07 4.6421109569334440e+07 4.4248029099706598e+07 4.2003804224340506e+07 3.9729664444341578e+07 3.7470564171391159e+07 3.5271505666203797e+07 3.3173348691595905e+07 3.1209199618196949e+07 2.9402559938164223e+07 2.7766633568561032e+07 2.6303328763916261e+07 2.5006356743244175e+07 2.3864307563379403e+07 2.2862367519301388e+07 2.1984977638109744e+07 2.1216867476800021e+07 2.0544774352913644e+07 1.9956417740476470e+07 1.9442056202026311e+07 1.8992607827814758e+07 1.8601474770053409e+07 1.8262114040601809e+07 1.7969060355050981e+07 1.7718069171440408e+07 1.7504682699277632e+07 1.7324604965993147e+07 1.7174688217251059e+07 1.7051038840223387e+07 1.6950799213055328e+07 1.6870696456532568e+07 1.6807899823168091e+07 1.6758581300096199e+07 1.6719019284225525e+07 1.6686422185067253e+07 1.6658149470453890e+07 1.6631622054311598e+07 1.6612899370274052e+07 1.6594010443094963e+07 1.6574743887088660e+07 1.6554566600358274e+07 1.6533752401231326e+07 1.6511705134997688e+07 1.6489153114945410e+07 1.6464103628841413e+07 1.6437295204381404e+07 1.6408234503393631e+07 1.6376536288900934e+07 1.6341732434836539e+07 1.6303295586000871e+07 1.6260470795625102e+07 1.6213337533633016e+07 1.6160125513632091e+07 1.6100465356215823e+07 1.6033491379395392e+07 1.5958271974480592e+07 1.5873846413389074e+07 1.5779251050088041e+07 1.5673422759622933e+07 1.5556498876890702e+07 1.5426442418175522e+07 1.5283696442034291e+07 1.5128591174622094e+07 1.4962343214807699e+07 1.4787022519621167e+07 1.4606569018481752e+07 1.4426847984540610e+07 1.4257456378502548e+07 1.4110474255284205e+07 1.4004807659555538e+07 1.3966799123986399e+07 1.4034726082964825e+07 1.4264296336822148e+07 1.4739928043782422e+07 1.5595258885878084e+07 1.7055458944276527e+07 2.6248124261147459e+06 +1.2123341113704997e+01 6.4379189427789189e+07 6.4372683311109714e+07 6.4361606296782531e+07 6.4346692161682963e+07 6.4330887417381801e+07 6.4319062352654070e+07 6.4313506634629518e+07 6.4310445328901991e+07 6.4305815049237594e+07 6.4298456030975826e+07 6.4288429831505269e+07 6.4275384077706128e+07 6.4258730425798990e+07 6.4237849232182629e+07 6.4212075084955320e+07 6.4180604188715421e+07 6.4142472312861025e+07 6.4096552319040388e+07 6.4041526274014123e+07 6.3975843586674891e+07 6.3897691784057781e+07 6.3804917317938700e+07 6.3694572710469492e+07 6.3561595168061979e+07 6.3400366445903651e+07 6.3208061213223353e+07 6.2981655956215277e+07 6.2716331959701337e+07 6.2406182036807492e+07 6.2044504182124831e+07 6.1623832691679016e+07 6.1135945080758192e+07 6.0571905523056097e+07 5.9922163796343669e+07 5.9176732846875913e+07 5.8325453689670563e+07 5.7358387006712489e+07 5.6266338298172653e+07 5.5041543448413566e+07 5.3678493080026329e+07 5.2057298450971946e+07 5.0276569814925313e+07 4.8346030749150999e+07 4.6283552800844215e+07 4.4115623516833223e+07 4.1876874457767263e+07 3.9608449065959781e+07 3.7355194458485760e+07 3.5161991896891356e+07 3.3069577687361456e+07 3.1110944362458244e+07 2.9309497928814489e+07 2.7678371909304190e+07 2.6219437509989928e+07 2.4926396359895155e+07 2.3787849270745747e+07 2.2789009465446420e+07 2.1914352550824426e+07 2.1148646329168767e+07 2.0478663401142359e+07 1.9892158016801514e+07 1.9379416999333501e+07 1.8931385803774234e+07 1.8541486539234526e+07 1.8203196540575959e+07 1.7911067623515852e+07 1.7660868508456264e+07 1.7448155561430365e+07 1.7268646450066723e+07 1.7119203346884362e+07 1.6995945075312078e+07 1.6896022945337467e+07 1.6816174417271391e+07 1.6753577574306753e+07 1.6704416441057915e+07 1.6664981171486523e+07 1.6632488851445006e+07 1.6604307234653009e+07 1.6577865451857721e+07 1.6559203259035302e+07 1.6540375376861706e+07 1.6521171093448984e+07 1.6501059025568796e+07 1.6480312104796747e+07 1.6458336116333339e+07 1.6435856951099206e+07 1.6410888432834437e+07 1.6384166661390617e+07 1.6355199893152986e+07 1.6323604136281000e+07 1.6288912777784826e+07 1.6250600166976977e+07 1.6207913810726801e+07 1.6160932855013518e+07 1.6107892829066928e+07 1.6048425507233839e+07 1.5981668005584879e+07 1.5906691726560546e+07 1.5822539047345027e+07 1.5728249436624426e+07 1.5622763218675422e+07 1.5506217220034810e+07 1.5376581131132158e+07 1.5234296539801540e+07 1.5079692604881506e+07 1.4913981992973970e+07 1.4739227970625984e+07 1.4559357732650464e+07 1.4380217606471913e+07 1.4211373474279102e+07 1.4064866428738005e+07 1.3959541370866725e+07 1.3921655700701026e+07 1.3989363109364547e+07 1.4218191344206795e+07 1.4692285713465078e+07 1.5544851973819541e+07 1.7000332331052326e+07 2.6150174822886959e+06 +1.2128309436479256e+01 6.4204437964044027e+07 6.4197948884320498e+07 6.4186901334862083e+07 6.4172026428207502e+07 6.4156262123173907e+07 6.4144465216588899e+07 6.4138919111194715e+07 6.4135859281956770e+07 6.4131233292537518e+07 6.4123884182394229e+07 6.4113872960897364e+07 6.4100847837389179e+07 6.4084221630663969e+07 6.4063375861050524e+07 6.4037646332043104e+07 6.4006230741712704e+07 6.3968166646573380e+07 6.3922328983565465e+07 6.3867402241183177e+07 6.3801838698451504e+07 6.3723829252281614e+07 6.3631224395768411e+07 6.3521082306080870e+07 6.3388349924004056e+07 6.3227419237925895e+07 6.3035470104779877e+07 6.2809485366177231e+07 6.2544656087765485e+07 6.2235087019803129e+07 6.1874089917344667e+07 6.1454214742824003e+07 6.0967256727411635e+07 6.0404299918144062e+07 5.9755816163340561e+07 5.9011842600783020e+07 5.8162246349475153e+07 5.7197115654677279e+07 5.6107284302695878e+07 5.4885016041502364e+07 5.3524827355735794e+07 5.1907105695456006e+07 5.0130279903778411e+07 4.8204078059419326e+07 4.6146358001758181e+07 4.3983571189108618e+07 4.1750288096791729e+07 3.9487566181503728e+07 3.7240145418976955e+07 3.5052786302616328e+07 3.2966101972316872e+07 3.1012971442603774e+07 2.9216705554650348e+07 2.7590367724713501e+07 2.6135792322144464e+07 2.4846671523046263e+07 2.3711616963341814e+07 2.2715868799535226e+07 2.1843937182671905e+07 2.1080628096076235e+07 2.0412749353683129e+07 1.9828089901688885e+07 1.9316964755762324e+07 1.8870346664345197e+07 1.8481677641266845e+07 1.8144455288239248e+07 1.7853248473151326e+07 1.7603839141743332e+07 1.7391797775703438e+07 1.7212855643329211e+07 1.7063884815686867e+07 1.6941016516022138e+07 1.6841410960846107e+07 1.6761815920191130e+07 1.6699418282924276e+07 1.6650414076602492e+07 1.6611105178287961e+07 1.6578717325703770e+07 1.6550626534744335e+07 1.6524270128877560e+07 1.6505668245888272e+07 1.6486901225604014e+07 1.6467759027948461e+07 1.6447711983284919e+07 1.6427032138973916e+07 1.6405127214360431e+07 1.6382720685542639e+07 1.6357832892189102e+07 1.6331197513763407e+07 1.6302324396441853e+07 1.6270830789787717e+07 1.6236251589339346e+07 1.6198062843815673e+07 1.6155514506281044e+07 1.6108685400066188e+07 1.6055816852155846e+07 1.5996541787358468e+07 1.5930000111400757e+07 1.5855266228830852e+07 1.5771385612795852e+07 1.5677400837320657e+07 1.5572255665553771e+07 1.5456086417430416e+07 1.5326869437147632e+07 1.5185044846382672e+07 1.5030940739854973e+07 1.4865765863704447e+07 1.4691576814060068e+07 1.4512288089340139e+07 1.4333727128035894e+07 1.4165428827301526e+07 1.4019395434107661e+07 1.3914410889400844e+07 1.3876647715961719e+07 1.3944136232987931e+07 1.4172224675017918e+07 1.4644786318881428e+07 1.5494596291678173e+07 1.6945371107943553e+07 2.6052577777031194e+06 +1.2133277759253515e+01 6.4030093917870328e+07 6.4023622048717260e+07 6.4012603698131345e+07 6.3997768002777956e+07 6.3982044042074397e+07 6.3970275238930874e+07 6.3964738741349973e+07 6.3961680407008052e+07 6.3957058724133104e+07 6.3949719530845053e+07 6.3939723291234881e+07 6.3926718796815678e+07 6.3910120027656883e+07 6.3889309666991822e+07 6.3863624732749209e+07 6.3832264415103935e+07 6.3794268056344435e+07 6.3748512666801609e+07 6.3693685154926583e+07 6.3628240667501792e+07 6.3550373468595274e+07 6.3457938088768050e+07 6.3347998354960293e+07 6.3215510932562895e+07 6.3054878035816640e+07 6.2863284705719672e+07 6.2637720131104074e+07 6.2373385147099502e+07 6.2064396427964419e+07 6.1704079472974025e+07 6.1284999891572326e+07 6.0798970607498832e+07 6.0237095512893595e+07 5.9589868492602311e+07 5.8847350835609719e+07 5.7999435716373652e+07 5.7036238886560701e+07 5.5948622352456883e+07 5.4728877650020920e+07 5.3371547041602433e+07 5.1757293731119700e+07 4.9984365280389033e+07 4.8062494160544261e+07 4.6009524413902625e+07 4.3851871357925072e+07 4.1624044385194056e+07 3.9367015040433638e+07 3.7125416311653562e+07 3.4943888155132622e+07 3.2862920834492706e+07 3.0915280165717628e+07 2.9124182143836349e+07 2.7502620364960302e+07 2.6052392572935686e+07 2.4767181627056494e+07 2.3635610056292973e+07 2.2642944956042681e+07 2.1773730985824548e+07 2.1012812245712433e+07 2.0347031693099573e+07 1.9764212890440028e+07 1.9254698977913622e+07 1.8809489926130131e+07 1.8422047601476148e+07 1.8085889816476434e+07 1.7795602443449758e+07 1.7546980616409190e+07 1.7335608891962979e+07 1.7157232099786833e+07 1.7008732181095872e+07 1.6886252722590365e+07 1.6786962822122421e+07 1.6707620529685918e+07 1.6645421514921457e+07 1.6596573773859980e+07 1.6557390872704362e+07 1.6525107176713621e+07 1.6497106940311329e+07 1.6470835655632550e+07 1.6452293901596883e+07 1.6433587560577802e+07 1.6414507262359248e+07 1.6394525045732282e+07 1.6373912076563504e+07 1.6352078002464181e+07 1.6329743892229220e+07 1.6304936581500698e+07 1.6278387336807001e+07 1.6249607589322478e+07 1.6218215826298101e+07 1.6183748447289046e+07 1.6145683195269823e+07 1.6103272462179160e+07 1.6056594749892520e+07 1.6003897165360970e+07 1.5944813780596834e+07 1.5878487282587139e+07 1.5803995068981528e+07 1.5720385699597474e+07 1.5626704844487572e+07 1.5521899695289435e+07 1.5406106067146778e+07 1.5277306937643705e+07 1.5135940966881411e+07 1.4982335188657481e+07 1.4817694440404659e+07 1.4644068667865211e+07 1.4465359711158853e+07 1.4287376176477671e+07 1.4119622069205036e+07 1.3974060906831566e+07 1.3869415853322089e+07 1.3831774808894932e+07 1.3899045091218136e+07 1.4126395960716071e+07 1.4597429479200268e+07 1.5444491436521495e+07 1.6890574834280819e+07 2.5955331917222380e+06 +1.2138246082027774e+01 6.3856156210774072e+07 6.3849701692541167e+07 6.3838712745228618e+07 6.3823916200375281e+07 6.3808232497480139e+07 6.3796491740997203e+07 6.3790964846656643e+07 6.3787908025432251e+07 6.3783290665223114e+07 6.3775961397376135e+07 6.3765980143498562e+07 6.3752996276825577e+07 6.3736424937580474e+07 6.3715649970492899e+07 6.3690009607263379e+07 6.3658704528868683e+07 6.3620775861728989e+07 6.3575102688030511e+07 6.3520374334153391e+07 6.3455048812348701e+07 6.3377323750762187e+07 6.3285057714212097e+07 6.3175320173591889e+07 6.3043077509301491e+07 6.2882742154019259e+07 6.2691504329051338e+07 6.2466359562555976e+07 6.2202518447611816e+07 6.1894109569100462e+07 6.1534472154428110e+07 6.1116187440631822e+07 6.0631086020600975e+07 6.0070291603291474e+07 5.9424320076365255e+07 5.8683256839149237e+07 5.7837021073369563e+07 5.6875755980249748e+07 5.5790351719851799e+07 5.4573127540565461e+07 5.3218651398401484e+07 5.1607861812890574e+07 4.9838825194346212e+07 4.7921278297730818e+07 4.5873051279848441e+07 4.3720523265443586e+07 4.1498142567605317e+07 3.9246794893191911e+07 3.7011006396378636e+07 3.4835296727250963e+07 3.2760033563021835e+07 3.0817869840016957e+07 2.9031927025658842e+07 2.7415129181485109e+07 2.5969237636077531e+07 2.4687926067468222e+07 2.3559827965874046e+07 2.2570237370554078e+07 2.1703733413521066e+07 2.0945198247322850e+07 2.0281509902965859e+07 1.9700526479453512e+07 1.9192619173432764e+07 1.8748815106724866e+07 1.8362595946128279e+07 1.8027499659158520e+07 1.7738129074811786e+07 1.7490292478513423e+07 1.7279588461105518e+07 1.7101775374372751e+07 1.6953745001406979e+07 1.6831653256160811e+07 1.6732678092661910e+07 1.6653587811131604e+07 1.6591586837135728e+07 1.6542895100813514e+07 1.6503837823715070e+07 1.6471657974275207e+07 1.6443748021859370e+07 1.6417561603331154e+07 1.6399079797837447e+07 1.6380433953961179e+07 1.6361415369333753e+07 1.6341497786111807e+07 1.6320951491318032e+07 1.6299188054929493e+07 1.6276926146028586e+07 1.6252199076286342e+07 1.6225735706719831e+07 1.6197049048742967e+07 1.6165758823581919e+07 1.6131402930278085e+07 1.6093460801023679e+07 1.6051187259161465e+07 1.6004660486475989e+07 1.5952133352046952e+07 1.5893241071820809e+07 1.5827129105740594e+07 1.5752877835555503e+07 1.5669538898468696e+07 1.5576161051291496e+07 1.5471694903769506e+07 1.5356275768094044e+07 1.5227893234888054e+07 1.5086984507249648e+07 1.4933875561237710e+07 1.4769767337314807e+07 1.4596703150789611e+07 1.4418572221503975e+07 1.4241164379818445e+07 1.4073952832389822e+07 1.3928862483074103e+07 1.3824555901546620e+07 1.3787036619411139e+07 1.3854089322199859e+07 1.4080704833513634e+07 1.4550214814382739e+07 1.5394537006273530e+07 1.6835943070315648e+07 2.5858436040942906e+06 +1.2143214404802032e+01 6.3682624868640944e+07 6.3676187670445435e+07 6.3665227862915933e+07 6.3650470334192418e+07 6.3634826811912887e+07 6.3623114044075996e+07 6.3617596748380072e+07 6.3614541458594851e+07 6.3609928437085129e+07 6.3602609103151895e+07 6.3592642838649578e+07 6.3579679598275639e+07 6.3563135680870578e+07 6.3542396092038222e+07 6.3516800275790147e+07 6.3485550402936675e+07 6.3447689382398136e+07 6.3402098366516627e+07 6.3347469097749762e+07 6.3282262451296546e+07 6.3204679416699618e+07 6.3112582589142203e+07 6.3003047078280762e+07 6.2871048969704062e+07 6.2711010906865411e+07 6.2520128288012467e+07 6.2295402972043715e+07 6.2032055299071714e+07 6.1724225750889234e+07 6.1365267267081328e+07 6.0947776692678869e+07 6.0463602266360939e+07 5.9903887485596418e+07 5.9259170206865095e+07 5.8519559899350986e+07 5.7675001703707322e+07 5.6715666213829339e+07 5.5632471677445233e+07 5.4417764980114639e+07 5.3066139687421292e+07 5.1458809196070544e+07 4.9693658895558894e+07 4.7780429716757938e+07 4.5736937842864200e+07 4.3589526154702581e+07 4.1372581889593326e+07 3.9126904991219424e+07 3.6896914933994003e+07 3.4727011292920552e+07 3.2657439448266897e+07 3.0720739774938963e+07 2.8939939530556731e+07 2.7327893526829690e+07 2.5886326886465486e+07 2.4608904240957920e+07 2.3484270109489307e+07 2.2497745479763217e+07 2.1633943920165677e+07 2.0877785571260840e+07 2.0216183467964180e+07 1.9637030166081000e+07 1.9130724850991249e+07 1.8688321724696487e+07 1.8303322202509172e+07 1.7969284351117190e+07 1.7680827908647649e+07 1.7433774275069017e+07 1.7223736034937393e+07 1.7046485022954963e+07 1.6898922835899264e+07 1.6777217678822860e+07 1.6678556336815853e+07 1.6599717330747219e+07 1.6537913817284426e+07 1.6489377626391426e+07 1.6450445601214070e+07 1.6418369289116679e+07 1.6390549350837924e+07 1.6364447544070978e+07 1.6346025507196331e+07 1.6327439978795394e+07 1.6308482922440490e+07 1.6288629778497377e+07 1.6268149957821909e+07 1.6246456946945790e+07 1.6224267022699688e+07 1.6199619952958642e+07 1.6173242200599967e+07 1.6144648352556970e+07 1.6113459360299153e+07 1.6079214617884697e+07 1.6041395241603659e+07 1.5999258478898693e+07 1.5952882192650789e+07 1.5900524996418867e+07 1.5841823246809186e+07 1.5775925168365361e+07 1.5701914117988378e+07 1.5618844801025089e+07 1.5525769051766375e+07 1.5421640887767076e+07 1.5306595120032219e+07 1.5178627931975238e+07 1.5038175074254133e+07 1.4885561468349406e+07 1.4721984169460244e+07 1.4549479882386738e+07 1.4371925244576324e+07 1.4195091366911687e+07 1.4028420750027964e+07 1.3883799799816582e+07 1.3779830673734332e+07 1.3742432788171053e+07 1.3809268564835280e+07 1.4035150926429970e+07 1.4503141945201073e+07 1.5344732599688925e+07 1.6781475377263136e+07 2.5761888949504402e+06 +1.2148182727576291e+01 6.3509498792872198e+07 6.3503079197443828e+07 6.3492148405547544e+07 6.3477429717628971e+07 6.3461826306908496e+07 6.3450141469617575e+07 6.3444633767836466e+07 6.3441580027727149e+07 6.3436971360957384e+07 6.3429661969244681e+07 6.3419710697630279e+07 6.3406768081823729e+07 6.3390251578231633e+07 6.3369547351954974e+07 6.3343996058553383e+07 6.3312801357214622e+07 6.3275007937983364e+07 6.3229499021593541e+07 6.3174968764582053e+07 6.3109880902823053e+07 6.3032439784116603e+07 6.2940512030881815e+07 6.2831178385492161e+07 6.2699424629274860e+07 6.2539683608866930e+07 6.2349155895615719e+07 6.2124849671223246e+07 6.1861995011287935e+07 6.1554744281191625e+07 6.1196464116346516e+07 6.0779766950505845e+07 6.0296518644505255e+07 5.9737882456139460e+07 5.9094418176639363e+07 5.8356259304449305e+07 5.7513376890838213e+07 5.6555968865607604e+07 5.5474981498205841e+07 5.4262789235911831e+07 5.2914011170276873e+07 5.1310135136466593e+07 4.9548865634739175e+07 4.7639947664187454e+07 4.5601183347019844e+07 4.3458879269481353e+07 4.1247361597620137e+07 3.9007344586894751e+07 3.6783141186441354e+07 3.4619031127188608e+07 3.2555137781655356e+07 3.0623889281011514e+07 2.8848218990182638e+07 2.7240912754776329e+07 2.5803659700192403e+07 2.4530115545392592e+07 2.3408935905722681e+07 2.2425468721502040e+07 2.1564361961183582e+07 2.0810573688933454e+07 2.0151051873774014e+07 1.9573723448769912e+07 1.9069015520250969e+07 1.8628009299636438e+07 1.8244225898871023e+07 1.7911243428151995e+07 1.7623698487303138e+07 1.7377425554045036e+07 1.7168051166190475e+07 1.6991360602301288e+07 1.6844265244762968e+07 1.6722945553595735e+07 1.6624597119913893e+07 1.6546008655708233e+07 1.6484402024012305e+07 1.6436020920425666e+07 1.6397213775992366e+07 1.6365240692828797e+07 1.6337510499568187e+07 1.6311493050850909e+07 1.6293130603139503e+07 1.6274605209056599e+07 1.6255709496124305e+07 1.6235920597882455e+07 1.6215507051607922e+07 1.6193884254580727e+07 1.6171766098910797e+07 1.6147198788807910e+07 1.6120906396437377e+07 1.6092405079488268e+07 1.6061317016003635e+07 1.6027183090535726e+07 1.5989486098440066e+07 1.5947485703907872e+07 1.5901259452178854e+07 1.5849071683597019e+07 1.5790559892194781e+07 1.5724875058801427e+07 1.5651103506548937e+07 1.5568302999705400e+07 1.5475528440793974e+07 1.5371737244868346e+07 1.5257063723552644e+07 1.5129510632859241e+07 1.4989512275515158e+07 1.4837392521597082e+07 1.4674344552710909e+07 1.4502398483021468e+07 1.4325418405363681e+07 1.4149156767335460e+07 1.3983025456077782e+07 1.3838872494784454e+07 1.3735239810353870e+07 1.3697962956577096e+07 1.3764582458812060e+07 1.3989733873235365e+07 1.4456210493217889e+07 1.5295077816363065e+07 1.6727171317226350e+07 2.5665689448037096e+06 +1.2153151050350550e+01 6.3336777518552281e+07 6.3330375321612269e+07 6.3319473699759632e+07 6.3304793667476133e+07 6.3289230302705236e+07 6.3277573339049526e+07 6.3272075226384178e+07 6.3269023054069199e+07 6.3264418757963188e+07 6.3257119316676997e+07 6.3247183041382998e+07 6.3234261048308797e+07 6.3217771950239383e+07 6.3197103070682116e+07 6.3171596275646314e+07 6.3140456711613312e+07 6.3102730848033272e+07 6.3057303972399138e+07 6.3002872653421037e+07 6.2937903485120423e+07 6.2860604170884728e+07 6.2768845356462702e+07 6.2659713411599532e+07 6.2528203803445898e+07 6.2368759574332051e+07 6.2178586465047061e+07 6.1954698971745037e+07 6.1692336894130878e+07 6.1385664467859484e+07 6.1028062007856347e+07 6.0612157517056450e+07 6.0129834454950199e+07 5.9572275811383359e+07 5.8930063278258108e+07 5.8193354342704110e+07 5.7352145918388322e+07 5.6396663214268386e+07 5.5317880455381416e+07 5.4108199575770073e+07 5.2762265109135866e+07 5.1161838890475467e+07 4.9404444662945509e+07 4.7499831387076870e+07 4.5465787037014000e+07 4.3328581854462817e+07 4.1122480939030349e+07 3.8888112933611967e+07 3.6669684416696824e+07 3.4511355506163560e+07 3.2453127855750486e+07 3.0527317670063328e+07 2.8756764737376813e+07 2.7154186220264498e+07 2.5721235454470549e+07 2.4451559379787561e+07 2.3333824774255596e+07 2.2353406534711316e+07 2.1494986993143663e+07 2.0743562072836183e+07 2.0086114607158940e+07 1.9510605826964989e+07 1.9007490691899218e+07 1.8567877352133680e+07 1.8185306564441364e+07 1.7853376427048195e+07 1.7566740354069952e+07 1.7321245864330966e+07 1.7112533408555202e+07 1.6936401670189466e+07 1.6789771789110467e+07 1.6668836444375508e+07 1.6570800008172922e+07 1.6492461354087813e+07 1.6431051026902545e+07 1.6382824553660056e+07 1.6344141919764740e+07 1.6312271757921774e+07 1.6284631041257365e+07 1.6258697697584454e+07 1.6240394660076914e+07 1.6221929219621157e+07 1.6203094665770447e+07 1.6183369820116909e+07 1.6163022349062765e+07 1.6141469554824067e+07 1.6119422952201903e+07 1.6094935162043255e+07 1.6068727873118479e+07 1.6040318809160495e+07 1.6009331371128766e+07 1.5975307929558622e+07 1.5937732953852447e+07 1.5895868517601380e+07 1.5849791849667504e+07 1.5797772999562733e+07 1.5739450595479781e+07 1.5673978366286388e+07 1.5600445592396000e+07 1.5517913087826064e+07 1.5425438814100899e+07 1.5321983573537657e+07 1.5207681180112155e+07 1.5080540942315176e+07 1.4940995719454296e+07 1.4789368333380861e+07 1.4626848103746342e+07 1.4455458573848842e+07 1.4279051329655809e+07 1.4103360211496452e+07 1.3937766585268302e+07 1.3794080206463575e+07 1.3690782952593530e+07 1.3653626766823478e+07 1.3720030644562466e+07 1.3944453308483701e+07 1.4409420080794580e+07 1.5245572256763320e+07 1.6673030453260344e+07 2.5569836345478850e+06 +1.2158119373124809e+01 6.3164460316997498e+07 6.3158075346915200e+07 6.3147203002661772e+07 6.3132561508016467e+07 6.3117038118901648e+07 6.3105408974024996e+07 6.3099920445252165e+07 6.3096869858924732e+07 6.3092269949236460e+07 6.3084980466472819e+07 6.3075059190668941e+07 6.3062157818433933e+07 6.3045696117401414e+07 6.3025062568524450e+07 6.2999600247222930e+07 6.2968515785997577e+07 6.2930857432103768e+07 6.2885512538229086e+07 6.2831180083101168e+07 6.2766329516640633e+07 6.2689171894783936e+07 6.2597581883095495e+07 6.2488651472988941e+07 6.2357385807711385e+07 6.2198238117763937e+07 6.2008419309442036e+07 6.1784950185169160e+07 6.1523080257530756e+07 6.1216985618716896e+07 6.0860060247152030e+07 6.0444947695304669e+07 5.9963548997676924e+07 5.9407066847862646e+07 5.8766104804502524e+07 5.8030844302746587e+07 5.7191308070355892e+07 5.6237748538709924e+07 5.5161167822586961e+07 5.3953995267653905e+07 5.2610900766500287e+07 5.1013919714850873e+07 4.9260395232019961e+07 4.7360080133260481e+07 4.5330748158350199e+07 4.3198633155058853e+07 4.0997939162086941e+07 3.8769209285681970e+07 3.6556543888770424e+07 3.4403983707086638e+07 3.2351408964287952e+07 3.0431024254954394e+07 2.8665576106159914e+07 2.7067713279417321e+07 2.5639053527716395e+07 2.4373235144312169e+07 2.3258936135907557e+07 2.2281558359427735e+07 2.1425818473689590e+07 2.0676750196518168e+07 2.0021371155904468e+07 1.9447676801142640e+07 1.8946149877627626e+07 1.8507925403750792e+07 1.8126563729437910e+07 1.7795682885552075e+07 1.7509953053220753e+07 1.7265234755814482e+07 1.7057182316667382e+07 1.6881607785250384e+07 1.6735442030984323e+07 1.6614889916039584e+07 1.6517164568727791e+07 1.6439074994908173e+07 1.6377860396395801e+07 1.6329788097719584e+07 1.6291229605145451e+07 1.6259462057830276e+07 1.6231910550063701e+07 1.6206061059064701e+07 1.6187817253259350e+07 1.6169411586239709e+07 1.6150638007599708e+07 1.6130977021997551e+07 1.6110695427522961e+07 1.6089212425541887e+07 1.6067237161028063e+07 1.6042828651731057e+07 1.6016706210398968e+07 1.5988389122105911e+07 1.5957502007011473e+07 1.5923588717187617e+07 1.5886135391044933e+07 1.5844406504287193e+07 1.5798478970624117e+07 1.5746628531174267e+07 1.5688494945055397e+07 1.5623234680911031e+07 1.5549939967558667e+07 1.5467674659582363e+07 1.5375499768307652e+07 1.5272379473059241e+07 1.5158447091995711e+07 1.5031718465961674e+07 1.4892625015346451e+07 1.4741488516933702e+07 1.4579494440031944e+07 1.4408659776840910e+07 1.4232823644031962e+07 1.4057701330549505e+07 1.3892643773104494e+07 1.3749422574121889e+07 1.3646459742413649e+07 1.3609423861825828e+07 1.3675612763276048e+07 1.3899308867507987e+07 1.4362770331113068e+07 1.5196215522188049e+07 1.6619052349311257e+07 2.5474328454564484e+06 +1.2163087695899067e+01 6.2992546626431979e+07 6.2986178591017187e+07 6.2975335581550248e+07 6.2960732570973560e+07 6.2945249075007848e+07 6.2933647696052566e+07 6.2928168745751917e+07 6.2925119763394900e+07 6.2920524255953096e+07 6.2913244739586920e+07 6.2903338466434591e+07 6.2890457712856576e+07 6.2874023400273785e+07 6.2853425165819556e+07 6.2828007293396294e+07 6.2796977900176547e+07 6.2759387009788446e+07 6.2714124038279809e+07 6.2659890372515336e+07 6.2595158315704346e+07 6.2518142273615167e+07 6.2426720927872591e+07 6.2317991886044495e+07 6.2186969957739808e+07 6.2028118553560652e+07 6.1838653741899334e+07 6.1615602623219743e+07 6.1354224411467440e+07 6.1048707041879825e+07 6.0692458140014738e+07 6.0278136788275667e+07 5.9797661572788246e+07 5.9242254862288013e+07 5.8602542048355974e+07 5.7868728473315284e+07 5.7030862630919687e+07 5.6079224118072495e+07 5.5004842873702772e+07 5.3800175580053307e+07 5.2459917405365534e+07 5.0866376866947845e+07 4.9116716594308279e+07 4.7220693151173666e+07 4.5196065957267024e+07 4.3069032417610049e+07 4.0873735515947305e+07 3.8650632898498915e+07 3.6443718867692150e+07 3.4296915008319639e+07 3.2249980402123675e+07 3.0335008349768989e+07 2.8574652431741197e+07 2.6981493289546825e+07 2.5557113299564887e+07 2.4295142240292802e+07 2.3184269412686396e+07 2.2209923636858858e+07 2.1356855861551922e+07 2.0610137534607049e+07 1.9956821008884944e+07 1.9384935872846469e+07 1.8884992590164106e+07 1.8448152977061439e+07 1.8067996925066825e+07 1.7738162342355777e+07 1.7453336129968699e+07 1.7209391779268019e+07 1.7001997446085185e+07 1.6826978507105779e+07 1.6681275533343913e+07 1.6561105534338592e+07 1.6463690369649904e+07 1.6385849148050951e+07 1.6324829703896908e+07 1.6276911125186278e+07 1.6238476405643698e+07 1.6206811166880382e+07 1.6179348601003943e+07 1.6153582711003719e+07 1.6135397958890818e+07 1.6117051885601314e+07 1.6098339098821994e+07 1.6078741781202560e+07 1.6058525865177637e+07 1.6037112445501411e+07 1.6015208304732302e+07 1.5990878837868365e+07 1.5964840988957049e+07 1.5936615599723451e+07 1.5905828505846161e+07 1.5872025036508674e+07 1.5834692994088378e+07 1.5793099249126844e+07 1.5747320401417371e+07 1.5695637866152931e+07 1.5637692530188058e+07 1.5572643593646351e+07 1.5499586224913243e+07 1.5417587310001045e+07 1.5325710900846798e+07 1.5222924543604182e+07 1.5109361062335500e+07 1.4983042810244197e+07 1.4844399773289651e+07 1.4693752686308429e+07 1.4532283179866280e+07 1.4362001714746827e+07 1.4186734975847755e+07 1.4012179756472854e+07 1.3847656655849120e+07 1.3704899237775577e+07 1.3602269822527921e+07 1.3565353885284174e+07 1.3631328456913335e+07 1.3854300186396474e+07 1.4316260868118759e+07 1.5147007214792747e+07 1.6565236570289835e+07 2.5379164591815062e+06 +1.2168056018673326e+01 6.2821035767452337e+07 6.2814684811010279e+07 6.2803870700741969e+07 6.2789306190962896e+07 6.2773862490712173e+07 6.2762288826935567e+07 6.2756819449199967e+07 6.2753772088764049e+07 6.2749180999176085e+07 6.2741911457037739e+07 6.2732020189478561e+07 6.2719160052315608e+07 6.2702753119354360e+07 6.2682190182955123e+07 6.2656816734249704e+07 6.2625842374079771e+07 6.2588318900652267e+07 6.2543137791734524e+07 6.2489002840352930e+07 6.2424389200672552e+07 6.2347514625179924e+07 6.2256261808040373e+07 6.2147733967258811e+07 6.2016955568874136e+07 6.1858400196234636e+07 6.1669289075694636e+07 6.1446655597665481e+07 6.1185768665990673e+07 6.0880828045342699e+07 6.0525254992161080e+07 6.0111724099199928e+07 5.9632171480456404e+07 5.9077839151627846e+07 5.8439374302897885e+07 5.7707006143377848e+07 5.6870808884375744e+07 5.5921089231889248e+07 5.4848904882984824e+07 5.3646739781821862e+07 5.2309314289064191e+07 5.0719209604633182e+07 4.8973408002669610e+07 4.7081669689974651e+07 4.5061739680789746e+07 4.2939778889188543e+07 4.0749869250707649e+07 3.8532383028338112e+07 3.6331208619611226e+07 3.4190148689248726e+07 3.2148841465294663e+07 3.0239269269788954e+07 2.8483993050446503e+07 2.6895525609154746e+07 2.5475414150742784e+07 2.4217280070214000e+07 2.3109824027684696e+07 2.2138501809264846e+07 2.1288098616589647e+07 2.0543723562780350e+07 1.9892463655991599e+07 1.9322382544576503e+07 1.8824018343204252e+07 1.8388559595631465e+07 1.8009605683503740e+07 1.7680814337167643e+07 1.7396889130486242e+07 1.7153716486466903e+07 1.6946978353315040e+07 1.6772513396270387e+07 1.6627271860098489e+07 1.6507482865967505e+07 1.6410376979897032e+07 1.6332783384349924e+07 1.6271958521685654e+07 1.6224193209513329e+07 1.6185881895687221e+07 1.6154318660294870e+07 1.6126944770028546e+07 1.6101262230023216e+07 1.6083136354054596e+07 1.6064849695238927e+07 1.6046197517456338e+07 1.6026663676295515e+07 1.6006513241124980e+07 1.5985169194356183e+07 1.5963335963544151e+07 1.5939085301335957e+07 1.5913131790353796e+07 1.5884997824298078e+07 1.5854310450754529e+07 1.5820616471521379e+07 1.5783405347970948e+07 1.5741946338175109e+07 1.5696315729299253e+07 1.5644800593127778e+07 1.5587042940990655e+07 1.5522204696326472e+07 1.5449383958217399e+07 1.5367650634967839e+07 1.5276071810039030e+07 1.5173618386165557e+07 1.5060422695126135e+07 1.4934513582446633e+07 1.4796319604192730e+07 1.4646160456373619e+07 1.4485213942342790e+07 1.4315484011149192e+07 1.4140784953272976e+07 1.3966795121981787e+07 1.3802804870556360e+07 1.3660509838211944e+07 1.3558212836428043e+07 1.3521416481644673e+07 1.3587177368196463e+07 1.3809426902030973e+07 1.4269891316600639e+07 1.5097946937548911e+07 1.6511582682000902e+07 2.5284343577527064e+06 +1.2173024341447585e+01 6.2649927090715103e+07 6.2643592976696201e+07 6.2632807732204638e+07 6.2618281699046493e+07 6.2602877686605431e+07 6.2591331688366398e+07 6.2585871876836233e+07 6.2582826156193204e+07 6.2578239499968432e+07 6.2570979939822957e+07 6.2561103680633679e+07 6.2548264157459140e+07 6.2531884595183119e+07 6.2511356940172367e+07 6.2486027889906764e+07 6.2455108527451985e+07 6.2417652424220897e+07 6.2372553117815129e+07 6.2318516805512011e+07 6.2254021489854254e+07 6.2177288267281160e+07 6.2086203840684079e+07 6.1977877032988749e+07 6.1847341956805661e+07 6.1689082360240221e+07 6.1500324624145083e+07 6.1278108420270160e+07 6.1017712331121005e+07 6.0713347937216744e+07 6.0358450109491371e+07 5.9945708931280911e+07 5.9467078021004699e+07 5.8913819012829557e+07 5.8276600861489378e+07 5.7545676602097996e+07 5.6711146115473531e+07 5.5763343159864664e+07 5.4693353124989256e+07 5.3493687142158061e+07 5.2159090681515530e+07 5.0572417186264575e+07 4.8830468710669272e+07 4.6943008999365821e+07 4.4927768576609075e+07 4.2810871817743741e+07 4.0626339617316462e+07 3.8414458932508528e+07 3.6219012411630437e+07 3.4083684030477561e+07 3.2047991450945806e+07 3.0143806331417691e+07 2.8393597299890269e+07 2.6809809597923283e+07 2.5393955463209175e+07 2.4139648037759114e+07 2.3035599405154563e+07 2.2067292320070643e+07 2.1219546199701112e+07 2.0477507757830817e+07 1.9828298588154837e+07 1.9260016319937069e+07 1.8763226651484888e+07 1.8329144784021482e+07 1.7951389537883125e+07 1.7623638410595886e+07 1.7340611601914749e+07 1.7098208430097617e+07 1.6892124595789246e+07 1.6718212014212310e+07 1.6573430576044189e+07 1.6454021478525128e+07 1.6357223969370538e+07 1.6279877275537552e+07 1.6219246422954712e+07 1.6171633925070034e+07 1.6133445650605651e+07 1.6101984114218617e+07 1.6074698633970421e+07 1.6049099193612402e+07 1.6031032016737303e+07 1.6012804593643758e+07 1.5994212842450753e+07 1.5974742286725283e+07 1.5954657135359736e+07 1.5933382252684873e+07 1.5911619718594864e+07 1.5887447623864084e+07 1.5861578197020654e+07 1.5833535379023613e+07 1.5802947425705252e+07 1.5769362607092524e+07 1.5732272038512057e+07 1.5690947358380539e+07 1.5645464542421794e+07 1.5594116301575812e+07 1.5536545768467238e+07 1.5471917581647705e+07 1.5399332762072340e+07 1.5317864231251512e+07 1.5226582095033381e+07 1.5124460602594528e+07 1.5011631595160954e+07 1.4886130390705934e+07 1.4748384119805189e+07 1.4598711442821799e+07 1.4438286347380571e+07 1.4269106290399875e+07 1.4094973205251707e+07 1.3921547060604047e+07 1.3758088055042781e+07 1.3616254016991612e+07 1.3514288428335549e+07 1.3477611296092927e+07 1.3543159140590066e+07 1.3764688652058318e+07 1.4223661302099537e+07 1.5049034294314330e+07 1.6458090251192655e+07 2.5189864235761790e+06 +1.2177992664221843e+01 6.2479220080330655e+07 6.2472902741188526e+07 6.2462146061237343e+07 6.2447658418603174e+07 6.2432293984160691e+07 6.2420775602022007e+07 6.2415325349943422e+07 6.2412281286890171e+07 6.2407699079511270e+07 6.2400449508915223e+07 6.2390588260800958e+07 6.2377769349002615e+07 6.2361417148262247e+07 6.2340924757851601e+07 6.2315640080458425e+07 6.2284775680260479e+07 6.2247386900052451e+07 6.2202369335784785e+07 6.2148431586785294e+07 6.2084054501687467e+07 6.2007462517729305e+07 6.1916546343153685e+07 6.1808420399733439e+07 6.1678128437050954e+07 6.1520164360183671e+07 6.1331759700478971e+07 6.1109960402900696e+07 6.0850054717086717e+07 6.0546266025749281e+07 6.0192042797904588e+07 5.9780090588043064e+07 5.9302380495042667e+07 5.8750193743111342e+07 5.8114221017527260e+07 5.7384739138840660e+07 5.6551873609031625e+07 5.5605985182042770e+07 5.4538186874650560e+07 5.3341016930681467e+07 5.2009245847047634e+07 5.0425998870658956e+07 4.8687897972396225e+07 4.6804710329899758e+07 4.4794151893233001e+07 4.2682310452090442e+07 4.0503145867699966e+07 3.8296859869302556e+07 3.6107129512013964e+07 3.3977520313604191e+07 3.1947429657374218e+07 3.0048618852252200e+07 2.8303464518811319e+07 2.6724344616698157e+07 2.5312736620084792e+07 2.4062245547696926e+07 2.2961594970497426e+07 2.1996294613797657e+07 2.1151198072908755e+07 2.0411489597586971e+07 1.9764325297397796e+07 1.9197836703508791e+07 1.8702617030752454e+07 1.8269908067781053e+07 1.7893348022375338e+07 1.7566634104265671e+07 1.7284503092338957e+07 1.7042867163789254e+07 1.6837435731896140e+07 1.6664073923293320e+07 1.6519751246941963e+07 1.6400720940547086e+07 1.6304230908856476e+07 1.6227130394257436e+07 1.6166692981818419e+07 1.6119232847131673e+07 1.6081167246627860e+07 1.6049807105692687e+07 1.6022609770571640e+07 1.5997093180197505e+07 1.5979084525811546e+07 1.5960916160166491e+07 1.5942384653678583e+07 1.5922977192866268e+07 1.5902957128771285e+07 1.5881751201915942e+07 1.5860059151892731e+07 1.5835965388134513e+07 1.5810179792297283e+07 1.5782227847959880e+07 1.5751739015585121e+07 1.5718263028966833e+07 1.5681292652464354e+07 1.5640101897567309e+07 1.5594766429777807e+07 1.5543584581854673e+07 1.5486200604493771e+07 1.5421781843182037e+07 1.5349432231957553e+07 1.5268227696481125e+07 1.5177241355849208e+07 1.5075450795581365e+07 1.4962987368114505e+07 1.4837892843958162e+07 1.4700592932714943e+07 1.4551405262151090e+07 1.4391500015705459e+07 1.4222868177673634e+07 1.4049299361533767e+07 1.3876435206609661e+07 1.3713505847894384e+07 1.3572131416414220e+07 1.3470496243257118e+07 1.3433937974603141e+07 1.3499273418335939e+07 1.3720085074885784e+07 1.4177570450992985e+07 1.5000268889745649e+07 1.6404758845522288e+07 2.5095725394334677e+06 +1.2182960986996102e+01 6.2308913355439462e+07 6.2302613100163907e+07 6.2291885034846567e+07 6.2277435664314710e+07 6.2262110705947347e+07 6.2250619889554001e+07 6.2245179189929023e+07 6.2242136801957972e+07 6.2237559058851279e+07 6.2230319485200174e+07 6.2220473250729173e+07 6.2207674947679788e+07 6.2191350099172823e+07 6.2170892956358120e+07 6.2145652626063444e+07 6.2114843152339473e+07 6.2077521647794567e+07 6.2032585764868408e+07 6.1978746503048241e+07 6.1914487554508388e+07 6.1838036694426693e+07 6.1747288632489994e+07 6.1639363384041987e+07 6.1509314325313762e+07 6.1351645510643341e+07 6.1163593618051723e+07 6.0942210857469223e+07 6.0682795134090900e+07 6.0379581619261466e+07 6.0026032363591306e+07 5.9614868372952811e+07 5.9138078203102909e+07 5.8586962639873117e+07 5.7952234064824931e+07 5.7224193043255523e+07 5.6392990650309697e+07 5.5449014578838333e+07 5.4383405407262489e+07 5.3188728417383954e+07 5.1859779050406247e+07 5.0279953917341374e+07 4.8545695042517655e+07 4.6666772932668045e+07 4.4660888879889093e+07 4.2554094041828893e+07 4.0380287254685767e+07 3.8179585097989157e+07 3.5995559189975731e+07 3.3871656821424924e+07 3.1847155384027448e+07 2.9953706151059646e+07 2.8213594047123693e+07 2.6639130027539730e+07 2.5231757005657624e+07 2.3985072006021891e+07 2.2887810150226988e+07 2.1925508136044428e+07 2.1083053699342035e+07 2.0345668560942672e+07 1.9700543276759133e+07 1.9135843200915087e+07 1.8642188997724980e+07 1.8210848973435052e+07 1.7835480672062792e+07 1.7509800960761603e+07 1.7228563150781941e+07 1.6987692242142718e+07 1.6782911320930712e+07 1.6610098686860885e+07 1.6466233439436328e+07 1.6347580821463952e+07 1.6251397370088363e+07 1.6174542314055515e+07 1.6114297773274561e+07 1.6066989551876074e+07 1.6029046260894161e+07 1.5997787212617476e+07 1.5970677758468706e+07 1.5945243769070091e+07 1.5927293461068235e+07 1.5909183975052869e+07 1.5890712531874426e+07 1.5871367975975901e+07 1.5851412803154292e+07 1.5830275624385674e+07 1.5808653846359748e+07 1.5784638177678417e+07 1.5758936160396999e+07 1.5731074816073775e+07 1.5700684806141581e+07 1.5667317323803084e+07 1.5630466777416263e+07 1.5589409544408707e+07 1.5544220981257228e+07 1.5493205025189256e+07 1.5436007041812722e+07 1.5371797075364644e+07 1.5299681964223236e+07 1.5218740629114199e+07 1.5128049193358615e+07 1.5026588568687284e+07 1.4914489620477257e+07 1.4789800552005494e+07 1.4652945656310536e+07 1.4504241531690603e+07 1.4344854568836235e+07 1.4176769298921229e+07 1.4003763052636206e+07 1.3831459195113771e+07 1.3669057888472717e+07 1.3528141679569284e+07 1.3426835926932303e+07 1.3390396163881913e+07 1.3455519846424583e+07 1.3675615809699629e+07 1.4131618390420044e+07 1.4951650329372194e+07 1.6351588033565426e+07 2.5001925884804558e+06 +1.2187929309770361e+01 6.2139006546485491e+07 6.2132723368898109e+07 6.2122023965048119e+07 6.2107612745218664e+07 6.2092327175118431e+07 6.2080863872604378e+07 6.2075432718027778e+07 6.2072392022733986e+07 6.2067818759095296e+07 6.2060589189838082e+07 6.2050757971415065e+07 6.2037980274138965e+07 6.2021682768404879e+07 6.2001260856001019e+07 6.1976064846860133e+07 6.1945310263542414e+07 6.1908055986984149e+07 6.1863201724330880e+07 6.1809460873169944e+07 6.1745319966767557e+07 6.1669010115253940e+07 6.1578430026114292e+07 6.1470705302364767e+07 6.1340898937248409e+07 6.1183525126264274e+07 6.0995825690312512e+07 6.0774859095942035e+07 6.0515932892504774e+07 6.0213294026081309e+07 5.9860418112685464e+07 5.9450041589657485e+07 5.8974170446054846e+07 5.8424125000559524e+07 5.7790639297218673e+07 5.7064037605262734e+07 5.6234496524655506e+07 5.5292430630905390e+07 5.4229007998407044e+07 5.3036820872699268e+07 5.1710689556800231e+07 5.0134281586159162e+07 4.8403859176411428e+07 4.6529196059465520e+07 4.4527978786618881e+07 4.2426221837389491e+07 4.0257763031986572e+07 3.8062633878878117e+07 3.5884300715867341e+07 3.3766092837772571e+07 3.1747167931498505e+07 2.9859067547795091e+07 2.8123985225951698e+07 2.6554165193676211e+07 2.5151016005396064e+07 2.3908126819821231e+07 2.2814244372023031e+07 2.1854932333601266e+07 2.1015112543179341e+07 2.0280044127875615e+07 1.9636952020310480e+07 1.9074035318806596e+07 1.8581942070194442e+07 1.8151967028540697e+07 1.7777787023037564e+07 1.7453138523600854e+07 1.7172791327228192e+07 1.6932683220674332e+07 1.6728550923157383e+07 1.6556285869129101e+07 1.6412876721115692e+07 1.6294600691633185e+07 1.6198722925682513e+07 1.6122112609393956e+07 1.6062060373259626e+07 1.6014903616373487e+07 1.5977082271437833e+07 1.5945924013864173e+07 1.5918902177206757e+07 1.5893550540441979e+07 1.5875658403170748e+07 1.5857607619478321e+07 1.5839196058670083e+07 1.5819914218196038e+07 1.5800023741163496e+07 1.5778955103324596e+07 1.5757403385773115e+07 1.5733465576929033e+07 1.5707846886422029e+07 1.5680075869202711e+07 1.5649784384027893e+07 1.5616525079108775e+07 1.5579794001883689e+07 1.5538869888471767e+07 1.5493827787606958e+07 1.5442977223693928e+07 1.5385964674019329e+07 1.5321962873493481e+07 1.5250081556042010e+07 1.5169402628476735e+07 1.5079005209255392e+07 1.4977873526266504e+07 1.4866137959590415e+07 1.4741853125472320e+07 1.4605441904813213e+07 1.4457219869576624e+07 1.4298349629112128e+07 1.4130809280919047e+07 1.3958363909874095e+07 1.3786618661938192e+07 1.3624743816903487e+07 1.3484284450292638e+07 1.3383307125865404e+07 1.3346985511390992e+07 1.3411898070612762e+07 1.3631280496459302e+07 1.4085804748329829e+07 1.4903178219556736e+07 1.6298577384838510e+07 2.4908464542463166e+06 +1.2192897632544620e+01 6.1969499301955678e+07 6.1963232861720636e+07 6.1952562114678502e+07 6.1938188969404571e+07 6.1922942715149984e+07 6.1911506872626387e+07 6.1906085255740352e+07 6.1903046270424888e+07 6.1898477501416355e+07 6.1891257943764918e+07 6.1881441743627414e+07 6.1868684649152763e+07 6.1852414476579629e+07 6.1832027777218878e+07 6.1806876063004479e+07 6.1776176333812594e+07 6.1738989237280577e+07 6.1694216533498421e+07 6.1640574016109057e+07 6.1576551056944631e+07 6.1500382098184578e+07 6.1409969841290802e+07 6.1302445471406780e+07 6.1172881588589497e+07 6.1015802521822356e+07 6.0828455230754122e+07 6.0607904430424049e+07 6.0349467302628294e+07 6.0047402554715641e+07 5.9695199351490594e+07 5.9285609541977920e+07 5.8810656524693407e+07 5.8261680122989379e+07 5.7629436008758016e+07 5.6904272114865743e+07 5.6076390517804533e+07 5.5136232619183816e+07 5.4074993924087852e+07 5.2885293567518689e+07 5.1561976631982930e+07 4.9988981137608752e+07 4.8262389629930407e+07 4.6391978962792903e+07 4.4395420864151083e+07 4.2298693090150498e+07 4.0135572454263024e+07 3.7946005473227054e+07 3.5773353361104108e+07 3.3660827647647880e+07 3.1647466601570111e+07 2.9764702363546330e+07 2.8034637397578388e+07 2.6469449479517188e+07 2.5070513005927954e+07 2.3831409397393983e+07 2.2740897064661939e+07 2.1784566654311139e+07 2.0947374069709942e+07 2.0214615779407404e+07 1.9573551023187995e+07 1.9012412564854529e+07 1.8521875766882829e+07 1.8093261761594918e+07 1.7720266612350911e+07 1.7396646337292150e+07 1.7117187172636449e+07 1.6877839655854758e+07 1.6674354099729365e+07 1.6502635035281695e+07 1.6359680660493337e+07 1.6241780122341113e+07 1.6146207149179192e+07 1.6069840855650187e+07 1.6009980358595183e+07 1.5962974618627260e+07 1.5925274857188540e+07 1.5894217089149188e+07 1.5867282607218653e+07 1.5842013075421875e+07 1.5824178933691721e+07 1.5806186675468246e+07 1.5787834816605330e+07 1.5768615502556525e+07 1.5748789526353721e+07 1.5727789222863723e+07 1.5706307354838295e+07 1.5682447171199508e+07 1.5656911556387246e+07 1.5629230594051281e+07 1.5599037336755050e+07 1.5565885883282457e+07 1.5529273915211163e+07 1.5488482520224407e+07 1.5443586440475661e+07 1.5392900770333458e+07 1.5336073095602565e+07 1.5272278833731063e+07 1.5200630605491299e+07 1.5120213294756019e+07 1.5030109006139483e+07 1.4929305273586372e+07 1.4817931993635161e+07 1.4694050175800949e+07 1.4558081293272212e+07 1.4410339894760031e+07 1.4251984819678294e+07 1.4084987751216900e+07 1.3913101565359421e+07 1.3741913243727699e+07 1.3580563274070835e+07 1.3440559373171788e+07 1.3339909487320416e+07 1.3303705665358234e+07 1.3368407737400834e+07 1.3587078775893956e+07 1.4040129153479420e+07 1.4854852167484703e+07 1.6245726469749851e+07 2.4815340206324430e+06 +1.2197865955318878e+01 6.1800390686550736e+07 6.1794140931675583e+07 6.1783498815673463e+07 6.1769163649612226e+07 6.1753956649037667e+07 6.1742548211116999e+07 6.1737136124328829e+07 6.1734098866305567e+07 6.1729534606984980e+07 6.1722325068020687e+07 6.1712523888377421e+07 6.1699787393523686e+07 6.1683544544305444e+07 6.1663193040390164e+07 6.1638085594687499e+07 6.1607440683124229e+07 6.1570320718362421e+07 6.1525629511654340e+07 6.1472085250793144e+07 6.1408180143524192e+07 6.1332151961110927e+07 6.1241907395410672e+07 6.1134583207771353e+07 6.1005261595176063e+07 6.0848477012021616e+07 6.0661481552944615e+07 6.0441346172996849e+07 6.0183397675089523e+07 5.9881906513859950e+07 5.9530375386397041e+07 5.9121571533807322e+07 5.8647535740241230e+07 5.8099627304912731e+07 5.7468623493829474e+07 5.6744895862425044e+07 5.5918671915728807e+07 5.4980419825032443e+07 5.3921362460651420e+07 5.2734145773017101e+07 5.1413639542059809e+07 4.9844051832688138e+07 4.8121285659619294e+07 4.6255120895871051e+07 4.4263214364062101e+07 4.2171507052231140e+07 4.0013714777113989e+07 3.7829699143263504e+07 3.5662716398061275e+07 3.3555860537108995e+07 3.1548050697082065e+07 2.9670609920616336e+07 2.7945549905498587e+07 2.6384982250633810e+07 2.4990247395071171e+07 2.3754919148193546e+07 2.2667767658084534e+07 2.1714410547145791e+07 2.0879837745299932e+07 2.0149382997657493e+07 1.9510339781583540e+07 1.8950974447735392e+07 1.8461989607583884e+07 1.8034732702132732e+07 1.7662918978060886e+07 1.7340323947299089e+07 1.7061750238884296e+07 1.6823161105094612e+07 1.6620320412785120e+07 1.6449145751411431e+07 1.6306644826980559e+07 1.6189118685777538e+07 1.6093849615020111e+07 1.6017726629090086e+07 1.5958057307002818e+07 1.5911202137523998e+07 1.5873623598001068e+07 1.5842666019119198e+07 1.5815818629830038e+07 1.5790630955973852e+07 1.5772854635088462e+07 1.5754920725971220e+07 1.5736628389088044e+07 1.5717471413014475e+07 1.5697709743206689e+07 1.5676777567997854e+07 1.5655365339117581e+07 1.5631582546689419e+07 1.5606129757145589e+07 1.5578538578263607e+07 1.5548443252733139e+07 1.5515399325599933e+07 1.5478906107656406e+07 1.5438247030979276e+07 1.5393496532360733e+07 1.5342975258946545e+07 1.5286331901899222e+07 1.5222744553097252e+07 1.5151328711471155e+07 1.5071172228997570e+07 1.4981360187398484e+07 1.4880883416709905e+07 1.4769871331619041e+07 1.4646391315271782e+07 1.4510863437568698e+07 1.4363601227020947e+07 1.4205759764475901e+07 1.4039304338175002e+07 1.3867975651969630e+07 1.3697342577876881e+07 1.3536515901652155e+07 1.3396966093570683e+07 1.3296642659311350e+07 1.3260556274729190e+07 1.3325048494048592e+07 1.3543010289483655e+07 1.3994591235396830e+07 1.4806671781218331e+07 1.6193034859652523e+07 2.4722551719113979e+06 +1.2202834278093137e+01 6.1631679728912964e+07 6.1625446996119335e+07 6.1614833421226434e+07 6.1600536106346428e+07 6.1585368299445607e+07 6.1573987209568329e+07 6.1568584645261116e+07 6.1565549131605327e+07 6.1560989396905459e+07 6.1553789883789942e+07 6.1544003726519138e+07 6.1531287828006163e+07 6.1515072292193718e+07 6.1494755966030359e+07 6.1469692762192518e+07 6.1439102631507665e+07 6.1402049749933347e+07 6.1357439978220791e+07 6.1303993896164857e+07 6.1240206545098752e+07 6.1164319022147365e+07 6.1074242005855016e+07 6.0967117828103103e+07 6.0838038272851452e+07 6.0681547911764868e+07 6.0494903970515154e+07 6.0275183635928936e+07 6.0017723320386827e+07 5.9716805212131873e+07 5.9365945523983523e+07 5.8957926869258903e+07 5.8484807393897139e+07 5.7937965844523795e+07 5.7308201046906702e+07 5.6585908138534740e+07 5.5761340004716262e+07 5.4824991529999949e+07 5.3768112884820208e+07 5.2583376760913223e+07 5.1265677553742595e+07 4.9699492932965159e+07 4.7980546522623010e+07 4.6118621112548716e+07 4.4131358538635008e+07 4.2044662976629846e+07 3.9892189257054813e+07 3.7713714152304463e+07 3.5552389100267895e+07 3.3451190793385264e+07 3.1448919522094954e+07 2.9576789542483602e+07 2.7856722094359536e+07 2.6300762873852093e+07 2.4910218561804906e+07 2.3678655482770767e+07 2.2594855583368465e+07 2.1644463462186456e+07 2.0812503037430812e+07 2.0084345265769366e+07 1.9447317792683274e+07 1.8889720477214582e+07 1.8402283113035284e+07 1.7976379380646754e+07 1.7605743659172848e+07 1.7284170900032498e+07 1.7006480078824095e+07 1.6768647126737587e+07 1.6566449425352754e+07 1.6395817584525539e+07 1.6253768790906712e+07 1.6136615955022890e+07 1.6041649898581311e+07 1.5965769506903050e+07 1.5906290797114030e+07 1.5859585752849042e+07 1.5822128074594161e+07 1.5791270385280002e+07 1.5764509827273482e+07 1.5739403765015269e+07 1.5721685090754138e+07 1.5703809354812793e+07 1.5685576360453023e+07 1.5666481534363195e+07 1.5646783977047678e+07 1.5625919724638911e+07 1.5604576925076835e+07 1.5580871290500231e+07 1.5555501076475637e+07 1.5527999410307148e+07 1.5498001721251305e+07 1.5465064996229513e+07 1.5428690170342907e+07 1.5388163012936160e+07 1.5343557656643869e+07 1.5293200284261473e+07 1.5236740689113466e+07 1.5173359629492451e+07 1.5102175473775219e+07 1.5022279033086514e+07 1.4932758357314160e+07 1.4832607562554751e+07 1.4721955583398515e+07 1.4598876157010993e+07 1.4463787954391612e+07 1.4317003486933796e+07 1.4159674088261060e+07 1.3993758670925649e+07 1.3822985803392023e+07 1.3652906302571585e+07 1.3492601342080269e+07 1.3353504257611845e+07 1.3253506290588325e+07 1.3217536989241686e+07 1.3281819988572473e+07 1.3499074679496704e+07 1.3949190624411503e+07 1.4758636669631727e+07 1.6140502126793660e+07 2.4630097927258499e+06 +1.2207802600867396e+01 6.1463366456927344e+07 6.1457150334792145e+07 6.1446565217621788e+07 6.1432305667955130e+07 6.1417176987978987e+07 6.1405823189333402e+07 6.1400430140028410e+07 6.1397396387792416e+07 6.1392841192432903e+07 6.1385651712066136e+07 6.1375880579133093e+07 6.1363185273493722e+07 6.1346997040969871e+07 6.1326715874525934e+07 6.1301696885750815e+07 6.1271161498872936e+07 6.1234175651760057e+07 6.1189647252653114e+07 6.1136299271333955e+07 6.1072629580169566e+07 6.0996882599325575e+07 6.0906972990178727e+07 6.0800048649251744e+07 6.0671210937562600e+07 6.0515014535937347e+07 6.0328721797206484e+07 6.0109416131610736e+07 5.9852443549309090e+07 5.9552097958401531e+07 5.9201909070943132e+07 5.8794674852531604e+07 5.8322470787066340e+07 5.7776695040032074e+07 5.7148167962749310e+07 5.6427308233981915e+07 5.5604394071322009e+07 5.4669947016090721e+07 5.3615244473653086e+07 5.2432985803258240e+07 5.1118089934097603e+07 4.9555303700563923e+07 4.7840171476691701e+07 4.5982478867417261e+07 4.3999852640958458e+07 4.1918160117215522e+07 3.9770995151499562e+07 3.7598049764571093e+07 3.5442370742297791e+07 3.3346817704768766e+07 3.1350072381837096e+07 2.9483240553732906e+07 2.7768153310031332e+07 2.6216790717088614e+07 2.4830425896298531e+07 2.3602617812879995e+07 2.2522160272703897e+07 2.1574724850642446e+07 2.0745369414653536e+07 2.0019502067992140e+07 1.9384484554770056e+07 1.8828650163998924e+07 1.8342755805046536e+07 1.7918201328604914e+07 1.7548740195668530e+07 1.7228186742888231e+07 1.6951376246230986e+07 1.6714297280079547e+07 1.6512740701411190e+07 1.6342650102593299e+07 1.6201052123555891e+07 1.6084271504111880e+07 1.5989607576113893e+07 1.5913969067164671e+07 1.5854680408455925e+07 1.5808125045286287e+07 1.5770787868612198e+07 1.5740029770100363e+07 1.5713355782682659e+07 1.5688331086328816e+07 1.5670669884906385e+07 1.5652852146713683e+07 1.5634678315886740e+07 1.5615645452322239e+07 1.5596011814110696e+07 1.5575215279564299e+07 1.5553941700063756e+07 1.5530312990590680e+07 1.5505025103005039e+07 1.5477612679545447e+07 1.5447712332468374e+07 1.5414882486203736e+07 1.5378625695261016e+07 1.5338230059159013e+07 1.5293769407584714e+07 1.5243575441848224e+07 1.5187299054333717e+07 1.5124123661663152e+07 1.5053170493026832e+07 1.4973533309781708e+07 1.4884303120987039e+07 1.4784477318881782e+07 1.4674184359650554e+07 1.4551504314945474e+07 1.4416854461238084e+07 1.4270546295894098e+07 1.4113727416586814e+07 1.3948350379432311e+07 1.3778131654083950e+07 1.3608604056795685e+07 1.3448819238548165e+07 1.3310173512162402e+07 1.3210500030691141e+07 1.3174647459376063e+07 1.3238721869751638e+07 1.3455271588951869e+07 1.3903926951658865e+07 1.4710746442438232e+07 1.6088127844340445e+07 2.4537977680875272e+06 +1.2212770923641655e+01 6.1295449497539707e+07 6.1289250240984030e+07 6.1278693506749973e+07 6.1264471667230755e+07 6.1249382035551205e+07 6.1238055471779160e+07 6.1232671930204675e+07 6.1229639956142418e+07 6.1225089314931110e+07 6.1217909874089800e+07 6.1208153767205842e+07 6.1195479050821774e+07 6.1179318111308396e+07 6.1159072086547427e+07 6.1134097285748050e+07 6.1103616605439022e+07 6.1066697743673556e+07 6.1022250654372618e+07 6.0969000695415691e+07 6.0905448567503072e+07 6.0829842010814369e+07 6.0740099665816419e+07 6.0633374988053575e+07 6.0504778905261427e+07 6.0348876199551649e+07 6.0162934346830547e+07 5.9944042972374253e+07 5.9687557672629580e+07 5.9387784061596707e+07 5.9038265334109820e+07 5.8631814788023964e+07 5.8160525221413903e+07 5.7615814189948380e+07 5.6988523536293343e+07 5.6269095439903013e+07 5.5447833402378283e+07 5.4515285565560304e+07 5.3462756504656650e+07 5.2282972172563076e+07 5.0970875950785950e+07 4.9411483398055576e+07 4.7700159780215763e+07 4.5846693415735990e+07 4.3868695924906939e+07 4.1791997728692196e+07 3.9650131718873449e+07 3.7482705245344646e+07 3.5332660599752292e+07 3.3242740560705956e+07 3.1251508582616739e+07 2.9389962280209351e+07 2.7679842899532843e+07 2.6133065149506480e+07 2.4750868789862737e+07 2.3526805551441610e+07 2.2449681159429699e+07 2.1505194164804354e+07 2.0678436346595298e+07 1.9954852889622658e+07 1.9321839567152232e+07 1.8767763019861370e+07 1.8283407206355743e+07 1.7860198078520413e+07 1.7491908128489669e+07 1.7172371024201423e+07 1.6896438295849066e+07 1.6660111125332931e+07 1.6459193805853458e+07 1.6289642874455256e+07 1.6148494397104204e+07 1.6032084907983154e+07 1.5937722224800199e+07 1.5862324888879795e+07 1.5803225721489623e+07 1.5756819596421516e+07 1.5719602562578699e+07 1.5688943756865066e+07 1.5662356080076730e+07 1.5637412504591202e+07 1.5619808602691110e+07 1.5602048687300326e+07 1.5583933841497367e+07 1.5564962753498534e+07 1.5545392841519341e+07 1.5524663820445670e+07 1.5503459252312997e+07 1.5479907235839233e+07 1.5454701426272171e+07 1.5427377976259923e+07 1.5397574677430686e+07 1.5364851387436586e+07 1.5328712275289731e+07 1.5288447763608648e+07 1.5244131380286004e+07 1.5194100328163398e+07 1.5138006595488964e+07 1.5075036249217490e+07 1.5004313370712969e+07 1.4924934662669154e+07 1.4835994084382538e+07 1.4736492294307727e+07 1.4626557271911137e+07 1.4504275403868226e+07 1.4370062576460609e+07 1.4224229276117506e+07 1.4067919375825802e+07 1.3903079094424915e+07 1.3733412839286383e+07 1.3564435480242666e+07 1.3405169235001661e+07 1.3266973504849846e+07 1.3167623529891897e+07 1.3131887336326279e+07 1.3195753787104744e+07 1.3411600661655838e+07 1.3858799849043159e+07 1.4663000710190982e+07 1.6035911586405739e+07 2.4446189833761668e+06 +1.2217739246415913e+01 6.1127928874902472e+07 6.1121746297263905e+07 6.1111217648425415e+07 6.1097033435482666e+07 6.1081982762292191e+07 6.1070683378268950e+07 6.1065309337298453e+07 6.1062279158166207e+07 6.1057733085592255e+07 6.1050563691133216e+07 6.1040822611843690e+07 6.1028168481015027e+07 6.1012034824064352e+07 6.0991823922587357e+07 6.0966893282545187e+07 6.0936467271346152e+07 6.0899615345491923e+07 6.0855249502973810e+07 6.0802097487527736e+07 6.0738662825841367e+07 6.0663196574839361e+07 6.0573621350516766e+07 6.0467096161403008e+07 6.0338741492147736e+07 6.0183132217757560e+07 5.9997540933342367e+07 5.9779063470841385e+07 5.9523065001290433e+07 5.9223862830886930e+07 5.8875013620377578e+07 5.8469345980286539e+07 5.7998969998709396e+07 5.7455322592939116e+07 5.6829267062830053e+07 5.6111269047646724e+07 5.5291657285011470e+07 5.4361006461014755e+07 5.3310648255692542e+07 5.2133335141820475e+07 5.0824034871927962e+07 4.9268031288723029e+07 4.7560510692188784e+07 4.5711264013482898e+07 4.3737887645083711e+07 4.1666175066641331e+07 3.9529598218444876e+07 3.7367679860927470e+07 3.5223257949357547e+07 3.3138958651723653e+07 3.1153227431922145e+07 2.9296954048886973e+07 2.7591790211082745e+07 2.6049585541416172e+07 2.4671546635012772e+07 2.3451218112509262e+07 2.2377417678035852e+07 2.1435870858103961e+07 2.0611703303978533e+07 1.9890397217005219e+07 1.9259382330146134e+07 1.8707058557583235e+07 1.8224236840768587e+07 1.7802369163824547e+07 1.7435246999588918e+07 1.7116723293279134e+07 1.6841665783374894e+07 1.6606088223660888e+07 1.6405808304532701e+07 1.6236795469902763e+07 1.6096095184641819e+07 1.5980055742444983e+07 1.5885993422718905e+07 1.5810836551939521e+07 1.5751926317525577e+07 1.5705668988762975e+07 1.5668571739937782e+07 1.5638011929811586e+07 1.5611510304346215e+07 1.5586647605350927e+07 1.5569100830146767e+07 1.5551398563071635e+07 1.5533342524276147e+07 1.5514433025385190e+07 1.5494926647272991e+07 1.5474264935834797e+07 1.5453129170926463e+07 1.5429653615968680e+07 1.5404529636693228e+07 1.5377294891560236e+07 1.5347588348071856e+07 1.5314971292723570e+07 1.5278949504187962e+07 1.5238815721078953e+07 1.5194643170738416e+07 1.5144774540513704e+07 1.5088862911380904e+07 1.5026096992629923e+07 1.4955603709190374e+07 1.4876482696196614e+07 1.4787830854324050e+07 1.4688652098259993e+07 1.4579073932535766e+07 1.4457189039354162e+07 1.4323411919216203e+07 1.4178052050618842e+07 1.4022249593120553e+07 1.3857944447428275e+07 1.3688828995027129e+07 1.3520400213444175e+07 1.3361650976183144e+07 1.3223903884079842e+07 1.3124876439194379e+07 1.3089256272081148e+07 1.3152915390918665e+07 1.3368061542149909e+07 1.3813808949257042e+07 1.4615399084295318e+07 1.5983852927961454e+07 2.4354733243384585e+06 +1.2222707569190172e+01 6.0960803355575137e+07 6.0954637273153141e+07 6.0944136999862462e+07 6.0929990297391333e+07 6.0914978487897888e+07 6.0903706230307966e+07 6.0898341682952471e+07 6.0895313315382265e+07 6.0890771825906038e+07 6.0883612484340362e+07 6.0873886434208430e+07 6.0861252885030381e+07 6.0845146500000358e+07 6.0824970703358799e+07 6.0800084196621239e+07 6.0769712816710465e+07 6.0732927777151853e+07 6.0688643118051387e+07 6.0635588966972359e+07 6.0572271673916377e+07 6.0496945609725945e+07 6.0407537361883074e+07 6.0301211486376360e+07 6.0173098014338948e+07 6.0017781905751303e+07 5.9832540870678619e+07 5.9614476939570807e+07 5.9358964846412212e+07 5.9060333575436838e+07 5.8712153236986369e+07 5.8307267734025970e+07 5.7837804420957178e+07 5.7295219547927745e+07 5.6670397837707877e+07 5.5953828348804682e+07 5.5135865006726950e+07 5.4207108985467061e+07 5.3158919004950859e+07 5.1984073984465972e+07 5.0677565966046073e+07 4.9124946636308096e+07 4.7421223472294249e+07 4.5576189917381115e+07 4.3607427056970559e+07 4.1540691387520723e+07 3.9409393910480157e+07 3.7252972878578335e+07 3.5114162068850242e+07 3.3035471269490831e+07 3.1055228238439687e+07 2.9204215187929835e+07 2.7503994594094325e+07 2.5966351264353793e+07 2.4592458825401496e+07 2.3375854911271445e+07 2.2305369264092904e+07 2.1366754385036819e+07 2.0545169758621614e+07 1.9826134537558693e+07 1.9197112345161673e+07 1.8646536290974215e+07 1.8165244233028814e+07 1.7744714118945371e+07 1.7378756351850789e+07 1.7061243100360200e+07 1.6787058265430812e+07 1.6552228137191495e+07 1.6352583764207179e+07 1.6184107459660806e+07 1.6043854060162233e+07 1.5928183584254192e+07 1.5834420748860709e+07 1.5759503637152350e+07 1.5700781778811211e+07 1.5654672805672869e+07 1.5617694984997949e+07 1.5587233874054313e+07 1.5560818041316718e+07 1.5536035975089032e+07 1.5518546154205430e+07 1.5500901361420067e+07 1.5482903952079065e+07 1.5464055856334586e+07 1.5444612820269944e+07 1.5424018215177080e+07 1.5402951045932999e+07 1.5379551721613688e+07 1.5354509325551674e+07 1.5327363017470874e+07 1.5297752937177218e+07 1.5265241795727627e+07 1.5229336976563063e+07 1.5189333527286414e+07 1.5145304375813058e+07 1.5095597677095613e+07 1.5039867601680361e+07 1.4977305493232735e+07 1.4907041111659640e+07 1.4828177015674282e+07 1.4739813038435725e+07 1.4640956341035394e+07 1.4531733954701288e+07 1.4410244837836880e+07 1.4276902109480150e+07 1.4132014243232507e+07 1.3976717696450714e+07 1.3812946070784092e+07 1.3644379758118119e+07 1.3476497897674909e+07 1.3318264107591052e+07 1.3180964298991159e+07 1.3082258410383407e+07 1.3046753919371134e+07 1.3110206332215298e+07 1.3324653875763441e+07 1.3768953885825127e+07 1.4567941176964467e+07 1.5931951444955932e+07 2.4263606770870099e+06 +1.2227675891964431e+01 6.0794071988237970e+07 6.0787922930122115e+07 6.0777450855325341e+07 6.0763341570369922e+07 6.0748368531970993e+07 6.0737123349285915e+07 6.0731768288900338e+07 6.0728741749340467e+07 6.0724204857182696e+07 6.0717055575143233e+07 6.0707344555531695e+07 6.0694731583926573e+07 6.0678652460105248e+07 6.0658511749594830e+07 6.0633669348481201e+07 6.0603352561890006e+07 6.0566634358690493e+07 6.0522430819325544e+07 6.0469474453023985e+07 6.0406274430605292e+07 6.0331088433803789e+07 6.0241847017750837e+07 6.0135720279941544e+07 6.0007847788120024e+07 5.9852824578729294e+07 5.9667933473084643e+07 5.9450282691408426e+07 5.9195256519064128e+07 5.8897195604695827e+07 5.8549683491118602e+07 5.8145579354132354e+07 5.7677027790258989e+07 5.7135504353986487e+07 5.6511915156648792e+07 5.5796772635340758e+07 5.4980455855264775e+07 5.4053592422205426e+07 5.3007568031092845e+07 5.1835187974264123e+07 5.0531468502309889e+07 4.8982228705161214e+07 4.7282297380763173e+07 4.5441470384771422e+07 4.3477313416754261e+07 4.1415545948600098e+07 3.9289518056180209e+07 3.7138583566564657e+07 3.5005372237101316e+07 3.2932277706779379e+07 3.0957510311963748e+07 2.9111745026652053e+07 2.7416455399132080e+07 2.5883361690991115e+07 2.4513604755889781e+07 2.3300715364114575e+07 2.2233535354349524e+07 2.1297844201273452e+07 2.0478835183411639e+07 1.9762064339768991e+07 1.9135029114617463e+07 1.8586195734850030e+07 1.8106428908969671e+07 1.7687232479358107e+07 1.7322435729134683e+07 1.7005929996672630e+07 1.6732615299583593e+07 1.6498530428937132e+07 1.6299519752556711e+07 1.6131578415349618e+07 1.5991770598597419e+07 1.5876468011086047e+07 1.5783003783125205e+07 1.5708325726196542e+07 1.5649791688482150e+07 1.5603830631443825e+07 1.5566971882996323e+07 1.5536609175591171e+07 1.5510278877678292e+07 1.5485577201155361e+07 1.5468144162684146e+07 1.5450556670642968e+07 1.5432617713675147e+07 1.5413830835620740e+07 1.5394450950295363e+07 1.5373923248794856e+07 1.5352924468191564e+07 1.5329601144279115e+07 1.5304640085020674e+07 1.5277581946877401e+07 1.5248068038450012e+07 1.5215662490995834e+07 1.5179874287921986e+07 1.5140000778767211e+07 1.5096114593237074e+07 1.5046569336938759e+07 1.4991020266913533e+07 1.4928661353214704e+07 1.4858625182170527e+07 1.4780017227246307e+07 1.4691940245241277e+07 1.4593404633764492e+07 1.4484536952447170e+07 1.4363442416568933e+07 1.4230532768030507e+07 1.4086115478597691e+07 1.3931323314579839e+07 1.3768083597596021e+07 1.3600064766165171e+07 1.3432728174995350e+07 1.3275008275463864e+07 1.3138154399469882e+07 1.3039769095992984e+07 1.3004379931633756e+07 1.3067626262770407e+07 1.3281377308577346e+07 1.3724234293015666e+07 1.4520626601272093e+07 1.5880206714213280e+07 2.4172809280992947e+06 +1.2232644214738690e+01 6.0627734728988968e+07 6.0621602219974406e+07 6.0611158513041399e+07 6.0597086568317421e+07 6.0582152214003220e+07 6.0570934056739233e+07 6.0565588476889051e+07 6.0562563781696305e+07 6.0558031500996694e+07 6.0550892284968309e+07 6.0541196297040902e+07 6.0528603898916639e+07 6.0512552025331073e+07 6.0492446382138416e+07 6.0467648058681160e+07 6.0437385827234514e+07 6.0400734410247490e+07 6.0356611926491521e+07 6.0303753265104778e+07 6.0240670414997108e+07 6.0165624365573257e+07 6.0076549635999210e+07 5.9970621859416090e+07 5.9842990129927941e+07 5.9688259552259475e+07 5.9503718054730169e+07 5.9286480039233647e+07 5.9031939330730483e+07 5.8734448228100672e+07 5.8387603690337203e+07 5.7984280145677119e+07 5.7516639409073822e+07 5.6976176310449727e+07 5.6353818315610401e+07 5.5640101199342564e+07 5.4825429118667811e+07 5.3900456054924592e+07 5.2856594613183461e+07 5.1686676385532863e+07 5.0385741750264116e+07 4.8839876760152869e+07 4.7143731678536832e+07 4.5307104673784442e+07 4.3347545981472112e+07 4.1290738008081503e+07 3.9169969917643510e+07 3.7024511194235943e+07 3.4896887733988434e+07 3.2829377257481366e+07 3.0860072963442676e+07 2.9019542895582680e+07 2.7329171977984138e+07 2.5800616195198551e+07 2.4434983822486442e+07 2.3225798888531297e+07 2.2161915386669070e+07 2.1229139763519593e+07 2.0412699052329555e+07 1.9698186113172334e+07 1.9073132141970072e+07 1.8526036405049212e+07 1.8047790395341713e+07 1.7629923781447701e+07 1.7266284676283401e+07 1.6950783534391988e+07 1.6678336444362195e+07 1.6444994662870815e+07 1.6246615838202767e+07 1.6079207909512835e+07 1.5939844375783240e+07 1.5824908601496140e+07 1.5731742106291892e+07 1.5657302401693515e+07 1.5598955630562983e+07 1.5553142051247127e+07 1.5516402020045035e+07 1.5486137421329802e+07 1.5459892401020827e+07 1.5435270871771256e+07 1.5417894444273517e+07 1.5400364079891156e+07 1.5382483398718225e+07 1.5363757553390263e+07 1.5344440627992053e+07 1.5323979627904499e+07 1.5303049029482093e+07 1.5279801476347899e+07 1.5254921508142367e+07 1.5227951273564536e+07 1.5198533246409437e+07 1.5166232973937800e+07 1.5130561034626629e+07 1.5090817072964862e+07 1.5047073421589533e+07 1.4997689119968746e+07 1.4942320508470330e+07 1.4880164175631553e+07 1.4810355525624231e+07 1.4732002937907647e+07 1.4644212084071251e+07 1.4545996588392358e+07 1.4437482540623456e+07 1.4316781393621631e+07 1.4184303516487300e+07 1.4040355382158773e+07 1.3886066077075535e+07 1.3723356661767609e+07 1.3555883657522129e+07 1.3389090688218253e+07 1.3231883126821864e+07 1.3095473836194519e+07 1.2997408149275763e+07 1.2962133963097747e+07 1.3025174835132753e+07 1.3238231487436879e+07 1.3679649805897579e+07 1.4473454971111361e+07 1.5828618313470805e+07 2.4082339642166113e+06 +1.2237612537512948e+01 6.0461791256741866e+07 6.0455674680344567e+07 6.0445259304320805e+07 6.0431224608005606e+07 6.0416328853857078e+07 6.0405137674299195e+07 6.0399801568828464e+07 6.0396778734202869e+07 6.0392251078894511e+07 6.0385121935270950e+07 6.0375440980205297e+07 6.0362869151171379e+07 6.0346844516736835e+07 6.0326773921789847e+07 6.0302019647970609e+07 6.0271811933187626e+07 6.0235227251885369e+07 6.0191185759477250e+07 6.0138424722695827e+07 6.0075458946045287e+07 6.0000552723579682e+07 5.9911644534588858e+07 5.9805915542044029e+07 5.9678524356170699e+07 5.9524086141788743e+07 5.9339893930039451e+07 5.9123068296060413e+07 5.8869012592737071e+07 5.8572090755339853e+07 5.8225913142091803e+07 5.7823369413865648e+07 5.7356638579957359e+07 5.6817234716935270e+07 5.6196106610764377e+07 5.5483813333365843e+07 5.4670784085411541e+07 5.3747699167628504e+07 5.2705998030639946e+07 5.1538538493025929e+07 5.0240384980092704e+07 4.8697890066787675e+07 4.7005525627148375e+07 4.5173092043256246e+07 4.3218124008854166e+07 4.1166266824997216e+07 3.9050748757964082e+07 3.6910755031901337e+07 3.4788707840472214e+07 3.2726769216617845e+07 3.0762915504999481e+07 2.8927608126409043e+07 2.7242143683606468e+07 2.5718114152060058e+07 2.4356595422360811e+07 2.3151104903210785e+07 2.2090508800050959e+07 2.1160640529644720e+07 2.0346760840418007e+07 1.9634499348365776e+07 1.9011420931712475e+07 1.8466057818446431e+07 1.7989328219924219e+07 1.7572787562608615e+07 1.7210302739104550e+07 1.6895803266630746e+07 1.6624221259240450e+07 1.6391620403917970e+07 1.6193871590693092e+07 1.6026995515627552e+07 1.5888074968488205e+07 1.5773504934959218e+07 1.5680635300091514e+07 1.5606433247135472e+07 1.5548273190007657e+07 1.5502606651156694e+07 1.5465984983131768e+07 1.5435818199046018e+07 1.5409658199816657e+07 1.5385116576084800e+07 1.5367796588564845e+07 1.5350323179232812e+07 1.5332500597747438e+07 1.5313835600684624e+07 1.5294581444932794e+07 1.5274186944586892e+07 1.5253324322448086e+07 1.5230152311077995e+07 1.5205353188859226e+07 1.5178470592160398e+07 1.5149148156515345e+07 1.5116952840845862e+07 1.5081396813917845e+07 1.5041782008163612e+07 1.4998180460345006e+07 1.4948956626949001e+07 1.4893767928595513e+07 1.4831813564364685e+07 1.4762231747795073e+07 1.4684133755525023e+07 1.4596628165115697e+07 1.4498731817728404e+07 1.4390570334909871e+07 1.4270261387902198e+07 1.4138213977280773e+07 1.3994733580178414e+07 1.3840945614296587e+07 1.3678764898010181e+07 1.3511836071354616e+07 1.3345585080940453e+07 1.3188888309450334e+07 1.3052922260561742e+07 1.2955175224257942e+07 1.2920015668723492e+07 1.2982851702566776e+07 1.3195216059965335e+07 1.3635200060336929e+07 1.4426425901207382e+07 1.5777185821381349e+07 2.3992196726430496e+06 +1.2242580860287207e+01 6.0296240278417856e+07 6.0290139868123874e+07 6.0279752545158260e+07 6.0265755011516616e+07 6.0250897771779284e+07 6.0239733523549102e+07 6.0234406886622906e+07 6.0231385928687818e+07 6.0226862912603870e+07 6.0219743847650550e+07 6.0210077926334225e+07 6.0197526662006378e+07 6.0181529255483977e+07 6.0161493689596385e+07 6.0136783437082380e+07 6.0106630200228989e+07 6.0070112203922540e+07 6.0026151638188809e+07 5.9973488145337403e+07 5.9910639342921719e+07 5.9835872826447852e+07 5.9747131031622089e+07 5.9641600645269476e+07 5.9514449783498697e+07 5.9360303662968904e+07 5.9176460413461432e+07 5.8960046775103047e+07 5.8706475616776630e+07 5.8410122496228680e+07 5.8064611154334448e+07 5.7662846464241095e+07 5.7197024605674267e+07 5.6658678873214386e+07 5.6038779338546783e+07 5.5327908330123462e+07 5.4516520044153661e+07 5.3595321044725060e+07 5.2555777563313618e+07 5.1390773571944274e+07 5.0095397462402336e+07 4.8556267891117260e+07 4.6867678488873810e+07 4.5039431752694771e+07 4.3089046757552974e+07 4.1042131659280710e+07 3.8931853841199592e+07 3.6797314350849956e+07 3.4680831838650756e+07 3.2624452880335100e+07 3.0666037249900158e+07 2.8835940051987112e+07 2.7155369870136343e+07 2.5635854937762327e+07 2.4278438953900464e+07 2.3076632827967469e+07 2.2019315034625079e+07 2.1092345958598636e+07 2.0281020023840997e+07 1.9571003537014253e+07 1.8949894989389338e+07 1.8406259492890250e+07 1.7931041911492888e+07 1.7515823361215923e+07 1.7154489464357466e+07 1.6840988747472249e+07 1.6570269304618558e+07 1.6338407217903301e+07 1.6141286580475837e+07 1.5974940808068510e+07 1.5836461954337966e+07 1.5722256591851084e+07 1.5629682947107572e+07 1.5555717846921904e+07 1.5497743952625863e+07 1.5452224018149136e+07 1.5415720360158945e+07 1.5385651097445108e+07 1.5359575863431923e+07 1.5335113904118555e+07 1.5317850186037213e+07 1.5300433559604121e+07 1.5282668902160011e+07 1.5264064569392342e+07 1.5244872993514989e+07 1.5224544791830873e+07 1.5203749940611891e+07 1.5180653242633369e+07 1.5155934721962169e+07 1.5129139498194801e+07 1.5099912365063509e+07 1.5067821688874705e+07 1.5032381223907189e+07 1.4992895183533221e+07 1.4949435309822587e+07 1.4900371459523933e+07 1.4845362130404698e+07 1.4783609124190398e+07 1.4714253455296656e+07 1.4636409288791535e+07 1.4549188099383533e+07 1.4451609935416307e+07 1.4343799951839417e+07 1.4223882019131288e+07 1.4092263773641737e+07 1.3949249699731559e+07 1.3795961557412697e+07 1.3634307941794820e+07 1.3467921647594413e+07 1.3302210997529244e+07 1.3146023471884642e+07 1.3010499324742226e+07 1.2913069975711131e+07 1.2878024704212917e+07 1.2940656519110106e+07 1.3152330674528006e+07 1.3590884692975855e+07 1.4379539007132586e+07 1.5725908817518843e+07 2.3902379409444500e+06 +1.2247549183061466e+01 6.0131080841378458e+07 6.0124997251307853e+07 6.0114637521966241e+07 6.0100677103905387e+07 6.0085858288539797e+07 6.0074720926416233e+07 6.0069403752382331e+07 6.0066384686989419e+07 6.0061866323843032e+07 6.0054757343698628e+07 6.0045106457040511e+07 6.0032575752800338e+07 6.0016605562832743e+07 5.9996605006517611e+07 5.9971938746872418e+07 5.9941839949031822e+07 5.9905388586680003e+07 5.9861508882700160e+07 5.9808942852807194e+07 5.9746210924891032e+07 5.9671583993017100e+07 5.9583008445303291e+07 5.9477676486538067e+07 5.9350765728673004e+07 5.9196911431517035e+07 5.9013416819684483e+07 5.8797414789563902e+07 5.8544327714634001e+07 5.8248542760878049e+07 5.7903697034915902e+07 5.7502710602406465e+07 5.7037796789228462e+07 5.6500508079292968e+07 5.5881835795739554e+07 5.5172385482670747e+07 5.4362636283982851e+07 5.3443320970986150e+07 5.2405932491435342e+07 5.1243380897927687e+07 4.9950778468296997e+07 4.8415009499776050e+07 4.6730189526497141e+07 4.4906123062419839e+07 4.2960313486987926e+07 4.0918331771678500e+07 3.8813284432281598e+07 3.6684188423472263e+07 3.4573259011597432e+07 3.2522427545926239e+07 3.0569437512605894e+07 2.8744538006355681e+07 2.7068849892893020e+07 2.5553837929768927e+07 2.4200513816595405e+07 2.3002382083756760e+07 2.1948333531638470e+07 2.1024255510438465e+07 2.0215476079823215e+07 1.9507698171838637e+07 1.8888553821561575e+07 1.8346640947292365e+07 1.7872930999828812e+07 1.7459030716643207e+07 1.7098844399796307e+07 1.6786339531952690e+07 1.6516480141855596e+07 1.6285354671577740e+07 1.6088860378959326e+07 1.5923043362155203e+07 1.5785004911935594e+07 1.5671163153466016e+07 1.5578884630846476e+07 1.5505155786356073e+07 1.5447367505138678e+07 1.5401993740069862e+07 1.5365607739942970e+07 1.5335635706069261e+07 1.5309644982129198e+07 1.5285262446756767e+07 1.5268054828067886e+07 1.5250694812832851e+07 1.5232987904258590e+07 1.5214444052345699e+07 1.5195314867078090e+07 1.5175052763466014e+07 1.5154325478375584e+07 1.5131303866017699e+07 1.5106665703144541e+07 1.5079957588067271e+07 1.5050825469217211e+07 1.5018839116068449e+07 1.4983513863563286e+07 1.4944156199109884e+07 1.4900837571212841e+07 1.4851933220198147e+07 1.4797102717855765e+07 1.4735550460716423e+07 1.4666420255593594e+07 1.4588829147221550e+07 1.4501891498758804e+07 1.4404630555899447e+07 1.4297171008745058e+07 1.4177642907841848e+07 1.4046452529634034e+07 1.3903903368676165e+07 1.3751113538381167e+07 1.3589985429407442e+07 1.3424140026962107e+07 1.3258968083127668e+07 1.3103288263431767e+07 1.2968204681639591e+07 1.2871092059155490e+07 1.2836160726022325e+07 1.2898588939545026e+07 1.3109574980249213e+07 1.3546703341257313e+07 1.4332793905274443e+07 1.5674786882359430e+07 2.3812886570473714e+06 +1.2252517505835725e+01 5.9966312624579623e+07 5.9960245562844783e+07 5.9949913543333650e+07 5.9935990207464024e+07 5.9921209725744866e+07 5.9910099204823777e+07 5.9904791488137737e+07 5.9901774331178553e+07 5.9897260634463601e+07 5.9890161745283544e+07 5.9880525893986076e+07 5.9868015745076858e+07 5.9852072760057725e+07 5.9832107193837591e+07 5.9807484898267463e+07 5.9777440500351317e+07 5.9741055720659018e+07 5.9697256813141957e+07 5.9644788164812423e+07 5.9582173011361852e+07 5.9507685542152509e+07 5.9419276093850955e+07 5.9314142383550569e+07 5.9187471508460477e+07 5.9033908763436958e+07 5.8850762463494837e+07 5.8635171653052211e+07 5.8382568198249221e+07 5.8087350859327540e+07 5.7743170092063107e+07 5.7342961134224504e+07 5.6878954433921590e+07 5.6342721635512002e+07 5.5725275279282875e+07 5.5017244084366992e+07 5.4209132094272926e+07 5.3291698231527045e+07 5.2256462095754080e+07 5.1096359747146085e+07 4.9806527269475967e+07 4.8274114159980603e+07 4.6593058003575243e+07 4.4773165233398825e+07 4.2831923457311235e+07 4.0794866423923075e+07 3.8695039797154948e+07 3.6571376523120284e+07 3.4465988643562138e+07 3.2420692511709966e+07 3.0473115608650349e+07 2.8653401324739281e+07 2.6982583108404923e+07 2.5472062506657563e+07 2.4122819411143355e+07 2.2928352092715044e+07 2.1877563733469360e+07 2.0956368646324296e+07 2.0150128486648038e+07 1.9444582746592417e+07 1.8827396935848512e+07 1.8287201701549776e+07 1.7814995015690923e+07 1.7402409169206828e+07 1.7043367094111454e+07 1.6731855176054671e+07 1.6462853333231932e+07 1.6232462332685746e+07 1.6036592558468882e+07 1.5871302754097832e+07 1.5733703420747370e+07 1.5620224202005913e+07 1.5528239935711183e+07 1.5454746651637187e+07 1.5397143435174391e+07 1.5351915405677622e+07 1.5315646712140044e+07 1.5285771615394648e+07 1.5259865147051148e+07 1.5235561795794761e+07 1.5218410106885524e+07 1.5201106531633886e+07 1.5183457197233789e+07 1.5164973643201763e+07 1.5145906659783913e+07 1.5125710454239400e+07 1.5105050531040406e+07 1.5082103777137920e+07 1.5057545728957506e+07 1.5030924459043236e+07 1.5001887067040982e+07 1.4970004721328935e+07 1.4934794332756056e+07 1.4895564655787466e+07 1.4852386846583351e+07 1.4803641512323162e+07 1.4748989295788141e+07 1.4687637180415956e+07 1.4618731757004986e+07 1.4541392941225350e+07 1.4454737975957261e+07 1.4357793294522639e+07 1.4250683123813853e+07 1.4131543675419994e+07 1.4000779870127065e+07 1.3858694215692857e+07 1.3706401189969312e+07 1.3545796997896681e+07 1.3380490850941589e+07 1.3215855983626295e+07 1.3060682334137794e+07 1.2926037984938512e+07 1.2829241130838284e+07 1.2794423391338972e+07 1.2856648619406750e+07 1.3066948627038512e+07 1.3502655643385198e+07 1.4286190212855898e+07 1.5623819597287865e+07 2.3723717092380519e+06 +1.2257485828609983e+01 5.9801934707096241e+07 5.9795884347660869e+07 5.9785579948004298e+07 5.9771693640555009e+07 5.9756951405434586e+07 5.9745867680779971e+07 5.9740569416107930e+07 5.9737554183321700e+07 5.9733045166352555e+07 5.9725956374171183e+07 5.9716335558884382e+07 5.9703845960406668e+07 5.9687930168666273e+07 5.9667999572721578e+07 5.9643421212417357e+07 5.9613431174918108e+07 5.9577112926355980e+07 5.9533394749746703e+07 5.9481023401256114e+07 5.9418524921736449e+07 5.9344176792796716e+07 5.9255933295789711e+07 5.9150997654016271e+07 5.9024566439906374e+07 5.8871294974697389e+07 5.8688496659713462e+07 5.8473316679005899e+07 5.8221196379624434e+07 5.7926546102031060e+07 5.7583029634064473e+07 5.7183597365709215e+07 5.6720496843149059e+07 5.6185318842358872e+07 5.5569097086454377e+07 5.4862483428843379e+07 5.4056006764744356e+07 5.3140452111920692e+07 5.2107365657329515e+07 5.0949709396202706e+07 4.9662643138140261e+07 4.8133581139554664e+07 4.6456283184275761e+07 4.4640557527391277e+07 4.2703875929555655e+07 4.0671734878549099e+07 3.8577119202687077e+07 3.6458877924192421e+07 3.4359020019782968e+07 3.2319247077255540e+07 3.0377070854819577e+07 2.8562529343531910e+07 2.6896568874353927e+07 2.5390528048221696e+07 2.4045355139420927e+07 2.2854542278106689e+07 2.1807005083641931e+07 2.0888684828526493e+07 2.0084976723710701e+07 1.9381656756129690e+07 1.8766423840883754e+07 1.8227941276579205e+07 1.7757233490866642e+07 1.7345958260233589e+07 1.6988057096947700e+07 1.6677535236715229e+07 1.6409388441978788e+07 1.6179729769829836e+07 1.5984482692216761e+07 1.5819718561020503e+07 1.5682557061162952e+07 1.5569439320553988e+07 1.5477748447029559e+07 1.5404490029848592e+07 1.5347071331239058e+07 1.5301988604634134e+07 1.5265836867322184e+07 1.5236058416763704e+07 1.5210235950222025e+07 1.5186011543909205e+07 1.5168915615634905e+07 1.5151668309601732e+07 1.5134076375161350e+07 1.5115652936524335e+07 1.5096647966728311e+07 1.5076517459759546e+07 1.5055924694751248e+07 1.5033052572773686e+07 1.5008574396827845e+07 1.4982039709271783e+07 1.4953096757448385e+07 1.4921318104417410e+07 1.4886222232173845e+07 1.4847120155333100e+07 1.4804082738832921e+07 1.4755495940117512e+07 1.4701021469867153e+07 1.4639868890616437e+07 1.4571187568674956e+07 1.4494100282018425e+07 1.4407727144514114e+07 1.4311097767405663e+07 1.4204335916037356e+07 1.4085583944050558e+07 1.3955245420799663e+07 1.3813621870277211e+07 1.3661824145717358e+07 1.3501742285130542e+07 1.3336973761801925e+07 1.3172874345708057e+07 1.3018205334829308e+07 1.2883998889043259e+07 1.2787516847781368e+07 1.2752812358112823e+07 1.2814835214947943e+07 1.3024451265532056e+07 1.3458741238373013e+07 1.4239727547941290e+07 1.5573006544583715e+07 2.3634869861613936e+06 +1.2262454151384242e+01 5.9637946963504113e+07 5.9631912670482285e+07 5.9621636113508910e+07 5.9607786721535265e+07 5.9593082650701195e+07 5.9582025676605940e+07 5.9576736858729258e+07 5.9573723565607876e+07 5.9569219241651684e+07 5.9562140552330658e+07 5.9552534773512438e+07 5.9540065720508784e+07 5.9524177110201754e+07 5.9504281464571148e+07 5.9479747010386914e+07 5.9449811293775849e+07 5.9413559524569191e+07 5.9369922012903132e+07 5.9317647882180862e+07 5.9255265975659378e+07 5.9181057064130634e+07 5.9092979369666234e+07 5.8988241615935199e+07 5.8862049840100847e+07 5.8709069381495304e+07 5.8526618723472692e+07 5.8311849181380495e+07 5.8060211571146548e+07 5.7766127799493089e+07 5.7423274969481654e+07 5.7024618603198022e+07 5.6562423320629351e+07 5.6028299000635259e+07 5.5413300514832020e+07 5.4708102810152754e+07 5.3903259585518993e+07 5.2989581898027606e+07 5.1958642457705349e+07 5.0803429122142904e+07 4.9519125346996136e+07 4.7993409706905045e+07 4.6319864333462387e+07 4.4508299206853352e+07 4.2576170165547729e+07 4.0548936398984864e+07 3.8459521916747510e+07 3.6346691902083315e+07 3.4252352426663809e+07 3.2218090543155134e+07 3.0281302568990462e+07 2.8471921400327377e+07 2.6810806549646318e+07 2.5309233935409054e+07 2.3968120404444281e+07 2.2780952064357840e+07 2.1736657026774433e+07 2.0821203520416889e+07 2.0020020271478757e+07 1.9318919696293827e+07 1.8705634046326920e+07 1.8168859194322463e+07 1.7699645958098352e+07 1.7289677532022171e+07 1.6932913958978660e+07 1.6623379271823114e+07 1.6356085032271573e+07 1.6127156552589180e+07 1.5932530354366932e+07 1.5768290360998549e+07 1.5631565414492378e+07 1.5518808093109317e+07 1.5427409750978449e+07 1.5354385508986378e+07 1.5297150782723954e+07 1.5252212927428156e+07 1.5216177796970945e+07 1.5186495702415271e+07 1.5160756984559150e+07 1.5136611284667043e+07 1.5119570948328912e+07 1.5102379741211750e+07 1.5084845032976605e+07 1.5066481527759260e+07 1.5047538383853737e+07 1.5027473376516758e+07 1.5006947566554967e+07 1.4984149850572990e+07 1.4959751305080431e+07 1.4933302937767591e+07 1.4904454140230164e+07 1.4872778865994154e+07 1.4837797163399165e+07 1.4798822300377378e+07 1.4755924851739246e+07 1.4707496108672310e+07 1.4653198846638357e+07 1.4592245199482717e+07 1.4523787300634619e+07 1.4446950781698879e+07 1.4360858618820282e+07 1.4264543591516990e+07 1.4158129005253913e+07 1.4039763336733581e+07 1.3909848808174865e+07 1.3768685962706845e+07 1.3617382039995991e+07 1.3457820929723239e+07 1.3293588402581383e+07 1.3130022816791655e+07 1.2975856917083578e+07 1.2842087049125126e+07 1.2745918867715603e+07 1.2711327285001881e+07 1.2773148383203538e+07 1.2982082547146885e+07 1.3414959766004073e+07 1.4193405529415838e+07 1.5522347307452219e+07 2.3546343768199203e+06 +1.2267422474158501e+01 5.9474348175301239e+07 5.9468330098476879e+07 5.9458081382466801e+07 5.9444268774363190e+07 5.9429602785276011e+07 5.9418572514710836e+07 5.9413293138440043e+07 5.9410281800368972e+07 5.9405782182447642e+07 5.9398713601854928e+07 5.9389122859885864e+07 5.9376674347197331e+07 5.9360812906264588e+07 5.9340952190849036e+07 5.9316461613526031e+07 5.9286580177905120e+07 5.9250394835996464e+07 5.9206837923123203e+07 5.9154660927708320e+07 5.9092395492864192e+07 5.9018325675326847e+07 5.8930413634098954e+07 5.8825873587182201e+07 5.8699921026325390e+07 5.8547231300139479e+07 5.8365127970042840e+07 5.8150768473920897e+07 5.7899613085135981e+07 5.7606095262369543e+07 5.7263905407080203e+07 5.6866024153105929e+07 5.6404733170300744e+07 5.5871661411435425e+07 5.5257884862213261e+07 5.4554101522531226e+07 5.3750889846940726e+07 5.2839086876152530e+07 5.1810291778905958e+07 5.0657518202589005e+07 4.9375973169310883e+07 4.7853599131053276e+07 4.6183800716576032e+07 4.4376389534996316e+07 4.2448805427921526e+07 4.0426470249551408e+07 3.8342247208110526e+07 3.6234817733229190e+07 3.4145985151623227e+07 3.2117222211229078e+07 3.0185810070229881e+07 2.8381576833861951e+07 2.6725295494303476e+07 2.5228179550373670e+07 2.3891114610429775e+07 2.2707580877056669e+07 2.1666519008655585e+07 2.0753924186462503e+07 1.9955258611476474e+07 1.9256371064067475e+07 1.8645027062908005e+07 1.8109954977703378e+07 1.7642231951134507e+07 1.7233566527828183e+07 1.6877937231762700e+07 1.6569386840208251e+07 1.6302942669218451e+07 1.6074742251439394e+07 1.5880735119996952e+07 1.5717017732955975e+07 1.5580728062929977e+07 1.5468330104568964e+07 1.5377223434697334e+07 1.5304432677919576e+07 1.5247381379956381e+07 1.5202587965530317e+07 1.5166669093405064e+07 1.5137083065457026e+07 1.5111427843860429e+07 1.5087360612502078e+07 1.5070375699855477e+07 1.5053240421830881e+07 1.5035762766503790e+07 1.5017459013217436e+07 1.4998577507970456e+07 1.4978577801874777e+07 1.4958118744366793e+07 1.4935395209051820e+07 1.4911076052873904e+07 1.4884713744403837e+07 1.4855958816060400e+07 1.4824386607547054e+07 1.4789518728902496e+07 1.4750670694406830e+07 1.4707912789949872e+07 1.4659641623919126e+07 1.4605521033482386e+07 1.4544765716030711e+07 1.4476530563733112e+07 1.4399944053165540e+07 1.4314132014106302e+07 1.4218130384681236e+07 1.4112062012113642e+07 1.3994081477297734e+07 1.3864589659529105e+07 1.3723886124070995e+07 1.3573074507928429e+07 1.3414032571112862e+07 1.3250334417119006e+07 1.3087301045104409e+07 1.2933636733232109e+07 1.2800302121105934e+07 1.2704446849155691e+07 1.2669967831448521e+07 1.2731587781933252e+07 1.2939842124052705e+07 1.3371310866845492e+07 1.4147223776980709e+07 1.5471841469993548e+07 2.3458137705727597e+06 +1.2272390796932759e+01 5.9311138078413829e+07 5.9305136209535673e+07 5.9294915059040703e+07 5.9281139130068809e+07 5.9266511133507706e+07 5.9255507517605685e+07 5.9250237577634044e+07 5.9247228210057378e+07 5.9242733311014600e+07 5.9235674844954342e+07 5.9226099140069485e+07 5.9213671162379660e+07 5.9197836878661074e+07 5.9178011073241793e+07 5.9153564343239211e+07 5.9123737148520201e+07 5.9087618181564569e+07 5.9044141800997496e+07 5.8992061858107574e+07 5.8929912793226980e+07 5.8855981945810027e+07 5.8768235408007041e+07 5.8663892886047110e+07 5.8538179315923102e+07 5.8385780047167972e+07 5.8204023714729957e+07 5.7990073870894350e+07 5.7739400234344617e+07 5.7446447801622137e+07 5.7104920255824603e+07 5.6707813322215930e+07 5.6247425696332403e+07 5.5715405376021259e+07 5.5102849426785700e+07 5.4400478860540405e+07 5.3598896839890182e+07 5.2688966332991838e+07 5.1662312903234385e+07 5.0511975915552191e+07 4.9233185878830299e+07 4.7714148681564957e+07 4.6048091599827446e+07 4.4244827775728531e+07 4.2321780980106682e+07 4.0304335695501454e+07 3.8225294346529588e+07 3.6123254695090681e+07 3.4039917483192436e+07 3.2016641384309530e+07 3.0090592678751297e+07 2.8291494984039281e+07 2.6640035069608219e+07 2.5147364276437365e+07 2.3814337162710074e+07 2.2634428142891582e+07 2.1596590476185206e+07 2.0686846292250685e+07 1.9890691226338416e+07 1.9194010357427213e+07 1.8584602402347792e+07 1.8051228150690231e+07 1.7584991004736017e+07 1.7177624791913453e+07 1.6823126467864081e+07 1.6515557501663711e+07 1.6249960918869549e+07 1.6022486437806886e+07 1.5829096565105770e+07 1.5665900256793723e+07 1.5530044589604592e+07 1.5418004940750657e+07 1.5327189086156350e+07 1.5254631126447218e+07 1.5197762714099478e+07 1.5153113311232962e+07 1.5117310349868640e+07 1.5087820099905735e+07 1.5062248122800725e+07 1.5038259122725198e+07 1.5021329466007106e+07 1.5004249947675865e+07 1.4986829172463782e+07 1.4968584990105160e+07 1.4949764936801590e+07 1.4929830334076380e+07 1.4909437826975970e+07 1.4886788247619243e+07 1.4862548240270417e+07 1.4836271729964005e+07 1.4807610386445850e+07 1.4776140931470562e+07 1.4741386531971266e+07 1.4702664941782940e+07 1.4660046158967478e+07 1.4611932092639441e+07 1.4557987638664959e+07 1.4497430050159222e+07 1.4429416969683424e+07 1.4353079710194515e+07 1.4267546946428107e+07 1.4171857765522346e+07 1.4066134558106592e+07 1.3948537990400605e+07 1.3819467603004307e+07 1.3679221986273920e+07 1.3528901185470307e+07 1.3370376849487692e+07 1.3207211449991466e+07 1.3044708679596480e+07 1.2891544436354009e+07 1.2758643761649521e+07 1.2663100451326003e+07 1.2628733657605555e+07 1.2690153069652041e+07 1.2897729649166616e+07 1.3327794182254421e+07 1.4101181911181504e+07 1.5421488617228596e+07 2.3370250571346227e+06 +1.2277359119707018e+01 5.9148315803371839e+07 5.9142330061917469e+07 5.9132136431207664e+07 5.9118397122080758e+07 5.9103807020386040e+07 5.9092830008123189e+07 5.9087569499166802e+07 5.9084562117195681e+07 5.9080071949820511e+07 5.9073023603882857e+07 5.9063462936246917e+07 5.9051055488156416e+07 5.9035248349335007e+07 5.9015457433395542e+07 5.8991054521054268e+07 5.8961281526913024e+07 5.8925228882300831e+07 5.8881832967268877e+07 5.8829849993773982e+07 5.8767817196693443e+07 5.8694025195111945e+07 5.8606444010284074e+07 5.8502298830848873e+07 5.8376824026567213e+07 5.8224714939161696e+07 5.8043305273096353e+07 5.7829764686461546e+07 5.7579572331489764e+07 5.7287184728407480e+07 5.6946318824840397e+07 5.6549985417457700e+07 5.6090500203160107e+07 5.5559530196005553e+07 5.4948193506888703e+07 5.4247234119223021e+07 5.3447279855456024e+07 5.2539219555645309e+07 5.1514705113605320e+07 5.0366801539610744e+07 4.9090762749986485e+07 4.7575057628664859e+07 4.5912736250098594e+07 4.4113613193841867e+07 4.2195096086411662e+07 4.0182532002912931e+07 3.8108662602729484e+07 3.6012002066180162e+07 3.3934148710979030e+07 3.1916347366408419e+07 2.9995649715962477e+07 2.8201675192012247e+07 2.6555024637996331e+07 2.5066787498116788e+07 2.3737787467847686e+07 2.2561493289747041e+07 2.1526870877345555e+07 2.0619969304449450e+07 1.9826317599734265e+07 1.9131837075427525e+07 1.8524359577424403e+07 1.7992678238243628e+07 1.7527922654648598e+07 1.7121851869478852e+07 1.6768481220797060e+07 1.6461890816899793e+07 1.6197139348199144e+07 1.5970388684039675e+07 1.5777614266624246e+07 1.5614937513277577e+07 1.5479514578511247e+07 1.5367832188352780e+07 1.5277306294262182e+07 1.5204980445220375e+07 1.5148294377233027e+07 1.5103788557742938e+07 1.5068101160482345e+07 1.5038706400645919e+07 1.5013217416961927e+07 1.4989306411566813e+07 1.4972431843434805e+07 1.4955407915886324e+07 1.4938043848435925e+07 1.4919859056496497e+07 1.4901100268923072e+07 1.4881230572241228e+07 1.4860904414037935e+07 1.4838328566542285e+07 1.4814167468181306e+07 1.4787976496065011e+07 1.4759408453785192e+07 1.4728041441006223e+07 1.4693400176800385e+07 1.4654804647712737e+07 1.4612324565150721e+07 1.4564367122506298e+07 1.4510598271272045e+07 1.4450237812580116e+07 1.4382446131044108e+07 1.4306357367375417e+07 1.4221103032689033e+07 1.4125725353516545e+07 1.4020346265531693e+07 1.3903132501501059e+07 1.3774482267518472e+07 1.3634693181999465e+07 1.3484861709353095e+07 1.3326853405852182e+07 1.3164219146589961e+07 1.3002245370007858e+07 1.2849579680319363e+07 1.2717111628169540e+07 1.2621879334209131e+07 1.2587624424379995e+07 1.2648843905614931e+07 1.2855744776159024e+07 1.3284409354355888e+07 1.4055279553389281e+07 1.5371288335058190e+07 2.3282681265747799e+06 +1.2282327442481277e+01 5.8985880472331487e+07 5.8979910978243604e+07 5.8969744799312197e+07 5.8956042079815544e+07 5.8941489771174490e+07 5.8930539309063144e+07 5.8925288225719251e+07 5.8922282844464421e+07 5.8917797421402872e+07 5.8910759201120287e+07 5.8901213570745908e+07 5.8888826646729171e+07 5.8873046640258975e+07 5.8853290593225390e+07 5.8828931468610309e+07 5.8799212634560838e+07 5.8763226259497285e+07 5.8719910742844537e+07 5.8668024655268013e+07 5.8606108023440368e+07 5.8532454742905125e+07 5.8445038760022074e+07 5.8341090740035899e+07 5.8215854475866087e+07 5.8064035293001659e+07 5.7882971960933663e+07 5.7669840235188879e+07 5.7420128689594440e+07 5.7128305353973016e+07 5.6788100423510343e+07 5.6392539746021837e+07 5.5933955995456167e+07 5.5404035173273899e+07 5.4793916401337698e+07 5.4094366593824610e+07 5.3296038185171828e+07 5.2389845831599548e+07 5.1367467693297490e+07 5.0221994353765063e+07 4.8948703057636000e+07 4.7436325243233494e+07 4.5777733934821106e+07 4.3982745054675587e+07 4.2068750011907563e+07 4.0061058438815124e+07 3.7992351248422600e+07 3.5901059126024775e+07 3.3828678125660256e+07 3.1816339462756824e+07 2.9900980504372366e+07 2.8112116800057996e+07 2.6470263563075468e+07 2.4986448601061098e+07 2.3661464933530934e+07 2.2488775746644668e+07 2.1457359661290321e+07 2.0553292690832000e+07 1.9762137216467541e+07 1.9069850718142990e+07 1.8464298101931997e+07 1.7934304766346633e+07 1.7471026437583786e+07 1.7066247306744061e+07 1.6714001045030899e+07 1.6408386347618766e+07 1.6144477525142217e+07 1.5918448563423518e+07 1.5726287802356288e+07 1.5564129084123695e+07 1.5429137614591818e+07 1.5317811434970455e+07 1.5227574648813188e+07 1.5155480225811308e+07 1.5098975962334827e+07 1.5054613299137317e+07 1.5019041120260982e+07 1.4989741563461652e+07 1.4964335322770581e+07 1.4940502076100083e+07 1.4923682429676352e+07 1.4906713924446326e+07 1.4889406392878402e+07 1.4871280811339203e+07 1.4852583103790004e+07 1.4832778116346231e+07 1.4812518106092628e+07 1.4790015766970040e+07 1.4765933338412197e+07 1.4739827645191394e+07 1.4711352621370081e+07 1.4680087740249112e+07 1.4645559268409606e+07 1.4607089418276258e+07 1.4564747615718087e+07 1.4516946322016712e+07 1.4463352541268611e+07 1.4403188614877300e+07 1.4335617661205908e+07 1.4259776640160717e+07 1.4174799890620578e+07 1.4079732768957771e+07 1.3974696757515103e+07 1.3857864636868097e+07 1.3729633282814518e+07 1.3590299344750507e+07 1.3440955717085524e+07 1.3283461881970730e+07 1.3121357153035317e+07 1.2959910766836952e+07 1.2807742119707372e+07 1.2675705378824014e+07 1.2580783158524279e+07 1.2546639793400232e+07 1.2607659949810736e+07 1.2813887159492539e+07 1.3241156026055513e+07 1.4009516325781118e+07 1.5321240210297313e+07 2.3195428693160387e+06 +1.2287295765255536e+01 5.8823831823351055e+07 5.8817878302984715e+07 5.8807739467086308e+07 5.8794073325339004e+07 5.8779558710873127e+07 5.8768634743431263e+07 5.8763393080227770e+07 5.8760389714721568e+07 5.8755909048402727e+07 5.8748880959223799e+07 5.8739350366012312e+07 5.8726983960342288e+07 5.8711231073723197e+07 5.8691509874676257e+07 5.8667194507721804e+07 5.8637529793004677e+07 5.8601609634414673e+07 5.8558374448765852e+07 5.8506585163260944e+07 5.8444784593770020e+07 5.8371269909010649e+07 5.8284018976611823e+07 5.8180267932223611e+07 5.8055269981733225e+07 5.7903740425621420e+07 5.7723023094109185e+07 5.7510299831634328e+07 5.7261068621891804e+07 5.6969808989884913e+07 5.6630264361521192e+07 5.6235475615279309e+07 5.5777792378140531e+07 5.5248919609967664e+07 5.4640017409111530e+07 5.3941875579921514e+07 5.3145171120905913e+07 5.2240844448734134e+07 5.1220599926082112e+07 5.0077553637585789e+07 4.8807006077227175e+07 4.7297950796661295e+07 4.5643083922300667e+07 4.3852222624500409e+07 4.1942742022471234e+07 3.9939914271108933e+07 3.7876359556221850e+07 3.5790425155112147e+07 3.3723505019077979e+07 3.1716616979565606e+07 2.9806584367701981e+07 2.8022819151638705e+07 2.6385751209659830e+07 2.4906346972155422e+07 2.3585368968617357e+07 2.2416274943734296e+07 2.1388056278308421e+07 2.0486815920284804e+07 1.9698149562359385e+07 1.9008050786749374e+07 1.8404417490684360e+07 1.7876107261964869e+07 1.7414301891256452e+07 1.7010810650864184e+07 1.6659685495996706e+07 1.6355043656446066e+07 1.6091975018520981e+07 1.5866665650109921e+07 1.5675116751075082e+07 1.5513474551925052e+07 1.5378913283665249e+07 1.5267942269110641e+07 1.5177993740484057e+07 1.5106130060668059e+07 1.5049807063243320e+07 1.5005587130385360e+07 1.4970129825074781e+07 1.4940925184989233e+07 1.4915601437575638e+07 1.4891845714292422e+07 1.4875080823156701e+07 1.4858167572225465e+07 1.4840916405131614e+07 1.4822849854465919e+07 1.4804213041740075e+07 1.4784472567271855e+07 1.4764278504555020e+07 1.4741849450914092e+07 1.4717845453624707e+07 1.4691824780725658e+07 1.4663442493306192e+07 1.4632279434182692e+07 1.4597863412713882e+07 1.4559518860415585e+07 1.4517314918737317e+07 1.4469669300533839e+07 1.4416250059439084e+07 1.4356282069457870e+07 1.4288931174408782e+07 1.4213337144820491e+07 1.4128637138787238e+07 1.4033879632981818e+07 1.3929185658033634e+07 1.3812734023620052e+07 1.3684920279439781e+07 1.3546040108825138e+07 1.3397182847000506e+07 1.3240201920397930e+07 1.3078625116259029e+07 1.2917704521347716e+07 1.2766031409873512e+07 1.2634424672523117e+07 1.2539811585733835e+07 1.2505779427066131e+07 1.2566600862977171e+07 1.2772156454333954e+07 1.3198033841060728e+07 1.3963891851383496e+07 1.5271343830670202e+07 2.3108491761337412e+06 +1.2292264088029794e+01 5.8662168716955654e+07 5.8656231543015793e+07 5.8646119765008867e+07 5.8632490173129201e+07 5.8618013164324023e+07 5.8607115634419098e+07 5.8601883385712892e+07 5.8598882050781511e+07 5.8594406153632179e+07 5.8587388200925171e+07 5.8577872644722037e+07 5.8565526751551136e+07 5.8549800971885614e+07 5.8530114599914141e+07 5.8505842960424401e+07 5.8476232324009791e+07 5.8440378328504711e+07 5.8397223406181201e+07 5.8345530838654563e+07 5.8283846228051692e+07 5.8210470013350673e+07 5.8123383979401559e+07 5.8019829726255707e+07 5.7895069862291694e+07 5.7743829654180914e+07 5.7563457988712952e+07 5.7351142790713482e+07 5.7102391441741578e+07 5.6811694947882578e+07 5.6472809948624149e+07 5.6078792332924642e+07 5.5622008656466998e+07 5.5094182808522694e+07 5.4486495829649024e+07 5.3789760373453550e+07 5.2994677954954788e+07 5.2092214695407651e+07 5.1074101096102729e+07 4.9933478671047889e+07 4.8665671084741697e+07 4.7159933561025396e+07 4.5508785481407650e+07 4.3722045170238376e+07 4.1817071384940632e+07 3.9819098768576965e+07 3.7760686799797006e+07 3.5680099435089089e+07 3.3618628684033424e+07 3.1617179224273331e+07 2.9712460630826212e+07 2.7933781591404937e+07 2.6301486943737585e+07 2.4826481999455120e+07 2.3509498983150359e+07 2.2343990312322166e+07 2.1318960179764803e+07 2.0420538462769888e+07 1.9634354124327049e+07 1.8946436783432636e+07 1.8344717259563010e+07 1.7818085253097672e+07 1.7357748554397807e+07 1.6955541449995961e+07 1.6605534130096423e+07 1.6301862306939349e+07 1.6039631398142803e+07 1.5815039519270211e+07 1.5624100692426600e+07 1.5462973500186207e+07 1.5328841172465803e+07 1.5218224280166954e+07 1.5128563160862710e+07 1.5056929543135304e+07 1.5000787274702057e+07 1.4956709647373250e+07 1.4921366871709248e+07 1.4892256862777431e+07 1.4867015359576643e+07 1.4843336924988383e+07 1.4826626623171899e+07 1.4809768458993027e+07 1.4792573485424545e+07 1.4774565786569536e+07 1.4755989683961203e+07 1.4736313526747737e+07 1.4716185211686581e+07 1.4693829221247535e+07 1.4669903417331634e+07 1.4643967506886296e+07 1.4615677674596382e+07 1.4584616128634974e+07 1.4550312216477808e+07 1.4512092581924846e+07 1.4470026083136458e+07 1.4422535668257659e+07 1.4369290437447485e+07 1.4309517789606584e+07 1.4242386285725156e+07 1.4167038498494670e+07 1.4082614396603901e+07 1.3988165567531893e+07 1.3883812591824872e+07 1.3767740289649520e+07 1.3640342888741894e+07 1.3501915109320410e+07 1.3353542738196446e+07 1.3197073164467312e+07 1.3036022683944901e+07 1.2875626285563668e+07 1.2724447206934696e+07 1.2593269168919401e+07 1.2498964278046651e+07 1.2465042988488602e+07 1.2525666306602471e+07 1.2730552316636417e+07 1.3155042443837387e+07 1.3918405754038660e+07 1.5221598784792699e+07 2.3021869381547356e+06 +1.2297232410804053e+01 5.8500890752623416e+07 5.8494969658155635e+07 5.8484885104222707e+07 5.8471291933880329e+07 5.8456852455535866e+07 5.8445981305254608e+07 5.8440758465349168e+07 5.8437759175827958e+07 5.8433288060085200e+07 5.8426280249106333e+07 5.8416779729508117e+07 5.8404454342936717e+07 5.8388755657310233e+07 5.8369104091291077e+07 5.8344876148691885e+07 5.8315319549430236e+07 5.8279531663396135e+07 5.8236456936473899e+07 5.8184861002343468e+07 5.8123292246969506e+07 5.8050054376170352e+07 5.7963133088015184e+07 5.7859775441135436e+07 5.7735253435734630e+07 5.7584302296032861e+07 5.7404275960969396e+07 5.7192368427445628e+07 5.6944096462804854e+07 5.6653962539958067e+07 5.6315736494951695e+07 5.5922489206923448e+07 5.5466604135917284e+07 5.4939824071678020e+07 5.4333350962550476e+07 5.3638020270774916e+07 5.2844557979919799e+07 5.1943955860279702e+07 5.0927970488124907e+07 4.9789768734810889e+07 4.8524697356779575e+07 4.7022272808999926e+07 4.5374837881702110e+07 4.3592211959596917e+07 4.1691737366809480e+07 3.9698611200956419e+07 3.7645332253716208e+07 3.5570081248562209e+07 3.3514048414544489e+07 3.1518025505420949e+07 2.9618608619764779e+07 2.7845003465185929e+07 2.6217470132484850e+07 2.4746853072166815e+07 2.3433854388315070e+07 2.2271921284871072e+07 2.1250070818174783e+07 2.0354459789377559e+07 1.9570750390379876e+07 1.8885008211419921e+07 1.8285196925426874e+07 1.7760238268750593e+07 1.7301365966680616e+07 1.6900439253223531e+07 1.6551546504653661e+07 1.6248841863613890e+07 1.5987446234731583e+07 1.5763569746911015e+07 1.5573239207003275e+07 1.5412625513342014e+07 1.5278920868618058e+07 1.5168657058440214e+07 1.5079282502408417e+07 1.5007878267447816e+07 1.4951916192352904e+07 1.4907980446813568e+07 1.4872751857802903e+07 1.4843736195239611e+07 1.4818576687864007e+07 1.4794975307905819e+07 1.4778319429881945e+07 1.4761516185357315e+07 1.4744377234824350e+07 1.4726428209233226e+07 1.4707912632548593e+07 1.4688300597379729e+07 1.4668237830658928e+07 1.4645954681729013e+07 1.4622106833945332e+07 1.4596255428785382e+07 1.4568057771104030e+07 1.4537097430304145e+07 1.4502905287311176e+07 1.4464810191441115e+07 1.4422880718716122e+07 1.4375545036275240e+07 1.4322473287802171e+07 1.4262895389426105e+07 1.4195982611104278e+07 1.4120880319114937e+07 1.4036731284288745e+07 1.3942590195399782e+07 1.3838577184510857e+07 1.3722883063695425e+07 1.3595900742890963e+07 1.3457923982118905e+07 1.3310035030569252e+07 1.3154075258286512e+07 1.2993549504539300e+07 1.2833675712266387e+07 1.2682989167744806e+07 1.2552238528408352e+07 1.2458240898390029e+07 1.2424430141526045e+07 1.2484855942907654e+07 1.2689074403087271e+07 1.3112181479629859e+07 1.3873057658410724e+07 1.5172004662183058e+07 2.2935560468563754e+06 +1.2302200733578312e+01 5.8339997358870104e+07 5.8334092208826140e+07 5.8324034867534786e+07 5.8310477919807643e+07 5.8296075907847784e+07 5.8285231079306751e+07 5.8280017642417133e+07 5.8277020413063124e+07 5.8272554090861931e+07 5.8265556426697209e+07 5.8256070943343081e+07 5.8243766057274394e+07 5.8228094452606484e+07 5.8208477671201825e+07 5.8184293394905560e+07 5.8154790791338518e+07 5.8119068960918993e+07 5.8076074361103214e+07 5.8024574975523554e+07 5.7963121971257739e+07 5.7890022317639649e+07 5.7803265622228406e+07 5.7700104395884447e+07 5.7575820020407222e+07 5.7425157668705322e+07 5.7245476327481247e+07 5.7033976057109237e+07 5.6786182998862624e+07 5.6496611078269735e+07 5.6159043310847245e+07 5.5766565545457587e+07 5.5311578122200735e+07 5.4785842702451207e+07 5.4180582107820272e+07 5.3486654568517536e+07 5.2694810488832772e+07 5.1796067232642405e+07 5.0782207387168683e+07 4.9646423109855242e+07 4.8384084170408852e+07 4.6884967813876130e+07 4.5241240393480435e+07 4.3462722261077315e+07 4.1566739236534074e+07 3.9578450838879652e+07 3.7530295193571270e+07 3.5460369879181907e+07 3.3409763505620122e+07 3.1419155132660087e+07 2.9525027661691487e+07 2.7756484119992558e+07 2.6133700144274179e+07 2.4667459580677833e+07 2.3358434596481562e+07 2.2200067294972688e+07 2.1181387647171903e+07 2.0288579372260805e+07 1.9507337849571578e+07 1.8823764575052280e+07 1.8225856006200004e+07 1.7702565838910796e+07 1.7245153668806188e+07 1.6845503610654131e+07 1.6497722177993059e+07 1.6195981891930068e+07 1.5935419099929215e+07 1.5712255910007471e+07 1.5522531876300817e+07 1.5362430176706318e+07 1.5229151960644513e+07 1.5119240195120351e+07 1.5030151358513769e+07 1.4958975828699781e+07 1.4903193412700757e+07 1.4859399126343345e+07 1.4824284381899588e+07 1.4795362781672852e+07 1.4770285022396671e+07 1.4746760463646987e+07 1.4730158844334040e+07 1.4713410352824608e+07 1.4696327255308248e+07 1.4678436724905511e+07 1.4659981490434540e+07 1.4640433382637277e+07 1.4620435965478189e+07 1.4598225436981002e+07 1.4574455308727061e+07 1.4548688152373891e+07 1.4520582389545843e+07 1.4489722946762167e+07 1.4455642233705586e+07 1.4417671298509112e+07 1.4375878436111426e+07 1.4328697016505400e+07 1.4275798223855052e+07 1.4216414483891202e+07 1.4149719767296290e+07 1.4074862225500660e+07 1.3990987422926715e+07 1.3897153140182704e+07 1.3793479062496120e+07 1.3678161975284694e+07 1.3551593474843381e+07 1.3414066363925423e+07 1.3266659364801668e+07 1.3111207846769515e+07 1.2951205227292014e+07 1.2791852454990681e+07 1.2641656949917641e+07 1.2511332412134690e+07 1.2417641110449210e+07 1.2383940550766423e+07 1.2444169434849501e+07 1.2647722371137608e+07 1.3069450594460521e+07 1.3827847189972678e+07 1.5122561053252093e+07 2.2849563940655072e+06 +1.2307169056352571e+01 5.8179487601205520e+07 5.8173598444603175e+07 5.8163568352461055e+07 5.8150047449901074e+07 5.8135682843921967e+07 5.8124864280102529e+07 5.8119660240392022e+07 5.8116665085806325e+07 5.8112203569176503e+07 5.8105216056993589e+07 5.8095745609265439e+07 5.8083461217479430e+07 5.8067816680556245e+07 5.8048234662256673e+07 5.8024094021379210e+07 5.7994645371942453e+07 5.7958989543042913e+07 5.7916075001776174e+07 5.7864672079566427e+07 5.7803334721814103e+07 5.7730373158338659e+07 5.7643780902002066e+07 5.7540815909946702e+07 5.7416768935035951e+07 5.7266395089948200e+07 5.7087058404859424e+07 5.6875964995099872e+07 5.6628650364019699e+07 5.6339639875247963e+07 5.6002729706778005e+07 5.5611020656862319e+07 5.5156929921406835e+07 5.4632238004180767e+07 5.4028188565776303e+07 5.3335662563701555e+07 5.2545434775120437e+07 5.1648548101993382e+07 5.0636811078901745e+07 4.9503441077787369e+07 4.8243830803384095e+07 4.6748017849640161e+07 4.5107992287719987e+07 4.3333575343868360e+07 4.1442076263336271e+07 3.9458616953800224e+07 3.7415574895894729e+07 3.5350964611660682e+07 3.3305773253423136e+07 3.1320567416839845e+07 2.9431717084968533e+07 2.7668222904006947e+07 2.6050176348619718e+07 2.4588300916581672e+07 2.3283239021156564e+07 2.2128427777383454e+07 2.1112910121502448e+07 2.0222896684673768e+07 1.9444115992030103e+07 1.8762705379643086e+07 1.8166694020796541e+07 1.7645067494585302e+07 1.7189111202439182e+07 1.6790734073344007e+07 1.6444060709363054e+07 1.6143281958288120e+07 1.5883549566327661e+07 1.5661097586470056e+07 1.5471978282720082e+07 1.5312387076533910e+07 1.5179534038004285e+07 1.5069973282288956e+07 1.4981169323402571e+07 1.4910221822929647e+07 1.4854618533140223e+07 1.4810965284462754e+07 1.4775964043418640e+07 1.4747136222260926e+07 1.4722139964020390e+07 1.4698691993691593e+07 1.4682144468466174e+07 1.4665450563776176e+07 1.4648423149709290e+07 1.4630590936900070e+07 1.4612195861448098e+07 1.4592711486889077e+07 1.4572779221033985e+07 1.4550641092487643e+07 1.4526948447807638e+07 1.4501265284471137e+07 1.4473251137510788e+07 1.4442492286405256e+07 1.4408522665004821e+07 1.4370675513472911e+07 1.4329018846816815e+07 1.4281991221709574e+07 1.4229264859800849e+07 1.4170074688800599e+07 1.4103597371919541e+07 1.4028983837263674e+07 1.3945382434406260e+07 1.3851854026333181e+07 1.3748517853022084e+07 1.3633576654772075e+07 1.3507420718388887e+07 1.3370341892225148e+07 1.3223415382362301e+07 1.3068470575571921e+07 1.2908989502179576e+07 1.2750156168050505e+07 1.2600450211803762e+07 1.2470550481978714e+07 1.2377164578646326e+07 1.2343573881532185e+07 1.2403606446135106e+07 1.2606495878995378e+07 1.3026849435142644e+07 1.3782773975045551e+07 1.5073267549322767e+07 2.2763878719574613e+06 +1.2312137379126829e+01 5.8019360950738758e+07 5.8013487600651659e+07 5.8003484793235548e+07 5.7989999851884089e+07 5.7975672586155012e+07 5.7964880231276661e+07 5.7959685582867272e+07 5.7956692517648004e+07 5.7952235818598039e+07 5.7945258463172473e+07 5.7935803050513163e+07 5.7923539146623977e+07 5.7907921664112136e+07 5.7888374387250751e+07 5.7864277350786924e+07 5.7834882613556921e+07 5.7799292731839910e+07 5.7756458180234455e+07 5.7705151635926865e+07 5.7643929819821216e+07 5.7571106218902081e+07 5.7484678247464314e+07 5.7381909302835450e+07 5.7258099498322032e+07 5.7108013877622649e+07 5.6929021509979382e+07 5.6718334557122856e+07 5.6471497872513004e+07 5.6183048243564799e+07 5.5846794993673094e+07 5.5455853849933967e+07 5.5002658839809500e+07 5.4479009280504681e+07 5.3876169637121163e+07 5.3185043553690702e+07 5.2396430132595144e+07 5.1501397758316375e+07 5.0491780849387862e+07 4.9360821920686953e+07 4.8103936533943653e+07 4.6611422190842338e+07 4.4975092836052820e+07 4.3204770478031680e+07 4.1317747717324071e+07 3.9339108818217106e+07 3.7301170638216622e+07 3.5241864731688909e+07 3.3202076955166839e+07 3.1222261669870038e+07 2.9338676219140310e+07 2.7580219166609570e+07 2.5966898116253629e+07 2.4509376472643074e+07 2.3208267077045217e+07 2.2057002167969860e+07 2.1044637697057653e+07 2.0157411201008119e+07 1.9381084308974065e+07 1.8701830131596681e+07 1.8107710489196505e+07 1.7587742767802674e+07 1.7133238110221308e+07 1.6736130193316879e+07 1.6390561658968305e+07 1.6090741630027866e+07 1.5831837207421908e+07 1.5610094355067467e+07 1.5421578009572180e+07 1.5262495799943231e+07 1.5130066690986738e+07 1.5020855912928537e+07 1.4932335992233383e+07 1.4861615847013338e+07 1.4806191151950480e+07 1.4762678520571034e+07 1.4727790442649636e+07 1.4699056118041068e+07 1.4674141114445509e+07 1.4650769500373324e+07 1.4634275905063234e+07 1.4617636421444381e+07 1.4600664521739263e+07 1.4582890449414834e+07 1.4564555350263411e+07 1.4545134515342265e+07 1.4525267203057529e+07 1.4503201254608557e+07 1.4479585858174261e+07 1.4453986432775456e+07 1.4426063623448985e+07 1.4395405058528911e+07 1.4361546191395886e+07 1.4323822447546333e+07 1.4282301563189961e+07 1.4235427265519559e+07 1.4182872810692748e+07 1.4123875620803511e+07 1.4057615043410884e+07 1.3983244774885217e+07 1.3899915941449162e+07 1.3806692479095433e+07 1.3703693184131205e+07 1.3589126733319785e+07 1.3463382108083224e+07 1.3326750205286434e+07 1.3180302725523435e+07 1.3025863091146864e+07 1.2866901979974383e+07 1.2708586506510617e+07 1.2559368612530731e+07 1.2429892400564885e+07 1.2336810968120767e+07 1.2303329799898533e+07 1.2363166641185094e+07 1.2565394585601022e+07 1.2984377649241118e+07 1.3737837640751172e+07 1.5024123742606366e+07 2.2678503730550534e+06 +1.2317105701901088e+01 5.7859616663587973e+07 5.7853759195625752e+07 5.7843783476861790e+07 5.7830334457973748e+07 5.7816044456915416e+07 5.7805278256604441e+07 5.7800092993650481e+07 5.7797102032264538e+07 5.7792650162610121e+07 5.7785682968876615e+07 5.7776242590462327e+07 5.7763999168010563e+07 5.7748408726352267e+07 5.7728896169156916e+07 5.7704842705844387e+07 5.7675501838811420e+07 5.7639977849646121e+07 5.7597223218592554e+07 5.7546012966337502e+07 5.7484906586541682e+07 5.7412220820217364e+07 5.7325956978949152e+07 5.7223383894250639e+07 5.7099811029235214e+07 5.6950013349910975e+07 5.6771364959950417e+07 5.6561084059130229e+07 5.6314724838819683e+07 5.6026835496118724e+07 5.5691238482515588e+07 5.5301064433685638e+07 5.4848764184057929e+07 5.4326155835418329e+07 5.3724524622791499e+07 5.3034796836219467e+07 5.2247795855450496e+07 5.1354615492145792e+07 5.0347115985206902e+07 4.9218564921231776e+07 4.7964400640954427e+07 4.6475180112700321e+07 4.4842541310910337e+07 4.3076306934341200e+07 4.1193752869441375e+07 3.9219925705431402e+07 3.7187081699049465e+07 3.5133069526106536e+07 3.3098673909200672e+07 3.1124237204872020e+07 2.9245904394863203e+07 2.7492472258327074e+07 2.5883864819101684e+07 2.4430685642771609e+07 2.3133518179980092e+07 2.1985789903768554e+07 2.0976569830812000e+07 2.0092122396700732e+07 1.9318242292664211e+07 1.8641138338344838e+07 1.8048904932357553e+07 1.7530591191558491e+07 1.7077533935814839e+07 1.6681691523548210e+07 1.6337224587995719e+07 1.6038360475414611e+07 1.5780281597652351e+07 1.5559245795539539e+07 1.5371330641102508e+07 1.5212755934977517e+07 1.5080749510848906e+07 1.4971887680907670e+07 1.4883650961043064e+07 1.4813157498724608e+07 1.4757910868297761e+07 1.4714538434933621e+07 1.4679763180765547e+07 1.4651122070955958e+07 1.4626288076290037e+07 1.4602992586936362e+07 1.4586552757791635e+07 1.4569967529959006e+07 1.4553050975973668e+07 1.4535334867493583e+07 1.4517059562452028e+07 1.4497702074068548e+07 1.4477899518201564e+07 1.4455905530548660e+07 1.4432367147689076e+07 1.4406851205830423e+07 1.4379019456652809e+07 1.4348460873273166e+07 1.4314712423933608e+07 1.4277111712828236e+07 1.4235726198415145e+07 1.4189004762386367e+07 1.4136621692426216e+07 1.4077816897386512e+07 1.4011772401058922e+07 1.3937644659647072e+07 1.3854587567616060e+07 1.3761668124549126e+07 1.3659004684704633e+07 1.3544811842909008e+07 1.3419477279318677e+07 1.3283290942202326e+07 1.3137321037306875e+07 1.2983385040729031e+07 1.2824942312213359e+07 1.2667143126184838e+07 1.2518411811957052e+07 1.2389357831265440e+07 1.2296579944773823e+07 1.2263207972648831e+07 1.2322849685192460e+07 1.2524418150649173e+07 1.2942034885117777e+07 1.3693037815029575e+07 1.4975129226223625e+07 2.2593437902275803e+06 +1.2322074024675347e+01 5.7700253946177021e+07 5.7694412501263693e+07 5.7684463731885366e+07 5.7671050597766772e+07 5.7656797778909624e+07 5.7646057680091977e+07 5.7640881796598151e+07 5.7637892953472786e+07 5.7633445925087072e+07 5.7626488897758693e+07 5.7617063552692503e+07 5.7604840605059490e+07 5.7589277190547541e+07 5.7569799331048712e+07 5.7545789409504317e+07 5.7516502370312750e+07 5.7481044218900338e+07 5.7438369439004950e+07 5.7387255392624281e+07 5.7326264343461901e+07 5.7253716283304743e+07 5.7167616416921712e+07 5.7065239004087493e+07 5.6941902847085685e+07 5.6792392825112008e+07 5.6614088072088778e+07 5.6404212817151271e+07 5.6158330577784613e+07 5.5871000946076334e+07 5.5536059484664492e+07 5.5146651717337936e+07 5.4695245261028573e+07 5.4173676973147340e+07 5.3573252824159890e+07 5.2884921709388323e+07 5.2099531238321312e+07 5.1208200594339818e+07 5.0202815773356579e+07 4.9076669362537287e+07 4.7825222403810419e+07 4.6339290891047657e+07 4.4710336985303171e+07 4.2948183984319948e+07 4.1070090991415642e+07 3.9101066889757447e+07 3.7073307357886776e+07 3.5024578282674603e+07 3.2995563414922830e+07 3.1026493336008590e+07 2.9153400943996064e+07 2.7404981530898694e+07 2.5801075830256589e+07 2.4352227822088994e+07 2.3058991746998910e+07 2.1914790422939207e+07 2.0908705980894633e+07 2.0027029748309519e+07 1.9255589436466180e+07 1.8580629508367315e+07 1.7990276872303944e+07 1.7473612299884390e+07 1.7021998223832004e+07 1.6627417617998136e+07 1.6284049058527146e+07 1.5986138063693762e+07 1.5728882312408280e+07 1.5508551488548649e+07 1.5321235762426393e+07 1.5163167070579581e+07 1.5031582089691972e+07 1.4923068180996915e+07 1.4835113826736245e+07 1.4764846376740694e+07 1.4709777282234391e+07 1.4666544628686856e+07 1.4631881859817080e+07 1.4603333683798589e+07 1.4578580453001615e+07 1.4555360857459441e+07 1.4538974631198412e+07 1.4522443494303029e+07 1.4505582117858084e+07 1.4487923797092203e+07 1.4469708104433130e+07 1.4450413770033019e+07 1.4430675773941556e+07 1.4408753528398471e+07 1.4385291925079042e+07 1.4359859213056492e+07 1.4332118247319827e+07 1.4301659341621839e+07 1.4268020974545520e+07 1.4230542922249384e+07 1.4189292366549477e+07 1.4142723327649139e+07 1.4090511121712700e+07 1.4031898136881664e+07 1.3966069065000545e+07 1.3892183113704354e+07 1.3809396937295634e+07 1.3716780589608062e+07 1.3614451984423863e+07 1.3500631616303463e+07 1.3375705868275657e+07 1.3239963742858365e+07 1.3094469961567666e+07 1.2941036072319321e+07 1.2783110151195191e+07 1.2625825683650209e+07 1.2477579470685996e+07 1.2348946438187916e+07 1.2256471175227661e+07 1.2223208067316089e+07 1.2282655244060554e+07 1.2483566234597575e+07 1.2899820791887626e+07 1.3648374126655638e+07 1.4926283594153143e+07 2.2508680166898179e+06 +1.2327042347449606e+01 5.7541272482930131e+07 5.7535446827097058e+07 5.7525524904491298e+07 5.7512147593412839e+07 5.7497931875390492e+07 5.7487217825885184e+07 5.7482051315861449e+07 5.7479064605312891e+07 5.7474622429916888e+07 5.7467675573594272e+07 5.7458265260940634e+07 5.7446062781383768e+07 5.7430526380252205e+07 5.7411083196232811e+07 5.7387116784866057e+07 5.7357883531075060e+07 5.7322491162314631e+07 5.7279896163871698e+07 5.7228878236820884e+07 5.7168002412247516e+07 5.7095591929332644e+07 5.7009655882205725e+07 5.6907473952420637e+07 5.6784374271219879e+07 5.6635151621785507e+07 5.6457190163893633e+07 5.6247720147602953e+07 5.6002314404256970e+07 5.5715543906809092e+07 5.5381257311732575e+07 5.4992615010369331e+07 5.4542101377981648e+07 5.4021571998277768e+07 5.3422353542934008e+07 5.2735417471711837e+07 5.1951635576222077e+07 5.1062152356230274e+07 5.0058879501369692e+07 4.8935134528319396e+07 4.7686401102560915e+07 4.6203753802384511e+07 4.4578479133091152e+07 4.2820400900335722e+07 4.0946761355917230e+07 3.8982531646336205e+07 3.6959846895199917e+07 3.4916390290315509e+07 3.2892744772906546e+07 3.0929029378670599e+07 2.9061165199546564e+07 2.7317746337238792e+07 2.5718530524012342e+07 2.4274002406887840e+07 2.2984687196266692e+07 2.1844003164809253e+07 2.0841045606516361e+07 1.9962132733459685e+07 1.9193125234774318e+07 1.8520303151195176e+07 1.7931825832056820e+07 1.7416805627781667e+07 1.6966630519868512e+07 1.6573308031595765e+07 1.6231034633648474e+07 1.5934073965004984e+07 1.5677638927960977e+07 1.5458011015631741e+07 1.5271292959618898e+07 1.5113728796603534e+07 1.4982564020563923e+07 1.4874397008839272e+07 1.4786724187134543e+07 1.4716682080589050e+07 1.4661789994678292e+07 1.4618696703874964e+07 1.4584146082723681e+07 1.4555690560265163e+07 1.4531017848922968e+07 1.4507873916912977e+07 1.4491541130684109e+07 1.4475063920344077e+07 1.4458257553709898e+07 1.4440656844991144e+07 1.4422500583500957e+07 1.4403269211044019e+07 1.4383595578621766e+07 1.4361744857096180e+07 1.4338359799909836e+07 1.4313010064721702e+07 1.4285359606439019e+07 1.4255000075431239e+07 1.4221471455972405e+07 1.4184115689570751e+07 1.4142999682496697e+07 1.4096582577452837e+07 1.4044540716165632e+07 1.3986118958482550e+07 1.3920504656175299e+07 1.3846859760008436e+07 1.3764343675703788e+07 1.3672029501994789e+07 1.3570034713786289e+07 1.3456585687113166e+07 1.3332067511919970e+07 1.3196768247894347e+07 1.3051749142904650e+07 1.2898815834693626e+07 1.2741405149978774e+07 1.2584633836248366e+07 1.2436871250072857e+07 1.2308657886180563e+07 1.2216484326829508e+07 1.2183329752173806e+07 1.2242582984434191e+07 1.2442838498630438e+07 1.2857735019455045e+07 1.3603846205200819e+07 1.4877586441306591e+07 2.2424229460010286e+06 +1.2332010670223864e+01 5.7382671358064823e+07 5.7376861611978047e+07 5.7366966326428913e+07 5.7353624762715399e+07 5.7339446070071258e+07 5.7328758018394999e+07 5.7323600875758745e+07 5.7320616312012255e+07 5.7316179001316890e+07 5.7309242320526958e+07 5.7299847039145403e+07 5.7287665020851940e+07 5.7272155619074218e+07 5.7252747088252060e+07 5.7228824155285552e+07 5.7199644644132026e+07 5.7164318002680033e+07 5.7121802715743110e+07 5.7070880821244717e+07 5.7010120114813842e+07 5.6937847079805203e+07 5.6852074695617504e+07 5.6750088059666172e+07 5.6627224621224180e+07 5.6478289058747105e+07 5.6300670553170055e+07 5.6091605367027663e+07 5.5846675633563526e+07 5.5560463692048877e+07 5.5226831275601871e+07 5.4838953622715451e+07 5.4389331842421316e+07 5.3869840215786323e+07 5.3271826081133172e+07 5.2586283422043383e+07 5.1804108164606579e+07 5.0916470069693983e+07 4.9915306457288526e+07 4.8793959702785052e+07 4.7547936017793313e+07 4.6068568123892412e+07 4.4446967028752372e+07 4.2692956955512337e+07 4.0823763236412965e+07 3.8864319251282543e+07 3.6846699592436455e+07 3.4808504838889129e+07 3.2790217284704704e+07 3.0831844649373248e+07 2.8969196495682966e+07 2.7230766031420253e+07 2.5636228275805894e+07 2.4196008794632990e+07 2.2910603947107404e+07 2.1773427569825809e+07 2.0773588168040179e+07 1.9897430830900520e+07 1.9130849183082741e+07 1.8460158777389474e+07 1.7873551335645702e+07 1.7360170711270664e+07 1.6911430370519228e+07 1.6519362320231961e+07 1.6178180877396403e+07 1.5882167750446705e+07 1.5626551021546146e+07 1.5407623959279088e+07 1.5221501819618361e+07 1.5064440703792164e+07 1.4933694897352533e+07 1.4825873760994794e+07 1.4738481640920021e+07 1.4668664210709443e+07 1.4613948607426604e+07 1.4570994263373740e+07 1.4536555453291232e+07 1.4508192304898795e+07 1.4483599869276479e+07 1.4460531371146839e+07 1.4444251862554777e+07 1.4427828414811132e+07 1.4411076890718095e+07 1.4393533618852068e+07 1.4375436607804539e+07 1.4356268005781412e+07 1.4336658541459184e+07 1.4314879126459705e+07 1.4291570382646129e+07 1.4266303371958353e+07 1.4238743145910438e+07 1.4208482687409809e+07 1.4175063481852043e+07 1.4137829629442019e+07 1.4096847762009626e+07 1.4050582128824502e+07 1.3998710094200287e+07 1.3940478982169354e+07 1.3875078796383807e+07 1.3801674222354695e+07 1.3719427408861479e+07 1.3627414490260823e+07 1.3525752504119013e+07 1.3412673689733906e+07 1.3288561848048188e+07 1.3153704098785937e+07 1.3009158226727873e+07 1.2856723977405494e+07 1.2699826962394634e+07 1.2543567242071120e+07 1.2396286812231306e+07 1.2268491840820322e+07 1.2176619067675270e+07 1.2143572696183763e+07 1.2202632573710971e+07 1.2402234604701934e+07 1.2815777218478257e+07 1.3559453681083141e+07 1.4829037363476317e+07 2.2340084720639605e+06 +1.2336978992998123e+01 5.7224449849591218e+07 5.7218655958253570e+07 5.7208787335712604e+07 5.7195481425802536e+07 5.7181339687128156e+07 5.7170677582224101e+07 5.7165529800752304e+07 5.7162547397986241e+07 5.7158114963563733e+07 5.7151188462715670e+07 5.7141808211402342e+07 5.7129646647323355e+07 5.7114164230867520e+07 5.7094790330737710e+07 5.7070910844227925e+07 5.7041785032827072e+07 5.7006524063099742e+07 5.6964088417416051e+07 5.6913262468309321e+07 5.6852616773195744e+07 5.6780481056352474e+07 5.6694872178368285e+07 5.6593080646344744e+07 5.6470453216918863e+07 5.6321804454927593e+07 5.6144528557929635e+07 5.5935867792265601e+07 5.5691413581140734e+07 5.5405759615671009e+07 5.5072780688392542e+07 5.4685666864419393e+07 5.4236935962165870e+07 5.3718480930911161e+07 5.3121669741126880e+07 5.2437518859678634e+07 5.1656948299321130e+07 5.0771153026876658e+07 4.9772095929567456e+07 4.8653144170725554e+07 4.7409826430695437e+07 4.5933733133331910e+07 4.4315799947498702e+07 4.2565851423691161e+07 4.0701095907233067e+07 3.8746428981581703e+07 3.6733864732072540e+07 3.4700921219381511e+07 3.2687980253083512e+07 3.0734938465681836e+07 2.8877494167775273e+07 2.7144039968738239e+07 2.5554168462270435e+07 2.4118246383946124e+07 2.2836741420012243e+07 2.1703063079583611e+07 2.0706333126915563e+07 1.9832923520438138e+07 1.9068760777926430e+07 1.8400195898568533e+07 1.7815452908153962e+07 1.7303707087374091e+07 1.6856397323354781e+07 1.6465580040745735e+07 1.6125487354712086e+07 1.5830418992052699e+07 1.5575618171306282e+07 1.5357389902863687e+07 1.5171861930291880e+07 1.5015302383792205e+07 1.4884974314882884e+07 1.4777498034880629e+07 1.4690385787675023e+07 1.4620792368406693e+07 1.4566252723169344e+07 1.4523436910995062e+07 1.4489109576198867e+07 1.4460838523120966e+07 1.4436326120136524e+07 1.4413332826858137e+07 1.4397106433932411e+07 1.4380736585298907e+07 1.4364039736940250e+07 1.4346553727209236e+07 1.4328515786371343e+07 1.4309409763788937e+07 1.4289864272525456e+07 1.4268155947146563e+07 1.4244923284565786e+07 1.4219738746754935e+07 1.4192268478484359e+07 1.4162106791122580e+07 1.4128796666645957e+07 1.4091684357348725e+07 1.4050836221680399e+07 1.4004721599613180e+07 1.3953018875086060e+07 1.3894977828821052e+07 1.3829791108267695e+07 1.3756626125376541e+07 1.3674647763646577e+07 1.3582935183765665e+07 1.3481604987540400e+07 1.3368895259362409e+07 1.3245188515244747e+07 1.3110770937773217e+07 1.2966696859207805e+07 1.2814760150786983e+07 1.2658375243045144e+07 1.2502625559958415e+07 1.2355825819994407e+07 1.2228447968450574e+07 1.2136875066595376e+07 1.2103936569105605e+07 1.2162803679992884e+07 1.2361754215481034e+07 1.2773947040419808e+07 1.3515196185498033e+07 1.4780635957348797e+07 2.2256244891238641e+06 +1.2341947315772382e+01 5.7066607316569373e+07 5.7060829149688423e+07 5.7050987267845474e+07 5.7037716909738712e+07 5.7023612050978512e+07 5.7012975842214055e+07 5.7007837415517502e+07 5.7004857187744349e+07 5.7000429641288750e+07 5.6993513324618705e+07 5.6984148102040805e+07 5.6972006985108897e+07 5.6956551539677881e+07 5.6937212247641258e+07 5.6913376175393157e+07 5.6884304020635180e+07 5.6849108666873045e+07 5.6806752591851339e+07 5.6756022500685118e+07 5.6695491709683202e+07 5.6623493180868238e+07 5.6538047651729070e+07 5.6436451033166163e+07 5.6314059378457680e+07 5.6165697129560933e+07 5.5988763496365540e+07 5.5780506740422398e+07 5.5536527562752694e+07 5.5251430991876669e+07 5.4919104862580054e+07 5.4532754045973100e+07 5.4084913045355447e+07 5.3567493449276820e+07 5.2971883825718172e+07 5.2289123084221438e+07 5.1510155276663244e+07 5.0626200520558245e+07 4.9629247207324885e+07 4.8512687217449702e+07 4.7272071623100035e+07 4.5799248109158576e+07 4.4184977165278547e+07 4.2439083579602577e+07 4.0578758643548027e+07 3.8628860115244530e+07 3.6621341597500779e+07 3.4593638723823398e+07 3.2586032981833745e+07 3.0638310146408394e+07 2.8786057552301791e+07 2.7057567505626075e+07 2.5472350461268809e+07 2.4040714574654758e+07 2.2763099036670603e+07 2.1632909136814319e+07 2.0639279945714831e+07 1.9768610283015218e+07 1.9006859516912542e+07 1.8340414027371321e+07 1.7757530075648483e+07 1.7247414294102315e+07 1.6801530926915988e+07 1.6411960750955380e+07 1.6072953631507879e+07 1.5778827262778990e+07 1.5524839956304964e+07 1.5307308430718847e+07 1.5122372880396198e+07 1.4966313429136753e+07 1.4836401868849637e+07 1.4729269428823205e+07 1.4642436227857219e+07 1.4573066155864958e+07 1.4518701945469415e+07 1.4476024251374345e+07 1.4441808057000808e+07 1.4413628821239991e+07 1.4389196208466286e+07 1.4366277891635867e+07 1.4350104452863844e+07 1.4333788040264716e+07 1.4317145701283395e+07 1.4299716779460030e+07 1.4281737729088884e+07 1.4262694095478281e+07 1.4243212382764794e+07 1.4221574930696169e+07 1.4198418117844207e+07 1.4173315801962795e+07 1.4145935217735488e+07 1.4115872000984438e+07 1.4082670625686193e+07 1.4045679489623116e+07 1.4004964678952442e+07 1.3959000608526301e+07 1.3907466678922715e+07 1.3849615120107502e+07 1.3784641215284206e+07 1.3711715094521357e+07 1.3630004367744341e+07 1.3538591212702200e+07 1.3437591797000431e+07 1.3325250032017704e+07 1.3201947152875230e+07 1.3067968407903230e+07 1.2924364687306534e+07 1.2772924005930291e+07 1.2617049647284396e+07 1.2461808449509349e+07 1.2315487936975522e+07 1.2188525936120508e+07 1.2097251993145518e+07 1.2064421041368123e+07 1.2123095972136427e+07 1.2321396994425416e+07 1.2732244137474209e+07 1.3471073350483583e+07 1.4732381820489291e+07 2.2172708917674879e+06 +1.2346915638546641e+01 5.6909143260737516e+07 5.6903380586813621e+07 5.6893565455810443e+07 5.6880330547381066e+07 5.6866262486238092e+07 5.6855652123498447e+07 5.6850523044964671e+07 5.6847545006139778e+07 5.6843122359138794e+07 5.6836216230839804e+07 5.6826866035629973e+07 5.6814745358567588e+07 5.6799316869767815e+07 5.6780012162981108e+07 5.6756219472746037e+07 5.6727200931231722e+07 5.6692071137385115e+07 5.6649794562269159e+07 5.6599160241213746e+07 5.6538744246861905e+07 5.6466882775308132e+07 5.6381600437359206e+07 5.6280198541127466e+07 5.6158042426067568e+07 5.6009966402163349e+07 5.5833374686957605e+07 5.5625521528772749e+07 5.5382016894381225e+07 5.5097477135154217e+07 5.4765803110843197e+07 5.4380214478082038e+07 5.3933262400522225e+07 5.3416877076766029e+07 5.2822467638015166e+07 5.2141095395764790e+07 5.1363728393340677e+07 5.0481611843852907e+07 4.9486759580003418e+07 4.8372588128840536e+07 4.7134670877358481e+07 4.5665112330504969e+07 4.4054497958746225e+07 4.2312652698732242e+07 4.0456750721410424e+07 3.8511611931103900e+07 3.6509129473195553e+07 3.4486656645223752e+07 3.2484374775891565e+07 3.0541959011454850e+07 2.8694885986979820e+07 2.6971347999707446e+07 2.5390773651815496e+07 2.3963412767751191e+07 2.2689676219882455e+07 2.1562965185378578e+07 2.0572428088155705e+07 1.9704490600613527e+07 1.8945144898716871e+07 1.8280812677513015e+07 1.7699782365237027e+07 1.7191291870471396e+07 1.6746830730726117e+07 1.6358504009636192e+07 1.6020579274660112e+07 1.5727392136527814e+07 1.5474215956541814e+07 1.5257379128041662e+07 1.5073034259626757e+07 1.4917473433292601e+07 1.4787977155834498e+07 1.4681187542026866e+07 1.4594632562813655e+07 1.4525485176159425e+07 1.4471295878763184e+07 1.4428755890038950e+07 1.4394650502099793e+07 1.4366562806417363e+07 1.4342209742095632e+07 1.4319366173909564e+07 1.4303245528209865e+07 1.4286982389050500e+07 1.4270394393545825e+07 1.4253022385856312e+07 1.4235102046708958e+07 1.4216120612112883e+07 1.4196702483981157e+07 1.4175135689486554e+07 1.4152054495493749e+07 1.4127034151280252e+07 1.4099742978123931e+07 1.4069777932261262e+07 1.4036684975148434e+07 1.3999814643444471e+07 1.3959232752132520e+07 1.3913418775105705e+07 1.3862053126668697e+07 1.3804390478568273e+07 1.3739628741722090e+07 1.3666940756077422e+07 1.3585496849666502e+07 1.3494382208062444e+07 1.3393712566257939e+07 1.3281737644509850e+07 1.3158837401126064e+07 1.3025296153001465e+07 1.2882161358774941e+07 1.2731215194713065e+07 1.2575849831230976e+07 1.2421115571067574e+07 1.2275272827496221e+07 1.2148725411633432e+07 1.2057749517602777e+07 1.2025025784164835e+07 1.2083509119728150e+07 1.2281162605690431e+07 1.2690668162617780e+07 1.3427084808876494e+07 1.4684274551368929e+07 2.2089475749221062e+06 +1.2351883961320899e+01 5.6752056760895051e+07 5.6746309638365552e+07 5.6736521217858747e+07 5.6723321672663055e+07 5.6709290317677006e+07 5.6698705751390696e+07 5.6693586014144816e+07 5.6690610178142540e+07 5.6686192442127407e+07 5.6679296506283723e+07 5.6669961336847454e+07 5.6657861092298158e+07 5.6642459545573264e+07 5.6623189401123777e+07 5.6599440060321786e+07 5.6570475088579856e+07 5.6535410798302598e+07 5.6493213652033277e+07 5.6442675013034366e+07 5.6382373707310766e+07 5.6310649162081249e+07 5.6225529856979236e+07 5.6124322491468377e+07 5.6002401680290915e+07 5.5854611592375204e+07 5.5678361448450103e+07 5.5470911474976711e+07 5.5227880892270297e+07 5.4943897360252887e+07 5.4612874746223092e+07 5.4228047471705742e+07 5.3781983336378962e+07 5.3266631119640082e+07 5.2673420481537417e+07 5.1993435094617993e+07 5.1217666946443148e+07 5.0337386290482387e+07 4.9344632337662973e+07 4.8232846191316321e+07 4.6997623476445742e+07 4.5531325077149585e+07 4.3924361605317868e+07 4.2186558057335712e+07 4.0335071417747669e+07 3.8394683709000841e+07 3.6397227644583024e+07 3.4379974277743787e+07 3.2383004941230908e+07 3.0445884381881475e+07 2.8603978810611524e+07 2.6885380809816319e+07 2.5309437414071325e+07 2.3886340365392521e+07 2.2616472393602539e+07 2.1493230670306735e+07 2.0505777019033823e+07 1.9640563956335954e+07 1.8883616423086967e+07 1.8221391363699675e+07 1.7642209305058371e+07 1.7135339356462203e+07 1.6692296285290603e+07 1.6305209376532240e+07 1.5968363851978114e+07 1.5676113188143326e+07 1.5423745752931779e+07 1.5207601580965813e+07 1.5023845658536563e+07 1.4868781990584612e+07 1.4739699773342922e+07 1.4633251974597633e+07 1.4546974394762430e+07 1.4478049033227339e+07 1.4424034128353139e+07 1.4381631433406280e+07 1.4347636518806228e+07 1.4319640086701769e+07 1.4295366329707835e+07 1.4272597283001909e+07 1.4256529269729432e+07 1.4240319241843453e+07 1.4223785424357481e+07 1.4206470157527164e+07 1.4188608350833852e+07 1.4169688925833130e+07 1.4150334188816449e+07 1.4128837836776646e+07 1.4105832031406565e+07 1.4080893409267711e+07 1.4053691374957662e+07 1.4023824201080568e+07 1.3990839332041362e+07 1.3954089436845049e+07 1.3913640060339354e+07 1.3867975719733782e+07 1.3816777840111952e+07 1.3759303527561981e+07 1.3694753312715659e+07 1.3622302737167368e+07 1.3541124838750305e+07 1.3450307801671773e+07 1.3349966929865314e+07 1.3238357734475149e+07 1.3115858900973467e+07 1.2982753817689447e+07 1.2840086522137953e+07 1.2689633369779171e+07 1.2534775451769041e+07 1.2380546585749976e+07 1.2235180156650649e+07 1.2109046063520072e+07 1.2018367310981961e+07 1.1985750469394604e+07 1.2044042793066135e+07 1.2241050714216596e+07 1.2649218769614281e+07 1.3383230194347398e+07 1.4636313749340294e+07 2.2006544338545222e+06 +1.2356852284095158e+01 5.6595347173157617e+07 5.6589615729630135e+07 5.6579853855432950e+07 5.6566689616170064e+07 5.6552694870414019e+07 5.6542136051496223e+07 5.6537025648412660e+07 5.6534052028907761e+07 5.6529639215376250e+07 5.6522753475909948e+07 5.6513433330623597e+07 5.6501353511123605e+07 5.6485978891811669e+07 5.6466743286536217e+07 5.6443037262509421e+07 5.6414125816769041e+07 5.6379126973587140e+07 5.6337009184793033e+07 5.6286566139449753e+07 5.6226379414076425e+07 5.6154791663695358e+07 5.6069835232641719e+07 5.5968822205592506e+07 5.5847136461907335e+07 5.5699632020233475e+07 5.5523723099827006e+07 5.5316675896799617e+07 5.5074118872991413e+07 5.4790690982167765e+07 5.4460319081980847e+07 5.4076252338324390e+07 5.3631075162099272e+07 5.3116754884682596e+07 5.2524741660105027e+07 5.1846141481828652e+07 5.1071970233652055e+07 5.0193523154482558e+07 4.9202864770819940e+07 4.8093460691837780e+07 4.6860928704041742e+07 4.5397885629565768e+07 4.3794567383132458e+07 4.2060798932497591e+07 4.0213720010303341e+07 3.8278074729644299e+07 3.6285635398046441e+07 3.4273590916499518e+07 3.2281922785053536e+07 3.0350085579849452e+07 2.8513335363222525e+07 2.6799665295921072e+07 2.5228341129441518e+07 2.3809496770931143e+07 2.2543486982979063e+07 2.1423705037709527e+07 2.0439326204251222e+07 1.9576829834367260e+07 1.8822273590819571e+07 1.8162149601708859e+07 1.7584810424200185e+07 1.7079556293112528e+07 1.6637927142091813e+07 1.6252076412335124e+07 1.5916306932205208e+07 1.5624989993387101e+07 1.5373428927305259e+07 1.5157975376556456e+07 1.4974806668628121e+07 1.4820238696237857e+07 1.4691569319724770e+07 1.4585462327498112e+07 1.4499461326819437e+07 1.4430757331908803e+07 1.4376916300446384e+07 1.4334650488734331e+07 1.4300765715270234e+07 1.4272860270990521e+07 1.4248665580868917e+07 1.4225970829089994e+07 1.4209955288041955e+07 1.4193798209710231e+07 1.4177318405247293e+07 1.4160059706446359e+07 1.4142256253949327e+07 1.4123398649611276e+07 1.4104107110797036e+07 1.4082680986650996e+07 1.4059750340294408e+07 1.4034893191345597e+07 1.4007780024387499e+07 1.3978010424418913e+07 1.3945133314247854e+07 1.3908503488703942e+07 1.3868186223566972e+07 1.3822671063643958e+07 1.3771640441874146e+07 1.3714353891275186e+07 1.3650014554234320e+07 1.3577800665718714e+07 1.3496887965148222e+07 1.3406367626174187e+07 1.3306354523218025e+07 1.3195109940328337e+07 1.3073011294183586e+07 1.2940341047371836e+07 1.2798139826690085e+07 1.2648178184528442e+07 1.2493826166525291e+07 1.2340101155404832e+07 1.2195209590256130e+07 1.2069487561049230e+07 1.1979105045044696e+07 1.1946594769703383e+07 1.2004696663221527e+07 1.2201060985656630e+07 1.2607895612967711e+07 1.3339509141349632e+07 1.4588499014642935e+07 2.1923913641700875e+06 +1.2361820606869417e+01 5.6439013959651485e+07 5.6433298098497085e+07 5.6423562693826765e+07 5.6410433703233935e+07 5.6396475469789818e+07 5.6385942349506490e+07 5.6380841273258336e+07 5.6377869883954860e+07 5.6373462004243612e+07 5.6366586465023123e+07 5.6357281342129901e+07 5.6345221940060429e+07 5.6329874233311802e+07 5.6310673143958300e+07 5.6287010403863043e+07 5.6258152440185495e+07 5.6223218987342879e+07 5.6181180484411292e+07 5.6130832943969198e+07 5.6070760690323986e+07 5.5999309602822930e+07 5.5914515886628479e+07 5.5813697005240209e+07 5.5692246091889635e+07 5.5545027005853370e+07 5.5369458960291356e+07 5.5162814112416089e+07 5.4920730153373122e+07 5.4637857316241793e+07 5.4308135431789964e+07 5.3924828389480621e+07 5.3480537187143065e+07 5.2967247678746298e+07 5.2376430478065230e+07 5.1699213858494461e+07 5.0926637552878201e+07 5.0050021730506718e+07 4.9061456170564868e+07 4.7954430917977653e+07 4.6724585844330251e+07 4.5264793268827379e+07 4.3665114571022570e+07 4.1935374602061927e+07 4.0092695777749069e+07 3.8161784274679564e+07 3.6174352021043569e+07 3.4167505857793465e+07 3.2181127615569681e+07 3.0254561928723123e+07 2.8422954986002389e+07 2.6714200819207020e+07 2.5147484180453066e+07 2.3732881388862275e+07 2.2470719414314244e+07 2.1354387734907478e+07 2.0373075110860132e+07 1.9513287719969701e+07 1.8761115903777823e+07 1.8103086908357624e+07 1.7527585252859548e+07 1.7023942222389150e+07 1.6583722853573125e+07 1.6199104678706616e+07 1.5864408085028669e+07 1.5574022128937712e+07 1.5323265062429504e+07 1.5108500102748139e+07 1.4925916882260134e+07 1.4771843146401946e+07 1.4643585394264437e+07 1.4537818202602772e+07 1.4452092962958314e+07 1.4383609677894387e+07 1.4329942002085077e+07 1.4287812664178664e+07 1.4254037700534791e+07 1.4226222969066519e+07 1.4202107106006751e+07 1.4179486423216928e+07 1.4163523194629695e+07 1.4147418904563127e+07 1.4130992948572068e+07 1.4113790645468380e+07 1.4096045369370651e+07 1.4077249397307297e+07 1.4058020864295943e+07 1.4036664754090508e+07 1.4013809037763892e+07 1.3989033113772722e+07 1.3962008543423118e+07 1.3932336220085271e+07 1.3899566540498169e+07 1.3863056418753145e+07 1.3822870862625368e+07 1.3777504428896712e+07 1.3726640555425391e+07 1.3669541194745911e+07 1.3605412093061855e+07 1.3533434170498621e+07 1.3452785859839644e+07 1.3362561315016910e+07 1.3262874982493890e+07 1.3151993901295140e+07 1.3030294223331114e+07 1.2898057488243129e+07 1.2756320922522292e+07 1.2606849293153681e+07 1.2453001633929353e+07 1.2299778942633657e+07 1.2155360794876160e+07 1.2030049574237833e+07 1.1939962392254382e+07 1.1907558358451964e+07 1.1965470401945589e+07 1.2161193086416844e+07 1.2566698347961979e+07 1.3295921285168312e+07 1.4540829948412536e+07 2.1841582618117249e+06 +1.2366788929643675e+01 5.6283056385080092e+07 5.6277356118415669e+07 5.6267647071281537e+07 5.6254553255213663e+07 5.6240631441664860e+07 5.6230123971483611e+07 5.6225032214449190e+07 5.6222063068852641e+07 5.6217660134411231e+07 5.6210794799127907e+07 5.6201504696742050e+07 5.6189465704391785e+07 5.6174144895244792e+07 5.6154978298379816e+07 5.6131358809129715e+07 5.6102554283376135e+07 5.6067686163915753e+07 5.6025726874931589e+07 5.5975474750390761e+07 5.5915516859447233e+07 5.5844202302514300e+07 5.5759571141369149e+07 5.5658946212297693e+07 5.5537729891584426e+07 5.5390795869700953e+07 5.5215568349406064e+07 5.5009325440227084e+07 5.4767714050478227e+07 5.4485395678106189e+07 5.4156323109502800e+07 5.3773774937217034e+07 5.3330368721337005e+07 5.2818108809303559e+07 5.2228486240001678e+07 5.1552651526390642e+07 5.0781668202654131e+07 4.9906881313613720e+07 4.8920405828479938e+07 4.7815756157874599e+07 4.6588594182145260e+07 4.5132047276735976e+07 4.3536002448551491e+07 4.1810284344717972e+07 3.9971997999544382e+07 3.8045811626749590e+07 3.6063376801969171e+07 3.4061718398816876e+07 3.2080618742027022e+07 3.0159312752968710e+07 2.8332837021290459e+07 2.6628986742021620e+07 2.5066865950888477e+07 2.3656493624876421e+07 2.2398169115038540e+07 2.1285278210297510e+07 2.0307023206987854e+07 1.9449937099471502e+07 1.8700142864870839e+07 1.8044202801476203e+07 1.7470533322176993e+07 1.6968496687306482e+07 1.6529682973167401e+07 1.6146293738244470e+07 1.5812666881108031e+07 1.5523209172439676e+07 1.5273253741960080e+07 1.5059175348407438e+07 1.4877175892737355e+07 1.4723594938096408e+07 1.4595747597097097e+07 1.4490319202643320e+07 1.4404868908054015e+07 1.4336605677741565e+07 1.4283110841214623e+07 1.4241117568755586e+07 1.4207452084499331e+07 1.4179727791567486e+07 1.4155690516409090e+07 1.4133143677297821e+07 1.4117232601840809e+07 1.4101180939192766e+07 1.4084808667578639e+07 1.4067662588304127e+07 1.4049975311288552e+07 1.4031240783625176e+07 1.4012075064546356e+07 1.3990788754898317e+07 1.3968007740241593e+07 1.3943312793669898e+07 1.3916376549926266e+07 1.3886801206746016e+07 1.3854138630343668e+07 1.3817747847556083e+07 1.3777693599198563e+07 1.3732475438409870e+07 1.3681777805066928e+07 1.3624865063845323e+07 1.3560945556808276e+07 1.3489202881097829e+07 1.3408818154612070e+07 1.3318888502468113e+07 1.3219527944682710e+07 1.3109009257401993e+07 1.2987707331771061e+07 1.2855902787282834e+07 1.2714629460484518e+07 1.2565646350603914e+07 1.2412301513120504e+07 1.2259579610797344e+07 1.2115633437816853e+07 1.1990731773801275e+07 1.1900939025810199e+07 1.1868640909732308e+07 1.1926363681748893e+07 1.2121446683645716e+07 1.2525626630645074e+07 1.3252466261894634e+07 1.4493306152658770e+07 2.1759550230589430e+06 +1.2371757252417934e+01 5.6127473893307269e+07 5.6121789021464244e+07 5.6112106302796565e+07 5.6099047591932803e+07 5.6085162112342931e+07 5.6074680243600048e+07 5.6069597797922641e+07 5.6066630909454115e+07 5.6062232931582622e+07 5.6055377803902857e+07 5.6046102720097199e+07 5.6034084129540220e+07 5.6018790202957399e+07 5.5999658074966036e+07 5.5976081803384364e+07 5.5947330671146281e+07 5.5912527827847920e+07 5.5870647680712923e+07 5.5820490882676676e+07 5.5760647245062202e+07 5.5689469085993409e+07 5.5605000319763109e+07 5.5504569148988642e+07 5.5383587182438716e+07 5.5236937932568349e+07 5.5062050586882271e+07 5.4856209198788971e+07 5.4615069881706692e+07 5.4333305383663774e+07 5.4004881429445803e+07 5.3623091293863654e+07 5.3180569074776940e+07 5.2669337583979912e+07 5.2080908250966258e+07 5.1406453787561014e+07 5.0637061481857844e+07 4.9764101199352659e+07 4.8779713036637135e+07 4.7677435700186238e+07 4.6452953002967589e+07 4.4999646935782321e+07 4.3407230296097532e+07 4.1685527439932428e+07 3.9851625956109934e+07 3.7930156069379956e+07 3.5952709030245535e+07 3.3956227837953813e+07 3.1980395474957816e+07 3.0064337378209952e+07 2.8242980812607825e+07 2.6544022427907832e+07 2.4986485825641517e+07 2.3580332885831416e+07 2.2325835513780978e+07 2.1216375913422782e+07 2.0241169961890865e+07 1.9386777460354514e+07 1.8639353978088852e+07 1.7985496799944248e+07 1.7413654164319698e+07 1.6913219231829308e+07 1.6475807055283831e+07 1.6093643154528670e+07 1.5761082892027721e+07 1.5472550702443069e+07 1.5223394550506497e+07 1.5010000703304075e+07 1.4828583294222537e+07 1.4675493669228017e+07 1.4548055529267127e+07 1.4442964931257145e+07 1.4357788767839113e+07 1.4289744938931208e+07 1.4236422426631739e+07 1.4194564812340636e+07 1.4161008477927862e+07 1.4133374350008119e+07 1.4109415424234308e+07 1.4086942204096444e+07 1.4071083122875260e+07 1.4055083927247548e+07 1.4038765176359819e+07 1.4021675149500733e+07 1.4004045694772074e+07 1.3985372424115922e+07 1.3966269327625327e+07 1.3945052605750633e+07 1.3922346065019295e+07 1.3897731849009320e+07 1.3870883662591128e+07 1.3841405003950130e+07 1.3808849204217238e+07 1.3772577396512892e+07 1.3732654055779448e+07 1.3687583715932546e+07 1.3637051815923804e+07 1.3580325125255875e+07 1.3516614573922986e+07 1.3445106427921416e+07 1.3364984482089741e+07 1.3275348823600309e+07 1.3176313047585748e+07 1.3066155649484091e+07 1.2945250263648583e+07 1.2813876592240756e+07 1.2673065092210697e+07 1.2524569012597624e+07 1.2371725464021787e+07 1.2219502823999098e+07 1.2076027187135024e+07 1.1951533831219120e+07 1.1862034619652266e+07 1.1829842098356020e+07 1.1887376175871283e+07 1.2081821445241496e+07 1.2484680117840212e+07 1.3209143708433587e+07 1.4445927230270747e+07 2.1677815445268638e+06 +1.2376725575192193e+01 5.5972265509764686e+07 5.5966596261799559e+07 5.5956939714834869e+07 5.5943916034291416e+07 5.5930066808361910e+07 5.5919610492162980e+07 5.5914537349889703e+07 5.5911572731924675e+07 5.5907179721933588e+07 5.5900334805325583e+07 5.5891074737969793e+07 5.5879076541324876e+07 5.5863809481971443e+07 5.5844711799133360e+07 5.5821178711836189e+07 5.5792480928607807e+07 5.5757743303999968e+07 5.5715942226261027e+07 5.5665880665121816e+07 5.5606151171157628e+07 5.5535109276780888e+07 5.5450802744652078e+07 5.5350565137787297e+07 5.5229817286226489e+07 5.5083452515396707e+07 5.4908904992776424e+07 5.4703464707146183e+07 5.4462796964706644e+07 5.4181585749152705e+07 5.3853809706085883e+07 5.3472776772051796e+07 5.3031137558030017e+07 5.2520933310932182e+07 5.1933695816426381e+07 5.1260619944549479e+07 5.0492816689910419e+07 4.9621680683794007e+07 4.8639377087741129e+07 4.7539468834159724e+07 4.6317661592838928e+07 4.4867591529111713e+07 4.3278797394687898e+07 4.1561103168001823e+07 3.9731578928686410e+07 3.7814816887108535e+07 3.5842347996316724e+07 3.3851033474584885e+07 3.1880457125872061e+07 2.9969635131191477e+07 2.8153385704622809e+07 2.6459307241572022e+07 2.4906343190818202e+07 2.3504398579762828e+07 2.2253718040272072e+07 2.1147680294998862e+07 2.0175514845946610e+07 1.9323808291101031e+07 1.8578748748481765e+07 1.7926968423675399e+07 1.7356947312483475e+07 1.6858109400935702e+07 1.6422094655295739e+07 1.6041152492080258e+07 1.5709655690291261e+07 1.5422046298443018e+07 1.5173687073565204e+07 1.4960975758111058e+07 1.4780138681814175e+07 1.4627538938617138e+07 1.4500508792689925e+07 1.4395754992945122e+07 1.4310852148940526e+07 1.4243027069769107e+07 1.4189876368012464e+07 1.4148154005689638e+07 1.4114706492460614e+07 1.4087162256762009e+07 1.4063281442509912e+07 1.4040881617258579e+07 1.4025074371793885e+07 1.4009127483222170e+07 1.3992862089858929e+07 1.3975827944487482e+07 1.3958256135709390e+07 1.3939643935219364e+07 1.3920603270480525e+07 1.3899455924165366e+07 1.3876823630258050e+07 1.3852289898610424e+07 1.3825529500994902e+07 1.3796147232040728e+07 1.3763697883359326e+07 1.3727544687886611e+07 1.3687751855730085e+07 1.3642828886036171e+07 1.3592462213973071e+07 1.3535921006510649e+07 1.3472418773698037e+07 1.3401144442212176e+07 1.3321284475701535e+07 1.3231941914323209e+07 1.3133229929806409e+07 1.3023432719172359e+07 1.2902922663909759e+07 1.2771978551679932e+07 1.2631627470119637e+07 1.2483616935609654e+07 1.2331273147309905e+07 1.2179548247087179e+07 1.2036541711602468e+07 1.1912455418687221e+07 1.1823248848422909e+07 1.1791161599863136e+07 1.1848507558272269e+07 1.2042317039812537e+07 1.2443858467113400e+07 1.3165953262490863e+07 1.4398692785062291e+07 2.1596377231652504e+06 +1.2381693897966452e+01 5.5817430793854706e+07 5.5811777030440331e+07 5.5802146635944247e+07 5.5789157905472443e+07 5.5775344856578000e+07 5.5764914043658659e+07 5.5759850196777515e+07 5.5756887862618878e+07 5.5752499831668362e+07 5.5745665129530676e+07 5.5736420076479651e+07 5.5724442265623301e+07 5.5709202058167323e+07 5.5690138796579696e+07 5.5666648859980918e+07 5.5638004380975060e+07 5.5603331917397134e+07 5.5561609836463630e+07 5.5511643422220990e+07 5.5452027961794131e+07 5.5381122198591709e+07 5.5296977739399582e+07 5.5196933501260258e+07 5.5076419525031596e+07 5.4930338939436994e+07 5.4756130887434453e+07 5.4551091284525000e+07 5.4310894617522702e+07 5.4030236091067106e+07 5.3703107254335031e+07 5.3322830684787147e+07 5.2882073481896468e+07 5.2372895298623808e+07 5.1786848242197625e+07 5.1115149300231002e+07 5.0348933126618646e+07 4.9479619063472308e+07 4.8499397274904989e+07 4.7401854849622682e+07 4.6182719238490470e+07 4.4735880340545066e+07 4.3150703026233763e+07 4.1437010809999101e+07 3.9611856199402541e+07 3.7699793365299776e+07 3.5732292991557136e+07 3.3746134609168589e+07 3.1780803007384449e+07 2.9875205339826804e+07 2.8064051043186352e+07 2.6374840548927844e+07 2.4826437433708731e+07 2.3428690115862593e+07 2.2181816125423044e+07 2.1079190806815431e+07 2.0110057330606516e+07 1.9261029081343044e+07 1.8518326682135124e+07 1.7868617193619285e+07 1.7300412300864346e+07 1.6803166740583584e+07 1.6368545329530323e+07 1.5988821316378452e+07 1.5658384849380564e+07 1.5371695540836867e+07 1.5124130897567639e+07 1.4912100104424518e+07 1.4731841651477437e+07 1.4579730345959388e+07 1.4453106990182837e+07 1.4348688993099399e+07 1.4264058658839714e+07 1.4196451679443456e+07 1.4143472275903640e+07 1.4101884760442823e+07 1.4068545740599249e+07 1.4041091125055110e+07 1.4017288185102522e+07 1.3994961531252928e+07 1.3979205963539492e+07 1.3963311222502520e+07 1.3947099023896322e+07 1.3930120589552049e+07 1.3912606250868229e+07 1.3894054934189316e+07 1.3875076510911461e+07 1.3853998328509316e+07 1.3831440054947766e+07 1.3806986562143188e+07 1.3780313685530463e+07 1.3751027512233384e+07 1.3718684289883737e+07 1.3682649344772525e+07 1.3642986623226317e+07 1.3598210574163331e+07 1.3548008626034873e+07 1.3491652335973250e+07 1.3428357786213759e+07 1.3357316556026928e+07 1.3277717769708980e+07 1.3188667411317807e+07 1.3090278230769854e+07 1.2980840108890384e+07 1.2860724178300191e+07 1.2730208314938692e+07 1.2590316247388955e+07 1.2442789776890540e+07 1.2290944224411838e+07 1.2139715545657663e+07 1.1997176680752760e+07 1.1873496209142264e+07 1.1784581387508834e+07 1.1752599090511994e+07 1.1809757503637845e+07 1.2002933136733621e+07 1.2403161336810946e+07 1.3122894562567819e+07 1.4351602421679635e+07 2.1515234562575263e+06 +1.2386662220740710e+01 5.5662969115486249e+07 5.5657330625703894e+07 5.5647726400718741e+07 5.5634772531178378e+07 5.5620995583927669e+07 5.5610590224779487e+07 5.5605535665338695e+07 5.5602575628097229e+07 5.5598192587375566e+07 5.5591368103042901e+07 5.5582138061909117e+07 5.5570180628666498e+07 5.5554967257568210e+07 5.5535938393169217e+07 5.5512491573518425e+07 5.5483900353830814e+07 5.5449292993415549e+07 5.5407649836284913e+07 5.5357778478760190e+07 5.5298276941410825e+07 5.5227507175394453e+07 5.5143524627464041e+07 5.5043673562532090e+07 5.4923393221176237e+07 5.4777596526232265e+07 5.4603727591430560e+07 5.4399088250426568e+07 5.4159362158360593e+07 5.3879255726256639e+07 5.3552773389339827e+07 5.3173252345375583e+07 5.2733376157654524e+07 5.2225222855936311e+07 5.1640364834465161e+07 5.0970041158058092e+07 5.0205410092238896e+07 4.9337915635439202e+07 4.8359772891867489e+07 4.7264593037049673e+07 4.6048125227273986e+07 4.4604512654632457e+07 4.3022946473242603e+07 4.1313249647864088e+07 3.9492457051317044e+07 3.7585084790333830e+07 3.5622543308449440e+07 3.3641530543218918e+07 3.1681432433335908e+07 2.9781047333199214e+07 2.7974976175337728e+07 2.6290621717000246e+07 2.4746767942774564e+07 2.3353206904508110e+07 2.2110129201337963e+07 2.1010906901845261e+07 2.0044796888452508e+07 1.9198439321766708e+07 1.8458087286202136e+07 1.7810442631739106e+07 1.7244048664672248e+07 1.6748390797723018e+07 1.6315158635330886e+07 1.5936649193879053e+07 1.5607269943682449e+07 1.5321498010966914e+07 1.5074725609852599e+07 1.4863373334719867e+07 1.4683691800091380e+07 1.4532067491839638e+07 1.4405849725423530e+07 1.4301766537985830e+07 1.4217407905920925e+07 1.4150018378029829e+07 1.4097209761722479e+07 1.4055756689064790e+07 1.4022525835705094e+07 1.3995160568989756e+07 1.3971435266774425e+07 1.3949181561456691e+07 1.3933477513889547e+07 1.3917634761288963e+07 1.3901475595137579e+07 1.3884552701820029e+07 1.3867095657854451e+07 1.3848605039164856e+07 1.3829688667552525e+07 1.3808679438036609e+07 1.3786194958930394e+07 1.3761821460135542e+07 1.3735235837460915e+07 1.3706045466587907e+07 1.3673808046733286e+07 1.3637890991109205e+07 1.3598357983304424e+07 1.3553728406552905e+07 1.3503690679728854e+07 1.3447518742813591e+07 1.3384431242406441e+07 1.3313622402246974e+07 1.3234283999157604e+07 1.3145524952119472e+07 1.3047457590692719e+07 1.2938377461864060e+07 1.2818654453344777e+07 1.2688565532116609e+07 1.2549131077983359e+07 1.2402087194461644e+07 1.2250738357525446e+07 1.2100004386057461e+07 1.1957931764836358e+07 1.1834655876244031e+07 1.1746031913019557e+07 1.1714154247285314e+07 1.1771125687364968e+07 1.1963669406110669e+07 1.2362588386041453e+07 1.3079967248002281e+07 1.4304655745663876e+07 2.1434386414198196e+06 +1.2391630543514969e+01 5.5508879498190060e+07 5.5503256487184152e+07 5.5493678338481411e+07 5.5480759239118122e+07 5.5467018317451432e+07 5.5456638362334207e+07 5.5451593082354859e+07 5.5448635355228841e+07 5.5444257315830566e+07 5.5437443052409194e+07 5.5428228020858519e+07 5.5416290956911884e+07 5.5401104406532593e+07 5.5382109915102683e+07 5.5358706178527005e+07 5.5330168172968902e+07 5.5295625857553683e+07 5.5254061551053472e+07 5.5204285159657344e+07 5.5144897434687600e+07 5.5074263531454436e+07 5.4990442732678242e+07 5.4890784644755758e+07 5.4770737697228163e+07 5.4625224597590223e+07 5.4451694425721124e+07 5.4247454924667604e+07 5.4008198905847371e+07 5.3728643971905559e+07 5.3402807426699020e+07 5.3024041067473270e+07 5.2585044896866083e+07 5.2077915292053260e+07 5.1494244899958514e+07 5.0825294821852893e+07 5.0062246887610406e+07 4.9196569697242558e+07 4.8220503232922547e+07 4.7127682687414967e+07 4.5913878847162321e+07 4.4473487756575584e+07 4.2895527019015945e+07 4.1189818964280084e+07 3.9373380768248700e+07 3.7470690449563883e+07 3.5513098240408316e+07 3.3537220579357348e+07 3.1582344718567483e+07 2.9687160441466715e+07 2.7886160449255902e+07 2.6206650114097327e+07 2.4667334107664779e+07 2.3277948357241996e+07 2.2038656701209001e+07 2.0942828034147594e+07 1.9979732993179645e+07 1.9136038504105654e+07 1.8398030068903353e+07 1.7752444261068936e+07 1.7187855940125242e+07 1.6693781120302971e+07 1.6261934130971650e+07 1.5884635691927228e+07 1.5556310548557373e+07 1.5271453291096751e+07 1.5025470798677634e+07 1.4814795042400090e+07 1.4635688725434154e+07 1.4484549977740934e+07 1.4358736602999091e+07 1.4254987234748397e+07 1.4170899499414338e+07 1.4103726776469143e+07 1.4051088437741386e+07 1.4009769404917872e+07 1.3976646392013272e+07 1.3949370203532703e+07 1.3925722303115088e+07 1.3903541324068760e+07 1.3887888639490543e+07 1.3872097716674469e+07 1.3855991421108017e+07 1.3839123899281256e+07 1.3821723975156613e+07 1.3803293869122583e+07 1.3784439359919669e+07 1.3763498872800972e+07 1.3741087962909201e+07 1.3716794213945232e+07 1.3690295578874469e+07 1.3661200718002779e+07 1.3629068777703274e+07 1.3593269251682488e+07 1.3553865561823877e+07 1.3509382010297842e+07 1.3459508003517164e+07 1.3403519857060215e+07 1.3340638774022762e+07 1.3270061614566470e+07 1.3190982799948705e+07 1.3102514175037319e+07 1.3004767650579495e+07 1.2896044422103019e+07 1.2776713136355223e+07 1.2647049854109859e+07 1.2508071616633203e+07 1.2361508847088734e+07 1.2210655209584516e+07 1.2060414435378147e+07 1.1918806634862803e+07 1.1795934094372464e+07 1.1707600101766555e+07 1.1675826747887148e+07 1.1732611785617722e+07 1.1924525518783424e+07 1.2322139274658974e+07 1.3037170958913818e+07 1.4257852363473736e+07 2.1353831765999775e+06 +1.2396598866289228e+01 5.5355161571077354e+07 5.5349553956011094e+07 5.5340001775664113e+07 5.5327117358268298e+07 5.5313412384301737e+07 5.5303057783279322e+07 5.5298021775115848e+07 5.5295066371159568e+07 5.5290693344056584e+07 5.5283889304650426e+07 5.5274689280134924e+07 5.5262772577015512e+07 5.5247612831538327e+07 5.5228652688774116e+07 5.5205292001134202e+07 5.5176807164408937e+07 5.5142329835716479e+07 5.5100844306362450e+07 5.5051162790274382e+07 5.4991888766526841e+07 5.4921390591337666e+07 5.4837731379089832e+07 5.4738266071459137e+07 5.4618452276052125e+07 5.4473222475662023e+07 5.4300030711457618e+07 5.4096190627391018e+07 5.3857404178838030e+07 5.3578400145470925e+07 5.3253208682233565e+07 5.2875196165167272e+07 5.2437079011459231e+07 5.1930971916649565e+07 5.1348487745697021e+07 5.0680909595802255e+07 4.9919442813882999e+07 4.9055580546924122e+07 4.8081587592802659e+07 4.6991123092284098e+07 4.5779979386751004e+07 4.4342804932306416e+07 4.2768443947686233e+07 4.1066718042821847e+07 3.9254626635008931e+07 3.7356609631243534e+07 3.5403957081921369e+07 3.3433204021165177e+07 3.1483539179026298e+07 2.9593543995996490e+07 2.7797603214299247e+07 2.6122925109647583e+07 2.4588135319188181e+07 2.3202913886791214e+07 2.1967398059414972e+07 2.0874953658963248e+07 1.9914865119571544e+07 1.9073826121244073e+07 1.8338154539497729e+07 1.7694621605625324e+07 1.7131833664442852e+07 1.6639337257244872e+07 1.6208871375701163e+07 1.5832780378900211e+07 1.5505506240262875e+07 1.5221560964400927e+07 1.4976366053199612e+07 1.4766364821759211e+07 1.4587832026167173e+07 1.4437177406018164e+07 1.4311767228354229e+07 1.4208350691401176e+07 1.4124533049443949e+07 1.4057576486559600e+07 1.4005107917113999e+07 1.3963922522213733e+07 1.3930907024603838e+07 1.3903719644505002e+07 1.3880148910610793e+07 1.3858040436166808e+07 1.3842438957835456e+07 1.3826699706582252e+07 1.3810646120188477e+07 1.3793833800782708e+07 1.3776490822088422e+07 1.3758121043891864e+07 1.3739328208348319e+07 1.3718456253739391e+07 1.3696118688423315e+07 1.3671904445783850e+07 1.3645492532715797e+07 1.3616492890224649e+07 1.3584466107416324e+07 1.3548783752097847e+07 1.3509508985478124e+07 1.3465171013332410e+07 1.3415460226719815e+07 1.3359655309554383e+07 1.3296980013627425e+07 1.3226633827501716e+07 1.3147813808768086e+07 1.3059634719206817e+07 1.2962208052266121e+07 1.2853840634452203e+07 1.2734899875436265e+07 1.2605660932594756e+07 1.2467137518835209e+07 1.2321054394318068e+07 1.2170694444283623e+07 1.2020945361447414e+07 1.1879800962553358e+07 1.1757330538648885e+07 1.1669285631308934e+07 1.1637616270746397e+07 1.1694215475231742e+07 1.1885501146321233e+07 1.2281813663289776e+07 1.2994505336238140e+07 1.4211191882391872e+07 2.1273569600766189e+06 +1.2401567189063487e+01 5.5201814459290504e+07 5.5196222344396502e+07 5.5186696036535308e+07 5.5173846218262263e+07 5.5160177111874171e+07 5.5149847814859867e+07 5.5144821070972078e+07 5.5141868003193170e+07 5.5137499999326564e+07 5.5130706186917789e+07 5.5121521166819423e+07 5.5109624815993331e+07 5.5094491859540530e+07 5.5075566040833004e+07 5.5052248367951155e+07 5.5023816654505230e+07 5.4989404253929704e+07 5.4947997428086080e+07 5.4898410696126387e+07 5.4839250262148663e+07 5.4768887679786585e+07 5.4685389891042404e+07 5.4586117166479208e+07 5.4466536280894615e+07 5.4321589482793830e+07 5.4148735770136610e+07 5.3945294679042414e+07 5.3706977296615981e+07 5.3428523564740807e+07 5.3103976472137474e+07 5.2726716952773698e+07 5.2289477813783057e+07 5.1784392039747305e+07 5.1203092679162994e+07 5.0536884784615397e+07 4.9776997172814146e+07 4.8914947483060576e+07 4.7943025266885050e+07 4.6854913543896392e+07 4.5646426135281347e+07 4.4212463468406938e+07 4.2641696544068530e+07 4.0943946167861946e+07 3.9136193937287316e+07 3.7242841624582447e+07 3.5295119128401786e+07 3.3329480173417874e+07 3.1385015131861445e+07 2.9500197329256117e+07 2.7709303820984770e+07 2.6039446074241173e+07 2.4509170969352733e+07 2.3128102907011651e+07 2.1896352711502571e+07 2.0807283232631247e+07 1.9850192743534047e+07 1.9011801667091891e+07 1.8278460208304621e+07 1.7636974190499689e+07 1.7075981375848986e+07 1.6585058758457787e+07 1.6155969929733926e+07 1.5781082824074611e+07 1.5454856596018691e+07 1.5171820615002871e+07 1.4927410963508120e+07 1.4718082267996721e+07 1.4540121301852683e+07 1.4389949379935700e+07 1.4264941207830846e+07 1.4161856516849305e+07 1.4078308166979732e+07 1.4011567120978467e+07 1.3959267813857839e+07 1.3918215656045122e+07 1.3885307349433111e+07 1.3858208508589827e+07 1.3834714706559109e+07 1.3812678515682731e+07 1.3797128087287268e+07 1.3781440349826669e+07 1.3765439311611645e+07 1.3748682026026599e+07 1.3731395818828503e+07 1.3713086184155498e+07 1.3694354834049515e+07 1.3673551202616673e+07 1.3651286757868208e+07 1.3627151778717322e+07 1.3600826322782125e+07 1.3571921607846562e+07 1.3539999661345594e+07 1.3504434118802285e+07 1.3465287881818473e+07 1.3421095044410661e+07 1.3371546979443779e+07 1.3315924731947809e+07 1.3253454594631752e+07 1.3183338676386598e+07 1.3104776663119376e+07 1.3016886224570138e+07 1.2919778438378714e+07 1.2811765744496647e+07 1.2693214319478082e+07 1.2564398420037299e+07 1.2426328440863483e+07 1.2280723496460121e+07 1.2130855726072300e+07 1.1981596832845187e+07 1.1840914420383962e+07 1.1718844884915637e+07 1.1631088179919176e+07 1.1599522495013211e+07 1.1655936433814177e+07 1.1846595961037032e+07 1.2241611213309553e+07 1.2951970021705821e+07 1.4164673910625532e+07 2.1193598904581629e+06 +1.2406535511837745e+01 5.5048837878702708e+07 5.5043260846584059e+07 5.5033760450809672e+07 5.5020945148635015e+07 5.5007311827737913e+07 5.4997007784419917e+07 5.4991990297678649e+07 5.4989039579000264e+07 5.4984676609265514e+07 5.4977893026687548e+07 5.4968723008255571e+07 5.4956847001047626e+07 5.4941740817517236e+07 5.4922849298278667e+07 5.4899574605685443e+07 5.4871195969790250e+07 5.4836848438565329e+07 5.4795520242250994e+07 5.4746028202993676e+07 5.4686981246985354e+07 5.4616754121967971e+07 5.4533417593149126e+07 5.4434337253841288e+07 5.4314989035096906e+07 5.4170324941739269e+07 5.3997808923525251e+07 5.3794766400314569e+07 5.3556917578626804e+07 5.3279013547922559e+07 5.2955110113043070e+07 5.2578602745107740e+07 5.2142240616534784e+07 5.1638174971795872e+07 5.1058059008256383e+07 5.0393219693475306e+07 4.9634909266581185e+07 4.8774669804719366e+07 4.7804815551105693e+07 4.6719053335036367e+07 4.5513218382689774e+07 4.4082462652179897e+07 4.2515284093789615e+07 4.0821502624564409e+07 3.9018081961610697e+07 3.7129385719742544e+07 3.5186583676374272e+07 3.3226048341833442e+07 3.1286771895224288e+07 2.9407119774922326e+07 2.7621261621025633e+07 2.5956212379696105e+07 2.4430440451357268e+07 2.3053514832979292e+07 2.1825520094120912e+07 2.0739816212607149e+07 1.9785715342056286e+07 1.8949964636660747e+07 1.8218946586695172e+07 1.7579501541762024e+07 1.7020298613575947e+07 1.6530945174837729e+07 1.6103229354275407e+07 1.5729542597687375e+07 1.5404361193983557e+07 1.5122231827925278e+07 1.4878605120582907e+07 1.4669946977212604e+07 1.4492556152927971e+07 1.4342865503628107e+07 1.4218258148652725e+07 1.4115504320849694e+07 1.4032224463900436e+07 1.3965698293264600e+07 1.3913567742832799e+07 1.3872648422341807e+07 1.3839846983320965e+07 1.3812836413319634e+07 1.3789419309152061e+07 1.3767455181397390e+07 1.3751955647067739e+07 1.3736319266031304e+07 1.3720370615469363e+07 1.3703668195558725e+07 1.3686438586394841e+07 1.3668188911451662e+07 1.3649518859063387e+07 1.3628783342068894e+07 1.3606591794468980e+07 1.3582535836646186e+07 1.3556296573691772e+07 1.3527486496287983e+07 1.3495669065801745e+07 1.3460219979100358e+07 1.3421201879196770e+07 1.3377153733121142e+07 1.3327767892667895e+07 1.3272327756745433e+07 1.3210062151247149e+07 1.3140175797372436e+07 1.3061871001330435e+07 1.2974268331873007e+07 1.2877478452336956e+07 1.2769819398660861e+07 1.2651656118165473e+07 1.2523261969654370e+07 1.2385644039778445e+07 1.2240515814563746e+07 1.2091138720149275e+07 1.1942368518892404e+07 1.1802146681551363e+07 1.1680476809740726e+07 1.1593007426585350e+07 1.1561545100535933e+07 1.1617774339655444e+07 1.1807809635980802e+07 1.2201531586886778e+07 1.2909564657861186e+07 1.4118298057226934e+07 2.1113918666818640e+06 +1.2411503834612004e+01 5.4896230679738387e+07 5.4890668880237095e+07 5.4881194332681417e+07 5.4868413477483824e+07 5.4854815860048786e+07 5.4844537019672059e+07 5.4839528783189729e+07 5.4836580426542379e+07 5.4832222501640633e+07 5.4825449151597738e+07 5.4816294132047422e+07 5.4804438459706917e+07 5.4789359032867081e+07 5.4770501788295701e+07 5.4747270041398175e+07 5.4718944437141702e+07 5.4684661716276653e+07 5.4643412075281642e+07 5.4594014637028299e+07 5.4535081046856031e+07 5.4464989243175045e+07 5.4381813810306273e+07 5.4282925657946929e+07 5.4163809862450421e+07 5.4019428175431639e+07 5.3847249493769497e+07 5.3644605112313896e+07 5.3407224344766162e+07 5.3129869413428940e+07 5.2806608921746351e+07 5.2430852857232831e+07 5.1995366732831553e+07 5.1492320023551963e+07 5.0913386041315764e+07 5.0249913627967991e+07 4.9493178397865795e+07 4.8634746811507814e+07 4.7666957741917260e+07 4.6583541759082451e+07 4.5380355419521399e+07 4.3952801771677434e+07 4.2389205883178256e+07 4.0699386698980391e+07 3.8900289995445684e+07 3.7016241207884625e+07 3.5078350023288570e+07 3.3122907833316654e+07 3.1188808788491283e+07 2.9314310667735580e+07 2.7533475967290703e+07 2.5873223398961671e+07 2.4351943159558330e+07 2.2979149080900621e+07 2.1754899645129405e+07 2.0672552057513006e+07 1.9721432393251587e+07 1.8888314526031479e+07 1.8159613187086731e+07 1.7522203186556388e+07 1.6964784917878225e+07 1.6476996058271267e+07 1.6050649211479980e+07 1.5678159270921176e+07 1.5354019613222441e+07 1.5072794189133057e+07 1.4829948116312280e+07 1.4621958546388879e+07 1.4445136180768168e+07 1.4295925382112987e+07 1.4171717658898879e+07 1.4069293714061141e+07 1.3986281552916663e+07 1.3919969617820172e+07 1.3868007319797348e+07 1.3827220437900534e+07 1.3794525543927278e+07 1.3767602977105554e+07 1.3744262337422831e+07 1.3722370052945804e+07 1.3706921257232921e+07 1.3691336075702721e+07 1.3675439652686056e+07 1.3658791930778442e+07 1.3641618746676641e+07 1.3623428848153643e+07 1.3604819906290423e+07 1.3584152295555022e+07 1.3562033422329782e+07 1.3538056244317254e+07 1.3511902910918945e+07 1.3483187181811646e+07 1.3451473947920708e+07 1.3416140961116647e+07 1.3377250606835354e+07 1.3333346709883995e+07 1.3284122598158374e+07 1.3228864017266549e+07 1.3166802318503516e+07 1.3097144827435147e+07 1.3019096462536579e+07 1.2931780682668196e+07 1.2835307738361724e+07 1.2728001244137879e+07 1.2610224921950357e+07 1.2482251235477731e+07 1.2345083973383280e+07 1.2200431010460349e+07 1.2051543092467623e+07 1.1903260089646945e+07 1.1763497419982838e+07 1.1642225990432588e+07 1.1555043051020347e+07 1.1523683767914614e+07 1.1579728871789714e+07 1.1769141844919775e+07 1.2161574446890712e+07 1.2867288888030512e+07 1.4072063932150584e+07 2.1034527880128641e+06 +1.2416472157386263e+01 5.4743992543578230e+07 5.4738445800986320e+07 5.4728997006772168e+07 5.4716250530969910e+07 5.4702688537291251e+07 5.4692434848598965e+07 5.4687435855725080e+07 5.4684489873961955e+07 5.4680137004527412e+07 5.4673373889732935e+07 5.4664233866083041e+07 5.4652398519686237e+07 5.4637345833251357e+07 5.4618522838395864e+07 5.4595334002424948e+07 5.4567061383744620e+07 5.4532843413970336e+07 5.4491672253834181e+07 5.4442369324568316e+07 5.4383548987793602e+07 5.4313592369055495e+07 5.4230577867714196e+07 5.4131881703470804e+07 5.4012998086985901e+07 5.3868898507194914e+07 5.3697056803241953e+07 5.3494810136413150e+07 5.3257896915231846e+07 5.2981090480123617e+07 5.2658472215534210e+07 5.2283466604649805e+07 5.1848855476120763e+07 5.1346826506334543e+07 5.0769073087095700e+07 5.0106965894121379e+07 4.9351803869825840e+07 4.8495177803579912e+07 4.7529451136286743e+07 4.6448378109996803e+07 4.5247836536951065e+07 4.3823480115617864e+07 4.2263461199423552e+07 4.0577597677953131e+07 3.8782817327112950e+07 3.6903407381074719e+07 3.4970417467675664e+07 3.3020057955735579e+07 3.1091125132045474e+07 2.9221769343657400e+07 2.7445946213796649e+07 2.5790478506219506e+07 2.4273678489483044e+07 2.2905005068155665e+07 2.1684490803476758e+07 2.0605490227064516e+07 1.9657343376320153e+07 1.8826850832366001e+07 1.8100459522968397e+07 1.7465078653014284e+07 1.6909439829995930e+07 1.6423210961615862e+07 1.5998229064445984e+07 1.5626932415911684e+07 1.5303831433745300e+07 1.5023507285471771e+07 1.4781439543532439e+07 1.4574116573442517e+07 1.4397860987585051e+07 1.4249128621298762e+07 1.4125319347547734e+07 1.4023224307990057e+07 1.3940479047627488e+07 1.3874380709922016e+07 1.3822586161343988e+07 1.3781931320405034e+07 1.3749342649791488e+07 1.3722507819203010e+07 1.3699243411268672e+07 1.3677422750817979e+07 1.3662024538709436e+07 1.3646490400195889e+07 1.3630646045060819e+07 1.3614052853928950e+07 1.3596935922389943e+07 1.3578805617493698e+07 1.3560257599466180e+07 1.3539657687389459e+07 1.3517611266357945e+07 1.3493712627317963e+07 1.3467644960781662e+07 1.3439023291537534e+07 1.3407413935704866e+07 1.3372196693813330e+07 1.3333433694759838e+07 1.3289673605952518e+07 1.3240610728541641e+07 1.3185533147643300e+07 1.3123674732267955e+07 1.3054245404353686e+07 1.2976452686668599e+07 1.2889422919311991e+07 1.2793265941484526e+07 1.2686310928923620e+07 1.2568920382097621e+07 1.2441365872276353e+07 1.2304647900256280e+07 1.2160468746730695e+07 1.2012068509724099e+07 1.1864271215903591e+07 1.1724966310351413e+07 1.1604092104990065e+07 1.1517194733659372e+07 1.1485938178430561e+07 1.1541799709963052e+07 1.1730592262370158e+07 1.2121739457000084e+07 1.2825142356374197e+07 1.4025971146207919e+07 2.0955425540432266e+06 +1.2421440480160522e+01 5.4592122378718197e+07 5.4586590938249588e+07 5.4577167811147928e+07 5.4564455634056352e+07 5.4550929188533299e+07 5.4540700599554978e+07 5.4535710843854599e+07 5.4532767249755494e+07 5.4528419446336098e+07 5.4521666569309965e+07 5.4512541538481072e+07 5.4500726509077393e+07 5.4485700546557792e+07 5.4466911776279666e+07 5.4443765816388987e+07 5.4415546136932977e+07 5.4381392858840078e+07 5.4340300104835279e+07 5.4291091592263259e+07 5.4232384396043479e+07 5.4162562825583994e+07 5.4079709090881057e+07 5.3981204715370469e+07 5.3862553033089578e+07 5.3718735260639414e+07 5.3547230174704790e+07 5.3345380794319563e+07 5.3108934610569507e+07 5.2832676067147806e+07 5.2510699312071718e+07 5.2136443303170003e+07 5.1702706160288915e+07 5.1201693731730789e+07 5.0625119454800949e+07 4.9964375798515446e+07 4.9210784986103624e+07 4.8355962081552550e+07 4.7392295031914920e+07 4.6313561682476699e+07 4.5115661026858300e+07 4.3694496973426118e+07 4.2138049330376379e+07 4.0456134849141724e+07 3.8665663245875619e+07 3.6790883532339551e+07 3.4862785309066288e+07 3.2917498018144622e+07 3.0993720247478176e+07 2.9129495139740147e+07 2.7358671715779480e+07 2.5707977076806933e+07 2.4195645837857839e+07 2.2831082213315148e+07 2.1614293009328287e+07 2.0538630182126548e+07 1.9593447771567937e+07 1.8765573053894319e+07 1.8041485108842280e+07 1.7408127470346585e+07 1.6854262892168578e+07 1.6369589438720534e+07 1.5945968477267900e+07 1.5575861605733212e+07 1.5253796236528175e+07 1.4974370704760183e+07 1.4733078995938873e+07 1.4526420657162290e+07 1.4350730176500751e+07 1.4202474827968810e+07 1.4079062824450040e+07 1.3977295715034239e+07 1.3894816562491229e+07 1.3828931185708633e+07 1.3777303884933038e+07 1.3736780688359486e+07 1.3704297920291966e+07 1.3677550559704561e+07 1.3654362151417702e+07 1.3632612896373352e+07 1.3617265113255175e+07 1.3601781861701587e+07 1.3585989415239317e+07 1.3569450588126577e+07 1.3552389737123180e+07 1.3534318843545485e+07 1.3515831563186999e+07 1.3495299142733335e+07 1.3473324952327626e+07 1.3449504612079855e+07 1.3423522350429665e+07 1.3394994453406978e+07 1.3363488657953244e+07 1.3328386806974355e+07 1.3289750773834545e+07 1.3246134053391602e+07 1.3197231917242263e+07 1.3142334782843044e+07 1.3080679029205356e+07 1.3011477166721147e+07 1.2933939314479290e+07 1.2847194684965372e+07 1.2751352707530441e+07 1.2644748101786580e+07 1.2527742150630469e+07 1.2400605535622435e+07 1.2264335479743959e+07 1.2120628686711272e+07 1.1972714639368678e+07 1.1825401569220705e+07 1.1686553028055260e+07 1.1566074832179677e+07 1.1479462155642817e+07 1.1448308014112730e+07 1.1503986534657059e+07 1.1692160563581243e+07 1.2082026281624164e+07 1.2783124707814557e+07 1.3980019311098149e+07 2.0876610646909894e+06 +1.2426408802934780e+01 5.4440619772039481e+07 5.4435103556793161e+07 5.4425706093311489e+07 5.4413028113102548e+07 5.4399537143103741e+07 5.4389333601301380e+07 5.4384353076402195e+07 5.4381411882651925e+07 5.4377069155684657e+07 5.4370326518871784e+07 5.4361216477780238e+07 5.4349421756157771e+07 5.4334422500995450e+07 5.4315667930062845e+07 5.4292564811131887e+07 5.4264398024428502e+07 5.4230309378366187e+07 5.4189294955613501e+07 5.4140180767126016e+07 5.4081586598314852e+07 5.4011899939028166e+07 5.3929206805594340e+07 5.3830894018915594e+07 5.3712474025409862e+07 5.3568937759673111e+07 5.3397768931213789e+07 5.3196316408077575e+07 5.2960336751596391e+07 5.2684625494038008e+07 5.2363289529304363e+07 5.1989782269118264e+07 5.1556918099565461e+07 5.1056921011882938e+07 5.0481524454092279e+07 4.9822142648134343e+07 4.9070121050879471e+07 4.8217098946644589e+07 4.7255488726872265e+07 4.6179091771648474e+07 4.4983828181778699e+07 4.3565851635260537e+07 4.2012969564714953e+07 4.0334997501106188e+07 3.8548827041859381e+07 3.6678668955732353e+07 3.4755452847967923e+07 3.2815227330545351e+07 3.0896593457428347e+07 2.9037487394259628e+07 2.7271651829598833e+07 2.5625718487215240e+07 2.4117844602575723e+07 2.2757379936097272e+07 2.1544305703925427e+07 2.0471971384662297e+07 1.9529745060413267e+07 1.8704480689921871e+07 1.7982689460285131e+07 1.7351349168722678e+07 1.6799253647648696e+07 1.6316131044413559e+07 1.5893867014973264e+07 1.5524946414442247e+07 1.5203913603424897e+07 1.4925384035689496e+07 1.4684866068151217e+07 1.4478870397241786e+07 1.4303743351541910e+07 1.4155963609801132e+07 1.4032947700321410e+07 1.3931507548439180e+07 1.3849293712838655e+07 1.3783620662174579e+07 1.3732160108899593e+07 1.3691768161151947e+07 1.3659390975677703e+07 1.3632730819599245e+07 1.3609618179490607e+07 1.3587940111795535e+07 1.3572642603506383e+07 1.3557210083267031e+07 1.3541469386695368e+07 1.3524984757297575e+07 1.3507979815271035e+07 1.3489968151242273e+07 1.3471541422873382e+07 1.3451076287592100e+07 1.3429174106847720e+07 1.3405431825870298e+07 1.3379534707848819e+07 1.3351100296189018e+07 1.3319697744338622e+07 1.3284710931242323e+07 1.3246201475759121e+07 1.3202727685136758e+07 1.3153985798530132e+07 1.3099268558646072e+07 1.3037814846813267e+07 1.2968839753954452e+07 1.2891555987527458e+07 1.2805095623590065e+07 1.2709567683105195e+07 1.2603312412310459e+07 1.2486689880366450e+07 1.2359969881848747e+07 1.2224146371972272e+07 1.2080910494502420e+07 1.1933481149594683e+07 1.1786650821866427e+07 1.1648257249220748e+07 1.1528173851447470e+07 1.1441844998845257e+07 1.1410792957683086e+07 1.1466289027041795e+07 1.1653846424513005e+07 1.2042434585921969e+07 1.2741235588103322e+07 1.3934208039391374e+07 2.0798082201992127e+06 +1.2431377125709039e+01 5.4289484332068801e+07 5.4283983053959921e+07 5.4274611207092710e+07 5.4261967297389828e+07 5.4248511730609395e+07 5.4238333182881817e+07 5.4233361882544734e+07 5.4230423101717375e+07 5.4226085461544298e+07 5.4219353067284204e+07 5.4210258012609586e+07 5.4198483589612111e+07 5.4183511025047302e+07 5.4164790628064953e+07 5.4141730314839005e+07 5.4113616374193043e+07 5.4079592300370619e+07 5.4038656133641034e+07 5.3989636176362321e+07 5.3931154921522036e+07 5.3861603035870843e+07 5.3779070337949798e+07 5.3680948939701095e+07 5.3562760388908565e+07 5.3419505328572683e+07 5.3248672396143168e+07 5.3047616300042339e+07 5.2812102659577116e+07 5.2536938080680132e+07 5.2216242185633928e+07 5.1843482819015771e+07 5.1411490608669356e+07 5.0912507659212515e+07 5.0338287394988380e+07 4.9680265750370190e+07 4.8929811368799783e+07 4.8078587700498052e+07 4.7119031519941740e+07 4.6044967673376545e+07 4.4852337294873364e+07 4.3437543391974322e+07 4.1888221191927388e+07 4.0214184923136175e+07 3.8432308006079167e+07 3.6566762946160913e+07 3.4648419385989442e+07 3.2713245204081696e+07 3.0799744085687403e+07 2.8945745446559347e+07 2.7184885912794415e+07 2.5543702115143292e+07 2.4040274182724673e+07 2.2683897657382909e+07 2.1474528329712883e+07 2.0405513297808789e+07 1.9466234725361653e+07 1.8643573240834761e+07 1.7924072093934357e+07 1.7294743279380392e+07 1.6744411640679084e+07 1.6262835334500168e+07 1.5841924243575644e+07 1.5474186416973505e+07 1.5154183117236059e+07 1.4876546867883764e+07 1.4636800355694061e+07 1.4431465394264281e+07 1.4256900117608333e+07 1.4109594575344250e+07 1.3986973586763557e+07 1.3885859422342710e+07 1.3803910114875058e+07 1.3738448757184034e+07 1.3687154452424858e+07 1.3646893359026905e+07 1.3614621437046286e+07 1.3588048220685201e+07 1.3565011117920471e+07 1.3543404020147672e+07 1.3528156632932194e+07 1.3512774688814374e+07 1.3497085583779551e+07 1.3480654986254346e+07 1.3463705782114301e+07 1.3445753166328339e+07 1.3427386804817017e+07 1.3406988748810764e+07 1.3385158357374953e+07 1.3361493896801827e+07 1.3335681661868138e+07 1.3307340449524540e+07 1.3276040825335979e+07 1.3241168698071510e+07 1.3202785433063000e+07 1.3159454134903375e+07 1.3110872007489122e+07 1.3056334111663463e+07 1.2995081823397463e+07 1.2926332806267045e+07 1.2849302348181786e+07 1.2763125379943147e+07 1.2667910515633309e+07 1.2562003510859625e+07 1.2445763224899551e+07 1.2319458568084009e+07 1.2184080237817647e+07 1.2041313834964573e+07 1.1894367709354106e+07 1.1748018646860288e+07 1.1610078650691772e+07 1.1490388842995193e+07 1.1404342945850205e+07 1.1373392692586651e+07 1.1428706869029496e+07 1.1615649521877913e+07 1.2002964035818392e+07 1.2699474643757686e+07 1.3888536944510784e+07 2.0719839211350209e+06 +1.2436345448483298e+01 5.4138714948163353e+07 5.4133228713167600e+07 5.4123882447312571e+07 5.4111272518580750e+07 5.4097852280845016e+07 5.4087698673891313e+07 5.4082736591603681e+07 5.4079800236318544e+07 5.4075467693094335e+07 5.4068745543633759e+07 5.4059665472044893e+07 5.4047911338322707e+07 5.4032965447468877e+07 5.4014279198927969e+07 5.3991261655999951e+07 5.3963200514607809e+07 5.3929240952910766e+07 5.3888382966732495e+07 5.3839457147535957e+07 5.3781088692896999e+07 5.3711671443016954e+07 5.3629299014351830e+07 5.3531368803633288e+07 5.3413411448883981e+07 5.3270437291933805e+07 5.3099939893154927e+07 5.2899279792920291e+07 5.2664231656016022e+07 5.2389613147264048e+07 5.2069556599691145e+07 5.1697544269952290e+07 5.1266423002672479e+07 5.0768452986657247e+07 5.0195407588115349e+07 4.9538744413270533e+07 4.8789855245035879e+07 4.7940427645438977e+07 4.6982922710419342e+07 4.5911188684134722e+07 4.4721187659984984e+07 4.3309571535194896e+07 4.1763803502236277e+07 4.0093696405518889e+07 3.8316105430498213e+07 3.6455164799611628e+07 3.4541684225701064e+07 3.2611550950985055e+07 3.0703171457149476e+07 2.8854268637178361e+07 2.7098373324076455e+07 2.5461927339472547e+07 2.3962933978517003e+07 2.2610634799227849e+07 2.1404960330264207e+07 2.0339255385769799e+07 1.9402916250011969e+07 1.8582850208088316e+07 1.7865632527430017e+07 1.7238309334541440e+07 1.6689736416512512e+07 1.6209701865750009e+07 1.5790139730039852e+07 1.5423581189260529e+07 1.5104604361710351e+07 1.4827858791893026e+07 1.4588881455003187e+07 1.4384205249710632e+07 1.4210200080475330e+07 1.4063367334011452e+07 1.3941140096257625e+07 1.3840350951742729e+07 1.3758665385633748e+07 1.3693415089458879e+07 1.3642286535544774e+07 1.3602155903059863e+07 1.3569988926347336e+07 1.3543502385638645e+07 1.3520540590017976e+07 1.3499004245310569e+07 1.3483806825846421e+07 1.3468475303073732e+07 1.3452837631668691e+07 1.3436460900616845e+07 1.3419567263770387e+07 1.3401673515422897e+07 1.3383367336128350e+07 1.3363036154060474e+07 1.3341277332193477e+07 1.3317690453825913e+07 1.3291962842157906e+07 1.3263714543839268e+07 1.3232517532273592e+07 1.3197759739753000e+07 1.3159502279104456e+07 1.3116313037245110e+07 1.3067890180020567e+07 1.3013531079299167e+07 1.2952479598080043e+07 1.2883955964695802e+07 1.2807178039620910e+07 1.2721283599610915e+07 1.2626380853315478e+07 1.2520821048579706e+07 1.2404961838608634e+07 1.2279071252194073e+07 1.2144136738917928e+07 1.2001838373698259e+07 1.1855373988335200e+07 1.1709504717957145e+07 1.1572016910079058e+07 1.1452719487730978e+07 1.1366955679949872e+07 1.1336106902986180e+07 1.1391239743242819e+07 1.1577569533098966e+07 1.1963614297995703e+07 1.2657841522128608e+07 1.3843005640785920e+07 2.0641880683886688e+06 +1.2441313771257557e+01 5.3988310995525241e+07 5.3982839839875571e+07 5.3973519095871679e+07 5.3960943108055815e+07 5.3947558123559244e+07 5.3937429404342949e+07 5.3932476533408873e+07 5.3929542616044015e+07 5.3925215179925933e+07 5.3918503277398266e+07 5.3909438185387455e+07 5.3897704331457578e+07 5.3882785097393505e+07 5.3864132971612282e+07 5.3841158163389750e+07 5.3813149774192251e+07 5.3779254664313823e+07 5.3738474783045486e+07 5.3689643008517399e+07 5.3631387239933029e+07 5.3562104487544596e+07 5.3479892161541231e+07 5.3382152936904095e+07 5.3264426530982420e+07 5.3121732974610716e+07 5.2951570746394217e+07 5.2751306209800147e+07 5.2516723062879801e+07 5.2242650014470845e+07 5.1923232090652443e+07 5.1551965939277671e+07 5.1121714597028315e+07 5.0624756307557642e+07 5.0052884344384447e+07 4.9397577945146181e+07 4.8650251985214241e+07 4.7802618084243417e+07 4.6847161598176144e+07 4.5777754100975543e+07 4.4590378571618401e+07 4.3181935357190497e+07 4.1639715786686420e+07 3.9973531239230610e+07 3.8200218607964553e+07 3.6343873812936231e+07 3.4435246670704626e+07 3.2510143884517644e+07 3.0606874897854850e+07 2.8763056307787511e+07 2.7012113423362158e+07 2.5380393540236790e+07 2.3885823391420793e+07 2.2537590784852419e+07 2.1335601150283981e+07 2.0273197113915943e+07 1.9339789119068936e+07 1.8522311094202489e+07 1.7807370279495399e+07 1.7182046867496643e+07 1.6635227521403970e+07 1.6156730195950726e+07 1.5738513042280635e+07 1.5373130308155945e+07 1.5055176921506556e+07 1.4779319399155937e+07 1.4541108963407705e+07 1.4337089565974576e+07 1.4163642846813636e+07 1.4017281496122265e+07 1.3895446842138894e+07 1.3794981752488432e+07 1.3713559143052356e+07 1.3648519278567111e+07 1.3597555979154969e+07 1.3557555415208586e+07 1.3525493066393960e+07 1.3499092937989593e+07 1.3476206219932146e+07 1.3454740412043875e+07 1.3439592807423323e+07 1.3424311551634943e+07 1.3408725156387514e+07 1.3392402126896031e+07 1.3375563887179529e+07 1.3357728825987777e+07 1.3339482644761449e+07 1.3319218131875886e+07 1.3297530660434661e+07 1.3274021126729645e+07 1.3248377879209260e+07 1.3220222210436441e+07 1.3189127497311870e+07 1.3154483689400395e+07 1.3116351648047861e+07 1.3073304027553719e+07 1.3025039952870959e+07 1.2970859099819086e+07 1.2910007810805503e+07 1.2841708871088717e+07 1.2765182705810564e+07 1.2679569928938471e+07 1.2584978345164815e+07 1.2479764677406736e+07 1.2364285376655880e+07 1.2238807592846628e+07 1.2104315537687667e+07 1.1962483777080305e+07 1.1816499656974358e+07 1.1671108709657829e+07 1.1534071705673994e+07 1.1415165467267053e+07 1.1329682885164175e+07 1.1298935273746209e+07 1.1353887333017321e+07 1.1539606136330524e+07 1.1924385039874539e+07 1.2616335871337578e+07 1.3797613743388414e+07 2.0564205631725874e+06 +1.2446282094031815e+01 5.3838272156044222e+07 5.3832815808017969e+07 5.3823520501909338e+07 5.3810978395403340e+07 5.3797628588645950e+07 5.3787524704605170e+07 5.3782581037936516e+07 5.3779649570893928e+07 5.3775327251791455e+07 5.3768625598236546e+07 5.3759575482256234e+07 5.3747861898576327e+07 5.3732969304165900e+07 5.3714351275312513e+07 5.3691419166085780e+07 5.3663463481871158e+07 5.3629632763322689e+07 5.3588930911073782e+07 5.3540193087493502e+07 5.3482049890556172e+07 5.3412901497055978e+07 5.3330849106559508e+07 5.3233300666071311e+07 5.3115804961133607e+07 5.2973391701866627e+07 5.2803564280216925e+07 5.2603694874089524e+07 5.2369576202407621e+07 5.2096048003230333e+07 5.1777267977999099e+07 5.1406747144821234e+07 5.0977364707646191e+07 5.0481416935712717e+07 4.9910716975241713e+07 4.9256765654944643e+07 4.8511000895548470e+07 4.7665158320301853e+07 4.6711747483759634e+07 4.5644663221600465e+07 4.4459909325019345e+07 4.3054634151050642e+07 4.1515957337018400e+07 3.9853688716183960e+07 3.8084646832236275e+07 3.6232889284022264e+07 3.4329106025654890e+07 3.2409023319075234e+07 3.0510853734896623e+07 2.8672107801243611e+07 2.6926105571714342e+07 2.5299100098704405e+07 2.3808941824002672e+07 2.2464765038623177e+07 2.1266450235643689e+07 2.0207337948707391e+07 1.9276852818332829e+07 1.8461955402778924e+07 1.7749284869892254e+07 1.7125955412515458e+07 1.6580884502575314e+07 1.6103919883818621e+07 1.5687043749176372e+07 1.5322833351436796e+07 1.5005900382209571e+07 1.4730928282059407e+07 1.4493482479154868e+07 1.4290117946308132e+07 1.4117228024181943e+07 1.3971336672860220e+07 1.3849893438617758e+07 1.3749751441327590e+07 1.3668591005912632e+07 1.3603760944966111e+07 1.3552962405018821e+07 1.3513091518274795e+07 1.3481133480830871e+07 1.3454819502108006e+07 1.3432007632655945e+07 1.3410612145934582e+07 1.3395514203674138e+07 1.3380283060957139e+07 1.3364747784824342e+07 1.3348478292388093e+07 1.3331695280137580e+07 1.3313918726314353e+07 1.3295732359523498e+07 1.3275534311623063e+07 1.3253917972071039e+07 1.3230485546128135e+07 1.3204926404376103e+07 1.3176863081436019e+07 1.3145870353420177e+07 1.3111340180976216e+07 1.3073333174934890e+07 1.3030426742035981e+07 1.2982320963575536e+07 1.2928317812259471e+07 1.2867666102320304e+07 1.2799591168092476e+07 1.2723315991542460e+07 1.2637984015114654e+07 1.2543702640969222e+07 1.2438834050064156e+07 1.2323733494978167e+07 1.2198667249475373e+07 1.2064616297305685e+07 1.1923249712216679e+07 1.1777744386445902e+07 1.1632830297173701e+07 1.1496242716516642e+07 1.1377726463966981e+07 1.1292524246211573e+07 1.1261877490462704e+07 1.1316649322413187e+07 1.1501759010470489e+07 1.1885275929625886e+07 1.2574957340315724e+07 1.3752360868373623e+07 2.0486813070204433e+06 +1.2451250416806074e+01 5.3688597472043931e+07 5.3683156081028469e+07 5.3673886022085577e+07 5.3661377709343560e+07 5.3648063005859286e+07 5.3637983905449800e+07 5.3633049435578018e+07 5.3630120431059331e+07 5.3625803238839544e+07 5.3619111836281344e+07 5.3610076692605294e+07 5.3598383369500466e+07 5.3583517397498712e+07 5.3564933439611457e+07 5.3542043993467018e+07 5.3514140966844700e+07 5.3480374578946419e+07 5.3439750679508954e+07 5.3391106712909199e+07 5.3333075972865961e+07 5.3264061799283169e+07 5.3182169176778227e+07 5.3084811318042099e+07 5.2967546065617219e+07 5.2825412799267970e+07 5.2655919819324739e+07 5.2456445109532297e+07 5.2222790397263072e+07 5.1949806434832931e+07 5.1631663581533849e+07 5.1261887204752430e+07 5.0833372650857694e+07 5.0338434185315832e+07 4.9768904792603262e+07 4.9116306852067292e+07 4.8372101282731064e+07 4.7528047657415062e+07 4.6576679668161899e+07 4.5511915344357491e+07 4.4329779216011949e+07 4.2927667210503995e+07 4.1392527445871510e+07 3.9734168129109859e+07 3.7969389397956163e+07 3.6122210511713050e+07 3.4223261596210942e+07 3.2308188570018668e+07 3.0415107296551172e+07 2.8581422461487021e+07 2.6840349131312959e+07 2.5218046397235617e+07 2.3732288680063717e+07 2.2392156986089326e+07 2.1197507033354342e+07 2.0141677357755437e+07 1.9214106834706280e+07 1.8401782638481174e+07 1.7691375819402542e+07 1.7070034504929677e+07 1.6526706908268860e+07 1.6051270489078199e+07 1.5635731420565333e+07 1.5272689897871215e+07 1.4956774330344485e+07 1.4682685033877725e+07 1.4446001601367392e+07 1.4243289994870948e+07 1.4070955221027505e+07 1.3925532476286750e+07 1.3804479500778630e+07 1.3704659635844821e+07 1.3623760593856879e+07 1.3559139709939571e+07 1.3508505435734980e+07 1.3468763835912952e+07 1.3436909794177013e+07 1.3410681703215914e+07 1.3387944454053851e+07 1.3366619073430413e+07 1.3351570641462620e+07 1.3336389458309567e+07 1.3320905144679267e+07 1.3304689025292346e+07 1.3287961071291270e+07 1.3270242845522417e+07 1.3252116110049965e+07 1.3231984323493870e+07 1.3210438897904675e+07 1.3187083343473010e+07 1.3161608049815828e+07 1.3133636789782498e+07 1.3102745734422861e+07 1.3068328849250345e+07 1.3030446495575525e+07 1.2987680817715924e+07 1.2939732850504050e+07 1.2885906856504239e+07 1.2825454114182599e+07 1.2757602499159256e+07 1.2681577542386614e+07 1.2596525506069480e+07 1.2502553391314197e+07 1.2398028820060924e+07 1.2283305850282785e+07 1.2158649882267555e+07 1.2025038681691764e+07 1.1884135846973764e+07 1.1739107848678717e+07 1.1594669156470452e+07 1.1458529622377565e+07 1.1340402160896236e+07 1.1255479448537400e+07 1.1224933239410184e+07 1.1279525396193784e+07 1.1464027835129898e+07 1.1846286636190558e+07 1.2533705578763999e+07 1.3707246632648939e+07 2.0409702017862017e+06 +1.2456218739580333e+01 5.3539286124244027e+07 5.3533859647671312e+07 5.3524614972899690e+07 5.3512140380423665e+07 5.3498860705046073e+07 5.3488806338053204e+07 5.3483881056976087e+07 5.3480954527110964e+07 5.3476642471536800e+07 5.3469961321801215e+07 5.3460941146651886e+07 5.3449268074350819e+07 5.3434428707402959e+07 5.3415878794383422e+07 5.3393031975259356e+07 5.3365181558618255e+07 5.3331479440493636e+07 5.3290933417502642e+07 5.3242383213626452e+07 5.3184464815427899e+07 5.3115584722344205e+07 5.3033851699930817e+07 5.2936684219980076e+07 5.2819649171053864e+07 5.2677795592759669e+07 5.2508636688836768e+07 5.2309556240256682e+07 5.2076364970417269e+07 5.1803924631100029e+07 5.1486418221618302e+07 5.1117385437703401e+07 5.0689737743351996e+07 5.0195807371045120e+07 4.9627447108856335e+07 4.8976200846345581e+07 4.8233552454004988e+07 4.7391285400138646e+07 4.6441957453111336e+07 4.5379509768205926e+07 4.4199987541166320e+07 4.2801033830093198e+07 4.1269425406619154e+07 3.9614968771589883e+07 3.7854445600725397e+07 3.6011836795778289e+07 3.4117712689078465e+07 3.2207638953963671e+07 3.0319634912209447e+07 2.8490999633680467e+07 2.6754843465592816e+07 2.5137231819429029e+07 2.3655863364534080e+07 2.2319766053972427e+07 2.1128770991548978e+07 2.0076214809766751e+07 1.9151550656173311e+07 1.8341792307031050e+07 1.7633642649897881e+07 1.7014283681031458e+07 1.6472694287744798e+07 1.5998781572415246e+07 1.5584575627233049e+07 1.5222699527120698e+07 1.4907798353320135e+07 1.4634589248798667e+07 1.4398665930088621e+07 1.4196605316723341e+07 1.4024824046659825e+07 1.3879868519329481e+07 1.3759204644578937e+07 1.3659705954500893e+07 1.3579067527372828e+07 1.3514655195656909e+07 1.3464184694781618e+07 1.3424571992629420e+07 1.3392821631789282e+07 1.3366679167374000e+07 1.3344016310805976e+07 1.3322760821809012e+07 1.3307761748491410e+07 1.3292630371822361e+07 1.3277196864519376e+07 1.3261033954605838e+07 1.3244360890114190e+07 1.3226700813587144e+07 1.3208633526823610e+07 1.3188567798538920e+07 1.3167093069571968e+07 1.3143814151074078e+07 1.3118422448521838e+07 1.3090542969252544e+07 1.3059753274961645e+07 1.3025449329816081e+07 1.2987691246634481e+07 1.2945065892448341e+07 1.2897275252854384e+07 1.2843625873239255e+07 1.2783371488783088e+07 1.2715742508569317e+07 1.2639967004743811e+07 1.2555194050581181e+07 1.2461530247579442e+07 1.2357348641697036e+07 1.2243002100068202e+07 1.2118755152193632e+07 1.1985582355547713e+07 1.1845141849987712e+07 1.1700589716334553e+07 1.1556624964255001e+07 1.1420932103752652e+07 1.1303192241829541e+07 1.1218548178293515e+07 1.1188102207607459e+07 1.1242515239838617e+07 1.1426412290632701e+07 1.1807416829245109e+07 1.2492580237209896e+07 1.3662270654021136e+07 2.0332871496431830e+06 +1.2461187062354592e+01 5.3390337866033487e+07 5.3384926024210028e+07 5.3375706660503924e+07 5.3363265743074559e+07 5.3350021016267858e+07 5.3339991333792143e+07 5.3335075233140759e+07 5.3332151189938053e+07 5.3327844280603804e+07 5.3321173385431498e+07 5.3312168174961381e+07 5.3300515343562409e+07 5.3285702564180404e+07 5.3267186669758372e+07 5.3244382441470705e+07 5.3216584587085813e+07 5.3182946677584454e+07 5.3142478454426564e+07 5.3094021918776631e+07 5.3036215747025751e+07 5.2967469594746076e+07 5.2885896004010119e+07 5.2788918699371800e+07 5.2672113604417078e+07 5.2530539408567525e+07 5.2361714214233607e+07 5.2163027590746433e+07 5.1930299245265275e+07 5.1658401914052621e+07 5.1341531218826793e+07 5.0973241162668541e+07 5.0546459302391179e+07 5.0053535808008745e+07 4.9486343236818008e+07 4.8836446948169053e+07 4.8095353717114143e+07 4.7254870853433385e+07 4.6307580140816279e+07 4.5247445792764619e+07 4.4070533597692557e+07 4.2674733305027753e+07 4.1146650513439916e+07 3.9496089938092694e+07 3.7739814737008929e+07 3.5901767437057137e+07 3.4012458611935653e+07 3.2107373788428128e+07 3.0224435912335992e+07 2.8400838664086334e+07 2.6669587939131737e+07 2.5056655750051185e+07 2.3579665283555061e+07 2.2247591670122150e+07 2.1060241559551079e+07 2.0010949774584409e+07 1.9089183771829497e+07 1.8281983915252451e+07 1.7576084884222388e+07 1.6958702478166930e+07 1.6418846191186642e+07 1.5946452695481405e+07 1.5533575940928973e+07 1.5172861819793416e+07 1.4858972039526684e+07 1.4586640521909760e+07 1.4351475066246284e+07 1.4150063517786544e+07 1.3978834111282082e+07 1.3834344415797992e+07 1.3714068486842116e+07 1.3614890016612329e+07 1.3534511427851075e+07 1.3470307025104046e+07 1.3419999806453899e+07 1.3380515613782946e+07 1.3348868619863050e+07 1.3322811521515878e+07 1.3300222830462869e+07 1.3279037019203454e+07 1.3264087153313231e+07 1.3249005430466278e+07 1.3233622573752495e+07 1.3217512710183840e+07 1.3200894366930190e+07 1.3183292261331009e+07 1.3165284241150575e+07 1.3145284368623158e+07 1.3123880119556658e+07 1.3100677602046998e+07 1.3075369234344458e+07 1.3047581254470238e+07 1.3016892610504609e+07 1.2982701259123970e+07 1.2945067065592410e+07 1.2902581604898246e+07 1.2854947810617710e+07 1.2801474503968243e+07 1.2741417869294157e+07 1.2674010841386834e+07 1.2598484025796244e+07 1.2513989298203310e+07 1.2420632861933919e+07 1.2316793170029676e+07 1.2202821902593879e+07 1.2078982720992992e+07 1.1946246984327281e+07 1.1806267390633482e+07 1.1662189662835589e+07 1.1518697397937978e+07 1.1383449841840481e+07 1.1266096391269818e+07 1.1181730122337626e+07 1.1151384082763519e+07 1.1205618539547507e+07 1.1388912058051802e+07 1.1768666179215025e+07 1.2451580966945801e+07 1.3617432551124431e+07 2.0256320530831334e+06 +1.2466155385128850e+01 5.3241751583378106e+07 5.3236354624165438e+07 5.3227160440974422e+07 5.3214753134596623e+07 5.3201543269917965e+07 5.3191538224412203e+07 5.3186631295330718e+07 5.3183709750735469e+07 5.3179407997160673e+07 5.3172747358228348e+07 5.3163757108435430e+07 5.3152124507934876e+07 5.3137338298455104e+07 5.3118856396295197e+07 5.3096094722471423e+07 5.3068349382410675e+07 5.3034775620218828e+07 5.2994385120046243e+07 5.2946022157786831e+07 5.2888328096795075e+07 5.2819715745245881e+07 5.2738301417415194e+07 5.2641514084197424e+07 5.2524938693008453e+07 5.2383643573327519e+07 5.2215151721251011e+07 5.2016858485828899e+07 5.1784592545583628e+07 5.1513237606263347e+07 5.1197001894294843e+07 5.0829453699090518e+07 5.0403536645498715e+07 4.9911618811775342e+07 4.9345592489814974e+07 4.8697044468485564e+07 4.7957504380310662e+07 4.7118803322872743e+07 4.6173547034139961e+07 4.5115722718280643e+07 4.3941416683521226e+07 4.2548764931319714e+07 4.1024202061311945e+07 3.9377530923862264e+07 3.7625496104218461e+07 3.5792001737291552e+07 3.3907498673587829e+07 3.2007392392118160e+07 3.0129509628575586e+07 2.8310938900137477e+07 2.6584581917626958e+07 2.4976317575047728e+07 2.3503693844423994e+07 2.2175633263586950e+07 2.0991918187782466e+07 1.9945881723167975e+07 1.9027005671839830e+07 1.8222356970996514e+07 1.7518702046332244e+07 1.6903290434705060e+07 1.6365162169852478e+07 1.5894283420922976e+07 1.5482731934348783e+07 1.5123176357438492e+07 1.4810294978230380e+07 1.4538838449252242e+07 1.4304428611675648e+07 1.4103664204907702e+07 1.3932985025980089e+07 1.3788959780377921e+07 1.3669070645251926e+07 1.3570211442365823e+07 1.3490091917493729e+07 1.3426094822159378e+07 1.3375950395941852e+07 1.3336594325569987e+07 1.3305050385463448e+07 1.3279078393394975e+07 1.3256563641405281e+07 1.3235447294600131e+07 1.3220546485320831e+07 1.3205514264055703e+07 1.3190181902608627e+07 1.3174124922711009e+07 1.3157561132892827e+07 1.3140016820397612e+07 1.3122067885193650e+07 1.3102133666462084e+07 1.3080799681153154e+07 1.3057673330343591e+07 1.3032448041942921e+07 1.3004751280873531e+07 1.2974163377352569e+07 1.2940084274403531e+07 1.2902573590751171e+07 1.2860227594575133e+07 1.2812750164626628e+07 1.2759452391016774e+07 1.2699592899715900e+07 1.2632407143502893e+07 1.2557128253536636e+07 1.2472910899286376e+07 1.2379860887337945e+07 1.2276362060937077e+07 1.2162764916916763e+07 1.2039332251170874e+07 1.1907032234231912e+07 1.1767512139020963e+07 1.1623907362312736e+07 1.1480886135684699e+07 1.1346082518587943e+07 1.1229114294448067e+07 1.1145024968244359e+07 1.1114778553296054e+07 1.1168834982226294e+07 1.1351526819163892e+07 1.1730034357268121e+07 1.2410707420065172e+07 1.3572731943478255e+07 2.0180048149152817e+06 +1.2471123707903109e+01 5.3093526920332454e+07 5.3088144813695833e+07 5.3078975685707353e+07 5.3066601892006785e+07 5.3053426796817631e+07 5.3043446341860205e+07 5.3038548575189568e+07 5.3035629540985882e+07 5.3031332952528469e+07 5.3024682571458951e+07 5.3015707278244950e+07 5.3004094898529492e+07 5.2989335241268463e+07 5.2970887304804713e+07 5.2948168148913108e+07 5.2920475275058798e+07 5.2886965598690748e+07 5.2846652744378798e+07 5.2798383260504626e+07 5.2740801194259487e+07 5.2672322503001131e+07 5.2591067268829741e+07 5.2494469702693872e+07 5.2378123764473222e+07 5.2237107414042354e+07 5.2068948536073029e+07 5.1871048250815444e+07 5.1639244195451431e+07 5.1368431030557290e+07 5.1052829569402643e+07 5.0686022366834015e+07 5.0260969090766035e+07 4.9770055698309317e+07 4.9205194181632370e+07 4.8557992718568549e+07 4.7820003752385095e+07 4.6983082114621840e+07 4.6039857436580919e+07 4.4984339845628724e+07 4.3812636097241439e+07 4.2423128005666666e+07 4.0902079345973365e+07 3.9259291025097556e+07 3.7511489000692554e+07 3.5682538999181762e+07 3.3802832183796890e+07 3.1907694084780391e+07 3.0034855393664263e+07 2.8221299690444693e+07 2.6499824768023040e+07 2.4896216681524631e+07 2.3427948455600370e+07 2.2103890264540017e+07 2.0923800327811632e+07 1.9881010127579741e+07 1.8965015847480517e+07 1.8162910983189493e+07 1.7461493661161639e+07 1.6848047089985386e+07 1.6311641775932744e+07 1.5842273312328443e+07 1.5432043181150693e+07 1.5073642722547891e+07 1.4761766759650378e+07 1.4491182627712626e+07 1.4257526169119056e+07 1.4057406985785050e+07 1.3887276402710123e+07 1.3743714228614168e+07 1.3624210738375656e+07 1.3525669852803838e+07 1.3445808619383410e+07 1.3382018211551188e+07 1.3332036089238226e+07 1.3292807755050341e+07 1.3261366556492042e+07 1.3235479411631456e+07 1.3213038372865805e+07 1.3191991277799062e+07 1.3177139374741267e+07 1.3162156503249191e+07 1.3146874482183924e+07 1.3130870223733563e+07 1.3114360819996214e+07 1.3096874123275286e+07 1.3078984091934765e+07 1.3059115325600669e+07 1.3037851388507329e+07 1.3014800970750691e+07 1.2989658506800745e+07 1.2962052684722682e+07 1.2931565212635502e+07 1.2897598013750827e+07 1.2860210461246837e+07 1.2818003501770023e+07 1.2770681956512749e+07 1.2717559177494112e+07 1.2657896224844940e+07 1.2590931061584273e+07 1.2515899336745938e+07 1.2431958504966184e+07 1.2339213977528615e+07 1.2236054971046336e+07 1.2122830802844441e+07 1.1999803405989962e+07 1.1867937772245906e+07 1.1728875766032595e+07 1.1585742489665950e+07 1.1443190856387030e+07 1.1308829816648940e+07 1.1192245637269218e+07 1.1108432404293459e+07 1.1078285308338316e+07 1.1132164255479585e+07 1.1314256256485205e+07 1.1691521035327848e+07 1.2369959249462243e+07 1.3528168451459890e+07 2.0104053382654181e+06 +1.2476092030677368e+01 5.2945663256443404e+07 5.2940295858463563e+07 5.2931151738928184e+07 5.2918811347879261e+07 5.2905670928421557e+07 5.2895715018296681e+07 5.2890826404583782e+07 5.2887909892527163e+07 5.2883618478503734e+07 5.2876978356737792e+07 5.2868018015908502e+07 5.2856425846766151e+07 5.2841692723835915e+07 5.2823278726456769e+07 5.2800602051831096e+07 5.2772961595901638e+07 5.2739515943611376e+07 5.2699280657893986e+07 5.2651104557053573e+07 5.2593634369306631e+07 5.2525289197487734e+07 5.2444192887379408e+07 5.2347784883384444e+07 5.2231668146855310e+07 5.2090930258035369e+07 5.1923103985242434e+07 5.1725596211204104e+07 5.1494253519463576e+07 5.1223981510259196e+07 5.0909013566126078e+07 5.0542946486166984e+07 5.0118755956619494e+07 4.9628845784166202e+07 4.9065147626527935e+07 4.8419291010349676e+07 4.7682851142729536e+07 4.6847706535379544e+07 4.5906510652150713e+07 4.4853296476355277e+07 4.3684191138191521e+07 4.2297821825574890e+07 4.0780281664027467e+07 3.9141369538801253e+07 3.7397792725660495e+07 3.5573378526476212e+07 3.3698458453380600e+07 3.1808278187263589e+07 2.9940472541448608e+07 2.8131920384720415e+07 2.6415315858380653e+07 2.4816352457788967e+07 2.3352428526729748e+07 2.2032362104341492e+07 2.0855887432365768e+07 1.9816334461016182e+07 1.8903213791097928e+07 1.8103645461832549e+07 1.7404459254735962e+07 1.6792971984418921e+07 1.6258284562645247e+07 1.5790421934289390e+07 1.5381509255933238e+07 1.5024260498548752e+07 1.4713386974885536e+07 1.4443672655146103e+07 1.4210767342188166e+07 1.4011291469025111e+07 1.3841707854307372e+07 1.3698607376939218e+07 1.3579488385611383e+07 1.3481264869833320e+07 1.3401661157452218e+07 1.3338076818827713e+07 1.3288256513235690e+07 1.3249155530136593e+07 1.3217816761680411e+07 1.3192014205652906e+07 1.3169646654914550e+07 1.3148668599462116e+07 1.3133865452640902e+07 1.3118931779527836e+07 1.3103699944381587e+07 1.3087748245615106e+07 1.3071293061065093e+07 1.3053863803281553e+07 1.3036032495181540e+07 1.3016228980409250e+07 1.2995034876595028e+07 1.2972060158896087e+07 1.2947000265245894e+07 1.2919485103117624e+07 1.2889097754285296e+07 1.2855242116058530e+07 1.2817977317007743e+07 1.2775908967606727e+07 1.2728742828741044e+07 1.2675794507355925e+07 1.2616327490290606e+07 1.2549582243113665e+07 1.2474796925006349e+07 1.2391131767182585e+07 1.2298691787049970e+07 1.2195871557784986e+07 1.2083019220959103e+07 1.1960395849488597e+07 1.1828963266085207e+07 1.1690357943272062e+07 1.1547694720520450e+07 1.1405611239660492e+07 1.1271691419405224e+07 1.1155490106388493e+07 1.1071952119489973e+07 1.1041904037716992e+07 1.1095606047651166e+07 1.1277100053235013e+07 1.1653125886062767e+07 1.2329336108793454e+07 1.3483741696332680e+07 2.0028335265749602e+06 +1.2481060353451626e+01 5.2798159657783113e+07 5.2792807004529245e+07 5.2783687899339259e+07 5.2771380829225935e+07 5.2758274996775798e+07 5.2748343586056098e+07 5.2743464115836546e+07 5.2740550137542784e+07 5.2736263907080919e+07 5.2729634046060681e+07 5.2720688653364837e+07 5.2709116684440747e+07 5.2694410077835858e+07 5.2676029992764153e+07 5.2653395762535244e+07 5.2625807676068969e+07 5.2592425985969782e+07 5.2552268191296563e+07 5.2504185377923898e+07 5.2446826952039860e+07 5.2378615158519864e+07 5.2297677602417655e+07 5.2201458955236450e+07 5.2085571168541946e+07 5.1945111433035724e+07 5.1777617395693861e+07 5.1580501693010807e+07 5.1349619842492759e+07 5.1079888369035117e+07 5.0765553206627637e+07 5.0400225377791993e+07 4.9976896562002577e+07 4.9487988386214904e+07 4.8925452139313221e+07 4.8280938656232059e+07 4.7546045861229606e+07 4.6712675892407112e+07 4.5773505985570394e+07 4.4722591912640423e+07 4.3556081106349401e+07 4.2172845689228773e+07 4.0658808312810823e+07 3.9023765762840569e+07 3.7284406579315960e+07 3.5464519623881556e+07 3.3594376794234663e+07 3.1709144021504406e+07 2.9846360406926159e+07 2.8042800333888009e+07 2.6331054557971794e+07 2.4736724293292660e+07 2.3277133468657382e+07 2.1961048215486772e+07 2.0788178955315415e+07 1.9751854197778471e+07 1.8841598996164080e+07 1.8044559917984731e+07 1.7347598354076773e+07 1.6738064659394037e+07 1.6205090084157664e+07 1.5738728852328457e+07 1.5331129734242110e+07 1.4975029269769343e+07 1.4665155215994105e+07 1.4396308130260698e+07 1.4164151735409489e+07 1.3965317264110440e+07 1.3796278994495761e+07 1.3653638842640761e+07 1.3534903207242772e+07 1.3436996116222501e+07 1.3357649156473650e+07 1.3294270270428281e+07 1.3244611295642154e+07 1.3205637279561995e+07 1.3174400630638756e+07 1.3148682405783743e+07 1.3126388118467195e+07 1.3105478891092207e+07 1.3090724350938935e+07 1.3075839725228392e+07 1.3060657921970205e+07 1.3044758621549688e+07 1.3028357489772758e+07 1.3010985494572120e+07 1.2993212729600770e+07 1.2973474266103176e+07 1.2952349781212749e+07 1.2929450531209262e+07 1.2904472954431847e+07 1.2877048173974311e+07 1.2846760641083095e+07 1.2813016221044907e+07 1.2775873798810907e+07 1.2733943634055402e+07 1.2686932424569406e+07 1.2634158025349265e+07 1.2574886342479860e+07 1.2508360336384906e+07 1.2433820668714600e+07 1.2350430338669874e+07 1.2258293971200651e+07 1.2155811479351927e+07 1.2043329832637137e+07 1.1921109246457463e+07 1.1790108384225324e+07 1.1651958343122914e+07 1.1509763731231976e+07 1.1368146965854434e+07 1.1234667010956580e+07 1.1118847389166165e+07 1.1035583803508904e+07 1.1005634431984190e+07 1.1059160047765749e+07 1.1240057893369468e+07 1.1614848582879851e+07 1.2288837652528320e+07 1.3439451300173419e+07 1.9952892836000239e+06 +1.2486028676225885e+01 5.2651015568827227e+07 5.2645677610647723e+07 5.2636583483784594e+07 5.2624309660035491e+07 5.2611238334630117e+07 5.2601331377724543e+07 5.2596461041481540e+07 5.2593549608564474e+07 5.2589268570684046e+07 5.2582648971710540e+07 5.2573718522741087e+07 5.2562166743632168e+07 5.2547486635284126e+07 5.2529140435529038e+07 5.2506548612759657e+07 5.2479012847118922e+07 5.2445695057088189e+07 5.2405614675697051e+07 5.2357625053941630e+07 5.2300378272976309e+07 5.2232299716285773e+07 5.2151520743755311e+07 5.2055491247522458e+07 5.1939832158274919e+07 5.1799650267080866e+07 5.1632488094709024e+07 5.1435764022609159e+07 5.1205342489818551e+07 5.0936150930974625e+07 5.0622447813732557e+07 5.0257858362827338e+07 4.9835390226297185e+07 4.9347482821926221e+07 4.8786107035162605e+07 4.8142934969122641e+07 4.7409587218255527e+07 4.6577989493571825e+07 4.5640842742084123e+07 4.4592225457361124e+07 4.3428305302417248e+07 4.2048198895606577e+07 4.0537658590594299e+07 3.8906478995982148e+07 3.7171329862700336e+07 3.5355961597032629e+07 3.3490586519170441e+07 3.1610290910474960e+07 2.9752518326204069e+07 2.7953938889917020e+07 2.6247040237198457e+07 2.4657331578710131e+07 2.3202062693332344e+07 2.1889948031664796e+07 2.0720674351624135e+07 1.9687568813284330e+07 1.8780170957203679e+07 1.7985653863780603e+07 1.7290910487258632e+07 1.6683324657304928e+07 1.6152057895675452e+07 1.5687193632967679e+07 1.5280904192588424e+07 1.4925948621512435e+07 1.4617071075935129e+07 1.4349088652697431e+07 1.4117678954188338e+07 1.3919483981419709e+07 1.3750989437852392e+07 1.3608808243885754e+07 1.3490454824434265e+07 1.3392863215571105e+07 1.3313772242104610e+07 1.3250598193607770e+07 1.3201100065008055e+07 1.3162252632917663e+07 1.3131117793787042e+07 1.3105483643139713e+07 1.3083262395264860e+07 1.3062421785026727e+07 1.3047715702393720e+07 1.3032879973516529e+07 1.3017748048541615e+07 1.3001900985586122e+07 1.2985553740612810e+07 1.2968238832135906e+07 1.2950524430674361e+07 1.2930850818717156e+07 1.2909795738999233e+07 1.2886971724979535e+07 1.2862076212320091e+07 1.2834741536039125e+07 1.2804553512624808e+07 1.2770919969249016e+07 1.2733899548236396e+07 1.2692107143843031e+07 1.2645250388064271e+07 1.2592649377027631e+07 1.2533572428624762e+07 1.2467264990494002e+07 1.2392970219034811e+07 1.2309853872930098e+07 1.2218020186103286e+07 1.2115874394716278e+07 1.2003762300006853e+07 1.1881943262473773e+07 1.1751372795921104e+07 1.1613676638694966e+07 1.1471949198917385e+07 1.1330797716037842e+07 1.1197756276120873e+07 1.1082317173667166e+07 1.0999327146775424e+07 1.0969476182372674e+07 1.1022825945571676e+07 1.1203129461548775e+07 1.1576688799930336e+07 1.2248463535902141e+07 1.3395296885960812e+07 1.9877725134105040e+06 +1.2490996999000144e+01 5.2504230542606458e+07 5.2498907007740073e+07 5.2489837830752291e+07 5.2477597165467225e+07 5.2464560275085635e+07 5.2454677726122268e+07 5.2449816514445528e+07 5.2446907638350405e+07 5.2442631802104130e+07 5.2436022466395833e+07 5.2427106956674784e+07 5.2415575356810294e+07 5.2400921728455037e+07 5.2382609386979617e+07 5.2360059934512466e+07 5.2332576440910548e+07 5.2299322488646135e+07 5.2259319442518786e+07 5.2211422916315772e+07 5.2154287663064770e+07 5.2086342201331794e+07 5.2005721641541086e+07 5.1909881089967176e+07 5.1794450445126146e+07 5.1654546088664323e+07 5.1487715409908332e+07 5.1291382526753142e+07 5.1061420787156083e+07 5.0792768520587787e+07 5.0479696710477628e+07 5.0115844762842923e+07 4.9694236269312903e+07 4.9207328409128785e+07 4.8647111629886463e+07 4.8005279262445077e+07 4.7273474524878345e+07 4.6443646647335760e+07 4.5508520227632627e+07 4.4462196413996235e+07 4.3300863027743146e+07 4.1923880744461492e+07 4.0416831796267830e+07 3.8789508537805922e+07 3.7058561877891406e+07 3.5247703752616465e+07 3.3387086942203842e+07 3.1511718178329766e+07 2.9658945636506081e+07 2.7865335406109627e+07 2.6163272267654859e+07 2.4578173705831245e+07 2.3127215613930408e+07 2.1819060987686954e+07 2.0653373077458911e+07 1.9623477784073591e+07 1.8718929169838652e+07 1.7926926812385160e+07 1.7234395183390196e+07 1.6628751521582335e+07 1.6099187553348430e+07 1.5635815843678199e+07 1.5230832208406132e+07 1.4877018139997106e+07 1.4569134148571538e+07 1.4302013823009072e+07 1.4071348604836751e+07 1.3873791232197041e+07 1.3705838799856449e+07 1.3564115199690331e+07 1.3446142859177571e+07 1.3348865792372579e+07 1.3270030040833453e+07 1.3207060216490470e+07 1.3157722450747743e+07 1.3119001220656961e+07 1.3087967882412314e+07 1.3062417549710719e+07 1.3040269117919004e+07 1.3019496914430968e+07 1.3004839140577096e+07 1.2990052158404518e+07 1.2974969958515231e+07 1.2959174972598273e+07 1.2942881448922515e+07 1.2925623451782800e+07 1.2907967234718200e+07 1.2888358275126249e+07 1.2867372387413707e+07 1.2844623378300028e+07 1.2819809677719500e+07 1.2792564828877511e+07 1.2762476009319136e+07 1.2728953002043754e+07 1.2692054207675135e+07 1.2650399140558314e+07 1.2603696364125745e+07 1.2551268208755136e+07 1.2492385396748163e+07 1.2426295855317609e+07 1.2352245227947801e+07 1.2269402024293575e+07 1.2177870088620368e+07 1.2076059963637341e+07 1.1964316285968319e+07 1.1842897563848052e+07 1.1712756171156952e+07 1.1575512503843661e+07 1.1434250801401323e+07 1.1293563172020018e+07 1.1160958900435200e+07 1.1045899148673290e+07 1.0963181840386426e+07 1.0933428980849193e+07 1.0986603431516960e+07 1.1166314443165250e+07 1.1538646212118037e+07 1.2208213414955227e+07 1.3351278077519894e+07 1.9802831203891470e+06 +1.2495965321774403e+01 5.2357803604827218e+07 5.2352494621157028e+07 5.2343450272716068e+07 5.2331242674774237e+07 5.2318240151760668e+07 5.2308381964227825e+07 5.2303529867933437e+07 5.2300623560185291e+07 5.2296352934344955e+07 5.2289753863025971e+07 5.2280853287963219e+07 5.2269341856706426e+07 5.2254714690017298e+07 5.2236436179669797e+07 5.2213929060226627e+07 5.2186497789654508e+07 5.2153307612677366e+07 5.2113381823620133e+07 5.2065578296551302e+07 5.2008554453556418e+07 5.1940741944547005e+07 5.1860279626235969e+07 5.1764627812536009e+07 5.1649425358615488e+07 5.1509798226579443e+07 5.1343298669399530e+07 5.1147356532592818e+07 5.0917854060654208e+07 5.0649740462789245e+07 5.0337299220447250e+07 4.9974183899870574e+07 4.9553434011301108e+07 4.9067524466191366e+07 4.8508465239685044e+07 4.7867970850133672e+07 4.7137707092559494e+07 4.6309646662729539e+07 4.5376537748748824e+07 4.4332504086717598e+07 4.3173753584499545e+07 4.1799890536239065e+07 4.0296327229729913e+07 3.8672853688825414e+07 3.6946101927795544e+07 3.5139745398265384e+07 3.3283877378269006e+07 3.1413425150175460e+07 2.9565641676209141e+07 2.7776989236724064e+07 2.6079750022102013e+07 2.4499250067670904e+07 2.3052591644788343e+07 2.1748386519524902e+07 2.0586274590080552e+07 1.9559580587799978e+07 1.8657873130793288e+07 1.7868378278037935e+07 1.7178051972625151e+07 1.6574344796647523e+07 1.6046478614342786e+07 1.5584595052891625e+07 1.5180913360110302e+07 1.4828237412360173e+07 1.4521344028705284e+07 1.4255083242615895e+07 1.4025160294560311e+07 1.3828238628567420e+07 1.3660826696820401e+07 1.3519559329967003e+07 1.3401966934338866e+07 1.3305003471957620e+07 1.3226422180007327e+07 1.3163655968038319e+07 1.3114478083128836e+07 1.3075882674043184e+07 1.3044950528616039e+07 1.3019483758307505e+07 1.2997407919855781e+07 1.2976703913326008e+07 1.2962094299925148e+07 1.2947355914709570e+07 1.2932323287161946e+07 1.2916580218276901e+07 1.2900340250861101e+07 1.2883138990163196e+07 1.2865540778868904e+07 1.2845996273016615e+07 1.2825079364727765e+07 1.2802405130100990e+07 1.2777672990254490e+07 1.2750517692882363e+07 1.2720527772409227e+07 1.2687114961588798e+07 1.2650337420350382e+07 1.2608819268595366e+07 1.2562269998446850e+07 1.2510014167705495e+07 1.2451324895684298e+07 1.2385452581536293e+07 1.2311645348223757e+07 1.2229074447838815e+07 1.2137843336446108e+07 1.2036367846648527e+07 1.1924991454196787e+07 1.1803971817671714e+07 1.1674258180672178e+07 1.1537465613168938e+07 1.1396668217268007e+07 1.1256443016328136e+07 1.1124274570152806e+07 1.1009593003669010e+07 1.0927147576153031e+07 1.0897492520041870e+07 1.0950492196751192e+07 1.1129612524321217e+07 1.1500720495071489e+07 1.2168086946496200e+07 1.3307394499530798e+07 1.9728210092306312e+06 +1.2500933644548661e+01 5.2211733863699488e+07 5.2206439736221813e+07 5.2197420135364845e+07 5.2185245521649212e+07 5.2172277298690245e+07 5.2162443425388671e+07 5.2157600435597539e+07 5.2154696707572244e+07 5.2150431300834551e+07 5.2143842495022371e+07 5.2134956849909946e+07 5.2123465576531656e+07 5.2108864853040099e+07 5.2090620146442033e+07 5.2068155322579898e+07 5.2040776225939333e+07 5.2007649761492036e+07 5.1967801151095629e+07 5.1920090526585370e+07 5.1863177976013839e+07 5.1795498277226202e+07 5.1715194028765440e+07 5.1619730745684527e+07 5.1504756228624791e+07 5.1365406010065563e+07 5.1199237201625116e+07 5.1003685367643654e+07 5.0774641636779353e+07 5.0507066082889400e+07 5.0195254667631172e+07 4.9832875096333772e+07 4.9412982773055375e+07 4.8928070311964169e+07 4.8370167181301467e+07 4.7731009046733573e+07 4.7002284233402655e+07 4.6175988849371403e+07 4.5244894612561397e+07 4.4203147780340880e+07 4.3046976275459297e+07 4.1676227572170191e+07 4.0176144191540271e+07 3.8556513750352889e+07 3.6833949316323124e+07 3.5032085842622675e+07 3.3180957143347677e+07 3.1315411152334053e+07 2.9472605784805905e+07 2.7688899737317454e+07 2.5996472874466177e+07 2.4420560058407746e+07 2.2978190201404098e+07 2.1677924064351015e+07 2.0519378347888324e+07 1.9495876703205377e+07 1.8597002337853100e+07 1.7810007776039813e+07 1.7121880386102121e+07 1.6520104027922014e+07 1.5993930636794252e+07 1.5533530830043873e+07 1.5131147227028579e+07 1.4779606026679087e+07 1.4473700312040983e+07 1.4208296513863090e+07 1.3979113631420115e+07 1.3782825783550706e+07 1.3615952745975092e+07 1.3475140255459366e+07 1.3357926673646498e+07 1.3261275880504608e+07 1.3182948287803782e+07 1.3120385078080069e+07 1.3071366593239207e+07 1.3032896625207432e+07 1.3002065365366749e+07 1.2976681902590061e+07 1.2954678435326595e+07 1.2934042416550763e+07 1.2919480815683682e+07 1.2904790878120584e+07 1.2889807670578839e+07 1.2874116359185724e+07 1.2857929783431545e+07 1.2840785084776213e+07 1.2823244701116890e+07 1.2803764450915845e+07 1.2782916310072880e+07 1.2760316620128239e+07 1.2735665790373690e+07 1.2708599769269386e+07 1.2678708443939913e+07 1.2645405490901073e+07 1.2608748830287926e+07 1.2567367173125759e+07 1.2520970937545918e+07 1.2468886901851695e+07 1.2410390575059880e+07 1.2344734820645424e+07 1.2271170233414235e+07 1.2188870799452649e+07 1.2097939588018274e+07 1.1996797705051277e+07 1.1885787469128868e+07 1.1765165691795470e+07 1.1635878495951748e+07 1.1499535642017126e+07 1.1359201125821073e+07 1.1219436932208400e+07 1.1087702972250221e+07 1.0973398428848827e+07 1.0891224046609150e+07 1.0861666493321003e+07 1.0914491933151707e+07 1.1093023391843192e+07 1.1462911325178556e+07 1.2128083788145598e+07 1.3263645777532838e+07 1.9653860849406554e+06 +1.2505901967322920e+01 5.2066021006728418e+07 5.2060741704593383e+07 5.2051746728649385e+07 5.2039605042940423e+07 5.2026671050227523e+07 5.2016861443242088e+07 5.2012027551301993e+07 5.2009126414394952e+07 5.2004866235451840e+07 5.1998287696075767e+07 5.1989416976154886e+07 5.1977945849747010e+07 5.1963371550863385e+07 5.1945160620589800e+07 5.1922738054711550e+07 5.1895411082666367e+07 5.1862348267935194e+07 5.1822576757505976e+07 5.1774958938694507e+07 5.1718157562437996e+07 5.1650610530979335e+07 5.1570464180309750e+07 5.1475189220200107e+07 5.1360442385377862e+07 5.1221368768734738e+07 5.1055530335367367e+07 5.0860368359906219e+07 5.0631782842470884e+07 5.0364744706678167e+07 5.0053562376440197e+07 4.9691917675175846e+07 4.9272881875773400e+07 4.8788965265749060e+07 4.8232216772012964e+07 4.7594393167221166e+07 4.6867205260062315e+07 4.6042672517410308e+07 4.5113590126852043e+07 4.4074126800378755e+07 4.2920530404160433e+07 4.1552891154306270e+07 4.0056281983167343e+07 3.8440488024681054e+07 3.6722103348243371e+07 3.4924724395321019e+07 3.3078325554534823e+07 3.1217675512167584e+07 2.9379837302876998e+07 2.7601066264527403e+07 2.5913440199866373e+07 2.4342103073365293e+07 2.2904010700429197e+07 2.1607673060428225e+07 2.0452683810442846e+07 1.9432365610174023e+07 1.8536316289897341e+07 1.7751814822766203e+07 1.7065879956065193e+07 1.6466028761869388e+07 1.5941543179816043e+07 1.5482622745470762e+07 1.5081533389441345e+07 1.4731123571955187e+07 1.4426202595190655e+07 1.4161653240008047e+07 1.3933208224422310e+07 1.3737552311041974e+07 1.3571216565387661e+07 1.3430857597799804e+07 1.3314021701680908e+07 1.3217682645059779e+07 1.3139607993281495e+07 1.3077247177262563e+07 1.3028387613025354e+07 1.2990042707110310e+07 1.2959312026474124e+07 1.2934011617053445e+07 1.2912080299456740e+07 1.2891512059798475e+07 1.2876998323953470e+07 1.2862356685142869e+07 1.2847422745679215e+07 1.2831783032679984e+07 1.2815649684453757e+07 1.2798561373917831e+07 1.2781078640250513e+07 1.2761662448176406e+07 1.2740882863376804e+07 1.2718357488958078e+07 1.2693787719338940e+07 1.2666810700054463e+07 1.2637017666798102e+07 1.2603824233772151e+07 1.2567288082332490e+07 1.2526042500181315e+07 1.2479798828723012e+07 1.2427886060000604e+07 1.2369582085302146e+07 1.2304142224915292e+07 1.2230819537878633e+07 1.2148790735814776e+07 1.2058158502554776e+07 1.1957349200925199e+07 1.1846703995976921e+07 1.1726478854807395e+07 1.1597616789268043e+07 1.1461722266474584e+07 1.1321849207097389e+07 1.1182544603650613e+07 1.1051243794404702e+07 1.0937315115138069e+07 1.0855410944968615e+07 1.0825950594734322e+07 1.0878602333274877e+07 1.1056546733262932e+07 1.1425218379557315e+07 1.2088203598255834e+07 1.3220031537920553e+07 1.9579782528350118e+06 +1.2510870290097179e+01 5.1920664672806941e+07 5.1915399728143767e+07 5.1906429370426029e+07 5.1894320577477209e+07 5.1881420741123356e+07 5.1871635351842895e+07 5.1866810549373709e+07 5.1863912014920019e+07 5.1859657072275445e+07 5.1853088800218351e+07 5.1844233000665680e+07 5.1832782010233358e+07 5.1818234117275812e+07 5.1800056935709991e+07 5.1777676590114757e+07 5.1750401693189159e+07 5.1717402465076879e+07 5.1677707975728594e+07 5.1630182865497142e+07 5.1573492545206353e+07 5.1506078037842743e+07 5.1426089412537538e+07 5.1331002567225456e+07 5.1216483159530349e+07 5.1077685832571775e+07 5.0912177399934642e+07 5.0717404837707020e+07 5.0489277005085886e+07 5.0222775660264321e+07 4.9912221671714582e+07 4.9551310959717885e+07 4.9133130641085722e+07 4.8650208647379361e+07 4.8094613329578698e+07 4.7458122527148135e+07 4.6732469485725284e+07 4.5909696977685399e+07 4.4982623600070402e+07 4.3945440452986322e+07 4.2794415274865255e+07 4.1429880585401751e+07 3.9936739906864613e+07 3.8324775814870097e+07 3.6610563329320692e+07 3.4817660366967931e+07 3.2975981929905728e+07 3.1120217558072004e+07 2.9287335572149117e+07 2.7513488176161837e+07 2.5830651374554522e+07 2.4263878509077352e+07 2.2830052559728283e+07 2.1537632947208643e+07 2.0386190438398540e+07 1.9369046789678808e+07 1.8475814486921873e+07 1.7693798935621824e+07 1.7010050215734832e+07 1.6412118545901913e+07 1.5889315803528488e+07 1.5431870370512100e+07 1.5032071428581765e+07 1.4682789638115883e+07 1.4378850475682532e+07 1.4115153025183162e+07 1.3887443683400424e+07 1.3692417825803569e+07 1.3526617774023293e+07 1.3386710979466062e+07 1.3270251643878659e+07 1.3174223393511496e+07 1.3096400926325813e+07 1.3034241897098986e+07 1.2985540775269313e+07 1.2947320553556619e+07 1.2916690146547519e+07 1.2891472537019553e+07 1.2869613148182591e+07 1.2849112479580387e+07 1.2834646461650996e+07 1.2820052973104246e+07 1.2805168150243388e+07 1.2789579876948308e+07 1.2773499592584707e+07 1.2756467496720847e+07 1.2739042235912353e+07 1.2719689904969202e+07 1.2698978665413827e+07 1.2676527377992794e+07 1.2652038419238182e+07 1.2625150128108494e+07 1.2595455084663302e+07 1.2562370834847819e+07 1.2525954822138110e+07 1.2484844896571985e+07 1.2438753320109431e+07 1.2387011291709701e+07 1.2328899077646919e+07 1.2263674447427858e+07 1.2190592916753152e+07 1.2108833914371751e+07 1.2018499740094667e+07 1.1918021997123258e+07 1.1807740700702991e+07 1.1687910976082491e+07 1.1559472733602047e+07 1.1424025163370566e+07 1.1284612141868142e+07 1.1145765715349771e+07 1.1014896725034302e+07 1.0901342754127132e+07 1.0819707965156587e+07 1.0790344519039171e+07 1.0842823090394175e+07 1.1020182236838866e+07 1.1387641336057115e+07 1.2048446036018344e+07 1.3176551407943975e+07 1.9505974185386812e+06 +1.2515838612871438e+01 5.1775663612409480e+07 5.1770413162674502e+07 5.1761467445120856e+07 5.1749391465299733e+07 5.1736525706750311e+07 5.1726764485559024e+07 5.1721948764441751e+07 5.1719052843734019e+07 5.1714803145877957e+07 5.1708245141918793e+07 5.1699404257714979e+07 5.1687973392236345e+07 5.1673451886365883e+07 5.1655308425802283e+07 5.1632970262578055e+07 5.1605747391138114e+07 5.1572811686359890e+07 5.1533194139077045e+07 5.1485761640025355e+07 5.1429182257011026e+07 5.1361900130224764e+07 5.1282069057436675e+07 5.1187170118362166e+07 5.1072877882112406e+07 5.0934356531991288e+07 5.0769177724916391e+07 5.0574794129838496e+07 5.0347123452369414e+07 5.0081158270280130e+07 4.9771231878761269e+07 4.9411054273780264e+07 4.8993728391173705e+07 4.8511799777112097e+07 4.7957356172259830e+07 4.7322196442560539e+07 4.6598076224200927e+07 4.5777061541601799e+07 4.4851994341212831e+07 4.3817088044999070e+07 4.2668630192472182e+07 4.1307195168955617e+07 3.9817517265717559e+07 3.8209376424903609e+07 3.6499328566261679e+07 3.4710893069162451e+07 3.2873925588598695e+07 3.1023036619604021e+07 2.9195099935536787e+07 2.7426164831210461e+07 2.5748105775960628e+07 2.4185885763254702e+07 2.2756315198287304e+07 2.1467803165309686e+07 2.0319897693574049e+07 1.9305919723818045e+07 1.8415496429933183e+07 1.7635959633058645e+07 1.6954390699374247e+07 1.6358372928495361e+07 1.5837248069009017e+07 1.5381273277472107e+07 1.4982760926619694e+07 1.4634603816027407e+07 1.4331643551962465e+07 1.4068795474424183e+07 1.3841819619122079e+07 1.3647421943490285e+07 1.3482155991680376e+07 1.3342700023817921e+07 1.3226616126549674e+07 1.3130897754588205e+07 1.3053326717679322e+07 1.2991368869929489e+07 1.2942825713592172e+07 1.2904729799185177e+07 1.2874199361066157e+07 1.2849064298665402e+07 1.2827276618257500e+07 1.2806843313236225e+07 1.2792424866539173e+07 1.2777879380176241e+07 1.2763043522838842e+07 1.2747506531042565e+07 1.2731479147302447e+07 1.2714503093154095e+07 1.2697135128528714e+07 1.2677846462300189e+07 1.2657203357745077e+07 1.2634825929446444e+07 1.2610417532996688e+07 1.2583617697079370e+07 1.2554020342044706e+07 1.2521044939557478e+07 1.2484748696175933e+07 1.2443774009933598e+07 1.2397834060636360e+07 1.2346262247382389e+07 1.2288341204127932e+07 1.2223331142050998e+07 1.2150490025980391e+07 1.2068999993378997e+07 1.1978962961409815e+07 1.1878815757285817e+07 1.1768897250061363e+07 1.1649461725738419e+07 1.1521446002706531e+07 1.1386444010282639e+07 1.1247489611642521e+07 1.1109099952721033e+07 1.0978661453244081e+07 1.0865481038150655e+07 1.0784114801794585e+07 1.0754847961686296e+07 1.0807153898480110e+07 1.0983929591542928e+07 1.1350179873285638e+07 1.2008810761357605e+07 1.3133205015713634e+07 1.9432434879849195e+06 +1.2520806935645696e+01 5.1631017518702388e+07 5.1625781437786236e+07 5.1616860327203877e+07 5.1604817046206236e+07 5.1591985282854684e+07 5.1582248179300241e+07 5.1577441531554811e+07 5.1574548235853218e+07 5.1570303791079320e+07 5.1563756055948943e+07 5.1554930082066737e+07 5.1543519330293134e+07 5.1529024192614459e+07 5.1510914425213516e+07 5.1488618406364441e+07 5.1461447510587759e+07 5.1428575265708506e+07 5.1389034581126422e+07 5.1341694595695637e+07 5.1285226030971035e+07 5.1218076140891708e+07 5.1138402447455116e+07 5.1043691205507100e+07 5.0929625884513587e+07 5.0791380197757274e+07 5.0626530640412480e+07 5.0432535565440156e+07 5.0205321512504160e+07 4.9939891863803200e+07 4.9630592323317930e+07 4.9271146941641219e+07 4.8854674448675431e+07 4.8373737975773178e+07 4.7820444618817650e+07 4.7186614230174065e+07 4.6464024789818421e+07 4.5644765521184415e+07 4.4721701659999244e+07 4.3689068883943923e+07 4.2543174462689623e+07 4.1184834209329017e+07 3.9698613363622449e+07 3.8094289159647614e+07 3.6388398366648570e+07 3.4604421814513780e+07 3.2772155850803770e+07 3.0926132027409196e+07 2.9103129736998308e+07 2.7339095589753181e+07 2.5665802782705337e+07 2.4108124234748662e+07 2.2682798036285013e+07 2.1398183156474922e+07 2.0253805038920376e+07 1.9242983895767223e+07 1.8355361621084668e+07 1.7578296434626505e+07 1.6898900942279689e+07 1.6304791459089354e+07 1.5785339538323896e+07 1.5330831039579753e+07 1.4933601466668321e+07 1.4586565697446551e+07 1.4284581423369972e+07 1.4022580193671199e+07 1.3796335643214526e+07 1.3602564280618949e+07 1.3437830839065850e+07 1.3298824355061993e+07 1.3183114776835997e+07 1.3087705357894247e+07 1.3010384998921022e+07 1.2948627728944704e+07 1.2900242062464852e+07 1.2862270079476865e+07 1.2831839306342322e+07 1.2806786538977375e+07 1.2785070347316857e+07 1.2764704198959703e+07 1.2750333177212132e+07 1.2735835545354893e+07 1.2721048502899613e+07 1.2705562634801554e+07 1.2689587988911763e+07 1.2672667803996731e+07 1.2655356959405085e+07 1.2636131761991201e+07 1.2615556582794202e+07 1.2593252786354903e+07 1.2568924704320174e+07 1.2542213051464779e+07 1.2512713084270634e+07 1.2479846194154005e+07 1.2443669351720512e+07 1.2402829488691611e+07 1.2357040700035296e+07 1.2305638578212855e+07 1.2247908117560463e+07 1.2183111963459363e+07 1.2110510522278389e+07 1.2029288631846348e+07 1.1939547828069570e+07 1.1839730145795725e+07 1.1730173311540678e+07 1.1611130774657784e+07 1.1483536271067610e+07 1.1348978485497693e+07 1.1210481298640087e+07 1.1072547001920383e+07 1.0942537668855486e+07 1.0829729660234042e+07 1.0748631150206096e+07 1.0719460618830187e+07 1.0771594452212948e+07 1.0947788487031708e+07 1.1312833670565641e+07 1.1969297435020067e+07 1.3089991990182668e+07 1.9359163674143434e+06 +1.2525775258419955e+01 5.1486725684609167e+07 5.1481503865127027e+07 5.1472607326011442e+07 5.1460596657702647e+07 5.1447798805583082e+07 5.1438085768270224e+07 5.1433288186053172e+07 5.1430397526597798e+07 5.1426158343197778e+07 5.1419620877535485e+07 5.1410809808815926e+07 5.1399419159478553e+07 5.1384950370887719e+07 5.1366874268676475e+07 5.1344620355986059e+07 5.1317501385943256e+07 5.1284692537334673e+07 5.1245228635969400e+07 5.1197981066241466e+07 5.1141623200642668e+07 5.1074605402974635e+07 5.0995088915295653e+07 5.0900565161048338e+07 5.0786726498575702e+07 5.0648756161099330e+07 5.0484235476824507e+07 5.0290628474117868e+07 5.0063870514124244e+07 4.9798975768289611e+07 4.9490302331593670e+07 4.9131588288043223e+07 4.8715968136649787e+07 4.8236022564678475e+07 4.7683877988620505e+07 4.7051375207096815e+07 4.6330314497492805e+07 4.5512808228995979e+07 4.4591744866714783e+07 4.3561382278035939e+07 4.2418047391899899e+07 4.1062797011592656e+07 3.9580027505318128e+07 3.7979513324871629e+07 3.6277772039054073e+07 3.4498245916589469e+07 3.2670672037755225e+07 3.0829503113165356e+07 2.9011424321662985e+07 2.7252279813088566e+07 2.5583741774574474e+07 2.4030593323612753e+07 2.2609500495072123e+07 2.1328772363619644e+07 2.0187911938504469e+07 1.9180238789848652e+07 1.8295409563579958e+07 1.7520808860874776e+07 1.6843580480769575e+07 1.6251373688140864e+07 1.5733589774518145e+07 1.5280543231059968e+07 1.4884592632777840e+07 1.4538674875095930e+07 1.4237663690178325e+07 1.3976506789755605e+07 1.3750991368209381e+07 1.3557844454597468e+07 1.3393641937711243e+07 1.3255083598257031e+07 1.3139747222735384e+07 1.3044645833877420e+07 1.2967575402476789e+07 1.2906018108183308e+07 1.2857789457182935e+07 1.2819941030741140e+07 1.2789609619513534e+07 1.2764638895792723e+07 1.2742993973777259e+07 1.2722694775746524e+07 1.2708371033059468e+07 1.2693921108473107e+07 1.2679182730652202e+07 1.2663747828908928e+07 1.2647825758557631e+07 1.2630961270873085e+07 1.2613707370635044e+07 1.2594545446676750e+07 1.2574037983779240e+07 1.2551807592580982e+07 1.2527559577769749e+07 1.2500935836564308e+07 1.2471532957469534e+07 1.2438774245713810e+07 1.2402716436867889e+07 1.2362010982089072e+07 1.2316372888847677e+07 1.2265139936171575e+07 1.2207599471579803e+07 1.2143016567089289e+07 1.2070654063155312e+07 1.1989699489585778e+07 1.1900254002421048e+07 1.1800764827816587e+07 1.1691568553411810e+07 1.1572917794464873e+07 1.1445743213927774e+07 1.1311628268087223e+07 1.1173586885845980e+07 1.1036106549802830e+07 1.0906525062419208e+07 1.0794088314106522e+07 1.0713256706411213e+07 1.0684182187317304e+07 1.0736144446959328e+07 1.0911758613714665e+07 1.1275602407970710e+07 1.1929905718490927e+07 1.3046911961154860e+07 1.9286159633740322e+06 +1.2530743581194214e+01 5.1342787149133898e+07 5.1337579894500248e+07 5.1328707720314242e+07 5.1316729633714460e+07 5.1303965611179292e+07 5.1294276588263594e+07 5.1289488063742906e+07 5.1286600051737800e+07 5.1282366137841053e+07 5.1275838942165375e+07 5.1267042773351051e+07 5.1255672215078600e+07 5.1241229756458119e+07 5.1223187291310705e+07 5.1200975446497276e+07 5.1173908352021158e+07 5.1141162835821003e+07 5.1101775637962438e+07 5.1054620385876656e+07 5.0998373099818178e+07 5.0931487250095189e+07 5.0852127794182733e+07 5.0757791317666255e+07 5.0644179056508273e+07 5.0506483753600553e+07 5.0342291565074645e+07 5.0149072185969628e+07 4.9922769786240645e+07 4.9658409311711632e+07 4.9350361230215400e+07 4.8992377638197064e+07 4.8577608778770171e+07 4.8098652865563914e+07 4.7547655601446509e+07 4.6916478691088542e+07 4.6196944662736535e+07 4.5381188978247568e+07 4.4462123272362769e+07 4.3434027536134727e+07 4.2293248287285171e+07 4.0941082881596804e+07 3.9461758996386230e+07 3.7865048227191113e+07 3.6167448892968081e+07 3.4392364690027453e+07 3.2569473471711874e+07 3.0733149209738981e+07 2.8919983035767537e+07 2.7165716863629825e+07 2.5501922132503189e+07 2.3953292431048281e+07 2.2536421997117549e+07 2.1259570230803080e+07 2.0122217857535452e+07 1.9117683891473595e+07 1.8235639761711244e+07 1.7463496433472075e+07 1.6788428852186158e+07 1.6198119167114004e+07 1.5681998341623308e+07 1.5230409427064912e+07 1.4835734009935275e+07 1.4490930942586936e+07 1.4190889953542288e+07 1.3930574870398548e+07 1.3705786407499712e+07 1.3513262083682876e+07 1.3349588910041492e+07 1.3211477379334966e+07 1.3096513093110647e+07 1.3001718813811691e+07 1.2924897561618470e+07 1.2863539642507663e+07 1.2815467533891877e+07 1.2777742290136686e+07 1.2747509938551867e+07 1.2722621007774422e+07 1.2701047136910239e+07 1.2680814683450460e+07 1.2666538074348852e+07 1.2652135710178075e+07 1.2637445847181614e+07 1.2622061754874626e+07 1.2606192098190565e+07 1.2589383136215147e+07 1.2572186005130436e+07 1.2553087159843294e+07 1.2532647204757344e+07 1.2510489992796479e+07 1.2486321798710294e+07 1.2459785698493557e+07 1.2430479608593885e+07 1.2397828742103197e+07 1.2361889600496033e+07 1.2321318140179999e+07 1.2275830278407903e+07 1.2224765974081308e+07 1.2167414920598768e+07 1.2103044609206159e+07 1.2030920306912750e+07 1.1950232227194682e+07 1.1861081147583447e+07 1.1761919469296323e+07 1.1653082644707898e+07 1.1534822457552548e+07 1.1408066507274710e+07 1.1274393037813175e+07 1.1136806056934536e+07 1.0999778283956265e+07 1.0870623325187769e+07 1.0758556694192059e+07 1.0677991167146968e+07 1.0649012364697399e+07 1.0700803578792563e+07 1.0875839662696641e+07 1.1238485766295284e+07 1.1890635274064045e+07 1.3003964559303250e+07 1.9213421827166143e+06 +1.2535711903968473e+01 5.1199201924841598e+07 5.1194008801785111e+07 5.1185160848639973e+07 5.1173215305348106e+07 5.1160485035847947e+07 5.1150819975394070e+07 5.1146040500784576e+07 5.1143155147339649e+07 5.1138926511035450e+07 5.1132409585813925e+07 5.1123628311600402e+07 5.1112277832860813e+07 5.1097861684890375e+07 5.1079852828604929e+07 5.1057683013199687e+07 5.1030667744019978e+07 5.0997985496245071e+07 5.0958674921956956e+07 5.0911611889155552e+07 5.0855475062818468e+07 5.0788721016189009e+07 5.0709518417726249e+07 5.0615369008548789e+07 5.0501982891009256e+07 5.0364562307304941e+07 5.0200698236450456e+07 5.0007866031351261e+07 4.9782018658360608e+07 4.9518191822349846e+07 4.9210768346284278e+07 4.8853514317734502e+07 4.8439595699008584e+07 4.7961628200764388e+07 4.7411776777731791e+07 4.6781924000376686e+07 4.6063914601634495e+07 4.5249907082803741e+07 4.4332836188568980e+07 4.3307003967830971e+07 4.2168776456634969e+07 4.0819691125987671e+07 3.9343807143197678e+07 3.7750893174160860e+07 3.6057428238848962e+07 3.4286777450385690e+07 3.2468559476010617e+07 3.0637069650965471e+07 2.8828805226702325e+07 2.7079406104977664e+07 2.5420343238607485e+07 2.3876220959443942e+07 2.2463561966155827e+07 2.1190576203212745e+07 2.0056722262342814e+07 1.9055318687136840e+07 1.8176051720841318e+07 1.7406358675069485e+07 1.6733445594921336e+07 1.6145027448457776e+07 1.5630564804634219e+07 1.5180429203726104e+07 1.4787025184064239e+07 1.4443333494464090e+07 1.4144259815536462e+07 1.3884784044225944e+07 1.3660720375364788e+07 1.3468816787024949e+07 1.3305671379347123e+07 1.3168005325080413e+07 1.3053412017675519e+07 1.2958923929833421e+07 1.2882351110464875e+07 1.2821191967636323e+07 1.2773275929562701e+07 1.2735673495640727e+07 1.2705539902273988e+07 1.2680732514421580e+07 1.2659229476824399e+07 1.2639063562728684e+07 1.2624833942139987e+07 1.2610478991941931e+07 1.2595837494365221e+07 1.2580504055026654e+07 1.2564686650592539e+07 1.2547933043281792e+07 1.2530792506649386e+07 1.2511756545760410e+07 1.2491383890584718e+07 1.2469299632491985e+07 1.2445211013309801e+07 1.2418762284182061e+07 1.2389552685398635e+07 1.2357009332005726e+07 1.2321188492318314e+07 1.2280750613814849e+07 1.2235412520862039e+07 1.2184516345513619e+07 1.2127354119837072e+07 1.2063195746836931e+07 1.1991308912629819e+07 1.1910886506032826e+07 1.1822028927453777e+07 1.1723193736941304e+07 1.1614715255205004e+07 1.1496844437052477e+07 1.1370505827838475e+07 1.1237272475202929e+07 1.1100138496329620e+07 1.0963561892679425e+07 1.0834832149111645e+07 1.0723134495643398e+07 1.0642834229814051e+07 1.0613950849201284e+07 1.0665571544500710e+07 1.0840031325791378e+07 1.1201483427088553e+07 1.1851485764788987e+07 1.2961149416109923e+07 1.9140949325993715e+06 +1.2540680226742731e+01 5.1055968686018288e+07 5.1050789780416898e+07 5.1041966094596229e+07 5.1030053003364474e+07 5.1017356415594593e+07 5.1007715266321808e+07 5.1002944833671518e+07 5.1000062149958193e+07 5.0995838799186103e+07 5.0989332144807994e+07 5.0980565759758882e+07 5.0969235348929539e+07 5.0954845492264621e+07 5.0936870216460444e+07 5.0914742391854718e+07 5.0887778897511847e+07 5.0855159853977986e+07 5.0815925823085122e+07 5.0768954911006585e+07 5.0712928424374394e+07 5.0646306035615206e+07 5.0567260119882576e+07 5.0473297567297339e+07 5.0360137335022204e+07 5.0222991154642604e+07 5.0059454822654672e+07 4.9867009341197155e+07 4.9641616460403152e+07 4.9378322629105568e+07 4.9071523007412598e+07 4.8714997652880512e+07 4.8301928222016260e+07 4.7824947893122382e+07 4.7276240838334821e+07 4.6647710453877956e+07 4.5931223630822413e+07 4.5118961857062221e+07 4.4203882927548155e+07 4.3180310883349381e+07 4.2044631208584517e+07 4.0698621052180164e+07 3.9226171253011256e+07 3.7637047474139594e+07 3.5947709388081647e+07 3.4181483514266543e+07 3.2367929375032000e+07 3.0541263771904688e+07 2.8737890242956392e+07 2.6993346901864372e+07 2.5339004476186775e+07 2.3799378312369242e+07 2.2390919826968897e+07 2.1121789727239192e+07 1.9991424620395344e+07 1.8993142664469633e+07 1.8116644947416011e+07 1.7349395109405931e+07 1.6678630248333788e+07 1.6092098085632782e+07 1.5579288729531288e+07 1.5130602138123969e+07 1.4738465742037382e+07 1.4395882126211025e+07 1.4097772879134608e+07 1.3839133920748752e+07 1.3615792886984603e+07 1.3424508184641354e+07 1.3261888969761942e+07 1.3124667063134560e+07 1.3010443626981493e+07 1.2916260814918647e+07 1.2839935683964383e+07 1.2778974720104974e+07 1.2731214282011064e+07 1.2693734286066530e+07 1.2663699150302451e+07 1.2638973056057487e+07 1.2617540634427296e+07 1.2597441055087274e+07 1.2583258278343664e+07 1.2568950596086692e+07 1.2554357314934090e+07 1.2539074372520292e+07 1.2523309059368625e+07 1.2506610636142367e+07 1.2489526519750301e+07 1.2470553249535499e+07 1.2450247686952446e+07 1.2428236157979287e+07 1.2404226868564881e+07 1.2377865241368629e+07 1.2348751836452827e+07 1.2316315664926626e+07 1.2280612762854286e+07 1.2240308054653820e+07 1.2195119269143289e+07 1.2144390704852583e+07 1.2087416725294827e+07 1.2023469637819534e+07 1.1951819540169345e+07 1.1871661988249622e+07 1.1783097006685149e+07 1.1684587298192339e+07 1.1576466055457631e+07 1.1458983406867238e+07 1.1333060853099506e+07 1.1200266261510413e+07 1.1063583889177727e+07 1.0927457064997101e+07 1.0799151226861738e+07 1.0687821414283469e+07 1.0607785592545846e+07 1.0578997339784924e+07 1.0630448041529143e+07 1.0804333295506211e+07 1.1164595072614577e+07 1.1812456854499197e+07 1.2918466163954355e+07 1.9068741204833349e+06 +1.2545648549516990e+01 5.0913086894963115e+07 5.0907922204233304e+07 5.0899122814723991e+07 5.0887242060448930e+07 5.0874579086399287e+07 5.0864961798042603e+07 5.0860200399408467e+07 5.0857320396414816e+07 5.0853102339095488e+07 5.0846605955869630e+07 5.0837854454436332e+07 5.0826544099809900e+07 5.0812180514928468e+07 5.0794238791152038e+07 5.0772152918626986e+07 5.0745241148510337e+07 5.0712685244798042e+07 5.0673527677016526e+07 5.0626648786814064e+07 5.0570732519509003e+07 5.0504241643144093e+07 5.0425352235013768e+07 5.0331576327804208e+07 5.0218641722119883e+07 5.0081769628470063e+07 4.9918560655849658e+07 4.9726501446850434e+07 4.9501562522727929e+07 4.9238801061191961e+07 4.8932624541572772e+07 4.8576826970222898e+07 4.8164605672805659e+07 4.7688611265941843e+07 4.7141047104641467e+07 4.6513837370892525e+07 4.5798871067575261e+07 4.4988352616169594e+07 4.4075262802274778e+07 4.3053947593656227e+07 4.1920811852433093e+07 4.0577871968371958e+07 3.9108850633852996e+07 3.7523510436451040e+07 3.5838291652991667e+07 3.4076482199231699e+07 3.2267582494213264e+07 3.0445730908587586e+07 2.8647237434190098e+07 2.6907538620138761e+07 2.5257905229677640e+07 2.3722763894552544e+07 2.2318495005579785e+07 2.1053210250372447e+07 1.9926324400284067e+07 1.8931155312193390e+07 1.8057418948966775e+07 1.7292605261250190e+07 1.6623982352864509e+07 1.6039330633066624e+07 1.5528169683262542e+07 1.5080927808285307e+07 1.4690055271643389e+07 1.4348576434174387e+07 1.4051428748213679e+07 1.3793624110359058e+07 1.3571003558400027e+07 1.3380335897418961e+07 1.3218241306304382e+07 1.3081462221985068e+07 1.2967607552437177e+07 1.2873729102901060e+07 1.2797650917909501e+07 1.2736887537314095e+07 1.2689282229876464e+07 1.2651924301079014e+07 1.2621987323113460e+07 1.2597342273826277e+07 1.2575980251491420e+07 1.2555946802835684e+07 1.2541810725665372e+07 1.2527550165724264e+07 1.2513004952432958e+07 1.2497772351330839e+07 1.2482058968939755e+07 1.2465415559705511e+07 1.2448387689810013e+07 1.2429476917088576e+07 1.2409238240339421e+07 1.2387299216384869e+07 1.2363369012275986e+07 1.2337094218616912e+07 1.2308076711149735e+07 1.2275747391160009e+07 1.2240162063406354e+07 1.2199990115157470e+07 1.2154950177002892e+07 1.2104388707278326e+07 1.2047602393777834e+07 1.1983865940758398e+07 1.1912451850184895e+07 1.1832558336772060e+07 1.1744285050739430e+07 1.1646099821326198e+07 1.1538334716786535e+07 1.1421239041626314e+07 1.1295731261271095e+07 1.1163374078724606e+07 1.1027141921343388e+07 1.0891463490632428e+07 1.0763580251820052e+07 1.0652617146665076e+07 1.0572844954137322e+07 1.0544151536055470e+07 1.0595432768078307e+07 1.0768745265090527e+07 1.1127820385873416e+07 1.1773548207807280e+07 1.2875914436031742e+07 1.8996796541323841e+06 +1.2550616872291249e+01 5.0770555985844292e+07 5.0765405554345198e+07 5.0756630326973543e+07 5.0744781812451817e+07 5.0732152384413525e+07 5.0722558907989092e+07 5.0717806535349473e+07 5.0714929224033266e+07 5.0710716467975870e+07 5.0704230356006809e+07 5.0695493732713327e+07 5.0684203422397532e+07 5.0669866089719221e+07 5.0651957889369130e+07 5.0629913930018529e+07 5.0603053833374642e+07 5.0570561004969440e+07 5.0531479819688305e+07 5.0484692852349468e+07 5.0428886683724687e+07 5.0362527173925094e+07 5.0283794097989574e+07 5.0190204624463730e+07 5.0077495386129260e+07 4.9940897062114842e+07 4.9778015068625256e+07 4.9586341680007190e+07 4.9361856176180869e+07 4.9099626448395640e+07 4.8794072277321890e+07 4.8439001596906282e+07 4.8027627376996033e+07 4.7552617643079013e+07 4.7006194898697481e+07 4.6380304071480416e+07 4.5666856229695357e+07 4.4858078675707027e+07 4.3946975126311347e+07 4.2927913410411738e+07 4.1797317698227197e+07 4.0457443183579318e+07 3.8991844594697654e+07 3.7410281371332742e+07 3.5729174346883029e+07 3.3971772823893286e+07 3.2167518159999594e+07 3.0350470398244284e+07 2.8556846151155945e+07 2.6821980626906507e+07 2.5177044884705465e+07 2.3646377111888245e+07 2.2246286929168019e+07 2.0984837221283335e+07 1.9861421071725979e+07 1.8869356120127935e+07 1.7998373234067369e+07 1.7235988656455360e+07 1.6569501449935082e+07 1.5986724646252602e+07 1.5477207233762261e+07 1.5031405793192338e+07 1.4641793361621663e+07 1.4301416015690060e+07 1.4005227027565610e+07 1.3748254224370295e+07 1.3526352006527156e+07 1.3336299547100259e+07 1.3174728014841491e+07 1.3038390430990608e+07 1.2924903426294124e+07 1.2831328428437555e+07 1.2755496448940841e+07 1.2694930057474937e+07 1.2647479412647311e+07 1.2610243181142990e+07 1.2580404062013606e+07 1.2555839809715088e+07 1.2534547970577560e+07 1.2514580449120495e+07 1.2500490927660661e+07 1.2486277344806269e+07 1.2471780051221568e+07 1.2456597636261163e+07 1.2440936024547497e+07 1.2424347459692460e+07 1.2407375663038384e+07 1.2388527195160095e+07 1.2368355198079268e+07 1.2346488455636514e+07 1.2322637093060141e+07 1.2296448865279093e+07 1.2267526959664475e+07 1.2235304161811072e+07 1.2199836046092208e+07 1.2159796448578294e+07 1.2114904898981409e+07 1.2064510008783568e+07 1.2007910782877207e+07 1.1944384315067586e+07 1.1873205504114239e+07 1.1793575215301991e+07 1.1705592725816654e+07 1.1607730975324843e+07 1.1500320911236275e+07 1.1383611016740862e+07 1.1258516731315982e+07 1.1126595609574441e+07 1.0990812279433429e+07 1.0855580860053623e+07 1.0728118918072436e+07 1.0617521390012790e+07 1.0538012014110655e+07 1.0509413138348224e+07 1.0560525422991846e+07 1.0733266928468686e+07 1.1091159050602673e+07 1.1734759490086656e+07 1.2833493866393799e+07 1.8925114416123605e+06 +1.2555585195065508e+01 5.0628375143215276e+07 5.0623239139752902e+07 5.0614487977496535e+07 5.0602671598684251e+07 5.0590075646337539e+07 5.0580505934005603e+07 5.0575762579192340e+07 5.0572887970460467e+07 5.0568680523384251e+07 5.0562204682884187e+07 5.0553482931910843e+07 5.0542212654095657e+07 5.0527901553852923e+07 5.0510026848138019e+07 5.0488024763005108e+07 5.0461216288888209e+07 5.0428786471035995e+07 5.0389781587533593e+07 5.0343086443740420e+07 5.0287390252944589e+07 5.0221161963564731e+07 5.0142585044020057e+07 5.0049181792103842e+07 4.9936697661373451e+07 4.9800372789224401e+07 4.9637817393998824e+07 4.9446529372928090e+07 4.9222496751958720e+07 4.8960798120892979e+07 4.8655865543636203e+07 4.8301520860541523e+07 4.7890992660623610e+07 4.7416966348926388e+07 4.6871683543027110e+07 4.6247109876063198e+07 4.5535178435691580e+07 4.4728139352075651e+07 4.3819019213880539e+07 4.2802207645947278e+07 4.1674148056815639e+07 4.0337334007591493e+07 3.8875152445242450e+07 3.7297359589827619e+07 3.5620356783976018e+07 3.3867354707850002e+07 3.2067735699957382e+07 3.0255481579144232e+07 2.8466715745743528e+07 2.6736672290338200e+07 2.5096422828065205e+07 2.3570217371449679e+07 2.2174295026027624e+07 2.0916670089755043e+07 1.9796714105561856e+07 1.8807744579193126e+07 1.7939507312394038e+07 1.7179544821861766e+07 1.6515187082020625e+07 1.5934279681595024e+07 1.5426400949918095e+07 1.4982035672778310e+07 1.4593679601628263e+07 1.4254400468956387e+07 1.3959167322870607e+07 1.3703023874936009e+07 1.3481837849172564e+07 1.3292398756317053e+07 1.3131348722085379e+07 1.2995451320345607e+07 1.2882330881661499e+07 1.2789058427036712e+07 1.2713471914528869e+07 1.2653101919639999e+07 1.2605805470624682e+07 1.2568690567576380e+07 1.2538949009115800e+07 1.2514465306533977e+07 1.2493243435101487e+07 1.2473341637913981e+07 1.2459298528698074e+07 1.2445131778123980e+07 1.2430682256489225e+07 1.2415549872932667e+07 1.2399939872268263e+07 1.2383405982621463e+07 1.2366490086448638e+07 1.2347703731304090e+07 1.2327598208290622e+07 1.2305803524495723e+07 1.2282030760360887e+07 1.2255928831529735e+07 1.2227102232997989e+07 1.2194985628801759e+07 1.2159634363842955e+07 1.2119726708975252e+07 1.2074983090412889e+07 1.2024754266134283e+07 1.1968341550973509e+07 1.1905024420929587e+07 1.1834080164162591e+07 1.1754712288327087e+07 1.1667019698900152e+07 1.1569480429952754e+07 1.1462424311637392e+07 1.1346099008336958e+07 1.1221416942936247e+07 1.1089930537505040e+07 1.0954594650744127e+07 1.0819808864416346e+07 1.0692766920411691e+07 1.0582533842276825e+07 1.0503286472649092e+07 1.0474781847662553e+07 1.0525725705824705e+07 1.0697897980297931e+07 1.1054610751253862e+07 1.1696090367503004e+07 1.2791204089928536e+07 1.8853693912901606e+06 +1.2560553517839766e+01 5.0486544118225560e+07 5.0481422094450876e+07 5.0472695116686732e+07 5.0460910760674052e+07 5.0448348209750026e+07 5.0438802214313850e+07 5.0434067869128734e+07 5.0431195973834693e+07 5.0426993843324214e+07 5.0420528274306715e+07 5.0411821389937811e+07 5.0400571132519715e+07 5.0386286244910233e+07 5.0368445005035363e+07 5.0346484754916325e+07 5.0319727852255046e+07 5.0287360980071485e+07 5.0248432317409493e+07 5.0201828897638172e+07 5.0146242563445136e+07 5.0080145348082744e+07 5.0001724408744141e+07 4.9908507165930241e+07 4.9796247882564940e+07 4.9660196144008279e+07 4.9497966965358607e+07 4.9307063858207136e+07 4.9083483581837356e+07 4.8822315409325406e+07 4.8518003669944756e+07 4.8164384089195870e+07 4.7754700850300655e+07 4.7281656708349481e+07 4.6737512360627957e+07 4.6114254105829857e+07 4.5403837004544154e+07 4.4598533962158859e+07 4.3691394379889719e+07 4.2676829613317557e+07 4.1551302239717565e+07 4.0217543750957184e+07 3.8758773496087000e+07 3.7184744403951988e+07 3.5511838279473744e+07 3.3763227171693459e+07 3.1968234442628428e+07 3.0160763790666193e+07 2.8376845571010053e+07 2.6651612979791839e+07 2.5016038447692517e+07 2.3494284081463713e+07 2.2102518725668043e+07 2.0848708306770388e+07 1.9732202973765910e+07 1.8746320181410138e+07 1.7880820694701530e+07 1.7123273285411447e+07 1.6461038792601405e+07 1.5881995296552252e+07 1.5375750401607055e+07 1.4932817027941564e+07 1.4545713582263084e+07 1.4207529393103944e+07 1.3913249240718210e+07 1.3657932675140429e+07 1.3437460705013499e+07 1.3248633148567365e+07 1.3088103055635605e+07 1.2952644521098061e+07 1.2839889552481432e+07 1.2746918735050811e+07 1.2671576952969858e+07 1.2611402763705054e+07 1.2564260044955863e+07 1.2527266102511138e+07 1.2497621807370851e+07 1.2473218407909669e+07 1.2452066289278857e+07 1.2432230013997141e+07 1.2418233173959190e+07 1.2404113111248277e+07 1.2389711214236602e+07 1.2374628707772033e+07 1.2359070158968491e+07 1.2342590775866250e+07 1.2325730607874945e+07 1.2307006173889920e+07 1.2286966919913240e+07 1.2265244072519731e+07 1.2241549664396476e+07 1.2215533768365745e+07 1.2186802182959704e+07 1.2154791444849284e+07 1.2119556670369914e+07 1.2079780551211815e+07 1.2035184407432444e+07 1.1985121136883873e+07 1.1928894357241914e+07 1.1865785919322034e+07 1.1795075493329970e+07 1.1715969221095905e+07 1.1628565637741525e+07 1.1531347855754735e+07 1.1424644591570383e+07 1.1308702693313345e+07 1.1184431576572152e+07 1.1053378546706319e+07 1.0918488723334152e+07 1.0784147195598533e+07 1.0657523954322951e+07 1.0547654202075377e+07 1.0468668030656371e+07 1.0440257365716934e+07 1.0491033316842949e+07 1.0662638115918864e+07 1.1018175173034459e+07 1.1657540506966379e+07 1.2749044742372239e+07 1.8782534118328558e+06 +1.2565521840614025e+01 5.0345061723811015e+07 5.0339954037758611e+07 5.0331251045356005e+07 5.0319498641017817e+07 5.0306969413147800e+07 5.0297447087550387e+07 5.0292721743747696e+07 5.0289852572569616e+07 5.0285655766220301e+07 5.0279200468655862e+07 5.0270508444984503e+07 5.0259278195830710e+07 5.0245019500940517e+07 5.0227211697911024e+07 5.0205293243486688e+07 5.0178587861080810e+07 5.0146283869444862e+07 5.0107431346462511e+07 5.0060919550985932e+07 5.0005442952000208e+07 4.9939476663911425e+07 4.9861211528208286e+07 4.9768180081625842e+07 4.9656145384923287e+07 4.9520366461048327e+07 4.9358463116740629e+07 4.9167944469041608e+07 4.8944815997988760e+07 4.8684177644900687e+07 4.8380485986205317e+07 4.8027590611503750e+07 4.7618751273099110e+07 4.7146688046803556e+07 4.6603680675199911e+07 4.5981736082393557e+07 4.5272831255910158e+07 4.4469261823572099e+07 4.3564099939928830e+07 4.2551778626281135e+07 4.1428779559220798e+07 4.0098071725042962e+07 3.8642707058729716e+07 3.7072435126636736e+07 3.5403618149519183e+07 3.3659389537050955e+07 3.1869013717711810e+07 3.0066316373267304e+07 2.8287234981065568e+07 2.6566802065772746e+07 2.4935891132734951e+07 2.3418576651368938e+07 2.2030957458743606e+07 2.0780951324387934e+07 1.9667887149421614e+07 1.8685082419911381e+07 1.7822312892775536e+07 1.7067173576055035e+07 1.6407056126147969e+07 1.5829871049543558e+07 1.5325255159662241e+07 1.4883749440497832e+07 1.4497894895056959e+07 1.4160802388177395e+07 1.3867472388575483e+07 1.3612980238941979e+07 1.3393220193615394e+07 1.3205002348182663e+07 1.3044990643935647e+07 1.2909969665155703e+07 1.2797579073545456e+07 1.2704908989661990e+07 1.2629811203426439e+07 1.2569832230386274e+07 1.2522842777607335e+07 1.2485969428917151e+07 1.2456422100565199e+07 1.2432098758292347e+07 1.2411016178179489e+07 1.2391245222992077e+07 1.2377294509464053e+07 1.2363220990602210e+07 1.2348866571289929e+07 1.2333833788030792e+07 1.2318326532349151e+07 1.2301901487581439e+07 1.2285096875964621e+07 1.2266434172095360e+07 1.2246460982702535e+07 1.2224809750072587e+07 1.2201193456222326e+07 1.2175263327557165e+07 1.2146626462154549e+07 1.2114721263460986e+07 1.2079602620195903e+07 1.2039957630946558e+07 1.1995508506975491e+07 1.1945610279392879e+07 1.1889568861639788e+07 1.1826668472004529e+07 1.1756191155391918e+07 1.1677345679647604e+07 1.1590230210861752e+07 1.1493332924004171e+07 1.1386981425364602e+07 1.1271421749306446e+07 1.1147560313401390e+07 1.1016939322094351e+07 1.0882494185950601e+07 1.0748595546186980e+07 1.0622389716012670e+07 1.0512882168754334e+07 1.0434156389708050e+07 1.0405839394901982e+07 1.0456447956995470e+07 1.0627487031390911e+07 1.0981852001856951e+07 1.1619109576179527e+07 1.2707015460304778e+07 1.8711634122067965e+06 +1.2570490163388284e+01 5.0203927544370681e+07 5.0198834131427720e+07 5.0190155057569258e+07 5.0178434582180463e+07 5.0165938596074805e+07 5.0156439892754488e+07 5.0151723542037964e+07 5.0148857105618946e+07 5.0144665630846098e+07 5.0138220604595609e+07 5.0129543435668126e+07 5.0118333182575025e+07 5.0104100660330229e+07 5.0086326265062168e+07 5.0064449566943415e+07 5.0037795653356828e+07 5.0005554477070972e+07 4.9966778012397625e+07 4.9920357741194502e+07 4.9864990755740635e+07 4.9799155247861542e+07 4.9721045738942392e+07 4.9628199875250228e+07 4.9516389503996909e+07 4.9380883075360931e+07 4.9219305182388589e+07 4.9029170538887523e+07 4.8806493333072498e+07 4.8546384159142286e+07 4.8243311822851472e+07 4.7891139756512158e+07 4.7483143256632693e+07 4.7012059690246738e+07 4.6470187810831740e+07 4.5849555128029950e+07 4.5142160510019094e+07 4.4340322254492097e+07 4.3437135210216589e+07 4.2427053999302499e+07 4.1306579328395635e+07 3.9978917242051013e+07 3.8526952445382491e+07 3.6960431071581669e+07 3.5295695711185835e+07 3.3555841126514107e+07 3.1770072855868541e+07 2.9972138668554481e+07 2.8197883331224669e+07 2.6482238919954490e+07 2.4855980273490671e+07 2.3343094491724730e+07 2.1959610657045204e+07 2.0713398595868573e+07 1.9603766106766753e+07 1.8624030788909771e+07 1.7763983419527542e+07 1.7011245223815080e+07 1.6353238628185743e+07 1.5777906499999922e+07 1.5274914795881178e+07 1.4834832493248340e+07 1.4450223132468976e+07 1.4114219055134298e+07 1.3821836374846082e+07 1.3568166181170117e+07 1.3349115935383389e+07 1.3161505980400788e+07 1.3002011116280859e+07 1.2867426385278981e+07 1.2755399080491168e+07 1.2663028828909010e+07 1.2588174305861944e+07 1.2528389961234791e+07 1.2481553311374979e+07 1.2444800190587778e+07 1.2415349533292312e+07 1.2391106002975743e+07 1.2370092747661496e+07 1.2350386911333380e+07 1.2336482182042204e+07 1.2322455063418200e+07 1.2308147975290649e+07 1.2293164761788685e+07 1.2277708640928844e+07 1.2261337766750230e+07 1.2244588540174332e+07 1.2225987375919115e+07 1.2206080047221689e+07 1.2184500208344903e+07 1.2160961787696749e+07 1.2135117161711574e+07 1.2106574723985702e+07 1.2074774738985470e+07 1.2039771868664159e+07 1.2000257604641665e+07 1.1955955046757160e+07 1.1906221352818279e+07 1.1850364724903980e+07 1.1787671741513748e+07 1.1717426814900355e+07 1.1638841330775796e+07 1.1552013087540986e+07 1.1455435306767166e+07 1.1349434488105331e+07 1.1234255854698939e+07 1.1110802835350227e+07 1.0980612549319023e+07 1.0846610728092570e+07 1.0713153609494854e+07 1.0587363902383344e+07 1.0478217442335475e+07 1.0399751252080822e+07 1.0371527638288880e+07 1.0421969327905146e+07 1.0592444423471900e+07 1.0945640924365569e+07 1.1580797243598962e+07 1.2665115881153854e+07 1.8640993016767239e+06 +1.2575458486162542e+01 5.0063141286585093e+07 5.0058061667483270e+07 5.0049406499394722e+07 5.0037717926226787e+07 5.0025255098747186e+07 5.0015779969362728e+07 5.0011072603399709e+07 5.0008208912245013e+07 5.0004022776424162e+07 4.9997588021327570e+07 4.9988925701149270e+07 4.9977735431724839e+07 4.9963529061965339e+07 4.9945788045259275e+07 4.9923953063875630e+07 4.9897350567589030e+07 4.9865172141164422e+07 4.9826471653293110e+07 4.9780142806174807e+07 4.9724885312287405e+07 4.9659180437219173e+07 4.9581226377861299e+07 4.9488565883331634e+07 4.9376979575895436e+07 4.9241745322436258e+07 4.9080492497149117e+07 4.8890741401792049e+07 4.8668514920179568e+07 4.8408934284165226e+07 4.8106480510808632e+07 4.7755030853890970e+07 4.7347876128991030e+07 4.6877770965159208e+07 4.6337033092284389e+07 4.5717710565576151e+07 4.5011824087750584e+07 4.4211714573784076e+07 4.3310499507692933e+07 4.2302655047524549e+07 4.1184700860979632e+07 3.9860079614921696e+07 3.8411508969214723e+07 3.6848731553538047e+07 3.5188070282569431e+07 3.3452581263691921e+07 3.1671411188858200e+07 2.9878230019167412e+07 2.8108789977927119e+07 2.6397922915145840e+07 2.4776305261387777e+07 2.3267837014289614e+07 2.1888477753568277e+07 2.0646049575597115e+07 1.9539839321112931e+07 1.8563164783717278e+07 1.7705831788897127e+07 1.6955487759710260e+07 1.6299585845237460e+07 1.5726101208318457e+07 1.5224728883060636e+07 1.4786065769909605e+07 1.4402697887872592e+07 1.4067778995846877e+07 1.3776340808790816e+07 1.3523490117557084e+07 1.3305147551632419e+07 1.3118143671297390e+07 1.2959164102822958e+07 1.2825014315061200e+07 1.2713349209791381e+07 1.2621277891644768e+07 1.2546665901095781e+07 1.2487075598638890e+07 1.2440391289897548e+07 1.2403758032137150e+07 1.2374403750983953e+07 1.2350239788043894e+07 1.2329295644419322e+07 1.2309654726273600e+07 1.2295795839343578e+07 1.2281814977750164e+07 1.2267555074696971e+07 1.2252621277928388e+07 1.2237216134032408e+07 1.2220899263170332e+07 1.2204205250780592e+07 1.2185665436155017e+07 1.2165823764841413e+07 1.2144315099321609e+07 1.2120854311477773e+07 1.2095094924215762e+07 1.2066646622672115e+07 1.2034951526516374e+07 1.2000064071881119e+07 1.1960680129541028e+07 1.1916523685294077e+07 1.1866954017086066e+07 1.1811281608584965e+07 1.1748795391172037e+07 1.1678782137174562e+07 1.1600455842048313e+07 1.1513913937844919e+07 1.1417654676853178e+07 1.1312003455634909e+07 1.1197204688626884e+07 1.1074158825070160e+07 1.0944397914743850e+07 1.0810838039952405e+07 1.0677821079534477e+07 1.0552446211039659e+07 1.0443659723546211e+07 1.0365452320744326e+07 1.0337321799664073e+07 1.0387597131916106e+07 1.0557509989619551e+07 1.0909541627944456e+07 1.1542603178467693e+07 1.2623345643179374e+07 1.8570609898048900e+06 +1.2580426808936801e+01 4.9922701646234937e+07 4.9917636224019937e+07 4.9909004756108321e+07 4.9897348014580697e+07 4.9884918261790030e+07 4.9875466657236956e+07 4.9870768267675489e+07 4.9867907332213059e+07 4.9863726542659633e+07 4.9857302058382727e+07 4.9848654580820262e+07 4.9837484282632515e+07 4.9823304045118131e+07 4.9805596377603658e+07 4.9783803073243268e+07 4.9757251942612380e+07 4.9725136200460792e+07 4.9686511607584126e+07 4.9640274084170468e+07 4.9585125959614426e+07 4.9519551569775507e+07 4.9441752782364108e+07 4.9349277442873359e+07 4.9237914937060565e+07 4.9102952538203992e+07 4.8942024396267012e+07 4.8752656392282180e+07 4.8530880092950746e+07 4.8271827352569848e+07 4.7969991381478868e+07 4.7619263233693294e+07 4.7212949218888350e+07 4.6743821198622242e+07 4.6204215844873965e+07 4.5586201718455307e+07 4.4881821310534127e+07 4.4083438100949362e+07 4.3184192149919644e+07 4.2178581086866125e+07 4.1063143471573927e+07 3.9741558157429881e+07 3.8296375944265135e+07 3.6737335888160110e+07 3.5080741182643235e+07 3.3349609273277871e+07 3.1573028049487855e+07 2.9784589768899884e+07 2.8019954278694149e+07 2.6313853425332885e+07 2.4696865489076149e+07 2.3192803631964732e+07 2.1817558182427198e+07 2.0578903719100274e+07 1.9476106268927880e+07 1.8502483900758814e+07 1.7647857515905254e+07 1.6899900715848345e+07 1.6246097324843397e+07 1.5674454735917535e+07 1.5174696994931055e+07 1.4737448855149953e+07 1.4355318755584201e+07 1.4021481813098125e+07 1.3730985300601421e+07 1.3478951664693195e+07 1.3261314664531233e+07 1.3074915047814565e+07 1.2916449234570686e+07 1.2782733088943370e+07 1.2671429098770689e+07 1.2579655817569958e+07 1.2505285630761400e+07 1.2445888785800774e+07 1.2399356357616780e+07 1.2362842599006251e+07 1.2333584399878178e+07 1.2309499760432985e+07 1.2288624515960859e+07 1.2269048315874869e+07 1.2255235129831135e+07 1.2241300382447064e+07 1.2227087518783037e+07 1.2212202986147583e+07 1.2196848661791088e+07 1.2180585627449771e+07 1.2163946658866039e+07 1.2145468004417088e+07 1.2125691787739780e+07 1.2104254075799437e+07 1.2080870681033596e+07 1.2055196269284064e+07 1.2026841813236399e+07 1.1995251281995695e+07 1.1960478886765989e+07 1.1921224863689909e+07 1.1877214081901649e+07 1.1827807932932302e+07 1.1772319174985029e+07 1.1710039085091010e+07 1.1640256788328145e+07 1.1562188881821342e+07 1.1475932432582807e+07 1.1379990707819618e+07 1.1274688004548969e+07 1.1160267930948993e+07 1.1037627965951825e+07 1.0908295105488122e+07 1.0775175812441003e+07 1.0642597651030634e+07 1.0517636340290681e+07 1.0409208713795803e+07 1.0331259299346786e+07 1.0303221583481848e+07 1.0353331072042998e+07 1.0522683427997341e+07 1.0873553800673252e+07 1.1504527050780527e+07 1.2581704385470904e+07 1.8500483864501715e+06 +1.2585395131711060e+01 4.9782608623545498e+07 4.9777556888339713e+07 4.9768949185963504e+07 4.9757324187241659e+07 4.9744927426035777e+07 4.9735499296712808e+07 4.9730809875098906e+07 4.9727951705658518e+07 4.9723776269596480e+07 4.9717362055766165e+07 4.9708729414605752e+07 4.9697579075100906e+07 4.9683424949472368e+07 4.9665750601744488e+07 4.9643998934565760e+07 4.9617499117700271e+07 4.9585445994049348e+07 4.9546897214288764e+07 4.9500750913871787e+07 4.9445712036203824e+07 4.9380267983590059e+07 4.9302624290198132e+07 4.9210333891245775e+07 4.9099194924473323e+07 4.8964504059049800e+07 4.8803900215466596e+07 4.8614914845243789e+07 4.8393588185380094e+07 4.8135062697363429e+07 4.7833843766756617e+07 4.7483836226522647e+07 4.7078361855456941e+07 4.6610209718172893e+07 4.6071735394414708e+07 4.5455027910627201e+07 4.4752151500494964e+07 4.3955492156084925e+07 4.3058212455149114e+07 4.2054831433924086e+07 4.0941906475454904e+07 3.9623352184151001e+07 3.8181552685334191e+07 3.6626243391868457e+07 3.4973707731410518e+07 3.3246924480861440e+07 3.1474922771659859e+07 2.9691217262619089e+07 2.7931375592239823e+07 2.6230029825635977e+07 2.4617660350333486e+07 2.3117993758840859e+07 2.1746851378918294e+07 2.0511960483035054e+07 1.9412566427798688e+07 1.8441987637518436e+07 1.7590060116630577e+07 1.6844483625363722e+07 1.6192772615560800e+07 1.5622966645187633e+07 1.5124818706192555e+07 1.4688981334610386e+07 1.4308085330844382e+07 1.3975327110565212e+07 1.3685769461332465e+07 1.3434550440086929e+07 1.3217616897127444e+07 1.3031819737756608e+07 1.2873866143395169e+07 1.2740582342219826e+07 1.2629638385590523e+07 1.2538162247220691e+07 1.2464033137343636e+07 1.2404829166759796e+07 1.2358448159810178e+07 1.2322053537456144e+07 1.2292891127054779e+07 1.2268885567872053e+07 1.2248079010624835e+07 1.2228567329030007e+07 1.2214799702784041e+07 1.2200910927216193e+07 1.2186744957631245e+07 1.2171909536957113e+07 1.2156605875169585e+07 1.2140396511006743e+07 1.2123812416324118e+07 1.2105394733140422e+07 1.2085683768912423e+07 1.2064316791375736e+07 1.2041010550633932e+07 1.2015420851914465e+07 1.1987159951491874e+07 1.1955673662144424e+07 1.1921015971046573e+07 1.1881891465927545e+07 1.1838025896676365e+07 1.1788782761857335e+07 1.1733477087205902e+07 1.1671402488149932e+07 1.1601850435250733e+07 1.1524040119210491e+07 1.1438068243343908e+07 1.1342443074009109e+07 1.1237487812183321e+07 1.1123445262295442e+07 1.1001209942115262e+07 1.0872303809356906e+07 1.0739623737208644e+07 1.0607483019399637e+07 1.0482933989143033e+07 1.0374864115207920e+07 1.0297171892224619e+07 1.0269226694876671e+07 1.0319170851995103e+07 1.0487964437472582e+07 1.0837677131386718e+07 1.1466568531294309e+07 1.2540191747974144e+07 1.8430614017671887e+06 +1.2590363454485319e+01 4.9642860769241706e+07 4.9637823047790445e+07 4.9629239118601896e+07 4.9617645781629369e+07 4.9605281932285354e+07 4.9595877228561848e+07 4.9591196766393594e+07 4.9588341373158894e+07 4.9584171297712028e+07 4.9577767353898630e+07 4.9569149542854525e+07 4.9558019149378546e+07 4.9543891115164801e+07 4.9526250057618156e+07 4.9504539987676442e+07 4.9478091432609811e+07 4.9446100861506552e+07 4.9407627812721767e+07 4.9361572634432651e+07 4.9306642880914524e+07 4.9241329017314292e+07 4.9163840239685215e+07 4.9071734566298954e+07 4.8960818875486150e+07 4.8826399221812069e+07 4.8666119290912516e+07 4.8477516096140169e+07 4.8256638532072924e+07 4.7998639652119517e+07 4.7698036999044366e+07 4.7348749163552389e+07 4.6944113368423030e+07 4.6476935851957679e+07 4.5939591067323014e+07 4.5324188466742866e+07 4.4622813980279900e+07 4.3827876060007490e+07 4.2932559742393099e+07 4.1931405405971095e+07 4.0820989188727759e+07 3.9505461010486022e+07 3.8067038508132517e+07 3.6515453382137947e+07 3.4866969249792181e+07 3.3144526213131078e+07 3.1377094690255526e+07 2.9598111846289825e+07 2.7843053278357305e+07 2.6146451492341775e+07 2.4538689240128182e+07 2.3043406810188331e+07 2.1676356779498454e+07 2.0445219325232454e+07 1.9349219276406784e+07 1.8381675492593557e+07 1.7532439108234726e+07 1.6789236022406492e+07 1.6139611266946374e+07 1.5571636499497609e+07 1.5075093592526944e+07 1.4640662794837337e+07 1.4260997209797051e+07 1.3929314492855016e+07 1.3640692902942868e+07 1.3390286062094023e+07 1.3174053873322105e+07 1.2988857369795104e+07 1.2831414462001212e+07 1.2698561711042184e+07 1.2587976709234621e+07 1.2496796821966864e+07 1.2422908064138783e+07 1.2363896386386694e+07 1.2317666342579784e+07 1.2281390494577879e+07 1.2252323580393672e+07 1.2228396858931821e+07 1.2207658777552530e+07 1.2188211415440599e+07 1.2174489208300931e+07 1.2160646262519630e+07 1.2146527042140732e+07 1.2131740581687244e+07 1.2116487425925257e+07 1.2100331566060321e+07 1.2083802175855760e+07 1.2065445275541537e+07 1.2045799362145346e+07 1.2024502900460357e+07 1.2001273575353594e+07 1.1975768327930097e+07 1.1947600694063794e+07 1.1916218324476484e+07 1.1881674983217921e+07 1.1842679595879592e+07 1.1798958790500576e+07 1.1749878166173529e+07 1.1694755009146590e+07 1.1632885266004931e+07 1.1563562745580165e+07 1.1486009224093638e+07 1.1400321042470744e+07 1.1305011450495601e+07 1.1200402556627188e+07 1.1086736364020564e+07 1.0964904438433342e+07 1.0836423714915276e+07 1.0704181506606672e+07 1.0572476880796677e+07 1.0448338857297633e+07 1.0340625630568778e+07 1.0263189804412184e+07 1.0235336839680435e+07 1.0285116176171290e+07 1.0453352717601638e+07 1.0801911309627613e+07 1.1428727291555783e+07 1.2498807371455500e+07 1.8360999462054260e+06 +1.2595331777259577e+01 4.9503457933462985e+07 4.9498434089726575e+07 4.9489873896527082e+07 4.9478312132738546e+07 4.9465981121258482e+07 4.9456599793937504e+07 4.9451928282678358e+07 4.9449075675708145e+07 4.9444910967996553e+07 4.9438517293639369e+07 4.9429914306304991e+07 4.9418803846135840e+07 4.9404701882717833e+07 4.9387094085706547e+07 4.9365425572899267e+07 4.9339028227511108e+07 4.9307100142854281e+07 4.9268702742678799e+07 4.9222738585434213e+07 4.9167917833139598e+07 4.9102734009982042e+07 4.9025399969487719e+07 4.8933478806388773e+07 4.8822786127981655e+07 4.8688637363754578e+07 4.8528680959265716e+07 4.8340459480862118e+07 4.8120030467993371e+07 4.7862557550865784e+07 4.7562570411301740e+07 4.7214001376408458e+07 4.6810203087999180e+07 4.6343998928677186e+07 4.5807782190632753e+07 4.5193682711972438e+07 4.4493808073242508e+07 4.3700589134138487e+07 4.2807233331224613e+07 4.1808302321116127e+07 4.0700390928175129e+07 3.9387883952597849e+07 3.7952832729228757e+07 3.6404965177307427e+07 3.4760525059700526e+07 3.3042413797765214e+07 3.1279543141301531e+07 2.9505272866995830e+07 2.7754986698023193e+07 2.6063117802888770e+07 2.4459951554569103e+07 2.2969042202366032e+07 2.1606073821760643e+07 2.0378679704646587e+07 1.9286064294600151e+07 1.8321546965702236e+07 1.7474994008940499e+07 1.6734157442187253e+07 1.6086612829590546e+07 1.5520463863205835e+07 1.5025521230558287e+07 1.4592492823335875e+07 1.4214053989550881e+07 1.3883443565465901e+07 1.3595755238304239e+07 1.3346158149969129e+07 1.3130625217902193e+07 1.2946027573442765e+07 1.2789093823947581e+07 1.2656670832368769e+07 1.2546443709545491e+07 1.2455559184014523e+07 1.2381910055285741e+07 1.2323090090355735e+07 1.2277010552852675e+07 1.2240853118274560e+07 1.2211881408610286e+07 1.2188033282977570e+07 1.2167363466711426e+07 1.2147980225619785e+07 1.2134303297293637e+07 1.2120506039682243e+07 1.2106433424025485e+07 1.2091695772462938e+07 1.2076492966634804e+07 1.2060390445656667e+07 1.2043915590970116e+07 1.2025619285665641e+07 1.2006038222046651e+07 1.1984812058269691e+07 1.1961659411063422e+07 1.1936238353918079e+07 1.1908163698343519e+07 1.1876884927317461e+07 1.1842455582600493e+07 1.1803588913993398e+07 1.1760012425060222e+07 1.1711093808961298e+07 1.1656152605457824e+07 1.1594487085098963e+07 1.1525393387760568e+07 1.1448095867131209e+07 1.1362690503073022e+07 1.1267695513135429e+07 1.1163431916727291e+07 1.1050140918227486e+07 1.0928711140486097e+07 1.0800654511442451e+07 1.0668848813705577e+07 1.0537578932064177e+07 1.0413850645163864e+07 1.0306492963384129e+07 1.0229312741620515e+07 1.0201551724416312e+07 1.0251166749659823e+07 1.0418847968648611e+07 1.0766256025659539e+07 1.1391003003844118e+07 1.2457550897529436e+07 1.8291639305083586e+06 +1.2600300100033836e+01 4.9364399347673774e+07 4.9359389416566812e+07 4.9350852847588122e+07 4.9339322574805491e+07 4.9327024333784878e+07 4.9317666334586136e+07 4.9313003765508182e+07 4.9310153954758935e+07 4.9305994621740304e+07 4.9299611216227673e+07 4.9291023046198905e+07 4.9279932506442383e+07 4.9265856593189768e+07 4.9248282026867233e+07 4.9226655030970126e+07 4.9200308842978127e+07 4.9168443178508148e+07 4.9130121344464354e+07 4.9084248106944874e+07 4.9029536232594676e+07 4.8964482301069491e+07 4.8887302818803117e+07 4.8795565950213760e+07 4.8685096020256266e+07 4.8551217822702974e+07 4.8391584557670757e+07 4.8203744335770957e+07 4.7983763328736998e+07 4.7726815728142336e+07 4.7427443336924493e+07 4.7079592197316498e+07 4.6676630345001541e+07 4.6211398277581163e+07 4.5676308091900192e+07 4.5063509972106472e+07 4.4365133103324950e+07 4.3573630700603992e+07 4.2682232542005531e+07 4.1685521498117201e+07 4.0580111011419803e+07 3.9270620327517450e+07 3.7838934666080415e+07 3.6294778096595496e+07 3.4654374484023243e+07 3.2940586563416976e+07 3.1182267461866502e+07 2.9412699672890939e+07 2.7667175213290066e+07 2.5980028135867648e+07 2.4381446690962322e+07 2.2894899353007425e+07 2.1536001944457285e+07 2.0312341081338886e+07 1.9223100963264503e+07 1.8261601557602927e+07 1.7417724338025089e+07 1.6679247420948712e+07 1.6033776855068255e+07 1.5469448301679898e+07 1.4976101197882969e+07 1.4544471008557139e+07 1.4167255268105365e+07 1.3837713934806028e+07 1.3550956081145210e+07 1.3302166323828774e+07 1.3087330556505067e+07 1.2903329979094161e+07 1.2746903863658100e+07 1.2614909344038453e+07 1.2505039027198883e+07 1.2414448976390621e+07 1.2341038755738381e+07 1.2282409925199039e+07 1.2236480438365921e+07 1.2200441057272160e+07 1.2171564261218598e+07 1.2147794490202479e+07 1.2127192728867279e+07 1.2107873410908189e+07 1.2094241621480392e+07 1.2080489910824237e+07 1.2066463755815925e+07 1.2051774762242420e+07 1.2036622150672140e+07 1.2020572803639490e+07 1.2004152315987231e+07 1.1985916418348897e+07 1.1966400004008606e+07 1.1945243920810603e+07 1.1922167714450967e+07 1.1896830587296929e+07 1.1868848622574439e+07 1.1837673129759612e+07 1.1803357429290732e+07 1.1764619081462981e+07 1.1721186462821972e+07 1.1672429354082007e+07 1.1617669541584410e+07 1.1556207612658318e+07 1.1487342030977193e+07 1.1410299719731422e+07 1.1325176299007794e+07 1.1230494938506521e+07 1.1126575572067011e+07 1.1013658607743884e+07 1.0892629734604709e+07 1.0764995888928806e+07 1.0633625352272201e+07 1.0502788870752901e+07 1.0379469053838130e+07 1.0272465817828236e+07 1.0195540410246955e+07 1.0167871056264438e+07 1.0217322278229596e+07 1.0384449891573979e+07 1.0730710970468441e+07 1.1353395341215074e+07 1.2416421968639467e+07 1.8222532657125774e+06 +1.2605268422808095e+01 4.9225684263248600e+07 4.9220688296123326e+07 4.9212175297102787e+07 4.9200676444676600e+07 4.9188410910780169e+07 4.9179076192608073e+07 4.9174422556865215e+07 4.9171575552207105e+07 4.9167421600811817e+07 4.9161048463415667e+07 4.9152475104105480e+07 4.9141404471878521e+07 4.9127354587976120e+07 4.9109813222435161e+07 4.9088227703074940e+07 4.9061932620063908e+07 4.9030129309332758e+07 4.8991882958727226e+07 4.8946100539424539e+07 4.8891497419546455e+07 4.8826573230526298e+07 4.8749548127179809e+07 4.8657995337064296e+07 4.8547747891087331e+07 4.8414139936867140e+07 4.8254829423688918e+07 4.8067369997727647e+07 4.7847836450233370e+07 4.7591413518971242e+07 4.7292655109805554e+07 4.6945520958874390e+07 4.6543394470703714e+07 4.6079133228417672e+07 4.5545168099258743e+07 4.4933669573514469e+07 4.4236788395072311e+07 4.3447000082091443e+07 4.2557556695718691e+07 4.1563062256389767e+07 4.0460148756806225e+07 3.9153669453036539e+07 3.7725343636963412e+07 3.6184891460181102e+07 3.4548516846564882e+07 3.2839043839821417e+07 3.1085266990023952e+07 2.9320391613276146e+07 2.7579618187409371e+07 2.5897181871006824e+07 2.4303174047740214e+07 2.2820977680866156e+07 2.1466140587503485e+07 2.0246202916567191e+07 1.9160328764489952e+07 1.8201838770182349e+07 1.7360629615826592e+07 1.6624505495956523e+07 1.5981102895971982e+07 1.5418589381225882e+07 1.4926833073065242e+07 1.4496596939879755e+07 1.4120600644371888e+07 1.3792125208190054e+07 1.3506295046109825e+07 1.3258310204687824e+07 1.3044169515659625e+07 1.2860764217971031e+07 1.2704844216387644e+07 1.2573276884714475e+07 1.2463762303694654e+07 1.2373465842961663e+07 1.2300293811290625e+07 1.2241855538240407e+07 1.2196075647702843e+07 1.2160153961114923e+07 1.2131371788564079e+07 1.2107680131628860e+07 1.2087146215627972e+07 1.2067890623443093e+07 1.2054303833404755e+07 1.2040597528873598e+07 1.2026617690831186e+07 1.2011977204780400e+07 1.1996874632233348e+07 1.1980878294664424e+07 1.1964512006031176e+07 1.1946336329242771e+07 1.1926884364256201e+07 1.1905798144894077e+07 1.1882798142989445e+07 1.1857544686276618e+07 1.1829655125751438e+07 1.1798582591731785e+07 1.1764380184164653e+07 1.1725769760285309e+07 1.1682480567017294e+07 1.1633884466199601e+07 1.1579305483763726e+07 1.1518046516665377e+07 1.1449408345211750e+07 1.1372620454079622e+07 1.1287778104918251e+07 1.1193409403974297e+07 1.1089833202983996e+07 1.0977289116159352e+07 1.0856659907848548e+07 1.0729447538107194e+07 1.0598510816821173e+07 1.0468106395109901e+07 1.0345193785129724e+07 1.0238543898771320e+07 1.0161872517380912e+07 1.0134294543111235e+07 1.0183582468333075e+07 1.0350158188031444e+07 1.0695275835770531e+07 1.1315903977502808e+07 1.2375420228063343e+07 1.8153678631469107e+06 +1.2610236745582354e+01 4.9087312390595302e+07 4.9082330245282076e+07 4.9073840608385473e+07 4.9062373084316246e+07 4.9050140193807416e+07 4.9040828710562006e+07 4.9036183999163419e+07 4.9033339810347162e+07 4.9029191247417316e+07 4.9022828377394214e+07 4.9014269822181955e+07 4.9003219084379949e+07 4.8989195208967760e+07 4.8971687014176898e+07 4.8950142930890888e+07 4.8923898900278188e+07 4.8892157876650915e+07 4.8853986926634669e+07 4.8808295223777600e+07 4.8753800734673709e+07 4.8689006138767689e+07 4.8612135234737940e+07 4.8520766306596301e+07 4.8410741079729818e+07 4.8277403044961371e+07 4.8118414895479724e+07 4.7931335804038174e+07 4.7712249169010952e+07 4.7456350258877248e+07 4.7158205064480670e+07 4.6811786994369537e+07 4.6410494796979152e+07 4.5947203111567453e+07 4.5414361541447558e+07 4.4804160843236968e+07 4.4108773273703448e+07 4.3320696602049083e+07 4.2433205114074156e+07 4.1440923916271590e+07 4.0340503483485445e+07 3.9037030647813231e+07 3.7612058961017765e+07 3.6075304589142598e+07 3.4442951472109243e+07 3.2737784957721572e+07 3.0988541064959351e+07 2.9228348038518514e+07 2.7492314984705787e+07 2.5814578389244705e+07 2.4225133024534665e+07 2.2747276605783179e+07 2.1396489191986185e+07 2.0180264672682885e+07 1.9097747181409292e+07 1.8142258106383406e+07 1.7303709363749616e+07 1.6569931205524884e+07 1.5928590505921924e+07 1.5367886669170002e+07 1.4877716435602140e+07 1.4448870207628077e+07 1.4074089718214748e+07 1.3746676993820945e+07 1.3461771748714175e+07 1.3214589414420113e+07 1.3001141722731732e+07 1.2818329922178723e+07 1.2662914518236557e+07 1.2531773093902832e+07 1.2422613181374401e+07 1.2332609428417215e+07 1.2259674868547969e+07 1.2201426577656239e+07 1.2155795830227861e+07 1.2119991480160827e+07 1.2091303641808463e+07 1.2067689859053886e+07 1.2047223579385657e+07 1.2028031516177829e+07 1.2014489586400267e+07 1.2000828547552045e+07 1.1986894883217910e+07 1.1972302754625123e+07 1.1957250066313414e+07 1.1941306574173542e+07 1.1924994317017350e+07 1.1906878674787020e+07 1.1887490959782586e+07 1.1866474388143934e+07 1.1843550354948990e+07 1.1818380309849663e+07 1.1790582867676381e+07 1.1759612973916968e+07 1.1725523508916827e+07 1.1687040613279779e+07 1.1643894401711050e+07 1.1595458810736794e+07 1.1541060098997008e+07 1.1480003465879072e+07 1.1411592001188062e+07 1.1335057743128745e+07 1.1250495596193368e+07 1.1156438587624792e+07 1.1053204490557682e+07 1.0941032127787607e+07 1.0820801347998071e+07 1.0694009150419997e+07 1.0563504902558081e+07 1.0433531204114703e+07 1.0311024541521002e+07 1.0204726911789242e+07 1.0128308770772297e+07 1.0100821893522687e+07 1.0149947027122697e+07 1.0315972560376121e+07 1.0659950313982535e+07 1.1278528587275628e+07 1.2334545319902016e+07 1.8085076344315649e+06 +1.2615205068356612e+01 4.8949282660831399e+07 4.8944314408201233e+07 4.8935848140784822e+07 4.8924411841024823e+07 4.8912211524964333e+07 4.8902923231518790e+07 4.8898287435318768e+07 4.8895446071909927e+07 4.8891302904238813e+07 4.8884950300737448e+07 4.8876406542942591e+07 4.8865375686427556e+07 4.8851377798495501e+07 4.8833902744321562e+07 4.8812400056481890e+07 4.8786207025583178e+07 4.8754528222294427e+07 4.8716432589777388e+07 4.8670831501443788e+07 4.8616445519129008e+07 4.8551780366639495e+07 4.8475063481989741e+07 4.8383878198974282e+07 4.8274074925931029e+07 4.8141006486170776e+07 4.7982340311463512e+07 4.7795641092604876e+07 4.7577000822096236e+07 4.7321625283963859e+07 4.7024092535847977e+07 4.6678389637559906e+07 4.6277930656226389e+07 4.5815607257991180e+07 4.5283887747793101e+07 4.4674983108855277e+07 4.3981087065084510e+07 4.3194719584547378e+07 4.2309177119505383e+07 4.1319105798645906e+07 4.0221174511340275e+07 3.8920703231281146e+07 3.7499079958314233e+07 3.5966016805480652e+07 3.4337677686493501e+07 3.2636809248825062e+07 3.0892089026941974e+07 2.9136568300108466e+07 2.7405264970693056e+07 2.5732217072609369e+07 2.4147323022126205e+07 2.2673795548882950e+07 2.1327047200135145e+07 2.0114525813192695e+07 1.9035355698330112e+07 1.8082859070259366e+07 1.7246963104274996e+07 1.6515524088985920e+07 1.5876239239487061e+07 1.5317339733799184e+07 1.4828750865975782e+07 1.4401290403058086e+07 1.4027722090396360e+07 1.3701368900835013e+07 1.3417385805373194e+07 1.3171003575773641e+07 1.2958246805961564e+07 1.2776026724657524e+07 1.2621114406168567e+07 1.2490397611925887e+07 1.2381591303413477e+07 1.2291879378278250e+07 1.2219181574945819e+07 1.2161122692402944e+07 1.2115640636158034e+07 1.2079953265590245e+07 1.2051359472921334e+07 1.2027823325128125e+07 1.2007424473357445e+07 1.1988295742878774e+07 1.1974798534622073e+07 1.1961182621433606e+07 1.1947294987922287e+07 1.1932751067158816e+07 1.1917748108716251e+07 1.1901857298439180e+07 1.1885598905678403e+07 1.1867543112242643e+07 1.1848219448397499e+07 1.1827272308971701e+07 1.1804424009413112e+07 1.1779337117822846e+07 1.1751631508950297e+07 1.1720763937806891e+07 1.1686787066011831e+07 1.1648431303986279e+07 1.1605427631705347e+07 1.1557152053922649e+07 1.1502933055053802e+07 1.1442078129855067e+07 1.1373892670428453e+07 1.1297611260586360e+07 1.1213328448957019e+07 1.1119582168319462e+07 1.1016689116603240e+07 1.0904887327682409e+07 1.0785053743565015e+07 1.0658680418018423e+07 1.0528607305398667e+07 1.0399062997409102e+07 1.0276961026206534e+07 1.0171014563120231e+07 1.0094848878886163e+07 1.0067452816715369e+07 1.0116415662416643e+07 1.0281892711651245e+07 1.0624734098252714e+07 1.1241268845868396e+07 1.2293796889100216e+07 1.8016724914772480e+06 +1.2620173391130871e+01 4.8811594426542722e+07 4.8806639987535454e+07 4.8798197216564357e+07 4.8786792065624408e+07 4.8774624247269005e+07 4.8765359098921493e+07 4.8760732208594128e+07 4.8757893680175848e+07 4.8753755914501972e+07 4.8747413576550469e+07 4.8738884609334104e+07 4.8727873620884575e+07 4.8713901699376047e+07 4.8696459755510114e+07 4.8674998422414325e+07 4.8648856338365711e+07 4.8617239688485518e+07 4.8579219290183656e+07 4.8533708714233562e+07 4.8479431114505522e+07 4.8414895255478859e+07 4.8338332209955037e+07 4.8247330354827553e+07 4.8137748769776732e+07 4.8004949600150689e+07 4.7846605010787673e+07 4.7660285201687284e+07 4.7442090746933199e+07 4.7187237930721469e+07 4.6890316859434418e+07 4.6545328222728901e+07 4.6145701381446190e+07 4.5684344999141715e+07 4.5153746048171200e+07 4.4546135698606946e+07 4.3853729095632426e+07 4.3069068354326002e+07 4.2185472035107628e+07 4.1197607225249417e+07 4.0102161161085054e+07 3.8804686523749001e+07 3.7386405949690051e+07 3.5857027432097197e+07 3.4232694816383235e+07 3.2536116045896899e+07 3.0795910217265692e+07 2.9045051750618361e+07 2.7318467511949703e+07 2.5650097304337002e+07 2.4069743442447301e+07 2.2600533932400186e+07 2.1257814055309698e+07 2.0048985802747715e+07 1.8973153800611276e+07 1.8023641166947190e+07 1.7190390360908553e+07 1.6461283686719632e+07 1.5824048652303675e+07 1.5266948144391693e+07 1.4779935945613079e+07 1.4353857118374148e+07 1.3981497362588588e+07 1.3656200539240705e+07 1.3373136833382851e+07 1.3127552312387155e+07 1.2915484394457363e+07 1.2733854259193204e+07 1.2579443517975919e+07 1.2449150079981072e+07 1.2340696313809536e+07 1.2251275338892356e+07 1.2178813578743679e+07 1.2120943532298382e+07 1.2075609716506837e+07 1.2040038969388701e+07 1.2011538934673004e+07 1.1988080183294827e+07 1.1967748551572816e+07 1.1948682958116127e+07 1.1935230333036195e+07 1.1921659405847402e+07 1.1907817660690892e+07 1.1893321798539076e+07 1.1878368416038685e+07 1.1862530124522489e+07 1.1846325429550571e+07 1.1828329299652027e+07 1.1809069488715436e+07 1.1788191566579636e+07 1.1765418766246874e+07 1.1740414770778541e+07 1.1712800710968111e+07 1.1682035145692274e+07 1.1648170518722277e+07 1.1609941496811811e+07 1.1567079922605962e+07 1.1518963862741742e+07 1.1464924020498659e+07 1.1404270178886758e+07 1.1336310025203096e+07 1.1260280680930503e+07 1.1176276340130743e+07 1.1082839825652646e+07 1.0980286763703110e+07 1.0868854401631113e+07 1.0749416783792390e+07 1.0623461033807375e+07 1.0493817721982928e+07 1.0364701475367567e+07 1.0243002943069845e+07 1.0137406559697166e+07 1.0061492550848648e+07 1.0034187022634963e+07 1.0082988082725171e+07 1.0247918345594391e+07 1.0589626882443780e+07 1.1204124429379378e+07 1.2253174581420852e+07 1.7948623464843046e+06 +1.2625141713905130e+01 4.8674247431972347e+07 4.8669306554397255e+07 4.8660887153770179e+07 4.8649513109419614e+07 4.8637377704642884e+07 4.8628135656574942e+07 4.8623517662786923e+07 4.8620681978695467e+07 4.8616549621732399e+07 4.8610217548312999e+07 4.8601703364838541e+07 4.8590712231110215e+07 4.8576766254791148e+07 4.8559357390903153e+07 4.8537937371672302e+07 4.8511846181460351e+07 4.8480291617915288e+07 4.8442346370462701e+07 4.8396926204485282e+07 4.8342756862881973e+07 4.8278350147084445e+07 4.8201940760089278e+07 4.8111122115267873e+07 4.8001761952026978e+07 4.7869231727065541e+07 4.7711208332944222e+07 4.7525267470149398e+07 4.7307518281563491e+07 4.7053187536290690e+07 4.6756877371228814e+07 4.6412602084733151e+07 4.6013806306140468e+07 4.5553415667127147e+07 4.5023935773097947e+07 4.4417617941311143e+07 4.3726698692509040e+07 4.2943742236780033e+07 4.2062089184657514e+07 4.1076427518478468e+07 3.9983462754128151e+07 3.8688979846279040e+07 3.7274036256970286e+07 3.5748335792873159e+07 3.4128002189572662e+07 3.2435704682756960e+07 3.0700003978304517e+07 2.8953797743754871e+07 2.7231921976256561e+07 2.5568218468743753e+07 2.3992393688630488e+07 2.2527491179725397e+07 2.1188789202037502e+07 1.9983644107097629e+07 1.8911140974776015e+07 1.7964603902664710e+07 1.7133990658241913e+07 1.6407209540127702e+07 1.5772018300991602e+07 1.5216711471196990e+07 1.4731271256897440e+07 1.4306569946707763e+07 1.3935415137408938e+07 1.3611171519953562e+07 1.3329024450919598e+07 1.3084235248740556e+07 1.2872854118176602e+07 1.2691812160457181e+07 1.2537901492294541e+07 1.2408030140091421e+07 1.2299927857404776e+07 1.2210796957433611e+07 1.2138570529023450e+07 1.2080888747947775e+07 1.2035702723109525e+07 1.2000248244368874e+07 1.1971841680672895e+07 1.1948460087810809e+07 1.1928195468857633e+07 1.1909192817276876e+07 1.1895784637414457e+07 1.1882258556970356e+07 1.1868462558099363e+07 1.1854014605753938e+07 1.1839110645700714e+07 1.1823324710288567e+07 1.1807173546959555e+07 1.1789236895865990e+07 1.1770040740137419e+07 1.1749231820982153e+07 1.1726534286115708e+07 1.1701612930106139e+07 1.1674090135910379e+07 1.1643426260633247e+07 1.1609673531074852e+07 1.1571570856875336e+07 1.1528850940801756e+07 1.1480893904964484e+07 1.1427032664667908e+07 1.1366579284065371e+07 1.1298843738544498e+07 1.1223065679397019e+07 1.1139338947363019e+07 1.1046211239981860e+07 1.0943997115157578e+07 1.0832933036154935e+07 1.0713890158655802e+07 1.0588350691371411e+07 1.0459135849645816e+07 1.0330446339054268e+07 1.0209149996675547e+07 1.0103902609140120e+07 1.0028239496460536e+07 1.0001024221861968e+07 1.0049663997231342e+07 1.0214049166642604e+07 1.0554628361134639e+07 1.1167095014669456e+07 1.2212678043465536e+07 1.7880771119418605e+06 +1.2630110036679389e+01 4.8537240566117838e+07 4.8532313543125875e+07 4.8523917296009958e+07 4.8512574321688741e+07 4.8500471242007531e+07 4.8491252248791300e+07 4.8486643142080367e+07 4.8483810311728269e+07 4.8479683370002322e+07 4.8473361560019761e+07 4.8464862153320216e+07 4.8453890860870600e+07 4.8439970808481574e+07 4.8422594994094454e+07 4.8401216247687787e+07 4.8375175898245856e+07 4.8343683353766508e+07 4.8305813173528425e+07 4.8260483314945772e+07 4.8206422106818028e+07 4.8142144383749522e+07 4.8065888474362478e+07 4.7975252821856886e+07 4.7866113813805878e+07 4.7733852207550228e+07 4.7576149618035287e+07 4.7390587237320296e+07 4.7173282764519617e+07 4.6919473438190736e+07 4.6623773407807648e+07 4.6280210558866978e+07 4.5882244764378406e+07 4.5422818594491906e+07 4.4894456253649279e+07 4.4289429166401088e+07 4.3599995183453031e+07 4.2818740558024891e+07 4.1939027892690457e+07 4.0955566001531221e+07 3.9865078612755261e+07 3.8573582520818450e+07 3.7161970202768706e+07 3.5639941212546043e+07 3.4023599134682633e+07 3.2335574494178064e+07 3.0604369653527670e+07 2.8862805634305079e+07 2.7145627732482154e+07 2.5486579951400124e+07 2.3915273164920557e+07 2.2454666715412799e+07 2.1119972086013384e+07 1.9918500193163052e+07 1.8849316708409950e+07 1.7905746784719594e+07 1.7077763521897878e+07 1.6353301191638155e+07 1.5720147743144374e+07 1.5166629285430362e+07 1.4682756383174203e+07 1.4259428482109919e+07 1.3889475018355925e+07 1.3566281454798441e+07 1.3285048277054701e+07 1.3041052010215983e+07 1.2830355607949730e+07 1.2649900063938497e+07 1.2496487968614705e+07 1.2367037435103318e+07 1.2259285579870366e+07 1.2170443881900214e+07 1.2098452075684380e+07 1.2040957990792407e+07 1.1995919308619764e+07 1.1960580744142203e+07 1.1932267365319090e+07 1.1908962693736991e+07 1.1888764880867854e+07 1.1869824976536233e+07 1.1856461104316069e+07 1.1842979731760334e+07 1.1829229337494938e+07 1.1814829146589547e+07 1.1799974455893785e+07 1.1784240714399699e+07 1.1768142917040104e+07 1.1750265560544578e+07 1.1731132862869401e+07 1.1710392732986465e+07 1.1687770230483606e+07 1.1662931257999772e+07 1.1635499446754724e+07 1.1604936946496181e+07 1.1571295767919142e+07 1.1533319050123913e+07 1.1490740353465008e+07 1.1442941849156268e+07 1.1389258657663228e+07 1.1329005117245575e+07 1.1261493484279331e+07 1.1185965931971313e+07 1.1102515949066782e+07 1.1009696092407234e+07 1.0907819855010819e+07 1.0797122918514555e+07 1.0678473558839014e+07 1.0553349085034322e+07 1.0424561386432238e+07 1.0296297290237231e+07 1.0175401892296238e+07 1.0070502419756837e+07 9.9950894262138400e+06 9.9679641256791465e+06 1.0016443115816906e+07 1.0180284879914982e+07 1.0519738229613179e+07 1.1130180279344331e+07 1.2172306922661373e+07 1.7813167006269493e+06 +1.2635078359453647e+01 4.8400573445431277e+07 4.8395660016664162e+07 4.8387286999855734e+07 4.8375975048056841e+07 4.8363904205150269e+07 4.8354708220184863e+07 4.8350107991182551e+07 4.8347278023726031e+07 4.8343156503850006e+07 4.8336844956136160e+07 4.8328360319167115e+07 4.8317408854477637e+07 4.8303514704626530e+07 4.8286171909108520e+07 4.8264834394475058e+07 4.8238844832487457e+07 4.8207414239637263e+07 4.8169619042840801e+07 4.8124379388891362e+07 4.8070426189297281e+07 4.8006277308148488e+07 4.7930174695202604e+07 4.7839721816671669e+07 4.7730803696732163e+07 4.7598810382731445e+07 4.7441428206455961e+07 4.7256243842979565e+07 4.7039383534758583e+07 4.6786094974596307e+07 4.6491004306256212e+07 4.6148152981148697e+07 4.5751016090761378e+07 4.5292553114530116e+07 4.4765306821553901e+07 4.4161568703967139e+07 4.3473617896893665e+07 4.2694062644778527e+07 4.1816287484444618e+07 4.0835021998322770e+07 3.9747008059944786e+07 3.8458493870116673e+07 3.7050207110618934e+07 3.5531843016799383e+07 3.3919484981423743e+07 3.2235724815984406e+07 3.0509006587415002e+07 2.8772074778167132e+07 2.7059584150671594e+07 2.5405181138939925e+07 2.3838381276781816e+07 2.2382059965198018e+07 2.1051362154057182e+07 1.9853553528967731e+07 1.8787680490268808e+07 1.7847069321494319e+07 1.7021708478601009e+07 1.6299558184702652e+07 1.5668436537397457e+07 1.5116701159323018e+07 1.4634390908714088e+07 1.4212432319583734e+07 1.3843676609855117e+07 1.3521529956478983e+07 1.3241207931731675e+07 1.2998002223058248e+07 1.2787988495449560e+07 1.2608117605993832e+07 1.2455202587259836e+07 1.2326171608685600e+07 1.2218769127680916e+07 1.2130215761108516e+07 1.2058457869449126e+07 1.2001150913084339e+07 1.1956259126503132e+07 1.1921036123136727e+07 1.1892815643841496e+07 1.1869587656943535e+07 1.1849456444038989e+07 1.1830579092905603e+07 1.1817259391142054e+07 1.1803822587977447e+07 1.1790117657058381e+07 1.1775765079605352e+07 1.1760959505649591e+07 1.1745277796323249e+07 1.1729233199725574e+07 1.1711414954124222e+07 1.1692345517913390e+07 1.1671673964199333e+07 1.1649126261597959e+07 1.1624369417411294e+07 1.1597028307259908e+07 1.1566566867936647e+07 1.1533036894854166e+07 1.1495185743257610e+07 1.1452747828526791e+07 1.1405107364629593e+07 1.1351601670360232e+07 1.1291547351036124e+07 1.1224258936967840e+07 1.1148981115418565e+07 1.1065807024399513e+07 1.0973294064777222e+07 1.0871754668071235e+07 1.0761423736701833e+07 1.0643166675772816e+07 1.0518455909826124e+07 1.0390094031109855e+07 1.0262254031378582e+07 1.0141758335880926e+07 1.0037205700524118e+07 9.9620420512758810e+06 9.9350064460336361e+06 9.9833251490294132e+06 1.0146625191225952e+07 1.0484956183888528e+07 1.1093379901773036e+07 1.2132060867247997e+07 1.7745810256036613e+06 +1.2640046682227906e+01 4.8264245331975102e+07 4.8259345445183352e+07 4.8250995615768835e+07 4.8239714630241998e+07 4.8227675940302715e+07 4.8218502915844589e+07 4.8213911555196911e+07 4.8211084459813505e+07 4.8206968368239336e+07 4.8200667081556343e+07 4.8192197207214624e+07 4.8181265556643389e+07 4.8167397287799440e+07 4.8150087480486445e+07 4.8128791156383902e+07 4.8102852328420691e+07 4.8071483619706683e+07 4.8033763322361760e+07 4.7988613770059012e+07 4.7934768453839228e+07 4.7870748263541654e+07 4.7794798765515551e+07 4.7704528442282207e+07 4.7595830942983903e+07 4.7464105594236962e+07 4.7307043439349383e+07 4.7122236627498902e+07 4.6905819931901745e+07 4.6653051484151281e+07 4.6358569404199861e+07 4.6016428687997751e+07 4.5620119620507233e+07 4.5162618561049975e+07 4.4636486809041068e+07 4.4034035884727784e+07 4.3347566161861598e+07 4.2569707824495897e+07 4.1693867285796173e+07 4.0714794833516113e+07 3.9629250419540659e+07 3.8343713217777774e+07 3.6938746304926820e+07 3.5424040532268442e+07 3.3815659060431913e+07 3.2136154985087443e+07 3.0413914125546083e+07 2.8681604532345504e+07 2.6973790601957813e+07 2.5324021419211928e+07 2.3761717430777766e+07 2.2309670355967231e+07 2.0982958854170248e+07 1.9788803583711576e+07 1.8726231810163934e+07 1.7788571022463869e+07 1.6965825056058567e+07 1.6245980063802131e+07 1.5616884243368208e+07 1.5066926666028755e+07 1.4586174418791845e+07 1.4165581055049118e+07 1.3798019517261285e+07 1.3476916638608612e+07 1.3197503035783105e+07 1.2955085514361683e+07 1.2745752413223613e+07 1.2566464423811756e+07 1.2414044989390589e+07 1.2285432305379057e+07 1.2178378148175428e+07 1.2090112244706944e+07 1.2018587561843982e+07 1.1961467167881362e+07 1.1916721831032556e+07 1.1881614036602223e+07 1.1853486172247922e+07 1.1830334634115715e+07 1.1810269815625301e+07 1.1791454824174343e+07 1.1778179156048961e+07 1.1764786784196578e+07 1.1751127175739972e+07 1.1736822064200602e+07 1.1722065454765417e+07 1.1706435616331993e+07 1.1690444055739701e+07 1.1672684737848578e+07 1.1653678367056452e+07 1.1633075176996171e+07 1.1610602042510834e+07 1.1585927072112493e+07 1.1558676381980188e+07 1.1528315690362522e+07 1.1494896578308893e+07 1.1457170603802858e+07 1.1414873034727756e+07 1.1367390121497676e+07 1.1314061374420032e+07 1.1254205658833636e+07 1.1187139771939652e+07 1.1112110907244548e+07 1.1029211853293104e+07 1.0937004839679254e+07 1.0835801239859888e+07 1.0725835179432763e+07 1.0607969201596726e+07 1.0483670861510647e+07 1.0355733483127579e+07 1.0228316265627541e+07 1.0108219034085805e+07 1.0004012161123669e+07 9.9290970834915973e+06 9.9021508955442850e+06 9.9503098080851249e+06 1.0113069807091143e+07 1.0450281920676818e+07 1.1056693561070174e+07 1.2091939526309751e+07 1.7678700002222853e+06 +1.2645015005002165e+01 4.8128255723519407e+07 4.8123369362014011e+07 4.8115042495046467e+07 4.8103792406665444e+07 4.8091785794027142e+07 4.8082635681224063e+07 4.8078053179730512e+07 4.8075228965457283e+07 4.8071118308667324e+07 4.8064827281653769e+07 4.8056372162712693e+07 4.8045460312554494e+07 4.8031617903140143e+07 4.8014341053228945e+07 4.7993085878277786e+07 4.7967197730855361e+07 4.7935890838483922e+07 4.7898245356461197e+07 4.7853185802624665e+07 4.7799448244408742e+07 4.7735556593630262e+07 4.7659760028673179e+07 4.7569672041685045e+07 4.7461194895127967e+07 4.7329737184166662e+07 4.7172994658190474e+07 4.6988564931721605e+07 4.6772591295968749e+07 4.6520342305974409e+07 4.6226468039751455e+07 4.5885037016474523e+07 4.5489554689395107e+07 4.5033014268384762e+07 4.4507995549048699e+07 4.3906830039979421e+07 4.3221839308071531e+07 4.2445675425269879e+07 4.1571766623450853e+07 4.0594883832518317e+07 3.9511805016135015e+07 3.8229239888172954e+07 3.6827587110959768e+07 3.5316533086505584e+07 3.3712120703316987e+07 3.2036864339281991e+07 3.0319091614565842e+07 2.8591394254960287e+07 2.6888246458652046e+07 2.5243100181164168e+07 2.3685281034692101e+07 2.2237497315747701e+07 2.0914761635457017e+07 1.9724249827666819e+07 1.8664970159027267e+07 1.7730251398160338e+07 1.6910112783102293e+07 1.6192566374465872e+07 1.5565490421657145e+07 1.5017305379709575e+07 1.4538106499566656e+07 1.4118874285374241e+07 1.3752503346807251e+07 1.3432441115693759e+07 1.3153933210915918e+07 1.2912301512101257e+07 1.2703646994661735e+07 1.2524940155441308e+07 1.2373014817005690e+07 1.2244819170529930e+07 1.2138112289480126e+07 1.2050132983159536e+07 1.1978840805242170e+07 1.1921906409071976e+07 1.1877307077288834e+07 1.1842314140571931e+07 1.1814278607375905e+07 1.1791203282742005e+07 1.1771204653694691e+07 1.1752451828931894e+07 1.1739220058038944e+07 1.1725871979807086e+07 1.1712257553313563e+07 1.1697999760552395e+07 1.1683291963858921e+07 1.1667713835477971e+07 1.1651775146599939e+07 1.1634074573765906e+07 1.1615131072897784e+07 1.1594596034566998e+07 1.1572197237050874e+07 1.1547603886655597e+07 1.1520443336258234e+07 1.1490183080018012e+07 1.1456874485443098e+07 1.1419273300010651e+07 1.1377115641563112e+07 1.1329789790623240e+07 1.1276637442253830e+07 1.1216979714784361e+07 1.1150135665300900e+07 1.1075354985718289e+07 1.0992730116405630e+07 1.0900828100453937e+07 1.0799959256638652e+07 1.0690356936155107e+07 1.0572880829159398e+07 1.0448993636533603e+07 1.0321479442663785e+07 1.0194483696853109e+07 1.0074783694238696e+07 9.9709215119064208e+06 9.8962542353837751e+06 9.8693971875281259e+06 9.9173968049063664e+06 1.0079618434695410e+07 1.0415715137402566e+07 1.1020120937117226e+07 1.2051942549743639e+07 1.7611835381184479e+06 +1.2649983327776424e+01 4.7992603650320388e+07 4.7987730927443311e+07 4.7979426997415803e+07 4.7968207714715905e+07 4.7956233112751655e+07 4.7947105862193629e+07 4.7942532210827522e+07 4.7939710886711814e+07 4.7935605670995042e+07 4.7929324902281553e+07 4.7920884531472161e+07 4.7909992467914231e+07 4.7896175896278925e+07 4.7878931972791605e+07 4.7857717905534096e+07 4.7831880384936124e+07 4.7800635241086304e+07 4.7763064490065411e+07 4.7718094831315942e+07 4.7664464905460306e+07 4.7600701642656833e+07 4.7525057828585900e+07 4.7435151958437353e+07 4.7326894896299817e+07 4.7195704495180659e+07 4.7039281205042444e+07 4.6855228097022444e+07 4.6639696967560768e+07 4.6387966779815413e+07 4.6094699551655397e+07 4.5753977304126874e+07 4.5359320633734792e+07 4.4903739571543932e+07 4.4379832375071533e+07 4.3779950501649447e+07 4.3096436665880322e+07 4.2321964775965795e+07 4.1449984824717440e+07 4.0475288321498081e+07 3.9394671175099812e+07 3.8115073206589602e+07 3.6716728854893900e+07 3.5209320008006424e+07 3.3608869242687754e+07 3.1937852217567787e+07 3.0224538402211901e+07 2.8501443305232290e+07 2.6802951094146367e+07 2.5162416814980842e+07 2.3609071497434553e+07 2.2165540273725517e+07 2.0846769948202796e+07 1.9659891732285850e+07 1.8603895028922882e+07 1.7672109960233588e+07 1.6854571189584114e+07 1.6139316663214913e+07 1.5514254633881394e+07 1.4967836875494385e+07 1.4490186738204684e+07 1.4072311608338213e+07 1.3707127705666678e+07 1.3388103003118539e+07 1.3110498079711206e+07 1.2869649845129726e+07 1.2661671874025835e+07 1.2483544439766148e+07 1.2332111712952105e+07 1.2204331850298477e+07 1.2097971200588111e+07 1.2010277627746962e+07 1.1939217252799587e+07 1.1882468291345619e+07 1.1838014521179976e+07 1.1803136091912635e+07 1.1775192606861819e+07 1.1752193261112636e+07 1.1732260617103346e+07 1.1713569766595708e+07 1.1700381756889608e+07 1.1687077834952476e+07 1.1673508450344073e+07 1.1659297829642348e+07 1.1644638694328152e+07 1.1629112115621068e+07 1.1613226134638362e+07 1.1595584124694791e+07 1.1576703298809228e+07 1.1556236200897833e+07 1.1533911509840034e+07 1.1509399526364701e+07 1.1482328836207932e+07 1.1452168703892065e+07 1.1418970284253979e+07 1.1381493500954919e+07 1.1339475319309918e+07 1.1292306043680780e+07 1.1239329547055595e+07 1.1179869193826370e+07 1.1113246293900277e+07 1.1038713029865846e+07 1.0956361495153958e+07 1.0864763531185566e+07 1.0764228405420557e+07 1.0654988697065381e+07 1.0537901252060944e+07 1.0414423932076352e+07 1.0287331610586969e+07 1.0160756029609546e+07 1.0041452024354726e+07 9.9379334638921432e+06 9.8635132201390285e+06 9.8367450359441377e+06 9.8845858520696443e+06 1.0046270781925734e+07 1.0381255532218246e+07 1.0983661710534208e+07 1.2012069588259693e+07 1.7545215532122680e+06 +1.2654951650550682e+01 4.7857288466326825e+07 4.7852429293581247e+07 4.7844148484491713e+07 4.7832959893817604e+07 4.7821017242568128e+07 4.7811912805084698e+07 4.7807347994950168e+07 4.7804529569924481e+07 4.7800429801691815e+07 4.7794159289785653e+07 4.7785733659733206e+07 4.7774861368868560e+07 4.7761070613188632e+07 4.7743859585119732e+07 4.7722686583982311e+07 4.7696899636391565e+07 4.7665716173037909e+07 4.7628220068525538e+07 4.7583340201271981e+07 4.7529817781993404e+07 4.7466182755235769e+07 4.7390691509670198e+07 4.7300967536560640e+07 4.7192930290143833e+07 4.7062006870388433e+07 4.6905902422435924e+07 4.6722225465269811e+07 4.6507136287780777e+07 4.6255924245901644e+07 4.5963263279141426e+07 4.5623248889115006e+07 4.5229416790459804e+07 4.4774793806089722e+07 4.4251996621244639e+07 4.3653396602397166e+07 4.2971357566332929e+07 4.2198575206008404e+07 4.1328521217716761e+07 4.0356007627380319e+07 3.9277848222607285e+07 3.8001212499100782e+07 3.6606170863740429e+07 3.5102400626145296e+07 3.3505904012140784e+07 3.1839117959832184e+07 3.0130253837233797e+07 2.8411751043470368e+07 2.6717903883035526e+07 2.5081970711878926e+07 2.3533088229089741e+07 2.2093798660297971e+07 2.0778983243859209e+07 1.9595728770121098e+07 1.8543005912964933e+07 1.7614146221382365e+07 1.6799199806370854e+07 1.6086230477593850e+07 1.5463176442667492e+07 1.4918520729470376e+07 1.4442414722784374e+07 1.4025892622652305e+07 1.3661892201915545e+07 1.3343901917185606e+07 1.3067197265652420e+07 1.2827130143150080e+07 1.2619826686413836e+07 1.2442276916529056e+07 1.2291335320900386e+07 1.2163969991728172e+07 1.2057954531284768e+07 1.1970545830574514e+07 1.1899716558504514e+07 1.1843152470197933e+07 1.1798843819404444e+07 1.1764079548280671e+07 1.1736227829150345e+07 1.1713304228308517e+07 1.1693437365521224e+07 1.1674808297364982e+07 1.1661663913190212e+07 1.1648404010619411e+07 1.1634879528199600e+07 1.1620715933239494e+07 1.1606105308375200e+07 1.1590630119415656e+07 1.1574796682958115e+07 1.1557213054262035e+07 1.1538394708969172e+07 1.1517995340742478e+07 1.1495744526307533e+07 1.1471313657379495e+07 1.1444332548756571e+07 1.1414272229774727e+07 1.1381183643454904e+07 1.1343830876461459e+07 1.1301951739025254e+07 1.1254938553068068e+07 1.1202137362789921e+07 1.1142873771617914e+07 1.1076471335362267e+07 1.1002184719466951e+07 1.0920105671715748e+07 1.0828810816689048e+07 1.0728608373948503e+07 1.0619730153065214e+07 1.0503030164605655e+07 1.0379961446038062e+07 1.0253289688465286e+07 1.0127132969135292e+07 1.0008223733150503e+07 9.9050477288084365e+06 9.8308737516280673e+06 9.8041941554523315e+06 9.8518766628284864e+06 1.0013026557348486e+07 1.0346902803972589e+07 1.0947315562700016e+07 1.1972320293413987e+07 1.7478839597075044e+06 +1.2659919973324941e+01 4.7722309928201988e+07 4.7717463952559024e+07 4.7709206307775147e+07 4.7698048288767330e+07 4.7686137529505044e+07 4.7677055856693149e+07 4.7672499879201643e+07 4.7669684362144433e+07 4.7665590047601461e+07 4.7659329790948801e+07 4.7650918894190796e+07 4.7640066362067416e+07 4.7626301400489949e+07 4.7609123236685596e+07 4.7587991259891823e+07 4.7562254831402600e+07 4.7531132980333492e+07 4.7493711437709831e+07 4.7448921258162744e+07 4.7395506219347388e+07 4.7331999276615955e+07 4.7256660416754007e+07 4.7167118120581180e+07 4.7059300420768201e+07 4.6928643653484061e+07 4.6772857653470844e+07 4.6589556378865816e+07 4.6374908598295614e+07 4.6124214044968881e+07 4.5832158562032714e+07 4.5492851110131353e+07 4.5099842497065924e+07 4.4646176308196932e+07 4.4124487622268207e+07 4.3527167675356358e+07 4.2846601341123395e+07 4.2075506045609817e+07 4.1207375131200969e+07 4.0237041077839702e+07 3.9161335485635616e+07 3.7887657092666194e+07 3.6495912465454742e+07 3.4995774271269791e+07 3.3403224346236017e+07 3.1740660907028716e+07 3.0036237269521035e+07 2.8322316831116892e+07 2.6633104200996276e+07 2.5001761264336661e+07 2.3457330640884262e+07 2.2022271906958342e+07 2.0711400974965576e+07 1.9531760414867479e+07 1.8482302305432491e+07 1.7556359695382189e+07 1.6743998165450670e+07 1.6033307366195902e+07 1.5412255411591392e+07 1.4869356518704714e+07 1.4394790042350473e+07 1.3979616927958211e+07 1.3616796444507668e+07 1.3299837475066736e+07 1.3024030393064890e+07 1.2784742036722720e+07 1.2578111067777917e+07 1.2401137226298565e+07 1.2250685285362843e+07 1.2123733242630692e+07 1.2018061932177970e+07 1.1930937244562136e+07 1.1860338377160452e+07 1.1803958601947956e+07 1.1759794629478760e+07 1.1725144168146474e+07 1.1697383933479965e+07 1.1674535844230235e+07 1.1654734559399944e+07 1.1636167082235798e+07 1.1623066188324003e+07 1.1609850168573603e+07 1.1596370449034700e+07 1.1582253733924516e+07 1.1567691469005987e+07 1.1552267510307997e+07 1.1536486455464752e+07 1.1518961026890224e+07 1.1500204968333382e+07 1.1479873119660847e+07 1.1457695952634422e+07 1.1433345946603226e+07 1.1406454141579578e+07 1.1376493326238059e+07 1.1343514232588343e+07 1.1306285097134640e+07 1.1264544572538162e+07 1.1217686991995161e+07 1.1165060564174872e+07 1.1105993124623284e+07 1.1039810468054874e+07 1.0965769735055242e+07 1.0883962328998869e+07 1.0792969642545857e+07 1.0693098850689733e+07 1.0584580995794756e+07 1.0468267261826456e+07 1.0345605877005918e+07 1.0219353378591236e+07 1.0093614221377205e+07 9.9750985300192479e+06 9.8722640190311745e+06 9.7983355444045831e+06 9.7717442613539957e+06 9.8192689511269461e+06 9.9798854702121168e+06 1.0312656652214514e+07 1.0911082175728884e+07 1.1932694317553304e+07 1.7412706720907006e+06 +1.2664888296099200e+01 4.7587667026745081e+07 4.7582834560927391e+07 4.7574599787945427e+07 4.7563472251098670e+07 4.7551593319646336e+07 4.7542534364350148e+07 4.7537987211003356e+07 4.7535174610762760e+07 4.7531085756113775e+07 4.7524835753096744e+07 4.7516439582128093e+07 4.7505606794627942e+07 4.7491867605128348e+07 4.7474722274360329e+07 4.7453631280127957e+07 4.7427945316654861e+07 4.7396885009536378e+07 4.7359537943978347e+07 4.7314837348180622e+07 4.7261529563521005e+07 4.7198150552429900e+07 4.7122963895234451e+07 4.7033603055569246e+07 4.6926004632794738e+07 4.6795614188550904e+07 4.6640146241706669e+07 4.6457220180736646e+07 4.6243013241249993e+07 4.5992835518385060e+07 4.5701384740662172e+07 4.5362783306450494e+07 4.4970597091619663e+07 4.4517886414591111e+07 4.3997304713507555e+07 4.3401263054449365e+07 4.2722167322578266e+07 4.1952756625626989e+07 4.1086545894747458e+07 4.0118388001294799e+07 3.9045132291952565e+07 3.7774406315013856e+07 3.6385952988853686e+07 3.4889440274703629e+07 3.3300829580492962e+07 3.1642480401172683e+07 2.9942488049994390e+07 2.8233140030688364e+07 2.6548551424846847e+07 2.4921787865931194e+07 2.3381798145231839e+07 2.1950959446392234e+07 2.0644022595243327e+07 1.9467986141331512e+07 1.8421783701674920e+07 1.7498749897104796e+07 1.6688965799818262e+07 1.5980546878614724e+07 1.5361491105265396e+07 1.4820343821237609e+07 1.4347312286871571e+07 1.3933484124812499e+07 1.3571840043327605e+07 1.3255909294831792e+07 1.2980997087158669e+07 1.2742485157292722e+07 1.2536524654934887e+07 1.2360125010500686e+07 1.2210161251677940e+07 1.2083621251683006e+07 1.1978293054711031e+07 1.1891451523440668e+07 1.1821082364377296e+07 1.1764886343722209e+07 1.1720866609718721e+07 1.1686329610786013e+07 1.1658660579912400e+07 1.1635887769580970e+07 1.1616151860016579e+07 1.1597645783015292e+07 1.1584588244466769e+07 1.1571415971378291e+07 1.1557980875813384e+07 1.1543910895058533e+07 1.1529396839994391e+07 1.1514023952533338e+07 1.1498295116862673e+07 1.1480827707777610e+07 1.1462133742654469e+07 1.1441869204002501e+07 1.1419765455826720e+07 1.1395496061730880e+07 1.1368693283169262e+07 1.1338831662616797e+07 1.1305961721972506e+07 1.1268855834375933e+07 1.1227253492446939e+07 1.1180551034418292e+07 1.1128098826705309e+07 1.1069226930051709e+07 1.1003263371117339e+07 1.0929467757915009e+07 1.0847931150663093e+07 1.0757239695053050e+07 1.0657699524860710e+07 1.0549540917606611e+07 1.0433612239452690e+07 1.0311356924298758e+07 1.0185522383934621e+07 1.0060199492972368e+07 9.9420761250332501e+06 9.8395820476238653e+06 9.7658983136731088e+06 9.7393950696503092e+06 9.7867624315674398e+06 9.9468472304572426e+06 1.0278516777225664e+07 1.0874961232513493e+07 1.1893191313873963e+07 1.7346816051303477e+06 +1.2669856618873458e+01 4.7453359214602448e+07 4.7448540337258555e+07 4.7440328236577339e+07 4.7429231138104148e+07 4.7417383959647529e+07 4.7408347675832376e+07 4.7403809338353284e+07 4.7400999663711801e+07 4.7396916275087729e+07 4.7390676524007201e+07 4.7382295071184412e+07 4.7371482014154829e+07 4.7357768574687190e+07 4.7340656045622647e+07 4.7319605991954207e+07 4.7293970439258307e+07 4.7262971607662410e+07 4.7225698934144810e+07 4.7181087817918487e+07 4.7127887160932437e+07 4.7064635928843409e+07 4.6989601290994287e+07 4.6900421687007874e+07 4.6793042271406502e+07 4.6662917820289716e+07 4.6507767531283587e+07 4.6325216214373790e+07 4.6111449559376277e+07 4.5861788008009873e+07 4.5570941155960441e+07 4.5233044817966305e+07 4.4841679912774548e+07 4.4389923462652296e+07 4.3870447230909631e+07 4.3275682074171178e+07 4.2598054843693577e+07 4.1830326277655870e+07 4.0966032838584132e+07 4.0000047726959281e+07 3.8929237970166035e+07 3.7661459494771071e+07 3.6276291763640016e+07 3.4783397968625069e+07 3.3198719051481057e+07 3.1544575785306226e+07 2.9849005530666750e+07 2.8144220005886525e+07 2.6464244932558507e+07 2.4842049911414698e+07 2.3306490155708097e+07 2.1879860712419476e+07 2.0576847559569500e+07 1.9404405425443791e+07 1.8361449598155737e+07 1.7441316342483554e+07 1.6634102243504068e+07 1.5927948565457892e+07 1.5310883089279192e+07 1.4771482216053393e+07 1.4299981047301106e+07 1.3887493814711103e+07 1.3527022609182173e+07 1.3212116995445784e+07 1.2938096974047715e+07 1.2700359137145206e+07 1.2495067085534593e+07 1.2319239911392337e+07 1.2169762866035987e+07 1.2043633668374153e+07 1.1938647551143100e+07 1.1852088321768751e+07 1.1781948176577620e+07 1.1725935353442628e+07 1.1682059419263458e+07 1.1647635536261765e+07 1.1620057429289866e+07 1.1597359665856101e+07 1.1577688929417411e+07 1.1559244062299704e+07 1.1546229744599188e+07 1.1533101082399765e+07 1.1519710472282752e+07 1.1505687080812739e+07 1.1491221085945755e+07 1.1475899111129148e+07 1.1460222332630511e+07 1.1442812762932889e+07 1.1424180698483417e+07 1.1403983260880500e+07 1.1381952703648269e+07 1.1357763671247484e+07 1.1331049642777504e+07 1.1301286909049578e+07 1.1268525782669904e+07 1.1231542760343485e+07 1.1190078172122765e+07 1.1143530355063938e+07 1.1091251826644907e+07 1.1032574865868773e+07 1.0966829724436248e+07 1.0893278470084962e+07 1.0812011821112471e+07 1.0721620661262484e+07 1.0622410086399373e+07 1.0514609611607993e+07 1.0399064793956837e+07 1.0277214287924301e+07 1.0151796408170400e+07 1.0026888491239062e+07 9.9091562289538532e+06 9.8070015283446535e+06 9.7335617753294725e+06 9.7071462969975658e+06 9.7543568194287643e+06 9.9139115487200506e+06 1.0244482879968390e+07 1.0838952416658973e+07 1.1853810936361210e+07 1.7281166738760334e+06 +1.2674824941647717e+01 4.7319385964803942e+07 4.7314580448929332e+07 4.7306390996477284e+07 4.7295324308069237e+07 4.7283508797082506e+07 4.7274495139593266e+07 4.7269965609646909e+07 4.7267158869392395e+07 4.7263080952842258e+07 4.7256851451943889e+07 4.7248484709576704e+07 4.7237691368771195e+07 4.7224003657161802e+07 4.7206923898325041e+07 4.7185914743178956e+07 4.7160329546928234e+07 4.7129392122192964e+07 4.7092193755585968e+07 4.7047672014568523e+07 4.6994578358546548e+07 4.6931454752570443e+07 4.6856571950420499e+07 4.6767573361016952e+07 4.6660412682213947e+07 4.6530553893867254e+07 4.6375720866782762e+07 4.6193543823729575e+07 4.5980216895939082e+07 4.5731070856249511e+07 4.5440827149365522e+07 4.5103634984998867e+07 4.4713090299756311e+07 4.4262286790322036e+07 4.3743914511091955e+07 4.3150424069678694e+07 4.2474263238218695e+07 4.1708214333953090e+07 4.0845835293679669e+07 3.9882019584794469e+07 3.8813651849577777e+07 3.7548815961396493e+07 3.6166928120412730e+07 3.4677646686240546e+07 3.3096892096712887e+07 3.1446946403456230e+07 2.9755789064590491e+07 2.8055556121394131e+07 2.6380184103246000e+07 2.4762546796670567e+07 2.3231406086989246e+07 2.1808975140033234e+07 2.0509875323925398e+07 1.9341017744298760e+07 1.8301299492410265e+07 1.7384058548536144e+07 1.6579407031611484e+07 1.5875511978362195e+07 1.5260430930205770e+07 1.4722771283137813e+07 1.4252795915478200e+07 1.3841645600051761e+07 1.3482343753753111e+07 1.3168460196740638e+07 1.2895329680678066e+07 1.2658363609428257e+07 1.2453737998096086e+07 1.2278481572068362e+07 1.2129489775427988e+07 1.2003770143019529e+07 1.1899125074548408e+07 1.1812847294904407e+07 1.1742935470989823e+07 1.1687105289857920e+07 1.1643372718025796e+07 1.1609061605465209e+07 1.1581574143255215e+07 1.1558951195348183e+07 1.1539345430486031e+07 1.1520961583484242e+07 1.1507990352498457e+07 1.1494905165787976e+07 1.1481558902995219e+07 1.1467581956128117e+07 1.1453163872211138e+07 1.1437892651918612e+07 1.1422267769049648e+07 1.1404915859123809e+07 1.1386345503130000e+07 1.1366214958227092e+07 1.1344257364653505e+07 1.1320148444411376e+07 1.1293522890443411e+07 1.1263858736437019e+07 1.1231206086544691e+07 1.1194345547973765e+07 1.1153018285710979e+07 1.1106624629446253e+07 1.1054519241004391e+07 1.0996036610804077e+07 1.0930509208651951e+07 1.0857201554343313e+07 1.0776204025511142e+07 1.0686112228949394e+07 1.0587230225980321e+07 1.0479786771591799e+07 1.0364624622514347e+07 1.0243177668620696e+07 1.0118175155681310e+07 9.9936809241984319e+06 9.8763385532260556e+06 9.7745221755970176e+06 9.7013256459182277e+06 9.6749976607218925e+06 9.7220518306608405e+06 9.8810781362886056e+06 1.0210554662124444e+07 1.0803055412552508e+07 1.1814552839842388e+07 1.7215757936576018e+06 +1.2679793264421976e+01 4.7185746294564731e+07 4.7180954245444231e+07 4.7172787435245059e+07 4.7161751114706047e+07 4.7149967180738136e+07 4.7140976104538709e+07 4.7136455373886809e+07 4.7133651576717943e+07 4.7129579138258591e+07 4.7123359885668345e+07 4.7115007846014924e+07 4.7104234207062028e+07 4.7090572201037273e+07 4.7073525180871241e+07 4.7052556882063992e+07 4.7027021987788528e+07 4.6996145901190385e+07 4.6959021756137267e+07 4.6914589285830848e+07 4.6861602503764644e+07 4.6798606370769762e+07 4.6723875220420204e+07 4.6635057424106210e+07 4.6528115211407386e+07 4.6398521755062401e+07 4.6244005593434706e+07 4.6062202353336148e+07 4.5849314594727866e+07 4.5600683406112596e+07 4.5311042062954232e+07 4.4974553148622207e+07 4.4584827592448071e+07 4.4134975736236840e+07 4.3617705891244009e+07 4.3025488376777016e+07 4.2350791840444811e+07 4.1586420127467871e+07 4.0725952591777980e+07 3.9764302905519806e+07 3.8698373260409117e+07 3.7436475045215413e+07 3.6057861390695192e+07 3.4572185761599422e+07 3.2995348054697748e+07 3.1349591600722726e+07 2.9662838005908586e+07 2.7967147743125141e+07 2.6296368317134757e+07 2.4683277918738093e+07 2.3156545354978908e+07 2.1738302165377475e+07 2.0443105345492799e+07 1.9277822576062687e+07 1.8241332883121643e+07 1.7326976033331934e+07 1.6524879700270921e+07 1.5823236669988418e+07 1.5210134195615023e+07 1.4674210603404837e+07 1.4205756484233284e+07 1.3795939084166970e+07 1.3437803089629853e+07 1.3124938519465728e+07 1.2852694834888943e+07 1.2616498208168726e+07 1.2412537031973308e+07 1.2237849636467943e+07 1.2089341627709854e+07 1.1964030326751830e+07 1.1859725278821463e+07 1.1773728099032400e+07 1.1704043905652666e+07 1.1648395812501363e+07 1.1604806166734625e+07 1.1570607480054438e+07 1.1543210384264313e+07 1.1520662021146875e+07 1.1501121026871763e+07 1.1482798010762127e+07 1.1469869732718086e+07 1.1456827886486890e+07 1.1443525833274780e+07 1.1429595186746582e+07 1.1415224864975670e+07 1.1400004241502296e+07 1.1384431093181485e+07 1.1367136663933776e+07 1.1348627824719865e+07 1.1328563964727450e+07 1.1306679108180296e+07 1.1282650051258447e+07 1.1256112696979582e+07 1.1226546816468554e+07 1.1194002306234358e+07 1.1157263870973529e+07 1.1116073508123456e+07 1.1069833533814039e+07 1.1017900747574583e+07 1.0959611844348675e+07 1.0894301505172256e+07 1.0821236694238104e+07 1.0740507449751606e+07 1.0650714086640917e+07 1.0552159635015523e+07 1.0445072092107356e+07 1.0330291423015306e+07 1.0209246767811289e+07 1.0084658331551803e+07 9.9605765005592071e+06 9.8436228099829461e+06 9.7421437044808306e+06 9.6691896426804196e+06 9.6429488788120896e+06 9.6898471818910316e+06 9.8483467051594220e+06 1.0176731826082347e+07 1.0767269905290684e+07 1.1775416679930301e+07 1.7150588800843125e+06 +1.2684761587196235e+01 4.7052439857829846e+07 4.7047661050489277e+07 4.7039516910932936e+07 4.7028510903859660e+07 4.7016758460565373e+07 4.7007789920161448e+07 4.7003277980522864e+07 4.7000477135129847e+07 4.6996410180651061e+07 4.6990201174523763e+07 4.6981863829675771e+07 4.6971109878165312e+07 4.6957473555346698e+07 4.6940459242178187e+07 4.6919531757405639e+07 4.6894047110546991e+07 4.6863232293105386e+07 4.6826182284170158e+07 4.6781838979808688e+07 4.6728958944570802e+07 4.6666090131193347e+07 4.6591510448389843e+07 4.6502873223378420e+07 4.6396149205713309e+07 4.6266820750049539e+07 4.6112621056876950e+07 4.5931191148247607e+07 4.5718742000092901e+07 4.5470625001089558e+07 4.5181585239307277e+07 4.4845798650377072e+07 4.4456891131235756e+07 4.4007989639515884e+07 4.3491820709237240e+07 4.2900874331897087e+07 4.2227639985463232e+07 4.1464942991884679e+07 4.0606384065313429e+07 3.9646897020657375e+07 3.8583401533620432e+07 3.7324436077321611e+07 3.5949090906824149e+07 3.4467014529762626e+07 3.2894086264924619e+07 3.1252510723239023e+07 2.9570151709878631e+07 2.7878994238034032e+07 2.6212796955582146e+07 2.4604242675827045e+07 2.3081907376720332e+07 2.1667841225743305e+07 2.0376537082540568e+07 1.9214819400043100e+07 1.8181549270027023e+07 1.7270068316023886e+07 1.6470519786658866e+07 1.5771122193984857e+07 1.5159992454061920e+07 1.4625799758761179e+07 1.4158862347317921e+07 1.3750373871311475e+07 1.3393400230312405e+07 1.3081551585216360e+07 1.2810192065384623e+07 1.2574762568225788e+07 1.2371463827357763e+07 1.2197343749369761e+07 1.2049318071537830e+07 1.1924413871538319e+07 1.1820447818673685e+07 1.1734730391129507e+07 1.1665273139424529e+07 1.1609806581724118e+07 1.1566359426938128e+07 1.1532272822534563e+07 1.1504965815561676e+07 1.1482491807148607e+07 1.1463015383013956e+07 1.1444753009103717e+07 1.1431867550636131e+07 1.1418868910244457e+07 1.1405610929256598e+07 1.1391726439225432e+07 1.1377403731179135e+07 1.1362233547279349e+07 1.1346711972880611e+07 1.1329474845712371e+07 1.1311027332141979e+07 1.1291029949877240e+07 1.1269217604355011e+07 1.1245268162613427e+07 1.1218818733990103e+07 1.1189350821598643e+07 1.1156914115156699e+07 1.1120297403821675e+07 1.1079243515048608e+07 1.1033156745208882e+07 1.0981396024898486e+07 1.0923300246747196e+07 1.0858206296141572e+07 1.0785383574043781e+07 1.0704921780470969e+07 1.0615425923600825e+07 1.0517198005624609e+07 1.0410465268409373e+07 1.0296064894071281e+07 1.0175421287640588e+07 1.0051245641546944e+07 9.9275749297022969e+06 9.8110087120197583e+06 9.7098658307705093e+06 9.6371534834946264e+06 9.6109996699387915e+06 9.6577425904095992e+06 9.8157169680026099e+06 1.0143014074924665e+07 1.0731595580742551e+07 1.1736402113082560e+07 1.7085658490440049e+06 +1.2689729909970493e+01 4.6919465727508351e+07 4.6914700345258974e+07 4.6906578786236979e+07 4.6895603015322879e+07 4.6883881987492308e+07 4.6874935936626896e+07 4.6870432779493362e+07 4.6867634894499660e+07 4.6863573429862149e+07 4.6857374668199047e+07 4.6849052010214649e+07 4.6838317731623136e+07 4.6824707069581106e+07 4.6807725431664973e+07 4.6786838718504965e+07 4.6761404264325023e+07 4.6730650647015475e+07 4.6693674688514628e+07 4.6649420445156403e+07 4.6596647029401608e+07 4.6533905382034928e+07 4.6459476982298955e+07 4.6371020106440924e+07 4.6264514012350500e+07 4.6135450225616001e+07 4.5981566603382044e+07 4.5800509554123707e+07 4.5588498456917852e+07 4.5340894985256679e+07 4.5052456021652132e+07 4.4717370832398586e+07 4.4329280257140584e+07 4.3881327839957513e+07 4.3366258303554676e+07 4.2776581272149660e+07 4.2104807008964747e+07 4.1343782261607744e+07 4.0487129047477514e+07 3.9529801262408055e+07 3.8468736001010485e+07 3.7212698389783621e+07 3.5840616002126142e+07 3.4362132326710358e+07 3.2793106067890689e+07 3.1155703118163627e+07 2.9477729532782495e+07 2.7791094974203669e+07 2.6129469401081856e+07 2.4525440467272859e+07 2.3007491570373435e+07 2.1597591759570178e+07 2.0310169994504973e+07 1.9152007696681753e+07 1.8121948153988950e+07 1.7213334916849174e+07 1.6416326829019025e+07 1.5719168105042897e+07 1.5110005275097093e+07 1.4577538332050247e+07 1.4112113099414736e+07 1.3704949566641178e+07 1.3349134790194392e+07 1.3038299016503310e+07 1.2767821001736537e+07 1.2533156325325638e+07 1.2330518025304593e+07 1.2156963556375684e+07 1.2009418756408310e+07 1.1884920430159131e+07 1.1781292349618973e+07 1.1695853829009261e+07 1.1626622831949748e+07 1.1571337258666044e+07 1.1528032160963761e+07 1.1494057296163319e+07 1.1466840101189902e+07 1.1444440218027268e+07 1.1425028164169980e+07 1.1406826244299076e+07 1.1393983472394560e+07 1.1381027903586127e+07 1.1367813857862430e+07 1.1353975380861010e+07 1.1339700138573168e+07 1.1324580237444440e+07 1.1309110076784084e+07 1.1291930073602254e+07 1.1273543695077118e+07 1.1253612583923729e+07 1.1231872524076914e+07 1.1208002450075144e+07 1.1181640673851674e+07 1.1152270425053302e+07 1.1119941187471118e+07 1.1083445821763735e+07 1.1042527982924683e+07 1.0996593941418683e+07 1.0945004752287135e+07 1.0887101499004561e+07 1.0822223264469260e+07 1.0749641878803536e+07 1.0669446705044238e+07 1.0580247429810643e+07 1.0482345030682717e+07 1.0375965996474935e+07 1.0261944735000079e+07 1.0141700930945372e+07 1.0017936792134253e+07 9.8946759217201397e+06 9.7784959728158955e+06 9.6776882708894275e+06 9.6052168869394567e+06 9.5791497534163613e+06 9.6257377741791550e+06 9.7831886381579638e+06 1.0109401112444462e+07 1.0696032125497188e+07 1.1697508796546929e+07 1.7020966167022591e+06 +1.2694698232744752e+01 4.6786823698232964e+07 4.6782071468959406e+07 4.6773972446254075e+07 4.6763026788677752e+07 4.6751337113023914e+07 4.6742413504563101e+07 4.6737919121338591e+07 4.6735124205275320e+07 4.6731068236291081e+07 4.6724879717024259e+07 4.6716571737880476e+07 4.6705857117614940e+07 4.6692272093807913e+07 4.6675323099202007e+07 4.6654477115161024e+07 4.6629092798831560e+07 4.6598400312451333e+07 4.6561498318577349e+07 4.6517333031146042e+07 4.6464666107233346e+07 4.6402051472008571e+07 4.6327774170585938e+07 4.6239497421464264e+07 4.6133208979042217e+07 4.6004409529058911e+07 4.5850841579706907e+07 4.5670156917061053e+07 4.5458583310646713e+07 4.5211492703302756e+07 4.4923653753648780e+07 4.4589269037469484e+07 4.4201994311818682e+07 4.3754989678011693e+07 4.3241018013319075e+07 4.2652608535304114e+07 4.1982292247350417e+07 4.1222937271655262e+07 4.0368186872208789e+07 3.9413014963903755e+07 3.8354375995187134e+07 3.7101261315434165e+07 3.5732436010766901e+07 3.4257538489402637e+07 3.2692406805068158e+07 3.1059168133680850e+07 2.9385570832001884e+07 2.7703449320822407e+07 2.6046385037299357e+07 2.4446870693581276e+07 2.2933297355320264e+07 2.1527553206474062e+07 2.0244003541952986e+07 1.9089386947542418e+07 1.8062529036954124e+07 1.7156775357085295e+07 1.6362300366587637e+07 1.5667373958852541e+07 1.5060172229250439e+07 1.4529425907098973e+07 1.4065508336162956e+07 1.3659665776249604e+07 1.3305006384563025e+07 1.2995180436707120e+07 1.2725581274394875e+07 1.2491679116051383e+07 1.2289699267714083e+07 1.2116708703943357e+07 1.1969643332644073e+07 1.1845549656211426e+07 1.1742258528011829e+07 1.1657098071272770e+07 1.1588092643696632e+07 1.1532987505294429e+07 1.1489824031942388e+07 1.1455960565011838e+07 1.1428832905995909e+07 1.1406506919269195e+07 1.1387159036365578e+07 1.1369017382910440e+07 1.1356217164930968e+07 1.1343304533841366e+07 1.1330134286798777e+07 1.1316341679784263e+07 1.1302113755680120e+07 1.1287043980964441e+07 1.1271625074319663e+07 1.1254502017528001e+07 1.1236176583990004e+07 1.1216311537924059e+07 1.1194643539027544e+07 1.1170852586026212e+07 1.1144578189701373e+07 1.1115305300860219e+07 1.1083083198135104e+07 1.1046708800826725e+07 1.1005926588969663e+07 1.0960144801002098e+07 1.0908726609800439e+07 1.0851015282877542e+07 1.0786352093805216e+07 1.0714011294282315e+07 1.0634081911593117e+07 1.0545178296007888e+07 1.0447600403769672e+07 1.0341573973010210e+07 1.0227930645830564e+07 1.0108085401276423e+07 9.9847314904896822e+06 9.8618791873771399e+06 9.7460843065515868e+06 9.6456107419510596e+06 9.5733795722293779e+06 9.5473988492466994e+06 9.5938324518223125e+06 9.7507614296563752e+06 1.0075892643132074e+07 1.0660579226918127e+07 1.1658736388394926e+07 1.6956510995015616e+06 +1.2699666555519011e+01 4.6654512834999524e+07 4.6649773703824535e+07 4.6641697260197207e+07 4.6630781569143020e+07 4.6619123189055592e+07 4.6610221975230552e+07 4.6605736356990315e+07 4.6602944418405034e+07 4.6598893950714774e+07 4.6592715671775132e+07 4.6584422363350578e+07 4.6573727386727922e+07 4.6560167978463382e+07 4.6543251595296405e+07 4.6522446297713198e+07 4.6497112064219415e+07 4.6466480639451079e+07 4.6429652524233878e+07 4.6385576087432541e+07 4.6333015527624786e+07 4.6270527750374451e+07 4.6196401362245053e+07 4.6108304517028183e+07 4.6002233454125479e+07 4.5873698008252576e+07 4.5720445333174571e+07 4.5540132583796568e+07 4.5328995907314166e+07 4.5082417500422299e+07 4.4795177779680893e+07 4.4461492608871482e+07 4.4075032637506947e+07 4.3628974494693190e+07 4.3116099178261258e+07 4.2528955459763356e+07 4.1860095037726417e+07 4.1102407357885182e+07 4.0249556874114119e+07 3.9296537458894543e+07 3.8240320849538162e+07 3.6990124187992238e+07 3.5624550267830826e+07 3.4153232355683051e+07 3.2591987818934098e+07 3.0962905119028524e+07 2.9293674965968642e+07 2.7616056648206461e+07 2.5963543248984031e+07 2.4368532756396223e+07 2.2859324152039114e+07 2.1457725007209428e+07 2.0178037186599225e+07 1.9026956635286201e+07 1.8003291421975035e+07 1.7100389159103710e+07 1.6308439939671433e+07 1.5615739312112005e+07 1.5010492888022577e+07 1.4481462068681741e+07 1.4019047654116113e+07 1.3614522107138915e+07 1.3261014629618635e+07 1.2952195470082305e+07 1.2683472514659259e+07 1.2450330577840088e+07 1.2249007197305456e+07 1.2076578839341242e+07 1.1929991451399816e+07 1.1806301204120159e+07 1.1703346010991301e+07 1.1618462777333837e+07 1.1549682235916311e+07 1.1494756984349344e+07 1.1451734703800295e+07 1.1417982293959050e+07 1.1390943895603226e+07 1.1368691577142576e+07 1.1349407666447328e+07 1.1331326092296237e+07 1.1318568295983344e+07 1.1305698469110403e+07 1.1292571884546969e+07 1.1278825004882326e+07 1.1264644251813121e+07 1.1249624447588770e+07 1.1234256635681594e+07 1.1217190348193757e+07 1.1198925670121729e+07 1.1179126483695481e+07 1.1157530321659630e+07 1.1133818243615976e+07 1.1107630955461394e+07 1.1078455123778855e+07 1.1046339822878730e+07 1.1010086017793588e+07 1.0969439011169501e+07 1.0923809003275961e+07 1.0872561278261082e+07 1.0815041280880664e+07 1.0750592468549445e+07 1.0678491507001827e+07 1.0598827088981183e+07 1.0510218213652415e+07 1.0412963819205694e+07 1.0307288895426536e+07 1.0194022327306669e+07 1.0074574402881941e+07 9.9516294444549289e+06 9.8291844381288439e+06 9.7137734280554671e+06 9.6136329617349077e+06 9.5416412592702396e+06 9.5157466780807897e+06 9.5620263426514901e+06 9.7184350572055038e+06 1.0042488372176927e+07 1.0625236573068818e+07 1.1620084547507385e+07 1.6892292141604780e+06 +1.2704634878293270e+01 4.6522532234128356e+07 4.6517806423647247e+07 4.6509752549607545e+07 4.6498866710452348e+07 4.6487239567557819e+07 4.6478360700281225e+07 4.6473883838026084e+07 4.6471094885342121e+07 4.6467049924565211e+07 4.6460881883731276e+07 4.6452603237830974e+07 4.6441927890101843e+07 4.6428394074688300e+07 4.6411510270819463e+07 4.6390745616971649e+07 4.6365461411224701e+07 4.6334890978552848e+07 4.6298136655886300e+07 4.6254148964266114e+07 4.6201694640529640e+07 4.6139333566968285e+07 4.6065357906738445e+07 4.5977440742416292e+07 4.5871586786387756e+07 4.5743315011558063e+07 4.5590377211605668e+07 4.5410435901577294e+07 4.5199735593434982e+07 4.4953668722403407e+07 4.4667027444646403e+07 4.4334040890547201e+07 4.3948394576999016e+07 4.3503281631659426e+07 4.2991501138766609e+07 4.2405621384654798e+07 4.1738214717813119e+07 4.0982191856807150e+07 4.0131238388648510e+07 3.9180368082005300e+07 3.8126569898335055e+07 3.6879286342048146e+07 3.5516958109283410e+07 3.4049213264394738e+07 3.2491848452947877e+07 3.0866913424461223e+07 2.9202041294224270e+07 2.7528916327752400e+07 2.5880943422060691e+07 2.4290426058513626e+07 2.2785571382198069e+07 2.1388106603681322e+07 2.0112270391275510e+07 1.8964716243701719e+07 1.7944234813173633e+07 1.7044175846322950e+07 1.6254745089622248e+07 1.5564263722531609e+07 1.4960966823935160e+07 1.4433646402538506e+07 1.3972730650782224e+07 1.3569518167227274e+07 1.3217159142447373e+07 1.2909343741775837e+07 1.2641494354704255e+07 1.2409110348971225e+07 1.2208441457657853e+07 1.2036573610680321e+07 1.1890462764634475e+07 1.1767174729111228e+07 1.1664554456529003e+07 1.1579947607424792e+07 1.1511391270686325e+07 1.1456645359384723e+07 1.1413763841282871e+07 1.1380122148662454e+07 1.1353172736439900e+07 1.1330993858708441e+07 1.1311773722019784e+07 1.1293752040597228e+07 1.1281036534067953e+07 1.1268209378288470e+07 1.1255126320397785e+07 1.1241425025833767e+07 1.1227291297075300e+07 1.1212321307863612e+07 1.1197004431859540e+07 1.1179994737091197e+07 1.1161790625493415e+07 1.1142057093846636e+07 1.1120532545205308e+07 1.1096899096780645e+07 1.1070798645841230e+07 1.1041719569374746e+07 1.1009710738189954e+07 1.0973577150219254e+07 1.0933064928257938e+07 1.0887586228331953e+07 1.0836508439255746e+07 1.0779179176274160e+07 1.0714944073869757e+07 1.0643082204229036e+07 1.0563681926806509e+07 1.0475366874926884e+07 1.0378434972034108e+07 1.0273110461859530e+07 1.0160219480886161e+07 1.0041167640712706e+07 9.9186303626006618e+06 9.7965913861132860e+06 9.6815630528482422e+06 9.5817546487069856e+06 9.5100016686124876e+06 9.4841929612296615e+06 9.5303191666145176e+06 9.6862092361774426e+06 1.0009188005470453e+07 1.0590003852785256e+07 1.1581552933563188e+07 1.6828308776728197e+06 +1.2709603201067528e+01 4.6390881648421921e+07 4.6386169152803421e+07 4.6378137604450136e+07 4.6367281573682085e+07 4.6355685600729249e+07 4.6346829032080948e+07 4.6342360916437991e+07 4.6339574958057515e+07 4.6335535509661049e+07 4.6329377704755120e+07 4.6321113713131577e+07 4.6310457979421325e+07 4.6296949733991630e+07 4.6280098477293961e+07 4.6259374424270570e+07 4.6234140191100188e+07 4.6203630680909283e+07 4.6166950064477332e+07 4.6123051012387767e+07 4.6070702796516165e+07 4.6008468272072405e+07 4.5934643154182397e+07 4.5846905447284497e+07 4.5741268325179219e+07 4.5613259887897812e+07 4.5460636563476413e+07 4.5281066218239024e+07 4.5070801716241390e+07 4.4825245715598866e+07 4.4539202093987904e+07 4.4206913227027625e+07 4.3822079473780930e+07 4.3377910431198195e+07 4.2867223235925183e+07 4.2282605649701774e+07 4.1616650626126230e+07 4.0862290105635807e+07 4.0013230752017632e+07 3.9064506168610275e+07 3.8013122476582795e+07 3.6768747113000222e+07 3.5409658872091174e+07 3.3945480555293448e+07 3.2391988051589012e+07 3.0771192401316825e+07 2.9110669177372575e+07 2.7442027731974423e+07 2.5798584943559542e+07 2.4212550003884699e+07 2.2712038468617395e+07 2.1318697438921351e+07 2.0046702619998835e+07 1.8902665257689897e+07 1.7885358715781238e+07 1.6988134943237931e+07 1.6201215358803365e+07 1.5512946748838698e+07 1.4911593610448888e+07 1.4385978495357275e+07 1.3926556924588608e+07 1.3524653565328572e+07 1.3173439541021340e+07 1.2866624877823122e+07 1.2599646427571747e+07 1.2368018068593027e+07 1.2168001693199320e+07 1.1996692666903241e+07 1.1851056925148094e+07 1.1728169887247596e+07 1.1625883523380185e+07 1.1541552222564567e+07 1.1473219410866469e+07 1.1418652294761997e+07 1.1375911109899046e+07 1.1342379795578351e+07 1.1315519095731527e+07 1.1293413431823827e+07 1.1274256871494694e+07 1.1256294896753443e+07 1.1243621548495781e+07 1.1230836931059631e+07 1.1217797264416715e+07 1.1204141413120780e+07 1.1190054562347809e+07 1.1175134233104099e+07 1.1159868134635255e+07 1.1142914856494484e+07 1.1124771122914508e+07 1.1105103041752843e+07 1.1083649883693492e+07 1.1060094820220863e+07 1.1034080936302558e+07 1.1005098313965430e+07 1.0973195621327167e+07 1.0937181876417058e+07 1.0896804019746283e+07 1.0851476156993764e+07 1.0800567775120802e+07 1.0743428653080642e+07 1.0679406595661640e+07 1.0607783073976066e+07 1.0528646115394393e+07 1.0440623972764758e+07 1.0344013558010444e+07 1.0239038371162390e+07 1.0126521808729481e+07 1.0007864820428483e+07 9.8857339541514665e+06 9.7640997441528365e+06 9.6494528971212246e+06 9.5499755219685268e+06 9.4784605214784704e+06 9.4527374206778128e+06 9.4987106443369184e+06 9.6540836826461069e+06 9.9759912495974302e+06 1.0554880755634403e+07 1.1543141207076704e+07 1.6764560073068142e+06 +1.2714571523841787e+01 4.6259560317576088e+07 4.6254860993469827e+07 4.6246851742445230e+07 4.6236025523217961e+07 4.6224460641096920e+07 4.6215626323345654e+07 4.6211166944817476e+07 4.6208383989024751e+07 4.6204350058475763e+07 4.6198202487138540e+07 4.6189953141389184e+07 4.6179317006815426e+07 4.6165834308463164e+07 4.6149015566637307e+07 4.6128332071505591e+07 4.6103147755580314e+07 4.6072699098079383e+07 4.6036092101476006e+07 4.5992281583084777e+07 4.5940039346686274e+07 4.5877931216521606e+07 4.5804256455100574e+07 4.5716697981931940e+07 4.5611277420418032e+07 4.5483531986766957e+07 4.5331222737666011e+07 4.5152022882132635e+07 4.4942193623315871e+07 4.4697147826954216e+07 4.4411701073852837e+07 4.4080108963422962e+07 4.3696086671884149e+07 4.3252860236197330e+07 4.2743264811388850e+07 4.2159907595320389e+07 4.1495402101773866e+07 4.0742701442310452e+07 3.9895533301053725e+07 3.8948951054846443e+07 3.7899977920183584e+07 3.6658505837147996e+07 3.5302651893981151e+07 3.3842033569135420e+07 3.2292405960293457e+07 3.0675741401912309e+07 2.9019557977089744e+07 2.7355390234517008e+07 2.5716467201658968e+07 2.4134903997632414e+07 2.2638724835261479e+07 2.1249496957160454e+07 1.9981333337857895e+07 1.8840803163305160e+07 1.7826662636132739e+07 1.6932265975400284e+07 1.6147850290633596e+07 1.5461787950770233e+07 1.4862372822031513e+07 1.4338457934778463e+07 1.3880526074916728e+07 1.3479927911198784e+07 1.3129855444227006e+07 1.2824038505101683e+07 1.2557928367164418e+07 1.2327053376689674e+07 1.2127687549172945e+07 1.1956935657781236e+07 1.1811773586551530e+07 1.1689286335395783e+07 1.1587332871156104e+07 1.1503276284593740e+07 1.1435166320132151e+07 1.1380777455603732e+07 1.1338176175973004e+07 1.1304754901958486e+07 1.1277982641470632e+07 1.1255949965125155e+07 1.1236856784073690e+07 1.1218954330487045e+07 1.1206323009347521e+07 1.1193580797894973e+07 1.1180584387453454e+07 1.1166973837986279e+07 1.1152933719290731e+07 1.1138062895421501e+07 1.1122847416545974e+07 1.1105950379432550e+07 1.1087866835956523e+07 1.1068264001569171e+07 1.1046882011893144e+07 1.1023405089410836e+07 1.0997477503088450e+07 1.0968591034636458e+07 1.0936794150310274e+07 1.0900899875474392e+07 1.0860655965902582e+07 1.0815478470872398e+07 1.0764738968944438e+07 1.0707789396065934e+07 1.0643979720558578e+07 1.0572593804989072e+07 1.0493719345827926e+07 1.0405989200814338e+07 1.0309699273625236e+07 1.0205072322901750e+07 1.0092929013697743e+07 9.9746656483689565e+06 9.8529399290553238e+06 9.7317092257480212e+06 9.6174426777393185e+06 9.5182953013137486e+06 9.4470175397550762e+06 9.4213797790635210e+06 9.4672004971184693e+06 9.6220581133235618e+06 9.9428978118510563e+06 1.0519866971903084e+07 1.1504849029326607e+07 1.6701045206042859e+06 +1.2719539846616046e+01 4.6128567705882005e+07 4.6123881325056694e+07 4.6115894351697691e+07 4.6105097921105012e+07 4.6093564041450903e+07 4.6084751927300073e+07 4.6080301276288301e+07 4.6077521331295095e+07 4.6073492923876226e+07 4.6067355583778709e+07 4.6059120875493668e+07 4.6048504324985743e+07 4.6035047150733151e+07 4.6018260891406350e+07 4.5997617911091648e+07 4.5972483456871197e+07 4.5942095582254358e+07 4.5905562118863322e+07 4.5861840028204344e+07 4.5809703642616555e+07 4.5747721751697093e+07 4.5674197160612397e+07 4.5586817697131105e+07 4.5481613422551751e+07 4.5354130658156194e+07 4.5202135083741806e+07 4.5023305242192209e+07 4.4813910663010627e+07 4.4569374403994851e+07 4.4284523730863899e+07 4.3953627445442013e+07 4.3570415515985429e+07 4.3128130390225470e+07 4.2619625207491480e+07 4.2037526562627323e+07 4.1374468484639093e+07 4.0623425205534324e+07 3.9778145373462945e+07 3.8833702077707045e+07 3.7787135565754786e+07 3.6548561851659857e+07 3.5195936513643324e+07 3.3738871647550069e+07 3.2193101525510136e+07 3.0580559779628947e+07 2.8928707056139391e+07 2.7269003210102729e+07 2.5634589585671280e+07 2.4057487445949610e+07 2.2565629907252356e+07 2.1180504603749491e+07 1.9916162011124447e+07 1.8779129447660767e+07 1.7768146081637088e+07 1.6876568469443768e+07 1.6094649429556258e+07 1.5410786889041321e+07 1.4813304034128578e+07 1.4291084309402913e+07 1.3834637702053770e+07 1.3435340815486461e+07 1.3086406471816249e+07 1.2781584251377925e+07 1.2516339808224743e+07 1.2286215914103616e+07 1.2087498671668371e+07 1.1917302233910976e+07 1.1772612403286858e+07 1.1650523731234061e+07 1.1548902160228632e+07 1.1465119456141237e+07 1.1397231662949856e+07 1.1343020507878479e+07 1.1300558706610003e+07 1.1267247135843668e+07 1.1240563042465910e+07 1.1218603128048101e+07 1.1199573129739292e+07 1.1181730012297165e+07 1.1169140587511761e+07 1.1156440650046146e+07 1.1143487361139705e+07 1.1129921972460626e+07 1.1115928440350646e+07 1.1101106967690699e+07 1.1085941950921342e+07 1.1069100979743285e+07 1.1051077438969765e+07 1.1031539648238692e+07 1.1010228605368743e+07 1.0986829580603113e+07 1.0960988023207098e+07 1.0932197409255076e+07 1.0900506003951544e+07 1.0864730827237172e+07 1.0824620447755588e+07 1.0779592852309311e+07 1.0729021704570021e+07 1.0672261090745896e+07 1.0608663135962587e+07 1.0537514086754655e+07 1.0458901309895493e+07 1.0371462253455753e+07 1.0275491816092489e+07 1.0171212017366819e+07 1.0059440799368527e+07 9.9415698315891530e+06 9.8202479979291223e+06 9.6994195450834241e+06 9.5855321122467592e+06 9.4867137071811799e+06 9.4156724459899776e+06 9.3901197596922517e+06 9.4357884469051883e+06 9.5901322456242573e+06 9.9099074002130795e+06 1.0484962192636900e+07 1.1466676062434202e+07 1.6637763353798273e+06 +1.2724508169390305e+01 4.5997902958309285e+07 4.5993229577824153e+07 4.5985264831663772e+07 4.5974498122190595e+07 4.5962995155423529e+07 4.5954205197704442e+07 4.5949763264501609e+07 4.5946986338398658e+07 4.5942963459371179e+07 4.5936836348032348e+07 4.5928616268663257e+07 4.5918019287195615e+07 4.5904587613884866e+07 4.5887833804613315e+07 4.5867231295946635e+07 4.5842146647887357e+07 4.5811819486067034e+07 4.5775359469171010e+07 4.5731725700040996e+07 4.5679695036478370e+07 4.5617839229536787e+07 4.5544464622372039e+07 4.5457263944291346e+07 4.5352275682569727e+07 4.5225055252640441e+07 4.5073372951806903e+07 4.4894912647892199e+07 4.4685952184139803e+07 4.4441924794773228e+07 4.4157669412281424e+07 4.3827468019391470e+07 4.3445065351438515e+07 4.3003720237442918e+07 4.2496303767233685e+07 4.1915461893364705e+07 4.1253849115214936e+07 4.0504460734709606e+07 3.9661066307657301e+07 3.8718758574889138e+07 3.7674594750870660e+07 3.6438914494549543e+07 3.5089512070724115e+07 3.3635994133205965e+07 3.2094074094701137e+07 3.0485646888925456e+07 2.8838115778365947e+07 2.7182866034608986e+07 2.5552951486047272e+07 2.3980299756287396e+07 2.2492753110863764e+07 2.1111719825175919e+07 1.9851188107208930e+07 1.8717643599004682e+07 1.7709808560782969e+07 1.6821041953014418e+07 1.6041612321056601e+07 1.5359943125412598e+07 1.4764386823144484e+07 1.4243857208802307e+07 1.3788891407241523e+07 1.3390891889735242e+07 1.3043092244465711e+07 1.2739261745322643e+07 1.2474880386401189e+07 1.2245505322511701e+07 1.2047434707629811e+07 1.1877792046722399e+07 1.1733573030608801e+07 1.1611881733256171e+07 1.1510591051793577e+07 1.1427081400647905e+07 1.1359415104573419e+07 1.1305381118306046e+07 1.1263058369726527e+07 1.1229856166067310e+07 1.1203259968302784e+07 1.1181372590800889e+07 1.1162405579257812e+07 1.1144621613480415e+07 1.1132073954646861e+07 1.1119416159529794e+07 1.1106505857885590e+07 1.1092985489359977e+07 1.1079038398752004e+07 1.1064266123570157e+07 1.1049151411863513e+07 1.1032366332021423e+07 1.1014402607092122e+07 1.0994929657457694e+07 1.0973689340449274e+07 1.0950367970817400e+07 1.0924612174435701e+07 1.0895917116442295e+07 1.0864330861785881e+07 1.0828674412313141e+07 1.0788697147093032e+07 1.0743818984430615e+07 1.0693415666601559e+07 1.0636843423389167e+07 1.0573456530012721e+07 1.0502543609501889e+07 1.0424191700154305e+07 1.0337042825801499e+07 1.0241390883340461e+07 1.0137457155536490e+07 1.0026056870034879e+07 9.9085770778280552e+06 9.7876578720894363e+06 9.6672304170269184e+06 9.5537209188574944e+06 9.4552304607026521e+06 9.3844249633815140e+06 9.3589570865144823e+06 9.4044742163138743e+06 9.5583057976251915e+06 9.8770197233553808e+06 1.0450166109619444e+07 1.1428621969309585e+07 1.6574713697199794e+06 +1.2729476492164563e+01 4.5867565400299534e+07 4.5862905165142842e+07 4.5854962553514242e+07 4.5844225472860314e+07 4.5832753337138042e+07 4.5823985488726757e+07 4.5819552263614267e+07 4.5816778364424549e+07 4.5812761018925846e+07 4.5806644133853234e+07 4.5798438674798153e+07 4.5787861247157827e+07 4.5774455051646732e+07 4.5757733659842260e+07 4.5737171579494707e+07 4.5712136681934096e+07 4.5681870162713990e+07 4.5645483505423591e+07 4.5601937951502688e+07 4.5550012880981632e+07 4.5488283002509803e+07 4.5415058192586668e+07 4.5328036075229943e+07 4.5223263552061409e+07 4.5096305121378295e+07 4.4944935692445986e+07 4.4766844449360043e+07 4.4558317536110170e+07 4.4314798347981893e+07 4.4031137465966865e+07 4.3701630032238066e+07 4.3320035524048768e+07 4.2879629122696310e+07 4.2373299834278733e+07 4.1793712929975249e+07 4.1133543334816396e+07 4.0385807369917467e+07 3.9544295442840077e+07 3.8604119884915411e+07 3.7562354813850328e+07 3.6329563104723670e+07 3.4983377905752130e+07 3.3533400369676821e+07 3.1995323016296286e+07 3.0391002085223019e+07 2.8747783508673292e+07 2.7096978084968317e+07 2.5471552294345774e+07 2.3903340337159678e+07 2.2420093873528775e+07 2.1043142069089200e+07 1.9786411094591353e+07 1.8656345106723610e+07 1.7651649583173126e+07 1.6765685954885392e+07 1.5988738511631383e+07 1.5309256222613221e+07 1.4715620766485173e+07 1.4196776223467264e+07 1.3743286792619478e+07 1.3346580746436372e+07 1.2999912383714831e+07 1.2697070616446415e+07 1.2433549738160376e+07 1.2204921244454646e+07 1.2007495304826356e+07 1.1838404748467993e+07 1.1694655124586899e+07 1.1573360000766806e+07 1.1472399207858924e+07 1.1389161782354457e+07 1.1321716311080653e+07 1.1267858954424620e+07 1.1225674834002607e+07 1.1192581662238453e+07 1.1166073089356512e+07 1.1144258024398725e+07 1.1125353804184804e+07 1.1107628806103820e+07 1.1095122783193102e+07 1.1082506999180965e+07 1.1069639550891899e+07 1.1056164062275793e+07 1.1042263268500758e+07 1.1027540037498983e+07 1.1012475474264981e+07 1.0995746111648005e+07 1.0977842016227370e+07 1.0958433705690624e+07 1.0937263894248221e+07 1.0914019937834386e+07 1.0888349635321321e+07 1.0859749835591037e+07 1.0828268404137801e+07 1.0792730312067239e+07 1.0752885746455669e+07 1.0708156551091621e+07 1.0657920540389979e+07 1.0601536081013223e+07 1.0538359591588758e+07 1.0467682064193474e+07 1.0389590209851054e+07 1.0302730613682626e+07 1.0207396174018489e+07 1.0103807439133652e+07 9.9927769306724016e+06 9.8756870955377650e+06 9.7551692635415569e+06 9.6351415571211316e+06 9.5220088164533712e+06 9.4238452836637069e+06 9.3532748158029113e+06 9.3278914841418397e+06 9.3732575286225490e+06 9.5265784880728126e+06 9.8442344906498417e+06 1.0415478415335394e+07 1.1390686413659785e+07 1.6511895419824114e+06 +1.2734444814938822e+01 4.5737554809223197e+07 4.5732907426583223e+07 4.5724986851209164e+07 4.5714279314619705e+07 4.5702837941472024e+07 4.5694092155039839e+07 4.5689667628351502e+07 4.5686896763968706e+07 4.5682884956995033e+07 4.5676778295660615e+07 4.5668587448250197e+07 4.5658029559165277e+07 4.5644648818156697e+07 4.5627959811180361e+07 4.5607438115783803e+07 4.5582452912854098e+07 4.5552246966018081e+07 4.5515933581251584e+07 4.5472476136026010e+07 4.5420656529328026e+07 4.5359052423577338e+07 4.5285977223991573e+07 4.5199133442457095e+07 4.5094576383058138e+07 4.4967879616028950e+07 4.4816822656877004e+07 4.4639099997172982e+07 4.4431006068928860e+07 4.4187994412921928e+07 4.3904927240391433e+07 4.3576112831495591e+07 4.3195325380435608e+07 4.2755856391395427e+07 4.2250612752923772e+07 4.1672279015583083e+07 4.1013550485350788e+07 4.0267464452046923e+07 3.9427832118901141e+07 3.8489785347112745e+07 3.7450415093846925e+07 3.6220507021902256e+07 3.4877533360140443e+07 3.3431089701513629e+07 3.1896847639796704e+07 3.0296624725064948e+07 2.8657709613064162e+07 2.7011338739267174e+07 2.5390391403312854e+07 2.3826608598254990e+07 2.2347651623819575e+07 2.0974770784302160e+07 1.9721830442962464e+07 1.8595233461290475e+07 1.7593668659479637e+07 1.6710500004853958e+07 1.5936027548832443e+07 1.5258725744395997e+07 1.4667005442519097e+07 1.4149840944870528e+07 1.3697823461295605e+07 1.3302406998960722e+07 1.2956866512000369e+07 1.2655010495145403e+07 1.2392347500835408e+07 1.2164463323306812e+07 1.1967680111830207e+07 1.1799139992222123e+07 1.1655858342111843e+07 1.1534958193886299e+07 1.1434326291227490e+07 1.1351360266291240e+07 1.1284134949315725e+07 1.1230453684554625e+07 1.1188407768925035e+07 1.1155423294783480e+07 1.1129002076774675e+07 1.1107259100616008e+07 1.1088417476854304e+07 1.1070751263035029e+07 1.1058286746372445e+07 1.1045712842583772e+07 1.1032888114128731e+07 1.1019457365569411e+07 1.1005602724369463e+07 1.0990928384696079e+07 1.0975913813775145e+07 1.0959239994765393e+07 1.0941395343054030e+07 1.0922051470203364e+07 1.0900951944618231e+07 1.0877785160215210e+07 1.0852200085169446e+07 1.0823695246853638e+07 1.0792318312093500e+07 1.0756898208632007e+07 1.0717185929145914e+07 1.0672605236917378e+07 1.0622536012024013e+07 1.0566338751379753e+07 1.0503372010299964e+07 1.0432929142538214e+07 1.0355096533007700e+07 1.0268525313662341e+07 1.0173507387487492e+07 1.0070262570569530e+07 9.9596006869689282e+06 9.8428995938481614e+06 9.7227818849653471e+06 9.6031526815942042e+06 9.4903955245835856e+06 9.3925578984950222e+06 9.3222217277777493e+06 9.2969226778483186e+06 9.3421381077629682e+06 9.4949500363895670e+06 9.8115514121659417e+06 1.0380898803031618e+07 1.1352869060015758e+07 1.6449307707951069e+06 +1.2739413137713081e+01 4.5607870086972877e+07 4.5603235608135432e+07 4.5595337070276000e+07 4.5584658990406707e+07 4.5573248323696755e+07 4.5564524551785260e+07 4.5560108713966556e+07 4.5557340892179921e+07 4.5553334628687665e+07 4.5547238188471444e+07 4.5539061943910047e+07 4.5528523578084096e+07 4.5515168268217750e+07 4.5498511613280870e+07 4.5478030259303898e+07 4.5453094695122123e+07 4.5422949250208996e+07 4.5386709050793916e+07 4.5343339607575573e+07 4.5291625335286312e+07 4.5230146846352622e+07 4.5157221069930546e+07 4.5070555398988135e+07 4.4966213528266333e+07 4.4839778088872790e+07 4.4689033196887031e+07 4.4511678642592698e+07 4.4304017133160375e+07 4.4061512339463457e+07 4.3779038084540129e+07 4.3450915765330084e+07 4.3070934267739244e+07 4.2632401389663756e+07 4.2128241868142694e+07 4.1551159494026802e+07 4.0893869909476057e+07 4.0149431322686069e+07 3.9311675676534683e+07 3.8375754301583372e+07 3.7338774930883482e+07 3.6111745586732224e+07 3.4771977776226975e+07 3.3329061474195007e+07 3.1798647315598894e+07 3.0202514165986981e+07 2.8567893458600558e+07 2.6925947376703471e+07 2.5309468206784237e+07 2.3750103950432017e+07 2.2275425791488938e+07 2.0906605420721285e+07 1.9657445623108868e+07 1.8534308154286765e+07 1.7535865301458497e+07 1.6655483633749850e+07 1.5883478981232097e+07 1.5208351255505634e+07 1.4618540430584176e+07 1.4103050965388659e+07 1.3652501017257608e+07 1.3258370261582308e+07 1.2913954252656871e+07 1.2613081012682844e+07 1.2351273312628042e+07 1.2124131203275194e+07 1.1927988778107222e+07 1.1759997431888701e+07 1.1617182340886422e+07 1.1496675973526999e+07 1.1396371965506051e+07 1.1313676518297290e+07 1.1246670686933005e+07 1.1193164977809988e+07 1.1151256844774334e+07 1.1118380734878844e+07 1.1092046602512566e+07 1.1070375492022285e+07 1.1051596270382874e+07 1.1033988657891996e+07 1.1021565518185336e+07 1.1009033364111850e+07 1.0996251222345861e+07 1.0982865074406693e+07 1.0969056441920104e+07 1.0954430841141885e+07 1.0939466106828228e+07 1.0922847658293877e+07 1.0905062265015893e+07 1.0885782629012767e+07 1.0864753170209702e+07 1.0841663317291066e+07 1.0816163204081463e+07 1.0787753031156987e+07 1.0756480267493153e+07 1.0721177784898924e+07 1.0681597379228281e+07 1.0637164727278538e+07 1.0587261768356333e+07 1.0531251122976167e+07 1.0468493476518342e+07 1.0398284536975259e+07 1.0320710364350889e+07 1.0234426623019105e+07 1.0139724223845595e+07 1.0036822252977794e+07 9.9265278453198317e+06 9.8102142826016378e+06 9.6904954497353695e+06 9.5712635073382054e+06 9.4588807634780966e+06 9.3613680283138733e+06 9.2912654244811125e+06 9.2660503935667500e+06 9.3111156783360839e+06 9.4634201626687851e+06 9.7789701986514162e+06 1.0346426966692770e+07 1.1315169573683010e+07 1.6386949750555444e+06 +1.2744381460487340e+01 4.5478510438070208e+07 4.5473889079771191e+07 4.5466012569126822e+07 4.5455363849824123e+07 4.5443983839754507e+07 4.5435282034698218e+07 4.5430874876237966e+07 4.5428110104753412e+07 4.5424109389602982e+07 4.5418023167740248e+07 4.5409861517203897e+07 4.5399342659220323e+07 4.5386012757032104e+07 4.5369388421314135e+07 4.5348947365200728e+07 4.5324061383685999e+07 4.5293976370095089e+07 4.5257809268709369e+07 4.5214527720658764e+07 4.5162918653193481e+07 4.5101565624884926e+07 4.5028789084199257e+07 4.4942301298323058e+07 4.4838174340901867e+07 4.4711999892715372e+07 4.4561566664786719e+07 4.4384579737386934e+07 4.4177350079982758e+07 4.3935351478005946e+07 4.3653469348112985e+07 4.3326038182494678e+07 4.2946861533779703e+07 4.2509263464245006e+07 4.2006186525539704e+07 4.1430353709757417e+07 4.0774500950539492e+07 4.0031707324110270e+07 3.9195825457216121e+07 3.8262026089224383e+07 3.7227433665738180e+07 3.6003278140706047e+07 3.4666710497276172e+07 3.3227315034183752e+07 3.1700721395194642e+07 3.0108669766585767e+07 2.8478334413502492e+07 2.6840803377546053e+07 2.5228782099730548e+07 2.3673825805673711e+07 2.2203415807377145e+07 2.0838645429453213e+07 1.9593256106914341e+07 1.8473568678420689e+07 1.7478239021963317e+07 1.6600636373522563e+07 1.5831092358432621e+07 1.5158132321698772e+07 1.4570225311002774e+07 1.4056405878408652e+07 1.3607319065468159e+07 1.3214470149496360e+07 1.2871175229879538e+07 1.2571281801189214e+07 1.2310326812596390e+07 1.2083924529449459e+07 1.1888420953892799e+07 1.1720976722197413e+07 1.1578626779428978e+07 1.1458513001429332e+07 1.1358535895112766e+07 1.1276110205002401e+07 1.1209323192384120e+07 1.1155992504106611e+07 1.1114221732610311e+07 1.1081453654505638e+07 1.1055206339298252e+07 1.1033606871979516e+07 1.1014889858671529e+07 1.0997340665114013e+07 1.0984958773415107e+07 1.0972468238923673e+07 1.0959728551073356e+07 1.0946386864696605e+07 1.0932624097476445e+07 1.0918047083603799e+07 1.0903132030610645e+07 1.0886568779936945e+07 1.0868842460333252e+07 1.0849626860899026e+07 1.0828667250438159e+07 1.0805654089142138e+07 1.0780238672872990e+07 1.0751922870180147e+07 1.0720753952941841e+07 1.0685568724501640e+07 1.0646119781512909e+07 1.0601834708295301e+07 1.0552097496980503e+07 1.0496272885068385e+07 1.0433723681345770e+07 1.0363747940673698e+07 1.0286431399334965e+07 1.0200434239765570e+07 1.0106046383885285e+07 1.0003486190198900e+07 9.8935581128238123e+06 9.7776308723142985e+06 9.6583096719034016e+06 9.5394737519382089e+06 9.4274642540269699e+06 9.3302753968875725e+06 9.2604056317521520e+06 9.2352743578744717e+06 9.2801899655906856e+06 9.4319885876580235e+06 9.7464905615635328e+06 1.0312062601010734e+07 1.1277587620779937e+07 1.6324820739298845e+06 +1.2749349783261598e+01 4.5349475663298644e+07 4.5344867249703839e+07 4.5337012688058600e+07 4.5326393250765726e+07 4.5315043845853671e+07 4.5306363959879689e+07 4.5301965471487232e+07 4.5299203757892765e+07 4.5295208595844418e+07 4.5289132589602806e+07 4.5280985524109520e+07 4.5270486158521824e+07 4.5257181640497439e+07 4.5240589591018923e+07 4.5220188789026052e+07 4.5195352334005184e+07 4.5165327681098163e+07 4.5129233590247296e+07 4.5086039830358744e+07 4.5034535837958209e+07 4.4973308113886379e+07 4.4900680621235631e+07 4.4814370494624756e+07 4.4710458174747720e+07 4.4584544380945109e+07 4.4434422413522594e+07 4.4257802633932754e+07 4.4051004261159740e+07 4.3809511179638222e+07 4.3528220381377719e+07 4.3201479432414502e+07 4.2823106526939914e+07 4.2386441962516367e+07 4.1884446071455806e+07 4.1309861007970631e+07 4.0655442952652544e+07 3.9914291799465880e+07 3.9080280803177163e+07 3.8148600051785789e+07 3.7116390640075162e+07 3.5895104026209332e+07 3.4561730867464386e+07 3.3125849728931341e+07 3.1603069231011562e+07 3.0015090886522003e+07 2.8389031846938673e+07 2.6755906123234909e+07 2.5148332478268702e+07 2.3597773577094279e+07 2.2131621103552815e+07 2.0770890262723465e+07 1.9529261367473967e+07 1.8413014527494580e+07 1.7420789334916860e+07 1.6545957757114140e+07 1.5778867231046936e+07 1.5108068509705450e+07 1.4522059665067833e+07 1.4009905278211426e+07 1.3562277211769015e+07 1.3170706278779831e+07 1.2828529068764467e+07 1.2529612493666643e+07 1.2269507640624028e+07 1.2043842947715262e+07 1.1848976290306039e+07 1.1682077518679500e+07 1.1540191317088397e+07 1.1420468940123158e+07 1.1320817745253533e+07 1.1238660993842177e+07 1.1172092134894980e+07 1.1118935934123991e+07 1.1077302104270155e+07 1.1044641726430543e+07 1.1018480960628191e+07 1.0996952914621467e+07 1.0978297916397413e+07 1.0960806959870057e+07 1.0948466187623737e+07 1.0936017142937025e+07 1.0923319776613001e+07 1.0910022413136831e+07 1.0896305368154736e+07 1.0881776789626062e+07 1.0866911263127938e+07 1.0850403038159447e+07 1.0832735607989751e+07 1.0813583845422799e+07 1.0792693865473136e+07 1.0769757156623457e+07 1.0744426173170898e+07 1.0716204446349649e+07 1.0685139051800292e+07 1.0650070711853903e+07 1.0610752821562307e+07 1.0566614866844509e+07 1.0517042886250047e+07 1.0461403727650076e+07 1.0399062316617990e+07 1.0329319047538619e+07 1.0252259334153639e+07 1.0166547862630524e+07 1.0072473569126822e+07 9.9702540867701788e+06 9.8606911972596887e+06 9.7451490742038507e+06 9.6262242662266623e+06 9.5077831336312499e+06 9.3961457177863717e+06 9.2992797286390420e+06 9.2296420760912225e+06 9.2045942980112974e+06 9.2493606954362001e+06 9.4006550328008775e+06 9.7141122130286396e+06 1.0277805401420381e+07 1.1240122868231446e+07 1.6262919868521653e+06 +1.2754318106035857e+01 4.5220765102225199e+07 4.5216169476472721e+07 4.5208336777846977e+07 4.5197746557728156e+07 4.5186427698611647e+07 4.5177769684103601e+07 4.5173379856591776e+07 4.5170621208408445e+07 4.5166631604062431e+07 4.5160565810684174e+07 4.5152433321223877e+07 4.5141953432445697e+07 4.5128674274939984e+07 4.5112114478668995e+07 4.5091753886981860e+07 4.5066966902199186e+07 4.5037002539153844e+07 4.5000981371214338e+07 4.4957875292276628e+07 4.4906476244967952e+07 4.4845373668546058e+07 4.4772895036034152e+07 4.4686762342586935e+07 4.4583064384187028e+07 4.4457410907517217e+07 4.4307599796582676e+07 4.4131346685177989e+07 4.3924979028991990e+07 4.3683990796000049e+07 4.3403290535211705e+07 4.3077238865045853e+07 4.2699668596308872e+07 4.2263936232574254e+07 4.1763019852836281e+07 4.1189680734513581e+07 4.0536695260608874e+07 3.9797184092452459e+07 3.8965041057400472e+07 3.8035475531714596e+07 3.7005645196430340e+07 3.5787222586484827e+07 3.4457038231928788e+07 3.3024664906775914e+07 3.1505690176551472e+07 2.9921776886457954e+07 2.8299985129252978e+07 2.6671254996250488e+07 2.5068118739660978e+07 2.3521946678989232e+07 2.2060041113177385e+07 2.0703339373903949e+07 1.9465460878921527e+07 1.8352645196413353e+07 1.7363515755335197e+07 1.6491447318564419e+07 1.5726803150727581e+07 1.5058159387278432e+07 1.4474043075024253e+07 1.3963548760045912e+07 1.3517375062945118e+07 1.3127078266441289e+07 1.2786015395297905e+07 1.2488072723995769e+07 1.2228815437493725e+07 1.2003886104818957e+07 1.1809654439263104e+07 1.1643299477705128e+07 1.1501875613996606e+07 1.1382543452955617e+07 1.1283217181936208e+07 1.1201328553037267e+07 1.1134977184498696e+07 1.1081994939348167e+07 1.1040497632388897e+07 1.1007944624204889e+07 1.0981870140806176e+07 1.0960413294842964e+07 1.0941820119021092e+07 1.0924387218144009e+07 1.0912087437144101e+07 1.0899679752856538e+07 1.0887024576049231e+07 1.0873771397207579e+07 1.0860099931817839e+07 1.0845619637502760e+07 1.0830803483104402e+07 1.0814350112182101e+07 1.0796741387748890e+07 1.0777653262905017e+07 1.0756832696246767e+07 1.0733972201362751e+07 1.0708725387329424e+07 1.0680597442884004e+07 1.0649635248183366e+07 1.0614683432099361e+07 1.0575496185694287e+07 1.0531504890552757e+07 1.0482097625247762e+07 1.0426643341442574e+07 1.0364509074905152e+07 1.0294997552214092e+07 1.0218193865729460e+07 1.0132767191064985e+07 1.0039005481792312e+07 9.9371256479512267e+06 9.8279268071243241e+06 9.7127686001760270e+06 9.5942389481108710e+06 9.4761913713602871e+06 9.3649248769806456e+06 9.2683807486644331e+06 9.1989744846335594e+06 9.1740099418638349e+06 9.2186275944315493e+06 9.3694192201679163e+06 9.6818348658807762e+06 1.0243655064082902e+07 1.1202774983728770e+07 1.6201246335234824e+06 +1.2759286428810116e+01 4.5092377623308666e+07 4.5087794988030255e+07 4.5079984196895123e+07 4.5069423138785988e+07 4.5058134755009443e+07 4.5049498564634882e+07 4.5045117388936535e+07 4.5042361813553855e+07 4.5038377771569818e+07 4.5032322188069373e+07 4.5024204265609287e+07 4.5013743837998644e+07 4.5000490017252102e+07 4.4983962441081278e+07 4.4963642015783042e+07 4.4938904444862984e+07 4.4909000300722159e+07 4.4873051967921518e+07 4.4830033462621063e+07 4.4778739230248272e+07 4.4717761644658074e+07 4.4645431684077315e+07 4.4559476197435632e+07 4.4455992324086279e+07 4.4330598826981984e+07 4.4181098168054953e+07 4.4005211244714387e+07 4.3799273736478895e+07 4.3558789679342985e+07 4.3278679161078155e+07 4.2953315831084684e+07 4.2576547091576137e+07 4.2141745623022921e+07 4.1641907217338696e+07 4.1069812235995904e+07 4.0418257219822161e+07 3.9680383547662742e+07 3.8850105563650779e+07 3.7922651872320086e+07 3.6895196678094454e+07 3.5679633165640429e+07 3.4352631936626188e+07 3.2923759917075098e+07 3.1408583586232834e+07 2.9828727128117893e+07 2.8211193631853785e+07 2.6586849380241942e+07 2.4988140282273814e+07 2.3446344526791722e+07 2.1988675270588230e+07 2.0635992217490111e+07 1.9401854116578918e+07 1.8292460181197874e+07 1.7306417799312554e+07 1.6437104592933597e+07 1.5674899670146748e+07 1.5008404523149109e+07 1.4426175124114446e+07 1.3917335920105100e+07 1.3472612226706119e+07 1.3083585730359891e+07 1.2743633836334627e+07 1.2446662126891783e+07 1.2188249844794821e+07 1.1964053648359258e+07 1.1770455053504806e+07 1.1604642256456025e+07 1.1463679331109043e+07 1.1344736204062112e+07 1.1245733871980434e+07 1.1164112551603714e+07 1.1097978012009110e+07 1.1045169192038301e+07 1.1003807990376640e+07 1.0971362022145672e+07 1.0945373554902021e+07 1.0923987688351914e+07 1.0905456142778696e+07 1.0888081116686812e+07 1.0875822199088162e+07 1.0863455746171780e+07 1.0850842627227865e+07 1.0837633495150577e+07 1.0824007467132799e+07 1.0809575306313504e+07 1.0794808370046660e+07 1.0778409682018973e+07 1.0760859480132684e+07 1.0741834794433590e+07 1.0721083424472451e+07 1.0698298905736087e+07 1.0673135998484911e+07 1.0645101543742783e+07 1.0614242226972295e+07 1.0579406571156016e+07 1.0540349560985595e+07 1.0496504467790881e+07 1.0447261403810538e+07 1.0391991417931067e+07 1.0330063649528349e+07 1.0260783150066579e+07 1.0184234691697763e+07 1.0099091925236316e+07 1.0005641824847953e+07 9.9041005797023550e+06 9.7952646516178232e+06 9.6804891628334206e+06 9.5623534336783346e+06 9.4446981847124025e+06 9.3338014545027670e+06 9.2375781827064063e+06 9.1684025851912517e+06 9.1435210179659594e+06 9.1879903898047619e+06 9.3382808725290895e+06 9.6496582336309496e+06 1.0209611285886671e+07 1.1165543635803243e+07 1.6139799339111934e+06 +1.2764254751584375e+01 4.4964313193024464e+07 4.4959743308291338e+07 4.4951954317705236e+07 4.4941422361526303e+07 4.4930164372382924e+07 4.4921549959276773e+07 4.4917177426463656e+07 4.4914424931242302e+07 4.4910446456044905e+07 4.4904401079506636e+07 4.4896297714817263e+07 4.4885856732716069e+07 4.4872628224970549e+07 4.4856132835641034e+07 4.4835852532745816e+07 4.4811164319147229e+07 4.4781320322869383e+07 4.4745444737290345e+07 4.4702513698116086e+07 4.4651324150374733e+07 4.4590471398579068e+07 4.4518289921505406e+07 4.4432511415007278e+07 4.4329241350011051e+07 4.4204107494468696e+07 4.4054916882553585e+07 4.3879395666617364e+07 4.3673887737144090e+07 4.3433907182543688e+07 4.3154385611108691e+07 4.2829709681723990e+07 4.2453741363159701e+07 4.2019869483312346e+07 4.1521107513262354e+07 4.0950254859589405e+07 4.0300128176645346e+07 3.9563889510390460e+07 3.8735473666497447e+07 3.7810128417754166e+07 3.6785044429227233e+07 3.5572335108686015e+07 3.4248511328516677e+07 3.2823134110143837e+07 3.1311748815555494e+07 2.9735940974304710e+07 2.8122656727260966e+07 2.6502688659957390e+07 2.4908396505620409e+07 2.3370966537047651e+07 2.1917523011270933e+07 2.0568848249158137e+07 1.9338440556879859e+07 1.8232458979007259e+07 1.7249494984011728e+07 1.6382929116363224e+07 1.5623156343018159e+07 1.4958803487051794e+07 1.4378455396516165e+07 1.3871266355519177e+07 1.3427988311674139e+07 1.3040228289324198e+07 1.2701384019617034e+07 1.2405380337970968e+07 1.2147810504986327e+07 1.1924345226737857e+07 1.1731377786623539e+07 1.1566105512941035e+07 1.1425602130187972e+07 1.1307046858399037e+07 1.1208367482981615e+07 1.1127012659347009e+07 1.1061094289031900e+07 1.1008458365255525e+07 1.0967232852444818e+07 1.0934893595363878e+07 1.0908990878761416e+07 1.0887675771611087e+07 1.0869205664670100e+07 1.0851888333016427e+07 1.0839670151342446e+07 1.0827344801113566e+07 1.0814773608773476e+07 1.0801608385975102e+07 1.0788027653502051e+07 1.0773643475909667e+07 1.0758925604264876e+07 1.0742581428433718e+07 1.0725089566434583e+07 1.0706128121862337e+07 1.0685445732609496e+07 1.0662736952877156e+07 1.0637657690510618e+07 1.0609716433639571e+07 1.0578959673797272e+07 1.0544239815685501e+07 1.0505312635248171e+07 1.0461613287672617e+07 1.0412533912503717e+07 1.0357447649322223e+07 1.0295725734538922e+07 1.0226675537194008e+07 1.0150381510422051e+07 1.0065521766032591e+07 9.9723823019295633e+06 9.8711785886792317e+06 9.7627044406166524e+06 9.6483104754654188e+06 9.5305674396982007e+06 9.4133032939596772e+06 9.3027751739030406e+06 9.2068717571746241e+06 9.1379261062130891e+06 9.1131272555132061e+06 9.1574488094296250e+06 9.3072397133056447e+06 9.6175820304744113e+06 1.0175673764450820e+07 1.1128428493744096e+07 1.6078578082481057e+06 +1.2769223074358633e+01 4.4836570951435149e+07 4.4832013714439921e+07 4.4824246516146615e+07 4.4813743589288682e+07 4.4802515908623092e+07 4.4793923226457812e+07 4.4789559327670820e+07 4.4786809919869930e+07 4.4782837015870005e+07 4.4776801843276054e+07 4.4768713027140766e+07 4.4758291474722587e+07 4.4745088256111890e+07 4.4728625020278871e+07 4.4708384795642972e+07 4.4683745882787667e+07 4.4653961963182755e+07 4.4618159036772527e+07 4.4575315356060341e+07 4.4524230362399891e+07 4.4463502287178054e+07 4.4391469104987703e+07 4.4305867351686679e+07 4.4202810818002567e+07 4.4077936265632443e+07 4.3929055295405611e+07 4.3753899305631891e+07 4.3548820385094509e+07 4.3309342659047350e+07 4.3030409238020882e+07 4.2706419768954203e+07 4.2331250761960298e+07 4.1898307163443528e+07 4.1400620089572780e+07 4.0831007953317642e+07 4.0182307477940731e+07 3.9447701326650321e+07 3.8621144711220466e+07 3.7697904512898862e+07 3.6675187794875443e+07 3.5465327761539400e+07 3.4144675755462877e+07 3.2722786837241981e+07 3.1215185220997587e+07 2.9643417788821861e+07 2.8034373788960237e+07 2.6418772221241560e+07 2.4828886810382273e+07 2.3295812127503924e+07 2.1846583771825716e+07 2.0501906925702203e+07 1.9275219677377462e+07 1.8172641088028435e+07 1.7192746827669367e+07 1.6328920426019404e+07 1.5571572724041758e+07 1.4909355849720858e+07 1.4330883477415854e+07 1.3825339664361976e+07 1.3383502927391022e+07 1.2997005563031260e+07 1.2659265573766513e+07 1.2364226993694277e+07 1.2107497061387660e+07 1.1884760489215778e+07 1.1692422293015843e+07 1.1527688905963073e+07 1.1387643673810607e+07 1.1269475081718739e+07 1.1171117683343418e+07 1.1090028546868389e+07 1.1024325687950931e+07 1.0971862132829957e+07 1.0930771893558137e+07 1.0898539019743206e+07 1.0872721789008588e+07 1.0851477221865099e+07 1.0833068362479148e+07 1.0815808545421269e+07 1.0803630972551959e+07 1.0791346596724074e+07 1.0778817200089462e+07 1.0765695749469429e+07 1.0752160171114646e+07 1.0737823826906227e+07 1.0723154866789421e+07 1.0706865032964071e+07 1.0689431328695832e+07 1.0670532927808046e+07 1.0649919303898532e+07 1.0627286026695227e+07 1.0602290148059281e+07 1.0574441798052242e+07 1.0543787275045993e+07 1.0509182853094039e+07 1.0470385097054437e+07 1.0426831040058443e+07 1.0377914842655223e+07 1.0323011728573637e+07 1.0261495024707422e+07 1.0192674410431663e+07 1.0116634020997712e+07 1.0032056415057406e+07 9.9392266174080484e+06 9.8383593822519612e+06 9.7302458847099002e+06 9.6162322520389687e+06 9.4988806836437993e+06 9.3820064200481791e+06 9.2718457594040055e+06 9.1762611991194375e+06 9.1075447767965756e+06 9.0828283843513038e+06 9.1270025818259809e+06 9.2762954665803667e+06 9.5856059712965172e+06 1.0141842198109368e+07 1.1091429227641216e+07 1.6017581770316749e+06 +1.2774191397132892e+01 4.4709150347843133e+07 4.4704605585072763e+07 4.4696860138037547e+07 4.4686386179113470e+07 4.4675188722168148e+07 4.4666617725101441e+07 4.4662262451553553e+07 4.4659516138426535e+07 4.4655548809919797e+07 4.4649523838181064e+07 4.4641449561268486e+07 4.4631047422676302e+07 4.4617869469203323e+07 4.4601438353485115e+07 4.4581238162921645e+07 4.4556648494071901e+07 4.4526924579808138e+07 4.4491194224395551e+07 4.4448437794333674e+07 4.4397457224082939e+07 4.4336853667977624e+07 4.4264968591748185e+07 4.4179543364462487e+07 4.4076700084713824e+07 4.3952084496789701e+07 4.3803512762360863e+07 4.3628721517089695e+07 4.3424071035073273e+07 4.3185095462963462e+07 4.2906749395153269e+07 4.2583445445210956e+07 4.2209074639654867e+07 4.1777058014055550e+07 4.1280444296027116e+07 4.0712070865816616e+07 4.0064794471365921e+07 3.9331818343223400e+07 3.8507118043914445e+07 3.7585979503504470e+07 3.6565626120893411e+07 3.5358610470920242e+07 3.4041124566254467e+07 3.2622717450600106e+07 3.1118892160055842e+07 2.9551156936536606e+07 2.7946344191680517e+07 2.6335099451060411e+07 2.4749610598306816e+07 2.3220880716995072e+07 2.1775856990044288e+07 2.0435167705038536e+07 1.9212190956744045e+07 1.8113006007609133e+07 1.7136172849645950e+07 1.6275078060137101e+07 1.5520148368963266e+07 1.4860061182872562e+07 1.4283458952920660e+07 1.3779555445642576e+07 1.3339155684329409e+07 1.2953917172057340e+07 1.2617278128285399e+07 1.2323201731374292e+07 1.2067309158141997e+07 1.1845299085891901e+07 1.1653588227910575e+07 1.1489392095162146e+07 1.1349803625353700e+07 1.1232020540569501e+07 1.1133984142264357e+07 1.1053159885552146e+07 1.0987671881962502e+07 1.0935380169379342e+07 1.0894424789473426e+07 1.0862297971950639e+07 1.0836565963046500e+07 1.0815391717125613e+07 1.0797043914776387e+07 1.0779841432973677e+07 1.0767704342162525e+07 1.0755460812779782e+07 1.0742973081327597e+07 1.0729895266186159e+07 1.0716404700936470e+07 1.0702116040674079e+07 1.0687495839444635e+07 1.0671260177903108e+07 1.0653884449729711e+07 1.0635048895639800e+07 1.0614503822322110e+07 1.0591945811855424e+07 1.0567033056537773e+07 1.0539277323200556e+07 1.0508724717847528e+07 1.0474235371556861e+07 1.0435566635718727e+07 1.0392157415566746e+07 1.0343403886332603e+07 1.0288683349367311e+07 1.0227371215552438e+07 1.0158779467335384e+07 1.0082991923238464e+07 9.9986955746327080e+06 9.9061744763687532e+06 9.8056426684959047e+06 9.6978886951716170e+06 9.5842542072200831e+06 9.4672928836629447e+06 9.3508072845844440e+06 9.2410129358810037e+06 9.1457462362720463e+06 9.0772583267028425e+06 9.0526241349523235e+06 9.0966514361680448e+06 9.2454478571018260e+06 9.5537297716737669e+06 1.0108116285937423e+07 1.1054545508387059e+07 1.5956809610232047e+06 +1.2779159719907151e+01 4.4582050367320329e+07 4.4577518404913820e+07 4.4569794521068260e+07 4.4559349482682101e+07 4.4548182172173724e+07 4.4539632814823620e+07 4.4535286157700129e+07 4.4532542946405545e+07 4.4528581197670922e+07 4.4522566423636019e+07 4.4514506676507175e+07 4.4504123935843140e+07 4.4490971223446466e+07 4.4474572194353849e+07 4.4454411993526898e+07 4.4429871511848144e+07 4.4400207531493515e+07 4.4364549658757195e+07 4.4321880371402763e+07 4.4271004093646467e+07 4.4210524899014950e+07 4.4138787739633530e+07 4.4053538810895920e+07 4.3950908507369056e+07 4.3826551544778526e+07 4.3678288639897577e+07 4.3503861656929657e+07 4.3299639042444900e+07 4.3061164948977552e+07 4.2783405436464921e+07 4.2460786063729569e+07 4.2087212348539151e+07 4.1656121386489883e+07 4.1160579482884057e+07 4.0593442946446240e+07 3.9947588505357675e+07 3.9216239907627486e+07 3.8393393011450402e+07 3.7474352736132242e+07 3.6456358753925472e+07 3.5252182584514134e+07 3.3937857110584453e+07 3.2522925303444706e+07 3.1022868991222154e+07 2.9459157783392489e+07 2.7858567311117306e+07 2.6251669737504117e+07 2.4670567272322997e+07 2.3146171725540791e+07 2.1705342104832944e+07 2.0368630046239994e+07 1.9149353874782853e+07 1.8053553238177978e+07 1.7079772570312444e+07 1.6221401557986572e+07 1.5468882834535729e+07 1.4810919059193142e+07 1.4236181410125542e+07 1.3733913299318677e+07 1.3294946193839453e+07 1.2910962737888545e+07 1.2575421313533347e+07 1.2282304189208385e+07 1.2027246440247055e+07 1.1805960667694943e+07 1.1614875247369172e+07 1.1451214740983114e+07 1.1312081649004297e+07 1.1194682902289247e+07 1.1096966529735580e+07 1.1016406347582739e+07 1.0951132545006584e+07 1.0899012150300112e+07 1.0858191216733973e+07 1.0826170129437067e+07 1.0800523079059439e+07 1.0779418936198758e+07 1.0761132000880539e+07 1.0743986675516414e+07 1.0731889940359561e+07 1.0719687129851554e+07 1.0707240933422545e+07 1.0694206617454382e+07 1.0680760924679568e+07 1.0666519799370926e+07 1.0651948204801794e+07 1.0635766546319917e+07 1.0618448613131555e+07 1.0599675709507396e+07 1.0579198972624073e+07 1.0556715993756132e+07 1.0531886102105502e+07 1.0504222696073350e+07 1.0473771690094991e+07 1.0439397059987750e+07 1.0400856941298863e+07 1.0357592105543658e+07 1.0309000736312287e+07 1.0254462206130447e+07 1.0193354003319649e+07 1.0124990406181257e+07 1.0049454917673614e+07 9.9654389478013087e+06 9.8732255845817775e+06 9.7730281561726164e+06 9.6656325839697495e+06 9.5523760563522950e+06 9.4358037585603837e+06 9.3197056098496504e+06 9.2102764288819451e+06 9.1153265969872754e+06 9.0470664863446169e+06 9.0225142384683099e+06 9.0663951022940539e+06 9.2146966102800854e+06 9.5219531478509810e+06 1.0074495727715375e+07 1.1017777007664090e+07 1.5896260812470529e+06 +1.2784128042681409e+01 4.4455270518942691e+07 4.4450751516467839e+07 4.4443049042202525e+07 4.4432632850355007e+07 4.4421495618613832e+07 4.4412967855758741e+07 4.4408629806254677e+07 4.4405889703930490e+07 4.4401933539128169e+07 4.4395928959552325e+07 4.4387883732770719e+07 4.4377520373991705e+07 4.4364392878568128e+07 4.4348025902468048e+07 4.4327905647009686e+07 4.4303414295561455e+07 4.4273810177557535e+07 4.4238224699043013e+07 4.4195642446194962e+07 4.4144870329917558e+07 4.4084515338970795e+07 4.4012925907030873e+07 4.3927853049089387e+07 4.3825435443854526e+07 4.3701336767092876e+07 4.3553382284991257e+07 4.3379319081620418e+07 4.3175523763184801e+07 4.2937550472408913e+07 4.2660376716601036e+07 4.2338440978276305e+07 4.1965663241507411e+07 4.1535496632819891e+07 4.1041025001272790e+07 4.0475123545239888e+07 3.9830688928981267e+07 3.9100965368177906e+07 3.8279968961507969e+07 3.7363023558077872e+07 3.6347385041597649e+07 3.5146043450858787e+07 3.3834872739080898e+07 3.2423409749938570e+07 3.0927115073979527e+07 2.9367419696326438e+07 2.7771042524082888e+07 2.6168482469742041e+07 2.4591756236463238e+07 2.3071684574266765e+07 2.1635038556270141e+07 2.0302293409524046e+07 1.9086707912405375e+07 1.7994282281279404e+07 1.7023545511160299e+07 1.6167890459880428e+07 1.5417775678554378e+07 1.4761929052399457e+07 1.4189050437080845e+07 1.3688412826280573e+07 1.3250874068223877e+07 1.2868141882911045e+07 1.2533694760779699e+07 1.2241534006243514e+07 1.1987308553566104e+07 1.1766744886383263e+07 1.1576283008249745e+07 1.1413156504676137e+07 1.1274477409746600e+07 1.1157461835031016e+07 1.1060064516531229e+07 1.0979767605916271e+07 1.0914707351837156e+07 1.0862757751774820e+07 1.0822070852656370e+07 1.0790155170402339e+07 1.0764592815988362e+07 1.0743558558637122e+07 1.0725332300898982e+07 1.0708243953651814e+07 1.0696187448108792e+07 1.0684025229259040e+07 1.0671620438074958e+07 1.0658629485350421e+07 1.0645228524832997e+07 1.0631034785906253e+07 1.0616511646214444e+07 1.0600383822031453e+07 1.0583123503231075e+07 1.0564413054297170e+07 1.0544004440310527e+07 1.0521596258596541e+07 1.0496848971658077e+07 1.0469277604404435e+07 1.0438927880431475e+07 1.0404667608036052e+07 1.0366255704612032e+07 1.0323134802086823e+07 1.0274705086148182e+07 1.0220347994028144e+07 1.0159443084996004e+07 1.0091306925988013e+07 1.0016022705550397e+07 9.9322862383127920e+06 9.8403796485534962e+06 9.7405155547612961e+06 9.6334772637736443e+06 9.5205975154595990e+06 9.4044130278478265e+06 9.2887011187886875e+06 9.1796359645932186e+06 9.0850020102921613e+06 9.0169689867521357e+06 8.9924984266713057e+06 9.0362333106782362e+06 9.1840414521806445e+06 9.4902758167662695e+06 1.0040980223956017e+07 1.0981123397935702e+07 1.5835934589898235e+06 +1.2789096365455668e+01 4.4328810428414442e+07 4.4324304054473668e+07 4.4316623088726923e+07 4.4306235636131428e+07 4.4295128422310628e+07 4.4286622208667964e+07 4.4282292757854842e+07 4.4279555771645837e+07 4.4275605194879711e+07 4.4269610806476265e+07 4.4261580090451069e+07 4.4251236097507983e+07 4.4238133794822209e+07 4.4221798838078812e+07 4.4201718483431377e+07 4.4177276205170445e+07 4.4147731877850719e+07 4.4112218704932123e+07 4.4069723378365882e+07 4.4019055292348824e+07 4.3958824346991919e+07 4.3887382452908516e+07 4.3802485437764794e+07 4.3700280252506234e+07 4.3576439521741591e+07 4.3428793055363871e+07 4.3255093148354813e+07 4.3051724553826675e+07 4.2814251389204763e+07 4.2537662590729497e+07 4.2216409543318711e+07 4.1844426672221139e+07 4.1415183105664827e+07 4.0921780202863455e+07 4.0357112012998395e+07 3.9714095092164844e+07 3.8985994073893696e+07 3.8166845242481351e+07 3.7251991317542218e+07 3.6238704332240708e+07 3.5040192419364244e+07 3.3732170803337850e+07 3.2324170145212311e+07 3.0831629768888928e+07 2.9275942043381888e+07 2.7683769208493564e+07 2.6085537038077641e+07 2.4513176895934246e+07 2.2997418685503587e+07 2.1564945785530735e+07 2.0236157256243117e+07 1.9024252551684510e+07 1.7935192639528312e+07 1.6967491194724727e+07 1.6114544307205308e+07 1.5366826459781392e+07 1.4713090737174496e+07 1.4142065622806037e+07 1.3643053628346201e+07 1.3206938920691710e+07 1.2825454230363570e+07 1.2492098102138121e+07 1.2200890822364502e+07 1.1947495144774765e+07 1.1727651394541778e+07 1.1537811168261666e+07 1.1375217048312796e+07 1.1236990573377484e+07 1.1120357007745478e+07 1.1023277774217423e+07 1.0943243334314082e+07 1.0878395977975419e+07 1.0826616650761584e+07 1.0786063375323089e+07 1.0754252773850124e+07 1.0728774853567289e+07 1.0707810264782339e+07 1.0689644495701408e+07 1.0672612948757112e+07 1.0660596547162112e+07 1.0648474793110801e+07 1.0636111277757924e+07 1.0623163552728204e+07 1.0609807184653120e+07 1.0595660683947902e+07 1.0581185847786147e+07 1.0565111689627243e+07 1.0547908805130249e+07 1.0529260615664424e+07 1.0508919911650341e+07 1.0486586293291559e+07 1.0461921352880605e+07 1.0434441736681359e+07 1.0404192978242982e+07 1.0370046706121502e+07 1.0331762617208028e+07 1.0288785198023511e+07 1.0240516630122617e+07 1.0186340408947788e+07 1.0125638158271560e+07 1.0057728726475470e+07 9.9826949888530243e+06 9.8992371506311130e+06 9.8076363754759189e+06 9.7081045744336247e+06 9.6014224479378965e+06 9.4889183012724891e+06 9.3731204116887394e+06 9.2577935350279696e+06 9.1490912698847577e+06 9.0547722058657352e+06 8.9869655596454665e+06 8.9625764319914505e+06 9.0061657924436759e+06 9.1534821095371544e+06 9.4586974960393384e+06 1.0007569475883929e+07 1.0944584352448281e+07 1.5775830157995839e+06 +1.2794064688229927e+01 4.4202669296551630e+07 4.4198175524156429e+07 4.4190516019152872e+07 4.4180157200430393e+07 4.4169079944898710e+07 4.4160595234949388e+07 4.4156274373744816e+07 4.4153540510748349e+07 4.4149595526068166e+07 4.4143611325470708e+07 4.4135595110623166e+07 4.4125270467326142e+07 4.4112193333081387e+07 4.4095890361909933e+07 4.4075849863467902e+07 4.4051456601258978e+07 4.4021971992846601e+07 4.3986531036801517e+07 4.3944122528054476e+07 4.3893558340904824e+07 4.3833451282889143e+07 4.3762156736886397e+07 4.3677435336261317e+07 4.3575442292360291e+07 4.3451859167425193e+07 4.3304520309142932e+07 4.3131183214843832e+07 4.2928240771562152e+07 4.2691267055897415e+07 4.2415262414749801e+07 4.2094691113966227e+07 4.1723501994868711e+07 4.1295180158440687e+07 4.0802844440121420e+07 4.0239407701196998e+07 3.9597806345460229e+07 3.8871325374582887e+07 3.8054021203621566e+07 3.7141255363500521e+07 3.6130315975130968e+07 3.4934628840333924e+07 3.3629750655823953e+07 3.2225205845404763e+07 3.0736412437457949e+07 2.9184724193615600e+07 2.7596746743333302e+07 2.6002832833944328e+07 2.4434828657010932e+07 2.2923373482647639e+07 2.1495063235000972e+07 2.0170221048858523e+07 1.8961987275748629e+07 1.7876283816684656e+07 1.6911609144648492e+07 1.6061362642343884e+07 1.5316034738041082e+07 1.4664403689179145e+07 1.4095226557268118e+07 1.3597835308280380e+07 1.3163140365344439e+07 1.2782899404424457e+07 1.2450630970617566e+07 1.2160374278352510e+07 1.1907805861408258e+07 1.1688679845590945e+07 1.1499459385893777e+07 1.1337396034773327e+07 1.1199620806496939e+07 1.1083368090153905e+07 1.0986605975163558e+07 1.0906833207304291e+07 1.0842198099742644e+07 1.0790588524991941e+07 1.0750168463602846e+07 1.0718462619534157e+07 1.0693068872285219e+07 1.0672173735736767e+07 1.0654068266926264e+07 1.0637093342982821e+07 1.0625116919997571e+07 1.0613035504263386e+07 1.0600713135697862e+07 1.0587808503214097e+07 1.0574496588147622e+07 1.0560397177935919e+07 1.0545970494367469e+07 1.0529949834452614e+07 1.0512804204680473e+07 1.0494218080031980e+07 1.0473945073656388e+07 1.0451685785527812e+07 1.0427102934182676e+07 1.0399714782151904e+07 1.0369566673673244e+07 1.0335534045395525e+07 1.0297377371377412e+07 1.0254542986931279e+07 1.0206435063233715e+07 1.0152439147518361e+07 1.0091938921589911e+07 1.0024255508115236e+07 9.9494714702707585e+06 9.8662913899314683e+06 9.7749954732552022e+06 9.6757949260541219e+06 9.5694678505075462e+06 9.4573381311725527e+06 9.3419256309255809e+06 9.2269825828363281e+06 9.1186420722712670e+06 9.0246369140274059e+06 8.9570559373565856e+06 8.9327479875096697e+06 8.9761922793699019e+06 9.1230183097367100e+06 9.4272179039592743e+06 9.9742631854582094e+06 1.0908159545262074e+07 1.5715946734850660e+06 +1.2799033011004186e+01 4.4076846263809361e+07 4.4072365259616569e+07 4.4064727172755212e+07 4.4054396909330487e+07 4.4043349548842050e+07 4.4034886296557561e+07 4.4030574015714236e+07 4.4027843283070140e+07 4.4023903894409768e+07 4.4017929878204986e+07 4.4009928154832400e+07 4.3999622844958566e+07 4.3986570854781009e+07 4.3970299835306272e+07 4.3950299148378067e+07 4.3925954844965108e+07 4.3896529883521721e+07 4.3861161055518463e+07 4.3818839256014802e+07 4.3768378836167552e+07 4.3708395507047363e+07 4.3637248119061969e+07 4.3552702104433291e+07 4.3450920923042253e+07 4.3327595063337535e+07 4.3180563405177519e+07 4.3007588639438309e+07 4.2805071774220832e+07 4.2568596829700507e+07 4.2293175545155637e+07 4.1973285045894183e+07 4.1602888564405687e+07 4.1175487145117104e+07 4.0684217066125490e+07 4.0122009962033316e+07 3.9481822040137470e+07 3.8756958620777212e+07 3.7941496194921628e+07 3.7030815045767821e+07 3.6022219320342086e+07 3.4829352065023199e+07 3.3527611649954133e+07 3.2126516207585201e+07 3.0641462442235384e+07 2.9093765517157100e+07 2.7509974508669686e+07 2.5920369249846689e+07 2.4356710927163955e+07 2.2849548390286218e+07 2.1425390348139636e+07 2.0104484251002319e+07 1.8899911568911526e+07 1.7817555317538999e+07 1.6855898885601975e+07 1.6008345008766433e+07 1.5265400074135231e+07 1.4615867485087767e+07 1.4048532831393855e+07 1.3552757469769299e+07 1.3119478017211387e+07 1.2740477030133335e+07 1.2409293000072265e+07 1.2119984015806094e+07 1.1868240351840774e+07 1.1649829893785631e+07 1.1461227320501802e+07 1.1299693127735427e+07 1.1162367776490076e+07 1.1046494752795853e+07 1.0950048792525230e+07 1.0870536900201168e+07 1.0806113394213468e+07 1.0754673052983338e+07 1.0714385797136761e+07 1.0682784388000257e+07 1.0657474553405734e+07 1.0636648653376933e+07 1.0618603296979094e+07 1.0601684819230242e+07 1.0589748249900188e+07 1.0577707046340408e+07 1.0565425695882659e+07 1.0552564021171743e+07 1.0539296420097427e+07 1.0525243953068251e+07 1.0510865271598393e+07 1.0494897942615030e+07 1.0477809388501476e+07 1.0459285134560466e+07 1.0439079614114180e+07 1.0416894423743542e+07 1.0392393404737815e+07 1.0365096430783277e+07 1.0335048657589737e+07 1.0301129317756874e+07 1.0263099660144215e+07 1.0220407863124616e+07 1.0172460081233056e+07 1.0118643907092256e+07 1.0058345074105853e+07 9.9908869720824901e+06 9.9163518532023411e+06 9.8334486620926447e+06 9.7424566504967846e+06 9.6435863211787958e+06 9.5376131862196065e+06 9.4258567232437637e+06 9.3108284070896171e+06 9.1962679871592782e+06 9.0882880999210719e+06 8.9945958657645509e+06 8.9272398528869357e+06 8.9030128269302286e+06 8.9463125038784072e+06 9.0926497808158938e+06 9.3958367595094107e+06 9.9410610553371180e+06 1.0871848651188307e+07 1.5656283541148764e+06 +1.2804001333778444e+01 4.3951341274324358e+07 4.3946872651227638e+07 4.3939255889179565e+07 4.3928954131152883e+07 4.3917936597310811e+07 4.3909494756091021e+07 4.3905191046161994e+07 4.3902463450941578e+07 4.3898529662275121e+07 4.3892565826914236e+07 4.3884578585213438e+07 4.3874292592504270e+07 4.3861265721941940e+07 4.3845026620194450e+07 4.3825065700040340e+07 4.3800770298021436e+07 4.3771404911526620e+07 4.3736108122567214e+07 4.3693872923572950e+07 4.3643516139282398e+07 4.3583656380470119e+07 4.3512655960210122e+07 4.3428285102811605e+07 4.3326715504709519e+07 4.3203646569363333e+07 4.3056921702928722e+07 4.2884308781096570e+07 4.2682216920190401e+07 4.2446240068399124e+07 4.2171401339096881e+07 4.1852190695553146e+07 4.1482585736401096e+07 4.1056103420454413e+07 4.0565897434707813e+07 4.0004918148394838e+07 3.9366141528304398e+07 3.8642893163862132e+07 3.7829269567205027e+07 3.6920669714973509e+07 3.5914413718851291e+07 3.4724361445456684e+07 3.3425753140114404e+07 3.2028100589826703e+07 3.0546779146753717e+07 2.9003065385168187e+07 2.7423451885664050e+07 2.5838145679413378e+07 2.4278823114946887e+07 2.2775942834130522e+07 2.1355926569614783e+07 2.0038946327416636e+07 1.8838024916556258e+07 1.7759006648034278e+07 1.6800359943368535e+07 1.5955490950948305e+07 1.5214922029913954e+07 1.4567481702521374e+07 1.4001984037086887e+07 1.3507819717445716e+07 1.3075951492232529e+07 1.2698186733427934e+07 1.2368083825255346e+07 1.2079719677197332e+07 1.1828798265283095e+07 1.1611101194196504e+07 1.1423114632218251e+07 1.1262107991707027e+07 1.1125231151557909e+07 1.1009736666999992e+07 1.0913605900227653e+07 1.0834354089111427e+07 1.0770141539255772e+07 1.0718869914023919e+07 1.0678715056338130e+07 1.0647217760549530e+07 1.0621991578970324e+07 1.0601234700342033e+07 1.0583249269033300e+07 1.0566387061176000e+07 1.0554490220890988e+07 1.0542489103740284e+07 1.0530248643078312e+07 1.0517429791755579e+07 1.0504206366027987e+07 1.0490200695292881e+07 1.0475869865869762e+07 1.0459955700964920e+07 1.0442924043956054e+07 1.0424461467177240e+07 1.0404323221534742e+07 1.0382211897123458e+07 1.0357792454458596e+07 1.0330586373322882e+07 1.0300638621640138e+07 1.0266832215845527e+07 1.0228929177312514e+07 1.0186379521658989e+07 1.0138591380606184e+07 1.0084954385764023e+07 1.0024856315708138e+07 9.9576228202703111e+06 9.8833358417758122e+06 9.8007086737265605e+06 9.7100196165228635e+06 9.6114784720875379e+06 9.5058581704896241e+06 9.3944737962472271e+06 9.2798284623529222e+06 9.1656494736075010e+06 9.0580290816686489e+06 8.9646487926870715e+06 8.8975170398648456e+06 8.8733706846153438e+06 8.9165261990278326e+06 9.0623762514749635e+06 9.3645537823427580e+06 9.9079627889224999e+06 1.0835651345853478e+07 1.5596839800167084e+06 +1.2808969656552703e+01 4.3826152801181570e+07 4.3821696953344375e+07 4.3814101524867088e+07 4.3803828232936099e+07 4.3792840454114273e+07 4.3784419976684235e+07 4.3780124828036338e+07 4.3777400377342857e+07 4.3773472192459553e+07 4.3767518534408845e+07 4.3759545764551125e+07 4.3749279072618157e+07 4.3736277297119752e+07 4.3720070079095058e+07 4.3700148880815156e+07 4.3675902322737172e+07 4.3646596439037748e+07 4.3611371600002095e+07 4.3569222892667219e+07 4.3518969612029888e+07 4.3459233264664575e+07 4.3388379621659718e+07 4.3304183692448661e+07 4.3202825398214988e+07 4.3080013045914672e+07 4.2933594562445045e+07 4.2761342999390036e+07 4.2559675568509169e+07 4.2324196130476721e+07 4.2049939154326476e+07 4.1731407419987999e+07 4.1362592867104299e+07 4.0937028339791395e+07 4.0447884900349744e+07 3.9888131613943204e+07 3.9250764162746012e+07 3.8529128355849095e+07 3.7717340672067404e+07 3.6810818722490527e+07 3.5806898522466943e+07 3.4619656334696904e+07 3.3324174481578778e+07 3.1929958351141449e+07 3.0452361915612426e+07 2.8912623169860262e+07 2.7337178256533597e+07 2.5756161517428126e+07 2.4201164630056821e+07 2.2702556241059732e+07 2.1286671345168192e+07 1.9973606743995536e+07 1.8776326805208858e+07 1.7700637315199118e+07 1.6744991844764154e+07 1.5902800014434474e+07 1.5164600168211017e+07 1.4519245920120841e+07 1.3955579767173350e+07 1.3463021656857125e+07 1.3032560407249020e+07 1.2656028141134590e+07 1.2327003081770893e+07 1.2039580905849392e+07 1.1789479251801109e+07 1.1572493402728200e+07 1.1385120982012279e+07 1.1224640291977800e+07 1.1088210600686731e+07 1.0973093504874906e+07 1.0877276972988369e+07 1.0798284450919302e+07 1.0734282213520577e+07 1.0683178788166106e+07 1.0643155922393056e+07 1.0611762419259977e+07 1.0586619631779058e+07 1.0565931560043637e+07 1.0548005867040586e+07 1.0531199753273351e+07 1.0519342517770153e+07 1.0507381361614889e+07 1.0495181662793951e+07 1.0482405500859333e+07 1.0469226112251677e+07 1.0455267091337867e+07 1.0440983964306897e+07 1.0425122797117827e+07 1.0408147859180119e+07 1.0389746766557543e+07 1.0369675585194688e+07 1.0347637895617519e+07 1.0323299774022711e+07 1.0296184301243398e+07 1.0266336258190801e+07 1.0232642433051322e+07 1.0194865617380608e+07 1.0152457658312531e+07 1.0104828658556785e+07 1.0051370282343771e+07 9.9914723470074832e+06 9.9244627553014476e+06 9.8504231408238877e+06 9.7680711321209949e+06 9.6776840813251827e+06 9.5794710917227361e+06 9.4742025194356628e+06 9.3631890696131568e+06 9.2489255195918195e+06 9.1351267684578747e+06 9.0278647469980363e+06 8.9347954270788357e+06 8.8678872325706873e+06 8.8438212955627982e+06 8.8868330985363387e+06 9.0321974510811251e+06 9.3333686927827056e+06 9.8749680902976226e+06 1.0799567305642737e+07 1.5537614737765559e+06 +1.2813937979326962e+01 4.3701280952129275e+07 4.3696837550441027e+07 4.3689263435771182e+07 4.3679018579364158e+07 4.3668060483603761e+07 4.3659661322132967e+07 4.3655374724853344e+07 4.3652653425785288e+07 4.3648730848501466e+07 4.3642787364083625e+07 4.3634829056168906e+07 4.3624581648556776e+07 4.3611604943503074e+07 4.3595429575089328e+07 4.3575548053678177e+07 4.3551350282012835e+07 4.3522103828834221e+07 4.3486950850474685e+07 4.3444888525768176e+07 4.3394738616715118e+07 4.3335125521807976e+07 4.3264418465365626e+07 4.3180397235062167e+07 4.3079249964905091e+07 4.2956693854094580e+07 4.2810581344363011e+07 4.2638690654522866e+07 4.2437447078892872e+07 4.2202464374987200e+07 4.1928788349258848e+07 4.1610934576855198e+07 4.1242909313396066e+07 4.0818261259234034e+07 4.0330178818297505e+07 3.9771649712987505e+07 3.9135689296963200e+07 3.8415663549623646e+07 3.7605708861839250e+07 3.6701261420713976e+07 3.5699673083827540e+07 3.4515236086595990e+07 3.3222875030553147e+07 3.1832088851560272e+07 3.0358210114388667e+07 2.8822438244535733e+07 2.7251153004619583e+07 2.5674416159718830e+07 2.4123734883338992e+07 2.2629388039028708e+07 2.1217624121726468e+07 1.9908464967717610e+07 1.8714816722486548e+07 1.7642446827127624e+07 1.6689794117689053e+07 1.5850271745800417e+07 1.5114434052876206e+07 1.4471159717468018e+07 1.3909319615449835e+07 1.3418362894500734e+07 1.2989304380004892e+07 1.2614000880962940e+07 1.2286050406096742e+07 1.1999567345938178e+07 1.1750282962257162e+07 1.1534006176110135e+07 1.1347246031654391e+07 1.1187289694648834e+07 1.1051305793667914e+07 1.0936564939320615e+07 1.0841061686323963e+07 1.0762327663279390e+07 1.0698535096408559e+07 1.0647599356252227e+07 1.0607708077245228e+07 1.0576418046971019e+07 1.0551358395402094e+07 1.0530738916648069e+07 1.0512872775683550e+07 1.0496122580704896e+07 1.0484304826084785e+07 1.0472383505867196e+07 1.0460224441312918e+07 1.0447490835137986e+07 1.0434355345810531e+07 1.0420442828664426e+07 1.0406207254819429e+07 1.0390398919460839e+07 1.0373480523052087e+07 1.0355140722137164e+07 1.0335136395135740e+07 1.0313172109902240e+07 1.0288915054839000e+07 1.0261889906782059e+07 1.0232141260358896e+07 1.0198559663497452e+07 1.0160908675603606e+07 1.0118641969611231e+07 1.0071171613049487e+07 1.0017891296380559e+07 9.9581928693397082e+06 9.8914064805132821e+06 9.8176134559084922e+06 9.7355357453035619e+06 9.6454497556357421e+06 9.5475638937410414e+06 9.4426459498572238e+06 9.3320022634593341e+06 9.2181193023293130e+06 9.1046995986320432e+06 8.9977948260477912e+06 8.9050355018600095e+06 8.8383501659212653e+06 8.8143643954190649e+06 8.8572329367558509e+06 9.0021131096326690e+06 9.3022812118430063e+06 9.8420766642904114e+06 1.0763596207745116e+07 1.5478607582379289e+06 +1.2818906302101221e+01 4.3576724988258235e+07 4.3572293972986296e+07 4.3564740989824757e+07 4.3554524534140334e+07 4.3543596050531290e+07 4.3535218156783812e+07 4.3530940100725286e+07 4.3528221960344084e+07 4.3524304994428590e+07 4.3518371679915324e+07 4.3510427823960498e+07 4.3500199684177086e+07 4.3487248024856806e+07 4.3471104471841283e+07 4.3451262582258940e+07 4.3427113539292231e+07 4.3397926444296561e+07 4.3362845237236872e+07 4.3320869185989998e+07 4.3270822516299456e+07 4.3211332514657512e+07 4.3140771853834786e+07 4.3056925092916757e+07 4.2955988566798560e+07 4.2833688355533063e+07 4.2687881409960434e+07 4.2516351107314587e+07 4.2315530811589107e+07 4.2081044161646120e+07 4.1807948283044890e+07 4.1490771524516061e+07 4.1123534432891019e+07 4.0699801535600916e+07 4.0212778544447742e+07 3.9655471800605930e+07 3.9020916285298601e+07 3.8302498098810330e+07 3.7494373489790805e+07 3.6591997162640139e+07 3.5592736756483465e+07 3.4411100055908084e+07 3.3121854144226771e+07 3.1734491452030219e+07 3.0264323109663576e+07 2.8732509983472485e+07 2.7165375514319796e+07 2.5592909003259618e+07 2.4046533286759857e+07 2.2556437657216523e+07 2.1148784347367719e+07 1.9843520466779869e+07 1.8653494157162692e+07 1.7584434693028107e+07 1.6634766291088995e+07 1.5797905692642547e+07 1.5064423248772023e+07 1.4423222675162613e+07 1.3863203176679330e+07 1.3373843037774302e+07 1.2946183029151788e+07 1.2572104581511162e+07 1.2245225435580496e+07 1.1959678642475998e+07 1.1711209048393080e+07 1.1495639171883771e+07 1.1309489443734359e+07 1.1150055866643608e+07 1.1014516401086779e+07 1.0900150644044783e+07 1.0804959716518948e+07 1.0726483404633388e+07 1.0662899868129548e+07 1.0612131299879009e+07 1.0572371203629337e+07 1.0541184327299271e+07 1.0516207554162385e+07 1.0495656455104338e+07 1.0477849680429921e+07 1.0461155229445186e+07 1.0449376832158746e+07 1.0437495223169768e+07 1.0425376665672451e+07 1.0412685482020879e+07 1.0399593754518954e+07 1.0385727595499037e+07 1.0371539426045533e+07 1.0355783757108640e+07 1.0338921725198539e+07 1.0320643024079744e+07 1.0300705342134347e+07 1.0278814231409494e+07 1.0254637989072558e+07 1.0227702882903360e+07 1.0198053322013311e+07 1.0164583602042131e+07 1.0127058047983268e+07 1.0084932152811723e+07 1.0037619942748636e+07 9.9845171281369478e+06 9.9250175847583450e+06 9.8584536999629233e+06 9.7849064932815470e+06 9.7031022219797857e+06 9.6133163508623764e+06 9.5157565924801696e+06 9.4111881792290416e+06 9.3009130985764805e+06 9.1874095347653180e+06 9.0743676917285547e+06 8.9678190496069323e+06 8.8753687505914532e+06 8.8089055754864458e+06 8.7849997204579245e+06 8.8277254486828372e+06 8.9721229577939287e+06 9.2712910612010453e+06 9.8092882164316028e+06 1.0727737730105020e+07 1.5419817565010695e+06 +1.2823874624875479e+01 4.3452483977308780e+07 4.3448065471152566e+07 4.3440533572117910e+07 4.3430345461433731e+07 4.3419446519875087e+07 4.3411089845496990e+07 4.3406820320401877e+07 4.3404105345752567e+07 4.3400193994848631e+07 4.3394270846480310e+07 4.3386341432439469e+07 4.3376132543875605e+07 4.3363205905543327e+07 4.3347094133641854e+07 4.3327291830722950e+07 4.3303191458681911e+07 4.3274063649383269e+07 4.3239054124127075e+07 4.3197164237068988e+07 4.3147220674350053e+07 4.3087853606516443e+07 4.3017439150227427e+07 4.2933766628937453e+07 4.2833040566530943e+07 4.2710995912566103e+07 4.2565494121141598e+07 4.2394323719212815e+07 4.2193926127573758e+07 4.1959934850854374e+07 4.1687418315309249e+07 4.1370917622035719e+07 4.1004467583862171e+07 4.0581648526236027e+07 4.0095683435395844e+07 3.9539597232624874e+07 3.8906444482745089e+07 3.8189631357798398e+07 3.7383333909860574e+07 3.6483025302229181e+07 3.5486088894777037e+07 3.4307247598384202e+07 3.3021111180664074e+07 3.1637165514576342e+07 3.0170700269099824e+07 2.8642837762098163e+07 2.7079845171161067e+07 2.5511639446160741e+07 2.3969559253410935e+07 2.2483704525870468e+07 2.1080151471257266e+07 1.9778772710425347e+07 1.8592358599068534e+07 1.7526600423203535e+07 1.6579907895029813e+07 1.5745701403597297e+07 1.5014567321759244e+07 1.4375434374766329e+07 1.3817230046560314e+07 1.3329461695016060e+07 1.2903195974258406e+07 1.2530338872242484e+07 1.2204527808419507e+07 1.1919914441355158e+07 1.1672257162770772e+07 1.1457392048437312e+07 1.1271850881659448e+07 1.1112938475653538e+07 1.0977842094327647e+07 1.0863850293517584e+07 1.0768970740647160e+07 1.0690751354200646e+07 1.0627376209643468e+07 1.0576774301430054e+07 1.0537144985030722e+07 1.0506060944621053e+07 1.0481166793168565e+07 1.0460683861101588e+07 1.0442936267516386e+07 1.0426297386219069e+07 1.0414558223079100e+07 1.0402716200969677e+07 1.0390638023671169e+07 1.0377989129676467e+07 1.0364941026941633e+07 1.0351121080831794e+07 1.0336980167401811e+07 1.0321276999938378e+07 1.0304471155996552e+07 1.0286253363326799e+07 1.0266382117720902e+07 1.0244563952330083e+07 1.0220468269631632e+07 1.0193622923317114e+07 1.0164072137743928e+07 1.0130713944298463e+07 1.0093313431235818e+07 1.0051327905906633e+07 1.0004173347057311e+07 9.9512474786180872e+06 9.8919461960477475e+06 9.8256041184206270e+06 9.7523019599202909e+06 9.6707702715862393e+06 9.5812835791220553e+06 9.4840489029766638e+06 9.3798289257128518e+06 9.2699212964359336e+06 9.1567959417691939e+06 9.0441307760028429e+06 8.9379371491222233e+06 8.8457949074902814e+06 8.7795531974544413e+06 8.7557270075968131e+06 8.7983103699546661e+06 8.9422267268772312e+06 9.2403979632121399e+06 9.7766024529624805e+06 1.0691991551469747e+07 1.5361243919221731e+06 +1.2828842947649738e+01 4.3328557672907643e+07 4.3324151424121894e+07 4.3316640577315174e+07 4.3306480726314239e+07 4.3295611256707765e+07 4.3287275753768191e+07 4.3283014749121204e+07 4.3280302947303876e+07 4.3276397215038799e+07 4.3270484228916764e+07 4.3262569246681184e+07 4.3252379592694469e+07 4.3239477950513616e+07 4.3223397925346233e+07 4.3203635163799427e+07 4.3179583404835664e+07 4.3150514808650434e+07 4.3115576875569895e+07 4.3073773043222636e+07 4.3023932454913348e+07 4.2964688161421195e+07 4.2894419718266241e+07 4.2810921206600063e+07 4.2710405327315636e+07 4.2588615888099998e+07 4.2443418840416647e+07 4.2272607852291688e+07 4.2072632388391823e+07 4.1839135803564399e+07 4.1567197806451127e+07 4.1251372229033940e+07 4.0885708125169702e+07 4.0463801589329787e+07 3.9978892848516107e+07 3.9424025365530074e+07 3.8792273245086014e+07 3.8077062681769378e+07 3.7272589476836093e+07 3.6374345194255032e+07 3.5379728854000755e+07 3.4203678070556611e+07 3.2920645498941660e+07 3.1540110402078882e+07 3.0077340961293187e+07 2.8553420956828732e+07 2.6994561361685224e+07 2.5430606887594260e+07 2.3892812197517283e+07 2.2411188076421812e+07 2.1011724943750285e+07 1.9714221169071130e+07 1.8531409539212525e+07 1.7468943529015712e+07 1.6525218460559536e+07 1.5693658428357460e+07 1.4964865838711742e+07 1.4327794398802714e+07 1.3771399821739089e+07 1.3285218475504722e+07 1.2860342835773932e+07 1.2488703383532986e+07 1.2163957163694374e+07 1.1880274389277730e+07 1.1633426958774185e+07 1.1419264464947710e+07 1.1234330009636341e+07 1.1075937190203672e+07 1.0941282545556610e+07 1.0827663563013798e+07 1.0733094436555391e+07 1.0655131191970186e+07 1.0591963802686907e+07 1.0541528044045309e+07 1.0502029105704136e+07 1.0471047584075108e+07 1.0446235798286267e+07 1.0425820821101312e+07 1.0408132223929245e+07 1.0391548738499517e+07 1.0379848686656538e+07 1.0368046127450744e+07 1.0356008203836596e+07 1.0343401467034740e+07 1.0330396852400318e+07 1.0316622974390913e+07 1.0302529169056671e+07 1.0286878338580323e+07 1.0270128506590726e+07 1.0251971431564672e+07 1.0232166414152745e+07 1.0210420965600969e+07 1.0186405590161277e+07 1.0159649722486973e+07 1.0130197402895581e+07 1.0096950386598559e+07 1.0059674522821523e+07 1.0017828927610623e+07 9.9708315261109266e+06 9.9180820495354366e+06 9.8589784066976588e+06 9.7928574413704500e+06 9.7197995635000709e+06 9.6385396042306907e+06 9.5493511532119475e+06 9.4524405409539193e+06 9.3485679081697185e+06 9.2390265791798811e+06 9.1262782488677260e+06 9.0139885803633165e+06 8.9081488566810749e+06 8.8163137074069753e+06 8.7502927686750293e+06 8.7265459943943545e+06 8.7689874368450344e+06 8.9124241488544904e+06 9.2096016409065593e+06 9.7440190808410738e+06 1.0656357351349901e+07 1.5302885881126111e+06 +1.2833811270423997e+01 4.3204944861342013e+07 4.3200551198641106e+07 4.3193061403312884e+07 4.3182929693698063e+07 4.3172089626090199e+07 4.3163775247610889e+07 4.3159522752896070e+07 4.3156814130857512e+07 4.3152914020801201e+07 4.3147011192979120e+07 4.3139110632375523e+07 4.3128940196262792e+07 4.3116063525280915e+07 4.3100015212359548e+07 4.3080291946911655e+07 4.3056288743043751e+07 4.3027279287249066e+07 4.2992412856626004e+07 4.2950694969366990e+07 4.2900957222791940e+07 4.2841835543847017e+07 4.2771712922321185e+07 4.2688388190041766e+07 4.2588082212994978e+07 4.2466547645588838e+07 4.2321654930888325e+07 4.2151202869204074e+07 4.1951648956268452e+07 4.1718646381434515e+07 4.1447286117502049e+07 4.1132134705883451e+07 4.0767255416491933e+07 4.0346260083725438e+07 3.9862406141778141e+07 3.9308755556583136e+07 3.8678401928852387e+07 3.7964791426636741e+07 3.7162139546296880e+07 3.6265956194256388e+07 3.5273655990255810e+07 3.4100390829895414e+07 3.2820456459009197e+07 3.1443325478507400e+07 2.9984244555898800e+07 2.8464258945145801e+07 2.6909523473578516e+07 2.5349810727868527e+07 2.3816291534422968e+07 2.2338887741406597e+07 2.0943504216298800e+07 1.9649865314236660e+07 1.8470646469639096e+07 1.7411463522964600e+07 1.6470697519849228e+07 1.5641776317636244e+07 1.4915318367508797e+07 1.4280302330805011e+07 1.3725712099822672e+07 1.3241112989419932e+07 1.2817623235056983e+07 1.2447197746617129e+07 1.2123513141339086e+07 1.1840758133814421e+07 1.1594718090642290e+07 1.1381256081448704e+07 1.1196926492677437e+07 1.1039051679602360e+07 1.0904837427735291e+07 1.0791590128583292e+07 1.0697330482881457e+07 1.0619622598715071e+07 1.0556662329774236e+07 1.0506392211638000e+07 1.0467023250674244e+07 1.0436143931563389e+07 1.0411414256124919e+07 1.0391067022330968e+07 1.0373437237401078e+07 1.0356908974534966e+07 1.0345247911486182e+07 1.0333484691548053e+07 1.0321486895504545e+07 1.0308922183770789e+07 1.0295960920974469e+07 1.0282232966662582e+07 1.0268186121897284e+07 1.0252587464423707e+07 1.0235893468860734e+07 1.0217796921198936e+07 1.0198057924471786e+07 1.0176384964879081e+07 1.0152449645061839e+07 1.0125782975606577e+07 1.0096428813554794e+07 1.0063292626026984e+07 1.0026141020952282e+07 9.9844349173691999e+06 9.9375941807790734e+06 9.8850205433384962e+06 9.8261139209350012e+06 9.7602133750211988e+06 9.6873990124255065e+06 9.6064099307629410e+06 9.5175187866507340e+06 9.4209312228233777e+06 9.3174048461178094e+06 9.2082286696169414e+06 9.0958561822692491e+06 8.9839408343796246e+06 8.8784539050332289e+06 8.7869248858330026e+06 8.7211240266292859e+06 8.6974564190382939e+06 8.7397563862851076e+06 8.8827149563346393e+06 9.1789018179757707e+06 9.7115378077313304e+06 1.0620834810046382e+07 1.5244742689381503e+06 +1.2838779593198256e+01 4.3081645390597187e+07 4.3077264163565382e+07 4.3069795408657879e+07 4.3059691728429303e+07 4.3048880993047312e+07 4.3040587693586752e+07 4.3036343698190250e+07 4.3033638262886927e+07 4.3029743778563634e+07 4.3023851105050191e+07 4.3015964955819689e+07 4.3005813720749654e+07 4.2992961995955408e+07 4.2976945360798389e+07 4.2957261545994014e+07 4.2933306839153916e+07 4.2904356450917728e+07 4.2869561432923734e+07 4.2827929381048299e+07 4.2778294343338467e+07 4.2719295118994512e+07 4.2649318127373964e+07 4.2566166943963446e+07 4.2466070588008001e+07 4.2344790549188577e+07 4.2200201756357804e+07 4.2030108133323714e+07 4.1830975194037281e+07 4.1598465946753964e+07 4.1327682610171914e+07 4.1013204413609743e+07 4.0649108818100587e+07 4.0229023368941091e+07 3.9746222673959188e+07 3.9193787163775839e+07 3.8564829891322091e+07 3.7852816949129663e+07 3.7051983474631414e+07 3.6157857658718504e+07 3.5167869660508469e+07 3.3997385234813064e+07 3.2720543421794500e+07 3.1346810108708587e+07 2.9891410423602764e+07 2.8375351105608977e+07 2.6824730895588081e+07 2.5269250368404154e+07 2.3739996680608317e+07 2.2266802954544425e+07 2.0875488741523467e+07 1.9585704618591290e+07 1.8410068883579686e+07 1.7354159918584876e+07 1.6416344606130233e+07 1.5590054623157227e+07 1.4865924477024894e+07 1.4232957755245660e+07 1.3680166479346266e+07 1.3197144847870078e+07 1.2775036794378472e+07 1.2405821593609521e+07 1.2083195382149415e+07 1.1801365323377654e+07 1.1556130213414341e+07 1.1343366558758629e+07 1.1159639996624447e+07 1.1002281613953969e+07 1.0868506414625827e+07 1.0755629667065160e+07 1.0661678559029076e+07 1.0584225255971020e+07 1.0521471474177083e+07 1.0471366488891762e+07 1.0432127105729289e+07 1.0401349673753873e+07 1.0376701854074178e+07 1.0356422152767068e+07 1.0338850996444948e+07 1.0322377783318954e+07 1.0310755586926796e+07 1.0299031582963509e+07 1.0287073788717093e+07 1.0274550970334038e+07 1.0261632923478708e+07 1.0247950748894865e+07 1.0233950717598492e+07 1.0218404069576379e+07 1.0201765735433428e+07 1.0183729525426602e+07 1.0164056342431879e+07 1.0142455644599918e+07 1.0118600129463963e+07 1.0092022378612174e+07 1.0062766066530507e+07 1.0029740360390060e+07 9.9927126245373916e+06 9.9511455753776655e+06 9.9044610126415044e+06 9.8520626631971225e+06 9.7933524436889701e+06 9.7276716262807343e+06 9.6551000157907940e+06 9.5743809627051521e+06 9.4857861936318204e+06 9.3895206656930987e+06 9.2863394597677346e+06 9.1775272912440002e+06 9.0655294688319769e+06 8.9539872682643514e+06 8.8488520275592804e+06 8.7576281789259538e+06 8.6920467094302457e+06 8.6684580203586575e+06 8.7106169558276292e+06 8.8530988825747315e+06 9.1482982187944241e+06 9.6791583420054875e+06 1.0585423608626632e+07 1.5186813585181823e+06 +1.2843747915972514e+01 4.2958658845512539e+07 4.2954289569090649e+07 4.2946841926010609e+07 4.2936766196075372e+07 4.2925984722662501e+07 4.2917712458829895e+07 4.2913476952159092e+07 4.2910774710484251e+07 4.2906885855336517e+07 4.2901003332029030e+07 4.2893131583856694e+07 4.2882999533003949e+07 4.2870172729358330e+07 4.2854187737264901e+07 4.2834543327584766e+07 4.2810637059630118e+07 4.2781745666099831e+07 4.2747021970658787e+07 4.2705475644365251e+07 4.2655943182446279e+07 4.2597066252660707e+07 4.2527234698956095e+07 4.2444256833748251e+07 4.2344369817488126e+07 4.2223343963690683e+07 4.2079058681269459e+07 4.1909323008632474e+07 4.1710610465145431e+07 4.1478593862491354e+07 4.1208386646764204e+07 4.0894580713889427e+07 4.0531267690958954e+07 4.0112090805195980e+07 3.9630341804567739e+07 3.9079119545796469e+07 3.8451556490549006e+07 3.7741138606750242e+07 3.6942120619057015e+07 3.6050048944864333e+07 3.5062369222608797e+07 3.3894660644605383e+07 3.2620905749142908e+07 3.1250563658628423e+07 2.9798837936075389e+07 2.8286696817787595e+07 2.6740183017557982e+07 2.5188925211741172e+07 2.3663927053688422e+07 2.2194933150623407e+07 2.0807677973158397e+07 1.9521738555920772e+07 1.8349676275302701e+07 1.7297032230529685e+07 1.6362159253638396e+07 1.5538492897713926e+07 1.4816683737141503e+07 1.4185760257589253e+07 1.3634762559809484e+07 1.3153313662883960e+07 1.2732583136891965e+07 1.2364574557518233e+07 1.2043003527778462e+07 1.1762095607221873e+07 1.1517662982990140e+07 1.1305595558531065e+07 1.1122470188103762e+07 1.0965626664169963e+07 1.0832289180761823e+07 1.0719781856071634e+07 1.0626138345190860e+07 1.0548938846059814e+07 1.0486390919953100e+07 1.0436450561248865e+07 1.0397340357418293e+07 1.0366664498071611e+07 1.0342098280274721e+07 1.0321885901146537e+07 1.0304373190312361e+07 1.0287954854595654e+07 1.0276371403070899e+07 1.0264686492151514e+07 1.0252768574287701e+07 1.0240287517908270e+07 1.0227412551496176e+07 1.0213776013068687e+07 1.0199822648557933e+07 1.0184327846926279e+07 1.0167744999682963e+07 1.0149768938153835e+07 1.0130161362546425e+07 1.0108632699904740e+07 1.0084856739248374e+07 1.0058367628183434e+07 1.0029208859377429e+07 9.9962932882362381e+06 9.9593890332472548e+06 9.9179606025314573e+06 9.8714317240110468e+06 9.8192081129922699e+06 9.7606936806092318e+06 9.6952319027749058e+06 9.6229022833963614e+06 9.5424524122931194e+06 9.4541530890512727e+06 9.3582085873468257e+06 9.2553714700174537e+06 9.1469221682192273e+06 9.0352978360799942e+06 8.9241276129176617e+06 8.8193429583064895e+06 8.7284233234492224e+06 8.6630605558199305e+06 8.6395505378141776e+06 8.6815688836621195e+06 8.8235756614994314e+06 9.1177905684092920e+06 9.6468803927564994e+06 1.0550123428925751e+07 1.5129097812249498e+06 +1.2848716238746773e+01 4.2835984180304773e+07 4.2831627012570441e+07 4.2824200304541118e+07 4.2814152463458784e+07 4.2803400180397071e+07 4.2795148910994403e+07 4.2790921882513180e+07 4.2788222841319472e+07 4.2784339618724957e+07 4.2778467241479702e+07 4.2770609884017408e+07 4.2760497000411324e+07 4.2747695092771232e+07 4.2731741709078543e+07 4.2712136658908315e+07 4.2688278771568768e+07 4.2659446299672134e+07 4.2624793836761758e+07 4.2583333125988118e+07 4.2533903106757134e+07 4.2475148311212562e+07 4.2405462003306001e+07 4.2322657225325875e+07 4.2222979267093025e+07 4.2102207254513860e+07 4.1958225070548758e+07 4.1788846859699897e+07 4.1590554133777685e+07 4.1359029492258966e+07 4.1089397590312384e+07 4.0776262969093688e+07 4.0413731396744899e+07 3.9995461753433995e+07 3.9514762893717244e+07 3.8964752062124811e+07 3.8338581085287914e+07 3.7629755757797912e+07 3.6832550337561294e+07 3.5942529410773426e+07 3.4957154035276346e+07 3.3792216419458963e+07 3.2521542803886395e+07 3.1154585495065179e+07 2.9706526466043361e+07 2.8198295462356403e+07 2.6655879230418883e+07 2.5108834661517128e+07 2.3588082072393574e+07 2.2123277765628722e+07 2.0740071366090223e+07 1.9457966601131093e+07 1.8289468140232068e+07 1.7240079974527203e+07 1.6308140997723093e+07 1.5487090695098696e+07 1.4767595718736248e+07 1.4138709424273033e+07 1.3589499941653963e+07 1.3109619047417240e+07 1.2690261886656282e+07 1.2323456272216616e+07 1.2002937220744332e+07 1.1722948635449149e+07 1.1479316056074923e+07 1.1267942743227944e+07 1.1085416734548088e+07 1.0929086501955826e+07 1.0796185401481375e+07 1.0684046374017522e+07 1.0590709522324152e+07 1.0513763052059343e+07 1.0451420351913629e+07 1.0401644114903152e+07 1.0362662693044847e+07 1.0332088092715401e+07 1.0307603223628506e+07 1.0287457956965772e+07 1.0270003509023674e+07 1.0253639878888264e+07 1.0242095050770050e+07 1.0230449110313613e+07 1.0218570943780741e+07 1.0206131518434441e+07 1.0193299497358976e+07 1.0179708451927928e+07 1.0165801607942620e+07 1.0150358490100520e+07 1.0133830955733513e+07 1.0115914854041610e+07 1.0096372680058854e+07 1.0074915826700259e+07 1.0051219171021888e+07 1.0024818421729570e+07 9.9957568903844487e+06 9.9629511088458337e+06 9.9261699474640787e+06 9.8848797004787475e+06 9.8385060179245695e+06 9.7864565973279197e+06 9.7281373380561378e+06 9.6628939128468130e+06 9.5908055257579833e+06 9.5106239924470112e+06 9.4226191885014456e+06 9.3269947062460743e+06 9.2245005984258223e+06 9.1164130253710337e+06 9.0051610122068115e+06 8.8943615998519994e+06 8.7899264319562335e+06 8.6993100568345338e+06 8.6341653051986210e+06 8.6107337114950325e+06 8.6526119086153358e+06 8.7941450276599210e+06 9.0873785925131757e+06 9.6147036697669029e+06 1.0514933953566035e+07 1.5071594616827776e+06 +1.2853684561521032e+01 4.2713620555634044e+07 4.2709275876388699e+07 4.2701869915661722e+07 4.2691849898223296e+07 4.2681126732409380e+07 4.2672896418376401e+07 4.2668677857647322e+07 4.2665982023696318e+07 4.2662104436987609e+07 4.2656242201559916e+07 4.2648399224378623e+07 4.2638305491015233e+07 4.2625528454135835e+07 4.2609606644048989e+07 4.2590040907706603e+07 4.2566231342642695e+07 4.2537457719263718e+07 4.2502876398602456e+07 4.2461501193310037e+07 4.2412173483414203e+07 4.2353540661651671e+07 4.2283999407157570e+07 4.2201367485276617e+07 4.2101898303188488e+07 4.1981379787614681e+07 4.1837700289932519e+07 4.1668679051781312e+07 4.1470805564665943e+07 4.1239772200244635e+07 4.0970714804484993e+07 4.0658250542224407e+07 4.0296499297794558e+07 3.9879135575246789e+07 3.9399485302335575e+07 3.8850684072912663e+07 3.8225903035141557e+07 3.7518667761294149e+07 3.6723271988936216e+07 3.5835298415423386e+07 3.4852223458063468e+07 3.3690051920455568e+07 3.2422453949725714e+07 3.1058874985926136e+07 2.9614475387242679e+07 2.8110146421021376e+07 2.6571818926158957e+07 2.5028978122474045e+07 2.3512461156619575e+07 2.2051836236652710e+07 2.0672668376325838e+07 1.9394388230248906e+07 1.8229443974887833e+07 1.7183302667388596e+07 1.6254289374762602e+07 1.5435847570145361e+07 1.4718659993689466e+07 1.4091804842701426e+07 1.3544378226264164e+07 1.3066060615343263e+07 1.2648072668618476e+07 1.2282466372447802e+07 1.1962996104413273e+07 1.1683924058982799e+07 1.1441089090210257e+07 1.1230407776132144e+07 1.1048479304214576e+07 1.0892660799798181e+07 1.0760194752912678e+07 1.0648422900075154e+07 1.0555391772165986e+07 1.0478697557828631e+07 1.0416559455637055e+07 1.0366946836852424e+07 1.0328093800688120e+07 1.0297620146616424e+07 1.0273216373776974e+07 1.0253138010467796e+07 1.0235741643347517e+07 1.0219432547440408e+07 1.0207926221639384e+07 1.0196319129416717e+07 1.0184480589518026e+07 1.0172082664591791e+07 1.0159293454133268e+07 1.0145747758944025e+07 1.0131887289646797e+07 1.0116495693455646e+07 1.0100023298439590e+07 1.0082166968494836e+07 1.0062689990983827e+07 1.0041304721625192e+07 1.0017687122145791e+07 9.9913744573940840e+06 9.9624098585748561e+06 9.9297135222289469e+06 9.8930550683196858e+06 9.8519025715697967e+06 9.8056835981304236e+06 9.7538078215319347e+06 9.6956831231239885e+06 9.6306573655252904e+06 9.5588094540976416e+06 9.4788954168133195e+06 9.3911842082569879e+06 9.2958787415664699e+06 9.1937265672482736e+06 9.0859995882013608e+06 8.9751187260544952e+06 8.8646889612664916e+06 8.7606021838344242e+06 8.6702881171301138e+06 8.6053606975843068e+06 8.5820072821385730e+06 8.6237457701575775e+06 8.7648067162601575e+06 9.0570620174850933e+06 9.5826278835331909e+06 1.0479854865946524e+07 1.5014303247673004e+06 +1.2858652884295291e+01 4.2591567660105370e+07 4.2587235434866577e+07 4.2579850119481847e+07 4.2569857868507735e+07 4.2559163745960407e+07 4.2550954349795550e+07 4.2546744246540911e+07 4.2544051626483813e+07 4.2540179678971298e+07 4.2534327581027627e+07 4.2526498973627448e+07 4.2516424373430006e+07 4.2503672182018302e+07 4.2487781910682581e+07 4.2468255442391336e+07 4.2444494141109854e+07 4.2415779293030217e+07 4.2381269024314612e+07 4.2339979214204594e+07 4.2290753680168211e+07 4.2232242671635687e+07 4.2162846278016590e+07 4.2080386980856135e+07 4.1981126292672396e+07 4.1860860929662511e+07 4.1717483705637880e+07 4.1548818950813696e+07 4.1351364123288222e+07 4.1120821351425581e+07 4.0852337653611347e+07 4.0540542797039181e+07 4.0179570757161804e+07 3.9763111633033641e+07 3.9284508392060503e+07 3.8736914939158306e+07 3.8113521700405963e+07 3.7407873977118984e+07 3.6614284932848409e+07 3.5728355318533167e+07 3.4747576851487026e+07 3.3588166509643398e+07 3.2323638551392052e+07 3.0963431499980431e+07 2.9522684074426673e+07 2.8022249076544777e+07 2.6488001497906487e+07 2.4949355000476103e+07 2.3437063727316994e+07 2.1980608001918480e+07 2.0605468460993502e+07 1.9331002920452602e+07 1.8169603276888490e+07 1.7126699827027582e+07 1.6200603922197802e+07 1.5384763078698156e+07 1.4669876134866403e+07 1.4045046101232482e+07 1.3499397015952369e+07 1.3022637981437821e+07 1.2606015108637974e+07 1.2241604493835909e+07 1.1923179823015518e+07 1.1645021529629540e+07 1.1402981743765134e+07 1.1192990321344536e+07 1.1011657566136787e+07 1.0856349230993155e+07 1.0724316911946498e+07 1.0612911114207854e+07 1.0520184777229112e+07 1.0443742047986491e+07 1.0381807917468673e+07 1.0332358414801184e+07 1.0293633369175602e+07 1.0263260349482231e+07 1.0238937421155484e+07 1.0218925752660407e+07 1.0201587284800021e+07 1.0185332552269978e+07 1.0173864608019752e+07 1.0162296242150638e+07 1.0150497204546461e+07 1.0138140649836136e+07 1.0125394115637124e+07 1.0111893628356511e+07 1.0098079388319805e+07 1.0082739152109217e+07 1.0066321723429987e+07 1.0048524977658208e+07 1.0029112992023872e+07 1.0007799082054639e+07 9.9842602907106634e+06 9.9580354340608492e+06 9.9291674637021311e+06 9.8965802291248050e+06 9.8600440976366904e+06 9.8190289188939948e+06 9.7729641691216007e+06 9.7212614916449934e+06 9.6633307436014153e+06 9.5985219705860876e+06 9.5269137803197019e+06 9.4472663997074999e+06 9.3598478652885910e+06 9.2648604131562430e+06 9.1630490993944705e+06 9.0556815828771964e+06 8.9451707071440835e+06 8.8351094299958926e+06 8.7313699499252681e+06 8.6413572430405505e+06 8.5766464736201670e+06 8.5533709910920691e+06 8.5949702083885483e+06 8.7355604631505404e+06 9.0268405703683142e+06 9.5506527452626191e+06 1.0444885850210313e+07 1.4957222956046995e+06 +1.2863621207069549e+01 4.2469825012074858e+07 4.2465504896119542e+07 4.2458140254811555e+07 4.2448175743504345e+07 4.2437510589808382e+07 4.2429322074703410e+07 4.2425120418733932e+07 4.2422431019198120e+07 4.2418564714057609e+07 4.2412722749253325e+07 4.2404908501069367e+07 4.2394853016920485e+07 4.2382125645591162e+07 4.2366266878058709e+07 4.2346779631955288e+07 4.2323066535956487e+07 4.2294410389825493e+07 4.2259971082593799e+07 4.2218766557284527e+07 4.2169643065504067e+07 4.2111253709376156e+07 4.2042001983932719e+07 4.1959715079874128e+07 4.1860662603176303e+07 4.1740650047980838e+07 4.1597574684682786e+07 4.1429265923250526e+07 4.1232229175687492e+07 4.1002176311341740e+07 4.0734265502708226e+07 4.0423139097873025e+07 4.0062945138602272e+07 3.9647389289799020e+07 3.9169831525183462e+07 3.8623444022466987e+07 3.8001436442156188e+07 3.7297373765872121e+07 3.6505588529711857e+07 3.5621699480764419e+07 3.4643213576813668e+07 3.3486559549888548e+07 3.2225095974532250e+07 3.0868254407112610e+07 2.9431151903362472e+07 2.7934602812744502e+07 2.6404426339834210e+07 2.4869964702488136e+07 2.3361889206625808e+07 2.1909592500808146e+07 2.0538471078392938e+07 1.9267810149992701e+07 1.8109945544971295e+07 1.7070270972392261e+07 1.6147084178535031e+07 1.5333836777657120e+07 1.4621243716153206e+07 1.3998432789221533e+07 1.3454555913985763e+07 1.2979350761406656e+07 1.2564088833436666e+07 1.2200870272881813e+07 1.1883488021635976e+07 1.1606240699974848e+07 1.1364993675929515e+07 1.1155690043752193e+07 1.0974951190164518e+07 1.0820151469624463e+07 1.0688551556269750e+07 1.0577510697137501e+07 1.0485088220789999e+07 1.0408896207930245e+07 1.0347165424524119e+07 1.0297878537266809e+07 1.0259281088098332e+07 1.0229008391772464e+07 1.0204766056911161e+07 1.0184820875301568e+07 1.0167540125651198e+07 1.0151339586130273e+07 1.0139909903025022e+07 1.0128380141982576e+07 1.0116620482689375e+07 1.0104305168324172e+07 1.0091601176449616e+07 1.0078145755141322e+07 1.0064377599356327e+07 1.0049088561914958e+07 1.0032725927038129e+07 1.0014988578420509e+07 9.9956413806738332e+06 9.9743986061116755e+06 9.9509383755298611e+06 9.9248010513537228e+06 9.8960294062535409e+06 9.8635509310009908e+06 9.8271367380025759e+06 9.7862584462531619e+06 9.7403474360909574e+06 9.6888173144300282e+06 9.6310799079907667e+06 9.5664874384793062e+06 9.4951182170564383e+06 9.4157366561570857e+06 9.3286098772633690e+06 9.2339394415222872e+06 9.1324679184651449e+06 9.0254587362309080e+06 8.9153166856373604e+06 8.8056227395312376e+06 8.7022294668390453e+06 8.6125171738949288e+06 8.5480223746005595e+06 8.5248245803448204e+06 8.5662849640448149e+06 8.7064060048208777e+06 8.9967139788634311e+06 9.5187779668504037e+06 1.0410026591301322e+07 1.4900352995709393e+06 +1.2868589529843808e+01 4.2348391643395990e+07 4.2344083644582137e+07 4.2336739700836688e+07 4.2326802894500211e+07 4.2316166634322651e+07 4.2307998963127978e+07 4.2303805744517870e+07 4.2301119571978472e+07 4.2297258912341788e+07 4.2291427076183930e+07 4.2283627176630549e+07 4.2273590791307807e+07 4.2260888214620851e+07 4.2245060915882029e+07 4.2225612846013740e+07 4.2201947896648169e+07 4.2173350379052974e+07 4.2138981942759514e+07 4.2097862591713808e+07 4.2048841008436985e+07 4.1990573143791817e+07 4.1921465893562697e+07 4.1839351150784053e+07 4.1740506602885999e+07 4.1620746510468371e+07 4.1477972594615936e+07 4.1310019336335845e+07 4.1113400088596337e+07 4.0883836446204931e+07 4.0616497717427045e+07 4.0306038809853941e+07 3.9946621806491494e+07 3.9531967909287207e+07 3.9055454064838134e+07 3.8510270685315013e+07 3.7889646622232236e+07 3.7187166489017390e+07 3.6397182140795216e+07 3.5515330263560861e+07 3.4539132996281981e+07 3.3385230405049495e+07 3.2126825585692223e+07 3.0773343078060798e+07 2.9339878250828538e+07 2.7847207014494509e+07 2.6321092847231604e+07 2.4790806636627030e+07 2.3286937017783597e+07 2.1838789173804730e+07 2.0471675687935397e+07 1.9204809398311231e+07 1.8050470278960742e+07 1.7014015623563830e+07 1.6093729683307145e+07 1.5283068224919112e+07 1.4572762312406961e+07 1.3951964496964453e+07 1.3409854524578385e+07 1.2936198571874943e+07 1.2522293470655255e+07 1.2160263346954145e+07 1.1843920346202558e+07 1.1567581223489482e+07 1.1327124546717929e+07 1.1118506609088711e+07 1.0938359846948054e+07 1.0784067190562431e+07 1.0652898364367226e+07 1.0542221330398308e+07 1.0450101786909282e+07 1.0374159723808620e+07 1.0312631664665896e+07 1.0263506893487228e+07 1.0225036647793721e+07 1.0194863964697002e+07 1.0170701972971849e+07 1.0150823070895130e+07 1.0133599858934147e+07 1.0117453342539957e+07 1.0106061800513405e+07 1.0094570523112677e+07 1.0082850118499389e+07 1.0070575915003331e+07 1.0057914331874108e+07 1.0044503835010415e+07 1.0030781618888879e+07 1.0015543619464271e+07 9.9992356063526459e+06 9.9815574684085567e+06 9.9622748551339470e+06 9.9411029926370941e+06 9.9177210761711877e+06 9.8916710096124355e+06 9.8629953874468356e+06 9.8306253300587386e+06 9.7943326927139200e+06 9.7535908581923805e+06 9.7078331049499586e+06 9.6564749973522890e+06 9.5989303255077787e+06 9.5345534803653266e+06 9.4634224776226487e+06 9.3843059018789623e+06 9.2974699625164308e+06 9.2031155478832312e+06 9.1019827487397641e+06 8.9953307757713273e+06 8.8855563923597299e+06 8.7762286240014117e+06 8.6731804718363471e+06 8.5837676496651229e+06 8.5194881424350850e+06 8.4963677925169133e+06 8.5376897784804869e+06 8.6773430784004573e+06 8.9666819713381901e+06 9.4870032609139010e+06 1.0375276774900047e+07 1.4843692622910014e+06 +1.2873557852618067e+01 4.2227266987995066e+07 4.2222971214819752e+07 4.2215647885955542e+07 4.2205738694458343e+07 4.2195131251533002e+07 4.2186984385774173e+07 4.2182799594689928e+07 4.2180116655512199e+07 4.2176261644486725e+07 4.2170439932462327e+07 4.2162654370853476e+07 4.2152637067070253e+07 4.2139959259522609e+07 4.2124163394469194e+07 4.2104754454800405e+07 4.2081137593347512e+07 4.2052598630734980e+07 4.2018300974687599e+07 4.1977266687301770e+07 4.1928346878624946e+07 4.1870200344316997e+07 4.1801237376237392e+07 4.1719294562702775e+07 4.1620657660684392e+07 4.1501149685685329e+07 4.1358676803635791e+07 4.1191078557855658e+07 4.0994876229441375e+07 4.0765801122984193e+07 4.0499033664168693e+07 4.0189241298731729e+07 3.9830600125977956e+07 3.9416846855999500e+07 3.8941375374795087e+07 3.8397394290793628e+07 3.7778151603260085e+07 3.7077251508790322e+07 3.6289065128162883e+07 3.5409247029244125e+07 3.4435334472978167e+07 3.3284178439857833e+07 3.2028826752452075e+07 3.0678696884640433e+07 2.9248862494664341e+07 2.7760061067734718e+07 2.6238000416429803e+07 2.4711880212042902e+07 2.3212206585173868e+07 2.1768197462550983e+07 2.0405081750134014e+07 1.9142000145882752e+07 1.7991176979765497e+07 1.6957933301659122e+07 1.6040539977125073e+07 1.5232456979401451e+07 1.4524431499478551e+07 1.3905640815731080e+07 1.3365292452856749e+07 1.2893181030361950e+07 1.2480628648816021e+07 1.2119783354284143e+07 1.1804476443503687e+07 1.1529042754451353e+07 1.1289374016970351e+07 1.1081439683871856e+07 1.0901883207936069e+07 1.0748096069476407e+07 1.0617357015477197e+07 1.0507042696271323e+07 1.0415225160403999e+07 1.0339532282548139e+07 1.0278206326536693e+07 1.0229243173473548e+07 1.0190899739369262e+07 1.0160826760224311e+07 1.0136744861998282e+07 1.0116932032699807e+07 1.0099766178416247e+07 1.0083673515738891e+07 1.0072319995082472e+07 1.0060867080486124e+07 1.0049185807279183e+07 1.0036952585545015e+07 1.0024333277981007e+07 1.0010967564435054e+07 9.9972911437923610e+06 9.9821040220997818e+06 9.9658504592173621e+06 9.9482313459854238e+06 9.9290131143594794e+06 9.9079119412175417e+06 9.8846080929263700e+06 9.8586450099269021e+06 9.8300651092254203e+06 9.7978031292144284e+06 9.7616316657810621e+06 9.7210258599541634e+06 9.6754208823361974e+06 9.6242342486040965e+06 9.5668817060850095e+06 9.5027198081244305e+06 9.4318262760425527e+06 9.3529738532836009e+06 9.2664278400944155e+06 9.1723884541252106e+06 9.0715933151465338e+06 8.9652974296573363e+06 8.8558895587976109e+06 8.7469268182116505e+06 8.6442227028214689e+06 8.5551084109456409e+06 8.4910435196730047e+06 8.4680003708467968e+06 8.5091843937036507e+06 8.6483714216720220e+06 8.9367442768366784e+06 9.4553283407535888e+06 1.0340636087483838e+07 1.4787241096381259e+06 +1.2878526175392325e+01 4.2106450710371040e+07 4.2102166970140301e+07 4.2094864210163489e+07 4.2084982516216777e+07 4.2074403814891472e+07 4.2066277713947326e+07 4.2062101340724699e+07 4.2059421641170226e+07 4.2055572281776659e+07 4.2049760689287655e+07 4.2041989454899810e+07 4.2031991215303130e+07 4.2019338151311569e+07 4.2003573684729487e+07 4.1984203829211496e+07 4.1960634996841669e+07 4.1932154515568174e+07 4.1897927548984259e+07 4.1856978214484468e+07 4.1808160046339035e+07 4.1750134681130238e+07 4.1681315801872604e+07 4.1599544685360290e+07 4.1501115146081828e+07 4.1381858942850009e+07 4.1239686680669643e+07 4.1072442956341408e+07 4.0876656966259860e+07 4.0648069709155060e+07 4.0381872709957495e+07 4.0072745930945911e+07 3.9714879462917171e+07 3.9302025495083384e+07 3.8827594819572248e+07 3.8284814202880703e+07 3.7666950748618461e+07 3.6967628188135125e+07 3.6181236854682259e+07 3.5303449140929610e+07 3.4331817370848805e+07 3.3183403019990146e+07 3.1931098843270086e+07 3.0584315199624199e+07 2.9158104013725162e+07 2.7673164359463081e+07 2.6155148444884147e+07 2.4633184839078017e+07 2.3137697334273767e+07 2.1697816809825297e+07 2.0338688726670273e+07 1.9079381874359477e+07 1.7932065149457905e+07 1.6902023528893583e+07 1.5987514601633605e+07 1.5182002601078678e+07 1.4476250854234150e+07 1.3859461337756813e+07 1.3320869304901708e+07 1.2850297755306147e+07 1.2439093997320989e+07 1.2079429933983434e+07 1.1765155961180536e+07 1.1490624947995044e+07 1.1251741748337356e+07 1.1044488935431207e+07 1.0865520945360152e+07 1.0712237782811854e+07 1.0581927189639213e+07 1.0471974477818893e+07 1.0380458026868314e+07 1.0305013571830580e+07 1.0243889099509066e+07 1.0195087067999328e+07 1.0156870054676080e+07 1.0126896471062014e+07 1.0102894417427726e+07 1.0083147454725213e+07 1.0066038778619580e+07 1.0049999800749192e+07 1.0038684182076532e+07 1.0027269509792682e+07 1.0015627245075520e+07 1.0003434876359098e+07 9.9908577115453314e+06 9.9775366406149417e+06 9.9639058716709763e+06 9.9487694678890370e+06 9.9325701841771509e+06 9.9150099102501813e+06 9.8958558580173496e+06 9.8748251521809418e+06 9.8515991268208977e+06 9.8257227540940326e+06 9.7972382742654253e+06 9.7650840321303252e+06 9.7290333619584888e+06 9.6885631575119756e+06 9.6431104756058939e+06 9.5920947770770304e+06 9.5349337603497114e+06 9.4709861343318578e+06 9.4003293270328399e+06 9.3217402274737470e+06 9.2354832297174241e+06 9.1417578828093875e+06 9.0412993433104586e+06 8.9353584267212134e+06 8.8263159170898404e+06 8.7177170575832911e+06 8.6153558983320519e+06 8.5265391989844628e+06 8.4626882494868319e+06 8.4397220592152216e+06 8.4807685523249749e+06 8.6194907730508856e+06 8.9069006250405516e+06 9.4237529203850552e+06 1.0306104216279650e+07 1.4730997677330552e+06 +1.2883494498166584e+01 4.1985941938436575e+07 4.1981670276281960e+07 4.1974388030303232e+07 4.1964533730643243e+07 4.1953983698807471e+07 4.1945878319612242e+07 4.1941710354671262e+07 4.1939033900955349e+07 4.1935190196124300e+07 4.1929388718496501e+07 4.1921631800563104e+07 4.1911652607698053e+07 4.1899024261645034e+07 4.1883291158293165e+07 4.1863960340663329e+07 4.1840439478500046e+07 4.1812017404837757e+07 4.1777861036837809e+07 4.1736996544311158e+07 4.1688279882528029e+07 4.1630375524991699e+07 4.1561700541075222e+07 4.1480100889117107e+07 4.1381878429137982e+07 4.1262873651856109e+07 4.1121001595212519e+07 4.0954111900925964e+07 4.0758741667764403e+07 4.0530641573056541e+07 4.0265014222499482e+07 3.9956552073656365e+07 3.9599459183808684e+07 3.9187503192459479e+07 3.8714111764439926e+07 3.8172529786218703e+07 3.7556043422468968e+07 3.6858295890892170e+07 3.6073696684122860e+07 3.5197935962684087e+07 3.4228581054719508e+07 3.3082903512015417e+07 3.1833641227611035e+07 3.0490197396801963e+07 2.9067602187873244e+07 2.7586516277732387e+07 2.6072536331135791e+07 2.4554719929128431e+07 2.3063408691733580e+07 2.1627646659496613e+07 2.0272496080354318e+07 1.9016954066523574e+07 1.7873134291122906e+07 1.6846285828547090e+07 1.5934653099520452e+07 1.5131704650905319e+07 1.4428219954501973e+07 1.3813425656227782e+07 1.3276584687723307e+07 1.2807548366066735e+07 1.2397689146476794e+07 1.2039202726028098e+07 1.1725958547717631e+07 1.1452327460077312e+07 1.1214227403285401e+07 1.1007654031915551e+07 1.0829272732264545e+07 1.0676492007804971e+07 1.0546608567667639e+07 1.0437016358875301e+07 1.0345800072654959e+07 1.0270603280102691e+07 1.0209679673755739e+07 1.0161038268584773e+07 1.0122947286324341e+07 1.0093072790698407e+07 1.0069150333417745e+07 1.0049469031727321e+07 1.0032417354796022e+07 1.0016431893317938e+07 1.0005154057588199e+07 9.9937775074755549e+06 9.9821741286699865e+06 9.9700224846053366e+06 9.9574873301245458e+06 9.9442107614855692e+06 9.9306255009000953e+06 9.9155396556522958e+06 9.8993944805549867e+06 9.8818928610299025e+06 9.8628027865345366e+06 9.8418423265743405e+06 9.8186938796048127e+06 9.7929039446615018e+06 9.7645145859641377e+06 9.7324677431693841e+06 9.6965374867027197e+06 9.6562024575544782e+06 9.6109015928207673e+06 9.5600562923976816e+06 9.5030861996515635e+06 9.4393521722589228e+06 9.3689313460069783e+06 9.2906047422442436e+06 9.2046358517832253e+06 9.1112235571794715e+06 9.0111005595134366e+06 8.9055134964561779e+06 8.7968352000261582e+06 8.6885990782014281e+06 8.5865797975506969e+06 8.4980597556435671e+06 8.4344220756880753e+06 8.4115326021095291e+06 8.4524419976131488e+06 8.5907008715865295e+06 8.8771507463052869e+06 9.3922767145043425e+06 1.0271680849278441e+07 1.4674961629432715e+06 +1.2888462820940843e+01 4.1865740043275505e+07 4.1861480416125722e+07 4.1854218677443773e+07 4.1844391707532398e+07 4.1833870278308488e+07 4.1825785575408220e+07 4.1821626009249307e+07 4.1818952807448044e+07 4.1815114760065660e+07 4.1809323392579392e+07 4.1801580780174688e+07 4.1791620616627410e+07 4.1779016962756239e+07 4.1763315187308215e+07 4.1744023361326009e+07 4.1720550410358213e+07 4.1692186670453928e+07 4.1658100810020842e+07 4.1617321048486032e+07 4.1568705758743539e+07 4.1510922247268006e+07 4.1442390965042695e+07 4.1360962544995181e+07 4.1262946880708180e+07 4.1144193183129728e+07 4.1002620917421743e+07 4.0836084761399604e+07 4.0641129703322485e+07 4.0413516083523132e+07 4.0148457570147604e+07 3.9840659094688408e+07 3.9484338655902483e+07 3.9073279314728782e+07 3.8600925575403303e+07 3.8060540406218849e+07 3.7445428989704274e+07 3.6749253981692038e+07 3.5966443980976008e+07 3.5092706859284155e+07 3.4125624890379347e+07 3.2982679283409905e+07 3.1736453275859214e+07 3.0396342850876287e+07 2.8977356397980295e+07 2.7500116211654443e+07 2.5990163474800356e+07 2.4476484894710045e+07 2.2989340085273493e+07 2.1557686456601281e+07 2.0206503275101732e+07 1.8954716206216872e+07 1.7814383909043476e+07 1.6790719725006435e+07 1.5881955014544725e+07 1.5081562690853121e+07 1.4380338379116839e+07 1.3767533365311939e+07 1.3232438209272172e+07 1.2764932482897574e+07 1.2356413727460893e+07 1.1999101371257776e+07 1.1686883852443358e+07 1.1414149947476329e+07 1.1176830645119801e+07 1.0970934642259965e+07 1.0793138242487706e+07 1.0640858422484946e+07 1.0511400831157813e+07 1.0402168024048492e+07 1.0311250984885598e+07 1.0236301096569072e+07 1.0175577740173738e+07 1.0127096467497941e+07 1.0089131127668267e+07 1.0059355413332539e+07 1.0035512304883651e+07 1.0015896459196251e+07 9.9989016029798687e+06 9.9829694899329264e+06 9.9717293184547331e+06 9.9603907707093861e+06 9.9488261556041986e+06 9.9367151081891786e+06 9.9242218319909628e+06 9.9109896257366594e+06 9.8974497305607963e+06 9.8824142849287298e+06 9.8663230483767930e+06 9.8488798989048265e+06 9.8298536010483261e+06 9.8089631661808491e+06 9.7858920537635423e+06 9.7601882848962080e+06 9.7318937484488115e+06 9.6999539674337693e+06 9.6641437462075185e+06 9.6239434674939215e+06 9.5787939427656624e+06 9.5281185048737898e+06 9.4713387360276617e+06 9.4078176358906161e+06 9.3376320490782950e+06 9.2595671160870865e+06 9.1738854273918532e+06 9.0807852011606954e+06 8.9809966907083485e+06 8.8757623690164872e+06 8.7674471410633121e+06 8.6595726167934109e+06 8.5578941402954310e+06 8.4696698234227411e+06 8.4062447426920477e+06 8.3834317446589917e+06 8.4242044734491166e+06 8.5620014569776468e+06 8.8474943716475423e+06 9.3608994385288432e+06 1.0237365675244087e+07 1.4619132218822499e+06 +1.2893431143715102e+01 4.1745844343575828e+07 4.1741596836327851e+07 4.1734355485378698e+07 4.1724555817879230e+07 4.1714062928466201e+07 4.1705998854630180e+07 4.1701847677754618e+07 4.1699177733825184e+07 4.1695345346760355e+07 4.1689564084563792e+07 4.1681835766865686e+07 4.1671894615023777e+07 4.1659315627550282e+07 4.1643645144601852e+07 4.1624392263898253e+07 4.1600967165020891e+07 4.1572661684992298e+07 4.1538646241030864e+07 4.1497951099340864e+07 4.1449437047185645e+07 4.1391774220004342e+07 4.1323386445664957e+07 4.1242129024669550e+07 4.1144319872184098e+07 4.1025816907868423e+07 4.0884544018155172e+07 4.0718360908224203e+07 4.0523820443001769e+07 4.0296692610187724e+07 4.0032202122075729e+07 3.9725066362577930e+07 3.9369517247137330e+07 3.8959353229215294e+07 3.8488035619217090e+07 3.7948845429077819e+07 3.7335106816086031e+07 3.6640501825857282e+07 3.5859478110603489e+07 3.4987761196508273e+07 3.4022948244339757e+07 3.2882729702548590e+07 3.1639534359345984e+07 3.0302750937628973e+07 2.8887366025987696e+07 2.7413963551381525e+07 2.5908029276585843e+07 2.4398479149484992e+07 2.2915490943777580e+07 2.1487935647310089e+07 2.0140709775954299e+07 1.8892667778444283e+07 1.7755813508506168e+07 1.6735324743687784e+07 1.5829419891487747e+07 1.5031576283941954e+07 1.4332605707888111e+07 1.3721784060109407e+07 1.3188429478417180e+07 1.2722449726967609e+07 1.2315267372348789e+07 1.1959125511370229e+07 1.1647931525543908e+07 1.1376092067816662e+07 1.1139551137947138e+07 1.0934330436227905e+07 1.0757117150647292e+07 1.0605336705656143e+07 1.0476303662457677e+07 1.0367429158714082e+07 1.0276810451455846e+07 1.0202106711213740e+07 1.0141582990427393e+07 1.0093261357769381e+07 1.0055421272813074e+07 1.0025744033942807e+07 1.0001980027505184e+07 9.9824294333921596e+06 9.9654912199081127e+06 9.9496122878335137e+06 9.9384096622430962e+06 9.9271089974166602e+06 9.9155830241511781e+06 9.9035124457507655e+06 9.8910609161629863e+06 9.8778729327850454e+06 9.8643782604742181e+06 9.8493930560177118e+06 9.8333555884232037e+06 9.8159707251813635e+06 9.7970080034433454e+06 9.7761873735065162e+06 9.7531933525202684e+06 9.7275754787892383e+06 9.6993754665674157e+06 9.6675424107364733e+06 9.6318518473723978e+06 9.5917858954505958e+06 9.5467872349263933e+06 9.4962811255408414e+06 9.4396910822411757e+06 9.3763822399020586e+06 9.3064311530608367e+06 9.2286270681675356e+06 9.1432316783137880e+06 9.0504425393479019e+06 8.9509874645249657e+06 8.8461047752153352e+06 8.7381514742942695e+06 8.6306374107349534e+06 8.5292986670138091e+06 8.4413691454537790e+06 8.3781559955609078e+06 8.3554192326072212e+06 8.3960557243351713e+06 8.5333922695563901e+06 8.8179312327379566e+06 9.3296208085554577e+06 1.0203158383682994e+07 1.4563508714086998e+06 +1.2898399466489360e+01 4.1626254384783804e+07 4.1622018797903970e+07 4.1614797812610947e+07 4.1605025435667686e+07 4.1594561024293341e+07 4.1586517531239629e+07 4.1582374734149180e+07 4.1579708053968363e+07 4.1575881329978012e+07 4.1570110168232396e+07 4.1562396134238340e+07 4.1552473976509318e+07 4.1539919629584022e+07 4.1524280403625235e+07 4.1505066421774745e+07 4.1481689115843154e+07 4.1453441821637020e+07 4.1419496702914700e+07 4.1378886069816932e+07 4.1330473120636776e+07 4.1272930815891936e+07 4.1204686355410591e+07 4.1123599700426526e+07 4.1025996775669679e+07 4.0907744197871201e+07 4.0766770268896639e+07 4.0600939712538905e+07 4.0406813257534295e+07 4.0180170523301594e+07 3.9916247247956812e+07 3.9609773246505931e+07 3.9254994326183699e+07 3.8845724304001853e+07 3.8375441263307624e+07 3.7837444221698210e+07 3.7225076268057436e+07 3.6532038789652176e+07 3.5752798439190790e+07 3.4883098340883419e+07 3.3920550484137088e+07 3.2783054138783772e+07 3.1542883850369301e+07 3.0209421033773046e+07 2.8797630454838801e+07 2.7328057688147083e+07 2.5826133138292018e+07 2.4320702108157769e+07 2.2841860697243132e+07 2.1418393678883485e+07 2.0075115049103841e+07 1.8830808269302275e+07 1.7697422595946513e+07 1.6680100411095707e+07 1.5777047276198130e+07 1.4981744994183972e+07 1.4285021521630252e+07 1.3676177336698711e+07 1.3144558104976401e+07 1.2680099720339667e+07 1.2274249714091845e+07 1.1919274788929833e+07 1.1609101218047068e+07 1.1338153479553970e+07 1.1102388546691408e+07 1.0897841084363926e+07 1.0721209132178202e+07 1.0569926536913306e+07 1.0441316744727304e+07 1.0332799449015705e+07 1.0242478161009619e+07 1.0168019814745769e+07 1.0107695116930874e+07 1.0059532633185670e+07 1.0021817416624831e+07 9.9922383482357152e+06 9.9685531976730600e+06 9.9490676512955055e+06 9.9321859030889720e+06 9.9163599849948753e+06 9.9051947872870211e+06 9.8939318862577602e+06 9.8824444333110061e+06 9.8704141966509633e+06 9.8580042823946886e+06 9.8448603827887401e+06 9.8314107912325114e+06 9.8164756699281111e+06 9.8004918022043034e+06 9.7831650418732334e+06 9.7642656963342056e+06 9.7435146518046577e+06 9.7205974797991924e+06 9.6950652310524527e+06 9.6669594459019136e+06 9.6352327796182428e+06 9.5996614978209101e+06 9.5597294502594229e+06 9.5148811795170866e+06 9.4645438661387619e+06 9.4081429517436940e+06 9.3450456996812169e+06 9.2753283754441459e+06 9.1977843183581587e+06 9.1126743269971125e+06 9.0201952970080096e+06 8.9210726092437580e+06 8.8165404465299547e+06 8.7089479344714247e+06 8.6017931980374679e+06 8.5007931188059375e+06 8.4131574655013829e+06 8.3501555799631355e+06 8.3274948123246981e+06 8.3679954954147693e+06 8.5048730502870791e+06 8.7884610619050656e+06 9.2984405413814429e+06 1.0169058664890813e+07 1.4508090386258166e+06 +1.2903367789263619e+01 4.1506969430902399e+07 4.1502745560520582e+07 4.1495545051477581e+07 4.1485799936721504e+07 4.1475363940611824e+07 4.1467340979786508e+07 4.1463206552975394e+07 4.1460543142385885e+07 4.1456722084114842e+07 4.1450961017879680e+07 4.1443261256570280e+07 4.1433358075277038e+07 4.1420828342962243e+07 4.1405220338437431e+07 4.1386045208931893e+07 4.1362715636673614e+07 4.1334526454192705e+07 4.1300651569368571e+07 4.1260125333519191e+07 4.1211813352598511e+07 4.1154391408243135e+07 4.1086290067445286e+07 4.1005373945190772e+07 4.0907976963821933e+07 4.0789974425583132e+07 4.0649299041768096e+07 4.0483820546134710e+07 4.0290107518262722e+07 4.0063949193806276e+07 3.9800592318312198e+07 3.9494779116463698e+07 3.9140769262358896e+07 3.8732391907891408e+07 3.8263141875932455e+07 3.7726336151792213e+07 3.7115336712878726e+07 3.6423864240080655e+07 3.5646404333781309e+07 3.4778717659828477e+07 3.3818430978143215e+07 3.2683651962383173e+07 3.1446501122204728e+07 3.0116352517052408e+07 2.8708149068499975e+07 2.7242398014249660e+07 2.5744474462809958e+07 2.4243153186606701e+07 2.2768448776776187e+07 2.1349059999739908e+07 2.0009718561848059e+07 1.8769137166008297e+07 1.7639210678887852e+07 1.6625046254823558e+07 1.5724836715532929e+07 1.4932068386608375e+07 1.4237585402119895e+07 1.3630712792110560e+07 1.3100823699686920e+07 1.2637882086002667e+07 1.2233360386509322e+07 1.1879548847373262e+07 1.1570392581813179e+07 1.1300333841955842e+07 1.1065342537085820e+07 1.0861466258020299e+07 1.0685413863272849e+07 1.0534627596626518e+07 1.0406439761877256e+07 1.0298278581863010e+07 1.0208253802961139e+07 1.0134040098658256e+07 1.0073913812867122e+07 1.0025909988280280e+07 9.9883192547085360e+06 9.9588380526779108e+06 9.9352315125596188e+06 9.9158108106534909e+06 9.8989853507589083e+06 9.8832122801386807e+06 9.8720843926322218e+06 9.8608591366305202e+06 9.8494100828368142e+06 9.8374200610189084e+06 9.8250516311774384e+06 9.8119516766409688e+06 9.7985470241001751e+06 9.7836618284140062e+06 9.7677313919448629e+06 9.7504625517634153e+06 9.7316263830569573e+06 9.7109447050354388e+06 9.6881041402789839e+06 9.6626572471382432e+06 9.6346453927380983e+06 9.6030247813496981e+06 9.5675724058958832e+06 9.5277738414862044e+06 9.4830754874434918e+06 9.4329064391063955e+06 9.3766940586908925e+06 9.3138077312962804e+06 9.2443234344286174e+06 9.1670385871971194e+06 9.0822130965937693e+06 8.9900432000939623e+06 8.8912518538306914e+06 8.7870691150930896e+06 8.6798362569932379e+06 8.5730397173619810e+06 8.4723772373946179e+06 8.3850345279457122e+06 8.3222432422104059e+06 8.2996582308049416e+06 8.3400235324466955e+06 8.4764435407671519e+06 8.7590835921426583e+06 9.2673583544955440e+06 1.0135066209893823e+07 1.4452876508805335e+06 +1.2908336112037878e+01 4.1387988802214764e+07 4.1383776811100706e+07 4.1376596623385876e+07 4.1366878697045676e+07 4.1356471052184902e+07 4.1348468575595655e+07 4.1344342509456210e+07 4.1341682374118201e+07 4.1337866984258011e+07 4.1332116008526564e+07 4.1324430508835405e+07 4.1314546286185957e+07 4.1302041142502107e+07 4.1286464323787861e+07 4.1267328000027053e+07 4.1244046102122203e+07 4.1215914957139671e+07 4.1182110214811035e+07 4.1141668264718898e+07 4.1093457117180824e+07 4.1036155370989121e+07 4.0968196955551252e+07 4.0887451132595107e+07 4.0790259810078867e+07 4.0672506964168921e+07 4.0532129709612541e+07 4.0367002781448185e+07 4.0173702597302422e+07 3.9948027993346006e+07 3.9685236704257041e+07 3.9380083343038231e+07 3.9026841425802395e+07 3.8619355410356484e+07 3.8151136826037228e+07 3.7615520587817214e+07 3.7005887518640310e+07 3.6315977544945784e+07 3.5540295162191786e+07 3.4674618521606036e+07 3.3716589095629215e+07 3.2584522544438992e+07 3.1350385549061812e+07 3.0023544766180534e+07 2.8618921251973633e+07 2.7156983923014842e+07 2.5663052654074371e+07 2.4165831801778447e+07 2.2695254614615086e+07 2.1279934059449207e+07 1.9944519782606505e+07 1.8707653956894703e+07 1.7581177265941150e+07 1.6570161803506803e+07 1.5672787757435381e+07 1.4882546027272927e+07 1.4190296932127744e+07 1.3585390024319628e+07 1.3057225874207893e+07 1.2595796447839400e+07 1.2192599024337701e+07 1.1839947330990648e+07 1.1531805269563515e+07 1.1262632815126728e+07 1.1028412775681239e+07 1.0825205629357228e+07 1.0649731020947933e+07 1.0499439565948157e+07 1.0371672398593325e+07 1.0263866244942596e+07 1.0174137067476775e+07 1.0100167255181937e+07 1.0040238772146866e+07 9.9923931183235701e+06 9.9549264834200330e+06 9.9255428444732893e+06 9.9020146700572539e+06 9.8826586099248938e+06 9.8658892619026676e+06 9.8501688727168851e+06 9.8390781780792568e+06 9.8278904486750811e+06 9.8164796732097175e+06 9.8045297396985386e+06 9.7922026637324896e+06 9.7791465159498937e+06 9.7657866611363459e+06 9.7509512339655589e+06 9.7350740606247224e+06 9.7178629583379347e+06 9.6990897676654048e+06 9.6784772379015833e+06 9.6557130393376313e+06 9.6303512332061268e+06 9.6024330140880067e+06 9.5709181238914281e+06 9.5355842806454748e+06 9.4959187793879993e+06 9.4513698703418896e+06 9.4013685576000996e+06 9.3453441179372650e+06 9.2826680515131727e+06 9.2134160488974992e+06 9.1363895959275849e+06 9.0518477108991966e+06 8.9599859752215482e+06 8.8615249279062059e+06 8.7576905136891361e+06 8.6508161779168826e+06 8.5443767080022208e+06 8.4440507651338801e+06 8.3570000778087312e+06 8.2944187292244816e+06 8.2719092356556337e+06 8.3121395818143282e+06 8.4481034832409769e+06 8.7297985570780449e+06 9.2363739660949036e+06 1.0101180710494386e+07 1.4397866357627725e+06 +1.2913304434812137e+01 4.1269311987487204e+07 4.1265111989516489e+07 4.1257951936367996e+07 4.1248261091672242e+07 4.1237881733971313e+07 4.1229899694538899e+07 4.1225781979366265e+07 4.1223125124947466e+07 4.1219315406087674e+07 4.1213574515756384e+07 4.1205903266577512e+07 4.1196037984758914e+07 4.1183557403630204e+07 4.1168011735025778e+07 4.1148914170349866e+07 4.1125679887323372e+07 4.1097606705569789e+07 4.1063872014204890e+07 4.1023514238266878e+07 4.0975403789154224e+07 4.0918222078775622e+07 4.0850406394160599e+07 4.0769830636854574e+07 4.0672844688422851e+07 4.0555341187309355e+07 4.0415261645870954e+07 4.0250485791612685e+07 4.0057597867377818e+07 3.9832406294193491e+07 3.9570179777647212e+07 3.9265685297574759e+07 3.8913210187257268e+07 3.8506614181651480e+07 3.8039425483323209e+07 3.7504996898973651e+07 3.6896728054130629e+07 3.6208378072820343e+07 3.5434470293088421e+07 3.4570800295359202e+07 3.3615024206735782e+07 3.2485665257081948e+07 3.1254536506086826e+07 2.9930997160866510e+07 2.8529946391288653e+07 2.7071814808871243e+07 2.5581867117177121e+07 2.4088737371738903e+07 2.2622277644123603e+07 2.1211015308654975e+07 1.9879518180951688e+07 1.8646358131396860e+07 1.7523321866796855e+07 1.6515446586852264e+07 1.5620899950842079e+07 1.4833177483227234e+07 1.4143155695414940e+07 1.3540208632258156e+07 1.3013764241126867e+07 1.2553842430625061e+07 1.2151965263159739e+07 1.1800469884925911e+07 1.1493338934842041e+07 1.1225050059994388e+07 1.0991598929848013e+07 1.0789058871319473e+07 1.0614160282977901e+07 1.0464362126814496e+07 1.0337014340349117e+07 1.0229562126689050e+07 1.0140127645498149e+07 1.0066400977323519e+07 1.0006669689451786e+07 9.9589817193499599e+06 9.9216387998448163e+06 9.8923524215618335e+06 9.8689023687932082e+06 9.8496107483385056e+06 9.8328973362319991e+06 9.8172294629364666e+06 9.8061758441647142e+06 9.7950255232599210e+06 9.7836529056598134e+06 9.7717429342739657e+06 9.7594570820392184e+06 9.7464446030952763e+06 9.7331294050776586e+06 9.7183435897864718e+06 9.7025195119380765e+06 9.6853659658170044e+06 9.6666555549762938e+06 9.6461119558216874e+06 9.6234238830944896e+06 9.5981468961374238e+06 9.5703220176894572e+06 9.5389125159439053e+06 9.5036968318463080e+06 9.4641639749404546e+06 9.4197640405332167e+06 9.3699299354690313e+06 9.3140928450639304e+06 9.2516263778115734e+06 9.1826059384274911e+06 9.1058370664700214e+06 9.0215778944181334e+06 8.9300233496801425e+06 8.8318915617492385e+06 8.7284043757686429e+06 8.6218874339422751e+06 8.5158039098994620e+06 8.4158134450297505e+06 8.3290538607280152e+06 8.2666817885647193e+06 8.2442475751064457e+06 8.2843433905235473e+06 8.4198526205708012e+06 8.7006056910183597e+06 9.2054870950355902e+06 1.0067401859248348e+07 1.4343059211047038e+06 +1.2918272757586395e+01 4.1150938567672789e+07 4.1146750274891831e+07 4.1139610360165149e+07 4.1129946494924292e+07 4.1119595361572862e+07 4.1111633713126443e+07 4.1107524339170516e+07 4.1104870771223813e+07 4.1101066725922883e+07 4.1095335915852495e+07 4.1087678905957319e+07 4.1077832547121860e+07 4.1065376502410211e+07 4.1049861948127612e+07 4.1030803095780917e+07 4.1007616368173219e+07 4.0979601075224027e+07 4.0945936343176268e+07 4.0905662629708655e+07 4.0857652743859619e+07 4.0800590906819373e+07 4.0732917758374922e+07 4.0652511832924522e+07 4.0555730973589145e+07 4.0438476469529100e+07 4.0298694224738590e+07 4.0134268950491883e+07 3.9941792701934747e+07 3.9717083469415314e+07 3.9455420910988092e+07 3.9151584352116324e+07 3.8799874918274015e+07 3.8394167592769206e+07 3.7928007218232729e+07 3.7394764455227584e+07 3.6787857688962795e+07 3.6101065193176292e+07 3.5328929095978327e+07 3.4467262351065047e+07 3.3513735682451718e+07 3.2387079473338332e+07 3.1158953369418513e+07 2.9838709081790313e+07 2.8441223873512462e+07 2.6986890067278903e+07 2.5500917258249104e+07 2.4011869315671392e+07 2.2549517299797174e+07 2.1142303199146979e+07 1.9814713227542631e+07 1.8585249180083126e+07 1.7465643992265485e+07 1.6460900135661399e+07 1.5569172845787494e+07 1.4783962322547711e+07 1.4096161276705047e+07 1.3495168215825178e+07 1.2970438413976161e+07 1.2512019660037981e+07 1.2111458739443470e+07 1.1761116155180493e+07 1.1454993232059494e+07 1.1187585238322053e+07 1.0954900667750608e+07 1.0753025657667600e+07 1.0578701327946084e+07 1.0429394961935677e+07 1.0302465273361338e+07 1.0195365916308483e+07 1.0106225228710022e+07 1.0032740958822502e+07 9.9732062602098063e+06 9.9256754881336894e+06 9.8884559018367752e+06 9.8592664826500062e+06 9.8358943081638291e+06 9.8166669258411434e+06 9.8000092742138859e+06 9.7843937517213877e+06 9.7733770921438374e+06 9.7622640620042328e+06 9.7509294821300954e+06 9.7390593470660392e+06 9.7268145887701977e+06 9.7138456411413774e+06 9.7005749594401363e+06 9.6858385998263154e+06 9.6700674503088053e+06 9.6529712791562006e+06 9.6343234504921660e+06 9.6138485649385080e+06 9.5912363783922531e+06 9.5660439435398672e+06 9.5383121120047364e+06 9.5070076669228673e+06 9.4719097699778918e+06 9.4325091398361735e+06 9.3882577110640388e+06 9.3385902872762643e+06 9.2829399563123658e+06 9.2206824283522163e+06 9.1518928232780267e+06 9.0753807214168906e+06 8.9914033723193705e+06 8.9001550514211375e+06 8.8023514863156322e+06 8.6992104354337510e+06 8.5930497624033839e+06 8.4873210636286009e+06 8.3876650206850544e+06 8.3011956229706760e+06 8.2390321683733650e+06 8.2166729980143532e+06 8.2566347062041201e+06 8.3916906962605957e+06 8.6715047289050780e+06 9.1746974609028660e+06 1.0033729349471418e+07 1.4288454349799997e+06 +1.2923241080360654e+01 4.1032867286533453e+07 4.1028691141579062e+07 4.1021571250948824e+07 4.1011934280978255e+07 4.1001611311293840e+07 4.0993670008565255e+07 4.0989568965986602e+07 4.0986918689963803e+07 4.0983120320705153e+07 4.0977399585723981e+07 4.0969756803858586e+07 4.0959929350005098e+07 4.0947497815582447e+07 4.0932014339767024e+07 4.0912994152930558e+07 4.0889854921115540e+07 4.0861897442486539e+07 4.0828302578050792e+07 4.0788112815208748e+07 4.0740203357423298e+07 4.0683261231112443e+07 4.0615730423917480e+07 4.0535494096305653e+07 4.0438918040911041e+07 4.0321912185899839e+07 4.0182426820954166e+07 4.0018351632467948e+07 3.9826286475019589e+07 3.9602058892625831e+07 3.9340959477549165e+07 3.9037779879396304e+07 3.8686834991064340e+07 3.8282015015414439e+07 3.7816881402003288e+07 3.7284822627340719e+07 3.6679275793523706e+07 3.5994038276247293e+07 3.5223670941243730e+07 3.4364004059616156e+07 3.3412722894772325e+07 3.2288764567079451e+07 3.1063635516153265e+07 2.9746679910674151e+07 2.8352753086692791e+07 2.6902209094722569e+07 2.5420202484526463e+07 2.3935227053880565e+07 2.2476973017215606e+07 2.1073797183876581e+07 1.9750104394169603e+07 1.8524326594581634e+07 1.7408143154228944e+07 1.6406521981772412e+07 1.5517605993271446e+07 1.4734900114284778e+07 1.4049313261713345e+07 1.3450268375845790e+07 1.2927248007172784e+07 1.2470327762666406e+07 1.2071079090548351e+07 1.1721885788636962e+07 1.1416767816423874e+07 1.1150238012654079e+07 1.0918317658367215e+07 1.0717105662946587e+07 1.0543353835218566e+07 1.0394537754800726e+07 1.0268024884630984e+07 1.0161277303773049e+07 1.0072429509565726e+07 9.9991868941721991e+06 9.9398481805894636e+06 9.8924741221888363e+06 9.8553774879727289e+06 9.8262847271501757e+06 9.8029901882776674e+06 9.7838268431258854e+06 9.7672247770349681e+06 9.7516614407468420e+06 9.7406816240344532e+06 9.7296057672394160e+06 9.7183091053204946e+06 9.7064786811149791e+06 9.6942748873456474e+06 9.6813493339270912e+06 9.6681230284390002e+06 9.6534359687614050e+06 9.6377175808915552e+06 9.6206786040278301e+06 9.6020931604549307e+06 9.5816867721186262e+06 9.5591502327762973e+06 9.5340420837472528e+06 9.5064030061985571e+06 9.4752032869441081e+06 9.4402228062353265e+06 9.4009539864686169e+06 9.3568505956839416e+06 9.3073493282876015e+06 9.2518851686415207e+06 9.1898359219807442e+06 9.1212764244014639e+06 9.0450202840682231e+06 8.9613238704426400e+06 8.8703808090828937e+06 8.7729044332033098e+06 8.6701084274355136e+06 8.5643029013041779e+06 8.4589279104177896e+06 8.3596052363697588e+06 8.2734251114233220e+06 8.2114696174535798e+06 8.1891852538453750e+06 8.2290132771035451e+06 8.3636174544440228e+06 8.6424954063390400e+06 9.1440047839487679e+06 1.0000162875209600e+07 1.4234051057030933e+06 +1.2928209403134913e+01 4.0915098084531523e+07 4.0910933748591378e+07 4.0903833976063944e+07 4.0894223824910223e+07 4.0883928960399903e+07 4.0876007958627187e+07 4.0871915237500601e+07 4.0869268258855447e+07 4.0865475568029076e+07 4.0859764902887031e+07 4.0852136337763458e+07 4.0842327770886004e+07 4.0829920720452264e+07 4.0814468287203349e+07 4.0795486718966782e+07 4.0772394923303083e+07 4.0744495184407622e+07 4.0710970095760472e+07 4.0670864171599954e+07 4.0623055006489880e+07 4.0566232428139821e+07 4.0498843767222635e+07 4.0418776803260416e+07 4.0322405266397841e+07 4.0205647712212309e+07 4.0066458810051061e+07 3.9902733212777771e+07 3.9711078561466113e+07 3.9487331938268796e+07 3.9226794851255558e+07 3.8924271252873160e+07 3.8574089778566785e+07 3.8170155822030008e+07 3.7706047406564273e+07 3.7175170786838166e+07 3.6570981739031032e+07 3.5887296692995526e+07 3.5118695200003199e+07 3.4261024792693466e+07 3.3311985216493435e+07 3.2190719913204666e+07 3.0968582324325215e+07 2.9654909030215520e+07 2.8264533419983398e+07 2.6817771288827084e+07 2.5339722204302602e+07 2.3858810007722609e+07 2.2404644233119667e+07 2.1005496716857243e+07 1.9685691153754957e+07 1.8463589867699724e+07 1.7350818865652289e+07 1.6352311658094963e+07 1.5466198945389790e+07 1.4685990428541137e+07 1.4002611237128770e+07 1.3405508714130713e+07 1.2884192636109216e+07 1.2428766365992995e+07 1.2030825954685049e+07 1.1682778432993980e+07 1.1378662344021363e+07 1.1113008046417635e+07 1.0881849571491702e+07 1.0681298562501315e+07 1.0508117484928969e+07 1.0359790189668138e+07 1.0233692861931402e+07 1.0127295979828028e+07 1.0038740181264400e+07 9.9657384786379095e+06 9.9065951475118063e+06 9.8593773197866231e+06 9.8224032575902715e+06 9.7934068552456629e+06 9.7701897100040000e+06 9.7510902016246002e+06 9.7345435466331746e+06 9.7190322324021757e+06 9.7080891425656043e+06 9.6970503420410566e+06 9.6857914786375724e+06 9.6740006402185261e+06 9.6618376819264684e+06 9.6489553860031441e+06 9.6357733170141075e+06 9.6211354019914400e+06 9.6054696095645577e+06 9.5884876468257997e+06 9.5699643918393385e+06 9.5496262849532031e+06 9.5271651545371506e+06 9.5021410257967226e+06 9.4745944101509377e+06 9.4434990868476070e+06 9.4086356525254138e+06 9.3694982279410269e+06 9.3255424088299349e+06 9.2762067744467743e+06 9.2209281997112408e+06 9.1590865782586038e+06 9.0907564634417444e+06 9.0147554783759415e+06 8.9313391153136156e+06 8.8407003519528527e+06 8.7435501347067598e+06 8.6410980871816240e+06 8.5356465892754868e+06 8.4306241921031922e+06 8.3316338369603958e+06 8.2457420736065106e+06 8.1839938852020623e+06 8.1617840926751215e+06 8.2014788521061651e+06 8.3356326398798134e+06 8.6135774595737420e+06 9.1134087851205319e+06 9.9667021312980279e+06 1.4179848618284420e+06 +1.2933177725909172e+01 4.0797630382437140e+07 4.0793477544871189e+07 4.0786397915038958e+07 4.0776814503695205e+07 4.0766547686979957e+07 4.0758646941727035e+07 4.0754562532075256e+07 4.0751918856177121e+07 4.0748131846188053e+07 4.0742431245556600e+07 4.0734816885803223e+07 4.0725027187845498e+07 4.0712644595053166e+07 4.0697223168370187e+07 4.0678280171798736e+07 4.0655235752505831e+07 4.0627393678715095e+07 4.0593938273914561e+07 4.0553916076381072e+07 4.0506207068494983e+07 4.0449503875137992e+07 4.0382257165352836e+07 4.0302359330663808e+07 4.0206192026763856e+07 4.0089682424869105e+07 3.9950789568175510e+07 3.9787413067204483e+07 3.9596168336722657e+07 3.9372901981384017e+07 3.9112926406775028e+07 3.8811057846727826e+07 3.8461638654493250e+07 3.8058589385777675e+07 3.7595504604602516e+07 3.7065808306024767e+07 3.6462974897470050e+07 3.5780839815391526e+07 3.5014001244277216e+07 3.4158323922879800e+07 3.3211522021331519e+07 3.2092944887513071e+07 3.0873793172930330e+07 2.9563395824112087e+07 2.8176564263506413e+07 2.6733576048241820e+07 2.5259475827025566e+07 2.3782617599722818e+07 2.2332530385372613e+07 2.0937401253273621e+07 1.9621472980330646e+07 1.8403038493268993e+07 1.7293670640594382e+07 1.6298268698620589e+07 1.5414951255258527e+07 1.4637232836396143e+07 1.3956054790619420e+07 1.3360888833379246e+07 1.2841271917053536e+07 1.2387335098385736e+07 1.1990698970966896e+07 1.1643793736820566e+07 1.1340676471736956e+07 1.1075895003811559e+07 1.0845496077713648e+07 1.0645604032456737e+07 1.0472991958012166e+07 1.0325151951577038e+07 1.0199468893787550e+07 1.0093421635931447e+07 1.0005156937756350e+07 9.9323954082114510e+06 9.8734468586415108e+06 9.8263847799277790e+06 9.7895329107461739e+06 9.7606325678413901e+06 9.7374925749146752e+06 9.7184567035003398e+06 9.7019652856668849e+06 9.6865058298383877e+06 9.6755993512102850e+06 9.6645974902209900e+06 9.6533763062431701e+06 9.6416249288689364e+06 9.6295026774002854e+06 9.6166635026291478e+06 9.6035255308655053e+06 9.5889366056289673e+06 9.5733232429351788e+06 9.5563981146771386e+06 9.5379368523328714e+06 9.5176668117553275e+06 9.4952808526586387e+06 9.4703404794441834e+06 9.4428860344692431e+06 9.4118947781900652e+06 9.3771480214684941e+06 9.3381415780602545e+06 9.2943328656701371e+06 9.2451623424266726e+06 9.1900687678562626e+06 9.1284341174140703e+06 9.0603326627236400e+06 8.9845860289946999e+06 8.9014488341253698e+06 8.8111134099980667e+06 8.7142883237371556e+06 8.6121791507411189e+06 8.5070805656024478e+06 8.4024096511855368e+06 8.3037505679704500e+06 8.2181462576549798e+06 8.1566047216419857e+06 8.1344692652193299e+06 8.1740311806735238e+06 8.3077359979560236e+06 8.5847506254997328e+06 9.0829091860419642e+06 9.9333468132944293e+06 1.4125846321497897e+06 +1.2938146048683430e+01 4.0680463128027514e+07 4.0676322073768787e+07 4.0669262433897331e+07 4.0659705697960526e+07 4.0649466870041572e+07 4.0641586336914338e+07 4.0637510228708915e+07 4.0634869860881142e+07 4.0631088534093685e+07 4.0625397992582977e+07 4.0617797826786123e+07 4.0608026979549214e+07 4.0595668818054490e+07 4.0580278361865357e+07 4.0561373889895089e+07 4.0538376787127309e+07 4.0510592303696491e+07 4.0477206490717672e+07 4.0437267907737270e+07 4.0389658921393469e+07 4.0333074950011991e+07 4.0265969996054679e+07 4.0186241056086794e+07 4.0090277699329376e+07 3.9974015701005355e+07 3.9835418472170614e+07 3.9672390572305426e+07 3.9481555176999606e+07 3.9258768397738039e+07 3.8999353519392326e+07 3.8698139035836443e+07 3.8349480993234172e+07 3.7947315080606990e+07 3.7485252369626686e+07 3.6956734557892531e+07 3.6355254641592599e+07 3.5674667016024746e+07 3.4909588446973063e+07 3.4055900823642313e+07 3.3111332683876369e+07 3.1995438866679177e+07 3.0779267441985726e+07 2.9472139677027334e+07 2.8088845008435093e+07 2.6649622772663198e+07 2.5179462763145816e+07 2.3706649253473286e+07 2.2260630912900671e+07 2.0869510249412809e+07 1.9557449349059604e+07 1.8342671966301344e+07 1.7236697994225379e+07 1.6244392638361860e+07 1.5363862476989318e+07 1.4588626909940381e+07 1.3909643510824246e+07 1.3316408337299097e+07 1.2798485467208581e+07 1.2346033589122206e+07 1.1950697779349625e+07 1.1604931349557547e+07 1.1302809857331971e+07 1.1038898549867779e+07 1.0809256848429419e+07 1.0610021749756850e+07 1.0437976936183050e+07 1.0290622726336647e+07 1.0165352669508107e+07 1.0059653964364776e+07 9.9716794737584963e+06 9.8991573796512708e+06 9.8404030123952366e+06 9.7934962023678925e+06 9.7567661482541934e+06 9.7279615665823482e+06 9.7048984853632934e+06 9.6859260516570993e+06 9.6694896975283772e+06 9.6540819369133897e+06 9.6432119541660864e+06 9.6322469163133856e+06 9.6210632930116877e+06 9.6093512523173280e+06 9.5972695793711636e+06 9.5844733898114283e+06 9.5713793763801455e+06 9.5568392865351290e+06 9.5412781883278936e+06 9.5244097154216059e+06 9.5060102503405996e+06 9.4858080615432262e+06 9.4634970368551891e+06 9.4386401551773604e+06 9.4112775904667657e+06 9.3803900732281450e+06 9.3457596263775285e+06 9.3068837513542548e+06 9.2632216820511650e+06 9.2142157495873757e+06 9.1593065921343490e+06 9.0978782603808586e+06 9.0300047452561818e+06 8.9545116612434089e+06 8.8716527547399420e+06 8.7816197138455324e+06 8.6851187338846009e+06 8.5833513548159245e+06 8.4786045702073034e+06 8.3742840307834418e+06 8.2759551755353818e+06 8.1906374123222157e+06 8.1293018774138829e+06 8.1072405227815993e+06 8.1466700129339676e+06 8.2799272746902425e+06 8.5560146416784618e+06 9.0525057090516835e+06 9.9000966175170802e+06 1.4072043456994323e+06 +1.2943114371457689e+01 4.0563595920505106e+07 4.0559466765482835e+07 4.0552426893724792e+07 4.0542896792503126e+07 4.0532685889177561e+07 4.0524825523832493e+07 4.0520757707087547e+07 4.0518120652522445e+07 4.0514345011214785e+07 4.0508664523409918e+07 4.0501078540113077e+07 4.0491326525390312e+07 4.0478992768751241e+07 4.0463633246923387e+07 4.0444767252451353e+07 4.0421817406307153e+07 4.0394090438388176e+07 4.0360774125104569e+07 4.0320919044352822e+07 4.0273409943887018e+07 4.0216945031271912e+07 4.0149981637672275e+07 4.0070421357691914e+07 3.9974661662116356e+07 3.9858646918420851e+07 3.9720344899515264e+07 3.9557665105236582e+07 3.9367238459089182e+07 3.9144930563841105e+07 3.8886075565189399e+07 3.8585514195808478e+07 3.8237616169906102e+07 3.7836332281166062e+07 3.7375290075827606e+07 3.6847948916357420e+07 3.6247820344970107e+07 3.5568777668410726e+07 3.4805456181744032e+07 3.3953754869263165e+07 3.3011416579653166e+07 3.1898201228344683e+07 3.0685004512358788e+07 2.9381139974650826e+07 2.8001375046971411e+07 2.6565910862852700e+07 2.5099682424255442e+07 2.3630904393663406e+07 2.2188945255806949e+07 2.0801823162700694e+07 1.9493619736184523e+07 1.8282489782869123e+07 1.7179900442751948e+07 1.6190683013428437e+07 1.5312932165802089e+07 1.4540172222281817e+07 1.3863376987353735e+07 1.3272066830511855e+07 1.2755832904697958e+07 1.2304861468351508e+07 1.1910822020686874e+07 1.1566190921468278e+07 1.1265062159357967e+07 1.1002018350451825e+07 1.0773131555844519e+07 1.0574551392108308e+07 1.0403072101929644e+07 1.0256202200536914e+07 1.0131343879149292e+07 1.0025992658103313e+07 9.9383074847321846e+06 9.8660240904414374e+06 9.8074633079157621e+06 9.7607112875856180e+06 9.7241026716509461e+06 9.6953935538544618e+06 9.6724071443974245e+06 9.6534979497216698e+06 9.6371164863562118e+06 9.6217602582196295e+06 9.6109266563543882e+06 9.5999983255749550e+06 9.5888521445482466e+06 9.5771793165213391e+06 9.5651380941670872e+06 9.5523847542836815e+06 9.5393345606854763e+06 9.5248431522756852e+06 9.5093341537865587e+06 9.4925221576341316e+06 9.4741842949835099e+06 9.4540497440739926e+06 9.4318134175549056e+06 9.4070397641690038e+06 9.3797687901676726e+06 9.3489846849354487e+06 9.3144701812909376e+06 9.2757244630329087e+06 9.2322085745374206e+06 9.1833667139794696e+06 9.1286413922748026e+06 9.0674187287659384e+06 8.9997724347261302e+06 8.9245321011347100e+06 8.8419506057013609e+06 8.7522189947894029e+06 8.6560410993975624e+06 8.5546144367664997e+06 8.4502183436509036e+06 8.3462470746540716e+06 8.2482474064250216e+06 8.1632152869793409e+06 8.1020851037677163e+06 8.0800976172956740e+06 8.1193950995954731e+06 8.2522062167313611e+06 8.5273692463029586e+06 9.0221980771368500e+06 9.8669512410445288e+06 1.4018439317474822e+06 +1.2948082694231948e+01 4.0447028428180337e+07 4.0442910741911821e+07 4.0435890680795535e+07 4.0426387174788974e+07 4.0416204124614857e+07 4.0408363882824712e+07 4.0404304347464122e+07 4.0401670611364193e+07 4.0397900657808930e+07 4.0392230218211517e+07 4.0384658405882671e+07 4.0374925205425061e+07 4.0362615827092908e+07 4.0347287203459866e+07 4.0328459639242671e+07 4.0305556989763707e+07 4.0277887462425731e+07 4.0244640556642868e+07 4.0204868865776822e+07 4.0157459515315302e+07 4.0101113498174518e+07 4.0034291469262674e+07 3.9954899614404291e+07 3.9859343293795474e+07 3.9743575455541819e+07 3.9605568228465036e+07 3.9443236043938287e+07 3.9253217560551696e+07 3.9031387856820352e+07 3.8773091920911312e+07 3.8473182702975646e+07 3.8126043560415335e+07 3.7725640362893492e+07 3.7265617098175026e+07 3.6739450755999804e+07 3.6140671381965235e+07 3.5463171146875776e+07 3.4701603823110178e+07 3.3851885434976108e+07 3.2911773085075039e+07 3.1801231351115678e+07 3.0591003765986670e+07 2.9290396103661668e+07 2.7914153772349119e+07 2.6482439720632706e+07 2.5020134223021701e+07 2.3555382446163647e+07 2.2117472855293535e+07 2.0734339451674793e+07 1.9429983619127501e+07 1.8222491440172251e+07 1.7123277503504813e+07 1.6137139360981606e+07 1.5262159877866445e+07 1.4491868347499060e+07 1.3817254810804399e+07 1.3227863918571787e+07 1.2713313848562550e+07 1.2263818367146155e+07 1.1871071336686293e+07 1.1527572103681903e+07 1.1227433037231671e+07 1.0965254072217112e+07 1.0737119872960193e+07 1.0539192638031652e+07 1.0368277138518060e+07 1.0221890061508309e+07 1.0097442213539621e+07 9.9924374109306633e+06 9.9050406668930296e+06 9.8329952388369124e+06 9.7746274451024365e+06 9.7280297368191388e+06 9.6915421832274795e+06 9.6629282327745818e+06 9.6400182558235321e+06 9.6211721020565648e+06 9.6048453570026606e+06 9.5895404991033114e+06 9.5787431634553820e+06 9.5678514240074363e+06 9.5567425671880320e+06 9.5451088281807732e+06 9.5331079288599119e+06 9.5203973034916241e+06 9.5073907916362882e+06 9.4929479111480638e+06 9.4774908480810225e+06 9.4607351505861674e+06 9.4424586961166449e+06 9.4223915698002391e+06 9.4002297059082333e+06 9.3755390183343198e+06 9.3483593463089466e+06 9.3176783269874379e+06 9.2832794009404033e+06 9.2446634290249292e+06 9.2012932603743039e+06 9.1526149543542471e+06 9.0980728887188993e+06 9.0370552448866107e+06 8.9696354555117115e+06 8.8946470753399283e+06 8.8123421162207853e+06 8.7229109847846963e+06 8.6270551551745646e+06 8.5259681345946379e+06 8.4219216271409281e+06 8.3182985271884426e+06 8.2206270080285547e+06 8.1358796316274311e+06 8.0749541525715888e+06 8.0530403012980362e+06 8.0922061920010382e+06 8.2245725713480823e+06 8.4988141782082394e+06 8.9919860139915720e+06 9.8339103816836867e+06 1.3965033198011385e+06 +1.2953051017006207e+01 4.0330759244413957e+07 4.0326653442287512e+07 4.0319653212272003e+07 4.0310176231446251e+07 4.0300020956975386e+07 4.0292200794798397e+07 4.0288149530851439e+07 4.0285519118331842e+07 4.0281754854743637e+07 4.0276094457812548e+07 4.0268536804855086e+07 4.0258822400284342e+07 4.0246537373703681e+07 4.0231239611985534e+07 4.0212450430827536e+07 4.0189594917880282e+07 4.0161982756134443e+07 4.0128805165546626e+07 4.0089116752116933e+07 4.0041807015685365e+07 3.9985579730556019e+07 3.9918898870609909e+07 3.9839675205786787e+07 3.9744321973762110e+07 3.9628800691545635e+07 3.9491087837828577e+07 3.9329102766946033e+07 3.9139491859693527e+07 3.8918139654553056e+07 3.8660401964072295e+07 3.8361143934322037e+07 3.8014762541339278e+07 3.7615238701916926e+07 3.7156232812414363e+07 3.6631239452197678e+07 3.6033807127728060e+07 3.5357846826491967e+07 3.4598030746461734e+07 3.3750291896781243e+07 3.2812401577419754e+07 3.1704528614458177e+07 3.0497264585719578e+07 2.9199907451758370e+07 2.7827180578839626e+07 2.6399208748897206e+07 2.4940817573191497e+07 2.3480082837868925e+07 2.2046213153655428e+07 2.0667058575953979e+07 1.9366540476371348e+07 1.8162676436482508e+07 1.7066828694876488e+07 1.6083761219225993e+07 1.5211545170434728e+07 1.4443714860703751e+07 1.3771276572720474e+07 1.3183799208009742e+07 1.2670927918744605e+07 1.2222903917439921e+07 1.1831445369919261e+07 1.1489074548164645e+07 1.1189922151174737e+07 1.0928605382645959e+07 1.0701221473570218e+07 1.0503945166814255e+07 1.0333591730006127e+07 1.0187685997392640e+07 1.0063647364263216e+07 9.9589879173570424e+06 9.8718787171904128e+06 9.8000705238045100e+06 9.7418951246050335e+06 9.6954512520275451e+06 9.6590843859912455e+06 9.6305653071855549e+06 9.6077315241615400e+06 9.5889482137596812e+06 9.5726760150575582e+06 9.5574223656042255e+06 9.5466611818373110e+06 9.5358059183291625e+06 9.5247342679934483e+06 9.5131394947001822e+06 9.5011787912336309e+06 9.4885107456103396e+06 9.4755477778086457e+06 9.4611532721684240e+06 9.4457479807085302e+06 9.4290484042817093e+06 9.4108331643048991e+06 9.3908332499037236e+06 9.3687456137608457e+06 9.3441376302885823e+06 9.3170489723401181e+06 9.2864707137730177e+06 9.2521870007756520e+06 9.2137003659513369e+06 9.1704754575316422e+06 9.1219601901645660e+06 9.0676008025714718e+06 9.0067875317231826e+06 8.9395935326689221e+06 8.8648563112103809e+06 8.7828270161704030e+06 8.6936954164477065e+06 8.5981606367789637e+06 8.4974121869691014e+06 8.3937141625239383e+06 8.2904381334134107e+06 8.1930937283631749e+06 8.1086301968796859e+06 8.0479087763090394e+06 8.0260683279403420e+06 8.0651030421040822e+06 8.1970260864295075e+06 8.4703491768903732e+06 8.9618692439865954e+06 9.8009737379992250e+06 1.3911824396039620e+06 +1.2958019339780465e+01 4.0214788401800737e+07 4.0210694328113392e+07 4.0203713891621873e+07 4.0194263345161006e+07 4.0184135767335184e+07 4.0176335641427010e+07 4.0172292638823047e+07 4.0169665554918677e+07 4.0165906983502470e+07 4.0160256623640418e+07 4.0152713118409649e+07 4.0143017491309702e+07 4.0130756789878145e+07 4.0115489853738949e+07 4.0096739008254133e+07 4.0073930571722977e+07 4.0046375700496949e+07 4.0013267332707673e+07 3.9973662084161967e+07 3.9926451825677976e+07 3.9870343108980522e+07 3.9803803222036488e+07 3.9724747512076326e+07 3.9629597082075335e+07 3.9514322006230533e+07 3.9376903107226178e+07 3.9215264653544873e+07 3.9026060735372171e+07 3.8805185335652359e+07 3.8548005072803475e+07 3.8249397267681919e+07 3.7903772490006447e+07 3.7505126675171770e+07 3.7047136595068209e+07 3.6523314381138399e+07 3.5927226958247013e+07 3.5252804083247311e+07 3.4494736328072384e+07 3.3648973631609954e+07 3.2713301434899125e+07 3.1608092398829732e+07 3.0403786355383746e+07 2.9109673407615475e+07 2.7740454861723863e+07 2.6316217351617575e+07 2.4861731889614359e+07 2.3405004996806413e+07 2.1975165594346236e+07 2.0599979996386316e+07 1.9303289787537824e+07 1.8103044271213524e+07 1.7010553536356091e+07 1.6030548127422199e+07 1.5161087601775607e+07 1.4395711337985821e+07 1.3725441865621626e+07 1.3139872306277830e+07 1.2628674736132842e+07 1.2182117752076736e+07 1.1791943763833653e+07 1.1450697907738160e+07 1.1152529162260700e+07 1.0892071950033542e+07 1.0665436032298896e+07 1.0468808658549329e+07 1.0299015561213240e+07 1.0153589697064692e+07 1.0029959023661038e+07 9.9256438726486471e+06 9.8388213333437834e+06 9.7672496450939104e+06 9.7092660477860887e+06 9.6629755359112937e+06 9.6267289836955611e+06 9.5983044816796817e+06 9.5755466546784397e+06 9.5568259906443004e+06 9.5406081668374017e+06 9.5254055645035543e+06 9.5146804186098333e+06 9.5038615159871373e+06 9.4928269547462985e+06 9.4812710242371876e+06 9.4693503897816986e+06 9.4567247895386871e+06 9.4438052284875959e+06 9.4294589450611118e+06 9.4141052618683390e+06 9.3974616294467598e+06 9.3793074108194839e+06 9.3593744962774310e+06 9.3373608536944352e+06 9.3128353133495003e+06 9.2858373824110590e+06 9.2553615603859816e+06 9.2211926969377846e+06 9.1828349911455009e+06 9.1397548846429586e+06 9.0914021415493879e+06 9.0372248556472789e+06 8.9766153129520342e+06 8.9096463919337280e+06 8.8351595367836636e+06 8.7534050360887703e+06 8.6645720230665170e+06 8.5693572804167308e+06 8.4689463331854288e+06 8.3655956922857100e+06 8.2626656389696272e+06 8.1656473160629831e+06 8.0814667339674477e+06 8.0209487280680826e+06 7.9991814509896068e+06 8.0380854024612568e+06 8.1695665104974210e+06 8.4419739824754409e+06 8.9318474921742734e+06 9.7681410092982296e+06 1.3858812211351374e+06 +1.2962987662554724e+01 4.0099115324512050e+07 4.0095032716705613e+07 4.0088072076768942e+07 4.0078647894769244e+07 4.0068547937234931e+07 4.0060767804892153e+07 4.0056733053630143e+07 4.0054109303397648e+07 4.0050356426254123e+07 4.0044716097791620e+07 4.0037186728634350e+07 4.0027509860585287e+07 4.0015273457538113e+07 4.0000037310561910e+07 3.9981324753390267e+07 3.9958563333040327e+07 3.9931065677151509e+07 3.9898026439689621e+07 3.9858504243325181e+07 3.9811393326612554e+07 3.9755403014652073e+07 3.9689003904674239e+07 3.9610115914120421e+07 3.9515167999392115e+07 3.9400138780124530e+07 3.9263013416864760e+07 3.9101721083675258e+07 3.8912923567264803e+07 3.8692524279364251e+07 3.8435900626040682e+07 3.8137942081529915e+07 3.7793072784507990e+07 3.7395303660257779e+07 3.6938327823408969e+07 3.6415674919765398e+07 3.5820930250249557e+07 3.5148042293900996e+07 3.4391719944962837e+07 3.3547930017273352e+07 3.2614472036604393e+07 3.1511922085572705e+07 3.0310568459774736e+07 2.9019693360879403e+07 2.7653976017363206e+07 2.6233464933774654e+07 2.4782876588200539e+07 2.3330148352124292e+07 2.1904329621918209e+07 2.0533103174810793e+07 1.9240231033355068e+07 1.8043594444821782e+07 1.6954451548485357e+07 1.5977499625919964e+07 1.5110786731163181e+07 1.4347857356436808e+07 1.3679750283023406e+07 1.3096082821758250e+07 1.2586553922486357e+07 1.2141459504771546e+07 1.1752566162742769e+07 1.1412441836062156e+07 1.1115253732367750e+07 1.0855653443489973e+07 1.0629763224525981e+07 1.0433782794108806e+07 1.0264548317741200e+07 1.0119600850186946e+07 9.9963768848465588e+06 9.8924049728328045e+06 9.8058682138072662e+06 9.7345323031655289e+06 9.6767399167593792e+06 9.6306022919174396e+06 9.5944756808208190e+06 9.5661454615609888e+06 9.5434633533523921e+06 9.5248051392833460e+06 9.5086415193918161e+06 9.4934898033182267e+06 9.4828005816243757e+06 9.4720179251400437e+06 9.4610203359558322e+06 9.4495031256401688e+06 9.4376224337448310e+06 9.4250391448926497e+06 9.4121628536872733e+06 9.3978646402937919e+06 9.3825624024909455e+06 9.3659745375208668e+06 9.3478811476584114e+06 9.3280150215298962e+06 9.3060751389848068e+06 9.2816317815552577e+06 9.2547242913920097e+06 9.2243505826282632e+06 9.1902962062745485e+06 9.1520670226315744e+06 9.1091312610690333e+06 9.0609405293347593e+06 9.0069447704378795e+06 8.9465383129345030e+06 8.8797937597147971e+06 8.8055564807582349e+06 8.7240759071978629e+06 8.6355405385682229e+06 8.5406448229565229e+06 8.4405703131839838e+06 8.3375659595373459e+06 8.2349807901443755e+06 8.1382875203904603e+06 8.0543889947245745e+06 7.9940737615478374e+06 7.9723794248161158e+06 8.0111530262556737e+06 8.1421935926874951e+06 8.4136883357420862e+06 8.9019204842939433e+06 9.7354118956396580e+06 1.3805995946087632e+06 +1.2967955985328983e+01 3.9983739449430376e+07 3.9979668105039097e+07 3.9972727115155093e+07 3.9963329258601367e+07 3.9953256848864205e+07 3.9945496668110505e+07 3.9941470158227175e+07 3.9938849746604398e+07 3.9935102565882757e+07 3.9929472263133377e+07 3.9921957018244520e+07 3.9912298890678272e+07 3.9900086759289883e+07 3.9884881365026645e+07 3.9866207048680492e+07 3.9843492584218703e+07 3.9816052068433747e+07 3.9783081868691646e+07 3.9743642611783117e+07 3.9696630900523491e+07 3.9640758829483315e+07 3.9574500300248697e+07 3.9495779793563999e+07 3.9401034107184805e+07 3.9286250394420475e+07 3.9149418147713773e+07 3.8988471438034430e+07 3.8800079735716872e+07 3.8580155865671247e+07 3.8324088003367104e+07 3.8026777755053706e+07 3.7682662803631425e+07 3.7285769035637312e+07 3.6829805875485368e+07 3.6308320445832372e+07 3.5714916381333448e+07 3.5043560836048059e+07 3.4288980975044511e+07 3.3447160432457726e+07 3.2515912762547985e+07 3.1416017056998696e+07 3.0217610284641903e+07 2.8929966702256370e+07 2.7567743443068769e+07 2.6150950901466906e+07 2.4704251085958954e+07 2.3255512334051207e+07 2.1833704682038803e+07 2.0466427574253872e+07 1.9177363695661951e+07 1.7984326458949689e+07 1.6898522252911244e+07 1.5924615256086962e+07 1.5060642118922668e+07 1.4300152494131157e+07 1.3634201419374131e+07 1.3052430363772156e+07 1.2544565100516424e+07 1.2100928810151571e+07 1.1713312211823497e+07 1.1374305987655446e+07 1.1078095524219805e+07 1.0819349532931225e+07 1.0594202726455495e+07 1.0398867255138623e+07 1.0230189685967050e+07 1.0085719147174446e+07 9.9629006416766047e+06 9.8592709146746546e+06 9.7730190577780008e+06 9.7019181992420573e+06 9.6443164343929030e+06 9.5983312242057398e+06 9.5623241825898979e+06 9.5340879528854080e+06 9.5114813269234616e+06 9.4928853669281136e+06 9.4767757804765347e+06 9.4616747902702205e+06 9.4510213794275355e+06 9.4402748546884619e+06 9.4293141208450049e+06 9.4178355084920470e+06 9.4059946330669448e+06 9.3934535220018197e+06 9.3806203641311638e+06 9.3663700690299273e+06 9.3511191142134648e+06 9.3345868406373635e+06 9.3165540875189807e+06 9.2967545389661193e+06 9.2748881836193278e+06 9.2505267496428415e+06 9.2237094148493968e+06 9.1934374969997834e+06 9.1594972463316079e+06 9.1213961791283973e+06 9.0786043068569433e+06 9.0305750750619452e+06 8.9767602701309305e+06 8.9165562567104846e+06 8.8500353631140515e+06 8.7760468724982813e+06 8.6948393613678981e+06 8.6066006975632422e+06 8.5120230019095428e+06 8.4122838675670940e+06 8.3096247080433965e+06 8.2073833338496583e+06 8.1110140912222089e+06 8.0273967316174852e+06 7.9672836310648238e+06 7.9456620043988805e+06 7.9843056672796039e+06 8.1149070827669837e+06 8.3854919781061094e+06 8.8720879467458706e+06 9.7027860978056230e+06 1.3753374904731116e+06 +1.2972924308103241e+01 3.9868659489425577e+07 3.9864599738160901e+07 3.9857678395440564e+07 3.9848306818193607e+07 3.9838261885170005e+07 3.9830521614686809e+07 3.9826503336185858e+07 3.9823886268090352e+07 3.9820144785846949e+07 3.9814524503065318e+07 3.9807023370663479e+07 3.9797383964957453e+07 3.9785196078431599e+07 3.9770021400348380e+07 3.9751385277269676e+07 3.9728717708298855e+07 3.9701334257298931e+07 3.9668433002658866e+07 3.9629076572290391e+07 3.9582163930099607e+07 3.9526409936007649e+07 3.9460291791152328e+07 3.9381738532655612e+07 3.9287194787495866e+07 3.9172656230969295e+07 3.9036116681372948e+07 3.8875515097933479e+07 3.8687528621751413e+07 3.8468079475327462e+07 3.8212566585158661e+07 3.7915903668271363e+07 3.7572541926941663e+07 3.7176522180428714e+07 3.6721570130031295e+07 3.6201250337813444e+07 3.5609184729847722e+07 3.4939359088093720e+07 3.4186518797119536e+07 3.3346664256682530e+07 3.2417622993648760e+07 3.1320376696347326e+07 3.0124911216725014e+07 2.8840492823419064e+07 2.7481756537275404e+07 2.6068674661800642e+07 2.4625854801002283e+07 2.3181096373918511e+07 2.1763290221469447e+07 2.0399952658862073e+07 1.9114687257431451e+07 1.7925239816255853e+07 1.6842765172347434e+07 1.5871894560328510e+07 1.5010653326402409e+07 1.4252596330171637e+07 1.3588794870084744e+07 1.3008914542601300e+07 1.2502707893805552e+07 1.2060525303686809e+07 1.1674181557109812e+07 1.1336290017855039e+07 1.1041054201357288e+07 1.0783159889069075e+07 1.0558754215082794e+07 1.0364061724087361e+07 1.0195939353035845e+07 1.0051944279209604e+07 9.9295299887715131e+06 9.8262413957044724e+06 9.7402735652081426e+06 9.6694070352717917e+06 9.6119953042587582e+06 9.5661620376861859e+06 9.5302741949367393e+06 9.5021316624041051e+06 9.4796002828035280e+06 9.4610663816009611e+06 9.4450106585962456e+06 9.4299602343105990e+06 9.4193425213091467e+06 9.4086320142425541e+06 9.3977080193718392e+06 9.3862678830942865e+06 9.3744666984175742e+06 9.3619676319282763e+06 9.3491774712824505e+06 9.3349749431527890e+06 9.3197751093826368e+06 9.3032982516729217e+06 9.2853259438280817e+06 9.2655927626281213e+06 9.2437997023071125e+06 9.2195199330687169e+06 9.1927924690490589e+06 9.1626220207067877e+06 9.1287955353577975e+06 9.0908221800590567e+06 9.0481737427379601e+06 9.0003055009290166e+06 8.9466710786013268e+06 8.8866688699973412e+06 8.8203709298901111e+06 8.7466304420630131e+06 8.6656951311493181e+06 8.5777522352981307e+06 8.4834915554359909e+06 8.3840867375613274e+06 8.2817716821864909e+06 8.1798730176170375e+06 8.0838267790582906e+06 8.0004896977207642e+06 7.9405780915417662e+06 7.9190289453229951e+06 7.9575430799253350e+06 8.0877067311136005e+06 8.3573846516274465e+06 8.8423496066252105e+06 9.6702633173483908e+06 1.3700948394099204e+06 +1.2977892630877500e+01 3.9753875002597824e+07 3.9749826990583457e+07 3.9742925321642943e+07 3.9733579958774611e+07 3.9723562429918669e+07 3.9715842028907202e+07 3.9711831971765637e+07 3.9709218252031356e+07 3.9705482470303267e+07 3.9699872201682918e+07 3.9692385169893041e+07 3.9682764467433095e+07 3.9670600798850499e+07 3.9655456800358474e+07 3.9636858822961964e+07 3.9614238089061037e+07 3.9586911627415903e+07 3.9554079225104265e+07 3.9514805508337051e+07 3.9467991798674367e+07 3.9412355717423007e+07 3.9346377760544121e+07 3.9267991514343522e+07 3.9173649423123986e+07 3.9059355672329210e+07 3.8923108400210902e+07 3.8762851445461199e+07 3.8575269607117794e+07 3.8356294489718787e+07 3.8101335752445564e+07 3.7805319201788798e+07 3.7462709534711078e+07 3.7067562474572562e+07 3.6613619966696240e+07 3.6094463975099318e+07 3.5503734675008640e+07 3.4835436429305241e+07 3.4084332790812276e+07 3.3246440870385278e+07 3.2319602111682899e+07 3.1225000387777701e+07 3.0032470643714108e+07 2.8751271117056906e+07 2.7396014699390583e+07 2.5986635623004604e+07 2.4547687152485859e+07 2.3106899904203288e+07 2.1693085688123278e+07 2.0333677893876202e+07 1.9052201202704806e+07 1.7866334020514004e+07 1.6787179830587689e+07 1.5819337082167856e+07 1.4960819915960455e+07 1.4205188444628095e+07 1.3543530231562069e+07 1.2965534969436502e+07 1.2460981926874463e+07 1.2020248621777428e+07 1.1635173845505819e+07 1.1298393582875593e+07 1.1004129428135823e+07 1.0747084183460375e+07 1.0523417368191281e+07 1.0329365884170560e+07 1.0161797006863490e+07 1.0018275938245820e+07 9.8962646215063650e+06 9.7933161141871512e+06 9.7076314367790092e+06 9.6369985139436871e+06 9.5797762306819502e+06 9.5340944379935358e+06 9.4983254245414808e+06 9.4702762976395078e+06 9.4478199291723110e+06 9.4293478920155372e+06 9.4133458629492819e+06 9.3983458451347817e+06 9.3877637172706556e+06 9.3770891141296960e+06 9.3662017421996165e+06 9.3547999604785200e+06 9.3430383411781583e+06 9.3305811864287183e+06 9.3178338872908819e+06 9.3036789752643872e+06 9.2885301010777242e+06 9.2721084842018019e+06 9.2541964307154343e+06 9.2345294072433542e+06 9.2128094104457572e+06 9.1886110479898807e+06 9.1619731709746532e+06 9.1319038716513757e+06 9.0981907923127562e+06 9.0603447455415539e+06 9.0178392901392039e+06 8.9701315298494305e+06 8.9166769203900285e+06 8.8568758792059813e+06 8.7908001884918120e+06 8.7173069201487340e+06 8.6366429497401416e+06 8.5489948876931798e+06 8.4550502223597839e+06 8.3559786650454942e+06 8.2540066270073587e+06 8.1524495896167383e+06 8.0567253350263136e+06 7.9736676467163693e+06 7.9139568985118540e+06 7.8924800037848856e+06 7.9308650192035856e+06 8.0605922887277296e+06 8.3293660989998942e+06 8.8127051917018164e+06 9.6378432565282919e+06 1.3648715723336642e+06 +1.2982860953651759e+01 3.9639385990157008e+07 3.9635349477846451e+07 3.9628467276271261e+07 3.9619148066144027e+07 3.9609157867979884e+07 3.9601457295603074e+07 3.9597455449896634e+07 3.9594845083335310e+07 3.9591115004123911e+07 3.9585514743809469e+07 3.9578041800742500e+07 3.9568439782743193e+07 3.9556300305201799e+07 3.9541186949633807e+07 3.9522627070232518e+07 3.9500053110853031e+07 3.9472783563124731e+07 3.9440019920317046e+07 3.9400828804095499e+07 3.9354113890341967e+07 3.9298595557774939e+07 3.9232757592158780e+07 3.9154538122253798e+07 3.9060397397514708e+07 3.8946348101794064e+07 3.8810392687210545e+07 3.8650479863357373e+07 3.8463302074321538e+07 3.8244800290997863e+07 3.7990394887032911e+07 3.7695023737050198e+07 3.7353165008018173e+07 3.6958889298762538e+07 3.6505954765773065e+07 3.5987960737741791e+07 3.5398565596755356e+07 3.4731792239710860e+07 3.3982422336573951e+07 3.3146489654851723e+07 3.2221849499400616e+07 3.1129887516413704e+07 2.9940287954279240e+07 2.8662300976846222e+07 2.7310517329858005e+07 2.5904833194310870e+07 2.4469747560691252e+07 2.3032922358433679e+07 2.1623090531012006e+07 2.0267602745669302e+07 1.8989905016688403e+07 1.7807608576636426e+07 1.6731765752496989e+07 1.5766942366098121e+07 1.4911141450980391e+07 1.4157928418557534e+07 1.3498407101150598e+07 1.2922291256411647e+07 1.2419386825121572e+07 1.1980098401665697e+07 1.1596288724771872e+07 1.1260616339725956e+07 1.0967320869757874e+07 1.0711122088425120e+07 1.0488191864366123e+07 1.0294779419395382e+07 1.0127762336143212e+07 9.9847138169780765e+06 9.8631042359913737e+06 9.7604947691410426e+06 9.6750923739157766e+06 9.6046923386809584e+06 9.5476589187286720e+06 9.5021281314961612e+06 9.4664775788061880e+06 9.4385215667977948e+06 9.4161399749402422e+06 9.3977296076350715e+06 9.3817811034931839e+06 9.3668313331285436e+06 9.3562846780303568e+06 9.3456458654099070e+06 9.3347950007202774e+06 9.3234314523779266e+06 9.3117092734493166e+06 9.2992938980006948e+06 9.2865893250404801e+06 9.2724818786754180e+06 9.2573838030723687e+06 9.2410172524978071e+06 9.2231652630146444e+06 9.2035641882597618e+06 9.1819170241535679e+06 9.1577998112592753e+06 9.1312512383063119e+06 9.1012827684480567e+06 9.0676827368298657e+06 9.0299635963903312e+06 8.9876006711825803e+06 8.9400528854157664e+06 8.8867775207586028e+06 8.8271770114110503e+06 8.7613228680270165e+06 8.6880760381522235e+06 8.6076825510087684e+06 8.5203283913127054e+06 8.4266987421410773e+06 8.3279593925259318e+06 8.2263292881492237e+06 8.1251127986256424e+06 8.0297095108543606e+06 7.9469303328989614e+06 7.8874198081083801e+06 7.8660149365824861e+06 7.9042712407231973e+06 8.0335635072269831e+06 8.3014360635617189e+06 8.7831544304198865e+06 9.6055256183708925e+06 1.3596676203908431e+06 +1.2987829276426018e+01 3.9525191705315709e+07 3.9521166509946167e+07 3.9514303630536951e+07 3.9505010523507662e+07 3.9495047585261293e+07 3.9487366800434053e+07 3.9483373156150557e+07 3.9480766147522517e+07 3.9477041772793196e+07 3.9471451514894091e+07 3.9463992648534723e+07 3.9454409296275608e+07 3.9442293982762314e+07 3.9427211233405709e+07 3.9408689404251777e+07 3.9386162158815652e+07 3.9358949449383818e+07 3.9326254473158054e+07 3.9287145844357930e+07 3.9240529589775771e+07 3.9185128841557659e+07 3.9119430670514248e+07 3.9041377740716875e+07 3.8947438094816968e+07 3.8833632903313324e+07 3.8697968926138937e+07 3.8538399735070065e+07 3.8351625406467885e+07 3.8133596261962697e+07 3.7879743371392004e+07 3.7585016656206623e+07 3.7243907728602678e+07 3.6850502034374125e+07 3.6398573908427693e+07 3.5881740006634414e+07 3.5293676875884183e+07 3.4628425900310054e+07 3.3880786815724805e+07 3.3046809992256641e+07 3.2124364540408358e+07 3.1035037468294971e+07 2.9848362538032457e+07 2.8573581797472917e+07 2.7225263830197968e+07 2.5823266786048271e+07 2.4392035446976241e+07 2.2959163171266980e+07 2.1553304200252935e+07 2.0201726681698117e+07 1.8927798185620558e+07 1.7749062990576491e+07 1.6676522464025043e+07 1.5714709957727117e+07 1.4861617495850703e+07 1.4110815834031848e+07 1.3453425077144435e+07 1.2879183016594524e+07 1.2377922214879736e+07 1.1940074281497058e+07 1.1557525843517449e+07 1.1222957946283260e+07 1.0930628192212500e+07 1.0675273277115773e+07 1.0453077382966766e+07 1.0260302014527330e+07 1.0093835030332148e+07 9.9512576088817120e+06 9.8300485291308705e+06 9.7277770603314321e+06 9.6426560788046848e+06 9.5724882136544324e+06 9.5156430741739850e+06 9.4702628252910320e+06 9.4347303658646774e+06 9.4068671788335647e+06 9.3845601296970751e+06 9.3662112386209238e+06 9.3503160908781812e+06 9.3354164094077628e+06 9.3249051150265131e+06 9.3143019798434284e+06 9.3034875070297085e+06 9.2921620712464098e+06 9.2804792080484424e+06 9.2681054798426982e+06 9.2554434981183801e+06 9.2413833674151804e+06 9.2263359298599977e+06 9.2100242715748996e+06 9.1922321562732197e+06 9.1726968218224607e+06 9.1511222602528967e+06 9.1270859404445384e+06 9.1006263894267194e+06 9.0707584303922001e+06 9.0372710892485995e+06 8.9996784541035611e+06 8.9574576086888928e+06 8.9100692918930408e+06 8.8569726056069732e+06 8.7975719943775423e+06 8.7319386982981246e+06 8.6589375281120166e+06 8.5788136694857627e+06 8.4917524833826646e+06 8.3984368548872042e+06 8.3000286631709626e+06 8.1987394119091332e+06 8.0978623940682029e+06 8.0027790589028290e+06 7.9202775111798774e+06 7.8609665770680793e+06 7.8396335011225408e+06 7.8777615007184334e+06 8.0066201388504896e+06 8.2735942892898247e+06 8.7536970518891048e+06 9.5733101066280231e+06 1.3544829149592638e+06 +1.2992797599200276e+01 3.9411290987305917e+07 3.9407277278257892e+07 3.9400433762146637e+07 3.9391166711198658e+07 3.9381230968723275e+07 3.9373569929685816e+07 3.9369584476768821e+07 3.9366980830859385e+07 3.9363262162515908e+07 3.9357681901047997e+07 3.9350237099394627e+07 3.9340672394017592e+07 3.9328581217440836e+07 3.9313529037522122e+07 3.9295045210821137e+07 3.9272564618679889e+07 3.9245408671934679e+07 3.9212782269286066e+07 3.9173756014619038e+07 3.9127238282387115e+07 3.9071954954122730e+07 3.9006396380725473e+07 3.8928509754741259e+07 3.8834770899902850e+07 3.8721209461516820e+07 3.8585836501381725e+07 3.8426610444786899e+07 3.8240238987487420e+07 3.8022681786243878e+07 3.7769380588800296e+07 3.7475297342145137e+07 3.7134937079011209e+07 3.6742400063667834e+07 3.6291476776526839e+07 3.5775801163477272e+07 3.5189067893997200e+07 3.4525336792742126e+07 3.3779425610463649e+07 3.2947401265716940e+07 3.2027146619235545e+07 3.0940449630402997e+07 2.9756693785600681e+07 2.8485112974610042e+07 2.7140253602921721e+07 2.5741935809582211e+07 2.4314550233764406e+07 2.2885621778459877e+07 2.1483726147076737e+07 2.0136049170587942e+07 1.8865880196925335e+07 1.7690696769395921e+07 1.6621449492163410e+07 1.5662639403652681e+07 1.4812247616013400e+07 1.4063850274088597e+07 1.3408583758837286e+07 1.2836209863980878e+07 1.2336587723378634e+07 1.1900175900301997e+07 1.1518884851221761e+07 1.1185418061265163e+07 1.0894051062336424e+07 1.0639537423480773e+07 1.0418073604158379e+07 1.0225933355142076e+07 1.0060014779654991e+07 9.9179070081815161e+06 9.7970971985307820e+06 9.6951626882600300e+06 9.6103222543420829e+06 9.5403858437587786e+06 9.4837284035443179e+06 9.4384982271904387e+06 9.4030834945576992e+06 9.3753128434232101e+06 9.3530801037965380e+06 9.3347924958620444e+06 9.3189505364775863e+06 9.3041007858133931e+06 9.2936247404286899e+06 9.2830571699239612e+06 9.2722789739496782e+06 9.2609915302491859e+06 9.2493478585125171e+06 9.2370156458589714e+06 9.2243961208253633e+06 9.2103831562148537e+06 9.1953861966425385e+06 9.1791292571276203e+06 9.1613968267469853e+06 9.1419270247984119e+06 9.1204248362605348e+06 9.0964691538067460e+06 9.0700983434159737e+06 9.0403305774898678e+06 9.0069555706171002e+06 8.9694890408818275e+06 8.9274098261514027e+06 8.8801804742581286e+06 8.8272619015471209e+06 8.7680605565413684e+06 8.7026474097627625e+06 8.6298911227547117e+06 8.5500360403578486e+06 8.4632669017743692e+06 8.3702643013582071e+06 8.2721862207724163e+06 8.1712367452088213e+06 8.0706981259683343e+06 7.9759337321324274e+06 7.8937089370715618e+06 7.8345969627464917e+06 7.8133354554035524e+06 7.8513355560093662e+06 7.9797619364424376e+06 8.2458405207830099e+06 8.7243327859038077e+06 9.5411964257900734e+06 1.3493173876473242e+06 +1.2997765921974535e+01 3.9297683378472038e+07 3.9293681143686533e+07 3.9286857060695730e+07 3.9277616009758435e+07 3.9267707406450182e+07 3.9260066070292644e+07 3.9256088798726432e+07 3.9253488520166367e+07 3.9249775560087591e+07 3.9244205289127000e+07 3.9236774540061206e+07 3.9227228462660059e+07 3.9215161395948172e+07 3.9200139748600625e+07 3.9181693876461051e+07 3.9159259876857243e+07 3.9132160617092140e+07 3.9099602694938086e+07 3.9060658701145738e+07 3.9014239354307041e+07 3.8959073281372257e+07 3.8893654108661614e+07 3.8815933550015286e+07 3.8722395198284559e+07 3.8609077161777996e+07 3.8473994798076965e+07 3.8315111377393447e+07 3.8129142201926604e+07 3.7912056248111293e+07 3.7659305923206262e+07 3.7365865178485118e+07 3.7026252442545488e+07 3.6634582769530304e+07 3.6184662752767168e+07 3.5670143590732001e+07 3.5084738033546470e+07 3.4422524299667649e+07 3.3678338103840239e+07 3.2848262859114714e+07 3.1930195121339791e+07 3.0846123390649132e+07 2.9665281088554762e+07 2.8396893904976975e+07 2.7055486051572505e+07 2.5660839677389067e+07 2.4237291344584592e+07 2.2812297616880555e+07 2.1414355823830057e+07 2.0070569682029046e+07 1.8804150539090410e+07 1.7632509421284139e+07 1.6566546365018848e+07 1.5610730251575222e+07 1.4763031377902437e+07 1.4017031322754679e+07 1.3363882746434189e+07 1.2793371413493181e+07 1.2295382978739459e+07 1.1860402897975517e+07 1.1480365398220703e+07 1.1147996344202695e+07 1.0857589147773748e+07 1.0603914202274395e+07 1.0383180208899502e+07 1.0191673127568720e+07 1.0026301275108662e+07 9.8846617098493055e+06 9.7642499425944611e+06 9.6626513541820347e+06 9.5780906041706335e+06 9.5083849346253406e+06 9.4519146140798312e+06 9.4068340457538441e+06 9.3715366744771395e+06 9.3438582709529120e+06 9.3216996082979105e+06 9.3034730909851175e+06 9.2876841523868162e+06 9.2728841748849805e+06 9.2624432671120297e+06 9.2519111488475893e+06 9.2411691150281504e+06 9.2299195432727206e+06 9.2183149390700795e+06 9.2060241106781065e+06 9.1934469081804678e+06 9.1794809605300743e+06 9.1645343193288464e+06 9.1483319255710747e+06 9.1306589913931079e+06 9.1112545147377979e+06 9.0898244704041313e+06 9.0659491703180689e+06 9.0396668200526107e+06 9.0099989304489009e+06 8.9767359026593026e+06 8.9393950796154849e+06 8.8974570477555785e+06 8.8503861581506282e+06 8.7976451358588934e+06 8.7386424270101041e+06 8.6734487335487381e+06 8.6009365554456860e+06 8.5213493994708043e+06 8.4348713850193359e+06 8.3421808229520898e+06 8.2444318097564215e+06 8.1438210355929965e+06 8.0436197449926529e+06 7.9491732841332993e+06 7.8672243666975098e+06 7.8083107230876461e+06 7.7871205580344694e+06 7.8249931640359964e+06 7.9529886534748925e+06 8.2181745032978700e+06 8.6950613629292138e+06 9.5091842810794581e+06 1.3441709702933058e+06 +1.3002734244748794e+01 3.9184368507467315e+07 3.9180377681724697e+07 3.9173572934100121e+07 3.9164357803699240e+07 3.9154476287311278e+07 3.9146854609927185e+07 3.9142885509579428e+07 3.9140288603132986e+07 3.9136581353106558e+07 3.9131021066574663e+07 3.9123604357987605e+07 3.9114076889607042e+07 3.9102033905534558e+07 3.9087042753898114e+07 3.9068634788354307e+07 3.9046247320493139e+07 3.9019204671937689e+07 3.8986715137106240e+07 3.8947853290722109e+07 3.8901532192254953e+07 3.8846483210045204e+07 3.8781203240846664e+07 3.8703648512954220e+07 3.8610310376195617e+07 3.8497235390111707e+07 3.8362443202066593e+07 3.8203901918429546e+07 3.8018334435138904e+07 3.7801719032582477e+07 3.7549518759312399e+07 3.7256719549616881e+07 3.6917853203223586e+07 3.6527049535733260e+07 3.6078131220596492e+07 3.5564766671661809e+07 3.4980686677754812e+07 3.4319987804427661e+07 3.3577523679741949e+07 3.2749394157278262e+07 3.1833509433061883e+07 3.0752058137931313e+07 2.9574123839453153e+07 2.8308923986236509e+07 2.6970960580788359e+07 2.5579977802945964e+07 2.4160258204050761e+07 2.2739190124462441e+07 2.1345192683969192e+07 2.0005287686833046e+07 1.8742608701726232e+07 1.7574500455459505e+07 1.6511812611723259e+07 1.5558982050193375e+07 1.4713968348973941e+07 1.3970358565046843e+07 1.3319321641128885e+07 1.2750667280997844e+07 1.2254307609985556e+07 1.1820754915284261e+07 1.1441967135689637e+07 1.1110692455486674e+07 1.0821242116983538e+07 1.0568403289038680e+07 1.0348396878911672e+07 1.0157521018913791e+07 9.9926942084392738e+06 9.8515214096374195e+06 9.7315064604271706e+06 9.6302427600955013e+06 9.5459608326957542e+06 9.4764851926176995e+06 9.4202014137599636e+06 9.3752699902458880e+06 9.3400896159091219e+06 9.3125031725496631e+06 9.2904183549718224e+06 9.2722527363069467e+06 9.2565166514220927e+06 9.2417662899026405e+06 9.2313604086512420e+06 9.2208636305262875e+06 9.2101576444907486e+06 9.1989458249134813e+06 9.1873801646790411e+06 9.1751305896417517e+06 9.1625955758985896e+06 9.1486764965068251e+06 9.1337800145374071e+06 9.1176319940169379e+06 9.1000183678766340e+06 9.0806790099108499e+06 9.0593208816119954e+06 9.0355257096390836e+06 9.0093315398133267e+06 8.9797632106524371e+06 8.9466118078003209e+06 8.9093962938795369e+06 8.8675989983823206e+06 8.8206860699145757e+06 8.7681220365060885e+06 8.7093173355733082e+06 8.6443424014609326e+06 8.5720735602377281e+06 8.4927534833353627e+06 8.4065656722881515e+06 8.3141861617169194e+06 8.2167651751936972e+06 8.1164920312417084e+06 8.0166270024114447e+06 7.9224974691033727e+06 7.8408235567981573e+06 7.7821076166484393e+06 7.7609885682226159e+06 7.7987340828322172e+06 7.9263000440224474e+06 8.1905959827111010e+06 8.6658825140930694e+06 9.4772733784506116e+06 1.3390435949646605e+06 +1.3007702567523053e+01 3.9071346051901601e+07 3.9067366238939248e+07 3.9060580793809406e+07 3.9051391483183652e+07 3.9041537000845909e+07 3.9033934936905712e+07 3.9029973997639269e+07 3.9027380467917003e+07 3.9023678929767087e+07 3.9018128621562280e+07 3.9010725941271938e+07 3.9001217062865622e+07 3.8989198134227082e+07 3.8974237441278353e+07 3.8955867334385104e+07 3.8933526337388083e+07 3.8906540224181823e+07 3.8874118983408161e+07 3.8835339170961082e+07 3.8789116183726162e+07 3.8734184127480321e+07 3.8669043164515071e+07 3.8591654030626304e+07 3.8498515820614383e+07 3.8385683533321008e+07 3.8251181099870525e+07 3.8092981454211429e+07 3.7907815073142923e+07 3.7691669525385253e+07 3.7440018482533485e+07 3.7147859840611853e+07 3.6809738745855324e+07 3.6419799746769592e+07 3.5971881564263090e+07 3.5459669790349513e+07 3.4876913210645258e+07 3.4217726691286109e+07 3.3476981722916286e+07 3.2650794545960683e+07 3.1737088941637494e+07 3.0658253262030017e+07 2.9483221431812666e+07 2.8221202617120571e+07 2.6886676596146617e+07 2.5499349600811936e+07 2.4083450237852916e+07 2.2666298740318559e+07 2.1276236182069715e+07 1.9940202656950060e+07 1.8681254175516278e+07 1.7516669382279381e+07 1.6457247762512302e+07 1.5507394349256130e+07 1.4665058097686708e+07 1.3923831586985677e+07 1.3274900045053875e+07 1.2708097083253030e+07 1.2213361247042343e+07 1.1781231593884952e+07 1.1403689715667179e+07 1.1073506056314372e+07 1.0785009639236599e+07 1.0533004360125659e+07 1.0313723296724463e+07 1.0123476717067914e+07 9.9591932721709199e+06 9.8184858040292375e+06 9.6988664519038927e+06 9.5979366087181456e+06 9.5139326450060233e+06 9.4446863248253241e+06 9.3885885112925749e+06 9.3438057706761677e+06 9.3087420298866276e+06 9.2812472600391712e+06 9.2592360563091319e+06 9.2411311448793411e+06 9.2254477471093684e+06 9.2107468448375277e+06 9.2003758793595508e+06 9.1899143295994774e+06 9.1792442773131169e+06 9.1680700904762279e+06 9.1565432510128301e+06 9.1443347987733372e+06 9.1318418404175732e+06 9.1179694810055941e+06 9.1031229995832220e+06 9.0870291802957058e+06 9.0694746745616067e+06 9.0502002292850185e+06 9.0289137895091251e+06 9.0051984921337701e+06 8.9790922238737345e+06 8.9496231401922647e+06 8.9165830091500562e+06 8.8794924079475552e+06 8.8378354035925902e+06 8.7910799365432039e+06 8.7386923321234174e+06 8.6800850126901492e+06 8.6153281459692325e+06 8.5433018718366940e+06 8.4642480291059986e+06 8.3783495034252731e+06 8.2862800603411160e+06 8.1891860627799081e+06 8.0892494809708698e+06 7.9897196501211403e+06 7.8959060418521939e+06 7.8145062646975573e+06 7.7559874025854599e+06 7.7349392457819264e+06 7.7725580710326545e+06 7.8996958627798865e+06 8.1631047055329112e+06 8.6367959712024275e+06 9.4454634246050827e+06 1.3339351939572995e+06 +1.3012670890297311e+01 3.8958614634879872e+07 3.8954646161044702e+07 3.8947880033359312e+07 3.8938716442908369e+07 3.8928888937141880e+07 3.8921306440310307e+07 3.8917353651897699e+07 3.8914763503541574e+07 3.8911067678924032e+07 3.8905527342970207e+07 3.8898138678723149e+07 3.8888648371213026e+07 3.8876653470710762e+07 3.8861723199462764e+07 3.8843390903121859e+07 3.8821096316060580e+07 3.8794166662269220e+07 3.8761813622237451e+07 3.8723115730075479e+07 3.8676990716856085e+07 3.8622175421691336e+07 3.8557173267616704e+07 3.8479949490855850e+07 3.8387010919102699e+07 3.8274420978823245e+07 3.8140207878729008e+07 3.7982349371767059e+07 3.7797583502654813e+07 3.7581907112971619e+07 3.7330804479030967e+07 3.7039285437351763e+07 3.6701908455944501e+07 3.6312832787857212e+07 3.5865913168778598e+07 3.5354852331673950e+07 3.4773417017104149e+07 3.4115740345332526e+07 3.3376711618979227e+07 3.2552463411723688e+07 3.1640933035286203e+07 3.0564708153712474e+07 2.9392573260118563e+07 2.8133729197294720e+07 2.6802633504356518e+07 2.5418954486650530e+07 2.4006866872750126e+07 2.2593622904547419e+07 2.1207485773826446e+07 1.9875314065392099e+07 1.8620086452295508e+07 1.7459015713160940e+07 1.6402851348670326e+07 1.5455966699581504e+07 1.4616300193531640e+07 1.3877449975542400e+07 1.3230617561302269e+07 1.2665660437975548e+07 1.2172543520751746e+07 1.1741832576296221e+07 1.1365532791054020e+07 1.1036436808740117e+07 1.0748891384632761e+07 1.0497717092690174e+07 1.0279159145642247e+07 1.0089539910674978e+07 9.9257981595900450e+06 9.7855545902740229e+06 9.6663296176669579e+06 9.5657326035342142e+06 9.4820057469741888e+06 9.4129880390777383e+06 9.3570756161104739e+06 9.3124410977510754e+06 9.2774936281517260e+06 9.2500902459757589e+06 9.2281524255331550e+06 9.2101080304555949e+06 9.1944771536849756e+06 9.1798255543915238e+06 9.1694893942491002e+06 9.1590629613916054e+06 9.1484287291506939e+06 9.1372920559799261e+06 9.1258039144357648e+06 9.1136364548449758e+06 9.1011854188643415e+06 9.0873596315995492e+06 9.0725629925084375e+06 9.0565232029257026e+06 9.0390276305173989e+06 9.0198178925238568e+06 8.9986029144211784e+06 8.9749672388642300e+06 8.9489485940992106e+06 8.9195784418548513e+06 8.8866492305257209e+06 8.8496831467642579e+06 8.8081659896291569e+06 8.7615674857425522e+06 8.7093557520380337e+06 8.6509451894922778e+06 8.5864057002010737e+06 8.5146212256049979e+06 8.4358327746009436e+06 8.3502226188929332e+06 8.2584622621517880e+06 8.1616942188557135e+06 8.0620931341942651e+06 7.9628974406427052e+06 7.8693987577935979e+06 7.7882722483428242e+06 7.7299498406439070e+06 7.7089723511154419e+06 7.7464648878901443e+06 7.8731758650514977e+06 8.1357004189085988e+06 8.6078014667351097e+06 9.4137541269557308e+06 1.3288456997948966e+06 +1.3017639213071570e+01 3.8846174246281587e+07 3.8842216909224994e+07 3.8835470038293436e+07 3.8826332079297744e+07 3.8816531486373387e+07 3.8808968509870045e+07 3.8805023861950658e+07 3.8802437099588715e+07 3.8798746990183212e+07 3.8793216620290652e+07 3.8785841959790878e+07 3.8776370204052515e+07 3.8764399304363921e+07 3.8749499417709619e+07 3.8731204883778557e+07 3.8708956645643957e+07 3.8682083375252962e+07 3.8649798442580327e+07 3.8611182357062802e+07 3.8565155180503674e+07 3.8510456481421530e+07 3.8445592938710578e+07 3.8368534282084316e+07 3.8275795060040168e+07 3.8163447114756420e+07 3.8029522926622666e+07 3.7872005058787778e+07 3.7687639111219659e+07 3.7472431182585143e+07 3.7221876135751300e+07 3.6930995726389274e+07 3.6594361719855368e+07 3.6206148045061670e+07 3.5760225419945478e+07 3.5250313681287915e+07 3.4670197482822940e+07 3.4014028152507655e+07 3.3276712754427724e+07 3.2454400142061763e+07 3.1545041103053790e+07 3.0471422204629906e+07 2.9302178719838094e+07 2.8046503127505168e+07 2.6718830713089611e+07 2.5338791877110928e+07 2.3930507536619104e+07 2.2521162058444485e+07 2.1138940915974192e+07 1.9810621386347193e+07 1.8559105024949033e+07 1.7401538960625429e+07 1.6348622902540501e+07 1.5404698652988164e+07 1.4567694206990073e+07 1.3831213318690354e+07 1.3186473793917025e+07 1.2623356963785972e+07 1.2131854062819002e+07 1.1702557505919451e+07 1.1327496015572423e+07 1.0999484375622269e+07 1.0712887024074942e+07 1.0462541164681433e+07 1.0244704109750496e+07 1.0055710289177174e+07 9.8925085647372045e+06 9.7527274663710985e+06 9.6338956590531264e+06 9.5336304487506822e+06 9.4501798451728486e+06 9.3813900439226367e+06 9.3256624383459557e+06 9.2811756829319932e+06 9.2463441231630072e+06 9.2190318436369207e+06 9.1971671765631661e+06 9.1791831075225938e+06 9.1636045861050747e+06 9.1490021339669190e+06 9.1387006690531708e+06 9.1283092419639137e+06 9.1177107163972370e+06 9.1066114381370507e+06 9.0951618720303494e+06 9.0830352753016129e+06 9.0706260290978849e+06 9.0568466665599570e+06 9.0420997120186016e+06 9.0261137811457086e+06 9.0086769555283301e+06 8.9895317199939527e+06 8.9683879773753677e+06 8.9448316715942286e+06 8.9189003730588015e+06 8.8896288391147181e+06 8.8568101964099500e+06 8.8199682359782737e+06 8.7785904834151249e+06 8.7321484458834529e+06 8.6801120262252148e+06 8.6218975977805313e+06 8.5575747979748268e+06 8.4860313575774338e+06 8.4075074582959749e+06 8.3221847598242946e+06 8.2307325111176595e+06 8.1342893904074496e+06 8.0350227409886690e+06 7.9361601271073194e+06 7.8429753729662495e+06 7.7621212662832625e+06 7.7039946911869720e+06 7.6830876452307301e+06 7.7204542932427125e+06 7.8467398067511227e+06 8.1083828706168272e+06 8.5788987338217590e+06 9.3821451936622635e+06 1.3237750452281719e+06 +1.3022607535845829e+01 3.8734023814951785e+07 3.8730078039401017e+07 3.8723350192411236e+07 3.8714237787537463e+07 3.8704464039066978e+07 3.8696920536069021e+07 3.8692984018147603e+07 3.8690400646421187e+07 3.8686716253858544e+07 3.8681195843798518e+07 3.8673835174674623e+07 3.8664381951494321e+07 3.8652435025192089e+07 3.8637565486019321e+07 3.8619308666318737e+07 3.8597106716040261e+07 3.8570289752971984e+07 3.8538072834167384e+07 3.8499538441539139e+07 3.8453608964237414e+07 3.8399026696135655e+07 3.8334301567214027e+07 3.8257407793518879e+07 3.8164867632469468e+07 3.8052761330095597e+07 3.7919125632199273e+07 3.7761947903753668e+07 3.7577981286981076e+07 3.7363241122123383e+07 3.7113232840305664e+07 3.6822990095189221e+07 3.6487097924641177e+07 3.6099744905205317e+07 3.5654817704306565e+07 3.5146053225695997e+07 3.4567253994304009e+07 3.3912589499549299e+07 3.3176984516574197e+07 3.2356604125340350e+07 3.1449412534960199e+07 3.0378394807450887e+07 2.9212037207444560e+07 2.7959523809465915e+07 2.6635267631062679e+07 2.5258861189988751e+07 2.3854371658395424e+07 2.2448915644373558e+07 2.1070601066449594e+07 1.9746124095044617e+07 1.8498309387526914e+07 1.7344238638282269e+07 1.6294561957547095e+07 1.5353589762368225e+07 1.4519239709575215e+07 1.3785121205376135e+07 1.3142468347882561e+07 1.2581186280238628e+07 1.2091292505873382e+07 1.1663406027015770e+07 1.1289579043820435e+07 1.0962648420678260e+07 1.0676996229271553e+07 1.0427476254842486e+07 1.0210357873926407e+07 1.0021987542767102e+07 9.8593241824006923e+06 9.7200041310654748e+06 9.6015642781904489e+06 9.5016298493127041e+06 9.4184546469222326e+06 9.3498920486382619e+06 9.2943486888899095e+06 9.2500092383638304e+06 9.2152932280998789e+06 9.1880717670002244e+06 9.1662800240505673e+06 9.1483560912574101e+06 9.1328297600367740e+06 9.1182762996800207e+06 9.1080094201983791e+06 9.0976528880716898e+06 9.0870899561261516e+06 9.0760279543961864e+06 9.0646168415843640e+06 9.0525309783136658e+06 9.0401633896532524e+06 9.0264303048533220e+06 9.0117328775706887e+06 8.9958006348718274e+06 8.9784223700517863e+06 8.9593414327551238e+06 8.9382687000923231e+06 8.9147915127567109e+06 8.8889472840033807e+06 8.8597740561300591e+06 8.8270656319880430e+06 8.7903474018992651e+06 8.7491086125660110e+06 8.7028225460069980e+06 8.6509608853558358e+06 8.5929419700246770e+06 8.5288351737444159e+06 8.4575320044406820e+06 8.3792718193045910e+06 8.2942356679856349e+06 8.2030905518441098e+06 8.1069713250166615e+06 8.0080380520227551e+06 7.9095074632610520e+06 7.8166356440062523e+06 7.7360530776664503e+06 7.6781217151668705e+06 7.6572848897295110e+06 7.6945260475312658e+06 7.8203874444020381e+06 8.0811518090550657e+06 8.5500875062680673e+06 9.3506363335983790e+06 1.3187231632341978e+06 +1.3027575858620088e+01 3.8622163166409805e+07 3.8618228646217927e+07 3.8611519858913645e+07 3.8602432959856272e+07 3.8592685985836111e+07 3.8585161910054825e+07 3.8581233511523210e+07 3.8578653535059884e+07 3.8574974860803097e+07 3.8569464404352985e+07 3.8562117714233242e+07 3.8552683004358567e+07 3.8540760023975790e+07 3.8525920795079462e+07 3.8507701641352892e+07 3.8485545917779393e+07 3.8458785185920179e+07 3.8426636187444851e+07 3.8388183373830795e+07 3.8342351458250239e+07 3.8287885455985986e+07 3.8223298543028116e+07 3.8146569415069662e+07 3.8054228026115708e+07 3.7942363014279701e+07 3.7809015384848326e+07 3.7652177295775160e+07 3.7468609418818966e+07 3.7254336320232540e+07 3.7004873981094658e+07 3.6715267931738384e+07 3.6380116458059385e+07 3.5993622755777895e+07 3.5549689409308322e+07 3.5042070352166153e+07 3.4464585938862041e+07 3.3811423774056882e+07 3.3077526293660648e+07 3.2259074750805255e+07 3.1354046721922599e+07 3.0285625355753094e+07 2.9122148120328106e+07 2.7872790645853654e+07 2.6551943668089777e+07 2.5179161844047781e+07 2.3778458668115802e+07 2.2376883105771363e+07 2.1002465684253324e+07 1.9681821667854819e+07 1.8437699035100069e+07 1.7287114260798361e+07 1.6240668048181251e+07 1.5302639581630928e+07 1.4470936273794353e+07 1.3739173225512208e+07 1.3098600829149833e+07 1.2539148007796101e+07 1.2050858483415002e+07 1.1624377784725232e+07 1.1251781531234290e+07 1.0925928608426899e+07 1.0641218672743317e+07 1.0392522042695496e+07 1.0176120123830730e+07 9.9883713624036610e+06 9.8262447081660815e+06 9.6873842838653922e+06 9.5693351779128034e+06 9.4697305109038707e+06 9.3868298602724392e+06 9.3184937632292341e+06 9.2631340793361608e+06 9.2189414769364875e+06 9.1843406568586025e+06 9.1572097307681311e+06 9.1354906833441257e+06 9.1176266975781918e+06 9.1021523918582778e+06 9.0876477683592718e+06 9.0774153648399785e+06 9.0670936171800476e+06 9.0565661661393605e+06 9.0455413228850719e+06 9.0341685415873658e+06 9.0221232827437483e+06 9.0097972197840922e+06 8.9961102661674414e+06 8.9814622092910185e+06 8.9655834847353566e+06 8.9482635952548645e+06 8.9292467525805663e+06 8.9082448049816769e+06 8.8848464855167400e+06 8.8590890508779138e+06 8.8300138177575897e+06 8.7974152631382048e+06 8.7608203715624213e+06 8.7197201053711362e+06 8.6735895158474445e+06 8.6219020607817732e+06 8.5640780393685121e+06 8.5001865626484733e+06 8.4291229035315476e+06 8.3511255974112926e+06 8.2663750857939487e+06 8.1755361295842631e+06 8.0797397709177379e+06 7.9811388186089350e+06 7.8829392034714054e+06 7.7903793281661356e+06 7.7100674422428347e+06 7.6523306741286609e+06 7.6315638468111735e+06 7.6686799117980516e+06 7.7941185351373507e+06 8.0540069832683802e+06 8.5213675185523462e+06 9.3192272563782018e+06 1.3136899870156944e+06 +1.3032544181394346e+01 3.8510591484719135e+07 3.8506668075031117e+07 3.8499978391897336e+07 3.8490916985319681e+07 3.8481196717477784e+07 3.8473692023751475e+07 3.8469771733832926e+07 3.8467195157198936e+07 3.8463522202726588e+07 3.8458021693596125e+07 3.8450688969999276e+07 3.8441272754130073e+07 3.8429373692133926e+07 3.8414564736268446e+07 3.8396383200183459e+07 3.8374273642131418e+07 3.8347569065270692e+07 3.8315487893471636e+07 3.8277116544964515e+07 3.8231382053529605e+07 3.8177032151782170e+07 3.8112583256980866e+07 3.8036018537301660e+07 3.7943875631489329e+07 3.7832251557691872e+07 3.7699191574691452e+07 3.7542692624796741e+07 3.7359522896462373e+07 3.7145716166343831e+07 3.6896798947213016e+07 3.6607828624936230e+07 3.6273416708745807e+07 3.5887780985209294e+07 3.5444839923115186e+07 3.4938364448746257e+07 3.4362192704660460e+07 3.3710530364487305e+07 3.2978337474737007e+07 3.2161811408650391e+07 3.1258943055759247e+07 3.0193113244070161e+07 2.9032510856886007e+07 2.7786303040450942e+07 2.6468858234938838e+07 2.5099693259184755e+07 2.3702767996874750e+07 2.2305063887224115e+07 2.0934534229479145e+07 1.9617713582257405e+07 1.8377273463908158e+07 1.7230165343955643e+07 1.6186940709976185e+07 1.5251847665729342e+07 1.4422783473162042e+07 1.3693368970010534e+07 1.3054870844602281e+07 1.2497241767854432e+07 1.2010551629851203e+07 1.1585472425051246e+07 1.1214103134091819e+07 1.0889324604230613e+07 1.0605554027830368e+07 1.0357678208581360e+07 1.0141990545874590e+07 9.9548614398359377e+06 9.7932698383392766e+06 9.6548676250005830e+06 9.5372080618232209e+06 9.4379321399451140e+06 9.3553051939929314e+06 9.2871948984208871e+06 9.2320183220075890e+06 9.1879721122411080e+06 9.1534861240459718e+06 9.1264454503523447e+06 9.1047988705117349e+06 9.0869946430712920e+06 9.0715721986522488e+06 9.0571162575395051e+06 9.0469182208167333e+06 9.0366311474540699e+06 9.0261390649401713e+06 9.0151512624403127e+06 9.0038166912383959e+06 8.9918119081673641e+06 8.9795272394421566e+06 8.9658862708800938e+06 8.9512874280159734e+06 8.9354620520720966e+06 8.9182003530097436e+06 8.8992474019222949e+06 8.8783160151587725e+06 8.8549963137020357e+06 8.8293253983269241e+06 8.8003478495361973e+06 8.7678588164025526e+06 8.7313868726449981e+06 8.6904246908011921e+06 8.6444490858190469e+06 8.5929352844917066e+06 8.5353055396221746e+06 8.4716287004801761e+06 8.4008037928598654e+06 8.3230685330368495e+06 8.2386027563112481e+06 8.1480689902206818e+06 8.0525944769778848e+06 7.9543247926631784e+06 7.8564551027193666e+06 7.7642061832988895e+06 7.6841641203583088e+06 7.6266213302234598e+06 7.6059242792576198e+06 7.6429156476834025e+06 7.7679328366954094e+06 8.0269481429091254e+06 8.4927385058005303e+06 9.2879176723394468e+06 1.3086754500003306e+06 +1.3037512504168605e+01 3.8399308165721938e+07 3.8395395700575978e+07 3.8388725175674543e+07 3.8379689251219928e+07 3.8369995625374883e+07 3.8362510269720964e+07 3.8358598077446915e+07 3.8356024905237019e+07 3.8352357671956621e+07 3.8346867103798650e+07 3.8339548334238164e+07 3.8330150593000412e+07 3.8318275421827286e+07 3.8303496701664925e+07 3.8285352734860159e+07 3.8263289281035416e+07 3.8236640782895781e+07 3.8204627344097696e+07 3.8166337346660055e+07 3.8120700141679429e+07 3.8066466175061949e+07 3.8002155100472771e+07 3.7925754551560782e+07 3.7833809839693181e+07 3.7722426351320907e+07 3.7589653592526972e+07 3.7433493281438708e+07 3.7250721110240683e+07 3.7037380050574876e+07 3.6789007128578171e+07 3.6500671564386323e+07 3.6166998066061035e+07 3.5782218982561879e+07 3.5340268634663537e+07 3.4834934904354699e+07 3.4260073680664986e+07 3.3609908660136364e+07 3.2879417449749745e+07 3.2064813489856519e+07 3.1164100929228660e+07 3.0100857867855288e+07 2.8943124816517066e+07 2.7700060397949651e+07 2.6386010743448533e+07 2.5020454856332891e+07 2.3627299076888621e+07 2.2233457434360988e+07 2.0866806163340099e+07 1.9553799316844460e+07 1.8317032171237294e+07 1.7173391404612228e+07 1.6133379479534708e+07 1.5201213570627719e+07 1.4374780882200144e+07 1.3647708030750606e+07 1.3011278002075853e+07 1.2455467182714188e+07 1.1970371580487639e+07 1.1546689594854813e+07 1.1176543509506838e+07 1.0852836074259605e+07 1.0570001968672102e+07 1.0322944433615230e+07 1.0107968827282432e+07 9.9214574675548580e+06 9.7603992699871119e+06 9.6224538554725964e+06 9.5051826342376079e+06 9.4062344435741343e+06 9.3238803575822785e+06 9.2559951656586248e+06 9.2010011299349274e+06 9.1571008586058579e+06 9.1227293449959271e+06 9.0957786418841686e+06 9.0742043023255784e+06 9.0564596450653784e+06 9.0410888982174098e+06 9.0266814854545426e+06 9.0165177066946905e+06 9.0062651977847032e+06 8.9958083717258554e+06 8.9848574926229306e+06 8.9735610104352273e+06 8.9615965748581216e+06 8.9493531692881081e+06 8.9357580400641616e+06 8.9212082552676033e+06 8.9054360589054488e+06 8.8882323658816889e+06 8.8693431039262209e+06 8.8484820544241909e+06 8.8252407218445186e+06 8.7996560516733583e+06 8.7707758776939102e+06 8.7383960190209206e+06 8.7020466335142683e+06 8.6612220984955914e+06 8.6154009869827721e+06 8.5640602891805116e+06 8.5066242052548286e+06 8.4431613236822430e+06 8.3725744110757848e+06 8.2951003672574731e+06 8.2109184232422849e+06 8.1206888802749151e+06 8.0255351926854458e+06 7.9275957267463934e+06 7.8300549165920652e+06 7.7381159678573962e+06 7.6583428729790859e+06 7.6009934461887404e+06 7.5803659504640959e+06 7.6172330174138127e+06 7.7418301074258862e+06 7.9999750382684832e+06 8.4642002038184665e+06 9.2567072925252393e+06 1.3036794858400298e+06 +1.3042480826942864e+01 3.8288312766650446e+07 3.8284411232147463e+07 3.8277759646801651e+07 3.8268749144888341e+07 3.8259082101523146e+07 3.8251616041316167e+07 3.8247711935526423e+07 3.8245142172306165e+07 3.8241480661515236e+07 3.8236000027927861e+07 3.8228695199861564e+07 3.8219315913829446e+07 3.8207464605869807e+07 3.8192716084016174e+07 3.8174609638085626e+07 3.8152592227193370e+07 3.8125999731432997e+07 3.8094053931823403e+07 3.8055845171372771e+07 3.8010305115063757e+07 3.7956186918069385e+07 3.7892013465604536e+07 3.7815776849839181e+07 3.7724030042643033e+07 3.7612886786868460e+07 3.7480400829887643e+07 3.7324578656945407e+07 3.7142203451305829e+07 3.6929327363770656e+07 3.6681497915758990e+07 3.6393796140459388e+07 3.6060859920139611e+07 3.5676936137811244e+07 3.5235974933700748e+07 3.4731781108676143e+07 3.4158228256700754e+07 3.3509558051138524e+07 3.2780765609519720e+07 3.1968080386389442e+07 3.1069519735987954e+07 3.0008858623523012e+07 2.8853989399563242e+07 2.7614062124107152e+07 2.6303400606509682e+07 2.4941446057506982e+07 2.3552051341396015e+07 2.2162063193954222e+07 2.0799280948160376e+07 1.9490078351290029e+07 1.8256974655515261e+07 1.7116791960674178e+07 1.6079983894528521e+07 1.5150736853374438e+07 1.4326928076442217e+07 1.3602190000581849e+07 1.2967821910350256e+07 1.2413823875601485e+07 1.1930317971495649e+07 1.1508028941880113e+07 1.1139102315475948e+07 1.0816462685520986e+07 1.0534562170202550e+07 1.0288320399715602e+07 1.0074054656042974e+07 9.8881591388237271e+06 9.7276327009555884e+06 9.5901426770246550e+06 9.4732586002365761e+06 9.3746371296843570e+06 9.2925550612719953e+06 9.2248942771265712e+06 9.1700822168915700e+06 9.1263274310466908e+06 9.0920700357368458e+06 9.0652090221970230e+06 9.0437066962793935e+06 9.0260214215902817e+06 9.0107022090478055e+06 8.9963431710634474e+06 8.9862135417315979e+06 8.9759954877410121e+06 8.9655738064011689e+06 8.9546597336657755e+06 8.9434012197755165e+06 8.9314770037790779e+06 8.9192747306726910e+06 8.9057252954993639e+06 8.8912244132857714e+06 8.8755052279471792e+06 8.8583593571166098e+06 8.8395335824398808e+06 8.8187426472771484e+06 8.7955794351585675e+06 8.7700807369304001e+06 8.7412976291466691e+06 8.7090265989235602e+06 8.6727993832337745e+06 8.6321120587902255e+06 8.5864449510958847e+06 8.5352768081939612e+06 8.4780337714017332e+06 8.4147841693819966e+06 8.3444344974986808e+06 8.2672208418003125e+06 8.1833218309298046e+06 8.0933955468917070e+06 7.9985616681500310e+06 7.9009513740143264e+06 7.8037384012993043e+06 7.7121084409192521e+06 7.6326034616365666e+06 7.5754467853658842e+06 7.5548886244031275e+06 7.5916317838331247e+06 7.7158101062727291e+06 7.9730874202555539e+06 8.4357523490627035e+06 9.2255958287329953e+06 1.2987020284102722e+06 +1.3047449149717123e+01 3.8177604227672890e+07 3.8173714072027944e+07 3.8167081247677907e+07 3.8158096056070708e+07 3.8148455538864791e+07 3.8141008732549869e+07 3.8137112701877482e+07 3.8134546352169178e+07 3.8130890565139137e+07 3.8125419859725900e+07 3.8118128960498564e+07 3.8108768110204302e+07 3.8096940637760684e+07 3.8082222276833229e+07 3.8064153303247020e+07 3.8042181873867035e+07 3.8015645304106519e+07 3.7983767049845621e+07 3.7945639412240021e+07 3.7900196366758510e+07 3.7846193773786671e+07 3.7782157745264344e+07 3.7706084824829161e+07 3.7614535632915616e+07 3.7503632256832175e+07 3.7371432679078728e+07 3.7215948143460505e+07 3.7033969311478063e+07 3.6821557497578792e+07 3.6574270700124219e+07 3.6287201744278997e+07 3.5955001661809184e+07 3.5571931841570526e+07 3.5131958210779145e+07 3.4628902452240832e+07 3.4056655823361672e+07 3.3409477928493109e+07 3.2682381345706694e+07 3.1871611491077803e+07 3.0975198870645333e+07 2.9917114908454437e+07 2.8765104007331762e+07 2.7528307625675611e+07 2.6221027238031149e+07 2.4862666285728741e+07 2.3477024224790692e+07 2.2090880613853388e+07 2.0731958047365654e+07 1.9426550166368000e+07 1.8197100416229907e+07 1.7060366531172868e+07 1.6026753493665153e+07 1.5100417071994159e+07 1.4279224632413624e+07 1.3556814473325180e+07 1.2924502179135066e+07 1.2372311470645783e+07 1.1890390439944027e+07 1.1469490114727313e+07 1.1101779210774532e+07 1.0780204105851687e+07 1.0499234308185851e+07 1.0253805789574904e+07 1.0040247720898964e+07 9.8549661476747002e+06 9.6949698298070356e+06 9.5579337921411972e+06 9.4414356656187363e+06 9.3431399068820048e+06 9.2613290160187427e+06 9.1938919457100760e+06 9.1392612973290700e+06 9.0956515453175288e+06 9.0615079130195715e+06 9.0347363088373803e+06 9.0133057705625109e+06 8.9956796913852859e+06 8.9804118503500223e+06 8.9661010339999590e+06 8.9560054459001385e+06 8.9458217376173921e+06 8.9354350895790979e+06 8.9245577065303288e+06 8.9133370405607000e+06 8.9014529166131280e+06 8.8892916456393879e+06 8.8757877596618291e+06 8.8613356249960437e+06 8.8456692826236095e+06 8.8285810506670233e+06 8.8098185620019529e+06 8.7890975188926309e+06 8.7660121795559581e+06 8.7405991807986181e+06 8.7119128314944766e+06 8.6797502847099602e+06 8.6436448515322562e+06 8.6030943026754688e+06 8.5575807105854303e+06 8.5065845755482223e+06 8.4495339738751296e+06 8.3864969753415696e+06 8.3163837920883587e+06 8.2394296990362918e+06 8.1558127243574224e+06 8.0661887378722243e+06 7.9716736541197570e+06 7.8743914882549988e+06 7.7775053136449289e+06 7.6861833621513667e+06 7.6069456484911414e+06 7.5499811116759265e+06 7.5294920656506186e+06 7.5661117103524478e+06 7.6898725927931685e+06 7.9462850404165080e+06 8.4073946786523964e+06 9.1945829934608862e+06 1.2937430118094012e+06 +1.3052417472491381e+01 3.8067182357499130e+07 3.8063303436160289e+07 3.8056689371210143e+07 3.8047729378103986e+07 3.8038115331350885e+07 3.8030687738093853e+07 3.8026799771030486e+07 3.8024236839369178e+07 3.8020586777229078e+07 3.8015125993514754e+07 3.8007849010538712e+07 3.7998506576429278e+07 3.7986702911762513e+07 3.7972014674253732e+07 3.7953983124464065e+07 3.7932057615158513e+07 3.7905576894919097e+07 3.7873766092117906e+07 3.7835719463093236e+07 3.7790373290446401e+07 3.7736486135874569e+07 3.7672587332997143e+07 3.7596677870044760e+07 3.7505326003860533e+07 3.7394662154312968e+07 3.7262748533030957e+07 3.7107601133771531e+07 3.6926018083331034e+07 3.6714069844327673e+07 3.6467324873835452e+07 3.6180887767690748e+07 3.5849422682775937e+07 3.5467205485365428e+07 3.5028217857205778e+07 3.4526298326348506e+07 3.3955355772158429e+07 3.3309667684028216e+07 3.2584264050865822e+07 3.1775406197627176e+07 3.0881137728679206e+07 2.9825626120967977e+07 2.8676468042131823e+07 2.7442796310420614e+07 2.6138890052959967e+07 2.4784114965149157e+07 2.3402217162493255e+07 2.2019909143005677e+07 2.0664836925487313e+07 1.9363214243995126e+07 1.8137408953976180e+07 1.7004114636186410e+07 1.5973687816732658e+07 1.5050253785575679e+07 1.4231670127636861e+07 1.3511581043783324e+07 1.2881318419116925e+07 1.2330929592903525e+07 1.1850588623801798e+07 1.1431072762861410e+07 1.1064573855082508e+07 1.0744060003880892e+07 1.0464018059165495e+07 1.0219400286691381e+07 1.0006547711401941e+07 9.8218781888888106e+06 9.6624103558802940e+06 9.5258269040308632e+06 9.4097135369191077e+06 9.3117424844992626e+06 9.2302019334944114e+06 9.1629878850184698e+06 9.1085380864391439e+06 9.0650729178748038e+06 9.0310426943052355e+06 9.0043602200656515e+06 8.9830012440758701e+06 8.9654341738753952e+06 8.9502175420314204e+06 8.9359547946389951e+06 8.9258931398635805e+06 8.9157436683972720e+06 8.9053919425728582e+06 8.8945511328604296e+06 8.8833681947939489e+06 8.8715240357226934e+06 8.8594036369470824e+06 8.8459451557178814e+06 8.8315416140135545e+06 8.8159279470367432e+06 8.7988971711830087e+06 8.7801977678416464e+06 8.7595463951507192e+06 8.7365386816237848e+06 8.7112111106651518e+06 8.6826212130076345e+06 8.6505668056556005e+06 8.6145827688221671e+06 8.5741685618291851e+06 8.5288079985386301e+06 8.4779833259265795e+06 8.4211245491351299e+06 8.3582994799977913e+06 8.2884220354646686e+06 8.2117266819729451e+06 8.1283908491538512e+06 8.0390682016292792e+06 7.9448709019724643e+06 7.8479158238750175e+06 7.7513554110687049e+06 7.6603404918243233e+06 7.5813691962848464e+06 7.5245961896454049e+06 7.5041760393622462e+06 7.5406725609999616e+06 7.6640173271512622e+06 7.9195676509058736e+06 8.3791269303616602e+06 9.1636684999434445e+06 1.2888023703579358e+06 +1.3057385795265640e+01 3.7957046482143112e+07 3.7953178703962281e+07 3.7946583378432930e+07 3.7937648507994689e+07 3.7928060874074951e+07 3.7920652453373969e+07 3.7916772538246535e+07 3.7914213029104583e+07 3.7910568692936264e+07 3.7905117824424565e+07 3.7897854744952865e+07 3.7888530707459949e+07 3.7876750822762646e+07 3.7862092671196371e+07 3.7844098496583551e+07 3.7822218845860444e+07 3.7795793898549452e+07 3.7764050453221887e+07 3.7726084718490705e+07 3.7680835280646130e+07 3.7627063398696274e+07 3.7563301623077899e+07 3.7487555379589848e+07 3.7396400549478658e+07 3.7285975873226605e+07 3.7154347785500810e+07 3.6999537021342568e+07 3.6818349160185136e+07 3.6606863797113962e+07 3.6360659829757549e+07 3.6074853603374533e+07 3.5744122375443704e+07 3.5362756461421765e+07 3.4924753265179552e+07 3.4423968123147994e+07 3.3854327495310165e+07 3.3210126710449819e+07 3.2486413118395764e+07 3.1679463900652044e+07 3.0787335706507497e+07 2.9734391660340559e+07 2.8588080907265078e+07 2.7357527587085232e+07 2.6056988467269957e+07 2.4705791520927399e+07 2.3327629591031112e+07 2.1949148231448501e+07 2.0597917048158526e+07 1.9300070067147464e+07 1.8077899770438101e+07 1.6948035796889834e+07 1.5920786404550176e+07 1.5000246554223664e+07 1.4184264140651483e+07 1.3466489307716016e+07 1.2838270241876855e+07 1.2289677868328869e+07 1.1810912161906011e+07 1.1392776536591675e+07 1.1027485908871476e+07 1.0708030049069365e+07 1.0428913100494163e+07 1.0185103575315110e+07 9.9729543178560864e+06 9.7888949580335226e+06 9.6299539792621620e+06 9.4938217166873720e+06 9.3780919214143064e+06 9.2804445726185422e+06 9.1991735261019729e+06 9.1321818093858641e+06 9.0779123001353536e+06 9.0345912658779230e+06 9.0006740977623016e+06 8.9740804748364948e+06 8.9527928364311308e+06 8.9352845892139319e+06 8.9201190047131050e+06 8.9059041740273852e+06 8.8958763449960351e+06 8.8857610017628707e+06 8.8754440873849243e+06 8.8646397349991500e+06 8.8534944051637575e+06 8.8416900841809455e+06 8.8296104280369859e+06 8.8161972075301427e+06 8.8018421046548225e+06 8.7862809459893424e+06 8.7693074439899586e+06 8.7506709258734249e+06 8.7300890026198570e+06 8.7071586686559226e+06 8.6819162546028588e+06 8.6534225026621521e+06 8.6214758917366881e+06 8.5856128661891147e+06 8.5453345686078425e+06 8.5001265487329960e+06 8.4494727946880218e+06 8.3928052343032490e+06 8.3301914224339202e+06 8.2605489688974554e+06 8.1841115342894411e+06 8.1010559515822986e+06 8.0120336872158470e+06 7.9181531636908287e+06 7.8215241358888997e+06 7.7252884515915038e+06 7.6345795908154696e+06 7.5558738683487857e+06 7.4992917843795484e+06 7.4789403112866068e+06 7.5153141003823327e+06 7.6382440700914469e+06 7.8929350045029474e+06 8.3509488426383426e+06 9.1328520621218309e+06 1.2838800385978753e+06 +1.3062354118039899e+01 3.7847195975541353e+07 3.7843339149083361e+07 3.7836762632220350e+07 3.7827852845284514e+07 3.7818291563152373e+07 3.7810902274418496e+07 3.7807030399510697e+07 3.7804474317274474e+07 3.7800835708069794e+07 3.7795394748239055e+07 3.7788145559514336e+07 3.7778839898999251e+07 3.7767083766450971e+07 3.7752455663181148e+07 3.7734498815114528e+07 3.7712664961374767e+07 3.7686295710410729e+07 3.7654619528518938e+07 3.7616734573647365e+07 3.7571581732541554e+07 3.7517924957313359e+07 3.7454300010478184e+07 3.7378716748394854e+07 3.7287758664516352e+07 3.7177572808183134e+07 3.7046229830911763e+07 3.6891755200490318e+07 3.6710961936133005e+07 3.6499938749805287e+07 3.6254274961477563e+07 3.5969098644707099e+07 3.5639100133029789e+07 3.5258584162778072e+07 3.4821563827628143e+07 3.4321911235574052e+07 3.3753570386003725e+07 3.3110854401255690e+07 3.2388827942620538e+07 3.1583783995674238e+07 3.0693792201530375e+07 2.9643410926750753e+07 2.8499942006997932e+07 2.7272500865454208e+07 2.5975321897979110e+07 2.4627695379332516e+07 2.3253260948010474e+07 2.1878597330325078e+07 2.0531197882097546e+07 1.9237117119907405e+07 1.8018572368404433e+07 1.6892129535516664e+07 1.5868048799014278e+07 1.4950394939071210e+07 1.4137006250987537e+07 1.3421538861857779e+07 1.2795357259975996e+07 1.2248555923787510e+07 1.1771360693987466e+07 1.1354601087108012e+07 1.0990515033467943e+07 1.0672113911712134e+07 1.0393919110326303e+07 1.0150915340523951e+07 9.9394672313308455e+06 9.7560161514045931e+06 9.5976004007843826e+06 9.4619179347920567e+06 9.3465705271087606e+06 9.2492458820212241e+06 9.1682435069597382e+06 9.1014734338576552e+06 9.0473836550254393e+06 9.0042063072116207e+06 8.9704018422624581e+06 8.9438967928228267e+06 8.9226802679260913e+06 8.9052306582450513e+06 8.8901159597076252e+06 8.8759488939135130e+06 8.8659547833574172e+06 8.8558734600991048e+06 8.8455912467300184e+06 8.8348232360009681e+06 8.8237153950709794e+06 8.8119507857440542e+06 8.7999117430489864e+06 8.7865436396633964e+06 8.7722368219313025e+06 8.7567280049805902e+06 8.7398115951171890e+06 8.7212377627028618e+06 8.7007250685375202e+06 8.6778718686019909e+06 8.6527143413585946e+06 8.6243164300925676e+06 8.5924772735901102e+06 8.5567348753934577e+06 8.5165920560230222e+06 8.4715360955872573e+06 8.4210527178430147e+06 8.3645757671743613e+06 8.3021725423944369e+06 8.2327643342954163e+06 8.1565840002767146e+06 8.0738077785441447e+06 7.9850849443170279e+06 7.8915201918899445e+06 7.7952161799350707e+06 7.6993041938668294e+06 7.6089004205921451e+06 7.5304594286280340e+06 7.4740676615888486e+06 7.4537846477644574e+06 7.4900360936980462e+06 7.6125525829933984e+06 7.8663868546170881e+06 8.3228601545663113e+06 9.1021333946548160e+06 1.2789759512920184e+06 +1.3067322440814158e+01 3.7737629961540699e+07 3.7733784278629400e+07 3.7727226535241440e+07 3.7718341790074892e+07 3.7708806795576863e+07 3.7701436597926758e+07 3.7697572751455761e+07 3.7695020100475289e+07 3.7691387219169654e+07 3.7685956161422037e+07 3.7678720850647211e+07 3.7669433547429621e+07 3.7657701139142327e+07 3.7643103046528347e+07 3.7625183476275086e+07 3.7603395357885487e+07 3.7577081726644687e+07 3.7545472714030169e+07 3.7507668424589574e+07 3.7462612041981779e+07 3.7409070207566239e+07 3.7345581890908368e+07 3.7270161371980138e+07 3.7179399744445182e+07 3.7069452354481749e+07 3.6938394064430222e+07 3.6784255066215828e+07 3.6603855805897035e+07 3.6393294096964978e+07 3.6148169663383275e+07 3.5863622285873100e+07 3.5534355349510007e+07 3.5154687983264029e+07 3.4718648938244641e+07 3.4220127057384677e+07 3.3653083838168174e+07 3.3011850150873110e+07 3.2291507918688525e+07 3.1488365879082460e+07 3.0600506611932311e+07 2.9552683321399011e+07 2.8412050746563528e+07 2.7187715556313887e+07 2.5893889763163567e+07 2.4549825967640311e+07 2.3179110672094680e+07 2.1808255891870584e+07 2.0464678895143189e+07 1.9174354887497015e+07 1.7959426251748785e+07 1.6836395375392359e+07 1.5815474543050854e+07 1.4900698502278607e+07 1.4089896039160673e+07 1.3376729303912368e+07 1.2752579086875672e+07 1.2207563387086194e+07 1.1731933860661812e+07 1.1316546066446567e+07 1.0953660891041793e+07 1.0636311262904108e+07 1.0359035767626919e+07 1.0116835268157735e+07 9.9060861436935402e+06 9.7232414660676252e+06 9.5653493220192231e+06 9.4301152638090104e+06 9.3151490627385844e+06 9.2181461242218949e+06 9.1374115899012815e+06 9.0708624741946645e+06 9.0169518684297409e+06 8.9739177604581565e+06 8.9402256473899931e+06 8.9138088943851534e+06 8.8926632595852055e+06 8.8752721025161445e+06 8.8602081290178653e+06 8.8460886767573804e+06 8.8361281777265240e+06 8.8260807664937396e+06 8.8158331440077070e+06 8.8051013595993929e+06 8.7940308886020295e+06 8.7823058648754749e+06 8.7703073068101015e+06 8.7569841773636546e+06 8.7427254915313963e+06 8.7272688501836248e+06 8.7104093512685206e+06 8.6918980056237467e+06 8.6714543208426647e+06 8.6486780101222657e+06 8.6236051003790945e+06 8.5953027256210595e+06 8.5635706825311985e+06 8.5279485288749095e+06 8.4879407577669583e+06 8.4430363742096256e+06 8.3927228320714608e+06 8.3364358861814039e+06 8.2742425802755356e+06 8.2050678742353423e+06 8.1291438248909703e+06 8.0466460775729250e+06 7.9582217232385967e+06 7.8649717398131303e+06 7.7689917122551519e+06 7.6734023971342975e+06 7.5833027432383252e+06 7.5051256416437346e+06 7.4489235875600623e+06 7.4287088157178918e+06 7.4648383067379696e+06 7.5869426278040251e+06 7.8399229552667234e+06 8.2948606059015831e+06 9.0715122129348516e+06 1.2740900434232696e+06 +1.3072290763588416e+01 3.7628348456709191e+07 3.7624513518759668e+07 3.7617974507966377e+07 3.7609114741827600e+07 3.7599605969185539e+07 3.7592254821271516e+07 3.7588398991475485e+07 3.7585849776103750e+07 3.7582222623493083e+07 3.7576801461204976e+07 3.7569580015533596e+07 3.7560311049838863e+07 3.7548602337830611e+07 3.7534034218228109e+07 3.7516151876981869e+07 3.7494409432302371e+07 3.7468151344053738e+07 3.7436609406553701e+07 3.7398885667976640e+07 3.7353925605595708e+07 3.7300498545936897e+07 3.7237146660808697e+07 3.7161888646701850e+07 3.7071323185477629e+07 3.6961613908212014e+07 3.6830839881974556e+07 3.6677036014170699e+07 3.6497030165054932e+07 3.6286929233947791e+07 3.6042343330632173e+07 3.5758423921815157e+07 3.5429887419615373e+07 3.5051067317447767e+07 3.4616007991608188e+07 3.4118614983168706e+07 3.3552867246588022e+07 3.2913113354527544e+07 3.2194452442683786e+07 3.1393208948215727e+07 3.0507478336986363e+07 2.9462208246378578e+07 2.8324406532174345e+07 2.7103171071455751e+07 2.5812691481888879e+07 2.4472182714235958e+07 2.3105178203049008e+07 2.1738123369406220e+07 2.0398359556247585e+07 1.9111782856209241e+07 1.7900460925426096e+07 1.6780832840911340e+07 1.5763063180654997e+07 1.4851156807032079e+07 1.4042933086698508e+07 1.3332060232534569e+07 1.2709935336991789e+07 1.2166699886885915e+07 1.1692631303406203e+07 1.1278611127502166e+07 1.0916923144591773e+07 1.0600621774552599e+07 1.0324262752126565e+07 1.0082863044828627e+07 9.8728107475305609e+06 9.6905705998561364e+06 9.5332004452981073e+06 9.3984134099105503e+06 9.2838272377739660e+06 9.1871450114837922e+06 9.1066774894919377e+06 9.0403486468713228e+06 8.9866166583943218e+06 8.9437253449149225e+06 8.9101452334398329e+06 8.8838165006060321e+06 8.8627415331219397e+06 8.8454086442750823e+06 8.8303952353711855e+06 8.8163232457225993e+06 8.8063962515638042e+06 8.7963826447210237e+06 8.7861695033188593e+06 8.7754738302372973e+06 8.7644406105349325e+06 8.7527550467149951e+06 8.7407968448545355e+06 8.7275185465726256e+06 8.7133078398510441e+06 8.6979032084744647e+06 8.6811004398537651e+06 8.6626513826092072e+06 8.6422764881546479e+06 8.6195768225407824e+06 8.5945882617621459e+06 8.5663811202604137e+06 8.5347558505580667e+06 8.4992535597406775e+06 8.4593804082065262e+06 8.4146271203626897e+06 8.3644828747146688e+06 8.3083853304471569e+06 8.2464012771250894e+06 8.1774593319229046e+06 8.1017907537220577e+06 8.0195705968492692e+06 7.9314437749263570e+06 7.8385075613154732e+06 7.7428504897180106e+06 7.6475828212459460e+06 7.5577863214207049e+06 7.4798722725153789e+06 7.4238593291667290e+06 7.4037125826613689e+06 7.4397205058875009e+06 7.5614139670840325e+06 7.8135430610976219e+06 8.2669499370433250e+06 9.0409882330496479e+06 1.2692222501939628e+06 +1.3077259086362675e+01 3.7519350411322907e+07 3.7515526331488907e+07 3.7509005967477165e+07 3.7500171099150799e+07 3.7490688482287467e+07 3.7483356342520595e+07 3.7479508517674178e+07 3.7476962742110841e+07 3.7473341318968721e+07 3.7467930045471385e+07 3.7460722451984212e+07 3.7451471804059349e+07 3.7439786760337152e+07 3.7425248575981550e+07 3.7407403414950892e+07 3.7385706582182407e+07 3.7359503960157841e+07 3.7328029003485322e+07 3.7290385701214835e+07 3.7245521820738867e+07 3.7192209369686827e+07 3.7128993717314057e+07 3.7053897969604500e+07 3.6963528384540312e+07 3.6854056866187572e+07 3.6723566680174276e+07 3.6570097440891050e+07 3.6390484409923822e+07 3.6180843556829393e+07 3.5936795359079868e+07 3.5653502948233224e+07 3.5325695738902435e+07 3.4947721560812950e+07 3.4513640383053437e+07 3.4017374408335052e+07 3.3452920006910596e+07 3.2814643408318859e+07 3.2097660911442678e+07 3.1298312601264674e+07 3.0414706776763726e+07 2.9371985104776386e+07 2.8237008771065082e+07 2.7018866823663544e+07 2.5731726474308532e+07 2.4394765048515372e+07 2.3031462981738612e+07 2.1668199217356723e+07 2.0332239335418016e+07 1.9049400513410568e+07 1.7841675895473778e+07 1.6725441457516095e+07 1.5710814256870603e+07 1.4801769417538747e+07 1.3996116976120148e+07 1.3287531247363931e+07 1.2667425625680238e+07 1.2125965052777458e+07 1.1653452664592803e+07 1.1240795924030768e+07 1.0880301457935298e+07 1.0565045119391868e+07 1.0289599744385783e+07 1.0048998357948730e+07 9.8396407362537663e+06 9.6580032513483763e+06 9.5011534736938458e+06 9.3668120800301358e+06 9.2526047624163646e+06 9.1562422567517981e+06 9.0760409210043550e+06 9.0099316690751929e+06 8.9563777436682060e+06 8.9136287805784438e+06 8.8801603213833850e+06 8.8539193332598172e+06 8.8329148109512553e+06 8.8156400064676348e+06 8.8006770021724720e+06 8.7866523246455602e+06 8.7767587290249616e+06 8.7667788192595206e+06 8.7566000494543314e+06 8.7459403730331324e+06 8.7349442863455135e+06 8.7232980571152754e+06 8.7113800833833721e+06 8.6981464739198703e+06 8.6839835939638857e+06 8.6686308074183054e+06 8.6518845889490061e+06 8.6334976223318446e+06 8.6131912997670583e+06 8.5905680358786304e+06 8.5656635563219525e+06 8.5375513456793148e+06 8.5060325103394240e+06 8.4706497017684914e+06 8.4309107423690856e+06 8.3863080704854298e+06 8.3363325837769229e+06 8.2804238397112014e+06 8.2186483746417686e+06 8.1499384512290219e+06 8.0745245329977851e+06 7.9925810851661311e+06 7.9047508509421684e+06 7.8121274108684696e+06 7.7167922697938085e+06 7.6218452266634628e+06 7.5323509184092665e+06 7.4546990869530439e+06 7.3988746538770236e+06 7.3787957166874753e+06 7.4146824581122324e+06 7.5359663639954831e+06 7.7872469273659643e+06 8.2391278890537471e+06 9.0105611718132291e+06 1.2643725070251739e+06 +1.3082227409136934e+01 3.7410635316117235e+07 3.7406822036074027e+07 3.7400320310189590e+07 3.7391510260766126e+07 3.7382053733637430e+07 3.7374740560272209e+07 3.7370900728933148e+07 3.7368358397303119e+07 3.7364742704260834e+07 3.7359341312831417e+07 3.7352147558628410e+07 3.7342915208601356e+07 3.7331253805102117e+07 3.7316745518205822e+07 3.7298937488477446e+07 3.7277286205844119e+07 3.7251138973186411e+07 3.7219730903090119e+07 3.7182167922421791e+07 3.7137400085385107e+07 3.7084202076779395e+07 3.7021122458277568e+07 3.6946188738409489e+07 3.6856014739283264e+07 3.6746780625901669e+07 3.6616573856427133e+07 3.6463438743564032e+07 3.6284217937467404e+07 3.6075036462466486e+07 3.5831525145422615e+07 3.5548858761574239e+07 3.5221779703667425e+07 3.4844650109506011e+07 3.4411545508726813e+07 3.3916404729112774e+07 3.3353241515590470e+07 3.2716439709191270e+07 3.2001132722827297e+07 3.1203676237332731e+07 3.0322191332327470e+07 2.9282013300601929e+07 2.8149856871404707e+07 2.6934802226762030e+07 2.5650994161561430e+07 2.4317572400983103e+07 2.2957964450081240e+07 2.1598482891222619e+07 2.0266317703793306e+07 1.8987207347596709e+07 1.7783070669050064e+07 1.6670220751756936e+07 1.5658727317776605e+07 1.4752535899026630e+07 1.3949447290919444e+07 1.3243141948989261e+07 1.2625049569224371e+07 1.2085358515278216e+07 1.1614397587470749e+07 1.1203100110627472e+07 1.0843795495744323e+07 1.0529580970961699e+07 1.0255046425738178e+07 1.0015240895702217e+07 9.8065758040054515e+06 9.6255391198730655e+06 9.4692081110275667e+06 9.3353109818139486e+06 9.2214813475714028e+06 9.1254375737253074e+06 9.0455016004317477e+06 8.9796112587123476e+06 8.9262348436980564e+06 8.8836277881550491e+06 8.8502706329279598e+06 8.8241171148276981e+06 8.8031828161822967e+06 8.7859659127400089e+06 8.7710531535303760e+06 8.7570756380784865e+06 8.7472153349727634e+06 8.7372690152741596e+06 8.7271245079096500e+06 8.7165007138183564e+06 8.7055416422075927e+06 8.6939346225993168e+06 8.6820567493133694e+06 8.6688676867297478e+06 8.6547524816337582e+06 8.6394513752491735e+06 8.6227615273322575e+06 8.6044364541335143e+06 8.5841984856805261e+06 8.5616513808164038e+06 8.5368307155118566e+06 8.5088131342277881e+06 8.4774003952188864e+06 8.4421366894178856e+06 8.4025314959500749e+06 8.3580789616656015e+06 8.3082716979171028e+06 8.2525511544015110e+06 8.1909836151789343e+06 8.1225049766435958e+06 8.0473449095866261e+06 7.9656772919703396e+06 7.8781427034772998e+06 7.7858310435719714e+06 7.6908168105651448e+06 7.5961893744458565e+06 7.5069962980654379e+06 7.4296058512585163e+06 7.3739693297441015e+06 7.3539579864751296e+06 7.3897239309664397e+06 7.5105995822881171e+06 7.7610343099477720e+06 8.2113942036387110e+06 8.9802307467485387e+06 1.2595407495560423e+06 +1.3087195731911192e+01 3.7302202564353451e+07 3.7298400130155846e+07 3.7291916911412701e+07 3.7283131626056015e+07 3.7273701122327581e+07 3.7266406873873666e+07 3.7262575024712831e+07 3.7260036141070835e+07 3.7256426178746037e+07 3.7251034662633978e+07 3.7243854734715447e+07 3.7234640662694268e+07 3.7223002871307023e+07 3.7208524444046989e+07 3.7190753496691331e+07 3.7169147702319525e+07 3.7143055782149591e+07 3.7111714504184157e+07 3.7074231730393820e+07 3.7029559798351623e+07 3.6976476065873571e+07 3.6913532282261729e+07 3.6838760351651572e+07 3.6748781648045324e+07 3.6639784585600212e+07 3.6509860808824159e+07 3.6357059320130676e+07 3.6178230145534188e+07 3.5969507348470129e+07 3.5726532087044567e+07 3.5444490759110808e+07 3.5118138710981295e+07 3.4741852360491887e+07 3.4309722765572250e+07 3.3815705342502967e+07 3.3253831169920955e+07 3.2618501655012418e+07 3.1904867275498684e+07 3.1109299256440602e+07 3.0229931405622527e+07 2.9192292238844119e+07 2.8062950242362492e+07 2.6850976695584618e+07 2.5570493965866704e+07 2.4240604203176241e+07 2.2884682051057421e+07 2.1528973847642664e+07 2.0200594133629661e+07 1.8925202848365061e+07 1.7724644754359256e+07 1.6615170251232155e+07 1.5606801910504166e+07 1.4703455817743555e+07 1.3902923615599871e+07 1.3198891938966803e+07 1.2582806784835946e+07 1.2044879905774964e+07 1.1575465716166550e+07 1.1165523342758017e+07 1.0807404923512036e+07 1.0494229003600888e+07 1.0220602478322685e+07 9.9815903470441736e+06 9.7736156456956677e+06 9.5931779055259675e+06 9.4373640618347153e+06 9.3039098236537129e+06 9.1904567049100157e+06 9.0947306768022887e+06 9.0150592444803361e+06 8.9493871343850866e+06 8.8961876786488276e+06 8.8537220890538078e+06 8.8204758904655632e+06 8.7944095684826113e+06 8.7735452726321779e+06 8.7563860874327421e+06 8.7415234142504185e+06 8.7275929112616926e+06 8.7177657949512284e+06 8.7078529586286861e+06 8.6977426048564017e+06 8.6871545791030042e+06 8.6762324049666151e+06 8.6646644703924116e+06 8.6528265702357311e+06 8.6396819130058438e+06 8.6256142313077524e+06 8.6103646409037355e+06 8.5937309844477214e+06 8.5754676080451235e+06 8.5552977765374146e+06 8.5328265887404475e+06 8.5080894714974947e+06 8.4801662189436555e+06 8.4488592392039075e+06 8.4137142578025050e+06 8.3742424053114094e+06 8.3299395316647142e+06 8.2802999564596200e+06 8.2247670155861825e+06 8.1634067417382970e+06 8.0951586533262348e+06 8.0202516310024224e+06 7.9388589673286481e+06 7.8516190853529973e+06 7.7596182151387278e+06 7.6649238707311265e+06 7.5706150262618018e+06 7.4817222248635059e+06 7.4045923323151013e+06 7.3491431254012287e+06 7.3291991612905813e+06 7.3648446925953599e+06 7.4853133863078877e+06 7.7349049653382180e+06 8.1837486231653485e+06 8.9499966760990843e+06 1.2547269136430928e+06 +1.3092164054685451e+01 3.7194051441789486e+07 3.7190259930261031e+07 3.7183795151814967e+07 3.7175034595122553e+07 3.7165630047888547e+07 3.7158354683367260e+07 3.7154530805335760e+07 3.7151995373605438e+07 3.7148391142499410e+07 3.7143009494943433e+07 3.7135843380240090e+07 3.7126647566280551e+07 3.7115033358859107e+07 3.7100584753316604e+07 3.7082850839340515e+07 3.7061290471334666e+07 3.7035253786684327e+07 3.7003979206469819e+07 3.6966576524715222e+07 3.6922000359083250e+07 3.6869030736395128e+07 3.6806222588619150e+07 3.6731612208539605e+07 3.6641828509987324e+07 3.6533068144309834e+07 3.6403426936165348e+07 3.6250958569305725e+07 3.6072520432588913e+07 3.5864255613144062e+07 3.5621815582134224e+07 3.5340398338848881e+07 3.5014772158808202e+07 3.4639327711582303e+07 3.4208171551366448e+07 3.3715275646378286e+07 3.3154688368039060e+07 3.2520828644400146e+07 3.1808863969006397e+07 3.1015181059491694e+07 3.0137926399553426e+07 2.9102821325409386e+07 2.7976288294100258e+07 2.6767389645944141e+07 2.5490225310467891e+07 2.4163859887706973e+07 2.2811615228759930e+07 2.1459671544272833e+07 2.0135068098223574e+07 1.8863386506393105e+07 1.7666397660727844e+07 1.6560289484614249e+07 1.5555037583240014e+07 1.4654528740949353e+07 1.3856545535643546e+07 1.3154780819798585e+07 1.2540696890649682e+07 1.2004528856568143e+07 1.1536656695685083e+07 1.1128065276730193e+07 1.0771129407544557e+07 1.0458988892475244e+07 1.0186267585068882e+07 9.9480464017123356e+06 9.7407599569951892e+06 9.5609193091317248e+06 9.4056210314380433e+06 9.2726083146637361e+06 9.1595305468004439e+06 9.0641212811115272e+06 8.9847135705618411e+06 8.9192590154147726e+06 8.8662359693837054e+06 8.8239114053839874e+06 8.7907758170959484e+06 8.7647964181001950e+06 8.7440019048067741e+06 8.7269002555786930e+06 8.7120875098367631e+06 8.6982038701296318e+06 8.6884098352061752e+06 8.6785303758717682e+06 8.6684540671701208e+06 8.6579016960893888e+06 8.6470163021811359e+06 8.6354873284038901e+06 8.6236892744223699e+06 8.6105888814393505e+06 8.5965685721272845e+06 8.5813703339997847e+06 8.5647926904403418e+06 8.5465908147655223e+06 8.5264889036950413e+06 8.5040933916921467e+06 8.4794395570984818e+06 8.4516103335282039e+06 8.4204087769860737e+06 8.3853821427166183e+06 8.3460432074909350e+06 8.3018895189009001e+06 8.2524170993803684e+06 8.1970711649777545e+06 8.1359174979678737e+06 8.0678992270712387e+06 7.9932444453783808e+06 7.9121258619455472e+06 7.8251797500108248e+06 7.7334886819031062e+06 7.6391132095876457e+06 7.5451219443671657e+06 7.4565284638448879e+06 7.3796582976124911e+06 7.3243958100622743e+06 7.3045190109784249e+06 7.3400445117247887e+06 7.4601075410019029e+06 7.7088586506348504e+06 8.1561908906327216e+06 8.9198586788053941e+06 1.2499309353595593e+06 +1.3097132377459710e+01 3.7086181485505924e+07 3.7082400867601909e+07 3.7075954423314095e+07 3.7067218567903370e+07 3.7057839910371460e+07 3.7050583389399111e+07 3.7046767471748710e+07 3.7044235495806314e+07 3.7040636996342376e+07 3.7035265210464798e+07 3.7028112895936146e+07 3.7018935320041917e+07 3.7007344668375656e+07 3.6992925846633695e+07 3.6975228916959457e+07 3.6953713913351946e+07 3.6927732387238294e+07 3.6896524410243511e+07 3.6859201705706909e+07 3.6814721167819135e+07 3.6761865488436289e+07 3.6699192777376376e+07 3.6624743708980940e+07 3.6535154724930562e+07 3.6426630701729342e+07 3.6297271638113238e+07 3.6145135890497491e+07 3.5967088197949052e+07 3.5759280655638784e+07 3.5517375029641129e+07 3.5236580899546668e+07 3.4911679445711695e+07 3.4537075561347999e+07 3.4106891264690265e+07 3.3615115039452158e+07 3.3055812508946758e+07 3.2423420076893404e+07 3.1713122203768454e+07 3.0921321048289448e+07 3.0046175717967778e+07 2.9013599967214279e+07 2.7889870437734466e+07 2.6684040494689841e+07 2.5410187619630333e+07 2.4087338888227206e+07 2.2738763428362317e+07 2.1390575439928390e+07 2.0069739072018914e+07 1.8801757813438293e+07 1.7608328898525566e+07 1.6505577981635796e+07 1.5503433885195991e+07 1.4605754236950977e+07 1.3810312637535188e+07 1.3110808194961753e+07 1.2498719505735492e+07 1.1964305000862241e+07 1.1497970171882395e+07 1.1090725569694256e+07 1.0734968615013022e+07 1.0423860313553747e+07 1.0152041429672113e+07 9.9146087502258364e+06 9.7080084343645927e+06 9.5287630322853923e+06 9.3739787258640807e+06 9.2414061647096593e+06 9.1287025863278322e+06 9.0336091024974156e+06 8.9544642968175411e+06 8.8892266218277328e+06 8.8363794374754224e+06 8.7941954599566441e+06 8.7611701365998723e+06 8.7352773882547673e+06 8.7145524379110038e+06 8.6975081429161541e+06 8.6827451664641909e+06 8.6689082413017340e+06 8.6591471826662514e+06 8.6493009942533094e+06 8.6392586224041153e+06 8.6287417926635537e+06 8.6178930620726906e+06 8.6064029252296947e+06 8.5946445908500291e+06 8.5815883214135114e+06 8.5676152338952124e+06 8.5524681848169249e+06 8.5359463761245608e+06 8.5178058056996483e+06 8.4977715991710238e+06 8.4754515223922301e+06 8.4508807058094125e+06 8.4231452123495098e+06 8.3920487439199500e+06 8.3571400806065928e+06 8.3179336401694026e+06 8.2739286624571448e+06 8.2246228673140947e+06 8.1694633449661480e+06 8.1085156281622089e+06 8.0407264443086013e+06 7.9663231015072269e+06 7.8854777271439005e+06 7.7988244514979059e+06 7.7074422008001581e+06 7.6133845870535588e+06 7.5197098916336270e+06 7.4314147806680836e+06 7.3548035152028697e+06 7.2997271535364669e+06 7.2799173059706660e+06 7.3153231576569499e+06 7.4349818119067904e+06 7.6828951235625353e+06 8.1287207497137710e+06 8.8898164745308254e+06 1.2451527509947061e+06 +1.3102100700233969e+01 3.6978592006890580e+07 3.6974822284612812e+07 3.6968394128646716e+07 3.6959682943688743e+07 3.6950330110571779e+07 3.6943092393382125e+07 3.6939284425641857e+07 3.6936755909262545e+07 3.6933163141756028e+07 3.6927801210717738e+07 3.6920662683187522e+07 3.6911503325351693e+07 3.6899936201166369e+07 3.6885547125249870e+07 3.6867887130815633e+07 3.6846417429552481e+07 3.6820490984899744e+07 3.6789349516567416e+07 3.6752106674299829e+07 3.6707721625460327e+07 3.6654979722880073e+07 3.6592442249337390e+07 3.6518154253700137e+07 3.6428759693469182e+07 3.6320471658290960e+07 3.6191394314969473e+07 3.6039590683902852e+07 3.5861932841606632e+07 3.5654581875835672e+07 3.5413209829282187e+07 3.5133037840829648e+07 3.4808859971168384e+07 3.4435095309150703e+07 3.4005881304888345e+07 3.3515222921242781e+07 3.2957202992447622e+07 3.2326275352903668e+07 3.1617641381124441e+07 3.0827718625559665e+07 2.9954678765597723e+07 2.8924627572085898e+07 2.7803696085409295e+07 2.6600928659661386e+07 2.5330380318660274e+07 2.4011040639468923e+07 2.2666126096071146e+07 2.1321684994467817e+07 2.0004606530539103e+07 1.8740316262383364e+07 1.7550437979246821e+07 1.6451035273097610e+07 1.5451990366643580e+07 1.4557131875030771e+07 1.3764224508726563e+07 1.3066973668871328e+07 1.2456874250105385e+07 1.1924207972750237e+07 1.1459405791506110e+07 1.1053503879653053e+07 1.0698922213871634e+07 1.0388842943603264e+07 1.0117923696659209e+07 9.8812770838662516e+06 9.6753607749763709e+06 9.4967087773313038e+06 9.3424368518953566e+06 9.2103030843657143e+06 9.0979725373316333e+06 9.0031938575140089e+06 8.9243111420774646e+06 8.8592896743549500e+06 8.8066178051944003e+06 8.7645739762882851e+06 8.7316585734712854e+06 8.7058522042097300e+06 8.6851965978457816e+06 8.6682094758621883e+06 8.6534961110307705e+06 8.6397057521023192e+06 8.6299775649547726e+06 8.6201645416948367e+06 8.6101559988082238e+06 8.5996745974098779e+06 8.5888624135696311e+06 8.5774109901425410e+06 8.5656922491645422e+06 8.5526799629833028e+06 8.5387539471346475e+06 8.5236579243479464e+06 8.5071917729943041e+06 8.4891123129053488e+06 8.4691455956644472e+06 8.4469007142448034e+06 8.4224126518094726e+06 8.3947705904593598e+06 8.3637788760283170e+06 8.3289878086092183e+06 8.2899134417079454e+06 8.2460567020747075e+06 8.1969170015516011e+06 8.1419432985679153e+06 8.0812008772629537e+06 8.0136400521083409e+06 7.9394873487926200e+06 7.8589143148878524e+06 7.7725529445167230e+06 7.6814785293959640e+06 7.5877377636420289e+06 7.4943786315220324e+06 7.4063809415683532e+06 7.3300277537467359e+06 7.2751369261993337e+06 7.2553938172640195e+06 7.2906804002929227e+06 7.4099359651493831e+06 7.6570141424468523e+06 8.1013379447052805e+06 8.8598697836399116e+06 1.2403922970531625e+06 +1.3107069023008227e+01 3.6871282640969098e+07 3.6867523536260791e+07 3.6861113686918207e+07 3.6852427121740326e+07 3.6843100050198570e+07 3.6835881097456127e+07 3.6832081069448233e+07 3.6829556016282968e+07 3.6825968981046297e+07 3.6820616897878811e+07 3.6813492144189328e+07 3.6804350984304972e+07 3.6792807359319888e+07 3.6778447991165146e+07 3.6760824882792994e+07 3.6739400421826638e+07 3.6713528981510140e+07 3.6682453927265219e+07 3.6645290832236454e+07 3.6601001133662201e+07 3.6548372841302224e+07 3.6485970405950271e+07 3.6411843244097739e+07 3.6322642816912755e+07 3.6214590415265627e+07 3.6085794367819369e+07 3.5934322350483365e+07 3.5757053764383122e+07 3.5550158674331613e+07 3.5309319381512202e+07 3.5029768562975451e+07 3.4706313135413691e+07 3.4333386355171368e+07 3.3905141072205991e+07 3.3415598692046478e+07 3.2858859219229512e+07 3.2229393873678189e+07 3.1522420903271928e+07 3.0734373194928072e+07 2.9863434948096786e+07 2.8835903548819795e+07 2.7717764650204826e+07 2.6518053559749592e+07 2.5250802833911933e+07 2.3934964577211719e+07 2.2593702679239899e+07 2.1252999668888941e+07 1.9939669950367074e+07 1.8679061347184010e+07 1.7492724415456146e+07 1.6396660890877061e+07 1.5400706578895649e+07 1.4508661225505393e+07 1.3718280737662751e+07 1.3023276846924996e+07 1.2415160744655777e+07 1.1884237407245195e+07 1.1420963202183675e+07 1.1016399865463106e+07 1.0662989872922417e+07 1.0353936460206740e+07 1.0083914071319845e+07 9.8480510946879368e+06 9.6428166768095382e+06 9.4647562473377958e+06 9.3109951170394309e+06 9.1792987849385161e+06 9.0673401143391952e+06 8.9728752634354793e+06 8.8942538259055223e+06 8.8294478944402561e+06 8.7769507955125645e+06 8.7350466785868593e+06 8.7022408529083095e+06 8.6765205919301473e+06 8.6559341111996565e+06 8.6390039815286417e+06 8.6243400711021703e+06 8.6105961305260230e+06 8.6009007103840839e+06 8.5911207468216624e+06 8.5811459253206868e+06 8.5706998395923544e+06 8.5599240862676315e+06 8.5485112531269658e+06 8.5368319796999190e+06 8.5238635368976034e+06 8.5099844430169985e+06 8.4949392842483204e+06 8.4785286132289059e+06 8.4605100691334996e+06 8.4406106265472639e+06 8.4184407013291474e+06 8.3940351299382914e+06 8.3664862035638336e+06 8.3355989099987587e+06 8.3009250644951370e+06 8.2619823511190368e+06 8.2182733781458233e+06 8.1692992440426089e+06 8.1145107694582958e+06 8.0539729908597516e+06 7.9866397981882878e+06 7.9127369372926094e+06 7.8324353777615745e+06 7.7463649843582660e+06 7.6555974258522959e+06 7.5621725004685959e+06 7.4691279280896056e+06 7.3814267133759521e+06 7.3053307824669220e+06 7.2506248990211301e+06 7.2309483164461087e+06 7.2661160100996206e+06 7.3849697674469966e+06 7.6312154662297349e+06 8.0740422205644185e+06 8.8300183271931857e+06 1.2356495102542432e+06 +1.3112037345782486e+01 3.6764252193707749e+07 3.6760504187811546e+07 3.6754112523109332e+07 3.6745450502976485e+07 3.6736149131964602e+07 3.6728948904506058e+07 3.6725156806310207e+07 3.6722635219902411e+07 3.6719053917089641e+07 3.6713711674900837e+07 3.6706600681834243e+07 3.6697477699762210e+07 3.6685957545566209e+07 3.6671627847091146e+07 3.6654041575637721e+07 3.6632662292860277e+07 3.6606845779676504e+07 3.6575837044820614e+07 3.6538753582018502e+07 3.6494559094844341e+07 3.6442044246027172e+07 3.6379776649504185e+07 3.6305810082301117e+07 3.6216803497317612e+07 3.6108986374583468e+07 3.5980471198482968e+07 3.5829330291875899e+07 3.5652450367842481e+07 3.5446010452524498e+07 3.5205703087629601e+07 3.4926772467139661e+07 3.4604038339466132e+07 3.4231948100396074e+07 3.3804669967619330e+07 3.3316241753058612e+07 3.2760780590797905e+07 3.2132775041339006e+07 3.1427460173289485e+07 3.0641284160940364e+07 2.9772443672118407e+07 2.8747427307156160e+07 2.7632075546209063e+07 2.6435414614784904e+07 2.5171454592772309e+07 2.3859110138295304e+07 2.2521492626220331e+07 2.1184518925217077e+07 1.9874928809249759e+07 1.8617992562869456e+07 1.7435187720746644e+07 1.6342454367899487e+07 1.5349582074290706e+07 1.4460341859711649e+07 1.3672480913784523e+07 1.2979717335443946e+07 1.2373578611250332e+07 1.1844392940216785e+07 1.1382642052384052e+07 1.0979413186823128e+07 1.0627171261800027e+07 1.0319140541740872e+07 1.0050012239732202e+07 9.8149304755311199e+06 9.6103758385738321e+06 9.4329051461458914e+06 9.2796532295455635e+06 9.1483929784836601e+06 9.0368050326198097e+06 8.9426530382484086e+06 8.8642920685516279e+06 8.7997010042185653e+06 8.7473781321162619e+06 8.7056132917573452e+06 8.6729167007786259e+06 8.6472822780664191e+06 8.6267647052531689e+06 8.6098913877330218e+06 8.5952767749353833e+06 8.5815791052779164e+06 8.5719163479513470e+06 8.5621693389388546e+06 8.5522281315578204e+06 8.5418172491619438e+06 8.5310778104614392e+06 8.5197034448161628e+06 8.5080635134707559e+06 8.4951387745810505e+06 8.4813064534034915e+06 8.4663119968491606e+06 8.4499566296826359e+06 8.4319988077978790e+06 8.4121664258658607e+06 8.3900712183820866e+06 8.3657478757185191e+06 8.3382917880596556e+06 8.3075085831913855e+06 8.2729515867212173e+06 8.2341401080811219e+06 8.1905784317207271e+06 8.1417693373710988e+06 8.0871655019641090e+06 8.0268317151788631e+06 7.9597254309057267e+06 7.8860716176798670e+06 7.8060406689703176e+06 7.7202603269519750e+06 7.6297986489585517e+06 7.5366885592681076e+06 7.4439575460033827e+06 7.3565518635132527e+06 7.2807123711962206e+06 7.2261908435370754e+06 7.2065805756847588e+06 7.2416297581384378e+06 7.3600829861139208e+06 7.6054988544602059e+06 8.0468333228853252e+06 8.8002618269836269e+06 1.2309243275312847e+06 +1.3117005668556745e+01 3.6657500925251842e+07 3.6653763484882660e+07 3.6647390047580428e+07 3.6638752490918376e+07 3.6629476759737059e+07 3.6622295218186036e+07 3.6618511040044047e+07 3.6615992923860408e+07 3.6612417353664868e+07 3.6607084945373200e+07 3.6599987699663378e+07 3.6590882875207633e+07 3.6579386163475178e+07 3.6565086096538313e+07 3.6547536612710714e+07 3.6526202445936516e+07 3.6500440782688975e+07 3.6469498272506140e+07 3.6432494326783642e+07 3.6388394912120141e+07 3.6335993340119191e+07 3.6273860382917322e+07 3.6200054171211749e+07 3.6111241137451731e+07 3.6003658938918144e+07 3.5875424209508523e+07 3.5724613910566323e+07 3.5548122054189458e+07 3.5342136612604678e+07 3.5102360349577621e+07 3.4824048955235176e+07 3.4502034985148929e+07 3.4130779946571060e+07 3.3704467392939545e+07 3.3217151506297022e+07 3.2662966509518232e+07 3.2036418258862890e+07 3.1332758595138498e+07 3.0548450928974502e+07 2.9681704345166612e+07 2.8659198257817201e+07 2.7546628188489940e+07 2.6353011245707460e+07 2.5092335023667581e+07 2.3783476760636993e+07 2.2449495386489280e+07 2.1116242226631623e+07 1.9810382585959289e+07 1.8557109405628640e+07 1.7377827409878466e+07 1.6288415238152750e+07 1.5298616406209229e+07 1.4412173349972701e+07 1.3626824627497887e+07 1.2936294741716370e+07 1.2332127472653762e+07 1.1804674208466083e+07 1.1344441991473071e+07 1.0942543504262619e+07 1.0591466050933609e+07 1.0284454867391024e+07 1.0016217888763957e+07 9.7819149199873284e+06 9.5780379597335085e+06 9.4011551783209462e+06 9.2484108984065279e+06 9.1175853777497057e+06 9.0063670081539620e+06 8.9125269006497413e+06 8.8344255909887720e+06 8.7700487265330926e+06 8.7178995393614210e+06 8.6762735414039697e+06 8.6436858436723035e+06 8.6181369899670891e+06 8.5976881079762615e+06 8.5808714229543805e+06 8.5663059514873028e+06 8.5526544057257771e+06 8.5430242073340956e+06 8.5333100480395332e+06 8.5234023478245530e+06 8.5130265567439105e+06 8.5023233171245940e+06 8.4909872965401430e+06 8.4793865821760967e+06 8.4665054081305694e+06 8.4527197108332291e+06 8.4377757951702047e+06 8.4214755558779053e+06 8.4035782630042005e+06 8.3838127283470239e+06 8.3617920008311830e+06 8.3375506253277929e+06 8.3101870809829831e+06 8.2795076336282482e+06 8.2450671144000934e+06 8.2063864529352644e+06 8.1629716045156801e+06 8.1143270248007765e+06 8.0599072410463830e+06 7.9997767970923949e+06 7.9328966992344419e+06 7.8594911412656205e+06 7.7797299423503634e+06 7.6942387288346775e+06 7.6040819581066007e+06 7.5112857023617104e+06 7.4188672505095256e+06 7.3317561599938087e+06 7.2561722903276412e+06 7.2018345318713142e+06 7.1822903677143054e+06 7.2172214160374571e+06 7.3352753890418131e+06 7.5798640673000133e+06 8.0197109979137573e+06 8.7706000054864865e+06 1.2262166860309760e+06 +1.3121973991331004e+01 3.6551027717231706e+07 3.6547300887457028e+07 3.6540945660845220e+07 3.6532332492088839e+07 3.6523082338316016e+07 3.6515919442954853e+07 3.6512143175248347e+07 3.6509628532656036e+07 3.6506058695094742e+07 3.6500736113707833e+07 3.6493652601992302e+07 3.6484565915005855e+07 3.6473092617210723e+07 3.6458822143659875e+07 3.6441309398192629e+07 3.6420020285179324e+07 3.6394313394585162e+07 3.6363437014262676e+07 3.6326512470467329e+07 3.6282507989327073e+07 3.6230219527318612e+07 3.6168221009951741e+07 3.6094574914468035e+07 3.6005955140897036e+07 3.5898607511680342e+07 3.5770652804226384e+07 3.5620172609696031e+07 3.5444068226594113e+07 3.5238536557458647e+07 3.4999290570237599e+07 3.4721597429920837e+07 3.4400302475024126e+07 3.4029881296292268e+07 3.3604532750830628e+07 3.3118327354566175e+07 3.2565416378585972e+07 3.1940322930107914e+07 3.1238315573677808e+07 3.0455872905431829e+07 2.9591216375718538e+07 2.8571215812472355e+07 2.7461421993102551e+07 2.6270842874352407e+07 2.5013443556033392e+07 2.3708063883168966e+07 2.2377710410614055e+07 2.1048169037331961e+07 1.9746030760415807e+07 1.8496411372632131e+07 1.7320642998637732e+07 1.6234543036698952e+07 1.5247809129082026e+07 1.4364155269656880e+07 1.3581311470193647e+07 1.2893008673986221e+07 1.2290806952556890e+07 1.1765080849671764e+07 1.1306362669652727e+07 1.0905790479171116e+07 1.0555873911590731e+07 1.0249879117144028e+07 9.9825307060475405e+06 9.7490041224304158e+06 9.5458027405286059e+06 9.3695060491863228e+06 9.2172678333405331e+06 9.0868756962261442e+06 8.9760257576391753e+06 8.8824965700544510e+06 8.8046541148812324e+06 8.7404907849391382e+06 8.6885147423320953e+06 8.6470271538232937e+06 8.6145480088410247e+06 8.5890844556656852e+06 8.5687040480382200e+06 8.5519438163860049e+06 8.5374273303902149e+06 8.5238217619347163e+06 8.5142240189106874e+06 8.5045426047966536e+06 8.4946683051091246e+06 8.4843274936575368e+06 8.4736603379038647e+06 8.4623625403169673e+06 8.4508009181919787e+06 8.4379631703353450e+06 8.4242239485198408e+06 8.4093304128927197e+06 8.3930851260273904e+06 8.3752481695116526e+06 8.3555492693764558e+06 8.3336027847592039e+06 8.3094431156181581e+06 8.2821718200597232e+06 8.2515957999906512e+06 8.2172713873010967e+06 8.1787211266621854e+06 8.1354526388860922e+06 8.0869720502142189e+06 8.0327357323337551e+06 7.9728079841193845e+06 7.9061533528118003e+06 7.8329952600004273e+06 7.7535029523624219e+06 7.6682999471644182e+06 7.5784471132954173e+06 7.4859636926879752e+06 7.3938568074620469e+06 7.3070393714119541e+06 7.2317103108409988e+06 7.1775557367257476e+06 7.1580774658452421e+06 7.1928907560116732e+06 7.3105467447246425e+06 7.5543108655164726e+06 7.9926749925322654e+06 8.7410325858814921e+06 1.2215265231126915e+06 +1.3126942314105262e+01 3.6444832080607988e+07 3.6441115869619988e+07 3.6434778770971924e+07 3.6426189915013812e+07 3.6416965273429193e+07 3.6409820983983770e+07 3.6406052617195353e+07 3.6403541451491833e+07 3.6399977346582465e+07 3.6394664584964938e+07 3.6387594793937474e+07 3.6378526224063486e+07 3.6367076311756082e+07 3.6352835393367767e+07 3.6335359336892575e+07 3.6314115215359583e+07 3.6288463020126477e+07 3.6257652674832590e+07 3.6220807417704999e+07 3.6176897731052734e+07 3.6124722212157711e+07 3.6062857935007699e+07 3.5989371716422573e+07 3.5900944911892243e+07 3.5793831497083612e+07 3.5666156386721417e+07 3.5516005793280885e+07 3.5340288288781598e+07 3.5135209690801471e+07 3.4896493153121501e+07 3.4619417294655412e+07 3.4298840212541148e+07 3.3929251552946083e+07 3.3504865444741458e+07 3.3019768701527622e+07 3.2468129602063756e+07 3.1844488459781606e+07 3.1144130514638737e+07 3.0363549497552395e+07 2.9500979173197791e+07 2.8483479383749750e+07 2.7376456377095837e+07 2.6188908923690863e+07 2.4934779620393820e+07 2.3632870945931043e+07 2.2306137150205594e+07 2.0980298822658084e+07 1.9681872813586049e+07 1.8435897962226056e+07 1.7263634003878608e+07 1.6180837299633957e+07 1.5197159798371132e+07 1.4316287193114214e+07 1.3535941034239994e+07 1.2849858741425307e+07 1.2249616675561346e+07 1.1725612502384735e+07 1.1268403738011837e+07 1.0869153773759525e+07 1.0520394515861083e+07 1.0215412971786097e+07 9.9489503800349031e+06 9.7161977779898308e+06 9.5136698819301166e+06 9.3379574648030084e+06 9.1862237447897978e+06 9.0562636481319796e+06 8.9457809984852280e+06 8.8525617665743511e+06 8.7749773626128919e+06 8.7110269036704507e+06 8.6592234667877126e+06 8.6178738560124561e+06 8.5855029242586922e+06 8.5601244038964622e+06 8.5398122547820397e+06 8.5231082978907246e+06 8.5086406419671290e+06 8.4950809046589416e+06 8.4855155137256440e+06 8.4758667405654974e+06 8.4660257350800782e+06 8.4557197919010967e+06 8.4450886051395424e+06 8.4338289088331237e+06 8.4223062545694057e+06 8.4095117946584038e+06 8.3958189003763590e+06 8.3809755843861662e+06 8.3647850750014810e+06 8.3470082627701079e+06 8.3273757850252371e+06 8.3055033069324428e+06 8.2814250841094488e+06 8.2542457436695527e+06 8.2237728216251573e+06 8.1895641458545942e+06 8.1511438709182581e+06 8.1080212778579453e+06 8.0597041581693441e+06 8.0056507220831169e+06 7.9459250244066734e+06 7.8794951418882096e+06 7.8065837264449354e+06 7.7273594540904490e+06 7.6424437397068786e+06 7.5528938751430158e+06 7.4607222937763976e+06 7.3689259832990319e+06 7.2824012669429658e+06 7.2073262043065680e+06 7.1533542313703028e+06 7.1339416439769650e+06 7.1686375508510647e+06 7.2858968222269807e+06 7.5288390104831308e+06 7.9657250542763444e+06 8.7115592920576241e+06 1.2168537763478293e+06 +1.3131910636879521e+01 3.6338913306401134e+07 3.6335207794779524e+07 3.6328888796524599e+07 3.6320324168749809e+07 3.6311124971609943e+07 3.6303999247325525e+07 3.6300238771876916e+07 3.6297731086265393e+07 3.6294172713977948e+07 3.6288869764975436e+07 3.6281813681223489e+07 3.6272763208199047e+07 3.6261336652793862e+07 3.6247125251288757e+07 3.6229685834410012e+07 3.6208486642075889e+07 3.6182889064777561e+07 3.6152144659646630e+07 3.6115378573895290e+07 3.6071563542614385e+07 3.6019500799907543e+07 3.5957770563292608e+07 3.5884443982160762e+07 3.5796209855441853e+07 3.5689330300066426e+07 3.5561934361803390e+07 3.5412112865945153e+07 3.5236781645378508e+07 3.5032155417075008e+07 3.4793967502598643e+07 3.4517507953730516e+07 3.4197647601856448e+07 3.3828890120701596e+07 3.3405464878925275e+07 3.2921474951664414e+07 3.2371105584861539e+07 3.1748914253461011e+07 3.1050202824656460e+07 3.0271480113506161e+07 2.9410992147906121e+07 2.8395988385217041e+07 2.7291730758477375e+07 2.6107208817611936e+07 2.4856342648261003e+07 2.3557897389979407e+07 2.2234775057931852e+07 2.0912631048988141e+07 1.9617908227544263e+07 1.8375568673807316e+07 1.7206799943558231e+07 1.6127297564147307e+07 1.5146667970553461e+07 1.4268568695700269e+07 1.3490712912985859e+07 1.2806844554173261e+07 1.2208556267194422e+07 1.1686268806078082e+07 1.1230564848501885e+07 1.0832633051099051e+07 1.0485027536638333e+07 1.0181056112891577e+07 9.9154765999267660e+06 9.6834955825739428e+06 9.4816390856750812e+06 9.3065091319672242e+06 9.1552783439380452e+06 9.0257489483924992e+06 8.9156324488187898e+06 8.8227222110407799e+06 8.7453950572609678e+06 8.6816568076761141e+06 8.6300254391959328e+06 8.5888133756466284e+06 8.5565503185598589e+06 8.5312565640696511e+06 8.5110124582442343e+06 8.4943645980190393e+06 8.4799456172228307e+06 8.4664315653334390e+06 8.4568984235134292e+06 8.4472821873859670e+06 8.4374743700868916e+06 8.4272031841488015e+06 8.4166078518366851e+06 8.4053861354574263e+06 8.3939023250399232e+06 8.3811510152283153e+06 8.3675043009506017e+06 8.3527110446894886e+06 8.3365751383551061e+06 8.3188582788866721e+06 8.2992920120188799e+06 8.2774933047699733e+06 8.2534962690017819e+06 8.2264085908561815e+06 8.1960384385486394e+06 8.1619451311473036e+06 8.1236544280063817e+06 8.0806772650863370e+06 8.0325230938598700e+06 7.9786519571915027e+06 7.9191276667507663e+06 7.8529218173655793e+06 7.7802562937980518e+06 7.7012992032319587e+06 7.6166698648607181e+06 7.5274220048603769e+06 7.4355612697591875e+06 7.3440745450539943e+06 7.2578416163710784e+06 7.1830197428597361e+06 7.1292297896504505e+06 7.1098826765642222e+06 7.1444615739233484e+06 7.2613253912184369e+06 7.5034482641753536e+06 7.9388609312973330e+06 8.6821798486074116e+06 1.2121983835191471e+06 +1.3136878959653780e+01 3.6233270846882157e+07 3.6229576063371241e+07 3.6223275143031150e+07 3.6214734661796339e+07 3.6205560840041988e+07 3.6198453639815785e+07 3.6194701046018578e+07 3.6192196843662329e+07 3.6188644203858919e+07 3.6183351060301319e+07 3.6176308670388564e+07 3.6167276273838684e+07 3.6155873046736479e+07 3.6141691123817295e+07 3.6124288297085017e+07 3.6103133971545763e+07 3.6077590934781119e+07 3.6046912374869086e+07 3.6010225345161676e+07 3.5966504830160685e+07 3.5914554696547955e+07 3.5852958300718665e+07 3.5779791117571868e+07 3.5691749377394676e+07 3.5585103326277331e+07 3.5457986135015853e+07 3.5308493233191930e+07 3.5133547701744959e+07 3.4929373141544260e+07 3.4691713023802556e+07 3.4415868812144890e+07 3.4096724047969483e+07 3.3728796404566184e+07 3.3306330458508089e+07 3.2823445510338161e+07 3.2274343732709475e+07 3.1653599717603523e+07 3.0956531911248200e+07 3.0179664162327800e+07 2.9321254711121645e+07 2.8308742231424849e+07 2.7207244556264885e+07 2.6025741981027398e+07 2.4778132072200276e+07 2.3483142657475863e+07 2.2163623587591168e+07 2.0845165183857311e+07 1.9554136485462442e+07 1.8315423007857814e+07 1.7150140336694967e+07 1.6073923368457889e+07 1.5096333203172132e+07 1.4220999353794137e+07 1.3445626700769149e+07 1.2763965723306820e+07 1.2167625353907662e+07 1.1647049401096543e+07 1.1192845653918762e+07 1.0796227975095684e+07 1.0449772647646349e+07 1.0146808222847139e+07 9.8821090557178035e+06 9.6508972328383029e+06 9.4497100542481914e+06 9.2751607582192477e+06 9.1244313426942900e+06 8.9953313126668241e+06 8.8855798274849597e+06 8.7929776249868535e+06 8.7159069226033334e+06 8.6523802225953359e+06 8.6009203867076505e+06 8.5598454411077630e+06 8.5276899210923109e+06 8.5024806662813388e+06 8.4823043891558070e+06 8.4657124480112437e+06 8.4513419878448527e+06 8.4378734760625269e+06 8.4283724806961659e+06 8.4187886779785585e+06 8.4090139431602806e+06 8.3987774037494771e+06 8.3882178116863584e+06 8.3770339542392315e+06 8.3655888640206801e+06 8.3528805668643238e+06 8.3392798854983468e+06 8.3245365295171775e+06 8.3084550523164291e+06 8.2907979546439443e+06 8.2712976877644444e+06 8.2495725163584854e+06 8.2256564091282021e+06 8.1986601013216209e+06 8.1683923914198475e+06 8.1344140849351333e+06 8.0962525408881605e+06 8.0534203449030099e+06 8.0054286031280402e+06 7.9517391852187114e+06 7.8924156605834560e+06 7.8264331307618786e+06 7.7540127158833705e+06 7.6753219561154740e+06 7.5909780816193679e+06 7.5020312642707983e+06 7.4104803853681274e+06 7.3193022603580644e+06 7.2333601900387509e+06 7.1587906992295831e+06 7.1051821859914279e+06 7.0859003386527002e+06 7.1203625991687384e+06 7.2368322219369682e+06 7.4781383891798956e+06 7.9120823724104920e+06 8.6528939808089752e+06 1.2075602826201040e+06 +1.3141847282428039e+01 3.6127904246174231e+07 3.6124220101858370e+07 3.6117937186866619e+07 3.6109420802013136e+07 3.6100272286592461e+07 3.6093183568982616e+07 3.6089438847066857e+07 3.6086938131078929e+07 3.6083391223577924e+07 3.6078107878230371e+07 3.6071079168646276e+07 3.6062064828197293e+07 3.6050684900743559e+07 3.6036532418053739e+07 3.6019166131980836e+07 3.5998056610835858e+07 3.5972568037099577e+07 3.5941955227400430e+07 3.5905347138365127e+07 3.5861721000365168e+07 3.5809883308871202e+07 3.5748420553959966e+07 3.5675412529237539e+07 3.5587562884201691e+07 3.5481149982181877e+07 3.5354311112737924e+07 3.5205146301244684e+07 3.5030585863966718e+07 3.4826862270160288e+07 3.4589729122608863e+07 3.4314499275736466e+07 3.3996068956652112e+07 3.3628969810333297e+07 3.3207461589392811e+07 3.2725679783690579e+07 3.2177843452250130e+07 3.1558544259558003e+07 3.0863117182836212e+07 3.0088101054032687e+07 2.9231766275062732e+07 2.8221740337892629e+07 2.7122997190457452e+07 2.5944507839930762e+07 2.4700147325831782e+07 2.3408606191580344e+07 2.2092682194017794e+07 2.0777900695809957e+07 1.9490557071600199e+07 1.8255460465965901e+07 1.7093654703391634e+07 1.6020714251821466e+07 1.5046155054760879e+07 1.4173578744768694e+07 1.3400681992874671e+07 1.2721221860854728e+07 1.2126823563035127e+07 1.1607953928678174e+07 1.1155245807934079e+07 1.0759938210460505e+07 1.0414629523407150e+07 1.0112668984828766e+07 9.8488474381689169e+06 9.6184024262129404e+06 9.4178824908820651e+06 9.2439120518359262e+06 9.0936824536961280e+06 8.9650104573247414e+06 8.8556228540320154e+06 8.7633277306481861e+06 8.6865126831203755e+06 8.6231968747707065e+06 8.5719080371814724e+06 8.5309697814616151e+06 8.4989214618768655e+06 8.4737964413260017e+06 8.4536877789009362e+06 8.4371515797879100e+06 8.4228294862023629e+06 8.4094063696504366e+06 8.3999374183590878e+06 8.3903859457407091e+06 8.3806441880070483e+06 8.3704421847463977e+06 8.3599182190566892e+06 8.3487720998886563e+06 8.3373656065880973e+06 8.3247001850471580e+06 8.3111453899323968e+06 8.2964517752468474e+06 8.2804245537703345e+06 8.2628270274980795e+06 8.2433925503325975e+06 8.2217406804604465e+06 8.1979052440051492e+06 8.1710000154480981e+06 8.1408344215698494e+06 8.1069707496149251e+06 8.0689379531741282e+06 8.0262502622693386e+06 7.9784204324547164e+06 7.9249121543396078e+06 7.8657887559603164e+06 7.8000288342312863e+06 7.7278527471548943e+06 7.6494274696699139e+06 7.5653681495980220e+06 7.4767214158080919e+06 7.3854794059267305e+06 7.2946088974199425e+06 7.2089567588865422e+06 7.1346388467104863e+06 7.0812111953948401e+06 7.0619944058393380e+06 7.0963404011027962e+06 7.2124170852103326e+06 7.4529091486791521e+06 7.8853891270577358e+06 8.6237014146541432e+06 1.2029394118542005e+06 +1.3146815605202297e+01 3.6022812983055443e+07 3.6019139275969088e+07 3.6012874306195721e+07 3.6004381996863015e+07 3.5995258719759576e+07 3.5988188443226926e+07 3.5984451583179750e+07 3.5981954356545955e+07 3.5978413181170627e+07 3.5973139626790695e+07 3.5966124583974153e+07 3.5957128279161215e+07 3.5945771622691840e+07 3.5931648541846603e+07 3.5914318746886969e+07 3.5893253967671342e+07 3.5867819779463686e+07 3.5837272624948822e+07 3.5800743361085266e+07 3.5757211460833296e+07 3.5705486044294976e+07 3.5644156730443917e+07 3.5571307624484122e+07 3.5483649783163883e+07 3.5377469674893111e+07 3.5250908702029482e+07 3.5102071477057010e+07 3.4927895538919516e+07 3.4724622209723361e+07 3.4488015205709450e+07 3.4213398751129344e+07 3.3895681734510347e+07 3.3529409744621288e+07 3.3108857678307582e+07 3.2628177178712577e+07 3.2081604150920689e+07 3.1463747287475649e+07 3.0769958048674367e+07 2.9996790199494068e+07 2.9142526252838794e+07 2.8134982121057454e+07 2.7038988082034871e+07 2.5863505821241301e+07 2.4622387843772605e+07 2.3334287436558768e+07 2.2021950333134647e+07 2.0710837054523882e+07 1.9427169471270524e+07 1.8195680550777946e+07 1.7037342564796552e+07 1.5967669754607249e+07 1.4996133084931109e+07 1.4126306447003203e+07 1.3355878385574751e+07 1.2678612579772562e+07 1.2086150522871148e+07 1.1568982030930521e+07 1.1117764965079421e+07 1.0723763422781158e+07 1.0379597839270284e+07 1.0078638082797546e+07 9.8156914388323035e+06 9.5860108608868420e+06 9.3861560995551255e+06 9.2127627218401860e+06 9.0630313903078474e+06 8.9347860994653516e+06 8.8257612487283517e+06 8.7337722509750184e+06 8.6572120639936086e+06 8.5941064912260249e+06 8.5429881191435475e+06 8.5021861264520045e+06 8.4702446716237739e+06 8.4452036206706967e+06 8.4251623595882654e+06 8.4086817259498201e+06 8.3944078453479912e+06 8.3810299795643864e+06 8.3715929702803772e+06 8.3620737247490594e+06 8.3523648390102265e+06 8.3421972618383234e+06 8.3317088089870326e+06 8.3206003078146186e+06 8.3092322884974377e+06 8.2966096059329156e+06 8.2831005508401450e+06 8.2684565189346150e+06 8.2524833802724183e+06 8.2349452355594616e+06 8.2155763384544682e+06 8.1939975364996362e+06 8.1702425138151515e+06 8.1434280742519032e+06 8.1133642709783791e+06 8.0796148682513591e+06 8.0417104091231581e+06 7.9991667628035601e+06 7.9514983289837539e+06 7.8981706133963438e+06 7.8392467035957063e+06 7.7737086805666108e+06 7.7017761426803144e+06 7.6236155014683055e+06 7.5398398290103534e+06 7.4514922225051634e+06 7.3605580973660126e+06 7.2699942250489024e+06 7.1846310944371680e+06 7.1105639591767751e+06 7.0573165934231523e+06 7.0381646543077780e+06 7.0723947548140846e+06 7.1880797524494352e+06 7.4277603064648053e+06 7.8587809453184642e+06 8.5946018768119216e+06 1.1983357096343201e+06 +1.3151783927976556e+01 3.5917996223410748e+07 3.5914332976780966e+07 3.5908085916460074e+07 3.5899617653282598e+07 3.5890519548736326e+07 3.5883467671625249e+07 3.5879738663284756e+07 3.5877244928979926e+07 3.5873709485458247e+07 3.5868445714666359e+07 3.5861444325090401e+07 3.5852466035450786e+07 3.5841132621205650e+07 3.5827038903739728e+07 3.5809745550341390e+07 3.5788725450545132e+07 3.5763345570271015e+07 3.5732863975842297e+07 3.5696413421654597e+07 3.5652975619834185e+07 3.5601362311052062e+07 3.5540166238331147e+07 3.5467475811426982e+07 3.5380009482250124e+07 3.5274061812449209e+07 3.5147778310743526e+07 3.4999268168418273e+07 3.4825476134257950e+07 3.4622652367792688e+07 3.4386570680574998e+07 3.4112566645705476e+07 3.3795561788900271e+07 3.3430115614874486e+07 3.3010518132825013e+07 3.2530937103267230e+07 3.1985625237024501e+07 3.1369208210421901e+07 3.0677053918972705e+07 2.9905731010544561e+07 2.9053534058557577e+07 2.8048466998365998e+07 2.6955216652971383e+07 2.5782735352925226e+07 2.4544853061721370e+07 2.3260185837706253e+07 2.1951427461906865e+07 2.0643973730713800e+07 1.9363973170915458e+07 1.8136082766038064e+07 1.6981203443158336e+07 1.5914789418186527e+07 1.4946266854282994e+07 1.4079182039874896e+07 1.3311215476127200e+07 1.2636137493975243e+07 1.2045605862577775e+07 1.1530133350856399e+07 1.1080402780727364e+07 1.0687703278463827e+07 1.0344677271386949e+07 1.0044715201520693e+07 9.7826407500332110e+06 9.5537222358205914e+06 9.3545305849966854e+06 9.1817124779689983e+06 9.0324778666169494e+06 8.9046579568860214e+06 8.7959947325383220e+06 8.7043109096162990e+06 8.6280047911067158e+06 8.5651087996890806e+06 8.5141603618302699e+06 8.4734942065267749e+06 8.4416592817269173e+06 8.4167019364678748e+06 8.3967278639776800e+06 8.3803026197746359e+06 8.3660767990089953e+06 8.3527440399566712e+06 8.3433388709086664e+06 8.3338517497508768e+06 8.3241756312307883e+06 8.3140423704136228e+06 8.3035893171976199e+06 8.2925183140734090e+06 8.2811886461764779e+06 8.2686085663542934e+06 8.2551451054773293e+06 8.2405504982968047e+06 8.2246312700621793e+06 8.2071523176218597e+06 8.1878487915318199e+06 8.1663428245511511e+06 8.1426679593929742e+06 8.1159440194273265e+06 8.0859816822952498e+06 8.0523461845475985e+06 8.0145696536550354e+06 7.9721695927693360e+06 7.9246620404843576e+06 7.8715143118461194e+06 7.8127892548210779e+06 7.7474724231774667e+06 7.6757826581592737e+06 7.5978858096727226e+06 7.5143928807078553e+06 7.4263434479950657e+06 7.3357162262028018e+06 7.2454580126409549e+06 7.1603829687857609e+06 7.0865658110815780e+06 7.0334981562161595e+06 7.0144108607998574e+06 7.0485254359612791e+06 7.1638199956442043e+06 7.4026916269172775e+06 7.8322575779167917e+06 8.5655950946684293e+06 1.1937491145820795e+06 +1.3156752250750815e+01 3.5813453528034456e+07 3.5809800631594352e+07 3.5803571461038038e+07 3.5795127177542366e+07 3.5786054183465250e+07 3.5779020664000191e+07 3.5775299496989682e+07 3.5772809257940233e+07 3.5769279545996293e+07 3.5764025551444568e+07 3.5757037801428922e+07 3.5748077506436758e+07 3.5736767305621415e+07 3.5722702913061775e+07 3.5705445951621652e+07 3.5684470468663871e+07 3.5659144818722144e+07 3.5628728689235307e+07 3.5592356729201555e+07 3.5549012886415213e+07 3.5497511518156596e+07 3.5436448486504681e+07 3.5363916498873197e+07 3.5276641390303425e+07 3.5170925803474873e+07 3.5044919347484574e+07 3.4896735783829905e+07 3.4723327058385015e+07 3.4520952152682178e+07 3.4285394955464058e+07 3.4012002367675498e+07 3.3695708527999870e+07 3.3331086829310197e+07 3.2912442361319125e+07 3.2433958965995584e+07 3.1889906119761396e+07 3.1274926438356727e+07 3.0584404204826672e+07 2.9814922899881423e+07 2.8964789107188780e+07 2.7962194388187755e+07 2.6871682326216400e+07 2.5702195863983043e+07 2.4467542416367773e+07 2.3186300841407392e+07 2.1881113038458854e+07 2.0577310196237318e+07 1.9300967658066627e+07 1.8076666616555020e+07 1.6925236861793499e+07 1.5862072785002489e+07 1.4896555924470082e+07 1.4032205103757856e+07 1.3266692862738967e+07 1.2593796218305226e+07 1.2005189212261520e+07 1.1491407532353915e+07 1.1043158911128644e+07 1.0651757444728615e+07 1.0309867496731488e+07 1.0010900026543222e+07 9.7496950648582391e+06 9.5215362507077213e+06 9.3230056526925992e+06 9.1507610307116210e+06 9.0020215974366646e+06 8.8746257481175978e+06 8.7663230271506961e+06 8.6749434309141040e+06 8.5988905910288543e+06 8.5362035285820421e+06 8.4854244951655176e+06 8.4448937528068218e+06 8.4131650242730211e+06 8.3882911215484794e+06 8.3683840255116485e+06 8.3520139952269765e+06 8.3378360815929445e+06 8.3245482856533667e+06 8.3151748553683385e+06 8.3057197561807642e+06 8.2960763004048374e+06 8.2859772465152172e+06 8.2755594800714804e+06 8.2645258554121144e+06 8.2532344167204713e+06 8.2406968038043706e+06 8.2272787917661322e+06 8.2127334517293591e+06 8.1968679620257951e+06 8.1794480131291607e+06 8.1602096496204641e+06 8.1387762853672821e+06 8.1151813222238785e+06 8.0885475933161406e+06 8.0586863988146577e+06 8.0251644428676665e+06 7.9875154323320054e+06 7.9452584990716362e+06 7.8979113153750850e+06 7.8449429998004902e+06 7.7864161615996081e+06 7.7213198161052736e+06 7.6498720499094194e+06 7.5722381530878237e+06 7.4890270661150450e+06 7.4012748565150630e+06 7.3109535595532972e+06 7.2210000301695103e+06 7.1362121546131186e+06 7.0626441774427406e+06 7.0097556604863852e+06 6.9907328026336618e+06 7.0247322207851047e+06 7.1396375873661693e+06 7.3777028750364929e+06 7.8058187761963410e+06 8.5366807962829489e+06 1.1891795655271693e+06 +1.3161720573525074e+01 3.5709184076808155e+07 3.5705541686673395e+07 3.5699330361723624e+07 3.5690909975934722e+07 3.5681862034593001e+07 3.5674846830947675e+07 3.5671133494608186e+07 3.5668646753776252e+07 3.5665122773016348e+07 3.5659878547302082e+07 3.5652904423183806e+07 3.5643962102277003e+07 3.5632675086107031e+07 3.5618639979893379e+07 3.5601419360731602e+07 3.5580488432028174e+07 3.5555216934761554e+07 3.5524866175034881e+07 3.5488572693511114e+07 3.5445322670336224e+07 3.5393933075286075e+07 3.5333002884640142e+07 3.5260629096444972e+07 3.5173544916797668e+07 3.5068061057422161e+07 3.4942331221612178e+07 3.4794473732527964e+07 3.4621447720523059e+07 3.4419520973497689e+07 3.4184487439400919e+07 3.3911705326027259e+07 3.3596121360840544e+07 3.3232322796969436e+07 3.2814629773016382e+07 3.2337242176445309e+07 3.1794446209135000e+07 3.1180901382083129e+07 3.0492008318187311e+07 2.9724365281125266e+07 2.8876290814700175e+07 2.7876163709861171e+07 2.6788384525722232e+07 2.5621886784405392e+07 2.4390455345486324e+07 2.3112631895040061e+07 2.1811006521854199e+07 2.0510845924011573e+07 1.9238152421282806e+07 1.8017431608233050e+07 1.6869442345058072e+07 1.5809519398534264e+07 1.4846999858141933e+07 1.3985375220033010e+07 1.3222310144584509e+07 1.2551588368551007e+07 1.1964900202912686e+07 1.1452804220162125e+07 1.1006033013363151e+07 1.0615925589654855e+07 1.0275168193074524e+07 9.9771922442105617e+06 9.7168540771741699e+06 9.4894526060116328e+06 9.2915810088428296e+06 9.1199080912855621e+06 8.9716622983043082e+06 8.8446891923940629e+06 8.7367458549479954e+06 8.6456695399210453e+06 8.5698691910315882e+06 8.5073904070086647e+06 8.4567802497441117e+06 8.4163844971037749e+06 8.3847616320180995e+06 8.3599709094382329e+06 8.3401305783276027e+06 8.3238155869416222e+06 8.3096854281786308e+06 8.2964424521624008e+06 8.2871006594672808e+06 8.2776774801306361e+06 8.2680665829369510e+06 8.2580016268903418e+06 8.2476190346698519e+06 8.2366226692352332e+06 8.2253693379045203e+06 8.2128740564536303e+06 8.1995013483090429e+06 8.1850051182846483e+06 8.1691931957277814e+06 8.1518320621941639e+06 8.1326586534506055e+06 8.1112976603532331e+06 8.0877823444793243e+06 8.0612385389169017e+06 8.0314781644786922e+06 7.9980693882346228e+06 7.9605474913646122e+06 7.9184332292691879e+06 7.8712459027132588e+06 7.8184564279941218e+06 7.7601271765405061e+06 7.6952506140242964e+06 7.6240440748717589e+06 7.5466722911127647e+06 7.4637421472906722e+06 7.3762862129052607e+06 7.2862698651203401e+06 7.1966200482040523e+06 7.1121184251812398e+06 7.0387988338657431e+06 6.9860888835048908e+06 6.9671302576879794e+06 7.0010148860775847e+06 7.1155323007673733e+06 7.3527938163963258e+06 7.7794642921393551e+06 8.5078587104262821e+06 1.1846270015067065e+06 +1.3166688896299332e+01 3.5605187581656396e+07 3.5601555620396256e+07 3.5595362021310061e+07 3.5586965456620552e+07 3.5577942513465837e+07 3.5570945583690315e+07 3.5567240067261495e+07 3.5564756827493131e+07 3.5561238577553749e+07 3.5556004113190882e+07 3.5549043601273336e+07 3.5540119233821131e+07 3.5528855373417228e+07 3.5514849515017174e+07 3.5497665188396484e+07 3.5476778751320347e+07 3.5451561329016611e+07 3.5421275843804069e+07 3.5385060725165173e+07 3.5341904382115528e+07 3.5290626392909937e+07 3.5229828843135357e+07 3.5157613014492080e+07 3.5070719472047813e+07 3.4965466984534152e+07 3.4840013343266927e+07 3.4692481424602240e+07 3.4519837530585654e+07 3.4318358240128785e+07 3.4083847542194173e+07 3.3811674930546463e+07 3.3496799697190754e+07 3.3133822927704617e+07 3.2717079777948409e+07 3.2240786144958548e+07 3.1699244916008808e+07 3.1087132453264203e+07 3.0399865671925902e+07 2.9634057568868473e+07 2.8788038597943235e+07 2.7790374383722588e+07 2.6705322676406689e+07 2.5541807545186337e+07 2.4313591287828643e+07 2.3039178447122440e+07 2.1741107372332517e+07 2.0444580387979463e+07 1.9175526950286649e+07 1.7958377248039626e+07 1.6813819418397624e+07 1.5757128803325057e+07 1.4797598219010847e+07 1.3938691971071608e+07 1.3178066921828253e+07 1.2509513561430829e+07 1.1924738466438955e+07 1.1414323059938986e+07 1.0969024745390290e+07 1.0580207382128378e+07 1.0240579038989395e+07 9.9435915416516513e+06 9.6841174816225171e+06 9.4574710029663071e+06 9.2602563604209777e+06 9.0891533716336042e+06 8.9413996854769327e+06 8.8148480096666664e+06 8.7072629390210193e+06 8.6164889623870794e+06 8.5409403190788124e+06 8.4786691647703983e+06 8.4282273568641320e+06 8.3879661719113654e+06 8.3564488384052673e+06 8.3317410343215149e+06 8.3119672572269468e+06 8.2957071302331882e+06 8.2816245745307431e+06 8.2684262756531546e+06 8.2591160196671188e+06 8.2497246583818309e+06 8.2401462159088738e+06 8.2301152489259988e+06 8.2197677187190885e+06 8.2088084936241368e+06 8.1975931481634863e+06 8.1851400631360617e+06 8.1718125143561624e+06 8.1573652376778955e+06 8.1416067113826321e+06 8.1243042055976838e+06 8.1051955444056066e+06 8.0839066915674992e+06 8.0604707689615460e+06 8.0340165998902060e+06 8.0043567238977216e+06 7.9710607663020929e+06 7.9336655776030058e+06 7.8916935315535590e+06 7.8446655521985721e+06 7.7920543478104621e+06 7.7339220528657995e+06 7.6692645722242780e+06 7.5982984906023098e+06 7.5211879837700343e+06 7.4385378868874637e+06 7.3513772826035060e+06 7.2616649112097658e+06 7.1723178378957007e+06 7.0881015543222576e+06 7.0150295565079004e+06 6.9624976031171102e+06 6.9436030044141402e+06 6.9773732092136145e+06 7.0915039095763555e+06 7.3279642171931518e+06 7.7531938783725118e+06 8.4791285665418282e+06 1.1800913617645844e+06 +1.3171657219073591e+01 3.5501463274364583e+07 3.5497841710035749e+07 3.5491665839918695e+07 3.5483293031567782e+07 3.5474295032208860e+07 3.5467316334222905e+07 3.5463618626723178e+07 3.5461138890918665e+07 3.5457626371380381e+07 3.5452401660854317e+07 3.5445454747352503e+07 3.5436548312765688e+07 3.5425307579177104e+07 3.5411330929977544e+07 3.5394182846166052e+07 3.5373340838002101e+07 3.5348177412929237e+07 3.5317957106939405e+07 3.5281820235488065e+07 3.5238757433023579e+07 3.5187590882250600e+07 3.5126925773185857e+07 3.5054867664086498e+07 3.4968164467075184e+07 3.4863142995785907e+07 3.4737965123346023e+07 3.4590758270848304e+07 3.4418495899355046e+07 3.4217463363240741e+07 3.3983474674476363e+07 3.3711910591787800e+07 3.3397742947616640e+07 3.3035586632235773e+07 3.2619791786988873e+07 3.2144590282767635e+07 3.1604301652152989e+07 3.0993619064516742e+07 3.0307975679781359e+07 2.9543999178526089e+07 2.8700031874757484e+07 2.7704825831016578e+07 2.6622496204189494e+07 2.5461957578360483e+07 2.4236949683233663e+07 2.2965939947152447e+07 2.1671415051150598e+07 2.0378513063249897e+07 1.9113090735812441e+07 1.7899503044059418e+07 1.6758367608328138e+07 1.5704900544955034e+07 1.4748350571786175e+07 1.3892154940237790e+07 1.3133962795568418e+07 1.2467571414597610e+07 1.1884703635660224e+07 1.1375963698211377e+07 1.0932133766007084e+07 1.0544602491873164e+07 1.0206099713877700e+07 9.9100976067740414e+06 9.6514849736130629e+06 9.4255911435395945e+06 9.2290314151340257e+06 9.0584965844330043e+06 8.9112334759301376e+06 8.7851019205978736e+06 8.6778740031743292e+06 8.5874014247546382e+06 8.5121037038290147e+06 8.4500395323547628e+06 8.3997655485073347e+06 8.3596385104056522e+06 8.3282263775508925e+06 8.3036012310792366e+06 8.2838937976931427e+06 8.2676883610911500e+06 8.2536532570762597e+06 8.2404994929862823e+06 8.2312206731287846e+06 8.2218610283746887e+06 8.2123149370726896e+06 8.2023178506923728e+06 8.1920052706221100e+06 8.1810830673291897e+06 8.1699055865979576e+06 8.1574945633452693e+06 8.1442120298363240e+06 8.1298135503019588e+06 8.1141082498838687e+06 8.0968641847641757e+06 8.0778200645344369e+06 8.0566031217446402e+06 8.0332463391390210e+06 8.0068815205423469e+06 7.9773218223230550e+06 7.9441383233993864e+06 7.9068694385575689e+06 7.8650391547697326e+06 7.8181700141639877e+06 7.7657365112591218e+06 7.7078005444451440e+06 7.6433614466263680e+06 7.5726350552793425e+06 7.4957849916800587e+06 7.4134140481708487e+06 7.3265478316372652e+06 7.2371384667124078e+06 7.1480931709839562e+06 7.0641613164613573e+06 6.9913361221153075e+06 6.9389815977459978e+06 6.9201508218245953e+06 6.9538069681274965e+06 7.0675521881007254e+06 7.3032138441946218e+06 7.7270072881327430e+06 8.4504900947795287e+06 1.1755725857508234e+06 +1.3176625541847850e+01 3.5398010402597554e+07 3.5394399416931935e+07 3.5388241227384642e+07 3.5379892116253249e+07 3.5370919003430776e+07 3.5363958495156631e+07 3.5360268585591361e+07 3.5357792356557287e+07 3.5354285566950940e+07 3.5349070602735154e+07 3.5342137273843288e+07 3.5333248751401611e+07 3.5322031115690932e+07 3.5308083637055635e+07 3.5290971746234640e+07 3.5270174104289562e+07 3.5245064598634511e+07 3.5214909376590416e+07 3.5178850636584222e+07 3.5135881235108472e+07 3.5084825955277637e+07 3.5024293086659357e+07 3.4952392457131691e+07 3.4865879313675955e+07 3.4761088502869897e+07 3.4636185973493829e+07 3.4489303682857573e+07 3.4317422238299035e+07 3.4116835754265279e+07 3.3883368247622199e+07 3.3612411721168973e+07 3.3298950523541804e+07 3.2937613322056659e+07 3.2522765211843345e+07 3.2048654001857694e+07 3.1509615830164135e+07 3.0900360629193220e+07 3.0216337756456893e+07 2.9454189526528336e+07 2.8612270063922264e+07 2.7619517474002823e+07 2.6539904535984185e+07 2.5382336316937853e+07 2.4160529972555842e+07 2.2892915845727351e+07 2.1601929020686459e+07 2.0312643425950341e+07 1.9050843269706748e+07 1.7840808505401410e+07 1.6703086442413721e+07 1.5652834170048837e+07 1.4699256482207665e+07 1.3845763711899951e+07 1.3089997367902612e+07 1.2425761546659300e+07 1.1844795344289485e+07 1.1337725782363225e+07 1.0895359734855916e+07 1.0509110589443136e+07 1.0171729897931620e+07 9.8767101283005364e+06 9.6189562493221518e+06 9.3938127304736860e+06 9.1979058814057838e+06 9.0279374430901967e+06 8.8811633873634282e+06 8.7554506465547513e+06 8.6485787719023880e+06 8.5584066541726422e+06 8.4833590746287275e+06 8.4215012409330066e+06 8.3713945573250959e+06 8.3314012464390229e+06 8.3000939842666406e+06 8.2755512352545857e+06 8.2559099358884171e+06 8.2397590161843933e+06 8.2257712129227547e+06 8.2126618416802641e+06 8.2034143576608961e+06 8.1940863282348365e+06 8.1845724848400494e+06 8.1746091709338818e+06 8.1643314294432886e+06 8.1534461297648149e+06 8.1423063929825416e+06 8.1299372972564222e+06 8.1166996353362417e+06 8.1023497971961405e+06 8.0866975527806766e+06 8.0695117418042300e+06 8.0505319565350227e+06 8.0293866942479834e+06 8.0061087991383849e+06 7.9798330458355648e+06 7.9503732056545569e+06 7.9173018064737599e+06 7.8801588223860273e+06 7.8384698484029220e+06 7.7917590395852150e+06 7.7395026709819781e+06 7.6817624057591269e+06 7.6175409937637225e+06 7.5470535276918486e+06 7.4704630760967135e+06 7.3883703949997006e+06 7.3017976266518710e+06 7.2126903011000231e+06 7.1239458197733657e+06 7.0402974865769604e+06 6.9677183079988472e+06 6.9155406463522203e+06 6.8967734894988406e+06 6.9303159413329242e+06 7.0436769112194525e+06 7.2785424647851372e+06 7.7009042753031217e+06 8.4219430259711351e+06 1.1710706131209251e+06 +1.3181593864622108e+01 3.5294828741059236e+07 3.5291228184108526e+07 3.5285087598406672e+07 3.5276762127380118e+07 3.5267813840433441e+07 3.5260871479885519e+07 3.5257189357087374e+07 3.5254716637708411e+07 3.5251215577569224e+07 3.5246010352037184e+07 3.5239090593934745e+07 3.5230219962897785e+07 3.5219025396089755e+07 3.5205107049301773e+07 3.5188031301638819e+07 3.5167277963108748e+07 3.5142222299061514e+07 3.5112132065556549e+07 3.5076151341192275e+07 3.5033275201112561e+07 3.4982331024745949e+07 3.4921930196254440e+07 3.4850186806197181e+07 3.4763863424413353e+07 3.4659302918327086e+07 3.4534675306151576e+07 3.4388117072985366e+07 3.4216615959734008e+07 3.4016474825437322e+07 3.3783527673830599e+07 3.3513177730837211e+07 3.3200421837196872e+07 3.2839902409459714e+07 3.2425999465017356e+07 3.1952976715200163e+07 3.1415186863483407e+07 3.0807356561669439e+07 3.0124951317465171e+07 2.9364628030117780e+07 2.8524752585063934e+07 2.7534448735851210e+07 2.6457547099674128e+07 2.5302943194974475e+07 2.4084331597692072e+07 2.2820105594488401e+07 2.1532648744351108e+07 2.0246970953312106e+07 1.8988784044921756e+07 1.7782293142305106e+07 1.6647975449287077e+07 1.5600929226279400e+07 1.4650315517018521e+07 1.3799517871413831e+07 1.3046170241858412e+07 1.2384083577116063e+07 1.1805013226947915e+07 1.1299608960670622e+07 1.0858702312435733e+07 1.0473731346205454e+07 1.0137469272149073e+07 9.8434287956943475e+06 9.5865310056831744e+06 9.3621354672306012e+06 9.1668794684362374e+06 8.9974756617507488e+06 8.8511891381875891e+06 8.7258939096255284e+06 8.6193769704037439e+06 8.5295043784761019e+06 8.4547061615196243e+06 8.3930540223627053e+06 8.3431141166632771e+06 8.3032541145478711e+06 8.2720513940182189e+06 8.2475907830791827e+06 8.2280154086323259e+06 8.2119188328366037e+06 8.1979781798439417e+06 8.1849130599253997e+06 8.1756968117521238e+06 8.1664002967303460e+06 8.1569185983006889e+06 8.1469889490497820e+06 8.1367459349114466e+06 8.1258974210051429e+06 8.1147953077483801e+06 8.1024680056909900e+06 8.0892750721109100e+06 8.0749737200775659e+06 8.0593743622747492e+06 8.0422466194660822e+06 8.0233309637619536e+06 8.0022571531270752e+06 7.9790578937341496e+06 7.9528709213865278e+06 7.9235106204504091e+06 7.8905509631341007e+06 7.8535334778611222e+06 7.8119853625614941e+06 7.7654323800775716e+06 7.7133525802528681e+06 7.6558073919288637e+06 7.5918029708148958e+06 7.5215536672587395e+06 7.4452219988656985e+06 7.3634066918492513e+06 7.2771264348656554e+06 7.1883201844525952e+06 7.0998755571707329e+06 7.0165098402364394e+06 6.9441758920400040e+06 6.8921745284874896e+06 6.8734707875740156e+06 6.9068999078934258e+06 7.0198778543919474e+06 7.2539498469335670e+06 7.6748845943886088e+06 8.3934870916365553e+06 1.1665853837352302e+06 +1.3186562187396367e+01 3.5191917635656491e+07 3.5188327371718086e+07 3.5182204367711827e+07 3.5173902480207480e+07 3.5164978957103908e+07 3.5158054702456012e+07 3.5154380355300434e+07 3.5151911148389310e+07 3.5148415817187317e+07 3.5143220322684154e+07 3.5136314121447742e+07 3.5127461361110024e+07 3.5116289834133543e+07 3.5102400580462418e+07 3.5085360926104613e+07 3.5064651828180484e+07 3.5039649927856348e+07 3.5009624587493800e+07 3.4973721762988605e+07 3.4930938744581185e+07 3.4880105504096523e+07 3.4819836515382990e+07 3.4748250124670029e+07 3.4662116212620415e+07 3.4557785655382738e+07 3.4433432534508608e+07 3.4287197854348458e+07 3.4116076476713955e+07 3.3916379989762366e+07 3.3683952366067894e+07 3.3414208033781886e+07 3.3102156301591381e+07 3.2742453307610873e+07 3.2329493959870614e+07 3.1857557836447712e+07 3.1321014166431401e+07 3.0714606277113210e+07 3.0033815779269047e+07 2.9275314107558388e+07 2.8437478858887289e+07 2.7449619040733941e+07 2.6375423324188970e+07 2.5223777647525921e+07 2.4008354001545500e+07 2.2747508646109462e+07 2.1463573686607029e+07 2.0181495123658467e+07 1.8926912555438191e+07 1.7723956466017328e+07 1.6593034158659969e+07 1.5549185262380119e+07 1.4601527244012639e+07 1.3753417005116075e+07 1.3002481021455450e+07 1.2342537126443591e+07 1.1765356919155313e+07 1.1261612882279446e+07 1.0822161160084888e+07 1.0438464434361134e+07 1.0103317518322393e+07 9.8102532992347460e+06 9.5542089404284824e+06 9.3305590580535103e+06 9.1359518861323167e+06 8.9671109552600365e+06 8.8213104475272354e+06 8.6964314325902406e+06 8.5902683245824929e+06 8.5006943261970095e+06 8.4261446952225715e+06 8.3646976091991821e+06 8.3149239605512163e+06 8.2751968499471536e+06 8.2440983429689808e+06 8.2197196114444211e+06 8.2002099534372650e+06 8.1841675490628090e+06 8.1702738962904308e+06 8.1572528865818549e+06 8.1480677745532775e+06 8.1388026733198091e+06 8.1293530172147797e+06 8.1194569251075331e+06 8.1092485274332706e+06 8.0984366818021936e+06 8.0873720719955172e+06 8.0750864301413950e+06 8.0619380820662156e+06 8.0476850613064198e+06 8.0321384212379735e+06 8.0150685611655507e+06 7.9962168302415516e+06 7.9752142430653041e+06 7.9520933683502236e+06 7.9259948934602980e+06 7.8967338139135605e+06 7.8638855416380549e+06 7.8269931544340048e+06 7.7855854480129695e+06 7.7391897878744612e+06 7.6872859929754231e+06 7.6299352586950660e+06 7.5661471355446931e+06 7.4961352339973990e+06 7.4200615224497663e+06 7.3385227037849911e+06 7.2525340241070325e+06 7.1640278874220327e+06 7.0758821566536287e+06 6.9927981535830526e+06 6.9207086526793400e+06 6.8688830242582532e+06 6.8502424967546128e+06 6.8835586474529691e+06 6.9961547936507678e+06 7.2294357592080636e+06 7.6489480005205879e+06 8.3651220239740750e+06 1.1621168376582733e+06 +1.3191530510170626e+01 3.5089276478508845e+07 3.5085696375936873e+07 3.5079590948030815e+07 3.5071312587463193e+07 3.5062413767929509e+07 3.5055507577559941e+07 3.5051840994990669e+07 3.5049375303403087e+07 3.5045885700547479e+07 3.5040699929394521e+07 3.5033807271099754e+07 3.5024972360635273e+07 3.5013823844407909e+07 3.4999963645075336e+07 3.4982960034086175e+07 3.4962295113960676e+07 3.4937346899427332e+07 3.4907386356765710e+07 3.4871561316201486e+07 3.4828871279790819e+07 3.4778148807565585e+07 3.4718011458244793e+07 3.4646581826699369e+07 3.4560637092375495e+07 3.4456536128102772e+07 3.4332457072532736e+07 3.4186545440868773e+07 3.4015803203080639e+07 3.3816550661047362e+07 3.3584641738138907e+07 3.3315502043751478e+07 3.3004153330515694e+07 3.2645265430425953e+07 3.2233248110611174e+07 3.1762396780238066e+07 3.1227097154219393e+07 3.0622109191602830e+07 2.9942930559208199e+07 2.9186247177943289e+07 2.8350448306911338e+07 2.7365027813780960e+07 2.6293532639326494e+07 2.5144839110665772e+07 2.3932596628074199e+07 2.2675124454360560e+07 2.1394703313031670e+07 2.0116215416363254e+07 1.8865228296343476e+07 1.7665797988914430e+07 1.6538262101268856e+07 1.5497601828076668e+07 1.4552891231985973e+07 1.3707460700352294e+07 1.2958929311640637e+07 1.2301121816012094e+07 1.1725826057330556e+07 1.1223737197200393e+07 1.0785735939999435e+07 1.0403309526917821e+07 1.0069274319049507e+07 9.7771833299763594e+06 9.5219897520032804e+06 9.2990832079208773e+06 9.1051228451529089e+06 8.9368430392011199e+06 8.7915270352305584e+06 8.6670629389459006e+06 8.5612525610405635e+06 8.4719762265571859e+06 8.3976744071609732e+06 8.3364317346588522e+06 8.2868238236843357e+06 8.2472291885325387e+06 8.2162345679369736e+06 8.1919374579239758e+06 8.1724933084770208e+06 8.1565049035369782e+06 8.1426581013755444e+06 8.1296810611860799e+06 8.1205269858903224e+06 8.1112931981257694e+06 8.1018754819923248e+06 8.0920128398505338e+06 8.0818389480653657e+06 8.0710636535547590e+06 8.0600364274796247e+06 8.0477923127661236e+06 8.0346884077797644e+06 8.0204835639090948e+06 8.0049894731871691e+06 7.9879773109618397e+06 7.9691893006442431e+06 7.9482577094003204e+06 7.9252149690665342e+06 7.8992047089655334e+06 7.8700425338829579e+06 7.8373052908797171e+06 7.8005376021647835e+06 7.7592698561498970e+06 7.7130310158556905e+06 7.6613026636978285e+06 7.6041457624207251e+06 7.5405732463717191e+06 7.4707979885524213e+06 7.3949814099191045e+06 7.3137181964837667e+06 7.2280201627875622e+06 7.1398131812513582e+06 7.0519653922831388e+06 6.9691622033220120e+06 6.8973163689287612e+06 6.8456659143267442e+06 6.8270883983012689e+06 6.8602919401989011e+06 6.9725075055959038e+06 7.2049999707526397e+06 7.6230942494641375e+06 8.3368475558795510e+06 1.1576649151581428e+06 +1.3196498832944885e+01 3.4986904350256570e+07 3.4983334671673514e+07 3.4977246750995755e+07 3.4968991860669136e+07 3.4960117688042976e+07 3.4953229520749152e+07 3.4949570691681176e+07 3.4947108518238641e+07 3.4943624643130310e+07 3.4938448587600455e+07 3.4931569458258040e+07 3.4922752376846135e+07 3.4911626842233866e+07 3.4897795658455551e+07 3.4880828040877521e+07 3.4860207235613197e+07 3.4835312628933221e+07 3.4805416788477637e+07 3.4769669415975064e+07 3.4727072221776783e+07 3.4676460350168355e+07 3.4616454439789884e+07 3.4545181327170037e+07 3.4459425478499494e+07 3.4355553751250498e+07 3.4231748334974073e+07 3.4086159247219019e+07 3.3915795553480484e+07 3.3716986253902271e+07 3.3485595204568706e+07 3.3217059175367437e+07 3.2906412338668864e+07 3.2548338192750834e+07 3.2137261332289524e+07 3.1667492961970776e+07 3.1133435242853563e+07 3.0529864722079534e+07 2.9852295075542122e+07 2.9097426661333606e+07 2.8263660351683553e+07 2.7280674481073271e+07 2.6211874475988593e+07 2.5066127021462247e+07 2.3857058922310129e+07 2.2602952474045452e+07 2.1326037090241022e+07 2.0051131311879370e+07 1.8803730763821252e+07 1.7607817224426664e+07 1.6483658808930080e+07 1.5446178474194864e+07 1.4504407050732294e+07 1.3661648545431701e+07 1.2915514718339667e+07 1.2259837268132851e+07 1.1686420278804023e+07 1.1185981556330364e+07 1.0749426315203296e+07 1.0368266297726749e+07 1.0035339357733326e+07 9.7442185797294490e+06 9.4898731396624446e+06 9.2677076225636881e+06 9.0743920568941999e+06 8.9066716298828777e+06 8.7618386218549944e+06 8.6377881528910846e+06 8.5323294070699494e+06 8.4433498094833214e+06 8.3692950294286804e+06 8.3082561326541975e+06 8.2588134414469600e+06 8.2193508668571729e+06 8.1884598064328162e+06 8.1642440607630974e+06 8.1448652125890572e+06 8.1289306356035359e+06 8.1151305348818889e+06 8.1021973239250081e+06 8.0930741862577219e+06 8.0838716119271209e+06 8.0744857337312093e+06 8.0646564346758863e+06 8.0545169385337336e+06 8.0437780783406701e+06 8.0327881166295195e+06 8.0205853963706009e+06 8.0075257924759816e+06 7.9933689715802576e+06 7.9779272623126982e+06 7.9609726135870470e+06 7.9422481202934636e+06 7.9213872981305132e+06 7.8984224426214565e+06 7.8725001154599395e+06 7.8434365288577843e+06 7.8108099603933506e+06 7.7741665717737852e+06 7.7330383390086722e+06 7.6869558175409567e+06 7.6354023475741372e+06 7.5784386601006323e+06 7.5150810623095324e+06 7.4455416921693012e+06 7.3699814249444064e+06 7.2889929362145290e+06 7.2035846199244782e+06 7.1156758377670189e+06 7.0281250386946723e+06 6.9456017667399431e+06 6.8739988203704404e+06 6.8225229799228329e+06 6.8040082740377346e+06 6.8370995669038510e+06 6.9489357674049977e+06 7.1806422513217460e+06 7.5973230975955287e+06 8.3086634209294813e+06 1.1532295567058430e+06 +1.3201467155719143e+01 3.4884801077896059e+07 3.4881241651312865e+07 3.4875171195414089e+07 3.4866939712143824e+07 3.4858090133350022e+07 3.4851219948202223e+07 3.4847568861653775e+07 3.4845110209148780e+07 3.4841632061210178e+07 3.4836465713481158e+07 3.4829600099089332e+07 3.4820800825836346e+07 3.4809698243684918e+07 3.4795896036624439e+07 3.4778964362450942e+07 3.4758387609131418e+07 3.4733546532322071e+07 3.4703715298545614e+07 3.4668045478118420e+07 3.4625540986335188e+07 3.4575039547651909e+07 3.4515164875722237e+07 3.4444048041765451e+07 3.4358480786653697e+07 3.4254837940417685e+07 3.4131305737351812e+07 3.3986038688852422e+07 3.3816052943301536e+07 3.3617686183662847e+07 3.3386812180717956e+07 3.3118878843983382e+07 3.2808932741467297e+07 3.2451671010109074e+07 3.2041533040722806e+07 3.1572845797936454e+07 3.1040027849269096e+07 3.0437872286390439e+07 2.9761908747416314e+07 2.9008851978716452e+07 2.8177114416647721e+07 2.7196558469657328e+07 2.6130448266022328e+07 2.4987640818012435e+07 2.3781740330242064e+07 2.2530992160997212e+07 2.1257574485916309e+07 1.9986242291743089e+07 1.8742419455089066e+07 1.7550013687051501e+07 1.6429223814551404e+07 1.5394914752553247e+07 1.4456074271078315e+07 1.3615980129672732e+07 1.2872236848429194e+07 1.2218683106045896e+07 1.1647139221773596e+07 1.1148345611410907e+07 1.0713231949588211e+07 1.0333334421444042e+07 1.0001512318568232e+07 9.7113587411218379e+06 9.4578588033944760e+06 9.2364320084524713e+06 9.0437592334653046e+06 8.8765964443380199e+06 8.7322449286665227e+06 8.6086067993287854e+06 8.5034985906674359e+06 8.4148148055709191e+06 8.3410062948139040e+06 8.2801705377772711e+06 8.2308925498997997e+06 8.1915616221741326e+06 8.1607737966298098e+06 8.1366391588731455e+06 8.1173254052931424e+06 8.1014444852798572e+06 8.0876909372617444e+06 8.0748014156671315e+06 8.0657091167934760e+06 8.0565376561701111e+06 8.0471835141668515e+06 8.0373874516408220e+06 8.0272822412192523e+06 8.0165796988865025e+06 8.0056268825149704e+06 7.9934654244298190e+06 7.9804499800511878e+06 7.9663410286579533e+06 7.9509515334373200e+06 7.9340542144268909e+06 7.9153930351616722e+06 7.8946027558987308e+06 7.8717155363796176e+06 7.8458808611597959e+06 7.8169155479705213e+06 7.7843993003728632e+06 7.7478798146158336e+06 7.7068906492501376e+06 7.6609639470630828e+06 7.6095848003982082e+06 7.5528137093441784e+06 7.4896703430005303e+06 7.4203661067136470e+06 7.3450613318007095e+06 7.2643466898462353e+06 7.1792271651223572e+06 7.0916156293927450e+06 7.0043608710961081e+06 6.9221166216893150e+06 6.8507557871454768e+06 6.7994540028406223e+06 6.7810019063452482e+06 6.8139813088850733e+06 6.9254393568293536e+06 7.1563623712431639e+06 7.5716343019307768e+06 8.2805693533786843e+06 1.1488107029746554e+06 +1.3206435478493402e+01 3.4782965957333907e+07 3.4779416741134875e+07 3.4773363704441421e+07 3.4765155556750320e+07 3.4756330520481721e+07 3.4749478276853457e+07 3.4745834921948537e+07 3.4743379793195985e+07 3.4739907371716015e+07 3.4734750723991401e+07 3.4727898610470109e+07 3.4719117124490283e+07 3.4708037465588041e+07 3.4694264196330234e+07 3.4677368415537462e+07 3.4656835651216626e+07 3.4632048026229359e+07 3.4602281303575628e+07 3.4566688919245228e+07 3.4524276990029767e+07 3.4473885816531084e+07 3.4414142182495721e+07 3.4343181386852071e+07 3.4257802433167756e+07 3.4154388111942030e+07 3.4031128695932731e+07 3.3886183182035416e+07 3.3716574788764462e+07 3.3518649866511393e+07 3.3288292082790103e+07 3.3020960465800166e+07 3.2711713955207251e+07 3.2355263299002193e+07 3.1946062652637914e+07 3.1478454705267582e+07 3.0946874391224816e+07 3.0346131303247128e+07 2.9671770994847398e+07 2.8920522551963300e+07 2.8090809926189229e+07 2.7112679207564440e+07 2.6049253442265123e+07 2.4909379939436141e+07 2.3706640298955269e+07 2.2459242972147159e+07 2.1189314968817167e+07 1.9921547838562336e+07 1.8681293868474118e+07 1.7492386892363410e+07 1.6374956652031396e+07 1.5343810216039227e+07 1.4407892464857820e+07 1.3570455043363141e+07 1.2829095309742352e+07 1.2177658953916473e+07 1.1607982525363419e+07 1.1110829015074365e+07 1.0677152507852960e+07 1.0298513573533639e+07 9.9677928865319937e+06 9.6786035075206682e+06 9.4259464439555965e+06 9.2052560728076939e+06 9.0132240877344515e+06 8.8466172003162038e+06 8.7027456776462458e+06 8.5795186038578171e+06 8.4747598405232839e+06 8.3863709461259451e+06 8.3128079367897725e+06 8.2521746852933653e+06 8.2030608857820863e+06 8.1638611923911991e+06 8.1331762773657767e+06 8.1091224918348547e+06 8.0898736267699087e+06 8.0740461932388479e+06 8.0603390496273441e+06 8.0474930779382559e+06 8.0384315193289714e+06 8.0292910729642855e+06 8.0199685657079564e+06 8.0102056334727993e+06 8.0001345991696622e+06 7.9894682585754106e+06 7.9785524688851070e+06 7.9664321410626406e+06 7.9534607150440300e+06 7.9393994801334357e+06 7.9240620320588918e+06 7.9072218594959835e+06 7.8886237918799808e+06 7.8679038299972415e+06 7.8450939983785190e+06 7.8193466949152602e+06 7.7904793410082357e+06 7.7580730616200939e+06 7.7216770826749653e+06 7.6808265401856974e+06 7.6350551591999456e+06 7.5838497785835378e+06 7.5272706683834800e+06 7.4643408486942193e+06 7.3952709946627310e+06 7.3202208953823000e+06 7.2397792248494048e+06 7.1549475685626855e+06 7.0676323291147910e+06 6.9806726652845852e+06 6.8987065465859920e+06 6.8275870499565154e+06 6.7764587654228052e+06 6.7580690781672839e+06 6.7909369480277272e+06 6.9020180521761077e+06 7.1321601014495017e+06 7.5460276200972879e+06 8.2525650881582480e+06 1.1444082948395032e+06 +1.3211403801267661e+01 3.4681398251390748e+07 3.4677859368428200e+07 3.4671823692212969e+07 3.4663638812648453e+07 3.4654838266944177e+07 3.4648003924441278e+07 3.4644368290335312e+07 3.4641916688118130e+07 3.4638449992480099e+07 3.4633303036858954e+07 3.4626464410080910e+07 3.4617700690417379e+07 3.4606643925506823e+07 3.4592899555149890e+07 3.4576039617660992e+07 3.4555550779327832e+07 3.4530816528100766e+07 3.4501114220952265e+07 3.4465599156709537e+07 3.4423279650177434e+07 3.4372998574056111e+07 3.4313385777356274e+07 3.4242580779700160e+07 3.4157389835280083e+07 3.4054203682896078e+07 3.3931216627768792e+07 3.3786592143747449e+07 3.3617360506836534e+07 3.3419876719423525e+07 3.3190034327706367e+07 3.2923303457799368e+07 3.2614755396950793e+07 3.2259114476617225e+07 3.1850849585564286e+07 3.1384319101932626e+07 3.0853974287358638e+07 3.0254641192232758e+07 2.9581881238830693e+07 2.8832437803899992e+07 2.8004746305660903e+07 2.7029036123768251e+07 2.5968289438532442e+07 2.4831343825829435e+07 2.3631758276529215e+07 2.2387704365431290e+07 2.1121258008784413e+07 1.9857047436032616e+07 1.8620353503366578e+07 1.7434936356994808e+07 1.6320856856378622e+07 1.5292864418551356e+07 1.4359861204934560e+07 1.3525072877795765e+07 1.2786089711072162e+07 1.2136764436826352e+07 1.1568949829567794e+07 1.1073431420798175e+07 1.0641187655565351e+07 1.0263803430291677e+07 9.9341807474327832e+06 9.6459525731000826e+06 9.3941357628680561e+06 9.1741795236053187e+06 8.9827863332747556e+06 8.8167336162781101e+06 8.6733405914843082e+06 8.5505232927951030e+06 8.4461128860205058e+06 8.3580179631235152e+06 8.2846996895020204e+06 8.2242683111570729e+06 8.1753181864939285e+06 8.1362493160912981e+06 8.1056669881652212e+06 8.0816937998982398e+06 8.0625096178696947e+06 8.0467355008367812e+06 8.0330746137593267e+06 8.0202720529140662e+06 8.0112411363336593e+06 8.0021316050803838e+06 7.9928406314291041e+06 7.9831107235555137e+06 7.9730737560959207e+06 7.9624435014626356e+06 7.9515646201234143e+06 7.9394852910673972e+06 7.9265577426587874e+06 7.9125440716611985e+06 7.8972585043189395e+06 7.8804752954894835e+06 7.8619401377226235e+06 7.8412902683704402e+06 7.8185575772835435e+06 7.7928973662176048e+06 7.7641276583835892e+06 7.7318309956075018e+06 7.6955581285825949e+06 7.6548457657445772e+06 7.6092292093452774e+06 7.5581970391762117e+06 7.5018092960703084e+06 7.4390923402645122e+06 7.3702561190902917e+06 7.2954598811672665e+06 7.2152903092794092e+06 7.1307456010299772e+06 7.0437257105132462e+06 6.9570601976228617e+06 6.8753713204243304e+06 6.8044923900826797e+06 6.7535370505786464e+06 6.7352095729963984e+06 6.7679662667760663e+06 6.8786716323343925e+06 7.1080352134463331e+06 7.5205028103483459e+06 8.2246503608938064e+06 1.1400222733763212e+06 +1.3216372124041920e+01 3.4580097682042621e+07 3.4576568909634717e+07 3.4570550565601535e+07 3.4562388901266009e+07 3.4553612791132949e+07 3.4546796309459209e+07 3.4543168385410316e+07 3.4540720312478505e+07 3.4537259341917396e+07 3.4532122070475407e+07 3.4525296916327052e+07 3.4516550942007080e+07 3.4505517041797504e+07 3.4491801531385526e+07 3.4474977387079135e+07 3.4454532411690056e+07 3.4429851456129082e+07 3.4400213468851611e+07 3.4364775608626425e+07 3.4322548384851120e+07 3.4272377238305353e+07 3.4212895078322440e+07 3.4142245638225771e+07 3.4057242410835087e+07 3.3954284071224459e+07 3.3831568950740270e+07 3.3687264991806269e+07 3.3518409515285961e+07 3.3321366160107784e+07 3.3092038333211526e+07 3.2825907237752132e+07 3.2518056484599136e+07 3.2163223961090442e+07 3.1755893257880751e+07 3.1290438406777218e+07 3.0761326957200535e+07 3.0163401373829674e+07 2.9492238901173148e+07 2.8744597158231232e+07 2.7918922981330618e+07 2.6945628648224059e+07 2.5887555689665176e+07 2.4753531918332592e+07 2.3557093712103657e+07 2.2316375799874187e+07 2.1053403076685194e+07 1.9792740568904590e+07 1.8559597860218685e+07 1.7377661598666027e+07 1.6266923963618599e+07 1.5242076915034464e+07 1.4311980065143850e+07 1.3479833225203387e+07 1.2743219662138416e+07 1.2095999180781055e+07 1.1530040775300207e+07 1.1036152482936962e+07 1.0605337059115928e+07 1.0229203668819290e+07 9.9006755878383610e+06 9.6134056327824965e+06 9.3624264623998515e+06 9.1432020695366878e+06 8.9524456844128016e+06 8.7869454114121236e+06 8.6440293935756683e+06 8.5216205931364018e+06 8.4175574572291728e+06 8.3297555892337942e+06 8.2566812877877625e+06 8.1964511519856052e+06 8.1476641901263073e+06 8.1087257325332994e+06 8.0782456691933824e+06 8.0543528239822621e+06 8.0352331200985834e+06 8.0195121500671580e+06 8.0058973720976207e+06 7.9931380834614048e+06 7.9841377109488724e+06 7.9750589959538337e+06 7.9657994550622143e+06 7.9561024659256143e+06 7.9460994563575611e+06 7.9355051722452603e+06 7.9246630812976910e+06 7.9126246198746813e+06 7.8997408087485824e+06 7.8857745495426925e+06 7.8705406970097208e+06 7.8538142697238633e+06 7.8353418206220064e+06 7.8147618196062194e+06 7.7921060224170685e+06 7.7665326252107965e+06 7.7378602511578752e+06 7.7056728544250829e+06 7.6695227055882327e+06 7.6289480804904494e+06 7.5834858535343483e+06 7.5326263398348037e+06 7.4764293518834589e+06 7.4139245791957984e+06 7.3453212436905010e+06 7.2707780552476440e+06 7.1908797118032845e+06 7.1066210338947987e+06 7.0198955477530919e+06 6.9335232450501975e+06 6.8521107227600198e+06 6.7814715893389052e+06 6.7306886417734725e+06 6.7124231748789884e+06 6.7450690481304592e+06 6.8553998767541405e+06 7.0839874793298841e+06 7.4950596315571181e+06 8.1968249078748571e+06 1.1356525798614156e+06 +1.3221340446816178e+01 3.4479063551793404e+07 3.4475544853943117e+07 3.4469543738550030e+07 3.4461405246407829e+07 3.4452653512289666e+07 3.4445854851134554e+07 3.4442234626427941e+07 3.4439790085538961e+07 3.4436334839340590e+07 3.4431207244098306e+07 3.4424395548385799e+07 3.4415667298366986e+07 3.4404656233567268e+07 3.4390969544076495e+07 3.4374181142822437e+07 3.4353779967307955e+07 3.4329152229273796e+07 3.4299578466196224e+07 3.4264217693868876e+07 3.4222082612897560e+07 3.4172021228085056e+07 3.4112669504135162e+07 3.4042175381178774e+07 3.3957359578523353e+07 3.3854628695524946e+07 3.3732185083409175e+07 3.3588201144773811e+07 3.3419721232662253e+07 3.3223117607131165e+07 3.2994303517906372e+07 3.2728771224337425e+07 3.2421616636876650e+07 3.2067591171295065e+07 3.1661193088788312e+07 3.1196812039459061e+07 3.0668931821094133e+07 3.0072411269404948e+07 2.9402843404620953e+07 2.8657000039642368e+07 2.7833339380442813e+07 2.6862456211849015e+07 2.5807051631442498e+07 2.4675943659112420e+07 2.3482646055851508e+07 2.2245256735531252e+07 2.0985749644483678e+07 1.9728626723000992e+07 1.8499026440606449e+07 1.7320562136134200e+07 1.6213157510853250e+07 1.5191447261465961e+07 1.4264248620377151e+07 1.3434735678836949e+07 1.2700484773643592e+07 1.2055362812710585e+07 1.1491255004328767e+07 1.0998991856706183e+07 1.0569600385734534e+07 1.0194713967048800e+07 9.8672770951225255e+06 9.5809623822831120e+06 9.3308182455847003e+06 9.1123234200529847e+06 8.9222018561885152e+06 8.7572523056366295e+06 8.6148118080260102e+06 8.4928102325841244e+06 8.3890932849147804e+06 8.3015835578169264e+06 8.2287524671633299e+06 8.1687229450841816e+06 8.1200986354302838e+06 8.0812901816481641e+06 8.0509120613103537e+06 8.0270993056674302e+06 8.0080438756288933e+06 7.9923758836074686e+06 7.9788070677389791e+06 7.9660909130811440e+06 7.9571209869716652e+06 7.9480729896673942e+06 7.9388447809843263e+06 7.9291806052845744e+06 7.9192114449702632e+06 7.9086530162877124e+06 7.8978475981019940e+06 7.8858498735758262e+06 7.8730096598205063e+06 7.8590906607353929e+06 7.8439083575652223e+06 7.8272385301962746e+06 7.8088285891438713e+06 7.7883182329350719e+06 7.7657390837335717e+06 7.7402522226704638e+06 7.7116768710423922e+06 7.6795983908192022e+06 7.6435705675953478e+06 7.6031332396216858e+06 7.5578248484216696e+06 7.5071374388550939e+06 7.4511305959072169e+06 7.3888373275777819e+06 7.3204661327616684e+06 7.2461751843145788e+06 7.1665472016722728e+06 7.0825736391199790e+06 6.9961416155678229e+06 6.9100615850715805e+06 6.8289245337208034e+06 6.7585244301282866e+06 6.7079133230223311e+06 6.6897096684325906e+06 6.7222450756523171e+06 6.8322025654593864e+06 7.0600166717882026e+06 7.4696978432151852e+06 8.1690884660831317e+06 1.1312991557708425e+06 +1.3226308769590437e+01 3.4378295046592005e+07 3.4374786542260818e+07 3.4368802639724687e+07 3.4360687272914946e+07 3.4351959850549333e+07 3.4345178969507717e+07 3.4341566433554620e+07 3.4339125427346759e+07 3.4335675904731147e+07 3.4330557977686532e+07 3.4323759726147622e+07 3.4315049179396145e+07 3.4304060920619145e+07 3.4290403013061717e+07 3.4273650304658026e+07 3.4253292865901873e+07 3.4228718267219499e+07 3.4199208632627882e+07 3.4163924832062148e+07 3.4121881753919899e+07 3.4071929962917097e+07 3.4012708474345759e+07 3.3942369428025328e+07 3.3857740757853687e+07 3.3755236975266702e+07 3.3633064445225045e+07 3.3489400022052906e+07 3.3321295078311693e+07 3.3125130479830287e+07 3.2896829301108837e+07 3.2631894836903874e+07 3.2325435273326177e+07 3.1972215526987597e+07 3.1566748498381291e+07 3.1103439420546051e+07 3.0576788300307538e+07 2.9981670301210616e+07 2.9313694172839165e+07 2.8569645873687226e+07 2.7747994931113344e+07 2.6779518246518388e+07 2.5726776700679462e+07 2.4598578491293516e+07 2.3408414758954927e+07 2.2174346633529194e+07 2.0918297185188521e+07 1.9664705385220896e+07 1.8438638747099724e+07 1.7263637489251759e+07 1.6159557036239397e+07 1.5140975014863923e+07 1.4216666446475793e+07 1.3389779832924418e+07 1.2657884657226905e+07 1.2014854960442221e+07 1.1452592159330770e+07 1.0961949198186623e+07 1.0533977303490181e+07 1.0160334003693938e+07 9.8339849574317969e+06 9.5486225180839095e+06 9.2993108161994852e+06 9.0815432853458039e+06 8.8920545643606763e+06 8.7276540195472483e+06 8.5856875596397147e+06 8.4640919395414982e+06 8.3607201005416559e+06 8.2735016029041568e+06 8.2009129638108909e+06 8.1410834284243863e+06 8.0926212618340598e+06 8.0539424040242182e+06 8.0236659060337758e+06 7.9999329871966708e+06 7.9809416273136847e+06 7.9653264447941044e+06 7.9518034444598565e+06 7.9391302859468982e+06 7.9301907088627862e+06 7.9211733309768969e+06 7.9119763542494569e+06 7.9023448869813010e+06 7.8924094676119741e+06 7.8818867796020592e+06 7.8711179169042259e+06 7.8591607989254640e+06 7.8463640430262797e+06 7.8324921528421603e+06 7.8173612340935227e+06 7.8007478255195552e+06 7.7824001925120754e+06 7.7619592582388418e+06 7.7394565118305311e+06 7.7140559100261647e+06 7.6855772703666240e+06 7.6536073581439136e+06 7.6177014691333584e+06 7.5774009989623968e+06 7.5322459512786167e+06 7.4817300951419761e+06 7.4259127888512481e+06 7.3638303481212091e+06 7.2956905512050949e+06 7.2216510356468819e+06 7.1422925487299273e+06 7.0586031892397581e+06 6.9724636892802790e+06 6.8866749957800452e+06 6.8058125339922821e+06 6.7356506953915600e+06 6.6852108789038565e+06 6.6670688388103470e+06 6.6994941334509198e+06 6.8090794790244726e+06 7.0361225640856819e+06 7.4444172054385142e+06 8.1414407731517265e+06 1.1269619427797762e+06 +1.3231277092364696e+01 3.4277791789693654e+07 3.4274293429227017e+07 3.4268326711498700e+07 3.4260234404737391e+07 3.4251531226864308e+07 3.4244768085416444e+07 3.4241163227582499e+07 3.4238725758724578e+07 3.4235281958866745e+07 3.4230173691961169e+07 3.4223388870317534e+07 3.4214696005769357e+07 3.4203730523600608e+07 3.4190101358891621e+07 3.4173384293125764e+07 3.4153070527993344e+07 3.4128548990463898e+07 3.4099103388607472e+07 3.4063896443648212e+07 3.4021945228301995e+07 3.3972102863196597e+07 3.3913011409230635e+07 3.3842827199072674e+07 3.3758385369059749e+07 3.3656108330631576e+07 3.3534206456352271e+07 3.3390861043757033e+07 3.3223130472346276e+07 3.3027404198339235e+07 3.2799615102992505e+07 3.2535277495751437e+07 3.2229511814282231e+07 3.1877096448716875e+07 3.1472558907503292e+07 3.1010319971399751e+07 3.0484895816926822e+07 2.9891177892371971e+07 2.9224790630399037e+07 2.8482534086883914e+07 2.7662889062506955e+07 2.6696814185082030e+07 2.5646730335156664e+07 2.4521435859044727e+07 2.3334399273646243e+07 2.2103644956018481e+07 2.0851045172873061e+07 1.9600976043542624e+07 1.8378434283427346e+07 1.7206887178915109e+07 1.6106122078959202e+07 1.5090659733254937e+07 1.4169233120348129e+07 1.3344965282644393e+07 1.2615418925457956e+07 1.1974475252771938e+07 1.1414051883877398e+07 1.0925024164306179e+07 1.0498467481280850e+07 1.0126063458297558e+07 9.8007988637331948e+06 9.5163857374116387e+06 9.2679038787911367e+06 9.0508613763438221e+06 8.8620035254387371e+06 8.6981502744877487e+06 8.5566563739356454e+06 8.4354654431057889e+06 8.3324376362414630e+06 8.2455094592179200e+06 8.1731625146122929e+06 8.1135323406575266e+06 8.0652318094337368e+06 8.0266821409125589e+06 7.9965069455342144e+06 7.9728536114841402e+06 7.9539261186393406e+06 7.9383635776145225e+06 7.9248862466695197e+06 7.9122559468837976e+06 7.9033466217324072e+06 7.8943597652786914e+06 7.8851939205508567e+06 7.8755950570316743e+06 7.8656932706109285e+06 7.8552062088549985e+06 7.8444737847141586e+06 7.8325571433156924e+06 7.8198037061831532e+06 7.8059787741171373e+06 7.7908990753330365e+06 7.7743419049784457e+06 7.7560563805839904e+06 7.7356846460322542e+06 7.7132580579619296e+06 7.6879434393301448e+06 7.6595612021081699e+06 7.6276995104079703e+06 7.5919151653546728e+06 7.5517511149667557e+06 7.5067489200209882e+06 7.4564040682170130e+06 7.4007756920338739e+06 7.3389034041440571e+06 7.2709942645302247e+06 7.1972053771410948e+06 7.1181155234200228e+06 7.0347094573820708e+06 6.9488615447854502e+06 6.8633632558241189e+06 6.7827745048249252e+06 6.7128501686428785e+06 6.6625810945453290e+06 6.6445004717231421e+06 6.6768160062010586e+06 6.7860303986000922e+06 7.0123049300719900e+06 7.4192174789483687e+06 8.1138815674152551e+06 1.1226408827618770e+06 +1.3236245415138955e+01 3.4177553364457525e+07 3.4174064932951614e+07 3.4168115387986831e+07 3.4160046063895270e+07 3.4151367062936082e+07 3.4144621620491147e+07 3.4141024430177882e+07 3.4138590501190290e+07 3.4135152423295483e+07 3.4130053808427162e+07 3.4123282402369626e+07 3.4114607198875017e+07 3.4103664463900872e+07 3.4090064002924271e+07 3.4073382529538706e+07 3.4053112374855727e+07 3.4028643820215374e+07 3.3999262155354716e+07 3.3964131949788578e+07 3.3922272457183763e+07 3.3872539350000031e+07 3.3813577729906417e+07 3.3743548115334265e+07 3.3659292833153740e+07 3.3557242182664543e+07 3.3435610537748348e+07 3.3292583630843736e+07 3.3125226835728794e+07 3.2929938183591861e+07 3.2702660344531938e+07 3.2438918621841259e+07 3.2133845680944800e+07 3.1782233357912201e+07 3.1378623737923265e+07 3.0917453114286263e+07 3.0393253793948784e+07 2.9800933466905836e+07 2.9136132202736858e+07 2.8395664106632520e+07 2.7578021204619154e+07 2.6614343461350445e+07 2.5566911973648097e+07 2.4444515207569968e+07 2.3260599053187709e+07 2.2033151166211888e+07 2.0783993082702868e+07 1.9537438187009100e+07 1.8318412554277204e+07 1.7150310727093719e+07 1.6052852179254519e+07 1.5040500975710113e+07 1.4121948219854051e+07 1.3300291624175124e+07 1.2573087191880645e+07 1.1934223319353875e+07 1.1375633822418462e+07 1.0888216412854761e+07 1.0463070588845355e+07 1.0091902011211831e+07 9.7677185037568919e+06 9.4842517383021433e+06 9.2365971386331711e+06 9.0202774046924710e+06 8.8320484566293396e+06 8.6687407925051879e+06 8.5277179771293513e+06 8.4069304730645865e+06 8.3042456248577880e+06 8.2176068621594077e+06 8.1455008571013706e+06 8.0860694211010681e+06 8.0379300189926932e+06 7.9995091342532262e+06 7.9694349226625012e+06 7.9458609220954012e+06 7.9269970937717305e+06 7.9114870267177559e+06 7.8980552194535332e+06 7.8854676413734574e+06 7.8765884713520566e+06 7.8676320386354243e+06 7.8584972262428030e+06 7.8489308620894849e+06 7.8390626009485722e+06 7.8286110513669923e+06 7.8179149491929775e+06 7.8060386547875172e+06 7.7933283977410598e+06 7.7795502734653382e+06 7.7645216306573451e+06 7.7480205184883988e+06 7.7297969038804444e+06 7.7094941474885726e+06 7.6871434740075050e+06 7.6619145632843031e+06 7.6336284198838491e+06 7.6018746022490133e+06 7.5662114120397102e+06 7.5261833447141517e+06 7.4813335131649720e+06 7.4311591182319280e+06 7.3757190673944550e+06 7.3140562595668035e+06 7.2463770388442790e+06 7.1728379772760011e+06 7.0940158967643185e+06 7.0108922172627654e+06 6.9253349585524900e+06 6.8401261444289451e+06 6.7598102280326076e+06 6.6901226339417445e+06 6.6400237556287767e+06 6.6220043534322493e+06 6.6542104791224003e+06 6.7630551059020925e+06 6.9885635441843774e+06 7.3940984250914119e+06 8.0864105878706668e+06 1.1183359177886758e+06 +1.3241213737913213e+01 3.4077578788513340e+07 3.4074100472600721e+07 3.4068168078593120e+07 3.4060121670717523e+07 3.4051466781117938e+07 3.4044738997100234e+07 3.4041149463684954e+07 3.4038719077134371e+07 3.4035286720286354e+07 3.4030197749298394e+07 3.4023439744480103e+07 3.4014782180906855e+07 3.4003862163626045e+07 3.3990290367259063e+07 3.3973644435961582e+07 3.3953417828507870e+07 3.3929002178518459e+07 3.3899684354827441e+07 3.3864630772430301e+07 3.3822862862479270e+07 3.3773238845231578e+07 3.3714406858217128e+07 3.3644531598666973e+07 3.3560462571917467e+07 3.3458637953087460e+07 3.3337276111152101e+07 3.3194567205050774e+07 3.3027583590187699e+07 3.2832731857319403e+07 3.2605964447495084e+07 3.2342817637092639e+07 3.2038436295283969e+07 3.1687625676752333e+07 3.1284942412224226e+07 3.0824838272304833e+07 3.0301861655223142e+07 2.9710936449741386e+07 2.9047718316242196e+07 2.8309035361294847e+07 2.7493390788497236e+07 2.6532105510111172e+07 2.5487321055917438e+07 2.4367815983035594e+07 2.3187013551896181e+07 2.1962864728395369e+07 2.0717140390874319e+07 1.9474091305731047e+07 1.8258573065531407e+07 1.7093907656815376e+07 1.5999746878439508e+07 1.4990498302331258e+07 1.4074811323898578e+07 1.3255758454666302e+07 1.2530889070957521e+07 1.1894098790786432e+07 1.1337337620286034e+07 1.0851525602485677e+07 1.0427786296728821e+07 1.0057849343591284e+07 9.7347435680283047e+06 9.4522202195364684e+06 9.2053903017724678e+06 8.9897910828051828e+06 8.8021890758796558e+06 8.6394252963487729e+06 8.4988720961372461e+06 8.3784867598966081e+06 8.2761437999032903e+06 8.1897935478096390e+06 8.1179277294991100e+06 8.0586944097416280e+06 8.0107156319393963e+06 7.9724231266244100e+06 7.9424495809195880e+06 7.9189546632580375e+06 7.9001542975287121e+06 7.8846965374136036e+06 7.8713101085477173e+06 7.8587651155571546e+06 7.8499160041476786e+06 7.8409898977588639e+06 7.8318860183304083e+06 7.8223520494799251e+06 7.8125172062547551e+06 7.8021010551036708e+06 7.7914411586545128e+06 7.7796050820433199e+06 7.7669378668111162e+06 7.7532064004259966e+06 7.7382286501104450e+06 7.7217834166149227e+06 7.7036215135395220e+06 7.6833875144072073e+06 7.6611125124916974e+06 7.6359690352265062e+06 7.6077786779322429e+06 7.5761323889348879e+06 7.5405899656159487e+06 7.5006974459060719e+06 7.4559994898684621e+06 7.4059950059543485e+06 7.3507426774783321e+06 7.2892886789304242e+06 7.2218386408621417e+06 7.1485486051415717e+06 7.0699934403793328e+06 6.9871512431762395e+06 6.9018837076384947e+06 6.8169634413836803e+06 6.7369194859952917e+06 6.6674678759126198e+06 6.6175386483885068e+06 6.5995802707580905e+06 6.6316773379940633e+06 6.7401533831944941e+06 6.9648981814278942e+06 7.3690598058190597e+06 8.0590275741809178e+06 1.1140469901289442e+06 +1.3246182060687472e+01 3.3977867748262890e+07 3.3974399509071998e+07 3.3968484186863013e+07 3.3960460645335309e+07 3.3951829804418430e+07 3.3945119638426498e+07 3.3941537751269601e+07 3.3939110909614488e+07 3.3935684272916690e+07 3.3930604937624946e+07 3.3923860319658853e+07 3.3915220374775872e+07 3.3904323045708731e+07 3.3890779874760963e+07 3.3874169435242981e+07 3.3853986311774030e+07 3.3829623488118462e+07 3.3800369409760185e+07 3.3765392334282339e+07 3.3723715866849184e+07 3.3674200771546297e+07 3.3615498216779642e+07 3.3545777071638044e+07 3.3461894007944666e+07 3.3360295064457238e+07 3.3239202599096093e+07 3.3096811188881721e+07 3.2930200158166207e+07 3.2735784642039374e+07 3.2509526834448874e+07 3.2246973964142814e+07 3.1943283080138434e+07 3.1593272828329165e+07 3.1191514353830364e+07 3.0732474869419027e+07 3.0210718825491015e+07 2.9621186266643874e+07 2.8959548398154289e+07 2.8222647280152485e+07 2.7408997246042751e+07 2.6450099767107259e+07 2.5407957022718173e+07 2.4291337632671632e+07 2.3113642225072362e+07 2.1892785107851170e+07 2.0650486574643411e+07 1.9410934890880261e+07 1.8198915324022591e+07 1.7037677492179256e+07 1.5946805718846390e+07 1.4940651274248371e+07 1.4027822012357173e+07 1.3211365372232063e+07 1.2488824178113468e+07 1.1854101298574895e+07 1.1299162923694249e+07 1.0814951392703613e+07 1.0392614276342956e+07 1.0023905137388097e+07 9.7018737478409708e+06 9.4202908806601837e+06 9.1742830749987662e+06 8.9594021238042042e+06 8.7724251018517241e+06 8.6102035094887856e+06 8.4701184585704822e+06 8.3501340347878831e+06 8.2481318955718493e+06 8.1620692529315557e+06 8.0904428707023161e+06 8.0314070472433586e+06 7.9835883903731434e+06 7.9454238612876479e+06 7.9155506644721627e+06 7.8921345798651734e+06 7.8733974753830992e+06 7.8579918556645233e+06 7.8446506603354309e+06 7.8321481162293283e+06 7.8233289671922652e+06 7.8144330900127459e+06 7.8053600444776034e+06 7.7958583671625722e+06 7.7860568348127548e+06 7.7756759686879730e+06 7.7650521620639386e+06 7.7532561744246818e+06 7.7406318631382510e+06 7.7269469051995249e+06 7.7120198843649598e+06 7.6956303505564397e+06 7.6775299613607386e+06 7.6573644992279448e+06 7.6351649265751382e+06 7.6101066091257818e+06 7.5820117311307117e+06 7.5504726263635093e+06 7.5150505831213063e+06 7.4752931768765487e+06 7.4307466098958300e+06 7.3809114927589344e+06 7.3258462854439570e+06 7.2646004273743657e+06 7.1973788378911018e+06 7.1243370304032238e+06 7.0460479264793023e+06 6.9634863099947320e+06 6.8785075696545271e+06 6.7938749270473178e+06 6.7141020616535423e+06 6.6448856797264647e+06 6.5951255596074024e+06 6.5772280110621024e+06 6.6092163691475959e+06 6.7173250133190164e+06 6.9413086174010234e+06 7.3441013837065855e+06 8.0317322666880470e+06 1.1097740422480721e+06 +1.3251150383461731e+01 3.3878419622266985e+07 3.3874961419047952e+07 3.3869063126204260e+07 3.3861062409083784e+07 3.3852455556327276e+07 3.3845762968421362e+07 3.3842188716933601e+07 3.3839765422465593e+07 3.3836344504994228e+07 3.3831274797180884e+07 3.3824543551602431e+07 3.3815921204210594e+07 3.3805046533777967e+07 3.3791531949064873e+07 3.3774956950953178e+07 3.3754817248219416e+07 3.3730507172571145e+07 3.3701316743666813e+07 3.3666416058830902e+07 3.3624830893747807e+07 3.3575424552326277e+07 3.3516851228981465e+07 3.3447283957620893e+07 3.3363586564582311e+07 3.3262212940122690e+07 3.3141389424913440e+07 3.2999315005625669e+07 3.2833075963055208e+07 3.2639095961090371e+07 3.2413346928775072e+07 3.2151387026451707e+07 3.1848385459167134e+07 3.1499174236552842e+07 3.1098338987006925e+07 3.0640362330441929e+07 3.0119824730339773e+07 2.9531682344323158e+07 2.8871621876666084e+07 2.8136499293361079e+07 2.7324840010172743e+07 2.6368325669064220e+07 2.5328819315807063e+07 2.4215079604676053e+07 2.3040484529101543e+07 2.1822911770950027e+07 2.0584031112348959e+07 1.9347968434703629e+07 1.8139438837746788e+07 1.6981619758304257e+07 1.5894028243851939e+07 1.4890959453592176e+07 1.3980979866115969e+07 1.3167111975961259e+07 1.2446892129703714e+07 1.1814230475127187e+07 1.1261109379746804e+07 1.0778493443862988e+07 1.0357554199895475e+07 9.9900690753825437e+06 9.6691087353139110e+06 9.3884634219808783e+06 9.1432751658433191e+06 8.9291102415604088e+06 8.7427562539214250e+06 8.5810751560992431e+06 8.4414567927542832e+06 8.3218720295921322e+06 8.2202096467537573e+06 8.1344337149556475e+06 8.0630460202794857e+06 8.0042070749328332e+06 7.9565480370514551e+06 7.9185110821511885e+06 7.8887379181439830e+06 7.8654004174599135e+06 7.8467263734703036e+06 7.8313727280897219e+06 7.8180766218708940e+06 7.8056163908311538e+06 7.7968271082224930e+06 7.7879613634168720e+06 7.7789190529896393e+06 7.7694495637522927e+06 7.7596812355566463e+06 7.7493355413820622e+06 7.7387477090257807e+06 7.7269916819171729e+06 7.7144101371176550e+06 7.7007715386277474e+06 7.6858950847419566e+06 7.6695610721673658e+06 7.6515219997651000e+06 7.6314248550378708e+06 7.6093004700505389e+06 7.5843270395791242e+06 7.5563273350060256e+06 7.5248950710640289e+06 7.4895930222314401e+06 7.4499702965738997e+06 7.4055746336378492e+06 7.3559083406492593e+06 7.3010296550678713e+06 7.2399912706378400e+06 7.1729973978561750e+06 7.1002030233289050e+06 7.0221791278477693e+06 6.9398971931723822e+06 6.8552063228073530e+06 6.7708603823471554e+06 6.6913577385025527e+06 6.6223758311142009e+06 6.5727842766152229e+06 6.5549473622501474e+06 6.5868273594561890e+06 6.6945697796632927e+06 6.9177946282657096e+06 7.3192229219402000e+06 8.0045244064010000e+06 1.1055170168074530e+06 +1.3256118706235990e+01 3.3779233886962757e+07 3.3775785682470724e+07 3.3769904314761482e+07 3.3761926385074526e+07 3.3753343461041823e+07 3.3746668411767825e+07 3.3743101785322800e+07 3.3740682040335223e+07 3.3737266841109574e+07 3.3732206752494618e+07 3.3725488864833899e+07 3.3716884093670256e+07 3.3706032052318297e+07 3.3692546014589615e+07 3.3676006407510534e+07 3.3655910062181987e+07 3.3631652656178728e+07 3.3602525780840829e+07 3.3567701370279245e+07 3.3526207367449678e+07 3.3476909611811668e+07 3.3418465318994116e+07 3.3349051680792663e+07 3.3265539665949713e+07 3.3164391004182685e+07 3.3043836012698028e+07 3.2902078079404026e+07 3.2736210428889506e+07 3.2542665238611650e+07 3.2317424154697757e+07 3.2056056248370834e+07 3.1753742856794499e+07 3.1405329326129921e+07 3.1005415736867156e+07 3.0548500081064932e+07 3.0029178796214700e+07 2.9442424110330716e+07 2.8783938180869095e+07 2.8050590832075864e+07 2.7240918514702890e+07 2.6286782653656688e+07 2.5249907377907306e+07 2.4139041348289564e+07 2.2967539921357568e+07 2.1753244185124122e+07 2.0517773483373113e+07 1.9285191430517260e+07 1.8080143115718480e+07 1.6925733981430005e+07 1.5841413997896647e+07 1.4841422403535824e+07 1.3934284467052490e+07 1.3122997865906678e+07 1.2405092543024372e+07 1.1774485953772420e+07 1.1223176636411522e+07 1.0742151417180810e+07 1.0322605740437340e+07 9.9563408411401492e+06 9.6364482232950740e+06 9.3567375445829835e+06 9.1123662825783826e+06 8.8989151506633461e+06 8.7131822521929163e+06 8.5520399610550813e+06 8.4128868277001139e+06 8.2937004768721815e+06 8.1923767890181635e+06 8.1068866719973227e+06 8.0357369184564417e+06 7.9770942347964803e+06 7.9295943154023029e+06 7.8916845337898759e+06 7.8620110874145674e+06 7.8387519222482461e+06 7.8201407385740578e+06 7.8048389019646486e+06 7.7915877408454269e+06 7.7791696874619313e+06 7.7704101756097628e+06 7.7615744666387923e+06 7.7525627928262772e+06 7.7431253885156754e+06 7.7333901580665112e+06 7.7230795231012013e+06 7.7125275497932071e+06 7.7008113551609572e+06 7.6882724397974424e+06 7.6746800521811415e+06 7.6598540031968914e+06 7.6435753339430569e+06 7.6255973818323100e+06 7.6055683355563646e+06 7.5835188973593358e+06 7.5586300818360336e+06 7.5307252456832258e+06 7.4993994801944178e+06 7.4642170412382716e+06 7.4247285645805839e+06 7.3804833221000573e+06 7.3309853122296650e+06 7.2762925507266689e+06 7.2154609750766177e+06 7.1486940892619109e+06 7.0761463547848724e+06 6.9983868178675333e+06 6.9163836687489590e+06 6.8319797458580714e+06 6.7479195887760641e+06 6.6686863005939592e+06 6.5999381163584059e+06 6.5505145873010345e+06 6.5327381127863787e+06 6.5645100963548543e+06 6.6718874661848284e+06 6.8943559907822097e+06 7.2944241843074067e+06 7.9774037349945661e+06 1.1012758566638618e+06 +1.3261087029010248e+01 3.3680309952506907e+07 3.3676871661085956e+07 3.3671007182978056e+07 3.3663051997519225e+07 3.3654492943311289e+07 3.3647835393949807e+07 3.3644276381940231e+07 3.3641860188603282e+07 3.3638450706643112e+07 3.3633400228894711e+07 3.3626695684634402e+07 3.3618108468413286e+07 3.3607279026505090e+07 3.3593821496500202e+07 3.3577317230005160e+07 3.3557264178774089e+07 3.3533059364015087e+07 3.3503995946308646e+07 3.3469247693752930e+07 3.3427844712901544e+07 3.3378655374956403e+07 3.3320339911781836e+07 3.3251079666058484e+07 3.3167752736981470e+07 3.3066828681567818e+07 3.2946541787338335e+07 3.2805099835089024e+07 3.2639602980615456e+07 3.2446491899526767e+07 3.2221757937194653e+07 3.1960981054984391e+07 3.1659354698358528e+07 3.1311737522653565e+07 3.0912744029412005e+07 3.0456887547802377e+07 2.9938780450481944e+07 2.9353410993137129e+07 2.8696496740749516e+07 2.7964921328340009e+07 2.7157232194402993e+07 2.6205470159536257e+07 2.5171220652751055e+07 2.4063222313750394e+07 2.2894807860258214e+07 2.1683781818801664e+07 2.0451713168170281e+07 1.9222603372676458e+07 1.8021027668015774e+07 1.6870019688805431e+07 1.5788962526441852e+07 1.4792039688283112e+07 1.3887735398069590e+07 1.3079022643107848e+07 1.2363425036321312e+07 1.1734867368741743e+07 1.1185364342559313e+07 1.0705924974703729e+07 1.0287768571843717e+07 9.9227201190188136e+06 9.6038919054515548e+06 9.3251129503067974e+06 9.0815561342478469e+06 8.8688165664376188e+06 8.6837028174871374e+06 8.5230976499505527e+06 8.3844082931135613e+06 8.2656191098672375e+06 8.1646330586124081e+06 8.0794278628458586e+06 8.0085153061471982e+06 7.9500682694970677e+06 7.9027269695079830e+06 7.8649439614387183e+06 7.8353699184280643e+06 7.8121888410879644e+06 7.7936403181399191e+06 7.7783901252133586e+06 7.7651837656101929e+06 7.7528077548788562e+06 7.7440779183940487e+06 7.7352721489839181e+06 7.7262910135931680e+06 7.7168855913611120e+06 7.7071833525620438e+06 7.6969076644087238e+06 7.6863914352716254e+06 7.6747149454291230e+06 7.6622185228531901e+06 7.6486721979896473e+06 7.6338963923349399e+06 7.6176728889960665e+06 7.5997558612666531e+06 7.5797946951293657e+06 7.5578199635533225e+06 7.5330154917629790e+06 7.5052052199357599e+06 7.4739856115334071e+06 7.4389223990578204e+06 7.3995677410831247e+06 7.3554724369080970e+06 7.3061421707238434e+06 7.2516347374113388e+06 7.1910093076428156e+06 7.1244686812231699e+06 7.0521667962247608e+06 6.9746707705125688e+06 6.8929455133325364e+06 6.8088276181512205e+06 6.7250523283830304e+06 6.6460875325425752e+06 6.5775723222915558e+06 6.5283162800916070e+06 6.5106000516745010e+06 6.5422643678210322e+06 6.6492778573918780e+06 6.8709924822709970e+06 7.2697049352119248e+06 7.9503699948169990e+06 1.0970505048688378e+06 +1.3266055351784507e+01 3.3581647147824720e+07 3.3578218735791847e+07 3.3572371182719484e+07 3.3564438671185791e+07 3.3555903428682499e+07 3.3549263341169771e+07 3.3545711932999663e+07 3.3543299293430224e+07 3.3539895527677689e+07 3.3534854652449384e+07 3.3528163437038492e+07 3.3519593754436787e+07 3.3508786882324822e+07 3.3495357820712131e+07 3.3478888844391316e+07 3.3458879023865815e+07 3.3434726721946988e+07 3.3405726665924117e+07 3.3371054454980850e+07 3.3329742355884038e+07 3.3280661267543949e+07 3.3222474433041587e+07 3.3153367339124244e+07 3.3070225203339096e+07 3.2969525397961404e+07 3.2849506174520697e+07 3.2708379698394492e+07 3.2543253043937892e+07 3.2350575369599033e+07 3.2126347702066097e+07 3.1866160872240689e+07 3.1565220409969013e+07 3.1218398252511729e+07 3.0820323291408643e+07 3.0365524158086997e+07 2.9848629121369202e+07 2.9264642422123022e+07 2.8609296987172756e+07 2.7879490215124473e+07 2.7073780485008415e+07 2.6124387626318179e+07 2.5092758585054331e+07 2.3987621952281475e+07 2.2822287805263225e+07 2.1614524141502894e+07 2.0385849648237441e+07 1.9160203756636549e+07 1.7962092005786747e+07 1.6814476408752546e+07 1.5736673376001820e+07 1.4742810873038821e+07 1.3841332243016103e+07 1.3035185909550192e+07 1.2321889228755008e+07 1.1695374355181711e+07 1.1147672147910746e+07 1.0669813779353647e+07 1.0253042368802648e+07 9.8892065942002516e+06 9.5714394762047343e+06 9.2935893417349961e+06 9.0508444306098856e+06 8.8388142049470991e+06 8.6543176713274457e+06 8.4942479490805734e+06 8.3560209194021616e+06 8.2376276625045855e+06 8.1369781924596066e+06 8.0520570269595683e+06 7.9813809249221515e+06 7.9231289223617315e+06 7.8759457441204423e+06 7.8382891109888842e+06 7.8088141579760360e+06 7.7857109214858869e+06 7.7672248602492744e+06 7.7520261464042477e+06 7.7388644451618837e+06 7.7265303424647283e+06 7.7178300862486148e+06 7.7090541604260085e+06 7.7001034655435272e+06 7.6907299228512459e+06 7.6810605699219834e+06 7.6708197165007992e+06 7.6603391169991065e+06 7.6487022046421403e+06 7.6362481386085432e+06 7.6227477288063001e+06 7.6080220053946078e+06 7.5918534910971494e+06 7.5739971924089752e+06 7.5541036887574084e+06 7.5322034243408740e+06 7.5074830258587636e+06 7.4797670151757039e+06 7.4486532234894251e+06 7.4137088552354500e+06 7.3744875868938770e+06 7.3305417403012924e+06 7.2813786799608823e+06 7.2270559807159705e+06 7.1666360358937327e+06 7.1003209434386967e+06 7.0282641196870254e+06 6.9510307603193941e+06 6.8695825041204719e+06 6.7857497195923347e+06 6.7022583837897256e+06 6.6235612195182033e+06 6.5552782362983003e+06 6.5061891439636452e+06 6.4885329684597487e+06 6.5200899623804968e+06 6.6267407383503001e+06 6.8477038806252275e+06 7.2450649396690698e+06 7.9234229288736479e+06 1.0928409046680734e+06 +1.3271023674558766e+01 3.3483245135324601e+07 3.3479826399890810e+07 3.3473995761127718e+07 3.3466085831134740e+07 3.3457574343491215e+07 3.3450951680412561e+07 3.3447407865570404e+07 3.3444998781747784e+07 3.3441600731131367e+07 3.3436569450018626e+07 3.3429891548863206e+07 3.3421339378531877e+07 3.3410555046487693e+07 3.3397154413973495e+07 3.3380720677309424e+07 3.3360754024129774e+07 3.3336654156577434e+07 3.3307717366308305e+07 3.3273121080532268e+07 3.3231899723005492e+07 3.3182926716068529e+07 3.3124868309343960e+07 3.3055914126510229e+07 3.2972956491543677e+07 3.2872480579804443e+07 3.2752728600723725e+07 3.2611917095747765e+07 3.2447160045305215e+07 3.2254915075343765e+07 3.2031192875985175e+07 3.1771595126880258e+07 3.1471339418587703e+07 3.1125310942919344e+07 3.0728152950568821e+07 3.0274409340162408e+07 2.9758724237949405e+07 2.9176117827494070e+07 2.8522338351992495e+07 2.7794296926315002e+07 2.6990562823200382e+07 2.6043534494595610e+07 2.5014520620526720e+07 2.3912239716199286e+07 2.2749979216860145e+07 2.1545470623779733e+07 2.0320182406147458e+07 1.9097992078915335e+07 1.7903335641236890e+07 1.6759103670635646e+07 1.5684546094145210e+07 1.4693735524038475e+07 1.3795074586783605e+07 1.2991487268203637e+07 1.2280484740442589e+07 1.1656006549125114e+07 1.1110099703084234e+07 1.0633817494878914e+07 1.0218426806831475e+07 9.8557999526448697e+06 9.5390906307596341e+06 9.2621664222353064e+06 9.0202308821701277e+06 8.8089077829646319e+06 8.6250265359694548e+06 8.4654905854284335e+06 8.3277244376637703e+06 8.2097258693945091e+06 8.1094119281633664e+06 8.0247739044687962e+06 7.9543335170185296e+06 7.8962759373704903e+06 7.8492503846428413e+06 7.8117197289916528e+06 7.7823435535152890e+06 7.7593179116109889e+06 7.7408941136612194e+06 7.7257467147799693e+06 7.7126295291494252e+06 7.7003372002658937e+06 7.6916664295033803e+06 7.6829202515755147e+06 7.6739998995809350e+06 7.6646581341858832e+06 7.6550215616558753e+06 7.6448154312273310e+06 7.6343703471601382e+06 7.6227728853648491e+06 7.6103610400401019e+06 7.5969063980418406e+06 7.5822305962546552e+06 7.5661168946411274e+06 7.5483211302405065e+06 7.5284950720518455e+06 7.5066690360518815e+06 7.4820324412525324e+06 7.4544103894131528e+06 7.4234020751049062e+06 7.3885761699343538e+06 7.3494878634511195e+06 7.3056909951307150e+06 7.2566946043992573e+06 7.2025560468453364e+06 7.1423409279847732e+06 7.0762506462196251e+06 7.0044380978128286e+06 6.9274665624260996e+06 6.8462944188703233e+06 6.7627458306609802e+06 6.6795375381726641e+06 6.6011071472500404e+06 6.5330556463185949e+06 6.4841329684414109e+06 6.4665366532360297e+06 6.4979866691040853e+06 6.6042758946826495e+06 6.8244899643317740e+06 7.2205039632997820e+06 7.8965622808377482e+06 1.0886469995007985e+06 +1.3275991997333024e+01 3.3385102945924066e+07 3.3381694202587537e+07 3.3375880339411724e+07 3.3367992903438225e+07 3.3359505115047444e+07 3.3352899839386784e+07 3.3349363607409671e+07 3.3346958081253599e+07 3.3343565744646303e+07 3.3338544049219500e+07 3.3331879447728857e+07 3.3323344768216293e+07 3.3312582946561337e+07 3.3299210703741472e+07 3.3282812156272665e+07 3.3262888606980000e+07 3.3238841095344316e+07 3.3209967474778909e+07 3.3175446997794893e+07 3.3134316241541408e+07 3.3085451147867274e+07 3.3027520967952386e+07 3.2958719455473509e+07 3.2875946028862633e+07 3.2775693654396236e+07 3.2656208493183739e+07 3.2515711454477593e+07 3.2351323412092030e+07 3.2159510444150046e+07 3.1936292886350129e+07 3.1677283246488038e+07 3.1377711151985418e+07 3.1032475022013571e+07 3.0636232435357317e+07 3.0183542523145288e+07 2.9669065230233464e+07 2.9087836640405186e+07 2.8435620267906800e+07 2.7709340896759763e+07 2.6907578646558784e+07 2.5962910205934312e+07 2.4936506205838684e+07 2.3837075058730319e+07 2.2677881556564327e+07 2.1476620737211496e+07 2.0254710925501313e+07 1.9035967837064251e+07 1.7844758087655548e+07 1.6703901004893215e+07 1.5632580229450263e+07 1.4644813208528154e+07 1.3748962015218956e+07 1.2947926322979899e+07 1.2239211192419445e+07 1.1616763587524304e+07 1.1072646659549234e+07 1.0597935785895070e+07 1.0183921562270258e+07 9.8224998811164778e+06 9.5068450651167706e+06 9.2308438959174510e+06 8.9897152001888789e+06 8.7790970180016104e+06 8.5958291343705133e+06 8.4368252867000047e+06 8.2995185796861444e+06 8.1819134658357073e+06 8.0819340040137758e+06 7.9975782361811073e+06 7.9273728253449658e+06 7.8695090591705833e+06 7.8226406371397078e+06 7.7852355626424113e+06 7.7559578531467030e+06 7.7330095602773270e+06 7.7146478277611416e+06 7.6995515802018018e+06 7.6864787678656057e+06 7.6742280789862778e+06 7.6655866991243800e+06 7.6568701736753965e+06 7.6479800672395220e+06 7.6386699772043461e+06 7.6290660799222654e+06 7.6188945610739235e+06 7.6084848785874080e+06 7.5969267407926461e+06 7.5845569807347804e+06 7.5711479597354401e+06 7.5565219194269395e+06 7.5404628546742229e+06 7.5227274303745758e+06 7.5029686012704559e+06 7.4812165556488251e+06 7.4566634957014220e+06 7.4291351013122331e+06 7.3982319260229645e+06 7.3635241039430676e+06 7.3245683328016317e+06 7.2809199648727197e+06 7.2320897090832125e+06 7.1781347026071949e+06 7.1181237526677204e+06 7.0522575604517115e+06 6.9806885038155038e+06 6.9039779525407637e+06 6.8230810359309344e+06 6.7398157324057799e+06 6.6568895752762277e+06 6.5787251020102603e+06 6.5109043408244001e+06 6.4621475435871668e+06 6.4446108966467185e+06 6.4759542776089692e+06 6.5818831125667384e+06 6.8013505124251656e+06 7.1960217723245611e+06 7.8697877950486867e+06 1.0844687329991681e+06 +1.3280960320107283e+01 3.3287220302767828e+07 3.3283821497511543e+07 3.3278024321998164e+07 3.3270159315867070e+07 3.3261695171606928e+07 3.3255107246583741e+07 3.3251578587064926e+07 3.3249176620408334e+07 3.3245789996668357e+07 3.3240777878444739e+07 3.3234126561918329e+07 3.3225609351850703e+07 3.3214870010835610e+07 3.3201526118311983e+07 3.3185162709431097e+07 3.3165282200606387e+07 3.3141286966404833e+07 3.3112476419537216e+07 3.3078031634888105e+07 3.3036991339606248e+07 3.2988233991012540e+07 3.2930431836952738e+07 3.2861782754062526e+07 3.2779193243335944e+07 3.2679164049819320e+07 3.2559945280003261e+07 3.2419762202629108e+07 3.2255742572349939e+07 3.2064360904160943e+07 3.1841647161412239e+07 3.1583224659466717e+07 3.1284335038753062e+07 3.0939889918661170e+07 3.0544561175163187e+07 3.0092923137017623e+07 2.9579651529030222e+07 2.8999798292870246e+07 2.8349142168549456e+07 2.7624621562201414e+07 2.6824827393679228e+07 2.5882514202840380e+07 2.4858714788715456e+07 2.3762127434184622e+07 2.2605994286909409e+07 2.1407973954453558e+07 2.0189434690992452e+07 1.8974130529716972e+07 1.7786358859362297e+07 1.6648867943002565e+07 1.5580775331536962e+07 1.4596043494768545e+07 1.3702994115187341e+07 1.2904502678763019e+07 1.2198068206659641e+07 1.1577645108223272e+07 1.1035312669672476e+07 1.0562168317840915e+07 1.0149526312260527e+07 9.7893060671811663e+06 9.4747024760227147e+06 9.1996214676544294e+06 8.9592970966548603e+06 8.7493816282817237e+06 8.5667251902040262e+06 8.4082517812913693e+06 8.2714030779530639e+06 8.1541901878166720e+06 8.0545441589548830e+06 7.9704697635656958e+06 7.9004985934747607e+06 7.8428280330762109e+06 7.7961162483291952e+06 7.7588363598046592e+06 7.7296568056147844e+06 7.7067856169529287e+06 7.6884857525894530e+06 7.6734404931917256e+06 7.6604119122532383e+06 7.6482027299450990e+06 7.6395906467298688e+06 7.6309036786337616e+06 7.6220437207177449e+06 7.6127652044061953e+06 7.6031938775235442e+06 7.5930568591782367e+06 7.5826824647408631e+06 7.5711635247772392e+06 7.5588357149404287e+06 7.5454721685536578e+06 7.5308957300667102e+06 7.5148911268594945e+06 7.4972158490518732e+06 7.4775240333106834e+06 7.4558457407171894e+06 7.4313759475944638e+06 7.4039409101430550e+06 7.3731425365313794e+06 7.3385524186583217e+06 7.2997287576169632e+06 7.2562284135960992e+06 7.2075637596763568e+06 7.1537917153987028e+06 7.0939842793044019e+06 7.0283414576325184e+06 6.9570151115051238e+06 6.8805647069620667e+06 6.7999421342159407e+06 6.7169592064318471e+06 6.6343142793989833e+06 6.5564148706380147e+06 6.4888241088514421e+06 6.4402326600162350e+06 6.4227554898613701e+06 6.4539925780619169e+06 6.5595621787317647e+06 6.7782853045321787e+06 7.1716181335750325e+06 7.8430992165021710e+06 1.0803060489876557e+06 +1.3285928642881542e+01 3.3189596564167626e+07 3.3186207556272123e+07 3.3180427117836021e+07 3.3172584498619627e+07 3.3164143942556437e+07 3.3157573331318963e+07 3.3154052233886544e+07 3.3151653828490116e+07 3.3148272916412763e+07 3.3143270366870716e+07 3.3136632320623238e+07 3.3128132558513615e+07 3.3117415668335386e+07 3.3104100086696595e+07 3.3087771765859187e+07 3.3067934234015316e+07 3.3043991198690012e+07 3.3015243629471980e+07 3.2980874420725960e+07 3.2939924446113963e+07 3.2891274674384691e+07 3.2833600345163006e+07 3.2765103451159593e+07 3.2682697563812558e+07 3.2582891194857292e+07 3.2463938390007075e+07 3.2324068769077700e+07 3.2160416954984080e+07 3.1969465884308647e+07 3.1747255130273096e+07 3.1489418795019217e+07 3.1191210508346044e+07 3.0847555062671311e+07 3.0453138600206267e+07 3.0002550612645186e+07 2.9490482566076998e+07 2.8912002217827726e+07 2.8262903488429211e+07 2.7540138359317735e+07 2.6742308504058816e+07 2.5802345928811885e+07 2.4781145817800555e+07 2.3687396297847252e+07 2.2534316871469919e+07 2.1339529749183137e+07 2.0124353188362118e+07 1.8912479656557269e+07 1.7728137471761283e+07 1.6594004017490434e+07 1.5529130951094307e+07 1.4547425952051194e+07 1.3657170474516984e+07 1.2861215941414120e+07 1.2157055406066246e+07 1.1538650749972511e+07 1.0998097386673816e+07 1.0526514757002220e+07 1.0115240734798951e+07 9.7562181991940513e+06 9.4426625610138010e+06 9.1684988430624735e+06 8.9289762842905242e+06 8.7197613327711616e+06 8.5377144278508052e+06 8.3797697982979147e+06 8.2433776656382680e+06 8.1265557719843844e+06 8.0272421326278970e+06 7.9434482287661787e+06 7.8737105656426670e+06 7.8162326050418876e+06 7.7696769655919550e+06 7.7325218689926248e+06 7.7034401603357177e+06 7.6806458317453377e+06 7.6624076388421850e+06 7.6474132049304703e+06 7.6344287138971062e+06 7.6222609051328674e+06 7.6136780245783413e+06 7.6050205189906452e+06 7.5961906128326803e+06 7.5869435689106723e+06 7.5774047078985907e+06 7.5673020792994415e+06 7.5569628597219903e+06 7.5454829917817032e+06 7.5331969975421596e+06 7.5198787798165008e+06 7.5053517839456256e+06 7.4894014675028725e+06 7.4717861431499459e+06 7.4521611256693397e+06 7.4305563494727071e+06 7.4061695559451804e+06 7.3788275758081395e+06 7.3481336675277017e+06 7.3136608761030296e+06 7.2749689011663226e+06 7.2316161059965519e+06 7.1831165224479167e+06 7.1295268532473687e+06 7.0699222778463699e+06 7.0045021098412555e+06 6.9334176952765547e+06 6.8572266025592173e+06 6.7768774932074063e+06 6.6941760349308746e+06 6.6118114353997903e+06 6.5341762405105764e+06 6.4668147399752345e+06 6.4183881088772211e+06 6.4009702246081745e+06 6.4321013611667305e+06 6.5373128804619974e+06 6.7552941208373234e+06 7.1472928144922955e+06 7.8164962908601295e+06 1.0761588914824424e+06 +1.3290896965655801e+01 3.3092231152857170e+07 3.3088851918263119e+07 3.3083088151044827e+07 3.3075267884030871e+07 3.3066850858270865e+07 3.3060297523569986e+07 3.3056783977933887e+07 3.3054389135464676e+07 3.3051013933859341e+07 3.3046020944439504e+07 3.3039396153742373e+07 3.3030913818094626e+07 3.3020219348934509e+07 3.3006932038715318e+07 3.2990638755331397e+07 3.2970844136946730e+07 3.2946953221981924e+07 3.2918268534314957e+07 3.2883974785005897e+07 3.2843114990732186e+07 3.2794572627654579e+07 3.2737025922251154e+07 3.2668680976405967e+07 3.2586458419916023e+07 3.2486874519168105e+07 3.2368187252852727e+07 3.2228630583487399e+07 3.2065345989742920e+07 3.1874824814438637e+07 3.1653116222792245e+07 3.1395865083194643e+07 3.1098336991058458e+07 3.0755469884606134e+07 3.0361964141547237e+07 2.9912424381740246e+07 2.9401557773982581e+07 2.8824447849103726e+07 2.8176903663012180e+07 2.7455890725753345e+07 2.6660021418161102e+07 2.5722404828323178e+07 2.4703798742782112e+07 2.3612881106015578e+07 2.2462848774849124e+07 2.1271287596148148e+07 2.0059465904367443e+07 1.8851014718332410e+07 1.7670093441299442e+07 1.6539308761937762e+07 1.5477646639798235e+07 1.4498960150672136e+07 1.3611490682046710e+07 1.2818065717713360e+07 1.2116172414482599e+07 1.1499780152421394e+07 1.0961000464655809e+07 1.0490974770517321e+07 1.0081064508649623e+07 9.7232359663009439e+06 9.4107250184096843e+06 9.1374757285235785e+06 8.8987524765700363e+06 8.6902358511400595e+06 8.5087965724022444e+06 8.3513790675097406e+06 8.2154420765955970e+06 8.0990099556900812e+06 8.0000276653336575e+06 7.9165133745868308e+06 7.8470084867408331e+06 7.7897225217029583e+06 7.7433225369580323e+06 7.7062918393521747e+06 7.6773076673592357e+06 7.6545899554229546e+06 7.6364132378519559e+06 7.6214694672179772e+06 7.6085289250290161e+06 7.5964023571729939e+06 7.5878485855706455e+06 7.5792204479258424e+06 7.5704204970550053e+06 7.5612048244913770e+06 7.5516983251229143e+06 7.5416299758521784e+06 7.5313258182773106e+06 7.5198848969276072e+06 7.5076405840458078e+06 7.4943675494624348e+06 7.4798898374954108e+06 7.4639936335359877e+06 7.4464380701806266e+06 7.4268796364953481e+06 7.4053481407629726e+06 7.3810440803833921e+06 7.3537948588340003e+06 7.3232050805255007e+06 7.2888492389136003e+06 7.2502885273562036e+06 7.2070828073758949e+06 7.1587477642771387e+06 7.1053398847607318e+06 7.0459375188334361e+06 6.9807392897450225e+06 6.9098960301096542e+06 6.8339634167873375e+06 6.7538868929704372e+06 6.6714660006339848e+06 6.5893808286941005e+06 6.5120089995713234e+06 6.4448760243191626e+06 6.3966136818595696e+06 6.3792548931364473e+06 6.4102804181750556e+06 6.5151350055862293e+06 6.7323767421056926e+06 7.1230455831047427e+06 7.7899787644378124e+06 1.0720272046908117e+06 +1.3295865288430059e+01 3.2995123495960575e+07 3.2991754001509868e+07 3.2986006855642822e+07 3.2978208906166449e+07 3.2969815350041065e+07 3.2963279254212592e+07 3.2959773250105709e+07 3.2957381972172715e+07 3.2954012479760733e+07 3.2949029041860122e+07 3.2942417491938230e+07 3.2933952561241884e+07 3.2923280483244631e+07 3.2910021404942166e+07 3.2893763108382724e+07 3.2874011339965466e+07 3.2850172466752212e+07 3.2821550564579923e+07 3.2787332158175055e+07 3.2746562403891649e+07 3.2698127281257402e+07 3.2640707998652671e+07 3.2572514760176770e+07 3.2490475242087804e+07 3.2391113453207824e+07 3.2272691298996907e+07 3.2133447076331515e+07 3.1970529107120451e+07 3.1780437125098836e+07 3.1559229869678915e+07 3.1302562954860486e+07 3.1005713917972963e+07 3.0663633815946799e+07 3.0271037231132790e+07 2.9822543876882393e+07 2.9312876586245876e+07 2.8737134621386927e+07 2.8091142128639974e+07 2.7371878099997852e+07 2.6577965577389643e+07 2.5642690346800841e+07 2.4626673014303636e+07 2.3538581316033401e+07 2.2391589462677088e+07 2.1203246971107151e+07 1.9994772326862596e+07 1.8789735216861300e+07 1.7612226285482746e+07 1.6484781710978875e+07 1.5426321950393192e+07 1.4450645661930554e+07 1.3565954327590570e+07 1.2775051615456598e+07 1.2075418856644373e+07 1.1461032956110382e+07 1.0924021558567844e+07 1.0455548026366541e+07 1.0046997313437147e+07 9.6903590584303476e+06 9.3788895472568050e+06 9.1065518311624955e+06 8.8686253876833152e+06 8.6608049037917946e+06 8.4799713496595994e+06 8.3230793194276411e+06 8.1875960453696698e+06 8.0715524769503195e+06 7.9729004980456252e+06 7.8896649445052622e+06 7.8203921023281813e+06 7.7632975303302752e+06 7.7170527111095181e+06 7.6801460207083821e+06 7.6512590773895271e+06 7.6286177393933786e+06 7.6105023015958928e+06 7.5956090325117772e+06 7.5827122985197315e+06 7.5706268393216692e+06 7.5621020832522037e+06 7.5535032192616537e+06 7.5447331274947319e+06 7.5355487255586144e+06 7.5260744839128237e+06 7.5160403038737448e+06 7.5057710957897352e+06 7.4943689959684713e+06 7.4821662305946713e+06 7.4689382340755733e+06 7.4545096477531837e+06 7.4386673825254850e+06 7.4211713882710943e+06 7.4016793245671587e+06 7.3802208740604948e+06 7.3559992811711105e+06 7.3288425203621341e+06 7.2983565376731995e+06 7.2641172703500055e+06 7.2256874006802095e+06 7.1826282836469281e+06 7.1344572526374655e+06 7.0812305791557496e+06 7.0220297734161085e+06 6.9570527706088731e+06 6.8864498915609466e+06 6.8107749276738465e+06 6.7309701141285328e+06 6.6488288868523221e+06 6.5670222452553986e+06 6.4899129362993725e+06 6.4230077525487849e+06 6.3749091712075407e+06 6.3576092882474093e+06 6.3885295408732034e+06 6.4930283424970526e+06 6.7095329496609643e+06 7.0988762080583982e+06 7.7635463842100250e+06 1.0679109330105458e+06 +1.3300833611204318e+01 3.2898273087112781e+07 3.2894913257330105e+07 3.2889182675838061e+07 3.2881406999666061e+07 3.2873036850185405e+07 3.2866517954866450e+07 3.2863019481999710e+07 3.2860631770169441e+07 3.2857267985643245e+07 3.2852294090642173e+07 3.2845695766693167e+07 3.2837248219388273e+07 3.2826598502659973e+07 3.2813367616762962e+07 3.2797144256368268e+07 3.2777435274354212e+07 3.2753648364317495e+07 3.2725089151518401e+07 3.2690945971511900e+07 3.2650266116839796e+07 3.2601938066378642e+07 3.2544646005574305e+07 3.2476604233706802e+07 3.2394747461520381e+07 3.2295607428194180e+07 3.2177449959653977e+07 3.2038517678903732e+07 3.1875965738459915e+07 3.1686302247718591e+07 3.1465595502447300e+07 3.1209511841717534e+07 3.0913340721029386e+07 3.0572046288964700e+07 3.0180357301672827e+07 2.9732908531515375e+07 2.9224438437209357e+07 2.8650061970296383e+07 2.8005618322600819e+07 2.7288099921571665e+07 2.6496140424094673e+07 2.5563201930629805e+07 2.4549768084018581e+07 2.3464496386192545e+07 2.2320538401620448e+07 2.1135407350881871e+07 1.9930271944766369e+07 1.8728640655000806e+07 1.7554535522869229e+07 1.6430422400276523e+07 1.5375156436631326e+07 1.4402482058141960e+07 1.3520561001955021e+07 1.2732173243320322e+07 1.2034794358260404e+07 1.1422408802486274e+07 1.0887160324249817e+07 1.0420234193333371e+07 1.0013038829561787e+07 9.6575871663225517e+06 9.3471558474089112e+06 9.0757268588579390e+06 8.8385947325705197e+06 8.6314682118300553e+06 8.4512384861257114e+06 8.2948702852280522e+06 8.1598393071887465e+06 8.0441830744643025e+06 7.9458603724091323e+06 7.8629026826521866e+06 7.7938611586192921e+06 7.7369573788711140e+06 7.6908672373821205e+06 7.6540841635227334e+06 7.6252941417755913e+06 7.6027289357086811e+06 7.5846745827050554e+06 7.5698316539219748e+06 7.5569785878831185e+06 7.5449341054952936e+06 7.5364382717995644e+06 7.5278685874576494e+06 7.5191282588996859e+06 7.5099750271483595e+06 7.5005329396200161e+06 7.4905328190514185e+06 7.4802984482582361e+06 7.4689350452825343e+06 7.4567736939728912e+06 7.4435905908657005e+06 7.4292109724085536e+06 7.4134224726634193e+06 7.3959858561892947e+06 7.3765599492776664e+06 7.3551743094467400e+06 7.3310349191848803e+06 7.3039703221602598e+06 7.2735878017152026e+06 7.2394647342746062e+06 7.2011652862650603e+06 7.1582523013184071e+06 7.1102447556188423e+06 7.0571987062377911e+06 6.9981988133323612e+06 6.9334423262770707e+06 6.8630790557804527e+06 6.7876609138214206e+06 6.7081269378853720e+06 6.6262644774558116e+06 6.5447354716113741e+06 6.4678878397336062e+06 6.4012097158686221e+06 6.3532743696837174e+06 6.3360332032827940e+06 6.3668485215920378e+06 6.4709926801199131e+06 6.6867625254025534e+06 7.0747844585926151e+06 7.7371988978138445e+06 1.0638100210293212e+06 +1.3305801933978577e+01 3.2801679193008188e+07 3.2798329229810897e+07 3.2792615073226590e+07 3.2784861598649226e+07 3.2776514791813441e+07 3.2770013057980210e+07 3.2766522106001798e+07 3.2764137961805578e+07 3.2760779883828435e+07 3.2755815523053754e+07 3.2749230410227358e+07 3.2740800224722881e+07 3.2730172839363225e+07 3.2716970106319103e+07 3.2700781631405730e+07 3.2681115372227706e+07 3.2657380346752834e+07 3.2628883727185667e+07 3.2594815657039274e+07 3.2554225561643232e+07 3.2506004415071599e+07 3.2448839375018232e+07 3.2380948828979634e+07 3.2299274510253891e+07 3.2200355876142796e+07 3.2082462666881654e+07 3.1943841823271047e+07 3.1781655315855797e+07 3.1592419614490028e+07 3.1372212553449318e+07 3.1116711176287219e+07 3.0821216833016407e+07 3.0480706736788064e+07 3.0089923786865331e+07 2.9643517779961180e+07 2.9136242762133289e+07 2.8563229332341492e+07 2.7920331683073819e+07 2.7204555630841721e+07 2.6414545401579689e+07 2.5483939027207669e+07 2.4473083404556267e+07 2.3390625775868442e+07 2.2249695059363633e+07 2.1067768213325545e+07 1.9865964247987323e+07 1.8667730536675159e+07 1.7497020673094485e+07 1.6376230366565647e+07 1.5324149653316597e+07 1.4354468912641311e+07 1.3475310296909314e+07 1.2689430211008174e+07 1.1994298545936193e+07 1.1383907333866805e+07 1.0850416418385793e+07 1.0385032941092486e+07 9.9791887382559124e+06 9.6249199814903960e+06 9.3155236194810402e+06 9.0450005202364959e+06 8.8086602268914208e+06 8.6022254970942456e+06 8.4225977090122625e+06 8.2667516967941020e+06 8.1321715979793090e+06 8.0169014875967884e+06 7.9189070307386778e+06 7.8362263338353671e+06 7.7674154024889041e+06 7.7107018159000976e+06 7.6647658657631222e+06 7.6281060188956615e+06 7.5994126125125866e+06 7.5769232970609274e+06 7.5589298344398895e+06 7.5441370851793298e+06 7.5313275472750673e+06 7.5193239102311917e+06 7.5108569060405809e+06 7.5023163076165803e+06 7.4936056466512615e+06 7.4844834849508023e+06 7.4750734482438071e+06 7.4651072776850341e+06 7.4549076323363371e+06 7.4435828018897846e+06 7.4314627315940754e+06 7.4183243776654415e+06 7.4039935697615091e+06 7.3882586627773326e+06 7.3708812333255662e+06 7.3515212706403667e+06 7.3302082076513516e+06 7.3061507559285490e+06 7.2791780265970854e+06 7.2488986360334009e+06 7.2148913951734547e+06 7.1767219498314895e+06 7.1339546275177179e+06 7.0861100419001458e+06 7.0332440364221055e+06 6.9744444109037109e+06 6.9099077311922507e+06 6.8397832994921878e+06 6.7646211544060484e+06 6.6853571460039355e+06 6.6037725568709737e+06 6.5225202948447736e+06 6.4459334994509630e+06 6.3794817060348662e+06 6.3317090706030345e+06 6.3145264321074244e+06 6.3452371531976247e+06 6.4490278079415737e+06 6.6640652517857831e+06 7.0507701045399969e+06 7.7109360535292942e+06 1.0597244135241075e+06 +1.3310770256752836e+01 3.2705341414921328e+07 3.2702001155299649e+07 3.2696303489119109e+07 3.2688572135849703e+07 3.2680248608794075e+07 3.2673763996774327e+07 3.2670280555311214e+07 3.2667899980240643e+07 3.2664547607426394e+07 3.2659592772152353e+07 3.2653020855593521e+07 3.2644608010249536e+07 3.2634002926325418e+07 3.2620828306548860e+07 3.2604674666403182e+07 3.2585051066438138e+07 3.2561367846899856e+07 3.2532933724424448e+07 3.2498940647599347e+07 3.2458440171057895e+07 3.2410325760130297e+07 3.2353287539794348e+07 3.2285547978795536e+07 3.2204055821074296e+07 3.2105358229869850e+07 3.1987728853536446e+07 3.1849418942309778e+07 3.1687597272277236e+07 3.1498788658453964e+07 3.1279080455848474e+07 3.1024160391905967e+07 3.0729341687529668e+07 3.0389614593400959e+07 2.9999736121154044e+07 2.9554371057395384e+07 2.9048288997140933e+07 2.8476636144900177e+07 2.7835281649146676e+07 2.7121244669164699e+07 2.6333179954100151e+07 2.5404901084837306e+07 2.4396618429543495e+07 2.3316968945363015e+07 2.2179058904609423e+07 2.1000329037347656e+07 1.9801848727557831e+07 1.8607004366861228e+07 1.7439681256815169e+07 1.6322205147600530e+07 1.5273301156272855e+07 1.4306605799748944e+07 1.3430201805235619e+07 1.2646822129139356e+07 1.1953931047189370e+07 1.1345528193495475e+07 1.0813789498539433e+07 1.0349943940119840e+07 9.9454467215581462e+06 9.5923571962314378e+06 9.2839925648479778e+06 9.0143725246716104e+06 8.7788215870477948e+06 8.5730764821405318e+06 8.3940487462297659e+06 8.2387232867006306e+06 8.1045926543295356e+06 7.9897074564026678e+06 7.8920402160242163e+06 7.8096356435137428e+06 7.7410545814619726e+06 7.6845305906678103e+06 7.6387483468842013e+06 7.6022113385911239e+06 7.5736142422362864e+06 7.5512005767986923e+06 7.5332678107120842e+06 7.5185250806695400e+06 7.5057589314853288e+06 7.4937960087152179e+06 7.4853577414230183e+06 7.4768461354742451e+06 7.4681650467729131e+06 7.4590738552781418e+06 7.4496957663879422e+06 7.4397634367327830e+06 7.4295984053069921e+06 7.4183120234264163e+06 7.4062331014992530e+06 7.3931393529538577e+06 7.3788571987458533e+06 7.3631757123106811e+06 7.3458572796848500e+06 7.3265630493090916e+06 7.3053223300064160e+06 7.2813465535248667e+06 7.2544653966901256e+06 7.2242888045982262e+06 7.1903970181319490e+06 7.1523571577200517e+06 7.1097350299755028e+06 7.0620528807683671e+06 7.0093663407182135e+06 6.9507663390615946e+06 6.8864487603744343e+06 6.8165623999993820e+06 6.7416554291847264e+06 6.6626605208219970e+06 6.5813529100900795e+06 6.5003765025923476e+06 6.4240497055867985e+06 6.3578235153382979e+06 6.3102130678121001e+06 6.2930887691272050e+06 6.3236952291070474e+06 6.4271335159891164e+06 6.6414409118438987e+06 7.0268329163456205e+06 7.6847576003046911e+06 1.0556540554605681e+06 +1.3315738579527094e+01 3.2609259199499633e+07 3.2605928537230078e+07 3.2600247335534334e+07 3.2592538042885128e+07 3.2584237735691659e+07 3.2577770205305770e+07 3.2574294263844479e+07 3.2571917259341773e+07 3.2568570590263400e+07 3.2563625271779291e+07 3.2557066536562018e+07 3.2548671009745438e+07 3.2538088197277669e+07 3.2524941651152857e+07 3.2508822795062583e+07 3.2489241790702626e+07 3.2465610298413552e+07 3.2437238576868996e+07 3.2403320376759086e+07 3.2362909378705118e+07 3.2314901535142943e+07 3.2257989933454838e+07 3.2190401116789032e+07 3.2109090827567287e+07 3.2010613922969118e+07 3.1893247953241963e+07 3.1755248469683982e+07 3.1593791041483816e+07 3.1405408813438497e+07 3.1186198643585525e+07 3.0931858922716532e+07 3.0637714719045006e+07 3.0298769293612223e+07 2.9909793739913557e+07 2.9465467799862634e+07 2.8960576579240307e+07 2.8390281846274488e+07 2.7750467660789654e+07 2.7038166478757992e+07 2.6252043526859269e+07 2.5326087552850567e+07 2.4320372613602970e+07 2.3243525356065020e+07 2.2108629407100078e+07 2.0933089302890155e+07 1.9737924875509448e+07 1.8546461651604690e+07 1.7382516795756876e+07 1.6268346282199303e+07 1.5222610502344558e+07 1.4258892294817312e+07 1.3385235120659886e+07 1.2604348609284464e+07 1.1913691490497902e+07 1.1307271025478765e+07 1.0777279223120533e+07 1.0314966861719515e+07 9.9118124623123556e+06 9.5598985036375187e+06 9.2525623856480066e+06 8.9838425822833162e+06 8.7490785301629696e+06 8.5440208902284931e+06 8.3655913264002400e+06 8.2107847882076614e+06 8.0771022135240538e+06 7.9626007216035631e+06 7.8652596719030226e+06 7.7831303578057718e+06 7.7147784437243296e+06 7.6584434530658023e+06 7.6128144320303407e+06 7.5763998750016438e+06 7.5478987842352157e+06 7.5255605288981311e+06 7.5076882660686551e+06 7.4929953954065079e+06 7.4802724959457787e+06 7.4683501567584006e+06 7.4599405340488805e+06 7.4514578273892980e+06 7.4428062159068342e+06 7.4337458950741198e+06 7.4243996513250032e+06 7.4145010537653416e+06 7.4043705250706133e+06 7.3931224681771854e+06 7.3810845623586820e+06 7.3680352758204117e+06 7.3538016189323179e+06 7.3381733813385898e+06 7.3209137559133191e+06 7.3016850465481710e+06 7.2805164384698030e+06 7.2566220747182751e+06 7.2298321960421177e+06 7.1997580720229903e+06 7.1659813688586485e+06 7.1280706768677039e+06 7.0855932770189028e+06 7.0380730421127286e+06 6.9855653907261966e+06 6.9271643713126872e+06 6.8630651894294638e+06 6.7934161351918858e+06 6.7187635184856541e+06 6.6400368452397324e+06 6.5590053226620406e+06 6.4783038830400370e+06 6.4022362488050601e+06 6.3362349366121916e+06 6.2887861556990976e+06 6.2717200092912419e+06 6.3022225432576677e+06 6.4053095948370267e+06 6.6188892891654735e+06 7.0029726650323309e+06 7.6586632877369886e+06 1.0515988919924651e+06 +1.3320706902301353e+01 3.2513431931973688e+07 3.2510110856064353e+07 3.2504446039097473e+07 3.2496758751533736e+07 3.2488481607704967e+07 3.2482031118427590e+07 3.2478562666313771e+07 3.2476189233826548e+07 3.2472848267028201e+07 3.2467912456537351e+07 3.2461366887731016e+07 3.2452988657744933e+07 3.2442428086725492e+07 3.2429309574638613e+07 3.2413225451826416e+07 3.2393686979413934e+07 3.2370107135727014e+07 3.2341797718899302e+07 3.2307954279002022e+07 3.2267632618972320e+07 3.2219731174481116e+07 3.2162945990416750e+07 3.2095507677259877e+07 3.2014378964112200e+07 3.1916122389902081e+07 3.1799019400474027e+07 3.1661329839927830e+07 3.1500236057992306e+07 3.1312279514124993e+07 3.1093566551519413e+07 3.0839806203789916e+07 3.0546335362809379e+07 3.0208170273131493e+07 2.9820096079337910e+07 2.9376807444319267e+07 2.8873104946324181e+07 2.8304165875655092e+07 2.7665889158983685e+07 2.6955320502865512e+07 2.6171135565985285e+07 2.5247497881519567e+07 2.4244345412334200e+07 2.3170294470315963e+07 2.2038406037615210e+07 2.0866048490942392e+07 1.9674192184952289e+07 1.8486101897986311e+07 1.7325526812709291e+07 1.6214653310211573e+07 1.5172077249410892e+07 1.4211327974183191e+07 1.3340409837926809e+07 1.2562009263979433e+07 1.1873579505214179e+07 1.1269135474824511e+07 1.0740885251415094e+07 1.0280101378050661e+07 9.8782856441704780e+06 9.5275435975809824e+06 9.2212327847819403e+06 8.9534104039368443e+06 8.7194307740882020e+06 8.5150584453357067e+06 8.3372251788316024e+06 8.1829359352682531e+06 8.0497000135215893e+06 7.9355810245863451e+06 7.8385651426926237e+06 7.7567102235019132e+06 7.6885867381237298e+06 7.6324401536399871e+06 7.5869638731301771e+06 7.5506713811738333e+06 7.5222659924244843e+06 7.5000029079766637e+06 7.4821909556921432e+06 7.4675477850485332e+06 7.4548679967193315e+06 7.4429861108233463e+06 7.4346050406383220e+06 7.4261511403813614e+06 7.4175289113441613e+06 7.4084993619288383e+06 7.3991848609291939e+06 7.3893198870008858e+06 7.3792237501704302e+06 7.3680138950527273e+06 7.3560168734676344e+06 7.3430119059961978e+06 7.3288265905065555e+06 7.3132514305606540e+06 7.2960504232700113e+06 7.2768870242487052e+06 7.2557902956256531e+06 7.2319770828559445e+06 7.2052781888957145e+06 7.1753062035109214e+06 7.1416442136656977e+06 7.1038622748282822e+06 7.0615291375831543e+06 7.0141702964164969e+06 6.9618409586388171e+06 6.9036382817551335e+06 6.8397567945490060e+06 6.7703442835267549e+06 6.6959452032005116e+06 6.6174859027165286e+06 6.5367295806959309e+06 6.4563022249268517e+06 6.3804929203388095e+06 6.3147157632289082e+06 6.2674281291768420e+06 6.2504199480694914e+06 6.2808188901359327e+06 6.3835558355999831e+06 6.5964101679074066e+06 6.9791891222371003e+06 7.6326528660685113e+06 1.0475588684610544e+06 +1.3325675225075612e+01 3.2417858955186337e+07 3.2414547532717608e+07 3.2408899037940018e+07 3.2401233695501748e+07 3.2392979660648856e+07 3.2386546171783473e+07 3.2383085198231149e+07 3.2380715339190353e+07 3.2377380073154178e+07 3.2372453761813782e+07 3.2365921344497144e+07 3.2357560389607325e+07 3.2347022029997986e+07 3.2333931512288798e+07 3.2317882071975611e+07 3.2298386067855619e+07 3.2274857794053171e+07 3.2246610585749537e+07 3.2212841789420702e+07 3.2172609327031832e+07 3.2124814113325581e+07 3.2068155145809513e+07 3.2000867095407147e+07 3.1919919665926363e+07 3.1821883065855477e+07 3.1705042630418397e+07 3.1567662488310285e+07 3.1406931757217757e+07 3.1219400195970986e+07 3.1001183615238190e+07 3.0748001670921240e+07 3.0455203054935917e+07 3.0117816968424395e+07 2.9730642576447990e+07 2.9288389428486776e+07 2.8785873537161618e+07 2.8218287673141632e+07 2.7581545585520063e+07 2.6872706185557708e+07 2.6090455518603176e+07 2.5169131522084910e+07 2.4168536282349799e+07 2.3097275751515348e+07 2.1968388267941222e+07 2.0799206083521444e+07 1.9610650150013067e+07 1.8425924614145063e+07 1.7268710831490707e+07 1.6161125772525983e+07 1.5121700956369698e+07 1.4163912415188897e+07 1.3295725552735815e+07 1.2519803706684779e+07 1.1833594721646577e+07 1.1231121187424172e+07 1.0704607243553514e+07 1.0245347162096895e+07 9.8448659515930582e+06 9.4952921727157999e+06 9.1900034659238458e+06 8.9230757012356855e+06 8.6898780374123305e+06 8.4861888721562736e+06 8.3089500335482890e+06 8.1551764625292635e+06 8.0223857929568887e+06 7.9086481074133879e+06 7.8119563733715415e+06 7.7303749880323065e+06 7.6624792141461475e+06 7.6065204435796300e+06 7.5611964227650464e+06 7.5250256107930485e+06 7.4967156213805126e+06 7.4745274692999711e+06 7.4567756354117664e+06 7.4421820058804229e+06 7.4295451905157091e+06 7.4177036279907878e+06 7.4093510185532290e+06 7.4009258320814203e+06 7.3923328910060618e+06 7.3833340140479254e+06 7.3740511537227780e+06 7.3642196952730371e+06 7.3541578397763530e+06 7.3429860635796832e+06 7.3310297947523054e+06 7.3180690038286364e+06 7.3039318742845086e+06 7.2884096212953953e+06 7.2712670436415514e+06 7.2521687449140828e+06 7.2311436646652501e+06 7.2074113419251619e+06 7.1808031400864553e+06 7.1509329648887860e+06 7.1173853194760932e+06 7.0797317197595108e+06 7.0375423812076896e+06 6.9903444147620415e+06 6.9381928172475798e+06 6.8801878450841308e+06 6.8165233525103536e+06 6.7473466240455462e+06 6.6732002648020210e+06 6.5950074772827756e+06 6.5145254708533930e+06 6.4343713175443280e+06 6.3588195119389398e+06 6.2932657890949119e+06 6.2461387837042753e+06 6.2291883814738085e+06 6.2594840647504693e+06 6.3618720299478108e+06 6.5740033327819360e+06 6.9554820601790687e+06 7.6067260861904453e+06 1.0435339303945035e+06 +1.3330643547849871e+01 3.2322539636865523e+07 3.2319237907574989e+07 3.2313605755450130e+07 3.2305962311128885e+07 3.2297731330933645e+07 3.2291314801801756e+07 3.2287861295852616e+07 3.2285495011669528e+07 3.2282165444843534e+07 3.2277248623855613e+07 3.2270729342956405e+07 3.2262385641445149e+07 3.2251869463199716e+07 3.2238806900140889e+07 3.2222792091518786e+07 3.2203338491993491e+07 3.2179861709364384e+07 3.2151676613391474e+07 3.2117982344040114e+07 3.2077838938856818e+07 3.2030149787619743e+07 3.1973616835617993e+07 3.1906478807227775e+07 3.1825712369001247e+07 3.1727895386839367e+07 3.1611317079197675e+07 3.1474245850949641e+07 3.1313877575314853e+07 3.1126770295294877e+07 3.0909049271219023e+07 3.0656444760784999e+07 3.0364317232435346e+07 3.0027708816898622e+07 2.9641432669189345e+07 2.9200213191083215e+07 2.8698881791401565e+07 2.8132646679705970e+07 2.7497436383157253e+07 2.6790322971936513e+07 2.6010002832751550e+07 2.5090987926757954e+07 2.4092944681197237e+07 2.3024468664015844e+07 2.1898575570897274e+07 2.0732561563689120e+07 1.9547298265918914e+07 1.8365929309272360e+07 1.7212068376981344e+07 1.6107763211084282e+07 1.5071481183145968e+07 1.4116645196195355e+07 1.3251181861746689e+07 1.2477731551839583e+07 1.1793736770995753e+07 1.1193227810060790e+07 1.0668444860534761e+07 1.0210703887657858e+07 9.8115530698441435e+06 9.4631439244793411e+06 9.1588741334888972e+06 8.8928381865319908e+06 8.6604200394198876e+06 8.4574118960882127e+06 8.2807656212616991e+06 8.1275061053089993e+06 7.9951592911529131e+06 7.8818017128271451e+06 7.7854331095824428e+06 7.7041243994988482e+06 7.6364556219388945e+06 7.5806840747225983e+06 7.5355118341452517e+06 7.4994623181900810e+06 7.4712474262934234e+06 7.4491339687625282e+06 7.4314420616812799e+06 7.4168978148457669e+06 7.4043038346637543e+06 7.3925024659850281e+06 7.3841782257875316e+06 7.3757816607528217e+06 7.3672179134419858e+06 7.3582496102801384e+06 7.3489982888499871e+06 7.3392002380512627e+06 7.3291725536817806e+06 7.3180387339205313e+06 7.3061230867712079e+06 7.2932063302905569e+06 7.2791172316912198e+06 7.2636477154863849e+06 7.2465633795264373e+06 7.2275299716765489e+06 7.2065763093959643e+06 7.1829246165030571e+06 7.1564068150718668e+06 7.1266381225898853e+06 7.0932044538160907e+06 7.0556787804194447e+06 7.0136327780273231e+06 6.9665951688251374e+06 6.9146207399368668e+06 6.8568128365712715e+06 6.7933646406656336e+06 6.7244229363683127e+06 6.6505284853195343e+06 6.5726013535302095e+06 6.4923927803539559e+06 6.4125109507291391e+06 6.3372158159193238e+06 6.2718848086589845e+06 6.2249179152600607e+06 6.2080251060411381e+06 6.2382178626567740e+06 6.3402579700825801e+06 6.5516685690632379e+06 6.9318512516855039e+06 7.5808826996537335e+06 1.0395240235072880e+06 +1.3335611870624129e+01 3.2227473620751396e+07 3.2224181405946314e+07 3.2218565618276633e+07 3.2210944036844540e+07 3.2202736055603925e+07 3.2196336445696324e+07 3.2192890396170437e+07 3.2190527688326709e+07 3.2187203819130015e+07 3.2182296479567967e+07 3.2175790320093177e+07 3.2167463850164097e+07 3.2156969823161405e+07 3.2143935175063726e+07 3.2127954947320711e+07 3.2108543688700441e+07 3.2085118318496693e+07 3.2056995238601021e+07 3.2023375379601553e+07 3.1983320891199391e+07 3.1935737634140074e+07 3.1879330496580459e+07 3.1812342249474730e+07 3.1731756510093562e+07 3.1634158789680667e+07 3.1517842183616340e+07 3.1381079364731405e+07 3.1221072949301418e+07 3.1034389249206007e+07 3.0817162956693057e+07 3.0565134910868194e+07 3.0273677333083469e+07 2.9937845256762788e+07 2.9552465796343476e+07 2.9112278171607394e+07 2.8612129149609011e+07 2.8047242337238114e+07 2.7413560995565072e+07 2.6708170307967465e+07 2.5929776957429737e+07 2.5013066548759762e+07 2.4017570067498766e+07 2.2951872673233438e+07 2.1828967420333877e+07 2.0666114415553819e+07 1.9484136028909642e+07 1.8306115493616309e+07 1.7155598975096118e+07 1.6054565168837048e+07 1.5021417490708811e+07 1.4069525896547100e+07 1.3206778362629216e+07 1.2435792414795125e+07 1.1754005285381412e+07 1.1155454990400841e+07 1.0632397764199411e+07 1.0176171229379648e+07 9.7783466849822663e+06 9.4310985490834117e+06 9.1278444926710259e+06 8.8626975729183108e+06 8.6310565001646560e+06 8.4287272432440165e+06 8.2526716733845975e+06 8.0999245996340606e+06 7.9680202480949769e+06 7.8550415842225738e+06 7.7589950976154115e+06 7.6779582066485966e+06 7.6105157122938158e+06 7.5549307995550288e+06 7.5099098611365622e+06 7.4739812583262492e+06 7.4458611630114894e+06 7.4238221628958993e+06 7.4061899915963272e+06 7.3916949694929747e+06 7.3791436871368131e+06 7.3673823831529776e+06 7.3590864209679384e+06 7.3507183852934930e+06 7.3421837378237192e+06 7.3332459100932935e+06 7.3240260260823378e+06 7.3142612754265582e+06 7.3042676523038168e+06 7.2931716668576878e+06 7.2812965106896628e+06 7.2684236469818540e+06 7.2543824247927116e+06 7.2389654756955449e+06 7.2219391940456349e+06 7.2029704682750357e+06 7.1820879942610366e+06 7.1585166717929645e+06 7.1320889799283501e+06 7.1024214436539151e+06 7.0691013848241549e+06 7.0317032261648616e+06 6.9898000987824528e+06 6.9429223308852017e+06 6.8911245006741146e+06 6.8335130320813376e+06 6.7702804369540783e+06 6.7015730006764960e+06 6.6279296473662714e+06 6.5502673166088555e+06 6.4703312969686007e+06 6.3907209148665657e+06 6.3156816251201127e+06 6.2505726169011360e+06 6.2037653203707254e+06 6.1869299188403618e+06 6.2170200799370473e+06 6.3187134487516601e+06 6.5294056625986146e+06 6.9082964701543823e+06 7.5551224586510928e+06 1.0355290936996045e+06 +1.3340580193398388e+01 3.2132660339107145e+07 3.2129377541641939e+07 3.2123778076553095e+07 3.2116178311636489e+07 3.2107993272366691e+07 3.2101610541456737e+07 3.2098171937087987e+07 3.2095812806980599e+07 3.2092494633777317e+07 3.2087596766753465e+07 3.2081103713634189e+07 3.2072794453462191e+07 3.2062322547579687e+07 3.2049315774696913e+07 3.2033370076982930e+07 3.2014001095511060e+07 3.1990627059016388e+07 3.1962565898932364e+07 3.1929020333714247e+07 3.1889054621579085e+07 3.1841577090405028e+07 3.1785295566265453e+07 3.1718456859681226e+07 3.1638051526792586e+07 3.1540672712012660e+07 3.1424617381380655e+07 3.1288162467438560e+07 3.1128517316946536e+07 3.0942256495608333e+07 3.0725524109800272e+07 3.0474071559502665e+07 3.0183282795503378e+07 2.9848225727056026e+07 2.9463741397536706e+07 2.9024583810478143e+07 2.8525615053193014e+07 2.7962074088548347e+07 2.7329918867303122e+07 2.6626247640546169e+07 2.5849777342564397e+07 2.4935366842192281e+07 2.3942411900770620e+07 2.2879487245533500e+07 2.1759563291096624e+07 2.0599864124250401e+07 1.9421162936263539e+07 1.8246482678468417e+07 1.7099302152821820e+07 1.6001531189815551e+07 1.4971509440993637e+07 1.4022554096593972e+07 1.3162514653995113e+07 1.2393985911880437e+07 1.1714399897842698e+07 1.1117802376992164e+07 1.0596465617256559e+07 1.0141748862720151e+07 9.7452464838769976e+06 9.3991557435150221e+06 9.0969142494040970e+06 8.8326535742151178e+06 8.6017871403869726e+06 8.4001346404435560e+06 8.2246679220177373e+06 8.0724316821976630e+06 7.9409684044601452e+06 7.8283674656672683e+06 7.7326420844421862e+06 7.6518761588893197e+06 7.5846592366569163e+06 7.5292603712092796e+06 7.4843902582451580e+06 7.4485821868196800e+06 7.4205565880105253e+06 7.3985918088692855e+06 7.3810191828820026e+06 7.3665732280147988e+06 7.3540645065220585e+06 7.3423431384860333e+06 7.3340753633466177e+06 7.3257357652363302e+06 7.3172301239636475e+06 7.3083226735831434e+06 7.2991341258231644e+06 7.2894025681206295e+06 7.2794428966990504e+06 7.2683846238093963e+06 7.2565498283089325e+06 7.2437207161144828e+06 7.2297272162717348e+06 7.2143626651136428e+06 7.1973942509400984e+06 7.1784899990735557e+06 7.1576784842925938e+06 7.1341872736092955e+06 7.1078494013318066e+06 7.0782826957365917e+06 7.0450758812368270e+06 7.0078048269644855e+06 6.9660441148048611e+06 6.9193256738081230e+06 6.8677038740304867e+06 6.8102882080603149e+06 6.7472705198900793e+06 6.6787965977364695e+06 6.6054035341138020e+06 6.5280051522367168e+06 6.4483408090308812e+06 6.3690010008892966e+06 6.2942167329283822e+06 6.2293290093425252e+06 6.1826807960721124e+06 6.1659026174748959e+06 6.1958905132035837e+06 6.2972382592429901e+06 6.5072143997704089e+06 6.8848174895908870e+06 7.5294451160189183e+06 1.0315490870567829e+06 +1.3345548516172647e+01 3.2038099126705267e+07 3.2034825811166573e+07 3.2029242595588766e+07 3.2021664573812276e+07 3.2013502419614039e+07 3.2007136527777635e+07 3.2003705357189629e+07 3.2001349806290518e+07 3.1998037327375054e+07 3.1993148923909549e+07 3.1986668962063607e+07 3.1978376889814321e+07 3.1967927074925914e+07 3.1954948137484577e+07 3.1939036918906227e+07 3.1919710150848307e+07 3.1896387369291369e+07 3.1868388032785900e+07 3.1834916644657385e+07 3.1795039568400718e+07 3.1747667594797965e+07 3.1691511483011812e+07 3.1624822076244384e+07 3.1544596857517499e+07 3.1447436592222020e+07 3.1331642110926315e+07 3.1195494597536083e+07 3.1036210116954383e+07 3.0850371473288301e+07 3.0634132169462971e+07 3.0383254145846784e+07 3.0093133059205476e+07 2.9758849667714942e+07 2.9375258913276125e+07 2.8937129548980426e+07 2.8439338944472805e+07 2.7877141377282839e+07 2.7246509443859767e+07 2.6544554417548832e+07 2.5770003439084329e+07 2.4857888262214683e+07 2.3867469641589448e+07 2.2807311848359581e+07 2.1690362659096558e+07 2.0533810175930131e+07 1.9358378486326825e+07 1.8187030376172982e+07 1.7043177438156448e+07 1.5948660819046058e+07 1.4921756597007632e+07 1.3975729377678735e+07 1.3118390335453747e+07 1.2352311660331173e+07 1.1674920242328363e+07 1.1080269619256690e+07 1.0560648083252493e+07 1.0107436463978451e+07 9.7122521541943941e+06 9.3673152055500466e+06 9.0660831103882808e+06 8.8027059049914330e+06 8.5726116815607622e+06 8.3716338152088067e+06 8.1967540999704851e+06 8.0450270903814407e+06 7.9140035015815832e+06 7.8017791018969417e+06 7.7063738176783202e+06 7.6258780062750913e+06 7.5588859471208612e+06 7.5036725434563924e+06 7.4589527806049772e+06 7.4232648599092299e+06 7.3953334584089462e+06 7.3734426644861242e+06 7.3559293939054720e+06 7.3415323492396446e+06 7.3290660520613659e+06 7.3173844915838297e+06 7.3091448127978006e+06 7.3008335607340094e+06 7.2923568322870107e+06 7.2834796614789171e+06 7.2743223490960356e+06 7.2646238774804790e+06 7.2546980485232593e+06 7.2436773667995101e+06 7.2318828020484941e+06 7.2190973005324509e+06 7.2051513694153996e+06 7.1898390475337654e+06 7.1729283145723483e+06 7.1540883290459011e+06 7.1333475451482311e+06 7.1099361883796062e+06 7.0836878465608582e+06 7.0542216470823102e+06 7.0211277123971917e+06 6.9839833533716062e+06 6.9423645980196455e+06 6.8958049710503714e+06 6.8443586351410411e+06 6.7871381415344365e+06 6.7243346685609100e+06 6.6560935088814450e+06 6.5829499292941708e+06 6.5058146466812538e+06 6.4264211054187668e+06 6.3473510002752133e+06 6.2728209332763925e+06 6.2081537820282616e+06 6.1616641399531811e+06 6.1449430000682287e+06 6.1748289596050764e+06 6.2758321953858500e+06 6.4850945675421823e+06 6.8614140845849719e+06 7.5038504252449842e+06 1.0275839498486947e+06 +1.3350516838946906e+01 3.1943789555966627e+07 3.1940525702611391e+07 3.1934958623452391e+07 3.1927402261186503e+07 3.1919262936512306e+07 3.1912913844192348e+07 3.1909490095868595e+07 3.1907138125612654e+07 3.1903831339259569e+07 3.1898952390408289e+07 3.1892485504701830e+07 3.1884210598483853e+07 3.1873782844431054e+07 3.1860831702631775e+07 3.1844954912307810e+07 3.1825670293873306e+07 3.1802398688457645e+07 3.1774461079277832e+07 3.1741063751615267e+07 3.1701275170788102e+07 3.1654008586432811e+07 3.1597977685966402e+07 3.1531437338298574e+07 3.1451391941420652e+07 3.1354449869566105e+07 3.1238915811541930e+07 3.1103075194428455e+07 3.0944150788701601e+07 3.0758733621784281e+07 3.0542986575431351e+07 3.0292682109911568e+07 3.0003227564500649e+07 2.9669716519507840e+07 2.9287017784912575e+07 2.8849914829246990e+07 2.8353300266642362e+07 2.7792443648067437e+07 2.7163332171681456e+07 2.6463090087743588e+07 2.5690454698805962e+07 2.4780630264918316e+07 2.3792742751504805e+07 2.2735345950105585e+07 2.1621365001256805e+07 2.0467952057849027e+07 1.9295782178495828e+07 1.8127758100131486e+07 1.6987224360189147e+07 1.5895953602610795e+07 1.4872158522751715e+07 1.3929051322144443e+07 1.3074405007551324e+07 1.2310769278350104e+07 1.1635565953696085e+07 1.1042856367511420e+07 1.0524944826605193e+07 1.0073233710251847e+07 9.6793633843989633e+06 9.3355766337326188e+06 9.0353507830780689e+06 8.7728542805441637e+06 8.5435298458755165e+06 8.3432244957746202e+06 8.1689299407364316e+06 8.0177105622553127e+06 7.8871252814779123e+06 7.7752762383032544e+06 7.6801900455981977e+06 7.5999634995238082e+06 7.5331955964189675e+06 7.4781670707176635e+06 7.4335971840094524e+06 7.3980290344747547e+06 7.3701915319480263e+06 7.3483744881784189e+06 7.3309203836522438e+06 7.3165720926173395e+06 7.3041480836072741e+06 7.2925062026969204e+06 7.2842945298382184e+06 7.2760115325625911e+06 7.2675636238566991e+06 7.2587166351279514e+06 7.2495904575542575e+06 7.2399249654680192e+06 7.2300328700818885e+06 7.2190496584821856e+06 7.2072951949499352e+06 7.1945531636972930e+06 7.1806546481448831e+06 7.1653943873718670e+06 7.1485411499036290e+06 7.1297652237863299e+06 7.1090949431030238e+06 7.0857631831410043e+06 7.0596040835225703e+06 7.0302380665642414e+06 6.9972566482574763e+06 6.9602385765568996e+06 6.9187613209592486e+06 6.8723599966692785e+06 6.8210885597536284e+06 6.7640626101207603e+06 6.7014726626450829e+06 6.6334635160221849e+06 6.5605686172137745e+06 6.4836955867736982e+06 6.4045719755645860e+06 6.3257707050482463e+06 6.2514940206241310e+06 6.1870467315442981e+06 6.1407151501145912e+06 6.1240508652746351e+06 6.1538352168166386e+06 6.2544950515416507e+06 6.4630459534143694e+06 6.8380860303126676e+06 7.4783381404529577e+06 1.0236336285291680e+06 +1.3355485161721164e+01 3.1849731001850013e+07 3.1846476560933255e+07 3.1840925583148059e+07 3.1833390811759181e+07 3.1825274263013765e+07 3.1818941930894285e+07 3.1815525593338098e+07 3.1813177205184676e+07 3.1809876109645687e+07 3.1805006606353965e+07 3.1798552781632707e+07 3.1790295019550417e+07 3.1779889296108611e+07 3.1766965910139363e+07 3.1751123497142635e+07 3.1731880964585576e+07 3.1708660456505634e+07 3.1680784478358820e+07 3.1647461094495889e+07 3.1607760868634813e+07 3.1560599505266014e+07 3.1504693615093131e+07 3.1438302085822612e+07 3.1358436218500957e+07 3.1261711984059073e+07 3.1146437923319075e+07 3.1010903698256537e+07 3.0852338772477906e+07 3.0667342381533176e+07 3.0452086768263154e+07 3.0202354892516166e+07 2.9913565752560444e+07 2.9580825724034008e+07 2.9199017454645976e+07 2.8762939094287090e+07 2.8267498463803090e+07 2.7707980346350975e+07 2.7080386498055786e+07 2.6381854100858334e+07 2.5611130574549858e+07 2.4703592307364460e+07 2.3718230693023246e+07 2.2663589020179663e+07 2.1552569795508962e+07 2.0402289258249965e+07 1.9233373513171848e+07 1.8068665364760391e+07 1.6931442448993132e+07 1.5843409087624231e+07 1.4822714783240531e+07 1.3882519513324773e+07 1.3030558271837596e+07 1.2269358385068798e+07 1.1596336667715104e+07 1.1005562272941628e+07 1.0489355512563191e+07 1.0039140279481838e+07 9.6465798637445923e+06 9.3039397273788415e+06 9.0047169756756779e+06 8.7430984169139490e+06 8.5145413562500644e+06 8.3149064110772656e+06 8.1411951784958784e+06 7.9904818365540253e+06 7.8603334868348045e+06 7.7488586209528949e+06 7.6540905171383889e+06 7.5741323899889048e+06 7.5075879379327884e+06 7.4527437080497360e+06 7.4083232248757677e+06 7.3728744680328332e+06 7.3451305670114551e+06 7.3233870390100423e+06 7.3059919117424442e+06 7.2916922182320328e+06 7.2793103616464837e+06 7.2677080326822428e+06 7.2595242756011672e+06 7.2512694421325661e+06 7.2428502603576211e+06 7.2340333565049293e+06 7.2249382134647649e+06 7.2153055946762497e+06 7.2054471242783209e+06 7.1945012621318307e+06 7.1827867706698859e+06 7.1700880696864733e+06 7.1562368169958778e+06 7.1410284496669685e+06 7.1242325225284845e+06 7.1055204494875334e+06 7.0849204450281048e+06 7.0616680255342117e+06 7.0355978807150088e+06 7.0063317236385243e+06 6.9734624593520639e+06 6.9365702682851655e+06 6.8952340567419482e+06 6.8489905253019016e+06 6.7978934241898730e+06 6.7410613920093151e+06 6.6786842823800212e+06 6.6109064016273031e+06 6.5382593827357851e+06 6.4616477598992931e+06 6.3827932094472256e+06 6.3042599077722719e+06 6.2302357899653744e+06 6.1660076550046783e+06 6.1198336251940224e+06 6.1032260122765545e+06 6.1329090830388637e+06 6.2332266226188000e+06 6.4410683454595543e+06 6.8148331025427124e+06 7.4529080164178098e+06 1.0196980697354040e+06 +1.3360453484495423e+01 3.1755922719302874e+07 3.1752677795742668e+07 3.1747142893312812e+07 3.1739629665012911e+07 3.1731535839848734e+07 3.1725220228938106e+07 3.1721811290559482e+07 3.1719466486005142e+07 3.1716171079420697e+07 3.1711311012678996e+07 3.1704870233741175e+07 3.1696629593872216e+07 3.1686245870828856e+07 3.1673350200815704e+07 3.1657542114225134e+07 3.1638341603721511e+07 3.1615172114182092e+07 3.1587357670765426e+07 3.1554108114075176e+07 3.1514496102709584e+07 3.1467439792000007e+07 3.1411658711092412e+07 3.1345415759586778e+07 3.1265729129559707e+07 3.1169222376565307e+07 3.1054207887161233e+07 3.0918979550003354e+07 3.0760773509344000e+07 3.0576197193740230e+07 3.0361432189397335e+07 3.0112271935347874e+07 2.9824147065384045e+07 2.9492176723802861e+07 2.9111257365598686e+07 2.8676201788017891e+07 2.8181932980895016e+07 2.7623750918542787e+07 2.6997671871222854e+07 2.6300845907520190e+07 2.5532030520048447e+07 2.4626773847572211e+07 2.3643932929687094e+07 2.2592040529034276e+07 2.1483976520818148e+07 2.0336821266400516e+07 1.9171151991855595e+07 1.8009751685576875e+07 1.6875831235745776e+07 1.5791026822220670e+07 1.4773424944519995e+07 1.3836133535553012e+07 1.2986849730808422e+07 1.2228078600557156e+07 1.1557232021043507e+07 1.0968386987605361e+07 1.0453879807219030e+07 1.0005155850417970e+07 9.6139012822979800e+06 9.2724041865809131e+06 8.9741813971324340e+06 8.7134380308712348e+06 8.4856459363053255e+06 8.2866792907527238e+06 8.1135495481213201e+06 7.9633406527121626e+06 7.8336278610015335e+06 7.7225259965687525e+06 7.6280749818819640e+06 7.5483844296741486e+06 7.4820627256967667e+06 7.4274022111440757e+06 7.3831306602592329e+06 7.3478009187326767e+06 7.3201503226123806e+06 7.2984800766795520e+06 7.2811437384272078e+06 7.2668924867919795e+06 7.2545526472911490e+06 7.2429897430314599e+06 7.2348338118448760e+06 7.2266070514737982e+06 7.2182165040943641e+06 7.2094295882023182e+06 7.2003653797271335e+06 7.1907655283178613e+06 7.1809405746553065e+06 7.1700319416431049e+06 7.1583572934869081e+06 7.1457017831897773e+06 7.1318976411126023e+06 7.1167410000657523e+06 7.1000021986415088e+06 7.0813537729685921e+06 7.0608238184148371e+06 7.0376504838109817e+06 7.0116690072470866e+06 6.9825023883781061e+06 6.9497449168322803e+06 6.9129782009048341e+06 6.8717825790839363e+06 6.8256963321864903e+06 6.7747730053607840e+06 6.7181342659739237e+06 6.6559693085938245e+06 6.5884219487485513e+06 6.5160220112932343e+06 6.4396709540051725e+06 6.3610845976025779e+06 6.2828184015550381e+06 6.2090460368504710e+06 6.1450363500533188e+06 6.0990193643463189e+06 6.0824682407830292e+06 6.1120503570061289e+06 6.2120267040555794e+06 6.4191615322906915e+06 6.7916550776273245e+06 7.4275598085490800e+06 1.0157772202873933e+06 +1.3365421807269682e+01 3.1662364286232941e+07 3.1659128901271194e+07 3.1653609981791671e+07 3.1646118262387373e+07 3.1638047108602587e+07 3.1631748180020962e+07 3.1628346629321031e+07 3.1626005409832060e+07 3.1622715690346967e+07 3.1617865051048122e+07 3.1611437302720062e+07 3.1603213763079040e+07 3.1592852010146853e+07 3.1579984016271390e+07 3.1564210205108091e+07 3.1545051652854282e+07 3.1521933103016481e+07 3.1494180098032966e+07 3.1461004251864646e+07 3.1421480314530768e+07 3.1374528888206705e+07 3.1318872415548697e+07 3.1252777801129792e+07 3.1173270116201993e+07 3.1076980488709122e+07 3.0962225144755322e+07 3.0827302191417594e+07 3.0669454441218663e+07 3.0485297500442892e+07 3.0271022281067975e+07 3.0022432680884834e+07 2.9734970945862390e+07 2.9403768962090883e+07 2.9023736961690240e+07 2.8589702355212465e+07 2.8096603263814889e+07 2.7539754811918672e+07 2.6915187740351930e+07 2.6220064959333636e+07 2.5453153990014132e+07 2.4550174344555262e+07 2.3569848925988909e+07 2.2520699948086064e+07 2.1415584657147773e+07 2.0271547572628148e+07 1.9109117117048692e+07 1.7951016579079535e+07 1.6820390252604578e+07 1.5738806355589416e+07 1.4724288573638231e+07 1.3789892974150728e+07 1.2943278987924332e+07 1.2186929545820806e+07 1.1518251651299981e+07 1.0931330164458608e+07 1.0418517377539806e+07 9.9712801026425343e+06 9.5813273308858238e+06 9.2409697121963017e+06 8.9437437571609430e+06 8.6838728399159331e+06 8.4568433103920482e+06 8.2585428651308445e+06 8.0859927851831447e+06 7.9362867508240687e+06 7.8070081480044741e+06 7.6962781125289053e+06 7.6021431900689602e+06 7.5227193712429674e+06 7.4566197143788692e+06 7.4021423363433676e+06 7.3580192478532959e+06 7.3228081453594472e+06 7.2952505583859961e+06 7.2736533615071280e+06 7.2563756245856807e+06 7.2421726596400244e+06 7.2298747022737460e+06 7.2183510958662294e+06 7.2102229009499475e+06 7.2020241232404420e+06 7.1936621179927941e+06 7.1849050934416195e+06 7.1758717198505588e+06 7.1663045302176578e+06 7.1565129853551760e+06 7.1456414615227748e+06 7.1340065282964949e+06 7.1213940695190318e+06 7.1076368862612825e+06 7.0925318048257697e+06 7.0758499450526042e+06 7.0572649616555972e+06 7.0368048313614661e+06 7.0137103268316258e+06 6.9878172328275833e+06 6.9587498314522495e+06 6.9261037924507698e+06 6.8894621473747808e+06 6.8484066622880856e+06 6.8024771931384578e+06 6.7517270807492593e+06 6.6952810113682728e+06 6.6333275226744693e+06 6.5660099409984471e+06 6.4938562888767775e+06 6.4177649575882051e+06 6.3394459311096119e+06 6.2614459800511124e+06 6.1879245573459296e+06 6.1241326148657762e+06 6.0782721672613788e+06 6.0617773510153675e+06 6.0912588379777037e+06 6.1908950918260710e+06 6.3973253030804908e+06 6.7685517325042635e+06 7.4022932728979159e+06 1.0118710271873326e+06 +1.3370390130043941e+01 3.1569055252985410e+07 3.1565829233832449e+07 3.1560326287775163e+07 3.1552856047265243e+07 3.1544807511655580e+07 3.1538525226706360e+07 3.1535131052196626e+07 3.1532793419268679e+07 3.1529509384962399e+07 3.1524668164012223e+07 3.1518253430990487e+07 3.1510046969611268e+07 3.1499707156546250e+07 3.1486866798900835e+07 3.1471127212167408e+07 3.1452010554326240e+07 3.1428942865364924e+07 3.1401251202519998e+07 3.1368148950181086e+07 3.1328712946418390e+07 3.1281866236201581e+07 3.1226334170813210e+07 3.1160387652845390e+07 3.1081058620828994e+07 3.0984985762953289e+07 3.0870489138656095e+07 3.0735871065155815e+07 3.0578381010800704e+07 3.0394642744498197e+07 3.0180856486334261e+07 2.9932836572480205e+07 2.9646036837657921e+07 2.9315601883106168e+07 2.8936455687738400e+07 2.8503440241507862e+07 2.8011508759277847e+07 2.7455991474700473e+07 2.6832933555529505e+07 2.6139510708796721e+07 2.5374500440086272e+07 2.4473793258284602e+07 2.3495978147429351e+07 2.2449566749762561e+07 2.1347393685538102e+07 2.0206467668278098e+07 1.9047268392304879e+07 1.7892459562862199e+07 1.6765119032826779e+07 1.5686747237907100e+07 1.4675305238663400e+07 1.3743797415419184e+07 1.2899845647603083e+07 1.2145910842788693e+07 1.1479395196929136e+07 1.0894391457304079e+07 1.0383267891313633e+07 9.9375127165353876e+06 9.5488577011766825e+06 9.2096360058589913e+06 8.9134037662137430e+06 8.6544025622775592e+06 8.4281332035575062e+06 8.2304968652608665e+06 8.0585246259291731e+06 7.9093198716714447e+06 7.7804740925318822e+06 7.6701147168789404e+06 7.5762948925906969e+06 7.4971369679881623e+06 7.4312586592809595e+06 7.3769638406183552e+06 7.3329887459875951e+06 7.2978959073225018e+06 7.2704310346194468e+06 7.2489066544499854e+06 7.2316873317157589e+06 7.2175324987278376e+06 7.2052762889605463e+06 7.1937918539121682e+06 7.1856913059237888e+06 7.1775204206980756e+06 7.1691868656064831e+06 7.1604596360561708e+06 7.1514569979713243e+06 7.1419223648290476e+06 7.1321641211558469e+06 7.1213295869038962e+06 7.1097342406023787e+06 7.0971646945951562e+06 7.0834543188133985e+06 7.0684006308224909e+06 7.0517755291842483e+06 7.0332537835741248e+06 7.0128632525701663e+06 6.9898473240604391e+06 6.9640423277696483e+06 6.9350738241281128e+06 6.9025388585453490e+06 6.8660218812373299e+06 6.8251060812492548e+06 6.7793328845646605e+06 6.7287554284371566e+06 6.6725014081242858e+06 6.6107587065936159e+06 6.5436701625512121e+06 6.4717620020345161e+06 6.3959295596948778e+06 6.3178770015861969e+06 6.2401424374479586e+06 6.1668711480593598e+06 6.1032962481470481e+06 6.0575918341511898e+06 6.0411531437384142e+06 6.0705343257336272e+06 6.1698315824381588e+06 6.3755594475543760e+06 6.7455228446976012e+06 7.3771081661531972e+06 1.0079794376190471e+06 +1.3375358452818199e+01 3.1475994973173562e+07 3.1472778282894243e+07 3.1467291272883590e+07 3.1459842464393493e+07 3.1451816492072962e+07 3.1445550812295962e+07 3.1442164002537664e+07 3.1439829957672175e+07 3.1436551606555954e+07 3.1431719794800840e+07 3.1425318061881542e+07 3.1417128656705584e+07 3.1406810753177825e+07 3.1393997991831198e+07 3.1378292578597415e+07 3.1359217751298651e+07 3.1336200844352338e+07 3.1308570427314311e+07 3.1275541652152088e+07 3.1236193441531565e+07 3.1189451279100891e+07 3.1134043420017630e+07 3.1068244757917296e+07 3.0989094086651471e+07 3.0893237642560352e+07 3.0778999312150497e+07 3.0644685614603136e+07 3.0487552661650479e+07 3.0304232369649608e+07 3.0090934249116547e+07 2.9843483054327618e+07 2.9557344185345061e+07 2.9227674931872308e+07 2.8849412989420220e+07 2.8417414893430028e+07 2.7926648914940234e+07 2.7372460355948523e+07 2.6750908767719381e+07 2.6059182609347679e+07 2.5296069326845985e+07 2.4397630049699895e+07 2.3422320060486041e+07 2.2378640407542299e+07 2.1279403088008896e+07 2.0141581045751076e+07 1.8985605322229944e+07 1.7834080155525297e+07 1.6710017110659009e+07 1.5634849020428831e+07 1.4626474508659188e+07 1.3697846446669349e+07 1.2856549315256797e+07 1.2105022114351932e+07 1.1440662297333965e+07 1.0857570520822447e+07 1.0348131017162479e+07 9.9038533733023871e+06 9.5164920855772905e+06 9.1784027699598186e+06 8.8831611354912482e+06 8.6250269169144258e+06 8.3995153415852059e+06 8.2025410228810282e+06 8.0311448072983492e+06 7.8824397567030415e+06 7.7540254399407962e+06 7.6440355583102824e+06 7.5505298410035707e+06 7.4716369738673335e+06 7.4059793163601700e+06 7.3518664815789284e+06 7.3080389136130605e+06 7.2730639646683633e+06 7.2456915121948561e+06 7.2242397170811566e+06 7.2070786219434999e+06 7.1929717666457091e+06 7.1807571703325361e+06 7.1693117805426503e+06 7.1612387903882898e+06 7.1530957077527558e+06 7.1447905110973623e+06 7.1360929804994725e+06 7.1271209788407320e+06 7.1176187972164620e+06 7.1078937474402292e+06 7.0970960835200008e+06 7.0855401965320418e+06 7.0730134249594789e+06 7.0593497057628380e+06 7.0443472455407446e+06 7.0277787190702064e+06 7.0093200073670959e+06 6.9889988513574582e+06 6.9660612455644105e+06 6.9403440629957467e+06 6.9114741382790124e+06 6.8790498880545031e+06 6.8426571766357105e+06 6.8018806114628175e+06 6.7562631834613318e+06 6.7058578270818265e+06 6.6497952367398487e+06 6.5882626428865464e+06 6.5214023981551994e+06 6.4497389378738115e+06 6.3741645499404157e+06 6.2963776012110291e+06 6.2189075684750481e+06 6.1458856061240342e+06 6.0825270491285501e+06 6.0369781657472253e+06 6.0205954202164924e+06 6.0498766205846006e+06 6.1488359729349194e+06 6.3538637559840726e+06 6.7225681923099291e+06 7.3520042456457056e+06 1.0041023989474137e+06 +1.3380326775592458e+01 3.1383182855062846e+07 3.1379975538928483e+07 3.1374504398775857e+07 3.1367076959199585e+07 3.1359073493728064e+07 3.1352824380915463e+07 3.1349444924540583e+07 3.1347114469212700e+07 3.1343841799288411e+07 3.1339019387562748e+07 3.1332630639415894e+07 3.1324458268392563e+07 3.1314162244076118e+07 3.1301377039104760e+07 3.1285705748301517e+07 3.1266672687689535e+07 3.1243706483904667e+07 3.1216137216347855e+07 3.1183181801722758e+07 3.1143921243761830e+07 3.1097283460895434e+07 3.1041999607135516e+07 3.0976348560283773e+07 3.0897375957682762e+07 3.0801735571608618e+07 3.0687755109419517e+07 3.0553745284009647e+07 3.0396968838093262e+07 3.0214065820363980e+07 3.0001255014160775e+07 2.9754371571432572e+07 2.9468892434300832e+07 2.9139987554293551e+07 2.8762608313290603e+07 2.8331625758370418e+07 2.7842023179327864e+07 2.7289160905672729e+07 2.6669112828842521e+07 2.5979080115388516e+07 2.5217860107886057e+07 2.4321684180730093e+07 2.3348874132642176e+07 2.2307920395860191e+07 2.1211612347579587e+07 2.0076887198463097e+07 1.8924127412452031e+07 1.7775877876745857e+07 1.6655084021427369e+07 1.5583111255402679e+07 1.4577795953711715e+07 1.3652039656175353e+07 1.2813389597219396e+07 1.2064262984309226e+07 1.1402052592801174e+07 1.0820867010583850e+07 1.0313106424576813e+07 9.8703017549745273e+06 9.4842301773186028e+06 9.1472697076641805e+06 8.8530155769486353e+06 8.5957456235186979e+06 8.3709894509421345e+06 8.1746750704220422e+06 8.0038530669134855e+06 7.8556461480512517e+06 7.7276619362542555e+06 7.6180403861867068e+06 7.5248477874819860e+06 7.4462191434621029e+06 7.3807814422119167e+06 7.3268500174682355e+06 7.2831695103287781e+06 7.2483120780659961e+06 7.2210317526483350e+06 7.1996523116088528e+06 7.1825492580267489e+06 7.1684902265929403e+06 7.1563171099915616e+06 7.1449106397309434e+06 7.1368651185956132e+06 7.1287497489062836e+06 7.1204728192552477e+06 7.1118048918495495e+06 7.1028634278266765e+06 7.0933935930526992e+06 7.0837016302077221e+06 7.0729407177313659e+06 7.0614241628239518e+06 7.0489400277575562e+06 7.0353228147027101e+06 7.0203714170697648e+06 7.0038592833449356e+06 6.9854634022862045e+06 6.9652113976288568e+06 6.9423518620112035e+06 6.9167222100200979e+06 6.8879505463676406e+06 6.8556366545128953e+06 6.8193678083063178e+06 6.7787300289985398e+06 6.7332678674040735e+06 6.6830340559071703e+06 6.6271622783073159e+06 6.5658391146586621e+06 6.4992064331136486e+06 6.4277868840666274e+06 6.3524697184721865e+06 6.2749475227034763e+06 6.1977411683986122e+06 6.1249677292183656e+06 6.0618248175610686e+06 6.0164309633059939e+06 6.0001039822514914e+06 6.0292855233645625e+06 6.1279080608896613e+06 6.3322380191972293e+06 6.6996875540235415e+06 7.3269812693408933e+06 1.0002398587177792e+06 +1.3385295098366717e+01 3.1290618376107268e+07 3.1287420444804996e+07 3.1281965102667443e+07 3.1274558977123633e+07 3.1266577961187616e+07 3.1260345377504598e+07 3.1256973263163555e+07 3.1254646398850761e+07 3.1251379408044357e+07 3.1246566387133472e+07 3.1240190608445644e+07 3.1232035249474924e+07 3.1221761074027572e+07 3.1209003385462780e+07 3.1193366166086454e+07 3.1174374808264010e+07 3.1151459228793822e+07 3.1123951014390446e+07 3.1091068843586788e+07 3.1051895797872741e+07 3.1005362226298489e+07 3.0950202176887631e+07 3.0884698504761580e+07 3.0805903678759731e+07 3.0710478994980633e+07 3.0596755975414377e+07 3.0463049518436816e+07 3.0306628985350527e+07 3.0124142542015716e+07 2.9911818226998642e+07 2.9665501569650926e+07 2.9380681030774824e+07 2.9052539197086532e+07 2.8676041106727198e+07 2.8246072284619924e+07 2.7757631001830179e+07 2.7206092574759588e+07 2.6587545191728137e+07 2.5899202682216544e+07 2.5139872241670102e+07 2.4245955114226215e+07 2.3275639832357325e+07 2.2237406190145634e+07 2.1144020948352970e+07 2.0012385620867621e+07 1.8862834169660985e+07 1.7717852247213494e+07 1.6600319301457012e+07 1.5531533496114928e+07 1.4529269144922687e+07 1.3606376633219464e+07 1.2770366100812986e+07 1.2023633077390470e+07 1.1363565724521173e+07 1.0784280583005596e+07 1.0278193783880336e+07 9.8368575443774555e+06 9.4520716704194732e+06 9.1162365229045991e+06 8.8229668032678869e+06 8.5665584025011156e+06 8.3425552588301525e+06 8.1468987410128126e+06 7.9766491430734126e+06 7.8289387885152400e+06 7.7013833281503078e+06 7.5921289505183753e+06 7.4992484848818975e+06 7.4208832320093121e+06 7.3556647940565879e+06 7.3019142071590712e+06 7.2583802963526258e+06 7.2236400088200364e+06 7.1964515181300091e+06 7.1751442008501152e+06 7.1580990033268919e+06 7.1440876424036939e+06 7.1319558721664911e+06 7.1205881960736588e+06 7.1125700553958034e+06 7.1044823092966406e+06 7.0962335554892113e+06 7.0875951357900100e+06 7.0786841109124385e+06 7.0692465186433988e+06 7.0595875360738896e+06 7.0488632565129874e+06 7.0373859068242246e+06 7.0249442707546046e+06 7.0113734138500849e+06 6.9964729141181102e+06 6.9800169912559651e+06 6.9616837381727640e+06 6.9415006619079327e+06 6.9187189446773231e+06 6.8931765409555491e+06 6.8645028214594740e+06 6.8322989320498910e+06 6.7961535515654590e+06 6.7556541105221473e+06 6.7103467145493068e+06 6.6602838947477173e+06 6.6046023144757105e+06 6.5434879055871014e+06 6.4770820533047384e+06 6.4059056288421210e+06 6.3308448559996961e+06 6.2535865593181262e+06 6.1766430330218626e+06 6.1041173155425098e+06 6.0411893537332220e+06 5.9959500286078900e+06 5.9796786321542682e+06 6.0087608354260186e+06 6.1070476444060002e+06 6.3106820285597127e+06 6.6768807091153078e+06 7.3020389958306430e+06 9.9639176465539029e+05 +1.3390263421140975e+01 3.1198301123719823e+07 3.1195112394352876e+07 3.1189672821995970e+07 3.1182287963225272e+07 3.1174329339742944e+07 3.1168113247777898e+07 3.1164748464158256e+07 3.1162425192343485e+07 3.1159163878513973e+07 3.1154360239202388e+07 3.1147997414602719e+07 3.1139859045594603e+07 3.1129606688624796e+07 3.1116876476515863e+07 3.1101273277476206e+07 3.1082323558573727e+07 3.1059458524503920e+07 3.1032011266920548e+07 3.0999202223315313e+07 3.0960116549377408e+07 3.0913687020829111e+07 3.0858650574857846e+07 3.0793294036926504e+07 3.0714676695518110e+07 3.0619467358399246e+07 3.0506001355891537e+07 3.0372597763757687e+07 3.0216532549400914e+07 3.0034461980786525e+07 2.9822623334075257e+07 2.9576872495689444e+07 2.9292709421863716e+07 2.8965329307890948e+07 2.8589710818034086e+07 2.8160753921308171e+07 2.7673471832767189e+07 2.7123254815041978e+07 2.6506205310118623e+07 2.5819549766100787e+07 2.5062105187651746e+07 2.4170442314054538e+07 2.3202616629062343e+07 2.2167097266886711e+07 2.1076628375389006e+07 1.9948075808444861e+07 1.8801725101554129e+07 1.7660002788665902e+07 1.6545722488115268e+07 1.5480115296856146e+07 1.4480893654386519e+07 1.3560856968052521e+07 1.2727478434299750e+07 1.1983132019255595e+07 1.1325201334571863e+07 1.0747810895383466e+07 1.0243392766220002e+07 9.8035204251580331e+06 9.4200162596563939e+06 9.0853029203712698e+06 8.7930145278936978e+06 8.5374649749979470e+06 8.3142124931497090e+06 8.1192117684790818e+06 7.9495327747756951e+06 7.8023174215615755e+06 7.6751893629739527e+06 7.5663010019611437e+06 7.4737316866811262e+06 7.3956289953831835e+06 7.3306291297577107e+06 7.2770588101743441e+06 7.2336710325293532e+06 7.1990475188584765e+06 7.1719505714193014e+06 7.1507151482627131e+06 7.1337276218490554e+06 7.1197637785256095e+06 7.1076732217027219e+06 7.0963442147930553e+06 7.0883533662834968e+06 7.0802931546690734e+06 7.0720724858063757e+06 7.0634634786285646e+06 7.0545827946965639e+06 7.0451773409001241e+06 7.0355512322645634e+06 7.0248634674400818e+06 7.0134251964941146e+06 7.0010259223157819e+06 6.9875012720150845e+06 6.9726515059863171e+06 6.9562516126516415e+06 6.9379807854933357e+06 6.9178664153178642e+06 6.8951622654270539e+06 6.8697068285189057e+06 6.8411307372177215e+06 6.8090364953896739e+06 6.7730141823303569e+06 6.7326526332734898e+06 6.6874995036460534e+06 6.6376071239797156e+06 6.5821151274792999e+06 6.5212087999183349e+06 6.4550290451560151e+06 6.3840949609709438e+06 6.3092897537751729e+06 6.2322945048614880e+06 6.1556129586905343e+06 6.0833341638204064e+06 6.0206204584456617e+06 5.9755351639460241e+06 5.9593191727654692e+06 5.9883023586485470e+06 6.0862545221214527e+06 6.2891955760008572e+06 6.6541474374197721e+06 7.2771771843536757e+06 9.9255806466482102e+05 +1.3395231743915234e+01 3.1106230337422542e+07 3.1103050783992350e+07 3.1097627018056270e+07 3.1090263362551637e+07 3.1082327075548295e+07 3.1076127438315082e+07 3.1072769974098027e+07 3.1070450296252917e+07 3.1067194657241408e+07 3.1062400390250120e+07 3.1056050504384790e+07 3.1047929103151202e+07 3.1037698534279212e+07 3.1024995758585729e+07 3.1009426528863281e+07 3.0990518384942383e+07 3.0967703817406312e+07 3.0940317420312256e+07 3.0907581387208056e+07 3.0868582944615681e+07 3.0822257290843103e+07 3.0767344247431409e+07 3.0702134603206348e+07 3.0623694454409394e+07 3.0528700108323995e+07 3.0415490697469652e+07 3.0282389466647394e+07 3.0126678977080658e+07 2.9945023583665479e+07 2.9733669782593500e+07 2.9488483797096442e+07 2.9204977055481214e+07 2.8878357335128590e+07 2.8503616896301024e+07 2.8075670118505970e+07 2.7589545123336542e+07 2.7040647079187986e+07 2.6425092638687849e+07 2.5740120824209310e+07 2.4984558406275742e+07 2.4095145245016884e+07 2.3129803993192852e+07 2.2096993103556734e+07 2.1009434114823375e+07 1.9883957257697999e+07 1.8740799716894165e+07 1.7602329023888700e+07 1.6491293119844647e+07 1.5428856212971788e+07 1.4432669055187749e+07 1.3515480251908982e+07 1.2684726206895532e+07 1.1942759436499998e+07 1.1286959065932592e+07 1.0711457605872529e+07 1.0208703043597411e+07 9.7702900817605313e+06 9.3880636406129487e+06 9.0544686055191886e+06 8.7631584649988897e+06 8.5084650628796704e+06 8.2859608825004008e+06 8.0916138873338290e+06 7.9225037016807729e+06 7.7757817913360056e+06 7.6490797887346651e+06 7.5405562918353546e+06 7.4482971470197728e+06 7.3704561900950205e+06 7.3056742078140024e+06 7.2522835866435515e+06 7.2090414803420333e+06 7.1745343707230054e+06 7.1475286759099206e+06 7.1263649179081852e+06 7.1094348782068389e+06 7.0955184000216126e+06 7.0834689240502762e+06 7.0721784617148442e+06 7.0642148173492756e+06 7.0561820513864467e+06 7.0479893768472224e+06 7.0394096872792356e+06 7.0305592463911986e+06 7.0211858273370173e+06 7.0115924866230190e+06 7.0009411187072806e+06 6.9895418004017398e+06 6.9771847514237259e+06 6.9637061586227240e+06 6.9489069625905631e+06 6.9325629179902412e+06 6.9143543152994979e+06 6.8943084295713371e+06 6.8716815967355790e+06 6.8463128460209938e+06 6.8178340678926716e+06 6.7858491198433684e+06 6.7499494771084692e+06 6.7097253750967095e+06 6.6647260140149305e+06 6.6150035245841313e+06 6.5597005001118751e+06 6.4990015824614381e+06 6.4330471956715835e+06 6.3623546697960300e+06 6.2878042036078610e+06 6.2110711536817988e+06 6.1346507422769777e+06 6.0626180733226128e+06 6.0001179330275320e+06 5.9551861721423967e+06 5.9390254074298963e+06 5.9679098954189373e+06 6.0655284931980111e+06 6.2677784539864017e+06 6.6314875193689140e+06 7.2523955947732059e+06 9.8873870682939340e+05 +1.3400200066689493e+01 3.1014405515448585e+07 3.1011235129416972e+07 3.1005827153444495e+07 3.0998484621110633e+07 3.0990570615627680e+07 3.0984387396484885e+07 3.0981037240383502e+07 3.0978721157940537e+07 3.0975471191508058e+07 3.0970686287536733e+07 3.0964349324959226e+07 3.0956244869384184e+07 3.0946036058165506e+07 3.0933360678861752e+07 3.0917825367365748e+07 3.0898958734514296e+07 3.0876194554617405e+07 3.0848868921651635e+07 3.0816205782396298e+07 3.0777294430727966e+07 3.0731072483544808e+07 3.0676282641760170e+07 3.0611219650783878e+07 3.0532956402683370e+07 3.0438176692146983e+07 3.0325223447531678e+07 3.0192424074636806e+07 3.0037067716031265e+07 2.9855826798496157e+07 2.9644957020638909e+07 2.9400334922223575e+07 2.9117483380448703e+07 2.8791622728138670e+07 2.8417758791602451e+07 2.7990820327086035e+07 2.7505850325629443e+07 2.6958268820835430e+07 2.6344206632996399e+07 2.5660915314662963e+07 2.4907231358833976e+07 2.4020063372937940e+07 2.3057201396167979e+07 2.2027093178600695e+07 2.0942437653756544e+07 1.9820029466202360e+07 1.8680057525484670e+07 1.7544830476700172e+07 1.6437030736059787e+07 1.5377755800806183e+07 1.4384594921459630e+07 1.3470246077021819e+07 1.2642109028779194e+07 1.1902514956636494e+07 1.1248838562483827e+07 1.0675220373511583e+07 1.0174124288831705e+07 9.7371661994637419e+06 9.3562135096572805e+06 9.0237332845630143e+06 8.7333983294955324e+06 8.4795583887219429e+06 8.2578001562094502e+06 8.0641048327937815e+06 7.8955616641387641e+06 7.7493316426475253e+06 7.6230543540936867e+06 7.5148945721118748e+06 7.4229446206696844e+06 7.3453645733010080e+06 7.2807997873589639e+06 7.2275882973426078e+06 7.1844914018927878e+06 7.1501003275931804e+06 7.1231855956207616e+06 7.1020932744842600e+06 7.0852205376288882e+06 7.0713512725771656e+06 7.0593427452946259e+06 7.0480907032928960e+06 7.0401541753051160e+06 7.0321487664199760e+06 7.0239839958639331e+06 7.0154335292790867e+06 7.0066132338157389e+06 6.9972717460844582e+06 6.9877110675922167e+06 6.9770959791079201e+06 6.9657354877202353e+06 6.9534205276562758e+06 6.9399878437051466e+06 6.9252390544485068e+06 6.9089506783310752e+06 6.8908040992561290e+06 6.8708264770040028e+06 6.8482767116751894e+06 6.8229943673749603e+06 6.7946125883328244e+06 6.7627365813124590e+06 6.7269592129815696e+06 6.6868721144036595e+06 6.6420260255619697e+06 6.5924728780977502e+06 6.5373582157500619e+06 6.4768660385940820e+06 6.4111362923950534e+06 6.3406845452022441e+06 6.2663879978426965e+06 6.1899163006536271e+06 6.1137561811865708e+06 6.0419688438301980e+06 5.9796815793372337e+06 5.9349028565292889e+06 5.9187971400254834e+06 5.9475832486618096e+06 6.0448693573290650e+06 6.2464304555193316e+06 6.6089007359606661e+06 7.2276939875837089e+06 9.8493363941061776e+05 +1.3405168389463752e+01 3.0922826026934098e+07 3.0919664998189125e+07 3.0914272671742849e+07 3.0906951186854776e+07 3.0899059407930449e+07 3.0892892570520919e+07 3.0889549711170439e+07 3.0887237225549310e+07 3.0883992929423511e+07 3.0879217379168127e+07 3.0872893324434943e+07 3.0864805792293645e+07 3.0854618708280794e+07 3.0841970685343146e+07 3.0826469240949925e+07 3.0807644055252045e+07 3.0784930184079774e+07 3.0757665218910303e+07 3.0725074856835134e+07 3.0686250455669794e+07 3.0640132046838515e+07 3.0585465205857635e+07 3.0520548627685361e+07 3.0442461988434169e+07 3.0347896557956818e+07 3.0235199054314837e+07 3.0102701036043040e+07 2.9947698214743305e+07 2.9766871073944815e+07 2.9556484497124568e+07 2.9312425320336759e+07 2.9030227846390873e+07 2.8705124937087391e+07 2.8332135954781409e+07 2.7906203998873025e+07 2.7422386892602216e+07 2.6876119494478479e+07 2.6263546749586485e+07 2.5581932696535446e+07 2.4830123507672485e+07 2.3945196164523184e+07 2.2984808310417946e+07 2.1957396971474335e+07 2.0875638480350211e+07 1.9756291932475906e+07 1.8619498038118910e+07 1.7487506671943251e+07 1.6382934877241798e+07 1.5326813617734602e+07 1.4336670828301447e+07 1.3425154036570769e+07 1.2599626511075599e+07 1.1862398208093353e+07 1.1210839468995810e+07 1.0639098858166460e+07 1.0139656175591627e+07 9.7041484643250071e+06 9.3244655639253128e+06 8.9930966644771863e+06 8.7037338370488230e+06 8.4507446758371890e+06 8.2297300442791907e+06 8.0366843407576568e+06 7.8687064031750243e+06 7.7229667209683666e+06 7.5971128083769027e+06 7.4893155954097519e+06 7.3976738630560590e+06 7.3203539027873650e+06 7.2560056281557148e+06 7.2029727036657073e+06 7.1600205599069595e+06 7.1257451532727983e+06 7.0989210951955467e+06 7.0778999832961718e+06 7.0610843659620788e+06 7.0472621624938473e+06 7.0352944521291871e+06 7.0240807065856690e+06 7.0161712074747328e+06 7.0081930673675472e+06 7.0000561107011279e+06 6.9915347727651028e+06 6.9827445254039625e+06 6.9734348658913653e+06 6.9639067442314597e+06 6.9533278180543818e+06 6.9420060282433704e+06 6.9297330212084455e+06 6.9163460978960712e+06 6.9016475526869884e+06 6.8854146653301204e+06 6.8673299096169183e+06 6.8474203305247482e+06 6.8249473839057833e+06 6.7997511670672297e+06 6.7714660739768464e+06 6.7396986562907593e+06 6.7040431676269304e+06 6.6640926301989816e+06 6.6193993187669823e+06 6.5700149666446801e+06 6.5150880583348954e+06 6.4548019542544466e+06 6.3892961234440738e+06 6.3190843776302505e+06 6.2450409293836011e+06 6.1688297412118921e+06 6.0929290733670518e+06 6.0213862756605418e+06 5.9593111997415116e+06 5.9146850209569363e+06 5.8986341749285487e+06 5.9273222218076410e+06 6.0242769147297069e+06 6.2251513741678456e+06 6.5863868687780984e+06 7.2030721239116956e+06 9.8114281084761757e+05 +1.3410136712238010e+01 3.0831491432984088e+07 3.0828339668797258e+07 3.0822963011777524e+07 3.0815662509868164e+07 3.0807792901368096e+07 3.0801642409447469e+07 3.0798306835443724e+07 3.0795997948015358e+07 3.0792759319884442e+07 3.0787993113969393e+07 3.0781681951654807e+07 3.0773611320711751e+07 3.0763445933419507e+07 3.0750825226773154e+07 3.0735357598390594e+07 3.0716573795890145e+07 3.0693910154514823e+07 3.0666705760800600e+07 3.0634188059246499e+07 3.0595450468147483e+07 3.0549435429518450e+07 3.0494891388488762e+07 3.0430120982746981e+07 3.0352210660517797e+07 3.0257859154730417e+07 3.0145416966864798e+07 3.0013219800064992e+07 2.9858569922511999e+07 2.9678155859498378e+07 2.9468251661802955e+07 2.9224754441477891e+07 2.8943209903776236e+07 2.8618863413011104e+07 2.8246747837580126e+07 2.7821820586479560e+07 2.7339154278133113e+07 2.6794198555559244e+07 2.6183112445828706e+07 2.5503172429776762e+07 2.4753234316018030e+07 2.3870543087521043e+07 2.2912624209325098e+07 2.1887903962695587e+07 2.0809036083748803e+07 1.9692744156173091e+07 1.8559120766675469e+07 1.7430357135512702e+07 1.6329005084905170e+07 1.5276029222132884e+07 1.4288896351826778e+07 1.3380203724745851e+07 1.2557278265885264e+07 1.1822408820243418e+07 1.1172961431124050e+07 1.0603092720595637e+07 1.0105298378369188e+07 9.6712365632247999e+06 9.2928195013451222e+06 8.9625584529827535e+06 8.6741647040478028e+06 8.4220236482405718e+06 8.2017502774376916e+06 8.0093521478131209e+06 7.8419376604935648e+06 7.6966867724428382e+06 7.5712549015619466e+06 7.4638191149919815e+06 7.3724846302472772e+06 7.2954239369837455e+06 7.2312914906048412e+06 7.1784365676446054e+06 7.1356287177437972e+06 7.1014686121690357e+06 7.0747349398955256e+06 7.0537848102662060e+06 7.0370261296788370e+06 7.0232508366793143e+06 7.0113238118583271e+06 7.0001482392741395e+06 6.9922656817943538e+06 6.9843147224241570e+06 6.9762054898428321e+06 6.9677131864852998e+06 6.9589528902004976e+06 6.9496749561060164e+06 6.9401792862054696e+06 6.9296364055630183e+06 6.9183531923468746e+06 6.9061220028781248e+06 6.8927806924380120e+06 6.8781322290315125e+06 6.8619546512563694e+06 6.8439315192511827e+06 6.8240897636566879e+06 6.8016933876910647e+06 6.7765830202063816e+06 6.7483943008571602e+06 6.7167351218653023e+06 6.6812011193052940e+06 6.6413867020612136e+06 6.5968456746933218e+06 6.5476295729174782e+06 6.4928898123743366e+06 6.4328091159480177e+06 6.3675264774936521e+06 6.2975539580774717e+06 6.2237627916685166e+06 6.1478112713100882e+06 6.0721692172865532e+06 6.0008701696494911e+06 5.9390065971352467e+06 5.8945324698009035e+06 5.8785363170446437e+06 5.9071266188017698e+06 6.0037509661487322e+06 6.2039410040257415e+06 6.5639456999667743e+06 7.1785297655132497e+06 9.7736616975656257e+05 +1.3415105035012269e+01 3.0740401426897347e+07 3.0737258633279469e+07 3.0731897614228934e+07 3.0724618041513380e+07 3.0716770545822851e+07 3.0710636363096412e+07 3.0707308063009631e+07 3.0705002775116753e+07 3.0701769812597636e+07 3.0697012941649117e+07 3.0690714656247225e+07 3.0682660904232182e+07 3.0672517183181617e+07 3.0659923752752163e+07 3.0644489889231510e+07 3.0625747405965555e+07 3.0603133915498883e+07 3.0575989996879015e+07 3.0543544839204736e+07 3.0504893917780384e+07 3.0458982081156578e+07 3.0404560639263391e+07 3.0339936165608007e+07 3.0262201868632261e+07 3.0168063932215121e+07 3.0055876635062113e+07 2.9923979816620968e+07 2.9769682289485734e+07 2.9589680605509177e+07 2.9380257965240050e+07 2.9137321736562625e+07 2.8856429003953055e+07 2.8532837607802890e+07 2.8161593892607838e+07 2.7737669543489829e+07 2.7256151936992563e+07 2.6712505460376188e+07 2.6102903180098779e+07 2.5424633975323148e+07 2.4676563248110786e+07 2.3796103610655140e+07 2.2840648567244910e+07 2.1818613633718032e+07 2.0742629954131816e+07 1.9629385637883309e+07 1.8498925224045761e+07 1.7373381394326698e+07 1.6275240901569812e+07 1.5225402173428738e+07 1.4241271069137799e+07 1.3335394736690590e+07 1.2515063906218372e+07 1.1782546423356175e+07 1.1135204095411710e+07 1.0567201622413404e+07 1.0071050572496237e+07 9.6384301838355064e+06 9.2612750206232592e+06 8.9321183585821241e+06 8.6446906476208381e+06 8.3933950306813866e+06 8.1738605871066777e+06 7.9821079912335332e+06 7.8152551784637161e+06 7.6704915438763248e+06 7.5454803842829512e+06 7.4384048847755976e+06 7.3473766789318854e+06 7.2705744349413104e+06 7.2066571357321525e+06 7.1539796519255713e+06 7.1113156393726729e+06 7.0772704693295769e+06 7.0506268955912571e+06 7.0297475219372455e+06 7.0130455958534926e+06 6.9993170626702048e+06 6.9874305923987245e+06 6.9762930696417727e+06 6.9684373668125840e+06 6.9605135004010098e+06 6.9524319023661027e+06 6.9439685398070253e+06 6.9352380978571093e+06 6.9259917866882794e+06 6.9165284637903199e+06 6.9060215122559657e+06 6.8947767510387059e+06 6.8825872440590812e+06 6.8692913991664983e+06 6.8546928558024671e+06 6.8385704089644169e+06 6.8206087016093684e+06 6.8008345505132880e+06 6.7785144978877585e+06 6.7534897024724744e+06 6.7253970455935132e+06 6.6938457556966972e+06 6.6584328468623366e+06 6.6187541101501808e+06 6.5743648749770867e+06 6.5253164801850086e+06 6.4707632629493503e+06 6.4108873107438171e+06 6.3458271437648879e+06 6.2760930780877145e+06 6.2025533786803652e+06 6.1268606874565519e+06 6.0514764119550521e+06 5.9804203271604348e+06 5.9187675749262385e+06 5.8744450079374481e+06 5.8585033717836328e+06 5.8869962441227911e+06 5.9832913128518388e+06 6.1827991397375362e+06 6.5415770122545855e+06 7.1540666747672781e+06 9.7360366493010777e+05 +1.3420073357786528e+01 3.0649554975518778e+07 3.0646421372273542e+07 3.0641075919298116e+07 3.0633817233365055e+07 3.0625991792013198e+07 3.0619873882121522e+07 3.0616552844439708e+07 3.0614251157415472e+07 3.0611023858079333e+07 3.0606276312658384e+07 3.0599990888642196e+07 3.0591953993298352e+07 3.0581831907969080e+07 3.0569265713628259e+07 3.0553865563843742e+07 3.0535164335850790e+07 3.0512600917346787e+07 3.0485517377498884e+07 3.0453144647012621e+07 3.0414580254916675e+07 3.0368771452143759e+07 3.0314472408589169e+07 3.0249993626718134e+07 3.0172435063331109e+07 3.0078510341030519e+07 2.9966577509538386e+07 2.9834980536581226e+07 2.9681034766618233e+07 2.9501444763109677e+07 2.9292502858847313e+07 2.9050126657362204e+07 2.8769884599112425e+07 2.8447046974224947e+07 2.8076673573380925e+07 2.7653750324355301e+07 2.7173379324818660e+07 2.6631039666201752e+07 2.6022918411651686e+07 2.5346316795039158e+07 2.4600109769085247e+07 2.3721877203543000e+07 2.2768880859573420e+07 2.1749525467006635e+07 2.0676419582684040e+07 1.9566215879282981e+07 1.8438910924148761e+07 1.7316578976352431e+07 1.6221641870810999e+07 1.5174932032021068e+07 1.4193794558355359e+07 1.3290726668549689e+07 1.2472983046062237e+07 1.1742810648630964e+07 1.1097567109316656e+07 1.0531425226080235e+07 1.0036912434128415e+07 9.6057290146336947e+06 9.2298318212346509e+06 8.9017760905011669e+06 8.6153113856287226e+06 8.3648585486008506e+06 8.1460607054181620e+06 7.9549516089820554e+06 7.7886587001443105e+06 7.6443807827460961e+06 7.5197890078268293e+06 7.4130726593099209e+06 7.3223497664656928e+06 7.2458051563654561e+06 7.1821023251832156e+06 7.1296017197884358e+06 7.0870810893938029e+06 7.0531504904075637e+06 7.0265967287868420e+06 7.0057878854702190e+06 6.9891425321816197e+06 6.9754606085985396e+06 6.9636145622819159e+06 6.9525149665881684e+06 6.9446860316885924e+06 6.9367891707191644e+06 6.9287351179451570e+06 6.9203006026937664e+06 6.9115999186236560e+06 6.9023851281945733e+06 6.8929540478559742e+06 6.8824829093531100e+06 6.8712764759036861e+06 6.8591285167579595e+06 6.8458779905249886e+06 6.8313292059272397e+06 6.8152617119164644e+06 6.7973612307499237e+06 6.7776544658015640e+06 6.7554104899438675e+06 6.7304709901445322e+06 6.7024740853898833e+06 6.6710303360413034e+06 6.6357381297242222e+06 6.5961946352152387e+06 6.5519567018252052e+06 6.5030754722749991e+06 6.4487081957029412e+06 6.3890363262625085e+06 6.3241979120398546e+06 6.2547015297513641e+06 6.1814124849513154e+06 6.1059777866840567e+06 6.0308504569001021e+06 5.9600365500821099e+06 5.8985939370497428e+06 5.8544224407682084e+06 5.8385351450761268e+06 5.8669309027407579e+06 5.9628977566293664e+06 6.1617255764852362e+06 6.5192805889388034e+06 7.1296826146797892e+06 9.6985524533682608e+05 +1.3425041680560787e+01 3.0558951560055010e+07 3.0555827315293279e+07 3.0550497367693882e+07 3.0543259537036978e+07 3.0535456091476243e+07 3.0529354417958144e+07 3.0526040631130137e+07 3.0523742546247542e+07 3.0520520907621704e+07 3.0515782678306691e+07 3.0509510100121524e+07 3.0501490039134726e+07 3.0491389558968324e+07 3.0478850560632594e+07 3.0463484073402345e+07 3.0444824036722861e+07 3.0422310611254379e+07 3.0395287353802353e+07 3.0362986933898818e+07 3.0324508930720281e+07 3.0278802993664816e+07 3.0224626147739593e+07 3.0160292817352988e+07 3.0082909695880562e+07 2.9989197832583442e+07 2.9877519041838925e+07 2.9746221411527876e+07 2.9592626805689000e+07 2.9413447784313586e+07 2.9204985794903960e+07 2.8963168656463277e+07 2.8683576142330214e+07 2.8361490965877123e+07 2.7991986334207449e+07 2.7570062384373799e+07 2.7090835898163889e+07 2.6549800631130408e+07 2.5943157600654420e+07 2.5268220351725031e+07 2.4523873345045991e+07 2.3647863336840995e+07 2.2697320562646486e+07 2.1680638946035728e+07 2.0610404461640321e+07 1.9503234383039534e+07 1.8379077381947227e+07 1.7259949410567828e+07 1.6168207537205134e+07 1.5124618359362714e+07 1.4146466398579435e+07 1.3246199117399381e+07 1.2431035300335096e+07 1.1703201128184866e+07 1.1060050121142531e+07 1.0495763194912244e+07 1.0002883640234435e+07 9.5731327449102532e+06 9.1984896034329403e+06 8.8715313587493561e+06 8.5860266366686244e+06 8.3364139281911012e+06 8.1183503651839625e+06 7.9278827397112213e+06 7.7621479692567009e+06 7.6183542371738842e+06 7.4941805241396762e+06 7.3878221938098762e+06 7.2974036508235848e+06 7.2211158615760040e+06 7.1576268212453816e+06 7.1053025351343071e+06 7.0629248330199942e+06 7.0291084416792318e+06 7.0026442065882264e+06 6.9819056686347779e+06 6.9653167069729036e+06 6.9516812432228411e+06 6.9398754906462161e+06 6.9288136996188061e+06 6.9210114461844545e+06 6.9131415034061885e+06 6.9051149068895187e+06 6.8967091457214225e+06 6.8880381233719187e+06 6.8788547518019574e+06 6.8694558098916113e+06 6.8590203686845861e+06 6.8478521391521255e+06 6.8357455935727060e+06 6.8225402395540997e+06 6.8080410529280882e+06 6.7920283341718018e+06 6.7741888813235536e+06 6.7545492848270116e+06 6.7323811398988590e+06 6.7075266600909317e+06 6.6796251980439434e+06 6.6482886417375747e+06 6.6131167478940720e+06 6.5737080585667985e+06 6.5296209380315468e+06 6.4809063336008769e+06 6.4267243968381695e+06 6.3672559506934192e+06 6.3026385726609509e+06 6.2333791057026675e+06 6.1603399055559058e+06 6.0851623665631488e+06 6.0102911521852603e+06 5.9397186408260809e+06 5.8784854879444148e+06 5.8344645742030190e+06 5.8186314433545507e+06 5.8469304001571871e+06 5.9425700997987222e+06 6.1407201099881362e+06 6.4970562138895765e+06 7.1053773488837453e+06 9.6612086012064700e+05 +1.3430010003335045e+01 3.0468591110426780e+07 3.0465475841896564e+07 3.0460161419487376e+07 3.0452944404837351e+07 3.0445162896533396e+07 3.0439077422859173e+07 3.0435770875318460e+07 3.0433476393787775e+07 3.0430260413338207e+07 3.0425531490616187e+07 3.0419271742735330e+07 3.0411268493759088e+07 3.0401189588195488e+07 3.0388677745710075e+07 3.0373344869886287e+07 3.0354725960511979e+07 3.0332262449147675e+07 3.0305299377732608e+07 3.0273071151781365e+07 3.0234679397159856e+07 3.0189076157737918e+07 3.0135021308679964e+07 3.0070833189590160e+07 2.9993625218473922e+07 2.9900125859077394e+07 2.9788700684278317e+07 2.9657701893907491e+07 2.9504457859323435e+07 2.9325689121933006e+07 2.9117706226520047e+07 2.8876447187303845e+07 2.8597503087474197e+07 2.8276169037264802e+07 2.7907531630347412e+07 2.7486605179700036e+07 2.7008521114455339e+07 2.6468787814234011e+07 2.5863620208226956e+07 2.5190344109096147e+07 2.4447853443055596e+07 2.3574061482121278e+07 2.2625967153812967e+07 2.1611953555317115e+07 2.0544584084200632e+07 1.9440440652866255e+07 1.8319424113413461e+07 1.7203492226987511e+07 1.6114937446376724e+07 1.5074460717908317e+07 1.4099286169900900e+07 1.3201811681341963e+07 1.2389220284918731e+07 1.1663717495042542e+07 1.1022652780111391e+07 1.0460215193091784e+07 9.9689638686427698e+06 9.5406410647393018e+06 9.1672480682550166e+06 8.8413838740658332e+06 8.5568361200689040e+06 8.3080608963312963e+06 8.0907292999265473e+06 7.9009011227443758e+06 7.7357227301992420e+06 7.5924116559596565e+06 7.4686546858083382e+06 7.3626532441194924e+06 7.2725380906209843e+06 7.1965063115302045e+06 7.1332303868276561e+06 7.0810818624845361e+06 7.0388466360920891e+06 7.0051440900355801e+06 6.9787690967122335e+06 6.9581006398113044e+06 6.9415678891408946e+06 6.9279787359009702e+06 6.9162131472479319e+06 6.9051890388478283e+06 6.8974133806763571e+06 6.8895702690969370e+06 6.8815710400944352e+06 6.8731939400721407e+06 6.8645524835632853e+06 6.8554004292771639e+06 6.8460335219725417e+06 6.8356336626847032e+06 6.8245035135760000e+06 6.8124382477083970e+06 6.7992779198940564e+06 6.7848281709289057e+06 6.7688700503786188e+06 6.7510914285692405e+06 6.7315187834849320e+06 6.7094262243852550e+06 6.6846564897673698e+06 6.6568501619433984e+06 6.6256204522054242e+06 6.5905684819695596e+06 6.5512941621047780e+06 6.5073573669513538e+06 6.4588088491354194e+06 6.4048116531324554e+06 6.3455459727837350e+06 6.2811489165079445e+06 6.2121255991334515e+06 6.1393354360995768e+06 6.0644142251968449e+06 5.9897982983981986e+06 5.9194664023132762e+06 5.8584420325790532e+06 5.8145712146619055e+06 5.7987920735678766e+06 5.8269945423837705e+06 5.9223081451925607e+06 6.1197825365124410e+06 6.4749036715467274e+06 7.0811506416360689e+06 9.6240045860029699e+05 +1.3434978326109304e+01 3.0378472626242258e+07 3.0375366508229353e+07 3.0370067547015782e+07 3.0362871290570255e+07 3.0355111660200417e+07 3.0349042349813752e+07 3.0345743029971279e+07 3.0343452152990662e+07 3.0340241828130879e+07 3.0335522202540644e+07 3.0329275269346207e+07 3.0321288809996855e+07 3.0311231448462330e+07 3.0298746721685126e+07 3.0283447406071294e+07 3.0264869560009856e+07 3.0242455883807179e+07 3.0215552902107246e+07 3.0183396753470182e+07 3.0145091107054725e+07 3.0099590397172309e+07 3.0045657344305895e+07 2.9981614196317036e+07 2.9904581084027067e+07 2.9811293873550151e+07 2.9700121889995713e+07 2.9569421437050898e+07 2.9416527380964935e+07 2.9238168229653899e+07 2.9030663607580394e+07 2.8789961704197247e+07 2.8511664889302883e+07 2.8191080643677976e+07 2.7823308917897560e+07 2.7403378167435247e+07 2.6926434432045575e+07 2.6388000675453298e+07 2.5784305696367953e+07 2.5112687531809963e+07 2.4372049531143006e+07 2.3500471111993760e+07 2.2554820111369379e+07 2.1543468780323103e+07 2.0478957944598343e+07 1.9377834193490744e+07 1.8259950635603826e+07 1.7147206956671789e+07 1.6061831144967467e+07 1.5024458671106577e+07 1.4052253453427451e+07 1.3157563959406327e+07 1.2347537616614152e+07 1.1624359383156503e+07 1.0985374736315949e+07 1.0424780885652892e+07 9.9351527979839500e+06 9.5082536650023833e+06 9.1361069174984172e+06 8.8113333479522262e+06 8.5277395558873005e+06 8.2797991806133855e+06 8.0631972438591821e+06 7.8740064981008768e+06 7.7093827280316344e+06 7.5665527885540398e+06 7.4432112460798007e+06 7.3375655667295000e+06 7.2477528451115247e+06 7.1719762678165659e+06 7.1089127854628246e+06 7.0569394669787697e+06 7.0148462650605831e+06 6.9812572029804736e+06 6.9549711675079493e+06 6.9343725679996042e+06 6.9178958482184447e+06 6.9043528566086264e+06 6.8926273024363201e+06 6.8816407549979687e+06 6.8738916061483780e+06 6.8660752390270252e+06 6.8581032890665112e+06 6.8497547575215334e+06 6.8411427712694239e+06 6.8320219329957105e+06 6.8226869567828840e+06 6.8123225643788194e+06 6.8012303725828044e+06 6.7892062529605031e+06 6.7760908057872653e+06 6.7616903346495125e+06 6.7457866357831685e+06 6.7280686483327914e+06 6.7085627382623591e+06 6.6865455206276411e+06 6.6618602572138961e+06 6.6341487560447352e+06 6.6030255474495273e+06 6.5680931131083611e+06 6.5289527283003964e+06 6.4851657725129519e+06 6.4367828044189177e+06 6.3829697519176537e+06 6.3239061818340756e+06 6.2597287350272108e+06 6.1909408037805427e+06 6.1183988727280525e+06 6.0437331612238847e+06 5.9693716966604497e+06 5.8992796380030466e+06 5.8384633764260300e+06 5.7947421690805862e+06 5.7790168431748450e+06 5.8071231359353662e+06 5.9021116961675724e+06 6.0989126528534088e+06 6.4528227469147313e+06 7.0570022578141084e+06 9.5869399026874139e+05 +1.3439946648883563e+01 3.0288595847162846e+07 3.0285498793594718e+07 3.0280215220243011e+07 3.0273039649039265e+07 3.0265301836342812e+07 3.0259248652599905e+07 3.0255956548957080e+07 3.0253669277631976e+07 3.0250464605780229e+07 3.0245754267749727e+07 3.0239520133575693e+07 3.0231550441490758e+07 3.0221514593393482e+07 3.0209056942131102e+07 3.0193791135520473e+07 3.0175254288775574e+07 3.0152890368811205e+07 3.0126047380491592e+07 3.0093963192539081e+07 3.0055743514010902e+07 3.0010345165588420e+07 2.9956533708279409e+07 2.9892635291262012e+07 2.9815776746368598e+07 2.9722701329884864e+07 2.9611782112992089e+07 2.9481379495008755e+07 2.9328834824887447e+07 2.9150884561923463e+07 2.8943857392928820e+07 2.8703711662286267e+07 2.8426061003396161e+07 2.8106225241350371e+07 2.7739317653803859e+07 2.7320380805550124e+07 2.6844575310129605e+07 2.6307438675605841e+07 2.5705213528034896e+07 2.5035250085465893e+07 2.4296461078237507e+07 2.3427091699955121e+07 2.2483878914650377e+07 2.1475184107528880e+07 2.0413525538098875e+07 1.9315414510658145e+07 1.8200656466533806e+07 1.7091093131704271e+07 1.6008888180618040e+07 1.4974611783440992e+07 1.4005367831243845e+07 1.3113455551608739e+07 1.2305986913185567e+07 1.1585126427381376e+07 1.0948215640730457e+07 1.0389459938481137e+07 9.9014501076980941e+06 9.4759702373683415e+06 9.1050658537387270e+06 8.7813794926455338e+06 8.4987366649077851e+06 8.2516285093582757e+06 8.0357539318950782e+06 7.8471986064754697e+06 7.6831277084907060e+06 7.5407773850629479e+06 7.4178499588389164e+06 7.3125589187694024e+06 7.2230476741862874e+06 7.1475254926433582e+06 7.0846737813026914e+06 7.0328751143798828e+06 6.9909234869917221e+06 6.9574475486335205e+06 6.9312501879139356e+06 6.9107212228003852e+06 6.8943003543353155e+06 6.8808033759141788e+06 6.8691177271788083e+06 6.8581686194000207e+06 6.8504458941713655e+06 6.8426561850463198e+06 6.8347114259111248e+06 6.8263913704607086e+06 6.8178087591619929e+06 6.8087190359352073e+06 6.7994158876150977e+06 6.7890868473958159e+06 6.7780324901653435e+06 6.7660493837355683e+06 6.7529786720598070e+06 6.7386273193927789e+06 6.7227778662325889e+06 6.7051203170405980e+06 6.6856809262349522e+06 6.6637388064249316e+06 6.6391377410650132e+06 6.6115207599023823e+06 6.5805037080537621e+06 6.5456904230636805e+06 6.5066835402003834e+06 6.4630459392198659e+06 6.4148279855614109e+06 6.3611984810937457e+06 6.3023363677053684e+06 6.2383778202125300e+06 6.1698245139186857e+06 6.0975300121378778e+06 6.0231189738167915e+06 5.9490111486072773e+06 5.8791581518642334e+06 5.8185493254766632e+06 5.7749772449019188e+06 5.7593055601399252e+06 5.7873159878483536e+06 5.8819805566032138e+06 6.0781102563514831e+06 6.4308132255715933e+06 7.0329319629164496e+06 9.5500140479262394e+05 +1.3444914971657822e+01 3.0198960055364799e+07 3.0195872037067454e+07 3.0190603884565692e+07 3.0183448934935231e+07 3.0175732879632249e+07 3.0169695785803106e+07 3.0166410886888824e+07 3.0164127222245429e+07 3.0160928200764317e+07 3.0156227140718345e+07 3.0150005789938845e+07 3.0142052842696246e+07 3.0132038477413595e+07 3.0119607861462545e+07 3.0104375512672581e+07 3.0085879601228256e+07 3.0063565358558204e+07 3.0036782267248176e+07 3.0004769923380516e+07 2.9966636072429765e+07 2.9921339917448226e+07 2.9867649855043199e+07 2.9803895928921998e+07 2.9727211660056334e+07 2.9634347682766370e+07 2.9523680808020014e+07 2.9393575522738103e+07 2.9241379646201666e+07 2.9063837574138515e+07 2.8857287038171798e+07 2.8617696517547794e+07 2.8340690886249453e+07 2.8021602287347764e+07 2.7655557295917835e+07 2.7237612552842606e+07 2.6762943208845332e+07 2.6227101276507702e+07 2.5626343167092770e+07 2.4958031236603566e+07 2.4221087554260731e+07 2.3353922720526669e+07 2.2413143043932952e+07 2.1407099024401408e+07 2.0348286360949781e+07 1.9253181111148018e+07 1.8141541125282634e+07 1.7035150285181802e+07 1.5956108102031376e+07 1.4924919620382966e+07 1.3958628886417624e+07 1.3069486058929179e+07 1.2264567793324219e+07 1.1546018263489399e+07 1.0911175145207662e+07 1.0354252018307514e+07 9.8678554780874886e+06 9.4437904743018374e+06 9.0741245803143792e+06 8.7515220211439505e+06 8.4698271686459631e+06 8.2235486115681725e+06 8.0083990996417096e+06 7.8204771892309720e+06 7.6569574179755971e+06 7.5150851962569952e+06 7.3925705786304493e+06 7.2876330580091849e+06 7.1984223383582998e+06 7.1231537488632407e+06 7.0605131391300606e+06 7.0088885710744616e+06 6.9670780695803249e+06 6.9337148957333704e+06 6.9076059274876900e+06 6.8871463744217642e+06 6.8707811782377576e+06 6.8573300650105383e+06 6.8456841930424878e+06 6.8347724039732143e+06 6.8270760169491852e+06 6.8193128795986865e+06 6.8113952233411390e+06 6.8031035518808113e+06 6.7945502205145741e+06 6.7854915116709778e+06 6.7762200883491114e+06 6.7659262859609816e+06 6.7549096409160364e+06 6.7429674150200495e+06 6.7299412941455431e+06 6.7156389010759015e+06 6.6998435181528153e+06 6.6822462117101140e+06 6.6628731250750422e+06 6.6410058601824688e+06 6.6164887205361985e+06 6.5889659536559014e+06 6.5580547151836567e+06 6.5233601941544311e+06 6.4844863814227367e+06 6.4409976521431245e+06 6.3929441792349601e+06 6.3394976291165305e+06 6.2808363208107352e+06 6.2170959646035619e+06 6.1487765243699467e+06 6.0767286515466254e+06 6.0025714626734443e+06 5.9287164564050892e+06 5.8591017483775718e+06 5.7986996862311522e+06 5.7552762500758022e+06 5.7396580329376953e+06 5.7675729056649460e+06 5.8619145308910459e+06 6.0573751448772382e+06 6.4088748936598869e+06 7.0089395230623949e+06 9.5132265201171406e+05 +1.3449883294432080e+01 3.0109564811491448e+07 3.0106485685139500e+07 3.0101232964813527e+07 3.0094098601746324e+07 3.0086404245637480e+07 3.0080383204760339e+07 3.0077105499193698e+07 3.0074825442254864e+07 3.0071632068412051e+07 3.0066940276747189e+07 3.0060731693724491e+07 3.0052795468856476e+07 3.0042802555733051e+07 3.0030398934909388e+07 3.0015199992697734e+07 2.9996744952536173e+07 2.9974480308213905e+07 2.9947757017591547e+07 2.9915816401213199e+07 2.9877768237559080e+07 2.9832574107990641e+07 2.9779005239921905e+07 2.9715395564668745e+07 2.9638885280513629e+07 2.9546232387676835e+07 2.9435817430719253e+07 2.9306008975997623e+07 2.9154161300861470e+07 2.8977026722440705e+07 2.8770951999742374e+07 2.8531915726820912e+07 2.8255553995154765e+07 2.7937211239604905e+07 2.7572027302950587e+07 2.7155072869070813e+07 2.6681537589205563e+07 2.6146987940798737e+07 2.5547694078302514e+07 2.4881030452701721e+07 2.4145928430088438e+07 2.3280963649171870e+07 2.2342611980465949e+07 2.1339213019438110e+07 2.0283239910451137e+07 1.9191133502748434e+07 1.8082604131955355e+07 1.6979377951247711e+07 1.5903490458900373e+07 1.4875381748430684e+07 1.3912036203014899e+07 1.3025655083316123e+07 1.2223279876663757e+07 1.1507034528146226e+07 1.0874252902487673e+07 1.0319156792712776e+07 9.8343685902399607e+06 9.4117140690714754e+06 9.0432828013465423e+06 8.7217606471907031e+06 8.4410107893409021e+06 8.1955592169847274e+06 7.9811324833893236e+06 7.7938419884321559e+06 7.6308716035545235e+06 7.4894759735561348e+06 7.3673728606374683e+06 7.2627877428580541e+06 7.1738765987796010e+06 7.0988607999348929e+06 7.0364306243448053e+06 6.9849796040588953e+06 6.9433097811150718e+06 6.9100590136113539e+06 6.8840381564072408e+06 6.8636477936887937e+06 6.8473380912720636e+06 6.8339326956782863e+06 6.8223264722000165e+06 6.8114518812658135e+06 6.8037817472561020e+06 6.7960450957289729e+06 6.7881544546693331e+06 6.7798910753611550e+06 6.7713669292016337e+06 6.7623391343732625e+06 6.7530993334671771e+06 6.7428406549091144e+06 6.7318616000340702e+06 6.7199601224063123e+06 6.7069784480650360e+06 6.6927248561899513e+06 6.6769833685753802e+06 6.6594461099569546e+06 6.6401391130275698e+06 6.6183464608789207e+06 6.5939129754178785e+06 6.5664841180132357e+06 6.5356783505787868e+06 6.5011022092768988e+06 6.4623610361588355e+06 6.4190206969209816e+06 6.3711311726769013e+06 6.3178669850002863e+06 6.2594058321255594e+06 6.1958829612897830e+06 6.1277966304971753e+06 6.0559945887249745e+06 5.9820904280218249e+06 5.9084874227404604e+06 5.8391102325550010e+06 5.7789142657079929e+06 5.7356389930673949e+06 5.7200740705486378e+06 5.7478936974322274e+06 5.8419134239438633e+06 6.0367071168350801e+06 6.3870075378877167e+06 6.9850247049840782e+06 9.4765768193835276e+05 +1.3454851617206339e+01 3.0020409536044206e+07 3.0017339359968428e+07 3.0012101898034904e+07 3.0004988101984903e+07 2.9997315390772320e+07 2.9991310365606189e+07 2.9988039842132267e+07 2.9985763393808719e+07 2.9982575664884958e+07 2.9977893131971776e+07 2.9971697300985318e+07 2.9963777776040044e+07 2.9953806284410845e+07 2.9941429618476864e+07 2.9926264031617511e+07 2.9907849798735902e+07 2.9885634673790868e+07 2.9858971087552551e+07 2.9827102082061440e+07 2.9789139465409860e+07 2.9744047193304013e+07 2.9690599319027796e+07 2.9627133654667273e+07 2.9550797063973181e+07 2.9458354900965113e+07 2.9348191437530972e+07 2.9218679311391924e+07 2.9067179245628711e+07 2.8890451463842474e+07 2.8684851734968614e+07 2.8446368747812442e+07 2.8170649788291130e+07 2.7853051556893941e+07 2.7488727134487037e+07 2.7072761214809708e+07 2.6600357913113929e+07 2.6067098132062174e+07 2.5469265727388393e+07 2.4804247202147495e+07 2.4070983177524175e+07 2.3208213962332290e+07 2.2272285206554413e+07 2.1271525582122128e+07 2.0218385684859894e+07 1.9129271194297560e+07 1.8023845007685106e+07 1.6923775665040523e+07 1.5851034801963458e+07 1.4825997735081835e+07 1.3865589366111862e+07 1.2981962227675274e+07 1.2182122783779087e+07 1.1468174858947443e+07 1.0837448566185310e+07 1.0284173930129712e+07 9.8009891260669492e+06 9.3797407157292515e+06 9.0125402217123117e+06 8.6920950852649286e+06 8.4122872499526180e+06 8.1676600560313538e+06 7.9539538201267393e+06 7.7672927468016902e+06 7.6048700129582025e+06 7.4639494690351775e+06 7.3422565606859075e+06 7.2380227323602801e+06 7.1494102172348220e+06 7.0746464099580199e+06 7.0124260029670903e+06 6.9611479809374791e+06 6.9196183905091556e+06 6.8864796722328970e+06 6.8605466454399712e+06 6.8402252520339657e+06 6.8239708653998859e+06 6.8106110403217431e+06 6.7990443374299593e+06 6.7882068244006000e+06 6.7805628584941160e+06 6.7728526070871474e+06 6.7649888938063355e+06 6.7567537150963396e+06 6.7482586596942469e+06 6.7392616788179222e+06 6.7300533980495399e+06 6.7198297296495056e+06 6.7088881433017347e+06 6.6970272820736421e+06 6.6840899104299806e+06 6.6698849618283976e+06 6.6541971951072970e+06 6.6367197899749624e+06 6.6174786689389637e+06 6.5957603880832018e+06 6.5714102860967554e+06 6.5440750342644909e+06 6.5133743965643803e+06 6.4789162519030850e+06 6.4403072891724678e+06 6.3971148597579654e+06 6.3493887536901850e+06 6.2963063383223927e+06 6.2380446931598950e+06 6.1747386039154045e+06 6.1068846282070614e+06 6.0353276219633874e+06 5.9616756706211064e+06 5.8883238508272059e+06 5.8191834099118402e+06 5.7591928714313610e+06 5.7160652828382868e+06 5.7005534824531814e+06 5.7282781717121610e+06 5.8219770411855746e+06 6.0161059711614549e+06 6.3652109455254907e+06 6.9611872760333316e+06 9.4400644475689624e+05 +1.3459819939980598e+01 2.9931493704189330e+07 2.9928432398197528e+07 2.9923210147180188e+07 2.9916116888949100e+07 2.9908465772361983e+07 2.9902476725210052e+07 2.9899213372734014e+07 2.9896940533902634e+07 2.9893758447120465e+07 2.9889085163304370e+07 2.9882902068612684e+07 2.9874999221095417e+07 2.9865049120284155e+07 2.9852699369016521e+07 2.9837567086275250e+07 2.9819193596608859e+07 2.9797027912110120e+07 2.9770423933918137e+07 2.9738626422763661e+07 2.9700749212884180e+07 2.9655758630257320e+07 2.9602431549280498e+07 2.9539109655878156e+07 2.9462946467500161e+07 2.9370714679786041e+07 2.9260802285711192e+07 2.9131585986313991e+07 2.8980432938095596e+07 2.8804111256173950e+07 2.8598985701990683e+07 2.8361055039027605e+07 2.8085977724698082e+07 2.7769122698876731e+07 2.7405656250987038e+07 2.6990677051586233e+07 2.6519403643379614e+07 2.5987431314780954e+07 2.5391057580952771e+07 2.4727680954291303e+07 2.3996251269326314e+07 2.3135673137400381e+07 2.2202162205410011e+07 2.1204036202921435e+07 2.0153723183487263e+07 1.9067593695633005e+07 1.7965263274606515e+07 1.6868342962772340e+07 1.5798740682933196e+07 1.4776767148833750e+07 1.3819287961725967e+07 1.2938407095891340e+07 1.2141096136172593e+07 1.1429438894384211e+07 1.0800761790778726e+07 1.0249303099828953e+07 9.7677167683107983e+06 9.3478701091100127e+06 8.9818965470536854e+06 8.6625250505898464e+06 8.3836562741744528e+06 8.1398508598440867e+06 7.9268628475328395e+06 7.7408292077389099e+06 7.5789523945782492e+06 7.4385054354236834e+06 7.3172214352538511e+06 7.2133377861968065e+06 7.1250229561262410e+06 7.0505103436347675e+06 6.9884990416235356e+06 6.9373934699519658e+06 6.8960036672862051e+06 6.8629766421528803e+06 6.8371311659721928e+06 6.8168785214828057e+06 6.8006792731716810e+06 6.7873648719196571e+06 6.7758375621023541e+06 6.7650370071255425e+06 6.7574191246509012e+06 6.7497351879262999e+06 6.7418983152599474e+06 6.7336912458658442e+06 6.7252251870530602e+06 6.7162589203682058e+06 6.7070820577689717e+06 6.6968932862041285e+06 6.6859890470987782e+06 6.6741686708029257e+06 6.6612754584526755e+06 6.6471189956754120e+06 6.6314847759579327e+06 6.6140670305577787e+06 6.5948915722388914e+06 6.5732474219398638e+06 6.5489804335303120e+06 6.5217384842914371e+06 6.4911426360353101e+06 6.4568021060800264e+06 6.4183249257930601e+06 6.3752799274330316e+06 6.3277167106387867e+06 6.2748154792123334e+06 6.2167526959943799e+06 6.1536626866514431e+06 6.0860403139412142e+06 6.0147275500945896e+06 5.9413269917604551e+06 5.8682255443902109e+06 5.7993210864842776e+06 5.7395353114328580e+06 5.6965549288618909e+06 5.6810960786475344e+06 5.7087261375690596e+06 5.8021051885526609e+06 5.9955715073306179e+06 6.3434849044139981e+06 6.9374270041897381e+06 9.4036889082317066e+05 +1.3464788262754857e+01 2.9842816550632823e+07 2.9839764317126673e+07 2.9834557194730617e+07 2.9827484418372720e+07 2.9819854848506518e+07 2.9813881741320029e+07 2.9810625548894849e+07 2.9808356320325576e+07 2.9805179872875314e+07 2.9800515828476250e+07 2.9794345454325508e+07 2.9786459261725463e+07 2.9776530521044046e+07 2.9764207644160610e+07 2.9749108614274982e+07 2.9730775803814769e+07 2.9708659480828237e+07 2.9682115014360841e+07 2.9650388880968913e+07 2.9612596937615734e+07 2.9567707876543958e+07 2.9514501388402242e+07 2.9451323026117228e+07 2.9375332948934741e+07 2.9283311182079785e+07 2.9173649433384866e+07 2.9044728459013406e+07 2.8893921836716749e+07 2.8718005558129340e+07 2.8513353359810721e+07 2.8275974059845109e+07 2.8001537264227509e+07 2.7685424126045574e+07 2.7322814113782071e+07 2.6908819841724388e+07 2.6438674243704069e+07 2.5907986954356566e+07 2.5313069106564682e+07 2.4651331179389529e+07 2.3921732179225743e+07 2.3063340652755301e+07 2.2132242461267892e+07 2.1136744373292737e+07 2.0089251906646058e+07 1.9006100517597217e+07 1.7906858455920614e+07 1.6813079381632615e+07 1.5746607654588802e+07 1.4727689559195403e+07 1.3773131576901611e+07 1.2894989292803396e+07 1.2100199556293298e+07 1.1390826273833686e+07 1.0764192231644385e+07 1.0214543971943747e+07 9.7345512005206160e+06 9.3161019448558837e+06 8.9513514837779496e+06 8.6330502591380756e+06 8.3551175864066696e+06 8.1121313602643348e+06 7.8998593039690191e+06 7.7144511153297713e+06 7.5531184974763980e+06 7.4131436261006314e+06 7.2922672414525086e+06 7.1887326646854468e+06 7.1007145784964198e+06 7.0264523663137630e+06 6.9646495075865062e+06 6.9137158399345549e+06 6.8724653815774582e+06 6.8395496945463363e+06 6.8137914899865696e+06 6.7936073746688208e+06 6.7774630877487855e+06 6.7641939640831258e+06 6.7527059201967185e+06 6.7419422037692219e+06 6.7343503203119095e+06 6.7266926130881365e+06 6.7188824941383339e+06 6.7107034430518793e+06 6.7022662869449519e+06 6.6933306349918069e+06 6.6841850888960436e+06 6.6740311011773823e+06 6.6631640884009581e+06 6.6513840659556417e+06 6.6385348699308550e+06 6.6244267359858919e+06 6.6088458899155818e+06 6.5914876110595679e+06 6.5723776029332923e+06 6.5508073431892889e+06 6.5266231992652034e+06 6.4994742505385261e+06 6.4689828524621548e+06 6.4347595564192748e+06 6.3964137319270987e+06 6.3535156872710334e+06 6.3061148324429840e+06 6.2533941983592827e+06 6.1955296332527269e+06 6.1326550042350302e+06 6.0652634846882150e+06 5.9941941724816663e+06 5.9210441932491316e+06 5.8481923076837081e+06 5.7795230688200230e+06 5.7199413942646235e+06 5.6771077411150616e+06 5.6617016696199626e+06 5.6892374045711793e+06 5.7822976725103622e+06 5.9751035253449678e+06 6.3218292029461227e+06 6.9137436580275213e+06 9.3674497066391876e+05 +1.3469756585529115e+01 2.9754377867127210e+07 2.9751334565928131e+07 2.9746142524919290e+07 2.9739090149407085e+07 2.9731482078012247e+07 2.9725524872425888e+07 2.9722275829256803e+07 2.9720010211698294e+07 2.9716839400733396e+07 2.9712184586016450e+07 2.9706026916639097e+07 2.9698157356419049e+07 2.9688249945110291e+07 2.9675953902367931e+07 2.9660888074090619e+07 2.9642595878767408e+07 2.9620528838334288e+07 2.9594043787292860e+07 2.9562388915137906e+07 2.9524682098091081e+07 2.9479894390718799e+07 2.9426808294984989e+07 2.9363773223970655e+07 2.9287955967023801e+07 2.9196143866687626e+07 2.9086732339453798e+07 2.8958106188579481e+07 2.8807645400783595e+07 2.8632133829224627e+07 2.8427954168253332e+07 2.8191125270529721e+07 2.7917327867640357e+07 2.7601955299853351e+07 2.7240200185086764e+07 2.6827189048508663e+07 2.6358169178675003e+07 2.5828764517061256e+07 2.5235299772688556e+07 2.4575197348678786e+07 2.3847425381865937e+07 2.2991215987748764e+07 2.2062525459328633e+07 2.1069649585742351e+07 2.0024971355646227e+07 1.8944791172062345e+07 1.7848630075824443e+07 1.6757984459863540e+07 1.5694635270700037e+07 1.4678764536666386e+07 1.3727119799640335e+07 1.2851708424181221e+07 1.2059432667515440e+07 1.1352336637630293e+07 1.0727739545009024e+07 1.0179896217419581e+07 9.7014921070528217e+06 9.2844359193817656e+06 8.9209047390527669e+06 8.6036704276178330e+06 8.3266709117858764e+06 8.0845012898440128e+06 7.8729429284844957e+06 7.6881582143200031e+06 7.5273680713663911e+06 7.3878637950972831e+06 7.2673937370403055e+06 7.1642071287643500e+06 7.0764848480131608e+06 7.0024722439582590e+06 6.9408771687153932e+06 6.8901148603466284e+06 6.8490033041302534e+06 6.8161986011791807e+06 6.7905273900794853e+06 6.7704115848325286e+06 6.7543220828973670e+06 6.7410980910017937e+06 6.7296491862922767e+06 6.7189221892682025e+06 6.7113562206673166e+06 6.7037246580142081e+06 6.6959412061454235e+06 6.6877900826274753e+06 6.6793817356312899e+06 6.6704765992442993e+06 6.6613622682856563e+06 6.6512429517762689e+06 6.6404130447672904e+06 6.6286732454926241e+06 6.6158679232447036e+06 6.6018079616271909e+06 6.5862803163470710e+06 6.5689813114543464e+06 6.5499365416201148e+06 6.5284399331422923e+06 6.5043383654218363e+06 6.4772821160345292e+06 6.4468948298876761e+06 6.4127883881223369e+06 6.3745734940311620e+06 6.3318219271831512e+06 6.2845829085834175e+06 6.2320422870019693e+06 6.1743752981120665e+06 6.1117153519407930e+06 6.0445539379691705e+06 5.9737272890200280e+06 5.9008270774246678e+06 5.8282239454768263e+06 5.7597891639821921e+06 5.7004109289684212e+06 5.6577235300758211e+06 5.6423700663661966e+06 5.6698117827979196e+06 5.7625543000309197e+06 5.9547018257381497e+06 6.3002436300735613e+06 6.8901370067504263e+06 9.3313463497625187e+05 +1.3474724908303374e+01 2.9666176925354492e+07 2.9663142453529280e+07 2.9657965602190349e+07 2.9650933543612115e+07 2.9643346920391701e+07 2.9637405577865254e+07 2.9634163673309296e+07 2.9631901667406034e+07 2.9628736490072388e+07 2.9624090895269785e+07 2.9617945914866999e+07 2.9610092964439910e+07 2.9600206851806395e+07 2.9587937602900315e+07 2.9572904924962815e+07 2.9554653280752525e+07 2.9532635443941019e+07 2.9506209712001700e+07 2.9474625984538484e+07 2.9437004153610155e+07 2.9392317632076465e+07 2.9339351728372924e+07 2.9276459708905797e+07 2.9200814981246244e+07 2.9109212193201020e+07 2.9000050463670749e+07 2.8871718634898052e+07 2.8721603090378873e+07 2.8546495529842816e+07 2.8342787588005643e+07 2.8106508132138088e+07 2.7833348996543251e+07 2.7518715682475030e+07 2.7157813927985467e+07 2.6745784136073247e+07 2.6277887913767643e+07 2.5749763470136918e+07 2.5157749048690956e+07 2.4499278934282403e+07 2.3773330352879867e+07 2.2919298622676197e+07 2.1993010685777117e+07 2.1002751333704740e+07 1.9960881032811444e+07 1.8883665171939779e+07 1.7790577659519941e+07 1.6703057736696681e+07 1.5642823086053945e+07 1.4629991652773147e+07 1.3681252218923656e+07 1.2808564096810870e+07 1.2018795094129786e+07 1.1313969626945043e+07 1.0691403387981355e+07 1.0145359508079188e+07 9.6685391731021982e+06 9.2528717298892885e+06 8.8905560208202116e+06 8.5743852734746337e+06 8.2983159761494584e+06 8.0569603818180617e+06 7.8461134608140672e+06 7.6619502501316974e+06 7.5017008666222924e+06 7.3626656970903026e+06 7.2426006804114981e+06 7.1397609400261836e+06 7.0523335289540235e+06 6.9785697431295598e+06 6.9171817935007606e+06 6.8665903012483502e+06 6.8256172062821491e+06 6.7929231344431080e+06 6.7673386394447386e+06 6.7472909258133397e+06 6.7312560329724010e+06 6.7180770274743289e+06 6.7066671355611887e+06 6.6959767391527975e+06 6.6884366015048446e+06 6.6808310987414429e+06 6.6730742275805436e+06 6.6649509411697425e+06 6.6565713099608002e+06 6.6476965902689500e+06 6.6386133733994635e+06 6.6285286157845380e+06 6.6177356943496559e+06 6.6060359879505550e+06 6.5932743973670835e+06 6.5792624520391263e+06 6.5637878352291547e+06 6.5465479122777069e+06 6.5275681694662953e+06 6.5061449736904427e+06 6.4821257146960646e+06 6.4551618643875839e+06 6.4248783529357724e+06 6.3908883869333360e+06 6.3528039991517682e+06 6.3101984356255792e+06 6.2631207291005310e+06 6.2107595369450115e+06 6.1532894842848359e+06 6.0908435255766558e+06 6.0239114718442010e+06 5.9533267001318214e+06 5.8806754471455496e+06 5.8083202630568948e+06 5.7401191795421680e+06 5.6809437250994081e+06 5.6384021067348560e+06 5.6231010803847276e+06 5.6504490828279192e+06 5.7428748785849586e+06 5.9343662095697010e+06 6.2787279753229991e+06 6.8666068201654367e+06 9.2953783462710585e+05 +1.3479693231077633e+01 2.9578213250682048e+07 2.9575187541578140e+07 2.9570025874081645e+07 2.9563014063121073e+07 2.9555448835776694e+07 2.9549523317814525e+07 2.9546288541353811e+07 2.9544030147690747e+07 2.9540870601056203e+07 2.9536234216393203e+07 2.9530101909138400e+07 2.9522265545949515e+07 2.9512400701190047e+07 2.9500158205851167e+07 2.9485158626948789e+07 2.9466947469803918e+07 2.9444978757665742e+07 2.9418612248553634e+07 2.9387099549291484e+07 2.9349562564332228e+07 2.9304977060791809e+07 2.9252131148819435e+07 2.9189381941187888e+07 2.9113909451990210e+07 2.9022515622084472e+07 2.8913603266610667e+07 2.8785565258745864e+07 2.8635794366447970e+07 2.8461090121163122e+07 2.8257853080590818e+07 2.8022122106635742e+07 2.7749600113370653e+07 2.7435704737075534e+07 2.7075654806405574e+07 2.6664604569437128e+07 2.6197829915377568e+07 2.5670983281679053e+07 2.5080416404900283e+07 2.4423575409296658e+07 2.3699446568818796e+07 2.2847588038786542e+07 2.1923697627789088e+07 2.0936049111680645e+07 1.9896980441496942e+07 1.8822722031136330e+07 1.7732700733278990e+07 1.6648298752419451e+07 1.5591170656439628e+07 1.4581370480006637e+07 1.3635528424737351e+07 1.2765555918388145e+07 1.1978286461392287e+07 1.1275724883882891e+07 1.0655183418538501e+07 1.0110933516540170e+07 9.6356920846339446e+06 9.2214090743697658e+06 8.8603050377625059e+06 8.5451945148933455e+06 8.2700525060711605e+06 8.0295083701359071e+06 7.8193706413807645e+06 7.6358269688536366e+06 7.4761166342891157e+06 7.3375490874062730e+06 7.2178878305962496e+06 7.1153938606783766e+06 7.0282603862415645e+06 6.9547446310346434e+06 6.8935631510354169e+06 6.8431419333105134e+06 6.8023068599975696e+06 6.7697230673195561e+06 6.7442250118801966e+06 6.7242451720512314e+06 6.7082647129397495e+06 6.6951305488874540e+06 6.6837595437686378e+06 6.6731056295502614e+06 6.6655912391963983e+06 6.6580117119075917e+06 6.6502813353333129e+06 6.6421857958415775e+06 6.6338347873775708e+06 6.6249903858138807e+06 6.6159381822742857e+06 6.6058878715849360e+06 6.5951318158898801e+06 6.5834720724711800e+06 6.5707540718602119e+06 6.5567899872516096e+06 6.5413682270984231e+06 6.5241871946458891e+06 6.5052722682363288e+06 6.4839222473056586e+06 6.4599850303658014e+06 6.4331132797663249e+06 6.4029332067907648e+06 6.3690593391835382e+06 6.3311050348805487e+06 6.2886450016235253e+06 6.2417280845929021e+06 6.1895457405252475e+06 6.1322719860512549e+06 6.0700393215098865e+06 6.0033358849072913e+06 5.9329922067797016e+06 5.8605891058003251e+06 5.7884810662299413e+06 5.7205129235858796e+06 5.6615395927259214e+06 5.6191432825632105e+06 5.6038945236636242e+06 5.6311491157415221e+06 5.7232592161689904e+06 5.9140964784256490e+06 6.2572820287653720e+06 6.8431528686905513e+06 9.2595452065269672e+05 +1.3484661553851891e+01 2.9490486229477920e+07 2.9487469427735530e+07 2.9482322784937330e+07 2.9475331168848142e+07 2.9467787284885667e+07 2.9461877553247266e+07 2.9458649894469470e+07 2.9456395113547280e+07 2.9453241194684405e+07 2.9448614010370713e+07 2.9442494360417921e+07 2.9434674561816018e+07 2.9424830954210844e+07 2.9412615172084935e+07 2.9397648640949950e+07 2.9379477906833399e+07 2.9357558240422837e+07 2.9331250857852925e+07 2.9299809070267752e+07 2.9262356791155562e+07 2.9217872137837756e+07 2.9165146017289162e+07 2.9102539381873824e+07 2.9027238840368994e+07 2.8936053614613257e+07 2.8827390209678743e+07 2.8699645521674763e+07 2.8550218690782201e+07 2.8375917065240569e+07 2.8173150108399808e+07 2.7937966656777494e+07 2.7666080681442011e+07 2.7352921927617401e+07 2.6993722285222095e+07 2.6583649814512685e+07 2.6117994650813043e+07 2.5592423420688167e+07 2.5003301312537152e+07 2.4348086247741241e+07 2.3625773507178776e+07 2.2776083718351718e+07 2.1854585773514397e+07 2.0869542415100344e+07 1.9833269086004835e+07 1.8761961264566369e+07 1.7674998824342698e+07 1.6593707048316525e+07 1.5539677538680429e+07 1.4532900591882188e+07 1.3589948008038383e+07 1.2722683497572903e+07 1.1937906395450290e+07 1.1237602051451923e+07 1.0619079295523936e+07 1.0076617916308658e+07 9.6029505284576248e+06 9.1900476515904218e+06 8.8301514993328955e+06 8.5160978707880192e+06 8.2418802288160333e+06 8.0021449894379387e+06 7.7927142112857727e+06 7.6097881172548439e+06 7.4506151260407269e+06 7.3125137220143536e+06 7.1932549472742472e+06 7.0911056535536340e+06 7.0042651854051948e+06 6.9309966754814256e+06 6.8700210110400291e+06 6.8197695278227711e+06 6.7790720378374318e+06 6.7465981733938698e+06 6.7211862817840362e+06 6.7012740985829653e+06 6.6853478983524172e+06 6.6722584312376054e+06 6.6609261872883979e+06 6.6503086371774357e+06 6.6428199107149709e+06 6.6352662747297715e+06 6.6275623068878688e+06 6.6194944243864194e+06 6.6111719459118638e+06 6.6023577642043354e+06 6.5933364735467881e+06 6.5833204981431244e+06 6.5726011887217062e+06 6.5609812787694149e+06 6.5483067268704874e+06 6.5343903478680700e+06 6.5190212730853613e+06 6.5018989402661743e+06 6.4830486202613991e+06 6.4617715370390555e+06 6.4379160962837003e+06 6.4111361469271649e+06 6.3810591772153564e+06 6.3473010317672184e+06 6.3094763893866958e+06 6.2671614147628592e+06 6.2204047662168108e+06 6.1684006906488743e+06 6.1113225982206566e+06 6.0493025366272265e+06 5.9828269762904122e+06 5.9127236104428144e+06 5.8405678572954535e+06 5.7687061613089889e+06 5.7009702047066661e+06 5.6421983424108308e+06 5.5999468695609439e+06 5.5847502087076502e+06 5.6119116931225490e+06 5.7037071212846031e+06 5.8938924344308591e+06 6.2359055810407568e+06 6.8197749233585466e+06 9.2238464425797178e+05 +1.3489629876626150e+01 2.9402995440649580e+07 2.9399987443267431e+07 2.9394855786082447e+07 2.9387884320659254e+07 2.9380361729162440e+07 2.9374467746048409e+07 2.9371247194584101e+07 2.9368996026831824e+07 2.9365847732799660e+07 2.9361229738954868e+07 2.9355122730469331e+07 2.9347319473818604e+07 2.9337497072541807e+07 2.9325307963338442e+07 2.9310374428676866e+07 2.9292244053498290e+07 2.9270373353893712e+07 2.9244125001590766e+07 2.9212754009238955e+07 2.9175386295843691e+07 2.9131002324993756e+07 2.9078395795656420e+07 2.9015931492889911e+07 2.8940802608411279e+07 2.8849825632881951e+07 2.8741410755143616e+07 2.8613958886087127e+07 2.8464875525999170e+07 2.8290975824958052e+07 2.8088678134623282e+07 2.7854041246240988e+07 2.7582790164964560e+07 2.7270366718957026e+07 2.6912015830102202e+07 2.6502919338105246e+07 2.6038381588204566e+07 2.5514083357155316e+07 2.4926403243773691e+07 2.4272810924544994e+07 2.3552310646468893e+07 2.2704785144542586e+07 2.1785674612076353e+07 2.0803230740439720e+07 1.9769746471724510e+07 1.8701382388180252e+07 1.7617471461014688e+07 1.6539282166691117e+07 1.5488343290587211e+07 1.4484581562899007e+07 1.3544510560751069e+07 1.2679946443998309e+07 1.1897654523386845e+07 1.1199600773541074e+07 1.0583090678641086e+07 1.0042412381692173e+07 9.5703141921701096e+06 9.1587871611022931e+06 8.8000951157349367e+06 8.4870950608187541e+06 8.2137988723972458e+06 7.9748699750632411e+06 7.7661439123167042e+06 7.5838334427549960e+06 7.4251960942356028e+06 7.2875593575383499e+06 7.1687017907430409e+06 7.0668960821267376e+06 6.9803476926046954e+06 6.9073256449004449e+06 6.8465551438298421e+06 6.7964728566653831e+06 6.7559125129585806e+06 6.7235482268533576e+06 6.6982222241456714e+06 6.6783774810443148e+06 6.6625053653650004e+06 6.6494604511041176e+06 6.6381668430788917e+06 6.6275855393546447e+06 6.6201223936250182e+06 6.6125945650386224e+06 6.6049169203174664e+06 6.5968766051645596e+06 6.5885825641924515e+06 6.5797985043617701e+06 6.5708080264360933e+06 6.5608262750300094e+06 6.5501435927558290e+06 6.5385633871458294e+06 6.5259321431207722e+06 6.5120633150996920e+06 6.4967467549006548e+06 6.4796829314190950e+06 6.4608970084560867e+06 6.4396926265206160e+06 6.4159186968721310e+06 6.3892302511882922e+06 6.3592560505360169e+06 6.3256132521399865e+06 6.2879178513886044e+06 6.2457474651840804e+06 6.1991505656781588e+06 6.1473241807649126e+06 6.0904411161600752e+06 6.0286329683815474e+06 5.9623845456559341e+06 5.8925207131312164e+06 5.8206115060558412e+06 5.7489953551324727e+06 5.6814908319982439e+06 5.6229197852254575e+06 5.5808126802015323e+06 5.5656679485053420e+06 5.5927366270560296e+06 5.6842184029427478e+06 5.8737538802229315e+06 6.2145984233312868e+06 6.7964727558044735e+06 9.1882815681607788e+05 +1.3494598199400409e+01 2.9315740234430823e+07 2.9312740995915990e+07 2.9307624345386673e+07 2.9300672978888445e+07 2.9293171630752068e+07 2.9287293358925257e+07 2.9284079904381592e+07 2.9281832350182425e+07 2.9278689678014483e+07 2.9274080864792977e+07 2.9267986481844790e+07 2.9260199744490348e+07 2.9250398518750895e+07 2.9238236042118326e+07 2.9223335452611450e+07 2.9205245372336812e+07 2.9183423560613547e+07 2.9157234142315902e+07 2.9125933828704704e+07 2.9088650540972903e+07 2.9044367084865399e+07 2.8991879946552992e+07 2.8929557736975968e+07 2.8854600218910843e+07 2.8763831139821775e+07 2.8655664366032183e+07 2.8528504815230053e+07 2.8379764335564483e+07 2.8206265864037476e+07 2.8004436623332061e+07 2.7770345339505732e+07 2.7499728028932434e+07 2.7188038576826792e+07 2.6830534907645803e+07 2.6422412607907172e+07 2.5958990196675621e+07 2.5435962561868925e+07 2.4849721671658192e+07 2.4197748915628176e+07 2.3479057466063127e+07 2.2633691801541690e+07 2.1716963633607797e+07 2.0737113585133053e+07 1.9706412104978077e+07 1.8640984918945786e+07 1.7560118172577780e+07 1.6485023650875272e+07 1.5437167471005123e+07 1.4436412968562456e+07 1.3499215675767491e+07 1.2637344368230036e+07 1.1857530473239459e+07 1.1161720694938865e+07 1.0547217228474986e+07 1.0008316587832952e+07 9.5377827641809247e+06 9.1276273032401688e+06 8.7701355979303606e+06 8.4581858053710051e+06 8.1858081655072039e+06 7.9476830630390933e+06 7.7396594869270660e+06 7.5579626934491340e+06 7.3998592918745754e+06 7.2626857512321146e+06 7.1442281219430408e+06 7.0427649104870334e+06 6.9565076746198535e+06 6.8837313083380777e+06 6.8231653203394562e+06 6.7732516923384909e+06 6.7328280591325816e+06 6.7005730024880050e+06 6.6753326145623205e+06 6.6555550956684593e+06 6.6397368907275666e+06 6.6267363856668239e+06 6.6154812886855388e+06 6.6049361139798919e+06 6.5974984660832612e+06 6.5899963612229349e+06 6.5823449542901767e+06 6.5743321171006486e+06 6.5660664214321412e+06 6.5573123857918968e+06 6.5483526207510792e+06 6.5384049823680259e+06 6.5277588084952580e+06 6.5162181784995301e+06 6.5036301019285023e+06 6.4898086707078395e+06 6.4745444548308123e+06 6.4575389509737352e+06 6.4388172163145738e+06 6.4176852999470225e+06 6.3939926171270991e+06 6.3673953784424616e+06 6.3375236136590159e+06 6.3039957883304339e+06 6.2664292101794546e+06 6.2244029435938857e+06 6.1779652752377633e+06 6.1263160048719272e+06 6.0696273357671071e+06 6.0080304147343375e+06 5.9420083932011332e+06 5.8723833173887311e+06 5.8007198570300387e+06 5.7293484550472433e+06 5.6620746150829932e+06 5.6037037327394616e+06 5.5617405274735270e+06 5.5466475565510197e+06 5.5736237301260820e+06 5.6647928706571199e+06 5.8536806189664304e+06 6.1933603473836789e+06 6.7732461382823512e+06 9.1528500986780936e+05 +1.3499566522174668e+01 2.9228720159959342e+07 2.9225729630938236e+07 2.9220627933932569e+07 2.9213696606207374e+07 2.9206216452618346e+07 2.9200353855398506e+07 2.9197147487424072e+07 2.9194903547089309e+07 2.9191766493742798e+07 2.9187166851242851e+07 2.9181085077903736e+07 2.9173314837195784e+07 2.9163534756176747e+07 2.9151398871754982e+07 2.9136531176107552e+07 2.9118481326676991e+07 2.9096708323904626e+07 2.9070577743363045e+07 2.9039347992068611e+07 2.9002148989898432e+07 2.8957965880912054e+07 2.8905597933481116e+07 2.8843417577621710e+07 2.8768631135506310e+07 2.8678069599166039e+07 2.8570150506251734e+07 2.8443282773192141e+07 2.8294884583737370e+07 2.8121786647042848e+07 2.7920425039465003e+07 2.7686878401899915e+07 2.7416893739261564e+07 2.7105936967788778e+07 2.6749278985316265e+07 2.6342129092455633e+07 2.5879819946158163e+07 2.5358060506598264e+07 2.4773256070198100e+07 2.4122899697799046e+07 2.3406013446356006e+07 2.2562803174483828e+07 2.1648452329178188e+07 2.0671190447632387e+07 1.9643265493151311e+07 1.8580768374817196e+07 1.7502938489363987e+07 1.6430931045211798e+07 1.5386149639763661e+07 1.4388394385367624e+07 1.3454062946988171e+07 1.2594876881796410e+07 1.1817533873921335e+07 1.1123961461336473e+07 1.0511458606459904e+07 9.9743302107396796e+06 9.5053559337091371e+06 9.0965677791077197e+06 8.7402726576325763e+06 8.4293698255652096e+06 8.1579078375692572e+06 7.9205839901031880e+06 7.7132606782617243e+06 7.5321756180978324e+06 7.3746044725993024e+06 7.2378926609988390e+06 7.1198337024646308e+06 7.0187119033558276e+06 6.9327448988363883e+06 6.8602134354428248e+06 6.7998513121141614e+06 6.7501058079434428e+06 6.7098184507242758e+06 6.6776722756815469e+06 6.6525172292275298e+06 6.6328067192803081e+06 6.6170422517821910e+06 6.6040860126908170e+06 6.5928693022613414e+06 6.5823601395536857e+06 6.5749479068321586e+06 6.5674714422933096e+06 6.5598461880609803e+06 6.5518607397187203e+06 6.5436232974281609e+06 6.5348991885904530e+06 6.5259700368807418e+06 6.5160564008933855e+06 6.5054466170224901e+06 6.4939454342948059e+06 6.4814003851832533e+06 6.4676261970571913e+06 6.4524141557483589e+06 6.4354667823583158e+06 6.4168090278972583e+06 6.3957493420956805e+06 6.3721376426267801e+06 6.3456313151571183e+06 6.3158616540367436e+06 6.2824484289241824e+06 6.2450102556094620e+06 6.2031276412471887e+06 6.1568486877120528e+06 6.1053759575174274e+06 6.0488810534944376e+06 5.9874946742084529e+06 5.9216983196542403e+06 5.8523112262723241e+06 5.7808927156831427e+06 5.7097652689146819e+06 5.6427213640674045e+06 5.5845499970312240e+06 5.5427302248580474e+06 5.5276888468312854e+06 5.5545728154150127e+06 5.6454303344555944e+06 5.8336724543497376e+06 6.1721911455037761e+06 6.7500948436311623e+06 9.1175515512108116e+05 +1.3504534844948926e+01 2.9141934559134569e+07 2.9138952876282051e+07 2.9133866011614595e+07 2.9126954668413937e+07 2.9119495658620469e+07 2.9113648699941952e+07 2.9110449408013735e+07 2.9108209081793912e+07 2.9105077644283488e+07 2.9100487162563790e+07 2.9094417982899889e+07 2.9086664216118567e+07 2.9076905248955451e+07 2.9064795916420475e+07 2.9049961063311521e+07 2.9031951380654044e+07 2.9010227107889395e+07 2.8984155268875569e+07 2.8952995963479023e+07 2.8915881106910024e+07 2.8871798177363697e+07 2.8819549220746499e+07 2.8757510479256485e+07 2.8682894822679900e+07 2.8592540475555930e+07 2.8484868640536718e+07 2.8358292224843215e+07 2.8210235735683795e+07 2.8037537639376186e+07 2.7836642848762695e+07 2.7603639899643227e+07 2.7334286762688972e+07 2.7024061359310392e+07 2.6668247531470329e+07 2.6262068261222012e+07 2.5800870307546064e+07 2.5280376664012801e+07 2.4697005914314989e+07 2.4048262748794895e+07 2.3333178068648398e+07 2.2492118749451008e+07 2.1580140190882795e+07 2.0605460827366110e+07 1.9580306144591261e+07 1.8520732274781160e+07 1.7445931942678813e+07 1.6377003895032091e+07 1.5335289357700028e+07 1.4340525390794439e+07 1.3409051969264975e+07 1.2552543597165210e+07 1.1777664355298737e+07 1.1086322719302701e+07 1.0475814474893440e+07 9.9404529272066783e+06 9.4730333907744046e+06 9.0656082905977853e+06 8.7105060073045902e+06 8.4006468432424683e+06 8.1300976187164448e+06 7.8935724936720524e+06 7.6869472301407568e+06 7.5064719661204051e+06 7.3494313907200368e+06 7.2131798453795910e+06 7.0955182944936212e+06 6.9947368260774724e+06 6.9090591332711261e+06 6.8367717964833761e+06 6.7766128912929110e+06 6.7270349771811506e+06 6.6868834627082534e+06 6.6548458224240355e+06 6.6297758449271871e+06 6.6101321293036677e+06 6.5944212264615223e+06 6.5815091105472017e+06 6.5703306625328464e+06 6.5598573951634839e+06 6.5524704952123389e+06 6.5450195878318390e+06 6.5374204014659999e+06 6.5294622531317594e+06 6.5212529725680370e+06 6.5125586934310505e+06 6.5036600558094904e+06 6.4937803119172649e+06 6.4832068000037475e+06 6.4717449365832033e+06 6.4592427753586443e+06 6.4455156770821325e+06 6.4303556410936015e+06 6.4134662095999876e+06 6.3948722278533708e+06 6.3738845383181274e+06 6.3503535595026361e+06 6.3239378483563159e+06 6.2942699597008517e+06 6.2609709630736625e+06 6.2236607780789966e+06 6.1819213499537483e+06 6.1358005964665273e+06 6.0845038337932341e+06 6.0282020663311779e+06 5.9670255458501996e+06 5.9014541262733368e+06 5.8323042433691658e+06 5.7611298880028799e+06 5.6902456051042173e+06 5.6234308895717142e+06 5.5654583906682665e+06 5.5237815863256063e+06 5.5087916338227270e+06 5.5355836965029063e+06 5.6261306048715608e+06 5.8137291905923309e+06 6.1510906105287997e+06 6.7270186453075279e+06 9.0823854445038456e+05 +1.3509503167723185e+01 2.9055382973524243e+07 2.9052410102022041e+07 2.9047338035679284e+07 2.9040446633720748e+07 2.9033008713608079e+07 2.9027177357780918e+07 2.9023985131308991e+07 2.9021748419384923e+07 2.9018622594660737e+07 2.9014041263771281e+07 2.9007984661829092e+07 2.9000247346237302e+07 2.8990509462089702e+07 2.8978426641061720e+07 2.8963624579159856e+07 2.8945654999217842e+07 2.8923979377585188e+07 2.8897966183869217e+07 2.8866877207982127e+07 2.8829846356986925e+07 2.8785863439302143e+07 2.8733733273469098e+07 2.8671835907059316e+07 2.8597390745734379e+07 2.8507243234352600e+07 2.8399818234450247e+07 2.8273532635965399e+07 2.8125817257362906e+07 2.7953518307309933e+07 2.7753089517824408e+07 2.7520629299802270e+07 2.7251906566851445e+07 2.6942411219716795e+07 2.6587440015296999e+07 2.6182229584543496e+07 2.5722140752599645e+07 2.5202910507665429e+07 2.4620970679827731e+07 2.3973837547340475e+07 2.3260550815192390e+07 2.2421638013523050e+07 2.1512026711748969e+07 2.0539924224785566e+07 1.9517533568688277e+07 1.8460876138835821e+07 1.7389098064919323e+07 1.6323241746721335e+07 1.5284586186674068e+07 1.4292805563316477e+07 1.3364182338413727e+07 1.2510344127756398e+07 1.1737921548157923e+07 1.1048804116299571e+07 1.0440284496934185e+07 9.9066844149074778e+06 9.4408148261911832e+06 9.0347485403642692e+06 8.6808353601698056e+06 8.3720165809848532e+06 8.1023772397817522e+06 7.8666483118547136e+06 7.6607188870563889e+06 7.4808514876021035e+06 7.3243398011893835e+06 7.1885470635598451e+06 7.0712816608733879e+06 6.9708394446137659e+06 6.8854501465535387e+06 6.8134061623454671e+06 6.7534498306326708e+06 6.7040389743543305e+06 6.6640228706466928e+06 6.6320934192949431e+06 6.6071082390352739e+06 6.5875311037521530e+06 6.5718735932966620e+06 6.5590054581824988e+06 6.5478651488284208e+06 6.5374276604817491e+06 6.5300660111420359e+06 6.5226405780138401e+06 6.5150673749327296e+06 6.5071364380290871e+06 6.4989552278166404e+06 6.4902906815850753e+06 6.4814224590965724e+06 6.4715764973330889e+06 6.4610391396872252e+06 6.4496164680018723e+06 6.4371570555150136e+06 6.4234768942955993e+06 6.4083686948971394e+06 6.3915370172784794e+06 6.3730066013912428e+06 6.3520906745277718e+06 6.3286401544683352e+06 6.3023147656436106e+06 6.2727483192516593e+06 6.2395631804931033e+06 6.2023805685617337e+06 6.1607838620849056e+06 6.1148207954154862e+06 6.0636994293390997e+06 6.0075901718092402e+06 5.9466228292454761e+06 5.8812756148443194e+06 5.8123621727907471e+06 5.7414311804817822e+06 5.6707892724971166e+06 5.6042030027241437e+06 5.5464287267266707e+06 5.5048944263539426e+06 5.4899557325068675e+06 5.5166561874601645e+06 5.6068934929354498e+06 5.7938506324221995e+06 6.1300585358733544e+06 6.7040173173814323e+06 9.0473512989625195e+05 +1.3514471490497444e+01 2.8969064851228096e+07 2.8966100706072528e+07 2.8961043470643666e+07 2.8954171971216802e+07 2.8946755083451994e+07 2.8940939295047618e+07 2.8937754123251453e+07 2.8935521025784038e+07 2.8932400810778983e+07 2.8927828620736804e+07 2.8921784580524884e+07 2.8914063693379980e+07 2.8904346861402825e+07 2.8892290511465024e+07 2.8877521189453516e+07 2.8859591648166589e+07 2.8837964598757256e+07 2.8812009954114370e+07 2.8780991191361185e+07 2.8744044205982454e+07 2.8700161132621016e+07 2.8648149557613280e+07 2.8586393327069484e+07 2.8512118370756194e+07 2.8422177341815758e+07 2.8314998754374497e+07 2.8189003473120127e+07 2.8041628615571901e+07 2.7869728117960863e+07 2.7669764514116950e+07 2.7437846070259538e+07 2.7169752620207928e+07 2.6860986018181607e+07 2.6506855906864449e+07 2.6102612533647958e+07 2.5643630753970396e+07 2.5125661512022302e+07 2.4545149843521759e+07 2.3899623573047839e+07 2.3188131169210017e+07 2.2351360454718564e+07 2.1444111385831140e+07 2.0474580141272560e+07 1.9454947275783453e+07 1.8401199487983700e+07 1.7332436389410045e+07 1.6269644147656176e+07 1.5234039689543143e+07 1.4245234482406603e+07 1.3319453651231535e+07 1.2468278087935789e+07 1.1698305084172860e+07 1.1011405300697353e+07 1.0404868336608723e+07 9.8730243522900883e+06 9.4086999315762296e+06 9.0039882318416461e+06 8.6512604301905409e+06 8.3434787620908264e+06 8.0747464323078981e+06 7.8398111834534304e+06 7.6345753941739751e+06 7.4553139332857169e+06 7.2993294596144073e+06 7.1639940753620574e+06 7.0471235650694529e+06 6.9470195255553788e+06 6.8619177079264121e+06 6.7901163045054814e+06 6.7303619034942081e+06 6.6811175743743544e+06 6.6412364507042579e+06 6.6094148434664616e+06 6.5845141895373156e+06 6.5650034212246621e+06 6.5493991313996967e+06 6.5365748351412592e+06 6.5254725410604011e+06 6.5150707157659093e+06 6.5077342351246700e+06 6.5003341935895402e+06 6.4927868894784506e+06 6.4848830756930718e+06 6.4767298447364792e+06 6.4680949348893864e+06 6.4592570288819326e+06 6.4494447396125998e+06 6.4389434189056009e+06 6.4275598117592921e+06 6.4151430092717409e+06 6.4015096327911252e+06 6.3864531017571297e+06 6.3696789905672101e+06 6.3512119343032567e+06 6.3303675372197498e+06 6.3069972148031341e+06 6.2807618551733037e+06 6.2512965218362119e+06 6.2182248714465564e+06 6.1811694185738452e+06 6.1397149705578573e+06 6.0939090790283568e+06 6.0429625403358517e+06 5.9870451679941956e+06 5.9262863245115848e+06 5.8611625876848064e+06 5.7924848191716792e+06 5.7217964001447055e+06 5.6513960804862035e+06 5.5850375151549578e+06 5.5274608187718820e+06 5.4860685599076459e+06 5.4711809583476437e+06 5.4977901028647730e+06 5.5877188101868378e+06 5.7740365850928612e+06 6.1090947154903254e+06 6.6810906344993627e+06 9.0124486366472673e+05 +1.3519439813271703e+01 2.8882979767944016e+07 2.8880024200475357e+07 2.8874981786174323e+07 2.8868130149585802e+07 2.8860734234975927e+07 2.8854933978653681e+07 2.8851755850630671e+07 2.8849526367685832e+07 2.8846411759316865e+07 2.8841848700143758e+07 2.8835817205639806e+07 2.8828112724172540e+07 2.8818416913442630e+07 2.8806386994249403e+07 2.8791650360789787e+07 2.8773760794102784e+07 2.8752182237999845e+07 2.8726286046239477e+07 2.8695337380269773e+07 2.8658474120596405e+07 2.8614690724036962e+07 2.8562797539949052e+07 2.8501182206122503e+07 2.8427077164735090e+07 2.8337342265024733e+07 2.8230409667569909e+07 2.8104704203703493e+07 2.7957669277979955e+07 2.7786166539221879e+07 2.7586667305970989e+07 2.7355289679802325e+07 2.7087824392121602e+07 2.6779785224781953e+07 2.6426494677191921e+07 2.6023216580665193e+07 2.5565339785239946e+07 2.5048629152493339e+07 2.4469542883073956e+07 2.3825620306489713e+07 2.3115918614864271e+07 2.2281285562034175e+07 2.1376393708123423e+07 2.0409428079256505e+07 1.9392546777266864e+07 1.8341701844232969e+07 1.7275946450543139e+07 1.6216210646211654e+07 1.5183649430145718e+07 1.4197811728527516e+07 1.3274865505484860e+07 1.2426345093009772e+07 1.1658814595982244e+07 1.0974125921722345e+07 1.0369565658776823e+07 9.8394724186682384e+06 9.3766883993531596e+06 8.9733270692368746e+06 8.6217809320794772e+06 8.3150331105978191e+06 8.0472049285511542e+06 7.8130608479601787e+06 7.6085164973384952e+06 7.4298590545703564e+06 7.2744001222404074e+06 7.1395206412354587e+06 7.0230437711735256e+06 6.9232768361146571e+06 6.8384615872478979e+06 6.7669019950642977e+06 6.7073488838331755e+06 6.6582705527418386e+06 6.6185239796468383e+06 6.5868098727117814e+06 6.5619934749919167e+06 6.5425488609218355e+06 6.5269976204831982e+06 6.5142170215517553e+06 6.5031526197277885e+06 6.4927863418686390e+06 6.4854749482624494e+06 6.4781002159021525e+06 6.4705787266962910e+06 6.4627019479873050e+06 6.4545766054540463e+06 6.4459712357758805e+06 6.4371635478899917e+06 6.4273848218140397e+06 6.4169194210630301e+06 6.4055747516473960e+06 6.3932004208476534e+06 6.3796136772322180e+06 6.3646086468390943e+06 6.3478919151993562e+06 6.3294880129417889e+06 6.3087149134508744e+06 6.2854245283548543e+06 6.2592789056815831e+06 6.2299143571840813e+06 6.1969558267751560e+06 6.1600271201956999e+06 6.1187144688508175e+06 6.0730652423158428e+06 6.0222929635177283e+06 5.9665668534996333e+06 5.9060158323030490e+06 5.8411148476373535e+06 5.7726719876594897e+06 5.7022253545184294e+06 5.6320658389651626e+06 5.5659342389889127e+06 5.5085544808789091e+06 5.4673038024460962e+06 5.4524671273084665e+06 5.4789852577811172e+06 5.5686063686611922e+06 5.7542868543826351e+06 6.0881989438751647e+06 6.6582383719313545e+06 8.9776769812682841e+05 +1.3524408136045961e+01 2.8797127082283705e+07 2.8794180137014881e+07 2.8789152451537210e+07 2.8782320636504307e+07 2.8774945635944750e+07 2.8769160876382671e+07 2.8765989780991852e+07 2.8763763912623491e+07 2.8760654907804705e+07 2.8756100969447866e+07 2.8750082004625630e+07 2.8742393906066023e+07 2.8732719085684061e+07 2.8720715556808546e+07 2.8706011560559995e+07 2.8688161904423561e+07 2.8666631762736022e+07 2.8640793927690376e+07 2.8609915242183272e+07 2.8573135568309590e+07 2.8529451681119971e+07 2.8477676688075431e+07 2.8416202011914618e+07 2.8342266595410384e+07 2.8252737471889846e+07 2.8146050442050695e+07 2.8020634295991816e+07 2.7873938713067096e+07 2.7702833039911527e+07 2.7503797362512544e+07 2.7272959598031778e+07 2.7006121352757748e+07 2.6698808310434256e+07 2.6346355798085947e+07 2.5944041198553775e+07 2.5487267320851598e+07 2.4971812905364588e+07 2.4394149277076323e+07 2.3751827229170427e+07 2.3043912637256388e+07 2.2211412825392101e+07 2.1308873174623240e+07 2.0344467542158358e+07 1.9330331585515633e+07 1.8282382730622996e+07 1.7219627783704389e+07 1.6162940791805254e+07 1.5133414973368753e+07 1.4150536883107392e+07 1.3230417499919359e+07 1.2384544759244556e+07 1.1619449717106763e+07 1.0936965629510870e+07 1.0334376129189575e+07 9.8060282941783071e+06 9.3447799227405488e+06 8.9427647575306166e+06 8.5923965812941082e+06 8.2866793512518713e+06 8.0197524614651687e+06 7.7863970455468744e+06 7.5825419430604773e+06 7.4044866035238756e+06 7.2495515459580515e+06 7.1151265222824793e+06 6.9990420439114729e+06 6.8996111441143928e+06 6.8150815549878832e+06 6.7437630067254025e+06 6.6844105462183934e+06 6.6354976855572220e+06 6.5958852348252404e+06 6.5642782853939440e+06 6.5395458745530332e+06 6.5201672026275191e+06 6.5046688408284206e+06 6.4919317981240256e+06 6.4809051659154566e+06 6.4705743202225035e+06 6.4632879322245419e+06 6.4559384268881036e+06 6.4484426687680734e+06 6.4405928373537548e+06 6.4324952926999023e+06 6.4239193672461705e+06 6.4151417994312681e+06 6.4053965275652390e+06 6.3949669301391942e+06 6.3836610720357364e+06 6.3713290750170825e+06 6.3577888128631478e+06 6.3428351159007652e+06 6.3261755774872676e+06 6.3078346242387705e+06 6.2871325908471923e+06 6.2639218835303439e+06 6.2378657064599842e+06 6.2086016155678444e+06 6.1757558378628986e+06 6.1389534660609961e+06 6.0977821509877695e+06 6.0522890808379045e+06 6.0016904961466594e+06 5.9461550274634389e+06 5.8858111538031762e+06 5.8211321980665606e+06 5.7529234839307675e+06 5.6827178516454501e+06 5.6127983583428282e+06 5.5468929868674334e+06 5.4897095276024118e+06 5.4485999699234078e+06 5.4338140558418594e+06 5.4602414677682407e+06 5.5495559809096260e+06 5.7346012465778850e+06 6.0673710160882855e+06 6.6354603055351377e+06 8.9430358581802051e+05 +1.3529376458820220e+01 2.8711506201554094e+07 2.8708567923113413e+07 2.8703554934026789e+07 2.8696742899007689e+07 2.8689388754979070e+07 2.8683619456765775e+07 2.8680455382726796e+07 2.8678233128970362e+07 2.8675129724572312e+07 2.8670584896978933e+07 2.8664578445771802e+07 2.8656906707326148e+07 2.8647252846392624e+07 2.8635275667399939e+07 2.8620604257036634e+07 2.8602794447391462e+07 2.8581312641220797e+07 2.8555533066731740e+07 2.8524724245365743e+07 2.8488028017437764e+07 2.8444443472188104e+07 2.8392786470416781e+07 2.8331452212916825e+07 2.8257686131405938e+07 2.8168362431108736e+07 2.8061920546734236e+07 2.7936793219067607e+07 2.7790436390147511e+07 2.7619727089645278e+07 2.7421154153750576e+07 2.7190855295435339e+07 2.6924642973200083e+07 2.6618054746950600e+07 2.6266438742287405e+07 2.5865085861248620e+07 2.5409412836168725e+07 2.4895212247833006e+07 2.4318968505066309e+07 2.3678243823497470e+07 2.2972112722440485e+07 2.2141741735750750e+07 2.1241549282282874e+07 2.0279698034352802e+07 1.9268301213912163e+07 1.8223241671167988e+07 1.7163479925299332e+07 1.6109834134832181e+07 1.5083335885046024e+07 1.4103409528578518e+07 1.3186109234213976e+07 1.2342876703831621e+07 1.1580210081990292e+07 1.0899924075070890e+07 1.0299299414410835e+07 9.7726916597643010e+06 9.3129741957424022e+06 8.9123010024655052e+06 8.5631070940383133e+06 8.2584172095306525e+06 7.9923887647048822e+06 7.7598195170818921e+06 7.5566514785188111e+06 7.3791963328614319e+06 7.2247834883137178e+06 7.0908114802286923e+06 6.9751181486197319e+06 6.8760222179937810e+06 6.7917773822237384e+06 6.7206991127943108e+06 6.6615466658122726e+06 6.6127987495346414e+06 6.5733199941928461e+06 6.5418198604657315e+06 6.5171711679672692e+06 6.4978582267153552e+06 6.4824125733223166e+06 6.4697189461647132e+06 6.4587299612873979e+06 6.4484344328370411e+06 6.4411729692787593e+06 6.4338486090413500e+06 6.4263784984483542e+06 6.4185555268127909e+06 6.4104856897589909e+06 6.4019391128958976e+06 6.3931915673734667e+06 6.3834796410744498e+06 6.3730857307005879e+06 6.3618185578643447e+06 6.3495287571435450e+06 6.3360348254962014e+06 6.3211322952550054e+06 6.3045297643054640e+06 6.2862515556912189e+06 6.2656203576064836e+06 6.2424890693105152e+06 6.2165220473537892e+06 6.1873580878369147e+06 6.1546246966631459e+06 6.1179482493542340e+06 6.0769178115301738e+06 6.0315803906981200e+06 5.9811549360383926e+06 5.9258094895715807e+06 5.8656720907224109e+06 5.8012144428684376e+06 5.7332391141738240e+06 5.6632737000857359e+06 5.5935934495331524e+06 5.5279135719103338e+06 5.4709257740065549e+06 5.4299568787806723e+06 5.4152215608876003e+06 5.4415585488722976e+06 5.5305674599700579e+06 5.7149795684901690e+06 6.0466107277180441e+06 6.6127562117722603e+06 8.9085247943768371e+05 +1.3534344781594479e+01 2.8626116837407187e+07 2.8623187035575002e+07 2.8618188707287088e+07 2.8611396404265996e+07 2.8604063061444215e+07 2.8598309189151954e+07 2.8595152125015251e+07 2.8592933485830020e+07 2.8589835678749494e+07 2.8585299951851383e+07 2.8579305998190902e+07 2.8571650597004186e+07 2.8562017664586242e+07 2.8550066795082111e+07 2.8535427919242494e+07 2.8517657892036323e+07 2.8496224342533235e+07 2.8470502932442583e+07 2.8439763858951971e+07 2.8403150937144734e+07 2.8359665566478588e+07 2.8308126356252860e+07 2.8246932278485999e+07 2.8173335242164720e+07 2.8084216612302132e+07 2.7978019451348536e+07 2.7853180442866098e+07 2.7707161779424578e+07 2.7536848158921771e+07 2.7338737150570195e+07 2.7108976243342787e+07 2.6843388725376695e+07 2.6537524006978892e+07 2.6186742983419526e+07 2.5786350043517124e+07 2.5331775807443861e+07 2.4818826658023443e+07 2.4244000047478344e+07 2.3604869572841924e+07 2.2900518357426498e+07 2.2072271784962837e+07 2.1174421529043019e+07 2.0215119061239462e+07 1.9206455176807445e+07 1.8164278190917689e+07 1.7107502412710652e+07 1.6056890226700122e+07 1.5033411732030736e+07 1.4056429248351132e+07 1.3141940309040219e+07 1.2301340544893630e+07 1.1541095325978408e+07 1.0863000910297064e+07 1.0264335181892334e+07 9.7394621972010229e+06 9.2812709131664056e+06 8.8819355105467420e+06 8.5339121872678958e+06 8.2302464116339618e+06 7.9651135726334769e+06 7.7333280041036326e+06 7.5308448515718952e+06 7.3539879959533475e+06 7.2000957074924530e+06 7.0665752774300333e+06 6.9512718512748247e+06 6.8525098268191107e+06 6.7685488406496495e+06 6.6977100871817656e+06 6.6387570183844846e+06 6.5901735219547385e+06 6.5508280362879178e+06 6.5194343774675680e+06 6.4948691355737513e+06 6.4756217141377097e+06 6.4602285994234951e+06 6.4475782475575982e+06 6.4366267880967725e+06 6.4263664623123882e+06 6.4191298422661424e+06 6.4118305454612747e+06 6.4043859990799241e+06 6.3965897999772588e+06 6.3885475805155179e+06 6.3800302568869404e+06 6.3713126361904889e+06 6.3616339471401200e+06 6.3512756078881342e+06 6.3400469946417538e+06 6.3277992531583896e+06 6.3143515015182840e+06 6.2994999717845460e+06 6.2829542631070213e+06 6.2647385953618130e+06 6.2441780024905000e+06 6.2211258752319487e+06 6.1952477187893046e+06 6.1661835653812662e+06 6.1335621956723277e+06 6.0970112638182761e+06 6.0561212456206288e+06 6.0109389685536297e+06 5.9606860815415513e+06 5.9055300400403794e+06 5.8455984453102667e+06 5.7813613864610987e+06 5.7136186850972380e+06 5.6438927089033928e+06 5.5744509239516929e+06 5.5089958077565022e+06 5.4522030356414029e+06 5.4113743459529895e+06 5.3966894598805811e+06 5.4229363176411372e+06 5.5116406193852657e+06 5.6954216274427809e+06 6.0259178749129837e+06 6.5901258676970107e+06 8.8741433184858772e+05 +1.3539313104368738e+01 2.8540958162706349e+07 2.8538037004284959e+07 2.8533053255051974e+07 2.8526280620457333e+07 2.8518968025401574e+07 2.8513229543651056e+07 2.8510079477918588e+07 2.8507864453257725e+07 2.8504772240332764e+07 2.8500245604005162e+07 2.8494264131781626e+07 2.8486625045026675e+07 2.8477013010197923e+07 2.8465088409732487e+07 2.8450482017067388e+07 2.8432751708247792e+07 2.8411366336537682e+07 2.8385702994731210e+07 2.8355033552863289e+07 2.8318503797396332e+07 2.8275117433980554e+07 2.8223695815612737e+07 2.8162641678806223e+07 2.8089213397938658e+07 2.8000299485839050e+07 2.7894346626454521e+07 2.7769795438132033e+07 2.7624114351884592e+07 2.7454195719059929e+07 2.7256545824638866e+07 2.7027321913938448e+07 2.6762358082061324e+07 2.6457215564081855e+07 2.6107267995914686e+07 2.5707833221025959e+07 2.5254355711831778e+07 2.4742655614940509e+07 2.4169243385712821e+07 2.3531703961547669e+07 2.2829129030178986e+07 2.2003002465869326e+07 2.1107489413844489e+07 2.0150730129177988e+07 1.9144792989601735e+07 1.8105491815911535e+07 1.7051694784381028e+07 1.6004108619849129e+07 1.4983642082196580e+07 1.4009595626835581e+07 1.3097910326028489e+07 1.2259935901524980e+07 1.1502105085344693e+07 1.0826195787963143e+07 1.0229483099916959e+07 9.7063395890894458e+06 9.2496697706088517e+06 8.8516679890657030e+06 8.5048115786590595e+06 8.2021666844733674e+06 7.9379266203085277e+06 7.7069222488455661e+06 7.5051218107266454e+06 7.3288613468251936e+06 7.1754879623125130e+06 7.0424176768836938e+06 6.9275029184672330e+06 6.8290737402635608e+06 6.7453957025621254e+06 6.6747957044069786e+06 6.6160413802900594e+06 6.5676217807185026e+06 6.5284091402492383e+06 6.4971216165369190e+06 6.4726395582880629e+06 6.4534574464399982e+06 6.4381167011885922e+06 6.4255094847673113e+06 6.4145954291783823e+06 6.4043701918258378e+06 6.3971583345990740e+06 6.3898840198073359e+06 6.3824649545840519e+06 6.3746954410209982e+06 6.3666807494181963e+06 6.3581925839527631e+06 6.3495047909070309e+06 6.3398592311091088e+06 6.3295363474049857e+06 6.3183461684787227e+06 6.3061403495655721e+06 6.2927386278856331e+06 6.2779379329521861e+06 6.2614488619078323e+06 6.2432955318795796e+06 6.2228053148191087e+06 6.1998320913947588e+06 6.1740425117377406e+06 6.1450778401565710e+06 6.1125681279517189e+06 6.0761423037373852e+06 6.0353922489123093e+06 5.9903646115913801e+06 5.9402837315416671e+06 5.8853164796161400e+06 5.8255900203317534e+06 5.7615728337829821e+06 5.6940620039279433e+06 5.6245746876753597e+06 5.5553705935190488e+06 5.4901395085330997e+06 5.4335411285547437e+06 5.3928521888590399e+06 5.3782175707281036e+06 5.4043745911068749e+06 5.4927752731911950e+06 5.6759272312762840e+06 6.0052922543628188e+06 6.5675690509593729e+06 8.8398909607636288e+05 +1.3544281427142996e+01 2.8456029754952498e+07 2.8453117250831664e+07 2.8448148051651862e+07 2.8441395017497707e+07 2.8434103117607519e+07 2.8428379991174098e+07 2.8425236912207875e+07 2.8423025501999848e+07 2.8419938880062401e+07 2.8415421324201155e+07 2.8409452317318812e+07 2.8401829522119820e+07 2.8392238353899132e+07 2.8380339982050754e+07 2.8365766021229532e+07 2.8348075366719030e+07 2.8326738093943756e+07 2.8301132724309493e+07 2.8270532797838002e+07 2.8234086068970677e+07 2.8190798545560822e+07 2.8139494319432173e+07 2.8078579884809982e+07 2.8005320069840968e+07 2.7916610522952229e+07 2.7810901543447815e+07 2.7686637676476937e+07 2.7541293579397488e+07 2.7371769242199220e+07 2.7174579648553293e+07 2.6945891780277856e+07 2.6681550516914625e+07 2.6377128892651360e+07 2.6028013255167272e+07 2.5629534870299008e+07 2.5177152027390603e+07 2.4666698598546453e+07 2.4094698002007663e+07 2.3458746474813789e+07 2.2757944229585633e+07 2.1933933272279620e+07 2.1040752436549257e+07 2.0086530745539643e+07 1.9083314168657880e+07 1.8046882073196810e+07 1.6996056579721846e+07 1.5951488867686413e+07 1.4934026504372260e+07 1.3962908249398967e+07 1.3054018887756905e+07 1.2218662393716466e+07 1.1463238997260215e+07 1.0789508361735528e+07 1.0194742837614994e+07 9.6733235188407153e+06 9.2181704644543175e+06 8.8214981460540667e+06 8.4758049866550062e+06 8.1741777556885248e+06 7.9108276434849463e+06 7.6806019942190014e+06 7.4794821051740218e+06 7.3038161401635762e+06 7.1509600122452313e+06 7.0183384422034854e+06 6.9038111174035566e+06 6.8057137286183005e+06 6.7223177408687714e+06 6.6519557395838639e+06 6.5933995284918509e+06 6.5451433043040307e+06 6.5060630857985672e+06 6.4748813583940277e+06 6.4504822176117590e+06 6.4313652057527602e+06 6.4160766612413870e+06 6.4035124408481400e+06 6.3926356679451913e+06 6.3824454051400265e+06 6.3752582302902369e+06 6.3680088163315095e+06 6.3606151494594961e+06 6.3528722347088540e+06 6.3448849815009618e+06 6.3364258794206781e+06 6.3277678171445541e+06 6.3181552789246850e+06 6.3078677355385032e+06 6.2967158660158571e+06 6.2845518334401920e+06 6.2711959921236234e+06 6.2564459667883515e+06 6.2400133492900273e+06 6.2219221544481274e+06 6.2015020844809199e+06 6.1786075084706107e+06 6.1529062177299820e+06 6.1240407046812521e+06 6.0916422871042443e+06 6.0553411639545718e+06 6.0147306176275490e+06 5.9698571175524089e+06 5.9199476854715152e+06 5.8651686095882589e+06 5.8056466190965921e+06 5.7418485902923131e+06 5.6745688784074364e+06 5.6053194464911781e+06 5.5363522706578868e+06 5.4713444888648735e+06 5.4149398692793259e+06 5.3743902254157979e+06 5.3598057118477272e+06 5.3858731867898451e+06 5.4739712359290142e+06 5.6564961883411109e+06 5.9847336632995624e+06 6.5450855398104480e+06 8.8057672530897695e+05 +1.3549249749917255e+01 2.8371331199871831e+07 2.8368427242224917e+07 2.8363472550860647e+07 2.8356739067074388e+07 2.8349467809491619e+07 2.8343760003353190e+07 2.8340623899566978e+07 2.8338416103701971e+07 2.8335335069606956e+07 2.8330826584032267e+07 2.8324870026326239e+07 2.8317263499808904e+07 2.8307693167253349e+07 2.8295820983562231e+07 2.8281279403199852e+07 2.8263628338988733e+07 2.8242339086294401e+07 2.8216791592752643e+07 2.8186261065479577e+07 2.8149897223505616e+07 2.8106708372857105e+07 2.8055521339471050e+07 2.7994746368342981e+07 2.7921654729771294e+07 2.7833149195713140e+07 2.7727683674557265e+07 2.7603706630339880e+07 2.7458698934665773e+07 2.7289568201378155e+07 2.7092838095699716e+07 2.6864685316247355e+07 2.6600965504460365e+07 2.6297263467978574e+07 2.5948978237407334e+07 2.5551454468818024e+07 2.5100164233069815e+07 2.4590955089656103e+07 2.4020363379623871e+07 2.3385996598813988e+07 2.2686963445509128e+07 2.1865063698969867e+07 2.0974210098046325e+07 2.0022520418668259e+07 1.9022018231359456e+07 1.7988448490848731e+07 1.6940587339180645e+07 1.5899030524647735e+07 1.4884564568417976e+07 1.3916366702399075e+07 1.3010265597776283e+07 1.2177519642416546e+07 1.1424496699806890e+07 1.0752938286130959e+07 1.0160114064968485e+07 9.6404136706869528e+06 9.1867726918817218e+06 8.7914256903221793e+06 8.4468921304110028e+06 8.1462793536283746e+06 7.8838163786328733e+06 7.6543669838132579e+06 7.4539254847623594e+06 7.2788521312838113e+06 7.1265116173928510e+06 6.9943373376518497e+06 6.8801962159264078e+06 6.7824295627842657e+06 6.6993147290799338e+06 6.6291899684289079e+06 6.5708312405456416e+06 6.5227378717904510e+06 6.4837896532519525e+06 6.4527133843425345e+06 6.4283968956444720e+06 6.4093447747859117e+06 6.3941082627991159e+06 6.3815868994256314e+06 6.3707472883928912e+06 6.3605918865832835e+06 6.3534293139138333e+06 6.3462047198561020e+06 6.3388363687711712e+06 6.3311199663753519e+06 6.3231600623686239e+06 6.3147299291773792e+06 6.3061015010724682e+06 6.2965218770966483e+06 6.2862695591506995e+06 6.2751558744979398e+06 6.2630334924164992e+06 6.2497233823295273e+06 6.2350238618832184e+06 6.2186475144042922e+06 6.2006182528189002e+06 6.1802681019246411e+06 6.1574519176745964e+06 6.1318386288599391e+06 6.1030719520177487e+06 6.0707844672979657e+06 6.0346076398586445e+06 5.9941361485237116e+06 5.9494162847095057e+06 5.8996777432892146e+06 5.8450862317667603e+06 5.7857680454225251e+06 5.7221884619747894e+06 5.6551391167844869e+06 5.5861267959452011e+06 5.5173957682980988e+06 5.4526105638740892e+06 5.3963990748474570e+06 5.3559882740184972e+06 5.3414537021226939e+06 5.3674319227016987e+06 5.4552283226320082e+06 5.6371283075032877e+06 5.9642418994958820e+06 6.5226751130845342e+06 8.7717717289621301e+05 +1.3554218072691514e+01 2.8286861885282274e+07 2.8283966422860440e+07 2.8279026213210769e+07 2.8272312242256079e+07 2.8265061573230796e+07 2.8259369052613318e+07 2.8256239912397668e+07 2.8254035730799548e+07 2.8250960281327512e+07 2.8246460855895739e+07 2.8240516731184490e+07 2.8232926450465236e+07 2.8223376922590688e+07 2.8211530886603914e+07 2.8197021635364980e+07 2.8179410097390447e+07 2.8158168785957959e+07 2.8132679072423939e+07 2.8102217828189056e+07 2.8065936733433906e+07 2.8022846388405986e+07 2.7971776348253209e+07 2.7911140602058727e+07 2.7838216850522771e+07 2.7749914977021746e+07 2.7644692492869262e+07 2.7521001773025479e+07 2.7376329891217072e+07 2.7207592070473634e+07 2.7011320640359204e+07 2.6783701996633917e+07 2.6520602520058207e+07 2.6217618766220044e+07 2.5870162419755902e+07 2.5473591494885679e+07 2.5023391808708556e+07 2.4515424570035145e+07 2.3946239002678212e+07 2.3313453820657171e+07 2.2616186168713965e+07 2.1796393241663005e+07 2.0907861900168605e+07 1.9958698657877225e+07 1.8960904696069047e+07 1.7930190597893976e+07 1.6885286604172900e+07 1.5846733146152915e+07 1.4835255845161093e+07 1.3869970573157640e+07 1.2966650060595229e+07 1.2136507269523438e+07 1.1385877831983719e+07 1.0716485216571068e+07 1.0125596452815669e+07 9.6076097296815068e+06 9.1554761508572958e+06 8.7614503314416390e+06 8.4180727298354860e+06 8.1184712073667441e+06 7.8568925628919816e+06 7.6282169618961737e+06 7.4284517000090610e+06 7.2539690761798238e+06 7.1021425384987025e+06 6.9704141280986452e+06 6.8566579824802773e+06 6.7592210142790563e+06 6.6763864413142186e+06 6.6064981672608098e+06 6.5483362946012300e+06 6.5004052628424373e+06 6.4615886235086340e+06 6.4306174762776289e+06 6.4063833750529094e+06 6.3873959368284727e+06 6.3722112896525031e+06 6.3597326447109710e+06 6.3489300750903096e+06 6.3388094210749362e+06 6.3316713706237357e+06 6.3244715157791348e+06 6.3171283981784321e+06 6.3094384219314530e+06 6.3015057781972252e+06 6.2931045196854146e+06 6.2845056294522723e+06 6.2749588126969207e+06 6.2647416056580553e+06 6.2536659817249347e+06 6.2415851147161098e+06 6.2283205871627880e+06 6.2136714073901819e+06 6.1973511469609961e+06 6.1793836173183043e+06 6.1591031581672430e+06 6.1363651107919915e+06 6.1108395377767766e+06 6.0821713757911976e+06 6.0499944632428670e+06 6.0139415273874225e+06 5.9736086389151122e+06 5.9290419118790776e+06 5.8794737054991042e+06 5.8250691484951470e+06 5.7659541036617579e+06 5.7025922553298296e+06 5.6357725278390339e+06 5.5669965471427916e+06 5.4985008998609260e+06 5.4339375491773766e+06 5.3779185627697278e+06 5.3376461535487883e+06 5.3231613609355325e+06 5.3490506173363505e+06 5.4365463488263069e+06 5.6178233981439490e+06 5.9438167612671377e+06 6.5003375502159959e+06 8.7379039234914340e+05 +1.3559186395465773e+01 2.8202621255701832e+07 2.8199734297956038e+07 2.8194808519911300e+07 2.8188114016393363e+07 2.8180883881808545e+07 2.8175206612149432e+07 2.8172084424041968e+07 2.8169883856543928e+07 2.8166813988498982e+07 2.8162323613019168e+07 2.8156391905120701e+07 2.8148817847267546e+07 2.8139289093089800e+07 2.8127469164342877e+07 2.8112992190855782e+07 2.8095420115077160e+07 2.8074226666087061e+07 2.8048794636508446e+07 2.8018402559190966e+07 2.7982204072024588e+07 2.7939212065495733e+07 2.7888258819190491e+07 2.7827762059430070e+07 2.7755005905663982e+07 2.7666907340610705e+07 2.7561927472272605e+07 2.7438522578610752e+07 2.7294185923445575e+07 2.7125840324173342e+07 2.6930026757642128e+07 2.6702941297013592e+07 2.6440461039953534e+07 2.6138194264377981e+07 2.5791565280213889e+07 2.5395945427735407e+07 2.4946834235045008e+07 2.4440106522333611e+07 2.3872324356204126e+07 2.3241117628395759e+07 2.2545611890972998e+07 2.1727921397035800e+07 2.0841707345733583e+07 1.9895064973533977e+07 1.8899973082144324e+07 1.7872107924417347e+07 1.6830153917150281e+07 1.5794596288643859e+07 1.4786099906427007e+07 1.3823719450006884e+07 1.2923171881669242e+07 1.2095624897826981e+07 1.1347382033662647e+07 1.0680148809321953e+07 1.0091189672822256e+07 9.5749113816774823e+06 9.1242805401326437e+06 8.7315717797325887e+06 8.3893465055725146e+06 8.0907530466813156e+06 7.8300559341127919e+06 7.6021516734118378e+06 7.4030605020794552e+06 7.2291667314704880e+06 7.0778525369467391e+06 6.9465685790536674e+06 6.8331961861405866e+06 6.7360878552175704e+06 6.6535326522887433e+06 6.5838801129942695e+06 6.5259144694021689e+06 6.4781452577231703e+06 6.4394597780531663e+06 6.4085934166697431e+06 6.3844414390964722e+06 6.3655184757571816e+06 6.3503855261692647e+06 6.3379494614858599e+06 6.3271838131900365e+06 6.3170977941057263e+06 6.3099841861531585e+06 6.3028089900805950e+06 6.2954910238974039e+06 6.2878273878551871e+06 6.2799219157421226e+06 6.2715494379868796e+06 6.2629799896138255e+06 6.2534658733810270e+06 6.2432836630638158e+06 6.2322459760675766e+06 6.2202064891174147e+06 6.2069873958575446e+06 6.1923883930467274e+06 6.1761240372380465e+06 6.1582180388288610e+06 6.1380070447692983e+06 6.1153468801625445e+06 6.0899087376913140e+06 6.0613387701729992e+06 6.0292720702039404e+06 5.9933426230218410e+06 5.9531478866415620e+06 5.9087337984210048e+06 5.8593353731295438e+06 5.8051171626535784e+06 5.7462045986915510e+06 5.6830597773777340e+06 5.6164689208409181e+06 5.5479285116850622e+06 5.4796674792758590e+06 5.4153252608848643e+06 5.3594981510602972e+06 5.3193636833765376e+06 5.3049285081380513e+06 5.3307290896822354e+06 5.4179251305347895e+06 5.5985812701438079e+06 5.9234580474751862e+06 6.4780726312313434e+06 8.7041633733961475e+05 +1.3564154718240031e+01 2.8118608757490627e+07 2.8115730308111209e+07 2.8110818957987566e+07 2.8104143862513978e+07 2.8096934209175114e+07 2.8091272155932419e+07 2.8088156908555418e+07 2.8085959955026172e+07 2.8082895665172402e+07 2.8078414329424296e+07 2.8072495022160858e+07 2.8064937164223962e+07 2.8055429152730677e+07 2.8043635290761400e+07 2.8029190543661375e+07 2.8011657866057929e+07 2.7990512200713586e+07 2.7965137759062145e+07 2.7934814732537366e+07 2.7898698713365734e+07 2.7855804878288601e+07 2.7804968226481147e+07 2.7744610214771938e+07 2.7672021369631018e+07 2.7584125761029836e+07 2.7479388087520320e+07 2.7356268522103161e+07 2.7212266506587215e+07 2.7044312438045822e+07 2.6848955923503555e+07 2.6622402693898749e+07 2.6360540541273825e+07 2.6058989440353245e+07 2.5713186297648244e+07 2.5318515747454636e+07 2.4870490993728593e+07 2.4365000430130616e+07 2.3798618926211011e+07 2.3168987510975495e+07 2.2475240104961757e+07 2.1659647662734333e+07 2.0775745938542202e+07 1.9831618876919143e+07 1.8839222909957383e+07 1.7814200001461063e+07 1.6775188821567530e+07 1.5742619509543359e+07 1.4737096325056998e+07 1.3777612922221703e+07 1.2879830667422174e+07 1.2054872151082736e+07 1.1309008945645172e+07 1.0643928721545372e+07 1.0056893397510348e+07 9.5423183133598156e+06 9.0931855592390150e+06 8.7017897462802585e+06 8.3607131790033607e+06 8.0631246020635888e+06 7.8033062308325553e+06 7.5761708639850495e+06 7.3777516428129589e+06 7.2044448544369126e+06 7.0536413747475427e+06 6.9228004566472620e+06 6.8098105965912184e+06 6.7130298583393907e+06 6.6307531373361144e+06 6.5613355831398936e+06 6.5035655442832503e+06 6.4559576372706071e+06 6.4174028989643315e+06 6.3866409885863420e+06 6.3625708716068612e+06 6.3437121760197217e+06 6.3286307573072286e+06 6.3162371351191616e+06 6.3055082884083046e+06 6.2954567917352850e+06 6.2883675468071019e+06 6.2812169293020237e+06 6.2739240327274743e+06 6.2662866512072012e+06 6.2584082623218885e+06 6.2500644716811376e+06 6.2415243694495456e+06 6.2320428473721286e+06 6.2218955199297909e+06 6.2108956464608088e+06 6.1988974049631115e+06 6.1857235982068870e+06 6.1711746091302549e+06 6.1549659760749657e+06 6.1371213087969311e+06 6.1169795538702551e+06 6.0943970186845828e+06 6.0690460223463969e+06 6.0405739298879253e+06 6.0086170839899424e+06 5.9728107237898465e+06 5.9327536900942624e+06 5.8884917442296324e+06 5.8392625477510905e+06 5.7852300776399150e+06 5.7265193359045796e+06 5.6635908356531570e+06 5.5972281055861451e+06 5.5289225016893335e+06 5.4608953209628686e+06 5.3967735156016145e+06 5.3411376582077174e+06 5.3011406833583796e+06 5.2867549640771421e+06 5.3124671592101185e+06 5.3993644842774300e+06 5.5794017339072181e+06 5.9031655575067736e+06 6.4558801367319897e+06 8.6705496169972525e+05 +1.3569123041014290e+01 2.8034823998756282e+07 2.8031953952186644e+07 2.8027057008800562e+07 2.8020401253552850e+07 2.8013212030077863e+07 2.8007565158686474e+07 2.8004456840864677e+07 2.8002263501172170e+07 2.7999204786235958e+07 2.7994732480010860e+07 2.7988825557121195e+07 2.7981283876181114e+07 2.7971796576355699e+07 2.7960028740663949e+07 2.7945616168604180e+07 2.7928122825165018e+07 2.7907024864656497e+07 2.7881707914920483e+07 2.7851453823123537e+07 2.7815420132396359e+07 2.7772624301775500e+07 2.7721904045195106e+07 2.7661684543204922e+07 2.7589262717655968e+07 2.7501569713720940e+07 2.7397073814209938e+07 2.7274239079265580e+07 2.7130571116688989e+07 2.6963007888491973e+07 2.6768107614784621e+07 2.6542085664619487e+07 2.6280840501973305e+07 2.5980003772934537e+07 2.5635024951842830e+07 2.5241301935058460e+07 2.4794361567346957e+07 2.4290105777917344e+07 2.3725122199581005e+07 2.3097062958332777e+07 2.2405070304313786e+07 2.1591571537378609e+07 2.0709977183372434e+07 1.9768359880322929e+07 1.8778653700850181e+07 1.7756466361117300e+07 1.6720390861848129e+07 1.5690802367292101e+07 1.4688244674829768e+07 1.3731650580071749e+07 1.2836626025222778e+07 1.2014248653956421e+07 1.1270758209644491e+07 1.0607824611285686e+07 1.0022707300225405e+07 9.5098302122167721e+06 9.0621909085011967e+06 8.6721039429400936e+06 8.3321724722199468e+06 8.0355856047219895e+06 7.7766431922880951e+06 7.5502742799119372e+06 7.3525248747024052e+06 7.1798032029975653e+06 7.0295088145545200e+06 6.8991095276336800e+06 6.7865009841346247e+06 6.6900467969759973e+06 6.6080476723644370e+06 6.5388643558014520e+06 6.4812892991722068e+06 6.4338421829236206e+06 6.3954177688929616e+06 6.3647599756567525e+06 6.3407714570015511e+06 6.3219768226421103e+06 6.3069467685864447e+06 6.2945954515482988e+06 6.2839032870512335e+06 6.2738862006002981e+06 6.2668212394679608e+06 6.2596951205697302e+06 6.2524272120346567e+06 6.2448159996120762e+06 6.2369646058331216e+06 6.2286494089518832e+06 6.2201385574238095e+06 6.2106895234478880e+06 6.2005769653793005e+06 6.1896147824110007e+06 6.1776576521641053e+06 6.1645289845574107e+06 6.1500298464928390e+06 6.1338767548714550e+06 6.1160932192248488e+06 6.0960204781467784e+06 6.0735153198073748e+06 6.0482511860664394e+06 6.0198766502134642e+06 5.9880293009646805e+06 5.9523456272629490e+06 5.9124258482082207e+06 5.8683155497315871e+06 5.8192550314599983e+06 5.7654076973852441e+06 5.7068981212304141e+06 5.6441852382098148e+06 5.5780498923739800e+06 5.5099783297723411e+06 5.4421842398532117e+06 5.3782821304219123e+06 5.3228369031953942e+06 5.2829769738294240e+06 5.2686405495801391e+06 5.2942646458676616e+06 5.3808642270528749e+06 5.5602846003359696e+06 5.8829390912998570e+06 6.4337598479280369e+06 8.6370621942130872e+05 +1.3574091363788549e+01 2.7951266432826471e+07 2.7948404741685823e+07 2.7943522135514811e+07 2.7936885663525663e+07 2.7929716820295569e+07 2.7924085096025530e+07 2.7920983696735609e+07 2.7918793970673267e+07 2.7915740827400092e+07 2.7911277540446080e+07 2.7905382985702597e+07 2.7897857458768934e+07 2.7888390839583971e+07 2.7876648989694841e+07 2.7862268541326534e+07 2.7844814467981391e+07 2.7823764133560833e+07 2.7798504579755060e+07 2.7768319306635559e+07 2.7732367804884892e+07 2.7689669811739400e+07 2.7639065751211710e+07 2.7578984520709239e+07 2.7506729425852958e+07 2.7419238674901161e+07 2.7314984128731657e+07 2.7192433726765152e+07 2.7049099230687674e+07 2.6881926152790222e+07 2.6687481309139933e+07 2.6461989687339932e+07 2.6201360400909614e+07 2.5901236741734535e+07 2.5557080723390896e+07 2.5164303472423829e+07 2.4718445439290889e+07 2.4215422051070552e+07 2.3651833664139323e+07 2.3025343461300697e+07 2.2335101983632140e+07 2.1523692520526323e+07 2.0644400585927155e+07 1.9705287497040626e+07 1.8718264977187246e+07 1.7698906536425244e+07 1.6665759583467279e+07 1.5639144421314197e+07 1.4639544530567523e+07 1.3685832014791187e+07 1.2793557563389873e+07 1.1973754032053068e+07 1.1232629468230834e+07 1.0571836137416961e+07 9.9886310551807135e+06 9.4774467665399164e+06 9.0312962890155111e+06 8.6425140822944790e+06 8.3037241080795238e+06 8.0081357865759498e+06 7.7500665583961569e+06 7.5244616681655804e+06 7.3273799508996904e+06 7.1552415357168335e+06 7.0054546196418060e+06 6.8754955593931424e+06 6.7632671196798822e+06 6.6671384450811557e+06 6.5854160339103853e+06 6.5164662096853843e+06 6.4590855145877050e+06 6.4117986766920080e+06 6.3735041710849302e+06 6.3429501621116046e+06 6.3190429802808315e+06 6.3003122012429545e+06 6.2853333461120548e+06 6.2730241972878780e+06 6.2623685959925726e+06 6.2523858079225337e+06 6.2453450515754698e+06 6.2382433515683291e+06 6.2310003497596048e+06 6.2234152212695861e+06 6.2155907347428882e+06 6.2073040385407507e+06 6.1988223425761675e+06 6.1894056909652324e+06 6.1793277891195947e+06 6.1684031739815883e+06 6.1564870211951071e+06 6.1434033458368843e+06 6.1289538965471592e+06 6.1128561655872436e+06 6.0951335626754472e+06 6.0751296108509107e+06 6.0527015775407422e+06 6.0275240237107463e+06 5.9992467269755602e+06 5.9675085180303752e+06 5.9319471315621948e+06 5.8921641604486061e+06 5.8482050158908963e+06 5.7993126268831110e+06 5.7456498263467122e+06 5.6873407611017684e+06 5.6248427936152779e+06 5.5589340920184897e+06 5.4910958090513526e+06 5.4235340513552586e+06 5.3598509229280017e+06 5.3045957054875009e+06 5.2648723756076321e+06 5.2505850859362334e+06 5.2761213700878508e+06 5.3624241763689686e+06 5.5412296808450995e+06 5.8627784493269874e+06 6.4117115466016540e+06 8.6037006465541909e+05 +1.3579059686562807e+01 2.7867935347016808e+07 2.7865082161060851e+07 2.7860213802769355e+07 2.7853596568661995e+07 2.7846448056411143e+07 2.7840831444329068e+07 2.7837736952721115e+07 2.7835550840094637e+07 2.7832503265193626e+07 2.7828048987246804e+07 2.7822166784361236e+07 2.7814657388455547e+07 2.7805211418877400e+07 2.7793495514326923e+07 2.7779147138253972e+07 2.7761732271032993e+07 2.7740729483897466e+07 2.7715527230068624e+07 2.7685410659629274e+07 2.7649541207384501e+07 2.7606940884848543e+07 2.7556452821219474e+07 2.7496509624077450e+07 2.7424420971123278e+07 2.7337132121629480e+07 2.7233118508360703e+07 2.7110851942080572e+07 2.6967850326356452e+07 2.6801066709041696e+07 2.6607076485116474e+07 2.6382114241156250e+07 2.6122099717762254e+07 2.5822687827276807e+07 2.5479353093854196e+07 2.5087519842329558e+07 2.4642742093898032e+07 2.4140948735884186e+07 2.3578752808606755e+07 2.2953828511634987e+07 2.2265334638427194e+07 2.1456010112711404e+07 2.0579015652943414e+07 1.9642401241334550e+07 1.8658056262298498e+07 1.7641520061437901e+07 1.6611294532850036e+07 1.5587645232013771e+07 1.4590995468041105e+07 1.3640156818580298e+07 1.2750624891209567e+07 1.1933387911880691e+07 1.1194622364908956e+07 1.0535962959714223e+07 9.9546643374015074e+06 9.4451676654381398e+06 9.0005014026620481e+06 8.6130198777017072e+06 8.2753678101431336e+06 7.9807748802438257e+06 7.7235760697670756e+06 7.4987327763780132e+06 7.3023166252078954e+06 7.1307596118065855e+06 6.9814785539345872e+06 6.8519583199182553e+06 6.7401087747638673e+06 6.6443045772002209e+06 6.5628579990861416e+06 6.4941409240814690e+06 6.4369539716314804e+06 6.3898269011840364e+06 6.3516618893558942e+06 6.3212113327413313e+06 6.2973852270074319e+06 6.2787180979908165e+06 6.2637902765600048e+06 6.2515231594203403e+06 6.2409040026707724e+06 6.2309554014725862e+06 6.2239387711600522e+06 6.2168614105664492e+06 6.2096432344038822e+06 6.2020841049405318e+06 6.1942864380743476e+06 6.1860281497579804e+06 6.1775755145035060e+06 6.1681911398481261e+06 6.1581477814121405e+06 6.1472606118122377e+06 6.1353853030952392e+06 6.1223464735228373e+06 6.1079465512618609e+06 6.0919040007383451e+06 6.0742421322662411e+06 6.0543067457732204e+06 6.0319555864369636e+06 6.0068643306870777e+06 5.9786839565471811e+06 5.9470545326369330e+06 5.9116150353425583e+06 5.8719684268209040e+06 5.8281599442071300e+06 5.7794351371876337e+06 5.7259562695047902e+06 5.6678470624749931e+06 5.6055633109462289e+06 5.5398805158358766e+06 5.4722747531466130e+06 5.4049445713916970e+06 5.3414797112035686e+06 5.2864138850384969e+06 5.2468267099891622e+06 5.2325883949517719e+06 5.2580371527937353e+06 5.3440441502080243e+06 5.5222367873524567e+06 5.8426834325887486e+06 6.3897350151281422e+06 8.5704645171181730e+05 +1.3584028009337066e+01 2.7784830360040560e+07 2.7781985555100597e+07 2.7777131491025243e+07 2.7770533447493218e+07 2.7763405215917118e+07 2.7757803680851478e+07 2.7754716086234655e+07 2.7752533586832710e+07 2.7749491576959517e+07 2.7745046297731664e+07 2.7739176430437405e+07 2.7731683142566949e+07 2.7722257791537870e+07 2.7710567791806616e+07 2.7696251436684478e+07 2.7678875711583767e+07 2.7657920393002007e+07 2.7632775343195211e+07 2.7602727359463893e+07 2.7566939817286063e+07 2.7524436998541385e+07 2.7474064732786529e+07 2.7414259330987882e+07 2.7342336831256621e+07 2.7255249531843971e+07 2.7151476431210101e+07 2.7029493203530580e+07 2.6886823882267229e+07 2.6720429036172695e+07 2.6526892622102700e+07 2.6302458805953387e+07 2.6043057933099601e+07 2.5744356510947738e+07 2.5401841545605384e+07 2.5010950528430820e+07 2.4567251016458519e+07 2.4066685319581948e+07 2.3505879122673772e+07 2.2882517602067266e+07 2.2195767765173621e+07 2.1388523815433126e+07 2.0513821892096430e+07 1.9579700628414474e+07 1.8598027080516860e+07 1.7584306471242659e+07 1.6556995257450242e+07 1.5536304360829132e+07 1.4542597064025715e+07 1.3594624584624225e+07 1.2707827618894173e+07 1.1893149920913400e+07 1.1156736544077316e+07 1.0500204738813754e+07 9.9208068227551226e+06 9.4129925988263357e+06 8.9698059520986490e+06 8.5836210432665478e+06 8.2471033027015654e+06 7.9535026190584302e+06 7.6971714677014640e+06 7.4730873528652042e+06 7.2773346520962818e+06 7.1063571911117267e+06 6.9575803819651566e+06 6.8284975778313829e+06 6.7170257215171922e+06 6.6215449684871957e+06 6.5403733456181567e+06 6.4718882788739279e+06 6.4148944520009793e+06 6.3679266395841148e+06 6.3298907081099804e+06 6.2995432729354342e+06 6.2757979833318638e+06 6.2571942996456195e+06 6.2423173471732782e+06 6.2300921256091157e+06 6.2195092951053306e+06 6.2095947696051123e+06 6.2026021868053898e+06 6.1955490863945307e+06 6.1883556550493641e+06 6.1808224399577584e+06 6.1730515054299524e+06 6.1648215324830301e+06 6.1563978633683613e+06 6.1470456605730588e+06 6.1370367330697654e+06 6.1261868870957112e+06 6.1143522894549202e+06 6.1013581596632190e+06 6.0870076031706920e+06 6.0710200533979107e+06 6.0534187216721363e+06 6.0335516772732129e+06 6.0112771416136455e+06 5.9862719029654274e+06 5.9581881358478414e+06 5.9266671427826462e+06 5.8913491377994362e+06 5.8518384478790639e+06 5.8081801367209572e+06 5.7596223660512287e+06 5.7063268323616143e+06 5.6484168328368356e+06 5.5863465998034310e+06 5.5208889756520819e+06 5.4535149761850089e+06 5.3864156163667049e+06 5.3231683138045007e+06 5.2682912622809485e+06 5.2288397987573324e+06 5.2146502988774180e+06 5.2400118153779944e+06 5.3257239670527847e+06 5.5033057322839405e+06 5.8226538426238885e+06 6.3678300364623303e+06 8.5373533505845233e+05 +1.3588996332111325e+01 2.7701950932294473e+07 2.7699114454158425e+07 2.7694274690905720e+07 2.7687695779968806e+07 2.7680587777148001e+07 2.7675001283666223e+07 2.7671920575478747e+07 2.7669741689054348e+07 2.7666705240896195e+07 2.7662268950098146e+07 2.7656411402058441e+07 2.7648934199205972e+07 2.7639529435694698e+07 2.7627865300266583e+07 2.7613580914743975e+07 2.7596244267756883e+07 2.7575336338979181e+07 2.7550248397297557e+07 2.7520268884328358e+07 2.7484563112868689e+07 2.7442157631126925e+07 2.7391900964276910e+07 2.7332233119852126e+07 2.7260476484822992e+07 2.7173590384272732e+07 2.7070057376192007e+07 2.6948356990299094e+07 2.6806019377927542e+07 2.6640012614012361e+07 2.6446929200315870e+07 2.6223022862508263e+07 2.5964234528375581e+07 2.5666242274998266e+07 2.5324545561923541e+07 2.4934595015286341e+07 2.4491971693071522e+07 2.3992631290265430e+07 2.3433212096902486e+07 2.2811410226202365e+07 2.2126400861289833e+07 2.1321233131109856e+07 2.0448818812040318e+07 1.9517185174554471e+07 1.8538176957181249e+07 1.7527265301859722e+07 1.6502861305712851e+07 1.5485121370167471e+07 1.4494348896268290e+07 1.3549234907066306e+07 1.2665165357618237e+07 1.1853039687497469e+07 1.1118971651008334e+07 1.0464561136195935e+07 9.8870581879584920e+06 9.3809212574121021e+06 8.9392096407691762e+06 8.5543172938371208e+06 8.2189303107925728e+06 7.9263187370493067e+06 7.6708524941875217e+06 7.4475251466176389e+06 7.2524337866830025e+06 7.0820340341322515e+06 6.9337598689113781e+06 6.8051131023628553e+06 6.6940177326928498e+06 6.5988593946973868e+06 6.5179618518133415e+06 6.4497080545427073e+06 6.3929067379619218e+06 6.3460976756650545e+06 6.3081904123250274e+06 6.2779457686360339e+06 6.2542810359728048e+06 6.2357405935422163e+06 6.2209143457790632e+06 6.2087308840755420e+06 6.1981842618769081e+06 6.1883037012455892e+06 6.1813350876732180e+06 6.1743061684421822e+06 6.1671374013366913e+06 6.1596300162187517e+06 6.1518857269681888e+06 6.1436839771574223e+06 6.1352891798964776e+06 6.1259690441901200e+06 6.1159944354897160e+06 6.1051817915803110e+06 6.0933877724418053e+06 6.0804381968463985e+06 6.0661368453579927e+06 6.0502041172040598e+06 6.0326631251266822e+06 6.0128642002441762e+06 5.9906660387333659e+06 5.9657465370565336e+06 5.9377590623439876e+06 5.9063461470040400e+06 5.8711492386734523e+06 5.8317740246974267e+06 5.7882653959893025e+06 5.7398741176991034e+06 5.6867613209481630e+06 5.6290498801830616e+06 5.5671924702909691e+06 5.5019592837993726e+06 5.4348162927804040e+06 5.3679470031798789e+06 5.3049165497859586e+06 5.2502276581316246e+06 5.2109114641719665e+06 5.1967706204518955e+06 5.2220451797296368e+06 5.3074634458620949e+06 5.4844363285680851e+06 5.8026894815136921e+06 6.3459963941503363e+06 8.5043666932095983e+05 +1.3593964654885584e+01 2.7619296427039593e+07 2.7616468411506966e+07 2.7611642885975648e+07 2.7605083046243411e+07 2.7597995219321869e+07 2.7592423731723923e+07 2.7589349899524841e+07 2.7587174625795741e+07 2.7584143735984489e+07 2.7579716423290625e+07 2.7573871178191606e+07 2.7566410037318118e+07 2.7557025830248799e+07 2.7545387518626858e+07 2.7531135051343892e+07 2.7513837418460090e+07 2.7492976800790459e+07 2.7467945871353231e+07 2.7438034713229701e+07 2.7402410573185842e+07 2.7360102261730507e+07 2.7309960994885650e+07 2.7250430470020104e+07 2.7178839411231037e+07 2.7092154158504669e+07 2.6988860823084213e+07 2.6867442782381658e+07 2.6725436293589547e+07 2.6559816923207991e+07 2.6367185700850662e+07 2.6143805892454103e+07 2.5885628985868681e+07 2.5588344602546901e+07 2.5247464626963831e+07 2.4858452788329590e+07 2.4416903610800341e+07 2.3918786136978853e+07 2.3360751222791065e+07 2.2740505878647383e+07 2.2057233425140213e+07 2.1254137563164603e+07 2.0384005922394414e+07 1.9454854396931365e+07 1.8478505418586988e+07 1.7470396090370804e+07 1.6448892227076966e+07 1.5434095823427580e+07 1.4446250543508356e+07 1.3503987381001471e+07 1.2622637719503267e+07 1.1813056840953475e+07 1.1081327331883565e+07 1.0429031814244322e+07 9.8534181105347965e+06 9.3489533327260632e+06 8.9087121728831343e+06 8.5251083450350128e+06 8.1908485601574676e+06 7.8992229689625027e+06 7.6446188918849751e+06 7.4220459072599467e+06 7.2276137847332731e+06 7.0577899019877063e+06 6.9100167805704046e+06 6.7818046633759327e+06 6.6710845816442976e+06 6.5762476321913144e+06 6.4956232965886723e+06 6.4276000321517624e+06 6.3709906123877773e+06 6.3243397937697433e+06 6.2865607875627782e+06 6.2564186063781613e+06 6.2328341722302418e+06 6.2143567675723713e+06 6.1995810607640101e+06 6.1874392236257624e+06 6.1769286921458486e+06 6.1670819858762855e+06 6.1601372634862950e+06 6.1531324466800783e+06 6.1459882634728076e+06 6.1385066241879975e+06 6.1307888934196159e+06 6.1226152747928221e+06 6.1142492553895377e+06 6.1049610823089248e+06 6.0950206806146549e+06 6.0842451175890444e+06 6.0724915447629886e+06 6.0595863782390561e+06 6.0453340714662438e+06 6.0294559863358689e+06 6.0119751374045536e+06 5.9922441101495232e+06 5.9701220739987483e+06 5.9452880300152479e+06 5.9173965340489196e+06 5.8860913443748392e+06 5.8510151382469237e+06 5.8117749588969145e+06 5.7684155251137717e+06 5.7201901968680043e+06 5.6672595418113209e+06 5.6097460130225215e+06 5.5481007330218172e+06 5.4830912531077769e+06 5.4161785180584854e+06 5.3495385492362184e+06 5.2867242386893863e+06 5.2322228939903779e+06 5.1930415289631439e+06 5.1789491828970918e+06 5.2041370681980820e+06 5.2892624060902726e+06 5.4656283896338595e+06 5.7827901518562213e+06 6.3242338723085495e+06 8.4715040928214369e+05 +1.3598932977659842e+01 2.7536866614915002e+07 2.7534046938472949e+07 2.7529235547771588e+07 2.7522694726265486e+07 2.7515627022475485e+07 2.7510070504858028e+07 2.7507003538228568e+07 2.7504831876936231e+07 2.7501806542053819e+07 2.7497388197132450e+07 2.7491555238615945e+07 2.7484110136693560e+07 2.7474746454986326e+07 2.7463133926664773e+07 2.7448913326259516e+07 2.7431654643514156e+07 2.7410841258239035e+07 2.7385867245163765e+07 2.7356024326027859e+07 2.7320481678105522e+07 2.7278270370324604e+07 2.7228244304648094e+07 2.7168850861570273e+07 2.7097425090771310e+07 2.7010940334966172e+07 2.6907886252516318e+07 2.6786750060649253e+07 2.6645074110415768e+07 2.6479841445257429e+07 2.6287661605665740e+07 2.6064807378279999e+07 2.5807240788755618e+07 2.5510662977606986e+07 2.5170598225787222e+07 2.4782523333891183e+07 2.4342046257548962e+07 2.3845149349643636e+07 2.3288495992774330e+07 2.2669804054897528e+07 2.1988264956034884e+07 2.1187236615953788e+07 2.0319382733749121e+07 1.9392707813739270e+07 1.8419011992067989e+07 1.7413698374808714e+07 1.6395087571973331e+07 1.5383227285011388e+07 1.4398301585453618e+07 1.3458881602535719e+07 1.2580244317612875e+07 1.1773201011474757e+07 1.1043803233769676e+07 1.0393616436154494e+07 9.8198862688680701e+06 9.3170885170961283e+06 8.8783132534213476e+06 8.4959939131926224e+06 8.1628577772759302e+06 7.8722150502355304e+06 7.6184704041566839e+06 7.3966493851250624e+06 7.2028744026713856e+06 7.0336245564513570e+06 6.8863508833754463e+06 6.7585720313330982e+06 6.6482260423361734e+06 6.5537094579229010e+06 6.4733574594424386e+06 6.4055639933540029e+06 6.3491458587237494e+06 6.3026527788279541e+06 6.2650016199566070e+06 6.2349615732623963e+06 6.2114571799677433e+06 6.1930426102092406e+06 6.1783172810959881e+06 6.1662169336239006e+06 6.1557423756312225e+06 6.1459294135572305e+06 6.1390085045364443e+06 6.1320277116370173e+06 6.1249080322293816e+06 6.1174520548944548e+06 6.1097607960658604e+06 6.1016152169516897e+06 6.0932778816863718e+06 6.0840215670924000e+06 6.0741152609560890e+06 6.0633766579947639e+06 6.0516633996987678e+06 6.0388024975489406e+06 6.0245990756978942e+06 6.0087754555322938e+06 5.9913545538413096e+06 5.9716912029950898e+06 5.9496450441751722e+06 5.9248961794482842e+06 5.8971003495133882e+06 5.8659025345237693e+06 5.8309466373243229e+06 5.7918410526281642e+06 5.7486303277163031e+06 5.7005704088313542e+06 5.6478213020209763e+06 5.5905050403809762e+06 5.5290711991250236e+06 5.4642846969216205e+06 5.3976014676372092e+06 5.3311900724157076e+06 5.2685912005333044e+06 5.2142767917372892e+06 5.1752298163512228e+06 5.1611858099067695e+06 5.1862873036218481e+06 5.2711206676759217e+06 5.4468817294184109e+06 5.7629556567909783e+06 6.3025422556441752e+06 8.4387650988147082e+05 +1.3603901300434101e+01 2.7454661003164835e+07 2.7451849356626760e+07 2.7447052142085645e+07 2.7440530300372019e+07 2.7433482667616006e+07 2.7427941083743919e+07 2.7424880972338352e+07 2.7422712923113517e+07 2.7419693139736276e+07 2.7415283752260286e+07 2.7409463063948926e+07 2.7402033977915242e+07 2.7392690790486403e+07 2.7381104004963931e+07 2.7366915220068071e+07 2.7349695423488241e+07 2.7328929191921219e+07 2.7304011999377575e+07 2.7274237203403085e+07 2.7238775908397198e+07 2.7196661437670954e+07 2.7146750374438699e+07 2.7087493775526028e+07 2.7016233004514657e+07 2.6929948394919541e+07 2.6827133145939957e+07 2.6706278306786209e+07 2.6564932310405701e+07 2.6400085662530910e+07 2.6208356397547554e+07 2.5986026803338096e+07 2.5729069421074364e+07 2.5433196885062136e+07 2.5093945844293736e+07 2.4706806139191393e+07 2.4267399122175016e+07 2.3771720419116016e+07 2.3216445900191206e+07 2.2599304251365870e+07 2.1919494954213444e+07 2.1120529794790950e+07 2.0254948757687289e+07 1.9330744944159649e+07 1.8359696205893844e+07 1.7357171694209658e+07 1.6341446891847294e+07 1.5332515320292393e+07 1.4350501602816962e+07 1.3413917168691833e+07 1.2537984765954336e+07 1.1733471830204561e+07 1.1006399004632292e+07 1.0358314666035939e+07 9.7864623421587590e+06 9.2853265036294032e+06 8.8480125881419219e+06 8.4669737154259402e+06 8.1349576893463060e+06 7.8452947170185484e+06 7.5924067750280127e+06 7.3713353311882066e+06 7.1782153975647492e+06 7.0095377599277925e+06 6.8627619443671200e+06 6.7354149773262078e+06 6.6254418893422550e+06 6.5312446494488530e+06 6.4511641204677811e+06 6.3835997203902863e+06 6.3273722609976046e+06 6.2810364163492015e+06 6.2435126962183705e+06 6.2135744569665212e+06 6.1901498476261897e+06 6.1717979104981758e+06 6.1571227962942608e+06 6.1450638040014952e+06 6.1346251026144996e+06 6.1248457749056788e+06 6.1179486016829303e+06 6.1109917544060526e+06 6.1038964989466146e+06 6.0964660999225397e+06 6.0888012267710436e+06 6.0806835957649052e+06 6.0723748512136815e+06 6.0631502912756260e+06 6.0532779695761977e+06 6.0425762062291084e+06 6.0309031310784128e+06 6.0180863490467342e+06 6.0039316528072478e+06 5.9881623200959330e+06 5.9708011703290353e+06 5.9512052753329193e+06 5.9292347465674449e+06 5.9045707835042197e+06 5.8768703078351486e+06 5.8457795176069252e+06 5.8109435372638814e+06 5.7719721085688276e+06 5.7289096079548365e+06 5.6810145593755031e+06 5.6284464091671044e+06 5.5713267718049958e+06 5.5101036802373594e+06 5.4455394290847015e+06 5.3790849576220028e+06 5.3129013910896704e+06 5.2505172558296677e+06 5.1963891737297187e+06 5.1574761500199130e+06 5.1434803256491395e+06 5.1684957093118588e+06 5.2530380510412725e+06 5.4281961623578733e+06 5.7431857999831829e+06 6.2809213294415800e+06 8.4061492621456471e+05 +1.3608869623208360e+01 2.7372678676449530e+07 2.7369875289090216e+07 2.7365092148601774e+07 2.7358589249844842e+07 2.7351561636611238e+07 2.7346034949968491e+07 2.7342981683364090e+07 2.7340817245852225e+07 2.7337803010527786e+07 2.7333402570128825e+07 2.7327594135643758e+07 2.7320181042405460e+07 2.7310858318163577e+07 2.7299297234908227e+07 2.7285140214183029e+07 2.7267959239819597e+07 2.7247240083274242e+07 2.7222379615473684e+07 2.7192672826852337e+07 2.7157292745580669e+07 2.7115274945402037e+07 2.7065478685966820e+07 2.7006358693656452e+07 2.6935262634436019e+07 2.6849177820455313e+07 2.6746600985646822e+07 2.6626027003330674e+07 2.6485010376377802e+07 2.6320549058221404e+07 2.6129269560174968e+07 2.5907463651849128e+07 2.5651114367728088e+07 2.5355945810632076e+07 2.5017506969311260e+07 2.4631300692366470e+07 2.4192961694418240e+07 2.3698498837152053e+07 2.3144600439291317e+07 2.2529005965441942e+07 2.1850922920904055e+07 2.1054016605946153e+07 2.0190703506730404e+07 1.9268965308330204e+07 1.8300557589335684e+07 1.7300815588613633e+07 1.6287969739122896e+07 1.5281959495656546e+07 1.4302850177260365e+07 1.3369093677477175e+07 1.2495858679476861e+07 1.1693868929186495e+07 1.0969114293314755e+07 1.0323126168810086e+07 9.7531460104261059e+06 9.2536669862604979e+06 8.8178098835824225e+06 8.4380474695612937e+06 8.1071480242833570e+06 7.8184617061471296e+06 7.5664277492190944e+06 7.3461034970920337e+06 7.1536365271345088e+06 6.9855292754543154e+06 6.8392497312260941e+06 6.7123332730450248e+06 6.6027318978323778e+06 6.5088529849245343e+06 6.4290430603585336e+06 6.3617069960902585e+06 6.3056696038144426e+06 6.2594904924159171e+06 6.2220938036299134e+06 6.1922570457397662e+06 6.1689119642119724e+06 6.1506224580444554e+06 6.1359973964609597e+06 6.1239796252602385e+06 6.1135766639500652e+06 6.1038308611064740e+06 6.0969573463383783e+06 6.0900243666397883e+06 6.0829534555122172e+06 6.0755485514303874e+06 6.0679099779404337e+06 6.0598202039218582e+06 6.0515399569300301e+06 6.0423470481432211e+06 6.0325086000987077e+06 6.0218435562724108e+06 6.0102105332891038e+06 5.9974377275558822e+06 5.9833315980914617e+06 5.9676163758588554e+06 5.9503147832963225e+06 5.9307861242714217e+06 5.9088909790284112e+06 5.8843116408822462e+06 5.8567062086518239e+06 5.8257220943205534e+06 5.7910056399468733e+06 5.7521679299329165e+06 5.7092531705063377e+06 5.6615224548143344e+06 5.6091346713571232e+06 5.5522110173453316e+06 5.4911979884977397e+06 5.4268552639328418e+06 5.3606288046278246e+06 5.2946723241311135e+06 5.2325022255680813e+06 5.1785598628017949e+06 5.1397803541325144e+06 5.1258325547641935e+06 5.1507621090625962e+06 5.2350143770939820e+06 5.4095715033815103e+06 5.7234803856326481e+06 6.2593708795635868e+06 8.3736561353269988e+05 +1.3613837945982619e+01 2.7290919221752457e+07 2.7288124167857513e+07 2.7283355062970903e+07 2.7276871057153381e+07 2.7269863412188809e+07 2.7264351585953187e+07 2.7261305153681956e+07 2.7259144327501450e+07 2.7256135636714365e+07 2.7251744133015700e+07 2.7245947935927060e+07 2.7238550812423527e+07 2.7229248520285841e+07 2.7217713098771900e+07 2.7203587790865216e+07 2.7186445574730080e+07 2.7165773414597664e+07 2.7140969575728450e+07 2.7111330678718004e+07 2.7076031672066770e+07 2.7034110375978097e+07 2.6984428721746683e+07 2.6925445098622113e+07 2.6854513463272061e+07 2.6768628094514742e+07 2.6666289254787169e+07 2.6545995633678362e+07 2.6405307792038430e+07 2.6241231116403110e+07 2.6050400578036178e+07 2.5829117408883460e+07 2.5573375114454824e+07 2.5278909240968019e+07 2.4941281088488627e+07 2.4556006482371368e+07 2.4118733464908224e+07 2.3625484096412469e+07 2.3072959105278891e+07 2.2458908695436712e+07 2.1782548358202945e+07 2.0987696556654088e+07 2.0126646494379289e+07 1.9207368427398678e+07 1.8241595672693092e+07 1.7244629599040546e+07 1.6234655667205552e+07 1.5231559378463073e+07 1.4255346891442932e+07 1.3324410727858735e+07 1.2453865674052646e+07 1.1654391941375805e+07 1.0931948749556979e+07 1.0288050610284792e+07 9.7199369545320291e+06 9.2221096597145274e+06 8.7877048470357861e+06 8.4092148941952903e+06 8.0794285107228905e+06 7.7917157551689614e+06 7.5405330721182479e+06 7.3209536351364739e+06 7.1291375497427890e+06 6.9615988667035233e+06 6.8158140122477952e+06 6.6893266908079954e+06 6.5800958435864458e+06 6.4865342430942655e+06 6.4069940603778046e+06 6.3398856038510473e+06 6.2840376723675206e+06 6.2380147936911955e+06 6.2007447300484385e+06 6.1710091284028068e+06 6.1477433192979954e+06 6.1295160430294452e+06 6.1149408722513802e+06 6.1029641884651398e+06 6.0925968510580454e+06 6.0828844639045885e+06 6.0760345304891234e+06 6.0691253405574076e+06 6.0620786943970546e+06 6.0546992021313636e+06 6.0470868425481841e+06 6.0390248346707094e+06 6.0307729923817310e+06 6.0216116315352265e+06 6.0118069467037851e+06 6.0011785026876070e+06 5.9895854012725614e+06 5.9768564284534240e+06 5.9627987074188543e+06 5.9471374192185085e+06 5.9298951897290610e+06 5.9104335474531362e+06 5.8886135399539387e+06 5.8641185508134514e+06 5.8366078521386888e+06 5.8057300659000268e+06 5.7711327477917019e+06 5.7324283204743769e+06 5.6896608205844527e+06 5.6420939019888071e+06 5.5898858972128667e+06 5.5331575875677839e+06 5.4723539365530470e+06 5.4082320163166793e+06 5.3422328257582262e+06 5.2765026908894703e+06 5.2145459312235890e+06 5.1607886822749153e+06 5.1221422533323467e+06 5.1082423223662283e+06 5.1330863271271409e+06 5.2170494672216354e+06 5.3910075679265885e+06 5.7038392184599787e+06 6.2378906924399827e+06 8.3412852724229591e+05 +1.3618806268756877e+01 2.7209382339130241e+07 2.7206595430140786e+07 2.7201840375607938e+07 2.7195375205616001e+07 2.7188387477922503e+07 2.7182890474973623e+07 2.7179850866523053e+07 2.7177693651193283e+07 2.7174690501432046e+07 2.7170307924043085e+07 2.7164523947937697e+07 2.7157142771053977e+07 2.7147860879890978e+07 2.7136351079593081e+07 2.7122257433157783e+07 2.7105153911337819e+07 2.7084528668977655e+07 2.7059781363299005e+07 2.7030210242170613e+07 2.6994992171077397e+07 2.6953167212676097e+07 2.6903599965162218e+07 2.6844752473864049e+07 2.6773984974650372e+07 2.6688298700865526e+07 2.6586197437325206e+07 2.6466183682043694e+07 2.6325824041934699e+07 2.6162131321963049e+07 2.5971748936514329e+07 2.5750987560365524e+07 2.5495851147925235e+07 2.5202086663544256e+07 2.4865267690392736e+07 2.4480922999114506e+07 2.4044713925163515e+07 2.3552675690461684e+07 2.3001521394249540e+07 2.2389011940543685e+07 2.1714370769230518e+07 2.0921569155112065e+07 2.0062777235097814e+07 1.9145953823450092e+07 1.8182809987212684e+07 1.7188613267502904e+07 1.6181504230500294e+07 1.5181314537049871e+07 1.4207991328989064e+07 1.3279867919759560e+07 1.2412005366529429e+07 1.1615040500666795e+07 1.0894902023977920e+07 1.0253087657104777e+07 9.6868348561572265e+06 9.1906542194942553e+06 8.7576971865636501e+06 8.3804757086622948e+06 8.0517988780301483e+06 7.7650566023146976e+06 7.5147224898004970e+06 7.2958854982875595e+06 7.1047182243988616e+06 6.9377462979825726e+06 6.7924545563497683e+06 6.6663950035308991e+06 6.5575335029857559e+06 6.4642882033025967e+06 6.3850169023992727e+06 6.3181353276780667e+06 6.2624762524232315e+06 6.2166091074085245e+06 6.1794652639093520e+06 6.1498304943345571e+06 6.1266437030335534e+06 6.1084784561837660e+06 6.0939530148988310e+06 6.0820172852400215e+06 6.0716854559123944e+06 6.0620063756101532e+06 6.0551799466726771e+06 6.0482944689445226e+06 6.0412720086100241e+06 6.0339178452814724e+06 6.0263316141216792e+06 6.0182972818188583e+06 6.0100737516370472e+06 6.0009438358578263e+06 5.9911728041282631e+06 5.9805808405529903e+06 5.9690275305175921e+06 5.9563422476696735e+06 5.9423327771902606e+06 5.9267252471229732e+06 5.9095421871581338e+06 5.8901473430782063e+06 5.8684022282870719e+06 5.8439913130709007e+06 5.8165750390188191e+06 5.7858032341168616e+06 5.7513246637529340e+06 5.7127530844576741e+06 5.6701323639203776e+06 5.6227287082566442e+06 5.5706998958756039e+06 5.5141662935524927e+06 5.4535713375602821e+06 5.3896695015757745e+06 5.3238968386092428e+06 5.2583923112055287e+06 5.1966481947536394e+06 5.1430754559391476e+06 5.1045616727274880e+06 5.0907094540405544e+06 5.1154681882511713e+06 5.1991431432931907e+06 5.3725041719191056e+06 5.6842621037152819e+06 6.2164805550936740e+06 8.3090362290441722e+05 +1.3623774591531136e+01 2.7128067317937285e+07 2.7125288637077220e+07 2.7120547558985077e+07 2.7114101178975355e+07 2.7107133318064984e+07 2.7101651101171307e+07 2.7098618305878647e+07 2.7096464700929638e+07 2.7093467088617083e+07 2.7089093427135706e+07 2.7083321655563995e+07 2.7075956402198303e+07 2.7066694880897481e+07 2.7055210661293328e+07 2.7041148624991879e+07 2.7024083733525135e+07 2.7003505330326661e+07 2.6978814462121725e+07 2.6949311001197062e+07 2.6914173726640735e+07 2.6872444939614866e+07 2.6822991900406212e+07 2.6764280303713534e+07 2.6693676652988024e+07 2.6608189124121133e+07 2.6506325018102046e+07 2.6386590633532047e+07 2.6246558611413203e+07 2.6083249160688069e+07 2.5893314121844687e+07 2.5673073593109120e+07 2.5418541955602448e+07 2.5125477566767905e+07 2.4789466264493689e+07 2.4406049733382240e+07 2.3970902567630451e+07 2.3480073113794658e+07 2.2930286803217474e+07 2.2319315200963676e+07 2.1646389657975886e+07 2.0855633910439078e+07 1.9999095244322889e+07 1.9084721019573182e+07 1.8124200065117873e+07 1.7132766137013577e+07 1.6128514984413531e+07 1.5131224540768148e+07 1.4160783074504182e+07 1.3235464854073428e+07 1.2370277374666920e+07 1.1575814241834933e+07 1.0857973768071570e+07 1.0218236976785589e+07 9.6538393978089187e+06 9.1593003619119488e+06 8.7277866110070627e+06 8.3518296330218762e+06 8.0242588562647160e+06 7.7384839865228347e+06 7.4889957490144093e+06 7.2708988401736589e+06 7.0803783107663160e+06 6.9139713342230730e+06 6.7691711330620488e+06 6.6435379847489484e+06 6.5350446530135134e+06 6.4421146454870393e+06 6.3631113688719850e+06 6.2964559521394409e+06 6.2409851303253435e+06 6.1952732213803809e+06 6.1582551942052506e+06 6.1287209334977577e+06 6.1056129061231995e+06 6.0875094888221463e+06 6.0730336161860311e+06 6.0611387077774024e+06 6.0508422710506171e+06 6.0411963890954126e+06 6.0343933879928840e+06 6.0275315451242840e+06 6.0205331917357054e+06 6.0132042747256784e+06 6.0056440867536096e+06 5.9976373397243107e+06 5.9894420293537080e+06 5.9803434560601814e+06 5.9706059676610008e+06 5.9600503655254440e+06 5.9485367170751598e+06 5.9358949816782577e+06 5.9219336043686997e+06 5.9063796570545444e+06 5.8892555736637237e+06 5.8699273098873608e+06 5.8482568435092755e+06 5.8239297279808596e+06 5.7966075705428654e+06 5.7659414012786429e+06 5.7315811913149254e+06 5.6931420266898209e+06 5.6506676067716759e+06 5.6034266814889396e+06 5.5515764770004805e+06 5.4952369468883853e+06 5.4348500051734922e+06 5.3711675355496043e+06 5.3056206612649811e+06 5.2403410054087620e+06 5.1788088385944888e+06 5.1254200080565447e+06 5.0870384379007714e+06 5.0732337758419523e+06 5.0979075176421311e+06 5.1812952276637014e+06 5.3540611317933723e+06 5.6647488471712917e+06 6.1951402551200576e+06 8.2769085623427189e+05 +1.3628742914305395e+01 2.7046973822647512e+07 2.7044203298841681e+07 2.7039476082147766e+07 2.7033048461199366e+07 2.7026100417545088e+07 2.7020632949511550e+07 2.7017606956642061e+07 2.7015456961528569e+07 2.7012464883074045e+07 2.7008100127073336e+07 2.7002340543550178e+07 2.6994991190582044e+07 2.6985750008022591e+07 2.6974291328566384e+07 2.6960260851055749e+07 2.6943234526051193e+07 2.6922702883402586e+07 2.6898068356992252e+07 2.6868632440630332e+07 2.6833575823670506e+07 2.6791943041747682e+07 2.6742604012523815e+07 2.6684028073317479e+07 2.6613587983589236e+07 2.6528298849747945e+07 2.6426671482761122e+07 2.6307215974018965e+07 2.6167510986718707e+07 2.6004584119155474e+07 2.5815095621064521e+07 2.5595374994747404e+07 2.5341447025863159e+07 2.5049081439817604e+07 2.4713876301116969e+07 2.4331386176825583e+07 2.3897298885642275e+07 2.3407675861800201e+07 2.2859254830131173e+07 2.2249817977757692e+07 2.1578604529442672e+07 2.0789890332747564e+07 1.9935600038470998e+07 1.9023669539838284e+07 1.8065765439645506e+07 1.7077087751544658e+07 1.6075687485322699e+07 1.5081288959911752e+07 1.4113721713560142e+07 1.3191201132620716e+07 1.2328681317157377e+07 1.1536712800587954e+07 1.0821163634238021e+07 1.0183498237679778e+07 9.6209502628101278e+06 9.1280477840849366e+06 8.6979728299619071e+06 8.3232763880873928e+06 7.9968081762272390e+06 7.7119976474220110e+06 7.4633525971803451e+06 7.2459934150731452e+06 7.0561175691395765e+06 6.8902737409993578e+06 6.7459635125544416e+06 6.6207554086009068e+06 6.5126290712452838e+06 6.4200133501763800e+06 6.3412772428318672e+06 6.2748472623941889e+06 6.2195640929919174e+06 6.1740069239854328e+06 6.1371143105065534e+06 6.1076802364160921e+06 6.0846507198456516e+06 6.0666089328100923e+06 6.0521824684627568e+06 6.0403282488284661e+06 6.0300670895787515e+06 6.0204542977806460e+06 6.0136746481078845e+06 6.0068363629991468e+06 5.9998620379021000e+06 5.9925582848318871e+06 5.9850240550843216e+06 5.9770448033106802e+06 5.9688776207183544e+06 5.9598102876603315e+06 5.9501062331355968e+06 5.9395868738129549e+06 5.9281127575369598e+06 5.9155144275120841e+06 5.9016009864560794e+06 5.8861004470588863e+06 5.8690351478627510e+06 5.8497732471662974e+06 5.8281771856484925e+06 5.8039335963936364e+06 5.7767052485000687e+06 5.7461443702216782e+06 5.7119021344932020e+06 5.6735949524992891e+06 5.6312663559185667e+06 5.5841876300924635e+06 5.5325154507588567e+06 5.4763693596652374e+06 5.4161897535576141e+06 5.3527259345791992e+06 5.2874041123074386e+06 5.2223485943089966e+06 5.1610276856561862e+06 5.1078221633707946e+06 5.0695723749046382e+06 5.0558151142974803e+06 5.0804041409839224e+06 5.1635055431594057e+06 5.3356782644692091e+06 5.6452992551335664e+06 6.1738695806664666e+06 8.2449018310070934e+05 +1.3633711237079654e+01 2.6966101076756708e+07 2.6963338846407678e+07 2.6958625432757143e+07 2.6952216536585785e+07 2.6945288261892673e+07 2.6939835505808607e+07 2.6936816304505724e+07 2.6934669918635946e+07 2.6931683370390709e+07 2.6927327509440918e+07 2.6921580097501218e+07 2.6914246621765047e+07 2.6905025746809877e+07 2.6893592566987403e+07 2.6879593596935559e+07 2.6862605774469707e+07 2.6842120813845072e+07 2.6817542533516251e+07 2.6788174046146475e+07 2.6753197947844066e+07 2.6711661004854448e+07 2.6662435787374213e+07 2.6603995268641718e+07 2.6533718452568412e+07 2.6448627364034995e+07 2.6347236317808852e+07 2.6228059190300018e+07 2.6088680654933214e+07 2.5926135684867453e+07 2.5737092922169250e+07 2.5517891253831763e+07 2.5264565847960088e+07 2.4972897772864569e+07 2.4638497291439537e+07 2.4256931822016601e+07 2.3823902373415735e+07 2.3335483430755273e+07 2.2788424973861299e+07 2.2180519772959564e+07 2.1511014889504623e+07 2.0724337933094267e+07 1.9872291134878907e+07 1.8962798909280881e+07 1.8007505645000771e+07 1.7021577656085193e+07 1.6023021290605510e+07 1.5031507365782771e+07 1.4066806832697960e+07 1.3147076358220719e+07 1.2287216813642116e+07 1.1497735813523350e+07 1.0784471275730774e+07 1.0148871109005891e+07 9.5881671353069618e+06 9.0968961838970929e+06 8.6682555537897646e+06 8.2948156954044364e+06 7.9694465694107264e+06 7.6855973253263179e+06 7.4377927823950825e+06 7.2211689779275376e+06 7.0319357604556056e+06 6.8666532844997384e+06 6.7228314655854357e+06 6.5980470498286905e+06 6.4902865358650628e+06 6.3979840984951733e+06 6.3195143078978797e+06 6.2533090441744281e+06 6.1982129279270284e+06 6.1528100041743359e+06 6.1160424029535204e+06 6.0867081941735856e+06 6.0637569360425798e+06 6.0457765805852432e+06 6.0313993646450136e+06 6.0195857017025137e+06 6.0093597051464608e+06 5.9997798956577601e+06 5.9930235212384881e+06 5.9862087170209354e+06 5.9792583418012308e+06 5.9719796705589797e+06 5.9644713143057274e+06 5.9565194680468962e+06 5.9483803214924810e+06 5.9393441267008465e+06 5.9296733969556652e+06 5.9191901621606098e+06 5.9077554490487687e+06 5.8952003827430522e+06 5.8813347215044498e+06 5.8658874157176269e+06 5.8488807089280142e+06 5.8296849547389923e+06 5.8081630552649358e+06 5.7840027197037917e+06 5.7568678752193600e+06 5.7264119443197604e+06 5.6922872978260061e+06 5.6541116677358467e+06 5.6119284186665947e+06 5.5650113629713804e+06 5.5135166278289566e+06 5.4575633444914930e+06 5.3975903973698802e+06 5.3343445154985450e+06 5.2692470108147785e+06 5.2044148992029009e+06 5.1433045593388025e+06 5.0902817470992999e+06 5.0521633102656174e+06 5.0384532964042509e+06 5.0629578844291158e+06 5.1457739130929252e+06 5.3173553873594506e+06 5.6259131344181309e+06 6.1526683204814848e+06 8.2130155952572520e+05 +1.3638679559853912e+01 2.6885448833488207e+07 2.6882694671025645e+07 2.6877995114763241e+07 2.6871604889992904e+07 2.6864696337253984e+07 2.6859258256693300e+07 2.6856245835970391e+07 2.6854103058733400e+07 2.6851122037022557e+07 2.6846775060641404e+07 2.6841039803767424e+07 2.6833722182150651e+07 2.6824521583659317e+07 2.6813113862922769e+07 2.6799146349002972e+07 2.6782196965188988e+07 2.6761758607997917e+07 2.6737236478172410e+07 2.6707935304212023e+07 2.6673039585732050e+07 2.6631598315547731e+07 2.6582486711669520e+07 2.6524181376502167e+07 2.6454067546869665e+07 2.6369174154105991e+07 2.6268019010611709e+07 2.6149119769961521e+07 2.6010067103994463e+07 2.5847903346108064e+07 2.5659305513913281e+07 2.5440621859717365e+07 2.5187897911987625e+07 2.4896926056877028e+07 2.4563328727560412e+07 2.4182686162379511e+07 2.3750712526071101e+07 2.3263495317897897e+07 2.2717796734162245e+07 2.2111420089535475e+07 2.1443620245053958e+07 2.0658976223464057e+07 1.9809168051905222e+07 1.8902108653890695e+07 1.7949420216371384e+07 1.6966235396623481e+07 1.5970515958627841e+07 1.4981879330681739e+07 1.4020038019449854e+07 1.3103090134608615e+07 1.2245883484681675e+07 1.1458882918162843e+07 1.0747896346709339e+07 1.0114355260825856e+07 9.5554897002757844e+06 9.0658452600340098e+06 8.6386344936087374e+06 8.2664472772563342e+06 7.9421737680344954e+06 7.6592827612497909e+06 7.4123160534226336e+06 7.1964252843250148e+06 7.0078326462965142e+06 6.8431097315486772e+06 6.6997747635490904e+06 6.5754126837867713e+06 6.4680168256470012e+06 6.3760266721449317e+06 6.2978223482755497e+06 6.2318410837913556e+06 6.1769314231930468e+06 6.1316822514714655e+06 6.0950392622459345e+06 6.0658045984312221e+06 6.0429313471060935e+06 6.0250122251315527e+06 6.0106840982052032e+06 5.9989108602650668e+06 5.9887199119790206e+06 5.9791729772634860e+06 5.9724398021566449e+06 5.9656484021932343e+06 5.9587218986759344e+06 5.9514682273851996e+06 5.9439856601794530e+06 5.9360611299520861e+06 5.9279499279702650e+06 5.9189447698101867e+06 5.9093072560555367e+06 5.8988600278681163e+06 5.8874645893082358e+06 5.8749526454975437e+06 5.8611346081148284e+06 5.8457403621520158e+06 5.8287920565654095e+06 5.8096622329706689e+06 5.7882142534652818e+06 5.7641368998475336e+06 5.7370952535586180e+06 5.7067439274733393e+06 5.6727364863909082e+06 5.6346919787860978e+06 5.5926536028385703e+06 5.5458976895613074e+06 5.4945798194112135e+06 5.4388187144742310e+06 5.3790517517797370e+06 5.3160230956352139e+06 5.2511491763315909e+06 5.1865397418704974e+06 5.1256392835136307e+06 5.0727985849263137e+06 5.0348110709724836e+06 5.0211481496186489e+06 5.0455685745991562e+06 5.1281001612489773e+06 5.2990923183831908e+06 5.6065902923724968e+06 6.1315362638652483e+06 8.1812494168396329e+05 +1.3643647882628171e+01 2.6805016412140533e+07 2.6802270293639988e+07 2.6797584632219456e+07 2.6791213007396720e+07 2.6784324130380958e+07 2.6778900689577959e+07 2.6775895038383264e+07 2.6773755869094923e+07 2.6770780370207224e+07 2.6766442267946959e+07 2.6760719149627335e+07 2.6753417358952682e+07 2.6744237005775958e+07 2.6732854703602899e+07 2.6718918594474379e+07 2.6702007585432146e+07 2.6681615753169190e+07 2.6657149678226456e+07 2.6627915702177100e+07 2.6593100224711221e+07 2.6551754461300887e+07 2.6502756272953421e+07 2.6444585884569746e+07 2.6374634754298031e+07 2.6289938707940951e+07 2.6189019049348645e+07 2.6070397201464303e+07 2.5931669822676193e+07 2.5769886592078932e+07 2.5581732885966960e+07 2.5363566302667633e+07 2.5111442708901528e+07 2.4821165783722397e+07 2.4488370102460422e+07 2.4108648692264259e+07 2.3677728839646868e+07 2.3191711021337464e+07 2.2647369611746270e+07 2.2042518431351617e+07 2.1376420103851859e+07 2.0593804716833446e+07 1.9746230308832709e+07 1.8841598300673749e+07 1.7891508689942446e+07 1.6911060520091806e+07 1.5918171048727021e+07 1.4932404427835086e+07 1.3973414862290049e+07 1.3059242066490812e+07 1.2204680951784354e+07 1.1420153752923500e+07 1.0711438502184482e+07 1.0079950364025762e+07 9.5229176434934288e+06 9.0348947119585369e+06 8.6091093613056801e+06 8.2381708566532936e+06 7.9149895050232578e+06 7.6330536968915258e+06 7.3869221597032854e+06 7.1717620905143302e+06 6.9838079888858376e+06 6.8196428495928589e+06 6.6767931784481462e+06 6.5528520864349399e+06 6.4458197199646141e+06 6.3541408534285128e+06 6.2762011487581041e+06 6.2104431681355499e+06 6.1557193674361035e+06 6.1106234559696279e+06 6.0741046796587827e+06 6.0449692413946483e+06 6.0221737460029032e+06 6.0043156600096105e+06 5.9900364631715436e+06 5.9783035189508134e+06 5.9681475048385384e+06 5.9586333377006892e+06 5.9519232861920102e+06 5.9451552140808012e+06 5.9382525043286411e+06 5.9310237513672356e+06 5.9235668890040005e+06 5.9156695856087599e+06 5.9075862370058401e+06 5.8986120141416816e+06 5.8890076079316055e+06 5.8785962687933194e+06 5.8672399765516296e+06 5.8547710144472774e+06 5.8410004454304883e+06 5.8256590860392880e+06 5.8087689910311038e+06 5.7897048827668289e+06 5.7683305818909314e+06 5.7443359392863298e+06 5.7173871869141674e+06 5.6871401241212012e+06 5.6532495057840766e+06 5.6153356925480124e+06 5.5734417167772800e+06 5.5268464198093750e+06 5.4757048372030314e+06 5.4201352832311811e+06 5.3605736324456409e+06 5.2977614928145036e+06 5.2331104289095867e+06 5.1687229445718946e+06 5.1080316825236008e+06 5.0553725030102385e+06 5.0175154844886018e+06 5.0038995018746015e+06 5.0282360385859543e+06 5.1104841118908161e+06 5.2808888759425934e+06 5.5873305368665121e+06 6.1104732006904632e+06 8.1496028590222006e+05 +1.3648616205402430e+01 2.6724803355682701e+07 2.6722065281326711e+07 2.6717393478018265e+07 2.6711040376422480e+07 2.6704171128763698e+07 2.6698762292725958e+07 2.6695763399949010e+07 2.6693627837886773e+07 2.6690657858047970e+07 2.6686328619431365e+07 2.6680617623103306e+07 2.6673331640209895e+07 2.6664171501201052e+07 2.6652814577037569e+07 2.6638909821408454e+07 2.6622037123256851e+07 2.6601691737424273e+07 2.6577281621786710e+07 2.6548114728184391e+07 2.6513379352990244e+07 2.6472128930383366e+07 2.6423243959587265e+07 2.6365208281290490e+07 2.6295419563498322e+07 2.6210920514381852e+07 2.6110235923053581e+07 2.5991890974130739e+07 2.5853488300570112e+07 2.5692084912781730e+07 2.5504374528836597e+07 2.5286724073755518e+07 2.5035199730555184e+07 2.4745616446141876e+07 2.4413620909991186e+07 2.4034818906899553e+07 2.3604950811058827e+07 2.3120130040097974e+07 2.2577143108244721e+07 2.1973814303252570e+07 2.1309413974636108e+07 2.0528822927098505e+07 1.9683477425937526e+07 1.8781267377584197e+07 1.7833770602839328e+07 1.6856052574433628e+07 1.5865986121232390e+07 1.4883082231497481e+07 1.3926936950672468e+07 1.3015531759521991e+07 1.2163608837362312e+07 1.1381547957140362e+07 1.0675097398058968e+07 1.0045656090384385e+07 9.4904506515598167e+06 9.0040442399419416e+06 8.5796798695209604e+06 8.2099861573496731e+06 7.8878935140104704e+06 7.6069098746419372e+06 7.3616108513481887e+06 7.1471791534026060e+06 6.9598615510733053e+06 6.7962524067051588e+06 6.6538864828951545e+06 6.5303650343277361e+06 6.4236949987855973e+06 6.3323264252335466e+06 6.2546504947016137e+06 6.1891150846740147e+06 6.1345765498643527e+06 6.0896334083210183e+06 6.0532384470215654e+06 6.0242019158464363e+06 6.0014839262545910e+06 5.9836866793248262e+06 5.9694562541280575e+06 5.9577634727343209e+06 5.9476422790611899e+06 5.9381607726202896e+06 5.9314737692258460e+06 5.9247289487971617e+06 5.9178499551122915e+06 5.9106460390985971e+06 5.9032147976381658e+06 5.8953446321374690e+06 5.8872890460012555e+06 5.8783456574065723e+06 5.8687742506226394e+06 5.8583986833320577e+06 5.8470814095650846e+06 5.8346552888007462e+06 5.8209320331327952e+06 5.8056433875932526e+06 5.7888113131109178e+06 5.7698127055792417e+06 5.7485118427191135e+06 5.7245996410263414e+06 5.6977434792093541e+06 5.6676003392248061e+06 5.6338261621293537e+06 5.5960426164505659e+06 5.5542925693450402e+06 5.5078573641695604e+06 5.4568914934218386e+06 5.4015128648764854e+06 5.3421558555300720e+06 5.2795595253534913e+06 5.2151305890865205e+06 5.1509643300447883e+06 5.0904815811974229e+06 5.0380033279790282e+06 5.0002763787389677e+06 4.9867071815642836e+06 5.0109601039484954e+06 5.0929255897644134e+06 5.2627448789311321e+06 5.5681336762826592e+06 6.0894789214081941e+06 8.1180754865895049e+05 +1.3653584528176689e+01 2.6644809147329755e+07 2.6642079101635478e+07 2.6637421124960206e+07 2.6631086486589041e+07 2.6624236820706744e+07 2.6618842555207964e+07 2.6615850409644324e+07 2.6613718454069242e+07 2.6610753989466339e+07 2.6606433603980631e+07 2.6600734713112388e+07 2.6593464514811512e+07 2.6584324558809832e+07 2.6572992972120453e+07 2.6559119518647850e+07 2.6542285067542579e+07 2.6521986049660467e+07 2.6497631797805984e+07 2.6468531871231403e+07 2.6433876459637359e+07 2.6392721211912312e+07 2.6343949260789022e+07 2.6286048056064524e+07 2.6216421463919960e+07 2.6132119063031979e+07 2.6031669121595908e+07 2.5913600578081604e+07 2.5775522028206103e+07 2.5614497799085110e+07 2.5427229933881868e+07 2.5210094664970696e+07 2.4959168469652239e+07 2.4670277537748069e+07 2.4339080644876674e+07 2.3961196302405789e+07 2.3532377938154832e+07 2.3048751874092575e+07 2.2507116726190221e+07 2.1905307210928086e+07 2.1242601367071170e+07 2.0464030369122360e+07 1.9620908924430937e+07 1.8721115413548764e+07 1.7776205493214440e+07 1.6801211108559735e+07 1.5813960737458482e+07 1.4833912316881629e+07 1.3880603875021327e+07 1.2971958820304768e+07 1.2122666764786705e+07 1.1343065171034725e+07 1.0638872691111123e+07 1.0011472112478193e+07 9.4580884118895158e+06 8.9732935450278148e+06 8.5503457316529248e+06 8.1818929038239252e+06 7.8608855293424223e+06 7.5808510375771811e+06 7.3363818791338094e+06 7.1226762305379082e+06 6.9359930963591672e+06 6.7729381715818522e+06 6.6310544501183452e+06 6.5079513046294581e+06 6.4016424426640226e+06 6.3105831710275365e+06 6.2331701720649684e+06 6.1678566214402122e+06 6.1135027602631217e+06 6.0687118997567073e+06 6.0324403567399047e+06 6.0035024151288690e+06 5.9808616819448816e+06 5.9631250777449282e+06 5.9489432662245473e+06 5.9372905171625176e+06 5.9272040305266203e+06 5.9177550782321189e+06 5.9110910476972908e+06 5.9043694030094659e+06 5.8975140479267528e+06 5.8903348877357095e+06 5.8829291834739121e+06 5.8750860672139106e+06 5.8670581529150894e+06 5.8581454978695242e+06 5.8486069827120453e+06 5.8382670704249972e+06 5.8269886876797266e+06 5.8146052683204534e+06 5.8009291714584036e+06 5.7856930675593950e+06 5.7689188241340350e+06 5.7499855033860030e+06 5.7287578386669857e+06 5.7049278085965952e+06 5.6781639349025562e+06 5.6481243782700831e+06 5.6144662620814340e+06 5.5768125584373940e+06 5.5352059699163614e+06 5.4889303336186875e+06 5.4381396007876843e+06 5.3829512740385905e+06 5.3237982376987673e+06 5.2614170120594911e+06 5.1972094778787326e+06 5.1332637215166772e+06 5.0729888048247155e+06 5.0206908869318739e+06 4.9830935821188511e+06 4.9695710175462430e+06 4.9937405987169072e+06 5.0754244200704014e+06 5.2446601467312770e+06 5.5489995195245584e+06 6.0685532170246448e+06 8.0866668658377870e+05 +1.3658552850950947e+01 2.6565033351136006e+07 2.6562311282318622e+07 2.6557667035626866e+07 2.6551350829011805e+07 2.6544520695412289e+07 2.6539140966848914e+07 2.6536155557306781e+07 2.6534027207402658e+07 2.6531068254222538e+07 2.6526756711343706e+07 2.6521069909350518e+07 2.6513815472459197e+07 2.6504695668305717e+07 2.6493389378549557e+07 2.6479547175946660e+07 2.6462750908036839e+07 2.6442498179638524e+07 2.6418199696057756e+07 2.6389166621150527e+07 2.6354591034515157e+07 2.6313530795855232e+07 2.6264871666645940e+07 2.6207104698989112e+07 2.6137639945896488e+07 2.6053533844405606e+07 2.5953318135707907e+07 2.5835525504331741e+07 2.5697770496849965e+07 2.5537124742746495e+07 2.5350298593338642e+07 2.5133677569142807e+07 2.4883348419752985e+07 2.4595148553021811e+07 2.4264748802737292e+07 2.3887780375771079e+07 2.3460009719624974e+07 2.2977576024180409e+07 2.2437289969007473e+07 2.1836996661083184e+07 2.1175981791801449e+07 2.0399426558728613e+07 1.9558524326507717e+07 1.8661141938487776e+07 1.7718812900171287e+07 1.6746535672384588e+07 1.5762094459702030e+07 1.4784894260187944e+07 1.3834415226715283e+07 1.2928522856383545e+07 1.2081854358335430e+07 1.1304705035731545e+07 1.0602764038984803e+07 9.9773981037643794e+06 9.4258306127122007e+06 8.9426423290284835e+06 8.5211066618622076e+06 8.1538908212886620e+06 7.8339652860545637e+06 7.5548769294529902e+06 7.3112349944971446e+06 7.0982530801171288e+06 6.9122023888644297e+06 6.7496999135405505e+06 6.6082968539594579e+06 6.4856106751034325e+06 6.3796618327617338e+06 6.2889108748695701e+06 6.2117599673679555e+06 6.1466675670498200e+06 6.0924977889837986e+06 6.0478587220646041e+06 6.0117102017578846e+06 5.9828705331364945e+06 5.9603068077069633e+06 5.9426306504985420e+06 5.9284972951533142e+06 5.9168844483183175e+06 5.9068325556664048e+06 5.8974160512870960e+06 5.8907749185847146e+06 5.8840763739330499e+06 5.8772445802213373e+06 5.8700900949688535e+06 5.8627098444840293e+06 5.8548936890653223e+06 5.8468933562336946e+06 5.8380113343265727e+06 5.8285056033432372e+06 5.8182012295610774e+06 5.8069616107724132e+06 5.7946207533034831e+06 5.7809916611671923e+06 5.7658079272405794e+06 5.7490913259770852e+06 5.7302230787067469e+06 5.7090683729789192e+06 5.6853202460710490e+06 5.6586483589779912e+06 5.6287120472820150e+06 5.5951696128138006e+06 5.5576453269791920e+06 5.5161817283944665e+06 5.4700651396391066e+06 5.4194489725298826e+06 5.3644503258412620e+06 5.3055005960997324e+06 5.2433337722244384e+06 5.1793469167878646e+06 5.1156209426871426e+06 5.0555531791808568e+06 5.0034350074366163e+06 4.9659669234791109e+06 4.9524908391408846e+06 4.9765773513789782e+06 5.0579804285040163e+06 5.2266344992218083e+06 5.5299278760168804e+06 6.0476958791207410e+06 8.0553765645700111e+05 +1.3663521173725206e+01 2.6485475224030349e+07 2.6482761313836880e+07 2.6478130700772151e+07 2.6471832895537447e+07 2.6465022243081778e+07 2.6459657018352967e+07 2.6456678333630513e+07 2.6454553588570055e+07 2.6451600142874144e+07 2.6447297432086714e+07 2.6441622702358183e+07 2.6434384003660105e+07 2.6425284320203360e+07 2.6414003286831424e+07 2.6400192283815086e+07 2.6383434135283057e+07 2.6363227617929548e+07 2.6338984807166725e+07 2.6310018468553960e+07 2.6275522568318795e+07 2.6234557172976043e+07 2.6186010667983588e+07 2.6128377701093465e+07 2.6059074500564877e+07 2.5975164349868488e+07 2.5875182456956033e+07 2.5757665244691387e+07 2.5620233198708437e+07 2.5459965236302182e+07 2.5273580000272512e+07 2.5057472279955078e+07 2.4807739075312562e+07 2.4520228987349957e+07 2.4190624880072970e+07 2.3814570624890227e+07 2.3387845655110151e+07 2.2906601992112249e+07 2.2367662341102105e+07 2.1768882161316000e+07 2.1109554760363914e+07 2.0335011012662556e+07 1.9496323155305296e+07 1.8601346483263023e+07 1.7661592363802895e+07 1.6692025816789970e+07 1.5710386851218609e+07 1.4736027638563808e+07 1.3788370598110240e+07 1.2885223476270553e+07 1.2041171243215181e+07 1.1266467193263674e+07 1.0566771100182580e+07 9.9434337385193557e+06 9.3936769430684652e+06 8.9120902945748176e+06 8.4919623750495575e+06 8.1259796356793307e+06 7.8071325199172432e+06 7.5289872947154744e+06 7.2861699495483553e+06 7.0739094609898124e+06 6.8884891933576288e+06 6.7265374025151059e+06 6.5856134688603394e+06 6.4633429241067609e+06 6.3577529508145545e+06 6.2673093213919820e+06 6.1904196677172799e+06 6.1255477106894860e+06 6.0715614269468002e+06 6.0270736675980212e+06 5.9910477756025996e+06 5.9623060643222500e+06 5.9398190987409195e+06 5.9222031933631022e+06 5.9081181371686384e+06 5.8965450628474988e+06 5.8865276514699338e+06 5.8771434890985480e+06 5.8705251794286007e+06 5.8638496593319550e+06 5.8570413500022423e+06 5.8499114590571271e+06 5.8425565791584095e+06 5.8347672964576390e+06 5.8267944550086074e+06 5.8179429661308145e+06 5.8084699121787194e+06 5.7982009607651904e+06 5.7869999792633727e+06 5.7747015445923777e+06 5.7611193035768643e+06 5.7459877684604470e+06 5.7293286210394753e+06 5.7105252345947167e+06 5.6894432494373620e+06 5.6657767580399327e+06 5.6391965569519941e+06 5.6093631527944505e+06 5.5759360220165104e+06 5.5385407310577221e+06 5.4972196551856324e+06 5.4512615942322277e+06 5.4008194223866472e+06 5.3460098359060036e+06 5.2872627483915119e+06 5.2253096256499207e+06 5.1615427278068848e+06 5.0980358177278722e+06 5.0381745305084474e+06 4.9862355175202182e+06 4.9488962321462752e+06 4.9354664761376530e+06 4.9594701908924831e+06 5.0405934412239809e+06 5.2086677567621246e+06 5.5109185556960758e+06 6.0269066998417648e+06 8.0242041520910268e+05 +1.3668489496499465e+01 2.6406134391658034e+07 2.6403428725800920e+07 2.6398811632317051e+07 2.6392532178233393e+07 2.6385740954917472e+07 2.6380390201151334e+07 2.6377418230049845e+07 2.6375297088977892e+07 2.6372349146858793e+07 2.6368055257598050e+07 2.6362392583552852e+07 2.6355169599833224e+07 2.6346090005868565e+07 2.6334834188369278e+07 2.6321054333617508e+07 2.6304334240636218e+07 2.6284173855936628e+07 2.6259986622554664e+07 2.6231086904977087e+07 2.6196670552646559e+07 2.6155799834959947e+07 2.6107365756546229e+07 2.6049866554218460e+07 2.5980724619925853e+07 2.5897010071569223e+07 2.5797261577735767e+07 2.5680019291839000e+07 2.5542909626803271e+07 2.5383018773237877e+07 2.5197073648604080e+07 2.4981478291973323e+07 2.4732339931622099e+07 2.4445518336930249e+07 2.4116708374242511e+07 2.3741566548566077e+07 2.3315885245086841e+07 2.2835829280515142e+07 2.2298233347751990e+07 2.1700963220137235e+07 2.1043319785228349e+07 2.0270783248681374e+07 1.9434304934942085e+07 1.8541728579720266e+07 1.7604543425178152e+07 1.6637681093642637e+07 1.5658837476284971e+07 1.4687312030156516e+07 1.3742469582508644e+07 1.2842060289392304e+07 1.2000617045544010e+07 1.1228351286547596e+07 1.0530893534112697e+07 9.9095786918589864e+06 9.3616270927971229e+06 8.8816371450433061e+06 8.4629125868774448e+06 8.0981590736682517e+06 7.7803869673813442e+06 7.5031818784915740e+06 7.2611864970554626e+06 7.0496451326544154e+06 6.8648532752277609e+06 6.7034504090682939e+06 6.5630040698768711e+06 6.4411478305985834e+06 6.3359155791559843e+06 6.2457782958233925e+06 6.1691490607896987e+06 6.1044968421111014e+06 6.0506934656317392e+06 6.0063565292672981e+06 5.9704528723614272e+06 5.9418088037050646e+06 5.9193983507953472e+06 5.9018425026686750e+06 5.8878055890708379e+06 5.8762721579465885e+06 5.8662891154737975e+06 5.8569371895225551e+06 5.8503416283174697e+06 5.8436890575271780e+06 5.8369041558173420e+06 5.8297987787841745e+06 5.8224691865459420e+06 5.8147066887093438e+06 5.8067612488272758e+06 5.7979401931792861e+06 5.7884997094426928e+06 5.7782660646181218e+06 5.7671035941042546e+06 5.7548474435675703e+06 5.7413119005346904e+06 5.7262323935936466e+06 5.7096305122673409e+06 5.6908917746397723e+06 5.6698822723607719e+06 5.6462971496364838e+06 5.6198083348631253e+06 5.5900775018890454e+06 5.5567652979155472e+06 5.5194985801830245e+06 5.4783195612153877e+06 5.4325195098967478e+06 5.3822507645954946e+06 5.3276296203634879e+06 5.2690845127153229e+06 5.2073443926017806e+06 5.1437967334018387e+06 5.0805081713063484e+06 5.0208526855158936e+06 4.9690922456933437e+06 4.9318813379070479e+06 4.9184977587764179e+06 4.9424189466773551e+06 5.0232632848587772e+06 5.1907597402024632e+06 5.4919713690185482e+06 6.0061854718872253e+06 7.9931491992026556e+05 +1.3673457819273724e+01 2.6327010536120582e+07 2.6324312832996778e+07 2.6319709327843599e+07 2.6313448169206291e+07 2.6306676323148191e+07 2.6301340007576667e+07 2.6298374738917913e+07 2.6296257200917345e+07 2.6293314758411869e+07 2.6289029680088542e+07 2.6283379045095406e+07 2.6276171753134448e+07 2.6267112217502300e+07 2.6255881575309265e+07 2.6242132817549314e+07 2.6225450716334693e+07 2.6205336385915775e+07 2.6181204634500567e+07 2.6152371422727242e+07 2.6118034479860261e+07 2.6077258274207722e+07 2.6028936424920645e+07 2.5971570751042482e+07 2.5902589796797734e+07 2.5819070502544772e+07 2.5719554991303414e+07 2.5602587139348261e+07 2.5465799275003199e+07 2.5306284847801384e+07 2.5120779033174504e+07 2.4905695100608904e+07 2.4657150484877866e+07 2.4371016098906636e+07 2.4042998783515386e+07 2.3668767646438960e+07 2.3244127991020061e+07 2.2765257392982543e+07 2.2229002495154362e+07 2.1633239347014528e+07 2.0977276379860736e+07 2.0206742785408393e+07 1.9372469190492447e+07 1.8482287760672018e+07 1.7547665626332328e+07 1.6583501055779360e+07 1.5607445900123706e+07 1.4638747014086636e+07 1.3696711774181511e+07 1.2799032906146416e+07 1.1960191392399399e+07 1.1190356959419452e+07 1.0495131001012443e+07 9.8758326397422012e+06 9.3296807525626551e+06 8.8512825845958572e+06 8.4339570137639549e+06 8.0704288626372134e+06 7.7537283656046512e+06 7.4774604265966760e+06 7.2362843904544786e+06 7.0254598552530650e+06 6.8412944004973415e+06 6.6804387043694388e+06 6.5404684326709192e+06 6.4190251741390508e+06 6.3141495007084263e+06 6.2243175839670859e+06 6.1479479348354340e+06 6.0835147516374281e+06 6.0298936970954379e+06 5.9857071005602963e+06 5.9499252866680780e+06 5.9213785468555605e+06 5.8990443601741483e+06 5.8815483753018053e+06 5.8675594482207410e+06 5.8560655313660447e+06 5.8461167457609288e+06 5.8367969509708537e+06 5.8302240638852194e+06 5.8235943673812514e+06 5.8168327967568124e+06 5.8097518534918511e+06 5.8024474662383171e+06 5.7947116656740298e+06 5.7867935378291197e+06 5.7780028159055468e+06 5.7685947959020194e+06 5.7583963422320215e+06 5.7472722567969915e+06 5.7350582521518040e+06 5.7215692544259466e+06 5.7065416055426644e+06 5.6899968031313960e+06 5.6713225029634219e+06 5.6503852465836015e+06 5.6268812265127292e+06 5.6004834992819401e+06 5.5708549021427752e+06 5.5376572492394280e+06 5.5005186843683291e+06 5.4594812579202428e+06 5.4138386996501610e+06 5.3637428139015678e+06 5.3093094958354775e+06 5.2509657077164259e+06 5.1894378938530283e+06 5.1261087565244995e+06 5.0630378285396183e+06 5.0035874713922022e+06 4.9520050209120875e+06 4.9149220710058259e+06 4.9015845177701525e+06 4.9254234486226104e+06 5.0059897865091395e+06 5.1729102708825767e+06 5.4730861269494239e+06 5.9855319885301860e+06 7.9622112781988352e+05 +1.3678426142047982e+01 2.6248103057849281e+07 2.6245413207296796e+07 2.6240823277011242e+07 2.6234580361055586e+07 2.6227827841012727e+07 2.6222505930692390e+07 2.6219547353395771e+07 2.6217433417520229e+07 2.6214496470600437e+07 2.6210220192623455e+07 2.6204581580046017e+07 2.6197389956613444e+07 2.6188350448125556e+07 2.6177144940716080e+07 2.6163427228669554e+07 2.6146783055451609e+07 2.6126714700925175e+07 2.6102638336126950e+07 2.6073871514956325e+07 2.6039613843175858e+07 2.5998931984052490e+07 2.5950722166442610e+07 2.5893489785058588e+07 2.5824669524866831e+07 2.5741345136639096e+07 2.5642062191743903e+07 2.5525368281566154e+07 2.5388901638040114e+07 2.5229762955170278e+07 2.5044695649615154e+07 2.4830122202131040e+07 2.4582170232133787e+07 2.4296721771243125e+07 2.3969495607014410e+07 2.3596173419086192e+07 2.3172573395187199e+07 2.2694885833952453e+07 2.2159969290437110e+07 2.1565710052332129e+07 2.0911424058594428e+07 2.0142889142474242e+07 1.9310815447975855e+07 1.8423023559909422e+07 1.7490958510294817e+07 1.6529485257028997e+07 1.5556211688935932e+07 1.4590332170414586e+07 1.3651096768356387e+07 1.2756140937856706e+07 1.1919893911730459e+07 1.1152483856587909e+07 1.0459483162013199e+07 9.8421952589674573e+06 9.2978376138238851e+06 8.8210263181911521e+06 8.4050953728690948e+06 8.0427887307092641e+06 7.7271564524512924e+06 7.4518226855149819e+06 7.2114633838401809e+06 7.0013533895703750e+06 6.8178123358212691e+06 6.6575020602108147e+06 6.5180063335078266e+06 6.3969747348794583e+06 6.2924544989767084e+06 6.2029269721945906e+06 6.1268160786867691e+06 6.0626012301600548e+06 6.0091619139469676e+06 5.9651251755070221e+06 5.9294648137135105e+06 5.9010150899011744e+06 5.8787569237398142e+06 5.8613206087031774e+06 5.8473795125250332e+06 5.8359249813952800e+06 5.8260103409704072e+06 5.8167225723880790e+06 5.8101722853064621e+06 5.8035653882984864e+06 5.7968270724717462e+06 5.7897704830713794e+06 5.7824912183742709e+06 5.7747820277659865e+06 5.7668911226827102e+06 5.7581306352849975e+06 5.7487549728550166e+06 5.7385915952581754e+06 5.7275057693806337e+06 5.7153337728008730e+06 5.7018911681720186e+06 5.6869152077501314e+06 5.6704272976458361e+06 5.6518172242201958e+06 5.6309519774892610e+06 5.6075287948547816e+06 5.5812218573052408e+06 5.5516951616796087e+06 5.5186116852529123e+06 5.4816008541587582e+06 5.4407045572545640e+06 5.3952189770153128e+06 5.3452953855549358e+06 5.2910492794500263e+06 5.2329061525222957e+06 5.1715899506497784e+06 5.1084786206125775e+06 5.0456246150402706e+06 4.9863787157928078e+06 4.9349736726117618e+06 4.8980182621454485e+06 4.8847265842820490e+06 4.9084835270710010e+06 4.9887727737463918e+06 5.1551191706159580e+06 5.4542626409716234e+06 5.9649460435998505e+06 7.9313899628607545e+05 +1.3683394464822241e+01 2.6169411106679022e+07 2.6166729391125657e+07 2.6162152968779612e+07 2.6155928247518249e+07 2.6149195002594538e+07 2.6143887464475602e+07 2.6140935567405351e+07 2.6138825232727665e+07 2.6135893777317829e+07 2.6131626289091390e+07 2.6125999682259388e+07 2.6118823704114951e+07 2.6109804191583253e+07 2.6098623778424293e+07 2.6084937060823340e+07 2.6068330751813769e+07 2.6048308294883639e+07 2.6024287221387699e+07 2.5995586675679058e+07 2.5961408136647027e+07 2.5920820458620004e+07 2.5872722475399651e+07 2.5815623150666144e+07 2.5746963298643105e+07 2.5663833468587548e+07 2.5564782674016230e+07 2.5448362213733841e+07 2.5312216211454891e+07 2.5153452591300968e+07 2.4968822994440950e+07 2.4754759093700614e+07 2.4507398671265274e+07 2.4222634852809552e+07 2.3896198344828352e+07 2.3523783367976718e+07 2.3101220960819978e+07 2.2624714108839072e+07 2.2091133241643094e+07 2.1498374847397141e+07 2.0845762336779010e+07 2.0079221840454575e+07 1.9249343234380398e+07 1.8363935512179457e+07 1.7434421621050563e+07 1.6475633252195960e+07 1.5505134409912849e+07 1.4542067080197575e+07 1.3605624161226079e+07 1.2713383996793585e+07 1.1879724232440684e+07 1.1114731623664798e+07 1.0423949679093296e+07 9.8086662271688078e+06 9.2660973688437529e+06 8.7908680515356027e+06 8.3763273821012164e+06 8.0152384067222262e+06 7.7006709664793322e+06 7.4262684024051791e+06 7.1867232319637835e+06 6.9773254970381502e+06 6.7944068484896338e+06 6.6346402490015384e+06 6.4956175492599048e+06 6.3749962935617287e+06 6.2708303580572661e+06 6.1816062474792497e+06 6.1057532817397118e+06 6.0417560691430978e+06 5.9884979093666142e+06 5.9446105487043150e+06 5.9090712492474951e+06 5.8807182295116344e+06 5.8585358388933232e+06 5.8411590008581029e+06 5.8272655804316746e+06 5.8158503068761025e+06 5.8059697002784880e+06 5.7967138532848097e+06 5.7901860923104584e+06 5.7836019202358378e+06 5.7768867831445681e+06 5.7698544679494603e+06 5.7626002436352326e+06 5.7549175759240687e+06 5.7470538046042854e+06 5.7383234528459338e+06 5.7289800421451684e+06 5.7188516258896682e+06 5.7078039344226159e+06 5.6956738085078243e+06 5.6822774452301767e+06 5.6673530041899001e+06 5.6509218003549511e+06 5.6323757435897049e+06 5.6115822709770026e+06 5.5882396613731273e+06 5.5620232165431352e+06 5.5325980891313711e+06 5.4996284157308796e+06 5.4627449006003328e+06 5.4219892716734372e+06 5.3766601560198730e+06 5.3269082953011738e+06 5.2728487888202686e+06 5.2149056667605257e+06 5.1538003847309379e+06 5.0909061495723054e+06 5.0282683568896549e+06 4.9692262468296140e+06 4.9179980306809936e+06 4.8811697424941016e+06 4.8679237899372149e+06 4.8915990128239160e+06 4.9716120746106477e+06 5.1373862617126685e+06 5.4355007230788190e+06 5.9444274314847123e+06 7.9006848284520407e+05 +1.3688362787596500e+01 2.6090934716556933e+07 2.6088260790988982e+07 2.6083697894195504e+07 2.6077491323803887e+07 2.6070777302924942e+07 2.6065484103681404e+07 2.6062538875778358e+07 2.6060432141294736e+07 2.6057506173321877e+07 2.6053247464215215e+07 2.6047632846449353e+07 2.6040472490366437e+07 2.6031472942573696e+07 2.6020317583113853e+07 2.6006661808709763e+07 2.5990093300178725e+07 2.5970116662511598e+07 2.5946150785034146e+07 2.5917516399696741e+07 2.5883416855174586e+07 2.5842923192870162e+07 2.5794936846837271e+07 2.5737970343010344e+07 2.5669470613459803e+07 2.5586534993913721e+07 2.5487715933916949e+07 2.5371568431916803e+07 2.5235742491703086e+07 2.5077353253089067e+07 2.4893160565013967e+07 2.4679605273302991e+07 2.4432835301081806e+07 2.4148754843330134e+07 2.3823106497769486e+07 2.3451596995421480e+07 2.3030070192011066e+07 2.2554741723890331e+07 2.2022493857744183e+07 2.1431233244423550e+07 2.0780290730625879e+07 2.0015740400824118e+07 1.9188052077679504e+07 1.8305023153193429e+07 1.7378054503550760e+07 1.6421944597047037e+07 1.5454213631221542e+07 1.4493951325471276e+07 1.3560293549928291e+07 1.2670761696163261e+07 1.1839681984341864e+07 1.1077099907145226e+07 1.0388530215095168e+07 9.7752452228000499e+06 9.2344597106991578e+06 8.7608074911392592e+06 8.3476527601196477e+06 7.9877776202332564e+06 7.6742716469484605e+06 7.4007973251219792e+06 7.1620636902382914e+06 6.9533759397199228e+06 6.7710777064003525e+06 6.6118530437666979e+06 6.4733018574009286e+06 6.3530896315233400e+06 6.2492768626222201e+06 6.1603551973538697e+06 6.0847593339660130e+06 6.0209790606098399e+06 5.9679014770843014e+06 5.9241630153110689e+06 5.8887443895847173e+06 5.8604877629204541e+06 5.8383809035948329e+06 5.8210633502945546e+06 5.8072174509482188e+06 5.7958413072004830e+06 5.7859946234136363e+06 5.7767705936989645e+06 5.7702652851627106e+06 5.7637037636844823e+06 5.7570117295040060e+06 5.7500036090984074e+06 5.7427743432415035e+06 5.7351181116357259e+06 5.7272813853560025e+06 5.7185810706376303e+06 5.7092698061530534e+06 5.6991762368574161e+06 5.6881665550432010e+06 5.6760781628063899e+06 5.6627278895939644e+06 5.6478547993661044e+06 5.6314801163267614e+06 5.6129978667895375e+06 5.5922759334767209e+06 5.5690136333046583e+06 5.5428873851394169e+06 5.5135634936533626e+06 5.4807072509658588e+06 5.4439506352572190e+06 5.4033352141526481e+06 5.3581620511978772e+06 5.3085813593936777e+06 5.2547078420603238e+06 5.1969640705393581e+06 5.1360690183155341e+06 5.0733911677995259e+06 5.0109688806366464e+06 4.9521298930950435e+06 4.9010779254774982e+06 4.8643763436859706e+06 4.8511759668204933e+06 4.8747697371541122e+06 4.9545075176049164e+06 5.1197113669587057e+06 5.4168001857745955e+06 5.9239759471348058e+06 7.8700954517138959e+05 +1.3693331110370758e+01 2.6012673032376703e+07 2.6010007008010514e+07 2.6005457553378671e+07 2.5999269086317744e+07 2.5992574237761836e+07 2.5987295343885969e+07 2.5984356774138812e+07 2.5982253638851650e+07 2.5979333154156610e+07 2.5975083213525344e+07 2.5969480568140429e+07 2.5962335810838450e+07 2.5953356196614966e+07 2.5942225850334860e+07 2.5928600967871401e+07 2.5912070196084641e+07 2.5892139299405988e+07 2.5868228522684168e+07 2.5839660182678282e+07 2.5805639494482595e+07 2.5765239682626318e+07 2.5717364776674263e+07 2.5660530858161446e+07 2.5592190965516996e+07 2.5509449209022433e+07 2.5410861468023684e+07 2.5294986433042206e+07 2.5159479976062059e+07 2.5001464438218791e+07 2.4817707859587159e+07 2.4604660239832211e+07 2.4358479621226180e+07 2.4075081243430376e+07 2.3750219567663625e+07 2.3379613804646000e+07 2.2959120593759101e+07 2.2484968186327513e+07 2.1954050648582581e+07 2.1364284756621309e+07 2.0715008757315986e+07 1.9952444346075360e+07 1.9126941506741799e+07 1.8246286019650742e+07 1.7321856703756735e+07 1.6368418848325474e+07 1.5403448921982568e+07 1.4445984489204198e+07 1.3515104532563152e+07 1.2628273650112441e+07 1.1799766798149329e+07 1.1039588354424978e+07 1.0353224433735793e+07 9.7419319251677915e+06 9.2029243332533352e+06 8.7308443442595769e+06 8.3190712263228633e+06 7.9604061015175236e+06 7.6479582338096071e+06 7.3754092021710351e+06 7.1374845147343334e+06 6.9295044803333571e+06 6.7478246780952187e+06 6.5891402181290248e+06 6.4510590360054914e+06 6.3312545307008345e+06 6.2277937979424223e+06 6.1391736099317651e+06 6.0638340259057600e+06 6.0002699971467396e+06 5.9473724114100682e+06 5.9037823710343847e+06 5.8684840315803019e+06 5.8403234879139680e+06 5.8182919163621580e+06 5.8010334561076378e+06 5.7872349236214925e+06 5.7758977823032159e+06 5.7660849106508512e+06 5.7568925942216087e+06 5.7504096646829760e+06 5.7438707196903573e+06 5.7372017128156964e+06 5.7302177080218242e+06 5.7230133189507425e+06 5.7153834369296059e+06 5.7075736672323691e+06 5.6989032912597619e+06 5.6896240677962480e+06 5.6795652314294474e+06 5.6685934348837491e+06 5.6565466397575252e+06 5.6432423057908779e+06 5.6284203983215867e+06 5.6121020511677526e+06 5.5936834000593824e+06 5.5730327719487185e+06 5.5498505184041345e+06 5.5238141717508575e+06 5.4945911849181447e+06 5.4618480017577643e+06 5.4252178702084450e+06 5.3847421981658135e+06 5.3397244775846889e+06 5.2903143945819335e+06 5.2366262577819955e+06 5.1790811844621776e+06 5.1183956741146613e+06 5.0559335001644827e+06 4.9937260133003406e+06 4.9350894836439453e+06 4.8842131878179666e+06 4.8476378977915989e+06 4.8344829474668186e+06 4.8579955317784790e+06 4.9374589317016918e+06 5.1020943096240507e+06 5.3981608420759691e+06 5.9035913860560535e+06 7.8396214108603250e+05 +1.3698299433145017e+01 2.5934625683468275e+07 2.5931967461480357e+07 2.5927431446434885e+07 2.5921261031844832e+07 2.5914585303698871e+07 2.5909320681584284e+07 2.5906388758935798e+07 2.5904289221809044e+07 2.5901374216231942e+07 2.5897133033381078e+07 2.5891542343710598e+07 2.5884413161906160e+07 2.5875453450067211e+07 2.5864348076411959e+07 2.5850754034631945e+07 2.5834260935889121e+07 2.5814375701968595e+07 2.5790519930786185e+07 2.5762017521125656e+07 2.5728075551125199e+07 2.5687769424518134e+07 2.5640005761637334e+07 2.5583304192971170e+07 2.5515123851848893e+07 2.5432575611134499e+07 2.5334218773865074e+07 2.5218615714865800e+07 2.5083428162634607e+07 2.4925785645231288e+07 2.4742464377211213e+07 2.4529923492986571e+07 2.4284331132230904e+07 2.4001613554568682e+07 2.3677537057183452e+07 2.3307833299788330e+07 2.2888371671982780e+07 2.2415393004211698e+07 2.1885803124963976e+07 2.1297528898030359e+07 2.0649915934965987e+07 1.9889333199613977e+07 1.9066011051462855e+07 1.8187723649196427e+07 1.7265827768562861e+07 1.6315055563783767e+07 1.5352839852299375e+07 1.4398166155344034e+07 1.3470056708179798e+07 1.2585919473724315e+07 1.1759978305504287e+07 1.1002196613791104e+07 1.0318031999580860e+07 9.7087260143902339e+06 9.1714909311956912e+06 8.7009783189402185e+06 8.2905825008598026e+06 7.9331235815784559e+06 7.6217304677151805e+06 7.3501037827568399e+06 7.1129854621691154e+06 6.9057108822241416e+06 6.7246475327311754e+06 6.5665015463428535e+06 6.4288888637431348e+06 6.3094907736093476e+06 6.2063809498479329e+06 6.1180612738998011e+06 6.0429771486685071e+06 5.9796286719125556e+06 5.9269105071903719e+06 5.8834684121384714e+06 5.8482899726442033e+06 5.8202252028171485e+06 5.7982686762376102e+06 5.7810691179174567e+06 5.7673177985455384e+06 5.7560195326639628e+06 5.7462403627992878e+06 5.7370796559822708e+06 5.7306190322222039e+06 5.7241025898271427e+06 5.7174565348954331e+06 5.7104965667796349e+06 5.7033169730710508e+06 5.6957133543664925e+06 5.6879304530661320e+06 5.6792899178488515e+06 5.6700426305312384e+06 5.6600184134083204e+06 5.6490843781266371e+06 5.6370790439602071e+06 5.6238204988699742e+06 5.6090496066202195e+06 5.5927874110100027e+06 5.5744321501665805e+06 5.5538525938699590e+06 5.5307501249600668e+06 5.5048033855658285e+06 5.4756809731157431e+06 5.4430504794383775e+06 5.4065464180433489e+06 5.3662100377017856e+06 5.3213472507289862e+06 5.2721072181109181e+06 5.2186038550883085e+06 5.1612568296230827e+06 5.1007801753062969e+06 5.0385329720036658e+06 4.9765395823791390e+06 4.9181048479957683e+06 4.8674036489782594e+06 4.8309542373602334e+06 4.8178445648768879e+06 4.8412762288914090e+06 4.9204661463447586e+06 5.0845349134572139e+06 5.3795825055017322e+06 5.8832735443083756e+06 7.8092622855733254e+05 +1.3703267755919276e+01 2.5856792054910213e+07 2.5854141690042708e+07 2.5849619062746972e+07 2.5843466657052565e+07 2.5836809998011161e+07 2.5831559614051379e+07 2.5828634327457365e+07 2.5826538387465451e+07 2.5823628856771082e+07 2.5819396421030805e+07 2.5813817670316573e+07 2.5806704040761590e+07 2.5797764200074080e+07 2.5786683758536480e+07 2.5773120506237864e+07 2.5756665016836353e+07 2.5736825367432620e+07 2.5713024506629959e+07 2.5684587912372839e+07 2.5650724522501830e+07 2.5610511916027393e+07 2.5562859299332254e+07 2.5506289845173076e+07 2.5438268770353470e+07 2.5355913698338218e+07 2.5257787349758469e+07 2.5142455776024655e+07 2.5007586550409619e+07 2.4850316373559996e+07 2.4667429617866475e+07 2.4455394533398844e+07 2.4210389335474715e+07 2.3928351279129855e+07 2.3605058469854396e+07 2.3236254985842008e+07 2.2817822933479521e+07 2.2346015686557420e+07 2.1817750798595503e+07 2.1230965183712032e+07 2.0585011782643989e+07 1.9826406485772047e+07 1.9005260242630783e+07 1.8129335580444109e+07 1.7209967245850574e+07 1.6261854302104693e+07 1.5302385993254401e+07 1.4350495908812780e+07 1.3425149676784664e+07 1.2543698783021478e+07 1.1720316138963526e+07 1.0964924334402081e+07 1.0282952578063671e+07 9.6756271714234836e+06 9.1401591999782417e+06 8.6712091239866484e+06 8.2621863046197230e+06 7.9059297921262952e+06 7.5955880900037251e+06 7.3248808167375112e+06 7.0885662899248917e+06 6.8819949093766017e+06 6.7015460400909912e+06 6.5439368032566952e+06 6.4067911198929641e+06 6.2877981433577230e+06 6.1850381047682129e+06 6.0970179785170313e+06 6.0221884939234080e+06 5.9590548786135521e+06 5.9065155598432831e+06 5.8632209354436407e+06 5.8281620107410681e+06 5.8001927065131664e+06 5.7783109828400519e+06 5.7611701359067429e+06 5.7474658763608290e+06 5.7362063592992956e+06 5.7264607812179513e+06 5.7173315806544553e+06 5.7108931896781549e+06 5.7043991762209544e+06 5.6977759980879398e+06 5.6908399879644029e+06 5.6836851084327605e+06 5.6761076670456817e+06 5.6683515462322365e+06 5.6597407540710503e+06 5.6505252983435653e+06 5.6405355871261870e+06 5.6296391894860612e+06 5.6176751805391405e+06 5.6044622744308170e+06 5.5897422303646784e+06 5.5735360025104964e+06 5.5552439244071692e+06 5.5347352072490696e+06 5.5117122617716724e+06 5.4858548362867897e+06 5.4568326689589331e+06 5.4243144958399236e+06 5.3879360918587223e+06 5.3477385472500091e+06 5.3030301866645999e+06 5.2539596477279617e+06 5.2006404535728069e+06 5.1434908275990058e+06 5.0832223455674769e+06 5.0211894091434479e+06 4.9594094158373168e+06 4.9011758161276486e+06 4.8506491406919472e+06 4.8143251953797331e+06 4.8012606524982294e+06 4.8246116611213051e+06 4.9035289914248306e+06 5.0670330026896438e+06 5.3610649900868172e+06 5.8630222185106231e+06 7.7790176569980837e+05 +1.3708236078693535e+01 2.5779171711659968e+07 2.5776529149350557e+07 2.5772019890647579e+07 2.5765885458488047e+07 2.5759247818810891e+07 2.5754011639422707e+07 2.5751092977806054e+07 2.5749000633910745e+07 2.5746096573857181e+07 2.5741872874482676e+07 2.5736306046019368e+07 2.5729207945420571e+07 2.5720287944688216e+07 2.5709232394734208e+07 2.5695699880678158e+07 2.5679281936949532e+07 2.5659487793874551e+07 2.5635741748315141e+07 2.5607370854582511e+07 2.5573585906854615e+07 2.5533466655481119e+07 2.5485924888165548e+07 2.5429487313293807e+07 2.5361625219716121e+07 2.5279462969547577e+07 2.5181566694847975e+07 2.5066506115962766e+07 2.4931954639215548e+07 2.4775056123474739e+07 2.4592603082314756e+07 2.4381072862496719e+07 2.4136653733186126e+07 2.3855293920317017e+07 2.3532783310126554e+07 2.3164878368715033e+07 2.2747473885926448e+07 2.2276835743278030e+07 2.1749893182104897e+07 2.1164593129567116e+07 2.0520295820316657e+07 1.9763663729876239e+07 1.8944688612056196e+07 1.8071121352979675e+07 1.7154274684477769e+07 1.6208814622940417e+07 1.5252086916896425e+07 1.4302973335497191e+07 1.3380383039322153e+07 1.2501611194937425e+07 1.1680779931989029e+07 1.0927771166306736e+07 1.0247985835462533e+07 9.6426350780462679e+06 9.1089288358799629e+06 8.6415364689732455e+06 8.2338823592223795e+06 7.8788244655945506e+06 7.5695308427130394e+06 7.2997400546511924e+06 7.0642267560302503e+06 6.8583563264170438e+06 6.6785199705747813e+06 6.5214457643334987e+06 6.3847655843245778e+06 6.2661764236479159e+06 6.1637650497082649e+06 6.0760435136233270e+06 6.0014678539196849e+06 5.9385484115298381e+06 5.8861873653441789e+06 5.8430397383288788e+06 5.8080999443813637e+06 5.7802257984314496e+06 5.7584186363065476e+06 5.7413363107928317e+06 5.7276789582435144e+06 5.7164580637814142e+06 5.7067459678078890e+06 5.6976481704541389e+06 5.6912319394807937e+06 5.6847602815264929e+06 5.6781599052883498e+06 5.6712477746997327e+06 5.6641175284192069e+06 5.6565661786205359e+06 5.6488367506339336e+06 5.6402556041322183e+06 5.6310718757627811e+06 5.6211165574544007e+06 5.6102576742053535e+06 5.5983348551622480e+06 5.5851674385751653e+06 5.5704980761795165e+06 5.5543476328568105e+06 5.5361185305988416e+06 5.5156804206150286e+06 5.4927367381730033e+06 5.4669683341273312e+06 5.4380460836714189e+06 5.4056398633174263e+06 5.3693867052613581e+06 5.3293275418141270e+06 5.2847731019404177e+06 5.2358715016760770e+06 5.1827358733253041e+06 5.1257830004520789e+06 5.0657220090425191e+06 5.0039026378760757e+06 4.9423353421065817e+06 4.8843022184971310e+06 4.8339494951543435e+06 4.7977506053112280e+06 4.7847310442261249e+06 4.8080016615666477e+06 4.8866472973146746e+06 5.0495884020287413e+06 5.3426081103640916e+06 5.8428372058385974e+06 7.7488871077382413e+05 +1.3713204401467793e+01 2.5701764137642760e+07 2.5699129330977950e+07 2.5694633428807490e+07 2.5688516933246430e+07 2.5681898264990091e+07 2.5676676256721687e+07 2.5673764208929110e+07 2.5671675460043162e+07 2.5668776866350967e+07 2.5664561892634936e+07 2.5659006969665896e+07 2.5651924374725554e+07 2.5643024182739384e+07 2.5631993483839273e+07 2.5618491656815566e+07 2.5602111195126887e+07 2.5582362480207261e+07 2.5558671154799521e+07 2.5530365846750792e+07 2.5496659203253157e+07 2.5456633142049193e+07 2.5409202027406108e+07 2.5352896096742697e+07 2.5285192699494284e+07 2.5203222924513541e+07 2.5105556309145171e+07 2.4990766235019233e+07 2.4856531929724898e+07 2.4700004396072119e+07 2.4517984272297170e+07 2.4306957982602030e+07 2.4063123828535572e+07 2.3782440982256163e+07 2.3460711083280656e+07 2.3093702955173478e+07 2.2677324037926979e+07 2.2207852685186263e+07 2.1682229789002862e+07 2.1098412252464853e+07 2.0455767568928402e+07 1.9701104458147280e+07 1.8884295692431927e+07 1.8013080507326450e+07 1.7098749634251028e+07 1.6155936086955659e+07 1.5201942196228238e+07 1.4255598022217587e+07 1.3335756397708429e+07 1.2459656327376546e+07 1.1641369318953598e+07 1.0890736760451667e+07 1.0213131438920625e+07 9.6097494168670550e+06 9.0777995359594952e+06 8.6119600642452184e+06 8.2056703870462673e+06 7.8518073351179827e+06 7.5435584685617806e+06 7.2746812477027932e+06 7.0399666191725088e+06 6.8347948986028135e+06 6.6555690952051552e+06 6.4990282056530090e+06 6.3628120375061976e+06 6.2446253987629944e+06 6.1425615722442828e+06 6.0551376696221000e+06 5.9808150214620288e+06 5.9181090655007064e+06 5.8659257202076605e+06 5.8229246187094543e+06 5.7881035726291891e+06 5.7603242785451254e+06 5.7385914373376528e+06 5.7215674438364962e+06 5.7079568459174372e+06 5.6967744482106455e+06 5.6870957250010381e+06 5.6780292281226497e+06 5.6716350846063392e+06 5.6651857089485498e+06 5.6586080599221922e+06 5.6517197306486527e+06 5.6446140369393425e+06 5.6370886932475092e+06 5.6293858707098113e+06 5.6208342727739792e+06 5.6116821678374214e+06 5.6017611297931112e+06 5.5909396380671514e+06 5.5790578740113787e+06 5.5659357979605468e+06 5.5513169512177072e+06 5.5352221097630924e+06 5.5170557770866510e+06 5.4966880430168789e+06 5.4738233639995074e+06 5.4481436898280242e+06 5.4193210289855031e+06 5.3870263947187420e+06 5.3508980723685464e+06 5.3109768368887864e+06 5.2665758136015153e+06 5.2178425986864772e+06 5.1648899349209974e+06 5.1081331707359254e+06 5.0482789903590772e+06 4.9866724849720672e+06 4.9253171900854912e+06 4.8674838860021997e+06 4.8173045450217659e+06 4.7812303010513317e+06 4.7682555744288042e+06 4.7914460637778537e+06 4.8698208948411951e+06 5.0322009366629915e+06 5.3242116813777648e+06 5.8227183040075479e+06 7.7188702218511270e+05 +1.3718172724242052e+01 2.5624568790417913e+07 2.5621941814689144e+07 2.5617459190695316e+07 2.5611360579777915e+07 2.5604760836253479e+07 2.5599552965763308e+07 2.5596647520603660e+07 2.5594562365670964e+07 2.5591669234007265e+07 2.5587462975169655e+07 2.5581919940945711e+07 2.5574852828375295e+07 2.5565972413916402e+07 2.5554966525561783e+07 2.5541495334376551e+07 2.5525152291065115e+07 2.5505448926170699e+07 2.5481812225884117e+07 2.5453572388733968e+07 2.5419943911606897e+07 2.5380010875696573e+07 2.5332690217144746e+07 2.5276515695739612e+07 2.5208970710107442e+07 2.5127193063846368e+07 2.5029755693508167e+07 2.4915235634316530e+07 2.4781317923484828e+07 2.4625160693370797e+07 2.4443572690242000e+07 2.4233049396905005e+07 2.3989799125479612e+07 2.3709791969927538e+07 2.3388841295524426e+07 2.3022728252887115e+07 2.2607372898969270e+07 2.2139066023987129e+07 2.1614760133731060e+07 2.1032422070222989e+07 2.0391426550317887e+07 1.9638728197784688e+07 1.8824081017470051e+07 1.7955212585012604e+07 1.7043391645959094e+07 1.6103218255749742e+07 1.5151951405228093e+07 1.4208369556790497e+07 1.3291269354789298e+07 1.2417833799138371e+07 1.1602083935128495e+07 1.0853820768635379e+07 1.0178389056424096e+07 9.5769698713084012e+06 9.0467709980727099e+06 8.5824796209113579e+06 8.1775501111815674e+06 7.8248781345480345e+06 7.5176707109706607e+06 7.2497041477702875e+06 7.0157856386762271e+06 6.8113103918223772e+06 6.6326931856260234e+06 6.4766839038822995e+06 6.3409302604989344e+06 6.2231448535743589e+06 6.1214274605361493e+06 6.0343002374839997e+06 5.9602297899224265e+06 5.8977366359131681e+06 5.8457304215220707e+06 5.8028753750676271e+06 5.7681726950936429e+06 5.7404879473760156e+06 5.7188291871671798e+06 5.7018633368466385e+06 5.6882993416492147e+06 5.6771553152277609e+06 5.6675098557784464e+06 5.6584745569578968e+06 5.6521024285672978e+06 5.6456752622140106e+06 5.6391202659469973e+06 5.6322556600194685e+06 5.6251744384421883e+06 5.6176750156390751e+06 5.6099987114420747e+06 5.6014765652587507e+06 5.5923559801592585e+06 5.5824691100719338e+06 5.5716848873706581e+06 5.5598440438069822e+06 5.5467671597547522e+06 5.5321986631595986e+06 5.5161592414642787e+06 5.4980554727315297e+06 5.4777578840273684e+06 5.4549719496175312e+06 5.4293807146409163e+06 5.4006573171601081e+06 5.3684739034259636e+06 5.3324700078020720e+06 5.2926862484864341e+06 5.2484381391900545e+06 5.1998727580004958e+06 5.1471024594215350e+06 5.0905411614743872e+06 5.0308931146258004e+06 4.9694987776698004e+06 4.9083547891402934e+06 4.8507206500187805e+06 4.8007141233961266e+06 4.7647641169594843e+06 4.7518340779043213e+06 4.7749447017586334e+06 4.8530496152854282e+06 5.0148704322515856e+06 5.3058755186735895e+06 5.8026653113024747e+06 7.6889665848429967e+05 +1.3723141047016311e+01 2.5547585382675752e+07 2.5544966137818649e+07 2.5540496684342757e+07 2.5534415898520581e+07 2.5527835033205874e+07 2.5522641267193548e+07 2.5519742413395550e+07 2.5517660851329934e+07 2.5514773177366760e+07 2.5510575622626740e+07 2.5505044460378755e+07 2.5497992806863621e+07 2.5489132138730042e+07 2.5478151020397037e+07 2.5464710413865801e+07 2.5448404725329924e+07 2.5428746632373892e+07 2.5405164462167948e+07 2.5376989981190227e+07 2.5343439532638770e+07 2.5303599357268840e+07 2.5256388958343867e+07 2.5200345611372687e+07 2.5132958752776429e+07 2.5051372889024511e+07 2.4954164349652119e+07 2.4839913815899208e+07 2.4706312122840472e+07 2.4550524518171243e+07 2.4369367839585606e+07 2.4159346609474059e+07 2.3916679128886897e+07 2.3637346389155507e+07 2.3317173453921672e+07 2.2951953770413712e+07 2.2537619979431447e+07 2.2070475272298411e+07 2.1547483731691558e+07 2.0966622101519186e+07 2.0327272287282899e+07 1.9576534476915527e+07 1.8764044121789727e+07 1.7897517128479131e+07 1.6988200271341205e+07 1.6050660691887947e+07 1.5102114118853522e+07 1.4161287527968312e+07 1.3246921514363544e+07 1.2376143229961565e+07 1.1562923416707885e+07 1.0817022843570372e+07 1.0143758356819753e+07 9.5442961256346609e+06 9.0158429208717719e+06 8.5530948508439865e+06 8.1495212554832492e+06 7.7980365984651688e+06 7.4918673140383530e+06 7.2248085073904507e+06 6.9916835745199798e+06 6.7879025725993598e+06 6.6098920141010424e+06 6.4544126363053732e+06 6.3191200349619193e+06 6.2017345735310288e+06 6.1003625033180723e+06 6.0135310087540643e+06 5.9397119532227963e+06 5.8774309187238403e+06 5.8256012669256460e+06 5.7828918064286439e+06 5.7483071119301887e+06 5.7207166059856741e+06 5.6991316875774032e+06 5.6822237921604374e+06 5.6687062482375586e+06 5.6576004680200601e+06 5.6479881636525104e+06 5.6389839607862132e+06 5.6326337754094591e+06 5.6262287455968093e+06 5.6196963278581575e+06 5.6128553675419623e+06 5.6057985379071683e+06 5.5983249510443807e+06 5.5906750783255836e+06 5.5821822873925371e+06 5.5730931188444486e+06 5.5632403047527010e+06 5.5524932289512139e+06 5.5406931717923060e+06 5.5276613316549221e+06 5.5131430202024942e+06 5.4971588367186449e+06 5.4791174269263046e+06 5.4588897537348233e+06 5.4361823059079973e+06 5.4106792203336712e+06 5.3820547609568452e+06 5.3499822033146443e+06 5.3141023266870975e+06 5.2744555931048356e+06 5.2303598967466736e+06 5.1819617993376348e+06 5.1293732683865847e+06 5.0730067961888332e+06 5.0135642074230621e+06 4.9523813436810169e+06 4.8914479690996446e+06 4.8340123423713651e+06 4.7841780638432866e+06 4.7483518878463358e+06 4.7354663899134723e+06 4.7584974099689359e+06 4.8363332904085517e+06 4.9975967149386276e+06 5.2875994383005286e+06 5.7826780265436452e+06 7.6591757836643432e+05 +1.3728109369790570e+01 2.5470813153527513e+07 2.5468201707322743e+07 2.5463745402988166e+07 2.5457682391912028e+07 2.5451120357246075e+07 2.5445940662556026e+07 2.5443048388784491e+07 2.5440970418498844e+07 2.5438088197828453e+07 2.5433899336384356e+07 2.5428380029340699e+07 2.5421343811569910e+07 2.5412502858524285e+07 2.5401546469704226e+07 2.5388136396652296e+07 2.5371867999295134e+07 2.5352255100185033e+07 2.5328727365110289e+07 2.5300618125638157e+07 2.5267145567947745e+07 2.5227398088439349e+07 2.5180297752742037e+07 2.5124385345533006e+07 2.5057156329582695e+07 2.4975761902310517e+07 2.4878781780114200e+07 2.4764800282603346e+07 2.4631514031062521e+07 2.4476095374173570e+07 2.4295369224538118e+07 2.4085849125182670e+07 2.3843763344512340e+07 2.3565103746709988e+07 2.3245707066407733e+07 2.2881379017210048e+07 2.2468064790608548e+07 2.2002079943668872e+07 2.1480400099122796e+07 2.0901011865997259e+07 2.0263304303525195e+07 1.9514522824634314e+07 1.8704184540991902e+07 1.7839993681173604e+07 1.6933175063135803e+07 1.5998262958944671e+07 1.5052429913007027e+07 1.4114351525469588e+07 1.3202712481173599e+07 1.2334584240514219e+07 1.1523887400780819e+07 1.0780342638831813e+07 1.0109239009810012e+07 9.5117278649057839e+06 8.9850150037935432e+06 8.5238054666690584e+06 8.1215835445194067e+06 7.7712824621237330e+06 7.4661480225530872e+06 7.1999940797719378e+06 6.9676601873378484e+06 6.7645712080887705e+06 6.5871653535022773e+06 6.4322141808129959e+06 6.2973811431390159e+06 6.1803943446658365e+06 6.0793664898961335e+06 5.9928297755441889e+06 5.9192613058707481e+06 5.8571917104296712e+06 5.8055380545941656e+06 5.7629737123565087e+06 5.7285066238369085e+06 5.7010100559752183e+06 5.6794987408817625e+06 5.6626486126661673e+06 5.6491773690234041e+06 5.6381097103067450e+06 5.6285304526722841e+06 5.6195572439652188e+06 5.6132289297092650e+06 5.6068459638955845e+06 5.6003360506913997e+06 5.5935186584886080e+06 5.5864861408434166e+06 5.5790383052241411e+06 5.5714147774031414e+06 5.5629512455084259e+06 5.5538933905389439e+06 5.5440745208251746e+06 5.5333644701758651e+06 5.5216050657420000e+06 5.5086181218846552e+06 5.4941498310808130e+06 5.4782207048097383e+06 5.4602414495759839e+06 5.4400834627539711e+06 5.4174542442687657e+06 5.3920390191908134e+06 5.3635131736430144e+06 5.3315511087679798e+06 5.2957948446618784e+06 5.2562846877589859e+06 5.2123409048095718e+06 5.1641095429122141e+06 5.1117021838588929e+06 5.0555298988704691e+06 4.9962920948055480e+06 4.9353200111867571e+06 4.8745965602637986e+06 4.8173587953504622e+06 4.7676962003788501e+06 4.7319934489710787e+06 4.7191523461614531e+06 4.7421040233104387e+06 4.8196717524072416e+06 4.9803796113310186e+06 5.2693832568153692e+06 5.7627562491068887e+06 7.6294974067051557e+05 +1.3733077692564828e+01 2.5394251646371979e+07 2.5391647967697524e+07 2.5387204841249827e+07 2.5381159563646622e+07 2.5374616310694791e+07 2.5369450654137254e+07 2.5366564948981985e+07 2.5364490569385920e+07 2.5361613797627099e+07 2.5357433618652076e+07 2.5351926149997860e+07 2.5344905344657265e+07 2.5336084075486004e+07 2.5325152375658289e+07 2.5311772784926560e+07 2.5295541615178742e+07 2.5275973831867009e+07 2.5252500437002301e+07 2.5224456324420758e+07 2.5191061519960362e+07 2.5151406571683150e+07 2.5104416102989316e+07 2.5048634400981177e+07 2.4981562943472255e+07 2.4900359606837455e+07 2.4803607488286551e+07 2.4689894538156759e+07 2.4556923152203090e+07 2.4401872765904903e+07 2.4221576350217178e+07 2.4012556449835174e+07 2.3771051278905082e+07 2.3493063550164741e+07 2.3174441641841903e+07 2.2811003503595032e+07 2.2398706844647538e+07 2.1933879552504662e+07 2.1413508753238518e+07 2.0835590884230133e+07 2.0199522123738788e+07 1.9452692770930406e+07 1.8644501811624039e+07 1.7782641787472676e+07 1.6878315575014323e+07 1.5946024621409371e+07 1.5002898364590742e+07 1.4067561139953766e+07 1.3158641860897776e+07 1.2293156452403923e+07 1.1484975525353584e+07 1.0743779808870526e+07 1.0074830685934963e+07 9.4792647750235368e+06 8.9542869470721427e+06 8.4946111817784645e+06 8.0937367035963228e+06 7.7446154615246104e+06 7.4405125819852166e+06 7.1752606187848132e+06 6.9437152383928206e+06 6.7413160660711285e+06 6.5645129773203339e+06 6.4100883158848919e+06 6.2757133678710647e+06 6.1591239536027797e+06 6.0584392101512328e+06 5.9721963305288479e+06 5.8988776429130873e+06 5.8370188081033509e+06 5.7855405832642410e+06 5.7431208929748870e+06 5.7087710320639061e+06 5.6813680994983669e+06 5.6599301499484815e+06 5.6431376017855927e+06 5.6297125078868875e+06 5.6186828463455718e+06 5.6091365274295518e+06 5.6001942113900762e+06 5.5938876965893069e+06 5.5875267224517241e+06 5.5810392400044771e+06 5.5742453386478471e+06 5.5672370532936594e+06 5.5598148844855484e+06 5.5522176152410395e+06 5.5437832464604490e+06 5.5347566024205862e+06 5.5249715658023069e+06 5.5142984189282861e+06 5.5025795339482455e+06 5.4896373391922675e+06 5.4752189050411852e+06 5.4593446555353031e+06 5.4414273511051312e+06 5.4213388222023482e+06 5.3987875766118662e+06 5.3734599240032518e+06 5.3450323690131642e+06 5.3131804346859604e+06 5.2775473778557442e+06 5.2381733499528393e+06 5.1943809824106358e+06 5.1463158094361089e+06 5.0940890283563770e+06 5.0381102940023122e+06 4.9790766033156049e+06 4.9183146088375719e+06 4.8578003933883402e+06 4.8007598417031253e+06 4.7512683674739022e+06 4.7156886360441009e+06 4.7028917828114871e+06 4.7257643771487251e+06 4.8030648339546528e+06 4.9632189485180201e+06 5.2512267912622746e+06 5.7428997789139412e+06 7.5999310437902284e+05 +1.3738046015339087e+01 2.5317900374618154e+07 2.5315304485805847e+07 2.5310874508499119e+07 2.5304846918038875e+07 2.5298322396688938e+07 2.5293170745058201e+07 2.5290291597088449e+07 2.5288220807112623e+07 2.5285349479804076e+07 2.5281177972431790e+07 2.5275682325389598e+07 2.5268676909135129e+07 2.5259875292623989e+07 2.5248968241306305e+07 2.5235619081737909e+07 2.5219425076041806e+07 2.5199902330521997e+07 2.5176483180964164e+07 2.5148504080726329e+07 2.5115186891927209e+07 2.5075624310375609e+07 2.5028743512525663e+07 2.4973092281310327e+07 2.4906178098183479e+07 2.4825165506597575e+07 2.4728640978420328e+07 2.4615196087070089e+07 2.4482538991208930e+07 2.4327856198768772e+07 2.4147988722555485e+07 2.3939468090040963e+07 2.3698542439562354e+07 2.3421225307997938e+07 2.3103376689911198e+07 2.2740826740820799e+07 2.2329545654643446e+07 2.1865873614154745e+07 2.1346809212134741e+07 2.0770358677682564e+07 2.0135925273480449e+07 1.9391043846777521e+07 1.8584995471152056e+07 1.7725460992703598e+07 1.6823621361618824e+07 1.5893945244758310e+07 1.4953519051411323e+07 1.4020915963070970e+07 1.3114709260178851e+07 1.2251859488131242e+07 1.1446187429305956e+07 1.0707334009012701e+07 1.0040533056579510e+07 9.4469065426890198e+06 8.9236584517232012e+06 8.4655117103319913e+06 8.0659804587562624e+06 7.7180353333430886e+06 7.4149607384943441e+06 7.1506078789610583e+06 6.9198484896110753e+06 6.7181369149624510e+06 6.5419346596593689e+06 6.3880348206174057e+06 6.2541164925923655e+06 6.1379231875342233e+06 6.0375804545363663e+06 5.9516304669476096e+06 5.8785607599616693e+06 5.8169120093558496e+06 5.7656086522210268e+06 5.7233331489518508e+06 5.6891001383908875e+06 5.6617905392426439e+06 5.6404257181677883e+06 5.6236905634866785e+06 5.6103114692450594e+06 5.5993196809245311e+06 5.5898061930276817e+06 5.5808946684888341e+06 5.5746098816911522e+06 5.5682708271276802e+06 5.5618057018943988e+06 5.5550352143597165e+06 5.5480510818386171e+06 5.5406544956574943e+06 5.5330833989351271e+06 5.5246780976430252e+06 5.5156825621879930e+06 5.5059312477308046e+06 5.4952948836195273e+06 5.4836163852313422e+06 5.4707187928431891e+06 5.4563500518561983e+06 5.4405304992228327e+06 5.4226749424551325e+06 5.4026556437261989e+06 5.3801821153589040e+06 5.3549417480756845e+06 5.3266121613570033e+06 5.2948699964697883e+06 5.2593597429097351e+06 5.2201213976924587e+06 5.1764799490734134e+06 5.1285804201010671e+06 5.0765336248987988e+06 5.0207478065357553e+06 4.9619175599577688e+06 4.9013649657540349e+06 4.8410592996987989e+06 4.7842153146286933e+06 4.7348944000496631e+06 4.6994372852247572e+06 4.6866845364561249e+06 4.7094783072866844e+06 4.7865123681710307e+06 4.9461145540615348e+06 5.2331298592018429e+06 5.7231084164380869e+06 7.5704762861744792e+05 +1.3743014338113346e+01 2.5241758889270648e+07 2.5239170795226697e+07 2.5234753916616838e+07 2.5228743959381491e+07 2.5222238119103216e+07 2.5217100439229947e+07 2.5214227837042484e+07 2.5212160635562718e+07 2.5209294748255286e+07 2.5205131901611064e+07 2.5199648059366580e+07 2.5192658008857056e+07 2.5183876013780981e+07 2.5172993570474416e+07 2.5159674790921513e+07 2.5143517885769650e+07 2.5124040100077931e+07 2.5100675100991871e+07 2.5072760898582473e+07 2.5039521187923603e+07 2.5000050808709297e+07 2.4953279485648572e+07 2.4897758490966443e+07 2.4831001298321489e+07 2.4750179106415041e+07 2.4653881755585898e+07 2.4540704434784591e+07 2.4408361053871218e+07 2.4254045179026131e+07 2.4074605848397214e+07 2.3866583553297736e+07 2.3626236334809076e+07 2.3349588529560938e+07 2.3032511721232843e+07 2.2670848240947548e+07 2.2260580734553326e+07 2.1798061644861352e+07 2.1280300994824134e+07 2.0705314768770725e+07 2.0072513279286075e+07 1.9329575584100708e+07 1.8525665058050673e+07 1.7668450843194775e+07 1.6769091978558101e+07 1.5842024395445544e+07 1.4904291552277656e+07 1.3974415587378001e+07 1.3070914286567751e+07 1.2210692971139921e+07 1.1407522752440415e+07 1.0671004895476926e+07 1.0006345793987028e+07 9.4146528554293998e+06 8.8931292195395697e+06 8.4365067672297433e+06 8.0383145367659787e+06 7.6915418149745790e+06 7.3894922389175883e+06 7.1260356155047370e+06 6.8960597035493404e+06 6.6950335237920051e+06 6.5194301752388608e+06 6.3660534746887004e+06 6.2325903013131721e+06 6.1167918342440175e+06 6.0167900140779866e+06 5.9311319786054157e+06 5.8583104531839658e+06 5.7968711123511111e+06 5.7457420613015685e+06 5.7036102814902598e+06 5.6694937451475486e+06 5.6422771784326630e+06 5.6209852494802698e+06 5.6043073022488980e+06 5.5909740580388503e+06 5.5800200193637116e+06 5.5705392551362384e+06 5.5616584212263022e+06 5.5553952911942722e+06 5.5490780843274146e+06 5.5426352429827349e+06 5.5358880924776783e+06 5.5289280335751548e+06 5.5215569461051971e+06 5.5140119361060821e+06 5.5056356069663577e+06 5.4966710780695397e+06 5.4869533751684343e+06 5.4763536731868405e+06 5.4647154289350612e+06 5.4518622926336089e+06 5.4375430818129480e+06 5.4217780467055310e+06 5.4039840350944148e+06 5.3840337394838138e+06 5.3616376734520113e+06 5.3364843052295847e+06 5.3082523654753249e+06 5.2766196100198589e+06 5.2412317569648726e+06 5.2021286494821226e+06 5.1586376248282799e+06 5.1109031966020875e+06 5.0590357969810907e+06 5.0034422619111910e+06 4.9448147922108714e+06 4.8844709115251349e+06 4.8243731108743716e+06 4.7677250477914689e+06 4.7185741334841549e+06 4.6832392331188442e+06 4.6705304441520255e+06 4.6932456499890210e+06 4.7700141886355309e+06 4.9290662559875119e+06 5.2150922786802659e+06 5.7033819626920475e+06 7.5411327265382872e+05 +1.3747982660887605e+01 2.5165826828377921e+07 2.5163246356670346e+07 2.5158842562600125e+07 2.5152850192159798e+07 2.5146362982631058e+07 2.5141239241387673e+07 2.5138373173552562e+07 2.5136309559492376e+07 2.5133449107721288e+07 2.5129294910905037e+07 2.5123822856616862e+07 2.5116848148538284e+07 2.5108085743649267e+07 2.5097227867859833e+07 2.5083939417194899e+07 2.5067819549071278e+07 2.5048386645246480e+07 2.5025075701857299e+07 2.4997226282835763e+07 2.4964063912907775e+07 2.4924685571692247e+07 2.4878023527503144e+07 2.4822632535193328e+07 2.4756032049372692e+07 2.4675399911947981e+07 2.4579329325745758e+07 2.4466419087543294e+07 2.4334388846815262e+07 2.4180439213754561e+07 2.4001427235401485e+07 2.3793902347995572e+07 2.3554132473850816e+07 2.3278152725106899e+07 2.2961846247239325e+07 2.2601067517019968e+07 2.2191811599249940e+07 2.1730443161756024e+07 2.1213983621228941e+07 2.0640458680813268e+07 2.0009285668596849e+07 1.9268287515712183e+07 1.8466510111693621e+07 1.7611610886191200e+07 1.6714726982404556e+07 1.5790261640861792e+07 1.4855215446950844e+07 1.3928059606423078e+07 1.3027256548589274e+07 1.2169656525811912e+07 1.1368981135461994e+07 1.0634792125318754e+07 9.9722685712336302e+06 9.3825034015808720e+06 8.8626989531205371e+06 8.4075960681386162e+06 8.0107386651298022e+06 7.6651346445176611e+06 7.3641068307671715e+06 7.1015435842568967e+06 6.8723486434055176e+06 6.6720056622266797e+06 6.4969992993798377e+06 6.3441440583931310e+06 6.2111345786414091e+06 6.0957296820808137e+06 5.9960676803626763e+06 5.9107006598701291e+06 5.8381265193115799e+06 5.7768959158114353e+06 5.7259406108799595e+06 5.6839520923473192e+06 5.6499516552128959e+06 5.6228278208363503e+06 5.6016085483538210e+06 5.5849876231128471e+06 5.5717000797532126e+06 5.5607836675254097e+06 5.5513355199242216e+06 5.5424852760922220e+06 5.5362437318086103e+06 5.5299483009791477e+06 5.5235276704255305e+06 5.5168037803925248e+06 5.5098677161321286e+06 5.5025220437066872e+06 5.4950030348995449e+06 5.4866555828748792e+06 5.4777219588158829e+06 5.4680377572136950e+06 5.4574745970922764e+06 5.4458764749229308e+06 5.4330676488723066e+06 5.4187978057217449e+06 5.4030871093459288e+06 5.3853544409967260e+06 5.3654729221442379e+06 5.3431540643399181e+06 5.3180874097849615e+06 5.2899527966751317e+06 5.2584290917426497e+06 5.2231632376599805e+06 5.1841949243224254e+06 5.1408538301818464e+06 5.0932839611020517e+06 5.0415953685759054e+06 4.9861934860394998e+06 4.9277681280310396e+06 4.8676322761963923e+06 4.8077416590633411e+06 4.7512888753044242e+06 4.7023074035978531e+06 4.6670943167813467e+06 4.6544293433978269e+06 4.6770662419554256e+06 4.7535701293867063e+06 4.9120738827985078e+06 5.1971138682502983e+06 5.6837202192352712e+06 7.5118999589827971e+05 +1.3752950983661863e+01 2.5090103698300377e+07 2.5087530671519287e+07 2.5083139938485742e+07 2.5077165121229310e+07 2.5070696492724266e+07 2.5065586657061309e+07 2.5062727112246457e+07 2.5060667084500156e+07 2.5057812063739963e+07 2.5053666505823776e+07 2.5048206222663965e+07 2.5041246833646391e+07 2.5032503987752434e+07 2.5021670638981614e+07 2.5008412466102436e+07 2.4992329571519360e+07 2.4972941471645445e+07 2.4949684489212643e+07 2.4921899739179060e+07 2.4888814572627943e+07 2.4849528105176724e+07 2.4802975144041009e+07 2.4747713920143768e+07 2.4681269857598789e+07 2.4600827429729193e+07 2.4504983195639186e+07 2.4392339552446261e+07 2.4260621877542347e+07 2.4107037810945459e+07 2.3928452392101742e+07 2.3721423983352095e+07 2.3482230366767779e+07 2.3206917405678302e+07 2.2891379780326687e+07 2.2531484082890246e+07 2.2123237764453091e+07 2.1663017682882156e+07 2.1147856612205025e+07 2.0575789938043568e+07 1.9946241969799697e+07 1.9207179175396994e+07 1.8407530172426537e+07 1.7554940669898707e+07 1.6660525930680320e+07 1.5738656549378829e+07 1.4806290316150028e+07 1.3881847614689838e+07 1.2983735655685015e+07 1.2128749777403498e+07 1.1330562219962027e+07 1.0598695356498297e+07 9.9383010622459184e+06 9.3504578702985439e+06 8.8323673558275588e+06 8.3787793294813987e+06 7.9832525720650088e+06 7.6388135607757475e+06 7.3388042622506227e+06 7.0771315417374382e+06 6.8487150730253858e+06 6.6490531005562712e+06 6.4746418080282239e+06 6.3223063526147315e+06 6.1897491097691702e+06 6.0747365199745074e+06 5.9754132455566926e+06 5.8903363056675997e+06 5.8180087556192121e+06 5.7569862190022497e+06 5.7062041018837290e+06 5.6643583838168783e+06 5.6304736719849193e+06 5.6034422707571434e+06 5.5822954198044632e+06 5.5657313316438794e+06 5.5524893404051568e+06 5.5416104317919891e+06 5.5321947941160938e+06 5.5233750401053196e+06 5.5171550107703656e+06 5.5108812845353559e+06 5.5044827918966971e+06 5.4977820860168906e+06 5.4908699376680199e+06 5.4835495968803614e+06 5.4760565039949846e+06 5.4677378343259264e+06 5.4588350137037216e+06 5.4491842034752639e+06 5.4386574653116092e+06 5.4270993335777037e+06 5.4143346723876400e+06 5.4001140349122072e+06 5.3844574990195613e+06 5.3667859726537466e+06 5.3469730048926556e+06 5.3247311019843724e+06 5.2997508765775142e+06 5.2717132707687020e+06 5.2402982585539753e+06 5.2051540031298343e+06 5.1663200417043278e+06 5.1231283861387875e+06 5.0757225362716839e+06 5.0242121641518949e+06 4.9690013053100910e+06 4.9107773958399529e+06 4.8508488902876414e+06 4.7911647768630795e+06 4.7349066317300340e+06 4.6860940466652615e+06 4.6510023737083580e+06 4.6383810721322959e+06 4.6609399203430535e+06 4.7371800249063931e+06 4.8951372634622864e+06 5.1791944469566233e+06 5.6641229881669357e+06 7.4827775790253317e+05 +1.3757919306436122e+01 2.5014588729843352e+07 2.5012023300079878e+07 2.5007645553711776e+07 2.5001688252246294e+07 2.4995238155554969e+07 2.4990142192548595e+07 2.4987289159540288e+07 2.4985232716985621e+07 2.4982383122704390e+07 2.4978246192743242e+07 2.4972797663855676e+07 2.4965853570558257e+07 2.4957130252414975e+07 2.4946321390191074e+07 2.4933093444007330e+07 2.4917047459494870e+07 2.4897704085705239e+07 2.4874500969499964e+07 2.4846780774151187e+07 2.4813772673687741e+07 2.4774577915872615e+07 2.4728133842102483e+07 2.4673002152743597e+07 2.4606714230150647e+07 2.4526461167094726e+07 2.4430842872918677e+07 2.4318465337433878e+07 2.4187059654385358e+07 2.4033840479403567e+07 2.3855680827873733e+07 2.3649147969438877e+07 2.3410529524442866e+07 2.3135882083287477e+07 2.2821111833673302e+07 2.2462097453338943e+07 2.2054858746845357e+07 2.1595784727189403e+07 2.1081919489482973e+07 2.0511308065653581e+07 1.9883381712191481e+07 1.9146250097895864e+07 1.8348724781541567e+07 1.7498439743495241e+07 1.6606488381873272e+07 1.5687208690314280e+07 1.4757515741552534e+07 1.3835779207598576e+07 1.2940351218232023e+07 1.2087972352128373e+07 1.1292265648414589e+07 1.0562714247833757e+07 9.9044429417868201e+06 9.3185159515469261e+06 8.8021341318196487e+06 8.3500562684241449e+06 7.9558559865246210e+06 7.6125783032352217e+06 7.3135842822397370e+06 7.0527992451174362e+06 6.8251587568831509e+06 6.6261756096849572e+06 6.4523574777213261e+06 6.3005401388258999e+06 6.1684336804765360e+06 6.0538121374310143e+06 5.9548265023837471e+06 5.8700387114907587e+06 5.7979569599473570e+06 5.7371418217450110e+06 5.6865323357792385e+06 5.6448289587356942e+06 5.6110595994146876e+06 5.5841203330277922e+06 5.5630456693590023e+06 5.5465382339261994e+06 5.5333416465374073e+06 5.5225001190911494e+06 5.5131168849520981e+06 5.5043275208105873e+06 5.4981289358497392e+06 5.4918768429852780e+06 5.4855004156093942e+06 5.4788228177918801e+06 5.4719345068633705e+06 5.4646394145598719e+06 5.4571721525840545e+06 5.4488821708132196e+06 5.4400100525331423e+06 5.4303925240843724e+06 5.4199020883469386e+06 5.4083838158053933e+06 5.3956631745311311e+06 5.3814915812249845e+06 5.3658890281081554e+06 5.3482784430645704e+06 5.3285338014214989e+06 5.3063686008559763e+06 5.2814745209443066e+06 5.2535336040758453e+06 5.2222269278637264e+06 5.1872038720174460e+06 5.1485038216212885e+06 5.1054611141924793e+06 5.0582187452509776e+06 5.0068860086450316e+06 4.9518655465874476e+06 4.8938424245291622e+06 4.8341205847857501e+06 4.7746422973410003e+06 4.7185781520962110e+06 4.6699338994094096e+06 4.6349632418493424e+06 4.6223854687339813e+06 4.6448665227480261e+06 4.7208437101440206e+06 4.8782562274194509e+06 5.1613338343351306e+06 5.6445900721356692e+06 7.4537651835947228e+05 +1.3762887629210381e+01 2.4939281549226016e+07 2.4936723830289219e+07 2.4932358932481922e+07 2.4926419091857158e+07 2.4919987478103694e+07 2.4914905354964580e+07 2.4912058822636675e+07 2.4910005964185674e+07 2.4907161791858472e+07 2.4903033478868037e+07 2.4897596687419847e+07 2.4890667866453674e+07 2.4881964044840436e+07 2.4871179628685225e+07 2.4857981858112715e+07 2.4841972720239885e+07 2.4822673994691778e+07 2.4799524650052186e+07 2.4771868895110413e+07 2.4738937723535094e+07 2.4699834511316184e+07 2.4653499129323717e+07 2.4598496740806870e+07 2.4532364674978577e+07 2.4452300632245582e+07 2.4356907866040338e+07 2.4244795951301232e+07 2.4113701686540894e+07 2.3960846728780583e+07 2.3783112052966215e+07 2.3577073817211147e+07 2.3339029458743975e+07 2.3065046270748887e+07 2.2751041921426974e+07 2.2392907144020662e+07 2.1986674063986678e+07 2.1528743814525012e+07 2.1016171775746696e+07 2.0447012589700870e+07 1.9820704426025495e+07 1.9085499818850067e+07 1.8290093481271133e+07 1.7442107657099113e+07 1.6552613895448225e+07 1.5635917633966178e+07 1.4708891305784732e+07 1.3789853981539218e+07 1.2897102847545274e+07 1.2047323877110433e+07 1.1254091064216442e+07 1.0526848459005123e+07 9.8706938854502905e+06 9.2866773360956851e+06 8.7719989860216603e+06 8.3214266028887369e+06 7.9285486381837707e+06 7.5864286121037109e+06 7.2884466402788311e+06 7.0285464522205209e+06 6.8016794601003537e+06 6.6033729611396622e+06 6.4301460856158538e+06 6.2788451990999421e+06 6.1471880771169672e+06 6.0329563245351212e+06 5.9343072441419289e+06 5.8498076733781025e+06 5.7779709306803253e+06 5.7173625243993504e+06 5.6669251145849731e+06 5.6253636204713089e+06 5.5917092419789946e+06 5.5648618130246243e+06 5.5438591030985517e+06 5.5274081366017060e+06 5.5142568052205369e+06 5.5034525368645936e+06 5.4941016001956360e+06 5.4853425262967283e+06 5.4791653153370712e+06 5.4729347848367775e+06 5.4665803502935460e+06 5.4599257846826511e+06 5.4530612329226071e+06 5.4457913062067134e+06 5.4383497903904170e+06 5.4300884023443554e+06 5.4212468856185861e+06 5.4116625296983654e+06 5.4012082772150571e+06 5.3897297330215890e+06 5.3770529671646701e+06 5.3629302570203776e+06 5.3473815095193246e+06 5.3298316657526447e+06 5.3101551259375932e+06 5.2880663759288481e+06 5.2632581587353731e+06 5.2354136134152832e+06 5.2042149175834320e+06 5.1693126634542616e+06 5.1307460845550587e+06 5.0878518363288213e+06 5.0407724116707733e+06 4.9896167274789801e+06 4.9347860372082433e+06 4.8769630434657754e+06 4.8174471911278423e+06 4.7581740540084196e+06 4.7023032718724869e+06 4.6538267989964606e+06 4.6189767595918030e+06 4.6064423720397549e+06 4.6288458872129377e+06 4.7045610204884289e+06 4.8614306045731474e+06 5.1435318504286697e+06 5.6251212743224474e+06 7.4248623710266920e+05 +1.3767855951984640e+01 2.4864181697629128e+07 2.4861631597253457e+07 2.4857279593013335e+07 2.4851357147911634e+07 2.4844943968231723e+07 2.4839875652248863e+07 2.4837035609689280e+07 2.4834986334202640e+07 2.4832147579248622e+07 2.4828027872218117e+07 2.4822602801344004e+07 2.4815689229357798e+07 2.4807004873027407e+07 2.4796244862466257e+07 2.4783077216458123e+07 2.4767104861813124e+07 2.4747850706674960e+07 2.4724755039008483e+07 2.4697163610265445e+07 2.4664309230460998e+07 2.4625297399857618e+07 2.4579070514197804e+07 2.4524197192950744e+07 2.4458220700929023e+07 2.4378345334255882e+07 2.4283177684324671e+07 2.4171330903716829e+07 2.4040547484037619e+07 2.3888056069614943e+07 2.3710745578520883e+07 2.3505201038495585e+07 2.3267729682308514e+07 2.2994409481812164e+07 2.2681169558568563e+07 2.2323912671485562e+07 2.1918683234248601e+07 2.1461894465641096e+07 2.0950612994544521e+07 2.0382903037226882e+07 1.9758209642471798e+07 1.9024927874894187e+07 1.8231635814815301e+07 1.7385943961806387e+07 1.6498902031794546e+07 1.5584782951569034e+07 1.4660416592423325e+07 1.3744071533847110e+07 1.2853990155883409e+07 1.2006803980360132e+07 1.1216038111645630e+07 1.0491097650559641e+07 9.8370535696930178e+06 9.2549417155152317e+06 8.7419616241476741e+06 8.2928900515455352e+06 7.9013302574354997e+06 7.5603642282703230e+06 7.2633910866006752e+06 7.0043729215340447e+06 6.7782769484319473e+06 6.5806449270817460e+06 6.4080074094697749e+06 6.2572213161097011e+06 6.1260120866330266e+06 6.0121688719405001e+06 5.9138552646857314e+06 5.8296429879384842e+06 5.7580504667569213e+06 5.6976481278794212e+06 5.6473822408479676e+06 5.6059621729497854e+06 5.5724224047053577e+06 5.5456665166506749e+06 5.5247355276241237e+06 5.5083408468181705e+06 5.4952346240630094e+06 5.4844674930807734e+06 5.4751487481555659e+06 5.4664198651565453e+06 5.4602639580455413e+06 5.4540549191282019e+06 5.4477224052029876e+06 5.4410907961759381e+06 5.4342499255763190e+06 5.4270050818005102e+06 5.4195892276579039e+06 5.4113563394463211e+06 5.4025453237971086e+06 5.3929940314933714e+06 5.3825758434613431e+06 5.3711368971726447e+06 5.3585038626695462e+06 5.3444298751708688e+06 5.3289347566676252e+06 5.3114454547432773e+06 5.2918367931566751e+06 5.2698242426940510e+06 5.2451016063017948e+06 5.2173531161089549e+06 5.1862620461241994e+06 5.1514801970661394e+06 5.1130466514752414e+06 5.0703003750155000e+06 5.0233833596451012e+06 4.9724041465465492e+06 4.9177626049878709e+06 4.8601390824766904e+06 4.8008285412250832e+06 4.7417598808443239e+06 4.6860818269823818e+06 4.6377725830447143e+06 4.6030427657626867e+06 4.5905516213099863e+06 4.6128778522258354e+06 4.6883317917849375e+06 4.8446602253004694e+06 5.1257883157607503e+06 5.6057163984548589e+06 7.3960687410592777e+05 +1.3772824274758898e+01 2.4789288603136130e+07 2.4786746050612718e+07 2.4782407036252163e+07 2.4776501929314487e+07 2.4770107134625733e+07 2.4765052593149722e+07 2.4762219029595472e+07 2.4760173335908890e+07 2.4757339993748005e+07 2.4753228881690297e+07 2.4747815514481537e+07 2.4740917168120120e+07 2.4732252245858036e+07 2.4721516600438260e+07 2.4708379027911834e+07 2.4692443393096492e+07 2.4673233730610918e+07 2.4650191645347677e+07 2.4622664428664189e+07 2.4589886703595027e+07 2.4550966090750769e+07 2.4504847506046869e+07 2.4450103018678021e+07 2.4384281817652356e+07 2.4304594782977905e+07 2.4209651837941755e+07 2.4098069705157708e+07 2.3967596557785999e+07 2.3815468013302792e+07 2.3638580916463412e+07 2.3433529145959437e+07 2.3196629708703477e+07 2.2923971231036481e+07 2.2611494260982469e+07 2.2255113553136878e+07 2.1850885777020875e+07 2.1395236202195946e+07 2.0885242670376979e+07 2.0318978936114512e+07 1.9695896893627319e+07 1.8964533803521235e+07 1.8173351326282233e+07 1.7329948209624831e+07 1.6445352352282058e+07 1.5533804215321070e+07 1.4612091186032433e+07 1.3698431462788215e+07 1.2811012756425537e+07 1.1966412290841667e+07 1.1178106435854042e+07 1.0455461483917598e+07 9.8035216717856303e+06 9.2233087822074722e+06 8.7120217526811175e+06 8.2644463338209186e+06 7.8742005754012773e+06 7.5343848933280380e+06 7.2384173720992710e+06 6.9802784121775366e+06 6.7549509882636331e+06 6.5579912802671613e+06 6.3859412276446503e+06 6.2356682731135786e+06 6.1049054965492804e+06 5.9914495708599407e+06 5.8934703584363041e+06 5.8095444523243373e+06 5.7381953676601388e+06 5.6779984336382523e+06 5.6279035176647035e+06 5.5866244206123343e+06 5.5531988931401391e+06 5.5265342503502583e+06 5.5056747500707414e+06 5.4893361722615194e+06 5.4762749111955892e+06 5.4655447962478641e+06 5.4562581376465932e+06 5.4475593465180555e+06 5.4414246733205970e+06 5.4352370554114794e+06 5.4289263901261697e+06 5.4223176622861782e+06 5.4155003950698972e+06 5.4082805518484637e+06 5.4008902751396829e+06 5.3926857931706114e+06 5.3839051784269046e+06 5.3743868411510633e+06 5.3640045991339665e+06 5.3526051207059864e+06 5.3400156739401752e+06 5.3259902490651319e+06 5.3105485834823409e+06 5.2931196245728647e+06 5.2735786183014568e+06 5.2516420171389440e+06 5.2270046804979425e+06 5.1993519299843311e+06 5.1683681323964102e+06 5.1337062929788372e+06 5.0954053438553065e+06 5.0528065532154851e+06 5.0060514137751954e+06 4.9552480922290245e+06 4.9007950782098472e+06 4.8433703718533199e+06 4.7842644674416445e+06 4.7253996122785043e+06 4.6699136538011329e+06 4.6217710896139769e+06 4.5871610996428011e+06 4.5747130562605802e+06 4.5969622567183608e+06 4.6721558603332546e+06 4.8279449204308940e+06 5.1081030513530197e+06 5.5863752487915196e+06 7.3673838948282262e+05 +1.3777792597533157e+01 2.4714601822710793e+07 2.4712066859221309e+07 2.4707740754644580e+07 2.4701852945700344e+07 2.4695476486986410e+07 2.4690435687286522e+07 2.4687608592128996e+07 2.4685566479087014e+07 2.4682738545101516e+07 2.4678636016951572e+07 2.4673234336552978e+07 2.4666351192414016e+07 2.4657705673004989e+07 2.4646994352270104e+07 2.4633886802189436e+07 2.4617987823859956e+07 2.4598822576253425e+07 2.4575833978900138e+07 2.4548370860185172e+07 2.4515669652842104e+07 2.4476840094044253e+07 2.4430829615082052e+07 2.4376213728294902e+07 2.4310547535659768e+07 2.4231048489151258e+07 2.4136329837915175e+07 2.4025011866965644e+07 2.3894848419535957e+07 2.3743082072052944e+07 2.3566617579622958e+07 2.3362057653152958e+07 2.3125729052308235e+07 2.2853731033906069e+07 2.2542015545385242e+07 2.2186509307312913e+07 2.1783281212505206e+07 2.1328768546734940e+07 2.0820060328636404e+07 2.0255239815229382e+07 1.9633765712494180e+07 1.8904317143231008e+07 1.8115239560754288e+07 1.7274119953528013e+07 1.6391964419214796e+07 1.5482980998382142e+07 1.4563914672079740e+07 1.3652933367573310e+07 1.2768170263281357e+07 1.1926148438407676e+07 1.1140295682907676e+07 1.0419939621368105e+07 9.7700978698367476e+06 9.1917782293497082e+06 8.6821790788815040e+06 8.2360951698693912e+06 7.8471593239124045e+06 7.5084903495626543e+06 7.2135252483510748e+06 6.9562626839488531e+06 6.7317013466219027e+06 6.5354117940940149e+06 6.3639473191025220e+06 6.2141858539512632e+06 6.0838680949634928e+06 5.9707982130932501e+06 5.8731523203816507e+06 5.7895118642580304e+06 5.7184054334343188e+06 5.6584132436763896e+06 5.6084887486741142e+06 5.5673501684454940e+06 5.5340385133730602e+06 5.5074648210810218e+06 5.4866765781084122e+06 5.4703939211416412e+06 5.4573774752775831e+06 5.4466842553912001e+06 5.4374295780227911e+06 5.4287607800308811e+06 5.4226472710261196e+06 5.4164810037711086e+06 5.4101921153557533e+06 5.4036061935456535e+06 5.3968124521802543e+06 5.3896175273721293e+06 5.3822527441252908e+06 5.3740765750849480e+06 5.3653262613850879e+06 5.3558407708870918e+06 5.3454943568063164e+06 5.3341342165899351e+06 5.3215882143861484e+06 5.3076111926004943e+06 5.2922228043946745e+06 5.2748539902932569e+06 5.2553804170953464e+06 5.2335195157612525e+06 5.2089671986780679e+06 5.1814098733623158e+06 5.1505329958058363e+06 5.1159907718127687e+06 5.0778219836459039e+06 5.0353701943674656e+06 4.9887763991300082e+06 4.9381483913779370e+06 4.8838832856288692e+06 4.8266567423684932e+06 4.7677548026080625e+06 4.7090930831963513e+06 4.6537985891538663e+06 4.6058221572099291e+06 4.5713316009387122e+06 4.5589265170376832e+06 4.5810989400611697e+06 4.6560330628763735e+06 4.8112845212717811e+06 5.0904758787223212e+06 5.5670976301362989e+06 7.3388074348624027e+05 +1.3782760920307416e+01 2.4640121033136722e+07 2.4637593563461553e+07 2.4633280253006700e+07 2.4627409706913825e+07 2.4621051535890438e+07 2.4616024445115149e+07 2.4613203807878859e+07 2.4611165274299122e+07 2.4608342743859060e+07 2.4604248788537614e+07 2.4598858778074667e+07 2.4591990812785979e+07 2.4583364664970104e+07 2.4572677628494095e+07 2.4559600049846422e+07 2.4543737664643306e+07 2.4524616754250355e+07 2.4501681550291494e+07 2.4474282415512770e+07 2.4441657589048561e+07 2.4402918920610659e+07 2.4357016352275677e+07 2.4302528832968581e+07 2.4237017366281979e+07 2.4157705964373503e+07 2.4063211196044613e+07 2.3952156901320349e+07 2.3822302581859317e+07 2.3670897758958988e+07 2.3494855081705958e+07 2.3290786074457809e+07 2.3055027228409458e+07 2.2783688406736732e+07 2.2472732929416053e+07 2.2118099453199890e+07 2.1715869061834719e+07 2.1262491022723895e+07 2.0755065495616753e+07 2.0191685204346042e+07 1.9571815633044213e+07 1.8844277433419950e+07 1.8057300064247228e+07 1.7218458747466668e+07 1.6338737795869684e+07 1.5432312874863204e+07 1.4515886637031803e+07 1.3607576848375840e+07 1.2725462291497288e+07 1.1886012053829042e+07 1.1102605499739580e+07 1.0384531726032903e+07 9.7367818427812960e+06 9.1603497509459611e+06 8.6524333107850943e+06 8.2078362806069357e+06 7.8202062355278237e+06 7.4826803399498845e+06 7.1887144675909039e+06 6.9323254972739983e+06 6.7085277911524046e+06 6.5129062425595429e+06 6.3420254634147855e+06 6.1927738430697965e+06 6.0628996705589853e+06 5.9502145910095852e+06 5.8529009460549373e+06 5.7695450220034374e+06 5.6986804646669747e+06 5.6388923605391607e+06 5.5891377380482452e+06 5.5481392219795408e+06 5.5149410720229838e+06 5.4884580363482200e+06 5.4677408199239783e+06 5.4515139022126710e+06 5.4385421254923381e+06 5.4278856800588900e+06 5.4186628791550510e+06 5.4100239758730233e+06 5.4039315615531830e+06 5.3977865748132784e+06 5.3915193917175615e+06 5.3849562010082165e+06 5.3781859081958514e+06 5.3710158199123880e+06 5.3636764464079253e+06 5.3555284972764375e+06 5.3468083850628417e+06 5.3373556334184073e+06 5.3270449295571689e+06 5.3157239983120561e+06 5.3032212979285913e+06 5.2892925201868005e+06 5.2739572343618451e+06 5.2566483674523830e+06 5.2372420057830522e+06 5.2154565555577232e+06 5.1909889787029168e+06 5.1635267650626488e+06 5.1327564562531328e+06 5.0983334546699561e+06 5.0602963932917416e+06 5.0179911224043136e+06 4.9715581412766092e+06 4.9211048713229932e+06 4.8670270564701939e+06 4.8099980252385000e+06 4.7512993800067445e+06 4.6928401289344765e+06 4.6377364703054298e+06 4.5899256247799201e+06 4.5555541098106466e+06 4.5431918442322183e+06 4.5652877420679089e+06 4.6399632366060046e+06 4.7946788595837746e+06 5.0729066198630240e+06 5.5478833478208352e+06 7.3103389650792640e+05 +1.3787729243081674e+01 2.4565845456418816e+07 2.4563325555094022e+07 2.4559025050808102e+07 2.4553171723009687e+07 2.4546831792884447e+07 2.4541818377935134e+07 2.4539004188292831e+07 2.4536969232940853e+07 2.4534152101418864e+07 2.4530066707865641e+07 2.4524688350414239e+07 2.4517835540572308e+07 2.4509228733135227e+07 2.4498565940470994e+07 2.4485518282240823e+07 2.4469692426853120e+07 2.4450615775994193e+07 2.4427733871047307e+07 2.4400398606249072e+07 2.4367850023836162e+07 2.4329202082184255e+07 2.4283407229502868e+07 2.4229047844684515e+07 2.4163690821739394e+07 2.4084566721047025e+07 2.3990295425088450e+07 2.3879504321307879e+07 2.3749958558244105e+07 2.3598914587961100e+07 2.3423292937237050e+07 2.3219713925144751e+07 2.2984523753147054e+07 2.2713842866760030e+07 2.2403645931584593e+07 2.2049883510885149e+07 2.1648648846994936e+07 2.1196403154515654e+07 2.0690257698532391e+07 2.0128314634123303e+07 1.9510046190158412e+07 1.8784414214447740e+07 1.7999532383730486e+07 1.7162964146314852e+07 1.6285672046480056e+07 1.5381799419834349e+07 1.4468006668272983e+07 1.3562361506291715e+07 1.2682888457044749e+07 1.1846002768780183e+07 1.1065035534206232e+07 1.0349237461921554e+07 9.7035732704053894e+06 9.1290230417832267e+06 8.6227841571946070e+06 8.1796693876873273e+06 7.7933410435192874e+06 7.4569546081638215e+06 7.1639847827330902e+06 6.9084666132428646e+06 6.6854300901435167e+06 6.4904744002770549e+06 6.3201754407461062e+06 6.1714320254883142e+06 6.0420000125947110e+06 5.9296984975285400e+06 5.8327160315695712e+06 5.7496437243822226e+06 5.6790202624784624e+06 5.6194355873022825e+06 5.5698502904945621e+06 5.5289913872594303e+06 5.4959063762367014e+06 5.4695137041768003e+06 5.4488672842363203e+06 5.4326959247285370e+06 5.4197686715429667e+06 5.4091488803294310e+06 5.3999578514319891e+06 5.3913487447389280e+06 5.3852773558024466e+06 5.3791535796521166e+06 5.3729080305549195e+06 5.3663674962413311e+06 5.3596205749236150e+06 5.3524752415314671e+06 5.3451611943076383e+06 5.3370413723408924e+06 5.3283513623658977e+06 5.3189312419846049e+06 5.3086561309912642e+06 5.2973742798612015e+06 5.2849147389969267e+06 5.2710340467424169e+06 5.2557516888307016e+06 5.2385025721177962e+06 5.2191632010993240e+06 5.1974529540351089e+06 5.1730698389303051e+06 5.1457024244052898e+06 5.1150383341348171e+06 5.0807341631597485e+06 5.0428283957240451e+06 5.0006691617346127e+06 4.9543964662430929e+06 4.9041173598633436e+06 4.8502262204280775e+06 4.7933940521600461e+06 4.7348980333857136e+06 4.6766405852789851e+06 4.6217271349794650e+06 4.5740813317144783e+06 4.5398284668498514e+06 4.5275088788673775e+06 4.5495285029925043e+06 4.6239462191615244e+06 4.7781277675936557e+06 5.0553950972686354e+06 5.5287322077162815e+06 7.2819780907802819e+05 +1.3792697565855933e+01 2.4491774985775657e+07 2.4489262331287909e+07 2.4484974662389569e+07 2.4479138504776128e+07 2.4472816770382725e+07 2.4467816997957733e+07 2.4465009245652385e+07 2.4462977867276695e+07 2.4460166130014420e+07 2.4456089287100967e+07 2.4450722565764148e+07 2.4443884887961928e+07 2.4435297389697731e+07 2.4424658800383959e+07 2.4411641011603113e+07 2.4395851622759718e+07 2.4376819153777488e+07 2.4353990453469910e+07 2.4326718944768906e+07 2.4294246469671227e+07 2.4255689091340072e+07 2.4210001759460956e+07 2.4155770276303574e+07 2.4090567415027220e+07 2.4011630272442330e+07 2.3917582038579613e+07 2.3807053640762221e+07 2.3677815862967152e+07 2.3527132073864046e+07 2.3351930661612306e+07 2.3148840721358664e+07 2.2914218143541653e+07 2.2644193932029631e+07 2.2334754071268171e+07 2.1981861001342628e+07 2.1581620090901561e+07 2.1130504467350099e+07 2.0625636465509765e+07 2.0065127636158854e+07 1.9448456919626299e+07 1.8724727027576070e+07 1.7941936067093696e+07 1.7107635705895606e+07 1.6232766736213498e+07 1.5331440209302172e+07 1.4420274354133716e+07 1.3517286943356976e+07 1.2640448376818981e+07 1.1806120215841878e+07 1.1027585434987746e+07 1.0314056493888818e+07 9.6704718333089259e+06 9.0977977974637561e+06 8.5932313276899680e+06 8.1515942135065328e+06 7.7665634818691555e+06 7.4313128985651126e+06 7.1393359473577524e+06 6.8846857935807491e+06 6.6624080125133973e+06 6.4681160424778527e+06 6.2983970318630431e+06 6.1501601868257988e+06 6.0211689109041542e+06 5.9092497261566548e+06 5.8125973735790923e+06 5.7298077707632473e+06 5.6594246285593407e+06 5.6000427275977749e+06 5.5506262112640711e+06 5.5099064708821531e+06 5.4769342336927913e+06 5.4506316331246747e+06 5.4300557802853780e+06 5.4139397984788828e+06 5.4010569236624390e+06 5.3904736667984715e+06 5.3813143057777677e+06 5.3727348978402717e+06 5.3666844652062915e+06 5.3605818299379945e+06 5.3543578437261675e+06 5.3478398913380252e+06 5.3411162646892676e+06 5.3339956048018150e+06 5.3267068006561929e+06 5.3186150133989798e+06 5.3099550067116674e+06 5.3005674103374593e+06 5.2903277752161706e+06 5.2790848757468080e+06 5.2666683525355086e+06 5.2528355876957141e+06 5.2376059837688543e+06 5.2204164208539529e+06 5.2011438202893576e+06 5.1795085291978549e+06 5.1552095982179372e+06 5.1279366712114410e+06 5.0973784503410384e+06 5.0631927193700159e+06 5.0254178143614465e+06 4.9834041372531578e+06 4.9372912005491005e+06 4.8871856852766071e+06 4.8334806076690545e+06 4.7768446552859042e+06 4.7185505969425822e+06 4.6604942884766366e+06 4.6057704213346122e+06 4.5582891178468792e+06 4.5241545130866272e+06 4.5118774624057487e+06 4.5338210635241186e+06 4.6079818486329606e+06 4.7616310779903885e+06 5.0379411339182854e+06 5.5096440162262823e+06 7.2537244186464103e+05 +1.3797665888630192e+01 2.4417908683983430e+07 2.4415403488992907e+07 2.4411128602943938e+07 2.4405309564452119e+07 2.4399005981613811e+07 2.4394019818309087e+07 2.4391218493083209e+07 2.4389190690377604e+07 2.4386384342682347e+07 2.4382316039279561e+07 2.4376960937135298e+07 2.4370138368011493e+07 2.4361570147650402e+07 2.4350955721308012e+07 2.4337967750974663e+07 2.4322214765415113e+07 2.4303226400738213e+07 2.4280450810744297e+07 2.4253242944291063e+07 2.4220846439848620e+07 2.4182379461510926e+07 2.4136799455656644e+07 2.4082695641518332e+07 2.4017646660031486e+07 2.3938896132671982e+07 2.3845070550910469e+07 2.3734804374456406e+07 2.3605874011173382e+07 2.3455549732324325e+07 2.3280767771098133e+07 2.3078165980049983e+07 2.2844109917437311e+07 2.2574741121526666e+07 2.2266056868745290e+07 2.1914031446432203e+07 2.1514782317368701e+07 2.1064794487396348e+07 2.0561201325573314e+07 2.0002123742973074e+07 1.9387047358165160e+07 1.8665215415027283e+07 1.7884510663206413e+07 1.7052472982989196e+07 1.6180021431199620e+07 1.5281234820244042e+07 1.4372689283914957e+07 1.3472352762553807e+07 1.2598141668639546e+07 1.1766364028519472e+07 1.0990254851707544e+07 1.0278988487654191e+07 9.6374772129348498e+06 9.0666737143755779e+06 8.5637745326231774e+06 8.1236104811988333e+06 7.7398732852802547e+06 7.4057549561980097e+06 7.1147677157026781e+06 6.8609828006656021e+06 6.6394613277951665e+06 6.4458309450041419e+06 6.2766900181370759e+06 6.1289581132758390e+06 6.0004061558921076e+06 5.8888680709486390e+06 5.7925447693067947e+06 5.7100369610793609e+06 5.6398933651155755e+06 5.5807135855846163e+06 5.5314653061335357e+06 5.4908842799652088e+06 5.4580244525997089e+06 5.4318116322666137e+06 5.4113061178453164e+06 5.3952453337786477e+06 5.3824066926044021e+06 5.3718598505780967e+06 5.3627320536156995e+06 5.3541822469149139e+06 5.3481527017111452e+06 5.3420711378285093e+06 5.3358686436104421e+06 5.3293731989041967e+06 5.3226727903395724e+06 5.3155767228155900e+06 5.3083130787979662e+06 5.3002492340786112e+06 5.2916191320403796e+06 5.2822639527385375e+06 5.2720596768523632e+06 5.2608556009770539e+06 5.2484819539921694e+06 5.2346969589852830e+06 5.2195199356422322e+06 5.2023897307294272e+06 5.1831836810974060e+06 5.1616230995446704e+06 5.1374080759261856e+06 5.1102293257904816e+06 5.0797766262556314e+06 5.0457089458800526e+06 5.0080644731094791e+06 4.9661958743397575e+06 4.9202421711855195e+06 4.8703096763073541e+06 4.8167900488175349e+06 4.7603496672245581e+06 4.7022569053387241e+06 4.6444010752179911e+06 4.5898661679816181e+06 4.5425488234497132e+06 4.5085320899923556e+06 4.4962974367509093e+06 4.5181652647964200e+06 4.5920699635466076e+06 4.7451886239170134e+06 5.0205445532791195e+06 5.4906185802868055e+06 7.2255775567335892e+05 +1.3802634211404451e+01 2.4344246251935851e+07 2.4341748610726267e+07 2.4337486395043358e+07 2.4331684416023001e+07 2.4325398940658964e+07 2.4320426352913838e+07 2.4317631444517646e+07 2.4315607216143478e+07 2.4312806253342330e+07 2.4308746478310481e+07 2.4303402978419948e+07 2.4296595494548067e+07 2.4288046520881709e+07 2.4277456217082568e+07 2.4264498014265839e+07 2.4248781368739780e+07 2.4229837030800749e+07 2.4207114456845719e+07 2.4179970118894193e+07 2.4147649448538482e+07 2.4109272706911761e+07 2.4063799832502913e+07 2.4009823454839349e+07 2.3944928071493689e+07 2.3866363816693887e+07 2.3772760477305654e+07 2.3662756037953231e+07 2.3534132518879447e+07 2.3384167079831336e+07 2.3209803782800842e+07 2.3007689219114516e+07 2.2774198593614716e+07 2.2505483955057662e+07 2.2197553845120002e+07 2.1846394368885498e+07 2.1448135051033381e+07 2.0999272741700552e+07 2.0496951808641642e+07 1.9939302488001093e+07 1.9325817043454226e+07 1.8605878919944189e+07 1.7827255721823364e+07 1.6997475535314355e+07 1.6127435698513001e+07 1.5231182830579966e+07 1.4325251047850288e+07 1.3427558567802042e+07 1.2555967951255752e+07 1.1726733841197427e+07 1.0953043434827955e+07 1.0244033109777682e+07 9.6045890915328655e+06 9.0356504897192847e+06 8.5344134830941502e+06 8.0957179146391060e+06 7.7132701891621472e+06 7.3802805268014371e+06 7.0902798426827239e+06 6.8373573975205151e+06 6.6165898061597720e+06 6.4236188843044229e+06 6.2550541815154841e+06 6.1078255916221207e+06 5.9797115385382576e+06 5.8685533265345301e+06 5.7725580165276406e+06 5.6903310957836164e+06 5.6204262749263225e+06 5.5614479659637539e+06 5.5123673814208014e+06 5.4719246221557325e+06 5.4391768416955099e+06 5.4130535112102171e+06 5.3926181072059646e+06 5.3766123414585926e+06 5.3638177896361891e+06 5.3533072433099439e+06 5.3442109069056613e+06 5.3356906042113164e+06 5.3296818777803052e+06 5.3236213159959493e+06 5.3174402431017747e+06 5.3109672320586070e+06 5.3042899652239466e+06 5.2972184091850733e+06 5.2899798425944671e+06 5.2819438485237714e+06 5.2733435527895307e+06 5.2640206839566519e+06 5.2538516510343477e+06 5.2426862710856134e+06 5.2303553593295701e+06 5.2166179770495091e+06 5.2014933614250319e+06 5.1844223193182219e+06 5.1652826017756341e+06 5.1437964840845224e+06 5.1196650919020455e+06 5.0925802089475431e+06 5.0622326837540744e+06 5.0282826657624040e+06 4.9907681963513512e+06 4.9490441988474280e+06 4.9032492056243494e+06 4.8534891621817872e+06 4.8001543749724524e+06 4.7439089210544508e+06 4.6860167936826171e+06 4.6283607826395901e+06 4.5740142139765183e+06 4.5268602892346457e+06 4.4929610394727951e+06 4.4807686442333488e+06 4.5025609483758062e+06 4.5762104028817574e+06 4.7288002389856633e+06 5.0032051792974966e+06 5.4716557073655240e+06 7.1975371144681890e+05 +1.3807602534178709e+01 2.4270787346618131e+07 2.4268297121915374e+07 2.4264047544930551e+07 2.4258262574780423e+07 2.4251995162282467e+07 2.4247036116680801e+07 2.4244247614766721e+07 2.4242226959338065e+07 2.4239431376709495e+07 2.4235380118850295e+07 2.4230048204303008e+07 2.4223255782275029e+07 2.4214726024078630e+07 2.4204159802416485e+07 2.4191231316168267e+07 2.4175550947470956e+07 2.4156650558761686e+07 2.4133980906638540e+07 2.4106899983468276e+07 2.4074655010721177e+07 2.4036368342649966e+07 2.3991002405158624e+07 2.3937153231621735e+07 2.3872411164939962e+07 2.3794032840314150e+07 2.3700651333875425e+07 2.3590908147701502e+07 2.3462590902929131e+07 2.3312983633767087e+07 2.3139038214686479e+07 2.2937409957233552e+07 2.2704483691659406e+07 2.2436421953309193e+07 2.2129244522443537e+07 2.1778949292307649e+07 2.1381677817509450e+07 2.0933938758229509e+07 2.0432887445567802e+07 1.9876663405569710e+07 1.9264765514055725e+07 1.8546717086419284e+07 1.7770170793698706e+07 1.6942642921550430e+07 1.6075009106183251e+07 1.5181283819167404e+07 1.4277959237123830e+07 1.3382903963963445e+07 1.2513926844324075e+07 1.1687229289181175e+07 1.0915950835722037e+07 1.0209190027697816e+07 9.5718071521866340e+06 9.0047278214650340e+06 8.5051478909866679e+06 8.0679162384429434e+06 7.6867539296387136e+06 7.3548893567910055e+06 7.0658720838650325e+06 6.8138093478099257e+06 6.5937932184033673e+06 6.4014796374465572e+06 6.2334893045641361e+06 6.0867624092290532e+06 5.9590848503953293e+06 5.8483052880985383e+06 5.7526369135655733e+06 5.6706899759057723e+06 5.6010231612889776e+06 5.5422456739752265e+06 5.4933322439771434e+06 5.4530273056354206e+06 5.4203912102366248e+06 5.3943570800872529e+06 5.3739915591793545e+06 5.3580406328784768e+06 5.3452900265525831e+06 5.3348156571443984e+06 5.3257506781165628e+06 5.3172597824996626e+06 5.3112718063865341e+06 5.3052321776362266e+06 5.2990724556051418e+06 5.2926218044397365e+06 5.2859676032163734e+06 5.2789204780214718e+06 5.2717069064180255e+06 5.2636986713893022e+06 5.2551280839212127e+06 5.2458374192853542e+06 5.2357035133991009e+06 5.2245767020990551e+06 5.2122883850050205e+06 5.1985984588329000e+06 5.1835260785929346e+06 5.1665140047005611e+06 5.1474404010684947e+06 5.1260285023205755e+06 5.1019804664965253e+06 5.0749891419806341e+06 5.0447464451952158e+06 5.0109137025676174e+06 4.9735288089667493e+06 4.9319489371149447e+06 4.8863121318023102e+06 4.8367239725800101e+06 4.7835734176921211e+06 4.7275222503094980e+06 4.6698300975355217e+06 4.6123732483343631e+06 4.5582143988100551e+06 4.5112233563490007e+06 4.4774412038616929e+06 4.4652909276219327e+06 4.4870079562620604e+06 4.5604030060568331e+06 4.7124657572555766e+06 4.9859228364112824e+06 5.4527552054581447e+06 7.1696027026425675e+05 +1.3812570856952968e+01 2.4197531394019917e+07 2.4195048531187527e+07 2.4190811546874799e+07 2.4185043556701429e+07 2.4178794162055407e+07 2.4173848625315029e+07 2.4171066519461300e+07 2.4169049435501467e+07 2.4166259228325140e+07 2.4162216476456776e+07 2.4156896130323708e+07 2.4150118746709689e+07 2.4141608172763120e+07 2.4131065992844496e+07 2.4118167172262613e+07 2.4102523017216705e+07 2.4083666500259317e+07 2.4061049675784353e+07 2.4034032053761624e+07 2.4001862642228264e+07 2.3963665884631101e+07 2.3918406689709600e+07 2.3864684488097120e+07 2.3800095456792194e+07 2.3721902720152348e+07 2.3628742637556765e+07 2.3519260221002400e+07 2.3391248681053583e+07 2.3241998912339482e+07 2.3068470585614290e+07 2.2867327713994931e+07 2.2634964732047077e+07 2.2367554637879021e+07 2.2061128423598211e+07 2.1711695741234522e+07 2.1315410143247340e+07 2.0868792065817889e+07 2.0369007768110119e+07 1.9814206030947905e+07 1.9203892309477165e+07 1.8487729459441870e+07 1.7713255430482626e+07 1.6887974701299421e+07 1.6022741223189017e+07 1.5131537365840182e+07 1.4230813443850458e+07 1.3338388556807999e+07 1.2472017968439942e+07 1.1647850008677907e+07 1.0878976706620444e+07 1.0174458909684803e+07 9.5391310788020808e+06 8.9739054084051549e+06 8.4759774689468425e+06 8.0402051779492218e+06 7.6603242435378116e+06 7.3295811932808738e+06 7.0415441954840925e+06 6.7903384158388460e+06 6.5710713359369179e+06 6.3794129820972374e+06 6.2119951704306863e+06 6.0657683540409068e+06 5.9385258835983444e+06 5.8281237513959575e+06 5.7327812593069663e+06 5.6511134030111460e+06 5.5816838280478278e+06 5.5231065153855821e+06 5.4743597011722382e+06 5.4341921391049782e+06 5.4016673680130113e+06 5.3757221495525166e+06 5.3554262851050850e+06 5.3395300199088473e+06 5.3268232156663565e+06 5.3163849047558391e+06 5.3073511802413967e+06 5.2988895950660808e+06 5.2929223010326447e+06 5.2869035364546450e+06 5.2807650950505650e+06 5.2743367301965244e+06 5.2677055187011845e+06 5.2606827439553933e+06 5.2534940851521650e+06 5.2455135178398211e+06 5.2369725408983584e+06 5.2277139745092187e+06 5.2176150800967300e+06 5.2065267105579115e+06 5.1942808479975183e+06 5.1806382217920860e+06 5.1656179051296487e+06 5.1486646054533739e+06 5.1296568982257005e+06 5.1083189742469732e+06 5.0843540205538599e+06 5.0574559466816429e+06 5.0273177334341984e+06 4.9936018803437529e+06 4.9563461363020288e+06 4.9149099159517605e+06 4.8694307781383861e+06 4.8200139376641810e+06 4.7670470090055550e+06 4.7111894889850495e+06 4.6536966529230755e+06 4.5964383103381349e+06 4.5424665624225046e+06 4.4956378663865477e+06 4.4619724259368479e+06 4.4498641301182937e+06 4.4715061308986470e+06 4.5446476129287807e+06 4.6961850132507617e+06 4.9686973495409554e+06 5.4339168830891978e+06 7.1417739334105502e+05 +1.3817539179727227e+01 2.4124477820477456e+07 2.4122002317883905e+07 2.4117777912011843e+07 2.4112026878164720e+07 2.4105795456387848e+07 2.4100863395460531e+07 2.4098087675031517e+07 2.4096074161091160e+07 2.4093289324620154e+07 2.4089255067529641e+07 2.4083946272832245e+07 2.4077183904248003e+07 2.4068692483318157e+07 2.4058174304761305e+07 2.4045305098913904e+07 2.4029697094393827e+07 2.4010884371737987e+07 2.3988320280790105e+07 2.3961365846373986e+07 2.3929271859688003e+07 2.3891164849663727e+07 2.3846012203070953e+07 2.3792416741319664e+07 2.3727980464304522e+07 2.3649972973713730e+07 2.3557033906106032e+07 2.3447811775963131e+07 2.3320105371772911e+07 2.3171212434608296e+07 2.2998100415240668e+07 2.2797442009813026e+07 2.2565641236133389e+07 2.2298881531181667e+07 2.1993205072350338e+07 2.1644633241030682e+07 2.1249331555625204e+07 2.0803832194235627e+07 2.0305312308905132e+07 1.9751929900307078e+07 1.9143196970114823e+07 1.8428915584968399e+07 1.7656509184781045e+07 1.6833470435113702e+07 1.5970631619456502e+07 1.5081943051331809e+07 1.4183813261101769e+07 1.3294011953065354e+07 1.2430240945108106e+07 1.1608595636778465e+07 1.0842120700640075e+07 1.0139839424860761e+07 9.5065605561184455e+06 8.9431829501009230e+06 8.4469019303729832e+06 8.0125844592499416e+06 7.6339808683977136e+06 7.3043557840535669e+06 7.0172959344431497e+06 6.7669443665507575e+06 6.5484239308064757e+06 6.3574186965289554e+06 6.1905715628539668e+06 6.0448432145903446e+06 5.9180344308272628e+06 5.8080085127361557e+06 5.7129908531861529e+06 5.6316011792027932e+06 5.5624080795920016e+06 5.5040302965083094e+06 5.4554495609211549e+06 5.4154189318042034e+06 5.3830051253271215e+06 5.3571485307676960e+06 5.3369220968300449e+06 5.3210803149405075e+06 5.3084171697982894e+06 5.2980147993299849e+06 5.2890122267762106e+06 5.2805798557099551e+06 5.2746331757218195e+06 5.2686352066692654e+06 5.2625179758677445e+06 5.2561118239919087e+06 5.2495035265701804e+06 5.2425050221322617e+06 5.2353411941881366e+06 5.2273882035480607e+06 5.2188767396958945e+06 5.2096501659266865e+06 5.1995861677782359e+06 5.1885361135045299e+06 5.1763325657736147e+06 5.1627370838769916e+06 5.1477686595156472e+06 5.1308739406517558e+06 5.1119319129874632e+06 5.0906677203619210e+06 5.0667855754113952e+06 5.0399804453345761e+06 5.0099463718156721e+06 4.9763470236081528e+06 4.9392200041968049e+06 4.8979269626502078e+06 4.8526049735198794e+06 4.8033588880624957e+06 4.7505749813930495e+06 4.6949104715243597e+06 4.6376162963176910e+06 4.5805558071327787e+06 4.5267705451906221e+06 4.4801036613654420e+06 4.4465545489089014e+06 4.4344880953535168e+06 4.4560553151520817e+06 4.5289440638059285e+06 4.6799578419503216e+06 4.9515285440888265e+06 5.4151405493104439e+06 7.1140504202829744e+05 +1.3822507502501486e+01 2.4051626277463086e+07 2.4049158072633471e+07 2.4044946167492539e+07 2.4039212056534365e+07 2.4032998562373627e+07 2.4028079944580328e+07 2.4025310598804299e+07 2.4023300653331030e+07 2.4020521182805941e+07 2.4016495409246333e+07 2.4011198149070986e+07 2.4004450772055510e+07 2.3995978472914889e+07 2.3985484255366113e+07 2.3972644613386493e+07 2.3957072696240481e+07 2.3938303690488704e+07 2.3915792239014514e+07 2.3888900878670529e+07 2.3856882180653043e+07 2.3818864755297337e+07 2.3773818462925702e+07 2.3720349509126548e+07 2.3656065705528531e+07 2.3578243119320244e+07 2.3485524658162352e+07 2.3376562331561480e+07 2.3249160494520772e+07 2.3100623720516134e+07 2.2927927224125661e+07 2.2727752366030857e+07 2.2496512726105668e+07 2.2230402156530567e+07 2.1925473993351445e+07 2.1577761317994770e+07 2.1183441582868848e+07 2.0739058674124938e+07 2.0241800601521164e+07 1.9689834550741147e+07 1.9082679037360057e+07 1.8370275009846207e+07 1.7599931610137552e+07 1.6779129684514645e+07 1.5918679865836199e+07 1.5032500457378387e+07 1.4136958282890510e+07 1.3249773760391673e+07 1.2388595396753883e+07 1.1569465811483542e+07 1.0805382471765088e+07 1.0105331243205322e+07 9.4740952696759216e+06 8.9125601469237730e+06 8.4179209894401971e+06 7.9850538091520574e+06 7.6077235424602898e+06 7.2792128775868211e+06 6.9931270582817439e+06 6.7436269655350484e+06 6.5258507756625321e+06 6.3354965596259870e+06 6.1692182661672896e+06 6.0239867799792495e+06 5.8976102853534175e+06 5.7879593689860338e+06 5.6932654951809570e+06 5.6121531071385313e+06 5.5431957208443992e+06 5.4850168241791800e+06 5.4366016316606691e+06 5.3967074934869073e+06 5.3644042930150582e+06 5.3386360354383774e+06 5.3184788067322280e+06 5.3026913308833474e+06 5.2900717022992130e+06 5.2797051545738494e+06 5.2707336317372052e+06 5.2623303787347097e+06 5.2564042449765913e+06 5.2504270030142795e+06 5.2443309130065264e+06 5.2379469009944862e+06 5.2313614422274204e+06 5.2243871282028658e+06 5.2172480494339978e+06 5.2093225446971636e+06 5.2008404967938233e+06 5.1916458103486020e+06 5.1816165936067021e+06 5.1706047284875289e+06 5.1584433563168999e+06 5.1448948635430066e+06 5.1299781607322628e+06 5.1131418298708191e+06 5.0942652656062040e+06 5.0730745616551526e+06 5.0492749528952297e+06 5.0225624607101511e+06 4.9926321841667686e+06 4.9591489573797099e+06 4.9221502389647234e+06 4.8809999049799424e+06 4.8358345473113758e+06 4.7867586548629971e+06 4.7341571678066347e+06 4.6786850328390952e+06 4.6215888646327360e+06 4.5647255776460730e+06 4.5111261879345160e+06 4.4646205837493278e+06 4.4311874164137114e+06 4.4191626673919950e+06 4.4406553523333613e+06 4.5132921994261844e+06 4.6637840787831312e+06 4.9344162459306605e+06 5.3964260137080941e+06 7.0864317781232367e+05 +1.3827475825275744e+01 2.3978976066559158e+07 2.3976515289461762e+07 2.3972315845035575e+07 2.3966598610752579e+07 2.3960402998040807e+07 2.3955497790956166e+07 2.3952734808892552e+07 2.3950728430286240e+07 2.3947954320921537e+07 2.3943937019670930e+07 2.3938651277033150e+07 2.3931918868173659e+07 2.3923465659610972e+07 2.3912995362687822e+07 2.3900185233710688e+07 2.3884649340856489e+07 2.3865923974642918e+07 2.3843465068660960e+07 2.3816636668942310e+07 2.3784693123419795e+07 2.3746765120017868e+07 2.3701824987884179e+07 2.3648482310324930e+07 2.3584350699417681e+07 2.3506712676150851e+07 2.3414214413195677e+07 2.3305511407643702e+07 2.3178413569540586e+07 2.3030232290805034e+07 2.2857950533662852e+07 2.2658258304773062e+07 2.2427578725055862e+07 2.2162116038121559e+07 2.1857934712134600e+07 2.1511079499260761e+07 2.1117739754117977e+07 2.0674471037012167e+07 2.0178472180430539e+07 1.9627919520246122e+07 1.9022338053415511e+07 1.8311807281912904e+07 1.7543522261024721e+07 1.6724952011933755e+07 1.5866885534153892e+07 1.4983209166619498e+07 1.4090248104147043e+07 1.3205673587364711e+07 1.2347080946712729e+07 1.1530460171690932e+07 1.0768761674863303e+07 1.0070934035535946e+07 9.4417349058472887e+06 8.8820367000265718e+06 8.3890343610648699e+06 7.9576129552060161e+06 7.5815520046789702e+06 7.2541522230255920e+06 6.9690373252170719e+06 6.7203859790091245e+06 6.5033516437922753e+06 6.3136463508731481e+06 6.1479350653019054e+06 6.0031988398902882e+06 5.8772532409958458e+06 5.7679761175671993e+06 5.6736049858340407e+06 5.5927689900148492e+06 5.5240465572625985e+06 5.4660659057731926e+06 5.4178157223589038e+06 5.3780576344406661e+06 5.3458646824385049e+06 5.3201844757696241e+06 5.3000962277021268e+06 5.2843628811634602e+06 5.2717866270218454e+06 5.2614557847019257e+06 5.2525152096600402e+06 5.2441409789780807e+06 5.2382353238283182e+06 5.2322787407329297e+06 5.2262037219197340e+06 5.2198417768910136e+06 5.2132790815889211e+06 5.2063288783219010e+06 5.1992144672915600e+06 5.1913163579780813e+06 5.1828636291824505e+06 5.1737007250837507e+06 5.1637061752441861e+06 5.1527323735626386e+06 5.1406130381030133e+06 5.1271113797516041e+06 5.1122462282613991e+06 5.0954680931860507e+06 5.0766567768099383e+06 5.0555393196100621e+06 5.0318219753311388e+06 5.0052018160737175e+06 4.9753749947997006e+06 4.9420075071487371e+06 4.9051366674010083e+06 4.8641285711840903e+06 4.8191193293450680e+06 4.7702130696292277e+06 4.7177934016560195e+06 4.6625130082894107e+06 4.6056141952419635e+06 4.5489474612466479e+06 4.4955333319125446e+06 4.4491884764306033e+06 4.4158708725194763e+06 4.4038876907275394e+06 4.4253060861784015e+06 4.4976918609740874e+06 4.6476635596333742e+06 4.9173602814376252e+06 5.3777730863812761e+06 7.0589176231428643e+05 +1.3832444148050003e+01 2.3906526862723276e+07 2.3904073502665844e+07 2.3899886481851969e+07 2.3894186061479457e+07 2.3888008282289311e+07 2.3883116453733023e+07 2.3880359824272715e+07 2.3878357010902204e+07 2.3875588257889740e+07 2.3871579417680573e+07 2.3866305175626729e+07 2.3859587711473562e+07 2.3851153562292185e+07 2.3840707145634599e+07 2.3827926478812687e+07 2.3812426547177877e+07 2.3793744743196663e+07 2.3771338288706891e+07 2.3744572736268103e+07 2.3712704207167033e+07 2.3674865463093530e+07 2.3630031297331173e+07 2.3576814664440438e+07 2.3512834965747688e+07 2.3435381164220918e+07 2.3343102691542316e+07 2.3234658524871498e+07 2.3107864117972426e+07 2.2960037667133957e+07 2.2788169866125502e+07 2.2588959349045202e+07 2.2358838756910738e+07 2.2094022700979188e+07 2.1790586755090751e+07 2.1444587312892031e+07 2.1052225599427909e+07 2.0610068815358806e+07 2.0115326580994818e+07 1.9566184347719662e+07 1.8962173561519708e+07 1.8253511949879188e+07 1.7487280692855444e+07 1.6670936980749818e+07 1.5815248197155541e+07 1.4934068762650400e+07 1.4043682320772029e+07 1.3161711043492304e+07 1.2305697219237844e+07 1.1491578357188180e+07 1.0732257965674866e+07 1.0036647473528771e+07 9.4094791518109459e+06 8.8516123113358654e+06 8.3602417609413723e+06 7.9302616256747469e+06 7.5554659947043816e+06 7.2291735701922281e+06 6.9450264941189382e+06 6.6972211738392925e+06 6.4809263090961892e+06 6.2918678503517983e+06 6.1267217457601903e+06 5.9824791845827745e+06 5.8569630921582375e+06 5.7480585564727765e+06 5.6540091262238510e+06 5.5734486315674037e+06 5.5049603948465604e+06 5.4471773491959423e+06 5.3990916425013561e+06 5.3594691654680120e+06 5.3273861054591034e+06 5.3017936644987408e+06 5.2817741731408620e+06 5.2660947797232112e+06 5.2535617583385939e+06 5.2432665044391565e+06 5.2343567755831312e+06 5.2260114717659419e+06 5.2201262278238656e+06 5.2141902355748555e+06 5.2081362185798893e+06 5.2017962678687815e+06 5.1952562610785458e+06 5.1883300891619930e+06 5.1812402646843260e+06 5.1733694605790358e+06 5.1649459543520259e+06 5.1558147279502181e+06 5.1458547308619777e+06 5.1349188672753107e+06 5.1228414301128900e+06 5.1093864519568756e+06 5.0945726820756486e+06 5.0778525511670392e+06 5.0591062678307611e+06 5.0380618161993911e+06 5.0144264655284379e+06 4.9878983351653907e+06 4.9581746285153395e+06 4.9249224988860302e+06 4.8881791167758452e+06 4.8473127899735821e+06 4.8024591499171266e+06 4.7537219643793581e+06 4.7014835168101285e+06 4.6463942336929515e+06 4.5896921259656884e+06 4.5332212977554593e+06 4.4799918188176546e+06 4.4338071827385630e+06 4.4006047617327655e+06 4.3886630102846054e+06 4.4100073608538397e+06 4.4821428900678400e+06 4.6315961208442263e+06 4.9003604774451666e+06 5.3591815779608125e+06 7.0315075728970312e+05 +1.3837412470824262e+01 2.3834278233835842e+07 2.3831832144386604e+07 2.3827657597805660e+07 2.3821973930416591e+07 2.3815813934893053e+07 2.3810935452828925e+07 2.3808185164735038e+07 2.3806185914883777e+07 2.3803422513449110e+07 2.3799422122978102e+07 2.3794159364526309e+07 2.3787456821659464e+07 2.3779041700630661e+07 2.3768619123911124e+07 2.3755867868407525e+07 2.3740403834964808e+07 2.3721765515922047e+07 2.3699411419035841e+07 2.3672708600607403e+07 2.3640914951941684e+07 2.3603165304631263e+07 2.3558436911537401e+07 2.3505346091894336e+07 2.3441518025145836e+07 2.3364248104406588e+07 2.3272189014330991e+07 2.3164003204788491e+07 2.3037511661718458e+07 2.2890039371972363e+07 2.2718584744624268e+07 2.2519855022756759e+07 2.2290292346493103e+07 2.2026121671055686e+07 2.1723429649501670e+07 2.1378284287800364e+07 2.0986898649676349e+07 2.0545851542491026e+07 2.0052363339485440e+07 1.9504628573011111e+07 1.8902185105751574e+07 1.8195388563388351e+07 1.7431206461986847e+07 1.6617084155294351e+07 1.5763767428558581e+07 1.4885078830008449e+07 1.3997260529585920e+07 1.3117885739218120e+07 1.2264443839498917e+07 1.1452820008683421e+07 1.0695871000788249e+07 1.0002471229688175e+07 9.3773276955772415e+06 8.8212866835816931e+06 8.3315429055025792e+06 7.9029995495802127e+06 7.5294652528939368e+06 7.2042766696047513e+06 6.9210943245058283e+06 6.6741323175121825e+06 6.4585745460834606e+06 6.2701608387564048e+06 6.1055780936455196e+06 5.9618276048941752e+06 5.8367396337902630e+06 5.7282064842341598e+06 5.6344777179818191e+06 5.5541918360778168e+06 5.4859370401230995e+06 5.4283509628708865e+06 5.3804292021059208e+06 5.3409418978960570e+06 5.3089683744736863e+06 5.2834634148739865e+06 5.2635124569763644e+06 5.2478868410149692e+06 5.2353969111369364e+06 5.2251371290364396e+06 5.2162581450548535e+06 5.2079416729456531e+06 5.2020767730134232e+06 5.1961613038052274e+06 5.1901282194581246e+06 5.1838101906255847e+06 5.1772927976191891e+06 5.1703905778914737e+06 5.1633252590315649e+06 5.1554816702088621e+06 5.1470872903036382e+06 5.1379876372613581e+06 5.1280620791247180e+06 5.1171640286892373e+06 5.1051283518302198e+06 5.0917199001103016e+06 5.0769573426612858e+06 5.0602950248788521e+06 5.0416135604011556e+06 5.0206418738959851e+06 4.9970882467867862e+06 4.9706518422278399e+06 4.9410309105928037e+06 4.9078937590463730e+06 4.8712774148409385e+06 4.8305523905453375e+06 4.7858538398005012e+06 4.7372851716017192e+06 4.6852273475980293e+06 4.6303285453185411e+06 4.5738224950711643e+06 4.5175469274260364e+06 4.4645014907887923e+06 4.4184765464292401e+06 4.3853889289796511e+06 4.3734884714144291e+06 4.3947590209613871e+06 4.4666451287648315e+06 4.6155815992051456e+06 4.8834166612775708e+06 5.3406512995949034e+06 7.0042012462802220e+05 +1.3842380793598521e+01 2.3762229664860196e+07 2.3759790793343712e+07 2.3755628685218614e+07 2.3749961739378884e+07 2.3743819476483408e+07 2.3738954308986071e+07 2.3736210350903947e+07 2.3734214662831515e+07 2.3731456608103801e+07 2.3727464656107206e+07 2.3722213364293765e+07 2.3715525719272953e+07 2.3707129595162265e+07 2.3696730818057328e+07 2.3684008923075765e+07 2.3668580724810567e+07 2.3649985813480649e+07 2.3627683980356630e+07 2.3601043782666117e+07 2.3569324878566019e+07 2.3531664165635943e+07 2.3487041351600070e+07 2.3434076113936000e+07 2.3370399399024140e+07 2.3293313018411554e+07 2.3201472903593566e+07 2.3093544969742287e+07 2.2967355723638244e+07 2.2820236928693615e+07 2.2649194693121128e+07 2.2450944850658990e+07 2.2221939019450631e+07 2.1958412475125194e+07 2.1656462923510116e+07 2.1312169953768790e+07 2.0921758436693471e+07 2.0481818752654687e+07 1.9989581993090022e+07 1.9443251736846264e+07 1.8842372231133241e+07 1.8137436673045278e+07 1.7375299125691243e+07 1.6563393100819426e+07 1.5712442802987278e+07 1.4836238954168765e+07 1.3950982328333288e+07 1.3074197285907879e+07 1.2223320433577511e+07 1.1414184767739376e+07 1.0659600437711520e+07 9.9684049773732014e+06 9.3452802259441875e+06 8.7910595202740449e+06 8.3029375119391289e+06 7.8758264566380773e+06 7.5035495202894704e+06 7.1794612724319790e+06 6.8972405765542137e+06 6.6511191781577999e+06 6.4362961298883408e+06 6.2485250973761380e+06 6.0845038956451537e+06 5.9412438922255300e+06 5.8165826614222806e+06 5.7084196999489954e+06 5.6150105632821536e+06 5.5349984083567811e+06 5.4669763001555223e+06 5.4095865557643985e+06 5.3618282117244452e+06 5.3224756435751356e+06 5.2906113024028232e+06 5.2651935406518644e+06 5.2453108936434230e+06 5.2297388800056418e+06 5.2172919008049518e+06 5.2070674742377354e+06 5.1982191341431122e+06 5.1899313988739206e+06 5.1840867759551434e+06 5.1781917621896006e+06 5.1721795415373053e+06 5.1658833623691043e+06 5.1593885086487029e+06 5.1525101621915409e+06 5.1454692682632897e+06 5.1376528050636342e+06 5.1292874555274472e+06 5.1202192718365956e+06 5.1103280392047651e+06 5.0994676773527134e+06 5.0874736232308261e+06 5.0741115446684575e+06 5.0594000309848832e+06 5.0427953358835531e+06 5.0241784767363248e+06 5.0032793156555574e+06 4.9798071428984981e+06 4.9534621619792767e+06 4.9239436668004803e+06 4.8909211145693613e+06 4.8544313898197673e+06 4.8138472025534073e+06 4.7693032302345978e+06 4.7209025242488999e+06 4.6690247288031476e+06 4.6143157798797665e+06 4.5580051412713658e+06 4.5019241909583583e+06 4.4490621903856490e+06 4.4031964117015842e+06 4.3702232196196374e+06 4.3583639198946450e+06 4.3795609115297711e+06 4.4511984195580967e+06 4.5996198319569733e+06 4.8665286607312579e+06 5.3221820629616156e+06 6.9769982635217730e+05 +1.3847349116372779e+01 2.3690380608228575e+07 2.3687949023513228e+07 2.3683799244349297e+07 2.3678149009309638e+07 2.3672024428519759e+07 2.3667172543725017e+07 2.3664434904210288e+07 2.3662442776151594e+07 2.3659690063317694e+07 2.3655706538470097e+07 2.3650466696276613e+07 2.3643793925677877e+07 2.3635416767289750e+07 2.3625041749461897e+07 2.3612349164229620e+07 2.3596956738173224e+07 2.3578405157339852e+07 2.3556155494170453e+07 2.3529577804075614e+07 2.3497933508745968e+07 2.3460361567857970e+07 2.3415844139437228e+07 2.3363004252681803e+07 2.3299478609727416e+07 2.3222575428765509e+07 2.3130953882175203e+07 2.3023283342965040e+07 2.2897395827389814e+07 2.2750629861429244e+07 2.2579999236458641e+07 2.2382228358315308e+07 2.2153778302313972e+07 2.1890894640857987e+07 2.1589686106175587e+07 2.1246243841500860e+07 2.0856804493158087e+07 2.0417969980971955e+07 1.9926982079863150e+07 1.9382053380871765e+07 1.8782734483623903e+07 1.8079655830342080e+07 1.7319558242204424e+07 1.6509863383534232e+07 1.5661273896020889e+07 1.4787548721567692e+07 1.3904847315716624e+07 1.3030645295851311e+07 1.2182326628452584e+07 1.1375672276811760e+07 1.0623445934765602e+07 9.9344483907746579e+06 9.3133364325519949e+06 8.7609305256991498e+06 8.2744252982114274e+06 7.8487420773087703e+06 7.4777185386484889e+06 7.1547271305427235e+06 6.8734650110868383e+06 6.6281815245422116e+06 6.4140908362528440e+06 6.2269604080950748e+06 6.0634989390266817e+06 5.9207278385698199e+06 5.7964919711341560e+06 5.6886980032561356e+06 5.5956074648490380e+06 5.5158681537674908e+06 5.4480779825403448e+06 5.3908839373627231e+06 5.3432884824074591e+06 5.3040702148760715e+06 5.2723147026599785e+06 5.2469838561164001e+06 5.2271692980829570e+06 5.2116507121668169e+06 5.1992465432552146e+06 5.1890573563053031e+06 5.1802395594116589e+06 5.1719804664074443e+06 5.1661560537178712e+06 5.1602814280047677e+06 5.1542900023037065e+06 5.1480156008022120e+06 5.1415432121067159e+06 5.1346886602412313e+06 5.1276721108056596e+06 5.1198826838511825e+06 5.1115462690338837e+06 5.1025094510036837e+06 5.0926524307720568e+06 5.0818296333226403e+06 5.0698770647931360e+06 5.0565612065732405e+06 5.0419005685143182e+06 5.0253533062293939e+06 5.0068008395447163e+06 4.9859739649253320e+06 4.9625829781327182e+06 4.9363291196230110e+06 4.9069127233891711e+06 4.8740043928635791e+06 4.8376408704095837e+06 4.7971970561298756e+06 4.7528071529174978e+06 4.7045738557315590e+06 4.6528754956690064e+06 4.5983557745586121e+06 4.5422399037264083e+06 4.4863529294919353e+06 4.4336737606197381e+06 4.3879666231717002e+06 4.3551074794415561e+06 4.3432892019312875e+06 4.3644128780140243e+06 4.4358026053765016e+06 4.5837106567922113e+06 4.8496963040768402e+06 5.3037736802504444e+06 6.9498982461814885e+05 +1.3852317439147038e+01 2.3618730659345556e+07 2.3616306330964047e+07 2.3612168813229114e+07 2.3606535260188922e+07 2.3600428313331917e+07 2.3595589679324422e+07 2.3592858346967693e+07 2.3590869777101800e+07 2.3588122401274670e+07 2.3584147292249460e+07 2.3578918882715892e+07 2.3572260963057496e+07 2.3563902739198048e+07 2.3553551440371901e+07 2.3540888114104588e+07 2.3525531397307023e+07 2.3507023069824431e+07 2.3484825482886199e+07 2.3458310187300391e+07 2.3426740364992138e+07 2.3389257033953343e+07 2.3344844797834005e+07 2.3292130031044882e+07 2.3228755180371892e+07 2.3152034858885024e+07 2.3060631473771993e+07 2.2953217848528907e+07 2.2827631497450825e+07 2.2681217695271347e+07 2.2510997900330663e+07 2.2313705072212946e+07 2.2085809722507793e+07 2.1823567696790557e+07 2.1523098727360543e+07 2.1180505482565921e+07 2.0792036352672648e+07 2.0354304763466898e+07 1.9864563138833508e+07 1.9321033047630087e+07 1.8723271410062939e+07 1.8022045587734707e+07 1.7263983370637335e+07 1.6456494570573021e+07 1.5610260284198167e+07 1.4739007719535824e+07 1.3858855091360461e+07 1.2987229382263381e+07 1.2141462052037068e+07 1.1337282179284202e+07 1.0587407151159411e+07 9.9006011449253336e+06 9.2814960058386344e+06 8.7308994049375840e+06 8.2460059830066133e+06 7.8217461427663481e+06 7.4519720504186349e+06 7.1300739964500712e+06 6.8497673895887965e+06 6.6053191260448406e+06 6.3919584415367497e+06 6.2054665533983978e+06 6.0425630116435895e+06 5.9002792364675682e+06 5.7764673595698066e+06 5.6690411943576662e+06 5.5762682259448618e+06 5.4968008781947317e+06 5.4292418954063570e+06 5.3722429176788162e+06 5.3248098257504459e+06 5.2857254246787354e+06 5.2540783891976094e+06 5.2288341760581769e+06 5.2090874857630171e+06 5.1936221534929872e+06 5.1812606548977979e+06 5.1711065920091197e+06 5.1623192379427021e+06 5.1540886929169828e+06 5.1482844238767326e+06 5.1424301190326670e+06 5.1364594197528278e+06 5.1302067241442353e+06 5.1237567264324557e+06 5.1169258907252746e+06 5.1099336055869386e+06 5.1021711257779282e+06 5.0938635503170909e+06 5.0848579945772747e+06 5.0750350739912475e+06 5.0642497171471119e+06 5.0523384974851022e+06 5.0390687072743839e+06 5.0244587772109034e+06 5.0079687584664468e+06 4.9894804720288664e+06 4.9687256456397939e+06 4.9454155772559587e+06 4.9192525408532023e+06 4.8899379070816850e+06 4.8571434218149548e+06 4.8209056857868480e+06 4.7806017818802185e+06 4.7363654400210707e+06 4.6882989999203160e+06 4.6367794838944962e+06 4.5824483669786835e+06 4.5265266220439980e+06 4.4708329846042534e+06 4.4183360449247351e+06 4.3727870258951765e+06 4.3400415546554746e+06 4.3282641641489398e+06 4.3493147662989143e+06 4.4204575295857163e+06 4.5678539118453730e+06 4.8329194200649355e+06 5.2854259641748117e+06 6.9229008171452885e+05 +1.3857285761921297e+01 2.3547279386200860e+07 2.3544862221920121e+07 2.3540736947002973e+07 2.3535120011443593e+07 2.3529030653970450e+07 2.3524205238901880e+07 2.3521480202271931e+07 2.3519495188738830e+07 2.3516753145057548e+07 2.3512786440532386e+07 2.3507569446649279e+07 2.3500926354493525e+07 2.3492587033945169e+07 2.3482259413795348e+07 2.3469625295768064e+07 2.3454304225322690e+07 2.3435839074075844e+07 2.3413693469675429e+07 2.3387240455596223e+07 2.3355744970709529e+07 2.3318350087405372e+07 2.3274042850383118e+07 2.3221452972818475e+07 2.3158228634931318e+07 2.3081690833003663e+07 2.2990505202951081e+07 2.2883348011328075e+07 2.2758062259202860e+07 2.2611999956094839e+07 2.2442190211263530e+07 2.2245374519671202e+07 2.2018032808282580e+07 2.1756431172306474e+07 2.1456700317868464e+07 2.1114954409400836e+07 2.0727453549682688e+07 2.0290822637049004e+07 1.9802324709829755e+07 1.9260190280610614e+07 1.8663982558245495e+07 1.7964605498571724e+07 1.7208574071094070e+07 1.6403286230005980e+07 1.5559401544953158e+07 1.4690615536379823e+07 1.3813005255821893e+07 1.2943949159272144e+07 1.2100726333121851e+07 1.1299014119389199e+07 1.0551483746980174e+07 9.8668629157107864e+06 9.2497586370434538e+06 8.7009658638353311e+06 8.2176792857847298e+06 7.7948383849112112e+06 7.4263097987443674e+06 7.1055016233584927e+06 6.8261474741832381e+06 6.5825317526898477e+06 6.3698987227139072e+06 6.1840433163664462e+06 6.0216959019329287e+06 5.8798978790526129e+06 5.7565086239365181e+06 5.6494490739970487e+06 5.5569926503750943e+06 5.4777963880705787e+06 5.4104678474022867e+06 5.3536633072542129e+06 5.3063920538587039e+06 5.2674410863932213e+06 5.2359021764685716e+06 5.2107443157827249e+06 5.1910652726508118e+06 5.1756530204790710e+06 5.1633340526590897e+06 5.1532149986257628e+06 5.1444579873180036e+06 5.1362558962744111e+06 5.1304717045053197e+06 5.1246376535552768e+06 5.1186876123718498e+06 5.1124565511124795e+06 5.1060288705714233e+06 5.0992216728301486e+06 5.0922535720519414e+06 5.0845179505552128e+06 5.0762391193843298e+06 5.0672647228796128e+06 5.0574757895390159e+06 5.0467277498759571e+06 5.0348577427811678e+06 5.0216338687059972e+06 5.0070744795248928e+06 4.9906415156242792e+06 4.9722171978759440e+06 4.9515341822247021e+06 4.9283047655098103e+06 4.9022322518352941e+06 4.8730190450827349e+06 4.8403380297976909e+06 4.8042256655948805e+06 4.7640612108737845e+06 4.7199779241802171e+06 4.6720777911465568e+06 4.6207365296309348e+06 4.5665933952061851e+06 4.5108651362673240e+06 4.4553641983108828e+06 4.4030488871750338e+06 4.3576574653515071e+06 4.3250252918985421e+06 4.3132886536091547e+06 4.3342664226949392e+06 4.4051630359777939e+06 4.5520494357130462e+06 4.8161978379147043e+06 5.2671387279687440e+06 6.8960056006208283e+05 +1.3862254084695556e+01 2.3476026067160077e+07 2.3473616176139552e+07 2.3469503185855966e+07 2.3463902783120453e+07 2.3457830974219855e+07 2.3453018746296756e+07 2.3450299994076610e+07 2.3448318534995180e+07 2.3445581818549100e+07 2.3441623507179514e+07 2.3436417911930874e+07 2.3429789623818520e+07 2.3421469175389282e+07 2.3411165193653885e+07 2.3398560233131163e+07 2.3383274746154834e+07 2.3364852694067352e+07 2.3342758978592534e+07 2.3316368133061346e+07 2.3284946850052051e+07 2.3247640252525218e+07 2.3203437821551926e+07 2.3150972602597758e+07 2.3087898498252761e+07 2.3011542876186237e+07 2.2920574595086653e+07 2.2813673357168246e+07 2.2688687638869088e+07 2.2542976170643017e+07 2.2373575696683526e+07 2.2177236228864297e+07 2.1950447088759720e+07 2.1689484597695593e+07 2.1390490409356032e+07 2.1049590155328933e+07 2.0663055619565576e+07 2.0227523139550503e+07 1.9740266333676547e+07 1.9199524624180578e+07 1.8604867476863097e+07 1.7907335117127202e+07 1.7153329904567000e+07 1.6350237930856118e+07 1.5508697256701225e+07 1.4642371761317948e+07 1.3767297410588892e+07 1.2900804241945367e+07 1.2060119101426229e+07 1.1260867742273808e+07 1.0515675383154519e+07 9.8332333798307385e+06 9.2181240182147194e+06 8.6711296090183947e+06 8.1894449267382426e+06 7.7680185363724846e+06 7.4007315274645481e+06 7.0810097651429288e+06 6.8026050276446706e+06 6.5598191751225814e+06 6.3479114573598420e+06 6.1626904806695860e+06 6.0008973989095995e+06 5.8595835600087242e+06 5.7366155619920064e+06 5.6299214434649246e+06 5.5377805424895231e+06 5.4588544903544178e+06 5.3917556477198368e+06 5.3351449171471447e+06 5.2880349793564314e+06 5.2492170139327832e+06 5.2177858794514537e+06 5.1927140910998760e+06 5.1731024752238980e+06 5.1577431301291436e+06 5.1454665539661646e+06 5.1353823939325614e+06 5.1266556256245803e+06 5.1184818948585084e+06 5.1127177141880104e+06 5.1069038503618455e+06 5.1009743991682921e+06 5.0947649009218337e+06 5.0883594639698230e+06 5.0815758262430979e+06 5.0746318301203810e+06 5.0669229783813311e+06 5.0586727967315670e+06 5.0497294567247927e+06 5.0399743985664975e+06 5.0292635530476859e+06 5.0174346226407643e+06 5.0042565132989036e+06 4.9897474984028051e+06 4.9733714012348941e+06 4.9550108412663173e+06 4.9343993995862389e+06 4.9112503686325885e+06 4.8852680792249525e+06 4.8561559650813378e+06 4.8235880456459103e+06 4.7876006399557721e+06 4.7475751746470854e+06 4.7036444384873314e+06 4.6559100642040474e+06 4.6047464694821183e+06 4.5507906977643808e+06 4.4952552868888248e+06 4.4399464130679388e+06 4.3878121316732625e+06 4.3425777874499131e+06 4.3100585382330846e+06 4.2983625177851710e+06 4.3192676939389491e+06 4.3899189687863141e+06 4.5362970674243951e+06 4.7995313873219630e+06 5.2489117853803737e+06 6.8692122221331461e+05 +1.3867222407469814e+01 2.3404970482763246e+07 2.3402567737784136e+07 2.3398467046171043e+07 2.3392883097391799e+07 2.3386828798690420e+07 2.3382029726227541e+07 2.3379317247108232e+07 2.3377339340616036e+07 2.3374607946488485e+07 2.3370658016906489e+07 2.3365463803294484e+07 2.3358850295769826e+07 2.3350548688262325e+07 2.3340268304660782e+07 2.3327692450938925e+07 2.3312442484600056e+07 2.3294063454649784e+07 2.3272021534526084e+07 2.3245692744674005e+07 2.3214345528085511e+07 2.3177127054453250e+07 2.3133029236622516e+07 2.3080688445855252e+07 2.3017764296015449e+07 2.2941590514363281e+07 2.2850839176407158e+07 2.2744193412623547e+07 2.2619507163484488e+07 2.2474145866566386e+07 2.2305153884809598e+07 2.2109289728844397e+07 2.1883052093937024e+07 2.1622727504089274e+07 2.1324468534323435e+07 2.0984412254574459e+07 2.0598842098536577e+07 2.0164405809654538e+07 1.9678387552037653e+07 1.9139035623632781e+07 1.8545925715518955e+07 1.7850233998634499e+07 1.7098250433008440e+07 1.6297349243042465e+07 1.5458146998763481e+07 1.4594275984525548e+07 1.3721731158078002e+07 1.2857794246250674e+07 1.2019639987569397e+07 1.1222842693943497e+07 1.0479981721483944e+07 9.7997122148271017e+06 9.1865918422221188e+06 8.6413903478979915e+06 8.1613026268188376e+06 7.7412863304754579e+06 7.3752369811134683e+06 7.0565981763295531e+06 6.7791398133918243e+06 6.5371811646188591e+06 6.3259964236608502e+06 6.1414078305829484e+06 5.9801672921715965e+06 5.8393360735993152e+06 5.7167879720613146e+06 5.6104581046186071e+06 5.5186317071745181e+06 5.4399749925369229e+06 5.3731051060665315e+06 5.3166875589437755e+06 5.2697384153895350e+06 5.2310530217408314e+06 5.1997293136229785e+06 5.1747433183403453e+06 5.1551989104727535e+06 5.1398922999546183e+06 5.1276579767553024e+06 5.1176085962139564e+06 5.1089119714561375e+06 5.1007665075447066e+06 5.0950222720076162e+06 5.0892285287401499e+06 5.0833195996382656e+06 5.0771315932936734e+06 5.0707483265727861e+06 5.0639881711486578e+06 5.0570682002321044e+06 5.0493860299674207e+06 5.0411644033497861e+06 5.0322520174278859e+06 5.0225307227369919e+06 5.0118569487030292e+06 5.0000689595188182e+06 4.9869364639726477e+06 4.9724776572818002e+06 4.9561582393092476e+06 4.9378612268601255e+06 4.9173211231163116e+06 4.8942522128280159e+06 4.8683598501502005e+06 4.8393484952365626e+06 4.8068932986768819e+06 4.7710304394535013e+06 4.7311435052022394e+06 4.6873648165068924e+06 4.6397956543376362e+06 4.5888091405105535e+06 4.5350401136207730e+06 4.4796969148453251e+06 4.4245794717620416e+06 4.3726256231506756e+06 4.3275478385256371e+06 4.2951411411485169e+06 4.2834856045788955e+06 4.3043184271883890e+06 4.3747251726677371e+06 4.5205966464614086e+06 4.7829198984512016e+06 5.2307449506702973e+06 6.8425203085203294e+05 +1.3872190730244073e+01 2.3334112074172996e+07 2.3331716373184443e+07 2.3327628029859833e+07 2.3322060479769263e+07 2.3316023652788963e+07 2.3311237704148274e+07 2.3308531487012088e+07 2.3306557131163996e+07 2.3303831054433737e+07 2.3299889495273367e+07 2.3294706646267194e+07 2.3288107895878013e+07 2.3279825098116484e+07 2.3269568272410318e+07 2.3257021474795640e+07 2.3241806966246445e+07 2.3223470881473243e+07 2.3201480663189754e+07 2.3175213816214439e+07 2.3143940530697420e+07 2.3106810019205749e+07 2.3062816621732458e+07 2.3010600028906010e+07 2.2947825554668516e+07 2.2871833274340030e+07 2.2781298474016462e+07 2.2674907705160066e+07 2.2550520360982578e+07 2.2405508572258588e+07 2.2236924304774538e+07 2.2041534549517304e+07 2.1815847354672320e+07 2.1556159423486456e+07 2.1258634226200026e+07 2.0919420242204841e+07 2.0534812523732170e+07 2.0101470186997097e+07 1.9616687907534711e+07 1.9078722825132985e+07 1.8487156824746031e+07 1.7793301699202802e+07 1.7043335219281808e+07 1.6244619737446602e+07 1.5407750351408461e+07 1.4546327797093909e+07 1.3676306101634426e+07 1.2814918789072547e+07 1.1979288623059813e+07 1.1184938621303804e+07 1.0444402424620891e+07 9.7662990990836471e+06 9.1551618027203977e+06 8.6117477886507604e+06 8.1332521077074222e+06 7.7146415012930157e+06 7.3498259049109835e+06 7.0322666121318648e+06 6.7557515955004729e+06 6.5146174930733591e+06 6.3041534004240250e+06 6.1201951509638745e+06 5.9595053718873505e+06 5.8191552146450151e+06 5.6970256530174101e+06 5.5910588598348778e+06 5.4995459498519143e+06 5.4211577026524721e+06 5.3545160326838586e+06 5.2982910447478732e+06 5.2515021756202318e+06 5.2129489247578904e+06 5.1817322949792556e+06 5.1568318143325672e+06 5.1373543958889451e+06 5.1221003479732033e+06 5.1099081394624822e+06 5.0998934242676720e+06 5.0912268439049218e+06 5.0831095537175070e+06 5.0773851975487992e+06 5.0716115084805842e+06 5.0657230337783070e+06 5.0595564484462049e+06 5.0531952788270907e+06 5.0464585282314001e+06 5.0395625033108760e+06 5.0319069265104216e+06 5.0237137607391393e+06 5.0148322267925609e+06 5.0051445841985419e+06 4.9945077593701892e+06 4.9827605763644204e+06 4.9696735441420879e+06 4.9552647800824856e+06 4.9390018543503797e+06 4.9207681798111880e+06 4.9002991786943153e+06 4.8773101247972762e+06 4.8515073922274280e+06 4.8225964641917991e+06 4.7902536186741479e+06 4.7545148951451695e+06 4.7147660350124855e+06 4.6711388922504140e+06 4.6237343972515874e+06 4.5729243802237753e+06 4.5193414821895715e+06 4.4641898615049617e+06 4.4092632177223554e+06 4.3574892067751829e+06 4.3125674653377635e+06 4.2802729485519836e+06 4.2686577623114204e+06 4.2894184700265601e+06 4.3595814927139487e+06 4.5049480127497502e+06 4.7663632019418329e+06 5.2126380386174107e+06 6.8159294879292022e+05 +1.3877159053018332e+01 2.3263450179041207e+07 2.3261061752283439e+07 2.3256985646885660e+07 2.3251434459292922e+07 2.3245415062700700e+07 2.3240642206345178e+07 2.3237942240170650e+07 2.3235971433064975e+07 2.3233250668788251e+07 2.3229317468670551e+07 2.3224145967234440e+07 2.3217561950533692e+07 2.3209297931299657e+07 2.3199064623247966e+07 2.3186546831098814e+07 2.3171367717555299e+07 2.3153074501004081e+07 2.3131135891112994e+07 2.3104930874291640e+07 2.3073731384614076e+07 2.3036688673579745e+07 2.2992799503826831e+07 2.2940706878859907e+07 2.2878081801632542e+07 2.2802270683688290e+07 2.2711952015827920e+07 2.2605815763089508e+07 2.2481726760098554e+07 2.2337063817058407e+07 2.2168886486535579e+07 2.1973970221636347e+07 2.1748832402675472e+07 2.1489779888762970e+07 2.1192987019232441e+07 2.0854613654183108e+07 2.0470966433176398e+07 2.0038715812021725e+07 1.9555166943610277e+07 1.9018585775811642e+07 1.8428560355960939e+07 1.7736537775885049e+07 1.6988583827181630e+07 1.6192048985895554e+07 1.5357506895843811e+07 1.4498526791057879e+07 1.3631021845521355e+07 1.2772177488241367e+07 1.1939064640318496e+07 1.1147155172144966e+07 1.0408937156082267e+07 9.7329937117940392e+06 9.1238335941803623e+06 8.5822016402355935e+06 8.1052930918518743e+06 7.6880837835874725e+06 7.3244980447603352e+06 7.0080148284178227e+06 6.7324401386661222e+06 6.4921279330147887e+06 6.2823821670421818e+06 6.0990522272653813e+06 5.9389114288185863e+06 5.7990407785405656e+06 5.6773284042834993e+06 5.5717235120548848e+06 5.4805230764941154e+06 5.4024024292532196e+06 5.3359882383308662e+06 5.2799551871854216e+06 5.2333260742261428e+06 5.1949045384512478e+06 5.1637946400246453e+06 5.1389793964216691e+06 5.1195687494766209e+06 5.1043670927050300e+06 5.0922168610328464e+06 5.0822366973771239e+06 5.0736000625687884e+06 5.0655108532639816e+06 5.0598063109009815e+06 5.0540526098746741e+06 5.0481845220921123e+06 5.0420392870939700e+06 5.0357001416722760e+06 5.0289867186759384e+06 5.0221145607857918e+06 5.0144854897089740e+06 5.0063206908776965e+06 4.9974699071219889e+06 4.9878158056011843e+06 4.9772158080710284e+06 4.9655092966109086e+06 4.9524675777071882e+06 4.9381086912164809e+06 4.9219020713456953e+06 4.9037315257512173e+06 4.8833333926800527e+06 4.8604239317122782e+06 4.8347105335399183e+06 4.8058997010556739e+06 4.7736688359048367e+06 4.7380538385568382e+06 4.6984425970102912e+06 4.6549665002110954e+06 4.6077261291080294e+06 4.5570920265776301e+06 4.5036946433285521e+06 4.4487339686862165e+06 4.3939974947044263e+06 4.3424027281402247e+06 4.2976365150748640e+06 4.2654538087690491e+06 4.2538788397204252e+06 4.2745676704653567e+06 4.3444877744457973e+06 4.4893510066575631e+06 4.7498611288951971e+06 5.1945908645160589e+06 6.7894393898109859e+05 +1.3882127375792590e+01 2.3192984750373445e+07 2.3190603377307065e+07 2.3186539420450218e+07 2.3181004567270771e+07 2.3175002555554174e+07 2.3170242759974074e+07 2.3167549033847567e+07 2.3165581773546040e+07 2.3162866316761069e+07 2.3158941464302827e+07 2.3153781293445602e+07 2.3147211986931007e+07 2.3138966715066493e+07 2.3128756884426992e+07 2.3116268047094028e+07 2.3101124265828509e+07 2.3082873840606395e+07 2.3060986745695625e+07 2.3034843446397305e+07 2.3003717617360789e+07 2.2966762545292322e+07 2.2922977410753790e+07 2.2871008523695420e+07 2.2808532565049026e+07 2.2732902270851113e+07 2.2642799330604177e+07 2.2536917115551580e+07 2.2413125890471332e+07 2.2268811131125361e+07 2.2101039960926890e+07 2.1906596276812300e+07 2.1682006770530902e+07 2.1423588433686998e+07 2.1127526448592283e+07 2.0789992027388938e+07 2.0407303365764722e+07 1.9976142226145227e+07 1.9493824204682764e+07 1.8958624023640662e+07 1.8370135861544896e+07 1.7679941786668681e+07 1.6933995821418379e+07 1.6139636561109658e+07 1.5307416214191580e+07 1.4450872559365595e+07 1.3585877994947150e+07 1.2729569962465983e+07 1.1898967672673004e+07 1.1109491995109828e+07 1.0373585580245785e+07 9.6997957330125812e+06 9.0926069118700530e+06 8.5527516123711932e+06 8.0774253024198972e+06 7.6616129128477313e+06 7.2992531472702688e+06 6.9838425817139298e+06 6.7092052082491973e+06 6.4697122575845150e+06 6.2606825035278834e+06 6.0779788455242999e+06 5.9183852542869300e+06 5.7789925612336257e+06 5.6576960258493870e+06 5.5524518647558019e+06 5.4615628935985314e+06 5.3837089814332854e+06 5.3175215342947766e+06 5.2616797994021522e+06 5.2152099259030651e+06 5.1769196787886368e+06 5.1459161657743640e+06 5.1211858824537629e+06 5.1018417897400940e+06 5.0866923531752741e+06 5.0745839609076409e+06 5.0646382353393035e+06 5.0560314475410962e+06 5.0479702265602238e+06 5.0422854326439193e+06 5.0365516537064658e+06 5.0307038855686244e+06 5.0245799304510159e+06 5.0182627365472987e+06 5.0115725641524494e+06 5.0047241945715342e+06 4.9971215417525098e+06 4.9889850162582751e+06 4.9801648812152101e+06 4.9705442100781808e+06 4.9599809183201706e+06 4.9483149441937776e+06 4.9353183890634775e+06 4.9210092155870097e+06 4.9048587157708835e+06 4.8867510907987030e+06 4.8664235919154556e+06 4.8435934612249322e+06 4.8179691026548352e+06 4.7892580354144825e+06 4.7571387810945697e+06 4.7216471016817708e+06 4.6821730245931605e+06 4.6388474753120653e+06 4.5917706865192819e+06 4.5413119179900307e+06 4.4880994373434726e+06 4.4333290786347697e+06 4.3787821469036592e+06 4.3273660332655460e+06 4.2827548353439514e+06 4.2506835705540143e+06 4.2391486859731032e+06 4.2597658769291947e+06 4.3294438638092540e+06 4.4738054689945942e+06 4.7334135108900964e+06 5.1766032441676790e+06 6.7630496449170297e+05 +1.3887095698566849e+01 2.3122714954439808e+07 2.3120340736679371e+07 2.3116288878839824e+07 2.3110770335434217e+07 2.3104785659368958e+07 2.3100038892983865e+07 2.3097351396115907e+07 2.3095387680688575e+07 2.3092677526454683e+07 2.3088761010243192e+07 2.3083612152882151e+07 2.3077057533124022e+07 2.3068830977446903e+07 2.3058644584003732e+07 2.3046184650880150e+07 2.3031076139153168e+07 2.3012868428427953e+07 2.2991032755174775e+07 2.2964951060807247e+07 2.2933898757356048e+07 2.2897031162817575e+07 2.2853349871115454e+07 2.2801504492258098e+07 2.2739177373971399e+07 2.2663727565163340e+07 2.2573839947972450e+07 2.2468211292564638e+07 2.2344717282524344e+07 2.2200750045441881e+07 2.2033384259621933e+07 2.1839412247536525e+07 2.1615369991703331e+07 2.1357584592845086e+07 2.1062252050304230e+07 2.0725554899508469e+07 2.0343822861285012e+07 1.9913748971635874e+07 1.9432659236013025e+07 1.8898837117553838e+07 1.8311882894761272e+07 1.7623513290439852e+07 1.6879570767660152e+07 1.6087382036758471e+07 1.5257477889520956e+07 1.4403364695911588e+07 1.3540874156029379e+07 1.2687095831382960e+07 1.1858997354330618e+07 1.1071948739763478e+07 1.0338347362333745e+07 9.6667048435867615e+06 9.0614814518537819e+06 8.5233974155566804e+06 8.0496484633386312e+06 7.6352286252770200e+06 7.2740909597238973e+06 6.9597496292190868e+06 6.6860465702343108e+06 6.4473702405485176e+06 6.2390541904888228e+06 6.0569747923746584e+06 5.8979266401934819e+06 5.7590103592456523e+06 5.6381283182485849e+06 5.5332437219655467e+06 5.4426652081928607e+06 5.3650771687916741e+06 5.2991157323893616e+06 5.2434646950603500e+06 5.1971535458516199e+06 5.1589941622545077e+06 5.1280966897460110e+06 5.1034510907819150e+06 5.0841733356850091e+06 5.0690759489117600e+06 5.0570092590353414e+06 5.0470978584472258e+06 5.0385208194226502e+06 5.0304874944887720e+06 5.0248223838579590e+06 5.0191084612682043e+06 5.0132809457045160e+06 5.0071782002311014e+06 5.0008828853904046e+06 4.9942158868381251e+06 4.9873912270886004e+06 4.9798149053269988e+06 4.9717065598421237e+06 4.9629169723512027e+06 4.9533296212560693e+06 4.9428029141174676e+06 4.9311773435235126e+06 4.9182258030810496e+06 4.9039661785740275e+06 4.8878716135813119e+06 4.8698267015523724e+06 4.8495696037213076e+06 4.8268185414672494e+06 4.8012829286171533e+06 4.7726712973350557e+06 4.7406632854451491e+06 4.7052945169823235e+06 4.6659571516229110e+06 4.6227816529613649e+06 4.5758679065520111e+06 4.5255838933123713e+06 4.4725557049773848e+06 4.4179750340449875e+06 4.3636170189458439e+06 4.3123789686071333e+06 4.2679222741809366e+06 4.2359620830791630e+06 4.2244671506480491e+06 4.2450129382640179e+06 4.3144496071821665e+06 4.4583112410210604e+06 4.7170201799672591e+06 5.1586749938911358e+06 6.7367598852945073e+05 +1.3892064021341108e+01 2.3052640430023372e+07 2.3050273373848766e+07 2.3046233557041354e+07 2.3040731294376053e+07 2.3034763903163750e+07 2.3030030134188056e+07 2.3027348855914541e+07 2.3025388683430661e+07 2.3022683826713242e+07 2.3018775635347821e+07 2.3013638074464217e+07 2.3007098117990773e+07 2.2998890247333590e+07 2.2988727250876572e+07 2.2976296171379279e+07 2.2961222866510306e+07 2.2943057793473355e+07 2.2921273448596559e+07 2.2895253246663515e+07 2.2864274333781905e+07 2.2827494055494521e+07 2.2783916414436240e+07 2.2732194314170733e+07 2.2670015758272745e+07 2.2594746096752506e+07 2.2505073398380645e+07 2.2399697824951407e+07 2.2276500467588447e+07 2.2132880091920979e+07 2.1965918915136430e+07 2.1772417667145066e+07 2.1548921600460708e+07 2.1291767901704345e+07 2.0997163361232188e+07 2.0661301809152085e+07 2.0280524460393805e+07 1.9851535591650993e+07 1.9371671583806083e+07 1.8839224607354395e+07 1.8253801009763706e+07 1.7567251846988987e+07 1.6825308232458696e+07 1.6035284987448761e+07 1.5207691505831031e+07 1.4356002795514252e+07 1.3496009935810011e+07 1.2644754715549979e+07 1.1819153320406832e+07 1.1034525056512428e+07 1.0303222168432789e+07 9.6337207252266407e+06 9.0304569109914340e+06 8.4941387610545401e+06 8.0219622992562177e+06 7.6089306577839348e+06 7.2490112300943602e+06 6.9357357287943959e+06 6.6629639912618492e+06 6.4251016562929051e+06 6.2174970091439160e+06 6.0360398550230470e+06 5.8775353790155733e+06 5.7390939696500394e+06 5.6186250825659679e+06 5.5140988882425074e+06 5.4238298278506584e+06 5.3465068014850216e+06 5.2807706449367655e+06 5.2253096883329721e+06 5.1791567497929912e+06 5.1411278058382506e+06 5.1103360299681816e+06 5.0857748402598342e+06 5.0665632068258654e+06 5.0515176999404496e+06 5.0394925758649670e+06 5.0296153874934707e+06 5.0210679993020194e+06 5.0130624784273300e+06 5.0074169861246059e+06 5.0017228543349365e+06 4.9959155244901301e+06 4.9898339186375290e+06 4.9835604106253544e+06 4.9769165093970634e+06 4.9701154812436951e+06 4.9625654036065405e+06 4.9544851450997526e+06 4.9457260043110298e+06 4.9361718632571260e+06 4.9256816199524105e+06 4.9140963195074201e+06 4.9011896451306203e+06 4.8869794060523715e+06 4.8709405912212692e+06 4.8529581850978239e+06 4.8327712558974251e+06 4.8100990010528248e+06 4.7846518409382747e+06 4.7561393173414571e+06 4.7242421806247411e+06 4.6889959173743557e+06 4.6497948124146927e+06 4.6067688690090077e+06 4.5600176267291587e+06 4.5099077918551257e+06 4.4570632874173233e+06 4.4026716780436765e+06 4.3485019558866862e+06 4.2974413810329130e+06 4.2531386800336922e+06 4.2212891959335674e+06 4.2098340837396691e+06 4.2303087037396943e+06 4.2995048513669353e+06 4.4428681644232543e+06 4.7006809686321756e+06 5.1408059305072790e+06 6.7105697442821471e+05 +1.3897032344115367e+01 2.2982760805235837e+07 2.2980400764147792e+07 2.2976373000377968e+07 2.2970886973101631e+07 2.2964936816869825e+07 2.2960216013261329e+07 2.2957540942942683e+07 2.2955584311481681e+07 2.2952884747294683e+07 2.2948984869368009e+07 2.2943858587892897e+07 2.2937333271230288e+07 2.2929144054415770e+07 2.2919004414785478e+07 2.2906602138337202e+07 2.2891563977679670e+07 2.2873441465554379e+07 2.2851708355838429e+07 2.2825749533944227e+07 2.2794843876763750e+07 2.2758150753514558e+07 2.2714676571016222e+07 2.2663077519964110e+07 2.2601047248665288e+07 2.2525957396584015e+07 2.2436499213142239e+07 2.2331376244395707e+07 2.2208474977826003e+07 2.2065200803230237e+07 2.1898643460880376e+07 2.1705612069829386e+07 2.1482661132014047e+07 2.1226137896642424e+07 2.0932259919162013e+07 2.0597232295815032e+07 2.0217407704649612e+07 1.9789501630259965e+07 1.9310860795137987e+07 1.8779786043780845e+07 1.8195889761652827e+07 1.7511157017075378e+07 1.6771207783317199e+07 1.5983344988689590e+07 1.5158056648036635e+07 1.4308786453926111e+07 1.3451284942254271e+07 1.2602546236424148e+07 1.1779435206918957e+07 1.0997220596651942e+07 1.0268209665469071e+07 9.6008430604408383e+06 8.9995329869528413e+06 8.4649753608972318e+06 7.9943665355792632e+06 7.5827187479904024e+06 7.2240137070327150e+06 6.9118006389519190e+06 6.6399572385911085e+06 6.4029062798192576e+06 6.1960107412996665e+06 6.0151738212778317e+06 5.8572112637956329e+06 5.7192431900887722e+06 5.5991861204333324e+06 5.4950171686910801e+06 5.4050565606768671e+06 5.3279976901730122e+06 5.2624860847943705e+06 5.2072145939203063e+06 5.1612193539576167e+06 5.1233204270458249e+06 5.0926340049713720e+06 5.0681569502538331e+06 5.0490112231720816e+06 5.0340174267916838e+06 5.0220337323319400e+06 5.0121906437644586e+06 5.0036728087731032e+06 4.9956950002504922e+06 4.9900690615213076e+06 4.9843946551901912e+06 4.9786074444079399e+06 4.9725469083695998e+06 4.9662951351767778e+06 4.9596742549886368e+06 4.9528967804351076e+06 4.9453728602610985e+06 4.9373205959873134e+06 4.9285918013585899e+06 4.9190707606832152e+06 4.9086168608086519e+06 4.8970716975327935e+06 4.8842097410590341e+06 4.8700487243749127e+06 4.8540654756118702e+06 4.8361453689998966e+06 4.8160283767275820e+06 4.7934346690611532e+06 4.7680756696091173e+06 4.7396619264425552e+06 4.7078752987640500e+06 4.6727511362539381e+06 4.6336858417557683e+06 4.5908089597665817e+06 4.5442196850191019e+06 4.4942834533686927e+06 4.4416220262971763e+06 4.3874188541908488e+06 4.3334368032135256e+06 4.2825531178488499e+06 4.2384039017825760e+06 4.2066647591203880e+06 4.1952493356651273e+06 4.2156530230418174e+06 4.2846094435901316e+06 4.4274760813373178e+06 4.6843957098610858e+06 5.1229958713533478e+06 6.6844788565059705e+05 +1.3902000666889625e+01 2.2913075462283891e+07 2.2910722454869919e+07 2.2906706747261185e+07 2.2901236899748534e+07 2.2895303931347366e+07 2.2890596060735926e+07 2.2887927187794372e+07 2.2885974095462650e+07 2.2883279818766445e+07 2.2879388242833540e+07 2.2874273223732028e+07 2.2867762523410112e+07 2.2859591929274548e+07 2.2849475606284723e+07 2.2837102082341578e+07 2.2822099003265329e+07 2.2804018975375086e+07 2.2782337007668696e+07 2.2756439453424200e+07 2.2725606917164035e+07 2.2689000787889052e+07 2.2645629872027140e+07 2.2594153640968364e+07 2.2532271376697976e+07 2.2457360996494588e+07 2.2368116924410503e+07 2.2263246083467722e+07 2.2140640346205454e+07 2.1997711712956425e+07 2.1831557431067102e+07 2.1638994990634449e+07 2.1416588122368976e+07 2.1160694114855375e+07 2.0867541262708098e+07 2.0533345899825171e+07 2.0154472136488821e+07 1.9727646632394742e+07 1.9250226417952783e+07 1.8720520978444256e+07 1.8138148706441145e+07 1.7455228362329964e+07 1.6717268988647820e+07 1.5931561616949024e+07 1.5108572901999231e+07 1.4261715267806940e+07 1.3406698784241397e+07 1.2560470016384458e+07 1.1739842650768885e+07 1.0960035012363560e+07 1.0233309521225242e+07 9.5680715325674564e+06 8.9687093781915642e+06 8.4359069278774783e+06 7.9668608984307731e+06 7.5565926342273504e+06 7.1990981398837185e+06 6.8879441188645540e+06 6.6170260801356602e+06 6.3807838867521556e+06 6.1745951693799943e+06 5.9943764795182394e+06 5.8369540881544463e+06 5.6994578187556090e+06 5.5798112340399241e+06 5.4759983689581072e+06 5.3863452153002005e+06 5.3095496460553184e+06 5.2442618653269885e+06 5.1891792270290852e+06 5.1433411750840032e+06 5.1055718438785644e+06 5.0749904337909780e+06 5.0505972406231174e+06 5.0315172052366827e+06 5.0165749504878614e+06 5.0046325498822173e+06 4.9948234490442295e+06 4.9863350699209962e+06 4.9783848823249768e+06 4.9727784326104196e+06 4.9671236865962539e+06 4.9613565284323609e+06 4.9553169926201543e+06 4.9490868824574547e+06 4.9424889472637055e+06 4.9357349485485107e+06 4.9282370994462464e+06 4.9202127369426424e+06 4.9115141882494139e+06 4.9020261386257987e+06 4.8916084621461369e+06 4.8801033034764165e+06 4.8672859171965681e+06 4.8531739603743004e+06 4.8372460941570383e+06 4.8193880812938800e+06 4.7993407949666074e+06 4.7768253750556726e+06 4.7515542450953610e+06 4.7232389561075233e+06 4.6915624724726649e+06 4.6565600074688718e+06 4.6176300748844566e+06 4.5749017619990772e+06 4.5284739198455364e+06 4.4787107180474186e+06 4.4262317636866821e+06 4.3722164064815613e+06 4.3184214068429656e+06 4.2677140267795213e+06 4.2237177887242073e+06 4.1920886230662642e+06 4.1807127572528953e+06 4.2010457462782506e+06 4.2697632315081870e+06 4.4121348343396364e+06 4.6681642370918989e+06 5.1052446342708627e+06 6.6584868578750582e+05 +1.3906968989663884e+01 2.2843583934280183e+07 2.2841238081379190e+07 2.2837234312741902e+07 2.2831780603110176e+07 2.2825864778292358e+07 2.2821169807956308e+07 2.2818507121869553e+07 2.2816557566740718e+07 2.2813868572484307e+07 2.2809985287160352e+07 2.2804881513348676e+07 2.2798385405897036e+07 2.2790233403288789e+07 2.2780140356780984e+07 2.2767795534823500e+07 2.2752827474778432e+07 2.2734789854421388e+07 2.2713158935634430e+07 2.2687322536788527e+07 2.2656562986736603e+07 2.2620043690497980e+07 2.2576775849455506e+07 2.2525422209333099e+07 2.2463687674747810e+07 2.2388956429144576e+07 2.2299926065150872e+07 2.2195306875504136e+07 2.2072996106614292e+07 2.1930412355515644e+07 2.1764660360818077e+07 2.1572565965483889e+07 2.1350702108413853e+07 2.1095436094409503e+07 2.0803006931389656e+07 2.0469642162452612e+07 2.0091717299222451e+07 1.9665970143906161e+07 1.9189768001157295e+07 1.8661428963865962e+07 1.8080577401018735e+07 1.7399465445314482e+07 1.6663491417811133e+07 1.5879934449603856e+07 1.5059239854496691e+07 1.4214788834759256e+07 1.3362251071581004e+07 1.2518525678686196e+07 1.1700375289752457e+07 1.0922967956674295e+07 1.0198521404340500e+07 9.5354058257732056e+06 8.9379857839473411e+06 8.4069331755582727e+06 7.9394451146836663e+06 7.5305520555317095e+06 7.1742642786615370e+06 6.8641659283745438e+06 6.5941702844348578e+06 6.3587342533269888e+06 6.1532500763888257e+06 5.9736476187142897e+06 5.8167636462801853e+06 5.6797376544033317e+06 5.5605002261104537e+06 5.4570422952249246e+06 5.3676956008818178e+06 5.2911624808398783e+06 5.2260978004242368e+06 5.1712034033756461e+06 5.1255220304238731e+06 5.0878818748523807e+06 5.0574051359668914e+06 5.0330955317277871e+06 5.0140809740319066e+06 4.9991900925572412e+06 4.9872888504582485e+06 4.9775136256216783e+06 4.9690546053250227e+06 4.9611319475173280e+06 4.9555449224585500e+06 4.9499097718216553e+06 4.9441626000308255e+06 4.9381439950698344e+06 4.9319354763761936e+06 4.9253604103560532e+06 4.9186298099719100e+06 4.9111579458127907e+06 4.9031613929048022e+06 4.8944929902258441e+06 4.8850378226703797e+06 4.8746562499162611e+06 4.8631909636958335e+06 4.8504180003630398e+06 4.8363549413695838e+06 4.8204822747440897e+06 4.8026861505023921e+06 4.7827083398494329e+06 4.7602709490732979e+06 4.7350873983264351e+06 4.7068702382751517e+06 4.6753035348190824e+06 4.6404223653317923e+06 4.6016273474988900e+06 4.5590471129227579e+06 4.5127801700776378e+06 4.4631894265354443e+06 4.4108923420917848e+06 4.3570641793507868e+06 4.3034556131217964e+06 4.2529239559724070e+06 4.2090801905681472e+06 4.1775606386096505e+06 4.1662241997487419e+06 4.1864867239684989e+06 4.2549660631916532e+06 4.3968442664389536e+06 4.6519863842211068e+06 5.0875520376064861e+06 6.6325933855772880e+05 +1.3911937312438143e+01 2.2774285905059062e+07 2.2771947047170479e+07 2.2767955213404093e+07 2.2762517613945164e+07 2.2756618890236631e+07 2.2751936787198916e+07 2.2749280277411107e+07 2.2747334257569820e+07 2.2744650540727198e+07 2.2740775534523573e+07 2.2735682988958020e+07 2.2729201450892292e+07 2.2721068008670796e+07 2.2710998198511586e+07 2.2698682028037593e+07 2.2683748924444515e+07 2.2665753635036014e+07 2.2644173672142684e+07 2.2618398316495545e+07 2.2587711618064776e+07 2.2551278994018674e+07 2.2508114036160875e+07 2.2456882758095331e+07 2.2395295676103611e+07 2.2320743228037160e+07 2.2231926169235997e+07 2.2127558154777985e+07 2.2005541793742616e+07 2.1863302266181815e+07 2.1697951786060862e+07 2.1506324531135738e+07 2.1285002627912905e+07 2.1030363374264706e+07 2.0738656465601493e+07 2.0406120625776369e+07 2.0029142737055797e+07 1.9604471711503100e+07 1.9129485094506640e+07 1.8602509553490277e+07 1.8023175403216008e+07 1.7343867829513110e+07 1.6609874641055074e+07 1.5828463064951230e+07 1.5010057093226301e+07 1.4168006753300611e+07 1.3317941414990036e+07 1.2476712847536486e+07 1.1661032762552582e+07 1.0886019083505100e+07 1.0163844984286953e+07 9.5028456250409782e+06 8.9073619042747673e+06 8.3780538182615098e+06 7.9121189119367572e+06 7.5045967516482947e+06 7.1495118740671314e+06 6.8404658279624963e+06 6.5713896206629453e+06 6.3367571563938567e+06 6.1319752459394764e+06 5.9529870284183575e+06 5.7966397329212287e+06 5.6600824963434981e+06 5.5412528999249190e+06 5.4381487542083543e+06 5.3491075271176407e+06 5.2728360067645125e+06 5.2079937044912409e+06 5.1532869391976465e+06 5.1077617377327317e+06 5.0702503389794026e+06 5.0398779315416478e+06 5.0156516444303850e+06 4.9967023510686262e+06 4.9818626750138272e+06 4.9700024564889213e+06 4.9602609962685835e+06 4.9518312380632916e+06 4.9439360191818532e+06 4.9383683546187328e+06 4.9327527346210973e+06 4.9270254831659393e+06 4.9210277398949657e+06 4.9148407413215237e+06 4.9082884689015560e+06 4.9015811895699231e+06 4.8941352244917676e+06 4.8861663892878694e+06 4.8775280330169182e+06 4.8681056388748437e+06 4.8577600505573815e+06 4.8463345050385026e+06 4.8336058178486777e+06 4.8195914951573107e+06 4.8037738457358582e+06 4.7860394056220436e+06 4.7661308410797268e+06 4.7437712216170505e+06 4.7186749607066233e+06 4.6905556053587487e+06 4.6590983193330960e+06 4.6243380446209675e+06 4.5856774957491383e+06 4.5432448502120823e+06 4.4971382750363154e+06 4.4477194199143369e+06 4.3956036044609537e+06 4.3419620176590942e+06 4.2885392688195622e+06 4.2381827540009432e+06 4.1944909574509487e+06 4.1630806570060193e+06 4.1517835148105030e+06 4.1719758070471282e+06 4.2402177871447522e+06 4.3816042210802268e+06 4.6358619856124688e+06 5.0699179002154069e+06 6.6067980780751351e+05 +1.3916905635212402e+01 2.2705180819876865e+07 2.2702848901596583e+07 2.2698868989662830e+07 2.2693447465646978e+07 2.2687565800354019e+07 2.2682896531541973e+07 2.2680246187464405e+07 2.2678303701042198e+07 2.2675625256510608e+07 2.2671758518016737e+07 2.2666677183598682e+07 2.2660210191451833e+07 2.2652095278470196e+07 2.2642048664541185e+07 2.2629761095085900e+07 2.2614862885445919e+07 2.2596909850399502e+07 2.2575380750415314e+07 2.2549666325868070e+07 2.2519052344526060e+07 2.2482706231974132e+07 2.2439643965806052e+07 2.2388534821113691e+07 2.2327094914812330e+07 2.2252720927535206e+07 2.2164116771310173e+07 2.2059999456339937e+07 2.1938276943118885e+07 2.1796380981051881e+07 2.1631431243601073e+07 2.1440270225217532e+07 2.1219489219493397e+07 2.0965475494228374e+07 2.0674489406563975e+07 2.0342780832786169e+07 1.9966747995074332e+07 1.9543150882808294e+07 1.9069377248673592e+07 1.8543762301625352e+07 1.7965942271747179e+07 1.7288435079324070e+07 1.6556418229555305e+07 1.5777147042219322e+07 1.4961024206828784e+07 1.4121368622877490e+07 1.3273769426108664e+07 1.2435031148013312e+07 1.1621814708750753e+07 1.0849188047637857e+07 1.0129279931392888e+07 9.4703906161787733e+06 8.8768374399964735e+06 8.3492685710678622e+06 7.8848820185168991e+06 7.4787264630183717e+06 7.1248406774688233e+06 6.8168435787653336e+06 6.5486838586221356e+06 6.3148523734185882e+06 6.1107704622335481e+06 5.9323944987542704e+06 5.7765821434026984e+06 5.6404921444353834e+06 5.5220690593049098e+06 5.4193175531655867e+06 5.3305808042251766e+06 5.2545700366000067e+06 5.1899493924453268e+06 5.1354296512381891e+06 5.0900601152726440e+06 5.0526770557836583e+06 5.0224086410525423e+06 4.9982654000951378e+06 4.9793811583497170e+06 4.9645925203801030e+06 4.9527731909025311e+06 4.9430653842544463e+06 4.9346647917005410e+06 4.9267969211644595e+06 4.9212485531342411e+06 4.9156523992372863e+06 4.9099450022869008e+06 4.9039680517561510e+06 4.8978025021812515e+06 4.8912729480133671e+06 4.8845889126980575e+06 4.8771687611095505e+06 4.8692275520026851e+06 4.8606191428333595e+06 4.8512294137906730e+06 4.8409196909799110e+06 4.8295337548241513e+06 4.8168491974409586e+06 4.8028834500192963e+06 4.7871206359699378e+06 4.7694476761247860e+06 4.7496081288429126e+06 4.7273260236664079e+06 4.7023167641128944e+06 4.6742948902300820e+06 4.6429466600097148e+06 4.6083068805661481e+06 4.5697803562605241e+06 4.5274948119882271e+06 4.4815480744831450e+06 4.4323005397153525e+06 4.3803653941745851e+06 4.3269097667027125e+06 4.2736722211350705e+06 4.2234902698550718e+06 4.1799499399177986e+06 4.1486485299259922e+06 4.1373905545091587e+06 4.1575128468707548e+06 4.2255182522827797e+06 4.3664145421451870e+06 4.6197908760947874e+06 5.0523420414517531e+06 6.5811005751014675e+05 +1.3921873957986660e+01 2.2636268239409667e+07 2.2633943274778768e+07 2.2629975186203688e+07 2.2624569693447180e+07 2.2618705042576209e+07 2.2614048574944485e+07 2.2611404385949805e+07 2.2609465431070976e+07 2.2606792253762234e+07 2.2602933771486815e+07 2.2597863631159980e+07 2.2591411161466751e+07 2.2583314746589411e+07 2.2573291288756404e+07 2.2561032269881018e+07 2.2546168891712420e+07 2.2528258034521621e+07 2.2506779704520918e+07 2.2481126099029429e+07 2.2450584700417325e+07 2.2414324938756447e+07 2.2371365172912396e+07 2.2320377933096331e+07 2.2259084925775278e+07 2.2184889062806398e+07 2.2096497406896282e+07 2.1992630316107996e+07 2.1871201091156147e+07 2.1729648037090234e+07 2.1565098271107424e+07 2.1374402586212028e+07 2.1154161422615703e+07 2.0900771994963758e+07 2.0610505296407681e+07 2.0279622327340722e+07 1.9904532619235467e+07 1.9482007206328206e+07 1.9009444015202802e+07 1.8485186763536632e+07 1.7908877566260513e+07 1.7233166760037608e+07 1.6503121755418034e+07 1.5725985961553071e+07 1.4912140784852047e+07 1.4074874043853082e+07 1.3229734717481932e+07 1.2393480206116669e+07 1.1582720768818852e+07 1.0812474504715839e+07 1.0094825916816944e+07 9.4380404857897591e+06 8.8464120927316565e+06 8.3205771498233918e+06 7.8577341634961795e+06 7.4529409307955848e+06 7.1002504409212433e+06 6.7932989425818995e+06 6.5260527687504198e+06 6.2930196824674131e+06 6.0896355100735463e+06 5.9118698204318415e+06 5.7565906736122724e+06 5.6209663991033938e+06 5.5029485086073363e+06 5.4005484998798454e+06 5.3121152429489959e+06 5.2363643836175343e+06 5.1719646797190430e+06 5.1176313567508031e+06 5.0724169818144906e+06 5.0351618452853691e+06 5.0049970855464069e+06 4.9809366205769200e+06 4.9621172183786798e+06 4.9473794516656091e+06 4.9356008771209391e+06 4.9259266133400863e+06 4.9175550902940910e+06 4.9097144778009141e+06 4.9041853425468998e+06 4.8986085904056840e+06 4.8929209823321905e+06 4.8869647558083190e+06 4.8808205843288796e+06 4.8743136732958732e+06 4.8676528052002145e+06 4.8602583817639463e+06 4.8523447074341429e+06 4.8437661463737050e+06 4.8344089744527861e+06 4.8241349985908596e+06 4.8127885408620378e+06 4.8001479673932297e+06 4.7862306347065857e+06 4.7705224747677986e+06 4.7529107919606585e+06 4.7331400337960478e+06 4.7109351866712430e+06 4.6860126408771472e+06 4.6580879262318928e+06 4.6268483913091999e+06 4.5923287088604737e+06 4.5539357660875637e+06 4.5117968368278835e+06 4.4660094086349318e+06 4.4169326279049227e+06 4.3651775550556798e+06 4.3119072722072648e+06 4.2588543176943613e+06 4.2088463529486600e+06 4.1654569889418706e+06 4.1342641094456925e+06 4.1230451713307346e+06 4.1430976952012684e+06 4.2108673079487840e+06 4.3512750739518758e+06 4.6037728909462271e+06 5.0348242811819371e+06 6.5555005176553084e+05 +1.3926842280760919e+01 2.2567547509006746e+07 2.2565229630957332e+07 2.2561273333969962e+07 2.2555883833154086e+07 2.2550036151391566e+07 2.2545392452180278e+07 2.2542754407604069e+07 2.2540818982382435e+07 2.2538151067186907e+07 2.2534300829697490e+07 2.2529241866352454e+07 2.2522803895650573e+07 2.2514725947726492e+07 2.2504725605922837e+07 2.2492495087197058e+07 2.2477666478054069e+07 2.2459797722235814e+07 2.2438370069396142e+07 2.2412777170999389e+07 2.2382308220794033e+07 2.2346134649556365e+07 2.2303277192840077e+07 2.2252411629530281e+07 2.2191265244772058e+07 2.2117247169903446e+07 2.2029067612409502e+07 2.1925450270855349e+07 2.1804313775092114e+07 2.1663102972132377e+07 2.1498952407075670e+07 2.1308721153454836e+07 2.1089018777619425e+07 2.0836252418011054e+07 2.0546703678115420e+07 2.0216644654193282e+07 1.9842496156386726e+07 1.9421040231432516e+07 1.8949684946558107e+07 1.8426782495320298e+07 1.7851980847290829e+07 1.7178062437895756e+07 1.6449984791689640e+07 1.5674979404024603e+07 1.4863406417771583e+07 1.4028522617507968e+07 1.3185836902588785e+07 1.2352059648738667e+07 1.1543750584099280e+07 1.0775878111269578e+07 1.0060482612587033e+07 9.4057949213250838e+06 8.8160855648861546e+06 8.2919792711265134e+06 7.8306750766557707e+06 7.4272398968227310e+06 7.0757409171550991e+06 6.7698316818535719e+06 6.5034961221183930e+06 6.2712588622390013e+06 6.0685701748487018e+06 5.8914127847401667e+06 5.7366651199983424e+06 5.6015050613134596e+06 5.4838910527420742e+06 5.3818414026787840e+06 5.2937106545643350e+06 5.2182188616149547e+06 5.1540393822608478e+06 5.0998918734909771e+06 5.0548321566281868e+06 5.0177045280070547e+06 4.9876430865539238e+06 4.9636651282293368e+06 4.9449103541511353e+06 4.9302232923660418e+06 4.9184853390533710e+06 4.9088445077829147e+06 4.9005019583946820e+06 4.8926885139260404e+06 4.8871785478742030e+06 4.8816211333526568e+06 4.8759532487234203e+06 4.8700176776863690e+06 4.8638948136169389e+06 4.8574104708421836e+06 4.8507726934034945e+06 4.8434039130551014e+06 4.8355176824588776e+06 4.8269688708173083e+06 4.8176441483691335e+06 4.8074058012630697e+06 4.7960986914340062e+06 4.7835019564409805e+06 4.7696328784541758e+06 4.7539791919191461e+06 4.7364285835479926e+06 4.7167263870626772e+06 4.6945985425521964e+06 4.6697624238153761e+06 4.6419345471668663e+06 4.6108033481488535e+06 4.5764033656561598e+06 4.5381435627533812e+06 4.4961507637538416e+06 4.4505221181492684e+06 4.4016155268902667e+06 4.3500399313610801e+06 4.2969543803313244e+06 4.2440854065471785e+06 4.1942508531168774e+06 4.1510119558956395e+06 4.1199272480626456e+06 4.1087472181636631e+06 4.1287302042195834e+06 4.1962648039049348e+06 4.3361856612579674e+06 4.5878078659108654e+06 5.0173644397644205e+06 6.5299975479977089e+05 +1.3931810603535178e+01 2.2499018412074726e+07 2.2496707459714111e+07 2.2492762962828450e+07 2.2487389419783350e+07 2.2481558661968011e+07 2.2476927698932830e+07 2.2474295787995465e+07 2.2472363890566774e+07 2.2469701232341964e+07 2.2465859228180170e+07 2.2460811424710646e+07 2.2454387929515127e+07 2.2446328417448107e+07 2.2436351151578054e+07 2.2424149082601182e+07 2.2409355180091251e+07 2.2391528449237179e+07 2.2370151380764753e+07 2.2344619077596083e+07 2.2314222441572543e+07 2.2278134900414195e+07 2.2235379561755355e+07 2.2184635446806978e+07 2.2123635408370193e+07 2.2049794785700832e+07 2.1961826924994171e+07 2.1858458858159658e+07 2.1737614533023726e+07 2.1596745324854840e+07 2.1432993190848906e+07 2.1243225467134062e+07 2.1024060825703379e+07 2.0771916305783018e+07 2.0483084095553607e+07 2.0153847358945195e+07 1.9780638154245440e+07 1.9360249508409899e+07 1.8890099596071359e+07 1.8368549054029275e+07 1.7795251676284730e+07 1.7123121680018678e+07 1.6397006912267910e+07 1.5624126951630335e+07 1.4814820696993351e+07 1.3982313946044480e+07 1.3142075595780555e+07 1.2310769103672713e+07 1.1504903796828425e+07 1.0739398524665745e+07 1.0026249691537576e+07 9.3736536110281143e+06 8.7858575596494563e+06 8.2634746523248088e+06 7.8037044885165403e+06 7.4016231036490146e+06 7.0513118595659425e+06 6.7464415596760521e+06 6.4810136904240632e+06 6.2495696920194067e+06 6.0475742425420452e+06 5.8710231835365854e+06 5.7168052795773130e+06 5.5821079325896502e+06 5.4648964971627668e+06 5.3631960704136705e+06 5.2753668508651741e+06 5.2001332849095818e+06 5.1361733165300805e+06 5.0822110197335426e+06 5.0373054594965102e+06 5.0003049249730026e+06 4.9703464661180312e+06 4.9464507459048722e+06 4.9277603891543578e+06 4.9131238664830336e+06 4.9014264011072125e+06 4.8918188923153896e+06 4.8835052210384933e+06 4.8757188548482265e+06 4.8702279946302185e+06 4.8646898537835889e+06 4.8590416273766812e+06 4.8531266435196400e+06 4.8470250163920820e+06 4.8405631672278186e+06 4.8339484041188685e+06 4.8266051820516353e+06 4.8187463044326333e+06 4.8102271438233769e+06 4.8009347635404244e+06 4.7907319273636080e+06 4.7794640353041152e+06 4.7669109938010620e+06 4.7530900109689226e+06 4.7374906176921334e+06 4.7200008817838235e+06 4.7003670202391194e+06 4.6783159236938292e+06 4.6535659462023377e+06 4.6258345873032734e+06 4.5948113659131890e+06 4.5605306875616508e+06 4.5224035842331611e+06 4.4805564322382435e+06 4.4350860441260329e+06 4.3863490795200849e+06 4.3349523677756656e+06 4.2820509376550848e+06 4.2293653361601839e+06 4.1797036206089961e+06 4.1366146925782179e+06 4.1056377986857342e+06 4.0944965483177020e+06 4.1144102265155059e+06 4.1817105903298859e+06 4.3211461492371140e+06 4.5718956371918190e+06 4.9999623380639581e+06 6.5045913096475368e+05 +1.3936778926309437e+01 2.2430680478817295e+07 2.2428376353170656e+07 2.2424443618258085e+07 2.2419085987514779e+07 2.2413272110107873e+07 2.2408653851673227e+07 2.2406028063523542e+07 2.2404099692029580e+07 2.2401442285624653e+07 2.2397608503306653e+07 2.2392571842637543e+07 2.2386162799460612e+07 2.2378121692124464e+07 2.2368167462145180e+07 2.2355993792549863e+07 2.2341234534287345e+07 2.2323449752011456e+07 2.2302123175203718e+07 2.2276651355442714e+07 2.2246326899514638e+07 2.2210325228209715e+07 2.2167671816696443e+07 2.2117048922158219e+07 2.2056194954031438e+07 2.1982531447887953e+07 2.1894774882712148e+07 2.1791655616506286e+07 2.1671102903879136e+07 2.1530574634736974e+07 2.1367220162680846e+07 2.1177915068298068e+07 2.0959287108895034e+07 2.0707763201531310e+07 2.0419646093455240e+07 2.0091229988078594e+07 1.9718958161429714e+07 1.9299634588411696e+07 1.8830687517973106e+07 1.8310485997600134e+07 1.7738689615594573e+07 1.7068344054463081e+07 1.6344187692015460e+07 1.5573428187281063e+07 1.4766383214819504e+07 1.3936247632588694e+07 1.3098450412359688e+07 1.2269608199608343e+07 1.1466180050125843e+07 1.0703035403153852e+07 9.9921268273722753e+06 9.3416162439489216e+06 8.7557277810043134e+06 8.2350630115386024e+06 7.7768221303213444e+06 7.3760902945296206e+06 7.0269630222318536e+06 6.7231283397921817e+06 6.4586052459812323e+06 6.2279519517138246e+06 6.0266474997293334e+06 5.8507008092634389e+06 5.6970109499224238e+06 5.5627748150027562e+06 5.4459646478441721e+06 5.3446123124649683e+06 5.2570836441697227e+06 5.1821074683340956e+06 5.1183662994942302e+06 5.0645886142495209e+06 5.0198367106951857e+06 4.9829628577056890e+06 4.9531070467686588e+06 4.9292932969427006e+06 4.9106671473730272e+06 4.8960809985025944e+06 4.8844238881746354e+06 4.8748495921780290e+06 4.8665647037528176e+06 4.8588053263740651e+06 4.8533335088152578e+06 4.8478145779013680e+06 4.8421859446918638e+06 4.8362914799130326e+06 4.8302110194807053e+06 4.8237715895072659e+06 4.8171797646398796e+06 4.8098620163133163e+06 4.8020304011886111e+06 4.7935407935389513e+06 4.7842806484338725e+06 4.7741132057264308e+06 4.7628844017165909e+06 4.7503749091591341e+06 4.7366018624335676e+06 4.7210565828273809e+06 4.7036275180328060e+06 4.6840617653930848e+06 4.6620871629547905e+06 4.6374230417708168e+06 4.6097878813699791e+06 4.5788722804326434e+06 4.5447105116344113e+06 4.5067156689474871e+06 4.4650136822005538e+06 4.4197010281119300e+06 4.3711331290814271e+06 4.3199147094262121e+06 4.2671967911944771e+06 4.2146939554348579e+06 4.1652045060955854e+06 4.1222650511969007e+06 4.0913956146219145e+06 4.0802930155039090e+06 4.1001376150895879e+06 4.1672045178214512e+06 4.3061563835134190e+06 4.5560360414389698e+06 4.9826177974433647e+06 6.4792814473773236e+05 +1.3941747249083695e+01 2.2362533159823872e+07 2.2360235788722277e+07 2.2356314859051548e+07 2.2350973070676859e+07 2.2345176032343633e+07 2.2340570447721925e+07 2.2337950771428894e+07 2.2336025924011029e+07 2.2333373764253940e+07 2.2329548192286793e+07 2.2324522657307323e+07 2.2318128042689603e+07 2.2310105308987454e+07 2.2300174074836943e+07 2.2288028754265256e+07 2.2273304077943232e+07 2.2255561167937931e+07 2.2234284990112629e+07 2.2208873542071801e+07 2.2178621132230882e+07 2.2142705170656249e+07 2.2100153495535053e+07 2.2049651593610670e+07 2.1988943420020193e+07 2.1915456695049200e+07 2.1827911024471469e+07 2.1725040085187692e+07 2.1604778427433006e+07 2.1464590442175213e+07 2.1301632863593005e+07 2.1112789498870701e+07 2.0894697170154821e+07 2.0643792649394400e+07 2.0356389217370912e+07 2.0028792088946588e+07 1.9657455727418128e+07 1.9239195023495588e+07 1.8771448267421037e+07 1.8252592884836882e+07 1.7682294228470989e+07 1.7013729130168784e+07 1.6291526706728347e+07 1.5522882694807615e+07 1.4718093564497208e+07 1.3890323281164067e+07 1.3054960968535516e+07 1.2228576566159837e+07 1.1427578988004647e+07 1.0666788405842463e+07 9.9581136946160179e+06 9.3096825099668149e+06 8.7256959337029159e+06 8.2067440676239785e+06 7.7500277340385271e+06 7.3506412134023914e+06 7.0026941598880189e+06 6.6998917865915140e+06 6.4362705617414853e+06 6.2064054218242308e+06 6.0057897335726526e+06 5.8304454549284037e+06 5.6772819291722253e+06 5.5435055111744786e+06 5.4270953113172706e+06 5.3260899387497576e+06 5.2388608473182153e+06 5.1641412272357140e+06 5.1006181486362126e+06 5.0470244763190737e+06 5.0024257309987321e+06 4.9656781482227780e+06 4.9359246515323967e+06 4.9121926051822435e+06 4.8936304532747539e+06 4.8790945133955050e+06 4.8674776256378256e+06 4.8579364330872232e+06 4.8496802325480608e+06 4.8419477547869962e+06 4.8364949169116141e+06 4.8309951323825419e+06 4.8253860275480272e+06 4.8195120139594171e+06 4.8134526501924461e+06 4.8070355652225623e+06 4.8004666027446864e+06 4.7931742438774901e+06 4.7853698010543222e+06 4.7769096485830890e+06 4.7676816320084184e+06 4.7575494656694215e+06 4.7463596203849250e+06 4.7338935326823611e+06 4.7201682635087287e+06 4.7046769185393061e+06 4.6873083241278445e+06 4.6678104550629305e+06 4.6459120936490586e+06 4.6213335447289459e+06 4.5937942645593612e+06 4.5629859280095147e+06 4.5289426753983079e+06 4.4910796557817580e+06 4.4495223540105084e+06 4.4043669120915039e+06 4.3559675192956533e+06 4.3049268018664941e+06 4.2523917883857330e+06 4.2000711136860168e+06 4.1507533606590792e+06 4.1079628843736225e+06 4.0772005496025099e+06 4.0661364738425189e+06 4.0859122233568039e+06 4.1527464373919088e+06 4.2912162101290142e+06 4.5402289157720506e+06 4.9653306397635043e+06 6.4540676072091260e+05 +1.3946715571857954e+01 2.2294575879970517e+07 2.2292285358081166e+07 2.2288376236888375e+07 2.2283050205498558e+07 2.2277269966018245e+07 2.2272677025238175e+07 2.2270063449829280e+07 2.2268142124587651e+07 2.2265495206274908e+07 2.2261677833176263e+07 2.2256663406777456e+07 2.2250283197259180e+07 2.2242278806065742e+07 2.2232370527729359e+07 2.2220253505883362e+07 2.2205563349198952e+07 2.2187862235167544e+07 2.2166636363763757e+07 2.2141285175798956e+07 2.2111104678107712e+07 2.2075274266307831e+07 2.2032824136968076e+07 2.1982443000035144e+07 2.1921880345459625e+07 2.1848570066567067e+07 2.1761234890008550e+07 2.1658611804337703e+07 2.1538640644323703e+07 2.1398792288345620e+07 2.1236230835530475e+07 2.1047848301592913e+07 2.0830290553232685e+07 2.0580004194365427e+07 2.0293313013804130e+07 1.9966533209773194e+07 1.9596130402569905e+07 1.9178930366574191e+07 1.8712381400402013e+07 1.8194869275499947e+07 1.7626065079097670e+07 1.6959276477010444e+07 1.6239023533047186e+07 1.5472490058946967e+07 1.4669951340179566e+07 1.3844540496726476e+07 1.3011606881381648e+07 1.2187673833797358e+07 1.1389100255338082e+07 1.0630657192700915e+07 9.9242099686272833e+06 9.2778520997732636e+06 8.6957617232820448e+06 8.1785175401996300e+06 7.7233210323586930e+06 7.3252756049043695e+06 6.9785050279522547e+06 6.6767316651118668e+06 6.4140094112786949e+06 6.1849298834638847e+06 5.9850007318224143e+06 5.8102569141222537e+06 5.6576180160208307e+06 5.5242998242731411e+06 5.4082882946441658e+06 5.3076287597135697e+06 5.2206982736752694e+06 5.1462343774755476e+06 5.0829286819369383e+06 5.0295184257233385e+06 4.9850723416928928e+06 4.9484506190404817e+06 4.9187991039325586e+06 4.8951484949450390e+06 4.8766501318257106e+06 4.8621642366310032e+06 4.8505874393615490e+06 4.8410792412438029e+06 4.8328516339245252e+06 4.8251459668670036e+06 4.8197120458891997e+06 4.8142313443927299e+06 4.8086417033142978e+06 4.8027880732406853e+06 4.7967497363235252e+06 4.7903549223992275e+06 4.7838087466887813e+06 4.7765416932628015e+06 4.7687643328185575e+06 4.7603335380542036e+06 4.7511375436930191e+06 4.7410405369834062e+06 4.7298895215049889e+06 4.7174666950104916e+06 4.7037890453178994e+06 4.6883514565115627e+06 4.6710431323766503e+06 4.6516129222511314e+06 4.6297905495704226e+06 4.6052972897424735e+06 4.5778535725232409e+06 4.5471521453983318e+06 4.5132270168224527e+06 4.4754953840544093e+06 4.4340822884764904e+06 4.3890835384936538e+06 4.3408520943276677e+06 4.2899884910800084e+06 4.2376357770959716e+06 4.1854966606476041e+06 4.1363500358035006e+06 4.0937080451394692e+06 4.0630524577556243e+06 4.0520267778653535e+06 4.0717339051373405e+06 4.1383362004742860e+06 4.2763254755629506e+06 4.5244740977555411e+06 4.9481006873814380e+06 6.4289494364103884e+05 +1.3951683894632213e+01 2.2226808267814040e+07 2.2224524624312446e+07 2.2220627270577837e+07 2.2215316931202691e+07 2.2209553449446529e+07 2.2204973123230889e+07 2.2202365637599871e+07 2.2200447832658298e+07 2.2197806150589027e+07 2.2193996964852199e+07 2.2188993629910983e+07 2.2182627802036081e+07 2.2174641722262982e+07 2.2164756359730635e+07 2.2152667586296078e+07 2.2138011886999942e+07 2.2120352492735472e+07 2.2099176835195247e+07 2.2073885795753185e+07 2.2043777076444581e+07 2.2008032054537088e+07 2.1965683280533519e+07 2.1915422681178886e+07 2.1855005270266689e+07 2.1781871102668196e+07 2.1694746019881245e+07 2.1592370314927094e+07 2.1472689096018445e+07 2.1333179715370055e+07 2.1171013621239524e+07 2.0983091020068437e+07 2.0766066802753869e+07 2.0516397382300433e+07 2.0230417030077331e+07 1.9904452899684601e+07 1.9534981738128260e+07 1.9118840171476815e+07 1.8653486473841157e+07 1.8137314730178595e+07 1.7570001732514076e+07 1.6904985665764183e+07 1.6186677748611974e+07 1.5422249865381418e+07 1.4621956136935491e+07 1.3798898885146743e+07 1.2968387768928573e+07 1.2146899633915596e+07 1.1350743497888479e+07 1.0594641424546890e+07 9.8904153256243039e+06 9.2461247048515864e+06 8.6659248560543023e+06 8.1503831496260604e+06 7.6967017586884508e+06 7.2999932143635042e+06 6.9543953825016068e+06 6.6536477410228830e+06 6.3918215687866351e+06 6.1635251183554921e+06 5.9642802828147067e+06 5.7901349809904136e+06 5.6380190097257085e+06 5.5051575580086987e+06 5.3895434054227863e+06 5.2892285863201460e+06 5.2025957371166851e+06 5.1283867354272045e+06 5.0652977178966487e+06 5.0120702827548580e+06 4.9677763645526059e+06 4.9312800931718536e+06 4.9017302279812954e+06 4.8781607910558321e+06 4.8597260084753698e+06 4.8452899941539578e+06 4.8337531557059316e+06 4.8242778433453040e+06 4.8160787348575843e+06 4.8083997898676405e+06 4.8029847231959701e+06 4.7975230415806584e+06 4.7919527998345485e+06 4.7861194858085299e+06 4.7801021061451109e+06 4.7737294895402258e+06 4.7672060252108946e+06 4.7599641934650652e+06 4.7522138257632768e+06 4.7438122915311502e+06 4.7346482133873757e+06 4.7245862499404941e+06 4.7134739357442046e+06 4.7010942272552196e+06 4.6874640394696547e+06 4.6720800288944719e+06 4.6548317755562700e+06 4.6354690004253257e+06 4.6137223649697127e+06 4.5893141119371569e+06 4.5619656413707072e+06 4.5313707698007198e+06 4.4975633743270747e+06 4.4599626935391361e+06 4.4186933268592823e+06 4.3738507501870850e+06 4.3257866987663973e+06 4.2750996234812615e+06 4.2229286056172680e+06 4.1709704464802281e+06 4.1219943834443367e+06 4.0795003869392225e+06 4.0489511936246711e+06 4.0379637825056268e+06 4.0576025146592231e+06 4.1239736589140855e+06 4.2614840267159035e+06 4.5087714254129101e+06 4.9309277631530082e+06 6.4039265834898187e+05 +1.3956652217406472e+01 2.2159230019049671e+07 2.2156953122960996e+07 2.2153067464472961e+07 2.2147772790169612e+07 2.2142026021883227e+07 2.2137458281482246e+07 2.2134856874506831e+07 2.2132942587979417e+07 2.2130306136879314e+07 2.2126505127032276e+07 2.2121512866424717e+07 2.2115161396691736e+07 2.2107193597275775e+07 2.2097331110559747e+07 2.2085270535290416e+07 2.2070649231143903e+07 2.2053031480468202e+07 2.2031905944336753e+07 2.2006674941958040e+07 2.1976637867313594e+07 2.1940978075585440e+07 2.1898730466587655e+07 2.1848590177597716e+07 2.1788317735280544e+07 2.1715359344416361e+07 2.1628443955524053e+07 2.1526315158832718e+07 2.1406923324842997e+07 2.1267752266104691e+07 2.1105980764343046e+07 2.0918517198794927e+07 2.0702025464220539e+07 2.0452971759916876e+07 2.0167700814388037e+07 1.9842550708646789e+07 1.9474009286207806e+07 1.9058923992902413e+07 1.8594763045535021e+07 1.8079928810426306e+07 1.7514103754681729e+07 1.6850856268096540e+07 1.6134488931907762e+07 1.5372161700667521e+07 1.4574107550754355e+07 1.3753398053193392e+07 1.2925303250090644e+07 1.2106253598788001e+07 1.1312508362300763e+07 1.0558740763066282e+07 9.8567294426190201e+06 9.2145000174831655e+06 8.6361850391253792e+06 8.1223406170130465e+06 7.6701696471669348e+06 7.2747937878110418e+06 6.9303649802829819e+06 6.6306397806531666e+06 6.3697068090708004e+06 6.1421909088087333e+06 5.9436281754678320e+06 5.7700794502610778e+06 5.6184847100839680e+06 5.4860785166415526e+06 5.3708604517900664e+06 5.2708892300665183e+06 5.1845530520479362e+06 5.1105981179751316e+06 5.0477250755154435e+06 4.9946798681925712e+06 4.9505376218535919e+06 4.9141663941200543e+06 4.8847178481823597e+06 4.8612293188148458e+06 4.8428579091629321e+06 4.8284716124010747e+06 4.8169746015124666e+06 4.8075320665578432e+06 4.7993613628224609e+06 4.7917090515306983e+06 4.7863127767705070e+06 4.7808700520750545e+06 4.7753191454412416e+06 4.7695060802050512e+06 4.7635095884100515e+06 4.7571590956214769e+06 4.7506582675256301e+06 4.7434415739599457e+06 4.7357181096331002e+06 4.7273457390660308e+06 4.7182134714825340e+06 4.7081864352795873e+06 4.6971126942429421e+06 4.6847759609983843e+06 4.6711930780319292e+06 4.6558624683182295e+06 4.6386740869011460e+06 4.6193785235202219e+06 4.5977073745566616e+06 4.5733838469021861e+06 4.5461303076723674e+06 4.5156416388880601e+06 4.4819515867911344e+06 4.4444814244623296e+06 4.4033553108581286e+06 4.3586683904786427e+06 4.3107711776437610e+06 4.2602600459203068e+06 4.2082701226580022e+06 4.1564923217572803e+06 4.1076862559098960e+06 4.0653397636204013e+06 4.0348966121548796e+06 4.0239473431037073e+06 4.0435179065610762e+06 4.1096586649646829e+06 4.2466917109219600e+06 4.4931207372153243e+06 4.9138116904314123e+06 6.3789986981932784e+05 +1.3961620540180730e+01 2.2091840483056784e+07 2.2089570325277347e+07 2.2085696339732699e+07 2.2080417326495755e+07 2.2074687223716930e+07 2.2070132040636491e+07 2.2067536701124165e+07 2.2065625931094915e+07 2.2062994705750797e+07 2.2059201860248871e+07 2.2054220656841040e+07 2.2047883521797124e+07 2.2039933971641455e+07 2.2030094320764933e+07 2.2018061893402230e+07 2.2003474922258161e+07 2.1985898739047661e+07 2.1964823231943954e+07 2.1939652155231334e+07 2.1909686591659356e+07 2.1874111870495994e+07 2.1831965236360986e+07 2.1781945030668262e+07 2.1721817282091133e+07 2.1649034333763674e+07 2.1562328239175513e+07 2.1460445878645487e+07 2.1341342873954304e+07 2.1202509484317996e+07 2.1041131809334509e+07 2.0854126383077629e+07 2.0638166083970319e+07 2.0389726874791645e+07 2.0105163915763173e+07 1.9780826187506314e+07 1.9413212599811554e+07 1.8999181386414047e+07 1.8536210674187701e+07 1.8022711078624111e+07 1.7458370712488174e+07 1.6796887856615063e+07 1.6082456662361380e+07 1.5322225152308991e+07 1.4526405178528393e+07 1.3708037608549226e+07 1.2882352944679255e+07 1.2065735361592354e+07 1.1274394496090762e+07 1.0522954870805996e+07 9.8231519974818695e+06 9.1829777307846379e+06 8.6065419803511407e+06 8.0943896642287653e+06 7.6437244326266767e+06 7.2496770719522415e+06 6.9064135787044847e+06 6.6077075509640751e+06 6.3476649075757181e+06 6.1209270377447158e+06 5.9230441992892632e+06 5.7500901172299515e+06 5.5990149174691485e+06 5.4670625049764346e+06 5.3522392424018178e+06 5.2526105029724129e+06 5.1665700333807562e+06 5.0928683425202314e+06 5.0302105742970724e+06 4.9773470033270903e+06 4.9333559363664929e+06 4.8971093458850700e+06 4.8677617895319434e+06 4.8443539040186414e+06 4.8260456603106027e+06 4.8117089183046203e+06 4.8002516041013002e+06 4.7908417385486681e+06 4.7826993457624149e+06 4.7750735800767979e+06 4.7696960350239389e+06 4.7642722044839775e+06 4.7587405689411387e+06 4.7529476854411121e+06 4.7469720123530105e+06 4.7406435701076128e+06 4.7341653033231553e+06 4.7269736646988047e+06 4.7192770146624111e+06 4.7109337111903876e+06 4.7018331488304278e+06 4.6918409242145484e+06 4.6808056286107786e+06 4.6685117283006012e+06 4.6549759935480617e+06 4.6396986078670248e+06 4.6225699001229052e+06 4.6033413259319151e+06 4.5817454135105908e+06 4.5575063306858484e+06 4.5303474084489290e+06 4.4999645907782596e+06 4.4663914935402563e+06 4.4290514174901601e+06 4.3880680826146286e+06 4.3435363031144589e+06 4.2958053764200248e+06 4.2454696056649499e+06 4.1936601773605105e+06 4.1420621374745970e+06 4.0934255059451777e+06 4.0512260294483104e+06 4.0208885686966712e+06 4.0099773154048407e+06 4.0294799358859579e+06 4.0953910713033453e+06 4.2319483759430917e+06 4.4775218720882963e+06 4.8967522930562068e+06 6.3541654314996954e+05 +1.3966588862954989e+01 2.2024639243705232e+07 2.2022375858326893e+07 2.2018513436265316e+07 2.2013250084361777e+07 2.2007536596422054e+07 2.2002993942118499e+07 2.2000404658890985e+07 2.1998497403412905e+07 2.1995871398532879e+07 2.1992086705868851e+07 2.1987116542532943e+07 2.1980793718710598e+07 2.1972862386773419e+07 2.1963045531763032e+07 2.1951041202111162e+07 2.1936488501814041e+07 2.1918953809989590e+07 2.1897928239580262e+07 2.1872816977232493e+07 2.1842922791238870e+07 2.1807432981155850e+07 2.1765387131891925e+07 2.1715486782642573e+07 2.1655503453181706e+07 2.1582895613429628e+07 2.1496398413944762e+07 2.1394762017944004e+07 2.1275947287373148e+07 2.1137450914636254e+07 2.0976466301503368e+07 2.0789918119095299e+07 2.0574488209215634e+07 2.0326662275362469e+07 2.0042805884178378e+07 1.9719278887968864e+07 1.9352591232811514e+07 1.8939611908485353e+07 1.8477828919344477e+07 1.7965661098101091e+07 1.7402802173683275e+07 1.6743080004795635e+07 1.6030580520313129e+07 1.5272439808718119e+07 1.4478848618090510e+07 1.3662817159814494e+07 1.2839536473416835e+07 1.2025344556382112e+07 1.1236401547633009e+07 1.0487283411149312e+07 9.7896826689132452e+06 9.1515575386463702e+06 8.5769953883869871e+06 8.0665300138701759e+06 7.6173658506463589e+06 7.2246428141949354e+06 6.8825409358421890e+06 6.5848508195558125e+06 6.3256956403496228e+06 6.0997332886812435e+06 5.9025281443733992e+06 5.7301667777522644e+06 5.5796094328019004e+06 5.4481093283562157e+06 5.3336795864674421e+06 5.2343922175818905e+06 5.1486464965473460e+06 5.0751972269631298e+06 5.0127540342536205e+06 4.9600715099398000e+06 4.9162311313595837e+06 4.8801087729528621e+06 4.8508618775166478e+06 4.8275343729548138e+06 4.8092890888342736e+06 4.7950017392652491e+06 4.7835839912831308e+06 4.7742066874482604e+06 4.7660925121062463e+06 4.7584932042074045e+06 4.7531343268543631e+06 4.7477293279001359e+06 4.7422168996222764e+06 4.7364441310196472e+06 4.7304892076807730e+06 4.7241827429351248e+06 4.7177269627777850e+06 4.7105602961096019e+06 4.7028903715544697e+06 4.6945760389059475e+06 4.6855070767604187e+06 4.6755495484363306e+06 4.6645525709343338e+06 4.6523013616794925e+06 4.6388126190249752e+06 4.6235882811044799e+06 4.6065190493968753e+06 4.5873572425338272e+06 4.5658363174630674e+06 4.5416813997940617e+06 4.5146167811806742e+06 4.4843394640401416e+06 4.4508829343475522e+06 4.4136725137367472e+06 4.3728314847176485e+06 4.3284543322734786e+06 4.2808891409928631e+06 4.2307281504190341e+06 4.1790986192800626e+06 4.1276797450383175e+06 4.0792119867009330e+06 4.0371590390899084e+06 4.0069269190089102e+06 3.9960535555551238e+06 4.0154884580815760e+06 4.0811707310127714e+06 4.2172538699632669e+06 4.4619746694100434e+06 4.8797493953631567e+06 6.3294264356169559e+05 +1.3971557185729248e+01 2.1957625741837017e+07 2.1955369265786164e+07 2.1951518313106991e+07 2.1946270606498700e+07 2.1940573682580169e+07 2.1936043528221775e+07 2.1933460290044472e+07 2.1931556547179475e+07 2.1928935757445730e+07 2.1925159206097871e+07 2.1920200065685157e+07 2.1913891529633820e+07 2.1905978384840373e+07 2.1896184285778731e+07 2.1884208003635727e+07 2.1869689512090337e+07 2.1852196235647526e+07 2.1831220509669606e+07 2.1806168950463321e+07 2.1776346008647554e+07 2.1740940950305700e+07 2.1698995696052417e+07 2.1649214976579331e+07 2.1589375791842710e+07 2.1516942727025781e+07 2.1430654023773424e+07 2.1329263121048186e+07 2.1210736109951902e+07 2.1072576102484591e+07 2.0911983787029162e+07 2.0725891953861289e+07 2.0510991388005823e+07 2.0263777510930896e+07 1.9980626270399615e+07 1.9657908362636730e+07 1.9292144739948422e+07 1.8880215116474725e+07 1.8419617341500942e+07 1.7908778433061510e+07 1.7347397706944980e+07 1.6689432287061969e+07 1.5978860086989306e+07 1.5222805259200515e+07 1.4431437468139317e+07 1.3617736316501483e+07 1.2796853457937296e+07 1.1985080818116950e+07 1.1198529166204672e+07 1.0451726048345216e+07 9.7563211364302039e+06 9.1202391357821710e+06 8.5475449726452511e+06 8.0387613892850010e+06 7.5910936374930926e+06 7.1996907626289669e+06 6.8587468104323857e+06 6.5620693546691667e+06 6.3037987840652885e+06 6.0786094457351472e+06 5.8820798013738692e+06 5.7103092282587867e+06 5.5602680575528918e+06 5.4292187926679365e+06 5.3151812937111817e+06 5.2162341869572094e+06 5.1307822574911360e+06 5.0575845897255084e+06 4.9953552758970214e+06 4.9428532103215577e+06 4.8991630305907214e+06 4.8631645003095549e+06 4.8340179381052917e+06 4.8107705523864636e+06 4.7925880221242951e+06 4.7783499031692203e+06 4.7669715913473871e+06 4.7576267418834558e+06 4.7495406907621818e+06 4.7419677531041754e+06 4.7366274816321470e+06 4.7312412518890835e+06 4.7257479672520980e+06 4.7199952469090596e+06 4.7140610045819469e+06 4.7077764445166495e+06 4.7013430765291536e+06 4.6942012990934281e+06 4.6865580114844730e+06 4.6782725536838090e+06 4.6692350870725000e+06 4.6593121401030337e+06 4.6483533537645210e+06 4.6361446941344915e+06 4.6227027879435988e+06 4.6075313220494539e+06 4.5905213693528008e+06 4.5714261086391136e+06 4.5499799225174282e+06 4.5259088911903398e+06 4.4989382638096418e+06 4.4687660976934014e+06 4.4354257494378407e+06 4.3983445547616221e+06 4.3576453601877009e+06 4.3134223225783408e+06 4.2660223176814392e+06 4.2160355283085667e+06 4.1645852983979615e+06 4.1133449962763246e+06 4.0650455517487861e+06 4.0231386476182011e+06 3.9930115192520181e+06 3.9821759201071337e+06 4.0015433290010751e+06 4.0669974975886666e+06 4.2026080415918557e+06 4.4464789690054953e+06 4.8628028221788388e+06 6.3047813639778586e+05 +1.3976525508503507e+01 2.1890799671584543e+07 2.1888550067172676e+07 2.1884710542545870e+07 2.1879478433964275e+07 2.1873798025768235e+07 2.1869280341969743e+07 2.1866703137679398e+07 2.1864802905440863e+07 2.1862187325534068e+07 2.1858418903971739e+07 2.1853470769346066e+07 2.1847176497595578e+07 2.1839281508889291e+07 2.1829510125846028e+07 2.1817561841081984e+07 2.1803077496218480e+07 2.1785625559181321e+07 2.1764699585446466e+07 2.1739707618248984e+07 2.1709955787329938e+07 2.1674635321485803e+07 2.1632790472577121e+07 2.1583129156386517e+07 2.1523433842233490e+07 2.1451175218960159e+07 2.1365094613432255e+07 2.1263948733184308e+07 2.1145708887379598e+07 2.1007884594183955e+07 2.0847683812909801e+07 2.0662047435293000e+07 2.0447675169272177e+07 2.0201072131670564e+07 1.9918624626097612e+07 1.9596714164968640e+07 1.9231872676833212e+07 1.8820990568600744e+07 1.8361575501986485e+07 1.7852062648592222e+07 1.7292156881826948e+07 1.6635944278697541e+07 1.5927294944543630e+07 1.5173321093997885e+07 1.4384171328331001e+07 1.3572794689019291e+07 1.2754303520758651e+07 1.1944943782626119e+07 1.1160777001945421e+07 1.0416282447486825e+07 9.7230670803852975e+06 9.0890222176853716e+06 8.5181904433159120e+06 8.0110835145610878e+06 7.5649075301689021e+06 7.1748206660237052e+06 6.8350309618642107e+06 6.5393629251856497e+06 6.2819741160073075e+06 6.0575552936148085e+06 5.8616989615520295e+06 5.6905172657434307e+06 5.5409905937430570e+06 5.4103907043392714e+06 5.2967441743951729e+06 5.1981362246925449e+06 5.1129771326790564e+06 5.0400302497190256e+06 4.9780141202366911e+06 4.9256919272498265e+06 4.8821514583167695e+06 4.8462763534234278e+06 4.8172297977622226e+06 4.7940622695667082e+06 4.7759422880619690e+06 4.7617532383947950e+06 4.7504142330620363e+06 4.7411017309544459e+06 4.7330437111256151e+06 4.7254970564286159e+06 4.7201753292101342e+06 4.7148078064960372e+06 4.7093336020699376e+06 4.7036008635601141e+06 4.6976872337181028e+06 4.6914245057406481e+06 4.6850134756979579e+06 4.6778965050225668e+06 4.6702797660980234e+06 4.6620230874739103e+06 4.6530170120396279e+06 4.6431285318440795e+06 4.6322078101249384e+06 4.6200415591217233e+06 4.6066463342451034e+06 4.5915275651920931e+06 4.5745766950933840e+06 4.5555477600361556e+06 4.5341760652254801e+06 4.5101886422958737e+06 4.4833116947210645e+06 4.4532443312189905e+06 4.4200197794807525e+06 4.3830673825680381e+06 4.3425095524925543e+06 4.2984401190796113e+06 4.2512047532465179e+06 4.2013915878857374e+06 4.1501200651145028e+06 4.0990577434293618e+06 4.0509260550555433e+06 4.0091647105178833e+06 3.9791422259873734e+06 3.9683442660129652e+06 3.9876444049020596e+06 4.0528712249339558e+06 4.1880107398639251e+06 4.4310346111456938e+06 4.8459123988263486e+06 6.2802298712360417e+05 +1.3981493831277765e+01 2.1824160647270869e+07 2.1821917787977573e+07 2.1818089683948513e+07 2.1812873107022170e+07 2.1807209170497116e+07 2.1802703927271117e+07 2.1800132745709889e+07 2.1798236022095114e+07 2.1795625646675438e+07 2.1791865343345709e+07 2.1786928197359204e+07 2.1780648166454900e+07 2.1772771302809414e+07 2.1763022595872745e+07 2.1751102258350246e+07 2.1736651998149458e+07 2.1719241324617624e+07 2.1698365010988995e+07 2.1673432524761807e+07 2.1643751671548113e+07 2.1608515639126521e+07 2.1566771006006520e+07 2.1517228866820291e+07 2.1457677149314426e+07 2.1385592634512641e+07 2.1299719728553336e+07 2.1198818400345933e+07 2.1080865166192982e+07 2.0943375936873596e+07 2.0783565927052580e+07 2.0598384112086248e+07 2.0384539102778234e+07 2.0138545688594043e+07 1.9856800503788274e+07 1.9535695849279597e+07 1.9171774599996015e+07 1.8761937823965080e+07 1.8303702963051289e+07 1.7795513310695916e+07 1.7237079268802155e+07 1.6582615555912638e+07 1.5875884676036038e+07 1.5123986904227218e+07 1.4337049799203388e+07 1.3527991888682071e+07 1.2711886285296930e+07 1.1904933086645100e+07 1.1123144705854118e+07 1.0380952274520323e+07 9.6899201819487624e+06 9.0579064806638863e+06 8.4889315113535952e+06 7.9834961145345243e+06 7.5388072663775114e+06 7.1500322738481127e+06 6.8113931502018990e+06 6.5167313006137935e+06 6.2602214140724204e+06 6.0365706176290140e+06 5.8413854167281222e+06 5.6707906877607564e+06 5.5217768439479964e+06 5.3916248703303253e+06 5.2783680393040543e+06 5.1800981448894432e+06 5.0952309390794598e+06 5.0225340263770083e+06 4.9607303887921320e+06 4.9085874840029338e+06 4.8651962392784525e+06 4.8294441582548767e+06 4.8004972834282583e+06 4.7774093522377349e+06 4.7593517150041750e+06 4.7452115737882126e+06 4.7339117456778754e+06 4.7246314842393715e+06 4.7166014030549508e+06 4.7090809443124821e+06 4.7037776999143604e+06 4.6984288222408276e+06 4.6929736347928261e+06 4.6872608118923884e+06 4.6813677262247223e+06 4.6751267579666274e+06 4.6687379918729700e+06 4.6616457457487136e+06 4.6540554675240861e+06 4.6458274726982005e+06 4.6368526844035853e+06 4.6269985567526938e+06 4.6161157735066190e+06 4.6039917905715760e+06 4.5906430923392102e+06 4.5755768454879038e+06 4.5586848621794041e+06 4.5397220329724178e+06 4.5184245826031147e+06 4.4945204909881670e+06 4.4677369127532337e+06 4.4377740045336690e+06 4.4046648655914515e+06 4.3678408396026520e+06 4.3274239055361813e+06 4.2835075672619930e+06 4.2364362948792167e+06 4.1867961781217637e+06 4.1357027702473649e+06 4.0848178391510756e+06 4.0368533510136730e+06 3.9952370836706874e+06 3.9653188961816593e+06 3.9545584506277889e+06 3.9737915424409197e+06 4.0387917673667157e+06 4.1734618142349795e+06 4.4156414365540240e+06 4.8290779511080105e+06 6.2557716132619279e+05 +1.3986462154052024e+01 2.1757707985238682e+07 2.1755471925224386e+07 2.1751655278258856e+07 2.1746454166705213e+07 2.1740806662115198e+07 2.1736313828836437e+07 2.1733748658864733e+07 2.1731855441855699e+07 2.1729250265558086e+07 2.1725498068920158e+07 2.1720571894401461e+07 2.1714306080894649e+07 2.1706447311265100e+07 2.1696721240600053e+07 2.1684828800208129e+07 2.1670412562693935e+07 2.1653043076771934e+07 2.1632216331195969e+07 2.1607343214983813e+07 2.1577733206385266e+07 2.1542581448428977e+07 2.1500936841726713e+07 2.1451513653430246e+07 2.1392105258914772e+07 2.1320194519802872e+07 2.1234528915569540e+07 2.1133871669463892e+07 2.1016204493792325e+07 2.0879049678534206e+07 2.0719629678144570e+07 2.0534901533845153e+07 2.0321582739168599e+07 2.0076197733597688e+07 1.9795153456862409e+07 1.9474852970783338e+07 1.9111850066800032e+07 1.8703056442552190e+07 1.8245999287811447e+07 1.7739129986230694e+07 1.7182164439233817e+07 1.6529445695828658e+07 1.5824628865426678e+07 1.5074802281964438e+07 1.4290072482213436e+07 1.3483327527719349e+07 1.2669601375873337e+07 1.1865048367786322e+07 1.1085631929805029e+07 1.0345735196233863e+07 9.6568801231250521e+06 9.0268916218164228e+06 8.4597678884840459e+06 7.9559989147646073e+06 7.5127925845286082e+06 7.1253253362430036e+06 6.7878331361487973e+06 6.4941742511027260e+06 6.2385404567790581e+06 6.0156552036844175e+06 5.8211389593112962e+06 5.6511292924195239e+06 5.5026266112922356e+06 5.3729210981455622e+06 5.2600526997590484e+06 5.1621197621723134e+06 5.0775434941781964e+06 5.0050957396311760e+06 4.9435039035698036e+06 4.8915397043505497e+06 4.8482971987165036e+06 4.8126677412449168e+06 4.7838202225375203e+06 4.7608116286152927e+06 4.7428161317923544e+06 4.7287247386829602e+06 4.7174639589214073e+06 4.7082158317927709e+06 4.7002135969019616e+06 4.6927192473715926e+06 4.6874344245489947e+06 4.6821041301195966e+06 4.6766678966173073e+06 4.6709749233075241e+06 4.6651023137112968e+06 4.6588830330319535e+06 4.6525164571241634e+06 4.6454488535882095e+06 4.6378849483508682e+06 4.6296855422381936e+06 4.6207419373758230e+06 4.6109220483950097e+06 4.6000770778638441e+06 4.5879952228766158e+06 4.5746928970946129e+06 4.5596789983466687e+06 4.5428457066342626e+06 4.5239487641512472e+06 4.5027253121211585e+06 4.4789042755953949e+06 4.4522137572054416e+06 4.4223549580120211e+06 4.3893608493351573e+06 4.3526647687511826e+06 4.3123882636534777e+06 4.2686245130532049e+06 4.2217167901800713e+06 4.1722491484224480e+06 4.1213332650369043e+06 4.0706251365117757e+06 4.0228272944094087e+06 3.9813556233653179e+06 3.9515413871981022e+06 3.9408183316994323e+06 3.9599845986818597e+06 4.0247589796085120e+06 4.1589611145831412e+06 4.4002992863940569e+06 4.8122993053257931e+06 6.2314062471386988e+05 +1.3991430476826283e+01 2.1691441472746748e+07 2.1689212024754930e+07 2.1685406865076602e+07 2.1680221156337287e+07 2.1674590046615366e+07 2.1670109592192408e+07 2.1667550422767218e+07 2.1665660710277956e+07 2.1663060727718592e+07 2.1659316626210902e+07 2.1654401406018987e+07 2.1648149786438044e+07 2.1640309079823777e+07 2.1630605605522010e+07 2.1618741012195304e+07 2.1604358735415973e+07 2.1587030361343008e+07 2.1566253091835573e+07 2.1541439234731045e+07 2.1511899937796310e+07 2.1476832295453206e+07 2.1435287525951315e+07 2.1385983062656749e+07 2.1326717717673432e+07 2.1254980421748735e+07 2.1169521721827731e+07 2.1069108088242926e+07 2.0951726418409571e+07 2.0814905368011739e+07 2.0655874615765553e+07 2.0471599251007643e+07 2.0258805629906945e+07 2.0014027819403324e+07 1.9733683039584279e+07 1.9414185085539714e+07 1.9052098635479186e+07 1.8644345985232707e+07 1.8188464040288303e+07 1.7682912242988594e+07 1.7127411965376303e+07 1.6476434276445514e+07 1.5773527097592641e+07 1.5025766820150316e+07 1.4243238979722111e+07 1.3438801219256671e+07 1.2627448417708503e+07 1.1825289264527056e+07 1.1048238326538710e+07 1.0310630880286336e+07 9.6239465867225919e+06 8.9959773390350416e+06 8.4306992872050647e+06 7.9285916415672991e+06 7.4868632237466387e+06 7.1006996040294431e+06 6.7643506810791492e+06 6.4716915474252775e+06 6.2169310232500304e+06 5.9948088382689888e+06 5.8009593822724856e+06 5.6315328784032874e+06 5.4835396994410334e+06 5.3542791958299503e+06 5.2417979676003307e+06 5.1442008916837992e+06 5.0599146159661897e+06 4.9877152099113865e+06 4.9263344870919306e+06 4.8745484125545258e+06 4.8314541623540744e+06 4.7959469293340612e+06 4.7671984430040345e+06 4.7442689273980279e+06 4.7263353677468486e+06 4.7122925628907932e+06 4.7010707030032249e+06 4.6918546041538650e+06 4.6838801234743986e+06 4.6764117966963593e+06 4.6711453343951469e+06 4.6658335616023839e+06 4.6604162192028183e+06 4.6547430296736844e+06 4.6488908282600492e+06 4.6426931632349463e+06 4.6363487039776323e+06 4.6293056613285840e+06 4.6217680416362509e+06 4.6135971294549294e+06 4.6046846046300987e+06 4.5948988408062430e+06 4.5840915576186161e+06 4.5720516908907928e+06 4.5587955838512555e+06 4.5438338596452195e+06 4.5270590649380144e+06 4.5082277907302594e+06 4.4870780917001385e+06 4.4633398348988891e+06 4.4367420678198617e+06 4.4069870324674826e+06 4.3741075727172913e+06 4.3375390133372629e+06 4.2974024716266552e+06 4.2537908027993543e+06 4.2070460872015767e+06 4.1577503486007969e+06 4.1070114011290800e+06 4.0564794889848083e+06 4.0088477404445922e+06 3.9675201862967545e+06 3.9378095568027319e+06 3.9271237673853869e+06 3.9462234310852345e+06 4.0107727167876777e+06 4.1445084912105091e+06 4.3850080022849729e+06 4.7955762882544827e+06 6.2071334311582788e+05 +1.3996398799600541e+01 2.1625360517782561e+07 2.1623137712373905e+07 2.1619343984486140e+07 2.1614173622160379e+07 2.1608558870696381e+07 2.1604090763682958e+07 2.1601537583821587e+07 2.1599651373737443e+07 2.1597056579529654e+07 2.1593320561577711e+07 2.1588416278525740e+07 2.1582178829447042e+07 2.1574356154817555e+07 2.1564675237063773e+07 2.1552838440770950e+07 2.1538490062831115e+07 2.1521202724819437e+07 2.1500474839443292e+07 2.1475720130678624e+07 2.1446251412544340e+07 2.1411267727107365e+07 2.1369822605746690e+07 2.1320636641732141e+07 2.1261514073098119e+07 2.1189949888154417e+07 2.1104697695425287e+07 2.1004527205239881e+07 2.0887430489111483e+07 2.0750942554986060e+07 2.0592300290316444e+07 2.0408476814859033e+07 2.0196207327340998e+07 1.9952035499623738e+07 1.9672388807029679e+07 1.9353691750476811e+07 1.8992519865152005e+07 1.8585806013758697e+07 1.8131096785376221e+07 1.7626859649615772e+07 1.7072821420361556e+07 1.6423580876676289e+07 1.5722578958303602e+07 1.4976880112647977e+07 1.4196548894987723e+07 1.3394412577321371e+07 1.2585427036905264e+07 1.1785655416262772e+07 1.1010963549654679e+07 1.0275638995142754e+07 9.5911192563927639e+06 8.9651633310042862e+06 8.4017254207727332e+06 7.9012740219762456e+06 7.4610189238642687e+06 7.0761548287165249e+06 6.7409455470145307e+06 6.4492829609976532e+06 6.1953928932214584e+06 5.9740313084678734e+06 5.7808464791716766e+06 5.6120012449502787e+06 5.4645159126195796e+06 5.3356989719473040e+06 5.2236036551939044e+06 5.1263413490875764e+06 5.0423441229489576e+06 4.9703922581585478e+06 4.9092219623555867e+06 4.8576134333768971e+06 4.8146669564031474e+06 4.7792815499358037e+06 4.7506317732245596e+06 4.7277810777703710e+06 4.7099092526698029e+06 4.6959148766967775e+06 4.6847318086005254e+06 4.6755476323239123e+06 4.6676008140755948e+06 4.6601584238434238e+06 4.6549102611962315e+06 4.6496169486291353e+06 4.6442184346862221e+06 4.6385649633300640e+06 4.6327331024202555e+06 4.6265569813617039e+06 4.6202345654423619e+06 4.6132160022290470e+06 4.6057045809148895e+06 4.5975620681704255e+06 4.5886805203172360e+06 4.5789287684790622e+06 4.5681590476565212e+06 4.5561610299344994e+06 4.5429509884031657e+06 4.5280412657183018e+06 4.5113247740327129e+06 4.4925589503318835e+06 4.4714827597280154e+06 4.4478270081373611e+06 4.4213216847901372e+06 4.3916700691744536e+06 4.3589048781845421e+06 4.3224634171310868e+06 4.2824663746654885e+06 4.2390062832849501e+06 4.1924240344033516e+06 4.1432996289060875e+06 4.0927370306040733e+06 4.0423807504668371e+06 3.9949145447279601e+06 3.9537306295606974e+06 3.9241232631616434e+06 3.9134746162290988e+06 3.9325078975124429e+06 3.9968328344431249e+06 4.1301037948351088e+06 4.3697674262807872e+06 4.7789087271680115e+06 6.1829528248172940e+05 +1.4001367122374800e+01 2.1559464586316556e+07 2.1557248510937046e+07 2.1553466169405505e+07 2.1548311113019485e+07 2.1542712681640219e+07 2.1538256890488680e+07 2.1535709689246234e+07 2.1533826979456451e+07 2.1531237368136324e+07 2.1527509422186535e+07 2.1522616059126206e+07 2.1516392757079884e+07 2.1508588083451949e+07 2.1498929682413984e+07 2.1487120633127697e+07 2.1472806092184253e+07 2.1455559714531690e+07 2.1434881121461201e+07 2.1410185450309433e+07 2.1380787178206626e+07 2.1345887291110512e+07 2.1304541628999919e+07 2.1255473938744314e+07 2.1196493873486001e+07 2.1125102467642490e+07 2.1040056385346863e+07 2.0940128569841653e+07 2.0823316255799916e+07 2.0687160789978523e+07 2.0528906253063455e+07 2.0345533777536299e+07 2.0133787384665776e+07 1.9890220328703597e+07 1.9611270315216351e+07 1.9293372523394737e+07 1.8933113315827858e+07 1.8527436090743810e+07 1.8073897088838637e+07 1.7570971775675941e+07 1.7018392378270388e+07 1.6370885076342354e+07 1.5671784034237297e+07 1.4928141754219040e+07 1.4150001832195338e+07 1.3350161216836156e+07 1.2543536860457595e+07 1.1746146463236444e+07 1.0973807253640572e+07 1.0240759210140947e+07 9.5583978165949620e+06 8.9344492972045615e+06 8.3728460031964779e+06 7.8740457837753464e+06 7.4352594254193818e+06 7.0516907624801630e+06 6.7176174966264823e+06 6.4269482638618778e+06 6.1739258470297456e+06 5.9533224019610500e+06 5.7608000441365987e+06 5.5925341918612747e+06 5.4455550555791212e+06 5.3171802356110979e+06 5.2054695754312370e+06 5.1085409505535206e+06 5.0248318341326760e+06 4.9531267058088528e+06 4.8921661528685018e+06 4.8407345920580989e+06 4.7979354075641576e+06 4.7626714309529578e+06 4.7341200420689490e+06 4.7113479093910819e+06 4.6935376168322880e+06 4.6795915108709475e+06 4.6684471068692738e+06 4.6592947477930766e+06 4.6513755004683100e+06 4.6439589608482765e+06 4.6387290371812042e+06 4.6334541236177506e+06 4.6280743756807148e+06 4.6224405570955919e+06 4.6166289692169270e+06 4.6104743206475098e+06 4.6041738749882691e+06 4.5971797100157635e+06 4.5896944001788218e+06 4.5815801926711528e+06 4.5727295190426540e+06 4.5630116663778936e+06 4.5522793833326325e+06 4.5403230757924952e+06 4.5271589470137479e+06 4.5123010533644902e+06 4.4956426713124914e+06 4.4769420810327008e+06 4.4559391550314175e+06 4.4323656349961851e+06 4.4059524487584829e+06 4.3764039098379789e+06 4.3437526086327909e+06 4.3074378243375486e+06 4.2675798184199147e+06 4.2242708017243166e+06 4.1778504806783940e+06 4.1288968399980585e+06 4.0785100059399046e+06 4.0283287752540302e+06 3.9810275632658410e+06 3.9399868106498397e+06 3.9104823648355673e+06 3.8998707371836584e+06 3.9188378562261979e+06 3.9829391885169731e+06 4.1157468765964466e+06 4.3545774008797510e+06 4.7622964498163676e+06 6.1588640888131049e+05 +1.4006335445149059e+01 2.1493753300776437e+07 2.1491543917081792e+07 2.1487772956175320e+07 2.1482633179469574e+07 2.1477051027284864e+07 2.1472607520614296e+07 2.1470066287126075e+07 2.1468187075452399e+07 2.1465602641613878e+07 2.1461882756057151e+07 2.1457000295796242e+07 2.1450791117366362e+07 2.1443004413738467e+07 2.1433368489621613e+07 2.1421587137360368e+07 2.1407306371578552e+07 2.1390100878665127e+07 2.1369471486082722e+07 2.1344834741949219e+07 2.1315506783237588e+07 2.1280690536030725e+07 2.1239444144423436e+07 2.1190494502610214e+07 2.1131656668003127e+07 2.1060437709654037e+07 2.0975597341405179e+07 2.0875911732324932e+07 2.0759383269252777e+07 2.0623559624375328e+07 2.0465692056115869e+07 2.0282769692029927e+07 2.0071545355921790e+07 1.9828581861974198e+07 1.9550327120965704e+07 1.9233226962972969e+07 1.8873878548355453e+07 1.8469235779700991e+07 1.8016864517334621e+07 1.7515248191596359e+07 1.6964124414035417e+07 1.6318346456139481e+07 1.5621141912977399e+07 1.4879551340539902e+07 1.4103597396420002e+07 1.3306046753636759e+07 1.2501777516258506e+07 1.1706762046597686e+07 1.0936769093804132e+07 1.0205991195447769e+07 9.5257819526005294e+06 8.9038349379077479e+06 8.3440607492733598e+06 7.8469066554622240e+06 7.4095844696482467e+06 7.0273071581893507e+06 6.6943662932486720e+06 6.4046872286850708e+06 6.1525296656421432e+06 5.9326819070133893e+06 5.7408198718665354e+06 5.5731315194806857e+06 5.4266569336361745e+06 5.2987227964620478e+06 5.1873955417249352e+06 5.0907995127752321e+06 5.0073775690378668e+06 4.9359183748037331e+06 4.8751668826272776e+06 4.8239117143399641e+06 4.7812593430285743e+06 4.7461164007694162e+06 4.7176630789045533e+06 4.6949692523982218e+06 4.6772202909963522e+06 4.6633222966429414e+06 4.6522164294442004e+06 4.6430957825104324e+06 4.6352040148902787e+06 4.6278132402236294e+06 4.6226014950437723e+06 4.6173449194469927e+06 4.6119838752620704e+06 4.6063696442443589e+06 4.6005782621440925e+06 4.5944450148114469e+06 4.5881664665585905e+06 4.5811966188776391e+06 4.5737373338941494e+06 4.5656513377165701e+06 4.5568314358824911e+06 4.5471473699269472e+06 4.5364524004511125e+06 4.5245376647088807e+06 4.5114192963919882e+06 4.4966130598397767e+06 4.4800125946363574e+06 4.4613770213614497e+06 4.4404471169029204e+06 4.4169555556139378e+06 4.3906342008140208e+06 4.3611883966120882e+06 4.3286506073920531e+06 4.2924620795989158e+06 4.2527426489658011e+06 4.2095842057569791e+06 4.1633252753469786e+06 4.1145418329624110e+06 4.0643301800391492e+06 4.0143234180559218e+06 3.9671866524743065e+06 3.9262885874593123e+06 3.8968867207864933e+06 3.8863119895845996e+06 3.9052131658815513e+06 3.9690916353534996e+06 4.1014375880488716e+06 4.3394377690294413e+06 4.7457392844386948e+06 6.1348668850398157e+05 +1.4011303767923318e+01 2.1428226335266605e+07 2.1426023590271875e+07 2.1422263900509156e+07 2.1417139372678299e+07 2.1411573456161231e+07 2.1407142202947851e+07 2.1404606926367663e+07 2.1402731210591689e+07 2.1400151948771264e+07 2.1396440112031940e+07 2.1391568537375212e+07 2.1385373459114272e+07 2.1377604694552056e+07 2.1367991207547266e+07 2.1356237502353005e+07 2.1341990449961245e+07 2.1324825766182944e+07 2.1304245482399106e+07 2.1279667554743785e+07 2.1250409776886001e+07 2.1215677011264816e+07 2.1174529701575711e+07 2.1125697883069195e+07 2.1067002006652325e+07 2.0995955164487112e+07 2.0911320114252567e+07 2.0811876243751209e+07 2.0695631081058677e+07 2.0560138610376131e+07 2.0402657252427742e+07 2.0220184112181086e+07 2.0009480796027221e+07 1.9767119655594856e+07 1.9489558781964853e+07 1.9173254628730688e+07 1.8814815124480926e+07 1.8411204644974466e+07 1.7959998638420753e+07 1.7459688468715917e+07 1.6910017103456419e+07 1.6265964597694684e+07 1.5570652182994304e+07 1.4831108468183514e+07 1.4057335193631027e+07 1.3262068804448206e+07 1.2460148633105820e+07 1.1667501808347853e+07 1.0899848726371901e+07 1.0171334622072801e+07 9.4932713505081162e+06 8.8733199541717190e+06 8.3153693745379327e+06 7.8198563662893977e+06 7.3839937984974533e+06 7.0030037693774048e+06 6.6711917008560402e+06 6.3824996287660711e+06 6.1312041305971667e+06 5.9121096124675982e+06 5.7209057576237833e+06 5.5537930287219826e+06 5.4078213526366455e+06 5.2803264646688262e+06 5.1693813680132022e+06 5.0731168529448966e+06 4.9899811476822207e+06 4.9187670875803418e+06 4.8582239761295412e+06 4.8071446264523752e+06 4.7646385904644057e+06 4.7296162882503746e+06 4.7012607135640299e+06 4.6786449374119369e+06 4.6609571063840007e+06 4.6471070657272963e+06 4.6360396084277174e+06 4.6269505689099990e+06 4.6190861900541652e+06 4.6117210949323280e+06 4.6065274679447152e+06 4.6012891694729868e+06 4.5959467669775952e+06 4.5903520585311931e+06 4.5845808151537934e+06 4.5784688980346331e+06 4.5722121745585687e+06 4.5652665634807050e+06 4.5578332169865482e+06 4.5497753385244571e+06 4.5409861063736072e+06 4.5313357150124246e+06 4.5206779352919385e+06 4.5088046333844364e+06 4.4957318737230236e+06 4.4809771228492288e+06 4.4644343823137721e+06 4.4458636102977050e+06 4.4250064850783097e+06 4.4015966105763484e+06 4.3753667824934358e+06 4.3460233720997861e+06 4.3135987182364101e+06 4.2775360279916069e+06 4.2379547128196247e+06 4.1949463434592709e+06 4.1488482681442304e+06 4.1002344592966223e+06 4.0501974062126200e+06 4.0003645339928498e+06 3.9533916691733925e+06 3.9126358182846145e+06 3.8833361903652139e+06 3.8727982331721969e+06 3.8916336855349685e+06 3.9552900317027206e+06 4.0871757811668669e+06 4.3243483741104743e+06 4.7292370597522315e+06 6.1109608765842568e+05 +1.4016272090697576e+01 2.1362883165847417e+07 2.1360687002405465e+07 2.1356938566181265e+07 2.1351829243847165e+07 2.1346279517533965e+07 2.1341860487135507e+07 2.1339331156692848e+07 2.1337458934577886e+07 2.1334884839284323e+07 2.1331181039774347e+07 2.1326320333558165e+07 2.1320139332027782e+07 2.1312388475526918e+07 2.1302797385895468e+07 2.1291071277856328e+07 2.1276857877109494e+07 2.1259733926936939e+07 2.1239202660306379e+07 2.1214683438679375e+07 2.1185495709244601e+07 2.1150846267016128e+07 2.1109797850844152e+07 2.1061083630722541e+07 2.1002529440257210e+07 2.0931654383265007e+07 2.0847224255385183e+07 2.0748021656051848e+07 2.0632059243659098e+07 2.0496897301042631e+07 2.0339801395781752e+07 2.0157776592685826e+07 1.9947593260720264e+07 1.9705833266606979e+07 1.9428964856798276e+07 1.9113455081078719e+07 1.8755922606793407e+07 1.8353342251854002e+07 1.7903299020516723e+07 1.7404292179230612e+07 1.6856070023309167e+07 1.6213739083487993e+07 1.5520314433679698e+07 1.4782812734638555e+07 1.4011214830714514e+07 1.3218226986895055e+07 1.2418649840663888e+07 1.1628365391384272e+07 1.0863045808367722e+07 1.0136789161861878e+07 9.4608656972197499e+06 8.8429040478329211e+06 8.2867715952881761e+06 7.7928946462214375e+06 7.3584871546051390e+06 6.9787803502496127e+06 6.6480934840741558e+06 6.3603852380196368e+06 6.1099490240641944e+06 5.8916053077716026e+06 5.7010574972577160e+06 5.5345185210479377e+06 5.3890481189674912e+06 5.2619910509349275e+06 5.1514268687496474e+06 5.0554927887865845e+06 4.9726423905971451e+06 4.9016726670708796e+06 4.8413372583508743e+06 4.7904331551015060e+06 4.7480729780278336e+06 4.7131709227422718e+06 4.6849127763619982e+06 4.6623747955185520e+06 4.6447478946989002e+06 4.6309456503151571e+06 4.6199164763956973e+06 4.6108589398881383e+06 4.6030218591397870e+06 4.5956823584282175e+06 4.5905067895210199e+06 4.5852867075203191e+06 4.5799628848412605e+06 4.5743876341712642e+06 4.5686364626781745e+06 4.5625458049570927e+06 4.5563108338595042e+06 4.5493893789389683e+06 4.5419818848446338e+06 4.5339520307769179e+06 4.5251933665169496e+06 4.5155765379842846e+06 4.5049558245848659e+06 4.4931238189835828e+06 4.4800965166350650e+06 4.4653930805593580e+06 4.4489078731079428e+06 4.4304016872763736e+06 4.4096170997485863e+06 4.3862886409135675e+06 4.3601500357756289e+06 4.3309086793414336e+06 4.2985967853755187e+06 4.2626595150352195e+06 4.2232158569227308e+06 4.1803570633191420e+06 4.1344193092364883e+06 4.0859745709175617e+06 4.0361115381849869e+06 3.9864519785884190e+06 3.9396424705819320e+06 3.8990283618184077e+06 3.8698306333285826e+06 3.8593293280778104e+06 3.8780992746398873e+06 3.9415342347176773e+06 4.0729613083396475e+06 4.3093090599462902e+06 4.7127896049585715e+06 6.0871457277220907e+05 +1.4021240413471835e+01 2.1297723305632222e+07 2.1295533675056815e+07 2.1291796504324727e+07 2.1286702344009429e+07 2.1281168761420131e+07 2.1276761923760906e+07 2.1274238528676998e+07 2.1272369797913741e+07 2.1269800863673639e+07 2.1266105089771859e+07 2.1261255234815974e+07 2.1255088286579002e+07 2.1247355307191968e+07 2.1237786575187299e+07 2.1226088014410794e+07 2.1211908203615412e+07 2.1194824911560476e+07 2.1174342570525292e+07 2.1149881944579788e+07 2.1120764131237190e+07 2.1086197854385585e+07 2.1045248143456440e+07 2.0996651296987791e+07 2.0938238520470016e+07 2.0867534917969827e+07 2.0783309317132656e+07 2.0684347521985482e+07 2.0568667310315475e+07 2.0433835250286564e+07 2.0277124040844660e+07 2.0095546689065751e+07 1.9885882306598816e+07 1.9644722252882540e+07 1.9368544904863596e+07 1.9053827881277535e+07 1.8697200558779061e+07 1.8295648166449707e+07 1.7846765232931390e+07 1.7349058896243144e+07 1.6802282751173720e+07 1.6161669496951818e+07 1.5470128255308164e+07 1.4734663738260677e+07 1.3965235915445779e+07 1.3174520919504965e+07 1.2377280769493058e+07 1.1589352439480115e+07 1.0826359997724926e+07 1.0102354487508720e+07 9.4285646804572176e+06 8.8125869215324596e+06 8.2582671285861135e+06 7.7660212259535762e+06 7.3330642813264662e+06 6.9546366556878518e+06 6.6250714081790056e+06 6.3383438309978284e+06 6.0887641288109999e+06 5.8711687829365861e+06 5.6812748871701751e+06 5.5153077984728450e+06 5.3703370395701956e+06 5.2437163664907422e+06 5.1335318589085080e+06 5.0379271385142198e+06 4.9553611188055743e+06 4.8846349367101090e+06 4.8245065547725102e+06 4.7737771274913233e+06 4.7315623343524653e+06 4.6967801340767117e+06 4.6686190980952801e+06 4.6461586582867261e+06 4.6285924881201442e+06 4.6148378830612507e+06 4.6038468663943019e+06 4.5948207288138755e+06 4.5870108557960838e+06 4.5796968646238586e+06 4.5745392938715070e+06 4.5693373678768631e+06 4.5640320633362448e+06 4.5584762058460414e+06 4.5527450396016818e+06 4.5466755706952577e+06 4.5404622797988225e+06 4.5335649008447425e+06 4.5261831733274627e+06 4.5181812506177649e+06 4.5094530527733630e+06 4.4998696756516024e+06 4.4892859055242483e+06 4.4774950591238970e+06 4.4645130632246127e+06 4.4498607715991344e+06 4.4334329062377587e+06 4.4149910921873925e+06 4.3942788015448200e+06 4.3710314881117269e+06 4.3449838030924033e+06 4.3158441618187269e+06 4.2836446534615466e+06 4.2478323866764503e+06 4.2085259286467992e+06 4.1658162142657135e+06 4.1200382492033024e+06 4.0717620201609922e+06 4.0220724300962710e+06 3.9725856077711685e+06 3.9259389143271684e+06 3.8854660771506163e+06 3.8563699098183862e+06 3.8459051348300441e+06 3.8646097930404395e+06 3.9278241019553770e+06 4.0587940223719645e+06 4.2943196707979124e+06 4.6963967497394737e+06 6.0634211039138038e+05 +1.4026208736246094e+01 2.1232746261309572e+07 2.1230563204395872e+07 2.1226837256490469e+07 2.1221758224136580e+07 2.1216240738690428e+07 2.1211846064145800e+07 2.1209328593686916e+07 2.1207463351954762e+07 2.1204899573257618e+07 2.1201211813362356e+07 2.1196372792450089e+07 2.1190219874084387e+07 2.1182504740874585e+07 2.1172958326785047e+07 2.1161287263404999e+07 2.1147140980910886e+07 2.1130098271555386e+07 2.1109664764604546e+07 2.1085262624080744e+07 2.1056214594627779e+07 2.1021731325227007e+07 2.0980880131463565e+07 2.0932400434108842e+07 2.0874128799810398e+07 2.0803596321380295e+07 2.0719574852647606e+07 2.0620853395150188e+07 2.0505454835179687e+07 2.0370952012849919e+07 2.0214624743117597e+07 2.0033493957720984e+07 1.9824347491141584e+07 1.9583786173168864e+07 1.9308298486473035e+07 1.8994372591439661e+07 1.8638648544793293e+07 1.8238121955766521e+07 1.7790396845822513e+07 1.7293988193747021e+07 1.6748654865560336e+07 1.6109755422358008e+07 1.5420093239068560e+07 1.4686661078342335e+07 1.3919398056500683e+07 1.3130950221688785e+07 1.2336041051031604e+07 1.1550462597260917e+07 1.0789790953200927e+07 1.0068030272528490e+07 9.3963679887507800e+06 8.7823682786823418e+06 8.2298556922475724e+06 7.7392358369113691e+06 7.3077249226952409e+06 6.9305724412604989e+06 6.6021252390868366e+06 6.3163751828652751e+06 6.0676492281991374e+06 5.8507998285782775e+06 5.6615577243340798e+06 5.4961606635678122e+06 5.3516879219044186e+06 5.2255022230961761e+06 5.1156961539802821e+06 5.0204197208632957e+06 4.9381371538385702e+06 4.8676537204246353e+06 4.8077316913539786e+06 4.7571763713082159e+06 4.7151064885649458e+06 4.6804437525517065e+06 4.6523795100241434e+06 4.6299963577558771e+06 4.6124907192911422e+06 4.5987835970924525e+06 4.5878306119368710e+06 4.5788357695230031e+06 4.5710530141400695e+06 4.5637644479018897e+06 4.5586248155628312e+06 4.5534409852950824e+06 4.5481541374116754e+06 4.5426176087064343e+06 4.5369063812873866e+06 4.5308580308249565e+06 4.5246663481738539e+06 4.5177929652459323e+06 4.5104369187481711e+06 4.5024628346550595e+06 4.4937650020648595e+06 4.4842149652775163e+06 4.4736680157581745e+06 4.4619181918866569e+06 4.4489813520334037e+06 4.4343800350377904e+06 4.4180093213739665e+06 4.3996316653693439e+06 4.3789914315633755e+06 4.3558249940933567e+06 4.3298679273056034e+06 4.3008296634552293e+06 4.2687421675835233e+06 4.2330544892949723e+06 4.1938847758018873e+06 4.1513236456466336e+06 4.1057049390482916e+06 4.0575966597736594e+06 4.0080799364891057e+06 3.9587652778807627e+06 3.9122808584235697e+06 3.8719488237705398e+06 3.8429538803750067e+06 3.8325255143420002e+06 3.8511651009779484e+06 3.9141594913685243e+06 4.0446737764793243e+06 4.2793800513720401e+06 4.6800583242546553e+06 6.0397866718007892e+05 +1.4031177059020353e+01 2.1167951605817877e+07 2.1165775134894062e+07 2.1162060371658035e+07 2.1156996435448449e+07 2.1151495001130197e+07 2.1147112460508589e+07 2.1144600903935678e+07 2.1142739148875926e+07 2.1140180520198468e+07 2.1136500762681380e+07 2.1131672558630697e+07 2.1125533646731332e+07 2.1117836328753483e+07 2.1108312192865469e+07 2.1096668577040382e+07 2.1082555761259466e+07 2.1065553559225854e+07 2.1045168794936918e+07 2.1020825029653922e+07 2.0991846651985772e+07 2.0957446232281756e+07 2.0916693367752861e+07 2.0868330595168702e+07 2.0810199831602111e+07 2.0739838147141397e+07 2.0656020415944040e+07 2.0557538829987541e+07 2.0442421373200491e+07 2.0308247144304667e+07 2.0152303058919057e+07 1.9971617955876324e+07 1.9762988372641675e+07 1.9523024587070383e+07 1.9248225162736405e+07 1.8935088774587456e+07 1.8580266130033113e+07 1.8180763187686596e+07 1.7734193430276107e+07 1.7239079646621484e+07 1.6695185945880098e+07 1.6057996444909887e+07 1.5370208977031294e+07 1.4638804355062073e+07 1.3873700863455022e+07 1.3087514513730723e+07 1.2294930317609932e+07 1.1511695510240139e+07 1.0753338334420158e+07 1.0033816191282177e+07 9.3642753114435840e+06 8.7522478234744892e+06 8.2015370048357006e+06 7.7125382112462521e+06 7.2824688234538557e+06 6.9065874631689955e+06 6.5792547433642279e+06 6.2944790694172056e+06 6.0466041062026862e+06 5.8304982358718915e+06 5.6419058062888617e+06 5.4770769194538584e+06 5.3331005739834569e+06 5.2073484330359381e+06 5.0979195699745230e+06 5.0029703550737025e+06 4.9209703177305674e+06 4.8507288426330099e+06 4.7910124945534356e+06 4.7406307147210157e+06 4.6987052702615438e+06 4.6641616089520687e+06 4.6361938438966190e+06 4.6138877264369670e+06 4.5964424213351402e+06 4.5827826260092026e+06 4.5718675470123058e+06 4.5629038963223193e+06 4.5551481687589018e+06 4.5478849431073433e+06 4.5427631896265009e+06 4.5375973949986342e+06 4.5323289424737841e+06 4.5268116783647770e+06 4.5211203235481726e+06 4.5150930213830834e+06 4.5089228752502324e+06 4.5020734086526493e+06 4.4947429578844337e+06 4.4867966199515685e+06 4.4781290517703155e+06 4.4686122445947332e+06 4.4581019933945350e+06 4.4463930558005339e+06 4.4335012220618967e+06 4.4189507104103966e+06 4.4026369586340953e+06 4.3843232475989219e+06 4.3637548313284423e+06 4.3406690012356425e+06 4.3148022517297892e+06 4.2858650286117364e+06 4.2538891732585784e+06 4.2183256697045937e+06 4.1792922466155654e+06 4.1368792072355323e+06 4.0914192301982874e+06 4.0434783429242424e+06 3.9941339123204970e+06 3.9449908456570567e+06 3.8986681613024222e+06 3.8584764615543992e+06 3.8295824059274280e+06 3.8191903279252383e+06 3.8377650590887112e+06 3.9005402613085462e+06 4.0306004243004671e+06 4.2644900468002921e+06 4.6637741591399973e+06 6.0162420992014220e+05 +1.4036145381794611e+01 2.1103338870715532e+07 2.1101169036961835e+07 2.1097465409808543e+07 2.1092416529768437e+07 2.1086931101460733e+07 2.1082560665864207e+07 2.1080055012484293e+07 2.1078196741668943e+07 2.1075643257467929e+07 2.1071971490712784e+07 2.1067154086307544e+07 2.1061029157448418e+07 2.1053349623805296e+07 2.1043847726440854e+07 2.1032231508377150e+07 2.1018152097728707e+07 2.1001190327725127e+07 2.0980854214725807e+07 2.0956568714624427e+07 2.0927659856731292e+07 2.0893342129087053e+07 2.0852687406023119e+07 2.0804441334086392e+07 2.0746451169992130e+07 2.0676259949724857e+07 2.0592645561835382e+07 2.0494403381769706e+07 2.0379566480176285e+07 2.0245720201116424e+07 2.0090158545435399e+07 1.9909918241627876e+07 1.9701804510263324e+07 1.9462437055027377e+07 1.9188324495671783e+07 1.8875975994566418e+07 1.8522052880589820e+07 1.8123571430948224e+07 1.7678154558243129e+07 1.7184332830599278e+07 1.6641875572417073e+07 1.6006392150676912e+07 1.5320475062168093e+07 1.4591093169482427e+07 1.3828143946790820e+07 1.3044213416859871e+07 1.2253948202445488e+07 1.1473050824810373e+07 1.0717001801862465e+07 9.9997119189550802e+06 9.3322863386824504e+06 8.7222252608935591e+06 8.1733107856712183e+06 7.6859280818332061e+06 7.2572957290361337e+06 6.8826814783216007e+06 6.5564596882166779e+06 6.2726552670636848e+06 6.0256285473815827e+06 5.8102637965926966e+06 5.6223189311437178e+06 5.4580563697999725e+06 5.3145748043523291e+06 5.1892548091175538e+06 5.0802019234187910e+06 4.9855788608917026e+06 4.9038604330128180e+06 4.8338601282502813e+06 4.7743487913107807e+06 4.7241399863838190e+06 4.6823585095213586e+06 4.6479335345349573e+06 4.6200619319260316e+06 4.5978325973194763e+06 4.5804474278397867e+06 4.5668348038739515e+06 4.5559575060712900e+06 4.5470249439837635e+06 4.5392961546997139e+06 4.5320581855541030e+06 4.5269542515638713e+06 4.5218064326730054e+06 4.5165563144025048e+06 4.5110582508931989e+06 4.5053867026677839e+06 4.4993803788680043e+06 4.4932316977492739e+06 4.4864060680313483e+06 4.4791011279729763e+06 4.4711824440328917e+06 4.4625450397260021e+06 4.4530613517776318e+06 4.4425876769969938e+06 4.4309194898526277e+06 4.4180725127660325e+06 4.4035726376937320e+06 4.3873156585910181e+06 4.3690656801217590e+06 4.3485688428236516e+06 4.3255633523503784e+06 4.2997866201155353e+06 4.2709501020887122e+06 4.2390855164487883e+06 4.2036457751574572e+06 4.1647481897467207e+06 4.1224827492223461e+06 4.0771809744913350e+06 4.0294069231871604e+06 3.9802342129517901e+06 3.9312621682410846e+06 3.8851006817809641e+06 3.8450488507840205e+06 3.8162553478025347e+06 3.8058994372763936e+06 3.8244095283975466e+06 3.8869662705318839e+06 4.0165738198730624e+06 4.2496495026621409e+06 4.6475440855136346e+06 5.9927870551071374e+05 +1.4041113704568870e+01 2.1038907795014609e+07 2.1036744458613381e+07 2.1033051928448133e+07 2.1028018059871070e+07 2.1022548593320183e+07 2.1018190234058861e+07 2.1015690473171964e+07 2.1013835684171557e+07 2.1011287338904254e+07 2.1007623551254958e+07 2.1002816929310232e+07 2.0996705960058112e+07 2.0989044179832462e+07 2.0979564481353700e+07 2.0967975611280285e+07 2.0953929544243723e+07 2.0937008131013587e+07 2.0916720578033432e+07 2.0892493233101655e+07 2.0863653763126928e+07 2.0829418570019264e+07 2.0788861800846677e+07 2.0740732205625109e+07 2.0682882370002452e+07 2.0612861284440786e+07 2.0529449846020840e+07 2.0431446606606022e+07 2.0316889712745816e+07 2.0183370740520231e+07 2.0028190760698292e+07 1.9848394373887360e+07 1.9640795464020714e+07 1.9402023138348434e+07 1.9128596048127763e+07 1.8817033816073895e+07 1.8464008363408230e+07 1.8066546255185232e+07 1.7622279802533090e+07 1.7129747322316855e+07 1.6588723326334732e+07 1.5954942126640448e+07 1.5270891088352459e+07 1.4543527123581843e+07 1.3782726917861054e+07 1.3001046553151265e+07 1.2213094339641877e+07 1.1434528188205369e+07 1.0680781016852507e+07 9.9657171315621492e+06 9.3004007614179924e+06 8.6923002966960017e+06 8.1451767548270123e+06 7.6594051822587121e+06 7.2322053855697829e+06 6.8588542442678791e+06 6.5337398415021515e+06 6.2509035528246518e+06 6.0047223369076541e+06 5.7900963030887451e+06 5.6027968975568181e+06 5.4390988188142553e+06 5.2961104220882123e+06 5.1712211646782272e+06 5.0625430313450694e+06 4.9682450585735943e+06 4.8868073227098007e+06 4.8170474026850676e+06 4.7577404090515682e+06 4.7077040154271936e+06 4.6660660369048910e+06 4.6317593610368501e+06 4.6039836068008700e+06 4.5818308038504878e+06 4.5645055728604095e+06 4.5509399652236952e+06 4.5401003240303611e+06 4.5311987477447493e+06 4.5234968074816549e+06 4.5162840110159200e+06 4.5111978373346822e+06 4.5060679344612826e+06 4.5008360895354329e+06 4.4953571628323356e+06 4.4897053553892700e+06 4.4837199402417243e+06 4.4775926528495178e+06 4.4707907808184708e+06 4.4635112667074604e+06 4.4556201448796950e+06 4.4470128042301349e+06 4.4375621254720902e+06 4.4271249055869989e+06 4.4154973334874380e+06 4.4026950640499173e+06 4.3882456573207406e+06 4.3720452622708399e+06 4.3538588046141285e+06 4.3334333084731456e+06 4.3105078906938815e+06 4.2848208766603116e+06 4.2560847291231668e+06 4.2243310435455032e+06 4.1890146533196205e+06 4.1502524542839658e+06 4.1081341222275104e+06 4.0629900241887229e+06 4.0153822545533348e+06 3.9663806941622444e+06 3.9175791031819414e+06 3.8715782790751578e+06 3.8316658521268261e+06 3.8029725677123275e+06 3.7926527044878067e+06 3.8110983703219602e+06 3.8734373781909239e+06 4.0025938176528979e+06 4.2348582649657028e+06 4.6313679349638559e+06 5.9694212096785277e+05 +1.4046082027343129e+01 2.0974657730258666e+07 2.0972500925145559e+07 2.0968819476701077e+07 2.0963800579642605e+07 2.0958347031316116e+07 2.0954000719771497e+07 2.0951506840727013e+07 2.0949655531013954e+07 2.0947112319124624e+07 2.0943456498933304e+07 2.0938660642243538e+07 2.0932563609213158e+07 2.0924919551508762e+07 2.0915462012261987e+07 2.0903900440456152e+07 2.0889887655558098e+07 2.0873006523879077e+07 2.0852767439727537e+07 2.0828598140053410e+07 2.0799827926241599e+07 2.0765675110311620e+07 2.0725216107575033e+07 2.0677202765337590e+07 2.0619492987450570e+07 2.0549641707414523e+07 2.0466432825004369e+07 2.0368668061467409e+07 2.0254390628406525e+07 2.0121198320642073e+07 1.9966399263568513e+07 1.9787045912447337e+07 1.9579960794759985e+07 1.9341782399208322e+07 1.9069039383835439e+07 1.8758261804722402e+07 1.8406132146317825e+07 1.8009687230886854e+07 1.7566568736833461e+07 1.7075322699306771e+07 1.6535728789709797e+07 1.5903645960683795e+07 1.5221456650339933e+07 1.4496105820220698e+07 1.3737449388938289e+07 1.2958013545584917e+07 1.2172368364160022e+07 1.1396127248557685e+07 1.0644675641580172e+07 9.9318315059583168e+06 9.2686182714183778e+06 8.6624726374123767e+06 8.1171346331196679e+06 7.6329692468448067e+06 7.2071975398696093e+06 6.8351055192347998e+06 6.5110949716950748e+06 6.2292237043634439e+06 5.9838852605352616e+06 5.7699955482855672e+06 5.5833395047561526e+06 5.4202040712748012e+06 5.2777072368058888e+06 5.1532473135734145e+06 5.0449427113118516e+06 4.9509687688738164e+06 4.8698108103484064e+06 4.8002904918329148e+06 4.7411871756932484e+06 4.6913226314724088e+06 4.6498276834434532e+06 4.6156389206597749e+06 4.5879587016802812e+06 4.5658821799596325e+06 4.5486166909255376e+06 4.5350979450589987e+06 4.5242958362764977e+06 4.5154251433062004e+06 4.5077499630763019e+06 4.5005622557344493e+06 4.4954937833595984e+06 4.4903817369768834e+06 4.4851681046696110e+06 4.4797082511788579e+06 4.4740761189107038e+06 4.4681115429214090e+06 4.4620055781966913e+06 4.4552273849017052e+06 4.4479732122396752e+06 4.4401095609333292e+06 4.4315321840301650e+06 4.4221144047677750e+06 4.4117135186295547e+06 4.4001264265985480e+06 4.3873687162725553e+06 4.3729696101701166e+06 4.3568256111386288e+06 4.3387024632093133e+06 4.3183480711463336e+06 4.2955024599684514e+06 4.2699048659873437e+06 4.2412687553917682e+06 4.2096256013751579e+06 4.1744321523069260e+06 4.1358048897355115e+06 4.0938331772904107e+06 4.0488462319605434e+06 4.0014041914217635e+06 3.9525732121223672e+06 3.9039415084286504e+06 3.8581008128061797e+06 3.8183273266474316e+06 3.7897339277573237e+06 3.7794499920326923e+06 3.7978314466732051e+06 3.8599534438348962e+06 3.9886602725040726e+06 4.2201161801542407e+06 4.6152455395560907e+06 5.9461442342414521e+05 +1.4051050350117388e+01 2.0910588309655532e+07 2.0908438006166566e+07 2.0904767605759811e+07 2.0899763644013599e+07 2.0894325970980793e+07 2.0889991678482626e+07 2.0887503670624491e+07 2.0885655837693579e+07 2.0883117753592864e+07 2.0879469889222071e+07 2.0874684780561220e+07 2.0868601660342079e+07 2.0860975294289384e+07 2.0851539874668941e+07 2.0840005551416118e+07 2.0826025987216871e+07 2.0809185061966904e+07 2.0788994355486780e+07 2.0764882991289210e+07 2.0736181901960418e+07 2.0702111305997755e+07 2.0661749882450491e+07 2.0613852569661211e+07 2.0556282579001769e+07 2.0486600775611743e+07 2.0403594056113482e+07 2.0306067304115605e+07 2.0192068785460576e+07 2.0059202500452742e+07 1.9904783613762580e+07 1.9725872417919096e+07 1.9519300064218905e+07 1.9281714400588628e+07 1.9009654067350775e+07 1.8699659526932988e+07 1.8348423797974832e+07 1.7952993929416861e+07 1.7511020935716823e+07 1.7021058539951816e+07 1.6482891545459671e+07 1.5852503241544714e+07 1.5172171343795082e+07 1.4448828863161368e+07 1.3692310973153263e+07 1.2915114018032128e+07 1.2131769911861675e+07 1.1357847654847531e+07 1.0608685339063168e+07 9.8980547198141757e+06 9.2369385612375978e+06 8.6327419903591461e+06 8.0891841421192065e+06 7.6066200106241247e+06 7.1822719394559087e+06 6.8114350621051555e+06 6.4885248479354940e+06 6.2076154999238243e+06 5.9631171046254747e+06 5.7499613256773604e+06 5.5639465525368694e+06 5.4013719324830482e+06 5.2593650586536378e+06 5.1353330701843575e+06 5.0274007813804885e+06 4.9337498130512405e+06 4.8528707199556734e+06 4.7835892220804235e+06 4.7246889196290188e+06 4.6749956646159468e+06 4.6336432806493342e+06 4.5995720460858690e+06 4.5719870501986183e+06 4.5499865600362541e+06 4.5327806170244571e+06 4.5193085788402930e+06 4.5085438786567654e+06 4.4997039668321237e+06 4.4920554579312131e+06 4.4848927564082360e+06 4.4798419265293395e+06 4.4747476772892950e+06 4.4695521970645832e+06 4.4641113533888627e+06 4.4584988309028568e+06 4.4525550247880127e+06 4.4464703118918138e+06 4.4397157186237583e+06 4.4324868031795202e+06 4.4246505310820322e+06 4.4161030183321685e+06 4.4067180292119170e+06 4.3963533560540099e+06 4.3848066095233327e+06 4.3720933102404773e+06 4.3577443375765197e+06 4.3416565471066823e+06 4.3235964984747758e+06 4.3033129741554372e+06 4.2805469043180374e+06 4.2550384331711996e+06 4.2265020270011155e+06 4.1949690371898785e+06 4.1598981206455901e+06 4.1214053460374000e+06 4.0795797658678479e+06 4.0347494509020406e+06 3.9874725886076237e+06 3.9388116234199996e+06 3.8903492423272077e+06 3.8446681429794445e+06 3.8050331357994317e+06 3.7765392904310580e+06 3.7662911627792129e+06 3.7846086196494554e+06 3.8465143274048227e+06 3.9747730397051787e+06 4.2054230951002613e+06 4.5991767318321923e+06 5.9229558012831619e+05 +1.4056018672891646e+01 2.0846699071709417e+07 2.0844555208613869e+07 2.0840895876390427e+07 2.0835906808677569e+07 2.0830484968845740e+07 2.0826162666512929e+07 2.0823680519228525e+07 2.0821836160500303e+07 2.0819303198606141e+07 2.0815663278397430e+07 2.0810888900557928e+07 2.0804819669765618e+07 2.0797210964477520e+07 2.0787797624902368e+07 2.0776290500508945e+07 2.0762344095625173e+07 2.0745543301730674e+07 2.0725400881859176e+07 2.0701347343403652e+07 2.0672715247038033e+07 2.0638726713959966e+07 2.0598462682497829e+07 2.0550681175833061e+07 2.0493250702148423e+07 2.0423738046849817e+07 2.0340933097540315e+07 2.0243643893201035e+07 2.0129923743064336e+07 1.9997382839724753e+07 1.9843343371837642e+07 1.9664873451764375e+07 1.9458812834927291e+07 1.9221818706385709e+07 1.8950439664092686e+07 1.8641226550025806e+07 1.8290882887950927e+07 1.7896465923015684e+07 1.7455635974649779e+07 1.6966954423556600e+07 1.6430211177440286e+07 1.5801513558867514e+07 1.5123034765261767e+07 1.4401695857053842e+07 1.3647311284581866e+07 1.2872347595236454e+07 1.2091298619469101e+07 1.1319689056925122e+07 1.0572809773183975e+07 9.8643864516372420e+06 9.2053613242447600e+06 8.6031080636276491e+06 8.0613250041390350e+06 7.5803572093425784e+06 7.1574283325251695e+06 6.7878426324314587e+06 6.4660292399826963e+06 6.1860787183916532e+06 5.9424176561292354e+06 5.7299934293488013e+06 5.5446178412360819e+06 5.3826022082966194e+06 5.2410836983113913e+06 5.1174782494092388e+06 5.0099170601214003e+06 4.9165880128733180e+06 4.8359868760414720e+06 4.7669434203058453e+06 4.7082454697424928e+06 4.6587229454268226e+06 4.6175126605086634e+06 4.5835585704670483e+06 4.5560684864486018e+06 4.5341437789356168e+06 4.5169971866150750e+06 4.5035717025026428e+06 4.4928442874791576e+06 4.4840350549499607e+06 4.4764131289437134e+06 4.4692753501999695e+06 4.4642421041823551e+06 4.4591655929261204e+06 4.4539882044403329e+06 4.4485663073759181e+06 4.4429733294775067e+06 4.4370502241742993e+06 4.4309866924877604e+06 4.4242556207858063e+06 4.4170518785911696e+06 4.4092428946787594e+06 4.4007251467955131e+06 4.3913728388059689e+06 4.3810442582341954e+06 4.3695377230650764e+06 4.3568686872110851e+06 4.3425696813135026e+06 4.3265379125417946e+06 4.3085407534286939e+06 4.2883278612527037e+06 4.2656410683216965e+06 4.2402214237197144e+06 4.2117843904938707e+06 4.1803611986799920e+06 4.1454124073001831e+06 4.1070536735463850e+06 4.0653737398351473e+06 4.0206995345199644e+06 3.9735873013299555e+06 3.9250957850433341e+06 3.8768021636276217e+06 3.8312801300060181e+06 3.7917831414264799e+06 3.7633885186161557e+06 3.7531760799814775e+06 3.7714297518361555e+06 3.8331198892404288e+06 3.9609319749346939e+06 4.1907788571182820e+06 4.5831613447977463e+06 5.8998555844484188e+05 +1.4060986995665905e+01 2.0782989620440546e+07 2.0780852161504745e+07 2.0777203848433793e+07 2.0772229629966341e+07 2.0766823582290627e+07 2.0762513240987279e+07 2.0760036943696201e+07 2.0758196056574997e+07 2.0755668211266916e+07 2.0752036223550849e+07 2.0747272559320427e+07 2.0741217194548815e+07 2.0733626119191568e+07 2.0724234820091411e+07 2.0712754844911911e+07 2.0698841538012460e+07 2.0682080800434962e+07 2.0661986576190025e+07 2.0637990753847241e+07 2.0609427519022938e+07 2.0575520891881570e+07 2.0535354065558508e+07 2.0487688141915467e+07 2.0430396915230621e+07 2.0361053079782281e+07 2.0278449508283608e+07 2.0181397388155751e+07 2.0067955061233323e+07 1.9935738899093520e+07 1.9782078099208467e+07 1.9604048576318786e+07 1.9398498670299191e+07 1.9162094881292123e+07 1.8891395740373049e+07 1.8582962442139026e+07 1.8233508986655518e+07 1.7840102784787253e+07 1.7400413429946944e+07 1.6913009930249576e+07 1.6377687270357845e+07 1.5750676503188871e+07 1.5074046512177687e+07 1.4354706407452462e+07 1.3602449938130807e+07 1.2829713902838053e+07 1.2050954124607706e+07 1.1281651105499489e+07 1.0537048608666418e+07 9.8308263807501756e+06 9.1738862546060570e+06 8.5735705660650581e+06 8.0335569422410261e+06 7.5541805794771481e+06 7.1326664679624373e+06 6.7643279904309446e+06 6.4436079182373248e+06 6.1646131392494356e+06 5.9217867025898444e+06 5.7100916539505040e+06 5.5253531717653396e+06 5.3638947051085569e+06 5.2228629669847135e+06 5.0996826666650288e+06 4.9924913666219572e+06 4.8994831906027868e+06 4.8191591036203606e+06 4.7503529138643937e+06 4.6918566554001076e+06 4.6425043049630029e+06 4.6014356554755336e+06 4.5675983274243064e+06 4.5402028449990815e+06 4.5183536719904393e+06 4.5012662356196502e+06 4.4878871524377652e+06 4.4771968995209550e+06 4.4684182447498534e+06 4.4608228134796312e+06 4.4537098747322327e+06 4.4486941541249314e+06 4.4436353218752425e+06 4.4384759649695707e+06 4.4330729515180923e+06 4.4274994532112973e+06 4.4215969798732623e+06 4.4155545589962713e+06 4.4088469306456912e+06 4.4016682779925857e+06 4.3938864915239317e+06 4.3853984095323328e+06 4.3760786739975577e+06 4.3657860659987694e+06 4.3543196084677912e+06 4.3416946888887398e+06 4.3274454836079357e+06 4.3114695502492068e+06 4.2935350715377107e+06 4.2733925766341034e+06 4.2507847969941096e+06 4.2254536835755417e+06 4.1971156928477492e+06 4.1658019339627465e+06 4.1309748616555650e+06 4.0927497230487475e+06 4.0512149514894472e+06 4.0066963367273239e+06 3.9597481852210998e+06 3.9114255543808308e+06 3.8633001314751278e+06 3.8179366346865641e+06 3.7785772057672548e+06 3.7502814755771169e+06 3.7401046072738976e+06 3.7582947062089071e+06 3.8197699900795007e+06 3.9471369342854121e+06 4.1761833139418736e+06 4.5671992119429735e+06 5.8768432585356478e+05 +1.4065955318440164e+01 2.0719459477434449e+07 2.0717328425538704e+07 2.0713691074730136e+07 2.0708731664876901e+07 2.0703341369636569e+07 2.0699042959874026e+07 2.0696572502015147e+07 2.0694735083855245e+07 2.0692212349526070e+07 2.0688588282636009e+07 2.0683835314785060e+07 2.0677793792656619e+07 2.0670220316383045e+07 2.0660851018200807e+07 2.0649398142664324e+07 2.0635517872416038e+07 2.0618797116205484e+07 2.0598750996670675e+07 2.0574812780932635e+07 2.0546318276331648e+07 2.0512493398278948e+07 2.0472423590370901e+07 2.0424873026817057e+07 2.0367720777389906e+07 2.0298545433851805e+07 2.0216142848207682e+07 2.0119327349284280e+07 2.0006162300768699e+07 1.9874270240051404e+07 1.9720987358087506e+07 1.9543397354711004e+07 1.9338357134600323e+07 1.9102542490877319e+07 1.8832521863315944e+07 1.8524866772307150e+07 1.8176301665357549e+07 1.7783904088698626e+07 1.7345352878810138e+07 1.6859224641083326e+07 1.6325319409804536e+07 1.5699991665946117e+07 1.5025206182869846e+07 1.4307860120785184e+07 1.3557726549639741e+07 1.2787212567365430e+07 1.2010736065747062e+07 1.1243733452149333e+07 1.0501401511071334e+07 9.7973741873051394e+06 9.1425130472828560e+06 8.5441292073080242e+06 8.0058796802120572e+06 7.5280898582005184e+06 7.1079860953433886e+06 6.7408908969585132e+06 6.4212606537368512e+06 6.1432185426125759e+06 5.9012240321353907e+06 5.6902557946968405e+06 5.5061523455807660e+06 5.3452492298599202e+06 5.2047026764163645e+06 5.0819461378934253e+06 4.9751235204702793e+06 4.8824351689985162e+06 4.8023872281937608e+06 4.7338175306139784e+06 4.6755223064344348e+06 4.6263395747445580e+06 4.5854120984883597e+06 4.5516911510485709e+06 4.5243899608866200e+06 4.5026160749842646e+06 4.4855876004190249e+06 4.4722547654973902e+06 4.4616015520108901e+06 4.4528533737787660e+06 4.4452843493616451e+06 4.4381961680816058e+06 4.4331979146165689e+06 4.4281567025839649e+06 4.4230153172902884e+06 4.4176311246419670e+06 4.4120770411399631e+06 4.4061951311339391e+06 4.4001737508852566e+06 4.3934894879114460e+06 4.3863358413531911e+06 4.3785811618714221e+06 4.3701226471037045e+06 4.3608353756928528e+06 4.3505786206209045e+06 4.3391521074222783e+06 4.3265711574248085e+06 4.3123715871251719e+06 4.2964513034763178e+06 4.2785792966982583e+06 4.2585069649354005e+06 4.2359779357977072e+06 4.2107350591142727e+06 4.1824957814693758e+06 4.1512910915844976e+06 4.1165853335276884e+06 4.0784933457407858e+06 4.0371032535441360e+06 3.9927397118571810e+06 3.9459550963153499e+06 3.8978007892328515e+06 3.8498430054135830e+06 3.8046375182083547e+06 3.7654151914454615e+06 3.7372180249699214e+06 3.7270766086801486e+06 3.7452033461304130e+06 3.8064644910433716e+06 3.9333877742512194e+06 4.1616363137422446e+06 4.5512901672133682e+06 5.8539184994931030e+05 +1.4070923641214423e+01 2.0656108139997866e+07 2.0653983559629679e+07 2.0650357111762989e+07 2.0645412471433327e+07 2.0640037890017282e+07 2.0635751381928265e+07 2.0633286753005318e+07 2.0631452801131669e+07 2.0628935172146913e+07 2.0625319014393929e+07 2.0620576725716192e+07 2.0614549022833861e+07 2.0606993114829164e+07 2.0597645778047975e+07 2.0586219952560250e+07 2.0572372657725267e+07 2.0555691807971328e+07 2.0535693702308569e+07 2.0511812983715631e+07 2.0483387078144908e+07 2.0449643792546317e+07 2.0409670816440467e+07 2.0362235390279304e+07 2.0305221848628562e+07 2.0236214669356965e+07 2.0154012677965526e+07 2.0057433337725714e+07 1.9944545023356631e+07 1.9812976424890522e+07 1.9660070711580787e+07 1.9482919350975294e+07 1.9278387792925838e+07 1.9043161101584911e+07 1.8773817600928836e+07 1.8466939110427074e+07 1.8119260496202841e+07 1.7727869409598973e+07 1.7290453899299555e+07 1.6805598137967039e+07 1.6273107182265365e+07 1.5649458639430325e+07 1.4976513376556581e+07 1.4261156604374848e+07 1.3513140735821035e+07 1.2744843216215141e+07 1.1970644082257135e+07 1.1205935749312043e+07 1.0465868146813003e+07 9.7640295522776078e+06 9.1112413980370145e+06 8.5147836977594737e+06 7.9782929426130950e+06 7.5020847834144095e+06 7.0833869649235914e+06 6.7175311135534933e+06 6.3989872181537431e+06 6.1218947091794079e+06 5.8807294334951658e+06 5.6704856474010032e+06 5.4870151647036839e+06 5.3266655900343992e+06 5.1866026388695687e+06 5.0642684795387229e+06 4.9578133417685572e+06 4.8654437713294579e+06 4.7856710757562509e+06 4.7173370988824759e+06 4.6592422531806603e+06 4.6102285867813891e+06 4.5694418229446895e+06 4.5358368759013573e+06 4.5086296696094116e+06 4.4869308241704023e+06 4.4699611178644570e+06 4.4566743789977180e+06 4.4460580826455774e+06 4.4373402800420485e+06 4.4297975748642730e+06 4.4227340687852204e+06 4.4177532243794845e+06 4.4127295739544211e+06 4.4076061004854031e+06 4.4022406660347246e+06 4.3967059327485412e+06 4.3908445176564977e+06 4.3848441080722855e+06 4.3781831327519687e+06 4.3710544090971537e+06 4.3633267464294471e+06 4.3548977005241653e+06 4.3456427852377798e+06 4.3354217638246836e+06 4.3240350620667683e+06 4.3114979354196703e+06 4.2973478349843677e+06 4.2814830159224337e+06 4.2636732732526986e+06 4.2436708712273957e+06 4.2212203306228975e+06 4.1960653971463982e+06 4.1679245041985963e+06 4.1368285205197283e+06 4.1022436731491443e+06 4.0642843932483476e+06 4.0230384991254210e+06 3.9788295146508906e+06 3.9322078910632012e+06 3.8842213477906366e+06 3.8364306453855983e+06 3.7913826421654182e+06 3.7522969614713918e+06 3.7241980308279982e+06 3.7140919486114783e+06 3.7321555353505593e+06 3.7932032536564106e+06 3.9196843517359886e+06 4.1471377051218459e+06 4.5354340450345660e+06 5.8310809844150033e+05 +1.4075891963988681e+01 2.0592935242367886e+07 2.0590817092742119e+07 2.0587201526159849e+07 2.0582271608925931e+07 2.0576912703317221e+07 2.0572638066770576e+07 2.0570179256297033e+07 2.0568348767988816e+07 2.0565836238705114e+07 2.0562227978411544e+07 2.0557496351674937e+07 2.0551482444689751e+07 2.0543944074116733e+07 2.0534618659244366e+07 2.0523219834261507e+07 2.0509405453634005e+07 2.0492764435475394e+07 2.0472814252931662e+07 2.0448990922147550e+07 2.0420633484516986e+07 2.0386971634844728e+07 2.0347095304129805e+07 2.0299774792866483e+07 2.0242899689751286e+07 2.0174060347460736e+07 2.0092058559101947e+07 1.9995714915451977e+07 1.9883102791504119e+07 1.9751857016776439e+07 1.9599327723601289e+07 1.9422614129930735e+07 1.9218590211222339e+07 1.8983950280649133e+07 1.8715282522036634e+07 1.8409179027216680e+07 1.8062385052185077e+07 1.7671998323208820e+07 1.7235716070369542e+07 1.6752130003704328e+07 1.6221050175105233e+07 1.5599077016838385e+07 1.4927967693342356e+07 1.4214595466436408e+07 1.3468692114260292e+07 1.2702605477673721e+07 1.1930677814349344e+07 1.1168257650274549e+07 1.0430448183144076e+07 9.7307921574554406e+06 9.0800710034239404e+06 8.4855337485810332e+06 7.9507964547147853e+06 7.4761650937203551e+06 7.0588688276480120e+06 6.6942484023960568e+06 6.3767873837807383e+06 6.1006414202771299e+06 5.8603026959803645e+06 5.6507810084126219e+06 5.4679414316995861e+06 5.3081435936492616e+06 5.1685626671381742e+06 5.0466495085752895e+06 4.9405606511177709e+06 4.8485088213507915e+06 4.7690104727955731e+06 4.7009114474895466e+06 4.6430163264328679e+06 4.5941711735471617e+06 4.5535246627200060e+06 4.5200353370088004e+06 4.4929218071287302e+06 4.4712977562708762e+06 4.4543866252631824e+06 4.4411458307137890e+06 4.4305663295773398e+06 4.4218788020064598e+06 4.4143623287334600e+06 4.4073234158395352e+06 4.4023599225866254e+06 4.3973537753416244e+06 4.3922481541057527e+06 4.3869014154337747e+06 4.3813859679776747e+06 4.3755449795933412e+06 4.3695654709343165e+06 4.3629277057748083e+06 4.3558238221005853e+06 4.3481230863488205e+06 4.3397234112579711e+06 4.3305007444353243e+06 4.3203153377856398e+06 4.3089683149901312e+06 4.2964748659085948e+06 4.2823740707409289e+06 4.2665645317161558e+06 4.2488168459901847e+06 4.2288841410276489e+06 4.2065118277971679e+06 4.1814445449198694e+06 4.1534017093028929e+06 4.1224140701686791e+06 4.0879497311853156e+06 4.0501227176131341e+06 4.0090205417789682e+06 3.9649656002646736e+06 3.9185064263080535e+06 3.8706870886527845e+06 3.8230629117277958e+06 3.7781718685282669e+06 3.7392223792486195e+06 3.7112213575772489e+06 3.7011504918546425e+06 3.7191511379969167e+06 3.7799861398236644e+06 3.9060265240441835e+06 4.1326873370992690e+06 4.5196306802978469e+06 5.8083303915377392e+05 +1.4080860286762940e+01 2.0529940289736792e+07 2.0527828562354703e+07 2.0524223885376990e+07 2.0519308638061203e+07 2.0513965370187100e+07 2.0509702574819051e+07 2.0507249572310079e+07 2.0505422544869363e+07 2.0502915109625947e+07 2.0499314735095236e+07 2.0494593753081359e+07 2.0488593618609361e+07 2.0481072754682522e+07 2.0471769222233102e+07 2.0460397348249596e+07 2.0446615820669290e+07 2.0430014559325546e+07 2.0410112209197104e+07 2.0386346156990845e+07 2.0358057056336679e+07 2.0324476486199535e+07 2.0284696614630219e+07 2.0237490795974258e+07 2.0180753862419777e+07 2.0112082030103497e+07 2.0030280053939212e+07 1.9934171645227626e+07 1.9821835168550052e+07 1.9690911579687882e+07 1.9538757958909713e+07 1.9362481257275373e+07 1.9158963956297614e+07 1.8924909596211679e+07 1.8656916196359374e+07 1.8351586094292361e+07 1.8005674907192685e+07 1.7616290406089459e+07 1.7181138971807789e+07 1.6698819821953360e+07 1.6169147976559138e+07 1.5548846392250804e+07 1.4879568734233234e+07 1.4168176316081077e+07 1.3424380303448556e+07 1.2660498980903024e+07 1.1890836903134540e+07 1.1130698809199022e+07 1.0395141288152147e+07 9.6976616854558010e+06 9.0490015607936867e+06 8.4563790717194751e+06 7.9233899425445730e+06 7.4503305284329737e+06 7.0344314351342069e+06 6.6710425263283150e+06 6.3546609235519171e+06 6.0794584578274777e+06 5.8399436094903331e+06 5.6311416746744793e+06 5.4489309496915825e+06 5.2896830492595788e+06 5.1505825745427543e+06 5.0290890424884809e+06 4.9233652696329737e+06 4.8316301433203714e+06 4.7524052462799149e+06 4.6845404057342364e+06 4.6268443574744090e+06 4.5781671679946994e+06 4.5376604521573102e+06 4.5042863698624233e+06 4.4772662098762179e+06 4.4557167084549759e+06 4.4388639603798455e+06 4.4256689588800715e+06 4.4151261314123711e+06 4.4064687785909567e+06 4.3989784501530649e+06 4.3919640486924239e+06 4.3870178488665642e+06 4.3820291465586293e+06 4.3769413181402311e+06 4.3716132130308039e+06 4.3661169872233905e+06 4.3602963575498555e+06 4.3543376802907111e+06 4.3477230480480576e+06 4.3406439216852803e+06 4.3329700232383395e+06 4.3245996212096112e+06 4.3154090955306841e+06 4.3052591851202277e+06 4.2939517092233803e+06 4.2815017923841272e+06 4.2674501383962901e+06 4.2516956954410858e+06 4.2340098601294039e+06 4.2141466202787943e+06 4.1918522740905811e+06 4.1668723501116005e+06 4.1389272454829141e+06 4.1080475903590205e+06 4.0737033587133852e+06 4.0360081712956112e+06 3.9950492354613198e+06 3.9511478242585636e+06 3.9048505593089438e+06 3.8571978708203686e+06 3.8097396651735362e+06 3.7650050596674746e+06 3.7261913085576626e+06 3.6982878700238778e+06 3.6882521035832241e+06 3.7061900185902696e+06 3.7668130118520474e+06 3.8924141488838526e+06 4.1182850591288814e+06 4.5038799083537506e+06 5.7856664002360741e+05 +1.4085828609537199e+01 2.0467122935182825e+07 2.0465017535320755e+07 2.0461423746897660e+07 2.0456523120945700e+07 2.0451195451943133e+07 2.0446944467348807e+07 2.0444497262360647e+07 2.0442673693004698e+07 2.0440171346138671e+07 2.0436578845673252e+07 2.0431868491153833e+07 2.0425882105838452e+07 2.0418378717772480e+07 2.0409097028293699e+07 2.0397752055837207e+07 2.0384003320175953e+07 2.0367441740924101e+07 2.0347587132611409e+07 2.0323878249802329e+07 2.0295657355285179e+07 2.0262157908443231e+07 2.0222474309942938e+07 2.0175382961798042e+07 2.0118783929109596e+07 2.0050279280094642e+07 1.9968676725661363e+07 1.9872803090716388e+07 1.9760741718660057e+07 1.9630139678452153e+07 1.9478360983117398e+07 1.9302520299544480e+07 1.9099508595774654e+07 1.8866038617235765e+07 1.8598718194442485e+07 1.8294159884097278e+07 1.7949129635941077e+07 1.7560745235683866e+07 1.7126722184333123e+07 1.6645667177268660e+07 1.6117400175756119e+07 1.5498766360622732e+07 1.4831316101083472e+07 1.4121898763280038e+07 1.3380204922748554e+07 1.2618523355953814e+07 1.1851120990586640e+07 1.1093258881085090e+07 1.0359947130766772e+07 9.6646378197035436e+06 9.0180327682826016e+06 8.4273193798654396e+06 7.8960731328611709e+06 7.4245808275747942e+06 7.0100745396962566e+06 6.6479132488363814e+06 6.3326076110290410e+06 6.0583456043760683e+06 5.8196519645083863e+06 5.6115674436798515e+06 5.4299835223531639e+06 5.2712837659630161e+06 5.1326621749219038e+06 5.0115868992740754e+06 4.9062270189193841e+06 4.8148075619893530e+06 4.7358552236731779e+06 4.6682238033989863e+06 4.6107261780596990e+06 4.5622164035446616e+06 4.5218490260661440e+06 4.4885898104233127e+06 4.4616627147410884e+06 4.4401875183667727e+06 4.4233929614443611e+06 4.4102436021852093e+06 4.3997373272232795e+06 4.3911100491768252e+06 4.3836457787766615e+06 4.3766558072452024e+06 4.3717268433045577e+06 4.3667555278706532e+06 4.3616854330484839e+06 4.3563758994696150e+06 4.3508988313272847e+06 4.3450984925869787e+06 4.3391605774166854e+06 4.3325690010889545e+06 4.3255145496275583e+06 4.3178673991503408e+06 4.3095261727447184e+06 4.3003676812202390e+06 4.2902531488907309e+06 4.2789850882448480e+06 4.2665785587724159e+06 4.2525758823864833e+06 4.2368763521044999e+06 4.2192521613337444e+06 4.1994581553665074e+06 4.1772415166935106e+06 4.1523486608263701e+06 4.1245009618653487e+06 4.0937289313408369e+06 4.0595044072415102e+06 4.0219406071726526e+06 3.9811244345440976e+06 3.9373760426032408e+06 3.8912401477243416e+06 3.8437535536821173e+06 3.7964607668440226e+06 3.7518820783370463e+06 3.7132036135747656e+06 3.6853974333537207e+06 3.6753966493535298e+06 3.6932720420315373e+06 3.7536837324291612e+06 3.8788470843726019e+06 4.1039307210935643e+06 4.4881815650304602e+06 5.7630886910192890e+05 +1.4090796932311457e+01 2.0404482726023659e+07 2.0402383627172809e+07 2.0398800661278836e+07 2.0393914620989893e+07 2.0388602510556664e+07 2.0384363306436803e+07 2.0381921888522182e+07 2.0380101774479199e+07 2.0377604510292556e+07 2.0374019872195590e+07 2.0369320127942502e+07 2.0363347468435217e+07 2.0355861525461424e+07 2.0346601639526349e+07 2.0335283519142456e+07 2.0321567514342137e+07 2.0305045542511653e+07 2.0285238585478511e+07 2.0261586763018500e+07 2.0233433943906035e+07 2.0200015464244444e+07 2.0160427952904556e+07 2.0113450853416059e+07 2.0056989453118477e+07 1.9988651661038727e+07 1.9907248138268776e+07 1.9811608816360939e+07 1.9699822006854050e+07 1.9569540878742658e+07 1.9418136362665132e+07 1.9242730824103195e+07 1.9040223698143762e+07 1.8807336913549807e+07 1.8540688087719180e+07 1.8236899969947640e+07 1.7892748814009782e+07 1.7505362390320081e+07 1.7072465289484426e+07 1.6592671655063368e+07 1.6065806362692095e+07 1.5448836517799834e+07 1.4783209396678265e+07 1.4075762418910608e+07 1.3336165592418965e+07 1.2576678233744303e+07 1.1811529719537448e+07 1.1055937521795806e+07 1.0324865380763642e+07 9.6317202444358375e+06 8.9871643248339407e+06 8.3983543864932582e+06 7.8688457531530764e+06 7.3989157318760129e+06 6.9857978943044916e+06 6.6248603340704199e+06 6.3106272203966891e+06 6.0373026430522781e+06 5.7994275521075921e+06 5.5920581135006081e+06 5.4110989539083829e+06 5.2529455533883674e+06 5.1148012826471860e+06 4.9941428974360041e+06 4.8891457211004235e+06 4.7980409026012206e+06 4.7193602329240795e+06 4.6519614707504772e+06 4.5946616204206031e+06 4.5463187140892381e+06 4.5060902197274156e+06 4.4729454951111814e+06 4.4461111590773975e+06 4.4247100241034701e+06 4.4079734671385735e+06 4.3948695997799430e+06 4.3843997565285573e+06 4.3758024535945114e+06 4.3683641547037773e+06 4.3613985318522770e+06 4.3564867464312371e+06 4.3515327599956049e+06 4.3464803397262329e+06 4.3411893158499878e+06 4.3357313415862611e+06 4.3299512262094086e+06 4.3240340040348358e+06 4.3174654068625281e+06 4.3104355481459266e+06 4.3028150565826632e+06 4.2945029086629413e+06 4.2853763446392659e+06 4.2752970725994036e+06 4.2640682959699463e+06 4.2517050094478093e+06 4.2377511476011267e+06 4.2221063471632041e+06 4.2045435956946667e+06 4.1848185931112440e+06 4.1626794032380157e+06 4.1378733256041612e+06 4.1101227080051713e+06 4.0794579437927729e+06 4.0453527286882331e+06 4.0079198785391529e+06 3.9672459938096604e+06 3.9236501116776834e+06 3.8776750496149403e+06 3.8303539970366824e+06 3.7832260782639063e+06 3.7388027876823265e+06 3.7002591588530457e+06 3.6725499131407775e+06 3.6625839950996847e+06 3.6803970736033157e+06 3.7405981646341868e+06 3.8653251890183417e+06 4.0896241732950634e+06 4.4725354866128908e+06 5.7405969455274660e+05 +1.4095765255085716e+01 2.0342019090059448e+07 2.0339926371889636e+07 2.0336354188217416e+07 2.0331482702611573e+07 2.0326186108701698e+07 2.0321958654997144e+07 2.0319523013703637e+07 2.0317706352188665e+07 2.0315214164977770e+07 2.0311637377537213e+07 2.0306948226324458e+07 2.0300989269273795e+07 2.0293520740621638e+07 2.0284282618845228e+07 2.0272991301124129e+07 2.0259307966144085e+07 2.0242825527136426e+07 2.0223066130924586e+07 2.0199471259849738e+07 2.0171386385528397e+07 2.0138048717095710e+07 2.0098557107191596e+07 2.0051694034681816e+07 1.9995369998586077e+07 1.9927198737423413e+07 1.9845993856611550e+07 1.9750588387483224e+07 1.9639075598989535e+07 1.9509114747048598e+07 1.9358083664809681e+07 1.9183112399179157e+07 1.8981108832755655e+07 1.8748804055785026e+07 1.8482825448414676e+07 1.8179805926001508e+07 1.7836532017850287e+07 1.7450141449148431e+07 1.7018367869682673e+07 1.6539832841628099e+07 1.6014366128246618e+07 1.5399056460502723e+07 1.4735248224655438e+07 1.4029766894737937e+07 1.3292261933579389e+07 1.2534963246067759e+07 1.1772062733693013e+07 1.1018734388043495e+07 1.0289895708740441e+07 9.5989086447238307e+06 8.9563959301642589e+06 8.3694838058189796e+06 7.8417075316475825e+06 7.3733349827757487e+06 6.9616012526216907e+06 6.6018835468268609e+06 6.2887195264706360e+06 6.0163293575990899e+06 5.7792701639393512e+06 5.5726134827758931e+06 5.3922770491280258e+06 5.2346682217005203e+06 5.0969997126012966e+06 4.9767568560014786e+06 4.8721211987887258e+06 4.7813299908947581e+06 4.7029201024618940e+06 4.6357532385285422e+06 4.5786505172614492e+06 4.5304739339931011e+06 4.4903838688827129e+06 4.4573532608105950e+06 4.4306113806933658e+06 4.4092840642172936e+06 4.3926053166072210e+06 4.3795467912668604e+06 4.3691132593036275e+06 4.3605458321268065e+06 4.3531334184912425e+06 4.3461920633255355e+06 4.3412973992392058e+06 4.3363606840972919e+06 4.3313258795252033e+06 4.3260533037127675e+06 4.3206143597443094e+06 4.3148544003729997e+06 4.3089578023173101e+06 4.3024121077723745e+06 4.2954067599086771e+06 4.2878128384837890e+06 4.2795296722140433e+06 4.2704349293691218e+06 4.2603908002042631e+06 4.2492011767544840e+06 4.2368809892173167e+06 4.2229757793534771e+06 4.2073855265126023e+06 4.1898840097512011e+06 4.1702277807659423e+06 4.1481657817862080e+06 4.1234461934101516e+06 4.0957923338779327e+06 4.0652344788113735e+06 4.0312481754014050e+06 3.9939458391067297e+06 3.9534137684510783e+06 3.9099698882694757e+06 3.8641551234448887e+06 3.8169990610728557e+06 3.7700354613419529e+06 3.7257670512373224e+06 3.6873578093324206e+06 3.6597451753333062e+06 3.6498140071347686e+06 3.6675649789672280e+06 3.7275561719343192e+06 3.8518483217390049e+06 4.0753652664593244e+06 4.4569415098524960e+06 5.7181908465276589e+05 +1.4100733577859975e+01 2.0279731701771341e+07 2.0277645327262275e+07 2.0274083898901228e+07 2.0269226930621106e+07 2.0263945809754148e+07 2.0259730076789118e+07 2.0257300201654997e+07 2.0255486989847183e+07 2.0252999873893540e+07 2.0249430925400812e+07 2.0244752350000486e+07 2.0238807072045833e+07 2.0231355926990326e+07 2.0222139529983822e+07 2.0210874965555981e+07 2.0197224239430688e+07 2.0180781258693807e+07 2.0161069332927506e+07 2.0137531304361358e+07 2.0109514244331073e+07 2.0076257231322121e+07 2.0036861337302804e+07 1.9990112070314996e+07 1.9933925130492624e+07 1.9865920074502010e+07 1.9784913446340680e+07 1.9689741370196059e+07 1.9578502061743550e+07 1.9448860850730166e+07 1.9298202457714755e+07 1.9123664593823582e+07 1.8922163569751635e+07 1.8690439615481570e+07 1.8425129849665582e+07 1.8122877327284023e+07 1.7780478824774917e+07 1.7395081992219429e+07 1.6964429508233398e+07 1.6487150324130718e+07 1.5963079064176165e+07 1.5349425786344372e+07 1.4687432189527718e+07 1.3983911803382294e+07 1.3248493568248475e+07 1.2493378025605591e+07 1.1732719677611398e+07 1.0981649137409750e+07 1.0255037786121814e+07 9.5662027064234298e+06 8.9257272847834080e+06 8.3407073528432567e+06 7.8146581973087620e+06 7.3478383224098189e+06 6.9374843689895570e+06 6.5789826525437757e+06 6.2668843046785453e+06 5.9954255323664946e+06 5.7591795922338171e+06 5.5532333506981535e+06 5.3735176133321933e+06 5.2164515815980490e+06 5.0792572801960772e+06 4.9594285944945132e+06 4.8551532751011979e+06 4.7646746531015569e+06 4.6865346612087935e+06 4.6195989379540347e+06 4.5626927017619070e+06 4.5146818980886284e+06 4.4747298097394649e+06 4.4418129448751733e+06 4.4151632178651970e+06 4.3939094777243696e+06 4.3772883494410124e+06 4.3642750167044252e+06 4.3538776759808157e+06 4.3453400255133593e+06 4.3379534111415753e+06 4.3310362429206856e+06 4.3261586431639344e+06 4.3212391417976366e+06 4.3162218942515524e+06 4.3109677050551837e+06 4.3055477279942678e+06 4.2998078574830433e+06 4.2939318148846570e+06 4.2874089466838865e+06 4.2804280280305175e+06 4.2728605882427357e+06 4.2646063070952157e+06 4.2555432794411145e+06 4.2455341760944361e+06 4.2343835754079372e+06 4.2221063433309700e+06 4.2082496234074393e+06 4.1927137364789746e+06 4.1752732504673824e+06 4.1556855660160310e+06 4.1337005008284096e+06 4.1090671136389482e+06 4.0815096898884084e+06 4.0510583879154129e+06 4.0171906001417269e+06 3.9800183429925055e+06 3.9396276140726130e+06 3.8963352295678142e+06 3.8506802280795584e+06 3.8036886063799765e+06 3.7568887783797150e+06 3.7127747329190392e+06 3.6744994303321843e+06 3.6469830862611402e+06 3.6370865521516562e+06 3.6547756241732570e+06 3.7145576181833339e+06 3.8384163418486216e+06 4.0611538517371835e+06 4.4413994719632305e+06 5.6958700779101648e+05 +1.4105701900634234e+01 2.0217620202482447e+07 2.0215540059883755e+07 2.0211989362719867e+07 2.0207146869962141e+07 2.0201881177855417e+07 2.0197677136371873e+07 2.0195253016916696e+07 2.0193443251985390e+07 2.0190961201566223e+07 2.0187400080301780e+07 2.0182732063483085e+07 2.0176800441299669e+07 2.0169366649106473e+07 2.0160171937509093e+07 2.0148934077034328e+07 2.0135315898829751e+07 2.0118912301888529e+07 2.0099247756253183e+07 2.0075766461432621e+07 2.0047817085317563e+07 2.0014640572051909e+07 1.9975340208541427e+07 1.9928704525863852e+07 1.9872654414622575e+07 1.9804815238411415e+07 1.9724006473986488e+07 1.9629067331472524e+07 1.9518100962601610e+07 1.9388778757918183e+07 1.9238492310316626e+07 1.9064386977934860e+07 1.8863387480193034e+07 1.8632243164999977e+07 1.8367600865419343e+07 1.8066113749693349e+07 1.7724588812956691e+07 1.7340183600435086e+07 1.6910649789282769e+07 1.6434623690611204e+07 1.5911944763105126e+07 1.5299944093799196e+07 1.4639760896732112e+07 1.3938196758374324e+07 1.3204860119308440e+07 1.2451922205884930e+07 1.1693500196746798e+07 1.0944681428291513e+07 1.0220291285196871e+07 9.5336021162225213e+06 8.8951580899884943e+06 8.3120247432965767e+06 7.7876974798209993e+06 7.3224254936167449e+06 6.9134469984076051e+06 6.5561574173193388e+06 6.2451213310931381e+06 5.9745909522995502e+06 5.7391556298143091e+06 5.5339175170218255e+06 5.3548204523922829e+06 5.1982954443076896e+06 5.0615738013553051e+06 4.9421579329543328e+06 4.8382417736538611e+06 4.7480747159398161e+06 4.6702037385673821e+06 4.6034984007199788e+06 4.5467880075689880e+06 4.4989424416732378e+06 4.4591278789717704e+06 4.4263243851010520e+06 4.3997665093192086e+06 4.3785861040925644e+06 4.3620224056970514e+06 4.3490541165997945e+06 4.3386928474398917e+06 4.3301848749453090e+06 4.3228239741160646e+06 4.3159309123477517e+06 4.3110703200882766e+06 4.3061679751625378e+06 4.3011682261513453e+06 4.2959323623159593e+06 4.2905312889754921e+06 4.2848114403869342e+06 4.2789558847987466e+06 4.2724557668969482e+06 4.2654991960686604e+06 4.2579581496956367e+06 4.2497326574398968e+06 4.2407012393169068e+06 4.2307270451073395e+06 4.2196153371704603e+06 4.2073809174849186e+06 4.1935725259589055e+06 4.1780908238211446e+06 4.1607111652442454e+06 4.1411917969776718e+06 4.1192834092848906e+06 4.0947359361146558e+06 4.0672746268675546e+06 4.0369295230483646e+06 4.0031798560857046e+06 3.9661372447411902e+06 3.9258873866926390e+06 3.8827459931686250e+06 3.8372502227812391e+06 3.7904224939395646e+06 3.7437858920717640e+06 3.6998256970323753e+06 3.6616838875600351e+06 3.6342635126351137e+06 3.6244014972257921e+06 3.6420288756441530e+06 3.7016023676226330e+06 3.8250291090567564e+06 4.0469897807039847e+06 4.4259092106189039e+06 5.6736343246847601e+05 +1.4110670223408492e+01 2.0155683983675476e+07 2.0153610143422969e+07 2.0150070140952557e+07 2.0145242085412864e+07 2.0139991778022211e+07 2.0135799399134587e+07 2.0133381024868917e+07 2.0131574703979868e+07 2.0129097713332787e+07 2.0125544407575432e+07 2.0120886932104748e+07 2.0114968942377917e+07 2.0107552472339962e+07 2.0098379406813588e+07 2.0087168201003224e+07 2.0073582509827450e+07 2.0057218222237840e+07 2.0037600966519147e+07 2.0014176296774980e+07 1.9986294474325843e+07 1.9953198305278361e+07 1.9913993287049994e+07 1.9867470967626147e+07 1.9811557417585239e+07 1.9743883796084024e+07 1.9663272506852169e+07 1.9568565839095276e+07 1.9457871869930428e+07 1.9328868037641898e+07 1.9178952792413339e+07 1.9005279122237232e+07 1.8804780135914691e+07 1.8574214277535632e+07 1.8310238070491392e+07 1.8009514769929420e+07 1.7668861561394680e+07 1.7285445855543453e+07 1.6857028297861937e+07 1.6382252529976629e+07 1.5860962818549680e+07 1.5250610982221771e+07 1.4592233952540087e+07 1.3892621374110702e+07 1.3161361210531048e+07 1.2410595421338582e+07 1.1654403937374502e+07 1.0907830919967510e+07 1.0185655879050301e+07 9.5011065616144855e+06 8.8646880478597414e+06 8.2834356936972998e+06 7.7608251096092323e+06 7.2970962399437875e+06 6.8894888965634555e+06 6.5334076078927545e+06 6.2234303823904144e+06 5.9538254029378537e+06 5.7191980700643128e+06 5.5146657820721539e+06 5.3361853727081390e+06 5.1801996215955615e+06 5.0439490925306631e+06 4.9249446919257864e+06 4.8213865185587192e+06 4.7315300066218534e+06 4.6539271644183435e+06 4.5874514590027966e+06 4.5309362688054079e+06 4.4832554005094189e+06 4.4435779137135595e+06 4.4108874197632829e+06 4.3844210942443851e+06 4.3633137832479225e+06 4.3468073258782588e+06 4.3338839319204437e+06 4.3235586150157200e+06 4.3150802220630357e+06 4.3077449493214674e+06 4.3008759137674980e+06 4.2960322723543840e+06 4.2911470267014205e+06 4.2861647179236272e+06 4.2809471183900274e+06 4.2755648857752765e+06 4.2698649923799550e+06 4.2640298555685412e+06 4.2575524121598480e+06 4.2506201080214987e+06 4.2431053671205649e+06 4.2349085678258911e+06 4.2259086539088171e+06 4.2159692525109751e+06 4.2048963077151272e+06 4.1927045577991195e+06 4.1789443336364841e+06 4.1635166357466565e+06 4.1461976019194494e+06 4.1267463221970443e+06 4.1049143565047756e+06 4.0804525110758715e+06 4.0530869960661163e+06 4.0228477365685240e+06 3.9892157968314299e+06 3.9523023992996411e+06 3.9121929427265101e+06 3.8692020370749910e+06 3.8238649672146249e+06 3.7772005851246263e+06 3.7307266654986599e+06 3.6869198082679841e+06 3.6489110471010730e+06 3.6215863215420689e+06 3.6117587097994271e+06 3.6293246001802939e+06 3.6886902848759498e+06 3.8116864834763897e+06 4.0328729053477868e+06 4.4104705639533587e+06 5.6514832729769428e+05 +1.4115638546182751e+01 2.0093922729790635e+07 2.0091855085028015e+07 2.0088325795214873e+07 2.0083512141949922e+07 2.0078277176102262e+07 2.0074096431313269e+07 2.0071683791689478e+07 2.0069880911995783e+07 2.0067408975365013e+07 2.0063863473386843e+07 2.0059216522046220e+07 2.0053312141420752e+07 2.0045912962849796e+07 2.0036761504112482e+07 2.0025576903680094e+07 2.0012023638695572e+07 1.9995698586123854e+07 1.9976128530164465e+07 1.9952760376909658e+07 1.9924945977986041e+07 1.9891929997780949e+07 1.9852820139819857e+07 1.9806410962846730e+07 1.9750633706840698e+07 1.9683125315291163e+07 1.9602711113113437e+07 1.9508236461698920e+07 1.9397814352925945e+07 1.9269128259751357e+07 1.9119583474631213e+07 1.8946340598329924e+07 1.8746341109605249e+07 1.8516352527123861e+07 1.8253041040539850e+07 1.7953079965597901e+07 1.7613296649996750e+07 1.7230868340181556e+07 1.6803564619871899e+07 1.6330036431993894e+07 1.5810132824874304e+07 1.5201426051876236e+07 1.4544850964127034e+07 1.3847185265878344e+07 1.3117996466570148e+07 1.2369397307242516e+07 1.1615430546663545e+07 1.0871097272539979e+07 1.0151131241622489e+07 9.4687157308901977e+06 8.8343168612582665e+06 8.2549399213003106e+06 7.7340408178199846e+06 7.2718503056243844e+06 6.8656098198105684e+06 6.5107329916461259e+06 6.2018112358750673e+06 5.9331286704268837e+06 5.6993067069650209e+06 5.4954779467240991e+06 5.3176121812462388e+06 5.1621639257480782e+06 5.0263829706823863e+06 4.9077886924567828e+06 4.8045873344272031e+06 4.7150403528423496e+06 4.6377047691274676e+06 4.5714579454567442e+06 4.5151373200640315e+06 4.4676206108319350e+06 4.4280797515650392e+06 4.3955018875874197e+06 4.3691268122822782e+06 4.3480923555669943e+06 4.3316429509431804e+06 4.3187643040774055e+06 4.3084748204876622e+06 4.3000259089487763e+06 4.2927161791074118e+06 4.2858710897801770e+06 4.2810443427428277e+06 4.2761761393827060e+06 4.2712112127144486e+06 4.2660118166046571e+06 4.2606483619252546e+06 4.2549683572053844e+06 4.2491535711498866e+06 4.2426987266614679e+06 4.2357906083415477e+06 4.2283020852330327e+06 4.2201338832731713e+06 4.2111653685650071e+06 4.2012606440213351e+06 4.1902263331681448e+06 4.1780771108425208e+06 4.1643648935103072e+06 4.1489910198806818e+06 4.1317324087550817e+06 4.1123489906552564e+06 4.0905931922660759e+06 4.0662166892035995e+06 4.0389466491544270e+06 4.0088128812594553e+06 3.9752982763885995e+06 3.9385136620304189e+06 3.8985441390070734e+06 3.8557032196837533e+06 3.8105243214440416e+06 3.7640227417068672e+06 3.7177109621313266e+06 3.6740569316963851e+06 3.6361807754162373e+06 3.6089513804435204e+06 3.5991580577007229e+06 3.6166626649656808e+06 3.6758212349498011e+06 3.7983883256167597e+06 4.0188030780823394e+06 4.3950833705590367e+06 5.6294166100242396e+05 +1.4120606868957010e+01 2.0032335918074735e+07 2.0030274502672993e+07 2.0026755891974498e+07 2.0021956605078157e+07 2.0016736938894361e+07 2.0012567799905740e+07 2.0010160884403959e+07 2.0008361443046588e+07 2.0005894554650798e+07 2.0002356844732612e+07 1.9997720400284540e+07 1.9991829605459228e+07 1.9984447687664896e+07 1.9975317796418879e+07 1.9964159752133042e+07 1.9950638852561273e+07 1.9934352960687675e+07 1.9914830014437024e+07 1.9891518269192304e+07 1.9863771163779147e+07 1.9830835217178214e+07 1.9791820334620629e+07 1.9745524079510234e+07 1.9689882850652903e+07 1.9622539364633579e+07 1.9542321861745596e+07 1.9448078768722124e+07 1.9337927981565576e+07 1.9209558994922213e+07 1.9060383928438548e+07 1.8887570978612643e+07 1.8688069974843021e+07 1.8458657488692131e+07 1.8196009352079399e+07 1.7896808915128097e+07 1.7557893659485303e+07 1.7176450637827989e+07 1.6750258342055611e+07 1.6277974987321733e+07 1.5759454377345270e+07 1.5152388903862352e+07 1.4497611539543306e+07 1.3801888049819514e+07 1.3074765512927763e+07 1.2328327499764420e+07 1.1576579672621151e+07 1.0834480146984300e+07 1.0116717047662081e+07 9.4364293131610099e+06 8.8040442338340022e+06 8.2265371441236446e+06 7.7073443363195099e+06 7.2466874355989164e+06 6.8418095251666345e+06 6.4881333366002357e+06 6.1802636694667963e+06 5.9125005415050294e+06 5.6794813350615082e+06 5.4763538124166857e+06 5.2991006854931377e+06 5.1441881695837965e+06 5.0088752532887189e+06 4.8906897561083715e+06 4.7878440463636164e+06 4.6986055827857731e+06 4.6215363835393796e+06 4.5555176931968359e+06 4.4993909964018511e+06 4.4520379093307620e+06 4.4126332305759974e+06 4.3801676277511157e+06 4.3538835035299771e+06 4.3329216618837928e+06 4.3165291222959887e+06 4.3036950749336621e+06 4.2934413060894543e+06 4.2850217781442879e+06 4.2777375062802322e+06 4.2709162834414132e+06 4.2661063744772971e+06 4.2612551566094235e+06 4.2563075541066611e+06 4.2511263007421428e+06 4.2457815614028359e+06 4.2401213790445225e+06 4.2343268759387713e+06 4.2278945550341364e+06 4.2210105419078255e+06 4.2135481491985293e+06 4.2054084492402440e+06 4.1964712290717177e+06 4.1866010657876031e+06 4.1756052600794733e+06 4.1634984236112586e+06 4.1498340530787418e+06 4.1345138242949946e+06 4.1173154344473928e+06 4.0979996517574256e+06 4.0763197667688923e+06 4.0520283215867467e+06 4.0248534382295543e+06 3.9948248103150977e+06 3.9614271491820179e+06 3.9247708887040038e+06 3.8849408327722102e+06 3.8422493998047933e+06 3.7972281459241114e+06 3.7508888258492043e+06 3.7047386458276603e+06 3.6612369327780828e+06 3.6234929393486893e+06 3.5963585571833337e+06 3.5865994091264647e+06 3.6040429375563618e+06 3.6629950832361025e+06 3.7851344963749954e+06 4.0047801517452789e+06 4.3797474694939433e+06 5.6074340241724544e+05 +1.4125575191731269e+01 1.9970923173241775e+07 1.9968868012355659e+07 1.9965359996822219e+07 1.9960575041193344e+07 1.9955370634156872e+07 1.9951213072775960e+07 1.9948811870822147e+07 1.9947015864955127e+07 1.9944554019004837e+07 1.9941024089389078e+07 1.9936398134606633e+07 1.9930520902270880e+07 1.9923156214605443e+07 1.9914047851584937e+07 1.9902916314257856e+07 1.9889427719360199e+07 1.9873180913962577e+07 1.9853704987412345e+07 1.9830449541802209e+07 1.9802769599992063e+07 1.9769913531912085e+07 1.9730993440088704e+07 1.9684809886443377e+07 1.9629304418134090e+07 1.9562125513531342e+07 1.9482104322568949e+07 1.9388092330459427e+07 1.9278212326712646e+07 1.9150159814654913e+07 1.9001353726158336e+07 1.8828969836342569e+07 1.8629966305988375e+07 1.8401128737960666e+07 1.8139142582467165e+07 1.7840701197800308e+07 1.7502652171470758e+07 1.7122192332824644e+07 1.6697109052048221e+07 1.6226067787476592e+07 1.5708927072077788e+07 1.5103499140166249e+07 1.4450515287701141e+07 1.3756729342987800e+07 1.3031667976009803e+07 1.2287385635921057e+07 1.1537850964123702e+07 1.0797979205089495e+07 1.0082412972759943e+07 9.4042469983301647e+06 8.7738698700061347e+06 8.1982270809282204e+06 7.6807353977047056e+06 7.2216073755060509e+06 6.8180877703234283e+06 6.4656084114327859e+06 6.1587874617037065e+06 5.8919408035105718e+06 5.6597217494730111e+06 5.4572931811470967e+06 5.2806506934949132e+06 5.1262721664460627e+06 4.9914257583453851e+06 4.8736477049354753e+06 4.7711564799644789e+06 4.6822255251261406e+06 4.6054218389778323e+06 4.5396305358215757e+06 4.4836971333450880e+06 4.4365071331696371e+06 4.3972381892696721e+06 4.3648844798995731e+06 4.3386910085414769e+06 4.3178015434749164e+06 4.3014656818000004e+06 4.2886760868062964e+06 4.2784579145035194e+06 4.2700676726332000e+06 4.2628087740864726e+06 4.2560113382471018e+06 4.2512182112388955e+06 4.2463839222355019e+06 4.2414535861369045e+06 4.2362904150271732e+06 4.2309643286224902e+06 4.2253239025279749e+06 4.2195496147738397e+06 4.2131397423527958e+06 4.2062797540471330e+06 4.1988434046123344e+06 4.1907321116298637e+06 4.1818260816544727e+06 4.1719903643971351e+06 4.1610329354401561e+06 4.1489683435408371e+06 4.1353516602796051e+06 4.1200848974737162e+06 4.1029465281272382e+06 4.0836981553380615e+06 4.0620939306430900e+06 4.0378872597495485e+06 4.0108072158061881e+06 3.9808833773518940e+06 3.9476022700479142e+06 3.9110739355015983e+06 3.8713828816577229e+06 3.8288404366409848e+06 3.7839763015115326e+06 3.7377987001036922e+06 3.6918095808324120e+06 3.6484596773472852e+06 3.6108474061209094e+06 3.5838077199773593e+06 3.5740826326515623e+06 3.5914652858899166e+06 3.6502116955111902e+06 3.7719248570588036e+06 3.9908039795805016e+06 4.3644627002624227e+06 5.5855352048719791e+05 +1.4130543514505527e+01 1.9909684063002396e+07 1.9907635128360610e+07 1.9904137675037891e+07 1.9899367017846748e+07 1.9894177830530651e+07 1.9890031818561397e+07 1.9887636319621116e+07 1.9885843746365175e+07 1.9883386937035333e+07 1.9879864775999870e+07 1.9875249293655664e+07 1.9869385600515038e+07 1.9862038112306260e+07 1.9852951238301605e+07 1.9841846158766422e+07 1.9828389807840373e+07 1.9812182014738109e+07 1.9792753017990135e+07 1.9769553763738535e+07 1.9741940855759975e+07 1.9709164511251930e+07 1.9670339025664594e+07 1.9624267953323975e+07 1.9568897979188517e+07 1.9501883332235437e+07 1.9422058066247236e+07 1.9328276718036253e+07 1.9218666960046224e+07 1.9090930291282963e+07 1.8942492440913174e+07 1.8770536745602421e+07 1.8572029678293210e+07 1.8343765851516638e+07 1.8082440309879977e+07 1.7784756393751401e+07 1.7447571768386118e+07 1.7068093010394275e+07 1.6644116338334100e+07 1.6174314424843406e+07 1.5658550506080708e+07 1.5054756363662286e+07 1.4403561818419505e+07 1.3711708763269406e+07 1.2988703483079137e+07 1.2246571353595451e+07 1.1499244070904735e+07 1.0761594109509273e+07 1.0048218693316497e+07 9.3721684771146663e+06 8.7437934749824964e+06 8.1700094512326634e+06 7.6542137352992212e+06 7.1966098716688147e+06 6.7944443136467710e+06 6.4431579854493551e+06 6.1373823917443873e+06 5.8714492443648884e+06 5.6400277459015036e+06 5.4382958554648720e+06 5.2622620138226934e+06 5.1084157302120617e+06 4.9740343043567352e+06 4.8566623615011210e+06 4.7545244613247486e+06 4.6659000090167904e+06 4.5893609672427839e+06 4.5237963073960757e+06 4.4680555668852646e+06 4.4210281199602643e+06 4.3818944666179502e+06 4.3496522841246687e+06 4.3235491683186693e+06 4.3027318420775598e+06 4.2864524717612276e+06 4.2737071824560864e+06 4.2635244888543691e+06 4.2551634358448228e+06 4.2479298262250172e+06 4.2411560981411170e+06 4.2363796971404189e+06 4.2315622805573614e+06 4.2266491532806214e+06 4.2215040041223578e+06 4.2161965084461281e+06 4.2105757727161990e+06 4.2048216329307975e+06 4.1984341341350824e+06 4.1915980905284653e+06 4.1841876975146229e+06 4.1761047167717866e+06 4.1672297729732580e+06 4.1574283868717207e+06 4.1465092066749441e+06 4.1344867184974081e+06 4.1209175634779953e+06 4.1057040883522085e+06 4.0886255393420607e+06 4.0694443516568909e+06 4.0479155349409445e+06 4.0237933556267885e+06 3.9968078348156884e+06 3.9669884363998193e+06 3.9338234942385252e+06 3.8974226590148942e+06 3.8578701437111530e+06 3.8154761897969283e+06 3.7707686494586798e+06 3.7247522274144213e+06 3.6789236317745750e+06 3.6357250316253826e+06 3.5982440433322792e+06 3.5712987374140723e+06 3.5616075972212926e+06 3.5789295782730188e+06 3.6374709379312792e+06 3.7587592693507145e+06 3.9768744152576108e+06 4.3492289028318617e+06 5.5637198426740954e+05 +1.4135511837279786e+01 1.9848618160511091e+07 1.9846575413786374e+07 1.9843088497563440e+07 1.9838332103847783e+07 1.9833158097563405e+07 1.9829023606727757e+07 1.9826633800250039e+07 1.9824844656735595e+07 1.9822392878189266e+07 1.9818878473998167e+07 1.9814273446866699e+07 1.9808423269617114e+07 1.9801092950245902e+07 1.9792027526046924e+07 1.9780948855178408e+07 1.9767524687586948e+07 1.9751355832675606e+07 1.9731973675885014e+07 1.9708830504806995e+07 1.9681284500996787e+07 1.9648587725266688e+07 1.9609856661615580e+07 1.9563897850621626e+07 1.9508663104575932e+07 1.9441812391822092e+07 1.9362182664232790e+07 1.9268631503383245e+07 1.9159291454062812e+07 1.9031869997987013e+07 1.8883799646675095e+07 1.8712271281347781e+07 1.8514259667807624e+07 1.8286568406784710e+07 1.8025902113403887e+07 1.7728974083980743e+07 1.7392652033533398e+07 1.7014152256577965e+07 1.6591279790246069e+07 1.6122714492663097e+07 1.5608324277203076e+07 1.5006160178085309e+07 1.4356750742347682e+07 1.3666825929459587e+07 1.2945871662271850e+07 1.2205884291561734e+07 1.1460758643539216e+07 1.0725324523729784e+07 1.0014133886564706e+07 9.3401934410232585e+06 8.7138147547477484e+06 8.1418839753138786e+06 7.6277790831530029e+06 7.1716946711116061e+06 6.7708789141545231e+06 6.4207818285998851e+06 6.1160482393557709e+06 5.8510256525961533e+06 5.6203991206120020e+06 5.4193616384740751e+06 5.2439344555990612e+06 5.0906186752691586e+06 4.9567007103424389e+06 4.8397335488707572e+06 4.7379478170301523e+06 4.6496288640953572e+06 4.5733536006130502e+06 4.5080148424571445e+06 4.4524661334825400e+06 4.4056007077856148e+06 4.3666019020513343e+06 4.3344708809716320e+06 4.3084578243184639e+06 4.2877123998790104e+06 4.2714893349344786e+06 4.2587882050899705e+06 4.2486408727169838e+06 4.2403089116557064e+06 4.2331005068277186e+06 4.2263504075097442e+06 4.2215906767453207e+06 4.2167900763053065e+06 4.2118941004570797e+06 4.2067669131358080e+06 4.2014779461792093e+06 4.1958768351197960e+06 4.1901427761316076e+06 4.1837775763285519e+06 4.1769653975523934e+06 4.1695808743851031e+06 4.1615261114390125e+06 4.1526821501338426e+06 4.1429149806715855e+06 4.1320339216456264e+06 4.1200533967813724e+06 4.1065316114717419e+06 4.0913712462811940e+06 4.0743523180791009e+06 4.0552380913987365e+06 4.0337844311392955e+06 4.0097464615833797e+06 3.9828551486120597e+06 3.9531398419030802e+06 3.9200906774164285e+06 3.8838169162404058e+06 3.8444024773823880e+06 3.8021565192753281e+06 3.7576050514074010e+06 3.7117492711138655e+06 3.6660806636681198e+06 3.6230328622112600e+06 3.5856827189548835e+06 3.5588314784551715e+06 3.5491741721557919e+06 3.5664356833894704e+06 3.6247726770261941e+06 3.7456375953453169e+06 3.9629913128571664e+06 4.3340459176180689e+06 5.5419876292272925e+05 +1.4140480160054045e+01 1.9787725002510220e+07 1.9785688463696081e+07 1.9782212042812582e+07 1.9777469869458798e+07 1.9772311005625576e+07 1.9768188007571373e+07 1.9765803883011978e+07 1.9764018166341625e+07 1.9761571412760969e+07 1.9758064753643747e+07 1.9753470164502185e+07 1.9747633479854699e+07 1.9740320298715476e+07 1.9731276285129432e+07 1.9720223973838951e+07 1.9706831928993873e+07 1.9690701938209560e+07 1.9671366531644106e+07 1.9648279335662790e+07 1.9620800106490906e+07 1.9588182744901922e+07 1.9549545919021845e+07 1.9503699149646997e+07 1.9448599365886569e+07 1.9381912264207896e+07 1.9302477688819066e+07 1.9209156259273756e+07 1.9100085382087305e+07 1.8972978508792926e+07 1.8825274918264516e+07 1.8654173019310951e+07 1.8456655851441156e+07 1.8229535982036173e+07 1.7969527572927050e+07 1.7673353850326229e+07 1.7337892551076259e+07 1.6960369658306304e+07 1.6538598998012414e+07 1.6071267585051928e+07 1.5558247984182807e+07 1.4957710188035022e+07 1.4310081671058880e+07 1.3622080461222805e+07 1.2903172142592506e+07 1.2165324089426499e+07 1.1422394333484136e+07 1.0689170112073587e+07 9.9801582305671163e+06 9.3083215823726449e+06 8.6839334160445333e+06 8.1138503741759947e+06 7.6014311760131950e+06 7.1468615215469282e+06 6.7473913315330762e+06 6.3984797114721239e+06 6.0947847849249868e+06 5.8306698173109759e+06 5.6008356704459982e+06 5.4004903338323506e+06 5.2256678284732848e+06 5.0728808165415302e+06 4.9394247958334843e+06 4.8228610906073553e+06 4.7214263741503730e+06 4.6334119204863682e+06 4.5573995718394993e+06 4.4922859760129321e+06 4.4369286700588623e+06 4.3902247351889880e+06 4.3513603354593338e+06 4.3193401114484370e+06 4.2934168184464211e+06 4.2727430595051534e+06 4.2565761145222075e+06 4.2439189983598655e+06 4.2338069101060359e+06 4.2255039443828231e+06 4.2183206604815759e+06 4.2115941111791208e+06 4.2068509950534971e+06 4.2020671546651917e+06 4.1971882730229860e+06 4.1920789876146731e+06 4.1868084875606885e+06 4.1812269356901520e+06 4.1755128905312084e+06 4.1691699153266223e+06 4.1623815217617708e+06 4.1550227821281343e+06 4.1469961428425577e+06 4.1381830606630538e+06 4.1284499936862634e+06 4.1176069286380745e+06 4.1056682271219082e+06 4.0921936534841503e+06 4.0770862210492822e+06 4.0601267147446615e+06 4.0410792256740513e+06 4.0197004711362780e+06 3.9957464303949019e+06 3.9689490109589580e+06 3.9393374487193394e+06 3.9064036756521217e+06 3.8702565645829765e+06 3.8309797415226400e+06 3.7888812854853077e+06 3.7444853693976845e+06 3.6987896949228868e+06 3.6532805419137650e+06 3.6103830360835842e+06 3.5731633013404193e+06 3.5464058124400498e+06 3.5367822271468290e+06 3.5539834702953524e+06 3.6121167797164619e+06 3.7325596975117479e+06 3.9491545268774480e+06 4.3189135854996778e+06 5.5203382572735869e+05 +1.4145448482828304e+01 1.9727004220521245e+07 1.9724973829730920e+07 1.9721507891422022e+07 1.9716779886397082e+07 1.9711636125895757e+07 1.9707524592175048e+07 1.9705146138992265e+07 1.9703363846291408e+07 1.9700922111790836e+07 1.9697423186017632e+07 1.9692839017640196e+07 1.9687015802325070e+07 1.9679719728803936e+07 1.9670697086691134e+07 1.9659671085931741e+07 1.9646311103263494e+07 1.9630219902639914e+07 1.9610931156636931e+07 1.9587899827748172e+07 1.9560487243806444e+07 1.9527949141863439e+07 1.9489406369791124e+07 1.9443671422527179e+07 1.9388706335487176e+07 1.9322182522109859e+07 1.9242942713150926e+07 1.9149850559290335e+07 1.9041048318304677e+07 1.8914255398521516e+07 1.8766917831307720e+07 1.8596241536107894e+07 1.8399217806941353e+07 1.8172668156388041e+07 1.7913316269178875e+07 1.7617895275470782e+07 1.7283292906012360e+07 1.6906744803344604e+07 1.6486073552700445e+07 1.6019973297001084e+07 1.5508321226639578e+07 1.4909405999004329e+07 1.4263554216963088e+07 1.3577471979080005e+07 1.2860604553930720e+07 1.2124890387680918e+07 1.1384150793020023e+07 1.0653130539705886e+07 9.9462914041895848e+06 9.2765525942760464e+06 8.6541491664155591e+06 8.0859083695900841e+06 7.5751697493659630e+06 7.1221101713736188e+06 6.7239813261300521e+06 6.3762514052832108e+06 6.0735918094450189e+06 5.8103815282110181e+06 5.5813371928211795e+06 5.3816817457516519e+06 5.2074619426367655e+06 5.0552019694673670e+06 4.9222063808703497e+06 4.8060448107696772e+06 4.7049599602531744e+06 4.6172490087923445e+06 4.5414987141512129e+06 4.4766095435336884e+06 4.4214430139963198e+06 4.3749000411654934e+06 4.3361696071855007e+06 4.3042598170047821e+06 4.2784259930593092e+06 4.2578236640387783e+06 4.2417126541796699e+06 4.2290994063655259e+06 4.2190224454857819e+06 4.2107483787883949e+06 4.2035901322070668e+06 4.1968870544201639e+06 4.1921604975152183e+06 4.1873933612517561e+06 4.1825315167802549e+06 4.1774400735436613e+06 4.1721879787678123e+06 4.1666259208070925e+06 4.1609318227273375e+06 4.1546109979592660e+06 4.1478463102343194e+06 4.1405132680978118e+06 4.1325146586234318e+06 4.1237323525291914e+06 4.1140332742401436e+06 4.1032280763759161e+06 4.0913310586797241e+06 4.0779035391772585e+06 4.0628488628609413e+06 4.0459485801724880e+06 4.0269676060186280e+06 4.0056635072508124e+06 3.9817931152686379e+06 3.9550892760466137e+06 3.9255811121230209e+06 3.8927623454296887e+06 3.8567414618518050e+06 3.8176017953832224e+06 3.7756503492208347e+06 3.7314094658603417e+06 3.6858733629518985e+06 3.6405231322924481e+06 3.5977754206012678e+06 3.5606856592145930e+06 3.5340216090761037e+06 3.5244316322538638e+06 3.5415728084231028e+06 3.5995031132940147e+06 3.7195254387221783e+06 3.9353639122298351e+06 4.3038317477987157e+06 5.4987714206448710e+05 +1.4150416805602562e+01 1.9666455395025954e+07 1.9664431077881481e+07 1.9660975614977352e+07 1.9656261727685247e+07 1.9651133030290786e+07 1.9647032932452086e+07 1.9644660140119296e+07 1.9642881268483732e+07 1.9640444547207914e+07 1.9636953343025003e+07 1.9632379578186799e+07 1.9626569808922581e+07 1.9619290812451120e+07 1.9610289502670880e+07 1.9599289763423391e+07 1.9585961782469470e+07 1.9569909298070062e+07 1.9550667123024579e+07 1.9527691553376094e+07 1.9500345485355094e+07 1.9467886488714740e+07 1.9429437586688627e+07 1.9383814242214352e+07 1.9328983586630192e+07 1.9262622739086993e+07 1.9183577311151307e+07 1.9090713977884829e+07 1.8982179837688997e+07 1.8855700242844019e+07 1.8708727962311357e+07 1.8538476409177478e+07 1.8341945112890251e+07 1.8115964509790286e+07 1.7857267783744387e+07 1.7562597942935795e+07 1.7228852684223592e+07 1.6853277280347534e+07 1.6433703046231786e+07 1.5968831224344781e+07 1.5458543605022233e+07 1.4861247217342408e+07 1.4217167993344974e+07 1.3533000104421601e+07 1.2818168527007284e+07 1.2084582827658208e+07 1.1346027675296554e+07 1.0617205472630519e+07 9.9125330871273894e+06 9.2448861706423461e+06 8.6244617141429987e+06 8.0580576840654984e+06 7.5489945394084388e+06 7.0974403696908252e+06 6.7006486589635545e+06 6.3540966818961827e+06 6.0524690945174629e+06 5.7901605755873350e+06 5.5619034857030157e+06 5.3629356789910579e+06 5.1893166088161487e+06 5.0375819500122275e+06 4.9050452859999649e+06 4.7892845339205200e+06 4.6885484033912960e+06 4.6011399600958899e+06 4.5256508612473998e+06 4.4609853809628561e+06 4.4060090031463495e+06 4.3596264651730508e+06 4.3210295580245629e+06 4.2892298395421961e+06 4.2634851909602741e+06 4.2429540570071228e+06 4.2268987979933890e+06 4.2143292736464189e+06 4.2042873237576401e+06 4.1960420600782717e+06 4.1889087674648301e+06 4.1822290829436020e+06 4.1775190300085824e+06 4.1727685421318607e+06 4.1679236779615860e+06 4.1628500173505675e+06 4.1576162664199932e+06 4.1520736372967837e+06 4.1463994197502681e+06 4.1401006714875326e+06 4.1333596104795444e+06 4.1260521800734908e+06 4.1180815068574543e+06 4.1093298741302243e+06 4.0996646710907207e+06 4.0888972140159989e+06 4.0770417410445204e+06 4.0636611186328493e+06 4.0486590223597367e+06 4.0318177656243686e+06 4.0129030843886775e+06 3.9916733922223602e+06 3.9678863698157026e+06 3.9412757984676673e+06 3.9118706877967641e+06 3.8791665436389567e+06 3.8432714662610563e+06 3.8042684986198540e+06 3.7624635716758799e+06 3.7183772036164287e+06 3.6730001397001566e+06 3.6278083009689981e+06 3.5852098834974663e+06 3.5482496616740790e+06 3.5216787384387022e+06 3.5121222579072621e+06 3.5292035675746556e+06 3.5869315454300856e+06 3.7065346822401681e+06 3.9216193242384549e+06 4.2888002462966600e+06 5.4772868142592651e+05 +1.4155385128376821e+01 1.9606077954067275e+07 1.9604059788888473e+07 1.9600614775922135e+07 1.9595914967271734e+07 1.9590801291522436e+07 1.9586712601111449e+07 1.9584345459162585e+07 1.9582570005672324e+07 1.9580138291718926e+07 1.9576654797352806e+07 1.9572091418847907e+07 1.9566295072388474e+07 1.9559033122390918e+07 1.9550053105849974e+07 1.9539079579131808e+07 1.9525783539427515e+07 1.9509769697412621e+07 1.9490574003825784e+07 1.9467654085596692e+07 1.9440374404366679e+07 1.9407994358825579e+07 1.9369639143226437e+07 1.9324127182493836e+07 1.9269430693339340e+07 1.9203232489502545e+07 1.9124381057629373e+07 1.9031746090296902e+07 1.8923479516062997e+07 1.8797312618247271e+07 1.8650704888540216e+07 1.8480877216791943e+07 1.8284837348715279e+07 1.8059424623027761e+07 1.7801381699073289e+07 1.7507461437138744e+07 1.7174571472401768e+07 1.6799966678774979e+07 1.6381487071403563e+07 1.5917840963789433e+07 1.5408914720679862e+07 1.4813233450264998e+07 1.4170922614378536e+07 1.3488664459528483e+07 1.2775863693453085e+07 1.2044401051566919e+07 1.1308024634297755e+07 1.0581394577700106e+07 9.8788829598927852e+06 9.2133220061736777e+06 8.5948707683176342e+06 8.0302980408431087e+06 7.5229052830504933e+06 7.0728518662711382e+06 6.6773930916959243e+06 6.3320153137965966e+06 6.0314164223618414e+06 5.7700067503222842e+06 5.5425343476474294e+06 5.3442519388647256e+06 5.1712316382635282e+06 5.0200205746536870e+06 4.8879413322768603e+06 4.7725800851172246e+06 4.6721915321030477e+06 4.5850846059595207e+06 4.5098558472998720e+06 4.4454133247118089e+06 4.3906264758141711e+06 4.3444038471207544e+06 4.3059400292266775e+06 4.2742500214225901e+06 4.2485942554058982e+06 4.2281340823792638e+06 4.2121343905037697e+06 4.1996084451923193e+06 4.1896013902699463e+06 4.1813848338927622e+06 4.1742764121662891e+06 4.1676200428991648e+06 4.1629264388565482e+06 4.1581925437931595e+06 4.1533646032470828e+06 4.1483086658951165e+06 4.1430931975748250e+06 4.1375699324174146e+06 4.1319155290681277e+06 4.1256387836092999e+06 4.1189212704488831e+06 4.1116393662717533e+06 4.1036965360575523e+06 4.0949754742992306e+06 4.0853440334229856e+06 4.0746141911381637e+06 4.0628001242394666e+06 4.0494662423604704e+06 4.0345165506047709e+06 4.0177341227820194e+06 3.9988855131600983e+06 3.9777299792094775e+06 3.9540260480717635e+06 3.9275084332411974e+06 3.8982060318357507e+06 3.8656161275751158e+06 3.8298464364271010e+06 3.7909797112821704e+06 3.7493208144467669e+06 3.7053884458772903e+06 3.6601698900431246e+06 3.6151359144828767e+06 3.5726862928838083e+06 3.5358551781921145e+06 3.5093770709791244e+06 3.4998539749107165e+06 3.5168756179164429e+06 3.5744019441744452e+06 3.6935872917033937e+06 3.9079206186401835e+06 4.2738189232214401e+06 5.4558841341174557e+05 +1.4160353451151080e+01 1.9545871592661034e+07 1.9543859546571795e+07 1.9540424939166248e+07 1.9535739179507621e+07 1.9530640483023044e+07 1.9526563171732590e+07 1.9524201669642258e+07 1.9522429631394073e+07 1.9520002918863997e+07 1.9516527122573599e+07 1.9511974113172498e+07 1.9506191166242588e+07 1.9498946232171949e+07 1.9489987469815690e+07 1.9479040106677059e+07 1.9465775947832275e+07 1.9449800674411628e+07 1.9430651372839458e+07 1.9407786998373389e+07 1.9380573574876383e+07 1.9348272326384556e+07 1.9310010613812931e+07 1.9264609817946061e+07 1.9210047230502825e+07 1.9144011348563395e+07 1.9065353528152850e+07 1.8972946472602855e+07 1.8864946930086803e+07 1.8739092102086224e+07 1.8592848188163873e+07 1.8423443538039196e+07 1.8227894094669987e+07 1.8003048077739134e+07 1.7745657598410759e+07 1.7452485343286034e+07 1.7120448858115807e+07 1.6746812588995431e+07 1.6329425221853174e+07 1.5867002112908646e+07 1.5359434175810764e+07 1.4765364305859812e+07 1.4124817695084965e+07 1.3444464667536262e+07 1.2733689685734501e+07 1.2004344702467913e+07 1.1270141324876092e+07 1.0545697522566430e+07 9.8453407038043812e+06 9.1818597963798698e+06 8.5653760387736559e+06 8.0026291639276855e+06 7.4969017179226428e+06 7.0483444115789523e+06 6.6542143866581339e+06 6.3100070741117885e+06 6.0104335757964561e+06 5.7499198438708056e+06 5.5232295777620589e+06 5.3256303312273948e+06 5.1532068427763646e+06 5.0025176603902299e+06 4.8708943412636817e+06 4.7559312899104953e+06 4.6558891754143648e+06 4.5690827784210304e+06 4.4941135069501400e+06 4.4298932116431957e+06 4.3752952707680333e+06 4.3292320273829866e+06 4.2909008624925157e+06 4.2593202054445595e+06 4.2337530300885234e+06 4.2133635845694048e+06 4.1974192766917450e+06 4.1849367664293242e+06 4.1749644908045772e+06 4.1667765463188067e+06 4.1596929126523775e+06 4.1530597808726542e+06 4.1483825708217309e+06 4.1436652131775757e+06 4.1388541397435917e+06 4.1338158664772157e+06 4.1286186197198736e+06 4.1231146538586486e+06 4.1174799985795026e+06 4.1112251824619421e+06 4.1045311385218157e+06 4.0972746753409021e+06 4.0893595951606934e+06 4.0806690022958773e+06 4.0710712108525499e+06 4.0603788577539991e+06 4.0486060587056065e+06 4.0353187612959333e+06 4.0204212990854648e+06 4.0036975037471680e+06 3.9849147451333343e+06 3.9638331217914983e+06 3.9402120044868034e+06 3.9137870357895112e+06 3.8845870007408797e+06 3.8521109549429589e+06 3.8164662313762968e+06 3.7777352938221819e+06 3.7362219395147599e+06 3.6924430562476092e+06 3.6473824792514369e+06 3.6025058397639231e+06 3.5602045172454398e+06 3.5235020786081385e+06 3.4971164775133287e+06 3.4876266544303196e+06 3.5045888299930864e+06 3.5619141779474616e+06 3.6806831311581763e+06 3.8942676515782042e+06 4.2588876212492408e+06 5.4345630772991024e+05 +1.4165321773925339e+01 1.9485835840434786e+07 1.9483829867638566e+07 1.9480405679846212e+07 1.9475733938732006e+07 1.9470650179022096e+07 1.9466584218649913e+07 1.9464228345963165e+07 1.9462459720018514e+07 1.9460038003004972e+07 1.9456569893012997e+07 1.9452027235505875e+07 1.9446257664862707e+07 1.9439029716185253e+07 1.9430092168950211e+07 1.9419170920500200e+07 1.9405938582164299e+07 1.9390001803600170e+07 1.9370898804722715e+07 1.9348089866435826e+07 1.9320942571748640e+07 1.9288719966417424e+07 1.9250551573631115e+07 1.9205261723984208e+07 1.9150832773787133e+07 1.9084958892313447e+07 1.9006494299178176e+07 1.8914314701712880e+07 1.8806581657233402e+07 1.8681038272491619e+07 1.8535157440153610e+07 1.8366174952880789e+07 1.8171114931846887e+07 1.7946834456400011e+07 1.7690095065893222e+07 1.7397669247457866e+07 1.7066484429783583e+07 1.6693814602181491e+07 1.6277517092107069e+07 1.5816314270138906e+07 1.5310101573484732e+07 1.4717639393091384e+07 1.4078852851373032e+07 1.3400400352448756e+07 1.2691646137196062e+07 1.1964413424282227e+07 1.1232377402710520e+07 1.0510113975747777e+07 9.8119060010112710e+06 9.1504992375379708e+06 8.5359772361138035e+06 7.9750507780438541e+06 7.4709835823541488e+06 7.0239177567635505e+06 6.6311123068323331e+06 6.2880717365888758e+06 5.9895203382595303e+06 5.7298996482825726e+06 5.5039889757258631e+06 5.3070706624887064e+06 5.1352420346744591e+06 4.9850730247466126e+06 4.8539041350309821e+06 4.7393379743464626e+06 4.6396411628365386e+06 4.5531343100012718e+06 4.4784236753174448e+06 4.4144248791048210e+06 4.3600152272354364e+06 4.3141108467756463e+06 4.2759118999773972e+06 4.2444402348570768e+06 4.2189613591539590e+06 4.1986424084399389e+06 4.1827533019769085e+06 4.1703140832170504e+06 4.1603764715880528e+06 4.1522170438788664e+06 4.1451581157050463e+06 4.1385481438898938e+06 4.1338872730994443e+06 4.1291863976512980e+06 4.1243921350038890e+06 4.1193714668277465e+06 4.1141923807808468e+06 4.1087076497534094e+06 4.1030926766219009e+06 4.0968597166059241e+06 4.0901890635058903e+06 4.0829579563582037e+06 4.0750705335370912e+06 4.0664103078149236e+06 4.0568460534253134e+06 4.0461910643026191e+06 4.0344593953147987e+06 4.0212185268020644e+06 4.0063731197087686e+06 3.9897077610452962e+06 3.9709906335268426e+06 3.9499826739595714e+06 3.9264440939257699e+06 3.9001114619507170e+06 3.8710134514328367e+06 3.8386508838555254e+06 3.8031307105278820e+06 3.7645351070911433e+06 3.7231668092593295e+06 3.6795408987175217e+06 3.6346377729796707e+06 3.5899179441140397e+06 3.5477644254480749e+06 3.5111902331363959e+06 3.4848968292297311e+06 3.4754401680020522e+06 3.4923430747148455e+06 3.5494681155519928e+06 3.6678220650236937e+06 3.8806602796134041e+06 4.2440061835041214e+06 5.4133233419591957e+05 +1.4170290096699597e+01 1.9425970359347794e+07 1.9423970386109632e+07 1.9420556578581445e+07 1.9415898819069933e+07 1.9410829954523370e+07 1.9406775317098420e+07 1.9404425063296087e+07 1.9402659846745763e+07 1.9400243119283490e+07 1.9396782683823410e+07 1.9392250360996410e+07 1.9386494143420808e+07 1.9379283149627637e+07 1.9370366778489456e+07 1.9359471595857829e+07 1.9346271017739665e+07 1.9330372660377365e+07 1.9311315874916360e+07 1.9288562265323173e+07 1.9261480970668692e+07 1.9229336854758147e+07 1.9191261598692067e+07 1.9146082476883747e+07 1.9091786899717867e+07 1.9026074697570976e+07 1.8947802947942100e+07 1.8855850355348937e+07 1.8748383275798827e+07 1.8623150708472975e+07 1.8477632224290889e+07 1.8309071042087674e+07 1.8114499442174926e+07 1.7890783342326883e+07 1.7634693686477046e+07 1.7343012736575633e+07 1.7012677776664972e+07 1.6640972310413970e+07 1.6225762277511297e+07 1.5765777034760294e+07 1.5260916517632080e+07 1.4670058321767235e+07 1.4033027700010600e+07 1.3356471139129445e+07 1.2649732682042317e+07 1.1924606861789834e+07 1.1194732524334023e+07 1.0474643606572609e+07 9.7785785344617218e+06 9.1192400267385431e+06 8.5066740717185903e+06 7.9475626086706491e+06 7.4451506153993411e+06 6.9995716536540948e+06 6.6080866158620222e+06 6.2662090756146470e+06 5.9686764937784281e+06 5.7099459561894182e+06 5.4848123417758271e+06 5.2885727395932209e+06 5.1173370268065669e+06 4.9676864857474556e+06 4.8369705361431073e+06 4.7227999649652261e+06 4.6234473243625183e+06 4.5372390336892791e+06 4.4627861879755240e+06 4.3990081648855321e+06 4.3447861848992892e+06 4.2990401465758057e+06 4.2609729842795059e+06 4.2296099533616649e+06 4.2042190871885195e+06 4.1839703992886934e+06 4.1681363122256608e+06 4.1557402418667930e+06 4.1458371792875538e+06 4.1377061735303039e+06 4.1306718685406237e+06 4.1240849794124942e+06 4.1194403933219402e+06 4.1147559450219586e+06 4.1099784370115506e+06 4.1049753151176288e+06 4.0998143291170537e+06 4.0943487686590059e+06 4.0887534119617413e+06 4.0825422350433976e+06 4.0758948946494842e+06 4.0686890588357328e+06 4.0608292009893572e+06 4.0521992409692239e+06 4.0426684116140404e+06 4.0320506616492122e+06 4.0203599853689256e+06 4.0071653906632126e+06 3.9923718648097506e+06 3.9757647476275424e+06 3.9571130319756311e+06 3.9361784901264231e+06 3.9127221716697924e+06 3.8864815679770187e+06 3.8574852412234233e+06 3.8252357728221491e+06 3.7898397337027076e+06 3.7513790123345433e+06 3.7101552864517043e+06 3.6666818376656636e+06 3.6219356372522935e+06 3.5773720952164549e+06 3.5353658867247649e+06 3.4989195123636820e+06 3.4727179976784508e+06 3.4632943875253480e+06 3.4801382233615750e+06 3.5370636261585336e+06 3.6550039581129858e+06 3.8670983597116335e+06 4.2291744535634471e+06 5.3921646273244545e+05 +1.4175258419473856e+01 1.9366274705589455e+07 1.9364280720061854e+07 1.9360877212275401e+07 1.9356233394656707e+07 1.9351179385359336e+07 1.9347136043064877e+07 1.9344791397668619e+07 1.9343029587536916e+07 1.9340617843699455e+07 1.9337165071013130e+07 1.9332643065663178e+07 1.9326900177906115e+07 1.9319706108498048e+07 1.9310810874460209e+07 1.9299941708833329e+07 1.9286772830685638e+07 1.9270912820927005e+07 1.9251902159710880e+07 1.9229203771441929e+07 1.9202188348132446e+07 1.9170122568042751e+07 1.9132140265858501e+07 1.9087071653656986e+07 1.9032909185624868e+07 1.8967358342017524e+07 1.8889279052496277e+07 1.8797553012082156e+07 1.8690351364919491e+07 1.8565428989825808e+07 1.8420272121210743e+07 1.8252131387241002e+07 1.8058047208422717e+07 1.7834894319640670e+07 1.7579453045946896e+07 1.7288515398392744e+07 1.6959028488866054e+07 1.6588285306557138e+07 1.6174160374292182e+07 1.5715390006930701e+07 1.5211878613046292e+07 1.4622620702567225e+07 1.3987341858625177e+07 1.3312676653323062e+07 1.2607948955317024e+07 1.1884924660603227e+07 1.1157206347129626e+07 1.0439286085208157e+07 9.7453579879234079e+06 9.0880818618466966e+06 8.4774662577255294e+06 7.9201643820135007e+06 7.4194025568174198e+06 6.9753058547643907e+06 6.5851370780410925e+06 6.2444188661950370e+06 5.9479018269909369e+06 5.6900585608016104e+06 5.4656994767128173e+06 5.2701363700375613e+06 5.0994916325568138e+06 4.9503578619442927e+06 4.8200933676760159e+06 4.7063170887997784e+06 4.6073074904743312e+06 4.5213967829505755e+06 4.4472008809775440e+06 4.3836429072497822e+06 4.3296079838987086e+06 4.2840197685113139e+06 4.2460839584527640e+06 4.2148292050973019e+06 4.1895260592246531e+06 4.1693474028620389e+06 4.1535681537409695e+06 4.1412150891241007e+06 4.1313464609995028e+06 4.1232437826748965e+06 4.1162340188129330e+06 4.1096701353335055e+06 4.1050417795588179e+06 4.1003737035280652e+06 4.0956128941766368e+06 4.0906272599465922e+06 4.0854843135153810e+06 4.0800378595708087e+06 4.0744620538005945e+06 4.0682725871970002e+06 4.0616484816223276e+06 4.0544678327127560e+06 4.0466354477427406e+06 4.0380356523092263e+06 4.0285381363130556e+06 4.0179575010816716e+06 4.0063076805830286e+06 3.9931592050889037e+06 3.9784173871400566e+06 3.9618683168568756e+06 3.9432817945351689e+06 3.9224204251197600e+06 3.8990460934041440e+06 3.8728972105220761e+06 3.8440022278499096e+06 3.8118654807638740e+06 3.7765931611263193e+06 3.7382668711956930e+06 3.6971872342551476e+06 3.6538657378574968e+06 3.6092759384906427e+06 3.5648681611301880e+06 3.5230087706844434e+06 3.4866897872400004e+06 3.4605798547787620e+06 3.4511891852691569e+06 3.4679741475775982e+06 3.5247005793161443e+06 3.6422286756214732e+06 3.8535817492474965e+06 4.2143922754440373e+06 5.3710866336897446e+05 +1.4180226742248115e+01 1.9306748235201150e+07 1.9304760396211196e+07 1.9301367154337987e+07 1.9296737240161382e+07 1.9291698048246313e+07 1.9287665973411731e+07 1.9285326925903339e+07 1.9283568519232981e+07 1.9281161753045812e+07 1.9277716631355617e+07 1.9273204926289082e+07 1.9267475345124625e+07 1.9260298169609200e+07 1.9251424033744644e+07 1.9240580836288817e+07 1.9227443597921040e+07 1.9211621862252068e+07 1.9192657236184862e+07 1.9170013961951002e+07 1.9143064281476591e+07 1.9111076683759395e+07 1.9073187152745519e+07 1.9028228832218293e+07 1.8974199209650267e+07 1.8908809404137556e+07 1.8830922191772945e+07 1.8739422251279984e+07 1.8632485504538078e+07 1.8507872697206385e+07 1.8363076712378733e+07 1.8195355570807159e+07 1.8001757814184561e+07 1.7779166973355681e+07 1.7524372730954617e+07 1.7234176821542874e+07 1.6905536157355431e+07 1.6535753184389526e+07 1.6122710979524463e+07 1.5665152787655981e+07 1.5162987465365663e+07 1.4575326147070827e+07 1.3941794945715005e+07 1.3269016521628631e+07 1.2566294592957063e+07 1.1845366467220863e+07 1.1119798529319255e+07 1.0404041082646864e+07 9.7122440459750108e+06 9.0570244415250998e+06 8.4483535070279650e+06 7.8928558250237592e+06 7.3937391470684651e+06 6.9511201132841399e+06 6.5622634583075251e+06 6.2227008839738648e+06 5.9271961231358862e+06 5.6702372559116725e+06 5.4466501819014195e+06 5.2517613618663214e+06 5.0817056658293251e+06 4.9330869723977456e+06 4.8032724532057559e+06 4.6898891733661508e+06 4.5912214921221528e+06 4.5056073917286228e+06 4.4316675908369683e+06 4.3683289449151363e+06 4.3144804648271007e+06 4.2690495547640175e+06 4.2312446659872197e+06 4.2000978346511284e+06 4.1748821207332513e+06 4.1547732653378323e+06 4.1390486732598906e+06 4.1267384721655790e+06 4.1169041642652033e+06 4.1088297191393157e+06 4.1018444146139375e+06 4.0953034599888106e+06 4.0906912803089786e+06 4.0860395218449626e+06 4.0812953553529852e+06 4.0763271503433315e+06 4.0712021832059440e+06 4.0657747719109291e+06 4.0602184517617417e+06 4.0540506229282543e+06 4.0474496745290421e+06 4.0402941283560256e+06 4.0324891244590324e+06 4.0239193928094534e+06 4.0144550788527797e+06 4.0039114343171287e+06 3.9923023331024940e+06 3.9791998227075688e+06 3.9645095398744564e+06 3.9480183225210812e+06 3.9294967756733471e+06 3.9087083341789516e+06 3.8854157152348654e+06 3.8593582466609273e+06 3.8305642694403073e+06 3.7985398670007563e+06 3.7633908534237957e+06 3.7251985457064412e+06 3.6842625162166976e+06 3.6410924644443612e+06 3.5966585434944197e+06 3.5524060102878492e+06 3.5106929473065906e+06 3.4745009290915476e+06 3.4484822728170748e+06 3.4391244338660222e+06 3.4558507193744220e+06 3.5123788449380589e+06 3.6294960831279769e+06 3.8401103059965777e+06 4.1996594936112454e+06 5.3500890624144929e+05 +1.4185195065022373e+01 1.9247390800981518e+07 1.9245408986192986e+07 1.9242025981957208e+07 1.9237409931616176e+07 1.9232385520751633e+07 1.9228364685806394e+07 1.9226031225612476e+07 1.9224276219436433e+07 1.9221874424946915e+07 1.9218436942487981e+07 1.9213935520484868e+07 1.9208219222701192e+07 1.9201058910641044e+07 1.9192205833972439e+07 1.9181388555981081e+07 1.9168282897233926e+07 1.9152499362170048e+07 1.9133580682235386e+07 1.9110992414898019e+07 1.9084108348804168e+07 1.9052198780189678e+07 1.9014401837868925e+07 1.8969553591239791e+07 1.8915656550793990e+07 1.8850427463244643e+07 1.8772731945452467e+07 1.8681457653129734e+07 1.8574785275458060e+07 1.8450481412069589e+07 1.8306045580089152e+07 1.8138743176031839e+07 1.7945630843895141e+07 1.7723600889271531e+07 1.7469452328970410e+07 1.7179996595460892e+07 1.6852200373932619e+07 1.6483375538506934e+07 1.6071413691121778e+07 1.5615064978790041e+07 1.5114242681123465e+07 1.4528174267659795e+07 1.3896386580638018e+07 1.3225490371499883e+07 1.2524769231745580e+07 1.1805931928961718e+07 1.1082508729958840e+07 1.0368908270711722e+07 9.6792363939871509e+06 9.0260674652235936e+06 8.4193355332959555e+06 7.8656366653760951e+06 7.3681601273288913e+06 6.9270141830804385e+06 6.5394655222657956e+06 6.2010549052005578e+06 5.9065591680530393e+06 5.6504818358901283e+06 5.4276642592604998e+06 5.2334475236487705e+06 5.0639789410601603e+06 4.9158736366814943e+06 4.7865076168026486e+06 4.6735160466849925e+06 4.5751891607497847e+06 4.4898706944398899e+06 4.4161861545376815e+06 4.3530661170656476e+06 4.2994034687400442e+06 4.2541293479584614e+06 4.2164549508325476e+06 4.1854156870575291e+06 4.1602871176291532e+06 4.1402478333402043e+06 4.1245777179594049e+06 4.1123102386151003e+06 4.1025101370549453e+06 4.0944638311955482e+06 4.0875029044634784e+06 4.0809848021349041e+06 4.0763887445048192e+06 4.0717532490749294e+06 4.0670256698171180e+06 4.0620748357787966e+06 4.0569677878333577e+06 4.0515593555338494e+06 4.0460224559086030e+06 4.0398761925211209e+06 4.0332983238959778e+06 4.0261677965561398e+06 4.0183900822162577e+06 4.0098503138695201e+06 4.0004190909739197e+06 3.9899123134931200e+06 3.9783437954980019e+06 3.9652870965683316e+06 3.9506481766060279e+06 3.9342146188169005e+06 3.9157578302780138e+06 3.8950420729543217e+06 3.8718308936766000e+06 3.8458645338640367e+06 3.8171712245371528e+06 3.7852587912528999e+06 3.7502326716101342e+06 3.7121738983018775e+06 3.6713809962866795e+06 3.6283618829622716e+06 3.5840833194383802e+06 3.5399855115073593e+06 3.4984182869459894e+06 3.4623528095984743e+06 3.4364251244414295e+06 3.4271000063058119e+06 3.4437678111298587e+06 3.5000982933205324e+06 3.6168060466022920e+06 3.8266838881518031e+06 4.1849759529755535e+06 5.3291716159190889e+05 +1.4190163387796632e+01 1.9188201841420662e+07 1.9186226045046661e+07 1.9182853276812464e+07 1.9178251047053669e+07 1.9173241381338827e+07 1.9169231758722343e+07 1.9166903875265729e+07 1.9165152266602211e+07 1.9162755437816910e+07 1.9159325582799084e+07 1.9154834426679373e+07 1.9149131389070924e+07 1.9141987910017055e+07 1.9133155853639077e+07 1.9122364446381062e+07 1.9109290307189524e+07 1.9093544899343390e+07 1.9074672076617990e+07 1.9052138709072705e+07 1.9025320129097153e+07 1.8993488436439402e+07 1.8955783900478818e+07 1.8911045510255609e+07 1.8857280788820617e+07 1.8792212099468082e+07 1.8714707894094054e+07 1.8623658798681926e+07 1.8517250259254701e+07 1.8393254716716960e+07 1.8249178307457794e+07 1.8082293787026417e+07 1.7889665882824332e+07 1.7668195654066257e+07 1.7414691428317349e+07 1.7125974310447820e+07 1.6799020731224705e+07 1.6431151964351717e+07 1.6020268107860152e+07 1.5565126183078574e+07 1.5065643867671620e+07 1.4481164677615363e+07 1.3851116383611938e+07 1.3182097831269071e+07 1.2483372509320427e+07 1.1766620694027087e+07 1.1045336608951481e+07 1.0333887322043834e+07 9.6463347181521263e+06 8.9952106331656519e+06 8.3904120509533212e+06 7.8385066314830836e+06 7.3426652394719170e+06 6.9029878187037949e+06 6.5167430361479418e+06 6.1794807067644214e+06 5.8859907481883941e+06 5.6307920956877731e+06 5.4087415112739662e+06 5.2151946645093970e+06 5.0463112732059537e+06 4.8987176748794848e+06 4.7697986830478562e+06 4.6571975372500122e+06 4.5592103282770142e+06 4.4741865259587644e+06 4.4007564095183210e+06 4.3378542633349504e+06 4.2843768371352768e+06 4.2392589911717046e+06 4.2017146573769068e+06 4.1707826077861697e+06 4.1457408962639929e+06 4.1257709539290490e+06 4.1101551354579655e+06 4.0979302365219425e+06 4.0881642277769721e+06 4.0801459675369454e+06 4.0732093373171855e+06 4.0667140109747010e+06 4.0621340215117214e+06 4.0575147347556069e+06 4.0528036872848910e+06 4.0478701661391789e+06 4.0427809774878509e+06 4.0373914607204353e+06 4.0318739167274027e+06 4.0257491466899575e+06 4.0191942806835975e+06 4.0120886885389821e+06 4.0043381725228536e+06 3.9958282673118403e+06 3.9864300248579662e+06 3.9759599911697390e+06 3.9644319207569039e+06 3.9514208801451321e+06 3.9368331513457778e+06 3.9204570603637323e+06 3.9020648136512656e+06 3.8814214975171899e+06 3.8582914856534353e+06 3.8324159300190960e+06 3.8038229520825660e+06 3.7720221136438842e+06 3.7371184771045921e+06 3.6991927918014750e+06 3.6585425387888490e+06 3.6156738593327804e+06 3.5715501338761197e+06 3.5276065339719569e+06 3.4861846603229246e+06 3.4502453008206380e+06 3.4244082826658078e+06 3.4151157759526861e+06 3.4317252955875280e+06 3.4878587951182052e+06 3.6041584323868821e+06 3.8133023543054140e+06 4.1703414988848926e+06 5.3083339976813667e+05 +1.4195131710570891e+01 1.9129181019949552e+07 1.9127211161463082e+07 1.9123848621820115e+07 1.9119260166497547e+07 1.9114265209335025e+07 1.9110266771481089e+07 1.9107944454124715e+07 1.9106196239982676e+07 1.9103804370899621e+07 1.9100382131549053e+07 1.9095901224101223e+07 1.9090211423487991e+07 1.9083084747009199e+07 1.9074273672064226e+07 1.9063508086858083e+07 1.9050465407161824e+07 1.9034758053198293e+07 1.9015930998830967e+07 1.8993452424145438e+07 1.8966699202106103e+07 1.8934945232434288e+07 1.8897332920711949e+07 1.8852704169583362e+07 1.8799071504346374e+07 1.8734162893762302e+07 1.8656849619064745e+07 1.8566025269770242e+07 1.8459880038379010e+07 1.8336192194284305e+07 1.8192474478421204e+07 1.8026006988703240e+07 1.7833862517064106e+07 1.7612950855220828e+07 1.7360089618149169e+07 1.7072109557637788e+07 1.6745996822759308e+07 1.6379082058232663e+07 1.5969273829405976e+07 1.5515336004069136e+07 1.5017190633263912e+07 1.4434296991067857e+07 1.3805983975730030e+07 1.3138838530107869e+07 1.2442104064169507e+07 1.1727432411444712e+07 1.1008281827034382e+07 1.0298977910119154e+07 9.6135387054721285e+06 8.9644536463714503e+06 8.3615827751760520e+06 7.8114654524894562e+06 7.3172542260736115e+06 6.8790407753648711e+06 6.4940957668617498e+06 6.1579780661728745e+06 5.8654906505727908e+06 5.6111678308283016e+06 5.3898817409703247e+06 5.1970025941105681e+06 5.0287024777496988e+06 4.8816189075885080e+06 4.7531454770083250e+06 4.6409334740493400e+06 4.5432848270968478e+06 4.4585547216455545e+06 4.3853781936928192e+06 4.3226932238227250e+06 4.2694004119675895e+06 4.2244383279292407e+06 4.1870236304528420e+06 4.1561984427544163e+06 4.1312433034317312e+06 4.1113424745947039e+06 4.0957807738063247e+06 4.0835983143743738e+06 4.0738662852695426e+06 4.0658759772996143e+06 4.0589635625598766e+06 4.0524909361274340e+06 4.0479269611276039e+06 4.0433238288528207e+06 4.0386292578898203e+06 4.0337129917520219e+06 4.0286416026728726e+06 4.0232709381820024e+06 4.0177726851301286e+06 4.0116693365787379e+06 4.0051373962712772e+06 3.9980566559455730e+06 3.9903332473121346e+06 3.9818531053813291e+06 3.9724877330933809e+06 3.9620543203307725e+06 3.9505665622819816e+06 3.9376010273196236e+06 3.9230643185210680e+06 3.9067455021996275e+06 3.8884175815060227e+06 3.8678464643415944e+06 3.8447973484944762e+06 3.8190122934121829e+06 3.7905193114240966e+06 3.7588296946979244e+06 3.7240481317217937e+06 3.6862550894235941e+06 3.6457470084474152e+06 3.6030282598572611e+06 3.5590588547470556e+06 3.5152689472415699e+06 3.4739919385300474e+06 3.4381782751774620e+06 3.4124316208652309e+06 3.4031716165231522e+06 3.4197230458525796e+06 3.4756602213615617e+06 3.5915531072146222e+06 3.7999655634486414e+06 4.1557559771360499e+06 5.2875759122330218e+05 +1.4200100033345150e+01 1.9070327863664884e+07 1.9068363959114168e+07 1.9065011597446810e+07 1.9060436871669788e+07 1.9055456584990866e+07 1.9051469304187041e+07 1.9049152542261366e+07 1.9047407719640888e+07 1.9045020804244757e+07 1.9041606168790281e+07 1.9037135492830891e+07 1.9031458906022724e+07 1.9024349001711268e+07 1.9015558869322427e+07 1.9004819057542019e+07 1.8991807777374037e+07 1.8976138404022228e+07 1.8957357029254038e+07 1.8934933140541255e+07 1.8908245148417056e+07 1.8876568748909935e+07 1.8839048479479358e+07 1.8794529150382977e+07 1.8741028278809324e+07 1.8676279427885849e+07 1.8599156702510234e+07 1.8508556649061389e+07 1.8402674196061049e+07 1.8279293428684350e+07 1.8135933677750118e+07 1.7969882366833098e+07 1.7778220333545089e+07 1.7557866081072230e+07 1.7305646488453496e+07 1.7018401929004624e+07 1.6693128242851611e+07 1.6327165417299232e+07 1.5918430456215080e+07 1.5465694046215644e+07 1.4968882586971607e+07 1.4387570823016757e+07 1.3760988978931932e+07 1.3095712098063366e+07 1.2400963535642875e+07 1.1688366731087456e+07 1.0971344045786716e+07 1.0264179709224811e+07 9.5808480437411405e+06 8.9337962066272739e+06 8.3328474219026975e+06 7.7845128582731159e+06 7.2919268304264760e+06 6.8551728089653561e+06 6.4715234819329605e+06 6.1365467615523171e+06 5.8450586628460800e+06 5.5916088374107629e+06 5.3710847519470109e+06 5.1788711226466559e+06 5.0111523706949316e+06 4.8645771559058921e+06 4.7365478242498105e+06 4.6247236865572464e+06 4.5274124900813280e+06 4.4429751173195448e+06 4.3700513454281744e+06 4.3075828390733441e+06 4.2544740356468614e+06 4.2096672022055099e+06 4.1723817153379805e+06 4.1416630383136841e+06 4.1167941863619513e+06 4.0969622432769230e+06 4.0814544814870921e+06 4.0693143210920217e+06 4.0596161588073997e+06 4.0516537100470127e+06 4.0447654300105944e+06 4.0383154276498919e+06 4.0337674135715920e+06 4.0291803817602834e+06 4.0245022322051176e+06 4.0196031633673599e+06 4.0145495143303387e+06 4.0091976390542444e+06 4.0037186124585434e+06 3.9976366137459031e+06 3.9911275224710442e+06 3.9840715508490195e+06 3.9763751589417281e+06 3.9679246807495859e+06 3.9585920686952956e+06 3.9481951543735843e+06 3.9367475739039872e+06 3.9238273924072678e+06 3.9093415329773971e+06 3.8930797997699459e+06 3.8748159899636796e+06 3.8543168303155648e+06 3.8313483399437885e+06 3.8056534827392562e+06 3.7772601623082180e+06 3.7456813953302028e+06 3.7110214976656139e+06 3.6733606547744372e+06 3.6329942703630286e+06 3.5904249512283658e+06 3.5466093503648485e+06 3.5029726212495929e+06 3.4618399930260261e+06 3.4261516054561031e+06 3.4004950127784158e+06 3.3912674020978492e+06 3.4077609353916734e+06 3.4635024434534037e+06 3.5789899381923713e+06 3.7866733749824357e+06 4.1412192339593861e+06 5.2668970651560801e+05 +1.4205068356119408e+01 1.9011641957982898e+07 1.9009683991684549e+07 1.9006341779228114e+07 1.9001780745302889e+07 1.8996815089329574e+07 1.8992838937781982e+07 1.8990527720558550e+07 1.8988786286457766e+07 1.8986404318730891e+07 1.8982997275377918e+07 1.8978536813732337e+07 1.8972873417536758e+07 1.8965780255022809e+07 1.8957011026369900e+07 1.8946296939412367e+07 1.8933316998826031e+07 1.8917685532899473e+07 1.8898949749040816e+07 1.8876580439565524e+07 1.8849957549440671e+07 1.8818358567423891e+07 1.8780930158544976e+07 1.8736520034621868e+07 1.8683150694456760e+07 1.8618561284453716e+07 1.8541628727474071e+07 1.8451252520043593e+07 1.8345632316391472e+07 1.8222558004709806e+07 1.8079555491065294e+07 1.7913919507998046e+07 1.7722738920045108e+07 1.7502940920776274e+07 1.7251361630074050e+07 1.6964851017362662e+07 1.6640414586700674e+07 1.6275401639546271e+07 1.5867737589611506e+07 1.5416199914805831e+07 1.4920719338750148e+07 1.4340985789317803e+07 1.3716131016023429e+07 1.3052718166028410e+07 1.2359950563955499e+07 1.1649423303686745e+07 1.0934522927613160e+07 1.0229492394478004e+07 9.5482624215579983e+06 8.9032380165170878e+06 8.3042057078249548e+06 7.7576485794264246e+06 7.2666827964996435e+06 6.8313836760714184e+06 6.4490259495561793e+06 6.1151865716461437e+06 5.8246945732381810e+06 5.5721149121104693e+06 5.3523503483445803e+06 5.1608000608516904e+06 4.9936607685692785e+06 4.8475922414516620e+06 4.7200055508388299e+06 4.6085680047301631e+06 4.5115931505804230e+06 4.4274475492737666e+06 4.3547757035545865e+06 4.2925229500975246e+06 4.2395975510239862e+06 4.1949454584148843e+06 4.1577887577487561e+06 4.1271762412578287e+06 4.1023933927212707e+06 4.0826301083380287e+06 4.0671761074173385e+06 4.0550781060269084e+06 4.0454136980905039e+06 4.0374790157747809e+06 4.0306147899164977e+06 4.0241873360292925e+06 4.0196552295014597e+06 4.0150842443038221e+06 4.0104224612233546e+06 4.0055405321594044e+06 4.0005045638243132e+06 3.9951714149009297e+06 3.9897115504767341e+06 3.9836508301859498e+06 3.9771645115127889e+06 3.9701332257406996e+06 3.9624637601830657e+06 3.9540428465071633e+06 3.9447428851049724e+06 3.9343823471239866e+06 3.9229748098654333e+06 3.9100998301261854e+06 3.8956646499730740e+06 3.8794598089357065e+06 3.8612598955674581e+06 3.8408324527364671e+06 3.8179443181470642e+06 3.7923393570969757e+06 3.7640453648870816e+06 3.7325770768689285e+06 3.6980384375410178e+06 3.6605093518513585e+06 3.6202841900284458e+06 3.5778638005056935e+06 3.5342014894126337e+06 3.4907174263013769e+06 3.4497286956387544e+06 3.4141651648054961e+06 3.3885983325033789e+06 3.3794030071170381e+06 3.3958388380343742e+06 3.4513853331544911e+06 3.5664687928138752e+06 3.7734256487106383e+06 4.1267311160337110e+06 5.2462971630793763e+05 +1.4210036678893667e+01 1.8953122797298145e+07 1.8951170834567484e+07 1.8947838744553078e+07 1.8943291370721251e+07 1.8938340304223109e+07 1.8934375253958669e+07 1.8932069570697870e+07 1.8930331522114679e+07 1.8927954496032003e+07 1.8924555032989744e+07 1.8920104768468637e+07 1.8914454539739877e+07 1.8907378088630769e+07 1.8898629724923018e+07 1.8887941314234383e+07 1.8874992653350957e+07 1.8859399021711603e+07 1.8840708740187738e+07 1.8818393903294727e+07 1.8791835987393018e+07 1.8760314270342518e+07 1.8722977540439609e+07 1.8678676405085884e+07 1.8625438334326554e+07 1.8561008046844486e+07 1.8484265277738772e+07 1.8394112467036657e+07 1.8288753984259602e+07 1.8165985507945154e+07 1.8023339504763100e+07 1.7858117999595519e+07 1.7667417865130316e+07 1.7448174964323718e+07 1.7197234634667221e+07 1.6911456416383620e+07 1.6587855450327139e+07 1.6223790323808579e+07 1.5817194831807507e+07 1.5366853215959826e+07 1.4872700499399653e+07 1.4294541506664976e+07 1.3671409710662866e+07 1.3009856365768740e+07 1.2319064790142376e+07 1.1610601780820234e+07 1.0897818135767475e+07 1.0194915641800767e+07 9.5157815283213574e+06 8.8727787793826107e+06 8.2756573503857497e+06 7.7308723472823268e+06 7.2415218689742386e+06 6.8076731339162122e+06 6.4266029385539023e+06 6.0938972758119125e+06 5.8043981705635041e+06 5.5526858521723310e+06 5.3336783348643053e+06 5.1427892199939536e+06 4.9762274884182448e+06 4.8306639863375090e+06 4.7035184833358740e+06 4.5924662590123201e+06 4.4958266424176358e+06 4.4119718542634295e+06 4.3395511073620189e+06 4.2775133983557513e+06 4.2247708014074210e+06 4.1802729414204727e+06 4.1432446038457640e+06 4.1127378988197921e+06 4.0880407706130981e+06 4.0683459185799276e+06 4.0529455009489697e+06 4.0408895189641016e+06 4.0312587532545500e+06 4.0233517449001251e+06 4.0165114929512143e+06 4.0101065121775344e+06 4.0055902599968677e+06 4.0010352677278910e+06 3.9963897963711275e+06 3.9915249497338682e+06 3.9865066029453734e+06 3.9811921177104325e+06 3.9757513513752944e+06 3.9697118383151153e+06 3.9632482160468837e+06 3.9562415335332914e+06 3.9485989042434064e+06 3.9402074561630883e+06 3.9309400361711173e+06 3.9206157528179302e+06 3.9092481248271219e+06 3.8964181956156236e+06 3.8820335251826299e+06 3.8658853859722340e+06 3.8477491552638845e+06 3.8273931893082340e+06 3.8045851416573939e+06 3.7790697759906482e+06 3.7508747797094896e+06 3.7195166010195082e+06 3.6850988143429095e+06 3.6477010450349716e+06 3.6076166333189206e+06 3.5653446751393173e+06 3.5218351409640303e+06 3.4785032330724052e+06 3.4376579185627727e+06 3.4022188267348367e+06 3.3767414545009043e+06 3.3675783063834272e+06 3.3839566279714601e+06 3.4393087626045495e+06 3.5539895389487687e+06 3.7602222448299867e+06 4.1122914704700187e+06 5.2257759136750310e+05 +1.4215005001667926e+01 1.8894770088811196e+07 1.8892824085116383e+07 1.8889502077311471e+07 1.8884968331354972e+07 1.8880031812279914e+07 1.8876077835252907e+07 1.8873777675209794e+07 1.8872043009111084e+07 1.8869670918624073e+07 1.8866279024112444e+07 1.8861838939552695e+07 1.8856201855129518e+07 1.8849142085071761e+07 1.8840414547525492e+07 1.8829751764610019e+07 1.8816834323580861e+07 1.8801278453187477e+07 1.8782633585479029e+07 1.8760373114614047e+07 1.8733880045280751e+07 1.8702435440850228e+07 1.8665190208541773e+07 1.8620997845381577e+07 1.8567890782343935e+07 1.8503619299283326e+07 1.8427065937965028e+07 1.8337136075160377e+07 1.8232038785388276e+07 1.8109575524816431e+07 1.7967285306103885e+07 1.7802477429887440e+07 1.7612256758241005e+07 1.7393567802545644e+07 1.7143265094740354e+07 1.6858217720546108e+07 1.6535450430596108e+07 1.6172331069780353e+07 1.5766801785811871e+07 1.5317653556676719e+07 1.4824825680568889e+07 1.4248237592628526e+07 1.3626824687368948e+07 1.2967126329884043e+07 1.2278305856120106e+07 1.1571901814898072e+07 1.0861229334328007e+07 1.0160449127945876e+07 9.4834050542308856e+06 8.8424181993682496e+06 8.2472020677904906e+06 7.7041838938967623e+06 7.2164437932284353e+06 6.7840409403999643e+06 6.4042542183958534e+06 6.0726786540458584e+06 5.7841692442529332e+06 5.5333214554101266e+06 5.3150685167535776e+06 5.1248384118808918e+06 4.9588523478034055e+06 4.8137922131849481e+06 4.6870864487881819e+06 4.5764182803279301e+06 4.4801127998885140e+06 4.3965478695099968e+06 4.3243773966010278e+06 4.2625540257585766e+06 4.2099936305449838e+06 4.1656494965268937e+06 4.1287491002281639e+06 4.0983478586657154e+06 4.0737361685718819e+06 4.0541095232363725e+06 4.0387625118616126e+06 4.0267484101163568e+06 4.0171511748603145e+06 4.0092717482801490e+06 4.0024553902185392e+06 3.9960728074310371e+06 3.9915723565599420e+06 3.9870333037122102e+06 3.9824040894937618e+06 3.9775562681178702e+06 3.9725554839042919e+06 3.9672595998904919e+06 3.9618378677647440e+06 3.9558194909675973e+06 3.9493784891525051e+06 3.9423963275658726e+06 3.9347804447337389e+06 3.9264183636488835e+06 3.9171833761708979e+06 3.9068952261140109e+06 3.8955673738729558e+06 3.8827823444288098e+06 3.8684480146924048e+06 3.8523563875640803e+06 3.8342836264107903e+06 3.8139988981438014e+06 3.7912706694341945e+06 3.7658445993219642e+06 3.7377482677230341e+06 3.7064998299011891e+06 3.6722024914576318e+06 3.6349355991020063e+06 3.5949914664949304e+06 3.5528674429540839e+06 3.5095101744507113e+06 3.4663299126104224e+06 3.4256275343614700e+06 3.3903124651201642e+06 3.3649242535883388e+06 3.3557931750524505e+06 3.3721141797570968e+06 3.4272726042978754e+06 3.5415520448431666e+06 3.7470630239517065e+06 4.0979001448161197e+06 5.2053330256549374e+05 +1.4219973324442185e+01 1.8836583447111219e+07 1.8834643342827961e+07 1.8831331365046557e+07 1.8826811210653257e+07 1.8821889196847476e+07 1.8817946264976777e+07 1.8815651617391542e+07 1.8813920330763772e+07 1.8811553169827595e+07 1.8808168832050331e+07 1.8803738910274506e+07 1.8798114947001792e+07 1.8791071827680252e+07 1.8782365077572659e+07 1.8771727873926386e+07 1.8758841592998117e+07 1.8743323410827760e+07 1.8724723868514042e+07 1.8702517657248892e+07 1.8676089306968480e+07 1.8644721662952732e+07 1.8607567747054439e+07 1.8563483939902212e+07 1.8510507623169295e+07 1.8446394626836397e+07 1.8370030293587685e+07 1.8280322930373028e+07 1.8175486306306064e+07 1.8053327642550267e+07 1.7911392483166348e+07 1.7746997387932729e+07 1.7557255189609252e+07 1.7339119027109638e+07 1.7089452603622191e+07 1.6805134525200225e+07 1.6483199125223221e+07 1.6121023478004113e+07 1.5716558055526188e+07 1.5268600544808889e+07 1.4777094494775027e+07 1.4202073665637188e+07 1.3582375571509415e+07 1.2924527691838918e+07 1.2237673404656103e+07 1.1533323059187701e+07 1.0824756188199975e+07 1.0126092530487606e+07 9.4511326902955230e+06 8.8121559813767411e+06 8.2188395789737646e+06 7.6775829520443324e+06 7.1914483153311945e+06 6.7604868541047173e+06 6.3819795591894789e+06 6.0515304869215060e+06 5.7640075843038959e+06 5.5140215202145567e+06 5.2965206998170596e+06 5.1069474488408901e+06 4.9415351648063241e+06 4.7969767451183051e+06 4.6707092747377716e+06 4.5604239000854399e+06 4.4644514577624546e+06 4.3811754327002764e+06 4.3092544114750475e+06 4.2476446746696699e+06 4.1952658826393783e+06 4.1510749694844182e+06 4.1143020939365858e+06 4.0840059689020058e+06 4.0594794355703769e+06 4.0399207719719387e+06 4.0246269903651611e+06 4.0126546301241270e+06 4.0030908138991618e+06 3.9952388771896050e+06 3.9884463332472248e+06 3.9820860735602579e+06 3.9776013711274825e+06 3.9730782043523807e+06 3.9684651928617768e+06 3.9636343397625000e+06 3.9586510593429431e+06 3.9533737142813024e+06 3.9479709526799759e+06 3.9419736413996592e+06 3.9355551843282599e+06 3.9285974615931581e+06 3.9210082356984140e+06 3.9126754233152121e+06 3.9034727597937020e+06 3.8932206220860160e+06 3.8819324124904377e+06 3.8691921325339167e+06 3.8549079750016155e+06 3.8388726708084322e+06 3.8208631667769370e+06 3.8006494377626153e+06 3.7780007608348196e+06 3.7526636873982246e+06 3.7246656902732346e+06 3.6935266260170834e+06 3.6593493326665764e+06 3.6222128792164889e+06 3.5824085562013243e+06 3.5404319721589703e+06 3.4972264596907413e+06 3.4541973363306411e+06 3.4136374159559044e+06 3.3784459541950445e+06 3.3531466049436498e+06 3.3440474886426013e+06 3.3603113683025609e+06 3.4152767310994361e+06 3.5291561791216773e+06 3.7339478470686260e+06 4.0835569870621134e+06 5.1849682087672793e+05 +1.4224941647216443e+01 1.8778562377804313e+07 1.8776628123624265e+07 1.8773326192517623e+07 1.8768819592137679e+07 1.8763912041958917e+07 1.8759980127218686e+07 1.8757690981372971e+07 1.8755963071209136e+07 1.8753600833741181e+07 1.8750224040905375e+07 1.8745804264753677e+07 1.8740193399495464e+07 1.8733166900602791e+07 1.8724480899214126e+07 1.8713869226401009e+07 1.8701014045849197e+07 1.8685533478982467e+07 1.8666979173732933e+07 1.8644827115724638e+07 1.8618463357098248e+07 1.8587172521447893e+07 1.8550109740957364e+07 1.8506134273909114e+07 1.8453288442322530e+07 1.8389333615337458e+07 1.8313157930906828e+07 1.8223672619437527e+07 1.8119096134372607e+07 1.7997241449219864e+07 1.7855660624836706e+07 1.7691677463631637e+07 1.7502412750335474e+07 1.7284828230491966e+07 1.7035796755473763e+07 1.6752206426502082e+07 1.6431101132731171e+07 1.6069867149823338e+07 1.5666463245662741e+07 1.5219693789031418e+07 1.4729506555369709e+07 1.4156049344957231e+07 1.3538061989316072e+07 1.2882060085958211e+07 1.2197167079334877e+07 1.1494865167772664e+07 1.0788398363117540e+07 1.0091845527793741e+07 9.4189641282997038e+06 8.7819918310788888e+06 8.1905696036407789e+06 7.6510692552146232e+06 7.1665351820581108e+06 6.7370106342684049e+06 6.3597787316826545e+06 6.0304525556654911e+06 5.7439129813176440e+06 5.4947858455379177e+06 5.2780346903971946e+06 5.0891161437456654e+06 4.9242757580255857e+06 4.7802174057700960e+06 4.6543867892215420e+06 4.5444829501618128e+06 4.4488424512783671e+06 4.3658543819889659e+06 4.2941819926521806e+06 4.2327851879027393e+06 4.1805874023323935e+06 4.1365492064757864e+06 4.0999034324437617e+06 4.0697120780674424e+06 4.0452704210116002e+06 4.0257795148792411e+06 4.0105387871039836e+06 3.9986080300598335e+06 3.9890775217885273e+06 3.9812529833344826e+06 3.9744841739890170e+06 3.9681461627489766e+06 3.9636771560534164e+06 3.9591698221801450e+06 3.9545729591693473e+06 3.9497590175437178e+06 3.9447931823171396e+06 3.9395343141303705e+06 3.9341504595793877e+06 3.9281741432925346e+06 3.9217781554896706e+06 3.9148447897891803e+06 3.9072821315895370e+06 3.8989784899240164e+06 3.8898080421519279e+06 3.8795917962238663e+06 3.8683430965851657e+06 3.8556474163092673e+06 3.8414132630183687e+06 3.8254340932084979e+06 3.8074876345304698e+06 3.7873446670883223e+06 3.7647752756275572e+06 3.7395269009205932e+06 3.7116269091085284e+06 3.6805968522680122e+06 3.6465392021343391e+06 3.6095327509209877e+06 3.5698677694585253e+06 3.5280381313346154e+06 3.4849838668693923e+06 3.4421053760145367e+06 3.4016874366375143e+06 3.3666191685575293e+06 3.3414083840998956e+06 3.3323411230234881e+06 3.3485480688712597e+06 3.4033210162388240e+06 3.5168018107869462e+06 3.7208765755887865e+06 4.0692618456296120e+06 5.1646811737930414e+05 +1.4229909969990702e+01 1.8720706428100251e+07 1.8718778058347832e+07 1.8715486139947411e+07 1.8710993059643190e+07 1.8706099932376191e+07 1.8702179006899029e+07 1.8699895352090694e+07 1.8698170815352913e+07 1.8695813495301805e+07 1.8692444235605143e+07 1.8688034587915808e+07 1.8682436797549404e+07 1.8675426888778798e+07 1.8666761597430505e+07 1.8656175407061327e+07 1.8643351267191697e+07 1.8627908242791064e+07 1.8609399086349230e+07 1.8587301075374283e+07 1.8561001781141955e+07 1.8529787601977862e+07 1.8492815776090063e+07 1.8448948433414634e+07 1.8396232826151133e+07 1.8332435851473738e+07 1.8256448436982539e+07 1.8167184729938649e+07 1.8062867857769527e+07 1.7941316533679899e+07 1.7800089320843168e+07 1.7636517247685246e+07 1.7447729032300871e+07 1.7230695006013118e+07 1.6982297145319849e+07 1.6699433021461658e+07 1.6379156052536158e+07 1.6018861687485047e+07 1.5616516961798713e+07 1.5170932898893500e+07 1.4682061476564804e+07 1.4110164250716120e+07 1.3493883567858931e+07 1.2839723147393068e+07 1.2156786524609355e+07 1.1456527795596043e+07 1.0752155525662486e+07 1.0057707799072871e+07 9.3868990608288459e+06 8.7519254549370985e+06 8.1623918622414833e+06 7.6246425376397781e+06 7.1417041408533677e+06 6.7136120407891367e+06 6.3376515072654067e+06 6.0094446420851527e+06 5.7238852264806554e+06 5.4756142309047384e+06 5.2596102953930870e+06 5.0713443099943595e+06 4.9070739465747010e+06 4.7635140192704517e+06 4.6381188207633607e+06 4.5285952629350666e+06 4.4332856161478842e+06 4.3505845559808100e+06 4.2791599812465413e+06 4.2179754087244729e+06 4.1659580347131304e+06 4.1220720541391391e+06 4.0855529636629848e+06 4.0554660351360198e+06 4.0311089747302611e+06 4.0116856024861732e+06 3.9964977531424835e+06 3.9846084614197705e+06 3.9751111503717471e+06 3.9673139188414258e+06 3.9605687648292240e+06 3.9542529276136328e+06 3.9497995641160989e+06 3.9453080101333344e+06 3.9407272415371630e+06 3.9359301547554848e+06 3.9309817063086522e+06 3.9257412531177304e+06 3.9203762423354010e+06 3.9144208507432938e+06 3.9080472569716424e+06 3.9011381667499417e+06 3.8936019872825406e+06 3.8853274186612675e+06 3.8761890787666338e+06 3.8660086044207271e+06 3.8547992824827055e+06 3.8421480525470995e+06 3.8279637360662166e+06 3.8120405126781673e+06 3.7941568882574071e+06 3.7740844454471599e+06 3.7515940739810057e+06 3.7264341009972612e+06 3.6986317863694686e+06 3.6677103719457453e+06 3.6337719644201910e+06 3.5968950801496631e+06 3.5573689736745162e+06 3.5156857894416284e+06 3.4727822665473744e+06 3.4300539038193813e+06 3.3897774700595923e+06 3.3548319831613973e+06 3.3297094669516939e+06 3.3206739544247370e+06 3.3368241570959669e+06 3.3914053333070939e+06 3.5044888092164858e+06 3.7078490713011869e+06 4.0550145693763774e+06 5.1444716325425182e+05 +1.4234878292764961e+01 1.8663015199322112e+07 1.8661092716100059e+07 1.8657810787983268e+07 1.8653331197648484e+07 1.8648452453591678e+07 1.8644542489691727e+07 1.8642264315294083e+07 1.8640543148945067e+07 1.8638190740221459e+07 1.8634829001865923e+07 1.8630429465478435e+07 1.8624844726898879e+07 1.8617851377978303e+07 1.8609206758023061e+07 1.8598646001738165e+07 1.8585852842949830e+07 1.8570447288208127e+07 1.8551983192418862e+07 1.8529939122348469e+07 1.8503704165376034e+07 1.8472566490978092e+07 1.8435685439052459e+07 1.8391926005301896e+07 1.8339340361773062e+07 1.8275700922725681e+07 1.8199901399741828e+07 1.8110858850287884e+07 1.8006801065500591e+07 1.7885552485673163e+07 1.7744678161728833e+07 1.7581516331650652e+07 1.7393203628260437e+07 1.7176718947829239e+07 1.6928953368983183e+07 1.6646813907918902e+07 1.6327363484855942e+07 1.5968006694024367e+07 1.5566718810340624e+07 1.5122317484773081e+07 1.4634758873426432e+07 1.4064418003896985e+07 1.3449839935083946e+07 1.2797516512180189e+07 1.2116531385791989e+07 1.1418310598442361e+07 1.0716027343217311e+07 1.0023679024313172e+07 9.3549371812804211e+06 8.7219565601642709e+06 8.1343060759576084e+06 7.5983025342466822e+06 7.1169549398758486e+06 6.6902908342368938e+06 6.3155976579565015e+06 5.9885065286132516e+06 5.7039241115649492e+06 5.4565064763982436e+06 5.2412473222428989e+06 5.0536317615140565e+06 4.8899295500836307e+06 4.7468664102468509e+06 4.6219051983729005e+06 4.5127606712392289e+06 4.4177807885480588e+06 4.3353657937550014e+06 4.2641882188299838e+06 4.2032151808457468e+06 4.1513776253137938e+06 4.1076433595356476e+06 4.0712505359440567e+06 4.0412676895144056e+06 4.0169949469890967e+06 3.9976388857476139e+06 3.9825037399786832e+06 3.9706557761283149e+06 3.9611915519137350e+06 3.9534215362669830e+06 3.9466999585622950e+06 3.9404062211913029e+06 3.9359684485178846e+06 3.9314926215826869e+06 3.9269278935002536e+06 3.9221476051179478e+06 3.9172164852166125e+06 3.9119943853384648e+06 3.9066481552445660e+06 3.9007136182662896e+06 3.8943623435227065e+06 3.8874774474792625e+06 3.8799676580684050e+06 3.8717220651223091e+06 3.8626157255721595e+06 3.8524709030012493e+06 3.8413008269093391e+06 3.8286938984503238e+06 3.8145592518720375e+06 3.7986917875392921e+06 3.7808707869421765e+06 3.7608686325750113e+06 3.7384570164585426e+06 3.7133851491317227e+06 3.6856801845877077e+06 3.6548670487361182e+06 3.6210474844734669e+06 3.5842997332235011e+06 3.5449120366379889e+06 3.5033748158170800e+06 3.4606215296551883e+06 3.4180427922577644e+06 3.3779073902353481e+06 3.3430842733217473e+06 3.3180497297430714e+06 3.3090458594308053e+06 3.3251395089535099e+06 3.3795295562629784e+06 3.4922170441608303e+06 3.6948651964033041e+06 4.0408150075924555e+06 5.1243392978518771e+05 +1.4239846615539220e+01 1.8605488403200820e+07 1.8603571661797959e+07 1.8600299724380653e+07 1.8595833591618065e+07 1.8590969191812765e+07 1.8587070162065063e+07 1.8584797457525194e+07 1.8583079658541661e+07 1.8580732155049488e+07 1.8577377926233362e+07 1.8572988484007113e+07 1.8567416774104286e+07 1.8560439954780906e+07 1.8551815967577957e+07 1.8541280597079381e+07 1.8528518359806623e+07 1.8513150202009112e+07 1.8494731078788739e+07 1.8472740843617421e+07 1.8446570096904270e+07 1.8415508775672983e+07 1.8378718317298945e+07 1.8335066577233434e+07 1.8282610637145605e+07 1.8219128417405486e+07 1.8143516407895189e+07 1.8054694569695987e+07 1.7950895347367857e+07 1.7829948895692058e+07 1.7689426738845170e+07 1.7526674307888862e+07 1.7338836131755121e+07 1.7122899650919564e+07 1.6875765023122400e+07 1.6594348684545526e+07 1.6275723030755568e+07 1.5917301773361782e+07 1.5517068398564003e+07 1.5073847157913901e+07 1.4587598361859707e+07 1.4018810226319218e+07 1.3405930719768411e+07 1.2755439817172451e+07 1.2076401309005164e+07 1.1380213232909197e+07 1.0680013484006414e+07 9.9897588843410891e+06 9.3230781838067994e+06 8.6920848547695037e+06 8.1063119667259883e+06 7.5720489806989189e+06 7.0922873279614206e+06 6.6670467758328449e+06 6.2936169564147415e+06 5.9676379982958781e+06 5.6840294289276563e+06 5.4374623826715453e+06 5.2229455789425392e+06 5.0359783127583181e+06 4.8728423886854844e+06 4.7302744038318535e+06 4.6057457515482148e+06 4.4969790084008351e+06 4.4023278051308179e+06 4.3201979348410349e+06 4.2492665474318424e+06 4.1885043484286019e+06 4.1368460201112954e+06 4.0932629701746940e+06 4.0569959980697241e+06 4.0271168910372606e+06 4.0029281884864839e+06 3.9836392160424986e+06 3.9685565995320869e+06 3.9567498265305180e+06 3.9473185791063975e+06 3.9395756885872888e+06 3.9328776084188567e+06 3.9266058969365819e+06 3.9221836628825120e+06 3.9177235103188697e+06 3.9131747690205011e+06 3.9084112227642541e+06 3.9034973733617384e+06 3.8982935653087297e+06 3.8929660530209518e+06 3.8870523007959160e+06 3.8807232703204216e+06 3.8738624874084448e+06 3.8663789996513249e+06 3.8581622853176733e+06 3.8490878389185118e+06 3.8389785486898636e+06 3.8278475870105652e+06 3.8152848116304846e+06 3.8011996685743788e+06 3.7853877765209321e+06 3.7676291899718363e+06 3.7476970886033350e+06 3.7253639640324190e+06 3.7003799072204833e+06 3.6727719666998773e+06 3.6420667467172723e+06 3.6083656276257578e+06 3.5717465768365748e+06 3.5324968265098999e+06 3.4911050801670640e+06 3.4485015274910210e+06 3.4060719142159517e+06 3.3660770715406761e+06 3.3313759147095755e+06 3.3064290490794443e+06 3.2974567149788761e+06 3.3134940007879538e+06 3.3676935594176953e+06 3.4799863857475547e+06 3.6819248134878585e+06 4.0266630099982596e+06 5.1042838835796900e+05 +1.4244814938313478e+01 1.8548125492636327e+07 1.8546214535549514e+07 1.8542952543280121e+07 1.8538499828132380e+07 1.8533649734048087e+07 1.8529761611313961e+07 1.8527494366146080e+07 1.8525779931510236e+07 1.8523437327131569e+07 1.8520090596054446e+07 1.8515711230841305e+07 1.8510152526519489e+07 1.8503192206562623e+07 1.8494588813538980e+07 1.8484078780522786e+07 1.8471347405265044e+07 1.8456016571752824e+07 1.8437642333117295e+07 1.8415705826937608e+07 1.8389599163607318e+07 1.8358614044143524e+07 1.8321913999085885e+07 1.8278369737689082e+07 1.8226043241055612e+07 1.8162717924622785e+07 1.8087293050983876e+07 1.7998691478209238e+07 1.7895150294011500e+07 1.7774505355087355e+07 1.7634334644406307e+07 1.7471990769594580e+07 1.7284626137181066e+07 1.7069236711090948e+07 1.6822731705262825e+07 1.6542036950862518e+07 1.6224234292130465e+07 1.5866746530228904e+07 1.5467565334559411e+07 1.5025521530388433e+07 1.4540579558632469e+07 1.3973340540660206e+07 1.3362155551540932e+07 1.2713492700092310e+07 1.2036395941242721e+07 1.1342235356467446e+07 1.0644113617074741e+07 9.9559470607793499e+06 9.2913217633869108e+06 8.6623100474958252e+06 8.0784092572255433e+06 7.5458816133605810e+06 7.0677010546350395e+06 6.6438796274777800e+06 6.2717091759286150e+06 5.9468388347724983e+06 5.6642009715128709e+06 5.4184817509397939e+06 5.2047048740157029e+06 5.0183837787091425e+06 4.8558122830337863e+06 4.7137378256499879e+06 4.5896403102770066e+06 4.4812501082092430e+06 4.3869265030013025e+06 4.3050808192315102e+06 4.2343948095258111e+06 4.1738427560764845e+06 4.1223630655184654e+06 4.0789307340008593e+06 4.0427891992582590e+06 4.0130134899759376e+06 3.9889085503416844e+06 3.9696864451767807e+06 3.9546561841474725e+06 3.9428904653986860e+06 3.9334920850668051e+06 3.9257762291981466e+06 3.9191015680402908e+06 3.9128518087303569e+06 3.9084450612487323e+06 3.9040005305509740e+06 3.8994677224763175e+06 3.8947208622504841e+06 3.8898242254837272e+06 3.8846386479563597e+06 3.8793297907917625e+06 3.8734367536851675e+06 3.8671298929433231e+06 3.8602931423749640e+06 3.8528358681522734e+06 3.8446479356745821e+06 3.8356052755718390e+06 3.8255313986276705e+06 3.8144394203394940e+06 3.8019206501069944e+06 3.7878848447164292e+06 3.7721283387532569e+06 3.7544319571432285e+06 3.7345696740681068e+06 3.7123147780655096e+06 3.6874182375646718e+06 3.6599069960239036e+06 3.6293093303539329e+06 3.5957262595995045e+06 3.5592354780771956e+06 3.5201232118381998e+06 3.4788764525793111e+06 3.4364221317248256e+06 3.3941411429423024e+06 3.3542863887142274e+06 3.3197067833490432e+06 3.2948473019149774e+06 3.2859063983600130e+06 3.3018875092924954e+06 3.3558972174480353e+06 3.4677967044707835e+06 3.6690277855320796e+06 4.0125584267508700e+06 5.0843051046034851e+05 +1.4249783261087737e+01 1.8490925997948878e+07 1.8489020916218065e+07 1.8485768837023813e+07 1.8481329494761471e+07 1.8476493668108128e+07 1.8472616425503787e+07 1.8470354629331771e+07 1.8468643556001563e+07 1.8466305844626863e+07 1.8462966599474717e+07 1.8458597294150341e+07 1.8453051572344702e+07 1.8446107721518476e+07 1.8437524884099111e+07 1.8427040140351851e+07 1.8414339567647964e+07 1.8399045985853679e+07 1.8380716543878168e+07 1.8358833660902143e+07 1.8332790954214137e+07 1.8301881885274407e+07 1.8265272073469318e+07 1.8221835075971708e+07 1.8169637763058972e+07 1.8106469034297012e+07 1.8031230919360202e+07 1.7942849166672021e+07 1.7839565496873144e+07 1.7719221456026640e+07 1.7579401471392203e+07 1.7417465310770441e+07 1.7230573239749677e+07 1.7015729724961370e+07 1.6769853013703050e+07 1.6489878307201065e+07 1.6172896871714218e+07 1.5816340570198942e+07 1.5418209227288734e+07 1.4977340215127755e+07 1.4493702081343208e+07 1.3928008570461122e+07 1.3318514060891207e+07 1.2671674799488416e+07 1.1996514930324998e+07 1.1304376627376890e+07 1.0608327412285611e+07 9.9222432360670939e+06 9.2596676157715935e+06 8.6326318478805348e+06 8.0505976708688773e+06 7.5198001693167770e+06 7.0431958701154701e+06 6.6207891517124753e+06 6.2498740904237367e+06 5.9261088223020099e+06 5.6444385328478981e+06 5.3995643829784337e+06 5.1865250165426275e+06 5.0008479748683842e+06 4.8388390542905135e+06 4.6972565018265443e+06 4.5735887050273642e+06 4.4655738049441781e+06 4.3715767197462004e+06 4.2900142873760834e+06 4.2195728480416005e+06 4.1592302488405658e+06 4.1079286083929180e+06 4.0646464993959623e+06 4.0286299891575775e+06 3.9989573370262701e+06 3.9749358841075813e+06 3.9557804253869271e+06 3.9408023465979090e+06 3.9290775459253150e+06 3.9197119233279461e+06 3.9120230119223730e+06 3.9053716914923037e+06 3.8991438108672020e+06 3.8947524980827151e+06 3.8903235369041413e+06 3.8858066086588055e+06 3.8810763785464056e+06 3.8761968967365068e+06 3.8710294886308480e+06 3.8657392240999737e+06 3.8598668326911349e+06 3.8535820673970645e+06 3.8467692686350206e+06 3.8393381201013257e+06 3.8311788730307096e+06 3.8221678927035169e+06 3.8121293103604973e+06 3.8010761848604027e+06 3.7886012723084288e+06 3.7746146392502645e+06 3.7589133337752493e+06 3.7412789486522647e+06 3.7214862499074321e+06 3.6993093203231175e+06 3.6745000028527966e+06 3.6470851362785315e+06 3.6165946644996861e+06 3.5831292465010351e+06 3.5467663044095640e+06 3.5077910615418390e+06 3.4666888035091949e+06 3.4243832143930583e+06 3.3822503520493866e+06 3.3425352168512703e+06 3.3080767556293225e+06 3.2833043655607575e+06 3.2743947872156417e+06 3.2903199115122431e+06 3.3441404053932233e+06 3.4556478712033071e+06 3.6561739759160671e+06 3.9985011084354003e+06 5.0644026768163312e+05 +1.4254751583861996e+01 1.8433889691102233e+07 1.8431990381439205e+07 1.8428748191689733e+07 1.8424322180010151e+07 1.8419500582655329e+07 1.8415634193516381e+07 1.8413377836069398e+07 1.8411670121001717e+07 1.8409337296506707e+07 1.8406005525473472e+07 1.8401646262899362e+07 1.8396113500511497e+07 1.8389186088642586e+07 1.8380623768296916e+07 1.8370164265633035e+07 1.8357494436067596e+07 1.8342238033476833e+07 1.8323953300370082e+07 1.8302123934877880e+07 1.8276145058233440e+07 1.8245311888715677e+07 1.8208792130323369e+07 1.8165462182185009e+07 1.8113393793561976e+07 1.8050381337201495e+07 1.7975329604184296e+07 1.7887167226759423e+07 1.7784140548230167e+07 1.7664096791487575e+07 1.7524626813630112e+07 1.7363097526258178e+07 1.7176677035494167e+07 1.6962378290011600e+07 1.6717128547620196e+07 1.6437872354741465e+07 1.6121710373098996e+07 1.5766083499708941e+07 1.5368999686535621e+07 1.4929302825903160e+07 1.4446965548458779e+07 1.3882813940093482e+07 1.3275005879152015e+07 1.2629985754776567e+07 1.1956757924922431e+07 1.1266636704761568e+07 1.0572654540330540e+07 9.8886470934353583e+06 9.2281154374914430e+06 8.6030499662094899e+06 8.0228769318193784e+06 7.4938043863688027e+06 7.0187715252911691e+06 6.5977751117380429e+06 6.2281114744459083e+06 5.9054477457417613e+06 5.6247419070404936e+06 5.3807100811236640e+06 5.1684058161297226e+06 4.9833707172724977e+06 4.8219225241212500e+06 4.6808302589824051e+06 4.5575907667559432e+06 4.4499499333433602e+06 4.3562782934033833e+06 4.2749981801832523e+06 4.2048005063578505e+06 4.1446666722192680e+06 4.0935424960308401e+06 4.0504101151709002e+06 4.0145182178442595e+06 3.9849482833174178e+06 3.9610100417576577e+06 3.9419210093282312e+06 3.9269949400758906e+06 3.9153109217296080e+06 3.9059779478483931e+06 3.8983158909963486e+06 3.8916878332642829e+06 3.8854817580662547e+06 3.8811058282620423e+06 3.8766923844252508e+06 3.8721912827828322e+06 3.8674776270458871e+06 3.8626152426905064e+06 3.8574659430973865e+06 3.8521942089121579e+06 3.8463423940015160e+06 3.8400796500905775e+06 3.8332907228554301e+06 3.8258856124434383e+06 3.8177549546294683e+06 3.8087755479005310e+06 3.7987721418500515e+06 3.7877577389376517e+06 3.7753265370711223e+06 3.7613889115326842e+06 3.7457426215263698e+06 3.7281700250987350e+06 3.7084466774548381e+06 3.6863474529691120e+06 3.6616250661731358e+06 3.6343062515741750e+06 3.6039226144021186e+06 3.5705744548181323e+06 3.5343389236772624e+06 3.4955002449196875e+06 3.4545420037881150e+06 3.4123846479066890e+06 3.3703994155146694e+06 3.3308234314081473e+06 3.2964857082882086e+06 3.2718001176793664e+06 3.2629217595366314e+06 3.2787910848493739e+06 3.3324229986470421e+06 3.4435397571857795e+06 3.6433632484089294e+06 3.9844909060601741e+06 5.0445763171234168e+05 +1.4259719906636255e+01 1.8377016054222081e+07 1.8375122522717346e+07 1.8371890190289304e+07 1.8367477473159276e+07 1.8362670067226693e+07 1.8358814505040195e+07 1.8356563576132558e+07 1.8354859216281753e+07 1.8352531272517055e+07 1.8349206963801395e+07 1.8344857726844925e+07 1.8339337900833119e+07 1.8332426897737477e+07 1.8323885055965587e+07 1.8313450746223003e+07 1.8300811600465558e+07 1.8285592304643121e+07 1.8267352192652401e+07 1.8245576239087611e+07 1.8219661066003308e+07 1.8188903644976962e+07 1.8152473760328367e+07 1.8109250647242785e+07 1.8057310923770681e+07 1.7994454424871530e+07 1.7919588697444651e+07 1.7831645250944030e+07 1.7728875041163929e+07 1.7609130955248334e+07 1.7470010265788749e+07 1.7308887011706073e+07 1.7122937121253908e+07 1.6909182004500892e+07 1.6664557906990986e+07 1.6386018695496554e+07 1.6070674400670961e+07 1.5715974925986849e+07 1.5319936322917027e+07 1.4881408977314020e+07 1.4400369579254936e+07 1.3837756274765275e+07 1.3231630638472252e+07 1.2588425206200685e+07 1.1917124574532308e+07 1.1229015248571465e+07 1.0537094672714932e+07 9.8551583169271890e+06 9.1966649258711245e+06 8.5735641135465596e+06 7.9952467649730965e+06 7.4678940030216398e+06 6.9944277717495793e+06 6.5748372714191452e+06 6.2064211031790599e+06 5.8848553905538050e+06 5.6051108887752183e+06 5.3619186482689679e+06 5.1503470829414446e+06 4.9659518224726925e+06 4.8050625147080980e+06 4.6644589242294310e+06 4.5416463268938549e+06 4.4343783286233386e+06 4.3410310624840343e+06 4.2600323390107341e+06 4.1900776282994207e+06 4.1301518721478148e+06 4.0792045761592300e+06 4.0362214305752041e+06 4.0004537358378512e+06 3.9709861804034063e+06 3.9471308756949240e+06 3.9281080500813588e+06 3.9132338181955838e+06 3.9015904468448870e+06 3.8922900130052278e+06 3.8846547210778259e+06 3.8780498482544669e+06 3.8718655054605571e+06 3.8675049070845102e+06 3.8631069285721974e+06 3.8586216004815721e+06 3.8539244635543185e+06 3.8490791193331834e+06 3.8439478675345876e+06 3.8386946016016440e+06 3.8328632942040158e+06 3.8266224978532386e+06 3.8198573621161017e+06 3.8124782025330397e+06 3.8043760381365819e+06 3.7954280991522232e+06 3.7854597514612991e+06 3.7744839413518296e+06 3.7620963036344848e+06 3.7482075213233945e+06 3.7326160623544650e+06 3.7151050474759797e+06 3.6954508184438897e+06 3.6734290385613753e+06 3.6487932910035448e+06 3.6215702064034874e+06 3.5912930456911214e+06 3.5580617514262069e+06 3.5219532041062177e+06 3.4832506316453274e+06 3.4424359246151126e+06 3.4004263050333899e+06 3.3585882076738887e+06 3.3191509081968330e+06 3.2849335184203335e+06 3.2603344362831777e+06 3.2514871936774561e+06 3.2673009070584243e+06 3.3207448729653512e+06 3.4314722340284511e+06 3.6305954671721766e+06 3.9705276710714484e+06 5.0248257434386027e+05 +1.4264688229410513e+01 1.8320304787486423e+07 1.8318416919859260e+07 1.8315194417644821e+07 1.8310794964329395e+07 1.8306001712233741e+07 1.8302156950593013e+07 1.8299911440127648e+07 1.8298210432436582e+07 1.8295887363248341e+07 1.8292570505032513e+07 1.8288231276581265e+07 1.8282724363902971e+07 1.8275829739437453e+07 1.8267308337748639e+07 1.8256899172827147e+07 1.8244290651588038e+07 1.8229108390136555e+07 1.8210912811644558e+07 1.8189190164522000e+07 1.8163338568653461e+07 1.8132656745341018e+07 1.8096316554996081e+07 1.8053200062867504e+07 1.8001388745708462e+07 1.7938687889673326e+07 1.7864007791924100e+07 1.7776282832536034e+07 1.7673768569559887e+07 1.7554323541932177e+07 1.7415551423297059e+07 1.7254833363603648e+07 1.7069353094723143e+07 1.6856140467578404e+07 1.6612140692615228e+07 1.6334316932285689e+07 1.6019788559682252e+07 1.5666014457146257e+07 1.5271018747920165e+07 1.4833658284826586e+07 1.4353913793883173e+07 1.3792835200557427e+07 1.3188387971891714e+07 1.2546992794867963e+07 1.1877614529510444e+07 1.1191511919569468e+07 1.0501647481762622e+07 9.8217765913906489e+06 9.1653157790321764e+06 8.5441740016953722e+06 7.9677068959591258e+06 7.4420687584985336e+06 6.9701643617551047e+06 6.5519753952690549e+06 6.1848027524365643e+06 5.8643315428050924e+06 5.5855452733215764e+06 5.3431898878744086e+06 5.1323486276638405e+06 4.9485911075452734e+06 4.7882588487317888e+06 4.6481423251746837e+06 4.5257552173629785e+06 4.4188588264752515e+06 4.3258348659528596e+06 4.2451166056761704e+06 4.1754040581457475e+06 4.1156856950041037e+06 4.0649146969584296e+06 4.0220802952898643e+06 3.9864363940733406e+06 3.9570708802609351e+06 3.9332982387442854e+06 3.9143414011476724e+06 3.8995188349933433e+06 3.8879159757279200e+06 3.8786479735929207e+06 3.8710393572458536e+06 3.8644575917851208e+06 3.8582949085995192e+06 3.8539495902614761e+06 3.8495670252236975e+06 3.8450974177953107e+06 3.8404167442861777e+06 3.8355883830635035e+06 3.8304751185328700e+06 3.8252402589523881e+06 3.8194293903065748e+06 3.8132104679207625e+06 3.8064690439055585e+06 3.7991157481371807e+06 3.7910419816174493e+06 3.7821254048662977e+06 3.7721919979676567e+06 3.7612546512865196e+06 3.7489104316435629e+06 3.7350703287831354e+06 3.7195335170002286e+06 3.7020838771880600e+06 3.6824985350091262e+06 3.6605539400513181e+06 3.6360045412186338e+06 3.6088768656574041e+06 3.5787058243846097e+06 3.5455910035834094e+06 3.5096090143020605e+06 3.4710420917673991e+06 3.4303704375603646e+06 3.3885080589119713e+06 3.3468166032260251e+06 3.3075175233867341e+06 3.2734200634701443e+06 3.2489071997363358e+06 3.2400909683232219e+06 3.2558492562419423e+06 3.3091059044576418e+06 3.4194451737095495e+06 3.6178704967535497e+06 3.9566112553383578e+06 5.0051506746810855e+05 +1.4269656552184772e+01 1.8263755326975148e+07 1.8261873179605685e+07 1.8258660464854028e+07 1.8254274244585741e+07 1.8249495109068330e+07 1.8245661121485379e+07 1.8243421019466065e+07 1.8241723360855199e+07 1.8239405160085376e+07 1.8236095740546305e+07 1.8231766503489342e+07 1.8226272481110934e+07 1.8219394205120474e+07 1.8210893205098517e+07 1.8200509136931218e+07 1.8187931180968363e+07 1.8172785881601471e+07 1.8154634749043122e+07 1.8132965302998282e+07 1.8107177158143327e+07 1.8076570781947214e+07 1.8040320106600698e+07 1.7997310021616843e+07 1.7945626852166671e+07 1.7883081324787185e+07 1.7808586481227465e+07 1.7721079565630108e+07 1.7618820728146762e+07 1.7499674146980166e+07 1.7361249882459644e+07 1.7200936179232102e+07 1.7015924554408833e+07 1.6803253279143438e+07 1.6559876506158106e+07 1.6282766668781443e+07 1.5969052456199212e+07 1.5616201702106746e+07 1.5222246573837072e+07 1.4786050364733510e+07 1.4307597813338337e+07 1.3748050344373602e+07 1.3145277513262866e+07 1.2505688162691399e+07 1.1838227441030508e+07 1.1154126379374653e+07 1.0466312640620207e+07 9.7885016024814695e+06 9.1340676958533134e+06 8.5148793432438169e+06 7.9402570511480737e+06 7.4163283927212972e+06 6.9459810482439082e+06 6.5291892484528432e+06 6.1632561986453496e+06 5.8438759891611980e+06 5.5660448565206658e+06 5.3245236039407402e+06 5.1144102615288859e+06 4.9312883900912600e+06 4.7715113493829044e+06 4.6318802899206588e+06 4.5099172705577267e+06 4.4033912630525315e+06 4.3106895432436075e+06 4.2302508224496460e+06 4.1607796406133831e+06 4.1012679876136691e+06 4.0506727070251978e+06 4.0079865594294611e+06 3.9724660439224821e+06 3.9432022353007938e+06 3.9195119841535646e+06 3.9006209164544838e+06 3.8858498449243689e+06 3.8742873632536079e+06 3.8650516848233310e+06 3.8574696549881673e+06 3.8509109195925156e+06 3.8447698234518399e+06 3.8404397339198021e+06 3.8360725306715299e+06 3.8316185911813541e+06 3.8269543258806155e+06 3.8221428906949894e+06 3.8170475530965673e+06 3.8118310381664936e+06 3.8060405397237805e+06 3.7998434179451433e+06 3.7931256261286223e+06 3.7857981074309489e+06 3.7777526435458241e+06 3.7688673238457954e+06 3.7589687405500752e+06 3.7480697283283058e+06 3.7357687811455950e+06 3.7219771944803442e+06 3.7064948466117918e+06 3.6891063760301499e+06 3.6695896896761060e+06 3.6477220207875296e+06 3.6232586810818389e+06 3.5962260946118459e+06 3.5661608168826192e+06 3.5331620789279188e+06 3.4973062232479891e+06 3.4588744957052032e+06 3.4183454145665201e+06 3.3766297830477185e+06 3.3350844772319002e+06 3.2959231535075470e+06 3.2619452212366397e+06 3.2375182867582780e+06 3.2287329625246874e+06 3.2444360108586582e+06 3.2975059695893708e+06 3.4074584485797249e+06 3.6051882020933996e+06 3.9427415111535373e+06 4.9855508307719510e+05 +1.4274624874959031e+01 1.8207367301659603e+07 1.8205490936693754e+07 1.8202287927667443e+07 1.8197914905899722e+07 1.8193149849997561e+07 1.8189326609871283e+07 1.8187091906363532e+07 1.8185397593736395e+07 1.8183084255213574e+07 1.8179782262530204e+07 1.8175462999768812e+07 1.8169981844652772e+07 1.8163119887036588e+07 1.8154639250254728e+07 1.8144280230821025e+07 1.8131732780945946e+07 1.8116624371448394e+07 1.8098517597364113e+07 1.8076901247140493e+07 1.8051176427211847e+07 1.8020645347667020e+07 1.7984484008260898e+07 1.7941580116810683e+07 1.7890024836802363e+07 1.7827634324218340e+07 1.7753324359766040e+07 1.7666035045153584e+07 1.7564031112426624e+07 1.7445182366626918e+07 1.7307105240374774e+07 1.7147195056715559e+07 1.6962651099603876e+07 1.6750520039978134e+07 1.6507764950069662e+07 1.6231367509487845e+07 1.5918465697130289e+07 1.5566536270623721e+07 1.5173619413817873e+07 1.4738584834161939e+07 1.4261421259426450e+07 1.3703401333972065e+07 1.3102298897302676e+07 1.2464510952448398e+07 1.1798962961103464e+07 1.1116858290416621e+07 1.0431089823243070e+07 9.7553330366361421e+06 9.1029203760119695e+06 8.4856798515183423e+06 7.9128969576464100e+06 7.3906726463293349e+06 6.9218775848460672e+06 6.5064785967914090e+06 6.1417812188694850e+06 5.8234885168873342e+06 5.5466094347988376e+06 5.3059196010357905e+06 5.0965317963041887e+06 4.9140434882122902e+06 4.7548198403496537e+06 4.6156726470524753e+06 4.4941323193593491e+06 4.3879754749803450e+06 4.2955949342454812e+06 4.2154348320561294e+06 4.1462042208699263e+06 4.0868985972343599e+06 4.0364784554048828e+06 3.9939400735382778e+06 3.9585425371770137e+06 3.9293800983521808e+06 3.9057719655988063e+06 3.8869464503421374e+06 3.8722267028625472e+06 3.8607044647152661e+06 3.8515010023261234e+06 3.8439454702207264e+06 3.8374096878290852e+06 3.8312901063951924e+06 3.8269751946053389e+06 3.8226233016199735e+06 3.8181849775144202e+06 3.8135370653785593e+06 3.8087424994527814e+06 3.8036650286405166e+06 3.7984667968546348e+06 3.7926966002846216e+06 3.7865212059794539e+06 3.7798269670882556e+06 3.7725251389983725e+06 3.7645078828072641e+06 3.7556537153069722e+06 3.7457898387967250e+06 3.7349290324696447e+06 3.7226712125937399e+06 3.7089279793813247e+06 3.6934999127332885e+06 3.6761724061978911e+06 3.6567241453708080e+06 3.6349331445100522e+06 3.6105555752479853e+06 3.5836177589305448e+06 3.5536578899746686e+06 3.5207748454824775e+06 3.4850447002999703e+06 3.4467477142564962e+06 3.4063607279415764e+06 3.3647913513066517e+06 3.3233917051099148e+06 3.2843676754381084e+06 3.2505088698748527e+06 3.2261675764078437e+06 3.2174130556695820e+06 3.2330610497108912e+06 3.2859449451891496e+06 3.3955119313541404e+06 3.5925484485265897e+06 3.9289182912393743e+06 4.9660259326308221e+05 +1.4279593197733290e+01 1.8151140299881160e+07 1.8149269725293752e+07 1.8146076401314378e+07 1.8141716541240875e+07 1.8136965528228901e+07 1.8133153008728843e+07 1.8130923693811346e+07 1.8129232724094138e+07 1.8126924241618831e+07 1.8123629663977291e+07 1.8119320358404480e+07 1.8113852047555130e+07 1.8107006378215753e+07 1.8098546066294543e+07 1.8088212047602549e+07 1.8075695044700421e+07 1.8060623452911235e+07 1.8042560949920528e+07 1.8020997590376582e+07 1.7995335969436344e+07 1.7964880036252014e+07 1.7928807853895973e+07 1.7886009942619372e+07 1.7834582294060744e+07 1.7772346482740197e+07 1.7698221022761583e+07 1.7611148866849989e+07 1.7509399318754643e+07 1.7390847797925442e+07 1.7253117094939549e+07 1.7093609594980996e+07 1.6909532330491189e+07 1.6697940351652430e+07 1.6455805627650075e+07 1.6180119059720153e+07 1.5868027890203051e+07 1.5517017773305293e+07 1.5125136881837621e+07 1.4691261311092885e+07 1.4215383754828680e+07 1.3658887797943646e+07 1.3059451759548847e+07 1.2423460807762498e+07 1.1759820742570009e+07 1.1079707315947408e+07 1.0395978704409301e+07 9.7222705811058022e+06 9.0718735199590027e+06 8.4565752406171504e+06 7.8856263432790069e+06 7.3651012606550520e+06 6.8978537258612709e+06 6.4838432067442872e+06 6.1203775907897446e+06 5.8031689138407875e+06 5.5272388051464288e+06 5.2873776842788300e+06 5.0787130442935629e+06 4.8968562205488877e+06 4.7381841458364772e+06 4.5995192256508023e+06 4.4784001971206348e+06 4.3726112993569234e+06 4.2805508793012602e+06 4.2006684776609326e+06 4.1316776445249729e+06 4.0725773715657103e+06 4.0223317915714560e+06 3.9799406885896577e+06 3.9446657260627383e+06 3.9156043226680392e+06 3.8920780371653987e+06 3.8733178575794771e+06 3.8586492641000440e+06 3.8471671358183464e+06 3.8379957821469540e+06 3.8304666592594474e+06 3.8239537530615544e+06 3.8178556142226546e+06 3.8135558292693482e+06 3.8092191951885493e+06 3.8047964340764806e+06 3.8001648202380966e+06 3.7953870669739940e+06 3.7903274029961461e+06 3.7851473930373765e+06 3.7793974302225607e+06 3.7732436904948675e+06 3.7665729255067096e+06 3.7592967018253068e+06 3.7513075586893344e+06 3.7424844388732379e+06 3.7326551526867044e+06 3.7218324241036931e+06 3.7096175868434799e+06 3.6959225448538875e+06 3.6805485773091973e+06 3.6632818302802052e+06 3.6439017654077406e+06 3.6221871753536398e+06 3.5978950887609776e+06 3.5710517246646080e+06 3.5411969108312055e+06 3.5084291716412269e+06 3.4728243151959404e+06 3.4346616185867540e+06 3.3944162503612232e+06 3.3529926379190478e+06 3.3117381626383956e+06 3.2728509664177010e+06 3.2391108878832180e+06 3.2148549480969631e+06 3.2061311274998556e+06 3.2217242519531497e+06 3.2744227084272206e+06 3.3836054951127195e+06 3.5799511017667297e+06 3.9151414487371715e+06 4.9465757021724910e+05 +1.4284561520507548e+01 1.8095073979073368e+07 1.8093209081079800e+07 1.8090025481323302e+07 1.8085678744603582e+07 1.8080941737866979e+07 1.8077139911858283e+07 1.8074915975657135e+07 1.8073228345717896e+07 1.8070924713094272e+07 1.8067637538674500e+07 1.8063338173192911e+07 1.8057882683606114e+07 1.8051053272475615e+07 1.8042613247072540e+07 1.8032304181176804e+07 1.8019817566187676e+07 1.8004782720001157e+07 1.7986764400828756e+07 1.7965253926925223e+07 1.7939655379170906e+07 1.7909274442230713e+07 1.7873291238244634e+07 1.7830599094000380e+07 1.7779298819187067e+07 1.7717217395969614e+07 1.7643276066260349e+07 1.7556420627242383e+07 1.7454924944278780e+07 1.7336670038750257e+07 1.7199285044911921e+07 1.7040179393770002e+07 1.6856567848009586e+07 1.6645513816570174e+07 1.6403998143009434e+07 1.6129020925638326e+07 1.5817738643995324e+07 1.5467645821564831e+07 1.5076798592717038e+07 1.4644079414344558e+07 1.4169484923037710e+07 1.3614509365730928e+07 1.3016735736391747e+07 1.2382537373077437e+07 1.1720800439138176e+07 1.1042673120047761e+07 1.0360978959696176e+07 9.6893139239357710e+06 9.0409268289268166e+06 8.4275652253900524e+06 7.8584449366143122e+06 7.3396139777453467e+06 6.8739092262551757e+06 6.4612828454423742e+06 6.0990450927083027e+06 5.7829169684862662e+06 5.5079327651334638e+06 5.2688976593372710e+06 5.0609538183291908e+06 4.8797264062484335e+06 4.7216040905332994e+06 4.5834198552835779e+06 4.4627207376721725e+06 4.3572985737428274e+06 4.2655572192269200e+06 4.1859516028906316e+06 4.1171997576401527e+06 4.0583041587456786e+06 4.0082325654328228e+06 3.9659882559827240e+06 3.9308354632282848e+06 3.9018747619261481e+06 3.8784300533693610e+06 3.8597349933439223e+06 3.8451173843439710e+06 3.8336752326885490e+06 3.8245358807450444e+06 3.8170330788458632e+06 3.8105429722667360e+06 3.8044662041421700e+06 3.8001814952807012e+06 3.7958600689039701e+06 3.7914528185572079e+06 3.7868374483270552e+06 3.7820764513046858e+06 3.7770345343927355e+06 3.7718726851398945e+06 3.7661428881810955e+06 3.7600107303663180e+06 3.7533633605058827e+06 3.7461126553099253e+06 3.7381515308894506e+06 3.7293593545706621e+06 3.7195645426242403e+06 3.7087797640327448e+06 3.6966077651458890e+06 3.6829607526609781e+06 3.6676407026796257e+06 3.6504345112658264e+06 3.6311224135035761e+06 3.6094839778415281e+06 3.5852770870534871e+06 3.5585278582513705e+06 3.5287777470052023e+06 3.4961249261881243e+06 3.4606449380446123e+06 3.4226160802358645e+06 3.3825118548689783e+06 3.3412335174766057e+06 3.3001237259551315e+06 3.2613729040319799e+06 3.2277511541120200e+06 3.2035802815864771e+06 3.1948870580967539e+06 3.2104254970915630e+06 3.2629391368400147e+06 3.3717390133060869e+06 3.5673960279189455e+06 3.9014108372142715e+06 4.9271998623035540e+05 +1.4289529843281807e+01 1.8039167962727070e+07 1.8037308666187651e+07 1.8034134765578076e+07 1.8029801111031562e+07 1.8025078073851705e+07 1.8021286913877383e+07 1.8019068346520398e+07 1.8017384053224634e+07 1.8015085264255062e+07 1.8011805481205903e+07 1.8007516038737353e+07 1.8002073347443812e+07 1.7995260164458346e+07 1.7986840387244809e+07 1.7976556226268716e+07 1.7964099940170545e+07 1.7949101767582994e+07 1.7931127545017961e+07 1.7909669851823986e+07 1.7884134251584530e+07 1.7853828160921533e+07 1.7817933756809648e+07 1.7775347166703001e+07 1.7724174008244604e+07 1.7662246660329789e+07 1.7588489087095812e+07 1.7501849923698083e+07 1.7400607586966380e+07 1.7282648687786307e+07 1.7145608689802259e+07 1.6986904053664163e+07 1.6803757253943738e+07 1.6593240037963236e+07 1.6352342101091770e+07 1.6078072714216899e+07 1.5767597567892667e+07 1.5418420027675647e+07 1.5028604162103109e+07 1.4597038763548711e+07 1.4123724388427876e+07 1.3570265667596126e+07 1.2974150465056878e+07 1.2341740293681558e+07 1.1681901705282237e+07 1.1005755367621794e+07 1.0326090265505057e+07 9.6564627539642565e+06 9.0100800049182381e+06 8.3986495214306396e+06 7.8313524669438908e+06 7.3142105403399654e+06 6.8500438416932197e+06 6.4387972806375166e+06 6.0777835035590315e+06 5.7627324698812058e+06 5.4886911129042981e+06 5.2504793324382203e+06 5.0432539317786470e+06 4.8626538649769519e+06 4.7050794996427344e+06 4.5673743660071651e+06 4.4470937753244955e+06 4.3420371361619839e+06 4.2506137952801194e+06 4.1712840518167992e+06 4.1027704067053823e+06 4.0440788073474499e+06 3.9941806273269583e+06 3.9520826275514234e+06 3.9170516017433307e+06 3.8881912702240646e+06 3.8648278691408029e+06 3.8461977132363925e+06 3.8316309197212225e+06 3.8202286118687955e+06 3.8111211549930079e+06 3.8036445861305157e+06 3.7971772028352227e+06 3.7911217337712524e+06 3.7868520504138134e+06 3.7825457807050934e+06 3.7781539890709296e+06 3.7735548079217924e+06 3.7688105109004490e+06 3.7637862814743794e+06 3.7586425320057562e+06 3.7529328332153293e+06 3.7468221848699600e+06 3.7401981316137230e+06 3.7329728592554908e+06 3.7250396595097524e+06 3.7162783228230509e+06 3.7065178693976179e+06 3.6957709134493698e+06 3.6836416091561508e+06 3.6700424649718041e+06 3.6547761515830010e+06 3.6376303125354266e+06 3.6183859537598467e+06 3.5968234168856298e+06 3.5727014359466275e+06 3.5460460265113483e+06 3.5164002664312269e+06 3.4838619782778714e+06 3.4485064393329415e+06 3.4106109711080440e+06 3.3706474148745933e+06 3.3295138649326330e+06 3.2885482715482549e+06 3.2499333662270894e+06 3.2164295477670892e+06 3.1923434569805134e+06 3.1836807278935029e+06 3.1991646649692697e+06 3.2514941083098408e+06 3.3599123597433181e+06 3.5548830934724240e+06 3.8877263106592651e+06 4.9078981369190582e+05 +1.4294498166056066e+01 1.7983421730055265e+07 1.7981568099771570e+07 1.7978403851312242e+07 1.7974083236454736e+07 1.7969374131928410e+07 1.7965593610271897e+07 1.7963380401851956e+07 1.7961699442030549e+07 1.7959405490470704e+07 1.7956133086979836e+07 1.7951853550448917e+07 1.7946423634469468e+07 1.7939626649606146e+07 1.7931227082298160e+07 1.7920967778382227e+07 1.7908541762210321e+07 1.7893580191273030e+07 1.7875649978233371e+07 1.7854244960934188e+07 1.7828772182660159e+07 1.7798540788479086e+07 1.7762735005954608e+07 1.7720253757319573e+07 1.7669207458085664e+07 1.7607433873027127e+07 1.7533859682929456e+07 1.7447436354384225e+07 1.7346446845571861e+07 1.7228783344530135e+07 1.7092087629999544e+07 1.6933783176040277e+07 1.6751100150900856e+07 1.6541118619872816e+07 1.6300837107657328e+07 1.6027274033238947e+07 1.5717604272123396e+07 1.5369340004733467e+07 1.4980553206475290e+07 1.4550138979200304e+07 1.4078101776158715e+07 1.3526156334668057e+07 1.2931695583616097e+07 1.2301069215696240e+07 1.1643124196381979e+07 1.0968953724398341e+07 1.0291312299036132e+07 9.6237167608214598e+06 8.9793327507151775e+06 8.3698278450941024e+06 7.8043486642918987e+06 7.2888906918886090e+06 6.8262573284954559e+06 6.4163862807414914e+06 6.0565926028736336e+06 5.7426152076746691e+06 5.4695136471679239e+06 5.2321225103483200e+06 5.0256131985389534e+06 4.8456384169105515e+06 4.6886101988598155e+06 4.5513825883632563e+06 4.4315191448566867e+06 4.3268268251046333e+06 4.2357204491783157e+06 4.1566656689586146e+06 4.0883894386592181e+06 4.0299011663785274e+06 3.9801758280220479e+06 3.9382236555540217e+06 3.9033139951049183e+06 3.8745537020789916e+06 3.8512713398279240e+06 3.8327058732715431e+06 3.8181897267679758e+06 3.8068271303062737e+06 3.7977514621779891e+06 3.7903010386713850e+06 3.7838563025706364e+06 3.7778220611375454e+06 3.7735673528634082e+06 3.7692761889427193e+06 3.7648998041235991e+06 3.7603167577102948e+06 3.7555891046238756e+06 3.7505825033008596e+06 3.7454567928724647e+06 3.7397671247814018e+06 3.7336779136953438e+06 3.7270770987673001e+06 3.7198771738674901e+06 3.7119718050468937e+06 3.7032412044661311e+06 3.6935149942068360e+06 3.6828057339568357e+06 3.6707189809251465e+06 3.6571675443443432e+06 3.6419547871522671e+06 3.6248690978679252e+06 3.6056922506728326e+06 3.5842053577951407e+06 3.5601680016455743e+06 3.5336060966496072e+06 3.5040643374274280e+06 3.4716401974442406e+06 3.4364086899178908e+06 3.3986461634841845e+06 3.3588228041498046e+06 3.3178335556042478e+06 3.2770116762678432e+06 3.2385322312958785e+06 3.2051459483934776e+06 3.1811443547312538e+06 3.1725120176662258e+06 3.1879416357846577e+06 3.2400875010707509e+06 3.3481254086014614e+06 3.5424121653016661e+06 3.8740877234849785e+06 4.8886702508991817e+05 +1.4299466488830324e+01 1.7927834957160678e+07 1.7925986947685268e+07 1.7922832333322484e+07 1.7918524717602301e+07 1.7913829508590769e+07 1.7910059597292528e+07 1.7907851737855893e+07 1.7906174108353298e+07 1.7903884987963993e+07 1.7900619952211417e+07 1.7896350304529250e+07 1.7890933140909322e+07 1.7884152324160013e+07 1.7875772928491987e+07 1.7865538433826394e+07 1.7853142628691155e+07 1.7838217587535422e+07 1.7820331296975106e+07 1.7798978850884363e+07 1.7773568769170176e+07 1.7743411921827905e+07 1.7707694582787596e+07 1.7665318463233612e+07 1.7614398766404480e+07 1.7552778632121079e+07 1.7479387452212360e+07 1.7393179518269870e+07 1.7292442319700062e+07 1.7175073609300386e+07 1.7038721466665518e+07 1.6880816363105010e+07 1.6698596142284555e+07 1.6489149167160502e+07 1.6249482769291744e+07 1.5976624491360527e+07 1.5667758367730182e+07 1.5320405366650006e+07 1.4932645343164181e+07 1.4503379682620626e+07 1.4032616712248683e+07 1.3482180998884186e+07 1.2889370730961937e+07 1.2260523786075363e+07 1.1604467568583280e+07 1.0932267856926326e+07 1.0256644738312120e+07 9.5910756349359713e+06 8.9486847698744405e+06 8.3410999134958880e+06 7.7774332593969740e+06 7.2636541765316799e+06 6.8025494436462959e+06 6.3940496148090027e+06 6.0354721708173966e+06 5.7225649721050775e+06 5.4504001672058627e+06 5.2138270003942503e+06 5.0080314330401672e+06 4.8286798827431723e+06 4.6721960143784238e+06 4.5354443533745501e+06 4.4159966815231834e+06 4.3116674795273133e+06 4.2208770230965065e+06 4.1420962992815557e+06 4.0740567008821177e+06 4.0157710852836859e+06 3.9662180187200783e+06 3.9244111926653245e+06 3.8896224972258997e+06 3.8609619124289583e+06 3.8377603211974222e+06 3.8192593298776452e+06 3.8047936624378408e+06 3.7934706453656238e+06 3.7844266599953729e+06 3.7770022944442458e+06 3.7705801296834713e+06 3.7645670446781795e+06 3.7603272612192682e+06 3.7560511523735151e+06 3.7516901226396933e+06 3.7471231567846783e+06 3.7424120917469952e+06 3.7374230593213979e+06 3.7323153273933781e+06 3.7266456227419428e+06 3.7205777769352859e+06 3.7140001223072661e+06 3.7068254597506416e+06 3.6989478284050222e+06 3.6902478607250950e+06 3.6805557786482191e+06 3.6698840875495486e+06 3.6578397429062566e+06 3.6443358537404514e+06 3.6291764729189132e+06 3.6121507314298768e+06 3.5930411691354448e+06 3.5716296662589707e+06 3.5476766507477928e+06 3.5212079362557838e+06 3.4917698286828408e+06 3.4594594535995764e+06 3.4243515610279813e+06 3.3867215300086709e+06 3.3470378968344224e+06 3.3061924651628742e+06 3.2655138173177759e+06 3.2271693778816722e+06 3.1939002358873570e+06 3.1699828556314763e+06 3.1613808085336452e+06 3.1767562900797259e+06 3.2287191937114266e+06 3.3363780344193773e+06 3.5299831106640939e+06 3.8604949305167347e+06 4.8695159301058977e+05 +1.4304434811604583e+01 1.7872407171198815e+07 1.7870564837601990e+07 1.7867419804669760e+07 1.7863125151887868e+07 1.7858443801019724e+07 1.7854684472069386e+07 1.7852481951600082e+07 1.7850807649191394e+07 1.7848523353742141e+07 1.7845265673870247e+07 1.7841005897981361e+07 1.7835601463773325e+07 1.7828836785150629e+07 1.7820477522912852e+07 1.7810267789722726e+07 1.7797902136781257e+07 1.7783013553605013e+07 1.7765171098627321e+07 1.7743871119125459e+07 1.7718523608701319e+07 1.7688441158745047e+07 1.7652812085291192e+07 1.7610540882620197e+07 1.7559747531663943e+07 1.7498280536406629e+07 1.7425071994227927e+07 1.7339079015138019e+07 1.7238593609745599e+07 1.7121519083221018e+07 1.6985509801789742e+07 1.6828003217861183e+07 1.6646244832335791e+07 1.6437331285518175e+07 1.6198278693409255e+07 1.5926123698013272e+07 1.5618059466602031e+07 1.5271615728170620e+07 1.4884880190311911e+07 1.4456760495968528e+07 1.3987268823567940e+07 1.3438339293046724e+07 1.2847175546828777e+07 1.2220103652607584e+07 1.1565931478885751e+07 1.0895697432564367e+07 1.0222087262152830e+07 9.5585390675327573e+06 8.9181357667210810e+06 8.3124654444845151e+06 7.7506059837391293e+06 7.2385007391091529e+06 6.7789199448229419e+06 6.3717870525363954e+06 6.0144219881721642e+06 5.7025815540093100e+06 5.4313504728679797e+06 5.1955926104369676e+06 4.9905084502373012e+06 4.8117780836739894e+06 4.6558367728951415e+06 4.5195594925512159e+06 4.4005262210553968e+06 4.2965589388420628e+06 4.2060833596620532e+06 4.1275757881983854e+06 4.0597720411919057e+06 4.0016884139397405e+06 3.9523070510500786e+06 3.9106450919973236e+06 3.8759769624485467e+06 3.8474157566292849e+06 3.8242946694321544e+06 3.8058579398996076e+06 3.7914425840979996e+06 3.7801590148264710e+06 3.7711466065551434e+06 3.7637482118310705e+06 3.7573485427965405e+06 3.7513565432400652e+06 3.7471316344896988e+06 3.7428705301642376e+06 3.7385248039458748e+06 3.7339738646434825e+06 3.7292793319459781e+06 3.7243078094033217e+06 3.7192179956251923e+06 3.7135681873649447e+06 3.7075216350823720e+06 3.7009670629724711e+06 3.6938175779177491e+06 3.6859675908989352e+06 3.6772981532361787e+06 3.6676400847138199e+06 3.6570058366246768e+06 3.6450037579450030e+06 3.6315472565116538e+06 3.6164410728023387e+06 3.5994750777825080e+06 3.5804325744171417e+06 3.5590962083561802e+06 3.5352272502277419e+06 3.5088514132989813e+06 3.4795166092777192e+06 3.4473196170279318e+06 3.4123349242683435e+06 3.3748369436958837e+06 3.3352925674283644e+06 3.2945904696424492e+06 3.2540545722569358e+06 3.2158446849826775e+06 3.1826922904954855e+06 3.1588588408230469e+06 3.1502869819590240e+06 3.1656085087410905e+06 3.2173890651683304e+06 3.3246701120996517e+06 3.5175957972038658e+06 3.8469477870081365e+06 4.8504349013796478e+05 +1.4309403134378842e+01 1.7817138150691215e+07 1.7815301370920777e+07 1.7812165860760059e+07 1.7807884137399834e+07 1.7803216607068874e+07 1.7799467832525693e+07 1.7797270640899979e+07 1.7795599662373506e+07 1.7793320185601629e+07 1.7790069849782031e+07 1.7785819928617738e+07 1.7780428200903244e+07 1.7773679630429909e+07 1.7765340463418830e+07 1.7755155444002539e+07 1.7742819884454623e+07 1.7727967687532045e+07 1.7710168981290750e+07 1.7688921363895684e+07 1.7663636299646724e+07 1.7633628097750332e+07 1.7598087112193190e+07 1.7555920614472106e+07 1.7505253353148576e+07 1.7443939185554650e+07 1.7370912909031939e+07 1.7285134445571937e+07 1.7184900316897940e+07 1.7068119368204858e+07 1.6932452238169998e+07 1.6775343344132865e+07 1.6594045826115387e+07 1.6385664581434751e+07 1.6147224488221796e+07 1.5875771263478549e+07 1.5568507181431815e+07 1.5222970704895778e+07 1.4837257366896277e+07 1.4410281042211093e+07 1.3942057737801885e+07 1.3394630850771060e+07 1.2805109671782410e+07 1.2179808463915458e+07 1.1527515585122107e+07 1.0859242119500402e+07 1.0187639550173461e+07 9.5261067506064195e+06 8.8876854463560395e+06 8.2839241566656828e+06 7.7238665695033967e+06 7.2134301251666164e+06 6.7553685903451536e+06 6.3495983642526343e+06 5.9934418363178018e+06 5.6826647448042221e+06 5.4123643645712454e+06 5.1774191488920525e+06 4.9730440656148326e+06 4.7949328414202081e+06 4.6395323015921684e+06 4.5037278378867321e+06 4.3851075996485259e+06 4.2815010429288326e+06 4.1913393019520463e+06 4.1131039815637823e+06 4.0455353078381079e+06 3.9876530026541660e+06 3.9384427770662992e+06 3.8969252070767540e+06 3.8623772455295837e+06 3.8339150904535595e+06 3.8108742411252558e+06 3.7925015605970896e+06 3.7781363495257609e+06 3.7668920968754366e+06 3.7579111603728174e+06 3.7505386496200715e+06 3.7441614009388280e+06 3.7381904160749600e+06 3.7339803320850316e+06 3.7297341818830436e+06 3.7254037077786196e+06 3.7208687411944279e+06 3.7161906852978617e+06 3.7112366138140573e+06 3.7061646580219558e+06 3.7005346793210446e+06 3.6945093490370768e+06 3.6879777819063007e+06 3.6808533897820902e+06 3.6730309542243448e+06 3.6643919440338095e+06 3.6547677748020370e+06 3.6441708439736823e+06 3.6322108892843565e+06 3.6188016164047788e+06 3.6037484511184627e+06 3.5868420018734518e+06 3.5678663321873550e+06 3.5466048505555536e+06 3.5228196674494422e+06 3.4965363961326452e+06 3.4673045486623384e+06 3.4352205583883389e+06 3.4003586516117365e+06 3.3629922779216953e+06 3.3235866907962798e+06 3.2830274454321894e+06 3.2426338189946818e+06 3.2045580319424937e+06 3.1715219928025808e+06 3.1477721917898911e+06 3.1392304197453395e+06 3.1544981729950546e+06 3.2060969947311492e+06 3.3130015169016658e+06 3.5052500929446071e+06 3.8334461486198534e+06 4.8314268925360497e+05 +1.4314371457153101e+01 1.7762027241938092e+07 1.7760196098710194e+07 1.7757070102005113e+07 1.7752801272938441e+07 1.7748147525277607e+07 1.7744409277370848e+07 1.7742217404405493e+07 1.7740549746495787e+07 1.7738275082134385e+07 1.7735032078527547e+07 1.7730791995056778e+07 1.7725412950897489e+07 1.7718680458651036e+07 1.7710361348699082e+07 1.7700200995363735e+07 1.7687895470494032e+07 1.7673079588164397e+07 1.7655324543919049e+07 1.7634129184274219e+07 1.7608906441178281e+07 1.7578972338212062e+07 1.7543519263039730e+07 1.7501457258572407e+07 1.7450915830939159e+07 1.7389754180014178e+07 1.7316909797506247e+07 1.7231345410984702e+07 1.7131362043177206e+07 1.7014874067017417e+07 1.6879548379401993e+07 1.6722836346572455e+07 1.6541998729459064e+07 1.6334148662243206e+07 1.6096319762780339e+07 1.5825566798858305e+07 1.5519101125757454e+07 1.5174469913209461e+07 1.4789776492722696e+07 1.4363940945185836e+07 1.3896983083464434e+07 1.3351055306512497e+07 1.2763172747242102e+07 1.2139637869445670e+07 1.1489219545940308e+07 1.0822901586726425e+07 1.0153301282811807e+07 9.4937783769657426e+06 8.8573335146413371e+06 8.2554757693807287e+06 7.6972147496131770e+06 7.1884420809280723e+06 6.7318951392275169e+06 6.3274833209425695e+06 5.9725314972760892e+06 5.6628143365043337e+06 5.3934416432965454e+06 5.1593064247186407e+06 4.9556380951794237e+06 4.7781439782022033e+06 4.6232824281532131e+06 4.4879492218569713e+06 4.3697406539737778e+06 4.2664936321200961e+06 4.1766446934935469e+06 4.0986807256780476e+06 4.0313463495164500e+06 3.9736647021681913e+06 3.9246250492491229e+06 3.8832513918586951e+06 3.8488232016445091e+06 3.8204597700872710e+06 3.7974988932924867e+06 3.7791900496386075e+06 3.7648748169031474e+06 3.7536697501053251e+06 3.7447201803750317e+06 3.7373734670143952e+06 3.7310185635484927e+06 3.7250685228440105e+06 3.7208732138243965e+06 3.7166419675085517e+06 3.7123266942760563e+06 3.7078076467451854e+06 3.7031460122956713e+06 3.6982093332260600e+06 3.6931551754483609e+06 3.6875449596816311e+06 3.6815407800961589e+06 3.6750321406530333e+06 3.6679327571542640e+06 3.6601377804938876e+06 3.6515290955446917e+06 3.6419387117012669e+06 3.6313789727890552e+06 3.6194610005631791e+06 3.6060987975655459e+06 3.5910984725725395e+06 3.5742513690508581e+06 3.5553423084990238e+06 3.5341554597065169e+06 3.5104537701573879e+06 3.4842627534854207e+06 3.4551335166644375e+06 3.4231621487166462e+06 3.3884226153967725e+06 3.3511874064340657e+06 3.3119201421611821e+06 3.2715032692805729e+06 3.2312514357973929e+06 3.1933092984547894e+06 3.1603892237433544e+06 3.1367227903566090e+06 3.1282110040386049e+06 3.1434251644164082e+06 3.1948428620348703e+06 3.3013721244472172e+06 3.4929458662857534e+06 3.8199898714388618e+06 4.8124916323626030e+05 +1.4319339779927359e+01 1.7707074074013323e+07 1.7705248614548620e+07 1.7702132130725440e+07 1.7697876158002168e+07 1.7693236154853873e+07 1.7689508406166323e+07 1.7687321841553900e+07 1.7685657501008909e+07 1.7683387642765794e+07 1.7680151959527701e+07 1.7675921696689159e+07 1.7670555313197423e+07 1.7663838869236719e+07 1.7655539778232541e+07 1.7645404043338448e+07 1.7633128494465481e+07 1.7618348855151854e+07 1.7600637386248138e+07 1.7579494180090580e+07 1.7554333633305427e+07 1.7524473480281487e+07 1.7489108138194427e+07 1.7447150415522665e+07 1.7396734565935839e+07 1.7335725121015429e+07 1.7263062261357576e+07 1.7177711513569765e+07 1.7077978391403504e+07 1.6961782783186894e+07 1.6826797829910170e+07 1.6670481830620576e+07 1.6490103149069836e+07 1.6282783136063021e+07 1.6045564126962263e+07 1.5775509916056680e+07 1.5469840913926970e+07 1.5126112970348015e+07 1.4742437188437972e+07 1.4317739829535088e+07 1.3852044489916990e+07 1.3307612295557506e+07 1.2721364415429059e+07 1.2099591519484641e+07 1.1451043020810602e+07 1.0786675504063642e+07 1.0119072141307080e+07 9.4615536401795503e+06 8.8270796782115251e+06 8.2271200027355235e+06 7.6706502576978486e+06 7.1635363533218689e+06 6.7084993511238405e+06 6.3054416942143487e+06 5.9516907536499128e+06 5.6430301217087070e+06 5.3745821105906432e+06 5.1412542474118434e+06 4.9382903554688366e+06 4.7614113167522801e+06 4.6070869807551559e+06 4.4722234774116622e+06 4.3544252211662522e+06 4.2515365472158501e+06 4.1619993782681688e+06 4.0843058672851827e+06 4.0172050153547362e+06 3.9597233636500970e+06 3.9108537205069028e+06 3.8696235007153265e+06 3.8353146863911571e+06 3.8070496521384795e+06 3.7841684833562640e+06 3.7659232651027315e+06 3.7516578448313922e+06 3.7404918335217256e+06 3.7315735258954684e+06 3.7242525236164168e+06 3.7179198904629471e+06 3.7119907236125944e+06 3.7078101399269765e+06 3.7035937474252763e+06 3.6992936239809976e+06 3.6947904420093196e+06 3.6901451738223932e+06 3.6852258287134077e+06 3.6801894091691095e+06 3.6745988899263106e+06 3.6686157899600733e+06 3.6621300011600279e+06 3.6550555422447347e+06 3.6472879322079211e+06 3.6387094705972760e+06 3.6291527586021777e+06 3.6186300866509252e+06 3.6067539558144691e+06 3.5934386645244230e+06 3.5784910022617090e+06 3.5617030450400128e+06 3.5428603697952465e+06 3.5217479030491910e+06 3.4981294264767887e+06 3.4720303544686958e+06 3.4430033834905778e+06 3.4111442594164354e+06 3.3765266883376264e+06 3.3394222033423525e+06 3.3002927971074847e+06 3.2600178182895114e+06 3.2199073012786601e+06 3.1820983645601990e+06 3.1492938645938281e+06 3.1257105186863341e+06 3.1172286173244789e+06 3.1323893649196583e+06 3.1836265470590154e+06 3.2897818107196763e+06 3.4806829860151433e+06 3.8065788119594930e+06 4.7936288506153895e+05 +1.4324308102701618e+01 1.7652278426673722e+07 1.7650458509675961e+07 1.7647351545659255e+07 1.7643108392890804e+07 1.7638482095725942e+07 1.7634764819231432e+07 1.7632583552561156e+07 1.7630922526090235e+07 1.7628657467684578e+07 1.7625429092969932e+07 1.7621208633727137e+07 1.7615854888017803e+07 1.7609154462450866e+07 1.7600875352287810e+07 1.7590764188253555e+07 1.7578518556756102e+07 1.7563775088949714e+07 1.7546107108824011e+07 1.7525015952011656e+07 1.7499917476801388e+07 1.7470131124917440e+07 1.7434853338832419e+07 1.7392999686728075e+07 1.7342709159823045e+07 1.7281851610643603e+07 1.7209369903061926e+07 1.7124232356321026e+07 1.7024748965182748e+07 1.6908845121079203e+07 1.6774200194939548e+07 1.6618279402544143e+07 1.6438358692434771e+07 1.6231567611867970e+07 1.5994957191431800e+07 1.5725600227833886e+07 1.5420726161102846e+07 1.5077899494388815e+07 1.4695239075501679e+07 1.4271677320741639e+07 1.3807241587350484e+07 1.3264301454039501e+07 1.2679684319417546e+07 1.2059669065132072e+07 1.1412985670032565e+07 1.0750563542136751e+07 1.0084951807682095e+07 9.4294322346236538e+06 8.7969236444672085e+06 8.1988565775582762e+06 7.6441728281139452e+06 7.1387126899671759e+06 6.6851809863708057e+06 6.2834732563263616e+06 5.9309193886745824e+06 5.6233118935973383e+06 5.3557855685589630e+06 5.1232624270252679e+06 4.9210006635377323e+06 4.7447346803074488e+06 4.5909457880669553e+06 4.4565504379853606e+06 4.3391611388307419e+06 4.2366296294658426e+06 4.1474032007049662e+06 4.0699792535653212e+06 4.0031111549117221e+06 3.9458288387033180e+06 3.8971286441688114e+06 3.8560413884387664e+06 3.8218515557784005e+06 3.7936845936244493e+06 3.7708828691512379e+06 3.7527010654810388e+06 3.7384852923169443e+06 3.7273582065384821e+06 3.7184710566737871e+06 3.7111756794361104e+06 3.7048652419318049e+06 3.6989568788496749e+06 3.6947909710237384e+06 3.6905893824131638e+06 3.6863043578413003e+06 3.6818169881041287e+06 3.6771880311689456e+06 3.6722859617494172e+06 3.6672672208457454e+06 3.6616963319246215e+06 3.6557342407288831e+06 3.6492712257680814e+06 3.6422216076621432e+06 3.6344812722687079e+06 3.6259329324159329e+06 3.6164097790858243e+06 3.6059240495384168e+06 3.5940896194620444e+06 3.5808210822061198e+06 3.5659259056754131e+06 3.5491968959616218e+06 3.5304203828994907e+06 3.5093820482037067e+06 3.4858465049205134e+06 3.4598390685730060e+06 3.4309140197191183e+06 3.3991667622672641e+06 3.3646707435128428e+06 3.3276965431201509e+06 3.2887045315821767e+06 3.2485709699174147e+06 3.2086012944045523e+06 3.1709251106441938e+06 3.1382357969752774e+06 3.1147352592890132e+06 3.1062831424305295e+06 3.1213906567616640e+06 3.1724479301365376e+06 3.2782304520572461e+06 3.4684613212987757e+06 3.7932128270998173e+06 4.7748382780158048e+05 +1.4329276425475877e+01 1.7597639813504782e+07 1.7595825420316700e+07 1.7592727942181837e+07 1.7588497578745052e+07 1.7583884948592417e+07 1.7580178117701348e+07 1.7578002138483405e+07 1.7576344422752690e+07 1.7574084157892477e+07 1.7570863079862587e+07 1.7566652407180350e+07 1.7561311276370920e+07 1.7554626839324228e+07 1.7546367671924457e+07 1.7536281031199720e+07 1.7524065258530591e+07 1.7509357890806641e+07 1.7491733312987711e+07 1.7470694101474643e+07 1.7445657573266521e+07 1.7415944873886146e+07 1.7380754466877189e+07 1.7339004674359061e+07 1.7288839215104740e+07 1.7228133251731522e+07 1.7155832325915277e+07 1.7070907543084573e+07 1.6971673368971985e+07 1.6856060685864985e+07 1.6721755080517938e+07 1.6566228669430306e+07 1.6386764967855094e+07 1.6180501699417105e+07 1.5944498567705389e+07 1.5675837347723369e+07 1.5371756483302448e+07 1.5029829104201114e+07 1.4648181776211577e+07 1.4225753045102667e+07 1.3762574006773291e+07 1.3221122418900270e+07 1.2638132103098476e+07 1.2019870158321453e+07 1.1375047154708266e+07 1.0714565372379767e+07 1.0050939964783164e+07 9.3974138554510046e+06 8.7668651215698514e+06 8.1706852154381461e+06 7.6177821959257424e+06 7.1139708391685542e+06 6.6619398059582803e+06 6.2615777801553644e+06 5.9102171861798270e+06 5.6036594459390184e+06 5.3370518198753865e+06 5.1053307741352422e+06 4.9037688369678641e+06 4.7281138926094212e+06 4.5748586792421453e+06 4.4409299374882560e+06 4.3239482450389247e+06 4.2217727205842007e+06 4.1328560056773503e+06 4.0557007321438617e+06 3.9890646181877614e+06 3.9319809793522744e+06 3.8834496739950874e+06 3.8425049102456770e+06 3.8084336662386348e+06 3.7803644519757275e+06 3.7576419089207910e+06 3.7395233096751245e+06 3.7253570187739045e+06 3.7142687289737756e+06 3.7054126328543983e+06 3.6981427948942077e+06 3.6918544786053393e+06 3.6859668494266043e+06 3.6818155681409184e+06 3.6776287336607524e+06 3.6733587572079361e+06 3.6688871465447657e+06 3.6642744460268337e+06 3.6593895942135798e+06 3.6543884725459381e+06 3.6488371479526153e+06 3.6428959949002052e+06 3.6364556772192651e+06 3.6294308164180396e+06 3.6217176639798838e+06 3.6131993446159540e+06 3.6037096371296854e+06 3.5932607258256092e+06 3.5814678563207444e+06 3.5682459159313706e+06 3.5534030486901067e+06 3.5367327883185744e+06 3.5180222150262939e+06 3.4970577631694512e+06 3.4736048743712674e+06 3.4476887656649644e+06 3.4188652963053822e+06 3.3872295294184359e+06 3.3528546543687331e+06 3.3160103006026945e+06 3.2771552218873049e+06 3.2371626019783006e+06 3.1973332944917954e+06 3.1597894174419143e+06 3.1272149028532007e+06 3.1037968950118539e+06 3.0953744625187777e+06 3.1104289225364155e+06 3.1613068919423069e+06 3.2667179251547609e+06 3.4562807416773164e+06 3.7798917741827094e+06 4.7561196462473011e+05 +1.4334244748250136e+01 1.7543157852076218e+07 1.7541348966573015e+07 1.7538260919998828e+07 1.7534043317530897e+07 1.7529444315004151e+07 1.7525747903485924e+07 1.7523577201107174e+07 1.7521922792833354e+07 1.7519667315205194e+07 1.7516453521977372e+07 1.7512252618847452e+07 1.7506924080088761e+07 1.7500255601700839e+07 1.7492016339039225e+07 1.7481954174124207e+07 1.7469768201781671e+07 1.7455096862763118e+07 1.7437515600878801e+07 1.7416528230758689e+07 1.7391553525094915e+07 1.7361914329732470e+07 1.7326811125095341e+07 1.7285164981461834e+07 1.7235124335073486e+07 1.7174569647939954e+07 1.7102449134001885e+07 1.7017736678460341e+07 1.6918751208006039e+07 1.6803429083514217e+07 1.6669462093487736e+07 1.6514329239135094e+07 1.6335321584454549e+07 1.6129585009277297e+07 1.5894187868107267e+07 1.5626220890120666e+07 1.5322931497328689e+07 1.4981901419492858e+07 1.4601264913689436e+07 1.4179966629767481e+07 1.3718041380043358e+07 1.3178074827930341e+07 1.2596707411194837e+07 1.1980194451810265e+07 1.1337227136773957e+07 1.0678680667042872e+07 1.0017036296227399e+07 9.3654981985925976e+06 8.7369038184539191e+06 8.1426056386867911e+06 7.5914780969229685e+06 7.0893105499167098e+06 6.6387755715427184e+06 6.2397550392284216e+06 5.8895839306113636e+06 5.5840725730898557e+06 5.3183806677744417e+06 5.0874590998715525e+06 4.8865946938578077e+06 4.7115487779068165e+06 4.5588254839314697e+06 4.4253618103085021e+06 4.3087863783259802e+06 4.2069656627285732e+06 4.1183576385128140e+06 4.0414701510840459e+06 3.9750652556110686e+06 3.9181796380520980e+06 3.8698166641569841e+06 3.8290139217618532e+06 3.7950608746085395e+06 3.7670890850351644e+06 3.7444454613266690e+06 3.7263898569881083e+06 3.7122728840184179e+06 3.7012232610517032e+06 3.6923981149892062e+06 3.6851537308057789e+06 3.6788874615424168e+06 3.6730204966187449e+06 3.6688837927103653e+06 3.6647116627606214e+06 3.6604566838240302e+06 3.6560007792509724e+06 3.6514042804904361e+06 3.6465365883783181e+06 3.6415530267288405e+06 3.6360212006819462e+06 3.6301009153745314e+06 3.6236832186530423e+06 3.6166830319110774e+06 3.6089969710258925e+06 3.6005085712155653e+06 3.5910521971067498e+06 3.5806399802746475e+06 3.5688885316013731e+06 3.5557130313999164e+06 3.5409222975693410e+06 3.5243105890051052e+06 3.5056657337684664e+06 3.4847749163325061e+06 3.4614044041020386e+06 3.4355793159845341e+06 3.4068570845773048e+06 3.3753324333850006e+06 3.3410782947167750e+06 3.3043633509904789e+06 3.2656447446849626e+06 3.2257925926370318e+06 3.1861031812064177e+06 3.1486911660311627e+06 3.1162310645283251e+06 3.0928953090374805e+06 3.0845024610956982e+06 3.0995040451814085e+06 3.1502033134976435e+06 3.2552441070693424e+06 3.4441411170702372e+06 3.7666155109532275e+06 4.7374726879521186e+05 +1.4339213071024394e+01 1.7488832104220834e+07 1.7487028722437959e+07 1.7483950083168812e+07 1.7479745211677603e+07 1.7475159797295757e+07 1.7471473779266898e+07 1.7469308343091939e+07 1.7467657238899548e+07 1.7465406542180888e+07 1.7462200021937698e+07 1.7458008871329155e+07 1.7452692901768561e+07 1.7446040352200314e+07 1.7437820956281763e+07 1.7427783219716631e+07 1.7415626989261176e+07 1.7400991607670873e+07 1.7383453575434484e+07 1.7362517942896310e+07 1.7337604935471363e+07 1.7308039095807988e+07 1.7273022917062532e+07 1.7231480211788323e+07 1.7181564123829078e+07 1.7121160403757960e+07 1.7049219932256389e+07 1.6964719367870886e+07 1.6865982088307172e+07 1.6750949920802562e+07 1.6617320841512842e+07 1.6462580720377604e+07 1.6284028152154176e+07 1.6078817152855007e+07 1.5844024705743574e+07 1.5576750470215673e+07 1.5274250820823541e+07 1.4934116060794117e+07 1.4554488111866117e+07 1.4134317702691164e+07 1.3673643339824622e+07 1.3135158319737840e+07 1.2555409889272206e+07 1.1940641599173153e+07 1.1299525278986918e+07 1.0642909099183461e+07 9.9832404864524845e+06 9.3336849607603550e+06 8.7070394448037781e+06 8.1146175703622447e+06 7.5652602676106123e+06 7.0647315718993116e+06 6.6156880454264265e+06 6.2180048076930894e+06 5.8690194070167625e+06 5.5645510699772127e+06 5.2997719160335679e+06 5.0696472158903619e+06 4.8694780528306523e+06 4.6950391609507836e+06 4.5428460322714318e+06 4.4098458913101200e+06 4.2936753776960745e+06 4.1922082985218554e+06 4.1039079449762846e+06 4.0272873588859127e+06 3.9611129180401741e+06 3.9044246676846528e+06 3.8562294692547233e+06 3.8155682790414961e+06 3.7817330381517466e+06 3.7538583510605199e+06 3.7312933854294927e+06 3.7133005671399366e+06 3.6992327482757363e+06 3.6882216633978435e+06 3.6794273640289963e+06 3.6722083483974743e+06 3.6659640521945865e+06 3.6601176821050625e+06 3.6559955065662456e+06 3.6518380316984290e+06 3.6475979998468957e+06 3.6431577485404983e+06 3.6385773970485986e+06 3.6337268069186201e+06 3.6287607462609801e+06 3.6232483531840690e+06 3.6173488654357977e+06 3.6109537136027017e+06 3.6039781179385148e+06 3.5963190574984960e+06 3.5878604766210304e+06 3.5784373237799271e+06 3.5680616780438302e+06 3.5563515109019815e+06 3.5432222947086999e+06 3.5284835189622035e+06 3.5119301652974524e+06 3.4933508071073610e+06 3.4725333764602612e+06 3.4492449637545985e+06 3.4235105901540378e+06 3.3948892562349560e+06 3.3634753470559148e+06 3.3293415387338363e+06 3.2927555698418026e+06 3.2541729769894239e+06 3.2144608204133296e+06 3.1749108345599957e+06 3.1376302378334445e+06 3.1052841646450167e+06 3.0820303848926849e+06 3.0736670219962033e+06 3.0886159079709523e+06 3.1391370761679816e+06 3.2438088752099359e+06 3.4320423177719302e+06 3.7533838955579586e+06 4.7188971367280465e+05 +1.4344181393798653e+01 1.7434662179594595e+07 1.7432864283595677e+07 1.7429795036346223e+07 1.7425602863769047e+07 1.7421030998721648e+07 1.7417355348508626e+07 1.7415195167828683e+07 1.7413547364361782e+07 1.7411301442233305e+07 1.7408102183110982e+07 1.7403920768022399e+07 1.7398617344842162e+07 1.7391980694286406e+07 1.7383781127130866e+07 1.7373767771498296e+07 1.7361641224547349e+07 1.7347041729160991e+07 1.7329546840382177e+07 1.7308662841734294e+07 1.7283811408384472e+07 1.7254318776285481e+07 1.7219389447112247e+07 1.7177949969973847e+07 1.7128158186257541e+07 1.7067905124425884e+07 1.6996144326359771e+07 1.6911855217543595e+07 1.6813365616746668e+07 1.6698622805325637e+07 1.6565330933046399e+07 1.6410982722663378e+07 1.6232884281714955e+07 1.6028197742360149e+07 1.5794008694584165e+07 1.5527425704005506e+07 1.5225714072254572e+07 1.4886472649465166e+07 1.4507850995522317e+07 1.4088805892663181e+07 1.3629379519625129e+07 1.3092372533742733e+07 1.2514239183684567e+07 1.1901211254831506e+07 1.1261941244915370e+07 1.0607250342669794e+07 9.9495522206864599e+06 9.3019738394519482e+06 8.6772717110645603e+06 8.0867207342707543e+06 7.5391284451822620e+06 7.0402336554838093e+06 6.5926769905920010e+06 6.1963268603361724e+06 5.8485234010609416e+06 5.5450947321114996e+06 5.2812253690127190e+06 5.0518949343907051e+06 4.8524187330197850e+06 4.6785848669923060e+06 4.5269201548855295e+06 4.3943820158271762e+06 4.2786150826099496e+06 4.1775004710364197e+06 4.0895067712806812e+06 4.0131522044862946e+06 3.9472074567643413e+06 3.8907159215542669e+06 3.8426879443090288e+06 3.8021678385469499e+06 3.7684500145308124e+06 3.7406721087127170e+06 3.7181855407050615e+06 3.7002553002444212e+06 3.6862364721775437e+06 3.6752637970472132e+06 3.6665002413307806e+06 3.6593065092894463e+06 3.6530841124203028e+06 3.6472582679626374e+06 3.6431505719396397e+06 3.6390077028642488e+06 3.6347825678185672e+06 3.6303579171265992e+06 3.6257936585908649e+06 3.6209601129046218e+06 3.6160114943972644e+06 3.6105184689242183e+06 3.6046397087789788e+06 3.5982670259982557e+06 3.5913159386959379e+06 3.5836837878769217e+06 3.5752549256323776e+06 3.5658648823019480e+06 3.5555256846744730e+06 3.5438566602069158e+06 3.5307735723407846e+06 3.5160865799067025e+06 3.4995913848568373e+06 3.4810773034028630e+06 3.4603330126954746e+06 3.4371264233555887e+06 3.4114824591605291e+06 3.3829616833474976e+06 3.3516581436887262e+06 3.3176442609598050e+06 3.2811868330808990e+06 3.2427397961767069e+06 3.2031671641779086e+06 3.1637561349140573e+06 3.1266065146134617e+06 3.0943740861889506e+06 3.0712020064325612e+06 3.0628680293996977e+06 3.0777643945180150e+06 3.1281080616635825e+06 3.2324121073405407e+06 3.4199842144549428e+06 3.7401967865619627e+06 4.7003927271251980e+05 +1.4349149716572912e+01 1.7380647656419273e+07 1.7378855274952613e+07 1.7375795386681587e+07 1.7371615876411911e+07 1.7367057523403522e+07 1.7363392215439998e+07 1.7361237279541053e+07 1.7359592773421504e+07 1.7357351619552720e+07 1.7354159609695565e+07 1.7349987913114071e+07 1.7344697013485212e+07 1.7338076232154489e+07 1.7329896455842558e+07 1.7319907433789235e+07 1.7307810512016769e+07 1.7293246831690457e+07 1.7275795000263147e+07 1.7254962531929046e+07 1.7230172548607230e+07 1.7200752976093270e+07 1.7165910320417613e+07 1.7124573861406166e+07 1.7074906128087461e+07 1.7014803416010495e+07 1.6943221922804080e+07 1.6859143834506974e+07 1.6760901400958303e+07 1.6646447345460955e+07 1.6513491977361001e+07 1.6359534856284421e+07 1.6181889584652156e+07 1.5977726390803389e+07 1.5744139449376557e+07 1.5478246208341004e+07 1.5177320870881589e+07 1.4838970807668850e+07 1.4461353190232096e+07 1.4043430829297144e+07 1.3585249553753398e+07 1.3049717110218009e+07 1.2473194941647884e+07 1.1861903074005177e+07 1.1224474698937697e+07 1.0571704072176272e+07 9.9159711849401332e+06 9.2703645329451878e+06 8.6476003284521755e+06 8.0589148549376689e+06 7.5130823675822774e+06 7.0158165517221466e+06 6.5697421706657484e+06 6.1747209725667620e+06 5.8280956989906458e+06 5.5257033555884939e+06 5.2627408316033622e+06 5.0342020681114364e+06 4.8354165540860118e+06 4.6621857217854904e+06 4.5110476828806866e+06 4.3789700196729489e+06 4.2636053329962259e+06 4.1628420237963223e+06 4.0751539640825368e+06 3.9990645372599335e+06 3.9333487235058299e+06 3.8770532533884090e+06 3.8291919447549866e+06 3.7888124571564537e+06 3.7552116618312416e+06 3.7275302170671006e+06 3.7051217870326210e+06 3.6872539168324200e+06 3.6732839167583892e+06 3.6623495234341878e+06 3.6536166086534215e+06 3.6464480755065810e+06 3.6402475044822516e+06 3.6344421166671365e+06 3.6303488514614156e+06 3.6262205390438889e+06 3.6220102506895843e+06 3.6176011481275908e+06 3.6130529284021538e+06 3.6082363698105589e+06 3.6033051347959409e+06 3.5978314117623894e+06 3.5919733094882034e+06 3.5856230201625912e+06 3.5786963587663169e+06 3.5710910270401342e+06 3.5626917834396577e+06 3.5533347382210824e+06 3.5430318661042075e+06 3.5314038458941295e+06 3.5183667311626822e+06 3.5037313478290904e+06 3.4872941157253101e+06 3.4688450913985642e+06 3.4481736945673446e+06 3.4250486533008046e+06 3.3994947943764767e+06 3.3710742383612404e+06 3.3398806968994103e+06 3.3059863363020029e+06 3.2696570169806415e+06 3.2313450799775380e+06 3.1919115031497204e+06 3.1526389629779570e+06 3.1156198784815460e+06 3.0835007124834182e+06 3.0604100578601989e+06 3.0521053678161330e+06 3.0669493887712490e+06 3.1171161520310729e+06 3.2210536815800648e+06 3.4079666781675136e+06 3.7270540429350813e+06 4.6819591946427582e+05 +1.4354118039347171e+01 1.7326788230456460e+07 1.7325001291535918e+07 1.7321950738671057e+07 1.7317783852598485e+07 1.7313238976361755e+07 1.7309583985068366e+07 1.7307434283194151e+07 1.7305793071056720e+07 1.7303556679115050e+07 1.7300371906660166e+07 1.7296209911603674e+07 1.7290931512733106e+07 1.7284326570862681e+07 1.7276166547463920e+07 1.7266201811675798e+07 1.7254134456797492e+07 1.7239606520491008e+07 1.7222197660407756e+07 1.7201416618918110e+07 1.7176687961742278e+07 1.7147341301016130e+07 1.7112585142926201e+07 1.7071351492280092e+07 1.7021807555782128e+07 1.6961854885386489e+07 1.6890452328908049e+07 1.6806584826588012e+07 1.6708589049392834e+07 1.6594423150411883e+07 1.6461803584524659e+07 1.6308236732379485e+07 1.6131043673342085e+07 1.5927402712006157e+07 1.5694416585711375e+07 1.5429211600858977e+07 1.5129070836810147e+07 1.4791610158394897e+07 1.4414994322431767e+07 1.3998192143030232e+07 1.3541253077392051e+07 1.3007191690272177e+07 1.2432276811189825e+07 1.1822716712729335e+07 1.1187125306262197e+07 1.0536269963173492e+07 9.8824970660272930e+06 9.2388567402749676e+06 8.6180250089165419e+06 8.0311996576266047e+06 7.4871217734187478e+06 6.9914800123462845e+06 6.5468833499274729e+06 6.1531869204318179e+06 5.8077360876686545e+06 5.5063767370768990e+06 5.2443181092704516e+06 5.0165684303169623e+06 4.8184713361971453e+06 4.6458415515842112e+06 4.4952284478580905e+06 4.3636097391320309e+06 4.2486459692385942e+06 4.1482328007787047e+06 4.0608493704818729e+06 3.9850242070160503e+06 3.9195365704138465e+06 3.8634365173434629e+06 3.8157413264495344e+06 3.7755019921678971e+06 3.7420178385437303e+06 3.7144325356038637e+06 3.6921019846935994e+06 3.6742962778338231e+06 3.6603749434548593e+06 3.6494787043899009e+06 3.6407763281525834e+06 3.6336329094756423e+06 3.6274540910300161e+06 3.6216690910921213e+06 3.6175902081618933e+06 3.6134764034255738e+06 3.6092809118041201e+06 3.6048873050514595e+06 3.6003550701619005e+06 3.5955554414920653e+06 3.5906415314997691e+06 3.5851870459557404e+06 3.5793495320362635e+06 3.5730215608135667e+06 3.5661192431305330e+06 3.5585406402450968e+06 3.5501709156260174e+06 3.5408467574719614e+06 3.5305800886553950e+06 3.5189929347247402e+06 3.5060016384303998e+06 3.4914176905323337e+06 3.4750382263330277e+06 3.4566540402149362e+06 3.4360552919734786e+06 3.4130115243675457e+06 3.3875474675363973e+06 3.3592267940828213e+06 3.3281428806809490e+06 3.2943676400258830e+06 3.2581659981830283e+06 3.2199887064736066e+06 3.1806937169016823e+06 3.1415591998028150e+06 3.1046702118847757e+06 3.0726639271879261e+06 3.0496544237059574e+06 3.0413789220913295e+06 3.0561707750186082e+06 3.1061612296694973e+06 3.2097334764001677e+06 3.3959895803260677e+06 3.7139555240584295e+06 4.6635962757258047e+05 +1.4359086362121429e+01 1.7273083370704588e+07 1.7271301948509488e+07 1.7268260691843100e+07 1.7264106396341149e+07 1.7259574963398449e+07 1.7255930263136774e+07 1.7253785784618262e+07 1.7252147863047235e+07 1.7249916226690188e+07 1.7246738679791391e+07 1.7242586369255114e+07 1.7237320448352229e+07 1.7230731316202972e+07 1.7222591007872459e+07 1.7212650511051323e+07 1.7200612664880633e+07 1.7186120401583344e+07 1.7168754426934920e+07 1.7148024708945483e+07 1.7123357254158914e+07 1.7094083357563324e+07 1.7059413521372654e+07 1.7018282469573621e+07 1.6968862076653156e+07 1.6909059140189804e+07 1.6837835152773537e+07 1.6754177802404808e+07 1.6656428171309220e+07 1.6542549830160351e+07 1.6410265365424907e+07 1.6257087962850219e+07 1.6080346160942286e+07 1.5877226320625262e+07 1.5644839719951537e+07 1.5380321500012824e+07 1.5080963590941198e+07 1.4744390325455872e+07 1.4368774019332552e+07 1.3953089465119483e+07 1.3497389726493595e+07 1.2964795915790366e+07 1.2391484441138670e+07 1.1783651827870056e+07 1.1149892732882034e+07 1.0500947691941436e+07 9.8491295515494086e+06 9.2074501612791065e+06 8.5885454651881941e+06 8.0035748683451563e+06 7.4612464020471871e+06 6.9672237897795308e+06 6.5241002933143014e+06 6.1317244805929400e+06 5.7874443545612330e+06 5.4871146738191685e+06 5.2259570080198795e+06 4.9989938348092381e+06 4.8015829000426596e+06 4.6295521831349134e+06 4.4794622818891527e+06 4.3483010109524187e+06 4.2337368321877308e+06 4.1336726464041844e+06 4.0465928380133975e+06 3.9710310639955332e+06 3.9057708500616597e+06 3.8498655679905294e+06 3.8023359456645628e+06 3.7622363012846876e+06 3.7288684035704434e+06 3.7013789242146527e+06 3.6791259943844280e+06 3.6613822445760900e+06 3.6475094141020970e+06 3.6366512021554876e+06 3.6279792623868333e+06 3.6208608740220284e+06 3.6147037351227179e+06 3.6089390545136742e+06 3.6048745054661520e+06 3.6007751595883686e+06 3.5965944149025427e+06 3.5922162518023737e+06 3.5876999479513643e+06 3.5829171922128382e+06 3.5780205489575882e+06 3.5725852361552417e+06 3.5667682412960897e+06 3.5604625130613414e+06 3.5535844571571820e+06 3.5460324931520000e+06 3.5376921881625615e+06 3.5284008063779143e+06 3.5181702190424632e+06 3.5066237938489350e+06 3.4936781617815606e+06 3.4791454762036819e+06 3.4628235854846193e+06 3.4445040193565828e+06 3.4239776751977159e+06 3.4010149077050723e+06 3.3756403507530526e+06 3.3474192236941704e+06 3.3164445693857637e+06 3.2827880477593574e+06 3.2467136536819101e+06 3.2086705541011542e+06 3.1695136853540898e+06 3.1305167267866544e+06 3.0937573976134392e+06 3.0618636143030082e+06 3.0389349888357176e+06 3.0306885774060772e+06 3.0454284378805137e+06 3.0952431773093212e+06 3.1984513706213827e+06 3.3840527927251160e+06 3.7009010897177793e+06 4.6453037077620742e+05 +1.4364054684895688e+01 1.7219532842937823e+07 1.7217756855172809e+07 1.7214724850435130e+07 1.7210583113157988e+07 1.7206065091135573e+07 1.7202430656185891e+07 1.7200291390382886e+07 1.7198656755982973e+07 1.7196429868845128e+07 1.7193259535632256e+07 1.7189116892647959e+07 1.7183863426951990e+07 1.7177290074796751e+07 1.7169169443697073e+07 1.7159253138619259e+07 1.7147244742999159e+07 1.7132788081805795e+07 1.7115464906768259e+07 1.7094786409034424e+07 1.7070180033024199e+07 1.7040978753103565e+07 1.7006395063326638e+07 1.6965366401112098e+07 1.6916069298793983e+07 1.6856415788917772e+07 1.6785370003315877e+07 1.6701922371399835e+07 1.6604418376765260e+07 1.6490826995525084e+07 1.6358876931734610e+07 1.6206088160434524e+07 1.6029796661443762e+07 1.5827196832094800e+07 1.5595408469316855e+07 1.5331575525079481e+07 1.5032998755012611e+07 1.4697310933488872e+07 1.4322691909004889e+07 1.3908122427647352e+07 1.3453659137855783e+07 1.2922529429512180e+07 1.2350817481174016e+07 1.1744708077128641e+07 1.1112776645631164e+07 1.0465736935569992e+07 9.8158683298939001e+06 9.1761444965473507e+06 8.5591614107405655e+06 7.9760402138162423e+06 7.4354559935136745e+06 6.9430476371003166e+06 6.5013927664120067e+06 6.1103334303468596e+06 5.7672202877223259e+06 5.4679169636349985e+06 5.2076573344208971e+06 4.9814780959226526e+06 4.7847510668194108e+06 4.6133174436903475e+06 4.4637490175393354e+06 4.3330436723661041e+06 4.2188777631423101e+06 4.1191614055481297e+06 4.0323842146671736e+06 3.9570849588740719e+06 3.8920514154525152e+06 3.8363402603253769e+06 3.7889756590894205e+06 3.7490152426274722e+06 3.7157632162221833e+06 3.6883692431909917e+06 3.6661936771950629e+06 3.6485116787988050e+06 3.6346871909384225e+06 3.6238668793652179e+06 3.6152252743125502e+06 3.6081318323611240e+06 3.6019963002122543e+06 3.5962518705975162e+06 3.5922016071993471e+06 3.5881166715123798e+06 3.5839506241177665e+06 3.5795878526815167e+06 3.5750874262409806e+06 3.5703214866234162e+06 3.5654420520073734e+06 3.5600258474023952e+06 3.5542293025290417e+06 3.5479457424021955e+06 3.5410918666058220e+06 3.5335664518071357e+06 3.5252554674093686e+06 3.5159967516481169e+06 3.5058021243594890e+06 3.4942962907974231e+06 3.4813961692377967e+06 3.4669145734180943e+06 3.4506500623721820e+06 3.4323948987025311e+06 3.4119407148908935e+06 3.3890586748397681e+06 3.3637733165075155e+06 3.3356514007421210e+06 3.3047856377318543e+06 3.2712474354938176e+06 3.2352998608304351e+06 3.1973905016517616e+06 3.1583712887762776e+06 3.1195114256710019e+06 3.0828813187982053e+06 3.0510996581617119e+06 3.0282516384520093e+06 3.0200342192714587e+06 3.0347222623111173e+06 3.0843618780257837e+06 3.1872072434246410e+06 3.3721561875246330e+06 3.6878906001117234e+06 4.6270812290787831e+05 +1.4369023007669947e+01 1.7166136185538597e+07 1.7164365609997585e+07 1.7161342827947814e+07 1.7157213610307623e+07 1.7152708966968361e+07 1.7149084771499954e+07 1.7146950707864795e+07 1.7145319357220918e+07 1.7143097212943114e+07 1.7139934081561234e+07 1.7135801089163564e+07 1.7130560055915225e+07 1.7124002454050481e+07 1.7115901462376751e+07 1.7106009301858339e+07 1.7094030298699670e+07 1.7079609168775972e+07 1.7062328707614157e+07 1.7041701327020731e+07 1.7017155906317871e+07 1.6988027095763572e+07 1.6953529377112798e+07 1.6912602895466007e+07 1.6863428831074763e+07 1.6803924440804552e+07 1.6733056490199855e+07 1.6649818143803880e+07 1.6552559276617924e+07 1.6439254258081555e+07 1.6307637895936217e+07 1.6155236938680483e+07 1.5979394789599014e+07 1.5777313862683089e+07 1.5546122451802291e+07 1.5282973296124980e+07 1.4985175951566301e+07 1.4650371607929951e+07 1.4276747620300768e+07 1.3863290663521256e+07 1.3410060949103646e+07 1.2880391874994988e+07 1.2310275581785737e+07 1.1705885118970871e+07 1.1075776712138226e+07 1.0430637371940110e+07 9.7827130902488437e+06 9.1449394474529140e+06 8.5298725597953815e+06 7.9485954215017846e+06 7.4097502885530135e+06 6.9189513080941252e+06 6.4787605354621354e+06 6.0890135476069655e+06 5.7470636758106267e+06 5.4487834049193980e+06 5.1894188955829870e+06 4.9640210285240291e+06 4.7679756582387388e+06 4.5971371609901497e+06 4.4480884878479587e+06 4.3178375610569119e+06 4.2040686038699364e+06 4.1046989235358010e+06 4.0182233488519615e+06 3.9431857427546978e+06 3.8783781200133380e+06 3.8228604497600649e+06 3.7756603238293929e+06 3.7358386747269891e+06 3.7027021362162619e+06 3.6754033532375223e+06 3.6533048946238812e+06 3.6356844426363218e+06 3.6219081366036665e+06 3.6111255990519919e+06 3.6025142272806223e+06 3.5954456481161453e+06 3.5893316501441295e+06 3.5836074034109395e+06 3.5795713775749193e+06 3.5755008035669383e+06 3.5713494039794966e+06 3.5670019723842656e+06 3.5625173698928473e+06 3.5577681897686357e+06 3.5529059058759310e+06 3.5475087451312649e+06 3.5417325813877988e+06 3.5354711147290459e+06 3.5286413376215403e+06 3.5211423826396917e+06 3.5128606201161868e+06 3.5036344603839512e+06 3.4934756720899809e+06 3.4820102934894753e+06 3.4691555292079728e+06 3.4547248511288185e+06 3.4385175265588006e+06 3.4203265485100690e+06 3.3999442820905326e+06 3.3771426976633500e+06 3.3519462376510175e+06 3.3239231991442838e+06 3.2931659608012624e+06 3.2597456795777380e+06 3.2239244973361911e+06 3.1861484282640214e+06 3.1472664077822268e+06 3.1085431785400622e+06 3.0720418589092288e+06 3.0403719434366105e+06 3.0176042580885058e+06 3.0094157335327668e+06 3.0240521336018848e+06 3.0735172152317683e+06 3.1760009743319182e+06 3.3602996372642396e+06 3.6749239158368520e+06 4.6089285789394361e+05 +1.4373991330444206e+01 1.7112892910268977e+07 1.7111127792282313e+07 1.7108114236941226e+07 1.7103997496664319e+07 1.7099506198981997e+07 1.7095892217167906e+07 1.7093763345250819e+07 1.7092135274918016e+07 1.7089917867147218e+07 1.7086761925725792e+07 1.7082638566934884e+07 1.7077409943396002e+07 1.7070868062170681e+07 1.7062786672145806e+07 1.7052918609043252e+07 1.7040968940328870e+07 1.7026583270887729e+07 1.7009345437982425e+07 1.6988769071525928e+07 1.6964284482784122e+07 1.6935227994470976e+07 1.6900816071877502e+07 1.6859991562000018e+07 1.6810940283200182e+07 1.6751584705917962e+07 1.6680894223955464e+07 1.6597864730642291e+07 1.6500850482515542e+07 1.6387831230253689e+07 1.6256547871327659e+07 1.6104533911902534e+07 1.5929140161024176e+07 1.5727577029441213e+07 1.5496981286225673e+07 1.5234514434065862e+07 1.4937494803950222e+07 1.4603571975049330e+07 1.4230940782936027e+07 1.3818593806445697e+07 1.3366594798683288e+07 1.2838382896614527e+07 1.2269858394277448e+07 1.1667182612735108e+07 1.1038892600849386e+07 1.0395648679728875e+07 9.7496635225756150e+06 9.1138347161319926e+06 8.5006786273273993e+06 7.9212402195879053e+06 7.3841290286317933e+06 6.8949345572096007e+06 6.4562033673543353e+06 6.0677646109143225e+06 5.7269743080771323e+06 5.4297137966332026e+06 5.1712414991730303e+06 4.9466224479994345e+06 4.7512564965248164e+06 4.5810111632764470e+06 4.4324805263393410e+06 4.3026825151880085e+06 4.1893091965875099e+06 4.0902850461301343e+06 4.0041100894295759e+06 3.9293332671832624e+06 3.8647508175979843e+06 3.8094259921311419e+06 3.7623897973998799e+06 3.7227064565225858e+06 3.6896850236792061e+06 3.6624811154514086e+06 3.6404595085709738e+06 3.6229003986215116e+06 3.6091721141349571e+06 3.5984272246482586e+06 3.5898459850449306e+06 3.5828021852962440e+06 3.5767096491640722e+06 3.5710055174117768e+06 3.5669836812079735e+06 3.5629274205195736e+06 3.5587906194100296e+06 3.5544584759993344e+06 3.5499896441660305e+06 3.5452571670825519e+06 3.5404119761813250e+06 3.5350337951650526e+06 3.5292779439109275e+06 3.5230384963190905e+06 3.5162327367498623e+06 3.5087601524780984e+06 3.5005075134156221e+06 3.4913138000686364e+06 3.4811907301030131e+06 3.4697656702265367e+06 3.4569561104767486e+06 3.4425761786684012e+06 3.4264258479932356e+06 3.4082988394141984e+06 3.3879882481966815e+06 3.3652668484459124e+06 3.3401589874071404e+06 3.3122344931784817e+06 3.2815854140366581e+06 3.2482826567207291e+06 3.2125874412609306e+06 3.1749442134288396e+06 3.1361989233331443e+06 3.0976118678218029e+06 3.0612389017518996e+06 3.0296803551325384e+06 3.0069927336116899e+06 2.9988330063680694e+06 3.0134179373743203e+06 3.0627090726781692e+06 3.1648324432200762e+06 3.3484830148472637e+06 3.6620008978985618e+06 4.5908454975406587e+05 +1.4378959653218464e+01 1.7059802818961214e+07 1.7058043034609970e+07 1.7055038683049716e+07 1.7050934382406209e+07 1.7046456395987500e+07 1.7042852602036413e+07 1.7040728911475994e+07 1.7039104118024554e+07 1.7036891440391794e+07 1.7033742677069858e+07 1.7029628934934463e+07 1.7024412698387168e+07 1.7017886508133020e+07 1.7009824682032172e+07 1.6999980669256378e+07 1.6988060277001429e+07 1.6973709997375324e+07 1.6956514707172349e+07 1.6935989251968082e+07 1.6911565372000393e+07 1.6882581058965962e+07 1.6848254757542200e+07 1.6807532010927003e+07 1.6758603265639989e+07 1.6699396195088724e+07 1.6628882815873383e+07 1.6546061743722066e+07 1.6449291606910020e+07 1.6336557525232110e+07 1.6205606471985772e+07 1.6053978695258971e+07 1.5879032392083820e+07 1.5677985950249773e+07 1.5447984592227802e+07 1.5186198560606772e+07 1.4889954936336143e+07 1.4556911661924712e+07 1.4185271027408427e+07 1.3774031490985749e+07 1.3323260325849839e+07 1.2796502139555102e+07 1.2229565570769820e+07 1.1628600218532572e+07 1.1002123981002767e+07 1.0360770538424488e+07 9.7167193176253028e+06 9.0828300054904278e+06 8.4715793290643375e+06 7.8939743369987626e+06 7.3585919558961457e+06 6.8709971395688932e+06 6.4337210296265027e+06 6.0465863994265087e+06 5.7069519743790682e+06 5.4107079383180179e+06 5.1531249534004489e+06 4.9292821702756314e+06 4.7345934044131171e+06 4.5649392792803645e+06 4.4169249670180921e+06 4.2875783733864706e+06 4.1745993839693065e+06 4.0759196195450108e+06 3.9900442856952897e+06 3.9155273841171097e+06 3.8511693624770632e+06 3.7960367436868669e+06 3.7491639377319361e+06 3.7096184473648914e+06 3.6767117391394796e+06 3.6496023913434083e+06 3.6276573813312282e+06 3.6101594096907475e+06 3.5964789869630258e+06 3.5857716199824628e+06 3.5772204117482668e+06 3.5702013083141688e+06 3.5641301619078484e+06 3.5584460774504254e+06 3.5544383831018130e+06 3.5503963875255981e+06 3.5462741357241804e+06 3.5419572290012562e+06 3.5375041147036417e+06 3.5327882843955699e+06 3.5279601289339112e+06 3.5226008637144128e+06 3.5168652565365811e+06 3.5106477538446486e+06 3.5038659309105454e+06 3.4964196285229358e+06 3.4881960148270843e+06 3.4790346385687785e+06 3.4689471666474394e+06 3.4575622896926878e+06 3.4447977822115314e+06 3.4304684257500623e+06 3.4143748970007240e+06 3.3963116424255231e+06 3.3760724849913255e+06 3.3534309998241835e+06 3.3284114393614973e+06 3.3005851574873663e+06 3.2700438732429566e+06 3.2368582439844524e+06 3.2012885710215401e+06 3.1637777369892793e+06 3.1251687167388205e+06 3.0867173762844624e+06 3.0504723314732052e+06 3.0190247785872859e+06 2.9964169512175890e+06 2.9882859242794402e+06 3.0028195595840132e+06 3.0519373344551339e+06 3.1537015303119458e+06 3.3367061935459571e+06 3.6491214077053252e+06 4.5728317260090221e+05 +1.4383927975992723e+01 1.7006865411356587e+07 1.7005110943192910e+07 1.7002115773595195e+07 1.6998023878624741e+07 1.6993559167559437e+07 1.6989965535732489e+07 1.6987847016312480e+07 1.6986225496283174e+07 1.6984017542402044e+07 1.6980875945328139e+07 1.6976771802892312e+07 1.6971567930631250e+07 1.6965057401734464e+07 1.6957015101846240e+07 1.6947195092338488e+07 1.6935303918643668e+07 1.6920988958205789e+07 1.6903836125287436e+07 1.6883361478543058e+07 1.6858998184301734e+07 1.6830085899758879e+07 1.6795845044834275e+07 1.6755223853193829e+07 1.6706417389678147e+07 1.6647358519967929e+07 1.6577021878039757e+07 1.6494408795684714e+07 1.6397882263058219e+07 1.6285432757011110e+07 1.6154813312814146e+07 1.6003570904685413e+07 1.5829071099976197e+07 1.5628540243777866e+07 1.5399131990226367e+07 1.5138025298252508e+07 1.4842555973688990e+07 1.4510390296435758e+07 1.4139737985028837e+07 1.3729603352464823e+07 1.3280057170664247e+07 1.2754749249850588e+07 1.2189396764196871e+07 1.1590137597314047e+07 1.0965470522654271e+07 1.0326002628300194e+07 9.6838801669327356e+06 9.0519250192131028e+06 8.4425743814876974e+06 7.8667975033684727e+06 7.3331388132071206e+06 6.8471388109701294e+06 6.4113132904586541e+06 6.0254786929233801e+06 5.6869964651482711e+06 5.3917656300733527e+06 5.1350690670275530e+06 4.9120000117987562e+06 4.7179862051369827e+06 4.5489213382243067e+06 4.4014216443597078e+06 4.2725249747439465e+06 4.1599390091441805e+06 4.0616024904404832e+06 3.9760257873761193e+06 3.9017679459569026e+06 3.8376336093492662e+06 3.7826925610937756e+06 3.7359826031690589e+06 3.6965745070077297e+06 3.6637821435373090e+06 3.6367670428236621e+06 3.6148983756082673e+06 3.5974613391778693e+06 3.5838286189222145e+06 3.5731586492749294e+06 3.5646373719328768e+06 3.5576428819712289e+06 3.5515930534077710e+06 3.5459289487721776e+06 3.5419353486523754e+06 3.5379075701355799e+06 3.5337998186289622e+06 3.5294980972594172e+06 3.5250606475481093e+06 3.5203614079207103e+06 3.5155502305352795e+06 3.5102098173861015e+06 3.5044943860818050e+06 3.4982987543550120e+06 3.4915407874191562e+06 3.4841206783722215e+06 3.4759259922583848e+06 3.4667968441381790e+06 3.4567448503609160e+06 3.4454000209529647e+06 3.4326804139668965e+06 3.4184014624651619e+06 3.4023645442815716e+06 3.3843648289293037e+06 3.3641968646230027e+06 3.3416350248091919e+06 3.3167034674710198e+06 3.2889750670877872e+06 3.2585412145859650e+06 3.2254723187944451e+06 3.1900277653898965e+06 3.1526488791353228e+06 3.1141756696534404e+06 3.0758595870364313e+06 3.0397420325517957e+06 3.0084050994740520e+06 2.9858767974364352e+06 2.9777743741075904e+06 2.9922568865165794e+06 3.0412018849885459e+06 3.1426081161799575e+06 3.3249690470043672e+06 3.6362853070699289e+06 4.5548870063978975e+05 +1.4388896298766982e+01 1.6954080251301091e+07 1.6952331142337535e+07 1.6949345123513967e+07 1.6945265596977390e+07 1.6940814123985853e+07 1.6937230628693610e+07 1.6935117270308398e+07 1.6933499020228215e+07 1.6931295783716872e+07 1.6928161341013577e+07 1.6924066781350557e+07 1.6918875250679400e+07 1.6912380353529807e+07 1.6904357542193390e+07 1.6894561488969885e+07 1.6882699475974124e+07 1.6868419764201868e+07 1.6851309303189851e+07 1.6830885362263102e+07 1.6806582530831899e+07 1.6777742128163587e+07 1.6743586545271913e+07 1.6703066700572958e+07 1.6654382267368024e+07 1.6595471293014806e+07 1.6525311023332354e+07 1.6442905499939024e+07 1.6346622065009037e+07 1.6234456540399261e+07 1.6104168009478232e+07 1.5953310156936757e+07 1.5779255902706733e+07 1.5579239529515035e+07 1.5350423101478968e+07 1.5089994270341869e+07 1.4795297541821592e+07 1.4464007507297587e+07 1.4094341287944270e+07 1.3685309027088698e+07 1.3236984974030863e+07 1.2713123874311592e+07 1.2149351628333056e+07 1.1551794410811990e+07 1.0928931896667870e+07 1.0291344630429847e+07 9.6511457628195584e+06 9.0211194617366064e+06 8.4136635018115677e+06 7.8397094490572289e+06 7.3077693441193663e+06 6.8233593278859733e+06 6.3889799186773198e+06 6.0044412717998791e+06 5.6671075714262482e+06 5.3728866725746160e+06 5.1170736493536420e+06 4.8947757895414354e+06 4.7014347224504277e+06 4.5329571698217317e+06 4.3859703933249461e+06 4.2575221588131832e+06 4.1453279156920612e+06 4.0473335059174867e+06 3.9620544446356301e+06 3.8880548055240167e+06 3.8241434133314453e+06 3.7693933014385845e+06 3.7228456524669169e+06 3.6835744956193864e+06 3.6508960982073587e+06 3.6239749321983140e+06 3.6021823544971379e+06 3.5848060508097918e+06 3.5712208742352915e+06 3.5605881771487040e+06 3.5520967305322620e+06 3.5451267714639152e+06 3.5390981890836647e+06 3.5334539970196048e+06 3.5294744436472016e+06 3.5254608342906632e+06 3.5213675342211593e+06 3.5170809470384358e+06 3.5126591091261953e+06 3.5079764042661143e+06 3.5031821477741515e+06 3.4978605231671026e+06 3.4921651997506907e+06 3.4859913652931945e+06 3.4792571739684036e+06 3.4718631700035674e+06 3.4636973139984151e+06 3.4546002854108587e+06 3.4445836502577481e+06 3.4332787334518428e+06 3.4206038756655590e+06 3.4063751592811691e+06 3.3903946609103070e+06 3.3724582706830883e+06 3.3523612596174981e+06 3.3298787967795585e+06 3.3050349460574011e+06 3.2774040973473797e+06 3.2470773145961650e+06 3.2141247589284340e+06 3.1788049034868916e+06 3.1415575204051957e+06 3.1032196640691799e+06 3.0650383835274144e+06 3.0290478898056052e+06 2.9978212037947546e+06 2.9753721591261704e+06 2.9672982430146551e+06 2.9817298047861350e+06 3.0305026090398468e+06 3.1315520817451482e+06 3.3132714492304497e+06 3.6234924582031574e+06 4.5370110816843034e+05 +1.4393864621541240e+01 1.6901446939177211e+07 1.6899703252696563e+07 1.6896726350821033e+07 1.6892659149419054e+07 1.6888220876352966e+07 1.6884647492138244e+07 1.6882539284781098e+07 1.6880924301174190e+07 1.6878725775648180e+07 1.6875598475456800e+07 1.6871513481623217e+07 1.6866334269870028e+07 1.6859854974897947e+07 1.6851851614476550e+07 1.6842079470574267e+07 1.6830246560488168e+07 1.6816002026899830e+07 1.6798933852563694e+07 1.6778560514908362e+07 1.6754318023513604e+07 1.6725549356271766e+07 1.6691478871157952e+07 1.6651060165623736e+07 1.6602497511585614e+07 1.6543734127439849e+07 1.6473749865444478e+07 1.6391551470703019e+07 1.6295510627612125e+07 1.6183628490991849e+07 1.6053670178484803e+07 1.5903196069540376e+07 1.5729586419068528e+07 1.5530083427743705e+07 1.5301857548017757e+07 1.5042105100998959e+07 1.4748179267332474e+07 1.4417762924023256e+07 1.4049080569104416e+07 1.3641148151821289e+07 1.3194043377672367e+07 1.2671625660578938e+07 1.2109429817723591e+07 1.1513570321608495e+07 1.0892507774699576e+07 1.0256796226675948e+07 9.6185157983807586e+06 8.9904130382728763e+06 8.3848464079999048e+06 7.8127099051616890e+06 7.2824832928717723e+06 6.7996584474516427e+06 6.3667206837594863e+06 5.9834739170732116e+06 5.6472850848377543e+06 5.3540708670589719e+06 5.0991385102320025e+06 4.8776093209985029e+06 4.6849387806090517e+06 4.5170466042806637e+06 4.3705710493364120e+06 4.2425697656154949e+06 4.1307659476459427e+06 4.0331125135187614e+06 3.9481301080761855e+06 3.8743878160654227e+06 3.8106986299594250e+06 3.7561388222142854e+06 3.7097529447887829e+06 3.6706182737683048e+06 3.6380534648928777e+06 3.6112259221789758e+06 3.5895091814971538e+06 3.5721934087137473e+06 3.5586556175250597e+06 3.5480600686137178e+06 3.5395983528718571e+06 3.5326528423745842e+06 3.5266454347510827e+06 3.5210210882135225e+06 3.5170555342649594e+06 3.5130560463212458e+06 3.5089771489833128e+06 3.5047056449805195e+06 3.5002993662531124e+06 3.4956331404238492e+06 3.4908557478189357e+06 3.4855528484349670e+06 3.4798775651358967e+06 3.4737254544896348e+06 3.4670149586433936e+06 3.4596469717790782e+06 3.4515098487160201e+06 3.4424448314018929e+06 3.4324634357309304e+06 3.4211982970172120e+06 3.4085680376123306e+06 3.3943893870440945e+06 3.3784651183388280e+06 3.3605918398157582e+06 3.3405655428650877e+06 3.3181621894793706e+06 3.2934057498083203e+06 3.2658721240019850e+06 3.2356520501530706e+06 3.2028154425226706e+06 3.1676198647846812e+06 3.1305035416871337e+06 3.0923005823279126e+06 3.0542536495398162e+06 3.0183897883851081e+06 2.9872729778872300e+06 2.9649029234716464e+06 2.9568574184981268e+06 2.9712382013423941e+06 3.0198393917053840e+06 3.1205333082711808e+06 3.3016132745998693e+06 3.6107427237139740e+06 4.5192036957657791e+05 +1.4398832944315499e+01 1.6848965197758693e+07 1.6847226840604603e+07 1.6844259066157218e+07 1.6840204148084991e+07 1.6835779036577113e+07 1.6832215738084864e+07 1.6830112671882015e+07 1.6828500951238416e+07 1.6826307130297866e+07 1.6823186960762847e+07 1.6819111515837844e+07 1.6813944600334011e+07 1.6807480877979927e+07 1.6799496930878587e+07 1.6789748649387751e+07 1.6777944784476765e+07 1.6763735358719938e+07 1.6746709385866126e+07 1.6726386549069954e+07 1.6702204275103809e+07 1.6673507196999405e+07 1.6639521635610178e+07 1.6599203861688970e+07 1.6550762735983480e+07 1.6492146637289517e+07 1.6422338018850707e+07 1.6340346322983747e+07 1.6244547566499034e+07 1.6132948225184867e+07 1.6003319437116345e+07 1.5853228260853175e+07 1.5680062268664870e+07 1.5481071559551883e+07 1.5253434952700505e+07 1.4994357415167445e+07 1.4701200777619153e+07 1.4371656176946811e+07 1.4003955462280795e+07 1.3597120364470387e+07 1.3151232024094112e+07 1.2630254257130144e+07 1.2069630987771386e+07 1.1475464993050212e+07 1.0856197829206750e+07 1.0222357099703750e+07 9.5859899674929231e+06 8.9598054547874480e+06 8.3561228187647043e+06 7.7857986034832839e+06 7.2572804044226119e+06 6.7760359274834543e+06 6.3445353558087135e+06 5.9625764103752663e+06 5.6275287975924043e+06 5.3353180153344972e+06 5.0812634600548279e+06 4.8605004241946191e+06 4.6684982043640167e+06 4.5011894722986249e+06 4.3552234483116399e+06 4.2276676356287422e+06 4.1162529494904149e+06 4.0189393612271328e+06 3.9342526287236516e+06 3.8607668312585158e+06 3.7972991151950541e+06 3.7429289813337107e+06 3.6967043397014812e+06 3.6577057024287097e+06 3.6252541057382268e+06 3.5985198758763513e+06 3.5768787204976515e+06 3.5596232774116225e+06 3.5461327138067391e+06 3.5355741890699542e+06 3.5271421046700850e+06 3.5202209606854334e+06 3.5142346566148843e+06 3.5086300887738424e+06 3.5046784870732385e+06 3.5006930729452544e+06 3.4966285297895269e+06 3.4923720581233692e+06 3.4879812861316567e+06 3.4833314837731561e+06 3.4785708982364493e+06 3.4732866609539338e+06 3.4676313502193089e+06 3.4615008901494714e+06 3.4548140099074463e+06 3.4474719524431676e+06 3.4393634654684579e+06 3.4303303515152349e+06 3.4203840765618593e+06 3.4091585818478791e+06 3.3965727704946548e+06 3.3824440169737898e+06 3.3665757883931808e+06 3.3487654088348169e+06 3.3288095876276717e+06 3.3064850770185441e+06 3.2818157537751324e+06 3.2543790231497507e+06 3.2242652985040518e+06 3.1915442480649054e+06 3.1564725291110906e+06 3.1194868242089292e+06 3.0814183071125462e+06 3.0435052692062114e+06 3.0077676137785092e+06 2.9767603084185617e+06 2.9544689779903176e+06 2.9464517883727644e+06 2.9607819634583108e+06 3.0092121184166516e+06 3.1095516773670553e+06 3.2899943978536301e+06 3.5980359666209524e+06 4.5014645934572536e+05 +1.4403801267089758e+01 1.6796634629586875e+07 1.6794901532290746e+07 1.6791942873541489e+07 1.6787900205513965e+07 1.6783488217422880e+07 1.6779934979368437e+07 1.6777837044497937e+07 1.6776228583304042e+07 1.6774039460548738e+07 1.6770926409811113e+07 1.6766860496867653e+07 1.6761705854977166e+07 1.6755257675712423e+07 1.6747293104361385e+07 1.6737568638428526e+07 1.6725793761028014e+07 1.6711619372764833e+07 1.6694635516361484e+07 1.6674363078104945e+07 1.6650240899073521e+07 1.6621615264006296e+07 1.6587714452500524e+07 1.6547497402915379e+07 1.6499177554997152e+07 1.6440708437366307e+07 1.6371075098821413e+07 1.6289289672583837e+07 1.6193732498114113e+07 1.6082415360157970e+07 1.5953115403456425e+07 1.5803406350013010e+07 1.5630683071896326e+07 1.5432203546832461e+07 1.5205154939183308e+07 1.4946750838581676e+07 1.4654361700909251e+07 1.4325686897195896e+07 1.3958965602045996e+07 1.3553225303652966e+07 1.3108550556642437e+07 1.2589009313227095e+07 1.2029954794652002e+07 1.1437478089325666e+07 1.0820001733467203e+07 1.0188026932956150e+07 9.5535679648199305e+06 8.9292964180177040e+06 8.3274924535537018e+06 7.7589752765427949e+06 7.2321604244103758e+06 6.7524915264532780e+06 6.3224237055897359e+06 5.9417485339375408e+06 5.6078385024985373e+06 5.3166279197694631e+06 5.0634483097539200e+06 4.8434489176690411e+06 4.6521128189855544e+06 4.4853856050487580e+06 4.3399274266240429e+06 4.2128156097938837e+06 4.1017887661571479e+06 4.0048138974648984e+06 3.9204218580466975e+06 3.8471917051969366e+06 3.7839447254074826e+06 3.7297636371200788e+06 3.6836996971916398e+06 3.6448366429820750e+06 3.6124978832914503e+06 3.5858566567948158e+06 3.5642908357870425e+06 3.5470955218155677e+06 3.5336520284851324e+06 3.5231304043179294e+06 3.5147278520363159e+06 3.5078309927644841e+06 3.5018657212677277e+06 3.4962808655055691e+06 3.4923431690286277e+06 3.4883717812678786e+06 3.4843215439027259e+06 3.4800800538882352e+06 3.4757047363495473e+06 3.4710713020820678e+06 3.4663274669701150e+06 3.4610618288677186e+06 3.4554264233583794e+06 3.4493175408699620e+06 3.4426541966129080e+06 3.4353379811235564e+06 3.4272580336878505e+06 3.4182567155230637e+06 3.4083454429019466e+06 3.3971594585311590e+06 3.3846179453655295e+06 3.3705389206675836e+06 3.3547265432682252e+06 3.3369788506106231e+06 3.3170932675396348e+06 3.2948473338804422e+06 3.2702648333757930e+06 3.2429246712469230e+06 3.2129169372458071e+06 3.1803110543984021e+06 3.1453627766353260e+06 3.1085072495526834e+06 3.0705727214433039e+06 3.0327931269842195e+06 2.9971812518013972e+06 2.9662830823813435e+06 2.9440702105225092e+06 2.9360812407871359e+06 2.9503609787349273e+06 2.9986206749349912e+06 3.0986070709908381e+06 3.2784146940949010e+06 3.5853720503303367e+06 4.4837935204879264e+05 +1.4408769589864017e+01 1.6744454702642189e+07 1.6742727002645345e+07 1.6739777378722711e+07 1.6735746934743648e+07 1.6731348032498175e+07 1.6727804829615362e+07 1.6725712016365681e+07 1.6724106811075004e+07 1.6721922380087825e+07 1.6718816436291583e+07 1.6714760038409498e+07 1.6709617647509729e+07 1.6703184981831912e+07 1.6695239748694070e+07 1.6685539051500084e+07 1.6673793104017850e+07 1.6659653683013689e+07 1.6642711858087882e+07 1.6622489716178099e+07 1.6598427509741858e+07 1.6569873171782438e+07 1.6536056936525790e+07 1.6495940404224731e+07 1.6447741583870724e+07 1.6389419143290024e+07 1.6319960721407766e+07 1.6238381136094861e+07 1.6143065039683593e+07 1.6032029513908580e+07 1.5903057696385851e+07 1.5753729956975840e+07 1.5581448449959798e+07 1.5383479012280768e+07 1.5157017131935267e+07 1.4899284997817906e+07 1.4607661666228874e+07 1.4279854716723371e+07 1.3914110623791609e+07 1.3509462608800352e+07 1.3065998619467085e+07 1.2547890478957348e+07 1.1990400895363169e+07 1.1399609275403898e+07 1.0783919161534818e+07 1.0153805410679737e+07 9.5212494857915249e+06 8.8988856354529746e+06 8.2989550325646792e+06 7.7322396575961970e+06 7.2071230991650037e+06 6.7290250035030553e+06 6.3003855044828579e+06 5.9209900706239529e+06 5.5882139929476427e+06 5.2980003832926014e+06 5.0456928708068226e+06 4.8264546204851801e+06 4.6357824502342269e+06 4.4696348342027478e+06 4.3246828211292159e+06 4.1980135295094699e+06 4.0873732430325910e+06 3.9907359711026424e+06 3.9066376479339926e+06 3.8336622924081599e+06 3.7706353173895697e+06 3.7166426483085416e+06 3.6707388776437645e+06 3.6320109572093324e+06 3.5997846604892546e+06 3.5732361288372711e+06 3.5517453920534798e+06 3.5346100072363475e+06 3.5212134273617691e+06 3.5107285805404810e+06 3.5023554614676959e+06 3.4954828053641990e+06 3.4895384956933735e+06 3.4839732855992890e+06 3.4800494474713486e+06 3.4760920387873249e+06 3.4720560589682357e+06 3.4678295000864193e+06 3.4634695848825867e+06 3.4588524634990445e+06 3.4541253223521421e+06 3.4488782207078845e+06 3.4432626532999696e+06 3.4371752756278603e+06 3.4305353879860719e+06 3.4232449273289102e+06 3.4151934231902966e+06 3.4062237935836799e+06 3.3963474052864145e+06 3.3852007980209030e+06 3.3727034336654632e+06 3.3586739700938873e+06 3.3429172555386764e+06 3.3252320383910360e+06 3.3054164566010409e+06 3.2832488349076002e+06 3.2587528643846889e+06 3.2315089451108533e+06 3.2016068443372524e+06 3.1691157407163344e+06 3.1342904878843441e+06 3.0975646996391662e+06 3.0597637086856184e+06 3.0221171076723640e+06 2.9866305886088754e+06 2.9558411871053339e+06 2.9337065092378221e+06 2.9257456642143182e+06 2.9399751351045654e+06 2.9880649473607359e+06 3.0876993714404968e+06 3.2668740387956509e+06 3.5727508386516608e+06 4.4661902234981715e+05 +1.4413737912638275e+01 1.6692425224944321e+07 1.6690702799579892e+07 1.6687762191959672e+07 1.6683743949530222e+07 1.6679358096282303e+07 1.6675824903257269e+07 1.6673737201952349e+07 1.6672135249004206e+07 1.6669955503380420e+07 1.6666856654640207e+07 1.6662809754946513e+07 1.6657679592406088e+07 1.6651262410839180e+07 1.6643336478428179e+07 1.6633659503215970e+07 1.6621942428079935e+07 1.6607837904209979e+07 1.6590938025862468e+07 1.6570766078236826e+07 1.6546763722190388e+07 1.6518280535585791e+07 1.6484548703141607e+07 1.6444532481345406e+07 1.6396454438642079e+07 1.6338278371462209e+07 1.6268994503467834e+07 1.6187620330906048e+07 1.6092544809240060e+07 1.5981790305207465e+07 1.5853145935572565e+07 1.5704198702468803e+07 1.5532358024871593e+07 1.5334897579379171e+07 1.5109021156210499e+07 1.4851959520218199e+07 1.4561100303411389e+07 1.4234159268275887e+07 1.3869390163691260e+07 1.3465831920143045e+07 1.3023575857523080e+07 1.2506897405210288e+07 1.1950968947726734e+07 1.1361858217072707e+07 1.0747949788272426e+07 1.0119692217905797e+07 9.4890342266122140e+06 8.8685728153445516e+06 8.2705102767237034e+06 7.7055914805938136e+06 7.1821681757082604e+06 6.7056361184515646e+06 6.2784205245339964e+06 5.9003008038985906e+06 5.5686550629090695e+06 5.2794352093953164e+06 5.0279969552247738e+06 4.8095173522239793e+06 4.6195069243761599e+06 4.4539369919106867e+06 4.3094894691447662e+06 4.1832612366418736e+06 4.0730062259381660e+06 3.9767054314344614e+06 3.8928998507086337e+06 3.8201784478308712e+06 3.7573707483522259e+06 3.7035658740438856e+06 3.6578217418493903e+06 3.6192285072937068e+06 3.5871143006781340e+06 3.5606581563083595e+06 3.5392422543695588e+06 3.5221665993683236e+06 3.5088167766256439e+06 3.4983685843170923e+06 3.4900247998544420e+06 3.4831762656340133e+06 3.4772528472571219e+06 3.4717072166403127e+06 3.4677971901320149e+06 3.4638537133804979e+06 3.4598319430202194e+06 3.4556202649090653e+06 3.4512757000907781e+06 3.4466748365632859e+06 3.4419643330976423e+06 3.4367357053913921e+06 3.4311399091690285e+06 3.4250739637814527e+06 3.4184574536378072e+06 3.4111926609463766e+06 3.4031695041723163e+06 3.3942314562334563e+06 3.3843898346244572e+06 3.3732824716530638e+06 3.3608291072002025e+06 3.3468490375934048e+06 3.3311477981422516e+06 3.3135248457849552e+06 3.2937790291759274e+06 3.2716894553120546e+06 3.2472797229434806e+06 3.2201317219147980e+06 3.1903348980898340e+06 3.1579581865680222e+06 3.1232555437277076e+06 3.0866590567359333e+06 3.0489911525428928e+06 3.0114770964073762e+06 2.9761155106805116e+06 2.9454345102383327e+06 2.9233777626300035e+06 2.9154449474487216e+06 2.9296243208214063e+06 2.9775448221211028e+06 3.0768284613542659e+06 3.2553723077842682e+06 3.5601721957921661e+06 4.4486544500364375e+05 +1.4418706235412534e+01 1.6640545710872462e+07 1.6638828541702375e+07 1.6635896929111095e+07 1.6631890864356341e+07 1.6627518024085961e+07 1.6623994815547435e+07 1.6621912216543993e+07 1.6620313512374334e+07 1.6618138445671828e+07 1.6615046680140460e+07 1.6611009261730386e+07 1.6605891304964930e+07 1.6599489578042272e+07 1.6591582908899575e+07 1.6581929608943038e+07 1.6570241348671287e+07 1.6556171651846385e+07 1.6539313635323871e+07 1.6519191780022439e+07 1.6495249152319230e+07 1.6466836971463524e+07 1.6433189368597519e+07 1.6393273250790715e+07 1.6345315736092510e+07 1.6287285739084022e+07 1.6218176062635519e+07 1.6137006875200307e+07 1.6042171425598986e+07 1.5931697353637952e+07 1.5803379741501214e+07 1.5654812208028957e+07 1.5483411419410488e+07 1.5286458872441197e+07 1.5061166638064459e+07 1.4804774033955764e+07 1.4514677243104490e+07 1.4188600185426120e+07 1.3824803858788345e+07 1.3422332878730701e+07 1.2981281916596945e+07 1.2466029743689070e+07 1.1911658610356804e+07 1.1324224580929585e+07 1.0712093289338361e+07 1.0085687040437821e+07 9.4569218842748627e+06 8.8383576667030659e+06 8.2421579076966317e+06 7.6790304802121986e+06 7.1572954017605968e+06 6.6823246317628315e+06 6.2565285383949177e+06 5.8796805178351263e+06 5.5491615069423653e+06 5.2609322021333305e+06 5.0103603755556000e+06 4.7926369329822939e+06 4.6032860681809969e+06 4.4382919108124552e+06 4.2943472084659357e+06 4.1685585734993354e+06 4.0586875611549849e+06 3.9627221281989780e+06 3.8792083191189179e+06 3.8067400268328264e+06 3.7441508759095697e+06 3.6905331738816686e+06 3.6449481510103308e+06 3.6064891558214328e+06 3.5744866676004501e+06 3.5481226038986687e+06 3.5267812882050197e+06 3.5097651643085452e+06 3.4964619428568822e+06 3.4860502826085757e+06 3.4777357344675953e+06 3.4709112411068259e+06 3.4650086437158887e+06 3.4594825265891585e+06 3.4555862651232993e+06 3.4516566733094626e+06 3.4476490644750991e+06 3.4434522169319871e+06 3.4391229507152522e+06 3.4345382901863102e+06 3.4298443683006526e+06 3.4246341522072982e+06 3.4190580604769550e+06 3.4130134750695187e+06 3.4064202635625796e+06 3.3991810522423605e+06 3.3911861472015390e+06 3.3822795743825147e+06 3.3724726022034497e+06 3.3614043511349200e+06 3.3489948381521674e+06 3.3350639958827361e+06 3.3194180443884907e+06 3.3018571467756401e+06 3.2821808599976450e+06 3.2601690706614470e+06 3.2358452855539387e+06 3.2087928791932291e+06 3.1791009771684497e+06 3.1468382718507978e+06 3.1122578253786233e+06 3.0757902034487068e+06 3.0382549370540422e+06 3.0008729786542212e+06 2.9656359048303599e+06 2.9350629397634575e+06 2.9130838595175724e+06 2.9051789796150671e+06 2.9193084244678849e+06 2.9670601859740652e+06 3.0659942237190446e+06 3.2439093772555664e+06 3.5476359863518346e+06 4.4311859485561494e+05 +1.4423674558186793e+01 1.6588815868799785e+07 1.6587103854094271e+07 1.6584181213214485e+07 1.6580187294531146e+07 1.6575827432043785e+07 1.6572314182515480e+07 1.6570236676200716e+07 1.6568641217202576e+07 1.6566470822991973e+07 1.6563386128813744e+07 1.6559358174789611e+07 1.6554252401234856e+07 1.6547866099539019e+07 1.6539978656216361e+07 1.6530348984842099e+07 1.6518689482024072e+07 1.6504654542241169e+07 1.6487838302860752e+07 1.6467766438044216e+07 1.6443883416767258e+07 1.6415542096261647e+07 1.6381978549966680e+07 1.6342162329846332e+07 1.6294325093861289e+07 1.6236440864112923e+07 1.6167505017356759e+07 1.6086540387941804e+07 1.5991944508360367e+07 1.5881750279556861e+07 1.5753758735433197e+07 1.5605570095992887e+07 1.5434608257178895e+07 1.5238162516545419e+07 1.5013453204385675e+07 1.4757728167969441e+07 1.4468392116721867e+07 1.4143177102541555e+07 1.3780351346864885e+07 1.3378965126423284e+07 1.2939116443253683e+07 1.2425287146914382e+07 1.1872469542687058e+07 1.1286708034359518e+07 1.0676349341183024e+07 1.0051789564880170e+07 9.4249121565209255e+06 8.8082398992815856e+06 8.2138976478892649e+06 7.6525563918471038e+06 7.1325045257214280e+06 6.6590903045644695e+06 6.2347093193741068e+06 5.8591289971171310e+06 5.5297331201899070e+06 5.2424911661182847e+06 4.9927829448897466e+06 4.7758131833736934e+06 4.5871197089064764e+06 4.4226994240250262e+06 4.2792558773550456e+06 4.1539053828573935e+06 4.0444170954032755e+06 3.9487859115698868e+06 3.8655629063455709e+06 3.7933468851959547e+06 3.7309755581043754e+06 3.6775444077836531e+06 3.6321179667275082e+06 3.5937927657802398e+06 3.5619016253902372e+06 3.5356293367013312e+06 3.5143623594243461e+06 3.4974055685390071e+06 3.4841487930217236e+06 3.4737735427692495e+06 3.4654881329711131e+06 3.4586875996972620e+06 3.4528057532133283e+06 3.4472990838004714e+06 3.4434165409446107e+06 3.4395007872250038e+06 3.4355072921336843e+06 3.4313252251192890e+06 3.4270112058826894e+06 3.4224426936703562e+06 3.4177652974385028e+06 3.4125734308372908e+06 3.4070169771100008e+06 3.4009936796107111e+06 3.3944236881233645e+06 3.3872099718629410e+06 3.3792432232314479e+06 3.3703680193218337e+06 3.3605955796824181e+06 3.3495663085485762e+06 3.3372004990763529e+06 3.3233187180441534e+06 3.3077278679638891e+06 3.2902288157134196e+06 3.2706218241643589e+06 3.2486875568934162e+06 3.2244494290763810e+06 3.1974922948363447e+06 3.1679049605950904e+06 3.1357558768131142e+06 3.1012972144050673e+06 3.0649580227341005e+06 3.0275549466030565e+06 2.9903046402208474e+06 2.9551916582025960e+06 2.9247263639870607e+06 2.9028246890434092e+06 2.8949476501550418e+06 2.9090273349513169e+06 2.9566109260098953e+06 3.0551965418564170e+06 3.2324851237623328e+06 3.5351420753231142e+06 4.4137844684126537e+05 +1.4428642880961052e+01 1.6537235104643688e+07 1.6535528359859014e+07 1.6532614669144087e+07 1.6528632856413418e+07 1.6524285937068408e+07 1.6520782621034399e+07 1.6518710197766187e+07 1.6517117980327567e+07 1.6514952252157519e+07 1.6511874617486645e+07 1.6507856110990420e+07 1.6502762498057524e+07 1.6496391592173820e+07 1.6488523337307226e+07 1.6478917247888461e+07 1.6467286445144668e+07 1.6453286192481454e+07 1.6436511645658875e+07 1.6416489669612838e+07 1.6392666132990070e+07 1.6364395527593819e+07 1.6330915865066385e+07 1.6291199336587075e+07 1.6243482130328387e+07 1.6185743365323724e+07 1.6116980986843303e+07 1.6036220488892650e+07 1.5941863677928433e+07 1.5831948704137892e+07 1.5704282539421810e+07 1.5556471989484886e+07 1.5385948162568316e+07 1.5190008137581231e+07 1.4965880482829213e+07 1.4710821552046364e+07 1.4422244556536736e+07 1.4097889654790530e+07 1.3736032266563583e+07 1.3335728305887504e+07 1.2897079084892055e+07 1.2384669268204045e+07 1.1833401404918935e+07 1.1249308245552134e+07 1.0640717621053334e+07 1.0017999478613380e+07 9.3930047418830749e+06 8.7782192236231118e+06 8.1857292204427058e+06 7.6261689515913762e+06 7.1077952966757379e+06 6.6359328986634249e+06 6.2129626414051959e+06 5.8386460270326221e+06 5.5103696983742788e+06 5.2241119065114493e+06 4.9752644768535281e+06 4.7590459245379167e+06 4.5710076743204687e+06 4.4071593651502449e+06 4.2642153145359838e+06 4.1393015079413555e+06 4.0301946758486610e+06 3.9348966321565891e+06 3.8519634659928512e+06 3.7799988791284254e+06 3.7178446533790636e+06 3.6645994361179695e+06 3.6193310510027665e+06 3.5811392005489133e+06 3.5493590385845457e+06 3.5231782201947551e+06 3.5019853342804648e+06 3.4850876789232902e+06 3.4718771944773779e+06 3.4615382325389716e+06 3.4532818634125069e+06 3.4465052097071274e+06 3.4406440442685229e+06 3.4351567570040585e+06 3.4312878864789801e+06 3.4273859241555389e+06 3.4234064951777514e+06 3.4192391588123669e+06 3.4149403350976878e+06 3.4103879166949317e+06 3.4057269903720724e+06 3.4005534113352019e+06 3.3950165293333516e+06 3.3890144479034804e+06 3.3824675980720604e+06 3.3752792908294471e+06 3.3673406035836800e+06 3.3584966627116967e+06 3.3487586390997507e+06 3.3377682163530570e+06 3.3254459629002828e+06 3.3116130775325438e+06 3.2960771429116479e+06 3.2786397273104098e+06 3.2591017971358807e+06 3.2372447903062478e+06 3.2130920307275201e+06 3.1862298470897800e+06 3.1567467277410519e+06 3.1247108820464988e+06 3.0903735927160713e+06 3.0541623978809961e+06 3.0168910659048059e+06 2.9797719672377086e+06 2.9447826582690948e+06 2.9144246715396135e+06 2.8926001406788831e+06 2.8847508488365621e+06 2.8987809414991639e+06 2.9461969296467700e+06 3.0444352994329575e+06 3.2210994242187594e+06 3.5226903280977877e+06 4.3964497598601360e+05 +1.4433611203735310e+01 1.6485803203668015e+07 1.6484101691429008e+07 1.6481196913077230e+07 1.6477227167501466e+07 1.6472893156882742e+07 1.6469399748716537e+07 1.6467332398880733e+07 1.6465743419363040e+07 1.6463582350792546e+07 1.6460511763765145e+07 1.6456502687906938e+07 1.6451421213072300e+07 1.6445065673615076e+07 1.6437216569831820e+07 1.6427634015802342e+07 1.6416031855839172e+07 1.6402066220451474e+07 1.6385333281696066e+07 1.6365361092818510e+07 1.6341596919233503e+07 1.6313396883879153e+07 1.6280000932519699e+07 1.6240383889916552e+07 1.6192786464670157e+07 1.6135192862298116e+07 1.6066603591114528e+07 1.5986046798610721e+07 1.5891928555501157e+07 1.5782292249318933e+07 1.5654950776325453e+07 1.5507517512423586e+07 1.5337430760762887e+07 1.5141995362235824e+07 1.4918448101850355e+07 1.4664053816739244e+07 1.4376234195589365e+07 1.4052737478150003e+07 1.3691846257282523e+07 1.3292622060593801e+07 1.2855169489707772e+07 1.2344175761672100e+07 1.1794453858113172e+07 1.1212024883499749e+07 1.0605197806996847e+07 9.9843164698120654e+06 9.3611993396576196e+06 8.7482953509831131e+06 8.1576523492252771e+06 7.5998678962550983e+06 7.0831674644039581e+06 6.6128521764983917e+06 6.1912882790525155e+06 5.8182313934807889e+06 5.4910710377957048e+06 5.2057942290461753e+06 4.9578047855995754e+06 4.7423349781100731e+06 4.5549497926778002e+06 4.3916715682682106e+06 4.2492253592073126e+06 4.1247467924357434e+06 4.0160201500977110e+06 3.9210541409981591e+06 3.8384098520881133e+06 3.7666958652475635e+06 3.7047580205977261e+06 3.6516981196665578e+06 3.6065872662438233e+06 3.5685283239117707e+06 3.5368587721077115e+06 3.5107691202531634e+06 3.4896500794139612e+06 3.4728113627251489e+06 3.4596470149666141e+06 3.4493442200402385e+06 3.4411167942238087e+06 3.4343639398261253e+06 3.4285233857951639e+06 3.4230554153190940e+06 3.4192001709900866e+06 3.4153119535159343e+06 3.4113465431742687e+06 3.4071938877329878e+06 3.4029102082485566e+06 3.3983738293256965e+06 3.3937293173395325e+06 3.3885739641383947e+06 3.3830565877972045e+06 3.3770756508205365e+06 3.3705518645339538e+06 3.3633888805402680e+06 3.3554781599601880e+06 3.3466653765926273e+06 3.3369616528604585e+06 3.3260099473706139e+06 3.3137311029173550e+06 3.2999469481751565e+06 3.2844657436470808e+06 3.2670897566478979e+06 3.2476206547381058e+06 3.2258406475549429e+06 3.2017729680867610e+06 3.1750054145538625e+06 3.1456261583302193e+06 3.1137031685017818e+06 3.0794868425621148e+06 3.0434032125233784e+06 3.0062631800118457e+06 2.9692748461735765e+06 2.9344087928288244e+06 2.9041577513811053e+06 2.8824101042062463e+06 2.8745884657451781e+06 2.8885691336686853e+06 2.9358180846289871e+06 3.0337103804501262e+06 3.2097521558962483e+06 3.5102806104569635e+06 4.3791815740485635e+05 +1.4438579526509569e+01 1.6434519747643696e+07 1.6432823458913099e+07 1.6429927554692587e+07 1.6425969846440462e+07 1.6421648709930820e+07 1.6418165183994025e+07 1.6416102897946827e+07 1.6414517152710453e+07 1.6412360737256316e+07 1.6409297186030772e+07 1.6405297523953669e+07 1.6400228164677165e+07 1.6393887962307239e+07 1.6386057972290710e+07 1.6376498907111406e+07 1.6364925332680978e+07 1.6350994244802136e+07 1.6334302829723287e+07 1.6314380326537834e+07 1.6290675394500624e+07 1.6262545784302663e+07 1.6229233371732268e+07 1.6189715609464580e+07 1.6142237716863243e+07 1.6084788975353805e+07 1.6016372450962428e+07 1.5936018938434048e+07 1.5842138763046948e+07 1.5732780537833117e+07 1.5605763069796644e+07 1.5458706289524077e+07 1.5289055677763226e+07 1.5094123818004791e+07 1.4871155690711491e+07 1.4617424593430821e+07 1.4330360667724354e+07 1.4007720209414603e+07 1.3647792959282910e+07 1.3249646034809619e+07 1.2813387306706989e+07 1.2303806282273373e+07 1.1755626564097146e+07 1.1174857617989689e+07 1.0569789577837598e+07 9.9507402274137251e+06 9.3294956499048062e+06 8.7184679933849033e+06 8.1296667588365190e+06 7.5736529633612251e+06 7.0586207793630287e+06 6.5898479011889575e+06 6.1696860075134924e+06 5.7978848829600886e+06 5.4718369353353838e+06 5.1875379399937131e+06 4.9404036858176896e+06 4.7256801662553055e+06 4.5389458927299352e+06 4.3762358679405274e+06 4.2342858510274487e+06 4.1102410804699869e+06 4.0018933661983688e+06 3.9072582895699739e+06 3.8249019190871110e+06 3.7534377005921057e+06 3.6917155190301761e+06 3.6388403196084634e+06 3.5938864752602456e+06 3.5559600000481135e+06 3.5244006912838821e+06 3.4984019031440341e+06 3.4773564618595815e+06 3.4605764875894599e+06 3.4474581226179926e+06 3.4371913737823255e+06 3.4289927942216806e+06 3.4222636591246687e+06 3.4164436470834003e+06 3.4109949282456217e+06 3.4071532641219590e+06 3.4032787451000139e+06 3.3993273060656213e+06 3.3951892819840512e+06 3.3909206956010102e+06 3.3864003019967317e+06 3.3817721489567556e+06 3.3766349600563357e+06 3.3711370235261824e+06 3.3651771596152605e+06 3.3586763590078768e+06 3.3515386127700671e+06 3.3436557644374976e+06 3.3348740333721889e+06 3.3252044937502383e+06 3.3142913748034304e+06 3.3020557927970877e+06 3.2883202041606954e+06 3.2728935449565621e+06 3.2555787791711530e+06 3.2361782731570830e+06 3.2144750056596301e+06 3.1904921190884868e+06 3.1638188761855043e+06 3.1345431324388939e+06 3.1027326174685569e+06 3.0686368465436720e+06 3.0326803506335877e+06 2.9956711743129329e+06 2.9588131638294784e+06 2.9240699500115113e+06 2.8939254927917989e+06 2.8722544697393803e+06 2.8644603912907159e+06 2.8783918013329804e+06 2.9254742790338728e+06 3.0230216692526476e+06 3.1984431964276261e+06 3.4979127885705773e+06 4.3619796630206436e+05 +1.4443547849283828e+01 1.6383384423085948e+07 1.6381693276451752e+07 1.6378806208596511e+07 1.6374860512610910e+07 1.6370552215481779e+07 1.6367078546064507e+07 1.6365021314153185e+07 1.6363438799538691e+07 1.6361287030726813e+07 1.6358230503457926e+07 1.6354240238305315e+07 1.6349182972078366e+07 1.6342858077449843e+07 1.6335047163911806e+07 1.6325511541118467e+07 1.6313966495039910e+07 1.6300069884983957e+07 1.6283419909296831e+07 1.6263546990434963e+07 1.6239901178620016e+07 1.6211841848848481e+07 1.6178612802876182e+07 1.6139194115687482e+07 1.6091835507647812e+07 1.6034531325635744e+07 1.5966287187982248e+07 1.5886136530473489e+07 1.5792493923339063e+07 1.5683413193233764e+07 1.5556719044257648e+07 1.5410037946298709e+07 1.5240822540315874e+07 1.5046393133167556e+07 1.4824002879488003e+07 1.4570933514264761e+07 1.4284623607598169e+07 1.3962837486146359e+07 1.3603872013592318e+07 1.3206799873617867e+07 1.2771732185680825e+07 1.2263560485715223e+07 1.1716919185502717e+07 1.1137806119608101e+07 1.0534492613186793e+07 9.9172704411584008e+06 9.2978933734540734e+06 8.6887368635991253e+06 8.1017721746170502e+06 7.5475238911328297e+06 7.0341549926835904e+06 6.5669198364959769e+06 6.1481556026133494e+06 5.7776062825695202e+06 5.4526671884540897e+06 5.1693428461897988e+06 4.9230609927303512e+06 4.7090813116351496e+06 4.5229958037298769e+06 4.3608520992027968e+06 4.2193966301201368e+06 4.0957842166348333e+06 3.9878141726438110e+06 3.8935089297735612e+06 3.8114395218654848e+06 3.7402242426195196e+06 3.6787170083551393e+06 3.6260258975303429e+06 3.5812285412518447e+06 3.5434340935330177e+06 3.5119846618235661e+06 3.4860764355256846e+06 3.4651043490344030e+06 3.4483829215479055e+06 3.4353103859445243e+06 3.4250795626591798e+06 3.4169097326044133e+06 3.4102042370544691e+06 3.4044046978080454e+06 3.3989751656650496e+06 3.3951470359034711e+06 3.3912861690802714e+06 3.3873486541797961e+06 3.3832252120489967e+06 3.3789716678032023e+06 3.3744672055291957e+06 3.3698553562170272e+06 3.3647362702820012e+06 3.3592577079203399e+06 3.3533188459142703e+06 3.3468409533673553e+06 3.3397283596636527e+06 3.3318732894637142e+06 3.3231225058414494e+06 3.3134870349163725e+06 3.3026123722160598e+06 3.2904199065750083e+06 3.2767327200525035e+06 3.2613604219857221e+06 3.2441066706874315e+06 3.2247745289422222e+06 3.2031477419952843e+06 3.1792493620256474e+06 3.1526701112912046e+06 3.1234975304930066e+06 3.0917991105854879e+06 3.0578234875965752e+06 3.0219936965252724e+06 2.9851149345326866e+06 2.9483868073315541e+06 2.9137660182709899e+06 2.8837277853763169e+06 2.8621331277064607e+06 2.8543665162026105e+06 2.8682488346881745e+06 2.9151654012626377e+06 3.0123690505186250e+06 3.1871724238002496e+06 3.4855867290071733e+06 4.3448437797087926e+05 +1.4448516172058087e+01 1.6332396757875575e+07 1.6330710746972226e+07 1.6327832499655226e+07 1.6323898785931172e+07 1.6319603293497939e+07 1.6316139454931738e+07 1.6314087267476793e+07 1.6312507979810754e+07 1.6310360851154700e+07 1.6307311335985506e+07 1.6303330450919684e+07 1.6298285255253531e+07 1.6291975639067603e+07 1.6284183764753018e+07 1.6274671537908867e+07 1.6263154963061890e+07 1.6249292761234237e+07 1.6232684140729263e+07 1.6212860704948695e+07 1.6189273892160863e+07 1.6161284698279494e+07 1.6128138846952336e+07 1.6088819029812535e+07 1.6041579458563803e+07 1.5984419535061846e+07 1.5916347424524143e+07 1.5836399197663978e+07 1.5742993659939691e+07 1.5634189839827711e+07 1.5507818324923426e+07 1.5361512109037386e+07 1.5192730976007860e+07 1.4998802936786763e+07 1.4776989299026379e+07 1.4524580212211315e+07 1.4239022650656566e+07 1.3918088946752580e+07 1.3560083062025612e+07 1.3164083222907415e+07 1.2730203777254578e+07 1.2223438028559702e+07 1.1678331385772090e+07 1.1100870059740024e+07 1.0499306593472555e+07 9.8839068015437201e+06 9.2663922119014785e+06 8.6591016751551684e+06 8.0739683226226373e+06 7.5214804185038870e+06 7.0097698561981143e+06 6.5440677468320513e+06 6.1266968408047492e+06 5.7573953800137937e+06 5.4335615951814167e+06 5.1512087550156545e+06 4.9057765220901957e+06 4.6925382374369819e+06 4.5070993554119393e+06 4.3455200975686423e+06 4.2045575370733626e+06 4.0813760459618666e+06 3.9737824183641793e+06 3.8798059139489927e+06 3.7980225157203204e+06 3.7270553491978548e+06 3.6657623486647708e+06 3.6132547154204911e+06 3.5686133278303095e+06 3.5309504693343216e+06 3.4996105498378659e+06 3.4737925844353153e+06 3.4528936087445496e+06 3.4362305330163632e+06 3.4232036738456041e+06 3.4130086559450948e+06 3.4048674789550137e+06 3.3981855434503928e+06 3.3924064080167129e+06 3.3869959978336636e+06 3.3831813567365264e+06 3.3793340960143027e+06 3.3754104582171277e+06 3.3713015487923934e+06 3.3670629958738238e+06 3.3625744111156375e+06 3.3579788104973841e+06 3.3528777663813662e+06 3.3474185127507332e+06 3.3415005817208635e+06 3.3350455198653154e+06 3.3279579937463314e+06 3.3201306078572418e+06 3.3114106671463288e+06 3.3018091498849485e+06 3.2909728135519749e+06 3.2788233186526955e+06 3.2651843707707846e+06 3.2498662502461984e+06 3.2326733073699991e+06 3.2134092990022157e+06 3.1918587342952467e+06 3.1680445755424816e+06 3.1415589995349790e+06 3.1124892332673427e+06 3.0809025298393387e+06 3.0470466490046801e+06 3.0113431348441001e+06 2.9745943467259365e+06 2.9379956641415339e+06 2.9034968863869971e+06 2.8735645190576357e+06 2.8520459688609177e+06 2.8443067315271855e+06 2.8581401242559408e+06 2.9048913400403401e+06 3.0017524092639815e+06 3.1759397163579506e+06 3.4733022987171779e+06 4.3277736779320770e+05 +1.4453484494832345e+01 1.6281556310744034e+07 1.6279875493122591e+07 1.6277006059153484e+07 1.6273084286718961e+07 1.6268801564792132e+07 1.6265347531354709e+07 1.6263300378642440e+07 1.6261724314258203e+07 1.6259581819265492e+07 1.6256539304355705e+07 1.6252567782546403e+07 1.6247534634958319e+07 1.6241240267921358e+07 1.6233467395634750e+07 1.6223978518348811e+07 1.6212490357682515e+07 1.6198662494546538e+07 1.6182095145116650e+07 1.6162321091300316e+07 1.6138793156505739e+07 1.6110873954142610e+07 1.6077811125695232e+07 1.6038589973837918e+07 1.5991469191931132e+07 1.5934453226323618e+07 1.5866552783762807e+07 1.5786806563693238e+07 1.5693637597185116e+07 1.5585110102724506e+07 1.5459060537843950e+07 1.5313128404837156e+07 1.5144780613209192e+07 1.4951352858736815e+07 1.4730114580980862e+07 1.4478364321036644e+07 1.4193557433161702e+07 1.3873474230402909e+07 1.3516425747235684e+07 1.3121495729367865e+07 1.2688801732831016e+07 1.2183438568140028e+07 1.1639862829132441e+07 1.1064049110552844e+07 1.0464231199872507e+07 9.8506489998544455e+06 9.2349918676025663e+06 8.6295621423174217e+06 8.0462549296448641e+06 7.4955222851100396e+06 6.9854651223980542e+06 6.5212913972802004e+06 6.1053094991708864e+06 5.7372519635903798e+06 5.4145199541257042e+06 5.1331354744118368e+06 4.8885500901730377e+06 4.6760507673427584e+06 4.4912563780073700e+06 4.3302396990350913e+06 4.1897684129345859e+06 4.0670164139373689e+06 3.9597979527302575e+06 3.8661490948580159e+06 3.7846507563733538e+06 3.7139308786097537e+06 3.6528514004534162e+06 3.6005266356751574e+06 3.5560406990006161e+06 3.5185089928192641e+06 3.4872782218192494e+06 3.4615502173104589e+06 3.4407241091898507e+06 3.4241191907986002e+06 3.4111378555977880e+06 3.4009785233009504e+06 3.3928659032324902e+06 3.3862074485235019e+06 3.3804486481468049e+06 3.3750572953889021e+06 3.3712560974126314e+06 3.3674223968281881e+06 3.3635125892609870e+06 3.3594181634481256e+06 3.3551945512193092e+06 3.3507217903286126e+06 3.3461423835369991e+06 3.3410593202957422e+06 3.3356193101698714e+06 3.3297222394088004e+06 3.3232899311240553e+06 3.3162273879063600e+06 3.3084275928131840e+06 3.2997383908182662e+06 3.2901707125462857e+06 3.2793725731132412e+06 3.2672659038032293e+06 3.2536750316104260e+06 3.2384109056158811e+06 3.2212785657493761e+06 3.2020824606049145e+06 3.1806078606521357e+06 3.1568776386424038e+06 3.1304854209270976e+06 3.1015181218825104e+06 3.0700427575571518e+06 3.0363062143905009e+06 3.0007285505787460e+06 2.9641092972848602e+06 2.9276396220439612e+06 2.8932624434643681e+06 2.8634355840896331e+06 2.8419928842711835e+06 2.8342809286277327e+06 2.8480655608677650e+06 2.8946519844181128e+06 2.9911716308426457e+06 3.1647449527976639e+06 3.4610593650421593e+06 4.3107691123932350e+05 +1.4458452817606604e+01 1.6230862848182853e+07 1.6229187156016568e+07 1.6226326513358636e+07 1.6222416635991044e+07 1.6218146650886163e+07 1.6214702396870729e+07 1.6212660269191423e+07 1.6211087424422059e+07 1.6208949556571910e+07 1.6205914030091017e+07 1.6201951854692891e+07 1.6196930732712986e+07 1.6190651585595047e+07 1.6182897678140135e+07 1.6173432104081849e+07 1.6161972300612930e+07 1.6148178706704592e+07 1.6131652544365214e+07 1.6111927771507610e+07 1.6088458593796546e+07 1.6060609238765333e+07 1.6027629261664841e+07 1.5988506570555590e+07 1.5941504330860818e+07 1.5884632022901256e+07 1.5816902889640577e+07 1.5737358253035497e+07 1.5644425360219799e+07 1.5536173607824737e+07 1.5410445309783669e+07 1.5264886461573428e+07 1.5096971081049055e+07 1.4904042529674251e+07 1.4683378357780635e+07 1.4432285475279605e+07 1.4148227592148010e+07 1.3828992977082223e+07 1.3472899712667130e+07 1.3079037040481672e+07 1.2647525704627354e+07 1.2143561762583718e+07 1.1601513180627171e+07 1.1027342945019903e+07 1.0429266114374422e+07 9.8174967281553727e+06 9.2036920436848477e+06 8.6001179801032785e+06 8.0186317231920799e+06 7.4696492312845839e+06 6.9612405444638282e+06 6.4985905535575217e+06 6.0839933554083072e+06 5.7171758222101694e+06 5.3955420644675661e+06 5.1151228128527356e+06 4.8713815137902815e+06 4.6596187255563345e+06 4.4754667022395069e+06 4.3150107400621483e+06 4.1750290992117054e+06 4.0527051665004492e+06 3.9458606255470254e+06 3.8525383256919221e+06 3.7713240999616459e+06 3.7008506895490158e+06 3.6399840246256622e+06 3.5878415210818173e+06 3.5435105191570036e+06 3.5061095297409059e+06 3.4749875446598562e+06 3.4493492019720459e+06 3.4285957189366841e+06 3.4120487640801505e+06 3.3991128008656758e+06 3.3889890347627937e+06 3.3809048757825932e+06 3.3742698228691472e+06 3.3685312890094705e+06 3.3631589293546723e+06 3.3593711290854453e+06 3.3555509428339102e+06 3.3516549187688320e+06 3.3475749276281386e+06 3.3433662056109351e+06 3.3389092151194871e+06 3.3343459474604460e+06 3.3292808043442392e+06 3.3238599727048739e+06 3.3179836917297724e+06 3.3115740601360006e+06 3.3045364154166821e+06 3.2967641178952972e+06 3.2881055507511329e+06 3.2785715971624120e+06 3.2678115255738292e+06 3.2557475371578173e+06 3.2422045782247647e+06 3.2269942643330884e+06 3.2099223227208806e+06 3.1907938913785708e+06 3.1693949995149532e+06 3.1457484306772202e+06 3.1194492558323154e+06 3.0905840778107913e+06 3.0592196764149605e+06 3.0256020677161282e+06 2.9901498290487789e+06 2.9536596729285507e+06 2.9173185691561401e+06 2.8830625789331086e+06 2.8533408710389952e+06 2.8319737653298210e+06 2.8242889991940265e+06 2.8380250356850768e+06 2.8844472237742716e+06 2.9806266009400352e+06 3.1535880121801766e+06 3.4488577957128542e+06 4.2938298386756395e+05 +1.4463421140380863e+01 1.6180315902233317e+07 1.6178645359163530e+07 1.6175793482554395e+07 1.6171895455721641e+07 1.6167638174100984e+07 1.6164203673799081e+07 1.6162166561414413e+07 1.6160596932578940e+07 1.6158463685364949e+07 1.6155435135462392e+07 1.6151482289677227e+07 1.6146473170862032e+07 1.6140209214421602e+07 1.6132474234660495e+07 1.6123031917543959e+07 1.6111600414329130e+07 1.6097841020290483e+07 1.6081355961130749e+07 1.6061680368343633e+07 1.6038269826959478e+07 1.6010490175253427e+07 1.5977592878157025e+07 1.5938568443551965e+07 1.5891684499225229e+07 1.5834955549079001e+07 1.5767397366871154e+07 1.5688053890985781e+07 1.5595356574941559e+07 1.5487379981803343e+07 1.5361972268365737e+07 1.5216785907911031e+07 1.5049302009495987e+07 1.4856871581053717e+07 1.4636780262689065e+07 1.4386343310312783e+07 1.4103032765464908e+07 1.3784644827579957e+07 1.3429504602547707e+07 1.3036706804533750e+07 1.2606375345663430e+07 1.2103807270838561e+07 1.1563282106081916e+07 1.0990751236897005e+07 1.0394411019746736e+07 9.7844496792683713e+06 9.1724924440274164e+06 8.5707689042689763e+06 7.9910984315103423e+06 7.4438609980749441e+06 6.9370958762525031e+06 6.4759649820397990e+06 6.0627481878478071e+06 5.6971667453604965e+06 5.3766277259594323e+06 5.0971705793770691e+06 4.8542706102714874e+06 4.6432419367717626e+06 4.4597301593186827e+06 4.2998330575924655e+06 4.1603394378738981e+06 4.0384421500251596e+06 3.9319702870574794e+06 3.8389734600731619e+06 3.7580424030423919e+06 3.6878146411264800e+06 3.6271600824867133e+06 3.5751992348396736e+06 3.5310226530986601e+06 3.4937519462489951e+06 3.4627383856302826e+06 3.4371894066258329e+06 3.4165083069551149e+06 3.4000191224268372e+06 3.3871283796944078e+06 3.3770400607514619e+06 3.3689842673229254e+06 3.3623725374561101e+06 3.3566542017928334e+06 3.3513007711173189e+06 3.3475263233014857e+06 3.3437196057121456e+06 3.3398373185738917e+06 3.3357717133303746e+06 3.3315778311980069e+06 3.3271365578059326e+06 3.3225893747637812e+06 3.3175420912109637e+06 3.3121403732476709e+06 3.3062848118060916e+06 3.2998977802697490e+06 3.2928849499052451e+06 3.2851400570351323e+06 3.2765120212072311e+06 3.2670116783618624e+06 3.2562895459743319e+06 3.2442680942224734e+06 3.2307728866348942e+06 3.2156162029969166e+06 3.1986044555371846e+06 3.1795434693066040e+06 3.1582200296853166e+06 3.1346568313570633e+06 3.1084503849626165e+06 3.0796869828694593e+06 3.0484331694273199e+06 3.0149340932817375e+06 2.9796068559137811e+06 2.9432453607109627e+06 2.9070323939221716e+06 2.8728971825448647e+06 2.8432802707931302e+06 2.8219885037349379e+06 2.8143308352198824e+06 2.8280184401803007e+06 2.8742769478082736e+06 2.9701172055808487e+06 3.1424687739067804e+06 3.4366974588460573e+06 4.2769556132402987e+05 +1.4468389463155122e+01 1.6129914998978123e+07 1.6128249717158679e+07 1.6125406586035175e+07 1.6121520369066972e+07 1.6117275757522827e+07 1.6113850985231755e+07 1.6111818878383389e+07 1.6110252461824330e+07 1.6108123828697110e+07 1.6105102243549073e+07 1.6101158710550023e+07 1.6096161572480274e+07 1.6089912777516481e+07 1.6082196688348785e+07 1.6072777581931673e+07 1.6061374322116839e+07 1.6047649058641883e+07 1.6031205018862501e+07 1.6011578505390882e+07 1.5988226479729988e+07 1.5960516387494497e+07 1.5927701599279620e+07 1.5888775217180649e+07 1.5842009321712581e+07 1.5785423429889970e+07 1.5718035840980263e+07 1.5638893103574445e+07 1.5546430868053555e+07 1.5438728852132304e+07 1.5313641041946212e+07 1.5168826373308858e+07 1.5001773029268354e+07 1.4809839645117320e+07 1.4590319929721091e+07 1.4340537462260440e+07 1.4057972591741543e+07 1.3740429423465351e+07 1.3386240061920479e+07 1.2994504670615895e+07 1.2565350309742989e+07 1.2064174752642959e+07 1.1525169272121269e+07 1.0954273660744488e+07 1.0359665599540252e+07 9.7515075468049496e+06 9.1413927732689343e+06 8.5415146313116923e+06 7.9636547835576301e+06 7.4181573272180837e+06 6.9130308722855803e+06 6.4534144497503545e+06 6.0415737754387986e+06 5.6772245231373366e+06 5.3577767389218938e+06 5.0792785835596016e+06 4.8372171974789817e+06 4.6269202262078943e+06 4.4440465809401590e+06 4.2847064890308604e+06 4.1456992713491451e+06 4.0242272113435091e+06 3.9181267879390521e+06 3.8254543520450573e+06 3.7448055225948100e+06 3.6748225928580766e+06 3.6143794357528798e+06 3.5625996405358082e+06 3.5185769660180630e+06 3.4814361088868901e+06 3.4505306123970607e+06 3.4250706998573877e+06 3.4044617425915971e+06 3.3880301357871597e+06 3.3751844625050542e+06 3.3651314720632150e+06 3.3571039489564952e+06 3.3505154636394316e+06 3.3448172580624102e+06 3.3394826924539763e+06 3.3357215519719124e+06 3.3319282575301854e+06 3.3280596608843408e+06 3.3240083929116195e+06 3.3198293005105406e+06 3.3154036910799076e+06 3.3108725383160007e+06 3.3058430539616458e+06 3.3004603850694071e+06 3.2946254731277628e+06 3.2882609652628149e+06 3.2812728653800013e+06 3.2735552845349256e+06 3.2649576768227876e+06 3.2554908311372837e+06 3.2448065097199683e+06 3.2328274508597916e+06 3.2193798332213946e+06 3.2042765985719659e+06 3.1873248418090148e+06 3.1683310727344449e+06 3.1470828303228971e+06 3.1236027207387574e+06 3.0974886893794462e+06 3.0688267192217400e+06 3.0376831199518456e+06 3.0043021757304291e+06 2.9690995171674201e+06 2.9328662480167137e+06 2.8967809851060649e+06 2.8627661443739585e+06 2.8332536745627210e+06 2.8120369915174781e+06 2.8044063290240588e+06 2.8180456661460302e+06 2.8641410465390985e+06 2.9596433311174978e+06 3.1313871177418120e+06 3.4245782229444832e+06 4.2601461934228806e+05 +1.4473357785929380e+01 1.6079659970313903e+07 1.6077999829976145e+07 1.6075165442511681e+07 1.6071291000361377e+07 1.6067059024971172e+07 1.6063643955014512e+07 1.6061616843944969e+07 1.6060053636003930e+07 1.6057929610423416e+07 1.6054914978203548e+07 1.6050980741199056e+07 1.6045995561453177e+07 1.6039761898787398e+07 1.6032064663139405e+07 1.6022668721239747e+07 1.6011293648019651e+07 1.5997602445891589e+07 1.5981199341783080e+07 1.5961621806986229e+07 1.5938328176585823e+07 1.5910687500162601e+07 1.5877955049918378e+07 1.5839126516570708e+07 1.5792478423760407e+07 1.5736035291182054e+07 1.5668817938240640e+07 1.5589875517651880e+07 1.5497647867048573e+07 1.5390219847064074e+07 1.5265451259695023e+07 1.5121007488004645e+07 1.4954383771875886e+07 1.4762946354913665e+07 1.4543996993707476e+07 1.4294867568073228e+07 1.4013046710430436e+07 1.3696346407127971e+07 1.3343105736608798e+07 1.2952430288606972e+07 1.2524450251476640e+07 1.2024663868522672e+07 1.1487174346157964e+07 1.0917909891890004e+07 1.0325029538080499e+07 9.7186700251526702e+06 9.1103927368116379e+06 8.5123548784764837e+06 7.9363005090174731e+06 7.3925379611524818e+06 6.8890452877724245e+06 6.4309387243595812e+06 6.0204698977465425e+06 5.6573489462242434e+06 5.3389889042486018e+06 5.0614466355247498e+06 4.8202210937919850e+06 4.6106534195694346e+06 4.4284157992897257e+06 4.2696308722651098e+06 4.1311084425205537e+06 4.0100601977257649e+06 3.9043299793062410e+06 3.8119808560802517e+06 3.7316133160094195e+06 3.6618744046714539e+06 3.6016419465415790e+06 3.5500426021652198e+06 3.5061733234975399e+06 3.4691618845793703e+06 3.4383640930101844e+06 3.4129929506530059e+06 3.3924558955671997e+06 3.3760816744889268e+06 3.3632809201004570e+06 3.3532631398764295e+06 3.3452637921555694e+06 3.3386984731377782e+06 3.3330203297641058e+06 3.3277045655052797e+06 3.3239566873843283e+06 3.3201767707182919e+06 3.3163218182867235e+06 3.3122848391161263e+06 3.3081204864439964e+06 3.3037104880141788e+06 3.2991953113551252e+06 3.2941835660276795e+06 3.2888198818098237e+06 3.2830055495579136e+06 3.2766634892205480e+06 3.2697000362161589e+06 3.2620096750617842e+06 3.2534423925930671e+06 3.2440089308526716e+06 3.2333622925802511e+06 3.2214254832995972e+06 3.2080252947290116e+06 3.1929753283764762e+06 3.1760833595096278e+06 3.1571565803560107e+06 3.1359832809377857e+06 3.1125859792347034e+06 3.0865640504960013e+06 3.0580031693706037e+06 3.0269694116910473e+06 2.9937062000384983e+06 2.9586276991314408e+06 2.9225222225558669e+06 2.8865642318074778e+06 2.8526693548192563e+06 2.8232609738718709e+06 2.8021191210130099e+06 2.7945153732389803e+06 2.8081066056936663e+06 2.8540394103143038e+06 2.9492048642389541e+06 3.1203429237952670e+06 3.4124999568926552e+06 4.2434013374307251e+05 +1.4478326108703639e+01 1.6029550351757487e+07 1.6027895348606037e+07 1.6025069670845682e+07 1.6021206974909429e+07 1.6016987601026243e+07 1.6013582207807453e+07 1.6011560082729081e+07 1.6010000079751147e+07 1.6007880655169543e+07 1.6004872964045612e+07 1.6000948006241625e+07 1.5995974762418937e+07 1.5989756202912265e+07 1.5982077783755092e+07 1.5972704960227830e+07 1.5961358016842870e+07 1.5947700806941520e+07 1.5931338554899661e+07 1.5911809898251036e+07 1.5888574542799842e+07 1.5861003138701629e+07 1.5828352855731586e+07 1.5789621967651604e+07 1.5743091431584630e+07 1.5686790759550782e+07 1.5619743285726154e+07 1.5541000760822641e+07 1.5449007200185981e+07 1.5341852595643595e+07 1.5217402551559791e+07 1.5073328883038642e+07 1.4907133869645376e+07 1.4716191344254807e+07 1.4497811090257615e+07 1.4249333265466185e+07 1.3968254761737522e+07 1.3652395421725977e+07 1.3300101273254016e+07 1.2910483309191659e+07 1.2483674826279098e+07 1.1985274279804207e+07 1.1449296996415030e+07 1.0881659606461450e+07 1.0290502520479690e+07 9.6859368094416074e+06 9.0794920408060923e+06 8.4832893637418598e+06 7.9090353382814154e+06 7.3670026430103304e+06 6.8651388785811840e+06 6.4085375741790002e+06 5.9994363349616593e+06 5.6375398059031311e+06 5.3202640233971560e+06 5.0436745459425235e+06 4.8032821181217041e+06 4.5944413430760494e+06 4.4128376470358549e+06 4.2546060456398260e+06 4.1165667947272169e+06 3.9959409568879218e+06 3.8905797127051116e+06 3.7985528270708653e+06 3.7184656410958553e+06 3.6489699369059107e+06 3.5889474773691371e+06 3.5375279841168718e+06 3.4938115915142344e+06 3.4569291406486440e+06 3.4262386959017413e+06 3.4009560283628181e+06 3.3804906359943296e+06 3.3641736092449934e+06 3.3514176236629691e+06 3.3414349357385645e+06 3.3334636687766635e+06 3.3269214380569868e+06 3.3212632892083717e+06 3.3159662627918734e+06 3.3122316022036755e+06 3.3084650180822224e+06 3.3046236637318474e+06 3.3006009250482749e+06 3.2964512622683360e+06 3.2920568220442440e+06 3.2875575674965605e+06 3.2825635012150584e+06 3.2772187374758497e+06 3.2714249153301986e+06 3.2651052266179966e+06 3.2581663371546092e+06 3.2505031036567129e+06 3.2419660438832436e+06 3.2325658532324703e+06 3.2219567706901198e+06 3.2100620681311633e+06 3.1967091482593538e+06 3.1817122700961605e+06 3.1648798869681633e+06 3.1460198712288146e+06 3.1249212613976561e+06 3.1016064876029342e+06 3.0756763500661333e+06 3.0472162161733205e+06 3.0162919286799473e+06 2.9831460515219788e+06 2.9481912884659632e+06 2.9122131723717265e+06 2.8763820234455545e+06 2.8426067045947094e+06 2.8133020605663382e+06 2.7922347848740332e+06 2.7846578608059213e+06 2.7982011512428662e+06 2.8439719297987018e+06 2.9388016919636554e+06 3.1093360725319693e+06 3.4004625299633401e+06 4.2267208043398580e+05 +1.4483294431477898e+01 1.5979585830237672e+07 1.5977935880212089e+07 1.5975118893115668e+07 1.5971267918682650e+07 1.5967061110954927e+07 1.5963665369017743e+07 1.5961648220107095e+07 1.5960091418480167e+07 1.5957976588338211e+07 1.5954975826474732e+07 1.5951060131082581e+07 1.5946098800825194e+07 1.5939895315350242e+07 1.5932235675677584e+07 1.5922885924434219e+07 1.5911567054218542e+07 1.5897943767481420e+07 1.5881622283997335e+07 1.5862142405083254e+07 1.5838965204420909e+07 1.5811462929339563e+07 1.5778894643156288e+07 1.5740261197100770e+07 1.5693847972225074e+07 1.5637689462397659e+07 1.5570811511299998e+07 1.5492268461500376e+07 1.5400508496519133e+07 1.5293626727673555e+07 1.5169494548268167e+07 1.5025790190212674e+07 1.4860022955671387e+07 1.4669574247742379e+07 1.4451761855772646e+07 1.4203934192982636e+07 1.3923596386698024e+07 1.3608576111227660e+07 1.3257226319269814e+07 1.2868663383854687e+07 1.2443023690351151e+07 1.1946005648616377e+07 1.1411536891883979e+07 1.0845522481376644e+07 1.0256084232627405e+07 9.6533075956016593e+06 9.0486903921619970e+06 8.4543178058370128e+06 7.8818590024809204e+06 7.3415511166278804e+06 6.8413114012592360e+06 6.3862107681678161e+06 5.9784728678922206e+06 5.6177968940467574e+06 5.3016018983883504e+06 5.0259621260186238e+06 4.7864000898860283e+06 4.5782838234410500e+06 4.3973119573357124e+06 4.2396318479821412e+06 4.1020741717661237e+06 3.9818693369893548e+06 3.8768758401133721e+06 3.7851701203360148e+06 3.7053623560774992e+06 3.6361090503026997e+06 3.5762958911603708e+06 3.5250556511748238e+06 3.4814916364380317e+06 3.4447377448017648e+06 3.4141542899001860e+06 3.3889598027328830e+06 3.3685658343616538e+06 3.3523058111413782e+06 3.3395944447486592e+06 3.3296467315831897e+06 3.3217034510461390e+06 3.3151842308699777e+06 3.3095460090903458e+06 3.3042676572101959e+06 3.3005461694665765e+06 3.2967928728065793e+06 3.2929650705496934e+06 3.2889565241935127e+06 3.2848215016230904e+06 3.2804425669813142e+06 3.2759591807200848e+06 3.2709827336930311e+06 3.2656568264472852e+06 3.2598834450431978e+06 3.2535860522966250e+06 3.2466716433042539e+06 3.2390354457172137e+06 3.2305285064230431e+06 3.2211614743656791e+06 3.2105898205444119e+06 3.1987370823081154e+06 3.1854312712797918e+06 3.1704873017644342e+06 3.1537143028648342e+06 3.1349208247541809e+06 3.1138966519140285e+06 3.0906641269558989e+06 3.0648254701948618e+06 3.0364657428201428e+06 3.0056505553054609e+06 2.9726216158287697e+06 2.9377901721634585e+06 2.9019389858328453e+06 2.8662342497586817e+06 2.8325780847427347e+06 2.8033768268060517e+06 2.7823838760713781e+06 2.7748336849872605e+06 2.7883291955370330e+06 2.8339384959757300e+06 2.9284337016429184e+06 3.0983664447649494e+06 3.3884658118098676e+06 4.2101043540920486e+05 +1.4488262754252156e+01 1.5929766014766598e+07 1.5928121063726950e+07 1.5925312736341259e+07 1.5921473458059216e+07 1.5917279180746196e+07 1.5913893064819314e+07 1.5911880882275132e+07 1.5910327278356349e+07 1.5908217036082886e+07 1.5905223191672595e+07 1.5901316741917592e+07 1.5896367302854594e+07 1.5890178862309067e+07 1.5882537965164680e+07 1.5873211240169721e+07 1.5861920386507267e+07 1.5848330953966713e+07 1.5832050155632887e+07 1.5812618954163272e+07 1.5789499788269358e+07 1.5762066499078512e+07 1.5729580039419359e+07 1.5691043832405832e+07 1.5644747673438430e+07 1.5588731027895281e+07 1.5522022243583707e+07 1.5443678248862872e+07 1.5352151385890210e+07 1.5245541873765975e+07 1.5121726881354868e+07 1.4978391042140845e+07 1.4813050663822269e+07 1.4623094700772533e+07 1.4405848927454762e+07 1.4158669989929054e+07 1.3879071227119938e+07 1.3564888120394485e+07 1.3214480522877377e+07 1.2826970164858958e+07 1.2402496500685001e+07 1.1906857637871180e+07 1.1373893702367118e+07 1.0809498194335746e+07 1.0221774361195333e+07 9.6207820803068653e+06 9.0179874985583834e+06 8.4254399242119808e+06 7.8547712334420998e+06 7.3161831265238766e+06 6.8175626130164610e+06 6.3639580759282056e+06 5.9575792779503195e+06 5.5981200031145895e+06 5.2830023318220656e+06 5.0083091875077076e+06 4.7695748290343611e+06 4.5621806878864737e+06 4.3818385638230648e+06 4.2247081185762938e+06 4.0876304178835945e+06 3.9678451866289154e+06 3.8632182139374325e+06 3.7718325916098272e+06 3.6923033195870412e+06 3.6232916060135108e+06 3.5636870512330998e+06 3.5126254685159954e+06 3.4692133250310989e+06 3.4325875651291837e+06 3.4021107442037500e+06 3.3770041438865215e+06 3.3566813615355822e+06 3.3404781516396948e+06 3.3278112552899476e+06 3.3178983997140289e+06 3.3099830115671898e+06 3.3034867244259482e+06 3.2978683624717686e+06 3.2926086220215880e+06 3.2889002625810467e+06 3.2851602084397497e+06 3.2813459124389077e+06 3.2773515104041304e+06 3.2732310785207609e+06 3.2688675970050534e+06 3.2644000253759986e+06 3.2594411380073926e+06 3.2541340234692246e+06 3.2483810136653511e+06 3.2421058414688488e+06 3.2352158301363559e+06 3.2276065770143359e+06 3.2191296563067040e+06 3.2097956707053944e+06 3.1992613190014819e+06 3.1874504031435647e+06 3.1741915416105408e+06 3.1593003017828767e+06 3.1425864862444871e+06 3.1238593206963800e+06 3.1029093330571069e+06 3.0797587787492019e+06 3.0540112933318270e+06 3.0257516328503154e+06 2.9950451762818652e+06 2.9621327789447582e+06 2.9274242375420281e+06 2.8916995516382228e+06 2.8561208008167539e+06 2.8225833866157890e+06 2.7934851650676713e+06 2.7725662878847406e+06 2.7650427393529359e+06 2.7784906316287746e+06 2.8239390001498992e+06 2.9181007809566967e+06 3.0874339216572945e+06 3.3765096724668834e+06 4.1935517474918516e+05 +1.4493231077026415e+01 1.5880090519895926e+07 1.5878450538357556e+07 1.5875650831270922e+07 1.5871823219750134e+07 1.5867641437105805e+07 1.5864264922195306e+07 1.5862257696166376e+07 1.5860707286351485e+07 1.5858601625370959e+07 1.5855614686590198e+07 1.5851717465710483e+07 1.5846779895486750e+07 1.5840606470813531e+07 1.5832984279269461e+07 1.5823680534529824e+07 1.5812417640866091e+07 1.5798861993622307e+07 1.5782621797120603e+07 1.5763239172967717e+07 1.5740177921953708e+07 1.5712813475698465e+07 1.5680408672499638e+07 1.5641969501815597e+07 1.5595790163808443e+07 1.5539915084988141e+07 1.5473375111993890e+07 1.5395229752861347e+07 1.5303935498890856e+07 1.5197597665304769e+07 1.5074099183103669e+07 1.4931131072192932e+07 1.4766216628776552e+07 1.4576752339563351e+07 1.4360071943274718e+07 1.4113540296380665e+07 1.3834678925604198e+07 1.3521331094770817e+07 1.3171863533095788e+07 1.2785403305262977e+07 1.2362092915075641e+07 1.1867829911281919e+07 1.1336367098430105e+07 1.0773586423821162e+07 1.0187572593619494e+07 9.5883599610151704e+06 8.9873830683967192e+06 8.3966554390578177e+06 7.8277717637244221e+06 7.2908984179161023e+06 6.7938922717354400e+06 6.3417792677001031e+06 5.9367553471745262e+06 5.5785089261505641e+06 5.2644651268409938e+06 4.9907155427025398e+06 4.7528061560296528e+06 4.5461317641256768e+06 4.3664173006195696e+06 4.2098346971715437e+06 4.0732353777805967e+06 3.9538683548495839e+06 3.8496066870204615e+06 3.7585400970583293e+06 3.6792883906790949e+06 3.6105174655940714e+06 3.5511208213094161e+06 3.5002373017219435e+06 3.4569765244413982e+06 3.4204784701165501e+06 3.3901079284067308e+06 3.3650889223222332e+06 3.3448370887601953e+06 3.3286905025841421e+06 3.3160679275995949e+06 3.3061898128068717e+06 3.2983022233169298e+06 3.2918287919473164e+06 3.2862302227902813e+06 3.2809890308642103e+06 3.2772937553252699e+06 3.2735668989085872e+06 3.2697660634675850e+06 3.2657857579007884e+06 3.2616798673416064e+06 3.2573317866600486e+06 3.2528799761848799e+06 3.2479385890651126e+06 3.2426502036556047e+06 3.2369174965299843e+06 3.2306644697045670e+06 3.2237987734938823e+06 3.2162163736752048e+06 3.2077693699899074e+06 3.1984683190661413e+06 3.1879711432817206e+06 3.1762019083077353e+06 3.1629898374330066e+06 3.1481511488982351e+06 3.1314963164947554e+06 3.1128352391682202e+06 3.0919591857416001e+06 3.0688903247903208e+06 3.0432337022670833e+06 3.0150737701384514e+06 2.9844756766638029e+06 2.9516794271919443e+06 2.9170933722534361e+06 2.8814947588059078e+06 2.8460415670061419e+06 2.8126225018877592e+06 2.7836269681441360e+06 2.7627819139107722e+06 2.7552849177857018e+06 2.7686853528873320e+06 2.8139733339460669e+06 2.9078028179121856e+06 3.0765383847175934e+06 3.3645939823533958e+06 4.1770627462036506e+05 +1.4498199399800674e+01 1.5830558885004414e+07 1.5828923945270278e+07 1.5826132806921013e+07 1.5822316830934282e+07 1.5818147507466663e+07 1.5814780568901766e+07 1.5812778289491031e+07 1.5811231070194047e+07 1.5809129983910639e+07 1.5806149938947486e+07 1.5802261930180535e+07 1.5797336206482673e+07 1.5791177768626688e+07 1.5783574245805861e+07 1.5774293435383927e+07 1.5763058445231231e+07 1.5749536514464179e+07 1.5733336836586431e+07 1.5714002689706713e+07 1.5690999233845804e+07 1.5663703487751450e+07 1.5631380171175102e+07 1.5593037834345359e+07 1.5546975072670151e+07 1.5491241263415948e+07 1.5424869746719878e+07 1.5346922604250891e+07 1.5255860466917811e+07 1.5149793734452732e+07 1.5026611086603712e+07 1.4884009914544273e+07 1.4719520485986080e+07 1.4530546801043238e+07 1.4314430542007955e+07 1.4068544753256150e+07 1.3790419125551909e+07 1.3477904680701420e+07 1.3129374999715060e+07 1.2743962458940297e+07 1.2321812592100777e+07 1.1828922133334430e+07 1.1298956751461251e+07 1.0737786849089172e+07 1.0153478618127309e+07 9.5560409359344710e+06 8.9568768108467758e+06 8.3679640713035315e+06 7.8008603265924817e+06 7.2656967367146313e+06 6.7703001359615279e+06 6.3196741143690990e+06 5.9160008582205586e+06 5.5589634567941381e+06 5.2459900871624174e+06 4.9731810044301329e+06 4.7360938918573046e+06 4.5301368803746710e+06 4.3510480023202766e+06 4.1950114239932308e+06 4.0588888966128998e+06 3.9399386911352165e+06 3.8360411126298788e+06 3.7452924932552408e+06 3.6663174288119627e+06 3.5977864910056908e+06 3.5385970655095261e+06 3.4878910167492735e+06 3.4447811022087852e+06 3.4084103286247291e+06 3.3781457124757199e+06 3.3532140089289858e+06 3.3330328876613993e+06 3.3169427361912047e+06 3.3043643343615099e+06 3.2945208439131216e+06 3.2866609596385919e+06 3.2802103070247229e+06 3.2746314638529043e+06 3.2694087577453996e+06 3.2657265218506670e+06 3.2620128185005169e+06 3.2582253980745818e+06 3.2542591412738860e+06 3.2501677428355366e+06 3.2458350108634131e+06 3.2413989082335453e+06 3.2364749621417830e+06 3.2312052424854352e+06 3.2254927693370311e+06 3.2192618129472858e+06 3.2124203495798674e+06 3.2048647121983496e+06 3.1964475242917575e+06 3.1871792966239867e+06 3.1767191709620529e+06 3.1649914758351408e+06 3.1518260372893265e+06 3.1370397222234211e+06 3.1204436733675175e+06 3.1018484606308485e+06 3.0810460912324996e+06 3.0580586472278158e+06 3.0324925801414428e+06 3.0044320389077961e+06 2.9739419418499935e+06 2.9412614472201476e+06 2.9067974642779129e+06 2.8713244966880940e+06 2.8359964390367991e+06 2.8026953225554703e+06 2.7738021291388944e+06 2.7530306480543343e+06 2.7455601144816964e+06 2.7589132529896409e+06 2.8040413893062831e+06 2.8975397008504439e+06 3.0656797158077382e+06 3.3527186122633154e+06 4.1606371127487399e+05 +1.4503167722574933e+01 1.5781170742378434e+07 1.5779540869375873e+07 1.5776758292552995e+07 1.5772953919522826e+07 1.5768797019987533e+07 1.5765439633449839e+07 1.5763442290757842e+07 1.5761898258377539e+07 1.5759801740199210e+07 1.5756828577245397e+07 1.5752949763838708e+07 1.5748035864360105e+07 1.5741892384309079e+07 1.5734307493361322e+07 1.5725049571359670e+07 1.5713842428287836e+07 1.5700354145280859e+07 1.5684194902910236e+07 1.5664909133375406e+07 1.5641963353111273e+07 1.5614736164573736e+07 1.5582494164983600e+07 1.5544248459812056e+07 1.5498302030144768e+07 1.5442709193661101e+07 1.5376505778721625e+07 1.5298756434530066e+07 1.5207925922141042e+07 1.5102129714154441e+07 1.4979262225714702e+07 1.4837027204141427e+07 1.4672961871668046e+07 1.4484477723004119e+07 1.4268924363200042e+07 1.4023683002216509e+07 1.3746291471133996e+07 1.3434608525311168e+07 1.3087014573341731e+07 1.2702647280526878e+07 1.2281655191135434e+07 1.1790133969323808e+07 1.1261662333601203e+07 1.0702099150199225e+07 1.0119492123712188e+07 9.5238247040413283e+06 8.9264684358338136e+06 8.3393655426066406e+06 7.7740366560195414e+06 7.2405778295058571e+06 6.7467859649052965e+06 6.2976423874530839e+06 5.8953155943417801e+06 5.5394833892677762e+06 5.2275770170636009e+06 4.9557053860573741e+06 4.7194378580110157e+06 4.5141958653456578e+06 4.3357305040083202e+06 4.1802381397246271e+06 4.0445908199798851e+06 3.9260560453967070e+06 3.8225213444579863e+06 3.7320896372044906e+06 3.6533902938533220e+06 3.5850985446133413e+06 3.5261156483473717e+06 3.4755864799674656e+06 3.4326269262564462e+06 3.3963830099050938e+06 3.3662239667634340e+06 3.3413792749632988e+06 3.3212686302429633e+06 3.3052347250535008e+06 3.2927003486321322e+06 3.2828913664617212e+06 3.2750590942546795e+06 3.2686311436255141e+06 3.2630719598324792e+06 3.2578676770446603e+06 3.2541984366717869e+06 3.2504978418800542e+06 3.2467237910658359e+06 3.2427715354868453e+06 3.2386945801143167e+06 3.2343771449017995e+06 3.2299566969719264e+06 3.2250501328819734e+06 3.2197990158044687e+06 3.2141067081500287e+06 3.2078977474998762e+06 3.2010804349595672e+06 3.1935514694368895e+06 3.1851639963928778e+06 3.1759284809186845e+06 3.1655052799816495e+06 3.1538189841132201e+06 3.1407000200707470e+06 3.1259659012218690e+06 3.1094284369638320e+06 3.0908988659090307e+06 3.0701699311487423e+06 3.0472636285610036e+06 3.0217878104320341e+06 2.9938263237117771e+06 2.9634438575647161e+06 2.9308787260162137e+06 2.8965364019273217e+06 2.8611886549555780e+06 2.8259853079390433e+06 2.7928017409268431e+06 2.7640105414746609e+06 2.7433123845339017e+06 2.7358682239466282e+06 2.7491742259301650e+06 2.7941430584846488e+06 2.8873113184364010e+06 3.0548577971292501e+06 3.3408834333718852e+06 4.1442746105023928e+05 +1.4508136045349191e+01 1.5731925789298810e+07 1.5730300922843296e+07 1.5727526918650698e+07 1.5723734114287533e+07 1.5719589603648007e+07 1.5716241745173475e+07 1.5714249329210080e+07 1.5712708480172204e+07 1.5710616523516476e+07 1.5707650230752621e+07 1.5703780595980341e+07 1.5698878498428199e+07 1.5692749947188241e+07 1.5685183651302181e+07 1.5675948571878860e+07 1.5664769219538383e+07 1.5651314515618088e+07 1.5635195625749005e+07 1.5615958133780317e+07 1.5593069909656627e+07 1.5565911136267787e+07 1.5533750284251051e+07 1.5495601008786205e+07 1.5449770667119132e+07 1.5394318507022532e+07 1.5328282839757221e+07 1.5250730876002597e+07 1.5160131497519724e+07 1.5054605238136502e+07 1.4932052235066649e+07 1.4790182576700810e+07 1.4626540422861168e+07 1.4438544743954746e+07 1.4223553047192693e+07 1.3978954685739141e+07 1.3702295607329363e+07 1.3391442276521448e+07 1.3044781905358884e+07 1.2661457425458040e+07 1.2241620372330958e+07 1.1751465085317275e+07 1.1224483517794693e+07 1.0666523007961959e+07 1.0085612800126664e+07 9.4917109650764428e+06 8.8961576540145911e+06 8.3108595753468098e+06 7.7473004866948714e+06 7.2155414435865330e+06 6.7233495184402931e+06 6.2756838591123968e+06 5.8746993394119879e+06 5.5200685183710186e+06 5.2092257213823413e+06 4.9382885014956249e+06 4.7028378765083943e+06 4.4983085482456181e+06 4.3204646412413111e+06 4.1655146855057944e+06 4.0303409939359366e+06 3.9122202679970646e+06 3.8090472366310568e+06 3.7189313863133970e+06 3.6405068460906870e+06 3.5724534891807111e+06 3.5136764347371268e+06 3.4633235581239774e+06 3.4205138649029443e+06 3.3843963835929134e+06 3.3543425619998598e+06 3.3295845920657110e+06 3.3095441888755448e+06 3.2935663421352133e+06 3.2810758438400892e+06 3.2713012542422363e+06 3.2634965012555788e+06 3.2570911760819298e+06 3.2515515852773841e+06 3.2463656635038876e+06 3.2427093746760665e+06 3.2390218440744188e+06 3.2352611176167773e+06 3.2313228158614258e+06 3.2272602546669971e+06 3.2229580644194288e+06 3.2185532182212309e+06 3.2136639772917563e+06 3.2084313998196423e+06 3.2027591893980531e+06 3.1965721500276388e+06 3.1897789065617602e+06 3.1822765226127100e+06 3.1739186638335623e+06 3.1647157498394200e+06 3.1543293486365429e+06 3.1426843118851786e+06 3.1296116650285157e+06 3.1149295657063709e+06 3.0984504877347928e+06 3.0799863361543771e+06 3.0593305874504307e+06 3.0365051516320431e+06 3.0111192769633867e+06 2.9832565094497795e+06 2.9529813098767959e+06 2.9205311508970540e+06 2.8863100738405241e+06 2.8510871236030855e+06 2.8160080650637816e+06 2.7829416496264734e+06 2.7542520988815995e+06 2.7336270178785073e+06 2.7262091409915951e+06 2.7394681660107579e+06 2.7842782340565198e+06 2.8771175596579197e+06 3.0440725112342141e+06 3.3290883172328523e+06 4.1279750036909361e+05 +1.4513104368123450e+01 1.5682823682547403e+07 1.5681203793509012e+07 1.5678438313665418e+07 1.5674657044815682e+07 1.5670524888233684e+07 1.5667186534140401e+07 1.5665199034906749e+07 1.5663661365636207e+07 1.5661573963891380e+07 1.5658614529515598e+07 1.5654754056648966e+07 1.5649863738741335e+07 1.5643750087355286e+07 1.5636202349748749e+07 1.5626990067119725e+07 1.5615838449209709e+07 1.5602417255802497e+07 1.5586338635519605e+07 1.5567149321447063e+07 1.5544318534199474e+07 1.5517228033701405e+07 1.5485148160069467e+07 1.5447095112609614e+07 1.5401380615265071e+07 1.5346068835532248e+07 1.5280200562328994e+07 1.5202845561745439e+07 1.5112476826764287e+07 1.5007219940892700e+07 1.4884980750093360e+07 1.4743475668742707e+07 1.4580255777354242e+07 1.4392747503237408e+07 1.4178316235106239e+07 1.3934359447053315e+07 1.3658431179881874e+07 1.3348405583048694e+07 1.3002676647928551e+07 1.2620392549981141e+07 1.2201707796665009e+07 1.1712915148184953e+07 1.1187419977763696e+07 1.0631058103992200e+07 1.0051840337920761e+07 9.4596994195402376e+06 8.8659441768011320e+06 8.2824458926627245e+06 7.7206515540179284e+06 7.1905873269212805e+06 6.6999905571049349e+06 6.2537983021398466e+06 5.8541518779108487e+06 5.5007186395042529e+06 5.1909360055100387e+06 4.9209301651801430e+06 4.6862937698706686e+06 4.4824747587760603e+06 4.3052502500506826e+06 4.1508409029516289e+06 4.0161392649838747e+06 3.8984312097253771e+06 3.7956186436981293e+06 3.7058175984206283e+06 3.6276669462110084e+06 3.5598511878807759e+06 3.5012792899889019e+06 3.4511021183572379e+06 3.4084417868475611e+06 3.3724503196971975e+06 3.3425013692948078e+06 3.3178298322509630e+06 3.2978594363096463e+06 3.2819374607743570e+06 3.2694906937868353e+06 3.2597503814252778e+06 3.2519730551002338e+06 3.2455902791000907e+06 3.2400702151041646e+06 3.2349025922395284e+06 3.2312592111206916e+06 3.2275847004802264e+06 3.2238372532673930e+06 3.2199128580880794e+06 3.2158646423353618e+06 3.2115776454308699e+06 3.2071883481650455e+06 3.2023163717426914e+06 3.1971022711035348e+06 3.1914500898702093e+06 3.1852848975614533e+06 3.1785156416749423e+06 3.1710397493010694e+06 3.1627114045167724e+06 3.1535409816429387e+06 3.1431912555831159e+06 3.1315873382549090e+06 3.1185608517643693e+06 3.1039305958480518e+06 3.0875097064846368e+06 3.0691107528869421e+06 3.0485279424435864e+06 3.0257830996276583e+06 3.0004868638968463e+06 2.9727224813559740e+06 2.9425541851832010e+06 2.9102186095091831e+06 2.8761183689783714e+06 2.8410197929527503e+06 2.8060646020761360e+06 2.7731149415967353e+06 2.7445266954061999e+06 2.7239744429251337e+06 2.7165827607431440e+06 2.7297949678444089e+06 2.7744468089117641e+06 2.8669583138373233e+06 3.0333237410169533e+06 3.3173331357786455e+06 4.1117380573888600e+05 +1.4518072690897709e+01 1.5633863944392709e+07 1.5632249094452828e+07 1.5629492105237029e+07 1.5625722341504075e+07 1.5621602504404156e+07 1.5618273631214427e+07 1.5616291038646806e+07 1.5614756545569880e+07 1.5612673692128398e+07 1.5609721104348136e+07 1.5605869776661687e+07 1.5600991216144675e+07 1.5594892435681660e+07 1.5587363219623119e+07 1.5578173688037157e+07 1.5567049748323947e+07 1.5553661996944513e+07 1.5537623563433984e+07 1.5518482327697158e+07 1.5495708858202472e+07 1.5468686488545639e+07 1.5436687424301147e+07 1.5398730403435126e+07 1.5353131507028099e+07 1.5297959812043123e+07 1.5232258579742191e+07 1.5155100125576969e+07 1.5064961544383105e+07 1.4959973457713420e+07 1.4838047406988023e+07 1.4696906117559418e+07 1.4534107573723389e+07 1.4347085640941713e+07 1.4133213568841860e+07 1.3889896930205826e+07 1.3614697835345482e+07 1.3305498094381683e+07 1.2960698454023058e+07 1.2579452311092995e+07 1.2161917125857763e+07 1.1674483825577017e+07 1.1150471388023285e+07 1.0595704120666519e+07 1.0018174428389736e+07 9.4277897686850522e+06 8.8358277163580470e+06 8.2541242183773369e+06 7.6940895940931235e+06 7.1657152281694207e+06 6.6767088420911012e+06 6.2319854899582053e+06 5.8336729949234165e+06 5.4814335486276587e+06 5.1727076753953444e+06 4.9036301920800330e+06 4.6698053611410148e+06 4.4666943271285715e+06 4.2900871669485793e+06 4.1362166341258618e+06 4.0019854800672717e+06 3.8846887218124573e+06 3.7822354206289859e+06 3.6927481317709023e+06 3.6148704553105501e+06 3.5472915042788074e+06 3.4889240798072144e+06 3.4389220282024541e+06 3.3964105611721138e+06 3.3605446886192309e+06 3.3307002601422169e+06 3.3061148679098082e+06 3.2862142456715163e+06 3.2703479546842757e+06 3.2579447726421589e+06 3.2482386225400358e+06 3.2404886306188200e+06 3.2341283277473515e+06 3.2286277245901451e+06 3.2234783387274602e+06 3.2198478216201887e+06 3.2161862868578983e+06 3.2124520739224046e+06 3.2085415382280541e+06 3.2045076193360272e+06 3.2002357643150925e+06 3.1958619633477698e+06 3.1910071929680291e+06 3.1858115065929699e+06 3.1801792867193641e+06 3.1740358674868909e+06 3.1672905179529851e+06 3.1598410274421135e+06 3.1515420966968816e+06 3.1424040549432086e+06 3.1320908798267520e+06 3.1205279426796511e+06 3.1075474602401177e+06 3.0929688721681493e+06 3.0766059743655445e+06 3.0582719979705745e+06 3.0377618787823231e+06 3.0150973560756808e+06 2.9898904557335530e+06 2.9622241250019050e+06 2.9321623702187855e+06 2.8999409898320287e+06 2.8659611766330004e+06 2.8309865536449770e+06 2.7961548109660693e+06 2.7633215100888661e+06 2.7348342254022439e+06 2.7143545548208370e+06 2.7069889786317088e+06 2.7201545263546612e+06 2.7646486762546264e+06 2.8568334706151551e+06 3.0226113697176636e+06 3.3056177613116503e+06 4.0955635375159170e+05 +1.4523041013671968e+01 1.5585046352435941e+07 1.5583436462663626e+07 1.5580687924032377e+07 1.5576929635513119e+07 1.5572822083673732e+07 1.5569502668038625e+07 1.5567524972014211e+07 1.5565993651565446e+07 1.5563915339811983e+07 1.5560969586821208e+07 1.5557127387608465e+07 1.5552260562252216e+07 1.5546176623792598e+07 1.5538665892585324e+07 1.5529499066352153e+07 1.5518402748676544e+07 1.5505048370914666e+07 1.5489050041469036e+07 1.5469956784638789e+07 1.5447240513902282e+07 1.5420286133205662e+07 1.5388367709580921e+07 1.5350506514123578e+07 1.5305022975619696e+07 1.5249991070147110e+07 1.5184456526050923e+07 1.5107494202152060e+07 1.5017585285660205e+07 1.4912865424644226e+07 1.4791251842740918e+07 1.4650473561220180e+07 1.4488095451323545e+07 1.4301558797966527e+07 1.4088244691107346e+07 1.3845566780020442e+07 1.3571095221040353e+07 1.3262719460787380e+07 1.2918846977381945e+07 1.2538636366602754e+07 1.2122248022445405e+07 1.1636170785920223e+07 1.1113637423850296e+07 1.0560460741145590e+07 9.9846147636064254e+06 9.3959817145365402e+06 8.8058079855705891e+06 8.2258942770813890e+06 7.6676143437270969e+06 7.1409248966650469e+06 6.6535041352482662e+06 6.2102451966333520e+06 5.8132624761457015e+06 5.4622130422960715e+06 5.1545405375460871e+06 4.8863883977052392e+06 4.6533724738661684e+06 4.4509670839948338e+06 4.2749752289173044e+06 4.1216417215544339e+06 3.9878794865811164e+06 3.8709926559122582e+06 3.7688974228224950e+06 3.6797228450267608e+06 3.6021172348913997e+06 3.5347743023426961e+06 3.4766106702839397e+06 3.4267831555797383e+06 3.3844200573468236e+06 3.3486793611339913e+06 3.3189391064046021e+06 3.2944395718113272e+06 3.2746084904538025e+06 3.2587976979437163e+06 3.2464379549510437e+06 3.2367658524950976e+06 3.2290431030035289e+06 3.2227051974595841e+06 3.2172239893883350e+06 3.2120927788183866e+06 3.2084750821656133e+06 3.2048264793353477e+06 3.2011054558529332e+06 3.1972087326999912e+06 3.1931890622447068e+06 3.1889322978101131e+06 3.1845739406780754e+06 3.1797363180635930e+06 3.1745589835826480e+06 3.1689466574603245e+06 3.1628249375610296e+06 3.1561034134023786e+06 3.1486802353339945e+06 3.1404106189925047e+06 3.1313048487056396e+06 3.1210281007344266e+06 3.1095060049675871e+06 3.0965713707656334e+06 3.0820442755392068e+06 3.0657391728787306e+06 3.0474699536108961e+06 3.0270322794694658e+06 3.0044478048481783e+06 2.9793299373195427e+06 2.9517613262942717e+06 2.9218057520475369e+06 2.8896981801713682e+06 2.8558383864162411e+06 2.8209872966414248e+06 2.7862785840398907e+06 2.7535612486764197e+06 2.7251745835356531e+06 2.7047672490190254e+06 2.6974276903945478e+06 2.7105467367727477e+06 2.7548837296029343e+06 2.8467429199608513e+06 3.0119352809171323e+06 3.2939420665162406e+06 4.0794512108342117e+05 +1.4528009336446226e+01 1.5536370445708435e+07 1.5534765508061765e+07 1.5532025402903918e+07 1.5528278559041545e+07 1.5524183258470338e+07 1.5520873277012095e+07 1.5518900467386128e+07 1.5517372315968461e+07 1.5515298539292548e+07 1.5512359609301561e+07 1.5508526521867745e+07 1.5503671409439374e+07 1.5497602284105640e+07 1.5490110001082029e+07 1.5480965834573487e+07 1.5469897082818137e+07 1.5456576010350682e+07 1.5440617702353787e+07 1.5421572325130122e+07 1.5398913134317843e+07 1.5372026600884611e+07 1.5340188649317024e+07 1.5302423078380335e+07 1.5257054655023322e+07 1.5202162244222442e+07 1.5136794036110187e+07 1.5060027426850969e+07 1.4970347686631165e+07 1.4865895478515061e+07 1.4744593695082990e+07 1.4604177638551563e+07 1.4442219050295623e+07 1.4256166615959225e+07 1.4043409245351072e+07 1.3801368642085215e+07 1.3527622985078271e+07 1.3220069333355527e+07 1.2877121872539509e+07 1.2497944375094369e+07 1.2082700149722138e+07 1.1597975698424872e+07 1.1076917761319835e+07 1.0525327649360236e+07 9.9511610364218894e+06 9.3642749598583840e+06 8.7758846980902422e+06 8.1977557940604864e+06 7.6412255404357892e+06 7.1162160824295627e+06 6.6303761990957540e+06 6.1885771968493350e+06 5.7929201078749858e+06 5.4430569176343195e+06 5.1364343990190737e+06 4.8692045980903609e+06 4.6369949321067268e+06 4.4352928605483640e+06 4.2599142734145988e+06 4.1071160082294615e+06 3.9738211323651941e+06 3.8573428641299172e+06 3.7556045060954988e+06 3.6667415972588719e+06 3.5894071468602130e+06 3.5222994464434236e+06 3.4643389279135088e+06 3.4146853687929171e+06 3.3724701452215835e+06 3.3368542083973326e+06 3.3072177803203287e+06 3.2828038170886533e+06 3.2630420445268825e+06 3.2472865650037327e+06 3.2349701156210317e+06 3.2253319465638334e+06 3.2176363478226918e+06 3.2113207640465191e+06 3.2058588855106570e+06 3.2007457887183893e+06 3.1971408691053693e+06 3.1935051544008940e+06 3.1897972756904885e+06 3.1859143182891342e+06 3.1819088480006820e+06 3.1776671230249573e+06 3.1733241574306474e+06 3.1685036244896334e+06 3.1633445797301242e+06 3.1577520799635584e+06 3.1516519858836387e+06 3.1449542063931897e+06 3.1375572516282354e+06 3.1293168503774833e+06 3.1202432422534935e+06 3.1100027980271773e+06 3.0985214052858981e+06 3.0856324640017124e+06 3.0711566871834416e+06 3.0549091838775072e+06 3.0367045023599495e+06 3.0163390278440393e+06 2.9938343301579235e+06 2.9688051938323239e+06 2.9413339714773344e+06 2.9114842180671715e+06 2.8794900691622179e+06 2.8457498882731735e+06 2.8110219132269616e+06 2.7764358139125886e+06 2.7438340512377247e+06 2.7155476647831388e+06 2.6952124212836442e+06 2.6878987920761663e+06 2.7009714946368504e+06 2.7451518627856188e+06 2.8366865521616358e+06 3.0012953585399361e+06 3.2823059244506792e+06 4.0634008449453569e+05 +1.4532977659220485e+01 1.5487835845684577e+07 1.5486235857632754e+07 1.5483504175977848e+07 1.5479768745380390e+07 1.5475685662055956e+07 1.5472385091306418e+07 1.5470417157863390e+07 1.5468892171875926e+07 1.5466822923695471e+07 1.5463890804905687e+07 1.5460066812553529e+07 1.5455223390855229e+07 1.5449169049800854e+07 1.5441695178339653e+07 1.5432573625952655e+07 1.5421532384084348e+07 1.5408244548654294e+07 1.5392326179600134e+07 1.5373328582810573e+07 1.5350726353232194e+07 1.5323907525539724e+07 1.5292149877706695e+07 1.5254479730613876e+07 1.5209226179998724e+07 1.5154472969410539e+07 1.5089270745516013e+07 1.5012699435839484e+07 1.4923248384131925e+07 1.4819063256931834e+07 1.4698072602558887e+07 1.4558017989193017e+07 1.4396478011549382e+07 1.4210908737371413e+07 1.3998706875836089e+07 1.3757302162779704e+07 1.3484280776352201e+07 1.3177547363910986e+07 1.2835522794809131e+07 1.2457375995948285e+07 1.2043273171793584e+07 1.1559898233095450e+07 1.1040312077277148e+07 1.0490304530019203e+07 9.9178129404296316e+06 9.3326692081727330e+06 8.7460575683024582e+06 8.1697084953499446e+06 7.6149229224553518e+06 7.0915885361712482e+06 6.6073247967984853e+06 6.1669812659264719e+06 5.7726456770137483e+06 5.4239649723511757e+06 5.1183890674291756e+06 4.8520786097968863e+06 4.6206725604266087e+06 4.4196714884546464e+06 4.2449041383740157e+06 4.0926393375877528e+06 3.9598102656993102e+06 3.8437391989832246e+06 3.7423565266888854e+06 3.6538042479602201e+06 3.5767400535365497e+06 3.5098668013408519e+06 3.4521087195731197e+06 3.4026285365326591e+06 3.3605606950307158e+06 3.3250691019448219e+06 3.2955361545134517e+06 3.2712074772581845e+06 3.2515147821265813e+06 3.2358144306860184e+06 3.2235411299317777e+06 3.2139367803800171e+06 3.2062682410017946e+06 3.1999749036757294e+06 3.1945322893318636e+06 3.1894372450055657e+06 3.1858450591515801e+06 3.1822221889100913e+06 3.1785274104348347e+06 3.1746581721409732e+06 3.1706668539030408e+06 3.1664401174187735e+06 3.1621124912341908e+06 3.1573089900592822e+06 3.1521681730517829e+06 3.1465954324647840e+06 3.1405168909289585e+06 3.1338427756523769e+06 3.1264719553349963e+06 3.1182606701801405e+06 3.1092191152675906e+06 3.0990148517781463e+06 3.0875740241477014e+06 3.0747306209631935e+06 3.0603059886712534e+06 3.0441158895597169e+06 3.0259755271238796e+06 3.0056820075916913e+06 2.9832568165587834e+06 2.9583161107907039e+06 2.9309419471310852e+06 2.9011976560073551e+06 2.8693165457660393e+06 2.8356955724655581e+06 2.8010902950024046e+06 2.7666263935256307e+06 2.7341398119670320e+06 2.7059533644281197e+06 2.6856899676813208e+06 2.6784021800303408e+06 2.6914286957934392e+06 2.7354529699474559e+06 2.8266642578336587e+06 2.9906914868532536e+06 3.2707092085383572e+06 4.0474122082875762e+05 +1.4537945981994744e+01 1.5439442204713665e+07 1.5437847137926798e+07 1.5435123878609840e+07 1.5431399828801276e+07 1.5427328928556278e+07 1.5424037744842535e+07 1.5422074677368470e+07 1.5420552853210025e+07 1.5418488126884643e+07 1.5415562807518685e+07 1.5411747893573171e+07 1.5406916140412528e+07 1.5400876554805314e+07 1.5393421058326354e+07 1.5384322074522516e+07 1.5373308286572918e+07 1.5360053620003661e+07 1.5344175107500304e+07 1.5325225192074655e+07 1.5302679805192813e+07 1.5275928541906845e+07 1.5244251029676754e+07 1.5206676106052179e+07 1.5161537186074343e+07 1.5106922881629486e+07 1.5041886290676013e+07 1.4965509866051298e+07 1.4876287015749579e+07 1.4772368398276877e+07 1.4651688204463908e+07 1.4511994253538143e+07 1.4350871976785064e+07 1.4165784805430453e+07 1.3954137227582043e+07 1.3713366989263145e+07 1.3441068244540792e+07 1.3135153205098305e+07 1.2794049400303403e+07 1.2416930889313687e+07 1.2003966753524823e+07 1.1521938060719384e+07 1.1003820049337965e+07 1.0455391068592951e+07 9.8845701700072400e+06 9.3011641637688950e+06 8.7163263113195375e+06 8.1417521076802807e+06 7.5887062286843238e+06 7.0670420092630936e+06 6.5843496921723289e+06 6.1454571798124276e+06 5.7524389710622001e+06 5.4049370047306949e+06 5.1004043509383425e+06 4.8350102499257131e+06 4.6044051839094814e+06 4.4041027998716030e+06 4.2299446621980136e+06 4.0782115535327382e+06 3.9458467353097531e+06 3.8301815134343258e+06 3.7291533412654218e+06 3.6409106570242057e+06 3.5641158176316875e+06 3.4974762321966994e+06 3.4399199125353992e+06 3.3906125278811730e+06 3.3486915773929781e+06 3.3133239136829353e+06 3.2838941019725832e+06 3.2596504262042954e+06 3.2400265778653645e+06 3.2243811701785387e+06 3.2121508735249853e+06 3.2025802299485048e+06 3.1949386588358078e+06 3.1886674928780636e+06 3.1832440775963864e+06 3.1781670246142149e+06 3.1745875293806242e+06 3.1709774600800956e+06 3.1672957374424017e+06 3.1634401717616622e+06 3.1594629576145099e+06 3.1552511588193192e+06 3.1509388200803003e+06 3.1461522929511615e+06 3.1410296419242979e+06 3.1354765935527510e+06 3.1294195315228342e+06 3.1227690002576094e+06 3.1154242258245498e+06 3.1072419580826950e+06 3.0982323477801196e+06 3.0880641424156721e+06 3.0766637424234310e+06 3.0638657230138052e+06 3.0494920619247826e+06 3.0333591724680355e+06 3.0152829111431008e+06 2.9950611027401499e+06 2.9727151489426107e+06 2.9478625740506933e+06 2.9205851401613923e+06 2.8909459539276371e+06 2.8591774992737570e+06 2.8256753295791545e+06 2.7911923338895738e+06 2.7568502161270618e+06 2.7244784253713540e+06 2.6963915780631765e+06 2.6761997845871584e+06 2.6689377509098342e+06 2.6819182363979425e+06 2.7257869455412342e+06 2.8166759279100695e+06 2.9801235504610329e+06 3.2591517925855676e+06 4.0314850701328478e+05 +1.4542914304769003e+01 1.5391189214457501e+07 1.5389599040108539e+07 1.5386884144547714e+07 1.5383171444126341e+07 1.5379112692888221e+07 1.5375830872305093e+07 1.5373872660567818e+07 1.5372353994590467e+07 1.5370293783527154e+07 1.5367375251789358e+07 1.5363569399584988e+07 1.5358749292790597e+07 1.5352724433836648e+07 1.5345287275800847e+07 1.5336210815088138e+07 1.5325224425148237e+07 1.5312002859371625e+07 1.5296164121076286e+07 1.5277261788095461e+07 1.5254773125536645e+07 1.5228089285482189e+07 1.5196491740959521e+07 1.5159011840666585e+07 1.5113987309537468e+07 1.5059511617566783e+07 1.4994640308726722e+07 1.4918458355217356e+07 1.4829463219865840e+07 1.4725810541705430e+07 1.4605440140876681e+07 1.4466106072756471e+07 1.4305400588473791e+07 1.4120794464123109e+07 1.3909699946376299e+07 1.3669562769483153e+07 1.3397985040086040e+07 1.3092886510329030e+07 1.2752701345894517e+07 1.2376608716128008e+07 1.1964780560589874e+07 1.1484094852840368e+07 1.0967441355912158e+07 1.0420586951337386e+07 9.8514324202846102e+06 9.2697595316707976e+06 8.6866906430126224e+06 8.1138863585250089e+06 7.5625751987634432e+06 7.0425762537675565e+06 6.5614506496955426e+06 6.1240047150832294e+06 5.7322997781244870e+06 5.3859728136328617e+06 5.0824800582644567e+06 4.8179993360904548e+06 4.5881926281305226e+06 4.3885866274363603e+06 4.2150356837565750e+06 4.0638325004146891e+06 3.9319303903624411e+06 3.8166696608657031e+06 3.7159948069037115e+06 3.6280606847647023e+06 3.5515343022639118e+06 3.4851276045667063e+06 3.4277723744588601e+06 3.3786372122995984e+06 3.3368626632974264e+06 3.3016185159044536e+06 3.2722914960636301e+06 3.2481325381793426e+06 3.2285773067162978e+06 3.2129866590343667e+06 3.2007992224123031e+06 3.1912621716383290e+06 3.1836474779788456e+06 3.1773984085502555e+06 3.1719941274097273e+06 3.1669350048502358e+06 3.1633681572305132e+06 3.1597708454845208e+06 3.1561021344353519e+06 3.1522601950224023e+06 3.1482970371588725e+06 3.1441001254095910e+06 3.1398030223229174e+06 3.1350334117039591e+06 3.1299288650779529e+06 3.1243954421741627e+06 3.1183597868415792e+06 3.1117327596528963e+06 3.1044139428168861e+06 3.0962605941253998e+06 3.0872828201758605e+06 3.0771505507135163e+06 3.0657904413292999e+06 3.0530376518642236e+06 3.0387147892105500e+06 3.0226389154957072e+06 3.0046265380073967e+06 2.9844761976594920e+06 2.9622092125404240e+06 2.9374444698047210e+06 2.9102634378186646e+06 2.8807290002153530e+06 2.8490728193006637e+06 2.8156890505203144e+06 2.7813279221284245e+06 2.7471071752858534e+06 2.7148497862608247e+06 2.6868622015872900e+06 2.6667417686804477e+06 2.6595054016748467e+06 2.6724400129047399e+06 2.7161536843329342e+06 2.8067214536460680e+06 2.9695914343083631e+06 3.2476335507616960e+06 4.0156192005840660e+05 +1.4547882627543261e+01 1.5343076426211609e+07 1.5341491164098114e+07 1.5338784607597150e+07 1.5335083226491826e+07 1.5331036590711566e+07 1.5327764109141789e+07 1.5325810742898647e+07 1.5324295231456947e+07 1.5322239529043455e+07 1.5319327773156079e+07 1.5315530966027277e+07 1.5310722483458614e+07 1.5304712322391618e+07 1.5297293466263562e+07 1.5288239483216733e+07 1.5277280435440000e+07 1.5264091902438527e+07 1.5248292856161872e+07 1.5229438006815869e+07 1.5207005950332876e+07 1.5180389392539639e+07 1.5148871648031121e+07 1.5111486571205264e+07 1.5066576187475925e+07 1.5012238814673755e+07 1.4947532437602958e+07 1.4871544541793646e+07 1.4782776635627382e+07 1.4679389327130266e+07 1.4559328052648691e+07 1.4420353088793194e+07 1.4260063489839016e+07 1.4075937358231278e+07 1.3865394678848803e+07 1.3625889152162232e+07 1.3355030814237544e+07 1.3050746933790335e+07 1.2711478289231017e+07 1.2336409138108473e+07 1.1925714259423802e+07 1.1446368281804807e+07 1.0931175676172687e+07 1.0385891865271246e+07 9.8183993871511649e+06 9.2384550176614653e+06 8.6571502799731586e+06 8.0861109760606680e+06 7.5365295730037075e+06 7.0181910224231444e+06 6.5386274344854979e+06 6.1026236489444468e+06 5.7122278869079482e+06 5.3670721984831188e+06 5.0646159986626096e+06 4.8010456864444269e+06 4.5720347191779418e+06 4.3731228042820813e+06 4.2001770423881542e+06 4.0495020230441489e+06 3.9180610804598993e+06 3.8032034950943678e+06 3.7028807811009996e+06 3.6152541918956656e+06 3.5389953709551245e+06 3.4728207844031285e+06 3.4156659733957271e+06 3.3667024596364298e+06 3.3250738241215600e+06 3.2899527812742861e+06 3.2607282105226782e+06 3.2366536878095502e+06 3.2171668440261693e+06 3.2016307731810021e+06 3.1894860529705924e+06 3.1799824821831179e+06 3.1723945754555138e+06 3.1661675279528089e+06 3.1607823162378469e+06 3.1557410633680015e+06 3.1521868205013881e+06 3.1486022230610778e+06 3.1449464794897567e+06 3.1411181201491579e+06 3.1371689709144151e+06 3.1329868957338259e+06 3.1287049766667034e+06 3.1239522252087337e+06 3.1188657216075063e+06 3.1133518576336200e+06 3.1073375364272390e+06 3.1007339336294429e+06 3.0934409863902489e+06 3.0853164587005917e+06 3.0763704131931644e+06 3.0662739578026906e+06 3.0549540024346523e+06 3.0422462895775712e+06 3.0279740531409942e+06 3.0119550018763724e+06 2.9940062916464694e+06 2.9739271770580360e+06 2.9517388929231088e+06 2.9270616845742431e+06 2.8999767276722384e+06 2.8705466835859986e+06 2.8390023957840423e+06 2.8057366265232624e+06 2.7714969522774732e+06 2.7373971648789565e+06 2.7052537897659484e+06 2.6773651312074149e+06 2.6573158169435025e+06 2.6501050295867915e+06 2.6629939220818933e+06 2.7065530813939376e+06 2.7968007266191388e+06 2.9590950236831242e+06 3.2361543576108655e+06 3.9998143705721805e+05 +1.4552850950317520e+01 1.5295103595540402e+07 1.5293523138974238e+07 1.5290824905406730e+07 1.5287134811273893e+07 1.5283100258392667e+07 1.5279837091513058e+07 1.5277888560562579e+07 1.5276376199968927e+07 1.5274324999594679e+07 1.5271420007789144e+07 1.5267632229087887e+07 1.5262835348607501e+07 1.5256839856687417e+07 1.5249439266009299e+07 1.5240407715237228e+07 1.5229475953827918e+07 1.5216320385707125e+07 1.5200560949328406e+07 1.5181753484928371e+07 1.5159377916450772e+07 1.5132828500106622e+07 1.5101390388154959e+07 1.5064099935185203e+07 1.5019303457711037e+07 1.4965104111193068e+07 1.4900562315992977e+07 1.4824768065050272e+07 1.4736226902938208e+07 1.4633104395244567e+07 1.4513351581396095e+07 1.4374734944374070e+07 1.4214860324921753e+07 1.4031213133306917e+07 1.3821221072334236e+07 1.3582345786796032e+07 1.3312205219007390e+07 1.3008734130455984e+07 1.2670379888783516e+07 1.2296331817760283e+07 1.1886767517238177e+07 1.1408758020722931e+07 1.0895022690064751e+07 1.0351305498171663e+07 9.7854707672691476e+06 9.2072503282708097e+06 8.6277049395316094e+06 8.0584256891940683e+06 7.5105690924216006e+06 6.9938860686324164e+06 6.5158798123264480e+06 6.0813137592149768e+06 5.6922230867057750e+06 5.3482349592843736e+06 5.0468119819485359e+06 4.7841491196568431e+06 4.5559312836433770e+06 4.3577111640198212e+06 4.1853685779061420e+06 4.0352199666798282e+06 3.9042386556551005e+06 3.7897828703652555e+06 3.6898111217744332e+06 3.6024910395443426e+06 3.5264988876224165e+06 3.4605556380464174e+06 3.4036005777803343e+06 3.3548081401166194e+06 3.3133249316168991e+06 3.2783265828264491e+06 3.2492041194615806e+06 3.2252137500879974e+06 3.2057950655062576e+06 3.1903133888985477e+06 3.1782112419376927e+06 3.1687410386797739e+06 3.1611798286481276e+06 3.1549747287057275e+06 3.1496085219038757e+06 3.1445850781937661e+06 3.1410433973498237e+06 3.1374714711114084e+06 3.1338286510474468e+06 3.1300138257309543e+06 3.1260786376209888e+06 3.1219113486916744e+06 3.1176445621800437e+06 3.1129086127137858e+06 3.1078400909560355e+06 3.1023457195919426e+06 3.0963526601683851e+06 3.0897724023348107e+06 3.0825052369720694e+06 3.0744094325484145e+06 3.0654950079206224e+06 3.0554342451642063e+06 3.0441543076562514e+06 3.0314915185597357e+06 3.0172697366778571e+06 3.0013073151853434e+06 2.9834220563361864e+06 2.9634139259854527e+06 2.9413040759970513e+06 2.9167141052230196e+06 2.8897248976343465e+06 2.8603988930871384e+06 2.8289661189903258e+06 2.7958179491321775e+06 2.7616993172073560e+06 2.7277200790960621e+06 2.6956903313148627e+06 2.6679002634331421e+06 2.6479218266647444e+06 2.6407365322138234e+06 2.6535798609913741e+06 2.6969850321121421e+06 2.7869136387224402e+06 2.9486342042037011e+06 3.2247140880475673e+06 3.9840703518533742e+05 +1.4557819273091779e+01 1.5247270211974390e+07 1.5245694602369899e+07 1.5243004677123535e+07 1.5239325834370615e+07 1.5235303332990261e+07 1.5232049456353052e+07 1.5230105750543434e+07 1.5228596537071021e+07 1.5226549832144462e+07 1.5223651592640337e+07 1.5219872825736530e+07 1.5215087525222385e+07 1.5209106673726320e+07 1.5201724312078880e+07 1.5192715148231221e+07 1.5181810617498232e+07 1.5168687946397826e+07 1.5152968037932700e+07 1.5134207859919798e+07 1.5111888661493406e+07 1.5085406245995147e+07 1.5054047599333547e+07 1.5016851570891595e+07 1.4972168758837024e+07 1.4918107146105038e+07 1.4853729583359327e+07 1.4778128564996906e+07 1.4689813662470881e+07 1.4586955387534136e+07 1.4467510369525306e+07 1.4329251282983195e+07 1.4169790738493303e+07 1.3986621435665505e+07 1.3777178774962878e+07 1.3538932323650347e+07 1.3269507907190060e+07 1.2966847756086739e+07 1.2629405803753965e+07 1.2256376418367563e+07 1.1847940002032625e+07 1.1371263743489403e+07 1.0858982078319687e+07 1.0316827538599705e+07 9.7526462580514681e+06 9.1761451707849149e+06 8.5983543397540543e+06 8.0308302275431287e+06 7.4846934987415764e+06 6.9696611464773770e+06 6.4932075496364897e+06 6.0600748243443472e+06 5.6722851674187034e+06 5.3294608966134172e+06 5.0290678184758369e+06 4.7673094549187375e+06 4.5398821486171214e+06 4.3423515407426590e+06 4.1706101305808155e+06 4.0209861770353136e+06 3.8904629664262729e+06 3.7764076413460593e+06 3.6767856872547166e+06 3.5897710892436020e+06 3.5140447165902401e+06 3.4483320322387628e+06 3.3915760564400195e+06 3.3429541243531154e+06 3.3016158579097125e+06 3.2667397939755707e+06 3.2377190973602599e+06 3.2138126003800174e+06 3.1944618472352326e+06 3.1790343828441561e+06 3.1669746664127558e+06 3.1575377185815158e+06 3.1500031152987164e+06 3.1438198887900142e+06 3.1384726226005307e+06 3.1334669277049876e+06 3.1299377662954391e+06 3.1263784682872035e+06 3.1227485278997016e+06 3.1189471907075858e+06 3.1150259163756631e+06 3.1108733635414429e+06 3.1066216582850032e+06 3.1019024538268042e+06 3.0968518529251600e+06 3.0913769080632874e+06 3.0854050383149022e+06 3.0788480462671164e+06 3.0716065753427935e+06 3.0635393967651995e+06 3.0546564857971151e+06 3.0446312946244720e+06 3.0333912392583732e+06 3.0207732215647618e+06 3.0066017231230000e+06 2.9906957393508893e+06 2.9728737166857650e+06 2.9529363298290283e+06 2.9309046480000406e+06 2.9064016189439348e+06 2.8795078359400108e+06 2.8502855180886439e+06 2.8189638795044324e+06 2.7859329102213336e+06 2.7519349101080229e+06 2.7180758124447134e+06 2.6861593066516458e+06 2.6584674950827863e+06 2.6385596954294518e+06 2.6313998074212717e+06 2.6441977270070408e+06 2.6874494321756526e+06 2.7770600821709009e+06 2.9382088618307761e+06 3.2133126173514975e+06 3.9683869170062320e+05 +1.4562787595866038e+01 1.5199575896193141e+07 1.5198005217805674e+07 1.5195323560815535e+07 1.5191655932711788e+07 1.5187645452196980e+07 1.5184400841321932e+07 1.5182461950566940e+07 1.5180955880482081e+07 1.5178913664397726e+07 1.5176022165439555e+07 1.5172252393692765e+07 1.5167478651046954e+07 1.5161512411302913e+07 1.5154148242280539e+07 1.5145161420079285e+07 1.5134284064376798e+07 1.5121194222535871e+07 1.5105513760068534e+07 1.5086800769993180e+07 1.5064537823857121e+07 1.5038122268770030e+07 1.5006842920368740e+07 1.4969741117362769e+07 1.4925171730233205e+07 1.4871247559163725e+07 1.4807033879933685e+07 1.4731625682422118e+07 1.4643536555690618e+07 1.4540941946204511e+07 1.4421804060180902e+07 1.4283901748879064e+07 1.4124854376111414e+07 1.3942161912408885e+07 1.3733267435655810e+07 1.3495648413783332e+07 1.3226938532334924e+07 1.2925087467205953e+07 1.2588555694162985e+07 1.2216542603969175e+07 1.1809231382584838e+07 1.1333885124758676e+07 1.0823053522421969e+07 1.0282457675867323e+07 9.7199255576523487e+06 9.1451392532123756e+06 8.5690981994378772e+06 8.0033243214338552e+06 7.4589025343629001e+06 6.9455160107140532e+06 6.4706104134876011e+06 6.0389066233933801e+06 5.6524139195373217e+06 5.3107498116091760e+06 5.0113833191496991e+06 4.7505265119522708e+06 4.5238871416916465e+06 4.3270437690294916e+06 4.1559015411552847e+06 4.0068005002699555e+06 3.8767338636960248e+06 3.7630776631297483e+06 3.6638043362883357e+06 3.5770942029352393e+06 3.5016327225705651e+06 3.4361498341028653e+06 3.3795922785776840e+06 3.3311402833357900e+06 3.2899464755095528e+06 3.2551922885039193e+06 3.2262730190636436e+06 3.2024501144081079e+06 3.1831670656551681e+06 3.1677936320294407e+06 3.1557762038663169e+06 3.1463723997121011e+06 3.1388643135137181e+06 3.1327028865446849e+06 3.1273744968707012e+06 3.1223864906417998e+06 3.1188698062126590e+06 3.1153230936023737e+06 3.1117059892049883e+06 3.1079180943813454e+06 3.1040106866303822e+06 3.0998728198982682e+06 3.0956361447595041e+06 3.0909336285067322e+06 3.0859008876733514e+06 3.0804453034153613e+06 3.0744945514606582e+06 3.0679607462832280e+06 3.0607448826370197e+06 3.0527062327948725e+06 3.0438547286122516e+06 3.0338649883604585e+06 3.0226646798526854e+06 3.0100912816946814e+06 2.9959698961263313e+06 2.9801201586305765e+06 2.9623611576503548e+06 2.9424942743121930e+06 2.9205404955139440e+06 2.8961241132609006e+06 2.8693254311567880e+06 2.8402064482875597e+06 2.8089955682375836e+06 2.7760814019779819e+06 2.7422036244823341e+06 2.7084642597334702e+06 2.6766606118261921e+06 2.6490667232763106e+06 2.6292293211337705e+06 2.6220947533776928e+06 2.6348474178012027e+06 2.6779461775881466e+06 2.7672399494952206e+06 2.9278188828582563e+06 3.2019498211708232e+06 3.9527638394289289e+05 +1.4567755918640296e+01 1.5152020505564921e+07 1.5150454615234766e+07 1.5147781196337394e+07 1.5144124744429553e+07 1.5140126254351439e+07 1.5136890884846417e+07 1.5134956799149120e+07 1.5133453868658647e+07 1.5131416134818314e+07 1.5128531364635758e+07 1.5124770571433468e+07 1.5120008364582630e+07 1.5114056707925865e+07 1.5106710695186611e+07 1.5097746169410985e+07 1.5086895933134368e+07 1.5073838852886613e+07 1.5058197754623527e+07 1.5039531854190327e+07 1.5017325042701028e+07 1.4990976207752975e+07 1.4959775990808584e+07 1.4922768214414984e+07 1.4878312012026625e+07 1.4824524990900494e+07 1.4760474846696660e+07 1.4685259058891438e+07 1.4597395224808330e+07 1.4495063714281432e+07 1.4376232297314752e+07 1.4238685987103404e+07 1.4080050884127164e+07 1.3897834211415524e+07 1.3689486704098560e+07 1.3452493709014570e+07 1.3184496748807244e+07 1.2883452921116883e+07 1.2547829220763620e+07 1.2176830039406206e+07 1.1770641328434119e+07 1.1296621839974789e+07 1.0787236704629423e+07 1.0248195600056563e+07 9.6873083650172334e+06 9.1142322843374833e+06 8.5399362381125484e+06 7.9759077019200558e+06 7.4331959423947027e+06 6.9214504167693192e+06 6.4480881715890327e+06 6.0178089360510772e+06 5.6326091341481358e+06 5.2921015059814835e+06 4.9937582954080515e+06 4.7338001109927744e+06 4.5079460909600873e+06 4.3117876839393545e+06 4.1412426508318563e+06 3.9926627829964836e+06 3.8630511988202832e+06 3.7497927912364812e+06 3.6508669280365719e+06 3.5644602429619487e+06 3.4892627706821430e+06 3.4240089111580220e+06 3.3676491137903905e+06 3.3193664884320772e+06 3.2783166572962683e+06 3.2436839405687423e+06 3.2148657597934594e+06 3.1911261682714787e+06 3.1719105975737614e+06 3.1565910138338478e+06 3.1446157321209661e+06 3.1352449602473476e+06 3.1277633017573459e+06 3.1216236006736122e+06 3.1163140236179465e+06 3.1113436461005029e+06 3.1078393963332069e+06 3.1043052264278717e+06 3.1007009144718191e+06 3.0969264164122930e+06 3.0930328281920194e+06 3.0889095977256419e+06 3.0846879017345193e+06 3.0800020170707400e+06 3.0749870757079488e+06 3.0695507863669447e+06 3.0636210805602362e+06 3.0571103835831746e+06 3.0499200403357190e+06 3.0419098224339434e+06 3.0330896185019054e+06 3.0231352088965806e+06 3.0119745123967966e+06 2.9994455823934120e+06 2.9853741396829528e+06 2.9695804576349086e+06 2.9518842645232631e+06 2.9320876455002083e+06 2.9102115054511046e+06 2.8858814760342455e+06 2.8591775721790297e+06 2.8301615737076621e+06 2.7990610764198499e+06 2.7662633169033905e+06 2.7325053541501220e+06 2.6988853160888674e+06 2.6671941431943947e+06 2.6396978454385335e+06 2.6199306019657315e+06 2.6128212685514251e+06 2.6255288313477030e+06 2.6684751646502754e+06 2.7574531335452115e+06 2.9174641539165708e+06 3.1906255755203948e+06 3.9372008933364181e+05 +1.4572724241414555e+01 1.5104603482832463e+07 1.5103042381987667e+07 1.5100377225249387e+07 1.5096731908872170e+07 1.5092745378467400e+07 1.5089519226078972e+07 1.5087589935531469e+07 1.5086090140835773e+07 1.5084056882660104e+07 1.5081178829493174e+07 1.5077426998212872e+07 1.5072676305106742e+07 1.5066739202913089e+07 1.5059411310125394e+07 1.5050469035588831e+07 1.5039645863243099e+07 1.5026621476989742e+07 1.5011019661230482e+07 1.4992400752235023e+07 1.4970249957907924e+07 1.4943967703047190e+07 1.4912846450940849e+07 1.4875932502618441e+07 1.4831589245119711e+07 1.4777939082608614e+07 1.4714052125424016e+07 1.4639028336713349e+07 1.4551389312807100e+07 1.4449320335530557e+07 1.4330794725612281e+07 1.4193603643451164e+07 1.4035379909628469e+07 1.3853637981320368e+07 1.3645836230745059e+07 1.3409467861934099e+07 1.3142182211708697e+07 1.2841943775902964e+07 1.2507226045124926e+07 1.2137238390294379e+07 1.1732169509910244e+07 1.1259473565356834e+07 1.0751531307988277e+07 1.0214041002027230e+07 9.6547943798112795e+06 9.0834239736685343e+06 8.5108681760340463e+06 7.9485801007548505e+06 7.4075734666268937e+06 6.8974641207307270e+06 6.4256405923076458e+06 5.9967815426305998e+06 5.6128706029233281e+06 5.2735157820070684e+06 4.9761925592412120e+06 4.7171300727943042e+06 4.4920588250162154e+06 4.2965831210126691e+06 4.1266333012801739e+06 3.9785728722735858e+06 3.8494148235939629e+06 3.7365528816091758e+06 3.6379733220755993e+06 3.5518690720672975e+06 3.4769347264341870e+06 3.4119091313152122e+06 3.3557464320537713e+06 3.3076326113948743e+06 3.2667262765236935e+06 3.2322146246949560e+06 3.2034971951410398e+06 3.1798406384289009e+06 3.1606923201611559e+06 3.1454264059940330e+06 3.1334931293648477e+06 3.1241552787280953e+06 3.1166999588483297e+06 3.1105819102288089e+06 3.1052910821036980e+06 3.1003382735352549e+06 3.0968464162472263e+06 3.0933247464889460e+06 3.0897331835657051e+06 3.0859720368085364e+06 3.0820922212245213e+06 3.0779835773508148e+06 3.0737768096969440e+06 3.0691075001811776e+06 3.0641102978900303e+06 3.0586932379899104e+06 3.0527845069134398e+06 3.0462968397238334e+06 3.0391319302781108e+06 3.0311500478237378e+06 3.0223610379517372e+06 3.0124418391036107e+06 3.0013206201945501e+06 2.9888360074457857e+06 2.9748143381189178e+06 2.9590765213050414e+06 2.9414429229355240e+06 2.9217163297882765e+06 2.8999175650556623e+06 2.8756735954514076e+06 2.8490641482284139e+06 2.8201507846949170e+06 2.7891602956042052e+06 2.7564785478224936e+06 2.7228399932384817e+06 2.6893388769463473e+06 2.6577597974136546e+06 2.6303607592949378e+06 2.6106634364199252e+06 2.6035792517119017e+06 2.6162418659230811e+06 2.6590362899746569e+06 2.7476995274840267e+06 2.9071445619725934e+06 3.1793397567829024e+06 3.9216978537576384e+05 +1.4577692564188814e+01 1.5057324440955570e+07 1.5055768215179145e+07 1.5053111286045372e+07 1.5049477066437004e+07 1.5045502464255387e+07 1.5042285504951656e+07 1.5040360999753108e+07 1.5038864337004794e+07 1.5036835547903381e+07 1.5033964199992875e+07 1.5030221314058641e+07 1.5025482112634679e+07 1.5019559536305899e+07 1.5012249727209447e+07 1.5003329658772944e+07 1.4992533494892592e+07 1.4979541735133853e+07 1.4963979120274670e+07 1.4945407104672873e+07 1.4923312210175876e+07 1.4897096395509062e+07 1.4866053941878304e+07 1.4829233623319453e+07 1.4785003071170324e+07 1.4731489476331655e+07 1.4667765358649475e+07 1.4592933158977313e+07 1.4505518463428911e+07 1.4403711454481071e+07 1.4285490990550507e+07 1.4148654364500986e+07 1.3990841100507129e+07 1.3809572871533886e+07 1.3602315666827003e+07 1.3366570525919873e+07 1.3099994576943005e+07 1.2800559690411035e+07 1.2466745829566112e+07 1.2097767323004158e+07 1.1693815598108025e+07 1.1222439977878723e+07 1.0715937016283693e+07 1.0179993573372474e+07 9.6223833024787921e+06 9.0527140314618982e+06 8.4818937341886014e+06 7.9213412504060213e+06 7.3820348515432347e+06 6.8735568793629678e+06 6.4032674446394453e+06 5.9758242240402577e+06 5.5931981181349382e+06 5.2549924425326949e+06 4.9586859231737396e+06 4.7005162186379135e+06 4.4762251729495218e+06 4.2814299162641047e+06 4.1120733346266346e+06 3.9645306156073720e+06 3.8358245902387276e+06 3.7233577906106897e+06 3.6251233783855517e+06 3.5393205534097315e+06 3.4646484557340271e+06 3.3998503628666713e+06 3.3438841037290301e+06 3.2959385243529100e+06 3.2551752068213681e+06 3.2207842157829832e+06 3.1921672010461716e+06 3.1685934017053503e+06 3.1495121109497650e+06 3.1342996866128687e+06 3.1224082741380939e+06 3.1131032340495815e+06 3.1056741639703354e+06 3.0995776946254717e+06 3.0943055519462768e+06 3.0893702527534417e+06 3.0858907458987436e+06 3.0823815338656078e+06 3.0788026767057716e+06 3.0750548359352760e+06 3.0711887462434522e+06 3.0670946394473244e+06 3.0629027494852799e+06 3.0582499588618116e+06 3.0532704354317961e+06 3.0478725397086646e+06 3.0419847121757269e+06 3.0355199966061572e+06 3.0283804346376271e+06 3.0204267914571688e+06 3.0116688697943441e+06 3.0017847621967127e+06 2.9907028868899504e+06 2.9782624409880592e+06 2.9642903761125938e+06 2.9486082349300915e+06 2.9310370188553683e+06 2.9113802139110640e+06 2.8896585619047191e+06 2.8655003600292904e+06 2.8389850488578472e+06 2.8101739719208241e+06 2.7792931176622147e+06 2.7467269878760222e+06 2.7132074361945186e+06 2.6798248380450518e+06 2.6483574714536313e+06 2.6210553628735598e+06 2.6014277232862040e+06 2.5943686019211905e+06 2.6069864201022577e+06 2.6496294504783731e+06 2.7379790247883792e+06 2.8968599943215498e+06 3.1680922417008542e+06 3.9062544965327199e+05 +1.4582660886963072e+01 1.5010183150894275e+07 1.5008631749004954e+07 1.5005983011767795e+07 1.5002359858291684e+07 1.4998397152119864e+07 1.4995189362123488e+07 1.4993269632577587e+07 1.4991776097917708e+07 1.4989751771297794e+07 1.4986887116905535e+07 1.4983153159728650e+07 1.4978425427963793e+07 1.4972517348924933e+07 1.4965225587284116e+07 1.4956327679872196e+07 1.4945558469074696e+07 1.4932599268385075e+07 1.4917075772937680e+07 1.4898550552773345e+07 1.4876511440934310e+07 1.4850361926754773e+07 1.4819398105435234e+07 1.4782671218618182e+07 1.4738553132601567e+07 1.4685175814890821e+07 1.4621614189651547e+07 1.4546973169522552e+07 1.4459782321197866e+07 1.4358236716446223e+07 1.4240320738360990e+07 1.4103837797581328e+07 1.3946434105379742e+07 1.3765638532228822e+07 1.3558924664330492e+07 1.3323801355122820e+07 1.3057933501161745e+07 1.2759300324276896e+07 1.2426388237182926e+07 1.2058416504693840e+07 1.1655579264899909e+07 1.1185520755293088e+07 1.0680453514083305e+07 1.0146053006449873e+07 9.5900748341972362e+06 9.0221021687115021e+06 8.4530126342860665e+06 7.8941908840576867e+06 7.3565798423181269e+06 6.8497284500923995e+06 6.3809684982334757e+06 5.9549367618265096e+06 5.5735914726369623e+06 5.2365312909574946e+06 4.9412382002764801e+06 4.6839583703102386e+06 4.4604449643432517e+06 4.2663279061905053e+06 4.0975625934637296e+06 3.9505358609513785e+06 3.8222803514151275e+06 3.7102073750262186e+06 3.6123169573679334e+06 3.5268145505398843e+06 3.4524038248802079e+06 3.3878324744974710e+06 3.3320619995564213e+06 3.2842840998018086e+06 3.2436633221896337e+06 3.2093925890932414e+06 3.1808756538342903e+06 3.1573843352892110e+06 3.1383698478338518e+06 3.1232107341467259e+06 3.1113610453507612e+06 3.1020887054649405e+06 3.0946857966576726e+06 3.0886108336327402e+06 3.0833573131180475e+06 3.0784394639204778e+06 3.0749722655840199e+06 3.0714754689930966e+06 3.0679092744660354e+06 3.0641746945145964e+06 3.0603222841176391e+06 3.0562426650414048e+06 3.0520656022899016e+06 3.0474292744800118e+06 3.0424673699005228e+06 3.0370885732953227e+06 3.0312215783440806e+06 3.0247797364841667e+06 3.0176654359490061e+06 3.0097399361699503e+06 3.0010129972042749e+06 2.9911638617374306e+06 2.9801211964771994e+06 2.9677247674908643e+06 2.9538021386818793e+06 2.9381754841294452e+06 2.9206664385879156e+06 2.9010791849360950e+06 2.8794343839113349e+06 2.8553616586145340e+06 2.8289401639422220e+06 2.8002310263774218e+06 2.7694594347856226e+06 2.7370085305191833e+06 2.7036075777697740e+06 2.6703430954349218e+06 2.6389870625822670e+06 2.6117815545022441e+06 2.5922233616572628e+06 2.5851892185496446e+06 2.5977623927590111e+06 2.6402545433858437e+06 2.7282915192551608e+06 2.8866103385963356e+06 3.1568829073885684e+06 3.8908705983102054e+05 +1.4587629209737331e+01 1.4963179209844409e+07 1.4961632589550406e+07 1.4958992033981536e+07 1.4955379926361907e+07 1.4951429083251575e+07 1.4948230439031582e+07 1.4946315475567741e+07 1.4944825065080011e+07 1.4942805194366692e+07 1.4939947221745789e+07 1.4936222176749984e+07 1.4931505892641770e+07 1.4925612282350935e+07 1.4918338531961286e+07 1.4909462740548255e+07 1.4898720427522635e+07 1.4885793718548534e+07 1.4870309261124279e+07 1.4851830738596756e+07 1.4829847292390270e+07 1.4803763939157227e+07 1.4772878584219001e+07 1.4736244931378109e+07 1.4692239072595324e+07 1.4638997741864827e+07 1.4575598262478100e+07 1.4501148012973968e+07 1.4414180531402262e+07 1.4312895767477060e+07 1.4195283616050269e+07 1.4059153590815084e+07 1.3902158573679117e+07 1.3721834614377106e+07 1.3515662876034917e+07 1.3281160004439849e+07 1.3015998641819857e+07 1.2718165337888956e+07 1.2386152931861661e+07 1.2019185603294365e+07 1.1617460182916299e+07 1.1148715576134697e+07 1.0645080486724589e+07 1.0112218994407201e+07 9.5578686769042145e+06 8.9915880971461739e+06 8.4242245987644736e+06 7.8671287355914358e+06 7.3312081848135879e+06 6.8259785910058403e+06 6.3587435233655851e+06 5.9341189381385939e+06 5.5540504598723194e+06 5.2181321312540714e+06 4.9238492041492350e+06 4.6674563501178334e+06 4.4447180292801280e+06 4.2512769277611980e+06 4.0831009208412678e+06 3.9365884567000004e+06 3.8087819602092816e+06 3.6971014920628211e+06 3.5995539198268205e+06 3.5143509274127306e+06 3.4402007005696669e+06 3.3758553352764039e+06 3.3202799906580281e+06 3.2726692106245761e+06 3.2321904970028731e+06 3.1980396202625968e+06 3.1696224301912962e+06 3.1462133167309468e+06 3.1272654090672042e+06 3.1121594274158818e+06 3.1003513222581781e+06 3.0911115725858388e+06 3.0837347368034432e+06 3.0776812073778030e+06 3.0724462459462690e+06 3.0675457875521551e+06 3.0640908559588497e+06 3.0606064326574183e+06 3.0570528577725017e+06 3.0533314936137539e+06 3.0494927160681030e+06 3.0454275355134499e+06 3.0412652496480877e+06 3.0366453287588982e+06 3.0317009832077757e+06 3.0263412208762411e+06 3.0204949877725327e+06 3.0140759419588018e+06 3.0069868170836242e+06 2.9990893651471478e+06 2.9903933037073985e+06 2.9805790216289847e+06 2.9695754332875828e+06 2.9572228717686762e+06 2.9433495111781452e+06 2.9277781548660891e+06 2.9103310687729693e+06 2.8908131302658264e+06 2.8692449193139565e+06 2.8452573803856527e+06 2.8189293836788046e+06 2.7903218393819998e+06 2.7596591394833704e+06 2.7273230695171603e+06 2.6940403130297964e+06 2.6608935454745302e+06 2.6296484683735529e+06 2.6025392328145034e+06 2.5830502509193816e+06 2.5760410012533464e+06 2.5885696830706298e+06 2.6309114662158256e+06 2.7186369049895420e+06 2.8763954827584089e+06 3.1457116313150935e+06 3.8755459365442803e+05 +1.4592597532511590e+01 1.4916312291590910e+07 1.4914770404387364e+07 1.4912137992978022e+07 1.4908536913232086e+07 1.4904597899605652e+07 1.4901408377893023e+07 1.4899498171006532e+07 1.4898010880763939e+07 1.4895995459372262e+07 1.4893144156780628e+07 1.4889428007415876e+07 1.4884723148966609e+07 1.4878843978914030e+07 1.4871588203623677e+07 1.4862734483236637e+07 1.4852019012715684e+07 1.4839124728211414e+07 1.4823679227520237e+07 1.4805247304937769e+07 1.4783319407480361e+07 1.4757302075866930e+07 1.4726495021581981e+07 1.4689954405214945e+07 1.4646060535104036e+07 1.4592954901603641e+07 1.4529717221946474e+07 1.4455457334717738e+07 1.4368712740069829e+07 1.4267688254419342e+07 1.4150379271379193e+07 1.4014601393040873e+07 1.3858014155570975e+07 1.3678160769676248e+07 1.3472529955482488e+07 1.3238646129563119e+07 1.2974189657099603e+07 1.2677154392436441e+07 1.2346039578243259e+07 1.1980074287500579e+07 1.1579458025576768e+07 1.1112024119667746e+07 1.0609817620280236e+07 1.0078491231113872e+07 9.5257645332836937e+06 8.9611715292549003e+06 8.3955293507791050e+06 7.8401545395934945e+06 7.3059196255672881e+06 6.8023070608557127e+06 6.3365922909610095e+06 5.9133705357385920e+06 5.5345748738781800e+06 5.1997947679464463e+06 4.9065187489409782e+06 4.6510099808884533e+06 4.4290441983318375e+06 4.2362768184226779e+06 4.0686881602616608e+06 3.9226882516957754e+06 3.7953292701482843e+06 3.6840399993434027e+06 3.5868341269788896e+06 3.5019295483819516e+06 3.4280389498854293e+06 3.3639188146624141e+06 3.3085379485350028e+06 3.2610937300766767e+06 3.2207566060017692e+06 3.1867251852888758e+06 3.1584074071607273e+06 3.1350802239435641e+06 3.1161986732641808e+06 3.1011456455941056e+06 3.0893789844862283e+06 3.0801717153810658e+06 3.0728208646548106e+06 3.0667886963377423e+06 3.0615722311109961e+06 3.0566891045196201e+06 3.0532463980244962e+06 3.0497743060009284e+06 3.0462333079020814e+06 3.0425251146567259e+06 3.0386999236654402e+06 3.0346491325934124e+06 3.0305015734561719e+06 3.0258980037668413e+06 3.0209711576135717e+06 3.0156303649162925e+06 3.0098048231555633e+06 3.0034084959751889e+06 2.9963444612678965e+06 2.9884749619184514e+06 2.9798096731679542e+06 2.9700301261202521e+06 2.9590654819977391e+06 2.9467566389797088e+06 2.9329323792955820e+06 2.9174161334395832e+06 2.9000307963879649e+06 2.8805819376325598e+06 2.8590900566860517e+06 2.8351874148406563e+06 2.8089525985965473e+06 2.7804463025705693e+06 2.7498921245832033e+06 2.7176704989552069e+06 2.6845055373529592e+06 2.6514760848240522e+06 2.6203415867048646e+06 2.5933282967351531e+06 2.5739082907590838e+06 2.5669238499928629e+06 2.5794081905062683e+06 2.6216001167990086e+06 2.7090150764140324e+06 2.8662153151012771e+06 3.1345782913137642e+06 3.8602802894920076e+05 +1.4597565855285849e+01 1.4869581996212309e+07 1.4868044861383475e+07 1.4865420538023073e+07 1.4861830462131249e+07 1.4857903243913956e+07 1.4854722821682094e+07 1.4852817361940524e+07 1.4851333187997719e+07 1.4849322209357714e+07 1.4846477565056833e+07 1.4842770294755755e+07 1.4838076840017367e+07 1.4832212081703810e+07 1.4824974245403044e+07 1.4816142551116673e+07 1.4805453867926605e+07 1.4792591940703051e+07 1.4777185315557605e+07 1.4758799895358050e+07 1.4736927429934746e+07 1.4710975980777415e+07 1.4680247061657531e+07 1.4643799284524724e+07 1.4600017164827881e+07 1.4547046939202333e+07 1.4483970713625763e+07 1.4409900780866209e+07 1.4323378594004942e+07 1.4222613824863944e+07 1.4105607352873832e+07 1.3970180853926685e+07 1.3814000501991592e+07 1.3634616650625562e+07 1.3429525556965593e+07 1.3196259386934508e+07 1.2932506205994282e+07 1.2636267149843449e+07 1.2306047841717906e+07 1.1941082226779003e+07 1.1541572467060558e+07 1.1075446065961342e+07 1.0574664601622103e+07 1.0044869411212491e+07 9.4937621067732293e+06 8.9308521782324538e+06 8.3669266142208902e+06 7.8132680313660866e+06 7.2807139118149187e+06 6.7787136190611403e+06 6.3145145725746946e+06 5.8926913380059889e+06 5.5151645092640314e+06 5.1815190061302613e+06 4.8892466493220124e+06 4.6346190859545469e+06 4.4134233025674513e+06 4.2213274160978701e+06 4.0543241556981122e+06 3.9088350952185942e+06 3.7819221351744337e+06 3.6710227549119648e+06 3.5741574404463908e+06 3.4895502782021170e+06 3.4159184403058044e+06 3.3520227824941715e+06 3.2968357450678665e+06 3.2495575317830513e+06 3.2093615243004467e+06 3.1754491605409253e+06 3.1472304621528061e+06 3.1239849351958479e+06 3.1051695193982148e+06 3.0901692682146188e+06 3.0784439120013355e+06 3.0692690141674140e+06 3.0619440608105296e+06 3.0559331813461240e+06 3.0507351496476200e+06 3.0458692960472945e+06 3.0424387731384654e+06 3.0389789705144633e+06 3.0354505064836573e+06 3.0317554394170013e+06 3.0279437888313606e+06 3.0239073383582770e+06 3.0197744559486108e+06 3.0151871819244735e+06 3.0102777757308865e+06 3.0049558882360174e+06 2.9991509675384201e+06 2.9927772818263760e+06 2.9857382520676781e+06 2.9778966103535695e+06 2.9692619897942119e+06 2.9595170598011161e+06 2.9485912276221034e+06 2.9363259546124740e+06 2.9225506290653697e+06 2.9070893064804710e+06 2.8897655087431641e+06 2.8703854951019133e+06 2.8489696849256353e+06 2.8251516518151951e+06 2.7990096995433024e+06 2.7706043078967808e+06 2.7401582832274619e+06 2.7080507132292762e+06 2.6750031464207345e+06 2.6420906104530660e+06 2.6110663157527638e+06 2.5841486454934156e+06 2.5647973811601563e+06 2.5578376650230926e+06 2.5702778148314413e+06 2.6123203932631277e+06 2.6994259282612177e+06 2.8560697242506058e+06 3.1234827655842099e+06 3.8450734362105723e+05 +1.4602534178060107e+01 1.4822987967506414e+07 1.4821455534616061e+07 1.4818839316150758e+07 1.4815260216828620e+07 1.4811344759720081e+07 1.4808173414147770e+07 1.4806272692175759e+07 1.4804791630546803e+07 1.4802785088105939e+07 1.4799947090371899e+07 1.4796248682602711e+07 1.4791566609602436e+07 1.4785716234592535e+07 1.4778496301191097e+07 1.4769686588122342e+07 1.4759024637159113e+07 1.4746195000118047e+07 1.4730827169437109e+07 1.4712488154182205e+07 1.4690671004222864e+07 1.4664785298556713e+07 1.4634134349310350e+07 1.4597779214446170e+07 1.4554108607239021e+07 1.4501273500517296e+07 1.4438358383860443e+07 1.4364477998342223e+07 1.4278177740785301e+07 1.4177672127167704e+07 1.4060967509834262e+07 1.3925891623855261e+07 1.3770117264659302e+07 1.3591201910471167e+07 1.3386649335560756e+07 1.3153999433768632e+07 1.2890947948237887e+07 1.2595503272825629e+07 1.2266177388513679e+07 1.1902209091367565e+07 1.1503803182302658e+07 1.1038981095837731e+07 1.0539621118364178e+07 1.0011353230100855e+07 9.4618611015517078e+06 8.9006297580246944e+06 8.3384161136913039e+06 7.7864689469057480e+06 7.2555907914767200e+06 6.7551980256949915e+06 6.2925101404052228e+06 5.8720811289171176e+06 5.4958191612319332e+06 5.1633046514481930e+06 4.8720327205083892e+06 4.6182834891593633e+06 4.3978551735450476e+06 4.2064285591778345e+06 4.0400087515644850e+06 3.8950288369949763e+06 3.7685604096683017e+06 3.6580496172236931e+06 3.5615237222578214e+06 3.4772129820228918e+06 3.4038390397000862e+06 3.3401671089951005e+06 3.2851732525174241e+06 3.2380604897444528e+06 3.1980051273788414e+06 3.1642114227490742e+06 3.1360914729403285e+06 3.1129273291242868e+06 3.0941778267988614e+06 3.0792301751716840e+06 3.0675459851365578e+06 3.0584033496212820e+06 3.0511042062250986e+06 3.0451145435849172e+06 3.0399348829382067e+06 3.0350862437042031e+06 3.0316678630078854e+06 3.0282203080365327e+06 3.0247043354963032e+06 3.0210223500160221e+06 3.0172241938366801e+06 3.0132020352389375e+06 3.0090837797180363e+06 3.0045127459968673e+06 2.9996207205174835e+06 2.9943176739997389e+06 2.9885333043110669e+06 2.9821821831504018e+06 2.9751680733943568e+06 2.9673541946756109e+06 2.9587501381402169e+06 2.9490397076017745e+06 2.9381525555158416e+06 2.9259307045023697e+06 2.9122041468564509e+06 2.8967975609624889e+06 2.8795350934799057e+06 2.8602236910704775e+06 2.8388836932640327e+06 2.8151499814594276e+06 2.7891005776908528e+06 2.7607957476400393e+06 2.7304575088784769e+06 2.6984636070469343e+06 2.6655330362281878e+06 2.6327370196338049e+06 2.6018225539966668e+06 2.5750001786137284e+06 2.5557174223985635e+06 2.5487823468910079e+06 2.5611784561167192e+06 2.6030721940390216e+06 2.6898693555715443e+06 2.8459585991583732e+06 3.1124249326780187e+06 3.8299251565545396e+05 +1.4607502500834366e+01 1.4776529826687885e+07 1.4775002100804148e+07 1.4772393970114550e+07 1.4768825821610507e+07 1.4764922091403371e+07 1.4761759799818892e+07 1.4759863806266716e+07 1.4758385852984343e+07 1.4756383740151308e+07 1.4753552377259701e+07 1.4749862815488957e+07 1.4745192102305433e+07 1.4739356082154198e+07 1.4732154015616378e+07 1.4723366238976061e+07 1.4712730965157958e+07 1.4699933551306672e+07 1.4684604434105357e+07 1.4666311726495776e+07 1.4644549775568929e+07 1.4618729674606701e+07 1.4588156530175891e+07 1.4551893840872679e+07 1.4508334508553341e+07 1.4455634232175807e+07 1.4392879879740492e+07 1.4319188634790810e+07 1.4233109828722537e+07 1.4132862810457032e+07 1.4016459392308088e+07 1.3881733353982247e+07 1.3726364096025186e+07 1.3547916203214323e+07 1.3343900947114622e+07 1.3111865928063160e+07 1.2849514544339260e+07 1.2554862424862819e+07 1.2226427885533674e+07 1.1863454552275244e+07 1.1466149847021474e+07 1.1002628890875788e+07 1.0504686858889053e+07 9.9779423839246780e+06 9.4300612225441709e+06 8.8705039833220523e+06 8.3099975745050712e+06 7.7597570229162378e+06 7.2305500131333834e+06 6.7317600414938610e+06 6.2705787672745101e+06 5.8515396930684308e+06 5.4765386255662851e+06 5.1451515101011815e+06 4.8548767782423971e+06 4.6020030148635032e+06 4.3823396433066716e+06 4.1915800865254411e+06 4.0257417927434277e+06 3.8812693271896741e+06 3.7552439484362872e+06 3.6451204451577780e+06 3.5489328348516100e+06 3.4649175253925226e+06 3.3918006163243037e+06 3.3283516647720998e+06 3.2735503435160969e+06 3.2266024783320469e+06 3.1866872910855305e+06 3.1530118490055860e+06 3.1249903176574744e+06 3.1019072847177875e+06 3.0832234751509703e+06 3.0683282467037295e+06 3.0566850845712828e+06 3.0475746027696319e+06 3.0403011822067006e+06 3.0343326645912607e+06 3.0291713127207020e+06 3.0243398294196106e+06 3.0209335496888920e+06 3.0174982007606248e+06 3.0139946772698229e+06 3.0103257289254409e+06 3.0065410212991401e+06 3.0025331060061385e+06 2.9984294276973316e+06 2.9938745790982312e+06 2.9889998752737693e+06 2.9837156057154047e+06 2.9779517172093480e+06 2.9716230839295890e+06 2.9646338095027297e+06 2.9568475994356917e+06 2.9482740030991230e+06 2.9385979547928553e+06 2.9277493513757796e+06 2.9155707748184646e+06 2.9018928193721613e+06 2.8865407841863222e+06 2.8693394385740194e+06 2.8500964142659605e+06 2.8288319712562752e+06 2.8051822942535076e+06 2.7792251245338907e+06 2.7510205143930255e+06 2.7207896953076799e+06 2.6889090754290707e+06 2.6560951030740235e+06 2.6234152099453066e+06 2.5926102002139376e+06 2.5658827959200805e+06 2.5466683150485852e+06 2.5397577964389422e+06 2.5521100147191403e+06 2.5938554178548609e+06 2.6803452537002265e+06 2.8358818291055560e+06 3.1014046715092533e+06 3.8148352311731270e+05 +1.4612470823608625e+01 1.4730207243125536e+07 1.4728684265185693e+07 1.4726084148352172e+07 1.4722526921191718e+07 1.4718634884094350e+07 1.4715481624004276e+07 1.4713590349534888e+07 1.4712115500577578e+07 1.4710117810782028e+07 1.4707293071030350e+07 1.4703612338744255e+07 1.4698952963460660e+07 1.4693131269788483e+07 1.4685947034115545e+07 1.4677181149114789e+07 1.4666572497466553e+07 1.4653807239873411e+07 1.4638516755281026e+07 1.4620270258122226e+07 1.4598563389984969e+07 1.4572808755107872e+07 1.4542313250650294e+07 1.4506142810466714e+07 1.4462694515768982e+07 1.4410128781557370e+07 1.4347534849123172e+07 1.4274032338622123e+07 1.4188174506915888e+07 1.4088185524591699e+07 1.3972082651116850e+07 1.3837705696235429e+07 1.3682740649343438e+07 1.3504759183639262e+07 1.3301280048208106e+07 1.3069858528560344e+07 1.2808205655579614e+07 1.2514344270191716e+07 1.2186799000525776e+07 1.1824818281272406e+07 1.1428612137695936e+07 1.0966389133421302e+07 1.0469861512310805e+07 9.9446365695793778e+06 9.3983621754096299e+06 8.8404745695214178e+06 8.2816707227115799e+06 7.7331319967968147e+06 7.2055913260732498e+06 6.7083994278388107e+06 6.2487202266408121e+06 5.8310668156599309e+06 5.4573226986295599e+06 5.1270593888556715e+06 4.8377786388024492e+06 4.5857774879328916e+06 4.3668765443955213e+06 4.1767818374754754e+06 4.0115231245603519e+06 3.8675564164045611e+06 3.7419726067115534e+06 3.6322350979995723e+06 3.5363846410664362e+06 3.4526637742545404e+06 3.3798030388213135e+06 3.3165763208116489e+06 3.2619668910733066e+06 3.2151833722906481e+06 3.1754078916385169e+06 3.1418503167732297e+06 3.1139268748000916e+06 3.0909246813246952e+06 3.0723063444999564e+06 3.0574633634114116e+06 3.0458610913420892e+06 3.0367826549941250e+06 3.0295348704089667e+06 3.0235874262525700e+06 3.0184443210800351e+06 3.0136299354624888e+06 3.0102357155867149e+06 3.0068125312244431e+06 3.0033214144750307e+06 2.9996654589622421e+06 2.9958941541851549e+06 2.9919004337851773e+06 2.9878112831666153e+06 2.9832725646870667e+06 2.9784151236515669e+06 2.9731495672384463e+06 2.9674060903106006e+06 2.9610998684884612e+06 2.9541353449878395e+06 2.9463767095399546e+06 2.9378334699052987e+06 2.9281916869852594e+06 2.9173815012325179e+06 2.9052460520691201e+06 2.8916165336510488e+06 2.8763188637922164e+06 2.8591784323316338e+06 2.8400035537433717e+06 2.8188144087851541e+06 2.7952484810031033e+06 2.7693832318816790e+06 2.7412785010682223e+06 2.7111547366065443e+06 2.6793870137040606e+06 2.6466892435673433e+06 2.6141250792639325e+06 2.5834291534847673e+06 2.5567963975320137e+06 2.5376499599758568e+06 2.5307639148036032e+06 2.5430723912947271e+06 2.5846699637447484e+06 2.6708535183116994e+06 2.8258393037010250e+06 3.0904218613546980e+06 3.7998034415074426e+05 +1.4617439146382884e+01 1.4684019851327432e+07 1.4682501657394368e+07 1.4679909506978750e+07 1.4676363160990922e+07 1.4672482783782873e+07 1.4669338532783765e+07 1.4667451968028499e+07 1.4665980219391208e+07 1.4663986946067918e+07 1.4661168817745512e+07 1.4657496898437506e+07 1.4652848839149348e+07 1.4647041443580085e+07 1.4639875002822289e+07 1.4631130964748943e+07 1.4620548880354149e+07 1.4607815712179147e+07 1.4592563779412426e+07 1.4574363395656560e+07 1.4552711494176155e+07 1.4527022186977161e+07 1.4496604157888109e+07 1.4460525770649748e+07 1.4417188276607238e+07 1.4364756796792563e+07 1.4302322940617925e+07 1.4229008759031398e+07 1.4143371425208623e+07 1.4043639920220688e+07 1.3927836937821956e+07 1.3793808303310156e+07 1.3639246578600213e+07 1.3461730507297577e+07 1.3258786296229547e+07 1.3027976894776268e+07 1.2767020944010330e+07 1.2473948473825134e+07 1.2147290401961038e+07 1.1786299950891534e+07 1.1391189731565930e+07 1.0930261506583013e+07 1.0435144768541183e+07 9.9114354847223684e+06 9.3667636665649619e+06 8.8105412327718418e+06 8.2534352850640239e+06 7.7065936066511758e+06 7.1807144802397238e+06 6.6851159467886817e+06 6.2269342926002955e+06 5.8106622824949417e+06 5.4381711773598436e+06 5.1090280950254975e+06 4.8207381189934993e+06 4.5696067337427344e+06 4.3514657098324886e+06 4.1620336518346602e+06 3.9973525927963490e+06 3.8538899556819233e+06 3.7287462401464749e+06 3.6193934354547551e+06 3.5238790041466951e+06 3.4404515949504366e+06 3.3678461762232971e+06 3.3048409484843961e+06 3.2504227685793615e+06 3.2038030467312601e+06 3.1641668056178843e+06 3.1307267038701465e+06 3.1029010232204446e+06 3.0799793986522984e+06 3.0614263152438030e+06 3.0466354062465802e+06 3.0350738868356543e+06 3.0260273880252638e+06 3.0188051528396173e+06 3.0128787108029500e+06 3.0077537904496174e+06 3.0029564444558825e+06 2.9995742434569481e+06 2.9961631823176448e+06 2.9926844301378336e+06 2.9890414232919794e+06 2.9852834758074111e+06 2.9813039020424508e+06 2.9772292297567092e+06 2.9727065865647877e+06 2.9678663496415303e+06 2.9626194427687759e+06 2.9568963080371297e+06 2.9506124214943512e+06 2.9436725647929269e+06 2.9359414102264130e+06 2.9274284241299247e+06 2.9178207901300434e+06 2.9070488914559782e+06 2.8949564230947001e+06 2.8813751770706698e+06 2.8661316877453527e+06 2.8490519633894372e+06 2.8299449988872004e+06 2.8088308960626745e+06 2.7853484328353363e+06 2.7595747918744283e+06 2.7315696008956353e+06 2.7015525271771527e+06 2.6698973175122445e+06 2.6373153546217992e+06 2.6048665257719606e+06 2.5742793131869035e+06 2.5477408838610672e+06 2.5286622583408789e+06 2.5218006034130394e+06 2.5340654867921909e+06 2.5755157310346770e+06 2.6613940453782277e+06 2.8158309128809655e+06 3.0794763818432386e+06 3.7848295697878150e+05 +1.4622407469157142e+01 1.4637967323033880e+07 1.4636453839232948e+07 1.4633869698951267e+07 1.4630334187263897e+07 1.4626465437254433e+07 1.4623330172995644e+07 1.4621448308578869e+07 1.4619979656230807e+07 1.4617990792795496e+07 1.4615179264201326e+07 1.4611516141384320e+07 1.4606879376220020e+07 1.4601086250405954e+07 1.4593937568655210e+07 1.4585215332856644e+07 1.4574659760849487e+07 1.4561958615333417e+07 1.4546745153737688e+07 1.4528590786437729e+07 1.4506993735677157e+07 1.4481369617895143e+07 1.4451028899779901e+07 1.4415042369570699e+07 1.4371815439574219e+07 1.4319517926766634e+07 1.4257243803585406e+07 1.4184117545935608e+07 1.4098700234198136e+07 1.3999225648736905e+07 1.3883721904782249e+07 1.3750040828631982e+07 1.3595881538543416e+07 1.3418829830488501e+07 1.3216419349282956e+07 1.2986220686983667e+07 1.2725960072419485e+07 1.2433674701531446e+07 1.2107901759094233e+07 1.1747899234425884e+07 1.1353882306638360e+07 1.0894245694226809e+07 1.0400536318213142e+07 9.8783388277568538e+06 9.3352654031670801e+06 8.7807036899402700e+06 8.2252909890349498e+06 7.6801415912730992e+06 7.1559192262620218e+06 6.6619093610360827e+06 6.2052207398660360e+06 5.7903258799829576e+06 5.4190838592851888e+06 5.0910574364732048e+06 4.8037550361523209e+06 4.5534905781725822e+06 4.3361069731298480e+06 4.1473353698697328e+06 3.9832300436926833e+06 3.8402697965007615e+06 3.7155647048213221e+06 3.6065953176401770e+06 3.5114157877364424e+06 3.4282808542100526e+06 3.3559298979501687e+06 3.2931454195381510e+06 3.2389178497928451e+06 3.1924613771376926e+06 3.1529639099672297e+06 3.1196408884800691e+06 3.0919126421251590e+06 3.0690713167600362e+06 3.0505832681304114e+06 3.0358442565122237e+06 3.0243233527922998e+06 3.0153086839408511e+06 3.0081119118565409e+06 3.0022064008277482e+06 2.9970996036162069e+06 2.9923192393703535e+06 2.9889490163988932e+06 2.9855500372709613e+06 2.9820836076295115e+06 2.9784535054273442e+06 2.9747088698221114e+06 2.9707433945918349e+06 2.9666831514357030e+06 2.9621765288816527e+06 2.9573534375803838e+06 2.9521251168447277e+06 2.9464222551538725e+06 2.9401606279556593e+06 2.9332453541931622e+06 2.9255415870752102e+06 2.9170587516879686e+06 2.9074851505127884e+06 2.8967514087565946e+06 2.8847017750783893e+06 2.8711686373346122e+06 2.8559791443502181e+06 2.8389599207178471e+06 2.8199206394083616e+06 2.7988813236204670e+06 2.7754820411998210e+06 2.7497996969631673e+06 2.7218937074190602e+06 2.6919829617355671e+06 2.6604398828022070e+06 2.6279733334549856e+06 2.5956394479555138e+06 2.5651605789959766e+06 2.5387161556202429e+06 2.5197051115983515e+06 2.5128677639900222e+06 2.5250892024544352e+06 2.5663926193545805e+06 2.6519667311790003e+06 2.8058565469081951e+06 3.0685681129593104e+06 3.7699133990310476e+05 +1.4627375791931401e+01 1.4592049318271141e+07 1.4590540490756487e+07 1.4587964367500596e+07 1.4584439647327323e+07 1.4580582492169460e+07 1.4577456192248454e+07 1.4575579018733161e+07 1.4574113458648520e+07 1.4572128998540923e+07 1.4569324057975939e+07 1.4565669715152035e+07 1.4561044222264702e+07 1.4555265337915327e+07 1.4548134379278706e+07 1.4539433901126819e+07 1.4528904786745230e+07 1.4516235597206496e+07 1.4501060526203927e+07 1.4482952078581920e+07 1.4461409762718191e+07 1.4435850696313361e+07 1.4405587124995532e+07 1.4369692256181145e+07 1.4326575653913952e+07 1.4274411821135750e+07 1.4212297088164439e+07 1.4139358350032561e+07 1.4054160585243283e+07 1.3954942362303026e+07 1.3839737205078296e+07 1.3706402926425379e+07 1.3552645184698444e+07 1.3376056810263544e+07 1.3174178866265595e+07 1.2944589566224178e+07 1.2685022704385003e+07 1.2393522619856555e+07 1.2068632741933972e+07 1.1709615805949682e+07 1.1316689541668387e+07 1.0858341380981218e+07 1.0366035852742208e+07 9.8453462978232559e+06 9.3038670930971988e+06 8.7509616586301643e+06 8.1972375628062058e+06 7.6537756901558656e+06 7.1312053154530413e+06 6.6387794339341214e+06 6.1835793437915817e+06 5.7700573951330157e+06 5.4000605424983231e+06 5.0731472216214156e+06 4.7868292081427313e+06 4.5374288476111116e+06 4.3208001682814127e+06 4.1326868323238725e+06 3.9691553239304540e+06 3.8266957907745633e+06 3.7024278572396613e+06 3.5938406050798800e+06 3.4989948558867709e+06 3.4161514191595656e+06 3.3440540738050858e+06 3.2814896060982384e+06 3.2274520088417372e+06 3.1811582393575795e+06 3.1417990820010682e+06 3.1085927491458622e+06 3.0809616110877730e+06 3.0582003160669450e+06 3.0397770842671515e+06 3.0250897958666855e+06 3.0136093713001707e+06 3.0046264251748938e+06 2.9974550301636900e+06 2.9915703792589372e+06 2.9864816437051073e+06 2.9817182035197355e+06 2.9783599178597671e+06 2.9749729796659108e+06 2.9715188306616270e+06 2.9679015892238482e+06 2.9641702202345831e+06 2.9602187955893567e+06 2.9561729325226150e+06 2.9516822761290139e+06 2.9468762721492061e+06 2.9416664743498531e+06 2.9359838167640301e+06 2.9297443732240503e+06 2.9228535988105526e+06 2.9151771260093059e+06 2.9067243388297702e+06 2.8971846547556431e+06 2.8864889401742630e+06 2.8744819955271506e+06 2.8609968024839652e+06 2.8458611222376842e+06 2.8289021936080363e+06 2.8099303653442441e+06 2.7889655823174510e+06 2.7656491978651686e+06 2.7400578399200668e+06 2.7122507145014121e+06 2.6824459353068969e+06 2.6510146058314983e+06 2.6186630775890034e+06 2.5864437445951602e+06 2.5560728508804478e+06 2.5297221138110771e+06 2.5107784214909207e+06 2.5039652985439976e+06 2.5161434398176116e+06 2.5573005286249775e+06 2.6425714723007125e+06 2.7959160963672483e+06 3.0576969350464605e+06 3.7550547130377230e+05 +1.4632344114705660e+01 1.4546265502614155e+07 1.4544761286527416e+07 1.4542193151262997e+07 1.4538679189484444e+07 1.4534833596967146e+07 1.4531716238918334e+07 1.4529843746814497e+07 1.4528381274947470e+07 1.4526401211596115e+07 1.4523602847378526e+07 1.4519957268093882e+07 1.4515343025631333e+07 1.4509578354453364e+07 1.4502465083094371e+07 1.4493786318053048e+07 1.4483283606569013e+07 1.4470646306425996e+07 1.4455509545556614e+07 1.4437446920911649e+07 1.4415959224309433e+07 1.4390465071417088e+07 1.4360278482935604e+07 1.4324475080149841e+07 1.4281468569633432e+07 1.4229438130298140e+07 1.4167482445210330e+07 1.4094730822765103e+07 1.4009752130467759e+07 1.3910789713814501e+07 1.3795882492538424e+07 1.3662894251640016e+07 1.3509537173327526e+07 1.3333411104461048e+07 1.3132064506846232e+07 1.2903083194305848e+07 1.2644208504236937e+07 1.2353491896097386e+07 1.2029483021253146e+07 1.1671449340273755e+07 1.1279611116194194e+07 1.0822548252226720e+07 1.0331643064271139e+07 9.8124575948300306e+06 9.2725684449920747e+06 8.7213148571696132e+06 8.1692747352793301e+06 7.6274956434883093e+06 7.1065724997795038e+06 6.6157259294946371e+06 6.1620098803487550e+06 5.7498566155567765e+06 5.3811010256724507e+06 5.0552972594360244e+06 4.7699604533536611e+06 4.5214213689485965e+06 4.3055451297694882e+06 4.1180878804001082e+06 3.9551282806389662e+06 3.8131677908529998e+06 3.6893355543313306e+06 3.5811291587127475e+06 3.4866160730474670e+06 3.4040631573175131e+06 3.3322185739783058e+06 3.2698733806711612e+06 3.2160251202366012e+06 3.1698935096117132e+06 3.1306721993881362e+06 3.0975821647680388e+06 3.0700478100362620e+06 3.0473662773392349e+06 3.0290076451107301e+06 3.0143719063130417e+06 3.0029318247976257e+06 2.9939804945027856e+06 2.9868343908149279e+06 2.9809705293767280e+06 2.9758997941955226e+06 2.9711532205669745e+06 2.9678068316332726e+06 2.9644318934271294e+06 2.9609899832937126e+06 2.9573855588821564e+06 2.9536674113890482e+06 2.9497299895358956e+06 2.9456984576707645e+06 2.9412237131398031e+06 2.9364347383682448e+06 2.9312434005096341e+06 2.9255808783139726e+06 2.9193635429870575e+06 2.9124971846016566e+06 2.9048479132858515e+06 2.8964250721415067e+06 2.8869191898199236e+06 2.8762613730836948e+06 2.8642969722873862e+06 2.8508595608888227e+06 2.8357775103689069e+06 2.8188786716865068e+06 2.7999740670610429e+06 2.7790835633375007e+06 2.7558497949267263e+06 2.7303491138399062e+06 2.7026405163156888e+06 2.6729413432301041e+06 2.6416213831651704e+06 2.6093844848523233e+06 2.5772793147767358e+06 2.5470160291139707e+06 2.5207586597307697e+06 2.5018820900552701e+06 2.4950931093757427e+06 2.5072281007070667e+06 2.5482393590720710e+06 2.6332081656392743e+06 2.7860094521703776e+06 3.0468627288021767e+06 3.7402532963895169e+05 +1.4637312437479919e+01 1.4500615473429475e+07 1.4499115877301367e+07 1.4496555691358333e+07 1.4493052462910274e+07 1.4489218400920371e+07 1.4486109962132484e+07 1.4484242141881308e+07 1.4482782754207218e+07 1.4480807081026157e+07 1.4478015281456476e+07 1.4474378449251121e+07 1.4469775435405329e+07 1.4464024949146833e+07 1.4456929329287430e+07 1.4448272232851453e+07 1.4437795869607659e+07 1.4425190392349411e+07 1.4410091861256175e+07 1.4392074963059843e+07 1.4370641770197492e+07 1.4345212393145338e+07 1.4315102623766204e+07 1.4279390491891896e+07 1.4236493837478759e+07 1.4184596505408034e+07 1.4122799526371418e+07 1.4050234616322033e+07 1.3965474522731591e+07 1.3866767356954152e+07 1.3752157421817202e+07 1.3619514459989889e+07 1.3466557161472799e+07 1.3290892371660365e+07 1.3090075931408755e+07 1.2861701233787525e+07 1.2603517137063809e+07 1.2313582198318392e+07 1.1990452268584734e+07 1.1633399513001740e+07 1.1242646710487880e+07 1.0786865994112840e+07 1.0297357645712115e+07 9.7796724194121044e+06 9.2413691682051420e+06 8.6917630045975074e+06 8.1414022360642152e+06 7.6013011921568587e+06 7.0820205319090523e+06 6.5927486123663699e+06 6.1405121261419691e+06 5.7297233294684337e+06 5.3622051080534309e+06 5.0375073594416110e+06 4.7531485907044923e+06 4.5054679695806298e+06 4.2903416925539114e+06 4.1035383557660324e+06 3.9411487614063895e+06 3.7996856495170989e+06 3.6762876534368130e+06 3.5684608398898235e+06 3.4742793040644303e+06 3.3920159365919731e+06 3.3204232690349761e+06 3.2582966161373081e+06 3.2046370588492407e+06 3.1586670644821227e+06 3.1195831401681658e+06 3.0866090146089010e+06 3.0591711192472787e+06 3.0365690817057951e+06 3.0182748324700338e+06 3.0036904702097927e+06 2.9922905960690374e+06 2.9833707750505912e+06 2.9762498772084354e+06 2.9704067348038782e+06 2.9653539389087702e+06 2.9606241745176390e+06 2.9572896418540641e+06 2.9539266628215802e+06 2.9504969499310232e+06 2.9469052989483941e+06 2.9432003279756247e+06 2.9392768612768976e+06 2.9352596118823416e+06 2.9308007250874569e+06 2.9260287215973386e+06 2.9208557808879442e+06 2.9152133255912573e+06 2.9090180232731425e+06 2.9021759978639986e+06 2.8945538354962580e+06 2.8861608385465806e+06 2.8766886429996747e+06 2.8660685951994662e+06 2.8541465935393041e+06 2.8407568012554231e+06 2.8257281980370167e+06 2.8088892449039775e+06 2.7900516352470964e+06 2.7692351581834215e+06 2.7460837247920767e+06 2.7206734121236429e+06 2.6930630073504229e+06 2.6634690811533155e+06 2.6322601116736503e+06 2.6001374533746461e+06 2.5681460578837269e+06 2.5379900142584206e+06 2.5118256949701449e+06 2.4930160196184218e+06 2.4862510990814078e+06 2.4983430872415956e+06 2.5392090112068281e+06 2.6238767083922308e+06 2.7761365055509252e+06 3.0360653752752705e+06 3.7255089344465162e+05 +1.4642280760254177e+01 1.4455098803276798e+07 1.4453603907252684e+07 1.4451051635579485e+07 1.4447559117452091e+07 1.4443736554082798e+07 1.4440637011748958e+07 1.4438773853768654e+07 1.4437317546226593e+07 1.4435346256626662e+07 1.4432561010051716e+07 1.4428932908488838e+07 1.4424341101447003e+07 1.4418604771897808e+07 1.4411526767766651e+07 1.4402891295477090e+07 1.4392441225897783e+07 1.4379867505116228e+07 1.4364807123549609e+07 1.4346835855360173e+07 1.4325457050910305e+07 1.4300092312186092e+07 1.4270059198413914e+07 1.4234438142608387e+07 1.4191651108973661e+07 1.4139886598365938e+07 1.4078247984028902e+07 1.4005869383667067e+07 1.3921327415663652e+07 1.3822874946130781e+07 1.3708561648234202e+07 1.3576263207970375e+07 1.3423704806932773e+07 1.3248500271199267e+07 1.3048212801141154e+07 1.2820443347980957e+07 1.2562948268715588e+07 1.2273793195329465e+07 1.1951540156221241e+07 1.1595466000464372e+07 1.1205796005601441e+07 1.0751294293523848e+07 1.0263179290727759e+07 9.7469904729564767e+06 9.2102689728496224e+06 8.6623058206971381e+06 8.1136197954744119e+06 7.5751920777347302e+06 7.0575491651598299e+06 6.5698472478500558e+06 6.1190858583864793e+06 5.7096573256799588e+06 5.3433725894705961e+06 5.0197773316993257e+06 4.7363934396274192e+06 4.4895684774020826e+06 4.2751896920841243e+06 4.0890381005554991e+06 3.9272166142598363e+06 3.7862492199804718e+06 3.6632840123260003e+06 3.5558355103610335e+06 3.4619844141835859e+06 3.3800096252808427e+06 3.3086680299339853e+06 3.2467591857530456e+06 3.1932876999267088e+06 3.1474787809162922e+06 3.1085317827357813e+06 3.0756731782849822e+06 3.0483314193575438e+06 3.0258086106411968e+06 3.0075785285023623e+06 2.9930453702596100e+06 2.9816855682511572e+06 2.9727971502915467e+06 2.9657013730890555e+06 2.9598788795123389e+06 2.9548439620111412e+06 2.9501309497244940e+06 2.9468082330056694e+06 2.9434571724638650e+06 2.9400396153180609e+06 2.9364606943038418e+06 2.9327688550215801e+06 2.9288592959922208e+06 2.9248562805002872e+06 2.9204131974891429e+06 2.9156581075390154e+06 2.9105035013861181e+06 2.9048810447178101e+06 2.8987077004485796e+06 2.8918899252287163e+06 2.8842947795761311e+06 2.8759315253036451e+06 2.8664929019225365e+06 2.8559104945616820e+06 2.8440307477890495e+06 2.8306884126119851e+06 2.8157130748604718e+06 2.7989338035352402e+06 2.7801629609160437e+06 2.7594202586809788e+06 2.7363508801945895e+06 2.7110306284968890e+06 2.6835180824109847e+06 2.6540290450347494e+06 2.6229306885328889e+06 2.5909218815877135e+06 2.5590438735951255e+06 2.5289947071729410e+06 2.5029231214074264e+06 2.4841801127961394e+06 2.4774391705358988e+06 2.4894883018283048e+06 2.5302093858451187e+06 2.6145769980655047e+06 2.7662971480675745e+06 3.0253047558697993e+06 3.7108214133445238e+05 +1.4647249083028436e+01 1.4409715279889548e+07 1.4408225024120234e+07 1.4405680637960304e+07 1.4402198803632621e+07 1.4398387707278911e+07 1.4395297038402811e+07 1.4393438533006437e+07 1.4391985301558750e+07 1.4390018388972819e+07 1.4387239683728864e+07 1.4383620296360254e+07 1.4379039674336795e+07 1.4373317473303502e+07 1.4366257049200190e+07 1.4357643156674968e+07 1.4347219326225793e+07 1.4334677295580572e+07 1.4319654983396184e+07 1.4301729248916766e+07 1.4280404717695029e+07 1.4255104479985291e+07 1.4225147858535931e+07 1.4189617684218915e+07 1.4146940036365593e+07 1.4095308061847024e+07 1.4033827471310347e+07 1.3961634778496908e+07 1.3877310463650737e+07 1.3779112136514481e+07 1.3665094827934999e+07 1.3533140152792042e+07 1.3380979768225605e+07 1.3206234463170730e+07 1.3006474777949333e+07 1.2779309200976098e+07 1.2522501565819765e+07 1.2234124556723392e+07 1.1912746357221249e+07 1.1557648479764748e+07 1.1169058683338232e+07 1.0715832838126400e+07 1.0229107693716155e+07 9.7144114575871043e+06 9.1792675697584487e+06 8.6329430259724166e+06 8.0859271445364058e+06 7.5491680424755197e+06 7.0331581535214782e+06 6.5470216019031461e+06 6.0977308549351161e+06 5.6896583935993863e+06 5.3246032703045681e+06 5.0021069868236557e+06 4.7196948200898701e+06 4.4737227208106965e+06 4.2600889642800447e+06 4.0745869573607245e+06 3.9133316876709275e+06 3.7728583558949144e+06 3.6503244891783078e+06 3.5432530322936457e+06 3.4497312690503900e+06 3.3680440920724319e+06 3.2969527280101003e+06 3.2352609631498172e+06 3.1819769190836083e+06 3.1363285362282568e+06 3.0975180058464385e+06 3.0647745357733760e+06 3.0375285913597476e+06 3.0150847459726217e+06 2.9969186157160350e+06 2.9824364895159029e+06 2.9711166248230585e+06 2.9622595040452871e+06 2.9551887625465132e+06 2.9493868478183965e+06 2.9443697480110577e+06 2.9396734308766155e+06 2.9363624899104848e+06 2.9330233073042817e+06 2.9296178645418761e+06 2.9260516301794434e+06 2.9223728779044426e+06 2.9184771792086563e+06 2.9144883492027833e+06 2.9100610161962048e+06 2.9053227822354245e+06 2.9001864482504842e+06 2.8945839221554217e+06 2.8884324612171096e+06 2.8816388536687484e+06 2.8740706327895434e+06 2.8657370200070925e+06 2.8563318545549596e+06 2.8457869595482638e+06 2.8339493238804806e+06 2.8206542843226362e+06 2.8057320307904840e+06 2.7890122381891869e+06 2.7703079354032837e+06 2.7496387569779851e+06 2.7266511541825831e+06 2.7014206569989980e+06 2.6740056366076320e+06 2.6446211311403411e+06 2.6136330112266638e+06 2.5817376682238639e+06 2.5499726618938791e+06 2.5200300090117827e+06 2.4940508412190787e+06 2.4753742724947990e+06 2.4686572269122461e+06 2.4806636471649823e+06 2.5212403840913847e+06 2.6053089324675910e+06 2.7564912715956299e+06 3.0145807523385030e+06 3.6961905199924187e+05 +1.4652217405802695e+01 1.4364464592354381e+07 1.4362978877113210e+07 1.4360442355736993e+07 1.4356971172631575e+07 1.4353171512027875e+07 1.4350089693425842e+07 1.4348235830927815e+07 1.4346785671528995e+07 1.4344823129367953e+07 1.4342050953782210e+07 1.4338440264195245e+07 1.4333870805436235e+07 1.4328162704760987e+07 1.4321119824996360e+07 1.4312527467879519e+07 1.4302129822141314e+07 1.4289619415378600e+07 1.4274635092518253e+07 1.4256754795599166e+07 1.4235484422559910e+07 1.4210248548744155e+07 1.4180368256547136e+07 1.4144928769419532e+07 1.4102360272675443e+07 1.4050860549241344e+07 1.3989537642122518e+07 1.3917530455275828e+07 1.3833423321810544e+07 1.3735478584041869e+07 1.3621756617770836e+07 1.3490144952433212e+07 1.3338381704675538e+07 1.3164094608419856e+07 1.2964861524529703e+07 1.2738298457604297e+07 1.2482176695724754e+07 1.2194575952828048e+07 1.1874070545399649e+07 1.1519946628770268e+07 1.1132434426242352e+07 1.0680481316298466e+07 1.0195142549847666e+07 9.6819350761836134e+06 9.1483646705034170e+06 8.6036743416296821e+06 8.0583240149809960e+06 7.5232288293427974e+06 7.0088472516638888e+06 6.5242714411145942e+06 6.0764468942541694e+06 5.6697263232205808e+06 5.3058969515195414e+06 4.9844961359707071e+06 4.7030525525722886e+06 4.4579305287018167e+06 4.2450393455439964e+06 4.0601847692379607e+06 3.8994938305641459e+06 3.7595129113343311e+06 3.6374089425976127e+06 3.5307132682553018e+06 3.4375197347055534e+06 3.3561192060385379e+06 3.2852772349757841e+06 3.2238018223354053e+06 3.1707045923045618e+06 3.1252162080926052e+06 3.0865416886173016e+06 3.0539129674014817e+06 3.0267625165928649e+06 3.0043973698795279e+06 2.9862949769682009e+06 2.9718637113808524e+06 2.9605836496132049e+06 2.9517577204724825e+06 2.9447119300162359e+06 2.9389305243765325e+06 2.9339311817625919e+06 2.9292515030139964e+06 2.9259522977319802e+06 2.9226249526419789e+06 2.9192315830315575e+06 2.9156779921443546e+06 2.9120122823317153e+06 2.9081303967931569e+06 2.9041557040127316e+06 2.8997440674053682e+06 2.8950226320637311e+06 2.8899045080576329e+06 2.8843218447054229e+06 2.8781921926171402e+06 2.8714226704881461e+06 2.8638812827366013e+06 2.8555772105852785e+06 2.8462053891868996e+06 2.8356978788671615e+06 2.8239022109814161e+06 2.8106543060764978e+06 2.7957849560915451e+06 2.7791244397875448e+06 2.7604864503693911e+06 2.7398905455432134e+06 2.7169844401225625e+06 2.6918433919815281e+06 2.6645255653676591e+06 2.6352452360451655e+06 2.6043669775388902e+06 2.5725847123170388e+06 2.5409323230521646e+06 2.5110958212199560e+06 2.4852087568635140e+06 2.4665984019040694e+06 2.4599051716615730e+06 2.4718690262394291e+06 2.5123019073442989e+06 2.5960724097096422e+06 2.7467187683370914e+06 3.0038932467892668e+06 3.6816160420694767e+05 +1.4657185728576954e+01 1.4319346225669872e+07 1.4317865098753311e+07 1.4315336444236435e+07 1.4311875876371127e+07 1.4308087620563015e+07 1.4305014628920404e+07 1.4303165399575513e+07 1.4301718308200642e+07 1.4299760129852522e+07 1.4296994472281067e+07 1.4293392464071596e+07 1.4288834146842390e+07 1.4283140118379297e+07 1.4276114747333333e+07 1.4267543881338747e+07 1.4257172365917748e+07 1.4244693516870115e+07 1.4229747103400160e+07 1.4211912147991052e+07 1.4190695818265153e+07 1.4165524171397295e+07 1.4135720045614054e+07 1.4100371051645255e+07 1.4057911471658019e+07 1.4006543714722164e+07 1.3945378151085179e+07 1.3873556069214821e+07 1.3789665646034256e+07 1.3691973945393223e+07 1.3578546675371567e+07 1.3447277265651429e+07 1.3295910276327280e+07 1.3122080368571034e+07 1.2923372704319103e+07 1.2697410783452330e+07 1.2441973326567542e+07 1.2155147054741247e+07 1.1835512395316610e+07 1.1482360126092253e+07 1.1095922917628136e+07 1.0645239417214351e+07 1.0161283555009991e+07 9.6495610323575065e+06 9.1175599873767868e+06 8.5744994896180276e+06 8.0308101392508224e+06 7.4973741819739742e+06 6.9846162149136737e+06 6.5015965327273495e+06 6.0552337554353913e+06 5.6498609051495641e+06 5.2872534346490148e+06 4.9669445908431197e+06 4.6864664580804296e+06 4.4421917304661060e+06 4.2300406727624517e+06 4.0458313797008670e+06 3.8857028923013145e+06 3.7462127408043821e+06 3.6245372316039191e+06 3.5182160812207838e+06 3.4253496775855413e+06 3.3442348366433019e+06 3.2736414229285638e+06 3.2123816376870377e+06 3.1594705959386961e+06 3.1141416745506828e+06 3.0756027105199727e+06 3.0430883538591233e+06 3.0160330767550156e+06 2.9937463648888036e+06 2.9757074954608846e+06 2.9613269195955973e+06 2.9500865267909691e+06 2.9412916840809546e+06 2.9342707602710305e+06 2.9285097941885847e+06 2.9235281484590722e+06 2.9188650515102176e+06 2.9155775419755382e+06 2.9122619941131352e+06 2.9088806565582347e+06 2.9053396661057877e+06 2.9016869543586415e+06 2.8978188349452768e+06 2.8938582312870813e+06 2.8894622376481658e+06 2.8847575437413962e+06 2.8796575677257194e+06 2.8740946995013095e+06 2.8679867820252064e+06 2.8612412633257518e+06 2.8537266173558580e+06 2.8454519852940235e+06 2.8361133944476470e+06 2.8256431415541815e+06 2.8138892985918345e+06 2.8006883678918406e+06 2.7858717413715287e+06 2.7692702995853517e+06 2.7506983977946928e+06 2.7301755171606415e+06 2.7073506316969832e+06 2.6822987281138501e+06 2.6550777644242547e+06 2.6259012566307294e+06 2.5951324855609657e+06 2.5634629131999677e+06 2.5319227576436372e+06 2.5021920455404432e+06 2.4763967710959264e+06 2.4578524045075532e+06 2.4511829085308337e+06 2.4631043423231998e+06 2.5033938572970964e+06 2.5868673282045247e+06 2.7369795308100027e+06 2.9932421216782453e+06 3.6670977680227195e+05 +1.4662154051351212e+01 1.4274359968653956e+07 1.4272883365578674e+07 1.4270362552859776e+07 1.4266912567653898e+07 1.4263135685809573e+07 1.4260071497689279e+07 1.4258226891757173e+07 1.4256782864358788e+07 1.4254829043230912e+07 1.4252069892035652e+07 1.4248476548801966e+07 1.4243929351374490e+07 1.4238249367032662e+07 1.4231241469114045e+07 1.4222692050005423e+07 1.4212346610589743e+07 1.4199899253168697e+07 1.4184990669267202e+07 1.4167200959449984e+07 1.4146038558309665e+07 1.4120931001636688e+07 1.4091202879658235e+07 1.4055944185058959e+07 1.4013593287820483e+07 1.3962357213198066e+07 1.3901348653598821e+07 1.3829711276264705e+07 1.3746037092942320e+07 1.3648597877999820e+07 1.3535464659109153e+07 1.3404536751933422e+07 1.3253565143979603e+07 1.3080191405978341e+07 1.2882007981508965e+07 1.2656645844879497e+07 1.2401891127223408e+07 1.2115837534315439e+07 1.1797071582294488e+07 1.1444888651090046e+07 1.1059523841551995e+07 1.0610106830762452e+07 1.0127530405860437e+07 9.6172890304533504e+06 9.0868532334159687e+06 8.5454181925885323e+06 8.0033852504790630e+06 7.4716038446952952e+06 6.9604647992580226e+06 6.4789966446227273e+06 6.0340912181821447e+06 5.6300619305733917e+06 5.2686725217821477e+06 4.9494521636804100e+06 4.6699363581359470e+06 4.4265061559995757e+06 4.2150927832896085e+06 4.0315266327269222e+06 3.8719587226859131e+06 3.7329576992385224e+06 3.6117092156302636e+06 3.5057613345713248e+06 3.4132209645220684e+06 3.3323908537367336e+06 3.2620451643399158e+06 3.2010002839575452e+06 3.1482748067008331e+06 3.1031048140024780e+06 3.0647009513883255e+06 3.0323005761814429e+06 3.0053401538874502e+06 2.9831316138767311e+06 2.9651560547466860e+06 2.9508259982550326e+06 2.9396251408734955e+06 2.9308612797196037e+06 2.9238651384344236e+06 2.9181245425959337e+06 2.9131605336379861e+06 2.9085139620844694e+06 2.9052381084919046e+06 2.9019343176910710e+06 2.8985649712275006e+06 2.8950365383060849e+06 2.8913967803712804e+06 2.8875423802073756e+06 2.8835958177222088e+06 2.8792154137926898e+06 2.8745274043179676e+06 2.8694455145049151e+06 2.8639023740130793e+06 2.8578161171480003e+06 2.8510945201534871e+06 2.8436065249134446e+06 2.8353612327276291e+06 2.8260557592918547e+06 2.8156226369785732e+06 2.8039104765362809e+06 2.7907563601138834e+06 2.7759922775512277e+06 2.7594497091542245e+06 2.7409436699801409e+06 2.7204935649366844e+06 2.6977496229036991e+06 2.6727865603704443e+06 2.6456621298249764e+06 2.6165890900827283e+06 2.5859294336863360e+06 2.5543721705052992e+06 2.5229438665344063e+06 2.4933185840012999e+06 2.4676147869567005e+06 2.4491361840724712e+06 2.4424903415473597e+06 2.4543694989807187e+06 2.4945161359355804e+06 2.5776935866708886e+06 2.7272734518532525e+06 2.9826272598093078e+06 3.6526354870642908e+05 +1.4667122374125471e+01 1.4229505343710143e+07 1.4228033348026564e+07 1.4225520329090750e+07 1.4222080900146278e+07 1.4218315361340061e+07 1.4215259953287806e+07 1.4213419961025910e+07 1.4211978993568875e+07 1.4210029523046838e+07 1.4207276866594614e+07 1.4203692171962712e+07 1.4199156072624424e+07 1.4193490104337245e+07 1.4186499643989470e+07 1.4177971627584068e+07 1.4167652209925348e+07 1.4155236278148744e+07 1.4140365444070520e+07 1.4122620884064583e+07 1.4101512296932159e+07 1.4076468693895884e+07 1.4046816413324198e+07 1.4011647824608674e+07 1.3969405376422893e+07 1.3918300700318562e+07 1.3857448805792922e+07 1.3785995733127886e+07 1.3702537319934359e+07 1.3605350040039485e+07 1.3492510228113212e+07 1.3361923071508005e+07 1.3211345969215468e+07 1.3038427383758167e+07 1.2840767021035651e+07 1.2616003308986114e+07 1.2361929767328553e+07 1.2076647064155437e+07 1.1758747782418881e+07 1.1407531883906951e+07 1.1023236882840129e+07 1.0575083247606754e+07 1.0093882799788347e+07 9.5851187755661812e+06 9.0562441223756336e+06 8.5164301739135832e+06 7.9760490825214777e+06 7.4459175625144141e+06 6.9363927613592371e+06 6.4564715453199148e+06 6.0130190628117863e+06 5.6103291912729917e+06 5.2501540155908745e+06 4.9320186672747359e+06 4.6534620747750690e+06 4.4108736356861815e+06 4.2001955149608767e+06 4.0172703727407837e+06 3.8582611719673169e+06 3.7197476419994072e+06 3.5989247545220046e+06 3.4933488920846018e+06 3.4011334627358532e+06 3.3205871275465577e+06 3.2504883320591347e+06 3.1896576362630627e+06 3.1371171016780287e+06 3.0921055052066445e+06 3.0538362914078990e+06 3.0215495157656255e+06 2.9946836303911088e+06 2.9725530000686506e+06 2.9546405387213212e+06 2.9403608317930582e+06 2.9291993767165169e+06 2.9204663925810726e+06 2.9134949499656213e+06 2.9077746552820005e+06 2.9028282231724886e+06 2.8981981207968155e+06 2.8949338834607997e+06 2.8916418096904624e+06 2.8882844134887401e+06 2.8847684953369680e+06 2.8811416470998083e+06 2.8773009194601383e+06 2.8733683503511208e+06 2.8690034830425745e+06 2.8643321011850131e+06 2.8592682359823086e+06 2.8537447560451124e+06 2.8476800860305643e+06 2.8409823292812770e+06 2.8335208940064446e+06 2.8253048418089808e+06 2.8160323730095620e+06 2.8056362548332568e+06 2.7939656349725979e+06 2.7808581734109544e+06 2.7661464558801423e+06 2.7496625603908333e+06 2.7312221595470640e+06 2.7108445822922192e+06 2.6881813080573403e+06 2.6633067840486085e+06 2.6362785579230273e+06 2.6073086338963909e+06 2.5767577206070623e+06 2.5453123841633755e+06 2.5139955508892522e+06 2.4844753389251716e+06 2.4588627077748599e+06 2.4404496446489315e+06 2.4338273750233902e+06 2.4456644000589740e+06 2.4856686455338206e+06 2.5685510841244678e+06 2.7176004246254684e+06 2.9720485443348410e+06 3.6382289891688031e+05 +1.4672090696899730e+01 1.4184782079468945e+07 1.4183314689448647e+07 1.4180809424722716e+07 1.4177380528394349e+07 1.4173626301421411e+07 1.4170579649991743e+07 1.4168744261670273e+07 1.4167306350124722e+07 1.4165361223589668e+07 1.4162615050254868e+07 1.4159038987849774e+07 1.4154513964928744e+07 1.4148861984645380e+07 1.4141888926368425e+07 1.4133382268535763e+07 1.4123088818457223e+07 1.4110704246418532e+07 1.4095871082535347e+07 1.4078171576693626e+07 1.4057116689148594e+07 1.4032136903361589e+07 1.4002560302032327e+07 1.3967481625964567e+07 1.3925347393468505e+07 1.3874373832485953e+07 1.3813678264564039e+07 1.3742409097260747e+07 1.3659165985123185e+07 1.3562230090442844e+07 1.3449683042254966e+07 1.3319435885386230e+07 1.3169252414317247e+07 1.2996787965764474e+07 1.2799649488605902e+07 1.2575482843609570e+07 1.2322088917274319e+07 1.2037575317620687e+07 1.1720540672523571e+07 1.1370289505408872e+07 1.0987061727048565e+07 1.0540168359148212e+07 1.0060340434925783e+07 9.5530499735160861e+06 9.0257323687453549e+06 8.4875351576855965e+06 7.9488013699084837e+06 7.4203150811285302e+06 6.9123998585423054e+06 6.4340210039956719e+06 5.9920170702637350e+06 5.5906624796252456e+06 5.2316977192990724e+06 4.9146439149436532e+06 4.6370434305533962e+06 4.3952940004073502e+06 4.1853487060886263e+06 4.0030624446362793e+06 3.8446100908323056e+06 3.7065824248717651e+06 3.5861837085476113e+06 3.4809786179499729e+06 3.3890870398491817e+06 3.3088235286908001e+06 3.2389707993158735e+06 3.1783535700996411e+06 3.1259973583118976e+06 3.0811436272840379e+06 3.0430086111253407e+06 3.0108350543525075e+06 2.9840633890075898e+06 2.9620104070346169e+06 2.9441608316274476e+06 2.9299313049878348e+06 2.9188091195237292e+06 2.9101069081983790e+06 2.9031600806655842e+06 2.8974600182678150e+06 2.8925311032748143e+06 2.8879174140356202e+06 2.8846647534084837e+06 2.8813843567667436e+06 2.8780388701223778e+06 2.8745354241153621e+06 2.8709214416074776e+06 2.8670943399158968e+06 2.8631757165434491e+06 2.8588263329371549e+06 2.8541715220663394e+06 2.8491256200838243e+06 2.8436217337331227e+06 2.8375785770482216e+06 2.8309045793462154e+06 2.8234696135694417e+06 2.8152827017885521e+06 2.8060431252155807e+06 2.7956838851449937e+06 2.7840546643824996e+06 2.7709936987768384e+06 2.7563341679287455e+06 2.7399087455159617e+06 2.7215337594371596e+06 2.7012284629710480e+06 2.6786455817844816e+06 2.6538592947463947e+06 2.6269269453811450e+06 2.5980597858687323e+06 2.5676172453179704e+06 2.5362834544021678e+06 2.5050777121610371e+06 2.4756622129245042e+06 2.4501404371671197e+06 2.4317926905784355e+06 2.4251939135585185e+06 2.4369889496925045e+06 2.4768512886548871e+06 2.5594397198818186e+06 2.7079603425994758e+06 2.9615058587565953e+06 3.6238780650707218e+05 +1.4677059019673989e+01 1.4140189895532111e+07 1.4138727037546568e+07 1.4136229495468361e+07 1.4132811107601287e+07 1.4129068160980366e+07 1.4126030242823666e+07 1.4124199448718401e+07 1.4122764589059887e+07 1.4120823799895605e+07 1.4118084098061010e+07 1.4114516651526222e+07 1.4110002683347289e+07 1.4104364663062826e+07 1.4097408971398441e+07 1.4088923628050616e+07 1.4078656091454189e+07 1.4066302813318228e+07 1.4051507240117688e+07 1.4033852692903899e+07 1.4012851390699107e+07 1.3987935285953999e+07 1.3958434201929575e+07 1.3923445245550761e+07 1.3881418995708788e+07 1.3830576266866518e+07 1.3770036687530629e+07 1.3698951026868680e+07 1.3615922747389628e+07 1.3519237688878657e+07 1.3406982762156457e+07 1.3277074855284840e+07 1.3127284142364964e+07 1.2955272816629292e+07 1.2758655050670527e+07 1.2535084117380565e+07 1.2282368248190304e+07 1.1998621968818212e+07 1.1682449930185985e+07 1.1333161197224326e+07 1.0950998060498029e+07 1.0505361857527209e+07 1.0026903010165045e+07 9.5210823308722265e+06 8.9953176877317410e+06 8.4587328687113244e+06 7.9216418478858275e+06 7.3947961469067549e+06 6.8884858487885222e+06 6.4116447904383587e+06 5.9710850220925380e+06 5.5710615885806167e+06 5.2133034366987711e+06 4.8973277205547029e+06 4.6206802485496104e+06 4.3797670815357603e+06 4.1705521954468829e+06 3.9889026937517049e+06 3.8310053304055785e+06 3.6934619040715634e+06 3.5734859383746181e+06 3.4686503767506895e+06 3.3770815638648444e+06 3.2970999281690139e+06 3.2274924397113603e+06 3.1670879613241800e+06 3.1149154544146177e+06 3.0702190597145525e+06 3.0322177914366028e+06 3.0001570740405177e+06 2.9734793128319476e+06 2.9515037186917644e+06 2.9337168180505489e+06 2.9195373029593248e+06 2.9084542548343320e+06 2.8997827124422779e+06 2.8928604166723113e+06 2.8871805179143362e+06 2.8822690605057469e+06 2.8776717285416704e+06 2.8744306051952862e+06 2.8711618459074763e+06 2.8678282282516165e+06 2.8643372119033872e+06 2.8607360512953568e+06 2.8569225291252793e+06 2.8530178040022715e+06 2.8486838513515731e+06 2.8440455550148766e+06 2.8390175550610321e+06 2.8335331955545368e+06 2.8275114789066492e+06 2.8208611593151535e+06 2.8134525728614759e+06 2.8052947022487735e+06 2.7960879058538140e+06 2.7857654182601594e+06 2.7741774555701264e+06 2.7611628275326095e+06 2.7465553055910682e+06 2.7301881570640318e+06 2.7118783629102884e+06 2.6916451010228083e+06 2.6691423390260478e+06 2.6444439883783157e+06 2.6176071891666804e+06 2.5888424440994714e+06 2.5585079071159330e+06 2.5272852817465370e+06 2.4961902520975214e+06 2.4668791089019007e+06 2.4414478790372205e+06 2.4231652264825976e+06 2.4165898620332391e+06 2.4283430522995149e+06 2.4680639681566311e+06 2.5503593935583867e+06 2.6983530995660089e+06 2.9509990869203750e+06 3.6095825062617497e+05 +1.4682027342448247e+01 1.4095728358632995e+07 1.4094270005151736e+07 1.4091780197960857e+07 1.4088372293588575e+07 1.4084640595648061e+07 1.4081611387507413e+07 1.4079785177968590e+07 1.4078353366178900e+07 1.4076416907741517e+07 1.4073683665801028e+07 1.4070124818786575e+07 1.4065621883711195e+07 1.4059997795450045e+07 1.4053059434960457e+07 1.4044595362083860e+07 1.4034353684922280e+07 1.4022031634955632e+07 1.4007273573028848e+07 1.3989663889038036e+07 1.3968716058055662e+07 1.3943863498369781e+07 1.3914437769907357e+07 1.3879538340517744e+07 1.3837619840616385e+07 1.3786907661337011e+07 1.3726523733067725e+07 1.3655621180905186e+07 1.3572807266375983e+07 1.3476372495780392e+07 1.3364409049202606e+07 1.3234839643721517e+07 1.3085440817157941e+07 1.2913881601720029e+07 1.2717783374430107e+07 1.2494806799639976e+07 1.2242767431985896e+07 1.1959786692620553e+07 1.1644475233746259e+07 1.1296146641725834e+07 1.0915045570248038e+07 1.0470663435638746e+07 9.9935702251136303e+06 9.4892155549194124e+06 8.9649997952808142e+06 8.4300230325027667e+06 7.8945702524015578e+06 7.3693605069080461e+06 6.8646504907373739e+06 6.3893426750930818e+06 5.9502227004606426e+06 5.5515263116897140e+06 5.1949709721384998e+06 4.8800698985049631e+06 4.6043723523415262e+06 4.3642927109390981e+06 4.1558058222949500e+06 3.9747909658861519e+06 3.8174467422530600e+06 3.6803859362289901e+06 3.5608313050887235e+06 3.4563640334725548e+06 3.3651169031853704e+06 3.2854161973643582e+06 3.2160531272213184e+06 3.1558606861668704e+06 3.1038712681578677e+06 3.0593316823347970e+06 3.0214637135950495e+06 2.9895154572741021e+06 2.9629312853046544e+06 2.9410328193019214e+06 2.9233083829191378e+06 2.9091787111728597e+06 2.8981346685323417e+06 2.8894936915311012e+06 2.8825958444652972e+06 2.8769360409206590e+06 2.8720419817495844e+06 2.8674609513803385e+06 2.8642313260196690e+06 2.8609741644369541e+06 2.8576523753313385e+06 2.8541737462909389e+06 2.8505853638943471e+06 2.8467853749720086e+06 2.8428945007645078e+06 2.8385759264927348e+06 2.8339540884213587e+06 2.8289439295000588e+06 2.8234790303034377e+06 2.8174786806473294e+06 2.8108519584897314e+06 2.8034696614748375e+06 2.7953407331012571e+06 2.7861666051959605e+06 2.7758807448607334e+06 2.7643338996682093e+06 2.7513654513190766e+06 2.7368097610843284e+06 2.7205006878941180e+06 2.7022558635395449e+06 2.6820943908200809e+06 2.6596714750384116e+06 2.6350607611684091e+06 2.6083191865587183e+06 2.5796565069961818e+06 2.5494296055963878e+06 2.5183177670152197e+06 2.4873330727412906e+06 2.4581259300472038e+06 2.4327849375727172e+06 2.4145671572676324e+06 2.4080151256109565e+06 2.4197266125832414e+06 2.4593065871856734e+06 2.5413100050702393e+06 2.6887785896331747e+06 2.9405281130168359e+06 3.5953421049882134e+05 +1.4686995665222506e+01 1.4051397085368210e+07 1.4049943290099092e+07 1.4047461187869061e+07 1.4044063742632320e+07 1.4040343261750493e+07 1.4037322740526678e+07 1.4035501105926558e+07 1.4034072337980906e+07 1.4032140203637045e+07 1.4029413409987858e+07 1.4025863146172775e+07 1.4021371222569810e+07 1.4015761038385173e+07 1.4008839973690441e+07 1.4000397127317894e+07 1.3990181255611725e+07 1.3977890368160922e+07 1.3963169738188751e+07 1.3945604822156288e+07 1.3924710348470526e+07 1.3899921197996140e+07 1.3870570663607093e+07 1.3835760568780432e+07 1.3793949586473159e+07 1.3743367674546469e+07 1.3683139060311114e+07 1.3612419219058301e+07 1.3529819202423988e+07 1.3433634172330355e+07 1.3321961565493129e+07 1.3192729913913103e+07 1.3043722103265464e+07 1.2872613987137217e+07 1.2677034127823835e+07 1.2454650560514273e+07 1.2203286141288362e+07 1.1921069164627548e+07 1.1606616262279034e+07 1.1259245522048635e+07 1.0879203944109403e+07 1.0436072787121842e+07 9.9603417801268995e+06 9.4574493536849767e+06 8.9347784080452751e+06 8.4014053752917070e+06 7.8675863200891530e+06 7.3440079088689815e+06 6.8408935436882069e+06 6.3671144290297749e+06 5.9294298881420372e+06 5.5320564430875015e+06 5.1767001305361344e+06 4.8628702637330052e+06 4.5881195660265796e+06 4.3488707209704481e+06 4.1411094263546416e+06 3.9607271072884309e+06 3.8039341783751762e+06 3.6673543784091854e+06 3.5482196701870677e+06 3.4441194535030387e+06 3.3531929265933172e+06 3.2737722080387520e+06 3.2046527361966367e+06 3.1446716212264346e+06 3.0928646780761965e+06 3.0484813753394596e+06 3.0107462592042419e+06 2.9789100868499530e+06 2.9524191902123704e+06 2.9305975934734247e+06 2.9129354115053318e+06 2.8988554154299865e+06 2.8878502468380621e+06 2.8792397320113410e+06 2.8723662508642301e+06 2.8667264743239055e+06 2.8618497542343489e+06 2.8572849699596409e+06 2.8540668034136249e+06 2.8508212000203407e+06 2.8475111991546787e+06 2.8440449152061585e+06 2.8404692674776423e+06 2.8366827656773119e+06 2.8328056952013173e+06 2.8285024469020562e+06 2.8238970110086203e+06 2.8189046323204739e+06 2.8134591271176594e+06 2.8074800716373324e+06 2.8008768664982389e+06 2.7935207693247930e+06 2.7854206845821287e+06 2.7762791138427323e+06 2.7660297559452695e+06 2.7545238881321140e+06 2.7416014621035899e+06 2.7270974269433101e+06 2.7108462311839806e+06 2.6926661552213361e+06 2.6725762270468306e+06 2.6502328853828115e+06 2.6257095096472916e+06 2.5990628351360993e+06 2.5705018732643686e+06 2.5403822406524923e+06 2.5093808113258760e+06 2.4785060764253461e+06 2.4494025798415430e+06 2.4241515172479507e+06 2.4059983881227514e+06 2.3994696097400789e+06 2.4111395355319590e+06 2.4505790491713774e+06 2.5322914546304285e+06 2.6792367072235998e+06 2.9300928215869777e+06 3.5811566542484646e+05 +1.4691963987996765e+01 1.4007195830734553e+07 1.4005746555334507e+07 1.4003272123057125e+07 1.3999885111455586e+07 1.3996175816364018e+07 1.3993163959070442e+07 1.3991346889857639e+07 1.3989921161740765e+07 1.3987993344844859e+07 1.3985272987900913e+07 1.3981731290961057e+07 1.3977250357231600e+07 1.3971654049200753e+07 1.3964750244954698e+07 1.3956328581161929e+07 1.3946138461030778e+07 1.3933878670522831e+07 1.3919195393307744e+07 1.3901675150083555e+07 1.3880833919875577e+07 1.3856108043008607e+07 1.3826832541424729e+07 1.3792111589011434e+07 1.3750407892222611e+07 1.3699955965880232e+07 1.3639882329103591e+07 1.3569344801760625e+07 1.3486958216668401e+07 1.3391022380425543e+07 1.3279639973907750e+07 1.3150745329846367e+07 1.3002127665983018e+07 1.2831469639741916e+07 1.2636406979561526e+07 1.2414615070834665e+07 1.2163924049495028e+07 1.1882469061211664e+07 1.1568872695625080e+07 1.1222457522063620e+07 1.0843472870636970e+07 1.0401589606352529e+07 9.9272173763032239e+06 9.4257834359254800e+06 8.9046532434075139e+06 8.3728796240094388e+06 7.8406897882857602e+06 7.3187381011992982e+06 6.8172147676088596e+06 6.3449598239638936e+06 5.9087063685249677e+06 5.5126517774909018e+06 5.1584907173619671e+06 4.8457286317083724e+06 4.5719217142131915e+06 4.3335009444819028e+06 4.1264628478206233e+06 3.9467109646592457e+06 3.7904674912115033e+06 3.6543670880880142e+06 3.5356508955698186e+06 3.4319165026214081e+06 3.3413095032716948e+06 3.2621678323319503e+06 3.1932911413624524e+06 3.1335206434569838e+06 3.0818955630619074e+06 3.0376680192767885e+06 3.0000653102207519e+06 2.9683408459118144e+06 2.9419429116916293e+06 2.9201979261550028e+06 2.9025977894204385e+06 2.8885673018752034e+06 2.8776008763135560e+06 2.8690207207722752e+06 2.8621715230199713e+06 2.8565517054965552e+06 2.8516922655228288e+06 2.8471436720206751e+06 2.8439369252445698e+06 2.8407028406473999e+06 2.8374045878441650e+06 2.8339506069136192e+06 2.8303876504460690e+06 2.8266145897890325e+06 2.8227512760163066e+06 2.8184633014506218e+06 2.8138742118320577e+06 2.8088995527719250e+06 2.8034733754600580e+06 2.7975155415760954e+06 2.7909357733006007e+06 2.7836057866618140e+06 2.7755344472574973e+06 2.7664253227140279e+06 2.7562123428414199e+06 2.7447473127422216e+06 2.7318707521692682e+06 2.7174181960231112e+06 2.7012246804289469e+06 2.6831091321626497e+06 2.6630905047029369e+06 2.6408264659350435e+06 2.6163901306536580e+06 2.5898380327846878e+06 2.5613784419130888e+06 2.5313657124760989e+06 2.5004743160900036e+06 2.4697091657693479e+06 2.4407089620479080e+06 2.4155475228219307e+06 2.3974588245202056e+06 2.3909532201495008e+06 2.4025817264140621e+06 2.4418812578349859e+06 2.5233036427480606e+06 2.6697273470733976e+06 2.9196930975073529e+06 3.5670259477902995e+05 +1.4696932310771023e+01 1.3963124213661667e+07 1.3961679453712767e+07 1.3959212667812167e+07 1.3955836057280995e+07 1.3952137917266697e+07 1.3949134701097051e+07 1.3947322187775604e+07 1.3945899495483814e+07 1.3943975989372779e+07 1.3941262057551496e+07 1.3937728911165981e+07 1.3933258945740696e+07 1.3927676485962490e+07 1.3920789906870874e+07 1.3912389381814495e+07 1.3902224959400518e+07 1.3889996200354291e+07 1.3875350196798753e+07 1.3857874531385077e+07 1.3837086431014087e+07 1.3812423692289893e+07 1.3783223062468825e+07 1.3748591060590846e+07 1.3706994417601392e+07 1.3656672195460621e+07 1.3596753200080492e+07 1.3526397590188906e+07 1.3444223970968667e+07 1.3348536782733720e+07 1.3237443938048333e+07 1.3108885556262607e+07 1.2960657171364654e+07 1.2790448227160279e+07 1.2595901599089466e+07 1.2374700002229529e+07 1.2124680830747947e+07 1.1843986059475921e+07 1.1531244214361960e+07 1.1185782326398777e+07 1.0807852039133336e+07 1.0367213588454146e+07 9.8941967154803015e+06 9.3942175111320373e+06 8.8746240194744356e+06 8.3444455063068448e+06 7.8138803950105160e+06 7.2935508329872089e+06 6.7936139230996845e+06 6.3228786322317887e+06 5.8880519256001581e+06 5.4933121101984074e+06 5.1403425386469373e+06 4.8286448184304973e+06 4.5557786220208677e+06 4.3181832147998847e+06 4.1118659273537225e+06 3.9327423851515152e+06 3.7770465336285010e+06 3.6414239231665246e+06 3.5231248435548791e+06 3.4197550470091901e+06 3.3294665027800226e+06 3.2506029427673807e+06 3.1819682178099458e+06 3.1224076301935827e+06 3.0709638023704537e+06 3.0268914950507917e+06 2.9894207489529015e+06 2.9578076179508944e+06 2.9315023342155362e+06 2.9098337026387844e+06 2.8922954026174149e+06 2.8783142569899112e+06 2.8673864438561411e+06 2.8588365450427029e+06 2.8520115484229564e+06 2.8464116221447424e+06 2.8415694035131573e+06 2.8370369456400960e+06 2.8338415797132263e+06 2.8306189746504962e+06 2.8273324298615502e+06 2.8238907100059660e+06 2.8203404015310453e+06 2.8165807361907931e+06 2.8127311322433813e+06 2.8084583793419469e+06 2.8038855802703178e+06 2.7989285804324211e+06 2.7935216651221784e+06 2.7875849804884754e+06 2.7810285691782264e+06 2.7737246040555658e+06 2.7656819120185035e+06 2.7566051230587307e+06 2.7464283971999944e+06 2.7350040655964538e+06 2.7221732141251825e+06 2.7077719615029129e+06 2.6916359294390930e+06 2.6735846888896460e+06 2.6536371190969096e+06 2.6314521128841541e+06 2.6071025213342300e+06 2.5806446776982923e+06 2.5522861122510331e+06 2.5223799215560155e+06 2.4915981830059676e+06 2.4609422436902947e+06 2.4320449807224781e+06 2.4069728593360628e+06 2.3889483722120309e+06 2.3824658628452569e+06 2.3940530907809827e+06 2.4332131171849580e+06 2.5143464702287479e+06 2.6602504042321164e+06 2.9093288260051855e+06 3.5529497801083513e+05 +1.4701900633545282e+01 1.3919181968685741e+07 1.3917741638318229e+07 1.3915282487530638e+07 1.3911916237842349e+07 1.3908229222997347e+07 1.3905234625282522e+07 1.3903426658409186e+07 1.3902006997928990e+07 1.3900087795954728e+07 1.3897380277664892e+07 1.3893855665562408e+07 1.3889396646863785e+07 1.3883828007491091e+07 1.3876958618296763e+07 1.3868579188153522e+07 1.3858440409708107e+07 1.3846242616723312e+07 1.3831633807840129e+07 1.3814202625336995e+07 1.3793467541344715e+07 1.3768867805510629e+07 1.3739741886617811e+07 1.3705198643646259e+07 1.3663708823079025e+07 1.3613516024155606e+07 1.3553751334575662e+07 1.3483577246284489e+07 1.3401616127910761e+07 1.3306177042661566e+07 1.3195373122275773e+07 1.3067150258622918e+07 1.2919310286206964e+07 1.2749549417743649e+07 1.2555517656584667e+07 1.2334905027029179e+07 1.2085556159930082e+07 1.1805619837281968e+07 1.1493730499821713e+07 1.1149219620406479e+07 1.0772341139647461e+07 1.0332944429292118e+07 9.8612795002183579e+06 9.3627512895217743e+06 8.8446904550670963e+06 8.3161027505414747e+06 7.7871578789887074e+06 7.2684458539978303e+06 6.7700907714306312e+06 6.3008706268048929e+06 5.8674663439680347e+06 5.4740372370975958e+06 5.1222554009749619e+06 4.8116186404399667e+06 4.5396901150742816e+06 4.3029173657482648e+06 4.0973185060854997e+06 3.9188212163687451e+06 3.7636711589370891e+06 3.6285247419653824e+06 3.5106413768575992e+06 3.4076349532421622e+06 3.3176637950673359e+06 3.2390774122422561e+06 3.1706838410070278e+06 3.1113324591235234e+06 3.0600692756182067e+06 3.0161516839224701e+06 2.9788124580564871e+06 2.9473102868074672e+06 2.9210973426070930e+06 2.8995048085577339e+06 2.8820281373904920e+06 2.8680961675933786e+06 2.8572068367005596e+06 2.8486870923805912e+06 2.8418862148981872e+06 2.8363061123124911e+06 2.8314810564379469e+06 2.8269646792261163e+06 2.8237806553565264e+06 2.8205694906906127e+06 2.8172946139962049e+06 2.8138651134065920e+06 2.8103274098022515e+06 2.8065810940964888e+06 2.8027451532477578e+06 2.7984875701095313e+06 2.7939310060387040e+06 2.7889916052107685e+06 2.7836038862222969e+06 2.7776882787294216e+06 2.7711551447444768e+06 2.7638771124092843e+06 2.7558629700796464e+06 2.7468184064523154e+06 2.7366778109915955e+06 2.7252940391177768e+06 2.7125087408978082e+06 2.6981586168727940e+06 2.6820798723423220e+06 2.6640927202378940e+06 2.6442159658532441e+06 2.6221097227239376e+06 2.5978465791420983e+06 2.5714826683671707e+06 2.5432247838889970e+06 2.5134247686789557e+06 2.4827523140740204e+06 2.4522052133883070e+06 2.4234105402011881e+06 2.3984274321146067e+06 2.3804669372325265e+06 2.3740074441190115e+06 2.3855535344661800e+06 2.4245745315112970e+06 2.5054198381750295e+06 2.6508057740618479e+06 2.8989998926413883e+06 3.5389279464415397e+05 +1.4706868956319541e+01 1.3875368687532173e+07 1.3873932748300485e+07 1.3871481240726369e+07 1.3868125311655063e+07 1.3864449392855326e+07 1.3861463391051739e+07 1.3859659961224683e+07 1.3858243328578364e+07 1.3856328424066028e+07 1.3853627307744624e+07 1.3850111213640511e+07 1.3845663120129796e+07 1.3840108273323286e+07 1.3833256038816130e+07 1.3824897659832019e+07 1.3814784471657360e+07 1.3802617579438619e+07 1.3788045886328440e+07 1.3770659091990786e+07 1.3749976911036612e+07 1.3725440043018131e+07 1.3696388674469052e+07 1.3661933999067016e+07 1.3620550769857882e+07 1.3570487113571851e+07 1.3510876394680928e+07 1.3440883432699449e+07 1.3359134350854062e+07 1.3263942824360522e+07 1.3153427191666819e+07 1.3025539103149382e+07 1.2878086678046178e+07 1.2708772880576963e+07 1.2515254822995465e+07 1.2295229818345025e+07 1.2046549712676609e+07 1.1767370073232623e+07 1.1456331234076196e+07 1.1112769090206154e+07 1.0736939862955280e+07 1.0298781825455695e+07 9.8284654338223189e+06 9.3313844820317999e+06 8.8148522697266228e+06 8.2878510857631927e+06 7.7605219796274425e+06 7.2434229146655528e+06 6.7466450745246084e+06 6.2789355812928565e+06 5.8469494088342534e+06 5.4548269546416327e+06 5.1042291114907498e+06 4.7946499148011338e+06 4.5236560195078431e+06 4.2877032316382304e+06 4.0828204256109805e+06 3.9049473063568519e+06 3.7503412208741228e+06 3.6156694032215136e+06 3.4982003586064549e+06 3.3955560882952944e+06 3.3059012504714760e+06 3.2275911140369279e+06 3.1594378867890523e+06 3.1002950083015459e+06 3.0492118627729560e+06 3.0054484675022401e+06 2.9682403205397292e+06 2.9368487366642132e+06 2.9107278220333606e+06 2.8892111298848190e+06 2.8717958803707091e+06 2.8579129208451053e+06 2.8470619424189897e+06 2.8385722506860290e+06 2.8317954106044937e+06 2.8262350643753982e+06 2.8214271128581879e+06 2.8169267615211676e+06 2.8137540410408811e+06 2.8105542777590891e+06 2.8072910293693454e+06 2.8038737063769419e+06 2.8003485646542632e+06 2.7966155530497804e+06 2.7927932287214682e+06 2.7885507636124482e+06 2.7840103791767359e+06 2.7790885173428301e+06 2.7737199292128976e+06 2.7678253269789275e+06 2.7613153909409493e+06 2.7540632029466880e+06 2.7460775129802218e+06 2.7370650647897013e+06 2.7269604765129667e+06 2.7156171260498567e+06 2.7028772257321849e+06 2.6885780559424772e+06 2.6725564035822055e+06 2.6546331213613497e+06 2.6348269409042704e+06 2.6127991922571007e+06 2.5886222018364281e+06 2.5623519035889539e+06 2.5341943567316942e+06 2.5045001549248719e+06 2.4739366115806284e+06 2.4434979783526803e+06 2.4148055451103528e+06 2.3899111467659948e+06 2.3720144258963633e+06 2.3655778705373011e+06 2.3770829635836878e+06 2.4159654053920219e+06 2.4965236479826379e+06 2.6413933522391487e+06 2.8887061833240413e+06 3.5249602427704917e+05 +1.4711837279093800e+01 1.3831683962740621e+07 1.3830252466074994e+07 1.3827808581965096e+07 1.3824462938445820e+07 1.3820798086890325e+07 1.3817820658582890e+07 1.3816021756463103e+07 1.3814608147667125e+07 1.3812697533922847e+07 1.3810002808017453e+07 1.3806495215637125e+07 1.3802058025788272e+07 1.3796516943767933e+07 1.3789681828765173e+07 1.3781344457255568e+07 1.3771256805714287e+07 1.3759120749017803e+07 1.3744586092910906e+07 1.3727243592108434e+07 1.3706614201036371e+07 1.3682140065947523e+07 1.3653163087364463e+07 1.3618796788454516e+07 1.3577519919877611e+07 1.3527585126061566e+07 1.3468128043232994e+07 1.3398315812841073e+07 1.3316778303888554e+07 1.3221833792713165e+07 1.3111605812096685e+07 1.2984051756810103e+07 1.2836986015172899e+07 1.2668118285527172e+07 1.2475112769997504e+07 1.2255674049999848e+07 1.2007661165362338e+07 1.1729236446680179e+07 1.1419046099947574e+07 1.1076430422651557e+07 1.0701647900596363e+07 1.0264725474286254e+07 9.7957542203302290e+06 9.3001168003354203e+06 8.7851091837056261e+06 8.2596902417439083e+06 7.7339724370302530e+06 7.2184817660893910e+06 6.7232765949498042e+06 6.2570732699185293e+06 5.8265009060098659e+06 5.4356810598809868e+06 5.0862634778886344e+06 4.7777384591078758e+06 4.5076761619613087e+06 4.2725406472538728e+06 4.0683715279922164e+06 3.8911205036140294e+06 3.7370565736027928e+06 3.6028577660945938e+06 3.4858016523271324e+06 3.3835183195277615e+06 3.2941787397152851e+06 3.2161439218001878e+06 3.1482302313560136e+06 3.0892951561447782e+06 3.0383914441637699e+06 2.9947817277539559e+06 2.9577042197578638e+06 2.9264228520479384e+06 2.9003936580000496e+06 2.8789525529370657e+06 2.8615985185252051e+06 2.8477644042376722e+06 2.8369516489174240e+06 2.8284919081874951e+06 2.8217390240360918e+06 2.8161983670408796e+06 2.8114074616724774e+06 2.8069230815979466e+06 2.8037616259635906e+06 2.8005732251821845e+06 2.7973215654349062e+06 2.7939163785018432e+06 2.7904037558139139e+06 2.7866840029241410e+06 2.7828752486907691e+06 2.7786478500469960e+06 2.7741235900581344e+06 2.7692192073918558e+06 2.7638696848656065e+06 2.7579960162446825e+06 2.7515091990247415e+06 2.7442827672144114e+06 2.7363254325845456e+06 2.7273449902871097e+06 2.7172762863789536e+06 2.7059732194554536e+06 2.6932785621939567e+06 2.6790301728429776e+06 2.6630654179183180e+06 2.6452057877224400e+06 2.6254699404937024e+06 2.6035204185969937e+06 2.5794292874805392e+06 2.5532522824628530e+06 2.5251947309890473e+06 2.4956059816690963e+06 2.4651509781060442e+06 2.4348204423642340e+06 2.4062299003558545e+06 2.3814239091775203e+06 2.3635907447946263e+06 2.3571770489466446e+06 2.3686412845271556e+06 2.4073856436929279e+06 2.4876578013406233e+06 2.6320130347476713e+06 2.8784475842993264e+06 3.5110464658149838e+05 +1.4716805601868058e+01 1.3788127491916938e+07 1.3786700479502561e+07 1.3784264166903742e+07 1.3780928779472353e+07 1.3777274965953829e+07 1.3774306088772103e+07 1.3772511705069905e+07 1.3771101116125414e+07 1.3769194786480036e+07 1.3766506439437238e+07 1.3763007332529690e+07 1.3758581024854809e+07 1.3753053679830780e+07 1.3746235649205428e+07 1.3737919241513239e+07 1.3727857073052313e+07 1.3715751786757819e+07 1.3701254088976793e+07 1.3683955787215779e+07 1.3663379072994534e+07 1.3638967536157792e+07 1.3610064787391186e+07 1.3575786674186895e+07 1.3534615935839431e+07 1.3484809724715779e+07 1.3425505943793286e+07 1.3355874050848562e+07 1.3274547651816111e+07 1.3179849613355499e+07 1.3069908650104577e+07 1.2942687887295628e+07 1.2796007966614811e+07 1.2627585303164212e+07 1.2435091170020835e+07 1.2216237396604262e+07 1.1968890195108622e+07 1.1691218637701681e+07 1.1381874780981015e+07 1.1040203305333314e+07 1.0666464944833072e+07 1.0230775073861754e+07 9.7631455645039659e+06 9.2689479568284117e+06 8.7554609179760199e+06 8.2316199489523191e+06 7.7075089919789191e+06 7.1936221600520853e+06 6.6999850959278308e+06 6.2352834675414404e+06 5.8061206219022218e+06 5.4165993504319759e+06 5.0683583084157845e+06 4.7608840914835287e+06 4.4917503695772523e+06 4.2574294478792641e+06 4.0539716557506905e+06 3.8773406570834713e+06 3.7238170717327418e+06 3.5900896901510982e+06 3.4734451219588858e+06 3.3715215147016784e+06 3.2824961338979723e+06 3.2047357095591980e+06 3.1370607512828629e+06 3.0783327814313169e+06 3.0276079004740627e+06 2.9841513469934324e+06 2.9472040394102256e+06 2.9160325178351095e+06 2.8900947363527552e+06 2.8687289643656844e+06 2.8514359391616220e+06 2.8376505056011919e+06 2.8268758444331852e+06 2.8184459534514286e+06 2.8117169440149707e+06 2.8061959093492529e+06 2.8014219921093397e+06 2.7969535288602207e+06 2.7938032996545057e+06 2.7906262226148434e+06 2.7873861119740121e+06 2.7839930196986296e+06 2.7804928733336474e+06 2.7767863339218777e+06 2.7729911035086447e+06 2.7687787199273291e+06 2.7642705293746800e+06 2.7593835662457719e+06 2.7540530442823288e+06 2.7482002378579141e+06 2.7417364605876305e+06 2.7345356970857382e+06 2.7266066210756567e+06 2.7176580754862311e+06 2.7076251335278191e+06 2.6963622127152300e+06 2.6837126441651615e+06 2.6695148620142057e+06 2.6536068104213048e+06 2.6358106150978301e+06 2.6161448611767483e+06 2.5942732991598900e+06 2.5702677344413968e+06 2.5441837043853868e+06 2.5162258071643985e+06 2.4867421505841552e+06 2.4563953165201801e+06 2.4261725094858543e+06 2.3976835111300689e+06 2.3729656255176836e+06 2.3551958008013526e+06 2.3488048864720087e+06 2.3602284039686690e+06 2.3988351515576034e+06 2.4788222002327149e+06 2.6226647178829890e+06 2.8682239821524597e+06 3.4971864130313945e+05 +1.4721773924642317e+01 1.3744699067261798e+07 1.3743276423171466e+07 1.3740847653673630e+07 1.3737522497527033e+07 1.3733879691621203e+07 1.3730919343287811e+07 1.3729129468728501e+07 1.3727721895676376e+07 1.3725819843417896e+07 1.3723137863694729e+07 1.3719647226015283e+07 1.3715231779029580e+07 1.3709718143283736e+07 1.3702917161934067e+07 1.3694621674489159e+07 1.3684584935622832e+07 1.3672510354661446e+07 1.3658049536650099e+07 1.3640795339556186e+07 1.3620271189344764e+07 1.3595922116241334e+07 1.3567093437366093e+07 1.3532903319327902e+07 1.3491838481145356e+07 1.3442160573346004e+07 1.3383009760685014e+07 1.3313557811622009e+07 1.3232442060211973e+07 1.3137989952634649e+07 1.3028335373025717e+07 1.2901447163043860e+07 1.2755152202129615e+07 1.2587173604814034e+07 1.2395189696233155e+07 1.2176919533472134e+07 1.1930236479779219e+07 1.1653316327151870e+07 1.1344816961491019e+07 1.1004087426598677e+07 1.0631390688665606e+07 1.0196930322988681e+07 9.7306391718396489e+06 9.2378776646264605e+06 8.7259071942235995e+06 8.2036399385497971e+06 7.6811313859554213e+06 7.1688438490019534e+06 6.6767703413244123e+06 6.2135659496474368e+06 5.7858083435338065e+06 5.3975816244833115e+06 5.0505134118721336e+06 4.7440866305828495e+06 4.4758784700093111e+06 4.2423694692616230e+06 4.0396206518740421e+06 3.8636076161526912e+06 3.7106225702851671e+06 3.5773650353831607e+06 3.4611306318353792e+06 3.3595655419640006e+06 3.2708533045086935e+06 3.1933663517154385e+06 3.1259293235077583e+06 3.0674077633039244e+06 3.0168611127419807e+06 2.9735572078864407e+06 2.9367396635513697e+06 2.9056776192388129e+06 2.8798309432815653e+06 2.8585402511612223e+06 2.8413080299234069e+06 2.8275711131010689e+06 2.8168344175437288e+06 2.8084342753734482e+06 2.8017290596992872e+06 2.7962275806741528e+06 2.7914705937268198e+06 2.7870179930434157e+06 2.7838789519709679e+06 2.7807131600386105e+06 2.7774845590980886e+06 2.7741035202116081e+06 2.7706158076000251e+06 2.7669224365697713e+06 2.7631406838509501e+06 2.7589432640966536e+06 2.7544510881509208e+06 2.7495814851219212e+06 2.7442698988864906e+06 2.7384378834752920e+06 2.7319970675368947e+06 2.7248218847553800e+06 2.7169209709641584e+06 2.7080042132443329e+06 2.6980069112113132e+06 2.6867839995277110e+06 2.6741793658397556e+06 2.6600320182147808e+06 2.6441804764774819e+06 2.6264474995722533e+06 2.6068515998135763e+06 2.5850577316711452e+06 2.5611374413908948e+06 2.5351460690560602e+06 2.5072874860573811e+06 2.4779085636314135e+06 2.4476695299840998e+06 2.4175540840703729e+06 2.3891662829063218e+06 2.3645362022359348e+06 2.3468295010640388e+06 2.3404612905155015e+06 2.3518442288586739e+06 2.3903138344143685e+06 2.4700167469371748e+06 2.6133482982518356e+06 2.8580352638100376e+06 3.4833798826101626e+05 +1.4726742247416576e+01 1.3701398165520187e+07 1.3699979978229372e+07 1.3697558703151433e+07 1.3694243756428195e+07 1.3690611926262304e+07 1.3687660084524924e+07 1.3685874709848188e+07 1.3684470148734923e+07 1.3682572367168250e+07 1.3679896743228702e+07 1.3676414558550050e+07 1.3672009950800413e+07 1.3666509996622279e+07 1.3659726029506825e+07 1.3651451418764461e+07 1.3641440056055253e+07 1.3629396115483297e+07 1.3614972098769447e+07 1.3597761912103280e+07 1.3577290213201709e+07 1.3553003469517063e+07 1.3524248700862074e+07 1.3490146387711070e+07 1.3449187219965342e+07 1.3399637336524742e+07 1.3340639158939626e+07 1.3271366760765940e+07 1.3190461195382802e+07 1.3096254477690551e+07 1.2986885648934625e+07 1.2860329253248589e+07 1.2714418392234331e+07 1.2546882862563869e+07 1.2355408022523655e+07 1.2137720136666117e+07 1.1891699697983541e+07 1.1615529196585760e+07 1.1307872326518528e+07 1.0968082475512968e+07 1.0596424825850869e+07 1.0163190921215741e+07 9.6982347485616263e+06 9.2069056375577282e+06 8.6964477348480038e+06 8.1757499424056318e+06 7.6548393611106519e+06 7.1441465860529700e+06 6.6536320956614101e+06 6.1919204923434025e+06 5.7655638585109366e+06 5.3786276808167202e+06 5.0327285976043111e+06 4.7273458955769436e+06 4.4600602914039018e+06 4.2273605476446440e+06 4.0253183598127491e+06 3.8499212306530145e+06 3.6974729247168195e+06 3.5646836621885747e+06 3.4488580466961223e+06 3.3476502698587296e+06 3.2592501234094026e+06 3.1820357230455768e+06 3.1148358253343282e+06 3.0565199812567988e+06 3.0061509623607607e+06 2.9629991934478269e+06 2.9263109765691389e+06 2.8953580418198323e+06 2.8696021653155573e+06 2.8483863006520923e+06 2.8312146787851145e+06 2.8175261152323191e+06 2.8068272571527897e+06 2.7984567631804547e+06 2.7917752605754104e+06 2.7862932707175668e+06 2.7815531564129451e+06 2.7771163642110238e+06 2.7739884730990035e+06 2.7708339277642299e+06 2.7676167972473269e+06 2.7642477706134003e+06 2.7607724493215377e+06 2.7570922017250750e+06 2.7533238807219202e+06 2.7491413737297389e+06 2.7446651577351182e+06 2.7398128555578692e+06 2.7345201404300667e+06 2.7287088450765191e+06 2.7222909121098132e+06 2.7151412227408770e+06 2.7072683750749454e+06 2.6983832967439932e+06 2.6884215130069880e+06 2.6772384739123480e+06 2.6646786217386257e+06 2.6505815365188094e+06 2.6347863117843112e+06 2.6171163375460333e+06 2.5975900535743064e+06 2.5758736141609838e+06 2.5520383072996582e+06 2.5261392764747906e+06 2.4983796687688180e+06 2.4691051230677860e+06 2.4389735219440074e+06 2.4089650707552410e+06 2.3806781214420581e+06 2.3561355460616876e+06 2.3384917530094427e+06 2.3321461687536547e+06 2.3434886664288207e+06 2.3818215979768024e+06 2.4612413440168956e+06 2.6040636727667782e+06 2.8478813165292530e+06 3.4696266734732449e+05 +1.4731710570190835e+01 1.3658224452236244e+07 1.3656810780460631e+07 1.3654396978696197e+07 1.3651092220435247e+07 1.3647471333013279e+07 1.3644527975597307e+07 1.3642747091606677e+07 1.3641345538468799e+07 1.3639452020888975e+07 1.3636782741208268e+07 1.3633308993315341e+07 1.3628915203356711e+07 1.3623428903072415e+07 1.3616661915187391e+07 1.3608408137656277e+07 1.3598422097777260e+07 1.3586408732707620e+07 1.3572021438935431e+07 1.3554855168605633e+07 1.3534435808453243e+07 1.3510211260065069e+07 1.3481530242139436e+07 1.3447515543916961e+07 1.3406661817178549e+07 1.3357239679557309e+07 1.3298393804359181e+07 1.3229300564652279e+07 1.3148604724364430e+07 1.3054642856342157e+07 1.2945559146602567e+07 1.2819333827837562e+07 1.2673806208166489e+07 1.2506712749198698e+07 1.2315745823565919e+07 1.2098638883009676e+07 1.1853279529064598e+07 1.1577856928328542e+07 1.1271040561840856e+07 1.0932188141895896e+07 1.0561567050855972e+07 1.0129556568811586e+07 9.6659320016311277e+06 9.1760315901984721e+06 8.6670822629630342e+06 8.1479496930922195e+06 7.6286326602997668e+06 7.1195301249878174e+06 6.6305701240917826e+06 6.1703468723567789e+06 5.7453869550487055e+06 5.3597373187666023e+06 5.0150036755099725e+06 4.7106617061678544e+06 4.4442956624132283e+06 4.2124025197424991e+06 4.0110646234732647e+06 3.8362813508594055e+06 3.6843679909137790e+06 3.5520454313869034e+06 3.4366272316787960e+06 3.3357755673186132e+06 3.2476864628552762e+06 3.1707436986955474e+06 3.1037801344318842e+06 3.0456693151475019e+06 2.9954773310797075e+06 2.9524771870414033e+06 2.9159178632069286e+06 2.8850736714766691e+06 2.8594082893164717e+06 2.8382670005029789e+06 2.8211557740605609e+06 2.8075154008251447e+06 2.7968542525002104e+06 2.7885133064328991e+06 2.7818554364627432e+06 2.7763928695089193e+06 2.7716695703831548e+06 2.7672485327515448e+06 2.7641317535541179e+06 2.7609884164329078e+06 2.7577827171867182e+06 2.7544256618033522e+06 2.7509626895331810e+06 2.7472955205694190e+06 2.7435405854538628e+06 2.7393729403177728e+06 2.7349126297984417e+06 2.7300775694200415e+06 2.7248036609819201e+06 2.7190130149601633e+06 2.7126178868592093e+06 2.7054936038789502e+06 2.6976487265581405e+06 2.6887952194823469e+06 2.6788688328053183e+06 2.6677255302009955e+06 2.6552103066853560e+06 2.6411633123097536e+06 2.6254242123504174e+06 2.6078170257234341e+06 2.5883601199357775e+06 2.5667208449609489e+06 2.5429702314449614e+06 2.5171632269357988e+06 2.4895022566878321e+06 2.4603317314429232e+06 2.4303071961396821e+06 2.4004053744618408e+06 2.3722189327757983e+06 2.3477635639992389e+06 2.3301824643416042e+06 2.3238594291414553e+06 2.3351616241822084e+06 2.3733583482357878e+06 2.4524958943350920e+06 2.5948107386488235e+06 2.8377620279106856e+06 3.4559265852716041e+05 +1.4736678892965093e+01 1.3615177726747774e+07 1.3613768453765141e+07 1.3611362146186350e+07 1.3608067553850586e+07 1.3604457575755903e+07 1.3601522680399647e+07 1.3599746277880212e+07 1.3598347728785822e+07 1.3596458468463570e+07 1.3593795521519035e+07 1.3590330194207847e+07 1.3585947200627109e+07 1.3580474526591841e+07 1.3573724482978474e+07 1.3565491495237628e+07 1.3555530724902576e+07 1.3543547870542135e+07 1.3529197221463609e+07 1.3512074773481240e+07 1.3491707639712989e+07 1.3467545152681228e+07 1.3438937726251567e+07 1.3405010453224877e+07 1.3364261938439662e+07 1.3314967268460991e+07 1.3256273363447767e+07 1.3187358890355982e+07 1.3106872314937467e+07 1.3013154757186785e+07 1.2904355535580019e+07 1.2778460557449086e+07 1.2633315321912343e+07 1.2466662938295841e+07 1.2276202774724517e+07 1.2059675450039452e+07 1.1814975653104790e+07 1.1540299205439620e+07 1.1234321353983629e+07 1.0896404116294507e+07 1.0526817058906941e+07 1.0096026966790041e+07 9.6337306387160514e+06 9.1452552378147282e+06 8.6378105023753159e+06 8.1202389238785477e+06 7.6025110270374008e+06 7.0949942202393757e+06 6.6075841924238047e+06 6.1488448670450551e+06 5.7252774219570141e+06 5.3409103382548839e+06 4.9973384560355274e+06 4.6940338825754207e+06 4.4285844121907158e+06 4.1974952227527080e+06 3.9968592872218471e+06 3.8226878274891446e+06 3.6713076251847469e+06 3.5394502041968731e+06 3.4244380523264422e+06 3.3239413036598796e+06 3.2361621954689417e+06 3.1594901541818655e+06 3.0927621288348436e+06 3.0348556451940788e+06 2.9848401009945041e+06 2.9419910723791542e+06 2.9055602085441118e+06 2.8748243944487427e+06 2.8492492024917020e+06 2.8281822387104672e+06 2.8111312043952853e+06 2.7975388590439912e+06 2.7869152931556362e+06 2.7786037950193905e+06 2.7719694775069267e+06 2.7665262674074471e+06 2.7618197261840343e+06 2.7574143893857757e+06 2.7543086841792814e+06 2.7511765170092862e+06 2.7479822100093015e+06 2.7446370850062193e+06 2.7411864195975312e+06 2.7375322846095865e+06 2.7337906897001523e+06 2.7296378556831698e+06 2.7251933963369457e+06 2.7203755188924409e+06 2.7151203529399396e+06 2.7093502857554532e+06 2.7029778846610039e+06 2.6958789213252161e+06 2.6880619188798182e+06 2.6792398752749097e+06 2.6693487648136290e+06 2.6582450630418193e+06 2.6457743158261729e+06 2.6317772412869316e+06 2.6160940744945225e+06 2.5985494611197771e+06 2.5791616966810706e+06 2.5575993227086239e+06 2.5339331134001231e+06 2.5082178210366359e+06 2.4806551515025212e+06 2.4515882915920741e+06 2.4216704565940178e+06 2.3918749003940918e+06 2.3637886232259735e+06 2.3394201633348428e+06 2.3219015430391347e+06 2.3156009799055266e+06 2.3268630099027101e+06 2.3649239914669991e+06 2.4437803010355001e+06 2.5855893934256742e+06 2.8276772858881620e+06 3.4422794183826802e+05 +1.4741647215739352e+01 1.3572257676906303e+07 1.3570852700284673e+07 1.3568453874288807e+07 1.3565169420858063e+07 1.3561570319121400e+07 1.3558643863545857e+07 1.3556871933306402e+07 1.3555476384289475e+07 1.3553591374521267e+07 1.3550934748795792e+07 1.3547477825883899e+07 1.3543105607283663e+07 1.3537646531880848e+07 1.3530913397625066e+07 1.3522701156295476e+07 1.3512765602293139e+07 1.3500813193947526e+07 1.3486499111425700e+07 1.3469420391944971e+07 1.3449105372322684e+07 1.3425004812892154e+07 1.3396470818943001e+07 1.3362630781674638e+07 1.3321987250082539e+07 1.3272819770015221e+07 1.3214277503450919e+07 1.3145541405726951e+07 1.3065263635601629e+07 1.2971789849533293e+07 1.2863274486134795e+07 1.2737709113491630e+07 1.2592945406196848e+07 1.2426733104109038e+07 1.2236778552140597e+07 1.2020829516045565e+07 1.1776787750933183e+07 1.1502855711701507e+07 1.1197714390210824e+07 1.0860730089996738e+07 1.0492174545951802e+07 1.0062601816887660e+07 9.6016303682262748e+06 9.1145762964079250e+06 8.6086321776225101e+06 8.0926173687215513e+06 7.5764742055379534e+06 7.0705386269182758e+06 6.5846740671111103e+06 6.1274142543740952e+06 5.7052350486392444e+06 5.3221465397643233e+06 4.9797327501731189e+06 4.6774622455448965e+06 4.4129263703862224e+06 4.1826384943493968e+06 3.9827021958864057e+06 3.8091405116977566e+06 3.6582916842661910e+06 3.5268978422632222e+06 3.4122903745748387e+06 3.3121473485930483e+06 3.2246771942574969e+06 3.1482749653936517e+06 3.0817816869389201e+06 3.0240788519643312e+06 2.9742391545553626e+06 2.9315407335190731e+06 2.8952378980082255e+06 2.8646100973149012e+06 2.8391247923791683e+06 2.8181319036107836e+06 2.8011408587659905e+06 2.7875963793810434e+06 2.7770102690154416e+06 2.7687281191576831e+06 2.7621172741810055e+06 2.7566933551003942e+06 2.7520035146879745e+06 2.7476138251596317e+06 2.7445191561411181e+06 2.7413981207867130e+06 2.7382151671335832e+06 2.7348819317712099e+06 2.7314435312039140e+06 2.7278023856770853e+06 2.7240740854405169e+06 2.7199360119671631e+06 2.7155073496675710e+06 2.7107065964852502e+06 2.7054701090179044e+06 2.6997205503997160e+06 2.6933707987132911e+06 2.6862970685586156e+06 2.6785078458250826e+06 2.6697171582575897e+06 2.6598612035608147e+06 2.6487969673982323e+06 2.6363705446156836e+06 2.6224232194581181e+06 2.6067957948453943e+06 2.5893135410580891e+06 2.5699946818994856e+06 2.5485089463473847e+06 2.5249268530417439e+06 2.4993029596649655e+06 2.4718382551935418e+06 2.4428747066467884e+06 2.4130632076194566e+06 2.3833735540422462e+06 2.3553870993921943e+06 2.3311052516285651e+06 2.3136488973546708e+06 2.3073707295492650e+06 2.3185927316472600e+06 2.3565184342218959e+06 2.4350944675599709e+06 2.5763995349333305e+06 2.8176269787285975e+06 3.4286849739078840e+05 +1.4746615538513611e+01 1.3529463892630467e+07 1.3528063217967095e+07 1.3525671830924267e+07 1.3522397485961633e+07 1.3518809228454791e+07 1.3515891190380894e+07 1.3514123723232782e+07 1.3512731170356868e+07 1.3510850404420106e+07 1.3508200088393690e+07 1.3504751553710584e+07 1.3500390088720514e+07 1.3494944584372349e+07 1.3488228324581912e+07 1.3480036786369096e+07 1.3470126395555433e+07 1.3458204368588824e+07 1.3443926774594307e+07 1.3426891689904144e+07 1.3406628672366112e+07 1.3382589906967333e+07 1.3354129186710496e+07 1.3320376196025647e+07 1.3279837419231247e+07 1.3230796851716151e+07 1.3172405892384803e+07 1.3103847779320667e+07 1.3023778355611008e+07 1.2930547803435117e+07 1.2822315669264091e+07 1.2697079168085149e+07 1.2552696134474829e+07 1.2386922921673091e+07 1.2197472832662130e+07 1.1982100760055805e+07 1.1738715504099747e+07 1.1465526131656226e+07 1.1161219358505836e+07 1.0825165755036181e+07 1.0457639208667360e+07 1.0029280821573637e+07 9.5696308992978726e+06 9.0839944826923218e+06 8.5795470139302015e+06 8.0650847622800348e+06 7.5505219406831246e+06 7.0461631007957468e+06 6.5618395152330678e+06 6.1060548129363284e+06 5.6852596250962038e+06 5.3034457243481250e+06 4.9621863694502134e+06 4.6609466163411355e+06 4.3973213671461316e+06 4.1678321726810848e+06 3.9685931947478326e+06 3.7956392550766529e+06 3.6453200253118696e+06 3.5143882076270496e+06 3.4001840647596279e+06 3.3003935722090937e+06 3.2132313326037535e+06 3.1370980085912733e+06 3.0708386874988074e+06 3.0133388163902215e+06 2.9636743745628637e+06 2.9211260548651181e+06 2.8849508173660683e+06 2.8544306669948562e+06 2.8290349468584037e+06 2.8081158838713965e+06 2.7911846264825347e+06 2.7776878516576341e+06 2.7671390703051263e+06 2.7588861693922207e+06 2.7522987172894310e+06 2.7468940236029625e+06 2.7422208270893875e+06 2.7378467314443765e+06 2.7347630609333045e+06 2.7316531193800396e+06 2.7284814803004363e+06 2.7251600939748669e+06 2.7217339163575205e+06 2.7181057159238094e+06 2.7143906649763850e+06 2.7102673016357804e+06 2.7058543824308761e+06 2.7010706950268815e+06 2.6958528222550363e+06 2.6901237021640809e+06 2.6837965225281138e+06 2.6767479393728981e+06 2.6689864014985589e+06 2.6602269628808792e+06 2.6504060438826298e+06 2.6393811385505889e+06 2.6269988888237067e+06 2.6131011431443011e+06 2.5975292703417595e+06 2.5801091631659400e+06 2.5608589739816091e+06 2.5394496151164980e+06 2.5159513505429397e+06 2.4904185440131160e+06 2.4630514700353621e+06 2.4341908800256010e+06 2.4044853538139653e+06 2.3749012411776287e+06 2.3470142681473037e+06 2.3228187367188428e+06 2.3054244358165027e+06 2.2991685868497430e+06 2.3103506977473609e+06 2.3481415833347351e+06 2.4264382976326323e+06 2.5672410613115048e+06 2.8076109950340227e+06 3.4151430536700977e+05 +1.4751583861287870e+01 1.3486795933041800e+07 1.3485399653584324e+07 1.3483015683029015e+07 1.3479751414136443e+07 1.3476173969850766e+07 1.3473264326989580e+07 1.3471501313752200e+07 1.3470111753083091e+07 1.3468235224223047e+07 1.3465591206426391e+07 1.3462151043795152e+07 1.3457800311061155e+07 1.3452368350233864e+07 1.3445668930061467e+07 1.3437498051698633e+07 1.3427612770992100e+07 1.3415721060891125e+07 1.3401479877494479e+07 1.3384488334000861e+07 1.3364277206631450e+07 1.3340300101900339e+07 1.3311912496775791e+07 1.3278246363775419e+07 1.3237812113683114e+07 1.3188898181791825e+07 1.3130658198935088e+07 1.3062277680428736e+07 1.2982416144945417e+07 1.2889428289679216e+07 1.2781478756719284e+07 1.2656570394107595e+07 1.2512567180949150e+07 1.2347232066742983e+07 1.2158285293895546e+07 1.1943488861827388e+07 1.1700758594913732e+07 1.1428310150558580e+07 1.1124835947603524e+07 1.0789710804155657e+07 1.0423210744470084e+07 9.9960636840410940e+06 9.5377319417691566e+06 9.0535095140912104e+06 8.5505547372407392e+06 8.0376408398998333e+06 7.5246539780413629e+06 7.0218673983067945e+06 6.5390803045232650e+06 6.0847663219416952e+06 5.6653509419167349e+06 5.2848076936350623e+06 4.9446991259464370e+06 4.6444868167470014e+06 4.3817692331129992e+06 4.1530760963721643e+06 3.9545321295452248e+06 3.7821839096645964e+06 3.6323925059041437e+06 3.5019211627489910e+06 3.3881189896141086e+06 3.2886798449931941e+06 3.2018244842692758e+06 3.1259591603950369e+06 3.0599330096379663e+06 3.0026354197531999e+06 2.9531456441697027e+06 2.9107469211677518e+06 2.8746988527246779e+06 2.8442859907430480e+06 2.8189795541382297e+06 2.7981340684915525e+06 2.7812623971863473e+06 2.7678131660312475e+06 2.7573015875849742e+06 2.7490778365963292e+06 2.7425136979592256e+06 2.7371281642538449e+06 2.7324715549139138e+06 2.7281129999323753e+06 2.7250402903737323e+06 2.7219414047312778e+06 2.7187810415759361e+06 2.7154714638126465e+06 2.7120574673933401e+06 2.7084421678285748e+06 2.7047403209282663e+06 2.7006316174732288e+06 2.6962343875882714e+06 2.6914677076686188e+06 2.6862683860083688e+06 2.6805596346284864e+06 2.6742549499416891e+06 2.6672314278824390e+06 2.6594974803179461e+06 2.6507691839085314e+06 2.6409831809354941e+06 2.6299974720880305e+06 2.6176592445285711e+06 2.6038109089737036e+06 2.5882943982312107e+06 2.5709362253804938e+06 2.5517544716267739e+06 2.5304212285611960e+06 2.5070065063801995e+06 2.4815644755611373e+06 2.4542946985926321e+06 2.4255367154352022e+06 2.3959368000594066e+06 2.3664578678530436e+06 2.3386700366508379e+06 2.3145605267167981e+06 2.2972280672250828e+06 2.2909944608543641e+06 2.3021368168102992e+06 2.3397933459170405e+06 2.4178116952669476e+06 2.5581138710021763e+06 2.7976292237423910e+06 3.4016534602111805e+05 +1.4756552184062128e+01 1.3444253674715610e+07 1.3442861642739728e+07 1.3440485099441234e+07 1.3437230871136336e+07 1.3433664210096041e+07 1.3430762940185808e+07 1.3429004371679930e+07 1.3427617799274907e+07 1.3425745500763552e+07 1.3423107769693974e+07 1.3419675962975189e+07 1.3415335941165429e+07 1.3409917496328209e+07 1.3403234881000133e+07 1.3395084619274618e+07 1.3385224395679699e+07 1.3373362938000267e+07 1.3359158087374549e+07 1.3342209991625566e+07 1.3322050642664140e+07 1.3298135065424284e+07 1.3269820417087985e+07 1.3236240953159982e+07 1.3195911002025409e+07 1.3147123429218007e+07 1.3089034092574093e+07 1.3020830779074851e+07 1.2941176674310112e+07 1.2848430979784384e+07 1.2740763420964889e+07 1.2616182465151867e+07 1.2472558220530843e+07 1.2307660215817481e+07 1.2119215614170622e+07 1.1904993501852026e+07 1.1662916706400568e+07 1.1391207454411758e+07 1.1088563846962001e+07 1.0754364930847974e+07 1.0388888851505816e+07 9.9629501082119495e+06 9.5059332062160093e+06 9.0231211087499186e+06 8.5216550742077287e+06 8.0102853376219850e+06 7.4988700638578860e+06 6.9976512765360149e+06 6.5163962033503139e+06 6.0635485612074193e+06 5.6455087902903799e+06 5.2662322498168806e+06 4.9272708322879085e+06 4.6280826690604351e+06 4.3662697994292192e+06 4.1383701045197789e+06 3.9405188464653785e+06 3.7687743279281729e+06 3.6195089840478948e+06 3.4894965704906113e+06 3.3760950162641588e+06 3.2770060378111880e+06 3.1904565233896286e+06 3.1148582978019267e+06 3.0490645328359110e+06 2.9919685436866535e+06 2.9426528468700629e+06 2.9004032175193010e+06 2.8644818905361495e+06 2.8341759561531567e+06 2.8089585027631875e+06 2.7881863468047427e+06 2.7713740608433564e+06 2.7579722129807919e+06 2.7474977117359042e+06 2.7393030119704991e+06 2.7327621076446571e+06 2.7273956687172097e+06 2.7227555900094956e+06 2.7184125226477603e+06 2.7153507366031352e+06 2.7122628691035402e+06 2.7091137433510483e+06 2.7058159338046550e+06 2.7024140769679230e+06 2.6988116341884392e+06 2.6951229462440037e+06 2.6910288525879611e+06 2.6866472584210439e+06 2.6818975278782872e+06 2.6767166939508663e+06 2.6710282416925831e+06 2.6647459751048330e+06 2.6577474285159362e+06 2.6500409770176504e+06 2.6413437164245509e+06 2.6315925101879798e+06 2.6206458639105717e+06 2.6083515081240181e+06 2.5945524138904274e+06 2.5790910760634756e+06 2.5617946259415364e+06 2.5426810738321710e+06 2.5214236865265481e+06 2.4980922213210524e+06 2.4727406560880924e+06 2.4455678437239584e+06 2.4169121168733318e+06 2.3874174515223182e+06 2.3580433404006045e+06 2.3303543123380956e+06 2.3063305300141317e+06 2.2890597006556410e+06 2.2828482608845830e+06 2.2939509977155249e+06 2.3314736293571168e+06 2.4092145647658729e+06 2.5490178627564474e+06 2.7876815541214217e+06 3.3882159967894759e+05 +1.4761520506836387e+01 1.3401836564241460e+07 1.3400448901951239e+07 1.3398079750201199e+07 1.3394835523560917e+07 1.3391279616697788e+07 1.3388386697500410e+07 1.3386632564577436e+07 1.3385248976474350e+07 1.3383380901579570e+07 1.3380749445760131e+07 1.3377325978812704e+07 1.3372996646629684e+07 1.3367591690283300e+07 1.3360925845050009e+07 1.3352796156808918e+07 1.3342960937395094e+07 1.3331129667777220e+07 1.3316961072220547e+07 1.3300056330886358e+07 1.3279948648736333e+07 1.3256094465988042e+07 1.3227852616344340e+07 1.3194359633118898e+07 1.3154133753530260e+07 1.3105472263681022e+07 1.3047533243475363e+07 1.2979506746032134e+07 1.2900059615145624e+07 1.2807555546003951e+07 1.2700169335209165e+07 1.2575915055552253e+07 1.2432668928882664e+07 1.2268207046114206e+07 1.2080263472550334e+07 1.1866614361358099e+07 1.1625189522329833e+07 1.1354217729950955e+07 1.1052402746797336e+07 1.0719127829334112e+07 1.0354673228642642e+07 9.9299397987378761e+06 9.4742344039331358e+06 8.9928289855221733e+06 8.4928477521637529e+06 7.9830179921843689e+06 7.4731699450451620e+06 6.9735144932240965e+06 6.4937869807179375e+06 6.0424013111774540e+06 5.6257329619891103e+06 5.2477191956449952e+06 4.9099013016263740e+06 4.6117339961037282e+06 4.3508228977244347e+06 4.1237140366973821e+06 3.9265531921621156e+06 3.7554103627789044e+06 3.6066693181609777e+06 3.4771142941226074e+06 3.3641120122350184e+06 3.2653720219104746e+06 3.1791273244720832e+06 3.1037952981703714e+06 3.0382331369299232e+06 2.9813380701816152e+06 2.9321958665155428e+06 2.8900948293536450e+06 2.8542998175833621e+06 2.8241004511521300e+06 2.7989716816113861e+06 2.7782726084696339e+06 2.7615195077595785e+06 2.7481648833144163e+06 2.7377273339660098e+06 2.7295615870406460e+06 2.7230438381241225e+06 2.7176964289827454e+06 2.7130728245459958e+06 2.7087451919297194e+06 2.7056942920827474e+06 2.7026174050814221e+06 2.6994794783336748e+06 2.6961933967942344e+06 2.6928036380563453e+06 2.6892140081230635e+06 2.6855384341877829e+06 2.6814589004080007e+06 2.6770928885294483e+06 2.6723600494478005e+06 2.6671976400782950e+06 2.6615294175792406e+06 2.6552694924844755e+06 2.6482958360168599e+06 2.6406167866499228e+06 2.6319504558202252e+06 2.6222339274182115e+06 2.6113262102347352e+06 2.5990755763091915e+06 2.5853255551376953e+06 2.5699192017027922e+06 2.5526842633940489e+06 2.5336386799009205e+06 2.5124568891529720e+06 2.4892083964349385e+06 2.4639469876654935e+06 2.4368708085759436e+06 2.4083169886204526e+06 2.3789272136543882e+06 2.3496575654397546e+06 2.3220670029177801e+06 2.2981286552701266e+06 2.2809192454548818e+06 2.2747298965318273e+06 2.2857931496173707e+06 2.3231823413245482e+06 2.4006468107167296e+06 2.5399529356221678e+06 2.7777678757670727e+06 3.3748304673773481e+05 +1.4766488829610646e+01 1.3359544336138574e+07 1.3358161104960430e+07 1.3355799300593324e+07 1.3352565038980417e+07 1.3349019857897280e+07 1.3346135267238962e+07 1.3344385560707096e+07 1.3343004952970643e+07 1.3341141094940612e+07 1.3338515902889833e+07 1.3335100759583203e+07 1.3330782095746109e+07 1.3325390600452380e+07 1.3318741490596149e+07 1.3310632332744623e+07 1.3300822064649167e+07 1.3289020918818694e+07 1.3274888500720084e+07 1.3258027020614590e+07 1.3237970893842578e+07 1.3214177972782344e+07 1.3186008763947133e+07 1.3152602073348479e+07 1.3112480038225217e+07 1.3063944355616944e+07 1.3006155322541760e+07 1.2938305252775418e+07 1.2859064639635123e+07 1.2766801661307057e+07 1.2659696173386421e+07 1.2535767840362059e+07 1.2392898982406171e+07 1.2228872235591672e+07 1.2041428548837470e+07 1.1828351122316400e+07 1.1587576727192562e+07 1.1317340664643258e+07 1.1016352338012526e+07 1.0683999194567110e+07 1.0320563575480608e+07 9.8970324609809443e+06 9.4426352469345853e+06 8.9626328639745358e+06 8.4641324991664756e+06 7.9558385410067318e+06 7.4475533691991381e+06 6.9494568067747485e+06 6.4712524062639801e+06 6.0213243528948529e+06 5.6060232493743487e+06 5.2292683344394499e+06 4.8925903476621155e+06 4.5954406212031245e+06 4.3354283601219486e+06 4.1091077329410859e+06 3.9126350137274670e+06 3.7420918675562995e+06 3.5938733670877870e+06 3.4647741973222923e+06 3.3521698454429866e+06 3.2537776689243093e+06 3.1678367624035492e+06 3.0927700392258079e+06 3.0274387021195036e+06 2.9707438815819733e+06 2.9217745872948780e+06 2.8798216424517357e+06 2.8441525209972886e+06 2.8140593640057486e+06 2.7890189798977878e+06 2.7683927434825967e+06 2.7516986285580192e+06 2.7383910681706071e+06 2.7279903458140208e+06 2.7198534536522506e+06 2.7133587815017630e+06 2.7080303373622736e+06 2.7034231510186447e+06 2.6991109004444797e+06 2.6960708496029195e+06 2.6930049055750701e+06 2.6898781395578962e+06 2.6866037459405465e+06 2.6832260439536003e+06 2.6796491830717311e+06 2.6759866783429561e+06 2.6719216546774507e+06 2.6675711718318630e+06 2.6628551664824542e+06 2.6577111187024210e+06 2.6520630568226385e+06 2.6458253968660142e+06 2.6388765454476974e+06 2.6312248045797823e+06 2.6225892978068329e+06 2.6129073287211703e+06 2.6020384075863748e+06 2.5898313460968290e+06 2.5761302302740980e+06 2.5607786733135590e+06 2.5436050365876746e+06 2.5246271894383742e+06 2.5035207368867253e+06 2.4803549330857624e+06 2.4551833726573326e+06 2.4282034965857309e+06 2.3997512352475487e+06 2.3704659921904164e+06 2.3413004498586464e+06 2.3138080163754458e+06 2.2899548114208118e+06 2.2728066112379637e+06 2.2666392776600728e+06 2.2776631819384508e+06 2.3149193897588253e+06 2.3921083379918607e+06 2.5309189889562381e+06 2.7678880786121236e+06 3.3614966766587039e+05 +1.4771457152384905e+01 1.3317376894056529e+07 1.3315997874370208e+07 1.3313643411215840e+07 1.3310419086121939e+07 1.3306884602664400e+07 1.3304008318391269e+07 1.3302263029091705e+07 1.3300885397765510e+07 1.3299025749843588e+07 1.3296406810085997e+07 1.3292999974335577e+07 1.3288691957581038e+07 1.3283313895888491e+07 1.3276681486748777e+07 1.3268592816255949e+07 1.3258807446686503e+07 1.3247036360466113e+07 1.3232940042327078e+07 1.3216121730381154e+07 1.3196117047704918e+07 1.3172385255711837e+07 1.3144288530042918e+07 1.3110967944257597e+07 1.3070949526845763e+07 1.3022539376157062e+07 1.2964900001418909e+07 1.2897225971533958e+07 1.2818191420673076e+07 1.2726168999424467e+07 1.2619343610166423e+07 1.2495740495390516e+07 1.2353248058213595e+07 1.2189655462932069e+07 1.2002710523554269e+07 1.1790203467410471e+07 1.1550078006222559e+07 1.1280575946685517e+07 1.0980412312276926e+07 1.0648978722215239e+07 1.0286559592349924e+07 9.8642278010442480e+06 9.4111354479420558e+06 8.9325324643832818e+06 8.4355090439571440e+06 7.9287467222014843e+06 7.4220200845786594e+06 6.9254779762491928e+06 6.4487922502586022e+06 6.0003174680272993e+06 5.5863794453974115e+06 5.2108794700850360e+06 4.8753377846370162e+06 4.5792023682112442e+06 4.3200860192404808e+06 4.0945510337706204e+06 3.8987641587072075e+06 3.7288186960311914e+06 3.5811209900889816e+06 3.4524761441693795e+06 3.3402683841915322e+06 3.2422228508689990e+06 3.1565847124393792e+06 3.0817823990584468e+06 3.0166811089557218e+06 2.9601858605805957e+06 2.9113888937497716e+06 2.8695835429330287e+06 2.8340398882394107e+06 2.8040525833071359e+06 2.7791002871617586e+06 2.7585466421652823e+06 2.7419113141959887e+06 2.7286506590090212e+06 2.7182866391366608e+06 2.7101785039825728e+06 2.7037068302017939e+06 2.6983972864883626e+06 2.6938064622430541e+06 2.6895095411796146e+06 2.6864803022667295e+06 2.6834252638117694e+06 2.6803096203745203e+06 2.6770468747275742e+06 2.6736811882784846e+06 2.6701170527898883e+06 2.6664675726122209e+06 2.6624170094617372e+06 2.6580820025667199e+06 2.6533827734050001e+06 2.6482570244463333e+06 2.6426290542748873e+06 2.6364135833460516e+06 2.6294894521802845e+06 2.6218649264816376e+06 2.6132601384001817e+06 2.6036126105023357e+06 2.5927823528009844e+06 2.5806187148034316e+06 2.5669663371584318e+06 2.5516693893664149e+06 2.5345568446734892e+06 2.5156465023445445e+06 2.4946151304643014e+06 2.4715317329330202e+06 2.4464497137234113e+06 2.4195658114830414e+06 2.3912147616079198e+06 2.3620336931435647e+06 2.3329719008321613e+06 2.3055772609746251e+06 2.2818089076757273e+06 2.2647217078949818e+06 2.2585763144016275e+06 2.2695610043749781e+06 2.3066846828801106e+06 2.3835990517512113e+06 2.5219159224125594e+06 2.7580420529122464e+06 3.3482144300265244e+05 +1.4776425475159163e+01 1.3275333602578159e+07 1.3273958865932750e+07 1.3271611747330280e+07 1.3268397334924558e+07 1.3264873520702688e+07 1.3262005520695264e+07 1.3260264639445592e+07 1.3258889980566759e+07 1.3257034536011919e+07 1.3254421837093659e+07 1.3251023292785062e+07 1.3246725901857404e+07 1.3241361246398134e+07 1.3234745503358087e+07 1.3226677277231114e+07 1.3216916753464807e+07 1.3205175662759701e+07 1.3191115367196117e+07 1.3174340130475558e+07 1.3154386780759456e+07 1.3130715985434201e+07 1.3102691585490119e+07 1.3069456916983204e+07 1.3029541890878275e+07 1.2981256997196725e+07 1.2923766952492138e+07 1.2856268575248051e+07 1.2777439631884510e+07 1.2685657234776964e+07 1.2579111320932874e+07 1.2455832697142353e+07 1.2313715834169291e+07 1.2150556407566961e+07 1.1964109077970110e+07 1.1752171080069203e+07 1.1512693045387443e+07 1.1243923265003387e+07 1.0944582361979472e+07 1.0614066108695051e+07 1.0252660980297061e+07 9.8315255257374663e+06 9.3797347204044443e+06 8.9025275077344216e+06 8.4069771159937773e+06 7.9017422745577917e+06 7.3965698401176790e+06 6.9015777613570783e+06 6.4264062836146122e+06 5.9793804388464699e+06 5.5668013435966112e+06 5.1925524070258196e+06 4.8581434273196878e+06 4.5630190614828235e+06 4.3047957081834283e+06 4.0800437801585761e+06 3.8849404751063376e+06 3.7155907024159613e+06 3.5684120468403976e+06 3.4402199991488727e+06 3.3284074971881397e+06 3.2307074401374459e+06 3.1453710502060265e+06 3.0708322561193374e+06 3.0059602383545726e+06 2.9496638902185727e+06 2.9010386707630022e+06 2.8593804172586910e+06 2.8239618071093885e+06 2.7940799979937146e+06 2.7692154932768545e+06 2.7487341951690153e+06 2.7321574559537512e+06 2.7189435476173782e+06 2.7086161061184322e+06 2.7005366305278493e+06 2.6940878769745794e+06 2.6887971693196935e+06 2.6842226513556880e+06 2.6799410074387607e+06 2.6769225435041594e+06 2.6738783733378411e+06 2.6707738144568196e+06 2.6675226769568780e+06 2.6641689649637970e+06 2.6606175113566262e+06 2.6569810112183285e+06 2.6529448591426439e+06 2.6486252752869767e+06 2.6439427649567099e+06 2.6388352522588428e+06 2.6332273051006719e+06 2.6270339473407874e+06 2.6201344519060925e+06 2.6125370483480692e+06 2.6039628739355551e+06 2.5943496694733081e+06 2.5835579430189221e+06 2.5714375800564992e+06 2.5578337739608171e+06 2.5425912486350825e+06 2.5255395871047522e+06 2.5066965188259180e+06 2.4857399709289912e+06 2.4627386979296925e+06 2.4377459138115095e+06 2.4109576572801694e+06 2.3827074728430966e+06 2.3536302228151197e+06 2.3246718258116916e+06 2.2973746452529687e+06 2.2736908535122550e+06 2.2566644455831340e+06 2.2505409171576854e+06 2.2614865268920092e+06 2.2984781291785226e+06 2.3751188574345969e+06 2.5129436359440745e+06 2.7482296892585102e+06 3.3349835335804278e+05 +1.4781393797933422e+01 1.3233414292830523e+07 1.3232043792186240e+07 1.3229703980852073e+07 1.3226499456242755e+07 1.3222986282449467e+07 1.3220126544610275e+07 1.3218390062257359e+07 1.3217018371833188e+07 1.3215167123895802e+07 1.3212560654345892e+07 1.3209170385419039e+07 1.3204883599113228e+07 1.3199532322507026e+07 1.3192933210982712e+07 1.3184885386293216e+07 1.3175149655677857e+07 1.3163438496487783e+07 1.3149414146208858e+07 1.3132681891913032e+07 1.3112779764197078e+07 1.3089169833299266e+07 1.3061217601887401e+07 1.3028068663404845e+07 1.2988256802514836e+07 1.2940096891340530e+07 1.2882755848839207e+07 1.2815432737594962e+07 1.2736808947633214e+07 1.2645266042535873e+07 1.2538998981824396e+07 1.2416044122884499e+07 1.2274301988843272e+07 1.2111574749636834e+07 1.1925623894076219e+07 1.1714253644446310e+07 1.1475421531373477e+07 1.1207382309255548e+07 1.0908862180231072e+07 1.0579261051138248e+07 1.0218867441110928e+07 9.7989253425968010e+06 9.3484327784806751e+06 8.8726177157214582e+06 8.3785364454143019e+06 7.8748249375620419e+06 7.3712023854292836e+06 6.8777559224548433e+06 6.4040942778696334e+06 5.9585130482282946e+06 5.5472887380882399e+06 5.1742869502642015e+06 4.8410070910202553e+06 4.5468905258914307e+06 4.2895572605443923e+06 4.0655858135587079e+06 3.8711638113678098e+06 3.7024077413452710e+06 3.5557463974361736e+06 3.4280056271480038e+06 3.3165870535193887e+06 3.2192313095079125e+06 3.1341956517067254e+06 3.0599194892273983e+06 2.9952759715780667e+06 2.9391778538892427e+06 2.8907238035646747e+06 2.8492121522278087e+06 2.8139181657428113e+06 2.7841414973250367e+06 2.7593644884454166e+06 2.7389552934699496e+06 2.7224369454399003e+06 2.7092696261050538e+06 2.6989786392655433e+06 2.6909277261049324e+06 2.6845018148874068e+06 2.6792298791330522e+06 2.6746716118129366e+06 2.6704051928529311e+06 2.6673974670608146e+06 2.6643641280236673e+06 2.6612706157951285e+06 2.6580310467457613e+06 2.6546892682643160e+06 2.6511504531643381e+06 2.6475268886970491e+06 2.6435050984174227e+06 2.6392008848611475e+06 2.6345350361916749e+06 2.6294456973957452e+06 2.6238577047836464e+06 2.6176863845749414e+06 2.6108114406213956e+06 2.6032410664798510e+06 2.5946974010533346e+06 2.5851184026576830e+06 2.5743650756959911e+06 2.5622878397914744e+06 2.5487324391549374e+06 2.5335441501985183e+06 2.5165531636376567e+06 2.4977771393844569e+06 2.4768951596132996e+06 2.4539757303233836e+06 2.4290718761603194e+06 2.4023789382828041e+06 2.3742292743779798e+06 2.3452554877812797e+06 2.3164001325242282e+06 2.2892000780228530e+06 2.2656005586854871e+06 2.2486347347288765e+06 2.2425329966002530e+06 2.2534396597251873e+06 2.2902996374274050e+06 2.3666676607698700e+06 2.5040020298083220e+06 2.7384508785658414e+06 3.3218037941242172e+05 +1.4786362120707681e+01 1.3191618474089775e+07 1.3190252305021280e+07 1.3187919784161504e+07 1.3184725121617200e+07 1.3181222559057608e+07 1.3178371061336415e+07 1.3176638968688136e+07 1.3175270242745893e+07 1.3173423184660722e+07 1.3170822933041444e+07 1.3167440923401764e+07 1.3163164720527386e+07 1.3157826795465320e+07 1.3151244280903740e+07 1.3143216814786321e+07 1.3133505824741524e+07 1.3121824533142127e+07 1.3107836050981713e+07 1.3091146686435686e+07 1.3071295669917908e+07 1.3047746471387401e+07 1.3019866251551954e+07 1.2986802856099080e+07 1.2947093934682438e+07 1.2899058731925962e+07 1.2841866364277387e+07 1.2774718132963099e+07 1.2696299043002576e+07 1.2604995098602202e+07 1.2499006269682569e+07 1.2376374450594032e+07 1.2235006201561088e+07 1.2072710170015104e+07 1.1887254654576955e+07 1.1676450845428942e+07 1.1438263151589874e+07 1.1170952769827072e+07 1.0873251460887812e+07 1.0544563247398658e+07 1.0185178677273866e+07 9.7664269598791189e+06 9.3172293370401058e+06 8.8428028107359633e+06 8.3501867630616603e+06 7.8479944513769578e+06 7.3459174707840439e+06 6.8540122205579048e+06 6.3818560051910859e+06 5.9377150796662662e+06 5.5278414235794470e+06 5.1560829053606940e+06 4.8239285915809721e+06 4.5308165868133716e+06 4.2743705104079284e+06 4.0511769758862103e+06 3.8574340163839827e+06 3.6892696678938842e+06 3.5431239023840795e+06 3.4158328934541889e+06 3.3048069226677236e+06 3.2077943321359167e+06 3.1230583933057156e+06 3.0490439775545439e+06 2.9846281902495953e+06 2.9287276353362333e+06 2.8804441777250590e+06 2.8390786349788830e+06 2.8039088526135539e+06 2.7742369708973579e+06 2.7495471631984455e+06 2.7292098283732855e+06 2.7127496745832590e+06 2.6996287869092585e+06 2.6893741314095776e+06 2.6813516838533827e+06 2.6749485373306340e+06 2.6696953095244849e+06 2.6651532373928213e+06 2.6609019913641289e+06 2.6579049670000412e+06 2.6548824220528319e+06 2.6517999186961143e+06 2.6485718785325452e+06 2.6452419927464994e+06 2.6417157729231250e+06 2.6381050999036529e+06 2.6340976223003003e+06 2.6298087264729147e+06 2.6251594824805725e+06 2.6200882554299464e+06 2.6145201491152062e+06 2.6083707910857219e+06 2.6015203146416694e+06 2.5939768774907137e+06 2.5854636167057743e+06 2.5759187073890110e+06 2.5652036485909484e+06 2.5531693922440349e+06 2.5396622315169685e+06 2.5245279934394574e+06 2.5075974743286683e+06 2.4888882648208356e+06 2.4680805981468619e+06 2.4452427326561385e+06 2.4204275042994618e+06 2.3938295590794785e+06 2.3657800719173183e+06 2.3369093949013432e+06 2.3081567289746520e+06 2.2810534683672432e+06 2.2575379332136251e+06 2.2406324860293847e+06 2.2345524636644176e+06 2.2454203133817292e+06 2.2821491166627984e+06 2.3582453677627579e+06 2.4950910045570047e+06 2.7287055120756575e+06 3.3086750191634259e+05 +1.4791330443481939e+01 1.3149946011931367e+07 1.3148584078012245e+07 1.3146258829224249e+07 1.3143074003019881e+07 1.3139582022403374e+07 1.3136738742787702e+07 1.3135011030668423e+07 1.3133645265196919e+07 1.3131802390199028e+07 1.3129208345073752e+07 1.3125834578687100e+07 1.3121568938058842e+07 1.3116244337218752e+07 1.3109678385146698e+07 1.3101671234770909e+07 1.3091984932785932e+07 1.3080333444951510e+07 1.3066380753839325e+07 1.3049734186517481e+07 1.3029934170546839e+07 1.3006445572541028e+07 1.2978637207523182e+07 1.2945659168393899e+07 1.2906052961024569e+07 1.2858142193001591e+07 1.2801098173349947e+07 1.2734124436487533e+07 1.2655909593811588e+07 1.2564844079592772e+07 1.2459132862086959e+07 1.2336823358976226e+07 1.2195828152340561e+07 1.2033962350310024e+07 1.1849001042933842e+07 1.1638762368618317e+07 1.1401217594190555e+07 1.1134634337827934e+07 1.0837749898492783e+07 1.0509972396066645e+07 1.0151594392018043e+07 9.7340300865561608e+06 9.2861241116695050e+06 8.8130825158923883e+06 8.3219278004735056e+06 7.8212505568489674e+06 7.3207148471207405e+06 6.8303464173273351e+06 6.3596912383720102e+06 5.9169863172487048e+06 5.5084591953584440e+06 5.1379400784361362e+06 4.8069077453796072e+06 4.5147970701387962e+06 4.2592352923395708e+06 4.0368171095182821e+06 3.8437509394987100e+06 3.6761763375565414e+06 3.5305444226082647e+06 3.4037016637565731e+06 3.2930669744990584e+06 3.1963963815478832e+06 3.1119591517416304e+06 3.0382056006459580e+06 2.9740167763456013e+06 2.9183131186465169e+06 2.8701996791587793e+06 2.8289797529899799e+06 2.7939337565230122e+06 2.7643663086364553e+06 2.7397634083957900e+06 2.7194976915089162e+06 2.7030955356427170e+06 2.6900209227847904e+06 2.6798024756975686e+06 2.6718083972344762e+06 2.6654279380145054e+06 2.6601933544086409e+06 2.6556674221898965e+06 2.6514312972380244e+06 2.6484449377053096e+06 2.6454331499265730e+06 2.6423616177849486e+06 2.6391450670703105e+06 2.6358270332975304e+06 2.6323133656580620e+06 2.6287155400064341e+06 2.6247223261183603e+06 2.6204486956246137e+06 2.6158159995072931e+06 2.6107628222444206e+06 2.6052145342042712e+06 2.5990870632271883e+06 2.5922609705880578e+06 2.5847443783024796e+06 2.5762614181541950e+06 2.5667504813098777e+06 2.5560735597677375e+06 2.5440821359604020e+06 2.5306230501285354e+06 2.5155426780365328e+06 2.4986724195320015e+06 2.4800297962360284e+06 2.4592961884559076e+06 2.4365396077604941e+06 2.4118127020501513e+06 2.3853094245455377e+06 2.3573597714546723e+06 2.3285918513118955e+06 2.2999415234425110e+06 2.2729347256440218e+06 2.2495028873908170e+06 2.2326576104472708e+06 2.2265992295584241e+06 2.2374283986338503e+06 2.2740264762003287e+06 2.3498518847068353e+06 2.4862104610439809e+06 2.7189934813568653e+06 3.2955970169029175e+05 +1.4796298766256198e+01 1.3108396526677463e+07 1.3107038798922781e+07 1.3104720789112579e+07 1.3101545772991942e+07 1.3098064345035231e+07 1.3095229261596557e+07 1.3093505920808701e+07 1.3092143111804999e+07 1.3090304413133401e+07 1.3087716563049687e+07 1.3084351023886595e+07 1.3080095924347643e+07 1.3074784620481912e+07 1.3068235196438907e+07 1.3060248319051145e+07 1.3050586652685015e+07 1.3038964904866772e+07 1.3025047927847179e+07 1.3008444065324554e+07 1.2988694939411109e+07 1.2965266810284378e+07 1.2937530143580841e+07 1.2904637274335707e+07 1.2865133555930201e+07 1.2817346949351193e+07 1.2760450951348180e+07 1.2693651324011115e+07 1.2615640276584618e+07 1.2524812662859585e+07 1.2419378437350910e+07 1.2297390527453780e+07 1.2156767521955812e+07 1.1995330972846450e+07 1.1810862743305232e+07 1.1601187900354231e+07 1.1364284548056206e+07 1.1098426705096932e+07 1.0802357188364249e+07 1.0475488196444999e+07 1.0118114289286317e+07 9.7017344323171340e+06 9.2551168186710738e+06 8.7834565549853314e+06 8.2937592898789039e+06 7.7945929955069572e+06 7.2955942660487220e+06 6.8067582750736158e+06 6.3375997508339416e+06 5.8963265456809113e+06 5.4891418492870387e+06 5.1198582761653634e+06 4.7899443693181612e+06 4.4988318022673661e+06 4.2441514413912389e+06 4.0225060573026920e+06 3.8301144304956309e+06 3.6631276062615672e+06 3.5180078194441502e+06 3.3916118041434484e+06 3.2813670792701375e+06 3.1850373316612588e+06 3.1008978041198635e+06 3.0274042383934460e+06 2.9634416121911108e+06 2.9079341882552640e+06 2.8599901941195969e+06 2.8189153940708940e+06 2.7839927666099439e+06 2.7545294007993396e+06 2.7300131152254124e+06 2.7098187748336126e+06 2.6934744211962083e+06 2.6804459268108536e+06 2.6702635656027510e+06 2.6622977600275646e+06 2.6559399109686436e+06 2.6507239080212768e+06 2.6462140606161668e+06 2.6419930050538434e+06 2.6390172738745604e+06 2.6360162064666068e+06 2.6329556080053374e+06 2.6297505074291197e+06 2.6264442851176518e+06 2.6229431267112941e+06 2.6193581044882694e+06 2.6153791055159043e+06 2.6111206881259936e+06 2.6065044832679932e+06 2.6014692940402008e+06 2.5959407564662672e+06 2.5898350976600642e+06 2.5830333053961061e+06 2.5755434661469250e+06 2.5670907029667734e+06 2.5576136223619045e+06 2.5469747075993079e+06 2.5350259697885755e+06 2.5216147943717367e+06 2.5065881039758041e+06 2.4897778998987558e+06 2.4712016350223622e+06 2.4505418327590986e+06 2.4278662587593906e+06 2.4032273735177857e+06 2.3768184398444076e+06 2.3489682792616393e+06 2.3203027644314324e+06 2.2917544244841170e+06 2.2648437594818166e+06 2.2414953317777202e+06 2.2247100192138464e+06 2.2186732057513068e+06 2.2294638265224774e+06 2.2659316256272309e+06 2.3414871181675890e+06 2.4773603004176067e+06 2.7093146783038471e+06 3.2825695962444431e+05 +1.4801267089030457e+01 1.3066969652873851e+07 1.3065616156376556e+07 1.3063305337820347e+07 1.3060140104884628e+07 1.3056669200182231e+07 1.3053842291124528e+07 1.3052123312471522e+07 1.3050763455891764e+07 1.3048928926798435e+07 1.3046347260335542e+07 1.3042989932355195e+07 1.3038745352795981e+07 1.3033447318649305e+07 1.3026914388240559e+07 1.3018947741132820e+07 1.3009310658013087e+07 1.2997718586561114e+07 1.2983837246780045e+07 1.2967275996783575e+07 1.2947577650599521e+07 1.2924209858870083e+07 1.2896544734198812e+07 1.2863736848665887e+07 1.2824335394487413e+07 1.2776672676482681e+07 1.2719924374242865e+07 1.2653298472111011e+07 1.2575490768579893e+07 1.2484900526464144e+07 1.2379742674487865e+07 1.2258075636197528e+07 1.2117823991896354e+07 1.1956815720691711e+07 1.1772839440615036e+07 1.1563727127698695e+07 1.1327463702773724e+07 1.1062329564200358e+07 1.0767073026506763e+07 1.0441110348560477e+07 1.0084738073738297e+07 9.6695397075688001e+06 9.2242071750328578e+06 8.7539246525245737e+06 8.2656809641989861e+06 7.7680215095625771e+06 7.2705554798420947e+06 6.7832475567481741e+06 6.3155813166402178e+06 5.8757355502595874e+06 5.4698891818191744e+06 5.1018373057799060e+06 4.7730382808371708e+06 4.4829206100986563e+06 4.2291187931031147e+06 4.0082436625433918e+06 3.8165243396067927e+06 3.6501233303618920e+06 3.5055139546374902e+06 3.3795631811012416e+06 3.2697071076282919e+06 3.1737170567548596e+06 3.0898742279112539e+06 3.0166397710569240e+06 2.9529025804670691e+06 2.8975907289434210e+06 2.8498156092050239e+06 2.8088854463731186e+06 2.7740857723442200e+06 2.7447261379687581e+06 2.7202961751993527e+06 2.7001729706269880e+06 2.6838862241461002e+06 2.6709036923862295e+06 2.6607572949142065e+06 2.6528196663314435e+06 2.6464843505345867e+06 2.6412868649119623e+06 2.6367930474030734e+06 2.6325870097089973e+06 2.6296218705259385e+06 2.6266314868070800e+06 2.6235817846099199e+06 2.6203880949914404e+06 2.6170936437247037e+06 2.6136049517366257e+06 2.6100326891481411e+06 2.6060678564458913e+06 2.6018246001021895e+06 2.5972248300696667e+06 2.5922075673229811e+06 2.5866987126307469e+06 2.5806147913561226e+06 2.5738372163063157e+06 2.5663740385650657e+06 2.5579513690206585e+06 2.5485080288033271e+06 2.5379069907635860e+06 2.5260007928802450e+06 2.5126373639346845e+06 2.4976641715404722e+06 2.4809138163861046e+06 2.4624036828717943e+06 2.4418174335713037e+06 2.4192225890692794e+06 2.3946714230986680e+06 2.3683565104186158e+06 2.3406055018926491e+06 2.3120420419527721e+06 2.2835953409310174e+06 2.2567804797813138e+06 2.2335151772018438e+06 2.2167896238263939e+06 2.2107743039826388e+06 2.2215265083551258e+06 2.2578644747986002e+06 2.3331509750018925e+06 2.4685404241246944e+06 2.6996689951354768e+06 3.2695925667842285e+05 +1.4806235411804716e+01 1.3025665086952247e+07 1.3024315782317154e+07 1.3022012150184363e+07 1.3018856673031271e+07 1.3015396261747258e+07 1.3012577505445290e+07 1.3010862879724592e+07 1.3009505971533034e+07 1.3007675605252791e+07 1.3005100110976541e+07 1.3001750978182551e+07 1.2997516897491399e+07 1.2992232105880449e+07 1.2985715634721220e+07 1.2977769175230419e+07 1.2968156623074327e+07 1.2956594164421637e+07 1.2942748385126734e+07 1.2926229655522419e+07 1.2906581978901267e+07 1.2883274393281523e+07 1.2855680654577572e+07 1.2822957566881334e+07 1.2783658152506093e+07 1.2736119050607763e+07 1.2679518118749596e+07 1.2613065558079503e+07 1.2535460747779876e+07 1.2445107349198960e+07 1.2340225253247350e+07 1.2218878366071364e+07 1.2078997244359855e+07 1.1918416277612804e+07 1.1734930820460426e+07 1.1526379738434469e+07 1.1290754748658203e+07 1.1026342608405394e+07 1.0731897109661683e+07 1.0406838553160150e+07 1.0051465450744333e+07 9.6374456234191880e+06 9.1933948984888736e+06 8.7244865337311495e+06 8.2376925570443356e+06 7.7415358419030560e+06 7.2455982414228097e+06 6.7598140259520095e+06 6.2936357104467424e+06 5.8552131168873403e+06 5.4507009899716685e+06 5.0838769750640085e+06 4.7561892978982078e+06 4.4670633210378001e+06 4.2141371834930321e+06 3.9940297690121541e+06 3.8029805175063075e+06 3.6371633666382413e+06 3.4930626903465046e+06 3.3675556615148857e+06 3.2580869305965230e+06 3.1624354314964437e+06 3.0788883009577035e+06 3.0059120792483874e+06 2.9423995642044707e+06 2.8872826258389479e+06 2.8396758113483782e+06 2.7988897983833370e+06 2.7642126635284470e+06 2.7349564110599984e+06 2.7106124801572179e+06 2.6905601714895302e+06 2.6743308377158511e+06 2.6613941132286591e+06 2.6512835577403056e+06 2.6433740105620525e+06 2.6370611513825045e+06 2.6318821199509739e+06 2.6274042775954832e+06 2.6232132064154479e+06 2.6202586229876922e+06 2.6172788863953627e+06 2.6142400431720773e+06 2.6110577254558378e+06 2.6077750049439776e+06 2.6042987367032729e+06 2.6007391900956943e+06 2.5967884751789896e+06 2.5925603279894646e+06 2.5879769365342376e+06 2.5829775389138642e+06 2.5774882997372895e+06 2.5714260415955456e+06 2.5646726008694335e+06 2.5572359934040098e+06 2.5488433145009195e+06 2.5394335991914193e+06 2.5288703082411415e+06 2.5170065046919668e+06 2.5036906588032120e+06 2.4887707813116442e+06 2.4720800702403579e+06 2.4536358417713554e+06 2.4331228936961005e+06 2.4106085023944047e+06 2.3861447554744687e+06 2.3599235420010043e+06 2.3322713461808632e+06 2.3038095918475916e+06 2.2754641818828015e+06 2.2487447967153825e+06 2.2255623347620023e+06 2.2088963360461835e+06 2.2029024362547542e+06 2.2136163557068398e+06 2.2498249338439126e+06 2.3248433623382598e+06 2.4597507339070700e+06 2.6900563243942768e+06 3.2566657388105779e+05 +1.4811203734578974e+01 1.2984482496432101e+07 1.2983137359032646e+07 1.2980840901068931e+07 1.2977695152618427e+07 1.2974245204293588e+07 1.2971434579357112e+07 1.2969724297370251e+07 1.2968370333513791e+07 1.2966544123272872e+07 1.2963974789774161e+07 1.2960633836164512e+07 1.2956410233258197e+07 1.2951138657002363e+07 1.2944638610780494e+07 1.2936712296324760e+07 1.2927124222888207e+07 1.2915591313563792e+07 1.2901781018126020e+07 1.2885304716882244e+07 1.2865707599808773e+07 1.2842460089214735e+07 1.2814937580671368e+07 1.2782299105185717e+07 1.2743101506532015e+07 1.2695685748685950e+07 1.2639231862312136e+07 1.2572952259925796e+07 1.2495549892894130e+07 1.2405432810577558e+07 1.2300825854105564e+07 1.2179798398697603e+07 1.2040286962295979e+07 1.1880132328109523e+07 1.1697136569195423e+07 1.1489145421081070e+07 1.1254157376763506e+07 1.0990465531747270e+07 1.0696829135290397e+07 1.0372672511711206e+07 1.0018296126406299e+07 9.6054518917169366e+06 9.1626797074527871e+06 8.6951419245005976e+06 8.2097938027180107e+06 7.7151357360813748e+06 7.2207223043969478e+06 6.7364574469338469e+06 6.2717627075592559e+06 5.8347590320739765e+06 5.4315770713478411e+06 5.0659770923445318e+06 4.7393972389969546e+06 4.4512597630001502e+06 4.1992064490609569e+06 3.9798642209416246e+06 3.7894828153020074e+06 3.6242475722941058e+06 3.4806538891416620e+06 3.3555891126651014e+06 3.2465064195892662e+06 3.1511923309148364e+06 3.0679399014561553e+06 2.9952210439423244e+06 2.9319324467830095e+06 2.8770097644126257e+06 2.8295706878249450e+06 2.7889283389166240e+06 2.7543733302933513e+06 2.7252201113084806e+06 2.7009619222608595e+06 2.6809802703464092e+06 2.6648081554465932e+06 2.6519170833792882e+06 2.6418422485096175e+06 2.6339606874527149e+06 2.6276702084890171e+06 2.6225095683214753e+06 2.6180476465527224e+06 2.6138714907033485e+06 2.6109274269053312e+06 2.6079583009973564e+06 2.6049302795763602e+06 2.6017592948350240e+06 2.5984882649205527e+06 2.5950243778902763e+06 2.5914775037526409e+06 2.5875408582921280e+06 2.5833277685373849e+06 2.5787606995933075e+06 2.5737791059421771e+06 2.5683094151353305e+06 2.5622687459691530e+06 2.5555393569444441e+06 2.5481292288188459e+06 2.5397664378935797e+06 2.5303902323900908e+06 2.5198645593152759e+06 2.5080430049796691e+06 2.4947745792651610e+06 2.4799078341729469e+06 2.4632765630099005e+06 2.4448980140017867e+06 2.4244581162311523e+06 2.4020239027289818e+06 2.3776472756132488e+06 2.3515194406044525e+06 2.3239657192400801e+06 2.2956053223633687e+06 2.2673608567219442e+06 2.2407366207208992e+06 2.2176367158214166e+06 2.2010300679006446e+06 2.1950575148304403e+06 2.2057332804164169e+06 2.2418129131592833e+06 2.3165641875870279e+06 2.4509911318025473e+06 2.6804765589426621e+06 3.2437889233014674e+05 +1.4816172057353233e+01 1.2943421512664312e+07 1.2942080566708233e+07 1.2939791264042815e+07 1.2936655219277900e+07 1.2933215703096857e+07 1.2930413188378250e+07 1.2928707240892012e+07 1.2927356217302194e+07 1.2925534156356454e+07 1.2922970972208494e+07 1.2919638181815000e+07 1.2915425035636069e+07 1.2910166647598149e+07 1.2903682992032267e+07 1.2895776780065980e+07 1.2886213133198367e+07 1.2874709709791459e+07 1.2860934821702762e+07 1.2844500856955620e+07 1.2824954189566758e+07 1.2801766623105865e+07 1.2774315189112373e+07 1.2741761140493073e+07 1.2702665133824456e+07 1.2655372448384101e+07 1.2599065283086350e+07 1.2532958256395195e+07 1.2455757883323325e+07 1.2365876590838645e+07 1.2261544158258360e+07 1.2140835416384280e+07 1.2001692829359688e+07 1.1841963557418849e+07 1.1659456373882242e+07 1.1452023864858331e+07 1.1217671278862724e+07 1.0954698028929574e+07 1.0661868801573539e+07 1.0338611926399432e+07 9.9852298075374067e+06 9.5735582249875274e+06 9.1320613210452963e+06 8.6658905514435768e+06 8.1819844362181267e+06 7.6888209363420494e+06 7.1959274230155274e+06 6.7131775845747208e+06 6.2499620838986039e+06 5.8143730829166146e+06 5.4125172241230430e+06 5.0481374665185763e+06 4.7226619231509371e+06 4.4355097643991644e+06 4.1843264267886742e+06 3.9657468630169621e+06 3.7760310845543491e+06 3.6113758049576590e+06 3.4682874139952008e+06 3.3436634022232196e+06 3.2349654464056846e+06 3.1399876304197907e+06 3.0570289079781589e+06 2.9845665464640632e+06 2.9215011119328300e+06 2.8667720304732788e+06 2.8195001262472989e+06 2.7790009571247040e+06 2.7445676631003185e+06 2.7155171302848971e+06 2.6913443939959602e+06 2.6714331604445293e+06 2.6553180712002749e+06 2.6424724971922506e+06 2.6324332619662792e+06 2.6245795920543200e+06 2.6183114171490446e+06 2.6131691055210917e+06 2.6087230499507231e+06 2.6045617584088510e+06 2.6016281782368128e+06 2.5986696266890648e+06 2.5956523900185288e+06 2.5924926994489036e+06 2.5892333201076863e+06 2.5857817718904619e+06 2.5822475268516992e+06 2.5783249026788436e+06 2.5741268188037537e+06 2.5695760164845418e+06 2.5646121658457164e+06 2.5591619564787610e+06 2.5531428023731839e+06 2.5464373826965103e+06 2.5390536432701917e+06 2.5307206379928607e+06 2.5213778275681469e+06 2.5108896435734071e+06 2.4991101937990864e+06 2.4858890259065544e+06 2.4710752313035079e+06 2.4545031965360469e+06 2.4361901021359283e+06 2.4158230045675146e+06 2.3934686943565048e+06 2.3691788887709640e+06 2.3431441125221327e+06 2.3156885284643583e+06 2.2874291420249059e+06 2.2592852750914865e+06 2.2327558625087803e+06 2.2097382320095641e+06 2.1931907316826233e+06 2.1872394522434897e+06 2.1978771945888931e+06 2.2338283234126605e+06 2.3083133584355991e+06 2.4422615201431098e+06 2.6709295919697732e+06 3.2309619319221488e+05 +1.4821140380127492e+01 1.2902481769306134e+07 1.2901145088336555e+07 1.2898862913475852e+07 1.2895736548858676e+07 1.2892307434166828e+07 1.2889513008716792e+07 1.2887811386525365e+07 1.2886463299127040e+07 1.2884645380715525e+07 1.2882088334513592e+07 1.2878763691367986e+07 1.2874560980888695e+07 1.2869315753947847e+07 1.2862848454806110e+07 1.2854962302850772e+07 1.2845423030466588e+07 1.2833949029690089e+07 1.2820209472509734e+07 1.2803817752498252e+07 1.2784321425116979e+07 1.2761193672074908e+07 1.2733813157261496e+07 1.2701343350449238e+07 1.2662348712354230e+07 1.2615178828081131e+07 1.2559018059936885e+07 1.2493083226940703e+07 1.2416084399238866e+07 1.2326438370931432e+07 1.2222379847611599e+07 1.2101989102177430e+07 1.1963214529913865e+07 1.1803909651468538e+07 1.1621889922314771e+07 1.1415014759717867e+07 1.1181296147421449e+07 1.0919039795414915e+07 1.0627015807406435e+07 1.0304656500132879e+07 9.9522662016620543e+06 9.5417643364986200e+06 9.1015394591083173e+06 8.6367321418666355e+06 8.1542641932115722e+06 7.6625911875995854e+06 7.1712133521995191e+06 6.6899742044010768e+06 6.2282336159956101e+06 5.7940550571158109e+06 5.3935212470420729e+06 5.0303579070121227e+06 4.7059831699040197e+06 4.4198131541511649e+06 4.1694969541343166e+06 3.9516775403890410e+06 3.7626251772597772e+06 3.5985479226811966e+06 3.4559631282926528e+06 3.3317783982657394e+06 3.2234638832197511e+06 3.1288212057923586e+06 3.0461551994517059e+06 2.9739484684972237e+06 2.9111054437309899e+06 2.8565693101817085e+06 2.8094640145641742e+06 2.7691075424951296e+06 2.7347955527401590e+06 2.7058473598802183e+06 2.6817597881727824e+06 2.6619187353521278e+06 2.6458604791615536e+06 2.6330602493432439e+06 2.6230564931723629e+06 2.6152306197295212e+06 2.6089846729742880e+06 2.6038606273618466e+06 2.5994303837795854e+06 2.5952839056920670e+06 2.5923607732540551e+06 2.5894127598574068e+06 2.5864062710082708e+06 2.5832578359352420e+06 2.5800100672702207e+06 2.5765708156078150e+06 2.5730491564378948e+06 2.5691405055363295e+06 2.5649573761537201e+06 2.5604227847570032e+06 2.5554766163716307e+06 2.5500458217330007e+06 2.5440481090120967e+06 2.5373665765989260e+06 2.5300091355230096e+06 2.5217058138988046e+06 2.5123962841936182e+06 2.5019454609044893e+06 2.4902079715116317e+06 2.4770338996139797e+06 2.4622728741769618e+06 2.4457598729544268e+06 2.4275120090407575e+06 2.4072174623820451e+06 2.3849427818479524e+06 2.3607395004845625e+06 2.3347974643322499e+06 2.3074396815271643e+06 2.2792809596274532e+06 2.2512373469145214e+06 2.2248024330592044e+06 2.2018667952235974e+06 2.1853782399500813e+06 2.1794481612848234e+06 2.1900480105941091e+06 2.2258710755387871e+06 2.3000907828501682e+06 2.4335618015503739e+06 2.6614153169807559e+06 3.2181845770227833e+05 +1.4826108702901751e+01 1.2861663150266213e+07 1.2860330608286483e+07 1.2858055526093572e+07 1.2854938817466933e+07 1.2851520074239213e+07 1.2848733717321478e+07 1.2847036411195673e+07 1.2845691255919339e+07 1.2843877473274155e+07 1.2841326553612607e+07 1.2838010041765666e+07 1.2833817745970005e+07 1.2828585653069161e+07 1.2822134676141517e+07 1.2814268541778732e+07 1.2804753591857327e+07 1.2793308950500267e+07 1.2779604647918919e+07 1.2763255081037136e+07 1.2743808984113768e+07 1.2720740913979603e+07 1.2693431163217066e+07 1.2661045413423896e+07 1.2622151920809574e+07 1.2575104566881554e+07 1.2519089872465320e+07 1.2453326851730105e+07 1.2376529121482395e+07 1.2287117832525015e+07 1.2183332604804832e+07 1.2063259139838306e+07 1.1924851749060545e+07 1.1765970296935594e+07 1.1584436903001033e+07 1.1378117796336235e+07 1.1145031675670456e+07 1.0883490527366338e+07 1.0592269852409776e+07 1.0270805936524626e+07 9.9194050170178730e+06 9.5100699402060900e+06 9.0711138421678375e+06 8.6076664237670023e+06 8.1266328100658478e+06 7.6364462354324963e+06 7.1465798475116584e+06 6.6668470725781834e+06 6.2065770810100539e+06 5.7738047429739144e+06 5.3745889394325688e+06 5.0126382238123361e+06 4.6893607993218703e+06 4.4041697616647668e+06 4.1547178690393185e+06 3.9376560986625226e+06 3.7492649458442754e+06 3.5857637839363618e+06 3.4436808958263951e+06 3.3199339692511964e+06 3.2120016025948259e+06 3.1176929331828756e+06 3.0353186551687401e+06 2.9633666920778882e+06 2.9007453266023975e+06 2.8464014900282822e+06 2.7994622410575557e+06 2.7592479848424969e+06 2.7250568903304026e+06 2.6962106923104906e+06 2.6722079979247530e+06 2.6524368889542599e+06 2.6364352738287649e+06 2.6236802348198569e+06 2.6137118374983217e+06 2.6059136661580964e+06 2.5996898718876401e+06 2.5945840299720331e+06 2.5901695443382091e+06 2.5860378290141462e+06 2.5831251085386905e+06 2.5801875972052994e+06 2.5771918193668230e+06 2.5740546012378889e+06 2.5708184034843207e+06 2.5673914062538850e+06 2.5638822898621294e+06 2.5599875643744790e+06 2.5558193382661534e+06 2.5513009022687729e+06 2.5463723555750926e+06 2.5409609091678904e+06 2.5349845643976079e+06 2.5283268374272818e+06 2.5209956046476103e+06 2.5127218650103193e+06 2.5034455020404495e+06 2.4930319114983967e+06 2.4813362387743946e+06 2.4682091015676227e+06 2.4535006645688815e+06 2.4370464946973799e+06 2.4188636378760273e+06 2.3986413936439562e+06 2.3764460700577260e+06 2.3523290165770054e+06 2.3264794028908075e+06 2.2992190863735122e+06 2.2711606842451734e+06 2.2432169823823334e+06 2.2168762436163076e+06 2.1940223176226015e+06 2.1775925055160150e+06 2.1716835550115514e+06 2.1822456410631416e+06 2.2179410807409920e+06 2.2918963690733672e+06 2.4248918789450722e+06 2.6519336278061271e+06 3.2054566716360510e+05 +1.4831077025676009e+01 1.2820965192279767e+07 1.2819636784489598e+07 1.2817368780114820e+07 1.2814261701741062e+07 1.2810853300869370e+07 1.2808074991844518e+07 1.2806381992564715e+07 1.2805039765313033e+07 1.2803230111679394e+07 1.2800685307153773e+07 1.2797376910676762e+07 1.2793195008587185e+07 1.2787976022669045e+07 1.2781541333824834e+07 1.2773695174665989e+07 1.2764204495269479e+07 1.2752789150198543e+07 1.2739120026028195e+07 1.2722812520783603e+07 1.2703416544946741e+07 1.2680408027391864e+07 1.2653168885770304e+07 1.2620867008469159e+07 1.2582074438618165e+07 1.2535149344596811e+07 1.2479280400974283e+07 1.2413688811660036e+07 1.2337091731640095e+07 1.2247914658028683e+07 1.2144402113182882e+07 1.2024645213860825e+07 1.1886604172621707e+07 1.1728145181203099e+07 1.1547097005163938e+07 1.1341332666105537e+07 1.1108877557523005e+07 1.0848049921669941e+07 1.0557630636911852e+07 1.0237059939913176e+07 9.8866459625560530e+06 9.4784747507721726e+06 9.0407841914634500e+06 8.5786931258351766e+06 8.0990900238264818e+06 7.6103858261030391e+06 7.1220266651809644e+06 6.6437959559094980e+06 6.1849922567157028e+06 5.7536219293740178e+06 5.3557201011846485e+06 4.9949782274474138e+06 4.6727946319963867e+06 4.3885794168623788e+06 4.1399890099127903e+06 3.9236823838974833e+06 3.7359502431844831e+06 3.5730232476163185e+06 3.4314405807900508e+06 3.3081299840341667e+06 3.2005784774703039e+06 3.1066026891121352e+06 3.0245191547822217e+06 2.9528210995950783e+06 2.8904206453192853e+06 2.8362684568532882e+06 2.7894946943527013e+06 2.7494221743135173e+06 2.7153515673154853e+06 2.6866070201161527e+06 2.6626889167023334e+06 2.6429875154565508e+06 2.6270423500193548e+06 2.6143323489314490e+06 2.6043991906416323e+06 2.5966286273361081e+06 2.5904269101257506e+06 2.5853392097877916e+06 2.5809404282418047e+06 2.5768234251555065e+06 2.5739210809848122e+06 2.5709940357414181e+06 2.5680089322232762e+06 2.5648828926165104e+06 2.5616582261326057e+06 2.5582434413494477e+06 2.5547468247885192e+06 2.5508659770111986e+06 2.5467126031231801e+06 2.5422102671827078e+06 2.5372992818167261e+06 2.5319071173626427e+06 2.5259520673413263e+06 2.5193180642615422e+06 2.5120129500198541e+06 2.5037686910317410e+06 2.4945253811826524e+06 2.4841488958436004e+06 2.4724948965439484e+06 2.4594145332516222e+06 2.4447585045439922e+06 2.4283629644893263e+06 2.4102448920905562e+06 2.3900947026109728e+06 2.3679784641312715e+06 2.3439473431558213e+06 2.3181898353361231e+06 2.2910266512319520e+06 2.2630682252227566e+06 2.2352240919562783e+06 2.2089772056916631e+06 2.1862047116323356e+06 2.1698334414663562e+06 2.1639455467372881e+06 2.1744699988905545e+06 2.2100382504898035e+06 2.2837300256222524e+06 2.4162516555377282e+06 2.6424844185886509e+06 3.1927780294747849e+05 +1.4836045348450268e+01 1.2780387561107017e+07 1.2779063299317127e+07 1.2776802355054472e+07 1.2773704879214944e+07 1.2770306792388648e+07 1.2767536510610437e+07 1.2765847808983479e+07 1.2764508505671222e+07 1.2762702974276816e+07 1.2760164273518322e+07 1.2756863976492409e+07 1.2752692447133619e+07 1.2747486541183056e+07 1.2741068106305012e+07 1.2733241880060036e+07 1.2723775419303238e+07 1.2712389307486493e+07 1.2698755285627713e+07 1.2682489750674240e+07 1.2663143786708472e+07 1.2640194691607969e+07 1.2613026004438628e+07 1.2580807815397410e+07 1.2542115945899395e+07 1.2495312841774706e+07 1.2439589326489709e+07 1.2374168788336113e+07 1.2297771912007228e+07 1.2208828530524310e+07 1.2105588056813546e+07 1.1986147009429025e+07 1.1848471487125931e+07 1.1690433992372287e+07 1.1509869918754561e+07 1.1304659061131017e+07 1.1072833487611307e+07 1.0812717675927734e+07 1.0523097861967156e+07 1.0203418215345265e+07 9.8539887479351703e+06 9.4469784835843071e+06 9.0105502289378326e+06 8.5498119774613474e+06 8.0716355722161867e+06 7.5844097065411443e+06 7.0975535620925799e+06 6.6208206218324648e+06 6.1634789215084072e+06 5.7335064058069801e+06 5.3369145327605195e+06 4.9773777289886111e+06 4.6562844890339272e+06 4.3730419501483841e+06 4.1253102156472700e+06 3.9097562426084159e+06 3.7226809225885500e+06 3.5603261730328901e+06 3.4192420477868752e+06 3.2963663118647104e+06 3.1891943811668828e+06 3.0955503504716549e+06 3.0137565783042978e+06 2.9423115737937344e+06 2.8801312849962329e+06 2.8261700978337661e+06 2.7795612633985798e+06 2.7396300013871803e+06 2.7056794754647217e+06 2.6770362361612241e+06 2.6532024382785982e+06 2.6335705093844393e+06 2.6176816028663972e+06 2.6050164872986451e+06 2.5951184486014387e+06 2.5873753995654886e+06 2.5811956842381284e+06 2.5761260635597459e+06 2.5717429324122509e+06 2.5676405912034679e+06 2.5647485877968785e+06 2.5618319727891004e+06 2.5588575070184562e+06 2.5557426076333891e+06 2.5525294329106528e+06 2.5491268187259249e+06 2.5456426591862058e+06 2.5417756415688321e+06 2.5376370690143029e+06 2.5331507779693394e+06 2.5282572937616641e+06 2.5228843451967356e+06 2.5169505169676137e+06 2.5103401564881909e+06 2.5030610713119297e+06 2.4948461919677025e+06 2.4856358219948788e+06 2.4752963147303504e+06 2.4636838460750445e+06 2.4506500964420950e+06 2.4360462964664227e+06 2.4197091853486062e+06 2.4016556754279751e+06 2.3815772938260436e+06 2.3595398694967087e+06 2.3355943866082407e+06 2.3099286690862975e+06 2.2828622846042863e+06 2.2550034921819707e+06 2.2272585863659470e+06 2.2011052310655820e+06 2.1784138899405017e+06 2.1621009611400268e+06 2.1562340500404942e+06 2.1667209972338220e+06 2.2021624965196685e+06 2.2755916612914829e+06 2.4076410348272161e+06 2.6330675837999363e+06 3.1801484649296192e+05 +1.4841013671224527e+01 1.2739929969741143e+07 1.2738609828842081e+07 1.2736355932934780e+07 1.2733268028556837e+07 1.2729880227888983e+07 1.2727117952721473e+07 1.2725433539524719e+07 1.2724097156062720e+07 1.2722295740155905e+07 1.2719763131759860e+07 1.2716470918288251e+07 1.2712309740716800e+07 1.2707116887771454e+07 1.2700714672799494e+07 1.2692908337184753e+07 1.2683466043282935e+07 1.2672109101771461e+07 1.2658510106255420e+07 1.2642286450351562e+07 1.2622990389203833e+07 1.2600100586621165e+07 1.2573002199450674e+07 1.2540867514705375e+07 1.2502276123479521e+07 1.2455594739661332e+07 1.2400016330761764e+07 1.2334766464079540e+07 1.2258569345580829e+07 1.2169859133861102e+07 1.2066890120482940e+07 1.1947764212472703e+07 1.1810453379820039e+07 1.1652836419256208e+07 1.1472755334432397e+07 1.1268096674238632e+07 1.1036899161299560e+07 1.0777493488449484e+07 1.0488671229337122e+07 1.0169880468576515e+07 9.8214330835337453e+06 9.4155808547175806e+06 8.9804116772161108e+06 8.5210227087198738e+06 8.0442691936550252e+06 7.5585176243322371e+06 7.0731602957817791e+06 6.5979208384275157e+06 6.1420368543870384e+06 5.7134579623530321e+06 5.3181720351901455e+06 4.9598365400597649e+06 4.6398301920667319e+06 4.3575571924327957e+06 4.1106813256027359e+06 3.8958775217685662e+06 3.7094568377941879e+06 3.5476724199188035e+06 3.4070851618176228e+06 3.2846428223760724e+06 3.1778491873845239e+06 3.0845357945202254e+06 3.0030308061097683e+06 2.9318379977652933e+06 2.8698771310943668e+06 2.8161063004836007e+06 2.7696618374862010e+06 2.7298713568662861e+06 2.6960405068772924e+06 2.6674982336289962e+06 2.6437484567483808e+06 2.6241857655774672e+06 2.6083529278177987e+06 2.5957325458548949e+06 2.5858695076992009e+06 2.5781538794692876e+06 2.5719960910855797e+06 2.5669444883481618e+06 2.5625769540876448e+06 2.5584892245558039e+06 2.5556075264881114e+06 2.5527013059763480e+06 2.5497374415025925e+06 2.5466336441620635e+06 2.5434319218217824e+06 2.5400414365226189e+06 2.5365696913313349e+06 2.5327164564804221e+06 2.5285926345380517e+06 2.5241223334061033e+06 2.5192462903822791e+06 2.5138924918582165e+06 2.5079798126953393e+06 2.5013930137951090e+06 2.4941398685044944e+06 2.4859542681295858e+06 2.4767767251534718e+06 2.4664740692458902e+06 2.4549029889193126e+06 2.4419156932110102e+06 2.4273639429912353e+06 2.4110850605821302e+06 2.3930958919154382e+06 2.3730890721257939e+06 2.3511301918681418e+06 2.3272700536042177e+06 2.3016958118373514e+06 2.2747258952665036e+06 2.2469663950103046e+06 2.2193203766117203e+06 2.1932602317801039e+06 2.1706497654987206e+06 2.1543949781383462e+06 2.1485489787585367e+06 2.1589985495109987e+06 2.1943137308364091e+06 2.2674811851478852e+06 2.3990599206046648e+06 2.6236830182174374e+06 3.1675677930666291e+05 +1.4845981993998786e+01 1.2699592088082856e+07 1.2698276064772395e+07 1.2696029196754180e+07 1.2692950829535361e+07 1.2689573287239728e+07 1.2686818997926617e+07 1.2685138863974724e+07 1.2683805396273699e+07 1.2682008089094995e+07 1.2679481561689904e+07 1.2676197415876320e+07 1.2672046569189880e+07 1.2666866742292002e+07 1.2660480713205274e+07 1.2652694226029247e+07 1.2643276047241796e+07 1.2631948213181378e+07 1.2618384168111229e+07 1.2602202300186686e+07 1.2582956032957759e+07 1.2560125393144008e+07 1.2533097151758350e+07 1.2501045787611261e+07 1.2462554652934629e+07 1.2415994720217803e+07 1.2360561096231621e+07 1.2295481521926904e+07 1.2219483716105752e+07 1.2131006152557520e+07 1.2028307989692418e+07 1.1909496509613840e+07 1.1772549538666936e+07 1.1615352151388159e+07 1.1435752943567336e+07 1.1231645198968491e+07 1.1001074274671823e+07 1.0742377058279600e+07 1.0454350441495681e+07 1.0136446406076148e+07 9.7889786804208718e+06 9.3842815809616409e+06 8.9503682596400958e+06 8.4923250503750667e+06 8.0169906272317441e+06 7.5327093277423810e+06 7.0488466244332017e+06 6.5750963743987931e+06 6.1206658349654675e+06 5.6934763896708246e+06 5.2994924100721199e+06 4.9423544728156328e+06 4.6234315632462027e+06 4.3421249751190748e+06 4.0961021796195116e+06 3.8820460687973774e+06 3.6962778429756053e+06 3.5350618484189557e+06 3.3949697882904955e+06 3.2729593855964723e+06 3.1665427701964225e+06 3.0735588988830294e+06 2.9923417189285206e+06 2.9214002549544391e+06 2.8596580694219042e+06 2.8060769526545140e+06 2.7597963062352538e+06 2.7201461318868548e+06 2.6864345539741674e+06 2.6579929060283038e+06 2.6343268665178725e+06 2.6148331791957449e+06 2.5990562206383315e+06 2.5864804208496301e+06 2.5766522645608750e+06 2.5689639639742672e+06 2.5628280278376043e+06 2.5577943815222401e+06 2.5534423908091793e+06 2.5493692229177319e+06 2.5464977948800842e+06 2.5436019332423047e+06 2.5406486337291836e+06 2.5375559003834487e+06 2.5343655911722239e+06 2.5309871931802677e+06 2.5275278198057315e+06 2.5236883204832398e+06 2.5195791985968067e+06 2.5151248325716043e+06 2.5102661709546195e+06 2.5049314568348494e+06 2.4990398542535179e+06 2.4924765361693101e+06 2.4852492418777188e+06 2.4770928201177879e+06 2.4679479916272410e+06 2.4576820607775794e+06 2.4461522269241177e+06 2.4332112259266642e+06 2.4187113470694725e+06 2.4024904937907662e+06 2.3845654458743548e+06 2.3646299426257778e+06 2.3427493372404855e+06 2.3189742510943171e+06 2.2934911715619508e+06 2.2666173922717185e+06 2.2389568438702393e+06 2.2114093739602887e+06 2.1854421201479044e+06 2.1629122515196074e+06 2.1467154063292560e+06 2.1408902469885694e+06 2.1513025694011510e+06 2.1864918657027530e+06 2.2593985065341862e+06 2.3905082169505213e+06 2.6143306169434236e+06 3.1550358296249877e+05 +1.4850950316773044e+01 1.2659373635008292e+07 1.2658061710531017e+07 1.2655821828045016e+07 1.2652752962845109e+07 1.2649385651010409e+07 1.2646639326729994e+07 1.2644963462824740e+07 1.2643632906794250e+07 1.2641839701582292e+07 1.2639319243787281e+07 1.2636043149776578e+07 1.2631902613073314e+07 1.2626735785303468e+07 1.2620365908128699e+07 1.2612599227248024e+07 1.2603205111918993e+07 1.2591906322533388e+07 1.2578377152161108e+07 1.2562236981254635e+07 1.2543040399209905e+07 1.2520268792606924e+07 1.2493310543013342e+07 1.2461342316048397e+07 1.2422951216520432e+07 1.2376512466119612e+07 1.2321223306068294e+07 1.2256313645628279e+07 1.2180514708008990e+07 1.2092269271888832e+07 1.1989841350652482e+07 1.1871343588198856e+07 1.1734759652350282e+07 1.1577980879019236e+07 1.1398862438262003e+07 1.1195304329568697e+07 1.0965358524505967e+07 1.0707368085151328e+07 1.0420135201638799e+07 1.0103115735028697e+07 9.7566252503895611e+06 9.3530803798009288e+06 8.9204197002443206e+06 8.4637187338917814e+06 7.9897996127096787e+06 7.5069845657034591e+06 7.0246123068833444e+06 6.5523469990913775e+06 6.0993656434866814e+06 5.6735614790239399e+06 5.2808754595710076e+06 4.9249313399645975e+06 4.6070884252336724e+06 4.3267451301024323e+06 4.0815726180041097e+06 3.8682617315687891e+06 3.6831437927438705e+06 3.5224943190997578e+06 3.3828957930124588e+06 3.2613158719388042e+06 3.1552750040590288e+06 3.0626195415515499e+06 2.9816891978490022e+06 2.9109982291537086e+06 2.8494739861227451e+06 2.7960819425351652e+06 2.7499645595985181e+06 2.7104542179078236e+06 2.6768615094969706e+06 2.6485201471853312e+06 2.6249375623205174e+06 2.6055126457085363e+06 2.5897913774040295e+06 2.5772600088441521e+06 2.5674666161275553e+06 2.5598055503183734e+06 2.5536913919770289e+06 2.5486756407643654e+06 2.5443391404286195e+06 2.5402804843068388e+06 2.5374192911020895e+06 2.5345337528321678e+06 2.5315909820633745e+06 2.5285092747838497e+06 2.5253303395760045e+06 2.5219639874514937e+06 2.5185169434992583e+06 2.5146911326183449e+06 2.5105966603952218e+06 2.5061581748505482e+06 2.5013168350563748e+06 2.4960011399190379e+06 2.4901305416685394e+06 2.4835906239032559e+06 2.4763890920095779e+06 2.4682617488430180e+06 2.4591495226945919e+06 2.4489201910050162e+06 2.4374314622329972e+06 2.4245365972493039e+06 2.4100884119414734e+06 2.3939253888654266e+06 2.3760642419112837e+06 2.3561998107331232e+06 2.3343972118956554e+06 2.3107068863094477e+06 2.2853146565109347e+06 2.2585366849458623e+06 2.2309747491932916e+06 2.2035254899452757e+06 2.1776508087374559e+06 2.1552012614780013e+06 2.1390621598317474e+06 2.1332577690861784e+06 2.1436329708441463e+06 2.1786968136526449e+06 2.2513435350624570e+06 2.3819858282375494e+06 2.6050102753941212e+06 3.1425523910146288e+05 +1.4855918639547303e+01 1.2619274217607226e+07 1.2617966428576589e+07 1.2615733505591456e+07 1.2612674109895498e+07 1.2609317000493413e+07 1.2606578620315174e+07 1.2604907017275045e+07 1.2603579368830113e+07 1.2601790258837359e+07 1.2599275859270036e+07 1.2596007801207144e+07 1.2591877553618111e+07 1.2586723698105628e+07 1.2580369938900366e+07 1.2572623022230087e+07 1.2563252918775378e+07 1.2551983111377979e+07 1.2538488740041576e+07 1.2522390175334334e+07 1.2503243169897996e+07 1.2480530467137862e+07 1.2453642055572893e+07 1.2421756782662144e+07 1.2383465497218624e+07 1.2337147660757978e+07 1.2282002644166062e+07 1.2217262519644560e+07 1.2141662006447783e+07 1.2053648177801700e+07 1.1951489890287019e+07 1.1833305136290798e+07 1.1697083410255561e+07 1.1540722293109190e+07 1.1362083511306806e+07 1.1159073761023751e+07 1.0929751608295577e+07 1.0672466269528817e+07 1.0386025213650649e+07 1.0069888163323071e+07 9.7243725059306119e+06 9.3219769694272950e+06 8.8905657237526681e+06 8.4352034914096259e+06 7.9626958905397570e+06 7.4813430878024735e+06 7.0004571026213150e+06 6.5296724824726619e+06 6.0781360607762430e+06 5.6537130222529545e+06 5.2623209864088297e+06 4.9075669547438305e+06 4.5908006012089532e+06 4.3114174897712329e+06 4.0670924815356252e+06 3.8545243584046643e+06 3.6700545421409658e+06 3.5099696929373150e+06 3.3708630421911692e+06 3.2497121522023771e+06 3.1440457637972822e+06 3.0517176008877452e+06 2.9710731243131305e+06 2.9006318045065249e+06 2.8393247676872723e+06 2.7861211586515768e+06 2.7401664878557790e+06 2.7007955067177042e+06 2.6673212665128801e+06 2.6390798512478475e+06 2.6155804391990150e+06 2.5962240609065164e+06 2.5805582945075664e+06 2.5680712067097188e+06 2.5583124596520187e+06 2.5506785360547109e+06 2.5445860812889365e+06 2.5395881640587845e+06 2.5352671011076104e+06 2.5312229070448056e+06 2.5283719135931414e+06 2.5254966632975689e+06 2.5225643851766707e+06 2.5194936661578068e+06 2.5163260659563304e+06 2.5129717183899186e+06 2.5095369616041114e+06 2.5057247922332017e+06 2.5016449194432748e+06 2.4972222599313674e+06 2.4923981825700426e+06 2.4871014412060971e+06 2.4812517752701845e+06 2.4747351775895464e+06 2.4675593197789248e+06 2.4594609555075164e+06 2.4503812199183204e+06 2.4401883619093057e+06 2.4287405972869745e+06 2.4158917101342697e+06 2.4014950411395654e+06 2.3853896499869558e+06 2.3675921849207636e+06 2.3477985821362459e+06 2.3260737223962848e+06 2.3024678667640495e+06 2.2771661752106189e+06 2.2504836828865730e+06 2.2230200216834941e+06 2.1956686363695301e+06 2.1698862103897510e+06 2.1475167091071294e+06 2.1314351530270842e+06 2.1256514596636901e+06 2.1359896680355039e+06 2.1709284874810907e+06 2.2433161806234042e+06 2.3734926591202402e+06 2.5957218892969391e+06 3.1301172943139245e+05 +1.4860886962321562e+01 1.2579293577765668e+07 1.2577989865768986e+07 1.2575763906149058e+07 1.2572713952617576e+07 1.2569367017635383e+07 1.2566636560578952e+07 1.2564969209239092e+07 1.2563644464294583e+07 1.2561859442761524e+07 1.2559351090065649e+07 1.2556091052123984e+07 1.2551971072793070e+07 1.2546830162687818e+07 1.2540492487563634e+07 1.2532765293072745e+07 1.2523419149973016e+07 1.2512178261973899e+07 1.2498718614127530e+07 1.2482661564927448e+07 1.2463564027675185e+07 1.2440910099589398e+07 1.2414091372531079e+07 1.2382288870804863e+07 1.2344097178717580e+07 1.2297899988238437e+07 1.2242898795107417e+07 1.2178327829153698e+07 1.2102925297284121e+07 1.2015142556976052e+07 1.1913253296235979e+07 1.1795380842653418e+07 1.1659520502498895e+07 1.1503576085327918e+07 1.1325415856236573e+07 1.1122953188997190e+07 1.0894253224266097e+07 1.0637671312576789e+07 1.0352020182148287e+07 1.0036763399556814e+07 9.6922201602436416e+06 9.2909710687296540e+06 8.8608060555841327e+06 8.4067790557602756e+06 7.9356792018441213e+06 7.4557846443012087e+06 6.9763807717801807e+06 6.5070725951510947e+06 6.0569768682940016e+06 5.6339308117958149e+06 5.2438287938801935e+06 4.8902611309358757e+06 4.5745679148718966e+06 4.2961418870048262e+06 4.0526616114575397e+06 3.8408337980781696e+06 3.6570099466331103e+06 3.4974878313274919e+06 3.3588714024325097e+06 3.2381480975781633e+06 3.1328549246153566e+06 3.0408529556064964e+06 2.9604933801266956e+06 2.8903008655014224e+06 2.8292103009461644e+06 2.7761944898642083e+06 2.7304019816224226e+06 2.6911698904323094e+06 2.6578137184108798e+06 2.6296719126779065e+06 2.6062553925159853e+06 2.5869673208896169e+06 2.5713568686490315e+06 2.5589139116303115e+06 2.5491896926938700e+06 2.5415828190389546e+06 2.5355119938758393e+06 2.5305318497023890e+06 2.5262261713149692e+06 2.5221963897575145e+06 2.5193555610914147e+06 2.5164905634950232e+06 2.5135687420409960e+06 2.5105089736033860e+06 2.5073526695382879e+06 2.5040102853570748e+06 2.5005877736193747e+06 2.4967891989755994e+06 2.4927238755550450e+06 2.4883169878037944e+06 2.4835101136777438e+06 2.4782322610931718e+06 2.4724034556884384e+06 2.4659100981152277e+06 2.4587598263666690e+06 2.4506903416130831e+06 2.4416429851686908e+06 2.4314864757635365e+06 2.4200795348170325e+06 2.4072764678290640e+06 2.3929311384881758e+06 2.3768831816227175e+06 2.3591491800841331e+06 2.3394261628114837e+06 2.3177787755858474e+06 2.2942571002443740e+06 2.2690456364650088e+06 2.2424582959668380e+06 2.2150925723119411e+06 2.1878387252990259e+06 2.1621482382008545e+06 2.1398585084055043e+06 2.1238343005548795e+06 2.1180712335938234e+06 2.1283725754369851e+06 2.1631868002426941e+06 2.2353163533715373e+06 2.3650286145446668e+06 2.5864653547012624e+06 3.1177303572673409e+05 +1.4865855285095821e+01 1.2539431413498625e+07 1.2538131722688036e+07 1.2535912708321562e+07 1.2532872173602508e+07 1.2529535385068310e+07 1.2526812830139674e+07 1.2525149721329894e+07 1.2523827875821324e+07 1.2522046935987839e+07 1.2519544618797636e+07 1.2516292585148970e+07 1.2512182853276182e+07 1.2507054861744089e+07 1.2500733236863319e+07 1.2493025722567998e+07 1.2483703488380790e+07 1.2472491457287926e+07 1.2459066457489686e+07 1.2443050833235105e+07 1.2424002655913213e+07 1.2401407373531397e+07 1.2374658177665852e+07 1.2342938264540281e+07 1.2304845945417911e+07 1.2258769133362396e+07 1.2203911444195164e+07 1.2139509260038301e+07 1.2064304267087119e+07 1.1976752096793095e+07 1.1875131256847024e+07 1.1757570396773025e+07 1.1622070619881561e+07 1.1466541948074488e+07 1.1288859167275792e+07 1.1086942309888404e+07 1.0858863071328990e+07 1.0602982916175945e+07 1.0318119812444890e+07 1.0003741153024083e+07 9.6601679272219818e+06 9.2600623972958531e+06 8.8311404218565281e+06 8.3784451604514187e+06 7.9087492884175358e+06 7.4303089861111920e+06 6.9523830751386033e+06 6.4845471083501214e+06 6.0358878480924284e+06 5.6142146406629737e+06 5.2253986858366132e+06 4.8730136828609696e+06 4.5583901904315706e+06 4.2809181551748682e+06 4.0382798494935585e+06 3.8271898998112013e+06 3.6440098621229450e+06 3.4850485960738403e+06 3.3469207407418443e+06 3.2266235796358967e+06 3.1217023620890207e+06 3.0300254848001706e+06 2.9499498474363466e+06 2.8800052969769719e+06 2.8191304730699272e+06 2.7663018253672677e+06 2.7206709318390209e+06 2.6815772614846532e+06 2.6483387589027425e+06 2.6202962262620619e+06 2.5969623179497709e+06 2.5777423220748631e+06 2.5621869968414516e+06 2.5497880210975511e+06 2.5400982131223800e+06 2.5325182974373447e+06 2.5264690281399274e+06 2.5215065962984213e+06 2.5172162498186682e+06 2.5132008313835450e+06 2.5103701326478170e+06 2.5075153525914112e+06 2.5046039519390599e+06 2.5015550965216369e+06 2.4984100498488452e+06 2.4950795880152616e+06 2.4916692793427627e+06 2.4878842527993857e+06 2.4838334288455890e+06 2.4794422587617999e+06 2.4746525288661998e+06 2.4693935002720058e+06 2.4635854838532950e+06 2.4571152866718159e+06 2.4499905132456468e+06 2.4419498089599381e+06 2.4329347206070838e+06 2.4228144351360286e+06 2.4114481778496574e+06 2.3986907738724314e+06 2.3843966081015458e+06 2.3684058885299754e+06 2.3507351328696124e+06 2.3310824590128721e+06 2.3095122785901688e+06 2.2860744948174446e+06 2.2609529493527408e+06 2.2344604343295502e+06 2.2071923123160959e+06 2.1800356690649190e+06 2.1544368055336485e+06 2.1322265736246654e+06 2.1162595173120392e+06 2.1105170060024159e+06 2.1207816077572764e+06 2.1554716652608598e+06 2.2273439637400028e+06 2.3565935997445690e+06 2.5772405679634782e+06 3.1053913982831547e+05 +1.4870823607870079e+01 1.2499687324079921e+07 1.2498391697124830e+07 1.2496179596199213e+07 1.2493148456093142e+07 1.2489821786057806e+07 1.2487107112301998e+07 1.2485448236872988e+07 1.2484129286732245e+07 1.2482352421848701e+07 1.2479856128805600e+07 1.2476612083651504e+07 1.2472512578419838e+07 1.2467397478695508e+07 1.2461091870253209e+07 1.2453403994239660e+07 1.2444105617590668e+07 1.2432922380978761e+07 1.2419531953899201e+07 1.2403557664173001e+07 1.2384558738687182e+07 1.2362021973210135e+07 1.2335342155472755e+07 1.2303704648639757e+07 1.2265711482434705e+07 1.2219754781653712e+07 1.2165040277431035e+07 1.2100806498895723e+07 1.2025798603139749e+07 1.1938476485372899e+07 1.1837123461177865e+07 1.1719873488838593e+07 1.1584733453945376e+07 1.1429619574429793e+07 1.1252413139350407e+07 1.1051040820788631e+07 1.0823580849120431e+07 1.0568400782901453e+07 1.0284323810566366e+07 9.9708211337428298e+06 9.6282155214685667e+06 9.2292506754136086e+06 8.8015685493673477e+06 8.3502015396980178e+06 7.8819058927265517e+06 7.4049158648171965e+06 6.9284637741260808e+06 6.4620957939232588e+06 6.0148687828366868e+06 5.5945643024621261e+06 5.2070304666903438e+06 4.8558244253689107e+06 4.5422672526009306e+06 4.2657461281373017e+06 4.0239470378213776e+06 3.8135925132702175e+06 3.6310541449389197e+06 3.4726518493954381e+06 3.3350109245240963e+06 3.2151384703306914e+06 3.1105879521684977e+06 3.0192350679115541e+06 2.9394424087583832e+06 2.8697449841140164e+06 2.8090851715636118e+06 2.7564430546876239e+06 2.7109732297742204e+06 2.6720175126404846e+06 2.6388962820140659e+06 2.6109526870976896e+06 2.5877011114891404e+06 2.5685489611875014e+06 2.5530485764105823e+06 2.5406934329166217e+06 2.5310379191165473e+06 2.5234848697239473e+06 2.5174570827922872e+06 2.5125123027519463e+06 2.5082372357003032e+06 2.5042361311583961e+06 2.5014155276142340e+06 2.4985709300472280e+06 2.4956699144512983e+06 2.4926319346193508e+06 2.4894981067171912e+06 2.4861795263290377e+06 2.4827813788762451e+06 2.4790098539559497e+06 2.4749734797303602e+06 2.4705979733941676e+06 2.4658253289160309e+06 2.4605850597406831e+06 2.4547977609922732e+06 2.4483506447469736e+06 2.4412512821891657e+06 2.4332392596429647e+06 2.4242563286886169e+06 2.4141721428897204e+06 2.4028464296995872e+06 2.3901345320941010e+06 2.3758913543816134e+06 2.3599576757523753e+06 2.3423499490277218e+06 2.3227673772852132e+06 2.3012741388147855e+06 2.2779199588308334e+06 2.2528880232241596e+06 2.2264900083873519e+06 2.1993191532079102e+06 2.1722593802649602e+06 2.1467518260108703e+06 2.1246208192784819e+06 2.1087107184515106e+06 2.1029886922747600e+06 2.1132166799726421e+06 2.1477829961139709e+06 2.2193989224272966e+06 2.3481875202355064e+06 2.5680474257543096e+06 3.0931002364311257e+05 +1.4875791930644338e+01 1.2460061027957730e+07 1.2458769464576434e+07 1.2456564257143915e+07 1.2453542484092869e+07 1.2450225904587697e+07 1.2447519091081714e+07 1.2445864439896215e+07 1.2444548381063066e+07 1.2442775584379403e+07 1.2440285304121302e+07 1.2437049231691292e+07 1.2432959932327291e+07 1.2427857697654804e+07 1.2421568071891503e+07 1.2413899792289427e+07 1.2404625221888861e+07 1.2393470717433687e+07 1.2380114787851112e+07 1.2364181742355959e+07 1.2345231960773518e+07 1.2322753583602874e+07 1.2296142991160283e+07 1.2264587708589228e+07 1.2226693475571318e+07 1.2180856619339945e+07 1.2126284981546214e+07 1.2062219233012296e+07 1.1987407993436674e+07 1.1900315411506683e+07 1.1799229599006446e+07 1.1682289809758276e+07 1.1547508696906202e+07 1.1392808658201864e+07 1.1216077468127707e+07 1.1015248419523856e+07 1.0788406257976903e+07 1.0533924616054369e+07 1.0250631883234344e+07 9.9380030524190404e+06 9.5963626582904290e+06 9.1985356240738332e+06 8.7720901656272374e+06 8.3220479283665465e+06 7.8551487579246117e+06 7.3796050326524889e+06 6.9046226308121532e+06 6.4397184243599772e+06 5.9939194557933118e+06 5.5749795913776094e+06 5.1887239414111674e+06 4.8386931738527473e+06 4.5261989266219260e+06 4.2506256402401440e+06 4.0096630190855786e+06 3.8000414885669947e+06 3.6181426518346407e+06 3.4602974539231095e+06 3.3231418215734665e+06 3.2036926420026701e+06 3.0995115711735627e+06 3.0084815847550468e+06 2.9289709469478810e+06 2.8595198124368172e+06 2.7990742842791486e+06 2.7466180676846816e+06 2.7013087670258451e+06 2.6624905369798881e+06 2.6294861820977954e+06 2.6016411906032939e+06 2.5784716694416804e+06 2.5593871352673294e+06 2.5439415049904548e+06 2.5316300451944051e+06 2.5220087091600606e+06 2.5144824346758616e+06 2.5084760568503062e+06 2.5035488682772252e+06 2.4992890283438419e+06 2.4953021886256025e+06 2.4924916456463467e+06 2.4896571956374431e+06 2.4867665294666798e+06 2.4837393879054058e+06 2.4806167402834035e+06 2.4773100005649645e+06 2.4739239726231769e+06 2.4701659030013951e+06 2.4661439289238290e+06 2.4617840325945308e+06 2.4570284149151770e+06 2.4518068407931719e+06 2.4460401886306913e+06 2.4396160741253020e+06 2.4325420352682909e+06 2.4245585960532096e+06 2.4156077121643135e+06 2.4055595021814108e+06 2.3942741939822733e+06 2.3816076466139453e+06 2.3674152820217884e+06 2.3515384486195110e+06 2.3339935345961694e+06 2.3144808244476607e+06 2.2930642639410729e+06 2.2697934009043965e+06 2.2448507677055215e+06 2.2185469288263409e+06 2.1914730067568421e+06 2.1645097717576395e+06 2.1390932135129888e+06 2.1170411601378713e+06 2.1011878193818550e+06 2.0954862080465858e+06 2.1056777073101280e+06 2.1401207066464890e+06 2.2114811403991547e+06 2.3398102818204160e+06 2.5588858250566479e+06 3.0808566914401919e+05 +1.4880760253418597e+01 1.2420552221174024e+07 1.2419264698812360e+07 1.2417066377369260e+07 1.2414053942386400e+07 1.2410747425341226e+07 1.2408048451202342e+07 1.2406398015152417e+07 1.2405084843564572e+07 1.2403316108328849e+07 1.2400831829505850e+07 1.2397603714027641e+07 1.2393524599791918e+07 1.2388435203451334e+07 1.2382161526637584e+07 1.2374512801662968e+07 1.2365261986267095e+07 1.2354136151726816e+07 1.2340814644547652e+07 1.2324922753117921e+07 1.2306022007658297e+07 1.2283601890402166e+07 1.2257060370640485e+07 1.2225587130568204e+07 1.2187791611362608e+07 1.2142074333354983e+07 1.2087645243956311e+07 1.2023747150418097e+07 1.1949132126686713e+07 1.1862268564700006e+07 1.1761449360790428e+07 1.1644819051128691e+07 1.1510396041728426e+07 1.1356108893914001e+07 1.1179851849955980e+07 1.0979564804603968e+07 1.0753338998954255e+07 1.0499554119635306e+07 1.0217043737902803e+07 9.9052866204713266e+06 9.5646090536989830e+06 9.1679169649409708e+06 8.7427049988093525e+06 8.2939840620236294e+06 7.8284776278151572e+06 7.3543762425103160e+06 6.8808594079009518e+06 6.4174147727572024e+06 5.9730396508341804e+06 5.5554603021624377e+06 5.1704789155283663e+06 4.8216197442353833e+06 4.5101850382297095e+06 4.2355565263194991e+06 3.9954276364059988e+06 3.7865366762583172e+06 3.6052752399954409e+06 3.4479852726907474e+06 3.3113133000863842e+06 3.1922859673766522e+06 3.0884730957953106e+06 2.9977649154976578e+06 2.9185353452207167e+06 2.8493296678233137e+06 2.7890976994005241e+06 2.7368267545500002e+06 2.6916774355192576e+06 2.6529962279136451e+06 2.6201083538203016e+06 2.5923616325068381e+06 2.5692738884229800e+06 2.5502567416626127e+06 2.5348656805219692e+06 2.5225977563509657e+06 2.5130104820436738e+06 2.5055108913823823e+06 2.4995258496330115e+06 2.4946161923891278e+06 2.4903715274349051e+06 2.4863989036331410e+06 2.4835983867018805e+06 2.4807740494354735e+06 2.4778936971728560e+06 2.4748773566883351e+06 2.4717658509798222e+06 2.4684709112924496e+06 2.4650969612898827e+06 2.4613523007917097e+06 2.4573446774469805e+06 2.4530003375529158e+06 2.4482616882421905e+06 2.4430587450184324e+06 2.4373126685909647e+06 2.4309114768883702e+06 2.4238626748465090e+06 2.4159077208786868e+06 2.4069887740817722e+06 2.3969764164568838e+06 2.3857313745958791e+06 2.3731100218401114e+06 2.3589682959972601e+06 2.3431481127516441e+06 2.3256657958973744e+06 2.3062227076046253e+06 2.2848825619357191e+06 2.2616947299345518e+06 2.2368410926953261e+06 2.2106311066011554e+06 2.1836537850077539e+06 2.1567867566684578e+06 2.1314608821855276e+06 2.1094875112311728e+06 2.0936907357677270e+06 2.0880094692137428e+06 2.0981646052542254e+06 2.1324847109556901e+06 2.2035905288968650e+06 2.3314617905848688e+06 2.5497556631646366e+06 3.0686605836961995e+05 +1.4885728576192855e+01 1.2381160587637909e+07 1.2379877096084217e+07 1.2377685641456628e+07 1.2374682516540123e+07 1.2371386033684079e+07 1.2368694878107723e+07 1.2367048648063725e+07 1.2365738359671613e+07 1.2363973679138415e+07 1.2361495390407080e+07 1.2358275216138927e+07 1.2354206266297810e+07 1.2349129681593768e+07 1.2342871920070998e+07 1.2335242707963403e+07 1.2326015596418748e+07 1.2314918369667452e+07 1.2301631209867587e+07 1.2285780382487850e+07 1.2266928565542709e+07 1.2244566579988735e+07 1.2218093980523158e+07 1.2186702601475723e+07 1.2149005577033838e+07 1.2103407611328850e+07 1.2049120752799813e+07 1.1985389939816155e+07 1.1910970692275986e+07 1.1824335635196583e+07 1.1723782437729344e+07 1.1607460905276472e+07 1.1473395182058357e+07 1.1319519976776844e+07 1.1143735981896961e+07 1.0943989675257210e+07 1.0718378773799306e+07 1.0465288998352241e+07 1.0183559082689354e+07 9.8726715500145387e+06 9.5329544243758302e+06 9.1373944203905575e+06 8.7134127777894773e+06 8.2660096769119445e+06 7.8018922468838859e+06 7.3292292479515094e+06 6.8571738687547557e+06 6.3951846128555229e+06 5.9522291524344003e+06 5.5360062301727701e+06 5.1522951951261032e+06 4.8046039529634025e+06 4.4942254136778936e+06 4.2205386216854500e+06 3.9812407333585587e+06 3.7730779273455692e+06 3.5924517670264030e+06 3.4357151691488978e+06 3.2995252286481233e+06 3.1809183195484094e+06 3.0774724030944631e+06 2.9870849406670951e+06 2.9081354871385004e+06 2.8391744364841040e+06 2.7791553054465293e+06 2.7270690058034277e+06 2.6820791274995776e+06 2.6435344791666213e+06 2.6107626921635093e+06 2.5831139088573507e+06 2.5601076653622799e+06 2.5411576780329864e+06 2.5258210012568478e+06 2.5135964651089665e+06 2.5040431368639693e+06 2.4965701392287333e+06 2.4906063607678162e+06 2.4857141749102729e+06 2.4814846329604373e+06 2.4775261763273655e+06 2.4747356510455054e+06 2.4719213918108926e+06 2.4690513180605047e+06 2.4660457415793948e+06 2.4629453395427433e+06 2.4596621593796080e+06 2.4563002458765693e+06 2.4525689484801944e+06 2.4485756266118265e+06 2.4442467897618348e+06 2.4395250505782464e+06 2.4343406743075210e+06 2.4286151029963098e+06 2.4222367554117455e+06 2.4152131035844013e+06 2.4072865370925940e+06 2.3983994177743574e+06 2.3884227894568420e+06 2.3772178757306742e+06 2.3646415624724957e+06 2.3505503015767797e+06 2.3347865740472605e+06 2.3173666395319197e+06 2.2979929341400261e+06 2.2767289410385336e+06 2.2536238550955397e+06 2.2288589083637134e+06 2.2027424529335713e+06 2.1758614002631544e+06 2.1490902483782573e+06 2.1238547464302746e+06 2.1019597878414420e+06 2.0862193835285818e+06 2.0805583919228115e+06 2.0906772895433488e+06 2.1248749234079355e+06 2.1957269994247565e+06 2.3231419529039986e+06 2.5406568376830211e+06 3.0565117342396028e+05 +1.4890696898967114e+01 1.2341885819976928e+07 1.2340606346360287e+07 1.2338421733619673e+07 1.2335427892983634e+07 1.2332141415749600e+07 1.2329458057933109e+07 1.2327816024785556e+07 1.2326508615551200e+07 1.2324747982961990e+07 1.2322275672983777e+07 1.2319063424193688e+07 1.2315004618051481e+07 1.2309940818336420e+07 1.2303698938463278e+07 1.2296089197538067e+07 1.2286885738772258e+07 1.2275817057736509e+07 1.2262564170432093e+07 1.2246754317205712e+07 1.2227951321311360e+07 1.2205647339441869e+07 1.2179243508132052e+07 1.2147933808905147e+07 1.2110335060522852e+07 1.2064856141627988e+07 1.2010711196911940e+07 1.1947147290627671e+07 1.1872923380325684e+07 1.1786516313905409e+07 1.1686228521701707e+07 1.1570215065215720e+07 1.1436505812235879e+07 1.1283041602711957e+07 1.1107729561716918e+07 1.0908522731406426e+07 1.0683525284966808e+07 1.0431128957603300e+07 1.0150177626449386e+07 9.8401575538627412e+06 9.5013984877332021e+06 9.1069677134968024e+06 8.6842132321284451e+06 8.2381245099517927e+06 7.7753923602800062e+06 7.3041638031674735e+06 6.8335657773518292e+06 6.3730277189966738e+06 5.9314877456667945e+06 5.5166171713247634e+06 5.1341725868432522e+06 4.7876456170300655e+06 4.4783198797190692e+06 4.2055717621442517e+06 3.9671021539803282e+06 3.7596650932719777e+06 3.5796720909542278e+06 3.4234870071477857e+06 3.2877774762414992e+06 3.1695895720060221e+06 3.0665093705019983e+06 2.9764415411554058e+06 2.8977712566138357e+06 2.8290540049749254e+06 2.7692469912730125e+06 2.7173447123004580e+06 2.6725137355426331e+06 2.6341051847884627e+06 2.6014490924316761e+06 2.5738979160149274e+06 2.5509728975008419e+06 2.5320898423443427e+06 2.5168073657536861e+06 2.5046260704988129e+06 2.4951065730224145e+06 2.4876600779093537e+06 2.4817174901835509e+06 2.4768427159604379e+06 2.4726282452151310e+06 2.4686839071589787e+06 2.4659033392352061e+06 2.4630991234407825e+06 2.4602392929178467e+06 2.4572444434914622e+06 2.4541551070075417e+06 2.4508836459948733e+06 2.4475337276881132e+06 2.4438157475194614e+06 2.4398366780324169e+06 2.4355232910053851e+06 2.4308184039008361e+06 2.4256525308451685e+06 2.4199473942590454e+06 2.4135918123680460e+06 2.4065932244345476e+06 2.3986949479710311e+06 2.3898395468739034e+06 2.3798985252124858e+06 2.3687336018694751e+06 2.3562021734967860e+06 2.3421612043118919e+06 2.3264537386910063e+06 2.3090959723848770e+06 2.2897914117175601e+06 2.2686033097682861e+06 2.2455806858317852e+06 2.2209041251527276e+06 2.1948808793139504e+06 2.1680957650973829e+06 2.1414201605384247e+06 2.1162747209079633e+06 2.0944579055119953e+06 2.0787736788375839e+06 2.0731328925732712e+06 2.0832156761727901e+06 2.1172912586209993e+06 2.1878904637555256e+06 2.3148506754273088e+06 2.5315892465221263e+06 3.0444099647631845e+05 +1.4895665221741373e+01 1.2302727596826790e+07 1.2301452106718514e+07 1.2299274339027053e+07 1.2296289758886017e+07 1.2293013258371107e+07 1.2290337677513422e+07 1.2288699832174605e+07 1.2287395298035689e+07 1.2285638706669258e+07 1.2283172364100795e+07 1.2279968025075067e+07 1.2275919341946598e+07 1.2270868300607245e+07 1.2264642268804830e+07 1.2257051957419930e+07 1.2247872100416215e+07 1.2236831903124105e+07 1.2223613213545110e+07 1.2207844244712263e+07 1.2189089962576263e+07 1.2166843856570836e+07 1.2140508641489297e+07 1.2109280441151008e+07 1.2071779750469057e+07 1.2026419613274660e+07 1.1972416265834268e+07 1.1909018892981566e+07 1.1834989881653860e+07 1.1748810292455677e+07 1.1648787305297337e+07 1.1533081224684710e+07 1.1399727627347372e+07 1.1246673468366392e+07 1.1071832287891725e+07 1.0873163673680410e+07 1.0648778235621462e+07 1.0397073703508794e+07 1.0116899078713104e+07 9.8077443455268703e+06 9.4699409618637171e+06 9.0766365680087153e+06 8.6551060920733064e+06 8.2103282987383762e+06 7.7489777138188994e+06 7.2791796630271347e+06 6.8100348983280491e+06 6.3509438661479587e+06 5.9108152162076104e+06 5.4972929221244808e+06 5.1161108978765095e+06 4.7707445539479973e+06 4.4624682636136850e+06 4.1906557839771775e+06 3.9530117427698351e+06 3.7462980259171468e+06 3.5669360702374894e+06 3.4113006509509366e+06 3.2760699122368004e+06 3.1582995986086656e+06 3.0555838758142567e+06 2.9658345982092270e+06 2.8874425379113201e+06 2.8189682601937042e+06 2.7593726460752646e+06 2.7076537652166858e+06 2.6629811525463141e+06 2.6247082391480641e+06 2.5921674502435178e+06 2.5647135506499819e+06 2.5418694823910091e+06 2.5230531328746937e+06 2.5078246728760200e+06 2.4956864718586649e+06 2.4862006902239998e+06 2.4787806074218587e+06 2.4728591381091755e+06 2.4680017159660938e+06 2.4638022647905280e+06 2.4598719968800959e+06 2.4571013521371954e+06 2.4543071453026240e+06 2.4514575228383308e+06 2.4484733636331023e+06 2.4453950547098368e+06 2.4421352726041791e+06 2.4387973083243216e+06 2.4350925996584147e+06 2.4311277336187265e+06 2.4268297433685460e+06 2.4221416504819193e+06 2.4169942171116890e+06 2.4113094450885435e+06 2.4049765507218507e+06 2.3980029406460677e+06 2.3901328570797481e+06 2.3813090652994541e+06 2.3714035280415327e+06 2.3602784577790345e+06 2.3477917601830903e+06 2.3338009100398617e+06 2.3181495131535092e+06 2.3008537016243790e+06 2.2816180482795630e+06 2.2605055769175389e+06 2.2375651318638073e+06 2.2129766537714819e+06 2.1870462975017810e+06 2.1603567923421878e+06 2.1337764070535493e+06 2.1087207205362283e+06 2.0869817800376844e+06 2.0713535381206893e+06 2.0657328878192813e+06 2.0757796813899258e+06 2.1097336314699817e+06 2.1800808339283760e+06 2.3065878650900256e+06 2.5225527879057932e+06 3.0323550976097980e+05 +1.4900633544515632e+01 1.2263685628653336e+07 1.2262414086527301e+07 1.2260243145800326e+07 1.2257267802137390e+07 1.2254001249110626e+07 1.2251333424389604e+07 1.2249699757782739e+07 1.2248398094708098e+07 1.2246645537794054e+07 1.2244185151302472e+07 1.2240988706365732e+07 1.2236950125591408e+07 1.2231911816043662e+07 1.2225701598775899e+07 1.2218130675349979e+07 1.2208974369169841e+07 1.2197962593744399e+07 1.2184778027210569e+07 1.2169049853141921e+07 1.2150344177636841e+07 1.2128155819865944e+07 1.2101889069329457e+07 1.2070742187228410e+07 1.2033339336201448e+07 1.1988097716041123e+07 1.1934235649810290e+07 1.1871004437707331e+07 1.1797169887769261e+07 1.1711217263192732e+07 1.1611458481824780e+07 1.1496059078095347e+07 1.1363060323135303e+07 1.1210415271057185e+07 1.1036043859604383e+07 1.0837912203441001e+07 1.0614137329635989e+07 1.0363122942872042e+07 1.0083723149729539e+07 9.7754316392337475e+06 9.4385815655563511e+06 9.0464007083768602e+06 8.6260910885477290e+06 8.1826207815463552e+06 7.7226480539882872e+06 7.2542765830428880e+06 6.7865809969512578e+06 6.3289328299035644e+06 5.8902113503271248e+06 5.4780332796436399e+06 5.0981099359684139e+06 4.7539005817572344e+06 4.4466703931328394e+06 4.1757905239548860e+06 3.9389693446876700e+06 3.7329765776080177e+06 3.5542435637482535e+06 3.3991559652295196e+06 3.2644024063951485e+06 3.1470482735981969e+06 3.0446957971954653e+06 2.9552639934261511e+06 2.8771492156382008e+06 2.8089170893826867e+06 2.7495321593755889e+06 2.6979960560624828e+06 2.6534812717296518e+06 2.6153435369285601e+06 2.5829176615280723e+06 2.5555607097458001e+06 2.5327973178905412e+06 2.5140474482054217e+06 2.4988728217936987e+06 2.4867775688245064e+06 2.4773253884768076e+06 2.4699316280647223e+06 2.4640312050795872e+06 2.4591910756525933e+06 2.4550065925788111e+06 2.4510903465380673e+06 2.4483295909105879e+06 2.4455453586685504e+06 2.4427059092077417e+06 2.4397324035156569e+06 2.4366650842818297e+06 2.4334169409714416e+06 2.4300908896856839e+06 2.4263994069459774e+06 2.4224486955781979e+06 2.4181660492315120e+06 2.4134946928911288e+06 2.4083656358846165e+06 2.4027011584911174e+06 2.3963908737338777e+06 2.3894421557555958e+06 2.3816001682718438e+06 2.3728078772632526e+06 2.3629377025552415e+06 2.3518523485184549e+06 2.3394102280940716e+06 2.3254693248806684e+06 2.3098738041841052e+06 2.2926397346958779e+06 2.2734727520474992e+06 2.2524356515567428e+06 2.2295771031858879e+06 2.2050764052060302e+06 2.1792386195224319e+06 2.1526443951009302e+06 2.1261589020945807e+06 2.1011926604923904e+06 2.0795313274670013e+06 2.0639588780558561e+06 2.0583582945665640e+06 2.0683692216952110e+06 2.1022019570929692e+06 2.1722980222508195e+06 2.2983534291084171e+06 2.5135473603612096e+06 3.0203469557700946e+05 +1.4905601867289890e+01 1.2224759600314096e+07 1.2223491994637344e+07 1.2221327844764652e+07 1.2218361711123118e+07 1.2215105076212926e+07 1.2212444986819357e+07 1.2210815489871273e+07 1.2209516693795260e+07 1.2207768164618798e+07 1.2205313722870652e+07 1.2202125156329321e+07 1.2198096657295931e+07 1.2193071052972084e+07 1.2186876616737910e+07 1.2179325039760798e+07 1.2170192233532611e+07 1.2159208818191892e+07 1.2146058300137108e+07 1.2130370831342874e+07 1.2111713655502878e+07 1.2089582918520898e+07 1.2063384481078377e+07 1.2032318736840477e+07 1.1995013507767409e+07 1.1949890140376776e+07 1.1896169039793167e+07 1.1833103616331207e+07 1.1759463090910094e+07 1.1673736919145433e+07 1.1574241745275009e+07 1.1459148320599573e+07 1.1326503596081495e+07 1.1174266708836298e+07 1.1000363976735810e+07 1.0802768022705169e+07 1.0579602271566199e+07 1.0329276383221433e+07 1.0050649550433649e+07 9.7432191498833895e+06 9.4073200182921812e+06 9.0162598597251661e+06 8.5971679531655423e+06 8.1550016973234434e+06 7.6964031279255310e+06 7.2294543193779923e+06 6.7632038391190218e+06 6.3069943864615988e+06 5.8696759348967886e+06 5.4588380415298007e+06 5.0801695094165094e+06 4.7371135190305961e+06 4.4309260965407481e+06 4.1609758193171327e+06 3.9249748051535930e+06 3.7197006011076742e+06 3.5415944307838720e+06 3.3870528150440161e+06 3.2527748288738295e+06 3.1358354715886991e+06 3.0338450131731667e+06 2.9447296087701325e+06 2.8668911747551137e+06 2.7989003801160050e+06 2.7397254210290620e+06 2.6883714766740408e+06 2.6440139866342368e+06 2.6060109731357698e+06 2.5736996225350164e+06 2.5464392906012908e+06 2.5237563021695744e+06 2.5050726872266117e+06 2.4899517119816523e+06 2.4778992613393236e+06 2.4684805680927476e+06 2.4611130404355363e+06 2.4552335919261579e+06 2.4504106960449019e+06 2.4462411297746706e+06 2.4423388574864492e+06 2.4395879570163307e+06 2.4368136651110626e+06 2.4339843537165625e+06 2.4310214649446495e+06 2.4279650976554230e+06 2.4247285531593212e+06 2.4214143739651376e+06 2.4177360717265327e+06 2.4137994664132851e+06 2.4095321112688812e+06 2.4048774339903933e+06 2.3997666902319738e+06 2.3941224377637594e+06 2.3878346849549254e+06 2.3809107735947128e+06 2.3730967856935747e+06 2.3643358872643742e+06 2.3545009536489658e+06 2.3434551794286016e+06 2.3310574830725887e+06 2.3171663552445848e+06 2.3016265188183771e+06 2.2844539793277741e+06 2.2653554315185156e+06 2.2443934430338670e+06 2.2216165100621753e+06 2.1972032907072734e+06 2.1714577576658558e+06 2.1449584867325053e+06 2.1185675600869660e+06 2.0936904562068323e+06 2.0721064641051339e+06 2.0565896155747739e+06 2.0510090299706589e+06 2.0609842138430211e+06 2.0946961508816816e+06 2.1645419412910710e+06 2.2901472749823849e+06 2.5045728627275191e+06 3.0083853628802719e+05 +1.4910570190064149e+01 1.2185949149974659e+07 1.2184685531612046e+07 1.2182528126175888e+07 1.2179571174565403e+07 1.2176324428585181e+07 1.2173672053757118e+07 1.2172046717390640e+07 1.2170750784265634e+07 1.2169006276082652e+07 1.2166557767766694e+07 1.2163377063968608e+07 1.2159358626061222e+07 1.2154345700446853e+07 1.2148167011790130e+07 1.2140634739798782e+07 1.2131525382728832e+07 1.2120570265764995e+07 1.2107453721744670e+07 1.2091806868865363e+07 1.2073198085871764e+07 1.2051124842436053e+07 1.2024994566866962e+07 1.1994009780399671e+07 1.1956801955911810e+07 1.1911796577426024e+07 1.1858216127416778e+07 1.1795316121087816e+07 1.1721869183984244e+07 1.1636368954065956e+07 1.1537136790347593e+07 1.1422348648027509e+07 1.1290057143350309e+07 1.1138227480437098e+07 1.0964792339863673e+07 1.0767730834230367e+07 1.0545172766688043e+07 1.0295533732752260e+07 1.0017677992473224e+07 9.7111065930860601e+06 9.3761560402428489e+06 8.9862137478890773e+06 8.5683364182185903e+06 8.1274707856916916e+06 7.6702426834387090e+06 7.2047126288394947e+06 6.7399031913662218e+06 6.2851283126504496e+06 5.8492087573751770e+06 5.4397070060141673e+06 5.0622894270638265e+06 4.7203831848656936e+06 4.4152352026138054e+06 4.1462115077930847e+06 3.9110279700404806e+06 3.7064699496123740e+06 3.5289885310630552e+06 3.3749910658744290e+06 3.2411870502129472e+06 3.1246610675737532e+06 3.0230314026450380e+06 2.9342313265511137e+06 2.8566683005643231e+06 2.7889180203089165e+06 2.7299523212309475e+06 2.6787799192112624e+06 2.6345791911276034e+06 2.5967104430908877e+06 2.5645132298225267e+06 2.5373491908192346e+06 2.5147463337046648e+06 2.4961287491352321e+06 2.4810612432176666e+06 2.4690514496504809e+06 2.4596661296834159e+06 2.4523247454383224e+06 2.4464661997803142e+06 2.4416604784677541e+06 2.4375057778674122e+06 2.4336174313725373e+06 2.4308763522149683e+06 2.4281119665031978e+06 2.4252927583466661e+06 2.4223404500246085e+06 2.4192949970560679e+06 2.4160700115239806e+06 2.4127676636535539e+06 2.4091024966369867e+06 2.4051799489217643e+06 2.4009278324503419e+06 2.3962897769365082e+06 2.3911972835136163e+06 2.3855731864942322e+06 2.3793078882269976e+06 2.3724086982859154e+06 2.3646226137835402e+06 2.3558930000933437e+06 2.3460931865115752e+06 2.3350868561406992e+06 2.3227334312481130e+06 2.3088919078143211e+06 2.2934075643689102e+06 2.2762963435250358e+06 2.2572659954704521e+06 2.2363788609648175e+06 2.2136832630291847e+06 2.1893572217915612e+06 2.1637036244888254e+06 2.1372989808596186e+06 2.1110022957160263e+06 2.0862140233681712e+06 2.0647071065092932e+06 2.0492456678592623e+06 2.0436850114374543e+06 2.0536245748367861e+06 2.0872161284825946e+06 2.1568125038838089e+06 2.2819693104862818e+06 2.4956291941420413e+06 2.9964701432198274e+05 +1.4915538512838408e+01 1.2147253975222807e+07 1.2145994342868626e+07 1.2143843677813992e+07 1.2140895881481173e+07 1.2137658995780429e+07 1.2135014314851006e+07 1.2133393130016668e+07 1.2132100055763260e+07 1.2130359561855225e+07 1.2127916975631902e+07 1.2124744118953204e+07 1.2120735721591536e+07 1.2115735448200904e+07 1.2109572473709131e+07 1.2102059465299370e+07 1.2092973506662104e+07 1.2082046626471231e+07 1.2068963982136477e+07 1.2053357655947182e+07 1.2034797159144159e+07 1.2012781282212555e+07 1.1986719017509196e+07 1.1955815008999867e+07 1.1918704372087449e+07 1.1873816719056657e+07 1.1820376605039706e+07 1.1757641644909443e+07 1.1684387860620873e+07 1.1599113062373001e+07 1.1500143312454814e+07 1.1385659756906955e+07 1.1253720662816070e+07 1.1102297285298569e+07 1.0929328650268396e+07 1.0732800341445617e+07 1.0510848520955736e+07 1.0261894700390542e+07 9.9848081881804895e+06 9.6790936851390153e+06 9.3450893522836845e+06 8.9562620993737113e+06 8.5395962166808788e+06 8.1000277869348368e+06 7.6441664690086385e+06 7.1800512688892502e+06 6.7166788208658816e+06 6.2633343858988425e+06 5.8288096058266200e+06 5.4206399718880206e+06 5.0444694983075233e+06 4.7037093988742437e+06 4.3995975406217184e+06 4.1314974275848255e+06 3.8971286856800006e+06 3.6932844767592540e+06 3.5164257247163169e+06 3.3629705835949848e+06 3.2296389413410588e+06 3.1135249369215458e+06 3.0122548448666702e+06 2.9237690294396770e+06 2.8464804787135930e+06 2.7789698982183314e+06 2.7202127504973426e+06 2.6692212761599785e+06 2.6251767793892696e+06 2.5874418424316063e+06 2.5553583802648699e+06 2.5282903083159919e+06 2.5057673112786058e+06 2.4872155334299416e+06 2.4722013155835043e+06 2.4602340343047814e+06 2.4508819741589278e+06 2.4435666442716243e+06 2.4377289300749069e+06 2.4329403245454691e+06 2.4288004386500139e+06 2.4249259701407799e+06 2.4221946785630849e+06 2.4194401650126632e+06 2.4166310253818622e+06 2.4136892611548952e+06 2.4106546850077128e+06 2.4074412187186973e+06 2.4041506615380440e+06 2.4004985846122080e+06 2.3965900461938409e+06 2.3923531160376528e+06 2.3877316251797248e+06 2.3826573193889596e+06 2.3770533085672907e+06 2.3708103876863844e+06 2.3639358342409404e+06 2.3561775572653008e+06 2.3474791208270593e+06 2.3377143066123920e+06 2.3267472845715904e+06 2.3144379790330036e+06 2.3006458895668839e+06 2.2852168484343383e+06 2.2681667355736927e+06 2.2492043529506326e+06 2.2283918152426612e+06 2.2057772728922078e+06 2.1815381102496334e+06 2.1559761328121251e+06 2.1296657913671555e+06 2.1034630239290730e+06 2.0787632779197069e+06 2.0573331714879682e+06 2.0419269523420488e+06 2.0363861566243826e+06 2.0462902219345905e+06 2.0797618058005164e+06 2.1491096231289236e+06 2.2738194436774151e+06 2.4867162540541929e+06 2.9846011217093182e+05 +1.4920506835612667e+01 1.2108673804228995e+07 1.2107418102733228e+07 1.2105274187612481e+07 1.2102335521321921e+07 1.2099108468002498e+07 1.2096471460457373e+07 1.2094854418107100e+07 1.2093564198652526e+07 1.2091827712280756e+07 1.2089391036842590e+07 1.2086226011666520e+07 1.2082227634283951e+07 1.2077239986660613e+07 1.2071092692976793e+07 1.2063598906794189e+07 1.2054536295940941e+07 1.2043637591001511e+07 1.2030588772126859e+07 1.2015022883539287e+07 1.1996510566432005e+07 1.1974551929134849e+07 1.1948557524555642e+07 1.1917734114452183e+07 1.1880720448429031e+07 1.1835950257822420e+07 1.1782650165708961e+07 1.1720079881426770e+07 1.1647018815144323e+07 1.1561968939224903e+07 1.1463261007688966e+07 1.1349081344481895e+07 1.1217493853050066e+07 1.1066475823560709e+07 1.0893972609936129e+07 1.0697976248496639e+07 1.0476629241042992e+07 1.0228358995746149e+07 9.9520398505772017e+06 9.6471801430395525e+06 9.3141196759655066e+06 8.9264046413736977e+06 8.5109470822029468e+06 8.0726724420232950e+06 7.6181742337584579e+06 7.1554699976434987e+06 6.6935304954145923e+06 6.2416123842607653e+06 5.8084782688970594e+06 5.4016367385144364e+06 5.0267095330868457e+06 4.6870919812074509e+06 4.3840129403349245e+06 4.1168334173696581e+06 3.8832767988613169e+06 3.6801440366181689e+06 3.5039058722918481e+06 3.3509912344861659e+06 3.2181303735772464e+06 3.1024269553742837e+06 3.0015152194626695e+06 2.9133426004561647e+06 2.8363275951970643e+06 2.7690559024354536e+06 2.7105065996804577e+06 2.6596954403339438e+06 2.6158066459252266e+06 2.5782050671086628e+06 2.5462349710456938e+06 2.5192625413155891e+06 2.4968191339810076e+06 2.4783329399136831e+06 2.4633718294639192e+06 2.4514469161469312e+06 2.4421280027328348e+06 2.4348386384349563e+06 2.4290216845429568e+06 2.4242501361973090e+06 2.4201250142046390e+06 2.4162643760358216e+06 2.4135428384112045e+06 2.4107981630992857e+06 2.4079990573972925e+06 2.4050678010319434e+06 2.4020440643281764e+06 2.3988420776884048e+06 2.3955632706970563e+06 2.3919242388794273e+06 2.3880296616153456e+06 2.3838078655874934e+06 2.3792028824609867e+06 2.3741467018010556e+06 2.3685627081529088e+06 2.3623420877525653e+06 2.3554920861601112e+06 2.3477615211552046e+06 2.3390941548295566e+06 2.3293642197102853e+06 2.3184363709202628e+06 2.3061710331252776e+06 2.2924282077506408e+06 2.2770542788865985e+06 2.2600650640330114e+06 2.2411704132879348e+06 2.2204322160344957e+06 2.1978984507327522e+06 2.1737458681327775e+06 2.1482751957202842e+06 2.1220588324022735e+06 2.0959496599252694e+06 2.0713381360588532e+06 2.0499845761044524e+06 2.0346333867046344e+06 2.0291123834378128e+06 2.0389810726407531e+06 2.0723330989876881e+06 2.1414332123869983e+06 2.2656975828877282e+06 2.4778339422159726e+06 2.9727781239081221e+05 +1.4925475158386925e+01 1.2070208335601343e+07 1.2068956559661709e+07 1.2066819346008768e+07 1.2063889784278847e+07 1.2060672536082109e+07 1.2058043181635195e+07 1.2056430272720709e+07 1.2055142903973501e+07 1.2053410418414518e+07 1.2050979642446654e+07 1.2047822433173094e+07 1.2043834055244656e+07 1.2038859006969912e+07 1.2032727360768011e+07 1.2025252755524201e+07 1.2016213441878710e+07 1.2005342850764375e+07 1.1992327783218108e+07 1.1976802243256351e+07 1.1958337999535611e+07 1.1936436475217037e+07 1.1910509780214222e+07 1.1879766789263288e+07 1.1842849877776774e+07 1.1798196886963619e+07 1.1745036503164843e+07 1.1682630524970289e+07 1.1609761742573541e+07 1.1524936280443162e+07 1.1426489572853636e+07 1.1312613108685639e+07 1.1181376413320484e+07 1.1030762796070594e+07 1.0858723921545167e+07 1.0663258260222109e+07 1.0442514634314969e+07 1.0194926329107421e+07 9.9193726934029739e+06 9.6153656844618414e+06 9.2832467335340753e+06 8.8966411017659400e+06 8.4823887491107378e+06 8.0454044925901359e+06 7.5922657274702396e+06 7.1309685738484347e+06 6.6704579834363060e+06 6.2199620863941452e+06 5.7882145358294537e+06 5.3826971058261609e+06 5.0090093418905977e+06 4.6705307525264630e+06 4.3684812320217621e+06 4.1022193163048509e+06 3.8694721568253948e+06 3.6670484836986717e+06 3.4914288347623576e+06 3.3390528852249528e+06 3.2066612186211231e+06 3.0913669990477758e+06 2.9908124064144809e+06 2.9029519229673985e+06 2.8262095363509278e+06 2.7591759218845651e+06 2.7008337599610183e+06 2.6502023048653021e+06 2.6064686855567764e+06 2.5690000133910771e+06 2.5371428996588099e+06 2.5102657883499805e+06 2.4879017012060340e+06 2.4694808686962607e+06 2.4545726855430007e+06 2.4426899963297746e+06 2.4334041169193718e+06 2.4261406297270562e+06 2.4203443652095213e+06 2.4155898156430079e+06 2.4114794069203478e+06 2.4076325515956851e+06 2.4049207344105896e+06 2.4021858635256146e+06 2.3993967572640702e+06 2.3964759726448571e+06 2.3934630381273911e+06 2.3902724916795199e+06 2.3870053945037052e+06 2.3833793629574734e+06 2.3794986988631776e+06 2.3752919849476716e+06 2.3707034528147951e+06 2.3656653349894802e+06 2.3601012897140612e+06 2.3539028931448925e+06 2.3470773590330938e+06 2.3393744107523100e+06 2.3307380077514835e+06 2.3210428318511783e+06 2.3101540216728980e+06 2.2979325005040779e+06 2.2842387698997846e+06 2.2689197638792559e+06 2.2519912377429483e+06 2.2331640860838499e+06 2.2124999737768793e+06 2.1900467078926228e+06 2.1659804077645987e+06 2.1406007265637224e+06 2.1144780183683122e+06 2.0884621191646657e+06 2.0639385142363147e+06 2.0426612376692165e+06 2.0273648888805497e+06 2.0218636100304683e+06 2.0316970447142031e+06 2.0649299244602439e+06 2.1337831852808050e+06 2.2576036367310919e+06 2.4689821586801209e+06 2.9610009760122193e+05 +1.4930443481161184e+01 1.2031857255857326e+07 1.2030609380523888e+07 1.2028478844671616e+07 1.2025558361498814e+07 1.2022350891529737e+07 1.2019729170131830e+07 1.2018120385632252e+07 1.2016835863464372e+07 1.2015107372010991e+07 1.2012682484201681e+07 1.2009533075259499e+07 1.2005554676266903e+07 1.2000592200950822e+07 1.1994476168945398e+07 1.1987020703414446e+07 1.1978004636475002e+07 1.1967162097837189e+07 1.1954180707611788e+07 1.1938695427467691e+07 1.1920279150958011e+07 1.1898434613134690e+07 1.1872575477420572e+07 1.1841912726624150e+07 1.1805092353670182e+07 1.1760556300438520e+07 1.1707535311850328e+07 1.1645293270565387e+07 1.1572616338626606e+07 1.1488014782580905e+07 1.1389828705444848e+07 1.1276254748159038e+07 1.1145368043588977e+07 1.0995157904345106e+07 1.0823582288474919e+07 1.0628646082157152e+07 1.0408504408821659e+07 1.0161596411486587e+07 9.8868064310679566e+06 9.5836500277945064e+06 9.2524702479274012e+06 8.8669712091189045e+06 8.4539209524217993e+06 8.0182236809290387e+06 7.5664407005913854e+06 7.1065467568949051e+06 6.6474610539920405e+06 6.1983832715645432e+06 5.7680181964595383e+06 5.3638208743316568e+06 4.9913687357518105e+06 4.6540255340162646e+06 4.3530022464497490e+06 4.0876549640172282e+06 3.8557146072637592e+06 3.6539976729366835e+06 3.4789944735067375e+06 3.3271554028829080e+06 3.1952313485630117e+06 3.0803449444280341e+06 2.9801462860662071e+06 2.8925968807052905e+06 2.8161261888556872e+06 2.7493298458279772e+06 2.6911941228472958e+06 2.6407417632136741e+06 2.5971627934246557e+06 2.5598265778583498e+06 2.5280820639110119e+06 2.5012999482571068e+06 2.4790149126547440e+06 2.4606592201849557e+06 2.4458037848086408e+06 2.4339631762968828e+06 2.4247102185263047e+06 2.4174725202418473e+06 2.4116968744003866e+06 2.4069592653954537e+06 2.4028635194725590e+06 2.3990303996532834e+06 2.3963282695007967e+06 2.3936031693440909e+06 2.3908240281500183e+06 2.3879136792791053e+06 2.3849115098139942e+06 2.3817323642217093e+06 2.3784769366267375e+06 2.3748638606600440e+06 2.3709970619067722e+06 2.3668053782571154e+06 2.3622332405628455e+06 2.3572131234806273e+06 2.3516689580041394e+06 2.3454927088606050e+06 2.3386915581384203e+06 2.3310161316477908e+06 2.3224105855309805e+06 2.3127500493597090e+06 2.3019001435953206e+06 2.2897222884292300e+06 2.2760774838293935e+06 2.2608132118437705e+06 2.2439451658189599e+06 2.2251852812093021e+06 2.2045949991786107e+06 2.1822219559899368e+06 2.1582416417280631e+06 2.1329526389491754e+06 2.1069232639320805e+06 2.0810003173604026e+06 2.0565643291567487e+06 2.0353630737460714e+06 2.0201213770478955e+06 2.0146397548058920e+06 2.0244380561573945e+06 2.0575521988799446e+06 2.1261594556989330e+06 2.2495375140935769e+06 2.4601608038058742e+06 2.9492695048519707e+05 +1.4935411803935443e+01 1.1993620203626405e+07 1.1992376250132676e+07 1.1990252375333030e+07 1.1987340945258705e+07 1.1984143226525702e+07 1.1981529118400889e+07 1.1979924449287698e+07 1.1978642769561740e+07 1.1976918265506851e+07 1.1974499254558010e+07 1.1971357630369907e+07 1.1967389189840857e+07 1.1962439261124671e+07 1.1956338810095355e+07 1.1948902443096425e+07 1.1939909572422270e+07 1.1929095025006836e+07 1.1916147238207009e+07 1.1900702129189922e+07 1.1882333713887012e+07 1.1860546036285494e+07 1.1834754309785767e+07 1.1804171620441038e+07 1.1767447570336441e+07 1.1723028192892306e+07 1.1670146286908658e+07 1.1608067813937217e+07 1.1535582299723508e+07 1.1451204142850893e+07 1.1353278103655927e+07 1.1240005962210275e+07 1.1109468444529025e+07 1.0959660850637536e+07 1.0788547414794784e+07 1.0594139420526249e+07 1.0374598273314325e+07 1.0128368954576794e+07 9.8543407786831204e+06 9.5520328920955937e+06 9.2217899427566975e+06 8.8373946926612910e+06 8.4255434277961999e+06 7.9911297500083940e+06 7.5406989042297313e+06 7.0822043068378186e+06 6.6245394767650412e+06 6.1768757196603036e+06 5.7478890412022630e+06 5.3450078450968117e+06 4.9737875262395879e+06 4.6375761473788442e+06 4.3375758148806421e+06 4.0731402006065743e+06 3.8420039983194931e+06 3.6409914597016415e+06 3.4666026503239409e+06 3.3152986549411798e+06 3.1838406358710467e+06 3.0693606683743494e+06 2.9695167391224536e+06 2.8822773577383417e+06 2.8060774397296426e+06 2.7395175638625207e+06 2.6815875801742054e+06 2.6313137091564960e+06 2.5878888649842278e+06 2.5506846574056675e+06 2.5190523619173029e+06 2.4923649201816828e+06 2.4701586683275541e+06 2.4518678950917101e+06 2.4370650285460744e+06 2.4252663577975165e+06 2.4160462096601338e+06 2.4088342123707011e+06 2.4030791147346930e+06 2.3983583882656819e+06 2.3942772548344424e+06 2.3904578233384839e+06 2.3877653469223096e+06 2.3850499839010611e+06 2.3822807735145679e+06 2.3793808245089306e+06 2.3763893830843489e+06 2.3732215991431419e+06 2.3699778010212821e+06 2.3663776360897459e+06 2.3625246550049963e+06 2.3583479499415033e+06 2.3537921503235651e+06 2.3487899720902946e+06 2.3432656180623882e+06 2.3371114401930547e+06 2.3303345890406072e+06 2.3226865897122617e+06 2.3141117943912768e+06 2.3044857788490648e+06 2.2936746437380831e+06 2.2815403044436923e+06 2.2679442576307808e+06 2.2527345314911786e+06 2.2359267576508527e+06 2.2172339088159883e+06 2.1967172032182985e+06 2.1744241069038920e+06 2.1505294828752894e+06 2.1253308467503423e+06 2.0993944840133041e+06 2.0735641704848418e+06 2.0492154977756934e+06 2.0280900021478622e+06 2.0129027696364359e+06 2.0074407364143641e+06 2.0172040252281029e+06 2.0501998391650179e+06 2.1185619377849014e+06 2.2414991241420093e+06 2.4513697782516303e+06 2.9375835378899024e+05 +1.4940380126709702e+01 1.1955496930967437e+07 1.1954256854253808e+07 1.1952139630670341e+07 1.1949237228853954e+07 1.1946049233991427e+07 1.1943442719584018e+07 1.1941842156852696e+07 1.1940563315395867e+07 1.1938842792037761e+07 1.1936429646645457e+07 1.1933295791677872e+07 1.1929337289146116e+07 1.1924399880718092e+07 1.1918314977466684e+07 1.1910897667883204e+07 1.1901927943121189e+07 1.1891141325774584e+07 1.1878227068589197e+07 1.1862822042143399e+07 1.1844501382199343e+07 1.1822770438745448e+07 1.1797045971616985e+07 1.1766543165295884e+07 1.1729915222704154e+07 1.1685612259660795e+07 1.1632869124163903e+07 1.1570953851500319e+07 1.1498659322960686e+07 1.1414504059188215e+07 1.1316837466377692e+07 1.1203866450870743e+07 1.1073677317489034e+07 1.0924271337860374e+07 1.0753619005279459e+07 1.0559737982266244e+07 1.0340795937248422e+07 1.0095243670762781e+07 9.8219754520496484e+06 9.5205139971211497e+06 9.1912055423224680e+06 8.8079112823376898e+06 8.3972559115996920e+06 7.9641224434588915e+06 7.5150400901347185e+06 7.0579409843530180e+06 6.6016930220694793e+06 6.1554392111597843e+06 5.7278268610702585e+06 5.3262578197504962e+06 4.9562655254727509e+06 4.6211824148383578e+06 4.3222017690729396e+06 4.0586748666499667e+06 3.8283401785968179e+06 3.6280296997984257e+06 3.4542532274232097e+06 3.3034825092698499e+06 3.1724889534009253e+06 3.0584140481151910e+06 2.9589236466467930e+06 2.8719932384923748e+06 2.7960631763360957e+06 2.7297389659152799e+06 2.6720140241064965e+06 2.6219180367965060e+06 2.5786467960104849e+06 2.5415741492353319e+06 2.5100536920971372e+06 2.4834606035740059e+06 2.4613328685332770e+06 2.4431067944291267e+06 2.4283563183398764e+06 2.4165994428718248e+06 2.4074119927253081e+06 2.4002256088024685e+06 2.3944909891294576e+06 2.3897870873558540e+06 2.3857205162748462e+06 2.3819147260703105e+06 2.3792318702022759e+06 2.3765262108391346e+06 2.3737668971078973e+06 2.3708773122055503e+06 2.3678965619290122e+06 2.3647401005639681e+06 2.3615078919374910e+06 2.3579205936421705e+06 2.3540813827088410e+06 2.3499196047248482e+06 2.3453800869953390e+06 2.3403957859240994e+06 2.3348911752174315e+06 2.3287589927173499e+06 2.3220063575900258e+06 2.3143856911066077e+06 2.3058415408340734e+06 2.2962499272142765e+06 2.2854774294331558e+06 2.2733864563694629e+06 2.2598389996763379e+06 2.2446836318064490e+06 2.2279359229031997e+06 2.2093098793228664e+06 2.1888664971445445e+06 2.1666530727877114e+06 2.1428438443226726e+06 2.1177352640991621e+06 2.0918915937973519e+06 2.0661535947594163e+06 2.0418919373035086e+06 2.0208419409358327e+06 2.0057089853207534e+06 2.0002664737504832e+06 2.0099948704240092e+06 2.0428727624823395e+06 2.1109905459465683e+06 2.2334883763150526e+06 2.4426089829770681e+06 2.9259429032185092e+05 +1.4945348449483960e+01 1.1917487088892860e+07 1.1916250895623785e+07 1.1914140304860950e+07 1.1911246906383689e+07 1.1908068607598986e+07 1.1905469667506874e+07 1.1903873202178627e+07 1.1902597194789913e+07 1.1900880645434897e+07 1.1898473354305916e+07 1.1895347253036112e+07 1.1891398668065360e+07 1.1886473753646379e+07 1.1880404365024662e+07 1.1873006071785048e+07 1.1864059442644034e+07 1.1853300694301650e+07 1.1840419893066440e+07 1.1825054860755540e+07 1.1806781850494523e+07 1.1785107515283579e+07 1.1759450157935798e+07 1.1729027056471782e+07 1.1692495006402927e+07 1.1648308196782084e+07 1.1595703520149527e+07 1.1533951080373647e+07 1.1461847106160771e+07 1.1377914230210606e+07 1.1280506493199436e+07 1.1167835914866613e+07 1.1037994364526188e+07 1.0888989069641512e+07 1.0718796765383329e+07 1.0525441474986983e+07 1.0307097110751349e+07 1.0062220273108620e+07 9.7897101676594913e+06 9.4890930633106492e+06 9.1607167716237940e+06 8.7785207087264936e+06 8.3690581408630824e+06 7.9372015055756308e+06 7.4894640107129067e+06 7.0337565507522952e+06 6.5789214608351234e+06 6.1340735271618646e+06 5.7078314476443836e+06 5.3075706004947126e+06 4.9388025461026160e+06 4.6048441591327302e+06 4.3068799412729004e+06 4.0442588031904153e+06 3.8147229971333481e+06 3.6151122494550082e+06 3.4419460674281511e+06 3.2917068341340232e+06 3.1611761743890620e+06 3.0475049612489594e+06 2.9483668900585417e+06 2.8617444077378092e+06 2.7860832863758258e+06 2.7199939422497773e+06 2.6624733471313519e+06 2.6125546405518795e+06 2.5694364825915555e+06 2.5324949508656804e+06 2.5010859531845353e+06 2.4745868981879451e+06 2.4525374138775175e+06 2.4343758195087723e+06 2.4196775560717294e+06 2.4079623338628388e+06 2.3988074704235708e+06 2.3916466125182426e+06 2.3859324007949540e+06 2.3812452660672432e+06 2.3771932073568124e+06 2.3734010115653849e+06 2.3707277431652127e+06 2.3680317540865545e+06 2.3652823029768402e+06 2.3624030465310984e+06 2.3594329506290979e+06 2.3562877728900192e+06 2.3530671139144404e+06 2.3494926380017977e+06 2.3456671498579020e+06 2.3415202476111669e+06 2.3369969557727138e+06 2.3320304703769344e+06 2.3265455350843649e+06 2.3204352722974862e+06 2.3137067699224488e+06 2.3061133422779134e+06 2.2975997316532256e+06 2.2880424016335914e+06 2.2773084082935313e+06 2.2652606523064510e+06 2.2517616186155239e+06 2.2366604220505101e+06 2.2199725715149632e+06 2.2014131034190813e+06 2.1810427924764971e+06 2.1589087660536021e+06 2.1351846394464243e+06 2.1101658053907966e+06 2.0844145087200289e+06 2.0587685066658077e+06 2.0345935651968617e+06 2.0136188084215280e+06 1.9985399430223170e+06 1.9931168859566806e+06 2.0028105104962788e+06 2.0355708862517660e+06 2.1034451948495968e+06 2.2255051803286918e+06 2.4338783192456439e+06 2.9143474295580568e+05 +1.4950316772258219e+01 1.1879590410827555e+07 1.1878358072807200e+07 1.1876254093467144e+07 1.1873369672575336e+07 1.1870201041781187e+07 1.1867609656690858e+07 1.1866017279825604e+07 1.1864744102254547e+07 1.1863031520219207e+07 1.1860630072064314e+07 1.1857511708989978e+07 1.1853573021170596e+07 1.1848660574489463e+07 1.1842606667405669e+07 1.1835227349518036e+07 1.1826303765786452e+07 1.1815572825457865e+07 1.1802725406596566e+07 1.1787400280140042e+07 1.1769174814026829e+07 1.1747556961373014e+07 1.1721966564418659e+07 1.1691622989955632e+07 1.1655186617742587e+07 1.1611115700982880e+07 1.1558649172093455e+07 1.1497059198360911e+07 1.1425145347807365e+07 1.1341434355239319e+07 1.1244284884386176e+07 1.1131914055600585e+07 1.1002419288390912e+07 1.0853813750301896e+07 1.0684080401263438e+07 1.0491249606997600e+07 1.0273501504660491e+07 1.0029298475397222e+07 9.7575446426939853e+06 9.4577698117962964e+06 9.1303233563202098e+06 8.7492227031175569e+06 8.3409498532724017e+06 7.9103666813177001e+06 7.4639704190364629e+06 7.0096507680077879e+06 6.5562245646221237e+06 6.1127784493620079e+06 5.6879025931195198e+06 5.2889459900877997e+06 4.9213984013319211e+06 4.5885612035190733e+06 4.2916101642229389e+06 4.0298918517411472e+06 3.8011523034248562e+06 3.6022389653358920e+06 3.4296810333661539e+06 3.2799714981997516e+06 3.1499021724487883e+06 3.0366332857401227e+06 2.9378463511386602e+06 2.8515307505924702e+06 2.7761376578903636e+06 2.7102823834580807e+06 2.6529654420641880e+06 2.6032234151631282e+06 2.5602578211283945e+06 2.5234469601219087e+06 2.4921490442146366e+06 2.4657437040855484e+06 2.4437722052706191e+06 2.4256748719410091e+06 2.4110286439260612e+06 2.3993549334069942e+06 2.3902325457466017e+06 2.3830971267953850e+06 2.3774032532334225e+06 2.3727328280856069e+06 2.3686952319291560e+06 2.3649165838297950e+06 2.3622528699268466e+06 2.3595665178704546e+06 2.3568268954522298e+06 2.3539579319344037e+06 2.3509984537564530e+06 2.3478645208215066e+06 2.3446553717812896e+06 2.3410936741409944e+06 2.3372818615795746e+06 2.3331497838990395e+06 2.3286426621321500e+06 2.3236939311227370e+06 2.3182286035632496e+06 2.3121401850836864e+06 2.3054357324581426e+06 2.2978694499511975e+06 2.2893862739173658e+06 2.2798631095645125e+06 2.2691674882108918e+06 2.2571628006366012e+06 2.2437120233722138e+06 2.2286648117617271e+06 2.2120366136968737e+06 2.1935434920711382e+06 2.1732460010000463e+06 2.1511910993873319e+06 2.1275517818892919e+06 2.1026223852780676e+06 2.0769631444762070e+06 2.0514088229347104e+06 2.0273202991666908e+06 2.0064205231595819e+06 1.9913955619093799e+06 1.9859918924203166e+06 1.9956508644392414e+06 2.0282941281433492e+06 2.0959257994184678e+06 2.2175494461679482e+06 2.4251776886144308e+06 2.9027969462543767e+05 +1.4955285095032478e+01 1.1841806541805513e+07 1.1840578094714504e+07 1.1838480693170507e+07 1.1835605222595297e+07 1.1832446231736477e+07 1.1829862382346500e+07 1.1828274085013833e+07 1.1827003732997607e+07 1.1825295111598808e+07 1.1822899495142980e+07 1.1819788854778059e+07 1.1815860043711944e+07 1.1810960038569456e+07 1.1804921579954365e+07 1.1797561196472742e+07 1.1788660608005220e+07 1.1777957414803743e+07 1.1765143304855801e+07 1.1749857996096449e+07 1.1731679968775526e+07 1.1710118473172113e+07 1.1684594887480464e+07 1.1654330662400527e+07 1.1617989753729472e+07 1.1574034469671521e+07 1.1521705777896989e+07 1.1460277903951852e+07 1.1388553747088118e+07 1.1305064134268492e+07 1.1208172340917008e+07 1.1096100575183457e+07 1.0966951792517250e+07 1.0818745084828870e+07 1.0649469619764464e+07 1.0457162087301249e+07 1.0240008830489593e+07 9.9964779920775034e+06 9.7254785950191729e+06 9.4265439643859230e+06 9.1000250227688123e+06 8.7200169974671938e+06 8.3129307872029869e+06 7.8836177163074166e+06 7.4385590688074548e+06 6.9856233987083696e+06 6.5336021056030001e+06 6.0915537600639956e+06 5.6680400902450830e+06 5.2703837918466097e+06 4.9040529048864059e+06 4.5723333717612894e+06 4.2763922711561443e+06 4.0155738542796215e+06 3.7876279474136746e+06 3.5894097045263471e+06 3.4174579886823711e+06 3.2682763705228288e+06 3.1386668215785436e+06 3.0257988999240785e+06 2.9273619120210870e+06 2.8413521525243758e+06 2.7662261792556033e+06 2.7006041804632130e+06 2.6434902020403058e+06 2.5939242556894231e+06 2.5511107083408483e+06 2.5144300751406844e+06 2.4832428645311408e+06 2.4569309216241441e+06 2.4350371439199843e+06 2.4170038536373251e+06 2.4024094843777129e+06 2.3907771444354919e+06 2.3816871219845680e+06 2.3745770552038699e+06 2.3689034502411503e+06 2.3642496773977960e+06 2.3602264941417030e+06 2.3564613471621852e+06 2.3538071548929964e+06 2.3511304067036305e+06 2.3484005791608612e+06 2.3455418731564442e+06 2.3425929761699964e+06 2.3394702493462367e+06 2.3362725706550665e+06 2.3327236073214752e+06 2.3289254232921386e+06 2.3248081191700189e+06 2.3203171118400889e+06 2.3153860741347284e+06 2.3099402868429315e+06 2.3038736375067811e+06 2.2971931519025136e+06 2.2896539211359802e+06 2.2812010749841342e+06 2.2717119587456561e+06 2.2610545773597253e+06 2.2490928100174707e+06 2.2356901231520148e+06 2.2206967107505086e+06 2.2041279599340991e+06 2.1857009565090658e+06 2.1654760347690708e+06 2.1434999857310792e+06 2.1199451855537570e+06 2.0951049186718015e+06 2.0695374170142103e+06 2.0440744605507927e+06 2.0200720571710030e+06 1.9992470039591896e+06 1.9842757613950439e+06 1.9788914127726660e+06 1.9885158514933437e+06 2.0210424060790271e+06 2.0884322748377887e+06 2.2096210840968695e+06 2.4165069929427193e+06 2.8912912832767097e+05 +1.4960253417806737e+01 1.1804135248726148e+07 1.1802910661228411e+07 1.1800819799956199e+07 1.1797953252133906e+07 1.1794803873423560e+07 1.1792227540354490e+07 1.1790643313697105e+07 1.1789375782902544e+07 1.1787671115476379e+07 1.1785281319435425e+07 1.1782178386317918e+07 1.1778259431655167e+07 1.1773371841851454e+07 1.1767348798698924e+07 1.1760007308742810e+07 1.1751129665463421e+07 1.1740454158589879e+07 1.1727673284200715e+07 1.1712427705118183e+07 1.1694297011393925e+07 1.1672791747530723e+07 1.1647334824190333e+07 1.1617149771186315e+07 1.1580904112069840e+07 1.1537064200969426e+07 1.1484873036164297e+07 1.1423606896349439e+07 1.1352072003893591e+07 1.1268803268009748e+07 1.1172168564449472e+07 1.1060395176406428e+07 1.0931591581032932e+07 1.0783782778941657e+07 1.0614964128431899e+07 1.0423178625595380e+07 1.0206618800456135e+07 9.9637585382910278e+06 9.6935117431725878e+06 9.3954152435628828e+06 9.0698214979992192e+06 8.6909033244026732e+06 8.2850006816855343e+06 7.8569543568227775e+06 7.4132297143898653e+06 6.9616742060969686e+06 6.5110538565854765e+06 6.0703992421642384e+06 5.6482437323667230e+06 5.2518838096542647e+06 4.8867658710406870e+06 4.5561604881432988e+06 4.2612260957887815e+06 4.0013046532616173e+06 3.7741497794802883e+06 3.5766243245346448e+06 3.4052767972314782e+06 3.2566213205502941e+06 3.1274699961521742e+06 3.0150016824978464e+06 2.9169134551971345e+06 2.8312084993432336e+06 2.7563487391893999e+06 2.6909592245183061e+06 2.6340475205216776e+06 2.5846570575066395e+06 2.5419950412540189e+06 2.5054441943681980e+06 2.4743673137792251e+06 2.4481484514688207e+06 2.4263321313365516e+06 2.4083626668030135e+06 2.3938199802010637e+06 2.3822288701750599e+06 2.3731711027203300e+06 2.3660863016068614e+06 2.3604328959074738e+06 2.3557957182769408e+06 2.3517868984298781e+06 2.3480352061503101e+06 2.3453905027566240e+06 2.3427233253908628e+06 2.3400032590190782e+06 2.3371547752272724e+06 2.3342164230221696e+06 2.3311048637409159e+06 2.3279186159408600e+06 2.3243823430936490e+06 2.3205977406948209e+06 2.3164951592929605e+06 2.3120202109476724e+06 2.3071068056603768e+06 2.3016804913960081e+06 2.2956355362834996e+06 2.2889789352414943e+06 2.2814666631295132e+06 2.2730440424863487e+06 2.2635888572003236e+06 2.2529695841885959e+06 2.2410505893841065e+06 2.2276958274296545e+06 2.2127560291029825e+06 2.1962465209835549e+06 2.1778854082350000e+06 2.1577328061046582e+06 2.1358353382993331e+06 2.1123647646037592e+06 2.0876133207427738e+06 2.0621372425414503e+06 2.0367653367483977e+06 2.0128487574200740e+06 1.9920981698683898e+06 1.9771804611365229e+06 1.9718153668897967e+06 1.9814053911447383e+06 2.0138156382255980e+06 2.0809645365460187e+06 2.2017200046462300e+06 2.4078661343902098e+06 2.8798302712155099e+05 +1.4965221740580995e+01 1.1766576169296077e+07 1.1765355434028817e+07 1.1763271109207837e+07 1.1760413457499947e+07 1.1757273663527619e+07 1.1754704827295935e+07 1.1753124662489248e+07 1.1751859948562045e+07 1.1750159228442827e+07 1.1747775241557065e+07 1.1744680000233075e+07 1.1740770881623698e+07 1.1735895681013325e+07 1.1729888020360105e+07 1.1722565383084916e+07 1.1713710635011284e+07 1.1703062753751116e+07 1.1690315041688483e+07 1.1675109104387686e+07 1.1657025639226571e+07 1.1635576481990099e+07 1.1610186072324632e+07 1.1580080014345849e+07 1.1543929391140366e+07 1.1500204593678253e+07 1.1448150646188436e+07 1.1387045875419900e+07 1.1315699818791097e+07 1.1232651457837794e+07 1.1136273257328639e+07 1.1024797562752916e+07 1.0896338358763037e+07 1.0748926539012084e+07 1.0580563635488819e+07 1.0389298932249987e+07 1.0173331127455829e+07 9.9311398298738301e+06 9.6616438064117208e+06 9.3643833725243304e+06 9.0397125097180773e+06 8.6618814172293562e+06 8.2571592764249379e+06 7.8303763497943152e+06 7.3879821107893614e+06 6.9378029540363923e+06 6.4885795909873759e+06 6.0493146791733475e+06 5.6285133134083450e+06 5.2334458479490438e+06 4.8695371145962784e+06 4.5400423774542827e+06 4.2461114723380692e+06 3.9870840915939398e+06 3.7607176504629664e+06 3.5638826833042009e+06 3.3931373232678631e+06 3.2450062181246355e+06 3.1163115709242164e+06 3.0042415125276544e+06 2.9065008635092545e+06 2.8210996772056343e+06 2.7465052267411216e+06 2.6813474072045544e+06 2.6246372912920085e+06 2.5754217163060424e+06 2.5329107172122546e+06 2.4964892165553016e+06 2.4655222919137692e+06 2.4393961945832018e+06 2.4176570693280641e+06 2.3997512139409115e+06 2.3852600344636715e+06 2.3737100141464658e+06 2.3646843918284578e+06 2.3576247701592059e+06 2.3519914946107343e+06 2.3473708552878378e+06 2.3433763495192579e+06 2.3396380656710546e+06 2.3370028185047684e+06 2.3343451790226959e+06 2.3316348402281967e+06 2.3287965434677890e+06 2.3258686997476821e+06 2.3227682695664586e+06 2.3195934133322877e+06 2.3160697872928437e+06 2.3122987197800381e+06 2.3082108104257472e+06 2.3037518657926042e+06 2.2988560322348848e+06 2.2934491239745785e+06 2.2874257884190357e+06 2.2807929897472085e+06 2.2733075835019876e+06 2.2649150843404820e+06 2.2554937132226485e+06 2.2449124174278984e+06 2.2330360479479986e+06 2.2197290459607188e+06 2.2048426771773905e+06 2.1883922078711488e+06 2.1700967590202331e+06 2.1500162275929479e+06 2.1281970705647920e+06 2.1048104334654915e+06 2.0801475069196012e+06 2.0547625375195243e+06 2.0294813690189284e+06 2.0056503183683997e+06 1.9849739401853317e+06 1.9701095810362769e+06 1.9647636748908937e+06 1.9743194031250591e+06 2.0066137430013691e+06 2.0735225002422198e+06 2.1938461186228283e+06 2.3992550154060940e+06 2.8684137412802811e+05 +1.4970190063355254e+01 1.1729129019894006e+07 1.1727912088422427e+07 1.1725834317308409e+07 1.1722985535802122e+07 1.1719855299430126e+07 1.1717293940410452e+07 1.1715717828721683e+07 1.1714455927237114e+07 1.1712759147778515e+07 1.1710380958775170e+07 1.1707293393824955e+07 1.1703394090956215e+07 1.1698531253420638e+07 1.1692538942336313e+07 1.1685235116982559e+07 1.1676403214194344e+07 1.1665782897918019e+07 1.1653068275045566e+07 1.1637901891784709e+07 1.1619865550305629e+07 1.1598472374777399e+07 1.1573148330334060e+07 1.1543121090627486e+07 1.1507065290017441e+07 1.1463455347276226e+07 1.1411538307955673e+07 1.1350594541738221e+07 1.1279436893039988e+07 1.1196608405839665e+07 1.1100486122608906e+07 1.0989307438404774e+07 1.0861191831214288e+07 1.0714176072122324e+07 1.0546267849845115e+07 1.0355522718342137e+07 1.0140145525062392e+07 9.8986215833410583e+06 9.6298745046504289e+06 9.3334480751146395e+06 9.0096977863229364e+06 8.6329510099265613e+06 8.2294063117878214e+06 7.8038834428230179e+06 7.3628160136633581e+06 6.9140094070299072e+06 6.4661790828427924e+06 6.0282998551956490e+06 5.6088486278719008e+06 5.2150697117238650e+06 4.8523664508900791e+06 4.5239788649987439e+06 4.2310482354943994e+06 3.9729120126605597e+06 3.7473314116290505e+06 3.5511846391998269e+06 3.3810394314587787e+06 3.2334309334818083e+06 3.1051914210229837e+06 2.9935182694456144e+06 2.8961240201553646e+06 2.8110255726116127e+06 2.7366955312997419e+06 2.6717686204320369e+06 2.6152594084554338e+06 2.5662181280978783e+06 2.5238576338667823e+06 2.4875650407609926e+06 2.4567076991894627e+06 2.4306740522345882e+06 2.4090118599987067e+06 2.3911693978550904e+06 2.3767295505298870e+06 2.3652204801636576e+06 2.3562268934781901e+06 2.3491923653047867e+06 2.3435791510204738e+06 2.3389749932869249e+06 2.3349947524241991e+06 2.3312698308915985e+06 2.3286440074100578e+06 2.3259958729839837e+06 2.3232952282792307e+06 2.3204670834837728e+06 2.3175497120750202e+06 2.3144603726756992e+06 2.3112968688074904e+06 2.3077858460400621e+06 2.3040282668220121e+06 2.2999549790070318e+06 2.2955119829948153e+06 2.2906336606795294e+06 2.2852460916225147e+06 2.2792443011920950e+06 2.2726352229709891e+06 2.2651765901106503e+06 2.2568141087411786e+06 2.2474264353922713e+06 2.2368829860838386e+06 2.2250490951980376e+06 2.2117896887703203e+06 2.1969565656025824e+06 2.1805649318920691e+06 2.1623349209036934e+06 2.1423262120885206e+06 2.1205850962628317e+06 2.0972821068229876e+06 2.0727073928851059e+06 2.0474132186583914e+06 2.0222224750973580e+06 1.9984766587221904e+06 1.9778742344522669e+06 1.9630630412366320e+06 1.9577362571355831e+06 1.9672578074069619e+06 1.9994366390709009e+06 2.0661060818779287e+06 2.1859993371046316e+06 2.3906735387432701e+06 2.8570415252974199e+05 +1.4975158386129513e+01 1.1691793519999735e+07 1.1690580367106689e+07 1.1688509121996652e+07 1.1685669185103972e+07 1.1682548479197847e+07 1.1679994577627288e+07 1.1678422510376081e+07 1.1677163416893261e+07 1.1675470571445728e+07 1.1673098169083167e+07 1.1670018265075786e+07 1.1666128757660128e+07 1.1661278257127181e+07 1.1655301262732500e+07 1.1648016208575778e+07 1.1639207101212298e+07 1.1628614289411187e+07 1.1615932682701681e+07 1.1600805765857996e+07 1.1582816443358643e+07 1.1561479124805357e+07 1.1536221297370337e+07 1.1506272699443564e+07 1.1470311508461803e+07 1.1426816161948837e+07 1.1375035722135693e+07 1.1314252596564787e+07 1.1243282928590367e+07 1.1160673814770296e+07 1.1064806864004081e+07 1.0953924508214030e+07 1.0826151704575239e+07 1.0679531086043851e+07 1.0512076481109401e+07 1.0321849695625667e+07 1.0107061707557755e+07 9.8662035158919208e+06 9.5982035584910214e+06 9.3026090758780371e+06 8.9797770568665937e+06 8.6041118371401150e+06 8.2017415288153207e+06 7.7774753841672363e+06 7.3377311793129994e+06 6.8902933302083705e+06 6.4438521068022856e+06 6.0073545549313510e+06 5.5892494708348308e+06 5.1967552065321738e+06 4.8352536957941456e+06 4.5079697765887771e+06 4.2160362204441195e+06 3.9587882603019117e+06 3.7339909146988718e+06 3.5385300510053430e+06 3.3689829868724514e+06 3.2218953372396291e+06 3.0941094219501931e+06 2.9828318330402565e+06 2.8857828086878699e+06 2.8009860723996740e+06 2.7269195425843270e+06 2.6622227564376798e+06 2.6059137664375021e+06 2.5570461892041550e+06 2.5148356891785921e+06 2.4786715663506584e+06 2.4479234361647009e+06 2.4219819259863710e+06 2.4003964057537522e+06 2.3826171216344656e+06 2.3682284320542500e+06 2.3567601723317811e+06 2.3477985121256066e+06 2.3407889917795602e+06 2.3351957700969316e+06 2.3306080374149620e+06 2.3266420124514070e+06 2.3229304072668836e+06 2.3203139750330867e+06 2.3176753129404197e+06 2.3149843289502990e+06 2.3121663011642667e+06 2.3092593660120233e+06 2.3061810792058622e+06 2.3030288886326430e+06 2.2995304257440530e+06 2.2957862883783979e+06 2.2917275717629995e+06 2.2873004694599658e+06 2.2824395980960862e+06 2.2770713016571891e+06 2.2710909821684062e+06 2.2645055427453718e+06 2.2570735910914396e+06 2.2487410241643279e+06 2.2393869325653175e+06 2.2288811994388169e+06 2.2170896408950551e+06 2.2038776661590794e+06 2.1890976052818084e+06 2.1727646046149055e+06 2.1545998061898435e+06 2.1346626727070701e+06 2.1129993293946716e+06 2.0897796996200895e+06 2.0652928945815898e+06 2.0400892029259291e+06 2.0149885729750248e+06 1.9913276974296903e+06 1.9707989724553607e+06 1.9560407621286041e+06 1.9507330342301247e+06 1.9602205242082032e+06 1.9922842453473513e+06 2.0587151976610289e+06 2.1781795714335125e+06 2.3821216074471995e+06 2.8457134557080595e+05 +1.4980126708903772e+01 1.1654569327361938e+07 1.1653359967073107e+07 1.1651295222222026e+07 1.1648464104410242e+07 1.1645352901537489e+07 1.1642806437536342e+07 1.1641238406135891e+07 1.1639982116165586e+07 1.1638293198102817e+07 1.1635926571126435e+07 1.1632854312680660e+07 1.1628974580443531e+07 1.1624136390859608e+07 1.1618174680322800e+07 1.1610908356704105e+07 1.1602121995000562e+07 1.1591556627222639e+07 1.1578907963782880e+07 1.1563820425871171e+07 1.1545878017781638e+07 1.1524596431676459e+07 1.1499404673279854e+07 1.1469534540918626e+07 1.1433667746934870e+07 1.1390286738547396e+07 1.1338642590092970e+07 1.1278019741821963e+07 1.1207237628075117e+07 1.1124847388093617e+07 1.1029235185935119e+07 1.0918648477731252e+07 1.0791217685742278e+07 1.0644991289210945e+07 1.0477989239566473e+07 1.0288279576540651e+07 1.0074079389897475e+07 9.8338853454104979e+06 9.5666306892145183e+06 9.2718661000288837e+06 8.9499500510947555e+06 8.5753636341899950e+06 8.1741646691947831e+06 7.7511519227173282e+06 7.3127273646788988e+06 6.8666544893448725e+06 6.4215984381329557e+06 5.9864785636741864e+06 5.5697156379527124e+06 5.1785021384806754e+06 4.8181986657153359e+06 4.4920149385455102e+06 4.2010752628513807e+06 3.9447126788240001e+06 3.7206960118319364e+06 3.5259187779307240e+06 3.3569678549873941e+06 3.2103993004094819e+06 3.0830654495938057e+06 2.9721820834661317e+06 2.8754771130060661e+06 2.7909810637594643e+06 2.7171771506500342e+06 2.6527097077852539e+06 2.5966002599823158e+06 2.5479057962644976e+06 2.5058447814195603e+06 2.4698086929965476e+06 2.4391694036989654e+06 2.4133197177008274e+06 2.3918106092918492e+06 2.3740942886720011e+06 2.3597565829860549e+06 2.3483289950450854e+06 2.3393991525192289e+06 2.3324145546114673e+06 2.3268412570880526e+06 2.3222698931083339e+06 2.3183180351913050e+06 2.3146197005402250e+06 2.3120126272245389e+06 2.3093834048496191e+06 2.3067020483078309e+06 2.3038941026926981e+06 2.3009975678570149e+06 2.2979302955771154e+06 2.2947893793562688e+06 2.2913034330945252e+06 2.2875726912947781e+06 2.2835284957004655e+06 2.2791172323770756e+06 2.2742737518700557e+06 2.2689246616840353e+06 2.2629657391951731e+06 2.2564038571837321e+06 2.2489984948566831e+06 2.2406957393610096e+06 2.2313751138708191e+06 2.2209069670503139e+06 2.2091575950777358e+06 2.1959928887013933e+06 2.1812657073866981e+06 2.1649911378761581e+06 2.1468913274531220e+06 2.1270255228292444e+06 2.1054396842193566e+06 2.0823031270602208e+06 2.0579039282038058e+06 2.0327904075422988e+06 2.0077795808862511e+06 1.9842033536911381e+06 1.9637480742282486e+06 1.9490426643391589e+06 1.9437539270179553e+06 1.9532074739887123e+06 1.9851564809887060e+06 2.0513497640569496e+06 2.1703867332272232e+06 2.3735991248562005e+06 2.8344293655659177e+05 +1.4985095031678030e+01 1.1617456152380720e+07 1.1616250578498481e+07 1.1614192318426792e+07 1.1611369993553670e+07 1.1608268265814649e+07 1.1605729219425654e+07 1.1604165215381995e+07 1.1602911724383689e+07 1.1601226727074070e+07 1.1598865864246123e+07 1.1595801235981407e+07 1.1591931258690538e+07 1.1587105354041994e+07 1.1581158894564766e+07 1.1573911260901578e+07 1.1565147595144743e+07 1.1554609611045904e+07 1.1541993818071596e+07 1.1526945571734149e+07 1.1509049973681198e+07 1.1487823995676557e+07 1.1462698158560704e+07 1.1432906315838575e+07 1.1397133706567675e+07 1.1353866778632937e+07 1.1302358613848574e+07 1.1241895680166891e+07 1.1171300694817184e+07 1.1089128829935908e+07 1.0993770793508966e+07 1.0883479053202154e+07 1.0756389482273392e+07 1.0610556390771380e+07 1.0444005836193409e+07 1.0254812074203074e+07 1.0041198287708567e+07 9.8016667904574443e+06 9.5351556187908072e+06 9.2412188734635785e+06 8.9202164994249735e+06 8.5467061370650735e+06 8.1466754752833191e+06 7.7249128080432825e+06 7.2878043273510030e+06 6.8430926508253468e+06 6.3994178527188078e+06 5.9656716673226347e+06 5.5502469254597016e+06 5.1603103142211586e+06 4.8012011775782341e+06 4.4761141776901688e+06 4.1861651988677303e+06 3.9306851129869483e+06 3.7074465556221385e+06 3.5133506796042589e+06 3.3449939016777235e+06 3.1989426943911021e+06 3.0720593801992419e+06 2.9615689012422631e+06 2.8652068173617953e+06 2.7810104342120625e+06 2.7074682458859091e+06 2.6432293673618292e+06 2.5873187841557139e+06 2.5387968462279001e+06 2.4968848091711514e+06 2.4609763206728273e+06 2.4304455029548518e+06 2.4046873295425302e+06 2.3832543736065808e+06 2.3656008026491711e+06 2.3513139075663229e+06 2.3399268529944886e+06 2.3310287196982009e+06 2.3240689591131359e+06 2.3185155175288562e+06 2.3139604660829986e+06 2.3100227265234659e+06 2.3063376167389299e+06 2.3037398701167922e+06 2.3011200549503323e+06 2.2984482926990106e+06 2.2956503945313697e+06 2.2927642241918906e+06 2.2897079284976255e+06 2.2865782478128988e+06 2.2831047750680167e+06 2.2793873826959752e+06 2.2753576581107122e+06 2.2709621792144077e+06 2.2661360296690250e+06 2.2608060795837487e+06 2.2548684803970167e+06 2.2483300746766864e+06 2.2409512101003570e+06 2.2326781633610865e+06 2.2233908887192598e+06 2.2129601987524997e+06 2.2012528680546428e+06 2.1881352672411553e+06 2.1734607833615667e+06 2.1572444437763263e+06 2.1392093975291466e+06 2.1194146761023025e+06 2.0979060752599454e+06 2.0748523046047804e+06 2.0505404102038220e+06 2.0255167499759512e+06 2.0005954173203213e+06 1.9771035469483694e+06 1.9567214600397141e+06 1.9420686687383004e+06 1.9367988565833799e+06 1.9462185774500950e+06 1.9780532653987883e+06 2.0440096977802792e+06 2.1626207343718349e+06 2.3651059946042532e+06 2.8231890885351639e+05 +1.4990063354452289e+01 1.1580453677509457e+07 1.1579251905364955e+07 1.1577200109278910e+07 1.1574386552905755e+07 1.1571294272016702e+07 1.1568762623244580e+07 1.1567202638149546e+07 1.1565951941562379e+07 1.1564270858381541e+07 1.1561915748479618e+07 1.1558858735039847e+07 1.1554998492469788e+07 1.1550184846773954e+07 1.1544253605628081e+07 1.1537024621360980e+07 1.1528283601930410e+07 1.1517772941247787e+07 1.1505189946050387e+07 1.1490180904089054e+07 1.1472332011825642e+07 1.1451161517779756e+07 1.1426101454435630e+07 1.1396387725695742e+07 1.1360709089178387e+07 1.1317555984421587e+07 1.1266183496159025e+07 1.1205880114886241e+07 1.1135471832818126e+07 1.1053517845129818e+07 1.0958413392499080e+07 1.0848415941538686e+07 1.0721666802432418e+07 1.0576226100542393e+07 1.0410125982644012e+07 1.0221446902440218e+07 1.0008418117322780e+07 9.7695475702872593e+06 9.5037780698653180e+06 9.2106671227555852e+06 8.8905761329298131e+06 8.5181390824134685e+06 8.1192736901084073e+06 7.6987577903520484e+06 7.2629618255608343e+06 6.8196075816709353e+06 6.3773101270525260e+06 5.9449336523641981e+06 5.5308431301596956e+06 5.1421795409704084e+06 4.7842610488446457e+06 4.4602673213533163e+06 4.1713058651231984e+06 3.9167054080197448e+06 3.6942423991090343e+06 3.5008256160711772e+06 3.3330609932290651e+06 3.1875253909678031e+06 3.0610910903975102e+06 2.9509921672435105e+06 2.8549718063572100e+06 2.7710740716255726e+06 2.6977927190095391e+06 2.6337816283797915e+06 2.5780692343385140e+06 2.5297192363579553e+06 2.4879556713216212e+06 2.4521743496593330e+06 2.4217516353915995e+06 2.3960846639668932e+06 2.3747276019880786e+06 2.3571365675420044e+06 2.3429003103267481e+06 2.3315536511557172e+06 2.3226871189890821e+06 2.3157521108865025e+06 2.3102184572452949e+06 2.3056796623477130e+06 2.3017559926134832e+06 2.2980840621783244e+06 2.2954956101303911e+06 2.2928851697706440e+06 2.2902229687613826e+06 2.2874350834298939e+06 2.2845592418819922e+06 2.2815138849539105e+06 2.2783954011182375e+06 2.2749343589225295e+06 2.2712302699930775e+06 2.2672149665672681e+06 2.2628352177260718e+06 2.2580263394368403e+06 2.2527154635228049e+06 2.2467991141784280e+06 2.2402841038964898e+06 2.2329316457933467e+06 2.2246882054712181e+06 2.2154341667946903e+06 2.2050408046537307e+06 2.1933753704106524e+06 2.1803047128943768e+06 2.1656827449172176e+06 2.1495244346860754e+06 2.1315539295225875e+06 2.1118300464316150e+06 2.0903984172944466e+06 2.0674271479681644e+06 2.0432022572869202e+06 2.0182681479511047e+06 1.9934360010074873e+06 1.9700281968885441e+06 1.9497190504081491e+06 1.9351186964386450e+06 1.9298677442539991e+06 1.9392537555350640e+06 1.9709745182280138e+06 2.0366949158025072e+06 2.1548814870177987e+06 2.3566421206206637e+06 2.8119924588882807e+05 +1.4995031677226548e+01 1.1543561630328473e+07 1.1542363664881792e+07 1.1540318287549188e+07 1.1537513483172638e+07 1.1534430620804232e+07 1.1531906349631732e+07 1.1530350375174217e+07 1.1529102468392313e+07 1.1527425292728376e+07 1.1525075924525628e+07 1.1522026510570044e+07 1.1518175982534982e+07 1.1513374569848556e+07 1.1507458514325967e+07 1.1500248138984051e+07 1.1491529716321489e+07 1.1481046318880260e+07 1.1468496048882050e+07 1.1453526124214452e+07 1.1435723833681874e+07 1.1414608699651103e+07 1.1389614262777412e+07 1.1359978472666727e+07 1.1324393597274248e+07 1.1281354058854084e+07 1.1230116940411085e+07 1.1169972749989489e+07 1.1099750746771520e+07 1.1018014139176922e+07 1.0923162689382117e+07 1.0813458850348311e+07 1.0687049355144288e+07 1.0542000129027883e+07 1.0376349391254369e+07 1.0188183775723627e+07 9.9757385957293268e+06 9.7375274048252720e+06 9.4724977657496259e+06 9.1802105751437359e+06 8.8610286833765320e+06 8.4896622075661942e+06 8.0919590573523901e+06 7.6726866205143537e+06 7.2381996181670725e+06 6.7961990495346012e+06 6.3552750382319652e+06 5.9242643058795519e+06 5.5115040494293477e+06 5.1241096264816150e+06 4.7673780975065203e+06 4.4444741973755416e+06 4.1564970987309166e+06 3.9027734096069071e+06 3.6810833957693782e+06 3.4883434478040109e+06 3.3211689963225084e+06 3.1761472623104211e+06 3.0501604571866770e+06 2.9404517627090425e+06 2.8447719649463962e+06 2.7611718642028128e+06 2.6881504610699462e+06 2.6243663843763168e+06 2.5688515062289955e+06 2.5206728642330943e+06 2.4790572670652238e+06 2.4434026805361933e+06 2.4130877027699961e+06 2.3875116237325566e+06 2.3662301980209569e+06 2.3487014876175714e+06 2.3345156960900025e+06 2.3232092947938759e+06 2.3143742560066208e+06 2.3074639158214307e+06 2.3019499823447629e+06 2.2974273881924506e+06 2.2935177399114682e+06 2.2898589434589241e+06 2.2872797539703823e+06 2.2846786561218859e+06 2.2820259834105549e+06 2.2792480764175705e+06 2.2763825280759311e+06 2.2733480722238049e+06 2.2702407466714582e+06 2.2667920921969181e+06 2.2631012608757825e+06 2.2591003289228370e+06 2.2547362559385304e+06 2.2499445894050947e+06 2.2446527219440546e+06 2.2387575492244321e+06 2.2322658537903116e+06 2.2249397111812341e+06 2.2167257752749831e+06 2.2075048580545164e+06 2.1971486951322034e+06 2.1855250129982075e+06 2.1725011370457285e+06 2.1579315040342347e+06 2.1418310232459796e+06 2.1239248368007587e+06 2.1042715479865833e+06 2.0829166253651094e+06 2.0600275731266770e+06 2.0358893864113300e+06 2.0110445194373084e+06 1.9863012509329910e+06 1.9629772234458711e+06 1.9427407660929379e+06 1.9281926687910375e+06 1.9229605115931542e+06 1.9323129294270934e+06 1.9639201593704252e+06 2.0294053353475782e+06 2.1471689035856980e+06 2.3482074071224323e+06 2.8008393115039385e+05 +1.5000000000000000e+01 1.1506779695017738e+07 1.1505585595983615e+07 1.1503546546583118e+07 1.1500750485182000e+07 1.1497677013471449e+07 1.1495160099903708e+07 1.1493608127866870e+07 1.1492363006256068e+07 1.1490689731506219e+07 1.1488346093797525e+07 1.1485304264003476e+07 1.1481463430333953e+07 1.1476674224736907e+07 1.1470773322190233e+07 1.1463581515342699e+07 1.1454885639954463e+07 1.1444429445690466e+07 1.1431911828433443e+07 1.1416980934097758e+07 1.1399225141405666e+07 1.1378165243618360e+07 1.1353236286176169e+07 1.1323678259579228e+07 1.1288186934051059e+07 1.1245260705517413e+07 1.1194158650711147e+07 1.1134173290163632e+07 1.1064137142045207e+07 1.0982617418272320e+07 1.0888018391307315e+07 1.0778607487910099e+07 1.0652536850046542e+07 1.0507878187412916e+07 1.0342675775060959e+07 1.0155022409238687e+07 9.9431594406219013e+06 9.7056060146710537e+06 9.4413144304555431e+06 9.1498489585567806e+06 8.8315738831911404e+06 8.4612752505068835e+06 8.0647313213482229e+06 7.6466990500363121e+06 7.2135174646867830e+06 6.7728668226905214e+06 6.3333123639836609e+06 5.9036634155436773e+06 5.4922294812205480e+06 5.1061003790712627e+06 4.7505521420749258e+06 4.4287346340921260e+06 4.1417387372858967e+06 3.8888889638882927e+06 3.6679693995112828e+06 3.4759040356848445e+06 3.3093177780386666e+06 3.1648081809750460e+06 3.0392673579349574e+06 2.9299475692319921e+06 2.8346071784232305e+06 2.7513037004874828e+06 2.6785413634492764e+06 2.6149835292090983e+06 2.5596654958435367e+06 2.5116576277375272e+06 2.4701894959015851e+06 2.4346612141879075e+06 2.4044536071493020e+06 2.3789681118897037e+06 2.3577620655814060e+06 2.3402954674350172e+06 2.3261599699695744e+06 2.3148936894636680e+06 2.3060900366527429e+06 2.2992042800940182e+06 2.2937099992255718e+06 2.2892035501964898e+06 2.2853078751528258e+06 2.2816621674624733e+06 2.2790922086253674e+06 2.2765004210955598e+06 2.2738572438524049e+06 2.2710892808117121e+06 2.2682339902068730e+06 2.2652103978576874e+06 2.2621141921568159e+06 2.2586778827153496e+06 2.2550002633170830e+06 2.2510136533144368e+06 2.2466652021672954e+06 2.2418906880780808e+06 2.2366177635688903e+06 2.2307436944982191e+06 2.2242752335844138e+06 2.2169753157889149e+06 2.2087907826287043e+06 2.1996028727297783e+06 2.1892837808449664e+06 2.1777017069457094e+06 2.1647244513525325e+06 2.1502069729618505e+06 2.1341641223549368e+06 2.1163220329956827e+06 2.0967390951970061e+06 2.0754606147720888e+06 2.0526534963084019e+06 2.0286017147876187e+06 2.0038457826574992e+06 1.9791910863212624e+06 1.9559505467956469e+06 1.9357865280883978e+06 1.9212905073856155e+06 1.9160770804027326e+06 1.9253960205477884e+06 1.9568901089647224e+06 2.0221408738881033e+06 2.1394828967583035e+06 2.3398017586217052e+06 2.7897294818666799e+05 +1.5056628914057296e+01 1.1095227445312725e+07 1.1094075248400763e+07 1.1092108090427481e+07 1.1089409554516718e+07 1.1086441378713435e+07 1.1084006926277475e+07 1.1082500003580770e+07 1.1081286298912920e+07 1.1079657020394221e+07 1.1077377910652937e+07 1.1074421447402058e+07 1.1070689692869738e+07 1.1066037803886145e+07 1.1060307321819611e+07 1.1053324320729267e+07 1.1044881965997064e+07 1.1034731617096851e+07 1.1022581090425076e+07 1.1008088962827243e+07 1.0990855861832870e+07 1.0970416863705324e+07 1.0946223923618495e+07 1.0917539961551860e+07 1.0883100095507270e+07 1.0841447383654466e+07 1.0791863305459322e+07 1.0733662966224242e+07 1.0665715472142380e+07 1.0586632981380880e+07 1.0494870391920000e+07 1.0388750941000629e+07 1.0266487441146482e+07 1.0126216454531860e+07 9.9660501097681392e+06 9.7841501960966028e+06 9.5788255838674046e+06 9.3486578540768567e+06 9.0926520433984380e+06 8.8104097682567872e+06 8.5023107869556714e+06 8.1439921693722680e+06 7.7604495772247948e+06 7.3563219790146342e+06 6.9377715319624105e+06 6.5122452349948213e+06 6.0880289865440531e+06 5.6736250792205194e+06 5.2770331358315237e+06 4.9050576941681262e+06 4.5627404166000308e+06 4.2530659554592259e+06 3.9770337138034981e+06 3.7339459711143491e+06 3.5216305513474634e+06 3.3370972308461550e+06 3.1770774155216375e+06 3.0382845353154265e+06 2.9177215889627631e+06 2.8127423949915962e+06 2.7211900291269640e+06 2.6411970234253816e+06 2.5713259895210085e+06 2.5102931298545203e+06 2.4571719875733368e+06 2.4110700549579863e+06 2.3712477293653362e+06 2.3371290963481055e+06 2.3081198231749041e+06 2.2836453058931259e+06 2.2632805426258873e+06 2.2465071485108249e+06 2.2329329486970347e+06 2.2221144173170179e+06 2.2136610214909543e+06 2.2070495986542255e+06 2.2017746135176839e+06 2.1974483133098790e+06 2.1937085477502374e+06 2.1902088769755275e+06 2.1877419071884719e+06 2.1852539971932401e+06 2.1827167630456928e+06 2.1800597468962832e+06 2.1773189041057476e+06 2.1744165179165145e+06 2.1714443798599970e+06 2.1681458066868177e+06 2.1646155956306565e+06 2.1607887788027297e+06 2.1566146240067813e+06 2.1520314835567405e+06 2.1469699097921066e+06 2.1413312985028555e+06 2.1351220713812737e+06 2.1281147497303956e+06 2.1202582696229508e+06 2.1114386298653777e+06 2.1015331478925929e+06 2.0904153064797523e+06 2.0779582047789947e+06 2.0640226269534875e+06 2.0486227703122613e+06 2.0314958266321234e+06 2.0126978110516705e+06 1.9922722134845504e+06 1.9703792487142293e+06 1.9472915094943438e+06 1.9235278435394941e+06 1.8998613666243565e+06 1.8775523220626907e+06 1.8581965177128308e+06 1.8442815273562307e+06 1.8392770772705709e+06 1.8482224991730382e+06 1.8784542419772190e+06 1.9410896296977773e+06 2.0537283749210373e+06 2.2460180326324711e+06 2.6661091380008915e+05 +1.5113257828114591e+01 1.0697508796480358e+07 1.0696397280272150e+07 1.0694499576371176e+07 1.0691895370367507e+07 1.0689029207944734e+07 1.0686674681225877e+07 1.0685211685838927e+07 1.0684028829473373e+07 1.0682442684091140e+07 1.0680226668644801e+07 1.0677353605628943e+07 1.0673728350493882e+07 1.0669210468071509e+07 1.0663646237585448e+07 1.0656866884501142e+07 1.0648671740437549e+07 1.0638819578238625e+07 1.0627026906785384e+07 1.0612962467333632e+07 1.0596238820712967e+07 1.0576404957858045e+07 1.0552929305487167e+07 1.0525097109367043e+07 1.0491681800209034e+07 1.0451269954726929e+07 1.0403164871513186e+07 1.0346703600652672e+07 1.0280790825658105e+07 1.0204082409526786e+07 1.0115082457645504e+07 1.0012168424313737e+07 9.8936120197183210e+06 9.7576127087583113e+06 9.6023483605041895e+06 9.4260475104051363e+06 9.2270842168934252e+06 9.0041001576157417e+06 8.7561508706322256e+06 8.4828733353973236e+06 8.1846612444769591e+06 7.8379766592697157e+06 7.4670530744671933e+06 7.0764132200407730e+06 6.6720460497840326e+06 6.2611710572731914e+06 5.8518025702498360e+06 5.4521452681538844e+06 5.0698992882489478e+06 4.7115943523626532e+06 4.3820472558271177e+06 4.0840850996704148e+06 3.8186211659231288e+06 3.5849384091622918e+06 3.3809086887508803e+06 3.2036259853908247e+06 3.0499254777938039e+06 2.9166330223131813e+06 2.8008589328314764e+06 2.7000551295751459e+06 2.6121464216222391e+06 2.5353376333357366e+06 2.4682476077452549e+06 2.4096434018499674e+06 2.3586353614169280e+06 2.3143666890101205e+06 2.2761274274225486e+06 2.2433647168176696e+06 2.2155081099504903e+06 2.1920060404970748e+06 2.1724504913139418e+06 2.1563438610605276e+06 2.1433095334156393e+06 2.1329216394619490e+06 2.1248050948203006e+06 2.1184574858616712e+06 2.1133933664073306e+06 2.1092402752484027e+06 2.1056504039654122e+06 2.1022911290133237e+06 2.0999231677876781e+06 2.0975351197877685e+06 2.0950997330472944e+06 2.0925493745438699e+06 2.0899185549444302e+06 2.0871326883911460e+06 2.0842798232806236e+06 2.0811136614239982e+06 2.0777251598417228e+06 2.0740519585322598e+06 2.0700453617436797e+06 2.0656461963991832e+06 2.0607878025451796e+06 2.0553755456313910e+06 2.0494155321460532e+06 2.0426894949052262e+06 2.0351483853756064e+06 2.0266827785143158e+06 2.0171749164001138e+06 2.0065033603763483e+06 1.9945463035813835e+06 1.9811701296506880e+06 1.9663884107827037e+06 1.9499489654947396e+06 1.9319055273081418e+06 1.9122998404517819e+06 1.8912856885109073e+06 1.8691247220517513e+06 1.8463149616019700e+06 1.8235984993354259e+06 1.8021849400328421e+06 1.7836061047024862e+06 1.7702496821866126e+06 1.7654461293981737e+06 1.7740324729830257e+06 1.8030506720578042e+06 1.8631717920772114e+06 1.9712890856957983e+06 2.1558599470703923e+06 2.5478586172746832e+05 +1.5169886742171887e+01 1.0313199791433869e+07 1.0312127619344614e+07 1.0310297074733231e+07 1.0307784182489149e+07 1.0305016596502554e+07 1.0302739673544129e+07 1.0301319487391405e+07 1.0300166942225298e+07 1.0298623052249400e+07 1.0296468721825620e+07 1.0293677113302775e+07 1.0290155816178920e+07 1.0285768682500683e+07 1.0280366603384605e+07 1.0273785827599881e+07 1.0265831693713568e+07 1.0256270194532689e+07 1.0244826307871712e+07 1.0231178677893903e+07 1.0214951488914274e+07 1.0195707285336010e+07 1.0172930535625869e+07 1.0145928219584698e+07 1.0113511066077510e+07 1.0074308047754722e+07 1.0027643709708493e+07 9.9728764212859925e+06 9.9089454544234071e+06 9.8345491621572562e+06 9.7482394704867229e+06 9.6484464933932461e+06 9.5334991075663455e+06 9.4016577788020261e+06 9.2511640580116771e+06 9.0803110415814389e+06 8.8875357128336877e+06 8.6715375819900762e+06 8.4314205321613736e+06 8.1668550053539490e+06 7.8782471694268128e+06 7.5428587146834256e+06 7.1841810177365225e+06 6.8066223546936177e+06 6.4160021314501353e+06 6.0193180135905333e+06 5.6243203793484615e+06 5.2389254914134229e+06 4.8705441071687685e+06 4.5254412645923076e+06 4.2082180545886131e+06 3.9215513733326127e+06 3.6662734799343767e+06 3.4416507244062852e+06 3.2455992032290739e+06 3.0752955009241463e+06 2.9276758762217318e+06 2.7996752388675269e+06 2.6885077423145124e+06 2.5917200540857124e+06 2.5073158308734405e+06 2.4335695545748672e+06 2.3691542201367677e+06 2.3128858224454345e+06 2.2639101179962102e+06 2.2214046528012347e+06 2.1846879767272430e+06 2.1532294004486827e+06 2.1264814398526936e+06 2.1039146784526361e+06 2.0851374320855590e+06 2.0696720809353769e+06 2.0571569750950795e+06 2.0471832270419376e+06 2.0393906147041367e+06 2.0332966829240564e+06 2.0284353072264227e+06 2.0244487397585062e+06 2.0210029685423607e+06 2.0177786559305829e+06 2.0155058693855291e+06 2.0132138157811102e+06 2.0108763316608572e+06 2.0084284996011828e+06 2.0059034416010610e+06 2.0032295808683347e+06 2.0004913705876579e+06 1.9974524912953314e+06 1.9942002103008293e+06 1.9906746744786422e+06 1.9868291456412144e+06 1.9826068294748843e+06 1.9779437457579954e+06 1.9727490752679612e+06 1.9670286243700066e+06 1.9605729765930050e+06 1.9533350224583778e+06 1.9452097358282206e+06 1.9360840926779893e+06 1.9258415362182490e+06 1.9143651562625563e+06 1.9015267184831838e+06 1.8873391969456167e+06 1.8715606214332483e+06 1.8542425338868445e+06 1.8354250004558163e+06 1.8152556226284839e+06 1.7939855326003137e+06 1.7720927303967045e+06 1.7502894857027989e+06 1.7297367286645132e+06 1.7119047682612964e+06 1.6990852787231994e+06 1.6944748413540514e+06 1.7027160145143515e+06 1.7305676736172687e+06 1.7882719100334945e+06 1.8920428787071640e+06 2.0691939144093078e+06 2.4347503368943042e+05 +1.5226515656229182e+01 9.9418874864992052e+06 9.9408533081044909e+06 9.9390876592569407e+06 9.9366630811461601e+06 9.9339909671826418e+06 9.9317892347697001e+06 9.9304107877992988e+06 9.9292880265659820e+06 9.9277855162444245e+06 9.9256914810439330e+06 9.9229794042504951e+06 9.9195595630600881e+06 9.9152999728712738e+06 9.9100560146452729e+06 9.9036688331225570e+06 9.8959496187227238e+06 9.8866713941816408e+06 9.8755673871214874e+06 9.8623258880239502e+06 9.8465824006947074e+06 9.8279126688206438e+06 9.8058167811847124e+06 9.7796228717949465e+06 9.7481779735681713e+06 9.7101523535338975e+06 9.6648912416123413e+06 9.6117737152485680e+06 9.5497726675196271e+06 9.4776277532139327e+06 9.3939373629875798e+06 9.2971827489493433e+06 9.1857482643902302e+06 9.0579535213508420e+06 8.9121017476764023e+06 8.7465484757450167e+06 8.5597914175923914e+06 8.3505857250104360e+06 8.1180815474235872e+06 7.8619809686166616e+06 7.5827012506051678e+06 7.2582790084108738e+06 6.9114831663489854e+06 6.5466093641023813e+06 6.1693110991816800e+06 5.7863698079892909e+06 5.4052793901700173e+06 5.0336766651521949e+06 4.6786928312765891e+06 4.3463380503696585e+06 4.0410065404466148e+06 3.7652320364352679e+06 3.5197706232584734e+06 3.3038745885875747e+06 3.1155043790050247e+06 2.9519175663941456e+06 2.8101488332719090e+06 2.6872388457214735e+06 2.5805022144280192e+06 2.4875770997152282e+06 2.4065432109887134e+06 2.3357421404128615e+06 2.2738990259935763e+06 2.2198769510012246e+06 2.1728557397882580e+06 2.1320459640945164e+06 2.0967935836597518e+06 2.0665892274805908e+06 2.0409074859430077e+06 2.0192402370065763e+06 2.0012115013829952e+06 1.9863628681599738e+06 1.9743470830225295e+06 1.9647715887464976e+06 1.9572904603998312e+06 1.9514404393239166e+06 1.9467739831246554e+06 1.9429474997331691e+06 1.9396402478172227e+06 1.9365456645511747e+06 1.9343643603790314e+06 1.9321645764241896e+06 1.9299211958633298e+06 1.9275719116584535e+06 1.9251485110964009e+06 1.9225823091553082e+06 1.9199543060951065e+06 1.9170377700873993e+06 1.9139164235651242e+06 1.9105328230001074e+06 1.9068421118103648e+06 1.9027897821382815e+06 1.8983144295047307e+06 1.8933289014140004e+06 1.8878387184911363e+06 1.8816429677053480e+06 1.8746964050242028e+06 1.8668982325192443e+06 1.8581399763626389e+06 1.8483097721941227e+06 1.8372954164883511e+06 1.8249738475726440e+06 1.8113574672174735e+06 1.7962141165511243e+06 1.7795932325497423e+06 1.7615332683990418e+06 1.7421758833882287e+06 1.7217620994980333e+06 1.7007506731449275e+06 1.6798252082899285e+06 1.6600998516631445e+06 1.6429857837988578e+06 1.6306823915878006e+06 1.6262575752608890e+06 1.6341669721259926e+06 1.6608973586605976e+06 1.7162784981252097e+06 1.8158717992385835e+06 1.9858909356395935e+06 2.3265660613991346e+05 +1.5283144570286478e+01 9.5831697115728594e+06 9.5821721879696548e+06 9.5804693844142482e+06 9.5781301215705182e+06 9.5755504177215863e+06 9.5734215763181597e+06 9.5720838830940761e+06 9.5709903499599434e+06 9.5695283562443592e+06 9.5674932391533703e+06 9.5648587993358094e+06 9.5615379515216276e+06 9.5574027523288522e+06 9.5523129547619205e+06 9.5461144726991747e+06 9.5386241970535628e+06 9.5296219942687731e+06 9.5188491269110031e+06 9.5060032801074758e+06 9.4907309789910130e+06 9.4726208193749133e+06 9.4511880972316470e+06 9.4257815327801537e+06 9.3952834892493412e+06 9.3584044475334194e+06 9.3145097716501486e+06 9.2629986501818392e+06 9.2028766514363866e+06 9.1329235699627921e+06 9.0517829356770627e+06 8.9579856527151112e+06 8.8499699017135929e+06 8.7261126328757703e+06 8.5847767988546472e+06 8.4243783023452293e+06 8.2434734535158807e+06 8.0408709259148994e+06 7.8157651320543848e+06 7.5678880538083147e+06 7.2976667409487544e+06 6.9838886763892276e+06 6.6486196149914935e+06 6.2960444059058093e+06 5.9316542579837423e+06 5.5620198962686295e+06 5.1943860619125320e+06 4.8361188838410350e+06 4.4940795424218494e+06 4.1740328143946938e+06 3.8801745551423975e+06 3.6149020896898694e+06 3.3788999385004421e+06 3.1714086999714947e+06 2.9904332014051680e+06 2.8333103735181615e+06 2.6971707045786954e+06 2.5791573957036240e+06 2.4766822242665756e+06 2.3874716866494534e+06 2.3096788386241235e+06 2.2417099204091257e+06 2.1823402727755778e+06 2.1304782829719502e+06 2.0853365477883015e+06 2.0461573945191738e+06 2.0123131353626794e+06 1.9833148963277682e+06 1.9586584862309168e+06 1.9378562534127447e+06 1.9205473182004597e+06 1.9062917343648225e+06 1.8947560929187636e+06 1.8855635395231943e+06 1.8783819015111974e+06 1.8727663823269417e+06 1.8682873088790665e+06 1.8646147072659952e+06 1.8614405999844521e+06 1.8584707066451113e+06 1.8563773292301625e+06 1.8542662281024517e+06 1.8521132927265600e+06 1.8498587251300330e+06 1.8475330298399746e+06 1.8450703006744811e+06 1.8425482218601315e+06 1.8397492727738977e+06 1.8367537703732348e+06 1.8335065870491932e+06 1.8299646746752358e+06 1.8260757229609450e+06 1.8217808030369799e+06 1.8169962860603444e+06 1.8117274206266843e+06 1.8057814629295268e+06 1.7991149634170083e+06 1.7916311879944487e+06 1.7832260361359497e+06 1.7737921534840760e+06 1.7632218601981602e+06 1.7513970656599980e+06 1.7383296240981463e+06 1.7237968030518319e+06 1.7078460178713123e+06 1.6905141714789562e+06 1.6719372119729677e+06 1.6523464441675942e+06 1.6321821289885684e+06 1.6121003186218303e+06 1.5931701974529794e+06 1.5767461130424417e+06 1.5649387541168698e+06 1.5606923420220837e+06 1.5682828607059361e+06 1.5939355656879023e+06 1.6470839216666257e+06 1.7426619667845992e+06 1.9058264674365574e+06 2.2230965344710572e+05 +1.5339773484343773e+01 9.2366550082677081e+06 9.2356931122376062e+06 9.2340508677516505e+06 9.2317941980274245e+06 9.2293038919723295e+06 9.2272457588781919e+06 9.2259477325067241e+06 9.2248828679302633e+06 9.2234605396735333e+06 9.2214829751874655e+06 9.2189243094174787e+06 9.2157000314251147e+06 9.2116861237729527e+06 9.2067465970018301e+06 9.2007320082789809e+06 9.1934648005516455e+06 9.1847315021587200e+06 9.1742811997593287e+06 9.1618207263745908e+06 9.1470073361751344e+06 9.1294421368940119e+06 9.1086552267863341e+06 9.0840153561518248e+06 9.0544392649514917e+06 9.0186765884416848e+06 8.9761122849593889e+06 8.9261650712110624e+06 8.8678722660961710e+06 8.8000526678762715e+06 8.7213936506904215e+06 8.6304743195004836e+06 8.5257850732425898e+06 8.4057584380708896e+06 8.2688151911902158e+06 8.1134295980451526e+06 7.9382145005274555e+06 7.7420300436404096e+06 7.5241129730467582e+06 7.2842234995513400e+06 7.0227972261111634e+06 6.7193490826536147e+06 6.3952605554109197e+06 6.0546075730746193e+06 5.7027226523397090e+06 5.3459712414357597e+06 4.9913560921642091e+06 4.6459811772857122e+06 4.3164469256140105e+06 4.0082819110164596e+06 3.7254918248032075e+06 3.4703440515294774e+06 3.2434559279453792e+06 3.0440585756214038e+06 2.8702011569160987e+06 2.7192983243521610e+06 2.5885737936180835e+06 2.4752701549250307e+06 2.3768931521234657e+06 2.2912545564826583e+06 2.2165781501283264e+06 2.1513324417542717e+06 2.0943411011489055e+06 2.0445560981676206e+06 2.0012215526102001e+06 1.9636103231151334e+06 1.9311200554154010e+06 1.9032815810605371e+06 1.8796111027131898e+06 1.8596406452733602e+06 1.8430238455292927e+06 1.8293385051211398e+06 1.8182645300276333e+06 1.8094401642462583e+06 1.8025464621474985e+06 1.7971563815094521e+06 1.7928574317261442e+06 1.7893327387477499e+06 1.7862866004247528e+06 1.7834365444655470e+06 1.7814276701440162e+06 1.7794017981614061e+06 1.7773357854081336e+06 1.7751722454051436e+06 1.7729404499470666e+06 1.7705771629750906e+06 1.7681568843552773e+06 1.7654709424118774e+06 1.7625963827601078e+06 1.7594803035135556e+06 1.7560813945707695e+06 1.7523494576146007e+06 1.7482279429765965e+06 1.7436366077210852e+06 1.7385804414945729e+06 1.7328745480806848e+06 1.7264772040044039e+06 1.7192955807256412e+06 1.7112297807003872e+06 1.7021767839163376e+06 1.6920332580324721e+06 1.6806858893966256e+06 1.6681460084024188e+06 1.6541999385335613e+06 1.6388931536761557e+06 1.6222610668719315e+06 1.6044341374575817e+06 1.5856343315381224e+06 1.5662841348909314e+06 1.5470131205511899e+06 1.5288472639008395e+06 1.5130862899529231e+06 1.5017556451258152e+06 1.4976806883981451e+06 1.5049647481952908e+06 1.5295817443759346e+06 1.5805842775565237e+06 1.6723034489569184e+06 1.8288802842717362e+06 2.1241411244103071e+05 +1.5396402398401069e+01 8.9019626098957136e+06 8.9010350205296632e+06 8.8994513443506155e+06 8.8972746104147248e+06 8.8948707975032739e+06 8.8928812032664362e+06 8.8916217844871730e+06 8.8905850132272504e+06 8.8892015170128457e+06 8.8872801570370160e+06 8.8847954347772170e+06 8.8816653415665776e+06 8.8777696794476379e+06 8.8729766037562210e+06 8.8671411911790483e+06 8.8600912903667651e+06 8.8516199143576212e+06 8.8414837670259941e+06 8.8293985873925593e+06 8.8150320722853784e+06 8.7979975080260038e+06 8.7778393984474950e+06 8.7539459795427192e+06 8.7252674344850536e+06 8.6905915143271033e+06 8.6493222428322695e+06 8.6008972956488021e+06 8.5443848386193831e+06 8.4786415634043440e+06 8.4023974232447110e+06 8.3142783073291089e+06 8.2128252634367133e+06 8.0965246765614236e+06 7.9638532992769880e+06 7.8133418091688529e+06 7.6436575761569478e+06 7.4537102341213617e+06 7.2427770031878473e+06 7.0106447259392496e+06 6.7577563928673640e+06 6.4643315846140981e+06 6.1510860387122482e+06 5.8219886538075358e+06 5.4822168243497629e+06 5.1379360711652301e+06 4.7959141748293582e+06 4.4630012704001348e+06 4.1455460321189738e+06 3.8488497120305686e+06 3.5767357337066042e+06 3.3313477388121504e+06 3.1132400417577093e+06 2.9216363474233677e+06 2.7546300369864823e+06 2.6097118425836167e+06 2.4841961699924935e+06 2.3754219275116012e+06 2.2809857140619070e+06 2.1987816080448297e+06 2.1271015820246097e+06 2.0644741138696431e+06 2.0097693931964473e+06 1.9619813121709442e+06 1.9203843086742340e+06 1.8842805929424670e+06 1.8530921625239921e+06 1.8263687918884046e+06 1.8036462833623057e+06 1.7844755738244818e+06 1.7685242547070978e+06 1.7553871851933452e+06 1.7447570750876348e+06 1.7362866842832393e+06 1.7296697879425813e+06 1.7244964161601802e+06 1.7203705990670249e+06 1.7169880628170362e+06 1.7140649098618287e+06 1.7113300191279587e+06 1.7094023515974027e+06 1.7074583835886270e+06 1.7054759019813673e+06 1.7033998378453851e+06 1.7012582783963559e+06 1.6989905530577020e+06 1.6966681039843657e+06 1.6940907598366493e+06 1.6913324239640683e+06 1.6883423333609633e+06 1.6850808481355074e+06 1.6814997995449346e+06 1.6775449242817475e+06 1.6731392327488852e+06 1.6682874680925761e+06 1.6628122722052492e+06 1.6566735817518020e+06 1.6497823213657674e+06 1.6420426324878326e+06 1.6333556603417287e+06 1.6236222504562146e+06 1.6127336793012805e+06 1.6007007761374193e+06 1.5873185638876937e+06 1.5726306520816660e+06 1.5566710220086914e+06 1.5395648584008799e+06 1.5215251530210695e+06 1.5029573100443203e+06 1.4844654560771014e+06 1.4670340454870358e+06 1.4519103090559472e+06 1.4410377780845941e+06 1.4371275864747080e+06 1.4441171445167661e+06 1.4677388426828277e+06 1.5166792776312917e+06 1.6046901380686818e+06 1.7549363434318369e+06 2.0295074828157292e+05 +1.5453031312458364e+01 8.5787218850704972e+06 8.5778274274007268e+06 8.5763004301895443e+06 8.5742007987005617e+06 8.5718807079542745e+06 8.5699575371820331e+06 8.5687357424612660e+06 8.5677265057009123e+06 8.5663810220574290e+06 8.5645145421752520e+06 8.5621019631193150e+06 8.5590637082606889e+06 8.5552832996527832e+06 8.5506329251192715e+06 8.5449720604250263e+06 8.5381338151941914e+06 8.5299175146347936e+06 8.5200872768329009e+06 8.5083675097930804e+06 8.4944360725309197e+06 8.4779181034042947e+06 8.4583721232885681e+06 8.4352053211749848e+06 8.4074004097603727e+06 8.3737822382352296e+06 8.3337733776942510e+06 8.2868299072170835e+06 8.2320499566745581e+06 8.1683270262961946e+06 8.0944324128958825e+06 8.0090374073628793e+06 7.9107321759299841e+06 7.7980552897504410e+06 7.6695376776300697e+06 7.5237645345274890e+06 7.3594558160450077e+06 7.1755687283766121e+06 6.9714191764841089e+06 6.7468191072131079e+06 6.5022177990906239e+06 6.2185173001729278e+06 5.9157857399506262e+06 5.5978868939945390e+06 5.2698465748848291e+06 4.9376356385643287e+06 4.6077937617483241e+06 4.2869253469872084e+06 3.9811360468142410e+06 3.6955083789663129e+06 3.4336911026327214e+06 3.1977100521307196e+06 2.9880604708832065e+06 2.8039605627599973e+06 2.6435477463837774e+06 2.5043871892708144e+06 2.3838814920907323e+06 2.2794628845969904e+06 2.1888157966507021e+06 2.1099137372604311e+06 2.0411144154275446e+06 1.9810040568680654e+06 1.9284976244468163e+06 1.8826293314617090e+06 1.8427027720514790e+06 1.8080483712889964e+06 1.7781115327629712e+06 1.7524602391473283e+06 1.7306491276252877e+06 1.7122473106835380e+06 1.6969357932240595e+06 1.6843258272030011e+06 1.6741224337135847e+06 1.6659923274440635e+06 1.6596415164644155e+06 1.6546764460383577e+06 1.6507170295197931e+06 1.6474711116594947e+06 1.6446661458996008e+06 1.6420419223275702e+06 1.6401922882080590e+06 1.6383270230270177e+06 1.6364248075977848e+06 1.6344328000922620e+06 1.6323779495051235e+06 1.6302020500257022e+06 1.6279736078972819e+06 1.6255006166847465e+06 1.6228539616559297e+06 1.6199849350852659e+06 1.6168555020072027e+06 1.6134194439213995e+06 1.6096246945209517e+06 1.6053973899213595e+06 1.6007420386541057e+06 1.5954885229446753e+06 1.5895983760499235e+06 1.5829861290758888e+06 1.5755598045763259e+06 1.5672245502029099e+06 1.5578852260556440e+06 1.5474375188718648e+06 1.5358917785287311e+06 1.5230513843323730e+06 1.5089581556200916e+06 1.4936446978897301e+06 1.4772311274371548e+06 1.4599218124652265e+06 1.4421057432100496e+06 1.4243625940785939e+06 1.4076369233353408e+06 1.3931255166106033e+06 1.3826931930912295e+06 1.3789413259406444e+06 1.3856478933343100e+06 1.4083131968417559e+06 1.4552721349719025e+06 1.5397196308469852e+06 1.6838826534791661e+06 1.9390112160204843e+05 +1.5509660226515660e+01 8.2665722084862683e+06 8.2657097257090788e+06 8.2642375729682939e+06 8.2622124156269580e+06 8.2599733731849892e+06 8.2581145746759241e+06 8.2569294214819800e+06 8.2559471709928289e+06 8.2546388755589919e+06 8.2528259755322374e+06 8.2504837671597926e+06 8.2475350436897883e+06 8.2438669508943763e+06 8.2393555971019687e+06 8.2338647407709304e+06 8.2272326092441492e+06 8.2192646718434831e+06 8.2097322617614493e+06 8.1983682237663232e+06 8.1848603045442719e+06 8.1688451746712495e+06 8.1498949915836100e+06 8.1274353762011845e+06 8.1004806767413067e+06 8.0678918436083160e+06 8.0291094879581761e+06 7.9836075502056554e+06 7.9305132618888831e+06 7.8687558720883634e+06 7.7971468149207421e+06 7.7144014340845747e+06 7.6191575223375037e+06 7.5100042079929365e+06 7.3855248461306635e+06 7.2443573089990793e+06 7.0852722554359781e+06 6.9072726116643976e+06 6.7097112449826039e+06 6.4924237461090656e+06 6.2558646455817567e+06 5.9815968770263363e+06 5.6890587251943285e+06 5.3820107626038333e+06 5.0653307279986963e+06 4.7447999865505584e+06 4.4267368281794935e+06 4.1175078176994585e+06 3.8229840599328470e+06 3.5480376399266883e+06 3.2961499719198267e+06 3.0692347659049225e+06 2.8677319446526370e+06 2.6908559898322597e+06 2.5367881161470590e+06 2.4031662830707305e+06 2.2874788341104118e+06 2.1872483975762380e+06 2.1002442958284086e+06 2.0245166810500366e+06 1.9584866244272925e+06 1.9007959538771487e+06 1.8504027196598738e+06 1.8063799122662223e+06 1.7680591619679027e+06 1.7347980134740456e+06 1.7060643653917769e+06 1.6814437008338608e+06 1.6605087553850652e+06 1.6428461080529219e+06 1.6281496559419346e+06 1.6160464037140238e+06 1.6062532091650344e+06 1.5984502013104933e+06 1.5923551509815650e+06 1.5875902855020713e+06 1.5837907873374938e+06 1.5806761556657292e+06 1.5779847578667086e+06 1.5754668714068267e+06 1.5736922159316109e+06 1.5719025721109253e+06 1.5700774799706850e+06 1.5681662377117383e+06 1.5661947007255515e+06 1.5641070310421023e+06 1.5619689161231220e+06 1.5595961917086360e+06 1.5570568444576364e+06 1.5543041414458263e+06 1.5513015897951920e+06 1.5480048448834694e+06 1.5443639513767923e+06 1.5403080482867896e+06 1.5358414208480741e+06 1.5308009051363298e+06 1.5251495697608849e+06 1.5188054110839046e+06 1.5116801808067770e+06 1.5036828722867735e+06 1.4947222029990735e+06 1.4846980968504334e+06 1.4736204451494638e+06 1.4613006535137270e+06 1.4477788224169761e+06 1.4330862354338728e+06 1.4173381388829863e+06 1.4007306150682152e+06 1.3836368829943778e+06 1.3666131219355632e+06 1.3505655581145801e+06 1.3366425046039587e+06 1.3266331516709698e+06 1.3230334091639386e+06 1.3294680666127645e+06 1.3512144241914591e+06 1.3962694531799748e+06 1.4772931112869708e+06 1.6156111461211187e+06 1.8524755688471181e+05 +1.5566289140572955e+01 7.9651629546708148e+06 7.9643315017536124e+06 7.9629122375702104e+06 7.9609592323945388e+06 7.9587984315023292e+06 7.9570019932387667e+06 7.9558525520225316e+06 7.9548967300983192e+06 7.9536247864266941e+06 7.9518641857717652e+06 7.9495906027131937e+06 7.9467291442486430e+06 7.9431704839036502e+06 7.9387945398436859e+06 7.9334692407156248e+06 7.9270377902189344e+06 7.9193116377305128e+06 7.9100691364685986e+06 7.8990513405498760e+06 7.8859556156686097e+06 7.8704298514906559e+06 7.8520594695773032e+06 7.8302880131522324e+06 7.8041605914706569e+06 7.7725732798925592e+06 7.7349842330347858e+06 7.6908847238601819e+06 7.6394302434339114e+06 7.5795847548722532e+06 7.5101986520959157e+06 7.4300300159718264e+06 7.3377628116555009e+06 7.2320351385694575e+06 7.1114810763753327e+06 6.9747893880461529e+06 6.8207796117396429e+06 6.6484986040233839e+06 6.4573345370534444e+06 6.2471452499329960e+06 6.0183895499564260e+06 5.7532702643293720e+06 5.4706132212795177e+06 5.1740777200372200e+06 4.8683968986015134e+06 4.5591677158574704e+06 4.2524936422894150e+06 3.9545110922095645e+06 3.6708648432848430e+06 3.4062245710262535e+06 3.1639113891666029e+06 2.9457323231529561e+06 2.7520755330954422e+06 2.5821534276340757e+06 2.4341907210704265e+06 2.3058965249098968e+06 2.1948425173976002e+06 2.0986388755536019e+06 2.0151369598768183e+06 1.9424608652223416e+06 1.8790927283478207e+06 1.8237279071674524e+06 1.7753659123611371e+06 1.7331170230602231e+06 1.6963398259110411e+06 1.6644179302171031e+06 1.6368408521628107e+06 1.6132108935701549e+06 1.5931181793725998e+06 1.5761660723158626e+06 1.5620608597082498e+06 1.5504446826628207e+06 1.5410457784673742e+06 1.5335571699006665e+06 1.5277079375647425e+06 1.5231354809460777e+06 1.5194896601189745e+06 1.5165011813803145e+06 1.5139189049884707e+06 1.5115031877007671e+06 1.5098005705504636e+06 1.5080835820999618e+06 1.5063325881485618e+06 1.5044989431050473e+06 1.5026074517113231e+06 1.5006045505579796e+06 1.4985532209615319e+06 1.4962768303510898e+06 1.4938405817072715e+06 1.4911996394495738e+06 1.4883189922976869e+06 1.4851560960055764e+06 1.4816630234128835e+06 1.4777717982313861e+06 1.4734864931861598e+06 1.4686506226081359e+06 1.4632287314505193e+06 1.4571421454093764e+06 1.4503061990574978e+06 1.4426335806158041e+06 1.4340367136274993e+06 1.4244195925715328e+06 1.4137916701320224e+06 1.4019720606770634e+06 1.3889992144061171e+06 1.3749031448238916e+06 1.3597944192889477e+06 1.3438611592200897e+06 1.3274614310026974e+06 1.3111288400019591e+06 1.2957327857443516e+06 1.2823750075457825e+06 1.2727720343348577e+06 1.2693184490350205e+06 1.2754918619683303e+06 1.2963553188514663e+06 1.3395811185584064e+06 1.4173152365680595e+06 1.5500175514597062e+06 1.7697311202585819e+05 +1.5622918054630251e+01 7.6741533673734926e+06 7.6733517673542546e+06 7.6719835733821783e+06 7.6701002435791865e+06 7.6680151511593377e+06 7.6662791552134119e+06 7.6651644942020262e+06 7.6642345668426417e+06 7.6629981478425059e+06 7.6612885822811760e+06 7.6590819077033326e+06 7.6563054891259791e+06 7.6528534319499694e+06 7.6486093560006125e+06 7.6434452507435139e+06 7.6372091574616656e+06 7.6297183450006908e+06 7.6207579956299160e+06 7.6100771501620281e+06 7.5973825305349138e+06 7.5823329389345394e+06 7.5645266965483623e+06 7.5434247707085405e+06 7.5181021765046148e+06 7.4874891585273352e+06 7.4510609288607128e+06 7.4083255772958249e+06 7.3584660322798546e+06 7.3004799606605219e+06 7.2332555672251871e+06 7.1555923869100651e+06 7.0662191404748876e+06 6.9638213545998903e+06 6.8470821791099068e+06 6.7147395335463956e+06 6.5656600685797986e+06 6.3989328423780138e+06 6.2139797375512486e+06 6.0106795086692544e+06 5.7894943227875587e+06 5.5332464868970634e+06 5.2601663884291351e+06 4.9738139896694878e+06 4.6787812636645855e+06 4.3804857568284189e+06 4.0848225386416698e+06 3.7977053556738687e+06 3.5245606308966717e+06 3.2698633824342452e+06 3.0367812016502847e+06 2.8270196349811084e+06 2.6409184539143993e+06 2.4776895205182475e+06 2.3356007017062535e+06 2.2124306270423336e+06 2.1058319460827694e+06 2.0134996069634485e+06 1.9333642364253562e+06 1.8636212563209520e+06 1.8028116478659536e+06 1.7496822980521284e+06 1.7032726080510297e+06 1.6627287106955375e+06 1.6274351082870881e+06 1.5968004585041553e+06 1.5703350500851439e+06 1.5476573470149655e+06 1.5283741809466518e+06 1.5121050410111689e+06 1.4985681212940395e+06 1.4874201061213771e+06 1.4784001718200813e+06 1.4712137336147991e+06 1.4656007454482028e+06 1.4612131915062012e+06 1.4577150397885095e+06 1.4548477727016981e+06 1.4523703377731082e+06 1.4500527781241564e+06 1.4484193693971829e+06 1.4467721817266459e+06 1.4450923744948718e+06 1.4433332776462329e+06 1.4415186865979237e+06 1.4395972227539902e+06 1.4376292695820921e+06 1.4354454275244712e+06 1.4331082264361707e+06 1.4305746535272063e+06 1.4278111209005280e+06 1.4247768139495582e+06 1.4214257539922758e+06 1.4176927357076607e+06 1.4135816295918322e+06 1.4089423631282558e+06 1.4037409007623072e+06 1.3979017667067591e+06 1.3913437376272262e+06 1.3839830514271075e+06 1.3757356921005452e+06 1.3665095643792548e+06 1.3563137014146158e+06 1.3449746208302325e+06 1.3325291885131383e+06 1.3190061977925233e+06 1.3045117209199627e+06 1.2892262312241150e+06 1.2734932378526176e+06 1.2578246588957193e+06 1.2430545158905075e+06 1.2302398020038719e+06 1.2210272408737682e+06 1.2177140695258363e+06 1.2236365027399852e+06 1.2436517501565584e+06 1.2851201951709017e+06 1.3596940260317980e+06 1.4870012765633806e+06 1.6906154904941740e+05 +1.5679546968687546e+01 7.3932117493522102e+06 7.3924391169647546e+06 7.3911202435795926e+06 7.3893042796797352e+06 7.3872924236649619e+06 7.3856149201846886e+06 7.3845341221462749e+06 7.3836295307964757e+06 7.3824278332026927e+06 7.3807680542950174e+06 7.3786266017376473e+06 7.3759330392821068e+06 7.3725848097209195e+06 7.3684691296266289e+06 7.3634619421470081e+06 7.3574159906390337e+06 7.3501542058884390e+06 7.3414684124009572e+06 7.3311154197738077e+06 7.3188110491755204e+06 7.3042247153631598e+06 7.2869672825155770e+06 7.2665166551173674e+06 7.2419769179991586e+06 7.2123115495891469e+06 7.1770123440330429e+06 7.1356037050614571e+06 7.0872951961083384e+06 7.0311172016650150e+06 6.9659946164391683e+06 6.8907671786170397e+06 6.8042069843500499e+06 6.7050454851200115e+06 6.5920132929255217e+06 6.4638958009683648e+06 6.3196050613755491e+06 6.1582706643983712e+06 5.9793466698721703e+06 5.7827314752412364e+06 5.5688897461408526e+06 5.3212434220829988e+06 5.0574440957861543e+06 4.7809543326139031e+06 4.4962283369645579e+06 4.2085091450516880e+06 3.9234896958142272e+06 3.6468683495121123e+06 3.3838609041833496e+06 3.1387552090140549e+06 2.9145718533800072e+06 2.7129198847275940e+06 2.5340938840737808e+06 2.3773065773116932e+06 2.2408685908103795e+06 2.1226264464475862e+06 2.0203114469086018e+06 1.9317006052842829e+06 1.8548011234632430e+06 1.7878772173314979e+06 1.7295265649059298e+06 1.6785456504638116e+06 1.6340122510409891e+06 1.5951069700757093e+06 1.5612392225818685e+06 1.5318417358888867e+06 1.5064447576039226e+06 1.4846822816225665e+06 1.4661771892175197e+06 1.4505644630861247e+06 1.4375737386151308e+06 1.4268756722954477e+06 1.4182199552518651e+06 1.4113239124093980e+06 1.4059379506184394e+06 1.4017280729665505e+06 1.3983718067716088e+06 1.3956209952814179e+06 1.3932442826112988e+06 1.3910210199460315e+06 1.3894540962491871e+06 1.3878739622336116e+06 1.3862625398679706e+06 1.3845750569880158e+06 1.3828343394580842e+06 1.3809911071443274e+06 1.3791032497874012e+06 1.3770083135483251e+06 1.3747662614848560e+06 1.3723358318568089e+06 1.3696848041275248e+06 1.3667740252488665e+06 1.3635593883295497e+06 1.3599783495794525e+06 1.3560345870658555e+06 1.3515841864390655e+06 1.3465944768653209e+06 1.3409930551825196e+06 1.3347020046718023e+06 1.3276409732031799e+06 1.3197293650844535e+06 1.3108788410377533e+06 1.3010980329603772e+06 1.2902205678727375e+06 1.2782817907616491e+06 1.2653093228119756e+06 1.2514049180852377e+06 1.2367417028471441e+06 1.2216492019718913e+06 1.2066184995417357e+06 1.1924496331910370e+06 1.1801566088444351e+06 1.1713190933248438e+06 1.1681408089245546e+06 1.1738221407604746e+06 1.1930225638361946e+06 1.2328028227199058e+06 1.3043407531286390e+06 1.4264652873000242e+06 1.6149730592915998e+05 +1.5736175882744842e+01 7.1220161222384339e+06 7.1212712901009470e+06 7.1200001437922204e+06 7.1182492072052471e+06 7.1163082422787379e+06 7.1146874159149602e+06 7.1136395558733800e+06 7.1127597615115605e+06 7.1115919950363291e+06 7.1099807717836341e+06 7.1079028861182788e+06 7.1052900370446816e+06 7.1020429130260460e+06 7.0980522257667528e+06 7.0931977666375535e+06 7.0873368492124006e+06 7.0802979114983417e+06 7.0718792376071773e+06 7.0618451927005211e+06 7.0499204459481155e+06 7.0357847311645057e+06 7.0190611067232993e+06 6.9992439384011580e+06 6.9754655636024643e+06 6.9467217793559218e+06 6.9125204969404908e+06 6.8724019437743304e+06 6.8256015353514859e+06 6.7711814115767898e+06 6.7081020637985254e+06 6.6352422142614489e+06 6.5514159903502855e+06 6.4553993065769877e+06 6.3459686745219063e+06 6.2219553282743944e+06 6.0823150647133412e+06 5.9262163943251045e+06 5.7531440801767828e+06 5.5630149481774969e+06 5.3562953547130488e+06 5.1169875794810094e+06 4.8621807001019511e+06 4.5952418258954184e+06 4.3204907474714378e+06 4.0430008008752940e+06 3.7682689181473153e+06 3.5017851565321698e+06 3.2485621815868048e+06 3.0127079055689741e+06 2.7971021868046196e+06 2.6032623367504980e+06 2.4314407760088961e+06 2.2808523949462087e+06 2.1498501441918211e+06 2.0363468225120748e+06 1.9381501132480274e+06 1.8531164587921943e+06 1.7793270242661578e+06 1.7151123672346836e+06 1.6591247862743440e+06 1.6102084982046499e+06 1.5674781948505798e+06 1.5301476173335861e+06 1.4976501269535399e+06 1.4694415781938394e+06 1.4450713941024120e+06 1.4241884897071833e+06 1.4064311634357101e+06 1.3914492824067890e+06 1.3789834751637860e+06 1.3687178207439112e+06 1.3604121164647248e+06 1.3537951321384383e+06 1.3486273225599765e+06 1.3445881648248450e+06 1.3413682173162105e+06 1.3387292840656983e+06 1.3364493295028263e+06 1.3343166487008035e+06 1.3328135893721192e+06 1.3312978655335596e+06 1.3297521319039811e+06 1.3281334394877809e+06 1.3264636828676776e+06 1.3246955972938975e+06 1.3228846788780554e+06 1.3208751431797999e+06 1.3187244887217171e+06 1.3163931357767461e+06 1.3138501772556591e+06 1.3110580561658938e+06 1.3079744636042935e+06 1.3045394120332340e+06 1.3007563964183195e+06 1.2964874153468006e+06 1.2917011099452968e+06 1.2863280285377018e+06 1.2802934306502466e+06 1.2735202396806150e+06 1.2659311453985507e+06 1.2574414160939252e+06 1.2480592999096483e+06 1.2376252506167700e+06 1.2261731532726944e+06 1.2137295031268029e+06 1.2003919063015587e+06 1.1863264316627220e+06 1.1718491711548392e+06 1.1574311959441141e+06 1.1438399011545125e+06 1.1320479981286842e+06 1.1235707415881779e+06 1.1205220257039068e+06 1.1259717617609256e+06 1.1443894858740142e+06 1.1825481172038657e+06 1.2511698403133673e+06 1.3683159933920011e+06 1.5426546948082247e+05 +1.5792804796802137e+01 6.8602533036457505e+06 6.8595354321309896e+06 6.8583102697217716e+06 6.8566222018589471e+06 6.8547496973488061e+06 6.8531838184885206e+06 6.8521680025076186e+06 6.8513124842140321e+06 6.8501778666240731e+06 6.8486139871865241e+06 6.8465980443764618e+06 6.8440638067275900e+06 6.8409151194356242e+06 6.8370460910232048e+06 6.8323402568153525e+06 6.8266593728192570e+06 6.8198372321146382e+06 6.8116783999638483e+06 6.8019545885575116e+06 6.7903990694490857e+06 6.7767016084870473e+06 6.7604971171617191e+06 6.7412959576678732e+06 6.7182579214511374e+06 6.6904102289610617e+06 6.6572764539835900e+06 6.6184121698668404e+06 6.5730778803868629e+06 6.5203665421519727e+06 6.4592731771057993e+06 6.3887143035225552e+06 6.3075447712386083e+06 6.2145835359110516e+06 6.1086514906248227e+06 5.9886241265742583e+06 5.8534993817103906e+06 5.7024831309427833e+06 5.5350894239263190e+06 5.3512523567081522e+06 5.1514392196368175e+06 4.9202138835973628e+06 4.6741188276016209e+06 4.4164276440679524e+06 4.1513290214580917e+06 3.8837313129386343e+06 3.6189414216718436e+06 3.3622479904067246e+06 3.1184678127320907e+06 2.8915358466654448e+06 2.6841972491386561e+06 2.4978821498172036e+06 2.3328036783431545e+06 2.1881800865302384e+06 2.0624061759115311e+06 1.9534594189440603e+06 1.8592216531936165e+06 1.7776261843038485e+06 1.7068256061910039e+06 1.6452144443067892e+06 1.5914976109525540e+06 1.5445652557516510e+06 1.5035675761254912e+06 1.4677501664548060e+06 1.4365694032160412e+06 1.4095033605464504e+06 1.3861198827092981e+06 1.3660822197633404e+06 1.3490434785938850e+06 1.3346678244565350e+06 1.3227064476252540e+06 1.3128563207332511e+06 1.3048869538034271e+06 1.2985381140296741e+06 1.2935799141110890e+06 1.2897047804603619e+06 1.2866157939129793e+06 1.2840843339190697e+06 1.2818973228689048e+06 1.2798516491664869e+06 1.2784099326213549e+06 1.2769560754414585e+06 1.2754734363772396e+06 1.2739208176991628e+06 1.2723192195295068e+06 1.2706233125852258e+06 1.2688862955724939e+06 1.2669587877016428e+06 1.2648959213014934e+06 1.2626597322306759e+06 1.2602205749805716e+06 1.2575424255773921e+06 1.2545847021064565e+06 1.2512898719880439e+06 1.2476612559909201e+06 1.2435665297929780e+06 1.2389755956694870e+06 1.2338218368669304e+06 1.2280335637214582e+06 1.2215368458013998e+06 1.2142575285880661e+06 1.2061143451461012e+06 1.1971151766153218e+06 1.1871070316797434e+06 1.1761223940795024e+06 1.1641866775935804e+06 1.1513935042167688e+06 1.1379021641229014e+06 1.1240158468211824e+06 1.1101864006174062e+06 1.0971498687137014e+06 1.0858392966259657e+06 1.0777080716241556e+06 1.0747838069727591e+06 1.0800110933778116e+06 1.0976770290105138e+06 1.1342780742975830e+06 1.2000987568190990e+06 1.3124631366179034e+06 1.4735174928663578e+05 +1.5849433710859433e+01 6.6076191232991600e+06 6.6069272735962411e+06 6.6057465790783809e+06 6.6041192365394449e+06 6.6023129173103645e+06 6.6008002271227818e+06 6.5998155830485541e+06 6.5989838052832931e+06 6.5978815645995112e+06 6.5963638377621574e+06 6.5944082438237602e+06 6.5919505563496975e+06 6.5888976900876435e+06 6.5851470552224861e+06 6.5805858279206455e+06 6.5750800828510467e+06 6.5684688186776815e+06 6.5605627074617082e+06 6.5511406044767527e+06 6.5399441436456274e+06 6.5266728422090402e+06 6.5109731313581495e+06 6.4923709156310558e+06 6.4700526604777277e+06 6.4430761343406746e+06 6.4109801291892761e+06 6.3733350987452846e+06 6.3294258901747111e+06 6.2783753612642186e+06 6.2192120253034877e+06 6.1508890392032228e+06 6.0723007012174828e+06 5.9823076253811158e+06 5.8797736118042367e+06 5.7636168728361148e+06 5.6328759355103746e+06 5.4867925377845606e+06 5.3249086548309997e+06 5.1471745485039158e+06 4.9540577351475712e+06 4.7306654595513437e+06 4.4930091591237662e+06 4.2442708443890708e+06 3.9885113683995465e+06 3.7304787256637006e+06 3.4752956242771633e+06 3.2280559895406202e+06 2.9933877770710955e+06 2.7750597310283957e+06 2.5756881032614191e+06 2.3966201950434302e+06 2.2380325611209972e+06 2.0991479138381165e+06 1.9784023977586979e+06 1.8738365698299934e+06 1.7834042417238036e+06 1.7051130848372353e+06 1.6371846632875828e+06 1.5780751731343297e+06 1.5265402010108016e+06 1.4815140926114125e+06 1.4421811919929460e+06 1.4078177092755639e+06 1.3779021391425130e+06 1.3519339016705442e+06 1.3294985363254966e+06 1.3102730639728529e+06 1.2939248142024120e+06 1.2801316861636089e+06 1.2686550165902064e+06 1.2592041626934991e+06 1.2515579683065559e+06 1.2454667672044602e+06 1.2407099543753075e+06 1.2369924003452077e+06 1.2340292187517802e+06 1.2316009932877172e+06 1.2295032553851013e+06 1.2275411493745137e+06 1.2261583495670799e+06 1.2247639119186834e+06 1.2233418715651666e+06 1.2218527128674954e+06 1.2203165769062759e+06 1.2186899929925187e+06 1.2170239549201608e+06 1.2151752299918181e+06 1.2131966789067653e+06 1.2110518892000278e+06 1.2087124270393357e+06 1.2061437408295330e+06 1.2033069073260787e+06 1.2001467514801652e+06 1.1966664283296347e+06 1.1927390638673122e+06 1.1883357725744832e+06 1.1833926604787684e+06 1.1778409680438635e+06 1.1716097865525831e+06 1.1646279923641577e+06 1.1568176459514408e+06 1.1481862774948580e+06 1.1385871891626210e+06 1.1280515197241625e+06 1.1166036442658699e+06 1.1043333582541866e+06 1.0913934413220133e+06 1.0780746909295036e+06 1.0648104926467622e+06 1.0523067793598194e+06 1.0414584978841296e+06 1.0336596162053987e+06 1.0308548794637416e+06 1.0358685157099889e+06 1.0528124018365378e+06 1.0879174754204792e+06 1.1510479192715259e+06 1.2588196821179821e+06 1.4074245261587799e+05 +1.5906062624916729e+01 6.3638180789306248e+06 6.3631513003328163e+06 6.3620136168390866e+06 6.3604449115035245e+06 6.3587025965440348e+06 6.3572413946648398e+06 6.3562870981954066e+06 6.3554785188503219e+06 6.3544078921834491e+06 6.3529351488666385e+06 6.3510383385901824e+06 6.3486551808168357e+06 6.3456955728035271e+06 6.3420601344612753e+06 6.3376395808791211e+06 6.3323041854017694e+06 6.3258980056758178e+06 6.3182376501245033e+06 6.3091089177980619e+06 6.2982615704061203e+06 6.2854046023218995e+06 6.2701956385747381e+06 6.2521756826454094e+06 6.2305571121437261e+06 6.2044273877020441e+06 6.1733400852885516e+06 6.1368800854788618e+06 6.0943558525080318e+06 6.0449192526254337e+06 5.9876312775872201e+06 5.9214805956535293e+06 5.8453997135885386e+06 5.7582895593830282e+06 5.6590554083137568e+06 5.5466567047026921e+06 5.4201710630011484e+06 5.2788746357849194e+06 5.1223360164174242e+06 4.9505205802193731e+06 4.7638954081831137e+06 4.5480934219583347e+06 4.3186102187073715e+06 4.0785381556061707e+06 3.8318134707125765e+06 3.5830283308327110e+06 3.3371269400605098e+06 3.0990150153117310e+06 2.8731384870121931e+06 2.6631063904559049e+06 2.4714116431780448e+06 2.2993228783555222e+06 2.1469826454693736e+06 2.0136191241177015e+06 1.8977092629582514e+06 1.7973551298281192e+06 1.7105803768111866e+06 1.6354646111251863e+06 1.5702959826482504e+06 1.5135901352628274e+06 1.4641514560531941e+06 1.4209568111159876e+06 1.3832233808072167e+06 1.3502567988088729e+06 1.3215568140330042e+06 1.2966433514146220e+06 1.2751189468256861e+06 1.2566738488504416e+06 1.2409890461511901e+06 1.2277556288082513e+06 1.2167446803229961e+06 1.2076774526992531e+06 1.2003417587718584e+06 1.1944980842201659e+06 1.1899347446253062e+06 1.1863685682436605e+06 1.1835262301586412e+06 1.1811971608356256e+06 1.1791851647999114e+06 1.1773033175834748e+06 1.1759771005853447e+06 1.1746397282795247e+06 1.1732758855799718e+06 1.1718476723811370e+06 1.1703744047972902e+06 1.1688143967962260e+06 1.1672165261558001e+06 1.1654434625373699e+06 1.1635458859274646e+06 1.1614888740631966e+06 1.1592451567746636e+06 1.1567815965054003e+06 1.1540608629650050e+06 1.1510300449193388e+06 1.1476921397478448e+06 1.1439255057008383e+06 1.1397024223358310e+06 1.1349616105766459e+06 1.1296371249178154e+06 1.1236609586265320e+06 1.1169648988520112e+06 1.1094742013417289e+06 1.1011960606687805e+06 1.0919898210950980e+06 1.0818853305808604e+06 1.0709059666731649e+06 1.0591378499263383e+06 1.0467275073937256e+06 1.0339538354888356e+06 1.0212324883183572e+06 1.0092404828222637e+06 9.9883617482227436e+05 9.9135646815544064e+05 9.8866652301776828e+05 9.9347497437934275e+05 1.0097254204300327e+06 1.0433937964207358e+06 1.1039405950797445e+06 1.2073017127428728e+06 1.3442446030619668e+05 +1.5962691538974024e+01 6.1285632354995850e+06 6.1279207200301057e+06 6.1268244536598492e+06 6.1253123783892319e+06 6.1236319328491688e+06 6.1222205811128635e+06 6.1212958027653303e+06 6.1205099127041576e+06 6.1194701443742979e+06 6.1180412382905791e+06 6.1162016744136438e+06 6.1138910666389074e+06 6.1110222067282582e+06 6.1074988356814096e+06 6.1032151068372792e+06 6.0980453757657027e+06 6.0918386155258687e+06 6.0844172043467583e+06 6.0755736902744686e+06 6.0650657336080857e+06 6.0526115378849041e+06 6.0378796036068089e+06 6.0204256002677372e+06 5.9994870738261798e+06 5.9741803406540398e+06 5.9440733365478795e+06 5.9087649272426628e+06 5.8675864860069724e+06 5.8197180172905736e+06 5.7642520043618968e+06 5.7002115291178217e+06 5.6265661003962625e+06 5.5422556532937428e+06 5.4462255481074173e+06 5.3374750176012898e+06 5.2151193110175896e+06 5.0784675984894745e+06 4.9271138362649512e+06 4.7610375108381696e+06 4.5807046510150684e+06 4.3722566670584641e+06 4.1506881655917708e+06 3.9190037704168116e+06 3.6810182773825703e+06 3.4411724632271291e+06 3.2042375779746491e+06 2.9749374546879185e+06 2.7575425955096493e+06 2.5555086032792530e+06 2.3712104139716704e+06 2.2058419673970183e+06 2.0595142376499616e+06 1.9314617911917551e+06 1.8202018140378729e+06 1.7238963283573182e+06 1.6406367394614820e+06 1.5685722269230909e+06 1.5060552144320796e+06 1.4516586434193165e+06 1.4042338911596539e+06 1.3627987276285458e+06 1.3266019062221244e+06 1.2949773358284058e+06 1.2674451874895205e+06 1.2435450814165531e+06 1.2228958773719121e+06 1.2052005289580056e+06 1.1901531416250293e+06 1.1774574739460316e+06 1.1668939715247026e+06 1.1581953099278419e+06 1.1511579197838097e+06 1.1455520395504737e+06 1.1411745571483453e+06 1.1377537903401067e+06 1.1350275219574163e+06 1.1327936849952906e+06 1.1308640336498609e+06 1.1290592621599410e+06 1.1277873828543851e+06 1.1265048112975056e+06 1.1251968565870563e+06 1.1238271701162446e+06 1.1224142758088068e+06 1.1209182011851398e+06 1.1193857934420253e+06 1.1176853883175678e+06 1.1158655725133261e+06 1.1138928548150309e+06 1.1117410825404350e+06 1.1093784760532689e+06 1.1067692347951969e+06 1.1038626212168252e+06 1.1006614827276662e+06 1.0970492001850596e+06 1.0929991728393226e+06 1.0884526327361632e+06 1.0833463367193036e+06 1.0776150648726935e+06 1.0711933996104454e+06 1.0640096648702633e+06 1.0560707343092011e+06 1.0472417525710174e+06 1.0375513288535326e+06 1.0270218827563355e+06 1.0157360057656999e+06 1.0038342204981282e+06 9.9158399463675136e+05 9.7938395426992059e+05 9.6788334924138780e+05 9.5790539478695497e+05 9.5073219604831864e+05 9.4815248649845168e+05 9.5276389604365663e+05 9.6834842248711572e+05 1.0006371188498755e+06 1.0587028085560575e+06 1.1578283263824412e+06 1.2838520357153872e+05 +1.6019320453031320e+01 5.9015757301650625e+06 5.9009566765567912e+06 5.8999003961578524e+06 5.8984430632171016e+06 5.8968223850056585e+06 5.8954593382518003e+06 5.8945632761871573e+06 5.8937995708480459e+06 5.8927899145982601e+06 5.8914037219410129e+06 5.8896198952774080e+06 5.8873798983887099e+06 5.8845993287278740e+06 5.8811849629493281e+06 5.8770342934588073e+06 5.8720256446199603e+06 5.8660127647288162e+06 5.8588236389528885e+06 5.8502573740429552e+06 5.8400793049877817e+06 5.8280165827617431e+06 5.8137482723530494e+06 5.7968442867163988e+06 5.7765666140280170e+06 5.7520596091276007e+06 5.7229051534061488e+06 5.6887156676257020e+06 5.6488447440555329e+06 5.6024996771425325e+06 5.5488034802298117e+06 5.4868125801492622e+06 5.4155323142188480e+06 5.3339403545787185e+06 5.2410207972145937e+06 5.1358112643131958e+06 5.0174632350475034e+06 4.8853175499159778e+06 4.7389923230691645e+06 4.5784801980228620e+06 4.4042455770473843e+06 4.2029216681745192e+06 3.9890165897646639e+06 3.7654491416719556e+06 3.5359158015123056e+06 3.3047103003618186e+06 3.0764363446841626e+06 2.8556420272089741e+06 2.6464288080961243e+06 2.4521049122460592e+06 2.2749324362284276e+06 2.1160344228629754e+06 1.9754925674173452e+06 1.8525486607749767e+06 1.7457595347863811e+06 1.6533456277844771e+06 1.5734640575872140e+06 1.5043312780347860e+06 1.4443617455038596e+06 1.3921836192477350e+06 1.3466935182292273e+06 1.3069485570828267e+06 1.2722278445277966e+06 1.2418924586455408e+06 1.2154821913249320e+06 1.1925555788710795e+06 1.1727471577754347e+06 1.1557720836358445e+06 1.1413370569976605e+06 1.1291580022786499e+06 1.1190243570330853e+06 1.1106797670448041e+06 1.1039289426434992e+06 1.0985514909582236e+06 1.0943525369667225e+06 1.0910714372408520e+06 1.0884566456935641e+06 1.0863142663871150e+06 1.0844636918409630e+06 1.0827329343103466e+06 1.0815132331901400e+06 1.0802832841649051e+06 1.0790289958722929e+06 1.0777155096204849e+06 1.0763605886657555e+06 1.0749259056951839e+06 1.0734563594297764e+06 1.0718257245294342e+06 1.0700805784375600e+06 1.0681888041129382e+06 1.0661253219346299e+06 1.0638596562120074e+06 1.0613574753106271e+06 1.0585701286842804e+06 1.0555003210992487e+06 1.0520362544625767e+06 1.0481524040263210e+06 1.0437924131402393e+06 1.0388956335751012e+06 1.0333995214530297e+06 1.0272413433436289e+06 1.0203523691437406e+06 1.0127391656622598e+06 1.0042724455219808e+06 9.9497962918677472e+05 9.8488221638646303e+05 9.7405940981760691e+05 9.6264596634441591e+05 9.5089837921247911e+05 9.3919892312444840e+05 9.2817018578793958e+05 9.1860163703012571e+05 9.1172276230081159e+05 9.0924890612257586e+05 9.1367110631700698e+05 9.2861618390212313e+05 9.5958004375501547e+05 1.0152632497133495e+06 1.1103215362205855e+06 1.2261264170359424e+05 +1.6075949367088615e+01 5.6825852375316760e+06 5.6819887467768146e+06 5.6809710973809231e+06 5.6795666593187619e+06 5.6780037028587125e+06 5.6766873583663646e+06 5.6758192094708346e+06 5.6750771791809192e+06 5.6740969025024567e+06 5.6727523213675134e+06 5.6710227519146772e+06 5.6688514670175742e+06 5.6661567816456296e+06 5.6628484256085232e+06 5.6588271329857269e+06 5.6539750861074803e+06 5.6481506718393089e+06 5.6411873230985561e+06 5.6328905194416689e+06 5.6230330518661253e+06 5.6113507632194189e+06 5.5975329793033218e+06 5.5811634441271489e+06 5.5615278794882698e+06 5.5377978803060781e+06 5.5095688691224400e+06 5.4764664029885987e+06 5.4378656207903251e+06 5.3930002805095809e+06 5.3410229891242497e+06 5.2810224782360522e+06 5.2120387722214153e+06 5.1330860462439870e+06 5.0431858224878814e+06 4.9414127570194509e+06 4.8269532005525585e+06 4.6991783651827844e+06 4.5577293666037554e+06 4.4026110975141088e+06 4.2342857998017343e+06 4.0398622745524002e+06 3.8333763110958738e+06 3.6176627823224356e+06 3.3963029218045254e+06 3.1734476663429048e+06 2.9535384516929472e+06 2.7409535963116772e+06 2.5396316993352682e+06 2.3527394468816714e+06 2.1824310348550337e+06 2.0297622341692513e+06 1.8947876306625686e+06 1.7767569999310097e+06 1.6742662062478173e+06 1.5855925854973290e+06 1.5089569736607682e+06 1.4426408649996808e+06 1.3851185766170903e+06 1.3350714744842297e+06 1.2914397306894145e+06 1.2533183007880677e+06 1.2200154751764457e+06 1.1909184360317313e+06 1.1655858245611927e+06 1.1435943433244841e+06 1.1245935828463193e+06 1.1083104166894089e+06 1.0944636386520721e+06 1.0827808554429635e+06 1.0730601403982476e+06 1.0650556734259750e+06 1.0585801191395062e+06 1.0534220837026658e+06 1.0493946063885817e+06 1.0462476487922344e+06 1.0437399156741826e+06 1.0416853630335665e+06 1.0399107220247813e+06 1.0382510336103631e+06 1.0370814336887095e+06 1.0359020122232217e+06 1.0346992536942582e+06 1.0334397300797943e+06 1.0321404742847182e+06 1.0307647384119033e+06 1.0293555516027103e+06 1.0277919090520529e+06 1.0261184597343993e+06 1.0243044060682218e+06 1.0223256987734173e+06 1.0201531141875052e+06 1.0177537311176253e+06 1.0150809026703445e+06 1.0121371979413637e+06 1.0088154461333057e+06 1.0050911564368329e+06 1.0009102875004454e+06 9.9621468271017645e+05 9.9094436768239934e+05 9.8503918627510208e+05 9.7843323680018703e+05 9.7113279268400522e+05 9.6301391110135848e+05 9.5410287185726501e+05 9.4442029143129906e+05 9.3404211865549989e+05 9.2309757419254712e+05 9.1183261378631683e+05 9.0061381153470255e+05 8.9003815567452670e+05 8.8086271255810931e+05 8.7426644362234033e+05 8.7189422611136059e+05 8.7613475004953949e+05 8.9046583774216659e+05 9.2015760795457906e+05 9.7355318567542010e+05 1.0647061738506306e+06 1.1709524063470717e+05 +1.6132578281145911e+01 5.4713288803618085e+06 5.4707542335744482e+06 5.4697738937209025e+06 5.4684204445515303e+06 5.4669133403560044e+06 5.4656422397018624e+06 5.4648011998033496e+06 5.4640803407149250e+06 5.4631287241926324e+06 5.4618246739295889e+06 5.4601479121874841e+06 5.4580434800674897e+06 5.4554323245367492e+06 5.4522270484430846e+06 5.4483315323279472e+06 5.4436317078789817e+06 5.4379904674909981e+06 5.4312465362219336e+06 5.4232115848721825e+06 5.4136656469128933e+06 5.4023530075867185e+06 5.3889729570557959e+06 5.3731226679827534e+06 5.3541109044057783e+06 5.3311357216315446e+06 5.3038056885580011e+06 5.2717590909368778e+06 5.2343919592858106e+06 5.1909637099547498e+06 5.1406556317359945e+06 5.0825877487812713e+06 5.0158336626413027e+06 4.9394428527485952e+06 4.8524729969558027e+06 4.7540344720411729e+06 4.6433471871016501e+06 4.5198114740172047e+06 4.3830903406817410e+06 4.2332000656481665e+06 4.0706002351990771e+06 3.8828595136885839e+06 3.6835551820769445e+06 3.4754400691892584e+06 3.2619831880222224e+06 3.0471968398199459e+06 2.8353653266954059e+06 2.6307029849992460e+06 2.4369915336401402e+06 2.2572617502050288e+06 2.0935646722766745e+06 1.9468922594163136e+06 1.8172740362350312e+06 1.7039684506266580e+06 1.6056097666641509e+06 1.5205307198141126e+06 1.4470139160690785e+06 1.3834037193624112e+06 1.3282322030719433e+06 1.2802319955111872e+06 1.2383851914824282e+06 1.2018231374476070e+06 1.1698821744545884e+06 1.1419745632064210e+06 1.1176770514361758e+06 1.0965837864415904e+06 1.0783588136797494e+06 1.0627402589681388e+06 1.0494585266619516e+06 1.0382524406122059e+06 1.0289283672725647e+06 1.0212506012063751e+06 1.0150394481100336e+06 1.0100921575153016e+06 1.0062293723155723e+06 1.0032112416515427e+06 1.0008063167516786e+06 9.9883609832488897e+05 9.9713436771969695e+05 9.9554291626891273e+05 9.9442142008641758e+05 9.9329051144395920e+05 9.9213722785869695e+05 9.9092951500331867e+05 9.8968370458607143e+05 9.8836456490151782e+05 9.8701333131756133e+05 9.8551400964363629e+05 9.8390939803130366e+05 9.8216996574529097e+05 9.8027265276026935e+05 9.7818943751494051e+05 9.7588875301442458e+05 9.7332587587096146e+05 9.7050324615296710e+05 9.6731813411757932e+05 9.6374704239952937e+05 9.5973815262239042e+05 9.5523570042784070e+05 9.5018217846627708e+05 9.4451990510631434e+05 9.3818569405355200e+05 9.3118553823193966e+05 9.2340062458797498e+05 9.1485613846357109e+05 9.0557184830978222e+05 8.9562057884384517e+05 8.8512623529170617e+05 8.7432465609527624e+05 8.6356734061143768e+05 8.5342669951520185e+05 8.4462868629907875e+05 8.3830375376722775e+05 8.3602912166141125e+05 8.4009521391287597e+05 8.5383679556565941e+05 8.8230720273473707e+05 9.3350637465714465e+05 1.0209097952087084e+06 1.1182195233122261e+05 +1.6189207195203206e+01 5.2675518805714408e+06 5.2669982782116486e+06 5.2660539450457348e+06 5.2647497353271190e+06 5.2632965681255041e+06 5.2620692635244317e+06 5.2612545815326674e+06 5.2605543918059841e+06 5.2596307253680080e+06 5.2583661458813529e+06 5.2567407734234324e+06 5.2547013739314927e+06 5.2521714450162807e+06 5.2490663839826463e+06 5.2452931252677049e+06 5.2407412432781970e+06 5.2352780064899195e+06 5.2287472800807999e+06 5.2209667487829477e+06 5.2117234800514737e+06 5.2007699580693897e+06 5.1878151480149003e+06 5.1724692586564021e+06 5.1540634218641417e+06 5.1318213920378489e+06 5.1053644991834927e+06 5.0743433611137634e+06 5.0381742620414039e+06 4.9961414924732279e+06 4.9474541353249690e+06 4.8912625224996461e+06 4.8266727537440574e+06 4.7527684484973643e+06 4.6686422077982705e+06 4.5734388572969008e+06 4.4664105952894082e+06 4.3469856671896353e+06 4.2148479091800945e+06 4.0700241650951826e+06 3.9129709071650417e+06 3.7317013971054498e+06 3.5393478942520893e+06 3.3385830505523579e+06 3.1327666304438673e+06 2.9257763660817482e+06 2.7217444291585898e+06 2.5247267957938956e+06 2.3383540904429886e+06 2.1655266098065278e+06 2.0081967859155305e+06 1.8672960695901301e+06 1.7428308568996715e+06 1.6340688872864067e+06 1.5396821753167845e+06 1.4580573796491351e+06 1.3875369741053681e+06 1.3265260834554785e+06 1.2736124987827356e+06 1.2275782312137515e+06 1.1874457242740321e+06 1.1523813173097905e+06 1.1217483122193653e+06 1.0949830608333894e+06 1.0716797023772669e+06 1.0514491346795824e+06 1.0339692818031827e+06 1.0189890737781245e+06 1.0062500612797699e+06 9.9550183790076140e+05 9.8655873356149311e+05 9.7919475404549844e+05 9.7323754472260503e+05 9.6849265629538929e+05 9.6478803625737235e+05 9.6189361955866951e+05 9.5958741480470495e+05 9.5769817166709621e+05 9.5606644410640222e+05 9.5454050606725877e+05 9.5346519280469173e+05 9.5238085956487583e+05 9.5127507496620959e+05 9.5011710358056671e+05 9.4892260395422555e+05 9.4765779978895455e+05 9.4636220551589935e+05 9.4492463577518822e+05 9.4338611253193952e+05 9.4171832129775023e+05 9.3989915179325885e+05 9.3790173655018583e+05 9.3569580868530751e+05 9.3323849126020039e+05 9.3053210163715295e+05 9.2747817212357884e+05 9.2405415982199751e+05 9.2021038054832490e+05 9.1589336665648315e+05 9.1104797929962853e+05 9.0561891253092291e+05 8.9954558676721947e+05 8.9283372676393099e+05 8.8536944278338319e+05 8.7717687009245285e+05 8.6827496298011241e+05 8.5873354682277958e+05 8.4867142370103265e+05 8.3831471882664133e+05 8.2800045867072442e+05 8.1827745897929498e+05 8.0984180154717818e+05 8.0377736853956745e+05 8.0159642415252212e+05 8.0549505124767625e+05 8.1867067104198749e+05 8.4596849491882301e+05 8.9505898245941079e+05 9.7886258923818427e+05 1.0678219498723520e+05 +1.6245836109260502e+01 5.0710068275919985e+06 5.0704734906673376e+06 5.0695639186240975e+06 5.0683072555211494e+06 5.0669062227790263e+06 5.0657212565984791e+06 5.0649322243609093e+06 5.0642522123623909e+06 5.0633557975043505e+06 5.0621296478017010e+06 5.0605542767813671e+06 5.0585781282741455e+06 5.0561271737279911e+06 5.0531195270182174e+06 5.0494650868832059e+06 5.0450569657687461e+06 5.0397666822025925e+06 5.0334430930802356e+06 5.0259097238980709e+06 5.0169604726298293e+06 5.0063557848241469e+06 4.9938140183823071e+06 4.9789580352870952e+06 4.9611406775424434e+06 4.9396106555218603e+06 4.9140016844714461e+06 4.8839763283556923e+06 4.8489705038740234e+06 4.8082926120838085e+06 4.7611786660115328e+06 4.7068083473693030e+06 4.6443192053979756e+06 4.5728278689851500e+06 4.4914606670662779e+06 4.3993956425727606e+06 4.2959160565804085e+06 4.1804769059941997e+06 4.0527818351923521e+06 3.9128674738421696e+06 3.7611867566655423e+06 3.5861827297239574e+06 3.4005557883415688e+06 3.2069002575815623e+06 3.0084695732644093e+06 2.8090108732187632e+06 2.6125090700980509e+06 2.4228672349618329e+06 2.2435704936440578e+06 2.0773938931952056e+06 1.9261956299182160e+06 1.7908497969104378e+06 1.6713414843590592e+06 1.5669482783034767e+06 1.4763792801688607e+06 1.3980736178683972e+06 1.3304317765254187e+06 1.2719175936404062e+06 1.2211726036820919e+06 1.1770263840882445e+06 1.1385402078165100e+06 1.1049140593998877e+06 1.0755371516418508e+06 1.0498689769660148e+06 1.0275203778516242e+06 1.0081183348093405e+06 9.9135409613143769e+05 9.7698696506611491e+05 9.6476919216221094e+05 9.5446071046926721e+05 9.4588349627058383e+05 9.3882087858538877e+05 9.3310755242757138e+05 9.2855704045459465e+05 9.2500430699465622e+05 9.2222868624727754e+05 9.2001726984347752e+05 9.1820577176204813e+05 9.1664125145533495e+05 9.1517820792129380e+05 9.1414723060847574e+05 9.1310760985075659e+05 9.1204742426729610e+05 9.1093720464196813e+05 9.0979196331016684e+05 9.0857932094798121e+05 9.0733714102099708e+05 9.0595885306618677e+05 9.0448377458570641e+05 9.0288475868986524e+05 9.0114060685537988e+05 8.9922555954053369e+05 8.9711059797276556e+05 8.9475461757419130e+05 8.9215981903232215e+05 8.8923182465630118e+05 8.8594900850784138e+05 8.8226373522602476e+05 8.7812474201011227e+05 8.7347916377000418e+05 8.6827397521758568e+05 8.6245109899490117e+05 8.5601600348521851e+05 8.4885952383493958e+05 8.4100478787944082e+05 8.3246996831350191e+05 8.2332201114515704e+05 8.1367481943690660e+05 8.0374519370280637e+05 7.9385626625226345e+05 7.8453420269260881e+05 7.7644640662357165e+05 7.7063205301073042e+05 7.6854104855735658e+05 7.7227890912407299e+05 7.8491120581655053e+05 8.1108335026057228e+05 8.5814950141016697e+05 9.3849728924958478e+05 1.0196583398967366e+05 +1.6302465023317797e+01 4.8814536574476277e+06 4.8809400155619252e+06 4.8800639059719434e+06 4.8788531525708996e+06 4.8775024434840241e+06 4.8763584670922924e+06 4.8755943640800603e+06 4.8749340408294275e+06 4.8740641950661764e+06 4.8728754518083958e+06 4.8713487238878272e+06 4.8694340828680545e+06 4.8670599011699557e+06 4.8641469314560657e+06 4.8606079503401406e+06 4.8563395056608934e+06 4.8512172432636209e+06 4.8450948669327386e+06 4.8378015738337180e+06 4.8291378939433945e+06 4.8188720024183951e+06 4.8067313745072940e+06 4.7923511520405533e+06 4.7751052458706386e+06 4.7542665971289817e+06 4.7294809397007618e+06 4.7004224082989627e+06 4.6665459473585021e+06 4.6271833250224860e+06 4.5815966436622199e+06 4.5289940032200078e+06 4.4685433833113769e+06 4.3993933247260964e+06 4.3207027252176106e+06 4.2316816526919007e+06 4.1316432461839118e+06 4.0200681347892680e+06 3.8966787934035552e+06 3.7615208974922379e+06 3.6150434541383917e+06 3.4461049227786912e+06 3.2669866680521015e+06 3.0802065196198737e+06 2.8889144520141231e+06 2.6967308924164013e+06 2.5074982360479543e+06 2.3249719409754989e+06 2.1524970453335983e+06 1.9927283873923051e+06 1.8474341210650993e+06 1.7174339872901365e+06 1.6026934882601481e+06 1.5025005514060657e+06 1.4156006892738608e+06 1.3404840682648872e+06 1.2756073735916296e+06 1.2194911669127974e+06 1.1708288143955776e+06 1.1284957045120157e+06 1.0915904733967243e+06 1.0593454517580813e+06 1.0311747518920880e+06 1.0065600918731237e+06 9.8512835506100603e+05 9.6652196222125588e+05 9.5044495266987802e+05 9.3666658831668948e+05 9.2494939028900745e+05 9.1506321729898534e+05 9.0683738699100504e+05 9.0006417853232019e+05 8.9458505751517252e+05 8.9022120186676551e+05 8.8681431583086262e+05 8.8415276093336649e+05 8.8203235170177359e+05 8.8029549245420017e+05 8.7879549111424771e+05 8.7739282400824584e+05 8.7640440682273894e+05 8.7540770740384830e+05 8.7439129407599079e+05 8.7332691317117226e+05 8.7222895672855002e+05 8.7106638622476661e+05 8.6987548138252762e+05 8.6855410024825169e+05 8.6713992479288834e+05 8.6560692894811067e+05 8.6393478942027828e+05 8.6209881020988710e+05 8.6007117065243726e+05 8.5781246731707198e+05 8.5532478994611080e+05 8.5251768552157376e+05 8.4937040896369540e+05 8.4583729165358364e+05 8.4186918730560562e+05 8.3741541350052913e+05 8.3242513423730736e+05 8.2684267393598496e+05 8.2067325589860964e+05 8.1381224943970365e+05 8.0628181593576807e+05 7.9809937779735040e+05 7.8932911701604235e+05 7.8008023389766959e+05 7.7056057782009256e+05 7.6107994336247887e+05 7.5214275433239399e+05 7.4438888371709292e+05 7.3881459088633081e+05 7.3680992300622503e+05 7.4039345755808218e+05 7.5250419757157646e+05 7.7759575911081338e+05 8.2271867171988683e+05 8.9974908690993313e+05 9.7363163626600086e+04 +1.6359093937375093e+01 4.6986596622583913e+06 4.6981648871016447e+06 4.6973211091471910e+06 4.6961547215815308e+06 4.6948526563239275e+06 4.6937482836516257e+06 4.6930084052561941e+06 4.6923672954771519e+06 4.6915233516723048e+06 4.6903710106353676e+06 4.6888915960704805e+06 4.6870367570255743e+06 4.6847371968995612e+06 4.6819162295824979e+06 4.6784894261147594e+06 4.6743566693483582e+06 4.6693976127332002e+06 4.6634706657600254e+06 4.6564105321314838e+06 4.6480241802410120e+06 4.6380872887500748e+06 4.6263361817394821e+06 4.6124179168527350e+06 4.5957268486618437e+06 4.5755594414844280e+06 4.5515730903567048e+06 4.5234531356173493e+06 4.4906729608117137e+06 4.4525869775212025e+06 4.4084825594658423e+06 4.3575953190252017e+06 4.2991226760640834e+06 4.2322440179312956e+06 4.1561496875596563e+06 4.0700806236866284e+06 3.9733786988907233e+06 3.8655490966891963e+06 3.7463321856590169e+06 3.6157819849162498e+06 3.4743432154172445e+06 3.3112758103311597e+06 3.1384546176504605e+06 2.9583227833331898e+06 2.7739296349241752e+06 2.5887726822853759e+06 2.4065564171527349e+06 2.2308938171622101e+06 2.0649950636984056e+06 1.9113996426887629e+06 1.7717896887869518e+06 1.6469334568199355e+06 1.5367784791268881e+06 1.4406234628398160e+06 1.3572496458318315e+06 1.2851968260676896e+06 1.2229761225446842e+06 1.1691628908172010e+06 1.1225004781175016e+06 1.0819083881239302e+06 1.0465212053015094e+06 1.0156023546232432e+06 9.8858987370299362e+05 9.6498682568204519e+05 9.4443549739611871e+05 9.2659313195296668e+05 9.1117604690012743e+05 8.9796306410163594e+05 8.8672656249523629e+05 8.7724592856087431e+05 8.6935752796955931e+05 8.6286223129450134e+05 8.5760800622712611e+05 8.5342338134907652e+05 8.5015653436910047e+05 8.4760449633403751e+05 8.4557145823819423e+05 8.4390625109397608e+05 8.4246818400905048e+05 8.4112347239029233e+05 8.4017590805424028e+05 8.3922040797849675e+05 8.3824601067416999e+05 8.3722562931000267e+05 8.3617306054347113e+05 8.3505855265651667e+05 8.3391686619953439e+05 8.3265010861786164e+05 8.3129439258329850e+05 8.2982476788112673e+05 8.2822175132967054e+05 8.2646166780347831e+05 8.2451784667172167e+05 8.2235251719541789e+05 8.1996766363268520e+05 8.1727659876119706e+05 8.1425942362052365e+05 8.1087235742739518e+05 8.0706828548904194e+05 8.0279862048423430e+05 7.9801462786014052e+05 7.9266293725310266e+05 7.8674853768723889e+05 7.8017114936693443e+05 7.7295200656727189e+05 7.6510781151740253e+05 7.5670009308982745e+05 7.4783353751772642e+05 7.3870740218271234e+05 7.2961867889192712e+05 7.2105092287369887e+05 7.1361757984653965e+05 7.0827371598856442e+05 7.0635192045297031e+05 7.0978732084866252e+05 7.2139743023897847e+05 7.4545176429812098e+05 7.8870940517834318e+05 8.6255554879262636e+05 9.2964889511522895e+04 +1.6415722851432388e+01 4.5223989609227329e+06 4.5219223844335629e+06 4.5211098938836623e+06 4.5199862124796584e+06 4.5187311253507892e+06 4.5176651219022227e+06 4.5169487692216076e+06 4.5163264000353999e+06 4.5155076992833652e+06 4.5143907790748933e+06 4.5129573763574352e+06 4.5111606716074944e+06 4.5089336313501168e+06 4.5062020538354907e+06 4.5028842237552265e+06 4.4988832609718284e+06 4.4940827097658832e+06 4.4883455477130599e+06 4.4815118238765709e+06 4.4733947562451260e+06 4.4637773065230856e+06 4.4524043858274026e+06 4.4389346127546933e+06 4.4227821763527775e+06 4.4032663739130506e+06 4.3800559130950291e+06 4.3528469848465715e+06 4.3211308389772205e+06 4.2842838263070462e+06 4.2416177962151626e+06 4.1923949929791233e+06 4.1358413149402775e+06 4.0711659621556560e+06 3.9975896336000040e+06 3.9143830219269213e+06 3.8209156280964129e+06 3.7167161524494542e+06 3.6015419598775264e+06 3.4754547472921903e+06 3.3388946211367534e+06 3.1815094694238431e+06 3.0147798232546612e+06 2.8410759357083053e+06 2.6633492482696744e+06 2.4849780572767830e+06 2.3095334393994343e+06 2.1404908685000995e+06 1.9809307250822594e+06 1.8332818205287934e+06 1.6991441292510470e+06 1.5792371522094209e+06 1.4734919751482152e+06 1.3812184702651361e+06 1.3012329068619458e+06 1.2321233319334129e+06 1.1724535764159681e+06 1.1208519166002944e+06 1.0761098896152221e+06 1.0371894762413447e+06 1.0032598442442912e+06 9.7361430649720225e+05 9.4771388774583617e+05 9.2508214877917303e+05 9.0537616660012491e+05 8.8826741237857612e+05 8.7348398878835514e+05 8.6081389421474817e+05 8.5003896857160854e+05 8.4094774352705746e+05 8.3338335068866133e+05 8.2715490712768759e+05 8.2211662435324956e+05 8.1810408862727217e+05 8.1497169476739014e+05 8.1252479914183007e+05 8.1057563600110065e+05 8.0897920935256418e+05 8.0760059159287123e+05 8.0631150809355429e+05 8.0540315535415139e+05 8.0448719923266978e+05 8.0355312965598353e+05 8.0257497980101884e+05 8.0156597488897888e+05 8.0049759811238758e+05 7.9940315287345916e+05 7.9818882390247867e+05 7.9688921821282164e+05 7.9548041821483534e+05 7.9394374708262924e+05 7.9225650953864108e+05 7.9039313878075592e+05 7.8831743096002738e+05 7.8603127004921937e+05 7.8345158196194156e+05 7.8055928043561731e+05 7.7731239665921615e+05 7.7366576590464229e+05 7.6957281175830693e+05 7.6498681667570013e+05 7.5985662269386998e+05 7.5418699489482958e+05 7.4788182825315162e+05 7.4096146774834895e+05 7.3344192436452163e+05 7.2538218046500790e+05 7.1688258959626907e+05 7.0813416238784452e+05 6.9942160215020203e+05 6.9120843492941314e+05 6.8408273989875382e+05 6.7896004579589237e+05 6.7711779239374958e+05 6.8041101097284758e+05 6.9154060630580410e+05 7.1459939118042449e+05 7.5606671114734618e+05 8.2685653544392099e+05 8.8762111697419823e+04 +1.6472351765489684e+01 4.3524525876867129e+06 4.3519936396726249e+06 4.3512112073649894e+06 4.3501288706275625e+06 4.3489190804907633e+06 4.3478902247245852e+06 4.3471966901880801e+06 4.3465926062232461e+06 4.3457984949443946e+06 4.3447160382362586e+06 4.3433273741925983e+06 4.3415871736625265e+06 4.3394306001995923e+06 4.3367858611537414e+06 4.3335738762103580e+06 4.3297009067584472e+06 4.3250542738946825e+06 4.3195013892267486e+06 4.3128874898471441e+06 4.3050318593121227e+06 4.2957245273425151e+06 4.2847187369449260e+06 4.2716843218484828e+06 4.2560547118842928e+06 4.2371713642207561e+06 4.2147139594439166e+06 4.1883891939433445e+06 4.1577056264609606e+06 4.1220608618711564e+06 4.0807904514030665e+06 4.0331824154253383e+06 3.9784901966807554e+06 3.9159518048411296e+06 3.8448172394414549e+06 3.7643858663655343e+06 3.6740537479137252e+06 3.5733721025704159e+06 3.4621144322143937e+06 3.3403494805522743e+06 3.2085124396643946e+06 3.0566260438382188e+06 2.8957883978852918e+06 2.7282986308908034e+06 2.5570130056533068e+06 2.3851942200860074e+06 2.2162843009038060e+06 2.0536260425111088e+06 1.9001749101339611e+06 1.7582535454316470e+06 1.6293834634057411e+06 1.5142380151202644e+06 1.4127332727208766e+06 1.3241906093065504e+06 1.2474606253843913e+06 1.1811782593262349e+06 1.1239583761225187e+06 1.0744803555257507e+06 1.0315821912975671e+06 9.9426675924836635e+05 9.6173649366816087e+05 9.3331343301636761e+05 9.0848068575299939e+05 8.8678149490139820e+05 8.6788713756818185e+05 8.5148274150125147e+05 8.3730772035630350e+05 8.2515888034700335e+05 8.1482714086771104e+05 8.0610981096137199e+05 7.9885651692137273e+05 7.9288429072596540e+05 7.8805333926663618e+05 7.8420602472433192e+05 7.8120271240270883e+05 7.7885675291592896e+05 7.7698810329310177e+05 7.7545769643755828e+05 7.7413613918874378e+05 7.7290044656951469e+05 7.7202972776975855e+05 7.7115172436666244e+05 7.7025635965492029e+05 7.6931874180228694e+05 7.6835154761176405e+05 7.6732744531406276e+05 7.6627834072750073e+05 7.6511433049617358e+05 7.6386857712388306e+05 7.6251815408735606e+05 7.6104515846707416e+05 7.5942783540615661e+05 7.5764167750833801e+05 7.5565198457645660e+05 7.5346054524684651e+05 7.5098775189473305e+05 7.4821529879423755e+05 7.4510295619500836e+05 7.4160743085636594e+05 7.3768407635319349e+05 7.3328811098005343e+05 7.2837049996459333e+05 7.2293579433670198e+05 7.1689189461157261e+05 7.1025829278683139e+05 7.0305033641759004e+05 6.9532456383356778e+05 6.8717717024914711e+05 6.7879125140929525e+05 6.7043971647814079e+05 6.6256686913909821e+05 6.5573644169611228e+05 6.5082601699606946e+05 6.4906010459714744e+05 6.5221686300508445e+05 6.6288528117737139e+05 6.8498857981645083e+05 7.2473762479368004e+05 7.9259412289496500e+05 8.4746308455038161e+04 +1.6528980679546979e+01 4.1886082024200703e+06 4.1881662745572892e+06 4.1874128734820834e+06 4.1863703482655147e+06 4.1852043848796659e+06 4.1842114344293051e+06 4.1835400702060009e+06 4.1829538185669631e+06 4.1821836520717540e+06 4.1811347227553688e+06 4.1797895527003831e+06 4.1781042635376207e+06 4.1760161514495839e+06 4.1734557599915871e+06 4.1703465668490068e+06 4.1665978819854110e+06 4.1621006919774525e+06 4.1567267119160360e+06 4.1503262134245816e+06 4.1427243662440567e+06 4.1337180585009423e+06 4.1230686164474273e+06 4.1104567519608904e+06 4.0953345573110315e+06 4.0770649932438671e+06 4.0553383822369180e+06 4.0298715906243920e+06 4.0001899439331410e+06 3.9657116345590889e+06 3.9257951631934433e+06 3.8797534946570108e+06 3.8268667091454952e+06 3.7664006528426795e+06 3.6976336031956039e+06 3.6198925538699464e+06 3.5325990984871462e+06 3.4353260126552870e+06 3.3278621126240431e+06 3.2102825912721995e+06 3.0830174535652245e+06 2.9364515714915595e+06 2.7813122102301517e+06 2.6198291208748561e+06 2.4547660411964213e+06 2.2892735980616510e+06 2.1266690122353793e+06 1.9701670742060866e+06 1.8226030539969499e+06 1.6861977609187237e+06 1.5623977989558887e+06 1.4518328503116332e+06 1.3544053207161957e+06 1.2694483736814468e+06 1.1958462360646909e+06 1.1322794052215784e+06 1.0774121457634999e+06 1.0299731782785651e+06 9.8884527627273335e+05 9.5307068287703639e+05 9.2188382887473539e+05 8.9463435857753514e+05 8.7082659433007147e+05 8.5002267685835378e+05 8.3190751573744044e+05 8.1617934577750403e+05 8.0258843576029467e+05 7.9094004522368603e+05 7.8103380633938650e+05 7.7267545193433296e+05 7.6572084217818733e+05 7.5999460520443856e+05 7.5536270432910719e+05 7.5167400670937856e+05 7.4879461089522426e+05 7.4654554331755894e+05 7.4475417558323196e+05 7.4328713464588975e+05 7.4202034166884806e+05 7.4083588949522993e+05 7.4000128822373599e+05 7.3915970808856166e+05 7.3830148839629802e+05 7.3740276903447916e+05 7.3647570051081502e+05 7.3549408816452720e+05 7.3448849743984418e+05 7.3337277800900803e+05 7.3217870660769264e+05 7.3088430783865880e+05 7.2947242150245467e+05 7.2792219525951601e+05 7.2621013842458173e+05 7.2430299368044210e+05 7.2220245903511252e+05 7.1983225241199753e+05 7.1717481768544891e+05 7.1419159407615697e+05 7.1084108441149583e+05 7.0708049447254138e+05 7.0286690037575620e+05 6.9815330480319948e+05 6.9294405419441499e+05 6.8715089200925676e+05 6.8079249213786528e+05 6.7388356544520799e+05 6.6647830472250492e+05 6.5866891443864885e+05 6.5063089443138766e+05 6.4262583488119254e+05 6.3507959256154555e+05 6.2853253304120433e+05 6.2382582300298754e+05 6.2213317478985002e+05 6.2515897249508405e+05 6.3538479953292373e+05 6.5657111920134060e+05 6.9467113751401613e+05 7.5971252656844293e+05 8.0909320690888839e+04 +1.6585609593604275e+01 4.0306600455502127e+06 4.0302344927283851e+06 4.0295091389716747e+06 4.0285050302453330e+06 4.0273813673860100e+06 4.0264231195240445e+06 4.0257732829367500e+06 4.0252044231247664e+06 4.0244575712810555e+06 4.0234412507671020e+06 4.0221383584128898e+06 4.0205064245830304e+06 4.0184848152418947e+06 4.0160063400502712e+06 4.0129969591816571e+06 4.0093689406468701e+06 4.0050168278427287e+06 3.9998165121977283e+06 3.9936231501718005e+06 3.9862676228763862e+06 3.9775534725010036e+06 3.9672498663272085e+06 3.9550480661043744e+06 3.9404182631825409e+06 3.9227442821409409e+06 3.9017267648559115e+06 3.8770924215334901e+06 3.8483828172063911e+06 3.8150360835551103e+06 3.7764329392835479e+06 3.7319104857114200e+06 3.6807745599936713e+06 3.6223179010318238e+06 3.5558460735090929e+06 3.4807126877210587e+06 3.3963638745095576e+06 3.3023930420703860e+06 3.1986035337538850e+06 3.0850764259974514e+06 2.9622362895736382e+06 2.8208178154770886e+06 2.6711887171513750e+06 2.5155110899929353e+06 2.3564587466434436e+06 2.1970736835642476e+06 2.0405524407333387e+06 1.8899863350252423e+06 1.7480950004622901e+06 1.6170015893490736e+06 1.4980811961758989e+06 1.3919221975325935e+06 1.2984145983588945e+06 1.2169035988346082e+06 1.1463063442176117e+06 1.0853475840666094e+06 1.0327393910504185e+06 9.8725811739798076e+05 9.4782969433407730e+05 9.1353425733576226e+05 8.8363700890860730e+05 8.5751412064682797e+05 8.3469029138804425e+05 8.1474580482182046e+05 7.9737865699005942e+05 7.8229966142797773e+05 7.6926950380378682e+05 7.5810155616001622e+05 7.4860381098637695e+05 7.4059008500063349e+05 7.3392222150656523e+05 7.2843213840454433e+05 7.2399132562055509e+05 7.2045489476116817e+05 7.1769444943273300e+05 7.1553838564203586e+05 7.1382119320442318e+05 7.1241496720292070e+05 7.1120073141874862e+05 7.1006545284932875e+05 7.0926551167387038e+05 7.0845888485242147e+05 7.0763631101684889e+05 7.0677492018564674e+05 7.0588635783003457e+05 7.0494552034331323e+05 7.0398168773459806e+05 7.0291231006041868e+05 7.0176783472015196e+05 7.0052719905792281e+05 6.9917395561296225e+05 6.9768811814191344e+05 6.9604717163530237e+05 6.9421924325525574e+05 6.9220594486521033e+05 6.8993418456374994e+05 6.8738712606616842e+05 6.8452781020565040e+05 6.8131646338786115e+05 6.7771206884489197e+05 6.7367348553324770e+05 6.6915567119867390e+05 6.6416277673980559e+05 6.5861023235023930e+05 6.5251592730801506e+05 6.4589396148163779e+05 6.3879627679007803e+05 6.3131124802236422e+05 6.2360708567842701e+05 6.1593451764031488e+05 6.0870169901536370e+05 6.0242657069590816e+05 5.9791535339094768e+05 5.9629301225513243e+05 5.9919313478023256e+05 6.0899423364069022e+05 6.2930058352521167e+05 6.6581812948759645e+05 7.2815802752488910e+05 7.7243336981176792e+04 +1.6642238507661570e+01 3.8784085991970669e+06 3.8779988157051723e+06 3.8773004808051684e+06 3.8763334610807807e+06 3.8752506387119316e+06 3.8743259578999421e+06 3.8736970250983024e+06 3.8731451200223854e+06 3.8724209704806507e+06 3.8714363566750735e+06 3.8701745535801728e+06 3.8685944554764805e+06 3.8666374363762760e+06 3.8642385047647809e+06 3.8613260293330490e+06 3.8578151479241545e+06 3.8536038547398406e+06 3.8485720937174177e+06 3.8425797602298222e+06 3.8354632764261207e+06 3.8270326393939895e+06 3.8170646215299461e+06 3.8052607147102645e+06 3.7911086607558620e+06 3.7740125245890380e+06 3.7536829533298155e+06 3.7298561842714115e+06 3.7020895092104753e+06 3.6698403687625080e+06 3.6325109887263360e+06 3.5894618221020522e+06 3.5400236083572903e+06 3.4835150639178804e+06 3.4192680811769590e+06 3.3466619092523763e+06 3.2651662569863573e+06 3.1743942758810045e+06 3.0741630832264968e+06 2.9645591040328359e+06 2.8460012521312577e+06 2.7095620987110739e+06 2.5652607998955008e+06 2.4151934932020628e+06 2.2619466123020183e+06 2.1084568782284390e+06 1.9578041587543574e+06 1.8129606857170467e+06 1.6765348600444561e+06 1.5505561956134175e+06 1.4363315374978587e+06 1.3344102070818373e+06 1.2446709966620158e+06 1.1664713489892241e+06 1.0987606181260673e+06 1.0403065249095032e+06 9.8986740079366346e+05 9.4626557266156748e+05 9.0846856079488853e+05 8.7559296919051220e+05 8.4693359112803568e+05 8.2189208668573340e+05 8.0001272513114661e+05 7.8089320711817779e+05 7.6424409001879778e+05 7.4978825816206122e+05 7.3729639283973200e+05 7.2658965096983325e+05 7.1748404661142873e+05 7.0980115368375578e+05 7.0340855757878616e+05 6.9814517148108338e+05 6.9388779092543735e+05 6.9049752147885528e+05 6.8785125233531278e+05 6.8578445458829624e+05 6.8413845128815982e+05 6.8279058833128575e+05 6.8162678851603402e+05 6.8053869720335293e+05 6.7977201548309717e+05 6.7899892930882727e+05 6.7821056060068693e+05 6.7738498952960165e+05 6.7653337696712895e+05 6.7563166610674304e+05 6.7470790427502303e+05 6.7368299528276175e+05 6.7258611139589082e+05 6.7139706580902915e+05 6.7010009499531344e+05 6.6867604379984725e+05 6.6710333345553011e+05 6.6535141948594002e+05 6.6342183187797712e+05 6.6124453886819328e+05 6.5880339538728655e+05 6.5606297914797324e+05 6.5298517047003983e+05 6.4953065819436370e+05 6.4566001205955667e+05 6.4133006570210576e+05 6.3654478313781763e+05 6.3122313122573157e+05 6.2538224679776956e+05 6.1903564342083549e+05 6.1223310311685386e+05 6.0505932578256645e+05 5.9767552720027103e+05 5.9032201184752386e+05 5.8338994932527316e+05 5.7737576124296302e+05 5.7305213520167035e+05 5.7149725929926371e+05 5.7427678615957452e+05 5.8367032357422926e+05 6.0313227039421850e+05 6.3813130431833700e+05 6.9787890097522549e+05 7.3740879198711467e+04 +1.6698867421718866e+01 3.7316604431375950e+06 3.7312659300198397e+06 3.7305936467302865e+06 3.7296623974888986e+06 3.7286189983302844e+06 3.7277267840418452e+06 3.7271181500723455e+06 3.7265827613335890e+06 3.7258807174974270e+06 3.7249269264859362e+06 3.7237050513616172e+06 3.7221753053783067e+06 3.7202810096439961e+06 3.7179593066337924e+06 3.7151409013340422e+06 3.7117437154393010e+06 3.7076690905763255e+06 3.7028009025724204e+06 3.6970036435341700e+06 3.6901191106762439e+06 3.6819635619391445e+06 3.6723211450811164e+06 3.6609032707446339e+06 3.6472146970621045e+06 3.6306791217707014e+06 3.6110168913345160e+06 3.5879734623376713e+06 3.5611213548722388e+06 3.5299367056549164e+06 3.4938425567338634e+06 3.4522219505772926e+06 3.4044296995943501e+06 3.3498096103899940e+06 3.2877189739194419e+06 3.2175617327186200e+06 3.1388302482272508e+06 3.0511565601235982e+06 2.9543708392903688e+06 2.8485643536802568e+06 2.7341501604530378e+06 2.6025271422117981e+06 2.4633766040060678e+06 2.3187303981397892e+06 2.1710900718291523e+06 2.0232903410966832e+06 1.8782982958096531e+06 1.7389713330927566e+06 1.6078108718934453e+06 1.4867566546167166e+06 1.3770504007945883e+06 1.2792045189626785e+06 1.1930877033465912e+06 1.1180698075589831e+06 1.0531316845762392e+06 9.9708277164006443e+05 9.4872615138436772e+05 9.0692851935207506e+05 8.7069746811757749e+05 8.3918469596162718e+05 8.1171344839974481e+05 7.8770987363746413e+05 7.6673703554863029e+05 7.4840935347093828e+05 7.3244944108839112e+05 7.1859176526042935e+05 7.0661659799921978e+05 6.9635256616423861e+05 6.8762337985521089e+05 6.8025805621196330e+05 6.7412969100980973e+05 6.6908390970269858e+05 6.6500260092526360e+05 6.6175262338889088e+05 6.5921594081304048e+05 6.5723481620860158e+05 6.5565713187170553e+05 6.5436527548913565e+05 6.5324987309025170e+05 6.5220706018887751e+05 6.5147229196154559e+05 6.5073138892542035e+05 6.4997584086837631e+05 6.4918463970408239e+05 6.4836848133273702e+05 6.4750431323244318e+05 6.4661900070536055e+05 6.4563676045726868e+05 6.4458554169292550e+05 6.4344599800383137e+05 6.4220302211513394e+05 6.4083825632139365e+05 6.3933102020163834e+05 6.3765204372682911e+05 6.3580277906604798e+05 6.3371612968892825e+05 6.3137661421263567e+05 6.2875028502152965e+05 6.2580060940573260e+05 6.2248991278137232e+05 6.1878040642119700e+05 6.1463072377913666e+05 6.1004465027072176e+05 6.0494454526737949e+05 5.9934682403943723e+05 5.9326443758355721e+05 5.8674509544621955e+05 5.7986997137655888e+05 5.7279356955654465e+05 5.6574619281985098e+05 5.5910271342462907e+05 5.5333890378450288e+05 5.4919527606951504e+05 5.4770513453256374e+05 5.5036894690370234e+05 5.5937141928669869e+05 5.7802314097509091e+05 6.1156512570323248e+05 6.6882534702603891e+05 7.0394788710622204e+04 +1.6755496335776161e+01 3.5902283234225814e+06 3.5898485083566895e+06 3.5892013186864308e+06 3.5883046108750640e+06 3.5872992580298060e+06 3.5864384333547074e+06 3.5858494928959203e+06 3.5853301915317732e+06 3.5846496677587670e+06 3.5837258358908147e+06 3.5825427539996784e+06 3.5810619119977336e+06 3.5792285179873803e+06 3.5769817853474263e+06 3.5742546852544029e+06 3.5709678393856273e+06 3.5670258360333745e+06 3.5623163654078492e+06 3.5567083778786808e+06 3.5500488840467725e+06 3.5421602136388994e+06 3.5328336661110935e+06 3.5217902677092128e+06 3.5085512728884178e+06 3.4925594203681280e+06 3.4735444581049518e+06 3.4512607630287139e+06 3.4252955989873246e+06 3.3951432031195611e+06 3.3602467624932709e+06 3.3200111689425926e+06 3.2738145030883034e+06 3.2210248015759089e+06 3.1610238542929222e+06 3.0932393833371541e+06 3.0171855101362364e+06 2.9325123403961132e+06 2.8390624098853418e+06 2.7369313519413061e+06 2.6265261890986506e+06 2.4995609069662108e+06 2.3653893829067312e+06 2.2259808309090105e+06 2.0837543507904946e+06 1.9414458405778233e+06 1.8019133945420054e+06 1.6679036906132717e+06 1.5418152694988227e+06 1.4255018224804625e+06 1.3201429363010998e+06 1.2262161455606248e+06 1.1435810911494945e+06 1.0716201708363052e+06 1.0093450275506551e+06 9.5560558625954378e+05 9.0924821419143956e+05 8.6918241933850851e+05 8.3445440025593678e+05 8.0424962334378401e+05 7.7791868885846785e+05 7.5491126990371000e+05 7.3480847833656031e+05 7.1724078062206949e+05 7.0194236114093510e+05 6.8865879996727081e+05 6.7717957068240666e+05 6.6734046739747713e+05 6.5897258344345645e+05 6.5191207744340366e+05 6.4603733284971467e+05 6.4120041541360982e+05 6.3728810254270164e+05 6.3417277459500544e+05 6.3174126685525873e+05 6.2984236198900349e+05 6.2833023813053069e+05 6.2709212372960884e+05 6.2602315978992928e+05 6.2502379106804705e+05 6.2431964300927625e+05 6.2360961870057008e+05 6.2288556097850576e+05 6.2212733658252133e+05 6.2134519530719926e+05 6.2051704806973296e+05 6.1966862677997618e+05 6.1872732575260173e+05 6.1771992113521264e+05 6.1662787285296223e+05 6.1543670328388934e+05 6.1412881984791660e+05 6.1268440405978856e+05 6.1107540853432578e+05 6.0930321149029187e+05 6.0730353166265949e+05 6.0506152487903507e+05 6.0254465842321597e+05 5.9971792223028396e+05 5.9654521195556503e+05 5.9299031386952370e+05 5.8901358815377555e+05 5.8461864954591263e+05 5.7973111146305257e+05 5.7436669727190048e+05 5.6853781820017146e+05 5.6229019532395958e+05 5.5570161916785582e+05 5.4892015435529372e+05 5.4216650734774419e+05 5.3579991426887491e+05 5.3027633443470404e+05 5.2630540913248167e+05 5.2487737792570889e+05 5.2743016604269354e+05 5.3605742449882755e+05 5.5393176201070950e+05 5.8607575608334760e+05 6.4094942358247924e+05 6.7198213125459792e+04 +1.6812125249833457e+01 3.4539306243756535e+06 3.4535650046368414e+06 3.4529420626526824e+06 3.4520786376572433e+06 3.4511100180301387e+06 3.4502795455718962e+06 3.4497097193825557e+06 3.4492060873269835e+06 3.4485465066234381e+06 3.4476517912200615e+06 3.4465063939846545e+06 3.4450730426818472e+06 3.4432987735032015e+06 3.4411248088231827e+06 3.4384863182168663e+06 3.4353065415178933e+06 3.4314932155424785e+06 3.4269377303910856e+06 3.4215133598933769e+06 3.4150721705365223e+06 3.4074423796911440e+06 3.3984222207648102e+06 3.3877420405339035e+06 3.3749390836682348e+06 3.3594745534223486e+06 3.3410873093066020e+06 3.3195403582842136e+06 3.2944352370660659e+06 3.2652837042843881e+06 3.2315484400113230e+06 3.1926554669123292e+06 3.1480053531660289e+06 3.0969895318046920e+06 3.0390134208076959e+06 2.9735276385739101e+06 2.9000672057252000e+06 2.8182995037602712e+06 2.7280787750621350e+06 2.6295045676573305e+06 2.5229777120707328e+06 2.4005164393832879e+06 2.2711573451090711e+06 2.1368086255651992e+06 1.9998093189686462e+06 1.8627996101750969e+06 1.7285322704698411e+06 1.5996472427255614e+06 1.4784441501003981e+06 1.3666942113804051e+06 1.2655177470760713e+06 1.1753593577653416e+06 1.0960706094675341e+06 1.0270465448788455e+06 9.6732888999904029e+05 9.1580685510730406e+05 8.7136866580619640e+05 8.3296513490184781e+05 7.9967964965770347e+05 7.7073016500361951e+05 7.4549357815778011e+05 7.2344215975714498e+05 7.0417435119242803e+05 6.8733602028006781e+05 6.7267245517635031e+05 6.5993989811094478e+05 6.4893665026229026e+05 6.3950538208791357e+05 6.3148426959205745e+05 6.2471632293320983e+05 6.1908499920047307e+05 6.1444854310242948e+05 6.1069842438023025e+05 6.0771232251226518e+05 6.0538174919466441e+05 6.0356174499674421e+05 6.0211253067676583e+05 6.0092598212453234e+05 5.9990157431192475e+05 5.9894388736379647e+05 5.9826911682086752e+05 5.9758871794359048e+05 5.9689487237148976e+05 5.9616828620192548e+05 5.9541878124639462e+05 5.9462519262332842e+05 5.9381216554184724e+05 5.9291014198919374e+05 5.9194477308089763e+05 5.9089829234751000e+05 5.8975682626101596e+05 5.8850351631203329e+05 5.8711937096369395e+05 5.8557751571361278e+05 5.8387925850601075e+05 5.8196301812680322e+05 5.7981456215295731e+05 5.7740271533871174e+05 5.7469392845976097e+05 5.7165360367337032e+05 5.6824703832057316e+05 5.6443624908928992e+05 5.6022468761735444e+05 5.5554108837836981e+05 5.5040051130758063e+05 5.4481484977178264e+05 5.3882791708890197e+05 5.3251425788365526e+05 5.2601575860061496e+05 5.1954391872475779e+05 5.1344297351127851e+05 5.0814987255598529e+05 5.0434463966704404e+05 5.0297619759513839e+05 5.0542246789252525e+05 5.1368974234789045e+05 5.3081824965780333e+05 5.6162099722410587e+05 6.1420498136764287e+05 6.4144593569002362e+04 +1.6868754163890753e+01 3.3225916093438137e+06 3.3222396160227684e+06 3.3216400421428848e+06 3.3208087311318829e+06 3.3198755556302862e+06 3.3190744325346770e+06 3.3185231747335573e+06 3.3180347992352219e+06 3.3173955947182211e+06 3.3165291735579832e+06 3.3154203781541935e+06 3.3140331384800929e+06 3.3123162613684107e+06 3.3102129171405854e+06 3.3076604083005385e+06 3.3045845130649749e+06 3.3008960211932533e+06 3.2964899111155900e+06 3.2912436489252909e+06 3.2850142036009682e+06 3.2776355008443077e+06 3.2689124960874589e+06 3.2585845694607608e+06 3.2462044633401590e+06 3.2312512841803106e+06 3.2134727208824949e+06 3.1926401285428852e+06 3.1683688591765575e+06 3.1401876304011201e+06 3.1075779820073503e+06 3.0699863700596988e+06 3.0268350931066168e+06 2.9775381727463282e+06 2.9215238121886714e+06 2.8582646726335464e+06 2.7873158439401351e+06 2.7083612239719587e+06 2.6212661327881915e+06 2.5261336080747391e+06 2.4233581504036132e+06 2.3052517202818072e+06 2.1805435050591761e+06 2.0510822772706207e+06 1.9191293463813239e+06 1.7872322079297432e+06 1.6580418754631602e+06 1.5340954129038604e+06 1.4175973477499913e+06 1.3102398679618556e+06 1.2130867729585906e+06 1.1265515744662108e+06 1.0504786792542189e+06 9.8427584553051775e+05 9.2701417861261708e+05 8.7762099798199581e+05 8.3502500106962433e+05 7.9821684524691640e+05 7.6631573684573942e+05 7.3857088488099817e+05 7.1438446415953408e+05 6.9325045011812553e+05 6.7478392243253894e+05 6.5864552933215885e+05 6.4459121385931817e+05 6.3238744692226674e+05 6.2184099794027116e+05 6.1280113416523510e+05 6.0511282551364729e+05 5.9862565507993859e+05 5.9322794789750106e+05 5.8878387652674806e+05 5.8518941419820639e+05 5.8232732563118101e+05 5.8009361130333052e+05 5.7834931805637898e+05 5.7696046587615181e+05 5.7582339219538658e+05 5.7484173194012500e+05 5.7392403349649964e+05 5.7327744658892544e+05 5.7262546904513135e+05 5.7196060761639394e+05 5.7126437368019414e+05 5.7054617847603420e+05 5.6978574363079527e+05 5.6900667247967946e+05 5.6814232989410358e+05 5.6721728807579936e+05 5.6621452271713805e+05 5.6512073983115796e+05 5.6391978514046245e+05 5.6259346044469147e+05 5.6111601632231893e+05 5.5948869393966289e+05 5.5765250149200496e+05 5.5559379382514430e+05 5.5328269798508135e+05 5.5068706621153979e+05 5.4777374593054748e+05 5.4450948413294251e+05 5.4085788655913365e+05 5.3682224899195321e+05 5.3233429923882487e+05 5.2740846113885392e+05 5.2205613124856184e+05 5.1631929266768286e+05 5.1026937605630996e+05 5.0404234079932346e+05 4.9784085351901950e+05 4.9199475889828964e+05 4.8692276869480120e+05 4.8327649341829901e+05 4.8196521826936310e+05 4.8430930027113983e+05 4.9223122275821288e+05 5.0864421510172501e+05 5.3816023267150135e+05 5.8854760098823905e+05 6.1227652468797263e+04 +1.6925383077948048e+01 3.1960409305194453e+06 3.1957020923257247e+06 3.1951250616807826e+06 3.1943247141782683e+06 3.1934257359796315e+06 3.1926529671270228e+06 3.1921197193902596e+06 3.1916461984248594e+06 3.1910268153123953e+06 3.1901878857512358e+06 3.1891146346497163e+06 3.1877721611398319e+06 3.1861109866622598e+06 3.1840761693639886e+06 3.1816070813817093e+06 3.1786319615640277e+06 3.1750645595504781e+06 3.1708033334173383e+06 3.1657298138549584e+06 3.1597057229797039e+06 3.1525705202206140e+06 3.1441356768193669e+06 3.1341493268307447e+06 3.1221792311559799e+06 3.1077218529352210e+06 3.0905334358811243e+06 3.0703934095798736e+06 3.0469304968290618e+06 3.0196898277367568e+06 2.9881711868726867e+06 2.9518407868350339e+06 2.9101419222649760e+06 2.8625104206550205e+06 2.8083964548281846e+06 2.7472939041809961e+06 2.6787771277091424e+06 2.6025458100340385e+06 2.5184757481202707e+06 2.4266730688554123e+06 2.3275258232127903e+06 2.2136295174371395e+06 2.0934155375500664e+06 1.9686747990612120e+06 1.8415931629331158e+06 1.7146283795441426e+06 1.5903331648718971e+06 1.4711454353142763e+06 1.3591783099548335e+06 1.2560482552693768e+06 1.1627651779238209e+06 1.0797132553424016e+06 1.0067305910883737e+06 9.4323770149397664e+05 8.8833437153583579e+05 8.4098488007587567e+05 8.0015704880211898e+05 7.6487996560925385e+05 7.3430733252901817e+05 7.0771842193223361e+05 6.8453970398702926e+05 6.6428599964585830e+05 6.4658836185314145e+05 6.3112162226489000e+05 6.1765194729031471e+05 6.0595561997608107e+05 5.9584753269883513e+05 5.8718328089097899e+05 5.7981435097096208e+05 5.7359663130047009e+05 5.6842311719902325e+05 5.6416366782983462e+05 5.6071857838417194e+05 5.5797549326743593e+05 5.5583472135337477e+05 5.5416307388182043e+05 5.5283213612222811e+05 5.5174252830837923e+05 5.5080187803661346e+05 5.4992254137066635e+05 5.4930299115879030e+05 5.4867827819959843e+05 5.4804122120169399e+05 5.4737410407966608e+05 5.4668594422826089e+05 5.4595731358115189e+05 5.4521081662643293e+05 5.4438262128622585e+05 5.4349626513478695e+05 5.4253543581833853e+05 5.4148739530119253e+05 5.4033666487621272e+05 5.3906580738938018e+05 5.3765015258138592e+05 5.3609087817293126e+05 5.3433147551811673e+05 5.3235886319377576e+05 5.3014441753331537e+05 5.2765733519715234e+05 5.2486585005472740e+05 5.2173809974267893e+05 5.1823921425592579e+05 5.1437234045437357e+05 5.1007207682129735e+05 5.0535223734368943e+05 5.0022374198600807e+05 4.9472681812573393e+05 4.8892990920053713e+05 4.8296328878141445e+05 4.7702115003445564e+05 4.7141953333830112e+05 4.6655965417699591e+05 4.6306586656983575e+05 4.6180943139669730e+05 4.6405548436195566e+05 4.7164611148349434e+05 4.8737271190148446e+05 5.1565437204448471e+05 5.6393453201304621e+05 5.8441381828163998e+04 +1.6982011992005344e+01 3.0741136358892596e+06 3.0737875236101132e+06 3.0732321558246962e+06 3.0724616886457945e+06 3.0715957444801712e+06 3.0708503756430480e+06 3.0703345883680414e+06 3.0698755280613648e+06 3.0692754237145637e+06 3.0684632020409093e+06 3.0674244627432707e+06 3.0661254429790615e+06 3.0645183241342995e+06 3.0625499933418916e+06 3.0601618309279629e+06 3.0572844606293570e+06 3.0538345014232490e+06 3.0497137851455235e+06 3.0448077828697185e+06 3.0389828244392029e+06 3.0320837330795210e+06 3.0239282951740199e+06 3.0142731268798811e+06 3.0027005414774036e+06 2.9887238268050044e+06 2.9721075142879132e+06 2.9526388423771677e+06 2.9299594728542147e+06 2.9036304175238921e+06 2.8731691086792843e+06 2.8380608586868127e+06 2.7977692463129507e+06 2.7517511467937664e+06 2.6994779134337353e+06 2.6404638472648449e+06 2.5743018052813318e+06 2.5007065580186662e+06 2.4195638057194510e+06 2.3309823874433842e+06 2.2353438021958265e+06 2.1255172415971989e+06 2.0096456356650686e+06 1.8894635822057796e+06 1.7670837216898634e+06 1.6448769251013275e+06 1.5253009682623595e+06 1.4106982300545310e+06 1.3030939778233396e+06 1.2040321380915637e+06 1.1144712407709758e+06 1.0347677968767027e+06 9.6475440635058342e+05 9.0386436038346030e+05 8.5122542894052528e+05 8.0583772665714216e+05 7.6670689018495649e+05 7.3289906892349722e+05 7.0360118216710864e+05 6.7812141725034197e+05 6.5590959339937265e+05 6.3650055007783743e+05 6.1954067379372066e+05 6.0471840572913189e+05 5.9180972087896580e+05 5.8060031419959571e+05 5.7091286929648137e+05 5.6260905169078906e+05 5.5554659782730998e+05 5.4958744418166217e+05 5.4462906644118833e+05 5.4054677860766498e+05 5.3724502335302671e+05 5.3461612722968473e+05 5.3256453410514910e+05 5.3096258713095391e+05 5.2968721202411305e+05 5.2864313997072971e+05 5.2774183043905359e+05 5.2689929286176746e+05 5.2630567757898651e+05 5.2570711802281498e+05 5.2509673221631278e+05 5.2445754516044131e+05 5.2379819646961120e+05 5.2310007361384394e+05 5.2238482353738137e+05 5.2159130214339047e+05 5.2074205489988514e+05 5.1982145239053643e+05 5.1881728987114661e+05 5.1771473667105247e+05 5.1649708566236979e+05 5.1514070164937974e+05 5.1364670207263203e+05 5.1196095942570962e+05 5.1007093338939617e+05 5.0794919866474014e+05 5.0556624153883226e+05 5.0289162581450882e+05 4.9989482309520990e+05 4.9654242539362831e+05 4.9283743727386656e+05 4.8871721011100773e+05 4.8419497323083639e+05 4.7928118943096977e+05 4.7401440192430024e+05 4.6846018867812399e+05 4.6274336918986507e+05 4.5705000842327956e+05 4.5168290559780807e+05 4.4702649231166800e+05 4.4367897731421475e+05 4.4247514684483688e+05 4.4462716618202167e+05 4.5190000078284828e+05 4.6696818501758104e+05 4.9406579710379173e+05 5.4032463399063924e+05 5.5780031971055745e+04 +1.7038640906062639e+01 2.9566500005321624e+06 2.9563361352302399e+06 2.9558017342301258e+06 2.9550600320704444e+06 2.9542259676820524e+06 2.9535070842218813e+06 2.9530082381384689e+06 2.9525632578224060e+06 2.9519818992805616e+06 2.9511956203570687e+06 2.9501903855482433e+06 2.9489335396266123e+06 2.9473788709366969e+06 2.9454750384234767e+06 2.9431653706940641e+06 2.9403828026865646e+06 2.9370467345823748e+06 2.9330622688820199e+06 2.9283186961747459e+06 2.9226868125231462e+06 2.9160166395500605e+06 2.9081320835800860e+06 2.8987979784785197e+06 2.8876107365455660e+06 2.8740999525616453e+06 2.8580381858554916e+06 2.8392202259709379e+06 2.8173002543391115e+06 2.7918546489602877e+06 2.7624179102696497e+06 2.7284938132490371e+06 2.6895655305812163e+06 2.6451102509698630e+06 2.5946197448096438e+06 2.5376279654584769e+06 2.4737455247932924e+06 2.4027016062196898e+06 2.3243912656928999e+06 2.2389256998312823e+06 2.1466797695490336e+06 2.0407868059729268e+06 1.9291103722528613e+06 1.8133302600846142e+06 1.6954880656952360e+06 1.5778705693611184e+06 1.4628438636879129e+06 1.3526582818852107e+06 1.2492546696604295e+06 1.1541074716700828e+06 1.0681262490768987e+06 9.9164143151954934e+05 9.2448086142911331e+05 8.6609059768964839e+05 8.1562570638098393e+05 7.7212104043338657e+05 7.3461877970526519e+05 7.0222080995913141e+05 6.7414603292733664e+05 6.4973044350941374e+05 6.2844629840741248e+05 6.0984765975456988e+05 5.9359563233798707e+05 5.7939171520247753e+05 5.6702129328033561e+05 5.5627908891262719e+05 5.4699525824927283e+05 5.3903728895330650e+05 5.3226891153158573e+05 5.2655786354951060e+05 5.2180591859524354e+05 5.1789362286860327e+05 5.1472939883483091e+05 5.1221006536951225e+05 5.1024403465679468e+05 5.0870895831933327e+05 5.0748688645195565e+05 5.0648649598604324e+05 5.0562292370756477e+05 5.0481568415367632e+05 5.0424694550260802e+05 5.0367347201409738e+05 5.0308866888030228e+05 5.0247627197434736e+05 5.0184455856260651e+05 5.0117569825832930e+05 5.0049042010446364e+05 4.9973015749833523e+05 4.9891650462818897e+05 4.9803448714177904e+05 4.9707241182345338e+05 4.9601606958831882e+05 4.9484945354323409e+05 4.9354992119972955e+05 4.9211853272978927e+05 4.9050344381643628e+05 4.8869263348920736e+05 4.8665982590978057e+05 4.8437674435671535e+05 4.8181422829067201e+05 4.7894302883730351e+05 4.7573114025013614e+05 4.7218143113715010e+05 4.6823389266930742e+05 4.6390119368995487e+05 4.5919335848801973e+05 4.5414731484583643e+05 4.4882589220948296e+05 4.4334867859589821e+05 4.3789394240261480e+05 4.3275178258379933e+05 4.2829053116664954e+05 4.2508331898126268e+05 4.2392994615983561e+05 4.2599176960938144e+05 4.3295978167837980e+05 4.4739642148094962e+05 4.7335830955814238e+05 5.1767831936979416e+05 5.3238100739829766e+04 +1.7095269820119935e+01 2.8434954563067360e+06 2.8431933909605937e+06 2.8426791759469160e+06 2.8419652556461752e+06 2.8411618994028619e+06 2.8404686181504847e+06 2.8399862071046662e+06 2.8395549355486697e+06 2.8389918007367002e+06 2.8382307177877929e+06 2.8372580056281085e+06 2.8360420856175446e+06 2.8345383022895190e+06 2.8326970311329863e+06 2.8304634904139568e+06 2.8277728546302682e+06 2.8245472194406530e+06 2.8206948576163216e+06 2.8161087616858780e+06 2.8106640562229687e+06 2.8042158003301667e+06 2.7965938303952487e+06 2.7875709408797184e+06 2.7767572022387101e+06 2.7636980123960534e+06 2.7481737059312430e+06 2.7299863733582865e+06 2.7088023085767771e+06 2.6842127552326787e+06 2.6557687194002848e+06 2.6229918206239315e+06 2.5853841565314103e+06 2.5424425182143315e+06 2.4936783548337882e+06 2.4386445291816988e+06 2.3769686920566349e+06 2.3083937935137427e+06 2.2328237227406302e+06 2.1503717006638907e+06 2.0614058792713888e+06 1.9593144891462184e+06 1.8516905648293910e+06 1.7401605755670562e+06 1.6266971982945197e+06 1.5135058355325509e+06 1.4028640554339613e+06 1.2969335224073958e+06 1.1975739679203662e+06 1.1061932936988510e+06 1.0236543963312927e+06 9.5026312992194283e+05 8.8584327487747662e+05 8.2985362858023611e+05 7.8147587088617252e+05 7.3977852152307646e+05 7.0383906861555134e+05 6.7279385187627224e+05 6.4589256297483598e+05 6.2249793665737379e+05 6.0210378908130096e+05 5.8428263928582612e+05 5.6870971859323978e+05 5.5509905368501437e+05 5.4324505631853163e+05 5.3295110681581288e+05 5.2405452775059768e+05 5.1642839073234028e+05 5.0994217449594074e+05 5.0446918041373655e+05 4.9991530467829230e+05 4.9616611183672026e+05 4.9313384299181181e+05 4.9071962695202627e+05 4.8883568401641230e+05 4.8736475954810221e+05 4.8619382039123768e+05 4.8523533041204116e+05 4.8440795517557207e+05 4.8363457187461847e+05 4.8308969338187744e+05 4.8254028081411857e+05 4.8198001486289129e+05 4.8139331325170881e+05 4.8078810572010762e+05 4.8014731195825740e+05 4.7949078115421656e+05 4.7876241811879561e+05 4.7798290495699964e+05 4.7713789560990111e+05 4.7621618748508935e+05 4.7520416768238635e+05 4.7408650092518039e+05 4.7284149675804854e+05 4.7147016095059086e+05 4.6992283833268064e+05 4.6818800637354760e+05 4.6624049171974580e+05 4.6405320408939198e+05 4.6159820646708203e+05 4.5884747721137799e+05 4.5577035540791613e+05 4.5236957976908959e+05 4.4858767267364974e+05 4.4443676569155353e+05 4.3992646252245991e+05 4.3509214153677569e+05 4.2999399598230363e+05 4.2474659619255003e+05 4.1952073252897774e+05 4.1459432316985499e+05 4.1032025786936894e+05 4.0724761468176101e+05 4.0614263732996926e+05 4.0811795093014883e+05 4.1479359775874089e+05 4.2862450265513180e+05 4.5349708055632620e+05 4.9595749826128787e+05 5.0810323128608463e+04 +1.7151898734177230e+01 2.7345003536466132e+06 2.7342096406940711e+06 2.7337148765221694e+06 2.7330276949550807e+06 2.7322540140180904e+06 2.7315854613808785e+06 2.7311189747408885e+06 2.7307010450877398e+06 2.7301556251576901e+06 2.7294190095090331e+06 2.7284778635427468e+06 2.7273016529095671e+06 2.7258472301411810e+06 2.7240666337983985e+06 2.7219069144141860e+06 2.7193054164516511e+06 2.7161868476603264e+06 2.7124625533728986e+06 2.7080291136487676e+06 2.7027658476325036e+06 2.6965326953488723e+06 2.6891652385814027e+06 2.6804439824159998e+06 2.6699922268152889e+06 2.6573706827177252e+06 2.6423672142971754e+06 2.6247909703824534e+06 2.6043199620312229e+06 2.5805598125950876e+06 2.5530774879256561e+06 2.5214118527321001e+06 2.4850832812711168e+06 2.4436074785699099e+06 2.3965148585571200e+06 2.3433764762066305e+06 2.2838363315621405e+06 2.2176505210085576e+06 2.1447312685777531e+06 2.0651935066513896e+06 1.9793986218071601e+06 1.8809808013634197e+06 1.7772711439153694e+06 1.6698442518126382e+06 1.5606059568922296e+06 1.4516829224964762e+06 1.3452672551807456e+06 1.2434352155846527e+06 1.1479686094660724e+06 1.0602116195273369e+06 9.8098268218670471e+05 9.1056450617714389e+05 8.4877745746207447e+05 7.9509302246689587e+05 7.4871881968735496e+05 7.0875598996816075e+05 6.7431613083373278e+05 6.4456879512983223e+05 6.1879331302938855e+05 5.9637812980856549e+05 5.7683777549315919e+05 5.5976248928215262e+05 5.4484105999690527e+05 5.3179953237548226e+05 5.2044097685834346e+05 5.1057707690079970e+05 5.0205202746577194e+05 4.9474425531332212e+05 4.8852875130794675e+05 4.8328415272759256e+05 4.7892030997423525e+05 4.7532760054471152e+05 4.7242192931981519e+05 4.7010855980154284e+05 4.6830336644099542e+05 4.6689398199534148e+05 4.6577209055643668e+05 4.6485379027699359e+05 4.6406113275297103e+05 4.6332022098272177e+05 4.6279822641463176e+05 4.6227189020968910e+05 4.6173515734682011e+05 4.6117309952827677e+05 4.6059331319885858e+05 4.5997943733336334e+05 4.5935047777897288e+05 4.5865270891774632e+05 4.5790593839884666e+05 4.5709642274658749e+05 4.5621342991417809e+05 4.5524391878960870e+05 4.5417319822973048e+05 4.5298049075230485e+05 4.5166675045157888e+05 4.5018442102266912e+05 4.4852245827589871e+05 4.4665674622900749e+05 4.4456133248806658e+05 4.4220945349249942e+05 4.3957426461350551e+05 4.3662639464024641e+05 4.3336845818456780e+05 4.2974540458075714e+05 4.2576885039794352e+05 4.2144799595780077e+05 4.1681673362293816e+05 4.1193272831904108e+05 4.0690573802666710e+05 4.0189938099463034e+05 3.9717989352201845e+05 3.9308535439150775e+05 3.9014177342427796e+05 3.8908321102303610e+05 3.9097555486193177e+05 3.9737080048380751e+05 4.1062075804933225e+05 4.3444860182097490e+05 4.7512552499657747e+05 4.8491661335527402e+04 +1.7208527648234526e+01 2.6295197414540085e+06 2.6292399851639587e+06 2.6287639408869003e+06 2.6281025939516588e+06 2.6273575332434652e+06 2.6267128701735782e+06 2.6262618246276155e+06 2.6258568733574445e+06 2.6253286704047914e+06 2.6246158109334069e+06 2.6237052993129985e+06 2.6225676123848055e+06 2.6211610647064522e+06 2.6194393061098936e+06 2.6173511631746013e+06 2.6148360828039283e+06 2.6118213037404306e+06 2.6082211487904633e+06 2.6039356742487745e+06 2.5988482635533744e+06 2.5928235853877156e+06 2.5857027873578374e+06 2.5772738421752132e+06 2.5671728626252422e+06 2.5549753959050374e+06 2.5404765969815990e+06 2.5234924376316392e+06 2.5037122623300864e+06 2.4807556024648966e+06 2.4542048540420495e+06 2.4236155457253023e+06 2.3885257002072288e+06 2.3484692699926998e+06 2.3029949434323311e+06 2.2516912753055692e+06 2.1942179506620616e+06 2.1303436168813976e+06 2.0599883576042345e+06 1.9832685232612526e+06 1.9005386920073361e+06 1.8056703541835479e+06 1.7057410247295166e+06 1.6022748664698303e+06 1.4971128901099833e+06 1.3923055854001713e+06 1.2899625665095325e+06 1.1920778465858100e+06 1.1003583790552455e+06 1.0160873405171067e+06 9.4004081574542145e+05 8.7247972598415660e+05 8.1322162501895463e+05 7.6175062026172702e+05 7.1729960153511737e+05 6.7900131072416634e+05 6.4600029121661582e+05 6.1749810866282531e+05 5.9280262013410835e+05 5.7132698927487899e+05 5.5260564572923805e+05 5.3624584010950406e+05 5.2194937159178202e+05 5.0945381327884889e+05 4.9857054056727694e+05 4.8911919921024807e+05 4.8095057416345924e+05 4.7394822757965582e+05 4.6799243572924944e+05 4.6296695291715109e+05 4.5878542200460075e+05 4.5534283617251646e+05 4.5255861528227915e+05 4.5034198917466874e+05 4.4861233849478344e+05 4.4726198512152536e+05 4.4618713871508697e+05 4.4530738500180619e+05 4.4454802443456242e+05 4.4383825435531460e+05 4.4333820618896594e+05 4.4283400083487947e+05 4.4231983679131529e+05 4.4178141296747746e+05 4.4122600618313428e+05 4.4063794513129792e+05 4.4003542735822161e+05 4.3936699905002100e+05 4.3865162951962388e+05 4.3787615318322496e+05 4.3703028926020034e+05 4.3610154499675031e+05 4.3507584698986559e+05 4.3393329322678881e+05 4.3267478871698387e+05 4.3125478935644496e+05 4.2966270998236182e+05 4.2787544865484658e+05 4.2586814424439531e+05 4.2361515856353624e+05 4.2109077576630417e+05 4.1826686140666605e+05 4.1514591153863701e+05 4.1167520236690115e+05 4.0786585683670873e+05 4.0372668841871037e+05 3.9929016435741895e+05 3.9461152485451504e+05 3.8979591272489622e+05 3.8500006789800938e+05 3.8047902388107096e+05 3.7655665478138131e+05 3.7373684766570502e+05 3.7272279825174290e+05 3.7453557201236667e+05 3.8066190594751947e+05 3.9335472064191278e+05 4.1618063837854593e+05 4.5514714643133682e+05 4.6277295217758801e+04 +1.7265156562291821e+01 2.5284134888282060e+06 2.5281442671049209e+06 2.5276863043319355e+06 2.5270498257532637e+06 2.5263323564883936e+06 2.5257107734757718e+06 2.5252747087498014e+06 2.5248823739211499e+06 2.5243709001379209e+06 2.5236811025625365e+06 2.5228003168792464e+06 2.5216999983313624e+06 2.5203398790035346e+06 2.5186751696108710e+06 2.5166564178150422e+06 2.5142251075067199e+06 2.5113109295156403e+06 2.5078310916352365e+06 2.5036890181264346e+06 2.4987720300386897e+06 2.4929493766534482e+06 2.4860675967962155e+06 2.4779218946367721e+06 2.4681607907882184e+06 2.4563742050457648e+06 2.4423643510682173e+06 2.4259537953079357e+06 2.4068428432499352e+06 2.3846644765325962e+06 2.3590160075518722e+06 2.3294690654280251e+06 2.2955787127131848e+06 2.2568965043246630e+06 2.2129887356538698e+06 2.1634607930370290e+06 2.1079874069039822e+06 2.0463492044062146e+06 1.9784736757862167e+06 1.9044783146609790e+06 1.8247108603694208e+06 1.7332717334064045e+06 1.6369929822221580e+06 1.5373497291956444e+06 1.4361201382691129e+06 1.3352810195703304e+06 1.2368623726830487e+06 1.1427790138360688e+06 1.0546660059832740e+06 9.7374812545424234e+05 9.0076112182099081e+05 8.3594541767138231e+05 7.7911631405127025e+05 7.2977045427267917e+05 6.8716534053050680e+05 6.5046432105845923e+05 6.1884375615276792e+05 5.9153606332694937e+05 5.6787655356544710e+05 5.4730215266969288e+05 5.2936640592146339e+05 5.1369289360852516e+05 4.9999589921678620e+05 4.8802405368225148e+05 4.7759669751246565e+05 4.6854111140999646e+05 4.6071439912275859e+05 4.5400504713965487e+05 4.4829839943121566e+05 4.4348311713142379e+05 4.3947648020559689e+05 4.3617790808012133e+05 4.3351019262890570e+05 4.3138636830783379e+05 4.2972917977904872e+05 4.2843544754140364e+05 4.2740572267615021e+05 4.2656293748141144e+05 4.2583550946341141e+05 4.2515560403059091e+05 4.2467660197986435e+05 4.2419361952488549e+05 4.2370109833741561e+05 4.2318533882806409e+05 4.2265331131424935e+05 4.2209000582125195e+05 4.2151284521780250e+05 4.2087255364497431e+05 4.2018729674909485e+05 4.1944446312918077e+05 4.1863420475449885e+05 4.1774455473302945e+05 4.1676203205642640e+05 4.1566757417049416e+05 4.1446203946605651e+05 4.1310181285217725e+05 4.1157674962877017e+05 4.0986472029447684e+05 4.0794191021072224e+05 4.0578376039032807e+05 4.0336563745855162e+05 4.0066059290292067e+05 3.9767100951806386e+05 3.9434639430381806e+05 3.9069739709394512e+05 3.8673246037983691e+05 3.8248268475724786e+05 3.7800098518787493e+05 3.7338807867265487e+05 3.6879410894975357e+05 3.6446336676675832e+05 3.6070610379602795e+05 3.5800499225313979e+05 3.5703362942756969e+05 3.5877009773570288e+05 3.6463855306086718e+05 3.7679708366692910e+05 3.9866218283871817e+05 4.3598845194495091e+05 4.4162613133776678e+04 +1.7321785476349117e+01 2.4310458633119720e+06 2.4307868487485116e+06 2.4303462726503769e+06 2.4297337852065712e+06 2.4290429313355396e+06 2.4284436475428240e+06 2.4280221008773246e+06 2.4276420310387337e+06 2.4271468107595844e+06 2.4264793971989350e+06 2.4256274515143838e+06 2.4245633759304406e+06 2.4232482762488052e+06 2.4216388751022131e+06 2.4196873875334808e+06 2.4173372709628614e+06 2.4145205915980483e+06 2.4111573522488582e+06 2.4071542398392409e+06 2.4024023898757510e+06 2.3967754882772365e+06 2.3901252953605657e+06 2.3822540172467786e+06 2.3728221888125031e+06 2.3614336516134157e+06 2.3478974524482568e+06 2.3320425311027677e+06 2.3135797926680380e+06 2.2921552248533648e+06 2.2673805581216789e+06 2.2388429758204790e+06 2.2061139908584105e+06 2.1687621363175949e+06 2.1263706695644162e+06 2.0785611636278299e+06 2.0250227784978242e+06 1.9655475731367061e+06 1.9000700127238638e+06 1.8287084768613270e+06 1.7518038474919775e+06 1.6636773752722549e+06 1.5709235293528705e+06 1.4749697624606958e+06 1.3775333171463129e+06 1.2805197476736638e+06 1.1858822276560985e+06 1.0954593242472468e+06 1.0108170638135301e+06 9.3312432497213164e+05 8.6307845008544612e+05 8.0090058600594883e+05 7.4640429999889608e+05 6.9909867064221494e+05 6.5826516240548622e+05 6.2309676029596163e+05 5.9280054640173493e+05 5.6663866746396618e+05 5.4397285283913196e+05 5.2426286903993326e+05 5.0708062224166625e+05 4.9206536671665328e+05 4.7894336455980729e+05 4.6747385245635681e+05 4.5748380954733200e+05 4.4880783711426973e+05 4.4130909727030207e+05 4.3488079815846833e+05 4.2941314241658110e+05 4.2479949616454705e+05 4.2096062726680230e+05 4.1780019948408555e+05 4.1524423935484281e+05 4.1320943059869675e+05 4.1162174528633582e+05 4.1038231951799343e+05 4.0939586889224092e+05 4.0858853678150114e+05 4.0789173110798519e+05 4.0724046405831573e+05 4.0678164365316363e+05 4.0631901227262616e+05 4.0584724482338148e+05 4.0535321853316814e+05 4.0484360981867311e+05 4.0430404278509063e+05 4.0375119788494491e+05 4.0313788713181647e+05 4.0248150578324177e+05 4.0176997385287646e+05 4.0099385828446911e+05 4.0014169644228515e+05 3.9920057537731499e+05 3.9815223742144398e+05 3.9699749669143523e+05 3.9569458726183214e+05 3.9423378705834894e+05 3.9259389906940743e+05 3.9075211215539725e+05 3.8868490219377907e+05 3.8636867381165636e+05 3.8377761562756787e+05 3.8091400224139320e+05 3.7772947922596836e+05 3.7423424298687442e+05 3.7043638027717371e+05 3.6636568118644954e+05 3.6207283096006035e+05 3.5765430260593939e+05 3.5325391457270167e+05 3.4910565655836125e+05 3.4550671689826448e+05 3.4291942472284014e+05 3.4198899476688029e+05 3.4365229234468262e+05 3.4927346311307844e+05 3.6091965882822219e+05 3.8186341118281678e+05 4.1761682508914178e+05 4.2143203157885015e+04 +1.7378414390406412e+01 2.3372856569547160e+06 2.3370364630169310e+06 2.3366126299248757e+06 2.3360232709104861e+06 2.3353581011523274e+06 2.3347803485099142e+06 2.3343728747650413e+06 2.3340047305904455e+06 2.3335253007666268e+06 2.3328796098348573e+06 2.3320556402249206e+06 2.3310267116279406e+06 2.3297552601831430e+06 2.3281994729735679e+06 2.3263131798976557e+06 2.3240417504941779e+06 2.3213195517122354e+06 2.3180692939033834e+06 2.3142008242486441e+06 2.3096089729903555e+06 2.3041717227506954e+06 2.2977458903634562e+06 2.2901404609201569e+06 2.2810276011663778e+06 2.2700246361062159e+06 2.2569472265419806e+06 2.2416304709841595e+06 2.2237955235105064e+06 2.2031009469366889e+06 2.1791724065453433e+06 2.1516121104999827e+06 2.1200074511482348e+06 2.0839433357106657e+06 2.0430193601292579e+06 1.9968726619303157e+06 1.9452062378817443e+06 1.8878230532059560e+06 1.8246641368558866e+06 1.7558485140291520e+06 1.6817102017339384e+06 1.5967834458582331e+06 1.5074327986029868e+06 1.4150393855717066e+06 1.3212614049452047e+06 1.2279355100738318e+06 1.1369407502271708e+06 1.0500422915242207e+06 9.6873987312468828e+05 8.9414887889019423e+05 8.2693008704732265e+05 7.6728652871474030e+05 7.1503051810783427e+05 6.6968345428195503e+05 6.3055012317854329e+05 5.9685220184551680e+05 5.6782643212381541e+05 5.4276360459843278e+05 5.2105086774468096e+05 5.0216994095725502e+05 4.8571036479667982e+05 4.7132643695069343e+05 4.5875591202234599e+05 4.4776819812682865e+05 4.3819759943179146e+05 4.2988573591615946e+05 4.2270157799828495e+05 4.1654286084890802e+05 4.1130444508268294e+05 4.0688420799876400e+05 4.0320626207553106e+05 4.0017834073751094e+05 3.9772957324461668e+05 3.9578014336680103e+05 3.9425911933433183e+05 3.9307177702715027e+05 3.9212682663308852e+05 3.9135349239976413e+05 3.9068605100029550e+05 3.9006224491154699e+05 3.8962277612944588e+05 3.8917965874206083e+05 3.8872779134991852e+05 3.8825460429377179e+05 3.8776649218882207e+05 3.8724968705653708e+05 3.8672015788987651e+05 3.8613271811157709e+05 3.8550402452818345e+05 3.8482250670989655e+05 3.8407912950396381e+05 3.8326291378990142e+05 3.8236149131142889e+05 3.8135737609591254e+05 3.8025134021517186e+05 3.7900339027656906e+05 3.7760420969077578e+05 3.7603349557847343e+05 3.7426939902223839e+05 3.7228938819602958e+05 3.7007086303046462e+05 3.6758910242125933e+05 3.6484627761662035e+05 3.6179608424495166e+05 3.5844828416997747e+05 3.5481062303908460e+05 3.5091163434236561e+05 3.4679986532514676e+05 3.4256771957317909e+05 3.3835295035918697e+05 3.3437967041397613e+05 3.3093254158028564e+05 3.2845438691212988e+05 3.2756320600609400e+05 3.2915634264110494e+05 3.3454040067359048e+05 3.4569533589636802e+05 3.6575564001869195e+05 4.0000089683935698e+05 4.0214844652572174e+04 +1.7435043304463708e+01 2.2470058918421911e+06 2.2467661364096911e+06 2.2463584487779718e+06 2.2457913801859394e+06 2.2451509645536873e+06 2.2445940198264117e+06 2.2442001818847540e+06 2.2438436345564225e+06 2.2433795435608411e+06 2.2427549305577097e+06 2.2419580950614703e+06 2.2409632463988811e+06 2.2397341082854993e+06 2.2382302863781359e+06 2.2364071740852501e+06 2.2342119935674234e+06 2.2315813399468670e+06 2.2284405460519465e+06 2.2247025197790321e+06 2.2202656697309250e+06 2.2150121392489267e+06 2.2088036413400350e+06 2.2014557234597574e+06 2.1926518127349592e+06 2.1820222915809588e+06 2.1693892219155161e+06 2.1545936529503972e+06 2.1373666476008464e+06 2.1173789257583497e+06 2.0942696189525796e+06 2.0676554471354065e+06 2.0371391292449823e+06 2.0023213622930197e+06 1.9628174784164175e+06 1.9182795794198988e+06 1.8684239283337092e+06 1.8130638927108401e+06 1.7521466737643529e+06 1.6857917179160027e+06 1.6143261800026514e+06 1.5324897236292036e+06 1.4464244266541055e+06 1.3574664018579067e+06 1.2672166324215252e+06 1.1774451583105319e+06 1.0899595212709785e+06 1.0064542375029714e+06 9.2836540720388549e+05 8.5675722641726024e+05 7.9225567078543757e+05 7.3504675565217796e+05 6.8494198683783726e+05 6.4147495623185660e+05 6.0397314013669954e+05 5.7168598744182615e+05 5.4387887004092569e+05 5.1987017317482090e+05 4.9907150035160949e+05 4.8098566852299182e+05 4.6521915338423074e+05 4.5144068968998379e+05 4.3939905733975983e+05 4.2887341866481147e+05 4.1970510164130910e+05 4.1174245507983339e+05 4.0486001761613542e+05 3.9895986457259662e+05 3.9394132187746948e+05 3.8970659192927129e+05 3.8618299422944657e+05 3.8328216416231787e+05 3.8093620696788392e+05 3.7906866315789841e+05 3.7761157102993678e+05 3.7647417735299491e+05 3.7556902368639543e+05 3.7482829005120118e+05 3.7418900499575224e+05 3.7359152941710060e+05 3.7317061536225525e+05 3.7274620830111962e+05 3.7231342136295466e+05 3.7186021524318808e+05 3.7139271437086468e+05 3.7089773357121949e+05 3.7039056007370766e+05 3.6982792573049339e+05 3.6922577954658499e+05 3.6857303966201469e+05 3.6786105243956135e+05 3.6707930236027105e+05 3.6621594342638674e+05 3.6525422950019431e+05 3.6419489272888476e+05 3.6299963870471908e+05 3.6165953985666344e+05 3.6015515061244799e+05 3.5846554464501992e+05 3.5656914155643521e+05 3.5444429558904242e+05 3.5206733093478414e+05 3.4944032012053643e+05 3.4651892387362797e+05 3.4331248763748369e+05 3.3982843000078812e+05 3.3609407960925996e+05 3.3215593376382062e+05 3.2810249423180101e+05 3.2406569884082151e+05 3.2026019049230055e+05 3.1695861997329764e+05 3.1458510784817353e+05 3.1373155939444667e+05 3.1525742472642899e+05 3.2041413579242799e+05 3.3109804365071759e+05 3.5031128525381547e+05 3.8311050039993628e+05 3.8373500184775694e+04 +1.7491672218521003e+01 2.1600837346273619e+06 2.1598530862784106e+06 2.1594609507341506e+06 2.1589153417891487e+06 2.1582988146365811e+06 2.1577619567277567e+06 2.1573813331903201e+06 2.1570360577669893e+06 2.1565868638551054e+06 2.1559827006789180e+06 2.1552121792790289e+06 2.1542503718185751e+06 2.1530622478454947e+06 2.1516087873010654e+06 2.1498468969473960e+06 2.1477255938813323e+06 2.1451836308376431e+06 2.1421488804438175e+06 2.1385372145670205e+06 2.1342505070578870e+06 2.1291749298309628e+06 2.1231769362847386e+06 2.1160784258437837e+06 2.1075737251917431e+06 2.0973058600950795e+06 2.0851030868267941e+06 2.0708122036620493e+06 2.0541738524568244e+06 2.0348705047206590e+06 2.0125543039628342e+06 1.9868559848531343e+06 1.9573930576582497e+06 1.9237814439461261e+06 1.8856516300781649e+06 1.8426701032012987e+06 1.7945658436285534e+06 1.7411621381341068e+06 1.6824119875529041e+06 1.6184350503800076e+06 1.5495516316456567e+06 1.4706994851079762e+06 1.3878054421706561e+06 1.3021618889767388e+06 1.2153143760934833e+06 1.1289685516462608e+06 1.0448629839989649e+06 9.6462419644267228e+05 8.8962720061848091e+05 8.2088721913641784e+05 7.5899710836225748e+05 7.0412691054553736e+05 6.5608773372602079e+05 6.1442522337621544e+05 5.7848892506637285e+05 5.4755516355035256e+05 5.2091694266060757e+05 4.9791922828405706e+05 4.7799714893802837e+05 4.6067379522569652e+05 4.4557190504178882e+05 4.3237406720960891e+05 4.2083963791252591e+05 4.1075713295027928e+05 4.0197461481234804e+05 3.9434688283891464e+05 3.8775381338605355e+05 3.8210164250871050e+05 3.7729397650110297e+05 3.7323716421735700e+05 3.6986160006791889e+05 3.6708266039238608e+05 3.6483530467406451e+05 3.6304629253902659e+05 3.6165051122554281e+05 3.6056101616763434e+05 3.5969402353492304e+05 3.5898454893155891e+05 3.5837226050983521e+05 3.5780003015886206e+05 3.5739690579043800e+05 3.5699043751847936e+05 3.5657594420017954e+05 3.5614189503575978e+05 3.5569415542016027e+05 3.5522009887470084e+05 3.5473435935618635e+05 3.5419550751131325e+05 3.5361881395592832e+05 3.5299366525235405e+05 3.5231177354625263e+05 3.5156306780241337e+05 3.5073620274499361e+05 3.4981514148695557e+05 3.4880057826635789e+05 3.4765584708371013e+05 3.4637239356387500e+05 3.4493159408786742e+05 3.4331340687426011e+05 3.4149716371795791e+05 3.3946213381882908e+05 3.3718564348731947e+05 3.3466967095523083e+05 3.3187176051616203e+05 3.2880085857717885e+05 3.2546407015567162e+05 3.2188756873761455e+05 3.1811588621461246e+05 3.1423378343783639e+05 3.1036762254057027e+05 3.0672296743520664e+05 3.0356095270850789e+05 3.0128776788079558e+05 3.0047029991994839e+05 3.0193166805655160e+05 3.0687040746975009e+05 3.1710271212854417e+05 3.3550382215474098e+05 3.6691662752203940e+05 3.6615307772647706e+04 +1.7548301132578299e+01 2.0764004082356482e+06 2.0761785029615657e+06 2.0758013651290606e+06 2.0752764454194251e+06 2.0746829382210986e+06 2.0741654905969403e+06 2.0737976703434682e+06 2.0734633466232927e+06 2.0730286170697880e+06 2.0724442918417961e+06 2.0716992862474700e+06 2.0707695089426581e+06 2.0696211348764312e+06 2.0682164754737788e+06 2.0665139019357860e+06 2.0644641703065254e+06 2.0620081223322195e+06 2.0590760901046975e+06 2.0555868154509685e+06 2.0514455275434470e+06 2.0465422985071894e+06 2.0407481707619475e+06 2.0338911913913696e+06 2.0256762362148243e+06 2.0157585720118913e+06 2.0039724486176809e+06 1.9901702179820014e+06 1.9741017809525456e+06 1.9554609674839664e+06 1.9339124927341135e+06 1.9091006245450045e+06 1.8806571463611643e+06 1.8482126576288866e+06 1.8114122367784702e+06 1.7699361979818193e+06 1.7235257106577856e+06 1.6720135177773412e+06 1.6153580652300937e+06 1.5536790289256852e+06 1.4872898853807533e+06 1.4113193935873513e+06 1.3314861566508829e+06 1.2490400922561015e+06 1.1654730544974452e+06 1.0824284566017347e+06 1.0015783471586590e+06 9.2448382220611081e+05 8.5246126060021541e+05 7.8647903670574923e+05 7.2709849585392443e+05 6.7447469524634257e+05 6.2841872366265219e+05 5.8848813044693845e+05 5.5405391967487009e+05 5.2441841986471671e+05 4.9890129951776366e+05 4.7687312532391027e+05 4.5779165378128021e+05 4.4119945560376765e+05 4.2673488334820018e+05 4.1409381941687211e+05 4.0304576479575748e+05 3.9338820385445189e+05 3.8497565578162711e+05 3.7766910326063435e+05 3.7135353910008626e+05 3.6593918783915864e+05 3.6133375861249934e+05 3.5744757523351494e+05 3.5421398017915967e+05 3.5155193617882015e+05 3.4939914004138735e+05 3.4768543834432674e+05 3.4634845091749338e+05 3.4530488605095138e+05 3.4447448397687526e+05 3.4379498041455320e+05 3.4320857528330933e+05 3.4266054830994544e+05 3.4227447921669489e+05 3.4188520909077808e+05 3.4148825406672666e+05 3.4107257087380422e+05 3.4064377657545946e+05 3.4018978025361482e+05 3.3972458992222225e+05 3.3920853860277933e+05 3.3865624674521736e+05 3.3805754999375867e+05 3.3740451117384859e+05 3.3668748538175994e+05 3.3589560738907411e+05 3.3501352020485257e+05 3.3404188207420107e+05 3.3294558767964371e+05 3.3171644064347999e+05 3.3033660536223109e+05 3.2878688807738968e+05 3.2704749511344481e+05 3.2509857284956682e+05 3.2291840827044402e+05 3.2050888954309764e+05 3.1782936628342402e+05 3.1488840254105366e+05 3.1169280270898808e+05 3.0826763280790742e+05 3.0465554047065269e+05 3.0093770009087393e+05 2.9723512826094427e+05 2.9374468507837201e+05 2.9071646398982772e+05 2.8853946401624643e+05 2.8775658674053143e+05 2.8915612070223293e+05 2.9388588834608410e+05 3.0368523613956891e+05 3.2130774674508680e+05 3.5139138628937636e+05 3.4936573449900963e+04 +1.7604930046635594e+01 1.9958410042804470e+06 1.9956275688502309e+06 1.9952648725595088e+06 1.9947598751683666e+06 1.9941885793456631e+06 1.9936898569489988e+06 1.9933344427784448e+06 1.9930107589931164e+06 1.9925900713403930e+06 1.9920249879059559e+06 1.9913047211282640e+06 1.9904059899845957e+06 1.9892961358527292e+06 1.9879387600908959e+06 1.9862936508546909e+06 1.9843132486259213e+06 1.9819404175576658e+06 1.9791078711153492e+06 1.9757371297877706e+06 1.9717366712395824e+06 1.9670003431163954e+06 1.9614036298294940e+06 1.9547805277470415e+06 1.9468461215492690e+06 1.9372675281459105e+06 1.9258847959776258e+06 1.9125556413376718e+06 1.8970389138500716e+06 1.8790394206843339e+06 1.8582340218950713e+06 1.8342800520635108e+06 1.8068230662891651e+06 1.7755078132686282e+06 1.7399934205493149e+06 1.6999734909810449e+06 1.6552008750215739e+06 1.6055173281485320e+06 1.5508864040814412e+06 1.4914276152471069e+06 1.4274476392299919e+06 1.3542593908530625e+06 1.2773800582657293e+06 1.1980183210359458e+06 1.1176140274020396e+06 1.0377504494418898e+06 9.6003549112673919e+05 8.8596729825702787e+05 8.1680598115973128e+05 7.5347510521595122e+05 6.9650604093126208e+05 6.4603979642446851e+05 6.0188778949230176e+05 5.6361931426508829e+05 5.3062623314660101e+05 5.0223602984503261e+05 4.7779410036359419e+05 4.5669566553658468e+05 4.3842024475954118e+05 4.2252912465706654e+05 4.0867564942107425e+05 3.9656845623766555e+05 3.8598677629918262e+05 3.7673669290395646e+05 3.6867891516650002e+05 3.6168035262699472e+05 3.5563090214966208e+05 3.5044461140982289e+05 3.4603312199087243e+05 3.4231056804435735e+05 3.3921311833817745e+05 3.3666317362146726e+05 3.3460105574443674e+05 3.3295957133118645e+05 3.3167896105045982e+05 3.3067943641225959e+05 3.2988411713796470e+05 3.2923334814361972e+05 3.2867175754337717e+05 3.2814693385593052e+05 3.2777721507553465e+05 3.2740443215551844e+05 3.2702429039268580e+05 3.2662621391118737e+05 3.2621558171629161e+05 3.2578081624471251e+05 3.2533532578474202e+05 3.2484113240159146e+05 3.2431223346051603e+05 3.2373889512312820e+05 3.2311351639716490e+05 3.2242686089402169e+05 3.2166852358811046e+05 3.2082379920974310e+05 3.1989331183334900e+05 3.1884345183809742e+05 3.1766636624367803e+05 3.1634497488633532e+05 3.1486089697229117e+05 3.1319517720268347e+05 3.1132880287332460e+05 3.0924098186342319e+05 3.0693351631934312e+05 3.0436748609858949e+05 3.0155108889153018e+05 2.9849084089461440e+05 2.9521074644634384e+05 2.9175164681467420e+05 2.8819127820110868e+05 2.8464553258175426e+05 2.8130292635174573e+05 2.7840296784677019e+05 2.7631817642289167e+05 2.7556845977897121e+05 2.7690871578309126e+05 2.8143815058780141e+05 2.9082244001328479e+05 3.0769853850550955e+05 3.3650796032375068e+05 3.3333764135287704e+04 +1.7661558960692890e+01 1.9182945044748397e+06 1.9180892053751387e+06 1.9177404064729584e+06 1.9172546143425363e+06 1.9167047180880064e+06 1.9162240883660656e+06 1.9158806929381301e+06 1.9155673484229343e+06 1.9151602920155863e+06 1.9146138694652070e+06 1.9139175852642939e+06 1.9130489427875972e+06 1.9119764122142766e+06 1.9106648443520386e+06 1.9090753983770378e+06 1.9071621460896335e+06 1.9048699093721844e+06 1.9021337071993921e+06 1.8988777500647586e+06 1.8950136603057561e+06 1.8904389400150392e+06 1.8850333727800625e+06 1.8786367116690958e+06 1.8709739198695954e+06 1.8617235847154481e+06 1.8507313639968862e+06 1.8378601549300386e+06 1.8228774551509512e+06 1.8054986794732802e+06 1.7854124193086808e+06 1.7622886242546730e+06 1.7357861357129051e+06 1.7055633405174043e+06 1.6712928910155415e+06 1.6326811597273813e+06 1.5894921895101485e+06 1.5415763232718406e+06 1.4889019019665194e+06 1.4315881066983684e+06 1.3699348534000397e+06 1.2994325918573495e+06 1.2254037086625467e+06 1.1490168479455695e+06 1.0716614979367375e+06 9.9486282152038242e+05 9.2016687681983074e+05 8.4901125041268487e+05 7.8260205988539651e+05 7.2182001811343629e+05 6.6716798791745771e+05 6.1877381463826052e+05 5.7644956488761050e+05 5.3977611014274752e+05 5.0816558176467149e+05 4.8096979323326208e+05 4.5755896025795414e+05 4.3735204336975981e+05 4.1984949070940854e+05 4.0463056895733241e+05 3.9136301456335117e+05 3.7976770160560007e+05 3.6963319315231947e+05 3.6077381646692322e+05 3.5305621444717038e+05 3.4635297728920786e+05 3.4055870204934606e+05 3.3559110082394886e+05 3.3136558411404252e+05 3.2779993839903071e+05 3.2483304183509119e+05 3.2239059077695198e+05 3.2041542429156805e+05 3.1884318719954282e+05 3.1761663367996301e+05 3.1665933476483525e+05 3.1589765084008977e+05 3.1527442947515985e+05 3.1473662751065427e+05 3.1423404716408189e+05 3.1388000204545923e+05 3.1352302394600579e+05 3.1315899953460565e+05 3.1277780100243911e+05 3.1238457915783988e+05 3.1196824848151358e+05 3.1154164268219785e+05 3.1106840250863874e+05 3.1056192822447640e+05 3.1001289868823189e+05 3.0941403517653683e+05 3.0875649290626356e+05 3.0803030800678302e+05 3.0722139989138447e+05 3.0633036019456288e+05 3.0532501264149410e+05 3.0419783362581173e+05 3.0293246715475630e+05 3.0151131175099203e+05 2.9991621579080506e+05 2.9812897268022673e+05 2.9612967301526677e+05 2.9392003678637376e+05 2.9146280205056729e+05 2.8876581548535731e+05 2.8583531701867515e+05 2.8269429325009015e+05 2.7938185385010683e+05 2.7597243913598248e+05 2.7257702852284402e+05 2.6937614033434540e+05 2.6659913552858238e+05 2.6460273606991000e+05 2.6388480745003797e+05 2.6516823903717811e+05 2.6950563292641251e+05 2.7849204353849922e+05 2.9465262433953589e+05 3.2224056937823520e+05 3.1803500795222135e+04 +1.7718187874750186e+01 1.8436535106179796e+06 1.8434560282063978e+06 1.8431206424865287e+06 1.8426533496012324e+06 1.8421240855432220e+06 1.8416609075222900e+06 1.8413291531072843e+06 1.8410258530577859e+06 1.8406320286966255e+06 1.8401037010829228e+06 1.8394306633859479e+06 1.8385911780836992e+06 1.8375548076255026e+06 1.8362876127375006e+06 1.8347520793468049e+06 1.8329038587069993e+06 1.8306896676901204e+06 1.8280467570700294e+06 1.8249019412595325e+06 1.8211698864243417e+06 1.8167516315179823e+06 1.8115311206344021e+06 1.8053536765949707e+06 1.7979538204156803e+06 1.7890212410785360e+06 1.7784070220183786e+06 1.7659790636993041e+06 1.7515132202365689e+06 1.7347351558527050e+06 1.7153447926481166e+06 1.6930242578156623e+06 1.6674452094216740e+06 1.6382791783421026e+06 1.6052118354733437e+06 1.5679618227156615e+06 1.5263039054493592e+06 1.4800966068703455e+06 1.4293127504886121e+06 1.3740710306649774e+06 1.3146646460541948e+06 1.2467551822833212e+06 1.1754766426398621e+06 1.1019588110484765e+06 1.0275424175660569e+06 9.5369648743863776e+05 8.8190745735693665e+05 8.1355466228414536e+05 7.4979241734030086e+05 6.9146045965621620e+05 6.3903454526250658e+05 5.9263019571569632e+05 5.5206041943136952e+05 5.1691749039780954e+05 4.8663323054451478e+05 4.6058298049151589e+05 4.3816089649790508e+05 4.1880879560874269e+05 4.0204725049240817e+05 3.8747279941005440e+05 3.7476699450834643e+05 3.6366244900888839e+05 3.5395667518408777e+05 3.4547190342926118e+05 3.3808046450321918e+05 3.3166039295166574e+05 3.2611079036510596e+05 3.2135288092283328e+05 3.1730568710978550e+05 3.1389049607648113e+05 3.1104878315291327e+05 3.0870940360951104e+05 3.0681761019487167e+05 3.0531176893876295e+05 3.0413704445844115e+05 3.0322022932146385e+05 3.0249079128282802e+05 3.0189397823252837e+05 3.0137898021657555e+05 3.0089772185960365e+05 3.0055870096718532e+05 3.0021687275243195e+05 2.9986829777817358e+05 2.9950327775069070e+05 2.9912674474532733e+05 2.9872808483746822e+05 2.9831958127418114e+05 2.9786642597997119e+05 2.9738144704501441e+05 2.9685571892246604e+05 2.9628227180165169e+05 2.9565263627870765e+05 2.9495727135483176e+05 2.9418269517816073e+05 2.9332946858904575e+05 2.9236678883919114e+05 2.9128744822673418e+05 2.9007578491892491e+05 2.8871494446073321e+05 2.8718754559709382e+05 2.8547615443911508e+05 2.8356170766017138e+05 2.8144584679005860e+05 2.7909289896054409e+05 2.7651037455794762e+05 2.7370424868925259e+05 2.7069653239113605e+05 2.6752467549517570e+05 2.6425995901834185e+05 2.6100865334175804e+05 2.5794361043049287e+05 2.5528446400890790e+05 2.5337279346677856e+05 2.5268533548455386e+05 2.5391429749349749e+05 2.5806760881846072e+05 2.6667262906349555e+05 2.8214734376120602e+05 3.0856443126506434e+05 3.0342551887999107e+04 +1.7774816788807481e+01 1.7718142030378496e+06 1.7716242888537922e+06 1.7713017873148543e+06 1.7708523222918047e+06 1.7703429466200320e+06 1.7698966146575888e+06 1.7695761338683427e+06 1.7692825865585429e+06 1.7689016050493272e+06 1.7683908212184985e+06 1.7677403135927124e+06 1.7669290794935310e+06 1.7659277379567097e+06 1.7647035210334272e+06 1.7632201987803318e+06 1.7614349512817739e+06 1.7592963295238395e+06 1.7567437444920021e+06 1.7537065309575005e+06 1.7501023009329857e+06 1.7458355160882827e+06 1.7407941463762231e+06 1.7348289029422544e+06 1.7276835533779301e+06 1.7190585302051413e+06 1.7088101642253611e+06 1.6968111870721122e+06 1.6828455267721866e+06 1.6666487497821928e+06 1.6479317207309925e+06 1.6263883209141998e+06 1.6017025706972736e+06 1.5735586674112598e+06 1.5416548117648186e+06 1.5057214328688977e+06 1.4655435668716677e+06 1.4209875273764215e+06 1.3720303310166432e+06 1.3187900417655264e+06 1.2615531919352431e+06 1.1961463189561425e+06 1.1275212706681702e+06 1.0567701188063626e+06 9.8518639385250397e+05 9.1418489594814472e+05 8.4519459241472534e+05 7.7953879333381949e+05 7.1832211899891240e+05 6.6234513079997362e+05 6.1205781536608678e+05 5.6756416438305634e+05 5.2867839584426570e+05 4.9500400490632915e+05 4.6599193682281277e+05 4.4104027910917852e+05 4.1956627733968920e+05 4.0103375222583342e+05 3.8498262571443943e+05 3.7102602561649244e+05 3.5885876521882176e+05 3.4822471854505996e+05 3.3892997948019265e+05 3.3080435430584959e+05 3.2372562555979780e+05 3.1757704534221994e+05 3.1226203200805670e+05 3.0770517561581614e+05 3.0382896003828931e+05 3.0055802755192394e+05 2.9783634295069508e+05 2.9559578923730558e+05 2.9378393342995137e+05 2.9234175045932794e+05 2.9121671640083095e+05 2.9033871286584710e+05 2.8964018699968234e+05 2.8906868873211520e+05 2.8857554959087679e+05 2.8811472896949161e+05 2.8779010902813502e+05 2.8746280214790825e+05 2.8712903560525225e+05 2.8677952281831083e+05 2.8641898621086770e+05 2.8603726382965810e+05 2.8564611159181042e+05 2.8521220783148363e+05 2.8474783237907616e+05 2.8424443886979157e+05 2.8369535358870216e+05 2.8309246693515574e+05 2.8242664323815500e+05 2.8168497448103526e+05 2.8086799227500276e+05 2.7994621000769699e+05 2.7891272294704389e+05 2.7775253462008934e+05 2.7644950659780472e+05 2.7498699603250838e+05 2.7334830967923196e+05 2.7151519512862258e+05 2.6948921898068819e+05 2.6723623112507060e+05 2.6476341977429757e+05 2.6207650620190808e+05 2.5919656635829949e+05 2.5615945910335265e+05 2.5303343723554781e+05 2.4992025743068673e+05 2.4698542363205773e+05 2.4443924556464830e+05 2.4260878847126343e+05 2.4195053681941263e+05 2.4312728921626831e+05 2.4710415569406177e+05 2.5534360971717411e+05 2.7016091527522600e+05 2.9545572508669196e+05 2.8947827078489718e+04 +1.7831445702864777e+01 1.7026762733240020e+06 1.7024936244279840e+06 1.7021835273415130e+06 1.7017512358019704e+06 1.7012610268016416e+06 1.7008309740146815e+06 1.7005214119716976e+06 1.7002373300608597e+06 1.6998688114431668e+06 1.6993750348795692e+06 1.6987463600957817e+06 1.6979624962347809e+06 1.6969950839656065e+06 1.6958124890324608e+06 1.6943797245793412e+06 1.6926554501193869e+06 1.6905899917309918e+06 1.6881248510586307e+06 1.6851918021361802e+06 1.6817113076611063e+06 1.6775911412122182e+06 1.6727231678894486e+06 1.6669633111014529e+06 1.6600642829705717e+06 1.6517369118626723e+06 1.6418426029526039e+06 1.6302587523997766e+06 1.6167770883268316e+06 1.6011427429959022e+06 1.5830771475988631e+06 1.5622855275613994e+06 1.5384638260255149e+06 1.5113084452142222e+06 1.4805296438994741e+06 1.4458691737611662e+06 1.4071219074566495e+06 1.3641615757202718e+06 1.3169691134874613e+06 1.2656618218551029e+06 1.2105196237684991e+06 1.1475280330384357e+06 1.0814627841806873e+06 1.0133793577978716e+06 9.4452560093984730e+05 8.7626394352991367e+05 8.0996796520210325e+05 7.4690709948910691e+05 6.8813829966336768e+05 6.3442467748086422e+05 5.8619172668716765e+05 5.4353266007627861e+05 5.0626314929405838e+05 4.7399772365138761e+05 4.4620589573953080e+05 4.2230774171964126e+05 4.0174277245279576e+05 3.8399598889705032e+05 3.6862591505481390e+05 3.5526161178699479e+05 3.4361062019093352e+05 3.3342761544192571e+05 3.2452691996096453e+05 3.1674560175113013e+05 3.0996666850495624e+05 3.0407837222795963e+05 2.9898826785410527e+05 2.9462417101418047e+05 2.9091188246669399e+05 2.8777925994066405e+05 2.8517265431777918e+05 2.8302685043962335e+05 2.8129163415167294e+05 2.7991048147174629e+05 2.7883308489314845e+05 2.7799228786214429e+05 2.7732339405052224e+05 2.7677616104372591e+05 2.7630397377959709e+05 2.7586274229772011e+05 2.7555192517531605e+05 2.7523853643870668e+05 2.7491896318655455e+05 2.7458431346008740e+05 2.7423910874903656e+05 2.7387362024202198e+05 2.7349909870890208e+05 2.7308364676194167e+05 2.7263901891217072e+05 2.7215703222482739e+05 2.7163129678197700e+05 2.7105404783965810e+05 2.7041653821724799e+05 2.6970640984148538e+05 2.6892416658068413e+05 2.6804158290590346e+05 2.6705204463246645e+05 2.6594119300798920e+05 2.6469357588561357e+05 2.6329325815149024e+05 2.6172425643830595e+05 2.5996909551489603e+05 2.5802927042662958e+05 2.5587209019834237e+05 2.5350443440878208e+05 2.5093178104243919e+05 2.4817430980671017e+05 2.4526635467817783e+05 2.4227326602965596e+05 2.3929247428238441e+05 2.3648244083581187e+05 2.3404453839879064e+05 2.3229192113085528e+05 2.3166166251860361e+05 2.3278837408316039e+05 2.3659612525931932e+05 2.4448519872225064e+05 2.5867240390748307e+05 2.8289155572837486e+05 2.7616371212607781e+04 +1.7888074616922072e+01 1.6361427280437225e+06 1.6359670759530142e+06 1.6356689377705469e+06 1.6352531902075862e+06 1.6347814566322099e+06 1.6343671162635097e+06 1.6340681215549430e+06 1.6337932268957857e+06 1.6334368002842066e+06 1.6329595089325525e+06 1.6323519886388590e+06 1.6315946384775313e+06 1.6306600866225914e+06 1.6295177958946489e+06 1.6281339828855423e+06 1.6264687384203663e+06 1.6244741064067029e+06 1.6220936116127502e+06 1.6192613886281701e+06 1.6159006584200538e+06 1.6119223989436494e+06 1.6072222435535477e+06 1.6016611571149006e+06 1.5950005031919156e+06 1.5869611684637722e+06 1.5774094646504805e+06 1.5662272910869948e+06 1.5532139106741557e+06 1.5381236955195090e+06 1.5206882792718341e+06 1.5006238346639392e+06 1.4776378025086343e+06 1.4514383439123705e+06 1.4217473204119257e+06 1.3883173585756095e+06 1.3509527501984732e+06 1.3095342858560714e+06 1.2640465579394973e+06 1.2146059827638778e+06 1.1614859364182039e+06 1.1008251359614907e+06 1.0372290635810830e+06 9.7171770313259575e+05 9.0549469269954308e+05 8.3987189059842878e+05 7.7616950200278207e+05 7.1560515625001129e+05 6.5919009028298908e+05 6.0765162120982271e+05 5.6139196807587391e+05 5.2049427487966052e+05 4.8477588873319590e+05 4.5386218119589851e+05 4.2724068756118842e+05 4.0435273597623472e+05 3.8465930506123666e+05 3.6766578113780887e+05 3.5294857015134982e+05 3.4015203416379914e+05 3.2899592921746359e+05 3.1924528999487881e+05 3.1072232835215883e+05 3.0327107242304482e+05 2.9677953753180377e+05 2.9114076673461846e+05 2.8626627864695218e+05 2.8208697983447067e+05 2.7853184929502843e+05 2.7553182618306449e+05 2.7303554825617571e+05 2.7098058138646884e+05 2.6931883862049063e+05 2.6799619357408851e+05 2.6696446390460164e+05 2.6615933276687923e+05 2.6551884241167415e+05 2.6499486744521657e+05 2.6454276165784959e+05 2.6412030498881597e+05 2.6382271671861311e+05 2.6352266730715916e+05 2.6321669705983100e+05 2.6289629224598908e+05 2.6256578178073996e+05 2.6221585193171335e+05 2.6185726959392393e+05 2.6145950205521964e+05 2.6103380051255389e+05 2.6057233034704786e+05 2.6006897363415229e+05 2.5951629614492942e+05 2.5890592303222758e+05 2.5822602324169158e+05 2.5747707431211162e+05 2.5663205898884937e+05 2.5568464170612494e+05 2.5462107490896372e+05 2.5342656419203873e+05 2.5208585274057952e+05 2.5058363754126569e+05 2.4890318816928074e+05 2.4704593133989853e+05 2.4498057418040119e+05 2.4271370062052165e+05 2.4025055547407633e+05 2.3761045947860251e+05 2.3482628514647300e+05 2.3196060113349551e+05 2.2910669148560287e+05 2.2641626818084394e+05 2.2408213827425448e+05 2.2240412353070555e+05 2.2180069369634043e+05 2.2287944557327693e+05 2.2652511482064915e+05 2.3407837976302509e+05 2.4766168985449348e+05 2.7084991957023402e+05 2.6345358541240315e+04 +1.7944703530979368e+01 1.5721199005310130e+06 1.5719509836022393e+06 1.5716643592048057e+06 1.5712645348849776e+06 1.5708106074816564e+06 1.5704114175437803e+06 1.5701226575381143e+06 1.5698566807132803e+06 1.5695119839518482e+06 1.5690506700075523e+06 1.5684636444860310e+06 1.5677319752965232e+06 1.5668292450767073e+06 1.5657259781175849e+06 1.5643895560630229e+06 1.5627814542650306e+06 1.5608553789060926e+06 1.5585568122939228e+06 1.5558221731997204e+06 1.5525773511350590e+06 1.5487364240690311e+06 1.5441986704762282e+06 1.5388299309597556e+06 1.5323999361972045e+06 1.5246393035593424e+06 1.5154190885125594e+06 1.5046255373538593e+06 1.4920651907289072e+06 1.4775013448242489e+06 1.4606754831565826e+06 1.4413143417410401e+06 1.4191364479430504e+06 1.3938612908391771e+06 1.3652218953722375e+06 1.3329813317244407e+06 1.2969529097584523e+06 1.2570241379737039e+06 1.2131830187449262e+06 1.1655449717204103e+06 1.1143768937170424e+06 1.0559651280253860e+06 9.9475058891887125e+05 9.3171883149916294e+05 8.6803071848478436e+05 8.0494928025604959e+05 7.4374329420914582e+05 6.8558058422088844e+05 6.3142854712294880e+05 5.8198029192635091e+05 5.3761592526402767e+05 4.9840919352517120e+05 4.6417932020030718e+05 4.3456232303192816e+05 4.0906322679247870e+05 3.8714389613620751e+05 3.6828600571683265e+05 3.5201456000644754e+05 3.3792315299860953e+05 3.2567083990147448e+05 3.1498909857021784e+05 3.0565289888720930e+05 2.9749201649251819e+05 2.9035715015882615e+05 2.8414111407030525e+05 2.7874154192962282e+05 2.7407375014531735e+05 2.7007160702770686e+05 2.6666713679712225e+05 2.6379423143039830e+05 2.6140372035390657e+05 2.5943583454968099e+05 2.5784452630774325e+05 2.5657796751006838e+05 2.5559001336788014e+05 2.5481906950348447e+05 2.5420580352717661e+05 2.5370412003852552e+05 2.5327126049911670e+05 2.5286679725065033e+05 2.5258188708791632e+05 2.5229462160463806e+05 2.5200168796397682e+05 2.5169493492810216e+05 2.5137850686306489e+05 2.5104348778286693e+05 2.5070018110667879e+05 2.5031936162608166e+05 2.4991179833088056e+05 2.4946999041498618e+05 2.4898808062202041e+05 2.4845895147619993e+05 2.4787458496041739e+05 2.4722365504624159e+05 2.4650661428572293e+05 2.4569760304382700e+05 2.4479055291980054e+05 2.4377230210872422e+05 2.4262868655805022e+05 2.4134509950967893e+05 2.3990688997650021e+05 2.3829804127906120e+05 2.3651991488464313e+05 2.3454255747754438e+05 2.3237226979074618e+05 2.3001407317541438e+05 2.2748646516494546e+05 2.2482091765962224e+05 2.2207733342252529e+05 2.1934502272688618e+05 2.1676922937780831e+05 2.1453455112819464e+05 2.1292803261093178e+05 2.1235031440988206e+05 2.1338310352697130e+05 2.1687343960029917e+05 2.2410487837832133e+05 2.3710943821514244e+05 2.5930967138548550e+05 2.5132087183721513e+04 +1.8001332445036663e+01 1.5105171883978597e+06 1.5103547795160885e+06 1.5100792359663795e+06 1.5096947573019187e+06 1.5092580021127199e+06 1.5088734276762309e+06 1.5085945743862560e+06 1.5083372562257401e+06 1.5080039353688196e+06 1.5075581049991394e+06 1.5069909329131984e+06 1.5062841351837937e+06 1.5054122171949612e+06 1.5043467300822570e+06 1.5030561832555467e+06 1.5015033912036836e+06 1.4996436684449532e+06 1.4974243911723748e+06 1.4947841882088971e+06 1.4916515305353308e+06 1.4879434948661546e+06 1.4835628852975341e+06 1.4783802574431703e+06 1.4721734332756193e+06 1.4646824429128966e+06 1.4557829276695570e+06 1.4453653295926738e+06 1.4332432180982092e+06 1.4191885075853714e+06 1.4029521900726364e+06 1.3842711932482892e+06 1.3628747335139662e+06 1.3384932116282559e+06 1.3108703920298712e+06 1.2797793731116259e+06 1.2450420974498976e+06 1.2065524643409792e+06 1.1643016514714588e+06 1.1184039794161227e+06 1.0691199379309046e+06 1.0128781096279151e+06 9.5396035315926070e+05 8.9331883679876907e+05 8.3207304141910246e+05 7.7143885954508651e+05 7.1263552279457869e+05 6.5678297700438439e+05 6.0480658321599255e+05 5.5736676304482669e+05 5.1482261946102727e+05 4.7723913539643149e+05 4.4443759203272319e+05 4.1606445374617982e+05 3.9164171301919408e+05 3.7065107629613206e+05 3.5259416765642597e+05 3.3701486932937021e+05 3.2352329481109680e+05 3.1179260736625444e+05 3.0156553255238076e+05 2.9262656783996464e+05 2.8481273994580866e+05 2.7798114042544866e+05 2.7202918196385558e+05 2.6685889663241187e+05 2.6238923947705660e+05 2.5855691660098173e+05 2.5529686983688475e+05 2.5254582059682699e+05 2.5025669861578930e+05 2.4837228876236131e+05 2.4684849814125363e+05 2.4563570156453957e+05 2.4468970769009058e+05 2.4395153206567408e+05 2.4336435898662603e+05 2.4288403948661406e+05 2.4246962476681973e+05 2.4208240519352746e+05 2.4180964470870525e+05 2.4153463026308082e+05 2.4125418978449411e+05 2.4096051942947210e+05 2.4065758671401118e+05 2.4033685677264867e+05 2.4000818910665601e+05 2.3964361117536097e+05 2.3925343000458562e+05 2.3883046468585092e+05 2.3836910776482671e+05 2.3786254531452715e+05 2.3730310127335144e+05 2.3667993353878072e+05 2.3599347095200987e+05 2.3521896291374366e+05 2.3435059719148497e+05 2.3337577331182358e+05 2.3228093129950340e+05 2.3105208735366687e+05 2.2967521533259068e+05 2.2813498250387536e+05 2.2643268803146455e+05 2.2453966200076955e+05 2.2246193388799427e+05 2.2020431089692388e+05 2.1778450167275596e+05 2.1523263588974287e+05 2.1260606154906997e+05 2.0999028076060532e+05 2.0752433899755229e+05 2.0538496663554074e+05 2.0384696393023894e+05 2.0329388549247329e+05 2.0428262785279515e+05 2.0762410601221735e+05 2.1454713434541790e+05 2.2699706977366150e+05 2.4825049238836585e+05 2.3973973821301795e+04 +1.8057961359093959e+01 1.4512471891284015e+06 1.4510910132176895e+06 1.4508261467214380e+06 1.4504564265456719e+06 1.4500362214849906e+06 1.4496657612809760e+06 1.4493964926782975e+06 1.4491475815904900e+06 1.4488252911699545e+06 1.4483944641460120e+06 1.4478465222004140e+06 1.4471638090967152e+06 1.4463217226411388e+06 1.4452928071402749e+06 1.4440466635050823e+06 1.4425474013760001e+06 1.4407518912497829e+06 1.4386093414172572e+06 1.4360605188250062e+06 1.4330363914152777e+06 1.4294569363975746e+06 1.4252283675559487e+06 1.4202257996278445e+06 1.4142348783670201e+06 1.4070047381300384e+06 1.3984154529574951e+06 1.3883615142917712e+06 1.3766632791776615e+06 1.3631009840073343e+06 1.3474347988309523e+06 1.3294114834744288e+06 1.3087705590516073e+06 1.2852529359132121e+06 1.2586127090375705e+06 1.2286326049626519e+06 1.1951428288058424e+06 1.1580433577427317e+06 1.1173283223364220e+06 1.0731108506532409e+06 1.0256451018004994e+06 9.7149669505421340e+05 9.1479377800641267e+05 8.5645614828769967e+05 7.9756325917146064e+05 7.3928550313129404e+05 6.8279438515795220e+05 6.2916383140449028e+05 5.7927890203433577e+05 5.3376878863574157e+05 4.9297264798537339e+05 4.5694729847895325e+05 4.2551624193094479e+05 3.9833618695139722e+05 3.7494558343303326e+05 3.5484530523562443e+05 3.3755620369772147e+05 3.2264032440115581e+05 3.0972365630776162e+05 2.9849290780720388e+05 2.8870159638322145e+05 2.8014335555945680e+05 2.7266216287525778e+05 2.6612123600102158e+05 2.6042239385590371e+05 2.5547188240977097e+05 2.5119214266226217e+05 2.4752259959032209e+05 2.4440099022609377e+05 2.4176674703895871e+05 2.3957481241176327e+05 2.3777041839030784e+05 2.3631134585636837e+05 2.3515008105818104e+05 2.3424430536149975e+05 2.3353753621394100e+05 2.3297537029228979e+05 2.3251552484025090e+05 2.3211878599028202e+05 2.3174809075722337e+05 2.3148697296221758e+05 2.3122369828859277e+05 2.3095522958127153e+05 2.3067409590612678e+05 2.3038409531460074e+05 2.3007705811189275e+05 2.2976241863583616e+05 2.2941340441737644e+05 2.2903987993413190e+05 2.2863497082440965e+05 2.2819330901083839e+05 2.2770837144677478e+05 2.2717280975508207e+05 2.2657624551795656e+05 2.2591908507777727e+05 2.2517764027573445e+05 2.2434634448950808e+05 2.2341313515107031e+05 2.2236503115034522e+05 2.2118864564661530e+05 2.1987055126525584e+05 2.1839607063377294e+05 2.1676644342733736e+05 2.1495422927016002e+05 2.1296519783138513e+05 2.1080395110429908e+05 2.0848744176936671e+05 2.0604451329101212e+05 2.0353006552965046e+05 2.0102595132244538e+05 1.9866527668960177e+05 1.9661723269361054e+05 1.9514488634017023e+05 1.9461541929779632e+05 1.9556195314791179e+05 1.9876078586829835e+05 2.0538827502724761e+05 2.1730673279828799e+05 2.3765285939216070e+05 2.2868548611423859e+04 +1.8114590273151254e+01 1.3942253679893410e+06 1.3940751914204902e+06 1.3938205983569827e+06 1.3934651166207569e+06 1.3930608387095095e+06 1.3927039989413463e+06 1.3924440068615689e+06 1.3922032537366145e+06 1.3918916573869223e+06 1.3914753666560659e+06 1.3909460491408380e+06 1.3902866560184122e+06 1.3894734484710435e+06 1.3884799311940237e+06 1.3872767613482261e+06 1.3858293011400017e+06 1.3840959262034516e+06 1.3820276169828319e+06 1.3795672087368655e+06 1.3766480843856987e+06 1.3731930263255944e+06 1.3691115455555683e+06 1.3642831647774375e+06 1.3585010941015680e+06 1.3515232728050770e+06 1.3432340591888644e+06 1.3335318524619564e+06 1.3222435637731880e+06 1.3091574646643829e+06 1.2940425833403401e+06 1.2766551639593502e+06 1.2567446608292479e+06 1.2340621055619593e+06 1.2083715292066261e+06 1.1794649012114303e+06 1.1471803336889269e+06 1.1114235824470127e+06 1.0721915201914445e+06 1.0295959975224092e+06 9.8388492311298929e+05 9.3175592878027319e+05 8.7718863221302873e+05 8.2107145118922181e+05 7.6444512715201871e+05 7.0843613936040585e+05 6.5417002427961084e+05 6.0267647986279137e+05 5.5480193332481117e+05 5.1114574267974409e+05 4.7202812688077334e+05 4.3749830520071706e+05 4.0738214582389384e+05 3.8134639692952635e+05 3.5894546698569448e+05 3.3969874281576549e+05 3.2314560462226963e+05 3.0886557211539935e+05 2.9649988937144168e+05 2.8574826835613261e+05 2.7637458037272067e+05 2.6818121893455653e+05 2.6101882413624076e+05 2.5475648385242239e+05 2.4930023874770966e+05 2.4456037172381289e+05 2.4046266326907193e+05 2.3694914315253895e+05 2.3396022618453731e+05 2.3143794232920010e+05 2.2933916251089372e+05 2.2761146357886415e+05 2.2621442241686297e+05 2.2510254890736847e+05 2.2423531962311256e+05 2.2355865023074893e+05 2.2302044968308625e+05 2.2258022441928234e+05 2.2220042369643407e+05 2.2184556268590674e+05 2.2159560119310117e+05 2.2134357580278572e+05 2.2108657866551125e+05 2.2081745785918602e+05 2.2053984905602617e+05 2.2024593243274066e+05 2.1994473514331941e+05 2.1961063434901970e+05 2.1925307059922625e+05 2.1886546326970117e+05 2.1844267365905840e+05 2.1797845744780669e+05 2.1746578025161987e+05 2.1689470792133419e+05 2.1626562545275246e+05 2.1555586243991641e+05 2.1476008773683474e+05 2.1386675420489634e+05 2.1286343541443709e+05 2.1173731654139256e+05 2.1047554396157322e+05 2.0906406823850016e+05 2.0750407224729256e+05 2.0576929349491460e+05 2.0386525281948675e+05 2.0179635557809510e+05 1.9957883007146831e+05 1.9724028729477411e+05 1.9483328125489387e+05 1.9243616795207546e+05 1.9017636230169918e+05 1.8821583079786101e+05 1.8680639754557487e+05 1.8629955532672946e+05 1.8720564420664773e+05 1.9026779148568257e+05 1.9661208964861973e+05 2.0802127582728537e+05 2.2749801504560752e+05 2.1813450313964564e+04 +1.8171219187208550e+01 1.3393701016775756e+06 1.3392257242739103e+06 1.3389810090918380e+06 1.3386392210306749e+06 1.3382502964579987e+06 1.3379065993869347e+06 1.3376555869797310e+06 1.3374227467243413e+06 1.3371215175563511e+06 1.3367193087981583e+06 1.3362080270603709e+06 1.3355712109977477e+06 1.3347859571711265e+06 1.3338266987487373e+06 1.3326651148934439e+06 1.3312677791610518e+06 1.3295945229630366e+06 1.3275980407434490e+06 1.3252231683273755e+06 1.3224056240953375e+06 1.3190709031801091e+06 1.3151317047008050e+06 1.3104718127654246e+06 1.3048917502933317e+06 1.2981579711270244e+06 1.2901589739024465e+06 1.2807969285435127e+06 1.2699050741956672e+06 1.2572794398178584e+06 1.2426976021952352e+06 1.2259249533983346e+06 1.2067205218373239e+06 1.1848450853969038e+06 1.1600722307498879e+06 1.1322027993547828e+06 1.1010824688840357e+06 1.0666224876698055e+06 1.0288222709988381e+06 9.8779231505992101e+05 9.4377436172851315e+05 8.9359320422425447e+05 8.4108495232608530e+05 7.8710760970187502e+05 7.3266448406594689e+05 6.7883967862849555e+05 6.2671446013142681e+05 5.7727602508336445e+05 5.3133377104433673e+05 4.8945856033764774e+05 4.5195263545670448e+05 4.1885815010498877e+05 3.9000346847361582e+05 3.6506517193199019e+05 3.4361314012543450e+05 3.2518463788657804e+05 3.0933689900209982e+05 2.9566625247904175e+05 2.8382860004673869e+05 2.7353613632042229e+05 2.6456266534403118e+05 2.5671897945333025e+05 2.4986210455874255e+05 2.4386675317158195e+05 2.3864301069003518e+05 2.3410502719238598e+05 2.3018178216658506e+05 2.2681780073804499e+05 2.2395606287168298e+05 2.2154108708827029e+05 2.1953159216386135e+05 2.1787740154410052e+05 2.1653981347382060e+05 2.1547527721661070e+05 2.1464499016667664e+05 2.1399716670084430e+05 2.1348193198212041e+05 2.1306050771363656e+05 2.1269693735849322e+05 2.1235724852315587e+05 2.1211797673590307e+05 2.1187673010068983e+05 2.1163072468909202e+05 2.1137311425813404e+05 2.1110737889819537e+05 2.1082603398314241e+05 2.1053771671982860e+05 2.1021790552693020e+05 2.0987563487919379e+05 2.0950460560482240e+05 2.0909989878302149e+05 2.0865553716243105e+05 2.0816478721808156e+05 2.0761814044525914e+05 2.0701596158689403e+05 2.0633655513817410e+05 2.0557481569893734e+05 2.0471969000089425e+05 2.0375928309234156e+05 2.0268132823936074e+05 2.0147352156842392e+05 2.0012241527372488e+05 1.9862913800037099e+05 1.9696855559617025e+05 1.9514595059388384e+05 1.9316553993794270e+05 1.9104285785033533e+05 1.8880433440964521e+05 1.8650027589413486e+05 1.8420568770053328e+05 1.8204253187156341e+05 1.8016585228156290e+05 1.7881670052295772e+05 1.7833153670825425e+05 1.7919887238729815e+05 1.8213005166775145e+05 1.8820300447689695e+05 1.9912422140647590e+05 2.1776793911426162e+05 2.0806421620937417e+04 +1.8227848101265845e+01 1.2866025702470855e+06 1.2864637677767766e+06 1.2862285668262520e+06 1.2858999668372746e+06 1.2855258290441090e+06 1.2851948095404468e+06 1.2849524878650527e+06 1.2847273223946101e+06 1.2844361431481910e+06 1.2840475743611909e+06 1.2835537562978384e+06 1.2829387956253984e+06 1.2821805971260965e+06 1.2812544913794312e+06 1.2801331463123995e+06 1.2787843069270402e+06 1.2771692124938527e+06 1.2752422150635752e+06 1.2729500852798512e+06 1.2702307998740568e+06 1.2670124770521419e+06 1.2632108982539785e+06 1.2587139669060151e+06 1.2533292748668923e+06 1.2468315089212779e+06 1.2391131685309261e+06 1.2300800617407360e+06 1.2195715367823746e+06 1.2073911111685005e+06 1.1933246106917684e+06 1.1771462499735428e+06 1.1586242844933693e+06 1.1375288763483369e+06 1.1136428009658873e+06 1.0867754147610040e+06 1.0567796331422632e+06 1.0235719234665493e+06 9.8715405473584007e+05 9.4763509933171596e+05 9.0525071904371865e+05 8.5694818490794080e+05 8.0642496580272855e+05 7.5450959235430812e+05 7.0216917978036380e+05 6.5044694400138105e+05 6.0038152327528305e+05 5.5291927677277371e+05 5.0883411333676492e+05 4.6866968117728253e+05 4.3271116269790981e+05 4.0099414930513973e+05 3.7334961578002461e+05 3.4946376909272029e+05 3.2892148406564351e+05 3.1127728765633609e+05 2.9610561442819453e+05 2.8301896147130919e+05 2.7168731282499689e+05 2.6183484472049086e+05 2.5324488926777372e+05 2.4573629079236553e+05 2.3917219537149611e+05 2.3343270452964306e+05 2.2843177857339973e+05 2.2408727193070235e+05 2.2033122833958711e+05 2.1711056331318014e+05 2.1437071395301691e+05 2.1205858284396230e+05 2.1013465920408550e+05 2.0855091887277138e+05 2.0727030982778946e+05 2.0625113987162674e+05 2.0545625582686020e+05 2.0483607528498521e+05 2.0434284743364502e+05 2.0393943827468660e+05 2.0359141933267226e+05 2.0326626759128060e+05 2.0303723792561644e+05 2.0280631869155096e+05 2.0257084471638934e+05 2.0232426264651457e+05 2.0206990350921560e+05 2.0180060380176042e+05 2.0152462730816880e+05 2.0121850731689893e+05 2.0089088934944873e+05 2.0053574389975250e+05 2.0014836262449602e+05 1.9972302415671176e+05 1.9925328323149457e+05 1.9873003912653265e+05 1.9815363737102548e+05 1.9750331626885623e+05 1.9677418682695687e+05 1.9595566896600500e+05 1.9503637695621737e+05 1.9400456920169375e+05 1.9284846855786775e+05 1.9155520361915082e+05 1.9012585125448252e+05 1.8853635814549241e+05 1.8679177860807406e+05 1.8489614906482943e+05 1.8286433872367555e+05 1.8072164619824034e+05 1.7851622416457068e+05 1.7631986769193521e+05 1.7424931446391411e+05 1.7245297539141064e+05 1.7116158076659954e+05 1.7069718750866491e+05 1.7152739281138527e+05 1.7433308852915917e+05 1.8014605887418339e+05 1.9059974075448094e+05 2.0844532077080314e+05 1.9845304681473641e+04 +1.8284477015323141e+01 1.2358466455981878e+06 1.2357131947831805e+06 1.2354871587404313e+06 1.2351712663310037e+06 1.2348113666707103e+06 1.2344925768473966e+06 1.2342586650152123e+06 1.2340409432258436e+06 1.2337595062019338e+06 1.2333841474564993e+06 1.2329072370720867e+06 1.2323134308889487e+06 1.2315814154598347e+06 1.2306873885817954e+06 1.2296049747098323e+06 1.2283030516279591e+06 1.2267442199808653e+06 1.2248844347320441e+06 1.2226723375508084e+06 1.2200480887559345e+06 1.2169423426737629e+06 1.2132738604732857e+06 1.2089345271740870e+06 1.2037387671654008e+06 1.1974692270696908e+06 1.1900222719608238e+06 1.1813072197360299e+06 1.1711693158118485e+06 1.1594193059962657e+06 1.1458509752366580e+06 1.1302470460848978e+06 1.1123846657471512e+06 1.0920430310079723e+06 1.0690137523114334e+06 1.0431143573660952e+06 1.0142046845986830e+06 9.8220615902041760e+05 9.4712272468260955e+05 9.0906196789470548e+05 8.6825355979695905e+05 8.2176272795183014e+05 7.7315301645103109e+05 7.2322439965049014e+05 6.7290900543023436e+05 6.2321060403667355e+05 5.7512679060118238e+05 5.2956469044748170e+05 4.8726420449719956e+05 4.4874299430199433e+05 4.1427005548918108e+05 3.8387489166225353e+05 3.5739118871984072e+05 3.3451457089957729e+05 3.1484444353658659e+05 2.9795199847637891e+05 2.8342824008834292e+05 2.7090121520200133e+05 2.6005443618585286e+05 2.5062357903959244e+05 2.4240111506650201e+05 2.3521360754599550e+05 2.2893006774070780e+05 2.2343576012040162e+05 2.1864835698319279e+05 2.1448926093618685e+05 2.1089345073285850e+05 2.0781013159531215e+05 2.0518709416998347e+05 2.0297352488072694e+05 2.0113160913228217e+05 1.9961538480054494e+05 1.9838938086360029e+05 1.9741368609817579e+05 1.9665272823956850e+05 1.9605903645576735e+05 1.9558689550113436e+05 1.9520074756294163e+05 1.9486762875055277e+05 1.9455640492508153e+05 1.9433718805929995e+05 1.9411616329148982e+05 1.9389077924765219e+05 1.9365476319513336e+05 1.9341130335200383e+05 1.9315354384030742e+05 1.9288939086155442e+05 1.9259638809297024e+05 1.9228280851931425e+05 1.9194288099535886e+05 1.9157209892733404e+05 1.9116498610497161e+05 1.9071537343965890e+05 1.9021455085861264e+05 1.8966284566515172e+05 1.8904039056990590e+05 1.8834250402343014e+05 1.8755905929813476e+05 1.8667915853801218e+05 1.8569156327006946e+05 1.8458500099671225e+05 1.8334715251243406e+05 1.8197904525612129e+05 1.8045766118651081e+05 1.7878783607517582e+05 1.7697343339040020e+05 1.7502868520509882e+05 1.7297780610194895e+05 1.7086688543938100e+05 1.6876464251202784e+05 1.6678280982505830e+05 1.6506344317250798e+05 1.6382738433948581e+05 1.6338289084226952e+05 1.6417752236677392e+05 1.6686299514025231e+05 1.7242688219652366e+05 1.8243262931955769e+05 1.9951353186460296e+05 1.8928036814212279e+04 +1.8341105929380436e+01 1.1870288213543342e+06 1.1869005414009914e+06 1.1866833151434145e+06 1.1863796354638280e+06 1.1860334713461194e+06 1.1857264721658367e+06 1.1855006912018654e+06 1.1852901880373464e+06 1.1850181942430881e+06 1.1846556276285362e+06 1.1841950846623799e+06 1.1836217523513078e+06 1.1829150732054659e+06 1.1820520829635230e+06 1.1810073313276470e+06 1.1797507913876504e+06 1.1782463800761118e+06 1.1764516022460868e+06 1.1743169086892763e+06 1.1717845708395860e+06 1.1687876948259426e+06 1.1652479220916051e+06 1.1610609857514775e+06 1.1560479135990457e+06 1.1499990472709062e+06 1.1428144864305200e+06 1.1344069347583398e+06 1.1246273297540387e+06 1.1132933936380190e+06 1.1002065901006267e+06 1.0851578454163205e+06 1.0679328745300586e+06 1.0483195715215058e+06 1.0261180408278700e+06 1.0011536507133393e+06 9.7329286054499750e+05 9.4246180326500512e+05 9.0866642904325074e+05 8.7201278257643990e+05 8.3272463620168634e+05 7.8798080987091467e+05 7.4121549213889590e+05 6.9320099394339090e+05 6.4483562571902189e+05 5.9708510773674608e+05 5.5090752313726128e+05 5.0717230824824504e+05 4.6658677886526298e+05 4.2964378532467969e+05 3.9659696859858878e+05 3.6747019164164917e+05 3.4209993888061104e+05 3.2019104317712149e+05 3.0135698697771272e+05 2.8518504800025560e+05 2.7128219066344609e+05 2.5929141532837908e+05 2.4890922934929459e+05 2.3988234514293654e+05 2.3201199955689142e+05 2.2513215506139590e+05 2.1911744338156926e+05 2.1385807505183460e+05 2.0927527808335729e+05 2.0529385348552794e+05 2.0185159109112795e+05 1.9889988927256296e+05 1.9638879287988934e+05 1.9426967605237561e+05 1.9250634915565909e+05 1.9105482543674202e+05 1.8988114892639764e+05 1.8894711495929424e+05 1.8821866643366014e+05 1.8765035616165510e+05 1.8719841959176926e+05 1.8682880972278825e+05 1.8650996633620109e+05 1.8621208612928874e+05 1.8600227028320765e+05 1.8579072473747184e+05 1.8557500716198524e+05 1.8534911367730628e+05 1.8511609568965642e+05 1.8486939200147407e+05 1.8461656641522420e+05 1.8433613034611035e+05 1.8403599998317281e+05 1.8371065169836202e+05 1.8335577218017317e+05 1.8296612008667283e+05 1.8253579091409268e+05 1.8205644880983405e+05 1.8152840378876828e+05 1.8093264518935894e+05 1.8026469030346113e+05 1.7951484672800673e+05 1.7867268400558920e+05 1.7772744567007292e+05 1.7666834269184136e+05 1.7548358485642384e+05 1.7417415241280038e+05 1.7271801891520803e+05 1.7111981086209830e+05 1.6938322602636079e+05 1.6752188608528889e+05 1.6555896708654714e+05 1.6353858166589995e+05 1.6152650239991082e+05 1.5962966682943056e+05 1.5798404213696116e+05 1.5680099670278875e+05 1.5637556775685033e+05 1.5713611849119299e+05 1.5970641396291991e+05 1.6503167151042726e+05 1.7460828320426634e+05 1.9095660113917448e+05 1.8052646399531121e+04 +1.8397734843437732e+01 1.1400781346828563e+06 1.1399548084682683e+06 1.1397460739912486e+06 1.1394541560007567e+06 1.1391212077619163e+06 1.1388255878207996e+06 1.1386076747811099e+06 1.1384041693863799e+06 1.1381413276760760e+06 1.1377911472518793e+06 1.1373464468581462e+06 1.1367929276130015e+06 1.1361107627787471e+06 1.1352777977203222e+06 1.1342694770393360e+06 1.1330568327772522e+06 1.1316050544464863e+06 1.1298731453813284e+06 1.1278133054452881e+06 1.1253698469393023e+06 1.1224782460531932e+06 1.1190629280856545e+06 1.1150233448835048e+06 1.1101869055857388e+06 1.1043513900959124e+06 1.0974205057231050e+06 1.0893102219322179e+06 1.0798769698217888e+06 1.0689452042678760e+06 1.0563237964621023e+06 1.0418115823122113e+06 1.0252025315019517e+06 1.0062929097805814e+06 9.8489098685205425e+05 9.6082965328653937e+05 9.3398169948994496e+05 9.0427772778978618e+05 8.7172553484789911e+05 8.3642957452753920e+05 7.9860781432101096e+05 7.5554845459960529e+05 7.1056075470391207e+05 6.6439023148882471e+05 6.1790251334736915e+05 5.7202662158691662e+05 5.2768260588178167e+05 4.8570370170136192e+05 4.4676600658960151e+05 4.1133868513489678e+05 3.7966081636810076e+05 3.5175104379066895e+05 3.2744872553504241e+05 3.0646769453701173e+05 2.8843506812405185e+05 2.7295364867034147e+05 2.5964577149041762e+05 2.4816881569305758e+05 2.3823177020114145e+05 2.2959193833197159e+05 2.2205896348716886e+05 2.1547390033740431e+05 2.0971676621176046e+05 2.0468250965774662e+05 2.0029576449799701e+05 1.9648458651227763e+05 1.9318945776254489e+05 1.9036387717283948e+05 1.8796004853744601e+05 1.8593144152520478e+05 1.8424342314725206e+05 1.8285389890475053e+05 1.8173036460757276e+05 1.8083625075763860e+05 1.8013895232507618e+05 1.7959496139495110e+05 1.7916238268053424e+05 1.7880861725398607e+05 1.7850345011890942e+05 1.7821835313027221e+05 1.7801754337088787e+05 1.7781507879421595e+05 1.7760862155199584e+05 1.7739242533190662e+05 1.7716941047977540e+05 1.7693329806549099e+05 1.7669132404537610e+05 1.7642292668104626e+05 1.7613568045506795e+05 1.7582429885823149e+05 1.7548465374033671e+05 1.7511172875981205e+05 1.7469987288116288e+05 1.7424110871602071e+05 1.7373572988170956e+05 1.7316554612392711e+05 1.7252626531949666e+05 1.7180861114217425e+05 1.7100260089485775e+05 1.7009793986776873e+05 1.6908430218506564e+05 1.6795040436631825e+05 1.6669718161181652e+05 1.6530355718746572e+05 1.6377395720643995e+05 1.6211192070719259e+05 1.6033048461743549e+05 1.5845183008324887e+05 1.5651817606984533e+05 1.5459247221227636e+05 1.5277706269269472e+05 1.5120208169122154e+05 1.5006982229550224e+05 1.4966265687031319e+05 1.5039055870968767e+05 1.5285051605392495e+05 1.5794717010291095e+05 1.6711267642707456e+05 1.8275918936448960e+05 1.7217248944340758e+04 +1.8454363757495027e+01 1.0949260523357645e+06 1.0948075102580932e+06 1.0946069245668731e+06 1.0943263333571255e+06 1.0940061254312668e+06 1.0937214801340441e+06 1.0935111744827281e+06 1.0933144529197160e+06 1.0930604795819919e+06 1.0927222911791578e+06 1.0922929236449152e+06 1.0917585760033994e+06 1.0911001276876677e+06 1.0902962063755807e+06 1.0893231220958740e+06 1.0881529305824328e+06 1.0867520515637884e+06 1.0850809370127521e+06 1.0830934776264066e+06 1.0807359584924532e+06 1.0779461466141588e+06 1.0746511576986706e+06 1.0707540369699514e+06 1.0660883597424144e+06 1.0604590953001985e+06 1.0537734356104971e+06 1.0459504998921870e+06 1.0368520207730673e+06 1.0263089499315724e+06 1.0141373037170722e+06 1.0001435433920944e+06 9.8412959104833251e+05 9.6589976986777212e+05 9.4527019798905973e+05 9.2208098209512967e+05 8.9621096546267695e+05 8.6759499199150747e+05 8.3624255408015661e+05 8.0225647149042215e+05 7.6584900265822932e+05 7.2441366370382439e+05 6.8113907202707347e+05 6.3674479661371221e+05 5.9206488552340958e+05 5.4799296861777827e+05 5.0541248960054340e+05 4.6512191637944884e+05 4.2776744121374172e+05 3.9379562040336180e+05 3.6343172606448323e+05 3.3668957879014942e+05 3.1341147421055828e+05 2.9332003724471031e+05 2.7605558894153923e+05 2.6123591249167008e+05 2.4849814495791806e+05 2.3751349014127618e+05 2.2800292435611851e+05 2.1973391349512018e+05 2.1252416264102163e+05 2.0622152395967321e+05 2.0071117501259205e+05 1.9589260279085551e+05 1.9169370315748951e+05 1.8804564892917394e+05 1.8489150043507744e+05 1.8218676835314059e+05 1.7988572408256220e+05 1.7794384441964125e+05 1.7632798749963331e+05 1.7499787136898545e+05 1.7392238291239936e+05 1.7306651931630474e+05 1.7239906708477886e+05 1.7187837662854826e+05 1.7146434380379165e+05 1.7112575755028025e+05 1.7083369201226716e+05 1.7056084079158545e+05 1.7036865836566815e+05 1.7017489282216321e+05 1.6997730641964462e+05 1.6977039958750803e+05 1.6955696712795796e+05 1.6933100047475033e+05 1.6909942168681396e+05 1.6884255666659374e+05 1.6856765265834934e+05 1.6826965029772397e+05 1.6794459880808741e+05 1.6758769738435835e+05 1.6719353779870775e+05 1.6675448601828326e+05 1.6627082010852819e+05 1.6572513549777248e+05 1.6511332272484168e+05 1.6442650403990070e+05 1.6365512567355388e+05 1.6278933524989887e+05 1.6181925056720639e+05 1.6073407353448842e+05 1.5953469634797634e+05 1.5820095183040088e+05 1.5673707422746115e+05 1.5514645051965426e+05 1.5344155747974370e+05 1.5164362319829289e+05 1.4979305261852150e+05 1.4795009114059925e+05 1.4621268292540865e+05 1.4470537429689075e+05 1.4362176484498548e+05 1.4323209473378764e+05 1.4392872090231083e+05 1.4628298100913237e+05 1.5116064675651630e+05 1.5993233899659882e+05 1.7490656535780293e+05 1.6420043312444373e+04 +1.8510992671552323e+01 1.0515064440610567e+06 1.0513925063621032e+06 1.0511997783471213e+06 1.0509300815023435e+06 1.0506221360956228e+06 1.0503480726177515e+06 1.0501451243714329e+06 1.0499549795020281e+06 1.0497095977030704e+06 1.0493830186086446e+06 1.0489684890996113e+06 1.0484526904783731e+06 1.0478171844617830e+06 1.0470413547137547e+06 1.0461023480771170e+06 1.0449732097751372e+06 1.0436215486972814e+06 1.0420092171425745e+06 1.0400917401670677e+06 1.0378173096685315e+06 1.0351259066503396e+06 1.0319472466732388e+06 1.0281878468790281e+06 1.0236872402915366e+06 1.0182573443327077e+06 1.0118087165115349e+06 1.0042635135975758e+06 9.9548858392345498e+05 9.8532114778273285e+05 9.7358411298533587e+05 9.6009129138554237e+05 9.4465226549061516e+05 9.2707911270512780e+05 9.0719549427835795e+05 8.8484843845359108e+05 8.5992257450910239e+05 8.3235677040622139e+05 8.0216207198673720e+05 7.6943962723952648e+05 7.3439608288892149e+05 6.9452634872246580e+05 6.5290255220751173e+05 6.1021913795685081e+05 5.6727964249646151e+05 5.2494356943766610e+05 4.8405913453165255e+05 4.4539141840023111e+05 4.0955796902833506e+05 3.7698376577607775e+05 3.4788099283130176e+05 3.2225902103233233e+05 2.9996313670737023e+05 2.8072454946334503e+05 2.6419636386948504e+05 2.5001081705328077e+05 2.3781929809317976e+05 2.2730630148088976e+05 2.1820431531971882e+05 2.1029055632046342e+05 2.0339045996787594e+05 1.9735839303561629e+05 1.9208447706408240e+05 1.8747254607168847e+05 1.8345362007830315e+05 1.7996185687048448e+05 1.7694278577528481e+05 1.7435384407933068e+05 1.7215128321091228e+05 1.7029250232374883e+05 1.6874578784190974e+05 1.6747259391946640e+05 1.6644314028110044e+05 1.6562392510740814e+05 1.6498506835367694e+05 1.6448670109676095e+05 1.6409043539354135e+05 1.6376639027870225e+05 1.6348687523042841e+05 1.6322575436728072e+05 1.6304183605888305e+05 1.6285640328251320e+05 1.6266731420636558e+05 1.6246930562071581e+05 1.6226505207339249e+05 1.6204880394934412e+05 1.6182718277792787e+05 1.6158136451718901e+05 1.6131828304190355e+05 1.6103309656835219e+05 1.6072202422514031e+05 1.6038047166871704e+05 1.6000326325487695e+05 1.5958309381918391e+05 1.5912022667867685e+05 1.5859800965460297e+05 1.5801250834636361e+05 1.5735522679784620e+05 1.5661702210656193e+05 1.5578846560590022e+05 1.5486010008642505e+05 1.5382159238089473e+05 1.5267379363438248e+05 1.5139740772879816e+05 1.4999648520693218e+05 1.4847426739339507e+05 1.4684269449175047e+05 1.4512208166629079e+05 1.4335109621890847e+05 1.4158739315268828e+05 1.3992470200471795e+05 1.3848221634137383e+05 1.3744520838059572e+05 1.3707229689674114e+05 1.3773896427701908e+05 1.3999197762571799e+05 1.4465987576745986e+05 1.5305433576880346e+05 1.6738458286162891e+05 1.5659308113736181e+04 +1.8567621585609619e+01 1.0097554828548989e+06 1.0096459668478562e+06 1.0094607818916771e+06 1.0092015831507831e+06 1.0089054495617355e+06 1.0086415908953330e+06 1.0084457592605057e+06 1.0082619891676820e+06 1.0080249285815336e+06 1.0077095871684627e+06 1.0073094154575481e+06 1.0068115616750905e+06 1.0061982467344136e+06 1.0054495848856678e+06 1.0045435320062038e+06 1.0034540896476298e+06 1.0021500160803088e+06 1.0005945170930633e+06 9.9874469735388597e+05 9.9655059164289560e+05 9.9395432051136019e+05 9.9088811163737357e+05 9.8726183641260664e+05 9.8292078361699881e+05 9.7768358502179256e+05 9.7146404830293800e+05 9.6418725931286265e+05 9.5572500231653964e+05 9.4592054548775067e+05 9.3460344278133090e+05 9.2159459111864993e+05 9.0671095144513587e+05 8.8977206285810238e+05 8.7060883551919821e+05 8.4907493591282715e+05 8.2506052333629923e+05 7.9850828218215611e+05 7.6943067751758092e+05 7.3792715313355869e+05 7.0419884270483919e+05 6.6583826558583556e+05 6.2580507978089352e+05 5.8476940672117332e+05 5.4350530805391935e+05 5.0283938518249535e+05 4.6358595594777662e+05 4.2647804271454137e+05 3.9210576013778790e+05 3.6087349770137033e+05 3.3298103620150278e+05 3.0843364767864352e+05 2.8707965251717775e+05 2.6865863882728154e+05 2.5283608533075088e+05 2.3925817275274763e+05 2.2759001130104825e+05 2.1752887154930815e+05 2.0881829571487097e+05 2.0124485553844183e+05 1.9464139871161839e+05 1.8886853509552986e+05 1.8382112272397088e+05 1.7940715905733244e+05 1.7556065604507815e+05 1.7221862981901292e+05 1.6932897394092599e+05 1.6685097066709900e+05 1.6474276749371280e+05 1.6296360464993733e+05 1.6148313659134216e+05 1.6026448028499595e+05 1.5927913243300750e+05 1.5849502920149657e+05 1.5788356827379347e+05 1.5740658689206152e+05 1.5702734142511300e+05 1.5671722556967972e+05 1.5644973251668192e+05 1.5619984776400670e+05 1.5602384527650720e+05 1.5584639404786145e+05 1.5566544412958165e+05 1.5547595871796229e+05 1.5528049717910803e+05 1.5507355790585166e+05 1.5486147470957675e+05 1.5462623757306414e+05 1.5437448029608495e+05 1.5410156950474143e+05 1.5380388707117064e+05 1.5347703641054782e+05 1.5311606465894045e+05 1.5271398163005878e+05 1.5227103665487040e+05 1.5177129803708495e+05 1.5121099914152367e+05 1.5058200971297594e+05 1.4987558039788407e+05 1.4908268837880180e+05 1.4819428352531992e+05 1.4720047796867651e+05 1.4610208366927592e+05 1.4488063866245878e+05 1.4354001761228967e+05 1.4208332232725577e+05 1.4052197905817640e+05 1.3887542852344521e+05 1.3718067362694320e+05 1.3549288813653475e+05 1.3390176474009475e+05 1.3252136969517326e+05 1.3152899892887473e+05 1.3117213965250694e+05 1.3181011102660812e+05 1.3396614525877603e+05 1.3843311768022337e+05 1.4646624606404119e+05 1.6017965825265553e+05 1.4933398245771956e+04 +1.8624250499666914e+01 9.6961154617884778e+05 9.6950628533823800e+05 9.6932837095555954e+05 9.6907927351030742e+05 9.6879450872790709e+05 9.6854048919112911e+05 9.6835153907502408e+05 9.6817394648251566e+05 9.6794494386561541e+05 9.6764047918629937e+05 9.6725419930539129e+05 9.6677370411371579e+05 9.6618185145443270e+05 9.6545946162089636e+05 9.6458527258068626e+05 9.6353421006574226e+05 9.6227614318299212e+05 9.6077558581170021e+05 9.5899116917398851e+05 9.5687470898592973e+05 9.5437039320271590e+05 9.5141287661820033e+05 9.4791527089456585e+05 9.4372842495112715e+05 9.3867745836597704e+05 9.3267931725737033e+05 9.2566191170367261e+05 9.1750178801522916e+05 9.0804804874043586e+05 8.9713665680228337e+05 8.8459533761839790e+05 8.7024815830307349e+05 8.5392183745522657e+05 8.3545425069984875e+05 8.1470543029649311e+05 7.9157082005173527e+05 7.6599672264622676e+05 7.3799689583969943e+05 7.0766905173674901e+05 6.7520891069397237e+05 6.3830295106068731e+05 5.9980225394105713e+05 5.6035339688330761e+05 5.2070197194178979e+05 4.8164286232951860e+05 4.4395777152205369e+05 4.0834894313198182e+05 3.7538022118925781e+05 3.4543634984891326e+05 3.1870535811915091e+05 2.9518874914696085e+05 2.7473791160305054e+05 2.5710060730568084e+05 2.4195429046359655e+05 2.2895859119205779e+05 2.1779182821889417e+05 2.0816355234885949e+05 1.9982791953807644e+05 1.9258047615470996e+05 1.8626117649978652e+05 1.8073661293167082e+05 1.7590618091856118e+05 1.7168186530206003e+05 1.6800054316749802e+05 1.6480196759180463e+05 1.6203629593624655e+05 1.5966457715511840e+05 1.5764677432029633e+05 1.5594389080464485e+05 1.5452689131390632e+05 1.5336048535009410e+05 1.5241739300941804e+05 1.5166692801187825e+05 1.5108171231124451e+05 1.5062521784976515e+05 1.5026227635300098e+05 1.4996550299333115e+05 1.4970952515382660e+05 1.4947040258612565e+05 1.4930198194837524e+05 1.4913217549466609e+05 1.4895902129922030e+05 1.4877769941902638e+05 1.4859065890036995e+05 1.4839263565380976e+05 1.4818968804933870e+05 1.4796458555648083e+05 1.4772367464305749e+05 1.4746252155112149e+05 1.4717766402927955e+05 1.4686489490693455e+05 1.4651947470052200e+05 1.4613471488359192e+05 1.4571085152591072e+05 1.4523264282457621e+05 1.4469648291175650e+05 1.4409459180204239e+05 1.4341859708455394e+05 1.4265986466640673e+05 1.4180973431884192e+05 1.4085874465610279e+05 1.3980767023620274e+05 1.3863884786974214e+05 1.3735598384090376e+05 1.3596204632862957e+05 1.3446796931728980e+05 1.3289235597726065e+05 1.3127061504387669e+05 1.2965554372297424e+05 1.2813296830894341e+05 1.2681204393388800e+05 1.2586242686883760e+05 1.2552094244082729e+05 1.2613142864508055e+05 1.2819457584853230e+05 1.3246910071530752e+05 1.4015614401755427e+05 1.5327874905179621e+05 1.4240741581496179e+04 +1.8680879413724210e+01 9.3101518558563525e+05 9.3091403008266399e+05 9.3074311402783496e+05 9.3050371559185814e+05 9.3022990535925678e+05 9.2998537180103385e+05 9.2980307485857734e+05 9.2963146881249070e+05 9.2941026865856710e+05 9.2911633004101494e+05 9.2874348985511868e+05 9.2827978445878858e+05 9.2770868716148171e+05 9.2701170052510360e+05 9.2616831848150457e+05 9.2515435979684209e+05 9.2394076706749678e+05 9.2249331825795688e+05 9.2077211973472021e+05 9.1873070813287375e+05 9.1631526890485443e+05 9.1346280162738357e+05 9.1008954783301731e+05 9.0605172713026928e+05 9.0118072740462341e+05 8.9539652504694182e+05 8.8862975300873688e+05 8.8076155146379373e+05 8.7164665085264924e+05 8.6112719378577173e+05 8.4903748628634831e+05 8.3520843877284147e+05 8.1947367716108309e+05 8.0167776948933897e+05 7.8168685178879718e+05 7.5940141695224040e+05 7.3477119690233876e+05 7.0781112288651743e+05 6.7861715245320427e+05 6.4737969323173875e+05 6.1187566116939916e+05 5.7485132870138378e+05 5.3693048731532693e+05 4.9883123414362193e+05 4.6131787932183617e+05 4.2514075044678693e+05 3.9097254403020133e+05 3.5935194971686759e+05 3.3064497006224608e+05 3.0502850242105761e+05 2.8250059098888683e+05 2.6291571849209495e+05 2.4602961731340855e+05 2.3153132904233600e+05 2.1909345469864286e+05 2.0840702665171766e+05 1.9919339821769769e+05 1.9121691541151720e+05 1.8428173364887323e+05 1.7823462036647409e+05 1.7294790034127110e+05 1.6832531551628996e+05 1.6428266928059197e+05 1.6075958228055318e+05 1.5769842815614378e+05 1.5505153178636599e+05 1.5278163378462262e+05 1.5085043563846155e+05 1.4922062914752311e+05 1.4786443386494360e+05 1.4674808444613384e+05 1.4584547298729172e+05 1.4512723280535307e+05 1.4456715884358410e+05 1.4413028919548864e+05 1.4378296480516664e+05 1.4349897129451841e+05 1.4325402273533464e+05 1.4302520793723842e+05 1.4286404893175251e+05 1.4270156435110123e+05 1.4253587658927866e+05 1.4236237341067099e+05 1.4218339820520917e+05 1.4199391434292219e+05 1.4179971651708637e+05 1.4158432057729739e+05 1.4135379787444542e+05 1.4110390583436549e+05 1.4083133149812932e+05 1.4053204910883668e+05 1.4020152354945638e+05 1.3983335518650277e+05 1.3942776751567275e+05 1.3897017930872255e+05 1.3845713875012397e+05 1.3788120132945338e+05 1.3723435565639634e+05 1.3650833994277031e+05 1.3569486739205651e+05 1.3478488506224233e+05 1.3377913181125387e+05 1.3266070931323615e+05 1.3143316265829030e+05 1.3009933204009221e+05 1.2866967996986832e+05 1.2716200744737513e+05 1.2561019637721528e+05 1.2406476776583414e+05 1.2260784494241085e+05 1.2134387920146128e+05 1.2043520992356828e+05 1.2010845088582388e+05 1.2069261288434957e+05 1.2266679659799974e+05 1.2675700286971779e+05 1.3411257964034245e+05 1.4666933321230448e+05 1.3579835797152453e+04 +1.8737508327781505e+01 8.9390903840097284e+05 8.9381182773121481e+05 8.9364762128792750e+05 8.9341758449696470e+05 8.9315431602873281e+05 8.9291892229190632e+05 8.9274306304610684e+05 8.9257725723381015e+05 8.9236361175832502e+05 8.9207985849944479e+05 8.9172001924466260e+05 8.9127255183539435e+05 8.9072152429708152e+05 8.9004909840167151e+05 8.8923549871059880e+05 8.8825740686923743e+05 8.8708680277095677e+05 8.8569068581847358e+05 8.8403058771716419e+05 8.8206170787946542e+05 8.7973216152427369e+05 8.7698121327388450e+05 8.7372812761387392e+05 8.6983431137815875e+05 8.6513720812257414e+05 8.5955971978556958e+05 8.5303510423778999e+05 8.4544893287832011e+05 8.3666136437136168e+05 8.2652049939037499e+05 8.1486698509216425e+05 8.0153832144545123e+05 7.8637477917873929e+05 7.6922735574265255e+05 7.4996803903271037e+05 7.2850214531559788e+05 7.0478265542799374e+05 6.7882556188603991e+05 6.5072504913264106e+05 6.2066631331067753e+05 5.8651331153461046e+05 5.5091115495374100e+05 5.1446158576056518e+05 4.7785615097436559e+05 4.4182969495470315e+05 4.0710236425036978e+05 3.7431849370054732e+05 3.4399269005057804e+05 3.1647307880801038e+05 2.9192601573929581e+05 2.7034637710869894e+05 2.5159175764211497e+05 2.3542565902896627e+05 2.2154833254322619e+05 2.0964488694223890e+05 1.9941859055019202e+05 1.9060213900283645e+05 1.8296966079863056e+05 1.7633356910033044e+05 1.7054716267528993e+05 1.6548825874581319e+05 1.6106476255385799e+05 1.5719613414479388e+05 1.5382462116304183e+05 1.5089510624622944e+05 1.4836198949811904e+05 1.4618963125679400e+05 1.4434139746221321e+05 1.4278159671162779e+05 1.4148365028565825e+05 1.4041525339317234e+05 1.3955142083853649e+05 1.3886404995539715e+05 1.3832805948757823e+05 1.3790998793047149e+05 1.3757762201550871e+05 1.3730586886237134e+05 1.3707148366656143e+05 1.3685254095422514e+05 1.3669833656784586e+05 1.3654286427453798e+05 1.3638432723741562e+05 1.3621831215214575e+05 1.3604706122287724e+05 1.3586575563720439e+05 1.3567993768429387e+05 1.3547383786250526e+05 1.3525326411217681e+05 1.3501415695918212e+05 1.3475334642426428e+05 1.3446698049332842e+05 1.3415071977484206e+05 1.3379844128776793e+05 1.3341035660703905e+05 1.3297251697799834e+05 1.3248161819634991e+05 1.3193053704102218e+05 1.3131160787708769e+05 1.3061692547850669e+05 1.2983856069094707e+05 1.2896785172184932e+05 1.2800550335495407e+05 1.2693534962373480e+05 1.2576078130963467e+05 1.2448451603267869e+05 1.2311656476665553e+05 1.2167396025933702e+05 1.2018912214489676e+05 1.1871039145536200e+05 1.1731634523723023e+05 1.1610692969461001e+05 1.1523747676841762e+05 1.1492482044881953e+05 1.1548377132582806e+05 1.1737275327669023e+05 1.2128643466335499e+05 1.2832456056549236e+05 1.4033938915661207e+05 1.2949245334637120e+04 +1.8794137241838801e+01 8.5823774235031649e+05 8.5814432790816471e+05 8.5798659380683093e+05 8.5776554873625841e+05 8.5751243024365057e+05 8.5728585332385683e+05 8.5711621673096786e+05 8.5695602879861731e+05 8.5674969776248967e+05 8.5647579894786223e+05 8.5612853481404088e+05 8.5569677012162283e+05 8.5516514750023873e+05 8.5451646555501327e+05 8.5373165492056822e+05 8.5278823091650615e+05 8.5165917567583709e+05 8.5031266870587994e+05 8.4871161881516548e+05 8.4681283186499041e+05 8.4456628723413765e+05 8.4191343736893160e+05 8.3877646617932036e+05 8.3502179008136387e+05 8.3049270233107102e+05 8.2511492904256424e+05 8.1882425835294055e+05 8.1151053562171990e+05 8.0303915467406833e+05 7.9326396005809412e+05 7.8203170874696563e+05 7.6918624533184955e+05 7.5457423221646808e+05 7.3805284297031292e+05 7.1949967518832115e+05 6.9882465214161668e+05 6.7598383161597443e+05 6.5099416181939107e+05 6.2394803958978737e+05 5.9502555127464666e+05 5.6217441959737870e+05 5.2794212436994922e+05 4.9290907461635349e+05 4.5774118293467764e+05 4.2314489847045136e+05 3.8981133927058906e+05 3.5835761928222707e+05 3.2927529074316245e+05 3.0289542906674056e+05 2.7937440977319411e+05 2.5870421428506199e+05 2.4074556004167383e+05 2.2526951888096728e+05 2.1198718432068150e+05 2.0059572460770427e+05 1.9081018299929152e+05 1.8237415419984609e+05 1.7507115715071032e+05 1.6872152521523630e+05 1.6318481791341249e+05 1.5834411465604146e+05 1.5411130828769793e+05 1.5040936028672429e+05 1.4718303354466395e+05 1.4437961275686239e+05 1.4195548478695267e+05 1.3987656074345059e+05 1.3810780012470850e+05 1.3661505966018591e+05 1.3537291143010333e+05 1.3435044926680403e+05 1.3352376341040563e+05 1.3286596191354137e+05 1.3235304014021225e+05 1.3195297392902401e+05 1.3163493496558638e+05 1.3137490490966692e+05 1.3115063637619937e+05 1.3094114804819398e+05 1.3079360394333758e+05 1.3064484713490897e+05 1.3049315815002623e+05 1.3033431420211801e+05 1.3017046059467507e+05 1.2999698709071166e+05 1.2981919437662308e+05 1.2962199718612438e+05 1.2941095126912884e+05 1.2918217250098359e+05 1.2893262783051922e+05 1.2865863163193133e+05 1.2835603195489023e+05 1.2801897073785966e+05 1.2764764825416659e+05 1.2722872129128971e+05 1.2675902707669236e+05 1.2623175007946209e+05 1.2563955578497529e+05 1.2497488043706439e+05 1.2423013738521156e+05 1.2339703940735573e+05 1.2247625876630427e+05 1.2145233070061430e+05 1.2032849828093137e+05 1.1910736174179388e+05 1.1779849963191024e+05 1.1641820896542924e+05 1.1499750900027028e+05 1.1358265304625205e+05 1.1224882207506424e+05 1.1109164774774117e+05 1.1025975123475245e+05 1.0996060067466203e+05 1.1049540755185744e+05 1.1230279413186548e+05 1.1604742251461737e+05 1.2278153445822350e+05 1.3427737653942377e+05 1.2347598492780624e+04 +1.8850766155896096e+01 8.2394791334883799e+05 8.2385814348414075e+05 8.2370663748212927e+05 8.2349424393701111e+05 8.2325089969176962e+05 8.2303282291631133e+05 8.2286919780564832e+05 8.2271445054211130e+05 8.2251520114929846e+05 8.2225083551315218e+05 8.2191573331451241e+05 8.2149915218100219e+05 8.2098628984347533e+05 8.2036056004831754e+05 8.1960357567977021e+05 8.1869365746961208e+05 8.1760475582362374e+05 8.1630619031168183e+05 8.1476220011881460e+05 8.1293114300210134e+05 8.1076479895129416e+05 8.0820673347065214e+05 8.0518194964740821e+05 8.0156170149919111e+05 7.9719493249617517e+05 7.9201009481293405e+05 7.8594541539286519e+05 7.7889486150935886e+05 7.7072887550377869e+05 7.6130683881134156e+05 7.5048139481138205e+05 7.3810249633163982e+05 7.2402295337972033e+05 7.0810587173001224e+05 6.9023422590715333e+05 6.7032233880495315e+05 6.4832918120832462e+05 6.2427255776805582e+05 5.9824306699343724e+05 5.7041578740457038e+05 5.3881904866015527e+05 5.0590611509683158e+05 4.7223675847823016e+05 4.3845214428201754e+05 4.0523136131943442e+05 3.7323761072820745e+05 3.4306188323480042e+05 3.1517366346856212e+05 2.8988776762684074e+05 2.6735112489209126e+05 2.4755307795059765e+05 2.3035747100179159e+05 2.1554274916655992e+05 2.0283049085736094e+05 1.9192949008977925e+05 1.8256612018386644e+05 1.7449444802952386e+05 1.6750700595462532e+05 1.6143172322157043e+05 1.5613416032805169e+05 1.5150243795603904e+05 1.4745226804313285e+05 1.4390996468015833e+05 1.4082269887697071e+05 1.3814005488552304e+05 1.3582032154001019e+05 1.3383089462501390e+05 1.3213825924945794e+05 1.3070975445454817e+05 1.2952105429710903e+05 1.2854259186507684e+05 1.2775148750221824e+05 1.2712200887305952e+05 1.2663118271182943e+05 1.2624836172465383e+05 1.2594404421432370e+05 1.2569524133721292e+05 1.2548066121239307e+05 1.2528022682865686e+05 1.2513906083521871e+05 1.2499673497995920e+05 1.2485160388920998e+05 1.2469962722716565e+05 1.2454285750537347e+05 1.2437688420345109e+05 1.2420677675255253e+05 1.2401810497602426e+05 1.2381618318423058e+05 1.2359729517311619e+05 1.2335853901749365e+05 1.2309638843007179e+05 1.2280687095946142e+05 1.2248438221664634e+05 1.2212911176189408e+05 1.2172829611424953e+05 1.2127890800603638e+05 1.2077442655935739e+05 1.2020783434979261e+05 1.1957189462255893e+05 1.1885934871877088e+05 1.1806226809483411e+05 1.1718129397528183e+05 1.1620163294605259e+05 1.1512638668863292e+05 1.1395804302569956e+05 1.1270576640265784e+05 1.1138514927418658e+05 1.1002586985703601e+05 1.0867218217855186e+05 1.0739601512713580e+05 1.0628886849727872e+05 1.0549293708957227e+05 1.0520672001291427e+05 1.0571840589198784e+05 1.0744765438626263e+05 1.1103039272034926e+05 1.1747337206660207e+05 1.2847221771169551e+05 1.1773584642257747e+04 +1.8907395069953392e+01 7.9098803888034774e+05 7.9090178127670067e+05 7.9075625599349639e+05 7.9055219291024562e+05 7.9031825371350395e+05 7.9010837127874186e+05 7.8995055302360235e+05 7.8980107595932332e+05 7.8960868234709790e+05 7.8935353810233169e+05 7.8903019701404136e+05 7.8862829599421006e+05 7.8813356896934111e+05 7.8753002385248395e+05 7.8679993264832883e+05 7.8592239414514217e+05 7.8487229413421603e+05 7.8362005344517808e+05 7.8213119639870082e+05 7.8036557980484841e+05 7.7827672272339021e+05 7.7581023132667830e+05 7.7289383083544474e+05 7.6940344638125715e+05 7.6519347846491390e+05 7.6019501037128479e+05 7.5434861948964547e+05 7.4755224802020530e+05 7.3968120639879489e+05 7.3060021294141468e+05 7.2016758168736426e+05 7.0823914558866364e+05 6.9467362694775220e+05 6.7933982889526279e+05 6.6212587917394424e+05 6.4295030156562105e+05 6.2177482358478126e+05 5.9861801309735619e+05 5.7356866307994875e+05 5.4679694630235736e+05 5.1640875371027284e+05 4.8476643919962773e+05 4.5240981338404643e+05 4.1995615426084131e+05 3.8805819052721572e+05 3.5735227835815371e+05 3.2840434130459174e+05 3.0166274334550853e+05 2.7742679773385637e+05 2.5583449502470708e+05 2.3687277919148366e+05 2.2040861910154924e+05 2.0622763875978455e+05 1.9406155405135735e+05 1.8363036517623567e+05 1.7467134629642128e+05 1.6694862541916469e+05 1.6026338565074225e+05 1.5445084060550822e+05 1.4938230237662650e+05 1.4495072097731358e+05 1.4107546583313894e+05 1.3768606097576625e+05 1.3473198284186411e+05 1.3216501699995328e+05 1.2994527299239401e+05 1.2804156793176223e+05 1.2642184741693387e+05 1.2505486971103614e+05 1.2391736404426978e+05 1.2298104585318209e+05 1.2222402211490112e+05 1.2162167110348136e+05 1.2115200752641045e+05 1.2078570296228821e+05 1.2049452639117475e+05 1.2025647526218550e+05 1.2005117299949571e+05 1.1985940868882535e+05 1.1972435031607184e+05 1.1958818266036098e+05 1.1944933131657321e+05 1.1930393066766764e+05 1.1915394437084594e+05 1.1899515313080867e+05 1.1883240503854846e+05 1.1865189707375450e+05 1.1845871241165308e+05 1.1824929564626834e+05 1.1802087041657795e+05 1.1777006301592980e+05 1.1749307287846574e+05 1.1718453850750304e+05 1.1684463930880422e+05 1.1646116679860087e+05 1.1603122352910521e+05 1.1554857077798115e+05 1.1500649476199994e+05 1.1439807185820563e+05 1.1371635748768634e+05 1.1295376655204597e+05 1.1211091065403339e+05 1.1117363911235832e+05 1.1014491827599092e+05 1.0902712832356240e+05 1.0782903716132352e+05 1.0656556256698373e+05 1.0526509859556517e+05 1.0396998477110660e+05 1.0274903592502579e+05 1.0168979510661376e+05 1.0092830337085786e+05 1.0065447119288484e+05 1.0114401672708739e+05 1.0279844130171691e+05 1.0622615602192099e+05 1.1239035089183423e+05 1.2291327986197667e+05 1.1225951559036448e+04 +1.8964023984010687e+01 7.5930843551681505e+05 7.5922555243161751e+05 7.5908578383399919e+05 7.5888972444167233e+05 7.5866484656829701e+05 7.5846286260886060e+05 7.5831065569800243e+05 7.5816628311400849e+05 7.5798052572074777e+05 7.5773430037099414e+05 7.5742233165882993e+05 7.5703462263902882e+05 7.5655742508931144e+05 7.5597532085495815e+05 7.5527121860052552e+05 7.5442496869959147e+05 7.5341236047619279e+05 7.5220487844441028e+05 7.5076928824777144e+05 7.4906689457315148e+05 7.4705289596196602e+05 7.4467486917923414e+05 7.4186316763721651e+05 7.3849822643182706e+05 7.3443971604256344e+05 7.2962125898561452e+05 7.2398569773884350e+05 7.1743480735153635e+05 7.0984859196303703e+05 7.0109691354022513e+05 6.9104354845431505e+05 6.7954998967917042e+05 6.6648064498208964e+05 6.5170978875126562e+05 6.3513048697077425e+05 6.1666527389467077e+05 5.9627848485546815e+05 5.7398936342780921e+05 5.4988489314068272e+05 5.2413044303362153e+05 4.9490652896831295e+05 4.6448779180100316e+05 4.3339473772907461e+05 4.0222158995446895e+05 3.7159568363591103e+05 3.4212756355013751e+05 3.1435910193806892e+05 2.8871845064545039e+05 2.6549014305526158e+05 2.4480371379527563e+05 2.2664393292463708e+05 2.1088088625017885e+05 1.9730718488134554e+05 1.8566434450826017e+05 1.7568316568639997e+05 1.6711140935949533e+05 1.5972286885894163e+05 1.5332702939261601e+05 1.4776608965973798e+05 1.4291687396406723e+05 1.3867695833774796e+05 1.3496921472307714e+05 1.3172624032425715e+05 1.2889971857281223e+05 1.2644354220439556e+05 1.2431956359246020e+05 1.2249796046483128e+05 1.2094807650201482e+05 1.1964002872095426e+05 1.1855155666126183e+05 1.1765560356197618e+05 1.1693122135173634e+05 1.1635485193212035e+05 1.1590545636646805e+05 1.1555496949383309e+05 1.1527637733209478e+05 1.1504862218581526e+05 1.1485220423505013e+05 1.1466874202929641e+05 1.1453953199573177e+05 1.1440926109012672e+05 1.1427642287501835e+05 1.1413731903886091e+05 1.1399382815955969e+05 1.1384191402887128e+05 1.1368621289553281e+05 1.1351352212806804e+05 1.1332870364007501e+05 1.1312835599652422e+05 1.1290982306993924e+05 1.1266987725594170e+05 1.1240488257649040e+05 1.1210971009497426e+05 1.1178452959238351e+05 1.1141766388079835e+05 1.1100633987967689e+05 1.1054458904270407e+05 1.1002598833618141e+05 1.0944391397422494e+05 1.0879172212313725e+05 1.0806215652882862e+05 1.0725580052478838e+05 1.0635911874090556e+05 1.0537494799654635e+05 1.0430556539625242e+05 1.0315935914286750e+05 1.0195060098206419e+05 1.0070645532838792e+05 9.9467428469034334e+04 9.8299353479522018e+04 9.7285984532933784e+04 9.6557470260942646e+04 9.6295497135219062e+04 9.6763842332905173e+04 9.8346619790539742e+04 1.0162589273682803e+05 1.0752313945730224e+05 1.1759035781223007e+05 1.0703502871475503e+04 +1.9020652898067983e+01 7.2886118923257373e+05 7.2878154694925365e+05 7.2864731555248378e+05 7.2845895964196336e+05 7.2824279902459146e+05 7.2804842697904236e+05 7.2790164456387248e+05 7.2776221402331442e+05 7.2758287937024422e+05 7.2734527956579044e+05 7.2704430626645475e+05 7.2667031609242479e+05 7.2621006079543801e+05 7.2564867668494908e+05 7.2496968727093609e+05 7.2415366888714687e+05 7.2317728355806414e+05 7.2201304309394129e+05 7.2062891203505720e+05 7.1898759339371196e+05 7.1704590750017716e+05 7.1475333387848956e+05 7.1204276321049279e+05 7.0879898459329118e+05 7.0488675738470128e+05 7.0024215444109100e+05 6.9481020088102645e+05 6.8849636728198687e+05 6.8118518295213161e+05 6.7275146683774178e+05 6.6306425650899112e+05 6.5199049260463112e+05 6.3940004972838995e+05 6.2517245587644249e+05 6.0920550872142310e+05 5.9142557056955621e+05 5.7179944270808401e+05 5.5034696235924447e+05 5.2715330273750867e+05 5.0237913097985950e+05 4.7427675712363975e+05 4.4503620187519823e+05 4.1515930478768691e+05 3.8521804070408101e+05 3.5581528516092157e+05 3.2753676795301697e+05 3.0090128709988709e+05 2.7631765383647464e+05 2.5405631291592959e+05 2.3423880186391875e+05 2.1684792721931782e+05 2.0175687882905258e+05 1.8876506588770499e+05 1.7762347580304058e+05 1.6807331703417702e+05 1.5987243792917972e+05 1.5280391610347366e+05 1.4668520361925787e+05 1.4136519681628951e+05 1.3672600243958563e+05 1.3266962751906071e+05 1.2912229791410979e+05 1.2601955290136654e+05 1.2331518856536434e+05 1.2096511458372902e+05 1.1893285153298511e+05 1.1718987957241348e+05 1.1570688066041234e+05 1.1445527261376513e+05 1.1341376227952250e+05 1.1255646841854496e+05 1.1186334794696714e+05 1.1131186135084617e+05 1.1088187614170279e+05 1.1054653709374263e+05 1.1027999583341336e+05 1.1006209978033531e+05 1.0987418890421772e+05 1.0969867609757792e+05 1.0957506587990231e+05 1.0945044112434427e+05 1.0932336048320809e+05 1.0919028584590639e+05 1.0905301432868319e+05 1.0890768501065583e+05 1.0875873139728142e+05 1.0859352559672206e+05 1.0841671772125966e+05 1.0822505376328637e+05 1.0801599271894178e+05 1.0778644687680666e+05 1.0753293785206960e+05 1.0725055936524342e+05 1.0693947207571263e+05 1.0658850738043881e+05 1.0619501133665757e+05 1.0575327409181597e+05 1.0525715100499531e+05 1.0470030538444345e+05 1.0407638136011858e+05 1.0337843752789572e+05 1.0260703024433092e+05 1.0174921317312992e+05 1.0080769916341202e+05 9.9784666625956088e+04 9.8688140197165514e+04 9.7531773046927221e+04 9.6341552208245688e+04 9.5156228626411335e+04 9.4038780426996978e+04 9.3069333816572398e+04 9.2372395478597638e+04 9.2121777381358843e+04 9.2569823242695580e+04 9.4083998555899190e+04 9.7221138436597044e+04 1.0286278215537425e+05 1.1249365744616203e+05 1.0205095616375072e+04 +1.9077281812125278e+01 6.9960008123898308e+05 6.9952357470002887e+05 6.9939465753036074e+05 6.9921371460193710e+05 6.9900594134091097e+05 6.9881890231883584e+05 6.9867736255354842e+05 6.9854271601908421e+05 6.9836959671627032e+05 6.9814033814376232e+05 6.9784999469904741e+05 6.9748926479623374e+05 6.9704538265184534e+05 6.9650402031457738e+05 6.9584929496934277e+05 6.9506248410141747e+05 6.9412109259047103e+05 6.9299862431711215e+05 6.9166420163906494e+05 6.9008187791334535e+05 6.8821003941422328e+05 6.8600000276991480e+05 6.8338710793984961e+05 6.8026034709445818e+05 6.7648939315781591e+05 6.7201268333039142e+05 6.6677734574373357e+05 6.6069241380055039e+05 6.5364677911322820e+05 6.4552003730006400e+05 6.3618629295493208e+05 6.2551772953271272e+05 6.1338947776423488e+05 5.9968610976787785e+05 5.8430995646802732e+05 5.6719103349321813e+05 5.4829847297271038e+05 5.2765262888613716e+05 5.0533686610249523e+05 4.8150725135028723e+05 4.5448516020521143e+05 4.2637898464382946e+05 3.9767251680740074e+05 3.6891626405609387e+05 3.4068954452521261e+05 3.1355423350168171e+05 2.8800699445035920e+05 2.6443813392734673e+05 2.4310466876691979e+05 2.2412057543617071e+05 2.0746689371904207e+05 1.9301989987639940e+05 1.8058561505053862e+05 1.6992417967956365e+05 1.6078683068261130e+05 1.5294111865080806e+05 1.4617903868950720e+05 1.4032568741345732e+05 1.3523638273837892e+05 1.3079829332806250e+05 1.2691767015744180e+05 1.2352395052215084e+05 1.2055549011356028e+05 1.1796810725201946e+05 1.1571964209945455e+05 1.1377521192464911e+05 1.1210754356195829e+05 1.1068859994124442e+05 1.0949104413964208e+05 1.0849450909586828e+05 1.0767423898714119e+05 1.0701105740095497e+05 1.0648340022732112e+05 1.0607200315876558e+05 1.0575116977637849e+05 1.0549616800659768e+05 1.0528771227308903e+05 1.0510794688973260e+05 1.0494004542416729e+05 1.0482179682302703e+05 1.0470257802862997e+05 1.0458101002478981e+05 1.0445370809128006e+05 1.0432239135024788e+05 1.0418336669384236e+05 1.0404087359998566e+05 1.0388283433930318e+05 1.0371369628780030e+05 1.0353034659334447e+05 1.0333035447804055e+05 1.0311076617231594e+05 1.0286825418021923e+05 1.0259812538922469e+05 1.0230053181448687e+05 1.0196479167683271e+05 1.0158836515672880e+05 1.0116579008975931e+05 1.0069118838472846e+05 1.0015849823048487e+05 9.9561639469923946e+04 9.8893972137437260e+04 9.8156026845763088e+04 9.7335421114108191e+04 9.6434749146388203e+04 9.5456094858263445e+04 9.4407134786414579e+04 9.3300929839923367e+04 9.2162339758386137e+04 9.1028434804291930e+04 8.9959459686946764e+04 8.9032066876255514e+04 8.8365361173238533e+04 8.8125615022590981e+04 8.8554225113471373e+04 9.0002716742607285e+04 9.3003770153197038e+04 9.8400684652989352e+04 1.0761377974794590e+05 9.7296378994699680e+03 +1.9133910726182574e+01 6.7148057122143591e+05 6.7140705894266930e+05 6.7128326463145332e+05 6.7110944759873953e+05 6.7090974946079508e+05 6.7072977640757069e+05 6.7059330051663704e+05 6.7046328537666390e+05 6.7029617988090019e+05 6.7007498707339366e+05 6.6979491898784344e+05 6.6944700496388704e+05 6.6901894451324374e+05 6.6849692738921742e+05 6.6786564392816566e+05 6.6710704874218395e+05 6.6619946068084263e+05 6.6511734160235478e+05 6.6383093190423388e+05 6.6230558884207334e+05 6.6050121057848714e+05 6.5837088730925496e+05 6.5585232312469627e+05 6.5283856722962006e+05 6.4920403642328444e+05 6.4488944906780624e+05 6.3984395941404579e+05 6.3398003545688349e+05 6.2719077375022531e+05 6.1936037243885221e+05 6.1036781571039429e+05 6.0009033224401844e+05 5.8840810584944068e+05 5.7521055116083403e+05 5.6040434173921053e+05 5.4392297919641389e+05 5.2573779785463668e+05 5.0586959647443827e+05 4.8439993617706036e+05 4.6148038431669871e+05 4.3549875204299839e+05 4.0848469553549594e+05 3.8090456062469725e+05 3.5328814318539272e+05 3.2619207542363805e+05 3.0015530381637189e+05 2.7565326084108348e+05 2.5305855006405371e+05 2.3261539184661879e+05 2.1443061589925102e+05 1.9848367913311449e+05 1.8465392228369522e+05 1.7275379529066983e+05 1.6255228215731855e+05 1.5381028146114349e+05 1.4630467463849892e+05 1.3983602124374185e+05 1.3423675261883589e+05 1.2936834314367922e+05 1.2512281177125587e+05 1.2141047402308088e+05 1.1816384202834015e+05 1.1532396745825310e+05 1.1284860422047533e+05 1.1069744011767300e+05 1.0883712059103887e+05 1.0724156572254606e+05 1.0588396450470151e+05 1.0473817205143496e+05 1.0378470789154412e+05 1.0299989359997489e+05 1.0236538270246882e+05 1.0186054509919458e+05 1.0146694797302134e+05 1.0116000469154687e+05 1.0091605220933774e+05 1.0071663540791500e+05 1.0054466895947310e+05 1.0038405483284223e+05 1.0027093955605652e+05 1.0015689652487893e+05 1.0004060641023067e+05 9.9918831355080823e+04 9.9793215810773167e+04 9.9660227319480604e+04 9.9523919680563922e+04 9.9372741778826050e+04 9.9210946938794732e+04 9.9035557452894485e+04 9.8844248075460360e+04 9.8634193275089870e+04 9.8402210019042628e+04 9.8143809267525517e+04 9.7859134844361615e+04 9.7537970944946777e+04 9.7177887063752438e+04 9.6773658177426711e+04 9.6319661393432543e+04 9.5810098075810893e+04 9.5239152039625216e+04 9.4600471904872698e+04 9.3894563718271616e+04 9.3109584729272916e+04 9.2248015597622594e+04 9.1311849767991385e+04 9.0308430500402988e+04 8.9250251663782707e+04 8.8161093708637229e+04 8.7076417769272011e+04 8.6053851612614351e+04 8.5166721791677701e+04 8.4528961302511467e+04 8.4299624112781486e+04 8.4709626077049732e+04 8.6095231081559978e+04 8.8965993093718716e+04 9.4128599835911591e+04 1.0294170543110149e+05 9.2760866560348895e+03 +1.9190539640239869e+01 6.4445967978447722e+05 6.4438905622467550e+05 6.4427017635448358e+05 6.4410321871238819e+05 6.4391129083604563e+05 6.4373812924368668e+05 6.4360654399856750e+05 6.4348101254016871e+05 6.4331972479130817e+05 6.4310633078285493e+05 6.4283619434329378e+05 6.4250066558017617e+05 6.4208789254064183e+05 6.4158456525214622e+05 6.4097592733956699e+05 6.4024458727566688e+05 6.3936964991719963e+05 6.3832650211381575e+05 6.3708646379254037e+05 6.3561615114367171e+05 6.3387692191128817e+05 6.3182357836803817e+05 6.2939610635774897e+05 6.2649147082466504e+05 6.2298866821179085e+05 6.1883061759401404e+05 6.1396842508836021e+05 6.0831786939018394e+05 6.0177609996228677e+05 5.9423174930114322e+05 5.8556850028684177e+05 5.7566843625158607e+05 5.6441659844230523e+05 5.5170705000674899e+05 5.3745062406273407e+05 5.2158414797516679e+05 5.0408103579248185e+05 4.8496246374679141e+05 4.6430819624284678e+05 4.4226540171854070e+05 4.1728579228117579e+05 3.9132308565994957e+05 3.6482676476164855e+05 3.3830664576038672e+05 3.1229751657761581e+05 2.8731628694318450e+05 2.6381802708818624e+05 2.4215840634551528e+05 2.2256945199466971e+05 2.0515124055272844e+05 1.8988181776002242e+05 1.7664356296470715e+05 1.6525517483599490e+05 1.5549418051339756e+05 1.4713078571679455e+05 1.3995084465007932e+05 1.3376314155256844e+05 1.2840714469053295e+05 1.2375023033624285e+05 1.1968906465350225e+05 1.1613785566584097e+05 1.1303205937758947e+05 1.1031530801930955e+05 1.0794720805240817e+05 1.0588921554552298e+05 1.0410943846259812e+05 1.0258293894050122e+05 1.0128407942463941e+05 1.0018785606440064e+05 9.9275637123186694e+04 9.8524775556931345e+04 9.7917719615837981e+04 9.7434733532134298e+04 9.7058180800838352e+04 9.6764537580393589e+04 9.6531164535890595e+04 9.6340401963451077e+04 9.6175902309229947e+04 9.6022265006922476e+04 9.5914064268726332e+04 9.5804976389313044e+04 9.5693739192361900e+04 9.5577255428063203e+04 9.5457098061910510e+04 9.5329888422315649e+04 9.5199502626949747e+04 9.5054893613186054e+04 9.4900128974656691e+04 9.4732360387861423e+04 9.4549363640966651e+04 9.4348435974383945e+04 9.4126532661091260e+04 9.3879360019117594e+04 9.3607054110469238e+04 9.3299845130308910e+04 9.2955407275930280e+04 9.2568742556588812e+04 9.2134472400609258e+04 9.1647050129253228e+04 9.1100912277806521e+04 9.0489983735045040e+04 8.9814747106199764e+04 8.9063876256382719e+04 8.8239743187514847e+04 8.7344254729222084e+04 8.6384435071191372e+04 8.5372235212377636e+04 8.4330402318885244e+04 8.3292856972554539e+04 8.2314721617132745e+04 8.1466138557822022e+04 8.0856089478770693e+04 8.0636717546869695e+04 8.1028904559841030e+04 8.2354303510258324e+04 8.5100327849072710e+04 9.0038614275030530e+04 9.8468780136701680e+04 8.8434455074433517e+03 +1.9247168554297165e+01 6.1849599370048684e+05 6.1842814642803872e+05 6.1831399839585356e+05 6.1815363012342982e+05 6.1796917868217011e+05 6.1780258175223623e+05 6.1767572043982532e+05 6.1755452839403774e+05 6.1739886785023066e+05 6.1719301375423372e+05 6.1693247581259301e+05 6.1660891505076620e+05 6.1621091185886343e+05 6.1572563961692329e+05 6.1513887604599295e+05 6.1443386094278190e+05 6.1359045810199226e+05 6.1258494745645253e+05 6.1138969117970217e+05 6.0997252087798121e+05 6.0829620326253434e+05 6.0631719318403816e+05 6.0397767854633636e+05 6.0117840334494272e+05 5.9780278473818896e+05 5.9379586471164529e+05 5.8911062956481741e+05 5.8366604899792175e+05 5.7736317852056329e+05 5.7009492258886748e+05 5.6174948819284094e+05 5.5221362954156380e+05 5.4137705683144194e+05 5.2913829505899001e+05 5.1541216108516743e+05 5.0013865462159127e+05 4.8329315289905033e+05 4.6489714673893194e+05 4.4502861310673313e+05 4.2383042130080459e+05 3.9981574189170130e+05 3.7486505875677901e+05 3.4941155795672181e+05 3.2394578419743705e+05 2.9898149383345753e+05 2.7501441938190843e+05 2.5248010398146111e+05 2.3171801981488187e+05 2.1294857758400842e+05 1.9626547439375115e+05 1.8164550500902047e+05 1.6897405797015972e+05 1.5807590377148346e+05 1.4873682111142753e+05 1.4073598026991132e+05 1.3386786303092778e+05 1.2794915136767991e+05 1.2282606425269695e+05 1.1837163542119467e+05 1.1448698338910996e+05 1.1109004370322442e+05 1.0811909070390218e+05 1.0552022657224025e+05 1.0325483076114609e+05 1.0128605155695842e+05 9.9583396550493228e+04 9.8123020884566708e+04 9.6880410054108695e+04 9.5831652374990765e+04 9.4958928568120798e+04 9.4240578875170220e+04 9.3659812515473604e+04 9.3197750021224027e+04 9.2837517474437060e+04 9.2556608771189873e+04 9.2333364846498138e+04 9.2150887809913460e+04 9.1993536642859064e+04 9.1846578591630212e+04 9.1743082727341782e+04 9.1638738586543332e+04 9.1532338715947015e+04 9.1420920478289248e+04 9.1305988404633958e+04 9.1184311033283564e+04 9.1059594459184926e+04 9.0921274057488947e+04 9.0773239661876112e+04 9.0612766812511371e+04 9.0437728020841649e+04 9.0245538060731269e+04 9.0033284609883369e+04 8.9796860993219016e+04 8.9536395918973052e+04 8.9242546445688815e+04 8.8913087051801936e+04 8.8543237092624797e+04 8.8127851892878694e+04 8.7661625980758443e+04 8.7139237829039470e+04 8.6554876792853276e+04 8.5909003109886806e+04 8.5190785115162449e+04 8.4402490833119882e+04 8.3545944173920449e+04 8.2627863870480127e+04 8.1659681214036857e+04 8.0663154173604576e+04 7.9670728494719500e+04 7.8735128260118930e+04 7.7923447294058366e+04 7.7339927265828461e+04 7.7130095390201168e+04 7.7505227555218866e+04 7.8772989253229520e+04 8.1399598076523864e+04 8.6123135193852635e+04 9.4186700181505483e+04 8.4307627096880115e+03 +1.9303797468354460e+01 5.9354958172936074e+05 5.9348440391812392e+05 5.9337480106272327e+05 5.9322077508576436e+05 5.9304351932925265e+05 5.9288324023842847e+05 5.9276094538152509e+05 5.9264395203448844e+05 5.9249373410233925e+05 5.9229516875452618e+05 5.9204390652988188e+05 5.9173190946852113e+05 5.9134817482740735e+05 5.9088034285321482e+05 5.9031470683888171e+05 5.8963511607610947e+05 5.8882216709488234e+05 5.8785300204531336e+05 5.8670098926305887e+05 5.8533513364814292e+05 5.8371956191200542e+05 5.8181232391794364e+05 5.7955773254078347e+05 5.7686017860922974e+05 5.7360734621852892e+05 5.6974632503489230e+05 5.6523191233471513e+05 5.5998615320421068e+05 5.5391386734013690e+05 5.4691207436986046e+05 5.3887333692954225e+05 5.2968890289639693e+05 5.1925296984344890e+05 5.0746834503457131e+05 4.9425366025362624e+05 4.7955194071172085e+05 4.6334041594379704e+05 4.4564083267943969e+05 4.2652939179336774e+05 4.0614476243871532e+05 3.8305922015148035e+05 3.5908262957265688e+05 3.3463242909246002e+05 3.1018057727076305e+05 2.8622058356786094e+05 2.6322783137064421e+05 2.4161913949111363e+05 2.2171848959048543e+05 2.0373522653152337e+05 1.8775702292441088e+05 1.7375957188551666e+05 1.6163123851323131e+05 1.5120269145073637e+05 1.4226767804660747e+05 1.3461400214693099e+05 1.2804444039881109e+05 1.2238325792340150e+05 1.1748314934079706e+05 1.1322257117895871e+05 1.0950690734943493e+05 1.0625766272944080e+05 1.0341580965972596e+05 1.0092981428209358e+05 9.8762752807898039e+04 9.6879392885794179e+04 9.5250581478439228e+04 9.3853519743221972e+04 9.2664767936734686e+04 9.1661459718188882e+04 9.0826553503977295e+04 9.0139334569270912e+04 8.9583740747031930e+04 8.9141712417860006e+04 8.8797105919077352e+04 8.8528389697086372e+04 8.8314843316354352e+04 8.8140298484495128e+04 8.7989790770776002e+04 8.7849226813830115e+04 8.7750234909995925e+04 8.7650431919538489e+04 8.7548662783841326e+04 8.7442093732990397e+04 8.7332163788123915e+04 8.7215782395844595e+04 8.7096492964181962e+04 8.6964192598530994e+04 8.6822601008987127e+04 8.6669112309382355e+04 8.6501691603404848e+04 8.6317866179032906e+04 8.6114850463706622e+04 8.5888716788173930e+04 8.5639586893818341e+04 8.5358526370008723e+04 8.5043405737625711e+04 8.4689652415391611e+04 8.4292345635145262e+04 8.3846410830799810e+04 8.3346758079610823e+04 8.2787829894296490e+04 8.2170065170150294e+04 8.1483105496475691e+04 8.0729119402842320e+04 7.9909851421003550e+04 7.9031727872380536e+04 7.8105682536229549e+04 7.7152526430831524e+04 7.6203293439587986e+04 7.5308411777432731e+04 7.4532056891945977e+04 7.3973932912355682e+04 7.3773233642039500e+04 7.4132039332540866e+04 7.5344625346763482e+04 7.7856918641669428e+04 8.2374877922951840e+04 9.0087498837004357e+04 8.0371291900298329e+03 +1.9360426382411756e+01 5.6958194936404261e+05 5.6951933918753883e+05 5.6941410642323107e+05 5.6926618096178654e+05 5.6909584907050838e+05 5.6894165552280180e+05 5.6882377244239999e+05 5.6871084085319762e+05 5.6856588693513186e+05 5.6837436668008612e+05 5.6813206752351834e+05 5.6783124244920001e+05 5.6746129087862384e+05 5.6701030383824045e+05 5.6646507232173649e+05 5.6581003398725018e+05 5.6502649272205937e+05 5.6409242304716178e+05 5.6298216453271545e+05 5.6166585461435874e+05 5.6010893263590289e+05 5.5827098777702241e+05 5.5609838332928508e+05 5.5349902907057549e+05 5.5036472725420562e+05 5.4664454249134846e+05 5.4229501623453607e+05 5.3724115727926535e+05 5.3139141250469640e+05 5.2464676534154615e+05 5.1690397153047263e+05 5.0805860176211636e+05 4.9800916609066597e+05 4.8666258130072337e+05 4.7394113201369339e+05 4.5979072839892487e+05 4.4419034683195356e+05 4.2716193525537802e+05 4.0877993170529621e+05 3.8917890331058460e+05 3.6698796304062870e+05 3.4394888363030681e+05 3.2046388847437652e+05 2.9698701303324394e+05 2.7399227735825587e+05 2.5193551338499767e+05 2.3121558713502189e+05 2.1214166710007560e+05 1.9491255835481308e+05 1.7961024594687868e+05 1.6620946041050399e+05 1.5460150787413964e+05 1.4462278474165933e+05 1.3607473258198923e+05 1.2875346906515057e+05 1.2246974504624645e+05 1.1705510613954191e+05 1.1236845830375193e+05 1.0829345557658459e+05 1.0473956790548406e+05 1.0163171782251063e+05 9.8913460329238587e+04 9.6535523969980524e+04 9.4462608676853401e+04 9.2661031667244664e+04 9.1102921554928180e+04 8.9766480493255411e+04 8.8629297242727480e+04 8.7669505945259836e+04 8.6870809403871724e+04 8.6213397443493363e+04 8.5681905498648746e+04 8.5259058862895326e+04 8.4929413135756855e+04 8.4672369916922893e+04 8.4468107488021415e+04 8.4301156268749954e+04 8.4157199708930144e+04 8.4022756601982954e+04 8.3928076140554491e+04 8.3832620178514888e+04 8.3735283820123412e+04 8.3633356657838856e+04 8.3528215004637153e+04 8.3416903178593770e+04 8.3302808925363337e+04 8.3176271244672113e+04 8.3040847037176893e+04 8.2894043921681790e+04 8.2733915636105026e+04 8.2558097172472873e+04 8.2363924289902308e+04 8.2147640658481425e+04 8.1909361419752982e+04 8.1640543133527375e+04 8.1339148298269647e+04 8.1000803502005161e+04 8.0620802311929277e+04 8.0194291196613762e+04 7.9716401937116883e+04 7.9181819367989912e+04 7.8590962021098225e+04 7.7933924415680216e+04 7.7212779879625086e+04 7.6429196959577675e+04 7.5589322065659260e+04 7.4703612733029848e+04 7.3791973510012685e+04 7.2884086760968974e+04 7.2028183039484516e+04 7.1285644087746317e+04 7.0751830505899532e+04 7.0559873419185300e+04 7.0903050568146034e+04 7.2062819591353182e+04 7.4465684203067809e+04 7.8786853821413344e+04 8.6163533120567285e+04 7.6616766680972642e+03 +1.9417055296469051e+01 5.4655600507454656e+05 5.4649586214949202e+05 5.4639483298216213e+05 5.4625276576693379e+05 5.4608909616764297e+05 5.4594076950782398e+05 5.4582714466980309e+05 5.4571814241162932e+05 5.4557827938929957e+05 5.4539356794309267e+05 5.4515992905020947e+05 5.4486989649705670e+05 5.4451325788495457e+05 5.4407853933960455e+05 5.4355301231568563e+05 5.4292168238352961e+05 5.4216653621779382e+05 5.4126635184545640e+05 5.4019640627628402e+05 5.3892793003993819e+05 5.3742762929590885e+05 5.3565657866639947e+05 5.3356311975532223e+05 5.3105855761688459e+05 5.2803866873490135e+05 5.2445442235003866e+05 5.2026403961562883e+05 5.1539538518367399e+05 5.0976040080644574e+05 5.0326388760553731e+05 4.9580663761140121e+05 4.8728837961745920e+05 4.7761176771491568e+05 4.6668766205364629e+05 4.5444184449763736e+05 4.4082297568202956e+05 4.2581167854408670e+05 4.0943005132075172e+05 3.9175078420728911e+05 3.7290443947541690e+05 3.5157478301755711e+05 3.2943793834307475e+05 3.0688143042265566e+05 2.8434201300766302e+05 2.6227494787872105e+05 2.4111728380958526e+05 2.2125067546750040e+05 2.0297012738074310e+05 1.8646440723812775e+05 1.7181013231271625e+05 1.5898119993957484e+05 1.4787181915699953e+05 1.3832394707477203e+05 1.3014645334579123e+05 1.2314346064096114e+05 1.1713338503466808e+05 1.1195476148781032e+05 1.0747245334263107e+05 1.0357509589423210e+05 1.0017607306651442e+05 9.7203579630553621e+04 9.4603642704867016e+04 9.2329155930708584e+04 9.0346372988535382e+04 8.8623093808995065e+04 8.7132673365660070e+04 8.5854271682583494e+04 8.4766461713236597e+04 8.3848335103868740e+04 8.3084307129813256e+04 8.2455433378402740e+04 8.1947017162990174e+04 8.1542535209281472e+04 8.1227212671239409e+04 8.0981344621823082e+04 8.0785969807057219e+04 8.0626287749254247e+04 8.0488602260877742e+04 8.0360018187222449e+04 8.0269464704272716e+04 8.0178169770586494e+04 8.0085076514671513e+04 7.9987592616130802e+04 7.9887034364812949e+04 7.9780575165973074e+04 7.9671453830844839e+04 7.9550432251636492e+04 7.9420911526214011e+04 7.9280507921574186e+04 7.9127360017155544e+04 7.8959205900615285e+04 7.8773497470909831e+04 7.8566642392882728e+04 7.8338749556511786e+04 7.8081649670496656e+04 7.7793393314930101e+04 7.7469797724616496e+04 7.7106361630971194e+04 7.6698443079206088e+04 7.6241386067707688e+04 7.5730107371184684e+04 7.5165006092622076e+04 7.4536610212189436e+04 7.3846901967567130e+04 7.3097477171575520e+04 7.2294214300066713e+04 7.1447115022194819e+04 7.0575216203576594e+04 6.9706906508112021e+04 6.8888312922616096e+04 6.8178142943296771e+04 6.7667599532672961e+04 6.7484010544000848e+04 6.7812227882623469e+04 6.8921439918572520e+04 7.1219558223946588e+04 7.5352358651635048e+04 8.2407471081532247e+04 7.3035758579044304e+03 +1.9473684210526347e+01 5.2443598833545623e+05 5.2437822080800589e+05 5.2428122398310312e+05 5.2414479863886611e+05 5.2398753446631879e+05 5.2384486247253796e+05 5.2373534782835055e+05 5.2363014726812346e+05 5.2349520703570725e+05 5.2331707533501339e+05 5.2309180342240050e+05 5.2281219585654128e+05 5.2246841501626518e+05 5.2204940689015569e+05 5.2154290674459463e+05 5.2093446827446780e+05 5.2020673715570424e+05 5.1933926700289501e+05 5.1830823957068461e+05 5.1708594032242801e+05 5.1564029792329314e+05 5.1393382032535691e+05 5.1191675772577076e+05 5.0950369086217921e+05 5.0659423122963117e+05 5.0314118473190768e+05 4.9910438999725744e+05 4.9441446338467795e+05 4.8898671376133722e+05 4.8272961891202372e+05 4.7554785588442686e+05 4.6734515280404134e+05 4.5802814558475994e+05 4.4751147794567666e+05 4.3572427964359708e+05 4.2261783310162672e+05 4.0817431249353808e+05 3.9241591901002673e+05 3.7541361160105420e+05 3.5729404381445132e+05 3.3679353013614577e+05 3.1552490544140153e+05 2.9386149713750900e+05 2.7222339761251141e+05 2.5104781598357786e+05 2.3075375775311951e+05 2.1170637865549335e+05 1.9418714141152787e+05 1.7837525607616117e+05 1.6434227559475036e+05 1.5206138435321543e+05 1.4142965386781766e+05 1.3229443826961544e+05 1.2447177726499284e+05 1.1777350029937130e+05 1.1202539095587407e+05 1.0707269349729056e+05 1.0278598466508406e+05 9.9058673444743297e+04 9.5807892693422051e+04 9.2964970016082807e+04 9.0478298707774360e+04 8.8302844281327678e+04 8.6406347134376818e+04 8.4758025872336017e+04 8.3332408868803745e+04 8.2109572708255160e+04 8.1069032093497837e+04 8.0190795002660772e+04 7.9459958606517976e+04 7.8858407094481881e+04 7.8372083173269915e+04 7.7985182916809776e+04 7.7683572557345295e+04 7.7448402611253201e+04 7.7261535627061574e+04 7.7108811845237433e+04 7.6977129065754896e+04 7.6854153171000027e+04 7.6767549928396489e+04 7.6680237813805157e+04 7.6591205930505443e+04 7.6497974991065523e+04 7.6401803834350634e+04 7.6299989411669201e+04 7.6195628042498662e+04 7.6079886310238697e+04 7.5956016221368525e+04 7.5821738037416231e+04 7.5675271545751151e+04 7.5514453514144887e+04 7.5336847007107121e+04 7.5139016648034158e+04 7.4921065405194880e+04 7.4675182024696885e+04 7.4399501432963007e+04 7.4090023346266069e+04 7.3742442873181906e+04 7.3352320573734469e+04 7.2915203574524377e+04 7.2426230644271462e+04 7.1885782349258589e+04 7.1284801481742848e+04 7.0625183126233693e+04 6.9908453476890383e+04 6.9140234550801732e+04 6.8330091675664895e+04 6.7496231196502587e+04 6.6665803474589164e+04 6.5882922079802549e+04 6.5203734722159454e+04 6.4715464829256234e+04 6.4539885523478537e+04 6.4853783771318107e+04 6.5914604156457208e+04 6.8112462396712741e+04 7.2064961389721546e+04 7.8812279563740827e+04 6.9620347473996071e+03 +1.9530313124583643e+01 5.0318744457239361e+05 5.0313196201549022e+05 5.0303884441561857e+05 5.0290783882006363e+05 5.0275673715148895e+05 5.0261951138294162e+05 5.0251396516922477e+05 5.0241244284285343e+05 5.0228226227807725e+05 5.0211048831493017e+05 5.0189329930283414e+05 5.0162376081661892e+05 5.0129239705492166e+05 5.0088855911429418e+05 5.0040042997861491e+05 4.9981409233384748e+05 4.9911282783050981e+05 4.9827693866957817e+05 4.9728347972700192e+05 4.9610575447787781e+05 4.9471287124857289e+05 4.9306872091789875e+05 4.9112539486538689e+05 4.8880063388007361e+05 4.8599774982129614e+05 4.8267131956075208e+05 4.7878273915991042e+05 4.7426527611555811e+05 4.6903748306205275e+05 4.6301137833979668e+05 4.5609537810464104e+05 4.4819705678240093e+05 4.3922687591380626e+05 4.2910310912283161e+05 4.1775809072337067e+05 4.0514560182921751e+05 3.9124927726154769e+05 3.7609137721321202e+05 3.5974114744131471e+05 3.4232142780204536e+05 3.2261905446091125e+05 3.0218585466622992e+05 2.8138144379967364e+05 2.6060985278267215e+05 2.4029091894299316e+05 2.2082631696276416e+05 2.0256538810449219e+05 1.8577664944416162e+05 1.7063021146118012e+05 1.5719285065097309e+05 1.4543715008769024e+05 1.3526300128584093e+05 1.2652299511022077e+05 1.1904009121049655e+05 1.1263353785810643e+05 1.0713619933856043e+05 1.0239975987774903e+05 9.8300275232908200e+04 9.4735728865866258e+04 9.1626844265789681e+04 8.8907948238101075e+04 8.6529698732214893e+04 8.4449043822076506e+04 8.2635146412250309e+04 8.1058582446774497e+04 7.9695002974701376e+04 7.8525361572401394e+04 7.7530074038768886e+04 7.6690025243070791e+04 7.5990964957932578e+04 7.5415570375526353e+04 7.4950396297631320e+04 7.4580327401309798e+04 7.4291843705199193e+04 7.4066914720650122e+04 7.3888191664201993e+04 7.3742128286669482e+04 7.3616191095533111e+04 7.3498583040492027e+04 7.3415760710642571e+04 7.3332260678864652e+04 7.3247116059132240e+04 7.3157955754771639e+04 7.3065983617671271e+04 7.2968614837253277e+04 7.2868809410134825e+04 7.2758121178092886e+04 7.2639659483262600e+04 7.2511244124037083e+04 7.2371172614088195e+04 7.2217376170991178e+04 7.2047524259418962e+04 7.1858331720259826e+04 7.1649895913674860e+04 7.1414748191029212e+04 7.1151104244888964e+04 7.0855138450113605e+04 7.0522733873671255e+04 7.0149644908822040e+04 6.9731613102238975e+04 6.9263989688399437e+04 6.8747137548493309e+04 6.8172396424062012e+04 6.7541578016972810e+04 6.6856141887183840e+04 6.6121464587182156e+04 6.5346693808822070e+04 6.4549240980925599e+04 6.3755071236592332e+04 6.3006371095821727e+04 6.2356838145845839e+04 6.1889886912338778e+04 6.1721973905183710e+04 6.2022166913209912e+04 6.3036670180178939e+04 6.5138566464837932e+04 6.8918493456981654e+04 7.5371212428884639e+04 6.6362969522919493e+03 +1.9586942038640938e+01 4.8277717679259460e+05 4.8272388654021069e+05 4.8263449925812497e+05 4.8250869924225984e+05 4.8236353090633644e+05 4.8223154737032921e+05 4.8212983316032204e+05 4.8203186895178538e+05 4.8190629001922323e+05 4.8174065869952569e+05 4.8153127742269164e+05 4.8127146342637733e+05 4.8095209012275381e+05 4.8056289946686843e+05 4.8009250659127411e+05 4.7952750467499415e+05 4.7885178905657947e+05 4.7804638440935983e+05 4.7708918814472307e+05 4.7595448603915807e+05 4.7461252464495884e+05 4.7302852902743616e+05 4.7115636658262549e+05 4.6891682635320426e+05 4.6621679035038286e+05 4.6301254292764672e+05 4.5926697964253899e+05 4.5491592203676532e+05 4.4988104742839449e+05 4.4407778337000823e+05 4.3741814440351928e+05 4.2981340377163701e+05 4.2117769825582899e+05 4.1143278363323864e+05 4.0051406122949056e+05 3.8837769310741749e+05 3.7500868867316999e+05 3.6042932637973671e+05 3.4470715816457290e+05 3.2796130406114453e+05 3.0902716974523873e+05 2.8939777869604598e+05 2.6941950486771611e+05 2.4948089774726040e+05 2.2998507979202451e+05 2.1131708080651404e+05 1.9381108510253931e+05 1.7772323529811221e+05 1.6321497958420066e+05 1.5034859104966294e+05 1.3909615497819593e+05 1.2936033860094950e+05 1.2099881264534207e+05 1.1384121432714502e+05 1.0771393276421794e+05 1.0245663667665359e+05 9.7927191238611413e+04 9.4006906082693153e+04 9.0598147965561438e+04 8.7625079184922040e+04 8.5024897654683882e+04 8.2750428697063850e+04 8.0760517391867950e+04 7.9025687646752252e+04 7.7517813999558231e+04 7.6213621594113778e+04 7.5094903099864372e+04 7.4142936475900133e+04 7.3339445702710145e+04 7.2670805092382667e+04 7.2120450736852377e+04 7.1675523373989839e+04 7.1321566824423469e+04 7.1045648736181814e+04 7.0830522685723816e+04 7.0659594888585343e+04 7.0519906526546227e+04 7.0399468586606890e+04 7.0286998117809388e+04 7.0207794480955083e+04 7.0127942963254754e+04 7.0046518807614790e+04 6.9961254468605723e+04 6.9873301171924672e+04 6.9780187260643608e+04 6.9684742315361524e+04 6.9578890739179667e+04 6.9465605366038697e+04 6.9342801259861750e+04 6.9208850325619802e+04 6.9061774178090083e+04 6.8899344116125299e+04 6.8718418741433503e+04 6.8519090102941220e+04 6.8294217377561305e+04 6.8042093592121921e+04 6.7759060285453030e+04 6.7441180418050819e+04 6.7084393898970142e+04 6.6684628352387226e+04 6.6237438350877172e+04 6.5743169903606598e+04 6.5193542592683814e+04 6.4590288347734793e+04 6.3934802953543913e+04 6.3232228030734652e+04 6.2491311555731118e+04 6.1728704150260521e+04 6.0969236566830994e+04 6.0253251013649271e+04 5.9632100018763485e+04 5.9185552673128528e+04 5.9024976996916543e+04 5.9312052845533311e+04 6.0282226433612544e+04 6.2292278428963342e+04 6.5907038357424783e+04 7.2077799224164919e+04 6.3256401410360377e+03 +1.9643570952698234e+01 4.6317318913942296e+05 4.6312200486928812e+05 4.6303620721174887e+05 4.6291541180698515e+05 4.6277594801540783e+05 4.6264901282653859e+05 4.6255099876821175e+05 4.6245647512762825e+05 4.6233534469720704e+05 4.6217564772608195e+05 4.6197380768379994e+05 4.6172338458861766e+05 4.6141558879009931e+05 4.6104053935584053e+05 4.6058726849667775e+05 4.6004286200319591e+05 4.5939180734457582e+05 4.5861582640227588e+05 4.5769362955282634e+05 4.5660045032761543e+05 4.5530763344843086e+05 4.5378169103680592e+05 4.5197820350978553e+05 4.4982090009064879e+05 4.4722010703056841e+05 4.4413375481651415e+05 4.4052618260922102e+05 4.3633567225892999e+05 4.3148691081812774e+05 4.2589860831743822e+05 4.1948624197863968e+05 4.1216464173898869e+05 4.0385147484409768e+05 3.9447183717412048e+05 3.8396406509011524e+05 3.7228658900630713e+05 3.5942571117746795e+05 3.4540369060766610e+05 3.3028640598565928e+05 3.1418935017126374e+05 2.9599461833509139e+05 2.7713855926861998e+05 2.5795476153569142e+05 2.3881685393038092e+05 2.2011187775900765e+05 2.0220887828930822e+05 1.8542751444825495e+05 1.7001210158978653e+05 1.5611584301670868e+05 1.4379676732614083e+05 1.3302655788688050e+05 1.2371061179140872e+05 1.1571152618669735e+05 1.0886538102639315e+05 1.0300543795975832e+05 9.7977904058196451e+04 9.3646576382455882e+04 8.9897802198753532e+04 8.6638148099683371e+04 8.3795069592337546e+04 8.1308512926227457e+04 7.9133377584844129e+04 7.7230323700825902e+04 7.5571177276499235e+04 7.4129055184090656e+04 7.2881710136941401e+04 7.1811737600515480e+04 7.0901240404460652e+04 7.0132745453777607e+04 6.9493224717616904e+04 6.8966840520721351e+04 6.8541294471039277e+04 6.8202761305884749e+04 6.7938871235306084e+04 6.7733128427782896e+04 6.7569661834690298e+04 6.7436075072660242e+04 6.7320900389478396e+04 6.7213346926588492e+04 6.7137606579915824e+04 6.7061246881797488e+04 6.6983383401021478e+04 6.6901847698902653e+04 6.6817740636252565e+04 6.6728698839573844e+04 6.6637427129199641e+04 6.6536204478249158e+04 6.6427873108134736e+04 6.6310439256663914e+04 6.6182346025215826e+04 6.6041701542970433e+04 6.5886374569833861e+04 6.5713361282865299e+04 6.5522748701543969e+04 6.5307709673762292e+04 6.5066611271121183e+04 6.4795955017336870e+04 6.4491976039682821e+04 6.4150791795573925e+04 6.3768507994947584e+04 6.3340873804661518e+04 6.2868219138322514e+04 6.2342627032429846e+04 6.1765753101477712e+04 6.1138932094116506e+04 6.0467080788951353e+04 5.9758564614401723e+04 5.9029306060858115e+04 5.8303050210798006e+04 5.7618374219068435e+04 5.7024386205931107e+04 5.6597366423303392e+04 5.6443812937007839e+04 5.6718334990609197e+04 5.7646082809970794e+04 5.9568235122783459e+04 6.3024921707309441e+04 6.8925834277272137e+04 6.0293745279803643e+03 +1.9700199866755529e+01 4.4434465954263916e+05 4.4429550262787967e+05 4.4421314665196138e+05 4.4409716884900903e+05 4.4396319463991828e+05 4.4384111887879245e+05 4.4374667645594612e+05 4.4365547920406022e+05 4.4353864872678596e+05 4.4338468447001488e+05 4.4319012760353764e+05 4.4294877249771543e+05 4.4265215452697506e+05 4.4229075660186418e+05 4.4185401342434768e+05 4.4132948611269955e+05 4.4070223341637378e+05 4.3995464998754038e+05 4.3906623057852068e+05 4.3801312306662044e+05 4.3676773161674099e+05 4.3529780983768817e+05 4.3356059027894295e+05 4.3148263788189570e+05 4.2897760139650822e+05 4.2600499817025423e+05 4.2253055704310269e+05 4.1849492969675636e+05 4.1382570196573273e+05 4.0844474408459634e+05 4.0227086509824445e+05 3.9522231469991920e+05 3.8722015123374265e+05 3.7819267413027788e+05 3.6808102817123308e+05 3.5684580445896153e+05 3.4447452049095882e+05 3.3098938098414772e+05 3.1645461302915937e+05 3.0098217368799198e+05 2.8349903725816845e+05 2.6538693445993477e+05 2.4696711031642460e+05 2.2859881493780538e+05 2.1065361973971050e+05 1.9348522106679893e+05 1.7739935902908025e+05 1.6262904586244162e+05 1.4931963834594964e+05 1.3752516604433511e+05 1.2721699908763944e+05 1.1830321721516765e+05 1.1065119398232503e+05 1.0410322461748301e+05 9.8499184354520461e+04 9.3691562372911460e+04 8.9549848153636965e+04 8.5965218919192412e+04 8.2848265064915700e+04 8.0129595686125394e+04 7.7751787702852802e+04 7.5671725452142287e+04 7.3851805622636850e+04 7.2265099892167491e+04 7.0885913590563519e+04 6.9692982446830647e+04 6.8669669960835177e+04 6.7798868122003987e+04 6.7063872100571796e+04 6.6452225772660458e+04 6.5948786405573948e+04 6.5541792459885706e+04 6.5218022545101565e+04 6.4965645411805279e+04 6.4768883744813626e+04 6.4612558316947165e+04 6.4484811223273260e+04 6.4374673721689614e+04 6.4271825961427952e+04 6.4199400039883083e+04 6.4126382059551768e+04 6.4051926187408855e+04 6.3973958833934877e+04 6.3893532661543592e+04 6.3808387914855281e+04 6.3721110069150236e+04 6.3624317353267397e+04 6.3520727021548446e+04 6.3408432566375268e+04 6.3285945225058509e+04 6.3151455922151959e+04 6.3002926688796986e+04 6.2837485353076307e+04 6.2655214172259934e+04 6.2449586109849181e+04 6.2219039129974764e+04 6.1960227863296772e+04 6.1669552203176827e+04 6.1343299522759618e+04 6.0977745962083165e+04 6.0568826907351009e+04 6.0116856917127210e+04 5.9614266789863643e+04 5.9062639134708232e+04 5.8463250288008057e+04 5.7820801851906363e+04 5.7143293151602695e+04 5.6445949847023083e+04 5.5751478012512707e+04 5.5096765670746827e+04 5.4528772953935179e+04 5.4120441280553408e+04 5.3973608103184051e+04 5.4236116022861897e+04 5.5123261877359866e+04 5.6961293146478092e+04 6.0266701641725522e+04 6.5909366206039340e+04 5.7468414318072728e+03 +1.9756828780812825e+01 4.2626189869775664e+05 4.2621468883090239e+05 4.2613564275778754e+05 4.2602429452731449e+05 4.2589559646514943e+05 4.2577820350378996e+05 4.2568720814697043e+05 4.2559922697217367e+05 4.2548655229322024e+05 4.2533812558083516e+05 4.2515060205710545e+05 4.2491800238478807e+05 4.2463217546118016e+05 4.2428395520622341e+05 4.2386316470232507e+05 4.2335782368617301e+05 4.2275354202824290e+05 4.2203336351229972e+05 4.2117753963089973e+05 4.2016310030009731e+05 4.1896347169013886e+05 4.1754760484607174e+05 4.1587432560183079e+05 4.1387293365256587e+05 4.1146028255297791e+05 4.0859741924519342e+05 4.0525141023808595e+05 4.0136518971262238e+05 3.9686913520536857e+05 3.9168815919705073e+05 3.8574427638813219e+05 3.7895902429220494e+05 3.7125671821399650e+05 3.6256872987938084e+05 3.5283889103195583e+05 3.4202985053664196e+05 3.3013026747245470e+05 3.1716226014273148e+05 3.0318842665768939e+05 2.8831727834251733e+05 2.7151892546802777e+05 2.5412246708876779e+05 2.3643723271468599e+05 2.1880861759792897e+05 2.0159331278113538e+05 1.8513027742809596e+05 1.6971191532078909e+05 1.5556043758924908e+05 1.4281373463324519e+05 1.3152206963357946e+05 1.2165658138219973e+05 1.1312798389054263e+05 1.0580828054090544e+05 9.9545761555341873e+04 9.4186665884908885e+04 8.9589518079030808e+04 8.5629269821330934e+04 8.2201728856553076e+04 7.9221340486844958e+04 7.6621733518194495e+04 7.4348002777242145e+04 7.2358931894488225e+04 7.0618578931072334e+04 6.9101207208797525e+04 6.7782258923184592e+04 6.6641410155082049e+04 6.5662759149295220e+04 6.4829952858116398e+04 6.4127021522402458e+04 6.3542056260753285e+04 6.3060579313214221e+04 6.2671342981214846e+04 6.2361703836869441e+04 6.2120346152260725e+04 6.1932180393942639e+04 6.1782689535909361e+04 6.1660531192564682e+04 6.1555214310428448e+04 6.1456869846186695e+04 6.1387615754020415e+04 6.1317795711777268e+04 6.1246600829261355e+04 6.1172048287826765e+04 6.1095144626136629e+04 6.1013729239243214e+04 6.0930273441781515e+04 6.0837720052342665e+04 6.0738666764613648e+04 6.0631290571432561e+04 6.0514167914074053e+04 6.0385568950276545e+04 6.0243544969082002e+04 6.0085349775468661e+04 5.9911061117706136e+04 5.9714439094266520e+04 5.9493989540323717e+04 5.9246513606024033e+04 5.8968568861192798e+04 5.8656605283801975e+04 5.8307062110859988e+04 5.7916052925909469e+04 5.7483877639969454e+04 5.7003299784777504e+04 5.6475832133465177e+04 5.5902695123127451e+04 5.5288384437925459e+04 5.4640549052051363e+04 5.3973747777572542e+04 5.3309692377292238e+04 5.2683654463010273e+04 5.2140538540665169e+04 5.1750090880912234e+04 5.1609688847357298e+04 5.1860699563657210e+04 5.2708990437487941e+04 5.4466520143917041e+04 5.7627159586256996e+04 6.3022687825052919e+04 5.4774118965090074e+03 +1.9813457694870120e+01 4.0889630308169697e+05 4.0885096913593082e+05 4.0877510156416392e+05 4.0866820059424307e+05 4.0854457514952746e+05 4.0843169296880852e+05 4.0834402494011173e+05 4.0825915313829493e+05 4.0815049441081734e+05 4.0800741629732813e+05 4.0782668428647681e+05 4.0760253753905190e+05 4.0732712740621943e+05 4.0699162639100972e+05 4.0658623231214238e+05 4.0609940736711078e+05 4.0551729306355602e+05 4.0482355945038184e+05 4.0399918804913957e+05 4.0302205957820272e+05 4.0186658602313529e+05 4.0050287328428897e+05 3.9889128361242037e+05 3.9696375388285646e+05 3.9464022868392622e+05 3.9188322923435963e+05 3.8866110954614193e+05 3.8491900201693346e+05 3.8058997255211708e+05 3.7560186209182377e+05 3.6987976936026075e+05 3.6334839259182755e+05 3.5593517495389027e+05 3.4757443431868224e+05 3.3821257289736811e+05 3.2781419893119333e+05 3.1636904318985739e+05 3.0389910799774277e+05 2.9046538596377464e+05 2.7617303137944208e+05 2.6003361220405102e+05 2.4332551420816922e+05 2.2634656595468897e+05 2.0942881401962438e+05 1.9291463754633744e+05 1.7712884721224595e+05 1.6235106977513255e+05 1.4879319601712321e+05 1.3658601266756392e+05 1.2577623697553897e+05 1.1633485192265559e+05 1.0817515644268492e+05 1.0117364058366357e+05 9.5184376282990983e+04 9.0059725136952169e+04 8.5664009508611009e+04 8.1877421978867875e+04 7.8600209313753847e+04 7.5750509687188780e+04 7.3264843253876286e+04 7.1090714688369393e+04 6.9188724948674819e+04 6.7524521463959463e+04 6.6073507457413958e+04 6.4812212589208364e+04 6.3721212439435345e+04 6.2785308120880814e+04 6.1988868802696605e+04 6.1316628005918297e+04 6.0757200468843381e+04 6.0296744699981413e+04 5.9924504794872650e+04 5.9628390466626195e+04 5.9397579452244725e+04 5.9217640551870289e+04 5.9074690561202391e+04 5.8957880612303023e+04 5.8857176909959300e+04 5.8763141866198152e+04 5.8696923019818016e+04 5.8630163198153379e+04 5.8562088868671060e+04 5.8490804076632296e+04 5.8417271224475087e+04 5.8339424578655729e+04 5.8259626256342279e+04 5.8171129621953871e+04 5.8076417985508378e+04 5.7973748244300572e+04 5.7861759235585756e+04 5.7738796937866471e+04 5.7602998054336931e+04 5.7451736932226086e+04 5.7285087051044633e+04 5.7097083214237675e+04 5.6886296232697256e+04 5.6649667466008315e+04 5.6383905370091241e+04 5.6085615524955429e+04 5.5751393240740254e+04 5.5377522615172194e+04 5.4964289586527819e+04 5.4504776028809225e+04 5.4000427912930711e+04 5.3452412184160945e+04 5.2865027476478739e+04 5.2245587501216607e+04 5.1608012940969900e+04 5.0973064059425800e+04 5.0374465710111675e+04 4.9855155242935863e+04 4.9481821406839364e+04 4.9347573545304447e+04 4.9587582192094473e+04 5.0398691406264043e+04 5.2079186412210736e+04 5.5101291379366325e+04 6.0260326437329873e+04 5.2204853722567141e+03 +1.9870086608927416e+01 3.9222032405662746e+05 3.9217678705710114e+05 3.9210397845602763e+05 3.9200135113986116e+05 3.9188260948459449e+05 3.9177406657165044e+05 3.9168960926894750e+05 3.9160774355120963e+05 3.9150296518184402e+05 3.9136505269792565e+05 3.9119087814367865e+05 3.9097489156807680e+05 3.9070953612717008e+05 3.9038631087477360e+05 3.8999577517684730e+05 3.8952681806846248e+05 3.8896609386058629e+05 3.8829787675541744e+05 3.8750385248647863e+05 3.8656272237726289e+05 3.8544984924689110e+05 3.8413645269730990e+05 3.8258437644543475e+05 3.8072810025975591e+05 3.7849054979448882e+05 3.7583566711369168e+05 3.7273304535229685e+05 3.6912993379171216e+05 3.6496198699694948e+05 3.6015986461949482e+05 3.5465163215607550e+05 3.4836502613095980e+05 3.4123049334478000e+05 3.3318517658641032e+05 3.2417793681137956e+05 3.1417524761114974e+05 3.0316784514866013e+05 2.9117758862447785e+05 2.7826388938764390e+05 2.6452863200717350e+05 2.4902322643554801e+05 2.3297719765093460e+05 2.1667727473318210e+05 2.0044264463912731e+05 1.8460192272438406e+05 1.6946633762928398e+05 1.5530327606902306e+05 1.4231476882644088e+05 1.3062484498722308e+05 1.2027688471398392e+05 1.1124178471415577e+05 1.0343537869036499e+05 9.6738503602572993e+04 9.1010806647211823e+04 8.6110539515250144e+04 8.1907593692299270e+04 7.8287189940728407e+04 7.5153830178889082e+04 7.2429190011786646e+04 7.0052557878670414e+04 6.7973744757987952e+04 6.6155090418299049e+04 6.4563762699917992e+04 6.3176255180601016e+04 6.1970137683585926e+04 6.0926846173233462e+04 6.0031854106513259e+04 5.9270221514347977e+04 5.8627354754653854e+04 5.8092369560430030e+04 5.7652033218351964e+04 5.7296060497061895e+04 5.7012890472393156e+04 5.6792173213043934e+04 5.6620107638314556e+04 5.6483417176984665e+04 5.6371725395255344e+04 5.6275436180672164e+04 5.6185524862455160e+04 5.6122210442690674e+04 5.6058378937298388e+04 5.5993290651994954e+04 5.5925132754495018e+04 5.5854825414258739e+04 5.5780393671218284e+04 5.5704095196464252e+04 5.5619480452341944e+04 5.5528923322374227e+04 5.5430757163871385e+04 5.5323680520662936e+04 5.5206111923930272e+04 5.5076269809201178e+04 5.4931643861382130e+04 5.4772303518785273e+04 5.4592546387984119e+04 5.4391005480935761e+04 5.4164756323084948e+04 5.3910651752630714e+04 5.3625446244427469e+04 5.3305884454311723e+04 5.2948413635887322e+04 5.2553306398946625e+04 5.2113949178981682e+04 5.1631724049352728e+04 5.1107746769167563e+04 5.0546127415818795e+04 4.9953858889128882e+04 4.9344251247952903e+04 4.8737154263026947e+04 4.8164812739790090e+04 4.7668281610959421e+04 4.7311323919041337e+04 4.7182964949584341e+04 4.7412445760610761e+04 4.8187976003478070e+04 4.9794756831422070e+04 5.2684298733734664e+04 5.7617034495949294e+04 4.9754884536273239e+03 +1.9926715522984711e+01 3.7620742788685497e+05 3.7616562204517971e+05 3.7609574569938419e+05 3.7599722948234185e+05 3.7588318181860773e+05 3.7577881773204834e+05 3.7569745826092974e+05 3.7561849858232896e+05 3.7551746921898227e+05 3.7538454515280033e+05 3.7521670153886825e+05 3.7500859185958467e+05 3.7475294080854947e+05 3.7444156235253962e+05 3.7406536465477751e+05 3.7361364848026616e+05 3.7307356274429843e+05 3.7242996441685536e+05 3.7166521849666053e+05 3.7075881772005692e+05 3.6968704193244671e+05 3.6842218466497550e+05 3.6692751800770639e+05 3.6513997352099663e+05 3.6298535164417257e+05 3.6042896368148952e+05 3.5744159523820074e+05 3.5397253400019207e+05 3.4995992699005530e+05 3.4533714672594611e+05 3.4003511246128840e+05 3.3398448109042895e+05 3.2711858351069363e+05 3.1937727093790926e+05 3.1071175594039611e+05 3.0109028761188721e+05 2.9050454464359104e+05 2.7897621824966074e+05 2.6656316342962347e+05 2.5336408091997678e+05 2.3846866735572519e+05 2.2305937560067567e+05 2.0741222396113785e+05 1.9183401221989107e+05 1.7664012035783945e+05 1.6212873995711273e+05 1.4855553318261111e+05 1.3611311157534635e+05 1.2491907664392811e+05 1.1501366926423536e+05 1.0636776377623899e+05 9.8899677853703193e+04 9.2494459002481395e+04 8.7017129868015865e+04 8.2331607936626649e+04 7.8313133686118512e+04 7.4851751618861541e+04 7.1856042280653404e+04 6.9251069603875279e+04 6.6978772335037167e+04 6.4991168545652225e+04 6.3252261605782172e+04 6.1730673733360345e+04 6.0403941417588801e+04 5.9250629357284430e+04 5.8252996450846993e+04 5.7397159273040255e+04 5.6668838695594321e+04 5.6054084760274891e+04 5.5542492527529488e+04 5.5121411735467431e+04 5.4781007592459384e+04 5.4510225759871770e+04 5.4299168390300627e+04 5.4134637491300920e+04 5.4003937078016133e+04 5.3897142948192828e+04 5.3805077917277835e+04 5.3719112473147528e+04 5.3658577188148935e+04 5.3597547668100255e+04 5.3535316602109800e+04 5.3470150696209392e+04 5.3402929710030687e+04 5.3331765532546931e+04 5.3258815937105071e+04 5.3177915607688425e+04 5.3091333747308272e+04 5.2997476874809108e+04 5.2895100664633843e+04 5.2782693070496651e+04 5.2658550734271535e+04 5.2520273694072748e+04 5.2367927563063218e+04 5.2196061354846344e+04 5.2003367623859056e+04 5.1787050273173525e+04 5.1544100294177835e+04 5.1271414632983578e+04 5.0965880847955559e+04 5.0624102301415769e+04 5.0246338889742852e+04 4.9826268414399587e+04 4.9365211831894034e+04 4.8864235923263484e+04 4.8327270344224133e+04 4.7761001023490186e+04 4.7178153740087015e+04 4.6597707045063340e+04 4.6050489585513198e+04 4.5575755037635194e+04 4.5234466981744474e+04 4.5111742834515870e+04 4.5331150004517047e+04 4.6072636241460896e+04 4.7608883102228741e+04 5.0371581023790954e+04 5.5087780622775048e+04 4.7418736727569612e+03 +1.9983344437042007e+01 3.6083206086940196e+05 3.6079191475155414e+05 3.6072486341486766e+05 3.6063029368460266e+05 3.6052075888539880e+05 3.6042041798220598e+05 3.6034204861910274e+05 3.6026589768404170e+05 3.6016849022073578e+05 3.6004038293813699e+05 3.5987865105964505e+05 3.5967814421211841e+05 3.5943185869320721e+05 3.5913191214533878e+05 3.5876954920217249e+05 3.5833446775138448e+05 3.5781429372339899e+05 3.5719444618407183e+05 3.5645794528507569e+05 3.5558504696614936e+05 3.5455291542108136e+05 3.5333487968190090e+05 3.5189558891877346e+05 3.5017433846660040e+05 3.4809970084308705e+05 3.4563830675836187e+05 3.4276208930433198e+05 3.3942229885243124e+05 3.3555948207386088e+05 3.3110962228329165e+05 3.2600638356810890e+05 3.2018322962698806e+05 3.1357626044580317e+05 3.0612792374656396e+05 2.9779168099016498e+05 2.8853747093263199e+05 2.7835785520475951e+05 2.6727433432020393e+05 2.5534323242543623e+05 2.4266015086170353e+05 2.2835157589367536e+05 2.1355461515138959e+05 1.9853495246489396e+05 1.8358745677911569e+05 1.6901478205585130e+05 1.5510260708287140e+05 1.4209536428182718e+05 1.3017666790437790e+05 1.1945800668176686e+05 1.0997666949565151e+05 1.0170356693732966e+05 9.4559449358154656e+04 8.8433441807582843e+04 8.3195749041483243e+04 7.8715738031216752e+04 7.4873786380447622e+04 7.1564565862000993e+04 6.8700566188695433e+04 6.6210096605770363e+04 6.4037633074641839e+04 6.2137305706769061e+04 6.0474709437742538e+04 5.9019857631714600e+04 5.7751284264697417e+04 5.6648505553113318e+04 5.5694567475251533e+04 5.4876201741362245e+04 5.4179761320781450e+04 5.3591912024073972e+04 5.3102707489351815e+04 5.2700054695533203e+04 5.2374549908452471e+04 5.2115623557709296e+04 5.1913810481237677e+04 5.1756489879597961e+04 5.1631521402448983e+04 5.1529413721883895e+04 5.1441390612698910e+04 5.1359200711486177e+04 5.1301324568637865e+04 5.1242976046667602e+04 5.1183478824304293e+04 5.1121175713636447e+04 5.1056907810152465e+04 5.0988870093895515e+04 5.0919124794392999e+04 5.0841778488390468e+04 5.0759000242602568e+04 5.0669266578257928e+04 5.0571387833460554e+04 5.0463918386841222e+04 5.0345229709574429e+04 5.0213027420042519e+04 5.0067373510779013e+04 4.9903057491538435e+04 4.9718828911739016e+04 4.9512014508727683e+04 4.9279737461477569e+04 4.9019031035492008e+04 4.8726919520956370e+04 4.8400155640423225e+04 4.8038987163736718e+04 4.7637370624003532e+04 4.7196568522498979e+04 4.6717600777130814e+04 4.6204224412510928e+04 4.5662831641420358e+04 4.5105589192383210e+04 4.4550642009317686e+04 4.4027463766180976e+04 4.3573584612947372e+04 4.3247289570520406e+04 4.3129956923357364e+04 4.3339725434564825e+04 4.4048637701310385e+04 4.5517396281833353e+04 4.8158727388157931e+04 5.2667740971346102e+04 4.5191183450893295e+03 +2.0039973351099302e+01 3.4606961491137580e+05 3.4603106655557716e+05 3.4596672567749041e+05 3.4587595032033185e+05 3.4577075355072488e+05 3.4567428612981649e+05 3.4559880195298675e+05 3.4552536517512461e+05 3.4543145667773421e+05 3.4530799998724420e+05 3.4515216773264005e+05 3.4495899860101467e+05 3.4472175085779006e+05 3.4443283498631010e+05 3.4408382017132448e+05 3.4366478730285092e+05 3.4316382232784014e+05 3.4256688642486453e+05 3.4185763159892504e+05 3.4101704973192507e+05 3.4002315778837225e+05 3.3885028317088180e+05 3.3746440257909190e+05 3.3580709009796963e+05 3.3380959107763576e+05 3.3143980751442473e+05 3.2867077661622397e+05 3.2545563839224394e+05 3.2173724963503669e+05 3.1745410603436880e+05 3.1254251154440944e+05 3.0693862730690808e+05 3.0058121175503661e+05 2.9341520159497228e+05 2.8539620870555041e+05 2.7649577950561157e+05 2.6670730210048665e+05 2.5605206561897372e+05 2.4458488934793207e+05 2.3239835820171874e+05 2.1865430721253229e+05 2.0444616582426510e+05 1.9002964761549630e+05 1.7568813140607547e+05 1.6171203606489528e+05 1.4837503186164683e+05 1.3591079637623264e+05 1.2449435047422127e+05 1.1423137030929276e+05 1.0515637006512970e+05 9.7240350241675507e+04 9.0406442215049610e+04 8.4547718910939569e+04 7.9539380156382860e+04 7.5256033831415960e+04 7.1582990775352911e+04 6.8419361240807819e+04 6.5681381442231839e+04 6.3300468774216730e+04 6.1223528010765287e+04 5.9406710239145155e+04 5.7817132968047088e+04 5.6426140163534554e+04 5.5213219798123071e+04 5.4158798097598912e+04 5.3246673795884228e+04 5.2464166948562735e+04 5.1798235104725340e+04 5.1236133114972065e+04 5.0768353325208380e+04 5.0383335813899343e+04 5.0072089339012964e+04 4.9824508201006487e+04 4.9631541339772535e+04 4.9481120341949885e+04 4.9361636590279129e+04 4.9264013084928330e+04 4.9179857345968019e+04 4.9101279866322824e+04 4.9045947953476461e+04 4.8990164565266074e+04 4.8933283035152985e+04 4.8873718994109455e+04 4.8812276545299574e+04 4.8747230161481937e+04 4.8680550695684316e+04 4.8606604813569233e+04 4.8527465796116230e+04 4.8441677141459812e+04 4.8348101489005428e+04 4.8245356771609768e+04 4.8131886055636118e+04 4.8005495969228192e+04 4.7866245078375403e+04 4.7709152942689376e+04 4.7533023665910900e+04 4.7335301510839854e+04 4.7113236131325277e+04 4.6863991220618322e+04 4.6584721891528214e+04 4.6272323764405104e+04 4.5927033042682808e+04 4.5543072894315817e+04 4.5121649913356669e+04 4.4663739179845186e+04 4.4172932548053934e+04 4.3655341208537444e+04 4.3122597000474991e+04 4.2592047281027015e+04 4.2091869343258164e+04 4.1657944252440728e+04 4.1345994252241253e+04 4.1233820086644198e+04 4.1434366502360419e+04 4.2112112586664298e+04 4.3516299605738088e+04 4.6041509135008149e+04 5.0352290921343301e+04 4.3067234654832073e+03 +2.0096602265156598e+01 3.3189639869689365e+05 3.3185938488058385e+05 3.3179764326937142e+05 3.3171051593009831e+05 3.3160949039601447e+05 3.3151675189849490e+05 3.3144405141109758e+05 3.3137323720717034e+05 3.3128270870203502e+05 3.3116374174562690e+05 3.3101360389115900e+05 3.3082751604957093e+05 3.3059898909160437e+05 3.3032071591146063e+05 3.2998457871630904e+05 3.2958102775023278e+05 3.2909859254808322e+05 3.2852375709043682e+05 3.2784078271818632e+05 3.2703137091816601e+05 3.2607436090882204e+05 3.2494504259455815e+05 3.2361067234303575e+05 3.2201502085702086e+05 3.2009191043189977e+05 3.1781046788944327e+05 3.1514479274288117e+05 3.1204984417442320e+05 3.0847070274291112e+05 3.0434828162170330e+05 2.9962142348372680e+05 2.9422888161160320e+05 2.8811196645740903e+05 2.8121800042651925e+05 2.7350465142010216e+05 2.6494499520387687e+05 2.5553319287135729e+05 2.4529030339087921e+05 2.3426966760770729e+05 2.2256093548680175e+05 2.0935990416317244e+05 1.9571793401699452e+05 1.8188112085803278e+05 1.6812177894789097e+05 1.5471856516765291e+05 1.4193362626585556e+05 1.2999034072619733e+05 1.1905552261239903e+05 1.0922932173717166e+05 1.0054364537860258e+05 9.2969632947029473e+04 8.6432744957196148e+04 8.0829875848294236e+04 7.6041039607635961e+04 7.1945883932210956e+04 6.8434456704967044e+04 6.5410125262858332e+04 6.2792716191888605e+04 6.0516623493985913e+04 5.8531076855898362e+04 5.6794161103749160e+04 5.5274450245915010e+04 5.3944560881883684e+04 5.2784893344867065e+04 5.1776744134642591e+04 5.0904631882661262e+04 5.0156439342559424e+04 4.9519702299498924e+04 4.8982239052420271e+04 4.8534961628896817e+04 4.8166820090929781e+04 4.7869217905948542e+04 4.7632493230951673e+04 4.7447991305374751e+04 4.7304172339357094e+04 4.7189936554628366e+04 4.7096603510607143e+04 4.7016147982512426e+04 4.6941026714926476e+04 4.6888128990125922e+04 4.6834799782512317e+04 4.6780420801556204e+04 4.6723477349079825e+04 4.6664738136962034e+04 4.6602553685129962e+04 4.6538807458882846e+04 4.6468114912096382e+04 4.6392457704773267e+04 4.6310443414969042e+04 4.6220984721106593e+04 4.6122760360993263e+04 4.6014281899504429e+04 4.5893452598135962e+04 4.5760327780040920e+04 4.5610147054087363e+04 4.5441766739817045e+04 4.5252743541948774e+04 4.5040448118336986e+04 4.4802168948314305e+04 4.4535186308384327e+04 4.4236532528770469e+04 4.3906432780902956e+04 4.3539365286310509e+04 4.3136483170492858e+04 4.2698718615195270e+04 4.2229505448700394e+04 4.1734685995211425e+04 4.1225380341554861e+04 4.0718172751581522e+04 4.0240000245055802e+04 3.9825166090358463e+04 3.9526940627611169e+04 3.9419701802884476e+04 3.9611425029015532e+04 4.0259353044721691e+04 4.1601761586198911e+04 4.4015872440105784e+04 4.8136997092693506e+04 4.1042126525353997e+03 +2.0153231179213893e+01 3.1828959509232646e+05 3.1825405284469074e+05 3.1819481246601982e+05 3.1811119011479855e+05 3.1801417565904430e+05 3.1792502621457190e+05 3.1785500976662798e+05 3.1778672976232384e+05 3.1769946596533293e+05 3.1758483310707100e+05 3.1744019111743447e+05 3.1726093657091557e+05 3.1704082385473803e+05 3.1677281822647469e+05 3.1644910377160145e+05 3.1606048689580330e+05 3.1559592484741792e+05 3.1504240575053421e+05 3.1438477852009621e+05 3.1360542880551604e+05 3.1268398859262140e+05 3.1159667563950265e+05 3.1031197975487512e+05 3.0877578893281973e+05 3.0692440977678966e+05 3.0472814908029838e+05 3.0216212835854472e+05 2.9918305799980415e+05 2.9573815904456656e+05 2.9177067066652921e+05 2.8722187680046808e+05 2.8203302148622938e+05 2.7614786482808238e+05 2.6951601572494686e+05 2.6209710762668276e+05 2.5386567085959931e+05 2.4481658885984929e+05 2.3497067345580767e+05 2.2437981382172604e+05 2.1313080494431144e+05 2.0045207166370517e+05 1.8735445834921178e+05 1.7407478410868591e+05 1.6087470953083559e+05 1.4802158538373755e+05 1.3576650129705539e+05 1.2432297397390976e+05 1.1384998064233817e+05 1.0444241766141437e+05 9.6129744157542198e+04 8.8883283090689642e+04 8.2630772111441969e+04 7.7272804077389039e+04 7.2694032187394914e+04 6.8778950105655938e+04 6.5422153994606160e+04 6.2531094001597732e+04 6.0029037239552272e+04 5.7853228175382028e+04 5.5955121831301673e+04 5.4294653206888128e+04 5.2841789535580938e+04 5.1570364551611106e+04 5.0461651090328356e+04 4.9497777889484161e+04 4.8663952025007296e+04 4.7948594396572298e+04 4.7339793807162961e+04 4.6825907502271737e+04 4.6398248973461508e+04 4.6046256133221781e+04 4.5761710126678983e+04 4.5535373798907371e+04 4.5358971636256632e+04 4.5221469710931444e+04 4.5112255155239189e+04 4.5023027065172675e+04 4.4946111674856642e+04 4.4874297035511234e+04 4.4823728125713154e+04 4.4772746853292330e+04 4.4720762079175052e+04 4.4666325761722772e+04 4.4610172754273939e+04 4.4550726325065043e+04 4.4489786369458277e+04 4.4422206310639616e+04 4.4349880174892045e+04 4.4271476845982943e+04 4.4185956874943775e+04 4.4092057172196961e+04 4.3988354835630438e+04 4.3872845569687495e+04 4.3745581629013272e+04 4.3602013097858893e+04 4.3441046271234190e+04 4.3260345427826716e+04 4.3057396990980269e+04 4.2829608823656519e+04 4.2574380947449274e+04 4.2288876477170132e+04 4.1973310062478027e+04 4.1622403890810136e+04 4.1237259953529181e+04 4.0818769391129172e+04 4.0370214847329516e+04 3.9897181419917826e+04 3.9410299598438243e+04 3.8925423584109099e+04 3.8468303848028358e+04 3.8071734127421238e+04 3.7786639026606827e+04 3.7684121870656112e+04 3.7867403886801985e+04 3.8486804744721747e+04 3.9770109376606539e+04 4.2077931326154656e+04 4.6017609667608900e+04 3.9111311390637029e+03 +2.0209860093271189e+01 3.0522723931971425e+05 3.0519311547453713e+05 3.0513627871764929e+05 3.0505601991386426e+05 3.0496285851004411e+05 3.0487716656540759e+05 3.0480973926905391e+05 3.0474390757972782e+05 3.0465979671394534e+05 3.0454934739831876e+05 3.0441000922839635e+05 3.0423734815733141e+05 3.0402535327310668e+05 3.0376725251454435e+05 3.0345552107205224e+05 3.0308130876524036e+05 3.0263398521953437e+05 3.0210102467157267e+05 3.0146784258415928e+05 3.0071748419375258e+05 2.9983034576364706e+05 2.9878353943968675e+05 2.9754674382821796e+05 2.9606788760414801e+05 2.9428567219207005e+05 2.9217154105869145e+05 2.8970159887411038e+05 2.8683424168113660e+05 2.8351875068439060e+05 2.7970060287032439e+05 2.7532342954428616e+05 2.7033086789974885e+05 2.6466902924253925e+05 2.5828971369004273e+05 2.5115443353513133e+05 2.4323910226104243e+05 2.3453927770748991e+05 2.2507550927349587e+05 2.1489826151719459e+05 2.0409155290181172e+05 1.9191515197380778e+05 1.7934088588065130e+05 1.6659662699516467e+05 1.5393377889168996e+05 1.4160882544528687e+05 1.2986224763621845e+05 1.1889811997383626e+05 1.0886793687381891e+05 9.9861601366775969e+04 9.1906274590388144e+04 8.4973503605303864e+04 7.8993251186512338e+04 7.3869688744210653e+04 6.9491939536664533e+04 6.5749156352348218e+04 6.2540302034654007e+04 5.9776742124900418e+04 5.7385040461755198e+04 5.5305171022019102e+04 5.3490718734695969e+04 5.1903388729388287e+04 5.0514480874293156e+04 4.9298992906794731e+04 4.8239032009481220e+04 4.7317522750345059e+04 4.6520330543398188e+04 4.5836390932061353e+04 4.5254321597127469e+04 4.4762995273612600e+04 4.4354109474598306e+04 4.4017568771860475e+04 4.3745515676409086e+04 4.3529119364355691e+04 4.3360467234571974e+04 4.3229009420506416e+04 4.3124598962570788e+04 4.3039298185983462e+04 4.2965769653221498e+04 4.2897118409636962e+04 4.2848777416921024e+04 4.2800042346918082e+04 4.2750348039158285e+04 4.2698310222119107e+04 4.2644631358387735e+04 4.2587804305987702e+04 4.2529549044099935e+04 4.2464946608542763e+04 4.2395807208546736e+04 4.2320858377176635e+04 4.2239106463820419e+04 4.2149344030935223e+04 4.2050210869878079e+04 4.1939791116034212e+04 4.1818134120599963e+04 4.1680891278515854e+04 4.1527016714019745e+04 4.1354277618664571e+04 4.1160271165091362e+04 4.0942519427078427e+04 4.0698536982673482e+04 4.0425612058196930e+04 4.0123949268342119e+04 3.9788504152170695e+04 3.9420329801021267e+04 3.9020278092371533e+04 3.8591487036224964e+04 3.8139295649459367e+04 3.7673866038462358e+04 3.7210353969627409e+04 3.6773374806758933e+04 3.6394278123969678e+04 3.6121744447310215e+04 3.6023744364172431e+04 3.6198950925422905e+04 3.6791060704692027e+04 3.8017822392242080e+04 4.0223960913161318e+04 4.3990055009257943e+04 3.7270448067795746e+03 +2.0266489007328484e+01 2.9268818908686581e+05 2.9265542675656290e+05 2.9260089549938182e+05 2.9252387215885788e+05 2.9243441717129666e+05 2.9235204952892917e+05 2.9228712093543046e+05 2.9222365406420035e+05 2.9214258779375051e+05 2.9203617637940252e+05 2.9190195627398178e+05 2.9173565678145766e+05 2.9153149315177632e+05 2.9128294665903877e+05 2.9098277318936051e+05 2.9062245365972258e+05 2.9019175525500509e+05 2.8967862090874702e+05 2.8906901231030264e+05 2.8834661055110238e+05 2.8749254864446819e+05 2.8648480080691440e+05 2.8529419133084343e+05 2.8387061559110222e+05 2.8215508339582710e+05 2.8012013309380622e+05 2.7774281506937125e+05 2.7498314780449716e+05 2.7179239521815797e+05 2.6811818710714398e+05 2.6390641169819259e+05 2.5910300538471295e+05 2.5365633599878129e+05 2.4752030338379013e+05 2.4065821559087629e+05 2.3304730109767677e+05 2.2468374678854467e+05 2.1558782593202556e+05 2.0580860574549367e+05 1.9542740509781177e+05 1.8373410083930992e+05 1.7166294916945370e+05 1.5943319490926649e+05 1.4728636749098057e+05 1.3546850701978593e+05 1.2420991700580413e+05 1.1370563229789556e+05 1.0410000323006534e+05 9.5478187430432023e+04 8.7865190046546122e+04 8.1232818964085949e+04 7.5513210159567505e+04 7.0613996918554200e+04 6.6428609041717413e+04 6.2850678374872135e+04 5.9783359756985017e+04 5.7141773308267111e+04 5.4855641602911390e+04 5.2867552154572310e+04 5.1133128352541135e+04 4.9615768791274539e+04 4.8288047956778399e+04 4.7126076727029264e+04 4.6112760109955932e+04 4.5231783656321320e+04 4.4469642302340406e+04 4.3815763738548201e+04 4.3259271417041120e+04 4.2789531106564325e+04 4.2398607642116258e+04 4.2076851966343500e+04 4.1816752334720768e+04 4.1609866674910176e+04 4.1448629653487624e+04 4.1322954584497893e+04 4.1223140302070387e+04 4.1141596739657347e+04 4.1071308295540519e+04 4.1005683302809957e+04 4.0959473618821808e+04 4.0912887343778246e+04 4.0865384172861435e+04 4.0815640840551998e+04 4.0764328824211734e+04 4.0710007547746369e+04 4.0654320570951051e+04 4.0592566628184381e+04 4.0526475765006922e+04 4.0454831620377408e+04 4.0376684355981131e+04 4.0290879772882377e+04 4.0196117637025563e+04 4.0090566673693189e+04 3.9974273487134866e+04 3.9843082010043348e+04 3.9695992140099581e+04 3.9530869518675987e+04 3.9345417264838688e+04 3.9137266710289005e+04 3.8904042021587265e+04 3.8643151104988057e+04 3.8354789004632228e+04 3.8034134450492587e+04 3.7682193772109764e+04 3.7299781286617050e+04 3.6889896642456159e+04 3.6457643447297552e+04 3.6012735736635623e+04 3.5569661125182902e+04 3.5151949122323975e+04 3.4789567729793540e+04 3.4529050729697330e+04 3.4435371822707908e+04 3.4602853133064375e+04 3.5168855357021181e+04 3.6341526178234075e+04 3.8450390930756010e+04 4.2050428566336377e+04 3.5515392632615631e+03 +2.0323117921385780e+01 2.8065209088480391e+05 2.8062063776987034e+05 2.8056831865539763e+05 2.8049440349286271e+05 2.8040851191459241e+05 2.8032934384932090e+05 2.8026682492429035e+05 2.8020564219674264e+05 2.8012751562958624e+05 2.8002500122531416e+05 2.7989571951932547e+05 2.7973555738392664e+05 2.7953894797060854e+05 2.7929961684896669e+05 2.7901059054952534e+05 2.7866366918611102e+05 2.7824900319418852e+05 2.7775498737781006e+05 2.7716811001767538e+05 2.7647266514245974e+05 2.7565049592570501e+05 2.7468040744457132e+05 2.7353432804919191e+05 2.7216404838090256e+05 2.7051280314875295e+05 2.6855418524871848e+05 2.6626615469844837e+05 2.6361029146102519e+05 2.6053976749329170e+05 2.5700428347810698e+05 2.5295189743740566e+05 2.4833075453209554e+05 2.4309138808505569e+05 2.3718970981348641e+05 2.3059074392349235e+05 2.2327296882766025e+05 2.1523315755491730e+05 2.0649129503213521e+05 1.9709507857542275e+05 1.8712320285549533e+05 1.7589446447430016e+05 1.6430694414813683e+05 1.5257156784856750e+05 1.4092036038411307e+05 1.2958932565774044e+05 1.1879900422023931e+05 1.0873577739190969e+05 9.9537175488858658e+04 9.1283847004243697e+04 8.3998775334684120e+04 7.7654062335794239e+04 7.2183965442650209e+04 6.7499466282896799e+04 6.3498143157993181e+04 6.0077933457715561e+04 5.7146015997928880e+04 5.4621111018209485e+04 5.2435967424333838e+04 5.0535675078380198e+04 4.8877808205224916e+04 4.7427385438832433e+04 4.6158200333788438e+04 4.5047428220814203e+04 4.4078736975849133e+04 4.3236539780501051e+04 4.2507933513282318e+04 4.1882816479477391e+04 4.1350795786194023e+04 4.0901708739431029e+04 4.0527971508402043e+04 4.0220361983780036e+04 3.9971699205574449e+04 3.9773913019397100e+04 3.9619770375265740e+04 3.9499627770049869e+04 3.9404210568536007e+04 3.9326261349273249e+04 3.9259072465796729e+04 3.9196342413981489e+04 3.9152171541571537e+04 3.9107640799638364e+04 3.9062233663413623e+04 3.9014685227265349e+04 3.8965637328729274e+04 3.8913713062593321e+04 3.8860482915825465e+04 3.8801453831250226e+04 3.8738279187861735e+04 3.8669796295368949e+04 3.8595097226030462e+04 3.8513078708872607e+04 3.8422497881391595e+04 3.8321604381390272e+04 3.8210442214452130e+04 3.8085039453786194e+04 3.7944439801076340e+04 3.7786603074507286e+04 3.7609333741268027e+04 3.7410367648715670e+04 3.7187433795474288e+04 3.6938054567472573e+04 3.6662415881750618e+04 3.6355909932885297e+04 3.6019498334875927e+04 3.5653959474709423e+04 3.5262160644636300e+04 3.4848980260539392e+04 3.4423703734680945e+04 3.4000179524807158e+04 3.3600898441025412e+04 3.3254506841490271e+04 3.3005484955230619e+04 3.2915939665648395e+04 3.3076031024181022e+04 3.3617058844588617e+04 3.4737986515193377e+04 3.6753799481748407e+04 4.0194988052832487e+04 3.3842189594190072e+03 +2.0379746835443076e+01 2.6909935253208625e+05 2.6906915569376858e+05 2.6901896384040546e+05 2.6894803086339257e+05 2.6886556660577934e+05 2.6878947797137441e+05 2.6872928293710132e+05 2.6867030645077024e+05 2.6859501812726754e+05 2.6849626445290039e+05 2.6837174738170311e+05 2.6821750581913308e+05 2.6802818283604382e+05 2.6779773954157881e+05 2.6751946340760053e+05 2.6718546224856237e+05 2.6678625593332469e+05 2.6631067488334992e+05 2.6574571499905328e+05 2.6507626111649023e+05 2.6428484088627517e+05 2.6335106010910921e+05 2.6224791100378148e+05 2.6092901050609790e+05 2.5933973760639070e+05 2.5745470082191515e+05 2.5525273503714465e+05 2.5269692291947393e+05 2.4974227246838724e+05 2.4634047629898056e+05 2.4244167831509197e+05 2.3799614540775321e+05 2.3295648886356389e+05 2.2728054792650382e+05 2.2093498669655612e+05 2.1389947143616658e+05 2.0617132075949144e+05 1.9777022043925966e+05 1.8874252543750161e+05 1.7916438008960383e+05 1.6838235735882042e+05 1.5725970878628531e+05 1.4599934001850392e+05 1.3482412782258372e+05 1.2396043243851593e+05 1.1361942990059826e+05 1.0397921836203744e+05 9.5170818118215335e+04 8.7270593654060795e+04 8.0299633484395395e+04 7.4230363232598553e+04 6.8999110311897224e+04 6.4520094256282006e+04 6.0694889146213245e+04 5.7425570738018083e+04 5.4623180234786007e+04 5.2209889653221879e+04 5.0121347196503419e+04 4.8305038481733143e+04 4.6720404612043130e+04 4.5334013942745230e+04 4.4120825913533721e+04 4.3059033704210779e+04 4.2133034600950567e+04 4.1327937496754515e+04 4.0631414817414297e+04 4.0033814874037846e+04 3.9525207261200419e+04 3.9095880245130393e+04 3.8738586024117278e+04 3.8444510843055308e+04 3.8206790201052645e+04 3.8017709742771789e+04 3.7870354350871625e+04 3.7755504553939252e+04 3.7664293800146908e+04 3.7589782981103977e+04 3.7525559111960843e+04 3.7465598283200627e+04 3.7423377665470842e+04 3.7380813167877037e+04 3.7337411015871934e+04 3.7291962130097003e+04 3.7245079996293098e+04 3.7195448609087187e+04 3.7144568584730863e+04 3.7088145991088699e+04 3.7027760887618337e+04 3.6962301923341380e+04 3.6890901260660452e+04 3.6812504344141475e+04 3.6725923190716290e+04 3.6629484830406524e+04 3.6523230810525733e+04 3.6403365307315442e+04 3.6268973940184340e+04 3.6118106613129938e+04 3.5948664738903455e+04 3.5758484140465400e+04 3.5545394094591684e+04 3.5307026488714953e+04 3.5043558535532538e+04 3.4750586584425124e+04 3.4429029492152178e+04 3.4079631276316999e+04 3.3705132622370649e+04 3.3310196536592666e+04 3.2903698427203424e+04 3.2498875354650278e+04 3.2117224574668893e+04 3.1786128179288298e+04 3.1548102064401570e+04 3.1462510824265602e+04 3.1615533245419105e+04 3.2132671538216517e+04 3.3204103754150572e+04 3.5130907048251887e+04 3.8420146892937053e+04 3.2247063457106583e+03 +2.0436375749500371e+01 2.5801111785757550e+05 2.5798212712591837e+05 2.5793397915010262e+05 2.5786591515323555e+05 2.5778674169547032e+05 2.5771361507679580e+05 2.5765566118117276e+05 2.5759881569657606e+05 2.5752626750215591e+05 2.5743114277126591e+05 2.5731122229624534e+05 2.5716269172878892e+05 2.5698039635981384e+05 2.5675852435165617e+05 2.5649061474887494e+05 2.5616907196271780e+05 2.5578477195870713e+05 2.5532696507404782e+05 2.5478313649896876e+05 2.5413874051335963e+05 2.5337696443720756e+05 2.5247818569955690e+05 2.5141642158603718e+05 2.5014704874273436e+05 2.4861751259102940e+05 2.4680339970828933e+05 2.4468438634654525e+05 2.4222500121140163e+05 2.3938201893873542e+05 2.3610904799537369e+05 2.3235823735033537e+05 2.2808189186653285e+05 2.2323461664633418e+05 2.1777609748796670e+05 2.1167456533410432e+05 2.0491081505964472e+05 1.9748267253469591e+05 1.8940951487536172e+05 1.8073638229523733e+05 1.7153694112159027e+05 1.6118444082104275e+05 1.5050860251786234e+05 1.3970460017076114e+05 1.2898650656258290e+05 1.1857141629131763e+05 1.0866152383186715e+05 9.9426999367498982e+04 9.0992649683448690e+04 8.3430769738076371e+04 7.6760673033082057e+04 7.0955135631572659e+04 6.5952503782071493e+04 6.1670127539267814e+04 5.8013429206539280e+04 5.4888461853836117e+04 5.2209973681675634e+04 4.9903446028010934e+04 4.7907304521632745e+04 4.6171328352746408e+04 4.4656745064511342e+04 4.3331605395607621e+04 4.2171983754727131e+04 4.1157046564541917e+04 4.0271888500669884e+04 3.9502283620627990e+04 3.8836454637415918e+04 3.8265180143995727e+04 3.7778971963899094e+04 3.7368549627526634e+04 3.7026986711041551e+04 3.6745860014409453e+04 3.6518607778602083e+04 3.6337856013531702e+04 3.6196993791289082e+04 3.6087207332047728e+04 3.6000020502818479e+04 3.5928798781155732e+04 3.5867411112647365e+04 3.5810099148478381e+04 3.5769744004601758e+04 3.5729060270172471e+04 3.5687575934789318e+04 3.5644135319644185e+04 3.5599324791944615e+04 3.5551886593214549e+04 3.5503254533457432e+04 3.5449325111266597e+04 3.5391608270147219e+04 3.5329041766468181e+04 3.5260796109730829e+04 3.5185863342271281e+04 3.5103107974445527e+04 3.5010931058573857e+04 3.4909371816762905e+04 3.4794802835527575e+04 3.4666349845330820e+04 3.4522148919413165e+04 3.4360194201312952e+04 3.4178417143121667e+04 3.3974742940105760e+04 3.3746908215417890e+04 3.3495081881043167e+04 3.3215055530182610e+04 3.2907707136307377e+04 3.2573747841790791e+04 3.2215797229599793e+04 3.1838312261404197e+04 3.1449776166513260e+04 3.1062841184230132e+04 3.0698054234382038e+04 3.0381588075138698e+04 3.0154079683616150e+04 3.0072270583056918e+04 3.0218531391573815e+04 3.0712818768081917e+04 3.1736907372071946e+04 3.3578570731374421e+04 3.6722467921363044e+04 3.0726410654550523e+03 +2.0493004663557667e+01 2.4736924005840256e+05 2.4734140825504501e+05 2.4729522238226098e+05 2.4722991280255100e+05 2.4715390317577499e+05 2.4708362730907727e+05 2.4702783460291041e+05 2.4697304701607858e+05 2.4690314402917220e+05 2.4681152083135676e+05 2.4669603448180866e+05 2.4655301231725709e+05 2.4637749444108119e+05 2.4616388784077726e+05 2.4590597408960763e+05 2.4559644347265601e+05 2.4522651517820740e+05 2.4478584429442394e+05 2.4426238759257356e+05 2.4364214817217094e+05 2.4290894906519703e+05 2.4204391123902760e+05 2.4102203959113068e+05 2.3980040620208529e+05 2.3832844775518507e+05 2.3658269264722694e+05 2.3454362622427865e+05 2.3217716860111468e+05 2.2944179414689721e+05 2.2629295387375852e+05 2.2268472399099977e+05 2.1857136673509164e+05 2.1390940013403003e+05 2.0866027881339460e+05 2.0279373059282437e+05 1.9629162244775612e+05 1.8915225129658059e+05 1.8139467732617157e+05 1.7306265361550837e+05 1.6422743927852027e+05 1.5428790238308813e+05 1.4404148640515126e+05 1.3367591265385418e+05 1.2339678185679537e+05 1.1341228696846099e+05 1.0391600893855652e+05 9.5070530599652717e+04 8.6994728806297309e+04 7.9757033303309639e+04 7.3375095800101117e+04 6.7822066553524506e+04 6.3038259911374691e+04 5.8944052063007133e+04 5.5448570994285197e+04 5.2461691955630959e+04 4.9901720730998750e+04 4.7697311189620006e+04 4.5789549474384730e+04 4.4130410403014030e+04 4.2682830897056287e+04 4.1416279597534878e+04 4.0307897140130211e+04 3.9337780498127220e+04 3.8491691092521876e+04 3.7756038913463657e+04 3.7119572788518730e+04 3.6573482716280807e+04 3.6108703361576772e+04 3.5716366667178168e+04 3.5389853562476994e+04 3.5121114364939662e+04 3.4903876923023337e+04 3.4731092834718998e+04 3.4596442200758444e+04 3.4491499370730620e+04 3.4408161715677481e+04 3.4340086152249976e+04 3.4281411364548214e+04 3.4226633042384317e+04 3.4188062210168173e+04 3.4149177406509225e+04 3.4109527441061022e+04 3.4068007713287385e+04 3.4025178652369534e+04 3.3979838207490182e+04 3.3933356314497898e+04 3.3881811581579779e+04 3.3826646902268061e+04 3.3766847003528906e+04 3.3701619073469097e+04 3.3629999724563764e+04 3.3550903676659233e+04 3.3462802778471712e+04 3.3365734053031010e+04 3.3256231134581692e+04 3.3133458134208289e+04 3.2995633545085402e+04 3.2840840206712928e+04 3.2667101039273392e+04 3.2472432983055434e+04 3.2254672834750640e+04 3.2013981590906082e+04 3.1746337559559539e+04 3.1452579624175138e+04 3.1133387482294402e+04 3.0791264883699387e+04 3.0430471710770944e+04 3.0059116078032323e+04 2.9689290845607469e+04 2.9340633969841398e+04 2.9038161464114539e+04 2.8820713154421785e+04 2.8742521622034783e+04 2.8882315024075404e+04 2.9354745760507736e+04 3.0333550739906012e+04 3.2093778715561195e+04 3.5098657329433619e+04 2.9276791836388729e+03 +2.0549633577614962e+01 2.3715625484683950e+05 2.3712953767702455e+05 2.3708523720516058e+05 2.3702257249418998e+05 2.3694960273341558e+05 2.3688206952671843e+05 2.3682836077334237e+05 2.3677556034526386e+05 2.3670821069304607e+05 2.3661996585795766e+05 2.3650875657998468e+05 2.3637104700034991e+05 2.3620206491909298e+05 2.3599642818151083e+05 2.3574815215292911e+05 2.3545020263879967e+05 2.3509412962872139e+05 2.3466997831082714e+05 2.3416615993514180e+05 2.3356920650914681e+05 2.3286355364368265e+05 2.3203103872844033e+05 2.3104761811942887e+05 2.2987199728942450e+05 2.2845553161174798e+05 2.2677565633867789e+05 2.2481363481772342e+05 2.2253672591528215e+05 2.1990503924897153e+05 2.1687579774725717e+05 2.1340492992339018e+05 2.0944857783691792e+05 2.0496509469046714e+05 1.9991762933340319e+05 1.9427733945702852e+05 1.8802711023695409e+05 1.8116567545198262e+05 1.7371177123470136e+05 1.6570789111148106e+05 1.5722295624685558e+05 1.4768043584225615e+05 1.3784670401706785e+05 1.2790229915096052e+05 1.1804467010588363e+05 1.0847345864876868e+05 9.9373985859311739e+04 9.0901573826208172e+04 8.3169440657122905e+04 7.6242345482859891e+04 7.0136385129972186e+04 6.4825105082288690e+04 6.0250737519803704e+04 5.6336583328717417e+04 5.2995338505274769e+04 5.0140551067147375e+04 4.7693940729065420e+04 4.5587202552094073e+04 4.3763971049279156e+04 4.2178322786976234e+04 4.0794830243094912e+04 3.9584318219647976e+04 3.8524946920783739e+04 3.7597703012142367e+04 3.6788985335133999e+04 3.6085811840461021e+04 3.5477434339092433e+04 3.4955436171507281e+04 3.4511156290386098e+04 3.4136121007770511e+04 3.3824005182268738e+04 3.3567116340583940e+04 3.3359459363383045e+04 3.3194297288870584e+04 3.3065588643794603e+04 3.2965279090638251e+04 3.2885623308557231e+04 3.2820557062677239e+04 3.2764477100632670e+04 3.2712122119413794e+04 3.2675257904245511e+04 3.2638093695419830e+04 3.2600198218699126e+04 3.2560515728795363e+04 3.2519581846913588e+04 3.2476247799291647e+04 3.2431822453294357e+04 3.2382558562812301e+04 3.2329834905544354e+04 3.2272681133693324e+04 3.2210339516711574e+04 3.2141889296426936e+04 3.2066293215547699e+04 3.1982090831590234e+04 3.1889317087831132e+04 3.1784659620098908e+04 3.1667319262869521e+04 3.1535593340148578e+04 3.1387649524933582e+04 3.1221598222394550e+04 3.1035544122415216e+04 3.0827419828614173e+04 3.0597378789317630e+04 3.0341577864767609e+04 3.0060818564288184e+04 2.9755750509899437e+04 2.9428766662308499e+04 2.9083938406810754e+04 2.8729015078233755e+04 2.8375554512684848e+04 2.8042325306453622e+04 2.7753237071775082e+04 2.7545410756597856e+04 2.7470679253148734e+04 2.7604286883966855e+04 2.8055812772788999e+04 2.8991306095178657e+04 3.0673644949553931e+04 3.3545558848037988e+04 2.7894924496959056e+03 +2.0606262491672258e+01 2.2735536127330214e+05 2.2732971327474978e+05 2.2728722084667740e+05 2.2722709699854327e+05 2.2715704987903836e+05 2.2709215538647113e+05 2.2704045549787945e+05 2.2698957391740542e+05 2.2692468869489973e+05 2.2683970313929243e+05 2.2673261914442549e+05 2.2660003290233924e+05 2.2643735307666461e+05 2.2623940066729829e+05 2.2600041638985943e+05 2.2571363157550344e+05 2.2537091502729672e+05 2.2496268788435569e+05 2.2447779935721421e+05 2.2390329114064304e+05 2.2322418909062963e+05 2.2242302084332885e+05 2.2147665931983382e+05 2.2034538350499273e+05 2.1898239740335935e+05 2.1736600939223770e+05 2.1547823087213293e+05 2.1328760870511108e+05 2.1075582560811736e+05 2.0784180838593454e+05 2.0450326570354411e+05 2.0069814483479297e+05 1.9638655942859570e+05 1.9153328095932392e+05 1.8611083282941760e+05 1.8010306701172233e+05 1.7350912187934783e+05 1.6634740346049363e+05 1.5865917323504307e+05 1.5051108216093635e+05 1.4135022206516680e+05 1.3191306299754709e+05 1.2237322108436038e+05 1.1292030214795705e+05 1.0374573414826721e+05 9.5026918098185881e+04 8.6912228481117374e+04 7.9509483960097306e+04 7.2879958374872484e+04 6.7038294587900949e+04 6.1958451808379403e+04 5.7584530306180350e+04 5.3842657122416196e+04 5.0648963315504072e+04 4.7920525783674158e+04 4.5582340071835577e+04 4.3569016338148605e+04 4.1826629902722452e+04 4.0311269105788204e+04 3.8989071267009771e+04 3.7832158234822353e+04 3.6819665120324775e+04 3.5933429180624960e+04 3.5160458616058415e+04 3.4488352572834694e+04 3.3906843711774556e+04 3.3407891429660878e+04 3.2983221212760043e+04 3.2624736474190311e+04 3.2326393153013189e+04 3.2080840376282060e+04 3.1882348016724925e+04 3.1724477008383274e+04 3.1601452236441171e+04 3.1505574574466518e+04 3.1429440502899030e+04 3.1367252577813128e+04 3.1313654431170242e+04 3.1263617205696541e+04 3.1228385235488975e+04 3.1192866635869828e+04 3.1156649183150195e+04 3.1118723859325150e+04 3.1079602559215054e+04 3.1038187459858815e+04 3.0995729044426767e+04 3.0948646590995420e+04 3.0898257569482485e+04 3.0843634599284727e+04 3.0784053502383937e+04 3.0718634291920116e+04 3.0646385640665958e+04 3.0565911859451378e+04 3.0477245924884068e+04 3.0377222731276430e+04 3.0265078249455652e+04 3.0139185198586758e+04 2.9997792387890968e+04 2.9839093894704729e+04 2.9661278334320428e+04 2.9462369937175197e+04 2.9242514954052858e+04 2.8998040985427870e+04 2.8729713808234948e+04 2.8438154279700480e+04 2.8125649399948699e+04 2.7796090272204394e+04 2.7456883088197552e+04 2.7119073973532984e+04 2.6800600073130285e+04 2.6524312789994536e+04 2.6325689118859460e+04 2.6254266843208949e+04 2.6381958292739462e+04 2.6813490418717789e+04 2.7707559711666901e+04 2.9315404035682564e+04 3.2060148158292035e+04 2.6577675927932696e+03 +2.0662891405729553e+01 2.1795038826730821e+05 2.1792576870693103e+05 2.1788501141329511e+05 2.1782732800275000e+05 2.1776008982010666e+05 2.1769773318733872e+05 2.1764796952728598e+05 2.1759894056541327e+05 2.1753643376893629e+05 2.1745459234692706e+05 2.1735148695151741e+05 2.1722384117342340e+05 2.1706723796546811e+05 2.1687669404710896e+05 2.1664666732429792e+05 2.1637064500728546e+05 2.1604080314551425e+05 2.1564792516246758e+05 2.1518128228038765e+05 2.1462840732812055e+05 2.1397489484402625e+05 2.1320393744757073e+05 2.1229329095049325e+05 2.1120475006012668e+05 2.0989329978568997e+05 2.0833808909297970e+05 2.0652184858960658e+05 2.0441436421565432e+05 2.0197883189640864e+05 1.9917581676834944e+05 1.9596473818716823e+05 1.9230527686517325e+05 1.8815923508255003e+05 1.8349293823098208e+05 1.7828021399282591e+05 1.7250583212692363e+05 1.6616930516261893e+05 1.5928870397575921e+05 1.5190408539509142e+05 1.4407989639797900e+05 1.3528591047095443e+05 1.2622981730024736e+05 1.1707856265994493e+05 1.0801420716304881e+05 9.9220289718744971e+04 9.0866617733198407e+04 8.3094918280336060e+04 7.6007858494013621e+04 6.9663403387096172e+04 6.4074837091969042e+04 5.9216548681455628e+04 5.5034457349434320e+04 5.1457420591681759e+04 4.8404876163083580e+04 4.5797291294267474e+04 4.3562804610494968e+04 4.1638820317126650e+04 3.9973751379718626e+04 3.8525611684835130e+04 3.7262035660794652e+04 3.6156385605662275e+04 3.5188728790119363e+04 3.4341715645111501e+04 3.3602936879415902e+04 3.2960547225178183e+04 3.2404739015647279e+04 3.1927831163548919e+04 3.1521918700055467e+04 3.1179265613419102e+04 3.0894096625754722e+04 3.0659387525140373e+04 3.0469661649760812e+04 3.0318764862959131e+04 3.0201176853952013e+04 3.0109538290429809e+04 3.0036772607657738e+04 2.9977337606420686e+04 2.9926113098803093e+04 2.9878292562479848e+04 2.9844621648810098e+04 2.9810676882750889e+04 2.9776064262811440e+04 2.9739819461158731e+04 2.9702431681671897e+04 2.9662851825530804e+04 2.9622274560120470e+04 2.9577278394001489e+04 2.9529122176393044e+04 2.9476919619804896e+04 2.9419978635179723e+04 2.9357458228740150e+04 2.9288410999918236e+04 2.9211503184164616e+04 2.9126765898565209e+04 2.9031174843033376e+04 2.8923999604972658e+04 2.8803685010137633e+04 2.8668557465054866e+04 2.8516891069582245e+04 2.8346954703755233e+04 2.8156860224221953e+04 2.7946747018587652e+04 2.7713105951624639e+04 2.7456668638640454e+04 2.7178028426760604e+04 2.6879370977153183e+04 2.6564414974548486e+04 2.6240238434537059e+04 2.5917398088018799e+04 2.5613035913311756e+04 2.5348991234364679e+04 2.5159168809328203e+04 2.5090911416468927e+04 2.5212944733435477e+04 2.5625355177424091e+04 2.6479807258427616e+04 2.8016406319669928e+04 3.0639527521699143e+04 2.5322056482226731e+03 +2.0719520319786849e+01 2.0892577916856855e+05 2.0890214604005928e+05 2.0886305693968307e+05 2.0880771704791606e+05 2.0874317641353712e+05 2.0868326277222965e+05 2.0863536549810891e+05 2.0858812486120677e+05 2.0852791328153235e+05 2.0844910465267269e+05 2.0834983611065630e+05 2.0822695410508290e+05 2.0807620952831366e+05 2.0789280765504375e+05 2.0767141569460789e+05 2.0740576742495425e+05 2.0708833497887707e+05 2.0671025086865417e+05 2.0626119292923703e+05 2.0572916721453660e+05 2.0510031613235347e+05 2.0435847290250941e+05 2.0348224373203373e+05 2.0243488328453127e+05 2.0117309230021379e+05 1.9967682895249146e+05 1.9792951527317826e+05 1.9590212913959150e+05 1.9355932197285170e+05 1.9086323410977967e+05 1.8777492872891252e+05 1.8425575093889007e+05 1.8026912264133515e+05 1.7578285721728619e+05 1.7077202781942690e+05 1.6522227526854587e+05 1.5913345755111863e+05 1.5252330627784377e+05 1.4543070087502533e+05 1.3791794906038896e+05 1.2947660118080235e+05 1.2078665006913894e+05 1.1200861453486500e+05 1.0331729717298163e+05 9.4888660413001620e+04 8.6885231662368547e+04 7.9442378345183708e+04 7.2657853069973658e+04 6.6586480028875827e+04 6.1240274464262664e+04 5.6594069256796654e+04 5.2595553979684097e+04 4.9176223670495834e+04 4.6258698859172633e+04 4.3766703716543707e+04 4.1631392354068135e+04 3.9792846827014037e+04 3.8201718813378488e+04 3.6817865115453744e+04 3.5610352396043170e+04 3.4553729220533583e+04 3.3628954105427809e+04 3.2819454851097136e+04 3.2113378983792067e+04 3.1499412319418065e+04 3.0968186601402391e+04 3.0512364432118000e+04 3.0124394132114143e+04 2.9796884450154586e+04 2.9524317122014527e+04 2.9299980299116960e+04 2.9118639750448259e+04 2.8974413856089439e+04 2.8862026046391442e+04 2.8774442023013973e+04 2.8704897962279370e+04 2.8648095853596897e+04 2.8599141440237388e+04 2.8553440855772278e+04 2.8521262860305324e+04 2.8488823227745754e+04 2.8455745385641872e+04 2.8421107746596135e+04 2.8385377814427949e+04 2.8347553083601269e+04 2.8308774862795861e+04 2.8265773911572560e+04 2.8219753029652471e+04 2.8169865228846844e+04 2.8115449108376124e+04 2.8055700965324275e+04 2.7989715408293210e+04 2.7916217890126460e+04 2.7835237769826694e+04 2.7743885378086627e+04 2.7641462463528474e+04 2.7526482810893864e+04 2.7397347036655687e+04 2.7252405770045196e+04 2.7090004652059939e+04 2.6908339336449404e+04 2.6707542666789235e+04 2.6484261617870667e+04 2.6239195146353162e+04 2.5972910290082942e+04 2.5687495794988681e+04 2.5386505453743004e+04 2.5076703431536997e+04 2.4768178424220678e+04 2.4477311972553947e+04 2.4224975476225420e+04 2.4043570099691453e+04 2.3978339430126831e+04 2.4094961605655906e+04 2.4489085078965487e+04 2.5305649341626846e+04 2.6774113173650640e+04 2.9280920621532339e+04 2.4125213135534600e+03 +2.0776149233844144e+01 2.0026656829971177e+05 2.0024388339542033e+05 2.0020639539788433e+05 2.0015330604022893e+05 2.0009135878517086e+05 2.0003379391838147e+05 1.9998769554605355e+05 1.9994218098045763e+05 1.9988418409477980e+05 1.9980830061383027e+05 1.9971273195028378e+05 1.9959444301853437e+05 1.9944934649592423e+05 1.9927282931516465e+05 1.9905976036739480e+05 1.9880411101153004e+05 1.9849863869071548e+05 1.9813481226325757e+05 1.9770270131365606e+05 1.9719076783432395e+05 1.9658568201432689e+05 1.9587189414336233e+05 1.9502882946835557e+05 1.9402114880026886e+05 1.9280720561333757e+05 1.9136773702361365e+05 1.8968682973246305e+05 1.8773660812807587e+05 1.8548312352047834e+05 1.8289003064302713e+05 1.7991997213241167e+05 1.7653589108643593e+05 1.7270276271935989e+05 1.6838982514864349e+05 1.6357334070219303e+05 1.5823977672899707e+05 1.5238930962438596e+05 1.4603932849381154e+05 1.3922756243090905e+05 1.3201424312054977e+05 1.2391182781179973e+05 1.1557365714113328e+05 1.0715405808350613e+05 9.8820852115562229e+04 9.0742725996579626e+04 8.3075228367924865e+04 7.5947642815271320e+04 6.9453033969917029e+04 6.3643245135350371e+04 5.8529107387607146e+04 5.4085909320933417e+04 5.0263063005523560e+04 4.6994610839527872e+04 4.4206236515752629e+04 4.1824792732051777e+04 3.9784326458753123e+04 3.8027486071003572e+04 3.6507067088376054e+04 3.5184690049931000e+04 3.4030791721776150e+04 3.3021055067643108e+04 3.2137290693917013e+04 3.1363669511072003e+04 3.0688871282566142e+04 3.0102089466341968e+04 2.9594375830507175e+04 2.9158721524652155e+04 2.8787912605537393e+04 2.8474887448780810e+04 2.8214373540568278e+04 2.7999957712691463e+04 2.7826637601572918e+04 2.7688792222301563e+04 2.7581378154779686e+04 2.7497672003528292e+04 2.7431209078901593e+04 2.7376924972377812e+04 2.7330141545938648e+04 2.7286468323874724e+04 2.7255718030515971e+04 2.7224717777990114e+04 2.7193107663498187e+04 2.7160006973967294e+04 2.7125862461594723e+04 2.7089716174783716e+04 2.7052658414208290e+04 2.7011565511676730e+04 2.6967586677814383e+04 2.6919912506836048e+04 2.6867910945515494e+04 2.6810813952731980e+04 2.6747756310993387e+04 2.6677520099569912e+04 2.6600133015438310e+04 2.6512834111560449e+04 2.6414955904270057e+04 2.6305078124636588e+04 2.6181672357031039e+04 2.6043162416737483e+04 2.5887967352151078e+04 2.5714362949591887e+04 2.5522475812908058e+04 2.5309102181027232e+04 2.5074909789829675e+04 2.4820440517137737e+04 2.4547690427662001e+04 2.4260055625628425e+04 2.3964000137134841e+04 2.3669165066745161e+04 2.3391204756109346e+04 2.3150064942846642e+04 2.2976708896017444e+04 2.2914372716320649e+04 2.3025820147820232e+04 2.3402455559863400e+04 2.4182787221772644e+04 2.5586092464942827e+04 2.7981667607313979e+04 2.2984423332604779e+03 +2.0832778147901440e+01 1.9195835939992787e+05 1.9193658504270620e+05 1.9190063251395355e+05 1.9184970403518993e+05 1.9179024890524620e+05 1.9173494411327378e+05 1.9169057989080486e+05 1.9164673126778365e+05 1.9159087118421512e+05 1.9151780880049625e+05 1.9142580765464579e+05 1.9131194690263091e+05 1.9117229503186882e+05 1.9100241399484265e+05 1.9079736700236032e+05 1.9055135431933810e+05 1.9025740830175442e+05 1.8990732185213271e+05 1.8949154195991281e+05 1.8899896986991283e+05 1.8841678416631915e+05 1.8773002950214324e+05 1.8691891991312522e+05 1.8594947043944593e+05 1.8478162649663223e+05 1.8339687495663721e+05 1.8177994142713913e+05 1.7990405303793962e+05 1.7773660741360337e+05 1.7524271512731133e+05 1.7238653632370551e+05 1.6913254822209699e+05 1.6544721564303269e+05 1.6130114075742973e+05 1.5667172118874948e+05 1.5154620837302119e+05 1.4592507163802240e+05 1.3982535515399347e+05 1.3328366454462215e+05 1.2635821720645108e+05 1.1858154089324217e+05 1.1058133115140306e+05 1.0250595024324681e+05 9.4516505472340199e+04 8.6774697388241300e+04 7.9429385181569669e+04 7.2604032932832517e+04 6.6387233828484430e+04 6.0828002507585545e+04 5.5936065751634451e+04 5.1687177882932825e+04 4.8032426284384004e+04 4.4908313209482418e+04 4.2243470078848288e+04 3.9967754511062958e+04 3.8017988492841709e+04 3.6339279677606821e+04 3.4886476457243771e+04 3.3622887241383534e+04 3.2520259398236889e+04 3.1555360638903727e+04 3.0710816187692639e+04 2.9971507285749129e+04 2.9326622417626455e+04 2.8765840256998697e+04 2.8280614050957895e+04 2.7864249008728795e+04 2.7509854042682666e+04 2.7210682674343228e+04 2.6961697361490355e+04 2.6756770522227293e+04 2.6591121548752639e+04 2.6459378718104039e+04 2.6356721619738732e+04 2.6276724232933051e+04 2.6213207976171569e+04 2.6161331906852683e+04 2.6116624611353731e+04 2.6074890135859729e+04 2.6045505128062134e+04 2.6015881324841052e+04 2.5985674766350188e+04 2.5954043827604775e+04 2.5921415416937383e+04 2.5886874185121316e+04 2.5851461673579299e+04 2.5812193395749335e+04 2.5770167327281430e+04 2.5724610001688085e+04 2.5674917430097397e+04 2.5620355674049271e+04 2.5560097933410550e+04 2.5492980434495981e+04 2.5419029303160776e+04 2.5335606661085647e+04 2.5242074458062780e+04 2.5137075488193506e+04 2.5019149200925473e+04 2.4886789397716886e+04 2.4738485324903475e+04 2.4572589394192521e+04 2.4389222260139537e+04 2.4185322875054029e+04 2.3961529129622126e+04 2.3718358841651629e+04 2.3457719446762079e+04 2.3182856255222890e+04 2.2899946276572155e+04 2.2618202590398691e+04 2.2352584149801904e+04 2.2122151479527729e+04 2.1956492830261148e+04 2.1896924584188797e+04 2.2003423520259628e+04 2.2363335482073562e+04 2.3109018700056444e+04 2.4450014203776500e+04 2.6739220334958551e+04 2.1897089105940986e+03 +2.0889407061958735e+01 1.8398730203901310e+05 1.8396640274787007e+05 1.8393192603957426e+05 1.8388307253447495e+05 1.8382600938963192e+05 1.8377287902657498e+05 1.8373018647735068e+05 1.8368794555796112e+05 1.8363414699214371e+05 1.8356380514406078e+05 1.8347524362698465e+05 1.8336565177865233e+05 1.8323124810526788e+05 1.8306776318552578e+05 1.8287044744177093e+05 1.8263372167224385e+05 1.8235088310808956e+05 1.8201403682164213e+05 1.8161399336527250e+05 1.8114007713098620e+05 1.8057995639161914e+05 1.7991924825373071e+05 1.7913892635662991e+05 1.7820630988232393e+05 1.7708287752544665e+05 1.7575083777098276e+05 1.7419553032592346e+05 1.7239124289172134e+05 1.7030666779635509e+05 1.6790831506427540e+05 1.6516180272758286e+05 1.6203308070698820e+05 1.5849004222739811e+05 1.5450459530422292e+05 1.5005522129113867e+05 1.4512991527456150e+05 1.3972941552935346e+05 1.3387041961480584e+05 1.2758843631250375e+05 1.2093972900779148e+05 1.1347609188582523e+05 1.0580054622042728e+05 9.8055708919821176e+04 9.0396230433038480e+04 8.2977103609205325e+04 7.5940776031356771e+04 6.9405145582931349e+04 6.3454540942558568e+04 5.8135292953530021e+04 5.3456099374609614e+04 4.9393188517242124e+04 4.5899276623159960e+04 4.2913240915272247e+04 4.0366549154990716e+04 3.8191944915836961e+04 3.6328911967203210e+04 3.4724914514647768e+04 3.3336766600776209e+04 3.2129391818418950e+04 3.1075791158583601e+04 3.0153769554666978e+04 2.9346730990183703e+04 2.8640235675429281e+04 2.8023958318746507e+04 2.7488041355954512e+04 2.7024321771323455e+04 2.6626404973546592e+04 2.6287708494145547e+04 2.6001787144435420e+04 2.5763828039475047e+04 2.5567976653390568e+04 2.5409664455526738e+04 2.5283758099039711e+04 2.5185650475703736e+04 2.5109199989405839e+04 2.5048501697728771e+04 2.4998928419337630e+04 2.4956206471566758e+04 2.4916325933444288e+04 2.4888246476526747e+04 2.4859938896004045e+04 2.4831074479392486e+04 2.4800848980380408e+04 2.4769670332055157e+04 2.4736663919990671e+04 2.4702824677662120e+04 2.4665301185415712e+04 2.4625142436315724e+04 2.4581609330576626e+04 2.4534124715827027e+04 2.4481987263924242e+04 2.4424406911176731e+04 2.4360271658159480e+04 2.4289606145722257e+04 2.4209890155012745e+04 2.4120513791770907e+04 2.4020180153751433e+04 2.3907493585933098e+04 2.3781014813600628e+04 2.3639300209438839e+04 2.3480775454374030e+04 2.3305555530632679e+04 2.3110715835959560e+04 2.2896865731664791e+04 2.2664500028411807e+04 2.2415441410723495e+04 2.2152790993040064e+04 2.1882451327098486e+04 2.1613226193067279e+04 2.1359409598506983e+04 2.1139215567224750e+04 2.0980917506381738e+04 2.0923996076130257e+04 2.1025763043229439e+04 2.1369683309628967e+04 2.2082234167372171e+04 2.3363646362825042e+04 2.5551137795095456e+04 2.0860731455115510e+03 +2.0946035976016031e+01 1.7634007799224596e+05 1.7632001820729964e+05 1.7628695686831503e+05 1.7624009635208669e+05 1.7618533146661686e+05 1.7613429227733874e+05 1.7609321092990309e+05 1.7605252127534128e+05 1.7600071148509684e+05 1.7593299299060879e+05 1.7584774755580904e+05 1.7574227076949514e+05 1.7561292556694528e+05 1.7545560498680209e+05 1.7526573980569432e+05 1.7503796327137155e+05 1.7476582780075420e+05 1.7444173917608525e+05 1.7405685815691378e+05 1.7360091673848394e+05 1.7306205483283338e+05 1.7242644086134509e+05 1.7167577991257980e+05 1.7077864699359535e+05 1.6969799747634170e+05 1.6841673432286817e+05 1.6692078745749957e+05 1.6518546452730763e+05 1.6318070284695606e+05 1.6087435759766004e+05 1.5823344732383828e+05 1.5522533558679192e+05 1.5181928522529226e+05 1.4798845426646149e+05 1.4371235845356405e+05 1.3897969799994290e+05 1.3379145756057595e+05 1.2816398710678548e+05 1.2213172494730938e+05 1.1574903928103656e+05 1.0858621778097874e+05 1.0122254320268740e+05 9.3795098932228328e+04 8.6452326574941326e+04 7.9342779224311686e+04 7.2602759654196532e+04 6.6344842271053538e+04 6.0649288992580980e+04 5.5559884715357635e+04 5.1084369086554609e+04 4.7199451045554379e+04 4.3859429996679355e+04 4.1005475809321353e+04 3.8571785120616936e+04 3.6493872972381410e+04 3.4713776120919618e+04 3.3181216747599137e+04 3.1854890923265219e+04 3.0701267786030399e+04 2.9694547389453888e+04 2.8813526400835523e+04 2.8042353250295026e+04 2.7367237113324576e+04 2.6778317400877044e+04 2.6266179788475365e+04 2.5823028025872776e+04 2.5442754461738528e+04 2.5119071627079607e+04 2.4845822365477761e+04 2.4618408579668841e+04 2.4431236809837501e+04 2.4279941338412125e+04 2.4159616775806444e+04 2.4065860023677793e+04 2.3992801513965835e+04 2.3934798008060494e+04 2.3887426794731869e+04 2.3846603312943076e+04 2.3808495549572759e+04 2.3781664477778439e+04 2.3754615483673173e+04 2.3727034436284393e+04 2.3698152831987882e+04 2.3668360459971522e+04 2.3636821653560721e+04 2.3604486796014371e+04 2.3568631684178061e+04 2.3530258483535523e+04 2.3488660956095977e+04 2.3443287610719472e+04 2.3393468301677796e+04 2.3338448093033468e+04 2.3277164488991959e+04 2.3209640727051035e+04 2.3133469072352775e+04 2.3048066563519704e+04 2.2952193961232602e+04 2.2844517664242579e+04 2.2723662391055113e+04 2.2588248701183547e+04 2.2436772333036097e+04 2.2269342860815072e+04 2.2083166130472644e+04 2.1878824232819177e+04 2.1656789978746041e+04 2.1418805012971192e+04 2.1167832568464299e+04 2.0909512757723791e+04 2.0652257981889827e+04 2.0409726435673565e+04 2.0199322690094417e+04 2.0048062894970029e+04 1.9993672372296554e+04 2.0090914583960912e+04 2.0419543436427743e+04 2.1100412809784542e+04 2.2324850862643056e+04 2.4415081722431722e+04 1.9872984975386742e+03 +2.1002664890073326e+01 1.6900387340315958e+05 1.6898461942580139e+05 1.6895291630601083e+05 1.6890796980264384e+05 1.6885541547027795e+05 1.6880638596421268e+05 1.6876685708360796e+05 1.6872766422141404e+05 1.6867777289213656e+05 1.6861258384194440e+05 1.6853053516101808e+05 1.6842902485261354e+05 1.6830455490779714e+05 1.6815317487389798e+05 1.6797048926783013e+05 1.6775133598250806e+05 1.6748951326770757e+05 1.6717771655560928e+05 1.6680744392920690e+05 1.6636881998527906e+05 1.6585043886157186e+05 1.6523899990026589e+05 1.6451691248302720e+05 1.6365396083438949e+05 1.6261452239567693e+05 1.6138216844590832e+05 1.5994339613332233e+05 1.5827449391658755e+05 1.5634659621011920e+05 1.5412885107566856e+05 1.5158962236176044e+05 1.4869763048271072e+05 1.4542345142217635e+05 1.4174143967168508e+05 1.3763209815436587e+05 1.3308479551929302e+05 1.2810074157984863e+05 1.2269593839025764e+05 1.1690377987478729e+05 1.1077679643410254e+05 1.0390302626391686e+05 9.6838915478589726e+04 8.9716218480046722e+04 8.2677407042083927e+04 7.5864852257010993e+04 6.9408968257599758e+04 6.3417238524858883e+04 5.7966047161350420e+04 5.3096764268650208e+04 4.8816238161032743e+04 4.5101663544763469e+04 4.1908878072415857e+04 3.9181264442983818e+04 3.6855644503503623e+04 3.4870194599707240e+04 3.3169399952912710e+04 3.1705146133226302e+04 3.0437931073107906e+04 2.9335702744512353e+04 2.8373808021971705e+04 2.7531991770618803e+04 2.6795114035347946e+04 2.6150004253404313e+04 2.5587245951673554e+04 2.5097848414745458e+04 2.4674365923457186e+04 2.4310965082162402e+04 2.4001640392472666e+04 2.3740510045872637e+04 2.3523181289072927e+04 2.3344310255916847e+04 2.3199725175150470e+04 2.3084738642870110e+04 2.2995142675551644e+04 2.2925327867263037e+04 2.2869901259133956e+04 2.2824635715271968e+04 2.2785627555046529e+04 2.2749214896655663e+04 2.2723577504978530e+04 2.2697731942201150e+04 2.2671378021491444e+04 2.2643781416489139e+04 2.2615314567810608e+04 2.2585179046708512e+04 2.2554282654529525e+04 2.2520022807193407e+04 2.2483356904363671e+04 2.2443610129663644e+04 2.2400255528664322e+04 2.2352652771485398e+04 2.2300080510468772e+04 2.2241523580901187e+04 2.2177003894042238e+04 2.2104221247653746e+04 2.2022618442326471e+04 2.1931011374632733e+04 2.1828125777603313e+04 2.1712647558532273e+04 2.1583258650792857e+04 2.1438521777078553e+04 2.1278541355552828e+04 2.1100647942543521e+04 2.0905397562414346e+04 2.0693241990452054e+04 2.0465845383048527e+04 2.0226039134165178e+04 1.9979212418289091e+04 1.9733403406593508e+04 1.9501662358719368e+04 1.9300619847198417e+04 1.9156089871066320e+04 1.9104119337743447e+04 1.9197035087013435e+04 1.9511042659920353e+04 2.0161618964542482e+04 2.1331579716229535e+04 2.3328812379384231e+04 1.8931592724789077e+03 +2.1059293804130622e+01 1.6196636736243381e+05 1.6194788669700918e+05 1.6191748911779610e+05 1.6187437987015073e+05 1.6182394740103680e+05 1.6177685133668399e+05 1.6173881860943473e+05 1.6170106996177052e+05 1.6165302910300012e+05 1.6159027876326459e+05 1.6151131159928645e+05 1.6141362427205019e+05 1.6129385267834633e+05 1.6114819712515527e+05 1.6097242949246077e+05 1.6076158478514568e+05 1.6050969805495348e+05 1.6020974371509571e+05 1.5985354474221665e+05 1.5943160385840727e+05 1.5893295262778027e+05 1.5834480164020037e+05 1.5765023837794116e+05 1.5682021132984274e+05 1.5582046732650718e+05 1.5463522074331436e+05 1.5325151382014548e+05 1.5164657813228044e+05 1.4979269907203614e+05 1.4766026725475080e+05 1.4521893871339509e+05 1.4243873611765937e+05 1.3929149436179845e+05 1.3575271305062904e+05 1.3180383712345906e+05 1.2743486872352709e+05 1.2264722287849650e+05 1.1745655399612551e+05 1.1189523740277883e+05 1.0601402167074746e+05 9.9417981418293595e+04 9.2641595270262231e+04 8.5811486113628533e+04 7.9064386205399860e+04 7.2536732561917466e+04 6.6353296612984865e+04 6.0616693702330973e+04 5.5399610635142868e+04 5.0741127479917013e+04 4.6647264082015834e+04 4.3095704668773265e+04 4.0043781029517682e+04 3.7437011325074593e+04 3.5214742625887295e+04 3.3317706587663946e+04 3.1692736489825969e+04 3.0293790538952500e+04 2.9083091681021768e+04 2.8030002817543700e+04 2.7110967625715617e+04 2.6306637503011600e+04 2.5602552695818355e+04 2.4986135445268515e+04 2.4448393702156052e+04 2.3980741583647683e+04 2.3576068373059250e+04 2.3228802797093049e+04 2.2933208864443681e+04 2.2683667979353657e+04 2.2475983696741419e+04 2.2305050767109984e+04 2.2166882879508314e+04 2.2057001072669740e+04 2.1971383963655033e+04 2.1904670951001393e+04 2.1851708421371863e+04 2.1808456299337915e+04 2.1771183895962098e+04 2.1736392018454215e+04 2.1711895958870788e+04 2.1687201048762785e+04 2.1662020435696802e+04 2.1635652472254584e+04 2.1608453011818081e+04 2.1579659227345237e+04 2.1550138221026918e+04 2.1517403672814351e+04 2.1482370188903667e+04 2.1444392996477050e+04 2.1402968601700013e+04 2.1357485182809683e+04 2.1307253507406662e+04 2.1251303662999468e+04 2.1189656307656103e+04 2.1120114034817998e+04 2.1042144286072460e+04 2.0954615675760517e+04 2.0856310668919148e+04 2.0745973677959406e+04 2.0622345318496817e+04 2.0484052356657772e+04 2.0331194295146594e+04 2.0161220911037439e+04 1.9974663314040903e+04 1.9771953166389318e+04 1.9554680534570009e+04 1.9325550755768982e+04 1.9089713071974897e+04 1.8854847834688757e+04 1.8633424044419688e+04 1.8441332202717567e+04 1.8303236889528755e+04 1.8253580206857529e+04 1.8342359242585626e+04 1.8642386794837985e+04 1.9263998620993414e+04 2.0381871326775894e+04 2.2290184507242320e+04 1.8034401319322601e+03 +2.1115922718187917e+01 1.5521571153230011e+05 1.5519797641358097e+05 1.5516882930404352e+05 1.5512748351109395e+05 1.5507908882598125e+05 1.5503385227238669e+05 1.5499726094066587e+05 1.5496090582397449e+05 1.5491464971200624e+05 1.5485425043448564e+05 1.5477825350903635e+05 1.5468425059346316e+05 1.5456900654976760e+05 1.5442886689038834e+05 1.5425976471245714e+05 1.5405692485909502e+05 1.5381461046857823e+05 1.5352606464108478e+05 1.5318342325811810e+05 1.5277755319739200e+05 1.5229790724573331e+05 1.5173218826335677e+05 1.5106413657237974e+05 1.5026582157182143e+05 1.4930430866427734e+05 1.4816443101184434e+05 1.4683375464201375e+05 1.4529041794061445e+05 1.4350781286087836e+05 1.4145752412439568e+05 1.3911044884270692e+05 1.3643785945322161e+05 1.3341279767770387e+05 1.3001185899358342e+05 1.2621738715394653e+05 1.2201998452842300e+05 1.1742125262644919e+05 1.1243649903398150e+05 1.0709710594615326e+05 1.0145209467594535e+05 9.5122889956485567e+04 8.8622840463389221e+04 8.2073628190520743e+04 7.5606467786256486e+04 6.9352100638363001e+04 6.3429891566961538e+04 5.7937801193225321e+04 5.2944991472951391e+04 4.8488371109282692e+04 4.4573190633561891e+04 4.1177626272884998e+04 3.8260460661609410e+04 3.5769272447298514e+04 3.3645837499530695e+04 3.1833340813636922e+04 3.0280867281661358e+04 2.8944360680310030e+04 2.7787695307251553e+04 2.6781587781892613e+04 2.5903530697392816e+04 2.5135042110391190e+04 2.4462312414317628e+04 2.3873330388801140e+04 2.3359509573717431e+04 2.2912650959575294e+04 2.2525963979644064e+04 2.2194127876906448e+04 2.1911664245412758e+04 2.1673206092490465e+04 2.1474744636245370e+04 2.1311402741536433e+04 2.1179371436373127e+04 2.1074371069488308e+04 2.0992558709126177e+04 2.0928811687733432e+04 2.0878205272627099e+04 2.0836878297842330e+04 2.0801265515391526e+04 2.0768023299043180e+04 2.0744618480929625e+04 2.0721023721024823e+04 2.0696964917598616e+04 2.0671771668635851e+04 2.0645783968555173e+04 2.0618273026694969e+04 2.0590067046790537e+04 2.0558790849816003e+04 2.0525318135287609e+04 2.0489032855406025e+04 2.0449453947088186e+04 2.0405996845589991e+04 2.0358003024080663e+04 2.0304545833284472e+04 2.0245644747249640e+04 2.0179200623458990e+04 2.0104704471474310e+04 2.0021075309531501e+04 1.9927149844638654e+04 1.9821728426474372e+04 1.9703607777153033e+04 1.9571475892665494e+04 1.9425427589458570e+04 1.9263026613568451e+04 1.9084780261807002e+04 1.8891100966051486e+04 1.8683507954803492e+04 1.8464586041246712e+04 1.8239255065852678e+04 1.8014853263089059e+04 1.7803293899075175e+04 1.7619759869677717e+04 1.7487816792822632e+04 1.7440372399773561e+04 1.7525196287370462e+04 1.7811857421862635e+04 1.8405776060709173e+04 1.9473846932962206e+04 2.1297143438596053e+04 1.7179356246309526e+03 +2.1172551632245213e+01 1.4874051257426629e+05 1.4872348956587134e+05 1.4869554474363319e+05 1.4865589279506684e+05 1.4860945615280510e+05 1.4856600674088360e+05 1.4853080408493910e+05 1.4849579355912341e+05 1.4845125868729633e+05 1.4839312582094045e+05 1.4831999167837357e+05 1.4822953937865255e+05 1.4811865799353717e+05 1.4798383287994386e+05 1.4782115242581087e+05 1.4762602429359464e+05 1.4739293129519702e+05 1.4711537528819885e+05 1.4678579349538626e+05 1.4639540347177081e+05 1.4593406359714578e+05 1.4538995069828047e+05 1.4474743357742991e+05 1.4397966073396301e+05 1.4305496712840287e+05 1.4195878127716616e+05 1.4067917249111732e+05 1.3919515100199671e+05 1.3748117255137305e+05 1.3550996933322048e+05 1.3325363037297752e+05 1.3068462742142798e+05 1.2777715901327322e+05 1.2450886928722631e+05 1.2086295948938056e+05 1.1683060054570514e+05 1.1241356286571569e+05 1.0762680854771601e+05 1.0250075178679910e+05 9.7082739824031305e+04 9.1009887955713348e+04 8.4775221918477211e+04 7.8495666800952356e+04 7.2297133428705332e+04 6.6304896869293269e+04 6.0633141954112703e+04 5.5375378998630724e+04 5.0597409831457153e+04 4.6334084645230010e+04 4.2589940300443232e+04 3.9343646328726558e+04 3.6555393752213567e+04 3.4174749066063901e+04 3.2145823962986855e+04 3.0414158688880525e+04 2.8930997115985920e+04 2.7654185067481911e+04 2.6549177589585554e+04 2.5587986391016060e+04 2.4749107137300220e+04 2.4014886388328643e+04 2.3372135931710716e+04 2.2809385962189932e+04 2.2318437594247720e+04 2.1891461515362589e+04 2.1521973103239088e+04 2.1204891016163780e+04 2.0934983030137621e+04 2.0707122649432124e+04 2.0517480484548778e+04 2.0361397466667633e+04 2.0235234190881893e+04 2.0134901576539141e+04 2.0056727343170784e+04 1.9995816353153143e+04 1.9947462739096925e+04 1.9907976442358835e+04 1.9873950428886925e+04 1.9842189822996810e+04 1.9819828317731470e+04 1.9797285385496594e+04 1.9774299116682185e+04 1.9750228982925342e+04 1.9725399816620127e+04 1.9699115365724392e+04 1.9672166657880163e+04 1.9642284754116088e+04 1.9610304252347618e+04 1.9575636567946050e+04 1.9537822083457260e+04 1.9496302293779216e+04 1.9450448028990108e+04 1.9399373999992320e+04 1.9343098562239207e+04 1.9279616502329063e+04 1.9208441370577766e+04 1.9128540375139462e+04 1.9038802082442784e+04 1.8938080322406753e+04 1.8825225459181034e+04 1.8698984026466864e+04 1.8559446373257215e+04 1.8404285190407205e+04 1.8233985015486403e+04 1.8048939894741907e+04 1.7850601330157238e+04 1.7641438904907151e+04 1.7426153134299049e+04 1.7211755160738336e+04 1.7009626938276047e+04 1.6834274821826959e+04 1.6708213745991718e+04 1.6662884465688800e+04 1.6743926933162435e+04 1.7017808765803169e+04 1.7585250631674939e+04 1.8605707195903648e+04 2.0347721364675446e+04 1.6364497386405865e+03 +2.1229180546302509e+01 1.4252981361917977e+05 1.4251347756258762e+05 1.4248668477071793e+05 1.4244865729196518e+05 1.4240410144977234e+05 1.4236237105842473e+05 1.4232850610467471e+05 1.4229479264711257e+05 1.4225191764134035e+05 1.4219596944091772e+05 1.4212559431723508e+05 1.4203856346208684e+05 1.4193188556443734e+05 1.4180218065258491e+05 1.4164568669312837e+05 1.4145798739402476e+05 1.4123377712197098e+05 1.4096680691491038e+05 1.4064980418341418e+05 1.4027432415631876e+05 1.3983061573260609e+05 1.3930731205224938e+05 1.3868938690853579e+05 1.3795102758481217e+05 1.3706179132603115e+05 1.3600767942054555e+05 1.3477724472940757e+05 1.3335033565936275e+05 1.3170243055475998e+05 1.2980736419691086e+05 1.2763837023252901e+05 1.2516907122871984e+05 1.2237477451090229e+05 1.1923412761656314e+05 1.1573114976691773e+05 1.1185755030305247e+05 1.0761525204309975e+05 1.0301887340123202e+05 9.8097885352313620e+04 9.2898012891985854e+04 8.7071428083905426e+04 8.1091611252833201e+04 7.5070908145895766e+04 6.9130131703197490e+04 6.3389311169963468e+04 5.7957668897723932e+04 5.2924460675081871e+04 4.8352285531176662e+04 4.4274042459363845e+04 4.0693606967946973e+04 3.7590142119396944e+04 3.4925205712856121e+04 3.2650281731321589e+04 3.0711728052278020e+04 2.9057345826021356e+04 2.7640448942908803e+04 2.6420705153257513e+04 2.5365082585037238e+04 2.4446831884992476e+04 2.3645407905955391e+04 2.2943949200452294e+04 2.2329861443801237e+04 2.1792192216114374e+04 2.1323112977481054e+04 2.0915147685227887e+04 2.0562104075610758e+04 2.0259129604583140e+04 2.0001227323183390e+04 1.9783500608488674e+04 1.9602291550774738e+04 1.9453149534974353e+04 1.9332597285887128e+04 1.9236727930631660e+04 1.9162032375165763e+04 1.9103833054689949e+04 1.9057633382551452e+04 1.9019906939240453e+04 1.8987397987872166e+04 1.8957053880879841e+04 1.8935689830393581e+04 1.8914152490982840e+04 1.8892191610661721e+04 1.8869195222211853e+04 1.8845473662708388e+04 1.8820361785966394e+04 1.8794615090635954e+04 1.8766066189705147e+04 1.8735512306024677e+04 1.8702391110925942e+04 1.8666263489864254e+04 1.8626595851903945e+04 1.8582787093546882e+04 1.8533991465218369e+04 1.8480226265697791e+04 1.8419576063952598e+04 1.8351575967874942e+04 1.8275239257218662e+04 1.8189504078177215e+04 1.8093275390072711e+04 1.7985454841073322e+04 1.7864844926932627e+04 1.7731531737789173e+04 1.7583292103217565e+04 1.7420588809337296e+04 1.7243798324887288e+04 1.7054307402473198e+04 1.6854475460439528e+04 1.6648793329998938e+04 1.6443959437432412e+04 1.6250847791294393e+04 1.6083317928967930e+04 1.5962880294244906e+04 1.5919573148418138e+04 1.5997000417925241e+04 1.6258664698660532e+04 1.6800793651411168e+04 1.7775728922453880e+04 1.9440033752002779e+04 1.5587954735161643e+03 +2.1285809460359804e+01 1.3657308264250332e+05 1.3655740428463067e+05 1.3653171877442504e+05 1.3649524958122123e+05 1.3645250022135675e+05 1.3641242288825280e+05 1.3637984668195597e+05 1.3634738416171088e+05 1.3630610968122215e+05 1.3625226721291384e+05 1.3618455091331116e+05 1.3610081680862349e+05 1.3599818876274739e+05 1.3587341648651162e+05 1.3572288201654292e+05 1.3554233857122474e+05 1.3532668423840686e+05 1.3506990999931627e+05 1.3476502269545390e+05 1.3440390268589385e+05 1.3397717485087289e+05 1.3347391162051205e+05 1.3287966912957182e+05 1.3216963457305246e+05 1.3131454189059831e+05 1.3030094337933150e+05 1.2911785646070902e+05 1.2774593529474425e+05 1.2616164117410046e+05 1.2433986826932582e+05 1.2225494935957219e+05 1.1988161121710588e+05 1.1719622385160030e+05 1.1417839480953013e+05 1.1081292349943424e+05 1.0709202899515626e+05 1.0301777106564863e+05 9.8604426675136725e+04 9.3880547995071101e+04 8.8890288259833847e+04 8.3300267297622253e+04 7.7565169078580235e+04 7.1792931351418010e+04 6.6099467527094443e+04 6.0599773032810474e+04 5.5398316483221650e+04 5.0580286630170900e+04 4.6205229952018359e+04 4.2304196269277360e+04 3.8880448909423125e+04 3.5913643703927170e+04 3.3366664473487770e+04 3.1192844553065650e+04 2.9340701595520710e+04 2.7760206919171953e+04 2.6406659002432447e+04 2.5241470674632910e+04 2.4233058297322059e+04 2.3355857679781340e+04 2.2590240854378826e+04 2.1920103431666161e+04 2.1333418662087133e+04 2.0819728528231717e+04 2.0371558358923201e+04 1.9981769671566122e+04 1.9644449568073462e+04 1.9354964147266535e+04 1.9108541303611732e+04 1.8900504124228926e+04 1.8727358609860563e+04 1.8584853403165140e+04 1.8469666241829946e+04 1.8378064458780336e+04 1.8306695002149932e+04 1.8251088351191174e+04 1.8206948027828010e+04 1.8170904103831133e+04 1.8139845519684666e+04 1.8110855614788608e+04 1.8090445143825407e+04 1.8069869161632552e+04 1.8048888562380027e+04 1.8026918684193439e+04 1.8004256006779004e+04 1.7980265118999814e+04 1.7955667565863492e+04 1.7928393027734997e+04 1.7899203003956114e+04 1.7867560266796212e+04 1.7833045302689425e+04 1.7795148338888594e+04 1.7753295103647000e+04 1.7706677645102245e+04 1.7655312263997970e+04 1.7597369345136540e+04 1.7532404612896797e+04 1.7459475391931323e+04 1.7377567227158124e+04 1.7285633958048478e+04 1.7182626260794896e+04 1.7067400129017820e+04 1.6940037593034649e+04 1.6798415023648704e+04 1.6642974419348553e+04 1.6474075444627546e+04 1.6293042951086994e+04 1.6102131038408703e+04 1.5905630077832644e+04 1.5709939533954959e+04 1.5525447825360179e+04 1.5365396110868976e+04 1.5250334538093761e+04 1.5208960569226916e+04 1.5282931675178752e+04 1.5532915862436597e+04 1.6050845433803728e+04 1.6982261919674787e+04 1.8572275902177596e+04 1.4847944315410286e+03 +2.1342438374417100e+01 1.3086019027065118e+05 1.3084514409899114e+05 1.3082052040477571e+05 1.3078554934074503e+05 1.3074453410783903e+05 1.3070604597149817e+05 1.3067471127001975e+05 1.3064345514859003e+05 1.3060372381957030e+05 1.3055191086585463e+05 1.3048675665288244e+05 1.3040619893602531e+05 1.3030747246176581e+05 1.3018745181204511e+05 1.3004265778033814e+05 1.2986900679190886e+05 1.2966159309896563e+05 1.2941463871656550e+05 1.2912141954382608e+05 1.2877412897051955e+05 1.2836375383933228e+05 1.2787978945434629e+05 1.2730835245676745e+05 1.2662559247338543e+05 1.2580337617672552e+05 1.2482878590098895e+05 1.2369128535563385e+05 1.2237230323667558e+05 1.2084924560821247e+05 1.1909802445828143e+05 1.1709402794831006e+05 1.1481304226091299e+05 1.1223245582635138e+05 1.0933279461002174e+05 1.0609960207721581e+05 1.0252557974634776e+05 9.8612909859396183e+04 9.4375530559095176e+04 8.9841099254413421e+04 8.5052246583043394e+04 7.9689454996315428e+04 7.4189333680243231e+04 6.8655577705152406e+04 6.3199391986663271e+04 5.7930941952382731e+04 5.2950142792093415e+04 4.8338295755918523e+04 4.4152038246025462e+04 4.0420667897648746e+04 3.7146882050904234e+04 3.4310827640945790e+04 3.1876674616292577e+04 2.9799539696146418e+04 2.8030017023459783e+04 2.6520160828510765e+04 2.5227172146482346e+04 2.4114135180762634e+04 2.3150852383338071e+04 2.2312893229035530e+04 2.1581506721140293e+04 2.0941312103383061e+04 2.0380825031974218e+04 1.9890059911521490e+04 1.9461880182578716e+04 1.9089469899548512e+04 1.8767183104745662e+04 1.8490594828284855e+04 1.8255147831173541e+04 1.8056375189910850e+04 1.7890939574673055e+04 1.7754780089053722e+04 1.7644722673766079e+04 1.7557201210994794e+04 1.7489011854165423e+04 1.7435884007950091e+04 1.7393712525863746e+04 1.7359277129751405e+04 1.7329605102357065e+04 1.7301909798094341e+04 1.7282410930129794e+04 1.7262753984035411e+04 1.7242710510674111e+04 1.7221721952073589e+04 1.7200071540853802e+04 1.7177152289642629e+04 1.7153653296232987e+04 1.7127597018845710e+04 1.7099710812974445e+04 1.7069481446834507e+04 1.7036508144885007e+04 1.7000303904047832e+04 1.6960320103103051e+04 1.6915784921624963e+04 1.6866713717735151e+04 1.6811358898095066e+04 1.6749295902888905e+04 1.6679624162630855e+04 1.6601374534316925e+04 1.6513547585710709e+04 1.6415140862646404e+04 1.6305061499203974e+04 1.6183387655654047e+04 1.6048090846400666e+04 1.5899593204107856e+04 1.5738238328745749e+04 1.5565291895939956e+04 1.5382907323241399e+04 1.5195183346819895e+04 1.5008233628769040e+04 1.4831982385208586e+04 1.4679079605256464e+04 1.4569157421898448e+04 1.4529631522694403e+04 1.4600298616429849e+04 1.4839116907398580e+04 1.5333912435305385e+04 1.6223725975377527e+04 1.7742719649754206e+04 1.4142764272140089e+03 +2.1399067288474395e+01 1.2538140275515568e+05 1.2536696366570490e+05 1.2534335913578665e+05 1.2530982493243444e+05 1.2527047540336987e+05 1.2523351512219534e+05 1.2520337617141387e+05 1.2517328355035995e+05 1.2513503993297274e+05 1.2508518289784026e+05 1.2502249738477454e+05 1.2494499988094396e+05 1.2485003187853754e+05 1.2473458818981879e+05 1.2459532323708084e+05 1.2442831057538843e+05 1.2422883333035724e+05 1.2399133596081067e+05 1.2370935341779486e+05 1.2337538045357965e+05 1.2298075235508583e+05 1.2251537147228184e+05 1.2196589390152249e+05 1.2130939556987981e+05 1.2051883349253761e+05 1.1958179983411061e+05 1.1848818701104760e+05 1.1722016820037106e+05 1.1575605748513475e+05 1.1407274466864024e+05 1.1214663121936641e+05 1.0995451968393999e+05 1.0747477442334000e+05 1.0468879995943686e+05 1.0158284927311588e+05 9.8150080370275755e+04 9.4392784416453054e+04 9.0324563721082464e+04 8.5972204586358057e+04 8.1376862918913510e+04 7.6232321616613131e+04 7.0957810115646062e+04 6.5652940298356625e+04 6.0424392546812953e+04 5.5377698218447571e+04 5.0608411282172085e+04 4.6194117388258310e+04 4.2188681855104303e+04 3.8619742316870448e+04 3.5489473502977628e+04 3.2778510961758526e+04 3.0452271742790814e+04 2.8467592094879175e+04 2.6777062387375528e+04 2.5334735861539262e+04 2.4099637348309916e+04 2.3036451739813154e+04 2.2116308031501598e+04 2.1315860051559121e+04 2.0617195289793803e+04 2.0005624644363423e+04 1.9470182102710773e+04 1.9001333470608781e+04 1.8592265232501861e+04 1.8236469613938923e+04 1.7928555715826587e+04 1.7664298212073336e+04 1.7439345188903975e+04 1.7249430414459450e+04 1.7091366302059672e+04 1.6961274001278634e+04 1.6856121140166666e+04 1.6772500824406761e+04 1.6707351870319621e+04 1.6656593882096437e+04 1.6616304646388420e+04 1.6583406987717935e+04 1.6555060468647043e+04 1.6528602744590575e+04 1.6509975321281483e+04 1.6491196923342352e+04 1.6472049290072940e+04 1.6451998817951364e+04 1.6431316076327632e+04 1.6409421247244853e+04 1.6386972421880753e+04 1.6362080733415214e+04 1.6335440904353954e+04 1.6306562641702076e+04 1.6275063082483584e+04 1.6240476990081403e+04 1.6202280263798308e+04 1.6159735620608233e+04 1.6112857528513245e+04 1.6059976787218302e+04 1.6000687690614473e+04 1.5934129920106523e+04 1.5859377648538986e+04 1.5775476113235411e+04 1.5681467664813930e+04 1.5576308322659106e+04 1.5460072557992838e+04 1.5330822822472172e+04 1.5188962264408456e+04 1.5034819126990746e+04 1.4869602516915142e+04 1.4695369605197782e+04 1.4516035935547952e+04 1.4337441956940316e+04 1.4169068143425271e+04 1.4022999345482967e+04 1.3917990131102015e+04 1.3880230881033795e+04 1.3947739523117003e+04 1.4175883841145478e+04 1.4648564515565644e+04 1.5498607959754694e+04 1.6949710192624963e+04 1.3470791141856400e+03 +2.1455696202531691e+01 1.2012736185091449e+05 1.2011350482797387e+05 1.2009087763481995e+05 1.2005872343924828e+05 1.2002097346859238e+05 1.1998548154500857e+05 1.1995649420721298e+05 1.1992752368826825e+05 1.1989071424931684e+05 1.1984274206377992e+05 1.1978243511065823e+05 1.1970788569309479e+05 1.1961653807372879e+05 1.1950550281521904e+05 1.1937156302052666e+05 1.1921094351439562e+05 1.1901910926571273e+05 1.1879071889181876e+05 1.1851955674786377e+05 1.1819840769539874e+05 1.1781894243202567e+05 1.1737145509289275e+05 1.1684312093726682e+05 1.1621190736168329e+05 1.1545182085347101e+05 1.1455094393914155e+05 1.1349958082703609e+05 1.1228062024194800e+05 1.1087324890849917e+05 1.0925529595467696e+05 1.0740413569544312e+05 1.0529754567879120e+05 1.0291482541200900e+05 1.0023821977095450e+05 9.7254658233751266e+04 9.3957730608035548e+04 9.0349824312464538e+04 8.6444209138618593e+04 8.2266823543965336e+04 7.7857395292714675e+04 7.2922467651780506e+04 6.7864559727007261e+04 6.2779354060309641e+04 5.7769183633945147e+04 5.2935134062736346e+04 4.8368582501836958e+04 4.4143563580399707e+04 4.0311301322626605e+04 3.6897860968267240e+04 3.3904935348293977e+04 3.1313645383299194e+04 2.9090617066033326e+04 2.7194344379080889e+04 2.5579336576364563e+04 2.4201565243508670e+04 2.3021803391986450e+04 2.2006268818246095e+04 2.1127360005624250e+04 2.0362767918319336e+04 1.9695381700574508e+04 1.9111173311397470e+04 1.8599672043137871e+04 1.8151775000505389e+04 1.7760977303686912e+04 1.7421065612647653e+04 1.7126892725184589e+04 1.6874424077453838e+04 1.6659503956449800e+04 1.6478057929204591e+04 1.6327041526988316e+04 1.6202749896274394e+04 1.6102286118311893e+04 1.6022395513430107e+04 1.5960153300299520e+04 1.5911660933140900e+04 1.5873171095672227e+04 1.5841743449214697e+04 1.5814664034828351e+04 1.5789389341890987e+04 1.5771594945778401e+04 1.5753656363346770e+04 1.5735365074320909e+04 1.5716211329945574e+04 1.5696453594843086e+04 1.5675538020534383e+04 1.5654093069240624e+04 1.5630314624811879e+04 1.5604866221854247e+04 1.5577279494791679e+04 1.5547188703490314e+04 1.5514149418200202e+04 1.5477660977626600e+04 1.5437019111417338e+04 1.5392237447040465e+04 1.5341721706547944e+04 1.5285084212553666e+04 1.5221503122763690e+04 1.5150094016074367e+04 1.5069944830091485e+04 1.4980140744786991e+04 1.4879684507550422e+04 1.4768647073200262e+04 1.4645177807406368e+04 1.4509661717085826e+04 1.4362412365686578e+04 1.4204584784956045e+04 1.4038144142723282e+04 1.3866830866838898e+04 1.3696224236712300e+04 1.3535380557344679e+04 1.3395844443571823e+04 1.3295531594194719e+04 1.3259461102813420e+04 1.3323950543078314e+04 1.3541891484228143e+04 1.3993432308316347e+04 1.4805459043737019e+04 1.6191663049751172e+04 1.2830476288785685e+03 +2.1512325116588986e+01 1.1508907086929954e+05 1.1507577212432995e+05 1.1505408310934463e+05 1.1502325319559441e+05 1.1498703932309669e+05 1.1495295883435037e+05 1.1492508079429869e+05 1.1489719227216375e+05 1.1486176534200470e+05 1.1481560937586632e+05 1.1475759398301935e+05 1.1468588443960657e+05 1.1459802395992524e+05 1.1449123453372334e+05 1.1436242316781355e+05 1.1420796030837466e+05 1.1402348598733460e+05 1.1380386499202129e+05 1.1354312177747449e+05 1.1323432046441313e+05 1.1286945459456937e+05 1.1243919537666182e+05 1.1193121767234447e+05 1.1132434677423678e+05 1.1059359923925724e+05 1.0972752919993106e+05 1.0871683638429298e+05 1.0754509721291860e+05 1.0619233700028600e+05 1.0463728716632073e+05 1.0285825596772962e+05 1.0083395621227955e+05 9.8544583409141094e+04 9.5973186179779994e+04 9.3107338940813439e+04 8.9941039829420319e+04 8.6476760678956634e+04 8.2727442376117702e+04 7.8718198393532992e+04 7.4487373687455241e+04 6.9753753080973926e+04 6.4903790045460242e+04 6.0029386170471138e+04 5.5228697579039821e+04 5.0598545146812285e+04 4.6226306126078998e+04 4.2182621677917021e+04 3.8516199387939610e+04 3.5251615345653823e+04 3.2390118676754773e+04 2.9913311751853278e+04 2.7788992218936190e+04 2.5977252003336172e+04 2.4434444726757636e+04 2.3118382769492240e+04 2.1991514734893226e+04 2.1021526325482810e+04 2.0182030847663940e+04 1.9451711192716484e+04 1.8814222910439901e+04 1.8256169753863724e+04 1.7767554297463965e+04 1.7339685722088310e+04 1.6966354006970210e+04 1.6641627111788828e+04 1.6360590667321530e+04 1.6119392379077422e+04 1.5914064009342410e+04 1.5740714418969696e+04 1.5596435920324093e+04 1.5477689957886920e+04 1.5381709101605524e+04 1.5305384181062696e+04 1.5245920826805152e+04 1.5199594353918083e+04 1.5162824654314216e+04 1.5132802229856536e+04 1.5106934048921465e+04 1.5082790204309747e+04 1.5065792084789135e+04 1.5048656265858952e+04 1.5031183539012747e+04 1.5012886958293217e+04 1.4994013417862756e+04 1.4974033891030611e+04 1.4953548528293848e+04 1.4930834211001013e+04 1.4906524667827862e+04 1.4880172493243306e+04 1.4851428314459099e+04 1.4819867590555925e+04 1.4785012065585057e+04 1.4746189023265642e+04 1.4703411297524111e+04 1.4655156213386899e+04 1.4601053332655461e+04 1.4540317591734005e+04 1.4472104148801513e+04 1.4395541757688987e+04 1.4309756538130217e+04 1.4213795901953123e+04 1.4107727452167510e+04 1.3989783620532753e+04 1.3860332078632986e+04 1.3719672357828800e+04 1.3568907800732148e+04 1.3409915631140835e+04 1.3246268887216791e+04 1.3083297199902598e+04 1.2929651428303929e+04 1.2796359774771397e+04 1.2700536085278662e+04 1.2666079842071274e+04 1.2727683288056651e+04 1.2935871028327943e+04 1.3367204698013276e+04 1.4142892029173390e+04 1.5467061141515132e+04 1.2220342500599211e+03 +2.1568954030646282e+01 1.1025788247487813e+05 1.1024512177774569e+05 1.1022433157256084e+05 1.1019477250645639e+05 1.1016003310530624e+05 1.1012731002278018e+05 1.1010050027294140e+05 1.1007365490101953e+05 1.1003956061189143e+05 1.0999515459546975e+05 1.0993934679677204e+05 1.0987037270242325e+05 1.0978587080469192e+05 1.0968317034943296e+05 1.0955929763611776e+05 1.0941076328822893e+05 1.0923337586294769e+05 1.0902219861526246e+05 1.0877148712839864e+05 1.0847457432044178e+05 1.0812376446309348e+05 1.0771009165617407e+05 1.0722171151152623e+05 1.0663827485799449e+05 1.0593577033806268e+05 1.0510320562223838e+05 1.0413166030550520e+05 1.0300537169493688e+05 1.0170517092190596e+05 1.0021065607158735e+05 9.8501031935619321e+04 9.6555908400147193e+04 9.4356339409773660e+04 9.1886142253786282e+04 8.9133506126764376e+04 8.6092815181682949e+04 8.2766614615814207e+04 7.9167520292338071e+04 7.5319843151294292e+04 7.1260589443206118e+04 6.6720287194568038e+04 6.2069945077874385e+04 5.7397826835413049e+04 5.2798075907663027e+04 4.8363422378893454e+04 4.4177413302364403e+04 4.0307447185017045e+04 3.6799834353138125e+04 3.3677740833053103e+04 3.0942007857639801e+04 2.8574714708773568e+04 2.6544794270558396e+04 2.4813878571611011e+04 2.3340093815600409e+04 2.2083018631539944e+04 2.1006707536750047e+04 2.0080251817981647e+04 1.9278427233421633e+04 1.8580865318103741e+04 1.7971954295669526e+04 1.7438901716613022e+04 1.6972162375813394e+04 1.6563439149166108e+04 1.6206803702516499e+04 1.5896592736890769e+04 1.5628114328543710e+04 1.5397690331333981e+04 1.5201531639219476e+04 1.5035922272961134e+04 1.4898085265167396e+04 1.4784640994658990e+04 1.4692945813866050e+04 1.4620029646751684e+04 1.4563222803939856e+04 1.4518966817313565e+04 1.4483841430600616e+04 1.4455162248161876e+04 1.4430451854059796e+04 1.4407388940534149e+04 1.4391151942887187e+04 1.4374783444518585e+04 1.4358093138609902e+04 1.4340615875689957e+04 1.4322587490512178e+04 1.4303502680378679e+04 1.4283934543679203e+04 1.4262237369693990e+04 1.4239016402922072e+04 1.4213844272393306e+04 1.4186387250058322e+04 1.4156239805687765e+04 1.4122945099382305e+04 1.4085860573958442e+04 1.4044998314153883e+04 1.3998904073456450e+04 1.3947223897322872e+04 1.3889207877018358e+04 1.3824049002431595e+04 1.3750915041552966e+04 1.3668971246262654e+04 1.3577307718978123e+04 1.3475988867889831e+04 1.3363326510665589e+04 1.3239671754355419e+04 1.3105310717775988e+04 1.2961297336550359e+04 1.2809424773390254e+04 1.2653106067346904e+04 1.2497432221766856e+04 1.2350666559411802e+04 1.2223343659376424e+04 1.2131810923286146e+04 1.2098897653733226e+04 1.2157742527976197e+04 1.2356607692846779e+04 1.2768626398355538e+04 1.3509578786906632e+04 1.4774451987800770e+04 1.1638980736648773e+03 +2.1625582944703577e+01 1.0562548772669371e+05 1.0561324190236899e+05 1.0559331566961756e+05 1.0556497536474241e+05 1.0553165240012750e+05 1.0550023393744805e+05 1.0547445273719783e+05 1.0544861303438453e+05 1.0541580324292561e+05 1.0537308320031004e+05 1.0531940195844859e+05 1.0525306255393694e+05 1.0517179521095035e+05 1.0507303241146247e+05 1.0495391529563333e+05 1.0481108941831833e+05 1.0464052555857554e+05 1.0443747801234023e+05 1.0419642484054615e+05 1.0391095767320572e+05 1.0357367983325370e+05 1.0317597464195683e+05 1.0270646029187579e+05 1.0214558196079549e+05 1.0147026376231987e+05 1.0066994950197058e+05 9.9736083584601947e+04 9.8653538401724596e+04 9.7403919360868807e+04 9.5967656940325585e+04 9.4324816503624810e+04 9.2455868336271335e+04 9.0342688768079519e+04 8.7969830148371737e+04 8.5326067629004610e+04 8.2406150170299559e+04 7.9212686027794087e+04 7.5757970164087281e+04 7.2065533025826211e+04 6.8171085051066097e+04 6.3816418800955231e+04 5.9357695959544282e+04 5.4879680416767696e+04 5.0472660964505543e+04 4.6225444047098164e+04 4.2217909294699741e+04 3.8514356910825998e+04 3.5158813711562834e+04 3.2173110787428184e+04 2.9557715040398929e+04 2.7295177569597006e+04 2.5355530942210651e+04 2.3701891349865375e+04 2.2294088431672102e+04 2.1093395413648130e+04 2.0065405848713657e+04 1.9180556856031089e+04 1.8414736475034806e+04 1.7748483447104059e+04 1.7166886391363809e+04 1.6657729875914840e+04 1.6211900774243950e+04 1.5821478081906855e+04 1.5480802557270265e+04 1.5184467635809626e+04 1.4927993907661339e+04 1.4707869610013428e+04 1.4520476790391356e+04 1.4362266850711967e+04 1.4230587747247819e+04 1.4122211750406170e+04 1.4034613536198602e+04 1.3964955986245110e+04 1.3910688607141994e+04 1.3868411834144834e+04 1.3834858224612584e+04 1.3807462994860151e+04 1.3783859262374708e+04 1.3761829531733440e+04 1.3746320029091436e+04 1.3730684948835422e+04 1.3714742493502659e+04 1.3698048347504089e+04 1.3680827775027454e+04 1.3662598147398598e+04 1.3643906715211822e+04 1.3623181742900873e+04 1.3601001254720079e+04 1.3576957029071515e+04 1.3550730291374352e+04 1.3521933682167686e+04 1.3490130831348271e+04 1.3454708006455927e+04 1.3415676585088127e+04 1.3371647713299019e+04 1.3322283197229584e+04 1.3266866729711752e+04 1.3204627460806965e+04 1.3134770448855728e+04 1.3056498348879535e+04 1.2968942065878911e+04 1.2872162962953451e+04 1.2764548724135970e+04 1.2646434628952333e+04 1.2518093976232165e+04 1.2380533477637719e+04 1.2235465948892312e+04 1.2086151499342319e+04 1.1937453046632983e+04 1.1797263507944674e+04 1.1675645638277778e+04 1.1588214264221422e+04 1.1556775791840577e+04 1.1612983978472645e+04 1.1802938476189485e+04 1.2196495628559578e+04 1.2904247798133019e+04 1.4112445019274213e+04 1.1085047022007143e+03 +2.1682211858760873e+01 1.0118390044781075e+05 1.0117214927186517e+05 1.0115305011340516e+05 1.0112588013926276e+05 1.0109391798414532e+05 1.0106375251318904e+05 1.0103896154500623e+05 1.0101409141441486e+05 1.0098251962488149e+05 1.0094142381254351e+05 1.0088979091994124e+05 1.0082598899449127e+05 1.0074783655921178e+05 1.0065286546140953e+05 1.0053832738482485e+05 1.0040099776063715e+05 1.0023700351236764e+05 1.0004178281719227e+05 9.9810027873528656e+04 9.9535579300625453e+04 9.9211328216099937e+04 9.8828993986604983e+04 9.8377639875787267e+04 9.7838475355856543e+04 9.7189324720060758e+04 9.6420051146596510e+04 9.5522449369268361e+04 9.4482002030936375e+04 9.3281058464124362e+04 9.1900848573392723e+04 9.0322263721820171e+04 8.8526599360389097e+04 8.6496519612906661e+04 8.4217279691661170e+04 8.1678213168186907e+04 7.8874413657333658e+04 7.5808542871445447e+04 7.2492579211413307e+04 6.8949294253045737e+04 6.5213144328648996e+04 6.1036726801910438e+04 5.6761931961765113e+04 5.2470156898157009e+04 4.8247987860111585e+04 4.4180468257785324e+04 4.0343966415509836e+04 3.6799822384977917e+04 3.3589888028712536e+04 3.0734730856235899e+04 2.8234474875098142e+04 2.6072137408541665e+04 2.4218816016023960e+04 2.2639056959373400e+04 2.1294326716949490e+04 2.0147524248515656e+04 1.9165717956154975e+04 1.8320633507856139e+04 1.7589223164921797e+04 1.6952893206971323e+04 1.6397401762764293e+04 1.5911084803194581e+04 1.5485242019248828e+04 1.5112311721795721e+04 1.4786891721192584e+04 1.4503820708135694e+04 1.4258822291381952e+04 1.4048543667134425e+04 1.3869530408061790e+04 1.3718393858568390e+04 1.3592601354922228e+04 1.3489070323558049e+04 1.3405388541905886e+04 1.3338845978991341e+04 1.3287006090467336e+04 1.3246621217933292e+04 1.3214569999202147e+04 1.3188402008776615e+04 1.3165856035130822e+04 1.3144813815664094e+04 1.3129999643870566e+04 1.3115065554049395e+04 1.3099837882776499e+04 1.3083892227628545e+04 1.3067443749773664e+04 1.3050031490360836e+04 1.3032178003643918e+04 1.3012382246411418e+04 1.2991196231332971e+04 1.2968230039529606e+04 1.2943179188692293e+04 1.2915673686701513e+04 1.2885296728182133e+04 1.2851462129182257e+04 1.2814180599887244e+04 1.2772125775761864e+04 1.2724974531813910e+04 1.2672042676730211e+04 1.2612593921910820e+04 1.2545868967227665e+04 1.2471106217035967e+04 1.2387475573181540e+04 1.2295035496444620e+04 1.2192246171336095e+04 1.2079427754538237e+04 1.1956841291792243e+04 1.1825448358752245e+04 1.1686884976744403e+04 1.1544265087249592e+04 1.1402233605618401e+04 1.1268329428567935e+04 1.1152164338511182e+04 1.1068652982605934e+04 1.1038624096800659e+04 1.1092312177843225e+04 1.1273749998043369e+04 1.1649661883718041e+04 1.2325681795378929e+04 1.3479708997378979e+04 1.0557259480894579e+03 +2.1738840772818168e+01 9.6925444682060872e+04 9.6914168408178244e+04 9.6895863647613776e+04 9.6869816396723298e+04 9.6839159457077403e+04 9.6810198992653197e+04 9.6786361357463655e+04 9.6762425932739323e+04 9.6732047230364275e+04 9.6692516072652303e+04 9.6642856059765909e+04 9.6581497836401148e+04 9.6506344896682524e+04 9.6415024728082906e+04 9.6304895411777819e+04 9.6172857384231989e+04 9.6015187854436881e+04 9.5827501978732063e+04 9.5604698052569176e+04 9.5340856312426229e+04 9.5029144820788322e+04 9.4661606291746764e+04 9.4227732187418704e+04 9.3709467312260123e+04 9.3085502126379681e+04 9.2346103037234265e+04 9.1483401180344328e+04 9.0483465552510286e+04 8.9329360205732271e+04 8.8003082762969061e+04 8.6486317352969607e+04 8.4761150750468805e+04 8.2811001683025868e+04 8.0621797384121717e+04 7.8183403536556289e+04 7.5491239263051306e+04 7.2548010797161522e+04 6.9365384510164877e+04 6.5965394308577481e+04 6.2381282963287333e+04 5.8376011123015051e+04 5.4277751840708646e+04 5.0164663678652687e+04 4.6119776728283730e+04 4.2224525667780377e+04 3.8551917233534994e+04 3.5160463533040042e+04 3.2089945065808599e+04 2.9359733522002207e+04 2.6969639444061817e+04 2.4903140340195852e+04 2.3132364928076749e+04 2.1623237243486958e+04 2.0338796471832196e+04 1.9243501129290111e+04 1.8305832869346246e+04 1.7498750995011793e+04 1.6800225955264712e+04 1.6192493595815718e+04 1.5661952003173983e+04 1.5197464051719726e+04 1.4790723831861491e+04 1.4434512903424933e+04 1.4123674617862802e+04 1.3853281946890929e+04 1.3619252440141010e+04 1.3418385154470774e+04 1.3247381894049067e+04 1.3103006832483989e+04 1.2982841384485240e+04 1.2883941691011780e+04 1.2804003635482628e+04 1.2740438659052490e+04 1.2690919146685228e+04 1.2652342652454483e+04 1.2621727453234684e+04 1.2596732454966801e+04 1.2575197464980545e+04 1.2555099072847726e+04 1.2540949467942932e+04 1.2526685352665507e+04 1.2512140838577896e+04 1.2496910555734550e+04 1.2481200009512568e+04 1.2464568950453220e+04 1.2447516337396844e+04 1.2428608680181680e+04 1.2408373135735192e+04 1.2386437277982113e+04 1.2362510284580985e+04 1.2336238762268909e+04 1.2307224604733696e+04 1.2274907955996459e+04 1.2239298896360437e+04 1.2199130774550558e+04 1.2154094872492331e+04 1.2103537693688617e+04 1.2046755981684410e+04 1.1983024500821086e+04 1.1911615823004504e+04 1.1831737119859443e+04 1.1743444085970987e+04 1.1645266187638190e+04 1.1537509132463520e+04 1.1420422255185236e+04 1.1294923992601101e+04 1.1162576969537846e+04 1.1026355427071410e+04 1.0890695922709616e+04 1.0762799004111102e+04 1.0651845425260306e+04 1.0572080638884519e+04 1.0543398968260215e+04 1.0594678450050871e+04 1.0767976429045433e+04 1.1127023795400997e+04 1.1772715499000829e+04 1.2874969539006404e+04 1.0054395503348746e+03 +2.1795469686875464e+01 9.2842745601381306e+04 9.2831924988294108e+04 9.2814382625163678e+04 9.2789412488332862e+04 9.2760008508060579e+04 9.2732206058739626e+04 9.2709286429126310e+04 9.2686251935130262e+04 9.2657022930698848e+04 9.2618998948510591e+04 9.2571238998274770e+04 9.2512234021202588e+04 9.2439969258148078e+04 9.2352164254090094e+04 9.2246279487574051e+04 9.2119335706836326e+04 9.1967754757895062e+04 9.1787322123531761e+04 9.1573134445114745e+04 9.1319502543065202e+04 9.1019860968348366e+04 9.0666563545039360e+04 9.0249513676253846e+04 8.9751363592533045e+04 8.9151637141990315e+04 8.8440988414664971e+04 8.7611871554660058e+04 8.6650918917189294e+04 8.5541881173462432e+04 8.4267493168875473e+04 8.2810199854216407e+04 8.1152846824155669e+04 7.9279575568643733e+04 7.7176955800011914e+04 7.4835360181349839e+04 7.2250515156866022e+04 6.9425163174861926e+04 6.6370663278970984e+04 6.3108332486074672e+04 5.9670239409705959e+04 5.5829283987078852e+04 5.1900455515656744e+04 4.7958797680714226e+04 4.4083925282519856e+04 4.0353812499607680e+04 3.6838248048684989e+04 3.3593042601453657e+04 3.0656004136335610e+04 2.8045372864431811e+04 2.5760673396847618e+04 2.3785836991150947e+04 2.2093990539487047e+04 2.0652385301573013e+04 1.9425571417940020e+04 1.8379503370829174e+04 1.7484016956172101e+04 1.6713252473597415e+04 1.6046154467999157e+04 1.5465752004577362e+04 1.4959054853421974e+04 1.4515429361214578e+04 1.4126946406665114e+04 1.3786715438377181e+04 1.3489814344914490e+04 1.3231539887999181e+04 1.3007994879866965e+04 1.2816123451642889e+04 1.2652776665667319e+04 1.2514864722931996e+04 1.2400078046731485e+04 1.2305605332504128e+04 1.2229245791323880e+04 1.2168526965326259e+04 1.2121225366597140e+04 1.2084377357941858e+04 1.2055134693484328e+04 1.2031260801064742e+04 1.2010692056292910e+04 1.1991495710545061e+04 1.1977981248962942e+04 1.1964357443743629e+04 1.1950465838049260e+04 1.1935919252079240e+04 1.1920913963099230e+04 1.1905029512595147e+04 1.1888742316490903e+04 1.1870683435762849e+04 1.1851356276776763e+04 1.1830405131778976e+04 1.1807552233483590e+04 1.1782460052556678e+04 1.1754748353796707e+04 1.1723882441910335e+04 1.1689871802830219e+04 1.1651506843922958e+04 1.1608492620652241e+04 1.1560204972291906e+04 1.1505972211852708e+04 1.1445101659892123e+04 1.1376898542965617e+04 1.1300605650801734e+04 1.1216276041552646e+04 1.1122505385378015e+04 1.1019585584978786e+04 1.0907754782617279e+04 1.0787890186344148e+04 1.0661484274296272e+04 1.0531377772794734e+04 1.0401808105837355e+04 1.0279652460153120e+04 1.0173679636986450e+04 1.0097495529279355e+04 1.0070101420229796e+04 1.0119078950435378e+04 1.0284597504511601e+04 1.0627527079167103e+04 1.1244233445585411e+04 1.2297006741452222e+04 9.5752890392602842e+02 +2.1852098600932759e+01 8.8928716696646254e+04 8.8918332723370972e+04 8.8901522116934648e+04 8.8877585636137897e+04 8.8849384591519134e+04 8.8822694814664166e+04 8.8800659166497571e+04 8.8778492942865239e+04 8.8750371728210856e+04 8.8713799464425203e+04 8.8667869330128335e+04 8.8611130353302404e+04 8.8541646404541985e+04 8.8457225639478624e+04 8.8355427076423584e+04 8.8233387252961795e+04 8.8087667206991639e+04 8.7914216335189238e+04 8.7708322154034380e+04 8.7464517361148886e+04 8.7176492919373210e+04 8.6836901970775842e+04 8.6436044195589900e+04 8.5957252363211388e+04 8.5380852122261509e+04 8.4697870275427718e+04 8.3901071096542917e+04 8.2977628173146339e+04 8.1911951759886491e+04 8.0687484597560804e+04 7.9287401756836087e+04 7.7695276437212189e+04 7.5895942344340423e+04 7.3876583375600370e+04 7.1628055170656779e+04 6.9146374224233223e+04 6.6434311487208251e+04 6.3502923527303385e+04 6.0372830826982528e+04 5.7074966130644709e+04 5.3391761517684463e+04 4.9625536064437401e+04 4.5848337761822891e+04 4.2136501660706257e+04 3.8564683829025627e+04 3.5199592622883480e+04 3.2094458322571532e+04 2.9285210687538456e+04 2.6789019531955404e+04 2.4605149280463946e+04 2.2717978153972326e+04 2.1101599077955012e+04 1.9724541683238022e+04 1.8552807612166369e+04 1.7553786214296812e+04 1.6698610711480887e+04 1.5962551946081814e+04 1.5325486330277401e+04 1.4771201359827823e+04 1.4287291438327820e+04 1.3863603976044291e+04 1.3492569801280124e+04 1.3167611567081185e+04 1.2884031180091783e+04 1.2637339163343071e+04 1.2423815295666354e+04 1.2240542294609246e+04 1.2084513813817008e+04 1.1952779577888217e+04 1.1843134170725361e+04 1.1752892951526197e+04 1.1679953888458000e+04 1.1621955487310426e+04 1.1576773793296099e+04 1.1541577852182934e+04 1.1513647001005251e+04 1.1490844588150467e+04 1.1471199299764550e+04 1.1452865040983394e+04 1.1439957582164314e+04 1.1426945716114127e+04 1.1413678089148907e+04 1.1399784905961480e+04 1.1385453624743401e+04 1.1370282699583666e+04 1.1354727009752505e+04 1.1337479296844531e+04 1.1319020273467218e+04 1.1299010209398188e+04 1.1277183813977108e+04 1.1253218718872677e+04 1.1226751768137259e+04 1.1197272310874308e+04 1.1164789272227588e+04 1.1128147579850096e+04 1.1087065456830673e+04 1.1040946778326364e+04 1.0989150028058884e+04 1.0931013640229721e+04 1.0865874049140493e+04 1.0793008082998049e+04 1.0712466287324807e+04 1.0622907592968815e+04 1.0524610713542099e+04 1.0417803094779785e+04 1.0303322542743816e+04 1.0182594497048000e+04 1.0058332085129266e+04 9.9345824195790028e+03 9.8179136604131909e+03 9.7167009004009506e+03 9.6439388148225007e+03 9.6177752152714729e+03 9.6645527907848536e+03 9.8226366188691409e+03 1.0150162565462400e+04 1.0739167904547801e+04 1.1744652904086768e+04 9.1188280141497728e+02 +2.1908727514990055e+01 8.5176549101116689e+04 8.5166585906128137e+04 8.5150475833146091e+04 8.5127530499459710e+04 8.5100484068763224e+04 8.5074863823056236e+04 8.5053679246375672e+04 8.5032349776992545e+04 8.5005295889857749e+04 8.4970121836484846e+04 8.4925953760769291e+04 8.4871396638376915e+04 8.4804589965696316e+04 8.4723427189782058e+04 8.4625562150155893e+04 8.4508242815877049e+04 8.4368164167711220e+04 8.4201433336212067e+04 8.4003521512257998e+04 8.3769174879845508e+04 8.3492331103844379e+04 8.3165931281693891e+04 8.2780656280145238e+04 8.2320493503792793e+04 8.1766539965274103e+04 8.1110180765554178e+04 8.0344477924861014e+04 7.9457124974987717e+04 7.8433165745160091e+04 7.7256722669680239e+04 7.5911671432959469e+04 7.4382282863514032e+04 7.2654053581155356e+04 7.0714754572023696e+04 6.8555701527993573e+04 6.6173184596736202e+04 6.3569996080218363e+04 6.0756895051949155e+04 5.7753825390925260e+04 5.4590621167175581e+04 5.1058855661496462e+04 4.7448672025070555e+04 4.3829237417837488e+04 4.0273737547846031e+04 3.6853647135147148e+04 3.3632726157932579e+04 3.0661740311355541e+04 2.7974831097754133e+04 2.5588155914655290e+04 2.3500743057423260e+04 2.1697410616543992e+04 2.0153186243759279e+04 1.8837830736726068e+04 1.7718740006292199e+04 1.6764679569484408e+04 1.5948025657461949e+04 1.5245131298528308e+04 1.4636764330174792e+04 1.4107437382736660e+04 1.3645303615382572e+04 1.3240670072361352e+04 1.2886311431994704e+04 1.2575949514180596e+04 1.2305100188600152e+04 1.2069478153267113e+04 1.1865532223343043e+04 1.1690477500555324e+04 1.1541443856269023e+04 1.1415614320189336e+04 1.1310883001037739e+04 1.1224686288902752e+04 1.1155016537470648e+04 1.1099618302558445e+04 1.1056462767990921e+04 1.1022845802675452e+04 1.0996168688534177e+04 1.0974390292293263e+04 1.0955627537686598e+04 1.0938117149940535e+04 1.0925789781385110e+04 1.0913362721850686e+04 1.0900691406534497e+04 1.0887422654190534e+04 1.0873735495136831e+04 1.0859246456102586e+04 1.0844389841627280e+04 1.0827917329315824e+04 1.0810287948371617e+04 1.0791177237703545e+04 1.0770331830057838e+04 1.0747443845871747e+04 1.0722166451162439e+04 1.0694011971925234e+04 1.0662988804260238e+04 1.0627993969077215e+04 1.0588758277355029e+04 1.0544712397033940e+04 1.0495243644760823e+04 1.0439720188825238e+04 1.0377508287537152e+04 1.0307917296958192e+04 1.0230995367990879e+04 1.0145461877956377e+04 1.0051582940151789e+04 9.9495757780345284e+03 9.8402405427568719e+03 9.7249386078430998e+03 9.6062611595930339e+03 9.4880734363265965e+03 9.3766482795998236e+03 9.2799845222017284e+03 9.2104927266707855e+03 9.1855050745982699e+03 9.2301802407479190e+03 9.3811589976121777e+03 9.6939643106207532e+03 1.0256496879549402e+04 1.1216790342512186e+04 8.6839518613048131e+02 +2.1965356429047350e+01 8.1579700409069905e+04 8.1570139943067639e+04 8.1554702640303745e+04 8.1532709310088539e+04 8.1506771362212501e+04 8.1482178502135415e+04 8.1461813181100006e+04 8.1441290076923542e+04 8.1415264466089953e+04 8.1381436998990204e+04 8.1338965631498388e+04 8.1286509211710087e+04 8.1222279972507880e+04 8.1144253453163736e+04 8.1050174731799780e+04 8.0937399008667548e+04 8.0802750148409876e+04 8.0642487059220162e+04 8.0452257667112455e+04 8.0227013556610589e+04 7.9960929738183637e+04 7.9647224317625907e+04 7.9276944810430403e+04 7.8834708302186074e+04 7.8302353843918012e+04 7.7671610956809047e+04 7.6935827501416206e+04 7.6083196473399454e+04 7.5099370257379982e+04 7.3969123863268367e+04 7.2677005234520984e+04 7.1207954045054590e+04 6.9548101724010194e+04 6.7685780398996576e+04 6.5612743923369577e+04 6.3325540532403335e+04 6.0826977256996477e+04 5.8127520770163632e+04 5.5246457853378626e+04 5.2212560027671148e+04 4.8826166417903609e+04 4.5365719992025392e+04 4.1897617768362565e+04 3.8492021565250689e+04 3.5217356103103375e+04 3.2134559510915886e+04 2.9292043684178458e+04 2.6722247681492765e+04 2.4440371511219579e+04 2.2445229804552113e+04 2.0722073160092095e+04 1.9246833473329796e+04 1.7990457105712678e+04 1.6921679146259456e+04 1.6010584889665559e+04 1.5230741370242040e+04 1.4559537458351848e+04 1.3978593688279620e+04 1.3473115959453286e+04 1.3031791431438096e+04 1.2645366289965435e+04 1.2306943671350164e+04 1.2010531143460272e+04 1.1751848927981677e+04 1.1526806734802416e+04 1.1332014835024134e+04 1.1164814785569195e+04 1.1022466582588684e+04 1.0902280615315716e+04 1.0802246084712631e+04 1.0719915025567034e+04 1.0653369995949875e+04 1.0600456902330339e+04 1.0559237863491426e+04 1.0527129966432629e+04 1.0501651045105200e+04 1.0480851273254197e+04 1.0462931916075519e+04 1.0446208852230498e+04 1.0434435836870969e+04 1.0422567636269712e+04 1.0410466174013975e+04 1.0397794146086959e+04 1.0384722528976064e+04 1.0370885118921100e+04 1.0356696565262177e+04 1.0340964857332145e+04 1.0324128307032955e+04 1.0305877044873478e+04 1.0285969097981633e+04 1.0264110432695077e+04 1.0239969812777787e+04 1.0213081520314596e+04 1.0183453452335598e+04 1.0150032402532903e+04 1.0112561215125654e+04 1.0070496162027099e+04 1.0023252113500748e+04 9.9702256525742614e+03 9.9108115382704218e+03 9.8443502099543548e+03 9.7708875364518390e+03 9.6892006506993639e+03 9.5995436285302167e+03 9.5021239246776186e+03 9.3977057061362721e+03 9.2875891229925001e+03 9.1742488309722248e+03 9.0613762627984852e+03 8.9549620507610507e+03 8.8626454544341486e+03 8.7962788444494599e+03 8.7724149611649664e+03 8.8150810025654155e+03 8.9592699438340078e+03 9.2580077849276713e+03 9.7952421914057868e+03 1.0712349292060771e+04 8.2696491651288250e+02 +2.2021985343104646e+01 7.8131886845874265e+04 7.8122713956489155e+04 7.8107921160076497e+04 7.8086840264522019e+04 7.8061966740952746e+04 7.8038361132371705e+04 7.8018784266415780e+04 7.7999038204202749e+04 7.7974003188421528e+04 7.7941472506140286e+04 7.7900634821756408e+04 7.7850200844280072e+04 7.7788452766983697e+04 7.7713445136086477e+04 7.7623010816743539e+04 7.7514608192739790e+04 7.7385185136485379e+04 7.7231146594240709e+04 7.7048310540214079e+04 7.6831826167520994e+04 7.6576096818140228e+04 7.6274607059013011e+04 7.5918757051004868e+04 7.5493769522607050e+04 7.4982197309893440e+04 7.4376100993583052e+04 7.3669102828500312e+04 7.2849875572198362e+04 7.1904656098409119e+04 7.0818845920007181e+04 6.9577637992593052e+04 6.8166613198978535e+04 6.6572510822561075e+04 6.4784199287970674e+04 6.2793849708124420e+04 6.0598253634389468e+04 5.8200226703690016e+04 5.5609948376618857e+04 5.2846067419785046e+04 4.9936327883804057e+04 4.6689474364689173e+04 4.3372707497108160e+04 4.0049760813154695e+04 3.6787892918391139e+04 3.3652604669950153e+04 3.0702133637930907e+04 2.7982643891743221e+04 2.5524953894258473e+04 2.3343358481756084e+04 2.1436479585152701e+04 1.9789992719029724e+04 1.8380704354504309e+04 1.7180702368170150e+04 1.6160008005802631e+04 1.5289972173647438e+04 1.4545302627531528e+04 1.3904379667913641e+04 1.3349639440463525e+04 1.2866950618796511e+04 1.2445510683000046e+04 1.2076485364837523e+04 1.1753291543625366e+04 1.1470209708418790e+04 1.1223155246597584e+04 1.1008224121655190e+04 1.0822180814977894e+04 1.0662487671297835e+04 1.0526528986933796e+04 1.0411736826338887e+04 1.0316191244496793e+04 1.0237554770863744e+04 1.0173996169062777e+04 1.0123458201820362e+04 1.0084089902099273e+04 1.0053424213738363e+04 1.0029090364640844e+04 1.0009225806941366e+04 9.9921124205096348e+03 9.9761417306238309e+03 9.9648984563810463e+03 9.9535643013849531e+03 9.9420073902234435e+03 9.9299055914426899e+03 9.9174221854520256e+03 9.9042074699728109e+03 9.8906573181783770e+03 9.8756335220308574e+03 9.8595545997921072e+03 9.8421246256868653e+03 9.8231125152968143e+03 9.8022374660851310e+03 9.7791831470337020e+03 9.7535048201620302e+03 9.7252099118449423e+03 9.6932927698815947e+03 9.6575077411881266e+03 9.6173355648112920e+03 9.5722174411957840e+03 9.5215771065057597e+03 9.4648365549833597e+03 9.4013659279756794e+03 9.3312089195006174e+03 9.2531978453746906e+03 9.1675752819984027e+03 9.0745393491011437e+03 8.9748198272676746e+03 8.8696583614947831e+03 8.7614182509953807e+03 8.6536248389318698e+03 8.5519990841404615e+03 8.4638366307241504e+03 8.4004564449462068e+03 8.3776664327677809e+03 8.4184125561918991e+03 8.5561131562794544e+03 8.8414081345795548e+03 9.3544676391833382e+03 1.0230305896700518e+04 7.8749554107759195e+02 +2.2078614257161941e+01 7.4827071684409704e+04 7.4818269627507005e+04 7.4804095266014381e+04 7.4783889820672353e+04 7.4760037942496157e+04 7.4737380842316066e+04 7.4718562862849314e+04 7.4699565511742781e+04 7.4675484732515455e+04 7.4644202797684906e+04 7.4604938015042193e+04 7.4556451012581820e+04 7.4497091276670792e+04 7.4424989381907028e+04 7.4338062657678456e+04 7.4233868769624169e+04 7.4109474899049339e+04 7.3961426499368186e+04 7.3785705150105481e+04 7.3577650144734507e+04 7.3331884472741367e+04 7.3042149001573212e+04 7.2700183049189945e+04 7.2291791833230629e+04 7.1800214756489353e+04 7.1217830597956345e+04 7.0538525002974959e+04 6.9751431539146753e+04 6.8843348422331343e+04 6.7800278601303056e+04 6.6608033864013822e+04 6.5252809768844556e+04 6.3721927602841839e+04 6.2004768301239455e+04 6.0093900281576316e+04 5.7986344396190194e+04 5.5684919235273628e+04 5.3199522314248665e+04 5.0548183044862235e+04 4.7757652062657151e+04 4.4644733469233026e+04 4.1465826163635102e+04 3.8282102949769651e+04 3.5158035291867309e+04 3.2156321304494304e+04 2.9332614258163612e+04 2.6730931757990471e+04 2.4380549729608374e+04 2.2294907379805882e+04 2.0472453488105504e+04 1.8899280696708982e+04 1.7553041187402108e+04 1.6406921812244120e+04 1.5432178949047919e+04 1.4601377090072663e+04 1.3890316672566771e+04 1.3278326869327033e+04 1.2748623927318446e+04 1.2287710112825958e+04 1.1885270576113655e+04 1.1532871858272050e+04 1.1224230514515169e+04 1.0953887694699943e+04 1.0717945171968267e+04 1.0512676792443815e+04 1.0334994322455939e+04 1.0182475477112710e+04 1.0052623285338428e+04 9.9429860523157586e+03 9.8517306348947095e+03 9.7766251331108560e+03 9.7159206918023810e+03 9.6676526318679880e+03 9.6300530545574129e+03 9.6007656327730256e+03 9.5775260550956482e+03 9.5585551982925590e+03 9.5422119921996928e+03 9.5269602549505762e+03 9.5162231863975321e+03 9.5053993492230093e+03 9.4943627941239138e+03 9.4828058883852118e+03 9.4708845583847851e+03 9.4582648689972375e+03 9.4453247574803700e+03 9.4309774195678237e+03 9.4156224628935597e+03 9.3989772858716824e+03 9.3808212087528700e+03 9.3608860722683512e+03 9.3388697883295281e+03 9.3143476655787344e+03 9.2873266865088863e+03 9.2568466319320814e+03 9.2226728438947030e+03 9.1843094414809275e+03 9.1412227854415250e+03 9.0928625585917707e+03 9.0386767803439488e+03 8.9780639731480151e+03 8.9110657585120189e+03 8.8365671753632632e+03 8.7547998149825526e+03 8.6659528768690470e+03 8.5707232829978384e+03 8.4702967727356172e+03 8.3669302364761497e+03 8.2639903063158090e+03 8.1669402547961245e+03 8.0827473704953536e+03 8.0222209182680172e+03 8.0004570625725755e+03 8.0393685720694211e+03 8.1708691161788392e+03 8.4433185147321874e+03 8.9332772365301425e+03 9.7696802802007005e+03 7.4989508353600627e+02 +2.2135243171219237e+01 7.1659454031911926e+04 7.1651009123703756e+04 7.1637427199641199e+04 7.1618062069740976e+04 7.1595190536323542e+04 7.1573444586117723e+04 7.1555356971965215e+04 7.1537080959963758e+04 7.1513919334833321e+04 7.1483839814418898e+04 7.1446089317710561e+04 7.1399476521535311e+04 7.1342415641091560e+04 7.1273110402604099e+04 7.1189559401551145e+04 7.1089415824921700e+04 7.0969861634967645e+04 7.0827577462967660e+04 7.0658702286076543e+04 7.0458758264434815e+04 7.0222579669009749e+04 6.9944153880431244e+04 6.9615546382688291e+04 6.9223122582024138e+04 6.8750782228806667e+04 6.8191209920088935e+04 6.7538544114198332e+04 6.6782360960577877e+04 6.5909997754819138e+04 6.4908034783580311e+04 6.3762877514397260e+04 6.2461310708669058e+04 6.0991212868267903e+04 5.9342454667177655e+04 5.7507982778774873e+04 5.5485034061743376e+04 5.3276424850417578e+04 5.0891776046314830e+04 4.8348515945698382e+04 4.5672434824421442e+04 4.2688064174870837e+04 3.9641425124963869e+04 3.6591228743076201e+04 3.3599270983374969e+04 3.0725563512691933e+04 2.8023286729242296e+04 2.5534408716804639e+04 2.3286737300964716e+04 2.1292903056677984e+04 1.9551199827520333e+04 1.8048129430640973e+04 1.6762161685406398e+04 1.5667541343498700e+04 1.4736710817101357e+04 1.3943398219178180e+04 1.3264450589884022e+04 1.2680105196109283e+04 1.2174324386400876e+04 1.1734216096320657e+04 1.1349931481950925e+04 1.1013419978862497e+04 1.0718684371071675e+04 1.0460514750719172e+04 1.0235190885492199e+04 1.0039156503701633e+04 9.8694640375323415e+03 9.7238013944879258e+03 9.5997850141061372e+03 9.4950742470101322e+03 9.4079188777766303e+03 9.3361878690932026e+03 9.2782110897674756e+03 9.2321123085700074e+03 9.1962030167326338e+03 9.1682327118380526e+03 9.1460388250029082e+03 9.1279219713687035e+03 9.1123147212070016e+03 9.0977499781580173e+03 9.0874966102662383e+03 9.0771604019783081e+03 9.0666210672543202e+03 9.0555848277406003e+03 9.0442005829158788e+03 9.0321494626396216e+03 9.0197922714253909e+03 9.0060913153428501e+03 8.9914281356065221e+03 8.9755328624110662e+03 8.9581947580762408e+03 8.9391577444479099e+03 8.9181333431316289e+03 8.8947160169664530e+03 8.8689123298639133e+03 8.8398054678656390e+03 8.8071712826055009e+03 8.7705362337055194e+03 8.7293907235621518e+03 8.6832092280475281e+03 8.6314646345609181e+03 8.5735825837564353e+03 8.5096027221427248e+03 8.4384604600711882e+03 8.3603768953430135e+03 8.2755327038264622e+03 8.1845934098108628e+03 8.0886913326616123e+03 7.9899816850245497e+03 7.8916794434480753e+03 7.7990016561759630e+03 7.7186018485110080e+03 7.6608022488522392e+03 7.6400189241823082e+03 7.6771773889111100e+03 7.8027535400644583e+03 8.0629284907501051e+03 8.5308135201444275e+03 9.3295346962686872e+03 7.1407583762309969e+02 +2.2191872085276533e+01 6.8623464961658698e+04 6.8615361207851573e+04 6.8602348134968968e+04 6.8583788991106499e+04 6.8561858787314544e+04 6.8540988008950575e+04 6.8523603159586302e+04 6.8506022070118546e+04 6.8483745748173023e+04 6.8454823954153209e+04 6.8418531218718534e+04 6.8373722467884945e+04 6.8318874178273632e+04 6.8252260450022077e+04 6.8171958066518564e+04 6.8075712111818342e+04 6.7960814966412407e+04 6.7824077304662831e+04 6.7661789520873092e+04 6.7469649672804720e+04 6.7242695254459381e+04 6.6975150732035894e+04 6.6659395244125088e+04 6.6282332908557932e+04 6.5828498568314200e+04 6.5290870722203217e+04 6.4663830475196482e+04 6.3937379026054325e+04 6.3099371341085302e+04 6.2136941879982143e+04 6.1037065624934767e+04 5.9787092088735277e+04 5.8375433218386497e+04 5.6792427628405094e+04 5.5031382066466969e+04 5.3089736789569062e+04 5.0970301084380240e+04 4.8682424620114914e+04 4.6242952399054469e+04 4.3676746414931593e+04 4.0815746752502193e+04 3.7896004697003162e+04 3.4973864936917198e+04 3.2108555267776072e+04 2.9357512559763723e+04 2.6771551126555496e+04 2.4390682239385776e+04 2.2241316600968308e+04 2.0335320730832671e+04 1.8670850496160714e+04 1.7234808801567218e+04 1.6006455810412959e+04 1.4961054518431603e+04 1.4072186133664947e+04 1.3314694407205730e+04 1.2666428788455503e+04 1.2108495567471306e+04 1.1625570642793617e+04 1.1205340901187401e+04 1.0838402784209509e+04 1.0517071493712087e+04 1.0235623188515752e+04 9.9890857030722855e+03 9.7739087801694404e+03 9.5866983842521076e+03 9.4246412873257705e+03 9.2855306402060723e+03 9.1670912061497856e+03 9.0670884147003235e+03 8.9838512743590836e+03 8.9153451094432967e+03 8.8599750153091481e+03 8.8159492781002991e+03 8.7816552610678064e+03 8.7549435960093961e+03 8.7337489443511222e+03 8.7164481336600729e+03 8.7015441136719382e+03 8.6876358063787338e+03 8.6778446201455536e+03 8.6679743459720212e+03 8.6579101096808026e+03 8.6473713711750497e+03 8.6365003157387000e+03 8.6249924669567699e+03 8.6131922642295758e+03 8.6001089314724468e+03 8.5861067504938401e+03 8.5709280168211972e+03 8.5543714925071090e+03 8.5361926430181957e+03 8.5161159941459155e+03 8.4937543096316622e+03 8.4691137587943576e+03 8.4413189942732115e+03 8.4101559129357702e+03 8.3751723209578395e+03 8.3358815927436699e+03 8.2917818941147398e+03 8.2423698741055450e+03 8.1870970839670535e+03 8.1260012881795110e+03 8.0580660203113939e+03 7.9835023545834274e+03 7.9024828224588073e+03 7.8156429474521747e+03 7.7240640056457687e+03 7.6298040557105423e+03 7.5359331650421000e+03 7.4474331171133745e+03 7.3706576271113609e+03 7.3154635587010916e+03 7.2956171388740786e+03 7.3311005538235941e+03 7.4510158960816862e+03 7.6994625050109262e+03 8.1462559276067541e+03 8.9089717544843515e+03 6.7995417120055390e+02 +2.2248500999333828e+01 6.5713752583532085e+04 6.5705977132492728e+04 6.5693509906473904e+04 6.5675723095601614e+04 6.5654696041782910e+04 6.5634666449865850e+04 6.5617957845994810e+04 6.5601046205567414e+04 6.5579622523705795e+04 6.5551815356370571e+04 6.5516925878931121e+04 6.5473853532356276e+04 6.5421134680506126e+04 6.5357111116059546e+04 6.5279934847367986e+04 6.5187439362893478e+04 6.5077023258386915e+04 6.4945622304292818e+04 6.4789672550692419e+04 6.4605041239613551e+04 6.4386961325982345e+04 6.4129885281334595e+04 6.3826493850713297e+04 6.3464209180337974e+04 6.3028176881403830e+04 6.2511657885935412e+04 6.1909266174126402e+04 6.1211411133006259e+04 6.0406444811988476e+04 5.9482033577378519e+04 5.8425698712589976e+04 5.7225331010791619e+04 5.5869853074356637e+04 5.4350050593492881e+04 5.2659573038299008e+04 5.0796052110180004e+04 4.8762285649275851e+04 4.6567357511501279e+04 4.4227546811479311e+04 4.1766818383989470e+04 3.9024214907512658e+04 3.6226210295477315e+04 3.3426874699423752e+04 3.0682970981950970e+04 2.8049468400898066e+04 2.5574917518078928e+04 2.3297461444594959e+04 2.1242181431726945e+04 1.9420222216738337e+04 1.7829617467314423e+04 1.6457662980665715e+04 1.5284382737496893e+04 1.4286019699258286e+04 1.3437248425018501e+04 1.2713982229360943e+04 1.2095030587868474e+04 1.1562331381270864e+04 1.1101242894547668e+04 1.0700005402195218e+04 1.0349640814851948e+04 1.0042813725160575e+04 9.7740613804424065e+03 9.5386386532940796e+03 9.3331575978956553e+03 9.1543791077341339e+03 8.9996182488976101e+03 8.8667686853744581e+03 8.7536586421321554e+03 8.6581548800171713e+03 8.5786620906115204e+03 8.5132376567793617e+03 8.4603585560458014e+03 8.4183138334767555e+03 8.3855633598354489e+03 8.3600544154309082e+03 8.3398145768432896e+03 8.3232935116359549e+03 8.3090614302262820e+03 8.2957803399324475e+03 8.2864307599237709e+03 8.2770056764214478e+03 8.2673953867163054e+03 8.2573319998259594e+03 8.2469512859012830e+03 8.2359625203966225e+03 8.2246945113482543e+03 8.2122013045283293e+03 8.1988306938170226e+03 8.1843365984579359e+03 8.1685268573022895e+03 8.1511679655144962e+03 8.1319968740845306e+03 8.1106438319084955e+03 8.0871146362799273e+03 8.0605735532896524e+03 8.0308160808138146e+03 7.9974104212259854e+03 7.9598918981764373e+03 7.9177813127708323e+03 7.8705980177323290e+03 7.8178183203933786e+03 7.7594781918415674e+03 7.6946071395492099e+03 7.6234066633508110e+03 7.5460415128662844e+03 7.4631185465064100e+03 7.3756702695574158e+03 7.2856619121174645e+03 7.1960250830182740e+03 7.1115167796678243e+03 7.0382042487730660e+03 6.9854997104686909e+03 6.9665484824414980e+03 7.0004314223907513e+03 7.1149379811454110e+03 7.3521784066380278e+03 7.7788192418011940e+03 8.5071327190393022e+03 6.4745033922303253e+02 +2.2305129913391124e+01 6.2925179342897376e+04 6.2917718639373117e+04 6.2905774071270258e+04 6.2888728893071791e+04 6.2868568157938505e+04 6.2849346706003234e+04 6.2833288918966166e+04 6.2817022169272444e+04 6.2796419611377765e+04 6.2769685505806519e+04 6.2736146738111245e+04 6.2694745589523540e+04 6.2644076027270516e+04 6.2582544949910880e+04 6.2508376737874423e+04 6.2419489918833759e+04 6.2313385255119407e+04 6.2187118847285630e+04 6.2037266851514745e+04 6.1859859227219909e+04 6.1650316914399504e+04 6.1403311644826128e+04 6.1111814168238401e+04 6.0763744742479947e+04 6.0344836320401599e+04 5.9848621230215525e+04 5.9269936936403028e+04 5.8599584799714714e+04 5.7826394156593138e+04 5.6938541878658885e+04 5.5924073252146751e+04 5.4771397823217987e+04 5.3469927000521442e+04 5.2010873580577056e+04 5.0388213197558136e+04 4.8599757666417237e+04 4.6648289351551066e+04 4.4542631740072182e+04 4.2298515053635419e+04 3.9939037158945488e+04 3.7310049633247683e+04 3.4628826589343960e+04 3.1947252092757753e+04 2.9319723323075261e+04 2.6798844812881933e+04 2.4431001427885305e+04 2.2252552885480858e+04 2.0287315499108445e+04 1.8545752306220482e+04 1.7025789438748183e+04 1.5715107309402705e+04 1.4594467943529688e+04 1.3641057325216643e+04 1.2830599649871510e+04 1.2140033556600156e+04 1.1549087903596015e+04 1.1040496301487974e+04 1.0600269588775025e+04 1.0217176970247730e+04 9.8826468744646099e+03 9.5896776299099765e+03 9.3330558290225526e+03 9.1082531528258387e+03 8.9120366433457984e+03 8.7413151402247313e+03 8.5935262260046056e+03 8.4666595571728121e+03 8.3586421734919531e+03 8.2674376288783606e+03 8.1915229131043989e+03 8.1290433538869074e+03 8.0785446129607362e+03 8.0383929005066038e+03 8.0071173772504244e+03 7.9827576822415667e+03 7.9634301807230231e+03 7.9476541547193292e+03 7.9340640926382457e+03 7.9213822825375782e+03 7.9124546362207675e+03 7.9034549102664332e+03 7.8942783435534493e+03 7.8846691309524786e+03 7.8747569133499701e+03 7.8642641044906068e+03 7.8535045823127339e+03 7.8415752107921444e+03 7.8288080333523585e+03 7.8149680751172009e+03 7.7998718473505342e+03 7.7832963835284008e+03 7.7649905063208926e+03 7.7446011698079510e+03 7.7221338206456994e+03 7.6967905668709436e+03 7.6683760824979972e+03 7.6364780574260385e+03 7.6006527867330251e+03 7.5604426983519597e+03 7.5153888372563451e+03 7.4649911630078514e+03 7.4092839378090011e+03 7.3473405884141348e+03 7.2793534695715625e+03 7.2054798957350531e+03 7.1262993372500678e+03 7.0427977013910131e+03 6.9568515252274601e+03 6.8712601266071406e+03 6.7905657354593186e+03 6.7205618864577164e+03 6.6702359679146120e+03 6.6521400493107030e+03 6.6844938162758126e+03 6.7938325565919395e+03 7.0203660416526818e+03 7.4277520992589516e+03 8.1231958774727718e+03 6.1648830517318424e+02 +2.2361758827448419e+01 6.0252809368673603e+04 6.0245651374945272e+04 6.0234208119722214e+04 6.0217873687514657e+04 6.0198544316867861e+04 6.0180099180306221e+04 6.0164667663299115e+04 6.0149022109428261e+04 6.0129210268820061e+04 6.0103509144230331e+04 6.0071270429494405e+04 6.0031477624307081e+04 5.9982780104937272e+04 5.9923647381818329e+04 5.9852373459504422e+04 5.9766958663452126e+04 5.9665002022251036e+04 5.9543675375790954e+04 5.9399689640298035e+04 5.9229231264530157e+04 5.9027901973137406e+04 5.8790584336668267e+04 5.8510527938299274e+04 5.8176131970235139e+04 5.7773694166351001e+04 5.7297007630162188e+04 5.6741124285873426e+04 5.6097221876254713e+04 5.5354587990940374e+04 5.4501889438429775e+04 5.3527674090071698e+04 5.2420848624863887e+04 5.1171292311640194e+04 4.9770625942798993e+04 4.8213135517659721e+04 4.6496802226679618e+04 4.4624389276920949e+04 4.2604465245779567e+04 4.0452228048400240e+04 3.8189937864942483e+04 3.5669973301373582e+04 3.3100771881145178e+04 3.0532116759516994e+04 2.8016134851624003e+04 2.5603164718798322e+04 2.3337519480707211e+04 2.1253856505193526e+04 1.9374788665009582e+04 1.7710135296896173e+04 1.6257728613456296e+04 1.5005625306956090e+04 1.3935300415036229e+04 1.3024847295720489e+04 1.2250997734656063e+04 1.1591673222559082e+04 1.1027483027343589e+04 1.0541922136721350e+04 1.0121625385230836e+04 9.7558675097467749e+03 9.4364653340866571e+03 9.1567359569696619e+03 8.9117040921081916e+03 8.6970484529681908e+03 8.5096840712332778e+03 8.3466610599351498e+03 8.2055339967835735e+03 8.0843842105041676e+03 7.9812331144402679e+03 7.8941367176917583e+03 7.8216410725150618e+03 7.7619755189609941e+03 7.7137513451666982e+03 7.6754084902060731e+03 7.6455423278143799e+03 7.6222807535442298e+03 7.6038249753754717e+03 7.5887608049012861e+03 7.5757841561092982e+03 7.5636749160372983e+03 7.5551503948227592e+03 7.5465570643255669e+03 7.5377948852217596e+03 7.5286195996725173e+03 7.5191549926445123e+03 7.5091360295659197e+03 7.4988623284810192e+03 7.4874716563033726e+03 7.4752810109132761e+03 7.4620660282059998e+03 7.4476515052521581e+03 7.4318245440446044e+03 7.4143453096728426e+03 7.3948767157990196e+03 7.3734238786022088e+03 7.3492250547144258e+03 7.3220936879539622e+03 7.2916360869894434e+03 7.2574285833836184e+03 7.2190342678073266e+03 7.1760149104135035e+03 7.1278930677078179e+03 7.0747013735389201e+03 7.0155552099080178e+03 6.9506381967763518e+03 6.8801005448942060e+03 6.8044955574936703e+03 6.7247646211521615e+03 6.6426995338711922e+03 6.5609732192363745e+03 6.4839227180748994e+03 6.4170800495183739e+03 6.3690267115169554e+03 6.3517479716192256e+03 6.3826407360819585e+03 6.4870420399795630e+03 6.7033459011593450e+03 7.0923355598853577e+03 7.7563749764551503e+03 5.8699557058815003e+02 +2.2418387741505715e+01 5.7691904209521148e+04 5.7685036130138433e+04 5.7674073221144608e+04 5.7658421410220537e+04 5.7639889489332112e+04 5.7622189975643538e+04 5.7607360965812317e+04 5.7592313725886881e+04 5.7573263269595329e+04 5.7548556479926141e+04 5.7517568989446940e+04 5.7479323944707226e+04 5.7432524022437268e+04 5.7375698942863870e+04 5.7307209686181333e+04 5.7225135254043977e+04 5.7127169184466868e+04 5.7010594634782537e+04 5.6872252131989633e+04 5.6708478615704735e+04 5.6515049661474266e+04 5.6287050568705730e+04 5.6017998998711118e+04 5.5696754613303994e+04 5.5310158202710969e+04 5.4852253425967116e+04 5.4318297995072047e+04 5.3699831042926700e+04 5.2986580112512420e+04 5.2167682182943012e+04 5.1232167140088641e+04 5.0169418047446889e+04 4.8969761955981950e+04 4.7625209366400333e+04 4.6130341570510180e+04 4.4483298961275446e+04 4.2686822233103921e+04 4.0749230516805954e+04 3.8685205604226256e+04 3.6516198382294460e+04 3.4100843980746817e+04 3.1639092706188345e+04 2.9178708817260613e+04 2.6769640691665856e+04 2.4460055698668053e+04 2.2292285220822243e+04 2.0299361755531707e+04 1.8502753351112879e+04 1.6911671661660424e+04 1.5523867611815262e+04 1.4327765799991099e+04 1.3305529970605376e+04 1.2436126461020898e+04 1.1697254210153242e+04 1.1067776786227969e+04 1.0529146498666478e+04 1.0065586805994779e+04 9.6643292035821705e+03 9.3151315768131444e+03 9.0101818151365314e+03 8.7431014815598592e+03 8.5091426841938428e+03 8.3041818269387459e+03 8.1252752441610819e+03 7.9696079460519086e+03 7.8348462294741312e+03 7.7191589666837062e+03 7.6206577002145341e+03 7.5374867481012179e+03 7.4682581320726040e+03 7.4112814453706560e+03 7.3652306788335300e+03 7.3286162149679158e+03 7.3000966981412175e+03 7.2778843577029065e+03 7.2602614711850438e+03 7.2458774294848699e+03 7.2334868444704107e+03 7.2219246379441211e+03 7.2137852598572144e+03 7.2055801961449424e+03 7.1972139191174301e+03 7.1884532033141268e+03 7.1794162391080517e+03 7.1698499828300928e+03 7.1600404331662030e+03 7.1491644291744378e+03 7.1375245969960743e+03 7.1249067099590920e+03 7.1111434813277783e+03 7.0960316324449323e+03 7.0793421648720678e+03 7.0607532389959861e+03 7.0402696596153091e+03 7.0171642133455325e+03 6.9912587251732984e+03 6.9621772919697223e+03 6.9295153879868612e+03 6.8928558448495951e+03 6.8517802333748577e+03 6.8058326981138243e+03 6.7550443213634480e+03 6.6985705629622144e+03 6.6365867002060295e+03 6.5692361570343637e+03 6.4970472368558467e+03 6.4209187915978782e+03 6.3425616603262861e+03 6.2645280099700331e+03 6.1909588494185873e+03 6.1271363429674620e+03 6.0812542070193294e+03 6.0647561911119201e+03 6.0942531272819097e+03 6.1939372508254692e+03 6.4004678252647700e+03 6.7718817356772352e+03 7.4059177221083655e+03 5.5890301231682793e+02 +2.2475016655563010e+01 5.5237912468889277e+04 5.5231322709277978e+04 5.5220821051609717e+04 5.5205822864834510e+04 5.5188056685307791e+04 5.5171073144363720e+04 5.5156823803631050e+04 5.5142352763545081e+04 5.5124035396742591e+04 5.5100285683182585e+04 5.5070502353297903e+04 5.5033746679919976e+04 5.4988772612965702e+04 5.4934167770082400e+04 5.4868357554316455e+04 5.4789496637415636e+04 5.4695369448335834e+04 5.4583366203162674e+04 5.4450452079994255e+04 5.4293108732941335e+04 5.4107278911075053e+04 5.3888242833945493e+04 5.3629775886416333e+04 5.3321180422763631e+04 5.2949819370949204e+04 5.2509977112519853e+04 5.1997108814574909e+04 5.1403100586095483e+04 5.0718102330875525e+04 4.9931702203821675e+04 4.9033392350082868e+04 4.8013012307425270e+04 4.6861317663968548e+04 4.5570691130752661e+04 4.4135994913720657e+04 4.2555518972769358e+04 4.0831978440962215e+04 3.8973448460751184e+04 3.6994110484293975e+04 3.4914633632939454e+04 3.2599649976599536e+04 3.0240958642376332e+04 2.7884383953590710e+04 2.5577783921055820e+04 2.3367245678749176e+04 2.1293205098514583e+04 1.9387143872202752e+04 1.7669441088584641e+04 1.6148734853808162e+04 1.4822706509854132e+04 1.3680140170190662e+04 1.2703864693133492e+04 1.1873686216021706e+04 1.1168231945366610e+04 1.0567268386892621e+04 1.0053055064319329e+04 9.6105123882587286e+03 9.2274423511746045e+03 8.8940645750363365e+03 8.6029214443605033e+03 8.3479253117259777e+03 8.1245454281426919e+03 7.9288469610921247e+03 7.7580211581710391e+03 7.6093818341281767e+03 7.4807019634518956e+03 7.3702340165624264e+03 7.2761756089527598e+03 7.1967554046559871e+03 7.1306484384106116e+03 7.0762409633487978e+03 7.0322668776031342e+03 6.9973038659475842e+03 6.9700710298227987e+03 6.9488611814160513e+03 6.9320340600052014e+03 6.9182998143685045e+03 6.9064691458394782e+03 6.8954295593454008e+03 6.8876581333055492e+03 6.8798240051024277e+03 6.8718359577112060e+03 6.8634713058119360e+03 6.8548428949761656e+03 6.8457091363973714e+03 6.8363430215107237e+03 6.8259587115982486e+03 6.8148451050674303e+03 6.8027976601870760e+03 6.7896566530177042e+03 6.7752279948848045e+03 6.7592930400894993e+03 6.7415445143436282e+03 6.7219869290391034e+03 6.6999260537096870e+03 6.6751917228288949e+03 6.6474250274306514e+03 6.6162397299557470e+03 6.5812375217790277e+03 6.5420188905089990e+03 6.4981486042776060e+03 6.4496562670335534e+03 6.3957356219161211e+03 6.3365539783290069e+03 6.2722482763334365e+03 6.2033229354625382e+03 6.1306361716701995e+03 6.0558214789700432e+03 5.9813156572817825e+03 5.9110724377607066e+03 5.8501352779228237e+03 5.8063274247789941e+03 5.7905752816924623e+03 5.8187386970254593e+03 5.9139162080840824e+03 6.1111097604417773e+03 6.4657324759819285e+03 7.0711043421926388e+03 5.3214472716291925e+02 +2.2531645569620306e+01 5.2886464786078999e+04 5.2880141499929021e+04 5.2870081789485077e+04 5.2855710618076904e+04 5.2838679604002595e+04 5.2822383614230792e+04 5.2808691948271844e+04 5.2794775780211261e+04 5.2777164212307427e+04 5.2754335657330026e+04 5.2725711126955626e+04 5.2690388554674086e+04 5.2647171211463603e+04 5.2594702387932193e+04 5.2531469448615462e+04 5.2455699841231894e+04 5.2365265400554374e+04 5.2257659300179788e+04 5.2129966592305791e+04 5.1978808083723772e+04 5.1800287267064814e+04 5.1589871763625953e+04 5.1341584713503435e+04 5.1045154049663121e+04 5.0688444696892424e+04 5.0265972298633373e+04 4.9773381471300483e+04 4.9202891442213062e+04 4.8545057564108072e+04 4.7789900916049439e+04 4.6927356931061935e+04 4.5947702516975784e+04 4.4842103353922852e+04 4.3603297621588114e+04 4.2226414726295996e+04 4.0709885070689917e+04 3.9056395465655798e+04 3.7273782509316887e+04 3.5375742703298296e+04 3.3382190086948489e+04 3.1163504581532863e+04 2.8903657322789069e+04 2.6646608714200134e+04 2.4438211144165427e+04 2.2322558792808384e+04 2.0338274617633178e+04 1.8515360300288001e+04 1.6873159207694662e+04 1.5419768242445880e+04 1.4152809998786392e+04 1.3061419714570047e+04 1.2129068467764931e+04 1.1336370193170469e+04 1.0662842974820325e+04 1.0089118687470174e+04 9.5982297217849336e+03 9.1757632524904948e+03 8.8100667280791549e+03 8.4918010256216039e+03 8.2138471808060531e+03 7.9703952649063049e+03 7.7571218751169345e+03 7.5702724125679315e+03 7.4071669332813935e+03 7.2652422351559853e+03 7.1423731530755231e+03 7.0368919854625301e+03 6.9470785445944457e+03 6.8712420528924458e+03 6.8081177322753438e+03 6.7561650610404758e+03 6.7141751720661732e+03 6.6807900492730660e+03 6.6547865608425545e+03 6.6345345152417622e+03 6.6184676639177669e+03 6.6053542154050938e+03 6.5940584663494310e+03 6.5835181607536197e+03 6.5760982523641869e+03 6.5686184912719773e+03 6.5609917790128748e+03 6.5530054997750440e+03 6.5447673931759691e+03 6.5360468128286311e+03 6.5271043278899033e+03 6.5171897492418184e+03 6.5065788631345322e+03 6.4950763801473768e+03 6.4825298013551301e+03 6.4687538175666887e+03 6.4535396733811258e+03 6.4365940084641625e+03 6.4179210578196280e+03 6.3968580951699823e+03 6.3732426090563786e+03 6.3467319255996244e+03 6.3169572785300461e+03 6.2835383765634870e+03 6.2460937791158167e+03 6.2042079559651365e+03 6.1579091024691588e+03 6.1064275298106513e+03 6.0499229376433850e+03 5.9885260717690207e+03 5.9227185346729339e+03 5.8533197214163811e+03 5.7818892357723907e+03 5.7107536630962913e+03 5.6436878254529183e+03 5.5855071311979609e+03 5.5436809079173636e+03 5.5286413206404650e+03 5.5555307798993881e+03 5.6464029773173943e+03 5.8346765682801106e+03 6.1732581071184431e+03 6.7512462076722522e+03 5.0665788358386953e+02 +2.2588274483677601e+01 5.0633364149077584e+04 5.0627298030830672e+04 5.0617661639731064e+04 5.0603891707466551e+04 5.0587565739361307e+04 5.0571930103986087e+04 5.0558775002832706e+04 5.0545393180058294e+04 5.0528461092295220e+04 5.0506519075006319e+04 5.0479009624523562e+04 5.0445065929654440e+04 5.0403538698500801e+04 5.0353124755379118e+04 5.0292371054092786e+04 5.0219575031432440e+04 5.0132692571682914e+04 5.0029315857044559e+04 4.9906645212631185e+04 4.9761435243087879e+04 4.9589943993276313e+04 4.9387819247957901e+04 4.9149322306865208e+04 4.8864590207132351e+04 4.8521970479567892e+04 4.8116200928117607e+04 4.7643107926951852e+04 4.7095230499934522e+04 4.6463513192424864e+04 4.5738392471060244e+04 4.4910228839525997e+04 4.3969718245732067e+04 4.2908418784676396e+04 4.1719408088620694e+04 4.0398069685316215e+04 3.8942965782706218e+04 3.7356752378374709e+04 3.5647032948348540e+04 3.3827034043497726e+04 3.1915940481614580e+04 2.9789641030535087e+04 2.7624589643537212e+04 2.5462955976648409e+04 2.3348668240374125e+04 2.1323911408863678e+04 1.9425574638132392e+04 1.7682247264504193e+04 1.6112287662236275e+04 1.4723282173015195e+04 1.3512804660923926e+04 1.2470333114432262e+04 1.1579958621157877e+04 1.0823072050469664e+04 1.0180046415517607e+04 9.6323429028321589e+03 9.1637338435888450e+03 8.7604442650205019e+03 8.4113431062994750e+03 8.1075129091557128e+03 7.8421582119278783e+03 7.6097343115673439e+03 7.4061157896502027e+03 7.2277201306908792e+03 7.0719903664696249e+03 6.9364807159570491e+03 6.8191632716449949e+03 6.7184465574700216e+03 6.6326888784153853e+03 6.5602763954232287e+03 6.5000018166672198e+03 6.4503945626812019e+03 6.4103004460015591e+03 6.3784228786269505e+03 6.3535939231694238e+03 6.3342569551050619e+03 6.3189164398420580e+03 6.3063960656354911e+03 6.2956113395178409e+03 6.2855480035652272e+03 6.2784639023411537e+03 6.2713226698253629e+03 6.2640411424101994e+03 6.2564163239430427e+03 6.2485510763550838e+03 6.2402252058808608e+03 6.2316874183811487e+03 6.2222215757006579e+03 6.2120909402355164e+03 6.2011090613504384e+03 6.1891303421922530e+03 6.1759778606428736e+03 6.1614523095537625e+03 6.1452736198942375e+03 6.1274457663246076e+03 6.1073361134813149e+03 6.0847894640887616e+03 6.0594786536865213e+03 6.0310516064108697e+03 5.9991452429986794e+03 5.9633953869511215e+03 5.9234053283521844e+03 5.8792019205045044e+03 5.8300504031914888e+03 5.7761032085765282e+03 5.7174851650461314e+03 5.6546560778682406e+03 5.5883982563660638e+03 5.5202007166609774e+03 5.4522847550650768e+03 5.3882542843700203e+03 5.3327068521254396e+03 5.2927736873152398e+03 5.2784148065525960e+03 5.3040872505550478e+03 5.3908465655763612e+03 5.5705988834972504e+03 5.8938562241189074e+03 6.4456845113833288e+03 4.8238258013027894e+02 +2.2644903397734897e+01 4.8474583340755322e+04 4.8468762963098212e+04 4.8459533340683141e+04 4.8446339919204947e+04 4.8430689738289911e+04 4.8415688780127683e+04 4.8403049747484365e+04 4.8390182503854041e+04 4.8373904518989671e+04 4.8352815670711228e+04 4.8326379163658370e+04 4.8293762099320629e+04 4.8253860801210423e+04 4.8205423570682200e+04 4.8147054664874333e+04 4.8077118826313716e+04 4.7993652756940886e+04 4.7894343844926691e+04 4.7776503257531112e+04 4.7637014241552555e+04 4.7472283433117642e+04 4.7278131812126507e+04 4.7049049601756989e+04 4.6775567085404873e+04 4.6446495732424715e+04 4.6056786751949803e+04 4.5602440887060962e+04 4.5076304151949858e+04 4.4469694659618719e+04 4.3773447415831368e+04 4.2978330503125995e+04 4.2075441323633953e+04 4.1056713447469469e+04 3.9915548638481385e+04 3.8647572074006763e+04 3.7251469592868983e+04 3.5729864141111575e+04 3.4090131465483930e+04 3.2345042781807329e+04 3.0513078744749277e+04 2.8475407652818394e+04 2.6401265159653944e+04 2.4331100602909090e+04 2.2306996281597400e+04 2.0369308314791597e+04 1.8553267827509761e+04 1.6886116478265380e+04 1.5385275983020878e+04 1.4057851148105679e+04 1.2901376357445235e+04 1.1905664008454143e+04 1.1055403658119196e+04 1.0332733350882365e+04 9.7188464699477099e+03 9.1959989095523524e+03 8.7486713791726124e+03 8.3636990709569072e+03 8.0304494801377386e+03 7.7404080758209275e+03 7.4870884160925780e+03 7.2651990832744805e+03 7.0708036975431341e+03 6.9004840396097006e+03 6.7518005445314520e+03 6.6224195382811913e+03 6.5104059732613841e+03 6.4142411566887758e+03 6.3323583468319775e+03 6.2632171836664538e+03 6.2056652802118406e+03 6.1582988614571377e+03 6.1200159769373113e+03 6.0895787220582115e+03 6.0658718943578933e+03 6.0474091576348437e+03 6.0327625379053934e+03 6.0208087360421887e+03 6.0105121891502276e+03 6.0009044949179670e+03 5.9941411829068911e+03 5.9873233386373340e+03 5.9803715577745370e+03 5.9730920337371017e+03 5.9655829690146829e+03 5.9576341542585797e+03 5.9494829662141456e+03 5.9404457897816628e+03 5.9307739257600942e+03 5.9202893669833074e+03 5.9088531099870852e+03 5.8962962446162001e+03 5.8824284894047114e+03 5.8669824714674423e+03 5.8499619202755002e+03 5.8307629406680799e+03 5.8092373245166973e+03 5.7850727231458031e+03 5.7579330046054547e+03 5.7274715318565832e+03 5.6933406203396871e+03 5.6551615380405974e+03 5.6129598595915468e+03 5.5660341864688598e+03 5.5145300104187136e+03 5.4585665070526602e+03 5.3985826592887397e+03 5.3353253493658613e+03 5.2702161627642381e+03 5.2053758151534303e+03 5.1442449570377139e+03 5.0912130146103409e+03 5.0530882415027991e+03 5.0393796220673166e+03 5.0638894814333717e+03 5.1467198620505778e+03 5.3183320192893443e+03 5.6269505325541841e+03 6.1537890013919496e+03 4.5926171032417761e+02 +2.2701532311792192e+01 4.6406254890124168e+04 4.6400670675651381e+04 4.6391829813235374e+04 4.6379189636416981e+04 4.6364188232849090e+04 4.6349796421152525e+04 4.6337653697201138e+04 4.6325281967480012e+04 4.6309633621611458e+04 4.6289365781376233e+04 4.6263961609831393e+04 4.6232620837927672e+04 4.6194283642253191e+04 4.6147747823409642e+04 4.6091672740853362e+04 4.6024487858491913e+04 4.5944307583893933e+04 4.5848910850523389e+04 4.5735715400511319e+04 4.5601728159745304e+04 4.5443498616529418e+04 4.5257014237946889e+04 4.5036985281114801e+04 4.4774320012178418e+04 4.4458275868920464e+04 4.4084009044184342e+04 4.3647687551822390e+04 4.3142452087144782e+04 4.2559979313452226e+04 4.1891486589343753e+04 4.1128132781983149e+04 4.0261399877065975e+04 3.9283580687710099e+04 3.8188386454611136e+04 3.6971672113194298e+04 3.5632239399311118e+04 3.4172676205804346e+04 3.2600135906859163e+04 3.0926948620412135e+04 2.9170915115285010e+04 2.7218263212747486e+04 2.5231297661703844e+04 2.3248815263798977e+04 2.1311127612380697e+04 1.9456839056977060e+04 1.7719595255355514e+04 1.6125351986374864e+04 1.4690640355866710e+04 1.3422111123754408e+04 1.2317267723478382e+04 1.1366248665702444e+04 1.0554321091674343e+04 9.8643415293630624e+03 9.2782905118080998e+03 8.7791854340211503e+03 8.3521851313216011e+03 7.9847084468792355e+03 7.6665994849530589e+03 7.3897287216152272e+03 7.1479048887732843e+03 6.9360784425550692e+03 6.7504934938832939e+03 6.5878886796230317e+03 6.4459365144486719e+03 6.3224103543818574e+03 6.2154638101098426e+03 6.1236476831888895e+03 6.0454668031706242e+03 5.9794509829992548e+03 5.9245002734315176e+03 5.8792747049750787e+03 5.8427222290388572e+03 5.8136610006832298e+03 5.7910262008990476e+03 5.7733986470855070e+03 5.7594149111990027e+03 5.7480023476930601e+03 5.7381721434989759e+03 5.7289997037588928e+03 5.7225428254998087e+03 5.7160338970878765e+03 5.7093971055654720e+03 5.7024474228305226e+03 5.6952786005273547e+03 5.6876899662341784e+03 5.6799080779890619e+03 5.6712803834970236e+03 5.6620467593221638e+03 5.6520372638878462e+03 5.6411191920458987e+03 5.6291312870503116e+03 5.6158918891776129e+03 5.6011457528288202e+03 5.5848963765964181e+03 5.5665673146522658e+03 5.5460170372151288e+03 5.5229473483429783e+03 5.4970373464481390e+03 5.4679561008913670e+03 5.4353716809631105e+03 5.3989225273407728e+03 5.3586329964031029e+03 5.3138335538082156e+03 5.2646630633789282e+03 5.2112353009475582e+03 5.1539693589401650e+03 5.0935782779732426e+03 5.0314192306362265e+03 4.9695168526646385e+03 4.9111558417360884e+03 4.8605268126896690e+03 4.8241294997751656e+03 4.8110420396632408e+03 4.8344413437038402e+03 4.9135186226708374e+03 5.0773549180513673e+03 5.3719897383780444e+03 5.8749567668880145e+03 4.3724083368782334e+02 +2.2758161225849488e+01 4.4424665914755562e+04 4.4419307360908366e+04 4.4410839863517343e+04 4.4398730251473826e+04 4.4384351057068881e+04 4.4370544234426088e+04 4.4358878872418485e+04 4.4346984241577855e+04 4.4331941955908122e+04 4.4312464127032530e+04 4.4288053159911287e+04 4.4257940184974490e+04 4.4221107528201908e+04 4.4176400586660035e+04 4.4122531703754721e+04 4.4057992575642063e+04 4.3980972319681976e+04 4.3889337890088449e+04 4.3780609494611534e+04 4.3651912961091424e+04 4.3499935104669807e+04 4.3320823423058711e+04 4.3109499651464750e+04 4.2857235348453250e+04 4.2553716623114378e+04 4.2194296551517786e+04 4.1775303600391177e+04 4.1290161315191042e+04 4.0730890476945278e+04 4.0089075248038222e+04 3.9356249156965052e+04 3.8524262589448459e+04 3.7585752048752365e+04 3.6534724236067268e+04 3.5367252508398131e+04 3.4082247183299878e+04 3.2682259320359801e+04 3.1174225235601400e+04 2.9570047813361816e+04 2.7886871453012540e+04 2.6015772432837362e+04 2.4112400926634578e+04 2.2213966428938842e+04 2.0359082086388375e+04 1.8584674425982950e+04 1.6922873125635215e+04 1.5398407136049284e+04 1.4026960818829333e+04 1.2814756916587045e+04 1.1759275766408793e+04 1.0850973754821904e+04 1.0075675362916418e+04 9.4169279440662249e+03 8.8574672509619104e+03 8.3810403156324937e+03 7.9734551039859252e+03 7.6226887217996800e+03 7.3190408814690518e+03 7.0547499277105162e+03 6.8239065298531341e+03 6.6216921121487894e+03 6.4445231088566097e+03 6.2892879049397789e+03 6.1537660089481287e+03 6.0358329566931961e+03 5.9337270030123309e+03 5.8460653014327318e+03 5.7714210213045999e+03 5.7083909892108341e+03 5.6559253358649230e+03 5.6127450311360026e+03 5.5778456961073225e+03 5.5500990373806881e+03 5.5284883712721048e+03 5.5116586719012703e+03 5.4983081750657539e+03 5.4874126332470314e+03 5.4780278987134707e+03 5.4692712260956105e+03 5.4631070598704955e+03 5.4568932138478513e+03 5.4505573059726639e+03 5.4439226936652267e+03 5.4370788771014413e+03 5.4298342930822582e+03 5.4224051686424527e+03 5.4141686187678642e+03 5.4053536092987724e+03 5.3957979030684874e+03 5.3853748111917021e+03 5.3739303875903852e+03 5.3612912082098564e+03 5.3472136110146739e+03 5.3317008772251374e+03 5.3142027766887613e+03 5.2945841608143564e+03 5.2725603526041077e+03 5.2478249988058160e+03 5.2200621717944487e+03 5.1889549892509867e+03 5.1541582948967007e+03 5.1156952844602665e+03 5.0729268565745006e+03 5.0259855457984550e+03 4.9749799699554587e+03 4.9203102217226360e+03 4.8626570155604795e+03 4.8033159956838408e+03 4.7442200199217923e+03 4.6885048197524238e+03 4.6401710978105357e+03 4.6054238866407704e+03 4.5929297687114231e+03 4.6152682496950119e+03 4.6907604968875357e+03 4.8471691457256939e+03 5.1284464839053708e+03 5.6086110745565138e+03 4.1626805264732604e+02 +2.2814790139906783e+01 4.2526251579087577e+04 4.2521110511548373e+04 4.2513000863950721e+04 4.2501399135150787e+04 4.2487617101774937e+04 4.2474372071880702e+04 4.2463165810724109e+04 4.2451730463028827e+04 4.2437271514750435e+04 4.2418553824062605e+04 4.2395098357600706e+04 4.2366166462255191e+04 4.2330780968790787e+04 4.2287833039547077e+04 4.2236085963818783e+04 4.2174091272175094e+04 4.2100109908106882e+04 4.2012093453637142e+04 4.1907660625280725e+04 4.1784051554418162e+04 4.1638085064270512e+04 4.1466062468670534e+04 4.1263108747154271e+04 4.1020844612975023e+04 4.0729368197636024e+04 4.0384221669821745e+04 3.9981887400527419e+04 3.9516060414736501e+04 3.8979091741841701e+04 3.8362917411973387e+04 3.7659430136642281e+04 3.6860833178356035e+04 3.5960091829574056e+04 3.4951494847569156e+04 3.3831323204269822e+04 3.2598588881925647e+04 3.1255804533908937e+04 2.9809694684477341e+04 2.8271748481872652e+04 2.6658476731390263e+04 2.4865601692497701e+04 2.3042384636165658e+04 2.1224510515884758e+04 1.9448963453212466e+04 1.7751063083508721e+04 1.6161489641182967e+04 1.4703801671169187e+04 1.3392878574053331e+04 1.2234539717587351e+04 1.1226249563035921e+04 1.0358774205338408e+04 9.6184758469322824e+03 8.9895660083657513e+03 8.4555049746039695e+03 8.0007388420182861e+03 7.6116969187448149e+03 7.2768902637501824e+03 6.9870541030719542e+03 6.7347782605011043e+03 6.5144226897000344e+03 6.3213893611339390e+03 6.1522592289475351e+03 6.0040636355361030e+03 5.8746842250157570e+03 5.7620940794994049e+03 5.6646122630871469e+03 5.5809192790497364e+03 5.5096535490032038e+03 5.4494758941425562e+03 5.3993842719245376e+03 5.3581578524381093e+03 5.3248377926514077e+03 5.2983469532758745e+03 5.2777146366994984e+03 5.2616471087164336e+03 5.2489015137859124e+03 5.2384998458137061e+03 5.2295406295433204e+03 5.2211810974455111e+03 5.2152965277250205e+03 5.2093645417986136e+03 5.2033160350844710e+03 5.1969823749285733e+03 5.1904490006025417e+03 5.1835330493627653e+03 5.1764408832250774e+03 5.1685779508097730e+03 5.1601627979768009e+03 5.1510405467243581e+03 5.1410902548568047e+03 5.1301649593795846e+03 5.1180991028518147e+03 5.1046600871612536e+03 5.0898509888801527e+03 5.0731466146416669e+03 5.0544179128915503e+03 5.0333931197947395e+03 5.0097797785288567e+03 4.9832762922054681e+03 4.9535801525808020e+03 4.9203618708057384e+03 4.8836435368638477e+03 4.8428151146357004e+03 4.7980030947225641e+03 4.7493111681024575e+03 4.6971212790444206e+03 4.6420832643904023e+03 4.5854339970239807e+03 4.5290186688956201e+03 4.4758307230505980e+03 4.4296894561283907e+03 4.3965184060498614e+03 4.3845910421964654e+03 4.4059162351599598e+03 4.4779840949026038e+03 4.6272979279170931e+03 4.8958163280017097e+03 5.3542002532901906e+03 3.9629389504755966e+02 +2.2871419053964079e+01 4.0707591395581861e+04 4.0702658440207611e+04 4.0694891628351048e+04 4.0683777405776222e+04 4.0670568158459981e+04 4.0657862419218269e+04 4.0647097748101718e+04 4.0636104470244158e+04 4.0622206961504737e+04 4.0604220621801105e+04 4.0581684331586039e+04 4.0553888513407204e+04 4.0519894919304403e+04 4.0478638712915323e+04 4.0428932169233718e+04 4.0369384343516722e+04 4.0298325229796334e+04 4.0213787771681513e+04 4.0113485384654581e+04 3.9994768077921355e+04 3.9854581562874846e+04 3.9689374988457079e+04 3.9494468655213066e+04 3.9261818825708498e+04 3.8981919630434706e+04 3.8650494838188584e+04 3.8264174435015659e+04 3.7816913997820455e+04 3.7301381476911418e+04 3.6709850423960503e+04 3.6034557875465871e+04 3.5268045081726246e+04 3.4403591849082310e+04 3.3435756172569170e+04 3.2361016339113128e+04 3.1178479457131729e+04 2.9890618394088833e+04 2.8503951096028271e+04 2.7029566111418702e+04 2.5483362706041506e+04 2.3765514895282617e+04 2.2019150456350355e+04 2.0278490192341047e+04 1.8578955889985842e+04 1.6954328325347047e+04 1.5433901995239605e+04 1.4040118945027283e+04 1.2787093409882542e+04 1.1680264708033243e+04 1.0717088051904866e+04 9.8886311574705087e+03 9.1817749414307946e+03 8.5813694004307690e+03 8.0715698614546645e+03 7.6374921535779367e+03 7.2661602970903641e+03 6.9465960292340405e+03 6.6699508634913864e+03 6.4291504298967002e+03 6.2188118714613547e+03 6.0345477457984643e+03 5.8730960714004505e+03 5.7316246609264726e+03 5.6081126532314092e+03 5.5006262504334072e+03 5.4075616624256609e+03 5.3276598739530791e+03 5.2596216090115886e+03 5.2021687985685712e+03 5.1543450735776487e+03 5.1149851866955169e+03 5.0831737911760756e+03 5.0578826102277117e+03 5.0381848776705147e+03 5.0228454120872684e+03 5.0106776327728621e+03 5.0007477132147205e+03 4.9921949453991783e+03 4.9842147505605717e+03 4.9785972416580789e+03 4.9729344781131731e+03 4.9671604861761080e+03 4.9611142841091541e+03 4.9548774324213937e+03 4.9482753781567108e+03 4.9415050635395755e+03 4.9339989963645930e+03 4.9259657714504174e+03 4.9172575399993348e+03 4.9077588488315550e+03 4.8973294049357628e+03 4.8858111647737824e+03 4.8729820974783051e+03 4.8588450870395445e+03 4.8428988502587872e+03 4.8250201609733440e+03 4.8049495895087757e+03 4.7824079523921082e+03 4.7571073409162118e+03 4.7287589763961414e+03 4.6970483343781043e+03 4.6619964514175826e+03 4.6230210495687497e+03 4.5802428481359066e+03 4.5337608321370089e+03 4.4839396111685746e+03 4.4313995289225841e+03 4.3773213221341530e+03 4.3234664470861053e+03 4.2726924407981733e+03 4.2286453242189154e+03 4.1969797637353704e+03 4.1855937414241016e+03 4.2059510797439179e+03 4.2747480937710516e+03 4.4172852262052238e+03 4.6736167687874786e+03 5.1111966253604087e+03 3.7727120202640685e+02 +2.2928047968021374e+01 3.8965400637897947e+04 3.8960667956309924e+04 3.8953229652678521e+04 3.8942582886743519e+04 3.8929923039341833e+04 3.8917734959429225e+04 3.8907395045846155e+04 3.8896827254384480e+04 3.8883470079967432e+04 3.8866187354802736e+04 3.8844535248620843e+04 3.8817832158969846e+04 3.8785177237892392e+04 3.8745547949765256e+04 3.8697803670397174e+04 3.8640608754752328e+04 3.8572359576203206e+04 3.8491167295814790e+04 3.8394836360284891e+04 3.8280822397078555e+04 3.8146193077756085e+04 3.7987539630465413e+04 3.7800370052466598e+04 3.7576963063648749e+04 3.7308193372820962e+04 3.6989959143872395e+04 3.6619031937745916e+04 3.6189617382309058e+04 3.5694687542938998e+04 3.5126839714028785e+04 3.4478640995308328e+04 3.3742956345202518e+04 3.2913366408961920e+04 3.1984686162704867e+04 3.0953581392412500e+04 2.9819248153818204e+04 2.8584118329371453e+04 2.7254508442589449e+04 2.5841119223955553e+04 2.4359259752371578e+04 2.2713369498784039e+04 2.1040688272336152e+04 1.9374030825699421e+04 1.7747320671899077e+04 1.6192864974879003e+04 1.4738633485218159e+04 1.3406003246921833e+04 1.2208361228655882e+04 1.1150788773763541e+04 1.0230737916895798e+04 9.4395699969640573e+03 8.7646662347119600e+03 8.1914903471487050e+03 7.7048643660901980e+03 7.2905457143434724e+03 6.9361276059107422e+03 6.6311201731449246e+03 6.3670728224550385e+03 6.1372320034320164e+03 5.9364604874698261e+03 5.7605719028480371e+03 5.6064542096499108e+03 5.4714054937905275e+03 5.3534979558793721e+03 5.2508866898948454e+03 5.1620415518488453e+03 5.0857612678434079e+03 5.0208060459364970e+03 4.9659561703370318e+03 4.9202988879103741e+03 4.8827220323646388e+03 4.8523518037411486e+03 4.8282065973764711e+03 4.8094016143820645e+03 4.7947576079315186e+03 4.7831417544827746e+03 4.7736624358466188e+03 4.7654978899323942e+03 4.7578800165946295e+03 4.7525175874245679e+03 4.7471119676885364e+03 4.7416001742946983e+03 4.7358285333041877e+03 4.7298749005322443e+03 4.7235726594568214e+03 4.7171097578884564e+03 4.7099445449345412e+03 4.7022761124748013e+03 4.6939633255618855e+03 4.6848959737494251e+03 4.6749401347615958e+03 4.6639449418472241e+03 4.6516984567479094e+03 4.6382033821971245e+03 4.6229812686631794e+03 4.6059144556242354e+03 4.5867552941917311e+03 4.5652372787205386e+03 4.5410855745602439e+03 4.5140245165982160e+03 4.4837538728637637e+03 4.4502936763507014e+03 4.4130881582496422e+03 4.3722525270565884e+03 4.3278812729652836e+03 4.2803224486213094e+03 4.2301682277920463e+03 4.1785457296354516e+03 4.1271364311130255e+03 4.0786680631325121e+03 4.0366211416910896e+03 4.0063935261527490e+03 3.9955245572528625e+03 4.0149574641171212e+03 4.0806303807410145e+03 4.2166948528860294e+03 4.4613863070311800e+03 4.8790954821461746e+03 3.5915502100750632e+02 +2.2984676882078670e+01 3.7296528491120473e+04 3.7291987307968389e+04 3.7284864108396323e+04 3.7274665232840220e+04 3.7262532323361236e+04 3.7250841335684097e+04 3.7240909881998254e+04 3.7230751618603223e+04 3.7217914433573649e+04 3.7201308602178789e+04 3.7180506973871168e+04 3.7154854859066661e+04 3.7123487350394913e+04 3.7085422573326498e+04 3.7039565191499853e+04 3.6984632716666936e+04 3.6919085330964197e+04 3.6841109386524789e+04 3.6748596830298076e+04 3.6639104808741198e+04 3.6509818210615114e+04 3.6357464804268835e+04 3.6177732947761899e+04 3.5963211220972567e+04 3.5705140071509682e+04 3.5399585129888852e+04 3.5043453731662674e+04 3.4631191465376040e+04 3.4156062207346396e+04 3.3610973761847970e+04 3.2988809603221911e+04 3.2282744703686963e+04 3.1486647448530097e+04 3.0595578076073518e+04 2.9606380518004687e+04 2.8518333940175522e+04 2.7333828209362757e+04 2.6058983520197708e+04 2.4704125218446148e+04 2.3283992866349199e+04 2.1707112700860009e+04 2.0105072572328609e+04 1.8509337074228235e+04 1.6952392976442476e+04 1.5465136402182145e+04 1.4074270743802919e+04 1.2800157237981242e+04 1.1655491676098893e+04 1.0645018313702381e+04 9.7661915583097416e+03 9.0106584713923057e+03 8.3662827498009756e+03 7.8191179795882663e+03 7.3546256705766709e+03 6.9591778465576735e+03 6.6209124635734652e+03 6.3298067165835928e+03 6.0777903070020029e+03 5.8584161740497912e+03 5.6667816674652613e+03 5.4988923930235696e+03 5.3517794478188325e+03 5.2228652713833517e+03 5.1103108918573889e+03 5.0123562562849474e+03 4.9275415237932202e+03 4.8547205441825126e+03 4.7927103170672090e+03 4.7403468460622098e+03 4.6967590278041907e+03 4.6608853866392665e+03 4.6318918060386613e+03 4.6088412599783660e+03 4.5908890393122483e+03 4.5769093290377450e+03 4.5658206561996412e+03 4.5567717264001294e+03 4.5489779823566123e+03 4.5417061679919279e+03 4.5365873679001588e+03 4.5314273481827613e+03 4.5261659824151793e+03 4.5206565765165606e+03 4.5149734479827503e+03 4.5089575599113778e+03 4.5027882721278393e+03 4.4959486112918858e+03 4.4886285945265117e+03 4.4806934993248824e+03 4.4720381226204709e+03 4.4625346268706226e+03 4.4520389999203599e+03 4.4403489425094485e+03 4.4274669868340861e+03 4.4129364883537373e+03 4.3966451038710611e+03 4.3783564364053136e+03 4.3578160889845731e+03 4.3347617140836473e+03 4.3089301714544354e+03 4.2800348794653273e+03 4.2480949150697043e+03 4.2125798250559737e+03 4.1735995559961120e+03 4.1312443050258626e+03 4.0858463111402220e+03 4.0379708428141362e+03 3.9886938086821460e+03 3.9396202964761951e+03 3.8933540606464394e+03 3.8532175391263045e+03 3.8243633145080212e+03 3.8139881863021451e+03 3.8325381622953892e+03 3.8952272323591378e+03 4.0251096227469907e+03 4.2586835486697128e+03 4.6574141026141669e+03 3.4190250358129327e+02 +2.3041305796135966e+01 3.5697948568982392e+04 3.5693591852145626e+04 3.5686770424768962e+04 3.5677001290178974e+04 3.5665373679094155e+04 3.5654159923159204e+04 3.5644621132803055e+04 3.5634857036287329e+04 3.5622520225292355e+04 3.5606565546774917e+04 3.5586581931107336e+04 3.5561940575751491e+04 3.5531811115171651e+04 3.5495250754804685e+04 3.5451207701905347e+04 3.5398450561297024e+04 3.5335500850749253e+04 3.5260617199947992e+04 3.5171775657575752e+04 3.5066630944133249e+04 3.4942480600901159e+04 3.4796183606608436e+04 3.4623601621985654e+04 3.4417620966382688e+04 3.4169833546716378e+04 3.3876465798236546e+04 3.3534555261549758e+04 3.3138777790379012e+04 3.2682677251191246e+04 3.2159459249965719e+04 3.1562310498294490e+04 3.0884702849982150e+04 3.0120779884095657e+04 2.9265835897666402e+04 2.8316884056346407e+04 2.7273281123745201e+04 2.6137374076845976e+04 2.4915091809554488e+04 2.3616396374053656e+04 2.2255477822102748e+04 2.0744777776290055e+04 1.9210458975120040e+04 1.7682689614453036e+04 1.6192578816287431e+04 1.4769671663783227e+04 1.3439461082826529e+04 1.2221339492030769e+04 1.1127345868256725e+04 1.0161907138886474e+04 9.3224851481962105e+03 8.6010048847912367e+03 7.9857952616531020e+03 7.4634767568503930e+03 7.0201242006694602e+03 6.6426983264287501e+03 6.3198584042002749e+03 6.0420282702836766e+03 5.8015010861476239e+03 5.5921225793021958e+03 5.4092141165663743e+03 5.2489645929550879e+03 5.1085417421391849e+03 4.9854867028435810e+03 4.8780452864707413e+03 4.7845384353856743e+03 4.7035734185536194e+03 4.6340567088851367e+03 4.5748595253577214e+03 4.5248710744640748e+03 4.4832600239121757e+03 4.4490133045125413e+03 4.4213347022441540e+03 4.3993297688608873e+03 4.3821920902174725e+03 4.3688468908498762e+03 4.3582617480623931e+03 4.3496238896694977e+03 4.3421842988671879e+03 4.3352430013216645e+03 4.3303568869679420e+03 4.3254314349457127e+03 4.3204092474352510e+03 4.3151502967796332e+03 4.3097255211606343e+03 4.3039831223384454e+03 4.2980942604042257e+03 4.2915655275779582e+03 4.2845782753652475e+03 4.2770039056397145e+03 4.2687419977796071e+03 4.2596705256508867e+03 4.2496520237798477e+03 4.2384933984207846e+03 4.2261970213428658e+03 4.2123270700809908e+03 4.1967762813633262e+03 4.1793190046834543e+03 4.1597124078157658e+03 4.1377060694135698e+03 4.1130488114714026e+03 4.0854670890344091e+03 4.0549790683168435e+03 4.0210784712139202e+03 3.9838702201441188e+03 3.9434404120369140e+03 3.9001061825870688e+03 3.8544071035799775e+03 3.8073701735392774e+03 3.7605275219818031e+03 3.7163644981840434e+03 3.6780525599777602e+03 3.6505100324879199e+03 3.6406065607882169e+03 3.6583132677085709e+03 3.7181525278789868e+03 3.8421305402215257e+03 4.0650863448178848e+03 4.4456908128044824e+03 3.2547280805429705e+02 +2.3097934710193261e+01 3.4166758997564873e+04 3.4162578549394042e+04 3.4156046206807769e+04 3.4146688895207117e+04 3.4135546185861051e+04 3.4124790745191669e+04 3.4115629430612513e+04 3.4106244699233343e+04 3.4094389349924772e+04 3.4079061027118943e+04 3.4059864155875555e+04 3.4036194828940650e+04 3.4007255881292978e+04 3.3972142074103431e+04 3.3929843480122116e+04 3.3879177810385387e+04 3.3818725538380335e+04 3.3746814767087642e+04 3.3661502375980570e+04 3.3560536863449772e+04 3.3441324030381271e+04 3.3300848937817238e+04 3.3135139758596917e+04 3.2937368890499325e+04 3.2699465960020196e+04 3.2417811802026667e+04 3.2089568814329832e+04 3.1709633800667994e+04 3.1271819261375545e+04 3.0769616401082076e+04 3.0196502560812110e+04 2.9546233883715620e+04 2.8813217126590604e+04 2.7992969935107136e+04 2.7082666219235696e+04 2.6081735136235642e+04 2.4992480045148288e+04 2.3820643498071651e+04 2.2575836009163781e+04 2.1271717480335734e+04 1.9824480558320425e+04 1.8355080895765135e+04 1.6892441999611594e+04 1.5466352095691458e+04 1.4105062758417456e+04 1.2832909945460571e+04 1.1668362137362685e+04 1.0622834212114838e+04 9.7004544585225722e+03 8.8986967662762363e+03 8.2097563673677905e+03 7.6224106845207734e+03 7.1238249558402240e+03 6.7006622039705035e+03 6.3404470385182776e+03 6.0323375977383248e+03 5.7671848114102586e+03 5.5376291967444749e+03 5.3377961698614381e+03 5.1632210210306866e+03 5.0102676333395257e+03 4.8762341674882127e+03 4.7587750604818875e+03 4.6562170443055711e+03 4.5669583719365519e+03 4.4896703720244923e+03 4.4233097519683397e+03 4.3667994928639182e+03 4.3190795997480691e+03 4.2793567163237367e+03 4.2466639972724279e+03 4.2202414289946264e+03 4.1992352287489603e+03 4.1828755619200128e+03 4.1701364059132338e+03 4.1600321896324858e+03 4.1517869408906863e+03 4.1446855924519505e+03 4.1380599585327745e+03 4.1333960717589171e+03 4.1286946442502822e+03 4.1239008843998909e+03 4.1188811314525292e+03 4.1137030962052950e+03 4.1082218932588794e+03 4.1026008539073164e+03 4.0963690734075035e+03 4.0896996285502378e+03 4.0824697703223655e+03 4.0745836455976782e+03 4.0659247784122826e+03 4.0563619557337365e+03 4.0457108750931175e+03 4.0339737573549578e+03 4.0207346629795393e+03 4.0058911816871314e+03 3.9892279263903470e+03 3.9705131098101097e+03 3.9495077007140221e+03 3.9259719456589023e+03 3.8996447499481960e+03 3.8705434122044235e+03 3.8381847396927310e+03 3.8026688578363355e+03 3.7640779476461885e+03 3.7227147203808822e+03 3.6790942061488959e+03 3.6341966917809068e+03 3.5894846274915158e+03 3.5473302815278234e+03 3.5107609150152775e+03 3.4844711262853616e+03 3.4750181105432798e+03 3.4919194516450871e+03 3.5490369955869196e+03 3.6673760205847393e+03 3.8801909677693766e+03 4.2434840846816978e+03 3.0982700645638704e+02 +2.3154563624250557e+01 3.2700173001600120e+04 3.2696161913753476e+04 3.2689906840958211e+04 3.2680943860788684e+04 3.2670266008750979e+04 3.2659950780743413e+04 3.2651152394549637e+04 3.2642132750801233e+04 3.2630740631072160e+04 3.2616014775653959e+04 3.2597574534929903e+04 3.2574839938013207e+04 3.2547045732105777e+04 3.2513322766559591e+04 3.2472701363939661e+04 3.2424046429260663e+04 3.2365995101675053e+04 3.2296942258469920e+04 3.2215022461996174e+04 3.2118074335489771e+04 3.2003607712604440e+04 3.1868728802689137e+04 3.1709625758016340e+04 3.1519745836506703e+04 3.1291343164739072e+04 3.1020946819393255e+04 3.0705838920669466e+04 3.0341128273147413e+04 2.9920885101854907e+04 2.9438874492616935e+04 2.8888852317047691e+04 2.8264846933998841e+04 2.7561516770534265e+04 2.6774592583611626e+04 2.5901400940741485e+04 2.4941438481572270e+04 2.3896964354527638e+04 2.2773539656852023e+04 2.1580434791040749e+04 2.0330798242163200e+04 1.8944416059471972e+04 1.7537246344098356e+04 1.6137017643968844e+04 1.4772251785630531e+04 1.3469961994138986e+04 1.2253378462503133e+04 1.1140088595228550e+04 1.0140914316117834e+04 9.2597029493480240e+03 8.4939446134230966e+03 7.8360972173153204e+03 7.2753705265893950e+03 6.7994532240240787e+03 6.3955723875320873e+03 6.0517926864160690e+03 5.7577496236118604e+03 5.5047025115041251e+03 5.2856238185216562e+03 5.0949061254510016e+03 4.9282889997141237e+03 4.7823033815545868e+03 4.6543719272037497e+03 4.5422572133470185e+03 4.4443632034343436e+03 4.3591619417785378e+03 4.2853859033747758e+03 4.2220397484556897e+03 4.1680958729659860e+03 4.1225427833729545e+03 4.0846233842609031e+03 4.0534149687198960e+03 4.0281920968922836e+03 4.0081398240139570e+03 3.9925232553063142e+03 3.9803629354443474e+03 3.9707180435007804e+03 3.9628477609992401e+03 3.9560694496034262e+03 3.9497452849905285e+03 3.9452936316251789e+03 3.9408061532427450e+03 3.9362305474556292e+03 3.9314392341680582e+03 3.9264968419968536e+03 3.9212650870417547e+03 3.9158998261323090e+03 3.9099516423684031e+03 3.9035857113277461e+03 3.8966848700317901e+03 3.8891576274288695e+03 3.8808928081210711e+03 3.8717651702953272e+03 3.8615988069291539e+03 3.8503957969751486e+03 3.8377591865045497e+03 3.8235912012688673e+03 3.8076862560244258e+03 3.7898231116616694e+03 3.7697736148061931e+03 3.7473089227453502e+03 3.7221798306481328e+03 3.6944028106957803e+03 3.6635167142776263e+03 3.6296170868294089e+03 3.5927823695684997e+03 3.5533014980530984e+03 3.5116660644837848e+03 3.4688117448656562e+03 3.4261344435700598e+03 3.3858984356168453e+03 3.3509932679999970e+03 3.3258998756211440e+03 3.3168770559731570e+03 3.3330092527635634e+03 3.3875274906780346e+03 3.5004811437708645e+03 3.7036113215023197e+03 4.0503716727238702e+03 2.9492799580497427e+02 +2.3211192538307852e+01 3.1295517197396621e+04 3.1291668637051520e+04 3.1285679110714838e+04 3.1277094619886837e+04 3.1266862384967848e+04 3.1256969418699962e+04 3.1248520028843392e+04 3.1239851699204788e+04 3.1228905236691757e+04 3.1214758836557157e+04 3.1197046225576385e+04 3.1175210443239332e+04 3.1148516908947437e+04 3.1116131148911067e+04 3.1077122179590384e+04 3.1030400259910490e+04 3.0974656991328688e+04 3.0908351427458401e+04 3.0829692784558665e+04 3.0736606295722700e+04 3.0626701760158387e+04 3.0497201788713814e+04 3.0344448229125868e+04 3.0162152407488840e+04 2.9942880232490868e+04 2.9683303102587128e+04 2.9380817930857564e+04 2.9030736925389061e+04 2.8627377556986539e+04 2.8164767542063022e+04 2.7636929673364870e+04 2.7038152949656251e+04 2.6363336448639446e+04 2.5608414253771902e+04 2.4770857888186663e+04 2.3850226840599273e+04 2.2848735582017540e+04 2.1771768567032028e+04 2.0628267190166163e+04 1.9430886642827147e+04 1.8102855226276166e+04 1.6755334850926647e+04 1.5414906928325136e+04 1.4108879213182410e+04 1.2863079462609536e+04 1.1699681108625424e+04 1.0635431411491540e+04 9.6805889871026193e+03 8.8387369051717978e+03 8.1073852993953378e+03 7.4792473117700247e+03 6.9439494091909019e+03 6.4896831927323574e+03 6.1042166124754467e+03 5.7761315574030386e+03 5.4955202956616395e+03 5.2540326135398091e+03 5.0449581961774211e+03 4.8629448161324590e+03 4.7039270995545803e+03 4.5645954669243793e+03 4.4424914043454764e+03 4.3354807012214251e+03 4.2420410292521265e+03 4.1607148628867044e+03 4.0902930409097321e+03 4.0298259970318736e+03 3.9783332998248134e+03 3.9348497626362077e+03 3.8986529122571023e+03 3.8688621876132397e+03 3.8447851680119638e+03 3.8256440001816354e+03 3.8107371619914675e+03 3.7991296764527119e+03 3.7899234643616519e+03 3.7824112873106224e+03 3.7759414823780057e+03 3.7699052228417390e+03 3.7656562524323067e+03 3.7613730951204052e+03 3.7570058259477205e+03 3.7524326719406540e+03 3.7477153182737070e+03 3.7427217850540610e+03 3.7376007931514237e+03 3.7319234435291978e+03 3.7258473673965345e+03 3.7192607364387018e+03 3.7120762253589078e+03 3.7041877207967104e+03 3.6954756834412083e+03 3.6857722234740854e+03 3.6750792864182936e+03 3.6630180466346906e+03 3.6494951585327149e+03 3.6343143975896419e+03 3.6172645981902738e+03 3.5981279952772129e+03 3.5766861658544417e+03 3.5527012594833413e+03 3.5261889610996204e+03 3.4967091713661198e+03 3.4643530630391688e+03 3.4291955058438921e+03 3.3915122795702700e+03 3.3517725932674939e+03 3.3108695197151505e+03 3.2701354117843766e+03 3.2317314130724772e+03 3.1984155513350929e+03 3.1744647145188223e+03 3.1658527306655783e+03 3.1812503964152793e+03 3.2332863034466568e+03 3.3410969394718222e+03 3.5349781852998190e+03 3.8659497867312339e+03 2.8074041343407634e+02 +2.3267821452365148e+01 2.9950225686247704e+04 2.9946532996409424e+04 2.9940798237026975e+04 2.9932576355969104e+04 2.9922771801191651e+04 2.9913284146090948e+04 2.9905170294236439e+04 2.9896840005908834e+04 2.9886322268100401e+04 2.9872733157044077e+04 2.9855720248286798e+04 2.9834748699792020e+04 2.9809113407389705e+04 2.9778013218054501e+04 2.9740554343737538e+04 2.9695690626846150e+04 2.9642166011003312e+04 2.9578501225914930e+04 2.9502977227295905e+04 2.9413602475980671e+04 2.9308082823529588e+04 2.9183752716015257e+04 2.9037101651791312e+04 2.8862094644350127e+04 2.8651597149315199e+04 2.8402417196346581e+04 2.8112061758930380e+04 2.7776038189951014e+04 2.7388901140941500e+04 2.6944930157287599e+04 2.6438403813535595e+04 2.5863860650686795e+04 2.5216429845376002e+04 2.4492239456124003e+04 2.3688898627204442e+04 2.2806025326942017e+04 2.1845788998648259e+04 2.0813402189559296e+04 1.9717488073827320e+04 1.8570226079668402e+04 1.7298141823038837e+04 1.6007794517172943e+04 1.4724664421916414e+04 1.3474895460624424e+04 1.2283180616165231e+04 1.1170683454613740e+04 1.0153350177465423e+04 9.2409043099848041e+03 8.4366804632650728e+03 7.7382122020367015e+03 7.1384605841712901e+03 6.6274536479849266e+03 6.1938661485936591e+03 5.8259846433361408e+03 5.5128863389254439e+03 5.2451005364477378e+03 5.0146503560856900e+03 4.8151286067611509e+03 4.6414268071931756e+03 4.4896658331198078e+03 4.3566883468413480e+03 4.2401492527858281e+03 4.1380128475209849e+03 4.0488271463267070e+03 3.9712018437108650e+03 3.9039834846645708e+03 3.8462661947936699e+03 3.7971145735384130e+03 3.7556076445861349e+03 3.7210559913604711e+03 3.6926192948556436e+03 3.6696366679370826e+03 3.6513656798394918e+03 3.6371366832424164e+03 3.6260571830036934e+03 3.6172699221535208e+03 3.6100997381813368e+03 3.6039245543817347e+03 3.5981632382226258e+03 3.5941078246207244e+03 3.5900197880981768e+03 3.5858514742924854e+03 3.5814866559511256e+03 3.5769842073942827e+03 3.5722181684720890e+03 3.5673304474483248e+03 3.5619117364266795e+03 3.5561124631788934e+03 3.5498258938335266e+03 3.5429686812688515e+03 3.5354395462216048e+03 3.5271243951004490e+03 3.5178629938917161e+03 3.5076571626754589e+03 3.4961453850260295e+03 3.4832385457787764e+03 3.4687493596265513e+03 3.4524762808416058e+03 3.4342114649073069e+03 3.4137464393491996e+03 3.3908541964514893e+03 3.3655496712611125e+03 3.3374128631990843e+03 3.3065307704008887e+03 3.2729748518956467e+03 3.2370083241117559e+03 3.1990790208379822e+03 3.1600393300190926e+03 3.1211609143568899e+03 3.0845064317263436e+03 3.0527083104099570e+03 3.0298485805630248e+03 3.0216289324241143e+03 3.0363251425111207e+03 3.0859904964993880e+03 3.1888897022593478e+03 3.3739384891360214e+03 3.6898322993552597e+03 2.6723055620467437e+02 +2.3324450366422443e+01 2.8661837691512672e+04 2.8658294475033013e+04 2.8652803436045328e+04 2.8644929117799551e+04 2.8635534757731504e+04 2.8626436135509121e+04 2.8618644875696467e+04 2.8610639842404198e+04 2.8600534516246858e+04 2.8587481345254717e+04 2.8571141246603260e+04 2.8551000638791062e+04 2.8526382740206900e+04 2.8496518416764655e+04 2.8460549631915652e+04 2.8417472109197664e+04 2.8366080094030727e+04 2.8304953586038355e+04 2.8232442476528580e+04 2.8146635199933789e+04 2.8045329895508436e+04 2.7925968451796838e+04 2.7785182203813372e+04 2.7617179867420255e+04 2.7415114675573248e+04 2.7175925818988573e+04 2.6897225788855201e+04 2.6574709149783837e+04 2.6203158067139175e+04 2.5777093545324820e+04 2.5291039253142146e+04 2.4739772635207977e+04 2.4118642864110090e+04 2.3423963036925597e+04 2.2653472935380520e+04 2.1806844888227013e+04 2.0886203068900468e+04 1.9896592773482145e+04 1.8846329433809071e+04 1.7747133669802712e+04 1.6528689439533595e+04 1.5293139181072751e+04 1.4064906216187335e+04 1.2869018869890264e+04 1.1729083943798456e+04 1.0665300011896454e+04 9.6928495365959188e+03 8.8209478071628619e+03 8.0526959045243802e+03 7.3856538948046109e+03 6.8130235652694619e+03 6.3252198935115757e+03 5.9113817606462489e+03 5.5602929498677186e+03 5.2615049847210585e+03 5.0059652987524196e+03 4.7860539426025807e+03 4.5956533703560317e+03 4.4298879058099274e+03 4.2850562566193757e+03 4.1581464121389363e+03 4.0469215264751942e+03 3.9494399094366477e+03 3.8643167067368740e+03 3.7902257672797364e+03 3.7260668041541153e+03 3.6709756467114530e+03 3.6240598795257411e+03 3.5844407338000701e+03 3.5514603538969150e+03 3.5243168440116024e+03 3.5023794309172654e+03 3.4849395114939275e+03 3.4713578817056400e+03 3.4607826202089750e+03 3.4523954578424432e+03 3.4455518702814516e+03 3.4396580392989572e+03 3.4341592809807275e+03 3.4302887037634232e+03 3.4263869968022241e+03 3.4224086742129971e+03 3.4182428046966174e+03 3.4139455783963303e+03 3.4093967833162460e+03 3.4047318239796696e+03 3.3995600982505207e+03 3.3940251561777227e+03 3.3880251287850301e+03 3.3814804678978280e+03 3.3742945105385793e+03 3.3663583634785159e+03 3.3575191031828394e+03 3.3477784318330273e+03 3.3367913596906133e+03 3.3244728125370971e+03 3.3106440415227316e+03 3.2951126873688077e+03 3.2776803791090547e+03 3.2581481464687990e+03 3.2362993355484832e+03 3.2121481671095353e+03 3.1852938312154247e+03 3.1558193405559996e+03 3.1237928971410001e+03 3.0894657200808897e+03 3.0532652309958885e+03 3.0160049660905929e+03 2.9788986320306244e+03 2.9439148400094928e+03 2.9135660755463969e+03 2.8917482915437458e+03 2.8839033015985647e+03 2.8979296608264849e+03 2.9453312698308023e+03 3.0435403354982873e+03 3.2201546195036199e+03 3.5216499869332679e+03 2.5436630342094648e+02 +2.3381079280479739e+01 2.7427990853749856e+04 2.7424591175393205e+04 2.7419334159552185e+04 2.7411792734070787e+04 2.7402791549703248e+04 2.7394066273880591e+04 2.7386585104847953e+04 2.7378893007507861e+04 2.7369184379431710e+04 2.7356646589604949e+04 2.7340953407684658e+04 2.7321611689023048e+04 2.7297971861123729e+04 2.7269295559601705e+04 2.7234759107836009e+04 2.7193398473387297e+04 2.7144056240206959e+04 2.7085369362291305e+04 2.7015753969334670e+04 2.6933375338377213e+04 2.6836120274788656e+04 2.6721533884407454e+04 2.6586383746880987e+04 2.6425112676798763e+04 2.6231150363344921e+04 2.6001561900620967e+04 2.5734060936860242e+04 2.5424521628971423e+04 2.5067944371830807e+04 2.4659081674148278e+04 2.4192692045487081e+04 2.3663781636124018e+04 2.3067909942039481e+04 2.2401566559475756e+04 2.1662615258749622e+04 2.0850778847554735e+04 1.9968136086910810e+04 1.9019569597194495e+04 1.8013097243179778e+04 1.6959997232168767e+04 1.5792978617989651e+04 1.4609945699042164e+04 1.3434307366250432e+04 1.2290022648460934e+04 1.1199658742008334e+04 1.0182492165542186e+04 9.2529772733766549e+03 8.4198466741628836e+03 7.6859820244093235e+03 7.0489726401028338e+03 6.5022539852148393e+03 6.0366138288427228e+03 5.6416368608606845e+03 5.3065835592001476e+03 5.0214596286084843e+03 4.7776125324514933e+03 4.5677635541237496e+03 4.3860719023782731e+03 4.2278842477921780e+03 4.0896690866667532e+03 3.9685531300526850e+03 3.8624028453165211e+03 3.7693662638085530e+03 3.6881225933719775e+03 3.6174069096389335e+03 3.5561696698733790e+03 3.5035865083380099e+03 3.4588060407658504e+03 3.4209897926522576e+03 3.3895100404215864e+03 3.3636015737625867e+03 3.3426623767866877e+03 3.3260161500267768e+03 3.3130527646535338e+03 3.3029590496255132e+03 3.2949539705299958e+03 3.2884222670822287e+03 3.2827971106049740e+03 3.2775490755216356e+03 3.2738550022280479e+03 3.2701312247223414e+03 3.2663343280273980e+03 3.2623584381296405e+03 3.2582571820428070e+03 3.2539158364288919e+03 3.2494635970933923e+03 3.2445277218300662e+03 3.2392451940978717e+03 3.2335187905166249e+03 3.2272725905791822e+03 3.2204143394834850e+03 3.2128401099163784e+03 3.2044039588814339e+03 3.1951074777714307e+03 3.1846214559645923e+03 3.1728646790848711e+03 3.1596665498916377e+03 3.1448434813968174e+03 3.1282061491054396e+03 3.1095646565413076e+03 3.0887122364993816e+03 3.0656624293729797e+03 3.0400327482951966e+03 3.0119024012086179e+03 2.9813364799388291e+03 2.9485747471503723e+03 2.9140251325236782e+03 2.8784640720721977e+03 2.8430499289145296e+03 2.8096615090409759e+03 2.7806967603454355e+03 2.7598739483152021e+03 2.7523867255550467e+03 2.7657734326000973e+03 2.8110133526346976e+03 2.9047437228600447e+03 3.0733037544711010e+03 3.3610498022946108e+03 2.4211704328474690e+02 +2.3437708194537034e+01 2.6246419416952711e+04 2.6243157565727390e+04 2.6238124263386817e+04 2.6230902198435593e+04 2.6222278028932615e+04 2.6213911090522761e+04 2.6206728022305018e+04 2.6199336999168117e+04 2.6190009936889372e+04 2.6177967732769564e+04 2.6162896537920216e+04 2.6144322853476566e+04 2.6121623243608679e+04 2.6094088913824180e+04 2.6060929206967194e+04 2.6021218760287193e+04 2.5973846607107596e+04 2.5917504427733722e+04 2.5850671995629538e+04 2.5771588418317213e+04 2.5678225683448924e+04 2.5568228050281661e+04 2.5438493965079590e+04 2.5283691104922844e+04 2.5097514725931444e+04 2.4877150772540259e+04 2.4620409864485191e+04 2.4323338432873043e+04 2.3981146186236281e+04 2.3588807581780096e+04 2.3141306133351107e+04 2.2633866922103851e+04 2.2062250507358716e+04 2.1423114825473018e+04 2.0714441306113775e+04 1.9935999579580523e+04 1.9089822944164913e+04 1.8180635837792437e+04 1.7216168437053864e+04 1.6207272389358668e+04 1.5089554094733317e+04 1.3956851335686999e+04 1.2831599435632212e+04 1.1736732572551062e+04 1.0693822976892736e+04 9.7212661923837295e+03 8.8328224814342993e+03 8.0367660886714402e+03 7.3357725718259835e+03 6.7274629455588038e+03 6.2054994342711407e+03 5.7610289218355674e+03 5.3840642759693856e+03 5.0643229562565493e+03 4.7922455439755213e+03 4.5595621948485223e+03 4.3593204034365754e+03 4.1859438057577918e+03 4.0349914227695804e+03 3.9030938541980968e+03 3.7875102232831396e+03 3.6862055961469855e+03 3.5974136272993733e+03 3.5198746567788489e+03 3.4523821912016519e+03 3.3939351171724124e+03 3.3437470604015780e+03 3.3010058015341124e+03 3.2649113327654727e+03 3.2348646975627403e+03 3.2101357110286976e+03 3.1901498183441017e+03 3.1742615674791205e+03 3.1618885973918523e+03 3.1522547447435873e+03 3.1446145345889649e+03 3.1383806573661832e+03 3.1330120612292326e+03 3.1280034415488703e+03 3.1244779106659030e+03 3.1209240364857442e+03 3.1173003817037297e+03 3.1135059015430074e+03 3.1095917755428814e+03 3.1054485210984549e+03 3.1011994071004060e+03 3.0964887432109526e+03 3.0914472435522548e+03 3.0859821207741516e+03 3.0800209184015653e+03 3.0734755909536671e+03 3.0662469530256408e+03 3.0581957269399927e+03 3.0493233999859099e+03 3.0393158265043448e+03 3.0280954788692056e+03 3.0154995437237508e+03 3.0013528106746903e+03 2.9854745936029049e+03 2.9676836605258341e+03 2.9477826846124512e+03 2.9257845582174336e+03 2.9013242887111624e+03 2.8744774518984191e+03 2.8453061697130724e+03 2.8140392651621974e+03 2.7810660552528079e+03 2.7471275493634153e+03 2.7133292632789885e+03 2.6814642503310938e+03 2.6538210854009458e+03 2.6339483628186654e+03 2.6268027682684096e+03 2.6395786773173741e+03 2.6827544207024312e+03 2.7722081263193654e+03 2.9330772267361458e+03 3.2076941781754317e+03 2.3045360272816873e+02 +2.3494337108594330e+01 2.5114949724204380e+04 2.5111819472294017e+04 2.5107000645215976e+04 2.5100084779711189e+04 2.5091822239333404e+04 2.5083799178195779e+04 2.5076902608747736e+04 2.5069801238779663e+04 2.5060841172510678e+04 2.5049275495382666e+04 2.5034802287473256e+04 2.5016966935420482e+04 2.4995171108485491e+04 2.4968734429801745e+04 2.4936897969632661e+04 2.4898773521591527e+04 2.4853294750359048e+04 2.4799205918938485e+04 2.4735047948844447e+04 2.4659130880293269e+04 2.4569508532326035e+04 2.4463920408964430e+04 2.4339390651219397e+04 2.4190802916113760e+04 2.4012107553704613e+04 2.3800606502414525e+04 2.3554203336349252e+04 2.3269109732696084e+04 2.2940736151858244e+04 2.2564269827247535e+04 2.2134909841354263e+04 2.1648090837353764e+04 2.1099765573626606e+04 2.0486752531459035e+04 1.9807144775722991e+04 1.9060755316599138e+04 1.8249572024153887e+04 1.7378165563783725e+04 1.6453988012857619e+04 1.5487479784731864e+04 1.4417022152113517e+04 1.3332551258779584e+04 1.2255568140439947e+04 1.1208024783801817e+04 1.0210541233785543e+04 9.2806713607476959e+03 8.4315138073227754e+03 7.6709075898876008e+03 7.0013347532359849e+03 6.4204501807836059e+03 5.9221360797517800e+03 5.4978852299032960e+03 5.1381217084260998e+03 4.8330010304800544e+03 4.5733801471022034e+03 4.3513553026811651e+03 4.1602858291500725e+03 3.9948480013856138e+03 3.8508036362358393e+03 3.7249380940821575e+03 3.6146368836334232e+03 3.5179591674071312e+03 3.4332203094065435e+03 3.3592189841829609e+03 3.2948044596283416e+03 3.2390218411406308e+03 3.1911210139922678e+03 3.1503271413233356e+03 3.1158769362988178e+03 3.0871989054774185e+03 3.0635963034761453e+03 3.0445207979459233e+03 3.0293563928892286e+03 3.0175472456535781e+03 3.0083525353394857e+03 3.0010607456081198e+03 2.9951112624389480e+03 2.9899876518892593e+03 2.9852076434504615e+03 2.9818430481370979e+03 2.9784514087201696e+03 2.9749931764756443e+03 2.9713719179704267e+03 2.9676364757714687e+03 2.9636823711440270e+03 2.9596272152274860e+03 2.9551315976061528e+03 2.9503202470276451e+03 2.9451046119422763e+03 2.9394155435595208e+03 2.9331690157306634e+03 2.9262703709338180e+03 2.9185866956309678e+03 2.9101193793330676e+03 2.9005686591176077e+03 2.8898605286680568e+03 2.8778396071885577e+03 2.8643386827877512e+03 2.8491853178287502e+03 2.8322065537394742e+03 2.8132140776611695e+03 2.7922201646952562e+03 2.7688765246749194e+03 2.7432552661251207e+03 2.7154156751362943e+03 2.6855761288185618e+03 2.6541081716086155e+03 2.6217189852454799e+03 2.5894636231919621e+03 2.5590532580435411e+03 2.5326720263040670e+03 2.5137065102218676e+03 2.5068871239356436e+03 2.5190798036850301e+03 2.5602845384477941e+03 2.6456546095468730e+03 2.7991799135604542e+03 3.0612603600334983e+03 2.1934818047114894e+02 +2.3550966022651625e+01 2.4031495612073752e+04 2.4028492408330578e+04 2.4023879092989398e+04 2.4017256231797630e+04 2.4009340336551923e+04 2.4001647445117873e+04 2.3995026166411979e+04 2.3988203442161692e+04 2.3979596342447916e+04 2.3968488843355102e+04 2.3954590518659737e+04 2.3937464908327951e+04 2.3916537796023458e+04 2.3891156114746773e+04 2.3860591417613272e+04 2.3823991199548185e+04 2.3780332007419136e+04 2.3728408624442203e+04 2.3666820719812182e+04 2.3593946478930880e+04 2.3507918329142656e+04 2.3406567260342305e+04 2.3287038134815033e+04 2.3144422047736156e+04 2.2972914370932864e+04 2.2769928369889643e+04 2.2533456717849862e+04 2.2259869588679503e+04 2.1944769973516126e+04 2.1583549078422624e+04 2.1171612503559252e+04 2.0704595475337745e+04 2.0178634466083848e+04 1.9590701055247973e+04 1.8938994209712677e+04 1.8223367079435338e+04 1.7445762218822096e+04 1.6610600846171445e+04 1.5725066245497990e+04 1.4799202410269649e+04 1.3774048076493807e+04 1.2735796135262297e+04 1.1705051089018412e+04 1.0702823675899164e+04 9.7488227510724410e+03 8.8597981085909305e+03 8.0482177672945190e+03 7.3215075253488958e+03 6.6819677992470706e+03 6.1272892521766580e+03 5.6515674368481741e+03 5.2466282550272554e+03 4.9032906645040748e+03 4.6121300669646316e+03 4.3644020425173430e+03 4.1525530241620472e+03 3.9702404279537004e+03 3.8123818952103766e+03 3.6749329069496621e+03 3.5548265688913493e+03 3.4495690188393146e+03 3.3573092160957804e+03 3.2764404970209839e+03 3.2058171993549613e+03 3.1443418030167436e+03 3.0911035212860402e+03 3.0453868450753280e+03 3.0064526177343969e+03 2.9735726059185945e+03 2.9462015336906770e+03 2.9236745801897778e+03 2.9054684521052773e+03 2.8909952800152632e+03 2.8797245457487143e+03 2.8709491795419322e+03 2.8639900939439408e+03 2.8583121709331931e+03 2.8534224869558984e+03 2.8488607671477398e+03 2.8456498396597085e+03 2.8424131083092184e+03 2.8391128278219244e+03 2.8356569679245763e+03 2.8320921397920365e+03 2.8283186422641011e+03 2.8244486858037912e+03 2.8201584025204588e+03 2.8155668070267270e+03 2.8105893922753753e+03 2.8051601677801609e+03 2.7991989452083330e+03 2.7926153904269286e+03 2.7852826663200544e+03 2.7772020705616387e+03 2.7680875712801130e+03 2.7578685253542290e+03 2.7463966488836495e+03 2.7335123672463810e+03 2.7190511187746870e+03 2.7028478446636386e+03 2.6847228386326342e+03 2.6646877878864098e+03 2.6424103483352205e+03 2.6179593187002101e+03 2.5913912772941990e+03 2.5629146270917017e+03 2.5328839425824040e+03 2.5019741055998006e+03 2.4711919859704290e+03 2.4421705748042177e+03 2.4169942849632730e+03 2.3988950041970766e+03 2.3923870936875833e+03 2.4040228837995246e+03 2.4433456244370059e+03 2.5248164856420831e+03 2.6713296524546190e+03 2.9214397670172498e+03 2.0877428315790075e+02 +2.3607594936708921e+01 2.2994057208864338e+04 2.2991175329507674e+04 2.2986759055662977e+04 2.2980417220055511e+04 2.2972833644181275e+04 2.2965457502244713e+04 2.2959100823622670e+04 2.2952546127277095e+04 2.2944278480499586e+04 2.2933611494002456e+04 2.2920265812834547e+04 2.2903822424619244e+04 2.2883730276203431e+04 2.2859362545303949e+04 2.2830020069272203e+04 2.2794884645289196e+04 2.2752974019374815e+04 2.2703131511060496e+04 2.2644013228503016e+04 2.2574062820863594e+04 2.2491488224151028e+04 2.2394208299131533e+04 2.2279483847103147e+04 2.2142605187816527e+04 2.1978003028666160e+04 2.1783197477651254e+04 2.1556266607381738e+04 2.1293732607244976e+04 2.0991383105319044e+04 2.0644804831179492e+04 2.0249601221553567e+04 1.9801599481225705e+04 1.9297111675068725e+04 1.8733255367247210e+04 1.8108329971249590e+04 1.7422225728699163e+04 1.6676840062359886e+04 1.5876448983909366e+04 1.5027976012986070e+04 1.4141083041019563e+04 1.3159353718187627e+04 1.2165389824061333e+04 1.1178935613358810e+04 1.0220099867465162e+04 9.3077195347180659e+03 8.4577762969615178e+03 7.6821371338491299e+03 6.9878355625920703e+03 6.3770015912539775e+03 5.8473633332937870e+03 5.3932231911835597e+03 5.0067278470904512e+03 4.6790754276476719e+03 4.4012437801644346e+03 4.1648701086271130e+03 3.9627358093142880e+03 3.7887832235395831e+03 3.6381605805346576e+03 3.5070082982289464e+03 3.3924005254569547e+03 3.2919585312016065e+03 3.2039169656846498e+03 3.1267435691750843e+03 3.0593457920488227e+03 3.0006768920655977e+03 2.9498681747120731e+03 2.9062371571212930e+03 2.8690787371443857e+03 2.8376981422340923e+03 2.8115751241550697e+03 2.7900753393912837e+03 2.7726994029463494e+03 2.7588863017749886e+03 2.7481297013237713e+03 2.7397547624075046e+03 2.7331133647690390e+03 2.7276947400184395e+03 2.7230284166868541e+03 2.7186751232971560e+03 2.7156109200868127e+03 2.7125220969476795e+03 2.7093726307110874e+03 2.7060746953694179e+03 2.7026727715602669e+03 2.6990717195247285e+03 2.6953785945835812e+03 2.6912843669645772e+03 2.6869025962392225e+03 2.6821526371064424e+03 2.6769715146673161e+03 2.6712827049764414e+03 2.6650000019320355e+03 2.6580023699651410e+03 2.6502910205155731e+03 2.6415930302555994e+03 2.6318409681536818e+03 2.6208933265023643e+03 2.6085978228511931e+03 2.5947974155905968e+03 2.5793345887115315e+03 2.5620378533108974e+03 2.5429183366668390e+03 2.5216589182298831e+03 2.4983252373213445e+03 2.4729712868296842e+03 2.4457959463020065e+03 2.4171375871208165e+03 2.3876402507702278e+03 2.3582648005060887e+03 2.3305695800959061e+03 2.3065437832735092e+03 2.2892715943868352e+03 2.2830610844016587e+03 2.2941651495156061e+03 2.3316909395459647e+03 2.4094387882013389e+03 2.5492566815615937e+03 2.7879373799631044e+03 1.9870666443247933e+02 +2.3664223850766216e+01 2.2000715189368464e+04 2.1997949896919024e+04 2.1993722120538678e+04 2.1987649696272627e+04 2.1980384651070486e+04 2.1973312529160467e+04 2.1967210150501993e+04 2.1960913250311100e+04 2.1952972036329324e+04 2.1942728555520946e+04 2.1929914110922353e+04 2.1914126457789207e+04 2.1894836792638434e+04 2.1871443513615795e+04 2.1843275588115259e+04 2.1809547770333407e+04 2.1769317386295279e+04 2.1721474383499568e+04 2.1664729088656339e+04 2.1597588035652312e+04 2.1518331688020102e+04 2.1424963301434724e+04 2.1314855017850892e+04 2.1183488483976773e+04 2.1025520428391570e+04 2.0838573492568521e+04 2.0620807598139727e+04 2.0368890726708301e+04 2.0078787564435639e+04 1.9746272255769098e+04 1.9367137747970177e+04 1.8937394978435990e+04 1.8453523831839291e+04 1.7912781062503927e+04 1.7313561340162545e+04 1.6655789131718746e+04 1.5941316978061477e+04 1.5174279838978713e+04 1.4361350228422763e+04 1.3511821772009900e+04 1.2571715149432890e+04 1.1620187162329830e+04 1.0676156688664214e+04 9.7588682578754451e+03 8.8863245504310744e+03 8.0737735356340590e+03 7.3325093894816300e+03 6.6691932629558578e+03 6.0857953456440400e+03 5.5800826486603000e+03 5.1465580709622946e+03 4.7776771534022128e+03 4.4650020751155471e+03 4.1998963884269233e+03 3.9743626220492674e+03 3.7815025570932112e+03 3.6155308706389815e+03 3.4718160740353865e+03 3.3466751817282643e+03 3.2373169828784571e+03 3.1414726267205328e+03 3.0574585337211724e+03 2.9838134408111359e+03 2.9194954757952646e+03 2.8635063500903202e+03 2.8150175366796238e+03 2.7733780707064534e+03 2.7379153519859683e+03 2.7079665475572551e+03 2.6830353004299868e+03 2.6625163620448466e+03 2.6459331754136615e+03 2.6327503703095986e+03 2.6224847056751091e+03 2.6144921199605233e+03 2.6081540634731996e+03 2.6029830219727914e+03 2.5985299647707707e+03 2.5943756757400233e+03 2.5914515631974455e+03 2.5885039608787129e+03 2.5854984900019490e+03 2.5823513388043698e+03 2.5791049537378849e+03 2.5756685499451578e+03 2.5721442620799985e+03 2.5682372256528165e+03 2.5640557926716688e+03 2.5595230049804554e+03 2.5545787669168731e+03 2.5491500532498494e+03 2.5431545992596984e+03 2.5364769083348360e+03 2.5291181109673298e+03 2.5208177977512605e+03 2.5115116053384768e+03 2.5010644958439548e+03 2.4893311492747798e+03 2.4761617040711235e+03 2.4614058459757184e+03 2.4448999316610139e+03 2.4266545551102495e+03 2.4063671291491441e+03 2.3841002773382788e+03 2.3599055240382663e+03 2.3339726559517180e+03 2.3066245739614069e+03 2.2784758736108311e+03 2.2504434914768476e+03 2.2240145002982540e+03 2.2010871782006893e+03 2.1846046851166607e+03 2.1786781287359277e+03 2.1892745101533942e+03 2.2250845967579339e+03 2.2992777647916578e+03 2.4327031037219876e+03 2.6604711552818494e+03 1.8912126682002028e+02 +2.3720852764823512e+01 2.1049628798652502e+04 2.1046975487678552e+04 2.1042928460719839e+04 2.1037114011438760e+04 2.1030154328682904e+04 2.1023373968441345e+04 2.1017515915636934e+04 2.1011466966707572e+04 2.1003839642406674e+04 2.0994003295343093e+04 2.0981699482863514e+04 2.0966542073529028e+04 2.0948023635455145e+04 2.0925566801878147e+04 2.0898527559805778e+04 2.0866152326514246e+04 2.0827536450589825e+04 2.0781614671907730e+04 2.0727149400459581e+04 2.0662707574223423e+04 2.0586639317601286e+04 2.0497028938683838e+04 2.0391355499036734e+04 2.0265284378937507e+04 2.0113689371927554e+04 1.9934291512565153e+04 1.9725329164934679e+04 1.9483610127373424e+04 1.9205268868065134e+04 1.8886259164957974e+04 1.8522555490905652e+04 1.8110344614733414e+04 1.7646266802160408e+04 1.7127711508504424e+04 1.6553163721976020e+04 1.5922579440848433e+04 1.5237766633669897e+04 1.4502723277102989e+04 1.3723879374150960e+04 1.2910173653730446e+04 1.2009960416546555e+04 1.1099091841147680e+04 1.0195694937607324e+04 9.3181861626866630e+03 8.4837699902949298e+03 7.7069935781774257e+03 6.9986052446947915e+03 6.3649127149756168e+03 5.8077363531793326e+03 5.3248833087001103e+03 4.9110507667161301e+03 4.5589916126586695e+03 4.2606175362622253e+03 4.0076617276740376e+03 3.7924764189515367e+03 3.6084698177492214e+03 3.4501168927645090e+03 3.3129965841104231e+03 3.1935945324179343e+03 3.0892480506382658e+03 2.9977931534768186e+03 2.9176242879040083e+03 2.8473479342883011e+03 2.7859705729019524e+03 2.7325401496929480e+03 2.6862664673854742e+03 2.6465286389454577e+03 2.6126850835503424e+03 2.5841034549404262e+03 2.5603102018743457e+03 2.5407278503119915e+03 2.5249016391651053e+03 2.5123206816214115e+03 2.5025237885038905e+03 2.4948962876372907e+03 2.4888478654532905e+03 2.4839132150182545e+03 2.4796637801040961e+03 2.4756994941586145e+03 2.4729091349735763e+03 2.4700963647960066e+03 2.4672283749844710e+03 2.4642251864720783e+03 2.4611273035899053e+03 2.4578480990953349e+03 2.4544850109297931e+03 2.4507566971874526e+03 2.4467665387055094e+03 2.4424410976624654e+03 2.4377230273818250e+03 2.4325426430602001e+03 2.4268214430577013e+03 2.4204492188823588e+03 2.4134270250367117e+03 2.4055063980896771e+03 2.3966259043811028e+03 2.3866566831563960e+03 2.3754600618911309e+03 2.3628930342575572e+03 2.3488121619479480e+03 2.3330612920171461e+03 2.3156505105397005e+03 2.2962911044678835e+03 2.2750428187837188e+03 2.2519548209939526e+03 2.2272082163123287e+03 2.2011111350029814e+03 2.1742500587922259e+03 2.1474999845663024e+03 2.1222799394776257e+03 2.1004013974208283e+03 2.0846728745089417e+03 2.0790174254873077e+03 2.0891290906096938e+03 2.1233010917417168e+03 2.1941003918604160e+03 2.3214223732477017e+03 2.5387714636669471e+03 1.7999516628616146e+02 +2.3777481678880807e+01 2.0139032777169323e+04 2.0136486633877052e+04 2.0132612561459580e+04 2.0127045447365788e+04 2.0120378690700720e+04 2.0113878259377176e+04 2.0108254988922883e+04 2.0102444518004850e+04 2.0095119005489516e+04 2.0085674032693219e+04 2.0073861021290257e+04 2.0059309324702805e+04 2.0041532037663248e+04 2.0019975080919798e+04 1.9994020393022915e+04 1.9962944809719284e+04 1.9925880204083689e+04 1.9881804343116539e+04 1.9829529666509385e+04 1.9767681130667232e+04 1.9694675764348114e+04 1.9608675714192017e+04 1.9507262710946514e+04 1.9386278568139569e+04 1.9240805532639115e+04 1.9068659054367294e+04 1.8868152671107426e+04 1.8636228260970998e+04 1.8369183089014368e+04 1.8063143099981658e+04 1.7714256634787456e+04 1.7318878723171019e+04 1.6873802893434546e+04 1.6376545104626601e+04 1.5825675966894332e+04 1.5221180479012563e+04 1.4564822401414393e+04 1.3860466710087199e+04 1.3114309134291010e+04 1.2334946422331741e+04 1.1472967382665855e+04 1.0601054367356079e+04 9.7365747160169485e+03 8.8971515255859213e+03 8.0992256108807578e+03 7.3566747835616807e+03 6.6797272178981930e+03 6.0743552250743842e+03 5.5422387714001443e+03 5.0812261937933281e+03 4.6862028966259877e+03 4.3502079913884600e+03 4.0654886906228062e+03 3.8241324026269385e+03 3.6188260919160989e+03 3.4432710289863230e+03 3.2921909522407655e+03 3.1613658102215095e+03 3.0474422533834772e+03 2.9478802756417031e+03 2.8606159680415008e+03 2.7841182294326759e+03 2.7170581775529317e+03 2.6584884255041015e+03 2.6075010350290886e+03 2.5633423838963577e+03 2.5254202877261196e+03 2.4931227692750313e+03 2.4658465813999396e+03 2.4431399418291858e+03 2.4244518898126266e+03 2.4093484741301636e+03 2.3973421837524793e+03 2.3879928861569620e+03 2.3807139721089629e+03 2.3749420891931422e+03 2.3702331374642608e+03 2.3661781118368149e+03 2.3623952299555790e+03 2.3597325700618408e+03 2.3570485289051812e+03 2.3543117970360008e+03 2.3514460546625410e+03 2.3484899519225696e+03 2.3453608307535364e+03 2.3421516462442314e+03 2.3385939652095958e+03 2.3347864230903924e+03 2.3306589430528238e+03 2.3261568029710029e+03 2.3212135072689157e+03 2.3157541470437482e+03 2.3096735623025434e+03 2.3029727362548779e+03 2.2954146089554283e+03 2.2869405445684147e+03 2.2774275798552571e+03 2.2667433888676032e+03 2.2547515102007451e+03 2.2413150702484431e+03 2.2262850671548713e+03 2.2096711032751314e+03 2.1911977099881810e+03 2.1709218847170573e+03 2.1488905447944890e+03 2.1252765069173324e+03 2.1003737993177692e+03 2.0747420624885417e+03 2.0492162518232994e+03 2.0251504300920478e+03 2.0042731946465310e+03 1.9892645131395884e+03 1.9838678994479792e+03 1.9935167890823559e+03 2.0261248533250880e+03 2.0936839102254544e+03 2.2151788044501991e+03 2.4225805526215586e+03 1.7130651935285252e+02 +2.3834110592938103e+01 1.9267233525271291e+04 1.9264790351083386e+04 1.9261082275111730e+04 1.9255751874078596e+04 1.9249365844182375e+04 1.9243134016750166e+04 1.9237736365616460e+04 1.9232155243557751e+04 1.9225119918361364e+04 1.9216051150714800e+04 1.9204709854851186e+04 1.9190740265758821e+04 1.9173675191282062e+04 1.9152982928047528e+04 1.9128070339613492e+04 1.9098243482737358e+04 1.9062669314276078e+04 1.9020366930665470e+04 1.8970196826548294e+04 1.8910839682531619e+04 1.8840776781156408e+04 1.8758245017775505e+04 1.8660924706095113e+04 1.8544827074521025e+04 1.8405234543758233e+04 1.8240053157566323e+04 1.8047668491325534e+04 1.7825150995111126e+04 1.7568954025533039e+04 1.7275368529518859e+04 1.6940709373208370e+04 1.6561492593842242e+04 1.6134658170808125e+04 1.5657842649025508e+04 1.5129697793855203e+04 1.4550235228354548e+04 1.3921174918455818e+04 1.3246252735798927e+04 1.2531438121774703e+04 1.1784998320903565e+04 1.0959661657599458e+04 1.0125070108139940e+04 9.2978622766233420e+03 8.4949012037504835e+03 7.7318971400396276e+03 7.0220886417134589e+03 6.3752082745011130e+03 5.7969100630764642e+03 5.2887424677760400e+03 4.8485958854202690e+03 4.4715380155873272e+03 4.1508834612194250e+03 3.8792015042457356e+03 3.6489189739995686e+03 3.4530432209053452e+03 3.2855557845040207e+03 3.1414181511912784e+03 3.0166022719720390e+03 2.9079085293144667e+03 2.8129140169338170e+03 2.7296503287776372e+03 2.6566574025293521e+03 2.5926680278391013e+03 2.5367788316046099e+03 2.4881239685613918e+03 2.4459847161797602e+03 2.4097962796811616e+03 2.3789749334802709e+03 2.3529452043591446e+03 2.3312760888024504e+03 2.3134419347083553e+03 2.2990286587515061e+03 2.2875710675412452e+03 2.2786491343366424e+03 2.2717030455266977e+03 2.2661951917347401e+03 2.2617017241703302e+03 2.2578323066845774e+03 2.2542226143726507e+03 2.2516818704678926e+03 2.2491207281771017e+03 2.2465093094699687e+03 2.2437747881513819e+03 2.2409540441688009e+03 2.2379682086435446e+03 2.2349059580438911e+03 2.2315111815803434e+03 2.2278779849395619e+03 2.2239395000564718e+03 2.2196435104864008e+03 2.2149265654359610e+03 2.2097171860267458e+03 2.2039150318762045e+03 2.1975210193036010e+03 2.1903089737343744e+03 2.1822229311433202e+03 2.1731455587045148e+03 2.1629505896058790e+03 2.1515078109357246e+03 2.1386866164718631e+03 2.1243448313363951e+03 2.1084915972031954e+03 2.0908640884412821e+03 2.0715166800284401e+03 2.0504941410396527e+03 2.0279613750385297e+03 2.0041989469232915e+03 1.9797408716137631e+03 1.9553838763137687e+03 1.9324200027479119e+03 1.9124987238187130e+03 1.8981772814269327e+03 1.8930277799409771e+03 1.9022348535522906e+03 1.9333498130533976e+03 1.9978153802848535e+03 2.1137471010423310e+03 2.3116520317922832e+03 1.6303451265421592e+02 +2.3890739506995399e+01 1.8432607488799142e+04 1.8430262986588939e+04 1.8426713730480944e+04 1.8421610330743555e+04 1.8415493334834417e+04 1.8409519156718048e+04 1.8404338289600117e+04 1.8398977709980780e+04 1.8392221386959562e+04 1.8383514223820595e+04 1.8372626276646952e+04 1.8359216082286934e+04 1.8342835378250504e+04 1.8322973959926483e+04 1.8299062629600114e+04 1.8270435512865843e+04 1.8236293265035481e+04 1.8195694679436187e+04 1.8147546406588226e+04 1.8090582645280669e+04 1.8023346383332850e+04 1.7944146294147966e+04 1.7850757346417919e+04 1.7739353436585487e+04 1.7605409199265669e+04 1.7446917600965691e+04 1.7262333245906728e+04 1.7048849868655689e+04 1.6803070480999460e+04 1.6521444157838192e+04 1.6200445249624725e+04 1.5836743852195894e+04 1.5427419878542698e+04 1.4970224808840856e+04 1.4463887316239474e+04 1.3908443417999983e+04 1.3305569744170140e+04 1.2658876872184042e+04 1.1974115696321307e+04 1.1259236008351185e+04 1.0469014611228360e+04 9.6701774150480323e+03 8.8786640080149955e+03 8.1106093237640716e+03 7.3810247496406855e+03 6.7025383603090258e+03 6.0844105229639608e+03 5.5319932604041514e+03 5.0467119116479917e+03 4.6264996424141254e+03 4.2666006662334257e+03 3.9605947152465578e+03 3.7013602026512949e+03 3.4816491802010019e+03 3.2947756368291730e+03 3.1349891336237029e+03 2.9974783622204282e+03 2.8783986666599048e+03 2.7746972074024720e+03 2.6840628469629778e+03 2.6046183148852870e+03 2.5349713290272889e+03 2.4739135198275198e+03 2.4205835050824371e+03 2.3741556013334261e+03 2.3339443862486905e+03 2.2994112009485716e+03 2.2699992805906472e+03 2.2451596603295466e+03 2.2244811696969505e+03 2.2074623146785902e+03 2.1937079799815751e+03 2.1827742790293682e+03 2.1742603823844397e+03 2.1676320612667841e+03 2.1623762855859632e+03 2.1580885444048922e+03 2.1543963276144300e+03 2.1509519779449652e+03 2.1485276255427534e+03 2.1460838128926334e+03 2.1435920286246574e+03 2.1409827818869535e+03 2.1382912626761922e+03 2.1354422193582636e+03 2.1325202448176465e+03 2.1292809906654606e+03 2.1258142387919870e+03 2.1220561844821768e+03 2.1179570034328535e+03 2.1134561516537528e+03 2.1084854248543097e+03 2.1029490836285254e+03 2.0968479815611013e+03 2.0899663345930039e+03 2.0822507301103255e+03 2.0735892105493858e+03 2.0638612936502927e+03 2.0529427318436187e+03 2.0407089022697032e+03 2.0270241474371744e+03 2.0118971702953745e+03 1.9950772137568504e+03 1.9766161498421329e+03 1.9565566967074242e+03 1.9350562033861390e+03 1.9123823815453054e+03 1.8890447817854326e+03 1.8658036352764636e+03 1.8438917742569788e+03 1.8248831314203615e+03 1.8112177849855307e+03 1.8063041972648412e+03 1.8150894762726239e+03 1.8447789930458191e+03 1.9062912561230619e+03 2.0169119055293409e+03 2.2057503801714365e+03 1.5515931482133186e+02 +2.3947368421052694e+01 1.7633596957404880e+04 1.7631347128138495e+04 1.7627949984033756e+04 1.7623063948491977e+04 1.7617204994093507e+04 1.7611478040293343e+04 1.7606505480018121e+04 1.7601356950691774e+04 1.7594868867896599e+04 1.7586509256018580e+04 1.7576056983558716e+04 1.7563184331294276e+04 1.7547461212203529e+04 1.7528398076002162e+04 1.7505448716717332e+04 1.7477974220172538e+04 1.7445207607965065e+04 1.7406245800534984e+04 1.7360039778259285e+04 1.7305375136782819e+04 1.7240854119097599e+04 1.7164854320841561e+04 1.7075241589878082e+04 1.6968346005258350e+04 1.6839826763278339e+04 1.6687760226759528e+04 1.6510667142453949e+04 1.6305859453694853e+04 1.6070083649579412e+04 1.5799940337705322e+04 1.5492056602015569e+04 1.5143249939898287e+04 1.4750733962394183e+04 1.4312369689901763e+04 1.3826958664966554e+04 1.3294559207441045e+04 1.2716805110472562e+04 1.2097185381574705e+04 1.1441239869803627e+04 1.0756612552388124e+04 1.0000041467427476e+04 9.2354558244211057e+03 8.4781247455997800e+03 7.7434857052016259e+03 7.0458815914959987e+03 6.3973575105279060e+03 5.8067239653214965e+03 5.2790464587588885e+03 4.8156351128343549e+03 4.4144664205175868e+03 4.0709554701428178e+03 3.7789371218728702e+03 3.5315864789075235e+03 3.3219671920950377e+03 3.1436867164302853e+03 2.9912509106584248e+03 2.8600655875263647e+03 2.7464612541526189e+03 2.6475252045923407e+03 2.5610529783248680e+03 2.4852542701621646e+03 2.4188014669987201e+03 2.3605423372854921e+03 2.3096555586345280e+03 2.2653537657573129e+03 2.2269833094566175e+03 2.1940304697447827e+03 2.1659642099125308e+03 2.1422608649190147e+03 2.1225281941656558e+03 2.1062877628558908e+03 2.0931625641166838e+03 2.0827290525922022e+03 2.0746047282130462e+03 2.0682797902747120e+03 2.0632646761775218e+03 2.0591733402135774e+03 2.0556502930001107e+03 2.0523637903923704e+03 2.0500505524029149e+03 2.0477187495710334e+03 2.0453411753402124e+03 2.0428515230150235e+03 2.0402833692940389e+03 2.0375649155636188e+03 2.0347768573656224e+03 2.0316860738758112e+03 2.0283782198792785e+03 2.0247924151242653e+03 2.0208811189759986e+03 2.0165865624549315e+03 2.0118436673817287e+03 2.0065610864944083e+03 2.0007396145594428e+03 1.9941733854224092e+03 1.9868114228271943e+03 1.9785469007533679e+03 1.9692648592129847e+03 1.9588467455003092e+03 1.9471736488224278e+03 1.9341161333579823e+03 1.9196824842460098e+03 1.9036334643022797e+03 1.8860185566905188e+03 1.8668785216403453e+03 1.8463634961828923e+03 1.8247289215377266e+03 1.8024609932371395e+03 1.7802851010137426e+03 1.7593775532104191e+03 1.7412401661054305e+03 1.7282011671893206e+03 1.7235127963165144e+03 1.7318954054993715e+03 1.7602241113828113e+03 1.8189169777479747e+03 1.9244673677789895e+03 2.1046504742705692e+03 1.4766203058980528e+02 +2.4003997335109990e+01 1.6868708639499207e+04 1.6866549418964012e+04 1.6863297930010049e+04 1.6858620439554816e+04 1.6853008629571657e+04 1.6847518877399383e+04 1.6842746468381316e+04 1.6837801811165617e+04 1.6831571612555555e+04 1.6823546025974316e+04 1.6813512422299435e+04 1.6801156288236733e+04 1.6786064986733480e+04 1.6767768808637138e+04 1.6745743630615234e+04 1.6719376431988807e+04 1.6687931319910807e+04 1.6650541832496372e+04 1.6606201524136537e+04 1.6553745347786753e+04 1.6491832446078726e+04 1.6418906591638315e+04 1.6332920882197592e+04 1.6230355345579923e+04 1.6107046383842468e+04 1.5961150368791588e+04 1.5791251420950657e+04 1.5594774820266095e+04 1.5368604603709049e+04 1.5109486584395756e+04 1.4814194107270354e+04 1.4479685694403444e+04 1.4103302689310292e+04 1.3683010502128269e+04 1.3217679705614117e+04 1.2707388961565444e+04 1.2153729761534496e+04 1.1560073181980535e+04 1.0931755295632705e+04 1.0276125503488222e+04 9.5517994751633614e+03 8.8200243311588274e+03 8.0954261518648264e+03 7.3927743492760328e+03 6.7257723940806036e+03 6.1059087291953347e+03 5.5415653001549299e+03 5.0375358072831123e+03 4.5950226050851361e+03 4.2120459334706884e+03 3.8841862576044764e+03 3.6055239146144036e+03 3.3695187353688584e+03 3.1695328994635447e+03 2.9994547071699808e+03 2.8540350928164753e+03 2.7288873453008564e+03 2.6205092679073650e+03 2.5261219400340733e+03 2.4436227148667381e+03 2.3713042704229442e+03 2.3079006924326736e+03 2.2523133071820116e+03 2.2037590087487110e+03 2.1614869900008125e+03 2.1248739170140070e+03 2.0934298658656389e+03 2.0666483510701473e+03 2.0440298532816403e+03 2.0252001992270857e+03 2.0097029638647994e+03 1.9971784276133831e+03 1.9872224639698932e+03 1.9794700730538059e+03 1.9734347771437820e+03 1.9686494190181270e+03 1.9647455844480237e+03 1.9613840354110121e+03 1.9582482201068483e+03 1.9560410559016868e+03 1.9538161814588914e+03 1.9515476359395739e+03 1.9491721524082186e+03 1.9467217674632982e+03 1.9441279786652674e+03 1.9414677620566947e+03 1.9385187135838505e+03 1.9353625487728445e+03 1.9319411791623304e+03 1.9282092441896782e+03 1.9241116239829371e+03 1.9195862246633778e+03 1.9145458916474520e+03 1.9089913645635922e+03 1.9027262438070020e+03 1.8957018795569595e+03 1.8878163445348807e+03 1.8789599504976593e+03 1.8690195812418149e+03 1.8578817789069835e+03 1.8454230468870066e+03 1.8316512724353129e+03 1.8163382142902685e+03 1.7995310757140476e+03 1.7812687478322423e+03 1.7616944828562246e+03 1.7410520082265461e+03 1.7198052239489425e+03 1.6986462587758865e+03 1.6786974623496367e+03 1.6613918049721879e+03 1.6489507382339423e+03 1.6444773666596539e+03 1.6524755737729188e+03 1.6795052042921293e+03 1.7355065806682139e+03 1.8362167319598666e+03 2.0081371363867495e+03 1.4052465702873565e+02 +2.4060626249167285e+01 1.6136510038879802e+04 1.6134437985396820e+04 1.6131326208390992e+04 1.6126848162049744e+04 1.6121473438014918e+04 1.6116211200620093e+04 1.6111631050480319e+04 1.6106882396950637e+04 1.6100900113679381e+04 1.6093195534985382e+04 1.6083564238229899e+04 1.6071704396787236e+04 1.6057220126509917e+04 1.6039660775818342e+04 1.6018523431513802e+04 1.5993219940137131e+04 1.5963044262987825e+04 1.5927165104657204e+04 1.5884616905256704e+04 1.5834282014214743e+04 1.5774874209371930e+04 1.5704900801425643e+04 1.5622398649805536e+04 1.5523991739446819e+04 1.5405686607271913e+04 1.5265716380740416e+04 1.5102725898195618e+04 1.4914249099805873e+04 1.4697301879723991e+04 1.4448769186857937e+04 1.4165564421933403e+04 1.3844781023547741e+04 1.3483882360854235e+04 1.3080933316990451e+04 1.2634869845774376e+04 1.2145789114081237e+04 1.1615240879693269e+04 1.1046481841833078e+04 1.0444651338947551e+04 9.8168150465623221e+03 9.1233861538442288e+03 8.4230397329469633e+03 7.7297851631716812e+03 7.0577519899024801e+03 6.4200321175090921e+03 5.8275824751524306e+03 5.2883767757155865e+03 4.8069509061240042e+03 4.3844064724799855e+03 4.0188077538177295e+03 3.7058952343363985e+03 3.4399854163343489e+03 3.2148113576965475e+03 3.0240212278447975e+03 2.8617720808559939e+03 2.7230491854787588e+03 2.6036640822614445e+03 2.5002743511231579e+03 2.4102287917110912e+03 2.3315219261948614e+03 2.2625256136069734e+03 2.2020328029681500e+03 2.1489959153616296e+03 2.1026683017558748e+03 2.0623340330559181e+03 2.0273986988577440e+03 1.9973950802395798e+03 1.9718401192421136e+03 1.9502573401349250e+03 1.9322898132853941e+03 1.9175021211285098e+03 1.9055510470418781e+03 1.8960510023330457e+03 1.8886536951812013e+03 1.8828949151313664e+03 1.8783288957237778e+03 1.8746040576454818e+03 1.8713966791961461e+03 1.8684047124224608e+03 1.8662988073860215e+03 1.8641760077501190e+03 1.8620115419530403e+03 1.8597450448769387e+03 1.8574070829579744e+03 1.8549323001211083e+03 1.8523941227131063e+03 1.8495803756390233e+03 1.8465690145657543e+03 1.8433046160947279e+03 1.8397439007766595e+03 1.8358342776073819e+03 1.8315165015357964e+03 1.8267074201637486e+03 1.8214077214341366e+03 1.8154300412527448e+03 1.8087279512079681e+03 1.8012042003986230e+03 1.7927541330351016e+03 1.7832698226441410e+03 1.7726430167794911e+03 1.7607558882666876e+03 1.7476159454606184e+03 1.7330054426073639e+03 1.7169694071043566e+03 1.6995449458151490e+03 1.6808687386431232e+03 1.6611733309549827e+03 1.6409013392609977e+03 1.6207131409341225e+03 1.6016795770388221e+03 1.5851678957528848e+03 1.5732976200168582e+03 1.5690294883599008e+03 1.5766607420256007e+03 1.6024502644463994e+03 1.6558823221485961e+03 1.7519719410846824e+03 1.9160047021177488e+03 1.3373004179426604e+02 +2.4117255163224581e+01 1.5435628369514347e+04 1.5433639756907567e+04 1.5430661690016354e+04 1.5426374761899433e+04 1.5421227222828031e+04 1.5416183297498021e+04 1.5411787836774736e+04 1.5407227618986792e+04 1.5401483651066286e+04 1.5394087554021911e+04 1.5384842823011984e+04 1.5373459817568035e+04 1.5359558737107285e+04 1.5342707232753821e+04 1.5322422763748589e+04 1.5298141056679375e+04 1.5269184743202573e+04 1.5234756299149642e+04 1.5193929427036415e+04 1.5145631987772176e+04 1.5088630217659369e+04 1.5021492429005408e+04 1.4942335890433624e+04 1.4847922785382361e+04 1.4734422989351415e+04 1.4600143260707480e+04 1.4443786608235543e+04 1.4262991143941790e+04 1.4054899157932872e+04 1.3816528912430707e+04 1.3544927915427104e+04 1.3237318671564086e+04 1.2891281116621471e+04 1.2504974913608581e+04 1.2077397929292851e+04 1.1608664115862624e+04 1.1100282093990250e+04 1.0555397655134901e+04 9.9789602244553716e+03 9.3777622273334418e+03 8.7139376100347017e+03 8.0436950421908223e+03 7.3804525003389290e+03 6.7377267046681663e+03 6.1280246644404579e+03 5.5617958376092911e+03 5.0466250912564910e+03 4.5868037945932501e+03 4.1833394170509482e+03 3.8343404519609121e+03 3.5357021836203976e+03 3.2819682965107609e+03 3.0671340197985182e+03 2.8851214845011809e+03 2.7303449148377867e+03 2.5980136336597516e+03 2.4841286112210064e+03 2.3855000168916677e+03 2.2995985762503410e+03 2.2245115445795577e+03 2.1586863316330650e+03 2.1009720428211003e+03 2.0503698428700459e+03 2.0061678600975420e+03 1.9676834396419736e+03 1.9343497660216217e+03 1.9057212836920446e+03 1.8813372893629073e+03 1.8607432985772818e+03 1.8435988387434081e+03 1.8294885426401820e+03 1.8180849474064262e+03 1.8090201606253975e+03 1.8019618418180853e+03 1.7964670393016036e+03 1.7921104081480262e+03 1.7885564429344095e+03 1.7854962361065329e+03 1.7826415858763244e+03 1.7806323414035733e+03 1.7786069807616229e+03 1.7765418677490827e+03 1.7743794073224615e+03 1.7721487625363243e+03 1.7697875806053430e+03 1.7673659003234695e+03 1.7646813097057213e+03 1.7618081758629617e+03 1.7586936194269751e+03 1.7552963475428019e+03 1.7515661832251637e+03 1.7474466008676068e+03 1.7428582683020056e+03 1.7378018250506873e+03 1.7320985308938136e+03 1.7257040784868980e+03 1.7185256809180207e+03 1.7104634862979003e+03 1.7014145221801098e+03 1.6912755051185009e+03 1.6799340197137294e+03 1.6673972134993980e+03 1.6534573583312974e+03 1.6381574050894544e+03 1.6215327574089231e+03 1.6037138213715375e+03 1.5849224681235321e+03 1.5655809972971015e+03 1.5463194767666801e+03 1.5281595791634622e+03 1.5124058142857616e+03 1.5010804061641477e+03 1.4970081929465898e+03 1.5042891588898324e+03 1.5288948946979685e+03 1.5798743233757320e+03 1.6715532584315056e+03 1.8280566063443646e+03 1.2726184331523964e+02 +2.4173884077281876e+01 1.4764746368234739e+04 1.4762838104984552e+04 1.4759988077119564e+04 1.4755884339203123e+04 1.4750954457739501e+04 1.4746119921035701e+04 1.4741901891552892e+04 1.4737522831999755e+04 1.4732007933001927e+04 1.4724908265870203e+04 1.4716034957604455e+04 1.4705110072074314e+04 1.4691769250221207e+04 1.4675597718488927e+04 1.4656132504222107e+04 1.4632832264696368e+04 1.4605047163910496e+04 1.4572012107440223e+04 1.4532838499740572e+04 1.4486497900994535e+04 1.4431806913688515e+04 1.4367392413813162e+04 1.4291448857391955e+04 1.4200871091992029e+04 1.4091985799536766e+04 1.3963170368505145e+04 1.3813183534814560e+04 1.3639763274675366e+04 1.3440173033407929e+04 1.3211558801668734e+04 1.2951096492395893e+04 1.2656132073011659e+04 1.2324356824375236e+04 1.1954020710018209e+04 1.1544180214079835e+04 1.1094964464941242e+04 1.0607841568354406e+04 1.0085849793775478e+04 9.5337552588634335e+03 8.9580872505729876e+03 8.3226269226120130e+03 7.6812179629464454e+03 7.0467112406275928e+03 6.4320365832898242e+03 5.8491416446770672e+03 5.3079913943875636e+03 4.8158003445457125e+03 4.3766279820291838e+03 3.9913938658838360e+03 3.6582507716937016e+03 3.3732437023992870e+03 3.1311348601509071e+03 2.9261710184031981e+03 2.7525367322753787e+03 2.6048922995982421e+03 2.4786612586035840e+03 2.3700255726795176e+03 2.2759411314256818e+03 2.1939950509216264e+03 2.1223630833366815e+03 2.0595647230906147e+03 2.0045026479728849e+03 1.9562245220684388e+03 1.9140516479678788e+03 1.8773331141173667e+03 1.8455284316868297e+03 1.8182127141244121e+03 1.7949465885249169e+03 1.7752965568609864e+03 1.7589378524644128e+03 1.7454742444127166e+03 1.7345933080350333e+03 1.7259440433883208e+03 1.7192093384885277e+03 1.7139665370461862e+03 1.7098097898367089e+03 1.7064189382818831e+03 1.7034992181821137e+03 1.7007756457086502e+03 1.6988586696445973e+03 1.6969263203152520e+03 1.6949560453736244e+03 1.6928928940161445e+03 1.6907646897090699e+03 1.6885119463091414e+03 1.6862014698756041e+03 1.6836401666524578e+03 1.6808989787988487e+03 1.6779274553665521e+03 1.6746861998244415e+03 1.6711273395051608e+03 1.6671969446786120e+03 1.6628193296360635e+03 1.6579950885398857e+03 1.6525537119606483e+03 1.6464529177514494e+03 1.6396041801465412e+03 1.6319122328531816e+03 1.6232788323391580e+03 1.6136054383591675e+03 1.6027848011990145e+03 1.5908237247995269e+03 1.5775240422494858e+03 1.5629267227692617e+03 1.5470655441553142e+03 1.5300649237612261e+03 1.5121365435610521e+03 1.4936833095336233e+03 1.4753063572001138e+03 1.4579804258030661e+03 1.4429501366096977e+03 1.4321448365845629e+03 1.4282596388386060e+03 1.4352062345557235e+03 1.4586819765957466e+03 1.5073202269428289e+03 1.5947889051377576e+03 1.7441049868845541e+03 1.2110449282265537e+02 +2.4230512991339172e+01 1.4122602356010437e+04 1.4120770708935543e+04 1.4118043223648026e+04 1.4114115036659232e+04 1.4109393695444109e+04 1.4104760063642010e+04 1.4100712465073449e+04 1.4096507564261148e+04 1.4091212829861850e+04 1.4084397999067294e+04 1.4075881546900395e+04 1.4065396778282442e+04 1.4052594160368852e+04 1.4037075794254011e+04 1.4018397502587562e+04 1.3996039960602406e+04 1.3969379770645690e+04 1.3937682978483053e+04 1.3900097190181099e+04 1.3855635923317459e+04 1.3803164135540845e+04 1.3741364923452931e+04 1.3668506834281099e+04 1.3581612061346001e+04 1.3477157815082108e+04 1.3353589232226090e+04 1.3209718432687350e+04 1.3043379122847431e+04 1.2851950874391176e+04 1.2632702049647818e+04 1.2382931500660294e+04 1.2100103291372565e+04 1.1782015053610468e+04 1.1427002776442800e+04 1.1034178430274929e+04 1.0603684815107297e+04 1.0136950166284250e+04 9.6369085341367227e+03 9.1081491250991658e+03 8.5569478473309136e+03 7.9486625938474799e+03 7.3348694302933263e+03 6.7278754485644113e+03 6.1400484513659649e+03 5.5828011912485372e+03 5.0656361179652522e+03 4.5954150236985879e+03 4.1759775196445325e+03 3.8081611161024380e+03 3.4901628408678616e+03 3.2181724699190549e+03 2.9871623670343160e+03 2.7916206360601850e+03 2.6259831902053584e+03 2.4851457716714353e+03 2.3647367184469704e+03 2.2611109194171286e+03 2.1713634193447378e+03 2.0931924369263597e+03 2.0248581757929494e+03 1.9649489058921058e+03 1.9124184107897418e+03 1.8663587117344616e+03 1.8261227555126341e+03 1.7910899125898059e+03 1.7607448101460252e+03 1.7346822813407748e+03 1.7124833057872472e+03 1.6937344124303547e+03 1.6781258232930043e+03 1.6652795709069928e+03 1.6548975853220031e+03 1.6466449913676352e+03 1.6402192150595529e+03 1.6352169752646869e+03 1.6312510341050142e+03 1.6280158852909999e+03 1.6252302671948703e+03 1.6226318139117382e+03 1.6208029114016656e+03 1.6189593446067813e+03 1.6170795958414926e+03 1.6151112383599907e+03 1.6130808169576383e+03 1.6109315816405208e+03 1.6087272535470936e+03 1.6062836323254287e+03 1.6036683913978429e+03 1.6008333978263786e+03 1.5977410651908326e+03 1.5943457203718474e+03 1.5905959114879727e+03 1.5864194333403486e+03 1.5818168376131998e+03 1.5766254703007305e+03 1.5708049828670607e+03 1.5642709169529851e+03 1.5569323833789920e+03 1.5486956525180999e+03 1.5394667116734367e+03 1.5291432417920960e+03 1.5177317196333411e+03 1.5050431037018841e+03 1.4911164721265307e+03 1.4759840507898878e+03 1.4597645405925821e+03 1.4426598975979020e+03 1.4250545158781358e+03 1.4075219138926254e+03 1.3909920320900881e+03 1.3766523250779221e+03 1.3663434859334668e+03 1.3626368006612915e+03 1.3692642285695724e+03 1.3916613530813295e+03 1.4380648689507682e+03 1.5215147132885545e+03 1.6639703051016688e+03 1.1524315813858868e+02 +2.4287141905396467e+01 1.3507985092706202e+04 1.3506227432763959e+04 1.3503617182099213e+04 1.3499856999366948e+04 1.3495335698431807e+04 1.3490894742181505e+04 1.3487010814281364e+04 1.3482973337656680e+04 1.3477890196253604e+04 1.3471349049997718e+04 1.3463175442522883e+04 1.3453113474532260e+04 1.3440827849970639e+04 1.3425936869870509e+04 1.3408014409372792e+04 1.3386562284404881e+04 1.3360982483986734e+04 1.3330570954404791e+04 1.3294510061077370e+04 1.3251853604740920e+04 1.3201512965292288e+04 1.3142225208159518e+04 1.3072329996702540e+04 1.2988971759133858e+04 1.2888772201213244e+04 1.2770241440678650e+04 1.2632242734212903e+04 1.2472701551337814e+04 1.2289108764764918e+04 1.2078849970824142e+04 1.1839341721738667e+04 1.1568161039032231e+04 1.1263207129243250e+04 1.0922897927413354e+04 1.0546397915686794e+04 1.0133862159969696e+04 9.6866796890534515e+03 9.2076835550107626e+03 8.7012922454560776e+03 8.1735377083744706e+03 7.5912870636083089e+03 7.0039422096241815e+03 6.4232888632697750e+03 5.8611566470217340e+03 5.3284468259406412e+03 4.8342203274973699e+03 4.3850030415188266e+03 3.9844261116381622e+03 3.6332505161505333e+03 3.3297174155946846e+03 3.0701565475413126e+03 2.8497423800311317e+03 2.6631945313529727e+03 2.5051896597613859e+03 2.3708487707920340e+03 2.2559959919506900e+03 2.1571514231161345e+03 2.0715429901217271e+03 1.9969749630685731e+03 1.9317881339551557e+03 1.8746363890714044e+03 1.8245222632797315e+03 1.7805800903124787e+03 1.7421930008236893e+03 1.7087692524982688e+03 1.6798174329132996e+03 1.6549511887874251e+03 1.6337709186921552e+03 1.6158822624603565e+03 1.6009897459526148e+03 1.5887328316713615e+03 1.5788271516232289e+03 1.5709532221782724e+03 1.5648223477937654e+03 1.5600497434928332e+03 1.5562659380291859e+03 1.5531794138987941e+03 1.5505217999477766e+03 1.5480427750843530e+03 1.5462979398298855e+03 1.5445391168798762e+03 1.5427457762234408e+03 1.5408679003883608e+03 1.5389308136860116e+03 1.5368803776459911e+03 1.5347773696126653e+03 1.5324460769735724e+03 1.5299510535786367e+03 1.5272463790569798e+03 1.5242961947540741e+03 1.5210569270436658e+03 1.5174794891742533e+03 1.5134949979668338e+03 1.5091039653436274e+03 1.5041512342859241e+03 1.4985983023735937e+03 1.4923645936290491e+03 1.4853633968648653e+03 1.4775052910255163e+03 1.4687005849942200e+03 1.4588516659370371e+03 1.4479646990561596e+03 1.4358593521098592e+03 1.4225728986092997e+03 1.4081360831129964e+03 1.3926621501180648e+03 1.3763437722040310e+03 1.3595476736587623e+03 1.3428210120456292e+03 1.3270509676218994e+03 1.3133704279121912e+03 1.3035354654210005e+03 1.2999991718562576e+03 1.3063219509966759e+03 1.3276895247654520e+03 1.3719599651665167e+03 1.4515737938515374e+03 1.5874809827527549e+03 1.0966370914404735e+02 +2.4343770819453763e+01 1.2919734629175582e+04 1.2918047619621491e+04 1.2915549847567925e+04 1.2911950693580819e+04 1.2907620991094518e+04 1.2903364834763503e+04 1.2899638112145110e+04 1.2895761574695467e+04 1.2890881778201259e+04 1.2884603589902492e+04 1.2876759350603248e+04 1.2867103528348029e+04 1.2855314499214741e+04 1.2841026115032389e+04 1.2823829589016583e+04 1.2803247034753111e+04 1.2778704816983734e+04 1.2749527590915686e+04 1.2714931094910753e+04 1.2674007803677392e+04 1.2625713661759064e+04 1.2568837539480877e+04 1.2501787357502162e+04 1.2421824868112233e+04 1.2325710474540763e+04 1.2212016618403622e+04 1.2079655538219480e+04 1.1926640659892253e+04 1.1750569527437123e+04 1.1548940043939918e+04 1.1319281440601502e+04 1.1059278775605973e+04 1.0766928262529322e+04 1.0440725889674153e+04 1.0079885825612764e+04 9.6845740896614789e+03 9.2561411846514493e+03 8.7973223041192105e+03 8.3123712109105345e+03 7.8070849814383573e+03 7.2497752843673952e+03 6.6877595535839419e+03 6.1323236400772375e+03 5.5947818484773024e+03 5.0855463722492050e+03 4.6132566848029028e+03 4.1841188105905721e+03 3.8015662639899892e+03 3.4662886818843199e+03 3.1765711567021385e+03 2.9288787084890819e+03 2.7185801412748046e+03 2.5406171551939265e+03 2.3898969756388442e+03 2.2617561202984512e+03 2.1522058843341702e+03 2.0579242021317482e+03 1.9762658848237381e+03 1.9051364289616913e+03 1.8429535260984499e+03 1.7884336628966337e+03 1.7406258781803106e+03 1.6987048666102496e+03 1.6620825489666299e+03 1.6301947388822080e+03 1.6025728812962702e+03 1.5788485714820006e+03 1.5586407357694709e+03 1.5415732502263563e+03 1.5273642906319749e+03 1.5156699535827800e+03 1.5062189496123019e+03 1.4987064863609069e+03 1.4928571167400967e+03 1.4883037123280164e+03 1.4846937616919165e+03 1.4817491022937388e+03 1.4792136687745042e+03 1.4768486374748754e+03 1.4751840433674022e+03 1.4735061072273290e+03 1.4717952418394373e+03 1.4700037293852720e+03 1.4681557292548425e+03 1.4661995954939441e+03 1.4641932963923089e+03 1.4619692197069578e+03 1.4595889421557379e+03 1.4570086552330079e+03 1.4541941494059608e+03 1.4511038549841107e+03 1.4476909427014673e+03 1.4438897000471150e+03 1.4397006017320107e+03 1.4349756454645978e+03 1.4296780913624521e+03 1.4237310691189550e+03 1.4170518553849176e+03 1.4095551415623870e+03 1.4011553614284012e+03 1.3917593940137426e+03 1.3813731078612207e+03 1.3698244825808888e+03 1.3571490696285307e+03 1.3433761996621070e+03 1.3286139091187945e+03 1.3130460096325787e+03 1.2970223599344047e+03 1.2810649563747638e+03 1.2660201658927760e+03 1.2529687916243206e+03 1.2435861373810735e+03 1.2402124800326631e+03 1.2462444763943495e+03 1.2666293592161283e+03 1.3088638106146946e+03 1.3848162188367789e+03 1.5144730543867438e+03 1.0435268484886306e+02 +2.4400399733511058e+01 1.2356738464825763e+04 1.2355119254632527e+04 1.2352729090594084e+04 1.2349284180254655e+04 1.2345138053232184e+04 1.2341059151056967e+04 1.2337483436201695e+04 1.2333761588390593e+04 1.2329077201714410e+04 1.2323051653778206e+04 1.2315523821306815e+04 1.2306258126935803e+04 1.2294946077768165e+04 1.2281236452312343e+04 1.2264737114475916e+04 1.2244989665479672e+04 1.2221443874103719e+04 1.2193451959018425e+04 1.2160261698984272e+04 1.2121002696068252e+04 1.2074673674308544e+04 1.2020113229453234e+04 1.1955794792749421e+04 1.1879092721886071e+04 1.1786900546359559e+04 1.1677850480358149e+04 1.1550901677852033e+04 1.1404151868490979e+04 1.1235300825714225e+04 1.1041954034162600e+04 1.0821748591805626e+04 1.0572472881555823e+04 1.0292215756190843e+04 9.9795475430397310e+03 9.6337294140116937e+03 9.2549371173739000e+03 8.8444833246598901e+03 8.4050084305388409e+03 7.9406072742002489e+03 7.4568508295886159e+03 6.9234333545145964e+03 6.3856739142016950e+03 5.8543791442205484e+03 5.3403699503793496e+03 4.8535909137740082e+03 4.4022792326109529e+03 3.9923363574300674e+03 3.6270084693371441e+03 3.3069187460118737e+03 3.0303959370499979e+03 2.7940357961917389e+03 2.5933939750351715e+03 2.4236251921326584e+03 2.2798574800767442e+03 2.1576335297954638e+03 2.0531435542806107e+03 1.9632162694751726e+03 1.8853276422494655e+03 1.8174797869601075e+03 1.7581637724269576e+03 1.7061558065732859e+03 1.6605492871520328e+03 1.6205574071508022e+03 1.5856195473500770e+03 1.5551978067055479e+03 1.5288454346961046e+03 1.5062111494774492e+03 1.4869315543785747e+03 1.4706479266351473e+03 1.4570914675806489e+03 1.4459341479686759e+03 1.4369171614634367e+03 1.4297497381967626e+03 1.4241690778061452e+03 1.4198249064951526e+03 1.4163809020373128e+03 1.4135716514145124e+03 1.4111528365957520e+03 1.4088966085635298e+03 1.4073086016832935e+03 1.4057078689037066e+03 1.4040757229482510e+03 1.4023666409584348e+03 1.4006036704661233e+03 1.3987375443890746e+03 1.3968235505990228e+03 1.3947018073438053e+03 1.3924310502111025e+03 1.3899694863865013e+03 1.3872844803630560e+03 1.3843363751319976e+03 1.3810804961016472e+03 1.3774541569064347e+03 1.3734577974374185e+03 1.3689502433324533e+03 1.3638964374042746e+03 1.3582230462657694e+03 1.3518511527950516e+03 1.3446993735853584e+03 1.3366860794564413e+03 1.3277224366144399e+03 1.3178140311231873e+03 1.3067967749899760e+03 1.2947045764383331e+03 1.2815654166112474e+03 1.2674823610515400e+03 1.2526307639683164e+03 1.2373443865765148e+03 1.2221212097000730e+03 1.2077686461836267e+03 1.1953177857739147e+03 1.1863668420918852e+03 1.1831484145230645e+03 1.1889028700371293e+03 1.2083498127107614e+03 1.2486409920477818e+03 1.3210987170900996e+03 1.4447898346606619e+03 9.9297261990192581e+01 +2.4457028647568354e+01 1.1817929958410872e+04 1.1816375879970903e+04 1.1814088813121545e+04 1.1810791601901168e+04 1.1806821418508091e+04 1.1802912511905683e+04 1.1799481828445645e+04 1.1795908650683845e+04 1.1791412039893225e+04 1.1785629207982651e+04 1.1778405317049581e+04 1.1769514346403659e+04 1.1758660415102335e+04 1.1745506628723513e+04 1.1729676840375849e+04 1.1710731360702754e+04 1.1688142428533076e+04 1.1661288725057249e+04 1.1629448788653603e+04 1.1591787862432009e+04 1.1547345734429171e+04 1.1495008727709275e+04 1.1433313145020280e+04 1.1359741415873388e+04 1.1271314842790793e+04 1.1166722962974252e+04 1.1044969864566350e+04 1.0904234076271590e+04 1.0742313339554768e+04 1.0556916189419735e+04 1.0345782978982956e+04 1.0106800904281821e+04 9.8381472808289673e+03 9.5384632313989041e+03 9.2070543835002336e+03 8.8441050729961771e+03 8.4508908465085187e+03 8.0299602805081477e+03 7.5852549039802698e+03 7.1221280483640685e+03 6.6115972076717308e+03 6.0970657081630197e+03 5.5888807945333474e+03 5.0973909869649515e+03 4.6320937963334100e+03 4.2008424732937156e+03 3.8092484741452795e+03 3.4603804264882901e+03 3.1547996395209925e+03 2.8908781784044877e+03 2.6653381101268428e+03 2.4739147161630103e+03 2.3119670255956430e+03 2.1748345197288641e+03 2.0582571191478705e+03 1.9585960612421227e+03 1.8728241002037314e+03 1.7985328837007164e+03 1.7338167420219738e+03 1.6772367581095041e+03 1.6276261127563353e+03 1.5841205153450003e+03 1.5459698795355600e+03 1.5126397767249875e+03 1.4836173785014576e+03 1.4584767340172764e+03 1.4368828961892370e+03 1.4184893332286474e+03 1.4029539262821877e+03 1.3900203061187797e+03 1.3793755920377964e+03 1.3707728922330173e+03 1.3639348206469376e+03 1.3586106489186027e+03 1.3544661919518928e+03 1.3511805807288283e+03 1.3485005734281367e+03 1.3461930659251775e+03 1.3440406845525890e+03 1.3425257755204516e+03 1.3409987285322266e+03 1.3394417153096435e+03 1.3378113079820675e+03 1.3361294928934581e+03 1.3343492733154224e+03 1.3325233795061629e+03 1.3304993070334206e+03 1.3283330802157072e+03 1.3259848300839756e+03 1.3234234234434439e+03 1.3206110288134519e+03 1.3175050281114700e+03 1.3140456230967086e+03 1.3102332210947004e+03 1.3059331636437071e+03 1.3011119999759328e+03 1.2956997724720616e+03 1.2896211968196089e+03 1.2827986359519948e+03 1.2751542183510762e+03 1.2666032019270790e+03 1.2571509037803162e+03 1.2466408059886242e+03 1.2351052487995569e+03 1.2225709253274047e+03 1.2091361567108931e+03 1.1949682250747931e+03 1.1803855275716808e+03 1.1658631236070876e+03 1.1521712473825169e+03 1.1402935395344205e+03 1.1317546363167548e+03 1.1286843656374297e+03 1.1341739259037308e+03 1.1527256639387413e+03 1.1911621127752087e+03 1.2602843831462558e+03 1.3782815999229820e+03 9.4485225089519901e+01 +2.4513657561625649e+01 1.1302287079181469e+04 1.1300795422451374e+04 1.1298607043207890e+04 1.1295451209983556e+04 1.1291649725971698e+04 1.1287903854640377e+04 1.1284612435245284e+04 1.1281182135256724e+04 1.1276865955496220e+04 1.1271316293677495e+04 1.1264384356505141e+04 1.1255853296675978e+04 1.1245439346453659e+04 1.1232819362937989e+04 1.1217632551760187e+04 1.1199457185365502e+04 1.1177787074949711e+04 1.1152026306106593e+04 1.1121482945903139e+04 1.1085356450137415e+04 1.1042726022384142e+04 1.0992523793181883e+04 1.0933346401404562e+04 1.0862779992650539e+04 1.0777968499007151e+04 1.0677656429004754e+04 1.0560890905234823e+04 1.0425927893050291e+04 1.0270659013878305e+04 1.0092891508177179e+04 9.8904645649264512e+03 9.6613598739058889e+03 9.4038392200545077e+03 9.1166111410892190e+03 8.7990233013372326e+03 8.4512675612489820e+03 8.0745830584894384e+03 7.6714294540085948e+03 7.2456003977544697e+03 6.8022397394102545e+03 6.3136313558104348e+03 5.8213421329924504e+03 5.3352789550923653e+03 4.8653381001817634e+03 4.4205896718667173e+03 4.0085204864558114e+03 3.6344659059943997e+03 3.3013262931116988e+03 3.0096054037474428e+03 2.7577182166916250e+03 2.5425088179269164e+03 2.3598851630321351e+03 2.2054022260858073e+03 2.0746019641269422e+03 1.9634129629203483e+03 1.8683599321771660e+03 1.7865532173781876e+03 1.7156949155657487e+03 1.6539673687498725e+03 1.5999984629031728e+03 1.5526757281904188e+03 1.5111752316577058e+03 1.4747819111108988e+03 1.4429863171850927e+03 1.4152995367365822e+03 1.3913154595169958e+03 1.3707147209690008e+03 1.3531668789616538e+03 1.3383456574271599e+03 1.3260065474212197e+03 1.3158511239877089e+03 1.3076438668437520e+03 1.3011201638226846e+03 1.2960408096620604e+03 1.2920869764354604e+03 1.2889525454174402e+03 1.2863958935838234e+03 1.2841946212336898e+03 1.2821413532210438e+03 1.2806962098813485e+03 1.2792394896124031e+03 1.2777541840439778e+03 1.2761988648156616e+03 1.2745945054747021e+03 1.2728962760181371e+03 1.2711544663339150e+03 1.2692236121012795e+03 1.2671571503498092e+03 1.2649170482587374e+03 1.2624736064540064e+03 1.2597907357679019e+03 1.2568277808739081e+03 1.2535276998675863e+03 1.2498908696293017e+03 1.2457888496686153e+03 1.2411897227879624e+03 1.2360267532426813e+03 1.2302281239180295e+03 1.2237197733055264e+03 1.2164274162455579e+03 1.2082702157026524e+03 1.1992532326790890e+03 1.1892271733768816e+03 1.1782228819080456e+03 1.1662658220745345e+03 1.1534497868942569e+03 1.1399343543902510e+03 1.1260232580555485e+03 1.1121696806804785e+03 1.0991083732536551e+03 1.0877776895879697e+03 1.0796320430833493e+03 1.0767031751193499e+03 1.0819399159208447e+03 1.0996372591362804e+03 1.1363035292985462e+03 1.2022423985869614e+03 1.3148052834881644e+03 8.9904937901220165e+01 +2.4570286475682945e+01 1.0808829852989624e+04 1.0807398154255703e+04 1.0805304181523710e+04 1.0802283916397622e+04 1.0798643967119695e+04 1.0795054428803822e+04 1.0791896724709302e+04 1.0788603731988129e+04 1.0784460916520438e+04 1.0779135243195818e+04 1.0772483731549159e+04 1.0764298339235313e+04 1.0754306931654897e+04 1.0742199565258836e+04 1.0727630185533530e+04 1.0710194308466609e+04 1.0689406454874110e+04 1.0664695097871290e+04 1.0635396650199607e+04 1.0600743407815702e+04 1.0559852405925514e+04 1.0511699737920906e+04 1.0454939943092875e+04 1.0387258698679705e+04 1.0305917624567830e+04 1.0209713943012344e+04 1.0097735989749079e+04 9.9683139408802563e+03 9.8194293762938378e+03 9.6489840758009213e+03 9.4549118296389042e+03 9.2352846860677619e+03 8.9884450815370110e+03 8.7131657441515345e+03 8.4088340789321264e+03 8.0756484818582485e+03 7.7148124050726810e+03 7.3286994199598867e+03 6.9209605512736134e+03 6.4965380383085248e+03 6.0289276840371222e+03 5.5579360321734803e+03 5.0930478729735451e+03 4.6437265508995570e+03 4.2186335825515816e+03 3.8249060837579677e+03 3.4676165734038486e+03 3.1495059702239432e+03 2.8710245318093084e+03 2.6306296944050050e+03 2.4252833927140468e+03 2.2510595539937458e+03 2.1037010613530288e+03 1.9789437448405426e+03 1.8728966543842475e+03 1.7822407469147038e+03 1.7042177958232728e+03 1.6366353490007978e+03 1.5777597448947331e+03 1.5262826067207775e+03 1.4811433098052312e+03 1.4415564140327838e+03 1.4068402623100073e+03 1.3765092285162425e+03 1.3500972102503265e+03 1.3272170225268474e+03 1.3075641653320631e+03 1.2908235462216530e+03 1.2766840052962789e+03 1.2649123505247355e+03 1.2552239512235521e+03 1.2473941400991539e+03 1.2411704964357823e+03 1.2363248138336705e+03 1.2325529228892703e+03 1.2295627838589946e+03 1.2271238648934068e+03 1.2250239841196380e+03 1.2230653095387834e+03 1.2216867499653169e+03 1.2202971487953369e+03 1.2188802802292907e+03 1.2173966242453801e+03 1.2158661878030323e+03 1.2142462086804051e+03 1.2125846483110679e+03 1.2107427605289874e+03 1.2087715134503121e+03 1.2066346266512503e+03 1.2043037691854443e+03 1.2017445147261446e+03 1.1989180811806402e+03 1.1957700571413798e+03 1.1923007910317262e+03 1.1883877758878832e+03 1.1840005584918697e+03 1.1790754780236664e+03 1.1735440264226702e+03 1.1673355546525943e+03 1.1603792003358794e+03 1.1525978532594604e+03 1.1439963305866099e+03 1.1344322323331644e+03 1.1239349750631445e+03 1.1125288493339738e+03 1.1003033265739875e+03 1.0874106320943897e+03 1.0741405045509171e+03 1.0609252478265960e+03 1.0484657486531896e+03 1.0376571388502728e+03 1.0298868122211413e+03 1.0270928973331138e+03 1.0320883499885929e+03 1.0489702681932413e+03 1.0839470992826132e+03 1.1468477653821967e+03 1.2542241840171791e+03 8.5545316188777448e+01 +2.4626915389740240e+01 1.0336619081867488e+04 1.0335244770358675e+04 1.0333241330707384e+04 1.0330350783795731e+04 1.0326865652623699e+04 1.0323426081404270e+04 1.0320396771580190e+04 1.0317235731351859e+04 1.0313259481996980e+04 1.0308148966484643e+04 1.0301766794385610e+04 1.0293913374998207e+04 1.0284327743963639e+04 1.0272712627654322e+04 1.0258736121943732e+04 1.0242010296254055e+04 1.0222069551899729e+04 1.0198365772306799e+04 1.0170262579073527e+04 1.0137023789442639e+04 1.0097802748396629e+04 1.0051617739989533e+04 9.9971788641246094e+03 9.9322673098805590e+03 9.8542576373024986e+03 9.7619976151540013e+03 9.6546150462516416e+03 9.5305112227606878e+03 9.3877539214354128e+03 9.2243354670511853e+03 9.0382801935853095e+03 8.8277465490863669e+03 8.5911539715850140e+03 8.3273363038394637e+03 8.0357185123885793e+03 7.7165046093371930e+03 7.3708630903064650e+03 7.0010841875017804e+03 6.6106813821478172e+03 6.2044028944766333e+03 5.7569042949321520e+03 5.3063048072177517e+03 4.8616846601208563e+03 4.4320927714741292e+03 4.0258000833984570e+03 3.6496099994590595e+03 3.3083448270036783e+03 3.0045944171758447e+03 2.7387593381906918e+03 2.5093389790272281e+03 2.3134090745801336e+03 2.1472030662930142e+03 2.0066440276446422e+03 1.8876534144533377e+03 1.7865128882901352e+03 1.7000527413490620e+03 1.6256402829306826e+03 1.5611837359537174e+03 1.5050296006256235e+03 1.4559303104296794e+03 1.4128746955911813e+03 1.3751140291495160e+03 1.3419985140457532e+03 1.3130652443072483e+03 1.2878698741932255e+03 1.2660432704192760e+03 1.2472951122505654e+03 1.2313249506285713e+03 1.2178360481615175e+03 1.2066060109783987e+03 1.1973633711414263e+03 1.1898938191851646e+03 1.1839565696620421e+03 1.1793339143751391e+03 1.1757356752208566e+03 1.1728832503340282e+03 1.1705566951010919e+03 1.1685535807387621e+03 1.1666851835341290e+03 1.1653701693426265e+03 1.1640446243565320e+03 1.1626930696921659e+03 1.1612778066102651e+03 1.1598179195988585e+03 1.1582726197449381e+03 1.1566876468670462e+03 1.1549306655649184e+03 1.1530502880529248e+03 1.1510119063357406e+03 1.1487884954463866e+03 1.1463472160186411e+03 1.1436510737065237e+03 1.1406481674464706e+03 1.1373388190681667e+03 1.1336061835688170e+03 1.1294212052396358e+03 1.1247231578613034e+03 1.1194466914229081e+03 1.1135244136310359e+03 1.1068887286908564e+03 1.0994660830284181e+03 1.0912610616445181e+03 1.0821378430019709e+03 1.0721244815910309e+03 1.0612441482643758e+03 1.0495821900722540e+03 1.0372838151540439e+03 1.0246254059766666e+03 1.0120193402196326e+03 1.0001341862418926e+03 9.8982382559541077e+02 9.8241169120721747e+02 9.7974657073102424e+02 9.8451174633646622e+02 1.0006154512496267e+03 1.0339799403749348e+03 1.0939810507155212e+03 1.1964076864403512e+03 8.1395801767640151e+01 +2.4683544303797536e+01 9.8847545711102284e+03 9.8834354171813848e+03 9.8815185700109905e+03 9.8787522257506225e+03 9.8754153947725772e+03 9.8721196183931279e+03 9.8692136126414753e+03 9.8661793770748518e+03 9.8623631554498988e+03 9.8574593051008524e+03 9.8513358122276786e+03 9.8438011995653342e+03 9.8346052263496840e+03 9.8234627811343234e+03 9.8100555432747533e+03 9.7940114725662825e+03 9.7748840540423334e+03 9.7521476423838594e+03 9.7251919756846655e+03 9.6933111252299877e+03 9.6556932836244578e+03 9.6113972230558120e+03 9.5591863564769246e+03 9.4969335233662787e+03 9.4221216630198014e+03 9.3336470104315085e+03 9.2306751615612648e+03 9.1116755560512702e+03 8.9747985594915226e+03 8.8181232120223376e+03 8.6397605038208039e+03 8.4379514931979047e+03 8.2111891306245379e+03 7.9583654401130125e+03 7.6789408817580597e+03 7.3731242300070726e+03 7.0420497568298861e+03 6.6879270313267716e+03 6.3141369055037540e+03 5.9252409011046420e+03 5.4970044005465497e+03 5.0659293747924330e+03 4.6407083177027389e+03 4.2299934580192066e+03 3.8416824017988438e+03 3.4822601152109382e+03 3.1563107343262636e+03 2.8662809958389967e+03 2.6125253553046755e+03 2.3935846064238449e+03 2.2066443551832422e+03 2.0480913365530305e+03 1.9140214011091077e+03 1.8005337245285284e+03 1.7040750616042126e+03 1.6216184277325483e+03 1.5506510357887726e+03 1.4891772208868772e+03 1.4356199829016673e+03 1.3887897712632980e+03 1.3477225896651985e+03 1.3117047259144813e+03 1.2801167685749344e+03 1.2525174792260702e+03 1.2284832628862719e+03 1.2076622042935076e+03 1.1897775079770058e+03 1.1745426941116295e+03 1.1616747856422439e+03 1.1509616916267694e+03 1.1421445039380712e+03 1.1350187981198144e+03 1.1293548929003318e+03 1.1249451001554639e+03 1.1215125958847075e+03 1.1187916038617093e+03 1.1165722854027492e+03 1.1146615209741274e+03 1.1128792798858217e+03 1.1116249098380488e+03 1.1103604963797209e+03 1.1090712734963147e+03 1.1077212805979843e+03 1.1063287218333585e+03 1.1048546913908731e+03 1.1033428094602566e+03 1.1016668579343484e+03 1.0998732010236013e+03 1.0979288268019193e+03 1.0958079566504562e+03 1.0934792657052008e+03 1.0909074657437982e+03 1.0880430513169408e+03 1.0848863194221199e+03 1.0813258277360283e+03 1.0773338545854122e+03 1.0728524743572871e+03 1.0678193508987215e+03 1.0621701999620391e+03 1.0558405431884398e+03 1.0487602211485935e+03 1.0409335977955971e+03 1.0322311289543259e+03 1.0226795695405997e+03 1.0123010218248977e+03 1.0011768967905439e+03 9.8944570579673837e+02 9.7737108494307427e+02 9.6534639540365708e+02 9.5400936325016301e+02 9.4417450251511798e+02 9.3710420588668512e+02 9.3456199917101628e+02 9.3910741177462774e+02 9.5446843535813434e+02 9.8629419941308402e+02 1.0435281428020583e+03 1.1412309949216574e+03 7.7446337756467614e+01 +2.4740173217854831e+01 9.4523735002239318e+03 9.4511071221980346e+03 9.4492732884268953e+03 9.4466258553035259e+03 9.4434311718473928e+03 9.4402732828606731e+03 9.4374856694320897e+03 9.4345732844721042e+03 9.4309108032817876e+03 9.4262054510536145e+03 9.4203303868196817e+03 9.4131019234159503e+03 9.4042801125565911e+03 9.3935915179495933e+03 9.3807308574253220e+03 9.3653413440142613e+03 9.3469947807866192e+03 9.3251870914229803e+03 9.2993330808654973e+03 9.2687558568768145e+03 9.2326770549758876e+03 9.1901942999632029e+03 9.1401221589530469e+03 9.0804214127709274e+03 9.0086789986147996e+03 8.9238376209097860e+03 8.8250990642574016e+03 8.7109980681056568e+03 8.5797641263836376e+03 8.4295593232155716e+03 8.2585775804072946e+03 8.0651389392684787e+03 7.8478065274385372e+03 7.6055277527008939e+03 7.3377966066442395e+03 7.0448258341149349e+03 6.7277162185182515e+03 6.3885992688375973e+03 6.0307279597236129e+03 5.6584841731205752e+03 5.2486952600715622e+03 4.8363131671055062e+03 4.4296588010963951e+03 4.0370047007122421e+03 3.6658916325139048e+03 3.3225007176778367e+03 3.0111893968348913e+03 2.7342688428124088e+03 2.4920507558875074e+03 2.2831167481100297e+03 2.1047584845273914e+03 1.9535100018959754e+03 1.8256328085359178e+03 1.7173962217649675e+03 1.6254048914527493e+03 1.5467682313239254e+03 1.4790879739592124e+03 1.4204602074833576e+03 1.3693809343144349e+03 1.3247159522202821e+03 1.2855462608917767e+03 1.2511915421565002e+03 1.2210613632486541e+03 1.1947351489228722e+03 1.1718090950618075e+03 1.1519477088323533e+03 1.1348870958556795e+03 1.1203541020928762e+03 1.1080788787334420e+03 1.0978591649917485e+03 1.0894480369448781e+03 1.0826505036629335e+03 1.0772474809345845e+03 1.0730408441055260e+03 1.0697665147744472e+03 1.0671709577002971e+03 1.0650539804450045e+03 1.0632313488620582e+03 1.0615313287395099e+03 1.0603348326321700e+03 1.0591287581411523e+03 1.0578990196105408e+03 1.0566113152223436e+03 1.0552830090109139e+03 1.0538769921424955e+03 1.0524348625262026e+03 1.0508362391750240e+03 1.0491253412983863e+03 1.0472706801262125e+03 1.0452476664558012e+03 1.0430264207390007e+03 1.0405732829393714e+03 1.0378410336811905e+03 1.0348299467762718e+03 1.0314337350658152e+03 1.0276259502695520e+03 1.0233513394493447e+03 1.0185504426293875e+03 1.0131619416271528e+03 1.0071243331093963e+03 1.0003706966379846e+03 9.9290518571301436e+02 9.8460424606533934e+02 9.7549339269944085e+02 9.6559370811662757e+02 9.5498284704050388e+02 9.4379292996868048e+02 9.3227542891215467e+02 9.2080555715600667e+02 9.0999160787096434e+02 9.0061052531864800e+02 8.9386645065313053e+02 8.9144154266342321e+02 8.9577723142706895e+02 9.1042950076535817e+02 9.4078683159107379e+02 9.9538001723651882e+02 1.0885748773224848e+03 7.3687344981158859e+01 +2.4796802131912127e+01 9.0386489876980759e+03 9.0374334087770967e+03 9.0356788658123587e+03 9.0331454487653173e+03 9.0300868508601743e+03 9.0270611674460251e+03 9.0243872292487868e+03 9.0215919215321428e+03 9.0180771356136083e+03 9.0135624280429765e+03 9.0079259364817972e+03 9.0009914545088322e+03 8.9925289105693828e+03 8.9822760760985984e+03 8.9699401836632369e+03 8.9551790872616311e+03 8.9375821722742930e+03 8.9166660644652584e+03 8.8918696271151603e+03 8.8625438347311483e+03 8.8279424162119394e+03 8.7872002779343802e+03 8.7391810676130026e+03 8.6819299448051970e+03 8.6131336360702335e+03 8.5317793987277637e+03 8.4371036679750832e+03 8.3277037516810487e+03 8.2018849532831882e+03 8.0578888812964824e+03 7.8939888209973415e+03 7.7085803248272196e+03 7.5002935096770370e+03 7.2681284994705748e+03 7.0116109560131854e+03 6.7309568608048003e+03 6.4272342444935039e+03 6.1024990871642458e+03 5.7598810801871759e+03 5.4035892712177556e+03 5.0114671614415611e+03 4.6169811738143526e+03 4.2280961239411545e+03 3.8527211506276985e+03 3.4980559665866772e+03 3.1699917876415125e+03 2.8726702960529233e+03 2.6082742684633076e+03 2.3770758001681293e+03 2.1776967014084657e+03 2.0075309989647276e+03 1.8632542608433710e+03 1.7412868166061480e+03 1.6380608615754763e+03 1.5503320495528126e+03 1.4753401427277749e+03 1.4107962472364366e+03 1.3548840397560386e+03 1.3061691857808264e+03 1.2635702848716162e+03 1.2262112545245122e+03 1.1934436239830075e+03 1.1647045966146472e+03 1.1395933020156913e+03 1.1177248109575769e+03 1.0987792938148941e+03 1.0825051616258179e+03 1.0686419720131416e+03 1.0569324010439407e+03 1.0471835667820790e+03 1.0391599799950095e+03 1.0326756521902337e+03 1.0275216120041771e+03 1.0235088622253544e+03 1.0203854889614329e+03 1.0179096396573848e+03 1.0158903291167964e+03 1.0141518037910954e+03 1.0125302472916505e+03 1.0113889801063327e+03 1.0102385782255787e+03 1.0090656053038998e+03 1.0078373425058495e+03 1.0065703521543587e+03 1.0052292401703902e+03 1.0038536751058866e+03 1.0023288456151652e+03 1.0006969242403395e+03 9.9892787575491968e+02 9.9699824600565455e+02 9.9487953470389937e+02 9.9253963558240810e+02 9.8993351075676367e+02 9.8706141239908527e+02 9.8382197221459194e+02 9.8018995741021934e+02 9.7611266556580347e+02 9.7153338142607288e+02 9.6639361730928329e+02 9.6063470893271301e+02 9.5419282671594203e+02 9.4707192379104799e+02 9.3915416137011903e+02 9.3046387149589179e+02 9.2102116350921858e+02 9.1090010755237915e+02 9.0022672535770016e+02 8.8924088080848151e+02 8.7830046866709870e+02 8.6798569487318366e+02 8.5903765045117575e+02 8.5260488768048265e+02 8.5029191714922661e+02 8.5442746753336371e+02 8.6840337643588680e+02 8.9735938915490476e+02 9.4943251342771407e+02 1.0383254207136208e+03 7.0109699478583565e+01 +2.4853431045969423e+01 8.6427887218220767e+03 8.6416216979284764e+03 8.6399432193449393e+03 8.6375188366393504e+03 8.6345907377320618e+03 8.6316917723673014e+03 8.6291269786606754e+03 8.6264441501424262e+03 8.6230712471879142e+03 8.6187396328858795e+03 8.6133322380887967e+03 8.6066800409138668e+03 8.5985624460476938e+03 8.5887279838457780e+03 8.5768958983844204e+03 8.5627380962825609e+03 8.5458608383115716e+03 8.5258006194429308e+03 8.5020193923456682e+03 8.4738948744456538e+03 8.4407115917400188e+03 8.4016402230451095e+03 8.3555915051573811e+03 8.3006915547127210e+03 8.2347228451143692e+03 8.1567153472235123e+03 8.0659386726500052e+03 7.9610500779318199e+03 7.8404274931163154e+03 7.7023886773200229e+03 7.5452828610877596e+03 7.3675777851205839e+03 7.1679675086176512e+03 6.9455023280917485e+03 6.6997378101257909e+03 6.4308924939404196e+03 6.1400023925687346e+03 5.8290504179759801e+03 5.5010474191699886e+03 5.1600361702063847e+03 4.7848324449856900e+03 4.4074790237619927e+03 4.0355994996578402e+03 3.6767552215820870e+03 3.3378199529009839e+03 3.0244083192832409e+03 2.7404566675668666e+03 2.4880261816638963e+03 2.2673523067568776e+03 2.0770964015608683e+03 1.9147512695324485e+03 1.7771284531455087e+03 1.6608005388664888e+03 1.5623556383413447e+03 1.4786938124262765e+03 1.4071793852343542e+03 1.3456279177438107e+03 1.2923066969144077e+03 1.2458478625094774e+03 1.2052203849863663e+03 1.1695891162872083e+03 1.1383359572532204e+03 1.1109244663532397e+03 1.0869725636484459e+03 1.0661133207660178e+03 1.0480418467947691e+03 1.0325182897212385e+03 1.0192943327158644e+03 1.0081246007899630e+03 9.9882516004766023e+02 9.9117143136220875e+02 9.8498601707182434e+02 9.8006959633160955e+02 9.7624188300010235e+02 9.7326257280750974e+02 9.7090096276822226e+02 9.6897485566834371e+02 9.6731659200679360e+02 9.6576991166425194e+02 9.6468134798422784e+02 9.6358407292542665e+02 9.6246526980933891e+02 9.6129373041470274e+02 9.6008525202929877e+02 9.5880607681578283e+02 9.5749403267626315e+02 9.5603962255110321e+02 9.5448306619111963e+02 9.5279571544302007e+02 9.5095519930224498e+02 9.4893433366724764e+02 9.4670249498739463e+02 9.4421672702020771e+02 9.4147726175060757e+02 9.3838742417162246e+02 9.3492314166866686e+02 9.3103414570933785e+02 9.2666634024842301e+02 9.2176393866788135e+02 9.1627098590958099e+02 9.1012660182096465e+02 9.0333454877236125e+02 8.9578244147457701e+02 8.8749348336849982e+02 8.7848685513495309e+02 8.6883320625134945e+02 8.5865273857162356e+02 8.4817423867271418e+02 8.3773907466355365e+02 8.2790065004638700e+02 8.1936584155395815e+02 8.1323015483407130e+02 8.1102400293175992e+02 8.1496856695031749e+02 8.2829904439953600e+02 8.5591781922988923e+02 9.0558612069509559e+02 9.9037379743472525e+02 6.6704711049342905e+01 +2.4910059960026718e+01 8.2640331478840726e+03 8.2629128665918288e+03 8.2613070317885104e+03 8.2589872193267693e+03 8.2561840215601023e+03 8.2534066260418331e+03 8.2509465972312555e+03 8.2483718252524286e+03 8.2451352160871447e+03 8.2409794346016261e+03 8.2357920268325452e+03 8.2294108711662830e+03 8.2216244635392977e+03 8.2121916618713749e+03 8.2008432384420503e+03 8.1872645871565555e+03 8.1710781648960792e+03 8.1518395357135796e+03 8.1290328108317181e+03 8.1020613709620020e+03 8.0702392939808888e+03 8.0327715816595228e+03 7.9886141472666877e+03 7.9359707782349042e+03 7.8727158121894481e+03 7.7979201682510457e+03 7.7108852215232218e+03 7.6103256646377486e+03 7.4946890019418261e+03 7.3623659092734633e+03 7.2117782880466502e+03 7.0414628871152017e+03 6.8501747960147941e+03 6.6370120587459051e+03 6.4015584724892542e+03 6.1440345067491126e+03 5.8654448902112408e+03 5.5677018583292365e+03 5.2537017100235753e+03 4.9273272698724850e+03 4.5683245675850476e+03 4.2073721049405813e+03 3.8517665188636961e+03 3.5087363255592882e+03 3.1848437908992910e+03 2.8854396683991999e+03 2.6142649017344502e+03 2.3732655391920980e+03 2.1626431462659057e+03 1.9810979548199214e+03 1.8262180697707736e+03 1.6949456577723904e+03 1.5839992596895929e+03 1.4901162316535599e+03 1.4103347267355268e+03 1.3421380965472210e+03 1.2834416557847230e+03 1.2325925014252289e+03 1.1882862026725245e+03 1.1495397804681916e+03 1.1155571283887957e+03 1.0857491106585449e+03 1.0596044185378205e+03 1.0367588901399758e+03 1.0168627639627565e+03 9.9962539646847188e+02 9.8481813011250233e+02 9.7220421423906009e+02 9.6154967307556728e+02 9.5267910953229034e+02 9.4537835381959781e+02 9.3947820611038799e+02 9.3478855465642732e+02 9.3113742679643440e+02 9.2829559802855260e+02 9.2604300587665932e+02 9.2420584073456007e+02 9.2262416802021210e+02 9.2114893865333249e+02 9.2011066731705807e+02 9.1906408847550495e+02 9.1799697680798363e+02 9.1687956561854685e+02 9.1572692216620192e+02 9.1450684991255378e+02 9.1325542076352099e+02 9.1186820819017998e+02 9.1038356876135356e+02 9.0877417793669247e+02 9.0701869830365956e+02 9.0509120172979522e+02 9.0296247954555406e+02 9.0059156182370702e+02 8.9797866172491592e+02 8.9503158218921419e+02 8.9172735796502991e+02 8.8801804305318365e+02 8.8385204078393338e+02 8.7917614202504399e+02 8.7393697699118127e+02 8.6807647993122032e+02 8.6159823160325982e+02 8.5439505011632730e+02 8.4648906219923867e+02 8.3789856235945558e+02 8.2869093590894477e+02 8.1898083109178322e+02 8.0898646398460210e+02 7.9903343208398758e+02 7.8964956310152229e+02 7.8150908429514686e+02 7.7565688188839238e+02 7.7355266139454375e+02 7.7731497697521786e+02 7.9002955255945722e+02 8.1637227038904689e+02 8.6374577361294223e+02 9.4461604128220688e+02 6.3464102811195247e+01 +2.4966688874084014e+01 7.9016547324394114e+03 7.9005791161292236e+03 7.8990430312549151e+03 7.8968232632384743e+03 7.8941397083811535e+03 7.8914788794798587e+03 7.8891194168813463e+03 7.8866484494069236e+03 7.8835427580208980e+03 7.8795558291854777e+03 7.8745796514290923e+03 7.8684587302275568e+03 7.8609902830990550e+03 7.8519430808975094e+03 7.8410589599450068e+03 7.8280362582047701e+03 7.8125129760350474e+03 7.7940629779354740e+03 7.7721916394267691e+03 7.7463269674654266e+03 7.7158113956821398e+03 7.6798828566838720e+03 7.6375406034006510e+03 7.5870629381352410e+03 7.5264123336467919e+03 7.4546989633392850e+03 7.3712546116395024e+03 7.2748489976233641e+03 7.1639962730562593e+03 7.0371569307543377e+03 6.8928224066216380e+03 6.7295954143404979e+03 6.5462892909543098e+03 6.3420475160011574e+03 6.1164805298700048e+03 5.8698101533809995e+03 5.6030105610198261e+03 5.3179256355806856e+03 5.0173412739414716e+03 4.7049864465995570e+03 4.3614972055924218e+03 4.0162447211553699e+03 3.6762123612916539e+03 3.3483101403694645e+03 3.0388026533066136e+03 2.7527889283337931e+03 2.4938239700062391e+03 2.2637448187257000e+03 2.0627217567158700e+03 1.8894931916857925e+03 1.7417391622030323e+03 1.6165273082519032e+03 1.5107160744914418e+03 1.4211856678564777e+03 1.3451062890905280e+03 1.2800750242780050e+03 1.2241024488414737e+03 1.1756118397022301e+03 1.1333592882536404e+03 1.0964076510426457e+03 1.0639980569517295e+03 1.0355689899142442e+03 1.0106331077384484e+03 9.8884333424511340e+02 9.6986627904238787e+02 9.5342488629010938e+02 9.3930117523920956e+02 9.2726942757072834e+02 9.1710654202820206e+02 9.0864526579639107e+02 9.0168136039229876e+02 8.9605344861197227e+02 8.9158020635494063e+02 8.8809759479895160e+02 8.8538696326555873e+02 8.8323840372648169e+02 8.8148611183702383e+02 8.7997752545559240e+02 8.7857047691870912e+02 8.7758019591605421e+02 8.7658199271990225e+02 8.7556420634334847e+02 8.7449844564741136e+02 8.7339908128916147e+02 8.7223540647730340e+02 8.7104181792743452e+02 8.6971872694881699e+02 8.6830271246729797e+02 8.6676771296723905e+02 8.6509337731505991e+02 8.6325497585875576e+02 8.6122465004238916e+02 8.5896332524785214e+02 8.5647119709051287e+02 8.5366034089711775e+02 8.5050884834066323e+02 8.4697098964112456e+02 8.4299755309547857e+02 8.3853778907536946e+02 8.3354079472695776e+02 8.2795118978930657e+02 8.2177238212131590e+02 8.1490215448821061e+02 8.0736160643088670e+02 7.9916818684408850e+02 7.9038616629378873e+02 7.8112489362688530e+02 7.7159249827798078e+02 7.6209952895544575e+02 7.5314940867214636e+02 7.4538520921628867e+02 7.3980351469945617e+02 7.3779655964662697e+02 7.4138496914342170e+02 7.5351183561171251e+02 7.7863690760065447e+02 8.2382065621579329e+02 9.0095283338199113e+02 6.0379991706979283e+01 +2.5023317788141309e+01 7.5549560907846917e+03 7.5539234414990779e+03 7.5524539942254569e+03 7.5503300187090144e+03 7.5477611483685941e+03 7.5452120396100663e+03 7.5429491329541743e+03 7.5405778799603586e+03 7.5375979342001401e+03 7.5337731478144578e+03 7.5289997827784418e+03 7.5231287087197461e+03 7.5159655103197647e+03 7.5072884726551119e+03 7.4968500503112673e+03 7.4843610034059484e+03 7.4694742487539179e+03 7.4517812129656531e+03 7.4308076768122510e+03 7.4060052773255557e+03 7.3767436550803022e+03 7.3422923364837543e+03 7.3016921502837968e+03 7.2532928829370630e+03 7.1951415610497515e+03 7.1263859866816529e+03 7.0463870559015886e+03 6.9539672033779416e+03 6.8477044217152634e+03 6.7261260498529482e+03 6.5877900540838864e+03 6.4313622006528221e+03 6.2557114148752562e+03 6.0600244079412614e+03 5.8439367585946447e+03 5.6076711055202650e+03 5.3521717950617731e+03 5.0792166147405815e+03 4.7914850675151174e+03 4.4925581442140774e+03 4.1639233949942218e+03 3.8336992838404522e+03 3.5085690407656325e+03 3.1951379081524083e+03 2.8993860375396043e+03 2.6261723325016410e+03 2.3788748757907533e+03 2.1592275144687565e+03 1.9673716797912623e+03 1.8020832394033316e+03 1.6611309026757408e+03 1.5417028246691050e+03 1.4407915455232223e+03 1.3554139962435033e+03 1.2828666397395780e+03 1.2208552346254014e+03 1.1674813231789067e+03 1.1212408948867085e+03 1.0809477875450693e+03 1.0457085792295677e+03 1.0147999103842009e+03 9.8768660260288277e+02 9.6390416752624117e+02 9.4312182058163023e+02 9.2502178323102305e+02 9.0933995788120228e+02 8.9586854659432208e+02 8.8439235394004379e+02 8.7469865237576869e+02 8.6662795868475803e+02 8.5998550938993958e+02 8.5461739168436316e+02 8.5035066674591189e+02 8.4702886709232359e+02 8.4444343278623933e+02 8.4239414613784948e+02 8.4072284295997417e+02 8.3928399697655129e+02 8.3794200722335370e+02 8.3699751881099871e+02 8.3604547580193730e+02 8.3507475573791021e+02 8.3405828005677984e+02 8.3300975472578614e+02 8.3189989439517024e+02 8.3076149771269888e+02 8.2949959170155751e+02 8.2814905929981319e+02 8.2668504417117549e+02 8.2508813629495819e+02 8.2333474960825242e+02 8.2139831383976343e+02 8.1924156279862154e+02 8.1686467575407823e+02 8.1418380420330936e+02 8.1117804857538897e+02 8.0780379381142461e+02 8.0401410394968491e+02 7.9976057622553151e+02 7.9499466173645089e+02 7.8966354264513609e+02 7.8377046221273849e+02 7.7721793995361418e+02 7.7002609549215117e+02 7.6221157083963089e+02 7.5383566445926022e+02 7.4500266850083381e+02 7.3591108770345033e+02 7.2685711111273395e+02 7.1832087506905452e+02 7.1091572225190282e+02 7.0559214699195388e+02 7.0367800277269225e+02 7.0710047065653930e+02 7.1866654371583286e+02 7.4262973518088029e+02 7.8572401468215446e+02 8.5928929733643076e+02 5.7444869922971705e+01 +2.5079946702198605e+01 7.2232692447344343e+03 7.2222777123089145e+03 7.2208721048478919e+03 7.2188397950890294e+03 7.2163807741204037e+03 7.2139387670948681e+03 7.2117685590359761e+03 7.2094930869770769e+03 7.2066339106417190e+03 7.2029648164494893e+03 7.1983861739228651e+03 7.1927549636200583e+03 7.1858847977127971e+03 7.1775630921166166e+03 7.1675524916176064e+03 7.1555756770552925e+03 7.1412998793283859e+03 7.1243333778964070e+03 7.1042215336849886e+03 7.0804386569460085e+03 7.0523804918302621e+03 7.0193468745049586e+03 6.9804185158207511e+03 6.9340137760860543e+03 6.8782607965255365e+03 6.8123434480019996e+03 6.7356504946171508e+03 6.6470548706780683e+03 6.5451957186429690e+03 6.4286643762531667e+03 6.2960824629750787e+03 6.1461760109524548e+03 5.9778669927793508e+03 5.7903832505982718e+03 5.5833840751479593e+03 5.3570924323330501e+03 5.1124235612657467e+03 4.8510913465208623e+03 4.5756727695513073e+03 4.2896065023874198e+03 3.9751947073311808e+03 3.6593555376988297e+03 3.3484846818808842e+03 3.0488957635542406e+03 2.7662971446332408e+03 2.5053186823799028e+03 2.2691701288156105e+03 2.0594876544370354e+03 1.8763861170794744e+03 1.7186781129321130e+03 1.5842178618217877e+03 1.4703092615848041e+03 1.3740733725713951e+03 1.2926579792859263e+03 1.2234802695156029e+03 1.1643498336874204e+03 1.1134550775222669e+03 1.0693613912196101e+03 1.0309377088061649e+03 9.9733231209907171e+02 9.6785570821905890e+02 9.4199783320479810e+02 9.1931599091094165e+02 8.9949493079027548e+02 8.8223176174575156e+02 8.6727474383770129e+02 8.5442579057462331e+02 8.4347974324706183e+02 8.3423377005299699e+02 8.2653579975617447e+02 8.2020010832811613e+02 8.1507990536270552e+02 8.1101025317385825e+02 8.0784190950650896e+02 8.0537594390386221e+02 8.0342138589741057e+02 8.0182736281498819e+02 8.0045506287550825e+02 7.9917515133431789e+02 7.9827435737174187e+02 7.9736635949994297e+02 7.9644054915029631e+02 7.9547110021627179e+02 7.9447108443560671e+02 7.9341257269601874e+02 7.9232683918266832e+02 7.9112331460923929e+02 7.8983526386134997e+02 7.8843898056388366e+02 7.8691595268416211e+02 7.8524368535095641e+02 7.8339683754707062e+02 7.8133986857047876e+02 7.7907294246901233e+02 7.7651609961360009e+02 7.7364940319229004e+02 7.7043125597045344e+02 7.6681689345250049e+02 7.6276015220097861e+02 7.5821472940726403e+02 7.5313025217341510e+02 7.4750980706137125e+02 7.4126043279404064e+02 7.3440131419256068e+02 7.2694832335514411e+02 7.1895992282612042e+02 7.1053557975690899e+02 7.0186461519687930e+02 6.9322951643028171e+02 6.8508820046135429e+02 6.7802564259872474e+02 6.7294835944666181e+02 6.7112277334897033e+02 6.7438690312530866e+02 6.8541787859712645e+02 7.0827242743895431e+02 7.4937297814798512e+02 8.1953480325661610e+02 5.4651587175623106e+01 +2.5136575616255900e+01 6.9059538588054838e+03 6.9050018648630266e+03 6.9036572992203637e+03 6.9017128191838528e+03 6.8993589786231196e+03 6.8970196581539412e+03 6.8949384315922189e+03 6.8927549604321830e+03 6.8900117669997435e+03 6.8864921648753871e+03 6.8821004694231124e+03 6.8766995282525022e+03 6.8701106553927366e+03 6.8621300290780446e+03 6.8525300731727693e+03 6.8410449075676006e+03 6.8273554985469691e+03 6.8110862972098348e+03 6.7918014520601364e+03 6.7689970275647938e+03 6.7420938117791393e+03 6.7104207175830916e+03 6.6730967115950370e+03 6.6286059334447264e+03 6.5751543363350265e+03 6.5119603632401013e+03 6.4384394546354670e+03 6.3535129195816025e+03 6.2558784702948142e+03 6.1441887146338349e+03 6.0171261696786351e+03 5.8734744670803193e+03 5.7122061988829928e+03 5.5325883360042508e+03 5.3343025294877280e+03 5.1175716219334590e+03 4.8832824601719731e+03 4.6330871544619604e+03 4.3694639055155494e+03 4.0957145211761476e+03 3.7949204598851234e+03 3.4928498186870693e+03 3.1956228271028958e+03 2.9092740902594355e+03 2.6392522845724134e+03 2.3899687999282910e+03 2.1644732420245377e+03 1.9643093385190475e+03 1.7895675054614981e+03 1.6390963235935112e+03 1.5108324629039662e+03 1.4021909712241309e+03 1.3104160779460724e+03 1.2327807963023010e+03 1.1668177395072996e+03 1.1104357008572897e+03 1.0619060282720479e+03 1.0198603494916514e+03 9.8322016461355349e+02 9.5117353337204554e+02 9.2306325998087345e+02 8.9840322788185460e+02 8.7677152031364744e+02 8.5786769802023468e+02 8.4140306619902640e+02 8.2713766952219362e+02 8.1488268317537870e+02 8.0444252123810156e+02 7.9562379146790431e+02 7.8828149328044458e+02 7.8223852635866115e+02 7.7735489619852285e+02 7.7347329952095095e+02 7.7045138883304389e+02 7.6809942276054858e+02 7.6623525498129811e+02 7.6471497143588817e+02 7.6340616797995779e+02 7.6218548921689683e+02 7.6132638670434017e+02 7.6046041483119495e+02 7.5957745539646476e+02 7.5865287734828598e+02 7.5769914727804371e+02 7.5668963006571892e+02 7.5565414568468714e+02 7.5450632615242307e+02 7.5327789269701475e+02 7.5194623618561786e+02 7.5049370140797362e+02 7.4889883466090293e+02 7.4713746782780663e+02 7.4517570652307063e+02 7.4301370062690103e+02 7.4057520060861839e+02 7.3784118849145000e+02 7.3477199236302852e+02 7.3132491964571500e+02 7.2745594357267021e+02 7.2312090445959620e+02 7.1827176219392300e+02 7.1291145416698555e+02 7.0695133065224843e+02 7.0040968472841973e+02 6.9330165387544093e+02 6.8568299472363606e+02 6.7764857062020701e+02 6.6937893993420607e+02 6.6114351625357790e+02 6.5337901616862086e+02 6.4664334762371266e+02 6.4180106576547905e+02 6.4005997793380550e+02 6.4317302830480389e+02 6.5369343676128597e+02 6.7549016665763088e+02 7.1468838728997866e+02 7.8160278030172492e+02 5.1993333826533650e+01 +2.5193204530313196e+01 6.6023966698644135e+03 6.6014825929134004e+03 6.6001964724346635e+03 6.5983360264851462e+03 6.5960829696347155e+03 6.5938420926191720e+03 6.5918462680161128e+03 6.5897511657765026e+03 6.5871193528207068e+03 6.5837432832403738e+03 6.5795310622627776e+03 6.5743511697398508e+03 6.5680323092280760e+03 6.5603790671093648e+03 6.5511732515047925e+03 6.5401599586734883e+03 6.5270333344028459e+03 6.5114333471079326e+03 6.4929421716566385e+03 6.4710767440995824e+03 6.4452818787296110e+03 6.4149143810846281e+03 6.3791299120337817e+03 6.3364757072939874e+03 6.2852323607177577e+03 6.2246514513698248e+03 6.1541739542452660e+03 6.0727675157427566e+03 5.9791859441982051e+03 5.8721405026793145e+03 5.7503719669524990e+03 5.6127190170620215e+03 5.4582025449338180e+03 5.2861267421317334e+03 5.0961943392710937e+03 4.8886276428418014e+03 4.6642858155332888e+03 4.4247612595708824e+03 4.1724370081315574e+03 3.9104832601418916e+03 3.6227269588080094e+03 3.3338343431032308e+03 3.0496617730483363e+03 2.7759769047741893e+03 2.5179803069014138e+03 2.2798750033752026e+03 2.0645582500569135e+03 1.8734862964099955e+03 1.7067271108242849e+03 1.5631645046480328e+03 1.4408146353605302e+03 1.3371992812626568e+03 1.2496807051353564e+03 1.1756517599864148e+03 1.1127554128977517e+03 1.0589952338010191e+03 1.0127217657970276e+03 9.7262985311467173e+02 9.3769114642892634e+02 9.0713164540139610e+02 8.8032495365554360e+02 8.5680778861879503e+02 8.3617804665275025e+02 8.1814941032817512e+02 8.0244672175201413e+02 7.8884126346563824e+02 7.7715304317855180e+02 7.6719560505437551e+02 7.5878456104577174e+02 7.5178165545024399e+02 7.4601801484430018e+02 7.4136012893889051e+02 7.3765797876337319e+02 7.3477579607594453e+02 7.3253260810998006e+02 7.3075468876786465e+02 7.2930476472941359e+02 7.2805654650580209e+02 7.2689238417190427e+02 7.2607306098644631e+02 7.2524718758570543e+02 7.2440511367999659e+02 7.2352334847488748e+02 7.2261378117834886e+02 7.2165101124595230e+02 7.2066347148109321e+02 7.1956880203006892e+02 7.1839725147106174e+02 7.1712725758584531e+02 7.1574198268948101e+02 7.1422096649334526e+02 7.1254115998464226e+02 7.1067023951749127e+02 7.0860834179147105e+02 7.0628275673570170e+02 7.0367534327013743e+02 7.0074826649525528e+02 6.9746081072331719e+02 6.9377098785773444e+02 6.8963668304087685e+02 6.8501208188679925e+02 6.7989997978075212e+02 6.7421584033890485e+02 6.6797710599441098e+02 6.6119821329957904e+02 6.5393233708045761e+02 6.4626994803474224e+02 6.3838324375740308e+02 6.3052916371563708e+02 6.2312419675506976e+02 6.1670042450575897e+02 6.1208236542652605e+02 6.1042190021721024e+02 6.1339080053643784e+02 6.2342405952158197e+02 6.4421148812414708e+02 6.8159463035752344e+02 7.4541053735253820e+02 4.9463624787362640e+01 +2.5249833444370491e+01 6.3120100467993598e+03 6.3111323108666411e+03 6.3099021601505683e+03 6.3081221820146284e+03 6.3059656487773755e+03 6.3038191297128169e+03 6.3019052716475171e+03 6.2998950461105669e+03 6.2973701894285496e+03 6.2941319241866313e+03 6.2900919964091117e+03 6.2851242921101202e+03 6.2790646045637386e+03 6.2717255881153424e+03 6.2628980558808871e+03 6.2523376361107566e+03 6.2397511201626730e+03 6.2247933652878137e+03 6.2070638416549527e+03 6.1860995092246230e+03 6.1613682312843066e+03 6.1322535690722234e+03 6.0979463784786703e+03 6.0570544150573405e+03 6.0079298682136223e+03 5.9498560753943648e+03 5.8822984520483406e+03 5.8042690283997017e+03 5.7145753374837886e+03 5.6119847918233581e+03 5.4952938987824746e+03 5.3633939460996407e+03 5.2153519095501561e+03 5.0505073830267293e+03 4.8685829634711345e+03 4.6698000437754381e+03 4.4549908031329342e+03 4.2256899410402111e+03 3.9841888126380913e+03 3.7335310707760204e+03 3.4582567737922454e+03 3.1819765264718517e+03 2.9102939347348638e+03 2.6487212663195969e+03 2.4022220555870558e+03 2.1748006054564903e+03 1.9692092484152186e+03 1.7868214646106364e+03 1.6276846393383194e+03 1.4907170530948511e+03 1.3740114833669463e+03 1.2751921866161849e+03 1.1917345305513084e+03 1.1211460452609554e+03 1.0611751984661505e+03 1.0099161045091600e+03 9.6579492131309325e+02 9.2756682436456163e+02 8.9425130897845895e+02 8.6511056063901128e+02 8.3954755335025129e+02 8.1712077629868929e+02 7.9744701716159966e+02 7.8025342263369419e+02 7.6527774265542007e+02 7.5230197600622000e+02 7.4115455345082353e+02 7.3165772679901295e+02 7.2363569671049470e+02 7.1695664144666591e+02 7.1145953573762824e+02 7.0701705596430031e+02 7.0348613325404438e+02 7.0073727738514151e+02 6.9859788276327390e+02 6.9690225788511304e+02 6.9551946666031893e+02 6.9432905452836178e+02 6.9321881556943549e+02 6.9243744639157740e+02 6.9164983144230962e+02 6.9084676690413846e+02 6.9000584993238260e+02 6.8913841885053921e+02 6.8822025097523840e+02 6.8727845592154426e+02 6.8623449758311392e+02 6.8511721965987795e+02 6.8390605881020338e+02 6.8258495735784879e+02 6.8113440284174897e+02 6.7953241400161744e+02 6.7774816578658692e+02 6.7578178264409132e+02 6.7356393109280032e+02 6.7107730690216795e+02 6.6828582789007498e+02 6.6515066454156829e+02 6.6163177387928670e+02 6.5768899203930334e+02 6.5327862816331128e+02 6.4840334245670078e+02 6.4298252269254294e+02 6.3703279987448741e+02 6.3056794179378949e+02 6.2363865994466778e+02 6.1633123394586949e+02 6.0880988427901946e+02 6.0131964864656311e+02 5.9425771664950332e+02 5.8813152832926869e+02 5.8372740284105134e+02 5.8214386056049443e+02 5.8497522560244772e+02 5.9454368954500501e+02 6.1436813188846043e+02 6.5001948633534380e+02 7.1087909149703887e+02 4.7056284178114076e+01 +2.5306462358427787e+01 6.0342310192863351e+03 6.0333880910730877e+03 6.0322115522261074e+03 6.0305086178323772e+03 6.0284445305060335e+03 6.0263884696195173e+03 6.0245532776125010e+03 6.0226245683145853e+03 6.0202024155117424e+03 6.0170964489216112e+03 6.0132219132857335e+03 6.0084578832570151e+03 6.0026469538624997e+03 5.9956095207076432e+03 5.9871450376271068e+03 5.9770192380740855e+03 5.9649510461469290e+03 5.9506096043215994e+03 5.9336109759760730e+03 5.9135113309582684e+03 5.8898006431209169e+03 5.8618881377411481e+03 5.8289984263760298e+03 5.7897973109903332e+03 5.7427056528303692e+03 5.6870372259644701e+03 5.6222808380873912e+03 5.5474910303199131e+03 5.4615267870273819e+03 5.3632092691808912e+03 5.2513882958700497e+03 5.1250054275520079e+03 4.9831716069300410e+03 4.8252600976126141e+03 4.6510122137499793e+03 4.4606480902765070e+03 4.2549736153684244e+03 4.0354677314966566e+03 3.8043334853904280e+03 3.5644928607661359e+03 3.3011680430514994e+03 3.0369583310197822e+03 2.7772252366515904e+03 2.5272367117429244e+03 2.2917298470992223e+03 2.0745194331262392e+03 1.8782199524280295e+03 1.7041265816670282e+03 1.5522678655439693e+03 1.4215957869906197e+03 1.3102769687973237e+03 1.2160340546093989e+03 1.1364507878125478e+03 1.0691444299192128e+03 1.0119643052295290e+03 9.6309102597656226e+02 9.2102294389406222e+02 8.8457281034569337e+02 8.5280576399924962e+02 8.2501850216768764e+02 8.0064200575385632e+02 7.7925552234705367e+02 7.6049385156751885e+02 7.4409697684281866e+02 7.2981495580937587e+02 7.1744000582275874e+02 7.0680859002365571e+02 6.9775126478035247e+02 6.9010042295220921e+02 6.8373038003287820e+02 6.7848759742389461e+02 6.7425065414339963e+02 6.7088311237873302e+02 6.6826147234534460e+02 6.6622111236680041e+02 6.6460400737976022e+02 6.6328526873885858e+02 6.6215000974230747e+02 6.6109121886981291e+02 6.6034606128628786e+02 6.5959494834565544e+02 6.5882910223515705e+02 6.5802715812511485e+02 6.5719992875270236e+02 6.5632431515876874e+02 6.5542616482760332e+02 6.5443058941997413e+02 6.5336509244050251e+02 6.5221006356406986e+02 6.5095018931380230e+02 6.4956686154132160e+02 6.4803911771759579e+02 6.4633756252433409e+02 6.4446230902236073e+02 6.4234724487543269e+02 6.3997586446447906e+02 6.3731375785551018e+02 6.3432389511155384e+02 6.3096808907190984e+02 6.2720803729593615e+02 6.2300207490164507e+02 6.1835273341146763e+02 6.1318314418521811e+02 6.0750916422726789e+02 6.0134392326733769e+02 5.9473578256215228e+02 5.8776702306482491e+02 5.8059425437649861e+02 5.7345115879934849e+02 5.6671651299591338e+02 5.6087424635265825e+02 5.5667423263503031e+02 5.5516408164631991e+02 5.5786422572125980e+02 5.6698923363774395e+02 5.8589490097942178e+02 6.1989397492713579e+02 6.7793300396097675e+02 4.4765430703912202e+01 +2.5363091272485082e+01 5.7685202912744662e+03 5.7677108578800917e+03 5.7665855046861579e+03 5.7649563246856733e+03 5.7629807797550102e+03 5.7610114336482129e+03 5.7592517361924401e+03 5.7574013108233867e+03 5.7550777749483859e+03 5.7520988154047664e+03 5.7483830404444998e+03 5.7438145040519357e+03 5.7382423264086838e+03 5.7314943306915411e+03 5.7233782615055152e+03 5.7136695476722371e+03 5.7020987535051099e+03 5.6883487269934521e+03 5.6720514504900357e+03 5.6527815220316543e+03 5.6300501249599502e+03 5.6032911004472990e+03 5.5717614339248612e+03 5.5341825991764617e+03 5.4890413222271409e+03 5.4356805457970877e+03 5.3736114655851170e+03 5.3019293380020590e+03 5.2195424195132282e+03 5.1253233189613729e+03 5.0181728501119587e+03 4.8970806124509436e+03 4.7611994934373297e+03 4.6099347756053903e+03 4.4430454021463302e+03 4.2607499367166993e+03 4.0638286601992859e+03 3.8537066455027025e+03 3.6325018843909875e+03 3.4030193889169136e+03 3.1511338073436827e+03 2.8984756405745952e+03 2.6501745295562096e+03 2.4112647144244697e+03 2.1862669707872146e+03 1.9788153678475021e+03 1.7913932752073865e+03 1.6252218008869079e+03 1.4803122765497903e+03 1.3556496176447472e+03 1.2494716079586767e+03 1.1595953429797253e+03 1.0837084040208597e+03 1.0195330465587940e+03 9.6501500778466118e+02 9.1841752901767131e+02 8.7830788720618011e+02 8.4355377828419557e+02 8.1326388296913399e+02 7.8676781291554073e+02 7.6352325502122915e+02 7.4312924857371206e+02 7.2523776627020527e+02 7.0960102980864588e+02 6.9598083200749500e+02 6.8417913401524902e+02 6.7404005860799134e+02 6.6540208210253445e+02 6.5810541116861293e+02 6.5203021534845493e+02 6.4703009771582640e+02 6.4298926879608530e+02 6.3977761729243889e+02 6.3727735930853601e+02 6.3533149120227051e+02 6.3378930289103346e+02 6.3253167649492559e+02 6.3144903819865976e+02 6.3043933260129563e+02 6.2972872338550087e+02 6.2901243583696134e+02 6.2828209860918093e+02 6.2751733722150641e+02 6.2672846297306512e+02 6.2589344895556746e+02 6.2503693879191383e+02 6.2408752394351200e+02 6.2307142945802741e+02 6.2196995425077228e+02 6.2076849486227820e+02 6.1944930591908928e+02 6.1799239682892903e+02 6.1636973627861107e+02 6.1458142675286501e+02 6.1256442870155945e+02 6.1030299860665821e+02 6.0776432197131862e+02 6.0491308577700408e+02 6.0171287343751544e+02 5.9812715843386206e+02 5.9411620874427979e+02 5.8968243339834999e+02 5.8475253499899316e+02 5.7934163226924318e+02 5.7346224618450674e+02 5.6716049571622659e+02 5.6051484682211947e+02 5.5367464781098181e+02 5.4686274711771216e+02 5.4044035448209434e+02 5.3486896818780110e+02 5.3086369080476720e+02 5.2942355997856725e+02 5.3199851042460773e+02 5.4070043151443758e+02 5.5872952579139644e+02 5.9115221307418221e+02 6.4650022319796653e+02 4.2585463716975717e+01 +2.5419720186542378e+01 5.5143612199013733e+03 5.5135838573592500e+03 5.5125075739475815e+03 5.5109489947478014e+03 5.5090582123961349e+03 5.5071719875055478e+03 5.5054847386893980e+03 5.5037094917491149e+03 5.5014806451539062e+03 5.4986236071537696e+03 5.4950602207686370e+03 5.4906793180345685e+03 5.4853362785873642e+03 5.4788660520453850e+03 5.4710843375842605e+03 5.4617758658421317e+03 5.4506823683945931e+03 5.4374998419590092e+03 5.4218755404328758e+03 5.4034017394424918e+03 5.3816099666047630e+03 5.3559576727188214e+03 5.3257328905930599e+03 5.2897104862175756e+03 5.2464403554977180e+03 5.1952933934611210e+03 5.1358022217358985e+03 5.0671010906535348e+03 4.9881454398658043e+03 4.8978571219086925e+03 4.7951857266456655e+03 4.6791667559495545e+03 4.5489931105045735e+03 4.4041005190736087e+03 4.2442645236218677e+03 4.0697018322728554e+03 3.8811677930594756e+03 3.6800354398893382e+03 3.4683408504916115e+03 3.2487765894186796e+03 3.0078413719031137e+03 2.7662376617792124e+03 2.5288730319429819e+03 2.3005581661889978e+03 2.0856072105626781e+03 1.8874819056165793e+03 1.7085409237802971e+03 1.5499353197998030e+03 1.4116607316450381e+03 1.2927342360490004e+03 1.1914621815098537e+03 1.1057523301558831e+03 1.0333917475337289e+03 9.7220314532374709e+02 9.2022442186203045e+02 8.7579774882635922e+02 8.3755620551635718e+02 8.0441991972704545e+02 7.7553910842580206e+02 7.5027477317938599e+02 7.2811006572434314e+02 7.0866289486950575e+02 6.9160160618187035e+02 6.7669008878616148e+02 6.6370132453165797e+02 6.5244656541830261e+02 6.4277723824129839e+02 6.3453937229140058e+02 6.2758062696339823e+02 6.2178675560014881e+02 6.1701817368742866e+02 6.1316446445197198e+02 6.1010155241428606e+02 6.0771710746595727e+02 6.0586139470925912e+02 6.0439068352484207e+02 6.0319136264699944e+02 6.0215892772589598e+02 6.0119605201880825e+02 6.0051840357101287e+02 5.9983534103679744e+02 5.9913888088414012e+02 5.9840959348306126e+02 5.9765731174367374e+02 5.9686103148702455e+02 5.9604424807723831e+02 5.9513887247629395e+02 5.9416991019008299e+02 5.9311952759277028e+02 5.9197379861090883e+02 5.9071580099834182e+02 5.8932647143563520e+02 5.8777907987430171e+02 5.8607371898601536e+02 5.8415028041197968e+02 5.8199374787749866e+02 5.7957282900621601e+02 5.7685384879493097e+02 5.7380207986574328e+02 5.7038269000855837e+02 5.6655779118411726e+02 5.6232967582218475e+02 5.5762845328128139e+02 5.5246853808886192e+02 5.4686187044242888e+02 5.4085243006957432e+02 5.3451504325082124e+02 5.2799213069512518e+02 5.2149620479060218e+02 5.1537171588305853e+02 5.1005876163628693e+02 5.0623927147987956e+02 5.0486594298630621e+02 5.0732145306129843e+02 5.1561973027605029e+02 5.3281253438276394e+02 5.6373127772959538e+02 6.1651193481336441e+02 4.0511049932022871e+01 +2.5476349100599673e+01 5.2712588406001178e+03 5.2705123316056170e+03 5.2694829652659901e+03 5.2679919582238836e+03 5.2661823910763969e+03 5.2643758190341050e+03 5.2627580892962014e+03 5.2610550363618804e+03 5.2589171044981704e+03 5.2561771010024431e+03 5.2527599806586159e+03 5.2485591600022999e+03 5.2434360230848015e+03 5.2372323567995563e+03 5.2297714919588489e+03 5.2208470831084214e+03 5.2102115749142631e+03 5.1975735781428584e+03 5.1825949965496484e+03 5.1648850626042640e+03 5.1439948175379959e+03 5.1194043556804736e+03 5.0904314839010076e+03 5.0559022720800176e+03 5.0144271988697055e+03 4.9654039448540470e+03 4.9083856359888505e+03 4.8425438663685827e+03 4.7668792565958256e+03 4.6803607911437130e+03 4.5819847118764201e+03 4.4708303793002642e+03 4.3461288624856079e+03 4.2073448382293864e+03 4.0542694720701847e+03 3.8871173594937595e+03 3.7066195804048302e+03 3.5140989047132894e+03 3.3115125280448960e+03 3.1014449243139265e+03 2.8709916950753527e+03 2.6399663504948471e+03 2.4130637951416934e+03 2.1948808812582606e+03 1.9895343870685315e+03 1.8003217358762531e+03 1.6294830126306078e+03 1.4781030256450213e+03 1.3461631366819779e+03 1.2327118129351343e+03 1.1361214570217905e+03 1.0543868572802564e+03 9.8539038672154322e+02 9.2705086699302228e+02 8.7749428967493168e+02 8.3513822083293030e+02 7.9867855861214298e+02 7.6708546329224987e+02 7.3954877352028905e+02 7.1545942611110218e+02 6.9432485352009098e+02 6.7578095440413222e+02 6.5951168389868224e+02 6.4529205406177255e+02 6.3290571478779361e+02 6.2217277683432394e+02 6.1295163174553875e+02 6.0509551164923130e+02 5.9845918410279512e+02 5.9293372835065179e+02 5.8838605806081125e+02 5.8471088212663744e+02 5.8178988340779586e+02 5.7951593537625263e+02 5.7774623843709742e+02 5.7634372115126109e+02 5.7520002667478786e+02 5.7421548774068901e+02 5.7329728913586393e+02 5.7265108608534115e+02 5.7199972099930972e+02 5.7133558035750616e+02 5.7064013595123913e+02 5.6992276429960987e+02 5.6916343688221571e+02 5.6838455386188809e+02 5.6752119270991398e+02 5.6659719562179066e+02 5.6559555654550297e+02 5.6450299565126522e+02 5.6330337597487437e+02 5.6197851883669296e+02 5.6050293557266616e+02 5.5887670975220169e+02 5.5704252907692944e+02 5.5498607123501790e+02 5.5267749598777777e+02 5.5008469103729533e+02 5.4717454054823236e+02 5.4391382872046995e+02 5.4026642666510941e+02 5.3623451582195707e+02 5.3175145532429497e+02 5.2683098802935660e+02 5.2148450005776795e+02 5.1575393024975972e+02 5.0971063254893573e+02 5.0349041857473469e+02 4.9729593984176273e+02 4.9145565807918848e+02 4.8638925394594924e+02 4.8274700907001687e+02 4.8143741148475857e+02 4.8377897268819862e+02 4.9169216437422699e+02 5.0808712843394176e+02 5.3757107461404325e+02 5.8790241803133131e+02 3.8537110764794939e+01 +2.5532978014656969e+01 5.0387392017856901e+03 5.0380222295472595e+03 5.0370377155636197e+03 5.0356114547650441e+03 5.0338796615279389e+03 5.0321494313984394e+03 5.0305984116006266e+03 5.0289646822619079e+03 5.0269140372464717e+03 5.0242863723589771e+03 5.0210096356255190e+03 5.0169816421047681e+03 5.0120695355047592e+03 5.0061216623428654e+03 4.9989686748559279e+03 4.9904127886346450e+03 4.9802167253663329e+03 4.9681011963932951e+03 4.9537421583633977e+03 4.9367651086369187e+03 4.9167398045050295e+03 4.8931680564113130e+03 4.8653962230318548e+03 4.8322994775824936e+03 4.7925463978976359e+03 4.7455603310116348e+03 4.6909140243727197e+03 4.6278148340480284e+03 4.5553066425404868e+03 4.4724035431383554e+03 4.3781463961596264e+03 4.2716564659313790e+03 4.1522012279993305e+03 4.0192728801254689e+03 3.8726772884650113e+03 3.7126267041990477e+03 3.5398285936593388e+03 3.3555571835702067e+03 3.1616937137886353e+03 2.9607187629826362e+03 2.7402988026296712e+03 2.5193958624292286e+03 2.3025011911058250e+03 2.0940071213292795e+03 1.8978419194112589e+03 1.7171463385367811e+03 1.5540476939299142e+03 1.4095681562154366e+03 1.2836761325950558e+03 1.1754507118913757e+03 1.0833279236094334e+03 1.0053860814953898e+03 9.3959885926130801e+02 8.8397702596940280e+02 8.3673077463323625e+02 7.9634968547299150e+02 7.6158962522612774e+02 7.3146849558090457e+02 7.0521392943903277e+02 6.8224541081422865e+02 6.6209352320975495e+02 6.4441131603004987e+02 6.2889762589241536e+02 6.1533806845065067e+02 6.0352646467692750e+02 5.9329137188987931e+02 5.8449782271813115e+02 5.7700591806126840e+02 5.7067720485054849e+02 5.6540784212700123e+02 5.6107094186189431e+02 5.5756610282223994e+02 5.5478050135433057e+02 5.5261197566639305e+02 5.5092434316052720e+02 5.4958688584118909e+02 5.4849626052399981e+02 5.4755741518281400e+02 5.4668183887493296e+02 5.4606563482911542e+02 5.4544450916329106e+02 5.4481120137099492e+02 5.4414804321321822e+02 5.4346397581653866e+02 5.4273990139043656e+02 5.4199717552639288e+02 5.4117389619946744e+02 5.4029279595354171e+02 5.3933765824586396e+02 5.3829581976268139e+02 5.3715189269973064e+02 5.3588854232418828e+02 5.3448146420516889e+02 5.3293073347562574e+02 5.3118170493683010e+02 5.2922071846641143e+02 5.2701931916580122e+02 5.2454688555969369e+02 5.2177183922629331e+02 5.1866250642180717e+02 5.1518443644048909e+02 5.1133970507498492e+02 5.0706477141417628e+02 5.0237273768295722e+02 4.9727446141156759e+02 4.9180993443193086e+02 4.8604719807226149e+02 4.8011575887408043e+02 4.7420886102361391e+02 4.6863971331194898e+02 4.6380851824694497e+02 4.6033536555225800e+02 4.5908656727158655e+02 4.6131942111959182e+02 4.6886524081006047e+02 4.8449906461937024e+02 5.1261421270769063e+02 5.6060890843730215e+02 3.6658810264774473e+01 +2.5589606928714264e+01 4.8163481733128756e+03 4.8156595348474957e+03 4.8147180502732426e+03 4.8133536680144334e+03 4.8116963494708834e+03 4.8100392858242285e+03 4.8085522853327575e+03 4.8069851202127029e+03 4.8050182746698083e+03 4.8024984364816346e+03 4.7993564319161733e+03 4.7954942958677739e+03 4.7907846969356906e+03 4.7850822746304275e+03 4.7782247046496359e+03 4.7700224152146848e+03 4.7602479863481112e+03 4.7486337368896830e+03 4.7348691032502738e+03 4.7185951832792798e+03 4.6993996846790214e+03 4.6768052437457045e+03 4.6501855978019621e+03 4.6184630071185384e+03 4.5803617647270803e+03 4.5353298107278242e+03 4.4829586684303576e+03 4.4224899396909495e+03 4.3530089296527149e+03 4.2735729023347067e+03 4.1832653896903121e+03 4.0812476902952712e+03 3.9668220035272811e+03 3.8395066889036957e+03 3.6991214398888483e+03 3.5458759554290991e+03 3.3804547323379802e+03 3.2040851220688382e+03 3.0185752328297081e+03 2.8263057875689074e+03 2.6154892266644333e+03 2.4042720269206611e+03 2.1969504219139358e+03 1.9977211409146960e+03 1.8103324056979272e+03 1.6377755983337477e+03 1.4820708037341822e+03 1.3441809753964751e+03 1.2240627974576498e+03 1.1208252149569132e+03 1.0329655381495547e+03 9.5864223999050023e+02 8.9591645149909857e+02 8.4288690275178169e+02 7.9784426502822123e+02 7.5934690148766379e+02 7.2620792461154383e+02 6.9749078991535919e+02 6.7245918036705461e+02 6.5055980273180478e+02 6.3134531387150582e+02 6.1448511355747655e+02 5.9969222541895158e+02 5.8676237336977977e+02 5.7549907541643029e+02 5.6573894223467357e+02 5.5735333876697712e+02 5.5020891596567492e+02 5.4417368640371592e+02 5.3914865407475190e+02 5.3501284307622120e+02 5.3167051699550018e+02 5.2901409287042463e+02 5.2694614564803248e+02 5.2533680588519303e+02 5.2406141718577396e+02 5.2302142017888366e+02 5.2212616630700461e+02 5.2129125106446486e+02 5.2070366550613596e+02 5.2011138763782174e+02 5.1950749374603129e+02 5.1887513599465842e+02 5.1822284016078652e+02 5.1753239630281792e+02 5.1682416375248908e+02 5.1603912164971939e+02 5.1519894409775770e+02 5.1428816772792061e+02 5.1329471737012227e+02 5.1220391990449787e+02 5.1099924570533619e+02 5.0965752002769318e+02 5.0817881019276655e+02 5.0651101503041821e+02 5.0464110627385628e+02 5.0254195061120055e+02 5.0018434878005741e+02 4.9753818901877861e+02 4.9457326867406152e+02 4.9125673794581684e+02 4.8759057206624209e+02 4.8351418710252210e+02 4.7904007426360005e+02 4.7417858681549257e+02 4.6896785918232274e+02 4.6347277252808010e+02 4.5781681847909039e+02 4.5218426678345753e+02 4.4687377545296698e+02 4.4226696495424687e+02 4.3895512268614658e+02 4.3776432563193151e+02 4.3989347490981180e+02 4.4708882934992073e+02 4.6199654116418230e+02 4.8880588422191437e+02 5.3457146670979569e+02 3.4871543614500617e+01 +2.5646235842771560e+01 4.6036509156558077e+03 4.6029894405837140e+03 4.6020890610439756e+03 4.6007839479695576e+03 4.5991979420643629e+03 4.5976109904708655e+03 4.5961854212290318e+03 4.5946821691183641e+03 4.5927957707883643e+03 4.5903794243632456e+03 4.5873667226751204e+03 4.5836637488360266e+03 4.5791484711224402e+03 4.5736815659671593e+03 4.5671074463853629e+03 4.5592444186861940e+03 4.5498745192628812e+03 4.5387412009881609e+03 4.5255468297587404e+03 4.5099474660855240e+03 4.4915480330464916e+03 4.4698911382194919e+03 4.4443767715965660e+03 4.4139723452323815e+03 4.3774555790397626e+03 4.3342979767081624e+03 4.2841090274646704e+03 4.2261631256813434e+03 4.1595852364834454e+03 4.0834739380585834e+03 3.9969535703571964e+03 3.8992236781766005e+03 3.7896195779166696e+03 3.6676844963683557e+03 3.5332511281603001e+03 3.3865264342362998e+03 3.2281725751412841e+03 3.0593716433687759e+03 2.8818613406405284e+03 2.6979264233183239e+03 2.4963014680974024e+03 2.2943518429835949e+03 2.0961870501164062e+03 1.9058167520742832e+03 1.7268172215453726e+03 1.5620374358073618e+03 1.4133955234901459e+03 1.2817984627889023e+03 1.1671923615038022e+03 1.0687152601955088e+03 9.8492348256898026e+02 9.1405242435316848e+02 8.5424698746050296e+02 8.0369004547975749e+02 7.6074918629869444e+02 7.2404846738497747e+02 6.9245564592282267e+02 6.6507764256949793e+02 6.4121252566384806e+02 6.2033296101152644e+02 6.0201265076162008e+02 5.8593658162606152e+02 5.7183130185798825e+02 5.5950217120028992e+02 5.4876195253216611e+02 5.3945493480839343e+02 5.3145852072992659e+02 5.2464560722747717e+02 5.1889037316707106e+02 5.1409844339753431e+02 5.1015448105123926e+02 5.0696719973248321e+02 5.0443401589511467e+02 5.0246202359053729e+02 5.0092737649607159e+02 4.9971120124064470e+02 4.9871950284988748e+02 4.9786583408040968e+02 4.9706970803148511e+02 4.9650942335104986e+02 4.9594466507447657e+02 4.9536883079624590e+02 4.9476585532067207e+02 4.9414386820232892e+02 4.9348550642681312e+02 4.9281017916315500e+02 4.9206161374396305e+02 4.9126047470049673e+02 4.9039201716017362e+02 4.8944472701820342e+02 4.8840461293121587e+02 4.8725591331337165e+02 4.8597653104792676e+02 4.8456652622394836e+02 4.8297622425825597e+02 4.8119319977987595e+02 4.7919158021384516e+02 4.7694352302919646e+02 4.7442031559576475e+02 4.7159315861628556e+02 4.6843072944478405e+02 4.6493490759796293e+02 4.6104792967122040e+02 4.5678170412162086e+02 4.5214610316565268e+02 4.4717748934044556e+02 4.4193772914613061e+02 4.3654457623479828e+02 4.3117373908325862e+02 4.2610999507249022e+02 4.2171723791752095e+02 4.1855927894062421e+02 4.1742381254775756e+02 4.1945403206096637e+02 4.2631505754527933e+02 4.4053008936109342e+02 4.6609374982144249e+02 5.0973285309710946e+02 3.3170926169151386e+01 +2.5702864756828856e+01 4.4002307237644036e+03 4.3995953292645754e+03 4.3987343589277843e+03 4.3974860003209460e+03 4.3959682735367514e+03 4.3944485021585251e+03 4.3930818729571238e+03 4.3916399844112557e+03 4.3898308113891790e+03 4.3875137918606188e+03 4.3846251773944950e+03 4.3810749344214764e+03 4.3767461147839476e+03 4.3715051859532377e+03 4.3652030234527947e+03 4.3576654904907018e+03 4.3486836939251652e+03 4.3380117660677952e+03 4.3253644739860410e+03 4.3104122285375406e+03 4.2927764625872860e+03 4.2720189347261776e+03 4.2475648069550525e+03 4.2184247856901711e+03 4.1834278213395983e+03 4.1420679938667745e+03 4.0939719826629330e+03 4.0384455817821095e+03 3.9746517270830072e+03 3.9017285325811945e+03 3.8188393622540152e+03 3.7252202972195273e+03 3.6202382365770868e+03 3.5034600416753965e+03 3.3747306269340747e+03 3.2342540502080433e+03 3.0826707579199860e+03 2.9211191496565762e+03 2.7512691500053884e+03 2.5753132927321253e+03 2.3824854817983728e+03 2.1894029966610224e+03 1.9999965490475329e+03 1.8180969077646998e+03 1.6471161358321935e+03 1.4897674541813622e+03 1.3478720561832763e+03 1.2222840168060090e+03 1.1129399345506254e+03 1.0190061907013459e+03 9.3909593173934536e+02 8.7151836479875897e+02 8.1449862708740250e+02 7.6630008015795931e+02 7.2536382151231783e+02 6.9037665071197580e+02 6.6025848505660576e+02 6.3415771615199105e+02 6.1140520894370320e+02 5.9149838254975816e+02 5.7403100369480649e+02 5.5870291787917688e+02 5.4525356620321043e+02 5.3349749367585730e+02 5.2325627675877865e+02 5.1438152491184053e+02 5.0675639760952129e+02 5.0025974766855950e+02 4.9477163461979865e+02 4.9020209033802649e+02 4.8644115639101318e+02 4.8340179138859321e+02 4.8098618092046127e+02 4.7910573040765445e+02 4.7764233980174589e+02 4.7648265285765439e+02 4.7553702953953251e+02 4.7472303094910905e+02 4.7396390755488790e+02 4.7342966621598379e+02 4.7289115988321350e+02 4.7234209268002428e+02 4.7176714600863949e+02 4.7117407145741447e+02 4.7054631388493272e+02 4.6990237627942338e+02 4.6918860727453063e+02 4.6842470846334317e+02 4.6759662037226394e+02 4.6669336411628728e+02 4.6570159872505843e+02 4.6460629527212450e+02 4.6338638458601167e+02 4.6204192007077256e+02 4.6052554165331321e+02 4.5882539921534908e+02 4.5691682284285838e+02 4.5477326424060323e+02 4.5236734546001395e+02 4.4967160591572275e+02 4.4665617972651484e+02 4.4332285530472461e+02 4.3961655956736956e+02 4.3554864518174725e+02 4.3112852547592070e+02 4.2639087271831215e+02 4.2139467761222062e+02 4.1625222015094755e+02 4.1113104186827803e+02 4.0630267910053294e+02 4.0211411511588182e+02 3.9910295093259180e+02 3.9802026640228826e+02 3.9995611325097127e+02 4.0649821034475718e+02 4.2005246983553093e+02 4.4442782887025493e+02 4.8603840738811522e+02 3.1552783011270630e+01 +2.5759493670886151e+01 4.2056888408475897e+03 4.2050784979186274e+03 4.2042550996583368e+03 4.2030610602718270e+03 4.2016087363744846e+03 4.2001533659043916e+03 4.1988432768495641e+03 4.1974602987614317e+03 4.1957252548516317e+03 4.1935035607768505e+03 4.1907340232936522e+03 4.1873303336946028e+03 4.1831804199110193e+03 4.1781563043126871e+03 4.1721150611377325e+03 4.1648898020672750e+03 4.1562803339742486e+03 4.1460510321392012e+03 4.1339285576121611e+03 4.1195970837909936e+03 4.1026938760365092e+03 4.0827990566571652e+03 4.0593619225311841e+03 4.0314346918154702e+03 3.9978954373477977e+03 3.9582598685432163e+03 3.9121711120103228e+03 3.8589650265674104e+03 3.7978409000587808e+03 3.7279746789430633e+03 3.6485670436471964e+03 3.5588889764710707e+03 3.4583374942103496e+03 3.3465019189727586e+03 3.2232386460963507e+03 3.0887486845392050e+03 2.9436513774481259e+03 2.7890429485304958e+03 2.6265280818869915e+03 2.4582106926588117e+03 2.2738021834088104e+03 2.0892033988306957e+03 1.9081738722792034e+03 1.7343733029885800e+03 1.5710569429675877e+03 1.4208086014951746e+03 1.2853573165257619e+03 1.1655071706813781e+03 1.0611862453083197e+03 9.7158851457641174e+02 8.9538183151577982e+02 8.3094622383162061e+02 7.7658367331041131e+02 7.3063452919599604e+02 6.9161013971223974e+02 6.5825722480500485e+02 6.2954548863871651e+02 6.0466288985925962e+02 5.8297157376657970e+02 5.6399256242246895e+02 5.4733875162464108e+02 5.3272415116970296e+02 5.1990049244929810e+02 5.0869107602745026e+02 4.9892588059252637e+02 4.9046349484284480e+02 4.8319256699187389e+02 4.7699762899679337e+02 4.7176434852940486e+02 4.6740696045890820e+02 4.6382063611521340e+02 4.6092238345421543e+02 4.5861893742392300e+02 4.5682581652966707e+02 4.5543040275067926e+02 4.5432460317098020e+02 4.5342293274865551e+02 4.5264677673519549e+02 4.5192295094433047e+02 4.5141355277435480e+02 4.5090008856531017e+02 4.5037655486222161e+02 4.4982834526793914e+02 4.4926285082621644e+02 4.4866428699756511e+02 4.4805029255671963e+02 4.4736971634905109e+02 4.4664134152920445e+02 4.4585176243495999e+02 4.4499051073685843e+02 4.4404486586284747e+02 4.4300049778206125e+02 4.4183731785535690e+02 4.4055537330792475e+02 4.3910951163391735e+02 4.3748843157478029e+02 4.3566861045374537e+02 4.3362473456433924e+02 4.3133069913058767e+02 4.2876032058302502e+02 4.2588512263040548e+02 4.2270680697248986e+02 4.1917286659118957e+02 4.1529412409475071e+02 4.1107955506905051e+02 4.0656221941133816e+02 4.0179836456086662e+02 3.9689504910776049e+02 3.9201202398463204e+02 3.8740819488283154e+02 3.8341441370380693e+02 3.8054327918544305e+02 3.7951094399356248e+02 3.8135676738896672e+02 3.8759463410255228e+02 4.0051857335586510e+02 4.2376039448568167e+02 4.6343593413753013e+02 3.0013138996672627e+01 +2.5816122584943447e+01 4.0196430868939419e+03 4.0190567570527451e+03 4.0182694359895850e+03 4.0171273515629878e+03 4.0157376103654410e+03 4.0143439671140691e+03 4.0130881198325392e+03 4.0117616935513265e+03 4.0100978036083402e+03 4.0079675906661823e+03 4.0053123173983608e+03 4.0020492478290835e+03 3.9980709866357424e+03 3.9932548843827208e+03 3.9874639607661043e+03 3.9805382798232872e+03 3.9722859928103871e+03 3.9624812989551697e+03 3.9508622663883789e+03 3.9371262668206905e+03 3.9209257479792045e+03 3.9018584402693546e+03 3.8793967801796280e+03 3.8526327868062449e+03 3.8204916322531190e+03 3.7825097474174031e+03 3.7383459946166499e+03 3.6873650181113544e+03 3.6288009065966553e+03 3.5618658074832110e+03 3.4857960832364879e+03 3.3998960537945823e+03 3.3035914549144932e+03 3.1964929518636445e+03 3.0784677223816811e+03 2.9497135986504350e+03 2.8108294199095749e+03 2.6628707032680245e+03 2.5073793392700127e+03 2.3463740933218974e+03 2.1700229769736411e+03 1.9935407425897995e+03 1.8205230414155735e+03 1.6544659930424039e+03 1.4984751109705751e+03 1.3550108473216965e+03 1.2257146345758449e+03 1.1113433208227825e+03 1.0118173920506521e+03 9.2635767539169183e+02 8.5368468649362342e+02 7.9224639894942595e+02 7.4041838757523499e+02 6.9661463789657557e+02 6.5941363177937706e+02 6.2761931269442516e+02 6.0024890485044091e+02 5.7652811628324866e+02 5.5584892564854988e+02 5.3775486043488536e+02 5.2187705315977132e+02 5.0794301554756265e+02 4.9571619460532378e+02 4.8502823665021288e+02 4.7571713025266922e+02 4.6764811784467577e+02 4.6071508070292197e+02 4.5480796591664432e+02 4.4981778928488978e+02 4.4566279399355346e+02 4.4224304385035327e+02 4.3947940942542328e+02 4.3728296527418286e+02 4.3557315373199026e+02 4.3424258658675802e+02 4.3318819201453670e+02 4.3232844910854084e+02 4.3158839145355904e+02 4.3089823602446245e+02 4.3041253562787949e+02 4.2992295894119047e+02 4.2942378146629642e+02 4.2890107617921291e+02 4.2836189020645764e+02 4.2779117404242265e+02 4.2720574228808727e+02 4.2655682845408518e+02 4.2586233971791393e+02 4.2510949408523976e+02 4.2428831023964483e+02 4.2338665940430207e+02 4.2239087822039278e+02 4.2128181333217964e+02 4.2005950626214286e+02 4.1868091002136345e+02 4.1713524701907784e+02 4.1540008891925487e+02 4.1345129968180981e+02 4.1126398899970951e+02 4.0881319144167810e+02 4.0607175619850432e+02 4.0304130243774591e+02 3.9967177063731697e+02 3.9597347789450646e+02 3.9195498223571838e+02 3.8764780552802858e+02 3.8310557843013038e+02 3.7843037887096000e+02 3.7377452635057125e+02 3.6938487844347975e+02 3.6557689921799573e+02 3.6283933801377725e+02 3.6185503066460637e+02 3.6361498131013445e+02 3.6956264479923880e+02 3.8188532599088109e+02 4.0404587319072908e+02 4.4187559292695255e+02 2.8548209268659342e+01 +2.5872751499000742e+01 3.8417276358973436e+03 3.8411643471772622e+03 3.8404114869617674e+03 3.8393191337378848e+03 3.8379893452745614e+03 3.8366548440315687e+03 3.8354510392819993e+03 3.8341788995988841e+03 3.8325833050113474e+03 3.8305408800588789e+03 3.8279952481242585e+03 3.8248671000248555e+03 3.8210535256270045e+03 3.8164369860118436e+03 3.8108862032636071e+03 3.8042479094768482e+03 3.7963382588902546e+03 3.7869408724186314e+03 3.7758047578866740e+03 3.7626399437227310e+03 3.7471134360253977e+03 3.7288398481081817e+03 3.7073138009743998e+03 3.6816654729073794e+03 3.6508651936478245e+03 3.6144692449276736e+03 3.5721515433903255e+03 3.5233042927806760e+03 3.4671948963309314e+03 3.4030701398616225e+03 3.3302005035675193e+03 3.2479221500379381e+03 3.1556881985805426e+03 3.0531295936422021e+03 2.9401236351254788e+03 2.8168648672827867e+03 2.6839322131479162e+03 2.5423419060248225e+03 2.3935754030183689e+03 2.2395696584049119e+03 2.0709293025169618e+03 1.9022120794413813e+03 1.7368567514707690e+03 1.5782030281114439e+03 1.4292134447116509e+03 1.2922308734770313e+03 1.1688134722254558e+03 1.0596734670089654e+03 9.6472460418345179e+02 8.8321383268909801e+02 8.1391235705965005e+02 7.5533333399199410e+02 7.0592281345736524e+02 6.6416520856081365e+02 6.2870315350270505e+02 5.9839523785855351e+02 5.7230404079515426e+02 5.4969128450399728e+02 5.2997740012856150e+02 5.1272737352297781e+02 4.9758972275615247e+02 4.8430482976779103e+02 4.7264730910954040e+02 4.6245676204294767e+02 4.5357881282444163e+02 4.4588504714890075e+02 4.3927433548065056e+02 4.3364178818945362e+02 4.2888352112847213e+02 4.2492160005438376e+02 4.2166075483875147e+02 4.1902554045956111e+02 4.1693117090756510e+02 4.1530083171130042e+02 4.1403212373889767e+02 4.1302676505964104e+02 4.1220701672046187e+02 4.1150139282745698e+02 4.1084335481659485e+02 4.1038025910082337e+02 4.0991346805999780e+02 4.0943752330351805e+02 4.0893914585055813e+02 4.0842505477763626e+02 4.0788090167165024e+02 4.0732271516164724e+02 4.0670400316662966e+02 4.0604183740444461e+02 4.0532403077896646e+02 4.0454106652359894e+02 4.0368138035726304e+02 4.0273194484059951e+02 4.0167449872198677e+02 4.0050907826622125e+02 3.9919464462324106e+02 3.9772091982359893e+02 3.9606651939148156e+02 3.9420843062923342e+02 3.9212292167841252e+02 3.8978618905340375e+02 3.8717234625056807e+02 3.8428293388542960e+02 3.8107022678993195e+02 3.7754405997214803e+02 3.7371259316039072e+02 3.6960588113777322e+02 3.6527505848879241e+02 3.6081745223211328e+02 3.5637829320061729e+02 3.5219294677067489e+02 3.4856219876960199e+02 3.4595204936638731e+02 3.4501355438110147e+02 3.4669159343256894e+02 3.5236244028355225e+02 3.6411159842684924e+02 3.8524074897247624e+02 4.2130979343588450e+02 2.7154390218736559e+01 +2.5929380413058038e+01 3.6715920638421162e+03 3.6710508912614214e+03 3.6703310313593961e+03 3.6692862700344754e+03 3.6680138661536143e+03 3.6667360279984318e+03 3.6655821539361541e+03 3.6643621260794675e+03 3.6628320806079682e+03 3.6608738960773953e+03 3.6584334651768781e+03 3.6554347657481176e+03 3.6517791887281933e+03 3.6473540967307645e+03 3.6420336809598716e+03 3.6356710686162919e+03 3.6280900891818183e+03 3.6190833991357094e+03 3.6084104973429248e+03 3.5957935491021303e+03 3.5809135200021296e+03 3.5634012103051227e+03 3.5427725090439189e+03 3.5181941782473746e+03 3.4886798420245836e+03 3.4538047980807764e+03 3.4132573649319802e+03 3.3664561309897822e+03 3.3127003899286437e+03 3.2512700695109193e+03 3.1814682705512064e+03 3.1026615688743723e+03 3.0143291925268595e+03 2.9161213522401486e+03 2.8079248462075270e+03 2.6899308350985270e+03 2.5626989016962380e+03 2.4272073730103307e+03 2.2848795488722144e+03 2.1375737853423398e+03 1.9763122027595145e+03 1.8150234134733580e+03 1.6569959931003880e+03 1.5054201035475135e+03 1.3631217636590031e+03 1.2323317781052181e+03 1.1145291520030439e+03 1.0103839638964334e+03 9.1980401421912154e+02 8.4206165209248491e+02 7.7597686533790602e+02 7.2012533876958696e+02 6.7302060802123594e+02 6.3321444186802648e+02 5.9941077553460889e+02 5.7052038152531372e+02 5.4564912612771741e+02 5.2409308918785484e+02 5.0529983662116945e+02 4.8885481375492157e+02 4.7442311234591028e+02 4.6175738208944074e+02 4.5064288240156463e+02 4.4092679680108137e+02 4.3246202834942028e+02 4.2512620988715037e+02 4.1882296844689694e+02 4.1345233743211185e+02 4.0891529607541236e+02 4.0513755548354169e+02 4.0202829555680506e+02 3.9951558561645868e+02 3.9751858805791090e+02 3.9596405920161448e+02 3.9475435923694846e+02 3.9379577546884627e+02 3.9301417700641923e+02 3.9234139830369418e+02 3.9171399571064160e+02 3.9127246152434464e+02 3.9082740459690547e+02 3.9037362038284471e+02 3.8989844804322456e+02 3.8940829374908446e+02 3.8888947779004940e+02 3.8835727927061561e+02 3.8776737531203173e+02 3.8713604083207309e+02 3.8645165617994320e+02 3.8570514769883698e+02 3.8488548955366741e+02 3.8398026087605865e+02 3.8297205131544706e+02 3.8186089229081779e+02 3.8060766017916717e+02 3.7920255367600237e+02 3.7762518399340212e+02 3.7585360993381687e+02 3.7386520462510128e+02 3.7163727290457780e+02 3.6914513419330655e+02 3.6639025434493573e+02 3.6332713458441083e+02 3.5996515017826442e+02 3.5631208093655948e+02 3.5239658226366822e+02 3.4826740786249252e+02 3.4401735309219151e+02 3.3978488722683358e+02 3.3579441395557944e+02 3.3233271804615350e+02 3.2984410045032422e+02 3.2894930357649713e+02 3.3054921120574073e+02 3.3595601637276411e+02 3.4715811926965705e+02 3.6730347154942979e+02 4.0169309512451406e+02 2.5828250873020824e+01 +2.5986009327115333e+01 3.5089008986607914e+03 3.5083809261718839e+03 3.5076926249965672e+03 3.5066933831587189e+03 3.5054759355854694e+03 3.5042523968838732e+03 3.5031464219486579e+03 3.5019764169871014e+03 3.5005092827133271e+03 3.4986319311938196e+03 3.4962924366420148e+03 3.4934179301387521e+03 3.4899139267951305e+03 3.4856724901038215e+03 3.4805730565498197e+03 3.4744748863887626e+03 3.4672091697353126e+03 3.4585772280220153e+03 3.4483486204877163e+03 3.4362571503840818e+03 3.4219971679945020e+03 3.4052149926793577e+03 3.3854469021013269e+03 3.3618947302931356e+03 3.3336136077132387e+03 3.3001970475824669e+03 3.2613471455253530e+03 3.2165077488755069e+03 3.1650086773221478e+03 3.1061615674633513e+03 3.0393007079832314e+03 2.9638217213347657e+03 2.8792287273519705e+03 2.7851902389323350e+03 2.6816019631432118e+03 2.5686515958493801e+03 2.4468799436697896e+03 2.3172287607838834e+03 2.1810653846935274e+03 2.0401726649693119e+03 1.8859719081513215e+03 1.7317893128075834e+03 1.5807696909690433e+03 1.4359602251653448e+03 1.3000565935430500e+03 1.1751827925968246e+03 1.0627425976717525e+03 9.6336628337794525e+02 8.7695643973136066e+02 8.0281010461686924e+02 7.3979420964985525e+02 6.8654441660886380e+02 6.4163888058431462e+02 6.0369378523143951e+02 5.7147163994072957e+02 5.4393304624683117e+02 5.2022518267443945e+02 4.9967690543709062e+02 4.8176165781430484e+02 4.6608439169071215e+02 4.5232599816114720e+02 4.4025082013479528e+02 4.2965426343250806e+02 4.2039073843866646e+02 4.1232008666140285e+02 4.0532570566393559e+02 3.9931575717109081e+02 3.9419496845025037e+02 3.8986895631749513e+02 3.8626690814869585e+02 3.8330224774440910e+02 3.8090639647871069e+02 3.7900228285257265e+02 3.7752006943619222e+02 3.7636665646059168e+02 3.7545268987344582e+02 3.7470748086923430e+02 3.7406603137665434e+02 3.7346784993784240e+02 3.7304688181307705e+02 3.7262255553523977e+02 3.7218990869939148e+02 3.7173687007666274e+02 3.7126954738219371e+02 3.7077489870234149e+02 3.7026748838769362e+02 3.6970506237782058e+02 3.6910313567966926e+02 3.6845062988689227e+02 3.6773889399482744e+02 3.6695741575343078e+02 3.6609435286021312e+02 3.6513310654596529e+02 3.6407370377079826e+02 3.6287884748398329e+02 3.6153919113561938e+02 3.6003529565402641e+02 3.5834624186978647e+02 3.5645045687979206e+02 3.5432630267153809e+02 3.5195024888105155e+02 3.4932369020768670e+02 3.4640325125737468e+02 3.4319786887352154e+02 3.3971496049034647e+02 3.3598184674172671e+02 3.3204501037611078e+02 3.2799292432205272e+02 3.2395760845158168e+02 3.2015301101633514e+02 3.1685256196184071e+02 3.1447986497468167e+02 3.1362674861172377e+02 3.1515213218587178e+02 3.2030708663532442e+02 3.3098739215427645e+02 3.5019436867250045e+02 3.8298211132120434e+02 2.4566524684486460e+01 +2.6042638241172629e+01 3.3533327733780670e+03 3.3528331592984068e+03 3.3521750557862288e+03 3.3512194139288881e+03 3.3500545616474774e+03 3.3488830522563235e+03 3.3478230236987324e+03 3.3467010341502601e+03 3.3452942772075207e+03 3.3434944862110792e+03 3.3412518322129285e+03 3.3384964715535880e+03 3.3351378736251550e+03 3.3310726101400442e+03 3.3261851480808518e+03 3.3203406291969550e+03 3.3133773022332939e+03 3.3051047978446677e+03 3.2953023223102191e+03 3.2837148379698488e+03 3.2700495281990807e+03 3.2539675905808394e+03 3.2350248476283255e+03 3.2124567548242931e+03 3.1853582332719516e+03 3.1533402442258957e+03 3.1161180622142456e+03 3.0731597148442479e+03 3.0238242405970536e+03 2.9674536125504251e+03 2.9034119361559074e+03 2.8311225739961114e+03 2.7501133760677531e+03 2.6600702397984896e+03 2.5608972244277247e+03 2.4527784931496872e+03 2.3362366286238416e+03 2.2121781027655784e+03 2.0819164071575906e+03 1.9471618597400147e+03 1.7997174395146083e+03 1.6523325375835605e+03 1.5080143575950594e+03 1.3696733889285347e+03 1.2398808713168723e+03 1.1206590107728689e+03 1.0133400861188218e+03 9.1851678730796345e+02 8.3608717485154568e+02 7.6537227477626607e+02 7.0528418712346911e+02 6.5451609947906184e+02 6.1170803857163423e+02 5.7553778781893971e+02 5.4482382305441456e+02 5.1857432546857012e+02 4.9597589978275090e+02 4.7638866914366622e+02 4.5931075436641407e+02 4.4436570486924120e+02 4.3124947253815236e+02 4.1973754558820144e+02 4.0963500090287721e+02 4.0080313683733476e+02 3.9310840875531585e+02 3.8643970958688544e+02 3.8070952412925749e+02 3.7582705490936718e+02 3.7170234091997935e+02 3.6826788449001742e+02 3.6544115665445446e+02 3.6315677596937388e+02 3.6134126307716832e+02 3.5992802976602394e+02 3.5882830703098222e+02 3.5795689848213641e+02 3.5724639898209267e+02 3.5663483202941450e+02 3.5606452215472592e+02 3.5566317015115504e+02 3.5525861695353507e+02 3.5484613112784064e+02 3.5441420382794229e+02 3.5396865810147392e+02 3.5349706034054196e+02 3.5301329331432208e+02 3.5247707600057493e+02 3.5190319868964804e+02 3.5128109921976449e+02 3.5060252971506338e+02 3.4985746778726929e+02 3.4903462297544252e+02 3.4811817057133538e+02 3.4710813343777784e+02 3.4596895650764776e+02 3.4469172707278040e+02 3.4325791190868142e+02 3.4164756666516365e+02 3.3984012372242091e+02 3.3781495338817189e+02 3.3554962235186304e+02 3.3304545759361184e+02 3.3026110881000920e+02 3.2720509476262589e+02 3.2388448724625124e+02 3.2032533378068075e+02 3.1657195105746058e+02 3.1270868923509636e+02 3.0886141666280025e+02 3.0523410924570129e+02 3.0208745879593027e+02 2.9982532785729023e+02 2.9901196668513830e+02 3.0046626858239881e+02 3.0538100570470675e+02 3.1556361649821810e+02 3.3387556228228772e+02 3.6513541752918519e+02 2.3366101712118176e+01 +2.6099267155229924e+01 3.2045801372907463e+03 3.2041000499394104e+03 3.2034708154882023e+03 3.2025568824816423e+03 3.2014424014099777e+03 3.2003207284613259e+03 3.1993047693456510e+03 3.1982288653435803e+03 3.1968800514981795e+03 3.1951546782963596e+03 3.1930049315046381e+03 3.1903638702012186e+03 3.1871447549732470e+03 3.1832484807726037e+03 3.1785643390100918e+03 3.1729631114368285e+03 3.1662898155224707e+03 3.1583620497465968e+03 3.1489682707071083e+03 3.1378641402743087e+03 3.1247691455704580e+03 3.1093587474359956e+03 3.0912075036784868e+03 3.0695830994466123e+03 3.0436186002295799e+03 3.0129416795238208e+03 2.9772802179938790e+03 2.9361253900177908e+03 2.8888642005404695e+03 2.8348676449704894e+03 2.7735283335115319e+03 2.7042961198918811e+03 2.6267214755338191e+03 2.5405068090693308e+03 2.4455640062301063e+03 2.3420736420734215e+03 2.2305406155381938e+03 2.1118373651643110e+03 1.9872255770767358e+03 1.8583458997581281e+03 1.7173662275137094e+03 1.5764836837986741e+03 1.4385737620198011e+03 1.3064162744159842e+03 1.1824636628884532e+03 1.0686411298302573e+03 9.6621301005329747e+02 8.7573651016756833e+02 7.9710579089941893e+02 7.2966517711521874e+02 6.7237022409418387e+02 6.2396929036586289e+02 5.8316164015138645e+02 5.4868396195313358e+02 5.1940820437173977e+02 4.9438797884381427e+02 4.7284751516170707e+02 4.5417676260417392e+02 4.3789737467686416e+02 4.2365063120286788e+02 4.1114684047728639e+02 4.0017211352893327e+02 3.9054074501916665e+02 3.8212059811697907e+02 3.7478443249682908e+02 3.6842637956844010e+02 3.6296304536428983e+02 3.5830789915784908e+02 3.5437519662041035e+02 3.5110060113826330e+02 3.4840544333986827e+02 3.4622739118040221e+02 3.4449639143897758e+02 3.4314895525729941e+02 3.4210044467046612e+02 3.4126962914924218e+02 3.4059223602386277e+02 3.4000917111555577e+02 3.3946544496264409e+02 3.3908280260724155e+02 3.3869710873863630e+02 3.3830385223378750e+02 3.3789206064773998e+02 3.3746728551800811e+02 3.3701767340207687e+02 3.3655645713529640e+02 3.3604523734598240e+02 3.3549811318848504e+02 3.3490501488814493e+02 3.3425807906905698e+02 3.3354775056655109e+02 3.3276326525939464e+02 3.3188953670034942e+02 3.3092658399010929e+02 3.2984051333920058e+02 3.2862282592034546e+02 3.2725585249406470e+02 3.2572057848100656e+02 3.2399739508893049e+02 3.2206663434639535e+02 3.1990690927209067e+02 3.1751948239630497e+02 3.1486493472413065e+02 3.1195138634020299e+02 3.0878557937284637e+02 3.0539234706027651e+02 3.0181394013714561e+02 2.9813077651373919e+02 2.9446285726787767e+02 2.9100464693463090e+02 2.8800468767255683e+02 2.8584801324782785e+02 2.8507257005017760e+02 2.8645907512495438e+02 2.9114469596575191e+02 3.0085261174782141e+02 3.1831088835320884e+02 3.4811346376879783e+02 2.2224021168907360e+01 +2.6155896069287220e+01 3.0623483658039868e+03 3.0618870453211853e+03 3.0612854431860583e+03 3.0604114045817523e+03 3.0593451479505379e+03 3.0582712183449594e+03 3.0572975299677933e+03 3.0562658562411252e+03 3.0549726465878239e+03 3.0533186731735077e+03 3.0512580564701925e+03 3.0487266408501332e+03 3.0456413216277274e+03 3.0419071394049547e+03 3.0374180122813382e+03 3.0320501302235521e+03 3.0256550011363238e+03 3.0180578636962141e+03 3.0090560440586855e+03 2.9984154626168101e+03 2.9858674022589066e+03 2.9711009970368750e+03 2.9537087633455335e+03 2.9329892806632488e+03 2.9081121793258494e+03 2.8787211396588978e+03 2.8445561001003011e+03 2.8051303916132229e+03 2.7598577858840640e+03 2.7081370423385256e+03 2.6493880204831285e+03 2.5830858712653294e+03 2.5088026293282242e+03 2.4262563834450270e+03 2.3353663495714145e+03 2.2363094706204797e+03 2.1295734901124893e+03 2.0159980215331598e+03 1.8967949125974239e+03 1.7735378958792385e+03 1.6387437482972841e+03 1.5040808423474343e+03 1.3722986126781711e+03 1.2460519514884818e+03 1.1276798930537286e+03 1.0190152025409119e+03 9.2125765105520452e+02 8.3493095123324008e+02 7.5992594575661428e+02 6.9560958079941111e+02 6.4097921396650133e+02 5.9483611258725432e+02 5.5593625335874185e+02 5.2307265061671535e+02 4.9516834121537966e+02 4.7132031303356121e+02 4.5078870096223091e+02 4.3299190517228897e+02 4.1747401950982731e+02 4.0389322706284412e+02 3.9197352075848977e+02 3.8151113619854942e+02 3.7232915357604213e+02 3.6430169273983927e+02 3.5730752248094484e+02 3.5124576770248444e+02 3.4603696317066516e+02 3.4159864601815559e+02 3.3784909256110672e+02 3.3472698042163796e+02 3.3215732080334902e+02 3.3008069004113185e+02 3.2843030264584434e+02 3.2714562609227255e+02 3.2614596285468298e+02 3.2535386522428189e+02 3.2470804869491303e+02 3.2415216851493750e+02 3.2363379719425387e+02 3.2326899951318529e+02 3.2290129305582570e+02 3.2252637683855096e+02 3.2213379002347830e+02 3.2172882519411718e+02 3.2130018222334962e+02 3.2086047420174174e+02 3.2037309621663303e+02 3.1985148832438711e+02 3.1928605037330141e+02 3.1866928570987278e+02 3.1799208479284431e+02 3.1724418550562552e+02 3.1641120550224929e+02 3.1549316043361398e+02 3.1445774078846841e+02 3.1329684256730866e+02 3.1199362057188603e+02 3.1052994700699753e+02 3.0888712757742297e+02 3.0704641157003300e+02 3.0498740992953975e+02 3.0271132384987612e+02 3.0018057616687162e+02 2.9740290679975431e+02 2.9438474345182885e+02 2.9114976122029299e+02 2.8773824039694733e+02 2.8422684844549588e+02 2.8072999041083239e+02 2.7743305932203577e+02 2.7457300923063701e+02 2.7251691571578573e+02 2.7177763739234206e+02 2.7309948010897659e+02 2.7756657747121903e+02 2.8682174495386352e+02 3.0346582027387814e+02 3.3187849078035879e+02 2.1137464321464826e+01 +2.6212524983344515e+01 2.9263554762978461e+03 2.9259121478208758e+03 2.9253369527773607e+03 2.9245011145162725e+03 2.9234810149460582e+03 2.9224528335970472e+03 2.9215196910132599e+03 2.9205304652180089e+03 2.9192906122894242e+03 2.9177051404782678e+03 2.9157300269493762e+03 2.9133037886851930e+03 2.9103468056316860e+03 2.9067680935482463e+03 2.9024660075090460e+03 2.8973219232062334e+03 2.8911935718694231e+03 2.8839135179510413e+03 2.8752875917673446e+03 2.8650915490190291e+03 2.8530679809267535e+03 2.8389191286227251e+03 2.8222547219384433e+03 2.8024029535643126e+03 2.7785685032084702e+03 2.7504103817915416e+03 2.7176800605354169e+03 2.6799120783359967e+03 2.6365458243812209e+03 2.5870066172694324e+03 2.5307403645819481e+03 2.4672463732395217e+03 2.3961172311847390e+03 2.3170859165507254e+03 2.2300785071501973e+03 2.1352682803310240e+03 2.0331263405642967e+03 1.9244606451739148e+03 1.8104350995472660e+03 1.6925591691712532e+03 1.5636831746264579e+03 1.4349692726150740e+03 1.3090462538776617e+03 1.1884495996118696e+03 1.0754100871320736e+03 9.7167240022833039e+02 8.7837496252286337e+02 7.9600987584228290e+02 7.2446520160180887e+02 6.6312984191408964e+02 6.1104136221354031e+02 5.6705176574269512e+02 5.2997132142915541e+02 4.9864690079674449e+02 4.7205034892353319e+02 4.4932006776275693e+02 4.2975045488368221e+02 4.1278704872968353e+02 3.9799534126094102e+02 3.8504962985795703e+02 3.7368695141365168e+02 3.6371319100161435e+02 3.5495980217878451e+02 3.4730686766360969e+02 3.4063888386758060e+02 3.3485973555168039e+02 3.2989370262592172e+02 3.2566220038156359e+02 3.2208733877491790e+02 3.1911066960071571e+02 3.1666071384358719e+02 3.1468082166088305e+02 3.1310732414225919e+02 3.1188250861327623e+02 3.1092943609414993e+02 3.1017426702623902e+02 3.0955856734323220e+02 3.0902861489418365e+02 3.0853442579858716e+02 3.0818664743743534e+02 3.0783609641249404e+02 3.0747867217248233e+02 3.0710440182904830e+02 3.0671833099184761e+02 3.0630968722932283e+02 3.0589049268793752e+02 3.0542585372661932e+02 3.0492858186900179e+02 3.0438952486425597e+02 3.0380153581978948e+02 3.0315593020589637e+02 3.0244292469069427e+02 3.0164880843519700e+02 3.0077359393274941e+02 2.9978648248591912e+02 2.9867974674073611e+02 2.9743732742471883e+02 2.9604194250854090e+02 2.9447576989545524e+02 2.9272093370446305e+02 2.9075799662062951e+02 2.8858810146684340e+02 2.8617542753903967e+02 2.8352735225158563e+02 2.8065000342541487e+02 2.7756595158489853e+02 2.7431359771994011e+02 2.7096603232084442e+02 2.6763232321376154e+02 2.6448921163182337e+02 2.6176259935378590e+02 2.5980243447850648e+02 2.5909764823281841e+02 2.6035781947749558e+02 2.6461650094751616e+02 2.7343986154609610e+02 2.8930739559895864e+02 3.1639444992091825e+02 2.0103747724817399e+01 +2.6269153897401811e+01 2.7963314471553199e+03 2.7959053472186247e+03 2.7953554692806797e+03 2.7945561672964104e+03 2.7935802421446533e+03 2.7925958835518354e+03 2.7917016292538501e+03 2.7907531402856730e+03 2.7895644846369823e+03 2.7880447313369077e+03 2.7861516384664683e+03 2.7838262873813778e+03 2.7809923986878125e+03 2.7775627996842422e+03 2.7734401003245657e+03 2.7685106485206861e+03 2.7626381424426959e+03 2.7556621706104929e+03 2.7473967168278655e+03 2.7376269660060352e+03 2.7261063499981797e+03 2.7125496738417783e+03 2.6965831659700639e+03 2.6775634032215175e+03 2.6547286607565106e+03 2.6277526318366781e+03 2.5963978178943162e+03 2.5602190569347954e+03 2.5186802547877514e+03 2.4712321356807738e+03 2.4173455059299049e+03 2.3565427375954378e+03 2.2884360081619157e+03 2.2127724327272322e+03 2.1294845090397080e+03 2.0387418252335817e+03 1.9409993511955388e+03 1.8370345186704697e+03 1.7279651182045068e+03 1.6152388960811111e+03 1.4920250418296864e+03 1.3690010900213233e+03 1.2486803753138463e+03 1.1334842392803876e+03 1.0255401237952722e+03 9.2650878605391858e+02 8.3747036210910687e+02 7.5888712536556636e+02 6.9064485065728468e+02 6.3215374314536950e+02 5.8249003820192081e+02 5.4055438801585854e+02 5.0520903406960167e+02 4.7535234241408887e+02 4.5000278632752912e+02 4.2833830690126337e+02 4.0968599607844527e+02 3.9351727776731224e+02 3.7941804766690018e+02 3.6707796490572633e+02 3.5624649936830230e+02 3.4673873257085148e+02 3.3839409842125394e+02 3.3109836236771503e+02 3.2474148001122398e+02 3.1923187316864011e+02 3.1449739180432215e+02 3.1046314843398699e+02 3.0705490826858158e+02 3.0421696366077282e+02 3.0188118243627702e+02 2.9999356018156220e+02 2.9849340034123446e+02 2.9732567984731924e+02 2.9641704469064075e+02 2.9569709677908708e+02 2.9511012104935111e+02 2.9460489692039374e+02 2.9413377117359204e+02 2.9380222460202037e+02 2.9346803515855970e+02 2.9312729346305014e+02 2.9277049200172343e+02 2.9240244084224196e+02 2.9201287080442683e+02 2.9161324056410751e+02 2.9117028838522901e+02 2.9069622642060591e+02 2.9018232959403804e+02 2.8962178458867464e+02 2.8900631221801171e+02 2.8832658578099318e+02 2.8756953484663558e+02 2.8673516902103069e+02 2.8579413033438499e+02 2.8473905072379603e+02 2.8355462047324613e+02 2.8222436418356665e+02 2.8073129159499837e+02 2.7905836117467499e+02 2.7718704328470329e+02 2.7511842519608030e+02 2.7281836121801211e+02 2.7029388310607402e+02 2.6755083267551998e+02 2.6461072699120672e+02 2.6151017470510232e+02 2.5831885485618039e+02 2.5514074500760154e+02 2.5214433506565936e+02 2.4954498582021651e+02 2.4767631052394646e+02 2.4700442022406921e+02 2.4820577381353169e+02 2.5226568375491141e+02 2.6067721915671700e+02 2.7580414603457410e+02 3.0162692659358959e+02 1.9120316776716450e+01 +2.6325782811459106e+01 2.6720177068262665e+03 2.6716082014199251e+03 2.6710824844073472e+03 2.6703181720937250e+03 2.6693845548667618e+03 2.6684421724158151e+03 2.6675852124550656e+03 2.6666758174158213e+03 2.6655362846377502e+03 2.6640795773094374e+03 2.6622651613747234e+03 2.6600365785252820e+03 2.6573207519207544e+03 2.6540341633906951e+03 2.6500835030072876e+03 2.6453598860123238e+03 2.6397327314497602e+03 2.6330483623768519e+03 2.6251285796025659e+03 2.6157676075621184e+03 2.6047292699946843e+03 2.5917404147305660e+03 2.5764430830746946e+03 2.5582210569555086e+03 2.5363448121474553e+03 2.5105021028801734e+03 2.4804659796776814e+03 2.4458107090343610e+03 2.4060236589737233e+03 2.3605798549315036e+03 2.3089739023478433e+03 2.2507501958383850e+03 2.1855395827474681e+03 2.1131025993485214e+03 2.0333777464642706e+03 1.9465309083733421e+03 1.8530014129960837e+03 1.7535372598465483e+03 1.6492118858294011e+03 1.5414137686320701e+03 1.4236169280026606e+03 1.3060349669469545e+03 1.1910707340740937e+03 1.0810364750522313e+03 9.7796099862768074e+02 8.8342509819173210e+02 7.9845353322915423e+02 7.2348043551885996e+02 6.5838974858974825e+02 6.0261234052029147e+02 5.5526163355098083e+02 5.1528492455038986e+02 4.8159420441168317e+02 4.5313707260044600e+02 4.2897654627980586e+02 4.0832831435258902e+02 3.9055066565473714e+02 3.7513971387550413e+02 3.6170080976225461e+02 3.4993825641669662e+02 3.3961337406642912e+02 3.3055000870616141e+02 3.2259519985398867e+02 3.1564012858645572e+02 3.0957995372996425e+02 3.0432742169125527e+02 2.9981378551004053e+02 2.9596768235968517e+02 2.9271836254515301e+02 2.9001273151654505e+02 2.8778584849697364e+02 2.8598623199706526e+02 2.8455602020115350e+02 2.8344275536424163e+02 2.8257650281140292e+02 2.8189014686153484e+02 2.8133056601949124e+02 2.8084892577455628e+02 2.8039979579552551e+02 2.8008372959072466e+02 2.7976514427780137e+02 2.7944031280759782e+02 2.7910017150319476e+02 2.7874930579576085e+02 2.7837792643591200e+02 2.7799695483508043e+02 2.7757468544494463e+02 2.7712275886772068e+02 2.7663285742547873e+02 2.7609848593406156e+02 2.7551175178635498e+02 2.7486376377085566e+02 2.7414206219273012e+02 2.7334665402451469e+02 2.7244955515885283e+02 2.7144374026166832e+02 2.7031461447296209e+02 2.6904647168041788e+02 2.6762311495042547e+02 2.6602829847409686e+02 2.6424435824388132e+02 2.6227232866624746e+02 2.6007966135805327e+02 2.5767305848688926e+02 2.5505808910294374e+02 2.5225526558078215e+02 2.4929948721070727e+02 2.4625717951407245e+02 2.4322746542324219e+02 2.4037096561877863e+02 2.3789298775119144e+02 2.3611156651337632e+02 2.3547104921435110e+02 2.3661630811239132e+02 2.4048664867553899e+02 2.4850542436808544e+02 2.6292603051606216e+02 2.8754306705765742e+02 1.8184739576510179e+01 +2.6382411725516402e+01 2.5531668683073603e+03 2.5527732518672569e+03 2.5522706771946050e+03 2.5515398160394611e+03 2.5506466691132036e+03 2.5497445143132904e+03 2.5489233188401267e+03 2.5480514395027440e+03 2.5469590375208631e+03 2.5455628098025991e+03 2.5438238604888561e+03 2.5416880915043894e+03 2.5390854960859942e+03 2.5359360599724519e+03 2.5321503855781671e+03 2.5276241588907451e+03 2.5222322836633102e+03 2.5158275396954668e+03 2.5082392218954537e+03 2.4992702203381973e+03 2.4886943200971732e+03 2.4762499118775349e+03 2.4615941920495475e+03 2.4441370166031711e+03 2.4231797238445711e+03 2.3984235333628862e+03 2.3696515842428407e+03 2.3364567374729818e+03 2.2983488132974439e+03 2.2548260810488482e+03 2.2054058933032384e+03 2.1496536707810524e+03 2.0872180531448048e+03 2.0178723169399955e+03 1.9415605729465528e+03 1.8584449952253212e+03 1.7689497505812112e+03 1.6737944634665030e+03 1.5740099143088873e+03 1.4709276690473193e+03 1.3583131478289222e+03 1.2459358464506079e+03 1.1360928886106979e+03 1.0309922496844665e+03 9.3256859794967158e+02 8.4232654244800131e+02 7.6123823525302817e+02 6.8971126264154668e+02 6.2762815524197924e+02 5.7443981689830434e+02 5.2929542674142454e+02 4.9118700163848729e+02 4.5907415140016383e+02 4.3195154508535967e+02 4.0892475102012099e+02 3.8924549454125599e+02 3.7230183157080398e+02 3.5761342445187415e+02 3.4480417390388448e+02 3.3359234240661209e+02 3.2375054491583262e+02 3.1511098003070282e+02 3.0752793557292392e+02 3.0089775358564583e+02 2.9512055205015065e+02 2.9011319935561033e+02 2.8581019238045133e+02 2.8214352837068986e+02 2.7904578041486110e+02 2.7646634547459797e+02 2.7434332588053502e+02 2.7262764618149777e+02 2.7126414800122257e+02 2.7020282032062295e+02 2.6937698974330101e+02 2.6872267122676880e+02 2.6818921713986089e+02 2.6773006882396891e+02 2.6730191599950501e+02 2.6700061320859641e+02 2.6669690932171721e+02 2.6638725118792041e+02 2.6606299841493927e+02 2.6572852220426279e+02 2.6537449098644271e+02 2.6501131390695753e+02 2.6460876937012677e+02 2.6417795296723909e+02 2.6371093555001528e+02 2.6320152533331014e+02 2.6264219838346179e+02 2.6202447880944021e+02 2.6133648934374838e+02 2.6057823455936125e+02 2.5972304042348458e+02 2.5876420852403328e+02 2.5768782574867959e+02 2.5647891964095146e+02 2.5512204985210178e+02 2.5360172944033025e+02 2.5190111991602836e+02 2.5002120537686520e+02 2.4793096061590524e+02 2.4563677354236015e+02 2.4314395307409416e+02 2.4047205342828983e+02 2.3765434370313147e+02 2.3475414658966162e+02 2.3186595521525413e+02 2.2914288560047109e+02 2.2678065773391225e+02 2.2508244933679296e+02 2.2447185195970718e+02 2.2556361421517275e+02 2.2925316540461378e+02 2.3689737225265179e+02 2.5064437123845954e+02 2.7411150847254981e+02 1.7294701074323996e+01 +2.6439040639573697e+01 2.4395419556628840e+03 2.4391636012056247e+03 2.4386831525136804e+03 2.4379842838761665e+03 2.4371298959609189e+03 2.4362662737579340e+03 2.4354793759882027e+03 2.4346434953123044e+03 2.4335963116697189e+03 2.4322580992018502e+03 2.4305915344210757e+03 2.4285447830771745e+03 2.4260507814586463e+03 2.4230328747006811e+03 2.4194054165023745e+03 2.4150684749712982e+03 2.4099022119568854e+03 2.4037655974220629e+03 2.3964951105694272e+03 2.3879019483631432e+03 2.3777694441544322e+03 2.3658470519327489e+03 2.3518064921868872e+03 2.3350826100217878e+03 2.3150063226979451e+03 2.2912917442901562e+03 2.2637316616226158e+03 2.2319367313114712e+03 2.1954382585080812e+03 2.1537567442451063e+03 2.1064312818516455e+03 2.0530473658773244e+03 1.9932705909974502e+03 1.9268863263607723e+03 1.8538439220982682e+03 1.7743018432997969e+03 1.6886695648019086e+03 1.5976393580516637e+03 1.5022009822797988e+03 1.4036313581932657e+03 1.2959744594731653e+03 1.1885746682799968e+03 1.0836279441629715e+03 9.8324260892014354e+02 8.8926348247262763e+02 8.0312259393361728e+02 7.2574212201403509e+02 6.5750461761093027e+02 5.9829158237804609e+02 5.4757334192655094e+02 5.0453345370114567e+02 4.6820680646897790e+02 4.3759858737848424e+02 4.1174846447359960e+02 3.8980265216915313e+02 3.7104727730076496e+02 3.5489879773461831e+02 3.4089933544518578e+02 3.2869047768142474e+02 3.1800379337162173e+02 3.0862266237603620e+02 3.0038724319389326e+02 2.9315873127553283e+02 2.8683838683192596e+02 2.8133105427577829e+02 2.7655753078173564e+02 2.7245540521181397e+02 2.6895987791781278e+02 2.6600668995412133e+02 2.6354761381381098e+02 2.6152365347328498e+02 2.5988802799892926e+02 2.5858815717813087e+02 2.5757636355229022e+02 2.5678908418611434e+02 2.5616531985394886e+02 2.5565678255742472e+02 2.5521908431570967e+02 2.5481093677705371e+02 2.5452371335163002e+02 2.5423420135661556e+02 2.5393901349105923e+02 2.5362991304005729e+02 2.5331106690271932e+02 2.5297357996238679e+02 2.5262737294352431e+02 2.5224363929090836e+02 2.5183295490372876e+02 2.5138776116106737e+02 2.5090215561761320e+02 2.5036896593109000e+02 2.4978011228690124e+02 2.4912427283572518e+02 2.4840144996959191e+02 2.4758621887664322e+02 2.4667219298352995e+02 2.4564610933588028e+02 2.4449369513891563e+02 2.4320023157094070e+02 2.4175095539511588e+02 2.4012981536738945e+02 2.3833774771062664e+02 2.3634517967236343e+02 2.3415819952627095e+02 2.3178186811119679e+02 2.2923482588314940e+02 2.2654878728460000e+02 2.2378411594879378e+02 2.2103088970372536e+02 2.1843506773938367e+02 2.1618322650233966e+02 2.1456437520945337e+02 2.1398231136881361e+02 2.1502305578769023e+02 2.1854019463001222e+02 2.2582718858752787e+02 2.3893179251826754e+02 2.6130231203332971e+02 1.6447997496952869e+01 +2.6495669553630993e+01 2.3309161861356361e+03 2.3305524664837744e+03 2.3300931742139610e+03 2.3294249312712041e+03 2.3286076427466492e+03 2.3277809220107115e+03 2.3270269184169510e+03 2.3262255776093325e+03 2.3252217764338770e+03 2.3239392128661398e+03 2.3223420737851879e+03 2.3203806958438909e+03 2.3179908365915130e+03 2.3150990619446175e+03 2.3116233222498377e+03 2.3074678867723082e+03 2.3025179580016761e+03 2.2966384402993608e+03 2.2896726998879471e+03 2.2814398964448164e+03 2.2717325153197162e+03 2.2603106137467421e+03 2.2468598311288010e+03 2.2308389610196846e+03 2.2116072683964917e+03 2.1888912146643820e+03 2.1624928124584239e+03 2.1320397488255430e+03 2.0970838874083897e+03 2.0571669919959058e+03 2.0118489339479065e+03 1.9607343716142134e+03 1.9035050558328498e+03 1.8399578323633468e+03 1.7700469413920232e+03 1.6939271472574253e+03 1.6119936903826465e+03 1.5249124771648626e+03 1.4336338211428210e+03 1.3393821772700098e+03 1.2364677839850576e+03 1.1338281066247359e+03 1.0335623091628886e+03 9.3768347645091558e+02 8.4795068036826126e+02 7.6572680740293697e+02 6.9188656827047339e+02 6.2678890705552169e+02 5.7031464813518551e+02 5.2195293817784352e+02 4.8092038411152208e+02 4.4629297219222588e+02 4.1711951065124276e+02 3.9248268520021838e+02 3.7156753514324481e+02 3.5369302696692233e+02 3.3830271712552815e+02 3.2496014795868945e+02 3.1332376954702141e+02 3.0313783455876006e+02 2.9419598254051022e+02 2.8634595747461879e+02 2.7945553762804309e+02 2.7343066990296762e+02 2.6818070324270161e+02 2.6363017938373406e+02 2.5971963436489079e+02 2.5638732194491229e+02 2.5357200347444427e+02 2.5122771634857196e+02 2.4929823124596155e+02 2.4773895535038204e+02 2.4649976708895846e+02 2.4553521458388028e+02 2.4478470145168717e+02 2.4419007610028265e+02 2.4370530115693975e+02 2.4328805895869263e+02 2.4289898945831814e+02 2.4262519276026293e+02 2.4234921478520928e+02 2.4206782640459332e+02 2.4177317587212016e+02 2.4146923525789870e+02 2.4114752564471129e+02 2.4081750208141978e+02 2.4045170731334412e+02 2.4006022170039819e+02 2.3963583997236702e+02 2.3917293561178550e+02 2.3866467156926933e+02 2.3810334574584505e+02 2.3747816594354072e+02 2.3678913257527586e+02 2.3601201200042141e+02 2.3514071508899289e+02 2.3416259890594085e+02 2.3306405788444181e+02 2.3183106128246834e+02 2.3044953602045055e+02 2.2890418158630843e+02 2.2719588864488520e+02 2.2529646943137047e+02 2.2321172653179877e+02 2.2094648420581217e+02 2.1851851150709126e+02 2.1595804028879701e+02 2.1332261229666574e+02 2.1069809471724642e+02 2.0822362176142397e+02 2.0607705006693385e+02 2.0453387719610413e+02 2.0397902416965542e+02 2.0497111573232428e+02 2.0832383458335536e+02 2.1527017462451079e+02 2.2776216235842639e+02 2.4908689906528360e+02 1.5642531037499865e+01 +2.6552298467688288e+01 2.2270724253336543e+03 2.2267227773928039e+03 2.2262837120237518e+03 2.2256447845826738e+03 2.2248629880460353e+03 2.2240716214145637e+03 2.2233491621236194e+03 2.2225809593901004e+03 2.2216187781143299e+03 2.2203895913009906e+03 2.2188590375673502e+03 2.2169795348204179e+03 2.2146895451966830e+03 2.2119187223901540e+03 2.2085884649330519e+03 2.2046070696534434e+03 2.1998645710360602e+03 2.1942315624174389e+03 2.1875580118517319e+03 2.1796707115192494e+03 2.1703709186130964e+03 2.1594288523302976e+03 2.1465434905230682e+03 2.1311965770294087e+03 2.1127745435476440e+03 2.0910156744326919e+03 2.0657308042944978e+03 2.0365639177100629e+03 2.0030865495864737e+03 1.9648607989697116e+03 1.9214663943495800e+03 1.8725262882570723e+03 1.8177376255771314e+03 1.7569081428593238e+03 1.6899966412533809e+03 1.6171541989247771e+03 1.5387622679703950e+03 1.4554613445819543e+03 1.3681638143832251e+03 1.2780437621993678e+03 1.1796659367130410e+03 1.0815783191419464e+03 9.8578746215510569e+02 8.9421543864635157e+02 8.0853948934743812e+02 7.3005663588109121e+02 6.5959650378189031e+02 5.9749578155730967e+02 5.4363493789692711e+02 4.9752135319750550e+02 4.5840340318234877e+02 4.2539646807106203e+02 3.9759110279846124e+02 3.7411111495997795e+02 3.5417862780435479e+02 3.3714395549836479e+02 3.2247650875950114e+02 3.0976025854481236e+02 2.9866973200502684e+02 2.8896127167665782e+02 2.8043829505363806e+02 2.7295577462856255e+02 2.6638776180803978e+02 2.6064466950209868e+02 2.5564013961207476e+02 2.5130228277497028e+02 2.4757444412126469e+02 2.4439778805254613e+02 2.4171395536956194e+02 2.3947914284608197e+02 2.3763975913784813e+02 2.3615329803655737e+02 2.3497198257503743e+02 2.3405248342518212e+02 2.3333703344423327e+02 2.3277019682566089e+02 2.3230808280324254e+02 2.3191034826926386e+02 2.3153947215330140e+02 2.3127847952616668e+02 2.3101540792305539e+02 2.3074717906128225e+02 2.3046630831398775e+02 2.3017658195967519e+02 2.2986991796042878e+02 2.2955532738252845e+02 2.2920663956091317e+02 2.2883346235570747e+02 2.2842892746034335e+02 2.2798767148880154e+02 2.2750317713524464e+02 2.2696810249901455e+02 2.2637216045113681e+02 2.2571534961371813e+02 2.2497457214068601e+02 2.2414402260854547e+02 2.2321164934787595e+02 2.2216448307616949e+02 2.2098914922099718e+02 2.1967223285243432e+02 2.1819914935546149e+02 2.1657074604267498e+02 2.1476015577609121e+02 2.1277290875931365e+02 2.1061360364372916e+02 2.0829917849240255e+02 2.0585845132661180e+02 2.0334627287211273e+02 2.0084449492990976e+02 1.9848574333381626e+02 1.9643955918461364e+02 1.9496855505938794e+02 1.9443965089496430e+02 1.9538534592967096e+02 1.9858126995992995e+02 2.0520275430566147e+02 2.1711053660075564e+02 2.3743798994791641e+02 1.4876304796396006e+01 +2.6608927381745584e+01 2.1278028786825216e+03 2.1274667265864618e+03 2.1270470504505288e+03 2.1264361313965205e+03 2.1256883171546806e+03 2.1249308120778514e+03 2.1242385972303409e+03 2.1235021872742459e+03 2.1225799333727973e+03 2.1214019417459494e+03 2.1199352468812940e+03 2.1181342614475834e+03 2.1159400404141002e+03 2.1132851976469883e+03 2.1100944373328280e+03 2.1062799173245739e+03 2.1017363039334186e+03 2.0963396440047054e+03 2.0899462338004723e+03 2.0823901812261884e+03 2.0734811506572610e+03 2.0629990999634010e+03 2.0506557887422086e+03 2.0359549537481157e+03 2.0183090606598314e+03 1.9974677142350679e+03 1.9732501845677295e+03 1.9453160518093416e+03 1.9132556724984145e+03 1.8766505931343845e+03 1.8350995184776843e+03 1.7882428642850384e+03 1.7357924424555847e+03 1.6775663232627446e+03 1.6135275588433699e+03 1.5438235615883284e+03 1.4688224299972662e+03 1.3891401727736277e+03 1.3056527096564632e+03 1.2194857701884669e+03 1.1254473702017226e+03 1.0317127067731781e+03 9.4019972877922942e+02 8.5274353862005535e+02 7.7094328736547197e+02 6.9603325722926240e+02 6.2880025467120288e+02 5.6955999053558912e+02 5.1819287130585053e+02 4.7422393721272965e+02 4.3693209866078547e+02 4.0547049450019739e+02 3.7896963054174705e+02 3.5659262241585702e+02 3.3759701315550450e+02 3.2136303944374191e+02 3.0738477833536376e+02 2.9526568302924420e+02 2.8469560819918411e+02 2.7544241989660310e+02 2.6731885422243903e+02 2.6018677184671282e+02 2.5392620207404482e+02 2.4845181343876675e+02 2.4368133907610707e+02 2.3954629103214864e+02 2.3599269185639048e+02 2.3296448044625780e+02 2.3040604271655585e+02 2.2827563416922484e+02 2.2652217864944620e+02 2.2510515971176596e+02 2.2397903620178698e+02 2.2310250303726230e+02 2.2242049130009786e+02 2.2188015517085515e+02 2.2143965123341445e+02 2.2106051956058994e+02 2.2070699283140493e+02 2.2045821023810819e+02 2.2020744620761045e+02 2.1995176631389162e+02 2.1968403602097536e+02 2.1940786443713452e+02 2.1911554797180690e+02 2.1881567440144164e+02 2.1848329982763417e+02 2.1812758158867288e+02 2.1774197270815580e+02 2.1732136072274054e+02 2.1685953323534241e+02 2.1634949183254284e+02 2.1578143100200776e+02 2.1515534774986537e+02 2.1444922720007483e+02 2.1365753452803199e+02 2.1276878189662608e+02 2.1177060678758232e+02 2.1065026035313744e+02 2.0939495527775736e+02 2.0799078961119909e+02 2.0643856941187019e+02 2.0471268677476678e+02 2.0281841220987579e+02 2.0076012922819029e+02 1.9855398345630110e+02 1.9622744467976082e+02 1.9383279745748243e+02 1.9144806448717537e+02 1.8919966527012386e+02 1.8724921106607061e+02 1.8584702733046157e+02 1.8534286808121581e+02 1.8624431920640052e+02 1.8929072310060317e+02 1.9560242381794106e+02 2.0695310555404944e+02 2.2632954574408598e+02 1.4147417962010104e+01 +2.6665556295802880e+01 2.0329086486574047e+03 2.0325854455876752e+03 2.0321842778106632e+03 2.0316001642707267e+03 2.0308848868544308e+03 2.0301598142677763e+03 2.0294965992204970e+03 2.0287906913734078e+03 2.0279067393977830e+03 2.0267778485077533e+03 2.0253723954570930e+03 2.0236467042935744e+03 2.0215443157950674e+03 2.0190006815386168e+03 2.0159436745689407e+03 2.0122891539998416e+03 2.0079362259333031e+03 2.0027661648096587e+03 1.9966413326009165e+03 1.9894028490545015e+03 1.9808684359131244e+03 1.9708273837545464e+03 1.9590036999870094e+03 1.9449221961115472e+03 1.9280202853538387e+03 1.9080584112843655e+03 1.8848639095955928e+03 1.8581112837400069e+03 1.8274088982685948e+03 1.7923568973807874e+03 1.7525721195810772e+03 1.7077116498838702e+03 1.6575012736730610e+03 1.6017688652781103e+03 1.5404814359470658e+03 1.4737827579832101e+03 1.4020279997982816e+03 1.3258095741536354e+03 1.2459683431006611e+03 1.1635836179377523e+03 1.0736959281088327e+03 9.8412368389301218e+02 8.9670006839849736e+02 8.1317707924122510e+02 7.3507935158347289e+02 6.6358140830186267e+02 5.9942939175528863e+02 5.4291924352945193e+02 4.9393157514948052e+02 4.5200852624780617e+02 4.1645835284419030e+02 3.8647038267236786e+02 3.6121335196164887e+02 3.3988794899864371e+02 3.2178554590969992e+02 3.0631494059299774e+02 2.9299374239713501e+02 2.8144398371434136e+02 2.7137013175916985e+02 2.6255103600246173e+02 2.5480831318065978e+02 2.4801038768291832e+02 2.4204298523924714e+02 2.3682482944716037e+02 2.3227755234813336e+02 2.2833590769793938e+02 2.2494846991022467e+02 2.2206182254575700e+02 2.1962296850977683e+02 2.1759212603128790e+02 2.1592061702272298e+02 2.1456982240953559e+02 2.1349633306118659e+02 2.1266077434703610e+02 2.1201065057012877e+02 2.1149558587348184e+02 2.1107568948007736e+02 2.1071429745937496e+02 2.1037731492647202e+02 2.1014017564594184e+02 2.0990114792502342e+02 2.0965743452579841e+02 2.0940223475674370e+02 2.0913898878144883e+02 2.0886035387343202e+02 2.0857451425517749e+02 2.0825769573007744e+02 2.0791862607874214e+02 2.0755106474028727e+02 2.0715013852704499e+02 2.0670992579817377e+02 2.0622375568407369e+02 2.0568228191670917e+02 2.0508550004843494e+02 2.0441242778452684e+02 2.0365778839127316e+02 2.0281063169299981e+02 2.0185917377138111e+02 2.0079126246018319e+02 1.9959470892663364e+02 1.9825626218131603e+02 1.9677668902720595e+02 1.9513158222589684e+02 1.9332596469824020e+02 1.9136401480001956e+02 1.8926112250335089e+02 1.8704347193787623e+02 1.8476090060675261e+02 1.8248777982103439e+02 1.8034461089960243e+02 1.7848544322744053e+02 1.7714888550383608e+02 1.7666832258924109e+02 1.7752758343180861e+02 1.8043140733848756e+02 1.8644770338401261e+02 1.9726714298640269e+02 2.1573671241920900e+02 1.3454061219604739e+01 +2.6722185209860175e+01 1.9421993298662287e+03 1.9418885384754528e+03 1.9415050870751734e+03 1.9409466277293270e+03 1.9402624734041087e+03 1.9395684644284640e+03 1.9389330556238679e+03 1.9382564111869713e+03 1.9374092001483484e+03 1.9363273993483683e+03 1.9349806761706320e+03 1.9333271858035303e+03 1.9313128522912950e+03 1.9288758474191811e+03 1.9259470817970071e+03 1.9224459625316645e+03 1.9182758513113745e+03 1.9133230334192938e+03 1.9074556847276790e+03 1.9005216453089463e+03 1.8923463587613189e+03 1.8827280589741547e+03 1.8714024891363501e+03 1.8579146549257430e+03 1.8417258751569791e+03 1.8226069707156696e+03 1.8003929889252702e+03 1.7747727127162859e+03 1.7453717355539716e+03 1.7118079860354278e+03 1.6737156305854476e+03 1.6307676648823881e+03 1.5827031862725667e+03 1.5293593695642458e+03 1.4707069103748702e+03 1.4068859714084072e+03 1.3382392034242853e+03 1.2653362845521190e+03 1.1889843753751895e+03 1.1102182310454580e+03 1.0243006096744969e+03 9.3870845836523472e+02 8.5519386996299795e+02 7.7542943471165393e+02 7.0086868523531746e+02 6.3262922637823965e+02 5.7141858555153431e+02 5.1751407759507094e+02 4.7079676186618451e+02 4.3082533041759496e+02 3.9693623937968079e+02 3.6835349870241708e+02 3.4428242687497669e+02 3.2395962462168285e+02 3.0670877275756266e+02 2.9196593014708861e+02 2.7927115586245446e+02 2.6826419980996747e+02 2.5866345975514088e+02 2.5025825354727033e+02 2.4287866097387050e+02 2.3639936082375607e+02 2.3071150691626181e+02 2.2573768671807130e+02 2.2140324781249066e+02 2.1764603339876663e+02 2.1441705003730598e+02 2.1166540214215797e+02 2.0934058741397536e+02 2.0740469524516431e+02 2.0581133389880384e+02 2.0452369353178926e+02 2.0350039802260417e+02 2.0270391370414319e+02 2.0208419883522961e+02 2.0159323300827907e+02 2.0119298771662372e+02 2.0084851183981175e+02 2.0052730535283254e+02 2.0030126873667473e+02 2.0007343234511734e+02 1.9984112976517559e+02 1.9959787865188821e+02 1.9934695807015962e+02 1.9908136938438827e+02 1.9880891208634756e+02 1.9850692724854909e+02 1.9818373309054624e+02 1.9783338123817353e+02 1.9745122666923314e+02 1.9703162499722987e+02 1.9656821768623897e+02 1.9605209637122556e+02 1.9548325529960579e+02 1.9484169669532128e+02 1.9412238997905476e+02 1.9331489767048171e+02 1.9240798758290657e+02 1.9139007652435387e+02 1.9024954635354666e+02 1.8897376679789593e+02 1.8756346730636349e+02 1.8599538544263928e+02 1.8427430808274443e+02 1.8240421795328214e+02 1.8039978446161177e+02 1.7828596578137777e+02 1.7611026599165211e+02 1.7394357455770319e+02 1.7190074950535816e+02 1.7012862938574918e+02 1.6885465026551938e+02 1.6839658795020910e+02 1.6921561765364919e+02 1.7198348241538446e+02 1.7771809119295651e+02 1.8803095738214378e+02 2.0563576753226059e+02 1.2794512377916485e+01 +2.6778814123917471e+01 1.8554926739839552e+03 1.8551938221994471e+03 1.8548272987087751e+03 1.8542933888202867e+03 1.8536390171561447e+03 1.8529747571126327e+03 1.8523660072228483e+03 1.8517174370699888e+03 1.8509054680318054e+03 1.8498688272775066e+03 1.8485784229740327e+03 1.8469941644293358e+03 1.8450642606470433e+03 1.8427294908540537e+03 1.8399236772470072e+03 1.8365696278971568e+03 1.8325747833872940e+03 1.8278302318937522e+03 1.8222097216287332e+03 1.8155675333749225e+03 1.8077365107594630e+03 1.7985234575444167e+03 1.7876753616687515e+03 1.7747565785180484e+03 1.7592513332332421e+03 1.7409403817993393e+03 1.7196661444363524e+03 1.6951310669970676e+03 1.6669772258686583e+03 1.6348395556560592e+03 1.5983687800214902e+03 1.5572530805437466e+03 1.5112442355784012e+03 1.4601882416853184e+03 1.4040592203280601e+03 1.3429937594428413e+03 1.2773223936445333e+03 1.2075928984210491e+03 1.1345800389273006e+03 1.0592758041045422e+03 9.7715534429731986e+02 8.9536882107941778e+02 8.1559075671465973e+02 7.3941787033852927e+02 6.6823585206197049e+02 6.0310809754657112e+02 5.4470546765990878e+02 4.9328773056059566e+02 4.4873661342558177e+02 4.1062682716849179e+02 3.7832192464183504e+02 3.5107915200048404e+02 3.2813883119256468e+02 3.0877188713922737e+02 2.9233285617996103e+02 2.7828381625613758e+02 2.6618624276635785e+02 2.5569678095322053e+02 2.4654710862959681e+02 2.3853652088989594e+02 2.3150316243547530e+02 2.2532767157749294e+02 2.1990637441542651e+02 2.1516554002674732e+02 2.1103405672162862e+02 2.0745271196725548e+02 2.0437483032153224e+02 2.0175191898870662e+02 1.9953585392515015e+02 1.9769050835837814e+02 1.9617167034471169e+02 1.9494425519072067e+02 1.9396882532549557e+02 1.9320960266835093e+02 1.9261888564686154e+02 1.9215090005056791e+02 1.9176939341749176e+02 1.9144104806967110e+02 1.9113488483127711e+02 1.9091943511664707e+02 1.9070227015922683e+02 1.9048084830156623e+02 1.9024899075911935e+02 1.9000982298424611e+02 1.8975667443136456e+02 1.8949697781425309e+02 1.8920913755259662e+02 1.8890108137969108e+02 1.8856713953396542e+02 1.8820288455886913e+02 1.8780293644242673e+02 1.8736123447302126e+02 1.8686928782941533e+02 1.8632708959351342e+02 1.8571558066150348e+02 1.8502996522034744e+02 1.8426029466739317e+02 1.8339586291648408e+02 1.8242562931765124e+02 1.8133851990926004e+02 1.8012249628428134e+02 1.7877825234812749e+02 1.7728361717863712e+02 1.7564315261720586e+02 1.7386065485001185e+02 1.7195010619294288e+02 1.6993529581644933e+02 1.6786150277659377e+02 1.6579629642979168e+02 1.6384915374148196e+02 1.6216003731695125e+02 1.6094572966432321e+02 1.6050912265104017e+02 1.6128979017865584e+02 1.6392801187841056e+02 1.6939401937494461e+02 1.7922384536374281e+02 1.9600406929820693e+02 1.2167132203137060e+01 +2.6835443037974766e+01 1.7726142875489134e+03 1.7723268936794577e+03 1.7719765703299813e+03 1.7714661298504359e+03 1.7708402602128913e+03 1.7702044974446110e+03 1.7696213045083871e+03 1.7689996665887784e+03 1.7682215003665237e+03 1.7672281671342462e+03 1.7659917676113012e+03 1.7644738915520768e+03 1.7626249385398439e+03 1.7603881870499829e+03 1.7577002500146812e+03 1.7544871954036869e+03 1.7506603732300721e+03 1.7461154750625240e+03 1.7407315897415376e+03 1.7343691705568192e+03 1.7268681525030745e+03 1.7180435510698337e+03 1.7076531280826412e+03 1.6952797788227806e+03 1.6804296764750447e+03 1.6628930883904034e+03 1.6425194835636469e+03 1.6190243803553187e+03 1.5920656237903104e+03 1.5612944095406353e+03 1.5263772814715055e+03 1.4870169146533813e+03 1.4429771666875886e+03 1.3941124008246443e+03 1.3403999212030872e+03 1.2819727797252117e+03 1.2191497856170558e+03 1.1524576152731113e+03 1.0826398960358174e+03 1.0106475710682819e+03 9.3215877579428502e+02 8.5401094456677777e+02 7.7780439935744187e+02 7.0506337015956410e+02 6.3710881798142202e+02 5.7495251174646717e+02 5.1923049825868156e+02 4.7018601987595326e+02 4.2770167035081727e+02 3.9136765925693675e+02 3.6057357348870340e+02 3.3460850771998508e+02 3.1274627508174154e+02 2.9429060538081211e+02 2.7862550164209028e+02 2.6523787477689518e+02 2.5370963008531064e+02 2.4371352368204950e+02 2.3499389297653778e+02 2.2735954198454527e+02 2.2065630073529186e+02 2.1477048596046868e+02 2.0960335217889045e+02 2.0508467634225863e+02 2.0114672082747722e+02 1.9773307895743343e+02 1.9479928445010808e+02 1.9229913471918962e+02 1.9018677283516467e+02 1.8842777257160924e+02 1.8698000014444702e+02 1.8581001580044128e+02 1.8488023041159528e+02 1.8415654002996476e+02 1.8359347469242744e+02 1.8314740215626659e+02 1.8278376373428239e+02 1.8247079946710858e+02 1.8217898042250479e+02 1.8197362559716152e+02 1.8176663612077343e+02 1.8155558930035204e+02 1.8133459580692707e+02 1.8110663462098717e+02 1.8086534802441133e+02 1.8061781907396264e+02 1.8034346601279250e+02 1.8004984428045819e+02 1.7973154977951481e+02 1.7938436250757792e+02 1.7900315454060345e+02 1.7858214914948977e+02 1.7811325363675280e+02 1.7759646004669992e+02 1.7701360421921001e+02 1.7636011424144078e+02 1.7562650766692641e+02 1.7480258005999349e+02 1.7387780809723381e+02 1.7284163670602337e+02 1.7168259182302779e+02 1.7040133353313269e+02 1.6897673159996617e+02 1.6741313333190416e+02 1.6571415704267537e+02 1.6389312989073167e+02 1.6197272637277504e+02 1.5999610392969856e+02 1.5802766610024639e+02 1.5617175894097551e+02 1.5456178858239858e+02 1.5340437914172850e+02 1.5298823027206168e+02 1.5373231851767741e+02 1.5624692236930304e+02 1.6145681193386184e+02 1.7082604718133862e+02 1.8682000790924292e+02 1.1570360450546978e+01 +2.6892071952032062e+01 1.6933972620945699e+03 1.6931208498307521e+03 1.6927860227145020e+03 1.6922980310291550e+03 1.6916994338815769e+03 1.6910909688078361e+03 1.6905322783331999e+03 1.6899364751123530e+03 1.6891907300316043e+03 1.6882389263285299e+03 1.6870543105268214e+03 1.6856000825657120e+03 1.6838287419031301e+03 1.6816859624600047e+03 1.6791110319880534e+03 1.6760331430238696e+03 1.6723673924793102e+03 1.6680138839202989e+03 1.6628568245723757e+03 1.6567625829762565e+03 1.6495778894730404e+03 1.6411256278184978e+03 1.6311738822134173e+03 1.6193233112963301e+03 1.6051011173397601e+03 1.5883066730727116e+03 1.5687961861203473e+03 1.5462976819901191e+03 1.5204840904623436e+03 1.4910221553807189e+03 1.4575935359782056e+03 1.4199147393542137e+03 1.3777611284611232e+03 1.3309950007297432e+03 1.2795966143068179e+03 1.2236955273181463e+03 1.1635992037557291e+03 1.0998139969048552e+03 1.0330536071648107e+03 9.6422958544837513e+02 8.8921405594326518e+02 8.1454519032567077e+02 7.4175233733844004e+02 6.7229047207682402e+02 6.0741879969517936e+02 5.4809992417950264e+02 4.9493683943671954e+02 4.4815722682225095e+02 4.0764472565767255e+02 3.7300453725185952e+02 3.4365125920405796e+02 3.1890450309504854e+02 2.9807012476866566e+02 2.8048320561252268e+02 2.6555588802796962e+02 2.5279878310866687e+02 2.4181328450037066e+02 2.3228751073186115e+02 2.2397786703998355e+02 2.1670221980008617e+02 2.1031372248061956e+02 2.0470410226965487e+02 1.9977930964070609e+02 1.9547246381079617e+02 1.9171904234031899e+02 1.8846531244845994e+02 1.8566891324230792e+02 1.8328582499464369e+02 1.8127235189792160e+02 1.7959568883850952e+02 1.7821568325575410e+02 1.7710046382342162e+02 1.7621420390023400e+02 1.7552439596215498e+02 1.7498769808774964e+02 1.7456252056515075e+02 1.7421591998804229e+02 1.7391762187165756e+02 1.7363948016924496e+02 1.7344375088918878e+02 1.7324646379078243e+02 1.7304530962105318e+02 1.7283467505230325e+02 1.7261739940382293e+02 1.7238742322642156e+02 1.7215149624903668e+02 1.7189000330046295e+02 1.7161014487908787e+02 1.7130677019980428e+02 1.7097585706902530e+02 1.7061251792936037e+02 1.7021124683099231e+02 1.6976433067486576e+02 1.6927176058666831e+02 1.6871622564123325e+02 1.6809336745753316e+02 1.6739414807195979e+02 1.6660884137444629e+02 1.6572741731577003e+02 1.6473981558571418e+02 1.6363510021205929e+02 1.6241389909932505e+02 1.6105607421552276e+02 1.5956576835056831e+02 1.5794643021690186e+02 1.5621076227576589e+02 1.5438037617678509e+02 1.5249640639054132e+02 1.5062023781939729e+02 1.4885132423507605e+02 1.4731682004907651e+02 1.4621366333911041e+02 1.4581702139848676e+02 1.4652623111120434e+02 1.4892296472371501e+02 1.5388864454977735e+02 1.6281870418349826e+02 1.7806295902345272e+02 1.1002712084507399e+01 +2.6948700866089357e+01 1.6176818282222953e+03 1.6174159751398906e+03 1.6170959611983335e+03 1.6166294403787672e+03 1.6160569535985501e+03 1.6154746216640397e+03 1.6149394233978778e+03 1.6143684000013013e+03 1.6136537497152724e+03 1.6127417691922942e+03 1.6116068053928846e+03 1.6102136015743436e+03 1.6085166698350893e+03 1.6064639799640190e+03 1.6039973833624651e+03 1.6010490672983717e+03 1.5975377197049536e+03 1.5933676725523278e+03 1.5884280382719571e+03 1.5825908539298764e+03 1.5757093613147101e+03 1.5676139830909938e+03 1.5580826928966878e+03 1.5467331681107230e+03 1.5331127589100668e+03 1.5170295544117014e+03 1.4983462041213158e+03 1.4768026993511339e+03 1.4520863998841928e+03 1.4238789155318141e+03 1.3918763468850057e+03 1.3558084012034640e+03 1.3154613995139107e+03 1.2707051623771818e+03 1.2215226870154941e+03 1.1680400831661952e+03 1.1105538393221821e+03 1.0495507349316210e+03 9.8571570921288310e+02 9.1992250992277775e+02 8.4822864690530866e+02 7.7688592446547420e+02 7.0735580788831021e+02 6.4102711018961588e+02 5.7910011992318346e+02 5.2249062281625413e+02 4.7177023411709342e+02 4.2715198584313691e+02 3.8852072349562121e+02 3.5549614637038673e+02 3.2751687744414994e+02 3.0393176750103839e+02 2.8407732781946879e+02 2.6731860126760813e+02 2.5309460116884370e+02 2.4093855697469948e+02 2.3047045197566356e+02 2.2139305303443891e+02 2.1347426881631489e+02 2.0654060225833268e+02 2.0045218526004220e+02 1.9510590003145734e+02 1.9041217140551873e+02 1.8630730300656180e+02 1.8272983611384623e+02 1.7962858603730976e+02 1.7696319833472779e+02 1.7469173377788192e+02 1.7277255660229031e+02 1.7117440705184785e+02 1.6985902133707444e+02 1.6879602357267123e+02 1.6795126760984607e+02 1.6729376821448446e+02 1.6678221270236307e+02 1.6637695903178630e+02 1.6604660418787023e+02 1.6576229023575860e+02 1.6549718975861924e+02 1.6531063831332466e+02 1.6512260229762725e+02 1.6493088062825680e+02 1.6473012314339289e+02 1.6452303599906995e+02 1.6430384412806254e+02 1.6407897950355718e+02 1.6382974848562927e+02 1.6356301318180405e+02 1.6327386433667181e+02 1.6295846836441200e+02 1.6261216689396835e+02 1.6222971215959808e+02 1.6180375299068254e+02 1.6133427970320156e+02 1.6080479482660235e+02 1.6021114361918231e+02 1.5954471192502552e+02 1.5879622971089327e+02 1.5795613725706235e+02 1.5701484600233820e+02 1.5596193302352455e+02 1.5479799560558891e+02 1.5350384167909471e+02 1.5208341906726838e+02 1.5054001476960525e+02 1.4888573560729822e+02 1.4714117982083093e+02 1.4534555300747331e+02 1.4355736183146476e+02 1.4187139540057075e+02 1.4040884712006871e+02 1.3935741960436556e+02 1.3897937722543006e+02 1.3965533075787033e+02 1.4193967680165193e+02 1.4667250616945952e+02 1.5518381817877611e+02 1.6971323932205308e+02 1.0462773677947904e+01 +2.7005329780146653e+01 1.5453151311768752e+03 1.5450594136751758e+03 1.5447535631287556e+03 1.5443075863495719e+03 1.5437600761872009e+03 1.5432027716559073e+03 1.5426900944824592e+03 1.5421428379203862e+03 1.5414580092251820e+03 1.5405842143887764e+03 1.5394968566905804e+03 1.5381621591489900e+03 1.5365365625683567e+03 1.5345702370946290e+03 1.5322074911731374e+03 1.5293833822420138e+03 1.5260200397757858e+03 1.5220258480207860e+03 1.5172946201642410e+03 1.5117038251662304e+03 1.5051129440100690e+03 1.4973596224364126e+03 1.4882313084161519e+03 1.4773619840993601e+03 1.4643183026151701e+03 1.4489166967956096e+03 1.4310259741092434e+03 1.4103975733404236e+03 1.3867326574363376e+03 1.3597270493790966e+03 1.3290906466064230e+03 1.2945657529729240e+03 1.2559491257108823e+03 1.2131177178970029e+03 1.1660570638820464e+03 1.1148898731940972e+03 1.0599020183139141e+03 1.0015614282335839e+03 9.4052540322847688e+02 8.7763141497917275e+02 8.0911413216024312e+02 7.4095134133744045e+02 6.7453958249631660e+02 6.1120446400588344e+02 5.5209006898884445e+02 4.9806760173309476e+02 4.4967889032814361e+02 4.0712317877635729e+02 3.7028666228937874e+02 3.3880305745117255e+02 3.1213406401251854e+02 2.8965654607183802e+02 2.7073634174965929e+02 2.5476712580790655e+02 2.4121357033381761e+02 2.2963049001634505e+02 2.1965560002590917e+02 2.1100563429693025e+02 2.0345946664475065e+02 1.9685183057797471e+02 1.9104950752124171e+02 1.8595429122300234e+02 1.8148086964605105e+02 1.7756858035499658e+02 1.7415888395945515e+02 1.7120302392355029e+02 1.6866255792832843e+02 1.6649752964380681e+02 1.6466826695742012e+02 1.6314498322599820e+02 1.6189121525569237e+02 1.6087801298286860e+02 1.6007283253840404e+02 1.5944614025604139e+02 1.5895855843098678e+02 1.5857230219761254e+02 1.5825743748354395e+02 1.5798645715034706e+02 1.5773379111311962e+02 1.5755599043828695e+02 1.5737677502180455e+02 1.5719404692286469e+02 1.5700270690254845e+02 1.5680533415092512e+02 1.5659642473681731e+02 1.5638210772889050e+02 1.5614456804584643e+02 1.5589034518997016e+02 1.5561476019610973e+02 1.5531415930950646e+02 1.5498410268067249e+02 1.5461958871354659e+02 1.5421361131136075e+02 1.5376616008152388e+02 1.5326151306635674e+02 1.5269570972525676e+02 1.5206053998883689e+02 1.5134716867757587e+02 1.5054648451476191e+02 1.4964934873599518e+02 1.4864582758073726e+02 1.4753648919964505e+02 1.4630304338165703e+02 1.4494925209194943e+02 1.4347824814198336e+02 1.4190157043055373e+02 1.4023885094657385e+02 1.3852745617132669e+02 1.3682314845551917e+02 1.3521626936298392e+02 1.3382232860362112e+02 1.3282022312334084e+02 1.3245991478439075e+02 1.3310415967157289e+02 1.3528134797313760e+02 1.3979216230796072e+02 1.4790421260731080e+02 1.6175206404580851e+02 9.9491999829013107e+00 +2.7061958694203948e+01 1.4761508676869314e+03 1.4759048964214664e+03 1.4756125994419397e+03 1.4751862586351122e+03 1.4746626487996009e+03 1.4741293051605128e+03 1.4736382158683625e+03 1.4731137547005465e+03 1.4724575253510302e+03 1.4716203448573845e+03 1.4705786298424839e+03 1.4693000226075712e+03 1.4677428119543745e+03 1.4658592767745317e+03 1.4635960803360015e+03 1.4608910307475082e+03 1.4576695556802624e+03 1.4538439227131983e+03 1.4493124496997357e+03 1.4439578105662754e+03 1.4376454644044234e+03 1.4302199771972212e+03 1.4214778732466632e+03 1.4110687549128002e+03 1.3985777681147815e+03 1.3838293323669898e+03 1.3666981414637689e+03 1.3469465853886486e+03 1.3242890301705656e+03 1.2984348873118977e+03 1.2691072348372575e+03 1.2360603966851197e+03 1.1991010686845511e+03 1.1581129652751556e+03 1.1130839682597984e+03 1.0641334376027576e+03 1.0115369791948970e+03 9.5574436987242746e+02 8.9738635121393713e+02 8.3726558619736898e+02 7.7178603559989938e+02 7.0666329479878641e+02 6.4323181049646303e+02 5.8275681424579147e+02 5.2632877247577221e+02 4.7477644003082986e+02 4.2861337058796164e+02 3.8802583377393586e+02 3.5290150217810441e+02 3.2288764189065387e+02 2.9746811629697839e+02 2.7604662672369295e+02 2.5801706581445308e+02 2.4280046857788903e+02 2.2988600754815454e+02 2.1884909608078135e+02 2.0934436255771939e+02 2.0110185805142223e+02 1.9391090817584933e+02 1.8761408991903494e+02 1.8208452068235766e+02 1.7722867366621284e+02 1.7296529861916162e+02 1.6923662362905532e+02 1.6598689099445568e+02 1.6316965799524064e+02 1.6074830450638078e+02 1.5868476403609216e+02 1.5694123620502822e+02 1.5548933858642371e+02 1.5429432448855263e+02 1.5332860326334193e+02 1.5256115871603888e+02 1.5196384128369945e+02 1.5149911832280159e+02 1.5113097581684124e+02 1.5083088047238579e+02 1.5057261321690012e+02 1.5033180282664441e+02 1.5016234556117686e+02 1.4999154012218463e+02 1.4981738691549987e+02 1.4963502594590577e+02 1.4944691535030111e+02 1.4924780969897580e+02 1.4904354931819293e+02 1.4881715670104057e+02 1.4857486379872208e+02 1.4831221121589675e+02 1.4802571665725216e+02 1.4771114862215859e+02 1.4736374022403982e+02 1.4697681436386250e+02 1.4655036003326614e+02 1.4606939460120870e+02 1.4553014272359113e+02 1.4492477960566535e+02 1.4424488467796655e+02 1.4348177423056589e+02 1.4262673835627709e+02 1.4167030967312704e+02 1.4061302861174363e+02 1.3943746475392186e+02 1.3814720289376459e+02 1.3674522883245402e+02 1.3524253998459366e+02 1.3365784706920149e+02 1.3202676306896967e+02 1.3040243376580983e+02 1.2887096028022057e+02 1.2754243314630531e+02 1.2658735360497303e+02 1.2624395371877178e+02 1.2685796609500329e+02 1.2893298518556497e+02 1.3323211998467539e+02 1.4096349544299611e+02 1.5416150642256895e+02 9.4607106640298273e+00 +2.7118587608261244e+01 1.4100490445950809e+03 1.4098124331156228e+03 1.4095330733868125e+03 1.4091255326164915e+03 1.4086247947904701e+03 1.4081144013919375e+03 1.4076440041606343e+03 1.4071414072148791e+03 1.4065126037820662e+03 1.4057105298183840e+03 1.4047125733620096e+03 1.4034877383239973e+03 1.4019960839637654e+03 1.4001919100587550e+03 1.3980241366769803e+03 1.3954332079660433e+03 1.3923477123243454e+03 1.3886836386276548e+03 1.3843436213342113e+03 1.3792153217093660e+03 1.3731699266101732e+03 1.3660586318779317e+03 1.3576866565656803e+03 1.3477185669145981e+03 1.3357572248471777e+03 1.3216346945285034e+03 1.3052312962078245e+03 1.2863198959330766e+03 1.2646274883574442e+03 1.2398764758321420e+03 1.2118025277336060e+03 1.1801714374420087e+03 1.1447993649399239e+03 1.1055764333982131e+03 1.0624926939989027e+03 1.0156642099467892e+03 9.6535666008822784e+02 9.1200234310634960e+02 8.5620648161837278e+02 7.9873833981165865e+02 7.3616364842069345e+02 6.7394713679781796e+02 6.1336386946778441e+02 5.5562140495306403e+02 5.0175906470002121e+02 4.5256518608873455e+02 4.0852648618056384e+02 3.6981702870339257e+02 3.3632607657264373e+02 3.0771399036308958e+02 2.8348591820368745e+02 2.6307127042833201e+02 2.4589077584042519e+02 2.3139161351795565e+02 2.1908634961998524e+02 2.0857005408180305e+02 1.9951348716811682e+02 1.9165939706437624e+02 1.8480707161663699e+02 1.7880656222792368e+02 1.7353702337731184e+02 1.6890938649883131e+02 1.6484627121134884e+02 1.6129265942978176e+02 1.5819544393652095e+02 1.5551038682838663e+02 1.5320260443869273e+02 1.5123583138552951e+02 1.4957405137053769e+02 1.4819022048258182e+02 1.4705122833290420e+02 1.4613078034804104e+02 1.4539931684788718e+02 1.4483000801411612e+02 1.4438708048911849e+02 1.4403620875650262e+02 1.4375019527239712e+02 1.4350404918830546e+02 1.4327454236502405e+02 1.4311303995069647e+02 1.4295025282116688e+02 1.4278427515415393e+02 1.4261047505914274e+02 1.4243119525787398e+02 1.4224143677208471e+02 1.4204676469130641e+02 1.4183099999395998e+02 1.4160008143865892e+02 1.4134975897375034e+02 1.4107671377819611e+02 1.4077691299684713e+02 1.4044581352186495e+02 1.4007705191819508e+02 1.3967061664763088e+02 1.3921222989356619e+02 1.3869829291765114e+02 1.3812134825685274e+02 1.3747337064220542e+02 1.3674608401763359e+02 1.3593118736032687e+02 1.3501965793547549e+02 1.3401200979901387e+02 1.3289163220664966e+02 1.3166194106530313e+02 1.3032578201202867e+02 1.2889363619571935e+02 1.2738333597108678e+02 1.2582882248604939e+02 1.2428074680383270e+02 1.2282116713933819e+02 1.2155500716397570e+02 1.2064476345197585e+02 1.2031748454056465e+02 1.2090267240272458e+02 1.2288028054478060e+02 1.2697759422343253e+02 1.3434602374853748e+02 1.4692445890534907e+02 8.9960871874629671e+00 +2.7175216522318539e+01 1.3468757276378753e+03 1.3466480656515732e+03 1.3463811043822643e+03 1.3459915420517104e+03 1.3455126898203066e+03 1.3450242670473519e+03 1.3445737029730781e+03 1.3440920766947902e+03 1.3434895726019251e+03 1.3427211583262310e+03 1.3417651525399156e+03 1.3405918655637488e+03 1.3391630527189429e+03 1.3374349503968797e+03 1.3353586414737320e+03 1.3328770961752566e+03 1.3299219318095306e+03 1.3264127031266382e+03 1.3222561808449711e+03 1.3173448048775897e+03 1.3115552497834176e+03 1.3047450628589975e+03 1.2967277920815839e+03 1.2871823383242904e+03 1.2757285347643035e+03 1.2622057625688947e+03 1.2464997198416083e+03 1.2283932938089520e+03 1.2076255578582306e+03 1.1839313333371078e+03 1.1570583176117113e+03 1.1267832475999264e+03 1.0929312950982237e+03 1.0553986570159566e+03 1.0141773867989737e+03 9.6938030558065475e+02 9.2126349501496497e+02 8.7024242610503131e+02 8.1689780317057716e+02 7.6196684621227325e+02 7.0216986350331501e+02 6.4273156295752108e+02 5.8487022215685590e+02 5.2973831164118940e+02 4.7832636774003737e+02 4.3138424692751670e+02 3.8937319611530927e+02 3.5245579883741453e+02 3.2052300764271149e+02 2.9324783516215501e+02 2.7015586844287168e+02 2.5070114460005695e+02 2.3433006196576710e+02 2.2051478061435805e+02 2.0879020275247001e+02 1.9877015531970696e+02 1.9014078479617666e+02 1.8265694500319674e+02 1.7612741914936728e+02 1.7040938118600587e+02 1.6538773774191759e+02 1.6097766763247208e+02 1.5710547742093397e+02 1.5371877256380176e+02 1.5076697125871564e+02 1.4820793651416054e+02 1.4600843938618354e+02 1.4413393100626175e+02 1.4255009557566194e+02 1.4123116504586559e+02 1.4014558884799717e+02 1.3926830806864510e+02 1.3857115166736568e+02 1.3802854817975074e+02 1.3760640171062474e+02 1.3727199669153427e+02 1.3699940929024848e+02 1.3676481979671789e+02 1.3654608995276226e+02 1.3639217177430015e+02 1.3623702937368196e+02 1.3607884633637477e+02 1.3591320825112163e+02 1.3574234780322593e+02 1.3556150097250875e+02 1.3537597049033192e+02 1.3517033854159638e+02 1.3495026438499787e+02 1.3471169755919672e+02 1.3445147510108015e+02 1.3416575354543340e+02 1.3385020313764622e+02 1.3349875948103005e+02 1.3311141058653442e+02 1.3267455053837094e+02 1.3218474900759844e+02 1.3163489874868824e+02 1.3101735137534689e+02 1.3032421949236570e+02 1.2954759191019016e+02 1.2867886981415987e+02 1.2771854216670631e+02 1.2665077963403951e+02 1.2547883713579022e+02 1.2420542667567935e+02 1.2284053718972895e+02 1.2140116359270472e+02 1.1991965309104015e+02 1.1844427825233346e+02 1.1705324279809901e+02 1.1584654420266412e+02 1.1497904735123804e+02 1.1466713830364199e+02 1.1522484462639686e+02 1.1710958034246158e+02 1.2101447604696266e+02 1.2803686981339382e+02 1.4002459613839238e+02 8.5541698576255367e+00 +2.7231845436375835e+01 1.2865027145188496e+03 1.2862836863363434e+03 1.2860285427161489e+03 1.2856561678188680e+03 1.2851982646166352e+03 1.2847308819181712e+03 1.2842993273334059e+03 1.2838378130842623e+03 1.2832605268765456e+03 1.2825243839280695e+03 1.2816085942073912e+03 1.2804847213965713e+03 1.2791161455837257e+03 1.2774609589453325e+03 1.2754723170396412e+03 1.2730956106916626e+03 1.2702653597159972e+03 1.2669045356842194e+03 1.2629238726211850e+03 1.2582203889734576e+03 1.2526760168271674e+03 1.2461543880015095e+03 1.2384770286918133e+03 1.2293365711491022e+03 1.2183691058004413e+03 1.2054210169584137e+03 1.1903831427585194e+03 1.1730479561406598e+03 1.1531660828576012e+03 1.1304842161447193e+03 1.1047615427452483e+03 1.0757852408593167e+03 1.0433890628683764e+03 1.0074749612022124e+03 9.6803683481981727e+02 9.2518431908684215e+02 8.7916421881560768e+02 8.3037580501891046e+02 7.7937622669583448e+02 7.2687196103903966e+02 6.6973101694281991e+02 6.1294846486753966e+02 5.5768827963597255e+02 5.0505031521578280e+02 4.5597857579249296e+02 4.1118628245582522e+02 3.7111051055781303e+02 3.3590304864412997e+02 3.0545662556779814e+02 2.7945647600408034e+02 2.5744781201138176e+02 2.3890825945368843e+02 2.2330876916107817e+02 2.1014536996197830e+02 1.9897428963002497e+02 1.8942725315519019e+02 1.8120508162133902e+02 1.7407417025975599e+02 1.6785235242946399e+02 1.6240358916839944e+02 1.5761826765173959e+02 1.5341561310847555e+02 1.4972544469412341e+02 1.4649786723301060e+02 1.4368470512348455e+02 1.4124582323576874e+02 1.3914956942955169e+02 1.3736303069416911e+02 1.3585351203240936e+02 1.3459646151374417e+02 1.3356181545121885e+02 1.3272569296851708e+02 1.3206124692664270e+02 1.3154410565472921e+02 1.3114177266943756e+02 1.3082306742045145e+02 1.3056328060610701e+02 1.3033970919830779e+02 1.3013125407173135e+02 1.2998456663666681e+02 1.2983671264399101e+02 1.2968596092504782e+02 1.2952810441329123e+02 1.2936527088708615e+02 1.2919292032305319e+02 1.2901610537506807e+02 1.2882013388129545e+02 1.2861039865977938e+02 1.2838303953636523e+02 1.2813504214112302e+02 1.2786274357163443e+02 1.2756201748125156e+02 1.2722708456387686e+02 1.2685793245156452e+02 1.2644159574001591e+02 1.2597480469102781e+02 1.2545078595230969e+02 1.2486225045393944e+02 1.2420168134531606e+02 1.2346153910057140e+02 1.2263362905544773e+02 1.2171841629737672e+02 1.2070081641295381e+02 1.1958393086707632e+02 1.1837034425867864e+02 1.1706957625340098e+02 1.1569782335922548e+02 1.1428591313561458e+02 1.1287985050785140e+02 1.1155416440991318e+02 1.1040415566789476e+02 1.0957741322254279e+02 1.0928015763102479e+02 1.0981166334122591e+02 1.1160785546566468e+02 1.1532930189990510e+02 1.2202178880248064e+02 1.3344633957750921e+02 8.1338549950761561e+00 +2.7288474350433130e+01 1.2288073699789188e+03 1.2285966083233750e+03 1.2283527879864832e+03 1.2279968545458876e+03 1.2275589886068828e+03 1.2271117514879818e+03 1.2266984175284383e+03 1.2262561900455732e+03 1.2257030838573464e+03 1.2249978799509129e+03 1.2241206421162497e+03 1.2230441362217985e+03 1.2217332988658054e+03 1.2201480004848702e+03 1.2182433828941716e+03 1.2159671563509355e+03 1.2132566219635426e+03 1.2100380251828731e+03 1.2062258974870313e+03 1.2017216439725401e+03 1.1964122335625202e+03 1.1901671266826465e+03 1.1828154915521791e+03 1.1740631134789880e+03 1.1635616556384655e+03 1.1511642048533095e+03 1.1367665118044470e+03 1.1201702182686331e+03 1.1011369985479555e+03 1.0794248943343907e+03 1.0548040668317847e+03 1.0270716558729475e+03 9.9606958333725811e+02 9.6170525493718412e+02 9.2397426816997256e+02 8.8298313031573502e+02 8.3896968038661294e+02 7.9231759503549688e+02 7.4356139457685447e+02 6.9337806355676923e+02 6.3877673644758943e+02 5.8453278879867537e+02 5.3175827044243738e+02 4.8150278142728371e+02 4.3466594461646150e+02 3.9192610439087139e+02 3.5369739854515814e+02 3.2012146749680215e+02 2.9109289138344047e+02 2.6630870913981545e+02 2.4533297473425844e+02 2.2766590720894072e+02 2.1280194040670770e+02 2.0025990832910611e+02 1.8961639886876696e+02 1.8052021493018580e+02 1.7268617311060734e+02 1.6589167183792881e+02 1.5996317007222925e+02 1.5477109612509616e+02 1.5021105882416941e+02 1.4620613826975185e+02 1.4268950003242395e+02 1.3961362995909181e+02 1.3693264501539133e+02 1.3460831751603064e+02 1.3261049784441548e+02 1.3090783195069667e+02 1.2946916964613416e+02 1.2827111814792383e+02 1.2728503109539218e+02 1.2648815069083015e+02 1.2585489195073471e+02 1.2536202713920788e+02 1.2497858473420666e+02 1.2467484773155000e+02 1.2442726490438358e+02 1.2421419796071902e+02 1.2401553850252766e+02 1.2387574465676150e+02 1.2373483922122335e+02 1.2359117230257121e+02 1.2344073451286678e+02 1.2328555361621248e+02 1.2312130313127381e+02 1.2295279734520416e+02 1.2276603584362762e+02 1.2256615745750476e+02 1.2234948342695358e+02 1.2211314104632822e+02 1.2185363955636514e+02 1.2156704653401879e+02 1.2124785445984311e+02 1.2089605065363260e+02 1.2049928028801962e+02 1.2005442675600989e+02 1.1955503502970865e+02 1.1899415860039248e+02 1.1836463388427744e+02 1.1765927568804589e+02 1.1687027464338945e+02 1.1599807312292870e+02 1.1502829683209531e+02 1.1396390096516963e+02 1.1280734865670897e+02 1.1156771218361315e+02 1.1026042687650450e+02 1.0891487150782514e+02 1.0757488909116113e+02 1.0631150516903736e+02 1.0521554286163767e+02 1.0442765446458216e+02 1.0414436903625173e+02 1.0465089585294101e+02 1.0636267312939273e+02 1.0990922443870230e+02 1.1628718785052264e+02 1.2717482369104367e+02 7.7340922487024315e+00 +2.7345103264490426e+01 1.1736723422754981e+03 1.1734695232938757e+03 1.1732365398867769e+03 1.1728963164525599e+03 1.1724776182904036e+03 1.1720496719743935e+03 1.1716538035129672e+03 1.1712300702740254e+03 1.1707001483374497e+03 1.1700246049841071e+03 1.1691843225023349e+03 1.1681532194783042e+03 1.1668977236965095e+03 1.1653794095074559e+03 1.1635553220993911e+03 1.1613753941400885e+03 1.1587795917969852e+03 1.1556972973218867e+03 1.1520466806163706e+03 1.1477333494379279e+03 1.1426490979546666e+03 1.1366689698628484e+03 1.1296294531166477e+03 1.1212489317036830e+03 1.1111939853508313e+03 1.0993241154307484e+03 1.0855397675706886e+03 1.0696513533331336e+03 1.0514311133450838e+03 1.0306479370109341e+03 1.0070824677401764e+03 9.8054134896799371e+02 9.5087428020893094e+02 9.1799383341980160e+02 8.8189716689916918e+02 8.4268771867463965e+02 8.0059466388552630e+02 7.5598666910366887e+02 7.0937651754816284e+02 6.6141290199939124e+02 6.0923979629664120e+02 5.5742240055939942e+02 5.0702311542933120e+02 4.5904354561203519e+02 4.1434098585030961e+02 3.7356057964976270e+02 3.3709469979443350e+02 3.0507544913291230e+02 2.7739932326726279e+02 2.5377475963300898e+02 2.3378390073343434e+02 2.1694860401012934e+02 2.0278576241318993e+02 1.9083599811001682e+02 1.8069533672823820e+02 1.7202887603949833e+02 1.6456478012168986e+02 1.5809093721186784e+02 1.5244202703884483e+02 1.4749464030151631e+02 1.4314936070536871e+02 1.3933294066768917e+02 1.3598173379352880e+02 1.3305049416384932e+02 1.3049552300129525e+02 1.2828041006447569e+02 1.2637643745123391e+02 1.2475373676170744e+02 1.2338263015610227e+02 1.2224082967596252e+02 1.2130103995867327e+02 1.2054157386845979e+02 1.1993804968683844e+02 1.1946833033251987e+02 1.1910289823044526e+02 1.1881343174973007e+02 1.1857748388378936e+02 1.1837443152653830e+02 1.1818511083784456e+02 1.1805188901803669e+02 1.1791760800446762e+02 1.1778069539240695e+02 1.1763733025274722e+02 1.1748944500197541e+02 1.1733291673046776e+02 1.1717233252484377e+02 1.1699435138401672e+02 1.1680387002762211e+02 1.1659738264770232e+02 1.1637215159444452e+02 1.1612485022175221e+02 1.1585173098363798e+02 1.1554754546007726e+02 1.1521228071897826e+02 1.1483416396295523e+02 1.1441022460104826e+02 1.1393431108005078e+02 1.1339980347260163e+02 1.1279987498237158e+02 1.1212767821954976e+02 1.1137577112932551e+02 1.1054457447323691e+02 1.0962039088781687e+02 1.0860603614631972e+02 1.0750385758489692e+02 1.0632250096166925e+02 1.0507667593713744e+02 1.0379438008045641e+02 1.0251739533480809e+02 1.0131340731940499e+02 1.0026897026921311e+02 9.9518123442421441e+01 9.9248156482848600e+01 9.9730869628364957e+01 1.0136216987205027e+02 1.0474198462687221e+02 1.1082009653842285e+02 1.2119586367151462e+02 7.3538820359301527e+00 +2.7401732178547721e+01 1.1209853549388645e+03 1.1207901747813444e+03 1.1205675375113537e+03 1.1202423489950625e+03 1.1198419873294392e+03 1.1194325072348483e+03 1.1190533802852663e+03 1.1186473806907904e+03 1.1181396877710883e+03 1.1174925781439770e+03 1.1166877194296928e+03 1.1157001351242027e+03 1.1144976816745248e+03 1.1130435660570640e+03 1.1112966573457434e+03 1.1092090175691319e+03 1.1067231664980457e+03 1.1037714917469762e+03 1.1002756491433272e+03 1.0961452727031578e+03 1.0912767789781167e+03 1.0855505597391291e+03 1.0788101137546591e+03 1.0707858922647051e+03 1.0611587625119614e+03 1.0497943646153035e+03 1.0365976310213264e+03 1.0213873610951786e+03 1.0039459002538605e+03 9.8405250658842579e+02 9.6149783515684578e+02 9.3609759561576300e+02 9.0770889160493357e+02 8.7624918875302092e+02 8.4171707714518391e+02 8.0421298532894389e+02 7.6395771757463535e+02 7.2130549398913604e+02 6.7674821850222804e+02 6.3090744559162192e+02 5.8105597858815963e+02 5.3155795624051052e+02 4.8342830809548821e+02 4.3762280249628753e+02 3.9495836598991633e+02 3.5604853801474690e+02 3.2126504042662441e+02 2.9073101470244683e+02 2.6434492611314039e+02 2.4182621666130811e+02 2.2277439269015704e+02 2.0673203444571050e+02 1.9323751376886443e+02 1.8185226856270245e+02 1.7219088098244583e+02 1.6393399605726776e+02 1.5682250696774040e+02 1.5065430207004121e+02 1.4527189583932221e+02 1.4055775071323720e+02 1.3641719005943526e+02 1.3278046462825989e+02 1.2958696511132743e+02 1.2679360633440054e+02 1.2435877054241737e+02 1.2224777914988134e+02 1.2043327846995153e+02 1.1888681586158172e+02 1.1758011674560855e+02 1.1649194618979524e+02 1.1559629657927196e+02 1.1487250145012055e+02 1.1429732618304968e+02 1.1384967353080081e+02 1.1350141213022192e+02 1.1322555069923943e+02 1.1300069508000509e+02 1.1280719008820626e+02 1.1262677240533836e+02 1.1249981592450493e+02 1.1237185019352586e+02 1.1224137668416441e+02 1.1210475413361998e+02 1.1196382406092420e+02 1.1181465761939560e+02 1.1166162534254360e+02 1.1149201480742741e+02 1.1131049194796336e+02 1.1111371583651533e+02 1.1089907757690411e+02 1.1066340697715913e+02 1.1040313274106769e+02 1.1011325344734922e+02 1.0979375596797624e+02 1.0943342231276891e+02 1.0902942111836897e+02 1.0857589014427280e+02 1.0806652080402904e+02 1.0749480737146750e+02 1.0685422449615210e+02 1.0613768028658106e+02 1.0534557494388815e+02 1.0446485638633750e+02 1.0349820749744120e+02 1.0244786521891511e+02 1.0132206869440684e+02 1.0013483577923813e+02 9.8912847295904839e+01 9.7695920293387815e+01 9.6548556371361300e+01 9.5553240041737610e+01 9.4837706160305601e+01 9.4580436125802933e+01 9.5040446914278604e+01 9.6595025759675650e+01 9.9815885078902596e+01 1.0560813869004647e+02 1.1549592459197385e+02 6.9922731049002111e+00 +2.7458361092605017e+01 1.0706390002466528e+03 1.0704511440632348e+03 1.0702384011215997e+03 1.0699275874105019e+03 1.0695447751901240e+03 1.0691529742609814e+03 1.0687898928210541e+03 1.0684008970758209e+03 1.0679145167729594e+03 1.0672946637019363e+03 1.0665237595123945e+03 1.0655778864935198e+03 1.0644262698816096e+03 1.0630336809374317e+03 1.0613607363822664e+03 1.0593615383821452e+03 1.0569810534294727e+03 1.0541545484793016e+03 1.0508070190626086e+03 1.0468519563229943e+03 1.0421902047194935e+03 1.0367072786356268e+03 1.0302533915393510e+03 1.0225705525301618e+03 1.0133533133917983e+03 1.0024731888392265e+03 9.8983939906901276e+02 9.7527876562367055e+02 9.5858329700386048e+02 9.3954216174683768e+02 9.1795557675652117e+02 8.9364790028047048e+02 8.6648328408646341e+02 8.3638382866145423e+02 8.0334943509287359e+02 7.6747758297192081e+02 7.2898098997754732e+02 6.8819997337157145e+02 6.4560638302553173e+02 6.0179574296431088e+02 5.5416394050635859e+02 5.0688277859068592e+02 4.6092180014997246e+02 4.1719300084499713e+02 3.7647480982234998e+02 3.3935068389103702e+02 3.0617275243507493e+02 2.7705573923816479e+02 2.5190012424839776e+02 2.3043597171138487e+02 2.1227945478082850e+02 1.9699299855086272e+02 1.8413551540936709e+02 1.7328832923040835e+02 1.6408373685749967e+02 1.5621721682711589e+02 1.4944180136102395e+02 1.4356491186030308e+02 1.3843652947188787e+02 1.3394471130288304e+02 1.2999929618960454e+02 1.2653386740357377e+02 1.2349070886359716e+02 1.2082879370260055e+02 1.1850848679324979e+02 1.1649675943506364e+02 1.1476755781403547e+02 1.1329377841845918e+02 1.1204848405763178e+02 1.1101144343542417e+02 1.1015787637264815e+02 1.0946808940046670e+02 1.0891994143317868e+02 1.0849332658534379e+02 1.0816143509865245e+02 1.0789854402050669e+02 1.0768426303958735e+02 1.0749985981060827e+02 1.0732792953675279e+02 1.0720694590232796e+02 1.0708500062294868e+02 1.0696066560171630e+02 1.0683047085630878e+02 1.0669617125250389e+02 1.0655402293827001e+02 1.0640819004658591e+02 1.0624655932779577e+02 1.0607357672990321e+02 1.0588605850811366e+02 1.0568151850865841e+02 1.0545693568982745e+02 1.0520890677660108e+02 1.0493266580695789e+02 1.0462819950759003e+02 1.0428481873556603e+02 1.0389982488054594e+02 1.0346763150752690e+02 1.0298222683587557e+02 1.0243741122016276e+02 1.0182696631467975e+02 1.0114413403516077e+02 1.0038929502238089e+02 9.9550012294512911e+01 9.8628842073646780e+01 9.7627916060658194e+01 9.6555085767444339e+01 9.5423709541956399e+01 9.4259212933223296e+01 9.3099539821241990e+01 9.2006156471478775e+01 9.1057667620058496e+01 9.0375798068772767e+01 9.0130632184436365e+01 9.0569000492703296e+01 9.2050439744324109e+01 9.5119764596920461e+01 1.0063950543166777e+02 1.1006209194329097e+02 6.6483602128499273e+00 +2.7514990006662313e+01 1.0225304971928782e+03 1.0223496809463296e+03 1.0221464010986803e+03 1.0218493405010636e+03 1.0214833086835602e+03 1.0211084339286440e+03 1.0207607294893734e+03 1.0203880376345139e+03 1.0199220906397917e+03 1.0193283647044543e+03 1.0185900056299477e+03 1.0176841101367864e+03 1.0165812148759967e+03 1.0152475898881202e+03 1.0136455264176848e+03 1.0117310812180586e+03 1.0094515650167211e+03 1.0067450032772970e+03 1.0035395910389884e+03 9.9975251442379795e+02 9.9528885935504866e+02 9.9003904671465511e+02 9.8385972084609818e+02 9.7650396044717445e+02 9.6767942387251583e+02 9.5726324744870840e+02 9.4516874873410438e+02 9.3123042149696812e+02 9.1524951459124838e+02 8.9702466867716043e+02 8.7636523255743680e+02 8.5310381431215001e+02 8.2711127454898428e+02 7.9831410289744406e+02 7.6671339842851148e+02 7.3240375286764402e+02 6.9559007304865202e+02 6.5659929766673338e+02 6.1588401636558081e+02 5.7401478668763980e+02 5.2850508735610128e+02 4.8334273878375643e+02 4.3945389208833001e+02 3.9770874274270386e+02 3.5884900812729717e+02 3.2342951197472286e+02 2.9178379673651176e+02 2.6401868140840850e+02 2.4003669715720440e+02 2.1957815953775804e+02 2.0227523816917747e+02 1.8770936118456581e+02 1.7545908330774631e+02 1.6512472544917441e+02 1.5635549494287699e+02 1.4886102243003953e+02 1.4240591615006886e+02 1.3680668505893087e+02 1.3192042602219348e+02 1.2764052669984750e+02 1.2388112771462724e+02 1.2057898683941627e+02 1.1767914411848008e+02 1.1514253337148737e+02 1.1293140831928122e+02 1.1101431220626185e+02 1.0936642975919808e+02 1.0796194307730249e+02 1.0677518955308601e+02 1.0578689443481819e+02 1.0497344746814443e+02 1.0431608271166195e+02 1.0379370152779016e+02 1.0338714316126274e+02 1.0307085783739302e+02 1.0282033178081201e+02 1.0261613178488210e+02 1.0244040534351120e+02 1.0227656612378114e+02 1.0216127638687000e+02 1.0204507038015201e+02 1.0192658715268476e+02 1.0180252000454166e+02 1.0167454119637696e+02 1.0153908322281684e+02 1.0140011349607431e+02 1.0124608990009756e+02 1.0108124869507535e+02 1.0090255597805439e+02 1.0070764260507295e+02 1.0049362971868297e+02 1.0025727421774978e+02 9.9994034594663546e+01 9.9703897476832097e+01 9.9376677814275055e+01 9.9009803572919324e+01 9.8597951242099768e+01 9.8135391984588566e+01 9.7616217940614078e+01 9.7034503430289021e+01 9.6383808578999066e+01 9.5664495418275720e+01 9.4864713285317862e+01 9.3986897678865859e+01 9.3033079974227491e+01 9.2010742155853436e+01 9.0932613865534520e+01 8.9822924006027819e+01 8.8717830766715792e+01 8.7675906877023763e+01 8.6772058451613916e+01 8.6122280955425154e+01 8.5888653895503992e+01 8.6306390522362065e+01 8.7718106126820814e+01 9.0642973848745513e+01 9.5902929458240791e+01 1.0488204349068198e+02 6.3212819152053310e+00 +2.7571618920719608e+01 9.7656153842911090e+02 9.7638749029740279e+02 9.7619325486088655e+02 9.7590933800131143e+02 9.7555936521498711e+02 9.7520069450390201e+02 9.7486772425840979e+02 9.7451066507397991e+02 9.7406430753304255e+02 9.7349562522102087e+02 9.7278845927901352e+02 9.7192087828912850e+02 9.7086467530741902e+02 9.6958755637109584e+02 9.6805341712270706e+02 9.6622018687459013e+02 9.6403742231201375e+02 9.6144579156778104e+02 9.5837655477038334e+02 9.5475043756978084e+02 9.5047658863226741e+02 9.4545012817387499e+02 9.3953385938766610e+02 9.3249146258460587e+02 9.2404314870446092e+02 9.1407143340872540e+02 9.0249354954002013e+02 8.8915132814453898e+02 8.7385485388974132e+02 8.5641182029482763e+02 8.3664029711075284e+02 8.1438076153335385e+02 7.8951045966718630e+02 7.6196003702199562e+02 7.3173168496112919e+02 6.9891716884281095e+02 6.6371385206035552e+02 6.2643580030848932e+02 5.8751710657425804e+02 5.4750438367537788e+02 5.0402345111049777e+02 4.6088614334915326e+02 4.1897712857152800e+02 3.7912668731129151e+02 3.4204152945921874e+02 3.0824922666036582e+02 2.7806568964431307e+02 2.5159031640309260e+02 2.2872771807675980e+02 2.0922810176482199e+02 1.9273898893887107e+02 1.7886000367540339e+02 1.6718848328457770e+02 1.5734289585159681e+02 1.4898859099012458e+02 1.4184870094738048e+02 1.3569887277184631e+02 1.3036427808372730e+02 1.2570879484884578e+02 1.2163088951607000e+02 1.1804880083583080e+02 1.1490231049163748e+02 1.1213908399544316e+02 1.0972192282568976e+02 1.0761488017226898e+02 1.0578799693718075e+02 1.0421763792685067e+02 1.0287921029987797e+02 1.0174826615290658e+02 1.0080644237829893e+02 1.0003124380890377e+02 9.9404788669947749e+01 9.8906972053579182e+01 9.8519534240491737e+01 9.8218126667779146e+01 9.7979388320546178e+01 9.7784798513391948e+01 9.7617343565742189e+01 9.7461217404495088e+01 9.7351355538092236e+01 9.7240620651011056e+01 9.7127715804374631e+01 9.7009489953239438e+01 9.6887536613442663e+01 9.6758456379366933e+01 9.6626029172085182e+01 9.6479257270873319e+01 9.6322177068118108e+01 9.6151897501722090e+01 9.5966160970472146e+01 9.5762224157903006e+01 9.5536996653121207e+01 9.5286150908011280e+01 9.5009673492999141e+01 9.4697859845979423e+01 9.4348258617369410e+01 9.3955796936405648e+01 9.3515015689302004e+01 9.3020285168626458e+01 9.2465958686290875e+01 9.1845899702178073e+01 9.1160452543996016e+01 9.0398325422909863e+01 8.9561838776506264e+01 8.8652928341799864e+01 8.7678723840999893e+01 8.6651355584964350e+01 8.5593911740868293e+01 8.4540848233378910e+01 8.3547979483921182e+01 8.2686685750103706e+01 8.2067500871424699e+01 8.1844873500011431e+01 8.2242942417786807e+01 8.3588192073860583e+01 8.6375352135509743e+01 9.1387660453114307e+01 9.9944022392200537e+01 6.0102184601479083e+00 +2.7628247834776904e+01 9.3263807785104177e+02 9.3247052677154272e+02 9.3228493229722312e+02 9.3201359084333615e+02 9.3167897637113629e+02 9.3133581994287761e+02 9.3101696742356773e+02 9.3067489689780120e+02 9.3024731896150081e+02 9.2970264086331167e+02 9.2902537118810790e+02 9.2819450960146582e+02 9.2718305278886589e+02 9.2596008262531257e+02 9.2449103188369759e+02 9.2273562380257977e+02 9.2064556678552856e+02 9.1816406058515406e+02 9.1522530154653828e+02 9.1175340582064644e+02 9.0766141349805207e+02 9.0284894556788379e+02 8.9718470335156678e+02 8.9044252023937509e+02 8.8235462878517876e+02 8.7280869197100287e+02 8.6172568379192239e+02 8.4895445201193320e+02 8.3431352998815044e+02 8.1761926307903707e+02 7.9869804921268724e+02 7.7739787122132248e+02 7.5360205257542782e+02 7.2724517325692796e+02 6.9833041813272848e+02 6.6694678794833078e+02 6.3328436192037725e+02 5.9764482020956882e+02 5.6044449354888638e+02 5.2220703119597169e+02 4.8066557424547392e+02 4.3946362603957226e+02 3.9944619838858807e+02 3.6140545866927010e+02 3.2601473582690500e+02 2.9377566503022996e+02 2.6498743261664146e+02 2.3974247181410433e+02 2.1794749534014753e+02 1.9936225301576948e+02 1.8364899836150428e+02 1.7042477763769676e+02 1.5930488784581024e+02 1.4992513177677284e+02 1.4196626751507324e+02 1.3516430793880104e+02 1.2930542634400663e+02 1.2422305178295760e+02 1.1978752428545417e+02 1.1590214910739550e+02 1.1248906902557189e+02 1.0949094612708291e+02 1.0685794687733544e+02 1.0455465176359610e+02 1.0254682826206681e+02 1.0080594412800906e+02 9.9309488524103429e+01 9.8034035946502172e+01 9.6956296107243844e+01 9.6058774733531493e+01 9.5320039457723553e+01 9.4723051321141199e+01 9.4248652685354955e+01 9.3879442812673304e+01 9.3592218299057606e+01 9.3364717082963651e+01 9.3179288476733078e+01 9.3019718506754600e+01 9.2870944924897302e+01 9.2766257231073226e+01 9.2660737738447423e+01 9.2553150531377952e+01 9.2440492946107895e+01 9.2324283434767850e+01 9.2201282827473008e+01 9.2075092353737432e+01 9.1935233192067670e+01 9.1785551230776946e+01 9.1623291572073768e+01 9.1446302943845012e+01 9.1251971235195157e+01 9.1037351588435016e+01 9.0798320407242414e+01 9.0534864243142792e+01 9.0237736513507116e+01 8.9904600933741051e+01 8.9530623557600450e+01 8.9110602387463246e+01 8.8639172867050462e+01 8.8110954259409581e+01 8.7520099173775392e+01 8.6866935095603267e+01 8.6140702939659988e+01 8.5343613480787752e+01 8.4477511287818871e+01 8.3549190286034417e+01 8.2570209468833639e+01 8.1562569587242592e+01 8.0559103861391279e+01 7.9612997363162236e+01 7.8792269252827893e+01 7.8202247047945548e+01 7.7990105216543427e+01 7.8369425720966774e+01 7.9651316144516684e+01 8.2307205201680318e+01 8.7083441610321017e+01 9.5236811522800110e+01 5.7143897836651085e+00 +2.7684876748834199e+01 8.9067014077524436e+02 8.9050882042396199e+02 8.9033149066373142e+02 8.9007217043539538e+02 8.8975225554982842e+02 8.8942394881709129e+02 8.8911862383046105e+02 8.8879092366518489e+02 8.8838134820070104e+02 8.8785967724578313e+02 8.8721105988620127e+02 8.8641538781192367e+02 8.8544681070451168e+02 8.8427572862232068e+02 8.8286904696254282e+02 8.8118820750549867e+02 8.7918698001052121e+02 8.7681098939337028e+02 8.7399724466718919e+02 8.7067310962486476e+02 8.6675535156094099e+02 8.6214790192410487e+02 8.5672511029571035e+02 8.5027053327026726e+02 8.4252791611640191e+02 8.3338984696065393e+02 8.2278087443195909e+02 8.1055655622332972e+02 7.9654350393967070e+02 7.8056633123170980e+02 7.6245938881653740e+02 7.4207781815850376e+02 7.1931072648313545e+02 6.9409641810106916e+02 6.6643897911126180e+02 6.3642470751400879e+02 6.0423664965811338e+02 5.7016457014144009e+02 5.3460774373540914e+02 4.9806779826055015e+02 4.5838039863206888e+02 4.1902804442756582e+02 3.8081783881746929e+02 3.4450555794859537e+02 3.1073270211259432e+02 2.7997622326079437e+02 2.5251944513646174e+02 2.2844826638216904e+02 2.0767151634504293e+02 1.8995814945469263e+02 1.7498455539561638e+02 1.6238446085867685e+02 1.5179033495979652e+02 1.4285453850267774e+02 1.3527253712350873e+02 1.2879263155929067e+02 1.2321103232292954e+02 1.1836903942620930e+02 1.1414315079213046e+02 1.1044128173706513e+02 1.0718929407714180e+02 1.0433259354882826e+02 1.0182372891430379e+02 9.9628975194256284e+01 9.7715732968729768e+01 9.6056829363381610e+01 9.4630824784237348e+01 9.3415406041840896e+01 9.2388386036924842e+01 9.1533098516412593e+01 9.0829124056453196e+01 9.0260227082312468e+01 8.9808152918685366e+01 8.9456319702430662e+01 8.9182615728239526e+01 8.8965826572922779e+01 8.8789130986654058e+01 8.8637077394557124e+01 8.8495312625034174e+01 8.8395557168658414e+01 8.8295009202168259e+01 8.8192490983011339e+01 8.8085141292084316e+01 8.7974407028127445e+01 8.7857201757888319e+01 8.7736956409064362e+01 8.7603686748029901e+01 8.7461057087589268e+01 8.7306442327056985e+01 8.7137792551503850e+01 8.6952616814176622e+01 8.6748109004572242e+01 8.6520339934500839e+01 8.6269296171168605e+01 8.5986167649439665e+01 8.5668727789435763e+01 8.5312370397321970e+01 8.4912138568932988e+01 8.4462920500658797e+01 8.3959588970954357e+01 8.3396572211164340e+01 8.2774181684323665e+01 8.2082166054358382e+01 8.1322631580398934e+01 8.0497335926303393e+01 7.9612752921763416e+01 7.8679896957534112e+01 7.7719732215730303e+01 7.6763545083221246e+01 7.5862014260062466e+01 7.5079954932059181e+01 7.4517731759213561e+01 7.4315585159105964e+01 7.4677033921181433e+01 7.5898527779384096e+01 7.8429284040655176e+01 8.2980487210228176e+01 9.0749708950623500e+01 5.4330536003274856e+00 +2.7741505662891495e+01 8.5057164545088744e+02 8.5041632892716700e+02 8.5024689743684314e+02 8.4999906970592383e+02 8.4969320952984413e+02 8.4937912032444456e+02 8.4908675822887028e+02 8.4877283494323967e+02 8.4838051630993334e+02 8.4788089606675840e+02 8.4725973786772363e+02 8.4649778801481807e+02 8.4557030060937848e+02 8.4444893863389620e+02 8.4310201825005856e+02 8.4149262751862159e+02 8.3957651091094056e+02 8.3730161646054728e+02 8.3460764740185505e+02 8.3142507823308915e+02 8.2767424604098539e+02 8.2326321033402644e+02 8.1807172949433641e+02 8.1189267133775809e+02 8.0448080612919409e+02 7.9573343438715892e+02 7.8557852014471371e+02 7.7387803742694950e+02 7.6046632162076946e+02 7.4517588784697932e+02 7.2784868085380310e+02 7.0834666947888923e+02 6.8656446493768374e+02 6.6244389644613057e+02 6.3598986520181654e+02 6.0728602831319881e+02 5.7650864281234954e+02 5.4393601078218148e+02 5.0995103024612530e+02 4.7503421216172961e+02 4.3711915926752692e+02 3.9953438102870768e+02 3.6305074418611872e+02 3.2838927919597711e+02 2.9616113905594347e+02 2.6681978630405564e+02 2.4063350058306020e+02 2.1768205148275351e+02 1.9787639403330783e+02 1.8099435963921289e+02 1.6672590131826971e+02 1.5472071516943075e+02 1.4462768868367434e+02 1.3611499821985203e+02 1.2889214748493572e+02 1.2271915924354305e+02 1.1740181466001059e+02 1.1278891613431462e+02 1.0876282949193769e+02 1.0523586207895067e+02 1.0213741845329385e+02 9.9415517685551592e+01 9.7024977762370000e+01 9.4933687741229136e+01 9.3110603938903353e+01 9.1529848534888743e+01 9.0171002555528787e+01 8.9012812675289680e+01 8.8034143096295921e+01 8.7219116671847885e+01 8.6548279387050769e+01 8.6006161447998991e+01 8.5575368892565180e+01 8.5240100481203925e+01 8.4979285223284577e+01 8.4772707394856226e+01 8.4604336499531485e+01 8.4459447778172390e+01 8.4324363998471426e+01 8.4229310066429875e+01 8.4133501069980852e+01 8.4035814721518179e+01 8.3933524631172503e+01 8.3828009492273736e+01 8.3716328457003343e+01 8.3601750150288836e+01 8.3474761745136632e+01 8.3338854492018584e+01 8.3191527015645860e+01 8.3030826017234190e+01 8.2854377952561464e+01 8.2659508967994654e+01 8.2442475183147906e+01 8.2203263212122849e+01 8.1933479043142171e+01 8.1631000688437197e+01 8.1291439052670611e+01 8.0910070860203547e+01 8.0482025236824313e+01 8.0002416617257566e+01 7.9465935955679896e+01 7.8872879472851750e+01 7.8213479787303925e+01 7.7489743549902940e+01 7.6703345584422308e+01 7.5860454598652169e+01 7.4971565855977815e+01 7.4056655458226402e+01 7.3145535311378481e+01 7.2286495015052282e+01 7.1541295616830666e+01 7.1005571089462549e+01 7.0812952156315802e+01 7.1157365180943614e+01 7.2321287711779902e+01 7.4732764652713229e+01 7.9069461202900769e+01 8.6472504514703658e+01 5.1655035852588327e+00 +2.7798134576948790e+01 8.1226027255986992e+02 8.1211071855669252e+02 8.1194884105023687e+02 8.1171200510627307e+02 8.1141958851233301e+02 8.1111910995634037e+02 8.1083916834668810e+02 8.1053845258605770e+02 8.1016267544592893e+02 8.0968418848496026e+02 8.0908934506447633e+02 8.0835971022906699e+02 8.0747159592244748e+02 8.0639787506954121e+02 8.0510821528750341e+02 8.0356728165105937e+02 8.0173271026981638e+02 7.9955467447510671e+02 7.9697545818393587e+02 7.9392851532799330e+02 7.9033760192056093e+02 7.8611473071533521e+02 7.8114483941596632e+02 7.7522971225021490e+02 7.6813467706713561e+02 7.5976154306482294e+02 7.5004153741773428e+02 7.3884276952769676e+02 7.2600695939944274e+02 7.1137417280291379e+02 6.9479360567388028e+02 6.7613373800687054e+02 6.5529441845525923e+02 6.3222081190692836e+02 6.0691855430859323e+02 5.7946872359990675e+02 5.5004102347746630e+02 5.1890273020079508e+02 4.8642101816487809e+02 4.5305614993443459e+02 4.1683528264096776e+02 3.8093964875161629e+02 3.4610547845607010e+02 3.1302062898893945e+02 2.8226731965491524e+02 2.5427666069692486e+02 2.2930266496711425e+02 2.0741935522755071e+02 1.8853981576716060e+02 1.7245043757686022e+02 1.5885418639489228e+02 1.4741604620732770e+02 1.3780060156253887e+02 1.2969113467071654e+02 1.2281054788089382e+02 1.1693004588769381e+02 1.1186453538825505e+02 1.0746996968157686e+02 1.0363430603133359e+02 1.0027403600065095e+02 9.7321938877668600e+01 9.4728522890345999e+01 9.2450767501148917e+01 9.0458099101821773e+01 8.8720956014918315e+01 8.7214694177359135e+01 8.5919866985742928e+01 8.4816230983080814e+01 8.3883652206363152e+01 8.3107005516693022e+01 8.2467756985987904e+01 8.1951166744284862e+01 8.1540661253106748e+01 8.1221183418014647e+01 8.0972654340284237e+01 8.0775810323531275e+01 8.0615374729569410e+01 8.0477315679482672e+01 8.0348600278042554e+01 8.0258027863770010e+01 8.0166736073395199e+01 8.0073655482184918e+01 7.9976188221310892e+01 7.9875647971088497e+01 7.9769232650162124e+01 7.9660056206797449e+01 7.9539055117573554e+01 7.9409555687603500e+01 7.9269174477328463e+01 7.9116050282637488e+01 7.8947921468048975e+01 7.8762240247563085e+01 7.8555439370817410e+01 7.8327505526986172e+01 7.8070441245489491e+01 7.7782224254233213e+01 7.7458672397107776e+01 7.7095285094014798e+01 7.6687421125373035e+01 7.6230425273676545e+01 7.5719238915418927e+01 7.5154143771590142e+01 7.4525833727055144e+01 7.3836220503220630e+01 7.3086899960368967e+01 7.2283749962694571e+01 7.1436770939394592e+01 7.0564997150660076e+01 6.9696835016156271e+01 6.8878296863085666e+01 6.8168232485837251e+01 6.7657766564573720e+01 6.7474229432552434e+01 6.7802403928217487e+01 6.8911449258537743e+01 7.1209228711917916e+01 7.5341456753074439e+01 8.2395457455479914e+01 4.9110676429781384e+00 +2.7854763491006086e+01 7.7565728934422805e+02 7.7551326580544128e+02 7.7535860176893345e+02 7.7513227377953012e+02 7.7485271751274593e+02 7.7456526686813027e+02 7.7429722551863426e+02 7.7400917101372022e+02 7.7364924915831568e+02 7.7319101550641949e+02 7.7262138930558228e+02 7.7192271995848989e+02 7.7107233260431462e+02 7.7004425930295531e+02 7.6880946226974754e+02 7.6733411720072161e+02 7.6557767219064738e+02 7.6349243211373687e+02 7.6102315272322573e+02 7.5810614156764655e+02 7.5466842898329207e+02 7.5062581343836393e+02 7.4586819205414861e+02 7.4020588712160588e+02 7.3341433614885079e+02 7.2539966195768784e+02 7.1609620927745425e+02 7.0537795403147504e+02 6.9309367633031616e+02 6.7909065709977074e+02 6.6322501583189376e+02 6.4537144183829514e+02 6.2543476725748826e+02 6.0336331311127242e+02 5.7916337519271599e+02 5.5291351375786780e+02 5.2477710776567778e+02 4.9501082853696806e+02 4.6396675481787219e+02 4.3208573453780588e+02 3.9748428953812328e+02 3.6320280049603321e+02 3.2994439165521959e+02 2.9836524960154253e+02 2.6902000883300724e+02 2.4231851036190611e+02 2.1850123840127921e+02 1.9763682907072842e+02 1.7964049450165919e+02 1.6430687789148965e+02 1.5135142849717570e+02 1.4045376498946811e+02 1.3129347871820553e+02 1.2356827937828862e+02 1.1701385725668079e+02 1.1141208346167252e+02 1.0658656557706603e+02 1.0240007261179846e+02 9.8745889705335159e+01 9.5544494570218646e+01 9.2731881113458428e+01 9.0260928394967578e+01 8.8090674680167751e+01 8.6192010608930232e+01 8.4536786246144942e+01 8.3101532868291798e+01 8.1867730256282016e+01 8.0816097165882880e+01 7.9927454312320450e+01 7.9187393196244614e+01 7.8578256765247488e+01 7.8086000881984020e+01 7.7694834012772120e+01 7.7390408420580059e+01 7.7153590928696318e+01 7.6966025360153026e+01 7.6813153746949922e+01 7.6681604725989786e+01 7.6558959603500639e+01 7.6472658914099696e+01 7.6385672861539021e+01 7.6296982411932163e+01 7.6204112202106870e+01 7.6108313943362020e+01 7.6006917818846631e+01 7.5902890370621549e+01 7.5787596304076516e+01 7.5664204718384369e+01 7.5530444588587997e+01 7.5384542493920208e+01 7.5224343468617406e+01 7.5047419892767735e+01 7.4850372871251821e+01 7.4633189193446839e+01 7.4388249326209007e+01 7.4113626062102824e+01 7.3805334496511776e+01 7.3459086319386060e+01 7.3070459214739373e+01 7.2635017529225777e+01 7.2147941332566944e+01 7.1609498552368350e+01 7.1010822707241729e+01 7.0353735049671101e+01 6.9639756172786576e+01 6.8874486713123986e+01 6.8067455430849250e+01 6.7236798836205324e+01 6.6409583654495563e+01 6.5629651575108767e+01 6.4953077392428952e+01 6.4466687609362708e+01 6.4291807113348156e+01 6.4604503276409062e+01 6.5661240452582319e+01 6.7850645102993042e+01 7.1787976705730387e+01 7.8509275050956177e+01 4.6691062589953383e+00 +2.7911392405063381e+01 7.4068733871028473e+02 7.4054863391862887e+02 7.4040087934926771e+02 7.4018459397383617e+02 7.3991734431333293e+02 7.3964236129940434e+02 7.3938572187684360e+02 7.3910980421265720e+02 7.3876507941986949e+02 7.3832625508125136e+02 7.3778079349504435e+02 7.3711179546012215e+02 7.3629755653931159e+02 7.3531321919483275e+02 7.3413098573629600e+02 7.3271847884393503e+02 7.3103688223659390e+02 7.2904054246124122e+02 7.2667658277846158e+02 7.2388404375735183e+02 7.2059309146922726e+02 7.1672314954770582e+02 7.1216886381177812e+02 7.0674873205715892e+02 7.0024787221453482e+02 6.9257653397081776e+02 6.8367204040929062e+02 6.7341397671211394e+02 6.6165787261796845e+02 6.4825790337377668e+02 6.3307679895657543e+02 6.1599516988580740e+02 5.9692258985869967e+02 5.7581036570306526e+02 5.5266538328670072e+02 5.2756374633134931e+02 5.0066273046185501e+02 4.7220880766455753e+02 4.4253956480310234e+02 4.1207723555203353e+02 3.7902370208813613e+02 3.4628464271411491e+02 3.1453153998946590e+02 2.8439034557251290e+02 2.5638939622724268e+02 2.3091829526903049e+02 2.0820469918640535e+02 1.8831219680665814e+02 1.7115812214637424e+02 1.5654507300412985e+02 1.4420047358161966e+02 1.3381795121517013e+02 1.2509144355540781e+02 1.1773243939563496e+02 1.1148883371269460e+02 1.0615267198925939e+02 1.0155585759356801e+02 9.7567655608032311e+01 9.4086427792328095e+01 9.1036449232914919e+01 8.8356775876220354e+01 8.6002544867816084e+01 8.3934755441683350e+01 8.2125692847188176e+01 8.0548551933621482e+01 7.9180983644460682e+01 7.8005350316586430e+01 7.7003287495051680e+01 7.6156525618810818e+01 7.5451339110313683e+01 7.4870906595467360e+01 7.4401847066656856e+01 7.4029114361083757e+01 7.3739036924196327e+01 7.3513383081488186e+01 7.3334661731010399e+01 7.3189000015871429e+01 7.3063656223968096e+01 7.2946797125023295e+01 7.2864568111608989e+01 7.2781686150603406e+01 7.2697180241571644e+01 7.2608691791077305e+01 7.2517413444010174e+01 7.2420801448423006e+01 7.2321681871200738e+01 7.2211827552918336e+01 7.2094257765759522e+01 7.1966808634709480e+01 7.1827790411305699e+01 7.1675149803837684e+01 7.1506573730795608e+01 7.1318823762384881e+01 7.1111886810851374e+01 7.0878503542497342e+01 7.0616837378882309e+01 7.0323091429011654e+01 6.9993179711812601e+01 6.9622888563104496e+01 6.9207991610752160e+01 6.8743896433943419e+01 6.8230857838977542e+01 6.7660428352365827e+01 6.7034343010083717e+01 6.6354050663354982e+01 6.5624887703764358e+01 6.4855933312061865e+01 6.4064468292274469e+01 6.3276282411711897e+01 6.2533148402425617e+01 6.1888495985130326e+01 6.1425054794418187e+01 6.1258425517131727e+01 6.1556368235337878e+01 6.2563246979171232e+01 6.4649352288464115e+01 6.8400914930012362e+01 7.4805092213628100e+01 4.4390109302361100e+00 +2.7968021319120677e+01 7.0727840747681978e+02 7.0714481769580277e+02 7.0700364705898880e+02 7.0679696910653331e+02 7.0654148663450337e+02 7.0627843828405469e+02 7.0603272349525230e+02 7.0576843918385873e+02 7.0543828010061020e+02 7.0501805563608741e+02 7.0449574921318879e+02 7.0385518143986621e+02 7.0307557734156035e+02 7.0213314302920696e+02 7.0100126867206359e+02 6.9964896293757693e+02 6.9803907195994213e+02 6.9612789782392531e+02 6.9386483129646751e+02 6.9119153038095965e+02 6.8804116406599258e+02 6.8433662729754428e+02 6.7997711268099783e+02 6.7478894610316991e+02 6.6856651460027831e+02 6.6122401592009066e+02 6.5270161841244987e+02 6.4288427035410882e+02 6.3163395406819268e+02 6.1881143232867714e+02 6.0428574644353000e+02 5.8794315315495680e+02 5.6969773725607206e+02 5.4950362981374326e+02 5.2736824182808016e+02 5.0336528121068721e+02 4.7764613464488593e+02 4.5044746562320256e+02 4.2209294956950117e+02 3.9298697419826709e+02 3.6141295487511309e+02 3.3014775276703915e+02 2.9983260947868177e+02 2.7106461352187148e+02 2.4434703196577314e+02 2.2005021283292965e+02 1.9838965039921229e+02 1.7942420585439774e+02 1.6307332502329226e+02 1.4914727223999637e+02 1.3738495794842555e+02 1.2749341822035360e+02 1.1918030501216928e+02 1.1217026650852485e+02 1.0622284536886009e+02 1.0113979183512161e+02 9.6760918613224050e+01 9.2961682061918111e+01 8.9645281043683184e+01 8.6739608104094344e+01 8.4186635831094648e+01 8.1943652027545937e+01 7.9973523674164852e+01 7.8249864277122654e+01 7.6747149664250031e+01 7.5444097390030876e+01 7.4323910577131286e+01 7.3369098264173033e+01 7.2562257760040410e+01 7.1890314265473293e+01 7.1337242807690984e+01 7.0890294421672280e+01 7.0535133383923366e+01 7.0258732686619751e+01 7.0043719988280571e+01 6.9873428786990971e+01 6.9734639331964942e+01 6.9615210127853530e+01 6.9503866003872687e+01 6.9425517912724615e+01 6.9346547766755094e+01 6.9266030350970496e+01 6.9181718371974469e+01 6.9094748176181071e+01 6.9002696165094278e+01 6.8908254538138991e+01 6.8803585113194330e+01 6.8691564370470459e+01 6.8570130564967428e+01 6.8437673700384252e+01 6.8292237395793663e+01 6.8131617741700069e+01 6.7952729250672633e+01 6.7755558978044974e+01 6.7533190877711561e+01 6.7283874769847401e+01 6.7003992968515945e+01 6.6689652342461855e+01 6.6336838103695399e+01 6.5941523356587780e+01 6.5499332525630905e+01 6.5010507935516515e+01 6.4467001454939307e+01 6.3870465957677069e+01 6.3222281913791036e+01 6.2527533850160232e+01 6.1794872430934397e+01 6.1040762844156511e+01 6.0289777720393360e+01 5.9581717788919796e+01 5.8967491587806450e+01 5.8525923837092932e+01 5.8367159199996649e+01 5.8651039677829466e+01 5.9610395880387536e+01 6.1598041469959618e+01 6.5172538503242777e+01 7.1274452007174233e+01 4.2202026705555928e+00 +2.8024650233177972e+01 6.7536157065013242e+02 6.7523287863235976e+02 6.7509802417057961e+02 6.7490052728317198e+02 6.7465630259573504e+02 6.7440467673467049e+02 6.7416942963322890e+02 6.7391629558218085e+02 6.7360009662585480e+02 6.7319769577789964e+02 6.7269757648944233e+02 6.7208424891231869e+02 6.7133782832042948e+02 6.7043553961471071e+02 6.6935191076328817e+02 6.6805727795663859e+02 6.6651607956757005e+02 6.6468649066060004e+02 6.6252007365881036e+02 6.5996099322404677e+02 6.5694529397626036e+02 6.5339919474578130e+02 6.4922624145322288e+02 6.4426025519349116e+02 6.3830449797761321e+02 6.3127694443066719e+02 6.2312048092624400e+02 6.1372518330588775e+02 6.0295920229838543e+02 5.9068959484282709e+02 5.7679142773853994e+02 5.6115634150148878e+02 5.4370271249192683e+02 5.2438734277785704e+02 5.0321810809148963e+02 4.8026638075438393e+02 4.5567786607056325e+02 4.2967979561798381e+02 4.0258249135970243e+02 3.7477323249796046e+02 3.4461330993936883e+02 3.1475639991295907e+02 2.8581484295997865e+02 2.5835817507786038e+02 2.3286576529934882e+02 2.0968964192434743e+02 1.8903376887021790e+02 1.7095258072671052e+02 1.5536762132616985e+02 1.4209654277539050e+02 1.3088927219927800e+02 1.2146567951271170e+02 1.1354652628600680e+02 1.0686902782454241e+02 1.0120384254195456e+02 9.6361977240166297e+01 9.2190785323473733e+01 8.8571623788249852e+01 8.5412300277776708e+01 8.2644153331134873e+01 8.0211933626282459e+01 7.8074977264557390e+01 7.6197930148693601e+01 7.4555670821764437e+01 7.3123895288146144e+01 7.1882337152963643e+01 7.0815000516127583e+01 6.9905226643448287e+01 6.9136438863310502e+01 6.8496182512211121e+01 6.7969191573807066e+01 6.7543319483991738e+01 6.7204907651479246e+01 6.6941543447199720e+01 6.6736673650469996e+01 6.6574417762849507e+01 6.6442178617712571e+01 6.6328386866984914e+01 6.6222299267935909e+01 6.6147650212589312e+01 6.6072408543277845e+01 6.5995692686870456e+01 6.5915361434801511e+01 6.5832497473846075e+01 6.5744791722849556e+01 6.5654808812988662e+01 6.5555081273669558e+01 6.5448349500677566e+01 6.5332649092324502e+01 6.5206446066718115e+01 6.5067876411429665e+01 6.4914840272653208e+01 6.4744397931995323e+01 6.4556536605622100e+01 6.4344667411725638e+01 6.4107122534212920e+01 6.3840455093248409e+01 6.3540955768700918e+01 6.3204799328041091e+01 6.2828149002625665e+01 6.2406835894541111e+01 6.1941090455320555e+01 6.1423245146208757e+01 6.0854874543786408e+01 6.0237293941780969e+01 5.9575347806710269e+01 5.8877278369922472e+01 5.8158773429981139e+01 5.7443245521640129e+01 5.6768615817392437e+01 5.6183389806083333e+01 5.5762670323108125e+01 5.5611401718697209e+01 5.5881879029030543e+01 5.6795939993877141e+01 5.8689740507921172e+01 6.2095470697719428e+01 6.7909287039644767e+01 4.0121305877766353e+00 +2.8081279147235268e+01 6.4487092846217297e+02 6.4474696315341453e+02 6.4461812605893579e+02 6.4442941098522920e+02 6.4419594840884486e+02 6.4395525630884345e+02 6.4373003818937298e+02 6.4348759125075560e+02 6.4318477155022345e+02 6.4279944990887361e+02 6.4232058948587837e+02 6.4173336097524634e+02 6.4101873235314065e+02 6.4015490427732425e+02 6.3911749454281096e+02 6.3787811082572989e+02 6.3640271646490055e+02 6.3465128038091541e+02 6.3257744479041003e+02 6.3012777484376852e+02 6.2724106881316277e+02 6.2384672814735495e+02 6.1985246671302571e+02 6.1509928185320211e+02 6.0939893291139720e+02 6.0267300750425898e+02 5.9486698838627080e+02 5.8587585361208289e+02 5.7557365045574227e+02 5.6383344951625418e+02 5.5053606997267491e+02 5.3557828564513761e+02 5.1888255536249790e+02 5.0040820686926713e+02 4.8016352450478718e+02 4.5821760463970861e+02 4.3471067211498570e+02 4.0986088939217120e+02 3.8396576132142962e+02 3.5739616639291131e+02 3.2858777549893910e+02 3.0007646976865641e+02 2.7244697031616533e+02 2.4624251277668654e+02 2.2191968596463008e+02 1.9981308938265187e+02 1.8011575644575782e+02 1.6287797859041842e+02 1.4802338049350556e+02 1.3537673234392955e+02 1.2469852681967717e+02 1.1572091681401622e+02 1.0817719497122687e+02 1.0181657769002246e+02 9.6420331177886325e+01 9.1808291050797365e+01 8.7834999768199197e+01 8.4387437834015302e+01 8.1377804028388752e+01 7.8740719474597739e+01 7.6423580915922173e+01 7.4387675226081242e+01 7.2599342596395303e+01 7.1034666372852072e+01 6.9670504798949139e+01 6.8487559348451214e+01 6.7470597160818869e+01 6.6603752397301093e+01 6.5871235465951102e+01 6.5261182628186944e+01 6.4759051126259934e+01 6.4353268534671741e+01 6.4030821636136295e+01 6.3779883413429353e+01 6.3584681420929414e+01 6.3430084359365310e+01 6.3304088539115213e+01 6.3195669991927836e+01 6.3094592485840089e+01 6.3023469038369988e+01 6.2951781033602394e+01 6.2878688496309714e+01 6.2802151329835127e+01 6.2723201077702718e+01 6.2639637802217095e+01 6.2553904571089596e+01 6.2458887211144599e+01 6.2357196428304320e+01 6.2246960600169260e+01 6.2126718195165587e+01 6.1994693238752262e+01 6.1848885053753989e+01 6.1686492851869296e+01 6.1507504025863312e+01 6.1305641486070300e+01 6.1079315932333607e+01 6.0825243282566404e+01 6.0539889409672085e+01 6.0219609748767830e+01 5.9860748744133609e+01 5.9459334480319221e+01 5.9015586114840232e+01 5.8522198825759538e+01 5.7980672576521144e+01 5.7392260540581304e+01 5.6761578379514191e+01 5.6096479041584352e+01 5.5411909384610865e+01 5.4730176235823002e+01 5.4087409356764780e+01 5.3529823827808208e+01 5.3128975117206600e+01 5.2984851080653222e+01 5.3242553645517845e+01 5.4113443092842381e+01 5.5917798566272403e+01 5.9162674734066520e+01 6.4701901696126413e+01 3.8142705288560319e+00 +2.8137908061292563e+01 6.1574345461538519e+02 6.1562402347064506e+02 6.1550095153180575e+02 6.1532062533384703e+02 6.1509745597099072e+02 6.1486722754318214e+02 6.1465161709660924e+02 6.1441941339931338e+02 6.1412941580526513e+02 6.1376045951543745e+02 6.1330196784907162e+02 6.1273974424133348e+02 6.1205557341874544e+02 6.1122859051700266e+02 6.1023545719068750e+02 6.0904899888870057e+02 6.0763663943601284e+02 6.0596006577734397e+02 6.0397491187701610e+02 6.0163004163137771e+02 5.9886689007716802e+02 5.9561790591953593e+02 5.9179479337025111e+02 5.8724542041726420e+02 5.8178968189971329e+02 5.7535262153955932e+02 5.6788220218056938e+02 5.5927808848912116e+02 5.4941996421770455e+02 5.3818664542042666e+02 5.2546444272497990e+02 5.1115502422257896e+02 4.9518473205757289e+02 4.7751528184912149e+02 4.5815531443894656e+02 4.3717170924265668e+02 4.1469940508003043e+02 3.9094784478831133e+02 3.6620223162012610e+02 3.4081772265733417e+02 3.1330102823538618e+02 2.8607539209584638e+02 2.5969914178529274e+02 2.3469040880588977e+02 2.1148406815886634e+02 1.9039813891827663e+02 1.7161529343615035e+02 1.5518194682019544e+02 1.4102378440994937e+02 1.2897243362307637e+02 1.1879851931420063e+02 1.1024594954557334e+02 1.0305999454327973e+02 9.7001330873826205e+01 9.1861347482828393e+01 8.7468300586906878e+01 8.3683586281158938e+01 8.0399544333895790e+01 7.7532557201976573e+01 7.5020372864813822e+01 7.2812908329389984e+01 7.0873308321654278e+01 6.9169526683945122e+01 6.7678794176925990e+01 6.6379076076362708e+01 6.5251995810387470e+01 6.4283047403538603e+01 6.3457120426143540e+01 6.2759175247525121e+01 6.2177911208986224e+01 6.1699474779540338e+01 6.1312840725658582e+01 6.1005610923661031e+01 6.0766516537371942e+01 6.0580529331264181e+01 6.0433232110834275e+01 6.0313186905971790e+01 6.0209889603323511e+01 6.0113587222290889e+01 6.0045824023194868e+01 5.9977523004017421e+01 5.9907883838349051e+01 5.9834962799846799e+01 5.9759742687963708e+01 5.9680127584823879e+01 5.9598444719085052e+01 5.9507916612529051e+01 5.9411030377654782e+01 5.9306002819643354e+01 5.9191441459078050e+01 5.9065654229928626e+01 5.8926734980116912e+01 5.8772015330398389e+01 5.8601482863999550e+01 5.8409157628221315e+01 5.8193525169599866e+01 5.7951456567723653e+01 5.7679584671345843e+01 5.7374437109238706e+01 5.7032531038964557e+01 5.6650082284042533e+01 5.6227299258799739e+01 5.5757222815460459e+01 5.5241281816898123e+01 5.4680670229705058e+01 5.4079785642330741e+01 5.3446109978800145e+01 5.2793883909269944e+01 5.2144360411224277e+01 5.1531961879027278e+01 5.1000720386486812e+01 5.0618810431455891e+01 5.0481495850349866e+01 5.0727022853995678e+01 5.1556765696462513e+01 5.3275871449495114e+01 5.6367438267774723e+01 6.1644955172477474e+01 3.6261237899419787e+00 +2.8194536975349859e+01 5.8791887070044208e+02 5.8780379834284611e+02 5.8768622961902565e+02 5.8751392619935973e+02 5.8730060349035352e+02 5.8708038828060876e+02 5.8687398121323270e+02 5.8665159521960402e+02 5.8637388536908281e+02 5.8602060989258644e+02 5.8558163349824031e+02 5.8504336570755061e+02 5.8438837355761007e+02 5.8359668708412744e+02 5.8264596774992003e+02 5.8151020729435572e+02 5.8015822822793336e+02 5.7855336284065470e+02 5.7665315246926912e+02 5.7440866225391528e+02 5.7176385198812648e+02 5.6865408793858364e+02 5.6499489450639442e+02 5.6064071753052349e+02 5.5541924066815454e+02 5.4925881356027742e+02 5.4210976797531669e+02 5.3387624892080612e+02 5.2444332785393124e+02 5.1369530985235622e+02 5.0152374770096861e+02 4.8783497566077023e+02 4.7255902952107033e+02 4.5565988212345781e+02 4.3714648248411874e+02 4.1708355135540097e+02 3.9560092968289644e+02 3.7289967731611756e+02 3.4925319137240047e+02 3.2500155943866798e+02 2.9871933898467131e+02 2.7272207176742410e+02 2.4754286422160439e+02 2.2367588646969261e+02 2.0153531701179674e+02 1.8142340229980081e+02 1.6351299415038497e+02 1.4784688246332649e+02 1.3435279035454309e+02 1.2286895022638909e+02 1.1317570282422390e+02 1.0502820569098634e+02 9.8183177130644623e+01 9.2412236961295378e+01 8.7516433699213010e+01 8.3332054601019649e+01 7.9727029461159347e+01 7.6598805364781342e+01 7.3867750697162890e+01 7.1474591890011396e+01 6.9371646344057879e+01 6.7523828108555790e+01 6.5900627847335642e+01 6.4480369060605923e+01 6.3242071452054851e+01 6.2168236652012901e+01 6.1245051116098367e+01 6.0458124096110943e+01 5.9793130541890108e+01 5.9239306331421588e+01 5.8783454718129860e+01 5.8415071968321413e+01 5.8122346181450091e+01 5.7894540546227766e+01 5.7717336171208260e+01 5.7576996503104247e+01 5.7462622821629076e+01 5.7364206528537437e+01 5.7272455239903572e+01 5.7207894626208805e+01 5.7142821671661373e+01 5.7076473840274744e+01 5.7006999255147036e+01 5.6935334259191585e+01 5.6859482069432914e+01 5.6781659532079736e+01 5.6695410035957153e+01 5.6603102912153020e+01 5.6503039244149065e+01 5.6393892364792151e+01 5.6274050179449837e+01 5.6141696625706984e+01 5.5994289516535005e+01 5.5831816637554148e+01 5.5648581201753686e+01 5.5443140102804179e+01 5.5212512301737888e+01 5.4953489788207243e+01 5.4662764305194074e+01 5.4337017619360246e+01 5.3972644480226798e+01 5.3569843083126187e+01 5.3121983706667784e+01 5.2630427461171372e+01 5.2096311884560947e+01 5.1523826724325609e+01 5.0920100289288456e+01 5.0298700197164941e+01 4.9679875020417462e+01 4.9096419916858331e+01 4.8590286357844604e+01 4.8226426522559116e+01 4.8095601882585171e+01 4.8329524620226536e+01 4.9120051520616038e+01 5.0757907601719026e+01 5.3703358575427437e+01 5.8731445274916688e+01 3.4472158882384982e+00 +2.8251165889407154e+01 5.6133952669608448e+02 5.6122864641202852e+02 5.6111633335522890e+02 5.6095170467328353e+02 5.6074779742487590e+02 5.6053716547120575e+02 5.6033957422035326e+02 5.6012659773099097e+02 5.5986066315010760e+02 5.5952241207790416e+02 5.5910213262164643e+02 5.5858681482647194e+02 5.5795977503980782e+02 5.5720190025562204e+02 5.5629180953572154e+02 5.5520461156681506e+02 5.5391046831068616e+02 5.5237428775460489e+02 5.5055543774513205e+02 5.4840709123483487e+02 5.4587562544694470e+02 5.4289919994772640e+02 5.3939699631242922e+02 5.3522975771850338e+02 5.3023262449786478e+02 5.2433710844856023e+02 5.1749580399670856e+02 5.0961713916135363e+02 5.0059133513793205e+02 4.9030794086340046e+02 4.7866351312179575e+02 4.6556883467751317e+02 4.5095745434116122e+02 4.3479547831378915e+02 4.1709211901176911e+02 3.9790999605883985e+02 3.7737403454514674e+02 3.5567723556259836e+02 3.3308166624287804e+02 3.0991297027240142e+02 2.8481050169235920e+02 2.5998682277571646e+02 2.3595094017429787e+02 2.1317415425223712e+02 1.9205091744422910e+02 1.7286847272593502e+02 1.5579036442656235e+02 1.4085599352568082e+02 1.2799509561951726e+02 1.1705226423060647e+02 1.0781715616297170e+02 1.0005569397497413e+02 9.3535537517324428e+01 8.8038755906154222e+01 8.3375614976566069e+01 7.9390061276570577e+01 7.5956253141525309e+01 7.2976504755013352e+01 7.0374981944925736e+01 6.8095248174089846e+01 6.6091907021970059e+01 6.4331557517394018e+01 6.2785153946146423e+01 6.1432060458673149e+01 6.0252301063207113e+01 5.9229213901318495e+01 5.8349645026359120e+01 5.7599889321591647e+01 5.6966302593168606e+01 5.6438631954446883e+01 5.6004306516170530e+01 5.5653319549738001e+01 5.5374417851535632e+01 5.5157371694930454e+01 5.4988538287382880e+01 5.4854829808976156e+01 5.4745861548361106e+01 5.4652097212959710e+01 5.4564683414825666e+01 5.4503175064731067e+01 5.4441178653821723e+01 5.4377967664613656e+01 5.4311777759128823e+01 5.4243501004681278e+01 5.4171235096013277e+01 5.4097091698448878e+01 5.4014919978371339e+01 5.3926977026028439e+01 5.3831644247395488e+01 5.3727657698356374e+01 5.3613481501940285e+01 5.3487385456723352e+01 5.3346947640375994e+01 5.3192156051489739e+01 5.3017583749340879e+01 5.2821855637639210e+01 5.2602131617491217e+01 5.2355355349523343e+01 5.2078374987432937e+01 5.1768029180520543e+01 5.1420883201602336e+01 5.1037125525922583e+01 5.0610440368560134e+01 5.0142124279085074e+01 4.9633261015257879e+01 4.9087842239509222e+01 4.8512659243779666e+01 4.7920638185804741e+01 4.7331070375278607e+01 4.6775200132171683e+01 4.6292995962426758e+01 4.5946338989849778e+01 4.5821699654875481e+01 4.6044562819734963e+01 4.6797714540503620e+01 4.8358134737924630e+01 5.1164328410484785e+01 5.5954692951158918e+01 3.2770953927378725e+00 +2.8307794803464450e+01 5.3595029678949584e+02 5.3584344669567020e+02 5.3573616477166638e+02 5.3557886400400355e+02 5.3538396095131122e+02 5.3518250244299077e+02 5.3499335529060295e+02 5.3478939664383620e+02 5.3453474586586924e+02 5.3421088978811520e+02 5.3380852266857414e+02 5.3331519057156106e+02 5.3271492751287838e+02 5.3198944109501701e+02 5.3111826752531613e+02 5.3007758514633122e+02 5.2883883860533683e+02 5.2736844483882851e+02 5.2562752071607770e+02 5.2357125746943689e+02 5.2114834691663316e+02 5.1829962286913076e+02 5.1494776790920844e+02 5.1095955381363729e+02 5.0617725938514957e+02 5.0053542096603002e+02 4.9398879406689815e+02 4.8644990094212625e+02 4.7781388491060818e+02 4.6797530438169963e+02 4.5683549262273834e+02 4.4430947320998143e+02 4.3033413597115953e+02 4.1487760305986143e+02 3.9794930885037348e+02 3.7960982857014039e+02 3.5997934751818713e+02 3.3924312027330490e+02 3.1765234154533033e+02 2.9551881142077411e+02 2.7154376548722860e+02 2.4784130515262518e+02 2.2489740966774315e+02 2.0316155237053673e+02 1.8300938530973073e+02 1.6471388028570183e+02 1.4842976107006427e+02 1.3419326200210909e+02 1.2193610372408165e+02 1.1150900516867796e+02 1.0271055520423008e+02 9.5316977300088041e+01 8.9106388320118128e+01 8.3870834686859396e+01 7.9429377287205853e+01 7.5633267221304592e+01 7.2362600310166798e+01 6.9524328806549590e+01 6.7046236327980225e+01 6.4874588605023121e+01 6.2966166571316158e+01 6.1289173880517467e+01 5.9815958701103732e+01 5.8526876208557745e+01 5.7402906957842049e+01 5.6428185874999215e+01 5.5590187323425383e+01 5.4875859366941938e+01 5.4272206523517035e+01 5.3769463024558945e+01 5.3355654357112442e+01 5.3021247443629512e+01 5.2755521534337127e+01 5.2548730207048656e+01 5.2387875068496513e+01 5.2260486608798473e+01 5.2156670056501653e+01 5.2067339293941430e+01 5.1984059333586004e+01 5.1925459927619059e+01 5.1866395597765283e+01 5.1806174155418958e+01 5.1743114691827934e+01 5.1678067078191859e+01 5.1609219046794848e+01 5.1538582040151837e+01 5.1460296617317773e+01 5.1376512909608891e+01 5.1285688873807516e+01 5.1186620343488471e+01 5.1077844080518794e+01 5.0957711712724148e+01 5.0823915931541947e+01 5.0676444957289952e+01 5.0510128998125708e+01 5.0323657785663301e+01 5.0114325542857365e+01 4.9879220479468671e+01 4.9615339815376217e+01 4.9319671715744803e+01 4.8988943965902259e+01 4.8623335795419088e+01 4.8216830589055284e+01 4.7770663378062629e+01 4.7285866665321159e+01 4.6766243329507049e+01 4.6218263470768534e+01 4.5654241907705341e+01 4.5092557633570287e+01 4.4562976969333420e+01 4.4103578545573129e+01 4.3773316647148256e+01 4.3654572172416991e+01 4.3866895083867121e+01 4.4584426637730608e+01 4.6071047079181263e+01 4.8744522497566649e+01 5.3308327520374078e+01 3.1153328110206489e+00 +2.8364423717521746e+01 5.1169847331917686e+02 5.1159549309729988e+02 5.1149301533741266e+02 5.1134272348570687e+02 5.1115642962513840e+02 5.1096375015120822e+02 5.1078269056496157e+02 5.1058737401828768e+02 5.1034353572036025e+02 5.1003347114307212e+02 5.0964826412906967e+02 5.0917599328224196e+02 5.0860137993704848e+02 5.0790691748445926e+02 5.0707302051447107e+02 5.0607689169892592e+02 5.0489120396912915e+02 5.0348381924785770e+02 5.0181752917247462e+02 4.9984945746789890e+02 4.9753051201475040e+02 4.9480408681023351e+02 4.9159621584028218e+02 4.8777944203270346e+02 4.8320287781888283e+02 4.7780395236977625e+02 4.7153948518916616e+02 4.6432591218700554e+02 4.5606308109297845e+02 4.4665033571841781e+02 4.3599356847716496e+02 4.2401184558649516e+02 4.1064523410613646e+02 3.9586376086933370e+02 3.7967704389597355e+02 3.6214366990432012e+02 3.4337925467579720e+02 3.2356160695456259e+02 3.0293148869892593e+02 2.8178743239236030e+02 2.5888976974250863e+02 2.3625846467260004e+02 2.1435749455943213e+02 1.9361550170387031e+02 1.7439022071816345e+02 1.5694104941327438e+02 1.4141435311470082e+02 1.2784340857093945e+02 1.1616189215254306e+02 1.0622642042344761e+02 9.7844145565533694e+01 9.0801147384611255e+01 8.4885536289595962e+01 7.9898885019158058e+01 7.5668646341733009e+01 7.2053037410889175e+01 6.8937813937358726e+01 6.6234347888011612e+01 6.3873869440088903e+01 6.1805218175535430e+01 5.9987248696186533e+01 5.8389692727835801e+01 5.6986225880392979e+01 5.5758147077963599e+01 5.4687347918611366e+01 5.3758722259191039e+01 5.2960342958650266e+01 5.2279780335032022e+01 5.1704656980035949e+01 5.1225671255333438e+01 5.0831416920844688e+01 5.0512812285882767e+01 5.0259644034130794e+01 5.0062626374140137e+01 4.9909375087306771e+01 4.9788009965739185e+01 4.9689103227241887e+01 4.9603997827190909e+01 4.9524657541595566e+01 4.9468830439135047e+01 4.9412560459961355e+01 4.9355188133527626e+01 4.9295112062106313e+01 4.9233141903133330e+01 4.9167551193484705e+01 4.9100255879018150e+01 4.9025674198119994e+01 4.8945854358349344e+01 4.8859327271442680e+01 4.8764945740746491e+01 4.8661315754727539e+01 4.8546866926674959e+01 4.8419401174235531e+01 4.8278906947100047e+01 4.8120459497849289e+01 4.7942810351551302e+01 4.7743381743404989e+01 4.7519399642190940e+01 4.7268003331681726e+01 4.6986323469572000e+01 4.6671242716273653e+01 4.6322931507226876e+01 4.5935658319581911e+01 4.5510599566234873e+01 4.5048738902699313e+01 4.4553699291908380e+01 4.4031644729845844e+01 4.3494307412935292e+01 4.2959196870061923e+01 4.2454670866516565e+01 4.2017006910568533e+01 4.1702369943079226e+01 4.1589243419557398e+01 4.1791521195213932e+01 4.2475105806165857e+01 4.3891393165038025e+01 4.6438384637742850e+01 5.0786272571281536e+01 2.9615195294549683e+00 +2.8421052631579041e+01 4.8853363194887021e+02 4.8843437678336039e+02 4.8833649144866422e+02 4.8819290198629363e+02 4.8801484165144456e+02 4.8783056229973806e+02 4.8765724939534954e+02 4.8747021451136885e+02 4.8723673668106659e+02 4.8693988498180852e+02 4.8657111690170933e+02 4.8611902109554489e+02 4.8556897709772971e+02 4.8490423074103529e+02 4.8410603785083021e+02 4.8315258198838052e+02 4.8201771223853365e+02 4.8067067421540196e+02 4.7907586317337530e+02 4.7719225313071126e+02 4.7497287362619676e+02 4.7236356957412670e+02 4.6929358305294619e+02 4.6564098151735828e+02 4.6126141899904934e+02 4.5609509142543840e+02 4.5010078949738994e+02 4.4319869004044909e+02 4.3529313696926107e+02 4.2628804529197151e+02 4.1609365896243770e+02 4.0463289776177351e+02 3.9184885003761497e+02 3.7771334184951803e+02 3.6223613949234715e+02 3.4547389617997089e+02 3.2753782282259567e+02 3.0859857184289865e+02 2.8888689489537234e+02 2.6868860950663839e+02 2.4682048199299587e+02 2.2521247522049484e+02 2.0430754536775393e+02 1.8451445499892705e+02 1.6617386344516075e+02 1.4953225825249604e+02 1.3472808482449702e+02 1.2179185888042059e+02 1.1065918154977756e+02 1.0119234696043476e+02 9.3206716526140156e+01 8.6497800548686882e+01 8.0863259682738573e+01 7.6113762077636721e+01 7.2084767458062402e+01 6.8641136039508723e+01 6.5674018671260811e+01 6.3098998860800002e+01 6.0850590147698668e+01 5.8880083599857329e+01 5.7148308699454134e+01 5.5626452315472974e+01 5.4289454201272392e+01 5.3119511991679232e+01 5.2099384973103071e+01 5.1214689864842839e+01 5.0454069611432864e+01 4.9805687312292427e+01 4.9257754431304420e+01 4.8801411549161202e+01 4.8425793910021476e+01 4.8122249984091368e+01 4.7881050035080527e+01 4.7693347284028306e+01 4.7547342868792803e+01 4.7431718226315752e+01 4.7337490679304501e+01 4.7256412135752640e+01 4.7180826413147400e+01 4.7127641343815746e+01 4.7074034406178775e+01 4.7019377311932615e+01 4.6962144438678912e+01 4.6903107120127565e+01 4.6840620662324611e+01 4.6776510019349985e+01 4.6705458036182840e+01 4.6629415796542759e+01 4.6546983738931338e+01 4.6457068959298510e+01 4.6358343419687451e+01 4.6249311054226126e+01 4.6127877870765715e+01 4.5994032554383772e+01 4.5843083863568950e+01 4.5673842223103762e+01 4.5483851865064281e+01 4.5270470043662975e+01 4.5030971430872441e+01 4.4762622480936166e+01 4.4462453448204919e+01 4.4130626403599855e+01 4.3761681496760083e+01 4.3356739286598568e+01 4.2916736876742966e+01 4.2445125768622475e+01 4.1947778238346707e+01 4.1435871238417526e+01 4.0926085687560423e+01 4.0445437000440542e+01 4.0028486179271873e+01 3.9728739905093413e+01 3.9620967334016129e+01 3.9813672008152906e+01 4.0464904891094193e+01 4.1814164217443484e+01 4.4240615397098132e+01 4.8382732497634599e+01 2.8152668042527327e+00 +2.8477681545636337e+01 4.6640758337319448e+02 4.6631191011432026e+02 4.6621840892833131e+02 4.6608122361445550e+02 4.6591103971104735e+02 4.6573479781218629e+02 4.6556890503250611e+02 4.6538980601557654e+02 4.6516625515431974e+02 4.6488206157779985e+02 4.6452904105674514e+02 4.6409627077358437e+02 4.6356976051067028e+02 4.6293347661503452e+02 4.6216948054865458e+02 4.6125689513132789e+02 4.6017069564753416e+02 4.5888145266969735e+02 4.5735509689006585e+02 4.5555237386404087e+02 4.5342834434353830e+02 4.5093119948029334e+02 4.4799325216988353e+02 4.4449785814568367e+02 4.4030693329531590e+02 4.3536331963932156e+02 4.2962769038362507e+02 4.2302379804019921e+02 4.1546028355796483e+02 4.0684542837774632e+02 3.9709362969018503e+02 3.8613148045012457e+02 3.7390494181540504e+02 3.6038753915458659e+02 3.4558915442223861e+02 3.2956456141981482e+02 3.1242072536502684e+02 2.9432142109666984e+02 2.7548779583868298e+02 2.5619348237192827e+02 2.3530913858569818e+02 2.1467868370634258e+02 1.9472499045815974e+02 1.7583785024816228e+02 1.5834165033683030e+02 1.4247059984338594e+02 1.2835564036251813e+02 1.1602471135562210e+02 1.0541530630782988e+02 9.6395184338376751e+01 8.8787576125953308e+01 8.2397014596417208e+01 7.7030286661430907e+01 7.2506744180601075e+01 6.8669486341893546e+01 6.5389708237802040e+01 6.2563703361687089e+01 6.0111068300700857e+01 5.7969444418436453e+01 5.6092457672191756e+01 5.4442818305149665e+01 5.2993098854577013e+01 5.1719442914743617e+01 5.0604903927154282e+01 4.9633067559875208e+01 4.8790239028001515e+01 4.8065604290318504e+01 4.7447891141077832e+01 4.6925872083979527e+01 4.6491109034418230e+01 4.6133253185747911e+01 4.5844062933477339e+01 4.5614269380756184e+01 4.5435444149581635e+01 4.5296346258037310e+01 4.5186192418494251e+01 4.5096424192021658e+01 4.5019183254941971e+01 4.4947175616242994e+01 4.4896508385426927e+01 4.4845439304563818e+01 4.4793369803162292e+01 4.4738846472867777e+01 4.4682604125514857e+01 4.4623075989249351e+01 4.4562000320084209e+01 4.4494312108095876e+01 4.4421869888552912e+01 4.4343340358284216e+01 4.4257682353789164e+01 4.4163630709315704e+01 4.4059760186071330e+01 4.3944075985687483e+01 4.3816567033816135e+01 4.3672764595462276e+01 4.3511535236033573e+01 4.3330539449492107e+01 4.3127259603991021e+01 4.2899099395221789e+01 4.2643454690377993e+01 4.2357496396401110e+01 4.2041378628270039e+01 4.1689900415583963e+01 4.1304129098055668e+01 4.0884957415676375e+01 4.0435673468595134e+01 3.9961871526332366e+01 3.9474199398665263e+01 3.8988548343227578e+01 3.8530654540329664e+01 3.8133443156908001e+01 3.7847887584135826e+01 3.7745217280095865e+01 3.7928798870893701e+01 3.8549200838100425e+01 3.9834583031068668e+01 4.2146160352424893e+01 4.6092179643952562e+01 2.6762048009602926e+00 +2.8534310459693632e+01 4.4527423687360101e+02 4.4518200194130617e+02 4.4509269527736166e+02 4.4496162893873355e+02 4.4479897619067083e+02 4.4463042499599516e+02 4.4447163937955906e+02 4.4430014450264457e+02 4.4408610487999294e+02 4.4381403756957218e+02 4.4347610181918071e+02 4.4306184274059689e+02 4.4255787353617541e+02 4.4194885049579824e+02 4.4121760660317659e+02 4.4034416404118764e+02 4.3930457643096338e+02 4.3807068302120172e+02 4.3660988461829965e+02 4.3488462285903739e+02 4.3285190305611650e+02 4.3046216232406437e+02 4.2765065288126874e+02 4.2430579244168780e+02 4.2029549078088564e+02 4.1556512052894499e+02 4.1007715263444260e+02 4.0375875725119170e+02 3.9652268190070771e+02 3.8828137872603014e+02 3.7895320874342332e+02 3.6846826598320246e+02 3.5677524306197137e+02 3.4384926999260495e+02 3.2970031435534639e+02 3.1438132369487784e+02 2.9799517140371415e+02 2.8069902307525751e+02 2.6270481142634907e+02 2.4427449315047707e+02 2.2433018794564171e+02 2.0463355741708031e+02 1.8558828748818837e+02 1.6756606614729699e+02 1.5087577461983417e+02 1.3573994505223601e+02 1.2228241004923413e+02 1.1052870645788973e+02 1.0041818648271055e+02 9.1823868941855210e+01 8.4576527393156979e+01 7.8489326746167478e+01 7.3377774669142156e+01 6.9069513395784710e+01 6.5414930738870922e+01 6.2291262619007661e+01 5.9599704375835842e+01 5.7263676479130027e+01 5.5223799881715735e+01 5.3435924332985842e+01 5.1864551168007196e+01 5.0483572408679173e+01 4.9270278043349755e+01 4.8208536448907310e+01 4.7282720320788997e+01 4.6479790625501494e+01 4.5789450540938795e+01 4.5200965790614561e+01 4.4703643391923201e+01 4.4289446689473984e+01 4.3948518485976820e+01 4.3673007811611399e+01 4.3454084929633687e+01 4.3283720211685171e+01 4.3151204359669364e+01 4.3046264220676612e+01 4.2960745698060400e+01 4.2887161945247364e+01 4.2818564145039723e+01 4.2770296352774487e+01 4.2721645784929095e+01 4.2672042192742971e+01 4.2620100986589890e+01 4.2566522174182353e+01 4.2509813238378555e+01 4.2451629829817918e+01 4.2387147204535658e+01 4.2318135710871488e+01 4.2243325188251802e+01 4.2161723780365634e+01 4.2072126237229682e+01 4.1973174816351353e+01 4.1862969245514158e+01 4.1741498694758050e+01 4.1604506450775389e+01 4.1450912588699651e+01 4.1278488397020155e+01 4.1084835474295005e+01 4.0867480472432788e+01 4.0623942585760339e+01 4.0351526756574401e+01 4.0050379532674867e+01 3.9715546628969648e+01 3.9348044677468948e+01 3.8948724140656047e+01 3.8520717401466548e+01 3.8069353796300383e+01 3.7604776875583873e+01 3.7142125367547337e+01 3.6705916388881796e+01 3.6327516178889447e+01 3.6055483977120922e+01 3.5957675998500982e+01 3.6132563526266999e+01 3.6723584429086493e+01 3.7948093366945315e+01 4.0150198869482907e+01 4.3909342032586089e+01 2.5439816800756483e+00 +2.8590939373750928e+01 4.2508951380347696e+02 4.2500059082264335e+02 4.2491529060558128e+02 4.2479007463171155e+02 4.2463462342305479e+02 4.2447342994098153e+02 4.2432145172055260e+02 4.2415724291487311e+02 4.2395231585972550e+02 4.2369186492746616e+02 4.2336837858422587e+02 4.2297185015706748e+02 4.2248947052598777e+02 4.2190655664550974e+02 4.2120668033058115e+02 4.2037072489750238e+02 4.1937577644267822e+02 4.1819488896396678e+02 4.1679687079404971e+02 4.1514578735681056e+02 4.1320050551701297e+02 4.1091361229303664e+02 4.0822317327888123e+02 4.0502245140761767e+02 4.0118509366407005e+02 3.9665889276723181e+02 3.9140803639904510e+02 3.8536296119535086e+02 3.7844033910312896e+02 3.7055660587608224e+02 3.6163390544741600e+02 3.5160566874609299e+02 3.4042318528125662e+02 3.2806310003516739e+02 3.1453543860684334e+02 2.9989137447131537e+02 2.8422983790901981e+02 2.6770164357242987e+02 2.5050988424600661e+02 2.3290532849078528e+02 2.1385923634233123e+02 1.9505463369947560e+02 1.7687687700923843e+02 1.5968037954133368e+02 1.4375924703460615e+02 1.2932490716729791e+02 1.1649445814163799e+02 1.0529119733309376e+02 9.5656300981267307e+01 8.7467849381089792e+01 8.0563845648093761e+01 7.4765712560965440e+01 6.9897290743050149e+01 6.5794137025409540e+01 6.2313592917636122e+01 5.9338654616212679e+01 5.6775189670003144e+01 5.4550262070610742e+01 5.2607331089264235e+01 5.0904364412482096e+01 4.9407569039531893e+01 4.8092093430625354e+01 4.6936319242093191e+01 4.5924890852803102e+01 4.5042930492090711e+01 4.4278023679384411e+01 4.3620366233313611e+01 4.3059736300681649e+01 4.2585950131292392e+01 4.2191353527221494e+01 4.1866557700631247e+01 4.1604083926412123e+01 4.1395520960950229e+01 4.1233219190142783e+01 4.1106976024028931e+01 4.1007004475536817e+01 4.0925535820160633e+01 4.0855437249015012e+01 4.0790088894440615e+01 4.0744107667377222e+01 4.0697761839522435e+01 4.0650508152906468e+01 4.0601027599836996e+01 4.0549987021419632e+01 4.0495964659238801e+01 4.0440537459229880e+01 4.0379109620077323e+01 4.0313367460617137e+01 4.0242100992318377e+01 4.0164365346691405e+01 4.0079012370769000e+01 3.9984748643250519e+01 3.9879763968255354e+01 3.9764047763317969e+01 3.9633545342389183e+01 3.9487227781748011e+01 3.9322971952285677e+01 3.9138493074048661e+01 3.8931434970896177e+01 3.8699434362618490e+01 3.8439923918535406e+01 3.8153042989250906e+01 3.7834072350554258e+01 3.7483980320519024e+01 3.7103577073014037e+01 3.6695846599083801e+01 3.6265865765163248e+01 3.5823297584213606e+01 3.5382563653729648e+01 3.4967019387912075e+01 3.4606545417273338e+01 3.4347400406358439e+01 3.4254226011858364e+01 3.4420828470847155e+01 3.4983850483225460e+01 3.6150349826949459e+01 3.8248133389653901e+01 4.1829191647608631e+01 2.4182627265932997e+00 +2.8647568287808223e+01 4.0581128134397113e+02 4.0572554260044802e+02 4.0564407163774291e+02 4.0552444934130034e+02 4.0537588462550815e+02 4.0522172982452946e+02 4.0507627149864834e+02 4.0491904392701895e+02 4.0472284715808337e+02 4.0447352379342027e+02 4.0416387780316461e+02 4.0378433186175869e+02 4.0332262983373442e+02 4.0276472129661829e+02 4.0209488556751757e+02 4.0129483046509546e+02 4.0034263062154400e+02 3.9921250311415167e+02 3.9787460383507732e+02 3.9629455273820776e+02 3.9443299871639135e+02 3.9224458668214544e+02 3.8967007497236040e+02 3.8660736411851883e+02 3.8293559245808547e+02 3.7860486703213292e+02 3.7358101484168327e+02 3.6779759442654330e+02 3.6117502797222238e+02 3.5363355601964832e+02 3.4509893263429359e+02 3.3550776903004021e+02 3.2481382351340045e+02 3.1299517109881759e+02 3.0006187006445208e+02 2.8606337102261620e+02 2.7109480484710730e+02 2.5530088387475701e+02 2.3887622076481560e+02 2.2206086401209527e+02 2.0387299605079446e+02 1.8592047187234940e+02 1.6857113813425346e+02 1.5216292477004220e+02 1.3697585870994180e+02 1.2321080808599311e+02 1.1097849206486282e+02 1.0030012178603164e+02 9.1118661961932972e+01 8.3317063006174124e+01 7.6740256837239812e+01 7.1217565834835781e+01 6.6580792719373136e+01 6.2673049931152264e+01 5.9358312948199455e+01 5.6525070575495640e+01 5.4083643583690716e+01 5.1964567553603274e+01 5.0114005443678806e+01 4.8491942020049770e+01 4.7066208561381458e+01 4.5813149909124178e+01 4.4712187255182037e+01 4.3748703893378391e+01 4.2908535866682548e+01 4.2179863523125810e+01 4.1553351903065810e+01 4.1019267271413682e+01 4.0567911016409042e+01 4.0191993315734862e+01 3.9882571678011175e+01 3.9632522092282876e+01 3.9433832106284648e+01 3.9279214258453493e+01 3.9158948855513763e+01 3.9063712225150091e+01 3.8986102927915702e+01 3.8919325565617505e+01 3.8857073752910075e+01 3.8813271488420547e+01 3.8769121940441352e+01 3.8724107572872420e+01 3.8676971874219610e+01 3.8628350080107502e+01 3.8576887858177898e+01 3.8524087167545645e+01 3.8465570355970321e+01 3.8402943675554702e+01 3.8335054478212029e+01 3.8261002671948347e+01 3.8179694513848759e+01 3.8089897876878517e+01 3.7989888399696341e+01 3.7879655749501687e+01 3.7755337740805452e+01 3.7615954059187835e+01 3.7459482189285232e+01 3.7283745625494980e+01 3.7086499849525723e+01 3.6865493575854423e+01 3.6618281187344614e+01 3.6344995189278407e+01 3.6041140337796989e+01 3.5707638918605966e+01 3.5345262712865591e+01 3.4956854302983594e+01 3.4547249966768511e+01 3.4125654793712940e+01 3.3705806996372978e+01 3.3309954968344101e+01 3.2966563627187455e+01 3.2719699334995802e+01 3.2630940465146232e+01 3.2789647750565479e+01 3.3325988502398125e+01 3.4437208186928757e+01 3.6435579202446810e+01 3.9846933249637466e+01 2.2987295213817793e+00 +2.8704197201865519e+01 3.8739925796308574e+02 3.8731657927777593e+02 3.8723876403154827e+02 3.8712449073653403e+02 3.8698250737071419e+02 3.8683508948294860e+02 3.8669587498123002e+02 3.8654533642365618e+02 3.8635750341142341e+02 3.8611883902631087e+02 3.8582244957987456e+02 3.8545916902156239e+02 3.8501727053168480e+02 3.8448330944671505e+02 3.8384224256345851e+02 3.8307656710395128e+02 3.8216530414259665e+02 3.8108378432714511e+02 3.7980345365756227e+02 3.7829142027076119e+02 3.7651003890947641e+02 3.7441592424742089e+02 3.7195241182484779e+02 3.6902184091651748e+02 3.6550860573108730e+02 3.6136502641460112e+02 3.5655849530825475e+02 3.5102555458560926e+02 3.4469021009859074e+02 3.3747633625740696e+02 3.2931313224536200e+02 3.2014024016711653e+02 3.0991376519805971e+02 2.9861313194598097e+02 2.8624840815252662e+02 2.7286737177656966e+02 2.5856149313227149e+02 2.4346962152800847e+02 2.2777823509648479e+02 2.1171711123186495e+02 1.9434923580073666e+02 1.7721060727023695e+02 1.6065234617566759e+02 1.4499665483059900e+02 1.3051014570316815e+02 1.1738364602400684e+02 1.0572183303261787e+02 9.5543975522114891e+01 8.6794790394820453e+01 7.9361913486587554e+01 7.3096916850027853e+01 6.7836679392713336e+01 6.3420611292190408e+01 5.9699037661653371e+01 5.6542262738845885e+01 5.3844012570810392e+01 5.1518852323822685e+01 4.9500625273345179e+01 4.7738069765297666e+01 4.6193091551308072e+01 4.4835068657579619e+01 4.3641485098959095e+01 4.2592751941695354e+01 4.1674956067455582e+01 4.0874613302885095e+01 4.0180470504623720e+01 3.9583639621452456e+01 3.9074851875772772e+01 3.8644870832004926e+01 3.8286753810426532e+01 3.7991983539434585e+01 3.7753774011060166e+01 3.7564492783342452e+01 3.7417197518592403e+01 3.7302628719481433e+01 3.7211904243129169e+01 3.7137972690679099e+01 3.7074360222556543e+01 3.7015059190222388e+01 3.6973333312247824e+01 3.6931276650834981e+01 3.6888396181892325e+01 3.6843494948708368e+01 3.6797178069463953e+01 3.6748155461081488e+01 3.6697857639260022e+01 3.6642114812560280e+01 3.6582456943645106e+01 3.6517786025326579e+01 3.6447244634277830e+01 3.6369790876139945e+01 3.6284251032615074e+01 3.6188982533468270e+01 3.6083975296757984e+01 3.5965550557071239e+01 3.5832774328759179e+01 3.5683719973500423e+01 3.5516314162835705e+01 3.5328418779823693e+01 3.5117889261249516e+01 3.4882395970975175e+01 3.4622064903756531e+01 3.4332614234243593e+01 3.4014922390269120e+01 3.3669724567642490e+01 3.3299728597284783e+01 3.2909541494428964e+01 3.2507931982819436e+01 3.2107987059400770e+01 3.1730900224073288e+01 3.1403787312779020e+01 3.1168625599254053e+01 3.1084074381647223e+01 3.1235258174402531e+01 3.1746173740822481e+01 3.2804716168999292e+01 3.4708354681967904e+01 3.7957993698222829e+01 2.1850791523980355e+00 +2.8760826115922814e+01 3.6981492099090417e+02 3.6973518431927153e+02 3.6966086422581117e+02 3.6955170172088106e+02 3.6941601116795459e+02 3.6927504086461965e+02 3.6914180534346974e+02 3.6899767553912721e+02 3.6881785489736126e+02 3.6858940030488895e+02 3.6830570781535403e+02 3.6795800532991700e+02 3.6753507267424999e+02 3.6702404520124276e+02 3.6641052841679777e+02 3.6567777532094220e+02 3.6480571309992524e+02 3.6377073853925418e+02 3.6254553270883645e+02 3.6109862836775363e+02 3.5939401313825982e+02 3.5739018703935562e+02 3.5503295216009451e+02 3.5222889606081844e+02 3.4886744328493432e+02 3.4490303022648300e+02 3.4030454387489766e+02 3.3501137779859465e+02 3.2895096223596090e+02 3.2205064211036733e+02 3.1424290413341623e+02 3.0547027880175415e+02 2.9569110210549320e+02 2.8488607207897115e+02 2.7306524470074919e+02 2.6027477447238726e+02 2.4660260528302251e+02 2.3218195369200785e+02 2.1719149523523288e+02 2.0185116682758908e+02 1.8526673341481887e+02 1.6890550732681160e+02 1.5310263217381697e+02 1.3816530427635854e+02 1.2434735513144986e+02 1.1183006467800107e+02 1.0071238799363771e+02 9.1011786599690765e+01 8.2674692729821174e+01 7.5593249407581851e+01 6.9625391774727149e+01 6.4615226761317786e+01 6.0409432886823062e+01 5.6865220346215693e+01 5.3858930798358017e+01 5.1289283908448880e+01 4.9074890107586185e+01 4.7152744138034059e+01 4.5474037469143710e+01 4.4002505284804585e+01 4.2708998499116660e+01 4.1572085807573039e+01 4.0573120844844730e+01 3.9698860430006889e+01 3.8936467754338622e+01 3.8275229202068800e+01 3.7706682370491677e+01 3.7222001370244556e+01 3.6812390058743851e+01 3.6471236474936980e+01 3.6190428478559987e+01 3.5963502134959064e+01 3.5783187109236067e+01 3.5642869953783965e+01 3.5533729725417992e+01 3.5447305042355033e+01 3.5376878105042280e+01 3.5316281519691891e+01 3.5259792317610412e+01 3.5220045043871274e+01 3.5179982707626586e+01 3.5139135643782097e+01 3.5096363646106148e+01 3.5052243133962484e+01 3.5005545245306706e+01 3.4957632429693547e+01 3.4904532949892321e+01 3.4847704079327784e+01 3.4786099878574525e+01 3.4718903583517466e+01 3.4645122706662200e+01 3.4563639187631161e+01 3.4472888392988267e+01 3.4372860492336230e+01 3.4260051484990420e+01 3.4133571539561629e+01 3.3991585379717222e+01 3.3832117995056315e+01 3.3653132659122171e+01 3.3452586504983280e+01 3.3228260413130194e+01 3.2980274186280631e+01 3.2704549350105360e+01 3.2401922547174195e+01 3.2073094110855429e+01 3.1720643466525058e+01 3.1348959163633925e+01 3.0966394110411603e+01 3.0585414754251168e+01 3.0226209391347638e+01 2.9914608294406381e+01 2.9690598038776319e+01 2.9610056315966030e+01 2.9754070926511478e+01 3.0240758680293254e+01 3.1249104632244030e+01 3.3062471966741654e+01 3.6158011758931025e+01 2.0770234638372469e+00 +2.8817455029980110e+01 3.5302144099566635e+02 3.5294454103096132e+02 3.5287356395137761e+02 3.5276927922327974e+02 3.5263960680584859e+02 3.5250480585934616e+02 3.5237729596677184e+02 3.5223930611422753e+02 3.5206716101170861e+02 3.5184848563930927e+02 3.5157695376093619e+02 3.5124417061187427e+02 3.5083940096216111e+02 3.5035033551203418e+02 3.4976320090524501e+02 3.4906197370338828e+02 3.4822744857286381e+02 3.4723704299077195e+02 3.4606462037018468e+02 3.4468007720794532e+02 3.4304896410768407e+02 3.4113158558151349e+02 3.3887610429330334e+02 3.3619317368256401e+02 3.3297703262258983e+02 3.2918414107339805e+02 3.2478481312354461e+02 3.1972116727365795e+02 3.1392390584169084e+02 3.0732368814512267e+02 2.9985613792997958e+02 2.9146653816676866e+02 2.8211534520878291e+02 2.7178445840177585e+02 2.6048390259460575e+02 2.4825825700798046e+02 2.3519206866620655e+02 2.2141314297350820e+02 2.0709267165066197e+02 1.9244116413501237e+02 1.7660523054303789e+02 1.6098652960768126e+02 1.4590494422792443e+02 1.3165335377688484e+02 1.1847341282375184e+02 1.0653732377746786e+02 9.5938622845407707e+01 8.6693091038922347e+01 7.8748838622201248e+01 7.2002343839026508e+01 6.6317639051715375e+01 6.1545744674306725e+01 5.7540283311876550e+01 5.4165037320616911e+01 5.1302107690410629e+01 4.8854975290189266e+01 4.6746105935335713e+01 4.4915496918587124e+01 4.3316676323816402e+01 4.1915121541885220e+01 4.0683086015127827e+01 3.9600171213987075e+01 3.8648628280110749e+01 3.7815851917546297e+01 3.7089621798356632e+01 3.6459738129355735e+01 3.5918143900789495e+01 3.5456435082307969e+01 3.5066234969943771e+01 3.4741246668987159e+01 3.4473744024208855e+01 3.4257569989827836e+01 3.4085799272106236e+01 3.3952131837447347e+01 3.3848164665331353e+01 3.3765837336222830e+01 3.3698749975081796e+01 3.3641027226008397e+01 3.3587217399650044e+01 3.3549355519316109e+01 3.3511193554944292e+01 3.3472284100995957e+01 3.3431541028721448e+01 3.3389513410883460e+01 3.3345030720023573e+01 3.3299390558067152e+01 3.3248809894890172e+01 3.3194676746276762e+01 3.3135994787684218e+01 3.3071985998600283e+01 3.3001704970843633e+01 3.2924086679957298e+01 3.2837640755244159e+01 3.2742357617654513e+01 3.2634899781632306e+01 3.2514419496986740e+01 3.2379168545084788e+01 3.2227265601828236e+01 3.2056770554666294e+01 3.1865737441884942e+01 3.1652052451860424e+01 3.1415829498105122e+01 3.1153183861639249e+01 3.0864912374935461e+01 3.0551682151329572e+01 3.0215950259801033e+01 2.9861897076263421e+01 2.9497479282638750e+01 2.9134572009284359e+01 2.8792405715020394e+01 2.8495585658719563e+01 2.8282201506862283e+01 2.8205480386095953e+01 2.8342663559737208e+01 2.8806264892534323e+01 2.9766779163793323e+01 3.1494128062593294e+01 3.4442828373380074e+01 1.9742883414066947e+00 +2.8874083944037405e+01 3.3698362057855701e+02 3.3690944803607164e+02 3.3684165949234603e+02 3.3674204128070772e+02 3.3661812273023315e+02 3.3648922388043394e+02 3.3636719705807184e+02 3.3623508943377982e+02 3.3607029701320550e+02 3.3586098814345792e+02 3.3560110282989473e+02 3.3528260768614786e+02 3.3489523166556842e+02 3.3442719717203403e+02 3.3386532556540345e+02 3.3319428610785087e+02 3.3239570393675518e+02 3.3144797368182446e+02 3.3032609059083137e+02 3.2900125657475570e+02 3.2744051826946600e+02 3.2560590724352744e+02 3.2344784524678801e+02 3.2088087690820896e+02 3.1780384856235372e+02 3.1417515505079780e+02 3.0996647301789625e+02 3.0512252496069243e+02 2.9957713964698172e+02 2.9326414158598772e+02 2.8612214784722175e+02 2.7809906424198175e+02 2.6915736237058354e+02 2.5928007462343624e+02 2.4847717709077173e+02 2.3679172086064222e+02 2.2430498121903156e+02 2.1113956563158084e+02 1.9745948813898769e+02 1.8346622678355394e+02 1.6834538939951685e+02 1.5343588170808295e+02 1.3904301055141357e+02 1.2544599626400334e+02 1.1287489242717758e+02 1.0149327096437311e+02 9.1389536858433061e+01 8.2577909536062165e+01 7.5008139669381549e+01 6.8580874831502712e+01 6.3165989482481827e+01 5.8621116371941795e+01 5.4806512154621892e+01 5.1592232451956207e+01 4.8865872149290709e+01 4.6535451605224395e+01 4.4527110964291609e+01 4.2783708126085152e+01 4.1260996766942341e+01 3.9926113384808723e+01 3.8752646925854116e+01 3.7721182195324324e+01 3.6814824919226176e+01 3.6021577156743987e+01 3.5329805639960462e+01 3.4729799909492293e+01 3.4213889049973453e+01 3.3774070852568286e+01 3.3402368178441918e+01 3.3092784282116526e+01 3.2837960745699839e+01 3.2632032938356126e+01 3.2468404340094246e+01 3.2341073578151338e+01 3.2242035886430543e+01 3.2163612933567364e+01 3.2099707825284540e+01 3.2044723507897515e+01 3.1993466797256296e+01 3.1957401458958429e+01 3.1921050307458778e+01 3.1883987148696921e+01 3.1845177383413279e+01 3.1805144026683998e+01 3.1762772134322542e+01 3.1719297528015542e+01 3.1671116975693050e+01 3.1619552506230029e+01 3.1563655071680746e+01 3.1502683569320045e+01 3.1435737451529981e+01 3.1361802230308271e+01 3.1279458295694504e+01 3.1188696319191227e+01 3.1086337467434667e+01 3.0971574094872651e+01 3.0842740937816263e+01 3.0698045943234142e+01 3.0535641059246384e+01 3.0353672662544181e+01 3.0150127284146720e+01 2.9925113236811015e+01 2.9674930410469674e+01 2.9400337710155927e+01 2.9101970594661129e+01 2.8782169542974142e+01 2.8444916568029896e+01 2.8097790798677742e+01 2.7752103913572110e+01 2.7426173684459652e+01 2.7143438074543830e+01 2.6940179244120408e+01 2.6867098667542543e+01 2.6997772352703084e+01 2.7439375271348418e+01 2.8354312052014961e+01 2.9999696350141427e+01 3.2808477371505482e+01 1.8766130319980918e+00 +2.8930712858094701e+01 3.2166780097900369e+02 3.2159624803100706e+02 3.2153151257607954e+02 3.2143635216312600e+02 3.2131793511292642e+02 3.2119468152301619e+02 3.2107790555841535e+02 3.2095143309577907e+02 3.2079368389451497e+02 3.2059334594081622e+02 3.2034461453681615e+02 3.2003980235337286e+02 3.1966908266793013e+02 3.1922118692881077e+02 3.1868350589080177e+02 3.1804137195452938e+02 3.1727720527728479e+02 3.1637033592981874e+02 3.1529684261181029e+02 3.1402917678274036e+02 3.1253581698554621e+02 3.1078044768179467e+02 3.0871565251779680e+02 3.0625970001882905e+02 3.0331584586786460e+02 2.9984433493229119e+02 2.9581814474386459e+02 2.9118448614881618e+02 2.8588017512186741e+02 2.7984205878105371e+02 2.7301161029026309e+02 2.6533923466669052e+02 2.5678931872652544e+02 2.4734596328884388e+02 2.3701907968013509e+02 2.2585023697366421e+02 2.1391755954235427e+02 2.0133866205259011e+02 1.8827067483637643e+02 1.7490642437827654e+02 1.6046875141463269e+02 1.4623658293408121e+02 1.3250130417765558e+02 1.1952910459551507e+02 1.0753898590216174e+02 9.6686314941324241e+01 8.7054638258481702e+01 7.8656725232670198e+01 7.1443929113012018e+01 6.5320906799565847e+01 6.0163130058560981e+01 5.5834555661032297e+01 5.2201777886512730e+01 4.9140840131311748e+01 4.6544577827644282e+01 4.4325339323243774e+01 4.2412766456471843e+01 4.0752442440282799e+01 3.9302240751883666e+01 3.8030877828518683e+01 3.6913214274430125e+01 3.5930771138978358e+01 3.5067467847835253e+01 3.4311884736442067e+01 3.3652947570459986e+01 3.3081411894533851e+01 3.2589974501598057e+01 3.2171015911832313e+01 3.1816939612940317e+01 3.1522034793132363e+01 3.1279293380590321e+01 3.1083129363111290e+01 3.0927259488452613e+01 3.0805966980705136e+01 3.0711626578869790e+01 3.0636924047634544e+01 3.0576051226718011e+01 3.0523676270331688e+01 3.0474852322368584e+01 3.0440498832006238e+01 3.0405873124761229e+01 3.0370569219124764e+01 3.0333601616377688e+01 3.0295468502682287e+01 3.0255107894447278e+01 3.0213696756581957e+01 3.0167803163613200e+01 3.0118686274829745e+01 3.0065442090034203e+01 3.0007364683906200e+01 2.9943596254442202e+01 2.9873170467571889e+01 2.9794735135998387e+01 2.9708281180655781e+01 2.9610780925911392e+01 2.9501464946513249e+01 2.9378747022968053e+01 2.9240920164559508e+01 2.9086224040004577e+01 2.8912893011166243e+01 2.8719009219072642e+01 2.8504675649794656e+01 2.8266368084849049e+01 2.8004809295858966e+01 2.7720604579419753e+01 2.7415983320983134e+01 2.7094738522175714e+01 2.6764089558223755e+01 2.6434811217659227e+01 2.6124351622460914e+01 2.5855036458358189e+01 2.5661425598575672e+01 2.5591813933386788e+01 2.5716285014573067e+01 2.6136926618039407e+01 2.7008434624593349e+01 2.8575718478252409e+01 3.1251176605991926e+01 1.7837494961145581e+00 +2.8987341772151996e+01 3.0704180985963831e+02 3.0697277736423501e+02 3.0691095392059509e+02 3.0682005512946847e+02 3.0670689926837639e+02 3.0658904584613981e+02 3.0647729804159252e+02 3.0635622387429027e+02 3.0620522125305331e+02 3.0601347506431159e+02 3.0577542543231709e+02 3.0548371637531636e+02 3.0512894649969911e+02 3.0470033458325753e+02 3.0418581651105058e+02 3.0357135950426590e+02 3.0284014478263424e+02 3.0197239789862471e+02 3.0094523465779343e+02 2.9973230255882874e+02 2.9830345063413637e+02 2.9662394521292617e+02 2.9464843876907793e+02 2.9229876351685658e+02 2.8948239476795601e+02 2.8616134622696552e+02 2.8230983739143147e+02 2.7787745687228090e+02 2.7280387472113620e+02 2.6702882440957836e+02 2.6049650416185767e+02 2.5315970029284304e+02 2.4498461964755657e+02 2.3595637032356967e+02 2.2608478439407341e+02 2.1540999400098227e+02 2.0400708926118651e+02 1.9198888939531872e+02 1.7950592329883847e+02 1.6674273013626416e+02 1.5295769772120514e+02 1.3937242768804524e+02 1.2626500924176381e+02 1.1388920066853892e+02 1.0245347534528675e+02 9.2105399831478906e+01 8.2923920912520714e+01 7.4920462493748929e+01 6.8047942462944448e+01 6.2214872751273766e+01 5.7302087569980166e+01 5.3179591700641140e+01 4.9720033646808432e+01 4.6805171903996637e+01 4.4332840646965508e+01 4.2219514460799665e+01 4.0398172275306102e+01 3.8816993664528006e+01 3.7435871101715165e+01 3.6225025543217718e+01 3.5160528434890367e+01 3.4224792217867680e+01 3.3402511075214754e+01 3.2682815922001225e+01 3.2055164859928702e+01 3.1510757212432630e+01 3.1042639964119406e+01 3.0643558172725093e+01 3.0306277905322521e+01 3.0025360736631171e+01 2.9794132366289151e+01 2.9607272250785364e+01 2.9458795625524857e+01 2.9343256904986315e+01 2.9253392460033830e+01 2.9182235000295023e+01 2.9124251517703623e+01 2.9074362891573596e+01 2.9027856986198554e+01 2.8995134613866149e+01 2.8962152978212369e+01 2.8928525357901183e+01 2.8893313039616800e+01 2.8856990551615048e+01 2.8818546371408317e+01 2.8779101392992985e+01 2.8735386904284422e+01 2.8688602166085083e+01 2.8637886101538928e+01 2.8582566303649973e+01 2.8521825700071243e+01 2.8454743839870723e+01 2.8380032776525123e+01 2.8297683678700533e+01 2.8204812885796660e+01 2.8100687396381328e+01 2.7983796307258160e+01 2.7852513678544675e+01 2.7705162762518508e+01 2.7540061756663139e+01 2.7355383901108002e+01 2.7151227116075052e+01 2.6924234765864004e+01 2.6675095198564144e+01 2.6404384971011627e+01 2.6114227614368673e+01 2.5808236032907164e+01 2.5493286814422394e+01 2.5179643175758844e+01 2.4883924611406510e+01 2.4627396973243531e+01 2.4442979077313058e+01 2.4376672724646891e+01 2.4495233721624903e+01 2.4895902564080437e+01 2.5726029935369631e+01 2.7218896626569048e+01 2.9767319490312570e+01 1.6954617914863428e+00 +2.9043970686209292e+01 2.9307488470070621e+02 2.9300827909784829e+02 2.9294924143459650e+02 2.9286241623651892e+02 2.9275428582289061e+02 2.9264159952907511e+02 2.9253466640240379e+02 2.9241876343508522e+02 2.9227422303053584e+02 2.9209070522563866e+02 2.9186288490339541e+02 2.9158372332211081e+02 2.9124422623905502e+02 2.9083407895460738e+02 2.9034173923339938e+02 2.8975378199186116e+02 2.8905411698628365e+02 2.8822382697055804e+02 2.8724102046589292e+02 2.8608048975632033e+02 2.8471339554235681e+02 2.8310651800248661e+02 2.8121648931756391e+02 2.7896855197734476e+02 2.7627421924439579e+02 2.7309719598101742e+02 2.6941288735873360e+02 2.6517315401210391e+02 2.6032039278713472e+02 2.5479709330793281e+02 2.4855005374409942e+02 2.4153432926605163e+02 2.3371785617596888e+02 2.2508669198760165e+02 2.1565057644575171e+02 2.0544824881067632e+02 1.9455187756096757e+02 1.8306967631624647e+02 1.7114584356017099e+02 1.5895698039773012e+02 1.4579541139151306e+02 1.3282795048491087e+02 1.2031998876962722e+02 1.0851342591834548e+02 9.7606706080862622e+01 8.7739980697468283e+01 7.8987842071703739e+01 7.1360466648603563e+01 6.4812299002439303e+01 5.9255557326751017e+01 5.4576212961803037e+01 5.0650054480547411e+01 4.7355513673504269e+01 4.4579803708914767e+01 4.2225526724268747e+01 4.0213091096099546e+01 3.8478655905773060e+01 3.6972874183561878e+01 3.5657561347856401e+01 3.4504371025660610e+01 3.3490527574644204e+01 3.2599292108527180e+01 3.1816096475960748e+01 3.1130595792479614e+01 3.0532755064238412e+01 3.0014196221207943e+01 2.9568299751640485e+01 2.9188157918105865e+01 2.8866882169558522e+01 2.8599293557474248e+01 2.8379035757037180e+01 2.8201041159522006e+01 2.8059609400206643e+01 2.7949553304331797e+01 2.7863953837141114e+01 2.7796174304057203e+01 2.7740943901581918e+01 2.7693424334500332e+01 2.7649127122948364e+01 2.7617958918939102e+01 2.7586543792567181e+01 2.7554513374848696e+01 2.7520973531083218e+01 2.7486376247979031e+01 2.7449758081570710e+01 2.7412186509907965e+01 2.7370548320836967e+01 2.7325985708374997e+01 2.7277678493869246e+01 2.7224986207441120e+01 2.7167130584939891e+01 2.7103234893752365e+01 2.7032072395674721e+01 2.6953634504815788e+01 2.6865174768160085e+01 2.6765994895363587e+01 2.6654655746292377e+01 2.6529608608121542e+01 2.6389256373424441e+01 2.6231997120195679e+01 2.6056090887910909e+01 2.5861630779076322e+01 2.5645419821868359e+01 2.5408113570337658e+01 2.5150261197310488e+01 2.4873885373637300e+01 2.4582427402641979e+01 2.4282437256605927e+01 2.3983690713573932e+01 2.3702017741431110e+01 2.3457674346708174e+01 2.3282015714150937e+01 2.3218858735996747e+01 2.3331788470915434e+01 2.3713426816064381e+01 2.4504125783908233e+01 2.5926086119858038e+01 2.8353466921835476e+01 1.6115254863836692e+00 +2.9100599600266587e+01 2.7973762973224700e+02 2.7967335965864561e+02 2.7961697887947605e+02 2.7953404794378548e+02 2.7943072352198476e+02 2.7932297941679417e+02 2.7922065627707053e+02 2.7910970679512258e+02 2.7897135600540850e+02 2.7879571833392299e+02 2.7857769372840278e+02 2.7831054716548385e+02 2.7798567415454011e+02 2.7759320658493328e+02 2.7712210182077985e+02 2.7655951649308082e+02 2.7589005774011787e+02 2.7509562884754297e+02 2.7415528853409842e+02 2.7304492478010553e+02 2.7173695362044367e+02 2.7019960394605488e+02 2.6839140230793083e+02 2.6624085456695514e+02 2.6366333796705300e+02 2.6062417420968364e+02 2.5709990036076397e+02 2.5304454797358116e+02 2.4840311900174788e+02 2.4312073480705561e+02 2.3714667404812317e+02 2.3043815352621013e+02 2.2296475282567360e+02 2.1471342413269400e+02 2.0569380310827026e+02 1.9594327914846147e+02 1.8553120779669271e+02 1.7456137968173456e+02 1.6317192308175021e+02 1.5153183592394942e+02 1.3896584135196380e+02 1.2658839252679832e+02 1.1465275390800542e+02 1.0338951314310866e+02 9.2987560965079538e+01 8.3580000165605938e+01 7.5237301122102636e+01 6.7968484652012194e+01 6.1729484134347587e+01 5.6436080608734024e+01 5.1979166402533927e+01 4.8240060961593016e+01 4.5102720353523672e+01 4.2459563699197176e+01 4.0217740849337019e+01 3.8301410406717579e+01 3.6649761974725408e+01 3.5215804901618789e+01 3.3963186031517452e+01 3.2864923218006119e+01 3.1899338551544641e+01 3.1050501131758370e+01 3.0304545144359999e+01 2.9651624781148929e+01 2.9082187728072249e+01 2.8588258352415515e+01 2.8163534747937884e+01 2.7801439867741802e+01 2.7495414155331641e+01 2.7240525836738431e+01 2.7030721509095883e+01 2.6861174552048542e+01 2.6726455573158951e+01 2.6621623626693012e+01 2.6540088031532715e+01 2.6475527104607607e+01 2.6422919904121919e+01 2.6377657616994313e+01 2.6335464872334928e+01 2.6305777491502003e+01 2.6275854945361477e+01 2.6245346352130486e+01 2.6213400052187847e+01 2.6180446554676831e+01 2.6145568223332319e+01 2.6109781650389532e+01 2.6070121772196593e+01 2.6027676414627695e+01 2.5981664367171792e+01 2.5931475589739531e+01 2.5876368794923795e+01 2.5815508905227670e+01 2.5747727500219074e+01 2.5673016236977826e+01 2.5588759382037210e+01 2.5494291723419082e+01 2.5388242497292950e+01 2.5269136573211966e+01 2.5135452725523965e+01 2.4985665142826910e+01 2.4818116565793225e+01 2.4632895515209729e+01 2.4426957135851026e+01 2.4200925740553632e+01 2.3955324410483239e+01 2.3692079716123597e+01 2.3414469458378203e+01 2.3128732408184963e+01 2.2844179907360530e+01 2.2575889666021876e+01 2.2343155492709400e+01 2.2175842739580862e+01 2.2115686502850693e+01 2.2223250736604573e+01 2.2586756708231849e+01 2.3339888053122213e+01 2.4694288379180822e+01 2.7006339572688027e+01 1.5317271012058764e+00 +2.9157228514323883e+01 2.6700193472531447e+02 2.6693991471433668e+02 2.6688607668159483e+02 2.6680686142965493e+02 2.6670813363992238e+02 2.6660511775687354e+02 2.6650720809978560e+02 2.6640100341864917e+02 2.6626858091984951e+02 2.6610048964847948e+02 2.6589184525987429e+02 2.6563620350313039e+02 2.6532533297883731e+02 2.6494979307019730e+02 2.6449901939513165e+02 2.6396072541273526e+02 2.6332018580432623e+02 2.6256008926057268e+02 2.6166040397555088e+02 2.6059806661136952e+02 2.5934669458713012e+02 2.5787590313085985e+02 2.5614603145356637e+02 2.5408870811982723e+02 2.5162300777144230e+02 2.4871579784971593e+02 2.4534469593740110e+02 2.4146580783631725e+02 2.3702662427453291e+02 2.3197477947326720e+02 2.2626191852810584e+02 2.1984731762574455e+02 2.1270211764790486e+02 2.0481411366716597e+02 1.9619282673370299e+02 1.8687433837033234e+02 1.7692529609533361e+02 1.6644524318280315e+02 1.5556648751178190e+02 1.4445074490980207e+02 1.3245366789886191e+02 1.2063966976909444e+02 1.0925043453132049e+02 9.8505759592693664e+01 8.8585435848694004e+01 7.9615866108217972e+01 7.1663619299631307e+01 6.4736646623825962e+01 5.8792332530445492e+01 5.3749882671023407e+01 4.9504903033199149e+01 4.5944001848190638e+01 4.2956411862362039e+01 4.0439520618650974e+01 3.8304815486837384e+01 3.6480030207189309e+01 3.4907242249006160e+01 3.3541705638717140e+01 3.2348811447043403e+01 3.1302876554123934e+01 3.0383268225663766e+01 2.9574824796918325e+01 2.8864349142278556e+01 2.8242470601691149e+01 2.7700096465806720e+01 2.7229634326104623e+01 2.6825084736553798e+01 2.6480185606589451e+01 2.6188690759072689e+01 2.5945903871548602e+01 2.5746060117288451e+01 2.5584562478187866e+01 2.5456239735862372e+01 2.5356385561930232e+01 2.5278722148030049e+01 2.5217227967805020e+01 2.5167120174932801e+01 2.5124008625526667e+01 2.5083821004620553e+01 2.5055544538827952e+01 2.5027044108407111e+01 2.4997985493901751e+01 2.4967557505967417e+01 2.4936170190239970e+01 2.4902949553919363e+01 2.4868863714435367e+01 2.4831088750362134e+01 2.4790660691363776e+01 2.4746835455379514e+01 2.4699031995585713e+01 2.4646544255571435e+01 2.4588576846407904e+01 2.4524016910552902e+01 2.4452856345104234e+01 2.4372603952896064e+01 2.4282626043829801e+01 2.4181617002293148e+01 2.4068171806343418e+01 2.3940841529721009e+01 2.3798172878400148e+01 2.3638587388242421e+01 2.3462169222798718e+01 2.3266018450450229e+01 2.3050729622609726e+01 2.2816800960616902e+01 2.2566067471411543e+01 2.2301651172500623e+01 2.2029494325414742e+01 2.1758465760287621e+01 2.1502926451406626e+01 2.1281253424454718e+01 2.1121892538989215e+01 2.1064595376033516e+01 2.1167047415290188e+01 2.1513277048872826e+01 2.2230614350462318e+01 2.3520644193976715e+01 2.5722810532117137e+01 1.4558635769934294e+00 +2.9213857428381178e+01 2.5484094325883964e+02 2.5478108460534187e+02 2.5472967134257235e+02 2.5465401101354573e+02 2.5455967746111079e+02 2.5446118514688828e+02 2.5436750070307747e+02 2.5426584084465597e+02 2.5413909613290988e+02 2.5397823145311514e+02 2.5377856913218113e+02 2.5353394330245445e+02 2.5323647969923439e+02 2.5287714690927362e+02 2.5244583835397549e+02 2.5193080048371513e+02 2.5131794694347380e+02 2.5059071818289007e+02 2.4972995287002803e+02 2.4871359132094500e+02 2.4751640067509808e+02 2.4610932276894610e+02 2.4445443123716149e+02 2.4248634265839604e+02 2.4012766956614419e+02 2.3734675712297647e+02 2.3412225434841960e+02 2.3041224886707744e+02 2.2616660896928056e+02 2.2133536815067708e+02 2.1587242905643132e+02 2.0973902976704872e+02 2.0290779446484740e+02 1.9536731213143412e+02 1.8712697982111933e+02 1.7822161215326423e+02 1.6871524985855638e+02 1.5870335777073112e+02 1.4831266317693149e+02 1.3769790763301359e+02 1.2624426974793451e+02 1.1496834240977725e+02 1.0410075116623645e+02 9.3851001269121198e+01 8.4390216146515030e+01 7.5838430335388907e+01 6.8258520325162365e+01 6.1657448228390500e+01 5.5994012048805246e+01 5.1190708830939684e+01 4.7147659366965669e+01 4.3756528964287185e+01 4.0911590368642408e+01 3.8514972708228768e+01 3.6482300280481084e+01 3.4744714963841055e+01 3.3247046089387396e+01 3.1946685965250264e+01 3.0810686807277058e+01 2.9814602414219504e+01 2.8938795167049665e+01 2.8168835731682844e+01 2.7492163623708404e+01 2.6899860542235668e+01 2.6383271403458988e+01 2.5935168720970136e+01 2.5549841080778869e+01 2.5221326358209669e+01 2.4943676876346029e+01 2.4712420593431577e+01 2.4522067587658796e+01 2.4368239591077121e+01 2.4246011361546238e+01 2.4150900119830901e+01 2.4076926174214520e+01 2.4018353995559870e+01 2.3970627616939417e+01 2.3929565256400924e+01 2.3891288072877423e+01 2.3864355891222580e+01 2.3837210415352086e+01 2.3809533302026260e+01 2.3780551921160047e+01 2.3750656821557399e+01 2.3719015591059989e+01 2.3686550169861466e+01 2.3650571101636793e+01 2.3612065070907704e+01 2.3570323370625339e+01 2.3524792577916561e+01 2.3474800203607053e+01 2.3419588672963087e+01 2.3358098065650793e+01 2.3290320515554583e+01 2.3213883469099773e+01 2.3128183274155319e+01 2.3031976386641713e+01 2.2923924582176980e+01 2.2802647819343822e+01 2.2666761896755208e+01 2.2514763422647363e+01 2.2346732416925867e+01 2.2159907016340220e+01 2.1954853421123524e+01 2.1732046166705054e+01 2.1493233020822991e+01 2.1241387574608211e+01 2.0982169583307453e+01 2.0724026262354709e+01 2.0480635706332357e+01 2.0269501444685371e+01 2.0117716886580617e+01 2.0063143771256538e+01 2.0160725047604920e+01 2.0490494247255576e+01 2.1173727938986801e+01 2.2402427301017756e+01 2.4499898284288559e+01 1.3837417695737144e+00 +2.9270486342438474e+01 2.4322897114948779e+02 2.4317119442036366e+02 2.4312209875700000e+02 2.4304983397617636e+02 2.4295970191205575e+02 2.4286553667142218e+02 2.4277589738604783e+02 2.4267859073315415e+02 2.4255728369235192e+02 2.4240333914698445e+02 2.4221227738362873e+02 2.4197819906039228e+02 2.4169357176181828e+02 2.4134975576121235e+02 2.4093708269335318e+02 2.4044430916768533e+02 2.3985796042240710e+02 2.3916219643663189e+02 2.3833868900245750e+02 2.3736633896652802e+02 2.3622101371390414e+02 2.3487492449855708e+02 2.3329180447039531e+02 2.3140912925974689e+02 2.2915289656853867e+02 2.2649286421149384e+02 2.2340866576079367e+02 2.1986028229878306e+02 2.1579985336591631e+02 2.1117970320785486e+02 2.0595588806747554e+02 2.0009151496254694e+02 1.9356061718101938e+02 1.8635253129568315e+02 1.7847652204619348e+02 1.6996617710210776e+02 1.6088302808673038e+02 1.5131862383282652e+02 1.4139434122929600e+02 1.3125824266963008e+02 1.2032369254902915e+02 1.0956158574224042e+02 9.9191988173213005e+01 8.9414588382135719e+01 8.0392254464448698e+01 7.2238968251910308e+01 6.5014111918516178e+01 5.8723733855104811e+01 5.3328008383253135e+01 4.8752595574670316e+01 4.4901940308993098e+01 4.1672543205576019e+01 3.8963490776793684e+01 3.6681437119061691e+01 3.4745952035951092e+01 3.3091426265286472e+01 3.1665311340555583e+01 3.0427036454572590e+01 2.9345235812077959e+01 2.8396640968987953e+01 2.7562561741837065e+01 2.6829265979987326e+01 2.6184799318105156e+01 2.5620674111113299e+01 2.5128651965403009e+01 2.4701852882978805e+01 2.4334839737432510e+01 2.4021936087972488e+01 2.3757478580528641e+01 2.3537208809541621e+01 2.3355898730189203e+01 2.3209378481958456e+01 2.3092957173120812e+01 2.3002365024015113e+01 2.2931906394243143e+01 2.2876118255701993e+01 2.2830660829230304e+01 2.2791550869982181e+01 2.2755093877654424e+01 2.2729442473965175e+01 2.2703587941197647e+01 2.2677227062950067e+01 2.2649623947110896e+01 2.2621150566798349e+01 2.2591014124641145e+01 2.2560092572984949e+01 2.2525824557124622e+01 2.2489149752371230e+01 2.2449393155433469e+01 2.2406027662437349e+01 2.2358412765532194e+01 2.2305826917784991e+01 2.2247260633610782e+01 2.2182706280187926e+01 2.2109904331693421e+01 2.2028279759548695e+01 2.1936648158708550e+01 2.1833734946625821e+01 2.1718225712434322e+01 2.1588802083281283e+01 2.1444032191533779e+01 2.1283992116630465e+01 2.1106051530576913e+01 2.0910749626186281e+01 2.0698538372033816e+01 2.0471082417957007e+01 2.0231213940881904e+01 1.9984323536145098e+01 1.9738456721400450e+01 1.9506640979616009e+01 1.9305547600982418e+01 1.9160981442127614e+01 1.9109003680866277e+01 1.9201944303180632e+01 1.9516030708517373e+01 2.0166771945449888e+01 2.1337038256333223e+01 2.3334760006328818e+01 1.3151779681127129e+00 +2.9327115256495770e+01 2.3214147681840097e+02 2.3208570398349457e+02 2.3203882444221193e+02 2.3196980488480401e+02 2.3188368657239695e+02 2.3179366076255246e+02 2.3170789430923139e+02 2.3161475722354302e+02 2.3149865772086744e+02 2.3135133965217213e+02 2.3116851289256218e+02 2.3094453327285134e+02 2.3067219558526594e+02 2.3034323501195973e+02 2.2994840263754543e+02 2.2947694336147904e+02 2.2891596780055420e+02 2.2825032459613448e+02 2.2746248289305825e+02 2.2653226277205997e+02 2.2543658448842930e+02 2.2414887395111145e+02 2.2263445210821664e+02 2.2083353016660405e+02 2.1867534477148033e+02 2.1613100414492106e+02 2.1318108162745401e+02 2.0978736727828149e+02 2.0590417026387809e+02 2.0148600189427077e+02 1.9649097277358626e+02 1.9088397022936428e+02 1.8464036607898663e+02 1.7775020069380511e+02 1.7022259916693932e+02 1.6208996116688556e+02 1.5341140344624284e+02 1.4427471503495011e+02 1.3479614337824788e+02 1.2511735460748019e+02 1.1467861880195377e+02 1.0440716231004552e+02 9.4512968131873833e+01 8.5186361909614391e+01 7.6582349238103674e+01 6.8809159435794101e+01 6.1922868152355790e+01 5.5928680564737839e+01 5.0788110412979599e+01 4.6429857124933804e+01 4.2762506769251395e+01 3.9687183042110888e+01 3.7107569983980916e+01 3.4934639809016439e+01 3.3091725161718806e+01 3.1516313727832010e+01 3.0158355636511988e+01 2.8979220334721688e+01 2.7949048601446115e+01 2.7045693396297441e+01 2.6251366559410290e+01 2.5552999651372239e+01 2.4939215357040418e+01 2.4401936017977004e+01 2.3933319990361220e+01 2.3526818158080093e+01 2.3177254589283187e+01 2.2879224920790065e+01 2.2627336612567742e+01 2.2417534752557629e+01 2.2244840758143070e+01 2.2105283319054550e+01 2.1994394813908766e+01 2.1908108407203621e+01 2.1840999103479874e+01 2.1787863511812951e+01 2.1744567849393743e+01 2.1707318043580916e+01 2.1672595229782448e+01 2.1648164077278413e+01 2.1623539479286300e+01 2.1598432632025496e+01 2.1572142645484860e+01 2.1545023795087406e+01 2.1516321024661757e+01 2.1486870384930036e+01 2.1454232558484605e+01 2.1419302437493471e+01 2.1381437129636105e+01 2.1340134606171230e+01 2.1294784829222120e+01 2.1244700577037889e+01 2.1188920413730781e+01 2.1127436936114815e+01 2.1058098294309225e+01 2.0980356734893157e+01 2.0893084197083326e+01 2.0795066732450120e+01 2.0685052459048169e+01 2.0561785721479119e+01 2.0423902794744002e+01 2.0271476010985239e+01 2.0102000351383314e+01 1.9915989281894323e+01 1.9713873270665125e+01 1.9497237777728031e+01 1.9268780248861894e+01 1.9033634839792430e+01 1.8799464352924502e+01 1.8578676413452516e+01 1.8387149394208702e+01 1.8249460499081788e+01 1.8199955436217877e+01 1.8288474717563663e+01 1.8587619484427293e+01 1.9207403832559407e+01 2.0321998586800664e+01 2.2224685172401784e+01 1.2499974369030786e+00 +2.9383744170553065e+01 2.2155500313141019e+02 2.2150116173823449e+02 2.2145639775294094e+02 2.2139047956757457e+02 2.2130819698421539e+02 2.2122212974837959e+02 2.2114007106670923e+02 2.2105092751536807e+02 2.2093981501989450e+02 2.2079884203706649e+02 2.2062390002897746e+02 2.2040958912045735e+02 2.2014901728712965e+02 2.1983427855188089e+02 2.1945652547700740e+02 2.1900547030625685e+02 2.1846878393021612e+02 2.1783197408691422e+02 2.1707827301972105e+02 2.1618838049553457e+02 2.1514022427602379e+02 2.1390839249145586e+02 2.1245972522630683e+02 2.1073705104779330e+02 2.0867270554526880e+02 2.0623908780721061e+02 2.0341766816453259e+02 2.0017196488999474e+02 1.9645835963571099e+02 1.9223345171763373e+02 1.8745731136876844e+02 1.8209652172994549e+02 1.7612772601931806e+02 1.6954162700675548e+02 1.6234720372602428e+02 1.5457570579601142e+02 1.4628392600186532e+02 1.3755604375772631e+02 1.2850338913654312e+02 1.1926150319262047e+02 1.0929633911224873e+02 9.9493395306225921e+01 9.0053027375675967e+01 8.1156631215030814e+01 7.2951724335421346e+01 6.5541069097413029e+01 5.8977612608552640e+01 5.3265782767365764e+01 4.8368396220566446e+01 4.4217072621874493e+01 4.0724363841330842e+01 3.7795813546278993e+01 3.5339496628027099e+01 3.3270505900917698e+01 3.1515762546062362e+01 3.0015706316716688e+01 2.8722668103391889e+01 2.7599865521667617e+01 2.6618874076344206e+01 2.5758614453073875e+01 2.5002157264530638e+01 2.4337065905987032e+01 2.3752512428199616e+01 2.3240809475563623e+01 2.2794493161473390e+01 2.2407329433575036e+01 2.2074391082403725e+01 2.1790532859634364e+01 2.1550620168172937e+01 2.1350791924951412e+01 2.1186307179368040e+01 2.1053383777154558e+01 2.0947766807325490e+01 2.0865582794517934e+01 2.0801664610079772e+01 2.0751056239379288e+01 2.0709820181491580e+01 2.0674342609656794e+01 2.0641271998180333e+01 2.0618003410752070e+01 2.0594550602544871e+01 2.0570638501677085e+01 2.0545599565767557e+01 2.0519771209372973e+01 2.0492434331864722e+01 2.0464385070388087e+01 2.0433300365622344e+01 2.0400032447932475e+01 2.0363969017935823e+01 2.0324631936576825e+01 2.0281440195519330e+01 2.0233739275343900e+01 2.0180613517095050e+01 2.0122055743165284e+01 2.0056016679547906e+01 1.9981974562744121e+01 1.9898855012452763e+01 1.9805501847909152e+01 1.9700722760027471e+01 1.9583321845863388e+01 1.9452000300179677e+01 1.9306826891668827e+01 1.9145415977331034e+01 1.8968256516452257e+01 1.8775758493208439e+01 1.8569431921484398e+01 1.8351845885356887e+01 1.8127890224165412e+01 1.7904863116864558e+01 1.7694581640879903e+01 1.7512168728573585e+01 1.7381031972425472e+01 1.7333882709016507e+01 1.7418189669330555e+01 1.7703099168337122e+01 1.8293390123829820e+01 1.9354945208791179e+01 2.1167089449774856e+01 1.1880339792747074e+00 +2.9440373084610361e+01 2.1144713313843920e+02 2.1139514594347591e+02 2.1135240471952460e+02 2.1128944822963493e+02 2.1121083299003939e+02 2.1112855267227971e+02 2.1105004336643808e+02 2.1096472458184977e+02 2.1085838779417099e+02 2.1072349026493819e+02 2.1055609742894043e+02 2.1035104327557090e+02 2.1010173553058434e+02 2.0980061166945441e+02 2.0943920852110728e+02 2.0900768561113927e+02 2.0849425006103868e+02 2.0788504039124879e+02 2.0716401913986880e+02 2.0631272788963398e+02 2.0531005847126937e+02 2.0413171103494494e+02 2.0274597906748488e+02 2.0109819531719538e+02 1.9912366028461835e+02 1.9679600697177787e+02 1.9409756184037187e+02 1.9099349416937696e+02 1.8744216524530819e+02 1.8340216775523007e+02 1.7883544113243363e+02 1.7371018377641298e+02 1.6800424646042981e+02 1.6170895522118909e+02 1.5483313747238029e+02 1.4740692974893312e+02 1.3948488854551954e+02 1.3114772805658345e+02 1.2250206451698207e+02 1.1367757384448061e+02 1.0416472472815312e+02 9.4809143163413623e+01 8.5801992625332360e+01 7.7316152672253409e+01 6.9492009583419346e+01 6.2427130379713951e+01 5.6171502300027512e+01 5.0728837597790410e+01 4.6063219747849885e+01 4.2109073889762264e+01 3.8782749521480149e+01 3.5994015922602998e+01 3.3655141304357244e+01 3.1685150481793478e+01 3.0014386851800378e+01 2.8586104063849071e+01 2.7354901441474944e+01 2.6285757016500611e+01 2.5351612570224038e+01 2.4532405386591552e+01 2.3812023658647682e+01 2.3178632260034135e+01 2.2621926242301896e+01 2.2134589807469354e+01 2.1709518736769308e+01 2.1340778974717200e+01 2.1023680153658255e+01 2.0753323790919403e+01 2.0524820968825601e+01 2.0334495224681969e+01 2.0177831966917616e+01 2.0051229244359419e+01 1.9950634792600013e+01 1.9872359361670632e+01 1.9811481510689912e+01 1.9763280915315459e+01 1.9724007096897942e+01 1.9690217966519974e+01 1.9658721429640796e+01 1.9636560429521509e+01 1.9614223996063117e+01 1.9591450140451943e+01 1.9567603091208952e+01 1.9543004199480873e+01 1.9516968618516906e+01 1.9490254466071271e+01 1.9460649433693035e+01 1.9428965111432209e+01 1.9394618346024405e+01 1.9357153758402660e+01 1.9316017996857060e+01 1.9270587697863263e+01 1.9219990813107664e+01 1.9164220386526903e+01 1.9101324859884119e+01 1.9030807234388352e+01 1.8951644271636749e+01 1.8862734826572392e+01 1.8762943345686701e+01 1.8651130852731640e+01 1.8526060390799483e+01 1.8387797339959633e+01 1.8234069778697766e+01 1.8065343322391314e+01 1.7882008439890328e+01 1.7685503266914523e+01 1.7478274596206116e+01 1.7264979504746677e+01 1.7052568790405672e+01 1.6852296916441588e+01 1.6678567092485757e+01 1.6553672615590550e+01 1.6508767741358604e+01 1.6589061586810011e+01 1.6860409023490718e+01 1.7422601369383955e+01 1.8433625101882701e+01 2.0159508873927198e+01 1.1291295225669122e+00 +2.9497001998667656e+01 2.0179643128261006e+02 2.0174623158974029e+02 2.0170542194777858e+02 2.0164529476686076e+02 2.0157018804197332e+02 2.0149152937368493e+02 2.0141641776176385e+02 2.0133476193167368e+02 2.0123299840966774e+02 2.0110391797435170e+02 2.0094375280097884e+02 2.0074756073933150e+02 2.0050903640094546e+02 2.0022094597537495e+02 1.9987519407674540e+02 1.9946236829751084e+02 1.9897118896608174e+02 1.9838839826727497e+02 1.9769865762327925e+02 1.9688431416823425e+02 1.9592518221141614e+02 1.9479802585890562e+02 1.9347252907128203e+02 1.9189642042480128e+02 1.9000783701503249e+02 1.8778159128021809e+02 1.8520082678821242e+02 1.8223229001877797e+02 1.7883623314416650e+02 1.7497315181690371e+02 1.7060676835356742e+02 1.6570681961838017e+02 1.6025230322042680e+02 1.5423513148282629e+02 1.4766397542721131e+02 1.4056789449671331e+02 1.3299929345034155e+02 1.2503556008072563e+02 1.1677879211448165e+02 1.0835304948246417e+02 9.9272201302370959e+01 9.0343775281078578e+01 8.1750158672194146e+01 7.3656109255739054e+01 6.6195222175142362e+01 5.9460127461737045e+01 5.3498012324535928e+01 4.8311930958577790e+01 4.3867198061447283e+01 4.0100933762730996e+01 3.6933123943769104e+01 3.4277577516502291e+01 3.2050567230189600e+01 3.0174869822888617e+01 2.8584092208752075e+01 2.7224170164233218e+01 2.6051864369070703e+01 2.5033829650094226e+01 2.4144308855649367e+01 2.3364207169914799e+01 2.2678191135822701e+01 2.2074998197341227e+01 2.1544821298492529e+01 2.1080698348013541e+01 2.0675867566123827e+01 2.0324680543081204e+01 2.0022672436209163e+01 1.9765179764011162e+01 1.9547547603790221e+01 1.9366275339260525e+01 1.9217063995979199e+01 1.9096483293884006e+01 1.9000674024006379e+01 1.8926122455645448e+01 1.8868141227798834e+01 1.8822234568617954e+01 1.8784830195830470e+01 1.8752649648986630e+01 1.8722652728210655e+01 1.8701546919793426e+01 1.8680274048777942e+01 1.8658584591102755e+01 1.8635873043424112e+01 1.8612445453494232e+01 1.8587649606789427e+01 1.8562207406600468e+01 1.8534012047129089e+01 1.8503836404515276e+01 1.8471125092831858e+01 1.8435444416241911e+01 1.8396267371324662e+01 1.8353000276561112e+01 1.8304812629861715e+01 1.8251697692550486e+01 1.8191796990704145e+01 1.8124637122447734e+01 1.8049243571880368e+01 1.7964567626106057e+01 1.7869527802181278e+01 1.7763039357481084e+01 1.7643924256365754e+01 1.7512244656521862e+01 1.7365836969696861e+01 1.7205144575236336e+01 1.7030539349883259e+01 1.6843390951536811e+01 1.6646029666883035e+01 1.6442890821887119e+01 1.6240594265911970e+01 1.6049858469376723e+01 1.5884400959621491e+01 1.5765453456056230e+01 1.5722686793599001e+01 1.5799157373860394e+01 1.6057584334048364e+01 1.6593007342008843e+01 1.7555890226116727e+01 1.9199594289751381e+01 1.0731337231517895e+00 +2.9553630912724952e+01 1.9258242069354387e+02 1.9253394541148768e+02 1.9249497995157600e+02 1.9243755764496896e+02 1.9236580196374638e+02 1.9229060730285070e+02 1.9221874833248043e+02 1.9214060031839463e+02 1.9204321609880452e+02 1.9191970521000221e+02 1.9176645967951478e+02 1.9157875162520432e+02 1.9135055022510869e+02 1.9107493626644705e+02 1.9074416636636764e+02 1.9034923778304790e+02 1.8987936200101231e+02 1.8932185890147022e+02 1.8866205871170681e+02 1.8788307939333237e+02 1.8696561791339019e+02 1.8588745631825725e+02 1.8461960880046931e+02 1.8311209603547201e+02 1.8130576887217714e+02 1.7917656708094140e+02 1.7670841406292831e+02 1.7386956294735438e+02 1.7062207196846532e+02 1.6692825338130825e+02 1.6275352999640515e+02 1.5806910393808815e+02 1.5285506190823614e+02 1.4710386757416384e+02 1.4082403152470332e+02 1.3404357114178450e+02 1.2681282098359856e+02 1.1920597588620858e+02 1.1132080251330498e+02 1.0327598360372929e+02 9.4607723824383157e+01 8.6087148840004247e+01 7.7888267065556178e+01 7.0168091050927501e+01 6.3053748919094488e+01 5.6633179429787440e+01 5.0950921217500913e+01 4.6009424199481181e+01 4.1775199200019493e+01 3.8187954944795521e+01 3.5171159107909581e+01 3.2642482280402191e+01 3.0522021336456689e+01 2.8736133001638866e+01 2.7221536286506314e+01 2.5926723434297084e+01 2.4810514412308375e+01 2.3841161159959739e+01 2.2994145470793583e+01 2.2251294046591905e+01 2.1598014418607985e+01 2.1023589072911950e+01 2.0518684934904453e+01 2.0076676621116853e+01 1.9691128381753668e+01 1.9356663783760467e+01 1.9069032729813554e+01 1.8823795532241725e+01 1.8616520131021431e+01 1.8443873396313670e+01 1.8301761735437275e+01 1.8186918408450460e+01 1.8095668121673526e+01 1.8024664366024950e+01 1.7969442797025664e+01 1.7925721580265680e+01 1.7890098217457712e+01 1.7859450147521539e+01 1.7830881882494428e+01 1.7810781331984309e+01 1.7790521692564223e+01 1.7769865315577348e+01 1.7748235533694928e+01 1.7725923815577637e+01 1.7702309033480720e+01 1.7678078596045118e+01 1.7651226199053042e+01 1.7622487840360453e+01 1.7591334587323672e+01 1.7557353401233254e+01 1.7520042380080660e+01 1.7478836119676775e+01 1.7432943696931375e+01 1.7382358586100409e+01 1.7325310984311439e+01 1.7261349973459936e+01 1.7189547454408654e+01 1.7108904665160573e+01 1.7018391634543708e+01 1.6916975287045236e+01 1.6803533718763113e+01 1.6678126023170201e+01 1.6538691810631391e+01 1.6385653280135607e+01 1.6219364596133747e+01 1.6041130179279151e+01 1.5853169323605194e+01 1.5659706098111091e+01 1.5467045064106317e+01 1.5285394069387022e+01 1.5127817400480245e+01 1.5014535439646597e+01 1.4973805800503095e+01 1.5046634044958989e+01 1.5292751968691601e+01 1.5802672452753029e+01 1.6719692671617373e+01 1.8285106047205364e+01 1.0199035905464913e+00 +2.9610259826782247e+01 1.8378553448695467e+02 1.8373871763987330e+02 1.8370151288501683e+02 1.8364667495697154e+02 1.8357812188744873e+02 1.8350624052761663e+02 1.8343749522128550e+02 1.8336270631088732e+02 1.8326951553383506e+02 1.8315133701604313e+02 1.8300471604186873e+02 1.8282512980588800e+02 1.8260681025314986e+02 1.8234313925036025e+02 1.8202671030506335e+02 1.8164891271795167e+02 1.8119942801534594e+02 1.8066612890586885e+02 1.8003498562120646e+02 1.7928985370164344e+02 1.7841227464650245e+02 1.7738100438890544e+02 1.7616832968646696e+02 1.7472646401425200e+02 1.7299885437923078e+02 1.7096251804895707e+02 1.6860212266076792e+02 1.6588736055527221e+02 1.6278201495781701e+02 1.5925013222913569e+02 1.5525875703519455e+02 1.5078048697982734e+02 1.4579644294954852e+02 1.4029960694558207e+02 1.3429832575855448e+02 1.2781960879223287e+02 1.2091179901735686e+02 1.1364602658474361e+02 1.0611590696333245e+02 9.8434974560074807e+01 9.0160752672639532e+01 8.2029586656678177e+01 7.4207485758509293e+01 6.6844076645607601e+01 6.0060329292820725e+01 5.3939724881608022e+01 4.8524296971536408e+01 4.3815941405054382e+01 3.9782330577133038e+01 3.6365659379296133e+01 3.3492729077323276e+01 3.1084901676549293e+01 2.9065925767412374e+01 2.7365573907273262e+01 2.5923532730363018e+01 2.4690731115230921e+01 2.3627951024872555e+01 2.2704965583585167e+01 2.1898436351306316e+01 2.1191067370766689e+01 2.0568971580753466e+01 2.0021950295536993e+01 1.9541121651510231e+01 1.9120180785560681e+01 1.8753002350117590e+01 1.8434468869579547e+01 1.8160534724207533e+01 1.7926973343844232e+01 1.7729564924912264e+01 1.7565135858981584e+01 1.7429788182201293e+01 1.7320410946430204e+01 1.7233504062687114e+01 1.7165880335514903e+01 1.7113287892889613e+01 1.7071648721032908e+01 1.7037722087629859e+01 1.7008533964387677e+01 1.6981326729835960e+01 1.6962183850413286e+01 1.6942889477438733e+01 1.6923217275990304e+01 1.6902618049912746e+01 1.6881369379058086e+01 1.6858879749679083e+01 1.6835803714476242e+01 1.6810230705140118e+01 1.6782861590490423e+01 1.6753192638878311e+01 1.6720830490844072e+01 1.6685297157505847e+01 1.6646054173358586e+01 1.6602348319599795e+01 1.6554173278877865e+01 1.6499843713992448e+01 1.6438930129565154e+01 1.6370548645893631e+01 1.6293748087246207e+01 1.6207547555685849e+01 1.6110963196953023e+01 1.6002926580516355e+01 1.5883493886084414e+01 1.5750703029737716e+01 1.5604956036019178e+01 1.5446590195512766e+01 1.5276847779895697e+01 1.5097842344848075e+01 1.4913596703102536e+01 1.4730115052425655e+01 1.4557118795385708e+01 1.4407049894674222e+01 1.4299165274242865e+01 1.4260376226262380e+01 1.4329734559935003e+01 1.4564126147318289e+01 1.5049751376546315e+01 1.5923080030329887e+01 1.7413908939616761e+01 9.6930312969794297e-01 +2.9666888740839543e+01 1.7538706544805848e+02 1.7534184455949173e+02 1.7530632250229814e+02 1.7525395440424393e+02 1.7518846218920348e+02 1.7511974979376714e+02 1.7505398495581608e+02 1.7498241263744396e+02 1.7489323719046584e+02 1.7478016381705527e+02 1.7463988471230041e+02 1.7446807334320121e+02 1.7425921312301386e+02 1.7400697405118183e+02 1.7370427205440606e+02 1.7334287160054839e+02 1.7291290403757816e+02 1.7240277108837910e+02 1.7179905541185801e+02 1.7108631829145594e+02 1.7024690925814255e+02 1.6926051595865013e+02 1.6810064251426445e+02 1.6672160014340818e+02 1.6506931944200798e+02 1.6312184751156627e+02 1.6086456223005823e+02 1.5826853068911609e+02 1.5529918362480720e+02 1.5192222270082874e+02 1.4810623938361854e+02 1.4382516024362585e+02 1.3906108814175784e+02 1.3380749223325654e+02 1.2807255276967581e+02 1.2188230432611951e+02 1.1528317407356424e+02 1.0834335076649231e+02 1.0115247126776737e+02 9.3819140978777014e+01 8.5921230737035785e+01 7.8161856030522046e+01 7.0699389670672943e+01 6.3676415361448811e+01 5.7208039264840252e+01 5.1373507230390302e+01 4.6212483694085435e+01 4.1726357263130453e+01 3.7883927914797376e+01 3.4629778105408924e+01 3.1893900626377476e+01 2.9601185996677689e+01 2.7678869770142452e+01 2.6059983612892232e+01 2.4687043943537386e+01 2.3513302006119673e+01 2.2501409022805099e+01 2.1622586954626161e+01 2.0854620753745071e+01 2.0181049729386075e+01 1.9588658343461333e+01 1.9067741776687136e+01 1.8609847692728813e+01 1.8208976334506819e+01 1.7859297873092714e+01 1.7555941390307257e+01 1.7295055964049368e+01 1.7072617971331777e+01 1.6884609760220336e+01 1.6728009654889522e+01 1.6599106027589606e+01 1.6494936338084351e+01 1.6412167401437635e+01 1.6347763799034219e+01 1.6297676082362511e+01 1.6258020416598729e+01 1.6225710193317049e+01 1.6197912896152840e+01 1.6172002246259815e+01 1.6153771688650551e+01 1.6135396872325970e+01 1.6116662240845681e+01 1.6097044768528228e+01 1.6076808804225909e+01 1.6055391044809141e+01 1.6033414748272659e+01 1.6009060541151911e+01 1.5982995829956462e+01 1.5954740890707944e+01 1.5923921111216240e+01 1.5890081283368442e+01 1.5852708604690879e+01 1.5811085774015153e+01 1.5765206677963540e+01 1.5713466437602252e+01 1.5655455969017760e+01 1.5590333517987547e+01 1.5517193241533347e+01 1.5435100991112598e+01 1.5343119802787154e+01 1.5240232186186494e+01 1.5126491550329261e+01 1.5000029454569230e+01 1.4861228707369277e+01 1.4710410524549880e+01 1.4548757971842303e+01 1.4378283873810146e+01 1.4202819317371757e+01 1.4028082359518848e+01 1.3863330997908628e+01 1.3720414334988021e+01 1.3617671463820759e+01 1.3580731109243279e+01 1.3646783849565152e+01 1.3870004401504028e+01 1.4332484877929552e+01 1.5164190979530050e+01 1.6583967373755755e+01 9.2120300056722426e-01 +2.9723517654896838e+01 1.6736913879220489e+02 1.6732545610930163e+02 1.6729154233242210e+02 1.6724153267316080e+02 1.6717896621986588e+02 1.6711328439980741e+02 1.6705037248644953e+02 1.6698188023465588e+02 1.6689654942330679e+02 1.6678836350803397e+02 1.6665415547305142e+02 1.6648978662713290e+02 1.6628998103173910e+02 1.6604868441998875e+02 1.6575912128092722e+02 1.6541341509183982e+02 1.6500212765853945e+02 1.6451416691630470e+02 1.6393670154635160e+02 1.6325496809571646e+02 1.6245208918159398e+02 1.6150864379210188e+02 1.6039930057351478e+02 1.5908037749646797e+02 1.5750018098982792e+02 1.5563774240598352e+02 1.5347911739798209e+02 1.5099668619695913e+02 1.4815745300170326e+02 1.4492869950868942e+02 1.4128049235362994e+02 1.3718802367562648e+02 1.3263432866979113e+02 1.2761333420013048e+02 1.2213305181384392e+02 1.1621857348757374e+02 1.0991448364776900e+02 1.0328614814567815e+02 9.6419390830535704e+01 8.9418098279435739e+01 8.1879561563616548e+01 7.4475148540998603e+01 6.7355942126284390e+01 6.0657810289512874e+01 5.4490275850670578e+01 4.8928560677797449e+01 4.4010088873000782e+01 3.9735785487330283e+01 3.6075544683228728e+01 3.2976241579106450e+01 3.0370924316274984e+01 2.8187856079637562e+01 2.6357601955527162e+01 2.4816303097035060e+01 2.3509174200383903e+01 2.2391679911787978e+01 2.1428252320143073e+01 2.0591493287644333e+01 1.9860257457397839e+01 1.9218879333512334e+01 1.8654782632907150e+01 1.8158732633715996e+01 1.7722685878303285e+01 1.7340933037792585e+01 1.7007925627351394e+01 1.6719027476213803e+01 1.6470573044527686e+01 1.6258731968499195e+01 1.6079679120930816e+01 1.5930537528440446e+01 1.5807773045064893e+01 1.5708564502258918e+01 1.5629737708973652e+01 1.5568401840859188e+01 1.5520700295893223e+01 1.5482934229468366e+01 1.5452163873589718e+01 1.5425691532367956e+01 1.5401016052450194e+01 1.5383654600446775e+01 1.5366155781071326e+01 1.5348314306216905e+01 1.5329632081201561e+01 1.5310360850695584e+01 1.5289964184842693e+01 1.5269035534533291e+01 1.5245842393995364e+01 1.5221020295697503e+01 1.5194112385987349e+01 1.5164761911961708e+01 1.5132535367067003e+01 1.5096944396201003e+01 1.5057305913442216e+01 1.5013614004656068e+01 1.4964340430840457e+01 1.4909095555667271e+01 1.4847077754802893e+01 1.4777424370626347e+01 1.4699245789447181e+01 1.4611649716402859e+01 1.4513667187202300e+01 1.4405348976258272e+01 1.4284915843455355e+01 1.4152732294366929e+01 1.4009104231503285e+01 1.3855158319237455e+01 1.3692811422723226e+01 1.3525711985254631e+01 1.3359305476852885e+01 1.3202408446540089e+01 1.3066305214533269e+01 1.2968460524046927e+01 1.2933281287865860e+01 1.2996185023074650e+01 1.3208763720106345e+01 1.3649195828173031e+01 1.4441251067794209e+01 1.5793340761214763e+01 8.7548019418244105e-01 +2.9780146568954134e+01 1.5971467540516937e+02 1.5967247481634649e+02 1.5964009589982049e+02 1.5959233967144297e+02 1.5953256950822592e+02 1.5946978613333255e+02 1.5940960487882566e+02 1.5934406193114077e+02 1.5926241218038612e+02 1.5915890518396688e+02 1.5903050881387784e+02 1.5887326415044137e+02 1.5868212554077959e+02 1.5845130257835282e+02 1.5817431504616900e+02 1.5784362995918042e+02 1.5745022104021712e+02 1.5698348060312222e+02 1.5643113807042511e+02 1.5577907607027319e+02 1.5501115685227776e+02 1.5410881209925148e+02 1.5304782440607579e+02 1.5178643139788977e+02 1.5027521219294024e+02 1.4849413880056244e+02 1.4642991364663851e+02 1.4405617121340597e+02 1.4134141839946841e+02 1.3825444503917294e+02 1.3476672457484540e+02 1.3085465429126725e+02 1.2650215452217249e+02 1.2170358203817571e+02 1.1646677804688832e+02 1.1081592325373258e+02 1.0479382975495879e+02 9.8463154371656231e+01 9.1906066812547891e+01 8.5221936236837877e+01 7.8026588478105509e+01 7.0961060751807736e+01 6.4169477129605212e+01 5.7781302093107797e+01 5.1900742369710279e+01 4.6599196825330637e+01 4.1911971223697186e+01 3.7839567769455023e+01 3.4352942024513737e+01 3.1401170438089729e+01 2.8920225980268405e+01 2.6841595409032756e+01 2.5099022914523974e+01 2.3631616299094627e+01 2.2387163075400757e+01 2.1323237390932512e+01 2.0405967951836281e+01 1.9609270838782546e+01 1.8913019231862481e+01 1.8302304666835798e+01 1.7765159387199937e+01 1.7292796135727933e+01 1.6877560671032118e+01 1.6514020116041532e+01 1.6196893831102880e+01 1.5921769144771641e+01 1.5685157027134961e+01 1.5483411144922522e+01 1.5312889724290622e+01 1.5170853605931415e+01 1.5053937689367922e+01 1.4959455472846020e+01 1.4884384221439156e+01 1.4825970859956811e+01 1.4780542505917987e+01 1.4744576548115827e+01 1.4715273117132481e+01 1.4690062960542496e+01 1.4666564125502486e+01 1.4650030596398528e+01 1.4633366263966641e+01 1.4616375622283424e+01 1.4598584326477221e+01 1.4580232114400520e+01 1.4560808155079501e+01 1.4540877509621280e+01 1.4518790416856607e+01 1.4495152048440076e+01 1.4469527337374229e+01 1.4441576543724185e+01 1.4410886834151839e+01 1.4376993142459071e+01 1.4339244975643137e+01 1.4297636614210187e+01 1.4250712820675641e+01 1.4198102487594918e+01 1.4139042218963311e+01 1.4072710496093357e+01 1.3998260129771891e+01 1.3914841377521887e+01 1.3821531500691279e+01 1.3718378768554079e+01 1.3603688908171021e+01 1.3477808992283155e+01 1.3341030335678328e+01 1.3194425874064402e+01 1.3039821060306069e+01 1.2880690348939581e+01 1.2722219539037177e+01 1.2572804653901628e+01 1.2443191988640901e+01 1.2350013371458598e+01 1.2316511799616743e+01 1.2376415749647553e+01 1.2578856871471944e+01 1.2998285404781830e+01 1.3752568694016182e+01 1.5040179120977077e+01 8.3201772436856525e-01 +2.9836775483011429e+01 1.5240735217140897e+02 1.5236657925271160e+02 1.5233566665484383e+02 1.5229006338413936e+02 1.5223296615678254e+02 1.5217295440873337e+02 1.5211538659440927e+02 1.5205266770622822e+02 1.5197454228609632e+02 1.5187551443487675e+02 1.5175268124875006e+02 1.5160225584927019e+02 1.5141941294667382e+02 1.5119861462575693e+02 1.5093366325653776e+02 1.5061735458047528e+02 1.5024105648209229e+02 1.4979462474900936e+02 1.4926632534046504e+02 1.4864265902691281e+02 1.4790819566480113e+02 1.4704518263754926e+02 1.4603046807953379e+02 1.4482412590294655e+02 1.4337890918811115e+02 1.4167568891251128e+02 1.3970178466975082e+02 1.3743202891172425e+02 1.3483636361280139e+02 1.3188501807797883e+02 1.2855080731589942e+02 1.2481127616965360e+02 1.2065118524499566e+02 1.1606529497279298e+02 1.1106127507424391e+02 1.0566242542232524e+02 9.9909853643812639e+01 9.3863616957141048e+01 8.7602383347679691e+01 8.1221197545674059e+01 7.4353574643706111e+01 6.7611575782603964e+01 6.1132682439309008e+01 5.5040253543900945e+01 4.9433434372013473e+01 4.4379991895897454e+01 3.9913229091063421e+01 3.6033263237081570e+01 3.2712079137642057e+01 2.9900866689883298e+01 2.7538398599543104e+01 2.5559242573418878e+01 2.3900178173237276e+01 2.2503143493801254e+01 2.1318379173698290e+01 2.0305469791215582e+01 1.9432160370681643e+01 1.8673618629476458e+01 1.8010687558294368e+01 1.7429179379456510e+01 1.6917705601444947e+01 1.6467904881223092e+01 1.6072493470519635e+01 1.5726301635981544e+01 1.5424303727703828e+01 1.5162299861098713e+01 1.4936969065621334e+01 1.4744840247865106e+01 1.4582446249992330e+01 1.4447179164163922e+01 1.4335834897510479e+01 1.4245855225971187e+01 1.4174361687917033e+01 1.4118732434147153e+01 1.4075469603698622e+01 1.4041218473608486e+01 1.4013312457237790e+01 1.3989304668034105e+01 1.3966926707432439e+01 1.3951181857034634e+01 1.3935312455492737e+01 1.3919132315792428e+01 1.3902189717282331e+01 1.3884712960213543e+01 1.3866215598131845e+01 1.3847235652769371e+01 1.3826202178801541e+01 1.3803691429049445e+01 1.3779289090416189e+01 1.3752671629452802e+01 1.3723445906158229e+01 1.3691169039252115e+01 1.3655221582792777e+01 1.3615598007200685e+01 1.3570912609801281e+01 1.3520811936419577e+01 1.3464569007271283e+01 1.3401401492547139e+01 1.3330502616466044e+01 1.3251063171898219e+01 1.3162204453759079e+01 1.3063972349249777e+01 1.2954753518878107e+01 1.2834878431513767e+01 1.2704624505716373e+01 1.2565013495326667e+01 1.2417783774073419e+01 1.2266244055108464e+01 1.2115332774696396e+01 1.1973045368220614e+01 1.1849615603539810e+01 1.1760881878162976e+01 1.1728978445039589e+01 1.1786024805673323e+01 1.1978808894310882e+01 1.2378229465414648e+01 1.3096531270911953e+01 1.4322718883640938e+01 7.9070433440046872e-01 +2.9893404397068725e+01 1.4543157338168882e+02 1.4539217549020790e+02 1.4536266455990324e+02 1.4531911644520136e+02 1.4526457394844800e+02 1.4520721287490574e+02 1.4515214627527683e+02 1.4509213145846306e+02 1.4501738022227912e+02 1.4492264014489012e+02 1.4480513213216017e+02 1.4466123394368364e+02 1.4448633115115990e+02 1.4427512744336258e+02 1.4402169561037351e+02 1.4371914593988532e+02 1.4335922347726824e+02 1.4293222746929933e+02 1.4242693723717110e+02 1.4183044494709128e+02 1.4112799740476007e+02 1.4030262228363608e+02 1.3933218692418814e+02 1.3817852173018773e+02 1.3679645924822134e+02 1.3516772955750966e+02 1.3328024115021211e+02 1.3110997065797065e+02 1.2862823051026240e+02 1.2580662389947118e+02 1.2261924514304332e+02 1.1904473175995051e+02 1.1506864197727830e+02 1.1068611511444101e+02 1.0590464870639067e+02 1.0074669136135944e+02 9.5251711629582800e+01 8.9477272274405763e+01 8.3498685772744054e+01 7.7406857341161000e+01 7.0852184012556933e+01 6.4419045709232222e+01 5.8238583407510795e+01 5.2428334758570188e+01 4.7082626204473435e+01 4.2265774537510673e+01 3.8009189381524486e+01 3.4312638393775707e+01 3.1149104104592539e+01 2.8471805304582553e+01 2.6222194552109325e+01 2.4337784072934937e+01 2.2758251471533015e+01 2.1428234969414440e+01 2.0300314149393543e+01 1.9335989558074843e+01 1.8504546006100327e+01 1.7782343221636072e+01 1.7151147592905911e+01 1.6597457415956693e+01 1.6110435600109778e+01 1.5682126196933199e+01 1.5305598123009593e+01 1.4975932117086584e+01 1.4688345276655044e+01 1.4438840301745165e+01 1.4224256232634964e+01 1.4041288842343350e+01 1.3886637265357583e+01 1.3757818593185894e+01 1.3651782082349744e+01 1.3566091698523401e+01 1.3498006408942530e+01 1.3445029373957469e+01 1.3403829465169371e+01 1.3371211895186896e+01 1.3344637055011125e+01 1.3321774632024528e+01 1.3300464401363229e+01 1.3285470833405228e+01 1.3270358669360368e+01 1.3254950599639400e+01 1.3238816455172360e+01 1.3222173641061275e+01 1.3204558938279673e+01 1.3186484615645981e+01 1.3166454800375645e+01 1.3145018200309396e+01 1.3121780272146076e+01 1.3096432920505441e+01 1.3068601764856822e+01 1.3037865056912896e+01 1.3003632924717026e+01 1.2965900023964815e+01 1.2923346883560281e+01 1.2875636868115881e+01 1.2822077687290651e+01 1.2761924341914030e+01 1.2694408553331364e+01 1.2618759727650415e+01 1.2534141104559158e+01 1.2440596306242442e+01 1.2336589083223975e+01 1.2222434090250919e+01 1.2098395508586538e+01 1.1965446337102177e+01 1.1825241999467202e+01 1.1680933326479206e+01 1.1537223120204763e+01 1.1401725226791806e+01 1.1284185184391353e+01 1.1199685584673798e+01 1.1169304509499446e+01 1.1223628780596519e+01 1.1407213749554847e+01 1.1787575088135236e+01 1.2471601564394486e+01 1.3639278888202448e+01 7.5143421786137810e-01 +2.9950033311126020e+01 1.3877243487670145e+02 1.3873436194295758e+02 1.3870618835905987e+02 1.3866460501553175e+02 1.3861250416966203e+02 1.3855767776661602e+02 1.3850500495060797e+02 1.3844757922266857e+02 1.3837605834701600e+02 1.3828542272603366e+02 1.3817301191276692e+02 1.3803536121356652e+02 1.3786805796328065e+02 1.3766603703112369e+02 1.3742362997500712e+02 1.3713424805451658e+02 1.3678999719717626e+02 1.3638160094636396e+02 1.3589832979926499e+02 1.3532784171223702e+02 1.3465603109318835e+02 1.3386667201168689e+02 1.3293860666911667e+02 1.3183534558703406e+02 1.3051371033489772e+02 1.2895625197118321e+02 1.2715144089384872e+02 1.2507634650813618e+02 1.2270358994935522e+02 1.2000608566201603e+02 1.1695914786208252e+02 1.1354245444327228e+02 1.0974232071272303e+02 1.0555424150192579e+02 1.0098554187096302e+02 9.6057847875164029e+01 9.0809051996489359e+01 8.5294323571550876e+01 7.9585759826839009e+01 7.3770303635015892e+01 6.7514463130972374e+01 6.1376174756182166e+01 5.5480527548208087e+01 4.9939509104633096e+01 4.4842858187955642e+01 4.0251614183433254e+01 3.6195397000879922e+01 3.2673657520276301e+01 2.9660345137118416e+01 2.7110626193481064e+01 2.4968518217768683e+01 2.3174347456249322e+01 2.1670558350367390e+01 2.0404364996619524e+01 1.9330576998659314e+01 1.8412520804870528e+01 1.7620948072615754e+01 1.6933353732491991e+01 1.6332383361533289e+01 1.5805188367140898e+01 1.5341456526378902e+01 1.4933617747886334e+01 1.4575076637128982e+01 1.4261152339726939e+01 1.3987293042221754e+01 1.3749694313078429e+01 1.3545347537906233e+01 1.3371107380248681e+01 1.3223831337469687e+01 1.3101155544233542e+01 1.3000175310099539e+01 1.2918570989536784e+01 1.2853732456741177e+01 1.2803281957701861e+01 1.2764047197458776e+01 1.2732985745798679e+01 1.2707678962398001e+01 1.2685907588935024e+01 1.2665614446916141e+01 1.2651336526683735e+01 1.2636945682343358e+01 1.2622273060977733e+01 1.2606909023049086e+01 1.2591060595333442e+01 1.2574286683690836e+01 1.2557075029739378e+01 1.2538001266497291e+01 1.2517587865882305e+01 1.2495459116624250e+01 1.2471321629138552e+01 1.2444818892558141e+01 1.2415549289188327e+01 1.2382951117471933e+01 1.2347019213627261e+01 1.2306497190899034e+01 1.2261064437367928e+01 1.2210061706703163e+01 1.2152779559631417e+01 1.2088486388654152e+01 1.2016448381504773e+01 1.1935868732286540e+01 1.1846788909541619e+01 1.1747746091659085e+01 1.1639039871756832e+01 1.1520921821616815e+01 1.1394318497780366e+01 1.1260806308383810e+01 1.1123385690747957e+01 1.0986534988832966e+01 1.0857504563137431e+01 1.0745574875288932e+01 1.0665108563501828e+01 1.0636177635320147e+01 1.0687908933856237e+01 1.0862731125960126e+01 1.1224937270407381e+01 1.1876314201133816e+01 1.2988256562503944e+01 7.1410675302324544e-01 +3.0006662225183316e+01 1.3241569666087483e+02 1.3237890038630138e+02 1.3235200347463882e+02 1.3231229689005366e+02 1.3226252974917111e+02 1.3221012738082726e+02 1.3215974560637409e+02 1.3210479876838559e+02 1.3203637048913856e+02 1.3194966372967301e+02 1.3184213176220712e+02 1.3171046064933756e+02 1.3155043077797137e+02 1.3135719821717720e+02 1.3112534213493709e+02 1.3084856176860603e+02 1.3051930834058589e+02 1.3012871134622625e+02 1.2966651121775232e+02 1.2912090719007975e+02 1.2847841318220964e+02 1.2772351721804822e+02 1.2683599391897990e+02 1.2578096082741656e+02 1.2451714197399419e+02 1.2302787294257838e+02 1.2130216026420671e+02 1.1931811699068973e+02 1.1704961395979929e+02 1.1447081705036724e+02 1.1155820368636050e+02 1.0829244229648195e+02 1.0466056673379791e+02 1.0065840528748251e+02 9.6293110629081824e+01 9.1585514134872454e+01 8.6571992922690171e+01 8.1305419965712886e+01 7.5854811776689189e+01 7.0303318625802916e+01 6.4332823761271158e+01 5.8476003245790018e+01 5.2852169803472329e+01 4.7568019745694031e+01 4.2708924378080027e+01 3.8332809943379182e+01 3.4467604775411381e+01 3.1112473515374020e+01 2.8242302225176676e+01 2.5814126556132365e+01 2.3774418922855190e+01 2.2066194773003655e+01 2.0634540034035165e+01 1.9429126074589064e+01 1.8406888614965510e+01 1.7532894132535745e+01 1.6779291617003231e+01 1.6124657078570515e+01 1.5552473175058644e+01 1.5050513035141456e+01 1.4608964038592827e+01 1.4220623348937361e+01 1.3879215096516599e+01 1.3580285345910518e+01 1.3319502270902673e+01 1.3093245055246662e+01 1.2898650129276001e+01 1.2732723449989910e+01 1.2592473323948116e+01 1.2475649254666171e+01 1.2379485653387077e+01 1.2301773735958651e+01 1.2240028069097336e+01 1.2191984339319477e+01 1.2154621557830065e+01 1.2125042429714210e+01 1.2100943556884838e+01 1.2080211475231575e+01 1.2060887166689028e+01 1.2047290938658334e+01 1.2033587188756082e+01 1.2019615119854059e+01 1.2004984648009172e+01 1.1989892914167584e+01 1.1973919898527075e+01 1.1957529983207651e+01 1.1939366908735723e+01 1.1919928158255667e+01 1.1898855959040745e+01 1.1875870929500108e+01 1.1850633580557654e+01 1.1822761469930246e+01 1.1791719729056259e+01 1.1757503369985649e+01 1.1718916091634874e+01 1.1675652547560052e+01 1.1627084967583256e+01 1.1572537785063833e+01 1.1511314323618496e+01 1.1442715807406740e+01 1.1365983488402438e+01 1.1281156787404646e+01 1.1186842821415272e+01 1.1083326838774662e+01 1.0970848400103863e+01 1.0850289823175697e+01 1.0723152249796449e+01 1.0592292859707936e+01 1.0461976188300524e+01 1.0339106360688293e+01 1.0232520824392417e+01 1.0155896426953799e+01 1.0128346837684619e+01 1.0177608196207164e+01 1.0344083392365672e+01 1.0688995779807014e+01 1.1309272336502252e+01 1.2368124279245214e+01 6.7862625009817301e-01 +3.0063291139240611e+01 1.2634775145487164e+02 1.2631218629240519e+02 1.2628650913525432e+02 1.2624859595479350e+02 1.2620105748532438e+02 1.2615097310576054e+02 1.2610278407342501e+02 1.2605021051348140e+02 1.2598474286162441e+02 1.2590179677481076e+02 1.2579893452050658e+02 1.2567298641815050e+02 1.2551991756700654e+02 1.2533509568071386e+02 1.2511333685237875e+02 1.2484861585833329e+02 1.2453371429222943e+02 1.2416015003907910e+02 1.2371811313181396e+02 1.2319632062032700e+02 1.2258187904515003e+02 1.2185995933467728e+02 1.2101122791291802e+02 1.2000233938510451e+02 1.1879383739781331e+02 1.1736980720438068e+02 1.1571976686119078e+02 1.1382282611938905e+02 1.1165404914148174e+02 1.0918879611519014e+02 1.0640465357920887e+02 1.0328323300510567e+02 9.9812250168332085e+01 9.5987846012243153e+01 9.1817001249448737e+01 8.7319779629110528e+01 8.2531101383283712e+01 7.7501636369546318e+01 7.2297449428768715e+01 6.6998060845007700e+01 6.1300026283319070e+01 5.5711892270409770e+01 5.0347458475936172e+01 4.5308376796919021e+01 4.0675860882876151e+01 3.6504880002030042e+01 3.2821763834232897e+01 2.9625419156952077e+01 2.6891639168920847e+01 2.4579253579028535e+01 2.2637084209494471e+01 2.1010716327515429e+01 1.9647757593621300e+01 1.8500223441641278e+01 1.7527076594839802e+01 1.6695041687392102e+01 1.5977598792859828e+01 1.5354353438135716e+01 1.4809585255371500e+01 1.4331659202385421e+01 1.3911238204528111e+01 1.3541468968920977e+01 1.3216379760047067e+01 1.2931732623750831e+01 1.2683405149127875e+01 1.2467951323249194e+01 1.2282645668256830e+01 1.2124638198533624e+01 1.1991080834080707e+01 1.1879831041776054e+01 1.1788255711866828e+01 1.1714251654960302e+01 1.1655452208925379e+01 1.1609701121510763e+01 1.1574121537059948e+01 1.1545954414238372e+01 1.1523006139939202e+01 1.1503264031643464e+01 1.1484862575973407e+01 1.1471915685225703e+01 1.1458866417869881e+01 1.1445561650542066e+01 1.1431629926830995e+01 1.1417258971197477e+01 1.1402048837123143e+01 1.1386441659728048e+01 1.1369146049170324e+01 1.1350635688158462e+01 1.1330569891033951e+01 1.1308682619361543e+01 1.1284650597915668e+01 1.1258109649716021e+01 1.1228550464840335e+01 1.1195968226503217e+01 1.1159223862244604e+01 1.1118026568783003e+01 1.1071778558066610e+01 1.1019836528381621e+01 1.0961537076490414e+01 1.0896214800015064e+01 1.0823147201684192e+01 1.0742371755283386e+01 1.0652562191919740e+01 1.0553990098123462e+01 1.0446883593426850e+01 1.0332082856577243e+01 1.0211017335461163e+01 1.0086407751810528e+01 9.9623149799565134e+00 9.8453133465477976e+00 9.7438183076388984e+00 9.6708534723477584e+00 9.6446196575415097e+00 9.6915283088532167e+00 9.8500526900232259e+00 1.0178492149351474e+01 1.0769144475478654e+01 1.1777425879261290e+01 6.4490171074115621e-01 +3.0119920053297907e+01 1.2055559952862431e+02 1.2052122095709548e+02 1.2049670861920502e+02 1.2046050809536054e+02 1.2041509982335830e+02 1.2036723160767717e+02 1.2032114117834148e+02 1.2027083969204391e+02 1.2020820623843142e+02 1.2012885973728194e+02 1.2003046690194584e+02 1.1990999609045079e+02 1.1976358913035759e+02 1.1958681623214966e+02 1.1937472018283550e+02 1.1912153939081524e+02 1.1882037153257814e+02 1.1846310607062934e+02 1.1804036317207726e+02 1.1754135524204565e+02 1.1695375570508141e+02 1.1626338867664177e+02 1.1545177351220214e+02 1.1448703492744616e+02 1.1333145690045433e+02 1.1196984102549811e+02 1.1039219339036522e+02 1.0857857558306202e+02 1.0650519122326057e+02 1.0414854025527980e+02 1.0148726671941898e+02 9.8503879876726231e+01 9.5186742619810445e+01 9.1532288927039659e+01 8.7547328293751420e+01 8.3251183089513731e+01 7.8677372988801423e+01 7.3874454310694887e+01 6.8905663987808850e+01 6.3847048102237785e+01 5.8409163842087644e+01 5.3077509056221793e+01 4.7960621797607430e+01 4.3155345064130749e+01 3.8738934713089847e+01 3.4763551501723796e+01 3.1254014432133133e+01 2.8208998763859576e+01 2.5605175976748853e+01 2.3403097470379969e+01 2.1553833414405215e+01 2.0005424719741022e+01 1.8707886379181996e+01 1.7615469838398308e+01 1.6689070282434585e+01 1.5896992446134957e+01 1.5213984352647968e+01 1.4620631922289201e+01 1.4101973562444634e+01 1.3646937594960697e+01 1.3246639584268614e+01 1.2894558918245474e+01 1.2585013341522449e+01 1.2313970467254480e+01 1.2077507232874385e+01 1.1872344037133148e+01 1.1695886872227833e+01 1.1545422917775257e+01 1.1418240852656375e+01 1.1312300957700266e+01 1.1225096292798943e+01 1.1154624245218187e+01 1.1098631281977337e+01 1.1055064086146048e+01 1.1021183099980776e+01 1.0994360978152091e+01 1.0972508691924002e+01 1.0953709563710225e+01 1.0936187148378609e+01 1.0923858765699952e+01 1.0911432906858481e+01 1.0898763758203817e+01 1.0885497606615473e+01 1.0871813207162401e+01 1.0857329732906093e+01 1.0842468131753465e+01 1.0825998798610817e+01 1.0808372747882828e+01 1.0789265569732166e+01 1.0768423935333860e+01 1.0745540013490899e+01 1.0720267025320171e+01 1.0692120005327597e+01 1.0661094303247543e+01 1.0626105353230571e+01 1.0586876206719795e+01 1.0542837634285275e+01 1.0493377067216926e+01 1.0437862795633091e+01 1.0375661206062745e+01 1.0306084330171092e+01 1.0229167790505038e+01 1.0143648764788574e+01 1.0049785828395081e+01 9.9477962029806246e+00 9.8384799289777973e+00 9.7231981643023122e+00 9.6045416515949444e+00 9.4863772731442566e+00 9.3749652187894554e+00 9.2783189846178971e+00 9.2088399584099054e+00 9.1838594454956759e+00 9.2285270940625601e+00 9.3794781585732654e+00 9.6922268110160452e+00 1.0254661439881115e+01 1.1214773354770006e+01 6.1284659921401652e-01 +3.0176548967355203e+01 1.1502681956735162e+02 1.1499358305123575e+02 1.1497018512833364e+02 1.1493561941793097e+02 1.1489224719434516e+02 1.1484649811714263e+02 1.1480241610288397e+02 1.1475428972270215e+02 1.1469436934100050e+02 1.1461846814710806e+02 1.1452435290794050e+02 1.1440912407181401e+02 1.1426909255166903e+02 1.1410002229762684e+02 1.1389717299404818e+02 1.1365503528373736e+02 1.1336700924645562e+02 1.1302533982871284e+02 1.1262105869675483e+02 1.1214385211219729e+02 1.1158193574960151e+02 1.1092175847034788e+02 1.1014565536258503e+02 1.0922315717858478e+02 1.0811821235312783e+02 1.0681630695469511e+02 1.0530791267258829e+02 1.0357400006255055e+02 1.0159186073414300e+02 9.9339082295091089e+01 9.6795317041717070e+01 9.3943928907067829e+01 9.0773894825142150e+01 8.7281923311316547e+01 8.3474653668971712e+01 7.9370692348588051e+01 7.5002212718675750e+01 7.0415743603969815e+01 6.5671812725533385e+01 6.0843141194366900e+01 5.5653647207344356e+01 5.0566812986551383e+01 4.5686155107031233e+01 4.1103932339688889e+01 3.6893633140268612e+01 3.3104750887738739e+01 2.9760677192732441e+01 2.6859880240455340e+01 2.4379881612754307e+01 2.2282884814838056e+01 2.0522111543394686e+01 1.9047949160734124e+01 1.7812710708109076e+01 1.6772780512062639e+01 1.5890896042099202e+01 1.5136867717955338e+01 1.4486651346980771e+01 1.3921766445173420e+01 1.3427973813383117e+01 1.2994738031754904e+01 1.2613605493269866e+01 1.2278372212003738e+01 1.1983631460247878e+01 1.1725546503536833e+01 1.1500384041642819e+01 1.1305022893633437e+01 1.1136994215624451e+01 1.0993715787994788e+01 1.0872606519061918e+01 1.0771724598240249e+01 1.0688683244250857e+01 1.0621575639879349e+01 1.0568256005539313e+01 1.0526769075240686e+01 1.0494506075914908e+01 1.0468965109643349e+01 1.0448156776184174e+01 1.0430255851075458e+01 1.0413570730133157e+01 1.0401831480602162e+01 1.0389999422098434e+01 1.0377935703815101e+01 1.0365303513353282e+01 1.0352273062439505e+01 1.0338481734983237e+01 1.0324330301340506e+01 1.0308648002022878e+01 1.0291864261788659e+01 1.0273670173565820e+01 1.0253824514542746e+01 1.0232034164057495e+01 1.0207968914982420e+01 1.0181166989374356e+01 1.0151623898890678e+01 1.0118306990929010e+01 1.0080952515605789e+01 1.0039018445702322e+01 9.9919214859061860e+00 9.9390601144220945e+00 9.8798309968871916e+00 9.8135790533105443e+00 9.7403381460988641e+00 9.6589058817891651e+00 9.5695284444464885e+00 9.4724126754073676e+00 9.3683203831526658e+00 9.2585476789961554e+00 9.1455614997395607e+00 9.0330439486320078e+00 8.9269560013177127e+00 8.8349282807214280e+00 8.7687695070710969e+00 8.7449827705400107e+00 8.7875158513584140e+00 8.9312532896333749e+00 9.2290563610531819e+00 9.7646134749864864e+00 1.0678843685122956e+01 5.8237862464864509e-01 +3.0233177881412498e+01 1.0974954404200253e+02 1.0971740934754948e+02 1.0969507351731693e+02 1.0966207128821020e+02 1.0962064394633651e+02 1.0957692094670200e+02 1.0953476090298311e+02 1.0948871673181654e+02 1.0943139338059237e+02 1.0935878974137975e+02 1.0926876839505233e+02 1.0915855618944019e+02 1.0902462580701362e+02 1.0886292655489248e+02 1.0866892563500396e+02 1.0843735501394082e+02 1.0816190407886347e+02 1.0783515785503884e+02 1.0744854166909720e+02 1.0699219506178321e+02 1.0645485238031786e+02 1.0582356001218444e+02 1.0508143318172722e+02 1.0419934736082749e+02 1.0314284283005099e+02 1.0189805966524170e+02 1.0045591374380589e+02 9.8798243625677699e+01 9.6903379738429493e+01 9.4749947608845474e+01 9.2318560805728936e+01 8.9593396852303243e+01 8.6564015294922612e+01 8.3227381748105245e+01 7.9589966605678995e+01 7.5669685089715344e+01 7.1497416509404999e+01 6.7117744840751740e+01 6.2588602423266138e+01 5.7979528344454479e+01 5.3027190314456561e+01 4.8174042256897913e+01 4.3518808607488943e+01 3.9149378230730292e+01 3.5135653540476191e+01 3.1524594695076477e+01 2.8338244753336042e+01 2.5574887486849835e+01 2.3212867077704967e+01 2.1215972234525506e+01 1.9539483427790294e+01 1.8136030049771747e+01 1.6960118798206338e+01 1.5970168450673594e+01 1.5130672748805218e+01 1.4412876853580290e+01 1.3793887021993335e+01 1.3256111784265238e+01 1.2785999684541526e+01 1.2373525750631019e+01 1.2010646437397076e+01 1.1691459100289933e+01 1.1410819255014179e+01 1.1165076379860936e+01 1.0950677808965143e+01 1.0764653171826160e+01 1.0604652782910719e+01 1.0468218771143039e+01 1.0352894054599121e+01 1.0256830058484095e+01 1.0177754434116792e+01 1.0113851604413057e+01 1.0063078421213548e+01 1.0023573015357764e+01 9.9928511921643963e+00 9.9685305470471572e+00 9.9487165856388895e+00 9.9316711991819222e+00 9.9157835964970964e+00 9.9046054913505976e+00 9.8933390222068596e+00 9.8818519705780599e+00 9.8698236219635387e+00 9.8574160507174380e+00 9.8442839857599562e+00 9.8308089817119271e+00 9.8158763245521676e+00 9.7998948769657179e+00 9.7825704981656383e+00 9.7636734961669003e+00 9.7429247619652202e+00 9.7200098728810431e+00 9.6944891362591239e+00 9.6663582211222021e+00 9.6346339173430806e+00 9.5990650485203979e+00 9.5591354973420142e+00 9.5142898510563612e+00 9.4639553417537545e+00 9.4075574756226263e+00 9.3444724978964828e+00 9.2747325974560315e+00 9.1971929345026968e+00 9.1120878922797246e+00 9.0196144249675232e+00 8.9204979254546171e+00 8.8159725487790368e+00 8.7083873079029299e+00 8.6012483051850559e+00 8.5002315204424512e+00 8.4126028896922200e+00 8.3496066246940810e+00 8.3269569480970205e+00 8.3674568735088606e+00 8.5043234021466052e+00 8.7878909511810264e+00 9.2978474893175509e+00 1.0168375818130571e+01 5.5341953387454046e-01 +3.0289806795469794e+01 1.0471243409433572e+02 1.0468136171892355e+02 1.0466004062933615e+02 1.0462853091761876e+02 1.0458896273979552e+02 1.0454717703544374e+02 1.0450685613799243e+02 1.0446280518712611e+02 1.0440796770821339e+02 1.0433852012391807e+02 1.0425241674833536e+02 1.0414700538382374e+02 1.0401891347858938e+02 1.0386426767309698e+02 1.0367873370725331e+02 1.0345727442667953e+02 1.0319385598917155e+02 1.0288138875326766e+02 1.0251167462980479e+02 1.0207528674351512e+02 1.0156145554812980e+02 1.0095779890951029e+02 1.0024817812394363e+02 9.9404754705766962e+01 9.8394591297946974e+01 9.7204452854656040e+01 9.5825678999086279e+01 9.4240937154588607e+01 9.2429549588025068e+01 9.0371132247768955e+01 8.8047215149076038e+01 8.5442750265864504e+01 8.2547849893759903e+01 7.9359720312477251e+01 7.5884664520928141e+01 7.2139930450223048e+01 6.8155153661339554e+01 6.3973052657471413e+01 5.9649073554476693e+01 5.5249710338566196e+01 5.0523796455902236e+01 4.5893701132092836e+01 4.1453575679662485e+01 3.7287143495334611e+01 3.3460893701372306e+01 3.0019380756855348e+01 2.6983373792757426e+01 2.4350993157426050e+01 2.2101378808426372e+01 2.0199840341727036e+01 1.8603628150249090e+01 1.7267513801475680e+01 1.6148097934295883e+01 1.5205739837111635e+01 1.4406607486167003e+01 1.3723313151993850e+01 1.3134058905548400e+01 1.2622099822082960e+01 1.2174539188705722e+01 1.1781837903867661e+01 1.1436342712038462e+01 1.1132437758286736e+01 1.0865228153992851e+01 1.0631240603114213e+01 1.0427094382625549e+01 1.0249962685859446e+01 1.0097609266454350e+01 9.9676946471214940e+00 9.8578798312551452e+00 9.7664050286223105e+00 9.6911068680835228e+00 9.6302566725389731e+00 9.5819090452129547e+00 9.5442910790490814e+00 9.5150372441080027e+00 9.4918789557705665e+00 9.4730121253213113e+00 9.4567816266664551e+00 9.4416536436003327e+00 9.4310100152966072e+00 9.4202822562555912e+00 9.4093444653963090e+00 9.3978912611837178e+00 9.3860769673788695e+00 9.3735728330134336e+00 9.3607421132174942e+00 9.3465234716658774e+00 9.3313061879903447e+00 9.3148101859413703e+00 9.2968167563519604e+00 9.2770601359839890e+00 9.2552409364547739e+00 9.2309405001972689e+00 9.2041546490830832e+00 9.1739472616053597e+00 9.1400791390497513e+00 9.1020588426367866e+00 9.0593575170902163e+00 9.0114297818510760e+00 8.9577286130200378e+00 8.8976600917440010e+00 8.8312548157799231e+00 8.7574227597256460e+00 8.6763870685684026e+00 8.5883352792065129e+00 8.4939580995555275e+00 8.3944306728394107e+00 8.2919896924469381e+00 8.1899736237305039e+00 8.0937869976284826e+00 8.0103483912389812e+00 7.9503643375272182e+00 7.9287976818183292e+00 7.9673610768446173e+00 8.0976832339937026e+00 8.3676917998614329e+00 8.8532644215001124e+00 9.6821677904112953e+00 5.2589491430125357e-01 +3.0346435709527089e+01 9.9904658242975302e+01 9.9874610606242939e+01 9.9854258226657095e+01 9.9824173483655841e+01 9.9786381592451463e+01 9.9746448625993693e+01 9.9707887555486053e+01 9.9665744597537042e+01 9.9613286522186243e+01 9.9546859483611769e+01 9.9464505613807631e+01 9.9363688457349468e+01 9.9241183523995190e+01 9.9093287108062199e+01 9.8915854890224523e+01 9.8704070597020205e+01 9.8452165156270866e+01 9.8153360145411938e+01 9.7799817714277438e+01 9.7382525721348131e+01 9.6891189129821626e+01 9.6313972356422269e+01 9.5635450174676620e+01 9.4829013991814577e+01 9.3863182322987285e+01 9.2725317152891662e+01 9.1407162335558141e+01 8.9892176759650113e+01 8.8160629650892716e+01 8.6193082025655428e+01 8.3971937582084905e+01 8.1482885456452578e+01 7.8716562320703559e+01 7.5670399635113355e+01 7.2350534727221756e+01 6.8773571439634381e+01 6.4967950027069776e+01 6.0974599751042270e+01 5.6846585175104927e+01 5.2647486329446494e+01 4.8137745094601186e+01 4.3720547779747648e+01 3.9485681724919907e+01 3.5512899864330826e+01 3.1865442571855109e+01 2.8585579815319992e+01 2.5692877425162077e+01 2.3185311752814233e+01 2.1042792381067475e+01 1.9232087970325690e+01 1.7712333727435201e+01 1.6440347911492974e+01 1.5374729857571481e+01 1.4477689712468873e+01 1.3716991442772640e+01 1.3066549955789176e+01 1.2505611073815631e+01 1.2018235960945608e+01 1.1592151218915278e+01 1.1218280214922473e+01 1.0889341157839542e+01 1.0599991128800372e+01 1.0345572793282397e+01 1.0122781524887367e+01 9.9284002675900531e+00 9.7597388780088199e+00 9.6146691026231181e+00 9.4909641865941747e+00 9.3863975754338469e+00 9.2992940234796233e+00 9.2275939404614000e+00 9.1696514142466388e+00 9.1236141499185468e+00 9.0877939770636456e+00 9.0599383956473059e+00 9.0378872353056412e+00 9.0199225247482566e+00 9.0044681822174706e+00 8.9900637096755691e+00 8.9799291499448781e+00 8.9697144910680890e+00 8.9592998492807538e+00 8.9483944472136034e+00 8.9371452265293563e+00 8.9252391704678526e+00 8.9130221074765199e+00 8.8994835373701662e+00 8.8849940894489112e+00 8.8692870833208435e+00 8.8521542705617229e+00 8.8333425992163193e+00 8.8125670004900432e+00 8.7894288513398795e+00 8.7639241220423045e+00 8.7351615371613374e+00 8.7029133079879291e+00 8.6667115010258460e+00 8.6260525559555674e+00 8.5804171775579956e+00 8.5292845059550686e+00 8.4720890392421868e+00 8.4088598623964490e+00 8.3385591547718185e+00 8.2613993589662460e+00 8.1775590422769504e+00 8.0876958765478477e+00 7.9929287986014756e+00 7.8953875218804672e+00 7.7982508436626228e+00 7.7066647531066366e+00 7.6272169782810266e+00 7.5701019359894497e+00 7.5495668140462664e+00 7.5862857407925084e+00 7.7103746444843226e+00 7.9674688182103193e+00 8.4298167284409597e+00 9.2190739803619373e+00 4.9973400637073095e-01 +3.0403064623584385e+01 9.5315867192874109e+01 9.5286807696365926e+01 9.5267380678956613e+01 9.5238657676014995e+01 9.5202562653845135e+01 9.5164401014009101e+01 9.5127523801354016e+01 9.5087207231658411e+01 9.5037026590211397e+01 9.4973490327004185e+01 9.4894724643127944e+01 9.4798303836326085e+01 9.4681145058141581e+01 9.4539706907502293e+01 9.4370026776023010e+01 9.4167499699845777e+01 9.3926609889754005e+01 9.3640876632993496e+01 9.3302806672494768e+01 9.2903784559311703e+01 9.2433969097851858e+01 9.1882047401620468e+01 9.1233276532056067e+01 9.0462224060156615e+01 8.9538800750829154e+01 8.8450938995426512e+01 8.7190768250957305e+01 8.5742503139387381e+01 8.4087316969236554e+01 8.2206672522356101e+01 8.0083806383163648e+01 7.7705109327894874e+01 7.5061715449310114e+01 7.2151266801539990e+01 6.8979736951803787e+01 6.5563108138428476e+01 6.1928671948161700e+01 5.8115641606455441e+01 5.4174800489689368e+01 5.0166940277434158e+01 4.5863579271241754e+01 4.1649582653790624e+01 3.7610573514772327e+01 3.3822520326283424e+01 3.0345571434300776e+01 2.7219827516966486e+01 2.4463717943179113e+01 2.2075093029219744e+01 2.0034606504295368e+01 1.8310426673184164e+01 1.6863492037989221e+01 1.5652576249631641e+01 1.4638186367744650e+01 1.3784297839596965e+01 1.3060195997806613e+01 1.2441036926578102e+01 1.1907060589901295e+01 1.1443095703043163e+01 1.1037462251697612e+01 1.0681523789298794e+01 1.0368352065955440e+01 1.0092863910229260e+01 9.8506280774738340e+00 9.6385004654516031e+00 9.4534198051625342e+00 9.2928260456881304e+00 9.1546937398796082e+00 9.0369034540236584e+00 8.9373357006139749e+00 8.8543957397445769e+00 8.7861228116206664e+00 8.7309498295561081e+00 8.6871131707280469e+00 8.6530053752557112e+00 8.6264816040326622e+00 8.6054849503333042e+00 8.5883794740491570e+00 8.5736643852392955e+00 8.5599490197113628e+00 8.5502993205261948e+00 8.5405733616612398e+00 8.5306569907373646e+00 8.5202733401811184e+00 8.5095623206564479e+00 8.4982259008410619e+00 8.4865933139498146e+00 8.4737024746440479e+00 8.4599062504063927e+00 8.4449507197061724e+00 8.4286375973740668e+00 8.4107259382846991e+00 8.3909443122497187e+00 8.3689131774908532e+00 8.3446286482871539e+00 8.3172421589156453e+00 8.2865367896513984e+00 8.2520669945141858e+00 8.2133533052166037e+00 8.1699012714429085e+00 8.1212149530505542e+00 8.0667559132475368e+00 8.0065517987070027e+00 7.9396145073611999e+00 7.8661462898814820e+00 7.7863171705240575e+00 7.7007533560758388e+00 7.6105202498183484e+00 7.5176456726683138e+00 7.4251563462945382e+00 7.3379520153574580e+00 7.2623052890425388e+00 7.2079228229620034e+00 7.1883701799063529e+00 7.2233323515277030e+00 7.3414844227818756e+00 7.5862783453415892e+00 8.0265059892032706e+00 8.7780024877297222e+00 4.7486952511779124e-01 +3.0459693537641680e+01 9.0936175863924120e+01 9.0908068187201280e+01 9.0889525179149601e+01 9.0862102656935761e+01 9.0827629408633499e+01 9.0791161242427762e+01 9.0755895117237074e+01 9.0717326806439516e+01 9.0669325940411767e+01 9.0608556179808602e+01 9.0533224208794181e+01 9.0441010301029550e+01 9.0328967102626308e+01 9.0193708484115660e+01 9.0031445670006690e+01 8.9837775843921804e+01 8.9607425504154222e+01 8.9334198718052292e+01 8.9010931846338096e+01 8.8629388866555132e+01 8.8180162644371251e+01 8.7652440163739996e+01 8.7032130931341442e+01 8.6294927270856888e+01 8.5412071318525832e+01 8.4372040421425524e+01 8.3167331857818809e+01 8.1782881843613808e+01 8.0200726811696981e+01 7.8403189964815937e+01 7.6374301856125300e+01 7.4101121062512689e+01 7.1575253490832040e+01 6.8794538051456485e+01 6.5764786629565506e+01 6.2501381642561853e+01 5.9030510906549303e+01 5.5389741907253118e+01 5.1627673063860307e+01 4.7802428000810544e+01 4.3696093579571027e+01 3.9676037403583571e+01 3.5823909023951217e+01 3.2212069855602216e+01 2.8897725480355508e+01 2.5918916774820488e+01 2.3292999894357777e+01 2.1017715711348490e+01 1.9074437289481896e+01 1.7432675473271239e+01 1.6055093984487698e+01 1.4902334570396285e+01 1.3936725128042212e+01 1.3123924757431011e+01 1.2434668987160453e+01 1.1845296492109446e+01 1.1336994106769337e+01 1.0895321388202280e+01 1.0509163202296818e+01 1.0170302072431555e+01 9.8721462259475583e+00 9.6098596834474641e+00 9.3792263757596857e+00 9.1772549703088693e+00 9.0010324822422003e+00 8.8481226962806847e+00 8.7165980328033896e+00 8.6044412351226427e+00 8.5096347629281563e+00 8.4306605350318531e+00 8.3656519063924648e+00 8.3131168625487444e+00 8.2713762324311517e+00 8.2388994306622791e+00 8.2136441634445649e+00 8.1936518801917568e+00 8.1773647784030956e+00 8.1633537843383674e+00 8.1502947479326622e+00 8.1411068452027617e+00 8.1318463392125491e+00 8.1224045365938551e+00 8.1125178179635480e+00 8.1023193974969541e+00 8.0915255159482555e+00 8.0804496033072652e+00 8.0681756824250375e+00 8.0550397054337104e+00 8.0407999027164259e+00 8.0252674784236877e+00 8.0082130183353506e+00 7.9893780820859996e+00 7.9684013009581518e+00 7.9452789289351937e+00 7.9192030747658304e+00 7.8899671721983475e+00 7.8571469978031985e+00 7.8202860292806209e+00 7.7789134793183115e+00 7.7325571421185977e+00 7.6807043579979295e+00 7.6233814061906600e+00 7.5596475346921164e+00 7.4896952885374430e+00 7.4136865553024647e+00 7.3322175734974921e+00 7.2463027594341058e+00 7.1578728884825873e+00 7.0698098404638232e+00 6.9867788315414030e+00 6.9147523389836323e+00 6.8629724612503979e+00 6.8443555603574433e+00 6.8776445450729309e+00 6.9901421973392726e+00 7.2232209880831126e+00 7.6423806193951584e+00 8.3579126339994847e+00 4.5123749039909417e-01 +3.0516322451698976e+01 8.6756138845281754e+01 8.6728950053120272e+01 8.6711250370281704e+01 8.6685070525794544e+01 8.6652146741646945e+01 8.6617297640190500e+01 8.6583572964772898e+01 8.6546678102335221e+01 8.6500763481983313e+01 8.6442641217856590e+01 8.6370595046461702e+01 8.6282406643214131e+01 8.6175258261713736e+01 8.6045912313896267e+01 8.5890746316315315e+01 8.5705550829057444e+01 8.5485284114357469e+01 8.5224022644823350e+01 8.4914918065273184e+01 8.4550097256030924e+01 8.4120568215008262e+01 8.3615995955018320e+01 8.3022913873866514e+01 8.2318089855855860e+01 8.1474039158732126e+01 8.0479759755185569e+01 7.9328099771782476e+01 7.8004684402403129e+01 7.6492374077730403e+01 7.4774312948293101e+01 7.2835288411927834e+01 7.0662994611880166e+01 6.8249484944867135e+01 6.5592782243200318e+01 6.2698538936606163e+01 5.9581558721152803e+01 5.6266968859797593e+01 5.2790758596630909e+01 4.9199433654895167e+01 4.5548564807973207e+01 4.1630322684011063e+01 3.7795364285246507e+01 3.4121547725417088e+01 3.0677796562877063e+01 2.7518515772024454e+01 2.4679790480817157e+01 2.2177963475789348e+01 2.0010681494676334e+01 1.8160012784916834e+01 1.6596755857006450e+01 1.5285224878852503e+01 1.4187846230647807e+01 1.3268685664009324e+01 1.2495008017461497e+01 1.1838931141994847e+01 1.1277920457422036e+01 1.0794064626858479e+01 1.0373619082109684e+01 1.0006006424874936e+01 9.6834079478577131e+00 9.3995521098448922e+00 9.1498381711389420e+00 8.9302548473252727e+00 8.7379561932794907e+00 8.5701703646179297e+00 8.4245790240107166e+00 8.2993477563074478e+00 8.1925565828662830e+00 8.1022850341101034e+00 8.0270880232054527e+00 7.9651885277932548e+00 7.9151660299870308e+00 7.8754217897176568e+00 7.8444984411920800e+00 7.8204513618782379e+00 7.8014156815122142e+00 7.7859080252128230e+00 7.7725676285716174e+00 7.7601336927339437e+00 7.7513856126089919e+00 7.7425684113022974e+00 7.7335785948799947e+00 7.7241651618559724e+00 7.7144549485925316e+00 7.7041777883322373e+00 7.6936320622768575e+00 7.6819457040013575e+00 7.6694385566761909e+00 7.6558804243468499e+00 7.6410915489386406e+00 7.6248534984507517e+00 7.6069202042283957e+00 7.5869476053789828e+00 7.5649320913268818e+00 7.5401045064841989e+00 7.5122681468307819e+00 7.4810190968530916e+00 7.4459226883874718e+00 7.4065306711206693e+00 7.3623934441986947e+00 7.3130228979892813e+00 7.2584440116608659e+00 7.1977611268929227e+00 7.1311575463108756e+00 7.0587874079765429e+00 6.9812184081489539e+00 6.8994164023459854e+00 6.8152197382638473e+00 6.7313723456835302e+00 6.6523160743191294e+00 6.5837375482400793e+00 6.5344364157561978e+00 6.5167107296486178e+00 6.5484061452565525e+00 6.6555184417749862e+00 6.8774395603596670e+00 7.2765336909948646e+00 7.9578125780320281e+00 4.2877706537204308e-01 +3.0572951365756271e+01 8.2766735563792295e+01 8.2740431873975638e+01 8.2723538610040777e+01 8.2698545086801516e+01 8.2667101635261190e+01 8.2633800354029844e+01 8.2601550522123503e+01 8.2566257463702343e+01 8.2522339514118528e+01 8.2466750785955597e+01 8.2397848785947673e+01 8.2313512211596446e+01 8.2211047285098928e+01 8.2087358520389145e+01 8.1938982507491374e+01 8.1761894787297948e+01 8.1551275313482478e+01 8.1301461120869291e+01 8.1005905419298699e+01 8.0657082179156319e+01 8.0246396416409311e+01 7.9763970273315380e+01 7.9196933719355243e+01 7.8523083131625697e+01 7.7716151156228648e+01 7.6765633133669510e+01 7.5664711838620718e+01 7.4399670282431103e+01 7.2954155518914519e+01 7.1312094961225000e+01 6.9458997439318651e+01 6.7383161959166088e+01 6.5077066302921864e+01 6.2538905049745530e+01 5.9774173531671131e+01 5.6797117156221589e+01 5.3631844229914158e+01 5.0312830562268644e+01 4.6884577632305088e+01 4.3400213685915674e+01 3.9661530355700592e+01 3.6003226052796194e+01 3.2499541326720291e+01 2.9216123249380928e+01 2.6204711570542980e+01 2.3499534552628671e+01 2.1115978232662766e+01 1.9051609324179267e+01 1.7289167762256774e+01 1.5800686998799357e+01 1.4552060040759114e+01 1.3507418105279360e+01 1.2632485547000281e+01 1.1896058594123916e+01 1.1271572691682021e+01 1.0737566772374132e+01 1.0276988411305441e+01 9.8767556081963512e+00 9.5268028512865754e+00 9.2196909693435618e+00 8.9494531861467426e+00 8.7117126236500653e+00 8.5026528901584797e+00 8.3195664003458738e+00 8.1598156487376343e+00 8.0211945031649066e+00 7.9019572345609577e+00 7.8002764768012094e+00 7.7143241864325063e+00 7.6427247807231486e+00 7.5837865809446843e+00 7.5361571594149535e+00 7.4983143765205842e+00 7.4688706038272707e+00 7.4459742461328942e+00 7.4278496585840603e+00 7.4130843589554480e+00 7.4003826460948456e+00 7.3885440588485691e+00 7.3802148665583642e+00 7.3718198690779406e+00 7.3632605246079059e+00 7.3542978490547313e+00 7.3450526045971145e+00 7.3352675695181908e+00 7.3252267948447134e+00 7.3141000315466300e+00 7.3021917819701736e+00 7.2892828729449830e+00 7.2752021539832832e+00 7.2597416525481409e+00 7.2426670828146635e+00 7.2236508674009192e+00 7.2026895270382711e+00 7.1790507947899078e+00 7.1525473608115364e+00 7.1227946508767275e+00 7.0893788106770881e+00 7.0518730541709891e+00 7.0098493094751166e+00 6.9628428479657885e+00 6.9108774128366877e+00 6.8531002899391922e+00 6.7896859807216554e+00 6.7207812426032625e+00 6.6469265881725921e+00 6.5690416236185589e+00 6.4888766684618897e+00 6.4090442683525755e+00 6.3337735407016371e+00 6.2684788599854082e+00 6.2215384859503784e+00 6.2046615928933528e+00 6.2348392922393794e+00 6.3368225727668106e+00 6.5481171176936028e+00 6.9281008527306156e+00 7.5767570418275803e+00 4.0743040282512716e-01 +3.0629580279813567e+01 7.8959346414051836e+01 7.8933897806521216e+01 7.8917773673617745e+01 7.8893913144965424e+01 7.8863884262972277e+01 7.8832062758875011e+01 7.8801224022057838e+01 7.8767464147964034e+01 7.8725457085497865e+01 7.8672292767086418e+01 7.8606399331979617e+01 7.8525748306017462e+01 7.8427764479596831e+01 7.8309488306571041e+01 7.8167608541190489e+01 7.7998277668590362e+01 7.7796887694162265e+01 7.7558024880445089e+01 7.7275430872294550e+01 7.6941911597730680e+01 7.6549251757473087e+01 7.6088010625874816e+01 7.5545888605922059e+01 7.4901665534372086e+01 7.4130238121403423e+01 7.3221576843778081e+01 7.2169183661524187e+01 7.0959969635282178e+01 6.9578332741324161e+01 6.8008947677932468e+01 6.6238010929546249e+01 6.4254397119495650e+01 6.2050986471741062e+01 5.9626133854428588e+01 5.6985179974825442e+01 5.4141831734712731e+01 5.1119218517023597e+01 4.7950364916616657e+01 4.4677852963279598e+01 4.1352474020464712e+01 3.7785199003716066e+01 3.4295486307357955e+01 3.0954124927772192e+01 2.7823639346762249e+01 2.4953233016568177e+01 2.2375371299759390e+01 2.0104537046674988e+01 1.8138229936671554e+01 1.6459838743521313e+01 1.5042581206131416e+01 1.3853860599614418e+01 1.2859436691462262e+01 1.2026616754200635e+01 1.1325657460949859e+01 1.0731250123677759e+01 1.0222956448628779e+01 9.7845420318899112e+00 9.4035557165038863e+00 9.0704192618225807e+00 8.7780547207624391e+00 8.5207853578255843e+00 8.2944473254614124e+00 8.0954097075836611e+00 7.9210965887039624e+00 7.7689983264817402e+00 7.6370155925042411e+00 7.5234870793667517e+00 7.4266735904140742e+00 7.3448350845511525e+00 7.2766621587655189e+00 7.2205444020266007e+00 7.1751942316802886e+00 7.1391624593550738e+00 7.1111278762460897e+00 7.0893274900024350e+00 7.0720706367690802e+00 7.0580123587983925e+00 7.0459189253662533e+00 7.0346473420198183e+00 7.0267170930592782e+00 7.0187241966821103e+00 7.0105748276344846e+00 7.0020414470984678e+00 6.9932390323276010e+00 6.9839226898276747e+00 6.9743628249974385e+00 6.9637690120260345e+00 6.9524311441985285e+00 6.9401405462791281e+00 6.9267342655308433e+00 6.9120142908548630e+00 6.8957575582387030e+00 6.8776521885319770e+00 6.8576948296681079e+00 6.8351883439410610e+00 6.8099543696716207e+00 6.7816267529903493e+00 6.7498114624236427e+00 6.7141021541950607e+00 6.6740912602812550e+00 6.6293363194176065e+00 6.5798598997158813e+00 6.5248501835457562e+00 6.4644732914759953e+00 6.3988689517026520e+00 6.3285517874622315e+00 6.2543973577232475e+00 6.1780721452089686e+00 6.1020635668158842e+00 6.0303981386161736e+00 5.9682309457527749e+00 5.9235389246298782e+00 5.9074704096406432e+00 5.9362026574099875e+00 6.0333011357792961e+00 6.2344750823890926e+00 6.5962583465509104e+00 7.2138451412203937e+00 3.8714249898034470e-01 +3.0686209193870862e+01 7.5325740845001988e+01 7.5301116151892685e+01 7.5285726269317607e+01 7.5262948287204921e+01 7.5234270631158708e+01 7.5203863618527649e+01 7.5174374913692390e+01 7.5142082489508525e+01 7.5101904167667556e+01 7.5051059765286112e+01 7.4988045058186103e+01 7.4910920384897665e+01 7.4817223932582110e+01 7.4704126198165440e+01 7.4568461487296176e+01 7.4406551536648209e+01 7.4213991177825974e+01 7.3985605053949939e+01 7.3715410678983559e+01 7.3396531457881508e+01 7.3021115189559438e+01 7.2580139147643848e+01 7.2061849161427759e+01 7.1445965441531271e+01 7.0708497744788573e+01 6.9839870433637060e+01 6.8833889895956531e+01 6.7678066803585622e+01 6.6357515955017263e+01 6.4857624987997724e+01 6.3165245823436386e+01 6.1269800847630975e+01 5.9164551885828651e+01 5.6848003316059220e+01 5.4325343793489793e+01 5.1609760863574010e+01 4.8723443510362387e+01 4.5698024846124234e+01 4.2574248736943957e+01 3.9400670824384051e+01 3.5997019679184461e+01 3.2668200284100486e+01 2.9481708580922557e+01 2.6497093225037155e+01 2.3761144145557239e+01 2.1304653094275949e+01 1.9141250401260724e+01 1.7268380654903201e+01 1.5670059257820832e+01 1.4320639575105357e+01 1.3188969490454030e+01 1.2242364393198683e+01 1.1449642196854638e+01 1.0782452325062954e+01 1.0216683093281524e+01 9.7328706189232062e+00 9.3155595592079408e+00 8.9528993834899762e+00 8.6357756821408707e+00 8.3574542979256368e+00 8.1125345186500191e+00 7.8970552168737216e+00 7.7075619872970957e+00 7.5416042158168324e+00 7.3967939577870050e+00 7.2711335456220967e+00 7.1630420330182369e+00 7.0708641615870329e+00 6.9929436793202688e+00 6.9280341965634182e+00 6.8746026875129154e+00 6.8314233230979307e+00 6.7971163896936391e+00 6.7704239372979744e+00 6.7496673609747306e+00 6.7332369340756255e+00 6.7198520141830747e+00 6.7083378942609899e+00 6.6976063112590607e+00 6.6900560048913267e+00 6.6824460581533867e+00 6.6746871378969184e+00 6.6665626055252156e+00 6.6581819289425486e+00 6.6493119552863948e+00 6.6402100963438428e+00 6.6301238498802277e+00 6.6193291971717860e+00 6.6076274609297450e+00 6.5948634957073891e+00 6.5808487774068185e+00 6.5653709293351739e+00 6.5481330224715437e+00 6.5291318279537638e+00 6.5077036612686232e+00 6.4836786839488401e+00 6.4567082851298521e+00 6.4264173120502006e+00 6.3924188895367040e+00 6.3543249768646675e+00 6.3117143191436966e+00 6.2646083673362414e+00 6.2122342497234184e+00 6.1547501063418206e+00 6.0922889709418433e+00 6.0253408104825565e+00 5.9547392346312549e+00 5.8820708823601908e+00 5.8097040011610384e+00 5.7414721572685563e+00 5.6822834936141238e+00 5.6397327389131808e+00 5.6244340994630910e+00 5.6517897407765769e+00 5.7442360745821821e+00 5.9357714553949119e+00 6.2802211156556949e+00 6.8682183167830804e+00 3.6786105440653727e-01 +3.0742838107928158e+01 7.1858052466208306e+01 7.1834224464592921e+01 7.1819536044879428e+01 7.1797790777708229e+01 7.1770404609765748e+01 7.1741349946283407e+01 7.1713152805380062e+01 7.1682264845531421e+01 7.1643836607627065e+01 7.1595212067540160e+01 7.1534951779364860e+01 7.1461201050194632e+01 7.1371606512567496e+01 7.1263463063335834e+01 7.1133744230060159e+01 7.0978933638351847e+01 7.0794820116777515e+01 7.0576456308938049e+01 7.0318123571576137e+01 7.0013248930314063e+01 6.9654327411215846e+01 6.9232735981360207e+01 6.8737241972041474e+01 6.8148464746523914e+01 6.7443478299037466e+01 6.6613140565688497e+01 6.5651548277698950e+01 6.4546784551988736e+01 6.3284648438710178e+01 6.1851207728003345e+01 6.0233939048251237e+01 5.8422786019873691e+01 5.6411372278643867e+01 5.4198341573910689e+01 5.1788733167617934e+01 4.9195233781490955e+01 4.6439129070548312e+01 4.3550718004910031e+01 4.0568984204342783e+01 3.7540344450927385e+01 3.4292882531818805e+01 3.1117606057434138e+01 2.8078869235567360e+01 2.5233384851885774e+01 2.2625646223567543e+01 2.0284856332512096e+01 1.8223840910940659e+01 1.6440000421870213e+01 1.4917955317111096e+01 1.3633147846972166e+01 1.2555807635207673e+01 1.1654735977631578e+01 1.0900192409151996e+01 1.0265154512739851e+01 9.7266514761482412e+00 9.2661477324737582e+00 8.8689298808228862e+00 8.5237192364694732e+00 8.2218429003930300e+00 7.9568939067862718e+00 7.7237342224327490e+00 7.5185956255665500e+00 7.3381916875337998e+00 7.1801910333623864e+00 7.0423215461948487e+00 6.9226823225401413e+00 6.8197689108037016e+00 6.7320059614835150e+00 6.6578169989211489e+00 6.5960156310305109e+00 6.5451425191146386e+00 6.5040306427129231e+00 6.4713664511034477e+00 6.4459522416880750e+00 6.4261897808290138e+00 6.4105464265356833e+00 6.3978027940525202e+00 6.3868403925375468e+00 6.3766230844598129e+00 6.3694346193264053e+00 6.3621893773234151e+00 6.3548023035364460e+00 6.3470671403605889e+00 6.3390881088489932e+00 6.3306432370528682e+00 6.3219775641612488e+00 6.3123747019530274e+00 6.3020973837088325e+00 6.2909564537363032e+00 6.2788042019111066e+00 6.2654611391546258e+00 6.2507250669069947e+00 6.2343132936288121e+00 6.2162227097079370e+00 6.1958214873071151e+00 6.1729479062311468e+00 6.1472700628450996e+00 6.1184307836166791e+00 6.0860617344493058e+00 6.0497934715610571e+00 6.0092249356834753e+00 5.9643765157562738e+00 5.9145124278068595e+00 5.8597832126827365e+00 5.8003155286255268e+00 5.7365758610201567e+00 5.6693578688408497e+00 5.6001721513352400e+00 5.5312734639067775e+00 5.4663116174414865e+00 5.4099595754713325e+00 5.3694480697594260e+00 5.3548826259094140e+00 5.3809272470312743e+00 5.4689430807591899e+00 5.6512991107435848e+00 5.9792410000037695e+00 6.5390583604121337e+00 3.4953634169982195e-01 +3.0799467021985453e+01 6.8548773117140755e+01 6.8525711953504498e+01 6.8511693626622233e+01 6.8490935162857596e+01 6.8464782396361528e+01 6.8437020625141287e+01 6.8410059138601554e+01 6.8380515290639764e+01 6.8343761826046958e+01 6.8297261350923392e+01 6.8239636468664528e+01 6.8169113776911814e+01 6.8083443613673722e+01 6.7980039874905259e+01 6.7856009252535216e+01 6.7707990214013194e+01 6.7531957135768863e+01 6.7323180728251046e+01 6.7076194682278143e+01 6.6784716385129883e+01 6.6441572904108412e+01 6.6038523385706384e+01 6.5564833775682871e+01 6.5001983153582231e+01 6.4328063055736010e+01 6.3534345577794468e+01 6.2615204352489613e+01 6.1559268991760256e+01 6.0352991688441456e+01 5.8983089086908713e+01 5.7437633215410152e+01 5.5707063663150471e+01 5.3785347083646023e+01 5.1671257064610316e+01 4.9369686206666614e+01 4.6892838340064458e+01 4.4261131457595773e+01 4.1503585428432110e+01 3.8657498311163828e+01 3.5767240771047959e+01 3.2668867698030411e+01 2.9640116145424631e+01 2.6742343049802184e+01 2.4029558787747611e+01 2.1544071388354904e+01 1.9313575674387373e+01 1.7350138102760106e+01 1.5651125064324349e+01 1.4201741101203639e+01 1.2978472456229042e+01 1.1952870300556615e+01 1.1095155195507996e+01 1.0376962390313116e+01 9.7725359990052141e+00 9.2599925572878696e+00 8.8216808799960909e+00 8.4435941434380872e+00 8.1149980972408411e+00 7.8276400992508961e+00 7.5754245726785578e+00 7.3534634600479656e+00 7.1581721030232854e+00 6.9864239256205165e+00 6.8360010213306266e+00 6.7047415126142313e+00 6.5908365978404229e+00 6.4928546386350314e+00 6.4092963573438517e+00 6.3386612328975884e+00 6.2798199984832763e+00 6.2313834800437302e+00 6.1922406603201479e+00 6.1611409965556829e+00 6.1369441646150262e+00 6.1181284759744745e+00 6.1032347029468124e+00 6.0911018052638495e+00 6.0806648334654856e+00 6.0709372929194600e+00 6.0640934247818254e+00 6.0571955065255585e+00 6.0501625577433904e+00 6.0427982071614519e+00 6.0352016790684466e+00 6.0271616491917257e+00 6.0189113756673915e+00 6.0097688605461945e+00 5.9999842216049304e+00 5.9893773709641884e+00 5.9778076794927282e+00 5.9651042625151387e+00 5.9510746145517510e+00 5.9354496026202579e+00 5.9182262325495962e+00 5.8988030123548834e+00 5.8770259543331225e+00 5.8525790658288486e+00 5.8251222956971498e+00 5.7943049672691140e+00 5.7597753474064683e+00 5.7211516096417183e+00 5.6784531332497048e+00 5.6309794519960255e+00 5.5788738707577918e+00 5.5222569761061084e+00 5.4615728909382391e+00 5.3975772274929197e+00 5.3317081691972499e+00 5.2661123878474436e+00 5.2042646980522376e+00 5.1506140898467621e+00 5.1120446464249545e+00 5.0981774551168666e+00 5.1229735366718749e+00 5.2067700194939714e+00 5.3803841688783338e+00 5.6926050152318473e+00 6.2255855330528371e+00 3.3212107960381598e-01 +3.0856095936042749e+01 6.5390726947067677e+01 6.5368405764956464e+01 6.5355027040096360e+01 6.5335211664952467e+01 6.5310236658449313e+01 6.5283710858348243e+01 6.5257931573833446e+01 6.5229674026487601e+01 6.5194523229409796e+01 6.5150055102361506e+01 6.5094951687507631e+01 6.5027517354457203e+01 6.4945601611517304e+01 6.4846732183929532e+01 6.4728143130662062e+01 6.4586621016856853e+01 6.4418317681220827e+01 6.4218712395146525e+01 6.3982580170210241e+01 6.3703916068409534e+01 6.3375864668427738e+01 6.2990550540180379e+01 6.2537716348591815e+01 6.1999663161884278e+01 6.1355455386998550e+01 6.0596760723398070e+01 5.9718216877634632e+01 5.8708975168490426e+01 5.7556111219811228e+01 5.6246960654505479e+01 5.4770162949176829e+01 5.3116629601311523e+01 5.1280652437934528e+01 4.9261125924279220e+01 4.7062798792812472e+01 4.4697409330110723e+01 4.2184542180808862e+01 3.9551990943954053e+01 3.6835439700757895e+01 3.4077301793939135e+01 3.1121236601576538e+01 2.8232309495686732e+01 2.5469018052531016e+01 2.2882797501233746e+01 2.0513876582428168e+01 1.8388518547749779e+01 1.6518073438443370e+01 1.4899882775138163e+01 1.3519714842171972e+01 1.2355056761641107e+01 1.1378723624504959e+01 1.0562291557948804e+01 9.8787085929377465e+00 9.3034265748314731e+00 8.8155983500690507e+00 8.3984152425627947e+00 8.0385433134196909e+00 7.7257666393704589e+00 7.4522325973943460e+00 7.2121419555212878e+00 7.0008445392227907e+00 6.8149303610276331e+00 6.6514249642228451e+00 6.5082184176634952e+00 6.3832537627896508e+00 6.2748098608982525e+00 6.1815243814813554e+00 6.1019704648493143e+00 6.0347199048005420e+00 5.9786978241439055e+00 5.9325818583897538e+00 5.8953143210682093e+00 5.8657046719701080e+00 5.8426672322261544e+00 5.8247532132729507e+00 5.8105733050506494e+00 5.7990220362360292e+00 5.7890854504122435e+00 5.7798243307795509e+00 5.7733086322008145e+00 5.7667414799928496e+00 5.7600457741821467e+00 5.7530345585703193e+00 5.7458022989380861e+00 5.7381478107363160e+00 5.7302931344611148e+00 5.7215890204814057e+00 5.7122735735412515e+00 5.7021753413043994e+00 5.6911604380429424e+00 5.6790661733095105e+00 5.6657092726047811e+00 5.6508335147896869e+00 5.6344360173704686e+00 5.6159441755806458e+00 5.5952113666436869e+00 5.5719367503424104e+00 5.5457965816683297e+00 5.5164569996006172e+00 5.4835831373262094e+00 5.4468114839607829e+00 5.4061604589169798e+00 5.3609632276621522e+00 5.3113562050615659e+00 5.2574541954592151e+00 5.1996800253311379e+00 5.1387530739679557e+00 5.0760425612299684e+00 5.0135922276013609e+00 4.9547102354976911e+00 4.9036322766866087e+00 4.8669123123831843e+00 4.8537100857581184e+00 4.8773171488040621e+00 4.9570954282171300e+00 5.1223844452103977e+00 5.4196337111705244e+00 5.9270567695881970e+00 3.1557031325807433e-01 +3.0912724850100044e+01 6.2377060889007446e+01 6.2355455039690284e+01 6.2342686639310692e+01 6.2323771056468949e+01 6.2299921877836063e+01 6.2274577358032765e+01 6.2249929079129210e+01 6.2222902474610123e+01 6.2189285305611754e+01 6.2146761721354331e+01 6.2094070696980168e+01 6.2029591009839230e+01 6.1951266999908036e+01 6.1856735272901858e+01 6.1743351707011293e+01 6.1608044510731574e+01 6.1447135247519782e+01 6.1256302653606447e+01 6.1030552522244719e+01 6.0764145451114388e+01 6.0450529628201025e+01 6.0082179016655793e+01 5.9649292055252630e+01 5.9134955708970921e+01 5.8519164520973625e+01 5.7793964060009202e+01 5.6954243865148506e+01 5.5989653284652846e+01 5.4887862996976061e+01 5.3636799086138375e+01 5.2225641820332122e+01 5.0645751692781566e+01 4.8891728762065377e+01 4.6962579950269358e+01 4.4862912965197715e+01 4.2604017328858312e+01 4.0204677347540851e+01 3.7691511056602877e+01 3.5098657167440429e+01 3.2466656710785983e+01 2.9646423648299649e+01 2.6890923835727421e+01 2.4255927140421818e+01 2.1790414990562727e+01 1.9532637764602775e+01 1.7507499905713232e+01 1.5725675566084064e+01 1.4184489804292635e+01 1.2870254899276052e+01 1.1761417451814095e+01 1.0832001303814053e+01 1.0054877262756204e+01 9.4042460508215324e+00 8.8567111454913672e+00 8.3924130394611627e+00 7.9953456585802325e+00 7.6528158502558901e+00 7.3551011538252542e+00 7.0947296955441752e+00 6.8661842661052752e+00 6.6650410624767984e+00 6.4880563036470127e+00 6.3324002906687165e+00 6.1960658390815926e+00 6.0770958441972160e+00 5.9738526040099948e+00 5.8850397583306604e+00 5.8092993860157325e+00 5.7452721293620836e+00 5.6919348954090800e+00 5.6480289336278755e+00 5.6125473426678436e+00 5.5843567219102299e+00 5.5624234339731249e+00 5.5453681175586329e+00 5.5318680490882199e+00 5.5208706818545128e+00 5.5114106246803241e+00 5.5025936854844746e+00 5.4963905073896067e+00 5.4901383480930130e+00 5.4837638031401372e+00 5.4770888825177755e+00 5.4702035204347537e+00 5.4629161881932697e+00 5.4554382452900816e+00 5.4471516263737882e+00 5.4382829970537419e+00 5.4286691287143753e+00 5.4181825574719911e+00 5.4066683963381861e+00 5.3939521616034414e+00 5.3797899279166037e+00 5.3641789207806019e+00 5.3465740427988910e+00 5.3268356858832986e+00 5.3046774397106411e+00 5.2797910877885599e+00 5.2518587828605909e+00 5.2205617201381136e+00 5.1855538305678177e+00 5.1468526210767793e+00 5.1038232827922556e+00 5.0565956700795036e+00 5.0052790807947058e+00 4.9502760605490259e+00 4.8922714835222170e+00 4.8325688946615282e+00 4.7731140113621011e+00 4.7170562924341022e+00 4.6684283009275980e+00 4.6334696194811142e+00 4.6209006469995639e+00 4.6433753922830805e+00 4.7193270846771451e+00 4.8766879704683967e+00 5.1596796063597559e+00 5.6427639667308132e+00 2.9984130027814271e-01 +3.0969353764157340e+01 5.9501230579619822e+01 5.9480315227647417e+01 5.9468128909224106e+01 5.9450072982402681e+01 5.9427299554120061e+01 5.9403084056638328e+01 5.9379517685189334e+01 5.9353669020764542e+01 5.9321519373219893e+01 5.9280856275091679e+01 5.9230473222011177e+01 5.9168820182582500e+01 5.9093932179141845e+01 5.9003549960133604e+01 5.8895145914183246e+01 5.8765783716502334e+01 5.8611947251220357e+01 5.8429506015034711e+01 5.8213686498631958e+01 5.7959003220437317e+01 5.7659194676741819e+01 5.7307068888810214e+01 5.6893260033075471e+01 5.6401606444885516e+01 5.5812991923942626e+01 5.5119822958958963e+01 5.4317229240100204e+01 5.3395335529309548e+01 5.2342380459301843e+01 5.1146853355623143e+01 4.9798449856774688e+01 4.8288957633095507e+01 4.6613268890721955e+01 4.4770495097923352e+01 4.2765105821453794e+01 4.0607958044904365e+01 3.8317067488663589e+01 3.5917925288975752e+01 3.3443190539356671e+01 3.0931613343337968e+01 2.8241028297359815e+01 2.5612848371029205e+01 2.3100241394456233e+01 2.0749850697071931e+01 1.8598044387482041e+01 1.6668437225434872e+01 1.4971065791036716e+01 1.3503246349218792e+01 1.2251816015540712e+01 1.1196141117211331e+01 1.0311401434961288e+01 9.5717042629660885e+00 8.9524456399267613e+00 8.4313271541127222e+00 7.9894305437157156e+00 7.6115143034284074e+00 7.2854954877411178e+00 7.0021214181416456e+00 6.7542826222221892e+00 6.5367302788592605e+00 6.3452559986321520e+00 6.1767741502806368e+00 6.0285927852866532e+00 5.8988024888705448e+00 5.7855411882451842e+00 5.6872505944569474e+00 5.6026971398390542e+00 5.5305885286119567e+00 5.4696309503841150e+00 5.4188506150963063e+00 5.3770493424921941e+00 5.3432685914562494e+00 5.3164293737829054e+00 5.2955476130669670e+00 5.2793100670071889e+00 5.2664574251017786e+00 5.2559875459430776e+00 5.2469812906656168e+00 5.2385873455130003e+00 5.2326817805699912e+00 5.2267295886754557e+00 5.2206608847525997e+00 5.2143062173341717e+00 5.2077512052493065e+00 5.2008135147523049e+00 5.1936943354204308e+00 5.1858052964369143e+00 5.1773621708765800e+00 5.1682095615755550e+00 5.1582261201584272e+00 5.1472643908693891e+00 5.1351582614482547e+00 5.1216755154779827e+00 5.1068134829032017e+00 5.0900532593422607e+00 5.0712619177396423e+00 5.0501667893178634e+00 5.0264744453898365e+00 4.9998822885640530e+00 4.9700868099056326e+00 4.9367585498670641e+00 4.8999141479429138e+00 4.8589492911123600e+00 4.8139875870998523e+00 4.7651330899264126e+00 4.7127690317651831e+00 4.6575474276254134e+00 4.6007092803317802e+00 4.5441069597324040e+00 4.4907387928442635e+00 4.4444439015838526e+00 4.4111624871890065e+00 4.3991965613780808e+00 4.4205930020674664e+00 4.4929006413685633e+00 4.6427115795651623e+00 4.9121256949992915e+00 5.3720323502139724e+00 2.8489340238488431e-01 +3.1025982678214636e+01 5.6756985405765278e+01 5.6736735266267324e+01 5.6725105620728726e+01 5.6707870287753785e+01 5.6686124400277670e+01 5.6662988341511820e+01 5.6640456854145640e+01 5.6615735382398888e+01 5.6584989955879571e+01 5.6546106878551747e+01 5.6497931840024847e+01 5.6438982923814322e+01 5.6367381867537460e+01 5.6280969026667243e+01 5.6177328220291159e+01 5.6053652679779255e+01 5.5906581524814541e+01 5.5732166683915899e+01 5.5525845695502859e+01 5.5282375886253277e+01 5.4995773335325175e+01 5.4659165451851393e+01 5.4263602983970316e+01 5.3793642610156233e+01 5.3231018281465445e+01 5.2568481208630793e+01 5.1801390085955482e+01 5.0920323488139104e+01 4.9914062121336151e+01 4.8771632572170539e+01 4.7483221607154931e+01 4.6041023298345223e+01 4.4440206730395921e+01 4.2679980488949020e+01 4.0764678913979260e+01 3.8704742139354117e+01 3.6517447839868581e+01 3.4227206954818968e+01 3.1865261972351593e+01 2.9468649978619634e+01 2.6901807492044533e+01 2.4395116815669343e+01 2.1999263701728260e+01 1.9758663697631167e+01 1.7707894128556788e+01 1.5869345737379462e+01 1.4252453755989940e+01 1.2854532635201883e+01 1.1662925747699102e+01 1.0657880981104148e+01 9.8156835015283423e+00 9.1116214715181449e+00 8.5222314663494654e+00 8.0262621246883565e+00 7.6056921889708828e+00 7.2460084766626380e+00 6.9357091179668453e+00 6.6659886642633488e+00 6.4300825746768240e+00 6.2229974366570397e+00 6.0407298436775987e+00 5.8803446457133104e+00 5.7392809745022788e+00 5.6157224476923897e+00 5.5078974339087727e+00 5.4143232265275261e+00 5.3338260248275784e+00 5.2651760034830151e+00 5.2071417556149875e+00 5.1587964309105567e+00 5.1189995204961125e+00 5.0868385336669633e+00 5.0612862968136225e+00 5.0414059315216937e+00 5.0259471628888432e+00 5.0137110703518690e+00 5.0037435177146197e+00 4.9951694149322714e+00 4.9871782818935033e+00 4.9815561295825326e+00 4.9758895920067019e+00 4.9701121356697442e+00 4.9640624403010332e+00 4.9578220152662587e+00 4.9512172827398366e+00 4.9444397491716074e+00 4.9369293192612389e+00 4.9288913941996544e+00 4.9201780345944890e+00 4.9106737157684632e+00 4.9002380586135379e+00 4.8887129228719237e+00 4.8758772420691923e+00 4.8617284470778275e+00 4.8457725746488265e+00 4.8278830608473742e+00 4.8078003227561821e+00 4.7852450138730198e+00 4.7599290590296279e+00 4.7315635152633000e+00 4.6998347397336930e+00 4.6647585472844248e+00 4.6257596636397826e+00 4.5829557487744124e+00 4.5364458630952287e+00 4.4865948468918129e+00 4.4340234238869325e+00 4.3799130390392538e+00 4.3260271685377019e+00 4.2752202203006844e+00 4.2311471034747203e+00 4.1994629239167081e+00 4.1880712696133768e+00 4.2084408578522119e+00 4.2772783231403944e+00 4.4198995658112885e+00 4.6763840230825195e+00 5.1142189176014554e+00 2.7068798231432906e-01 +3.1082611592271931e+01 5.4138353704802206e+01 5.4118746805692339e+01 5.4107648373139007e+01 5.4091196925032584e+01 5.4070432196918304e+01 5.4048328023147860e+01 5.4026786434748630e+01 5.4003143573399811e+01 5.3973741754950545e+01 5.3936561672230724e+01 5.3890498966171471e+01 5.3834136891764636e+01 5.3765680109345453e+01 5.3683064238851074e+01 5.3583979669424963e+01 5.3465743532474569e+01 5.3325143403938057e+01 5.3158405674496493e+01 5.2961169697693840e+01 5.2728424976211542e+01 5.2454452997786433e+01 5.2132686525684036e+01 5.1754574547010868e+01 5.1305360490454014e+01 5.0767591052483397e+01 5.0134346685813142e+01 4.9401204452665667e+01 4.8559176109387188e+01 4.7597559719907473e+01 4.6505894335258006e+01 4.5274834732923040e+01 4.3896961604809789e+01 4.2367706420628757e+01 4.0686367908780760e+01 3.8857148119160371e+01 3.6890085501932980e+01 3.4801749058476346e+01 3.2615514347580316e+01 3.0361267635965991e+01 2.8074407573002443e+01 2.5625668433966144e+01 2.3234900740119951e+01 2.0950422668722574e+01 1.8814527163260042e+01 1.6860087863855124e+01 1.5108333874422616e+01 1.3568133320560804e+01 1.2236805177133576e+01 1.1102181061580172e+01 1.0145353782099843e+01 9.3436655014158632e+00 8.6735320954817237e+00 8.1125783754116085e+00 7.6405513190419745e+00 7.2402844918471434e+00 6.8979584917811403e+00 6.6026247734258314e+00 6.3459036405798486e+00 6.1213588505543184e+00 5.9242400434459856e+00 5.7507388668320587e+00 5.5980633529884383e+00 5.4637773649153782e+00 5.3461530435676892e+00 5.2435048290024868e+00 5.1544219499393087e+00 5.0777874919429644e+00 5.0124310960702845e+00 4.9571807650338338e+00 4.9111543377344171e+00 4.8732662156933939e+00 4.8426477584515188e+00 4.8183211324798432e+00 4.7993944063106690e+00 4.7846772701467373e+00 4.7730283135010438e+00 4.7635391188207592e+00 4.7553765457572776e+00 4.7477690000638457e+00 4.7424167333771772e+00 4.7370222159083513e+00 4.7315221058943377e+00 4.7257628262011400e+00 4.7198219729169244e+00 4.7135343059317050e+00 4.7070821121816033e+00 4.6999322202710303e+00 4.6922801554446414e+00 4.6839850801014382e+00 4.6749370153107668e+00 4.6650023208382194e+00 4.6540304479220582e+00 4.6418109475577003e+00 4.6283413481530262e+00 4.6131514351566540e+00 4.5961207048975288e+00 4.5770020357413870e+00 4.5555294912107156e+00 4.5314288252115213e+00 4.5044249655240352e+00 4.4742193307876574e+00 4.4408269519354064e+00 4.4037002054791090e+00 4.3629510883735581e+00 4.3186739057314059e+00 4.2712159837894985e+00 4.2211682485460553e+00 4.1696554297727948e+00 4.1183563526616762e+00 4.0699883765585216e+00 4.0280309885887453e+00 3.9978678076298979e+00 3.9870230144953309e+00 4.0064147620345913e+00 4.0719476852243934e+00 4.2077223975047131e+00 4.4518943305128555e+00 4.8687109532689004e+00 2.5718830575221474e-01 +3.1139240506329227e+01 5.1639634644251188e+01 5.1620648362887806e+01 5.1610057299746821e+01 5.1594354163506949e+01 5.1574526812347408e+01 5.1553408894898261e+01 5.1532814194474724e+01 5.1510203440490308e+01 5.1482087193400403e+01 5.1446536371599024e+01 5.1402494410824964e+01 5.1348606918796186e+01 5.1283157852955334e+01 5.1204173941019839e+01 5.1109447490987577e+01 5.0996414122773096e+01 5.0862003381369171e+01 5.0702608494115061e+01 5.0514061795949210e+01 5.0291574793515856e+01 5.0029682736092902e+01 4.9722110317035302e+01 4.9360687226650413e+01 4.8931313424070929e+01 4.8417312571555854e+01 4.7812079570465464e+01 4.7111399702318721e+01 4.6306698200666872e+01 4.5387766885107325e+01 4.4344633605071017e+01 4.3168399105558713e+01 4.1852011863629386e+01 4.0391151977080654e+01 3.8785201771927120e+01 3.7038233958526462e+01 3.5159899961983982e+01 3.3166088356580318e+01 3.1079182324865187e+01 2.8927769774710175e+01 2.6745682309180893e+01 2.4409661685446149e+01 2.2129503222368484e+01 1.9951266812793314e+01 1.7915223072026613e+01 1.6052624872612807e+01 1.4383598930942286e+01 1.2916478631392389e+01 1.1648593214378238e+01 1.0568245085235400e+01 9.6573368012209571e+00 8.8942212072719222e+00 8.2563910940706471e+00 7.7225095764080791e+00 7.2732755024673930e+00 6.8923370447359789e+00 6.5665356638774091e+00 6.2854497026303866e+00 6.0411047638063797e+00 5.8273770662544981e+00 5.6397475406465061e+00 5.4745934378822394e+00 5.3292590255419094e+00 5.2014268545702764e+00 5.0894532974348605e+00 4.9917347056033501e+00 4.9069287710902847e+00 4.8339727231764087e+00 4.7717528088287917e+00 4.7191535892664289e+00 4.6753354493098911e+00 4.6392650713235088e+00 4.6101155694019642e+00 4.5869560930375410e+00 4.5689375133851327e+00 4.5549266257168224e+00 4.5438367862575921e+00 4.5348031177852350e+00 4.5270324299270746e+00 4.5197901588621736e+00 4.5146948925789889e+00 4.5095594078892924e+00 4.5043234024877350e+00 4.4988406727452679e+00 4.4931850883319484e+00 4.4871993485003898e+00 4.4810569622237590e+00 4.4742503946550007e+00 4.4669657674087055e+00 4.4590690056235349e+00 4.4504554113309185e+00 4.4409977614228575e+00 4.4305527361975807e+00 4.4189199969089517e+00 4.4060971661994923e+00 4.3916366424733733e+00 4.3754236937801112e+00 4.3572230648031409e+00 4.3367815888518262e+00 4.3138381886358932e+00 4.2881310004250528e+00 4.2593757849815548e+00 4.2275868280378166e+00 4.1922428349223653e+00 4.1534504106951582e+00 4.1112993322275031e+00 4.0661202478976559e+00 4.0184757086303398e+00 3.9694364368551707e+00 3.9206006481307925e+00 3.8745551977045376e+00 3.8346125244501752e+00 3.8058977229463604e+00 3.7955736811797101e+00 3.8140342743601963e+00 3.8764204287866431e+00 4.0056754940073871e+00 4.2381227561467183e+00 4.6349246122090726e+00 2.4435944804971710e-01 +3.1195869420386522e+01 4.9255382288159737e+01 4.9236995669234283e+01 4.9226888501506195e+01 4.9211900048125891e+01 4.9192968287564476e+01 4.9172792865022089e+01 4.9153103909011520e+01 4.9131480748142508e+01 4.9104594506386469e+01 4.9070602363588584e+01 4.9028493483185194e+01 4.8976973124366395e+01 4.8914401075506348e+01 4.8838891193116332e+01 4.8748333254160656e+01 4.8640276188855246e+01 4.8511785304091774e+01 4.8359413367854884e+01 4.8179177244530656e+01 4.7966500713151497e+01 4.7716161642638049e+01 4.7422163815296713e+01 4.7076700852219155e+01 4.6666300337496644e+01 4.6175028675636021e+01 4.5596581080345970e+01 4.4926941368998222e+01 4.4157929433975390e+01 4.3279808312435101e+01 4.2283072065654430e+01 4.1159246387273598e+01 3.9901629607312202e+01 3.8506137395259231e+01 3.6972229533919226e+01 3.5303852352120586e+01 3.3510284415210748e+01 3.1606761032009771e+01 2.9614714271810101e+01 2.7561489127461595e+01 2.5479418489831005e+01 2.3250974585228743e+01 2.1076352788189059e+01 1.8999459019415447e+01 1.7058637164360491e+01 1.5283598262734754e+01 1.3693422922269770e+01 1.2295940374052057e+01 1.1088495310808993e+01 1.0059844012781168e+01 9.1926650270500012e+00 8.4662775542090625e+00 7.8592027546413101e+00 7.3510943776000435e+00 6.9235588131673804e+00 6.5610204993936563e+00 6.2509503906730686e+00 5.9834285350893710e+00 5.7508663566285252e+00 5.5474374578444783e+00 5.3688428635111851e+00 5.2116364321684383e+00 5.0732920547370481e+00 4.9516052179231913e+00 4.8450124408059700e+00 4.7519880261298342e+00 4.6712548238264722e+00 4.6018015957799934e+00 4.5425684712263168e+00 4.4924938548015438e+00 4.4507786361918695e+00 4.4164392742059402e+00 4.3886886413796331e+00 4.3666406250764203e+00 4.3494868564317652e+00 4.3361485113463250e+00 4.3255910994392517e+00 4.3169912086751587e+00 4.3095936936635653e+00 4.3026992535841648e+00 4.2978487140255508e+00 4.2929598911786728e+00 4.2879753771438134e+00 4.2827559897147882e+00 4.2773720501246668e+00 4.2716738175660867e+00 4.2658264435674189e+00 4.2593468036639184e+00 4.2524120657134850e+00 4.2448945946168708e+00 4.2366947211568293e+00 4.2276913328918777e+00 4.2177479939115994e+00 4.2066739926374641e+00 4.1944670427135726e+00 4.1807010737584944e+00 4.1652668506616859e+00 4.1479404176981198e+00 4.1284807681000473e+00 4.1066393644534411e+00 4.0821669207090281e+00 4.0547928545308594e+00 4.0245307432573538e+00 3.9908843619041430e+00 3.9539551818709624e+00 3.9138286680457397e+00 3.8708195874478806e+00 3.8254634710838427e+00 3.7787796133463196e+00 3.7322894697303015e+00 3.6884556252053544e+00 3.6504314468007060e+00 3.6230958522284777e+00 3.6132676912368753e+00 3.6308416005996542e+00 3.6902312714592878e+00 3.8132780585985873e+00 4.0345606029230243e+00 4.4123035695389721e+00 2.3216820548858225e-01 +3.1252498334443818e+01 4.6980396514059230e+01 4.6962588484281099e+01 4.6952943597943268e+01 4.6938637531929629e+01 4.6920561216849229e+01 4.6901286596164169e+01 4.6882463972322341e+01 4.6861785788040237e+01 4.6836076354678788e+01 4.6803575326627630e+01 4.6763315618160561e+01 4.6714059550588416e+01 4.6654239429022660e+01 4.6582052430362694e+01 4.6495481542904749e+01 4.6392184052695271e+01 4.6269355089654141e+01 4.6123699981184444e+01 4.5951412035361884e+01 4.5748117993553358e+01 4.5508827685528544e+01 4.5227811699884043e+01 4.4897611546327532e+01 4.4505354786080318e+01 4.4035817832257585e+01 4.3482982702362797e+01 4.2843022511006353e+01 4.2108133836926562e+01 4.1269029413699947e+01 4.0316647958967160e+01 3.9242920073702642e+01 3.8041476868830905e+01 3.6708457194339850e+01 3.5243392531296500e+01 3.3650105785043927e+01 3.1937516347900537e+01 3.0120232379517098e+01 2.8218774426187036e+01 2.6259297689380670e+01 2.4272701753457373e+01 2.2146924963399684e+01 2.0072997628071349e+01 1.8092771253124212e+01 1.6242754130366801e+01 1.4551190606988634e+01 1.3036168635235432e+01 1.1705042198179369e+01 1.0555176112403050e+01 9.5757641517535017e+00 8.7502284524706546e+00 8.0588121487802109e+00 7.4810183813612667e+00 6.9974460264435834e+00 6.5905667305756763e+00 6.2455446440555127e+00 5.9504503226317000e+00 5.6958415313927366e+00 5.4744969670894106e+00 5.2808732608895408e+00 5.1108808737443132e+00 4.9612417094878527e+00 4.8295529894568121e+00 4.7137176610925575e+00 4.6122485021381783e+00 4.5236939968988468e+00 4.4468390065237147e+00 4.3807213395720090e+00 4.3243324142194171e+00 4.2766618930530242e+00 4.2369492268827385e+00 4.2042582658468470e+00 4.1778397396585003e+00 4.1568501350660929e+00 4.1405198974214708e+00 4.1278219879917906e+00 4.1177715804602162e+00 4.1095847510897467e+00 4.1025425847816450e+00 4.0959793601450123e+00 4.0913618563254666e+00 4.0867079117082596e+00 4.0819628746415733e+00 4.0769942489406228e+00 4.0718689769537839e+00 4.0664445164144301e+00 4.0608780618906319e+00 4.0547097314302238e+00 4.0481081676278503e+00 4.0409518674995999e+00 4.0331459503353537e+00 4.0245751224414024e+00 4.0151095028468964e+00 4.0045675469866691e+00 3.9929470563522393e+00 3.9798424614960477e+00 3.9651497622681835e+00 3.9486557627300116e+00 3.9301310351162759e+00 3.9093389828320708e+00 3.8860422966232924e+00 3.8599833984073708e+00 3.8311751921251789e+00 3.7991453231960266e+00 3.7639903753087438e+00 3.7257917073540963e+00 3.6848489636894111e+00 3.6416719462091303e+00 3.5972309781197862e+00 3.5529744216746635e+00 3.5112465293542812e+00 3.4750491941415333e+00 3.4490269180609565e+00 3.4396709480542706e+00 3.4564005328230767e+00 3.5129368702428247e+00 3.6300719654783453e+00 3.8407231602785665e+00 4.2003177326619170e+00 2.2058301087504861e-01 +3.1309127248501113e+01 4.4809710516268503e+01 4.4792461559392365e+01 4.4783258060309514e+01 4.4769603235315657e+01 4.4752344068951047e+01 4.4733930525433138e+01 4.4715936501961245e+01 4.4696162489639875e+01 4.4671578939010118e+01 4.4640504350663690e+01 4.4602013503638666e+01 4.4554923298129566e+01 4.4497735386373954e+01 4.4428726621527019e+01 4.4345969129395449e+01 4.4247223811629084e+01 4.4129809938728862e+01 4.3990578718377485e+01 4.3825892166629878e+01 4.3631571080555638e+01 4.3402847054857865e+01 4.3134245736091799e+01 4.2818641179088630e+01 4.2443734478316379e+01 4.1994980747628659e+01 4.1466635900064034e+01 4.0855053533024687e+01 4.0152789748356895e+01 3.9350986426240453e+01 3.8441006369731191e+01 3.7415165978730251e+01 3.6267412892139404e+01 3.4994097382228823e+01 3.3594817229643816e+01 3.2073274868754368e+01 3.0438043740747329e+01 2.8703129965571669e+01 2.6888180549342149e+01 2.5018211800560614e+01 2.3122752597465954e+01 2.1094955142269498e+01 1.9117100077930246e+01 1.7229079510618902e+01 1.5465653017847981e+01 1.3853669780175547e+01 1.2410275861163695e+01 1.1142377308350614e+01 1.0047363255163052e+01 9.1148491076556528e+00 8.3289694969628574e+00 7.6708508937945750e+00 7.1209340912197376e+00 6.6607196501597636e+00 6.2735041381262988e+00 5.9451565699209636e+00 5.6643186180676697e+00 5.4220029145882593e+00 5.2113377660425826e+00 5.0270491654427660e+00 4.8652468648513096e+00 4.7228126636731744e+00 4.5974611244139254e+00 4.4871974441523852e+00 4.3906069588991556e+00 4.3063087460556471e+00 4.2331466824052599e+00 4.1702052565233334e+00 4.1165247062999928e+00 4.0711434902317851e+00 4.0333377692576908e+00 4.0022165133689853e+00 3.9770664985502773e+00 3.9570847740727140e+00 3.9415387460570828e+00 3.9294506890077363e+00 3.9198830694107487e+00 3.9120895686371253e+00 3.9053857732243200e+00 3.8991379375250794e+00 3.8947423336745510e+00 3.8903120433017877e+00 3.8857950393883076e+00 3.8810651923168620e+00 3.8761862270276164e+00 3.8710224555821831e+00 3.8657234969810585e+00 3.8598515994937892e+00 3.8535672885299732e+00 3.8467549001827814e+00 3.8393241134446900e+00 3.8311651752904150e+00 3.8221544464591815e+00 3.8121191111054329e+00 3.8010570555122878e+00 3.7885822299026888e+00 3.7745956196032915e+00 3.7588942742878122e+00 3.7412597918716317e+00 3.7214669459633680e+00 3.6992898317744185e+00 3.6744832538107812e+00 3.6470594759004498e+00 3.6165688716327375e+00 3.5831033712110933e+00 3.5467404237268161e+00 3.5077652735450005e+00 3.4666632229488199e+00 3.4243579641375730e+00 3.3822282588015953e+00 3.3425056826718573e+00 3.3080478917297715e+00 3.2832761748819315e+00 3.2743698311518843e+00 3.2902954388249261e+00 3.3441147944332417e+00 3.4556206984337168e+00 3.6561485812317325e+00 3.9984620132162725e+00 2.0957385325256631e-01 +3.1365756162558409e+01 4.2738581782807863e+01 4.2721872645865922e+01 4.2713090150873711e+01 4.2700057875068353e+01 4.2683579019882046e+01 4.2665988409701448e+01 4.2648786922887233e+01 4.2629878009991529e+01 4.2606371592923892e+01 4.2576661536746386e+01 4.2539862686195079e+01 4.2494844139872740e+01 4.2440173865077433e+01 4.2374204904715612e+01 4.2295094624071048e+01 4.2200703005474111e+01 4.2088468023252908e+01 4.1955380374852673e+01 4.1797963383973467e+01 4.1612223383207265e+01 4.1393603978962318e+01 4.1136874638597988e+01 4.0835227287821645e+01 4.0476911262475568e+01 4.0048030433327050e+01 3.9543102275218274e+01 3.8958652458867981e+01 3.8287580218942423e+01 3.7521436960360255e+01 3.6651989941154696e+01 3.5671923141526982e+01 3.4575485256498069e+01 3.3359226823030610e+01 3.2022806862637864e+01 3.0569810279934817e+01 2.9008477335886496e+01 2.7352236250043038e+01 2.5619896927408270e+01 2.3835385547404115e+01 2.2026920195086944e+01 2.0092626210153476e+01 1.8206431351901092e+01 1.6406359005143660e+01 1.4725502851679112e+01 1.3189384988231962e+01 1.1814257803070708e+01 1.0606605212659897e+01 9.5638444165081555e+00 8.6759970991878372e+00 7.9278805487122277e+00 7.3014657235076319e+00 6.7780887126042000e+00 6.3401102920768642e+00 5.9716134760321511e+00 5.6591389228514144e+00 5.3918722793179139e+00 5.1612592790803369e+00 4.9607610190164824e+00 4.7853598428349651e+00 4.6313551369513188e+00 4.4957808394805854e+00 4.3764631540181336e+00 4.2715045674338832e+00 4.1795594521532777e+00 4.0993140628481353e+00 4.0296684402418510e+00 3.9697514998233201e+00 3.9186499481886563e+00 3.8754486952843745e+00 3.8394588495252564e+00 3.8098323375143326e+00 3.7858902567367974e+00 3.7668682789118231e+00 3.7520690054792833e+00 3.7405616693364183e+00 3.7314537710732454e+00 3.7240348032349577e+00 3.7176532073055424e+00 3.7117056858500446e+00 3.7075213752205016e+00 3.7033040483238775e+00 3.6990041774114411e+00 3.6945016951503438e+00 3.6898572628946353e+00 3.6849417191624911e+00 3.6798974706228682e+00 3.6743078363733024e+00 3.6683256133130597e+00 3.6618406975125426e+00 3.6547671096870351e+00 3.6470003726495084e+00 3.6384227904841113e+00 3.6288698586041317e+00 3.6183395451277409e+00 3.6064643853700780e+00 3.5931501124747522e+00 3.5782035319851691e+00 3.5614167404523958e+00 3.5425753381833656e+00 3.5214642797155902e+00 3.4978501600291829e+00 3.4717446344812126e+00 3.4427197169432091e+00 3.4108629071894243e+00 3.3762479314121632e+00 3.3391463222967359e+00 3.3000200536209179e+00 3.2597484155706202e+00 3.2196438960390208e+00 3.1818307809988400e+00 3.1490293827433922e+00 3.1254484474025404e+00 3.1169702372464001e+00 3.1321302985234722e+00 3.1833625462358932e+00 3.2895083388068893e+00 3.4803968116210044e+00 3.8062551560523961e+00 1.9911220153346010e-01 +3.1422385076615704e+01 4.0762481214952771e+01 4.0746293922774292e+01 4.0737913297325235e+01 4.0725475079738018e+01 4.0709741654825883e+01 4.0692937441796204e+01 4.0676494009784918e+01 4.0658412782176732e+01 4.0635936834780033e+01 4.0607532054112134e+01 4.0572351634790955e+01 4.0529314592291051e+01 4.0477052308305979e+01 4.0413990679654582e+01 4.0338368582046733e+01 4.0248140739534747e+01 4.0140858628702752e+01 4.0013646322967347e+01 3.9863181374255305e+01 3.9685647500066352e+01 3.9476690989274402e+01 3.9231314382400555e+01 3.8943013441656909e+01 3.8600561554994265e+01 3.8190682712194999e+01 3.7708144164794319e+01 3.7149635634287961e+01 3.6508383836321272e+01 3.5776330965650864e+01 3.4945630002523956e+01 3.4009315137971036e+01 3.2961921395107801e+01 3.1800188989388349e+01 3.0523833444434523e+01 2.9136325060119830e+01 2.7645583250631166e+01 2.6064481540105341e+01 2.4411027688242157e+01 2.2708104462377960e+01 2.0982676492903366e+01 1.9137612555942905e+01 1.7338866515766554e+01 1.5622679571609728e+01 1.4020558454512896e+01 1.2556762980570170e+01 1.1246697648842073e+01 1.0096448622050907e+01 9.1034645034798949e+00 8.2581583982171924e+00 7.5460016210438612e+00 6.9497724441493567e+00 6.4516617815201460e+00 6.0348510392976218e+00 5.6841729799996612e+00 5.3868082363231879e+00 5.1324605662615932e+00 4.9129880734392071e+00 4.7221686291069203e+00 4.5552285408735944e+00 4.4086476377432149e+00 4.2796046137477965e+00 4.1660318887625527e+00 4.0661245188311117e+00 3.9786025609191347e+00 3.9022161955099826e+00 3.8359189126157753e+00 3.7788819096744861e+00 3.7302361235594175e+00 3.6891106832139031e+00 3.6548499660361440e+00 3.6266467951131074e+00 3.6038549466941801e+00 3.5857468671416530e+00 3.5716586715610443e+00 3.5607043081952456e+00 3.5520341602587306e+00 3.5449718225998961e+00 3.5388970231017676e+00 3.5332354575185785e+00 3.5292523374045133e+00 3.5252377912632777e+00 3.5211446712047239e+00 3.5168586823526415e+00 3.5124375689755718e+00 3.5077583837881217e+00 3.5029566670283203e+00 3.4976357996688336e+00 3.4919412202613982e+00 3.4857681189927021e+00 3.4790346507206342e+00 3.4716413618269888e+00 3.4634762155646421e+00 3.4543826209980129e+00 3.4443586251921392e+00 3.4330544584783462e+00 3.4203803754175031e+00 3.4061524709447570e+00 3.3901728382640051e+00 3.3722373867044433e+00 3.3521414108816798e+00 3.3296627323014700e+00 3.3048124279182209e+00 3.2771831157797791e+00 3.2468580776673153e+00 3.2139074948672586e+00 3.1785898440098603e+00 3.1413448858114847e+00 3.1030096315030837e+00 3.0648334638707531e+00 3.0288385100793942e+00 2.9976143045046650e+00 2.9751672137285921e+00 2.9670966658402271e+00 2.9815277850984305e+00 3.0302966268876657e+00 3.1313386004777430e+00 3.3130485690774969e+00 3.6232386226303381e+00 1.8917093185930389e-01 +3.1479013990673000e+01 3.8877084254741064e+01 3.8861400742186873e+01 3.8853404012458626e+01 3.8841532752801839e+01 3.8826511529192544e+01 3.8810458761191910e+01 3.8794740366123072e+01 3.8777451002423135e+01 3.8755960858083803e+01 3.8728804635693699e+01 3.8695172242326421e+01 3.8654030424504448e+01 3.8604071202764992e+01 3.8543790137014120e+01 3.8471504045289869e+01 3.8385258242564326e+01 3.8282712731283823e+01 3.8161119111620039e+01 3.8017302391545044e+01 3.7847615876816548e+01 3.7647899615235090e+01 3.7413378941185414e+01 3.7137840031621991e+01 3.6810557192309616e+01 3.6418847143713833e+01 3.5957715653729849e+01 3.5424008841356354e+01 3.4811265957167642e+01 3.4111802097971101e+01 3.3318138090782966e+01 3.2423641778182386e+01 3.1423120491929470e+01 3.0313494082566635e+01 2.9094530138840419e+01 2.7769587260193060e+01 2.6346275922892055e+01 2.4836937260904321e+01 2.3258810419867075e+01 2.1633779508893298e+01 1.9987610576296799e+01 1.8227696652589572e+01 1.6512379690118429e+01 1.4876201282413305e+01 1.3349156459789457e+01 1.1954304437031039e+01 1.0706245303123142e+01 9.6106904933434603e+00 8.6651229715506606e+00 7.8603328888127262e+00 7.1824181178022872e+00 6.6149286749771870e+00 6.1408716311752514e+00 5.7442112374866534e+00 5.4104950018568996e+00 5.1275133419675081e+00 4.8854634836335116e+00 4.6765961538090890e+00 4.4949907476109594e+00 4.3361057443765070e+00 4.1965926667018429e+00 4.0737679378666876e+00 3.9656650312845656e+00 3.8705670793190583e+00 3.7872566334497209e+00 3.7145447050011899e+00 3.6514356491000077e+00 3.5971409031711579e+00 3.5508335031643314e+00 3.5116846712479410e+00 3.4790704554635492e+00 3.4522226135007434e+00 3.4305260357913405e+00 3.4132881834222362e+00 3.3998770833978527e+00 3.3894492627481352e+00 3.3811959380286218e+00 3.3744731785617126e+00 3.3686905045065867e+00 3.3633012189374223e+00 3.3595096668810025e+00 3.3556882028371526e+00 3.3517919450237716e+00 3.3477120949843178e+00 3.3435036194274339e+00 3.3390494878617818e+00 3.3344787034921435e+00 3.3294137482560355e+00 3.3239930548929051e+00 3.3181168544984043e+00 3.3117072383330024e+00 3.3046695360809317e+00 3.2968970994956961e+00 3.2882408725956931e+00 3.2786989786017400e+00 3.2679384951576682e+00 3.2558739825833318e+00 3.2423303808962838e+00 3.2271193018318618e+00 3.2100464706691354e+00 3.1909170275547973e+00 3.1695194833741001e+00 3.1458643652818394e+00 3.1195639087134577e+00 3.0906973797559605e+00 3.0593315843389930e+00 3.0257125674841636e+00 2.9902589392613090e+00 2.9537674541049834e+00 2.9174274077397757e+00 2.8831636554984388e+00 2.8534412075789617e+00 2.8320737310846784e+00 2.8243913473268427e+00 2.8381283888561351e+00 2.8845516461895242e+00 2.9807339096964487e+00 3.1537043694760234e+00 3.4489755263005386e+00 1.7972425850896281e-01 +3.1535642904730295e+01 3.7078261194434525e+01 3.7063063932206312e+01 3.7055433887699891e+01 3.7044104126704333e+01 3.7029762844287177e+01 3.7014428332083881e+01 3.6999403326028293e+01 3.6982871536559806e+01 3.6962324441488192e+01 3.6936362492877400e+01 3.6904210746128918e+01 3.6864881585642898e+01 3.6817125014908953e+01 3.6759503204915816e+01 3.6690407502201914e+01 3.6607969841646522e+01 3.6509953990704581e+01 3.6393733480494390e+01 3.6256274297111858e+01 3.6094091876500386e+01 3.5903211490165873e+01 3.5679071435237923e+01 3.5415735467731693e+01 3.5102956686762468e+01 3.4728618350760648e+01 3.4287953985507301e+01 3.3777958806602996e+01 3.3192470327747863e+01 3.2524159469549744e+01 3.1765897848919646e+01 3.0911371173429547e+01 2.9955645739353255e+01 2.8895811504426835e+01 2.7731683969975244e+01 2.6466512914406458e+01 2.5107611373446403e+01 2.3666809529496696e+01 2.2160610077168879e+01 2.0609941338651090e+01 1.9039423290710062e+01 1.7360764078421486e+01 1.5725039473020001e+01 1.4165170264616815e+01 1.2709711508385784e+01 1.1380580521838960e+01 1.0191614270256141e+01 9.1481712094684937e+00 8.2477712679607649e+00 7.4815677397471845e+00 6.8362587027824002e+00 6.2961318851504542e+00 5.8449735704200618e+00 5.4674947887681800e+00 5.1499244083798370e+00 4.8806338540471303e+00 4.6502903386899916e+00 4.4515184045519174e+00 4.2786844492569962e+00 4.1274678979731014e+00 3.9946836394882288e+00 3.8777791386989193e+00 3.7748840093329892e+00 3.6843651840545135e+00 3.6050646728746205e+00 3.5358513720269018e+00 3.4757780418457256e+00 3.4240944158266586e+00 3.3800135999163317e+00 3.3427468853766356e+00 3.3117004688873752e+00 3.2861431744439074e+00 3.2654895165662450e+00 3.2490802948666846e+00 3.2363139225774273e+00 3.2263874704601019e+00 3.2185310364534154e+00 3.2121316137877094e+00 3.2066270916950348e+00 3.2014970605512585e+00 3.1978879116604526e+00 3.1942502922404747e+00 3.1905414782983774e+00 3.1866579048604970e+00 3.1826518939815864e+00 3.1784120487016212e+00 3.1740611488913655e+00 3.1692398622993161e+00 3.1640799515784259e+00 3.1584864475774275e+00 3.1523851896317572e+00 3.1456860618844957e+00 3.1382875467879372e+00 3.1300477626406686e+00 3.1209649060911446e+00 3.1107220947958272e+00 3.0992379893840920e+00 3.0863459517929024e+00 3.0718666568890374e+00 3.0556151762821187e+00 3.0374060246177206e+00 3.0170378905637651e+00 2.9945207786746124e+00 2.9694856019809563e+00 2.9420078035205393e+00 2.9121509753503569e+00 2.8801493256440396e+00 2.8464013257181753e+00 2.8116653991904599e+00 2.7770736292812819e+00 2.7444582540421316e+00 2.7161657158981707e+00 2.6958262021962653e+00 2.6885134116340144e+00 2.7015895818351483e+00 2.7457794734435992e+00 2.8373345277147735e+00 3.0019835986431032e+00 3.2830496171113110e+00 1.7074766818199144e-01 +3.1592271818787591e+01 3.5362067905745342e+01 3.5347341308264625e+01 3.5340060950875113e+01 3.5329248045517019e+01 3.5315556183413115e+01 3.5300908175382332e+01 3.5286546262749823e+01 3.5270739227693682e+01 3.5251094259987497e+01 3.5226274630885371e+01 3.5195539048908152e+01 3.5157943532875315e+01 3.5112293527402244e+01 3.5057214895561913e+01 3.4991170246117619e+01 3.4912374335190513e+01 3.4818690140704653e+01 3.4707607771413919e+01 3.4576227995085084e+01 3.4421221244015186e+01 3.4238789849825416e+01 3.4024575670116420e+01 3.3772907765312652e+01 3.3473996869467605e+01 3.3116267730446260e+01 3.2695171353228957e+01 3.2207845085373883e+01 3.1648411076416053e+01 3.1009879765559589e+01 3.0285457284357491e+01 2.9469132156241773e+01 2.8556216940952307e+01 2.7543962665339897e+01 2.6432228858830175e+01 2.5224159329457205e+01 2.3926780770892488e+01 2.2551433018199660e+01 2.1113913163774281e+01 1.9634234809148662e+01 1.8135922107679384e+01 1.6534798765433262e+01 1.4975004571996537e+01 1.3487914708932193e+01 1.2100712620333049e+01 1.0834229596614193e+01 9.7015786817965033e+00 8.7077858904923229e+00 7.8504103938601943e+00 7.1209551853091524e+00 6.5066932683292853e+00 5.9926175220454523e+00 5.5632581470661373e+00 5.2040385289150910e+00 4.9018370546544370e+00 4.6455787244672173e+00 4.4263783660268237e+00 4.2372164231283431e+00 4.0727324691091624e+00 3.9288161883598476e+00 3.8024379098464425e+00 3.6911697752994970e+00 3.5932328630220405e+00 3.5070738363923395e+00 3.4315912746683779e+00 3.3657091549318272e+00 3.3085263011269261e+00 3.2593288923004065e+00 3.2173681725886056e+00 3.1818935749743735e+00 3.1523399955296720e+00 3.1280115453951702e+00 3.1083509440206920e+00 3.0927307331288620e+00 3.0805782590278961e+00 3.0711291978264952e+00 3.0636506696861341e+00 3.0575591147292509e+00 3.0523194356708045e+00 3.0474362529051429e+00 3.0440007782252438e+00 3.0405382053699630e+00 3.0370078649316423e+00 3.0333111750081168e+00 3.0294979395802306e+00 3.0254621254435681e+00 3.0213205878473364e+00 3.0167313088066545e+00 3.0118197006334291e+00 3.0064953642236598e+00 3.0006877076223151e+00 2.9943109514685839e+00 2.9872684633802722e+00 2.9794251924247170e+00 2.9707794060434294e+00 2.9610294930670502e+00 2.9500980187279833e+00 2.9378263638409332e+00 2.9240438326753271e+00 2.9085743958936741e+00 2.8912414940056554e+00 2.8718535062231818e+00 2.8504199403455317e+00 2.8265894919757248e+00 2.8004339645641698e+00 2.7720138900961273e+00 2.7415522063554123e+00 2.7094282096783613e+00 2.6763638272333408e+00 2.6434366675597056e+00 2.6123907845213976e+00 2.5854597259147556e+00 2.5660989804628347e+00 2.5591380955502800e+00 2.5715850212679801e+00 2.6136484278890277e+00 2.7007977142291648e+00 2.8575236272635993e+00 3.1250643138292622e+00 1.6221785749339399e-01 +3.1648900732844886e+01 3.3724739515025064e+01 3.3710467583522245e+01 3.3703520768776464e+01 3.3693201718720083e+01 3.3680130021333923e+01 3.3666138063262594e+01 3.3652410281231887e+01 3.3637296587579499e+01 3.3618514579610967e+01 3.3594787547777116e+01 3.3565406423228779e+01 3.3529468942066423e+01 3.3485833557833949e+01 3.3433187033601392e+01 3.3370060115636498e+01 3.3294746747253086e+01 3.3205204759909577e+01 3.3099035718874383e+01 3.2973469246590206e+01 3.2825323948016191e+01 3.2650971407103519e+01 3.2446248050129761e+01 3.2205736503745236e+01 3.1920084903150556e+01 3.1578235532101200e+01 3.1175847054322048e+01 3.0710192306212431e+01 3.0175665061239254e+01 2.9565599710729458e+01 2.8873521371868428e+01 2.8093707038025133e+01 2.7221703444187430e+01 2.6254914113644659e+01 2.5193238971616665e+01 2.4039718674672393e+01 2.2801104286143225e+01 2.1488265094563207e+01 2.0116322177054212e+01 1.8704413749750195e+01 1.7275016224035198e+01 1.5747878464501051e+01 1.4260519636108137e+01 1.2842841062238385e+01 1.1520719733754493e+01 1.0313954085304433e+01 9.2349704615843056e+00 8.2884818294765381e+00 7.4720885798596264e+00 6.7776304094192064e+00 6.1929309985772685e+00 5.7036572268029619e+00 5.2950494921412119e+00 4.9532106801062570e+00 4.6656383285601235e+00 4.4217848651525475e+00 4.2131914164190514e+00 4.0331772661784600e+00 3.8766419982390286e+00 3.7396753831953875e+00 3.6193956463569132e+00 3.5134935488210592e+00 3.4202771838496360e+00 3.3382690724896800e+00 3.2664216135718473e+00 3.2037111960695026e+00 3.1492804785833455e+00 3.1024503241442369e+00 3.0625082758634310e+00 3.0287400732985890e+00 3.0006079319229948e+00 2.9774495557822944e+00 2.9587345176924766e+00 2.9438655810780952e+00 2.9322976412483932e+00 2.9233031334164044e+00 2.9161844291594963e+00 2.9103860086421722e+00 2.9053984968366722e+00 2.9007503466709585e+00 2.8974802325856621e+00 2.8941843268589804e+00 2.8908239163950120e+00 2.8873051638498013e+00 2.8836754756817955e+00 2.8798339255197760e+00 2.8758917284518586e+00 2.8715233507375744e+00 2.8668481588523997e+00 2.8617801049678420e+00 2.8562519950034524e+00 2.8501821785100026e+00 2.8434786744173333e+00 2.8360129354045118e+00 2.8277832971510457e+00 2.8185026874624000e+00 2.8080973897616763e+00 2.7964164198777715e+00 2.7832972983926321e+00 2.7685724690237921e+00 2.7520738708551642e+00 2.7336191095944811e+00 2.7132172208697427e+00 2.6905338304722139e+00 2.6656372769770247e+00 2.6385851787732775e+00 2.6095897427745931e+00 2.5790120082349062e+00 2.5475391529608085e+00 2.5161969183694888e+00 2.4866453962621824e+00 2.4610106430493404e+00 2.4425818121147218e+00 2.4359559869292222e+00 2.4478037901251795e+00 2.4878425068197982e+00 2.5707969297560407e+00 2.7199789669654493e+00 2.9746417810304897e+00 1.5411267352367525e-01 +3.1705529646902182e+01 3.2162680707975092e+01 3.2148848064469590e+01 3.2142219840503728e+01 3.2132371884365519e+01 3.2119892766972455e+01 3.2106527623932607e+01 3.2093406275305554e+01 3.2078955854944162e+01 3.2060999319021953e+01 3.2038317299961413e+01 3.2010231582029192e+01 3.1975879784849326e+01 3.1934171043362866e+01 3.1883850350292139e+01 3.1823513599765338e+01 3.1751530446140656e+01 3.1665949406459127e+01 3.1564478603670981e+01 3.1444470845759213e+01 3.1302886383703310e+01 3.1136258586167077e+01 3.0940609849147364e+01 3.0710765140932143e+01 3.0437790648623839e+01 3.0111123285867720e+01 2.9726619993273683e+01 2.9281682759430279e+01 2.8770964557775677e+01 2.8188108871092155e+01 2.7526944985626454e+01 2.6782024689596188e+01 2.5949117388754317e+01 2.5025770972098677e+01 2.4011922366120707e+01 2.2910511859797928e+01 2.1728025223211244e+01 2.0474880225688040e+01 1.9165550304217906e+01 1.7818335965182069e+01 1.6454711884302199e+01 1.4998170417532167e+01 1.3579911278956581e+01 1.2228430395040807e+01 1.0968360403467630e+01 9.8185174841354819e+00 8.7906766222651704e+00 7.8892560475088098e+00 7.1118990696751876e+00 6.4507695282587578e+00 5.8942185229297337e+00 5.4285571330024167e+00 5.0397037413231329e+00 4.7144093758518819e+00 4.4407617630964591e+00 4.2087158345475126e+00 4.0102187067646637e+00 3.8389122540092262e+00 3.6899435355043666e+00 3.5595927240746690e+00 3.4451187614417376e+00 3.3443252631887175e+00 3.2556031031509636e+00 3.1775469740953004e+00 3.1091604776746657e+00 3.0494698744190867e+00 2.9976595359262559e+00 2.9530833322908152e+00 2.9150633546275104e+00 2.8829199017079592e+00 2.8561411944084338e+00 2.8340969163296608e+00 2.8162822064825224e+00 2.8021286019932576e+00 2.7911172289168298e+00 2.7825555231089338e+00 2.7757794209693007e+00 2.7702601026539022e+00 2.7655126855329901e+00 2.7610883145419600e+00 2.7579756431366969e+00 2.7548384239449439e+00 2.7516398065707417e+00 2.7482904710809564e+00 2.7448355412270762e+00 2.7411789527749937e+00 2.7374265515289249e+00 2.7332684975490391e+00 2.7288184014481871e+00 2.7239943583177513e+00 2.7187324092540655e+00 2.7129548350118804e+00 2.7065740831055107e+00 2.6994677982532695e+00 2.6916343818944042e+00 2.6828006035299645e+00 2.6728962871974327e+00 2.6617777181519564e+00 2.6492902398600040e+00 2.6352743633642053e+00 2.6195701193830399e+00 2.6020038981727351e+00 2.5825842865394497e+00 2.5609930287297340e+00 2.5372951648020083e+00 2.5115455390630355e+00 2.4839461413832296e+00 2.4548406281538320e+00 2.4248830917502908e+00 2.3950498899150805e+00 2.3669211735110363e+00 2.3425206536786511e+00 2.3249791136536748e+00 2.3186723041127206e+00 2.3299496730144931e+00 2.3680606496426284e+00 2.4470210751571728e+00 2.5890204657105915e+00 2.8314220491464051e+00 1.4641105727564604e-01 +3.1762158560959477e+01 3.0672458505469763e+01 3.0659050637954614e+01 3.0652726368833594e+01 3.0643328149480041e+01 3.0631414860021493e+01 3.0618648762367652e+01 3.0606107332800740e+01 3.0592291405069510e+01 3.0575124461915479e+01 3.0553441918600765e+01 3.0526595100008095e+01 3.0493759755889897e+01 3.0453893475541193e+01 3.0405796926908774e+01 3.0348128292233429e+01 3.0279329611496035e+01 3.0197536100401070e+01 3.0100557753601240e+01 2.9985865142131992e+01 2.9850553920445019e+01 2.9691312100288378e+01 2.9504339823992744e+01 2.9284693668395459e+01 2.9023839369626629e+01 2.8711686567649476e+01 2.8344281517075075e+01 2.7919149314546985e+01 2.7431190271627038e+01 2.6874342775737588e+01 2.6242726145886568e+01 2.5531153930140697e+01 2.4735607256226693e+01 2.3853770668116677e+01 2.2885614922735861e+01 2.1833982687839022e+01 2.0705104414322218e+01 1.9508964635152999e+01 1.8259416358567126e+01 1.6973958465801910e+01 1.5673107915845819e+01 1.4283927227325615e+01 1.2931584283860307e+01 1.1643234935929563e+01 1.0442326651774215e+01 9.3467415098402231e+00 8.3676366872071029e+00 7.5091529622499609e+00 6.7689780069198386e+00 6.1395876669542986e+00 5.6098381556282275e+00 5.1666562447460720e+00 4.7966075299668187e+00 4.4870612546921285e+00 4.2266677133999986e+00 4.0058605853746654e+00 3.8169736282468105e+00 3.6539558307884721e+00 3.5121897928000894e+00 3.3881368710931410e+00 3.2791898903055126e+00 3.1832598341765470e+00 3.0988163276233029e+00 3.0245227273031601e+00 2.9594313474793639e+00 2.9026159023640381e+00 2.8533004570137659e+00 2.8108702923261024e+00 2.7746803804369353e+00 2.7440839156131762e+00 2.7185938729787562e+00 2.6976103793946531e+00 2.6806529142436721e+00 2.6671804093208560e+00 2.6566989658981774e+00 2.6485493456352689e+00 2.6420994433904923e+00 2.6368458629228746e+00 2.6323270426129564e+00 2.6281157331316893e+00 2.6251529634720518e+00 2.6221668301910732e+00 2.6191222564420138e+00 2.6159342233576797e+00 2.6126456813337748e+00 2.6091651952385213e+00 2.6055934995314090e+00 2.6016356953173085e+00 2.5973999134909662e+00 2.5928081936359177e+00 2.5877996570639636e+00 2.5823003274352772e+00 2.5762268687433387e+00 2.5694628210044823e+00 2.5620066490178215e+00 2.5535982999492179e+00 2.5441709693255237e+00 2.5335878636255589e+00 2.5217017745110368e+00 2.5083608939441886e+00 2.4934129567138705e+00 2.4766927167052004e+00 2.4582083341351186e+00 2.4376568986523184e+00 2.4151003102225683e+00 2.3905907719373101e+00 2.3643205459927183e+00 2.3366167385069319e+00 2.3081019411279713e+00 2.2797054931478828e+00 2.2529314341114017e+00 2.2297060310451213e+00 2.2130092829591166e+00 2.2070062088822495e+00 2.2177404658041904e+00 2.2540160362097050e+00 2.3291737665726036e+00 2.4643345406561012e+00 2.6950621755077999e+00 1.3909298989662910e-01 +3.1818787475016773e+01 2.9250795013342096e+01 2.9237797704498348e+01 2.9231763847070937e+01 2.9222794840848628e+01 2.9211422012826944e+01 2.9199228390103141e+01 2.9187241477598892e+01 2.9174032494812977e+01 2.9157620805060493e+01 2.9136894161188511e+01 2.9111232169839599e+01 2.9079847035063622e+01 2.9041742669404851e+01 2.8995772972875532e+01 2.8940655679760560e+01 2.8874902034898906e+01 2.8796730138985101e+01 2.8704047376004201e+01 2.8594436893762474e+01 2.8465123779627074e+01 2.8312943858410922e+01 2.8134267155116824e+01 2.7924371591891926e+01 2.7675104761163670e+01 2.7376828084542069e+01 2.7025768568405173e+01 2.6619568652633344e+01 2.6153364661795315e+01 2.5621376345005640e+01 2.5017999566998089e+01 2.4338297211137391e+01 2.3578451708012636e+01 2.2736276944551733e+01 2.1811774547716187e+01 2.0807692270590518e+01 1.9730014867486268e+01 1.8588311201042600e+01 1.7395839944978398e+01 1.6169332914457836e+01 1.4928391467636995e+01 1.3603482916246289e+01 1.2314017983191970e+01 1.1085874765514644e+01 9.9413719646373053e+00 8.8975033798661585e+00 7.9648402320175578e+00 7.1472621649245376e+00 6.4425024203000198e+00 5.8433371257993123e+00 5.3391062174400954e+00 4.9173248903692830e+00 4.5651765584098341e+00 4.2706201194842937e+00 4.0228420954691035e+00 3.8127322707877447e+00 3.6329926101158958e+00 3.4778644778790975e+00 3.3429546513609925e+00 3.2248968965710301e+00 3.1212114174260441e+00 3.0299113446613357e+00 2.9495412198262181e+00 2.8788297251993398e+00 2.8168755178865155e+00 2.7627974645118902e+00 2.7158574013093788e+00 2.6754705004890313e+00 2.6410230282323668e+00 2.6118994902244377e+00 2.5876364245586574e+00 2.5676629384406531e+00 2.5515216842446478e+00 2.5386976751247792e+00 2.5287207917812298e+00 2.5209635265244579e+00 2.5148242027443342e+00 2.5098236320709564e+00 2.5055224581983908e+00 2.5015140029717462e+00 2.4986939532662285e+00 2.4958516672655624e+00 2.4929537567625792e+00 2.4899192979152103e+00 2.4867891718968704e+00 2.4834763507597164e+00 2.4800767032276752e+00 2.4763095546050287e+00 2.4722778190415480e+00 2.4679072916212714e+00 2.4631400262995404e+00 2.4579056103204140e+00 2.4521247221331395e+00 2.4456865144644055e+00 2.4385895131483464e+00 2.4305862106693197e+00 2.4216130129288986e+00 2.4115397160394574e+00 2.4002262029964681e+00 2.3875279786872219e+00 2.3733001128520979e+00 2.3573853221624410e+00 2.3397913613607120e+00 2.3202299293343174e+00 2.2987599367954439e+00 2.2754310721711106e+00 2.2504263360375352e+00 2.2240570771822679e+00 2.1969158957547559e+00 2.1698873651700121e+00 2.1444030608566451e+00 2.1222964735003478e+00 2.1064040424912536e+00 2.1006901514582355e+00 2.1109073174316593e+00 2.1454354178546100e+00 2.2169726441468187e+00 2.3456224467773139e+00 2.5652354444783878e+00 1.3213944153154084e-01 +3.1875416389074068e+01 2.7894561172006522e+01 2.7881960682040990e+01 2.7876203537173399e+01 2.7867644905684809e+01 2.7856788027016943e+01 2.7845141421139534e+01 2.7833684733861194e+01 2.7821056328378926e+01 2.7805367027082930e+01 2.7785554583908873e+01 2.7761025679396464e+01 2.7731027370133162e+01 2.7694607852978045e+01 2.7650671922991830e+01 2.7597994249318038e+01 2.7535152238987454e+01 2.7460443229929325e+01 2.7371867707907782e+01 2.7267116437283740e+01 2.7143538227966079e+01 2.6998110186181744e+01 2.6827364699958434e+01 2.6626791223405952e+01 2.6388602287116832e+01 2.6103591067512323e+01 2.5768157143329940e+01 2.5380054799447439e+01 2.4934645560979092e+01 2.4426417610893640e+01 2.3850030492626694e+01 2.3200784582380265e+01 2.2475053698877367e+01 2.1670774138620359e+01 2.0787975636452519e+01 1.9829313695384851e+01 1.8800536655213971e+01 1.7710814584659513e+01 1.6572836844416251e+01 1.5402601280206772e+01 1.4218833942990587e+01 1.2955249165031693e+01 1.1725762803766647e+01 1.0555034662587614e+01 9.4643084265625088e+00 8.4697332185444321e+00 7.5813245401509262e+00 6.8027163007151561e+00 6.1316883026853350e+00 5.5613056321126733e+00 5.0813714356453543e+00 4.6799632483231957e+00 4.3448542241902395e+00 4.0645656592822190e+00 3.8287951837566210e+00 3.6288671062228142e+00 3.4578340364144995e+00 3.3102156778524039e+00 3.1818321667047242e+00 3.0694813257071867e+00 2.9708045484351824e+00 2.8839121439104280e+00 2.8074199215148306e+00 2.7401187122939112e+00 2.6811512611047124e+00 2.6296793966976368e+00 2.5850008968033285e+00 2.5465593785708589e+00 2.5137708914175882e+00 2.4860497442584308e+00 2.4629549038658221e+00 2.4439430648068585e+00 2.4285789407251404e+00 2.4163723754330886e+00 2.4068758901879788e+00 2.3994921887118248e+00 2.3936485658160223e+00 2.3888888830734958e+00 2.3847949268547950e+00 2.3809796048813832e+00 2.3782954354835097e+00 2.3755901029936637e+00 2.3728318269728299e+00 2.3699435823738284e+00 2.3669642803351976e+00 2.3638110887397379e+00 2.3605752444502661e+00 2.3569896143300877e+00 2.3531521462026634e+00 2.3489922106709158e+00 2.3444546537909918e+00 2.3394724556054634e+00 2.3339701166304181e+00 2.3278421331820991e+00 2.3210870898756699e+00 2.3134694223430414e+00 2.3049285934164132e+00 2.2953406730255836e+00 2.2845722956562127e+00 2.2724859286496057e+00 2.2589436251722783e+00 2.2437956829396510e+00 2.2270494712900351e+00 2.2084305973021761e+00 2.1879951260890005e+00 2.1657903519114217e+00 2.1419904575900000e+00 2.1168917897385637e+00 2.0910583943414722e+00 2.0653322241978538e+00 2.0410758640254212e+00 2.0200344736095701e+00 2.0049078131115103e+00 1.9994692460146557e+00 2.0091941023804312e+00 2.0420584796160357e+00 2.1101487129916334e+00 2.2325995795695084e+00 2.4416306048821586e+00 1.2553232267883249e-01 +3.1932045303131364e+01 2.6600769127423476e+01 2.6588552080365453e+01 2.6583059488090704e+01 2.6574892127896316e+01 2.6564528046674191e+01 2.6553404161419969e+01 2.6542454495575900e+01 2.6530381429914154e+01 2.6515383064154317e+01 2.6496444920831966e+01 2.6472999595083223e+01 2.6444327465486509e+01 2.6409519062605149e+01 2.6367527840991720e+01 2.6317182900972966e+01 2.6257124901575313e+01 2.6185726928879514e+01 2.6101078469523500e+01 2.6000973160344152e+01 2.5882878072585264e+01 2.5743905347552442e+01 2.5580742545876831e+01 2.5389081270553906e+01 2.5161482813640095e+01 2.4889152957436053e+01 2.4568656039532215e+01 2.4197852945974446e+01 2.3772320079966086e+01 2.3286801717776591e+01 2.2736208806278793e+01 2.2116067927430411e+01 2.1422934853661911e+01 2.0654861717347224e+01 1.9811903785435007e+01 1.8896626931645077e+01 1.7914552033821106e+01 1.6874466579329262e+01 1.5788514607601712e+01 1.4671991689675446e+01 1.3542787117842618e+01 1.2337711723774730e+01 1.1165436970749688e+01 1.0049461095445642e+01 9.0100039878292826e+00 8.0624115834512775e+00 7.2161723674474496e+00 6.4746890477450494e+00 5.8357887796391807e+00 5.2928146735425869e+00 4.8360134187172550e+00 4.4539999419416141e+00 4.1351103181585076e+00 3.8684022309276056e+00 3.6440604648950838e+00 3.4538232843661620e+00 3.2910772132942911e+00 3.1506069268114771e+00 3.0284356200065337e+00 2.9215172219729957e+00 2.8276084252986546e+00 2.7449119888880391e+00 2.6721115178832897e+00 2.6080569688965984e+00 2.5519330285888131e+00 2.5029424032447025e+00 2.4604170705631496e+00 2.4238277158650194e+00 2.3926187335656364e+00 2.3662327998413137e+00 2.3442502301812662e+00 2.3261539801034883e+00 2.3115297658337330e+00 2.2999110707811194e+00 2.2908719721226958e+00 2.2838439380760351e+00 2.2782818471351449e+00 2.2737515079578596e+00 2.2698548375182206e+00 2.2662233910280931e+00 2.2636685882399523e+00 2.2610936440204243e+00 2.2584683086779460e+00 2.2557192690961627e+00 2.2528835608165672e+00 2.2498823462956059e+00 2.2468024532223838e+00 2.2433896399572455e+00 2.2397371264584138e+00 2.2357776874571074e+00 2.2314588272523661e+00 2.2267167560455716e+00 2.2214796131967702e+00 2.2156469823208056e+00 2.2092175046340179e+00 2.2019669854983710e+00 2.1938377985089503e+00 2.1847119866620530e+00 2.1744626122803958e+00 2.1629587713881206e+00 2.1500691658077771e+00 2.1356513107534494e+00 2.1197122092446889e+00 2.1019907089629872e+00 2.0825401661941001e+00 2.0614055958054021e+00 2.0387527855668020e+00 2.0148637990905942e+00 1.9902754970232777e+00 1.9657892545887157e+00 1.9427019736347522e+00 1.9226747166735689e+00 1.9082771171185458e+00 1.9031006753336275e+00 1.9123568224442986e+00 1.9436372321995985e+00 2.0084457148752750e+00 2.1249948102866809e+00 2.3239511429998378e+00 1.1925443792746318e-01 +3.1988674217188660e+01 2.5366565848051124e+01 2.5354720023259684e+01 2.5349479787551648e+01 2.5341685933460084e+01 2.5331792478372353e+01 2.5321168021511212e+01 2.5310703189680794e+01 2.5299161309684912e+01 2.5284823779172015e+01 2.5266721756380804e+01 2.5244312638656183e+01 2.5216908664091850e+01 2.5183640831001902e+01 2.5143509114938873e+01 2.5095394652582552e+01 2.5037998571221049e+01 2.4969766368039686e+01 2.4888872608187960e+01 2.4793209263836285e+01 2.4680356444572755e+01 2.4547555353752280e+01 2.4391641849022481e+01 2.4208500710863920e+01 2.3991026525412835e+01 2.3730819371719722e+01 2.3424600882664347e+01 2.3070333544395865e+01 2.2663798783565841e+01 2.2199985190317630e+01 2.1674043404600948e+01 2.1081715456764901e+01 2.0419730095846457e+01 1.9686249057935939e+01 1.8881350741540295e+01 1.8007513966667819e+01 1.7070040782805798e+01 1.6077351669748243e+01 1.5041068348677092e+01 1.3975814467030759e+01 1.2898679436226619e+01 1.1749426987081021e+01 1.0631723363091771e+01 9.5679593519272910e+00 8.5773798580350125e+00 7.6745671063206400e+00 6.8685098104782041e+00 6.1623931901815316e+00 5.5540923634213142e+00 5.0372179092360128e+00 4.6024412022512040e+00 4.2388906997858697e+00 3.9354397815137450e+00 3.6816576974538835e+00 3.4681935449255596e+00 3.2871799407835067e+00 3.1323213845200391e+00 2.9986547928382206e+00 2.8823966137388899e+00 2.7806493151834459e+00 2.6912792827597936e+00 2.6125772256044697e+00 2.5432912407707389e+00 2.4823275335098303e+00 2.4289106902234834e+00 2.3822823107542725e+00 2.3418069151825036e+00 2.3069809465234927e+00 2.2772757750118022e+00 2.2521610769533829e+00 2.2312374882964456e+00 2.2140129625226668e+00 2.2000932102852433e+00 2.1890342203283888e+00 2.1804305927767582e+00 2.1737411823265824e+00 2.1684471295225589e+00 2.1641351397012998e+00 2.1604262965314454e+00 2.1569699090496859e+00 2.1545382696782225e+00 2.1520874614589363e+00 2.1495886920985501e+00 2.1469721824353010e+00 2.1442731823715175e+00 2.1414166572634019e+00 2.1384852376724086e+00 2.1352369544332461e+00 2.1317605267155595e+00 2.1279919701377787e+00 2.1238813197867072e+00 2.1193678611224742e+00 2.1143831978678085e+00 2.1088317568691317e+00 2.1027122338372077e+00 2.0958112578195882e+00 2.0880739739606118e+00 2.0793881119117259e+00 2.0696328536005759e+00 2.0586836058841027e+00 2.0464154004237964e+00 2.0326926237200453e+00 2.0175219306278938e+00 2.0006547736992690e+00 1.9821419306385810e+00 1.9620262462176878e+00 1.9404655157036665e+00 1.9177282045985149e+00 1.8943252917933033e+00 1.8710195205744529e+00 1.8490452600562695e+00 1.8299835073186739e+00 1.8162800091229905e+00 1.8113531232258893e+00 1.8201630363754420e+00 1.8499354323175055e+00 1.9116195292282361e+00 2.0225498521867986e+00 2.2119145894706760e+00 1.1328944195897783e-01 +3.2045303131245952e+01 2.4189228572981893e+01 2.4177741234238184e+01 2.4172742066541094e+01 2.4165304810309255e+01 2.4155860745046315e+01 2.4145713463596277e+01 2.4135712222665024e+01 2.4124678411673145e+01 2.4110972911574727e+01 2.4093670478370399e+01 2.4072252244185595e+01 2.4046060909440602e+01 2.4014266155268448e+01 2.3975912432545400e+01 2.3929930623580564e+01 2.3875079661458031e+01 2.3809874262772347e+01 2.3732570319738944e+01 2.3641153800663968e+01 2.3533312858598197e+01 2.3406412047217156e+01 2.3257428946928560e+01 2.3082432938171014e+01 2.2874637112233430e+01 2.2626018339361437e+01 2.2333448418507654e+01 2.1994986666538622e+01 2.1606610125926547e+01 2.1163540457145679e+01 2.0661156822071195e+01 2.0095406447109806e+01 1.9463182516581373e+01 1.8762750462321993e+01 1.7994209578609333e+01 1.7159954160755429e+01 1.6265075754779687e+01 1.5317642792005953e+01 1.4328776729571892e+01 1.3312458354261084e+01 1.2285012474618014e+01 1.1189018726176943e+01 1.0123366513314259e+01 9.1093908016829914e+00 8.1654080201682291e+00 7.3052742434989559e+00 6.5375042740272740e+00 5.8650787810754821e+00 5.2859212883732365e+00 4.7938996551557969e+00 4.3800918628135745e+00 4.0341170786445995e+00 3.7453615209258970e+00 3.5038823209113610e+00 3.3007711076352324e+00 3.1285361678749686e+00 2.9811847929589859e+00 2.8539940183997499e+00 2.7433642095286586e+00 2.6465391702799752e+00 2.5614896441739123e+00 2.4865900086984332e+00 2.4206497090850374e+00 2.3626284615261484e+00 2.3117888090039775e+00 2.2674093567232911e+00 2.2288855894787316e+00 2.1957384605979646e+00 2.1674650127607396e+00 2.1435606207921993e+00 2.1236452620965540e+00 2.1072506855596216e+00 2.0940016362064067e+00 2.0834755279803541e+00 2.0752865002076959e+00 2.0689194816863488e+00 2.0638806163392633e+00 2.0597765057572923e+00 2.0562464822997635e+00 2.0529567577334942e+00 2.0506423743850881e+00 2.0483097480369374e+00 2.0459314739411569e+00 2.0434411374085357e+00 2.0408722883554522e+00 2.0381535125250796e+00 2.0353634452446636e+00 2.0322718003627092e+00 2.0289630124926261e+00 2.0253761826904175e+00 2.0214637554359705e+00 2.0171679439561570e+00 2.0124236501580035e+00 2.0071399117050075e+00 2.0013154767582537e+00 1.9947472780981745e+00 1.9873830998226656e+00 1.9791160854737604e+00 1.9698312430639482e+00 1.9594099875790634e+00 1.9477333769123295e+00 1.9346723391552372e+00 1.9202331982464442e+00 1.9041794062480588e+00 1.8865592862887683e+00 1.8674136171313669e+00 1.8468925848997866e+00 1.8252517092178144e+00 1.8029773286262243e+00 1.7807954073585504e+00 1.7598807816739788e+00 1.7417382228443379e+00 1.7286955334969218e+00 1.7240062334502109e+00 1.7323913161893170e+00 1.7607280300812411e+00 1.8194376021082532e+00 1.9250186563585392e+00 2.1052518585668358e+00 1.0762179770436751e-01 +3.2101932045303244e+01 2.3066156920452741e+01 2.3055016590389197e+01 2.3050247158920047e+01 2.3043150357321114e+01 2.3034135548327850e+01 2.3024444193271773e+01 2.3014886196731695e+01 2.3004338329552485e+01 2.2991237295488947e+01 2.2974699499214079e+01 2.2954228783160659e+01 2.2929196975270987e+01 2.2898810732341815e+01 2.2862157023520915e+01 2.2818214285838053e+01 2.2765796711604704e+01 2.2703485184312886e+01 2.2629613335306967e+01 2.2542256979303158e+01 2.2439207536195763e+01 2.2317947448244819e+01 2.2175589732677032e+01 2.2008380169050195e+01 2.1809836214088591e+01 2.1572294792396836e+01 2.1292771059243492e+01 2.0969416614002235e+01 2.0598395134263470e+01 2.0175150619046050e+01 1.9695280095778340e+01 1.9154926216303323e+01 1.8551138473677081e+01 1.7882280395403885e+01 1.7148470090673225e+01 1.6352019811323686e+01 1.5497818626177544e+01 1.4593597285901454e+01 1.3649998126826178e+01 1.2680386903480567e+01 1.1700357567997324e+01 1.0655174970695947e+01 9.6391697453300207e+00 8.6726702848059407e+00 7.7731088596892377e+00 6.9536511306207993e+00 6.2223625330529995e+00 5.5820313907961232e+00 5.0306299239820991e+00 4.5622734401627065e+00 4.1684291965850759e+00 3.8391852462226237e+00 3.5644172790342554e+00 3.3346477068347231e+00 3.1413899215355965e+00 2.9775100748982126e+00 2.8373037859070371e+00 2.7162766646695418e+00 2.6110041062979468e+00 2.5188643949223462e+00 2.4379275548855981e+00 2.3666475574437302e+00 2.3038922046705350e+00 2.2486721185415570e+00 2.2002859495921836e+00 2.1580475113806949e+00 2.1213817518245075e+00 2.0898329472856401e+00 2.0629225721475635e+00 2.0401704605548887e+00 2.0212149992858990e+00 2.0056105875854513e+00 1.9930000906546854e+00 1.9829813190556951e+00 1.9751870144449604e+00 1.9691269298805225e+00 1.9643310139805172e+00 1.9604248117919736e+00 1.9570650300670407e+00 1.9539339727893230e+00 1.9517312198453667e+00 1.9495111052487495e+00 1.9472475452717370e+00 1.9448773283003644e+00 1.9424323858374262e+00 1.9398447501975833e+00 1.9371892537212818e+00 1.9342467319635133e+00 1.9310975408774944e+00 1.9276837189275138e+00 1.9239600043879201e+00 1.9198713977765882e+00 1.9153559409528829e+00 1.9103270610652912e+00 1.9047835567534686e+00 1.8985321694157840e+00 1.8915231958183829e+00 1.8836549336418396e+00 1.8748179374620657e+00 1.8648993421311488e+00 1.8537859426443153e+00 1.8413548947249261e+00 1.8276122077933474e+00 1.8123327569735297e+00 1.7955625288935624e+00 1.7773403354346951e+00 1.7578091186421929e+00 1.7372120733810366e+00 1.7160120800454246e+00 1.6949000883089367e+00 1.6749942583396022e+00 1.6577267921096570e+00 1.6453132071556860e+00 1.6408500939004007e+00 1.6488307288262765e+00 1.6758006421970448e+00 1.7316784018443534e+00 1.8321668357760161e+00 2.0037066183026249e+00 1.0223673655073716e-01 +3.2158560959360535e+01 2.1994868779972858e+01 2.1984064327906385e+01 2.1979514052843097e+01 2.1972742278523462e+01 2.1964137343068195e+01 2.1954881592203915e+01 2.1945747379191662e+01 2.1935664279561490e+01 2.1923141334517041e+01 2.1907334733696192e+01 2.1887770045917790e+01 2.1863846951642191e+01 2.1834807450432805e+01 2.1799779157735685e+01 2.1757785969760651e+01 2.1707694902369298e+01 2.1648150086703950e+01 2.1577559461873864e+01 2.1494084720451283e+01 2.1395615981334256e+01 2.1279748352995703e+01 2.1143724279203795e+01 2.0983958098229301e+01 2.0794258113540870e+01 2.0567305302591706e+01 2.0300251672653385e+01 1.9991336768350479e+01 1.9636902329586025e+01 1.9232604450792383e+01 1.8774247859883140e+01 1.8258161322986851e+01 1.7681542910319674e+01 1.7042848937308833e+01 1.6342214392601221e+01 1.5581871917269789e+01 1.4766515840240000e+01 1.3903553030436449e+01 1.3003166972419686e+01 1.2078135033636645e+01 1.1143352589879306e+01 1.0146645033448250e+01 9.1779924438568337e+00 8.2567636208762849e+00 7.3995489033753206e+00 6.6188575369746383e+00 5.9223288848351192e+00 5.3125704371328721e+00 4.7876032620824311e+00 4.3417806295809616e+00 3.9669424598020391e+00 3.6536248207808133e+00 3.3921705578219790e+00 3.1735457981455450e+00 2.9896658933011313e+00 2.8337378919491325e+00 2.7003319622502371e+00 2.5851712958472608e+00 2.4849978567756250e+00 2.3973178840933684e+00 2.3202958514225975e+00 2.2524614465132267e+00 2.1927379820108142e+00 2.1401845066761287e+00 2.0941340191621194e+00 2.0539338311829920e+00 2.0190369246292659e+00 1.9890097688297483e+00 1.9633970887725543e+00 1.9417419981646717e+00 1.9237004057437648e+00 1.9088482708831505e+00 1.8968457084226962e+00 1.8873099460607667e+00 1.8798914355866112e+00 1.8741235640563279e+00 1.8695589432352642e+00 1.8658411541958662e+00 1.8626434454392651e+00 1.8596634412994060e+00 1.8575669615581640e+00 1.8554539591404600e+00 1.8532996079832318e+00 1.8510437458467845e+00 1.8487167634985870e+00 1.8462539743222368e+00 1.8437265906995495e+00 1.8409260354186912e+00 1.8379287818266192e+00 1.8346796648233028e+00 1.8311356063954198e+00 1.8272442605912487e+00 1.8229466585248137e+00 1.8181604060702559e+00 1.8128843504422705e+00 1.8069345702020834e+00 1.8002637545067874e+00 1.7927751078264980e+00 1.7843644651023622e+00 1.7749244065527903e+00 1.7643471889396170e+00 1.7525158966478152e+00 1.7394362401635826e+00 1.7248939687661451e+00 1.7089328450158487e+00 1.6915898082953804e+00 1.6730009042324026e+00 1.6533975944134371e+00 1.6332204268749770e+00 1.6131270170413075e+00 1.5941815694161408e+00 1.5777471987519640e+00 1.5659325265003565e+00 1.5616847448848683e+00 1.5692803420503489e+00 1.5949490497773895e+00 1.6481309000836728e+00 1.7437711162362095e+00 1.9070346899861468e+00 9.7120220497889112e-02 +3.2215189873417827e+01 2.0972995057319512e+01 2.0962515070505710e+01 2.0958174127336974e+01 2.0951712510767518e+01 2.0943498980046861e+01 2.0934659439815466e+01 2.0925930415188930e+01 2.0916291818334354e+01 2.0904321722044525e+01 2.0889214321876455e+01 2.0870515968117282e+01 2.0847652975629263e+01 2.0819901125140948e+01 2.0786426887584863e+01 2.0746297614273505e+01 2.0698430815155429e+01 2.0641531077099394e+01 2.0574077365473528e+01 2.0494313455535700e+01 2.0400223797224829e+01 2.0289511171597209e+01 2.0159541702646688e+01 2.0006890791726036e+01 1.9825644664290305e+01 1.9608813052628484e+01 1.9353678603622470e+01 1.9058564671191387e+01 1.8719982874201538e+01 1.8333791626238547e+01 1.7895993659579023e+01 1.7403094981435942e+01 1.6852434883888350e+01 1.6242557439861443e+01 1.5573612718775419e+01 1.4847756134260605e+01 1.4069494733251592e+01 1.3245924754621740e+01 1.2386790261044908e+01 1.1504305744146732e+01 1.0612698879704510e+01 9.6622366716376913e+00 8.7387474495092192e+00 7.8606852331012007e+00 7.0438386628269631e+00 6.3000929147676903e+00 5.6366833871404642e+00 5.0560475932533500e+00 4.5562554746535309e+00 4.1318891131049229e+00 3.7751451681110897e+00 3.4769877650442469e+00 3.2282055923388668e+00 3.0201879161028482e+00 2.8452331654803169e+00 2.6968731158259023e+00 2.5699393594888820e+00 2.4603622016181967e+00 2.3650421206569838e+00 2.2816071000298312e+00 2.2083114648433408e+00 2.1437569298905998e+00 2.0869196101917771e+00 2.0369046223714711e+00 1.9930776390520213e+00 1.9548178425443357e+00 1.9216048885311015e+00 1.8930263636928226e+00 1.8686491193395909e+00 1.8480384255711995e+00 1.8308668682279872e+00 1.8167309287703859e+00 1.8053071427293499e+00 1.7962312222368089e+00 1.7891704795732577e+00 1.7836808022691844e+00 1.7793363781352707e+00 1.7757979600563079e+00 1.7727545453142324e+00 1.7699183435486323e+00 1.7679230354972515e+00 1.7659120033977249e+00 1.7638616185223386e+00 1.7617146216394182e+00 1.7594999367524629e+00 1.7571560007070297e+00 1.7547505802050727e+00 1.7520851763331031e+00 1.7492325665132653e+00 1.7461402478385719e+00 1.7427672211829059e+00 1.7390636667390158e+00 1.7349734613827876e+00 1.7304181890142329e+00 1.7253967435776139e+00 1.7197340918895814e+00 1.7133852009435131e+00 1.7062579464482011e+00 1.6982531902287406e+00 1.6892686964699193e+00 1.6792019215031484e+00 1.6679415936722990e+00 1.6554931393537875e+00 1.6416526593099243e+00 1.6264617990792753e+00 1.6099557154345518e+00 1.5922638886405835e+00 1.5736066102590274e+00 1.5544031680283161e+00 1.5352794432387749e+00 1.5172482752929402e+00 1.5016070076302848e+00 1.4903624974072756e+00 1.4863197103863834e+00 1.4935487534259182e+00 1.5179787196136907e+00 1.5685940771166063e+00 1.6596188129723348e+00 1.8150034758160729e+00 9.2258906169768506e-02 +3.2271818787475119e+01 1.9998273275710570e+01 1.9988107237283078e+01 1.9983966138997726e+01 1.9977800606911444e+01 1.9969960756121232e+01 1.9961518889828699e+01 1.9953177277221283e+01 1.9943963795421013e+01 1.9932522395987771e+01 1.9918083586629891e+01 1.9900213591592010e+01 1.9878364196315829e+01 1.9851843469414902e+01 1.9819855024197565e+01 1.9781507750420911e+01 1.9735767424272520e+01 1.9681396418450682e+01 1.9616941586317527e+01 1.9540725156648328e+01 1.9450821733529924e+01 1.9345036996067545e+01 1.9220855254532680e+01 1.9075005807387942e+01 1.8901840445698799e+01 1.8694683031458819e+01 1.8450940917635581e+01 1.8169017323699357e+01 1.7845585936093613e+01 1.7476698157078140e+01 1.7058545474657095e+01 1.6587802681861785e+01 1.6061943295284902e+01 1.5479594378386974e+01 1.4840919411017982e+01 1.4147998912689886e+01 1.3405159836124753e+01 1.2619200515431588e+01 1.1799444216112544e+01 1.0957566978422186e+01 1.0107158310658235e+01 9.2008133783645647e+00 8.3203985738549022e+00 7.4834958820988042e+00 6.7051305779546801e+00 5.9965945391056570e+00 5.3647401784363860e+00 4.8118452699773604e+00 4.3360285390442215e+00 3.9320920540899258e+00 3.5925739521168478e+00 3.3088473319251541e+00 3.0721263724740213e+00 2.8742038461578661e+00 2.7077432564417663e+00 2.5665856958869306e+00 2.4458116787957955e+00 2.3415486559597465e+00 2.2508479526835239e+00 2.1714533858043064e+00 2.1017047566481195e+00 2.0402722963844919e+00 1.9861823456165655e+00 1.9385838442082968e+00 1.8968735457858223e+00 1.8604609543621042e+00 1.8288511048764196e+00 1.8016516776209466e+00 1.7784505800097141e+00 1.7588341692861242e+00 1.7424909040413972e+00 1.7290367994970561e+00 1.7181640225422181e+00 1.7095258816014607e+00 1.7028057403293972e+00 1.6975809072767356e+00 1.6934461110516343e+00 1.6900784533094479e+00 1.6871819249522080e+00 1.6844826209453598e+00 1.6825836266261998e+00 1.6806696684725593e+00 1.6787182576348947e+00 1.6766748985142457e+00 1.6745671187870266e+00 1.6723363286898723e+00 1.6700470151666722e+00 1.6675102730090130e+00 1.6647953614655846e+00 1.6618523119896269e+00 1.6586421045186091e+00 1.6551173240908346e+00 1.6512245566954005e+00 1.6468891731493285e+00 1.6421101123482795e+00 1.6367208019157813e+00 1.6306783775889304e+00 1.6238951620053013e+00 1.6162768024997949e+00 1.6077259982877805e+00 1.5981451556092492e+00 1.5874283756586982e+00 1.5755808147906234e+00 1.5624084275695143e+00 1.5479508444294732e+00 1.5322415251292114e+00 1.5154036998301403e+00 1.4976470264216517e+00 1.4793705532227535e+00 1.4611699511133736e+00 1.4440091612530130e+00 1.4291229134042656e+00 1.4184211871840282e+00 1.4145735512456663e+00 1.4214536413244983e+00 1.4447043478424977e+00 1.4928764503163141e+00 1.5795073317312611e+00 1.7273914132488857e+00 8.7640110590325448e-02 +3.2328447701532411e+01 1.9068544069469251e+01 1.9058681911300827e+01 1.9054731621956993e+01 1.9048848758148768e+01 1.9041365611767851e+01 1.9033303657075312e+01 1.9025332443342691e+01 1.9016525530120614e+01 1.9005589718101223e+01 1.8991790215071813e+01 1.8974712249148119e+01 1.8953831963648831e+01 1.8928488287190866e+01 1.8897920336807779e+01 1.8861276707832463e+01 1.8817569311915861e+01 1.8765615754463635e+01 1.8704027775757634e+01 1.8631202587522903e+01 1.8545300954179453e+01 1.8444226887777294e+01 1.8325577632247235e+01 1.8186229532836414e+01 1.8020788133272429e+01 1.7822877443813805e+01 1.7590023856570948e+01 1.7320706696071241e+01 1.7011754260357989e+01 1.6659402035507529e+01 1.6260021443841929e+01 1.5810448007087848e+01 1.5308282810212633e+01 1.4752231390170790e+01 1.4142469087273787e+01 1.3481003809995128e+01 1.2771989343361406e+01 1.2021938335777813e+01 1.1239771107489435e+01 1.0436648630483541e+01 9.6255504917761474e+00 8.7612917985126195e+00 7.9219582288960630e+00 7.1243005045207646e+00 6.3826170557418695e+00 5.7076357343453585e+00 5.1058458763538361e+00 4.5793751688643747e+00 4.1263909274467707e+00 3.7419066973558173e+00 3.4187874665165259e+00 3.1487970596013448e+00 2.9235557105568026e+00 2.7352409665942408e+00 2.5768642405581437e+00 2.4425612579879155e+00 2.3276495463440354e+00 2.2284442106371625e+00 2.1421401240115987e+00 2.0665913110210927e+00 2.0002188857669609e+00 1.9417582552916124e+00 1.8902835340661475e+00 1.8449853493699140e+00 1.8052900201175079e+00 1.7706358980194037e+00 1.7405521652422269e+00 1.7146656213188483e+00 1.6925842110515061e+00 1.6739143608980827e+00 1.6583596364438375e+00 1.6455546456875250e+00 1.6352064352790971e+00 1.6269850642275498e+00 1.6205891770657106e+00 1.6156164754059994e+00 1.6116812427994975e+00 1.6084761458665406e+00 1.6057194499674154e+00 1.6031504688227765e+00 1.6013431622772185e+00 1.5995216155327603e+00 1.5976644249073277e+00 1.5957197257094302e+00 1.5937137163644963e+00 1.5915906375961701e+00 1.5894118545704390e+00 1.5869975943628423e+00 1.5844137672969132e+00 1.5816128174630271e+00 1.5785576088027575e+00 1.5752030156917782e+00 1.5714982031119595e+00 1.5673721468201840e+00 1.5628238289417369e+00 1.5576947309168876e+00 1.5519440533134201e+00 1.5454883521164384e+00 1.5382378303094473e+00 1.5300998851092908e+00 1.5209816349078542e+00 1.5107822956054680e+00 1.4995067669245310e+00 1.4869703833456724e+00 1.4732108572433251e+00 1.4582600328687381e+00 1.4422351904724497e+00 1.4253358650236057e+00 1.4079418375391344e+00 1.3906200194506166e+00 1.3742878026975835e+00 1.3601203102279427e+00 1.3499352974913164e+00 1.3462734392258608e+00 1.3528213369250355e+00 1.3749494249368657e+00 1.4207956246369855e+00 1.5032436931893092e+00 1.6439874548912183e+00 8.3251778637735238e-02 +3.2385076615589703e+01 1.8181746554987058e+01 1.8172178407890016e+01 1.8168409982476735e+01 1.8162796916955493e+01 1.8155654420039941e+01 1.8147955400961621e+01 1.8140338291946893e+01 1.8131920203104791e+01 1.8121467867465217e+01 1.8108279654678022e+01 1.8091958963735092e+01 1.8072005231322379e+01 1.8047786880972236e+01 1.8018576966006652e+01 1.7983562034605391e+01 1.7941798096134374e+01 1.7892155547194282e+01 1.7833308145193858e+01 1.7763724766118578e+01 1.7681648515882721e+01 1.7585077374769249e+01 1.7471716498779930e+01 1.7338582731225081e+01 1.7180524075594189e+01 1.6991451324583650e+01 1.6769004497288357e+01 1.6511735437669426e+01 1.6216619938720118e+01 1.5880069071967133e+01 1.5498625780314816e+01 1.5069278636985699e+01 1.4589749963695441e+01 1.4058819491113779e+01 1.3476672983146123e+01 1.2845247969642447e+01 1.2168531741945078e+01 1.1452762994940965e+01 1.0706476214086965e+01 9.9403396882763282e+00 9.1667500980682775e+00 8.3426392632939113e+00 7.5424851658449015e+00 6.7822461515235366e+00 6.0755285999771020e+00 5.4325241829881543e+00 4.8593780507916193e+00 4.3580769028852719e+00 3.9268363576746110e+00 3.5608732327976003e+00 3.2533653503205011e+00 2.9964498136724793e+00 2.7821343526215552e+00 2.6029634180198884e+00 2.4522799668271742e+00 2.3245003647711018e+00 2.2151678092046883e+00 2.1207760217725244e+00 2.0386564753584620e+00 1.9667680481257723e+00 1.9036092051429112e+00 1.8479773507937109e+00 1.7989920407318041e+00 1.7558835573833451e+00 1.7181063427704946e+00 1.6851261935842312e+00 1.6564952666938366e+00 1.6318585535025381e+00 1.6108430665203248e+00 1.5930743323663958e+00 1.5782702946144731e+00 1.5660832581417754e+00 1.5562344337053335e+00 1.5484098256191170e+00 1.5423226255716336e+00 1.5375899493372807e+00 1.5338446966166714e+00 1.5307943525480219e+00 1.5281707720926176e+00 1.5257258529852429e+00 1.5240058292403358e+00 1.5222722541027001e+00 1.5205047569599324e+00 1.5186539776455614e+00 1.5167448492026980e+00 1.5147243067700029e+00 1.5126507441449881e+00 1.5103530813401784e+00 1.5078940409079382e+00 1.5052283636584940e+00 1.5023207070244466e+00 1.4991281247316739e+00 1.4956022368455026e+00 1.4916754507860230e+00 1.4873467902479531e+00 1.4824654029648903e+00 1.4769924553854197e+00 1.4708485334482799e+00 1.4639481769183993e+00 1.4562032553006763e+00 1.4475253727461264e+00 1.4378186140464488e+00 1.4270876350208432e+00 1.4151566988554207e+00 1.4020616922529110e+00 1.3878329215738747e+00 1.3725820030129117e+00 1.3564988349672409e+00 1.3399448568301584e+00 1.3234596022357921e+00 1.3079161506929144e+00 1.2944328815797959e+00 1.2847397572378627e+00 1.2812547510251240e+00 1.2874864162452944e+00 1.3085458210747398e+00 1.3521778641443845e+00 1.4306440796141364e+00 1.5645905727114902e+00 7.9082452095088809e-02 +3.2441705529646995e+01 1.7335912737259019e+01 1.7326629172433563e+01 1.7323034272567252e+01 1.7317678774323173e+01 1.7310861524708738e+01 1.7303509297025130e+01 1.7296230698880084e+01 1.7288184453259245e+01 1.7278194439117247e+01 1.7265590714115060e+01 1.7249994052192182e+01 1.7230926164167048e+01 1.7207783663627151e+01 1.7179872040924185e+01 1.7146414121044373e+01 1.7106508062282799e+01 1.7059074717754303e+01 1.7002847117779858e+01 1.6936362629216383e+01 1.6857943048018221e+01 1.6765676149823843e+01 1.6657370201980250e+01 1.6530176285699063e+01 1.6379174068658976e+01 1.6198548349066982e+01 1.5986047604251270e+01 1.5740292778886678e+01 1.5458400368333129e+01 1.5136948919386167e+01 1.4772644870799716e+01 1.4362622532276346e+01 1.3904719439712055e+01 1.3397785462888530e+01 1.2842015458450103e+01 1.2239278759243989e+01 1.1593402592960128e+01 1.0910362964954556e+01 1.0198324924833473e+01 9.4674855073973667e+00 8.7296843230221519e+00 7.9438714381765934e+00 7.1810823181460224e+00 6.4565200226261474e+00 5.7831320277699874e+00 5.1706003132056670e+00 4.6247437682459491e+00 4.1474166815334987e+00 3.7368826023553954e+00 3.3885537122375169e+00 3.0959072358134065e+00 2.8514368742253935e+00 2.6475201313427039e+00 2.4770513117498303e+00 2.3336893140718660e+00 2.2121178106145800e+00 2.1080948642357731e+00 2.0182842079382746e+00 1.9401473004263552e+00 1.8717427779253872e+00 1.8116426865864868e+00 1.7587034037688432e+00 1.7120877069255971e+00 1.6710635999137518e+00 1.6351122756668712e+00 1.6037256410031653e+00 1.5764777116096134e+00 1.5530307881430374e+00 1.5330300278226063e+00 1.5161191349289598e+00 1.5020297370086428e+00 1.4904309828587872e+00 1.4810575659232790e+00 1.4736106690425235e+00 1.4678173323786781e+00 1.4633131536988935e+00 1.4597487548755734e+00 1.4568457287174073e+00 1.4543488676100467e+00 1.4520220488713473e+00 1.4503851134419161e+00 1.4487352822683794e+00 1.4470531681935943e+00 1.4452917952287794e+00 1.4434748918556495e+00 1.4415519580614211e+00 1.4395785594719750e+00 1.4373918907218071e+00 1.4350516400256983e+00 1.4325147345400140e+00 1.4297475389986660e+00 1.4267091817438768e+00 1.4233536199435302e+00 1.4196165276796169e+00 1.4154969686181793e+00 1.4108513878121034e+00 1.4056428233511664e+00 1.3997956974636350e+00 1.3932286782772081e+00 1.3858578926596381e+00 1.3775992149500156e+00 1.3683613647656234e+00 1.3581487661210976e+00 1.3467941812921729e+00 1.3343317592685373e+00 1.3207903424241778e+00 1.3062761550981097e+00 1.2909699222172317e+00 1.2752156230037313e+00 1.2595267289197087e+00 1.2447341369288516e+00 1.2319022092889413e+00 1.2226773345397230e+00 1.2193606812802109e+00 1.2252913112680348e+00 1.2453333908936879e+00 1.2868576836006782e+00 1.3615334027566628e+00 1.4890092854811494e+00 7.5121240219640811e-02 +3.2498334443704287e+01 1.6529164550049046e+01 1.6520156572388711e+01 1.6516727099039638e+01 1.6511617421807358e+01 1.6505110753538169e+01 1.6498089818857938e+01 1.6491134825998142e+01 1.6483444170538156e+01 1.6473896238452113e+01 1.6461851360035013e+01 1.6446946924916311e+01 1.6428725941339639e+01 1.6406611965813994e+01 1.6379941491782084e+01 1.6347972018378375e+01 1.6309841989161754e+01 1.6264520481262071e+01 1.6210797173851578e+01 1.6147274890259148e+01 1.6072350625329690e+01 1.5984197960406055e+01 1.5880723684818310e+01 1.5759207133635465e+01 1.5614949318761598e+01 1.5442396830247707e+01 1.5239401667470466e+01 1.5004650616337138e+01 1.4735394391496838e+01 1.4428371275434136e+01 1.4080443549349424e+01 1.3688884289659452e+01 1.3251640518166742e+01 1.2767628402792583e+01 1.2237050661430290e+01 1.1661710560828361e+01 1.1045281459158781e+01 1.0393487486083693e+01 9.7141399716763566e+00 9.0169852094575749e+00 8.3133304478377372e+00 7.5640500788554537e+00 6.8368947439949865e+00 6.1463475905879053e+00 5.5047287688326305e+00 4.9212357614471944e+00 4.4013782040298448e+00 3.9468860573994378e+00 3.5560703539042704e+00 3.2245310169867789e+00 2.9460318039532991e+00 2.7134070656899887e+00 2.5193871586875090e+00 2.3571999753213073e+00 2.2208054810669648e+00 2.1051419496023964e+00 2.0061720183957044e+00 1.9207212383210066e+00 1.8463747582021957e+00 1.7812861229277144e+00 1.7240973725419022e+00 1.6737209797463826e+00 1.6293608322315780e+00 1.5903208153731321e+00 1.5561075674380191e+00 1.5262378351056751e+00 1.5003064309204512e+00 1.4779921247830883e+00 1.4589573400722899e+00 1.4428630805495442e+00 1.4294539970428768e+00 1.4184152702110138e+00 1.4094944273636250e+00 1.4024070997669349e+00 1.3968935107445140e+00 1.3926068523986825e+00 1.3892146174943762e+00 1.3864518295784418e+00 1.3840755974006713e+00 1.3818612023042336e+00 1.3803033611969648e+00 1.3787332484244077e+00 1.3771324130368641e+00 1.3754561486365697e+00 1.3737270370476733e+00 1.3718970197422398e+00 1.3700189705073673e+00 1.3679379603017809e+00 1.3657107890951170e+00 1.3632964652893884e+00 1.3606629788526783e+00 1.3577714330140394e+00 1.3545780097007034e+00 1.3510214925525785e+00 1.3471009836587200e+00 1.3426798740852219e+00 1.3377229838187985e+00 1.3321583869613303e+00 1.3259086815571246e+00 1.3188940471804664e+00 1.3110344230880733e+00 1.3022429408544878e+00 1.2925238041941667e+00 1.2817178654068919e+00 1.2698576195230411e+00 1.2569705152986643e+00 1.2431576444044998e+00 1.2285909992702253e+00 1.2135979382530957e+00 1.1986671233958333e+00 1.1845892971705083e+00 1.1723774008698211e+00 1.1635982668429563e+00 1.1604418736982292e+00 1.1660859392733414e+00 1.1851595967721356e+00 1.2246774591789429e+00 1.2957448919687995e+00 1.4170612083209313e+00 7.1357791756482533e-02 +3.2554963357761579e+01 1.5759709277731261e+01 1.5750967710361667e+01 1.5747696533638489e+01 1.5742821283276987e+01 1.5736611201926612e+01 1.5729906729879179e+01 1.5723261096057636e+01 1.5715910476041634e+01 1.5706785262929396e+01 1.5695274701220306e+01 1.5681032072565861e+01 1.5663620746378530e+01 1.5642490030179392e+01 1.5617006049086807e+01 1.5586459443884218e+01 1.5550027161166073e+01 1.5506724367428482e+01 1.5455394881610255e+01 1.5394704082037341e+01 1.5323120824508198e+01 1.5238900681935382e+01 1.5140044578352587e+01 1.5023954382588654e+01 1.4886142585822082e+01 1.4721305895002907e+01 1.4527395117626442e+01 1.4303159773224817e+01 1.4045978608242297e+01 1.3752742255137935e+01 1.3420461538513482e+01 1.3046541660904539e+01 1.2629033681849437e+01 1.2166916429170094e+01 1.1660399343749035e+01 1.1111221706268777e+01 1.0522908971861042e+01 9.9009437754208989e+00 9.2527987888330809e+00 8.5877891994212057e+00 7.9167135221279112e+00 7.2022808906114300e+00 6.5091076638810437e+00 5.8509908130704700e+00 5.2396532437617651e+00 4.6838319066076384e+00 4.1887433192759200e+00 3.7560007313355528e+00 3.3839621425976998e+00 3.0684078738355338e+00 2.8033758840759853e+00 2.5820259275263759e+00 2.3974250564345949e+00 2.2431192333934109e+00 2.1133553099478042e+00 2.0033140550117481e+00 1.9091528790603014e+00 1.8278513495701334e+00 1.7571123127948287e+00 1.6951796072418039e+00 1.6407618535446924e+00 1.5928248817777357e+00 1.5506116809076351e+00 1.5134602672111885e+00 1.4809014820998903e+00 1.4524757033334112e+00 1.4277975296908472e+00 1.4065614008585245e+00 1.3884461701473780e+00 1.3731293048313646e+00 1.3603678500589051e+00 1.3498622452309488e+00 1.3413722337643219e+00 1.3346272001783095e+00 1.3293799174308976e+00 1.3253003267045569e+00 1.3220719810475112e+00 1.3194426901029785e+00 1.3171812875879556e+00 1.3150739108156557e+00 1.3135913610031098e+00 1.3120971335420948e+00 1.3105736687091283e+00 1.3089784205813231e+00 1.3073328794646488e+00 1.3055913108527739e+00 1.3038040264863562e+00 1.3018235944280510e+00 1.2997040654912340e+00 1.2974064292561496e+00 1.2949002227734461e+00 1.2921484292047580e+00 1.2891093482592213e+00 1.2857247235492850e+00 1.2819936940928265e+00 1.2777862624888738e+00 1.2730689451519557e+00 1.2677732924669867e+00 1.2618256434270521e+00 1.2551500354514820e+00 1.2476702772567336e+00 1.2393037001632206e+00 1.2300542985193805e+00 1.2197706251774301e+00 1.2084836009347995e+00 1.1962193479440806e+00 1.1830740719971315e+00 1.1692114529094997e+00 1.1549430273633088e+00 1.1407338408286789e+00 1.1273364123571159e+00 1.1157147343210854e+00 1.1073599083821475e+00 1.1043560694662096e+00 1.1097273495436117e+00 1.1278791497443745e+00 1.1654870574084835e+00 1.2331197016207782e+00 1.3485726233672894e+00 6.7782268326106176e-02 +3.2611592271818871e+01 1.5025835712772984e+01 1.5017352036534747e+01 1.5014231684654423e+01 1.5009580355121056e+01 1.5003653394195853e+01 1.4997251247686945e+01 1.4990901348821527e+01 1.4983875881269256e+01 1.4975154862930218e+01 1.4964155151656586e+01 1.4950545231790901e+01 1.4933907936122901e+01 1.4913717184102353e+01 1.4889367421046055e+01 1.4860180964048674e+01 1.4825371558393558e+01 1.4783998418815806e+01 1.4734957104890487e+01 1.4676972775803886e+01 1.4608582956903138e+01 1.4528121566341930e+01 1.4433679468939975e+01 1.4322775599626594e+01 1.4191124499051659e+01 1.4033661831333955e+01 1.3848432710585216e+01 1.3634246427235386e+01 1.3388603854215726e+01 1.3108540926238190e+01 1.2791210050274023e+01 1.2434142228341688e+01 1.2035487376134064e+01 1.1594283535457905e+01 1.1110745819240757e+01 1.0586551551607322e+01 1.0025084030990842e+01 9.4315943623553089e+00 8.8132309924438648e+00 8.1788967964187034e+00 7.5389041510470687e+00 6.8577114860783031e+00 6.1969445886570398e+00 5.5697464271760255e+00 4.9872713176658863e+00 4.4578184724994818e+00 3.9863265996876542e+00 3.5742994135487791e+00 3.2201413053802082e+00 2.9198059171614998e+00 2.6675935958506001e+00 2.4569749238196819e+00 2.2813382228014549e+00 2.1345327223724921e+00 2.0110786413648056e+00 1.9063877088450336e+00 1.8168027729069658e+00 1.7394499899638531e+00 1.6721441995357689e+00 1.6132151417895626e+00 1.5614347701720632e+00 1.5158196670650406e+00 1.4756500114242828e+00 1.4402962847725618e+00 1.4093123498095448e+00 1.3822610651293339e+00 1.3587758539801669e+00 1.3385660649904729e+00 1.3213261854712757e+00 1.3067493504233259e+00 1.2946044005762338e+00 1.2846062980449813e+00 1.2765264141666219e+00 1.2701072248059988e+00 1.2651134493178122e+00 1.2612309730881357e+00 1.2581586375759417e+00 1.2556564246583048e+00 1.2535043298560216e+00 1.2514988245925751e+00 1.2500879449318041e+00 1.2486659530217816e+00 1.2472161375299184e+00 1.2456980091060725e+00 1.2441320190473251e+00 1.2424746450224200e+00 1.2407737602934383e+00 1.2388890689691379e+00 1.2368720051348956e+00 1.2346854442602804e+00 1.2323003960740893e+00 1.2296816332506528e+00 1.2267894714259719e+00 1.2235684717524697e+00 1.2200178087413465e+00 1.2160137780595737e+00 1.2115245111646415e+00 1.2064848675261144e+00 1.2008247471635642e+00 1.1944718597894786e+00 1.1873536974770074e+00 1.1793915892349247e+00 1.1705893304362751e+00 1.1608028036663316e+00 1.1500614313987059e+00 1.1383900729807721e+00 1.1258802833217978e+00 1.1126878294222147e+00 1.0991091872465901e+00 1.0855869215014395e+00 1.0728371665089049e+00 1.0617773195579734e+00 1.0538263941497394e+00 1.0509677721375466e+00 1.0560793866180824e+00 1.0733536672525563e+00 1.1091434815116377e+00 1.1735065369127109e+00 1.2833780705525981e+00 6.4385319118752338e-02 +3.2668221185876163e+01 1.4325910203513859e+01 1.4317676370284600e+01 1.4314700071034562e+01 1.4310262351536780e+01 1.4304605702037348e+01 1.4298492366806283e+01 1.4292425171207078e+01 1.4285710618660753e+01 1.4277376073710352e+01 1.4266864764853059e+01 1.4253859721887020e+01 1.4237962380455203e+01 1.4218670183268085e+01 1.4195404641753520e+01 1.4167518348124364e+01 1.4134260216615948e+01 1.4094731558537097e+01 1.4047877380282513e+01 1.3992479969287853e+01 1.3927142469463904e+01 1.3850273658289744e+01 1.3760050332352765e+01 1.3654103266562986e+01 1.3528340037342337e+01 1.3377924599048368e+01 1.3200992073753582e+01 1.2996408698321407e+01 1.2761791836474222e+01 1.2494315999944375e+01 1.2191268539768483e+01 1.1850300229989905e+01 1.1469654914648341e+01 1.1048426586169082e+01 1.0586835060306301e+01 1.0086497683819978e+01 9.5506611322660699e+00 8.9843545454561795e+00 8.3944159752633549e+00 7.7893539731261177e+00 7.1790163839813719e+00 6.5295294371198889e+00 5.8996655341799036e+00 5.3019443229874499e+00 4.7469788256393173e+00 4.2426521954538510e+00 3.7936398532542350e+00 3.4013427379468872e+00 3.0642110029498069e+00 2.7783647950373980e+00 2.5383555314835924e+00 2.3379506899861617e+00 2.1708451335058294e+00 2.0311772372337669e+00 1.9137276998897432e+00 1.8141282199903270e+00 1.7288981920755122e+00 1.6553032896600866e+00 1.5912649161043981e+00 1.5351945336580415e+00 1.4859243383335838e+00 1.4425191862704025e+00 1.4042946280536459e+00 1.3706520256786989e+00 1.3411671386928381e+00 1.3154242119848043e+00 1.2930745780221873e+00 1.2738417702900251e+00 1.2574351525298983e+00 1.2435627699525260e+00 1.2320046889013501e+00 1.2224896934980909e+00 1.2148002229811010e+00 1.2086912143426951e+00 1.2039387589270532e+00 1.2002439199266994e+00 1.1973200922295073e+00 1.1949388453948950e+00 1.1928908004854755e+00 1.1909822661331229e+00 1.1896396087192931e+00 1.1882863772095589e+00 1.1869066678711027e+00 1.1854619490030511e+00 1.1839716828834552e+00 1.1823944528665649e+00 1.1807758113751814e+00 1.1789822548014268e+00 1.1770627265857527e+00 1.1749818973628854e+00 1.1727121786852475e+00 1.1702200466506854e+00 1.1674677358399315e+00 1.1644024893306602e+00 1.1610235157412383e+00 1.1572131006074056e+00 1.1529409129204495e+00 1.1481449620405257e+00 1.1427585376955811e+00 1.1367128452219712e+00 1.1299388828432568e+00 1.1223617848733931e+00 1.1139851575868229e+00 1.1046718602446055e+00 1.0944498892636563e+00 1.0833429019382199e+00 1.0714380260382768e+00 1.0588834964284795e+00 1.0459614529109267e+00 1.0330930608937672e+00 1.0209598206833039e+00 1.0104347757300700e+00 1.0028683196303121e+00 1.0001479282288614e+00 1.0050123693338262e+00 1.0214513469396389e+00 1.0555105343225348e+00 1.1167612972356942e+00 1.2213199575635747e+00 6.1158056831691579e-02 +3.2724850099933455e+01 1.3658374272597596e+01 1.3650382260078546e+01 1.3647543143503087e+01 1.3643309382996843e+01 1.3637910801239535e+01 1.3632073346553534e+01 1.3626276392403220e+01 1.3619859135992197e+01 1.3611894111250875e+01 1.3601849731652159e+01 1.3589422945020663e+01 1.3574232965478100e+01 1.3555799718408229e+01 1.3533570582227018e+01 1.3506927084457303e+01 1.3475151749883077e+01 1.3437386120371610e+01 1.3392622455878760e+01 1.3339697636064123e+01 1.3277277506421065e+01 1.3203842371462221e+01 1.3117651127334591e+01 1.3016441393715649e+01 1.2896305167144597e+01 1.2752624496511778e+01 1.2583620407106682e+01 1.2388213389632126e+01 1.2164131920180809e+01 1.1908682670399235e+01 1.1619281604896802e+01 1.1293693527544104e+01 1.0930251524518066e+01 1.0528102448567900e+01 1.0087469925595798e+01 9.6099132542443932e+00 9.0985478157571080e+00 8.5581899650480668e+00 7.9953806112078292e+00 7.4182511985345974e+00 6.8362057001854160e+00 6.2169604164437340e+00 5.6165653184373738e+00 5.0469459925685856e+00 4.5182001668732532e+00 4.0378155540486107e+00 3.6102180641082047e+00 3.2367122273669859e+00 2.9157932829666868e+00 2.6437413172897677e+00 2.4153479763452963e+00 2.2246643148514269e+00 2.0656776756492912e+00 1.9328021089869891e+00 1.8210665082811586e+00 1.7263120696995580e+00 1.6452262663077073e+00 1.5752075557960601e+00 1.5142787375329119e+00 1.4609290184518844e+00 1.4140478968305790e+00 1.3727461444099562e+00 1.3363729534920741e+00 1.3043590587311933e+00 1.2763010467362419e+00 1.2518035071714424e+00 1.2305348107538114e+00 1.2122319867287739e+00 1.1966185542217100e+00 1.1834167475773609e+00 1.1724173161853275e+00 1.1633621990931959e+00 1.1560443702567280e+00 1.1502306277537728e+00 1.1457078879835607e+00 1.1421916621784287e+00 1.1394091988286119e+00 1.1371430985360922e+00 1.1351940972707375e+00 1.1333778677326662e+00 1.1321001496606462e+00 1.1308123697033419e+00 1.1294993928941797e+00 1.1281245509872451e+00 1.1267063648357631e+00 1.1252054220949952e+00 1.1236650663367569e+00 1.1219582589536274e+00 1.1201315727780272e+00 1.1181513872201503e+00 1.1159914482035862e+00 1.1136198532769928e+00 1.1110006636218590e+00 1.1080836751228855e+00 1.1048681291631033e+00 1.1012420124853461e+00 1.0971764578075507e+00 1.0926124728008457e+00 1.0874865737820394e+00 1.0817332934963728e+00 1.0752869675976930e+00 1.0680763525221364e+00 1.0601048748409634e+00 1.0512420343520388e+00 1.0415144702102828e+00 1.0309446955030155e+00 1.0196156238998784e+00 1.0076683205899828e+00 9.9537127909181544e-01 9.8312529523017711e-01 9.7157890221512333e-01 9.6156292366547347e-01 9.5436243554368649e-01 9.5177362280082056e-01 9.5640278492667541e-01 9.7204665574172755e-01 1.0044584970115891e+00 1.0627467362491427e+00 1.1622481881069771e+00 5.8092034788694964e-02 +3.2781479013990747e+01 1.3021739416171734e+01 1.3013981658923445e+01 1.3011273564171843e+01 1.3007234443197326e+01 1.3002082284288246e+01 1.2996508367234735e+01 1.2990969735566321e+01 1.2984836747158152e+01 1.2977225024518061e+01 1.2967627034432299e+01 1.2955753042655431e+01 1.2941239252794052e+01 1.2923627078054189e+01 1.2902388617324927e+01 1.2876933052421181e+01 1.2846575028470548e+01 1.2810494533751161e+01 1.2767728984898769e+01 1.2717167429054157e+01 1.2657535624754447e+01 1.2587382218010257e+01 1.2505044541473637e+01 1.2408362285205506e+01 1.2293603630855527e+01 1.2156358976826477e+01 1.1994931332107182e+01 1.1808292874421198e+01 1.1594278059597160e+01 1.1350319596113941e+01 1.1073956025440742e+01 1.0763060710987936e+01 1.0416051524788534e+01 1.0032125253871250e+01 9.6115085132019349e+00 9.1557044329552948e+00 8.6677022304982483e+00 8.1521142865026999e+00 7.6151970647316434e+00 7.0647213796312087e+00 6.5096670870314943e+00 5.9192664248769171e+00 5.3469719374164510e+00 4.8041430508711045e+00 4.3003869640933132e+00 3.8428155580897112e+00 3.4356182999859484e+00 3.0800093072318138e+00 2.7745281871770948e+00 2.5156086435594278e+00 2.2982721661841419e+00 2.1168406564659592e+00 1.9655805128994972e+00 1.8391686114136032e+00 1.7328703292666023e+00 1.6427263831046941e+00 1.5655842598657823e+00 1.4989687912807141e+00 1.4409992539708598e+00 1.3902388146070843e+00 1.3456314761474870e+00 1.3063316823626865e+00 1.2717206215243706e+00 1.2412569663882183e+00 1.2145571128354264e+00 1.1912450042619858e+00 1.1710052208103112e+00 1.1535876316970100e+00 1.1387292251620249e+00 1.1261657382973211e+00 1.1156980870617041e+00 1.1070807303848571e+00 1.1001166692952278e+00 1.0945839916602251e+00 1.0902799181590657e+00 1.0869337132046926e+00 1.0842858125289325e+00 1.0821293177323872e+00 1.0802745934661053e+00 1.0785462259941188e+00 1.0773303215035990e+00 1.0761048426438860e+00 1.0748553862317767e+00 1.0735470577914281e+00 1.0721974820753410e+00 1.0707691545001266e+00 1.0693033164067942e+00 1.0676790825869111e+00 1.0659407695508085e+00 1.0640563832328358e+00 1.0620009396983114e+00 1.0597440798980615e+00 1.0572516036930117e+00 1.0544757368397029e+00 1.0514157521972829e+00 1.0479650628867681e+00 1.0440961950721950e+00 1.0397530104102735e+00 1.0348750964992155e+00 1.0294001533269568e+00 1.0232656933351922e+00 1.0164039206746385e+00 1.0088180911378977e+00 1.0003840250336256e+00 9.9112706975391907e-01 9.8106864924800719e-01 9.7028766593305638e-01 9.5891836042644263e-01 9.4721623682021716e-01 9.3556270178509038e-01 9.2457490853954294e-01 9.1504349274905983e-01 9.0819135692407649e-01 9.0572778931104125e-01 9.1013299748160370e-01 9.2502003356980556e-01 9.5586382288547422e-01 1.0113321379167155e+00 1.1060198076023016e+00 5.5179225183899103e-02 +3.2838107928048039e+01 1.2414585921563708e+01 1.2407054809239224e+01 1.2404471838567613e+01 1.2400618474018069e+01 1.2395701531120388e+01 1.2390379328415955e+01 1.2385087617379231e+01 1.2379226432589155e+01 1.2371952497451364e+01 1.2362781250743073e+01 1.2351435701451372e+01 1.2337568288083160e+01 1.2320740960381199e+01 1.2300449441663952e+01 1.2276129343043085e+01 1.2247126005213859e+01 1.2212656157007704e+01 1.2171800366978376e+01 1.2123497531556389e+01 1.2066530656515992e+01 1.1999513684259018e+01 1.1920858882700227e+01 1.1828503449033802e+01 1.1718883879081051e+01 1.1587789606656465e+01 1.1433601881915617e+01 1.1255342122784004e+01 1.1050945866838179e+01 1.0817966017077092e+01 1.0554057935363096e+01 1.0257198333623480e+01 9.9258856322707363e+00 9.5593637822554882e+00 9.1578616336348571e+00 8.7228279786120169e+00 8.2571308098161094e+00 7.7651869890901857e+00 7.2529807004014311e+00 6.7279378974038844e+00 6.1986332065217109e+00 5.6357441003956685e+00 5.0902450161109485e+00 4.5729558253055247e+00 4.0930167854712627e+00 3.6571825941075433e+00 3.2694186707989532e+00 2.9308543654453048e+00 2.6400729004381609e+00 2.3936555094802370e+00 2.1868435792656142e+00 2.0142176900685347e+00 1.8703104805044435e+00 1.7500493956539231e+00 1.6489251335319275e+00 1.5631684255543887e+00 1.4897790920848313e+00 1.4264022361924829e+00 1.3712489301435289e+00 1.3229526986098219e+00 1.2805093874741371e+00 1.2431149780131365e+00 1.2101810888147411e+00 1.1811929658892455e+00 1.1557858460947601e+00 1.1336020835488780e+00 1.1143416791158336e+00 1.0977667179026940e+00 1.0836270040968183e+00 1.0716711241922436e+00 1.0617096690766052e+00 1.0535090130138112e+00 1.0468817008020121e+00 1.0416165661681622e+00 1.0375206382190494e+00 1.0343362729279664e+00 1.0318164587873015e+00 1.0297642936849025e+00 1.0279993079742091e+00 1.0263545725355916e+00 1.0251975055363050e+00 1.0240313281713764e+00 1.0228423338320285e+00 1.0215973164208567e+00 1.0203130477359574e+00 1.0189538390542505e+00 1.0175589309739292e+00 1.0160132950329144e+00 1.0143591002205590e+00 1.0125659006832000e+00 1.0106099214737854e+00 1.0084622726362056e+00 1.0060904089973970e+00 1.0034488691395560e+00 1.0005369561546740e+00 9.9725324789988634e-01 9.9357159705190978e-01 9.8943858184677802e-01 9.8479671328832330e-01 9.7958670611579723e-01 9.7374909659838704e-01 9.6721937055644558e-01 9.6000062148593490e-01 9.5197468552363462e-01 9.4316568064693795e-01 9.3359399411052391e-01 9.2333471020280222e-01 9.1251557355636248e-01 9.0137972423710633e-01 8.9029011324766127e-01 8.7983402491656848e-01 8.7076384155229758e-01 8.6424328583852006e-01 8.6189893310129606e-01 8.6609097005934765e-01 8.8025761089715227e-01 9.0960884556040489e-01 9.6239300773847369e-01 1.0524986655129860e+00 5.2411998395083224e-02 +3.2894736842105331e+01 1.1835558261632292e+01 1.1828246759021994e+01 1.1825782998300049e+01 1.1822106872909057e+01 1.1817414543062242e+01 1.1812332787256203e+01 1.1807277088950231e+01 1.1801675782631001e+01 1.1794724793853401e+01 1.1785961499802760e+01 1.1775121101900506e+01 1.1761871552320336e+01 1.1745794427645579e+01 1.1726408027777815e+01 1.1703173221887052e+01 1.1675464683883238e+01 1.1642534252265445e+01 1.1603503730825071e+01 1.1557359649068154e+01 1.1502939711571530e+01 1.1438920246367845e+01 1.1363785110024443e+01 1.1275564645649213e+01 1.1170856140306659e+01 1.1045639161337277e+01 1.0898369626585724e+01 1.0728115861824838e+01 1.0532909812407821e+01 1.0310419001548722e+01 1.0058410122509798e+01 9.7749582717654242e+00 9.4586383888926644e+00 9.1087389662209901e+00 8.7254903973939992e+00 8.3102889186622981e+00 7.8658860524235559e+00 7.3965112556887505e+00 6.9078880879919033e+00 6.4071127329111812e+00 5.9023726462071151e+00 5.3657231052026946e+00 4.8457743312761785e+00 4.3528320108154919e+00 3.8955919260044301e+00 3.4804693247642371e+00 3.1112173359287589e+00 2.7888858563528611e+00 2.5121009396929908e+00 2.2775854892324552e+00 2.0807912617667794e+00 1.9165458867220764e+00 1.7796360087525422e+00 1.6652279514007504e+00 1.5690270927379930e+00 1.4874451226189753e+00 1.4176268804451868e+00 1.3573319307043223e+00 1.3048586855051769e+00 1.2589076001736239e+00 1.2185238310348503e+00 1.1829428661251804e+00 1.1516052649199897e+00 1.1240215481746552e+00 1.0998448725291254e+00 1.0787351055320449e+00 1.0604069182530573e+00 1.0446340177954259e+00 1.0311784026430184e+00 1.0198008867949253e+00 1.0103212680886777e+00 1.0025172606143917e+00 9.9621049280724971e-01 9.9120002639392202e-01 9.8730222679311530e-01 9.8427191157158700e-01 9.8187401787009121e-01 9.7992115928077683e-01 9.7824159101995001e-01 9.7667646017439214e-01 9.7557539711695551e-01 9.7446566531529233e-01 9.7333422120742918e-01 9.7214946577437245e-01 9.7092735894310733e-01 9.6963394034394856e-01 9.6830654645350800e-01 9.6683572313109956e-01 9.6526159542401102e-01 9.6355519113004462e-01 9.6169388606552597e-01 9.5965018861642104e-01 9.5739312887233441e-01 9.5487944680448522e-01 9.5210847454065062e-01 9.4898370557861589e-01 9.4548025538011993e-01 9.4154728793077547e-01 9.3713009684491133e-01 9.3217226642542739e-01 9.2661721114421869e-01 9.2040354039192374e-01 9.1353419343205078e-01 9.0589673216089306e-01 8.9751410449966085e-01 8.8840571092885257e-01 8.7864300149261754e-01 8.6834753768008788e-01 8.5775069098332501e-01 8.4719784551148891e-01 8.3724785540888746e-01 8.2861669158896878e-01 8.2241174713658982e-01 8.2018086785459532e-01 8.2416999988449713e-01 8.3765093960902137e-01 8.6558150083407925e-01 9.1581077849169845e-01 1.0015550935303470e+00 4.9783103314048560e-02 +3.2951365756162623e+01 1.1283362771412351e+01 1.1276263939211846e+01 1.1273914021845989e+01 1.1270407049530583e+01 1.1265929077927421e+01 1.1261077030048540e+01 1.1256246913637016e+01 1.1250894077678115e+01 1.1244251838935599e+01 1.1235878525610371e+01 1.1225521003414237e+01 1.1212862049382165e+01 1.1197501996814946e+01 1.1178980720453740e+01 1.1156783227699171e+01 1.1130312223124854e+01 1.1098853095662220e+01 1.1061567051934041e+01 1.1017486135825422e+01 1.0965500314581854e+01 1.0904345519529674e+01 1.0832573997259557e+01 1.0748305068668840e+01 1.0648289622020213e+01 1.0528688850400941e+01 1.0388029927377895e+01 1.0225425863398094e+01 1.0039000551529448e+01 9.8265308167726371e+00 9.5858894499157241e+00 9.3152452035852846e+00 9.0132457054484174e+00 8.6792215067598377e+00 8.3134039118047305e+00 7.9171383349113382e+00 7.4930644045318733e+00 7.0452319588268519e+00 6.5791150989186953e+00 6.1014946793248210e+00 5.6201882505227028e+00 5.1085645872025403e+00 4.6129784025092624e+00 4.1432453873870854e+00 3.7076382456779915e+00 3.3122496396542740e+00 2.9606315579829445e+00 2.6537594467217129e+00 2.3903013810377050e+00 2.1671162927511323e+00 1.9798571849166884e+00 1.8235876211603284e+00 1.6933365735574541e+00 1.5844980934229753e+00 1.4929820963607938e+00 1.4153726026601579e+00 1.3489525051157425e+00 1.2915902985621690e+00 1.2416674941182440e+00 1.1979482164266080e+00 1.1595245228053384e+00 1.1256694760713624e+00 1.0958511596771465e+00 1.0696041337624507e+00 1.0465985983594512e+00 1.0265110806834974e+00 1.0090702078411600e+00 9.9406074376254461e-01 9.8125628958402389e-01 9.7042929486581142e-01 9.6140831893027878e-01 9.5398186784646333e-01 9.4798021562075452e-01 9.4321215894729182e-01 9.3950295004265894e-01 9.3661926825637964e-01 9.3433742418564203e-01 9.3247908952090741e-01 9.3088082459452315e-01 9.2939146384250881e-01 9.2834370693314605e-01 9.2728770159070029e-01 9.2621103538161653e-01 9.2508363895768575e-01 9.2392069948732869e-01 9.2268990164867093e-01 9.2142676977232230e-01 9.2002715516065259e-01 9.1852923753130933e-01 9.1690544734518364e-01 9.1513425574458473e-01 9.1318950209778338e-01 9.1104171587356353e-01 9.0864973233592639e-01 9.0601291149434471e-01 9.0303942534734694e-01 8.9970559145680351e-01 8.9596303499372043e-01 8.9175969814296951e-01 8.8704189653268728e-01 8.8175578418615908e-01 8.7584294354799896e-01 8.6930616731464916e-01 8.6203846698664832e-01 8.5406167693123880e-01 8.4539425839496030e-01 8.3610420224179061e-01 8.2630718467676523e-01 8.1622337553613433e-01 8.0618143823266020e-01 7.9671316649727641e-01 7.8849987357130202e-01 7.8259533660580693e-01 7.8047246443612084e-01 7.8426846595855770e-01 7.9709673649243951e-01 8.2367506162579585e-01 8.7147252978142875e-01 9.5306559887113074e-01 4.7285648644335800e-02 +3.3007994670219915e+01 1.0756764938360716e+01 1.0749872065666789e+01 1.0747630849497583e+01 1.0744285254944289e+01 1.0740011933192674e+01 1.0735379281768983e+01 1.0730764777248002e+01 1.0725649499174796e+01 1.0719302431429151e+01 1.0711301910446011e+01 1.0701405959914149e+01 1.0689311523989691e+01 1.0674636860379177e+01 1.0656942461104919e+01 1.0635736401024680e+01 1.0610448170094354e+01 1.0580395216972537e+01 1.0544776399357078e+01 1.0502667250030266e+01 1.0453007670208372e+01 1.0394590535013657e+01 1.0326033423916044e+01 1.0245540652101473e+01 1.0150009837331826e+01 1.0035775667533217e+01 9.9014333143330866e+00 9.7461383537579795e+00 9.5681023707780337e+00 9.3652064180387704e+00 9.1354243933726877e+00 8.8770142016385734e+00 8.5886925161852687e+00 8.2698295975410030e+00 7.9206570823537783e+00 7.5424712497006174e+00 7.1378042384497906e+00 6.7105337386304971e+00 6.2658950897649239e+00 5.8103676360576229e+00 5.3514155290036243e+00 4.8636597126067018e+00 4.3913031486905716e+00 3.9436945972016502e+00 3.5287040617830008e+00 3.1521176551513719e+00 2.8172968008979460e+00 2.5251472017968060e+00 2.2743781230844142e+00 2.0619790959782769e+00 1.8837956323610963e+00 1.7351166075119064e+00 1.6112021728902497e+00 1.5076634722382201e+00 1.4206052912592686e+00 1.3467757609096442e+00 1.2835891939753392e+00 1.2290177501234882e+00 1.1815220033322265e+00 1.1399266442330738e+00 1.1033683387817432e+00 1.0711558865778252e+00 1.0427835471685201e+00 1.0178087447875479e+00 9.9591788913174073e-01 9.7680335472901114e-01 9.6020704515119615e-01 9.4592424333824421e-01 9.3373959000060447e-01 9.2343660682226825e-01 9.1485219059572542e-01 9.0778511785329374e-01 9.0207389112223668e-01 8.9753657267644149e-01 8.9400687354212249e-01 8.9126276376211111e-01 8.8909137973752950e-01 8.8732301554363480e-01 8.8580213696697596e-01 8.8438489556350519e-01 8.8338787629312243e-01 8.8238300861505359e-01 8.8135848083349255e-01 8.8028567957119208e-01 8.7917905647881400e-01 8.7800786196874669e-01 8.7680589577970236e-01 8.7547405868533501e-01 8.7404867895156990e-01 8.7250352211344318e-01 8.7081810186419295e-01 8.6896752441763847e-01 8.6692374637672698e-01 8.6464759728809859e-01 8.6213846393296434e-01 8.5930897105171222e-01 8.5613658052395269e-01 8.5257526011194862e-01 8.4857547294973423e-01 8.4408613438183089e-01 8.3905600597834240e-01 8.3342949993420412e-01 8.2720926966270714e-01 8.2029351336721712e-01 8.1270300565303200e-01 8.0445531378383262e-01 7.9561513612673052e-01 7.8629254718297015e-01 7.7669705488591589e-01 7.6714140759572458e-01 7.5813164274326672e-01 7.5031608559114971e-01 7.4469748096697119e-01 7.4267741153709665e-01 7.4628958854438887e-01 7.5849663878209173e-01 7.8378788536851429e-01 8.2927072078039243e-01 9.0691257199038011e-01 4.4913085118938219e-02 +3.3064623584277207e+01 1.0254586521519562e+01 1.0247893262958774e+01 1.0245755586967478e+01 1.0242564112444413e+01 1.0238486174816922e+01 1.0234063050364934e+01 1.0229654623989363e+01 1.0224766465527358e+01 1.0218701580456372e+01 1.0211057413234167e+01 1.0201602660038461e+01 1.0190047804196141e+01 1.0176028231680499e+01 1.0159124136376304e+01 1.0138865636877911e+01 1.0114707817973516e+01 1.0085998762904433e+01 1.0051973305797901e+01 1.0011748532058908e+01 9.9643120508971901e+00 9.9085111392363761e+00 9.8430257875345077e+00 9.7661414983684658e+00 9.6748960516784805e+00 9.5657898596128579e+00 9.4374829816791248e+00 9.2891715396711199e+00 9.1191507496503306e+00 8.9254010508804029e+00 8.7059926900216436e+00 8.4592684342403857e+00 8.1840105395865717e+00 7.8796267522020580e+00 7.5463485138103801e+00 7.1854246082468443e+00 6.7992839232630642e+00 6.3916391686056828e+00 5.9674971690519723e+00 5.5330489812436490e+00 5.0954211377591010e+00 4.6304282662607434e+00 4.1802206066412424e+00 3.7537019786152550e+00 3.3583590928984126e+00 2.9996867609873856e+00 2.6808658702543160e+00 2.4027368095560107e+00 2.1640491849615380e+00 1.9619179026307507e+00 1.7923726163776272e+00 1.6509173615807857e+00 1.5330328278580430e+00 1.4345371078334928e+00 1.3517206429201647e+00 1.2814878440602695e+00 1.2213781271531505e+00 1.1694623040822059e+00 1.1242761703981474e+00 1.0847020297989083e+00 1.0499189759586096e+00 1.0192697967069833e+00 9.9227364547062735e-01 9.6850969246763574e-01 9.4767976391312980e-01 9.2949130871800423e-01 9.1369886027655001e-01 9.0010770875136936e-01 8.8851299854094268e-01 8.7870878716635348e-01 8.7053990529255010e-01 8.6381490347016077e-01 8.5838011571692741e-01 8.5406242300801349e-01 8.5070358769943011e-01 8.4809232678551250e-01 8.4602608105360055e-01 8.4434335209584144e-01 8.4289613062175617e-01 8.4154753281494910e-01 8.4059880580181745e-01 8.3964261109491400e-01 8.3866770879979013e-01 8.3764687134462446e-01 8.3659385031626754e-01 8.3547938635385699e-01 8.3433563794860410e-01 8.3306831166237771e-01 8.3171197367741623e-01 8.3024166025685164e-01 8.2863787739454398e-01 8.2687693709492738e-01 8.2493215430674161e-01 8.2276625669855497e-01 8.2037865675246879e-01 8.1768621703224542e-01 8.1466748871152084e-01 8.1127866924063119e-01 8.0747262119531649e-01 8.0320073433870476e-01 7.9841425210769523e-01 7.9306028001947138e-01 7.8714133912801620e-01 7.8056056405565266e-01 7.7333772084841912e-01 7.6548952587573360e-01 7.5707754369773816e-01 7.4820651709698816e-01 7.3907580598264278e-01 7.2998301069039906e-01 7.2140965393417522e-01 7.1397266266637116e-01 7.0862620914247587e-01 7.0670398756966646e-01 7.1014119994506275e-01 7.2175697119463655e-01 7.4582317327640157e-01 7.8910293552274724e-01 8.6298400803267072e-01 4.2659188592972672e-02 +3.3121252498334499e+01 9.7757031105589629e+00 9.7692032327798088e+00 9.7671645180756492e+00 9.7641199873973541e+00 9.7602285812236325e+00 9.7560055836228408e+00 9.7517941109620914e+00 9.7471230872587959e+00 9.7413279616403869e+00 9.7340244270818665e+00 9.7249913865343203e+00 9.7139522629302508e+00 9.7005588090940993e+00 9.6844100456070343e+00 9.6650571560614562e+00 9.6419796819137389e+00 9.6145549785629623e+00 9.5820522556295433e+00 9.5436283002381597e+00 9.4983163018540129e+00 9.4450155095127695e+00 9.3824655321825610e+00 9.3090294217539338e+00 9.2218788440411199e+00 9.1176725094340156e+00 8.9951323958628659e+00 8.8534932458585196e+00 8.6911300318540423e+00 8.5061179613040743e+00 8.2966190930581050e+00 8.0610569705500676e+00 7.7982761403538392e+00 7.5077197300051441e+00 7.1896185065647318e+00 6.8451753527136479e+00 6.4767199835087474e+00 6.0878070052657431e+00 5.6832245433748678e+00 5.2688880189777487e+00 4.8516014309656237e+00 4.4083173167358289e+00 3.9792277092279513e+00 3.5728124543921385e+00 3.1961934520942128e+00 2.8545887114542352e+00 2.5510080939398203e+00 2.2862308413911467e+00 2.0590460373148352e+00 1.8666889359882541e+00 1.7053653215670903e+00 1.5707846884516068e+00 1.4586381072797763e+00 1.3649409453245398e+00 1.2861605173399915e+00 1.2193500543989511e+00 1.1621680601689277e+00 1.1127792269760168e+00 1.0697909161714041e+00 1.0321402347576811e+00 9.9904662926424359e-01 9.6988521230411906e-01 9.4419881146704665e-01 9.2158727925561590e-01 9.0176710387471026e-01 8.8446007320263387e-01 8.6943273515706632e-01 8.5649990012174926e-01 8.4546670617709685e-01 8.3613723624364400e-01 8.2836387069833950e-01 8.2196446154593261e-01 8.1679279631530377e-01 8.1268414925405330e-01 8.0948794608950625e-01 8.0700313307558325e-01 8.0503695895286853e-01 8.0343573781576350e-01 8.0205862298934483e-01 8.0077535968240976e-01 7.9987259680024025e-01 7.9896272855386519e-01 7.9803505930201402e-01 7.9706368047637433e-01 7.9606167735357980e-01 7.9500120891286519e-01 7.9391287173719960e-01 7.9270694619194026e-01 7.9141632145354512e-01 7.9001724325105360e-01 7.8849116204115377e-01 7.8681553748581856e-01 7.8496497739639304e-01 7.8290401601230242e-01 7.8063209048526894e-01 7.7807009660553383e-01 7.7519762245222656e-01 7.7197298766818967e-01 7.6835133859644167e-01 7.6428642012424131e-01 7.5973183790577503e-01 7.5463726089277927e-01 7.4900508436136082e-01 7.4274314108764428e-01 7.3587023729957612e-01 7.2840227949337344e-01 7.2039784950094443e-01 7.1195661543058264e-01 7.0326827840076633e-01 6.9461602097176611e-01 6.8645803318169285e-01 6.7938135712879943e-01 6.7429393429065942e-01 6.7246484328631539e-01 6.7573552607272735e-01 6.8678852391921219e-01 7.0968874093406298e-01 7.5087164018233143e-01 8.2117324138048131e-01 4.0518043968463688e-02 +3.3177881412391791e+01 9.3190419336805999e+00 9.3127293068773156e+00 9.3107848489078560e+00 9.3078805858573741e+00 9.3041672482245374e+00 9.3001354268645819e+00 9.2961121759476590e+00 9.2916487361299982e+00 9.2861114873284443e+00 9.2791335507634649e+00 9.2705035894505663e+00 9.2599573933857418e+00 9.2471623539242245e+00 9.2317354817889719e+00 9.2132480898561173e+00 9.1912030881523670e+00 9.1650058018284035e+00 9.1339582855705572e+00 9.0972552589559825e+00 9.0539734578816375e+00 9.0030617813031437e+00 8.9433167878960678e+00 8.8731756021878176e+00 8.7899377778964354e+00 8.6904132270963643e+00 8.5733830111997538e+00 8.4381186587615673e+00 8.2830712015872958e+00 8.1064062093720324e+00 7.9063732278040444e+00 7.6814726849806867e+00 7.4306082882782887e+00 7.1532565556104526e+00 6.8496471440574833e+00 6.5209385839807119e+00 6.1693653418035357e+00 5.7983305177228246e+00 5.4124129393957547e+00 5.0172644979544874e+00 4.6193810791171837e+00 4.1967999431361003e+00 3.7878451201603487e+00 3.4005924716648250e+00 3.0418166871660328e+00 2.7164727590972220e+00 2.4274085411815323e+00 2.1753460475134938e+00 1.9591129647699785e+00 1.7760600593327811e+00 1.6225615747494249e+00 1.4945231942292474e+00 1.3878366746555395e+00 1.2987054315542341e+00 1.2237652826092271e+00 1.1602111725823148e+00 1.1058149648209605e+00 1.0588306896612327e+00 1.0179337951037015e+00 9.8211351796464941e-01 9.5062768367912376e-01 9.2288214719995187e-01 8.9844225001987077e-01 8.7692751500438160e-01 8.5806837457036844e-01 8.4160025585351961e-01 8.2730113583039844e-01 8.1499488168190093e-01 8.0449613981237278e-01 7.9561853271223870e-01 7.8822162481621494e-01 7.8213211975360375e-01 7.7721089873718940e-01 7.7330122427081549e-01 7.7025981609523286e-01 7.6789535683904375e-01 7.6602443055474534e-01 7.6450078773565922e-01 7.6319039936679200e-01 7.6196932017256402e-01 7.6111030496065957e-01 7.6024452921377528e-01 7.5936181531390134e-01 7.5843751010075555e-01 7.5748406467287333e-01 7.5647498791532353e-01 7.5543939002303939e-01 7.5429190432535431e-01 7.5306382398086003e-01 7.5173254586290850e-01 7.5028041934597045e-01 7.4868599640737499e-01 7.4692511537621142e-01 7.4496402990504162e-01 7.4280220082365933e-01 7.4036436238169845e-01 7.3763108967920898e-01 7.3456272221369512e-01 7.3111657996684076e-01 7.2724864937962597e-01 7.2291478441188850e-01 7.1806709379556810e-01 7.1270785328462483e-01 7.0674936698386526e-01 7.0020952770300304e-01 6.9310347111777149e-01 6.8548694016451206e-01 6.7745477299077683e-01 6.6918747769413711e-01 6.6095451428501162e-01 6.5319186545851393e-01 6.4645812933586821e-01 6.4161724608622406e-01 6.3987679462661418e-01 6.4298897828317059e-01 6.5350634105282568e-01 6.7529679967291156e-01 7.1448395176417845e-01 7.8137869269217197e-01 3.8484029910482886e-02 +3.3234510326449083e+01 8.8835786511232318e+00 8.8774475252229408e+00 8.8755931239239807e+00 8.8728226736083737e+00 8.8692793044412621e+00 8.8654300803512989e+00 8.8615867139262345e+00 8.8573217230885675e+00 8.8520309855920214e+00 8.8453642691455698e+00 8.8371195682355275e+00 8.8270444929958121e+00 8.8148213769220085e+00 8.8000844210438700e+00 8.7824241730082324e+00 8.7613658712885307e+00 8.7363415656957937e+00 8.7066846930314128e+00 8.6716262141067926e+00 8.6302844673172974e+00 8.5816557820137973e+00 8.5245911161280414e+00 8.4575983444701865e+00 8.3780991767626976e+00 8.2830479451917789e+00 8.1712820882451034e+00 8.0421081718933571e+00 7.8940497600014030e+00 7.7253585812766365e+00 7.5343675445915617e+00 7.3196502562828600e+00 7.0801666094376445e+00 6.8154246286873477e+00 6.5256524670766343e+00 6.2119658070879744e+00 5.8765076417172839e+00 5.5225358937743403e+00 5.1544290982054717e+00 4.7775871982078355e+00 4.3982117510166550e+00 3.9953740207989572e+00 3.6056161228420476e+00 3.2366289912605684e+00 2.8948568656532920e+00 2.5850048289774348e+00 2.3097672782566572e+00 2.0698126854886554e+00 1.8640064584101421e+00 1.6898102236664958e+00 1.5437593398414424e+00 1.4219468207974155e+00 1.3204558564877567e+00 1.2356691116348042e+00 1.1643829292580996e+00 1.1039271981798324e+00 1.0521816869737837e+00 1.0074854399623800e+00 9.6857868078409037e-01 9.3450023226696943e-01 9.0454442085613285e-01 8.7814633846864487e-01 8.5489273682132105e-01 8.3442184648888618e-01 8.1647736129445836e-01 8.0080768190052132e-01 7.8720165726893043e-01 7.7549177040744433e-01 7.6550171414370738e-01 7.5705418813181324e-01 7.5001559283758323e-01 7.4422105532670124e-01 7.3953820795187086e-01 7.3581791590348367e-01 7.3292384128485177e-01 7.3067393384391233e-01 7.2889366295809532e-01 7.2744385743199969e-01 7.2619697747856948e-01 7.2503508314658327e-01 7.2421770548349229e-01 7.2339389545504895e-01 7.2255396849568632e-01 7.2167446630531373e-01 7.2076723639798790e-01 7.1980707241493491e-01 7.1882167004849240e-01 7.1772980536160635e-01 7.1656125259466352e-01 7.1529450423795460e-01 7.1391276522660885e-01 7.1239562716465377e-01 7.1072009954485094e-01 7.0885407245996168e-01 7.0679702946538270e-01 7.0447735785833809e-01 7.0187657226329370e-01 6.9895693460703412e-01 6.9567783366225577e-01 6.9199738930459020e-01 6.8787359535119841e-01 6.8326088259606244e-01 6.7816141321388745e-01 6.7249174671324297e-01 6.6626890665075567e-01 6.5950729506129890e-01 6.5225995291953420e-01 6.4461712138167249e-01 6.3675055895096666e-01 6.2891666495640453e-01 6.2153028608553706e-01 6.1512294824109603e-01 6.1051671277929553e-01 6.0886062531357932e-01 6.1182195501377501e-01 6.2182951898946626e-01 6.4256374824453777e-01 6.7985141768404300e-01 7.4350362784114332e-01 3.6551804315871933e-02 +3.3291139240506375e+01 8.4683362746533337e+00 8.4623811019287061e+00 8.4606124651573023e+00 8.4579698097236964e+00 8.4545886380309447e+00 8.4509137968157937e+00 8.4472423586147976e+00 8.4431670803192116e+00 8.4381119835584055e+00 8.4317427376704543e+00 8.4238662577912287e+00 8.4142414514832549e+00 8.4025649285614286e+00 8.3884873157528350e+00 8.3716175403140305e+00 8.3515021748852831e+00 8.3275988037266160e+00 8.2992708473137053e+00 8.2657838911409023e+00 8.2262960180762548e+00 8.1798488666049245e+00 8.1253453565317848e+00 8.0613609381819753e+00 7.9854339997939672e+00 7.8946568132850796e+00 7.7879206104912422e+00 7.6645653283669253e+00 7.5231836974462585e+00 7.3621095958276825e+00 7.1797553641930882e+00 6.9747642572676689e+00 6.7461495257992192e+00 6.4934489192552940e+00 6.2168887310624115e+00 5.9175432566389112e+00 5.5974676471750868e+00 5.2597807189208590e+00 4.9086693387663622e+00 4.5492925829552311e+00 4.1875708565850154e+00 3.8035610632324874e+00 3.4321055608621447e+00 3.0805285240798863e+00 2.7549597026038848e+00 2.4598667316038787e+00 2.1977986591031273e+00 1.9693738803171095e+00 1.7734946368299500e+00 1.6077289414609008e+00 1.4687662365398249e+00 1.3528784025026521e+00 1.2563312309468688e+00 1.1756782445081149e+00 1.1078687084949614e+00 1.0503610071437259e+00 1.0011376204713596e+00 9.5861849073478966e-01 9.2160546626691386e-01 8.8918453555064159e-01 8.6068473954539204e-01 8.3556897509145123e-01 8.1344435429262085e-01 7.9396689966027711e-01 7.7689291689166629e-01 7.6198314678658208e-01 7.4903678024049902e-01 7.3789449648482908e-01 7.2838859520122334e-01 7.2035041310623749e-01 7.1365285544429291e-01 7.0813906514343794e-01 7.0368309960753150e-01 7.0014305965813595e-01 6.9738921497815998e-01 6.9524833567524380e-01 6.9355434804901206e-01 6.9217481827563265e-01 6.9098838310702626e-01 6.8988281831567244e-01 6.8910506934469584e-01 6.8832120032033495e-01 6.8752199595490582e-01 6.8668513516606544e-01 6.8582189100914437e-01 6.8490827985951641e-01 6.8397065133429347e-01 6.8293172410186620e-01 6.8181982687641207e-01 6.8061449490492221e-01 6.7929974740496368e-01 6.7785616544857907e-01 6.7626187318714415e-01 6.7448631816475679e-01 6.7252900574203256e-01 6.7032179976678308e-01 6.6784710916646128e-01 6.6506902554366043e-01 6.6194890665037609e-01 6.5844690286211438e-01 6.5452304461329047e-01 6.5013397268919693e-01 6.4528174133932292e-01 6.3988695992228639e-01 6.3396582478325347e-01 6.2753203971104021e-01 6.2063607408042543e-01 6.1336379384855599e-01 6.0587863006365494e-01 5.9842455148650697e-01 5.9139628870478833e-01 5.8529960134250325e-01 5.8091669257201772e-01 5.7934089874020034e-01 5.8215865275756540e-01 5.9168101430237197e-01 6.1140997429019917e-01 6.4688980572344723e-01 7.0745592820876702e-01 3.4716290497666870e-02 +3.3347768154563667e+01 8.0723823140220894e+00 8.0665976442637373e+00 8.0649109162245960e+00 8.0623901257143196e+00 8.0591637922950987e+00 8.0556554837106180e+00 8.0521483639324298e+00 8.0482544427889042e+00 8.0434245901092343e+00 8.0373396662644474e+00 8.0298151138718818e+00 8.0206206380884240e+00 8.0094664885901672e+00 7.9960189867870612e+00 7.9799046220765257e+00 7.9606903508633646e+00 7.9378581541003319e+00 7.9108000991856331e+00 7.8788148511488707e+00 7.8410984614722317e+00 7.7967358504777664e+00 7.7446795705719573e+00 7.6835696139383938e+00 7.6110558130414034e+00 7.5243621871068491e+00 7.4224312948494537e+00 7.3046348560764987e+00 7.1696315572118552e+00 7.0158336008577118e+00 6.8417290115765415e+00 6.6460273308755449e+00 6.4277924790978362e+00 6.1865902450172108e+00 5.9226447427183997e+00 5.6369902985181435e+00 5.3315977150203624e+00 5.0094525249739741e+00 4.6745581873193665e+00 4.3318435124135046e+00 3.9869603477097675e+00 3.6209051176722453e+00 3.2668988276657105e+00 2.9319162124003841e+00 2.6217877290994736e+00 2.3407554127189347e+00 2.0912306492553268e+00 1.8737850146222044e+00 1.6873566944779919e+00 1.5296157852014598e+00 1.3973990817038351e+00 1.2871492437526086e+00 1.1953062359548488e+00 1.1185864366394107e+00 1.0540847875016501e+00 9.9938202543249199e-01 9.5255839641330942e-01 9.1211082262413923e-01 8.7689977852848766e-01 8.4605611540071557e-01 8.1894188918538813e-01 7.9504643940190445e-01 7.7399623992217448e-01 7.5546423403605512e-01 7.3921872144360279e-01 7.2503218046865814e-01 7.1271363960894418e-01 7.0211157505488897e-01 6.9306647502579533e-01 6.8541789443762946e-01 6.7904492803112604e-01 6.7379834664594385e-01 6.6955832231811130e-01 6.6618984207901311e-01 6.6356946446904830e-01 6.6153235462290161e-01 6.5992048790737168e-01 6.5860784326889554e-01 6.5747893629789256e-01 6.5642698278435252e-01 6.5568695008234956e-01 6.5494109454178273e-01 6.5418064752166261e-01 6.5338437028262331e-01 6.5256298914462552e-01 6.5169368417739071e-01 6.5080152405471137e-01 6.4981297954386985e-01 6.4875500369490946e-01 6.4760812418937763e-01 6.4635713522979110e-01 6.4498355960640874e-01 6.4346658233556286e-01 6.4177713321668584e-01 6.3991473853255210e-01 6.3781457067092984e-01 6.3545988980256796e-01 6.3281652890738338e-01 6.2984771969369868e-01 6.2651554504828944e-01 6.2278197373395350e-01 6.1860574984341565e-01 6.1398882506888386e-01 6.0885566294842941e-01 6.0322167263382620e-01 5.9709989336347347e-01 5.9053834701636942e-01 5.8361873549312748e-01 5.7649656426734830e-01 5.6940397139218091e-01 5.6271654229816170e-01 5.5691551358852454e-01 5.5274515387889167e-01 5.5124577871901603e-01 5.5392688593411943e-01 5.6298746067332517e-01 5.8175966517045574e-01 6.1551890387637420e-01 6.7314787178824731e-01 3.2972664050139745e-02 +3.3404397068620959e+01 7.6948269832506488e+00 7.6892075149918293e+00 7.6875989242371663e+00 7.6851944470638731e+00 7.6821159334446358e+00 7.6787666664983991e+00 7.6754165802499816e+00 7.6716960249700117e+00 7.6670814737094046e+00 7.6612682983519216e+00 7.6540800934803865e+00 7.6452968837344599e+00 7.6346419503036351e+00 7.6217966104070172e+00 7.6064041341725437e+00 7.5880509532664746e+00 7.5662423578079219e+00 7.5403977843423098e+00 7.5098475005931160e+00 7.4738238293528312e+00 7.4314530353058501e+00 7.3817350776139063e+00 7.3233715915003659e+00 7.2541188519686930e+00 7.1713267083981656e+00 7.0739866918327285e+00 6.9615007915601135e+00 6.8325905866621559e+00 6.6857429556659529e+00 6.5195180341296570e+00 6.3326884490175628e+00 6.1243662352887629e+00 5.8941436269639649e+00 5.6422422722997627e+00 5.3696579044904968e+00 5.0782803373661531e+00 4.7709674052619180e+00 4.4515470697433805e+00 4.1247280169033829e+00 3.7959055744869294e+00 3.4469717118166758e+00 3.1096009032218497e+00 2.7904349540014843e+00 2.4950194996576922e+00 2.2273822382699717e+00 1.9898041815247667e+00 1.7828131475327305e+00 1.6053823759677646e+00 1.4552799095855660e+00 1.3294834523703287e+00 1.2245987165378389e+00 1.1372317957278275e+00 1.0642542929795709e+00 1.0028999209813012e+00 9.5086591801932752e-01 9.0632558707971889e-01 8.6784910083727940e-01 8.3435270638024883e-01 8.0500992672520588e-01 7.7921421605088470e-01 7.5648006070745133e-01 7.3645234645687108e-01 7.1882010866106238e-01 7.0336305327535764e-01 6.8986482282561112e-01 6.7814380355743586e-01 6.6805588871026933e-01 6.5944935696338824e-01 6.5217158277851084e-01 6.4610755032151723e-01 6.4111528907424531e-01 6.3708079020992092e-01 6.3387559433589602e-01 6.3138224542120547e-01 6.2944389870284212e-01 6.2791019032901141e-01 6.2666120297247485e-01 6.2558704763659867e-01 6.2458611765441185e-01 6.2388198062626932e-01 6.2317230360458931e-01 6.2244874304749387e-01 6.2169109031908842e-01 6.2090955139902315e-01 6.2008241384432594e-01 6.1923352738231396e-01 6.1829293353297932e-01 6.1728627618422338e-01 6.1619502754650302e-01 6.1500471939717272e-01 6.1369777078524201e-01 6.1225437638475999e-01 6.1064687666539308e-01 6.0887481798386500e-01 6.0687652133401837e-01 6.0463605713490953e-01 6.0212091568532844e-01 5.9929611219132473e-01 5.9612556876298217e-01 5.9257309892570564e-01 5.8859944851788393e-01 5.8420647177886376e-01 5.7932230016249620e-01 5.7396159371639610e-01 5.6813675920954165e-01 5.6189348916619264e-01 5.5530952243846987e-01 5.4853282150544280e-01 5.4178426477211150e-01 5.3542121682312427e-01 5.2990157481326194e-01 5.2593350405227168e-01 5.2450685867169244e-01 5.2705791525714552e-01 5.3567899444503597e-01 5.5354062769969303e-01 5.8566232962706199e-01 6.4049592460670191e-01 3.1316340361084521e-02 +3.3461025982678251e+01 7.3348211821069471e+00 7.3293619495543769e+00 7.3278278628181628e+00 7.3255343526453691e+00 7.3225969288030219e+00 7.3193995444137920e+00 7.3161995213159168e+00 7.3126446886865333e+00 7.3082359310243659e+00 7.3026824806108914e+00 7.2958157260247800e+00 7.2874255538691699e+00 7.2772476954452268e+00 7.2649777956427455e+00 7.2502751583669154e+00 7.2327448221957527e+00 7.2119143468505476e+00 7.1872293166784935e+00 7.1580501905508553e+00 7.1236439404364722e+00 7.0831763237435394e+00 7.0356925794325429e+00 6.9799532158976936e+00 6.9138161712949788e+00 6.8347514712008408e+00 6.7417973714193469e+00 6.6343846885035385e+00 6.5112949718712860e+00 6.3710862956731518e+00 6.2123875004739260e+00 6.0340312501422337e+00 5.8351752659663028e+00 5.6154367196806287e+00 5.3750345381979105e+00 5.1149271964320926e+00 4.8369267505990621e+00 4.5437686932177721e+00 4.2391130639961139e+00 3.9274581264908024e+00 3.6139541943102427e+00 3.2813468493754008e+00 2.9598354354428387e+00 2.6557445671273228e+00 2.3743488366852374e+00 2.1194723128935515e+00 1.8932725419619620e+00 1.6962364609107323e+00 1.5273714751727805e+00 1.3845395962498708e+00 1.2648532693874039e+00 1.1650738769563374e+00 1.0819659649757696e+00 1.0125490844091749e+00 9.5418913820264184e-01 9.0469429256194411e-01 8.6232642381363178e-01 8.2572540526174487e-01 7.9386054119685034e-01 7.6594594175736808e-01 7.4140492135905611e-01 7.1977588052367936e-01 7.0072121339588966e-01 6.8394525909479220e-01 6.6923857075442184e-01 6.5639540964551979e-01 6.4524306320796010e-01 6.3564448024303410e-01 6.2745535107078276e-01 6.2053049029278606e-01 6.1476048590171239e-01 6.1001027454338186e-01 6.0617138524071801e-01 6.0312159553075617e-01 6.0074914594843820e-01 5.9890479633868832e-01 5.9744547398134273e-01 5.9625707104807912e-01 5.9523502412268969e-01 5.9428265420919923e-01 5.9361267970240894e-01 5.9293743436975688e-01 5.9224897925488551e-01 5.9152808609276009e-01 5.9078446564989306e-01 5.8999745946733262e-01 5.8918975733577794e-01 5.8829479890193437e-01 5.8733698219551900e-01 5.8629867835128679e-01 5.8516612110797106e-01 5.8392258249972429e-01 5.8254921810574090e-01 5.8101971092577931e-01 5.7933362657002252e-01 5.7743228240097966e-01 5.7530052005605392e-01 5.7290740712930044e-01 5.7021965620925052e-01 5.6720293982661940e-01 5.6382282719551646e-01 5.6004196921797789e-01 5.5586212753113917e-01 5.5121492419888385e-01 5.4611430642260361e-01 5.4057207903578353e-01 5.3463171768138007e-01 5.2836718951234607e-01 5.2191927821773965e-01 5.1549814618821310e-01 5.0944381707081132e-01 5.0419197530422866e-01 5.0041642618388338e-01 4.9905899887257360e-01 5.0148628417981711e-01 5.0968908839878269e-01 5.2668411638015966e-01 5.5724734821287414e-01 6.0942054197249917e-01 2.9742962739601982e-02 +3.3517654896735543e+01 6.9915548403310552e+00 6.9862508095624642e+00 6.9847878865617954e+00 6.9826002235084088e+00 6.9797974763356310e+00 6.9767451438757639e+00 6.9736885182358099e+00 6.9702920979260208e+00 6.9660800423847116e+00 6.9607748195531869e+00 6.9542152711499297e+00 6.9462007079232757e+00 6.9364787556281291e+00 6.9247587481182657e+00 6.9107153090520486e+00 6.8939712539345281e+00 6.8740754184460968e+00 6.8504983673273445e+00 6.8226294015268287e+00 6.7897685918479844e+00 6.7511194189659225e+00 6.7057703691729236e+00 6.6525381774046100e+00 6.5893778781942949e+00 6.5138742709307165e+00 6.4251101907284092e+00 6.3225439071627969e+00 6.2050141520617004e+00 6.0711468755203875e+00 5.9196363763510398e+00 5.7493724523269210e+00 5.5595562032206240e+00 5.3498283130538313e+00 5.1204047605724030e+00 4.8722080569561683e+00 4.6069756080312656e+00 4.3273257016117297e+00 4.0367577099256522e+00 3.7395687545651954e+00 3.4406751313933270e+00 3.1236360522054314e+00 2.8172438643760511e+00 2.5275209944248824e+00 2.2594841102984087e+00 2.0167638303711648e+00 1.8014007846705216e+00 1.6138437316616299e+00 1.4531333579386643e+00 1.3172218199811205e+00 1.2033504007156384e+00 1.1084290998403838e+00 1.0293735898813374e+00 9.6334443087120480e-01 9.0783344481776562e-01 8.6075441706666311e-01 8.2045352821829409e-01 7.8563697331665805e-01 7.5532452988075449e-01 7.2876891183673465e-01 7.0542183078319776e-01 6.8484442887391972e-01 6.6671574925430033e-01 6.5075468491915844e-01 6.3676210437236924e-01 6.2454236870595248e-01 6.1393123216470713e-01 6.0479835516286773e-01 5.9700647917343586e-01 5.9041749785128694e-01 5.8492733120242990e-01 5.8040748849511770e-01 5.7675476884185128e-01 5.7385288528460043e-01 5.7159549993457770e-01 5.6984061025182742e-01 5.6845208274556014e-01 5.6732133896845072e-01 5.6634888420083396e-01 5.6544272923900929e-01 5.6480526736862668e-01 5.6416279081895671e-01 5.6350774569211737e-01 5.6282183675214359e-01 5.6211430347129798e-01 5.6136549044189488e-01 5.6059698368543054e-01 5.5974545665451581e-01 5.5883412178070480e-01 5.5784620570588217e-01 5.5676861022903001e-01 5.5558541917415705e-01 5.5427870261802248e-01 5.5282342122128669e-01 5.5121915906331487e-01 5.4941008496080512e-01 5.4738177460793269e-01 5.4510479671757361e-01 5.4254747928476221e-01 5.3967716072023131e-01 5.3646108113555901e-01 5.3286370445903586e-01 5.2888670433648188e-01 5.2446502466573286e-01 5.1961193431076658e-01 5.1433866524215655e-01 5.0868658328500527e-01 5.0272606605217640e-01 4.9659106515039242e-01 4.9048154447117981e-01 4.8472102435011150e-01 4.7972404912156369e-01 4.7613172359656819e-01 4.7484017136412821e-01 4.7714966305754269e-01 4.8495439336296947e-01 5.0112466972993408e-01 5.3020469945937276e-01 5.7984597909682178e-01 2.8248391129187901e-02 +3.3574283810792835e+01 6.6642547543692423e+00 6.6591013256179830e+00 6.6577062239734319e+00 6.6556195543219996e+00 6.6529453723414322e+00 6.6500315585911549e+00 6.6471119566829069e+00 6.6438669567662885e+00 6.6398429101256511e+00 6.6347749209446132e+00 6.6285089594500972e+00 6.6208533415554669e+00 6.6115670564879139e+00 6.6003725164713387e+00 6.5869589824037513e+00 6.5709662534121929e+00 6.5519634913764628e+00 6.5294451256650756e+00 6.5028280099023927e+00 6.4714438321361216e+00 6.4345321053103053e+00 6.3912226209482705e+00 6.3403858118079333e+00 6.2800694451447736e+00 6.2079679323592574e+00 6.1232066399381129e+00 6.0252699809876864e+00 5.9130512101888639e+00 5.7852409871732995e+00 5.6405959740443539e+00 5.4780603382354514e+00 5.2968763647264288e+00 5.0967069021564813e+00 4.8777647808981746e+00 4.6409378035554933e+00 4.3878917132732838e+00 4.1211325196067410e+00 3.8440058738142002e+00 3.5606166329086566e+00 3.2756575844285489e+00 2.9734634469017318e+00 2.6814845871321711e+00 2.4054555440348384e+00 2.1501475518605395e+00 1.9190074545552847e+00 1.7139651741604947e+00 1.5354338288970082e+00 1.3824865073065602e+00 1.2531618354090290e+00 1.1448242834461566e+00 1.0545257306366496e+00 9.7932598509742841e-01 9.1651999947335250e-01 8.6371953875107199e-01 8.1893895086730983e-01 7.8060465603069062e-01 7.4748595493484293e-01 7.1865063947737928e-01 6.9338814042972341e-01 6.7117717483351536e-01 6.5160051114539275e-01 6.3435302409914229e-01 6.1916744725669004e-01 6.0585445863800136e-01 5.9422802546777620e-01 5.8413195550837749e-01 5.7544229352685272e-01 5.6802848911184989e-01 5.6175917132589215e-01 5.5653533349552264e-01 5.5223473909170517e-01 5.4875920244099996e-01 5.4599808516186876e-01 5.4385020915478111e-01 5.4218046012878185e-01 5.4085930881540878e-01 5.3978343946996521e-01 5.3885818151011378e-01 5.3799600907677958e-01 5.3738948924390750e-01 5.3677819848590935e-01 5.3615494937214669e-01 5.3550233462849217e-01 5.3482914520133118e-01 5.3411668025372494e-01 5.3338547549595505e-01 5.3257528177647151e-01 5.3170818328131486e-01 5.3076822083527819e-01 5.2974293202445777e-01 5.2861717324519564e-01 5.2737388489523296e-01 5.2598924354742382e-01 5.2446285099445045e-01 5.2274158956717232e-01 5.2081173363824640e-01 5.1864528052255032e-01 5.1621209558411529e-01 5.1348110263830860e-01 5.1042113197416483e-01 5.0699837293830330e-01 5.0321441556459467e-01 4.9900736492922121e-01 4.9438984440663786e-01 4.8937254077684855e-01 4.8399481196924388e-01 4.7832361945925528e-01 4.7248641281733900e-01 4.6667345008263039e-01 4.6119254564586104e-01 4.5643812480813156e-01 4.5302017167166225e-01 4.5179131218436558e-01 4.5398870065886093e-01 4.6141458729808760e-01 4.7679995433561434e-01 5.0446843277778808e-01 5.5170011064489888e-01 2.6828691377401973e-02 +3.3630912724850127e+01 6.3521834630457867e+00 6.3471759671287780e+00 6.3458455336990038e+00 6.3438552857641977e+00 6.3413037969287087e+00 6.3385222636356016e+00 6.3357335930768999e+00 6.3326333265087786e+00 6.3287889762358525e+00 6.3239477084861928e+00 6.3179623123315469e+00 6.3106497080366770e+00 6.3017797408634797e+00 6.2910873177205069e+00 6.2782756843477809e+00 6.2630008653012563e+00 6.2448514408739655e+00 6.2233446386078706e+00 6.1979236325480329e+00 6.1679503120242503e+00 6.1326986063830882e+00 6.0913377566509501e+00 6.0427894772872790e+00 5.9851900989409668e+00 5.9163387130889680e+00 5.8354012628760925e+00 5.7418870571435026e+00 5.6347413363854280e+00 5.5127164496090337e+00 5.3746284721251643e+00 5.2194733088918648e+00 5.0465323458441009e+00 4.8554893222033302e+00 4.6465537444817100e+00 4.4205799232666534e+00 4.1791648116558990e+00 3.9247068650396799e+00 3.6604046651906419e+00 3.3901792959366825e+00 3.1185100801458199e+00 2.8304708937580574e+00 2.5522321616905788e+00 2.2892541661317987e+00 2.0460745996414573e+00 1.8259657293774005e+00 1.6307526539182007e+00 1.4608152347954066e+00 1.3152580901887942e+00 1.1922027832094009e+00 1.0891315636892624e+00 1.0032317537479438e+00 9.3170062600431447e-01 8.7196121684983119e-01 8.2173953951097600e-01 7.7914568831298658e-01 7.4268245309155845e-01 7.1117917910970674e-01 6.8374933289583384e-01 6.5971726686038989e-01 6.3858737960766765e-01 6.1996300499196066e-01 6.0355407186850307e-01 5.8910647585011766e-01 5.7644022330777300e-01 5.6537841793339427e-01 5.5577252780089703e-01 5.4750467064696851e-01 5.4045067775296718e-01 5.3448558654638512e-01 5.2951521746867358e-01 5.2542328512868930e-01 5.2211637645482389e-01 5.1948922851519275e-01 5.1744557379251832e-01 5.1585685365404865e-01 5.1459982414165317e-01 5.1357617832876212e-01 5.1269583695310750e-01 5.1187552193018881e-01 5.1129844903425981e-01 5.1071683717059857e-01 5.1012384767942387e-01 5.0950291834598960e-01 5.0886241326698722e-01 5.0818454002387958e-01 5.0748883490052143e-01 5.0671797725391921e-01 5.0589297762545105e-01 5.0499865167750579e-01 5.0402314206299692e-01 5.0295204042015007e-01 5.0176911541337543e-01 5.0045170074833123e-01 4.9899941520467289e-01 4.9736172332958517e-01 4.9552556449066026e-01 4.9346429557472815e-01 4.9114924502783192e-01 4.8855084546298377e-01 4.8563944050953362e-01 4.8238286153236781e-01 4.7878261911940367e-01 4.7477982660077284e-01 4.7038649312510095e-01 4.6561278662628086e-01 4.6049615415841455e-01 4.5510030612972718e-01 4.4954650425166048e-01 4.4401576967878226e-01 4.3880096988669481e-01 4.3427738314210862e-01 4.3102537666846247e-01 4.2985618056934138e-01 4.3194688268072368e-01 4.3901223149670460e-01 4.5365061625738529e-01 4.7997574995249975e-01 5.2491425879962328e-01 2.5480125034797720e-02 +3.3687541638907419e+01 6.0546370638970437e+00 6.0497710824907935e+00 6.0485023637788231e+00 6.0466041197305254e+00 6.0441697252220887e+00 6.0415145057012740e+00 6.0388509463198954e+00 6.0358890183634104e+00 6.0322164157048226e+00 6.0275918181629633e+00 6.0218745375273324e+00 6.0148897151602458e+00 6.0064175674320159e+00 5.9962049380147917e+00 5.9839684338750931e+00 5.9693795803349872e+00 5.9520455084830992e+00 5.9315052247607740e+00 5.9072270459543121e+00 5.8786017095684899e+00 5.8449360172120572e+00 5.8054368862777812e+00 5.7590750045282721e+00 5.7040712823195472e+00 5.6383247791336837e+00 5.5610401489571197e+00 5.4717504075073364e+00 5.3694503608953976e+00 5.2529511669761417e+00 5.1211255022830970e+00 4.9730185030940994e+00 4.8079486757097296e+00 4.6256194456979580e+00 4.4262368430369810e+00 4.2106228652145044e+00 3.9803084369746622e+00 3.7375889894116905e+00 3.4855224034876775e+00 3.2278541117709088e+00 2.9688595707009662e+00 2.6943171561891428e+00 2.4291765478115175e+00 2.1786367632443060e+00 1.9470132751563323e+00 1.7374125165518488e+00 1.5515603399914042e+00 1.3898055880503803e+00 1.2512835445034403e+00 1.1341953149153017e+00 1.0361357534791547e+00 9.5442147653890774e-01 8.8638085551380497e-01 8.2955899511342757e-01 7.8179073028803636e-01 7.4127731455896961e-01 7.0659422283946749e-01 6.7662793146427613e-01 6.5053535521746475e-01 6.2767406024744088e-01 6.0757286740699634e-01 5.8985466682980225e-01 5.7424370202174668e-01 5.6049838523963513e-01 5.4844759353279471e-01 5.3792312024964839e-01 5.2878371967697113e-01 5.2091728625984079e-01 5.1420572235632034e-01 5.0853016251739469e-01 5.0380101999012705e-01 4.9990767206839071e-01 4.9676124735012650e-01 4.9426159836675693e-01 4.9231713095210328e-01 4.9080552551849133e-01 4.8960951983049184e-01 4.8863557408059327e-01 4.8779797868858504e-01 4.8701749813407580e-01 4.8646844896234903e-01 4.8591508155223068e-01 4.8535088916751601e-01 4.8476011381426470e-01 4.8415071337188426e-01 4.8350575991020456e-01 4.8284383871509878e-01 4.8211041593912396e-01 4.8132548044224294e-01 4.8047458527693010e-01 4.7954644891821163e-01 4.7852736270992186e-01 4.7740188355201446e-01 4.7614844633146125e-01 4.7476668611488920e-01 4.7320852469176017e-01 4.7146153435661736e-01 4.6950036585700877e-01 4.6729774000699531e-01 4.6482552529344240e-01 4.6205550554177061e-01 4.5895707474942937e-01 4.5553166801469486e-01 4.5172326136122692e-01 4.4754327946926520e-01 4.4300139650175041e-01 4.3813324099558348e-01 4.3299942942071046e-01 4.2771533470560347e-01 4.2245318753654609e-01 4.1749163100209069e-01 4.1318772160310491e-01 4.1009364120376496e-01 4.0898122479842874e-01 4.1097039694238374e-01 4.1769263357142383e-01 4.3162013944944438e-01 4.5666685534175339e-01 4.9942302944109945e-01 2.4199139657127843e-02 +3.3744170552964711e+01 5.7709440331304824e+00 5.7662153565992469e+00 5.7650054720128932e+00 5.7631950003650427e+00 5.7608723612213124e+00 5.7583377722988534e+00 5.7557937623520106e+00 5.7529640583329931e+00 5.7494556023105901e+00 5.7450380648776340e+00 5.7395769968844181e+00 5.7329053944155781e+00 5.7248133815597511e+00 5.7150592054694380e+00 5.7033722382462040e+00 5.6894388134081249e+00 5.6728837835901738e+00 5.6532669600035570e+00 5.6300806767114562e+00 5.6027432262836578e+00 5.5705928071038935e+00 5.5328723187494289e+00 5.4885992167962199e+00 5.4360751851687308e+00 5.3732947493570817e+00 5.2994994933670894e+00 5.2142450070124937e+00 5.1165733534610727e+00 5.0053517520453603e+00 4.8795068002850996e+00 4.7381304795520851e+00 4.5805765345118230e+00 4.4065669389210536e+00 4.2163041147126590e+00 4.0105788883627511e+00 3.7908588111274528e+00 3.5593406331662112e+00 3.3189476323164886e+00 3.0732573581180929e+00 2.8263505728701492e+00 2.5646771087554092e+00 2.3120223833000955e+00 2.0733365328306368e+00 1.8527235887212063e+00 1.6531324596965424e+00 1.4761950384275844e+00 1.3222312488556012e+00 1.1904061858020285e+00 1.0789972354560882e+00 9.8570690389415960e-01 9.0797522828437371e-01 8.4325560473479200e-01 7.8920947076774750e-01 7.4377531224352977e-01 7.0524117289980337e-01 6.7225170478211416e-01 6.4374774232510446e-01 6.1892753010001245e-01 5.9718022317468611e-01 5.7805786677191773e-01 5.6120194746381646e-01 5.4635032008378115e-01 5.3327329962359948e-01 5.2180819849044791e-01 5.1179507462946905e-01 5.0309961262787550e-01 4.9561520176133350e-01 4.8922951989548430e-01 4.8382950251361184e-01 4.7932993267255330e-01 4.7562557581687431e-01 4.7263188239828063e-01 4.7025357293997339e-01 4.6840350079590465e-01 4.6696528402932957e-01 4.6582735312691265e-01 4.6490070530675087e-01 4.6410378967821608e-01 4.6336121793951662e-01 4.6283883772925372e-01 4.6231234932214266e-01 4.6177556186933816e-01 4.6121348272231988e-01 4.6063368318350945e-01 4.6002005799505807e-01 4.5939028753796646e-01 4.5869248987003441e-01 4.5794568163344279e-01 4.5713611762205286e-01 4.5625306429479606e-01 4.5528347887578496e-01 4.5421266839246527e-01 4.5302011565386446e-01 4.5170547134428812e-01 4.5022299553806400e-01 4.4856086292828873e-01 4.4669495557167843e-01 4.4459931933810187e-01 4.4224718917146361e-01 4.3961171946771199e-01 4.3666379128980098e-01 4.3340476800689076e-01 4.2978134978512217e-01 4.2580440515736001e-01 4.2148313838743751e-01 4.1685144740845748e-01 4.1196700432701988e-01 4.0693957797610325e-01 4.0193303352326337e-01 3.9721247743947319e-01 3.9311762523716925e-01 3.9017383608363249e-01 3.8911545437441147e-01 3.9100800494355353e-01 3.9740371691355630e-01 4.1065471086465127e-01 4.3448481315594495e-01 4.7516415606131174e-01 2.2982359586108749e-02 +3.3800799467022003e+01 5.5004637489277108e+00 5.4958681241290215e+00 5.4947144757066102e+00 5.4929876530114896e+00 5.4907717050886324e+00 5.4883523280539999e+00 5.4859225484063288e+00 5.4832192211984134e+00 5.4798676435467577e+00 5.4756479782393237e+00 5.4704317431855074e+00 5.4640594391006987e+00 5.4563306550046171e+00 5.4470145318090530e+00 5.4358526369634861e+00 5.4225454503001211e+00 5.4067347534604364e+00 5.3880002314312536e+00 5.3658571599918305e+00 5.3397501511234529e+00 5.3090473900628146e+00 5.2730261398647391e+00 5.2307485168241703e+00 5.1805933419914982e+00 5.1206463057015030e+00 5.0501842222756341e+00 4.9687841763639868e+00 4.8755332861165996e+00 4.7693522120961287e+00 4.6492189181831245e+00 4.5142699589098854e+00 4.3638925290876518e+00 4.1978260751047163e+00 4.0162692988640840e+00 3.8199829619902923e+00 3.6103737941889400e+00 3.3895440290133747e+00 3.1602881791660682e+00 2.9260233408277911e+00 2.6906443471072059e+00 2.4412409819711840e+00 2.2004882940314330e+00 1.9730993405842396e+00 1.7629769728815710e+00 1.5729204736493838e+00 1.4044727854271395e+00 1.2579268844001852e+00 1.1324768324822554e+00 1.0264731625945942e+00 9.3772129364195145e-01 8.6377907336905813e-01 8.0221912685062613e-01 7.5081375596019917e-01 7.0760017041519396e-01 6.7094904309526748e-01 6.3957086344563518e-01 6.1245818480959180e-01 5.8884856579378164e-01 5.6816120463147490e-01 5.4997023149176605e-01 5.3393481642445217e-01 5.1980575665866235e-01 5.0736468598606033e-01 4.9645693811191960e-01 4.8693043121684998e-01 4.7865744158063267e-01 4.7153658512302116e-01 4.6546103397481653e-01 4.6032324267428609e-01 4.5604215187455388e-01 4.5251765387749832e-01 4.4966931176333358e-01 4.4740647848601328e-01 4.4564623995004055e-01 4.4427786496151661e-01 4.4319520162169113e-01 4.4231356513183856e-01 4.4155536243488602e-01 4.4084886649451588e-01 4.4035186565783313e-01 4.3985095649392886e-01 4.3934024877465960e-01 4.3880547819236165e-01 4.3825384816719604e-01 4.3767003631044366e-01 4.3707086196925393e-01 4.3640696671297052e-01 4.3569644204663338e-01 4.3492621057131248e-01 4.3408606023232577e-01 4.3316358193402088e-01 4.3214479655814042e-01 4.3101018414099618e-01 4.2975941033803333e-01 4.2834896028467351e-01 4.2676758200896170e-01 4.2499232933542169e-01 4.2299850911436887e-01 4.2076065666989604e-01 4.1825323069322606e-01 4.1544852738121330e-01 4.1234784194922885e-01 4.0890046682667625e-01 4.0511674135676951e-01 4.0100542262509553e-01 3.9659876164647062e-01 3.9195162854192594e-01 3.8716845904216440e-01 3.8240515730101204e-01 3.7791394784984095e-01 3.7401804362133134e-01 3.7121727819024231e-01 3.7021031823994882e-01 3.7201091948844184e-01 3.7809589631569518e-01 3.9070309192860642e-01 4.1337541147466250e-01 4.5207835104809857e-01 2.1826577185235785e-02 +3.3857428381079295e+01 5.2425849084950018e+00 5.2381183809131660e+00 5.2370182806776358e+00 5.2353713516909570e+00 5.2332571658347238e+00 5.2309478071212583e+00 5.2286271730680669e+00 5.2260446307362693e+00 5.2228429816307393e+00 5.2188124043155613e+00 5.2138301229654278e+00 5.2077438084226584e+00 5.2003620915227859e+00 5.1914645197893439e+00 5.1808043114131870e+00 5.1680954599506164e+00 5.1529959186264520e+00 5.1351043564895296e+00 5.1139579631758600e+00 5.0890264892899717e+00 5.0597067597578489e+00 5.0253088545280447e+00 4.9849375375803646e+00 4.9370452928238500e+00 4.8798048662658013e+00 4.8125266803123656e+00 4.7348082862110239e+00 4.6457797566190013e+00 4.5444126943951106e+00 4.4297339949628247e+00 4.3009226229657580e+00 4.1573975243102161e+00 3.9989146017545458e+00 3.8256687432007439e+00 3.6383917165110433e+00 3.4384318826544829e+00 3.2278009510789953e+00 3.0091702584316571e+00 2.7858035531881855e+00 2.5614181146945474e+00 2.3237136422403104e+00 2.0943062361373577e+00 1.8776831230488598e+00 1.6775557424203280e+00 1.4965812577966402e+00 1.3362184091738343e+00 1.1967350739415841e+00 1.0773534487019487e+00 9.7649420247287211e-01 8.9206113237728513e-01 8.2172453804659651e-01 7.6317074359149206e-01 7.1427770150819325e-01 6.7317665068988430e-01 6.3831693018394153e-01 6.0847168729328038e-01 5.8268268245644650e-01 5.6022487032829038e-01 5.4054602179240907e-01 5.2324126816147087e-01 5.0798659460152562e-01 4.9454510452777567e-01 4.8270919510864257e-01 4.7233182752151914e-01 4.6326839551379589e-01 4.5539744491911410e-01 4.4862256314444815e-01 4.4284214897198337e-01 4.3795390775578141e-01 4.3388073578409508e-01 4.3052740353695990e-01 4.2781738757460103e-01 4.2566444906582862e-01 4.2398970183584073e-01 4.2268779231627579e-01 4.2165772434982057e-01 4.2081892259734810e-01 4.2009756063189280e-01 4.1942539567457410e-01 4.1895254668039772e-01 4.1847597954627885e-01 4.1799009013351102e-01 4.1748130725015586e-01 4.1695648423040893e-01 4.1640104366779190e-01 4.1583098562755016e-01 4.1519935298659377e-01 4.1452335692206815e-01 4.1379055554284710e-01 4.1299123305673791e-01 4.1211358339855558e-01 4.1114430677653507e-01 4.1006483219934503e-01 4.0887483967427257e-01 4.0753293162972698e-01 4.0602840175925925e-01 4.0433941898041331e-01 4.0244249013182681e-01 4.0031338802006006e-01 3.9792781254562182e-01 3.9525940657202396e-01 3.9230940055579866e-01 3.8902955366691178e-01 3.8542970171474283e-01 3.8151817623426820e-01 3.7732566098104470e-01 3.7290435961660023e-01 3.6835363272146932e-01 3.6382180847613332e-01 3.5954885264109121e-01 3.5584227363948251e-01 3.5317761413591808e-01 3.5221958874825199e-01 3.5393268809193762e-01 3.5972195946867652e-01 3.7171649608958407e-01 3.9328703268843740e-01 4.3010916399750460e-01 2.0728744508290032e-02 +3.3914057295136587e+01 4.9967242421470548e+00 4.9923829399850588e+00 4.9913339803931720e+00 4.9897632394981954e+00 4.9877461986926415e+00 4.9855418756334169e+00 4.9833255287407709e+00 4.9808584232134647e+00 4.9778000576517334e+00 4.9739501705129703e+00 4.9691914423493495e+00 4.9633783944909844e+00 4.9563282953349370e+00 4.9478306334650295e+00 4.9376497572207505e+00 4.9255125693654271e+00 4.9110924708342480e+00 4.8940062644655287e+00 4.8738120715337585e+00 4.8500036529835571e+00 4.8220051861580613e+00 4.7891580903159916e+00 4.7506078539743308e+00 4.7048773046761658e+00 4.6502223184224167e+00 4.5859853774616797e+00 4.5117835200028464e+00 4.4267877697605016e+00 4.3300182886590397e+00 4.2205485830994158e+00 4.0975979685273947e+00 3.9606155277050936e+00 3.8093726596223663e+00 3.6440603608275142e+00 3.4653824423223996e+00 3.2746312536844400e+00 3.0737318077867020e+00 2.8652376158409845e+00 2.6522658741107019e+00 2.4383643111600386e+00 2.2118139052944858e+00 1.9932208688965958e+00 1.7868573182019156e+00 1.5962525796982310e+00 1.4239288322838004e+00 1.2712651123111258e+00 1.1385059325181983e+00 1.0249008041850385e+00 9.2893764050350003e-01 8.4861427806058520e-01 7.8170835013432061e-01 7.2601460370015880e-01 6.7951167113569511e-01 6.4042034733597875e-01 6.0726486327875484e-01 5.7887799715532340e-01 5.5434832595273209e-01 5.3298637543598237e-01 5.1426709022452266e-01 4.9780557188954722e-01 4.8329379479029622e-01 4.7050656344210884e-01 4.5924651009814060e-01 4.4937384882909615e-01 4.4075108301997301e-01 4.3326272159140639e-01 4.2681708067873481e-01 4.2131753107882225e-01 4.1666677369739430e-01 4.1279146826005569e-01 4.0960102675257715e-01 4.0702264966347229e-01 4.0497429295929038e-01 4.0338090359873091e-01 4.0214224566119866e-01 4.0116222944993335e-01 4.0036419058324368e-01 3.9967788725316766e-01 3.9903839244534384e-01 3.9858852684770063e-01 3.9813512408266793e-01 3.9767285226756438e-01 3.9718879979764110e-01 3.9668948685896505e-01 3.9616104496550064e-01 3.9561869463982308e-01 3.9501776374848785e-01 3.9437462579287536e-01 3.9367744364274998e-01 3.9291697376027807e-01 3.9208198393539251e-01 3.9115982083812439e-01 3.9013281651704185e-01 3.8900066473700201e-01 3.8772398264565272e-01 3.8629258326335619e-01 3.8468569665068381e-01 3.8288097157972473e-01 3.8085535847088248e-01 3.7858573838302489e-01 3.7604703567496428e-01 3.7324041927327006e-01 3.7011999561347425e-01 3.6669512138768362e-01 3.6297372317040605e-01 3.5898499327925298e-01 3.5477859792001093e-01 3.5044906805885623e-01 3.4613752241096885e-01 3.4207226113275152e-01 3.3854584780054336e-01 3.3601070941548278e-01 3.3509925111594269e-01 3.3672908189587730e-01 3.4223695406303106e-01 3.5364847215155720e-01 3.7417053006263845e-01 4.0920284672134410e-01 1.9685965379270361e-02 +3.3970686209193879e+01 4.7623254427810693e+00 4.7581055789423061e+00 4.7571053499734575e+00 4.7556073196744375e+00 4.7536829812255732e+00 4.7515789583379737e+00 4.7494622541581055e+00 4.7471054713941774e+00 4.7441840359870326e+00 4.7405068106766146e+00 4.7359616930717365e+00 4.7304097495415922e+00 4.7236764997494713e+00 4.7155609284541322e+00 4.7058380165717830e+00 4.6942469983404038e+00 4.6804760306338986e+00 4.6641592375417513e+00 4.6448747333636797e+00 4.6221392112507811e+00 4.5954029710545639e+00 4.5640373596371688e+00 4.5272267528605008e+00 4.4835611508508011e+00 4.4313758092901301e+00 4.3700437926909839e+00 4.2992006929501656e+00 4.2180565739220137e+00 4.1256778838235384e+00 4.0211825284010745e+00 3.9038282134132514e+00 3.7730926248779260e+00 3.6287617510391432e+00 3.4710226350249451e+00 3.3005521345457938e+00 3.1185888532041872e+00 2.9269747765077740e+00 2.7281507123435471e+00 2.5250938034263295e+00 2.3211898743670965e+00 2.1052738815676011e+00 1.8969889569064922e+00 1.7004023226955549e+00 1.5188700441705045e+00 1.3547860960679430e+00 1.2094540741222333e+00 1.0830967524394375e+00 9.7499015010799206e-01 8.8368664689614307e-01 8.0727396769951421e-01 7.4363219104157230e-01 6.9065945284200370e-01 6.4643032639871878e-01 6.0925090058495623e-01 5.7771670389050900e-01 5.5071726372416785e-01 5.2738569852601447e-01 5.0706636879932288e-01 4.8926006211799344e-01 4.7360086977533616e-01 4.5979596977336351e-01 4.4763129225390119e-01 4.3691920207268847e-01 4.2752680992722863e-01 4.1932338074205949e-01 4.1219909497044399e-01 4.0606676651871565e-01 4.0083449590904902e-01 3.9640973668532170e-01 3.9272272911079315e-01 3.8968730142992281e-01 3.8723419764515687e-01 3.8528536538718211e-01 3.8376939933352372e-01 3.8259093374000219e-01 3.8165854808436545e-01 3.8089929998035910e-01 3.8024635897916198e-01 3.7963795344643786e-01 3.7920995905668015e-01 3.7877859970110050e-01 3.7833880258580133e-01 3.7787828377862687e-01 3.7740324644105644e-01 3.7690049668196857e-01 3.7638451329983713e-01 3.7581279844480137e-01 3.7520092853521780e-01 3.7453764193612110e-01 3.7381414451124240e-01 3.7301975013567545e-01 3.7214242065786396e-01 3.7116534744808444e-01 3.7008823745551450e-01 3.6887362492192327e-01 3.6751181711775760e-01 3.6598305389728070e-01 3.6426607070533729e-01 3.6233893858887439e-01 3.6017966260679002e-01 3.5776438658055359e-01 3.5509422097428767e-01 3.5212550577421875e-01 3.4886714179423356e-01 3.4532667024417935e-01 3.4153186417790876e-01 3.3752997513608080e-01 3.3341093818468553e-01 3.2930901143578217e-01 3.2544139404516709e-01 3.2208642783442615e-01 3.1967454280220892e-01 3.1880739810536296e-01 3.2035798983735997e-01 3.2559808022484577e-01 3.3645479312452470e-01 3.5597911013986355e-01 3.8930822463869180e-01 1.8695487863524814e-02 +3.4027315123251171e+01 4.5388575210084916e+00 4.5347555457349795e+00 4.5338017916743594e+00 4.5323731422648779e+00 4.5305372772994543e+00 4.5285290183575473e+00 4.5265075151877099e+00 4.5242561661193124e+00 4.5214655862883255e+00 4.5179533477846174e+00 4.5136123360788583e+00 4.5083098706024884e+00 4.5018793531513213e+00 4.4941288395778347e+00 4.4848434677698030e+00 4.4737742513463070e+00 4.4606234420322926e+00 4.4450417087021332e+00 4.4266262617645804e+00 4.4049156964031688e+00 4.3793852598661314e+00 4.3494348779215528e+00 4.3142860586695519e+00 4.2725929454560774e+00 4.2227665909682948e+00 4.1642092318095498e+00 4.0965741245139400e+00 4.0191085504837236e+00 3.9309230768021299e+00 3.8311779008325848e+00 3.7191672522884418e+00 3.5943959635207814e+00 3.4566637553702932e+00 3.3061536695482259e+00 3.1435165815562196e+00 2.9699395259226780e+00 2.7871849780618860e+00 2.5975859456830404e+00 2.4039857325485472e+00 2.2096155656245475e+00 2.0038383520634393e+00 1.8053788001544744e+00 1.6181089744988133e+00 1.4452201049127160e+00 1.2889844057635766e+00 1.1506340714536047e+00 1.0303716617027912e+00 9.2749891031894416e-01 8.4062999611843681e-01 7.6793856083964152e-01 7.0740245953415637e-01 6.5701841440657849e-01 6.1495242179632803e-01 5.7959180379850872e-01 5.4959996331804195e-01 5.2392043368167285e-01 5.0172870960062932e-01 4.8240133423870696e-01 4.6546367217327711e-01 4.5056787178998642e-01 4.3743556759023838e-01 4.2586326804042290e-01 4.1567259267386947e-01 4.0673720996767254e-01 3.9893281525456137e-01 3.9215498315682901e-01 3.8632080562321952e-01 3.8134288236586844e-01 3.7713318841092336e-01 3.7362537050515821e-01 3.7073745878532555e-01 3.6840356905199911e-01 3.6654944725407218e-01 3.6510715930129750e-01 3.6398597406133815e-01 3.6309891431900682e-01 3.6237657980785776e-01 3.6175538651058115e-01 3.6117656550871091e-01 3.6076938370002665e-01 3.6035900077970617e-01 3.5994059050925803e-01 3.5950246624997656e-01 3.5905052948525457e-01 3.5857222825017848e-01 3.5808133561059974e-01 3.5753742263067689e-01 3.5695530728151220e-01 3.5632427556851043e-01 3.5563596100314726e-01 3.5488019711386876e-01 3.5404553115061665e-01 3.5311597219340601e-01 3.5209123982707707e-01 3.5093569246757439e-01 3.4964010776707538e-01 3.4818568649379639e-01 3.4655219816770522e-01 3.4471878021939167e-01 3.4266450730210724e-01 3.4036668365618167e-01 3.3782636419819717e-01 3.3500201423281778e-01 3.3190210081386323e-01 3.2853379843756331e-01 3.2492352959199872e-01 3.2111624803130645e-01 3.1719751537833313e-01 3.1329506120492440e-01 3.0961552107252699e-01 3.0642370332335123e-01 3.0412910573486962e-01 3.0330412968517712e-01 3.0477931782261097e-01 3.0976458804171497e-01 3.2009335033368103e-01 3.3866822070033836e-01 3.7037657424678283e-01 1.7754697110844563e-02 +3.4083944037308463e+01 4.3258141790225419e+00 4.3218265369888895e+00 4.3209171231011361e+00 4.3195546009479724e+00 4.3178032124170231e+00 4.3158863909839278e+00 4.3139558415815138e+00 4.3118052528156019e+00 4.3091397204828619e+00 4.3057851316257185e+00 4.3016391400353724e+00 4.2965750390470001e+00 4.2904337598681508e+00 4.2830320232464016e+00 4.2741646695019311e+00 4.2635939640171650e+00 4.2510356216251184e+00 4.2361561140045465e+00 4.2185708906295138e+00 4.1978394643991974e+00 4.1734609071857909e+00 4.1448624352232724e+00 4.1113010122322793e+00 4.0714920307814007e+00 4.0239189180854007e+00 3.9680117371163131e+00 3.9034405620738006e+00 3.8294881536200500e+00 3.7453071308202879e+00 3.6500979739600075e+00 3.5431896600393946e+00 3.4241127837243637e+00 3.2926799894486187e+00 3.1490702823958197e+00 2.9939094953047030e+00 2.8283351853264058e+00 2.6540336892279228e+00 2.4732349079247000e+00 2.2886542489394892e+00 2.1033753223411726e+00 1.9072641732837856e+00 1.7181696907314963e+00 1.5397780598120157e+00 1.3751236951354042e+00 1.2263631743257499e+00 1.0946611175527894e+00 9.8020129857853888e-01 8.8231038717248378e-01 7.9966179964783912e-01 7.3051129521692060e-01 6.7293004669986212e-01 6.2500878069938892e-01 5.8500060958751410e-01 5.5137021977120382e-01 5.2284562868685958e-01 4.9842176406021010e-01 4.7731443632725656e-01 4.5893079945759641e-01 4.4281959077708155e-01 4.2865012870880054e-01 4.1615779365236666e-01 4.0514915189462763e-01 3.9545462308230539e-01 3.8695411119932671e-01 3.7952942699931891e-01 3.7308127541396485e-01 3.6753081739007920e-01 3.6279493248034661e-01 3.5878989722824634e-01 3.5545259923280853e-01 3.5270506651192102e-01 3.5048462323108159e-01 3.4872062963153982e-01 3.4734845486443411e-01 3.4628177818367822e-01 3.4543785068867722e-01 3.4475064300538960e-01 3.4415966055571701e-01 3.4360899182409310e-01 3.4322161496579762e-01 3.4283119290516789e-01 3.4243313402916969e-01 3.4201632007767407e-01 3.4158636546324800e-01 3.4113132905078530e-01 3.4066431242766809e-01 3.4014685528587557e-01 3.3959305392099409e-01 3.3899271546405763e-01 3.3833788037006662e-01 3.3761887666240081e-01 3.3682480864913689e-01 3.3594046351345686e-01 3.3496557294915263e-01 3.3386623111024316e-01 3.3263366330641730e-01 3.3124998469861633e-01 3.2969594881561215e-01 3.2795170784264166e-01 3.2599735424215581e-01 3.2381129647450729e-01 3.2139453667982182e-01 3.1870756246839366e-01 3.1575842818261568e-01 3.1255395936078212e-01 3.0911929331149657e-01 3.0549719725050195e-01 3.0176907109978929e-01 2.9805643195617870e-01 2.9455586330258066e-01 2.9151929512583119e-01 2.8933630646769248e-01 2.8855145743860605e-01 2.8995489267036234e-01 2.9469767993295820e-01 3.0452405253530640e-01 3.2219544402708261e-01 3.5236150639209624e-01 1.6861108552225456e-02 +3.4140572951365755e+01 4.1227121765744377e+00 4.1188355153206748e+00 4.1179683872823079e+00 4.1166689822403919e+00 4.1149981820744106e+00 4.1131686713427227e+00 4.1113250165087605e+00 4.1092707204346635e+00 4.1067246822965968e+00 4.1035207290045896e+00 4.0995610723493208e+00 4.0947247126632735e+00 4.0888597734220102e+00 4.0817912522173305e+00 4.0733232573513378e+00 4.0632288017880684e+00 4.0512364597602479e+00 4.0370277967694719e+00 4.0202356823838548e+00 4.0004396067517254e+00 3.9771613936823491e+00 3.9498543189571236e+00 3.9178092003459319e+00 3.8797999150086802e+00 3.8343789953498297e+00 3.7810030464758935e+00 3.7193581534361546e+00 3.6487608982836615e+00 3.5684039810981463e+00 3.4775262508609468e+00 3.3754897405967896e+00 3.2618494925941128e+00 3.1364303109519960e+00 2.9994071410631480e+00 2.8513816815484598e+00 2.6934440218473936e+00 2.5272075915747938e+00 2.3548036772785377e+00 2.1788254727914165e+00 2.0022156407415372e+00 1.8153197099005014e+00 1.6351513949272143e+00 1.4652198430650443e+00 1.3084102876200090e+00 1.1667694886469970e+00 1.0413981179393359e+00 9.3246250156216237e-01 8.3931348128884398e-01 7.6068125138390219e-01 6.9490005398220134e-01 6.4013012158064519e-01 5.9455181403053337e-01 5.5650125385790772e-01 5.2451680573035198e-01 4.9738799722965071e-01 4.7415866444807897e-01 4.5408297261271546e-01 4.3659719099940664e-01 4.2127228412998030e-01 4.0779389677164768e-01 3.9591047938450208e-01 3.8543816106435186e-01 3.7621572923290864e-01 3.6812901687461641e-01 3.6106565053755291e-01 3.5493121445096193e-01 3.4965073968632426e-01 3.4514517693266317e-01 3.4133489493729885e-01 3.3815986453500080e-01 3.3554591747537527e-01 3.3343343073663290e-01 3.3175520370232164e-01 3.3044974886306805e-01 3.2943494243040872e-01 3.2863205917670302e-01 3.2797827762930237e-01 3.2741604321396361e-01 3.2689216350148470e-01 3.2652363251526823e-01 3.2615220467504069e-01 3.2577351163646001e-01 3.2537697599725807e-01 3.2496793900210730e-01 3.2453504074861778e-01 3.2409074394598125e-01 3.2359846146441629e-01 3.2307160292244425e-01 3.2250047134003090e-01 3.2187749440830588e-01 3.2119347069851695e-01 3.2043803460070847e-01 3.1959671370392834e-01 3.1866925130408752e-01 3.1762339312551507e-01 3.1645079050439068e-01 3.1513442871311931e-01 3.1365599763629431e-01 3.1199661507224985e-01 3.1013734200302684e-01 3.0805763761959976e-01 3.0575845391644851e-01 3.0320220276929571e-01 3.0039654584085390e-01 2.9734797660923556e-01 2.9408040944102065e-01 2.9063453090169039e-01 2.8708778074961960e-01 2.8355576444542341e-01 2.8022550025526294e-01 2.7733666337351565e-01 2.7525987875461794e-01 2.7451321349741864e-01 2.7584837060191764e-01 2.8036041764509939e-01 2.8970872980920154e-01 3.0652039522015556e-01 3.3521885506412891e-01 1.6012361432896995e-02 +3.4197201865423047e+01 3.9290906994259576e+00 3.9253216556651429e+00 3.9244949084441205e+00 3.9232557064036744e+00 3.9216617987499949e+00 3.9199156542217288e+00 3.9181550154930731e+00 3.9161927404845764e+00 3.9137608869656604e+00 3.9107008641349350e+00 3.9069192403498061e+00 3.9023004677331499e+00 3.8966995398283899e+00 3.8899493603025013e+00 3.8818628902291321e+00 3.8722234083500431e+00 3.8607717714294005e+00 3.8472039613154148e+00 3.8311694851532136e+00 3.8122669117542323e+00 3.7900397920230700e+00 3.7639662854105507e+00 3.7333695338426622e+00 3.6970792581080150e+00 3.6537139728089096e+00 3.6027555996457452e+00 3.5439054659970450e+00 3.4765123941660425e+00 3.3998072858008910e+00 3.3130655344016295e+00 3.2156806191137957e+00 3.1072307810735826e+00 2.9875522628046416e+00 2.8568159374425748e+00 2.7156002481768837e+00 2.5649497474361147e+00 2.4064080549208589e+00 2.2420121426793211e+00 2.0742384244416523e+00 1.9058949872786319e+00 1.7277842938541605e+00 1.5561236595549020e+00 1.3942536189762214e+00 1.2449174901251712e+00 1.1100577451687992e+00 9.9071454253438274e-01 8.8703801400537940e-01 7.9840242458829713e-01 7.2359238512647073e-01 6.6101714396635680e-01 6.0892192696265068e-01 5.6557255723090560e-01 5.2938425339919226e-01 4.9896554663686288e-01 4.7316451841503593e-01 4.5107154666677923e-01 4.3197728530131052e-01 4.1534569607046790e-01 4.0076888099656183e-01 3.8794800874905189e-01 3.7664395708470444e-01 3.6668194714560148e-01 3.5790872293641501e-01 3.5021575493350093e-01 3.4349620046778795e-01 3.3766028428157557e-01 3.3263671837354419e-01 3.2835032599588249e-01 3.2472536892587289e-01 3.2170475124785242e-01 3.1921792367774615e-01 3.1720816796058798e-01 3.1561155591856949e-01 3.1436959118504043e-01 3.1340414377703341e-01 3.1264031735536230e-01 3.1201834320225530e-01 3.1148346450102532e-01 3.1098507625829930e-01 3.1063447829092217e-01 3.1028112462090968e-01 3.0992085936525055e-01 3.0954361978284811e-01 3.0915448718415650e-01 3.0874265473055590e-01 3.0831997727597105e-01 3.0785165002774767e-01 3.0735042923427086e-01 3.0680708978495502e-01 3.0621442785024322e-01 3.0556368975588732e-01 3.0484501429801814e-01 3.0404463359185130e-01 3.0316230204911027e-01 3.0216733685865893e-01 3.0105179479272731e-01 2.9979948908774146e-01 2.9839300062827306e-01 2.9681436605310363e-01 2.9504556794934411e-01 2.9306706532735222e-01 2.9087976253888054e-01 2.8844790241266072e-01 2.8577877299623566e-01 2.8287855179193211e-01 2.7976998946221643e-01 2.7649179270478402e-01 2.7311763294033709e-01 2.6975749033106133e-01 2.6658928132098864e-01 2.6384101982337810e-01 2.6186529485753662e-01 2.6115496378544684e-01 2.6242515006376577e-01 2.6671763364689033e-01 2.7561104200052727e-01 2.9160462532429227e-01 3.1890657145472123e-01 1.5206212665071292e-02 +3.4253830779480339e+01 3.7445100112774217e+00 3.7408454649254770e+00 3.7400571218387215e+00 3.7388753986895198e+00 3.7373548661880998e+00 3.7356883219020598e+00 3.7340069924946540e+00 3.7321326540806230e+00 3.7298099089252013e+00 3.7268874069469624e+00 3.7232758803437620e+00 3.7188649890625873e+00 3.7135162887165021e+00 3.7070702348350690e+00 3.6993482444571684e+00 3.6901434017042916e+00 3.6792082946309184e+00 3.6662526741025321e+00 3.6509419371361611e+00 3.6328928726906060e+00 3.6116697796619674e+00 3.5867745778650075e+00 3.5575612720011653e+00 3.5229129037275539e+00 3.4815109866952736e+00 3.4328615897363148e+00 3.3766805504838695e+00 3.3123474235996508e+00 3.2391295201480497e+00 3.1563370398509427e+00 3.0633933755663096e+00 2.9598987811452080e+00 2.8457002566970226e+00 2.7209646005206682e+00 2.5862478498898112e+00 2.4425508749371296e+00 2.2913504538383154e+00 2.1345933595767992e+00 1.9746444211422394e+00 1.8141832374151992e+00 1.6444477086964278e+00 1.4808957413537585e+00 1.3267072856142148e+00 1.1844906598239457e+00 1.0560893026793643e+00 9.4248611327995613e-01 8.4381620271937785e-01 7.5947652596649584e-01 6.8830384355364460e-01 6.2877908446465047e-01 5.7922858486367468e-01 5.3799965316171716e-01 5.0358287299054882e-01 4.7465359638282328e-01 4.5011564356312189e-01 4.2910368157445161e-01 4.1094307717333695e-01 3.9512413091044740e-01 3.8125904576465375e-01 3.6906375111582607e-01 3.5831094071111996e-01 3.4883448004657336e-01 3.4048867863147303e-01 3.3317036719580234e-01 3.2677796274687188e-01 3.2122610338937996e-01 3.1644700205943316e-01 3.1236916564231026e-01 3.0892055941991853e-01 3.0604687800429281e-01 3.0368101524322955e-01 3.0176901675108814e-01 3.0025006812613220e-01 2.9906851927980904e-01 2.9815004067086026e-01 2.9742337944844482e-01 2.9683167196728333e-01 2.9632282377434266e-01 2.9584869200360853e-01 2.9551515820995655e-01 2.9517900301645739e-01 2.9483627271303076e-01 2.9447739428754044e-01 2.9410720171055871e-01 2.9371541439730964e-01 2.9331330887028007e-01 2.9286777621769555e-01 2.9239095101716006e-01 2.9187405716521264e-01 2.9131024145870588e-01 2.9069117628456742e-01 2.9000748040600788e-01 2.8924605631566891e-01 2.8840666907458085e-01 2.8746013109769081e-01 2.8639888499313909e-01 2.8520753184545650e-01 2.8386950037105391e-01 2.8236770152940938e-01 2.8068499486182236e-01 2.7880279074212533e-01 2.7672194825569452e-01 2.7440845237824152e-01 2.7186923568435339e-01 2.6911017500979384e-01 2.6615291369360811e-01 2.6303427449154637e-01 2.5982434306323665e-01 2.5662774680639167e-01 2.5361374139317000e-01 2.5099924435965021e-01 2.4911968267512996e-01 2.4844392537185478e-01 2.4965228867812936e-01 2.5373584672201033e-01 2.6219639149779700e-01 2.7741152904697641e-01 3.0338462303395358e-01 1.4440530984674248e-02 +3.4310459693537631e+01 3.5685506570561003e+00 3.5649874918219200e+00 3.5642358706975483e+00 3.5631089428385581e+00 3.5616584288529562e+00 3.5600678748154815e+00 3.5584623119023764e+00 3.5566720049132496e+00 3.5544535152935519e+00 3.5516624071953546e+00 3.5482133924467187e+00 3.5440011056563470e+00 3.5388933700996583e+00 3.5327378547623378e+00 3.5253640534320771e+00 3.5165744156714012e+00 3.5061327340981050e+00 3.4937619100883133e+00 3.4791425161058198e+00 3.4619087410274196e+00 3.4416446963498846e+00 3.4178749892140399e+00 3.3899830911982223e+00 3.3569029549978069e+00 3.3173762438338432e+00 3.2709320577132535e+00 3.2173000472366353e+00 3.1558890613889421e+00 3.0860011117984545e+00 3.0069795479732062e+00 2.9182762178816324e+00 2.8195122615372559e+00 2.7105447940148886e+00 2.5915365451768033e+00 2.4630219675713807e+00 2.3259600306144721e+00 2.1817635157154105e+00 2.0322929355589747e+00 1.8798065017908629e+00 1.7268611405053513e+00 1.5651096979877872e+00 1.4092859584278996e+00 1.2624169374988785e+00 1.1269825358818157e+00 1.0047321514901246e+00 8.9659450652596795e-01 8.0269078989874754e-01 7.2243992903107490e-01 6.5472865815287573e-01 5.9810640603755028e-01 5.5097691124249981e-01 5.1176517278307598e-01 4.7903358268185647e-01 4.5152112652556597e-01 4.2818468258844511e-01 4.0820106265635736e-01 3.9092865643002500e-01 3.7588281539868135e-01 3.6269485752531033e-01 3.5109474704311544e-01 3.4086641231613130e-01 3.3185193744476399e-01 3.2391282550109851e-01 3.1695100380374891e-01 3.1086989115989144e-01 3.0558832295642796e-01 3.0104184183923893e-01 2.9716245857218304e-01 2.9388166160249779e-01 2.9114780025766906e-01 2.8889704419121132e-01 2.8707806878766395e-01 2.8563302241632643e-01 2.8450896338645382e-01 2.8363517854939113e-01 2.8294388207627769e-01 2.8238097482462488e-01 2.8189689582942767e-01 2.8144584508476661e-01 2.8112854851714575e-01 2.8080875833457419e-01 2.8048271320768259e-01 2.8014130612280513e-01 2.7978913569807079e-01 2.7941642208595391e-01 2.7903389157373254e-01 2.7861004884808077e-01 2.7815643698519438e-01 2.7766470712902297e-01 2.7712833971074741e-01 2.7653941253055020e-01 2.7588900105890524e-01 2.7516464566457721e-01 2.7436612160957619e-01 2.7346566397888500e-01 2.7245608255800624e-01 2.7132272810030866e-01 2.7004983606529886e-01 2.6862114936277609e-01 2.6702036198890799e-01 2.6522978956239329e-01 2.6325024816225995e-01 2.6104938038981729e-01 2.5863378061421771e-01 2.5600903957436150e-01 2.5319574694878416e-01 2.5022893285005876e-01 2.4717527094952357e-01 2.4413429527372946e-01 2.4126702049952745e-01 2.3877980545378052e-01 2.3699174679671764e-01 2.3634888773920587e-01 2.3749842412856104e-01 2.4138318156053204e-01 2.4943184014331982e-01 2.6390625684653085e-01 2.8861489740900403e-01 1.3713291397092658e-02 +3.4367088607594923e+01 3.4008125306272019e+00 3.3973477938297170e+00 3.3966311476962532e+00 3.3955565088113073e+00 3.3941728216228562e+00 3.3926548071614451e+00 3.3911216250604239e+00 3.3894116161302925e+00 3.3872927431710869e+00 3.3846271723066321e+00 3.3813334191153408e+00 3.3773108701070642e+00 3.3724333347877700e+00 3.3665553722801533e+00 3.3595141907508586e+00 3.3511211848145845e+00 3.3411508483619246e+00 3.3293386423074232e+00 3.3153796319695172e+00 3.2989246224964082e+00 3.2795766444033991e+00 3.2568819671270464e+00 3.2302521957957078e+00 3.1986698922800363e+00 3.1609341475991033e+00 3.1165960280854246e+00 3.0653983331391292e+00 3.0067778347132528e+00 2.9400696156041324e+00 2.8646485967178696e+00 2.7799936928362348e+00 2.6857458602067670e+00 2.5817717224091923e+00 2.4682299554653397e+00 2.3456342208118799e+00 2.2149032983613588e+00 2.0773886989229009e+00 1.9348684443942752e+00 1.7894988783798753e+00 1.6437198095842578e+00 1.4895794966380047e+00 1.3411212626723201e+00 1.2012264778129633e+00 1.0722528893320749e+00 9.5586059821689784e-01 8.5292706947995578e-01 7.6356059774277696e-01 6.8720138131928377e-01 6.2278403959776241e-01 5.6892345886420292e-01 5.2409723950687592e-01 4.8680445138417244e-01 4.5567590470412367e-01 4.2951118219467221e-01 4.0731766753839066e-01 3.8831227608375157e-01 3.7188481237212895e-01 3.5757445360517293e-01 3.4503069487569615e-01 3.3399684493573628e-01 3.2426751386264818e-01 3.1569259948517819e-01 3.0814044470180046e-01 3.0151782266567290e-01 2.9573290869634011e-01 2.9070852991527718e-01 2.8638339578751953e-01 2.8269284993338833e-01 2.7957173236834887e-01 2.7697091790482414e-01 2.7482969276712471e-01 2.7309923448818080e-01 2.7172451049215962e-01 2.7065515625145126e-01 2.6982389983331723e-01 2.6916625447141634e-01 2.6863075172295620e-01 2.6817024144580759e-01 2.6774115297573325e-01 2.6743930657421477e-01 2.6713508813949965e-01 2.6682491940277714e-01 2.6650013676263717e-01 2.6616511489497746e-01 2.6581055040314328e-01 2.6544664607742663e-01 2.6504344189474366e-01 2.6461191814106433e-01 2.6414413249733870e-01 2.6363388285712347e-01 2.6307363278239876e-01 2.6245489231259067e-01 2.6176580875944017e-01 2.6100616715630559e-01 2.6014955620611863e-01 2.5918913511254343e-01 2.5811096795818694e-01 2.5690005784013531e-01 2.5554093929167432e-01 2.5401810031364352e-01 2.5231471787758097e-01 2.5043156720198734e-01 2.4833786807680452e-01 2.4603989309555871e-01 2.4354296076878792e-01 2.4086665818873954e-01 2.3804430971980733e-01 2.3513934243586981e-01 2.3224644387355309e-01 2.2951878724035443e-01 2.2715268439112413e-01 2.2545169329778356e-01 2.2484013778322687e-01 2.2593369879469977e-01 2.2962929216090189e-01 2.3728603008103430e-01 2.5105563118670082e-01 2.7456111073650796e-01 1.3022569897703919e-02 +3.4423717521652215e+01 3.2409139414039485e+00 3.2375447589323993e+00 3.2368614929486141e+00 3.2358366990249485e+00 3.2345167793956451e+00 3.2330680258727522e+00 3.2316039891542689e+00 3.2299707091460026e+00 3.2279470186830732e+00 3.2254013869589331e+00 3.2222559654107257e+00 3.2184146796651349e+00 3.2137570564451918e+00 3.2081442361033545e+00 3.2014207949077420e+00 3.1934066708383071e+00 3.1838865781682304e+00 3.1726079727171093e+00 3.1592797604704388e+00 3.1435686141934034e+00 3.1250956297629098e+00 3.1034277597900126e+00 3.0780034694252669e+00 3.0478517309938931e+00 3.0118264636118814e+00 2.9694996838649668e+00 2.9206267073656429e+00 2.8646709212799704e+00 2.8009989259778849e+00 2.7290157098052248e+00 2.6482259329964730e+00 2.5582893519365193e+00 2.4590815264626427e+00 2.3507571007688193e+00 2.2338097120198879e+00 2.1091195941247110e+00 1.9779795996854648e+00 1.8420888672182991e+00 1.7035064128986441e+00 1.5645602349154910e+00 1.4176753841355876e+00 1.2762368322338193e+00 1.1429872488145976e+00 1.0201681894439294e+00 9.0935496544773375e-01 8.1137655008102638e-01 7.2632930517283345e-01 6.5367401446005691e-01 5.9239117807148045e-01 5.4115823019528109e-01 4.9852325240164380e-01 4.6305593259046035e-01 4.3345226764597411e-01 4.0856954483861391e-01 3.8746322260777250e-01 3.6938837693777932e-01 3.5376469697201141e-01 3.4015402000625555e-01 3.2822312619183891e-01 3.1772801225550701e-01 3.0847344416957340e-01 3.0031674847104656e-01 2.9313277146431749e-01 2.8683289366728731e-01 2.8132981360026826e-01 2.7655015459332899e-01 2.7243563797429543e-01 2.6892477750911609e-01 2.6595560150272868e-01 2.6348138728446652e-01 2.6144438612005627e-01 2.5979815623405672e-01 2.5849034732669823e-01 2.5747304712917479e-01 2.5668225819140789e-01 2.5605663294881659e-01 2.5554720630154293e-01 2.5510912217449006e-01 2.5470093120118553e-01 2.5441378587897812e-01 2.5412438420191535e-01 2.5382932209109632e-01 2.5352035786112381e-01 2.5320165310399728e-01 2.5286435776138122e-01 2.5251817657088199e-01 2.5213461027393114e-01 2.5172410369060150e-01 2.5127910132825476e-01 2.5079370315063848e-01 2.5026073977758978e-01 2.4967213474761352e-01 2.4901661287568227e-01 2.4829396855432412e-01 2.4747907838835720e-01 2.4656543409494808e-01 2.4553977850035921e-01 2.4438784512086406e-01 2.4309492173001521e-01 2.4164625183706140e-01 2.4002583199137795e-01 2.3823439859080725e-01 2.3624267206151209e-01 2.3405661885797832e-01 2.3168129846052932e-01 2.2913534398534621e-01 2.2645045675156489e-01 2.2368697464588533e-01 2.2093497368595891e-01 2.1834016585715271e-01 2.1608930309261640e-01 2.1447115810041728e-01 2.1388938836802876e-01 2.1492968796020273e-01 2.1844528886362594e-01 2.2572910835646465e-01 2.3882806676222673e-01 2.6118872048001524e-01 1.2366538453653042e-02 +3.4480346435709507e+01 3.0884908126057717e+00 3.0852143413776143e+00 3.0845629289765513e+00 3.0835857028591533e+00 3.0823266335616251e+00 3.0809440084194444e+00 3.0795460258545799e+00 3.0779860623875681e+00 3.0760533160127759e+00 3.0736222726177429e+00 3.0706185591547932e+00 3.0669504371614105e+00 3.0625028934540093e+00 3.0571433544583999e+00 3.0507234336620108e+00 3.0430712285971646e+00 3.0339812144560594e+00 3.0232123024713116e+00 3.0104866162050605e+00 2.9954859808164618e+00 2.9778487420515352e+00 2.9571616004445254e+00 2.9328886647802377e+00 2.9041032176972519e+00 2.8697115233458654e+00 2.8293055790610637e+00 2.7826526141737440e+00 2.7292413839922300e+00 2.6684685251869182e+00 2.5997676605109161e+00 2.5226679380651329e+00 2.4368469494335141e+00 2.3421886508433900e+00 2.2388436833652685e+00 2.1272864007203895e+00 2.0083600691843926e+00 1.8833013863849768e+00 1.7537340596044193e+00 1.6216241185457170e+00 1.4891928201836948e+00 1.3492242586434888e+00 1.2144756830654124e+00 1.0875576796282840e+00 9.7060128579952742e-01 8.6510130558633636e-01 7.7184083964083172e-01 6.9090521608055877e-01 6.2177513477047219e-01 5.6347505307019130e-01 5.1474217047397375e-01 4.7419182188058073e-01 4.4046101977927266e-01 4.1230786755738508e-01 3.8864460148935770e-01 3.6857244032065484e-01 3.5138277130364570e-01 3.3652371206479365e-01 3.2357865109724904e-01 3.1223080509996587e-01 3.0224823437765613e-01 2.9344536074372030e-01 2.8568657330792446e-01 2.7885290183629846e-01 2.7286010742454148e-01 2.6762518987659167e-01 2.6307838274125545e-01 2.5916427180128770e-01 2.5582438616538750e-01 2.5299978706924209e-01 2.5064603735094343e-01 2.4870820912231800e-01 2.4714212571016961e-01 2.4589798891898923e-01 2.4493021985716248e-01 2.4417793686673872e-01 2.4358277943300066e-01 2.4309816457728944e-01 2.4268141916404778e-01 2.4229311229340067e-01 2.4201995511385008e-01 2.4174465164016906e-01 2.4146396354023270e-01 2.4117005058504465e-01 2.4086687161780518e-01 2.4054600792206710e-01 2.4021669039463558e-01 2.3985180961837554e-01 2.3946130095042956e-01 2.3903797696507781e-01 2.3857622504663620e-01 2.3806922507241221e-01 2.3750929402685514e-01 2.3688570620963290e-01 2.3619826497614740e-01 2.3542307229408846e-01 2.3455393630319252e-01 2.3357824565641525e-01 2.3248242886649040e-01 2.3125249041827797e-01 2.2987439268979815e-01 2.2833291205000233e-01 2.2662874801440691e-01 2.2473404879191153e-01 2.2265448957754203e-01 2.2039488338315469e-01 2.1797295561309077e-01 2.1541886325298970e-01 2.1279000481630206e-01 2.1017206843267555e-01 2.0770366675937749e-01 2.0556245535733003e-01 2.0402313873274225e-01 2.0346971026971866e-01 2.0445933142459555e-01 2.0780366884506718e-01 2.1473265509385256e-01 2.2719349450664941e-01 2.4846484230253807e-01 1.1743460234004827e-02 +3.4536975349766799e+01 2.9431958958152071e+00 2.9400094388964910e+00 2.9393883700927557e+00 2.9384564874974251e+00 2.9372555003876286e+00 2.9359360002602224e+00 2.9346011176838060e+00 2.9331112081323099e+00 2.9312653545174641e+00 2.9289437851358371e+00 2.9260754491449843e+00 2.9225727499741390e+00 2.9183258887844472e+00 2.9132082960430528e+00 2.9070783063112078e+00 2.8997718099371848e+00 2.8910926040321949e+00 2.8808105398334845e+00 2.8686603631566476e+00 2.8543383682908487e+00 2.8374993718551189e+00 2.8177489289593374e+00 2.7945756302434579e+00 2.7670950627177033e+00 2.7342634639584849e+00 2.6956918870072513e+00 2.6511589010986674e+00 2.6001774405116604e+00 2.5421727659122135e+00 2.4766057690829473e+00 2.4030288891015279e+00 2.3211366364593333e+00 2.2308208545124506e+00 2.1322282159567365e+00 2.0258145066544193e+00 1.9123875409421189e+00 1.7931302600063597e+00 1.6695942433388111e+00 1.5436566841102977e+00 1.4174369403128468e+00 1.2840612310064645e+00 1.1556882986835935e+00 1.0348029505878142e+00 9.2343110536770190e-01 8.2299112822178244e-01 7.3422272767984031e-01 6.5720103856276380e-01 5.9142602378543874e-01 5.3596425224023492e-01 4.8961002771976952e-01 4.5104285659008547e-01 4.1896393455409792e-01 3.9219053564786999e-01 3.6968722023048833e-01 3.5059876359132652e-01 3.3425110396506674e-01 3.2011940189298510e-01 3.0780754214764577e-01 2.9701437091100125e-01 2.8751941824814042e-01 2.7914628626847104e-01 2.7176607848487211e-01 2.6526570384947090e-01 2.5956508836523901e-01 2.5458532204251333e-01 2.5026007173087778e-01 2.4653664744392498e-01 2.4335944635659107e-01 2.4067241481274135e-01 2.3843328982361950e-01 2.3658982713301682e-01 2.3510000516655047e-01 2.3391645394882898e-01 2.3299581482141143e-01 2.3228017088050743e-01 2.3171400384932342e-01 2.3125299749174613e-01 2.3085655584179207e-01 2.3048716859513615e-01 2.3022732103675844e-01 2.2996543189804289e-01 2.2969842055870937e-01 2.2941882877487296e-01 2.2913042247603685e-01 2.2882519335333690e-01 2.2851192150421962e-01 2.2816481985628032e-01 2.2779333905066648e-01 2.2739064187417043e-01 2.2695138919008762e-01 2.2646909319089586e-01 2.2593644522226461e-01 2.2534324240284939e-01 2.2468929667193374e-01 2.2395187584308798e-01 2.2312508916262835e-01 2.2219693978290983e-01 2.2115451749989878e-01 2.1998450874401509e-01 2.1867355989098047e-01 2.1720718929132690e-01 2.1558606142035894e-01 2.1378368293658320e-01 2.1180545193535213e-01 2.0965594691553438e-01 2.0735202960072674e-01 2.0492238755428921e-01 2.0242162249918397e-01 1.9993124751390690e-01 1.9758312034801073e-01 1.9554624136767637e-01 1.9408192932311841e-01 1.9355546734757792e-01 1.9449686836051353e-01 1.9767824990776509e-01 2.0426961507878502e-01 2.1612328920517646e-01 2.3635817090231878e-01 1.1151685076030773e-02 +3.4593604263824091e+01 2.8046978295538421e+00 2.8015987760600027e+00 2.8010066845709995e+00 2.8001180560332801e+00 2.7989724831167653e+00 2.7977132483450222e+00 2.7964386405439061e+00 2.7950156657004936e+00 2.7932528322855719e+00 2.7910358487645359e+00 2.7882968397594330e+00 2.7849521653327436e+00 2.7808970061705396e+00 2.7760105272570650e+00 2.7701574821670154e+00 2.7631812036642369e+00 2.7548943913610859e+00 2.7450773440514369e+00 2.7334768610827407e+00 2.7198030531296968e+00 2.7037264635569933e+00 2.6848706487733156e+00 2.6627475716542608e+00 2.6365132076629658e+00 2.6051715027080355e+00 2.5683516829182773e+00 2.5258431109453023e+00 2.4771817661129467e+00 2.4218201865825635e+00 2.3592452322390702e+00 2.2890314940945333e+00 2.2108895314726955e+00 2.1247185945504095e+00 2.0306614278262192e+00 1.9291559403669087e+00 1.8209759499837048e+00 1.7072529395407061e+00 1.5894695217559029e+00 1.4694180204773617e+00 1.3491205198858356e+00 1.2220292377316948e+00 1.0997322772913445e+00 9.8459467335992168e-01 8.7854236384710849e-01 7.8292114037387328e-01 6.9842966836223064e-01 6.2513367462113323e-01 5.6255174826214127e-01 5.0979079882331713e-01 4.6569968978374515e-01 4.2901915659907530e-01 3.9851158194523645e-01 3.7305061227417780e-01 3.5165063158611271e-01 3.3349787338785403e-01 3.1795115142918590e-01 3.0451135075157970e-01 2.9280184885767724e-01 2.8253635377751940e-01 2.7350530061114742e-01 2.6554101953131787e-01 2.5852099737148188e-01 2.5233773290273581e-01 2.4691511193488697e-01 2.4217811392251209e-01 2.3806367073103649e-01 2.3452168321415062e-01 2.3149927649847454e-01 2.2894314138605507e-01 2.2681308312575504e-01 2.2505941052289621e-01 2.2364215241665858e-01 2.2251624915273707e-01 2.2164045462226681e-01 2.2095967292538041e-01 2.2042109019921480e-01 2.1998254713265161e-01 2.1960542425979052e-01 2.1925403872564647e-01 2.1900685502815215e-01 2.1875772937646398e-01 2.1850373121419026e-01 2.1823776575076451e-01 2.1796341536286715e-01 2.1767306222664354e-01 2.1737505756555844e-01 2.1704487241875173e-01 2.1669149626113282e-01 2.1630842510006368e-01 2.1589058000873265e-01 2.1543178937181814e-01 2.1492510073202234e-01 2.1436080865026971e-01 2.1373873328457407e-01 2.1303725165656845e-01 2.1225075954073563e-01 2.1136784477341772e-01 2.1037622634962594e-01 2.0926323955749598e-01 2.0801618158322718e-01 2.0662127674880362e-01 2.0507915623871420e-01 2.0336461918045826e-01 2.0148280004400146e-01 1.9943805419381466e-01 1.9724642157675762e-01 1.9493519162926537e-01 1.9255630498136575e-01 1.9018730222114477e-01 1.8795361397828941e-01 1.8601600530236873e-01 1.8462305868122417e-01 1.8412225479241412e-01 1.8501777526099775e-01 1.8804410741357419e-01 1.9431423258781472e-01 2.0559020054360341e-01 2.2483890460551889e-01 1.0589645175990207e-02 +3.4650233177881383e+01 2.6726807042903715e+00 2.6696665145810723e+00 2.6691020165725989e+00 2.6682546841808938e+00 2.6671619657210828e+00 2.6659602647606451e+00 2.6647432312359451e+00 2.6633842093678659e+00 2.6617006944585144e+00 2.6595836249298683e+00 2.6569681602883573e+00 2.6537744403479269e+00 2.6499024009464764e+00 2.6452366840345198e+00 2.6396481735943622e+00 2.6329873100311527e+00 2.6250752947214737e+00 2.6157024035811220e+00 2.6046269461188518e+00 2.5915722258757805e+00 2.5762238021399586e+00 2.5582224176086674e+00 2.5371023476531880e+00 2.5120581262788346e+00 2.4821392443889727e+00 2.4469922591022932e+00 2.4064168060464861e+00 2.3599708283468552e+00 2.3071328579313048e+00 2.2474144833309291e+00 2.1804113635018600e+00 2.1058492804553253e+00 2.0236344382680977e+00 1.9339056982733203e+00 1.8370837600110439e+00 1.7339098422105581e+00 1.6254661712021603e+00 1.5131694175623829e+00 1.3987308282032200e+00 1.2840796312332823e+00 1.1629786720837136e+00 1.0464719954555464e+00 9.3681058612129464e-01 8.3582529063277511e-01 7.4479299902359430e-01 6.6437355799954489e-01 5.9462401984854052e-01 5.3508097920521303e-01 4.8488998730234756e-01 4.4295203410271616e-01 4.0806627503792359e-01 3.7905342202079162e-01 3.5484082691584112e-01 3.3449031554566028e-01 3.1722758173110216e-01 3.0244272003300293e-01 2.8966108549680791e-01 2.7852459368440446e-01 2.6876108435618357e-01 2.6017136059428569e-01 2.5259605057820506e-01 2.4591870963156159e-01 2.4003715115856497e-01 2.3487902573259040e-01 2.3037301130084173e-01 2.2645914467232861e-01 2.2308979065438919e-01 2.2021466902527195e-01 2.1778308122235462e-01 2.1575679993403846e-01 2.1408856278209534e-01 2.1274034939492886e-01 2.1166929823931982e-01 2.1083617326994655e-01 2.1018856277815837e-01 2.0967622614339415e-01 2.0925905645685661e-01 2.0890031493998010e-01 2.0856605753597302e-01 2.0833092312688326e-01 2.0809394154812874e-01 2.0785232502819892e-01 2.0759932459353822e-01 2.0733834797689535e-01 2.0706214887852942e-01 2.0677867051195700e-01 2.0646458090116357e-01 2.0612843076553067e-01 2.0576403316183314e-01 2.0536655674494006e-01 2.0493013074662625e-01 2.0444814162022587e-01 2.0391135721823650e-01 2.0331960556834780e-01 2.0265231900006717e-01 2.0190416594043095e-01 2.0106429053542396e-01 2.0012101044306166e-01 1.9906227831989823e-01 1.9787601057875656e-01 1.9654910324180422e-01 1.9508215586627942e-01 1.9345119725704130e-01 1.9166111108152309e-01 1.8971604039782297e-01 1.8763124325751362e-01 1.8543267882146081e-01 1.8316975577052311e-01 1.8091623497999079e-01 1.7879143191544289e-01 1.7694827591161186e-01 1.7562323131701207e-01 1.7514684030693572e-01 1.7599870683310170e-01 1.7887751421085313e-01 1.8484198931302001e-01 1.9556828742895360e-01 2.1387867353793374e-01 1.0055850993336833e-02 +3.4706862091938675e+01 2.5468430969231322e+00 2.5439113179818729e+00 2.5433731386219529e+00 2.5425651873201232e+00 2.5415229022668027e+00 2.5403761264659250e+00 2.5392140884108225e+00 2.5379161695221173e+00 2.5363084347914784e+00 2.5342868142019510e+00 2.5317893674360832e+00 2.5287398451589027e+00 2.5250427240037530e+00 2.5205878767539427e+00 2.5152520420818933e+00 2.5088924481625408e+00 2.5013384153033331e+00 2.4923897470863272e+00 2.4818157441062612e+00 2.4693523071286014e+00 2.4546993323948993e+00 2.4375139704688618e+00 2.4173517970975849e+00 2.3934441571117411e+00 2.3648840203192036e+00 2.3313344713962159e+00 2.2926049233221990e+00 2.2482742520609573e+00 2.1978457594339988e+00 2.1408545817513516e+00 2.0769164143597427e+00 2.0057714775666473e+00 1.9273325023166348e+00 1.8417345161268432e+00 1.7493816532049009e+00 1.6509838748823089e+00 1.5475762603625054e+00 1.4405124321034837e+00 1.3314261852361480e+00 1.2221581112671638e+00 1.1067670324245027e+00 9.9577828756075915e-01 8.9133426307762098e-01 7.9517536675915546e-01 7.0851307534792995e-01 6.3197052309827018e-01 5.6559677261187857e-01 5.0894581949162288e-01 4.6120022685971090e-01 4.2131078459988386e-01 3.8813238631791391e-01 3.6054134760191298e-01 3.3751618385940158e-01 3.1816389395614481e-01 3.0174772978039016e-01 2.8768754889111087e-01 2.7553198268222984e-01 2.6494057661682413e-01 2.5565460775921606e-01 2.4748473644479541e-01 2.4027947989703055e-01 2.3392816256002008e-01 2.2833365077153800e-01 2.2342717439189078e-01 2.1914092824349937e-01 2.1541790182190917e-01 2.1221280318813590e-01 2.0947781995802225e-01 2.0716473687755232e-01 2.0523719816784858e-01 2.0365025204054876e-01 2.0236773410792108e-01 2.0134887418129174e-01 2.0055634874209149e-01 1.9994030006424854e-01 1.9945293593006166e-01 1.9905610235248619e-01 1.9871485004926445e-01 1.9839688939271241e-01 1.9817321938825358e-01 1.9794779239119556e-01 1.9771795648796153e-01 1.9747729173687295e-01 1.9722903970501182e-01 1.9696630757317254e-01 1.9669665039807971e-01 1.9639787501859193e-01 1.9607811472443046e-01 1.9573148423220094e-01 1.9535338776038152e-01 1.9493824078441183e-01 1.9447975221667341e-01 1.9396914021747866e-01 1.9340624034902237e-01 1.9277148895694704e-01 1.9205981391407395e-01 1.9126088867132604e-01 1.9036360048973341e-01 1.8935648942607458e-01 1.8822806106143608e-01 1.8696585050327169e-01 1.8557042726174308e-01 1.8401899006542058e-01 1.8231618398013363e-01 1.8046595006343219e-01 1.7848280242532255e-01 1.7639143452536865e-01 1.7423884600019857e-01 1.7209520147768215e-01 1.7007399814130469e-01 1.6832070991281056e-01 1.6706027126159276e-01 1.6660710807755280e-01 1.6741743969817216e-01 1.7015588341327553e-01 1.7582954523264188e-01 1.8603285543024028e-01 2.0345047120879547e-01 9.5488873578246664e-03 +3.4763491005995967e+01 2.4268975480900825e+00 2.4240457814958547e+00 2.4235327221466076e+00 2.4227623185600433e+00 2.4217681570715937e+00 2.4206738119328790e+00 2.4195643054134233e+00 2.4183247655801590e+00 2.4167894289312968e+00 2.4148589899816830e+00 2.4124742795317613e+00 2.4095624977656436e+00 2.4060324573665377e+00 2.4017790267426191e+00 2.3966845358266706e+00 2.3906126949700881e+00 2.3834005776629090e+00 2.3748570857717319e+00 2.3647620151072455e+00 2.3528632946694095e+00 2.3388745091146239e+00 2.3224684734076395e+00 2.3032210970631994e+00 2.2803988665623143e+00 2.2531362574323452e+00 2.2211121153907958e+00 2.1841451587823668e+00 2.1418342134098864e+00 2.0937061842205544e+00 2.0393186302841046e+00 1.9783063017047089e+00 1.9104231123766890e+00 1.8355879175554177e+00 1.7539319641267221e+00 1.6658434427702369e+00 1.5720023454893162e+00 1.4733986251673072e+00 1.3713256250926142e+00 1.2673431538096762e+00 1.1632071962003252e+00 1.0532585870314557e+00 9.4752814032242028e-01 8.4805483765738154e-01 7.5649307520650588e-01 6.7399223010660791e-01 6.0114071844909189e-01 5.3798025229987878e-01 4.8408163968701257e-01 4.3866289228227739e-01 4.0072237539255617e-01 3.6916816062074265e-01 3.4292956779600142e-01 3.2103385331769568e-01 3.0263102803437419e-01 2.8702009076227525e-01 2.7364921745715476e-01 2.6208918011083521e-01 2.5201629018986804e-01 2.4318460159302574e-01 2.3541414622032850e-01 2.2856094144169267e-01 2.2251979615288892e-01 2.1719838075908990e-01 2.1253132802807287e-01 2.0845417692189711e-01 2.0491272479876085e-01 2.0186390816089106e-01 1.9926226181946202e-01 1.9706193268398967e-01 1.9522834525679006e-01 1.9371874584229543e-01 1.9249873581723187e-01 1.9152953472373974e-01 1.9077563874456818e-01 1.9018962021460512e-01 1.8972601650821436e-01 1.8934853187816297e-01 1.8902391974922225e-01 1.8872146462844874e-01 1.8850870240685996e-01 1.8829426898512508e-01 1.8807564171518545e-01 1.8784671371327702e-01 1.8761056844926921e-01 1.8736064941320518e-01 1.8710414239641315e-01 1.8681993769676400e-01 1.8651577146912515e-01 1.8618604544309084e-01 1.8582638796344200e-01 1.8543148685138508e-01 1.8499535782250678e-01 1.8450964747168197e-01 1.8397419857455691e-01 1.8337040268266275e-01 1.8269343454438627e-01 1.8193347121615785e-01 1.8107994190625659e-01 1.8012194555156938e-01 1.7904854829545105e-01 1.7784789329225070e-01 1.7652052150653974e-01 1.7504474472770529e-01 1.7342498102984344e-01 1.7166497927730903e-01 1.6977854575928494e-01 1.6778916968731095e-01 1.6574155862005782e-01 1.6370245553864177e-01 1.6177982187842194e-01 1.6011203807600227e-01 1.5891306855617354e-01 1.5848200540889054e-01 1.5925281876653707e-01 1.6185771389717885e-01 1.6725468229127347e-01 1.7696039718971496e-01 1.9352858934169553e-01 9.0674097695043147e-03 +3.4820119920053259e+01 2.3125698684035805e+00 2.3097958048653342e+00 2.3093066813255367e+00 2.3085721017497507e+00 2.3076238630334922e+00 2.3065795642152440e+00 2.3055202333331848e+00 2.3043364692314632e+00 2.3028702979900926e+00 2.3010269624609738e+00 2.2987499409626144e+00 2.2959697290676444e+00 2.2925992799684405e+00 2.2885382329171389e+00 2.2836742574421902e+00 2.2778772541161336e+00 2.2709917001931452e+00 2.2628351856341742e+00 2.2531975277520719e+00 2.2418381402869221e+00 2.2284836768546019e+00 2.2128219067348223e+00 2.1944481501075104e+00 2.1726624409613007e+00 2.1466388761319548e+00 2.1160713310917307e+00 2.0807873801068872e+00 2.0404048615518273e+00 1.9944731712072166e+00 1.9425712191106559e+00 1.8843518760360383e+00 1.8195820424537827e+00 1.7481863185211577e+00 1.6702922270418847e+00 1.5862726152727420e+00 1.4967787423961936e+00 1.4027573708273062e+00 1.3054442138674474e+00 1.2063284056507266e+00 1.1070851733209817e+00 1.0023240546021763e+00 9.0160440164023747e-01 8.0686673874910719e-01 7.1968366300742104e-01 6.4114559965860785e-01 5.7180813479605563e-01 5.1170622620116613e-01 4.6042692166735105e-01 4.1722218196008287e-01 3.8113582098773890e-01 3.5112664436194369e-01 3.2617449707439278e-01 3.0535306773217058e-01 2.8785332075321418e-01 2.7300827751782597e-01 2.6029305747869108e-01 2.4929949259029524e-01 2.3971983853910991e-01 2.3132029789396666e-01 2.2392981225012171e-01 2.1741152931057636e-01 2.1166547174062950e-01 2.0660387734905819e-01 2.0216461408770525e-01 1.9828640077009335e-01 1.9491770486619620e-01 1.9201758210901768e-01 1.8954279973395102e-01 1.8744975155524238e-01 1.8570555553240858e-01 1.8426954901863532e-01 1.8310901330197618e-01 1.8218706095665047e-01 1.8146991952525274e-01 1.8091247346719061e-01 1.8047147667695776e-01 1.8011240153421146e-01 1.7980362157127122e-01 1.7951591901389516e-01 1.7931353485608439e-01 1.7910956111858387e-01 1.7890159814413703e-01 1.7868383690529230e-01 1.7845921045329421e-01 1.7822148224657125e-01 1.7797748678680614e-01 1.7770714515396266e-01 1.7741781568004769e-01 1.7710417316932614e-01 1.7676205920852889e-01 1.7638642073790428e-01 1.7597156537704647e-01 1.7550954734031485e-01 1.7500021630840815e-01 1.7442587259143005e-01 1.7378192584883126e-01 1.7305903228584171e-01 1.7224713673843980e-01 1.7133586988221686e-01 1.7031483119877011e-01 1.6917274235268268e-01 1.6791011718916046e-01 1.6650632644623703e-01 1.6496557225463776e-01 1.6329142061878985e-01 1.6149700438197961e-01 1.5960466699025380e-01 1.5765693523757121e-01 1.5571729662009409e-01 1.5388844570171784e-01 1.5230201387134068e-01 1.5116152828290139e-01 1.5075149189353290e-01 1.5148470615998255e-01 1.5396253838916374e-01 1.5909625075639333e-01 1.6832853566681910e-01 1.8408855580619554e-01 8.6101408820920180e-03 +3.4876748834110550e+01 2.2035985041681414e+00 2.2008999395035596e+00 2.2004336483069138e+00 2.1997332333801545e+00 2.1988288051117202e+00 2.1978322801165229e+00 2.1968208730311130e+00 2.1956903966653796e+00 2.1942903010681785e+00 2.1925301715056653e+00 2.1903560155321835e+00 2.1877014768008420e+00 2.1844834622707827e+00 2.1806061672478192e+00 2.1759623604294047e+00 2.1704278536790542e+00 2.1638541942192964e+00 2.1560672682439677e+00 2.1468664620561899e+00 2.1360221549825282e+00 2.1232734779203781e+00 2.1083224763132669e+00 2.0907829994388161e+00 2.0699871063488176e+00 2.0451467156006906e+00 2.0159700347606235e+00 1.9822930660374254e+00 1.9437517667593254e+00 1.8999169631906010e+00 1.8503878952807673e+00 1.7948346656525362e+00 1.7330364901775905e+00 1.6649233563653381e+00 1.5906191224463404e+00 1.5104818713159247e+00 1.4251353162758074e+00 1.3354848836482753e+00 1.2427111912546913e+00 1.1482358646396669e+00 1.0536570490354604e+00 9.5384029972952245e-01 8.5789550313089169e-01 7.6766943935811760e-01 6.8465691458221556e-01 6.0989239211389457e-01 5.4390041562765135e-01 4.8670974460627997e-01 4.3792310968126252e-01 3.9682498264062360e-01 3.6250259265623247e-01 3.3396314634520052e-01 3.1023464962779290e-01 2.9043502300932333e-01 2.7379422387277658e-01 2.5967765444630647e-01 2.4758606914097853e-01 2.3713133169431300e-01 2.2802086030246535e-01 2.2003240877341643e-01 2.1300338918522785e-01 2.0680372791370100e-01 2.0133840401176803e-01 1.9652399763779249e-01 1.9230145243570654e-01 1.8861251081861269e-01 1.8540817934770495e-01 1.8264952910504414e-01 1.8029545056785917e-01 1.7830447479357558e-01 1.7664533059335988e-01 1.7527934451403060e-01 1.7417539605681065e-01 1.7329839880722911e-01 1.7261622759603956e-01 1.7208596676733659e-01 1.7166647912721272e-01 1.7132491941913047e-01 1.7103120267125316e-01 1.7075753610533803e-01 1.7056502590126091e-01 1.7037100376789627e-01 1.7017318706747822e-01 1.6996605016186636e-01 1.6975238299105536e-01 1.6952625343118466e-01 1.6929416179922635e-01 1.6903700982972186e-01 1.6876179640951691e-01 1.6846345615219169e-01 1.6813803352850418e-01 1.6778072201110553e-01 1.6738610694412986e-01 1.6694663035300020e-01 1.6646214852836017e-01 1.6591582633951407e-01 1.6530329697022539e-01 1.6461567249929696e-01 1.6384338834410903e-01 1.6297658108892393e-01 1.6200535764694979e-01 1.6091899008328267e-01 1.5971796647969388e-01 1.5838266503016851e-01 1.5691708243424685e-01 1.5532461071889414e-01 1.5361774199388223e-01 1.5181772959618356e-01 1.4996502548584736e-01 1.4812001980338463e-01 1.4638039611702208e-01 1.4487136455625579e-01 1.4378652201980557e-01 1.4339649099787999e-01 1.4409393256191816e-01 1.4645087402041390e-01 1.5133411812372705e-01 1.6011597007824993e-01 1.7510707549543297e-01 8.1758671606612689e-03 +3.4933377748167842e+01 2.0997340870416976e+00 2.0971088188121705e+00 2.0966643021882567e+00 2.0959964787121557e+00 2.0951338443548049e+00 2.0941829293619985e+00 2.0932172948696852e+00 2.0921377284279901e+00 2.0908007553953554e+00 2.0891201071560119e+00 2.0870442073944528e+00 2.0845097070124705e+00 2.0814372884102030e+00 2.0777354977106781e+00 2.0733019730882867e+00 2.0680181712327199e+00 2.0617423904556449e+00 2.0543084388415291e+00 2.0455248394250689e+00 2.0351724412355918e+00 2.0230022873406668e+00 2.0087300516664084e+00 1.9919872707306379e+00 1.9721365747133006e+00 1.9484259853319081e+00 1.9205773766857581e+00 1.8884347714039236e+00 1.8516513937780552e+00 1.8098184897461118e+00 1.7625546564853642e+00 1.7095463827400985e+00 1.6505845626465003e+00 1.5856042342009082e+00 1.5147256531131033e+00 1.4382926965994358e+00 1.3569026713615981e+00 1.2714214438796483e+00 1.1829769612097676e+00 1.0929263661358257e+00 1.0027942324201542e+00 9.0769004265035191e-01 8.1629519570942510e-01 7.3036721711369623e-01 6.5132693579125767e-01 5.8015569313648774e-01 5.1734868266090206e-01 4.6292898374726421e-01 4.1651446849268864e-01 3.7742074062515946e-01 3.4477650069522964e-01 3.1763512933955879e-01 2.9507053875426753e-01 2.7624278445973210e-01 2.6041894939686683e-01 2.4699525364036920e-01 2.3549684119948278e-01 2.2555462934045328e-01 2.1689045518907663e-01 2.0929305559949221e-01 2.0260789547052466e-01 1.9671134545742314e-01 1.9151309626898153e-01 1.8693385640173293e-01 1.8291749352813891e-01 1.7940862505581845e-01 1.7636067201803171e-01 1.7373662203509815e-01 1.7149738496019329e-01 1.6960352476230239e-01 1.6802530250882652e-01 1.6672593702573291e-01 1.6567582828409641e-01 1.6484160331394382e-01 1.6419270422457047e-01 1.6368830842991575e-01 1.6328928523918843e-01 1.6296439013644529e-01 1.6268500483183687e-01 1.6242469233496920e-01 1.6224157635159106e-01 1.6205702231121585e-01 1.6186885891322869e-01 1.6167183014150124e-01 1.6146858977840928e-01 1.6125349531986882e-01 1.6103272917337830e-01 1.6078812602786091e-01 1.6052634281195746e-01 1.6024256132605946e-01 1.5993301906688895e-01 1.5959314406172184e-01 1.5921778588549076e-01 1.5879975552480124e-01 1.5833891559672675e-01 1.5781925347114584e-01 1.5723661501864547e-01 1.5658254604244190e-01 1.5584794870498939e-01 1.5502344091930145e-01 1.5409961237594172e-01 1.5306625879073246e-01 1.5192384376992463e-01 1.5065370396393574e-01 1.4925964064379435e-01 1.4774488031179481e-01 1.4612130547518404e-01 1.4440913232574878e-01 1.4264683879899678e-01 1.4089186816269578e-01 1.3923713648958611e-01 1.3780174458958130e-01 1.3676984160288663e-01 1.3639884395010957e-01 1.3706225088139024e-01 1.3930417523209387e-01 1.4394912045311570e-01 1.5230242441016714e-01 1.6656197401796741e-01 7.7634357050515657e-03 +3.4990006662225134e+01 2.0007386888756931e+00 1.9981846434939745e+00 1.9977608803492970e+00 1.9971241372191832e+00 1.9963013789660706e+00 1.9953940014320199e+00 1.9944720848829767e+00 1.9934411556713105e+00 1.9921644828628016e+00 1.9905597564972959e+00 1.9885777083568303e+00 1.9861578618911473e+00 1.9832245046589052e+00 1.9796903375160706e+00 1.9754576486724462e+00 1.9704132850941931e+00 1.9644219915541155e+00 1.9573251404387426e+00 1.9489399786130741e+00 1.9390573511560747e+00 1.9274396735621562e+00 1.9138156297060855e+00 1.8978336394048987e+00 1.8788855154799733e+00 1.8562537416782880e+00 1.8296732237064386e+00 1.7989956165702485e+00 1.7638905992479146e+00 1.7239688737952485e+00 1.6788674680276805e+00 1.6282884521098833e+00 1.5720337936597979e+00 1.5100432638278711e+00 1.4424335800455172e+00 1.3695349527925100e+00 1.2919193756252296e+00 1.2104148565366191e+00 1.1260989913955148e+00 1.0402673321772078e+00 9.5437423357347029e-01 8.6376158260008384e-01 7.7670229759462350e-01 6.9486892606959438e-01 6.1961194819277554e-01 5.5186228094915357e-01 4.9208736961101035e-01 4.4030509620303959e-01 3.9614794827984606e-01 3.5896133909657951e-01 3.2791358229820233e-01 3.0210210682027311e-01 2.8064458104036233e-01 2.6274119721665934e-01 2.4769438524537385e-01 2.3492969501260280e-01 2.2399547491356103e-01 2.1454076500490771e-01 2.0630111404246915e-01 1.9907570154711196e-01 1.9271764807703864e-01 1.8710945059444065e-01 1.8216527876483340e-01 1.7780976591358258e-01 1.7398955952654066e-01 1.7065201067291613e-01 1.6775283632977614e-01 1.6525684666866161e-01 1.6312687211247481e-01 1.6132541028118413e-01 1.5982417972105695e-01 1.5858819932387602e-01 1.5758931555221087e-01 1.5679578555095774e-01 1.5617854256823688e-01 1.5569875543493708e-01 1.5531920250511022e-01 1.5501016232252268e-01 1.5474441207924380e-01 1.5449680471097768e-01 1.5432262641914349e-01 1.5414708034765301e-01 1.5396810112535744e-01 1.5378068925622954e-01 1.5358736898290179e-01 1.5338277333855407e-01 1.5317278230797571e-01 1.5294011814401565e-01 1.5269111245733075e-01 1.5242118222211448e-01 1.5212674858112318e-01 1.5180346271717182e-01 1.5144642559468827e-01 1.5104879922422518e-01 1.5061045227746933e-01 1.5011615460338132e-01 1.4956195444442882e-01 1.4893981025037759e-01 1.4824106824625666e-01 1.4745680428237221e-01 1.4657806736442394e-01 1.4559515140378404e-01 1.4450849675529026e-01 1.4330035189862955e-01 1.4197433219399391e-01 1.4053350666302653e-01 1.3898917783523326e-01 1.3736057516055053e-01 1.3568429848219329e-01 1.3401498739980330e-01 1.3244102221111423e-01 1.3107569126069860e-01 1.3009415508791514e-01 1.2974126582101628e-01 1.3037229212025725e-01 1.3250478892157497e-01 1.3692301601799645e-01 1.4486859837818478e-01 1.5843214406619782e-01 7.3717512308116139e-03 +3.5046635576282426e+01 1.9063854544059331e+00 1.9039005670335407e+00 1.9034966149353665e+00 1.9028895056325925e+00 1.9021047998968961e+00 1.9012389774331468e+00 1.9003588159831393e+00 1.8993743516243295e+00 1.8981552817302800e+00 1.8966230757171949e+00 1.8947306703249664e+00 1.8924203327168732e+00 1.8896197929915659e+00 1.8862457194053963e+00 1.8822048405767475e+00 1.8773891505627993e+00 1.8716695496123386e+00 1.8648946328207767e+00 1.8568899764804989e+00 1.8474559693148596e+00 1.8363658837528578e+00 1.8233608229089346e+00 1.8081053222031958e+00 1.7900190511393530e+00 1.7684173883245449e+00 1.7430476653864864e+00 1.7137688002436657e+00 1.6802661521438991e+00 1.6421689607774730e+00 1.5991318019351239e+00 1.5508715615748665e+00 1.4972007067402289e+00 1.4380634428590735e+00 1.3735730152000345e+00 1.3040464872969662e+00 1.2300315889986513e+00 1.1523200993338198e+00 1.0719414819244590e+00 9.9013246183090375e-01 9.0828037606398693e-01 8.2194853414757296e-01 7.3902045417657525e-01 6.6108777926914086e-01 5.8943409303138239e-01 5.2494245010836826e-01 4.6805406385368048e-01 4.1878206842174676e-01 3.7677305596271443e-01 3.4140098129263308e-01 3.1187199476991606e-01 2.8732554463344917e-01 2.6692100510752631e-01 2.4989680092335176e-01 2.3558901494250076e-01 2.2345111022506070e-01 2.1305351160189806e-01 2.0406249640135485e-01 1.9622665223038818e-01 1.8935508735869802e-01 1.8330820033807360e-01 1.7797431208685696e-01 1.7327184997053696e-01 1.6912917862402604e-01 1.6549558821353277e-01 1.6232102905671336e-01 1.5956340134011027e-01 1.5718924838904288e-01 1.5516322720431097e-01 1.5344967462164766e-01 1.5202169552291972e-01 1.5084602112557141e-01 1.4989587398865387e-01 1.4914106207777447e-01 1.4855393732150463e-01 1.4809756322911430e-01 1.4773653445360019e-01 1.4744257867026428e-01 1.4718980079333366e-01 1.4695428100783675e-01 1.4678860596530680e-01 1.4662162999979203e-01 1.4645138852318043e-01 1.4627312609168891e-01 1.4608924370548229e-01 1.4589463653524681e-01 1.4569489687724876e-01 1.4547359135719157e-01 1.4523674210165086e-01 1.4497998982727606e-01 1.4469993039581358e-01 1.4439242729850346e-01 1.4405282066994876e-01 1.4367460647433575e-01 1.4325765917834268e-01 1.4278749302664595e-01 1.4226034881746866e-01 1.4166857758862705e-01 1.4100394804250307e-01 1.4025797170684337e-01 1.3942213457576436e-01 1.3848720453296445e-01 1.3745359984472871e-01 1.3630443645075935e-01 1.3504315285748189e-01 1.3367266826019528e-01 1.3220373340279204e-01 1.3065463895699567e-01 1.2906019796542259e-01 1.2747238263608068e-01 1.2597525799973863e-01 1.2467658242971273e-01 1.2374296480700421e-01 1.2340730369497124e-01 1.2400752334049242e-01 1.2603591172155462e-01 1.3023844116107475e-01 1.3779612072055822e-01 1.5069749433673313e-01 6.9997731998966651e-03 +3.5103264490339718e+01 1.8164580147777769e+00 1.8140403042422586e+00 1.8136552317952597e+00 1.8130763935556571e+00 1.8123279856167320e+00 1.8115018256409825e+00 1.8106615431418569e+00 1.8097214671092778e+00 1.8085574224111056e+00 1.8070944861964964e+00 1.8052877017931268e+00 1.8030819568241228e+00 1.8004082686294549e+00 1.7971870939095396e+00 1.7933294014273049e+00 1.7887321000339353e+00 1.7832719674794135e+00 1.7768044952754127e+00 1.7691632124161867e+00 1.7601576191691781e+00 1.7495713525650451e+00 1.7371573708520855e+00 1.7225955919663318e+00 1.7053322758804870e+00 1.6847141995567312e+00 1.6605005427647292e+00 1.6325571345504730e+00 1.6005842761539677e+00 1.5642288693835600e+00 1.5231621972188398e+00 1.4771152329725912e+00 1.4259103982588810e+00 1.3694960513440553e+00 1.3079820329918435e+00 1.2416727610737370e+00 1.1710927088241712e+00 1.0969989869853749e+00 1.0203750495187773e+00 9.4240143599961790e-01 8.6440152284583704e-01 7.8214957589554313e-01 7.0315790917810428e-01 6.2894114156611136e-01 5.6071924449874522e-01 4.9932984363342503e-01 4.4518935560979522e-01 3.9830658501754207e-01 3.5834173266039243e-01 3.2469607924489319e-01 2.9661191383147989e-01 2.7326876734592742e-01 2.5386576470755873e-01 2.3767774848424092e-01 2.2407284113267970e-01 2.1253107024353063e-01 2.0264386364621481e-01 1.9409389345965042e-01 1.8664214620742031e-01 1.8010717016063529e-01 1.7435628274564852e-01 1.6928334134162284e-01 1.6481082064049454e-01 1.6087063256887763e-01 1.5741457957737562e-01 1.5439508340006544e-01 1.5177212021116296e-01 1.4951388145970179e-01 1.4758676131190376e-01 1.4595684597731051e-01 1.4459855898687821e-01 1.4348026040211140e-01 1.4257648189447192e-01 1.4185850679527742e-01 1.4130003676037742e-01 1.4086593791730911e-01 1.4052253295776357e-01 1.4024292833145535e-01 1.4000249219104938e-01 1.3977847232551580e-01 1.3962088711369686e-01 1.3946206458061697e-01 1.3930013602376490e-01 1.3913057818722677e-01 1.3895567482081561e-01 1.3877057048142008e-01 1.3858058379723245e-01 1.3837008466763856e-01 1.3814480080192121e-01 1.3790058578094602e-01 1.3763420169061344e-01 1.3734171400836362e-01 1.3701869041033832e-01 1.3665894457165664e-01 1.3626235650387727e-01 1.3581514861075866e-01 1.3531374490295867e-01 1.3475086991924073e-01 1.3411869429838932e-01 1.3340914406319937e-01 1.3261412094985364e-01 1.3172484376359159e-01 1.3074170978692720e-01 1.2964866020068885e-01 1.2844896527419206e-01 1.2714540166107613e-01 1.2574819514682609e-01 1.2427474326801678e-01 1.2275815914045400e-01 1.2124787726226299e-01 1.1982385723266703e-01 1.1858859627967942e-01 1.1770056742176692e-01 1.1738129683078903e-01 1.1795220763140850e-01 1.1988154931289344e-01 1.2387886824982919e-01 1.3106750471469367e-01 1.4333890088201920e-01 6.6465130937221157e-03 +3.5159893404397010e+01 1.7307499624813658e+00 1.7283975400765950e+00 1.7280304713476429e+00 1.7274785878063399e+00 1.7267648194773069e+00 1.7259765186664733e+00 1.7251743215612094e+00 1.7242766490696966e+00 1.7231651662078245e+00 1.7217683935726007e+00 1.7200433872768235e+00 1.7179375374905776e+00 1.7153850004854074e+00 1.7123098504639476e+00 1.7086271050143698e+00 1.7042383658857014e+00 1.6990260228011276e+00 1.6928521520048203e+00 1.6855578753665832e+00 1.6769613919897519e+00 1.6668562333203336e+00 1.6550066740352809e+00 1.6411073145702391e+00 1.6246297962268648e+00 1.6049508653313100e+00 1.5818409986408282e+00 1.5551726014005423e+00 1.5246602130169518e+00 1.4899675628911566e+00 1.4507818403078621e+00 1.4068474128969892e+00 1.3579961397317835e+00 1.3041802669552534e+00 1.2455062997432906e+00 1.1822664936558196e+00 1.1149630317297878e+00 1.0443198510901242e+00 9.7127642637686307e-01 8.9695963600054307e-01 8.2263181498925764e-01 7.4426821098305496e-01 6.6902728659140254e-01 5.9835033222997003e-01 5.3339683183381881e-01 4.7496129309736318e-01 4.2343669429765290e-01 3.7882789952808893e-01 3.4080823698537993e-01 3.0880514782525653e-01 2.8209543677448029e-01 2.5989686906353127e-01 2.4144645596331307e-01 2.2605372869117385e-01 2.1311731274029061e-01 2.0214251634254493e-01 1.9274074878381101e-01 1.8461027545003350e-01 1.7752387309753395e-01 1.7130906519511463e-01 1.6583974656492306e-01 1.6101503768128553e-01 1.5676126053922937e-01 1.5301369937596637e-01 1.4972654493883431e-01 1.4685456880609771e-01 1.4435972116269552e-01 1.4221176070454250e-01 1.4037873371069629e-01 1.3882839029085603e-01 1.3753640822976418e-01 1.3647269700421219e-01 1.3561303365929284e-01 1.3493010509242298e-01 1.3439889706994340e-01 1.3398599073028286e-01 1.3365935281261598e-01 1.3339340158547680e-01 1.3316470707272660e-01 1.3295162790845200e-01 1.3280173911983956e-01 1.3265067351454871e-01 1.3249665361502436e-01 1.3233537706307141e-01 1.3216901606064757e-01 1.3199295241671768e-01 1.3181224443140532e-01 1.3161202617071679e-01 1.3139774526271297e-01 1.3116545780090327e-01 1.3091208401178836e-01 1.3063388153626276e-01 1.3032663452670387e-01 1.2998445891234425e-01 1.2960724001079454e-01 1.2918187390354560e-01 1.2870495892294370e-01 1.2816957494417397e-01 1.2756827499692844e-01 1.2689337944089893e-01 1.2613718553703193e-01 1.2529134107740775e-01 1.2435622341040720e-01 1.2331655878481045e-01 1.2217545743178311e-01 1.2093556039492355e-01 1.1960659403034843e-01 1.1820510617325100e-01 1.1676259268063018e-01 1.1532607374619222e-01 1.1397160321457249e-01 1.1279667298357540e-01 1.1195201587801801e-01 1.1164833872016772e-01 1.1219136598375623e-01 1.1402647767460809e-01 1.1782856563482057e-01 1.2466610581143986e-01 1.3633816077782193e-01 6.3110318215393061e-03 +3.5216522318454302e+01 1.6490645328581492e+00 1.6467755569590345e+00 1.6464256406284998e+00 1.6458994620115095e+00 1.6452187365726894e+00 1.6444665720844622e+00 1.6437007469014366e+00 1.6428435810368636e+00 1.6417823060035666e+00 1.6404487287153877e+00 1.6388018286373245e+00 1.6367913857109107e+00 1.6343545534771333e+00 1.6314188603618822e+00 1.6279031900233814e+00 1.6237136251373498e+00 1.6187379137712887e+00 1.6128444191836004e+00 1.6058815124327466e+00 1.5976756972961088e+00 1.5880299505875941e+00 1.5767193489855955e+00 1.5634525070035343e+00 1.5477252926597531e+00 1.5289430571347860e+00 1.5068870484426489e+00 1.4814359291532986e+00 1.4523178058722264e+00 1.4192124401555681e+00 1.3818221647410103e+00 1.3399040822415165e+00 1.2932989984351377e+00 1.2419627979265040e+00 1.1859987202349380e+00 1.1256873246009163e+00 1.0615094311860029e+00 9.9415723488698637e-01 9.2452817306671287e-01 8.5369787528760999e-01 7.8287042265765039e-01 7.0821253883176738e-01 6.3654538288605667e-01 5.6924043687181181e-01 5.0739966984186546e-01 4.5177666630611107e-01 4.0274225171245698e-01 3.6029771132464633e-01 3.2412903390000736e-01 2.9368870383928886e-01 2.6828649023398782e-01 2.4717662850167094e-01 2.2963223855656989e-01 2.1499589253892368e-01 2.0269525560297050e-01 1.9225969439914997e-01 1.8331962752968542e-01 1.7558815110208809e-01 1.6884925315330485e-01 1.6293899032579998e-01 1.5773751013400047e-01 1.5314893622138562e-01 1.4910324770516348e-01 1.4553893474875740e-01 1.4241245850092177e-01 1.3968082476915508e-01 1.3730786075939569e-01 1.3526481549079386e-01 1.3352130644873098e-01 1.3204666632828549e-01 1.3081776590444955e-01 1.2980598849589184e-01 1.2898829587307928e-01 1.2833871017825765e-01 1.2783343884703430e-01 1.2744069465989136e-01 1.2713000847717598e-01 1.2687704666624119e-01 1.2665952272332809e-01 1.2645685211559177e-01 1.2631428538967551e-01 1.2617059940478526e-01 1.2602410347314022e-01 1.2587070539068385e-01 1.2571247123776194e-01 1.2554500852935713e-01 1.2537312792967439e-01 1.2518269046004918e-01 1.2497887730877349e-01 1.2475793723105599e-01 1.2451694090222075e-01 1.2425232877931740e-01 1.2396009096127203e-01 1.2363463092336124e-01 1.2327583906023300e-01 1.2287125232209059e-01 1.2241763490033103e-01 1.2190840472355953e-01 1.2133647861097722e-01 1.2069455207913861e-01 1.1997529867380147e-01 1.1917077430205895e-01 1.1828133737546133e-01 1.1729246098450853e-01 1.1620710312338930e-01 1.1502777582181969e-01 1.1376373029956276e-01 1.1243070602097416e-01 1.1105866025055887e-01 1.0969231630773886e-01 1.0840401229041670e-01 1.0728647819791694e-01 1.0648308317247411e-01 1.0619424095226269e-01 1.0671074097825829e-01 1.0845620617898874e-01 1.1207255951395916e-01 1.1857608128676675e-01 1.2967794799726914e-01 5.9924372574455681e-03 +3.5273151232511594e+01 1.5712140272746273e+00 1.5689866763938831e+00 1.5686531372499897e+00 1.5681514899109448e+00 1.5675022777566123e+00 1.5667846054709029e+00 1.5660535165969562e+00 1.5652350445582999e+00 1.5642217278807322e+00 1.5629485096357847e+00 1.5613762073440134e+00 1.5594568828634703e+00 1.5571305517024707e+00 1.5543280405550188e+00 1.5509719245694995e+00 1.5469725648771298e+00 1.5422228256135582e+00 1.5365970726889775e+00 1.5299505980882617e+00 1.5221178338088184e+00 1.5129107731974174e+00 1.5021148036971805e+00 1.4894519156552315e+00 1.4744411012779903e+00 1.4565150137082823e+00 1.4354651707341572e+00 1.4111761886670118e+00 1.3833891016975626e+00 1.3517989453629344e+00 1.3161224692449114e+00 1.2761288836968054e+00 1.2316674754672543e+00 1.1826975329128593e+00 1.1293191005866461e+00 1.0718014906048752e+00 1.0106050500130874e+00 9.4639160220980589e-01 8.8001840479781812e-01 8.1251214371314551e-01 7.4502130773796249e-01 6.7389503761584635e-01 6.0563296900226582e-01 5.4154012825402520e-01 4.8266379744325100e-01 4.2971872220808166e-01 3.8305479171180284e-01 3.4267004838245957e-01 3.0826268887112185e-01 2.7930916993972027e-01 2.5515074236494828e-01 2.3507642810936291e-01 2.1839376067541558e-01 2.0447678305466110e-01 1.9278080641234047e-01 1.8285809231971259e-01 1.7435714358254870e-01 1.6700516157798589e-01 1.6059679496052248e-01 1.5497621318814728e-01 1.5002950772235263e-01 1.4566555823000363e-01 1.4181782013177072e-01 1.3842783130719066e-01 1.3545421120711917e-01 1.3285608991796377e-01 1.3059907942362753e-01 1.2865584590210194e-01 1.2699750108450156e-01 1.2559488289371651e-01 1.2442599681006185e-01 1.2346362809202840e-01 1.2268586552716239e-01 1.2206800149257598e-01 1.2158740567444955e-01 1.2121384316122163e-01 1.2091833287584790e-01 1.2067772864627901e-01 1.2047083186700072e-01 1.2027806343999377e-01 1.2014246254572368e-01 1.2000579714593992e-01 1.1986645912275296e-01 1.1972055620228174e-01 1.1957005350699437e-01 1.1941077327127758e-01 1.1924729059958508e-01 1.1906615806111864e-01 1.1887230338418107e-01 1.1866215861261828e-01 1.1843293755045953e-01 1.1818125457651453e-01 1.1790329571654849e-01 1.1759373799654727e-01 1.1725247666884721e-01 1.1686765833364821e-01 1.1643620498889508e-01 1.1595185616890864e-01 1.1540787478372889e-01 1.1479731325392138e-01 1.1411320310324370e-01 1.1334798849202286e-01 1.1250200984284529e-01 1.1156145071543812e-01 1.1052912428907313e-01 1.0940741985646397e-01 1.0820513661735534e-01 1.0693724499438446e-01 1.0563223851608373e-01 1.0433265537115871e-01 1.0310729871583700e-01 1.0204436829512475e-01 1.0128022784536710e-01 1.0100549880041525e-01 1.0149676220490483e-01 1.0315694244483382e-01 1.0659659761396900e-01 1.1278235181495291e-01 1.2334177138680372e-01 5.6898818996695801e-03 +3.5329780146568886e+01 1.4970194922371904e+00 1.4948520198322610e+00 1.4945340809652554e+00 1.4940558135123581e+00 1.4934366752665025e+00 1.4927519255593014e+00 1.4920540111939653e+00 1.4912725006257619e+00 1.4903049927634002e+00 1.4890894233913483e+00 1.4875883666955489e+00 1.4857560633414530e+00 1.4835352615625630e+00 1.4808599373611653e+00 1.4776561906173227e+00 1.4738384675156273e+00 1.4693045168492602e+00 1.4639344355650197e+00 1.4575901230559074e+00 1.4501135800042013e+00 1.4413254067670402e+00 1.4310208324646401e+00 1.4189346138636529e+00 1.4046078145963532e+00 1.3874991457187429e+00 1.3674099164645233e+00 1.3442304078702130e+00 1.3177139719830910e+00 1.2875701956984245e+00 1.2535295533653423e+00 1.2153727663779768e+00 1.1729571605031768e+00 1.1262452070114410e+00 1.0753338267174284e+00 1.0204815175723805e+00 9.6212900715665506e-01 9.0090905996632231e-01 8.3764053045199860e-01 7.7330336373298314e-01 7.0899299760280066e-01 6.4123235695352698e-01 5.7621460167915117e-01 5.1518149556760517e-01 4.5912832386908303e-01 4.0873297269140152e-01 3.6432554610211565e-01 3.2590115563895006e-01 2.9316976707100606e-01 2.6563078311890814e-01 2.4265551920749379e-01 2.2356617705426943e-01 2.0770308754395891e-01 1.9447026847731400e-01 1.8334934980709311e-01 1.7391438045005425e-01 1.6583106707068915e-01 1.5884002616401494e-01 1.5274604325076013e-01 1.4740100085820909e-01 1.4269664082584224e-01 1.3854636385430463e-01 1.3488692975089975e-01 1.3166277367643170e-01 1.2883456679746577e-01 1.2636345891704098e-01 1.2421675906849050e-01 1.2236848100176999e-01 1.2079115748647060e-01 1.1945705808145457e-01 1.1834526752335733e-01 1.1742990460063785e-01 1.1669013020815756e-01 1.1610244509952482e-01 1.1564532466981825e-01 1.1529001082147264e-01 1.1500893816388681e-01 1.1478009027969416e-01 1.1458330357641829e-01 1.1439995548219482e-01 1.1427098144389046e-01 1.1414099498569762e-01 1.1400846654323178e-01 1.1386969404468272e-01 1.1372654656803091e-01 1.1357505061277583e-01 1.1341955721320177e-01 1.1324727679676541e-01 1.1306289598150909e-01 1.1286302118058478e-01 1.1264500236161626e-01 1.1240561936169420e-01 1.1214124459883822e-01 1.1184681533269762e-01 1.1152223146267916e-01 1.1115621953550883e-01 1.1074585169143841e-01 1.1028517342051483e-01 1.0976777688106870e-01 1.0918705402972102e-01 1.0853637694775410e-01 1.0780855915008544e-01 1.0700392397066411e-01 1.0610933082889573e-01 1.0512745515188754e-01 1.0406056946774889e-01 1.0291704295282944e-01 1.0171111441244296e-01 1.0046988486899693e-01 9.9233813712014923e-02 9.8068341201069650e-02 9.7057357252573584e-02 9.6330561117345601e-02 9.6069258447641193e-02 9.6536513329431278e-02 9.8115558865603650e-02 1.0138711460249146e-01 1.0727056487422405e-01 1.1731393464467726e-01 5.4025606460860777e-03 +3.5386409060626178e+01 1.4263102099076486e+00 1.4242009440509262e+00 1.4238978910684379e+00 1.4234419133088188e+00 1.4228514550317073e+00 1.4221981276419375e+00 1.4215318947700657e+00 1.4207856902113101e+00 1.4198619371404553e+00 1.4187014270597516e+00 1.4172684131181017e+00 1.4155192162286172e+00 1.4133991939034090e+00 1.4108453291770839e+00 1.4077870873754719e+00 1.4041428149967015e+00 1.3998149244653999e+00 1.3946889843322867e+00 1.3886332019670984e+00 1.3814968033767159e+00 1.3731086048397343e+00 1.3632732292402971e+00 1.3517376178830058e+00 1.3380639006035993e+00 1.3217356585386666e+00 1.3025635361236558e+00 1.2804432039824927e+00 1.2551397508013897e+00 1.2263766261009568e+00 1.1938973698384259e+00 1.1574936468121817e+00 1.1170304024474744e+00 1.0724730831859757e+00 1.0239155576772820e+00 9.7160592694202175e-01 9.1596611807856720e-01 8.5760109353857328e-01 7.9729300378983403e-01 7.3597715801750141e-01 6.7469836947307693e-01 6.1014512034668533e-01 5.4821844367656769e-01 4.9009988178237107e-01 4.3673528214816598e-01 3.8876755094774407e-01 3.4650809642997532e-01 3.0994938866665650e-01 2.7881273739007278e-01 2.5261950757280383e-01 2.3076972504741219e-01 2.1261723788497605e-01 1.9753363336523433e-01 1.8495147862465972e-01 1.7437745846635264e-01 1.6540635482966051e-01 1.5772024050723094e-01 1.5107249055130917e-01 1.4527752920470741e-01 1.4019457192116047e-01 1.3572073178429087e-01 1.3177370709913541e-01 1.2829339860916775e-01 1.2522699571682711e-01 1.2253711995933080e-01 1.2018684142059688e-01 1.1814508274938641e-01 1.1638713908335210e-01 1.1488689459567750e-01 1.1361798047191442e-01 1.1256050795358563e-01 1.1168986427375578e-01 1.1098623018858954e-01 1.1042725596847713e-01 1.0999246891467586e-01 1.0965451590465641e-01 1.0938717836273379e-01 1.0916951471199436e-01 1.0898234604752348e-01 1.0880795978279463e-01 1.0868529004853993e-01 1.0856165744131116e-01 1.0843560712890710e-01 1.0830361798451757e-01 1.0816746771673849e-01 1.0802337714305062e-01 1.0787548415910696e-01 1.0771162499476659e-01 1.0753625690893846e-01 1.0734615219638569e-01 1.0713879036100002e-01 1.0691110864459895e-01 1.0665965678482629e-01 1.0637961960368678e-01 1.0607090144603518e-01 1.0572278054175384e-01 1.0533247188088017e-01 1.0489431201627870e-01 1.0440220632927995e-01 1.0384986978553602e-01 1.0323099844757157e-01 1.0253875720190504e-01 1.0177345314897616e-01 1.0092258863839673e-01 9.9988708063468379e-02 9.8973972871254701e-02 9.7886343145667118e-02 9.6739361685392711e-02 9.5558804785889365e-02 9.4383154217171777e-02 9.3274651050124988e-02 9.2313085119725746e-02 9.1621815593346423e-02 9.1373285775646226e-02 9.1817700730275953e-02 9.3319560732799553e-02 9.6431199148568555e-02 1.0202705989559870e-01 1.1157949820742825e-01 5.1297086802115652e-03 +3.5443037974683470e+01 1.3589234447149539e+00 1.3568707210880544e+00 1.3565818625949979e+00 1.3561471442653426e+00 1.3555840512461386e+00 1.3549607126618157e+00 1.3543247335346866e+00 1.3536122530280272e+00 1.3527302920239408e+00 1.3516223669434539e+00 1.3502543356611614e+00 1.3485845051670757e+00 1.3465607243358098e+00 1.3441228473343174e+00 1.3412035527920754e+00 1.3377249110745544e+00 1.3335937871138135e+00 1.3287009732872535e+00 1.3229206989647078e+00 1.3161090875573853e+00 1.3081027978159858e+00 1.2987154186785528e+00 1.2877055204218990e+00 1.2746553392619679e+00 1.2590721922902992e+00 1.2407756239764116e+00 1.2196664326114064e+00 1.1955208894946379e+00 1.1680756503507552e+00 1.1370866929483621e+00 1.1023560855326564e+00 1.0637559952740197e+00 1.0212546484094287e+00 9.7494293315080127e-01 9.2505895563320739e-01 8.7200662812621610e-01 8.1636431449228197e-01 7.5887908625852674e-01 7.0044362792934312e-01 6.4205444489524388e-01 5.8055773690970647e-01 5.2157609247773207e-01 4.6623372868739021e-01 4.1542948953638192e-01 3.6977308608775400e-01 3.2955826139973493e-01 2.9477511242178800e-01 2.6515588102594417e-01 2.4024295172479868e-01 2.1946376657956498e-01 2.0220235669490655e-01 1.8786009651294247e-01 1.7589674430054195e-01 1.6584283606381645e-01 1.5731288315264091e-01 1.5000452732145797e-01 1.4368327758564170e-01 1.3817272312464793e-01 1.3333905082566197e-01 1.2908447961030295e-01 1.2533079295307503e-01 1.2202087713462555e-01 1.1910453979184023e-01 1.1654625647371447e-01 1.1431092298478984e-01 1.1236899624020959e-01 1.1069698981875016e-01 1.0927007306015234e-01 1.0806317217654454e-01 1.0705737473094262e-01 1.0622927447832706e-01 1.0556002232514175e-01 1.0502836205390402e-01 1.0461482167496733e-01 1.0429338468160490e-01 1.0403911377675516e-01 1.0383208996767500e-01 1.0365407114707706e-01 1.0348821042783121e-01 1.0337153807728831e-01 1.0325394998534608e-01 1.0313406241556637e-01 1.0300852637754980e-01 1.0287903265931587e-01 1.0274198693127651e-01 1.0260132435087527e-01 1.0244547645008366e-01 1.0227868230900858e-01 1.0209787202861620e-01 1.0190064834227056e-01 1.0168409823324769e-01 1.0144494012622354e-01 1.0117859434805848e-01 1.0088496949611021e-01 1.0055386859235117e-01 1.0018264253551155e-01 9.9765904771039707e-02 9.9297858654063306e-02 9.8772526433442892e-02 9.8183912379871535e-02 9.7525515640255217e-02 9.6797627894645244e-02 9.5988363089566625e-02 9.5100140977845415e-02 9.4135017333133869e-02 9.3100563063528249e-02 9.2009658846063977e-02 9.0886820743499130e-02 8.9768649182478386e-02 8.8714341818762088e-02 8.7799787989381997e-02 8.7142315457798575e-02 8.6905936641016410e-02 8.7328623630162833e-02 8.8757055879886929e-02 9.1716562554003997e-02 9.7038835073950960e-02 1.0612424295349003e-01 4.8705994622158400e-03 +3.5499666888740762e+01 1.2947039445881261e+00 1.2927062061981613e+00 1.2924308500613912e+00 1.2920164355441270e+00 1.2914794370266836e+00 1.2908847213839540e+00 1.2902776318299842e+00 1.2895973637016627e+00 1.2887553193196886e+00 1.2876976151609092e+00 1.2863916428864832e+00 1.2847976055961694e+00 1.2828657308978706e+00 1.2805386142814357e+00 1.2777520023707172e+00 1.2744315208561829e+00 1.2704882855430453e+00 1.2658180759734698e+00 1.2603008704031240e+00 1.2537993764969584e+00 1.2461577388462721e+00 1.2371981040621487e+00 1.2266901409460691e+00 1.2142352756508019e+00 1.1993634783891325e+00 1.1819027786122189e+00 1.1617588529474860e+00 1.1387186272071836e+00 1.1125313377169384e+00 1.0829648021478604e+00 1.0498309785682809e+00 1.0130088783571578e+00 9.7246932384135221e-01 9.2830029451027207e-01 8.8073028896314198e-01 8.3014595829331361e-01 7.7710022003321577e-01 7.2230662087544073e-01 6.6661714236776204e-01 6.1098219386069152e-01 5.5239822196020316e-01 4.9622241707238790e-01 4.4352442926427005e-01 3.9515841457229267e-01 3.5170258371980118e-01 3.1343398965385810e-01 2.8034060481536482e-01 2.5216520443870122e-01 2.2847028921209070e-01 2.0870948069522655e-01 1.9229559662504989e-01 1.7865839781996540e-01 1.6728353959395711e-01 1.5772426294586980e-01 1.4961385330991242e-01 1.4266476284855495e-01 1.3665404036474296e-01 1.3141398936518323e-01 1.2681742441544491e-01 1.2277141792480833e-01 1.1920163655927034e-01 1.1605380439314102e-01 1.1328021797978693e-01 1.1084711526250314e-01 1.0872112784339143e-01 1.0687417144158269e-01 1.0528391820948368e-01 1.0392675965008723e-01 1.0277885364579423e-01 1.0182221634073932e-01 1.0103458909905549e-01 1.0039804567933268e-01 9.9892370087677151e-02 9.9499042328085041e-02 9.9193317461321040e-02 9.8951477107920779e-02 9.8754575131974526e-02 9.8585260652688175e-02 9.8427510342562682e-02 9.8316543333015705e-02 9.8204705415590704e-02 9.8090680489146001e-02 9.7971283318381716e-02 9.7848122003740073e-02 9.7717778062539562e-02 9.7583993809104472e-02 9.7435767057331507e-02 9.7277129346604499e-02 9.7105160899345414e-02 9.6917581677728834e-02 9.6711621114939764e-02 9.6484158108112603e-02 9.6230837016412205e-02 9.5951570505108483e-02 9.5636660801775658e-02 9.5283588109067771e-02 9.4887229281746477e-02 9.4442071138184591e-02 9.3942428247536333e-02 9.3382598079835427e-02 9.2756397760994133e-02 9.2064104322913093e-02 9.1294413496921314e-02 9.0449626477381320e-02 8.9531698510239566e-02 8.8547830279170694e-02 8.7510272581636864e-02 8.6442342616017076e-02 8.5378851074768752e-02 8.4376100419747108e-02 8.3506269400630329e-02 8.2880948092686341e-02 8.2656128569994589e-02 8.3058145653242876e-02 8.4416725773208093e-02 8.7231508881089742e-02 9.2293515761933217e-02 1.0093463563786167e-01 4.6245428197531609e-03 +3.5556295802798054e+01 1.2335037303799672e+00 1.2315594133051477e+00 1.2312969557336109e+00 1.2309018877157345e+00 1.2303897869866181e+00 1.2298223875505057e+00 1.2292428847878891e+00 1.2285933845767525e+00 1.2277894648055176e+00 1.2267797228503501e+00 1.2255330163380000e+00 1.2240113585648231e+00 1.2221672482780337e+00 1.2199458983041154e+00 1.2172859844741550e+00 1.2141165268281802e+00 1.2103526994608300e+00 1.2058950430517488e+00 1.2006290239160382e+00 1.1944236349142647e+00 1.1871301659431821e+00 1.1785789313470538e+00 1.1685501920047556e+00 1.1566636890002229e+00 1.1424710118280235e+00 1.1258082790572819e+00 1.1065858083149165e+00 1.0846006765531486e+00 1.0596141044810068e+00 1.0314051802307498e+00 9.9979526314550782e-01 9.6466985062450117e-01 9.2600218839391923e-01 8.8387741876883552e-01 8.3851480596124006e-01 7.9028446279371878e-01 7.3971496367129608e-01 6.8748781666597325e-01 6.3441613649351869e-01 5.8140634811919290e-01 5.2559802604836181e-01 4.7209540244394832e-01 4.2191618704430822e-01 3.7587205043213917e-01 3.3451131220446645e-01 2.9809525765887435e-01 2.6660996488700811e-01 2.3980835646095483e-01 2.1727218364788151e-01 1.9848006571962395e-01 1.8287227454257204e-01 1.6990562181563013e-01 1.5909042693723832e-01 1.5000154440319102e-01 1.4229012438653291e-01 1.3568270765720805e-01 1.2996731757606367e-01 1.2498454341498867e-01 1.2061350053502592e-01 1.1676587490062111e-01 1.1337102433395484e-01 1.1037737024134227e-01 1.0773957513564601e-01 1.0542555224553743e-01 1.0340358345960392e-01 1.0164697153474804e-01 1.0013449025942349e-01 9.8843693372166058e-02 9.7751910156405400e-02 9.6842039921293435e-02 9.6092915592444483e-02 9.5487488777744198e-02 9.5006533004707627e-02 9.4632433915973813e-02 9.4341656243317751e-02 9.4111641186264014e-02 9.3924368145451603e-02 9.3763334102828957e-02 9.3613299192635280e-02 9.3507759641111285e-02 9.3401391828900018e-02 9.3292943997273128e-02 9.3179386691022936e-02 9.3062249350645707e-02 9.2938280771267881e-02 9.2811039838468279e-02 9.2670063036398492e-02 9.2519184485272771e-02 9.2355627216895234e-02 9.2177222712720414e-02 9.1981335917283233e-02 9.1764998384554083e-02 9.1524067589709712e-02 9.1258460088791238e-02 9.0958952971215451e-02 9.0623149458141788e-02 9.0246176983751841e-02 8.9822792023505335e-02 8.9347587228550296e-02 8.8815138987577272e-02 8.8219566913912487e-02 8.7561134124612972e-02 8.6829089770923726e-02 8.6025622275323801e-02 8.5152591252458665e-02 8.4216845193386236e-02 8.3230035695549542e-02 8.2214339485234780e-02 8.1202864688652066e-02 8.0249159607055420e-02 7.9421873106499341e-02 7.8827137048228940e-02 7.8613313802814194e-02 7.8995667738429143e-02 8.0287797982941833e-02 8.2964906504878005e-02 8.7779324372174103e-02 9.5997795976169503e-02 4.3908831336730552e-03 +3.5612924716855346e+01 1.1751816578392373e+00 1.1732892724301487e+00 1.1730391096615609e+00 1.1726624793763789e+00 1.1721741371325396e+00 1.1716328072773214e+00 1.1710796469088711e+00 1.1704595343900830e+00 1.1696920269808839e+00 1.1687280892272180e+00 1.1675379798731531e+00 1.1660854403763641e+00 1.1643251378546065e+00 1.1622047840334004e+00 1.1596658514066895e+00 1.1566406006129428e+00 1.1530480801011223e+00 1.1487933758266762e+00 1.1437671930683451e+00 1.1378445243002617e+00 1.1308834795520650e+00 1.1227221685860489e+00 1.1131509608409746e+00 1.1018070768954236e+00 1.0882627384840287e+00 1.0723617757506532e+00 1.0540189214018081e+00 1.0330409237367126e+00 1.0092004196410742e+00 9.8228722540726499e-01 9.5213163696152425e-01 9.1862529791166803e-01 8.8174371508359717e-01 8.4156926486049854e-01 7.9831233649267130e-01 7.5232719790575553e-01 7.0411913657158798e-01 6.5433904317156799e-01 6.0376291988594288e-01 5.5325522325413501e-01 5.0009187204209948e-01 4.4913600140159610e-01 4.0135588212832962e-01 3.5752279430282152e-01 3.1815669431951971e-01 2.8350397245907993e-01 2.5354902535947366e-01 2.2805454936834327e-01 2.0662071697901982e-01 1.8875001593824892e-01 1.7390890074889065e-01 1.6157996077287490e-01 1.5129700478762637e-01 1.4265546141492141e-01 1.3532348000138536e-01 1.2904100310764571e-01 1.2360649096648098e-01 1.1886841102696215e-01 1.1471186861197431e-01 1.1105293511671273e-01 1.0782447694139471e-01 1.0497747928604810e-01 1.0246885371560684e-01 1.0026810592384888e-01 9.8345086769870693e-02 9.6674417798959605e-02 9.5235920284813688e-02 9.4008253200325326e-02 9.2969859897402987e-02 9.2104479646530943e-02 9.1391983612421276e-02 9.0816158435266914e-02 9.0358718921659448e-02 9.0002912245910963e-02 8.9726353913854626e-02 8.9507588241204888e-02 8.9329475136459113e-02 8.9176318181392253e-02 8.9033622817927913e-02 8.8933246318107964e-02 8.8832082124310513e-02 8.8728939687425956e-02 8.8620937743888684e-02 8.8509530906525857e-02 8.8391627095258427e-02 8.8270610723030621e-02 8.8136530673765562e-02 8.7993033278076435e-02 8.7837477420204216e-02 8.7667800667751553e-02 8.7481496875035689e-02 8.7275742815691407e-02 8.7046598694766358e-02 8.6793984789220902e-02 8.6509129888698216e-02 8.6189754251566331e-02 8.5831223684008348e-02 8.5428551181488024e-02 8.4976593929743521e-02 8.4470193648248745e-02 8.3903757697110767e-02 8.3277535975695455e-02 8.2581304067307515e-02 8.1817143127651454e-02 8.0986821798848460e-02 8.0096853537344248e-02 7.9158319931627766e-02 7.8192312796304730e-02 7.7230320632191429e-02 7.6323271772562040e-02 7.5536457141345811e-02 7.4970816305102689e-02 7.4767453625338626e-02 7.5131102346094283e-02 7.6360019967600973e-02 7.8906161024144425e-02 8.3485051715331354e-02 9.1301465299711795e-02 4.1689976139140271e-03 +3.5669553630912638e+01 1.1196031500313304e+00 1.1177612355301276e+00 1.1175227952752329e+00 1.1171637561392309e+00 1.1166980712920651e+00 1.1161816223542902e+00 1.1156536157978210e+00 1.1150615721233124e+00 1.1143288410578958e+00 1.1134086457747956e+00 1.1122725841035268e+00 1.1108860473460123e+00 1.1092057728234046e+00 1.1071818580337760e+00 1.1047584455447157e+00 1.1018708897461180e+00 1.0984419377757533e+00 1.0943810147065116e+00 1.0895838269047768e+00 1.0839310937435764e+00 1.0772874348935908e+00 1.0694984000513486e+00 1.0603640055894812e+00 1.0495381539538211e+00 1.0366127567773396e+00 1.0214389957033734e+00 1.0039358034789951e+00 9.8391914244284007e-01 9.6117252416055654e-01 9.3549597663800521e-01 9.0672829039924552e-01 8.7476693289885654e-01 8.3958951957051964e-01 8.0127573167359800e-01 7.6002742966183379e-01 7.1618370157354405e-01 6.7022755909148313e-01 6.2278063456104682e-01 5.7458349368045913e-01 5.2646054911912543e-01 4.7581759988145422e-01 4.2728799340701495e-01 3.8179294354715748e-01 3.4006533247637905e-01 3.0259820408076848e-01 2.6962387906363727e-01 2.4112526936806758e-01 2.1687448372069368e-01 1.9648932126923258e-01 1.7949505925242398e-01 1.6538312156917931e-01 1.5366066142881499e-01 1.4388385781201715e-01 1.3566772374651598e-01 1.2869658387568275e-01 1.2272312903190601e-01 1.1755574484287427e-01 1.1305038930086789e-01 1.0909786212048897e-01 1.0561840323447706e-01 1.0254821403572725e-01 9.9840716563393384e-02 9.7454960280810049e-02 9.5361964604500041e-02 9.3533072038708101e-02 9.1944158012439936e-02 9.0576039784827408e-02 8.9408427346611322e-02 8.8420823579940674e-02 8.7597766617477590e-02 8.6920115134887163e-02 8.6372450066453679e-02 8.5937381598262058e-02 8.5598976467223184e-02 8.5335944912119613e-02 8.5127880639003908e-02 8.4958481217131121e-02 8.4812817563829454e-02 8.4677104125349512e-02 8.4581639096739436e-02 8.4485424961549482e-02 8.4387329399331190e-02 8.4284612117591015e-02 8.4178656548167599e-02 8.4066521978065592e-02 8.3951426868594012e-02 8.3823907508455198e-02 8.3687431600833750e-02 8.3539487262518142e-02 8.3378112978000851e-02 8.3200925229867356e-02 8.3005238935307479e-02 8.2787307146630865e-02 8.2547053699542974e-02 8.2276137046955813e-02 8.1972388792996578e-02 8.1631401500409539e-02 8.1248432184871780e-02 8.0818589676639796e-02 8.0336968096749950e-02 7.9798248527258323e-02 7.9202668312072094e-02 7.8540503788812208e-02 7.7813734084416247e-02 7.7024041301298543e-02 7.6177620186454673e-02 7.5285010094758617e-02 7.4366270794560416e-02 7.3451350078791194e-02 7.2588683994676162e-02 7.1840369125999115e-02 7.1302405764238116e-02 7.1108993925610403e-02 7.1454848895693646e-02 7.2623634110156515e-02 7.5045189464474776e-02 7.9400029707229508e-02 8.6833976706413171e-02 3.9582946611150752e-03 +3.5726182544969930e+01 1.0666398705568105e+00 1.0648470296460020e+00 1.0646197638919594e+00 1.0642774944689113e+00 1.0638334220828258e+00 1.0633407183615347e+00 1.0628367303578181e+00 1.0622714953013186e+00 1.0615719774105108e+00 1.0606935548918048e+00 1.0596091052830645e+00 1.0582855949832264e+00 1.0566817377416735e+00 1.0547499087739567e+00 1.0524367998279933e+00 1.0496807187908381e+00 1.0464079437297313e+00 1.0425320419440374e+00 1.0379534937274675e+00 1.0325584849336891e+00 1.0262178484039794e+00 1.0187842343635731e+00 1.0100668654111884e+00 9.9973556433409416e-01 9.8740103301540039e-01 9.7292146119667744e-01 9.5621977698701988e-01 9.3712072089538256e-01 9.1541816313868452e-01 8.9092185162387227e-01 8.6347865109757960e-01 8.3299154706924072e-01 7.9944012033498835e-01 7.6290142729664479e-01 7.2356913296147007e-01 6.8176778325500242e-01 6.3795908204739848e-01 5.9273670289805691e-01 5.4680737628097953e-01 5.0095730823979656e-01 4.5271601865085576e-01 4.0649785007652001e-01 3.6317922767400329e-01 3.2345653090545023e-01 2.8779726847294812e-01 2.5642047225078135e-01 2.2930775116519236e-01 2.0624027679469226e-01 1.8685271374466031e-01 1.7069209781930464e-01 1.5727366468969842e-01 1.4612797425605667e-01 1.3683250945184217e-01 1.2902092528960182e-01 1.2239293752461393e-01 1.1671336343619715e-01 1.1180002750804080e-01 1.0751600962367749e-01 1.0375752283811659e-01 1.0044876940838579e-01 9.7529120686699153e-02 9.4954314857892644e-02 9.2685433601245384e-02 9.0694935191150863e-02 8.8955580248429283e-02 8.7444436362313804e-02 8.6143267799426174e-02 8.5032784000256628e-02 8.4093495498372084e-02 8.3310700192008216e-02 8.2666196007611062e-02 8.2145319414838727e-02 8.1731532307762020e-02 8.1409681052995772e-02 8.1159517297776082e-02 8.0961633018753504e-02 8.0800522674006933e-02 8.0661987155824441e-02 8.0532915371479927e-02 8.0442122440200214e-02 8.0350617106711347e-02 8.0257322442532877e-02 8.0159632256316019e-02 8.0058862268360495e-02 7.9952215751818753e-02 7.9842753322905094e-02 7.9721474894265440e-02 7.9591678258538023e-02 7.9450974466554886e-02 7.9297498001189709e-02 7.9128981996656800e-02 7.8942872780572854e-02 7.8735606850116574e-02 7.8507111444058766e-02 7.8249453712628148e-02 7.7960571189258823e-02 7.7636272141720281e-02 7.7272045712757045e-02 7.6863240112345896e-02 7.6405189561255235e-02 7.5892835519292975e-02 7.5326403403852868e-02 7.4696645876959886e-02 7.4005445019537625e-02 7.3254400612002321e-02 7.2449404225318523e-02 7.1600479408330100e-02 7.0726704183408318e-02 6.9856560724004854e-02 6.9036114277386124e-02 6.8324422752336661e-02 6.7812787907420832e-02 6.7628841917875882e-02 6.7957770376737475e-02 6.9069353945967193e-02 7.1372395714197179e-02 7.5514105378485546e-02 8.2584226637928942e-02 3.7582123096999470e-03 +3.5782811459027222e+01 1.0161694656324061e+00 1.0144243231109791e+00 1.0142077216001870e+00 1.0138814389189306e+00 1.0134579803375297e+00 1.0129879366424783e+00 1.0125068827439105e+00 1.0119672521059850e+00 1.0112994538340512e+00 1.0104609223292054e+00 1.0094257579792578e+00 1.0081624309466093e+00 1.0066315418248033e+00 1.0047876403424931e+00 1.0025798519714404e+00 9.9994930414663530e-01 9.9682564564907172e-01 9.9312639797975022e-01 9.8875659843222519e-01 9.8360765067046874e-01 9.7755631762618012e-01 9.7046202601383180e-01 9.6214278391564734e-01 9.5228360742699691e-01 9.4051312980861579e-01 9.2669622140341013e-01 9.1075961087132384e-01 8.9253640146973057e-01 8.7183033031830781e-01 8.4846039687616570e-01 8.2228114030981947e-01 7.9320077412438850e-01 7.6120070995519196e-01 7.2635544896606119e-01 6.8885078169154534e-01 6.4899732356152728e-01 6.0723639724916212e-01 5.6413496013946518e-01 5.2036743723908097e-01 4.7668358180844778e-01 4.3073076562330653e-01 3.8671460703614324e-01 3.4546890239610722e-01 3.0765533095722297e-01 2.7371717385993527e-01 2.4386091257863890e-01 2.1806702061324656e-01 1.9612539443994612e-01 1.7768683494608689e-01 1.6231915153024842e-01 1.4956028710977851e-01 1.3896310515947860e-01 1.3012537675899880e-01 1.2269850153819063e-01 1.1639683997257068e-01 1.1099674412955095e-01 1.0632501453971105e-01 1.0225150238232003e-01 9.8677566810400991e-02 9.5531176349219107e-02 9.2754715409671201e-02 9.0306123581908010e-02 8.8148414281919857e-02 8.6255413465948075e-02 8.4601229951696957e-02 8.3164064792025108e-02 8.1926582682012833e-02 8.0870443464116357e-02 7.9977115973750720e-02 7.9232620683790042e-02 7.8619648860241129e-02 7.8124255632371714e-02 7.7730713051852349e-02 7.7424609119463861e-02 7.7186686152854775e-02 7.6998485758354981e-02 7.6845260487380176e-02 7.6713505657572012e-02 7.6590751769509663e-02 7.6504403178784194e-02 7.6417377098712796e-02 7.6328649293706419e-02 7.6235741136893576e-02 7.6139903938295547e-02 7.6038477934497598e-02 7.5934373608781927e-02 7.5819031872396692e-02 7.5695588900886124e-02 7.5561772686132289e-02 7.5415809029433470e-02 7.5255542030135181e-02 7.5078543020309210e-02 7.4881422995611638e-02 7.4664112449064790e-02 7.4419067280733997e-02 7.4144325799885599e-02 7.3835901463695924e-02 7.3489504226120619e-02 7.3100710007073438e-02 7.2665081422595895e-02 7.2177807613689707e-02 7.1639102668824312e-02 7.1040172331252316e-02 7.0382806376488166e-02 6.9668526275927428e-02 6.8902935204032165e-02 6.8095566048543596e-02 6.7264562944916853e-02 6.6437013891582172e-02 6.5656728925301958e-02 6.4979875391273853e-02 6.4493285573200068e-02 6.4318343978360976e-02 6.4631171076749205e-02 6.5688341526868532e-02 6.7878647133437553e-02 7.1817616126557335e-02 7.8541647813929388e-02 3.5682167483984638e-03 +3.5839440373084514e+01 9.6807525898544078e-01 9.6637649236515055e-01 9.6617004397630624e-01 9.6585900956147930e-01 9.6545521776460386e-01 9.6500679894089525e-01 9.6454764348277333e-01 9.6403246665672770e-01 9.6339496097254562e-01 9.6259452280171576e-01 9.6160642090628368e-01 9.6040056114303862e-01 9.5893934537371983e-01 9.5717939927093376e-01 9.5507217176407233e-01 9.5256148191347967e-01 9.4958019621005241e-01 9.4604961079399807e-01 9.4187911281185188e-01 9.3696508628691677e-01 9.3118995395813864e-01 9.2441960965542180e-01 9.1648044528357853e-01 9.0707197614776292e-01 8.9583994695750035e-01 8.8265559634230573e-01 8.6744926809315148e-01 8.5006203229011990e-01 8.3030702435224479e-01 8.0801204931075687e-01 7.8303894051234657e-01 7.5530086434153265e-01 7.2478093697698387e-01 6.9155117321898640e-01 6.5578979815505567e-01 6.1779408321925033e-01 5.7798585687648452e-01 5.3690654846622710e-01 4.9519973892741720e-01 4.5358040292641433e-01 4.0980817195007657e-01 3.6788974183896578e-01 3.2861833677919794e-01 2.9262265012066180e-01 2.6032297685208200e-01 2.3191394640418536e-01 2.0737505128480080e-01 1.8650458619260188e-01 1.6896878984227817e-01 1.5435530419630253e-01 1.4222372558633425e-01 1.3214816948575012e-01 1.2374572739099596e-01 1.1668468909802328e-01 1.1069334939434688e-01 1.0555903218737715e-01 1.0111707382396889e-01 9.7243763361164789e-02 9.3845351941559185e-02 9.0853387961118096e-02 8.8213119722637637e-02 8.5884579142257014e-02 8.3832615841868491e-02 8.2032355789953437e-02 8.0459189515867849e-02 7.9092395717666256e-02 7.7915495221880487e-02 7.6911051622119808e-02 7.6061445113622103e-02 7.5353383365890592e-02 7.4770407308095269e-02 7.4299255645482051e-02 7.3924971055560534e-02 7.3633847021202348e-02 7.3407568253896174e-02 7.3228579708971925e-02 7.3082855115798498e-02 7.2957550391292078e-02 7.2840806357286292e-02 7.2758685406207085e-02 7.2675920174118572e-02 7.2591536550455499e-02 7.2503177253340614e-02 7.2412032323242337e-02 7.2315572278919840e-02 7.2216564807358649e-02 7.2106870292812639e-02 7.1989471183804263e-02 7.1862206711291052e-02 7.1723389542630467e-02 7.1570969331347128e-02 7.1402636318906393e-02 7.1215167487784933e-02 7.1008496442661009e-02 7.0775448855844275e-02 7.0514158908090624e-02 7.0220835241117441e-02 6.9891397853186113e-02 6.9521639271435870e-02 6.9107339370554632e-02 6.8643922892577786e-02 6.8131593165162235e-02 6.7561986898724849e-02 6.6936806073531238e-02 6.6257497670117113e-02 6.5529390528482528e-02 6.4761550799506115e-02 6.3971234267785407e-02 6.3184202733246528e-02 6.2442120999336215e-02 6.1798406770547633e-02 6.1335640794212797e-02 6.1169264540435128e-02 6.1466775373353599e-02 6.2472185866379232e-02 6.4555252280315098e-02 6.8301366149515486e-02 7.4696183460034135e-02 3.3878009143683179e-03 +3.5896069287141806e+01 9.2224599180583788e-01 9.2059231990151080e-01 9.2039555299431963e-01 9.2009906960426791e-01 9.1971402812967640e-01 9.1928624519710134e-01 9.1884799919913740e-01 9.1835617686722926e-01 9.1774760033087111e-01 9.1698353816478861e-01 9.1604037531348326e-01 9.1488938837961353e-01 9.1349469874150568e-01 9.1181491387769220e-01 9.0980370087483675e-01 9.0740744824040276e-01 9.0456209406743049e-01 9.0119253766237928e-01 8.9721231821919523e-01 8.9252257338520713e-01 8.8701112764879941e-01 8.8055004659030855e-01 8.7297372249469984e-01 8.6399550724069540e-01 8.5327747425096767e-01 8.4069693260318268e-01 8.2618766475358985e-01 8.0959833026453432e-01 7.9075101631960010e-01 7.6948190883974921e-01 7.4565977374770809e-01 7.1920246936943932e-01 6.9009469788245825e-01 6.5840605578223044e-01 6.2430750019211989e-01 5.8808352093628580e-01 5.5013730129200999e-01 5.1098587854787114e-01 4.7124338564026530e-01 4.3159161674384627e-01 3.8989713468920567e-01 3.4997705765742421e-01 3.1258599596539849e-01 2.7832128743741374e-01 2.4758141942088763e-01 2.2054982971800413e-01 1.9720517199830101e-01 1.7735382349377710e-01 1.6067679176002014e-01 1.4678065230960777e-01 1.3524564945003714e-01 1.2566614823389372e-01 1.1767763866600278e-01 1.1096448713472340e-01 1.0526824659137884e-01 1.0038667716195911e-01 9.6163232261786719e-02 9.2480321747811192e-02 8.9248847134911213e-02 8.6403759477976544e-02 8.3893029158773599e-02 8.1678676723436705e-02 7.9727297174304948e-02 7.8015252157479259e-02 7.6519150694463620e-02 7.5219296048265966e-02 7.4100023050192851e-02 7.3144754675406695e-02 7.2336737826585909e-02 7.1663333716991948e-02 7.1108891389117926e-02 7.0660799746354697e-02 7.0304834480743039e-02 7.0027960160136557e-02 6.9812757955729485e-02 6.9642532136924895e-02 6.9503942485578618e-02 6.9384773332617070e-02 6.9273746066267364e-02 6.9195646575680253e-02 6.9116934390736226e-02 6.9036683082480052e-02 6.8952650796755874e-02 6.8865969292803142e-02 6.8774233014532588e-02 6.8680073832477984e-02 6.8575751124439852e-02 6.8464101118545853e-02 6.8343068859711420e-02 6.8211049644724228e-02 6.8066093533730707e-02 6.7906003878137125e-02 6.7727715549120632e-02 6.7531165126478235e-02 6.7309529999557444e-02 6.7061035554160819e-02 6.6782076097322118e-02 6.6468771427860326e-02 6.6117120116053682e-02 6.5723108699431668e-02 6.5282386027894865e-02 6.4795145207564450e-02 6.4253432877297581e-02 6.3658867512426831e-02 6.3012825235637573e-02 6.2320373931500979e-02 6.1590135777071842e-02 6.0838521530767124e-02 6.0090031470140311e-02 5.9384289802004490e-02 5.8772098671726537e-02 5.8331994646037097e-02 5.8173765997975226e-02 5.8456707540694312e-02 5.9412882415239919e-02 6.1393939702677154e-02 6.4956604006863983e-02 7.1038262767219681e-02 3.2164831572699445e-03 +3.5952698201199098e+01 8.7857561524160188e-01 8.7696578378015944e-01 8.7677824767950385e-01 8.7649562635786948e-01 8.7612847348555412e-01 8.7572038381114747e-01 8.7530210242575235e-01 8.7483258432042654e-01 8.7425163429456476e-01 8.7352230759703131e-01 8.7262205537304749e-01 8.7152346299271988e-01 8.7019229326336700e-01 8.6858904556462979e-01 8.6666950457238479e-01 8.6438251156999357e-01 8.6166693672625483e-01 8.5845111876259850e-01 8.5465256003995471e-01 8.5017693533686090e-01 8.4491722450462081e-01 8.3875138289360551e-01 8.3152143712513005e-01 8.2295394305963632e-01 8.1272655562141527e-01 8.0072237031098359e-01 7.8687844030549603e-01 7.7105065503110348e-01 7.5306962794240562e-01 7.3277952146527203e-01 7.1005569020857906e-01 6.8482043697358408e-01 6.5705993870523116e-01 6.2684144075326764e-01 5.9432891862143078e-01 5.5979461975407052e-01 5.2362389489099970e-01 4.8631047538549771e-01 4.4844037977670831e-01 4.1066374718571069e-01 3.7094899486855804e-01 3.3293257247691438e-01 2.9733234105660616e-01 2.6471583342747973e-01 2.3546084805881073e-01 2.0974025561697762e-01 1.8753200162976263e-01 1.6865024086512731e-01 1.5279010900141890e-01 1.3957625625896464e-01 1.2860861568233498e-01 1.1950084636360260e-01 1.1190595857710399e-01 1.0552362066592313e-01 1.0010800021593913e-01 9.5466783957685777e-02 9.1451144067472956e-02 8.7949309667753758e-02 8.4876602908793328e-02 8.2171209027454353e-02 7.9783685664972959e-02 7.7677943419706158e-02 7.5822236323802708e-02 7.4194100537856494e-02 7.2771303462040721e-02 7.1535122448255772e-02 7.0470666270703392e-02 6.9562175085954955e-02 6.8793720030769404e-02 6.8153283850745067e-02 6.7625984175366097e-02 6.7199828350869975e-02 6.6861289300988613e-02 6.6597969951145516e-02 6.6393304227399030e-02 6.6231413815835000e-02 6.6099611128745503e-02 6.5986278287094954e-02 6.5880688935311044e-02 6.5806414739002908e-02 6.5731557892327541e-02 6.5655237323084287e-02 6.5575320974620099e-02 6.5492885168317749e-02 6.5405642225199095e-02 6.5316094839207986e-02 6.5216881898136653e-02 6.5110700551180997e-02 6.4995596495522626e-02 6.4870043626828286e-02 6.4732187513795211e-02 6.4579939100360348e-02 6.4410383441590335e-02 6.4223459961714455e-02 6.4012680589955295e-02 6.3776357476767548e-02 6.3511061537699476e-02 6.3213102625761949e-02 6.2878675303268558e-02 6.2503962689600331e-02 6.2084826807530663e-02 6.1621451054076432e-02 6.1106271980438553e-02 6.0540828638884388e-02 5.9926429750363684e-02 5.9267894973870694e-02 5.8573424169532422e-02 5.7858624290541977e-02 5.7146795627281123e-02 5.6475621344190895e-02 5.5893415597969676e-02 5.5474868060084559e-02 5.5324389570067425e-02 5.5593472520361412e-02 5.6502813518569894e-02 5.8386837743168413e-02 6.1775001252855871e-02 6.7558777524863292e-02 3.0538059698271892e-03 +3.6009327115256390e+01 8.3696297401767650e-01 8.3539577205261550e-01 8.3521704536463337e-01 8.3494763661185067e-01 8.3459754967307920e-01 8.3420825252961506e-01 8.3380903293039665e-01 8.3336081561723585e-01 8.3280624760888688e-01 8.3211008923447638e-01 8.3125081000408341e-01 8.3020224491355310e-01 8.2893172360738432e-01 8.2740155151329398e-01 8.2556953484896090e-01 8.2338685625700392e-01 8.2079518474287505e-01 8.1772614207695693e-01 8.1410101342973396e-01 8.0982980400073612e-01 8.0481041376569351e-01 7.9892641864658731e-01 7.9202713017498805e-01 7.8385170429694784e-01 7.7409266414705635e-01 7.6263862080958045e-01 7.4942973834506899e-01 7.3432879332903001e-01 7.1717452004591320e-01 6.9781867237581729e-01 6.7614286659607215e-01 6.5207361529289964e-01 6.2559846583996981e-01 5.9678237864071282e-01 5.6578262317068051e-01 5.3285972149888527e-01 4.9838196962826892e-01 4.6282083137096347e-01 4.2673548477671430e-01 3.9074586994830290e-01 3.5291742130997217e-01 3.1671441353735380e-01 2.8281973375020064e-01 2.5177258430259303e-01 2.2393113679386448e-01 1.9945828524104833e-01 1.7833138703910509e-01 1.6037207989916144e-01 1.4528901401627767e-01 1.3272409388291834e-01 1.2229602614361139e-01 1.1363685310032914e-01 1.0641626867382434e-01 1.0034850561189265e-01 9.5199733659849337e-02 9.0787081291269264e-02 8.6969060583986971e-02 8.3639433176933592e-02 8.0717723418104584e-02 7.8145190555460056e-02 7.5874851320196474e-02 7.3872412651899866e-02 7.2107705517773540e-02 7.0559382444791999e-02 6.9206312052617153e-02 6.8030697782939020e-02 6.7018384255061084e-02 6.6154388670649045e-02 6.5423566000678099e-02 6.4814490072794009e-02 6.4313009502573737e-02 6.3907719868616361e-02 6.3585757282523442e-02 6.3335331889274121e-02 6.3140688786846935e-02 6.2986727214460345e-02 6.2861380414054660e-02 6.2753599158673429e-02 6.2653182413456798e-02 6.2582546874296416e-02 6.2511357260984141e-02 6.2438775646299176e-02 6.2362774414444287e-02 6.2284377153897744e-02 6.2201408308816257e-02 6.2116247713099024e-02 6.2021895228540389e-02 6.1920915719480489e-02 6.1811450624477196e-02 6.1692048603073694e-02 6.1560946072734865e-02 6.1416156320268429e-02 6.1254907254265550e-02 6.1077141018377155e-02 6.0876687739985044e-02 6.0651942109160889e-02 6.0399643032921078e-02 6.0116281145562285e-02 5.9798237438859640e-02 5.9441882022442522e-02 5.9043279688429026e-02 5.8602604611634232e-02 5.8112664212793069e-02 5.7574922004054473e-02 5.6990622593276731e-02 5.6364349524848270e-02 5.5703900947234528e-02 5.5024119226856578e-02 5.4347163212975502e-02 5.3708869745230550e-02 5.3155186366244528e-02 5.2757143553386697e-02 5.2614037080807280e-02 5.2869937612927013e-02 5.3734729807378326e-02 5.5526455310466120e-02 5.8748632091762516e-02 6.4249059871278866e-02 2.8993347815775210e-03 +3.6065956029313682e+01 7.9731165581335617e-01 7.9578591445392688e-01 7.9561556740194617e-01 7.9535876672653527e-01 7.9502495645977578e-01 7.9465359022391346e-01 7.9427256997028284e-01 7.9384469468845420e-01 7.9331531980031011e-01 7.9265083273870052e-01 7.9183067562939768e-01 7.9082987664741333e-01 7.8961726103321495e-01 7.8815685827315007e-01 7.8640840440377291e-01 7.8432531702520936e-01 7.8185193675422060e-01 7.7892301909388828e-01 7.7546345981223697e-01 7.7138739715614302e-01 7.6659742664289832e-01 7.6098248777502453e-01 7.5439884343375951e-01 7.4659767316254555e-01 7.3728568741057920e-01 7.2635675457816806e-01 7.1375399750320456e-01 6.9934675330320317e-01 6.8298149077231352e-01 6.6451718861581721e-01 6.4384141380125604e-01 6.2088466615389548e-01 5.9563576562523768e-01 5.6815745285926733e-01 5.3860055651421612e-01 5.0721436894900407e-01 4.7435087585321828e-01 4.4046026623274293e-01 4.0607609449376125e-01 3.7178949147787127e-01 3.3575829993478923e-01 3.0128271677133012e-01 2.6901234550277020e-01 2.3945946025991108e-01 2.1296361387584414e-01 1.8967828200838782e-01 1.6958034396772625e-01 1.5249863593269120e-01 1.3815473501005435e-01 1.2620701624846833e-01 1.1629208685282602e-01 1.0805950414208650e-01 1.0119484872266546e-01 9.5426215519419239e-02 9.0531193528494591e-02 8.6335891661634731e-02 8.2705801543049989e-02 7.9539944642620639e-02 7.6761839814602204e-02 7.4315668045837932e-02 7.2156783311286166e-02 7.0252599809018670e-02 6.8574447391937660e-02 6.7102039673887517e-02 6.5815292143887635e-02 6.4697288690595711e-02 6.3734573548433385e-02 6.2912902791710260e-02 6.2217876797379564e-02 6.1638631511169967e-02 6.1161710765806579e-02 6.0776269631164309e-02 6.0470075018400120e-02 6.0231914666615115e-02 6.0046805281420486e-02 5.9900385727866767e-02 5.9781179819548162e-02 5.9678679257848415e-02 5.9583182701238906e-02 5.9516008250308269e-02 5.9448306905174844e-02 5.9379281779073381e-02 5.9307004600591316e-02 5.9232448799077110e-02 5.9153545467332022e-02 5.9072557588436631e-02 5.8982828363395273e-02 5.8886796835464106e-02 5.8782695512309052e-02 5.8669144168767610e-02 5.8544465637393579e-02 5.8406770553667657e-02 5.8253422705374036e-02 5.8084366836049083e-02 5.7893735724481261e-02 5.7680002580104701e-02 5.7440066103271389e-02 5.7170588887042142e-02 5.6868129254638300e-02 5.6529235180658111e-02 5.6150164328438494e-02 5.5731082113050355e-02 5.5265148708422258e-02 5.4753755780364143e-02 5.4198086952482245e-02 5.3602501177085114e-02 5.2974414495126701e-02 5.2327941999100597e-02 5.1684156798774493e-02 5.1077139523614278e-02 5.0550586580383805e-02 5.0172047833009811e-02 5.0035953610565960e-02 5.0279315044641212e-02 5.1101732480401722e-02 5.2805663570192070e-02 5.5869954006347367e-02 6.1100861108389311e-02 2.7526568126783751e-03 +3.6122584943370974e+01 7.5952972838749322e-01 7.5804428392246725e-01 7.5788194731703351e-01 7.5763716343225429e-01 7.5731887529911357e-01 7.5696461972938911e-01 7.5660097490816303e-01 7.5619252555691374e-01 7.5568720804135048e-01 7.5505296230210062e-01 7.5427015935542574e-01 7.5331496667236464e-01 7.5215763705111172e-01 7.5076384574050414e-01 7.4909517100062362e-01 7.4710716378629205e-01 7.4474671483751731e-01 7.4195157080865570e-01 7.3865007363354562e-01 7.3476030615991827e-01 7.3018934503408806e-01 7.2483124800184184e-01 7.1854891089525696e-01 7.1110498653360266e-01 7.0221972272680944e-01 6.9179199891614018e-01 6.7976775196889538e-01 6.6602256829677453e-01 6.5041028311119042e-01 6.3279675085653098e-01 6.1307519348729977e-01 5.9117988703642110e-01 5.6710083230102126e-01 5.4089861428630204e-01 5.1271787603219043e-01 4.8279715536943174e-01 4.5147284012263933e-01 4.1917479354642978e-01 3.8641210870876624e-01 3.5374843364918845e-01 3.1942962830234939e-01 2.8659953100674462e-01 2.5587607100675458e-01 2.2774592766838639e-01 2.0253099195955243e-01 1.8037584899471934e-01 1.6125700076460439e-01 1.4501020727428338e-01 1.3136940987249113e-01 1.2000870554984347e-01 1.1058176921751496e-01 1.0275484567857138e-01 9.6228643060019936e-02 9.0744449880155439e-02 8.6090719624606474e-02 8.2102102758453713e-02 7.8650727701006853e-02 7.5640616445925929e-02 7.2999084881841481e-02 7.0673090973616112e-02 6.8620210106430379e-02 6.6809479053870705e-02 6.5213652353923457e-02 6.3813452153741720e-02 6.2589789134029433e-02 6.1526584228119879e-02 6.0611046832657993e-02 5.9829635589733879e-02 5.9168659730929433e-02 5.8617789769328771e-02 5.8164230729150120e-02 5.7797669828950515e-02 5.7506473966182393e-02 5.7279980287829178e-02 5.7103939464787486e-02 5.6964693902612461e-02 5.6851329196914414e-02 5.6753851599770387e-02 5.6663035080586149e-02 5.6599152778508820e-02 5.6534769433910122e-02 5.6469127197994615e-02 5.6400392295294068e-02 5.6329490444283523e-02 5.6254454178511826e-02 5.6177435346219010e-02 5.6092103711403246e-02 5.6000778645128528e-02 5.5901779278956759e-02 5.5793793031836236e-02 5.5675224933281531e-02 5.5544278215671324e-02 5.5398445911142638e-02 5.5237675248378602e-02 5.5056386867522657e-02 5.4853128672051277e-02 5.4624951355817110e-02 5.4368681077014938e-02 5.4081044834588976e-02 5.3758759786005091e-02 5.3398267048973387e-02 5.2999723718347665e-02 5.2556625486055733e-02 5.2070295685526444e-02 5.1541859932815084e-02 5.0975463550873699e-02 5.0378159124405769e-02 4.9763369971393863e-02 4.9151136456799249e-02 4.8573868734687296e-02 4.8073121942513473e-02 4.7713135232480275e-02 4.7583710977384737e-02 4.7815145368754697e-02 4.8597256433794159e-02 5.0217678512291121e-02 5.3131789313850569e-02 5.8106331530702375e-02 2.6133799847908716e-03 +3.6179213857428266e+01 7.2352952131083736e-01 7.2208328898052832e-01 7.2192857544731881e-01 7.2169524489322745e-01 7.2139176705988839e-01 7.2105384015435803e-01 7.2070678377516351e-01 7.2031688507704272e-01 7.1983453997900659e-01 7.1922916961598693e-01 7.1848203211117501e-01 7.1757038278140373e-01 7.1646583701646149e-01 7.1513564105897542e-01 7.1354313173488815e-01 7.1164589633707220e-01 7.0939325972193223e-01 7.0672582355368263e-01 7.0357521892370878e-01 6.9986329336274844e-01 6.9550139994680349e-01 6.9038848046614143e-01 6.8439375977007333e-01 6.7729083863071138e-01 6.6881288180703069e-01 6.5886354494953048e-01 6.4739144121128578e-01 6.3427810969836695e-01 6.1938440131673111e-01 6.0258271388199902e-01 5.8377164315670982e-01 5.6288904128633777e-01 5.3992600394665657e-01 5.1494102351303694e-01 4.8807280294576805e-01 4.5954958106913396e-01 4.2969282966418604e-01 3.9891299350206044e-01 3.6769581449243383e-01 3.3657872388209448e-01 3.0389141512998763e-01 2.7262872670851285e-01 2.4337844577941706e-01 2.1660292495855671e-01 1.9260730162063852e-01 1.7152776930553984e-01 1.5334054480574896e-01 1.3788804686431561e-01 1.2491604231267624e-01 1.1411363502632600e-01 1.0515077312425043e-01 9.7709600134764568e-02 9.1505228558517906e-02 8.6291503966770336e-02 8.1867216370682158e-02 7.8075140238998017e-02 7.4793714784960774e-02 7.1931715943473307e-02 6.9420068885091807e-02 6.7208370933692071e-02 6.5256308768977950e-02 6.3534461240768308e-02 6.2016937030089744e-02 6.0685416857008026e-02 5.9521757457440379e-02 5.8510675538442650e-02 5.7640012895811117e-02 5.6896896211666381e-02 5.6268308805962515e-02 5.5744429553288836e-02 5.5313092302288834e-02 5.4964490408272199e-02 5.4687561440805971e-02 5.4472165138122884e-02 5.4304750322638630e-02 5.4172328608301137e-02 5.4064519980794125e-02 5.3971820145707859e-02 5.3885455185915511e-02 5.3824704305421668e-02 5.3763476970377116e-02 5.3701052465032741e-02 5.3635686896662198e-02 5.3568260602670219e-02 5.3496902602138574e-02 5.3423659046371259e-02 5.3342510302317007e-02 5.3255661918580569e-02 5.3161515421464252e-02 5.3058822571440456e-02 5.2946066582134244e-02 5.2821538761873170e-02 5.2682855075002130e-02 5.2529965125561337e-02 5.2357563344846009e-02 5.2164268690543622e-02 5.1947276429377812e-02 5.1703568299255362e-02 5.1430031739433793e-02 5.1123544830482474e-02 5.0780723185689158e-02 5.0401715996960007e-02 4.9980338077685961e-02 4.9517847771850219e-02 4.9015315519901417e-02 4.8476683445208425e-02 4.7908658420809686e-02 4.7324005764196542e-02 4.6741783514126736e-02 4.6192812915613807e-02 4.5716612363914180e-02 4.5374271941448226e-02 4.5251192009555803e-02 4.5471281661303431e-02 4.6215054198406200e-02 4.7756044352498597e-02 5.0527307603941120e-02 5.5258001219312965e-02 2.4811318862093664e-03 +3.6235842771485558e+01 6.8922748571109305e-01 6.8781937841883534e-01 6.8767193367760682e-01 6.8744953328430869e-01 6.8716017539164242e-01 6.8683782875110866e-01 6.8650660940435604e-01 6.8613442517819045e-01 6.8567401608073653e-01 6.8509621634250872e-01 6.8438313128125527e-01 6.8351305491891901e-01 6.8245890320569080e-01 6.8118942198115828e-01 6.7966962674651188e-01 6.7785904848956469e-01 6.7570933541941547e-01 6.7316381420931348e-01 6.7015725520498004e-01 6.6661509883881742e-01 6.6245277919878787e-01 6.5757389855093029e-01 6.5185372065174874e-01 6.4507629276967915e-01 6.3698710441250372e-01 6.2749436352688748e-01 6.1654922847624449e-01 6.0403890842337193e-01 5.8983093580705726e-01 5.7380393536810692e-01 5.5586160932135753e-01 5.3594519620683478e-01 5.1404680603922437e-01 4.9022290043108069e-01 4.6460647847873998e-01 4.3741591665536667e-01 4.0895842318414716e-01 3.7962589164281396e-01 3.4988177314628899e-01 3.2023849043383196e-01 2.8910558456399466e-01 2.5933590904734988e-01 2.3148856766738016e-01 2.0600279204464514e-01 1.8316782804560539e-01 1.6311194930066727e-01 1.4581117147889752e-01 1.3111431625241984e-01 1.1877846010013682e-01 1.0850703080237159e-01 9.9985491798541853e-02 9.2911133557369505e-02 8.7012784129240128e-02 8.2056240115621959e-02 7.7850125599938286e-02 7.4244941810294451e-02 7.1125128687448441e-02 6.8403981628550228e-02 6.6015856577180301e-02 6.3912859388652390e-02 6.2056683357572258e-02 6.0419372888950607e-02 5.8976323744268727e-02 5.7710127721338420e-02 5.6603540891390948e-02 5.5642036491470939e-02 5.4814057561260669e-02 5.4107365985124230e-02 5.3509586103425974e-02 5.3011380226172924e-02 5.2601180237301516e-02 5.2269660883257373e-02 5.2006302517844487e-02 5.1801461957435103e-02 5.1642252102316988e-02 5.1516321111067354e-02 5.1413797297403883e-02 5.1325641942455459e-02 5.1243511172321468e-02 5.1185738800809552e-02 5.1127513360572786e-02 5.1068149456450815e-02 5.1005988689733620e-02 5.0941868232819230e-02 5.0874008876785726e-02 5.0804356248519734e-02 5.0727186134671982e-02 5.0644595826548747e-02 5.0555065221525773e-02 5.0457407279744015e-02 5.0350179580987905e-02 5.0231757208607605e-02 5.0099873053737039e-02 4.9954478991069765e-02 4.9790529857484611e-02 4.9606712201936846e-02 4.9400358804187389e-02 4.9168599384314525e-02 4.8908473987404277e-02 4.8617013758754379e-02 4.8291000283915475e-02 4.7930575248504755e-02 4.7529856988947301e-02 4.7090042039664499e-02 4.6612148359768971e-02 4.6099924795733362e-02 4.5559749390905575e-02 4.5003761593868138e-02 4.4450085084600577e-02 4.3928029799182672e-02 4.3475176835939149e-02 4.3149620990261955e-02 4.3032575570836194e-02 4.3241874473608548e-02 4.3949180646189065e-02 4.5414617728940239e-02 4.8050009018352817e-02 5.2548761755877436e-02 2.3555587885451231e-03 +3.6292471685542850e+01 6.5654394565891128e-01 6.5517292033385044e-01 6.5503240474985069e-01 6.5482042015930209e-01 6.5454453352210462e-01 6.5423705239495344e-01 6.5392095272149753e-01 6.5356568419495609e-01 6.5312622105745388e-01 6.5257474566409779e-01 6.5189417240914560e-01 6.5106378707122681e-01 6.5005774694097829e-01 6.4884622927429381e-01 6.4739585195428040e-01 6.4566800120746393e-01 6.4361654282912106e-01 6.4118740437723531e-01 6.3831835232596412e-01 6.3493825600542064e-01 6.3096644395875523e-01 6.2631096551643084e-01 6.2085284642545746e-01 6.1438610178644903e-01 6.0666798060048432e-01 5.9761102960754886e-01 5.8716882765790812e-01 5.7523398464069664e-01 5.6168039615523313e-01 5.4639261258566274e-01 5.2927918839538379e-01 5.1028456865204019e-01 4.8940180227872065e-01 4.6668538081742861e-01 4.4226282672856276e-01 4.1634307267740339e-01 3.8921968771920934e-01 3.6126684329175601e-01 3.3292671246569594e-01 3.0468786263278708e-01 2.7503588497865544e-01 2.4668833508857307e-01 2.2017702208396259e-01 1.9591920310913455e-01 1.7418905074406163e-01 1.5510736453453156e-01 1.3865003561378914e-01 1.2467204178089689e-01 1.1294127530719872e-01 1.0317483555903866e-01 9.5072978351739293e-02 8.8347424566629987e-02 8.2740061686648755e-02 7.8028060385731970e-02 7.4029400652497315e-02 7.0601932552673233e-02 6.7635801849116731e-02 6.5048600434217133e-02 6.2777945306183150e-02 6.0778326482084297e-02 5.9013344361062564e-02 5.7456436164237776e-02 5.6084220979542465e-02 5.4880156531623592e-02 5.3827853805660235e-02 5.2913505252819869e-02 5.2126125529962639e-02 5.1454080494223516e-02 5.0885604054104062e-02 5.0411818246222449e-02 5.0021723702180082e-02 4.9706453018799397e-02 4.9456002803493951e-02 4.9261202677859640e-02 4.9109797202713301e-02 4.8990040005193379e-02 4.8892542930473702e-02 4.8808710117327479e-02 4.8730606737818760e-02 4.8675667399045046e-02 4.8620297233800534e-02 4.8563844443160364e-02 4.8504731946947974e-02 4.8443755861191408e-02 4.8379224264288215e-02 4.8312987179495274e-02 4.8239601369132239e-02 4.8161061160985237e-02 4.8075920995895513e-02 4.7983052044382864e-02 4.7881082620200202e-02 4.7768467489974979e-02 4.7643050758497334e-02 4.7504786470606429e-02 4.7348877135426418e-02 4.7174073597886626e-02 4.6977839434388650e-02 4.6757445119323969e-02 4.6510075849886937e-02 4.6232908360046704e-02 4.5922882099058510e-02 4.5580131622700866e-02 4.5199063951570459e-02 4.4780816835476994e-02 4.4326358315429311e-02 4.3839253401125711e-02 4.3325567367099749e-02 4.2796844362074982e-02 4.2270319341994593e-02 4.1773864759616690e-02 4.1343219026228666e-02 4.1033627953565924e-02 4.0922322302865764e-02 4.1121357505397929e-02 4.1793978428942370e-02 4.3187552655325569e-02 4.5693708331105691e-02 4.9971848812232010e-02 2.2363247124054571e-03 +3.6349100599600142e+01 6.2540294459159462e-01 6.2406799295798598e-01 6.2393408196736677e-01 6.2373202485522972e-01 6.2346898375229365e-01 6.2317568774127019e-01 6.2287402271399694e-01 6.2253490685420942e-01 6.2211544395350216e-01 6.2158910249716759e-01 6.2093956955902141e-01 6.2014707780906020e-01 6.1918696934930462e-01 6.1803078774394227e-01 6.1664668040259574e-01 6.1499780432833562e-01 6.1304014191607237e-01 6.1072210309471386e-01 6.0798431381344753e-01 6.0475891572577978e-01 6.0096895373629700e-01 5.9652672052366584e-01 5.9131873951234781e-01 5.8514853673809764e-01 5.7778458116173737e-01 5.6914355474751210e-01 5.5918133815603588e-01 5.4779568536391721e-01 5.3486655180009379e-01 5.2028412666258861e-01 5.0396157496586180e-01 4.8584637778883705e-01 4.6593245234495928e-01 4.4427237959545557e-01 4.2098842392560465e-01 3.9628047535829486e-01 3.7042906126146063e-01 3.4379142340507257e-01 3.1678942406754973e-01 2.8988887581740225e-01 2.6164780208756927e-01 2.3465483491229477e-01 2.0941581080095273e-01 1.8632710259205237e-01 1.6564858614264258e-01 1.4749400828235784e-01 1.3183920523741066e-01 1.1854507287008456e-01 1.0738984646040278e-01 9.8103673948778225e-02 9.0400913932675561e-02 8.4007034797236563e-02 7.8676358506353739e-02 7.4196880529615941e-02 7.0395481713070987e-02 6.7137001427031315e-02 6.4317010773723191e-02 6.1857186124205855e-02 5.9698244172296834e-02 5.7796940867437509e-02 5.6118689118261691e-02 5.4638249819200103e-02 5.3333404775995873e-02 5.2188434718471371e-02 5.1187763310351152e-02 5.0318266734288533e-02 4.9569503092465397e-02 4.8930412514240039e-02 4.8389808561359174e-02 4.7939250446200142e-02 4.7568279689111655e-02 4.7268464343040204e-02 4.7030292029756671e-02 4.6845042083702423e-02 4.6701059884514472e-02 4.6587174962694662e-02 4.6494459103094986e-02 4.6414737687849150e-02 4.6340464958774800e-02 4.6288220252895758e-02 4.6235565874824303e-02 4.6181881981462239e-02 4.6125668838931440e-02 4.6067683512601577e-02 4.6006317102167030e-02 4.5943328707662920e-02 4.5873542326651605e-02 4.5798854359585230e-02 4.5717890148987923e-02 4.5629576232059363e-02 4.5532608200981053e-02 4.5425516612881502e-02 4.5306251351162383e-02 4.5174768534653027e-02 4.5026506231348601e-02 4.4860276447179326e-02 4.4673667165228657e-02 4.4464082738040873e-02 4.4228846423761604e-02 4.3965273432533848e-02 4.3670453363282728e-02 4.3344513999830393e-02 4.2982136930506933e-02 4.2584403997836140e-02 4.2152235763460749e-02 4.1689022381137184e-02 4.1200531636191522e-02 4.0697741459687811e-02 4.0197041498383601e-02 3.9724936955808574e-02 3.9315413564569864e-02 3.9021007339245121e-02 3.8915161050934850e-02 3.9104433964611475e-02 3.9744064115019760e-02 4.1069286195256474e-02 4.3452519791235371e-02 4.7520825574222575e-02 2.1231105396361484e-03 +3.6405729513657434e+01 5.9573207450260401e-01 5.9443220232401772e-01 5.9430458584150658e-01 5.9411200189820412e-01 5.9386120928454511e-01 5.9358144933454093e-01 5.9329356463903171e-01 5.9296987254541889e-01 5.9256950651025753e-01 5.9206716196641007e-01 5.9144726392964797e-01 5.9069094907916930e-01 5.8977469036566188e-01 5.8867133549169981e-01 5.8735049182305299e-01 5.8577700649229025e-01 5.8390888207412239e-01 5.8169689770806832e-01 5.7908440835419583e-01 5.7600667850756282e-01 5.7239029942400854e-01 5.6815161267383518e-01 5.6318238707756552e-01 5.5729522349367755e-01 5.5026929587480311e-01 5.4202522731554725e-01 5.3252108736520110e-01 5.2165952954493300e-01 5.0932628012840830e-01 4.9541689405218120e-01 4.7984891709198002e-01 4.6257270469129647e-01 4.4358297626552240e-01 4.2293046046387178e-01 4.0073237379784521e-01 3.7717994813807887e-01 3.5254124087472843e-01 3.2715732159583233e-01 3.0143066555511500e-01 2.7580538076181038e-01 2.4890847616915751e-01 2.2320573647284980e-01 1.9917828412950464e-01 1.7720264423264112e-01 1.5752513292050954e-01 1.4025284253235099e-01 1.2536161754720523e-01 1.1271804230476991e-01 1.0211024250793553e-01 9.3280819670923831e-02 8.5957577409097680e-02 7.9879080758287382e-02 7.4811490909442557e-02 7.0553105212657841e-02 6.6939272331830932e-02 6.3841478907742694e-02 6.1160454620979868e-02 5.8821758719319439e-02 5.6769054183055362e-02 5.4961250503400123e-02 5.3365483176602266e-02 5.1957771046511572e-02 5.0717001019692551e-02 4.9628236028958155e-02 4.8676672259321915e-02 4.7849835886840095e-02 4.7137801669623072e-02 4.6530055764139780e-02 4.6015962932570369e-02 4.5587498114140639e-02 4.5234717218186525e-02 4.4949602450245839e-02 4.4723108436199872e-02 4.4546942254194637e-02 4.4410020760612678e-02 4.4301721261881206e-02 4.4213553036809315e-02 4.4137742147210411e-02 4.4067112900165926e-02 4.4017431160965396e-02 4.3967359868956585e-02 4.3916309576141559e-02 4.3862854115836278e-02 4.3807713411139100e-02 4.3749357524402101e-02 4.3689459084870770e-02 4.3623096254055548e-02 4.3552072295802505e-02 4.3475079989861838e-02 4.3391098534822994e-02 4.3298887513719735e-02 4.3197049570982089e-02 4.3083635197890928e-02 4.2958602495568599e-02 4.2817613567390070e-02 4.2659538597486106e-02 4.2482083896692786e-02 4.2282781154101952e-02 4.2059084942573814e-02 4.1808442182134940e-02 4.1528085282684257e-02 4.1218135596077184e-02 4.0873535849269955e-02 4.0495314714912474e-02 4.0084347595009770e-02 3.9643858331465186e-02 3.9179331756547857e-02 3.8701207250774070e-02 3.8225070454503109e-02 3.7776126138458162e-02 3.7386692986152194e-02 3.7106729629259011e-02 3.7006075940113049e-02 3.7186063580454384e-02 3.7794314990045867e-02 3.9054524823020534e-02 4.1320842692264576e-02 4.5189566959882972e-02 2.0156131698151939e-03 +3.6462358427714726e+01 5.6746229791514113e-01 5.6619654922513896e-01 5.6607493680763976e-01 5.6589138169594055e-01 5.6565226982655248e-01 5.6538542545531745e-01 5.6511069609572961e-01 5.6480173148646962e-01 5.6441959942041053e-01 5.6394016577524086e-01 5.6334856036005165e-01 5.6262678287097911e-01 5.6175238560216478e-01 5.6069946102846469e-01 5.5943901003852570e-01 5.5793749289447014e-01 5.5615484028886053e-01 5.5404409253244935e-01 5.5155120903637078e-01 5.4861443443157598e-01 5.4516374403335865e-01 5.4111934269169604e-01 5.3637800383085465e-01 5.3076098686467177e-01 5.2405767922571711e-01 5.1619246008290176e-01 5.0712548043449401e-01 4.9676406033349607e-01 4.8499942158025483e-01 4.7173222488526012e-01 4.5688417831666633e-01 4.4040835845533455e-01 4.2230022509206450e-01 4.0260871159637796e-01 3.8144618874963288e-01 3.5899559875697296e-01 3.3551307606175607e-01 3.1132424209066872e-01 2.8681306728918671e-01 2.6240295737713043e-01 2.3678662320883920e-01 2.1231279402923753e-01 1.8943907632758922e-01 1.6852313301923433e-01 1.4979841995915913e-01 1.3336575132253592e-01 1.1920103699468161e-01 1.0717632842593502e-01 9.7089208517151845e-02 8.8694164127901987e-02 8.1731816504351587e-02 7.5953207044907836e-02 7.1135769210397215e-02 6.7087604421684141e-02 6.3652117071595030e-02 6.0707115689236868e-02 5.8158234826223260e-02 5.5934724910850893e-02 5.3983049360798945e-02 5.2264164370026511e-02 5.0746842543941198e-02 4.9408298202764100e-02 4.8228468581106056e-02 4.7193160027547525e-02 4.6288303068407262e-02 4.5502041793086499e-02 4.4824942142226570e-02 4.4247009437773425e-02 4.3758132580917077e-02 4.3350681837086583e-02 4.3015202297752304e-02 4.2744070055742635e-02 4.2528683900099638e-02 4.2361157752114763e-02 4.2230952030126077e-02 4.2127965057054996e-02 4.2044122250760957e-02 4.1972030788962209e-02 4.1904866963629842e-02 4.1857622932339286e-02 4.1810008483140169e-02 4.1761463078315991e-02 4.1710630523302462e-02 4.1658195414249220e-02 4.1602702915265181e-02 4.1545743420029063e-02 4.1482636819472993e-02 4.1415097798127541e-02 4.1341883277165585e-02 4.1262022542755433e-02 4.1174336041502661e-02 4.1077494981835390e-02 4.0969645544218024e-02 4.0850747724035109e-02 4.0716676698339657e-02 4.0566357991293552e-02 4.0397610458600131e-02 4.0208086902338812e-02 3.9995366792451956e-02 3.9757022321637567e-02 3.9490421729404680e-02 3.9195680258543357e-02 3.8867988999946951e-02 3.8508326059905687e-02 3.8117523888053603e-02 3.7698648142433865e-02 3.7256914531176279e-02 3.6802250204834588e-02 3.6349476090330117e-02 3.5922560089739708e-02 3.5552235300763187e-02 3.5286008941978773e-02 3.5190294070964259e-02 3.5361450239374516e-02 3.5939856490424797e-02 3.7138231438084549e-02 3.9293347633085236e-02 4.2972244594184160e-02 1.9135447188002763e-03 +3.6518987341772018e+01 5.4052780360597963e-01 5.3929525425202141e-01 5.3917936266120459e-01 5.3900441400532528e-01 5.3877644290297655e-01 5.3852192151539346e-01 5.3825975064933795e-01 5.3796484843316417e-01 5.3760012612408103e-01 5.3714256610208899e-01 5.3657797135238894e-01 5.3588916540374631e-01 5.3505473072443621e-01 5.3404994788370164e-01 5.3284714785256293e-01 5.3141433050734643e-01 5.2971326675883468e-01 5.2769915493874453e-01 5.2532043999179834e-01 5.2251821045086455e-01 5.1922567076851911e-01 5.1536671190759642e-01 5.1084288207280371e-01 5.0548370192012215e-01 4.9908830324446302e-01 4.9158464485362341e-01 4.8293485697095911e-01 4.7305070416155254e-01 4.6182864146505259e-01 4.4917418788354868e-01 4.3501300607835869e-01 4.1930074853208105e-01 4.0203355759421910e-01 3.8325862713682213e-01 3.6308367658626817e-01 3.4168371161800065e-01 3.1930346712703750e-01 2.9625380838789261e-01 2.7290104354908651e-01 2.4964883248966149e-01 2.2525245977747821e-01 2.0194911997052553e-01 1.8017404408358800e-01 1.6026696990889125e-01 1.4244915678037781e-01 1.2681549631368177e-01 1.1334201537961232e-01 1.0190601913804358e-01 9.2314133020006073e-02 8.4332186587782951e-02 7.7713020321176565e-02 7.2219560835746321e-02 6.7639973867410830e-02 6.3791691006055293e-02 6.0525780227840505e-02 5.7726062413735263e-02 5.5302835697416959e-02 5.3188859413121015e-02 5.1333258755671865e-02 4.9698935061548231e-02 4.8256216791791262e-02 4.6983454360270023e-02 4.5861583261465937e-02 4.4877116388643577e-02 4.4016682309261694e-02 4.3269012523347521e-02 4.2625139931751009e-02 4.2075563476884133e-02 4.1610670460848820e-02 4.1223207071601549e-02 4.0904183606578243e-02 4.0646350767999266e-02 4.0441529779713249e-02 4.0282221522808671e-02 4.0158403420640129e-02 4.0060469355052732e-02 3.9980740566148670e-02 3.9912186734914236e-02 3.9848318937823674e-02 3.9803393452705546e-02 3.9758115748088976e-02 3.9711952783968149e-02 3.9663614917727595e-02 3.9613753145579932e-02 3.9560984060463961e-02 3.9506819849101531e-02 3.9446810303302854e-02 3.9382585863510768e-02 3.9312964456817395e-02 3.9237023008563444e-02 3.9153639853681081e-02 3.9061551412998108e-02 3.8958994876879427e-02 3.8845932050769492e-02 3.8718440757813048e-02 3.8575499162141397e-02 3.8415033162677095e-02 3.8234810754105883e-02 3.8032530198002706e-02 3.7805882836032784e-02 3.7552366095771263e-02 3.7272089417705961e-02 3.6960480104327773e-02 3.6618468172367240e-02 3.6246845218546042e-02 3.5848526449694926e-02 3.5428471605399109e-02 3.4996120645852731e-02 3.4565567164694951e-02 3.4159602665289342e-02 3.3807452157859776e-02 3.3554291285897576e-02 3.3463273805112680e-02 3.3626030213797398e-02 3.4176050239822835e-02 3.5315613002351920e-02 3.7364963437953022e-02 4.0863312504035437e-02 1.8166317572410411e-03 +3.6575616255829310e+01 5.1486585602396417e-01 5.1366560328220290e-01 5.1355516663891310e-01 5.1338842305715804e-01 5.1317107535560680e-01 5.1292831088832724e-01 5.1267812867598372e-01 5.1239665358774911e-01 5.1204855378554037e-01 5.1161187668351438e-01 5.1107306827970911e-01 5.1041573848039290e-01 5.0961945299623868e-01 5.0866062636838349e-01 5.0751285907975541e-01 5.0614562042876943e-01 5.0452243762255788e-01 5.0260056853191371e-01 5.0033083010728219e-01 4.9765702472741413e-01 4.9451543810336263e-01 4.9083347820254952e-01 4.8651724866521362e-01 4.8140415216780408e-01 4.7530261713721172e-01 4.6814401380609066e-01 4.5989235436642639e-01 4.5046363635353359e-01 4.3975929817577014e-01 4.2768948153305869e-01 4.1418360623038364e-01 3.9919976299359705e-01 3.8273472268875258e-01 3.6483399421439416e-01 3.4560083253216789e-01 3.2520264519091013e-01 3.0387326830548650e-01 2.8190947239606395e-01 2.5966070788343282e-01 2.3751180150200191e-01 2.1427763146713155e-01 1.9208911988119462e-01 1.7136020792796197e-01 1.5241359918594743e-01 1.3545898635508394e-01 1.2058567449092691e-01 1.0776985385808380e-01 9.6893877644578019e-02 8.7773016926910002e-02 8.0183925780006757e-02 7.3891093185386059e-02 6.8668767616233306e-02 6.4315332778588141e-02 6.0657099297359407e-02 5.7552425570174315e-02 5.4890850372211482e-02 5.2587105943670165e-02 5.0577287210712349e-02 4.8813049321776408e-02 4.7259142214389330e-02 4.5887372968678009e-02 4.4677171647921288e-02 4.3610422509492631e-02 4.2674309942332872e-02 4.1856126042333172e-02 4.1145160717659141e-02 4.0532890797065686e-02 4.0010284550463814e-02 3.9568203201666714e-02 3.9199750406415823e-02 3.8896378862193361e-02 3.8651195542583040e-02 3.8456423436517680e-02 3.8304931469276604e-02 3.8187188804415455e-02 3.8094060664059591e-02 3.8018244781545654e-02 3.7953055633677964e-02 3.7892322718163785e-02 3.7849602418981027e-02 3.7806547207920427e-02 3.7762650198758033e-02 3.7716685047209271e-02 3.7669270792516779e-02 3.7619091962425855e-02 3.7567586368666674e-02 3.7510522451862226e-02 3.7449450532316485e-02 3.7383246560201713e-02 3.7311032770832399e-02 3.7231742557093876e-02 3.7144174363769773e-02 3.7046651939658275e-02 3.6939138819860162e-02 3.6817905554377195e-02 3.6681980378278849e-02 3.6529390999937933e-02 3.6358014974590902e-02 3.6165663547271520e-02 3.5950141382894756e-02 3.5709068779133844e-02 3.5442549665563566e-02 3.5146235996206081e-02 3.4821012054075236e-02 3.4467630580418081e-02 3.4088863686837334e-02 3.3689427659560518e-02 3.3278299088909398e-02 3.2868879795567053e-02 3.2482842409597923e-02 3.2147977579499984e-02 3.1907243376889979e-02 3.1820693612941250e-02 3.1975460955359185e-02 3.2498482658766634e-02 3.3582108770454769e-02 3.5530864703585206e-02 3.8857493499862242e-02 1.7246145870706215e-03 +3.6632245169886602e+01 4.9041665016744057e-01 4.8924781813241086e-01 4.8914257405965733e-01 4.8898365638628605e-01 4.8877644145755267e-01 4.8854489276913599e-01 4.8830615510343106e-01 4.8803750037066718e-01 4.8770527114166479e-01 4.8728853075626921e-01 4.8677433944344350e-01 4.8614705769457162e-01 4.8538718965576971e-01 4.8447223216968294e-01 4.8337699739506068e-01 4.8207235703611945e-01 4.8052351447327452e-01 4.7868969309582265e-01 4.7652397347610803e-01 4.7397274768704861e-01 4.7097524153850712e-01 4.6746221859681003e-01 4.6334412859149204e-01 4.5846589427815454e-01 4.5264481340084989e-01 4.4581550724647934e-01 4.3794377744581314e-01 4.2894965295231241e-01 4.1873931750539117e-01 4.0722731123525380e-01 3.9434662338439375e-01 3.8005765245968892e-01 3.6435774734616438e-01 3.4729078523293860e-01 3.2895573629107133e-01 3.0951273421482339e-01 2.8918519543941229e-01 2.6825642784764359e-01 2.4705979244911599e-01 2.2596215375774115e-01 2.0383514471994829e-01 1.8270843069311046e-01 1.6297569643730522e-01 1.4494345833394520e-01 1.2881044017040139e-01 1.1466067789212508e-01 1.0247056677469481e-01 9.2127309828427942e-02 8.3454443934377981e-02 7.6238952856638176e-02 7.0256429747029531e-02 6.5291908068319679e-02 6.1153499668850350e-02 5.7675964755615955e-02 5.4724597056700429e-02 5.2194373131563519e-02 5.0004241089802025e-02 4.8093466657732932e-02 4.6416109614856836e-02 4.4938676730193888e-02 4.3634380285638014e-02 4.2483676343209126e-02 4.1469350871273659e-02 4.0579226437374674e-02 3.9801225853400027e-02 3.9125169859676089e-02 3.8542957312266486e-02 3.8046002706609149e-02 3.7625617906886552e-02 3.7275246484069297e-02 3.6986761843657526e-02 3.6753609786400410e-02 3.6568395404120567e-02 3.6424337671431405e-02 3.6312373456962269e-02 3.6223816283210558e-02 3.6151721987673732e-02 3.6089732997061003e-02 3.6031981663497449e-02 3.5991358710341814e-02 3.5950417305501803e-02 3.5908675438161668e-02 3.5864966967106032e-02 3.5819880537506690e-02 3.5772165288174257e-02 3.5723188300836067e-02 3.5668925961399353e-02 3.5610852392772008e-02 3.5547898730763909e-02 3.5479230304823292e-02 3.5403832873202888e-02 3.5320563871516310e-02 3.5227829372480896e-02 3.5125594563852794e-02 3.5010313286735047e-02 3.4881061403207868e-02 3.4735963452201681e-02 3.4573001191522110e-02 3.4390093324394494e-02 3.4185152297099765e-02 3.3955915267117012e-02 3.3702480929783264e-02 3.3420714894255146e-02 3.3111457950646968e-02 3.2775425884894058e-02 3.2415254711198591e-02 3.2035429168152843e-02 3.1644485136500790e-02 3.1255166492930649e-02 3.0888081717722202e-02 3.0569657233776065e-02 3.0340741991964317e-02 3.0258441456110060e-02 3.0405610425878655e-02 3.0902954121475017e-02 3.1933379084592976e-02 3.3786459943898610e-02 3.6949766210094208e-02 1.6372465540891025e-03 +3.6688874083943894e+01 4.6712317351351962e-01 4.6598490143114707e-01 4.6588461740334874e-01 4.6573315283673344e-01 4.6553560388714837e-01 4.6531475653118115e-01 4.6508694369555359e-01 4.6483052974480532e-01 4.6451345289030899e-01 4.6411574554014706e-01 4.6362505467187554e-01 4.6302645716447177e-01 4.6230135282061008e-01 4.6142827145794130e-01 4.6038318168398185e-01 4.5913829362789110e-01 4.5766041034943122e-01 4.5591063099198365e-01 4.5384419628498540e-01 4.5140996947857059e-01 4.4854998173999910e-01 4.4519819818069262e-01 4.4126921482363535e-01 4.3661512905760763e-01 4.3106170012358763e-01 4.2454664747226845e-01 4.1703747414482889e-01 4.0845804847932699e-01 3.9871907279008090e-01 3.8773927215187848e-01 3.7545502681193149e-01 3.6182891941793088e-01 3.4685882971497534e-01 3.3058705518084691e-01 3.1310845391866227e-01 2.9457619648504962e-01 2.7520373798591480e-01 2.5526152778422601e-01 2.3506757115513038e-01 2.1497160143417132e-01 1.9389930188648113e-01 1.7378386177469649e-01 1.5499969309707620e-01 1.3783793030297037e-01 1.2248689544685841e-01 1.0902565526700872e-01 9.7430847229893813e-02 8.7594333200969307e-02 7.9347552355692769e-02 7.2487345653639693e-02 6.6799891278402510e-02 6.2080496070862495e-02 5.8146533515246603e-02 5.4840804593922834e-02 5.2035200474660162e-02 4.9629869044388604e-02 4.7547766735619813e-02 4.5731173388465086e-02 4.4136434272383646e-02 4.2731725755943195e-02 4.1491595536433411e-02 4.0397474679817164e-02 3.9433006138168136e-02 3.8586618987695789e-02 3.7846835560261124e-02 3.7203981209090492e-02 3.6650355993474118e-02 3.6177798665177327e-02 3.5778049586693395e-02 3.5444875550274049e-02 3.5170550036709380e-02 3.4948841080727266e-02 3.4772717172878990e-02 3.4635730218826571e-02 3.4529261926949557e-02 3.4445052201996298e-02 3.4376497491000947e-02 3.4317552144312730e-02 3.4262636559686477e-02 3.4224008365272798e-02 3.4185077373309558e-02 3.4145385232168333e-02 3.4103823059237787e-02 3.4060950592431707e-02 3.4015578419823944e-02 3.3969006360089378e-02 3.3917408562913524e-02 3.3862186685247112e-02 3.3802324349228051e-02 3.3737027870498926e-02 3.3665332811427952e-02 3.3586152712960372e-02 3.3497971943487435e-02 3.3400757269807728e-02 3.3291136848697674e-02 3.3168231843835334e-02 3.3030258888502154e-02 3.2875298846062447e-02 3.2701372621814211e-02 3.2506495171351513e-02 3.2288514794529315e-02 3.2047525215404674e-02 3.1779595237842177e-02 3.1485524290647549e-02 3.1165993011912901e-02 3.0823507975521164e-02 3.0462333698159486e-02 3.0090586907718504e-02 2.9720385717917568e-02 2.9371326517150000e-02 2.9068538222886853e-02 2.8850863833933295e-02 2.8772604679738543e-02 2.8912546940436348e-02 2.9385468632400949e-02 3.0365294707169355e-02 3.2127380303567966e-02 3.5135352738204388e-02 1.5542933948450347e-03 +3.6745502998001186e+01 4.4493107175675178e-01 4.4382254266768689e-01 4.4372697803485878e-01 4.4358262208027094e-01 4.4339428909617423e-01 4.4318365211416061e-01 4.4296626755742607e-01 4.4272154079151715e-01 4.4241893033302682e-01 4.4203939297029776e-01 4.4157113615849153e-01 4.4099992050462417e-01 4.4030800062347097e-01 4.3947489221336972e-01 4.3847766760264906e-01 4.3728981426433922e-01 4.3587966190315486e-01 4.3421009972564406e-01 4.3223842984314303e-01 4.2991587355012628e-01 4.2718713876059689e-01 4.2398924509614189e-01 4.2024074419301627e-01 4.1580057837940626e-01 4.1050257918664207e-01 4.0428741847054084e-01 3.9712421693977662e-01 3.8894049935816011e-01 3.7965127060597126e-01 3.6917923748988524e-01 3.5746400164597886e-01 3.4447021269803657e-01 3.3019623722721914e-01 3.1468284373588157e-01 2.9802094428417347e-01 2.8035704400336481e-01 2.6189507515675725e-01 2.4289320592590202e-01 2.2365478643153447e-01 2.0451321179838106e-01 1.8444563936592218e-01 1.6529333882342034e-01 1.4741238569678633e-01 1.3107929805598695e-01 1.1647253440430004e-01 1.0366647557588983e-01 9.2638034301538982e-02 8.3283547341954714e-02 7.5442008305193542e-02 6.8919664189865143e-02 6.3512783111925222e-02 5.9026457758397197e-02 5.5286878961910361e-02 5.2144499333593455e-02 4.9477485963078063e-02 4.7190904598747099e-02 4.5211522619162434e-02 4.3484485000433233e-02 4.1968309239203645e-02 4.0632758385503169e-02 3.9453649217878195e-02 3.8413339336407309e-02 3.7496286160076553e-02 3.6691495169343002e-02 3.5988058557443782e-02 3.5376781361552215e-02 3.4850345043629931e-02 3.4400991720262925e-02 3.4020869193881691e-02 3.3704051600849293e-02 3.3443192872419536e-02 3.3232367493405052e-02 3.3064889561087371e-02 3.2934627627318816e-02 3.2833386488553926e-02 3.2753311580680948e-02 3.2688123316995388e-02 3.2632072725158258e-02 3.2579854160998380e-02 3.2543123135890681e-02 3.2506104200636349e-02 3.2468361505862055e-02 3.2428840626424274e-02 3.2388073807386224e-02 3.2344930078377604e-02 3.2300645292734985e-02 3.2251581678890986e-02 3.2199071977390338e-02 3.2142149728797018e-02 3.2080060229820295e-02 3.2011886410300887e-02 3.1936595171632283e-02 3.1852745346040635e-02 3.1760305209016286e-02 3.1656068695208803e-02 3.1539200057711617e-02 3.1408003518569892e-02 3.1260654198131052e-02 3.1095270203579085e-02 3.0909963984770104e-02 3.0702689545010115e-02 3.0473535886965112e-02 3.0218765058824607e-02 2.9939137155600783e-02 2.9635299387115177e-02 2.9309635219467670e-02 2.8966199721550834e-02 2.8612710974789912e-02 2.8260691943374477e-02 2.7928776444883639e-02 2.7640859361705340e-02 2.7433875882573257e-02 2.7359460389793595e-02 2.7492529497826452e-02 2.7942223998961124e-02 2.8873926665533324e-02 3.0549468813517406e-02 3.3409706912022816e-02 1.4755326161099177e-03 +3.6802131912058478e+01 4.2378854326001264e-01 4.2270894735836118e-01 4.2261788301716441e-01 4.2248030795295322e-01 4.2230076221307583e-01 4.2209986613730005e-01 4.2189243559321737e-01 4.2165886724371032e-01 4.2137006798184778e-01 4.2100787638404530e-01 4.2056103525361765e-01 4.2001595774376682e-01 4.1935571427997737e-01 4.1856076148523902e-01 4.1760922506281256e-01 4.1647581151422569e-01 4.1513030746756607e-01 4.1353731038345304e-01 4.1165608946547211e-01 4.0944011605965774e-01 4.0683665206817382e-01 4.0378563128866696e-01 4.0020937899751013e-01 3.9597336780687042e-01 3.9091913009920026e-01 3.8499015118405089e-01 3.7815708976969159e-01 3.7035095273713869e-01 3.6149084176900353e-01 3.5150325197104282e-01 3.4033084514055706e-01 3.2794022685402291e-01 3.1433020945180257e-01 2.9954008193883769e-01 2.8365696990561046e-01 2.6682099829517342e-01 2.4922699599721471e-01 2.3112140174263715e-01 2.1279357945578400e-01 1.9456134266736747e-01 1.7545086867980972e-01 1.5721585042623640e-01 1.4019491813894766e-01 1.2465070128923117e-01 1.1075230547863392e-01 9.8569693237944025e-02 8.8080081840110375e-02 7.9184105761518367e-02 7.1727980173378947e-02 6.5526927344801603e-02 6.0386833163711427e-02 5.6122111586579981e-02 5.2567347676018478e-02 4.9580275246616221e-02 4.7045031375425664e-02 4.4871358567747238e-02 4.2989647445178455e-02 4.1347766473094467e-02 3.9906297702342296e-02 3.8636512047386079e-02 3.7515432316496448e-02 3.6526296574327953e-02 3.5654336291357336e-02 3.4889104736877445e-02 3.4220235768577495e-02 3.3638990405649889e-02 3.3138412685683204e-02 3.2711128223609165e-02 3.2349672234237570e-02 3.2048411097786542e-02 3.1800360530242204e-02 3.1599886452483766e-02 3.1440631644230319e-02 3.1316765812118764e-02 3.1220496148075812e-02 3.1144353783835149e-02 3.1082367265413982e-02 3.1029069793782105e-02 3.0979416281450480e-02 3.0944489591730167e-02 3.0909289149893673e-02 3.0873400508238044e-02 3.0835821034544242e-02 3.0797056826416928e-02 3.0756032493997183e-02 3.0713923061969389e-02 3.0667269624961500e-02 3.0617339383328279e-02 3.0563213353398688e-02 3.0504173905504309e-02 3.0439349019108490e-02 3.0367756344905635e-02 3.0288025533917268e-02 3.0200126302896115e-02 3.0101010243330433e-02 2.9989882593072486e-02 2.9865130876796622e-02 2.9725019859572169e-02 2.9567760094035823e-02 2.9391556753534914e-02 2.9194464371099505e-02 2.8976567465185434e-02 2.8734311863568847e-02 2.8468420255793891e-02 2.8179508059166924e-02 2.7869841656125268e-02 2.7543276916633674e-02 2.7207152782988828e-02 2.6872426191350052e-02 2.6556815496313790e-02 2.6283041922930673e-02 2.6086226209213068e-02 2.6015466292514593e-02 2.6141998575609161e-02 2.6569602475555516e-02 2.7455536584340419e-02 2.9048770162273509e-02 3.1768503097590724e-02 1.4007529053250115e-03 +3.6858760826115770e+01 4.0364619854923611e-01 4.0259475918161031e-01 4.0250798846903552e-01 4.0237687330952371e-01 4.0220570732060895e-01 4.0201410394921483e-01 4.0181617466311137e-01 4.0159325971428528e-01 4.0131764585375895e-01 4.0097201289852963e-01 4.0054561494294144e-01 4.0002548792458187e-01 3.9939548083885529e-01 3.9863694831529639e-01 3.9772902136560884e-01 3.9664756984720828e-01 3.9536377074902390e-01 3.9384385168935576e-01 3.9204895895351766e-01 3.8993471085530557e-01 3.8745080611401683e-01 3.8453995877287417e-01 3.8112809408026621e-01 3.7708691463819421e-01 3.7226529920603924e-01 3.6660941408258307e-01 3.6009138019171655e-01 3.5264552046659614e-01 3.4419483738995421e-01 3.3466943024889151e-01 3.2401486775178723e-01 3.1219960623116799e-01 2.9922286547919136e-01 2.8512250322758942e-01 2.6998201195653049e-01 2.5393540969539535e-01 2.3716882321970134e-01 2.1991748905381492e-01 2.0245742367044567e-01 1.8509158092456149e-01 1.6689282034212555e-01 1.4953139716308805e-01 1.3332934454674114e-01 1.1853609522112947e-01 1.0531188639608288e-01 9.3722515048413113e-02 8.3745528764357910e-02 7.5285689114774387e-02 6.8196114329273833e-02 6.2300590658915592e-02 5.7414171490053872e-02 5.3360149356891255e-02 4.9981100601226090e-02 4.7141687641838813e-02 4.4731726442142121e-02 4.2665406921265477e-02 4.0876564443064978e-02 3.9315656287547469e-02 3.7945226701572410e-02 3.6737979546800269e-02 3.5672083730020468e-02 3.4731613992915050e-02 3.3902537440288739e-02 3.3174927929980093e-02 3.2538934177536415e-02 3.1986250648846311e-02 3.1510266056309584e-02 3.1103970621132938e-02 3.0760267923920864e-02 3.0473802227499940e-02 3.0237933278991967e-02 3.0047304154200479e-02 2.9895870216307043e-02 2.9778087590190749e-02 2.9686546178773820e-02 2.9614143940511622e-02 2.9555202491426975e-02 2.9504523407878531e-02 2.9457309410555566e-02 2.9424098746984328e-02 2.9390627795575587e-02 2.9356502463272934e-02 2.9320769376156929e-02 2.9283909764137118e-02 2.9244901096411403e-02 2.9204860552354481e-02 2.9160499329810768e-02 2.9113022300382829e-02 2.9061555632604760e-02 2.9005416955898578e-02 2.8943777094424732e-02 2.8875701964451279e-02 2.8799888568355098e-02 2.8716307999787187e-02 2.8622061782172498e-02 2.8516394135910769e-02 2.8397771811178450e-02 2.8264544830231140e-02 2.8115011666538941e-02 2.7947465678688332e-02 2.7760057007999103e-02 2.7552865914066575e-02 2.7322513001091238e-02 2.7069685387437148e-02 2.6794968253926878e-02 2.6500516629723712e-02 2.6189996935456820e-02 2.5870387530513548e-02 2.5552107025433084e-02 2.5252003123174174e-02 2.4991680826742881e-02 2.4804535232409195e-02 2.4737251973929415e-02 2.4857567366975673e-02 2.5264161857480903e-02 2.6106567482321905e-02 2.7621520958579233e-02 3.0207625549990527e-02 1.3297535704800889e-03 +3.6915389740173062e+01 3.8445697026736830e-01 3.8343293071507778e-01 3.8335025035226572e-01 3.8322529054453119e-01 3.8306211476595081e-01 3.8287937739154237e-01 3.8269051720470959e-01 3.8247777335172650e-01 3.8221474719975329e-01 3.8188492121294743e-01 3.8147803774262473e-01 3.8098172711513778e-01 3.8038058133306091e-01 3.7965681206279411e-01 3.7879050973143930e-01 3.7775865440527312e-01 3.7653374989003463e-01 3.7508357940741421e-01 3.7337108040377404e-01 3.7135391976377902e-01 3.6898412119083013e-01 3.6620705114817631e-01 3.6295206912745931e-01 3.5909682113188446e-01 3.5449719402009472e-01 3.4910190880503772e-01 3.4288447653645787e-01 3.3578237799109428e-01 3.2772232975389709e-01 3.1863786004492167e-01 3.0847729882134373e-01 2.9721085350125692e-01 2.8483811562350958e-01 2.7139555862647041e-01 2.5696318925322442e-01 2.4166918042010804e-01 2.2569134061769361e-01 2.0925420799106972e-01 1.9262106144403471e-01 1.7608068394428195e-01 1.5875039039429795e-01 1.4222094313248312e-01 1.2679858556096613e-01 1.1272021135242176e-01 1.0013764901781835e-01 8.9112768683410656e-02 7.9623470783002401e-02 7.1578479705099590e-02 6.4837511992253682e-02 5.9232525201836236e-02 5.4587310828417418e-02 5.0733618154599848e-02 4.7521631064307797e-02 4.4822604955305982e-02 4.2531757694509342e-02 4.0567508462734894e-02 3.8866967618591326e-02 3.7383053212686951e-02 3.6080174383503805e-02 3.4932396730026689e-02 3.3918978292949820e-02 3.3024788873181797e-02 3.2236494692081348e-02 3.1544664341681170e-02 3.0939935910313042e-02 3.0414415885112765e-02 2.9961820632769171e-02 2.9575487016155744e-02 2.9248668867785377e-02 2.8976274674920817e-02 2.8751991330020186e-02 2.8570725479734837e-02 2.8426729757266584e-02 2.8314732687376890e-02 2.8227688158509453e-02 2.8158843006170633e-02 2.8102797587045383e-02 2.8054608726918406e-02 2.8009714827639413e-02 2.7978136186055769e-02 2.7946310061043561e-02 2.7913861718246880e-02 2.7879884630777427e-02 2.7844836378402852e-02 2.7807744700534431e-02 2.7769671768950368e-02 2.7727490549246826e-02 2.7682346639091349e-02 2.7633409148872919e-02 2.7580029240983010e-02 2.7521418486999235e-02 2.7456688705873165e-02 2.7384600953201919e-02 2.7305127637910785e-02 2.7215512867568088e-02 2.7115037940237018e-02 2.7002244953329434e-02 2.6875565012577721e-02 2.6733380208248652e-02 2.6574067767214288e-02 2.6395868757580300e-02 2.6198859394128263e-02 2.5979826493747606e-02 2.5739423348301073e-02 2.5478206382177598e-02 2.5198224722480435e-02 2.4902964614567979e-02 2.4599061486724853e-02 2.4296421975619969e-02 2.4011065759165590e-02 2.3763536253991656e-02 2.3585587393733350e-02 2.3521610598121082e-02 2.3636013438888655e-02 2.4022627002374276e-02 2.4823635011041220e-02 2.6264140461865038e-02 2.8723158275994448e-02 1.2623440079600869e-03 +3.6972018654230354e+01 3.6617598030375875e-01 3.6517860088307891e-01 3.6509981893942317e-01 3.6498073201389641e-01 3.6482517645211165e-01 3.6465089775302012e-01 3.6447069405151994e-01 3.6426766068663702e-01 3.6401665141411588e-01 3.6370191458941326e-01 3.6331365877427213e-01 3.6284008159402703e-01 3.6226648409981627e-01 3.6157589588458489e-01 3.6074932297552753e-01 3.5976480491249396e-01 3.5859611165404703e-01 3.5721251085692757e-01 3.5557864911241804e-01 3.5365414795396699e-01 3.5139324933018340e-01 3.4874385013661868e-01 3.4563858594900004e-01 3.4196077267176522e-01 3.3757298244878953e-01 3.3242637063394670e-01 3.2649576982775169e-01 3.1972166793224488e-01 3.1203431780047458e-01 3.0337050978622065e-01 2.9368119664708070e-01 2.8293824245997645e-01 2.7114157724629284e-01 2.5832633589885068e-01 2.4456918103283057e-01 2.2999269124833335e-01 2.1476672389214665e-01 1.9910560016898474e-01 1.8326044372033715e-01 1.6750652379378048e-01 1.5100348947894193e-01 1.3526636978555134e-01 1.2058638672403493e-01 1.0718852010341703e-01 9.5216625869338961e-02 8.4728872716417325e-02 7.5703533477364596e-02 6.8053137213907725e-02 6.1643707217556062e-02 5.6314997458665188e-02 5.1899128075075074e-02 4.8235903156039740e-02 4.5182748695168022e-02 4.2617193606165941e-02 4.0439594113975137e-02 3.8572391156797094e-02 3.6955808666891181e-02 3.5545103727019960e-02 3.4306457868258144e-02 3.3215230741706188e-02 3.2251715378003414e-02 3.1401537081684916e-02 3.0652026479158496e-02 2.9994222321538349e-02 2.9419227841847403e-02 2.8919541178208025e-02 2.8489190168389040e-02 2.8121841234290394e-02 2.7811081233747110e-02 2.7552069889008570e-02 2.7338805177857722e-02 2.7166444396726819e-02 2.7029522882691503e-02 2.6923028225429347e-02 2.6840260485940994e-02 2.6774798302100996e-02 2.6721507139444729e-02 2.6675686586899498e-02 2.6632999191312803e-02 2.6602972663703751e-02 2.6572710829404374e-02 2.6541857365267693e-02 2.6509550298005891e-02 2.6476224715175110e-02 2.6440956163976941e-02 2.6404754507506793e-02 2.6364646550679230e-02 2.6321721522799393e-02 2.6275189373496939e-02 2.6224433156353224e-02 2.6168703195130320e-02 2.6107154964039463e-02 2.6038610434455919e-02 2.5963043271703359e-02 2.5877833178447014e-02 2.5782296718259028e-02 2.5675047646475501e-02 2.5554594182226848e-02 2.5419397938508316e-02 2.5267915903902795e-02 2.5098475620146023e-02 2.4911149460522697e-02 2.4702882308886266e-02 2.4474295289978996e-02 2.4225917479801608e-02 2.3959697288568105e-02 2.3678949608389087e-02 2.3389983727437114e-02 2.3102219375450261e-02 2.2830888752963751e-02 2.2595525662182189e-02 2.2426323233763361e-02 2.2365491004700189e-02 2.2474270790971355e-02 2.2841881759359476e-02 2.3603519114955028e-02 2.4973221758246619e-02 2.7311375383862125e-02 1.1983431969681151e-03 +3.7028647568287646e+01 3.4876046806020877e-01 3.4778903163441321e-01 3.4771396085332124e-01 3.4760047161308055e-01 3.4745218304077946e-01 3.4728597350364432e-01 3.4711403220497883e-01 3.4692026942927695e-01 3.4668073189054660e-01 3.4638039877571791e-01 3.4600992377471818e-01 3.4555804596544026e-01 3.4501074302543866e-01 3.4435182513636553e-01 3.4356317209597331e-01 3.4262383448269573e-01 3.4150879049924937e-01 3.4018872430076791e-01 3.3862991333309894e-01 3.3679384413318303e-01 3.3463687501974215e-01 3.3210931690003576e-01 3.2914693050832716e-01 3.2563844064517000e-01 3.2145279668576510e-01 3.1654347357933554e-01 3.1088656025032796e-01 3.0442540814387603e-01 2.9709363699642588e-01 2.8883114053731024e-01 2.7959136274106572e-01 2.6934773488681985e-01 2.5810049450974548e-01 2.4588348248170916e-01 2.3277015335026555e-01 2.1887773164336194e-01 2.0436847473239331e-01 1.8944694691080485e-01 1.7435267252269493e-01 1.5934803407522033e-01 1.4363299433258872e-01 1.2865043195810782e-01 1.1467727884996207e-01 1.0192719523931602e-01 9.0536478274638912e-02 8.0559808075627196e-02 7.1975846677654179e-02 6.4700775598933030e-02 5.8606645941594475e-02 5.3540650184623659e-02 4.9342846654521225e-02 4.5860711263774695e-02 4.2958564120668244e-02 4.0519903580946502e-02 3.8449973471443188e-02 3.6675039114541910e-02 3.5138284514670437e-02 3.3797190045036812e-02 3.2619621699426601e-02 3.1582168846781368e-02 3.0666108045161837e-02 2.9857782507746785e-02 2.9145154271639901e-02 2.8519708888200185e-02 2.7972991702240067e-02 2.7497873135939786e-02 2.7088677111521336e-02 2.6739383365714794e-02 2.6443895399391636e-02 2.6197611816445952e-02 2.5994826405236402e-02 2.5830934822050036e-02 2.5700741252492981e-02 2.5599479666430319e-02 2.5520779352890068e-02 2.5458534509507347e-02 2.5407862743160207e-02 2.5364294527668519e-02 2.5323705581392499e-02 2.5295155156928591e-02 2.5266381005565400e-02 2.5237044314071724e-02 2.5206325480895037e-02 2.5174638203143310e-02 2.5141103493380841e-02 2.5106681473095135e-02 2.5068545245081647e-02 2.5027730434042848e-02 2.4983485828831756e-02 2.4935224812352354e-02 2.4882234562848885e-02 2.4823712071751946e-02 2.4758537241977803e-02 2.4686684938965212e-02 2.4605663812642398e-02 2.4514823968150485e-02 2.4412847309501291e-02 2.4298315392710056e-02 2.4169765458885072e-02 2.4025730352288856e-02 2.3864619852316464e-02 2.3686502683942626e-02 2.3488474049808947e-02 2.3271124485893465e-02 2.3034957059091633e-02 2.2781824395184419e-02 2.2514878424637067e-02 2.2240118267615083e-02 2.1966500591367222e-02 2.1708508688835334e-02 2.1484716185357106e-02 2.1323831848781727e-02 2.1265990186079893e-02 2.1369422296158753e-02 2.1718961285937328e-02 2.2443156092151119e-02 2.3745523360652290e-02 2.5968731897025487e-02 1.1375792192022910e-03 +3.7085276482344938e+01 3.3216965572178964e-01 3.3122346840789973e-01 3.3115193891105221e-01 3.3104378518931454e-01 3.3090242432807843e-01 3.3074391259329089e-01 3.3057985732230649e-01 3.3039494499323807e-01 3.3016635859323212e-01 3.2987977464292384e-01 3.2952627181519845e-01 3.2909510598195435e-01 3.2857290049029453e-01 3.2794421046675154e-01 3.2719174954474989e-01 3.2629553310702297e-01 3.2523169231888510e-01 3.2397226298307152e-01 3.2248507867168652e-01 3.2073340535959222e-01 3.1867562050575710e-01 3.1626433792614445e-01 3.1343829949043545e-01 3.1009138981801121e-01 3.0609864155395633e-01 3.0141573986499925e-01 2.9601996795629631e-01 2.8985740403774857e-01 2.8286487339261268e-01 2.7498522202836534e-01 2.6617426007798745e-01 2.5640690128313526e-01 2.4568366187542315e-01 2.3403713202303761e-01 2.2153768892351941e-01 2.0829743315656257e-01 1.9447135799747739e-01 1.8025471038861279e-01 1.6587594617536908e-01 1.5158515928981514e-01 1.3662070158340264e-01 1.2235671599914355e-01 1.0905654028801233e-01 9.6923079998810682e-02 8.6085466019373114e-02 7.6595090872380645e-02 6.8431020071809304e-02 6.1512941104198887e-02 5.5718666036563294e-02 5.0902484182250955e-02 4.6912019738731901e-02 4.3602055529936276e-02 4.0843474395731126e-02 3.8525454712257060e-02 3.6557889324536325e-02 3.4870680204882744e-02 3.3409825461837947e-02 3.2134918719647770e-02 3.1015426849518697e-02 3.0029107789895433e-02 2.9158172712664288e-02 2.8389647008646220e-02 2.7712092763760597e-02 2.7117420127078667e-02 2.6597594658730579e-02 2.6145840652357338e-02 2.5756763485151699e-02 2.5424640762409412e-02 2.5143677048427775e-02 2.4909498080578150e-02 2.4716678930309145e-02 2.4560841923960557e-02 2.4437046916824186e-02 2.4340762192876959e-02 2.4265930150567508e-02 2.4206745096919488e-02 2.4158564444210238e-02 2.4117138251956376e-02 2.4078544971544262e-02 2.4051398347419782e-02 2.4024039008223797e-02 2.3996144793508849e-02 2.3966936398130714e-02 2.3936807176478586e-02 2.3904921378570511e-02 2.3872191825726856e-02 2.3835930745604351e-02 2.3797122786957167e-02 2.3755053675437170e-02 2.3709165637669227e-02 2.3658780901077682e-02 2.3603135940769834e-02 2.3541165752493071e-02 2.3472846348025957e-02 2.3395809001377221e-02 2.3309435719304147e-02 2.3212473216301176e-02 2.3103572793069321e-02 2.2981343614361448e-02 2.2844390664425250e-02 2.2691201931114863e-02 2.2521842674490873e-02 2.2333551046346514e-02 2.2126888494999067e-02 2.1902333352213529e-02 2.1661647151071370e-02 2.1407826842779719e-02 2.1146576572374134e-02 2.0886412625856120e-02 2.0641106076697772e-02 2.0428317399489387e-02 2.0275343710314007e-02 2.0220346126347655e-02 2.0318692504869330e-02 2.0651044734574301e-02 2.1339631037008335e-02 2.2577961212772422e-02 2.4691855009462280e-02 1.0798888025294038e-03 +3.7141905396402230e+01 3.1636469113174687e-01 3.1544307648979530e-01 3.1537491918835359e-01 3.1527185257288809e-01 3.1513709760062986e-01 3.1498592925823699e-01 3.1482940070436943e-01 3.1465293752749612e-01 3.1443480513090644e-01 3.1416134532225537e-01 3.1382404251944024e-01 3.1341264585816270e-01 3.1291439480092237e-01 3.1231455539014918e-01 3.1159663697242113e-01 3.1074157559955251e-01 3.0972660262779755e-01 3.0852504360533800e-01 3.0710621690033046e-01 3.0543508625755700e-01 3.0347195548107775e-01 3.0117163526898089e-01 2.9847571119195887e-01 2.9528298999984498e-01 2.9147430709707067e-01 2.8700745360868696e-01 2.8186084800976263e-01 2.7598316497717335e-01 2.6931428167659827e-01 2.6179985258902061e-01 2.5339793515299908e-01 2.4408484530527208e-01 2.3386135117733875e-01 2.2275883435681187e-01 2.1084472026608347e-01 1.9822620595835422e-01 1.8505134185575492e-01 1.7150647753882095e-01 1.5780950711444511e-01 1.4419880660081943e-01 1.2994928374580569e-01 1.1636959989291019e-01 1.0371016098870134e-01 9.2163654844633958e-02 8.1852418469538543e-02 7.2824746535217838e-02 6.5060119988397599e-02 5.8481591329527273e-02 5.2972478326281089e-02 4.8393840956515700e-02 4.4600514274467810e-02 4.1454240330045015e-02 3.8832149135811379e-02 3.6628823617843434e-02 3.4758578640429832e-02 3.3154774262298826e-02 3.1766083893448420e-02 3.0554109792874099e-02 2.9489840254473682e-02 2.8552143666558834e-02 2.7724119324802423e-02 2.6993440838291916e-02 2.6349240532055285e-02 2.5783832049738775e-02 2.5289580350818432e-02 2.4860046095005885e-02 2.4490102205379793e-02 2.4174309468171128e-02 2.3907158695220018e-02 2.3684491584841542e-02 2.3501150674737830e-02 2.3352973842639464e-02 2.3235264078196902e-02 2.3143712501932413e-02 2.3072559289290123e-02 2.3016284159664228e-02 2.2970472596015933e-02 2.2931083495061729e-02 2.2894388111931983e-02 2.2868576513108314e-02 2.2842562671035096e-02 2.2816040262334115e-02 2.2788268304350278e-02 2.2759620805459350e-02 2.2729303133792879e-02 2.2698183132797072e-02 2.2663705332101429e-02 2.2626805904872982e-02 2.2586805703916309e-02 2.2543174386484517e-02 2.2495267511981051e-02 2.2442359104812327e-02 2.2383436553506678e-02 2.2318476964642963e-02 2.2245228222126431e-02 2.2163102674156034e-02 2.2070908670510356e-02 2.1967363839549461e-02 2.1851145745991136e-02 2.1720927979635717e-02 2.1575272904300315e-02 2.1414242489382947e-02 2.1235210825960981e-02 2.1038711702497034e-02 2.0825199927467307e-02 2.0596350404080060e-02 2.0355012697087168e-02 2.0106610428053288e-02 1.9859241076352056e-02 1.9625998393613984e-02 1.9423674435667778e-02 1.9278223829982878e-02 1.9225930984776960e-02 1.9319440795297568e-02 1.9635448290842503e-02 2.0290170646192020e-02 2.1467601077833430e-02 2.3477535761676736e-02 1.0251168874607559e-03 +3.7198534310459522e+01 3.0130853308672456e-01 3.0041083302050170e-01 3.0034589328269656e-01 3.0024767381436535e-01 3.0011921852197931e-01 2.9997505530886093e-01 2.9982571056575913e-01 2.9965731324292610e-01 2.9944916012468881e-01 2.9918822763376579e-01 2.9886638756801170e-01 2.9847385986848390e-01 2.9799847189938206e-01 2.9742616813345651e-01 2.9674121723669200e-01 2.9592543380080810e-01 2.9495709899903616e-01 2.9381076903595210e-01 2.9245717899282142e-01 2.9086291243598961e-01 2.8899011095387278e-01 2.8679568094621039e-01 2.8422392054153472e-01 2.8117833180217328e-01 2.7754528522310368e-01 2.7328457850927379e-01 2.6837570927898197e-01 2.6276982455750220e-01 2.5640970703648674e-01 2.4924368280948223e-01 2.4123194367076797e-01 2.3235213172588220e-01 2.2260524210250024e-01 2.1202148875609506e-01 2.0066546595723203e-01 1.8863967835099379e-01 1.7608554074146657e-01 1.6318090662592738e-01 1.5013359216951444e-01 1.3717079988456088e-01 1.2360224730653992e-01 1.1067421528341130e-01 9.8624808287989724e-02 8.7637006758351510e-02 7.7826707075726642e-02 6.9239285187618876e-02 6.1854647296699802e-02 5.5599075307756159e-02 5.0361148516387837e-02 4.6008386206058509e-02 4.2402495780946001e-02 3.9411847251229433e-02 3.6919517317768699e-02 3.4825231268815628e-02 3.3047510014626962e-02 3.1523001862148292e-02 3.0202923535323695e-02 2.9050786468686030e-02 2.8039024851549015e-02 2.7147562281781269e-02 2.6360341992659457e-02 2.5665653536529092e-02 2.5053171143268046e-02 2.4515591893052392e-02 2.4045660356227933e-02 2.3637256916086903e-02 2.3285508817368034e-02 2.2985246061090477e-02 2.2731231617240045e-02 2.2519512520022263e-02 2.2345185632696943e-02 2.2204293809033153e-02 2.2092371249893231e-02 2.2005320994809119e-02 2.1937666411657803e-02 2.1884158652104937e-02 2.1840600106983795e-02 2.1803148285852659e-02 2.1768257802649613e-02 2.1743715810540663e-02 2.1718981533237182e-02 2.1693763708830541e-02 2.1667357799311424e-02 2.1640119415141920e-02 2.1611293026857638e-02 2.1581703708501130e-02 2.1548921802285077e-02 2.1513837383903424e-02 2.1475804712018629e-02 2.1434319530317634e-02 2.1388769096925161e-02 2.1338463145460111e-02 2.1282438888962842e-02 2.1220674479657888e-02 2.1151028690959334e-02 2.1072942728383039e-02 2.0985283556667563e-02 2.0886831881624691e-02 2.0776330316168899e-02 2.0652517693824580e-02 2.0514027108868155e-02 2.0360917405543664e-02 2.0190691946893841e-02 2.0003858219432340e-02 1.9800848660977956e-02 1.9583255789992808e-02 1.9353789007018101e-02 1.9117605156448388e-02 1.8882403432761163e-02 1.8660633460169766e-02 1.8468261424812154e-02 1.8329965253202747e-02 1.8280244607119255e-02 1.8369154853138031e-02 1.8669618546505472e-02 1.9292136370889383e-02 2.0411651293235827e-02 2.2322721117213500e-02 9.7311621529476010e-04 +3.7255163224516814e+01 2.8696588249895127e-01 2.8609145850373602e-01 2.8602958249606197e-01 2.8593598522554797e-01 2.8581353635059675e-01 2.8567605561166193e-01 2.8553356740252211e-01 2.8537286983713056e-01 2.8517424267550179e-01 2.8492526761282905e-01 2.8461818629617441e-01 2.8424366803357465e-01 2.8379010115805076e-01 2.8324407755993475e-01 2.8259059048337148e-01 2.8181229284488613e-01 2.8088846754981167e-01 2.7979484505871682e-01 2.7850351218116759e-01 2.7698259791142454e-01 2.7519599710171427e-01 2.7310261530064267e-01 2.7064933805599445e-01 2.6774414630118282e-01 2.6427869021290623e-01 2.6021467935074039e-01 2.5553263709527507e-01 2.5018606458859172e-01 2.4412051065617785e-01 2.3728684275579334e-01 2.2964727969909668e-01 2.2118071775435397e-01 2.1188835592167579e-01 2.0179928031046118e-01 1.9097536989952996e-01 1.7951463912460117e-01 1.6755216099965584e-01 1.5525767632859561e-01 1.4282938519675922e-01 1.3048383596111870e-01 1.1756389280513610e-01 1.0525641130987248e-01 9.3787794326067431e-02 8.3331800007174495e-02 7.3998219198245271e-02 6.5829678209528383e-02 5.8806516370724850e-02 5.2858114542479510e-02 4.7878079996317560e-02 4.3740094110446812e-02 4.0312413880021429e-02 3.7469721660696446e-02 3.5100754716703951e-02 3.3110131156888448e-02 3.1420372457522855e-02 2.9971253636482641e-02 2.8716409226766722e-02 2.7621165282863701e-02 2.6659330096721834e-02 2.5811829972616947e-02 2.5063410085378400e-02 2.4402945256693977e-02 2.3820624689876117e-02 2.3309509837086621e-02 2.2862706067990804e-02 2.2474397667509534e-02 2.2139953628950857e-02 2.1854459888477278e-02 2.1612938175615846e-02 2.1411630756170651e-02 2.1245876321532322e-02 2.1111912642921924e-02 2.1005493791765840e-02 2.0922724341880510e-02 2.0858396980481891e-02 2.0807520993564543e-02 2.0766105061218669e-02 2.0730495580018528e-02 2.0697321538724577e-02 2.0673986928022504e-02 2.0650469501588050e-02 2.0626492321093693e-02 2.0601385507071947e-02 2.0575487173904086e-02 2.0548078977151604e-02 2.0519945321984274e-02 2.0488776190886238e-02 2.0455417824008178e-02 2.0419256248539019e-02 2.0379812016054523e-02 2.0336502529787300e-02 2.0288671482392346e-02 2.0235403468579941e-02 2.0176677639178551e-02 2.0110458216295337e-02 2.0036213850903564e-02 1.9952867249883748e-02 1.9859259104966265e-02 1.9754193889024482e-02 1.9636472481629367e-02 1.9504795239993239e-02 1.9359218040436228e-02 1.9197367176349921e-02 1.9019725123852770e-02 1.8826703046531803e-02 1.8619815115871297e-02 1.8401637437984619e-02 1.8177073155379780e-02 1.7953442697696612e-02 1.7742583135502647e-02 1.7559675257755644e-02 1.7428182866009681e-02 1.7380908349263223e-02 1.7465444465162339e-02 1.7751126191718637e-02 1.8343017898559265e-02 1.9407455874132715e-02 2.1224506420351671e-02 9.2374693684721366e-04 +3.7311792138574106e+01 2.7330309473020614e-01 2.7245132284929124e-01 2.7239236855357546e-01 2.7230317490082145e-01 2.7218645397868441e-01 2.7205534744640475e-01 2.7191940327400732e-01 2.7176605582455249e-01 2.7157652173891544e-01 2.7133895994180923e-01 2.7104596519571822e-01 2.7068863570705054e-01 2.7025589506921160e-01 2.6973495298270411e-01 2.6911149410783819e-01 2.6836897129814080e-01 2.6748762329377856e-01 2.6644430097547955e-01 2.6521238085688958e-01 2.6376146635738396e-01 2.6205712493320787e-01 2.6006016914476815e-01 2.5771995255198354e-01 2.5494872842630467e-01 2.5164318291658766e-01 2.4776684715139158e-01 2.4330121950420536e-01 2.3820204261261108e-01 2.3241749868014039e-01 2.2590087257507926e-01 2.1861630812436258e-01 2.1054388756774886e-01 2.0168499231787201e-01 1.9206761928417812e-01 1.8175104342829362e-01 1.7082898262371030e-01 1.5943044909128209e-01 1.4771743722960548e-01 1.3587897195491599e-01 1.2412144290271671e-01 1.1181927681348834e-01 1.0010272016699333e-01 8.9187045025855741e-02 7.9237248311616423e-02 7.0357333188757878e-02 6.2587335926568788e-02 5.5908035066652956e-02 5.0251784959077325e-02 4.5516997469990196e-02 4.1583232375221074e-02 3.8324988524518981e-02 3.5622959921900982e-02 3.3371271948237198e-02 3.1479198031698755e-02 2.9873064720745669e-02 2.8495620104549101e-02 2.7302797185679736e-02 2.6261646746431683e-02 2.5347282938734637e-02 2.4541584872620606e-02 2.3830059750262984e-02 2.3202138510801478e-02 2.2648499733208555e-02 2.2162551121617122e-02 2.1737740962329902e-02 2.1368542400098892e-02 2.1050554223128196e-02 2.0779105675610251e-02 2.0549464505317857e-02 2.0358058600749879e-02 2.0200456595754191e-02 2.0073081612141889e-02 1.9971896805357336e-02 1.9893198405685007e-02 1.9832035223518295e-02 1.9783662030252148e-02 1.9744283694366021e-02 1.9710426248043911e-02 1.9678884509321568e-02 1.9656698092780051e-02 1.9634337865251338e-02 1.9611540510086265e-02 1.9587669107558516e-02 1.9563045133655914e-02 1.9536985605307301e-02 1.9510236256530318e-02 1.9480600839473738e-02 1.9448883909985424e-02 1.9414501706515697e-02 1.9376998372393945e-02 1.9335819978164342e-02 1.9290342510808245e-02 1.9239695623198508e-02 1.9183859419772478e-02 1.9120898396441145e-02 1.9050307306645156e-02 1.8971061866821747e-02 1.8882059813974138e-02 1.8782164448474289e-02 1.8670235654292679e-02 1.8545037753438551e-02 1.8406623803642001e-02 1.8252736996966359e-02 1.8083836027468974e-02 1.7900311827380083e-02 1.7703604061932006e-02 1.7496162077091978e-02 1.7282647750415742e-02 1.7070021313725148e-02 1.6869537315965862e-02 1.6695629645574184e-02 1.6570607499983458e-02 1.6525659198073854e-02 1.6606035611588639e-02 1.6877660010576771e-02 1.7440426948315751e-02 1.8452487948838116e-02 2.0180128216980828e-02 8.7687624074369653e-04 +3.7368421052631398e+01 2.6028809667019853e-01 2.5945837546221179e-01 2.5940220453938989e-01 2.5931720891333515e-01 2.5920594971187699e-01 2.5908092348870193e-01 2.5895122482674882e-01 2.5880489359942010e-01 2.5862403923289362e-01 2.5839737111225652e-01 2.5811782114291965e-01 2.5777689688372174e-01 2.5736403265097468e-01 2.5686702769021058e-01 2.5627222642269376e-01 2.5556384499865842e-01 2.5472303418042336e-01 2.5372771388550458e-01 2.5255249113241068e-01 2.5116837600198438e-01 2.4954253157868922e-01 2.4763758951321063e-01 2.4540525744341535e-01 2.4276186390162577e-01 2.3960889846903735e-01 2.3591162778819846e-01 2.3165247694307819e-01 2.2678932279201219e-01 2.2127285448257825e-01 2.1505865633370902e-01 2.0811270026020429e-01 2.0041618989685520e-01 1.9197066917042860e-01 1.8280308331458772e-01 1.7297021013665592e-01 1.6256165639697603e-01 1.5170064223984295e-01 1.4054176559826556e-01 1.2926529711762416e-01 1.1806794032023299e-01 1.0635417572539364e-01 9.5200324309061821e-02 8.4811070554160400e-02 7.5343088347556389e-02 6.6894894669376079e-02 5.9504086372529089e-02 5.3151885664269857e-02 4.7773499726621795e-02 4.3271931376489416e-02 3.9532347998246328e-02 3.6435196890582486e-02 3.3866897227171240e-02 3.1726703087617401e-02 2.9928317181080064e-02 2.8401685138217558e-02 2.7092381993171641e-02 2.5958525742827174e-02 2.4968806439379859e-02 2.4099579227784756e-02 2.3333628596771912e-02 2.2657185841109581e-02 2.2060210312082107e-02 2.1533845634447938e-02 2.1071828542198790e-02 2.0667933238758183e-02 2.0316907428789829e-02 2.0014568330682592e-02 1.9756476490317577e-02 1.9538133557409274e-02 1.9356143905470091e-02 1.9206294807074257e-02 1.9085185635594970e-02 1.8988978371059829e-02 1.8914151504641038e-02 1.8855997417904256e-02 1.8810004336049842e-02 1.8772563707747637e-02 1.8740372400734170e-02 1.8710382933954797e-02 1.8689288414710979e-02 1.8668028647175716e-02 1.8646353268853440e-02 1.8623656703782857e-02 1.8600244605418141e-02 1.8575467617510836e-02 1.8550034702904679e-02 1.8521857799673622e-02 1.8491701825616578e-02 1.8459011749039647e-02 1.8423354148358276e-02 1.8384202355803417e-02 1.8340963069287543e-02 1.8292808789736645e-02 1.8239720532315502e-02 1.8179858144853480e-02 1.8112741205672304e-02 1.8037395841634642e-02 1.7952774037967141e-02 1.7857795038181662e-02 1.7751374837541741e-02 1.7632338585830885e-02 1.7500736664010096e-02 1.7354423425990601e-02 1.7193834951994169e-02 1.7019342934858898e-02 1.6832316186662689e-02 1.6635083508488066e-02 1.6432077342472932e-02 1.6229915382971860e-02 1.6039298222594495e-02 1.5873949466169289e-02 1.5755080320996269e-02 1.5712344175460444e-02 1.5788764842833893e-02 1.6047021165981903e-02 1.6582091365223706e-02 1.7544343510284659e-02 1.9186957421060198e-02 8.3237800029943966e-04 +3.7425049966688690e+01 2.4789032462265623e-01 2.4708206757141532e-01 2.4702854915542147e-01 2.4694755572336477e-01 2.4684150388416448e-01 2.4672227818649609e-01 2.4659853989077210e-01 2.4645890605671888e-01 2.4628633670333228e-01 2.4607006614241661e-01 2.4580334817965305e-01 2.4547808105918609e-01 2.4508418640123397e-01 2.4461002601274770e-01 2.4404257386196346e-01 2.4336677441943688e-01 2.4256464865312022e-01 2.4161513647189395e-01 2.4049401889909014e-01 2.3917364800476074e-01 2.3762270904324007e-01 2.3580556885963622e-01 2.3367618045677521e-01 2.3115475957783826e-01 2.2814737735881366e-01 2.2462095393680936e-01 2.2055879518819138e-01 2.1592081001243332e-01 2.1066007409052093e-01 2.0473435893966008e-01 1.9811137245876151e-01 1.9077337852966736e-01 1.8272206515768694e-01 1.7398336232163802e-01 1.6461165329319224e-01 1.5469261131031101e-01 1.4434392140516369e-01 1.3371311935619448e-01 1.2297212332288669e-01 1.1230840153649219e-01 1.0115505126965728e-01 9.0537025219668693e-02 8.0648937196865958e-02 7.1639554519198970e-02 6.3602193951072333e-02 5.6572155074082475e-02 5.0531106727319856e-02 4.5416992907602351e-02 4.1137203061933046e-02 3.7582253723044606e-02 3.4638260902755340e-02 3.2197096017245005e-02 3.0162894837414609e-02 2.8453574228201509e-02 2.7002521956718366e-02 2.5758001023669996e-02 2.4680206522389683e-02 2.3739386533702864e-02 2.2913075537933186e-02 2.2184918327171378e-02 2.1541834235341336e-02 2.0974284695973441e-02 2.0473855254965555e-02 2.0034595307603674e-02 1.9650588814748376e-02 1.9316844446374472e-02 1.9029387046403480e-02 1.8783997046399804e-02 1.8576398476305503e-02 1.8403363505052683e-02 1.8260887293896789e-02 1.8145736813647308e-02 1.8054263111018102e-02 1.7983118001315149e-02 1.7927825498011359e-02 1.7884095835943602e-02 1.7848497904473518e-02 1.7817891036262443e-02 1.7789377719733400e-02 1.7769321550643962e-02 1.7749108275611238e-02 1.7728499851226390e-02 1.7706920508305871e-02 1.7684660853790207e-02 1.7661103508433591e-02 1.7636922470841660e-02 1.7610132554388321e-02 1.7581460984883609e-02 1.7550380051604437e-02 1.7516477667746257e-02 1.7479253090332457e-02 1.7438142222075709e-02 1.7392358309975365e-02 1.7341883238789043e-02 1.7284967527117726e-02 1.7221154362879788e-02 1.7149517811187731e-02 1.7069061445094007e-02 1.6978757707692790e-02 1.6877575953823231e-02 1.6764399177242307e-02 1.6639275216857118e-02 1.6500164132087106e-02 1.6347480500391056e-02 1.6181577718680649e-02 1.6003757220634580e-02 1.5816233174000102e-02 1.5623219837330917e-02 1.5431009165233938e-02 1.5249774963780584e-02 1.5092565382889521e-02 1.4979547488255456e-02 1.4938915011838479e-02 1.5011573927089543e-02 1.5257117759655691e-02 1.5765849498959979e-02 1.6680735468561608e-02 1.8242492810208063e-02 7.9013243806038953e-04 +3.7481678880745982e+01 2.3608065263119288e-01 2.3529328729061955e-01 2.3524229749980338e-01 2.3516511806548718e-01 2.3506402996949591e-01 2.3495033765199080e-01 2.3483228747925200e-01 2.3469904661517649e-01 2.3453438538574514e-01 2.3432803868957802e-01 2.3407356768504903e-01 2.3376324347511696e-01 2.3338745263274566e-01 2.3293509376745514e-01 2.3239374155358253e-01 2.3174903539907407e-01 2.3098382656326921e-01 2.3007802813576150e-01 2.2900854121976805e-01 2.2774899815510249e-01 2.2626953626500693e-01 2.2453617753502575e-01 2.2250501660579505e-01 2.2009997699828407e-01 2.1723149970115052e-01 2.1386808017401324e-01 2.0999386141926066e-01 2.0557068705215317e-01 2.0055390461571063e-01 1.9490336600563379e-01 1.8858842758879010e-01 1.8159235559565065e-01 1.7391696504430365e-01 1.6558720599841489e-01 1.5665516572836333e-01 1.4720275400782559e-01 1.3734236647515125e-01 1.2721479612602851e-01 1.1698399216231092e-01 1.0682861755583593e-01 9.6209017666274405e-02 8.6101213672220026e-02 7.6690240580790006e-02 6.8117354942245315e-02 6.0470944538031556e-02 5.3784145808623604e-02 4.8039075837893498e-02 4.3176303896536872e-02 3.9107410667405230e-02 3.5728015145955035e-02 3.2929635360950775e-02 3.0609334959861706e-02 2.8675896218098178e-02 2.7051245420791608e-02 2.5672044132684226e-02 2.4489111142825679e-02 2.3464616047717820e-02 2.2570287724871105e-02 2.1784781383630610e-02 2.1092559279732723e-02 2.0481194521293444e-02 1.9941625601425251e-02 1.9465858008299190e-02 1.9048238241416836e-02 1.8683144657740406e-02 1.8365833968776855e-02 1.8092528371878910e-02 1.7859217329669927e-02 1.7661836296059864e-02 1.7497316972126781e-02 1.7361852184340231e-02 1.7252368270158684e-02 1.7165396062142093e-02 1.7097752199474191e-02 1.7045180971258029e-02 1.7003603736631737e-02 1.6969758132118335e-02 1.6940657993235308e-02 1.6913548423987016e-02 1.6894479673945757e-02 1.6875261560496398e-02 1.6855667755295855e-02 1.6835150834035150e-02 1.6813987095228577e-02 1.6791589567437627e-02 1.6768599003538373e-02 1.6743128041305708e-02 1.6715868065399805e-02 1.6686317345959708e-02 1.6654084084517726e-02 1.6618692191248112e-02 1.6579605341132911e-02 1.6536075527955933e-02 1.6488085466825998e-02 1.6433971894905121e-02 1.6373300453655058e-02 1.6305190795029172e-02 1.6228695549516878e-02 1.6142837750326811e-02 1.6046637494457502e-02 1.5939032781777707e-02 1.5820069037041497e-02 1.5687806835659394e-02 1.5542640308988069e-02 1.5384905455452689e-02 1.5215839635208145e-02 1.5037548005576608e-02 1.4854037343497304e-02 1.4671289841034793e-02 1.4498978359918669e-02 1.4349508722518344e-02 1.4242055070591954e-02 1.4203423076223394e-02 1.4272504755762729e-02 1.4505959654271684e-02 1.4989644853227848e-02 1.5859487989868068e-02 1.7344354834718023e-02 7.5002580712518491e-04 +3.7538307794803274e+01 2.2483131387573363e-01 2.2406428598590078e-01 2.2401570568433482e-01 2.2394216263988795e-01 2.2384580735729373e-01 2.2373739293762959e-01 2.2362477103581552e-01 2.2349763248159085e-01 2.2334051950846021e-01 2.2314364439926476e-01 2.2290086178343479e-01 2.2260479859790427e-01 2.2224628503734994e-01 2.2181473192448636e-01 2.2129828711258576e-01 2.2068325308222403e-01 2.1995327328766287e-01 2.1908918932154642e-01 2.1806897090202884e-01 2.1686747173716484e-01 2.1545621432398171e-01 2.1380279940167490e-01 2.1186536428032463e-01 2.0957136904942555e-01 2.0683542256255391e-01 2.0362752109757370e-01 1.9993260325824383e-01 1.9571435467652198e-01 1.9093028555396088e-01 1.8554222651716967e-01 1.7952109924594040e-01 1.7285111750224619e-01 1.6553420753339063e-01 1.5759437376586635e-01 1.4908150207639828e-01 1.4007390161128261e-01 1.3067891357183484e-01 1.2103089326216181e-01 1.1128618701988680e-01 1.0161506274617682e-01 9.1503810347387526e-02 8.1881841411664616e-02 7.2925080177270854e-02 6.4767648579875325e-02 5.7493262665407156e-02 5.1133022289013751e-02 4.5669493163218979e-02 4.1045762609819340e-02 3.7177415697804431e-02 3.3964938445762573e-02 3.1304996640807325e-02 2.9099598460098661e-02 2.7261948755883295e-02 2.5717788388732198e-02 2.4406892572952362e-02 2.3282510176755335e-02 2.2308687751527417e-02 2.1458561552140841e-02 2.0711851811473371e-02 2.0053797534189059e-02 1.9472593037914383e-02 1.8959630095214512e-02 1.8507313246950128e-02 1.8110271311139573e-02 1.7763162438614366e-02 1.7461479096396556e-02 1.7201631069520475e-02 1.6979806531074376e-02 1.6792141940436128e-02 1.6635720673035332e-02 1.6506923497970866e-02 1.6402828291243864e-02 1.6320136844291469e-02 1.6255822535198226e-02 1.6205839127032939e-02 1.6166308749580968e-02 1.6134129517278991e-02 1.6106462195124911e-02 1.6080687508024043e-02 1.6062557734674750e-02 1.6044285960166618e-02 1.6025656996764299e-02 1.6006150374502797e-02 1.5986028785512314e-02 1.5964734173737595e-02 1.5942875680610459e-02 1.5918658964451351e-02 1.5892741329102077e-02 1.5864645750995013e-02 1.5833999724583967e-02 1.5800350603722556e-02 1.5763188473196580e-02 1.5721802171947262e-02 1.5676175207950394e-02 1.5624726302518419e-02 1.5567042451019215e-02 1.5502286655726588e-02 1.5429558197804675e-02 1.5347928218594190e-02 1.5256465067891323e-02 1.5154159052328021e-02 1.5041053304076769e-02 1.4915303978879919e-02 1.4777285766874267e-02 1.4627318121569807e-02 1.4466577473043526e-02 1.4297065316261782e-02 1.4122591125612998e-02 1.3948842527083855e-02 1.3785016017376811e-02 1.3642906600035254e-02 1.3540744207735194e-02 1.3504014550699415e-02 1.3569694494465273e-02 1.3791653545073572e-02 1.4251520993104640e-02 1.5078531108216180e-02 1.6490279724761824e-02 7.1195008841146504e-04 +3.7594936708860565e+01 2.1411584847134918e-01 2.1336862216260186e-01 2.1332233667997844e-01 2.1325225830255762e-01 2.1316041630056790e-01 2.1305703638854728e-01 2.1294959477666889e-01 2.1282828101249376e-01 2.1267837268523743e-01 2.1249053734319528e-01 2.1225890983749784e-01 2.1197645667873383e-01 2.1163443132940629e-01 2.1122273335034114e-01 2.1073005750187776e-01 2.1014333892166553e-01 2.0944697689951106e-01 2.0862269888895843e-01 2.0764949410644118e-01 2.0650338141774799e-01 2.0515720465812651e-01 2.0358007043500057e-01 2.0173206429992441e-01 1.9954401955395992e-01 1.9693452019825788e-01 1.9387499232275560e-01 1.9035113064507161e-01 1.8632837452277598e-01 1.8176629282136098e-01 1.7662859817580157e-01 1.7088769856965400e-01 1.6452870339931211e-01 1.5755363555876170e-01 1.4998558707558543e-01 1.4187233326167314e-01 1.3328873855288717e-01 1.2433731437249904e-01 1.1514626977426591e-01 1.0586469767302280e-01 9.6654862152109861e-02 8.7027756168244236e-02 7.7868394188866638e-02 6.9344035027036371e-02 6.1582023475953547e-02 5.4661647821012328e-02 4.8612090730188608e-02 4.3416365815222048e-02 3.9019975389885705e-02 3.5342330239341954e-02 3.2288558705842470e-02 2.9760231939530549e-02 2.7664066677203183e-02 2.5917477144203997e-02 2.4449833347748716e-02 2.3203871798011977e-02 2.2135151887243208e-02 2.1209504371643310e-02 2.0401403089199705e-02 1.9691580348786167e-02 1.9066013209497690e-02 1.8513486249841091e-02 1.8025821922842515e-02 1.7595803967957808e-02 1.7218329469195846e-02 1.6888322490878186e-02 1.6601499575900444e-02 1.6354448812843942e-02 1.6143547272253398e-02 1.5965122512193633e-02 1.5816402110138236e-02 1.5693945531777016e-02 1.5594974746599655e-02 1.5516354109656126e-02 1.5455206048085614e-02 1.5407683524864076e-02 1.5370099592631853e-02 1.5339504978083300e-02 1.5313200172126904e-02 1.5288694867715934e-02 1.5271457996293007e-02 1.5254086124316540e-02 1.5236374658208483e-02 1.5217828759829587e-02 1.5198698182638557e-02 1.5178452366423354e-02 1.5157670395523942e-02 1.5134646379928242e-02 1.5110005216907375e-02 1.5083293376792315e-02 1.5054156700316873e-02 1.5022164834639780e-02 1.4986832978384081e-02 1.4947485007106971e-02 1.4904105185768485e-02 1.4855190192636107e-02 1.4800347330970156e-02 1.4738780826192899e-02 1.4669634321001008e-02 1.4592024704185481e-02 1.4505066210578498e-02 1.4407798886323112e-02 1.4300263686436677e-02 1.4180707652698988e-02 1.4049486989820024e-02 1.3906905418195460e-02 1.3754081427661611e-02 1.3592917937438373e-02 1.3427036801034534e-02 1.3261845532011280e-02 1.3106087639914429e-02 1.2970977278434574e-02 1.2873846504884301e-02 1.2838925837347000e-02 1.2901370967627668e-02 1.3112398269055334e-02 1.3549616697762815e-02 1.4335895597001741e-02 1.5678113881750385e-02 6.7580270307149564e-04 +3.7651565622917857e+01 2.0390904407364427e-01 2.0318109033466486e-01 2.0313699546285638e-01 2.0307021840498898e-01 2.0298267866795103e-01 2.0288410094033540e-01 2.0278160298129871e-01 2.0266584902354362e-01 2.0252281725741667e-01 2.0234360940427137e-01 2.0212262788481755e-01 2.0185316325630648e-01 2.0152687282517487e-01 2.0113412248292342e-01 2.0066412882066456e-01 2.0010443060410574e-01 1.9944014825443029e-01 1.9865385438969610e-01 1.9772551084909051e-01 1.9663224801513346e-01 1.9534817014656461e-01 1.9384382017494159e-01 1.9208114180070859e-01 1.8999418567227480e-01 1.8750532707007816e-01 1.8458735422416109e-01 1.8122668041870926e-01 1.7739041464450891e-01 1.7304008540023993e-01 1.6814119529289673e-01 1.6266756354401996e-01 1.5660514605590584e-01 1.4995604890855493e-01 1.4274248395057518e-01 1.3501020312516326e-01 1.2683077544166535e-01 1.1830209735136125e-01 1.0954651005118440e-01 1.0070618657208244e-01 9.1935760362139796e-02 8.2769745039277309e-02 7.4050866083941944e-02 6.5938140628117398e-02 5.8552476033546082e-02 5.1968964204454543e-02 4.6214983256227915e-02 4.1273992964274780e-02 3.7093811590011981e-02 3.3597504794486859e-02 3.0694628800486203e-02 2.8291429041251624e-02 2.6299106023646712e-02 2.4639080356118753e-02 2.3244174727573265e-02 2.2059942007438296e-02 2.1044138411303370e-02 2.0164290713322420e-02 1.9396143987376744e-02 1.8721392292649363e-02 1.8126713968523670e-02 1.7601454442045122e-02 1.7137845370368728e-02 1.6729030821782374e-02 1.6370162790901446e-02 1.6056418061198386e-02 1.5783726148497518e-02 1.5548844618619643e-02 1.5348330109546601e-02 1.5178691857602131e-02 1.5037294536903119e-02 1.4920867516819050e-02 1.4826769779681505e-02 1.4752020259698058e-02 1.4693883118923667e-02 1.4648700748259856e-02 1.4612967756537715e-02 1.4583880001159701e-02 1.4558870847181023e-02 1.4535572627818275e-02 1.4519184835950053e-02 1.4502668700161979e-02 1.4485829701317140e-02 1.4468197375224309e-02 1.4450009171674473e-02 1.4430760676356999e-02 1.4411002394569855e-02 1.4389112542737977e-02 1.4365685203816547e-02 1.4340289188967190e-02 1.4312587784799453e-02 1.4282171837617215e-02 1.4248580427363704e-02 1.4211170745993889e-02 1.4169927781257264e-02 1.4123422338224539e-02 1.4071281033108656e-02 1.4012747291272203e-02 1.3947006939687321e-02 1.3873220369379572e-02 1.3790545448189884e-02 1.3698069520004540e-02 1.3595831472341120e-02 1.3482164768466339e-02 1.3357408036574715e-02 1.3221850036098909e-02 1.3076554160277972e-02 1.2923329590635134e-02 1.2765619768004015e-02 1.2608565840797269e-02 1.2460480566184762e-02 1.2332025752121547e-02 1.2239679649188226e-02 1.2206479186731263e-02 1.2265848265693725e-02 1.2466480340278991e-02 1.2882161346939444e-02 1.3629708087661761e-02 1.4905808540052494e-02 6.4148623930157717e-04 +3.7708194536975149e+01 1.9418686920813419e-01 1.9347767769441002e-01 1.9343566654237743e-01 1.9337203767610392e-01 1.9328859981336005e-01 1.9319460225957458e-01 1.9309682208858137e-01 1.9298637491425427e-01 1.9284990645042213e-01 1.9267893247196594e-01 1.9246811088435278e-01 1.9221104146417103e-01 1.9189976682679410e-01 1.9152509780491020e-01 1.9107674888754450e-01 1.9054283476069353e-01 1.8990916385641959e-01 1.8915911511603278e-01 1.8827357826739949e-01 1.8723074401968615e-01 1.8600591893029672e-01 1.8457101589901656e-01 1.8288975082088071e-01 1.8089924297951163e-01 1.7852548351187147e-01 1.7574255829582336e-01 1.7253756347853469e-01 1.6887919759494804e-01 1.6473085447227104e-01 1.6005973911762553e-01 1.5484101067108455e-01 1.4906142503584696e-01 1.4272315906793007e-01 1.3584757566133179e-01 1.2847848709156626e-01 1.2068430986942551e-01 1.1255853085166974e-01 1.0421788930275447e-01 9.5797956720651223e-02 8.7446091857022568e-02 7.8719202910364910e-02 7.0419735057274738e-02 6.2698866932027350e-02 5.5671391288889316e-02 4.9408423078284351e-02 4.3935642106721330e-02 3.9236951671517535e-02 3.5262390807177080e-02 3.1938516704460976e-02 2.9179108818154813e-02 2.6894866576934056e-02 2.5001260122980474e-02 2.3423523185929201e-02 2.2097763204351889e-02 2.0972211528462858e-02 2.0006713065583413e-02 1.9170406760873320e-02 1.8440245854212341e-02 1.7798838322240700e-02 1.7233528835845148e-02 1.6734195718476941e-02 1.6293459422290095e-02 1.5904806410369454e-02 1.5563630895041879e-02 1.5265349837157310e-02 1.5006095170671507e-02 1.4782785547727325e-02 1.4592148302921458e-02 1.4430865393162124e-02 1.4296431832630569e-02 1.4185738532533300e-02 1.4096274754109539e-02 1.4025206416816987e-02 1.3969932461170818e-02 1.3926975411518258e-02 1.3893002524021454e-02 1.3865347670607550e-02 1.3841570573390348e-02 1.3819420187404764e-02 1.3803839795383572e-02 1.3788137388987853e-02 1.3772128029156097e-02 1.3755364429250183e-02 1.3738072339462684e-02 1.3719772207269302e-02 1.3700987364693461e-02 1.3680176002027327e-02 1.3657902902198590e-02 1.3633758120552189e-02 1.3607421533138981e-02 1.3578504144799079e-02 1.3546567744465190e-02 1.3511001204536311e-02 1.3471790202763409e-02 1.3427576028410357e-02 1.3378003664255166e-02 1.3322353811303329e-02 1.3259852410040789e-02 1.3189701218254189e-02 1.3111099594894371e-02 1.3023179859280131e-02 1.2925978935489465e-02 1.2817912462312656e-02 1.2699302355803299e-02 1.2570423148789764e-02 1.2432285842543057e-02 1.2286610482334761e-02 1.2136670854397822e-02 1.1987354816953894e-02 1.1846565522382491e-02 1.1724439543438757e-02 1.1636643237729690e-02 1.1605078537161292e-02 1.1661522564170045e-02 1.1852269700520527e-02 1.2247470529899667e-02 1.2958186423866975e-02 1.4171414686123157e-02 6.0890819282726286e-04 +3.7764823451032441e+01 1.8492641601338403e-01 1.8423549222655686e-01 1.8419546777646387e-01 1.8413483973098888e-01 1.8405531295257851e-01 1.8396568350384768e-01 1.8387240547261974e-01 1.8376702347545229e-01 1.8363681921089287e-01 1.8347370331966492e-01 1.8327257764240124e-01 1.8302733701559959e-01 1.8273039167827118e-01 1.8237297698670940e-01 1.8194528248656394e-01 1.8143597233835956e-01 1.8083151137497086e-01 1.8011604779324142e-01 1.7927135651780388e-01 1.7827663973629201e-01 1.7710835084036991e-01 1.7573970938820638e-01 1.7413612146289367e-01 1.7223763309770324e-01 1.6997368392427170e-01 1.6731959600741708e-01 1.6426311440834496e-01 1.6077445092938070e-01 1.5681877492714888e-01 1.5236491048341202e-01 1.4738928890092379e-01 1.4187942206572943e-01 1.3583754618126481e-01 1.2928420543627658e-01 1.2226135278097428e-01 1.1483438906323595e-01 1.0709258790325356e-01 9.9147340637620637e-02 9.1127921080118426e-02 8.3174752768729376e-02 7.4866066044228380e-02 6.6965939669710803e-02 5.9618097393977526e-02 5.2931524132969927e-02 4.6973565968767839e-02 4.1768304605079014e-02 3.7300083405012660e-02 3.3521070731532453e-02 3.0361159131452306e-02 2.7738155996079376e-02 2.5567004754942807e-02 2.3767241204777113e-02 2.2267728199292625e-02 2.1007698117809712e-02 1.9937929629016988e-02 1.9020253498155146e-02 1.8225341121604521e-02 1.7531293951811185e-02 1.6921588419595509e-02 1.6384202313781144e-02 1.5909520290198032e-02 1.5490532201147923e-02 1.5121049859966158e-02 1.4796697633664495e-02 1.4513120738926922e-02 1.4266643494344667e-02 1.4054337661471194e-02 1.3873092837337663e-02 1.3719755181864121e-02 1.3591943624477677e-02 1.3486702666461693e-02 1.3401645443667926e-02 1.3334077638655158e-02 1.3281526354039770e-02 1.3240685407461032e-02 1.3208386229066435e-02 1.3182093936659686e-02 1.3159488410817219e-02 1.3138429504128791e-02 1.3123616870633561e-02 1.3108688241211364e-02 1.3093467786688214e-02 1.3077530260129403e-02 1.3061090286559284e-02 1.3043691954090492e-02 1.3025832758265597e-02 1.3006046932986267e-02 1.2984871401321329e-02 1.2961916419722164e-02 1.2936877639204954e-02 1.2909385233384954e-02 1.2879022585231957e-02 1.2845208691584897e-02 1.2807929888960606e-02 1.2765894486529827e-02 1.2718764933406956e-02 1.2665857376092314e-02 1.2606435899095676e-02 1.2539741595899732e-02 1.2465013279422029e-02 1.2381426035703975e-02 1.2289014924301359e-02 1.2186273721315586e-02 1.2073508452646629e-02 1.1950980123079928e-02 1.1819649914219767e-02 1.1681153111468832e-02 1.1538602176205798e-02 1.1396644112106072e-02 1.1262792579850097e-02 1.1146684701911293e-02 1.1063214806736180e-02 1.1033205554648574e-02 1.1086868144317440e-02 1.1268215674873468e-02 1.1643941866173993e-02 1.2319635239748253e-02 1.3473078222783564e-02 5.7798072038207145e-04 +3.7821452365089733e+01 1.7610586167059605e-01 1.7543272221479567e-01 1.7539459243580688e-01 1.7533682357507610e-01 1.7526102585687070e-01 1.7517556260961076e-01 1.7508658077666203e-01 1.7498603325559958e-01 1.7486180760624936e-01 1.7470619104021920e-01 1.7451431829275235e-01 1.7428036574113362e-01 1.7399709437198269e-01 1.7365614457566286e-01 1.7324815915579039e-01 1.7276232650640988e-01 1.7218573769389081e-01 1.7150327479414754e-01 1.7069755718823307e-01 1.6974875192861508e-01 1.6863440631788723e-01 1.6732898616804492e-01 1.6579950951197542e-01 1.6398881376411023e-01 1.6182962738076512e-01 1.5929845004252602e-01 1.5638364344596686e-01 1.5305686001725180e-01 1.4928495913263820e-01 1.4503830466811130e-01 1.4029453571907985e-01 1.3504187849374205e-01 1.2928261803102206e-01 1.2303650911235954e-01 1.1634372247422259e-01 1.0926677430041341e-01 1.0189091270189839e-01 9.4322423701000815e-02 8.6684573426461228e-02 7.9111173983511002e-02 7.1200756517164399e-02 6.3680856916763159e-02 5.6688109028287664e-02 5.0325981435662630e-02 4.4658248675675881e-02 3.9707488851219108e-02 3.5458481206692677e-02 3.1865435582735961e-02 2.8861430573127414e-02 2.6368115141245606e-02 2.4304476539672149e-02 2.2593921915208065e-02 2.1168768072349312e-02 1.9971220254685444e-02 1.8954479677881421e-02 1.8082265170793213e-02 1.7326704786410463e-02 1.6666991199126045e-02 1.6087426083665080e-02 1.5576588782483693e-02 1.5125345039216361e-02 1.4727035675541138e-02 1.4375781656021706e-02 1.4067426038061775e-02 1.3797830962331835e-02 1.3563503594172464e-02 1.3361661221286287e-02 1.3189347684256147e-02 1.3043565246938971e-02 1.2922050644790959e-02 1.2821994407359046e-02 1.2741127454496494e-02 1.2676888363282872e-02 1.2626926105591321e-02 1.2588097384437306e-02 1.2557389744893800e-02 1.2532393112705102e-02 1.2510901631202720e-02 1.2490880606249484e-02 1.2476798029030362e-02 1.2462605178430368e-02 1.2448134888057556e-02 1.2432982868385768e-02 1.2417353165685504e-02 1.2400812347276146e-02 1.2383833343469080e-02 1.2365022693986684e-02 1.2344890831644738e-02 1.2323067222006726e-02 1.2299262516378846e-02 1.2273125115816868e-02 1.2244258936886526e-02 1.2212111621068363e-02 1.2176670133724768e-02 1.2136706509318616e-02 1.2091899807059912e-02 1.2041599878299123e-02 1.1985107078384061e-02 1.1921699904842618e-02 1.1850654687040437e-02 1.1771187177102004e-02 1.1683330663957943e-02 1.1585653220578727e-02 1.1478445764458382e-02 1.1361956436623582e-02 1.1237099045531766e-02 1.1105428279074639e-02 1.0969903196021036e-02 1.0834941772823936e-02 1.0707687307676813e-02 1.0597301996469374e-02 1.0517946052328579e-02 1.0489415863966969e-02 1.0540433605845164e-02 1.0712843122530857e-02 1.1070051028017138e-02 1.1712441751469294e-02 1.2809035366797200e-02 5.4862040553132216e-04 +3.7878081279147025e+01 1.6770440605718531e-01 1.6704858408635809e-01 1.6701225764257138e-01 1.6695721441767011e-01 1.6688497149986375e-01 1.6680348198890479e-01 1.6671859969480829e-01 1.6662266636924233e-01 1.6650414666406188e-01 1.6635568692125624e-01 1.6617264421670985e-01 1.6594946356258924e-01 1.6567924058751773e-01 1.6535400211495585e-01 1.6496482340051014e-01 1.6450139298268684e-01 1.6395139937106956e-01 1.6330042475963005e-01 1.6253189410733684e-01 1.6162689485093332e-01 1.6056401770686998e-01 1.5931891710882748e-01 1.5786014839938320e-01 1.5613321122229754e-01 1.5407397053201966e-01 1.5166004780858383e-01 1.4888039069370054e-01 1.4570802305430930e-01 1.4211141286467457e-01 1.3806238836339671e-01 1.3353973528811960e-01 1.2853235474147046e-01 1.2304257094317532e-01 1.1708937763501799e-01 1.1071123734635457e-01 1.0396790700167981e-01 9.6940788674022435e-02 8.9731294798362879e-02 8.2456960592076328e-02 7.5245295525660463e-02 6.7714158889484899e-02 6.0556281123239394e-02 5.3901553420580395e-02 4.7848205029269980e-02 4.2456626052092161e-02 3.7747980104921877e-02 3.3707477479281669e-02 3.0291285105569752e-02 2.7435524884391854e-02 2.5065509514797715e-02 2.3104079256878390e-02 2.1478327523773325e-02 2.0123858301123704e-02 1.8985704980804322e-02 1.8019372635154671e-02 1.7190375156168933e-02 1.6472225191384887e-02 1.5845152463934278e-02 1.5294242823621056e-02 1.4808647170214585e-02 1.4379688344599972e-02 1.4001040623419400e-02 1.3667118727230183e-02 1.3373973508608148e-02 1.3117673261007665e-02 1.2894898929909382e-02 1.2703006120134601e-02 1.2539185291861210e-02 1.2400587111874830e-02 1.2285060312493625e-02 1.2189934260733672e-02 1.2113051868200725e-02 1.2051978074143417e-02 1.2004477734757452e-02 1.1967562441598816e-02 1.1938368189767854e-02 1.1914603589591472e-02 1.1894171439659150e-02 1.1875137321045070e-02 1.1861748942426486e-02 1.1848255731623450e-02 1.1834498759667935e-02 1.1820093665208312e-02 1.1805234435350130e-02 1.1789509012073800e-02 1.1773366969395651e-02 1.1755483598098682e-02 1.1736344143308937e-02 1.1715596336194524e-02 1.1692965091581199e-02 1.1668116142701487e-02 1.1640672931193497e-02 1.1610110335729085e-02 1.1576415922014057e-02 1.1538422316519545e-02 1.1495824374104076e-02 1.1448003995509552e-02 1.1394296025407423e-02 1.1334014528167924e-02 1.1266471506960444e-02 1.1190921382076311e-02 1.1107395761068024e-02 1.1014533361368303e-02 1.0912610735480943e-02 1.0801863792481029e-02 1.0683161294486706e-02 1.0557981290591573e-02 1.0429136971604013e-02 1.0300828535460825e-02 1.0179847110975665e-02 1.0074903291559616e-02 9.9994592337388100e-03 9.9723354615674168e-03 1.0020838262426947e-02 1.0184748773306773e-02 1.0524347954715055e-02 1.1135071751991472e-02 1.2177608268565831e-02 5.2074803622494125e-04 +3.7934710193204317e+01 1.5970222889438260e-01 1.5906326716056021e-01 1.5902865937817945e-01 1.5897621373215201e-01 1.5890735986669294e-01 1.5882966057443951e-01 1.5874869008770054e-01 1.5865716063728968e-01 1.5854408654125132e-01 1.5840245664807784e-01 1.5822784028893844e-01 1.5801493878947692e-01 1.5775716705181725e-01 1.5744692057772575e-01 1.5707568721907594e-01 1.5663363266809363e-01 1.5610901540151007e-01 1.5548808551295409e-01 1.5475503643868507e-01 1.5389183355626679e-01 1.5287806281258803e-01 1.5169051227883587e-01 1.5029920339895003e-01 1.4865217483030499e-01 1.4668828270527104e-01 1.4438621711338842e-01 1.4173548246251846e-01 1.3871040817528899e-01 1.3528099329512194e-01 1.3142045865613075e-01 1.2710867854806226e-01 1.2233519165659847e-01 1.1710235252675262e-01 1.1142842132145032e-01 1.0535022338393968e-01 9.8924876424992217e-02 9.2230108051880061e-02 8.5362678434973235e-02 7.8434656025604468e-02 7.1567542161202424e-02 6.4397597989779051e-02 5.7584403848242094e-02 5.1251438650757590e-02 4.5491955510352435e-02 4.0363137517633686e-02 3.5884817825799248e-02 3.2042632363204912e-02 2.8794624097160472e-02 2.6079821781585563e-02 2.3827032157229006e-02 2.1962766604788776e-02 2.0417628506734450e-02 1.9130350263362898e-02 1.8048655705198955e-02 1.7130240857383270e-02 1.6342326234505048e-02 1.5659740566445715e-02 1.5063699130263975e-02 1.4540032918166400e-02 1.4078435880983590e-02 1.3670665158407728e-02 1.3310711838602050e-02 1.2993269766938469e-02 1.2714587236887558e-02 1.2470928456459671e-02 1.2259139532693657e-02 1.2076707534437762e-02 1.1920962292989950e-02 1.1789195555622056e-02 1.1679362527850604e-02 1.1588924576110703e-02 1.1515831095273666e-02 1.1457767174408651e-02 1.1412607861856314e-02 1.1377512032045326e-02 1.1349756840075781e-02 1.1327163756845266e-02 1.1307738902826131e-02 1.1289643209593549e-02 1.1276914926613105e-02 1.1264086985049233e-02 1.1251008288871517e-02 1.1237313425969035e-02 1.1223186818493991e-02 1.1208236732564984e-02 1.1192890535595726e-02 1.1175888888802247e-02 1.1157693088330686e-02 1.1137968233635305e-02 1.1116452802371106e-02 1.1092829008471640e-02 1.1066738859446489e-02 1.1037683132659029e-02 1.1005649966884540e-02 1.0969529600850696e-02 1.0929031910415318e-02 1.0883569271226953e-02 1.0832509322949014e-02 1.0775199949549927e-02 1.0710987075439526e-02 1.0639161889021920e-02 1.0559754401211610e-02 1.0471470500402784e-02 1.0374573081060877e-02 1.0269286421228759e-02 1.0156436449621596e-02 1.0037428341498051e-02 9.9149365856434132e-03 9.7929542997501288e-03 9.6779377459854342e-03 9.5781680980959287e-03 9.5064437501289276e-03 9.4806573017195278e-03 9.5267687112214772e-03 9.6825977410408132e-03 1.0005453249795524e-02 1.0586065799054648e-02 1.1577200843270281e-02 4.9428839349373473e-04 +3.7991339107261609e+01 1.5208043964500312e-01 1.5145789521261552e-01 1.5142492641233637e-01 1.5137495618857078e-01 1.5130933233218635e-01 1.5123524817249487e-01 1.5115801032605836e-01 1.5107068394936768e-01 1.5096280691424091e-01 1.5082769472744995e-01 1.5066111934067314e-01 1.5045802663279084e-01 1.5021213611208709e-01 1.4991619501341677e-01 1.4956208483520861e-01 1.4914042648149192e-01 1.4864002217557779e-01 1.4804775916478896e-01 1.4734856395889248e-01 1.4652523937602466e-01 1.4555832062058072e-01 1.4442567694317371e-01 1.4309872795723941e-01 1.4152793378149625e-01 1.3965500309374457e-01 1.3745964390690546e-01 1.3493188965317382e-01 1.3204731256753560e-01 1.2877736894289932e-01 1.2509660392885497e-01 1.2098592518589388e-01 1.1643547367717280e-01 1.1144762616356467e-01 1.0603993580456464e-01 1.0024765890890369e-01 9.4125388884144526e-02 8.7747342887564986e-02 8.1205840205216109e-02 7.4607734608890919e-02 6.8068800163815321e-02 6.1242817760524114e-02 5.4757794752882172e-02 4.8731112084118691e-02 4.3251296820705463e-02 3.8372493269875824e-02 3.4113283339184564e-02 3.0459722674887797e-02 2.7371652440971055e-02 2.4790877806054660e-02 2.2649537633350612e-02 2.0877641051905895e-02 1.9409133489362823e-02 1.8185724615789690e-02 1.7157697660033094e-02 1.6284832201926999e-02 1.5535971275634160e-02 1.4887194556839674e-02 1.4320653928486363e-02 1.3822888427831940e-02 1.3384107967076337e-02 1.2996482319368074e-02 1.2654303568774233e-02 1.2352530780486686e-02 1.2087599848745131e-02 1.1855961164742641e-02 1.1654617804407469e-02 1.1481181785907188e-02 1.1333115420270601e-02 1.1207844572881093e-02 1.1103425670172553e-02 1.1017445575584076e-02 1.0947954928752411e-02 1.0892753060428325e-02 1.0849819797488575e-02 1.0816454063687817e-02 1.0790067240763932e-02 1.0768588120842587e-02 1.0750121073730102e-02 1.0732917697738258e-02 1.0720817076608786e-02 1.0708621716040397e-02 1.0696187968189962e-02 1.0683168439197912e-02 1.0669738456259452e-02 1.0655525610593783e-02 1.0640936156281337e-02 1.0624772909951783e-02 1.0607474396833511e-02 1.0588722231265986e-02 1.0568267787287866e-02 1.0545808949776386e-02 1.0521005379842711e-02 1.0493382480615453e-02 1.0462928937830532e-02 1.0428589768754539e-02 1.0390089133437060e-02 1.0346868385028589e-02 1.0298326346774378e-02 1.0243843060486835e-02 1.0182796705074510e-02 1.0114513430041567e-02 1.0039021730080975e-02 9.9550913612562551e-03 9.8629722322883667e-03 9.7628775616700192e-03 9.6555925493487949e-03 9.5424530774232807e-03 9.4260017478801049e-03 9.3100347727818698e-03 9.2006900033964802e-03 9.1058402910032046e-03 9.0376528826951585e-03 9.0131380474304142e-03 9.0569755679880560e-03 9.2051202053511343e-03 9.5120547520984432e-03 1.0064035587372159e-02 1.1006294803376669e-02 4.6917005073274747e-04 +3.8047968021318901e+01 1.4482104122232092e-01 1.4421448031482492e-01 1.4418307362152541e-01 1.4413546263327140e-01 1.4407291806784950e-01 1.4400228194585718e-01 1.4392860575730307e-01 1.4384529075019428e-01 1.4374237348944180e-01 1.4361348102904556e-01 1.4345457874059858e-01 1.4326084583192952e-01 1.4302629242068146e-01 1.4274400130147183e-01 1.4240622953426327e-01 1.4200403229505026e-01 1.4152673053176262e-01 1.4096181930434465e-01 1.4029492441241950e-01 1.3950964747027195e-01 1.3858742907599630e-01 1.3750716961224280e-01 1.3624162205630710e-01 1.3474355584276820e-01 1.3295739994323699e-01 1.3086383199468141e-01 1.2845338807985607e-01 1.2570282349554554e-01 1.2258498149657532e-01 1.1907566658874699e-01 1.1515676738633016e-01 1.1081899372422328e-01 1.0606473716557591e-01 1.0091086957903485e-01 9.5391143632631875e-02 8.9557738421018426e-02 8.3481517439311995e-02 7.7250560967602772e-02 7.0966748670971178e-02 6.4740395187934091e-02 5.8241961113923491e-02 5.2069383383628327e-02 4.6334243988306226e-02 4.1120581570423184e-02 3.6479661160304364e-02 3.2428888097168714e-02 2.8954731380119027e-02 2.6018755622594845e-02 2.3565417725074776e-02 2.1530034176706136e-02 1.9845946602566056e-02 1.8450282529564734e-02 1.7287585010842675e-02 1.6310571981388279e-02 1.5481004416420694e-02 1.4769267892466496e-02 1.4152631104608529e-02 1.3614136014915094e-02 1.3140994448262746e-02 1.2723906534899484e-02 1.2355434093046205e-02 1.2030155173792703e-02 1.1743280847506839e-02 1.1491425257939501e-02 1.1271215729687610e-02 1.1079804519989299e-02 1.0914922403294655e-02 1.0774157618632417e-02 1.0655063529409231e-02 1.0555792788954280e-02 1.0474051574417520e-02 1.0407986788464989e-02 1.0355506384880437e-02 1.0314689820452534e-02 1.0282969188588240e-02 1.0257883503641695e-02 1.0237463610452418e-02 1.0219907303745260e-02 1.0203552394026849e-02 1.0192048588766735e-02 1.0180454721201491e-02 1.0168634225804258e-02 1.0156256841518010e-02 1.0143489247584330e-02 1.0129977410192710e-02 1.0116107509728011e-02 1.0100741460823608e-02 1.0084296138025488e-02 1.0066468858961734e-02 1.0047023260266382e-02 1.0025672127605207e-02 1.0002091908134694e-02 9.9758314200826710e-03 9.9468798712889460e-03 9.9142343626787768e-03 9.8776326376976975e-03 9.8365436028823063e-03 9.7903957325713459e-03 9.7385996460128740e-03 9.6805641914561279e-03 9.6156487609626862e-03 9.5438804094295001e-03 9.4640896191172073e-03 9.3765139523314823e-03 9.2813561115091779e-03 9.1793625694438080e-03 9.0718033204847011e-03 8.9610955613456649e-03 8.8508482750262428e-03 8.7468965519036743e-03 8.6567249853362234e-03 8.5919006941430603e-03 8.5685949783515861e-03 8.6102703599459790e-03 8.7511082536360051e-03 9.0429042724943579e-03 9.5676604959707007e-03 1.0463445882709884e-02 4.4532518304300572e-04 +3.8104596935376193e+01 1.3790688013711838e-01 1.3731588391176192e-01 1.3728596430898354e-01 1.3724060124072790e-01 1.3718099267531392e-01 1.3711364488398436e-01 1.3704336719890023e-01 1.3696388054883182e-01 1.3686569653430466e-01 1.3674273934691170e-01 1.3659115899307947e-01 1.3640635729941633e-01 1.3618262163344116e-01 1.3591335491531256e-01 1.3559117250716249e-01 1.3520754387289588e-01 1.3475228480697973e-01 1.3421347018300822e-01 1.3357739285319656e-01 1.3282841635455145e-01 1.3194884482800057e-01 1.3091856204236643e-01 1.2971159251668746e-01 1.2828290801439196e-01 1.2657953163965038e-01 1.2458306463003210e-01 1.2228452064499901e-01 1.1966178114439553e-01 1.1668900942298192e-01 1.1334320754189954e-01 1.0960719528081279e-01 1.0547221974099498e-01 1.0094068052269460e-01 9.6028793075047872e-02 9.0768869169160146e-02 8.5210778863781020e-02 7.9422181864722746e-02 7.3487112245110370e-02 6.7502705142719790e-02 6.1574071196891289e-02 5.5387550751144175e-02 4.9512441829040556e-02 4.4054811937331018e-02 3.9094437067182172e-02 3.4679854203331459e-02 3.0827362506759767e-02 2.7523837575852975e-02 2.4732495704523585e-02 2.2400326348869692e-02 2.0465676214344097e-02 1.8865061912808227e-02 1.7538640726578108e-02 1.6433652117288779e-02 1.5505130076315835e-02 1.4716719799481231e-02 1.4040273352934876e-02 1.3454189577398192e-02 1.2942356289360165e-02 1.2492624592893291e-02 1.2096160372682321e-02 1.1745897927244481e-02 1.1436686993689526e-02 1.1163978089094419e-02 1.0924554719950666e-02 1.0715212352510954e-02 1.0533245022780862e-02 1.0376496374407457e-02 1.0242674345503258e-02 1.0129453503125441e-02 1.0035077978916533e-02 9.9573673840754884e-03 9.8945601467464676e-03 9.8446675004466629e-03 9.8058636353088157e-03 9.7757072714409060e-03 9.7518587844871649e-03 9.7324460612065022e-03 9.7157557327839338e-03 9.7002075854515021e-03 9.6892712604650863e-03 9.6782493201582644e-03 9.6670119333527593e-03 9.6552451296924111e-03 9.6431073656093221e-03 9.6302620786520195e-03 9.6170763641508523e-03 9.6024683271328914e-03 9.5868342568708083e-03 9.5698864023740435e-03 9.5514000601367253e-03 9.5311021841545905e-03 9.5086851825383397e-03 9.4837201372895454e-03 9.4561967545769583e-03 9.4251616562237277e-03 9.3903655025045739e-03 9.3513033990033079e-03 9.3074320136693964e-03 9.2581910401566478e-03 9.2030184885480461e-03 9.1413053590651324e-03 9.0730773393897859e-03 8.9972226504881313e-03 8.9139671162145780e-03 8.8235034398395258e-03 8.7265412705878342e-03 8.6242879537124853e-03 8.5190414448346029e-03 8.4142327006310417e-03 8.3154089342486331e-03 8.2296855632385535e-03 8.1680590779804312e-03 8.1459030480558418e-03 8.1855225687430654e-03 8.3194128756700729e-03 8.5968144882870180e-03 9.0956843023275794e-03 9.9472802429698970e-03 4.2268938612925299e-04 +3.8161225849433485e+01 1.3132160867401529e-01 1.3074576960051520e-01 1.3071726757555741e-01 1.3067404787471620e-01 1.3061723802871045e-01 1.3055302624022078e-01 1.3048599136301847e-01 1.3041015835926181e-01 1.3031649133853596e-01 1.3019919788839548e-01 1.3005460426288928e-01 1.2987832468726385e-01 1.2966491102941541e-01 1.2940807160581658e-01 1.2910076360835596e-01 1.2873485171904608e-01 1.2830062379231516e-01 1.2778670779740720e-01 1.2718003287752619e-01 1.2646568931017557e-01 1.2562680484957911e-01 1.2464420110046001e-01 1.2349311514885604e-01 1.2213061902387795e-01 1.2050620961264508e-01 1.1860236789838619e-01 1.1641056128107935e-01 1.1390974320132329e-01 1.1107533327638892e-01 1.0788547233038537e-01 1.0432386401653064e-01 1.0038226280303864e-01 9.6063070166207160e-02 9.1381869188209494e-02 8.6369590939594454e-02 8.1073897204920142e-02 7.5559387159886707e-02 6.9906232793336229e-02 6.4207043798492541e-02 5.8561970395410015e-02 5.2672470897922770e-02 4.7080568207816836e-02 4.1887085964822976e-02 3.7167752018159930e-02 3.2968518687576970e-02 2.9304645297636833e-02 2.6163406956950973e-02 2.3509602737715674e-02 2.1292640743933083e-02 1.9453757253432988e-02 1.7932493739304917e-02 1.6671892139044003e-02 1.5621757930287810e-02 1.4739328262365656e-02 1.3990040119651395e-02 1.3347139737985726e-02 1.2790100132819534e-02 1.2303612938998379e-02 1.1876136693919463e-02 1.1499279789525016e-02 1.1166330412785834e-02 1.0872396416494165e-02 1.0613155829736296e-02 1.0385553076535489e-02 1.0186543408477668e-02 1.0013555603825103e-02 9.8645405791883429e-03 9.7373200499082570e-03 9.6296838019786640e-03 9.5399629302926024e-03 9.4660848891140910e-03 9.4063751268617934e-03 9.3589430753632536e-03 9.3220530012836662e-03 9.2933840287652419e-03 9.2707119304478985e-03 9.2522568692888496e-03 9.2363899490637991e-03 9.2216089026217717e-03 9.2112121590050191e-03 9.2007340282137286e-03 9.1900510824298193e-03 9.1788648412059731e-03 9.1673259424052134e-03 9.1551144356625553e-03 9.1425792713377956e-03 9.1286919798281869e-03 9.1138292782371386e-03 9.0977176128911146e-03 9.0801433669046531e-03 9.0608469660626977e-03 9.0395359947193984e-03 9.0158027037357709e-03 8.9896372748932835e-03 8.9601334138027684e-03 8.9270540636091425e-03 8.8899192409114987e-03 8.8482124211497447e-03 8.8014009430100251e-03 8.7489505447165637e-03 8.6902822803051252e-03 8.6254205391991853e-03 8.5533084400068165e-03 8.4741606462658131e-03 8.3881603536570520e-03 8.2959821981990201e-03 8.1987739560631257e-03 8.0987202041049051e-03 7.9990826247150239e-03 7.9051347083867688e-03 7.8236408446247709e-03 7.7650549503459126e-03 7.7439920835149206e-03 7.7816568163170431e-03 7.9089411034491165e-03 8.1726559876350111e-03 8.6469120553468084e-03 9.4564910539048884e-03 4.0120150427628665e-04 +3.8217854763490777e+01 1.2504965572998034e-01 1.2448857700099797e-01 1.2446142406487450e-01 1.2442024640434343e-01 1.2436610497388753e-01 1.2430488383369855e-01 1.2424094312555392e-01 1.2416859698012725e-01 1.2407924051316123e-01 1.2396735160111924e-01 1.2382942473600056e-01 1.2366127678935719e-01 1.2345771196279201e-01 1.2321272991253848e-01 1.2291961394046681e-01 1.2257060574827615e-01 1.2215644350592687e-01 1.2166628278316075e-01 1.2108765966243910e-01 1.2040635759212555e-01 1.1960628984423498e-01 1.1866917240519818e-01 1.1757139867039561e-01 1.1627204356963006e-01 1.1472296296937061e-01 1.1290747581109239e-01 1.1081748057649150e-01 1.0843295109155182e-01 1.0573050263240841e-01 1.0268935885502264e-01 9.9294062369303396e-02 9.5536846725361779e-02 9.1420109677813985e-02 8.6958825196581102e-02 8.2182601401340705e-02 7.7136988238061241e-02 7.1883661285501194e-02 6.6499106280513115e-02 6.1071616532924568e-02 5.5696614119973856e-02 5.0089949914402222e-02 4.4767670947945287e-02 3.9825614430863486e-02 3.5335663872629354e-02 3.1341322861005050e-02 2.7856873403616117e-02 2.4869982743787853e-02 2.2346966588826768e-02 2.0239542823343545e-02 1.8491703112460421e-02 1.7045870705809488e-02 1.5847833997530297e-02 1.4849840356776537e-02 1.4011222666586975e-02 1.3299121780219747e-02 1.2688109333775772e-02 1.2158679306927414e-02 1.1696287197612249e-02 1.1289968711131625e-02 1.0931752655594047e-02 1.0615263439326327e-02 1.0335854136001875e-02 1.0089418944824124e-02 9.8730551818566898e-03 9.6838699415712597e-03 9.5194200560801290e-03 9.3777583952081179e-03 9.2568148216985290e-03 9.1544886501678021e-03 9.0691936458105922e-03 8.9989597895560516e-03 8.9421952658733390e-03 8.8971028725321252e-03 8.8620325240344067e-03 8.8347778305586742e-03 8.8132242894530758e-03 8.7956798073787375e-03 8.7805958103153309e-03 8.7665441460184311e-03 8.7566604514941471e-03 8.7466993898149565e-03 8.7365436218071277e-03 8.7259093952627535e-03 8.7149399140003005e-03 8.7033310225300749e-03 8.6914144202040310e-03 8.6782124333137766e-03 8.6640831702589297e-03 8.6487665765616704e-03 8.6320595767959262e-03 8.6137154060853954e-03 8.5934560787764066e-03 8.5708939733400123e-03 8.5460197254663851e-03 8.5179718069618594e-03 8.4865248408679591e-03 8.4512225298559694e-03 8.4115738386809896e-03 8.3670723916767793e-03 8.3172102917121772e-03 8.2614371685145616e-03 8.1997761786842035e-03 8.1312226367514975e-03 8.0559805956552395e-03 7.9742242110049707e-03 7.8865948272983603e-03 7.7941835807808909e-03 7.6990672446419252e-03 7.6043465503565629e-03 7.5150347269174701e-03 7.4375623946384894e-03 7.3818675776180353e-03 7.3618441198970942e-03 7.3976501867510595e-03 7.5186532892494162e-03 7.7693544568976395e-03 8.2202070994446767e-03 8.9898352387824589e-03 3.8080346695027698e-04 +3.8274483677548069e+01 1.1907617885113810e-01 1.1852947291885599e-01 1.1850360528683378e-01 1.1846437429999146e-01 1.1841277709540021e-01 1.1835440802030336e-01 1.1829341954762773e-01 1.1822440103014142e-01 1.1813915804552422e-01 1.1803242625329564e-01 1.1790086073139598e-01 1.1774047169297638e-01 1.1754630406205724e-01 1.1731263542156140e-01 1.1703306018049753e-01 1.1670017969425410e-01 1.1630516169964634e-01 1.1583766503857695e-01 1.1528580472522350e-01 1.1463602535051330e-01 1.1387298935835290e-01 1.1297926566308045e-01 1.1193235030405213e-01 1.1069322823095534e-01 1.0921600477826539e-01 1.0748479702922525e-01 1.0549191300718747e-01 1.0321829779413753e-01 1.0064170456835762e-01 9.7742386611574347e-02 9.4505682828298909e-02 9.0924279097211097e-02 8.7000564376269685e-02 8.2748926001688886e-02 7.8197704541076912e-02 7.3390430394133593e-02 6.8385986424495337e-02 6.3257340028033751e-02 5.8088667624246672e-02 5.2970884640460646e-02 4.7633543735816686e-02 4.2567953820319929e-02 3.7865210567924516e-02 3.3593546773968419e-02 2.9794146161882248e-02 2.6480372333295147e-02 2.3640277048890188e-02 2.1241629163348475e-02 1.9238352295992970e-02 1.7577065480374427e-02 1.6202937371432070e-02 1.5064371197400733e-02 1.4115938063096802e-02 1.3318964371325142e-02 1.2642211217899834e-02 1.2061510246739971e-02 1.1558325816139081e-02 1.1118839310041017e-02 1.0732634838581553e-02 1.0392140633813168e-02 1.0091300537223616e-02 9.8257005905291704e-03 9.5914403847147493e-03 9.3857625012996986e-03 9.2059183286881847e-03 9.0495863952811447e-03 8.9149164673486513e-03 8.7999412027587823e-03 8.7026640345452266e-03 8.6215773164209954e-03 8.5548085007515276e-03 8.5008444339546140e-03 8.4579766843889629e-03 8.4246366025738286e-03 8.3987266565489060e-03 8.3782366739262818e-03 8.3615579943122752e-03 8.3472184187460743e-03 8.3338602657937032e-03 8.3244643880291611e-03 8.3149949652118037e-03 8.3053404474804932e-03 8.2952310865791780e-03 8.2848030179063885e-03 8.2737671037112180e-03 8.2624386424179890e-03 8.2498882557030234e-03 8.2364563594417520e-03 8.2218957344386209e-03 8.2060133282847690e-03 8.1885745554627961e-03 8.1693151506313077e-03 8.1478666296082511e-03 8.1242200612851329e-03 8.0975564797609572e-03 8.0676616144817210e-03 8.0341016892756488e-03 7.9964099045880532e-03 7.9541048776287596e-03 7.9067037792627057e-03 7.8536834091722744e-03 7.7950657533101351e-03 7.7298957528721644e-03 7.6583673729615862e-03 7.5806461737225814e-03 7.4973418454451395e-03 7.4094916700973732e-03 7.3190699191730008e-03 7.2290242887960172e-03 7.1441205479777330e-03 7.0704719612419481e-03 7.0175260332273606e-03 6.9984908643446623e-03 7.0325296776502441e-03 7.1475605153002355e-03 7.3858880039266057e-03 7.8144882425036939e-03 8.5461303772200875e-03 3.6144013359402694e-04 +3.8331112591605361e+01 1.1338703627088781e-01 1.1285432700650931e-01 1.1282968673313351e-01 1.1279230885506561e-01 1.1274313627013115e-01 1.1268748729736380e-01 1.1262931556656160e-01 1.1256347265535596e-01 1.1248215502735730e-01 1.1238034418582722e-01 1.1225484848476380e-01 1.1210186259969326e-01 1.1191666109680154e-01 1.1169378668637234e-01 1.1142713056670391e-01 1.1110963717611978e-01 1.1073288401828811e-01 1.1028700999408506e-01 1.0976068232545795e-01 1.0914097618717675e-01 1.0841326851984896e-01 1.0756094162055993e-01 1.0656254298166132e-01 1.0538087897025450e-01 1.0397219992802691e-01 1.0232138314138703e-01 1.0042112570082228e-01 9.8253297162537043e-02 9.5796733620119368e-02 9.3032667367119085e-02 8.9947193085218050e-02 8.6533423677346691e-02 8.2793734716633538e-02 7.8741948630098230e-02 7.4405191572263538e-02 6.9825062720412778e-02 6.5057777317529056e-02 6.0172944760781159e-02 5.5250814937704500e-02 5.0378007830457802e-02 4.5297120106685407e-02 4.0475901690004951e-02 3.6000939673949885e-02 3.1937000092358336e-02 2.8323068969806794e-02 2.5171647006098263e-02 2.2471162661512743e-02 2.0190777005136037e-02 1.8286519957506565e-02 1.6707515787733003e-02 1.5401548586266061e-02 1.4319511058341986e-02 1.3418185572075528e-02 1.2660794795134326e-02 1.2017640524298576e-02 1.1465752230906876e-02 1.0987516562180834e-02 1.0569804691762068e-02 1.0202721799553822e-02 9.8790755937494014e-03 9.5931133961634496e-03 9.3406425738851752e-03 9.1179578669123591e-03 8.9224398748342301e-03 8.7514771050727358e-03 8.6028637393543144e-03 8.4748416335722540e-03 8.3655411524512571e-03 8.2730647035498938e-03 8.1959793481258154e-03 8.1325052031435297e-03 8.0812039027803161e-03 8.0404514159562058e-03 8.0087565237986335e-03 7.9841251996852543e-03 7.9646464712680633e-03 7.9487910113830995e-03 7.9351592422213790e-03 7.9224604875864010e-03 7.9135284307357296e-03 7.9045264627322209e-03 7.8953485383556395e-03 7.8857382244921538e-03 7.8758249358442250e-03 7.8653338133637066e-03 7.8545645628678648e-03 7.8426337235657315e-03 7.8298648900446011e-03 7.8160230470211232e-03 7.8009246720639885e-03 7.7843467599002904e-03 7.7660380905782474e-03 7.7456483755878004e-03 7.7231690972427991e-03 7.6978217561039543e-03 7.6694026426270346e-03 7.6374993939404166e-03 7.6016682540216447e-03 7.5614516035192661e-03 7.5163904481735161e-03 7.4659874208171054e-03 7.4102633957874647e-03 7.3483104977011661e-03 7.2803131009549328e-03 7.2064285930071199e-03 7.1272365670385866e-03 7.0437230998863466e-03 6.9577650034792415e-03 6.8721644662600072e-03 6.7914519714007728e-03 6.7214390367426342e-03 6.6711067774110570e-03 6.6530112822657354e-03 6.6853697747844077e-03 6.7947221287430644e-03 7.0212846108253400e-03 7.4287270608822597e-03 8.1242517578138523e-03 3.4305914620660417e-04 +3.8387741505662653e+01 1.0796875338466885e-01 1.0744967443782495e-01 1.0742620223232516e-01 1.0739059166791598e-01 1.0734373041346734e-01 1.0729067558312631e-01 1.0723519127731256e-01 1.0717237883374887e-01 1.0709480697828243e-01 1.0699769165984273e-01 1.0687798752478463e-01 1.0673206523744130e-01 1.0655541843344403e-01 1.0634284273634127e-01 1.0608851247058526e-01 1.0578569934479763e-01 1.0542637173641423e-01 1.0500112645509192e-01 1.0449915743217691e-01 1.0390814127096877e-01 1.0321413632771660e-01 1.0240130055801401e-01 1.0144918407749928e-01 1.0032233015152904e-01 9.8979034486062961e-02 9.7404898424191366e-02 9.5592988660586936e-02 9.3526054681109819e-02 9.1183963145553409e-02 8.8548877212792879e-02 8.5607608861228521e-02 8.2353674087063886e-02 7.8789430943003072e-02 7.4928157936771544e-02 7.0795817779855733e-02 6.6432162948832169e-02 6.1890860625871083e-02 5.7238315319700021e-02 5.2551032023780669e-02 4.7911536665343153e-02 4.3074843568811555e-02 3.8486266951323247e-02 3.4228106921445220e-02 3.0361837510300752e-02 2.6924362851469350e-02 2.3927373031517860e-02 2.1359665229823355e-02 1.9191734254731217e-02 1.7381621306306608e-02 1.5880839374986834e-02 1.4639664120698448e-02 1.3611358337937092e-02 1.2754808597657498e-02 1.2035041297332183e-02 1.1423823279363674e-02 1.0899322717118225e-02 1.0444802830471668e-02 1.0047790274333010e-02 9.6988853208010012e-03 9.3912561990450796e-03 9.1194385523176765e-03 8.8794500102565531e-03 8.6677707282436130e-03 8.4819124369159300e-03 8.3193939433756411e-03 8.1781193387998555e-03 8.0564179995099971e-03 7.9525131598659690e-03 7.8646013112883637e-03 7.7913205326084877e-03 7.7309790347672141e-03 7.6822095556469995e-03 7.6434683090532782e-03 7.6133376975928225e-03 7.5899221097028490e-03 7.5714048941925207e-03 7.5563321581224238e-03 7.5433733747453198e-03 7.5313015773605819e-03 7.5228105217159356e-03 7.5142530098499917e-03 7.5055282304595777e-03 7.4963924105187520e-03 7.4869685747233254e-03 7.4769954399109984e-03 7.4667578879268493e-03 7.4554161143309278e-03 7.4432777209040438e-03 7.4301192958445700e-03 7.4157663778127740e-03 7.4000069720515250e-03 7.3826022621568486e-03 7.3632192597787244e-03 7.3418498417543087e-03 7.3177539821419196e-03 7.2907380136629880e-03 7.2604099332175143e-03 7.2263478945748701e-03 7.1881168726573210e-03 7.1452805353926421e-03 7.0973660774867496e-03 7.0443933177499855e-03 6.9854992408448936e-03 6.9208591031210860e-03 6.8506225214681627e-03 6.7753404727230017e-03 6.6959503478559749e-03 6.6142362942681505e-03 6.5328621514245261e-03 6.4561346939939089e-03 6.3895785373216593e-03 6.3417313541348002e-03 6.3245293005022817e-03 6.3552901439794017e-03 6.4592433958084675e-03 6.6746197099047406e-03 7.0619453346226439e-03 7.7231295732621864e-03 3.2561078931817218e-04 +3.8444370419719945e+01 1.0280848962559655e-01 1.0230268534292382e-01 1.0228032669472260e-01 1.0224640050842500e-01 1.0220174205542322e-01 1.0215116103836731e-01 1.0209824073878584e-01 1.0203832020144184e-01 1.0196432269217599e-01 1.0187168772463398e-01 1.0175750956916525e-01 1.0161832679125420e-01 1.0144984200737610e-01 1.0124709209992160e-01 1.0100452147996855e-01 1.0071571403808084e-01 1.0037301099802678e-01 9.9967445943168642e-02 9.9488715185774249e-02 9.8925068940672919e-02 9.8263215420476183e-02 9.7488052253448337e-02 9.6580085601318588e-02 9.5505515004854588e-02 9.4224586490120471e-02 9.2723591016130966e-02 9.0995946382296453e-02 8.9025239590652255e-02 8.6792318029810356e-02 8.4280229925627184e-02 8.1476468009557781e-02 7.8374928739737879e-02 7.4977948933100627e-02 7.1298283454988301e-02 6.7360780459184755e-02 6.3203426602689100e-02 5.8877455272961600e-02 5.4446212291333625e-02 4.9982631069703749e-02 4.5565335508109199e-02 4.0961161168522650e-02 3.6594056614038285e-02 3.2542245752935434e-02 2.8864076634180513e-02 2.5594481277749485e-02 2.2744388410243208e-02 2.0302955821702096e-02 1.8241955948756855e-02 1.6521350469048051e-02 1.5094929943503482e-02 1.3915343555003009e-02 1.2938110486847633e-02 1.2124119605553025e-02 1.1440112995428508e-02 1.0859250586586124e-02 1.0360783034580080e-02 9.9288066724247011e-03 9.5514710277159014e-03 9.2198467774170685e-03 8.9274446599565474e-03 8.6690742357078080e-03 8.4409528851843007e-03 8.2397369293507761e-03 8.0630626853982357e-03 7.9085727788267401e-03 7.7742757506951317e-03 7.6585841545254683e-03 7.5598094957290505e-03 7.4762376997787499e-03 7.4065743547503168e-03 7.3492114195703910e-03 7.3028492325983739e-03 7.2660203007644218e-03 7.2373770257130416e-03 7.2151173700720165e-03 7.1975143640481392e-03 7.1831858408107959e-03 7.1708669294820726e-03 7.1593912386150324e-03 7.1513194831721201e-03 7.1431845562571431e-03 7.1348906230288122e-03 7.1262059476034680e-03 7.1172474791224129e-03 7.1077668420101818e-03 7.0980348249864381e-03 7.0872531297326031e-03 7.0757141530608872e-03 7.0632055156403997e-03 7.0495613713452551e-03 7.0345801941140793e-03 7.0180349607338608e-03 6.9996091314076464e-03 6.9792949594417028e-03 6.9563889972532860e-03 6.9307071264652215e-03 6.9018767018747653e-03 6.8694967088674735e-03 6.8331536048005723e-03 6.7924326046045723e-03 6.7468842559100621e-03 6.6965273752498554e-03 6.6405415979655102e-03 6.5790935118531088e-03 6.5123253455781176e-03 6.4407608678181743e-03 6.3652911794697493e-03 6.2876123233243314e-03 6.2102565976514482e-03 6.1373180783436650e-03 6.0740485947534282e-03 6.0285641993522345e-03 6.0122116215140268e-03 6.0414534347995423e-03 6.1402732695200737e-03 6.3450138769662679e-03 6.7132126069151385e-03 7.3417462513185620e-03 3.0904785699024094e-04 +3.8500999333777237e+01 9.7894011963238728e-02 9.7401136225270954e-02 9.7379837878746295e-02 9.7347516839589296e-02 9.7304958272386124e-02 9.7256736314933492e-02 9.7206262239006427e-02 9.7149101332222348e-02 9.7078514534156210e-02 9.6990154536966536e-02 9.6881248870643297e-02 9.6748496282056701e-02 9.6587798741691835e-02 9.6394423270379920e-02 9.6163071922285362e-02 9.5887626373093657e-02 9.5560783491061743e-02 9.5173993467413731e-02 9.4717431782677330e-02 9.4179895724862961e-02 9.3548713255478907e-02 9.2809487348178288e-02 9.1943635783142616e-02 9.0918937471763550e-02 8.9697498103304713e-02 8.8266265438848829e-02 8.6618990799441339e-02 8.4740058318711564e-02 8.2611248669800214e-02 8.0216451581764020e-02 7.7543805834770024e-02 7.4587566949444864e-02 7.1350047181402990e-02 6.7843497337477576e-02 6.4091697897191227e-02 6.0130947092220249e-02 5.6010153718623674e-02 5.1789744510703742e-02 4.7539246663514445e-02 4.3333565145964835e-02 3.8950788848336700e-02 3.4794520009663508e-02 3.0939106835066739e-02 2.7439929106973442e-02 2.4330050789083475e-02 2.1619685636796400e-02 1.9298343845889302e-02 1.7339021644130825e-02 1.5703514420795414e-02 1.4347784275635935e-02 1.3226741416710371e-02 1.2298053134010735e-02 1.1524513589073051e-02 1.0874496785305833e-02 1.0322487300220336e-02 9.8487648153063531e-03 9.4382174630099000e-03 9.0795866509279372e-03 8.7643900000642476e-03 8.4864636430530705e-03 8.2408773702366041e-03 8.0240383250212953e-03 7.8327702041280332e-03 7.6648276923390992e-03 7.5179710735842715e-03 7.3903081495376027e-03 7.2803305225239354e-03 7.1864335973608091e-03 7.1069883127800465e-03 7.0407644304639532e-03 6.9862335250492173e-03 6.9421602040916405e-03 6.9071495097842665e-03 6.8799203979854279e-03 6.8587598019239065e-03 6.8420260207992514e-03 6.8284050874403727e-03 6.8166945579491234e-03 6.8057856355412463e-03 6.7981125433690679e-03 6.7903794026437161e-03 6.7824951101493596e-03 6.7742393747452995e-03 6.7657233690650489e-03 6.7567109895734761e-03 6.7474596268092711e-03 6.7372104439128609e-03 6.7262413818433738e-03 6.7143505507696122e-03 6.7013802957530989e-03 6.6871390441637646e-03 6.6714109855485985e-03 6.6538952188503111e-03 6.6345843565996055e-03 6.6128097274367062e-03 6.5883962926992371e-03 6.5609898123172115e-03 6.5302090779842852e-03 6.4956609721774890e-03 6.4569511963149338e-03 6.4136525013206410e-03 6.3657827520108550e-03 6.3125621334737172e-03 6.2541489923266767e-03 6.1906785326567154e-03 6.1226486541064622e-03 6.0509064457981328e-03 5.9770641822511315e-03 5.9035290945361535e-03 5.8341930295399153e-03 5.7740484550649219e-03 5.7308105553875730e-03 5.7152656434644022e-03 5.7430631903846521e-03 5.8370022654110039e-03 6.0316306361583426e-03 6.3816438616012333e-03 6.9791339148161415e-03 2.9332552648998116e-04 +3.8557628247834529e+01 9.3213663408764996e-02 9.2733378723652865e-02 9.2713091225920780e-02 9.2682299074793903e-02 9.2641742483877465e-02 9.2595770193970181e-02 9.2547629950237353e-02 9.2493102402996200e-02 9.2425770122109493e-02 9.2341489063741525e-02 9.2237613945075458e-02 9.2110996325887540e-02 9.1957728344328166e-02 9.1773296549411007e-02 9.1552648763685379e-02 9.1289950710478213e-02 9.0978238489420160e-02 9.0609359658434072e-02 9.0173946719448714e-02 8.9661318714992722e-02 8.9059394633407368e-02 8.8354450049263705e-02 8.7528771984986986e-02 8.6551645364863802e-02 8.5386949071501725e-02 8.4022256404500312e-02 8.2451635494219869e-02 8.0660229154942795e-02 7.8630706178355478e-02 7.6347756359540803e-02 7.3800131571407981e-02 7.0982426163608017e-02 6.7896924866284639e-02 6.4555393338902325e-02 6.0980589347557242e-02 5.7207196753028398e-02 5.3281904122633790e-02 4.9262352396865411e-02 4.5214820332045401e-02 4.1210668542253297e-02 3.7038698490660778e-02 3.3083137088063673e-02 2.9414647544355323e-02 2.6085791197870599e-02 2.3127862587966608e-02 2.0550404184378646e-02 1.8343270316120642e-02 1.6480629351443270e-02 1.4926027485247807e-02 1.3637497210897740e-02 1.2572102553862987e-02 1.1689555790795402e-02 1.0954464049674234e-02 1.0336753554156574e-02 9.8121684353595535e-03 9.3619665727665176e-03 8.9717886249537377e-03 8.6309384229921703e-03 8.3313582368697639e-03 8.0671933305880850e-03 7.8337607188779593e-03 7.6276478178163741e-03 7.4458373471596433e-03 7.2861964497634990e-03 7.1465972134497867e-03 7.0252417682144346e-03 6.9206968410042953e-03 6.8314375801908018e-03 6.7559157347542934e-03 6.6929620685989809e-03 6.6411238429257271e-03 6.5992267668533080e-03 6.5659448444003368e-03 6.5400603097397992e-03 6.5199446887423806e-03 6.5040373535536419e-03 6.4910891829266064e-03 6.4799570892797708e-03 6.4695870360573279e-03 6.4622929823306887e-03 6.4549418490813795e-03 6.4474470318807188e-03 6.4395991209983050e-03 6.4315037969310731e-03 6.4229366238091360e-03 6.4141422548234179e-03 6.4043993702200264e-03 6.3939721675027924e-03 6.3826687299583969e-03 6.3703391906150342e-03 6.3568014402965280e-03 6.3418503293384328e-03 6.3251998253082004e-03 6.3068428835283156e-03 6.2861438952118084e-03 6.2629364551686799e-03 6.2368838224186821e-03 6.2076236199801018e-03 6.1747821499474687e-03 6.1379845917579889e-03 6.0968248063616535e-03 6.0513197548858139e-03 6.0007281743641207e-03 5.9452005766255939e-03 5.8848654869720378e-03 5.8201962094511558e-03 5.7519979879936010e-03 5.6818034525239671e-03 5.6119009233902813e-03 5.5459899747180132e-03 5.4888164788954117e-03 5.4477144862826073e-03 5.4329374809252845e-03 5.4593618586165618e-03 5.5486604400869230e-03 5.7336743711813038e-03 6.0663973130935644e-03 6.6343719647166330e-03 2.7840123830475511e-04 +3.8614257161891821e+01 8.8756336263771898e-02 8.8288315649570709e-02 8.8268990756913565e-02 8.8239655805100112e-02 8.8201007529380301e-02 8.8157180560050827e-02 8.8111266905881835e-02 8.8059252180248543e-02 8.7995025328826998e-02 8.7914636103437957e-02 8.7815560617615501e-02 8.7694796210056672e-02 8.7548616421216016e-02 8.7372717203821837e-02 8.7162280817459761e-02 8.6911743925885479e-02 8.6614466198892223e-02 8.6262674203424719e-02 8.5847436332070010e-02 8.5358569227592010e-02 8.4784555505652587e-02 8.4112312107460036e-02 8.3324954878046267e-02 8.2393204783003327e-02 8.1282631422035428e-02 7.9981403847912955e-02 7.8483891116365306e-02 7.6775958112726861e-02 7.4841118751236474e-02 7.2664823479328372e-02 7.0236405968117699e-02 6.7550780266779395e-02 6.4610200950900351e-02 6.1425966790387483e-02 5.8019855952402034e-02 5.4425008783162657e-02 5.0685993354226848e-02 4.6857792080824245e-02 4.3003585816344052e-02 3.9191357269127085e-02 3.5220105582084778e-02 3.1455607276392711e-02 2.7965021959253829e-02 2.4798234845983910e-02 2.1984864537828965e-02 1.9533823353523331e-02 1.7435301441602644e-02 1.5664589762497617e-02 1.4186906102121227e-02 1.2962256865949430e-02 1.1949757732740160e-02 1.1111067763512209e-02 1.0412519172484628e-02 9.8255145770496898e-03 9.3269957519129271e-03 8.8991504462981007e-03 8.5283345116452334e-03 8.2043862063410893e-03 7.9196512623762143e-03 7.6685686221995676e-03 7.4466901671283578e-03 7.2507745687329086e-03 7.0779556325290972e-03 6.9262073439812872e-03 6.7935080306777487e-03 6.6781494628809900e-03 6.5787697621778720e-03 6.4939198697914289e-03 6.4221283490092712e-03 6.3622839507858448e-03 6.3130058870019693e-03 6.2731779562461999e-03 6.2415397263646229e-03 6.2169335945762069e-03 6.1978115161197434e-03 6.1826899457942874e-03 6.1703814188426480e-03 6.1597992838608130e-03 6.1499415690295959e-03 6.1430078915703607e-03 6.1360199572843884e-03 6.1288954391305293e-03 6.1214352730433585e-03 6.1137399178346659e-03 6.1055960305917345e-03 6.0972361554726649e-03 6.0879746409980857e-03 6.0780626185867118e-03 6.0673176536058049e-03 6.0555972836002277e-03 6.0427283969074616e-03 6.0285159797607360e-03 6.0126881360480795e-03 5.9952381481606816e-03 5.9755618403859690e-03 5.9535010166249175e-03 5.9287355733976151e-03 5.9009210378609886e-03 5.8697021755951704e-03 5.8347226849966485e-03 5.7955964974599769e-03 5.7523397160267773e-03 5.7042477299537285e-03 5.6514636027000563e-03 5.5941095096055200e-03 5.5326353701278374e-03 5.4678066432777431e-03 5.4010802357794549e-03 5.3346314117712207e-03 5.2719769404270672e-03 5.2176282386931878e-03 5.1785569892132130e-03 5.1645100814050734e-03 5.1896288994597072e-03 5.2745154676624344e-03 5.4503883375350351e-03 5.7666723033517374e-03 6.3065847801398655e-03 2.6423458217966598e-04 +3.8670886075949113e+01 8.4511449380365450e-02 8.4055373071762363e-02 8.4036965720891574e-02 8.4009019395863430e-02 8.3972189837461200e-02 8.3930408639101409e-02 8.3886619235262833e-02 8.3837002267666300e-02 8.3775738542530634e-02 8.3699062566924776e-02 8.3604566326856408e-02 8.3489386226016968e-02 8.3349968843046171e-02 8.3182209874456459e-02 8.2981515204139586e-02 8.2742579929598728e-02 8.2459072348282925e-02 8.2123580520661127e-02 8.1727588570411139e-02 8.1261387696741211e-02 8.0713998005074658e-02 8.0072948009997688e-02 7.9322143827358249e-02 7.8433675721769944e-02 7.7374725345549109e-02 7.6134029127683633e-02 7.4706241952966920e-02 7.3077915922244746e-02 7.1233369142700065e-02 6.9158775226154573e-02 6.6844019925680162e-02 6.4284318906081883e-02 6.1481894269433193e-02 5.8447595519643347e-02 5.5202262566470456e-02 5.1777560035813144e-02 4.8216030809075508e-02 4.4570120289391640e-02 4.0900055049552395e-02 3.7270598589216067e-02 3.3490457469613981e-02 2.9907838873552080e-02 2.6586571334306024e-02 2.3573999136376991e-02 2.0898153548765973e-02 1.8567355467119177e-02 1.6572122528304045e-02 1.4888820757857506e-02 1.3484263848155926e-02 1.2320340086487547e-02 1.1358119449137139e-02 1.0561114264137830e-02 9.8972981872467499e-03 9.3394780882303952e-03 8.8657345042342187e-03 8.4591391032964348e-03 8.1067274411112788e-03 7.7988455954531681e-03 7.5282226265743282e-03 7.2895764722125649e-03 7.0786821380720930e-03 6.8924609835545022e-03 6.7281903575685618e-03 6.5839457522292259e-03 6.4578064467057271e-03 6.3481493957927189e-03 6.2536805702393915e-03 6.1730229485323770e-03 6.1047781092706628e-03 6.0478899237774953e-03 6.0010460025076654e-03 5.9631853693804431e-03 5.9331099249148112e-03 5.9097192669543179e-03 5.8915418209879210e-03 5.8771673298337202e-03 5.8654669521473564e-03 5.8554076956596800e-03 5.8460370900546175e-03 5.8394460422911834e-03 5.8328034212603722e-03 5.8260309667386139e-03 5.8189394509017061e-03 5.8116243680230977e-03 5.8038829216648631e-03 5.7959361443781264e-03 5.7871322949080107e-03 5.7777100826984845e-03 5.7674960882621853e-03 5.7563548890107279e-03 5.7441219277317747e-03 5.7306118273899075e-03 5.7155661318357889e-03 5.6989784355323588e-03 5.6802744463714458e-03 5.6593037737466146e-03 5.6357621323699179e-03 5.6093220718317609e-03 5.5796459119573207e-03 5.5463949581437844e-03 5.5092022236295900e-03 5.4680829966923814e-03 5.4223675123591846e-03 5.3721917531591957e-03 5.3176718571682578e-03 5.2592355108221365e-03 5.1976103474243923e-03 5.1341812794990444e-03 5.0710160822374810e-03 5.0114577230940625e-03 4.9597947080268637e-03 4.9226541974072462e-03 4.9093014331727551e-03 4.9331789840523152e-03 5.0138708093620307e-03 5.1810527711245958e-03 5.4817073006802079e-03 5.9949395298343798e-03 2.5078718887673617e-04 +3.8727514990006405e+01 8.0468919670347458e-02 8.0024477721297546e-02 8.0006943741010181e-02 7.9980320879744563e-02 7.9945224855871605e-02 7.9905394424685819e-02 7.9863631599986301e-02 7.9816302554228113e-02 7.9757866129263180e-02 7.9684732957585769e-02 7.9594605627137591e-02 7.9484753199119615e-02 7.9351787308791971e-02 7.9191794179492569e-02 7.9000393001989674e-02 7.8772525374730465e-02 7.8502153965328017e-02 7.8182211616895383e-02 7.7804578950658856e-02 7.7359999738932914e-02 7.6838006643279236e-02 7.6226711333636774e-02 7.5510773426378075e-02 7.4663588825212263e-02 7.3653876206811547e-02 7.2470912341610225e-02 7.1109623596353769e-02 6.9557216102358696e-02 6.7798773198210829e-02 6.5821156004507858e-02 6.3614774139757135e-02 6.1175127790129340e-02 5.8504404551987153e-02 5.5613021672000440e-02 5.2520920441633930e-02 4.9258354627931100e-02 4.5865932995003106e-02 4.2393679948296424e-02 3.8899004803864719e-02 3.5443603155077795e-02 3.1845422179448649e-02 2.8435938954123059e-02 2.5275815033171563e-02 2.2409982187616345e-02 1.9864968331548414e-02 1.7648539394883197e-02 1.5751532175880142e-02 1.4151342180897907e-02 1.2816306699925107e-02 1.1710108119920865e-02 1.0795677943011336e-02 1.0038292709939053e-02 9.4074879058383375e-03 8.8774060186879791e-03 8.4272103482922640e-03 8.0408127915550364e-03 7.7058948736839009e-03 7.4132852036317039e-03 7.1560770372393065e-03 6.9292533559046519e-03 6.7288011325909178e-03 6.5517962741279152e-03 6.3956525056939086e-03 6.2585417557079973e-03 6.1386392291640961e-03 6.0344028303449390e-03 5.9446030092524466e-03 5.8679312114834573e-03 5.8030584191905866e-03 5.7489808986487386e-03 5.7044512815324737e-03 5.6684610936812794e-03 5.6398714958069132e-03 5.6176364693124809e-03 5.6003571449938956e-03 5.5866929452225780e-03 5.5755707676262587e-03 5.5660086382138436e-03 5.5571011506759527e-03 5.5508358568920873e-03 5.5445215410885032e-03 5.5380838096435294e-03 5.5313427865234643e-03 5.5243892460053491e-03 5.5170304184633603e-03 5.5094763928975532e-03 5.5011076665714273e-03 5.4921511394387997e-03 5.4824419631078177e-03 5.4718514081343577e-03 5.4602230503972187e-03 5.4473806749599177e-03 5.4330786034513228e-03 5.4173107280703669e-03 5.3995311669739329e-03 5.3795969512166779e-03 5.3572188345910763e-03 5.3320855506970802e-03 5.3038761089851793e-03 5.2722685546352233e-03 5.2369140426579931e-03 5.1978270876909920e-03 5.1543710528475523e-03 5.1066751890708533e-03 5.0548498945320285e-03 4.9993017176914907e-03 4.9407223292306877e-03 4.8804281934720171e-03 4.8203848907425878e-03 4.7637701481611470e-03 4.7146605386773430e-03 4.6793556700939921e-03 4.6666628598094019e-03 4.6893602809987929e-03 4.7660639718012307e-03 4.9249830884511214e-03 5.2107779954958027e-03 5.6986440896280906e-03 2.3802262736935927e-04 +3.8784143904063697e+01 7.6619140920957049e-02 7.6186030070568414e-02 7.6169328971550973e-02 7.6143966697738985e-02 7.6110523508304856e-02 7.6072553236496601e-02 7.6032723777005526e-02 7.5987577808364806e-02 7.5931839039984281e-02 7.5862085996121986e-02 7.5776126835197258e-02 7.5671357161201422e-02 7.5544546049718664e-02 7.5391961457047574e-02 7.5209426035881474e-02 7.4992116500193412e-02 7.4734276285102985e-02 7.4429167072488922e-02 7.4069047631590543e-02 7.3645093336525747e-02 7.3147325620531403e-02 7.2564412202882803e-02 7.1881731129925588e-02 7.1073923225302135e-02 7.0111172631234051e-02 6.8983270704105856e-02 6.7685401658216307e-02 6.6205394060920547e-02 6.4529059394961091e-02 6.2643912377467831e-02 6.0540859701006818e-02 5.8215669915668226e-02 5.5670494345074831e-02 5.2915334390835157e-02 4.9969270730673886e-02 4.6861208326486291e-02 4.3629908850002508e-02 4.0323086471514336e-02 3.6995463975122031e-02 3.3705813297311475e-02 3.0280877772491447e-02 2.7036203758077845e-02 2.4029441898740012e-02 2.1303233431121293e-02 1.8882682502308529e-02 1.6775034391730882e-02 1.4971436756091460e-02 1.3450270865564834e-02 1.2181328526659634e-02 1.1130002498215550e-02 1.0260997406576407e-02 9.5412692025134017e-03 8.9418394277872015e-03 8.4381208919772042e-03 8.0103063988795718e-03 7.6431065345401433e-03 7.3248167265417587e-03 7.0467240813061839e-03 6.8022678690835437e-03 6.5866828585611882e-03 6.3961573888810528e-03 6.2279141797910373e-03 6.0794965223679451e-03 5.9491679634444804e-03 5.8351948574595176e-03 5.7361120330160819e-03 5.6507512162585882e-03 5.5778689261217910e-03 5.5162021146095471e-03 5.4647968518290527e-03 5.4224675795108502e-03 5.3882557358405437e-03 5.3610788201683560e-03 5.3399425186228758e-03 5.3235170870842962e-03 5.3105281960462549e-03 5.2999557390755615e-03 5.2908662491204742e-03 5.2823990659638092e-03 5.2764434787242170e-03 5.2704412949158676e-03 5.2643217970930398e-03 5.2579140003664870e-03 5.2513041915476033e-03 5.2443091336600803e-03 5.2371285122950126e-03 5.2291734736581745e-03 5.2206596905766270e-03 5.2114304635290862e-03 5.2013634264843362e-03 5.1903098877583969e-03 5.1781023431589565e-03 5.1645072624267405e-03 5.1495188218153611e-03 5.1326181487835135e-03 5.1136693310378217e-03 5.0923974205746032e-03 5.0685065377272910e-03 5.0416915593945247e-03 5.0116464458785310e-03 4.9780396000505146e-03 4.9408848019709458e-03 4.8995769095020424e-03 4.8542387741972283e-03 4.8049753370637376e-03 4.7521730499232992e-03 4.6964893924457624e-03 4.6391757527136602e-03 4.5821005504449357e-03 4.5282844135297855e-03 4.4816024211604549e-03 4.4480427653262053e-03 4.4359773974777103e-03 4.4575528257114949e-03 4.5304648496450432e-03 4.6815281740105992e-03 4.9531954883385168e-03 5.4169450608091661e-03 2.2590630719994943e-04 +3.8840772818120989e+01 7.2952960386636595e-02 7.2530886475878492e-02 7.2514978702798161e-02 7.2490818103923410e-02 7.2458949903002612e-02 7.2422753369971518e-02 7.2384768333332405e-02 7.2341705364532272e-02 7.2288540510488164e-02 7.2222012336977351e-02 7.2140029766826069e-02 7.2040109112132739e-02 7.1919169621511916e-02 7.1773652593363366e-02 7.1599574749240141e-02 7.1392337055466895e-02 7.1146450736149086e-02 7.0855491101091142e-02 7.0512077561666608e-02 7.0107797087753845e-02 6.9633137196388237e-02 6.9077295802134314e-02 6.8426335932673971e-02 6.7656085418080672e-02 6.6738125617519267e-02 6.5662737937366406e-02 6.4425351481795068e-02 6.3014387175678380e-02 6.1416349342930603e-02 5.9619374044218541e-02 5.7614839608390291e-02 5.5398767679237841e-02 5.2973271785125266e-02 5.0347953316173810e-02 4.7541068772185585e-02 4.4580233674794287e-02 4.1502445758358250e-02 3.8353214703074290e-02 3.5184701473974123e-02 3.2052891872944821e-02 2.8792902210348456e-02 2.5705109542621753e-02 2.2844302039212883e-02 2.0250946263524545e-02 1.7948798020708798e-02 1.5944614234666511e-02 1.4229845159057205e-02 1.2783815905378955e-02 1.1577706801863168e-02 1.0578541120606083e-02 9.7527123765615807e-03 9.0687751779240239e-03 8.4991650057068668e-03 8.0205028706534145e-03 7.6139604295190092e-03 7.2650074626687084e-03 6.9625228184084934e-03 6.6982292594830956e-03 6.4658947937211745e-03 6.2609933814551950e-03 6.0799046553010345e-03 5.9199907992812644e-03 5.7789181989734125e-03 5.6550374416523205e-03 5.5467014918819339e-03 5.4525182769312435e-03 5.3713777545793540e-03 5.3020982909817915e-03 5.2434795436228027e-03 5.1946149230020326e-03 5.1543776278133455e-03 5.1218565462966201e-03 5.0960227384120281e-03 5.0759310476629071e-03 5.0603174504705037e-03 5.0479706024048792e-03 5.0379207844608162e-03 5.0292806483491449e-03 5.0212320757981408e-03 5.0155709354545910e-03 5.0098655043613136e-03 5.0040485602033738e-03 4.9979575711690495e-03 4.9916745577305343e-03 4.9850253456930650e-03 4.9781997307702299e-03 4.9706379966597877e-03 4.9625451428140892e-03 4.9537722170698070e-03 4.9442029032792352e-03 4.9336958611926589e-03 4.9220918681796228e-03 4.9091689433295041e-03 4.8949215339111158e-03 4.8788564445686492e-03 4.8608444725229110e-03 4.8406242634789556e-03 4.8179145663689773e-03 4.7924253437091396e-03 4.7638656867610169e-03 4.7319203962376362e-03 4.6966025547089856e-03 4.6573369617187513e-03 4.6142403852672560e-03 4.5674125780889299e-03 4.5172208855542651e-03 4.4642902809698968e-03 4.4098102826116599e-03 4.3555569367051848e-03 4.3044015133321444e-03 4.2600275247425519e-03 4.2281270916808946e-03 4.2166582507947355e-03 4.2371669687947715e-03 4.3064741486177303e-03 4.4500687507116488e-03 4.7083045657387683e-03 5.1491258845615768e-03 2.1440538574229206e-04 +3.8897401732178281e+01 6.9461657130147431e-02 6.9050335173766755e-02 6.9035183011664655e-02 6.9012167108980921e-02 6.8981800068963872e-02 6.8947294816779872e-02 6.8911069341132156e-02 6.8869993851272793e-02 6.8819284802507763e-02 6.8755833325073526e-02 6.8677644513204156e-02 6.8582349820496324e-02 6.8467011733398309e-02 6.8328236887577901e-02 6.8162227110385359e-02 6.7964597256515935e-02 6.7730113956349591e-02 6.7452651635967337e-02 6.7125173647961930e-02 6.6739659473529125e-02 6.6287041072066372e-02 6.5757021893481427e-02 6.5136318045906055e-02 6.4401889129172690e-02 6.3526648629129698e-02 6.2501344627525490e-02 6.1321638805531639e-02 5.9976515809758352e-02 5.8453139202002867e-02 5.6740235711794131e-02 5.4829631152807021e-02 5.2717585831743213e-02 5.0406174184701419e-02 4.7904612863701158e-02 4.5230369119748454e-02 4.2409825825222673e-02 3.9478296231614134e-02 3.6479186481682836e-02 3.3462214696092472e-02 3.0480711647979827e-02 2.7377763707786471e-02 2.4439303874076574e-02 2.1717399010279571e-02 1.9250451053913712e-02 1.7060938945912905e-02 1.5155161643892459e-02 1.3524863794486886e-02 1.2150274152297948e-02 1.1003898523279754e-02 1.0054314526653450e-02 9.2695243016895704e-03 8.6196042194092957e-03 8.0783350628670526e-03 7.6234869460824264e-03 7.2371622082974176e-03 6.9055522740574344e-03 6.6180904382378124e-03 6.3669134123296549e-03 6.1461015244869861e-03 5.9513559589365267e-03 5.7792380712668526e-03 5.6272425277330831e-03 5.4931526591953297e-03 5.3754017434222735e-03 5.2724250411313170e-03 5.1828999422423817e-03 5.1057717424331994e-03 5.0399175883943546e-03 4.9841967396863345e-03 4.9377476052302159e-03 4.8994992378617718e-03 4.8685856346352739e-03 4.8440287746045335e-03 4.8249302363574231e-03 4.8100884794120558e-03 4.7983520415073094e-03 4.7887991104927467e-03 4.7805861858337510e-03 4.7729355952543457e-03 4.7675543914042990e-03 4.7621310888914421e-03 4.7566017883308061e-03 4.7508119944655687e-03 4.7448396716788998e-03 4.7385192617706356e-03 4.7320311588475378e-03 4.7248433469304187e-03 4.7171506786269626e-03 4.7088115673463663e-03 4.6997154486643012e-03 4.6897279715025133e-03 4.6786977866548687e-03 4.6664138932334814e-03 4.6528709970411874e-03 4.6376003132900861e-03 4.6204790185872509e-03 4.6012586824377890e-03 4.5796719614663592e-03 4.5554431603783523e-03 4.5282957557238931e-03 4.4979301377792505e-03 4.4643587268518685e-03 4.4270347874128136e-03 4.3860693042193574e-03 4.3415570974176696e-03 4.2938473474905545e-03 4.2435341233271490e-03 4.1917481223722446e-03 4.1401775694600218e-03 4.0915517380929606e-03 4.0493720130686120e-03 4.0190490349790928e-03 4.0081473235765675e-03 4.0276418996323029e-03 4.0935218849362130e-03 4.2300158292983368e-03 4.4754820596417649e-03 4.8945050477703679e-03 2.0348868012298767e-04 +3.8954030646235573e+01 6.6136924326524502e-02 6.5736075140826356e-02 6.5721643031818336e-02 6.5699717818766309e-02 6.5670781541999679e-02 6.5637888992238602e-02 6.5603342086980654e-02 6.5564162912651172e-02 6.5515796938428336e-02 6.5455280745702005e-02 6.5380711209363951e-02 6.5289829614138484e-02 6.5179835067073796e-02 6.5047491903186191e-02 6.4889178504487291e-02 6.4700713725463058e-02 6.4477107789014443e-02 6.4212520393135089e-02 6.3900242899050330e-02 6.3532629094132223e-02 6.3101034737030215e-02 6.2595645292913643e-02 6.2003799525475210e-02 6.1303536122090704e-02 6.0469038617587532e-02 5.9491499502536266e-02 5.8366801333797083e-02 5.7084465218918412e-02 5.5632281972290601e-02 5.3999539819662198e-02 5.2178489129966442e-02 5.0165615236618805e-02 4.7962952394304141e-02 4.5579347247130975e-02 4.3031511280450539e-02 4.0344649043941277e-02 3.7552465222997905e-02 3.4696358797948586e-02 3.1823718542789571e-02 2.8985345188273250e-02 2.6031911548369691e-02 2.3235597338859475e-02 2.0645882374373547e-02 1.8299208489309042e-02 1.6216845494832609e-02 1.4404662974448460e-02 1.2854691835454264e-02 1.1548025934042151e-02 1.0458436331126624e-02 9.5559823504019273e-03 8.8101982769143317e-03 8.1926090249603220e-03 7.6782753556423307e-03 7.2460602646400706e-03 6.8789509629303457e-03 6.5638248184838191e-03 6.2906420318089434e-03 6.0519326331575337e-03 5.8420736706779617e-03 5.6569821815095423e-03 5.4933921508939151e-03 5.3489240937047199e-03 5.2214724430613224e-03 5.1095490339900353e-03 5.0116673235558965e-03 4.9265707086063818e-03 4.8532570723291224e-03 4.7906594268010529e-03 4.7376936833510444e-03 4.6935410228196766e-03 4.6571835922998156e-03 4.6277982715288010e-03 4.6044554469624995e-03 4.5863011289367190e-03 4.5721931815184561e-03 4.5610370740533351e-03 4.5519565423546597e-03 4.5441497740639179e-03 4.5368775498521386e-03 4.5317624846981132e-03 4.5266074048102610e-03 4.5213515700288694e-03 4.5158481255437363e-03 4.5101711795915720e-03 4.5041633651070464e-03 4.4979961388775793e-03 4.4911638186935741e-03 4.4838516109747765e-03 4.4759249316400473e-03 4.4672786845120615e-03 4.4577851631743262e-03 4.4473005037809496e-03 4.4356241440890688e-03 4.4227510365392872e-03 4.4082356025397090e-03 4.3919610841579460e-03 4.3736913376904206e-03 4.3531722419466986e-03 4.3301417368967832e-03 4.3043369753329591e-03 4.2754731685240551e-03 4.2435621079649263e-03 4.2080841188958402e-03 4.1691446883599876e-03 4.1268339470293958e-03 4.0814838058483259e-03 4.0336589525402991e-03 3.9844341629860607e-03 3.9354141691314362e-03 3.8891932476357214e-03 3.8490996317792781e-03 3.8202763565074165e-03 3.8099138208345928e-03 3.8284442415948061e-03 3.8910659575419767e-03 4.0208092329333464e-03 4.2541352863997486e-03 4.6524343758913150e-03 1.9312658356865082e-04 +3.9010659560292865e+01 6.2970846849787210e-02 6.2580198886719979e-02 6.2566452241814355e-02 6.2545566256016344e-02 6.2517994157698306e-02 6.2486639379874552e-02 6.2453693732596356e-02 6.2416323877552617e-02 6.2370193383064793e-02 6.2312477520071283e-02 6.2241360747800838e-02 6.2154689116149554e-02 6.2049792038527785e-02 6.1923584262384458e-02 6.1772612565645285e-02 6.1592890368184217e-02 6.1379660214830233e-02 6.1127353867418056e-02 6.0829575496884142e-02 6.0479035830429052e-02 6.0067494735593051e-02 5.9585597260188264e-02 5.9021275806965243e-02 5.8353597905388584e-02 5.7557957936281483e-02 5.6625971587359318e-02 5.5553731172383665e-02 5.4331268308079557e-02 5.2946970616752222e-02 5.1390660077026487e-02 4.9654989844172423e-02 4.7736657394297811e-02 4.5637655902646540e-02 4.3366476209159004e-02 4.0939106129161414e-02 3.8379623856796129e-02 3.5720198045600907e-02 3.3000312516188547e-02 3.0265134966449433e-02 2.7563055234552530e-02 2.4751967341130068e-02 2.2090955653657283e-02 1.9627040618918724e-02 1.7394803241644233e-02 1.5414368388116478e-02 1.3691203165245630e-02 1.2217616693202968e-02 1.0975530979659903e-02 9.9399248148932355e-03 9.0822699467998230e-03 8.3735599363599939e-03 7.7866985221904808e-03 7.2979642737295135e-03 6.8872595837669746e-03 6.5384129689343715e-03 6.2389537986029921e-03 5.9793430006045926e-03 5.7524843182586282e-03 5.5530366958722399e-03 5.3771222195536173e-03 5.2216388644313943e-03 5.0843266914298501e-03 4.9631856839361796e-03 4.8568023069111843e-03 4.7637643175783197e-03 4.6828778353488138e-03 4.6131907167806354e-03 4.5536890683041979e-03 4.5033426482780393e-03 4.4613732927397875e-03 4.4268136190605146e-03 4.3988812730327695e-03 4.3766926602754304e-03 4.3594360326594597e-03 4.3460257314044595e-03 4.3354213517841451e-03 4.3267899344096002e-03 4.3193693015143846e-03 4.3124567915362073e-03 4.3075947450151629e-03 4.3026946648564712e-03 4.2976988144384793e-03 4.2924676027604894e-03 4.2870714720395194e-03 4.2813608423660741e-03 4.2754986746070932e-03 4.2690043209912820e-03 4.2620538177725858e-03 4.2545192381803626e-03 4.2463006846929349e-03 4.2372767679898097e-03 4.2273107405665193e-03 4.2162119640656555e-03 4.2039756262030889e-03 4.1901782094378396e-03 4.1747087227556670e-03 4.1573427035254242e-03 4.1378386009095986e-03 4.1159473179469691e-03 4.0914190094405826e-03 4.0639829768585010e-03 4.0336504146401657e-03 3.9999273736581863e-03 3.9629141147289665e-03 3.9226963102412093e-03 3.8795894529359979e-03 3.8341302978215715e-03 3.7873404560607141e-03 3.7407452826377528e-03 3.6968107131941995e-03 3.6587003646178871e-03 3.6313028591735161e-03 3.6214529185601531e-03 3.6390667153421807e-03 3.6985907895423615e-03 3.8219161933899645e-03 4.0437005614629169e-03 4.4222974085629616e-03 1.8329098595716060e-04 +3.9067288474350157e+01 5.9955883344976639e-02 5.9575172785740059e-02 5.9562079541051451e-02 5.9542183732057337e-02 5.9515911591894684e-02 5.9486023064040189e-02 5.9454604885438932e-02 5.9418961332623046e-02 5.9374963628197532e-02 5.9319919304022736e-02 5.9252096394093484e-02 5.9169440881040793e-02 5.9069406459615073e-02 5.8949051337896782e-02 5.8805082905293057e-02 5.8633700146603136e-02 5.8430367175309479e-02 5.8189775217536939e-02 5.7905826754171386e-02 5.7571572886881334e-02 5.7179158810646433e-02 5.6719667760538536e-02 5.6181598105846178e-02 5.5544998297472364e-02 5.4786417101454078e-02 5.3897873196450438e-02 5.2875658088538613e-02 5.1710289197800706e-02 5.0390721977494467e-02 4.8907285775010988e-02 4.7253015865931329e-02 4.5424809696703490e-02 4.3424618640464083e-02 4.1260591427695573e-02 3.8948022967030545e-02 3.6509914805467357e-02 3.3976968865468714e-02 3.1386841634385411e-02 2.8782583015825230e-02 2.6210285538804747e-02 2.3534716697156805e-02 2.1002492155257017e-02 1.8658294416405170e-02 1.6534937941121128e-02 1.4651463470054468e-02 1.3012960933210973e-02 1.1612009711590255e-02 1.0431324542951636e-02 9.4470369997144074e-03 8.6319651822259983e-03 7.9584924973273175e-03 7.4008351234432900e-03 6.9364302715746529e-03 6.5461688515593836e-03 6.2146792548737088e-03 5.9301105827199102e-03 5.6833996074803989e-03 5.4678051534807317e-03 5.2782539752897640e-03 5.1110629429862693e-03 4.9632858127682559e-03 4.8327762036804367e-03 4.7176343739095145e-03 4.6165176867792330e-03 4.5280844969796206e-03 4.4512005250239390e-03 4.3849611162437383e-03 4.3284028373973202e-03 4.2805466275028809e-03 4.2406529655036468e-03 4.2078024443165697e-03 4.1812514632601945e-03 4.1601601763157740e-03 4.1437569942490947e-03 4.1310099518114731e-03 4.1209301022908686e-03 4.1127256580266195e-03 4.1056721230658269e-03 4.0991015915142464e-03 4.0944800881277804e-03 4.0898224344336955e-03 4.0850737492865025e-03 4.0801013473875988e-03 4.0749721856800846e-03 4.0695440873124390e-03 4.0639719369181251e-03 4.0577988857048181e-03 4.0511922523745348e-03 4.0440304392115982e-03 4.0362184910254029e-03 4.0276410241189258e-03 4.0181680564403809e-03 4.0076183840374443e-03 3.9959874190668267e-03 3.9828726162042848e-03 3.9681684674706735e-03 3.9516616153338234e-03 3.9331224595065368e-03 3.9123142269142193e-03 3.8889994332867881e-03 3.8629207753856252e-03 3.8340888807572616e-03 3.8020342564259631e-03 3.7668521951149262e-03 3.7286241307294206e-03 3.6876499473593293e-03 3.6444398445705144e-03 3.5999648901968639e-03 3.5556749760000017e-03 3.5139140254051991e-03 3.4776891547486383e-03 3.4516471183949687e-03 3.4422844980650544e-03 3.4590268670265639e-03 3.5156060355995972e-03 3.6328300152921114e-03 3.8436417861474385e-03 4.2035078540622823e-03 1.7395519836234028e-04 +3.9123917388407449e+01 5.7084850221362608e-02 5.6713820051770530e-02 5.6701349567348687e-02 5.6682397202951845e-02 5.6657363578743833e-02 5.6628873146905588e-02 5.6598912032642314e-02 5.6564915557442641e-02 5.6522952638791799e-02 5.6470456946873852e-02 5.6405776261930655e-02 5.6326951889738505e-02 5.6231556057427391e-02 5.6116783801255482e-02 5.5979495695629246e-02 5.5816067702951937e-02 5.5622175247313076e-02 5.5392756998722294e-02 5.5121999916502060e-02 5.4803279675171547e-02 5.4429108883026045e-02 5.3990988557036247e-02 5.3477956642128385e-02 5.2870996808129879e-02 5.2147758361835377e-02 5.1300643724960411e-02 5.0326133557057132e-02 4.9215207563553388e-02 4.7957361448406004e-02 4.6543406837298559e-02 4.4966741507739383e-02 4.3224451377423971e-02 4.1318445455984211e-02 3.9256543565649150e-02 3.7053377193343374e-02 3.4730918785354753e-02 3.2318469742436420e-02 2.9851943056383105e-02 2.7372369357337650e-02 2.4923652139868139e-02 2.2377101306240963e-02 1.9967460652308901e-02 1.7737190209820421e-02 1.5717427441078881e-02 1.3926186589216110e-02 1.2368204200577123e-02 1.1036322070744960e-02 9.9140137143549946e-03 8.9785110036071578e-03 8.2039153809752470e-03 7.5639339479490995e-03 7.0340321142978376e-03 6.5927494245583479e-03 6.2219169039435538e-03 5.9069234190583415e-03 5.6365071238309332e-03 5.4020569840531624e-03 5.1971691985108794e-03 5.0170249474918403e-03 4.8581261321739341e-03 4.7176744905645333e-03 4.5936315108508546e-03 4.4841927133990869e-03 4.3880828143012182e-03 4.3040272469728365e-03 4.2309483664188883e-03 4.1679866452749448e-03 4.1142266068453963e-03 4.0687378360608900e-03 4.0308175417242574e-03 3.9995919204862144e-03 3.9743542116643304e-03 3.9543061584770712e-03 3.9387143502737582e-03 3.9265978684179153e-03 3.9170166873597348e-03 3.9092181627932033e-03 3.9025136236825503e-03 3.8962682062152749e-03 3.8918753834927579e-03 3.8874482008152663e-03 3.8829344917648725e-03 3.8782081361897940e-03 3.8733327776669453e-03 3.8681732771643422e-03 3.8628768420958465e-03 3.8570092479663534e-03 3.8507295262725050e-03 3.8439220962339466e-03 3.8364967012604586e-03 3.8283436670988142e-03 3.8193394435089957e-03 3.8093117955341738e-03 3.7982563494135912e-03 3.7857904967899501e-03 3.7718139427316087e-03 3.7561238871555809e-03 3.7385020909639325e-03 3.7187234972070938e-03 3.6965623729540817e-03 3.6717741495000665e-03 3.6443689161599203e-03 3.6139004290573007e-03 3.5804592582315111e-03 3.5441228081284767e-03 3.5051761239392161e-03 3.4641041593869762e-03 3.4218299315793284e-03 3.3797315904489072e-03 3.3400370649994326e-03 3.3056046881102868e-03 3.2808512745808476e-03 3.2719519417307315e-03 3.2878658581558559e-03 3.3416453520129581e-03 3.4530688052315833e-03 3.6534491029681592e-03 3.9955081187342057e-03 1.6509388139195101e-04 +3.9180546302464741e+01 5.4350902973890863e-02 5.3989302863877542e-02 5.3977425821336356e-02 5.3959372349245228e-02 5.3935519359978708e-02 5.3908362007735043e-02 5.3879790793701095e-02 5.3847365781936232e-02 5.3807344119502117e-02 5.3757279771069783e-02 5.3695596608526977e-02 5.3620426863873139e-02 5.3529455811363015e-02 5.3420008987978634e-02 5.3289093067695421e-02 5.3133252798437808e-02 5.2948365128076345e-02 5.2729604704080821e-02 5.2471429769490062e-02 5.2167525499319765e-02 5.1810754828759839e-02 5.1393017095108011e-02 5.0903864651500881e-02 5.0325172799976871e-02 4.9635640039260215e-02 4.8828034199627994e-02 4.7899015555691496e-02 4.6840003710603130e-02 4.5641008368989773e-02 4.4293299575159845e-02 4.2790618984877994e-02 4.1130230125566596e-02 3.9313999229256769e-02 3.7349429933678631e-02 3.5250518562532210e-02 3.3038253937928717e-02 3.0740600193002045e-02 2.8391806852418287e-02 2.6030979249645654e-02 2.3699935057093058e-02 2.1276211394275917e-02 1.8983248621336334e-02 1.6861394107696683e-02 1.4940193360328815e-02 1.3236688727181064e-02 1.1755285744146426e-02 1.0489080889704025e-02 9.4222739121642158e-03 8.5331468572043753e-03 7.7970244203167758e-03 7.1888743716561811e-03 6.6853511690668325e-03 6.2660431040163734e-03 5.9136752737623741e-03 5.6143595523340693e-03 5.3573939796684724e-03 5.1345972348145544e-03 4.9398860641640258e-03 4.7686833557652169e-03 4.6176667756734867e-03 4.4841786336457974e-03 4.3662828821257656e-03 4.2622655408226665e-03 4.1709153097619972e-03 4.0910213571561781e-03 4.0215598531049262e-03 3.9617141531115259e-03 3.9106143571067979e-03 3.8673762862853943e-03 3.8313320606778731e-03 3.8016512256940135e-03 3.7776620413235091e-03 3.7586057870586933e-03 3.7437853478479288e-03 3.7322683347885441e-03 3.7231612312698006e-03 3.7157486075510369e-03 3.7093758517831848e-03 3.7034395128751935e-03 3.6992640913437822e-03 3.6950560118137791e-03 3.6907656887507712e-03 3.6862732433477047e-03 3.6816391692495757e-03 3.6767350179749249e-03 3.6717006990834751e-03 3.6661234954722655e-03 3.6601545606246002e-03 3.6536840339065442e-03 3.6466261255666062e-03 3.6388765891840484e-03 3.6303179890799925e-03 3.6207866167700764e-03 3.6102783026965269e-03 3.5984293911321109e-03 3.5851445434640743e-03 3.5702309963189802e-03 3.5534813114041176e-03 3.5346815699957824e-03 3.5136172108682254e-03 3.4900557715989680e-03 3.4640068304501951e-03 3.4350462449874363e-03 3.4032600958934303e-03 3.3687219569066909e-03 3.3317027662314934e-03 3.2926634769963646e-03 3.2524814256606718e-03 3.2124665588619660e-03 3.1747365331595218e-03 3.1420082358411205e-03 3.1184798842057832e-03 3.1100209871917769e-03 3.1251473142349276e-03 3.1762652265230106e-03 3.2821742625112672e-03 3.4726376162382056e-03 3.7977679078050604e-03 1.5668297712888537e-04 +3.9237175216522033e+01 5.1747522035186490e-02 5.1395108670885446e-02 5.1383796380276250e-02 5.1366599528152472e-02 5.1343871723976101e-02 5.1317985350594293e-02 5.1290739951078371e-02 5.1259814227875178e-02 5.1221644565238131e-02 5.1173899634076883e-02 5.1115075911240045e-02 5.1043392360854360e-02 5.0956642070261321e-02 5.0852275041160383e-02 5.0727437287039684e-02 5.0578834526079655e-02 5.0402535893696136e-02 5.0193941076172838e-02 4.9947767013955063e-02 4.9657994005499730e-02 4.9317819015937750e-02 4.8919521142855464e-02 4.8453143145979059e-02 4.7901410392211768e-02 4.7244021604114554e-02 4.6474092556040639e-02 4.5588454075013371e-02 4.4578944350981559e-02 4.3436062105647773e-02 4.2151513113024820e-02 4.0719365228799993e-02 3.9137049331337312e-02 3.7406388595943363e-02 3.5534582737670933e-02 3.3535019998111724e-02 3.1427749070783773e-02 2.9239457250364954e-02 2.7002806984304475e-02 2.4755067950311651e-02 2.2536070382640622e-02 2.0229278543281611e-02 1.8047370730767519e-02 1.6028686074250894e-02 1.4201258889666109e-02 1.2581211363494367e-02 1.1172639055732410e-02 9.9688855184960380e-03 8.9548455443313243e-03 8.1098034782637538e-03 7.4102499668414869e-03 6.8323534017747743e-03 6.3538999870681231e-03 5.9554757652629658e-03 5.6206561063211740e-03 5.3362402617447655e-03 5.0920584289601487e-03 4.8803376333438524e-03 4.6952991782087837e-03 4.5325955748957460e-03 4.3890714506169479e-03 4.2622026466624411e-03 4.1501504447662776e-03 4.0512868385358617e-03 3.9644613110673072e-03 3.8885235876279793e-03 3.8225009738994450e-03 3.7656175751372757e-03 3.7170468056635375e-03 3.6759484322796635e-03 3.6416877573571108e-03 3.6134755312321855e-03 3.5906733047574874e-03 3.5725599417560836e-03 3.5584728323315093e-03 3.5475257241044493e-03 3.5388693157113521e-03 3.5318235578861083e-03 3.5257662189879710e-03 3.5201237113338521e-03 3.5161549659761368e-03 3.5121551805447314e-03 3.5080772230926711e-03 3.5038071482824317e-03 3.4994024552301643e-03 3.4947410558143085e-03 3.4899559224173871e-03 3.4846547833947039e-03 3.4789813032452305e-03 3.4728310592917070e-03 3.4661225082589921e-03 3.4587565637843164e-03 3.4506216031038755e-03 3.4415620234312752e-03 3.4315738499827502e-03 3.4203114437623867e-03 3.4076841783580902e-03 3.3935088319559975e-03 3.3775882342222830e-03 3.3597190551823211e-03 3.3396973541641919e-03 3.3173021776594942e-03 3.2925426187198686e-03 3.2650155451208205e-03 3.2348027700469821e-03 3.2019742255028280e-03 3.1667874386484035e-03 3.1296805460445461e-03 3.0914874570801857e-03 3.0534532796788433e-03 3.0175908386479737e-03 2.9864825528798226e-03 2.9641188266729510e-03 2.9560786371780616e-03 2.9704562292810028e-03 3.0190438649032201e-03 3.1197105286444793e-03 3.3007461747865895e-03 3.6097828941414681e-03 1.4869964449494119e-04 +3.9293804130579325e+01 4.9268495411629115e-02 4.8925031706612353e-02 4.8914257755971122e-02 4.8897877043460075e-02 4.8876221568824582e-02 4.8851546976032306e-02 4.8825566224194185e-02 4.8796070897279574e-02 4.8759668057563384e-02 4.8714135736587984e-02 4.8658039690122411e-02 4.8589681613328925e-02 4.8506957413109834e-02 4.8407435797229337e-02 4.8288395669849916e-02 4.8146696263631938e-02 4.7978589994858621e-02 4.7779691154099142e-02 4.7544963372902094e-02 4.7268668360015628e-02 4.6944321567043396e-02 4.6564564150788280e-02 4.6119906389543087e-02 4.5593884073132529e-02 4.4967149451261769e-02 4.4233149606957255e-02 4.3388877309324086e-02 4.2426569049334693e-02 4.1337188788134346e-02 4.0112856454235096e-02 3.8747949322640605e-02 3.7240055934510852e-02 3.5590956252088878e-02 3.3807557882792029e-02 3.1902666937785110e-02 2.9895433581224127e-02 2.7811325998046026e-02 2.5681492473918120e-02 2.3541452533536324e-02 2.1429142752941371e-02 1.9233668856675244e-02 1.7157462677062117e-02 1.5236954400018833e-02 1.3498743849838799e-02 1.1958082065329563e-02 1.0618774403725859e-02 9.4744040104090196e-03 8.5105308326903235e-03 7.7073957933357961e-03 7.0426008473210610e-03 6.4934577999787311e-03 6.0388300439465515e-03 5.6602528431946514e-03 5.3421101762982275e-03 5.0718547902997603e-03 4.8398226792162307e-03 4.6386289061418505e-03 4.4627841354031852e-03 4.3081590192545838e-03 4.1717567817993774e-03 4.0511801070755955e-03 3.9446827277008940e-03 3.8507183112961429e-03 3.7681940827884166e-03 3.6960173047096748e-03 3.6332638718149101e-03 3.5791966117405850e-03 3.5330301029162115e-03 3.4939658802077517e-03 3.4614007847655693e-03 3.4345847337076420e-03 3.4129109240846594e-03 3.3956939481522602e-03 3.3823039987426577e-03 3.3718986844004633e-03 3.3636707380445240e-03 3.3569737468893512e-03 3.3512162629821579e-03 3.3458530888966884e-03 3.3420808220030167e-03 3.3382790530483587e-03 3.3344029826608500e-03 3.3303443062205822e-03 3.3261576760831510e-03 3.3217270505285818e-03 3.3171788076797348e-03 3.3121401116620259e-03 3.3067475078854889e-03 3.3009017433097507e-03 3.2945253116056718e-03 3.2875240318663364e-03 3.2797918074141557e-03 3.2711807410906249e-03 3.2616870438896403e-03 3.2509822037068807e-03 3.2389800741848183e-03 3.2255065042741072e-03 3.2103740849543016e-03 3.1933895525277688e-03 3.1743590628358206e-03 3.1530726032907219e-03 3.1295388062466479e-03 3.1033745122034228e-03 3.0746574777367683e-03 3.0434541728206052e-03 3.0100093752855358e-03 2.9747395309434894e-03 2.9384372648899580e-03 2.9022860455061228e-03 2.8681990390020313e-03 2.8386308300652053e-03 2.8173742642520162e-03 2.8097321222643194e-03 2.8233979235454620e-03 2.8695801316372367e-03 2.9652630926922325e-03 3.1373362137784456e-03 3.4310734516253979e-03 1.4112219786558189e-04 +3.9350433044636617e+01 4.6907905894143162e-02 4.6573161450616789e-02 4.6562900159966648e-02 4.6547296906388896e-02 4.6526663497883286e-02 4.6503144242004794e-02 4.6478369757425912e-02 4.6450239073332518e-02 4.6415521773235678e-02 4.6372100142030970e-02 4.6318606040650821e-02 4.6253420078941204e-02 4.6174536218555343e-02 4.6079636380236488e-02 4.5966126206184788e-02 4.5831011331043975e-02 4.5670718955544892e-02 4.5481068020668758e-02 4.5257257396648959e-02 4.4993817122549157e-02 4.4684566311597868e-02 4.4322491298991885e-02 4.3898548054946140e-02 4.3397044987683285e-02 4.2799543343925932e-02 4.2099805670004410e-02 4.1294978496766305e-02 4.0377677306634940e-02 3.9339308670575543e-02 3.8172386156156694e-02 3.6871580529801926e-02 3.5434628846719135e-02 3.3863267812054065e-02 3.2164124308257089e-02 3.0349447184129928e-02 2.8437527858782809e-02 2.6452670554775560e-02 2.4424578993204223e-02 2.2387104099723443e-02 2.0376378181540991e-02 1.8286876453485278e-02 1.6311275318103252e-02 1.4484190439900863e-02 1.2830859988682594e-02 1.1365710291111816e-02 1.0092275085840636e-02 9.0043697658598043e-03 8.0881907916599220e-03 7.3248919995410923e-03 6.6931345474888666e-03 6.1713191525486497e-03 5.7393344523284078e-03 5.3796187502309079e-03 5.0773250010330501e-03 4.8205272281250863e-03 4.6000421616097494e-03 4.4088535998541749e-03 4.2417471277092830e-03 4.0948006281562779e-03 3.9651679755473507e-03 3.8505723418493054e-03 3.7493552758806992e-03 3.6600480337790325e-03 3.5816126927638334e-03 3.5130111829484792e-03 3.4533655680834634e-03 3.4019754713531568e-03 3.3580945914207837e-03 3.3209641612169461e-03 3.2900109982624179e-03 3.2645222487810059e-03 3.2439211923433291e-03 3.2275563850701038e-03 3.2148292038010010e-03 3.2049389542584601e-03 3.1971183299051085e-03 3.1907528960823843e-03 3.1852804704714079e-03 3.1801828451708414e-03 3.1765973604988432e-03 3.1729838358053619e-03 3.1692996892265820e-03 3.1654419784999176e-03 3.1614626497190627e-03 3.1572514090561139e-03 3.1529283663973597e-03 3.1481391616493635e-03 3.1430135728117829e-03 3.1374572613647725e-03 3.1313965586962571e-03 3.1247419472625639e-03 3.1173925837678267e-03 3.1092078962804094e-03 3.1001842729795285e-03 3.0900094826259513e-03 3.0786016381693653e-03 3.0657952116699759e-03 3.0514120736986521e-03 3.0352685300497890e-03 3.0171803348116905e-03 2.9969478762577263e-03 2.9745793493386025e-03 2.9497105808135122e-03 2.9224154711984915e-03 2.8927571992660504e-03 2.8609684227200575e-03 2.8274449670599978e-03 2.7929402105096972e-03 2.7585790237456094e-03 2.7261798331220926e-03 2.6980756971255520e-03 2.6778716525378745e-03 2.6706079140162695e-03 2.6835970518558523e-03 2.7274925420396959e-03 2.8184377497813512e-03 2.9819906527987117e-03 3.2611834500662277e-03 1.3393004877266127e-04 +3.9407061958693909e+01 4.4660116945877099e-02 4.4333866742592959e-02 4.4324093373331840e-02 4.4309231125562877e-02 4.4289571956786240e-02 4.4267154215570044e-02 4.4243530291768945e-02 4.4216701499495414e-02 4.4183592171672607e-02 4.4142183974144218e-02 4.4091171844818922e-02 4.4029011666790484e-02 4.3953790910850860e-02 4.3863299470506135e-02 4.3755063856388450e-02 4.3626229320170830e-02 4.3473389741877103e-02 4.3292559218057074e-02 4.3079160933348452e-02 4.2827980781364898e-02 4.2533127398093042e-02 4.2187916198333321e-02 4.1783728030363655e-02 4.1305607868940941e-02 4.0735983494428599e-02 4.0068917823971248e-02 3.9301703378381320e-02 3.8427316251662708e-02 3.7437584088076181e-02 3.6325394586745913e-02 3.5085696887437338e-02 3.3716367921212138e-02 3.2219101193952306e-02 3.0600253827789407e-02 2.8871541237592196e-02 2.7050434144645117e-02 2.5160125489268617e-02 2.3228940856289609e-02 2.1289140358092731e-02 1.9375137235776930e-02 1.7386517275372257e-02 1.5506669089468968e-02 1.3768483605373895e-02 1.2195906506281775e-02 1.0802583397798918e-02 9.5917938640025843e-03 8.5575783394102514e-03 7.6867423539810995e-03 6.9613109596679702e-03 6.3609548326071510e-03 5.8651116788152168e-03 5.4546459266303299e-03 5.1128549716684991e-03 4.8256230456463914e-03 4.5816148105842624e-03 4.3721039087555617e-03 4.1904245278453394e-03 4.0316234507999154e-03 3.8919754248707356e-03 3.7687774248790938e-03 3.6598670732577278e-03 3.5636693319336531e-03 3.4787891638061821e-03 3.4042407529943858e-03 3.3390379701897302e-03 3.2823467482130451e-03 3.2335016745568255e-03 3.1917936254029161e-03 3.1565015639937071e-03 3.1270807989686256e-03 3.1028538635192596e-03 3.0832726330699118e-03 3.0677179498858316e-03 3.0556208357063967e-03 3.0462202360665640e-03 3.0387868331773942e-03 3.0327365936514694e-03 3.0275351573396366e-03 3.0226899740142476e-03 3.0192820522188424e-03 3.0158474802138872e-03 3.0123457842189416e-03 3.0086791196720333e-03 3.0048968599924093e-03 3.0008941754192738e-03 2.9967852175627114e-03 2.9922331893687394e-03 2.9873614358134899e-03 2.9820802903031151e-03 2.9763197325235915e-03 2.9699946781183433e-03 2.9630092778606875e-03 2.9552299233741803e-03 2.9466531718271688e-03 2.9369822684642117e-03 2.9261393756353287e-03 2.9139671628774472e-03 2.9002963223192018e-03 2.8849522569052550e-03 2.8677598451982960e-03 2.8485293628476081e-03 2.8272685895190876e-03 2.8036314003420551e-03 2.7776880304096032e-03 2.7494985297506973e-03 2.7192840341722711e-03 2.6874207666713174e-03 2.6546247957899322e-03 2.6219652867534560e-03 2.5911706028385181e-03 2.5644582741083037e-03 2.5452547989892149e-03 2.5383507860803349e-03 2.5506966601302099e-03 2.5924183033458567e-03 2.6788596102172730e-03 2.8343128474613371e-03 3.0996791086629707e-03 1.2710365054024417e-04 +3.9463690872751201e+01 4.2519757957664918e-02 4.2201782945227771e-02 4.2192475333239284e-02 4.2178318793846509e-02 4.2159588007694801e-02 4.2138220493360821e-02 4.2115693987969959e-02 4.2090107206186417e-02 4.2058531829326957e-02 4.2019044261781879e-02 4.1970399627634540e-02 4.1911125609322773e-02 4.1839398850049780e-02 4.1753112217022742e-02 4.1649907489983963e-02 4.1527063065257816e-02 4.1381331770313702e-02 4.1208913800266742e-02 4.1005446234043987e-02 4.0765958920641610e-02 4.0484836534003761e-02 4.0155708216021012e-02 3.9770359845284715e-02 3.9314538583244026e-02 3.8771498251888276e-02 3.8135587764007411e-02 3.7404238247022069e-02 3.6570768912052076e-02 3.5627407980573740e-02 3.4567398734719451e-02 3.3385954338776586e-02 3.2081083444179662e-02 3.0654436507694831e-02 2.9112111451796610e-02 2.7465313088542210e-02 2.5730727826089504e-02 2.3930487644377125e-02 2.2091603394136843e-02 2.0244818564698022e-02 1.8422908541363504e-02 1.6530323191922807e-02 1.4741608690259643e-02 1.3088016598985232e-02 1.1592265796722153e-02 1.0267262841886032e-02 9.1160495724891492e-03 8.1328844021656584e-03 7.3051556363917004e-03 6.6157197240162878e-03 6.0452094839164834e-03 5.5740501462665350e-03 5.1840348469088995e-03 4.8592782537057819e-03 4.5863600154039267e-03 4.3545062991674540e-03 4.1554250113739078e-03 3.9827832923380489e-03 3.8318760831299345e-03 3.6991651456413852e-03 3.5820833824436512e-03 3.4785771305185197e-03 3.3871505819016144e-03 3.3064787180932028e-03 3.2356252217028876e-03 3.1736533126170085e-03 3.1197706070110842e-03 3.0733449162951656e-03 3.0337024476213607e-03 3.0001580240262547e-03 2.9721940333521874e-03 2.9491666444895746e-03 2.9305549152617519e-03 2.9157703789639026e-03 2.9042722388265903e-03 2.8953371239956310e-03 2.8882718306074036e-03 2.8825212271693140e-03 2.8775774031997371e-03 2.8729721997798685e-03 2.8697330750495752e-03 2.8664686212444813e-03 2.8631403686339508e-03 2.8596553187137533e-03 2.8560603992448951e-03 2.8522559746767023e-03 2.8483505330180376e-03 2.8440239724794674e-03 2.8393935228953880e-03 2.8343739589697372e-03 2.8288987285759121e-03 2.8228869616830055e-03 2.8162475565923443e-03 2.8088535246023213e-03 2.8007015840418210e-03 2.7915096918751611e-03 2.7812038602522738e-03 2.7696345515004690e-03 2.7566408437954448e-03 2.7420567881192952e-03 2.7257159370669840e-03 2.7074379654308802e-03 2.6872302585886979e-03 2.6647638483329361e-03 2.6401054855866696e-03 2.6133122460838321e-03 2.5845943125480907e-03 2.5543092732082514e-03 2.5231377288177678e-03 2.4920958891309132e-03 2.4628265010260540e-03 2.4374372689092982e-03 2.4191849672011213e-03 2.4126229208954741e-03 2.4243572877498797e-03 2.4640124023854707e-03 2.5461721567470990e-03 2.6939255919722674e-03 2.9461479051684173e-03 1.2062444570639145e-04 +3.9520319786808493e+01 4.0481714361812006e-02 4.0171801820770590e-02 4.0162937005920461e-02 4.0149452846349951e-02 4.0131606815375129e-02 4.0111240643760412e-02 4.0089760867954682e-02 4.0065358954061568e-02 4.0035246891156187e-02 3.9997591399560203e-02 3.9951205030136598e-02 3.9894683949741931e-02 3.9826289836677485e-02 3.9744013763439438e-02 3.9645607436927910e-02 3.9528476224111875e-02 3.9389524524586994e-02 3.9225129992670471e-02 3.9031133662562376e-02 3.8802797989316379e-02 3.8534770824462335e-02 3.8220980396149552e-02 3.7853598687123118e-02 3.7419042260556964e-02 3.6901352368701713e-02 3.6295150228157894e-02 3.5597998559037877e-02 3.4803543037764950e-02 3.3904392957873189e-02 3.2894129548037276e-02 3.1768216378683434e-02 3.0524786122888725e-02 2.9165446421933618e-02 2.7696046168793505e-02 2.6127301446973502e-02 2.4475149145356905e-02 2.2760708351268821e-02 2.1009735693927865e-02 1.9251528798701418e-02 1.7517302598565414e-02 1.5716136389606571e-02 1.4014158025182456e-02 1.2441060879262118e-02 1.1018399396315022e-02 9.7583805648139947e-03 8.6638238909097238e-03 7.7291988519553653e-03 6.9424513383748729e-03 6.2872311730694250e-03 5.7450881452776499e-03 5.2973878872151414e-03 4.9268074170069334e-03 4.6182388796997161e-03 4.3589232312307080e-03 4.1386204411764781e-03 3.9494511499832026e-03 3.7853988783453441e-03 3.6419943341394066e-03 3.5158769353468801e-03 3.4046086979221367e-03 3.3062392240327770e-03 3.2193479619221418e-03 3.1426764075066075e-03 3.0753352636486227e-03 3.0164346369351788e-03 2.9652217497475090e-03 2.9210959833828503e-03 2.8834171208389392e-03 2.8515340668648598e-03 2.8249549463363025e-03 2.8030678989478886e-03 2.7853778211102739e-03 2.7713254205757559e-03 2.7603966906491542e-03 2.7519040841038024e-03 2.7451887283797081e-03 2.7397229682097558e-03 2.7350240377400593e-03 2.7306469653022411e-03 2.7275683031244623e-03 2.7244655677095739e-03 2.7213021944664175e-03 2.7179897916800090e-03 2.7145729622161030e-03 2.7109570081718065e-03 2.7072450340991697e-03 2.7031328084184026e-03 2.6987317480777987e-03 2.6939608497754063e-03 2.6887568583252070e-03 2.6830429099357830e-03 2.6767324160208595e-03 2.6697046805941840e-03 2.6619565756902516e-03 2.6532200428858064e-03 2.6434247543353651e-03 2.6324285803723587e-03 2.6200785711541319e-03 2.6062169986860073e-03 2.5906856612933318e-03 2.5733131687264411e-03 2.5541065320133145e-03 2.5327530918037881e-03 2.5093162871705145e-03 2.4838503664109017e-03 2.4565550999828029e-03 2.4277703614678384e-03 2.3981430351092750e-03 2.3686389898471289e-03 2.3408195840486407e-03 2.3166881186551941e-03 2.2993400247280976e-03 2.2931030598141687e-03 2.3042561135579115e-03 2.3419467376233991e-03 2.4200363476536949e-03 2.5604701701552272e-03 2.8001975380809959e-03 1.1447481609113690e-04 +3.9576948700865785e+01 3.8541112038423871e-02 3.8239054852799992e-02 3.8230612320590558e-02 3.8217768755395974e-02 3.8200765757757001e-02 3.8181354238937308e-02 3.8160872842922619e-02 3.8137601266101502e-02 3.8108885110534195e-02 3.8072977197187600e-02 3.8028744869675120e-02 3.7974849615883273e-02 3.7909634202716661e-02 3.7831183358814399e-02 3.7737353622637609e-02 3.7625671442300050e-02 3.7493185754039732e-02 3.7336443430948128e-02 3.7151479982173809e-02 3.6933779644517425e-02 3.6678241181967532e-02 3.6379077947418549e-02 3.6028829980475935e-02 3.5614551982535270e-02 3.5121035818525999e-02 3.4543161968246271e-02 3.3878618081548934e-02 3.3121360450964157e-02 3.2264360880012645e-02 3.1301521775241169e-02 3.0228544188569236e-02 2.9043677547690026e-02 2.7748486987477353e-02 2.6348582164069906e-02 2.4854211389114235e-02 2.3280595303455286e-02 2.1647886015308593e-02 1.9980643685585182e-02 1.8306787561004730e-02 1.6656045895782255e-02 1.4941904031050399e-02 1.3322475390898985e-02 1.1825972345091477e-02 1.0472844128223106e-02 9.2746355539319869e-03 8.2339582741507260e-03 7.3454860641455630e-03 6.5976982676572574e-03 5.9750017748712745e-03 5.4598202747901505e-03 5.0344149120481576e-03 4.6823039123406306e-03 4.3891190302768456e-03 4.1427300842464491e-03 3.9334045043098211e-03 3.7536551980632041e-03 3.5977663160426691e-03 3.4614925581430110e-03 3.3416421066024601e-03 3.2358996168871893e-03 3.1424127792476532e-03 3.0598325229425133e-03 2.9869635289366974e-03 2.9229611658221533e-03 2.8669800868783577e-03 2.8183051467415739e-03 2.7763657246471984e-03 2.7405535112314835e-03 2.7102498027542377e-03 2.6849871852666304e-03 2.6641841865207966e-03 2.6473702639038749e-03 2.6340138577400228e-03 2.6236264284775065e-03 2.6155544840073446e-03 2.6091717881660749e-03 2.6039768063084246e-03 2.5995106763551492e-03 2.5953504690660249e-03 2.5924243450765735e-03 2.5894753416111746e-03 2.5864687051708585e-03 2.5833204233333155e-03 2.5800728888924671e-03 2.5766360976527359e-03 2.5731080370502320e-03 2.5691995613026015e-03 2.5650165618197941e-03 2.5604820487960360e-03 2.5555359011645465e-03 2.5501050635314952e-03 2.5441072375339329e-03 2.5374277090518390e-03 2.5300634966897041e-03 2.5217598353627518e-03 2.5124498767545599e-03 2.5019985333670667e-03 2.4902604336323950e-03 2.4770856645936756e-03 2.4623238630815127e-03 2.4458121324593112e-03 2.4275571283369113e-03 2.4072616941863334e-03 2.3849861210419663e-03 2.3607819694004988e-03 2.3348391116620603e-03 2.3074805815926796e-03 2.2793212120188872e-03 2.2512790170674275e-03 2.2248379863792447e-03 2.2019021728364699e-03 2.1854136323320402e-03 2.1794856945580809e-03 2.1900861433618640e-03 2.2259092933750598e-03 2.3001297634285727e-03 2.4336054526403641e-03 2.6614549392881093e-03 1.0863803537787410e-04 +3.9633577614923077e+01 3.6693310068797814e-02 3.6398905749035322e-02 3.6390865829562066e-02 3.6378632390945714e-02 3.6362432917782156e-02 3.6343931442821345e-02 3.6324402300101713e-02 3.6302209020819952e-02 3.6274824449735517e-02 3.6240583488730695e-02 3.6198405759964081e-02 3.6147015053700340e-02 3.6084831460702009e-02 3.6010029026393740e-02 3.5920564259730385e-02 3.5814079072056075e-02 3.5687760225487773e-02 3.5538315951492441e-02 3.5361967192071068e-02 3.5154409641870624e-02 3.4910781280521802e-02 3.4625567271671327e-02 3.4291658503174977e-02 3.3896718002427502e-02 3.3426253140360594e-02 3.2875391239830520e-02 3.2241938551100774e-02 3.1520146897753239e-02 3.0703332929286193e-02 2.9785704286607751e-02 2.8763187237384826e-02 2.7634141105301525e-02 2.6400088895476192e-02 2.5066410455319939e-02 2.3642906401184480e-02 2.2144112940087134e-02 2.0589259055712218e-02 1.9001763559048552e-02 1.7408231679764703e-02 1.5836975305747569e-02 1.4205673171447277e-02 1.2664808894827923e-02 1.1241187228865189e-02 9.9542084340164920e-03 8.8147905704951297e-03 7.8253510315640408e-03 6.9807612763141003e-03 6.2700109861968311e-03 5.6782294517733903e-03 5.1886731961645997e-03 4.7844561144149587e-03 4.4498970131035863e-03 4.1713312233623862e-03 3.9372265655736862e-03 3.7383328826126340e-03 3.5675358931455360e-03 3.4194054081927681e-03 3.2899089308171263e-03 3.1760149592192518e-03 3.0755246380240425e-03 2.9866788272087117e-03 2.9081963506202612e-03 2.8389419110690039e-03 2.7781133058749313e-03 2.7249075114408883e-03 2.6786451387749923e-03 2.6387840711371868e-03 2.6047463212251461e-03 2.5759439701517513e-03 2.5519328523360358e-03 2.5321603789366025e-03 2.5161793536755991e-03 2.5034845785973439e-03 2.4936117234460394e-03 2.4859396697562959e-03 2.4798732062342762e-03 2.4749356299181595e-03 2.4706908026696822e-03 2.4667367491838488e-03 2.4639556290595257e-03 2.4611527642096447e-03 2.4582951227863376e-03 2.4553028553791559e-03 2.4522162538773372e-03 2.4489497758660586e-03 2.4455965448663746e-03 2.4418817551249148e-03 2.4379060457125875e-03 2.4335962420740792e-03 2.4288952024613449e-03 2.4237334917602969e-03 2.4180328899354171e-03 2.4116843691660509e-03 2.4046850878383166e-03 2.3967929169742149e-03 2.3879443161989402e-03 2.3780108923300049e-03 2.3668544777640621e-03 2.3543325885633367e-03 2.3403023128923807e-03 2.3246088281164705e-03 2.3072584524028105e-03 2.2879687656997025e-03 2.2667970667577465e-03 2.2437923610264363e-03 2.2191351117477735e-03 2.1931323446490259e-03 2.1663684242695389e-03 2.1397158735661842e-03 2.1145851353641903e-03 2.0927859161523291e-03 2.0771144726544717e-03 2.0714802979788466e-03 2.0815554369707015e-03 2.1156033541852711e-03 2.1861457949678919e-03 2.3130070379226201e-03 2.5295653347199147e-03 1.0309822408200967e-04 +3.9690206528980369e+01 3.4933886039728052e-02 3.4646938669635217e-02 3.4639281725466729e-02 3.4627629714265459e-02 3.4612196039341812e-02 3.4594562128226966e-02 3.4575941224141427e-02 3.4554776580729939e-02 3.4528662215497108e-02 3.4496011276486369e-02 3.4455793265371119e-02 3.4406791393829024e-02 3.4347499485801125e-02 3.4276176763783750e-02 3.4190875070281769e-02 3.4089346421111777e-02 3.3968909003002611e-02 3.3826424908455256e-02 3.3658291887898963e-02 3.3460407247738203e-02 3.3228137028323571e-02 3.2956225508017932e-02 3.2637898013994748e-02 3.2261397471804239e-02 3.1812913283793806e-02 3.1287807786843320e-02 3.0683999819345380e-02 2.9996022378519501e-02 2.9217520150545809e-02 2.8342990852375988e-02 2.7368574327217569e-02 2.6292733322273130e-02 2.5116949150097247e-02 2.3846380925455424e-02 2.2490400801617148e-02 2.1062890971927296e-02 1.9582199182410848e-02 1.8070655496570880e-02 1.6553612508224132e-02 1.5058032751239450e-02 1.3505585920095714e-02 1.2039492095108377e-02 1.0685218188441481e-02 9.4611688831303248e-03 8.3776690365884657e-03 7.4369545482981126e-03 6.6340881002673879e-03 5.9585475708698252e-03 5.3961515510911710e-03 4.9309502450828142e-03 4.5468695638897607e-03 4.2289902186119317e-03 3.9643168301476094e-03 3.7418858676829155e-03 3.5529057702433967e-03 3.3906165726069557e-03 3.2498595194895394e-03 3.1268042851881621e-03 3.0185716570574803e-03 2.9230734259611730e-03 2.8386389490644747e-03 2.7640515377791177e-03 2.6982329114120197e-03 2.6404211707175091e-03 2.5898535023007444e-03 2.5458844908804873e-03 2.5079991039998147e-03 2.4756481693739142e-03 2.4482730257645914e-03 2.4254516030821119e-03 2.4066587655023250e-03 2.3914695083204094e-03 2.3794036919687670e-03 2.3700199995798127e-03 2.3627280875887771e-03 2.3569622373525514e-03 2.3522693520442047e-03 2.3482348956732563e-03 2.3444768119469683e-03 2.3418335322793393e-03 2.3391695865209684e-03 2.3364535794626363e-03 2.3336096190546100e-03 2.3306760000748614e-03 2.3275714213851621e-03 2.3243843833046893e-03 2.3208537110905700e-03 2.3170750512024512e-03 2.3129788558623860e-03 2.3085108154486059e-03 2.3036049362844552e-03 2.2981868751802406e-03 2.2921530096158579e-03 2.2855006312710890e-03 2.2779996224512105e-03 2.2695895875373346e-03 2.2601484969633412e-03 2.2495450311920276e-03 2.2376437682954877e-03 2.2243088796691907e-03 2.2093932177080031e-03 2.1929027802166695e-03 2.1745691550445600e-03 2.1544467967188979e-03 2.1325822818679175e-03 2.1091471293982911e-03 2.0844331478285781e-03 2.0589957386078950e-03 2.0336641808058544e-03 2.0097790041653774e-03 1.9890602291794237e-03 1.9741655163969256e-03 1.9688105922370676e-03 1.9783863727980567e-03 2.0107467574264825e-03 2.0777928712410305e-03 2.1983664352280474e-03 2.4041913506995570e-03 9.7840306787054811e-05 +3.9746835443037661e+01 3.3258628680593316e-02 3.2978946515387568e-02 3.2971654348628442e-02 3.2960556356911412e-02 3.2945852277068949e-02 3.2929045496701059e-02 3.2911290829666304e-02 3.2891107431390169e-02 3.2866204704151643e-02 3.2835070384117787e-02 3.2796721563786331e-02 3.2749998126766586e-02 3.2693464205410361e-02 3.2625460250284795e-02 3.2544129014259793e-02 3.2447327506060927e-02 3.2332499231215839e-02 3.2196652992244307e-02 3.2036355122232699e-02 3.1847695148935956e-02 3.1626256535383604e-02 3.1367030568278900e-02 3.1063561367847454e-02 3.0704644650585620e-02 3.0277119932192315e-02 2.9776573297731906e-02 2.9201030462895725e-02 2.8545291933932369e-02 2.7803314438013663e-02 2.6969871356549286e-02 2.6041305062234670e-02 2.5016175618349904e-02 2.3895923136178068e-02 2.2685494733666690e-02 2.1393852523814927e-02 2.0034253772319672e-02 1.8624204993921010e-02 1.7184997704999892e-02 1.5740790400869158e-02 1.4317260127181708e-02 1.2839874834981941e-02 1.1444939851285005e-02 1.0156650588370867e-02 8.9924668516563038e-03 7.9621520733603977e-03 7.0677726418103123e-03 6.3045761552202127e-03 5.6625074832964035e-03 5.1280429147217109e-03 4.6859890059716795e-03 4.3210448818356640e-03 4.0190163389711769e-03 3.7675446633800196e-03 3.5562070539121257e-03 3.3766478998539613e-03 3.2224439709924503e-03 3.0886944248334452e-03 2.9717610042914499e-03 2.8689091595741939e-03 2.7781557769897950e-03 2.6979142719544737e-03 2.6270292068407666e-03 2.5644764621399713e-03 2.5095324228704128e-03 2.4614724780867782e-03 2.4196834921682404e-03 2.3836761676868795e-03 2.3529287150078977e-03 2.3269102788579339e-03 2.3052197887478577e-03 2.2873582021023082e-03 2.2729216079305802e-03 2.2614536859765404e-03 2.2525349957114682e-03 2.2456044484209779e-03 2.2401243613197012e-03 2.2356640784413433e-03 2.2318295993393822e-03 2.2282578027609480e-03 2.2257455528536473e-03 2.2232136621482932e-03 2.2206322912329051e-03 2.2179293098969878e-03 2.2151411144926982e-03 2.2121904355162929e-03 2.2091613789225499e-03 2.2058057269002994e-03 2.2022143802310425e-03 2.1983212387029203e-03 2.1940746848985349e-03 2.1894119965266204e-03 2.1842625156869421e-03 2.1785277580069224e-03 2.1722051422693026e-03 2.1650759680181624e-03 2.1570828292523459e-03 2.1481097455853890e-03 2.1380319071864001e-03 2.1267206051960234e-03 2.1140467442445996e-03 2.0998704724645855e-03 2.0841974835012719e-03 2.0667726804311634e-03 2.0476478143198577e-03 2.0268671529741259e-03 2.0045937129187690e-03 1.9811048373455462e-03 1.9569283956932370e-03 1.9328525597786374e-03 1.9101514010591326e-03 1.8904596849695680e-03 1.8763033242182399e-03 1.8712138525783589e-03 1.8803149482709517e-03 1.9110711822383358e-03 1.9747937245259708e-03 2.0893902871014988e-03 2.2850121637530397e-03 9.2849971534318887e-05 +3.9803464357094953e+01 3.1663525471766131e-02 3.1390921969484141e-02 3.1383977293727938e-02 3.1373407236877496e-02 3.1359398374732408e-02 3.1343380184898545e-02 3.1326451682148114e-02 3.1307204306741040e-02 3.1283457332918208e-02 3.1253769595799959e-02 3.1217203595009173e-02 3.1172653262569596e-02 3.1118749772887627e-02 3.1053911037296465e-02 3.0976366499931827e-02 3.0884073286767826e-02 3.0774594398292492e-02 3.0645078526376629e-02 3.0492252741238225e-02 3.0312389836269736e-02 3.0101280552643200e-02 2.9854151640964239e-02 2.9564851096099028e-02 2.9222701577558109e-02 2.8815162281349265e-02 2.8338032311306112e-02 2.7789438836001178e-02 2.7164436865638266e-02 2.6457279947463667e-02 2.5663003425874045e-02 2.4778141721205717e-02 2.3801346450476567e-02 2.2734017062929476e-02 2.1580897087174068e-02 2.0350556242349320e-02 1.9055654676161708e-02 1.7712895881320051e-02 1.6342580733741174e-02 1.4967729454567560e-02 1.3612794467018895e-02 1.2206858539475634e-02 1.0879644375455740e-02 9.6541389611332091e-03 8.5469053623610427e-03 7.5671756831763512e-03 6.7168580470235101e-03 5.9913788162965793e-03 5.3811295435276466e-03 4.8732140428659068e-03 4.4531596346663125e-03 4.1064016964628119e-03 3.8194360602310448e-03 3.5805096344264011e-03 3.3797137927625443e-03 3.2091073423808295e-03 3.0625870758909839e-03 2.9354972136758127e-03 2.8243819676944553e-03 2.7266442053413519e-03 2.6404006351297303e-03 2.5641445137277695e-03 2.4967785798294191e-03 2.4373301623367679e-03 2.3851120122274465e-03 2.3394358131954974e-03 2.2997190994376491e-03 2.2654970263168038e-03 2.2362738254661971e-03 2.2115450676801506e-03 2.1909296403777763e-03 2.1739533015788389e-03 2.1602321903027430e-03 2.1493326275791986e-03 2.1408559681734395e-03 2.1342689329973547e-03 2.1290604900407579e-03 2.1248213162582104e-03 2.1211769326326276e-03 2.1177822174221631e-03 2.1153945219909986e-03 2.1129881603385815e-03 2.1105347719970885e-03 2.1079658026929263e-03 2.1053158441803224e-03 2.1025114592759567e-03 2.0996325771222169e-03 2.0964432959815413e-03 2.0930300057128478e-03 2.0893298833077199e-03 2.0852938704907353e-03 2.0808623546988612e-03 2.0759681811926677e-03 2.0705177497539508e-03 2.0645086003618193e-03 2.0577328850442012e-03 2.0501360399018897e-03 2.0416078347829762e-03 2.0320296478543790e-03 2.0212791515765945e-03 2.0092336510697277e-03 1.9957602295706195e-03 1.9808642919600422e-03 1.9643033980102803e-03 1.9461267291390209e-03 1.9263763584348686e-03 1.9052072202111682e-03 1.8828829071930551e-03 1.8599051174163573e-03 1.8370229468533436e-03 1.8154472933061922e-03 1.7967318799136220e-03 1.7832773825877568e-03 1.7784402450014951e-03 1.7870901142624069e-03 1.8163214730892163e-03 1.8768846914094730e-03 1.9857996298515848e-03 2.1717226918064403e-03 8.8113631258066342e-05 +3.9860093271152245e+01 3.0144754387525334e-02 2.9879048418732568e-02 2.9872434946213843e-02 2.9862367624124492e-02 2.9849021265555251e-02 2.9833754846399382e-02 2.9817614283137811e-02 2.9799259778313828e-02 2.9776615234758500e-02 2.9748307257999627e-02 2.9713441671753837e-02 2.9670963952826118e-02 2.9619569202711304e-02 2.9557749199625484e-02 2.9483816054490849e-02 2.9395822359955311e-02 2.9291445056599041e-02 2.9167966220182924e-02 2.9022266175453660e-02 2.8850792440583268e-02 2.8649533360601057e-02 2.8413940141995345e-02 2.8138150429811496e-02 2.7811989180280799e-02 2.7423506252437203e-02 2.6968703550841813e-02 2.6445804544804791e-02 2.5850106371245594e-02 2.5176144914002885e-02 2.4419204454605822e-02 2.3576001514725654e-02 2.2645273829083937e-02 2.1628380766375056e-02 2.0529870356414254e-02 1.9357936826469472e-02 1.8124669794522968e-02 1.6846006223245325e-02 1.5541302064952882e-02 1.4232492502258767e-02 1.2942863341555911e-02 1.1604937550328006e-02 1.0342171474339090e-02 9.1764036398895837e-03 8.1233460779834774e-03 7.1917280688109739e-03 6.3833100239480663e-03 5.6936910727298506e-03 5.1136900024841385e-03 4.6310093473310018e-03 4.2318632629689797e-03 3.9023881732366534e-03 3.6297365795197748e-03 3.4027314757947035e-03 3.2119531538736933e-03 3.0498543653331642e-03 2.9106360395398322e-03 2.7898752476989814e-03 2.6842895493382063e-03 2.5914123450555206e-03 2.5094551560624458e-03 2.4369870741840429e-03 2.3729660936421143e-03 2.3164684144510758e-03 2.2668413310703898e-03 2.2234310090092743e-03 2.1856841224858845e-03 2.1531590611075539e-03 2.1253847838575545e-03 2.1018819759844589e-03 2.0822884926121853e-03 2.0661536635439527e-03 2.0531126855865352e-03 2.0427534010849578e-03 2.0346969323029097e-03 2.0284364357116098e-03 2.0234862132014987e-03 2.0194572212233067e-03 2.0159935379812778e-03 2.0127671517928851e-03 2.0104978545002301e-03 2.0082108173523267e-03 2.0058790857423359e-03 2.0034375046081030e-03 2.0009189503012357e-03 1.9982536284661964e-03 1.9955174982408384e-03 1.9924863647136138e-03 1.9892423299962491e-03 1.9857256862932612e-03 1.9818898079929101e-03 1.9776780385472284e-03 1.9730265532307656e-03 1.9678463944927779e-03 1.9621352178744830e-03 1.9556954909838858e-03 1.9484753517560252e-03 1.9403700360562074e-03 1.9312668041946441e-03 1.9210493945348518e-03 1.9096011963239180e-03 1.8967958850545266e-03 1.8826385914535665e-03 1.8668989059188012e-03 1.8496235674383785e-03 1.8308525628559112e-03 1.8107331437521971e-03 1.7895158320423857e-03 1.7676774479342763e-03 1.7459299429093166e-03 1.7254241639446536e-03 1.7076367971491538e-03 1.6948494719588865e-03 1.6902521961462346e-03 1.6984731419152944e-03 1.7262549962446660e-03 1.7838150478027065e-03 1.8873291899737096e-03 2.0640328247365086e-03 8.3618387163413794e-05 +3.9916722185209537e+01 2.8698675718208000e-02 2.8439690588661110e-02 2.8433392317702654e-02 2.8423804021112279e-02 2.8411088960304341e-02 2.8396539183256391e-02 2.8381150097297612e-02 2.8363647286616271e-02 2.8342054294607403e-02 2.8315062322918590e-02 2.8281818531449694e-02 2.8241317553101150e-02 2.8192315445640652e-02 2.8133374425834638e-02 2.8062885432707806e-02 2.7978992089661894e-02 2.7879479979237530e-02 2.7761758356251477e-02 2.7622853663727846e-02 2.7459379999236259e-02 2.7267514086360821e-02 2.7042921091025369e-02 2.6780014745780734e-02 2.6469098803153825e-02 2.6098786118808583e-02 2.5665271666810797e-02 2.5166870323724201e-02 2.4599109574059416e-02 2.3956793856474229e-02 2.3235444006218325e-02 2.2431949208822358e-02 2.1545128188921854e-02 2.0576300853331744e-02 1.9529827517578896e-02 1.8413543105216375e-02 1.7238992124442899e-02 1.6021379858733521e-02 1.4779160962803552e-02 1.3533236346947140e-02 1.2305780479291404e-02 1.1032590307045290e-02 9.8311569729787624e-03 8.7222275542978549e-03 7.7207064405716936e-03 6.8348470829865688e-03 6.0662720817633384e-03 5.4107474904624515e-03 4.8595007084243349e-03 4.4008054900111226e-03 4.0215304809716164e-03 3.7084796169351299e-03 3.4494303067022047e-03 3.2337535259476186e-03 3.0524944626866553e-03 2.8984803466707413e-03 2.7662011434463722e-03 2.6514551692846558e-03 2.5511246641690233e-03 2.4628670216397057e-03 2.3849838166731204e-03 2.3161161705373590e-03 2.2552745583872603e-03 2.2015816027688723e-03 2.1544174102013287e-03 2.1131609054626508e-03 2.0772864490665455e-03 2.0463745068607839e-03 2.0199775354070647e-03 1.9976400876763451e-03 1.9790180452767684e-03 1.9636831416820419e-03 1.9512886881839163e-03 1.9414429837170677e-03 1.9337859408629337e-03 1.9278358452557572e-03 1.9231310806702656e-03 1.9193018814608618e-03 1.9160099663273569e-03 1.9129435879846701e-03 1.9107868357922341e-03 1.9086132242713872e-03 1.9063971352040600e-03 1.9040766447061348e-03 1.9016829985373448e-03 1.8991498650117382e-03 1.8965494298711471e-03 1.8936686258132231e-03 1.8905854793779357e-03 1.8872432439821605e-03 1.8835976064107531e-03 1.8795947200012887e-03 1.8751739254214636e-03 1.8702506782054015e-03 1.8648227440848867e-03 1.8587023958149364e-03 1.8518403397985012e-03 1.8441370077031014e-03 1.8354852511908392e-03 1.8257745746591762e-03 1.8148941507034628e-03 1.8027239211136589e-03 1.7892687563402056e-03 1.7743096822066338e-03 1.7578911162048369e-03 1.7400510620687807e-03 1.7209294684461332e-03 1.7007644326027646e-03 1.6800091267768177e-03 1.6593401941660973e-03 1.6398513998775251e-03 1.6229462009653092e-03 1.6107930657266901e-03 1.6064237938634947e-03 1.6142370203091089e-03 1.6406410275708583e-03 1.6953463763276673e-03 1.7937267148281475e-03 1.9616666923864983e-03 7.9351993949383241e-05 +3.9973351099266829e+01 2.7321822124355181e-02 2.7069385407177196e-02 2.7063387571465213e-02 2.7054255323844898e-02 2.7042142003927631e-02 2.7028275393162632e-02 2.7013603000370763e-02 2.6996912593280211e-02 2.6976322607033806e-02 2.6950585812667578e-02 2.6918888808674695e-02 2.6880273105206114e-02 2.6833552883218627e-02 2.6777357527431080e-02 2.6710153143620827e-02 2.6630170154823826e-02 2.6535297732352629e-02 2.6423066392230649e-02 2.6290641889633509e-02 2.6134797133726732e-02 2.5951888429456699e-02 2.5737784893574037e-02 2.5487163414889484e-02 2.5190784134784604e-02 2.4837796527242238e-02 2.4424579368619373e-02 2.3949534295236535e-02 2.3408407928981786e-02 2.2796260149882799e-02 2.2108836574673961e-02 2.1343190097927258e-02 2.0498215598055290e-02 1.9575194170849533e-02 1.8578305906863574e-02 1.7515041929703424e-02 1.6396425939719069e-02 1.5236964824033795e-02 1.4054253569639283e-02 1.2868207224562198e-02 1.1699941597496984e-02 1.0488369392694303e-02 9.3453033114473012e-03 8.2904531817495908e-03 7.3379569497219587e-03 6.4956178019714410e-03 5.7649298137730171e-03 5.1418202740667338e-03 4.6179073628696285e-03 4.1820098024646464e-03 3.8216198934937101e-03 3.5241771419564530e-03 3.2780536294074458e-03 3.0731415733454811e-03 2.9009282109277550e-03 2.7545967416482903e-03 2.6289118134560268e-03 2.5198819582511367e-03 2.4245458612069809e-03 2.3406786951276131e-03 2.2666675679262603e-03 2.2012220149925368e-03 2.1434023567145216e-03 2.0923753118947024e-03 2.0475521542235426e-03 2.0083429309893769e-03 1.9742483075912004e-03 1.9448697256340779e-03 1.9197819704684853e-03 1.8985522777600304e-03 1.8808536609353542e-03 1.8662791467165751e-03 1.8544992641331690e-03 1.8451417564714875e-03 1.8378643976092225e-03 1.8322093602917786e-03 1.8277379198240490e-03 1.8240986361929543e-03 1.8209699969849661e-03 1.8180557153244568e-03 1.8160059435954172e-03 1.8139401494864668e-03 1.8118339851235748e-03 1.8096285980408644e-03 1.8073536840322679e-03 1.8049462028153081e-03 1.8024747536328090e-03 1.7997368461391871e-03 1.7968066330105279e-03 1.7936301824636241e-03 1.7901653793491567e-03 1.7863610479538349e-03 1.7821595378312819e-03 1.7774804993322664e-03 1.7723218032515411e-03 1.7665050422390703e-03 1.7599833643621376e-03 1.7526621401838657e-03 1.7444395362642463e-03 1.7352105379305886e-03 1.7248698151791813e-03 1.7133032661979454e-03 1.7005155143377615e-03 1.6862984549999376e-03 1.6706942991472741e-03 1.6537391654550804e-03 1.6355660607249650e-03 1.6164012718978284e-03 1.5966754924919859e-03 1.5770318031544626e-03 1.5585097097723130e-03 1.5424430606972548e-03 1.5308927584196021e-03 1.5267402169827828e-03 1.5341658834371963e-03 1.5592601701474727e-03 1.6112519645180424e-03 1.7047523359179659e-03 1.8643619682194102e-03 7.5302826784416367e-05 diff --git a/external/distortions/PIXIE_branching_ratios.dat b/external/distortions/PIXIE_branching_ratios.dat new file mode 100644 index 00000000..aeef582f --- /dev/null +++ b/external/distortions/PIXIE_branching_ratios.dat @@ -0,0 +1,403 @@ +# In the file there is: z, J_T, J_y, J_mu, E_i (i=1-6) +# The first line contains the number of lines and the number of columns. +400 6 +1.020000e+03 5.048791e-05 2.501214e-01 -2.348973e-04 2.827819e-05 -7.498066e-05 1.292514e-04 -1.383452e-04 1.045313e-03 -1.022135e-03 +1.041956e+03 6.670846e-05 2.501184e-01 -3.131794e-04 3.698676e-05 -9.757400e-05 1.765287e-04 -2.154339e-04 1.171295e-03 -1.190419e-03 +1.064384e+03 8.629015e-05 2.501149e-01 -4.083635e-04 4.774595e-05 -1.255909e-04 2.349660e-04 -3.112507e-04 1.325712e-03 -1.402256e-03 +1.087295e+03 1.090573e-04 2.501107e-01 -5.193894e-04 6.048532e-05 -1.586758e-04 3.041175e-04 -4.246279e-04 1.507588e-03 -1.655181e-03 +1.110699e+03 1.348343e-04 2.501060e-01 -6.451965e-04 7.513448e-05 -1.964721e-04 3.835400e-04 -5.544210e-04 1.715808e-03 -1.946309e-03 +1.134607e+03 1.634454e-04 2.501006e-01 -7.847244e-04 9.162287e-05 -2.386240e-04 4.727904e-04 -6.994638e-04 1.949343e-03 -2.272947e-03 +1.159029e+03 1.947149e-04 2.500946e-01 -9.369120e-04 1.098801e-04 -2.847751e-04 5.714215e-04 -8.586073e-04 2.207179e-03 -2.632293e-03 +1.183978e+03 2.284335e-04 2.500881e-01 -1.100532e-03 1.298188e-04 -3.345175e-04 6.788919e-04 -1.030513e-03 2.487947e-03 -3.021386e-03 +1.209463e+03 2.640635e-04 2.500811e-01 -1.272737e-03 1.511865e-04 -3.869336e-04 7.936889e-04 -1.212169e-03 2.787614e-03 -3.432937e-03 +1.235497e+03 3.008817e-04 2.500736e-01 -1.449760e-03 1.736381e-04 -4.408191e-04 9.137501e-04 -1.399594e-03 3.100687e-03 -3.857989e-03 +1.262091e+03 3.381628e-04 2.500659e-01 -1.627825e-03 1.968269e-04 -4.949656e-04 1.037008e-03 -1.588809e-03 3.421574e-03 -4.287133e-03 +1.289258e+03 3.750533e-04 2.500580e-01 -1.802534e-03 2.203380e-04 -5.479838e-04 1.161021e-03 -1.775182e-03 3.743777e-03 -4.710117e-03 +1.317009e+03 4.103295e-04 2.500502e-01 -1.967689e-03 2.435583e-04 -5.979581e-04 1.282264e-03 -1.952269e-03 4.057929e-03 -5.112677e-03 +1.345358e+03 4.427015e-04 2.500426e-01 -2.116769e-03 2.658392e-04 -6.428789e-04 1.397016e-03 -2.113287e-03 4.354219e-03 -5.479827e-03 +1.374317e+03 4.708916e-04 2.500356e-01 -2.243320e-03 2.865376e-04 -6.807566e-04 1.501591e-03 -2.251528e-03 4.622857e-03 -5.797029e-03 +1.403899e+03 4.939128e-04 2.500293e-01 -2.342396e-03 3.051410e-04 -7.100689e-04 1.593081e-03 -2.361816e-03 4.856137e-03 -6.052631e-03 +1.434118e+03 5.110670e-04 2.500238e-01 -2.410553e-03 3.212660e-04 -7.297577e-04 1.669349e-03 -2.440513e-03 5.048367e-03 -6.238462e-03 +1.464988e+03 5.216681e-04 2.500192e-01 -2.444409e-03 3.345348e-04 -7.387848e-04 1.728293e-03 -2.484041e-03 5.193973e-03 -6.346444e-03 +1.496522e+03 5.252527e-04 2.500157e-01 -2.441691e-03 3.446872e-04 -7.364510e-04 1.768468e-03 -2.489979e-03 5.289114e-03 -6.370986e-03 +1.528735e+03 5.225749e-04 2.500131e-01 -2.406195e-03 3.521061e-04 -7.239169e-04 1.792045e-03 -2.462235e-03 5.339505e-03 -6.320629e-03 +1.561641e+03 5.148047e-04 2.500112e-01 -2.343788e-03 3.573941e-04 -7.029777e-04 1.802427e-03 -2.406855e-03 5.354132e-03 -6.208986e-03 +1.595255e+03 5.031110e-04 2.500097e-01 -2.260333e-03 3.611537e-04 -6.754268e-04 1.803014e-03 -2.329912e-03 5.341962e-03 -6.049149e-03 +1.629593e+03 4.885805e-04 2.500086e-01 -2.161245e-03 3.639574e-04 -6.429201e-04 1.797017e-03 -2.237009e-03 5.311471e-03 -5.853977e-03 +1.664670e+03 4.721553e-04 2.500075e-01 -2.051162e-03 3.663264e-04 -6.068721e-04 1.787308e-03 -2.133000e-03 5.270276e-03 -5.634263e-03 +1.700503e+03 4.547629e-04 2.500064e-01 -1.934640e-03 3.687762e-04 -5.686730e-04 1.776727e-03 -2.022642e-03 5.225863e-03 -5.401337e-03 +1.737106e+03 4.372842e-04 2.500051e-01 -1.815999e-03 3.717992e-04 -5.296399e-04 1.767976e-03 -1.910465e-03 5.185403e-03 -5.165064e-03 +1.774498e+03 4.200818e-04 2.500034e-01 -1.696941e-03 3.756288e-04 -4.902848e-04 1.762281e-03 -1.798277e-03 5.152030e-03 -4.929866e-03 +1.812694e+03 4.031979e-04 2.500014e-01 -1.577545e-03 3.803383e-04 -4.506212e-04 1.759945e-03 -1.686212e-03 5.126425e-03 -4.695873e-03 +1.851712e+03 3.866699e-04 2.499990e-01 -1.457864e-03 3.859986e-04 -4.106549e-04 1.761261e-03 -1.574378e-03 5.109230e-03 -4.463205e-03 +1.891571e+03 3.704895e-04 2.499963e-01 -1.337729e-03 3.926553e-04 -3.703231e-04 1.766380e-03 -1.462644e-03 5.100709e-03 -4.231652e-03 +1.932287e+03 3.545020e-04 2.499932e-01 -1.216247e-03 4.002736e-04 -3.293421e-04 1.775002e-03 -1.350123e-03 5.100071e-03 -3.999365e-03 +1.973879e+03 3.385239e-04 2.499897e-01 -1.092386e-03 4.088023e-04 -2.873841e-04 1.786743e-03 -1.235783e-03 5.106242e-03 -3.764169e-03 +2.016367e+03 3.223746e-04 2.499860e-01 -9.651242e-04 4.181922e-04 -2.441263e-04 1.801222e-03 -1.118601e-03 5.118192e-03 -3.523982e-03 +2.059770e+03 3.059573e-04 2.499818e-01 -8.338624e-04 4.284378e-04 -1.993744e-04 1.818309e-03 -9.979940e-04 5.135542e-03 -3.277609e-03 +2.104107e+03 2.892663e-04 2.499774e-01 -6.984538e-04 4.395812e-04 -1.530737e-04 1.838142e-03 -8.738598e-04 5.158523e-03 -3.024653e-03 +2.149398e+03 2.723004e-04 2.499725e-01 -5.587751e-04 4.516670e-04 -1.051767e-04 1.860874e-03 -7.461143e-04 5.187463e-03 -2.764813e-03 +2.195664e+03 2.550592e-04 2.499673e-01 -4.147036e-04 4.647413e-04 -5.563581e-05 1.886660e-03 -6.146798e-04 5.222679e-03 -2.497771e-03 +2.242926e+03 2.375469e-04 2.499617e-01 -2.661214e-04 4.788592e-04 -4.403098e-06 1.915697e-03 -4.794829e-04 5.264581e-03 -2.223612e-03 +2.291205e+03 2.197694e-04 2.499556e-01 -1.129128e-04 4.940790e-04 4.856922e-05 1.948191e-03 -3.404540e-04 5.313644e-03 -1.942422e-03 +2.340524e+03 2.017323e-04 2.499491e-01 4.503911e-05 5.104594e-04 1.033288e-04 1.984350e-03 -1.975236e-04 5.370331e-03 -1.654275e-03 +2.390904e+03 1.834342e-04 2.499421e-01 2.078962e-04 5.280584e-04 1.599387e-04 2.024372e-03 -5.057432e-05 5.435042e-03 -1.359340e-03 +2.442368e+03 1.648592e-04 2.499346e-01 3.759101e-04 5.469336e-04 2.184904e-04 2.068433e-03 1.005797e-04 5.508173e-03 -1.056977e-03 +2.494940e+03 1.459902e-04 2.499266e-01 5.493420e-04 5.671422e-04 2.790786e-04 2.116709e-03 2.561387e-04 5.590098e-03 -7.467899e-04 +2.548644e+03 1.268090e-04 2.499181e-01 7.284574e-04 5.887417e-04 3.417993e-04 2.169373e-03 4.163064e-04 5.681158e-03 -4.283570e-04 +2.603504e+03 1.072899e-04 2.499090e-01 9.135743e-04 6.117903e-04 4.067655e-04 2.226592e-03 5.813433e-04 5.781706e-03 -1.011953e-04 +2.659545e+03 8.740174e-05 2.498993e-01 1.105047e-03 6.363470e-04 4.741025e-04 2.288530e-03 7.515298e-04 5.891976e-03 2.352105e-04 +2.716792e+03 6.711331e-05 2.498890e-01 1.303229e-03 6.624704e-04 5.439349e-04 2.355348e-03 9.271628e-04 6.012280e-03 5.812672e-04 +2.775271e+03 4.639485e-05 2.498781e-01 1.508473e-03 6.902223e-04 6.163878e-04 2.427220e-03 1.108526e-03 6.142924e-03 9.374775e-04 +2.835009e+03 2.522174e-05 2.498665e-01 1.721128e-03 7.196748e-04 6.915855e-04 2.504359e-03 1.295885e-03 6.284322e-03 1.304307e-03 +2.896033e+03 3.570544e-06 2.498542e-01 1.941539e-03 7.509023e-04 7.696525e-04 2.586989e-03 1.489504e-03 6.436908e-03 1.682220e-03 +2.958370e+03 -1.858233e-05 2.498412e-01 2.170055e-03 7.839794e-04 8.507134e-04 2.675332e-03 1.689647e-03 6.601119e-03 2.071681e-03 +3.022050e+03 -4.126446e-05 2.498275e-01 2.407065e-03 8.189872e-04 9.349081e-04 2.769628e-03 1.896610e-03 6.777416e-03 2.473166e-03 +3.087099e+03 -6.450821e-05 2.498130e-01 2.653014e-03 8.560150e-04 1.022394e-03 2.870136e-03 2.110733e-03 6.966289e-03 2.887165e-03 +3.153550e+03 -8.834621e-05 2.497976e-01 2.908346e-03 8.951522e-04 1.113329e-03 2.977116e-03 2.332356e-03 7.168233e-03 3.314170e-03 +3.221430e+03 -1.128125e-04 2.497814e-01 3.173519e-03 9.364898e-04 1.207877e-03 3.090831e-03 2.561828e-03 7.383741e-03 3.754705e-03 +3.290772e+03 -1.379505e-04 2.497643e-01 3.449075e-03 9.801269e-04 1.306227e-03 3.211559e-03 2.799566e-03 7.613315e-03 4.209518e-03 +3.361606e+03 -1.638075e-04 2.497463e-01 3.735589e-03 1.026166e-03 1.408581e-03 3.339583e-03 3.046010e-03 7.857473e-03 4.679459e-03 +3.433965e+03 -1.904308e-04 2.497273e-01 4.033635e-03 1.074711e-03 1.515141e-03 3.475187e-03 3.301603e-03 8.116683e-03 5.165347e-03 +3.507881e+03 -2.178702e-04 2.497073e-01 4.343818e-03 1.125869e-03 1.626118e-03 3.618668e-03 3.566806e-03 8.391506e-03 5.668002e-03 +3.583389e+03 -2.461798e-04 2.496862e-01 4.666805e-03 1.179759e-03 1.741745e-03 3.770353e-03 3.842118e-03 8.682484e-03 6.188116e-03 +3.660522e+03 -2.754148e-04 2.496640e-01 5.003269e-03 1.236504e-03 1.862255e-03 3.930572e-03 4.128048e-03 8.990223e-03 6.726401e-03 +3.739315e+03 -3.056304e-04 2.496406e-01 5.353887e-03 1.296224e-03 1.987886e-03 4.099659e-03 4.425100e-03 9.315243e-03 7.283533e-03 +3.819804e+03 -3.368863e-04 2.496160e-01 5.719398e-03 1.359053e-03 2.118893e-03 4.277977e-03 4.733817e-03 9.658154e-03 7.860345e-03 +3.902026e+03 -3.692459e-04 2.495901e-01 6.100588e-03 1.425135e-03 2.255548e-03 4.465908e-03 5.054770e-03 1.001964e-02 8.457793e-03 +3.986017e+03 -4.027725e-04 2.495629e-01 6.498241e-03 1.494611e-03 2.398122e-03 4.663838e-03 5.388528e-03 1.040032e-02 9.076799e-03 +4.071817e+03 -4.375309e-04 2.495343e-01 6.913166e-03 1.567628e-03 2.546895e-03 4.872163e-03 5.735671e-03 1.080087e-02 9.718293e-03 +4.159463e+03 -4.735924e-04 2.495043e-01 7.346253e-03 1.644350e-03 2.702171e-03 5.091315e-03 6.096822e-03 1.122196e-02 1.038316e-02 +4.248996e+03 -5.110295e-04 2.494727e-01 7.798413e-03 1.724943e-03 2.864263e-03 5.321739e-03 6.472613e-03 1.166430e-02 1.107226e-02 +4.340456e+03 -5.499151e-04 2.494396e-01 8.270561e-03 1.809574e-03 3.033484e-03 5.563878e-03 6.863677e-03 1.212859e-02 1.178647e-02 +4.433885e+03 -5.903267e-04 2.494048e-01 8.763676e-03 1.898424e-03 3.210168e-03 5.818208e-03 7.270686e-03 1.261563e-02 1.252668e-02 +4.529325e+03 -6.323481e-04 2.493682e-01 9.278826e-03 1.991692e-03 3.394677e-03 6.085249e-03 7.694348e-03 1.312618e-02 1.329376e-02 +4.626819e+03 -6.760633e-04 2.493298e-01 9.817085e-03 2.089575e-03 3.587375e-03 6.365521e-03 8.135381e-03 1.366107e-02 1.408854e-02 +4.726412e+03 -7.215564e-04 2.492895e-01 1.037954e-02 2.192277e-03 3.788627e-03 6.659556e-03 8.594498e-03 1.422110e-02 1.491193e-02 +4.828148e+03 -7.689111e-04 2.492472e-01 1.096733e-02 2.300025e-03 3.998821e-03 6.967954e-03 9.072408e-03 1.480718e-02 1.576469e-02 +4.932075e+03 -8.182108e-04 2.492028e-01 1.158165e-02 2.413061e-03 4.218355e-03 7.291351e-03 9.569819e-03 1.542025e-02 1.664762e-02 +5.038238e+03 -8.695392e-04 2.491563e-01 1.222367e-02 2.531625e-03 4.447626e-03 7.630381e-03 1.008744e-02 1.606122e-02 1.756146e-02 +5.146687e+03 -9.229754e-04 2.491074e-01 1.289476e-02 2.656029e-03 4.687094e-03 7.985916e-03 1.062604e-02 1.673153e-02 1.850697e-02 +5.257470e+03 -9.785887e-04 2.490559e-01 1.359664e-02 2.786754e-03 4.937363e-03 8.359377e-03 1.118656e-02 1.743365e-02 1.948475e-02 +5.370638e+03 -1.036447e-03 2.490018e-01 1.433111e-02 2.924303e-03 5.199060e-03 8.752260e-03 1.176995e-02 1.817030e-02 2.049540e-02 +5.486241e+03 -1.096629e-03 2.489448e-01 1.510004e-02 3.069186e-03 5.472835e-03 9.166057e-03 1.237724e-02 1.894411e-02 2.153969e-02 +5.604333e+03 -1.159398e-03 2.488846e-01 1.590663e-02 3.221962e-03 5.759758e-03 9.602186e-03 1.301052e-02 1.975710e-02 2.262027e-02 +5.724967e+03 -1.225164e-03 2.488210e-01 1.675514e-02 3.383238e-03 6.061238e-03 1.006200e-02 1.367275e-02 2.061082e-02 2.374137e-02 +5.848198e+03 -1.294345e-03 2.487537e-01 1.764986e-02 3.553620e-03 6.378696e-03 1.054685e-02 1.436693e-02 2.150681e-02 2.490729e-02 +5.974081e+03 -1.367329e-03 2.486826e-01 1.859475e-02 3.733648e-03 6.713426e-03 1.105789e-02 1.509575e-02 2.244621e-02 2.612180e-02 +6.102674e+03 -1.444399e-03 2.486075e-01 1.959232e-02 3.923576e-03 7.066180e-03 1.159537e-02 1.586061e-02 2.342821e-02 2.738601e-02 +6.234034e+03 -1.525803e-03 2.485283e-01 2.064467e-02 4.123575e-03 7.437563e-03 1.215932e-02 1.666255e-02 2.445153e-02 2.870040e-02 +6.368223e+03 -1.611792e-03 2.484450e-01 2.175389e-02 4.333821e-03 7.828177e-03 1.274974e-02 1.750261e-02 2.551496e-02 3.006545e-02 +6.505299e+03 -1.702508e-03 2.483574e-01 2.292154e-02 4.554533e-03 8.238440e-03 1.336690e-02 1.838118e-02 2.661782e-02 3.148011e-02 +6.645327e+03 -1.797944e-03 2.482654e-01 2.414838e-02 4.785991e-03 8.668516e-03 1.401139e-02 1.929771e-02 2.776009e-02 3.294107e-02 +6.788368e+03 -1.898084e-03 2.481688e-01 2.543513e-02 5.028485e-03 9.118546e-03 1.468384e-02 2.025160e-02 2.894206e-02 3.444509e-02 +6.934488e+03 -2.002925e-03 2.480677e-01 2.678263e-02 5.282314e-03 9.588714e-03 1.538488e-02 2.124231e-02 3.016382e-02 3.598880e-02 +7.083754e+03 -2.112582e-03 2.479616e-01 2.819286e-02 5.547909e-03 1.007955e-02 1.611536e-02 2.227002e-02 3.142547e-02 3.756972e-02 +7.236233e+03 -2.227234e-03 2.478505e-01 2.966834e-02 5.825760e-03 1.059176e-02 1.687620e-02 2.333525e-02 3.272714e-02 3.918593e-02 +7.391993e+03 -2.347058e-03 2.477341e-01 3.121161e-02 6.116362e-03 1.112605e-02 1.766834e-02 2.443850e-02 3.406886e-02 4.083528e-02 +7.551107e+03 -2.472251e-03 2.476122e-01 3.282538e-02 6.420228e-03 1.168317e-02 1.849272e-02 2.558031e-02 3.545057e-02 4.251566e-02 +7.713645e+03 -2.603056e-03 2.474846e-01 3.451285e-02 6.737930e-03 1.226398e-02 1.935028e-02 2.676124e-02 3.687176e-02 4.422435e-02 +7.879682e+03 -2.739721e-03 2.473509e-01 3.627727e-02 7.070050e-03 1.286936e-02 2.024195e-02 2.798184e-02 3.833182e-02 4.595866e-02 +8.049293e+03 -2.882499e-03 2.472108e-01 3.812193e-02 7.417169e-03 1.350019e-02 2.116869e-02 2.924266e-02 3.983018e-02 4.771589e-02 +8.222555e+03 -3.031663e-03 2.470642e-01 4.005038e-02 7.779913e-03 1.415738e-02 2.213140e-02 3.054409e-02 4.136573e-02 4.949229e-02 +8.399547e+03 -3.187504e-03 2.469107e-01 4.206644e-02 8.158947e-03 1.484190e-02 2.313101e-02 3.188639e-02 4.293709e-02 5.128358e-02 +8.580348e+03 -3.350316e-03 2.467499e-01 4.417391e-02 8.554935e-03 1.555471e-02 2.416840e-02 3.326979e-02 4.454280e-02 5.308535e-02 +8.765041e+03 -3.520399e-03 2.465816e-01 4.637669e-02 8.968556e-03 1.629677e-02 2.524447e-02 3.469449e-02 4.618127e-02 5.489282e-02 +8.953709e+03 -3.698083e-03 2.464054e-01 4.867908e-02 9.400543e-03 1.706909e-02 2.636001e-02 3.616028e-02 4.785009e-02 5.670010e-02 +9.146439e+03 -3.883705e-03 2.462209e-01 5.108548e-02 9.851650e-03 1.787269e-02 2.751582e-02 3.766689e-02 4.954658e-02 5.850075e-02 +9.343317e+03 -4.077603e-03 2.460277e-01 5.360030e-02 1.032263e-02 1.870857e-02 2.871265e-02 3.921402e-02 5.126809e-02 6.028831e-02 +9.544433e+03 -4.280136e-03 2.458256e-01 5.622819e-02 1.081427e-02 1.957777e-02 2.995121e-02 4.080111e-02 5.301137e-02 6.205535e-02 +9.749878e+03 -4.491689e-03 2.456139e-01 5.897420e-02 1.132741e-02 2.048133e-02 3.123206e-02 4.242713e-02 5.477222e-02 6.379281e-02 +9.959745e+03 -4.712650e-03 2.453924e-01 6.184338e-02 1.186290e-02 2.142028e-02 3.255572e-02 4.409101e-02 5.654638e-02 6.549166e-02 +1.017413e+04 -4.943412e-03 2.451606e-01 6.484087e-02 1.242159e-02 2.239567e-02 3.392273e-02 4.579163e-02 5.832945e-02 6.714241e-02 +1.039313e+04 -5.184400e-03 2.449179e-01 6.797222e-02 1.300438e-02 2.340853e-02 3.533338e-02 4.752719e-02 6.011579e-02 6.873409e-02 +1.061684e+04 -5.436058e-03 2.446639e-01 7.124324e-02 1.361221e-02 2.445989e-02 3.678782e-02 4.929555e-02 6.189904e-02 7.025450e-02 +1.084537e+04 -5.698832e-03 2.443982e-01 7.465974e-02 1.424603e-02 2.555076e-02 3.828622e-02 5.109454e-02 6.367284e-02 7.169144e-02 +1.107882e+04 -5.973180e-03 2.441200e-01 7.822773e-02 1.490680e-02 2.668214e-02 3.982859e-02 5.292166e-02 6.543021e-02 7.303206e-02 +1.131729e+04 -6.259600e-03 2.438289e-01 8.195374e-02 1.559554e-02 2.785500e-02 4.141457e-02 5.477345e-02 6.716260e-02 7.426134e-02 +1.156090e+04 -6.558599e-03 2.435243e-01 8.584440e-02 1.631328e-02 2.907027e-02 4.304374e-02 5.664626e-02 6.886107e-02 7.536370e-02 +1.180975e+04 -6.870684e-03 2.432056e-01 8.990638e-02 1.706105e-02 3.032887e-02 4.471564e-02 5.853643e-02 7.051665e-02 7.632359e-02 +1.206395e+04 -7.196394e-03 2.428721e-01 9.414675e-02 1.783994e-02 3.163166e-02 4.642941e-02 6.043933e-02 7.211884e-02 7.712407e-02 +1.232363e+04 -7.536301e-03 2.425232e-01 9.857302e-02 1.865106e-02 3.297940e-02 4.818378e-02 6.234944e-02 7.365581e-02 7.774628e-02 +1.258890e+04 -7.890976e-03 2.421582e-01 1.031927e-01 1.949552e-02 3.437284e-02 4.997747e-02 6.426118e-02 7.511560e-02 7.817188e-02 +1.285988e+04 -8.261001e-03 2.417762e-01 1.080135e-01 2.037446e-02 3.581269e-02 5.180906e-02 6.616869e-02 7.648589e-02 7.838181e-02 +1.313669e+04 -8.647001e-03 2.413767e-01 1.130436e-01 2.128903e-02 3.729948e-02 5.367632e-02 6.806451e-02 7.775218e-02 7.835548e-02 +1.341946e+04 -9.049619e-03 2.409587e-01 1.182915e-01 2.224044e-02 3.883362e-02 5.557680e-02 6.994066e-02 7.889926e-02 7.807210e-02 +1.370831e+04 -9.469497e-03 2.405215e-01 1.237658e-01 2.322986e-02 4.041557e-02 5.750801e-02 7.178913e-02 7.991186e-02 7.751066e-02 +1.400338e+04 -9.907301e-03 2.400642e-01 1.294752e-01 2.425849e-02 4.204559e-02 5.946694e-02 7.360092e-02 8.077369e-02 7.664999e-02 +1.430481e+04 -1.036374e-02 2.395859e-01 1.354291e-01 2.532755e-02 4.372363e-02 6.144961e-02 7.536530e-02 8.146652e-02 7.546880e-02 +1.461272e+04 -1.083952e-02 2.390857e-01 1.416370e-01 2.643826e-02 4.544965e-02 6.345197e-02 7.707140e-02 8.197192e-02 7.394562e-02 +1.492726e+04 -1.133537e-02 2.385625e-01 1.481085e-01 2.759184e-02 4.722355e-02 6.546986e-02 7.870815e-02 8.227131e-02 7.205921e-02 +1.524857e+04 -1.185204e-02 2.380154e-01 1.548537e-01 2.878951e-02 4.904478e-02 6.749790e-02 8.026258e-02 8.234475e-02 6.979028e-02 +1.557680e+04 -1.239030e-02 2.374434e-01 1.618829e-01 3.003247e-02 5.091256e-02 6.953001e-02 8.172055e-02 8.217134e-02 6.712034e-02 +1.591209e+04 -1.295094e-02 2.368452e-01 1.692068e-01 3.132194e-02 5.282609e-02 7.156009e-02 8.306793e-02 8.173025e-02 6.403099e-02 +1.625460e+04 -1.353475e-02 2.362199e-01 1.768358e-01 3.265910e-02 5.478434e-02 7.358149e-02 8.428986e-02 8.100041e-02 6.050565e-02 +1.660448e+04 -1.414255e-02 2.355662e-01 1.847813e-01 3.404510e-02 5.678563e-02 7.558591e-02 8.536930e-02 7.996038e-02 5.653322e-02 +1.696190e+04 -1.477519e-02 2.348828e-01 1.930546e-01 3.548105e-02 5.882811e-02 7.756472e-02 8.628878e-02 7.858855e-02 5.210368e-02 +1.732700e+04 -1.543350e-02 2.341686e-01 2.016672e-01 3.696809e-02 6.090993e-02 7.950924e-02 8.703074e-02 7.686341e-02 4.720734e-02 +1.769997e+04 -1.611834e-02 2.334222e-01 2.106308e-01 3.850723e-02 6.302857e-02 8.140941e-02 8.757632e-02 7.476456e-02 4.184186e-02 +1.808096e+04 -1.683058e-02 2.326422e-01 2.199575e-01 4.009944e-02 6.518082e-02 8.325367e-02 8.790523e-02 7.227296e-02 3.601274e-02 +1.847016e+04 -1.757110e-02 2.318272e-01 2.296595e-01 4.174563e-02 6.736344e-02 8.503044e-02 8.799711e-02 6.936957e-02 2.972596e-02 +1.886773e+04 -1.834077e-02 2.309758e-01 2.397488e-01 4.344672e-02 6.957298e-02 8.672774e-02 8.783142e-02 6.603617e-02 2.298992e-02 +1.927386e+04 -1.914048e-02 2.300866e-01 2.502381e-01 4.520339e-02 7.180485e-02 8.833150e-02 8.738658e-02 6.225932e-02 1.582895e-02 +1.968873e+04 -1.997110e-02 2.291578e-01 2.611399e-01 4.701626e-02 7.405400e-02 8.982691e-02 8.664062e-02 5.802737e-02 8.273137e-03 +2.011253e+04 -2.083351e-02 2.281880e-01 2.724668e-01 4.888594e-02 7.631538e-02 9.119913e-02 8.557156e-02 5.332864e-02 3.527159e-04 +2.054546e+04 -2.172860e-02 2.271755e-01 2.842315e-01 5.081287e-02 7.858319e-02 9.243222e-02 8.415779e-02 4.815648e-02 -7.890994e-03 +2.098770e+04 -2.265718e-02 2.261187e-01 2.964464e-01 5.279718e-02 8.085019e-02 9.350827e-02 8.237835e-02 4.251339e-02 -1.639551e-02 +2.143946e+04 -2.362010e-02 2.250159e-01 3.091242e-01 5.483892e-02 8.310898e-02 9.440911e-02 8.021235e-02 3.640297e-02 -2.509673e-02 +2.190095e+04 -2.461820e-02 2.238652e-01 3.222775e-01 5.693819e-02 8.535214e-02 9.511656e-02 7.763894e-02 2.982898e-02 -3.392911e-02 +2.237237e+04 -2.565224e-02 2.226650e-01 3.359184e-01 5.909471e-02 8.757104e-02 9.561136e-02 7.463970e-02 2.280552e-02 -4.281124e-02 +2.285394e+04 -2.672294e-02 2.214133e-01 3.500587e-01 6.130777e-02 8.975549e-02 9.587274e-02 7.119943e-02 1.536058e-02 -5.163912e-02 +2.334587e+04 -2.783101e-02 2.201085e-01 3.647102e-01 6.357663e-02 9.189518e-02 9.587985e-02 6.730319e-02 7.523076e-03 -6.030769e-02 +2.384840e+04 -2.897713e-02 2.187486e-01 3.798845e-01 6.590053e-02 9.397971e-02 9.561183e-02 6.293630e-02 -6.772748e-04 -6.871063e-02 +2.436173e+04 -3.016187e-02 2.173317e-01 3.955923e-01 6.827814e-02 9.599716e-02 9.504743e-02 5.809045e-02 -9.194060e-03 -7.672571e-02 +2.488612e+04 -3.138570e-02 2.158561e-01 4.118434e-01 7.070761e-02 9.793408e-02 9.416507e-02 5.276345e-02 -1.796456e-02 -8.421466e-02 +2.542180e+04 -3.264905e-02 2.143198e-01 4.286475e-01 7.318707e-02 9.977698e-02 9.294317e-02 4.695341e-02 -2.692543e-02 -9.103965e-02 +2.596901e+04 -3.395237e-02 2.127210e-01 4.460139e-01 7.571456e-02 1.015122e-01 9.136023e-02 4.065934e-02 -3.601168e-02 -9.706147e-02 +2.652799e+04 -3.529583e-02 2.110577e-01 4.639503e-01 7.828732e-02 1.031245e-01 8.939632e-02 3.389246e-02 -4.513668e-02 -1.021383e-01 +2.709901e+04 -3.667949e-02 2.093284e-01 4.824627e-01 8.090200e-02 1.045972e-01 8.703256e-02 2.667251e-02 -5.419890e-02 -1.061267e-01 +2.768232e+04 -3.810337e-02 2.075311e-01 5.015571e-01 8.355525e-02 1.059137e-01 8.425009e-02 1.901938e-02 -6.309636e-02 -1.088828e-01 +2.827819e+04 -3.956746e-02 2.056640e-01 5.212390e-01 8.624357e-02 1.070574e-01 8.103064e-02 1.095522e-02 -7.172500e-02 -1.102664e-01 +2.888688e+04 -4.107136e-02 2.037257e-01 5.415107e-01 8.896235e-02 1.080099e-01 7.736091e-02 2.520896e-03 -7.996147e-02 -1.101672e-01 +2.950867e+04 -4.261451e-02 2.017146e-01 5.623724e-01 9.170645e-02 1.087525e-01 7.323005e-02 -6.233356e-03 -8.767318e-02 -1.084894e-01 +3.014385e+04 -4.419630e-02 1.996292e-01 5.838245e-01 9.447068e-02 1.092662e-01 6.862725e-02 -1.525725e-02 -9.472732e-02 -1.051374e-01 +3.079270e+04 -4.581608e-02 1.974679e-01 6.058664e-01 9.724966e-02 1.095320e-01 6.354340e-02 -2.449643e-02 -1.009906e-01 -1.000300e-01 +3.145551e+04 -4.747261e-02 1.952299e-01 6.284923e-01 1.000367e-01 1.095305e-01 5.797912e-02 -3.387362e-02 -1.063269e-01 -9.316282e-02 +3.213260e+04 -4.916447e-02 1.929140e-01 6.516945e-01 1.028245e-01 1.092422e-01 5.193844e-02 -4.330351e-02 -1.105991e-01 -8.455966e-02 +3.282425e+04 -5.089026e-02 1.905192e-01 6.754653e-01 1.056060e-01 1.086476e-01 4.542538e-02 -5.270079e-02 -1.136701e-01 -7.424435e-02 +3.353080e+04 -5.264837e-02 1.880448e-01 6.997955e-01 1.083736e-01 1.077275e-01 3.844776e-02 -6.197488e-02 -1.154103e-01 -6.227111e-02 +3.425255e+04 -5.443651e-02 1.854905e-01 7.246685e-01 1.111185e-01 1.064643e-01 3.102806e-02 -7.101497e-02 -1.157191e-01 -4.881305e-02 +3.498984e+04 -5.625222e-02 1.828560e-01 7.500665e-01 1.138315e-01 1.048407e-01 2.319233e-02 -7.970530e-02 -1.145029e-01 -3.407230e-02 +3.574300e+04 -5.809302e-02 1.801413e-01 7.759714e-01 1.165033e-01 1.028394e-01 1.496660e-02 -8.793014e-02 -1.116681e-01 -1.825069e-02 +3.651238e+04 -5.995616e-02 1.773465e-01 8.023622e-01 1.191243e-01 1.004447e-01 6.383483e-03 -9.557101e-02 -1.071464e-01 -1.592974e-03 +3.729831e+04 -6.183811e-02 1.744725e-01 8.292102e-01 1.216840e-01 9.764475e-02 -2.506784e-03 -1.025021e-01 -1.009369e-01 1.554155e-02 +3.810116e+04 -6.373521e-02 1.715202e-01 8.564851e-01 1.241715e-01 9.442857e-02 -1.165106e-02 -1.085965e-01 -9.304990e-02 3.277469e-02 +3.892129e+04 -6.564379e-02 1.684907e-01 8.841569e-01 1.265760e-01 9.078510e-02 -2.099611e-02 -1.137271e-01 -8.349605e-02 4.972790e-02 +3.975908e+04 -6.755979e-02 1.653853e-01 9.121911e-01 1.288863e-01 8.670675e-02 -3.048009e-02 -1.177748e-01 -7.233464e-02 6.600131e-02 +4.061490e+04 -6.947839e-02 1.622065e-01 9.405452e-01 1.310909e-01 8.219249e-02 -4.002484e-02 -1.206350e-01 -5.971679e-02 8.115405e-02 +4.148914e+04 -7.139468e-02 1.589565e-01 9.691759e-01 1.331781e-01 7.724202e-02 -4.955037e-02 -1.222047e-01 -4.580377e-02 9.474129e-02 +4.238219e+04 -7.330375e-02 1.556378e-01 9.980397e-01 1.351363e-01 7.185516e-02 -5.897653e-02 -1.223817e-01 -3.075827e-02 1.063193e-01 +4.329448e+04 -7.520027e-02 1.522535e-01 1.027088e+00 1.369540e-01 6.603772e-02 -6.821600e-02 -1.210913e-01 -1.480261e-02 1.155026e-01 +4.422639e+04 -7.707834e-02 1.488073e-01 1.056267e+00 1.386202e-01 5.980362e-02 -7.717172e-02 -1.182971e-01 1.760271e-03 1.219866e-01 +4.517837e+04 -7.893201e-02 1.453033e-01 1.085521e+00 1.401237e-01 5.316734e-02 -8.574593e-02 -1.139650e-01 1.862143e-02 1.254709e-01 +4.615084e+04 -8.075532e-02 1.417455e-01 1.114794e+00 1.414535e-01 4.614374e-02 -9.384091e-02 -1.080634e-01 3.547086e-02 1.256643e-01 +4.714424e+04 -8.254202e-02 1.381384e-01 1.144027e+00 1.425995e-01 3.875576e-02 -1.013595e-01 -1.006123e-01 5.196691e-02 1.224522e-01 +4.815903e+04 -8.428554e-02 1.344876e-01 1.173155e+00 1.435530e-01 3.103428e-02 -1.082051e-01 -9.168210e-02 6.773750e-02 1.158930e-01 +4.919566e+04 -8.597928e-02 1.307984e-01 1.202115e+00 1.443049e-01 2.301050e-02 -1.142812e-01 -8.134539e-02 8.240922e-02 1.060526e-01 +5.025460e+04 -8.761666e-02 1.270762e-01 1.230843e+00 1.448466e-01 1.471625e-02 -1.194923e-01 -6.967954e-02 9.561232e-02 9.301550e-02 +5.133633e+04 -8.919110e-02 1.233271e-01 1.259272e+00 1.451715e-01 6.191775e-03 -1.237579e-01 -5.682528e-02 1.070249e-01 7.710642e-02 +5.244135e+04 -9.069601e-02 1.195577e-01 1.287334e+00 1.452745e-01 -2.516736e-03 -1.270083e-01 -4.296807e-02 1.163590e-01 5.881974e-02 +5.357016e+04 -9.212479e-02 1.157744e-01 1.314961e+00 1.451508e-01 -1.136298e-02 -1.291737e-01 -2.829431e-02 1.233272e-01 3.865409e-02 +5.472326e+04 -9.347091e-02 1.119839e-01 1.342086e+00 1.447958e-01 -2.030002e-02 -1.301882e-01 -1.299575e-02 1.276596e-01 1.712462e-02 +5.590119e+04 -9.472841e-02 1.081930e-01 1.368645e+00 1.442080e-01 -2.927543e-02 -1.300180e-01 2.690402e-03 1.292334e-01 -5.110754e-03 +5.710447e+04 -9.589162e-02 1.044089e-01 1.394575e+00 1.433881e-01 -3.823406e-02 -1.286453e-01 1.850399e-02 1.279999e-01 -2.732136e-02 +5.833365e+04 -9.695484e-02 1.006386e-01 1.419812e+00 1.423363e-01 -4.712073e-02 -1.260525e-01 3.418471e-02 1.239112e-01 -4.877621e-02 +5.958929e+04 -9.791257e-02 9.688914e-02 1.444296e+00 1.410537e-01 -5.588028e-02 -1.222294e-01 4.947300e-02 1.169533e-01 -6.876278e-02 +6.087195e+04 -9.876028e-02 9.316748e-02 1.467971e+00 1.395451e-01 -6.445784e-02 -1.172078e-01 6.411362e-02 1.073060e-01 -8.667340e-02 +6.218223e+04 -9.949376e-02 8.948042e-02 1.490783e+00 1.378164e-01 -7.279863e-02 -1.110344e-01 7.785290e-02 9.521821e-02 -1.019376e-01 +6.352071e+04 -1.001088e-01 8.583479e-02 1.512680e+00 1.358735e-01 -8.084785e-02 -1.037561e-01 9.043714e-02 8.093870e-02 -1.139848e-01 +6.488800e+04 -1.006017e-01 8.223725e-02 1.533611e+00 1.337234e-01 -8.855267e-02 -9.542961e-02 1.016293e-01 6.475136e-02 -1.223293e-01 +6.628472e+04 -1.009701e-01 7.869387e-02 1.553539e+00 1.313765e-01 -9.586791e-02 -8.615055e-02 1.112576e-01 4.707742e-02 -1.268173e-01 +6.771151e+04 -1.012123e-01 7.521057e-02 1.572432e+00 1.288441e-01 -1.027503e-01 -7.602405e-02 1.191663e-01 2.837195e-02 -1.273754e-01 +6.916900e+04 -1.013264e-01 7.179325e-02 1.590254e+00 1.261373e-01 -1.091564e-01 -6.515528e-02 1.251995e-01 9.089761e-03 -1.239316e-01 +7.065787e+04 -1.013111e-01 6.844746e-02 1.606977e+00 1.232684e-01 -1.150479e-01 -5.365697e-02 1.292383e-01 -1.031367e-02 -1.165389e-01 +7.217879e+04 -1.011667e-01 6.517770e-02 1.622585e+00 1.202516e-01 -1.203986e-01 -4.166234e-02 1.312629e-01 -2.938175e-02 -1.055951e-01 +7.373245e+04 -1.008937e-01 6.198831e-02 1.637063e+00 1.171015e-01 -1.251850e-01 -2.930808e-02 1.312704e-01 -4.765756e-02 -9.155347e-02 +7.531955e+04 -1.004927e-01 5.888362e-02 1.650398e+00 1.138327e-01 -1.293834e-01 -1.673085e-02 1.292582e-01 -6.468491e-02 -7.486931e-02 +7.694081e+04 -9.996502e-02 5.586738e-02 1.662581e+00 1.104604e-01 -1.329775e-01 -4.065781e-03 1.252703e-01 -8.006997e-02 -5.607241e-02 +7.859697e+04 -9.931333e-02 5.294219e-02 1.673620e+00 1.070003e-01 -1.359655e-01 8.554896e-03 1.194393e-01 -9.353807e-02 -3.583687e-02 +8.028878e+04 -9.854060e-02 5.011056e-02 1.683522e+00 1.034683e-01 -1.383469e-01 2.099930e-02 1.119080e-01 -1.048282e-01 -1.485167e-02 +8.201700e+04 -9.764976e-02 4.737497e-02 1.692294e+00 9.988046e-02 -1.401216e-01 3.313590e-02 1.028200e-01 -1.136819e-01 6.194301e-03 +8.378243e+04 -9.664449e-02 4.473714e-02 1.699953e+00 9.625219e-02 -1.412978e-01 4.484809e-02 9.235107e-02 -1.199514e-01 2.667498e-02 +8.558585e+04 -9.552946e-02 4.219778e-02 1.706521e+00 9.259841e-02 -1.418953e-01 5.603974e-02 8.072152e-02 -1.236409e-01 4.604927e-02 +8.742810e+04 -9.430945e-02 3.975753e-02 1.712026e+00 8.893398e-02 -1.419344e-01 6.661620e-02 6.815483e-02 -1.247655e-01 6.378105e-02 +8.931000e+04 -9.298923e-02 3.741699e-02 1.716492e+00 8.527370e-02 -1.414361e-01 7.648396e-02 5.487439e-02 -1.233450e-01 7.934389e-02 +9.123241e+04 -9.157416e-02 3.517600e-02 1.719953e+00 8.163101e-02 -1.404279e-01 8.557539e-02 4.110161e-02 -1.195019e-01 9.239157e-02 +9.319619e+04 -9.007015e-02 3.303361e-02 1.722445e+00 7.801800e-02 -1.389439e-01 9.384839e-02 2.705597e-02 -1.134608e-01 1.027584e-01 +9.520225e+04 -8.848314e-02 3.098889e-02 1.724008e+00 7.444673e-02 -1.370186e-01 1.012620e-01 1.295684e-02 -1.054505e-01 1.102857e-01 +9.725149e+04 -8.681908e-02 2.904081e-02 1.724680e+00 7.092906e-02 -1.346865e-01 1.077772e-01 -9.792437e-04 -9.570275e-02 1.148294e-01 +9.934484e+04 -8.508419e-02 2.718773e-02 1.724504e+00 6.747481e-02 -1.319851e-01 1.133835e-01 -1.457336e-02 -8.449029e-02 1.164352e-01 +1.014832e+05 -8.328487e-02 2.542755e-02 1.723526e+00 6.409229e-02 -1.289539e-01 1.180903e-01 -2.767344e-02 -7.211493e-02 1.152856e-01 +1.036677e+05 -8.142752e-02 2.375816e-02 1.721791e+00 6.078979e-02 -1.256323e-01 1.219075e-01 -4.012798e-02 -5.887896e-02 1.115645e-01 +1.058991e+05 -7.951853e-02 2.217739e-02 1.719346e+00 5.757533e-02 -1.220597e-01 1.248475e-01 -5.179195e-02 -4.508106e-02 1.054677e-01 +1.081786e+05 -7.756418e-02 2.068264e-02 1.716236e+00 5.445453e-02 -1.182736e-01 1.269442e-01 -6.257560e-02 -3.098738e-02 9.728684e-02 +1.105072e+05 -7.557070e-02 1.927110e-02 1.712510e+00 5.143182e-02 -1.143108e-01 1.282422e-01 -7.241734e-02 -1.684765e-02 8.736105e-02 +1.128859e+05 -7.354432e-02 1.793994e-02 1.708215e+00 4.851159e-02 -1.102081e-01 1.287864e-01 -8.125584e-02 -2.911290e-03 7.603074e-02 +1.153158e+05 -7.149120e-02 1.668633e-02 1.703397e+00 4.569789e-02 -1.060013e-01 1.286233e-01 -8.903832e-02 1.058493e-02 6.363247e-02 +1.177979e+05 -6.941708e-02 1.550722e-02 1.698104e+00 4.299259e-02 -1.017212e-01 1.278087e-01 -9.576142e-02 2.347822e-02 5.048377e-02 +1.203336e+05 -6.732756e-02 1.439954e-02 1.692378e+00 4.039677e-02 -9.739688e-02 1.264022e-01 -1.014395e-01 3.563233e-02 3.689442e-02 +1.229237e+05 -6.522824e-02 1.336018e-02 1.686266e+00 3.791154e-02 -9.305741e-02 1.244631e-01 -1.060870e-01 4.691095e-02 2.317512e-02 +1.255697e+05 -6.312455e-02 1.238608e-02 1.679811e+00 3.553756e-02 -8.873019e-02 1.220505e-01 -1.097257e-01 5.719628e-02 9.614262e-03 +1.282726e+05 -6.102131e-02 1.147417e-02 1.673053e+00 3.327389e-02 -8.443631e-02 1.192223e-01 -1.124070e-01 6.644318e-02 -3.581922e-03 +1.310337e+05 -5.892320e-02 1.062141e-02 1.666033e+00 3.111917e-02 -8.019526e-02 1.160357e-01 -1.141894e-01 7.462466e-02 -1.622817e-02 +1.338542e+05 -5.683489e-02 9.824745e-03 1.658790e+00 2.907203e-02 -7.602656e-02 1.125484e-01 -1.151318e-01 8.171377e-02 -2.813923e-02 +1.367354e+05 -5.476078e-02 9.081203e-03 1.651361e+00 2.713076e-02 -7.194760e-02 1.088149e-01 -1.152958e-01 8.770034e-02 -3.916108e-02 +1.396787e+05 -5.270462e-02 8.387969e-03 1.643780e+00 2.529266e-02 -6.796999e-02 1.048825e-01 -1.147522e-01 9.262063e-02 -4.922354e-02 +1.426853e+05 -5.067005e-02 7.742262e-03 1.636080e+00 2.355488e-02 -6.410437e-02 1.007970e-01 -1.135730e-01 9.651874e-02 -5.827143e-02 +1.457566e+05 -4.866067e-02 7.141302e-03 1.628293e+00 2.191456e-02 -6.036137e-02 9.660417e-02 -1.118305e-01 9.943887e-02 -6.624892e-02 +1.488940e+05 -4.667980e-02 6.582428e-03 1.620450e+00 2.036863e-02 -5.674941e-02 9.234527e-02 -1.095946e-01 1.014345e-01 -7.312892e-02 +1.520990e+05 -4.473011e-02 6.063209e-03 1.612576e+00 1.891357e-02 -5.327270e-02 8.805262e-02 -1.069309e-01 1.025772e-01 -7.893754e-02 +1.553729e+05 -4.281420e-02 5.581237e-03 1.604698e+00 1.754583e-02 -4.993498e-02 8.375750e-02 -1.039048e-01 1.029406e-01 -8.370647e-02 +1.587173e+05 -4.093467e-02 5.134112e-03 1.596840e+00 1.626188e-02 -4.673992e-02 7.949108e-02 -1.005813e-01 1.025983e-01 -8.746825e-02 +1.621337e+05 -3.909372e-02 4.719595e-03 1.589026e+00 1.505809e-02 -4.368937e-02 7.527921e-02 -9.701922e-02 1.016239e-01 -9.027125e-02 +1.656237e+05 -3.729305e-02 4.335670e-03 1.581274e+00 1.393083e-02 -4.078258e-02 7.114038e-02 -9.326816e-02 1.000909e-01 -9.218492e-02 +1.691888e+05 -3.553432e-02 3.980342e-03 1.573601e+00 1.287641e-02 -3.801863e-02 6.709254e-02 -8.937724e-02 9.807289e-02 -9.328042e-02 +1.728306e+05 -3.381914e-02 3.651621e-03 1.566027e+00 1.189117e-02 -3.539654e-02 6.315342e-02 -8.539518e-02 9.564290e-02 -9.362903e-02 +1.765508e+05 -3.214880e-02 3.347709e-03 1.558566e+00 1.097159e-02 -3.291409e-02 5.933591e-02 -8.136245e-02 9.286719e-02 -9.330416e-02 +1.803510e+05 -3.052419e-02 3.066997e-03 1.551233e+00 1.011426e-02 -3.056782e-02 5.564811e-02 -7.731123e-02 8.980491e-02 -9.238139e-02 +1.842331e+05 -2.894621e-02 2.807885e-03 1.544041e+00 9.315783e-03 -2.835420e-02 5.209787e-02 -7.327338e-02 8.651484e-02 -9.093648e-02 +1.881988e+05 -2.741570e-02 2.568786e-03 1.537005e+00 8.572769e-03 -2.626967e-02 4.869280e-02 -6.928013e-02 8.305503e-02 -8.904402e-02 +1.922497e+05 -2.593315e-02 2.348306e-03 1.530132e+00 7.882076e-03 -2.431001e-02 4.543674e-02 -6.535470e-02 7.947317e-02 -8.677238e-02 +1.963879e+05 -2.449874e-02 2.145185e-03 1.523429e+00 7.240728e-03 -2.247053e-02 4.233085e-02 -6.151455e-02 7.580959e-02 -8.418309e-02 +2.006152e+05 -2.311267e-02 1.958170e-03 1.516903e+00 6.645753e-03 -2.074654e-02 3.937622e-02 -5.777699e-02 7.210439e-02 -8.133840e-02 +2.049335e+05 -2.177507e-02 1.786026e-03 1.510558e+00 6.094214e-03 -1.913332e-02 3.657367e-02 -5.415860e-02 6.839647e-02 -7.829900e-02 +2.093447e+05 -2.048581e-02 1.627697e-03 1.504400e+00 5.583483e-03 -1.762606e-02 3.392172e-02 -5.066974e-02 6.471473e-02 -7.511488e-02 +2.138509e+05 -1.924455e-02 1.482224e-03 1.498433e+00 5.111091e-03 -1.621990e-02 3.141765e-02 -4.731756e-02 6.108299e-02 -7.182881e-02 +2.184540e+05 -1.805100e-02 1.348644e-03 1.492659e+00 4.674571e-03 -1.491000e-02 2.905878e-02 -4.410917e-02 5.752498e-02 -6.848503e-02 +2.231563e+05 -1.690478e-02 1.226024e-03 1.487082e+00 4.271509e-03 -1.369152e-02 2.684217e-02 -4.105095e-02 5.406306e-02 -6.512462e-02 +2.279597e+05 -1.580526e-02 1.113583e-03 1.481703e+00 3.899806e-03 -1.255989e-02 2.476374e-02 -3.814508e-02 5.071152e-02 -6.177850e-02 +2.328666e+05 -1.475167e-02 1.010596e-03 1.476523e+00 3.557476e-03 -1.151060e-02 2.281898e-02 -3.539219e-02 4.748178e-02 -5.847271e-02 +2.378791e+05 -1.374327e-02 9.163397e-04 1.471541e+00 3.242536e-03 -1.053916e-02 2.100337e-02 -3.279289e-02 4.438528e-02 -5.523399e-02 +2.429995e+05 -1.277924e-02 8.301198e-04 1.466758e+00 2.953070e-03 -9.641160e-03 1.931228e-02 -3.034722e-02 4.143195e-02 -5.208603e-02 +2.482300e+05 -1.185846e-02 7.513634e-04 1.462170e+00 2.687438e-03 -8.812567e-03 1.774067e-02 -2.805269e-02 3.862628e-02 -4.904400e-02 +2.535732e+05 -1.097978e-02 6.795279e-04 1.457772e+00 2.444069e-03 -8.049444e-03 1.628343e-02 -2.590618e-02 3.597119e-02 -4.612155e-02 +2.590314e+05 -1.014202e-02 6.140708e-04 1.453560e+00 2.221394e-03 -7.347853e-03 1.493541e-02 -2.390460e-02 3.346981e-02 -4.333054e-02 +2.646071e+05 -9.343935e-03 5.544840e-04 1.449529e+00 2.017929e-03 -6.704015e-03 1.369152e-02 -2.204445e-02 3.112394e-02 -4.068208e-02 +2.703028e+05 -8.584089e-03 5.003527e-04 1.445674e+00 1.832426e-03 -6.114591e-03 1.254681e-02 -2.032111e-02 2.893217e-02 -3.818092e-02 +2.761211e+05 -7.861014e-03 4.512785e-04 1.441990e+00 1.663676e-03 -5.576319e-03 1.149633e-02 -1.872981e-02 2.689261e-02 -3.583034e-02 +2.820646e+05 -7.173235e-03 4.068634e-04 1.438470e+00 1.510473e-03 -5.085937e-03 1.053514e-02 -1.726572e-02 2.500324e-02 -3.363490e-02 +2.881361e+05 -6.519156e-03 3.667391e-04 1.435110e+00 1.371688e-03 -4.640332e-03 9.658362e-03 -1.592377e-02 2.326109e-02 -3.159481e-02 +2.943383e+05 -5.896935e-03 3.305949e-04 1.431901e+00 1.246338e-03 -4.236684e-03 8.861258e-03 -1.469820e-02 2.166114e-02 -2.970895e-02 +3.006739e+05 -5.304707e-03 2.981268e-04 1.428836e+00 1.133457e-03 -3.872203e-03 8.139096e-03 -1.358324e-02 2.019817e-02 -2.797372e-02 +3.071460e+05 -4.740601e-03 2.690318e-04 1.425908e+00 1.032084e-03 -3.544107e-03 7.487149e-03 -1.257309e-02 1.886701e-02 -2.638610e-02 +3.137573e+05 -4.202647e-03 2.430347e-04 1.423108e+00 9.413318e-04 -3.249788e-03 6.900864e-03 -1.166186e-02 1.766158e-02 -2.494239e-02 +3.205110e+05 -3.688738e-03 2.198995e-04 1.420423e+00 8.604224e-04 -2.986879e-03 6.375912e-03 -1.084359e-02 1.657530e-02 -2.363560e-02 +3.274100e+05 -3.196753e-03 1.993932e-04 1.417842e+00 7.885851e-04 -2.753033e-03 5.907986e-03 -1.011228e-02 1.560135e-02 -2.245912e-02 +3.344576e+05 -2.724574e-03 1.812839e-04 1.415353e+00 7.250525e-04 -2.545911e-03 5.492795e-03 -9.461948e-03 1.473280e-02 -2.140676e-02 +3.416568e+05 -2.270011e-03 1.653617e-04 1.412946e+00 6.691206e-04 -2.363333e-03 5.126238e-03 -8.886694e-03 1.396275e-02 -2.047113e-02 +3.490110e+05 -1.830807e-03 1.514390e-04 1.410609e+00 6.201502e-04 -2.203278e-03 4.804420e-03 -8.380732e-03 1.328385e-02 -1.964358e-02 +3.565235e+05 -1.404703e-03 1.393294e-04 1.408334e+00 5.775045e-04 -2.063734e-03 4.523462e-03 -7.938242e-03 1.268881e-02 -1.891692e-02 +3.641977e+05 -9.894357e-04 1.288481e-04 1.406109e+00 5.405528e-04 -1.942702e-03 4.279499e-03 -7.553486e-03 1.217044e-02 -1.828190e-02 +3.720371e+05 -5.827523e-04 1.198304e-04 1.403924e+00 5.087276e-04 -1.838368e-03 4.068976e-03 -7.221037e-03 1.172170e-02 -1.773099e-02 +3.800452e+05 -1.824046e-04 1.121269e-04 1.401767e+00 4.815086e-04 -1.749050e-03 3.888560e-03 -6.935725e-03 1.133583e-02 -1.725628e-02 +3.882258e+05 2.138502e-04 1.055885e-04 1.399626e+00 4.583770e-04 -1.673071e-03 3.734921e-03 -6.692432e-03 1.100609e-02 -1.684924e-02 +3.965824e+05 6.082406e-04 1.000689e-04 1.397489e+00 4.388233e-04 -1.608784e-03 3.604790e-03 -6.486081e-03 1.072579e-02 -1.650229e-02 +4.051188e+05 1.002880e-03 9.544431e-05 1.395345e+00 4.224152e-04 -1.554781e-03 3.495355e-03 -6.312286e-03 1.048911e-02 -1.620844e-02 +4.138391e+05 1.399823e-03 9.160318e-05 1.393183e+00 4.087601e-04 -1.509782e-03 3.404043e-03 -6.167013e-03 1.029067e-02 -1.596086e-02 +4.227470e+05 1.801122e-03 8.843402e-05 1.390994e+00 3.974669e-04 -1.472510e-03 3.328289e-03 -6.046219e-03 1.012510e-02 -1.575356e-02 +4.318467e+05 2.208795e-03 8.582975e-05 1.388767e+00 3.881593e-04 -1.441737e-03 3.265626e-03 -5.946049e-03 9.987150e-03 -1.557983e-02 +4.411422e+05 2.624684e-03 8.370745e-05 1.386492e+00 3.805454e-04 -1.416505e-03 3.214128e-03 -5.863462e-03 9.872757e-03 -1.543463e-02 +4.506379e+05 3.050569e-03 8.199318e-05 1.384160e+00 3.743644e-04 -1.395960e-03 3.172069e-03 -5.795745e-03 9.778273e-03 -1.531335e-02 +4.603379e+05 3.488225e-03 8.061316e-05 1.381762e+00 3.693564e-04 -1.379252e-03 3.137732e-03 -5.740162e-03 9.700046e-03 -1.521208e-02 +4.702467e+05 3.939395e-03 7.949921e-05 1.379288e+00 3.652808e-04 -1.365590e-03 3.109522e-03 -5.694216e-03 9.634683e-03 -1.512620e-02 +4.803688e+05 4.405669e-03 7.860469e-05 1.376730e+00 3.619730e-04 -1.354434e-03 3.086350e-03 -5.656171e-03 9.579815e-03 -1.505290e-02 +4.907088e+05 4.888597e-03 7.788864e-05 1.374079e+00 3.592880e-04 -1.345309e-03 3.067252e-03 -5.624515e-03 9.533385e-03 -1.498960e-02 +5.012714e+05 5.389730e-03 7.731010e-05 1.371329e+00 3.570813e-04 -1.337740e-03 3.051270e-03 -5.597704e-03 9.493389e-03 -1.493428e-02 +5.120613e+05 5.910595e-03 7.683304e-05 1.368470e+00 3.552254e-04 -1.331307e-03 3.037553e-03 -5.574420e-03 9.457958e-03 -1.488396e-02 +5.230835e+05 6.452658e-03 7.643444e-05 1.365494e+00 3.536387e-04 -1.325742e-03 3.025560e-03 -5.553792e-03 9.425942e-03 -1.483756e-02 +5.343429e+05 7.017375e-03 7.609371e-05 1.362393e+00 3.522483e-04 -1.320806e-03 3.014802e-03 -5.535044e-03 9.396280e-03 -1.479370e-02 +5.458447e+05 7.606213e-03 7.579380e-05 1.359159e+00 3.509934e-04 -1.316298e-03 3.004876e-03 -5.517529e-03 9.368076e-03 -1.475155e-02 +5.575941e+05 8.220660e-03 7.552271e-05 1.355786e+00 3.498316e-04 -1.312079e-03 2.995494e-03 -5.500793e-03 9.340745e-03 -1.470991e-02 +5.695963e+05 8.862204e-03 7.526920e-05 1.352265e+00 3.487226e-04 -1.308014e-03 2.986390e-03 -5.484408e-03 9.313665e-03 -1.466852e-02 +5.818570e+05 9.532358e-03 7.502514e-05 1.348589e+00 3.476374e-04 -1.304008e-03 2.977362e-03 -5.468078e-03 9.286422e-03 -1.462596e-02 +5.943815e+05 1.023266e-02 7.478504e-05 1.344744e+00 3.465557e-04 -1.299993e-03 2.968277e-03 -5.451544e-03 9.258645e-03 -1.458266e-02 +6.071756e+05 1.096465e-02 7.454373e-05 1.340721e+00 3.454589e-04 -1.295907e-03 2.958998e-03 -5.434609e-03 9.230124e-03 -1.453804e-02 +6.202452e+05 1.173002e-02 7.429816e-05 1.336512e+00 3.443356e-04 -1.291713e-03 2.949456e-03 -5.417139e-03 9.200580e-03 -1.449190e-02 +6.335960e+05 1.253048e-02 7.404616e-05 1.332112e+00 3.431780e-04 -1.287381e-03 2.939587e-03 -5.399058e-03 9.169959e-03 -1.444378e-02 +6.472342e+05 1.336780e-02 7.378568e-05 1.327515e+00 3.419784e-04 -1.282889e-03 2.929342e-03 -5.380272e-03 9.138116e-03 -1.439341e-02 +6.611660e+05 1.424376e-02 7.351524e-05 1.322709e+00 3.407308e-04 -1.278213e-03 2.918676e-03 -5.360696e-03 9.104899e-03 -1.434121e-02 +6.753977e+05 1.516018e-02 7.323350e-05 1.317679e+00 3.394297e-04 -1.273335e-03 2.907542e-03 -5.340259e-03 9.070208e-03 -1.428656e-02 +6.899357e+05 1.611901e-02 7.293929e-05 1.312415e+00 3.380703e-04 -1.268237e-03 2.895905e-03 -5.318888e-03 9.033931e-03 -1.422955e-02 +7.047866e+05 1.712234e-02 7.263197e-05 1.306909e+00 3.366499e-04 -1.262909e-03 2.883742e-03 -5.296550e-03 8.996008e-03 -1.416997e-02 +7.199572e+05 1.817228e-02 7.231095e-05 1.301152e+00 3.351656e-04 -1.257342e-03 2.871032e-03 -5.273211e-03 8.956366e-03 -1.410740e-02 +7.354544e+05 1.927089e-02 7.197533e-05 1.295132e+00 3.336139e-04 -1.251522e-03 2.857745e-03 -5.248806e-03 8.914862e-03 -1.404217e-02 +7.512851e+05 2.042032e-02 7.162415e-05 1.288830e+00 3.319899e-04 -1.245430e-03 2.843836e-03 -5.223257e-03 8.871491e-03 -1.397394e-02 +7.674566e+05 2.162275e-02 7.125633e-05 1.282229e+00 3.302891e-04 -1.239050e-03 2.829268e-03 -5.196505e-03 8.826055e-03 -1.390217e-02 +7.839762e+05 2.288059e-02 7.087125e-05 1.275317e+00 3.285082e-04 -1.232369e-03 2.814016e-03 -5.168493e-03 8.778466e-03 -1.382721e-02 +8.008514e+05 2.419634e-02 7.046844e-05 1.268086e+00 3.266453e-04 -1.225381e-03 2.798061e-03 -5.139185e-03 8.728711e-03 -1.374896e-02 +8.180898e+05 2.557247e-02 7.004738e-05 1.260528e+00 3.246979e-04 -1.218076e-03 2.781381e-03 -5.108556e-03 8.676672e-03 -1.366686e-02 +8.356993e+05 2.701151e-02 6.960724e-05 1.252626e+00 3.226622e-04 -1.210440e-03 2.763945e-03 -5.076528e-03 8.622310e-03 -1.358141e-02 +8.536878e+05 2.851602e-02 6.914708e-05 1.244365e+00 3.205339e-04 -1.202456e-03 2.745717e-03 -5.043056e-03 8.565418e-03 -1.349159e-02 +8.720635e+05 3.008860e-02 6.866603e-05 1.235729e+00 3.183088e-04 -1.194109e-03 2.726659e-03 -5.008053e-03 8.506001e-03 -1.339794e-02 +8.908348e+05 3.173198e-02 6.816325e-05 1.226703e+00 3.159832e-04 -1.185386e-03 2.706741e-03 -4.971465e-03 8.443849e-03 -1.330023e-02 +9.100101e+05 3.344885e-02 6.763802e-05 1.217272e+00 3.135535e-04 -1.176271e-03 2.685931e-03 -4.933248e-03 8.378949e-03 -1.319787e-02 +9.295982e+05 3.524197e-02 6.708942e-05 1.207421e+00 3.110157e-04 -1.166751e-03 2.664195e-03 -4.893330e-03 8.311116e-03 -1.309103e-02 +9.496079e+05 3.711409e-02 6.651664e-05 1.197136e+00 3.083659e-04 -1.156811e-03 2.641499e-03 -4.851646e-03 8.240302e-03 -1.297948e-02 +9.700483e+05 3.906800e-02 6.591873e-05 1.186400e+00 3.055998e-04 -1.146435e-03 2.617809e-03 -4.808131e-03 8.166405e-03 -1.286311e-02 +9.909287e+05 4.110648e-02 6.529493e-05 1.175197e+00 3.027137e-04 -1.135608e-03 2.593089e-03 -4.762730e-03 8.089272e-03 -1.274172e-02 +1.012259e+06 4.323231e-02 6.464431e-05 1.163513e+00 2.997033e-04 -1.124316e-03 2.567305e-03 -4.715373e-03 8.008877e-03 -1.261509e-02 +1.034048e+06 4.544823e-02 6.396604e-05 1.151331e+00 2.965649e-04 -1.112543e-03 2.540424e-03 -4.666006e-03 7.925030e-03 -1.248298e-02 +1.056306e+06 4.775685e-02 6.325927e-05 1.138637e+00 2.932945e-04 -1.100274e-03 2.512412e-03 -4.614559e-03 7.837647e-03 -1.234523e-02 +1.079043e+06 5.016076e-02 6.252320e-05 1.125415e+00 2.898882e-04 -1.087496e-03 2.483238e-03 -4.560978e-03 7.746617e-03 -1.220181e-02 +1.102269e+06 5.266255e-02 6.175699e-05 1.111651e+00 2.863423e-04 -1.074195e-03 2.452867e-03 -4.505195e-03 7.651876e-03 -1.205270e-02 +1.125996e+06 5.526468e-02 6.095990e-05 1.097332e+00 2.826533e-04 -1.060356e-03 2.421269e-03 -4.447161e-03 7.553303e-03 -1.189752e-02 +1.150233e+06 5.796949e-02 6.013119e-05 1.082444e+00 2.788177e-04 -1.045968e-03 2.388417e-03 -4.386820e-03 7.450810e-03 -1.173613e-02 +1.174992e+06 6.077903e-02 5.927023e-05 1.066975e+00 2.748324e-04 -1.031018e-03 2.354283e-03 -4.324130e-03 7.344323e-03 -1.156826e-02 +1.200284e+06 6.369505e-02 5.837634e-05 1.050913e+00 2.706945e-04 -1.015496e-03 2.318842e-03 -4.259033e-03 7.233764e-03 -1.139416e-02 +1.226120e+06 6.671939e-02 5.744897e-05 1.034249e+00 2.664015e-04 -9.993913e-04 2.282069e-03 -4.191503e-03 7.119069e-03 -1.121330e-02 +1.252512e+06 6.985356e-02 5.648767e-05 1.016973e+00 2.619509e-04 -9.826963e-04 2.243950e-03 -4.121478e-03 7.000147e-03 -1.102638e-02 +1.279473e+06 7.309864e-02 5.549204e-05 9.990792e-01 2.573411e-04 -9.654030e-04 2.204465e-03 -4.048965e-03 6.876970e-03 -1.083215e-02 +1.307013e+06 7.645555e-02 5.446175e-05 9.805610e-01 2.525704e-04 -9.475072e-04 2.163603e-03 -3.973914e-03 6.749480e-03 -1.063136e-02 +1.335147e+06 7.992455e-02 5.339667e-05 9.614154e-01 2.476382e-04 -9.290048e-04 2.121356e-03 -3.896320e-03 6.617705e-03 -1.042376e-02 +1.363886e+06 8.350568e-02 5.229670e-05 9.416410e-01 2.425441e-04 -9.098951e-04 2.077723e-03 -3.816177e-03 6.481580e-03 -1.020952e-02 +1.393244e+06 8.719872e-02 5.116195e-05 9.212394e-01 2.372883e-04 -8.901790e-04 2.032705e-03 -3.733497e-03 6.341155e-03 -9.988316e-03 +1.423234e+06 9.100251e-02 4.999261e-05 9.002143e-01 2.318720e-04 -8.698609e-04 1.986312e-03 -3.648288e-03 6.196409e-03 -9.760237e-03 +1.453869e+06 9.491563e-02 4.878913e-05 8.785729e-01 2.262969e-04 -8.489470e-04 1.938558e-03 -3.560581e-03 6.047440e-03 -9.525495e-03 +1.485164e+06 9.893611e-02 4.755208e-05 8.563252e-01 2.205658e-04 -8.274473e-04 1.889467e-03 -3.470418e-03 5.894297e-03 -9.284403e-03 +1.517132e+06 1.030609e-01 4.628219e-05 8.334849e-01 2.146820e-04 -8.053751e-04 1.839068e-03 -3.377855e-03 5.737076e-03 -9.036659e-03 +1.549788e+06 1.072868e-01 4.498046e-05 8.100695e-01 2.086501e-04 -7.827474e-04 1.787401e-03 -3.282955e-03 5.575925e-03 -8.782858e-03 +1.583148e+06 1.116097e-01 4.364811e-05 7.861006e-01 2.024757e-04 -7.595848e-04 1.734512e-03 -3.185816e-03 5.410934e-03 -8.522954e-03 +1.617225e+06 1.160244e-01 4.228655e-05 7.616038e-01 1.961653e-04 -7.359123e-04 1.680459e-03 -3.086537e-03 5.242307e-03 -8.257317e-03 +1.652036e+06 1.205256e-01 4.089754e-05 7.366095e-01 1.897268e-04 -7.117589e-04 1.625309e-03 -2.985242e-03 5.070234e-03 -7.986439e-03 +1.687596e+06 1.251063e-01 3.948294e-05 7.111524e-01 1.831691e-04 -6.871586e-04 1.569136e-03 -2.882072e-03 4.895024e-03 -7.710387e-03 +1.723922e+06 1.297588e-01 3.804496e-05 6.852715e-01 1.765023e-04 -6.621493e-04 1.512030e-03 -2.777177e-03 4.716880e-03 -7.429996e-03 +1.761030e+06 1.344749e-01 3.658612e-05 6.590115e-01 1.697380e-04 -6.367729e-04 1.454086e-03 -2.670763e-03 4.536117e-03 -7.145033e-03 +1.798936e+06 1.392458e-01 3.510916e-05 6.324228e-01 1.628890e-04 -6.110798e-04 1.395418e-03 -2.562998e-03 4.353084e-03 -6.856981e-03 +1.837658e+06 1.440617e-01 3.361724e-05 6.055612e-01 1.559698e-04 -5.851229e-04 1.336145e-03 -2.454143e-03 4.168228e-03 -6.565414e-03 +1.877214e+06 1.489122e-01 3.211365e-05 5.784864e-01 1.489957e-04 -5.589602e-04 1.276406e-03 -2.344414e-03 3.981822e-03 -6.271933e-03 +1.917621e+06 1.537840e-01 3.060191e-05 5.512614e-01 1.419830e-04 -5.326525e-04 1.216333e-03 -2.234078e-03 3.794432e-03 -5.976795e-03 +1.958898e+06 1.586639e-01 2.908577e-05 5.239535e-01 1.349490e-04 -5.062649e-04 1.156079e-03 -2.123408e-03 3.606455e-03 -5.680692e-03 +2.001064e+06 1.635383e-01 2.756928e-05 4.966360e-01 1.279126e-04 -4.798680e-04 1.095802e-03 -2.012699e-03 3.418422e-03 -5.384552e-03 +2.044137e+06 1.683933e-01 2.605679e-05 4.693876e-01 1.208940e-04 -4.535385e-04 1.035678e-03 -1.902265e-03 3.230885e-03 -5.089161e-03 +2.088137e+06 1.732150e-01 2.455291e-05 4.422902e-01 1.139145e-04 -4.273545e-04 9.758887e-04 -1.792451e-03 3.044347e-03 -4.795386e-03 +2.133085e+06 1.779879e-01 2.306224e-05 4.154282e-01 1.069955e-04 -4.013984e-04 9.166183e-04 -1.683587e-03 2.859464e-03 -4.504115e-03 +2.179000e+06 1.826964e-01 2.158960e-05 3.888874e-01 1.001594e-04 -3.757529e-04 8.580575e-04 -1.576020e-03 2.676758e-03 -4.216521e-03 +2.225903e+06 1.873245e-01 2.013978e-05 3.627554e-01 9.342862e-05 -3.505025e-04 8.003978e-04 -1.470117e-03 2.496873e-03 -3.933116e-03 +2.273816e+06 1.918568e-01 1.871774e-05 3.371207e-01 8.682603e-05 -3.257325e-04 7.438343e-04 -1.366234e-03 2.320446e-03 -3.655039e-03 +2.322760e+06 1.962781e-01 1.732833e-05 3.120715e-01 8.037422e-05 -3.015286e-04 6.885648e-04 -1.264718e-03 2.148033e-03 -3.383433e-03 +2.372757e+06 2.005732e-01 1.597633e-05 2.876941e-01 7.409554e-05 -2.779741e-04 6.347769e-04 -1.165919e-03 1.980225e-03 -3.119291e-03 +2.423831e+06 2.047273e-01 1.466635e-05 2.640720e-01 6.801139e-05 -2.551495e-04 5.826558e-04 -1.070186e-03 1.817648e-03 -2.863174e-03 +2.476005e+06 2.087256e-01 1.340280e-05 2.412845e-01 6.214233e-05 -2.331313e-04 5.323763e-04 -9.778414e-04 1.660798e-03 -2.615969e-03 +2.529301e+06 2.125548e-01 1.218979e-05 2.194064e-01 5.650745e-05 -2.119921e-04 4.841036e-04 -8.891744e-04 1.510217e-03 -2.378833e-03 +2.583744e+06 2.162041e-01 1.103113e-05 1.985066e-01 5.112464e-05 -1.917979e-04 4.379886e-04 -8.044786e-04 1.366353e-03 -2.152065e-03 +2.639360e+06 2.196630e-01 9.930177e-06 1.786460e-01 4.600943e-05 -1.726082e-04 3.941689e-04 -7.239858e-04 1.229627e-03 -1.936921e-03 +2.696172e+06 2.229233e-01 8.889833e-06 1.598772e-01 4.117554e-05 -1.544734e-04 3.527555e-04 -6.479254e-04 1.100452e-03 -1.733339e-03 +2.754208e+06 2.259784e-01 7.912477e-06 1.422430e-01 3.663384e-05 -1.374349e-04 3.138476e-04 -5.764566e-04 9.790704e-04 -1.542360e-03 +2.813492e+06 2.288225e-01 6.999826e-06 1.257756e-01 3.239266e-05 -1.215239e-04 2.775137e-04 -5.097251e-04 8.657055e-04 -1.363590e-03 +2.874053e+06 2.314534e-01 6.153079e-06 1.104963e-01 2.845755e-05 -1.067609e-04 2.438000e-04 -4.478058e-04 7.605654e-04 -1.197902e-03 +2.935917e+06 2.338705e-01 5.372756e-06 9.641473e-02 2.483083e-05 -9.315538e-05 2.127305e-04 -3.907328e-04 6.636235e-04 -1.045320e-03 +2.999113e+06 2.360743e-01 4.658745e-06 8.352848e-02 2.151205e-05 -8.070444e-05 1.842985e-04 -3.385110e-04 5.749317e-04 -9.056675e-04 +3.063670e+06 2.380691e-01 4.010190e-06 7.182365e-02 1.849752e-05 -6.939543e-05 1.584727e-04 -2.910720e-04 4.943683e-04 -7.788276e-04 +3.129615e+06 2.398605e-01 3.425718e-06 6.127456e-02 1.578069e-05 -5.920286e-05 1.351975e-04 -2.483240e-04 4.217317e-04 -6.643724e-04 +3.196981e+06 2.414555e-01 2.903277e-06 5.184461e-02 1.335203e-05 -5.009167e-05 1.143912e-04 -2.101042e-04 3.568390e-04 -5.621721e-04 +3.265796e+06 2.428635e-01 2.440276e-06 4.348737e-02 1.119971e-05 -4.201692e-05 9.595116e-05 -1.762380e-04 2.993225e-04 -4.714679e-04 +3.336093e+06 2.440946e-01 2.033629e-06 3.614718e-02 9.309341e-06 -3.492486e-05 7.975493e-05 -1.464923e-04 2.488171e-04 -3.919642e-04 +3.407902e+06 2.451600e-01 1.679841e-06 2.976093e-02 7.664602e-06 -2.875468e-05 6.566502e-05 -1.206094e-04 2.048428e-04 -3.225959e-04 +3.481258e+06 2.460732e-01 1.375084e-06 2.425953e-02 6.247755e-06 -2.343926e-05 5.352686e-05 -9.831153e-05 1.669739e-04 -2.631499e-04 +3.556192e+06 2.468478e-01 1.115256e-06 1.956922e-02 5.039840e-06 -1.890757e-05 4.317700e-05 -7.930683e-05 1.347182e-04 -2.121537e-04 +3.632740e+06 2.474975e-01 8.961573e-07 1.561373e-02 4.021131e-06 -1.508567e-05 3.445033e-05 -6.327441e-05 1.074630e-04 -1.693982e-04 +3.710935e+06 2.480360e-01 7.134689e-07 1.231574e-02 3.171719e-06 -1.189929e-05 2.717454e-05 -4.990356e-05 8.476931e-05 -1.337610e-04 +3.790813e+06 2.484772e-01 5.629373e-07 9.598437e-03 2.471908e-06 -9.273856e-06 2.117846e-05 -3.889423e-05 6.607607e-05 -1.041712e-04 +3.872411e+06 2.488338e-01 4.404550e-07 7.387382e-03 1.902502e-06 -7.137409e-06 1.629985e-05 -2.994081e-05 5.083173e-05 -8.001459e-05 +3.955765e+06 2.491182e-01 3.420861e-07 5.611528e-03 1.445166e-06 -5.421749e-06 1.238105e-05 -2.273948e-05 3.862487e-05 -6.086499e-05 +4.040913e+06 2.493422e-01 2.641463e-07 4.204476e-03 1.082796e-06 -4.062344e-06 9.277389e-06 -1.703449e-05 2.893904e-05 -4.574841e-05 +4.127894e+06 2.495157e-01 2.032780e-07 3.105475e-03 7.997747e-07 -3.000385e-06 6.851898e-06 -1.258576e-05 2.137803e-05 -3.365098e-05 +4.216748e+06 2.496481e-01 1.564092e-07 2.259722e-03 5.819310e-07 -2.183376e-06 4.986031e-06 -9.156890e-06 1.556159e-05 -2.454513e-05 +4.307514e+06 2.497478e-01 1.209081e-07 1.618849e-03 4.168563e-07 -1.564098e-06 3.572653e-06 -6.562281e-06 1.114034e-05 -1.755760e-05 +4.400233e+06 2.498214e-01 9.445041e-08 1.141015e-03 2.938101e-07 -1.102403e-06 2.518059e-06 -4.624011e-06 7.853386e-06 -1.234559e-05 +4.494949e+06 2.498751e-01 7.503435e-08 7.906561e-04 2.035468e-07 -7.639283e-07 1.745789e-06 -3.200797e-06 5.405582e-06 -8.656008e-06 +4.591703e+06 2.499136e-01 6.106773e-08 5.382907e-04 1.386186e-07 -5.199566e-07 1.186958e-06 -2.183245e-06 3.719646e-06 -5.766673e-06 +4.690540e+06 2.499401e-01 5.117552e-08 3.598500e-04 9.265984e-08 -3.475167e-07 7.944714e-07 -1.459949e-06 2.448346e-06 -3.901332e-06 +4.791505e+06 2.499580e-01 4.432376e-08 2.360354e-04 6.077202e-08 -2.278581e-07 5.207273e-07 -9.581886e-07 1.611147e-06 -2.573177e-06 +4.894642e+06 2.499703e-01 3.964841e-08 1.517693e-04 3.905706e-08 -1.465591e-07 3.351909e-07 -6.163121e-07 1.046546e-06 -1.650167e-06 +5.000000e+06 2.499802e-01 3.653701e-08 9.555575e-05 2.460859e-08 -9.230341e-08 2.105271e-07 -3.894520e-07 6.743646e-07 -9.619992e-07 diff --git a/external/distortions/PIXIE_distortions_shapes.dat b/external/distortions/PIXIE_distortions_shapes.dat new file mode 100644 index 00000000..bdc6c982 --- /dev/null +++ b/external/distortions/PIXIE_distortions_shapes.dat @@ -0,0 +1,69 @@ +# In the file there is: nu, G_T, Y_SZ, M_mu, S_i (i=1-6) +# The first line contains the number of lines and the number of columns. +66 6 +3.000000e+01 7.363511e-01 -1.438613e+00 -1.058037e+00 1.427473e-01 -3.452681e-02 6.805973e-03 -1.054176e-03 1.374989e-04 -1.551253e-05 +4.500000e+01 1.609672e+00 -3.052635e+00 -1.297174e+00 1.252273e-01 -1.432580e-02 -1.329020e-03 1.015942e-03 -2.612290e-04 4.705607e-05 +6.000000e+01 2.749112e+00 -4.996052e+00 -1.348056e+00 8.158917e-02 3.914578e-03 -4.368547e-03 8.004312e-04 -1.942425e-05 -2.597344e-05 +7.500000e+01 4.081430e+00 -7.009562e+00 -1.228754e+00 2.983057e-02 1.477684e-02 -3.657697e-03 -1.764903e-05 1.498854e-04 -3.225108e-05 +9.000000e+01 5.525078e+00 -8.828790e+00 -9.661096e-01 -1.746301e-02 1.779227e-02 -1.326137e-03 -5.799023e-04 1.393181e-04 -1.634188e-06 +1.050000e+02 6.997187e+00 -1.021787e+01 -5.927717e-01 -5.282880e-02 1.482921e-02 1.007642e-03 -6.850021e-04 3.103654e-05 2.259261e-05 +1.200000e+02 8.419938e+00 -1.099581e+01 -1.440504e-01 -7.308680e-02 8.486339e-03 2.509399e-03 -4.504205e-04 -6.772683e-05 2.506574e-05 +1.350000e+02 9.725710e+00 -1.105252e+01 3.450229e-01 -7.842093e-02 1.188998e-03 2.947873e-03 -7.926536e-05 -1.152290e-04 1.232458e-05 +1.500000e+02 1.086062e+01 -1.035374e+01 8.421565e-01 -7.118239e-02 -5.260700e-03 2.488636e-03 2.580652e-04 -1.058498e-04 -4.632657e-06 +1.650000e+02 1.178635e+01 -8.935955e+00 1.319607e+00 -5.488290e-02 -9.796378e-03 1.471247e-03 4.646711e-04 -5.799440e-05 -1.693076e-05 +1.800000e+02 1.248040e+01 -6.893857e+00 1.755276e+00 -3.335794e-02 -1.201658e-02 2.566016e-04 5.136817e-04 3.014518e-06 -2.062370e-05 +1.950000e+02 1.293503e+01 -4.363372e+00 2.133140e+00 -1.016551e-02 -1.202366e-02 -8.607889e-04 4.272484e-04 5.571764e-05 -1.619498e-05 +2.100000e+02 1.315525e+01 -1.503410e+00 2.443117e+00 1.178521e-02 -1.024377e-02 -1.687479e-03 2.502040e-04 8.821358e-05 -9.140524e-06 +2.250000e+02 1.315632e+01 1.521271e+00 2.680505e+00 3.038607e-02 -7.241969e-03 -2.136443e-03 4.223132e-05 9.489088e-05 2.467267e-06 +2.400000e+02 1.296097e+01 4.554345e+00 2.845165e+00 4.436341e-02 -3.622799e-03 -2.203658e-03 -1.541740e-04 7.890853e-05 1.192163e-05 +2.550000e+02 1.259676e+01 7.458467e+00 2.940552e+00 5.318004e-02 7.956722e-05 -1.944448e-03 -3.060849e-04 4.745475e-05 1.728944e-05 +2.700000e+02 1.209369e+01 1.012190e+01 2.972745e+00 5.689314e-02 3.444017e-03 -1.447284e-03 -3.957309e-04 9.157322e-06 1.804669e-05 +2.850000e+02 1.148214e+01 1.246155e+01 2.949531e+00 5.599075e-02 6.180430e-03 -8.118383e-04 -4.190301e-04 -2.798835e-05 1.479133e-05 +3.000000e+02 1.079138e+01 1.442302e+01 2.879605e+00 5.124050e-02 8.127132e-03 -1.293431e-04 -3.815261e-04 -5.491679e-05 9.329015e-06 +3.150000e+02 1.004836e+01 1.597851e+01 2.771915e+00 4.352232e-02 9.228341e-03 5.128312e-04 -2.981569e-04 -7.461464e-05 2.225315e-06 +3.300000e+02 9.277044e+00 1.712324e+01 2.635166e+00 3.376732e-02 9.517869e-03 1.059774e-03 -1.846872e-04 -8.207900e-05 -4.813461e-06 +3.450000e+02 8.497961e+00 1.787112e+01 2.477449e+00 2.284435e-02 9.089064e-03 1.473705e-03 -5.784865e-05 -7.793813e-05 -1.064000e-05 +3.600000e+02 7.728116e+00 1.825027e+01 2.306018e+00 1.151732e-02 8.072007e-03 1.736643e-03 6.734788e-05 -6.423267e-05 -1.453320e-05 +3.750000e+02 6.981071e+00 1.829861e+01 2.127155e+00 4.171216e-04 6.613395e-03 1.847206e-03 1.788744e-04 -4.380276e-05 -1.619886e-05 +3.900000e+02 6.267172e+00 1.806004e+01 1.946132e+00 -9.966276e-03 4.862477e-03 1.818034e-03 2.694640e-04 -1.857963e-05 -1.474463e-05 +4.050000e+02 5.593879e+00 1.758109e+01 1.767224e+00 -1.928853e-02 2.952673e-03 1.665720e-03 3.314213e-04 5.705981e-06 -1.266938e-05 +4.200000e+02 4.966137e+00 1.690830e+01 1.593778e+00 -2.732407e-02 1.005778e-03 1.417212e-03 3.646051e-04 2.835553e-05 -9.233860e-06 +4.350000e+02 4.386768e+00 1.608622e+01 1.428295e+00 -3.395935e-02 -8.800497e-04 1.099203e-03 3.699187e-04 4.748663e-05 -4.978240e-06 +4.500000e+02 3.856848e+00 1.515599e+01 1.272542e+00 -3.916975e-02 -2.629306e-03 7.378451e-04 3.502079e-04 6.186770e-05 -4.333127e-07 +4.650000e+02 3.376068e+00 1.415442e+01 1.127655e+00 -4.299947e-02 -4.188412e-03 3.570433e-04 3.095953e-04 7.088705e-05 3.934947e-06 +4.800000e+02 2.943053e+00 1.311354e+01 9.942545e-01 -4.554370e-02 -5.523228e-03 -2.293472e-05 2.532642e-04 7.422226e-05 8.119102e-06 +4.950000e+02 2.555647e+00 1.206045e+01 8.725393e-01 -4.692824e-02 -6.618333e-03 -3.848262e-04 1.852568e-04 7.266640e-05 1.100422e-05 +5.100000e+02 2.211147e+00 1.101742e+01 7.623826e-01 -4.730106e-02 -7.470471e-03 -7.161374e-04 1.109366e-04 6.673093e-05 1.298086e-05 +5.250000e+02 1.906508e+00 1.000217e+01 6.634116e-01 -4.681739e-02 -8.088043e-03 -1.008061e-03 3.458181e-05 5.723556e-05 1.399633e-05 +5.400000e+02 1.638502e+00 9.028279e+00 5.750762e-01 -4.563173e-02 -8.487420e-03 -1.255265e-03 -4.017549e-05 4.508806e-05 1.407893e-05 +5.550000e+02 1.403844e+00 8.105673e+00 4.967069e-01 -4.389145e-02 -8.690328e-03 -1.455404e-03 -1.104288e-04 3.120200e-05 1.331818e-05 +5.700000e+02 1.199291e+00 7.241091e+00 4.275617e-01 -4.173363e-02 -8.721758e-03 -1.609243e-03 -1.740866e-04 1.587359e-05 1.183142e-05 +5.850000e+02 1.021715e+00 6.438595e+00 3.668638e-01 -3.927720e-02 -8.607635e-03 -1.717300e-03 -2.295324e-04 1.090040e-06 9.778424e-06 +6.000000e+02 8.681494e-01 5.700039e+00 3.138304e-01 -3.662967e-02 -8.374142e-03 -1.783743e-03 -2.759678e-04 -1.317903e-05 7.343788e-06 +6.150000e+02 7.358252e-01 5.025501e+00 2.676948e-01 -3.388117e-02 -8.046217e-03 -1.812871e-03 -3.130855e-04 -2.643866e-05 4.680617e-06 +6.300000e+02 6.221890e-01 4.413676e+00 2.277216e-01 -3.110633e-02 -7.646918e-03 -1.809510e-03 -3.410115e-04 -3.832569e-05 1.929454e-06 +6.450000e+02 5.249112e-01 3.862215e+00 1.932183e-01 -2.836531e-02 -7.196961e-03 -1.778692e-03 -3.602059e-04 -4.860041e-05 -7.875558e-07 +6.600000e+02 4.418860e-01 3.368018e+00 1.635412e-01 -2.570580e-02 -6.714686e-03 -1.725889e-03 -3.715286e-04 -5.754433e-05 -3.468410e-06 +6.750000e+02 3.712254e-01 2.927484e+00 1.380997e-01 -2.316133e-02 -6.215123e-03 -1.654775e-03 -3.754934e-04 -6.419861e-05 -5.821144e-06 +6.900000e+02 3.112487e-01 2.536707e+00 1.163570e-01 -2.075800e-02 -5.711405e-03 -1.570359e-03 -3.732389e-04 -6.912548e-05 -7.904734e-06 +7.050000e+02 2.604692e-01 2.191640e+00 9.782976e-02 -1.851232e-02 -5.213971e-03 -1.476588e-03 -3.657467e-04 -7.242149e-05 -9.685396e-06 +7.200000e+02 2.175800e-01 1.888226e+00 8.208613e-02 -1.643369e-02 -4.731019e-03 -1.376920e-03 -3.539835e-04 -7.422424e-05 -1.114694e-05 +7.350000e+02 1.814378e-01 1.622493e+00 6.874285e-02 -1.452575e-02 -4.268746e-03 -1.274309e-03 -3.388676e-04 -7.469804e-05 -1.228797e-05 +7.500000e+02 1.510473e-01 1.390622e+00 5.746195e-02 -1.278792e-02 -3.831737e-03 -1.171471e-03 -3.213538e-04 -7.424116e-05 -1.319384e-05 +7.650000e+02 1.255461e-01 1.189003e+00 4.794709e-02 -1.121496e-02 -3.422660e-03 -1.069831e-03 -3.019573e-04 -7.253972e-05 -1.371669e-05 +7.800000e+02 1.041898e-01 1.014265e+00 3.993972e-02 -9.800361e-03 -3.043410e-03 -9.712905e-04 -2.814821e-04 -7.006120e-05 -1.397730e-05 +7.950000e+02 8.633863e-02 8.632913e-01 3.321531e-02 -8.535320e-03 -2.694696e-03 -8.770389e-04 -2.604964e-04 -6.697473e-05 -1.400577e-05 +8.100000e+02 7.144412e-02 7.332327e-01 2.757976e-02 -7.409864e-03 -2.376424e-03 -7.879301e-04 -2.394738e-04 -6.343607e-05 -1.383416e-05 +8.250000e+02 5.903805e-02 6.215024e-01 2.286587e-02 -6.413365e-03 -2.087871e-03 -7.045326e-04 -2.187988e-04 -5.958494e-05 -1.349495e-05 +8.400000e+02 4.872178e-02 5.257702e-01 1.893019e-02 -5.534951e-03 -1.827854e-03 -6.271760e-04 -1.987741e-04 -5.554381e-05 -1.301976e-05 +8.550000e+02 4.015691e-02 4.439509e-01 1.565006e-02 -4.764005e-03 -1.594937e-03 -5.561352e-04 -1.797005e-04 -5.154294e-05 -1.249026e-05 +8.700000e+02 3.305694e-02 3.741891e-01 1.292090e-02 -4.092781e-03 -1.388610e-03 -4.934784e-04 -1.628255e-04 -4.953393e-05 -1.272217e-05 +8.850000e+02 2.717995e-02 3.148433e-01 1.065384e-02 -3.508589e-03 -1.205877e-03 -4.370820e-04 -1.472789e-04 -4.783911e-05 -1.303657e-05 +9.000000e+02 2.232212e-02 2.644678e-01 8.773570e-03 -2.991787e-03 -1.040109e-03 -3.788049e-04 -1.289179e-04 -3.943006e-05 -1.036459e-05 +9.150000e+02 1.831216e-02 2.217954e-01 7.216424e-03 -2.551989e-03 -8.977733e-04 -3.324894e-04 -1.152271e-04 -3.700355e-05 -1.018985e-05 +9.300000e+02 1.500642e-02 1.857201e-01 5.928723e-03 -2.172829e-03 -7.732414e-04 -2.914271e-04 -1.028680e-04 -3.490579e-05 -1.009086e-05 +9.450000e+02 1.228464e-02 1.552800e-01 4.865312e-03 -1.840871e-03 -6.617754e-04 -2.504114e-04 -8.913402e-05 -2.878330e-05 -8.086289e-06 +9.600000e+02 1.004639e-02 1.296416e-01 3.988290e-03 -1.560476e-03 -5.669583e-04 -2.177630e-04 -7.876130e-05 -2.650731e-05 -7.738621e-06 +9.750000e+02 8.207925e-03 1.080855e-01 3.265914e-03 -1.320673e-03 -4.848308e-04 -1.891651e-04 -6.954017e-05 -2.453535e-05 -7.461671e-06 +9.900000e+02 6.699549e-03 8.999212e-02 2.671647e-03 -1.112568e-03 -4.121367e-04 -1.613418e-04 -5.973949e-05 -2.021784e-05 -6.007961e-06 +1.005000e+03 5.463349e-03 7.482982e-02 2.183353e-03 -9.379065e-04 -3.507820e-04 -1.391838e-04 -5.227451e-05 -1.833452e-05 -5.628375e-06 diff --git a/external/distortions/README b/external/distortions/README new file mode 100644 index 00000000..5308bb5b --- /dev/null +++ b/external/distortions/README @@ -0,0 +1,42 @@ +In this folder all files regarding the evaluation of the PCA decomposition of spectral distortions are contained. + +When using the code, the user is encouraged to cite the following papers: + - Chluba & Jeong 2014, arXiv:1306.5751 + - Release under construction + +All mathematical relations and main concepts are described in Chluba & Jeong 2014. Unless stated differently, all equations' and figures' numbers refer to that paper. + +The basic idea of the PCA decomposition is to compute the amount of energy stored in so-called "residuals", i.e. the energy NOT stored y, mu distortions or temperature shifts, by computing the corresponding spectral distortion. +To achieve this goal, one first has to calculate in a model-independent way the evolution in redshift and frequency of the total Green's function G_th (see e.g. discussion following Eq. (3)). Once G_th is known, one can build an orthonormal basis of "spectral vectors" as explained in Appendix A of the paper. Following the same discussion one can then compute the branching ratios and the residual function (see Appendix A again). Once the residuals are known one can compute the Fisher matrix according to Eq. (9) and the relative eigenvectors correspond to the principal components of the system. +The knowledge of the eingenvectors and the so-called heating function Q is enough to calculate the distortion amplitudes mu_k. The result of the multiplication between mu_k and the distortion signals S_k is then the shape of the residual spectral distortion Delta_I_R (see Eq. (10)). + +As showed in the paper, the resulting vectors E_k and S_k as well as the value of Delta_I_R highly depend on the frequency range assumed before vectorizing Y_SZ(x), M(x), G(x) and G_th(x) as well as the noise level of the detercor. It is therefore fundamental to define the characteristics of the detector before beginning the evaluation of the PCA decomposition. The idea behind this folder is then to determine the full PCA decomposition for each choice of the detector and to create new files (one for redshift dependent quantities called DETECTORNAME_branching_ratios.dat and one for frequency dependent quantities called DETECTORNAME_spectral_shapes.dat) containing the evaluation. +In principle, to do it, it is enough to set 4 input parameters (maximum and minumum frequecy of the detector and corresponding bin size/number of bins, all in GHz, and detector's noise in W/(m^2 Hz sr)) and the program generate_PCA_files.py outputs the evaluated files. Those files are then going to be read by CLASS in distortions.c and, by computing the thermal history of the universe, it will be possible to compute the final shape of the spectral distortions. +In practice, however, it is enough to set the 4 free parameters in the .ini file used to run CLASS together with the detector name. The program will then check in detectors_list.dat, i.e. a list of all "known" detectors with corresponding characteristics, if the required detector is already present. If not, generate_PCA_files.py computes the files for the wished detector and detectors_list.dat is automatically updated with the new setup. + +Said that, the folder contains 4 types of documents: + - Greens_data.dat + This file is adapted from the public version of CosmoTherm (version 1.0.3) by Jens Chluba. It contains + - the number of rows and columns, + - the redshift array, + - the initial blackbody temperature as function of z in K, + - the last blackbody temperature shift as function of z in K, + - the energy injected by the temperature shift and + - a matrix where each line contains the value of the dimensionless frequency x, the array of G_th values + for every z at the corresponding x (the units are 10^-26 W/(m^2 Hz sr)) and the the value of the + blackbody spectrum at the corresponding x. + - generate_PCA_files.py + This file contains the program used read and interpolate G_th from Greens_data.dat, orthonomalize the spectral shapes, calculate + the branching ratios, calculate the Fisher matrix and evaluates corresponding eigenvectors E_k(z) and spectral signals S_k(x). + - DETECTORNAME_branching_ratios.dat + This file contains all redshift dependent quantities, i.e. + - the redshift array, + - the 3 branching ratios for y, mu and g distortion types and + - the eigenvectors E_k of the Fisher matrix up to the 8th order. + - DETECTORNAME_spectral_shapes.dat + This file contains all frequency dependent quantities, i.e. + - the frequency array, + - the 3 spectral distortion shapes for y, mu and g distortion types and + - the spectral signals S_k up to the 8th order. + All values are given in units of 10^-18 W/(m^2 Hz sr). + diff --git a/external/distortions/detectors_list.dat b/external/distortions/detectors_list.dat new file mode 100644 index 00000000..8893d269 --- /dev/null +++ b/external/distortions/detectors_list.dat @@ -0,0 +1,13 @@ +# The list includes all known detector with corresponding +# 1) the name, +# and +# 2) the minimum frequency in GHz, +# 3) the maximum frequencies in GHz, +# 4) the bin widthin in GHz, +# 5) the number of bins and +# 6) the noise of the detector in W/(m^2 Hz sr) +# or +# 2) path to frequency-noise file +# +PIXIE 3.000000e+01 1.005000e+03 1.500000e+01 65 5.000000e-26 +FIRAS FIRAS_nu_delta_I.dat diff --git a/external/distortions/generate_PCA_files.py b/external/distortions/generate_PCA_files.py new file mode 100644 index 00000000..32769984 --- /dev/null +++ b/external/distortions/generate_PCA_files.py @@ -0,0 +1,273 @@ +#!/usr/bin/env python + +import numpy as np +import sys +import scipy.interpolate as sciint +from numpy.linalg import norm as vector_norm +from numpy.linalg import eigh as eigen_vals_vecs +import os +import matplotlib.pyplot as plt + +# Read inputs +if(len(sys.argv)==14): + sd_detector_name = sys.argv[1] + sd_detector_nu_min = eval(sys.argv[2]) + sd_detector_nu_max = eval(sys.argv[3]) + sd_detector_nu_delta = eval(sys.argv[4]) + sd_detector_bin_number = eval(sys.argv[5]) + sd_z_min = eval(sys.argv[6]) + sd_z_max = eval(sys.argv[7]) + sd_z_size = eval(sys.argv[8]) + sd_detector_delta_Ic = eval(sys.argv[9]) + sd_PCA_size = eval(sys.argv[10]) + z_th = eval(sys.argv[11]) + DI_units = eval(sys.argv[12]) # = 2.70062634e-18 + x_to_nu = eval(sys.argv[13]) # = 56.7798 + has_noisefile = False +elif(len(sys.argv)==11): + sd_detector_name = sys.argv[1] + sd_external_path = sys.argv[2] + sd_noisefile_name = sys.argv[3] + sd_z_min = eval(sys.argv[4]) + sd_z_max = eval(sys.argv[5]) + sd_z_size = eval(sys.argv[6]) + sd_PCA_size = eval(sys.argv[7]) + z_th = eval(sys.argv[8]) + DI_units = eval(sys.argv[9]) # = 2.70062634e-18 + x_to_nu = eval(sys.argv[10]) # = 56.7798 + has_noisefile = True +else: + raise Exception("generate_PCA_files.py received invalid input arguments") + +def PCA_string_to_array(line,delimiter=" "): + line = line.replace("\n","") + if delimiter is not "\t": + line = line.replace("\t","") + return np.array([float(x) for x in line.split(delimiter) if (x is not "" and x is not " ")]) + +def read_noisefile(filename): + with open(filename) as det_noise: + header = True + while(header): + line = det_noise.readline() + if(line.startswith("#")): + continue + header=False + Nrows,Ncols = PCA_string_to_array(line) + #Skip first line containing Nx,Ncols + line = det_noise.readline() + cols = [] + while(line): + cols.append(PCA_string_to_array(line)) + line = det_noise.readline() + cols = np.array(cols).T + assert(int(Ncols)==len(cols)) + assert(int(Nrows)==len(cols[0])) + return len(cols[0]),cols[0]/x_to_nu,cols[1]*1e-26 + +dir_path = os.path.dirname(os.path.realpath(__file__)) + +# Read external file Greens_data.dat +readfile = "Greens_data.dat" +with open(os.path.join(dir_path,readfile)) as f: + # Read the header first + header = True + while(header): + line = f.readline() + if(line.startswith("#")): + continue + # The first line of the header without the "#" is still part of the header + header=False + + # Read the first line specifying z + Greens_z = PCA_string_to_array(f.readline()) + Greens_Nz = len(Greens_z) + Greens_lnz = np.log(Greens_z+1.) + + # Read T_ini,T_last and rho + Greens_T_ini = PCA_string_to_array(f.readline()) + Greens_T_last = PCA_string_to_array(f.readline()) + Greens_drho = PCA_string_to_array(f.readline()) + + # Calculate the difference in Temperature + Greens_dT = (Greens_T_last-Greens_T_ini)/Greens_T_ini + + # Read the rest of the file + done = False + Greens_data_full = [] + while(not done): + line = f.readline() + if(not line): + done = True + else: + Greens_data_full.append(PCA_string_to_array(line)) + Greens_data_full = np.array(Greens_data_full).T + + # Seperate the rest of the data into x, Green(z,x) and the blackbody + Greens_x = Greens_data_full[0] + Greens_Nx = len(Greens_x) + Greens_G_th = Greens_data_full[1:Greens_Nz+1] + Greens_blackbody = Greens_data_full[Greens_Nz+1] + + # Spline Greens function for interpolation + Greens_G_th_Spline = [None for index_x_old in range(Greens_Nx)] + for index_x_old in range(Greens_Nx): + Greens_G_th_Spline[index_x_old] = sciint.CubicSpline(Greens_lnz,Greens_G_th[:,index_x_old]) + + # Spline Greens dT for interpolation + Greens_T_ini_Spline = sciint.CubicSpline(Greens_lnz,Greens_T_ini) + Greens_T_last_Spline = sciint.CubicSpline(Greens_lnz,Greens_T_last) + Greens_dT_Spline = sciint.CubicSpline(Greens_lnz,Greens_dT) + Greens_drho_Spline = sciint.CubicSpline(Greens_lnz,Greens_drho) + + # Define new z and x arrays + Nz_arr = sd_z_size + z_arr = np.logspace(np.log10(sd_z_min),np.log10(sd_z_max),Nz_arr) + lnz_arr = np.log(z_arr+1.) + + if has_noisefile: + Nx_arr,x_arr,deltaIc_arr = read_noisefile(os.path.join(sd_external_path,sd_noisefile_name)) + else: + Nx_arr = sd_detector_bin_number+1 + x_arr = np.linspace(sd_detector_nu_min/x_to_nu,sd_detector_nu_max/x_to_nu,Nx_arr) + + # Define visibility function + #bb_vis = np.exp(-(z_arr/2.021e6)**2.5) + bb_vis = np.exp(-(z_arr/z_th)**2.5) + + # The Gth file of Chluba subtracts away some part of the G_T distortion into a shift from T_ini to T_last + # Here we calculate backwards, and obtain the shift of f_g due to the internal dT + df_g = Greens_dT_Spline(lnz_arr)/Greens_drho_Spline(lnz_arr) + + # Initialize spectral shapes + G_th = np.zeros((Nx_arr,Nz_arr)) + DI_T_shift = np.zeros((Nx_arr,Nz_arr)) + Gdist = np.zeros(Nx_arr) + Ydist = np.zeros(Nx_arr) + Mdist = np.zeros(Nx_arr) + + # Interpolate Green's function + index_x_old = 0 + for index_x_new,x in enumerate(x_arr): + # Define spectral shapes + Gdist[index_x_new] = (x**4*np.exp(x)/(np.exp(x)-1)**2)*DI_units*1.0e18 + Ydist[index_x_new] = Gdist[index_x_new]*(x/np.tanh(x/2.)-4.) + Mdist[index_x_new] = Gdist[index_x_new]*(1./2.19229-1./x) + + x_s = Greens_T_ini_Spline(lnz_arr)/Greens_T_last_Spline(lnz_arr)*x + x_z = x*lnz_arr/lnz_arr + DI_T_shift[index_x_new,:] = DI_units*1.0e26*x_z**3.*(np.exp(-x_s)/(1.-np.exp(-x_s))-np.exp(-x_z)/(1.-np.exp(-x_z)))/Greens_drho_Spline(lnz_arr) + + try: + # Find position in xarray + while(x>Greens_x[index_x_old]): + index_x_old += 1 + # Linear interpolation in x + frac = (x-Greens_x[index_x_old])/(Greens_x[index_x_old+1]-Greens_x[index_x_old]) + + # Cubic interpolation for all values of z + lowx_vals = Greens_G_th_Spline[index_x_old](lnz_arr) + highx_vals = Greens_G_th_Spline[index_x_old+1](lnz_arr) + + G_th[index_x_new,:] = (lowx_vals*(1.-frac)+highx_vals*frac) + G_th[index_x_new,:] *= bb_vis*1.e-8 + G_th[index_x_new,:] += DI_T_shift[index_x_new,:]*1.e-8 + #G_th[index_x_new,:] += Gdist[index_x_new]*df_g + except: + raise ValueError("{} is not in the file range [{},{}] for file '{}'".format(x,Greens_x[0],Greens_x[-1],readfile)) + + # Begin orthonormlization + # Y distortion + e_Y = Ydist/vector_norm(Ydist) + M_Y = np.dot(e_Y,Mdist) + G_Y = np.dot(e_Y,Gdist) + # Mu distortion + Mperp = Mdist-M_Y*e_Y + e_M = Mperp/vector_norm(Mperp) + G_M = np.dot(e_M,Gdist) + # G distortion + Gperp = Gdist-G_Y*e_Y-G_M*e_M + e_G = Gperp/vector_norm(Gperp) + + f_g = np.zeros(Nz_arr) + f_mu = np.zeros(Nz_arr) + f_y = np.zeros(Nz_arr) + # Now, factorize G into orthonormal subspace + for index_z in range(Nz_arr): + # Compute non-normalized components + f_g[index_z] = (np.dot(G_th[:,index_z],e_G))/vector_norm(Gperp) + f_mu[index_z] = (np.dot(G_th[:,index_z],e_M)-G_M*f_g[index_z])/vector_norm(Mperp) + f_y[index_z] = (np.dot(G_th[:,index_z],e_Y)-M_Y*f_mu[index_z]-G_Y*f_g[index_z])/vector_norm(Ydist) + + # Now we can re-normalize our functions and add the shift + J_g = 4.*f_g + J_mu = f_mu/1.401 + J_y = 4.*f_y + + # Calculate non-normalized residual + Residual = np.zeros((Nx_arr,Nz_arr)) + for index_x in range(Nx_arr): + for index_z in range(Nz_arr): + Residual[index_x,index_z] = G_th[index_x,index_z]-Gdist[index_x]*f_g[index_z]-Ydist[index_x]*f_y[index_z]-Mdist[index_x]*f_mu[index_z] + + # Calculate Fisher matrix + Fisher = np.zeros((Nz_arr,Nz_arr)) + delta_ln_z = np.log(z_arr[1])-np.log(z_arr[0]) + for index_za in range(Nz_arr): + for index_zb in range(Nz_arr): + if has_noisefile: + Fisher[index_za,index_zb] = np.sum(Residual[:,index_za]*Residual[:,index_zb]*pow(delta_ln_z/deltaIc_arr[:]*1.e8,2.)) + else: + Fisher[index_za,index_zb] = np.sum(Residual[:,index_za]*Residual[:,index_zb]*pow(delta_ln_z/sd_detector_delta_Ic*1.e8,2.)) + + # Solve eigenvalue problem + eigvals,eigvecs = eigen_vals_vecs(Fisher) + eigvals = eigvals[::-1] + eigvecs = eigvecs[:,::-1] + + E_vecs = np.real(eigvecs[:,:sd_PCA_size]).T + S_vecs = np.zeros((sd_PCA_size,Nx_arr)) + for index_pca in range(sd_PCA_size): + for index_x in range(Nx_arr): + S_vecs[index_pca][index_x] = np.dot(E_vecs[index_pca],Residual[index_x,:]*delta_ln_z) + + # Create output files + form = "%.6e" #Output formatting + + # Write file for branching ratio (Evec) + with open(os.path.join(dir_path,sd_detector_name+"_branching_ratios.dat"),"w") as brfile: + brfile.write("# In the file there is: z, J_T, J_y, J_mu, E_i (i=1-{})\n".format(sd_PCA_size)) + brfile.write("# The first line contains the number of lines and the number of columns.\n".format(sd_PCA_size)) + brfile.write("{} {}\n".format(Nz_arr,sd_PCA_size)) + for index_z in range(Nz_arr): + brfile.write((form+" ") % z_arr[index_z]) + brfile.write((form+" ") % f_g[index_z]) + brfile.write((form+" ") % f_y[index_z]) + brfile.write((form ) % f_mu[index_z]) + for index_pca in range(sd_PCA_size): + brfile.write((" "+form) % E_vecs[index_pca][index_z]) + brfile.write("\n") + + # Write file for distortion shapes (Svec) + with open(os.path.join(dir_path,sd_detector_name+"_distortions_shapes.dat"),"w") as dsfile: + dsfile.write("# In the file there is: nu, G_T, Y_SZ, M_mu, S_i (i=1-{})\n".format(sd_PCA_size)) + dsfile.write("# The first line contains the number of lines and the number of columns.\n".format(sd_PCA_size)) + dsfile.write("{} {}\n".format(Nx_arr,sd_PCA_size)) + for index_x in range(Nx_arr): + dsfile.write((form+" ") % (x_arr[index_x]*x_to_nu)) + dsfile.write((form+" ") % Gdist[index_x]) + dsfile.write((form+" ") % Ydist[index_x]) + dsfile.write((form ) % Mdist[index_x]) + for index_pca in range(sd_PCA_size): + dsfile.write((" "+form) % S_vecs[index_pca][index_x]) + dsfile.write("\n") + + # Update list of detectors + # Open and read already present list + with open(os.path.join(dir_path,"detectors_list.dat"),"a") as detector_file: + if has_noisefile: + detector_file.write('%s %s\n' % (sd_detector_name, sd_noisefile_name)) + else: + detector_file.write('%s %.6e %.6e %.6e %i %.6e\n' % (sd_detector_name, sd_detector_nu_min, sd_detector_nu_max, sd_detector_nu_delta, sd_detector_bin_number, sd_detector_delta_Ic)) + + diff --git a/external_Pk/Pk_example.dat b/external/external_Pk/Pk_example.dat similarity index 100% rename from external_Pk/Pk_example.dat rename to external/external_Pk/Pk_example.dat diff --git a/external_Pk/Pk_example_w_tensors.dat b/external/external_Pk/Pk_example_w_tensors.dat similarity index 100% rename from external_Pk/Pk_example_w_tensors.dat rename to external/external_Pk/Pk_example_w_tensors.dat diff --git a/external_Pk/README.md b/external/external_Pk/README.md similarity index 100% rename from external_Pk/README.md rename to external/external_Pk/README.md diff --git a/external_Pk/generate_Pk_example.py b/external/external_Pk/generate_Pk_example.py old mode 100755 new mode 100644 similarity index 100% rename from external_Pk/generate_Pk_example.py rename to external/external_Pk/generate_Pk_example.py diff --git a/external_Pk/generate_Pk_example_w_tensors.py b/external/external_Pk/generate_Pk_example_w_tensors.py old mode 100755 new mode 100644 similarity index 100% rename from external_Pk/generate_Pk_example_w_tensors.py rename to external/external_Pk/generate_Pk_example_w_tensors.py diff --git a/external/heating/Galli_et_al_2013.dat b/external/heating/Galli_et_al_2013.dat new file mode 100644 index 00000000..7701550e --- /dev/null +++ b/external/heating/Galli_et_al_2013.dat @@ -0,0 +1,23 @@ +# Energy fractions from DM annihilation or decays, calculated in arXiv:1306.0563 by Galli et al. 2013 +# format: first line must contain the number of lines +# other lines must contain (xe, chi_heat, chi_lya, chi_ionH, chi_ionHe, chi_lowE (E < 10.2eV)) +# blank lines and lines starting with # neglected +18 +0.000000 0.151800 0.323526 0.350798 0.024367 0.142202 +0.000100 0.151880 0.323526 0.350798 0.024367 0.142202 +0.000300 0.174825 0.308840 0.349058 0.023397 0.136233 +0.000500 0.188520 0.302591 0.345508 0.023737 0.133317 +0.001000 0.210027 0.291280 0.341822 0.023134 0.128324 +0.003000 0.258912 0.269481 0.327298 0.023415 0.118130 +0.005000 0.289871 0.256105 0.316798 0.023029 0.111856 +0.010000 0.338316 0.238304 0.301893 0.021302 0.103617 +0.030000 0.458621 0.192119 0.255925 0.018550 0.083760 +0.050000 0.531628 0.165741 0.228453 0.016601 0.072038 +0.100000 0.654816 0.121705 0.175739 0.012852 0.053388 +0.300000 0.849031 0.052273 0.083885 0.007317 0.023016 +0.500000 0.923644 0.026168 0.043901 0.004914 0.011310 +0.800000 0.975679 0.007178 0.013518 0.003640 0.003117 +0.900000 0.987026 0.003234 0.006406 0.003223 0.001417 +0.990000 0.995299 0.000290 0.001700 0.002924 0.000118 +1.100000 1.000000 0.000000 0.000000 0.000000 0.000000 +1.200000 1.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/external/heating/README b/external/heating/README new file mode 100644 index 00000000..1790256f --- /dev/null +++ b/external/heating/README @@ -0,0 +1,92 @@ +The main goal of this module is to calculate the deposited energy in form of heating, ionization +and Lyman alpha processes. When using this module please consider citing Lucca et al. 2019, where +a complete description of the modules is presented (see Section 2.4 therein), as well as the many +references listed below. + +There are two different kinds of heating that are interesting here: the heating of the baryons and +the heating of the photons. + - For photons, we do not actually calculate any changes in their temperature or density etc. + Instead, we simply model any energy that modifies the photon spectrum as a small + distortion to the blackbody spectrum. This either manifests in tiny temperature shifts + (g-distortion, or dT distortion), or as a change in the spectral shape + (mainly y and mu distortions, depending on the effectivity of energy-redistribution mechanisms). + - For baryons, this treatment is not enough. While compared to the huge photon energy budget + all injection mechanisms must be small, for baryons this is not true. The baryon temperature + might strongly react to injected energy. Sometimes the energy will be used to heat the baryons, + but it can also ionize them, or excite the lyman-alpha level of hydrogen. + The minimal energy to have an effect on baryons is around 10.2 eV, which is derived from the + 1s->2p transition in HI, which is the smallest transition a 1s electron in neutral hydrogen can make. + We thus group together photons with enough energy to completely ionize HeI, to completely ionize HI, + photons with enough energy to excite the lyman-alpha line, photons with too little energy to excite + anything, and finally the effective heating of the baryons due to the injected energy. The + deposition names are correspondingly 'ion_He', 'ion_H', 'lya', 'lowE', and 'heat'. + Of course, many injections could lead to not only heating the baryons (or exciting and ionizing them), + but also create spectral distortions of the baryon blackbody. However, due to the very strong galactic + influences, we do not expect the spectrum to be anywhere close to blackbody anyway. We thus do not + model the spectral distortions of baryons. + +We thus decided to split the tables into + - one which is the baryonic table, the 'deposition_table', that lists all of the contributions of energy + deposition in the IGM to the state of the baryons, and is split among the different types of effects + the energy deposition can have (dep_type), and + - one, the 'photon_dep_table', which lists the energy deposition into the photon fluid. Of course, the + only thing the energy deposition does there is create spectral distortions (including g / dT distortions). + Thus, we do not to split it into different effect types as we do for the baryons. + +To calculate the deposited energy, we first calculate the injected energy rate for different physical +effects, e.g. + 1) Annihilating particles (e.g. dark matter) as described in Chluba 2010 and Chluba & Sunyaev 2012. + (see also Chluba 2013 for useful discussion) + 2) Decaying relic particles as described in Chluba 2010 and Chluba & Sunyaev 2012 (see also + Chluba 2013 for useful discussion) + 3) Evaporation of primordial black holes as described in Poulin et al. 2017 (see also + Tashiro & Sugiyama 2008, Carr et al. 2010 and Carr et al. 2016 for useful discussions) + 4) Acctretion of matter into primordial black holes both via + a) Spherical accretion as described in Ali-Haimoud & Kamionkowski 2017 and + b) Disk accretion as described in Poulin et al. 2017 + (see also Carr et al. 2010 for useful discussion) + +Once the rate of energy injection is known, a so-called deposition function is evaluated, which +determines the amount of energy effectively deposited into the different effects, i.e. heating, +ionization of H, He, Lyman alpha, and low energy for baryons. Also in this case, there are several options + 1) by setting 'chi_type' to 'CK_2004', the approximation by Chen & Kamionkowski 2004 is employed, + 2) by setting 'chi_type' to 'Galli_2013', the approximation by Galli et al. 2013 is employed, + 3) by setting 'chi_type' to 'Slatyer_2013', the approximation by Slatyer 2013 is employed, + 4) by setting 'chi_type' to 'heat', the whole injected energy is going to be deposited into heat, + 5) by setting 'chi_type' to 'from_x_file' or 'from_z_file', the user can define own deposition + functions with respect to the free electron fraction x_e or to redshift, respectively. + +Furthermore, it is also possible to define a so-called injection efficiency, i.e. a factor +determining how much of the heating is deposited at all, regardless of the form. There are two +options to define this function + 1) the on-the-spot approximation, where the whole injected energy is transformed into deposited energy, + i.e. f_eff=1, and + 2) reading a precomputed function from an external file. +All of these steps are evaluated in the module 'injection.c'. + +However, in the above discussion, we have seen that baryons and photons both do receive heating, +but react differently to it. In addition, there are some sources of spectral distortions that do not +come from injected (and deposited) energy, usually related to the interactions of baryons and +photons. This includes + 1) Adiabatically cooling electrons and barions during the thermal history as photons and baryons are + coupled due to Compton scattering (see Chluba & Sunyaev 2012, Khatri, Sunyaev & Chluba 2012 for + useful discussions) + 2) Dissipation of acoustic waves, a second order contribution evaluated only after the perturbations + have been found, with two possible approximations + a) Eq. 42 from Chluba, Khatri & Sunyaev 2012 (approximated to Y_SZ*S_ac) (TODO) + b) Eq. 45 from Chluba, Khatri & Sunyaev 2012 + (The user can select the preferred option with 'heating approx'=yes/no) + (see Chluba, Khatri & Sunyaev 2012 Chluba 2013 and Diacoumis & Wong 2017 for useful discussions) + 3) Cosmological recombination radiation as described in Chluba & Ali-Haimoud 2016 (TODO) + 4) Kinetic and thermal SZ effect due to reionization and LSS formation (see Nozawa et al. 2006 and + Hill et al. 2015 for useful discussions) + 5) Superposition of blackbodies, e.g. in the case of CMB multipoles +All of these additional term, which are not injected and deposited into the IGM in the usual sense, +are grouped within the module 'noninjection.c'. + +This fills a table of deposited energy in baryons split by the different effects. Additionally, a +table of deposited energy in photons is created, mostly similar to the baryon column 'heat', except +for the additional effects of non-injected terms. + +In conclusion, note that this module is in based on the public version of ExoCLASS (see +Stoecker et al. 2018) which has been mainly developed by Vivian Poulin and Patrick Stöcker. diff --git a/external/heating/example_chix_file.dat b/external/heating/example_chix_file.dat new file mode 100644 index 00000000..70043137 --- /dev/null +++ b/external/heating/example_chix_file.dat @@ -0,0 +1,24 @@ +# Example file: in this file chi(xe) is given. +# format: first line must contain the number of lines +# other lines must contain (xe, chi_heat, chi_lya, chi_ionH, chi_ionHe, chi_lowE (E < 10.2eV)) +# blank lines and lines starting with # neglected + +18 +0.000000 0.151800 0.323526 0.350798 0.024367 0.142202 +0.000100 0.151880 0.323526 0.350798 0.024367 0.142202 +0.000300 0.174825 0.308840 0.349058 0.023397 0.136233 +0.000500 0.188520 0.302591 0.345508 0.023737 0.133317 +0.001000 0.210027 0.291280 0.341822 0.023134 0.128324 +0.003000 0.258912 0.269481 0.327298 0.023415 0.118130 +0.005000 0.289871 0.256105 0.316798 0.023029 0.111856 +0.010000 0.338316 0.238304 0.301893 0.021302 0.103617 +0.030000 0.458621 0.192119 0.255925 0.018550 0.083760 +0.050000 0.531628 0.165741 0.228453 0.016601 0.072038 +0.100000 0.654816 0.121705 0.175739 0.012852 0.053388 +0.300000 0.849031 0.052273 0.083885 0.007317 0.023016 +0.500000 0.923644 0.026168 0.043901 0.004914 0.011310 +0.800000 0.975679 0.007178 0.013518 0.003640 0.003117 +0.900000 0.987026 0.003234 0.006406 0.003223 0.001417 +0.990000 0.995299 0.000290 0.001700 0.002924 0.000118 +1.100000 1.000000 0.000000 0.000000 0.000000 0.000000 +1.200000 1.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/external/heating/example_chiz_file.dat b/external/heating/example_chiz_file.dat new file mode 100644 index 00000000..32c787df --- /dev/null +++ b/external/heating/example_chiz_file.dat @@ -0,0 +1,109 @@ +# Example file: in this file chi(z) is given. +# format: first line must contain the number of lines +# other lines must contain (z, chi_heat, chi_lya, chi_ionH, chi_ionHe, chi_lowE (E < 10.2eV)) +# blank lines and lines starting with # neglected +# Need z from 0 to 10000 for safe computation! Here a trivial extrapolation (harmless) is used above 2000 and below 10. + +102 +0. 0.00008298000939024192 0 0.0002309615268354069 0 0.0002931866820178415 +0.07897231140192718 0.00009244147771190732 0 0.00027647932189370054 0 0.0002958624310928264 +0.16418124877201734 0.00010266115568958187 0 0.0003256466370120184 0 0.0002988304050605293 +0.25611933287832556 0.00011370069782824961 0 0.00037876051429693025 0 0.00030212686378116096 +0.3553179799923736 0.0001256269112715723 0 0.0004361428581860314 0 0.0003057930686530723 +0.4623505735569622 0.00013851220721155036 0 0.0004981426177355416 0 0.00030987602189322914 +0.5778357784306893 0.00015243509472078788 0 0.0005651381741839188 0 0.00031442931900525686 +0.7024411168660198 0.00016748072133364366 0 0.0006375399546429475 0 0.00031951413193076483 +0.836886826890608 0.00018374146516953122 0 0.0007157932949793579 0 0.0003252003430529284 +0.9819500253939111 0.00020131758390730262 0 0.0008003815773797284 0 0.00033156785328938756 +1.1384691999823762 0.00022031792648717283 0 0.0008918296707485195 0 0.0003387080910273914 +1.3073490555668146 0.0002408607140394316 0 0.0009907077049833464 0 0.0003467257526782513 +1.4895657436959797 0.00026307439721934755 0 0.0010976352133043373 0 0.0003557408102260358 +1.686172504862709 0.00028709859786677254 0 0.0012132856801803874 0 0.0003658908263911194 +1.8983057563960215 0.00031308514370695026 0 0.0013383915359813908 0 0.00037733362400007697 +2.127191661128126 0.0003411992056629172 0 0.0014737496432557125 0 0.0003902503629369426 +2.374153214804246 0.00037162054825494277 0 0.001620227323441692 0 0.00040484908573605247 +2.640617893201581 0.00040454490450743353 0 0.0017787689767837563 0 0.00042136880155975963 +2.9281259031589246 0.00044018548775385125 0 0.0019504033521276984 0 0.00044008418808149687 +3.2383390852091667 0.0004787746537003859 0 0.002136251526944636 0 0.00046131100176198363 +3.5730505192732647 0.0005205657270450921 0 0.0023375356611486653 0 0.00048541229925406874 +3.934194888938057 0.0005658350078017833 0 0.0025555885907126985 0 0.0005128055862776522 +4.32385966422507 0.000614883973179408 0 0.0027918643283184937 0 0.0005439710253275797 +4.744297167488412 0.0006680416913259822 0 0.003047949537727879 0 0.0005794608500385746 +5.197937592184515 0.0007256674633373645 0 0.003325576045468341 0 0.0006199101519067623 +5.687403049764222 0.0007881537094901793 0 0.003626634446781551 0 0.00066604922426139 +6.2155227258804 0.0008559291144666955 0 0.003953188851271242 0 0.0007187176686966786 +6.785349233516308 0.000929462044110242 0 0.004307492795585491 0 0.000778880490279191 +7.4001762575583125 0.0010092642426072947 0 0.0046920063235452655 0 0.0008476464292196846 +8.063557592801285 0.0010958948134481737 0 0.005109414195493841 0 0.0009262887975675783 +8.779327685429287 0.0011899644794381248 0 0.005562645134558152 0 0.0010162691087424202 +9.551623796704499 0.0012921401055954378 0 0.006054891943180426 0 0.001119263803807012 +10.384909916973829 0.0014031494529268174 0 0.006589632222528474 0 0.0012371943891734908 +11.284002568219973 0.0015237861094550866 0 0.0071706492923236265 0 0.0013722613030137444 +12.254098644299518 0.0016549145157486677 0 0.007802052729127986 0 0.0015269818181193585 +13.300805449788998 0.0017974749633366315 0 0.008488297704301692 0 0.0017042322621304276 +14.430173111068116 0.001952488392937797 0 0.009234201992219757 0 0.0019072947850601115 +15.648729546981027 0.002121060751751274 0 0.01004495911397239 0 0.002139908819857402 +16.963518201211674 0.002304386580515706 0 0.010926145555012774 0 0.0024063272525720876 +18.382138754471956 0.002503751385748511 0 0.011883719313201743 0 0.002711377129146651 +19.912791051825472 0.0027205322030288102 0 0.012924006153454742 0 0.0030605244560271095 +21.564322499053663 0.002956195563869053 0 0.014053668812221375 0 0.0034599422758865173 +23.34627920202245 0.0032122918295527246 0 0.015279652940260931 0 0.003916580684563581 +25.268961144642823 0.0034904264015330633 0 0.016609001646546374 0 0.004438236758102562 +27.343481724362675 0.003791976240980665 0 0.018047260134310142 0 0.005033621424704347 +29.581831989313887 0.004119173710239304 0 0.019604419959035408 0 0.005712419075234739 +31.9969499484154 0.0044740414433554155 0 0.021288998750760662 0 0.006485334067901652 +34.60279535505547 0.00485857619228581 0 0.023108799926817913 0 0.007364116133201741 +37.41443039661399 0.005275130527587247 0 0.02507373635240787 0 0.00836155387816357 +40.44810675622304 0.005726031219271708 0 0.02719307704622403 0 0.009490644936717283 +43.72135954999582 0.006213687977730058 0 0.029476104268662606 0 0.010765394937803959 +47.25310868269563 0.006740762178228538 0 0.031933064917830524 0 0.012203527827741452 +51.06376820769652 0.007309864754061432 0 0.0345734107191455 0 0.01382205351472311 +55.175364323352476 0.007923837009434177 0 0.03740734976170481 0 0.015637829224021092 +59.61166268781297 0.008585453666080834 0 0.04044412947416106 0 0.01766934120035025 +64.39830578818352 0.0092978680785761 0 0.043694413626346455 0 0.01993702729243613 +69.56296115804639 0.010063985523117503 0 0.047166866637407226 0 0.022461724053670355 +75.1354813000617 0.010886682226657939 0 0.05086925650092962 0 0.02526485990650379 +81.14807623802581 0.011769351451148585 0 0.054811244175868155 0 0.028368367978230863 +87.63549969576442 0.012714676214831657 0 0.05899802389084414 0 0.0317947145627929 +94.63524997900373 0.013726053415028042 0 0.06343735294946465 0 0.03556634598409841 +102.18778672134678 0.014806093905824777 0 0.06813224455977471 0 0.0397050285837142 +110.33676474718067 0.0159580073028661 0 0.07308730115928905 0 0.044233170011374806 +119.12928640327804 0.0171849961695867 0 0.07830585445231797 0 0.04916966777416149 +128.61617381760905 0.018489299830567754 0 0.08378671476730662 0 0.054534605319367886 +138.85226265905965 0.019873284637047205 0 0.08952663599211724 0 0.060344048082229214 +149.8967190960349 0.021340841284609974 0 0.09552312640137643 0 0.066611686967961 +161.81338178601615 0.022894522763382656 0 0.10176718806861099 0 0.07334819528633679 +174.67113087282232 0.024537597559611986 0 0.10824855123162734 0 0.08055367957366255 +188.54428612443942 0.026273966859814084 0 0.11495165226036896 0 0.08822510129183832 +203.51303651271468 0.02810706377899008 0 0.12186078357987902 0 0.09636550707368242 +219.66390371795057 0.030038995754633223 0 0.12896524661412437 0 0.10497418372391203 +237.0902422375295 0.03207206165683373 0 0.13624641832113374 0 0.11403914464853782 +255.8927789892718 0.034206181323650706 0 0.1436809534281429 0 0.12354414672885777 +276.1801955285191 0.03644683342148828 0 0.15124316239389007 0 0.13346787763954243 +298.06975624424445 0.03879872652065524 0 0.15890512973282342 0 0.14378514956242305 +321.6879861652631 0.04126783001274004 0 0.16663626518984842 0 0.15446495971231036 +347.17140229436717 0.04386506837224188 0 0.17440220224702996 0 0.1654727173463637 +374.6673026976037 0.046596021976640714 0 0.18217793318011624 0 0.17676923816800724 +404.3346179097606 0.04949328124166339 0 0.18986243228698393 0 0.18831003759948653 +436.34482957731154 0.05261896391126268 0 0.1972727368592503 0 0.2000410351365351 +470.8829616487139 0.055990836483365024 0 0.20444365677629706 0 0.2119153479327327 +508.1486498412994 0.05965623456750649 0 0.21135357232864846 0 0.22388812622810858 +548.3572955664374 0.06370548256245441 0 0.21792326690280656 0 0.23590191167442826 +591.7413109828309 0.06827209948259987 0 0.22406643869534115 0 0.24789976157494825 +638.5514623745531 0.07356936130727161 0 0.22950396857699293 0 0.2597245779208242 +689.0583196187545 0.08011198443266475 0 0.23363434302425687 0 0.2712518445190618 +743.5538201211775 0.08947566135337365 0 0.23544133116196347 0 0.2821419497987387 +802.3529562592811 0.10429283947067124 0 0.23300140408261735 0 0.2913228702252636 +865.7955960866481 0.13000252037627508 0 0.22096488190633362 0 0.2987167658281109 +934.2484478226222 0.17258282253430768 0 0.1962433850873816 0 0.30127186918702764 +1008.1071794822396 0.2352905455635506 0 0.15494436605735734 0 0.2968383757503321 +1087.7987058982308 0.31197260349190387 0 0.10863584324939154 0 0.28508527617259416 +1173.7836563544415 0.38844386761125177 0 0.06692524354271596 0 0.2684835587550191 +1266.5590370939594 0.4534524257991063 0 0.035893263699073925 0 0.2516382142977336 +1366.6611040916696 0.5033802154307488 0 0.01705341465007967 0 0.2394607366933311 +1474.6684626963008 0.5348291111179577 0 0.006990978573354187 0 0.23537486488162737 +1591.2054120583568 0.5475967511036876 0 0.004572221048757058 0 0.2400864393352767 +1716.9455536752619 0.5616608266168883 0 0.004601101045799999 0 0.24757051731523091 +1852.6156849116614 0.5919687998370227 0 0.005254210750604964 0 0.25757843532085406 +1999.0000000000023 0.583725291760787 0 0.006096255991369276 0 0.26906393227860087 +10000000 0.583725291760787 0 0.006096255991369276 0 0.2690639322786008 diff --git a/external/heating/example_f_eff_file.dat b/external/heating/example_f_eff_file.dat new file mode 100644 index 00000000..ef07c6c9 --- /dev/null +++ b/external/heating/example_f_eff_file.dat @@ -0,0 +1,70 @@ +# Example file: in this file f(z) is given. +# format: first line must contain the number of lines +# other lines must contain (z,f(z)) +# blank lines and lines starting with # neglected +# Need z from 0 to 10000 for safe computation! Here a trivial extrapolation (harmless) is used above 2000 and below 10. + +63 +0. 3.e-10 +11.000000000000002 3.084972202255457e-10 +12.068088246913037 3.978791988191501e-10 +13.231244202425561 5.138113937162311e-10 +14.49792959172223 6.644780638841686e-10 +15.877359295755927 8.605846783366172e-10 +17.37956838764971 1.116464681376404e-9 +19.015485135831636 1.451006446811537e-9 +20.797010504985334 1.8894620351333137e-9 +22.7371047331699 2.465269362462752e-9 +24.849881614940127 3.223656038235304e-9 +27.150711176357703 4.225022652779557e-9 +29.656331488833644 5.550935817902133e-9 +32.384970435224744 7.310730399611411e-9 +35.35647831400831 9.653862462733727e-9 +38.592472246203386 1.2783991835656866e-8 +42.116493435570106 1.698085517239708e-8 +45.954178426123086 2.2626856096315308e-8 +50.133445602823066 3.0248858977200705e-8 +54.684698292201595 4.0562078150374726e-8 +59.641045940434836 5.454923936674551e-8 +65.03854497789253 7.356859390916113e-8 +70.91646112240298 9.950558510982308e-8 +77.31755502943771 1.349849400734456e-7 +84.28839336726332 1.8366055236392298e-7 +91.87968758006919 2.506258262689231e-7 +100.14666280350478 3.429991722220346e-7 +109.14945961641307 4.708424198736279e-7 +118.95357155142247 6.483509608204824e-7 +129.63032154719883 8.955913997474256e-7 +141.25738080845164 1.240983733969417e-6 +153.91933384829673 1.7254984557644928e-6 +167.7082938235436 2.407866081639907e-6 +182.72457263935013 3.3730331737620206e-6 +199.07741069811763 4.743836517891579e-6 +216.8857716014053 6.701707971196824e-6 +236.2792075861588 9.513608721673689e-6 +257.3988019911267 0.000013578474420414527 +280.398195609721 0.00001948954120221372 +305.4447043958275 0.000028155250042115997 +332.7205366536544 0.00004096104823841543 +362.42411856642804 0.00006006319352309556 +394.771537706889 0.00008880909320592228 +429.9981150308413 0.00013255545092648248 +468.3601167896841 0.00019988467344594297 +510.1366188157501 0.0003048397036999258 +555.6315367427483 0.00047054270123739574 +605.1758369307541 0.0007360359487015767 +659.1299441797885 0.0011680919279232255 +717.8863637476051 0.0018831776763744811 +781.8725367463431 0.0030879252968815875 +851.553949690491 0.005159073439483153 +927.4375208174661 0.008804226304906732 +1010.0752878156504 0.015385370425962467 +1100.0684237873274 0.0274800199580384 +1198.0716106618518 0.049625623024578756 +1304.7978018747704 0.089047316526662 +1421.023408960379 0.15674290862682624 +1547.5939497891964 0.269833416605684 +1685.430199540071 0.44850331449745534 +1835.5348891540655 0.7211869382413879 +1999.0000000000002 1.1267655529852527 +10000000. 1.1267655529852527 diff --git a/external/heating/injection.c b/external/heating/injection.c new file mode 100644 index 00000000..788d9385 --- /dev/null +++ b/external/heating/injection.c @@ -0,0 +1,1436 @@ +/** @file injection.c Documented exotic energy injection module + * + * written by Nils Schoeneberg and Matteo Lucca, 27.02.2019 + * + * The main goal of this module is to calculate the deposited energy in form of heating, ionization + * and Lyman alpha processes from exotic energy injection processes. + * For more details see the description in the README file. + */ +#include "injection.h" +#include "thermodynamics.h" + +/** + * Initialize injection structure. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @return the error status + */ +int injection_init(struct precision * ppr, + struct background* pba, + struct thermodynamics* pth){ + + /** Summary: */ + + /** - Define local variable */ + struct injection* pin = &(pth->in); + int index_inj, index_dep; + + /** - Initialize flags, indices and parameters */ + pin->has_DM_ann = _FALSE_; + pin->has_DM_dec = _FALSE_; + pin->has_PBH_eva = _FALSE_; + pin->has_PBH_acc = _FALSE_; + pin->last_index_x_chi = 0; + pin->last_index_z_chi = 0; + pin->last_index_z_feff = 0; + + /** - Import quantities from other structures */ + /* Precision structure */ + pin->Nz_size = ppr->thermo_Nz_lin; + pin->z_initial = ppr->thermo_z_initial; + pin->z_start_chi_approx = ppr->z_start_chi_approx; + pin->Nz_PBH = ppr->primordial_black_hole_Nz; + + /* Background structure */ + pin->H0 = pba->H0*_c_/_Mpc_over_m_; // [1/s] + pin->T_g0 = pba->T_cmb; // [K] + pin->Omega0_b = pba->Omega0_b; // [-] + pin->Omega0_cdm = pba->Omega0_cdm; // [-] + pin->rho0_cdm = pba->Omega0_cdm*pow(pin->H0,2)*3/8./_PI_/_G_*_c_*_c_; // [J/m^3] + + /* Thermodynamics structure */ + pin->fHe = pth->fHe; // [-] + pin->N_e0 = pth->n_e; // [1/m^3] + + /** - Define redshift tables */ + pin->z_size = pth->tt_size; + class_alloc(pin->z_table, + pin->z_size*sizeof(double), + pin->error_message); + memcpy(pin->z_table, + pth->z_table, + pin->z_size*sizeof(double)); + + /** - Define additional book-keeping variables for the z table */ + pin->tol_z_table = 1e-10; + pin->filled_until_index_z = pin->z_size-1; + pin->filled_until_z = pin->z_table[pin->filled_until_index_z]; + pin->last_index_z_chi = 0; + pin->last_index_z_feff = 0; + pin->last_index_z_inj = 0; + pin->last_index_z = 0; + pin->index_z_store = 0; + + /** - Define indices of tables */ + pin->to_store = _FALSE_; + class_call(injection_indices(pth), + pin->error_message, + pin->error_message); + + /** - Initialize energy injection table */ + /* Allocate space */ + class_alloc(pin->injection_table, + pin->inj_size*sizeof(double*), + pin->error_message); + for(index_inj=0; index_injinj_size; ++index_inj){ + class_alloc(pin->injection_table[index_inj], + pin->z_size*sizeof(double), + pin->error_message); + } + + /* Calculate the PBH mass evolution, if needed */ + if(pin->has_PBH_eva == _TRUE_ ){ + class_call(injection_rate_PBH_evaporation_mass_evolution(pba,pin), + pin->error_message, + pin->error_message); + } + + /** - Initialize injection efficiency */ + /* Read from external file, if needed */ + if(pin->f_eff_type == f_eff_from_file){ + class_call(injection_read_feff_from_file(ppr,pin, + pin->f_eff_file), + pin->error_message, + pin->error_message); + } + + /** - Initialize deposition function */ + /* Allocate space */ + class_alloc(pin->chi, + pin->dep_size*sizeof(double), + pin->error_message); + + /* Read from external file, if needed */ + if(pin->chi_type == chi_Galli_file){ + class_call(injection_read_chi_x_from_file(ppr,pin, + ppr->chi_z_Galli), + pin->error_message, + pin->error_message); + } + else if(pin->chi_type == chi_from_x_file){ + class_call(injection_read_chi_x_from_file(ppr,pin, + pin->chi_x_file), + pin->error_message, + pin->error_message); + } + else if(pin->chi_type == chi_from_z_file){ + class_call(injection_read_chi_z_from_file(ppr,pin, + pin->chi_z_file), + pin->error_message, + pin->error_message); + } + + /** - Initialize energy deposition table */ + /* Allocate space */ + class_alloc(pin->deposition_table, + pin->dep_size*sizeof(double*), + pin->error_message); + for(index_dep=0; index_depdep_size; ++index_dep){ + class_alloc(pin->deposition_table[index_dep], + pin->z_size*sizeof(double), + pin->error_message); + } + + class_alloc(pin->pvecdeposition, + pin->dep_size*sizeof(double), + pin->error_message); + + return _SUCCESS_; +} + + +/** + * Initialize indices of injection table. + * + * @param pth Input: pointer to thermodynamics structure + * @return the error status + */ +int injection_indices(struct thermodynamics* pth){ + + /** - Define local variables */ + struct injection* pin = &(pth->in); + int index_dep,index_inj; + + /* Check energy injection */ + if(pin->DM_annihilation_efficiency!=0){ + pin->has_DM_ann = _TRUE_; + } + if(pin->DM_decay_fraction!=0){ + pin->has_DM_dec = _TRUE_; + } + if(pin->PBH_evaporation_fraction!=0){ + pin->has_PBH_eva = _TRUE_; + } + if(pin->PBH_accretion_fraction!=0){ + pin->has_PBH_acc = _TRUE_; + } + + /** - Indices for injection table */ + index_inj = 0; + class_define_index(pin->index_inj_DM_ann , pin->has_DM_ann , index_inj, 1); + class_define_index(pin->index_inj_DM_dec , pin->has_DM_dec , index_inj, 1); + class_define_index(pin->index_inj_PBH_eva , pin->has_PBH_eva , index_inj, 1); + class_define_index(pin->index_inj_PBH_acc , pin->has_PBH_acc , index_inj, 1); + class_define_index(pin->index_inj_tot , _TRUE_ , index_inj, 1); + pin->inj_size = index_inj; + + /** - Indices for deposition (and chi) table */ + index_dep = 0; + class_define_index(pin->index_dep_heat , _TRUE_, index_dep, 1); + class_define_index(pin->index_dep_ionH , _TRUE_, index_dep, 1); + class_define_index(pin->index_dep_ionHe, _TRUE_, index_dep, 1); + class_define_index(pin->index_dep_lya , _TRUE_, index_dep, 1); + class_define_index(pin->index_dep_lowE , _TRUE_, index_dep, 1); + pin->dep_size = index_dep; + + return _SUCCESS_; +} + + +/** + * Free allocated public variables and tables. + * + * @param pth Input: pointer to thermodynamics structure + * @return the error status + */ +int injection_free(struct thermodynamics* pth){ + + /** - Define local variables */ + struct injection* pin = &(pth->in); + int index_inj, index_dep; + + /* Redshift */ + free(pin->z_table); + + /* Energy injection */ + for(index_inj=0;index_injinj_size;++index_inj){ + free(pin->injection_table[index_inj]); + } + free(pin->injection_table); + + if(pin->has_PBH_eva==_TRUE_){ + free(pin->PBH_table_z); + free(pin->PBH_table_mass); + free(pin->PBH_table_mass_dd); + free(pin->PBH_table_F); + free(pin->PBH_table_F_dd); + } + + /* Injection efficiency */ + if(pin->f_eff_type == f_eff_from_file){ + free(pin->feff_table); + } + if(pin->chi_type == chi_from_z_file){ + free(pin->chiz_table); + } + if(pin->chi_type == chi_from_x_file || pin->chi_type == chi_Galli_file){ + free(pin->chix_table); + } + + /* Deposition function */ + free(pin->chi); + + /* Energy deposition */ + for(index_dep=0;index_depdep_size;++index_dep){ + free(pin->deposition_table[index_dep]); + } + free(pin->deposition_table); + free(pin->pvecdeposition); + + return _SUCCESS_; +} + + +/** + * Calculate the injection (first order only) at the given redshift. + * the results are stored in the deposition vector + * pth->pin->pvecdeposition, and if pin->to_store is set to true, also + * in one line of the table pth->pin->deposition_table, which can + * later be used to interpolate. + * + * @param pba Input: pointer to background structure + * @param pth Input/output: pointer to thermodynamics structure + * @param x Input: freaction of free electrons + * @param z Input: redshift + * @param pvecback Input: vector of background quantities + * @return the error status + */ +int injection_calculate_at_z(struct background* pba, + struct thermodynamics* pth, + double x, + double z, + double Tmat, + double* pvecback){ + + /** - Define local variables */ + struct injection * pin = &(pth->in); + int index_dep; + double h,a,b; + double dEdt_inj; + + /** - Store input parameters in struct */ + pin->T_b = Tmat; // [K] + pin->x_e = x; // [-] + pin->nH = pin->N_e0*pow(1.+z,3); // [1/m^3] + pin->heat_capacity = (3./2.)*_k_B_*pin->nH*(1.+pin->fHe+pin->x_e); // [J/(K m^3)] + dEdt_inj = 0.; + + /** - Import varying quantities from background structure, convert to SI units */ + pin->H = pvecback[pba->index_bg_H]*_c_/_Mpc_over_m_; // [1/s] + pin->a = pvecback[pba->index_bg_a]; // [-] + pin->t = pvecback[pba->index_bg_time]/_s_over_Mpc_; // [s] + pin->rho_cdm = pvecback[pba->index_bg_rho_cdm]*_Jm3_over_Mpc2_; // [J/m^3] + pin->rho_g = pvecback[pba->index_bg_rho_g]*_Jm3_over_Mpc2_; // [J/m^3] + pin->rho_b = pvecback[pba->index_bg_rho_b]*_Jm3_over_Mpc2_; // [J/m^3] + + /** - Hunt within the redshift table for the given index of deposition */ + class_call(array_spline_hunt(pin->z_table, + pin->z_size, + z, + &(pin->index_z_store), + &h,&a,&b, + pin->error_message), + pin->error_message, + pin->error_message); + + /** - Test if and where the new values should be stored in the injection table */ + /* If this value is important, store it */ + if(pin->to_store == _TRUE_){ + /* Calculate where to store the value */ + if(fabs(b-1) < pin->tol_z_table){ + pin->index_z_store = pin->index_z_store+1; + } + else if(fabs(b) < pin->tol_z_table){ + pin->index_z_store = pin->index_z_store; + } + /* Could not find a matching index in the z table for this z */ + else{ + class_stop(pin->error_message, + "Should store z = %.10e, but it was not in the z table (next lower = %.10e , next higher = %.10e )", + pin->z_table[pin->index_z_store], pin->z_table[pin->index_z_store+1]); + } + } + + /** - Get the injected energy that needs to be deposited (i.e. excluding adiabatic terms) */ + class_call(injection_energy_injection_at_z(pin, + z, + &dEdt_inj), + pin->error_message, + pin->error_message); + + /** - Get the deposition and the efficiency functions */ + class_call(injection_deposition_function_at_z(pin, + x, + z), + pin->error_message, + pin->error_message); + + /** - Put result into deposition vector */ + for(index_dep = 0; index_dep < pin->dep_size; ++index_dep){ + pin->pvecdeposition[index_dep] = pin->chi[index_dep]*dEdt_inj; + } + + /** - Store z values in table */ + if(pin->to_store == _TRUE_){ + for(index_dep = 0; index_dep < pin->dep_size; ++index_dep){ + pin->deposition_table[index_dep][pin->index_z_store] = pin->pvecdeposition[index_dep]; + } + + class_test(pin->index_z_store < pin->filled_until_index_z-1, + pin->error_message, + "Skipping too far ahead in z_table. Check that the injection and thermodynamics module agree in their z sampling."); + pin->filled_until_index_z = pin->index_z_store; + pin->filled_until_z = pin->z_table[pin->index_z_store]; + } + + pin->to_store = _FALSE_; + + return _SUCCESS_; +} + + +/** + * Calculate energy injection at given redshift. + * + * @param pin Input: pointer to injection structure + * @param z Input: redshift + * @param dEdt_inj Output: injected energy + * @return the error status + */ +int injection_energy_injection_at_z(struct injection* pin, + double z, + double* dEdt_inj){ + + /** - Define local variable */ + double dEdt, rate; + double h,a,b; + int index_inj; + + /* Initialize local variables */ + dEdt = 0.; + + /** - Test if the values are already within the table */ + if(z > pin->filled_until_z){ + /* If the value is already within the table, just interpolate */ + class_call(array_spline_hunt(pin->z_table, + pin->z_size, + z, + &(pin->last_index_z_inj), + &h,&a,&b, + pin->error_message), + pin->error_message, + pin->error_message); + /* (Linearly) interpolate within the table */ + for(index_inj=0; index_injinj_size; ++index_inj){ + dEdt += pin->injection_table[index_inj][pin->last_index_z_inj]*a+pin->injection_table[index_inj][pin->last_index_z_inj+1]*b; + } + + *dEdt_inj = dEdt; + + } + + else { + /** - Exotic energy injection mechanisms */ + /* DM annihilation */ + if(pin->has_DM_ann == _TRUE_){ + class_call(injection_rate_DM_annihilation(pin, + z, + &rate), + pin->error_message, + pin->error_message); + if(pin->to_store == _TRUE_){ + pin->injection_table[pin->index_inj_DM_ann][pin->index_z_store] = rate; + } + dEdt += rate; + } + + /* DM decay */ + if(pin->has_DM_dec == _TRUE_){ + class_call(injection_rate_DM_decay(pin, + z, + &rate), + pin->error_message, + pin->error_message); + if(pin->to_store == _TRUE_){ + pin->injection_table[pin->index_inj_DM_dec][pin->index_z_store] = rate; + } + dEdt += rate; + } + + /* PBH evaporation */ + if(pin->has_PBH_eva == _TRUE_){ + class_call(injection_rate_PBH_evaporation(pin, + z, + &rate), + pin->error_message, + pin->error_message); + if(pin->to_store == _TRUE_){ + pin->injection_table[pin->index_inj_PBH_eva][pin->index_z_store] = rate; + } + dEdt += rate; + } + + /* PBH matter acctretion */ + if(pin->has_PBH_acc == _TRUE_){ + class_call(injection_rate_PBH_accretion(pin, + z, + &rate), + pin->error_message, + pin->error_message); + if(pin->to_store == _TRUE_){ + pin->injection_table[pin->index_inj_PBH_acc][pin->index_z_store] = rate; + } + dEdt += rate; + } + + /** Total energy injection */ + if(pin->to_store == _TRUE_){ + pin->injection_table[pin->index_inj_tot][pin->index_z_store] = dEdt; + + class_test(pin->index_z_store < pin->filled_until_index_z-1, + pin->error_message, + "Skipping too far ahead in z_table. Check that the injection and thermodynamics modules agree in their z sampling."); + } + + *dEdt_inj = dEdt; + + } + + return _SUCCESS_; +} + + +/** + * Calculate deposition function chi and injection efficiency f_eff at given redshift. + * + * @param pin Input: pointer to injection structure + * @param x Input: fraction of free electrons + * @param z Input: redshift + * @return the error status + */ +int injection_deposition_function_at_z(struct injection* pin, + double x, + double z){ + + /** - Define local variables */ + int index_dep; + + if(z > pin->z_start_chi_approx){ + /** - In the verz early universe, whole energy goes into injection */ + pin->chi[pin->index_dep_heat] = 1.; + pin->chi[pin->index_dep_ionH] = 0.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + else{ + /** - Use the deposition factors for each channel */ + /* Old approximation from Chen and Kamionkowski */ + if(pin->chi_type == chi_CK){ + if(x<1.){ + pin->chi[pin->index_dep_heat] = (1.+2.*x)/3.; + pin->chi[pin->index_dep_ionH] = (1.-x)/3.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = (1.-x)/3.; + pin->chi[pin->index_dep_lowE] = 0.; + } + else{ + pin->chi[pin->index_dep_heat] = 1.; + pin->chi[pin->index_dep_ionH] = 0.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + } + /* Old approximation from Padmanabhan and Finkbeiner */ + else if(pin->chi_type == chi_PF){ + if(x<1.+pin->fHe){ + pin->chi[pin->index_dep_heat] = (1.+2.*x/(1+pin->fHe))/3.; + pin->chi[pin->index_dep_ionH] = (1.-x/(1+pin->fHe))/3.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = (1.-x/(1+pin->fHe))/3.; + pin->chi[pin->index_dep_lowE] = 0.; + } + else{ + pin->chi[pin->index_dep_heat] = 1.; + pin->chi[pin->index_dep_ionH] = 0.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + } + /* Coefficient as revised by Galli et al. 2013 */ + else if(pin->chi_type == chi_Galli_file){ + for(index_dep=0; index_depdep_size; ++index_dep){ + class_call(array_interpolate_spline_transposed(pin->chix_table, + pin->chix_size, + 2*pin->dep_size+1, + 0, + index_dep+1, + index_dep+pin->dep_size+1, + x, + &pin->last_index_x_chi, + &(pin->chi[index_dep]), + pin->error_message), + pin->error_message, + pin->error_message); + } + } + /* coefficient as revised by Vivian Poulin (analytical interpolation of Galli et al. 2013) */ + else if(pin->chi_type == chi_Galli_analytic){ + if(x<1.){ + pin->chi[pin->index_dep_heat] = MIN(0.996857*(1.-pow(1.-pow(x,0.300134),1.51035)),1); + pin->chi[pin->index_dep_ionH] = 0.369202*pow(1.-pow(x,0.463929),1.70237); + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + else{ + pin->chi[pin->index_dep_heat] = 1.; + pin->chi[pin->index_dep_ionH] = 0.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + } + else if(pin->chi_type == chi_full_heating){ + pin->chi[pin->index_dep_heat] = 1.; + pin->chi[pin->index_dep_ionH] = 0.; + pin->chi[pin->index_dep_ionHe] = 0.; + pin->chi[pin->index_dep_lya] = 0.; + pin->chi[pin->index_dep_lowE] = 0.; + } + /* Read file in ionization fraction */ + else if(pin->chi_type == chi_from_x_file){ + for(index_dep=0; index_depdep_size; ++index_dep){ + class_call(array_interpolate_spline_transposed(pin->chix_table, + pin->chix_size, + 2*pin->dep_size+1, + 0, + index_dep+1, + index_dep+pin->dep_size+1, + x, + &pin->last_index_x_chi, + &(pin->chi[index_dep]), + pin->error_message), + pin->error_message, + pin->error_message); + } + } + /* Read file in redshift */ + else if(pin->chi_type == chi_from_z_file){ + for(index_dep=0;index_depdep_size;++index_dep){ + class_call(array_interpolate_spline_transposed(pin->chiz_table, + pin->chiz_size, + 2*pin->dep_size+1, + 0, + index_dep+1, + index_dep+pin->dep_size+1, + z, + &pin->last_index_z_chi, + &(pin->chi[index_dep]), + pin->error_message), + pin->error_message, + pin->error_message); + } + } + else{ + class_stop(pin->error_message,"No valid deposition function has been found found."); + } + } + + /** - Read the correction factor f_eff */ + /* For the on the spot, we take the user input */ + if(pin->f_eff_type == f_eff_on_the_spot){ + // pin->f_eff has already been seet by user + } + /* For the file, read in f_eff from file and multiply */ + else if(pin->f_eff_type == f_eff_from_file){ + class_call(array_interpolate_spline_transposed(pin->feff_table, + pin->feff_z_size, + 3, + 0, + 1, + 2, + z, + &(pin->last_index_z_feff), + &(pin->f_eff), + pin->error_message), + pin->error_message, + pin->error_message); + } + /* Otherwise, something must have gone wrong */ + else{ + class_stop(pin->error_message, + "Unknown energy deposition mechanism"); + } + + /** Multiply deposition factors with overall correction factor */ + for(index_dep=0; index_depdep_size; ++index_dep){ + pin->chi[index_dep] *= pin->f_eff; + } + + return _SUCCESS_; +} + + +/** + * Interpolates deposition from precomputed table at a given value of z. + * + * @param pth Input: pointer to thermodynamics structure + * @param z Input: redshift + * @return the error status + */ +int injection_deposition_at_z(struct thermodynamics* pth, + double z){ + + /** - Define local variables */ + struct injection* pin = &(pth->in); + int index_dep; + double h,a,b; + + /** - Interpolate at required z in the table */ + class_test(z < pin->filled_until_z, + pin->error_message, + "injection is not yet calculated beyond %.10e (asked for at %.10e)",pin->filled_until_z,z); + + class_call(array_spline_hunt(pin->z_table, + pin->z_size, + z, + &(pin->last_index_z), + &h,&a,&b, + pin->error_message), + pin->error_message, + pin->error_message); + + for(index_dep=0; index_depdep_size; ++index_dep){ + pin->pvecdeposition[index_dep] = ( a*pin->deposition_table[index_dep][pin->last_index_z]+ + b*pin->deposition_table[index_dep][pin->last_index_z+1] ); + } + + return _SUCCESS_; +} + + + + +/** + * Calculate injection from DM annihilation. + * + * @param pin Input: pointer to injection structure + * @param z Input: redshift + * @param energy_rate Output: energy density injection rate + * @return the error status + */ +int injection_rate_DM_annihilation(struct injection * pin, + double z, + double * energy_rate){ + + /** - Define local variables */ + double annihilation_at_z, boost_factor; + + /** - Calculate change in the annihilation efficiency */ + if (z>pin->DM_annihilation_zmax) { + annihilation_at_z = pin->DM_annihilation_efficiency* + exp(-pin->DM_annihilation_variation*pow(log((pin->DM_annihilation_z+1.)/(pin->DM_annihilation_zmax+1.)),2)); + } + else if (z>pin->DM_annihilation_zmin) { + annihilation_at_z = pin->DM_annihilation_efficiency* + exp(pin->DM_annihilation_variation*(-pow(log((pin->DM_annihilation_z+1.)/(pin->DM_annihilation_zmax+1.)),2) + +pow(log((z+1.)/(pin->DM_annihilation_zmax+1.)),2))); + } + else { + annihilation_at_z = pin->DM_annihilation_efficiency* + exp(pin->DM_annihilation_variation*(-pow(log((pin->DM_annihilation_z+1.)/(pin->DM_annihilation_zmax+1.)),2) + +pow(log((pin->DM_annihilation_zmin+1.)/(pin->DM_annihilation_zmax+1.)),2))); + } + + /** - Calculate boost factor due to annihilation in halos */ + if(pin->DM_annihilation_z_halo > 0.){ + boost_factor = pin->DM_annihilation_f_halo * erfc((1+z)/(1+pin->DM_annihilation_z_halo)) / pow(1.+z,3); + } + else{ + boost_factor = 0; + } + + /** - Calculate injection rates */ + *energy_rate = pow(pin->rho_cdm,2.)*annihilation_at_z*(1.+boost_factor); // [J/(m^3 s)] + + return _SUCCESS_; +} + + +/** + * Calculate injection from DM decay. + * + * @param pin Input: pointer to injection structure + * @param z Input: redshift + * @param energy_rate Output: energy density injection rate + * @return the error status + */ +int injection_rate_DM_decay(struct injection * pin, + double z, + double * energy_rate){ + + /** - Calculate injection rates */ + *energy_rate = pin->rho_cdm*pin->DM_decay_fraction*pin->DM_decay_Gamma* + exp(-pin->DM_decay_Gamma*pin->t); // [J/(m^3 s)] + + return _SUCCESS_; +} + + +/** + * Determines time evolution of the primordial black hole (PBH) mass. + * The conventions adopted here are the same as in Stoecker et al. 2018. + * + * @param pba Input: pointer to background structure + * @param pin Input: pointer to thermodynamics structure + * @return the error status + */ +int injection_rate_PBH_evaporation_mass_evolution(struct background * pba, + struct injection * pin){ + + /** - Define local variables */ + double * pvecback_loop; + int last_index_back_loop; + int i_step; + double current_mass, current_pbh_temperature; + double f_EM, f_nu, f_q, f_pi, f_bos, f; + double loop_z, time_now, time_prev, dt, dlnz, lnz_ini; + + /** - Set initial parameters */ + current_mass = pin->PBH_evaporation_mass; // [g] + pin->PBH_z_evaporation = 0; + lnz_ini = log(1+pin->z_initial); + dlnz = lnz_ini/(pin->Nz_PBH-1); + loop_z = pin->z_initial*1.0001; + time_prev = 0.; // [s] + + /** - Alloate local variables */ + class_alloc(pvecback_loop, + pba->bg_size*sizeof(double), + pin->error_message); + + /** - Alloate variables for PBH mass evolution */ + class_alloc(pin->PBH_table_z, + pin->Nz_PBH*sizeof(double), + pin->error_message); + class_alloc(pin->PBH_table_mass, + pin->Nz_PBH*sizeof(double), + pin->error_message); + class_alloc(pin->PBH_table_mass_dd, + pin->Nz_PBH*sizeof(double), + pin->error_message); + class_alloc(pin->PBH_table_F, + pin->Nz_PBH*sizeof(double), + pin->error_message); + class_alloc(pin->PBH_table_F_dd, + pin->Nz_PBH*sizeof(double), + pin->error_message); + + /** - Fill tables with PBH mass evolution */ + /* For the parametrization of F(M) we follow PRD44 (1991) 376 with + * the additional modification that we dress the "free QCD-particles" + * (gluons and quarks) with an sigmoid-activation function (in log10-space: + * Mean at 0.3 GeV and a width of 0.1*"order of magnitude") and the hadrons + * with (1 - activation) to take the QCD-phase transition into account + * and to be in agreement with PRD41 (1990) 3052, where the Ansatz is taken + * that a black hole emmits those particles which appear elementary at the + * given energy. */ + for(i_step = 0; i_stepNz_PBH; i_step++) { + + /** - Find value of f(M) */ + current_pbh_temperature = 1.06e13/current_mass; // [GeV] + pin->PBH_QCD_activation = 1./(1.+exp(-(log(current_pbh_temperature)-log(0.3))/(log(10.)*0.1))); // [-] see Eq. (4.6) of Stoecker et al. 2018 + + f_EM = 2.*0.060 // gamma + +4.*0.142*exp(-(current_mass*5.11e-4)/(4.53*1.06e13)) // electron + +4.*0.142*exp(-(current_mass*0.1037)/(4.53*1.06e13)) // muon + +4.*0.142*exp(-(current_mass*1.777)/(4.53*1.06e13)); // tau + f_nu = 6.*0.147; // neutrino + f_q = (12.*0.142*(exp(-(current_mass*2.2e-3)/(4.53*1.06e13)) // u + +exp(-(current_mass*4.7e-3)/(4.53*1.06e13)) // d + +exp(-(current_mass*1.28)/(4.53*1.06e13)) // c + +exp(-(current_mass*9.6e-2)/(4.53*1.06e13)) // s + +exp(-(current_mass*173.1)/(4.53*1.06e13)) // t + +exp(-(current_mass*4.18)/(4.53*1.06e13)) // b + ) + +16.*0.060*exp(-(current_mass*6e-1)/(6.04*1.06e13)) // g + )*pin->PBH_QCD_activation; + f_pi = (1.*0.267*exp(-(current_mass*1.350e-1)/(2.66*1.06e13)) // pi^0 + +2.*0.267*exp(-(current_mass*1.396e-1)/(2.66*1.06e13)) // pi^+ + )*(1-pin->PBH_QCD_activation); + f_bos = 6.*0.060*exp(-(current_mass*80.39)/(6.04*1.06e13)) // W + +3.*0.060*exp(-(current_mass*91.19)/(6.04*1.06e13)) // Z + +1.*0.267*exp(-(current_mass*125.1)/(2.66*1.06e13)); // h + f = f_EM+f_nu+f_q+f_pi+f_bos; + + /** - Find current time value */ + class_call(background_at_z(pba, + loop_z, + long_info, + inter_normal, + &last_index_back_loop, + pvecback_loop), + pba->error_message, + pin->error_message); + time_now = pvecback_loop[pba->index_bg_time]/(_c_/_Mpc_over_m_); // [s] + dt = time_now-time_prev; + time_prev = time_now; + + if (i_step > 0) { + //TODO :: check this step + if (current_mass > 0.5*pin->PBH_evaporation_mass){ + current_mass = current_mass-5.34e25*f*pow(current_mass,-2)*dt; // [g] + } + else { + if(pin->PBH_z_evaporation == 0){ + pin->PBH_z_evaporation = loop_z; + } + current_mass = 0.; + f = 0.; + } + } + + /** - Fill tables */ + pin->PBH_table_z[i_step] = loop_z; + pin->PBH_table_mass[i_step] = current_mass; // [g] + pin->PBH_table_F[i_step] = f; // [-] + loop_z = exp(lnz_ini-dlnz*(i_step+1))-1.; + + } + + /** - Free local variables */ + free(pvecback_loop); + + /** - Spline mass and F(M) evolution in z */ + class_call(array_spline_table_lines(pin->PBH_table_z, + pin->Nz_PBH, + pin->PBH_table_mass, + 1, + pin->PBH_table_mass_dd, + _SPLINE_NATURAL_, + pin->error_message), + pin->error_message, + pin->error_message); + class_call(array_spline_table_lines(pin->PBH_table_z, + pin->Nz_PBH, + pin->PBH_table_F, + 1, + pin->PBH_table_F_dd, + _SPLINE_NATURAL_, + pin->error_message), + pin->error_message, + pin->error_message); + + return _SUCCESS_; +} + + +/** + * Calculate injection from PBH evaporation + * The conventions adopted here are the same as in Stoecker et al. 2018. + * + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param z Input: redshift + * @param energy_rate Output: energy density injection rate + * @return the error status + */ +int injection_rate_PBH_evaporation(struct injection * pin, + double z, + double * energy_rate){ + + /** - Define local variables */ + int last_index_back; + double mass, f; + double dMdt, f_em; + + /** - Interpolate the PBH mass evolution */ + class_call(array_interpolate_spline(pin->PBH_table_z, + pin->Nz_PBH, + pin->PBH_table_mass, + pin->PBH_table_mass_dd, + 1, + z, + &last_index_back, + &mass, // [g] + 1, + pin->error_message), + pin->error_message, + pin->error_message); + + class_call(array_interpolate_spline(pin->PBH_table_z, + pin->Nz_PBH, + pin->PBH_table_F, + pin->PBH_table_F_dd, + 1, + z, + &last_index_back, + &f, // [-] + 1, + pin->error_message), + pin->error_message, + pin->error_message); + + /** - Calculate injection rates */ + if(mass <= 0.0001*pin->PBH_evaporation_mass || f <= 0 || z < pin->PBH_z_evaporation){ + *energy_rate = 0.; // [J/(m^3 s)] + } + else { + dMdt=5.34e25*f*pow(mass,-2.); // [g/s] + f_em = 0.55*pin->PBH_QCD_activation+(1-pin->PBH_QCD_activation)*(f-6.*0.147)/f; // [-] + *energy_rate = pin->rho_cdm*pin->PBH_evaporation_fraction*f_em*dMdt/pin->PBH_evaporation_mass; // [J/(m^3 s)] + } + + return _SUCCESS_; +} + + +/** + * Calculate injection from PBH matter accretion + * + * @param pin Input: pointer to injection structure + * @param z Input: redshift + * @param energy_rate Output: energy density injection rate + * @return the error status + */ +int injection_rate_PBH_accretion(struct injection * pin, + double z, + double * energy_rate){ + + /** - Define local variables */ + double L_ed, M_ed_dot, M_crit, v_B, v_l, v_eff, r_B, t_B; + double lambda, M_b_dot; + double Value_min, Value_med, Value_max, a=0, epsilon_0=0.1, epsilon; + double L_acc; + double beta_compton_drag, gamma_cooling, tau_cooling; + double T_ion, T_s, Y_s, theta_s; + double lambda_1, lambda_2, lambda_ad, lambda_iso, J; + + /** - Initialize local variables */ + /* Eddington luminosity */ + L_ed = 4.*_PI_*_G_*(pin->PBH_accretion_mass*_Sun_mass_)*_m_p_/_sigma_*_c_; // [W] + M_ed_dot= 10.*L_ed/pow(_c_,2.); // [kg/s] + M_crit = 0.01*M_ed_dot; // [kg/s] + + /* Boldi definitions */ + v_B = sqrt((1.+pin->x_e)*(pin->T_b*_k_B_)/(_m_p_*pow(_c_,2.)))*_c_; // [m/s] + if(pin->PBH_accretion_relative_velocities < 0.){ + v_l = 30.*MIN(1.,(1.+z)/1.e3)*1.e3; // [m/s] + if(v_B < v_l){ + v_eff = sqrt(v_B*v_l); // [m/s] + } + else{ + v_eff = v_B; // [m/s] + } + } + else{ + v_l = pin->PBH_accretion_relative_velocities*1.e3; // [m/s] + v_eff = pow(v_l*v_l+v_B*v_B,0.5); // [m/s] + } + r_B = _G_*(pin->PBH_accretion_mass*_Sun_mass_)/pow(v_eff,2.); // [m] + t_B = _G_*(pin->PBH_accretion_mass*_Sun_mass_)/pow(v_eff,3.); // [s] + + switch(pin->PBH_accretion_recipe){ + /** - Disk accretion from Poulin et al. 1707.04206 */ + case disk_accretion: + + lambda = pin->PBH_accretion_eigenvalue; // [-] + M_b_dot = 4.*_PI_*lambda*(pin->rho_b/pow(_c_,2.))*pow(r_B,2.)*v_eff; // [kg/s] + + if(pin->PBH_accretion_ADAF_delta == 1e-3){ + Value_min = 7.6e-5; + Value_med = 4.5e-3; + Value_max = 7.1e-3; + if(M_b_dot/M_ed_dot <= Value_min){ + epsilon_0 = 0.065; + a = 0.71; + } + else if(Value_min < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_med){ + epsilon_0 = 0.020; + a = 0.47; + } + else if(Value_med < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_max){ + epsilon_0 = 0.26; + a = 3.67; + } + else{ + epsilon_0 = 0.1; + a = 0.; + } + } + else if(pin->PBH_accretion_ADAF_delta == 0.1){ + Value_min = 9.4e-5; + Value_med = 5e-3; + Value_max = 6.6e-3; + if(M_b_dot/M_ed_dot <= Value_min){ + epsilon_0 = 0.12; + a = 0.59; + } + else if(Value_min < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_med){ + epsilon_0 = 0.026; + a = 0.27; + } + else if(Value_med < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_max){ + epsilon_0 = 0.50; + a = 4.53; + } + else{ + epsilon_0 = 0.1; + a = 0.; + } + } + else if (pin->PBH_accretion_ADAF_delta == 0.5){ + Value_min = 2.9e-5; + Value_med = 3.3e-3; + Value_max = 5.3e-3; + if(M_b_dot/M_ed_dot <= Value_min){ + epsilon_0 = 1.58; + a = 0.65; + } + else if(Value_min < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_med){ + epsilon_0 = 0.055; + a = 0.076; + } + else if(Value_med < M_b_dot/M_ed_dot && M_b_dot/M_ed_dot <= Value_max){ + epsilon_0 = 0.17; + a = 1.12; + } + else{ + epsilon_0 = 0.1; + a = 0.; + } + } + + epsilon = epsilon_0*pow(M_b_dot/M_crit,a); // [-] + L_acc = epsilon*M_b_dot*pow(_c_,2.); // [W] + break; + + /** - Spherical accretion from Ali-Haimoud et al. 1612.05644 */ + case spherical_accretion: + + beta_compton_drag = 4./3.*pin->x_e*_sigma_*pin->rho_g*t_B/_m_p_/_c_; // [-] Eq. (7) + gamma_cooling = 2.*(_m_p_/_m_e_)/(1+pin->x_e)*beta_compton_drag; // [-] Eq. (8) + tau_cooling = 1.5/(5.+pow(gamma_cooling,2./3.)); // [-] Eq. (28) + + lambda_ad = 0.25*pow(3./5.,1.5); // [-] Eq. (15) + lambda_iso = 0.25*exp(1.5); // [-] Eq. (20) + lambda_1 = lambda_ad+(lambda_iso-lambda_ad)* + pow(pow(gamma_cooling,2.)/(88.+pow(gamma_cooling,2.)),0.22); // [-] Eq. (27) + lambda_2 = exp(4.5/(3.+pow(beta_compton_drag,0.75)))/(pow(pow(1.+beta_compton_drag,0.5)+1.,2.));// [-] Eq. (32) + lambda = lambda_1*lambda_2/lambda_iso; // [-] Eq. (33) + + T_ion = 1.5e4*_eV_over_Kelvin_; // [eV] see line below Eq. (39) + Y_s = pow((1.+pin->x_e)/2.,2./3.*13.6/T_ion)* + tau_cooling/4.*pow(1.-5./2.*tau_cooling,1./3.)*(_m_p_/_m_e_); // [-] Eq. (51) + T_s = _m_e_*pow(_c_,2.)/_k_B_*Y_s*pow(1.+Y_s/0.27,-1./3.); // [K] Eqs. (50) and (47) + theta_s = (T_s*_k_B_)/(_m_e_*pow(_c_,2.)); + + M_b_dot = 4.*_PI_*lambda*(pin->rho_b/pow(_c_,2.))*pow(r_B,2.)*v_eff; // [kg/s] Eq. (6) + + if(theta_s > 1.){ // Eq. (55) + J = 27./(2.*_PI_)*(log(2.*theta_s*exp(-0.577)+0.08)+4./3.); // [-] + } + else{ + J = 4./_PI_*sqrt(2./_PI_)*pow(theta_s,-0.5)*(1+5.5*pow(theta_s,1.25)); // [-] + } + + L_acc = 1./137.*(T_s*_k_B_)/(_m_p_*pow(_c_,2.))*J*pow(M_b_dot*_c_*_c_,2.)/L_ed; // [W] Eq. (57) + break; + default: + class_stop(pin->error_message,"Invalid PBH_accretion_recipe"); + } + + *energy_rate = pin->rho_cdm*pin->PBH_accretion_fraction/ + (pin->PBH_accretion_mass*_Sun_mass_)*L_acc/pow(_c_,2.); // [J/(m^3 s)] + + return _SUCCESS_; +} + + +/** + * Read and interpolate the deposition function from external file. + * + * @param ppr Input: pointer to precision structure + * @param pin Input/Output: pointer to injection structure + * @return the error status + */ +int injection_read_feff_from_file(struct precision* ppr, + struct injection* pin, + char* f_eff_file){ + + /** - Define local variables */ + FILE * fA; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + int index_z; + + pin->feff_z_size = 0; + + /** - Read file header */ + /* The file is assumed to contain: + * - The number of lines of the file + * - The columns ( z, f(z) ) where f(z) represents the "effective" fraction of energy deposited + * into the medium at redshift z, in presence of halo formation. */ + class_open(fA, f_eff_file, "r", pin->error_message); + + while (fgets(line,_LINE_LENGTH_MAX_-1,fA) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + /* Check that the line is neither blank nor a comment. In ASCII, left[0]>39 means that first non-blank charachter might + be the beginning of some data (it is not a newline, a #, a %, etc.) */ + if (left[0] > 39) { + + /* If the line contains data, we must interprete it. If num_lines == 0 , the current line must contain + its value. Otherwise, it must contain (xe , chi_heat, chi_Lya, chi_H, chi_He, chi_lowE). */ + + /* Read num_lines, infer size of arrays and allocate them */ + class_test(sscanf(line,"%d",&(pin->feff_z_size)) != 1, + pin->error_message, + "could not read the initial integer of number of lines in line %i in file '%s' \n", + headlines,f_eff_file); + + /* (z, f, ddf)*/ + class_alloc(pin->feff_table, + 3*pin->feff_z_size*sizeof(double), + pin->error_message); + break; + } + } + + /** - Read file */ + for(index_z=0;index_zfeff_z_size;++index_z){ + /* Read coefficients */ + class_test(fscanf(fA,"%lg %lg", + &(pin->feff_table[index_z*3+0]), // z + &(pin->feff_table[index_z*3+1]) // f_eff(z) + ) != 2, + pin->error_message, + "could not read value of parameters coefficients in line %i in file '%s'\n", + headlines,f_eff_file); + } + + fclose(fA); + + /** - Spline file contents */ + /* Spline in one dimension */ + class_call(array_spline(pin->feff_table, + 3, + pin->feff_z_size, + 0, + 1, + 2, + _SPLINE_NATURAL_, + pin->error_message), + pin->error_message, + pin->error_message); + + return _SUCCESS_; +} + + +/** + * Read and interpolate the branching ratio from external file, if the function + * in the file is given with respect to redshift. + * + * @param ppr Input: pointer to precision structure + * @param pin Input/Output: pointer to injection structure + * @return the error status + */ +int injection_read_chi_z_from_file(struct precision* ppr, + struct injection* pin, + char* chi_z_file){ + + /** Define local variables */ + FILE * fA; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + int index_z,index_dep; + + pin->chiz_size = 0; + + /* The file is assumed to contain: + * - The number of lines of the file + * - The columns (xe , chi_heat, chi_Lya, chi_H, chi_He, chi_lowE) where chi_i represents the + * branching ratio at redshift z into different injection/ionization channels i */ + + class_open(fA, chi_z_file, "r", pin->error_message); + + while (fgets(line,_LINE_LENGTH_MAX_-1,fA) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + /* Check that the line is neither blank nor a comment. In ASCII, left[0]>39 means that first non-blank charachter might + be the beginning of some data (it is not a newline, a #, a %, etc.) */ + if (left[0] > 39) { + + /* If the line contains data, we must interprete it. If num_lines == 0 , the current line must contain + its value. Otherwise, it must contain (xe , chi_heat, chi_Lya, chi_H, chi_He, chi_lowE). */ + + /* Read num_lines, infer size of arrays and allocate them */ + class_test(sscanf(line,"%d",&(pin->chiz_size)) != 1, + pin->error_message, + "could not read the initial integer of number of lines in line %i in file '%s' \n", + headlines,chi_z_file); + + /* (z, chi_i)*/ + class_alloc(pin->chiz_table, + (2*pin->dep_size+1)*pin->chiz_size*sizeof(double), + pin->error_message); + break; + } + } + + for(index_z=0;index_zchiz_size;++index_z){ + /* Read coefficients */ + class_test(fscanf(fA,"%lg %lg %lg %lg %lg %lg", + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+0]), //z + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+1+pin->index_dep_heat]), //heat + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+1+pin->index_dep_lya]), //lya + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+1+pin->index_dep_ionH]), //ionH + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+1+pin->index_dep_ionHe]), //ionHe + &(pin->chiz_table[index_z*(2*pin->dep_size+1)+1+pin->index_dep_lowE]) //lowE + )!= 6, + pin->error_message, + "could not read value of parameters coefficients in line %i in file '%s'\n", + index_z+headlines,chi_z_file); + } + + fclose(fA); + + /* Spline in one dimension */ + for(index_dep=0;index_depdep_size;++index_dep){ + class_call(array_spline(pin->chiz_table, + 2*pin->dep_size+1, + pin->chiz_size, + 0, + 1+index_dep, + 1+index_dep+pin->dep_size, + _SPLINE_NATURAL_, + pin->error_message), + pin->error_message, + pin->error_message); + } + + return _SUCCESS_; +} + + +/** + * Read and interpolate the branching ratio from external file, if the function + * in the file is given with respect to the fraction of free electrons X_e. + * + * @param ppr Input: pointer to precision structure + * @param pin Input/Output: pointer to injection structure + * @return the error status + */ +int injection_read_chi_x_from_file(struct precision* ppr, + struct injection* pin, + char* chi_x_file){ + + /** Define local variables */ + FILE * fA; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + int index_x,index_dep; + + pin->chix_size = 0; + + /** - Read file header */ + /* The file is assumed to contain: + * - The number of lines of the file + * - The columns (xe , chi_heat, chi_Lya, chi_H, chi_He, chi_lowE) where chi_i represents the + * branching ratio at redshift z into different injection/ionization channels i */ + + class_open(fA, chi_x_file, "r", pin->error_message); + + while (fgets(line,_LINE_LENGTH_MAX_-1,fA) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + /* Check that the line is neither blank nor a comment. In ASCII, left[0]>39 means that first non-blank charachter might + be the beginning of some data (it is not a newline, a #, a %, etc.) */ + if (left[0] > 39) { + + /* If the line contains data, we must interprete it. If num_lines == 0 , the current line must contain + its value. Otherwise, it must contain (xe , chi_heat, chi_Lya, chi_H, chi_He, chi_lowE). */ + + /* Read num_lines, infer size of arrays and allocate them */ + class_test(sscanf(line,"%d",&(pin->chix_size)) != 1, + pin->error_message, + "could not read the initial integer of number of lines in line %i in file '%s' \n", + headlines, chi_x_file); + + /* (z, chi_i)*/ + class_alloc(pin->chix_table, + (2*pin->dep_size+1)*pin->chix_size*sizeof(double), + pin->error_message); + break; + } + } + + /** - Read file */ + for(index_x = 0; index_x < pin->chix_size;++index_x){ + /* Read coefficients */ + class_test(fscanf(fA,"%lg %lg %lg %lg %lg %lg", + &(pin->chix_table[index_x*(2*pin->dep_size+1)+0]), //x + &(pin->chix_table[index_x*(2*pin->dep_size+1)+1+pin->index_dep_heat]), //heat + &(pin->chix_table[index_x*(2*pin->dep_size+1)+1+pin->index_dep_lya]), //lya + &(pin->chix_table[index_x*(2*pin->dep_size+1)+1+pin->index_dep_ionH]), //ionH + &(pin->chix_table[index_x*(2*pin->dep_size+1)+1+pin->index_dep_ionHe]), //ionHe + &(pin->chix_table[index_x*(2*pin->dep_size+1)+1+pin->index_dep_lowE]) //lowE + )!= 6, + pin->error_message, + "could not read value of parameters coefficients in line %i in file '%s'\n", + index_x+headlines,chi_x_file); + } + + fclose(fA); + + /** - Spline file contents */ + /* Spline in one dimension */ + for(index_dep=0;index_depdep_size;++index_dep){ + class_call(array_spline(pin->chix_table, + 2*pin->dep_size+1, + pin->chix_size, + 0, + 1+index_dep, + 1+index_dep+pin->dep_size, + _SPLINE_NATURAL_, + pin->error_message), + pin->error_message, + pin->error_message); + } + + return _SUCCESS_; +} + + + + +/** + * Outputs + */ +int injection_output_titles(struct injection * pin, char titles[_MAXTITLESTRINGLENGTH_]){ + + class_store_columntitle(titles,"Redshift z",_TRUE_); + class_store_columntitle(titles,"Heat [-]",_TRUE_); + class_store_columntitle(titles,"IonH [-]",_TRUE_); + class_store_columntitle(titles,"IonHe [-]",_TRUE_); + class_store_columntitle(titles,"Lya [-]",_TRUE_); + + return _SUCCESS_; +} + +int injection_output_data(struct injection * pin, + int number_of_titles, + double * data){ + int storeidx; + double * dataptr; + int index_z; + + for (index_z=0; index_zz_size; index_z++) { + dataptr = data + index_z*number_of_titles; + storeidx = 0; + class_store_double(dataptr, pin->z_table[index_z], _TRUE_, storeidx); + class_store_double(dataptr, pin->deposition_table[pin->index_dep_heat][index_z], _TRUE_, storeidx); + class_store_double(dataptr, pin->deposition_table[pin->index_dep_ionH][index_z], _TRUE_, storeidx); + class_store_double(dataptr, pin->deposition_table[pin->index_dep_ionHe][index_z], _TRUE_, storeidx); + class_store_double(dataptr, pin->deposition_table[pin->index_dep_lya][index_z], _TRUE_, storeidx); + } + + return _SUCCESS_; +} diff --git a/external/heating/injection.h b/external/heating/injection.h new file mode 100644 index 00000000..769c31f1 --- /dev/null +++ b/external/heating/injection.h @@ -0,0 +1,268 @@ +#ifndef __INJECTION__ +#define __INJECTION__ + +#include "common.h" //Use here ONLY the things required for defining the struct (i.e. common.h for the ErrorMsg) + +/** + * All injection parameters and evolution that other modules need to know. + */ +enum PBH_accretion_approx {spherical_accretion, disk_accretion}; +enum f_eff_approx {f_eff_on_the_spot, f_eff_from_file}; +enum chi_approx {chi_CK, chi_PF, chi_Galli_file, chi_Galli_analytic, chi_full_heating, chi_from_x_file, chi_from_z_file}; + +struct injection{ + + /** @name - input parameters initialized by user in input module (all other quantities are computed in this module, + * given these parameters and the content of the 'precision', 'background' and 'thermodynamics' structs) */ + + //@{ + + /* Exotic energy injection parameters */ + double DM_annihilation_efficiency; + double DM_annihilation_cross_section; + double DM_annihilation_mass; + double DM_annihilation_fraction; + double DM_annihilation_variation; + double DM_annihilation_z; + double DM_annihilation_zmax; + double DM_annihilation_zmin; + double DM_annihilation_f_halo; + double DM_annihilation_z_halo; + + double DM_decay_fraction; + double DM_decay_Gamma; + + double PBH_evaporation_fraction; + double PBH_evaporation_mass; + + double PBH_accretion_fraction; + double PBH_accretion_mass; + enum PBH_accretion_approx PBH_accretion_recipe; + double PBH_accretion_relative_velocities; + double PBH_accretion_ADAF_delta; + double PBH_accretion_eigenvalue; + + /* Injection efficiency */ + int f_eff_type; + FileName f_eff_file; + + /* Deposition function and injection efficiency */ + int chi_type; + FileName chi_z_file; + FileName chi_x_file; + + //@} + + + /** @name - Imported parameters */ + + //@{ + + /* Parameters from precision structure */ + int Nz_size; + double z_initial; + double z_start_chi_approx; + + /* Parameters from background structure */ + /* Redshift independent, i.e. defined in injection_init */ + double H0; + double T_g0; + double Omega0_b; + double Omega0_cdm; + double rho0_cdm; + /* Redshift dependent, i.e. defined in injection_calculate_at_z */ + double H; + double a; + double t; + double rho_g; + double rho_b; + double rho_cdm; + + /* Parameters from thermodynamics structure */ + /* Redshift independent, i.e. defined in injection_init */ + double fHe; + double N_e0; + /* Redshift dependent, i.e. defined in injection_calculate_at_z */ + double heat_capacity; + double T_b; + double x_e; + double nH; + + //@} + + /** @name - Public tables and parameters */ + + //@{ + + /* Redshift tables */ + double* z_table; + int z_size; + + double tol_z_table; + int filled_until_index_z; + double filled_until_z; + + int last_index_z_feff; + int last_index_z_chi; + int last_index_z_inj; + int last_index_z; + + int index_z_store; + + /* X_e table */ + int last_index_x_chi; + + /* PBH mass evolution table and PBH free parameters */ + double PBH_z_evaporation; + double PBH_QCD_activation; + double * PBH_table_z; + double * PBH_table_mass; + double * PBH_table_mass_dd; + double * PBH_table_F; + double * PBH_table_F_dd; + int Nz_PBH; + + /* Energy injection table */ + double** injection_table; + int index_inj_cool; + int index_inj_diss; + int index_inj_DM_ann; + int index_inj_DM_dec; + int index_inj_PBH_eva; + int index_inj_PBH_acc; + int index_inj_tot; + int inj_size; /** All contributions + total */ + + /* Injection efficiency table */ + double f_eff; + int feff_z_size; + double* feff_table; + + /* Deposition function tables */ + double* chiz_table; + int chiz_size; + double* chix_table; + int chix_size; + + double** deposition_table; /* The table of energy depositions into the IGM of different deposition types */ + double* chi; + int index_dep_heat; + int index_dep_ionH; + int index_dep_ionHe; + int index_dep_lya; + int index_dep_lowE; + int dep_size; + + /* Energy deposition vector */ + double* pvecdeposition; + + //@} + + /** @name - Flags and technical parameters */ + + //@{ + + /* Flags */ + int has_exotic_injection; + + int has_DM_ann; + int has_DM_dec; + int has_PBH_eva; + int has_PBH_acc; + + int to_store; + + /* Book-keeping */ + + ErrorMsg error_message; + + //@} +}; + + + + +/**************************************************************/ + +/* @cond INCLUDE_WITH_DOXYGEN */ +/* + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + /* Allocate, define indeces for and free injection tables */ + int injection_init(struct precision * ppr, + struct background* pba, + struct thermodynamics* pth); + + int injection_indices(struct thermodynamics* pth); + + int injection_free(struct thermodynamics* pth); + + /* Main functions */ + int injection_calculate_at_z(struct background* pba, + struct thermodynamics* pth, + double x, + double z, + double Tmat, + double* pvecback); + + int injection_energy_injection_at_z(struct injection* phe, + double z, + double* dEdt_inj); + + int injection_deposition_function_at_z(struct injection* phe, + double x, + double z); + + int injection_deposition_at_z(struct thermodynamics* pth, + double z); + + /* injection functions */ + int injection_rate_DM_annihilation(struct injection * phe, + double z, + double * energy_rate); + + int injection_rate_DM_decay(struct injection * phe, + double z, + double * energy_rate); + + int injection_rate_PBH_evaporation_mass_evolution(struct background * pba, + struct injection * phe); + + int injection_rate_PBH_evaporation(struct injection * phe, + double z, + double * energy_rate); + + int injection_rate_PBH_accretion(struct injection * phe, + double z, + double * energy_rate); + + /* Injection efficiency */ + int injection_read_feff_from_file(struct precision* ppr, + struct injection* phe, + char* f_eff_file); + + /* Deposition function */ + int injection_read_chi_z_from_file(struct precision* ppr, + struct injection* phe, + char* chi_z_file); + + int injection_read_chi_x_from_file(struct precision* ppr, + struct injection* phe, + char* chi_x_file); + + int injection_output_titles(struct injection* phe, + char titles[_MAXTITLESTRINGLENGTH_]); + + int injection_output_data(struct injection * phe, + int number_of_titles, + double * data); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/external/heating/noninjection.c b/external/heating/noninjection.c new file mode 100644 index 00000000..1d1627da --- /dev/null +++ b/external/heating/noninjection.c @@ -0,0 +1,399 @@ +/** @file noninjection.c Documented non-exotic energy injection module + * + * written by Nils Schoeneberg and Matteo Lucca, 27.02.2019 + * + * The main goal of this module is to calculate the non-injected energy for the + * photon evolution equation + * For more details see the description in the README file. + */ +#include "primordial.h" +#include "noninjection.h" + +/** + * Initialize the noninjection structure. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pni Input: pointer to noninjection structure + * @return the error status + */ +int noninjection_init(struct precision* ppr, + struct background* pba, + struct thermodynamics* pth, + struct perturbations* ppt, + struct primordial* ppm, + struct noninjection* pni){ + + /** Summary: */ + + /** - Define local variables */ + int index_k,index_z; + int last_index_back, last_index_thermo, last_index_coarse = 0; + double *pvecback, *pvecthermo; + double R, dkappa; + double dEdt; + double z_wkb; + double h,a,b; + double temp_injection; + double z_coarse; + + /* z-table */ + pni->z_size = pth->tt_size; + class_alloc(pni->z_table, + pni->z_size*sizeof(double), + pni->error_message); + memcpy(pni->z_table, + pth->z_table, + pni->z_size*sizeof(double)); + pni->last_index_z = 0; + + /* Photon non-injected table */ + class_alloc(pni->photon_dep_table, + pni->z_size*sizeof(double), + pni->error_message); + /* Initialize to zero */ + for(index_z = 0; index_z < pni->z_size; ++index_z){ + pni->photon_dep_table[index_z] = 0.; + } + + /** - Allocate new storage space that is a bit coarser in z as to reduce computational costs */ + pni->logz_max = log(1.+pni->z_table[pni->z_size-1]); + pni->z_size_coarse = ppr->noninjection_Nz_log; /* This table is only going to be filled after the initial run anyway */ + class_alloc(pni->z_table_coarse, + pni->z_size_coarse*sizeof(double), + pni->error_message); + for(index_z=0;index_zz_size_coarse-1;++index_z){ + pni->z_table_coarse[index_z] = exp(index_z*pni->logz_max/(pni->z_size_coarse-1))-1.; + } + pni->z_table_coarse[pni->z_size_coarse-1] = pni->z_table[pni->z_size-1]; + + class_alloc(pni->noninjection_table, + pni->z_size_coarse*sizeof(double), + pni->error_message); + class_alloc(pni->ddnoninjection_table, + pni->z_size_coarse*sizeof(double), + pni->error_message); + + /** - Allocate qunatities from primordial structure */ + pni->k_max = ppr->k_max_acc_diss; + pni->k_min = ppr->k_min_acc_diss; + pni->k_size = ppr->noninjection_Nk_acc_diss; + class_alloc(pni->k, + pni->k_size*sizeof(double), + pni->error_message); + class_alloc(pni->k_weights, + pni->k_size*sizeof(double), + pni->error_message); + class_alloc(pni->pk_primordial_k, + pni->k_size*sizeof(double), + pni->error_message); + + /** - Import primordial spectrum */ + for (index_k=0; index_kk_size; index_k++) { + pni->k[index_k] = exp(log(pni->k_min)+(log(pni->k_max)-log(pni->k_min))/(pni->k_size)*index_k); + + class_call(primordial_spectrum_at_k(ppm, + ppt->index_md_scalars, + linear, + pni->k[index_k], + &pni->pk_primordial_k[index_k]), + ppm->error_message, + pni->error_message); + } + + /** - Prepare wavenumber integration */ + class_call(array_trapezoidal_weights(pni->k, + pni->k_size, + pni->k_weights, + pni->error_message), + pni->error_message, + pni->error_message); + + class_alloc(pni->integrand_approx, + pni->k_size*sizeof(double), + pni->error_message); + + /** - Allocate backgorund and thermodynamcis vectors */ + last_index_back = 0; + last_index_thermo = 0; + class_alloc(pvecback, + pba->bg_size*sizeof(double), + pni->error_message); + class_alloc(pvecthermo, + pth->tt_size*sizeof(double), + pni->error_message); + + /** - Calculate WKB approximation ampltidue factor f_nu at early times */ + z_wkb = ppr->z_wkb_acc_diss; + class_call(background_at_z(pba, + z_wkb, + long_info, + inter_normal, + &last_index_back, + pvecback), + pba->error_message, + pni->error_message); + + pni->f_nu_wkb = (1.-pvecback[pba->index_bg_rho_g]/(pvecback[pba->index_bg_Omega_r]*pvecback[pba->index_bg_rho_crit])); + + /** - Import quantities from other structures */ + /* Background structure */ + pni->H0 = pba->H0*_c_/_Mpc_over_m_; // [1/s] + pni->T_g0 = pba->T_cmb; // [K] + pni->Omega0_b = pba->Omega0_b; // [-] + pni->Omega0_cdm = pba->Omega0_cdm; // [-] + pni->rho0_cdm = pba->Omega0_cdm*pow(pni->H0,2)*3/8./_PI_/_G_*_c_*_c_; // [J/m^3] + + /* Thermodynamics structure */ + pni->fHe = pth->fHe; // [-] + pni->N_e0 = pth->n_e; // [1/m^3] + + /** - Loop over z and calculate the heating at each point */ + dEdt = 0.; + for(index_z=0; index_zz_size_coarse; ++index_z){ + + z_coarse = pni->z_table_coarse[index_z]; + pni->noninjection_table[index_z] = 0.; + + /* Import quantities from background and thermodynamics structure */ + class_call(background_at_z(pba, + z_coarse, + long_info, + inter_closeby, + &last_index_back, + pvecback), + pba->error_message, + pni->error_message); + + pni->H = pvecback[pba->index_bg_H]*_c_/_Mpc_over_m_; // [1/s] + pni->a = pvecback[pba->index_bg_a]; // [-] + pni->rho_g = pvecback[pba->index_bg_rho_g]*_Jm3_over_Mpc2_; // [J/m^3] + R = (3./4.)*pvecback[pba->index_bg_rho_b]/pvecback[pba->index_bg_rho_g]; // [-] + pni->nH = pni->N_e0*pow(pni->a,-3); + + class_call(thermodynamics_at_z(pba, + pth, + z_coarse, + inter_normal, + &last_index_thermo, + pvecback, + pvecthermo), + pth->error_message, + pni->error_message); + + dkappa = pvecthermo[pth->index_th_dkappa]; // [1/Mpc] + pni->dkD_dz = 1./(pvecback[pba->index_bg_H]*dkappa)*(16./15.+pow(R,2.)/(1.+R))/(6.*(1.0+R)); // [Mpc^2] + pni->kD = 2.*_PI_/pvecthermo[pth->index_th_r_d]; // [1/Mpc] + pni->T_b = pvecthermo[pth->index_th_Tb]; // [K] + pni->T_g = pni->T_g0/pni->a; // [K] + pni->x_e = pvecthermo[pth->index_th_xe]; // [-] + pni->heat_capacity = (3./2.)*_k_B_*pni->nH*(1.+pni->fHe+pni->x_e); // [J/(K m^3)] + + /* Include all non-injected energy that does not need to be deposited (i.e. adiabatic terms as below) */ + /* First order cooling of photons due to adiabatic interaction with baryons */ + class_call(noninjection_rate_adiabatic_cooling(pni, + z_coarse, + &dEdt), + pni->error_message, + pni->error_message); + pni->noninjection_table[index_z]+=dEdt; + + /* Second order acoustic dissipation of BAO */ + class_call(noninjection_rate_acoustic_diss(pni, + z_coarse, + &dEdt), + pni->error_message, + pni->error_message); + pni->noninjection_table[index_z]+=dEdt; + } + + /** - Spline coarse z table in view of interpolation */ + class_call(array_spline_table_columns2(pni->z_table_coarse, + pni->z_size_coarse, + pni->noninjection_table, + 1, + pni->ddnoninjection_table, + _SPLINE_EST_DERIV_, + pni->error_message), + pni->error_message, + pni->error_message); + + /** - Evaluate the spline coarse table at the fine-grained z samples */ + for(index_z=0;index_zz_size;++index_z){ + class_call(array_spline_hunt(pni->z_table_coarse, + pni->z_size_coarse, + pni->z_table[index_z], + &last_index_coarse, + &h,&a,&b, + pni->error_message), + pni->error_message, + pni->error_message); + + temp_injection = array_spline_eval(pni->noninjection_table, + pni->ddnoninjection_table, + last_index_coarse, + last_index_coarse+1, + h,a,b); + pni->photon_dep_table[index_z]+=temp_injection; + } + + /** - Free temporary variables */ + free(pvecback); + free(pvecthermo); + + return _SUCCESS_; +} + +/** + * Free the noninjection structure. + * + * @param pni Input: pointer to noninjection structure + * @return the error status + */ +int noninjection_free(struct noninjection* pni){ + + free(pni->z_table); + free(pni->photon_dep_table); + + free(pni->k); + free(pni->k_weights); + free(pni->pk_primordial_k); + + free(pni->z_table_coarse); + free(pni->noninjection_table); + free(pni->ddnoninjection_table); + + free(pni->integrand_approx); + + return _SUCCESS_; +} + + +/** + * Interpolates photon injection from precomputed table at a given value of z. + * + * @param pni Input: pointer to noninjected structure + * @param z Input: redshift + * @param heat Output: photon heating at given redshift + * @return the error status + */ +int noninjection_photon_heating_at_z(struct noninjection* pni, + double z, + double* heat){ + + /** Define local variables */ + double h,a,b; + + class_call(array_spline_hunt(pni->z_table, + pni->z_size, + z, + &(pni->last_index_z), + &h,&a,&b, + pni->error_message), + pni->error_message, + pni->error_message); + + * heat = ( a*pni->photon_dep_table[pni->last_index_z] + b*pni->photon_dep_table[pni->last_index_z+1] ); + + return _SUCCESS_; +} + + +/** + * Calculate heating from adiabatic cooling of electrons and baryons. + * + * @param pni Input: pointer to noninjection structure + * @param z Input: redshift + * @param energy_rate Output: energy rate of non-injection process at given redshift + * @return the error status + */ +int noninjection_rate_adiabatic_cooling(struct noninjection * pni, + double z, + double * energy_rate){ + + /** Calculate heating rates */ + *energy_rate = -pni->heat_capacity*pni->H*pni->T_g; // [J/(m^3 s)] + + return _SUCCESS_; + +} + + +/** + * Calculate heating from dissipation of acoustic waves. + * + * @param pni Input: pointer to noninjection structure + * @param z Input: redshift + * @param energy_rate Output: energy rate of non-injection process at given redshift + * @return the error status + */ +int noninjection_rate_acoustic_diss(struct noninjection * pni, + double z, + double * energy_rate){ + + /** Define local variables */ + int index_k; + double dQrho_dz; + double A_wkb; + + /** a) Calculate full function */ + // CURRENTLY NOT YET IMPLEMENTED + + /** b) Calculate approximated function */ + if (_TRUE_){ + + A_wkb = 1./(1.+4./15.*pni->f_nu_wkb); + + /* Define integrand for approximated function */ + for (index_k=0; index_kk_size; index_k++) { + pni->integrand_approx[index_k] = 4.*A_wkb*A_wkb*pow(pni->k[index_k],1.)* + pni->pk_primordial_k[index_k]* + exp(-2.*pow(pni->k[index_k]/pni->kD,2.))* + pni->dkD_dz; + } + + class_call(array_trapezoidal_integral(pni->integrand_approx, + pni->k_size, + pni->k_weights, + &dQrho_dz, + pni->error_message), + pni->error_message, + pni->error_message); + + } + + *energy_rate = dQrho_dz*pni->H*pni->rho_g/pni->a; // [J/(m^3 s)] + + return _SUCCESS_; +} + +/** + * Outputs + */ +int noninjection_output_titles(struct noninjection * pni, char titles[_MAXTITLESTRINGLENGTH_]){ + + class_store_columntitle(titles,"Redshift z",_TRUE_); + class_store_columntitle(titles,"Photon Heating [-]",_TRUE_); + + return _SUCCESS_; +} + +int noninjection_output_data(struct noninjection * pni, + int number_of_titles, + double * data){ + int storeidx; + double * dataptr; + int index_z; + + for (index_z=0; index_zz_size; index_z++) { + dataptr = data + index_z*number_of_titles; + storeidx = 0; + class_store_double(dataptr, pni->z_table[index_z], _TRUE_, storeidx); + class_store_double(dataptr, pni->photon_dep_table[index_z], _TRUE_, storeidx); + } + + return _SUCCESS_; +} diff --git a/external/heating/noninjection.h b/external/heating/noninjection.h new file mode 100644 index 00000000..3c7c519d --- /dev/null +++ b/external/heating/noninjection.h @@ -0,0 +1,119 @@ +#ifndef __NONINJECTION__ +#define __NONINJECTION__ + +#include "common.h" //Use here ONLY the things required for defining the struct (i.e. common.h for the ErrorMsg) + +struct noninjection{ + + /** @name - Imported parameters */ + + //@{ + /* Arrays related to wavenumbers */ + double k_min; + double k_max; + int k_size; + double* k; + double* k_weights; + double* pk_primordial_k; + + /* Array related to WKB approximation for diss. of acc. waves */ + double* integrand_approx; + + /* Arrays related to redshift */ + double* z_table_coarse; + int z_size_coarse; + double logz_max; + double * noninjection_table; + double * ddnoninjection_table; + + int z_size; + double* z_table; + int last_index_z; + + /* Temporary quantities */ + // WKB approximation quantities + double f_nu_wkb; + double dkD_dz; + double kD; + // Fixed thermodynamic quantities + double H0; + double T_g0; + double Omega0_b; + double Omega0_cdm; + double rho0_cdm; + // Fixed thermodynamic quantities + double fHe; + double N_e0; + // Varying background quantities + double H; + double a; + double rho_g; + // Varying thermodynamic quantities + double heat_capacity; + double nH; + double T_b; + double T_g; + double x_e; + + //@} + + /** @name - Public tables and parameters */ + + //@{ + + double* photon_dep_table; /* The table of energy depositions into the photon fluid */ + + //@} + + /** @name - Flags and technical parameters */ + + //@{ + + /* Error message */ + ErrorMsg error_message; + + //@} + +}; + +/* @cond INCLUDE_WITH_DOXYGEN */ +/* + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + int noninjection_init(struct precision* ppr, + struct background* pba, + struct thermodynamics* pth, + struct perturbations* ppt, + struct primordial* ppm, + struct noninjection* pni); + + int noninjection_free(struct noninjection* pni); + + int noninjection_photon_heating_at_z(struct noninjection* pni, + double z, + double* heat); + + int noninjection_rate_adiabatic_cooling(struct noninjection * pni, + double z, + double * energy_rate); + + int noninjection_rate_acoustic_diss(struct noninjection * pni, + double z, + double * energy_rate); + + int noninjection_output_titles(struct noninjection * pni, + char titles[_MAXTITLESTRINGLENGTH_]); + + int noninjection_output_data(struct noninjection * pni, + int number_of_titles, + double * data); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_models/brans_dicke.ini b/gravity_models/brans_dicke.ini index 3e4f4e92..46ed3fe6 100644 --- a/gravity_models/brans_dicke.ini +++ b/gravity_models/brans_dicke.ini @@ -2,35 +2,35 @@ Parameter file for Brans Dicke theory -> See Avilez+13 (1303.4330) or Bellini+17 (1709.09135) Omega_Lambda = 0 -Omega_fld = 0 -Omega_smg = -1 +Omega_fld = 0 +Omega_smg = -1 -1) Brans-Dicke theory: G_2 -> (omega_BD/phi)X -V0, +1) Brans-Dicke theory: G_2 -> (omega_BD/phi)X -V0, G_4 -> phi M_p^2/2 initial field value sets M_*^2 (effective Planck mass) -gravity_model = brans dicke +gravity_model = brans dicke V0, omega_BD, phi_ini, phi'_ini parameters_smg = 0.7, 15, 1., 0 -2) Options for tuning of effective M_pl using phi_ini +2) Options for tuning of effective M2 using phi_ini Note that (b,c) are very close for large omega_BD (viable models) - + a) No specifications uses the input_value - -#comment M_pl_today_smg line below - - b) Specifying M_pl_today fixes phi_0 + +#comment M2_today_smg line below + + b) Specifying M2_today fixes phi_0 (overwrites phi_ini) -M_pl_today_smg = 1.0 - - c) Specifying M_pl_today AND normalize_G_NR +M2_today_smg = 1.0 + + c) Specifying M2_today AND normalize_G_NR sets G_eff -> 1 for non-relativistic matter - (overwrites phi_ini AND M_pl_today_smg) - + (overwrites phi_ini AND M2_today_smg) + #normalize_G_NR = yes @@ -43,7 +43,7 @@ a_min_stability_test_smg = 1e-6 root = output/brans_dicke_ -#output = tCl,mPk +#output = tCl,mPk output_background_smg = 10 write parameters = yeap diff --git a/gravity_smg/background_smg.c b/gravity_smg/background_smg.c new file mode 100644 index 00000000..38a830d2 --- /dev/null +++ b/gravity_smg/background_smg.c @@ -0,0 +1,1378 @@ +/** @file background_smg.c Documented background_smg module + * + * Emilio Bellini, Ignacy Sawicki, Miguel Zumalacarregui, 2024 + * + * Additional functions for the background module. + * It contains all the hi_class related functions (_smg) + * that are used by background.c. In this way the main hi_class + * modifications are stored here and the standard Class modules + * remain cleaner. + * + * The following nomenclature has been adopted: + * + * -# all the functions end with "_smg" to make them easily + * recognizable + * -# all the functions starting with "background" are + * directly called by background.c or the classy wrapper + * -# all the functions that do not start with "background" + * are only used internally in background_smg.c + */ + +#include "background_smg.h" + + +/** +* Fill the modified gravity part of background_functions. +* First all the Horndeski functions G_i(X,phi) are computed. +* A loop is used to allow different implementations without erasing previous ones +* Note that in CLASS units a canonical field has G2 = X ~ [Mpc]^-2 +* This implies that phi_prime ~ [Mpc]^-1 +* and phi is dimensionless (we can think of phi as given in units of the Planck mass +* - A default module to numerically compute the derivatives when no analytic functions are given should be added. +* Numerical derivatives may further serve as a consistency check. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback_B Input: vector containing all {B} quantities +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param ptr_rho_tot Output: pointer to the total (without smg) energy density +* @param ptr_p_tot Output: pointer to the total (without smg) pressure +* @param ptr_rho_de Output: pointer to the dark energy density (smg) +* @return the error status +*/ +int background_gravity_functions_smg( + struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + double * ptr_rho_tot, + double * ptr_p_tot, + double * ptr_rho_de + ){ + + + /** - save rho_tot and p_tot without smg (it is important that smg is the last thing to be computed) */ + pvecback[pba->index_bg_rho_tot_wo_smg] = *ptr_rho_tot; + pvecback[pba->index_bg_p_tot_wo_smg] = *ptr_p_tot; + + // scalar field + curvature not yet implemented + class_test(pba->K !=0 , + pba->error_message, + "has_smg with curvature K = %e not yet implemented",pba->K); + + if (pba->field_evolution_smg == _TRUE_) { + + /* Define local variables */ + double x,f,df; + int n, n_max=100; + double H; + + /* Get phi and phi_prime from the integrator */ + pvecback[pba->index_bg_phi_smg] = pvecback_B[pba->index_bi_phi_smg]; + pvecback[pba->index_bg_phi_prime_smg] = pvecback_B[pba->index_bi_phi_prime_smg]; + + /* declare G functions and set defaults */ + struct G_functions_and_derivs gf = DEFAULT_G_FUNCTIONS_AND_DERIVS; + + /* update G functions and derivatives */ + class_call(gravity_models_get_Gs_smg(pba, a, pvecback_B, &gf), + pba->error_message, + pba->error_message + ); + + /* get Es functions. Notation: + * E0 + E1 H + E3 H^3 = E2 H^2 + */ + class_call(gravity_functions_Es_from_Gs_smg(pba, a, pvecback_B, pvecback, &gf), + pba->error_message, + pba->error_message + ); + + double E0 = pvecback[pba->index_bg_E0_smg]; + double E1 = pvecback[pba->index_bg_E1_smg]; + double E2 = pvecback[pba->index_bg_E2_smg]; + double E3 = pvecback[pba->index_bg_E3_smg]; + + class_test(E3*pow(E0,1./2.) > 1e-10 && pba->initial_conditions_set_smg == _FALSE_, + pba->error_message, + "E3=%e is large in Friedmann constraint when setting ICs ", E3); + + /* get Hubble, either solving the cubic Friedmann + * equation or from the integrator. + */ + if ((pba->hubble_evolution == _FALSE_) || (pba->initial_conditions_set_smg == _FALSE_)) { + /* Use Newton's method to solve the cubic Friedmann equation */ + x = sqrt(E0); + f = E3*x*x*x -E2*x*x + E1*x + E0; + n = 0; + while (fabs(f/E0)> 1e-8 && n < 100){ + f = E3*x*x*x - E2*x*x + E1*x + E0; + df = 3.*E3*x*x - 2.*E2*x + E1; + x -= f/df; + n++; + } + H=x; + if ((pba->background_verbose > 5) && (pba->initial_conditions_set_smg == _FALSE_ )) + printf(" Initial H = %e, sqrt(rho) = %e, ratio = %e, n=%i \n", H, sqrt(pvecback[pba->index_bg_rho_tot_wo_smg]),sqrt(pvecback[pba->index_bg_rho_tot_wo_smg])/H,n); + + class_test(isnan(H), + pba->error_message, + "H=%e is not a number at a = %e. phi = %e, phi_prime = %e, E0=%e, E1=%e, E2=%e, E3=%e ", + H,a,pvecback[pba->index_bg_phi_smg],pvecback[pba->index_bg_phi_prime_smg],E0,E1,E2,E3); + + } + else { + H = exp(pvecback_B[pba->index_bi_logH]); + } + pvecback[pba->index_bg_H] = H; + + /* get Ps and Rs functions. Notation: + * P0 phi'' + P1 H' + P2 = 0 + * R0 phi'' + R1 H' + R2 = 0 + */ + class_call(gravity_functions_Ps_and_Rs_from_Gs_smg(pba, a, pvecback_B, pvecback, &gf), + pba->error_message, + pba->error_message + ); + + double P0 = pvecback[pba->index_bg_P0_smg]; + double P1 = pvecback[pba->index_bg_P1_smg]; + double P2 = pvecback[pba->index_bg_P2_smg]; + double R0 = pvecback[pba->index_bg_R0_smg]; + double R1 = pvecback[pba->index_bg_R1_smg]; + double R2 = pvecback[pba->index_bg_R2_smg]; + + class_test_except((P1*R0 - P0*R1) == 0 , + pba->error_message, + free(pvecback);free(pvecback_B), + "scalar field mixing with metric has degenerate denominator at a = %e, phi = %e, phi_prime = %e \n with P1 = %e, R0 =%e, P0=%e, R1=%e, \n H=%e, E0=%e, E1=%e, E2=%e, E3=%e", + a,pvecback[pba->index_bg_phi_smg],pvecback[pba->index_bg_phi_prime_smg], P1, R0, P0, R1, + pvecback[pba->index_bg_H],E0,E1,E2,E3); + + /* Friedmann space-space equation with friction added */ + pvecback[pba->index_bg_H_prime] = (R0*P2 - P0*R2)/(P0*R1 - P1*R0); + /* choose sign for friction depending on the derivative */ + if ((2.*E2*H - E1 - 3*E3*H*H)>=0) + pvecback[pba->index_bg_H_prime] += - a*pba->hubble_friction*(E2*H*H - E0 - E1*H - E3*H*H*H); + else{ + pvecback[pba->index_bg_H_prime] += a*pba->hubble_friction*(E2*H*H - E0 - E1*H - E3*H*H*H); + } + + /* Field equation */ + pvecback[pba->index_bg_phi_prime_prime_smg] = (P1*R2 - R1*P2)/(P0*R1 - P1*R0); + + /* get alphas, background density and pressure, shift and current. */ + class_call(gravity_functions_building_blocks_from_Gs_smg(pba, a, pvecback_B, pvecback, &gf), + pba->error_message, + pba->error_message + ); + + /* get Bs, intermediate step for perturbations. */ + class_call(gravity_functions_Bs_from_Gs_smg(pba, a, pvecback_B, pvecback, &gf), + pba->error_message, + pba->error_message + ); + + } + // end of if pba->field_evolution_smg + else{ + + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + + /* get background parametrizations. */ + class_call(gravity_models_get_back_par_smg(pba, a, pvecback, pvecback_B), + pba->error_message, + pba->error_message + ); + + /* add _smg to rho_tot */ + rho_tot += pvecback[pba->index_bg_rho_smg]; + p_tot += pvecback[pba->index_bg_p_smg]; + + pvecback[pba->index_bg_H] = sqrt(rho_tot-pba->K/a/a); + /** - compute derivative of H with respect to conformal time */ + pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a; + + //add friction term + if (pba->hubble_evolution == _TRUE_ && pba->initial_conditions_set_smg == _TRUE_){ + pvecback[pba->index_bg_H] = exp(pvecback_B[pba->index_bi_logH]); + /** - compute derivative of H with respect to conformal time */ + pvecback[pba->index_bg_H_prime] += - a*pba->hubble_friction*(pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H] - rho_tot - pba->K/a/a); + } + + // Compute time derivative of rho_smg + if (pba->rho_evolution_smg == _TRUE_){ + pvecback[pba->index_bg_rho_prime_smg] = -3.*a*pvecback[pba->index_bg_H]*(1.+pvecback[pba->index_bg_w_smg])*pvecback[pba->index_bg_rho_smg]; + } + + + /* initialize the values to the defaults */ + pvecback[pba->index_bg_kineticity_smg] = 0; + pvecback[pba->index_bg_braiding_smg] = 0.; + pvecback[pba->index_bg_tensor_excess_smg] = 0.; + pvecback[pba->index_bg_beyond_horndeski_smg] = 0.; + pvecback[pba->index_bg_M2_smg] = 1.; + pvecback[pba->index_bg_delta_M2_smg] = 0.; + pvecback[pba->index_bg_M2_running_smg] = 0.; + + /* get background parametrizations. */ + class_call(gravity_models_get_alphas_par_smg(pba, a, pvecback, pvecback_B), + pba->error_message, + pba->error_message + ); + + } + //end of parameterized mode + + // add a value to the kineticity to avoid problems with perturbations in certain models. + // NOTE: this needs to be done here to avoid interfering with the equations + pvecback[pba->index_bg_kineticity_smg] += pba->kineticity_safe_smg; + + //Derivatives of the BS functions and others. Set to zero here and computed numerically once the background is integrated (needed so that debuggers don't complain). + + pvecback[pba->index_bg_kineticity_prime_smg] = 0.; + pvecback[pba->index_bg_braiding_prime_smg] = 0.; + pvecback[pba->index_bg_M2_running_prime_smg] = 0.; + pvecback[pba->index_bg_tensor_excess_prime_smg] = 0.; + pvecback[pba->index_bg_beyond_horndeski_prime_smg] = 0.; + pvecback[pba->index_bg_H_prime_prime] = 0.; + pvecback[pba->index_bg_p_tot_wo_prime_smg] = 0.; + pvecback[pba->index_bg_p_prime_smg] = 0.; + pvecback[pba->index_bg_cs2_smg] = 0.; + pvecback[pba->index_bg_kinetic_D_smg] = 0.; + pvecback[pba->index_bg_kinetic_D_prime_smg] = 0.; + if (pba->field_evolution_smg == _TRUE_) { + pvecback[pba->index_bg_kinetic_D_over_phiphi_smg] = 0.; + pvecback[pba->index_bg_kinetic_D_over_phiphi_prime_smg] = 0.; + } + pvecback[pba->index_bg_cs2num_smg] = 0.; + pvecback[pba->index_bg_cs2num_prime_smg] = 0.; + pvecback[pba->index_bg_A0_smg] = 0.; + pvecback[pba->index_bg_A1_smg] = 0.; + pvecback[pba->index_bg_A2_smg] = 0.; + pvecback[pba->index_bg_A3_smg] = 0.; + pvecback[pba->index_bg_A4_smg] = 0.; + pvecback[pba->index_bg_A5_smg] = 0.; + pvecback[pba->index_bg_A6_smg] = 0.; + pvecback[pba->index_bg_A7_smg] = 0.; + pvecback[pba->index_bg_A8_smg] = 0.; + pvecback[pba->index_bg_A9_smg] = 0.; + pvecback[pba->index_bg_A10_smg] = 0.; + pvecback[pba->index_bg_A11_smg] = 0.; + pvecback[pba->index_bg_A12_smg] = 0.; + pvecback[pba->index_bg_A13_smg] = 0.; + pvecback[pba->index_bg_A14_smg] = 0.; + pvecback[pba->index_bg_A15_smg] = 0.; + pvecback[pba->index_bg_A16_smg] = 0.; + pvecback[pba->index_bg_A9_prime_smg] = 0.; + pvecback[pba->index_bg_A10_prime_smg] = 0.; + pvecback[pba->index_bg_A12_prime_smg] = 0.; + pvecback[pba->index_bg_A13_prime_smg] = 0.; + if (pba->field_evolution_smg == _TRUE_) { + pvecback[pba->index_bg_C0_smg] = 0.; + pvecback[pba->index_bg_C1_smg] = 0.; + pvecback[pba->index_bg_C2_smg] = 0.; + pvecback[pba->index_bg_C3_smg] = 0.; + pvecback[pba->index_bg_C4_smg] = 0.; + pvecback[pba->index_bg_C5_smg] = 0.; + pvecback[pba->index_bg_C6_smg] = 0.; + pvecback[pba->index_bg_C7_smg] = 0.; + pvecback[pba->index_bg_C8_smg] = 0.; + pvecback[pba->index_bg_C9_smg] = 0.; + pvecback[pba->index_bg_C10_smg] = 0.; + pvecback[pba->index_bg_C11_smg] = 0.; + pvecback[pba->index_bg_C12_smg] = 0.; + pvecback[pba->index_bg_C13_smg] = 0.; + pvecback[pba->index_bg_C14_smg] = 0.; + pvecback[pba->index_bg_C15_smg] = 0.; + pvecback[pba->index_bg_C16_smg] = 0.; + pvecback[pba->index_bg_C9_prime_smg] = 0.; + pvecback[pba->index_bg_C10_prime_smg] = 0.; + pvecback[pba->index_bg_C12_prime_smg] = 0.; + pvecback[pba->index_bg_C13_prime_smg] = 0.; + } + pvecback[pba->index_bg_lambda_1_smg] = 0.; + pvecback[pba->index_bg_lambda_2_smg] = 0.; + pvecback[pba->index_bg_lambda_3_smg] = 0.; + pvecback[pba->index_bg_lambda_4_smg] = 0.; + pvecback[pba->index_bg_lambda_5_smg] = 0.; + pvecback[pba->index_bg_lambda_6_smg] = 0.; + pvecback[pba->index_bg_lambda_7_smg] = 0.; + pvecback[pba->index_bg_lambda_8_smg] = 0.; + pvecback[pba->index_bg_lambda_9_smg] = 0.; + pvecback[pba->index_bg_lambda_10_smg] = 0.; + pvecback[pba->index_bg_lambda_11_smg] = 0.; + pvecback[pba->index_bg_lambda_2_prime_smg] = 0.; + pvecback[pba->index_bg_lambda_8_prime_smg] = 0.; + pvecback[pba->index_bg_lambda_9_prime_smg] = 0.; + pvecback[pba->index_bg_lambda_11_prime_smg] = 0.; + pvecback[pba->index_bg_G_eff_smg] = 0.; + pvecback[pba->index_bg_slip_eff_smg] = 0.; + if (pba->field_evolution_smg == _FALSE_ && pba->M2_evolution_smg == _FALSE_){ + pvecback[pba->index_bg_M2_running_smg] = 0.; + } + + /* Check required conditions for the gravity_models. */ + if ( (pba->skip_stability_tests_smg == _FALSE_) && (pba->parameters_tuned_smg == _TRUE_) && (pba->Omega_smg_debug == 0) ) { + if (pba->is_quintessence_smg == _TRUE_){ + /* Check that w is not lower than w < -1 for quintessence */ + class_test( (pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg] < -(1 + pba->quintessence_w_safe_smg)), + pba->error_message, + "Dark Energy equation of state at a = %e is w = %e, lower than w = -(1 + th), with threshold, th = %e. Quintessence models can only have w > -1. Aborting.\n", a, pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg], pba->quintessence_w_safe_smg); + + class_test(( (pvecback[pba->index_bg_rho_smg] / (pba->Omega0_smg*pow(pba->H0,2)) + 1e-3) < 1), + pba->error_message, + "Dark Energy density, rho_smg = %e, at a = %e is lower than its given present value, Omega0_smg*H0^2= %e, since quintessence models have w > -1, it will never be reached. Aborting.\n", pvecback[pba->index_bg_rho_smg], a, pba->Omega0_smg*pow(pba->H0,2) ); + } + } + + *ptr_rho_tot += pvecback[pba->index_bg_rho_smg]; + *ptr_p_tot += pvecback[pba->index_bg_p_smg]; + //divide relativistic & nonrelativistic (not very meaningful for oscillatory models) + + //TODO: need to define meaningfully -> separate early universe (IC, BBN...) from late (Halofit...) + //BUG: causes problem with halofit!, if not, causes bug with Brans-Dicke + *ptr_rho_de += pvecback[pba->index_bg_rho_smg]; + + /** - compute w_smg */ + if (pba->rho_evolution_smg == _FALSE_) { + pvecback[pba->index_bg_w_smg] = pvecback[pba->index_bg_p_smg] / pvecback[pba->index_bg_rho_smg]; + } + + return _SUCCESS_; + +} + + +/** + * Free all memory space allocated by hi_class in background. + * + * + * @param pba Input: pointer to background structure (to be freed) + * @return the error status + */ +int background_free_smg( + struct background *pba + ) { + + if (pba->parameters_smg != NULL) + free(pba->parameters_smg); + //dealocate parameters_2_smg only for parameterizations + if (pba->field_evolution_smg == _FALSE_ && pba->parameters_2_smg != NULL) + free(pba->parameters_2_smg); + + return _SUCCESS_; +} + + +/** + * Define hi_class bg indices. + * + * @param pba Input: pointer to background structure + * @return the error status + */ +int background_define_indices_bg_smg( + struct background *pba, + int * index_bg + ) { + + class_define_index(pba->index_bg_phi_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_phi_prime_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_phi_prime_prime_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_rho_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_p_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_rho_prime_smg,pba->rho_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_w_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_current_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_shift_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_M2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_delta_M2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_kineticity_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_braiding_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_tensor_excess_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_M2_running_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_beyond_horndeski_smg,_TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_kineticity_over_phiphi_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_braiding_over_phi_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_beyond_horndeski_over_phi_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_braiding_over_phi_prime_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_beyond_horndeski_over_phi_prime_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_kineticity_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_braiding_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_M2_running_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_tensor_excess_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_beyond_horndeski_prime_smg,_TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_cs2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_cs2num_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_cs2num_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_kinetic_D_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_kinetic_D_prime_smg,_TRUE_,*index_bg,1); + if (pba->field_evolution_smg == _TRUE_) { + class_define_index(pba->index_bg_kinetic_D_over_phiphi_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_kinetic_D_over_phiphi_prime_smg,_TRUE_,*index_bg,1); + } + class_define_index(pba->index_bg_A0_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A1_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A3_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A4_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A5_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A6_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A7_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A8_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A9_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A10_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A11_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A12_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A13_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A14_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A15_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A16_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A9_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A10_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A12_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_A13_prime_smg,_TRUE_,*index_bg,1); + + if (pba->field_evolution_smg == _TRUE_) { + class_define_index(pba->index_bg_B0_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B1_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B3_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B4_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B5_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B6_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B7_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B8_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B9_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B10_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B11_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_B12_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C0_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C1_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C3_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C4_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C5_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C6_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C7_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C8_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C9_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C10_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C11_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C12_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C13_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C14_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C15_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C16_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C9_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C10_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C12_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_C13_prime_smg,_TRUE_,*index_bg,1); + } + + class_define_index(pba->index_bg_lambda_1_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_2_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_3_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_4_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_5_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_6_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_7_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_8_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_9_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_10_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_11_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_2_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_8_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_9_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_lambda_11_prime_smg,_TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_E0_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_E1_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_E2_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_E3_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_P0_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_P1_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_P2_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_R0_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_R1_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + class_define_index(pba->index_bg_R2_smg,pba->field_evolution_smg == _TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_rho_tot_wo_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_p_tot_wo_smg,_TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_H_prime_prime,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_p_tot_wo_prime_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_p_prime_smg,_TRUE_,*index_bg,1); + + class_define_index(pba->index_bg_G_eff_smg,_TRUE_,*index_bg,1); + class_define_index(pba->index_bg_slip_eff_smg,_TRUE_,*index_bg,1); + + return _SUCCESS_; +} + + +/** + * Define hi_class bi indices. + * + * @param pba Input: pointer to background structure + * @return the error status + */ +int background_define_indices_bi_smg( + struct background *pba, + int * index_bi + ) { + + /* -> scalar field and its derivative wrt conformal time (only if needs to evolve the field) + * plus other parameters that might be integrated in certain parameterizations + */ + class_define_index(pba->index_bi_phi_smg, pba->field_evolution_smg,*index_bi,1); + class_define_index(pba->index_bi_phi_prime_smg, pba->field_evolution_smg,*index_bi,1); + + //if model needs to integrate M2 from alpha_M, declare an index + class_define_index(pba->index_bi_delta_M2_smg, pba->M2_evolution_smg,*index_bi,1); + + /* index for the smg energy density */ + class_define_index(pba->index_bi_rho_smg, pba->rho_evolution_smg,*index_bi,1); + + return _SUCCESS_; +} + + +/** +* In background_solve, after quantities {B} and {C} have been +* inegrated, this routine computes derived quantities, such as +* numerical derivatives of the alphas and functions that depend +* on combinations of alphas and derivatives. This is also the +* place where stability tests are done (in stability_tests_smg). +* +* @param pba Input: pointer to background structure +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_integration Output: vector of background quantities to be integrated, returned with proper initial values +* @return the error status +*/ +int background_solve_smg( + struct background *pba, + double * pvecback, + double * pvecback_integration + ) { + + /* define local variables */ + double a; + + /* necessary for calling array_interpolate(), but never used */ + int last_index; + int i; + + /** - second loop over lines, overwrite derivatives that can't be analytically computed from background_functions + * Fill the derivatives of the Bellini-Sawicki functions in pvecback + * This is done just by overwriting the pvecback entries corresponding to the relevant indice + */ + + double * pvecback_derivs; + class_alloc(pvecback_derivs,pba->bg_size*sizeof(double),pba->error_message); + + for (i=0; i < pba->bt_size; i++) { + + // write the derivatives in the structure + class_call(array_derivate_spline(pba->loga_table, // x_array + pba->bt_size, // int n_lines + pba->background_table, // array + pba->d2background_dloga2_table, // double * array_splined + pba->bg_size, // n_columns + pba->loga_table[i], // double x -> tau + &last_index, // int* last_index // this is something for the interpolation to talk to each other when using a loop + pvecback_derivs, // double * result + pba->bg_size, //result_size, from 1 to n_columns + pba->error_message), + pba->error_message, + pba->error_message); + + //Need to update pvecback + class_call(background_at_tau(pba, + pba->tau_table[i], + long_info, + inter_normal, + &last_index, //should be no problem to use the same one as for the derivatives + pvecback), + pba->error_message, + pba->error_message); + + a = pvecback[pba->index_bg_a]; + + /* - indices for scalar field (modified gravity) */ + class_call(derivatives_alphas_smg(pba, pvecback, pvecback_derivs, i), + pba->error_message, + pba->error_message + ); + + + class_call(gravity_functions_As_from_alphas_smg(pba, pvecback, pvecback_derivs), + pba->error_message, + pba->error_message); + + copy_to_background_table_smg(pba, i, pba->index_bg_kinetic_D_smg, pvecback[pba->index_bg_kinetic_D_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A0_smg, pvecback[pba->index_bg_A0_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A1_smg, pvecback[pba->index_bg_A1_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A2_smg, pvecback[pba->index_bg_A2_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A3_smg, pvecback[pba->index_bg_A3_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A4_smg, pvecback[pba->index_bg_A4_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A5_smg, pvecback[pba->index_bg_A5_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A6_smg, pvecback[pba->index_bg_A6_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A7_smg, pvecback[pba->index_bg_A7_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A8_smg, pvecback[pba->index_bg_A8_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A9_smg, pvecback[pba->index_bg_A9_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A10_smg, pvecback[pba->index_bg_A10_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A11_smg, pvecback[pba->index_bg_A11_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A12_smg, pvecback[pba->index_bg_A12_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A13_smg, pvecback[pba->index_bg_A13_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A14_smg, pvecback[pba->index_bg_A14_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A15_smg, pvecback[pba->index_bg_A15_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_A16_smg, pvecback[pba->index_bg_A16_smg]); + + if (pba->field_evolution_smg == _TRUE_) { + + class_call(gravity_functions_Cs_from_Bs_smg(pba, pvecback, pvecback_derivs), + pba->error_message, + pba->error_message); + + copy_to_background_table_smg(pba, i, pba->index_bg_kinetic_D_over_phiphi_smg, pvecback[pba->index_bg_kinetic_D_over_phiphi_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C0_smg, pvecback[pba->index_bg_C0_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C1_smg, pvecback[pba->index_bg_C1_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C2_smg, pvecback[pba->index_bg_C2_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C3_smg, pvecback[pba->index_bg_C3_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C4_smg, pvecback[pba->index_bg_C4_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C5_smg, pvecback[pba->index_bg_C5_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C6_smg, pvecback[pba->index_bg_C6_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C7_smg, pvecback[pba->index_bg_C7_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C8_smg, pvecback[pba->index_bg_C8_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C9_smg, pvecback[pba->index_bg_C9_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C10_smg, pvecback[pba->index_bg_C10_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C11_smg, pvecback[pba->index_bg_C11_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C12_smg, pvecback[pba->index_bg_C12_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C13_smg, pvecback[pba->index_bg_C13_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C14_smg, pvecback[pba->index_bg_C14_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C15_smg, pvecback[pba->index_bg_C15_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_C16_smg, pvecback[pba->index_bg_C16_smg]); + } + + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_1_smg, pvecback[pba->index_bg_lambda_1_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_2_smg, pvecback[pba->index_bg_lambda_2_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_3_smg, pvecback[pba->index_bg_lambda_3_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_4_smg, pvecback[pba->index_bg_lambda_4_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_5_smg, pvecback[pba->index_bg_lambda_5_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_6_smg, pvecback[pba->index_bg_lambda_6_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_7_smg, pvecback[pba->index_bg_lambda_7_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_8_smg, pvecback[pba->index_bg_lambda_8_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_9_smg, pvecback[pba->index_bg_lambda_9_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_10_smg, pvecback[pba->index_bg_lambda_10_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_11_smg, pvecback[pba->index_bg_lambda_11_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_cs2num_smg, pvecback[pba->index_bg_cs2num_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_cs2_smg, pvecback[pba->index_bg_cs2_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_G_eff_smg, pvecback[pba->index_bg_G_eff_smg]); + copy_to_background_table_smg(pba, i, pba->index_bg_slip_eff_smg, pvecback[pba->index_bg_slip_eff_smg]); + + /* Here we update the minimum values of the stability quantities + * test will be performed based on the lowest values + */ + if (a > pba->a_min_stability_test_smg && pba->parameters_tuned_smg == _TRUE_){ + if (pvecback[pba->index_bg_kinetic_D_smg] < pba->min_D_smg){ + pba->min_D_smg = pvecback[pba->index_bg_kinetic_D_smg]; + pba->a_min_D_smg = a; + } + if (pvecback[pba->index_bg_cs2_smg] <= pba->min_cs2_smg){ + pba->min_cs2_smg = pvecback[pba->index_bg_cs2_smg]; + pba->a_min_cs2_smg = a; + } + if (pvecback[pba->index_bg_M2_smg] < pba->min_M2_smg){ + pba->min_M2_smg = pvecback[pba->index_bg_M2_smg]; + pba->a_min_M2_smg = a; + } + if (pvecback[pba->index_bg_tensor_excess_smg] + 1. < pba->min_ct2_smg){ + pba->min_ct2_smg = 1. + pvecback[pba->index_bg_tensor_excess_smg]; + pba->a_min_ct2_smg = a; + } + if (pvecback[pba->index_bg_braiding_smg] < pba->min_bra_smg){ + pba->min_bra_smg = pvecback[pba->index_bg_braiding_smg]; + } + if (pvecback[pba->index_bg_braiding_smg] > pba->max_bra_smg){ + pba->max_bra_smg = pvecback[pba->index_bg_braiding_smg]; + } + } + + } + + class_call_except( + stability_tests_smg(pba, pvecback, pvecback_integration), + pba->error_message, + pba->error_message, + free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba); + ); + + /* Yet another (third!) loop to make sure the background table makes sense + */ + for (i=0; i < pba->bt_size; i++) { + + //Need to update pvecback + class_call(background_at_tau(pba, + pba->tau_table[i], + long_info, + inter_normal, + &last_index, //should be no problem to use the same one as for the derivatives + pvecback), + pba->error_message, + pba->error_message); + + // NOTE: note that the derivative is now calculated w.r.t. loga, while our _prime are w.r.t. tau + double factor = pvecback[pba->index_bg_a]*pvecback[pba->index_bg_H]; + double d_over_dtau; + + //write the derivatives in the structure + class_call(array_derivate_spline(pba->loga_table, // x_array + pba->bt_size, // int n_lines + pba->background_table, // array + pba->d2background_dloga2_table, // double * array_splined + pba->bg_size, // n_columns + pba->loga_table[i], // double x -> tau + &last_index, // int* last_index // this is something for the interpolation to talk to each other when using a loop + pvecback_derivs, // double * result + pba->bg_size, //result_size, from 1 to n_columns + pba->error_message), + pba->error_message, + pba->error_message); + + //cs2num' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_cs2num_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_cs2num_prime_smg, d_over_dtau); + + //D' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_kinetic_D_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_kinetic_D_prime_smg, d_over_dtau); + + if (pba->field_evolution_smg == _TRUE_) { + //D_over_phiphi' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_kinetic_D_over_phiphi_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_kinetic_D_over_phiphi_prime_smg, d_over_dtau); + } + + //A9' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_A9_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_A9_prime_smg, d_over_dtau); + + //A10' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_A10_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_A10_prime_smg, d_over_dtau); + + //A12' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_A12_smg]; + + //A13' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_A13_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_A13_prime_smg, d_over_dtau); + + if (pba->field_evolution_smg == _TRUE_) { + //C9' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_C9_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_C9_prime_smg, d_over_dtau); + + //C10' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_C10_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_C10_prime_smg, d_over_dtau); + + //C12' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_C12_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_C12_prime_smg, d_over_dtau); + + //C13' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_C13_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_C13_prime_smg, d_over_dtau); + } + + //lambda_2' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_lambda_2_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_2_prime_smg, d_over_dtau); + + //lambda_8' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_lambda_8_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_8_prime_smg, d_over_dtau); + + //lambda_9' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_lambda_9_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_9_prime_smg, d_over_dtau); + + //lambda_11' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_lambda_11_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_lambda_11_prime_smg, d_over_dtau); + + + // check if any of the values becomes nan + int j = 0; + while (j < pba->bg_size){ + class_test_except(isnan(pvecback[j]) && (pba->parameters_tuned_smg == _TRUE_), + pba->error_message, + free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), + "pvecback[%i] = %e at a = %e in background!",j,pvecback[j],pvecback[pba->index_bg_a]); + j++; + } + + } + + free(pvecback_derivs); //free the structure + + return _SUCCESS_; + +} + + +/** +* Send _smg information to the standard output. +* +* @param pba Input: pointer to background structure +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_integration Output: vector of background quantities to be integrated, returned with proper initial values +* @return the error status +*/ +int background_print_stdout_smg( + struct background *pba, + double * pvecback, + double * pvecback_integration + ) { + + printf(" -> Omega_smg = %f, wanted %f ",pvecback[pba->index_bg_rho_smg]/pvecback[pba->index_bg_rho_crit], pba->Omega0_smg); + if(pba->has_lambda == _TRUE_) + printf(", Omega_Lambda = %f", pba->Omega0_lambda); + printf("\n"); + if (pba->background_verbose > 3) { + printf("Minimal stability values: cs2 = %g, ct2 = %g, D = %g, M2 = %g \n",pba->min_cs2_smg,pba->min_ct2_smg,pba->min_D_smg,pba->min_M2_smg); + } + + if (pba->field_evolution_smg == _TRUE_){ + pba->xi_0_smg = pvecback_integration[pba->index_bi_phi_prime_smg]*pvecback[pba->index_bg_H]/pow(pba->H0,2); + pba->phi_0_smg = pvecback_integration[pba->index_bi_phi_smg]; + } + + gravity_models_print_stdout_smg(pba); + + return _SUCCESS_; +} + + +/** +* For each integrated variable fix the initial condition. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_integration Output: vector of background quantities to be integrated, returned with proper initial values +* @param ptr_rho_rad Input: pointer to the density of radiation +* @return the error status +*/ +int background_initial_conditions_smg( + struct background *pba, + double a, + double * pvecback, + double * pvecback_integration, + double * ptr_rho_rad + ) { + + double rho_rad = *ptr_rho_rad; + double phi_scale, V_scale,p1,p2,p3; //smg related variables + int i = 0; + + /** - fix initial value of modified gravity + * run over all possible model cases + */ + + pba->initial_conditions_set_smg = _FALSE_; + + //default value, can override later + if (pba->M2_evolution_smg ==_TRUE_){ + pvecback_integration[pba->index_bi_delta_M2_smg] = 0.; + } + + class_call(gravity_models_initial_conditions_smg(pba, a, pvecback, pvecback_integration, &rho_rad), + pba->error_message, + pba->error_message); + + if (pba->field_evolution_smg == _TRUE_){ + if (pba->background_verbose>3) + printf(" -> Initial conditions: phi = %e, phi' = %e \n",pvecback_integration[pba->index_bi_phi_smg],pvecback_integration[pba->index_bi_phi_prime_smg]); + + class_test_except(!isfinite(pvecback_integration[pba->index_bi_phi_smg]) || !isfinite(pvecback_integration[pba->index_bi_phi_smg]), + pba->error_message, + free(pvecback);free(pvecback_integration);background_free(pba), + "initial phi = %e phi_prime = %e -> check initial conditions", + pvecback_integration[pba->index_bi_phi_smg],pvecback_integration[pba->index_bi_phi_smg]); + } + if (pba->M2_evolution_smg == _TRUE_) + if (pba->background_verbose>3) + printf(" -> Initial conditions: delta_M2 = %e \n",pvecback_integration[pba->index_bi_delta_M2_smg]); + + return _SUCCESS_; +} + + +/** + * Subroutine for formatting background _smg output + * + * @param pba Input: pointer to background structure + * @param titles Ouput: name of columns when printing the background table + * @return the error status + */ +int background_store_columntitles_smg( + struct background *pba, + char titles[_MAXTITLESTRINGLENGTH_] + ) { + + class_store_columntitle(titles,"(.)rho_smg",_TRUE_); + class_store_columntitle(titles,"(.)p_smg",_TRUE_); + + if (pba->output_background_smg >= 1){ + class_store_columntitle(titles,"M*^2_smg",_TRUE_); + class_store_columntitle(titles,"D_M*^2_smg",_TRUE_); + class_store_columntitle(titles,"kineticity_smg",_TRUE_); + class_store_columntitle(titles,"braiding_smg",_TRUE_); + class_store_columntitle(titles,"tensor_excess_smg",_TRUE_); + class_store_columntitle(titles,"M2_running_smg",_TRUE_); + class_store_columntitle(titles,"beyond_horndeski_smg",_TRUE_); + class_store_columntitle(titles,"c_s^2",_TRUE_); + class_store_columntitle(titles,"kin (D)",_TRUE_); + class_store_columntitle(titles,"Current",pba->field_evolution_smg); + class_store_columntitle(titles,"Shift",pba->field_evolution_smg); + } + + if (pba->output_background_smg >= 2){ + class_store_columntitle(titles,"phi_smg",pba->field_evolution_smg); + class_store_columntitle(titles,"phi'",pba->field_evolution_smg); + class_store_columntitle(titles,"phi''",pba->field_evolution_smg); + class_store_columntitle(titles,"E0",pba->field_evolution_smg); + class_store_columntitle(titles,"E1",pba->field_evolution_smg); + class_store_columntitle(titles,"E2",pba->field_evolution_smg); + class_store_columntitle(titles,"E3",pba->field_evolution_smg); + class_store_columntitle(titles,"P0",pba->field_evolution_smg); + class_store_columntitle(titles,"P1",pba->field_evolution_smg); + class_store_columntitle(titles,"P2",pba->field_evolution_smg); + class_store_columntitle(titles,"R0",pba->field_evolution_smg); + class_store_columntitle(titles,"R1",pba->field_evolution_smg); + class_store_columntitle(titles,"R2",pba->field_evolution_smg); + class_store_columntitle(titles,"G_eff_smg",_TRUE_); + class_store_columntitle(titles,"slip_eff_smg",_TRUE_); + } + + if (pba->output_background_smg >= 3){ + class_store_columntitle(titles,"kineticity_prime_smg",_TRUE_); + class_store_columntitle(titles,"braiding_prime_smg",_TRUE_); + class_store_columntitle(titles,"kineticity_over_phiphi_smg",pba->field_evolution_smg); + class_store_columntitle(titles,"braiding_over_phi_smg",pba->field_evolution_smg); + class_store_columntitle(titles,"beyond_horndeski_over_phi_smg",pba->field_evolution_smg); + class_store_columntitle(titles,"kin_over_phiphi (D)",pba->field_evolution_smg); + class_store_columntitle(titles,"A0",_TRUE_); + class_store_columntitle(titles,"A1",_TRUE_); + class_store_columntitle(titles,"A2",_TRUE_); + class_store_columntitle(titles,"A3",_TRUE_); + class_store_columntitle(titles,"A4",_TRUE_); + class_store_columntitle(titles,"A5",_TRUE_); + class_store_columntitle(titles,"A6",_TRUE_); + class_store_columntitle(titles,"A7",_TRUE_); + class_store_columntitle(titles,"A8",_TRUE_); + class_store_columntitle(titles,"A9",_TRUE_); + class_store_columntitle(titles,"A10",_TRUE_); + class_store_columntitle(titles,"A11",_TRUE_); + class_store_columntitle(titles,"A12",_TRUE_); + class_store_columntitle(titles,"A13",_TRUE_); + class_store_columntitle(titles,"A14",_TRUE_); + class_store_columntitle(titles,"A15",_TRUE_); + class_store_columntitle(titles,"A16",_TRUE_); + class_store_columntitle(titles,"B0",pba->field_evolution_smg); + class_store_columntitle(titles,"B1",pba->field_evolution_smg); + class_store_columntitle(titles,"B2",pba->field_evolution_smg); + class_store_columntitle(titles,"B3",pba->field_evolution_smg); + class_store_columntitle(titles,"B4",pba->field_evolution_smg); + class_store_columntitle(titles,"B5",pba->field_evolution_smg); + class_store_columntitle(titles,"B6",pba->field_evolution_smg); + class_store_columntitle(titles,"B7",pba->field_evolution_smg); + class_store_columntitle(titles,"B8",pba->field_evolution_smg); + class_store_columntitle(titles,"B9",pba->field_evolution_smg); + class_store_columntitle(titles,"B10",pba->field_evolution_smg); + class_store_columntitle(titles,"B11",pba->field_evolution_smg); + class_store_columntitle(titles,"B12",pba->field_evolution_smg); + class_store_columntitle(titles,"C0",pba->field_evolution_smg); + class_store_columntitle(titles,"C1",pba->field_evolution_smg); + class_store_columntitle(titles,"C2",pba->field_evolution_smg); + class_store_columntitle(titles,"C3",pba->field_evolution_smg); + class_store_columntitle(titles,"C4",pba->field_evolution_smg); + class_store_columntitle(titles,"C5",pba->field_evolution_smg); + class_store_columntitle(titles,"C6",pba->field_evolution_smg); + class_store_columntitle(titles,"C7",pba->field_evolution_smg); + class_store_columntitle(titles,"C8",pba->field_evolution_smg); + class_store_columntitle(titles,"C9",pba->field_evolution_smg); + class_store_columntitle(titles,"C10",pba->field_evolution_smg); + class_store_columntitle(titles,"C11",pba->field_evolution_smg); + class_store_columntitle(titles,"C12",pba->field_evolution_smg); + class_store_columntitle(titles,"C13",pba->field_evolution_smg); + class_store_columntitle(titles,"C14",pba->field_evolution_smg); + class_store_columntitle(titles,"C15",pba->field_evolution_smg); + class_store_columntitle(titles,"C16",pba->field_evolution_smg); + class_store_columntitle(titles,"lambda_1",_TRUE_); + class_store_columntitle(titles,"lambda_2",_TRUE_); + class_store_columntitle(titles,"lambda_3",_TRUE_); + class_store_columntitle(titles,"lambda_4",_TRUE_); + class_store_columntitle(titles,"lambda_5",_TRUE_); + class_store_columntitle(titles,"lambda_6",_TRUE_); + class_store_columntitle(titles,"lambda_7",_TRUE_); + class_store_columntitle(titles,"lambda_8",_TRUE_); + class_store_columntitle(titles,"lambda_9",_TRUE_); + class_store_columntitle(titles,"lambda_10",_TRUE_); + class_store_columntitle(titles,"lambda_11",_TRUE_); + class_store_columntitle(titles,"lambda_2_p",_TRUE_); + class_store_columntitle(titles,"lambda_8_p",_TRUE_); + class_store_columntitle(titles,"lambda_9_p",_TRUE_); + class_store_columntitle(titles,"lambda_11_p",_TRUE_); + class_store_columntitle(titles,"cs2num",_TRUE_); + class_store_columntitle(titles,"cs2num_p",_TRUE_); + } + + return _SUCCESS_; +} + + +/** + * Subroutine for writing the background _smg output + * + * @param pba Input: pointer to background structure + * @param pvecback Input: vector of background quantities + * @param dataptr Ouput: pointer to 1d array storing all the background table + * @param ptr_storeidx Ouput: pointer to index with number of columns + * @return the error status + */ +int background_output_data_smg( + struct background *pba, + double * pvecback, + double * dataptr, + int * ptr_storeidx + ) { + + int storeidx = *ptr_storeidx; + + class_store_double(dataptr,pvecback[pba->index_bg_rho_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_p_smg],_TRUE_,storeidx); + + if (pba->output_background_smg >= 1){ + class_store_double(dataptr,pvecback[pba->index_bg_M2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_delta_M2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_kineticity_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_braiding_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_tensor_excess_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_M2_running_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_beyond_horndeski_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_cs2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_kinetic_D_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_current_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_shift_smg],pba->field_evolution_smg,storeidx); + } + + if (pba->output_background_smg >= 2){ + class_store_double(dataptr,pvecback[pba->index_bg_phi_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_prime_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_E0_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_E1_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_E2_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_E3_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_P0_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_P1_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_P2_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_R0_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_R1_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_R2_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_G_eff_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_slip_eff_smg],_TRUE_,storeidx); + } + + if (pba->output_background_smg >= 3){ + class_store_double(dataptr,pvecback[pba->index_bg_kineticity_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_braiding_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_kineticity_over_phiphi_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_braiding_over_phi_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_beyond_horndeski_over_phi_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_kinetic_D_over_phiphi_smg],pba->field_evolution_smg,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A0_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A1_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A3_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A4_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A5_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A6_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A7_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A8_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A9_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A10_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A11_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A12_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A13_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A14_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A15_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_A16_smg],_TRUE_,storeidx); + + if (pba->field_evolution_smg == _TRUE_) { + class_store_double(dataptr,pvecback[pba->index_bg_B0_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B1_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B3_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B4_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B5_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B6_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B7_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B8_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B9_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B10_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B11_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_B12_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C0_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C1_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C3_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C4_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C5_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C6_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C7_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C8_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C9_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C10_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C11_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C12_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C13_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C15_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_C16_smg],_TRUE_,storeidx); + } + + class_store_double(dataptr,pvecback[pba->index_bg_lambda_1_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_2_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_3_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_4_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_5_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_6_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_7_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_8_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_9_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_10_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_11_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_2_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_8_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_9_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_lambda_11_prime_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_cs2num_smg],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_cs2num_prime_smg],_TRUE_,storeidx); + } + + *ptr_storeidx = storeidx; + + return _SUCCESS_; +} + + +/** + * Derivatives of {B} _smg quantities + * + * @param pba Input: pointer to background structure + * @param a Input: scale factor + * @param pvecback Input: vector of background quantities + * @param y Input: current vector of integrated quantities (with index_bi) + * @param dy Output: current derivative of y w.r.t log(a) + * @return the error status + */ +int background_derivs_smg( + struct background *pba, + double a, + double * pvecback, + double * y, + double * dy + ) { + + double H = pvecback[pba->index_bg_H]; + + /** - calculate /f$ \rho'(\tau)= -3aH (1+w) \rho /f$ written as \f$ d\rho/dloga = \rho' / (aH) \f$ */ + if (pba->rho_evolution_smg == _TRUE_){ + dy[pba->index_bi_rho_smg] = pvecback[pba->index_bg_rho_prime_smg]/a/H; + } + + /** - Scalar field equation: \f$ \phi''(t) + 2 a H \phi'(t) + a^2 dV = 0 \f$ + (note H is wrt cosmic time) **/ + if(pba->field_evolution_smg){ + dy[pba->index_bi_phi_smg] = y[pba->index_bi_phi_prime_smg]/a/H; + dy[pba->index_bi_phi_prime_smg] = pvecback[pba->index_bg_phi_prime_prime_smg]/a/H; + } + /** - Planck mass equation (if parameterization in terms of alpha_m **/ + if (pba->M2_evolution_smg == _TRUE_) + dy[pba->index_bi_delta_M2_smg] = pvecback[pba->index_bg_M2_running_smg]*(y[pba->index_bi_delta_M2_smg] + 1); //in this case the running has to be integrated (eq 3.3 of 1404.3713 yields M2' = aH\alpha_M) + + return _SUCCESS_; +} + + +/** +* Stability tests for smg. +* +* @param pba Input: pointer to background structure +* @param pvecback Input: vector of background quantities +* @param pvecback_integration Input: vector of background quantities to be integrated +* @return the error status +*/ +int stability_tests_smg( + struct background *pba, + double * pvecback, + double * pvecback_integration + ) { + + /* Horndeski stability tests + * only if not overriden + * and model is tuned! + */ + if ((pba->parameters_tuned_smg == _TRUE_) && + (pba->skip_stability_tests_smg == _FALSE_)){ + + class_test(pba->min_D_smg <= -fabs(pba->D_safe_smg), + pba->error_message, + "Ghost instability for scalar field perturbations with minimum D=%g at a=%e\n", pba->min_D_smg, pba->a_min_D_smg); + class_test(pba->min_cs2_smg < -fabs(pba->cs2_safe_smg), + pba->error_message, + "Gradient instability for scalar field perturbations with minimum c_s^2=%g at a=%e\n", pba->min_cs2_smg, pba->a_min_cs2_smg); + class_test(pba->min_M2_smg < -fabs(pba->M2_safe_smg), + pba->error_message, + "Ghost instability for metric tensor perturbations with minimum M*^2=%g at a=%e\n", pba->min_M2_smg, pba->a_min_M2_smg); + class_test(pba->min_ct2_smg < -fabs(pba->ct2_safe_smg), + pba->error_message, + "Gradient instability for metric tensor perturbations with minimum c_t^2=%g at a=%e\n",pba->min_ct2_smg,pba->a_min_ct2_smg); + + } + + return _SUCCESS_; +} + + +/** +* Numerical derivatives of the alphas. +* +* @param pba Input: pointer to background structure +* @param pvecback Input: vector of background quantities +* @param pvecback_derivs Output: vector of derivatives +* @param i Input: counter for the time step +* @return the error status +*/ +int derivatives_alphas_smg( + struct background *pba, + double * pvecback, + double * pvecback_derivs, + int i + ) { + + /* -> write in the table (overwrite the alpha time derivatives, which were set to nan in background_functions) + * direction of copy: add the corresponding indices to the coordinates + * thing to be copied: the address (&) to the element of pvecback corresponding to the index we want + * size: just a single double number + * -> repeat for all necessary quantities + */ + + /* necessary for calling array_interpolate(), but never used */ + int last_index; + + // NOTE: note that the derivative is now calculated w.r.t. log(a), while our _prime are w.r.t. tau + double factor = pvecback[pba->index_bg_a]*pvecback[pba->index_bg_H]; + double d_over_dtau; + + /*NOTE: here we compute the derivatives of quantities coputed in background_gravity_functions_smg during the integration. + * for quantities that depend on these derivatives (e.g. the gamma_i functions determining the effective mass) + * there is an additional loop at the end of background_solve + */ + + // Kineticity' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_kineticity_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_kineticity_prime_smg, d_over_dtau); + + //Braiding' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_braiding_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_braiding_prime_smg, d_over_dtau); + + //Planck mass run rate' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_M2_running_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_M2_running_prime_smg, d_over_dtau); + + //Tensor excess' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_tensor_excess_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_tensor_excess_prime_smg, d_over_dtau); + + //Beyond horndeski' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_beyond_horndeski_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_beyond_horndeski_prime_smg, d_over_dtau); + + if (pba->field_evolution_smg == _TRUE_) { + //Braiding_over_phi' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_braiding_over_phi_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_braiding_over_phi_prime_smg, d_over_dtau); + + //Beyond_horndeski_over_phi' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_beyond_horndeski_over_phi_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_beyond_horndeski_over_phi_prime_smg, d_over_dtau); + } + + //H'' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_H_prime]; + copy_to_background_table_smg(pba, i, pba->index_bg_H_prime_prime, d_over_dtau); + + // p_tot_wo_smg' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_p_tot_wo_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_p_tot_wo_prime_smg, d_over_dtau); + + // p_smg' + d_over_dtau = factor*pvecback_derivs[pba->index_bg_p_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_p_prime_smg, d_over_dtau); + + // Planck's mass running + // Only need to compute it if neither self consistent field evolution nor evolving M2 in terms of alpha_M + // check equation 3.3 of Bellini & Sawicki 2014 + + if (pba->field_evolution_smg == _FALSE_ && pba->M2_evolution_smg == _FALSE_){ + double alpha_M = pvecback_derivs[pba->index_bg_delta_M2_smg]/pvecback[pba->index_bg_M2_smg]; + copy_to_background_table_smg(pba, i, pba->index_bg_M2_running_smg, alpha_M); + } + + if(pba->background_verbose > 15 && fabs(1. - pvecback[pba->index_bg_H_prime]/pvecback_derivs[pba->index_bg_H]/factor)>1e-8) +printf("a = %g, (delta H')/H' = %g \n", pvecback[pba->index_bg_a], 1. - pvecback[pba->index_bg_H_prime]/pvecback_derivs[pba->index_bg_H]/factor); + + return _SUCCESS_; +} + + +/** +* Copy to the background table _smg quantities. +* +* @param pba Input: pointer to background structure +* @param row Input: table row +* @param column Input: table column +* @param value Input: value to copy +* @return the error status +*/ +int copy_to_background_table_smg( + struct background *pba, + int row, + int column, + double value + ) { + + /* needed for growing table */ + void * memcopy_result; + + memcopy_result = memcpy(pba->background_table + row*pba->bg_size + column, + &value, 1*sizeof(double)); + class_test(memcopy_result != pba->background_table + row*pba->bg_size + column, + pba->error_message, "cannot copy data back to pba->background_table"); + + return _SUCCESS_; +} diff --git a/gravity_smg/fourier_smg.c b/gravity_smg/fourier_smg.c new file mode 100644 index 00000000..2e5f54e7 --- /dev/null +++ b/gravity_smg/fourier_smg.c @@ -0,0 +1,64 @@ +/** @file fourier_smg.c Documented fourier_smg module + * + * Emilio Bellini, Ignacy Sawicki, Miguel Zumalacarregui, 2024 + * + * Additional functions for the fourier module. + * It contains all the hi_class related functions (_smg) + * that are used by fourier.c. In this way the main hi_class + * modifications are stored here and the standard Class modules + * remain cleaner. + * + * The following nomenclature has been adopted: + * + * -# all the functions end with "_smg" to make them easily + * recognizable + * -# all the functions starting with "fourier_" are + * directly called by fourier.c or the classy wrapper + * -# all the functions that do not start with "fourier_" + * are only used internally in fourier_smg.c + */ + +#include "fourier_smg.h" + + +/** + * Computes the correction to the virialized halo overdensity in + * modified gravity models. This is necessary to correct the HMCode + * method presented in Mead et al. 1505.07833. + * For now corrections have been calculated only for Jordan-Brans-Dicke + * models with a procedure described in Joudaki et al. 2010.15278. + * + * @param pba Input: pointer to background structure + * @param z_at_tau Input: redshift, at which to compute the nl correction + * @param Delta_v_0 Input/Output: value of the virialized overdensity + * @return the error status + */ +int fourier_hmcode_Delta_v_0_smg( + struct background *pba, + double z_at_tau, + double * Delta_v_0 + ) { + + // Corrections are implemented only for Brans-Dicke + if (pba->gravity_model_smg == brans_dicke) { + + // Local variables + double d0, fac; + double omega = pba->parameters_smg[1]; + if(omega<50.){ + printf("WARNING: Currently HMcode has been fitted only for omega>50. Setting omega=50.\n"); + omega = 50.; + } + + d0 = 320.0+40.0*pow(z_at_tau, 0.26); + fac = atan(pow(abs(omega-50.0)*0.001, 0.2))*2.0/acos(-1.0); + + // Fitting formula based on simulations + *Delta_v_0 = d0 + (*Delta_v_0 - d0) * fac; + } + else{ + printf("WARNING: Currently HMcode is implemented only for Brans-Dicke.\n"); + } + + return _SUCCESS_; +} diff --git a/gravity_smg/gravity_functions_smg.c b/gravity_smg/gravity_functions_smg.c new file mode 100644 index 00000000..fdf394da --- /dev/null +++ b/gravity_smg/gravity_functions_smg.c @@ -0,0 +1,1255 @@ +/** @file gravity_functions_smg.c Documented gravity_functions_smg module + * + * Emilio Bellini, Ignacy Sawicki, Miguel Zumalacarregui, 2024 + * + * This module contains all the complicated expressions + * used in hi_class. In particular, they are casted in + * different functions, depending on their type: + * - background (first Es and then Ps and Rs) as a functions of the Gs + * - alphas as a functions of the Gs + * - As as a functions of the alphas + * - Bs as a functions of the Gs + * - Cs as a functions of the As + * + * The purpose of this module is twofold: + * - isolate long expressions in one single file + * - have a file that can be optimized for specific theories. + * Indeed, the problem of numerical errors can be alleviated + * when analytic cancellations greatly simplify long expressions + */ + +#include "gravity_functions_smg.h" + + +/** +* Get gravity functions Es from Gs. These are the functions +* entering the Friedmann time-time constraint, which is +* cubic in H for beyond Horndeski theories. In background_smg +* these functions are used to solve algebrically for H. The form +* is the following: +* +* E0 + E1 H + E3 H^3 = E2 H^2 +* +* NOTE: H is NOT the curly H!! +* NOTE: added rho_tot and p_tot do not contain _smg +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback_B Input: vector containing all {B} quantities +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pgf Input: pointer to G_functions_and_derivs structure +* @return the error status +*/ +int gravity_functions_Es_from_Gs_smg( + struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf + ) { + + /* Define local variables */ + double phi = pvecback_B[pba->index_bi_phi_smg]; + double phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; + double X = 0.5*pow(phi_prime/a,2); + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + + double G2=pgf->G2; + double G2_X=pgf->G2_X, G2_XX=pgf->G2_XX, G2_XXX=pgf->G2_XXX; + double G2_phi=pgf->G2_phi, G2_Xphi=pgf->G2_Xphi, G2_XXphi=pgf->G2_XXphi; + double G2_phiphi=pgf->G2_phiphi, G2_Xphiphi=pgf->G2_Xphiphi; + double G3_X=pgf->G3_X, G3_XX=pgf->G3_XX, G3_XXX=pgf->G3_XXX; + double G3_phi=pgf->G3_phi, G3_Xphi=pgf->G3_Xphi, G3_XXphi=pgf->G3_XXphi; + double G3_phiphi=pgf->G3_phiphi, G3_Xphiphi=pgf->G3_Xphiphi; + double G3_phiphiphi=pgf->G3_phiphiphi; + double G4=pgf->G4, DG4=pgf->DG4; + double G4_X=pgf->G4_X, G4_XX=pgf->G4_XX, G4_XXX=pgf->G4_XXX, G4_XXXX=pgf->G4_XXXX; + double G4_phi=pgf->G4_phi, G4_Xphi=pgf->G4_Xphi, G4_XXphi=pgf->G4_XXphi, G4_XXXphi=pgf->G4_XXXphi; + double G4_phiphi=pgf->G4_phiphi, G4_Xphiphi=pgf->G4_Xphiphi, G4_XXphiphi=pgf->G4_XXphiphi; + double G4_phiphiphi=pgf->G4_phiphiphi, G4_Xphiphiphi=pgf->G4_Xphiphiphi; + double G5_X=pgf->G5_X, G5_XX=pgf->G5_XX, G5_XXX=pgf->G5_XXX, G5_XXXX=pgf->G5_XXXX; + double G5_phi=pgf->G5_phi, G5_Xphi=pgf->G5_Xphi, G5_XXphi=pgf->G5_XXphi, G5_XXXphi=pgf->G5_XXXphi; + double G5_phiphi=pgf->G5_phiphi, G5_Xphiphi=pgf->G5_Xphiphi, G5_XXphiphi=pgf->G5_XXphiphi; + double G5_phiphiphi=pgf->G5_phiphiphi, G5_Xphiphiphi=pgf->G5_Xphiphiphi; + double F4=pgf->F4; + double F4_X=pgf->F4_X, F4_XX=pgf->F4_XX, F4_XXX=pgf->F4_XXX; + double F4_phi=pgf->F4_phi, F4_Xphi=pgf->F4_Xphi, F4_XXphi=pgf->F4_XXphi; + double F4_phiphi=pgf->F4_phiphi, F4_Xphiphi=pgf->F4_Xphiphi; + double F5=pgf->F5; + double F5_X=pgf->F5_X, F5_XX=pgf->F5_XX, F5_XXX=pgf->F5_XXX; + double F5_phi=pgf->F5_phi, F5_Xphi=pgf->F5_Xphi, F5_XXphi=pgf->F5_XXphi; + double F5_phiphi=pgf->F5_phiphi, F5_Xphiphi=pgf->F5_Xphiphi; + + pvecback[pba->index_bg_E0_smg] = + 1./3.*( + + 3.*rho_tot - G2 + 2.*X*(G2_X - G3_phi) + ); + + pvecback[pba->index_bg_E1_smg] = + - 2.*( + + G4_phi - X*(G3_X - 2.*G4_Xphi) + )*phi_prime/a; + + pvecback[pba->index_bg_E2_smg] = + 2.*( + 1./2. + DG4 - X*(4.*G4_X - 3.*G5_phi) + - 2.*pow(X,2)*(2.*G4_XX - G5_Xphi + 10.*F4) - 8.*pow(X,3)*F4_X + ); + + pvecback[pba->index_bg_E3_smg] = + 2./3.*X*( + + 5.*G5_X + 2.*X*(G5_XX - 42.*F5) - 24.*pow(X,2)*F5_X + )*phi_prime/a; + + return _SUCCESS_; +} + + +/** +* Get gravity functions Ps and Rs from Gs. These are the functions +* entering the Friedmann space-space equation and the scalar field +* one. In background_smg these functions are used to solve algebrically +* for H' and phi''. The form is the following: +* +* P0 phi'' + P1 H' + P2 = 0 +* R0 phi'' + R1 H' + R2 = 0 +* +* NOTE: H is NOT the curly H!! +* NOTE: added rho_tot and p_tot do not contain _smg +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback_B Input: vector containing all {B} quantities +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pgf Input: pointer to G_functions_and_derivs structure +* @return the error status +*/ +int gravity_functions_Ps_and_Rs_from_Gs_smg( + struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf + ) { + + /* Define local variables */ + double H = pvecback[pba->index_bg_H]; + double phi = pvecback_B[pba->index_bi_phi_smg]; + double phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; + double X = 0.5*pow(phi_prime/a,2); + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + + double G2=pgf->G2; + double G2_X=pgf->G2_X, G2_XX=pgf->G2_XX, G2_XXX=pgf->G2_XXX; + double G2_phi=pgf->G2_phi, G2_Xphi=pgf->G2_Xphi, G2_XXphi=pgf->G2_XXphi; + double G2_phiphi=pgf->G2_phiphi, G2_Xphiphi=pgf->G2_Xphiphi; + double G3_X=pgf->G3_X, G3_XX=pgf->G3_XX, G3_XXX=pgf->G3_XXX; + double G3_phi=pgf->G3_phi, G3_Xphi=pgf->G3_Xphi, G3_XXphi=pgf->G3_XXphi; + double G3_phiphi=pgf->G3_phiphi, G3_Xphiphi=pgf->G3_Xphiphi; + double G3_phiphiphi=pgf->G3_phiphiphi; + double G4=pgf->G4, DG4=pgf->DG4; + double G4_X=pgf->G4_X, G4_XX=pgf->G4_XX, G4_XXX=pgf->G4_XXX, G4_XXXX=pgf->G4_XXXX; + double G4_phi=pgf->G4_phi, G4_Xphi=pgf->G4_Xphi, G4_XXphi=pgf->G4_XXphi, G4_XXXphi=pgf->G4_XXXphi; + double G4_phiphi=pgf->G4_phiphi, G4_Xphiphi=pgf->G4_Xphiphi, G4_XXphiphi=pgf->G4_XXphiphi; + double G4_phiphiphi=pgf->G4_phiphiphi, G4_Xphiphiphi=pgf->G4_Xphiphiphi; + double G5_X=pgf->G5_X, G5_XX=pgf->G5_XX, G5_XXX=pgf->G5_XXX, G5_XXXX=pgf->G5_XXXX; + double G5_phi=pgf->G5_phi, G5_Xphi=pgf->G5_Xphi, G5_XXphi=pgf->G5_XXphi, G5_XXXphi=pgf->G5_XXXphi; + double G5_phiphi=pgf->G5_phiphi, G5_Xphiphi=pgf->G5_Xphiphi, G5_XXphiphi=pgf->G5_XXphiphi; + double G5_phiphiphi=pgf->G5_phiphiphi, G5_Xphiphiphi=pgf->G5_Xphiphiphi; + double F4=pgf->F4; + double F4_X=pgf->F4_X, F4_XX=pgf->F4_XX, F4_XXX=pgf->F4_XXX; + double F4_phi=pgf->F4_phi, F4_Xphi=pgf->F4_Xphi, F4_XXphi=pgf->F4_XXphi; + double F4_phiphi=pgf->F4_phiphi, F4_Xphiphi=pgf->F4_Xphiphi; + double F5=pgf->F5; + double F5_X=pgf->F5_X, F5_XX=pgf->F5_XX, F5_XXX=pgf->F5_XXX; + double F5_phi=pgf->F5_phi, F5_Xphi=pgf->F5_Xphi, F5_XXphi=pgf->F5_XXphi; + double F5_phiphi=pgf->F5_phiphi, F5_Xphiphi=pgf->F5_Xphiphi; + + pvecback[pba->index_bg_P0_smg] = + - 2./3.*( + + G4_phi - X*(G3_X - 2.*G4_Xphi) + - 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*H*phi_prime/a + - X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,2) + )/a; + + pvecback[pba->index_bg_P1_smg] = + - 2./3.*( + + 1. + 2.*DG4 - 2.*X*(2.*G4_X - G5_phi) + - 8.*F4*pow(X,2) - 2.*X*(G5_X - 12.*X*F5 )*H*phi_prime/a + ); + + pvecback[pba->index_bg_P2_smg] = + - 1./3.*a*( + + 3.*(rho_tot + p_tot) + + 2.*X*(G2_X - 2.*G3_phi + 2.*G4_phiphi) + - 4.*( + + G4_phi - X*(2.*G3_X - 6.*G4_Xphi + G5_phiphi) + 4.*pow(X,2)*F4_phi + )*H*phi_prime/a + + 4.*X*( + + 5.*(G4_X - G5_phi) + 2.*X*(5.*G4_XX - 3.*G5_Xphi + 20.*F4) + + 4.*pow(X,2)*(5.*F4_X + 3.*F5_phi) + )*pow(H,2) + + 4.*X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,3)*phi_prime/a + ); + + pvecback[pba->index_bg_R0_smg] = + 1./3.*( + + ( + + G2_X - 2.*G3_phi + 2.*X*(G2_XX - G3_Xphi) + )/a/H + + 6.*( + + G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi) + )*pow(a,-2)*phi_prime + + 2.*( + + 3.*G5_X + X*(7.*G5_XX - 120.*F5) + + 2.*pow(X,2)*(G5_XXX - 66.*F5_X) - 24.*pow(X,3)*F5_XX + )*pow(a,-2)*pow(H,2)*phi_prime + + 6.*( + + G4_X - G5_phi + X*(8.*G4_XX - 5.*G5_Xphi + 24.*F4) + + 2.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + 8.*pow(X,3)*F4_XX + )*H/a + ); + + pvecback[pba->index_bg_R1_smg] = + 2.*( + - (G4_phi - X*(G3_X - 2.*G4_Xphi))/H + + 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*phi_prime/a + + X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + )*H + ); + + pvecback[pba->index_bg_R2_smg] = + 1./3.*( + - (G2_phi - 2.*X*(G2_Xphi - G3_phiphi))*a/H + + 2.*( + + G2_X - 2.*G3_phi - X*(G2_XX - 4.*G3_Xphi + 6.*G4_Xphiphi) + )*phi_prime + - 2.*( + + 6.*G4_phi - 3.*X*(G3_X - G5_phiphi) + + 6.*pow(X,2)*(G3_XX - 4.*G4_XXphi + G5_Xphiphi - 6.*F4_phi) + - 24.*pow(X,3)*F4_Xphi + )*a*H + + 4.*( + + 3.*(G4_X - G5_phi) - X*(3.*G4_XX - 4.*G5_Xphi) + - 2.*pow(X,2)*(3.*G4_XXX - 2.*G5_XXphi + 18.*F4_X + 12.*F5_phi) + - 12.*pow(X,3)*(F4_XX + F5_Xphi) + )*pow(H,2)*phi_prime + + 2.*X*( + + 3.*G5_X - 4.*X*(2.*G5_XX - 15.*F5) + - 4.*pow(X,2)*(G5_XXX - 48.*F5_X) + 48.*pow(X,3)*F5_XX + )*a*pow(H,3) + ); + + return _SUCCESS_; +} + + +/** +* Get building blocks from Gs. These are the basic functions +* used to build an effective theory for dark energy. They are: +* - density and pressure of the background _smg field +* - an effective Planck mass and the alphas (K, B, M, T, H) +* - current and shift of the background _smg field (these are not +* passed to the perturbation module, as they are dependent on +* the others) +* +* NOTE: H is NOT the curly H!! +* NOTE: added rho_tot and p_tot do not contain _smg +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback_B Input: vector containing all {B} quantities +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pgf Input: pointer to G_functions_and_derivs structure +* @return the error status +*/ +int gravity_functions_building_blocks_from_Gs_smg( + struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf + ) { + + /* Define local variables */ + double H = pvecback[pba->index_bg_H]; + double phi = pvecback_B[pba->index_bi_phi_smg]; + double phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; + double X = 0.5*pow(phi_prime/a,2); + + double G2=pgf->G2; + double G2_X=pgf->G2_X, G2_XX=pgf->G2_XX, G2_XXX=pgf->G2_XXX; + double G2_phi=pgf->G2_phi, G2_Xphi=pgf->G2_Xphi, G2_XXphi=pgf->G2_XXphi; + double G2_phiphi=pgf->G2_phiphi, G2_Xphiphi=pgf->G2_Xphiphi; + double G3_X=pgf->G3_X, G3_XX=pgf->G3_XX, G3_XXX=pgf->G3_XXX; + double G3_phi=pgf->G3_phi, G3_Xphi=pgf->G3_Xphi, G3_XXphi=pgf->G3_XXphi; + double G3_phiphi=pgf->G3_phiphi, G3_Xphiphi=pgf->G3_Xphiphi; + double G3_phiphiphi=pgf->G3_phiphiphi; + double G4=pgf->G4, DG4=pgf->DG4; + double G4_X=pgf->G4_X, G4_XX=pgf->G4_XX, G4_XXX=pgf->G4_XXX, G4_XXXX=pgf->G4_XXXX; + double G4_phi=pgf->G4_phi, G4_Xphi=pgf->G4_Xphi, G4_XXphi=pgf->G4_XXphi, G4_XXXphi=pgf->G4_XXXphi; + double G4_phiphi=pgf->G4_phiphi, G4_Xphiphi=pgf->G4_Xphiphi, G4_XXphiphi=pgf->G4_XXphiphi; + double G4_phiphiphi=pgf->G4_phiphiphi, G4_Xphiphiphi=pgf->G4_Xphiphiphi; + double G5_X=pgf->G5_X, G5_XX=pgf->G5_XX, G5_XXX=pgf->G5_XXX, G5_XXXX=pgf->G5_XXXX; + double G5_phi=pgf->G5_phi, G5_Xphi=pgf->G5_Xphi, G5_XXphi=pgf->G5_XXphi, G5_XXXphi=pgf->G5_XXXphi; + double G5_phiphi=pgf->G5_phiphi, G5_Xphiphi=pgf->G5_Xphiphi, G5_XXphiphi=pgf->G5_XXphiphi; + double G5_phiphiphi=pgf->G5_phiphiphi, G5_Xphiphiphi=pgf->G5_Xphiphiphi; + double F4=pgf->F4; + double F4_X=pgf->F4_X, F4_XX=pgf->F4_XX, F4_XXX=pgf->F4_XXX; + double F4_phi=pgf->F4_phi, F4_Xphi=pgf->F4_Xphi, F4_XXphi=pgf->F4_XXphi; + double F4_phiphi=pgf->F4_phiphi, F4_Xphiphi=pgf->F4_Xphiphi; + double F5=pgf->F5; + double F5_X=pgf->F5_X, F5_XX=pgf->F5_XX, F5_XXX=pgf->F5_XXX; + double F5_phi=pgf->F5_phi, F5_Xphi=pgf->F5_Xphi, F5_XXphi=pgf->F5_XXphi; + double F5_phiphi=pgf->F5_phiphi, F5_Xphiphi=pgf->F5_Xphiphi; + + /* Computing density, pressure (also rewritten as shift and current) */ + + /* Energy density of the field */ + pvecback[pba->index_bg_rho_smg] = + - (G2 - 2.*X*(G2_X - G3_phi))/3. + - 2.*(G4_phi - X*(G3_X - 2.*G4_Xphi))*H*phi_prime/a + - 2.*( + + DG4 - X*(4.*G4_X - 3.*G5_phi) - 2.*pow(X,2)*(2.*G4_XX - G5_Xphi + 10.*F4) + - 8.*pow(X,3)*F4_X + )*pow(H,2) + + 2./3.*X*( + + 5.*G5_X + 2.*X*(G5_XX - 42.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,3)*phi_prime/a; + + /* Pressure of the field */ + pvecback[pba->index_bg_p_smg] = + ( + + G2 - 2.*X*(G3_phi - 2.*G4_phiphi) + + 2.*( + + 3.*DG4 - X*(2.*G4_X + G5_phi) + + 2.*pow(X,2)*(4.*G4_XX - 3.*G5_Xphi + 10.*F4) + + 8.*pow(X,3)*(2.*F4_X + 3.*F5_phi) + )*pow(H,2) + + 2.*( + + G4_phi + X*(G3_X - 6.*G4_Xphi + 2.*G5_phiphi) - 8.*pow(X,2)*F4_phi + )*H*phi_prime/a + + 2.*X*( + + G5_X + 2.*X*(G5_XX - 18.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,3)*phi_prime/a + + 4.*( + + DG4 - X*(2.*G4_X - G5_phi) - 4.*pow(X,2)*F4 + - X*(G5_X - 12.*X*F5)*H*phi_prime/a + )*pvecback[pba->index_bg_H_prime]/a + + 2.*( + + G4_phi - X*(G3_X - 2.*G4_Xphi) + - X*(3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X)*pow(H,2) + - 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/3.; + + /* Current of the field */ + pvecback[pba->index_bg_current_smg] = + + (G2_X - G3_phi)*phi_prime/a + 6.*X*(G3_X - 2.*G4_Xphi)*H + + 3.*( + + 2.*G4_X - G5_phi + 2.*X*(2.*G4_XX - G5_Xphi + 8.*F4) + + 8.*pow(X,2)*F4_X + )*pow(H,2)*phi_prime/a + + 2.*X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,3); + + /* Shift of the field */ + pvecback[pba->index_bg_shift_smg] = + + G2_phi + 2.*G3_phi*H*phi_prime/a + + 12.*(G4_phi + 2.*pow(X,2)*F4_phi)*pow(H,2) + + 2.*( + + 3.*G5_phi - 2.*X*G5_Xphi - 12.*pow(X,2)*F5_phi + )*pow(H,3)*phi_prime/a + + 6.*(G4_phi + G5_phi*H*phi_prime/a)*pvecback[pba->index_bg_H_prime]/a + + ( + + G3_phi + 6.*G4_Xphi*H*phi_prime/a + + 3.*(G5_phi + 2.*X*G5_Xphi)*pow(H,2) + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg]; + + + /* Computing alphas at the end (alpha_T, alpha_M depend on phi'') */ + + /* Planck mass */ + pvecback[pba->index_bg_delta_M2_smg] = + + 2.*(DG4 - X*(2.*G4_X - G5_phi) - 4.*F4*pow(X,2)) + - 2.*X*(G5_X - 12.*X*F5)*H*phi_prime/a; + + pvecback[pba->index_bg_M2_smg] = 1. + pvecback[pba->index_bg_delta_M2_smg]; + + /* alpha_K kineticity */ + pvecback[pba->index_bg_kineticity_over_phiphi_smg] = + ( + + G2_X - 2.*G3_phi + 2.*X*(G2_XX - G3_Xphi) + + 6.*( + + G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi) + )*H*phi_prime/a + + 2.*( + + 3.*G5_X + X*(7.*G5_XX - 120.*F5) + + 2.*pow(X,2)*(G5_XXX - 66.*F5_X) - 24.*pow(X,3)*F5_XX + )*pow(H,3)*phi_prime/a + + 6.*( + + G4_X - G5_phi + X*(8.*G4_XX - 5.*G5_Xphi + 24.*F4) + + 2.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + 8.*pow(X,3)*F4_XX + )*pow(H,2) + )/pvecback[pba->index_bg_M2_smg]; + + pvecback[pba->index_bg_kineticity_smg] = 2.*pow(H,-2)*X*pvecback[pba->index_bg_kineticity_over_phiphi_smg]; + + /* alpha_B braiding */ + pvecback[pba->index_bg_braiding_over_phi_smg] = + 2.*( + - G4_phi + X*(G3_X - 2.*G4_Xphi) + + X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,2) + + 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*H*phi_prime/a + )/pvecback[pba->index_bg_M2_smg]; + + pvecback[pba->index_bg_braiding_smg] = phi_prime/a/H*pvecback[pba->index_bg_braiding_over_phi_smg]; + + /* alpha_T: tensor speed excess */ + pvecback[pba->index_bg_tensor_excess_smg] = + 2.*X*( + + 2*(G4_X - G5_phi + 2.*X*F4) + + 2*(G5_X - 6.*X*F5)*H*phi_prime/a + - G5_X*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* alpha_M: Planck mass running */ + pvecback[pba->index_bg_M2_running_smg] = + 2.*( + + 2.*X*( + + G4_X - G5_phi + 2.*X*(G4_XX - G5_Xphi + 4.*F4) + + 4.*pow(X,2)*(F4_X + 3.*F5_phi) + ) + + (G4_phi - X*(2.*G4_Xphi - G5_phiphi) - 4.*pow(X,2)*F4_phi)*phi_prime/a/H + + X*(3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X)*H*phi_prime/a + - X*(G5_X - 12.*X*F5)*pvecback[pba->index_bg_H_prime]*pow(a,-2)*phi_prime/H + + ( + - 3.*X*G5_X + + 2.*pow(X,2)*(30.*F5 - G5_XX) + + 24.*pow(X,3)*F5_X + - ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*phi_prime/a/H + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* alpha_H: Beyond Horndeski */ + pvecback[pba->index_bg_beyond_horndeski_over_phi_smg] = + 4.*X*( + F4*phi_prime/a - 6.*X*H*F5 + )*H/pvecback[pba->index_bg_M2_smg]; + + pvecback[pba->index_bg_beyond_horndeski_smg] = pvecback[pba->index_bg_beyond_horndeski_over_phi_smg]*phi_prime/a/H; + + return _SUCCESS_; +} + + +/** +* Get gravity functions As from alphas. +* +* @param pba Input: pointer to background structure +* @param pvecback Input/Output: vector of background quantities +* @param pvecback_derivs Input: vector of derivatives +* @return the error status +*/ +int gravity_functions_As_from_alphas_smg( + struct background *pba, + double * pvecback, + double * pvecback_derivs + ) { + + // basic background quantities + double a = pvecback[pba->index_bg_a]; + double H = pvecback[pba->index_bg_H]; + double H_p = pvecback[pba->index_bg_H_prime]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_smg = pvecback[pba->index_bg_p_smg]; + double rho_smg = pvecback[pba->index_bg_rho_smg]; + // factor to convert lna derivatives to tau derivatives + double factor = a*H; + + // alphas + double M2 = pvecback[pba->index_bg_M2_smg]; + double DelM2 = pvecback[pba->index_bg_delta_M2_smg]; + double kin = pvecback[pba->index_bg_kineticity_smg]; + double bra = pvecback[pba->index_bg_braiding_smg]; + double run = pvecback[pba->index_bg_M2_running_smg]; + double ten = pvecback[pba->index_bg_tensor_excess_smg]; + double beh = pvecback[pba->index_bg_beyond_horndeski_smg]; + double dM2 = pvecback[pba->index_bg_delta_M2_smg]; + + // need to update the time derivatives of the interesting functions + double kin_p = factor*pvecback_derivs[pba->index_bg_kineticity_smg]; + double bra_p = factor*pvecback_derivs[pba->index_bg_braiding_smg]; + double run_p = factor*pvecback_derivs[pba->index_bg_M2_running_smg]; + double ten_p = factor*pvecback_derivs[pba->index_bg_tensor_excess_smg]; + double beh_p = factor*pvecback_derivs[pba->index_bg_beyond_horndeski_smg]; + double p_tot_p = factor*pvecback_derivs[pba->index_bg_p_tot_wo_smg]; + double p_smg_p = factor*pvecback_derivs[pba->index_bg_p_smg]; + + // kinetic term D + pvecback[pba->index_bg_kinetic_D_smg] = kin + 3./2.*pow(bra,2); + + // A0 + pvecback[pba->index_bg_A0_smg] = + 1./2.*( + + bra - 3.*(rho_smg + p_smg + (rho_tot + p_tot)*DelM2/M2)*pow(H,-2) + ); + + // A1 + pvecback[pba->index_bg_A1_smg] = + + (1. + ten)*kin + - 3.*(beh*(1. + run) + run - ten + beh_p/a/H)*bra; + + // A2 + pvecback[pba->index_bg_A2_smg] = + - (kin + 3./2.*pow(bra,2))*(2. + run) + - 9./4.*bra*( + + (2. - bra)*(rho_smg+p_smg) + + (2.*DelM2/M2 - bra)*(rho_tot+p_tot) + )*pow(H,-2) + - 3./2.*bra*bra_p/a/H; + + // A3 + pvecback[pba->index_bg_A3_smg] = bra*beh; + + // A4 + pvecback[pba->index_bg_A4_smg] = + 9./2.*kin*( + + (2. - bra)*(rho_smg+p_smg) + + (2.*DelM2/M2 - bra)*(rho_tot+p_tot) + )*pow(H,-2) + + 3.*(bra*kin_p - kin*bra_p)/a/H; + + // A5 + pvecback[pba->index_bg_A5_smg] = - beh*kin; + + // A6 + pvecback[pba->index_bg_A6_smg] = + + 9./4.*( + + (2.*kin + 9.*bra)*(2.*DelM2/M2 - bra) + + 4.*(kin + 3./2.*pow(bra,2))*run + ) + + 9.*(kin + 9./2.*bra)*rho_smg*pow(H,-2)/M2 + + 9./2.*( + + (kin + 9.*bra)*(2.*DelM2/M2 - bra) + + 2.*(kin + 3./2.*pow(bra,2))*run + )*pow(H,-2)*p_tot + + 81./4.*bra*( + + 2.*rho_smg*(p_tot + p_smg)/M2 + - 2.*(1./M2 - 2. + bra)*p_tot*p_smg + + (2. - bra)*pow(p_smg,2) + + (2.*DelM2 - bra*M2)*pow(p_tot,2)/M2 + )*pow(H,-4) + + 9./2.*( + - 9.*bra*(1./M2 - 2. + bra) + + kin*(2. - bra) + + 2.*(kin + 3./2.*pow(bra,2))*run + )*pow(H,-2)*p_smg + + 3.*( + + bra*kin_p + - (kin - 9./2.*bra - 9./2.*bra*pow(H,-2)*(p_tot + p_smg))*bra_p + )/a/H + + 9.*( + + (kin*DelM2/M2 + 3./2.*pow(bra,2))*p_tot_p + + (kin + 3./2.*pow(bra,2))*p_smg_p + )*pow(H,-3)/a; + + // A7 + pvecback[pba->index_bg_A7_smg] = + - 2.*kin*beh + + 3.*bra*(bra + 2.*beh)*(1. + run) + + 2.*(kin + 3.*bra)*(run - ten) + + 9./2.*bra*( + + (2. - bra - 2.*beh)*(rho_smg + p_smg) + + (2.*DelM2/M2 - bra - 2.*beh)*(rho_tot + p_tot) + )*pow(H,-2) + + 3.*bra*(bra_p + 2.*beh_p)/a/H; + + // A8 + pvecback[pba->index_bg_A8_smg] = run - ten - beh; + + // A9 + pvecback[pba->index_bg_A9_smg] = + + 3./4.*( + + (2. - bra)*(rho_smg + p_smg) + + (2.*DelM2/M2 - bra)*(rho_tot + p_tot) + )*pow(H,-2) + + 1./2.*bra_p/a/H; + + // A10 + pvecback[pba->index_bg_A10_smg] = + bra + 2.*run - (2. - bra)*ten + 2.*(1. + run)*beh + 2.*beh_p/a/H; + + // A11 + pvecback[pba->index_bg_A11_smg] = + - (kin + 3./2.*pow(bra,2))*(4. + run) + + 3./4.*( + + (4.*kin + 6.*bra + 3.*pow(bra,2))*(rho_smg + p_smg) + + (4.*kin + 6.*bra*DelM2/M2 + 3.*pow(bra,2))*(rho_tot + p_tot) + )*pow(H,-2) + - (kin_p + 3./2.*bra*bra_p)/a/H; + + // A12 + pvecback[pba->index_bg_A12_smg] = + + kin/2. - 3.*bra*(3./2. - bra) - run*(kin + 3./2.*pow(bra,2)) + - 9./4.*( + + (6.*DelM2/M2 + bra*(2./M2 - 7. + 2.*bra))*pow(H,-2)*rho_tot + + (6.*DelM2/M2 - 2.*kin + bra*(2./M2 - 5. - 2.*bra))*pow(H,-2)*p_tot + + (6. - 5.*bra - 2.*pow(bra,2) - 2.*kin)*pow(H,-2)*p_smg + - 6.*(1./M2 - 2. + bra)*pow(H,-4)*p_tot*p_smg + + 3.*(2. - bra)*pow(H,-4)*pow(p_smg,2) + + 3.*(2.*DelM2/M2 - bra)*( + + rho_tot*p_tot + pow(p_tot,2) + rho_tot*p_smg + )*pow(H,-4) + + (2. - bra)*( + + 3. - 2.*bra + 3.*pow(H,-2)*(p_tot + p_smg) + )*pow(H,-2)*rho_smg + + 2.*bra*pow(H,-3)*p_tot_p/a/M2 + ) + - ( + + kin_p + + 3./2.*(3. + bra + 3.*pow(H,-2)*(p_tot + p_smg))*bra_p + )/a/H; + + // A13 + pvecback[pba->index_bg_A13_smg] = + - bra - 2.*run + (2. - bra)*ten - (2. + bra + 2.*run)*beh + - 3./2.*( + + (2. - bra - 2.*beh)*(rho_smg + p_smg)*pow(H,-2) + + (2.*DelM2/M2 - bra - 2.*beh)*(rho_tot + p_tot)*pow(H,-2) + ) + - (bra_p + 2.*beh_p)/a/H; + + // A14 + pvecback[pba->index_bg_A14_smg] = - (kin + 3.*bra)/2.; + + // A15 + pvecback[pba->index_bg_A15_smg] = - 1./2.*bra - beh; + + // A16 + pvecback[pba->index_bg_A16_smg] = + - 1./2.*(kin + 3.*bra) + + 9./4.*( + + (2. - bra)*(rho_smg + p_smg) + + (2.*DelM2/M2 - bra)*(rho_tot + p_tot) + )*pow(H,-2); + + + // NOTE: this could be written in terms of the A's and B's variables. + + pvecback[pba->index_bg_lambda_1_smg] = (run + (-1.)*ten)*(-3.)*bra + (1. + ten)*kin; + + pvecback[pba->index_bg_lambda_2_smg] = (- 2.*dM2 + bra*M2)*(rho_tot + p_tot)*(-3.)/2.*pow(H,-2)*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*(-3.)/2.*pow(H,-2) + pow(H,-1)*bra_p*pow(a,-1); + + pvecback[pba->index_bg_lambda_3_smg] = (2. + run)*(-1.)/2.*pvecback[pba->index_bg_kinetic_D_smg] + (-3.)/4.*bra*pvecback[pba->index_bg_lambda_2_smg]; + + pvecback[pba->index_bg_lambda_4_smg] = kin*pvecback[pba->index_bg_lambda_2_smg] + (2.*kin*bra_p + (-1.)*bra*kin_p)*(-1.)*pow(H,-1)*pow(a,-1); + + pvecback[pba->index_bg_lambda_5_smg] = (bra + 2.*run + (-2.)*ten + bra*ten)*3./2.*bra + (run + (-1.)*ten)*pvecback[pba->index_bg_kinetic_D_smg] + 3./2.*bra*pvecback[pba->index_bg_lambda_2_smg]; + + pvecback[pba->index_bg_lambda_6_smg] = 3./2.*(((9./2.*bra + kin)*dM2*pow(M2,-1) + (-9.)/4.*pow(bra,2) - bra*kin/2. + pvecback[pba->index_bg_kinetic_D_smg]*run)*pow(rho_tot,2) + ((9.*bra + kin)*dM2*pow(M2,-1) + (-9.)/2.*pow(bra,2) - bra*kin/2. + pvecback[pba->index_bg_kinetic_D_smg]*run)*rho_tot*p_tot + 9./2.*bra*(dM2 - M2*bra/2.)*pow(M2,-1)*pow(p_tot,2) + (kin*dM2*pow(M2,-1) - bra*kin/2. + pvecback[pba->index_bg_kinetic_D_smg]*run)*(rho_tot + p_tot)*rho_smg + ((kin - bra*kin/2. + pvecback[pba->index_bg_kinetic_D_smg]*run)*rho_smg + ((9.*bra + kin)*(2. - bra)/2. + pvecback[pba->index_bg_kinetic_D_smg]*run - 9./2.*bra*pow(M2,-1))*rho_tot + 9.*bra*(1. - bra/2. - pow(M2,-1)/2.)*p_tot)*(rho_smg + p_smg) + 9./2.*bra*(1. - bra/2.)*pow(rho_smg + p_smg,2))*pow(H,-4) + (((9.*bra*(rho_tot + p_tot) - 2.*kin*(rho_tot + rho_smg)) + (rho_smg + p_smg)*9.*bra)*bra_p/2. + (rho_tot + rho_smg)*bra*kin_p + (2.*dM2*kin + 3.*pow(bra,2)*M2)*3./2.*pow(M2,-1)*p_tot_p + 3.*pvecback[pba->index_bg_kinetic_D_smg]*p_smg_p)*pow(H,-3)*pow(a,-1)/2.; + + pvecback[pba->index_bg_lambda_7_smg] = ((-2.) + bra)*(4. + run)*(-1.)/8.*pvecback[pba->index_bg_kinetic_D_smg] + ((-2.)*(2. + dM2) + bra*M2)*(rho_tot + p_tot)*3./16.*pow(H,-2)*pvecback[pba->index_bg_kinetic_D_smg]*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*3./16.*pow(H,-2)*pvecback[pba->index_bg_kinetic_D_smg] + (pvecback[pba->index_bg_kinetic_D_smg]*bra_p + ((-2.) + bra)*((-3.)*bra*bra_p + (-1.)*kin_p))*1./8.*pow(H,-1)*pow(a,-1); + + pvecback[pba->index_bg_lambda_8_smg] = ((-2.) + bra)*(4. + run)*1./8.*pvecback[pba->index_bg_kinetic_D_smg] + 3./8.*(rho_tot + p_tot)*(((-9.)*bra + (-2.)*pvecback[pba->index_bg_kinetic_D_smg]*(3. + 2.*dM2 - bra*M2))*(-1.)/2. + (-rho_tot*dM2 - (p_smg + rho_smg*M2))*9.*pow(H,-2)*pow(M2,-1))*pow(H,-2)*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*(-3.)/8.*pow(H,-2)*pvecback[pba->index_bg_kinetic_D_smg] + (-2.*dM2 + bra*M2)*(rho_tot + p_tot)*(p_tot + p_smg)*27./16.*pow(H,-4)*pow(M2,-2) + ((-9.)*(rho_tot + p_tot) + (-6.)*bra*pow(H,2)*M2 + 3.*pow(bra,2)*pow(H,2)*M2 + (-1.)*pow(H,2)*pvecback[pba->index_bg_kinetic_D_smg]*M2)*1./8.*pow(H,-3)*pow(M2,-1)*bra_p*pow(a,-1) + ((-2.) + bra)*1./8.*pow(H,-1)*kin_p*pow(a,-1) + ((-2.) + bra)*9./16.*bra*pow(H,-3)*pow(M2,-1)*p_tot_p*pow(a,-1); + + pvecback[pba->index_bg_lambda_9_smg] = ((-2.) + 3.*bra)*pvecback[pba->index_bg_kinetic_D_smg] + 2.*pvecback[pba->index_bg_lambda_3_smg] + (pvecback[pba->index_bg_kinetic_D_smg] + (-1.)*pvecback[pba->index_bg_lambda_2_smg])*(((-3.) + 2.*bra)*(-3.)/2. + (p_tot + p_smg)*9./2.*pow(H,-2)) + (3.*bra*bra_p + kin_p)*(-1.)*pow(H,-1)*pow(a,-1) + (-9.)/2.*bra*pow(H,-3)*pow(M2,-1)*p_tot_p*pow(a,-1); + + pvecback[pba->index_bg_lambda_10_smg] = (pvecback[pba->index_bg_kinetic_D_smg] + (-1.)*pvecback[pba->index_bg_lambda_3_smg])*(-2.) + (3.*bra*dM2 + kin*M2)*(rho_tot + p_tot)*3.*pow(H,-2)*pow(M2,-1) + (3.*bra + kin)*(rho_smg + p_smg)*3.*pow(H,-2) + (-1.)*pow(H,-1)*kin_p*pow(a,-1); + + pvecback[pba->index_bg_lambda_11_smg] = bra + 2.*run - (2.-bra)*ten; + + + pvecback[pba->index_bg_cs2num_smg] = + + (2. - bra)*(bra + 2.*beh + 2.*run + 2.*beh*run - 2.*ten + bra*ten)/2. + + 3./2.*(2. - bra)*(1. + beh)*pow(H,-2)*(rho_smg + p_smg) + - 3./2.*(1. + beh)*(2. + 2.*beh - 2.*M2 + bra*M2)*pow(H,-2)/M2*(rho_tot + p_tot) + + (1. + beh)*bra_p/a/H + + (2. - bra)*beh_p/a/H; + + // NOTE: this is to regularize cs2 when both the numerator and denominator are + // below numerical precision + if (pvecback[pba->index_bg_cs2num_smg] == pvecback[pba->index_bg_kinetic_D_smg]) { + pvecback[pba->index_bg_cs2_smg] = 1.; + } + else { + pvecback[pba->index_bg_cs2_smg] = pvecback[pba->index_bg_cs2num_smg]/pvecback[pba->index_bg_kinetic_D_smg]; + } + + // NOTE: Geff and slip are calculated for Horndeski. Consider extending them to + // beyond Horndeski + double beta_1 = (run + (-1.)*ten)*2. + (1. + ten)*bra; + double beta_2 = 2.*beta_1 + (2. + (-2.)*M2 + bra*M2)*(rho_tot + p_tot)*(-3.)*pow(H,-2)*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*(-3.)*pow(H,-2) + 2.*pow(H,-1)*bra_p*pow(a,-1); + + if (bra*beta_1 == 0.) { + pvecback[pba->index_bg_G_eff_smg] = 1./M2; + } + else { + pvecback[pba->index_bg_G_eff_smg] = (1. - bra*beta_1*pow(bra*beta_1 - beta_2,-1))/M2; + } + + if (2.*(run - ten)*beta_1 + ten*beta_2 == 0.) { + pvecback[pba->index_bg_slip_eff_smg] = 1.; + } + else { + pvecback[pba->index_bg_slip_eff_smg] = 1. - (2.*(run - ten)*beta_1 + ten*beta_2)*pow((run - ten)*2.*beta_1 + (1. + ten)*beta_2,-1); + } + + return _SUCCESS_; +} + + +/** +* Get gravity functions Bs from Gs. +* +* @param pba Input: pointer to background structure +* @param pvecback Input/Output: vector of background quantities +* @param pvecback_derivs Input: vector of derivatives +* @return the error status +*/ +int gravity_functions_Bs_from_Gs_smg( + struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf +) { + + /* Define local variables */ + double H = pvecback[pba->index_bg_H]; + double phi = pvecback_B[pba->index_bi_phi_smg]; + double phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; + double X = 0.5*pow(phi_prime/a,2); + + double G2=pgf->G2; + double G2_X=pgf->G2_X, G2_XX=pgf->G2_XX, G2_XXX=pgf->G2_XXX; + double G2_phi=pgf->G2_phi, G2_Xphi=pgf->G2_Xphi, G2_XXphi=pgf->G2_XXphi; + double G2_phiphi=pgf->G2_phiphi, G2_Xphiphi=pgf->G2_Xphiphi; + double G3_X=pgf->G3_X, G3_XX=pgf->G3_XX, G3_XXX=pgf->G3_XXX; + double G3_phi=pgf->G3_phi, G3_Xphi=pgf->G3_Xphi, G3_XXphi=pgf->G3_XXphi; + double G3_phiphi=pgf->G3_phiphi, G3_Xphiphi=pgf->G3_Xphiphi; + double G3_phiphiphi=pgf->G3_phiphiphi; + double G4=pgf->G4, DG4=pgf->DG4; + double G4_X=pgf->G4_X, G4_XX=pgf->G4_XX, G4_XXX=pgf->G4_XXX, G4_XXXX=pgf->G4_XXXX; + double G4_phi=pgf->G4_phi, G4_Xphi=pgf->G4_Xphi, G4_XXphi=pgf->G4_XXphi, G4_XXXphi=pgf->G4_XXXphi; + double G4_phiphi=pgf->G4_phiphi, G4_Xphiphi=pgf->G4_Xphiphi, G4_XXphiphi=pgf->G4_XXphiphi; + double G4_phiphiphi=pgf->G4_phiphiphi, G4_Xphiphiphi=pgf->G4_Xphiphiphi; + double G5_X=pgf->G5_X, G5_XX=pgf->G5_XX, G5_XXX=pgf->G5_XXX, G5_XXXX=pgf->G5_XXXX; + double G5_phi=pgf->G5_phi, G5_Xphi=pgf->G5_Xphi, G5_XXphi=pgf->G5_XXphi, G5_XXXphi=pgf->G5_XXXphi; + double G5_phiphi=pgf->G5_phiphi, G5_Xphiphi=pgf->G5_Xphiphi, G5_XXphiphi=pgf->G5_XXphiphi; + double G5_phiphiphi=pgf->G5_phiphiphi, G5_Xphiphiphi=pgf->G5_Xphiphiphi; + double F4=pgf->F4; + double F4_X=pgf->F4_X, F4_XX=pgf->F4_XX, F4_XXX=pgf->F4_XXX; + double F4_phi=pgf->F4_phi, F4_Xphi=pgf->F4_Xphi, F4_XXphi=pgf->F4_XXphi; + double F4_phiphi=pgf->F4_phiphi, F4_Xphiphi=pgf->F4_Xphiphi; + double F5=pgf->F5; + double F5_X=pgf->F5_X, F5_XX=pgf->F5_XX, F5_XXX=pgf->F5_XXX; + double F5_phi=pgf->F5_phi, F5_Xphi=pgf->F5_Xphi, F5_XXphi=pgf->F5_XXphi; + double F5_phiphi=pgf->F5_phiphi, F5_Xphiphi=pgf->F5_Xphiphi; + + /* Computing B functions (intermediate step for perturbations) */ + + /* B0_smg */ + pvecback[pba->index_bg_B0_smg] = + ( + + G4_phi - X*(3.*G3_X - 10.*G4_Xphi + 2.*G5_phiphi) + 8.*pow(X,2)*F4_phi + - 3.*( + + G4_X - G5_phi + 2.*X*(G4_XX - 2./3.*G5_Xphi + 4.*F4) + + 4.*pow(X,2)*(F4_X + F5_phi) + )*H*phi_prime/a + - X*(3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X)*pow(H,2) + - (G2_X/2. - G3_phi + G4_phiphi)*phi_prime/a/H + )/pvecback[pba->index_bg_M2_smg]; + + /* B1_smg */ + pvecback[pba->index_bg_B1_smg] = + 6.*( + + ( + + G4_phi + X*(3.*G3_X - 16.*G4_Xphi + 6.*G5_phiphi) + + 2.*pow(X,2)*(G3_XX - 20.*F4_phi - 6.*G4_XXphi + 2.*G5_Xphiphi) + - 16.*pow(X,3)*F4_Xphi + ) + + X*( + + 3.*G5_X + 12.*X*(G5_XX - 15.*F5) + + 4.*pow(X,2)*(G5_XXX - 60.*F5_X) - 48.*pow(X,3)*F5_XX + )*pow(H,2) + + ( + + (G2_X - 2.*G3_phi + 4.*G4_phiphi)/2. - X*(G3_Xphi - 2.*G4_Xphiphi) + )*phi_prime/a/H + + ( + + G4_X - G5_phi + X*(40.*F4 + 14.*G4_XX + (-13.)*G5_Xphi) + + 2.*pow(X,2)*(34.*F4_X + 4.*G4_XXX + 36.*F5_phi + (-3.)*G5_XXphi) + + 8.*pow(X,3)*(2.*F4_XX + 3.*F5_Xphi) + )*H*phi_prime/a + - 2.*( + + X*( + + 3.*G5_X + 2.*X*(G5_XX - 30.*F5) - 24.*pow(X,2)*F5_X + ) + + ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*phi_prime/H/a + )/a*pvecback[pba->index_bg_H_prime] + + ( + - 2.*(G4_X - G5_phi) + - 2.*X*(8.*G4_XX - 5.*G5_Xphi + 24.*F4) + - 4.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + - 16.*pow(X,3)*F4_XX + - (G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi))*phi_prime/a/H + - ( + + 3.*G5_X - X*(120.*F5 - 7.*G5_XX) + - 2.*pow(X,2)*(66.*F5_X - G5_XXX) - 24.*pow(X,3)*F5_XX + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B2_smg */ + pvecback[pba->index_bg_B2_smg] = + 6.*( + + (G2_phi/2. - X*(G3_phiphi - 2.*G4_phiphiphi))*pow(H,-2) + + 3.*G4_phi - X*(2.*G4_Xphi + G5_phiphi) + + 2.*pow(X,2)*(4.*G4_XXphi - 3.*G5_Xphiphi + 10.*F4_phi) + + 8.*pow(X,3)*(2.*F4_Xphi + 3.*F5_phiphi) + + X*( + + G5_Xphi + 2.*X*(G5_XXphi - 18.*F5_phi) - 24.*pow(X,2)*F5_Xphi + )*H*phi_prime/a + + ( + + G4_phiphi + X*(G3_Xphi - 6.*G4_Xphiphi + 2.*G5_phiphiphi) + - 8.*pow(X,2)*F4_phiphi + )*phi_prime/a/H + - 2.*( + + X*(G5_Xphi - 12.*X*F5_phi)*phi_prime/a + - (G4_phi - X*(2.*G4_Xphi - G5_phiphi) - 4.*pow(X,2)*F4_phi)/H + )*pvecback[pba->index_bg_H_prime]/a/H + + ( + - X*(3.*G5_Xphi + 2.*X*(G5_XXphi - 30.*F5_phi) - 24.*pow(X,2)*F5_Xphi) + + (G4_phiphi - X*(G3_Xphi - 2.*G4_Xphiphi))*pow(H,-2) + - 2.*( + + G4_Xphi - G5_phiphi + X*(2.*G4_XXphi - G5_Xphiphi + 8.*F4_phi) + + 4.*pow(X,2)*F4_Xphi + )*phi_prime/a/H + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B3_smg */ + pvecback[pba->index_bg_B3_smg] = + 4.*( + + G4_phi - X*(2.*G4_Xphi - G5_phiphi) - 4.*pow(X,2)*F4_phi + + X*( + + G5_X + 2.*X*(G5_XX - 18.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,2) + + 2.*X*( + + G4_XX - G5_Xphi + 2.*F4 + 2.*X*(F4_X + 3.*F5_phi) + )*H*phi_prime/a + - X*(G5_X - 12.*X*F5)*pvecback[pba->index_bg_H_prime]/a + - ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 6.*F4) + 4.*pow(X,2)*F4_X + + (G5_X + X*(G5_XX - 24.*F5) - 12.*pow(X,2)*F5_X)*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B4_smg */ + pvecback[pba->index_bg_B4_smg] = + 2.*( + + G4_phi - X*(2.*G4_Xphi - G5_phiphi) - 4.*pow(X,2)*F4_phi + + 2.*X*( + + 2.*F4 + G4_XX - G5_Xphi + 2.*X*(F4_X + 3.*F5_phi) + )*H*phi_prime/a + + X*( + + G5_X + 2.*X*(G5_XX - 18.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,2) + - X*(G5_X - 12.*X*F5)*pvecback[pba->index_bg_H_prime]/a + - ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 6.*F4) + 4.*pow(X,2)*F4_X + + ( + + G5_X - X*(24.*F5 - G5_XX) - 12.*pow(X,2)*F5_X + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B5_smg */ + pvecback[pba->index_bg_B5_smg] = + ( + - 3.*G4_phi + X*(3.*G3_X - 4.*G4_Xphi - 2.*G5_phiphi) + - 2.*pow(X,2)*(G3_XX - 6.*G4_XXphi + 2.*G5_Xphiphi - 12.*F4_phi) + 16.*pow(X,3)*F4_Xphi + + ( + + G2_X - 2.*G3_phi + 2.*X*(G3_Xphi - 2.*G4_Xphiphi) + )*phi_prime/a/H/2. + + ( + + 5.*(G4_X - G5_phi) - X*(2.*G4_XX - 5.*G5_Xphi - 8.*F4) + - 2.*pow(X,2)*( + 4.*G4_XXX - 3.*G5_XXphi + 22.*F4_X + 24.*F5_phi) + - 8.*pow(X,3)*(2.*F4_XX + 3.*F5_Xphi) + )*H*phi_prime/a + + X*( + + 3.*G5_X - 4.*X*(2.*G5_XX - 15.*F5) + - 4.*pow(X,2)*(G5_XXX - 48.*F5_X) + 48.*pow(X,3)*F5_XX + )*pow(H,2) + + 2.*( + + X*(3.*G5_X - 2.*X*(30.*F5 - G5_XX) - 24.*pow(X,2)*F5_X) + + ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 8.*F4) + 4.*pow(X,2)*F4_X + )*phi_prime/a/H + )*pvecback[pba->index_bg_H_prime]/a + + ( + + 2.*( + + G4_X - G5_phi + X*(8.*G4_XX - 5.*G5_Xphi + 24.*F4) + + 2.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + 8.*pow(X,3)*F4_XX + ) + + ( + + 3.*G5_X + X*(7.*G5_XX - 120.*F5) + + 2.*pow(X,2)*(G5_XXX - 66.*F5_X) - 24.*pow(X,3)*F5_XX + )*H*phi_prime/a + + ( + + G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi) + )*phi_prime/a/H + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B6_smg */ + pvecback[pba->index_bg_B6_smg] = + 4.*( + + G4_phi - X*(2.*G4_Xphi - G5_phiphi) + + 2.*X*(G4_XX - G5_Xphi)*H*phi_prime/a + + X*(G5_X + 2.*X*G5_XX)*pow(H,2) + - X*G5_X*pvecback[pba->index_bg_H_prime]/a + - ( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi) + + (G5_X + X*G5_XX)*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B7_smg */ + pvecback[pba->index_bg_B7_smg] = + - 2.*( + + G2_X - 2.*G3_phi + - X*(G2_XX - 8.*G3_Xphi + 18.*G4_Xphiphi) + - 2.*pow(X,2)*(G2_XXX - 4.*G3_XXphi + 6.*G4_XXphiphi) + + ( + + G2_Xphi - 2.*G3_phiphi + 2.*X*(G2_XXphi - G3_Xphiphi) + )*phi_prime/a/H/2. + + 6.*( + + G4_X - G5_phi - X*(G4_XX - 2.*G5_Xphi) + - 4./3.*pow(X,2)*(9.*G4_XXX - 7.*G5_XXphi + 45.*F4_X + 30.*F5_phi) + - 4./3.*pow(X,3)*(3.*G4_XXXX - 2.*G5_XXXphi + 39.*F4_XX + 33.*F5_Xphi) + - 8.*pow(X,4)*(F4_XXX + F5_XXphi) + )*pow(H,2) + + ( + + 3.*G5_X - X*(13.*G5_XX - 120.*F5) - 4.*pow(X,2)*(5.*G5_XXX - 159.*F5_X) + - 4.*pow(X,3)*(G5_XXXX - 96.*F5_XX) + 48.*pow(X,4)*F5_XXX + )*pow(H,3)*phi_prime/a + + 3.*( + + G3_X - 2.*G4_Xphi - G5_phiphi + - X*(3.*G3_XX - 16.*G4_XXphi + 5.*G5_Xphiphi - 24.*F4_phi) + - 2.*pow(X,2)*(G3_XXX - 4.*G4_XXXphi + G5_XXphiphi - 18.*F4_Xphi) + + 8.*pow(X,3)*F4_XXphi + )*H*phi_prime/a + + 6.*( + + G4_X - G5_phi + X*(8.*G4_XX - 5.*G5_Xphi + 24.*F4) + + 2.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + 8.*pow(X,3)*F4_XX + - ( + - 3.*G5_X - X*(7.*G5_XX - 120.*F5) - 2.*pow(X,2)*(G5_XXX - 66.*F5_X) + + 24.*pow(X,3)*F5_XX + )*H*phi_prime/a/2. + + ( + + G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi) + )*phi_prime/a/H/2. + )*pvecback[pba->index_bg_H_prime]/a + + 3.*( + + (G3_X - 3.*G4_Xphi) + + X*(5.*G3_XX - 12.*G4_XXphi) + + 2.*pow(X,2)*(G3_XXX - 2.*G4_XXXphi) + + ( + + G5_X + 3.*X*(3.*G5_XX - 40.*F5) + 4.*pow(X,2)*(2.*G5_XXX - 75.*F5_X) + + 4./3.*pow(X,3)*(G5_XXXX - 108.*F5_XX) - 16.*pow(X,4)*F5_XXX + )*pow(H,2) + + ( + + G2_XX/2. - 2./3.*G3_Xphi + X*(G2_XXX - G3_XXphi)/3. + )*phi_prime/a/H + + ( + + 3.*(3.*G4_XX - 2.*G5_Xphi + 8.*F4) + + X*(16.*G4_XXX - 9.*G5_XXphi + 96.*F4_X) + + 2.*pow(X,2)*(2.*G4_XXXX - G5_XXXphi + 30.*F4_XX) + + 8.*pow(X,3)*F4_XXX + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B8_smg */ + pvecback[pba->index_bg_B8_smg] = + - 2.*( + + G2_X/2. - G3_phi + X*(G3_Xphi - 2.*G4_Xphiphi) + + ( + + 3.*(G4_X - G5_phi) - X*(2.*G4_XX - 3.*G5_Xphi + 8.*F4) + - 2.*pow(X,2)*(4.*G4_XXX - 3.*G5_XXphi + 26.*F4_X + 24.*F5_phi) + - 8.*pow(X,3)*(2.*F4_XX + 3.*F5_Xphi) + )*pow(H,2) + + ( + + G3_X - 3.*G4_Xphi - X*(G3_XX - 6.*G4_XXphi + 2.*G5_Xphiphi - 12.*F4_phi) + + 8.*pow(X,2)*F4_Xphi + )*H*phi_prime/a + + ( + + G5_X - 3.*X*(G5_XX - 20.*F5) - 2.*pow(X,2)*(G5_XXX - 54.*F5_X) + + 24.*pow(X,3)*F5_XX + )*pow(H,3)*phi_prime/a + + 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 10.*F4) + 4.*pow(X,2)*F4_X + + ( + + G5_X + X*(G5_XX - 36.*F5) - 12.*pow(X,2)*F5_X + )*H*phi_prime/a + )*pvecback[pba->index_bg_H_prime]/a + + ( + + G3_X - 3.*G4_Xphi + X*(G3_XX - 2.*G4_XXphi) + + ( + + G5_X + 5.*X*(G5_XX - 24.*F5) + 2.*pow(X,2)*(G5_XXX - 66.*F5_X) + - 24.*pow(X,3)*F5_XX + )*pow(H,2) + + 2.*( + + 3.*G4_XX - 2.*G5_Xphi + 12.*F4 + X*(2.*G4_XXX - G5_XXphi + 18.*F4_X) + + 4.*pow(X,2)*F4_XX + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B9_smg */ + pvecback[pba->index_bg_B9_smg] = + 2.*( + + 6.*G4_phiphi + - 3.*X*(G3_Xphi - G5_phiphiphi) + + 6.*pow(X,2)*(G3_XXphi - 4.*G4_XXphiphi + G5_Xphiphiphi - 6.*F4_phiphi) + - 24.*pow(X,3)*F4_Xphiphi + + ( + + G2_phiphi - (G2_Xphiphi - G3_phiphiphi)*2.*X + )*pow(H,-2)/2. + - ( + + G2_Xphi - 2.*G3_phiphi - X*(G2_XXphi - 4.*G3_Xphiphi + 6.*G4_Xphiphiphi) + )*phi_prime/a/H + - 2.*( + + 3.*(G4_Xphi - G5_phiphi) - X*(3.*G4_XXphi - 4.*G5_Xphiphi) + - 2.*pow(X,2)*(3.*G4_XXXphi - 2.*G5_XXphiphi + 18.*F4_Xphi + 12.*F5_phiphi) + - 12.*pow(X,3)*(F4_XXphi + F5_Xphiphi) + )*H*phi_prime/a + - X*( + + 3.*G5_Xphi - 4.*X*(2.*G5_XXphi - 15.*F5_phi) + - 4.*pow(X,2)*(G5_XXXphi - 48.*F5_Xphi) + 48.*pow(X,3)*F5_XXphi + )*pow(H,2) + - 3.*( + + X*(3.*G5_Xphi + 2.*X*(G5_XXphi - 30.*F5_phi) - 24.*pow(X,2)*F5_Xphi) + - (G4_phiphi - X*(G3_Xphi - 2.*G4_Xphiphi))*pow(H,-2) + + 2.*( + + G4_Xphi - G5_phiphi + X*(8.*F4_phi + 2.*G4_XXphi - G5_Xphiphi) + + 4.*pow(X,2)*F4_Xphi + )*phi_prime/a/H + )*pvecback[pba->index_bg_H_prime]/a + - ( + + 3.*(G4_Xphi - G5_phiphi) + + 3.*X*(8.*G4_XXphi - 5.*G5_Xphiphi + 24.*F4_phi) + + 6.*pow(X,2)*(2.*G4_XXXphi - G5_XXphiphi + 18.*F4_Xphi) + + 24.*pow(X,3)*F4_XXphi + + ( + + G2_Xphi - 2.*G3_phiphi + 2.*X*(G2_XXphi - G3_Xphiphi) + )*pow(H,-2)/2. + + 3.*( + + G3_Xphi - 3.*G4_Xphiphi + X*(G3_XXphi - 2.*G4_XXphiphi) + )*phi_prime/a/H + + ( + + 3.*G5_Xphi + X*(7.*G5_XXphi - 120.*F5_phi) + - 2.*pow(X,2)*(66.*F5_Xphi - G5_XXXphi) - 24.*pow(X,3)*F5_XXphi + )*H*phi_prime/a + )*pow(a,-2)*pvecback[pba->index_bg_phi_prime_prime_smg] + )/pvecback[pba->index_bg_M2_smg]; + + /* B10_smg */ + pvecback[pba->index_bg_B10_smg] = + ( + + 3.*( + + G4_phi - X*(3.*G3_X - 8.*G4_Xphi) - 2.*pow(X,2)*(G3_XX - 2.*G4_XXphi) + ) + - ( + + G2_X - 2.*G3_phi + 2.*X*(G2_XX - G3_Xphi) + )*phi_prime/a/H/2. + + - X*( + + 15.*G5_X + 20.*X*(G5_XX - 21.*F5) + 4.*pow(X,2)*(G5_XXX - 84.*F5_X) + - 48.*pow(X,3)*F5_XX + )*pow(H,2) + - 3.*( + + 3.*(G4_X - G5_phi) + X*(12.*G4_XX - 7.*G5_Xphi + 40.*F4) + + 2.*pow(X,2)*(2.*G4_XXX - G5_XXphi + 22.*F4_X) + 8.*pow(X,3)*F4_XX + )*H*phi_prime/a + )/pvecback[pba->index_bg_M2_smg]; + + /* B11_smg */ + pvecback[pba->index_bg_B11_smg] = + ( + + G4_phi + - X*(G3_X - 2.*G4_Xphi) + - X*( + + 3.*G5_X + 2.*X*(G5_XX - 42.*F5) - 24.*pow(X,2)*F5_X + )*pow(H,2) + - 2.*( + + G4_X - G5_phi + X*(2.*G4_XX - G5_Xphi + 10.*F4) + 4.*pow(X,2)*F4_X + )*H*phi_prime/a + )/pvecback[pba->index_bg_M2_smg]; + + /* B12_smg */ + pvecback[pba->index_bg_B12_smg] = + ( + + 3.*G4_phi + - 3.*X*(4.*G4_Xphi - 3.*G5_phiphi) + - 6.*pow(X,2)*(10.*F4_phi + 2.*G4_XXphi - G5_Xphiphi) + - 24.*pow(X,3)*F4_Xphi + + ( + + G2_phi/2. - X*(G2_Xphi - G3_phiphi) + )*pow(H,-2) + - X*( + + 5.*G5_Xphi + 2.*X*(G5_XXphi - 42.*F5_phi) - 24.*pow(X,2)*F5_Xphi + )*H*phi_prime/a + + 3.*( + + G4_phiphi - X*(G3_Xphi - 2.*G4_Xphiphi) + )*phi_prime/a/H + )/pvecback[pba->index_bg_M2_smg]; + + return _SUCCESS_; +} + + +/** +* Get gravity functions Cs from Bs. +* +* @param pba Input: pointer to background structure +* @param pvecback Input/Output: vector of background quantities +* @return the error status +*/ +int gravity_functions_Cs_from_Bs_smg( + struct background *pba, + double * pvecback, + double * pvecback_derivs + ) { + + // basic background quantities + double a = pvecback[pba->index_bg_a]; + double H = pvecback[pba->index_bg_H]; + double H_p = pvecback[pba->index_bg_H_prime]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_smg = pvecback[pba->index_bg_p_smg]; + double rho_smg = pvecback[pba->index_bg_rho_smg]; + // factor to convert lna derivatives to tau derivatives + double factor = a*H; + + // alphas + double M2 = pvecback[pba->index_bg_M2_smg]; + double DelM2 = pvecback[pba->index_bg_delta_M2_smg]; + double kin = pvecback[pba->index_bg_kineticity_smg]; + double bra = pvecback[pba->index_bg_braiding_smg]; + double run = pvecback[pba->index_bg_M2_running_smg]; + double ten = pvecback[pba->index_bg_tensor_excess_smg]; + double beh = pvecback[pba->index_bg_beyond_horndeski_smg]; + double dM2 = pvecback[pba->index_bg_delta_M2_smg]; + + // need to update the time derivatives of the interesting functions + double kin_p = factor*pvecback_derivs[pba->index_bg_kineticity_smg]; + double bra_p = factor*pvecback_derivs[pba->index_bg_braiding_smg]; + double run_p = factor*pvecback_derivs[pba->index_bg_M2_running_smg]; + double ten_p = factor*pvecback_derivs[pba->index_bg_tensor_excess_smg]; + double beh_p = factor*pvecback_derivs[pba->index_bg_beyond_horndeski_smg]; + double p_tot_p = factor*pvecback_derivs[pba->index_bg_p_tot_wo_smg]; + double p_smg_p = factor*pvecback_derivs[pba->index_bg_p_smg]; + + // alphas over scalar field + double kin_ss = pvecback[pba->index_bg_kineticity_over_phiphi_smg]; + double bra_s = pvecback[pba->index_bg_braiding_over_phi_smg]; + double beh_s = pvecback[pba->index_bg_beyond_horndeski_over_phi_smg]; + + // Bs + double B0 = pvecback[pba->index_bg_B0_smg]; + double B1 = pvecback[pba->index_bg_B1_smg]; + double B2 = pvecback[pba->index_bg_B2_smg]; + double B3 = pvecback[pba->index_bg_B3_smg]; + double B4 = pvecback[pba->index_bg_B4_smg]; + double B5 = pvecback[pba->index_bg_B5_smg]; + double B6 = pvecback[pba->index_bg_B6_smg]; + double B7 = pvecback[pba->index_bg_B7_smg]; + double B8 = pvecback[pba->index_bg_B8_smg]; + double B9 = pvecback[pba->index_bg_B9_smg]; + double B10 = pvecback[pba->index_bg_B10_smg]; + double B11 = pvecback[pba->index_bg_B11_smg]; + double B12 = pvecback[pba->index_bg_B12_smg]; + + // kinetic term D over phiphi + pvecback[pba->index_bg_kinetic_D_over_phiphi_smg] = + + kin_ss + 3./2.*pow(bra_s,2); + + // C0 + pvecback[pba->index_bg_C0_smg] = B0; + + // C1 + pvecback[pba->index_bg_C1_smg] = kin_ss*(1. + ten) - 3./2.*bra_s*B6; + + // C2 + pvecback[pba->index_bg_C2_smg] = - kin_ss*(2. + run) - 3.*bra_s*B5; + + // C3 + pvecback[pba->index_bg_C3_smg] = bra_s*beh_s; + + // C4 + pvecback[pba->index_bg_C4_smg] = kin_ss*B1 - 3.*bra_s*B7; + + // C5 + pvecback[pba->index_bg_C5_smg] = - kin_ss*beh_s; + + // C6 + pvecback[pba->index_bg_C6_smg] = kin_ss*B2 - 3.*bra_s*B9; + + // C7 + pvecback[pba->index_bg_C7_smg] = kin_ss*B3 - 3.*bra_s*B8; + + // C8 + pvecback[pba->index_bg_C8_smg] = B4; + + // C9 + pvecback[pba->index_bg_C9_smg] = - bra_s - bra_s*run/2. + B5; + + // C10 + pvecback[pba->index_bg_C10_smg] = bra_s*(1. + ten) + B6; + + // C11 + pvecback[pba->index_bg_C11_smg] = bra_s*B1/2. + B7; + + // C12 + pvecback[pba->index_bg_C12_smg] = bra_s*B2/2. + B9; + + // C13 + pvecback[pba->index_bg_C13_smg] = bra_s*B3/2. + B8; + + // C14 + pvecback[pba->index_bg_C14_smg] = B10; + + // C15 + pvecback[pba->index_bg_C15_smg] = B11; + + // C16 + pvecback[pba->index_bg_C16_smg] = B12; + + return _SUCCESS_; +} diff --git a/gravity_smg/gravity_models_smg.c b/gravity_smg/gravity_models_smg.c new file mode 100644 index 00000000..aaabb1a5 --- /dev/null +++ b/gravity_smg/gravity_models_smg.c @@ -0,0 +1,1334 @@ +#include "gravity_models_smg.h" + + +/** +* Fix gravity_model properties. +* This includes two cases: +* - in scalar tensor theories this is the only place +* were you specify the theory +* - in parametrizations this regulates the evolution +* of the perturbations, while the background is fixed +* in "_expansion_properties_" +* +* @param pfc Input: pointer to local structure +* @param pba Input/output: pointer to background structure +* @param string1 Input: name of the gravity model +* @param has_tuning_index_smg Input: index of parameters_smg which should be tuned +* @param has_dxdy_guess_smg Input: parameter variation range +* @param errmsg Input: Error message +* @return the error status +*/ +int gravity_models_gravity_properties_smg( + struct file_content * pfc, + struct background *pba, + char string1[_ARGUMENT_LENGTH_MAX_], + int has_tuning_index_smg, + int has_dxdy_guess_smg, + ErrorMsg errmsg + ) { + + int flag2, flag3; + char string2[_ARGUMENT_LENGTH_MAX_]; + char string3[_ARGUMENT_LENGTH_MAX_]; + /** Loop over the different models + * flag2 keeps track of whether model has been identified + */ + + flag2=_FALSE_; + + /** read the model and loop over models to set several flags and variables + * field_evolution_smg: for self-consistent scalar tensor theories, need to evolve the background equations + * M2_evolution_smg: for some parameterizations, need to integrate M2 from alpha_M + * Primary and secondary parameters: The tuning is alway in terms of a value in parameters_smg, therefore + * -> real models: "parameters_smg" to pba->parameters_smg + * -> parameterizations: "parameters_smg" to pba->parameters_2_smg + * "expansion_smg" to pba->parameters_smg + */ + + if (strcmp(string1,"propto_omega") == 0) { + pba->gravity_model_smg = propto_omega; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 5; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strcmp(string1,"propto_scale") == 0) { + pba->gravity_model_smg = propto_scale; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 5; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strcmp(string1,"constant_alphas") == 0) { + pba->gravity_model_smg = constant_alphas; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 5; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strcmp(string1,"eft_alphas_power_law") == 0) { + pba->gravity_model_smg = eft_alphas_power_law; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 8; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strcmp(string1,"eft_gammas_power_law") == 0) { + pba->gravity_model_smg = eft_gammas_power_law; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 8; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strcmp(string1,"eft_gammas_exponential") == 0) { + pba->gravity_model_smg = eft_gammas_exponential; + pba->field_evolution_smg = _FALSE_; + pba->M2_evolution_smg = _TRUE_; + flag2=_TRUE_; + pba->parameters_2_size_smg = 8; + class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); + } + + if (strncmp("quintessence", string1, strlen("quintessence")) == 0) { + // Check if gravity_model has quintessence as prefix. + // Add here all variables common to quintessence. + pba->is_quintessence_smg = _TRUE_; + class_read_double("quintessence_w_safe_smg", pba->quintessence_w_safe_smg); + } + + if (strcmp(string1,"quintessence_monomial") == 0) { + pba->gravity_model_smg = quintessence_monomial; + pba->field_evolution_smg = _TRUE_; + pba->is_quintessence_smg = _TRUE_; + flag2=_TRUE_; + + pba->parameters_size_smg = 4; + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + + /* Guess for the parameter variation range. + * + * For the initial parameter one can use: + * + * rho_smg = 1/2*a_ini^-2*phi_prime_ini^2 + V0*3*H0^2/h^2*phi_ini^N + * + * However, for the range of variation it is better to use + * + * Omega = rho_smg/(rho_smg + rho_m) + * + * => dOmega/dx_i = rho_m/(rho_smg+rho_m)^2 drho_smg/dx_i + * => tuning_dxdy_guess_smg = (dOmega/dx_i)^{-1} + * where we use rho_m ~ H_0^2 + * + * drho_smg/dV0 = 10^-7*phi_ini^N + */ + + double N = pba->parameters_smg[0]; + double V0 = pba->parameters_smg[1]; + double phi_prime_ini_smg = pba->parameters_smg[2]; + double phi_ini_smg = pba->parameters_smg[3]; + + double P_ini = pow(phi_ini_smg, N); // V=cte*P(phi) + + double phi_end_guess = fmax(phi_ini_smg,2); //guess the final value of the field + + // class_test( ((abs(N)<1) || (abs(N)>7)), errmsg, "Exponent out of range. N must be a interger in (1,7)-range" ); + + if (has_tuning_index_smg == _FALSE_) + pba->tuning_index_smg = 1; //use V0 for default tuning + + if (has_dxdy_guess_smg == _FALSE_) { + + if(pba->tuning_index_smg == 1) { + // if(phi_ini_smg != 0){ + V0 = pba->Omega0_smg/pow(phi_end_guess,N); + pba->tuning_dxdy_guess_smg = 1./pow(phi_end_guess,N); + pba->parameters_smg[1] = V0; + // } + // else{ + // V0 = pba->Omega0_smg/pow(1.e-40,N); + // pba->tuning_dxdy_guess_smg = 1./pow(1.e-40,N); + // pba->parameters_smg[1] = V0; + // + // } + } + + if(pba->tuning_index_smg == 3){ + phi_ini_smg = pow(pba->Omega0_smg/V0, 1./N); + pba->parameters_smg[3] = phi_ini_smg; + pba->tuning_dxdy_guess_smg = phi_ini_smg/(pba->Omega0_smg)/N; + } + } + //end of no has_dxdy_guess_smg + } + //end of quintessence_monomial + + if (strcmp(string1,"quintessence_tracker") == 0) { + pba->gravity_model_smg = quintessence_tracker; + pba->field_evolution_smg = _TRUE_; + pba->is_quintessence_smg = _TRUE_; + flag2=_TRUE_; + + pba->parameters_size_smg = 6; + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + + double K_ini = pba->parameters_smg[0]; + double P_ini = pba->parameters_smg[1]; + double V0 = pba->parameters_smg[2]; + double n = pba->parameters_smg[3]; + double m = pba->parameters_smg[4]; + double lambda = pba->parameters_smg[5]; + + /* Guess for the parameter variation range. + * + * For the initial parameter one can use: + * V = H0^2/h^2* V0 * phi^-n exp(lambda*phi^m) + * + * minimum at phi0 = (n/(lambda*m))^(1/m) + * -> choose V0 ~ V(phi0)~Omega_smg H_0^2 + * + * Initial conditions: see background.c + * + * choose phi_ini so V = P_ini*sqrt(rho_rad) + * choose phi_prime_ini so K = K_ini*sqrt(rho_rad) + * + */ + + double phi_0 = pow(n/lambda/m,1./m); /* minimum of the potential */ + double v_0_guess = (pow(phi_0,-n) * exp(lambda*pow(phi_0,m))); /*V/V0 at the minimum*/ + + if (has_tuning_index_smg == _FALSE_) + pba->tuning_index_smg = 2; //use V0 for default tuning + + if (has_dxdy_guess_smg == _FALSE_){ + if(pba->tuning_index_smg == 2){ + + V0 = 3* pba->h * (pba->Omega0_smg)/v_0_guess; + pba->tuning_dxdy_guess_smg = 3. * pba->h/ (v_0_guess); //*(1-pba->Omega0_smg) -> removed, lead to instability! + pba->parameters_smg[2] = V0; + } + } + //end of no has_dxdy_guess_smg + } + //end of tracker + + if (strcmp(string1,"alpha_attractor_canonical") == 0) { + pba->gravity_model_smg = alpha_attractor_canonical; + pba->field_evolution_smg = _TRUE_; + pba->is_quintessence_smg = _TRUE_; + flag2=_TRUE_; + + pba->parameters_size_smg = 6; + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + + class_call(parser_read_string(pfc,"log_10_param_alpha",&string2,&flag2,errmsg), + errmsg, + errmsg); + + if(flag2 == _TRUE_ && ((strstr(string2,"y") != NULL) || (strstr(string2,"Y") != NULL))){ + pba->parameters_smg[2] = pow(10, pba->parameters_smg[2]); + } + + class_call(parser_read_string(pfc,"use_phi_no_f",&string2,&flag2,errmsg), + errmsg, + errmsg); + + if(flag2 == _TRUE_ && ((strstr(string2,"y") != NULL) || (strstr(string2,"Y") != NULL))){ + pba->parameters_smg[1] = pba->parameters_smg[1]/sqrt(pba->parameters_smg[2]); + } + + /* Guess for the parameter variation range. Copied from galileons. + * + * For the initial parameter one can use: + * + * However, for the range of variation it is better to use + * + * Omega = rho_smg/(rho_smg + rho_m) + * + * => dOmega/dx_i = rho_m/(rho_smg+rho_m)^2 drho_smg/dx_i + * => tuning_dxdy_guess_smg = (dOmega/dx_i)^{-1} + * where we use rho_m ~ H_0^2 + * + */ + + //Note: f = phi/sqrt(alpha) + + if (pba->Omega_smg_debug == 0.) { + double phi_prime_ini = pba->parameters_smg[0]; + double f_ini = pba->parameters_smg[1]; + double alpha = pba->parameters_smg[2]; + double c = pba->parameters_smg[3]; + double p = pba->parameters_smg[4]; + double n = pba->parameters_smg[5]; + double x = tanh(f_ini/(sqrt(6))); + double v = alpha* pow(x,p)/pow(1+x, 2*n); // v = V/c^2 + double rho_c = pow(pba->H0, 2); + + + if (has_tuning_index_smg == _FALSE_) + pba->tuning_index_smg = 3; //use V0 for default tuning + + if (has_dxdy_guess_smg == _FALSE_){ + if(pba->tuning_index_smg == 3){ + c = sqrt(pba->Omega0_smg * rho_c / v); + pba->tuning_dxdy_guess_smg = pow((1 + 3*pba->Omega0_smg) * pba->H0,2)/(2*c*v); + pba->parameters_smg[3] = c; + } + }//end of no has_dxdy_guess_smg + } + //end Omega_smg_debug + } + //end of alpha_attractor_canonical + + if (strcmp(string1,"galileon") == 0) { + pba->gravity_model_smg = galileon; + pba->field_evolution_smg = _TRUE_; + pba->parameters_size_smg = 7; + flag2=_TRUE_; + + /* Galileon dynamics pulls towards the shift-symmetry attractor n = 0 with + * + * n/H0 = xi(c2 - 6c3 xi + 18c4 xi^2 + 5c5 xi^4) + * + * and xi = \dot\phi H /H0^2 + * + * If attractor_ic_smg => n=0 is set in background_initial_conditions + */ + + + /* Guess for the parameter variation range. For the initial parameter one can use + * + * rho_smg*H^2/H_0^4 = c2 xi^2/6 - 2 c3 xi^3 + 15/2 c4 xi^4 + 7/3 c5 xi^5 + * + * (Barreira+ '14 2.22 for z\neq 0), which equals Omega_smg at z=0 only if tuned. + * + * There are three submodels (taken on tracker): + * 1) rogue mode: user sets all (if Omega_smg_debug or NO attractor_ic_smg) + * 2) cubic attractor: c3, xi set for attractor + * 3) quartic/quintic attractor: c3, c4 set xi for attractor + */ + + + // read submodel: remember flag2 used for test over gravity models + class_call(parser_read_string(pfc,"gravity_submodel",&string2,&flag3,errmsg), + errmsg, + errmsg); + + /*1) base galileon, user specifies everything! */ + if (flag3==_FALSE_) { + + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + + } + else { + //a submodel is given + + /* temporary allocation, will be rewritten latter + * order is xi, phi, c2, c3, c4, c5 */ + class_alloc(pba->parameters_smg, sizeof(double*)*pba->parameters_size_smg,pba->error_message); + double * input_params_gal; //dummy allocation vector + + double xi, c2, c3, c4, c5; + double phi0 = 0, c1 = 0; + + /*2) cubic Galileon in the attractor + * Omega = -c2^3/(6^3 c3^2) and xi = c2/(6c3) + */ + if (strcmp(string2,"cubic") == 0) { + + c2 = -1.; + c3 = -sqrt(-pow(c2/6.,3)/pba->Omega0_smg); + xi = c2/6./c3; + c4 = 0; + c5 = 0; + + }//end of cubic + /* 3) quartic Galileon on the attractor + */ + else if (strcmp(string2,"quartic") == 0) { + + class_read_list_of_doubles("parameters_smg",input_params_gal,1); + xi = input_params_gal[0]; + c2 = -1; + c3 = (4.*pba->Omega0_smg + c2*pow(xi,2))/(2.*pow(xi,3)); + c4 = (6.*pba->Omega0_smg + c2*pow(xi,2))/(9.*pow(xi,4)); + c5 = 0; + + }/* 4) quartic Galileon on the attractor + */ + else if (strcmp(string2,"quintic") == 0) {//Quintic case + + class_read_list_of_doubles("parameters_smg",input_params_gal,2); + xi = input_params_gal[0]; + c2 = -1; + c3 = input_params_gal[1]; + c4 = -(10*pba->Omega0_smg + 3*c2*pow(xi,2) - 8*c3*pow(xi,3))/(9.*pow(xi,4)); + c5 = (4*pba->Omega0_smg + pow(xi,2)*(c2 - 2*c3*xi))/pow(xi,5); + + }//end of quintic + else { + class_test(flag3 == _TRUE_, + errmsg, + "Galileon: you specified a gravity_submodel that could not be identified. \n Options are: cubic, quartic, quintic"); + }; + + /* Set parameters for submodels */ + pba->parameters_smg[0] = xi; + pba->parameters_smg[1] = c1; + pba->parameters_smg[2] = c2; + pba->parameters_smg[3] = c3; + pba->parameters_smg[4] = c4; + pba->parameters_smg[5] = c5; + pba->parameters_smg[6] = phi0; + + } + //end of submodels + + /* default tuning index is 3 */ + if (has_tuning_index_smg == _FALSE_){ + pba->tuning_index_smg = 3; //use c3 for default tuning + //Use the tracker condition for the cubic to define xi_0, in case xi is used as an IC. + pba->tuning_dxdy_guess_smg = 2./pow(pba->parameters_smg[2]/6./pba->parameters_smg[3],3); + //pba->tuning_dxdy_guess_smg = 2./pow(pba->parameters_smg[0],3); // d(c3)/d(Omega_smg) = 2/xi^3 and xi = c2/6./c3; + } + class_test(has_dxdy_guess_smg == _TRUE_ && has_tuning_index_smg == _FALSE_, + errmsg, + "Galileon: you gave dxdy_guess_smg but no tuning_index_smg. You need to give both if you want to tune the model yourself"); + + class_call(parser_read_string(pfc,"attractor_ic_smg",&string3,&flag3,errmsg), + errmsg, + errmsg); + + if (flag3 == _TRUE_) { + if ((strstr(string3,"y") != NULL) || (strstr(string3,"Y") != NULL)) { + pba->attractor_ic_smg = _TRUE_; + } + else{ + pba->attractor_ic_smg = _FALSE_; + } + } + } + //end of Galileon + + if (strcmp(string1,"brans dicke") == 0 || strcmp(string1,"Brans Dicke") == 0 || strcmp(string1,"brans_dicke") == 0) { + pba->gravity_model_smg = brans_dicke; + pba->field_evolution_smg = _TRUE_; + flag2=_TRUE_; + + pba->parameters_size_smg = 4; + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + pba->parameters_smg[0] = 2*pba->Omega0_smg; + pba->tuning_dxdy_guess_smg = 0.5; + pba->tuning_index_2_smg = 2; + + /** Read the desired Planck mass and check that the necessary information is provided. + * if needed re-assign shooting parameter for the Planck mass + */ + class_call(parser_read_string(pfc, "M2_tuning_smg", &string3, &flag3, errmsg), + errmsg, + errmsg); + + if (flag3 == _TRUE_){ + if((strstr(string3,"y") != NULL) || (strstr(string3,"Y") != NULL)){ + + pba->M2_tuning_smg = _TRUE_; + + class_read_double("M2_today_smg",pba->M2_today_smg); + + class_call(parser_read_string(pfc,"normalize_G_NR", + &string3, + &flag3, + errmsg), + errmsg, + errmsg); + + if (flag3 == _TRUE_){ + if((strstr(string3,"y") != NULL) || (strstr(string3,"Y") != NULL)){ + double omega_BD = pba->parameters_smg[1]; + pba->M2_today_smg = (4.+2.*omega_BD)/(3.+2.*omega_BD); + } + } + + class_read_double("param_shoot_M2_smg",pba->parameters_smg[pba->tuning_index_2_smg]); + // printf("updating param = %e to tune M2 \n",pba->parameters_smg[pba->tuning_index_2_smg]); + } + } + } + + if (strcmp(string1,"nkgb") == 0 || strcmp(string1,"n-kgb") == 0 || strcmp(string1,"N-KGB") == 0 || strcmp(string1,"nKGB") == 0) { + // This is self-accelerating KGB with K=-X and G(X)=1/n g^(2n-1)/2 * X^n + pba->gravity_model_smg = nkgb; + pba->field_evolution_smg = _TRUE_; + if (has_tuning_index_smg == _FALSE_ && pba->Omega_smg_debug == 0){ + pba->tuning_index_smg = 0; //use g for default tuning + } + class_test(has_dxdy_guess_smg == _TRUE_ && has_tuning_index_smg == _FALSE_, + errmsg, + "nKGB: you gave dxdy_guess_smg but no tuning_index_smg. You need to give both if you want to tune the model yourself"); + if(has_dxdy_guess_smg == _FALSE_){ + pba->tuning_dxdy_guess_smg = -0.5; + } + flag2=_TRUE_; + + pba->parameters_size_smg = 3; // g, n, xi0 == rho_DE_0(shift charge)/rho_DE_0(total) + class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); + class_test(pba->parameters_smg[1]<=0.5,errmsg,"In n-KGB G(X)=X^n n>1/2 for acceleration. Note that limit n->1/2 is singular and models become badly behaved for n<0.7"); + class_test(pba->parameters_smg[2]>=1.,errmsg,"In n-KGB, Rshift0<1 for positive energy density today."); + class_test(pba->parameters_smg[2]<0.,errmsg,"In n-KGB, Rshift0>=0, or ICs for background can't be set."); + } + //end of nKGB + + class_test(flag2==_FALSE_, + errmsg, + "could not identify gravity_theory value, check that it is one of 'propto_omega', 'propto_scale', 'constant_alphas', 'eft_alphas_power_law', 'eft_gammas_power_law', 'eft_gammas_exponential', 'brans_dicke', 'galileon', 'nKGB', 'quintessence_monomial', 'quintessence_tracker', 'alpha_attractor_canonical' ..."); + + return _SUCCESS_; +} + +/** +* Fix expansion history properties. +* +* @param pfc Input: pointer to local structure +* @param pba Input/output: pointer to background structure +* @param string1 Input: name of the gravity model +* @param errmsg Input: Error message +* @return the error status +*/ +int gravity_models_expansion_properties_smg( + struct file_content * pfc, + struct background *pba, + char string1[_ARGUMENT_LENGTH_MAX_], + ErrorMsg errmsg + ) { + + /* Define local variables */ + int flag2 = _FALSE_; + int n; + + //possible expansion histories. Can make tests, etc... + if (strcmp(string1,"lcdm") == 0) { + pba->expansion_model_smg = lcdm; + flag2=_TRUE_; + pba->parameters_size_smg = 1; + pba->rho_evolution_smg=_FALSE_; + class_read_list_of_doubles("expansion_smg",pba->parameters_smg,pba->parameters_size_smg); + } + //accept different names + + if (strcmp(string1,"wowa") == 0 || strcmp(string1,"w0wa") == 0 || strcmp(string1,"cpl") == 0 ) { + pba->expansion_model_smg = wowa; + flag2=_TRUE_; + pba->parameters_size_smg = 3; + pba->rho_evolution_smg=_FALSE_; + class_read_list_of_doubles("expansion_smg",pba->parameters_smg,pba->parameters_size_smg); + } + + if (strcmp(string1,"wowa_w") == 0 || strcmp(string1,"w0wa_w") == 0 || strcmp(string1,"cpl_w") == 0 ) { + pba->expansion_model_smg = wowa_w; + flag2=_TRUE_; + pba->parameters_size_smg = 3; + pba->rho_evolution_smg=_TRUE_; + class_read_list_of_doubles("expansion_smg",pba->parameters_smg,pba->parameters_size_smg); + } + + if (strcmp(string1,"wede") == 0) { + //ILSWEDE + pba->expansion_model_smg = wede; + flag2=_TRUE_; + pba->parameters_size_smg = 3; + class_read_list_of_doubles("expansion_smg",pba->parameters_smg,pba->parameters_size_smg); + class_read_double("wede_Omega_e_regularizer_smg",pba->wede_Omega_e_regularizer_smg); + // //optimize the guessing BUG: eventually leads to problem in the MCMC, perhaps the guess is too good? + // if(pba->tuning_index_smg == 0){ + // pba->parameters_smg[0] = pba->Omega0_smg; + // } + } + + class_test(flag2==_FALSE_, + errmsg, + "could not identify expansion_model value, check that it is either lcdm, wowa, wowa_w, wede ..."); + + return _SUCCESS_; +} + + +/** +* Overwrite the default values of the Gs depending on the model. +* This is the only place where the shape of the Gs is specified. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback_B Input: vector containing all {B} quantities +* @param pgf Input: pointer to G_functions_and_derivs structure +* @return the error status +*/ +int gravity_models_get_Gs_smg( + struct background *pba, + double a, + double * pvecback_B, + struct G_functions_and_derivs *pgf + ) { + + double phi = pvecback_B[pba->index_bi_phi_smg]; + double phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; + double X = 0.5*pow(phi_prime/a,2); + + /* Overwrite the Horneski functions and their partial derivatives depending on the model */ + if (pba->gravity_model_smg == quintessence_monomial) { + + double N = pba->parameters_smg[0]; + double V0 = pba->parameters_smg[1]; + + pgf->G2 = X - V0*pow(pba->H0/pba->h,2.)*pow(phi,N); // V written as in arXiv:1406.2301 in CLASS units + pgf->G2_X = 1.; + pgf->G2_phi = -N*V0*pow(pba->H0/pba->h,2.)*pow(phi,N-1.); + pgf->G2_phiphi = -N*(N-1)*V0*pow(pba->H0/pba->h,2.)*pow(phi,N-2.); + } + + else if (pba->gravity_model_smg == quintessence_tracker) { + // V written as in arXiv:1406.2301 in CLASS units + + double V0 = pba->parameters_smg[2]; + double n = pba->parameters_smg[3]; + double m = pba->parameters_smg[4]; + double lambda = pba->parameters_smg[5]; + double V, V_phi; + + V = pow(pba->H0/pba->h,2)* V0 * pow(phi, -n) * exp(lambda*pow(phi, m)); + V_phi = (lambda * m * pow(phi, m) - n) /phi * V; + + pgf->G2 = X - V; + pgf->G2_X = 1.; + pgf->G2_phi = -V_phi; + } + + else if (pba->gravity_model_smg == alpha_attractor_canonical) { + // V written as in eq. 12 of arXiv:1505.00815 in CLASS units with canonical field. + + double alpha = pba->parameters_smg[2]; + double c2 = pow(pba->parameters_smg[3], 2); + double p = pba->parameters_smg[4]; + double n = pba->parameters_smg[5]; + double V, V_phi; + double x = tanh(phi/(sqrt(6*alpha))); + double y = sinh(sqrt(2/(3*alpha))*phi); + V = alpha* c2 * pow(x,p)/pow(1+x, 2*n); + + V_phi = sqrt(2*alpha/3)*c2* pow(x,p)* (p +(p-2*n)*x)/(y * pow(1+x,2*n +1)); + + pgf->G2 = X - V; + pgf->G2_X = 1.; + pgf->G2_phi = -V_phi; + + class_test((phi < 0. ) && ( phi_prime > 0 ) + && (pba->parameters_tuned_smg == _TRUE_) + && (pba->skip_stability_tests_smg == _FALSE_), + pba->error_message, + "The model has started oscillating with first minimum at a = %e. Since = 0 yields matter, it cannot make the universe expand accelerately.", a); + } + + else if(pba->gravity_model_smg == galileon){ + + double M3 = pow(pba->H0,2); + + double Lambda1 = pba->parameters_smg[1]*M3; + double Lambda2 = pba->parameters_smg[2]; + double Lambda3 = pba->parameters_smg[3]/M3; + double Lambda4 = pba->parameters_smg[4]*pow(M3,-2); + double Lambda5 = pba->parameters_smg[5]*pow(M3,-3); + + pgf->G2 = Lambda2*X - 0.5*Lambda1*phi; + pgf->G2_X = Lambda2; + pgf->G2_phi = - 0.5*Lambda1; + /* pgf->G_3 = -2*Lambda3*X */ + pgf->G3_X = -2.*Lambda3; + /* pgf->G_4 = 1/2 + Lambda4 X^2 */ + pgf->DG4 = Lambda4*pow(X,2); + pgf->G4 = 1/2. + pgf->DG4; + pgf->G4_X = 2.*Lambda4*X; + pgf->G4_XX = 2.*Lambda4; + /* pgf->G_5 = Lambda5*pow(X,2) */ + pgf->G5_X = 2.*Lambda5*X; + pgf->G5_XX = 2.*Lambda5; + } + + else if(pba->gravity_model_smg == brans_dicke){ + + /* Brans-Dicke can't cause acceleration: + * - V is a constant potential, basically a cosmological constant + * - omega is the Brans-Dicke parameter in charge of the fifth force + */ + double V = 3.*pba->parameters_smg[0]*pow(pba->H0,2); + double omega = pba->parameters_smg[1]; + + pgf->G2 = -V + omega*X/phi; + pgf->G2_X = omega/phi; + pgf->G2_Xphi = -omega/pow(phi,2); + pgf->G2_phi = -omega*X/pow(phi,2); + + pgf->DG4 = (phi-1.)/2.; + pgf->G4 = phi/2.; + pgf->G4_phi = 1./2.; + + } + + else if(pba->gravity_model_smg == nkgb){ + + /* Action is + + -X + 1/n * g^[(2n-1)/2] Lambda (X/Lambda^4)^n box(phi) + + g was picked like this so that it approx. remains g*Omega_smg0 ~ O(1) for all n + Note that for n=1/4 the Lambda mass scales cancels out, so we set it to 1. + */ + + double g = pba->parameters_smg[0]; + double npow = pba->parameters_smg[1]; + double ngpow = copysign(1.,g)*pow(fabs(g),(2.*npow-1.)/2.)/npow; + double H0=pba->H0; + + pgf->G2 = -X; + pgf->G2_X = -1.; + + // pgf->G3 = 1/n g^[(2n-1)/2] Lambda (X/Lambda^4)^n + + pgf->G3_X = npow*ngpow*pow(X,npow-1)/pow(H0,2*npow); + pgf->G3_XX = npow*(npow-1.)*ngpow*pow(X,npow-2)/pow(H0,2*npow); + + } + + return _SUCCESS_; +} + + +/** +* Get the background parametrizations, either parametrizing +* rho_smg and p_smg or w_smg. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_B Input: vector containing all {B} quantities +* @return the error status +*/ +int gravity_models_get_back_par_smg( + struct background *pba, + double a, + double * pvecback, + double * pvecback_B + ) { + + + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + + if (pba->expansion_model_smg == lcdm){ + + double Omega_const_smg = pba->parameters_smg[0]; + + pvecback[pba->index_bg_rho_smg] = Omega_const_smg*pow(pba->H0,2); + pvecback[pba->index_bg_p_smg] = -Omega_const_smg*pow(pba->H0,2); + } + + else if (pba->expansion_model_smg == wowa){ + + double Omega_const_smg = pba->parameters_smg[0]; + double w0 = pba->parameters_smg[1]; + double wa = pba->parameters_smg[2]; + + pvecback[pba->index_bg_rho_smg] = Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1. + w0 + wa)) * exp(3.*wa*(a-1.)); + pvecback[pba->index_bg_p_smg] = (w0+(1-a)*wa) * Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1.+w0+wa)) * exp(3.*wa*(a-1.)); + } + + else if (pba->expansion_model_smg == wowa_w){ + + //double Omega_const_smg = pba->parameters_smg[0]; + double w0 = pba->parameters_smg[1]; + double wa = pba->parameters_smg[2]; + + pvecback[pba->index_bg_w_smg] = w0+(1-a)*wa; + + //DT: All commented out parts are now before th definition of pvecback_integration[pba->index_bi_rho_smg] (L2784) + + //if (pba->initial_conditions_set_smg == _FALSE_) { + // Here we provide wi wf from w= (1-a)*wi+a*wf. + // This is useful to set the initial conditions for the energy density. + // The value inferred here is just a guess, since then the shooting will modify it. + // double wi = w0+wa; + // double wf = w0; + + // pvecback[pba->index_bg_rho_smg] = Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1. + wi)) * exp(3.*(wi-wf)*(a-1.)); + //} + //else { + pvecback[pba->index_bg_rho_smg] = pvecback_B[pba->index_bi_rho_smg]; + //} + pvecback[pba->index_bg_p_smg] = pvecback[pba->index_bg_w_smg] * pvecback[pba->index_bg_rho_smg]; + + } + + else if (pba->expansion_model_smg == wede){ + + //Doran-Robbers model astro-ph/0601544 + //as implemented in Pettorino et al. 1301.5279 + //NOTE: rewrite the expressions integrating the equation of state + + double Om0 = pba->parameters_smg[0]; + double w0 = pba->parameters_smg[1]; + double Ome = pba->parameters_smg[2] + pba->wede_Omega_e_regularizer_smg; + + double Om = ((Om0 - Ome*(1.-pow(a,-3.*w0)))/(Om0 + (1.-Om0)*pow(a,3*w0)) + Ome*(1.-pow(a,-3*w0))); + double dOm_da = (3*pow(a,-1 - 3*w0)*(-1 + Om0)*(-2*pow(a,3*w0)*(-1 + Om0)*Ome + Om0*Ome + pow(a,6*w0)*(Om0 - 2*Ome + Om0*Ome))*w0)/pow(-(pow(a,3*w0)*(-1 + Om0)) + Om0,2); //from Mathematica + //I took a_eq = a*rho_r/rho_m, with rho_r = 3*p_tot_wo_smg + double a_eq = 3.*a*p_tot/(pvecback[pba->index_bg_rho_b]+pvecback[pba->index_bg_rho_cdm]); //tested! + double w = a_eq/(3.*(a+a_eq)) -a/(3.*(1-Om)*Om)*dOm_da; + + pvecback[pba->index_bg_rho_smg] = rho_tot*Om/(1.-Om); + //pow(pba->H0,2)/pow(a,3)*Om*(Om-1.)/(Om0-1.)*(1.+a_eq/a)/(1.+a_eq); //this eq is from Pettorino et al, not working + pvecback[pba->index_bg_p_smg] = w*pvecback[pba->index_bg_rho_smg]; + +// if (a>0.9) +// printf("a = %e, w = %f, Om_de = %e, rho_de/rho_t = %e \n",a,w,Om, +// pvecback[pba->index_bg_rho_smg]/(pvecback[pba->index_bg_rho_smg]+rho_tot)); + } + + return _SUCCESS_; +} + + +/** +* Get the alphas parametrizations. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_B Input: vector containing all {B} quantities +* @return the error status +*/ +int gravity_models_get_alphas_par_smg( + struct background *pba, + double a, + double * pvecback, + double * pvecback_B + ) { + + + double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]+pvecback[pba->index_bg_rho_smg]; + double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]+pvecback[pba->index_bg_p_smg]; + double Omega_smg = pvecback[pba->index_bg_rho_smg]/rho_tot; + + /* defined always (otherwise the compiler complains), but used only + * if we need to integrate Mpl_running_smg */ + double delta_M2; + if (pba->M2_evolution_smg == _TRUE_) { + delta_M2 = pvecback_B[pba->index_bi_delta_M2_smg]; + } + + if (pba->gravity_model_smg == propto_omega) { + + double c_k = pba->parameters_2_smg[0]; + double c_b = pba->parameters_2_smg[1]; + double c_m = pba->parameters_2_smg[2]; + double c_t = pba->parameters_2_smg[3]; + + pvecback[pba->index_bg_kineticity_smg] = c_k*Omega_smg; + pvecback[pba->index_bg_braiding_smg] = c_b*Omega_smg; + pvecback[pba->index_bg_tensor_excess_smg] = c_t*Omega_smg; + pvecback[pba->index_bg_M2_running_smg] = c_m*Omega_smg; + pvecback[pba->index_bg_delta_M2_smg] = delta_M2; //M2-1 + pvecback[pba->index_bg_M2_smg] = 1.+delta_M2; + } + + else if (pba->gravity_model_smg == propto_scale) { + + double c_k = pba->parameters_2_smg[0]; + double c_b = pba->parameters_2_smg[1]; + double c_m = pba->parameters_2_smg[2]; + double c_t = pba->parameters_2_smg[3]; + + pvecback[pba->index_bg_kineticity_smg] = c_k*a; + pvecback[pba->index_bg_braiding_smg] = c_b*a; + pvecback[pba->index_bg_tensor_excess_smg] = c_t*a; + pvecback[pba->index_bg_M2_running_smg] = c_m*a; + pvecback[pba->index_bg_delta_M2_smg] = delta_M2; //M2-1 + pvecback[pba->index_bg_M2_smg] = 1.+delta_M2; + } + + else if (pba->gravity_model_smg == constant_alphas) { + + double c_k = pba->parameters_2_smg[0]; + double c_b = pba->parameters_2_smg[1]; + double c_m = pba->parameters_2_smg[2]; + double c_t = pba->parameters_2_smg[3]; + + pvecback[pba->index_bg_kineticity_smg] = c_k; + pvecback[pba->index_bg_braiding_smg] = c_b; + pvecback[pba->index_bg_tensor_excess_smg] = c_t; + pvecback[pba->index_bg_M2_running_smg] = c_m; + pvecback[pba->index_bg_delta_M2_smg] = delta_M2; //M2-1 + pvecback[pba->index_bg_M2_smg] = 1.+delta_M2; + } + + else if (pba->gravity_model_smg == eft_alphas_power_law) { + + double M_0 = pba->parameters_2_smg[0]; + double c_k = pba->parameters_2_smg[1]; + double c_b = pba->parameters_2_smg[2]; + double c_t = pba->parameters_2_smg[3]; + double M_0_exp = pba->parameters_2_smg[4]; + double c_k_exp = pba->parameters_2_smg[5]; + double c_b_exp = pba->parameters_2_smg[6]; + double c_t_exp = pba->parameters_2_smg[7]; + + pvecback[pba->index_bg_kineticity_smg] = c_k*pow(a, c_k_exp); + pvecback[pba->index_bg_braiding_smg] = c_b*pow(a, c_b_exp); + pvecback[pba->index_bg_tensor_excess_smg] = c_t*pow(a, c_t_exp); + pvecback[pba->index_bg_M2_running_smg] = M_0*M_0_exp*pow(a, M_0_exp)/(1. + M_0*pow(a, M_0_exp)); + pvecback[pba->index_bg_delta_M2_smg] = delta_M2; //M2-1 + pvecback[pba->index_bg_M2_smg] = 1.+delta_M2; + } + + else if ((pba->gravity_model_smg == eft_gammas_power_law) || (pba->gravity_model_smg == eft_gammas_exponential)) { + + double Omega=0., g1=0., g2=0., g3=0., Omega_p=0., Omega_pp=0., g3_p=0.; + double Omega_0=0., g1_0=0., g2_0=0., g3_0=0.; + double Omega_exp=0., g1_exp=0., g2_exp=0., g3_exp=0.; + + Omega_0 = pba->parameters_2_smg[0]; + g1_0 = pba->parameters_2_smg[1]; + g2_0 = pba->parameters_2_smg[2]; + g3_0 = pba->parameters_2_smg[3]; + Omega_exp = pba->parameters_2_smg[4]; + g1_exp = pba->parameters_2_smg[5]; + g2_exp = pba->parameters_2_smg[6]; + g3_exp = pba->parameters_2_smg[7]; + + if (pba->gravity_model_smg == eft_gammas_power_law) { + Omega = Omega_0*pow(a,Omega_exp); + Omega_p = Omega_0*Omega_exp*pow(a,Omega_exp-1.); // Derivative w.r.t. the scale factor + Omega_pp = Omega_0*Omega_exp*(Omega_exp-1.)*pow(a,Omega_exp-2.); // Derivative w.r.t. the scale factor + g1 = g1_0*pow(a,g1_exp); + g2 = g2_0*pow(a,g2_exp); + g3 = g3_0*pow(a,g3_exp); + g3_p = g3_0*g3_exp*pow(a,g3_exp-1.); // Derivative w.r.t. the scale factor + } + else { //(pba->gravity_model_smg == eft_gammas_exponential) + Omega = exp(Omega_0*pow(a,Omega_exp))-1.; + Omega_p = Omega_0*Omega_exp*pow(a,Omega_exp-1.)*exp(Omega_0*pow(a,Omega_exp)); // Derivative w.r.t. the scale factor + Omega_pp = Omega_0*Omega_exp*pow(a,Omega_exp-2.)*exp(Omega_0*pow(a,Omega_exp))*(Omega_exp-1.+Omega_0*Omega_exp*pow(a,Omega_exp)); // Derivative w.r.t. the scale factor + g1 = exp(g1_0*pow(a,g1_exp))-1.; + g2 = exp(g2_0*pow(a,g2_exp))-1.; + g3 = exp(g3_0*pow(a,g3_exp))-1.; + g3_p = g3_0*g3_exp*pow(a,g3_exp-1.)*exp(g3_0*pow(a,g3_exp)); // Derivative w.r.t. the scale factor + } + + + double c_over_H2 = (-pow(a,2.)*Omega_pp + 3.*(Omega + a*Omega_p/2.)*(rho_tot + p_tot)/rho_tot + 3.*(pvecback[pba->index_bg_rho_smg]+pvecback[pba->index_bg_p_smg])/rho_tot)/2.; + + pvecback[pba->index_bg_kineticity_smg] = 2.*(2.*g1*pow(pba->H0,2.)/rho_tot + c_over_H2)/(1. + Omega + g3); + pvecback[pba->index_bg_braiding_smg] = -(g2*pba->H0/sqrt(rho_tot) + a*Omega_p)/(1. + Omega + g3); + pvecback[pba->index_bg_tensor_excess_smg] = -g3/(1. + Omega + g3); + pvecback[pba->index_bg_M2_running_smg] = a*(Omega_p + g3_p)/(1. + Omega + g3); + pvecback[pba->index_bg_delta_M2_smg] = delta_M2; //M2-1 + pvecback[pba->index_bg_M2_smg] = 1.+delta_M2; + + } + + return _SUCCESS_; +} + + +/** +* Set the right initial conditions for each gravity model. +* +* @param pba Input: pointer to background structure +* @param a Input: scale factor +* @param pvecback Output: vector of background quantities (assumed to be already allocated) +* @param pvecback_integration Output: vector of background quantities to be integrated, returned with proper initial values +* @param ptr_rho_rad Input: pointer to the density of radiation +* @return the error status +*/ +int gravity_models_initial_conditions_smg( + struct background *pba, + double a, + double * pvecback, + double * pvecback_integration, + double * ptr_rho_rad + ) { + + double rho_rad = *ptr_rho_rad; + double phi_scale, V_scale,p1,p2,p3; //smg related variables + int i = 0; + + switch (pba->gravity_model_smg) { + + case quintessence_monomial: + pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[3]; + pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[2]*pba->H0; + break; + + case quintessence_tracker: + + /* Tracker quintessence at early times + * V = H0^2/h^2* V0 * phi^-n exp(lambda*phi^m) + * + * log(V/V0) = lambda phi^m - n log (phi) + * + * choose phi_ini so V = P_ini*sqrt(rho_rad) + * choose phi_prime_ini so K = K_ini*sqrt(rho_rad) + * + * initial guess: phi_ini = (log(rho_rad/H0^2)/lambda)^(1/m)) + * then adjust to the right potential using Newton's method + * + */ + + p1 = pba->parameters_smg[3];// n + p2 = pba->parameters_smg[4]; //m + p3 = pba->parameters_smg[5]; //lambda + // phi_scale = gsl_sf_lambert_W0(10); + + //initial guess + phi_scale = pow(log(rho_rad/pba->parameters_smg[2]/pow(pba->H0/pba->h,2)/p3), 1./pba->parameters_smg[4]); + + //log of the potential + V_scale =100;//start off at a high value + + //do a newton root finding + while (i < 100){ + + V_scale = p3*pow(phi_scale,p2) - p1*log(phi_scale) - pba->parameters_smg[1]*log(rho_rad/pba->parameters_smg[2]/pow(pba->H0/pba->h,2)); + + if (fabs(V_scale) < 1e-5) + break; + + phi_scale -= (V_scale)/((p3*p2*pow(phi_scale,p2)-p1)/phi_scale); + i++; + } + printf("V_scale %e, i %i \n",V_scale,i); + + pvecback_integration[pba->index_bi_phi_smg] = phi_scale; + pvecback_integration[pba->index_bi_phi_prime_smg] = -a*sqrt(pba->parameters_smg[0]*2*rho_rad); + + break; + + case alpha_attractor_canonical: + // Note: we are using as input parameters f = phi/sqrt(alpha) + pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[1]*sqrt(pba->parameters_smg[2]); + pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[0]*pba->H0; + break; + + + /* Attractor IC: H\dot\phi = constant = H_0^2 \xi + * phi_prime = xi*a*H_0^2/H (\dot\phi = phi_prime/a) + * assumes H = sqrt(rho_rad) initially + * + * if attractor ICs change xi to fit some attractor value n = 0 with + * + * n/H0 = xi(c2 - 6c3 xi + 18c4 xi^2 + 5c5 xi^4) + * + * This is done at the level of background_initial_conditions + * (this function does not seem to get access to the parameter being varied!) + * + * We pick the nonzero xi closest to the user's given value! + */ + + case galileon: + if(pba->attractor_ic_smg == _TRUE_){ + + double xi = pba->parameters_smg[0]; + double c2 = pba->parameters_smg[2]; + double c3 = pba->parameters_smg[3]; + double c4 = pba->parameters_smg[4]; + double c5 = pba->parameters_smg[5]; + + double x[3]; + double Omega_smg; + int complex; + int i; + double mindiff = 1e100; + + double xi_start = xi; + + //Don't use poly_3_split, is bad unless c3 tiny! + rf_solve_poly_3(5.*c5,18.*c4,-6.*c3,1.*c2,x,&complex); + + if (pba->background_verbose > 2) + { + printf(" galileon attractor \n"); + printf(" c5 = %.2e, c4 = %.2e, c3 = %.3e, c2 = %.3e \n ",c5,c4,c3,c2); + printf(" Solutions (complex = %i): \n",complex); + } + + for (i=0; i<3;i+=1){ + Omega_smg = pow(x[i],2)*(c2/6. -2.*c3*x[i] +15./2.*c4*pow(x[i],2) + 7./3.*c5*pow(x[i],3)); + if (x[i]!=0 && fabs(x[i]-xi)background_verbose > 2) + printf(" xi_%i = %e, Omega_* = %.2e \n",i, x[i],Omega_smg); + } + if (pba->background_verbose > 2) + printf(" Dealer's pick: xi = %e (wish = %e) \n",xi_start,xi); + pvecback_integration[pba->index_bi_phi_prime_smg] = a*xi_start*pow(pba->H0,2)/sqrt(rho_rad); + } + else { + /* non attractor ICs */ + pvecback_integration[pba->index_bi_phi_prime_smg] = a*pba->parameters_smg[0]*pow(pba->H0,2)/sqrt(rho_rad); + } + //phi is irrelevant + pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[6]; + break; + + /* BD IC: note that the field value is basically the planck mass, + * so its initial value should be around 1 + * the derivative we take to be zero, but this can be extended + */ + case brans_dicke: + pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[2]; + pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[3]; + break; + + case nkgb: + { + /* Action is + + -X + 1/n * g^[(2n-1)/2] Lambda (X/Lambda^4)^n box(phi) + + with Lambda^(4n-1)=MPl^(2n-1)*H0^2n + + g was picked like this so that it approx. remains g*Omega_smg0 ~ O(1) for all n + + Since the energy density in KGB must be >0, then -inf0 + The alpha descrition breaks down for phidot=0, so we assume this is never crossed + + This all implies that phidot on the attractor has the same sign as g, and therefore + phi dot always has the same sign as g. + + Rshift0 = (phidot0*J0)/rho_smg0, i.e. fraction of the DE energy-density today in the shift-charge as opposed to the vacuum part + + */ + + double g = pba->parameters_smg[0]; + double n = pba->parameters_smg[1]; + double Rshift0 = pba->parameters_smg[2]; + + double H = sqrt(rho_rad); //NOTE: for low n -> need to solve tracker + Constraint simultaneously. Increasing H (e.g. double H = 10*sqrt(rho_rad);) works for n~0.65. + double H0 = pba->H0; + + double signg = copysign(1.,g); + g=fabs(g); + double Rshiftcomb = (2.-Rshift0)/(2.*(1.-Rshift0)); + + double phidot0=0., phidot_attr_init= 0., charge_init=0., phidot_init=0.; + + phidot0 = signg * sqrt(2./g)*H0 * pow(Rshiftcomb/(3*sqrt(2)),1./(2.*n-1.)); // value of phidot today, if xi0=0, then this is attractor + phidot_attr_init = signg * sqrt(2./g)*H0 * pow(H0/(3.*sqrt(2.)*H),1./(2.*n-1.)); // value of phidot on attractor at initial time + charge_init = phidot0*Rshift0/(2*(1-Rshift0))*pow(a,-3); // implied value of required shift charge initially + + if(fabs(charge_init/phidot_attr_init)<1.){ + /* test if initial shift charge is large c.f. the on-attractor phidot. If no, we are nearly on attractor + at initial time anyway, so just correct the attractor solution slightly + if yes, then we are off-attractor and then we have approximate analytic solution in limit of + n_init >> phidot. For the range n_init ~ phidot just use the solution for large shift charge. + by the late universe, this will be an irrelevant error. */ + + phidot_init = phidot_attr_init + charge_init/(2.*n-1.); + } + else{ + phidot_init = signg * pow( fabs(charge_init) * pow(fabs(phidot_attr_init),2.*n-1.),1./(2.*n)); + } + + pvecback_integration[pba->index_bi_phi_smg] = 0.0; //shift-symmetric, i.e. this is irrelevant + pvecback_integration[pba->index_bi_phi_prime_smg] = a*phidot_init ; + } + break; + + case propto_omega: + pvecback_integration[pba->index_bi_delta_M2_smg] = pba->parameters_2_smg[4]-1.; + break; + + case propto_scale: + pvecback_integration[pba->index_bi_delta_M2_smg] = pba->parameters_2_smg[4]-1.; + break; + + case constant_alphas: + pvecback_integration[pba->index_bi_delta_M2_smg] = pba->parameters_2_smg[4]-1.; + break; + + case eft_alphas_power_law: + pvecback_integration[pba->index_bi_delta_M2_smg] = pba->parameters_2_smg[0]*pow(a, pba->parameters_2_smg[4]); + break; + + case eft_gammas_power_law: + pvecback_integration[pba->index_bi_delta_M2_smg] = pba->parameters_2_smg[0]*pow(a,pba->parameters_2_smg[4]) + pba->parameters_2_smg[3]*pow(a,pba->parameters_2_smg[7]); + break; + + case eft_gammas_exponential: + pvecback_integration[pba->index_bi_delta_M2_smg] = exp(pba->parameters_2_smg[0]*pow(a,pba->parameters_2_smg[4])) + exp(pba->parameters_2_smg[3]*pow(a,pba->parameters_2_smg[7])) -2.; + break; + } + + /* expansion_smg when w is parametrized and rho obtained with integration */ + if (pba->rho_evolution_smg == _TRUE_){ + + //NOTE: moved here from the definition of wowa_w model, to avoid pvecback[pba->index_bg_rho_smg] mix up + if (pba->expansion_model_smg == wowa_w) { + double Omega_const_smg = pba->parameters_smg[0]; + double w0 = pba->parameters_smg[1]; + double wa = pba->parameters_smg[2]; + + double w_smg = w0+(1.-a)*wa; + double wi = w0+wa; + double wf = w0; + double rho_smg_today = Omega_const_smg * pow(pba->H0,2); + double integral_smg = 3.*((1.+ wi)*log(1./a) + (wi-wf)*(a-1.)); + pvecback_integration[pba->index_bi_rho_smg] = rho_smg_today * exp(integral_smg); + } + else { + pvecback_integration[pba->index_bi_rho_smg] = pvecback[pba->index_bg_rho_smg]; + } + } + + return _SUCCESS_; +} + + +/** +* Send _smg information about specific models to the standard output. +* +* @param pba Input: pointer to background structure +* @return the error status +*/ +int gravity_models_print_stdout_smg( + struct background *pba + ){ + + switch (pba->gravity_model_smg) { + + case quintessence_monomial: + printf("Modified gravity: quintessence_monomial with parameters: \n"); + printf("-> N = %g, V0 = %g, V0* = %g, phi_prime_ini = %g, phi_ini = %g \n", + pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[1]*pow(pba->H0/pba->h,2), + pba->parameters_smg[2], pba->parameters_smg[3]); + break; + + case quintessence_tracker: + printf("Modified gravity: quintessence_tracker with parameters: \n"); + printf("-> K_ini = %g, P_ini = %g, V0 = %g, V0* = %g, n = %g, m = %g, lambda=%g \n", + pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[2]*pow(pba->H0/pba->h,2), + pba->parameters_smg[2], pba->parameters_smg[3], pba->parameters_smg[4], pba->parameters_smg[5]); + break; + + case alpha_attractor_canonical: + printf("Modified gravity: alpha_attractor_canonical with parameters: \n"); + printf("-> f = phi/sqrt(alpha) \n"); + printf("-> phi_prime_ini = %g, f_ini = %g, alpha = %g, c = %g, p = %g, n = %g \n", + pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[2], + pba->parameters_smg[3], pba->parameters_smg[4], pba->parameters_smg[5]); + break; + + case galileon: + printf("Modified gravity: covariant Galileon with parameters: \n"); + printf(" -> c_1 = %g, c_2 = %g, c_3 = %g \n c_4 = %g, c_5 = %g, xi_ini = %g (xi_end = %g) \n", + pba->parameters_smg[1],pba->parameters_smg[2],pba->parameters_smg[3],pba->parameters_smg[4],pba->parameters_smg[5],pba->parameters_smg[0], pba->xi_0_smg); + break; + + case brans_dicke: + printf("Modified gravity: Brans Dicke with parameters: \n"); + printf(" -> Lambda = %g, omega_BD = %g, \n phi_ini = %g (phi_0 = %g), phi_prime_ini = %g \n", + pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2],pba->phi_0_smg,pba->parameters_smg[3]); + break; + + case nkgb: + printf("Modified gravity: Kinetic Gravity Braiding with K=-X and G=1/n g^(2n-1)/2 * X^n with parameters: \n"); + printf(" -> g = %g, n = %g, phi_ini = 0.0, smg density fraction from shift charge term = %g. \n", + pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); + break; + + case propto_omega: + printf("Modified gravity: propto_omega with parameters: \n"); + printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], + pba->parameters_2_smg[4]); + break; + + case propto_scale: + printf("Modified gravity: propto_scale with parameters: \n"); + printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], + pba->parameters_2_smg[4]); + break; + + case constant_alphas: + printf("Modified gravity: constant_alphas with parameters: \n"); + printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], + pba->parameters_2_smg[4]); + break; + + case eft_alphas_power_law: + printf("Modified gravity: eft_alphas_power_law with parameters: \n"); + printf(" -> M_*^2_0 = %g, c_K = %g, c_B = %g, c_T = %g, M_*^2_exp = %g, c_K_exp = %g, c_B_exp = %g, c_T_exp = %g\n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], + pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); + break; + + case eft_gammas_power_law: + printf("Modified gravity: eft_gammas_power_law with parameters: \n"); + printf(" -> Omega_0 = %g, gamma_1 = %g, gamma_2 = %g, gamma_3 = %g, Omega_0_exp = %g, gamma_1_exp = %g, gamma_2_exp = %g, gamma_3_exp = %g \n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3],pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); + break; + + case eft_gammas_exponential: + printf("Modified gravity: eft_gammas_exponential with parameters: \n"); + printf(" -> Omega_0 = %g, gamma_1 = %g, gamma_2 = %g, gamma_3 = %g, Omega_0_exp = %g, gamma_1_exp = %g, gamma_2_exp = %g, gamma_3_exp = %g \n", + pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3],pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); + break; + + default: + printf("Modified gravity: output not implemented in gravity_models_print_stdout_smg() \n"); + } + + if(pba->field_evolution_smg==_FALSE_) { + switch (pba->expansion_model_smg) { + + case lcdm: + printf("Parameterized model with LCDM expansion \n"); + printf("-> Omega_smg = %f \n",pba->parameters_smg[0]); + break; + + case wowa: + printf("Parameterized model with CPL expansion \n"); + printf("-> Omega_smg = %f, w0 = %f, wa = %e \n", + pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); + break; + + case wowa_w: + printf("Parameterized model with CPL expansion \n"); + printf("-> Omega_smg = %f, w0 = %f, wa = %e \n", + pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); + break; + + case wede: //ILSWEDE + printf("Parameterized model with variable EoS + Early DE \n"); + printf("-> Omega_smg = %f, w = %f, Omega_e = %f \n",pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); + break; + + default: + printf("Parameterized model: expansion history output not implemented in gravity_models_print_stdout_smg() \n"); + + } + } + + return _SUCCESS_; + +} diff --git a/gravity_smg/include/background_smg.h b/gravity_smg/include/background_smg.h new file mode 100644 index 00000000..70de577b --- /dev/null +++ b/gravity_smg/include/background_smg.h @@ -0,0 +1,82 @@ +#ifndef __BACKGROUND_SMG__ +#define __BACKGROUND_SMG__ + +#include "common.h" +#include "background.h" +#include "rootfinder.h" +#include "gravity_functions_smg.h" +#include "gravity_models_smg.h" + + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + +int background_gravity_functions_smg(struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + double * ptr_rho_tot, + double * ptr_p_tot, + double * ptr_rho_de); + +int background_free_smg(struct background *pba); + +int background_define_indices_bg_smg(struct background *pba, + int * index_bg); + +int background_define_indices_bi_smg(struct background *pba, + int * index_bi); + +int background_solve_smg(struct background *pba, + double * pvecback, + double * pvecback_integration); + +int background_print_stdout_smg(struct background *pba, + double * pvecback, + double * pvecback_integration); + +int background_initial_conditions_smg(struct background *pba, + double a, + double * pvecback, + double * pvecback_integration, + double * ptr_rho_rad); + +int background_store_columntitles_smg(struct background *pba, + char titles[_MAXTITLESTRINGLENGTH_]); + +int background_output_data_smg(struct background *pba, + double * pvecback, + double * dataptr, + int * ptr_storeidx); + +int background_derivs_smg(struct background *pba, + double a, + double * pvecback, + double * y, + double * dy); + +int stability_tests_smg(struct background *pba, + double * pvecback, + double * pvecback_integration); + +int derivatives_alphas_smg(struct background *pba, + double * pvecback, + double * pvecback_derivs, + int i); + +int copy_to_background_table_smg(struct background *pba, + int row, + int column, + double value); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/include/fourier_smg.h b/gravity_smg/include/fourier_smg.h new file mode 100644 index 00000000..c04bc089 --- /dev/null +++ b/gravity_smg/include/fourier_smg.h @@ -0,0 +1,24 @@ +#ifndef __FOURIER_SMG__ +#define __FOURIER_SMG__ + +#include "common.h" +#include "fourier.h" + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + +int fourier_hmcode_Delta_v_0_smg( + struct background *pba, + double z_at_tau, + double * Delta_v_0 +); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/include/gravity_functions_smg.h b/gravity_smg/include/gravity_functions_smg.h new file mode 100644 index 00000000..dadc1e17 --- /dev/null +++ b/gravity_smg/include/gravity_functions_smg.h @@ -0,0 +1,52 @@ +#ifndef __GRAVITY_FUNCTIONS_SMG__ +#define __GRAVITY_FUNCTIONS_SMG__ + +#include "common.h" +#include "background.h" +#include "gravity_models_smg.h" + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + +int gravity_functions_Es_from_Gs_smg(struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf); + +int gravity_functions_Ps_and_Rs_from_Gs_smg(struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf); + +int gravity_functions_building_blocks_from_Gs_smg(struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf); + +int gravity_functions_As_from_alphas_smg(struct background *pba, + double * pvecback, + double * pvecback_derivs); + +int gravity_functions_Bs_from_Gs_smg(struct background *pba, + double a, + double * pvecback_B, + double * pvecback, + struct G_functions_and_derivs *pgf); + +int gravity_functions_Cs_from_Bs_smg(struct background *pba, + double * pvecback, + double * pvecback_derivs); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/include/gravity_models_smg.h b/gravity_smg/include/gravity_models_smg.h new file mode 100644 index 00000000..d8b97751 --- /dev/null +++ b/gravity_smg/include/gravity_models_smg.h @@ -0,0 +1,161 @@ +#ifndef __GRAVITY_MODELS_SMG__ +#define __GRAVITY_MODELS_SMG__ + +#include "common.h" +#include "input.h" +#include "background.h" +#include "rootfinder.h" + +/** + * structure containing the G's and F's functions, for Horndeski + * and beyond, as well as their derivatives w.r.t. the scalar field + * and its canonical kinetic term. + * All of them are inizialized to zero except G4 = 1./2. + * This configuration reproduces General Relativity. + */ +struct G_functions_and_derivs { + /* G2s */ + double G2; + double G2_X; + double G2_XX; + double G2_XXX; + double G2_phi; + double G2_Xphi; + double G2_XXphi; + double G2_phiphi; + double G2_Xphiphi; + + /* G3s */ + double G3_X; + double G3_XX; + double G3_XXX; + double G3_phi; + double G3_Xphi; + double G3_XXphi; + double G3_phiphi; + double G3_Xphiphi; + double G3_phiphiphi; + + /* G4s */ + double G4; + double DG4; + double G4_X; + double G4_XX; + double G4_XXX; + double G4_XXXX; + double G4_phi; + double G4_Xphi; + double G4_XXphi; + double G4_XXXphi; + double G4_phiphi; + double G4_Xphiphi; + double G4_XXphiphi; + double G4_phiphiphi; + double G4_Xphiphiphi; + + /* G5s */ + double G5_X; + double G5_XX; + double G5_XXX; + double G5_XXXX; + double G5_phi; + double G5_Xphi; + double G5_XXphi; + double G5_XXXphi; + double G5_phiphi; + double G5_Xphiphi; + double G5_XXphiphi; + double G5_phiphiphi; + double G5_Xphiphiphi; + + /* F4s */ + double F4; + double F4_X; + double F4_XX; + double F4_XXX; + double F4_phi; + double F4_Xphi; + double F4_XXphi; + double F4_phiphi; + double F4_Xphiphi; + + /* F4s */ + double F5; + double F5_X; + double F5_XX; + double F5_XXX; + double F5_phi; + double F5_Xphi; + double F5_XXphi; + double F5_phiphi; + double F5_Xphiphi; +}; + +/** + * Default values for the G_functions_and_derivs structure. + */ +#define DEFAULT_G_FUNCTIONS_AND_DERIVS { \ + /* G2s */ \ + 0., 0., 0., 0., 0., 0., 0., 0., 0., \ + /* G3s */ \ + 0., 0., 0., 0., 0., 0., 0., 0., 0., \ + /* G4s */ \ + 1./2., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., \ + /* G5s */ \ + 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., \ + /* F4s */ \ + 0., 0., 0., 0., 0., 0., 0., 0., 0., \ + /* F5s */ \ + 0., 0., 0., 0., 0., 0., 0., 0., 0. \ +} + + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + +int gravity_models_gravity_properties_smg(struct file_content * pfc, + struct background *pba, + char string1[_ARGUMENT_LENGTH_MAX_], + int has_tuning_index_smg, + int has_dxdy_guess_smg, + ErrorMsg errmsg); + +int gravity_models_expansion_properties_smg(struct file_content * pfc, + struct background *pba, + char string1[_ARGUMENT_LENGTH_MAX_], + ErrorMsg errmsg); + +int gravity_models_get_Gs_smg(struct background *pba, + double a, + double * pvecback_B, + struct G_functions_and_derivs *g_fun); + +int gravity_models_get_back_par_smg(struct background *pba, + double a, + double * pvecback, + double * pvecback_B); + +int gravity_models_get_alphas_par_smg(struct background *pba, + double a, + double * pvecback, + double * pvecback_B); + +int gravity_models_initial_conditions_smg(struct background *pba, + double a, + double * pvecback, + double * pvecback_integration, + double * ptr_rho_rad); + +int gravity_models_print_stdout_smg(struct background *pba); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/include/hi_class.h b/gravity_smg/include/hi_class.h new file mode 100644 index 00000000..04b34383 --- /dev/null +++ b/gravity_smg/include/hi_class.h @@ -0,0 +1,14 @@ +#ifndef __HI_CLASS__ +#define __HI_CLASS__ + +#define _HI_CLASS_VERSION_ "3.0" + +#include "gravity_functions_smg.h" +#include "gravity_models_smg.h" + +#include "input_smg.h" +#include "background_smg.h" +#include "perturbations_smg.h" +#include "fourier_smg.h" + +#endif diff --git a/gravity_smg/include/input_smg.h b/gravity_smg/include/input_smg.h new file mode 100644 index 00000000..5b4b053c --- /dev/null +++ b/gravity_smg/include/input_smg.h @@ -0,0 +1,34 @@ +#ifndef __INPUT_SMG__ +#define __INPUT_SMG__ + +#include "common.h" +#include "input.h" +#include "gravity_models_smg.h" + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + +int input_warnings_smg(struct perturbations * ppt, + int input_verbose); + +int input_read_parameters_smg(struct file_content * pfc, + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + ErrorMsg errmsg); + +int input_readjust_precision_smg(struct precision * ppr); + +int input_default_params_smg(struct background * pba, + struct perturbations * ppt); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/include/perturbations_smg.h b/gravity_smg/include/perturbations_smg.h new file mode 100644 index 00000000..cfe569a6 --- /dev/null +++ b/gravity_smg/include/perturbations_smg.h @@ -0,0 +1,245 @@ +#ifndef __PERTURBATIONS_SMG__ +#define __PERTURBATIONS_SMG__ + +#include "common.h" +#include "perturbations.h" +#include "rootfinder.h" + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + +int get_gravity_coefficients_smg(struct background * pba, + struct perturbations * ppt, + double * pvecback, + double * delM2, double * M2, double * kin, double * bra, + double * ten, double * run, double * beh, double * res, + double * cD, double * cK, double * cB, double * cH, double * c0, + double * c1, double * c2, double * c3, double * c4, + double * c5, double * c6, double * c7, double * c8, + double * c9, double * c10, double * c11, double * c12, + double * c13, double * c14, double * c15, double * c16, + double * res_p, double * cD_p, double * cB_p, double * cH_p, + double * c9_p, double * c10_p, double * c12_p, double * c13_p); + +int perturbations_tests_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt); + +int perturbations_define_indices_tp_smg(struct perturbations * ppt, + int * index_type); + +int perturbations_define_indices_mt_smg(struct perturbations_workspace * ppw, + int * index_mt); + +int perturbations_define_indices_ap_smg(struct perturbations_workspace * ppw, + int * index_ap); + +int perturbations_define_indices_pt_smg(struct perturbations_workspace * ppw, + struct perturbations_vector * ppv, + int * index_pt); + +int perturbations_prepare_k_output_smg(struct perturbations * ppt); + +int perturbations_print_variables_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double tau, + double * dataptr, + int * ptr_storeidx); + +int perturbations_get_h_prime_ic_from_00_smg(struct background * pba, + struct perturbations_workspace * ppw, + double k, + double eta, + double delta_rho_tot); + +int perturbations_einstein_scalar_smg(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double tau, + double * y); + +int perturbations_einstein_tensor_smg(struct background * pba, + struct perturbations_workspace * ppw, + double k, + double tau, + double * y); + +int perturbations_derivs_smg(struct perturbations * ppt, + struct perturbations_workspace * ppw, + struct perturbations_vector * pv, + double * dy, + double * pvecmetric); + +int perturbations_get_approximation_qs_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double * tau_ini, + double tau_end); + +int perturbations_switch_approximation_qs_smg(struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau); + +int perturbations_qs_functions_at_tau_and_k_qs_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double k, + double tau, + double *mass2, + double *mass2_p, + double *rad2, + double *friction, + double *slope, + short *approx); + +int perturbations_verbose_qs_smg(struct perturbations_workspace * ppw, + double k, + double tau_switch, + int * ap_ini, + int * ap_end); + +int perturbations_vector_init_qs_smg(struct perturbations_workspace * ppw, + struct perturbations_vector * ppv, + int * pa_old); + +int get_x_x_prime_qs_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double * x_qs_smg, + double * x_prime_qs_smg); + +int sample_approximation_qs_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double k, + double tau_ini, + double tau_end, + double * tau_sample, + double * slope_sample, + int * approx_sample, + int *size_sample); + +int shorten_first_qs_smg(double * tau_sample, + double * slope_sample, + int * approx_sample, + int size_sample, + double * tau_array, + double * slope_array, + int * approx_array, + int *size_array, + double tau_end); + +int correct_with_slope_qs_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double tau_ini, + double tau_end, + double * tau_array, + double * slope_array, + int * approx_array, + int size_array); + +int shorten_second_qs_smg(double * tau_array, + int * approx_array, + int size_array, + double * tau_scheme, + int * approx_scheme, + int *size_scheme); + +int fit_real_scheme_qs_smg(double tau_end, + int * approx_scheme, + double * tau_scheme, + int size_scheme, + double * tau_export); + +int perturbations_adiabatic_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double * ptr_eta, + double * ptr_delta_ur, + double * ptr_theta_ur, + double * ptr_shear_ur, + double * ptr_l3_ur, + double * ptr_delta_dr, + double tau, + double k, + double fracnu, + double om, + double rho_r); + +int perturbations_isocurvature_cdm_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fraccdm, + double om); + +int perturbations_isocurvature_b_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracb, + double om); + +int perturbations_isocurvature_urd_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracnu, + double fracg, + double fracb, + double om); + +int perturbations_isocurvature_urv_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracnu, + double fracg, + double fracb, + double om); + +int test_ini_grav_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt); + +int test_ini_extfld_ic_smg(struct precision * ppr, + struct background * pba, + struct perturbations * ppt); + +int calc_extfld_ampl_smg(int n, double kin, double bra, double dbra, + double run, double ten, double DelM2, double Omx, + double wx, double l1, double l2, double l3, + double l4, double l5, double l6,double l7, double l8, + double cs2num, double Dd, double ic_regulator_smg, + double * amplitude); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/gravity_smg/input_smg.c b/gravity_smg/input_smg.c new file mode 100644 index 00000000..439811f9 --- /dev/null +++ b/gravity_smg/input_smg.c @@ -0,0 +1,388 @@ +/** @file input_smg.c Documented input_smg module + * + * Emilio Bellini, Ignacy Sawicki, Miguel Zumalacarregui, 2024 + * + * Additional functions for the input module. + * It contains all the hi_class related functions (_smg) + * that are used by input.c. In this way the main hi_class + * modifications are stored here and the standard Class modules + * remain cleaner. + * + * The following nomenclature has been adopted: + * + * -# all the functions end with "_smg" to make them easily + * recognizable + * -# all the functions starting with "input_" are + * directly called by input.c or the classy wrapper + * -# all the functions that do not start with "input_" + * are only used internally in input_smg.c + */ + +#include "input_smg.h" +#include "background.h" +#include "perturbations.h" + + +/** + * Place to put the warnings related to the hi_class input parameters. + * + * @param ppt Input: pointer to perturbation structure + * @param input_verbose Input: input verbosity + * @return the error status + */ +int input_warnings_smg( + struct perturbations * ppt, + int input_verbose + ) { + + /* Here we put a warning as we want to encourage hi_class users to get + h_prime from the trace of the Einstein ij equation than from the Einstein 00 + equation. This is because the Einstein 00 equation has a gauge dependent + singularity that can be removed using the trace of the Einstein ij equation. + */ + if (input_verbose > 10) { + if (ppt->get_h_from_trace == _FALSE_) { + printf("\n"); + printf("WARNING: you set get_h_from_trace to False.\n"); + printf("While this is still accepted in hi_class, it can cause gauge dependent\n"); + printf("singularities if your model crosses alphaB=2. For this reason in\n"); + printf("future versions of the code this option will be removed and the\n"); + printf("Einstein 00 equation will be used only to set the initial conditions\n"); + printf("for h_prime and as a test to check that it is satisfied during the evolution.\n"); + printf("On the other hand this is a safe choice if you want very large k modes\n"); + printf("(typically k>10 Mpc^-1), where the constraint and the dynamical equations\n"); + printf("disagree by a non negligible amount in some of the models studied.\n"); + printf("\n"); + } + else if (ppt->get_h_from_trace == _TRUE_) { + printf("\n"); + printf("WARNING: you set get_h_from_trace to True.\n"); + printf("While this will be the default option in future versions of hi_class it might\n"); + printf("be safer to set get_h_from_trace to False if you want very large k modes\n"); + printf("(typically k>10 Mpc^-1). In this regime the constraint and the dynamical \n"); + printf("equations disagree by a non negligible amount some of the models studied.\n"); + printf("\n"); + } + } + + return _SUCCESS_; +} + + +/** + * Parse the hi_class parameters. + * + * @param pfc Input: pointer to local structure + * @param ppr Input/Output: pointer to precision structure + * @param pba Input/Output: pointer to background structure + * @param ppt Input/Output: pointer to perturbation structure + * @param errmsg Input: Error message + * @return the error status + */ +int input_read_parameters_smg( + struct file_content * pfc, + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + ErrorMsg errmsg + ) { + + int flag1, flag2, flag3; + double param1, param2; + int param3; + int entries_read; + int int1, n; + char string1[_ARGUMENT_LENGTH_MAX_]; + char string2[_ARGUMENT_LENGTH_MAX_]; + + pba->has_smg = _TRUE_; //default is _FALSE_ + + /** Main flag for the quasi-static approximation scheme */ + + class_call(parser_read_string(pfc,"method_qs_smg",&string1,&flag1,errmsg), + errmsg, + errmsg); + + if (flag1 == _TRUE_) { + + if ((strstr(string1,"automatic") != NULL) || (strstr(string1,"a") != NULL) || (strstr(string1,"A") != NULL)) { + ppt->method_qs_smg = automatic; + } + + if ((strstr(string1,"fully_dynamic") != NULL) || (strstr(string1,"fd") != NULL) || (strstr(string1,"FD") != NULL)) { + ppt->method_qs_smg = fully_dynamic; + } + + if ((strstr(string1,"quasi_static") != NULL) || (strstr(string1,"qs") != NULL) || (strstr(string1,"QS") != NULL)) { + ppt->method_qs_smg = quasi_static; + } + + if ((strstr(string1,"fully_dynamic_debug") != NULL) || (strstr(string1,"fdd") != NULL) || (strstr(string1,"FDD") != NULL)) { + ppt->method_qs_smg = fully_dynamic_debug; + } + + if ((strstr(string1,"quasi_static_debug") != NULL) || (strstr(string1,"qsd") != NULL) || (strstr(string1,"QSD") != NULL)) { + ppt->method_qs_smg = quasi_static_debug; + } + } + + class_call(parser_read_string(pfc, "use_pert_var_deltaphi_smg", &string1, &flag1, errmsg), + errmsg, + errmsg); + + if (flag1 == _TRUE_){ + if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ + ppt->use_pert_var_deltaphi_smg = _TRUE_; + } + else{ + ppt->use_pert_var_deltaphi_smg = _FALSE_; + } + } + + /** Read tuning parameter and guess for the parameter variation range + * These can be adjusted later on a model basis + */ + int has_tuning_index_smg, has_dxdy_guess_smg; + + class_call(parser_read_int(pfc,"tuning_index_smg",¶m3,&flag3,errmsg), + errmsg, + errmsg); + if (flag3 == _TRUE_){ + pba->tuning_index_smg = param3; + } + has_tuning_index_smg = flag3; + + class_call(parser_read_double(pfc,"tuning_dxdy_guess_smg",¶m2,&flag2,errmsg), + errmsg, + errmsg); + if (flag2 == _TRUE_){ + pba->tuning_dxdy_guess_smg = param2; + } + has_dxdy_guess_smg = flag2; + if (has_dxdy_guess_smg == _FALSE_) + pba->tuning_dxdy_guess_smg = 1; + + class_call(parser_read_string(pfc,"gravity_model",&string1,&flag1,errmsg), + errmsg, + errmsg); + class_test(flag1 == _FALSE_, + errmsg, + "gravity_model not read, you should specify one!\n"); + + /** Fix flags for each gravity model */ + class_call(gravity_models_gravity_properties_smg(pfc, pba, string1, has_tuning_index_smg, has_dxdy_guess_smg, errmsg), + errmsg, + errmsg); + // end of loop over models + + if(pba->field_evolution_smg == _TRUE_){ + + //TODO: include generic stuff for covariant theories + + } + else { + //if no self-consistent evolution, need a parameterization for Omega_smg + + class_test(ppt->use_pert_var_deltaphi_smg==_TRUE_, + errmsg, + "It is not consistent to evolve delta_phi_smg and choose parametrized models."); + + class_call(parser_read_string(pfc,"expansion_model",&string1,&flag1,errmsg), + errmsg, + errmsg); + class_test(flag1 == _FALSE_, + errmsg, + "expansion_model not read, you should specify one!\n"); + + /** Fix flags for each expansion model */ + class_call(gravity_models_expansion_properties_smg(pfc, pba, string1, errmsg), + errmsg, + errmsg); + + } + + /** Other generic specifications: + * - whether stability tests are skipped (skip_stability_tests_smg) or softened (cs2_safe_smg) + * - thresholds for approximations in the cubic Friedmann equation + * - add a value to have better behaved perturbations + * - approximations in the perturbations + */ + + class_read_double("cs2_safe_smg",pba->cs2_safe_smg); + class_read_double("D_safe_smg",pba->D_safe_smg); + class_read_double("ct2_safe_smg",pba->ct2_safe_smg); + class_read_double("M2_safe_smg",pba->M2_safe_smg); + + class_read_double("pert_ic_tolerance_smg",ppr->pert_ic_tolerance_smg); + class_read_double("pert_ic_ini_z_ref_smg",ppr->pert_ic_ini_z_ref_smg); + class_read_double("pert_ic_regulator_smg",ppr->pert_ic_regulator_smg); + class_read_double("pert_qs_ic_tolerance_test_smg",ppr->pert_qs_ic_tolerance_test_smg); + + class_read_double("a_min_stability_test_smg",pba->a_min_stability_test_smg); + + class_read_double("kineticity_safe_smg",pba->kineticity_safe_smg); // minimum value of the kineticity (to avoid trouble) + class_read_double("min_a_pert_smg",ppr->min_a_pert_smg); + + class_call(parser_read_string(pfc, + "skip_stability_tests_smg", + &string1, + &flag1, + errmsg), + errmsg, + errmsg); + + if (flag1 == _TRUE_){ + if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ + pba->skip_stability_tests_smg = _TRUE_; + } + else{ + pba->skip_stability_tests_smg = _FALSE_; + } + } + + //IC for perturbations + class_call(parser_read_string(pfc, + "pert_initial_conditions_smg", + &string1, + &flag1, + errmsg), + errmsg, + errmsg); + + if (strcmp(string1,"single_clock") == 0) { + ppt->pert_initial_conditions_smg = single_clock; + } + else if (strcmp(string1,"gravitating_attr") == 0) { + ppt->pert_initial_conditions_smg = gravitating_attr; + } + else if (strcmp(string1,"zero") == 0) { + ppt->pert_initial_conditions_smg = zero; + } + else if (strcmp(string1,"kin_only") == 0) { + ppt->pert_initial_conditions_smg = kin_only; + } + else if (strcmp(string1,"ext_field_attr") == 0 ){//this is the default + ppt->pert_initial_conditions_smg = ext_field_attr; + } + + // else { + // if (ppt->perturbations_verbose > 1) + // printf(" Initial conditions for Modified gravity perturbations not specified, using default \n"); + // } + + /** re-assign shooting parameter (for no-tuning debug mode) */ + if (pba->Omega_smg_debug == 0) + class_read_double("shooting_parameter_smg",pba->parameters_smg[pba->tuning_index_smg]); + + // test that the tuning is correct + class_test(pba->tuning_index_smg >= pba->parameters_size_smg, + errmsg, + "Tuning index tuning_index_smg = %d is larger than the number of entries %d in parameters_smg. Check your .ini file.", + pba->tuning_index_smg,pba->parameters_size_smg); + + //how much info on background.dat? + class_read_double("output_background_smg",pba->output_background_smg); + + return _SUCCESS_; +} + + +/** + * Sometimes hi_class has higher precision parameters. This is where + * it is possible to readjust them. + * + * @param ppr Input/Output: pointer to precision structure + * @return the error status + */ +int input_readjust_precision_smg( + struct precision * ppr + ) { + + /** readjust some precision parameters for modified gravity */ + + //otherwise problems with ISW effect + if (ppr->perturbations_sampling_stepsize > 0.05) + ppr->perturbations_sampling_stepsize=0.05; + + return _SUCCESS_; +} + + +/** + * List of default hi_class parameters. + * + * @param pba Input/Output: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @return the error status + */ +int input_default_params_smg( + struct background * pba, + struct perturbations * ppt + ) { + + /** - background structure */ + + pba->gravity_model_smg = propto_omega; /* gravitational model */ + pba->expansion_model_smg = lcdm; /*expansion model (only for parameterizations*/ + pba->Omega0_smg = 0.; /* Scalar field defaults */ + pba->M2_today_smg = 1.; //*Planck mass today*/ + pba->M2_tuning_smg = _FALSE_; //* Tune Planck mass?*/ + pba->Omega_smg_debug = 0; + pba->field_evolution_smg = _FALSE_; /* does the model require solving the background equations? */ + pba->M2_evolution_smg = _FALSE_; /* does the model require integrating M2 from alpha_M? */ + pba->skip_stability_tests_smg = _FALSE_; /*if you want to skip the stability tests for the perturbations */ + pba->a_min_stability_test_smg = 0; /** < skip stability tests for a < a_min */ + + pba->hubble_evolution = _TRUE_; /** dynamical evolution of Friedmann eq. */ + pba->hubble_friction = 3.; /** friction coefficient in H' equation: H' = ... + H_friction*(H^2 - rho_crit) [NOT ONLY IN SMG!] */ + pba->rho_evolution_smg = _FALSE_; /*does the model require to evolve the background energy density? (only for parameterizations)*/ + pba->wede_Omega_e_regularizer_smg = 1.e-10; /** regularize adding a tiny Omega_e */ + + pba->kineticity_safe_smg = 0; /* value added to the kineticity, useful to cure perturbations at early time in some models */ + pba->cs2_safe_smg = 0; /* threshold to consider the sound speed of scalars negative in the stability check */ + pba->D_safe_smg = 0; /* threshold to consider the kinetic term of scalars negative in the stability check */ + pba->ct2_safe_smg = 0; /* threshold to consider the sound speed of tensors negative in the stability check */ + pba->M2_safe_smg = 0; /* threshold to consider the kinetic term of tensors (M2) negative in the stability check */ + + + /*set stability quantities to nonzero values*/ + pba->min_M2_smg = 1.e10; + pba->min_ct2_smg = 1.e10; + pba->min_D_smg = 1.e10; + pba->min_cs2_smg = 1.e10; + pba->a_min_M2_smg = 0.; + pba->a_min_ct2_smg = 0.; + pba->a_min_D_smg = 0.; + pba->a_min_cs2_smg = 0.; + + pba->min_bra_smg = 4.; + pba->max_bra_smg = 0.; + pba->quintessence_w_safe_smg = 0; + + pba->parameters_smg = NULL; + pba->parameters_size_smg = 0; + pba->tuning_index_smg = 0; + pba->tuning_dxdy_guess_smg = 1; + + pba->output_background_smg = 1; /**< amount of information printed onbackground.dat output */ + + pba->has_smg= _FALSE_; + pba->parameters_tuned_smg = _FALSE_; + pba->shooting_failed = _FALSE_; + pba->is_quintessence_smg = _FALSE_; + pba->attractor_ic_smg = _TRUE_; /* only read for those models in which it is implemented */ + pba->initial_conditions_set_smg = _FALSE_; + + + /** - perturbations structure */ + + ppt->get_h_from_trace=_FALSE_; /* Get h' from Einstein trace rather than 00 (not only _smg!!) */ + + ppt->method_qs_smg=fully_dynamic; + ppt->pert_initial_conditions_smg = ext_field_attr; /* default IC for perturbations in the scalar */ + + ppt->use_pert_var_deltaphi_smg=_FALSE_; + + return _SUCCESS_; + +} diff --git a/gravity_smg/perturbations_smg.c b/gravity_smg/perturbations_smg.c new file mode 100644 index 00000000..ace4030a --- /dev/null +++ b/gravity_smg/perturbations_smg.c @@ -0,0 +1,3363 @@ +/** @file perturbations_smg.c Documented perturbations_smg module + * + * Emilio Bellini, Ignacy Sawicki, Miguel Zumalacarregui, 2024 + * + * Additional functions for the perturbation module. + * It contains all the hi_class related functions (_smg) + * that are used by perturbations.c. In this way the main hi_class + * modifications are stored here and the standard Class modules + * remain cleaner. + * + * The following nomenclature has been adopted: + * + * -# all the functions end with "_smg" to make them easily + * recognizable + * -# all the functions starting with "perturbations_" are + * directly called by perturbations.c or the classy wrapper + * -# all the functions that do not start with "perturbations_" + * are only used internally in perturbations_smg.c + */ + +#include "perturbations_smg.h" + + +/** + * It returns the alphas and the coefficients of the Einstein equations + * that will be used to evaluate the perturbations and their initial + * conditions. This function uses use_pert_var_deltaphi_smg to decide which + * coefficients to output. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param pvecback Input: pointer to background workspace + * @return the error status + */ +int get_gravity_coefficients_smg( + struct background * pba, + struct perturbations * ppt, + double * pvecback, + double * delM2, double * M2, double * kin, double * bra, + double * ten, double * run, double * beh, double * res, + double * cD, double * cK, double * cB, double * cH, double * c0, + double * c1, double * c2, double * c3, double * c4, + double * c5, double * c6, double * c7, double * c8, + double * c9, double * c10, double * c11, double * c12, + double * c13, double * c14, double * c15, double * c16, + double * res_p, double * cD_p, double * cB_p, double * cH_p, + double * c9_p, double * c10_p, double * c12_p, double * c13_p + ){ + + double a = pvecback[pba->index_bg_a]; + double H = pvecback[pba->index_bg_H]; + double Hp = pvecback[pba->index_bg_H_prime]; + + *delM2 = pvecback[pba->index_bg_delta_M2_smg]; + *M2 = pvecback[pba->index_bg_M2_smg]; + *kin = pvecback[pba->index_bg_kineticity_smg]; + *bra = pvecback[pba->index_bg_braiding_smg]; + *ten = pvecback[pba->index_bg_tensor_excess_smg]; + *run = pvecback[pba->index_bg_M2_running_smg]; + *beh = pvecback[pba->index_bg_beyond_horndeski_smg]; + + if (ppt->use_pert_var_deltaphi_smg == _TRUE_) { + *res = 1.; + *cD = pvecback[pba->index_bg_kinetic_D_over_phiphi_smg]; + *cK = pvecback[pba->index_bg_kineticity_over_phiphi_smg]; + *cB = pvecback[pba->index_bg_braiding_over_phi_smg]; + *cH = pvecback[pba->index_bg_beyond_horndeski_over_phi_smg]; + *c0 = pvecback[pba->index_bg_C0_smg]; + *c1 = pvecback[pba->index_bg_C1_smg]; + *c2 = pvecback[pba->index_bg_C2_smg]; + *c3 = pvecback[pba->index_bg_C3_smg]; + *c4 = pvecback[pba->index_bg_C4_smg]; + *c5 = pvecback[pba->index_bg_C5_smg]; + *c6 = pvecback[pba->index_bg_C6_smg]; + *c7 = pvecback[pba->index_bg_C7_smg]; + *c8 = pvecback[pba->index_bg_C8_smg]; + *c9 = pvecback[pba->index_bg_C9_smg]; + *c10 = pvecback[pba->index_bg_C10_smg]; + *c11 = pvecback[pba->index_bg_C11_smg]; + *c12 = pvecback[pba->index_bg_C12_smg]; + *c13 = pvecback[pba->index_bg_C13_smg]; + *c14 = pvecback[pba->index_bg_C14_smg]; + *c15 = pvecback[pba->index_bg_C15_smg]; + *c16 = pvecback[pba->index_bg_C16_smg]; + *res_p = 0.; + *cD_p = pvecback[pba->index_bg_kinetic_D_over_phiphi_prime_smg]; + *cB_p = pvecback[pba->index_bg_braiding_over_phi_prime_smg]; + *cH_p = pvecback[pba->index_bg_beyond_horndeski_over_phi_prime_smg]; + *c9_p = pvecback[pba->index_bg_C9_prime_smg]; + *c10_p = pvecback[pba->index_bg_C10_prime_smg]; + *c12_p = pvecback[pba->index_bg_C12_prime_smg]; + *c13_p = pvecback[pba->index_bg_C13_prime_smg]; + } + else if (ppt->use_pert_var_deltaphi_smg == _FALSE_) { + *res = -a*H; + *cD = pvecback[pba->index_bg_kinetic_D_smg]; + *cK = pvecback[pba->index_bg_kineticity_smg]; + *cB = pvecback[pba->index_bg_braiding_smg]; + *cH = pvecback[pba->index_bg_beyond_horndeski_smg]; + *c0 = pvecback[pba->index_bg_A0_smg]; + *c1 = pvecback[pba->index_bg_A1_smg]; + *c2 = pvecback[pba->index_bg_A2_smg]; + *c3 = pvecback[pba->index_bg_A3_smg]; + *c4 = pvecback[pba->index_bg_A4_smg]; + *c5 = pvecback[pba->index_bg_A5_smg]; + *c6 = pvecback[pba->index_bg_A6_smg]; + *c7 = pvecback[pba->index_bg_A7_smg]; + *c8 = pvecback[pba->index_bg_A8_smg]; + *c9 = pvecback[pba->index_bg_A9_smg]; + *c10 = pvecback[pba->index_bg_A10_smg]; + *c11 = pvecback[pba->index_bg_A11_smg]; + *c12 = pvecback[pba->index_bg_A12_smg]; + *c13 = pvecback[pba->index_bg_A13_smg]; + *c14 = pvecback[pba->index_bg_A14_smg]; + *c15 = pvecback[pba->index_bg_A15_smg]; + *c16 = pvecback[pba->index_bg_A16_smg]; + *res_p = -a*(Hp + a*H); + *cD_p = pvecback[pba->index_bg_kinetic_D_prime_smg]; + *cB_p = pvecback[pba->index_bg_braiding_prime_smg]; + *cH_p = pvecback[pba->index_bg_beyond_horndeski_prime_smg]; + *c9_p = pvecback[pba->index_bg_A9_prime_smg]; + *c10_p = pvecback[pba->index_bg_A10_prime_smg]; + *c12_p = pvecback[pba->index_bg_A12_prime_smg]; + *c13_p = pvecback[pba->index_bg_A13_prime_smg]; + } + else { + printf("It was not possible to determine if oscillations of the background scalar field should be allowed or not.\n"); + return _FAILURE_; + } + + return _SUCCESS_; +} + + +/** + * Perform preliminary tests on gravity (smg) before solving for + * the perturbations. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @return the error status + */ +int perturbations_tests_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt + ) { + + /* Define local variables */ + double k_min = ppt->k[ppt->index_md_scalars][0]; + double k_max = ppt->k[ppt->index_md_scalars][ppt->k_size[ppt->index_md_scalars]-1]; + double a_ini = ppr->a_ini_test_qs_smg; + int first_index_back; + double tau; + short approx_k_min, approx_k_max; + double mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs; + + + class_test(ppt->gauge == newtonian, + ppt->error_message, + "Asked for scalar modified gravity AND Newtonian gauge. Not yet implemented"); + + class_test(ppr->a_ini_test_qs_smg < ppr->a_ini_over_a_today_default, + ppt->error_message, + "The initial time for testing the QS approximation (qs_smg) must be larger than the background initial time (a_ini_test_qs_smg>=a_ini_over_a_today_default)."); + + if ( ppt->pert_initial_conditions_smg == gravitating_attr ) { + class_test((ppt->has_cdi == _TRUE_) || (ppt->has_bi == _TRUE_) || (ppt->has_nid == _TRUE_) || (ppt->has_niv == _TRUE_), + ppt->error_message, + "Isocurvature initial conditions for early modified gravity (Gravitating Attractor) not implemented."); + } + + + if (ppt->method_qs_smg == automatic) { + /* + * At least at some initial time (ppr->a_ini_test_qs_smg) all k modes + * should have the same qs_smg approximation status. This time is by + * default much earlier than the usual times at which perturbations + * start being integrated. This check is done to be sure there is a + * moment in the evolution of the universe when nothing interesting + * is happening. When, for each k mode, Class decides at which time + * has to start the integration of the perturbations, it checks that + * the qs_smg status is the same as the one found here. In case it is + * not, it anticipate the initial time. + */ + + //Get background quantities at a_ini + class_call(background_tau_of_z(pba, + 1./a_ini-1., + &tau), + pba->error_message, + ppt->error_message); + + //Approximation for k_min + perturbations_qs_functions_at_tau_and_k_qs_smg( + ppr, + pba, + ppt, + k_min, + tau, + &mass2_qs, + &mass2_qs_p, + &rad2_qs, + &friction_qs, + &slope_qs, + &approx_k_min); + + //Approximation for k_max + perturbations_qs_functions_at_tau_and_k_qs_smg( + ppr, + pba, + ppt, + k_max, + tau, + &mass2_qs, + &mass2_qs_p, + &rad2_qs, + &friction_qs, + &slope_qs, + &approx_k_max); + + class_test(approx_k_min != approx_k_max, + ppt->error_message, + "\n All the k modes should start evolving with the same type of initial conditions (either fully_dynamic or quasi_static).\n This is not the case at a = %e. Try to decrease a_ini_over_a_today_default.\n", ppr->a_ini_over_a_today_default); + + ppt->initial_approx_qs_smg = approx_k_min; + + } + + if (!((ppt->method_qs_smg == automatic) && (ppt->initial_approx_qs_smg==_TRUE_))) { + /* + * If scalar is dynamical or always quasi-static, test for stability + * at the initial time. We do not need to have this test when we are + * QS because of a trigger (through "automatic" method_qs). In such + * a case we know that the mass is positive. + */ + if( ppt->pert_initial_conditions_smg == gravitating_attr) { + /* + * If we are in gravitating_attr ICs, make sure the standard solution + * is dominant at some early redshift. If it is not, curvature is not + * conserved and we have lost the connection between the amplitude + * from inflation and the initial amplitude supplied to hi_class. + */ + class_call(test_ini_grav_ic_smg(ppr, + pba, + ppt), + ppt->error_message, + ppt->error_message); + } + else if( ppt->pert_initial_conditions_smg == ext_field_attr) { + /* + * If we have the ext_field_attr, test for tachyon instability + * in radiation domination before pertubations initialisation. + * If have it, fail, because we can't set the ICs properly. + */ + class_call(test_ini_extfld_ic_smg(ppr, + pba, + ppt), + ppt->error_message, + ppt->error_message); + } + } + + return _SUCCESS_; +} + + +/** + * Define _smg tp indices. + * + * @param ppt Input/Output: pointer to perturbation structure + * @param index_type Input/Output: counter of how many tp variables are defined + * @return the error status + */ +int perturbations_define_indices_tp_smg( + struct perturbations * ppt, + int * index_type + ) { + + class_define_index(ppt->index_tp_x_smg, ppt->has_source_x_smg, *index_type,1); + class_define_index(ppt->index_tp_x_prime_smg, ppt->has_source_x_prime_smg, *index_type,1); + + return _SUCCESS_; +} + + +/** + * Define _smg mt indices. + * + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param index_mt Input/Output: counter of how many mt variables are defined + * @return the error status + */ +int perturbations_define_indices_mt_smg( + struct perturbations_workspace * ppw, + int * index_mt + ) { + + class_define_index(ppw->index_mt_x_smg,_TRUE_,*index_mt,1); /* x_smg (can be dynamical or not) */ + class_define_index(ppw->index_mt_x_prime_smg,_TRUE_,*index_mt,1); /* x_smg' (can be dynamical or not) */ + class_define_index(ppw->index_mt_x_prime_prime_smg,_TRUE_,*index_mt,1); /* x_smg'' (passed to integrator) */ + class_define_index(ppw->index_mt_rsa_p_smg,_TRUE_,*index_mt,1); /**< correction to the evolution of ur and g species in radiation streaming approximation due to non-negligible pressure at late-times*/ + + return _SUCCESS_; +} + + +/** + * Define _smg ap indices. + * + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param index_ap Input/Output: counter of how many ap variables are defined + * @return the error status + */ +int perturbations_define_indices_ap_smg( + struct perturbations_workspace * ppw, + int * index_ap + ) { + + class_define_index(ppw->index_ap_qs_smg,_TRUE_,*index_ap,1); /* for QS approximation scheme */ + + return _SUCCESS_; +} + + +/** + * Define _smg pt indices. + * + * @param ppw Input: pointer to perturbation workspace structure + * @param ppv Input/Output: pointer to perturbation vector structure + * @param index_pt Input/Output: counter of how many pt variables are defined + * @return the error status + */ +int perturbations_define_indices_pt_smg( + struct perturbations_workspace * ppw, + struct perturbations_vector * ppv, + int * index_pt + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + /* scalar field: integration indices are assigned only if fd (0) */ + if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { + class_define_index(ppv->index_pt_x_smg,_TRUE_,*index_pt,1); /* dynamical scalar field perturbation */ + class_define_index(ppv->index_pt_x_prime_smg,_TRUE_,*index_pt,1); /* dynamical scalar field velocity */ + } + + return _SUCCESS_; +} + + +/** + * Fill array of strings with the name of the 'k_output_values' functions + * (transfer functions as a function of time,for fixed values of k). + * This is the smg part of perturbations_store_columntitles, and it + * is appended to the same string. + * + * @param ppt Input/Output: pointer to the perturbation structure + * @return the error status + */ +int perturbations_prepare_k_output_smg( + struct perturbations * ppt + ) { + + if (ppt->use_pert_var_deltaphi_smg==_TRUE_) { + class_store_columntitle(ppt->scalar_titles, "delta_phi_smg (sync)", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "delta_phi_prime_smg (sync)", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "delta_phi_prime_prime_smg (sync)", _TRUE_); + } + else { + class_store_columntitle(ppt->scalar_titles, "V_x_smg (sync)", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "V_x_prime_smg (sync)", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "V_x_prime_prime_smg (sync)", _TRUE_); + } + + /* Quasi-static functions smg*/ + class_store_columntitle(ppt->scalar_titles, "mass2_qs", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "mass2_qs_p", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "rad2_qs", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "friction_qs", _TRUE_); + class_store_columntitle(ppt->scalar_titles, "slope_qs", _TRUE_); + + return _SUCCESS_; +} + + +/** + * When testing the code or a cosmological model, it can be useful to + * output perturbations at each step of integration (and not just the + * delta's at each source sampling point, which is achieved simply by + * asking for matter transfer functions). Then this function can be + * passed to the generic_evolver routine. + * This is the smg part of perturbations_print_variables, and it + * is appended to the same string. + * + * By default, instead of passing this function to generic_evolver, + * one passes a null pointer. Then this function is just not used. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param k Input: k mode + * @param tau Input: conformal time + * @param dataptr Input/Output: table of data + * @param ptr_storeidx Input/Output: index of perturbations + * @param error_message Output: error message + * + */ +int perturbations_print_variables_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double tau, + double * dataptr, + int * ptr_storeidx + ) { + + int storeidx = *ptr_storeidx; + + double mass2_qs=0., mass2_qs_p=0., rad2_qs=0., friction_qs=0., slope_qs=0.; + short approx; + + double x_smg = ppw->pvecmetric[ppw->index_mt_x_smg]; + double x_prime_smg = ppw->pvecmetric[ppw->index_mt_x_prime_smg]; + double x_prime_prime_smg = ppw->pvecmetric[ppw->index_mt_x_prime_prime_smg]; + + perturbations_qs_functions_at_tau_and_k_qs_smg( + ppr, + pba, + ppt, + k, + tau, + &mass2_qs, + &mass2_qs_p, + &rad2_qs, + &friction_qs, + &slope_qs, + &approx); + + /* Scalar field smg*/ + class_store_double(dataptr, x_smg, _TRUE_, storeidx); + class_store_double(dataptr, x_prime_smg, _TRUE_, storeidx); + class_store_double(dataptr, x_prime_prime_smg, _TRUE_, storeidx); + /* Quasi-static functions smg*/ + class_store_double(dataptr, mass2_qs, _TRUE_, storeidx); + class_store_double(dataptr, mass2_qs_p, _TRUE_, storeidx); + class_store_double(dataptr, rad2_qs, _TRUE_, storeidx); + class_store_double(dataptr, friction_qs, _TRUE_, storeidx); + class_store_double(dataptr, slope_qs, _TRUE_, storeidx); + + *ptr_storeidx = storeidx; + + return _SUCCESS_; +} + + +/** + * Initial conditions for h_prime with the 00 Einstein equation + * when get_h_from_trace == _TRUE_. + * + * @param pba Input: pointer to background structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param k Input: k mode + * @param eta Input: metric perturbation eta + * @param delta_rho_tot Input: total density perturbation + * @return the error status + */ +int perturbations_get_h_prime_ic_from_00_smg( + struct background * pba, + struct perturbations_workspace * ppw, + double k, + double eta, + double delta_rho_tot + ) { + + double a = ppw->pvecback[pba->index_bg_a]; + double H = ppw->pvecback[pba->index_bg_H]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + double rho_tot = ppw->pvecback[pba->index_bg_rho_tot_wo_smg]; + double p_tot = ppw->pvecback[pba->index_bg_p_tot_wo_smg]; + double rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + double p_smg = ppw->pvecback[pba->index_bg_p_smg]; + double kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + double bra = ppw->pvecback[pba->index_bg_braiding_smg]; + /* NOTE: this could be rewritten this equation with A and B variables */ + ppw->pv->y[ppw->pv->index_pt_h_prime_from_trace] = (-4. * pow(H, -1) * pow(k, 2) * eta / a - 6. * pow(H, -1) * pow(M2, -1) * delta_rho_tot * a + 2. * H * (3. * bra + kin) * ppw->pv->y[ppw->pv->index_pt_x_prime_smg] * a + (2. * bra * pow(k, 2) + (-18. + 15. * bra + 2. * kin) * rho_smg * pow(a, 2) + (-18. * DelM2 + 15. * bra * M2 + 2. * kin * M2) * rho_tot * pow(M2, -1) * pow(a, 2) + (-2. * DelM2 + bra * M2) * 9. * pow(M2, -1) * p_tot * pow(a, 2) + 9. * (-2. + bra) * p_smg * pow(a, 2)) * ppw->pv->y[ppw->pv->index_pt_x_smg]) * pow(-2. + bra, -1); + + return _SUCCESS_; +} + + +/** + * Scalar Einstein equations. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param k Input: k mode + * @param tau Input: conformal time + * @param y Input: vector of perturbations (those integrated over time) (already allocated) + * @return the error status + */ +int perturbations_einstein_scalar_smg( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double tau, + double * y + ) { + + double shear_g = 0.; + double shear_idr = 0.; + double k2 = k*k; + double a = ppw->pvecback[pba->index_bg_a]; + double a_prime_over_a = ppw->pvecback[pba->index_bg_H]*a; + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + double H, delM2, M2, kin, bra, ten, run, beh; + double res, cD, cK, cB, cH; + double c0, c1, c2, c3, c4, c5, c6, c7, c8; + double c9, c10, c11, c12, c13, c14, c15, c16; + double c9_p, c10_p, c12_p, c13_p; + double res_p, cD_p, cB_p, cH_p; + + H = ppw->pvecback[pba->index_bg_H]; + + /* Define background coefficients. This function uses + use_pert_var_deltaphi_smg to decide which coefficients to output. + */ + class_call( + get_gravity_coefficients_smg( + pba, ppt, ppw->pvecback, + & delM2, & M2, & kin, & bra, & ten, & run, & beh, & res, + & cD, & cK, & cB, & cH, & c0, & c1, & c2, & c3, + & c4, & c5, & c6, & c7, & c8, & c9, & c10, & c11, + & c12, & c13, & c14, & c15, & c16, & res_p, & cD_p, & cB_p, + & cH_p, & c9_p, & c10_p, & c12_p, & c13_p + ), + ppt->error_message, + ppt->error_message); + + + /* Get eta from the integrator */ + ppw->pvecmetric[ppw->index_mt_eta] = y[ppw->pv->index_pt_eta]; + + /* Get h' from the integrator. This is the right place because in QS + the scalar field depends on h' (only if h' comes from the integrator, + otherwise it has been diagonalised) */ + if (ppt->get_h_from_trace == _TRUE_) { + ppw->pvecmetric[ppw->index_mt_h_prime] = y[ppw->pv->index_pt_h_prime_from_trace]; + } + + /* Get scalar field perturbations */ + if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == _TRUE_) { + /* Get scalar field perturbations from QS expressions. This function + hides a bit of complexity. If (ppt->get_h_from_trace == _TRUE_), + both x and x' depend on h' (simpler non-divergent expressions), otherwise + they have been diagonalised (longer divergent expressions). */ + class_call( + get_x_x_prime_qs_smg( + ppr, pba, ppt, ppw, k, + & ppw->pvecmetric[ppw->index_mt_x_smg], + & ppw->pvecmetric[ppw->index_mt_x_prime_smg] + ), + ppt->error_message, + ppt->error_message); + } + else if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == _FALSE_) { + /* Get scalar field perturbations from the integrator */ + ppw->pvecmetric[ppw->index_mt_x_smg] = y[ppw->pv->index_pt_x_smg]; + ppw->pvecmetric[ppw->index_mt_x_prime_smg] = y[ppw->pv->index_pt_x_prime_smg]; + } + else { + printf("Scalar field equation: qs_smg approximation mode %i not recognized. should be quasi_static or fully_dynamic.\n",ppw->approx[ppw->index_ap_qs_smg]); + return _FAILURE_; + } + + if (ppt->get_h_from_trace == _FALSE_) { + /* It is still possible to get h_prime through th 00 Einstein equation, + but this generates a warning as it will be removed in future versions + of hi_class. This is the right place, since h' depends on x and x'. */ + ppw->pvecmetric[ppw->index_mt_h_prime] = + + 4.*( + + 3./2.*ppw->delta_rho*a/H/M2 + + (1. + beh)*k2*ppw->pvecmetric[ppw->index_mt_eta]/a/H + - c14*res*ppw->pvecmetric[ppw->index_mt_x_prime_smg] + - res/a/H*(c15*k2 + c16*pow(a*H,2))*ppw->pvecmetric[ppw->index_mt_x_smg] + )/(2. - bra); + } + + /* eventually, infer radiation streaming approximation for + gamma and ur (this is exactly the right place to do it + because the result depends on h_prime) */ + + if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { + + /* correction to the evolution of ur and g species in radiation streaming approximation due to non-negligible pressure at late-times */ + ppw->pvecmetric[ppw->index_mt_rsa_p_smg] = + ( + + (cK/M2 - cD)*ppw->delta_p + + 1./9.*( + - H*(c3*k2*pow(a*H,-2) + c2 + 2.*cD)*ppw->pvecmetric[ppw->index_mt_h_prime]/a + + res*pow(H,2)*(c7*k2*pow(a*H,-2) + c6)*ppw->pvecmetric[ppw->index_mt_x_smg] + + res*H*(2.*c5*k2*pow(a*H,-2) + c4)*ppw->pvecmetric[ppw->index_mt_x_prime_smg]/a + ) + + 2./9.*( + + c3*pow(k2,2)*ppw->pvecmetric[ppw->index_mt_alpha]/a/H + + k2*(cD - c1)*ppw->pvecmetric[ppw->index_mt_eta] + )*pow(a,-2) + )/cD; + + class_call(perturbations_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), + ppt->error_message, + ppt->error_message); + } + + if ((pba->has_idr==_TRUE_)&&(ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on)) { + + class_call(perturbations_rsa_idr_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), + ppt->error_message, + ppt->error_message); + + ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*ppw->rsa_theta_idr; + } + + + /* second equation involving total velocity */ + ppw->pvecmetric[ppw->index_mt_eta_prime] = + + 3./2.*ppw->rho_plus_p_theta/k2/M2*pow(a,2) + - res*c0*a*H*ppw->pvecmetric[ppw->index_mt_x_smg] + - 1./2.*res*cB*ppw->pvecmetric[ppw->index_mt_x_prime_smg]; + + + /* Here we are storing deviations from the first (00) einstein equation. + This is to check that h' and the other variables are being properly + integrated and as a friction term for the third einstein equation (h'') */ + ppw->pvecmetric[ppw->index_mt_einstein00] = + + 2.*(1. + beh)*k2*pow(a,-2)*ppw->pvecmetric[ppw->index_mt_eta] + + 3.*ppw->delta_rho/M2 + - H/a*(2. - bra)/2.*ppw->pvecmetric[ppw->index_mt_h_prime] + - 2.*res*pow(H,2)*(c16 + c15*k2*pow(a*H,-2))*ppw->pvecmetric[ppw->index_mt_x_smg] + - 2.*res*c14*H*ppw->pvecmetric[ppw->index_mt_x_prime_smg]/a; + + + /* third equation involving total pressure */ + ppw->pvecmetric[ppw->index_mt_h_prime_prime] = + ( + - 9.*cK*ppw->delta_p*pow(a,2)/M2 + + 2.*c1*k2*ppw->pvecmetric[ppw->index_mt_eta] + + a*H*( + + c2 + c3*k2*pow(a*H,-2) + )*ppw->pvecmetric[ppw->index_mt_h_prime] + - 2.*c3*pow(k2,2)*ppw->pvecmetric[ppw->index_mt_alpha]/a/H + - res*a*H*( + + c4 + 2.*c5*k2*pow(a*H,-2) + )*ppw->pvecmetric[ppw->index_mt_x_prime_smg] + - res*( + + c7*k2 + c6*pow(a*H,2) + )*ppw->pvecmetric[ppw->index_mt_x_smg] + )/cD; + + /* This corrects the third equation using the Einstein 00. It has to be + read as a friction term that vanishes whenever the Hamiltonian constraint + is satisfied. */ + if (ppt->get_h_from_trace == _TRUE_) { + ppw->pvecmetric[ppw->index_mt_h_prime_prime] += + a*a*ppr->einstein00_friction*ppw->pvecmetric[ppw->index_mt_einstein00]; + } + + + /* alpha = (h'+6eta')/2k^2 */ + ppw->pvecmetric[ppw->index_mt_alpha] = + ( + + ppw->pvecmetric[ppw->index_mt_h_prime] + + 6.*ppw->pvecmetric[ppw->index_mt_eta_prime] + )/2./k2; + + + /* eventually, infer first-order tight-coupling approximation for photon + shear, then correct the total shear */ + if (ppw->approx[ppw->index_ap_tca] == (int)tca_on) { + + if (pth->has_idm_g == _TRUE_) { + shear_g = 16./45./(ppw->pvecthermo[pth->index_th_dkappa] + ppw->pvecthermo[pth->index_th_dmu_idm_g])*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + } + else { + shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + } + + ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*shear_g; + + } + + if (pth->has_idm_dr == _TRUE_) { + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on){ + + shear_idr = 0.5*8./15./ppw->pvecthermo[pth->index_th_dmu_idm_dr]/ppt->alpha_idm_dr[0]*(y[ppw->pv->index_pt_theta_idr]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + + ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*shear_idr; + } + } + + + /* fourth equation involving total shear */ + ppw->pvecmetric[ppw->index_mt_alpha_prime] = + - 9./2.*ppw->rho_plus_p_shear/k2/M2*pow(a,2) + + (1. + ten)*ppw->pvecmetric[ppw->index_mt_eta] + - a*H*(2. + run)*ppw->pvecmetric[ppw->index_mt_alpha] + - res*c8*ppw->pvecmetric[ppw->index_mt_x_smg] + + res*cH*ppw->pvecmetric[ppw->index_mt_x_prime_smg]/a/H; + + + /* scalar field equation. This is the right place to evaluate it, since when rsa is on the radiation density gets updated */ + if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == _FALSE_) { + ppw->pvecmetric[ppw->index_mt_x_prime_prime_smg] = + ( + + 9./2.*cB*ppw->delta_p*pow(a,2)/M2/res + - c10*k2*ppw->pvecmetric[ppw->index_mt_eta]/res + - 2./3.*cH*pow(k2,2)*ppw->pvecmetric[ppw->index_mt_alpha]/a/H/res + + a*H/res*( + + 1./3.*cH*k2*pow(a*H,-2) - c9 + )*ppw->pvecmetric[ppw->index_mt_h_prime] + + ( + + c13*k2 + c12*pow(a*H,2) + )*ppw->pvecmetric[ppw->index_mt_x_smg] + + H*a*( + - c3*k2*pow(a*H,-2) + c11 + )*ppw->pvecmetric[ppw->index_mt_x_prime_smg] + )/cD; + + class_test(isnan(ppw->pvecmetric[ppw->index_mt_x_prime_prime_smg]), + ppt->error_message, " Isnan x'' at a =%e !",a); + }//end of fully_dynamic equation + + return _SUCCESS_; +} + + +/** + * Tensor Einstein equations. + * + * @param pba Input: pointer to background structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param k Input: k mode + * @param tau Input: conformal time + * @param y Input: vector of perturbations (those integrated over time) (already allocated) + * @return the error status + */ +int perturbations_einstein_tensor_smg( + struct background * pba, + struct perturbations_workspace * ppw, + double k, + double tau, + double * y + ) { + + /* modified version if gravity is non-standard. Note that no curvature is allowed in this case */ + + double k2 = k*k; + double a_prime_over_a = ppw->pvecback[pba->index_bg_H]*ppw->pvecback[pba->index_bg_a]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double run = ppw->pvecback[pba->index_bg_M2_running_smg]; + double c_t2 = (1. + ppw->pvecback[pba->index_bg_tensor_excess_smg]); + + ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -(2. + run)*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-k2*c_t2*y[ppw->pv->index_pt_gw]+ppw->gw_source/M2; + + return _SUCCESS_; +} + + +/** + * Compute derivative of all perturbations to be integrated for smg. + * + * @param ppt Input: pointer to perturbation structure + * @param ppw Input: pointer to perturbation workspace structure + * @param pv Input: pointer to perturbation vector structure + * @param dy Output: vector of its derivatives (already allocated) + * @param pvecmetric Input: metric quantities + * @return the error status + */ +int perturbations_derivs_smg( + struct perturbations * ppt, + struct perturbations_workspace * ppw, + struct perturbations_vector * pv, + double * dy, + double * pvecmetric + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + class_test(ppt->gauge == newtonian, + ppt->error_message, + "asked for scalar field AND Newtonian gauge. Not yet implemented"); + + //make sure that second order equations are being used + if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { + + /** ---> scalar field velocity */ + dy[pv->index_pt_x_smg] = pvecmetric[ppw->index_mt_x_prime_smg]; + + /** ---> Scalar field acceleration (passes the value obtained in perturbations_einstein) */ + dy[pv->index_pt_x_prime_smg] = pvecmetric[ppw->index_mt_x_prime_prime_smg]; + + } + + return _SUCCESS_; +} + + +/** + * The goal of this function is twofold: + * i) check that at the initial integration time the qs_smg status + * is the same as the one found at ppr->a_ini_test_qs_smg. In case + * it is not, do a loop to anticipate the time for IC. This is to + * avoid possibly important features happening between + * ppr->a_ini_test_qs_smg and the perturbations IC; + * ii) if the method_qs_smg is automatic, determine at which time each + * k mode should switch approximation status. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param k Input: k mode + * @param tau_ini Input/Output: pointer to initial time + * @param tau_end Input: final time (today) + * @return the error status + */ +int perturbations_get_approximation_qs_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double * tau_ini, + double tau_end + ) { + + /* Define local variables */ + double tau_lower; + double tau_upper = *tau_ini; + int is_early_enough = _FALSE_; + short approx; + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + double mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs; + + class_alloc(ppw->tau_scheme_qs_smg,sizeof(qs_array_smg)/sizeof(int)*sizeof(double),ppt->error_message); + + + /* Loop to anticipate the initial integration time if the qs_smg + state is different from ppt->initial_approx_qs_smg. This uses + a bisection method between tau_lower and tau_upper. + */ + if (ppt->method_qs_smg == automatic) { + + /* Get tau_lower */ + class_call(background_tau_of_z(pba, + 1./ppr->a_ini_test_qs_smg-1., + &tau_lower), + pba->error_message, + ppt->error_message); + + /* Main loop for antcipating the integration time */ + while (((tau_upper - tau_lower)/tau_lower > ppr->tol_tau_approx) && is_early_enough == _FALSE_) { + perturbations_qs_functions_at_tau_and_k_qs_smg( + ppr, + pba, + ppt, + k, + tau_upper, + &mass2_qs, + &mass2_qs_p, + &rad2_qs, + &friction_qs, + &slope_qs, + &approx); + if (approx == ppt->initial_approx_qs_smg) { + is_early_enough = _TRUE_; + } + else { + tau_upper = 0.5*(tau_lower + tau_upper); + } + } + *tau_ini = tau_upper; + } + + + /* + * Find the intervals over which the approximation scheme for qs_smg + * is constant. This is the main pipeline to decide the approximation + * to be used at each time, eventually delaying it to take into + * account the oscillations. The steps are the following: + * - sample the proposed approximation and the decaying rate + * of the oscillations over time. To estimate the approximation + * to be used at each time step the mass and radiation triggers + * are taken into account. In addition, everything is set to fully + * dynamic if it happens after z_fd_qs_smg; + * - shorten the scheme to retain only the times where the + * approximation changes; + * - eventually delay the starting of the qs approximation using the + * previously calculated slope parameter to estimate the decaying + * rate of the oscillations; + * - shorten again the scheme to retain only the times where the + * approximation changes; + * - fit the scheme obtained to the implemented one. + */ + if ((ppt->method_qs_smg == automatic) || (ppt->method_qs_smg == fully_dynamic_debug) || (ppt->method_qs_smg == quasi_static_debug)) { + + int size_sample = ppr->n_max_qs_smg; + + double * tau_sample; + double * slope_sample; + int * approx_sample; + + class_alloc(tau_sample,size_sample*sizeof(double),ppt->error_message); + class_alloc(slope_sample,size_sample*sizeof(double),ppt->error_message); + class_alloc(approx_sample,size_sample*sizeof(int),ppt->error_message); + + /** + * Input: background table + * Output: sample of the approx scheme and the decaying rate + * of the oscillations (slope) + **/ + sample_approximation_qs_smg( + ppr, + pba, + ppt, + k, + *tau_ini, + tau_end, + tau_sample, + slope_sample, + approx_sample, + &size_sample + ); + + + double * tau_array; + double * slope_array; + int * approx_array; + int size_array = size_sample; + + class_alloc(tau_array,size_array*sizeof(double),ppt->error_message); + class_alloc(slope_array,size_array*sizeof(double),ppt->error_message); + class_alloc(approx_array,size_array*sizeof(int),ppt->error_message); + + /** + * Input: sample of the time, slope and approximation scheme + * at small time interval + * Output: arrays containing the time, the slope and the approximation + * scheme only when it changes + **/ + shorten_first_qs_smg( + tau_sample, + slope_sample, + approx_sample, + size_sample, + tau_array, + slope_array, + approx_array, + &size_array, + tau_end + ); + + free(tau_sample); + free(slope_sample); + free(approx_sample); + + /** + * Input: arrays with time, slope and approximation schemes + * Output: arrays with time and approximation scheme corrected with the slope + **/ + correct_with_slope_qs_smg( + ppr, + pba, + ppt, + *tau_ini, + tau_end, + tau_array, + slope_array, + approx_array, + size_array + ); + + free(slope_array); + + double * tau_scheme; + int * approx_scheme; + int size_scheme = size_array; + + class_alloc(tau_scheme,size_scheme*sizeof(double),ppt->error_message); + class_alloc(approx_scheme,size_scheme*sizeof(int),ppt->error_message); + + /** + * Input: arrays of time and approximation after correcting with the slope + * (there is the possibility that the same number in approx_array is repeated) + * Output: shortened arrays of time and approximation + **/ + shorten_second_qs_smg( + tau_array, + approx_array, + size_array, + tau_scheme, + approx_scheme, + &size_scheme + ); + + free(tau_array); + free(approx_array); + + /** + * Input: real approx_scheme and tau_scheme + * Output: approx scheme (ppw->tau_scheme_qs_smg) adjusted to fit the implemented one + **/ + fit_real_scheme_qs_smg( + tau_end, + approx_scheme, + tau_scheme, + size_scheme, + ppw->tau_scheme_qs_smg + ); + + free(tau_scheme); + free(approx_scheme); + + // // DEBUG: Initial and final times + // printf("6 - Interval tau = {%.1e, %.1e}\n", *tau_ini, tau_end); + // printf("7 - k mode = {%.1e}\n", k); + + } + + return _SUCCESS_; +} + + +/** + * Given a list of times (precomputed in perturbations_get_approximation_qs_smg), + * switch approximation status. + * + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param tau Input: conformal time + * @return the error status + */ +int perturbations_switch_approximation_qs_smg( + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau + ) { + + /* (d) quasi-static approximation + * the switch times are previously calculated + * Here it assigns the approxiamtion status to the time tau + */ + + if (ppt->method_qs_smg == automatic) { + + if (tau >= ppw->tau_scheme_qs_smg[6]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_6; + } + else if (tau >= ppw->tau_scheme_qs_smg[5]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_5; + } + else if (tau >= ppw->tau_scheme_qs_smg[4]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_4; + } + else if (tau >= ppw->tau_scheme_qs_smg[3]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_3; + } + else if (tau >= ppw->tau_scheme_qs_smg[2]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_2; + } + else if (tau >= ppw->tau_scheme_qs_smg[1]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_1; + } + else if (tau >= ppw->tau_scheme_qs_smg[0]) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; + } + } + else if ((ppt->method_qs_smg == quasi_static) || (ppt->method_qs_smg == quasi_static_debug)) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_1; + } + else if ((ppt->method_qs_smg == fully_dynamic) || (ppt->method_qs_smg == fully_dynamic_debug)) { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; + } + else { + ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; + } + + return _SUCCESS_; +} + + +/** + * Calculate the functions necessary for the qs_smg approximation + * scheme at k and tau. The approximation value returned is + * independent of the history of the perturbations, i.e. corrections + * due to damped oscillations are not taken into account. + * + * This is used both in: + * - the algorithm for the qs_smg scheme + * - as a standalone function to debug + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param k Input: k mode + * @param tau Input: conformal time + * @param mass2 Output: squared mass of the scalar field + * @param mass2_p Output: derivative of the squared mass of the scalar field + * @param rad2 Output: squared "radiation" mass + * @param friction Output: friction term + * @param slope Output: slope of oscillations term + * @param approx Output: approximation status qs_smg (0->FD, 1->QS) + * @return the error status + */ +int perturbations_qs_functions_at_tau_and_k_qs_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double k, + double tau, + double *mass2, + double *mass2_p, + double *rad2, + double *friction, + double *slope, + short *approx + ) { + + /* Definition of local variables */ + double mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs; + double tau_fd; + short proposal; + double * pvecback; + int first_index_back; + + class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); + + class_call(background_at_tau(pba, + tau, + normal_info, + inter_normal, + &first_index_back, + pvecback), + pba->error_message, + ppt->error_message); + + class_call(background_tau_of_z(pba, + ppr->z_fd_qs_smg, + &tau_fd), + pba->error_message, + ppt->error_message); + + double delM2, M2, kin, bra, ten, run, beh; + double res, cD, cK, cB, cH; + double c0, c1, c2, c3, c4, c5, c6, c7, c8; + double c9, c10, c11, c12, c13, c14, c15, c16; + double c9_p, c10_p, c12_p, c13_p; + double res_p, cD_p, cB_p, cH_p; + double x_prime_qs_smg_num, x_prime_qs_smg_den; + double a, H, rho_tot, p_tot, rho_smg, p_smg, rho_r; + double k2 = k*k; + + a = pvecback[pba->index_bg_a]; + H = pvecback[pba->index_bg_H]; + rho_r = pvecback[pba->index_bg_rho_g] + pvecback[pba->index_bg_rho_ur]; + rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; + p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; + rho_smg = pvecback[pba->index_bg_rho_smg]; + p_smg = pvecback[pba->index_bg_p_smg]; + + class_call( + get_gravity_coefficients_smg( + pba, ppt, pvecback, + &delM2, &M2, &kin, &bra, &ten, &run, &beh, &res, + &cD, &cK, &cB, &cH, &c0, &c1, &c2, &c3, + &c4, &c5, &c6, &c7, &c8, &c9, &c10, &c11, + &c12, &c13, &c14, &c15, &c16, &res_p, &cD_p, &cB_p, + &cH_p, &c9_p, &c10_p, &c12_p, &c13_p + ), + ppt->error_message, + ppt->error_message); + + + mass2_qs = -(c12 + c13*k2*pow(a*H,-2))/cD; + + mass2_qs_p = + -( + +c12_p - c12*cD_p/cD + + (c13_p - c13*cD_p/cD + (rho_tot + rho_smg + 3.*p_tot + 3.*p_smg)*c13*a/H)*pow(a*H,-2)*k2 + )/cD; + + rad2_qs = 3.*mass2_qs*pow(H,4)*pow(rho_r,-2)*pow(a*H,2)/k2; + + friction_qs = -(c11 - c3*k2*pow(a*H,-2))/cD; + + slope_qs = -1./4.*(1. - 2.*friction_qs + 3.*(p_tot + p_smg)/(rho_tot + rho_smg) - mass2_qs_p/mass2_qs/a/H); + + // DEBUG: To debug uncomment this and define a convenient function of time for each of these quantities + // double x = a; + // mass2_qs = 1.5 + cos(10*_PI_*x); + // rad2_qs = 1.; + // friction_qs = 1.; + // slope_qs = 1.; + + *mass2 = mass2_qs; + *mass2_p = mass2_qs_p; + *rad2 = rad2_qs; + *friction = friction_qs; + *slope = slope_qs; + + //Approximation + if ((mass2_qs > pow(ppr->trigger_mass_qs_smg,2)) && (rad2_qs > pow(ppr->trigger_rad_qs_smg,2))) { + proposal = _TRUE_; + } + else { + proposal = _FALSE_; + } + if (tau <= tau_fd) { + *approx = proposal; + } + else { + *approx = _FALSE_; + } + + free(pvecback); + + return _SUCCESS_; + +} + + +/** + * Verbose messages for the qs_smg approximation scheme. + * + * @param ppw Input: pointer to perturbation workspace structure + * @param k Input: k mode + * @param tau_switch Input: time at which qs_smg approximation is changed + * @param ap_ini Input: pointer to the initial qs_smg state + * @param ap_end Input: pointer to the final qs_smg state + * @return the error status + */ +int perturbations_verbose_qs_smg( + struct perturbations_workspace * ppw, + double k, + double tau_switch, + int * ap_ini, + int * ap_end + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + if ((qs_array_smg[ap_ini[ppw->index_ap_qs_smg]]==1) && + (qs_array_smg[ap_end[ppw->index_ap_qs_smg]]==0)) { + fprintf(stdout,"Mode k=%e: will switch off the quasi_static approximation smg (1 -> 0) at tau=%e\n",k,tau_switch); + } + if ((qs_array_smg[ap_ini[ppw->index_ap_qs_smg]]==0) && + (qs_array_smg[ap_end[ppw->index_ap_qs_smg]]==1)) { + fprintf(stdout,"Mode k=%e: will switch on the quasi_static approximation smg (0 -> 1) at tau=%e\n",k,tau_switch); + } + + return _SUCCESS_; +} + + +/** + * Assign the proper initial conditions when switching from + * quasi_static to fully_dynamic in smg_qs. + * + * @param ppw Input: pointer to perturbation workspace structure + * @param ppv Input/Output: pointer to perturbation vector structure + * @param pa_old Input: previous approximation status + * @return the error status + */ +int perturbations_vector_init_qs_smg( + struct perturbations_workspace * ppw, + struct perturbations_vector * ppv, + int * pa_old + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + //pass the values only if the order is correct + + if ((qs_array_smg[pa_old[ppw->index_ap_qs_smg]] == _TRUE_) && (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == _FALSE_)) { + ppv->y[ppv->index_pt_x_smg] = ppw->pvecmetric[ppw->index_mt_x_smg]; + ppv->y[ppv->index_pt_x_prime_smg] = ppw->pvecmetric[ppw->index_mt_x_prime_smg]; + } + else if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == _FALSE_) { + ppv->y[ppv->index_pt_x_smg] = ppw->pv->y[ppw->pv->index_pt_x_smg]; + ppv->y[ppv->index_pt_x_prime_smg] = ppw->pv->y[ppw->pv->index_pt_x_prime_smg]; + } + + return _SUCCESS_; +} + + +/** + * Return the scalar field perturbation and its derivative + * in the QS regime. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input: pointer to perturbation workspace structure + * @param k Input: k mode + * @param x_qs_smg Output: quasi static scalar field + * @param x_prime_qs_smg Output: quasi static scalar field derivative + * @return the error status + */ +int get_x_x_prime_qs_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double k, + double * x_qs_smg, + double * x_prime_qs_smg + ){ + + double k2 = k*k; + double rho_r, p_tot, p_smg; + double a, H, delM2, M2, kin, bra, ten, run, beh; + double res, cD, cK, cB, cH; + double c0, c1, c2, c3, c4, c5, c6, c7, c8; + double c9, c10, c11, c12, c13, c14, c15, c16; + double c9_p, c10_p, c12_p, c13_p; + double res_p, cD_p, cB_p, cH_p; + double x_prime_qs_smg_num, x_prime_qs_smg_den; + + a = ppw->pvecback[pba->index_bg_a]; + H = ppw->pvecback[pba->index_bg_H]; + rho_r = ppw->pvecback[pba->index_bg_rho_g] + ppw->pvecback[pba->index_bg_rho_ur]; + p_tot = ppw->pvecback[pba->index_bg_p_tot_wo_smg]; + p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + class_call( + get_gravity_coefficients_smg( + pba, ppt, ppw->pvecback, + &delM2, &M2, &kin, &bra, &ten, &run, &beh, &res, + &cD, &cK, &cB, &cH, &c0, &c1, &c2, &c3, + &c4, &c5, &c6, &c7, &c8, &c9, &c10, &c11, + &c12, &c13, &c14, &c15, &c16, &res_p, &cD_p, &cB_p, + &cH_p, &c9_p, &c10_p, &c12_p, &c13_p + ), + ppt->error_message, + ppt->error_message); + + /* This is the expression for the scalar field in the quasi static approximation */ + if (ppt->get_h_from_trace == _TRUE_) { + /* Scalar field in QS with h' */ + *x_qs_smg = + +1./res*( + -9./2.*cB*pow(a,2)*ppw->delta_p/M2 + + c10*k2*ppw->pvecmetric[ppw->index_mt_eta] + + (c9*pow(a*H,2) - 1./3.*cH*k2)*ppw->pvecmetric[ppw->index_mt_h_prime]/a/H + + 2./3.*cH*pow(k2,2)*ppw->pvecmetric[ppw->index_mt_alpha]/a/H + )/(c13*k2 + c12*pow(a*H,2)); + } + else { + /* Scalar field in QS without h' */ + *x_qs_smg = + 1./res*( + +k2*( + +4.*(1. + beh)*cH*k2 + - 3.*pow(a*H,2)*((2. - bra)*c10 + 4.*(1. + beh)*c9) + )*ppw->pvecmetric[ppw->index_mt_eta] + - 2.*(2. - bra)*cH*H*pow(k2,2)*a*ppw->pvecmetric[ppw->index_mt_alpha] + + 6.*( + +(cH*k2 - 3.*c9*pow(a*H,2))*ppw->delta_rho + + 9./4.*cB*(2. - bra)*pow(a*H,2)*ppw->delta_p + )*pow(a,2)/M2 + )/( + +4.*c15*cH*pow(k2,2) + - k2*pow(a*H,2)*(3.*c13*(2. - bra) + 12.*c15*c9 - 4.*c16*cH) + - 3.*pow(a*H,4)*(c12*(2. - bra) + 4.*c16*c9) + ); + } + + /* scalar field derivative equation + * In order to estimate it we followed this procedure: + * - we calculated analytically the time derivative of the x_smg equation + * - we used delta_p' = delta_rho_r'/3 (radiation is the only component that contributes to delta_p') + * - we used the conservation equation for radiation to get rid of delta_rho_r' + * - we used the Einstein equations to get rid of eta', h'', alpha' + * The result is approximated when rsa is on since the velocity of radiation gets updated only after + * this call in perturbations_einstein */ + + if (ppt->get_h_from_trace == _TRUE_) { + /* Numerator of the scalar field derivative in QS with h' */ + x_prime_qs_smg_num = + +3.*( + +3.*(2.*c9*cK - cB*cD*(2. + run) - cD*(cB*res_p/res - cB_p)/a/H) + - 2.*cH*cK*pow(a*H,-2)*k2 + )*ppw->delta_rho_r*a/H/M2 + + 9.*( + +2.*cD*(cH*res_p/res - cH_p)/a/H + 6.*c3*c9 + - cD*(cB + c10) + 3.*cD*cH*(1. + 2./3.*run - (p_tot + p_smg)*pow(H,-2)) + - 2.*c3*cH*k2*pow(a*H,-2) + )*pow(H,-2)*ppw->rho_plus_p_theta_r/M2 + + 18.*cD*cH*pow(a*H,-2)*k2*ppw->rho_plus_p_shear*a/H/M2 + + 4.*k2*pow(a*H,-2)*( + +cH*(c1 - cD - ten*cD)*k2*pow(a*H,-2) + - 3./2.*(2.*c1*c9 - (c10*cD*res_p/res - cD*c10_p)/a/H) + )*a*H*ppw->pvecmetric[ppw->index_mt_eta] + + 3.*( + +2.*cD*(c9*res_p/res - c9_p)/a/H - 2.*c2*c9 + c9*cD + - cD*(2.*cB*rho_r/M2 - 3.*c9*(p_tot + p_smg))*pow(H,-2) + + 2./3.*cH*(c2 + 2.*cD + run*cD)*k2*pow(a*H,-2) + )*ppw->pvecmetric[ppw->index_mt_h_prime] + + 6.*a*H*res*( + +c6*c9 + cD*(c12_p/a/H - c12 - 3.*c12*(p_tot + p_smg)*pow(H,-2)) + - ( + +cD*(2.*c0*cH*res_p/res - c13_p - 2.*c0*cH_p)/a/H + + c9*(6.*c0*c3 - c7) - c0*c10*cD + c6*cH/3. + + 3.*c0*cD*cH*(1. + 2./3.*run - (p_tot + p_smg)*pow(H,-2)) + )*k2*pow(a*H,-2) + + 1./3.*cH*(6.*c0*c3 - c7 + 2.*c8*cD)*pow(k2,2)*pow(a*H,-4) + )*(*x_qs_smg); + + /* Denominator of the scalar field derivative in QS with h' */ + x_prime_qs_smg_den = + -6.*res*( + +c4*c9 + c12*cD + - k2*( + + 6.*cB*cD*(cH*res_p/res - cH_p)/a/H + - 12.*c9*(c5 - 3./2.*c3*cB) + - 3.*cD*(c10*cB + 2.*c13) + + 2.*c4*cH + + 3.*cB*cD*cH*(3. + 2.*run) + - 9.*cB*cD*cH*(p_tot + p_smg)*pow(H,-2) + )/6.*pow(a*H,-2) + - cH*pow(k2,2)*(2.*c5 - 3.*c3*cB + 2.*cD*cH)/3.*pow(a*H,-4) + ); + } + else { + /* Numerator of the scalar field derivative in QS without h' */ + x_prime_qs_smg_num = + - 18.*(2. - bra)*cD*cH*pow(H,-3)*k2*ppw->rho_plus_p_shear/a/M2 + + (2. - bra)*( + +6.*cH*cK*pow(H,-3)*k2/a + + 9.*( + + cD*(cB*res_p - cB_p*res) + + ((2. + run)*cB*cD - 2.*c9*cK)*H*res*a + )*pow(H,-2)/res + )*ppw->delta_rho_r/M2 + + 9.*(2. - bra)*( + + 2.*c3*cH*pow(H,-4)*pow(a,-2)*k2 + - ( + + 2.*cD*H*(cH*res_p - cH_p*res)/a/res + + (6.*c3*c9 - c10*cD - cB*cD + 3.*cD*cH + 2.*run*cD*cH)*pow(H,2) + - 3.*cD*cH*(p_tot + p_smg) + )*pow(H,-4) + )/M2*ppw->rho_plus_p_theta_r + - ( + + 12.*(c2 + 2.*cD + run*cD)*cH*pow(H,-3)*k2/a + + 18.*( + + 2.*cD*H*(c9*res_p/res - c9_p) + - 2.*cB*cD*rho_r*a/M2 + + c9*(cD - 2.*c2)*pow(H,2)*a + + 3.*c9*cD*(p_tot + p_smg)*a + )*pow(H,-3) + )/M2*ppw->delta_rho + + ( + + 4.*cH*( + + (2. - bra)*(cD + ten*cD - c1) + - 2.*(c2 + 2.*cD + run*cD)*(1. + beh) + )*pow(k2,2)*pow(a*H,-3) + - 6.*( + + (2. - bra)*(cD*(c10*res_p/res - c10_p)/a/H - 2.*c1*c9) + + 2.*(1. + beh)*( + + 2.*cD*(c9*res_p/res - c9_p)/a/H + + c9*(cD - 2.*c2) + - 2.*cB*cD*rho_r*pow(H,-2)/M2 + + 3.*c9*cD*(p_tot + p_smg)*pow(H,-2) + ) + )*k2/a/H + )*ppw->pvecmetric[ppw->index_mt_eta] + + ( + + ( + - (2. - bra)*(6.*c0*c3 - c7 + 2.*c8*cD) + + 4.*c15*(c2 + 2.*cD + run*cD) + )*2.*cH*pow(k2,2)*res*pow(a*H,-3) + + 6.*( + + cD*H*( + + 4.*c16*c9*res_p/res + - c12_p*(2. - bra) + - 4.*c16*c9_p + )/a + - 4.*c16*cB*cD*rho_r/M2 + - 4.*c16*c2*c9*pow(H,2) + - c6*c9*(2. - bra)*pow(H,2) + + cD*((2. - bra)*c12 + 2.*c16*c9)*(pow(H,2) + 3.*(p_tot + p_smg)) + )*res*a/H + + 2.*( + + 12.*cD*c15*(c9*res_p/res - c9_p)/H/a + - 12.*c15*cB*cD*rho_r/M2*pow(H,-2) + + 2.*( + + 3.*c15*c9*(cD - 2.*c2) + + 2.*cH*c16*(c2 + 2.*cD + run*cD) + ) + + (2. - bra)*( + - 3.*cD*(2.*c0*cH_p - 2.*c0*cH*res_p/res + c13_p)/a/H + + 18.*c0*c3*c9 - 3.*c7*c9 + - 3.*c0*c10*cD + c6*cH + + 6.*(3./2. + run)*c0*cD*cH + ) + - 9.*cD*((2. - bra)*c0*cH - 2.*c15*c9)*(p_tot + p_smg)*pow(H,-2) + )*res*k2/a/H + )*(*x_qs_smg); + + /* Denominator of the scalar field derivative in QS without h' */ + x_prime_qs_smg_den = + - 2.*cH*res*(2. - bra)*(2.*c5 - 3.*c3*cB + 2.*cD*cH)*pow(a*H,-4)*pow(k2,2) + + a*( + - 6.*cB*cD*(2. - bra)*(cH*res_p - cH_p*res)*H + + (2. - bra)*( + + 12.*c5*c9 - 18.*c3*c9*cB + + 6.*c13*cD + 3.*c10*cB*cD - 2.*c4*cH + - 3.*(3. + 2.*run)*cB*cD*cH + + 9.*cB*cD*cH*(p_tot + p_smg)*pow(H,-2) + )*res*a*pow(H,2) + - 8.*(c2 + 2.*cD + run*cD)*c14*cH*pow(H,2)*res*a + )*k2*pow(a*H,-4) + + 6.*( + - 4.*c14*cD*H*(c9*res_p - c9_p*res) + + 4.*c14*(cB*cD*rho_r/M2 + c2*c9*pow(H,2))*res*a + + (2. - bra)*(c4*c9 + c12*cD)*pow(H,2)*res*a + - 2.*c14*c9*cD*(pow(H,2) + 3.*(p_tot + p_smg))*res*a + )*pow(H,-2)/a; + } + + *x_prime_qs_smg = x_prime_qs_smg_num/x_prime_qs_smg_den; + + return _SUCCESS_; +} + + +/** + * Sample the approximation status over the evolution of the perturbations. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param k Input: k mode + * @param tau_ini Input: initial conformal time + * @param tau_end Input: final conformal time + * @param tau_sample Output: sample of conformal time + * @param slope_sample Output: sample of the slope of the oscillations + * @param approx_sample Output: sample of the approximation status qs_smg (0->FD, 1->QS) + * @param size_sample Output: size of the sample + * @return the error status + */ +int sample_approximation_qs_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double k, + double tau_ini, + double tau_end, + double * tau_sample, + double * slope_sample, + int * approx_sample, + int *size_sample + ) { + + /* Definition of local variables */ + double mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs; + short approx; + double tau = tau_ini; + double delta_tau = (tau_end - tau_ini)/ppr->n_max_qs_smg; + int count = 0; + + + /* Scan the time evolution and build several arrays containing + * interesting quantities for the quasi-static approximation */ + while (tau < tau_end) { + + perturbations_qs_functions_at_tau_and_k_qs_smg( + ppr, + pba, + ppt, + k, + tau, + &mass2_qs, + &mass2_qs_p, + &rad2_qs, + &friction_qs, + &slope_qs, + &approx); + + tau_sample[count] = tau; + slope_sample[count] = slope_qs; + approx_sample[count] = approx; + + delta_tau = fabs(2.*mass2_qs/mass2_qs_p)/sqrt(ppr->n_min_qs_smg*ppr->n_max_qs_smg); + delta_tau = MIN(delta_tau, (tau_end - tau_ini)/ppr->n_min_qs_smg); + delta_tau = MAX(delta_tau, (tau_end - tau_ini)/ppr->n_max_qs_smg); + + tau += delta_tau; + count += 1; + + } + + *size_sample = count; + + return _SUCCESS_; + +} + + +/** + * Shorten the smg_qs approximation scheme to keep only + * one element per approximation switch. + * + * @param tau_sample Input: sample of conformal time + * @param slope_sample Input: sample of the slope of the oscillations + * @param approx_sample Input: sample of the approximation status qs_smg (0->FD, 1->QS) + * @param size_sample Input: size of the sample + * @param tau_array Output: shortened array of conformal time + * @param slope_array Output: shortened array of the slope of the oscillations + * @param approx_array Output: shortened array of the approximation status qs_smg (0->FD, 1->QS) + * @param size_array Output: size of the shortened array + * @return the error status + */ +int shorten_first_qs_smg( + double * tau_sample, + double * slope_sample, + int * approx_sample, + int size_sample, + double * tau_array, + double * slope_array, + int * approx_array, + int *size_array, + double tau_end + ) { + + int i, j, count = 0; + int last_switch = 0; + int this_switch = 0; + double slope_weighted; + + tau_array[0] = tau_sample[0]; + approx_array[0] = approx_sample[0]; + + for (i = 1; i < size_sample; i++) { + if (approx_sample[i] != approx_array[count]) { + + count += 1; + // Shorten approximation scheme + approx_array[count] = approx_sample[i]; + + // Shorten time + if (approx_array[count-1] < approx_array[count]) { + this_switch = i; + } + else { + this_switch = i-1; + } + tau_array[count] = tau_sample[this_switch]; + + // Shorten slope + slope_weighted = 0.; + for (j = last_switch; j < this_switch; j++) { + slope_weighted += slope_sample[j]*(tau_sample[j+1] - tau_sample[j]); + } + slope_array[count -1] = slope_weighted/(tau_sample[this_switch] - tau_sample[last_switch]); + last_switch = this_switch; + } + } + + // Shorten slope last element + slope_weighted = 0.; + for (i = last_switch; i < size_sample-1; i++) { + slope_weighted += slope_sample[i]*(tau_sample[i+1] - tau_sample[i]); + } + slope_array[count] = (slope_weighted + slope_sample[size_sample-1]*(tau_end - tau_sample[size_sample-1]))/(tau_end - tau_sample[last_switch]); + + *size_array = count + 1; + + return _SUCCESS_; + +} + + +/** + * For each time at which the qs_smg approximation scheme should change + * FD->QS, delay the transition to take into account the damping of the + * oscillations. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param tau_ini Input: initial conformal time + * @param tau_end Input: final conformal time + * @param tau_array Input/Output: array of conformal time + * @param slope_array Input: array of the slope of the oscillations + * @param approx_array Input/Output: array of the approximation status qs_smg (0->FD, 1->QS) + * @param size_array Input/Output: size of the array + * @return the error status + */ +int correct_with_slope_qs_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + double tau_ini, + double tau_end, + double * tau_array, + double * slope_array, + int * approx_array, + int size_array + ) { + + double * pvecback; + int first_index_back; + int i, j, count; + for (i = 1; i < size_array; i++) { + if ((approx_array[i-1] == 0) && (approx_array[i] == 1)) { + + // Routine to calculate the time interval necessary to relax the oscillations + class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); + class_call(background_at_tau(pba, + tau_array[i], + short_info, + inter_normal, + &first_index_back, + pvecback), + pba->error_message, + ppt->error_message); + + double a_final = pvecback[pba->index_bg_a] * pow(ppr->eps_s_qs_smg, -1./slope_array[i]); + double tau_final; + + class_call(background_tau_of_z(pba, + 1./a_final-1., + &tau_final), + pba->error_message, + ppt->error_message); + + double delta_tau = tau_final - tau_array[i]; + + // Adjust time and approx to take into account the oscillations + double next_tau; + if (i+1FD, 1->QS) + * @param size_array Input: size of the array + * @param tau_scheme Output: shortened scheme of conformal time + * @param approx_scheme Output: shortened scheme of the approximation status qs_smg (0->FD, 1->QS) + * @param size_scheme Output: size of the shortened scheme + * @return the error status + */ +int shorten_second_qs_smg( + double * tau_array, + int * approx_array, + int size_array, + double * tau_scheme, + int * approx_scheme, + int *size_scheme + ) { + + tau_scheme[0] = tau_array[0]; + approx_scheme[0] = approx_array[0]; + int i, j = 0; + + for (i = 0; i < size_array; i++) { + if (approx_array[i] != approx_scheme[j]) { + j += 1; + approx_scheme[j] = approx_array[i]; + tau_scheme[j] = tau_array[i]; + } + } + + *size_scheme = j + 1; + + return _SUCCESS_; + +} + + +/** + * Fit the qs_smg scheme obtained with the implemented one. + * + * @param tau_end Input: final conformal time + * @param approx_scheme Input: scheme of the approximation status qs_smg (0->FD, 1->QS) + * @param tau_scheme Input: scheme of conformal time + * @param size_scheme Input: size of the scheme + * @param tau_scheme Output: times at which qs_smg changes status + * @return the error status + */ +int fit_real_scheme_qs_smg( + double tau_end, + int * approx_scheme, + double * tau_scheme, + int size_scheme, + double * tau_export + ) { + + /* Definition of local variables */ + int implemented_scheme[] = _VALUES_QS_SMG_FLAGS_; + int size_implemented_scheme = sizeof(implemented_scheme)/sizeof(int); + + int i, j; + int start_position = 0; + short scheme_fits = _FALSE_; + + // // DEBUG: print the implemented scheme + // int count; + // printf("1 - Implemented scheme = {"); + // for (count = 0; count < size_implemented_scheme; count++) { + // printf("%d", implemented_scheme[count]); + // if (count < size_implemented_scheme - 1) { + // printf(", "); + // } + // } + // printf("}\n"); + // // DEBUG: print the real scheme + // printf("2 - Real scheme = {"); + // for (count = 0; count < size_scheme; count++) { + // printf("%d", approx_scheme[count]); + // if (count < size_scheme - 1) { + // printf(", "); + // } + // } + // printf("}\n"); + + while (scheme_fits == _FALSE_) { + + /* Check if the real approximation scheme fits the implemented one */ + for (i = 0; i < size_implemented_scheme - size_scheme + 1; i++) { + j = 0; + while (j < size_scheme - 1) { + if (approx_scheme[j] == implemented_scheme[i + j]) { + j += 1; + } + else { + break; + } + } + if ((j == size_scheme - 1) && (approx_scheme[j] == implemented_scheme[i + j])) { + start_position = i; + scheme_fits = _TRUE_; + break; + } + } + + /* Shorten the real approximation scheme */ + if (scheme_fits == _FALSE_) { + if ((approx_scheme[size_scheme - 2]==0) && (approx_scheme[size_scheme - 1]==1)) { + size_scheme += -1; + } + else if ((approx_scheme[size_scheme - 3]==0) && (approx_scheme[size_scheme - 2]==1) && (approx_scheme[size_scheme - 1]==0)) { + size_scheme += -2; + } + } + } + + /* Generate the vector of times at which the approximation switches */ + for (i = 0; i < size_implemented_scheme; i++) { + tau_export[i] = -1.; + } + + for (i = 0; i < size_scheme; i++) { + tau_export[start_position + i] = tau_scheme[i]; + } + + for (i = start_position + size_scheme; i < size_implemented_scheme; i++) { + tau_export[i] = tau_end + 1.; // The +1 is here to make the final elements larger than everything else + } + + // // DEBUG: print the fitted scheme + // printf("3 - Fitted scheme = {"); + // for (count = 0; count < size_scheme; count++) { + // printf("%d", approx_scheme[count]); + // if (count < size_scheme - 1) { + // printf(", "); + // } + // } + // printf("}\n"); + // // DEBUG: print the real tau switches + // printf("4 - Real tau = {"); + // for (count = 0; count < size_scheme; count++) { + // printf("%.1e", tau_scheme[count]); + // if (count < size_scheme - 1) { + // printf(", "); + // } + // } + // printf("}\n"); + // // DEBUG: print the tau switches after the fitting + // printf("5 - Fitted tau = {"); + // for (count = 0; count < size_implemented_scheme; count++) { + // printf("%.1e", tau_export[count]); + // if (count < size_implemented_scheme - 1) { + // printf(", "); + // } + // } + // printf("}\n"); + + return _SUCCESS_; + +} + + +/** + * Adiabatic initial conditions. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param ptr_eta Input: curvature eta + * @param ptr_delta_ur Input: density neutrinos + * @param ptr_theta_ur Input: velocity neutrinos + * @param ptr_shear_ur Input: shear neutrinos + * @param ptr_l3_ur Input: l3 massless neutrinos + * @param ptr_delta_dr Input: density decaying radiation + * @param tau Input: conformal time + * @param k Input: k mode + * @param fracnu Input: neutrino to radiation fraction + * @param om Input: matter to radiation fraction + * @param rho_r Input: background radiation density + * @return the error status + */ +int perturbations_adiabatic_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double * ptr_eta, + double * ptr_delta_ur, + double * ptr_theta_ur, + double * ptr_shear_ur, + double * ptr_l3_ur, + double * ptr_delta_dr, + double tau, + double k, + double fracnu, + double om, + double rho_r + ) { + + double eta = *ptr_eta; + double delta_ur = *ptr_delta_ur; + double theta_ur = *ptr_theta_ur; + double shear_ur = *ptr_shear_ur; + double l3_ur = *ptr_l3_ur; + double delta_dr = *ptr_delta_dr; + + /* (k tau)^2, (k tau)^3 */ + double ktau_two=k*k*tau*tau; + double ktau_three=k*tau*ktau_two; + + double s2_squared = 1.-3.*pba->K/k/k; + + double a,a_prime_over_a; + + double dt=0., Omx=0., wx=0., kin=0., bra=0., bra_p=0., dbra=0., ten=0., run=0., M2=0.,DelM2=0.; + double Dd=0., cs2num=0., cs2num_p=0.; + double l1=0.,l2=0., l3=0., l4=0.,l5=0.,l6=0.,l7=0.,l8=0.,l2_p=0., l8_p=0.; + double B1_smg, B2_smg, B3_smg, B3num_smg, B3denom_smg, amplitude; + double rho_smg=0., rho_tot=0., p_tot=0., p_smg=0., H=0.,Hprime=0; + double g1=0., g2=0., g3=0.; + double x_smg=0.,xp_smg=0.,delta_rho_r=0.; + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + int nexpo; + + a_prime_over_a = ppw->pvecback[pba->index_bg_H]*a; + + H = ppw->pvecback[pba->index_bg_H]; + Hprime = ppw->pvecback[pba->index_bg_H_prime]; + a = ppw->pvecback[pba->index_bg_a]; + rho_tot = ppw->pvecback[pba->index_bg_rho_tot_wo_smg]; + p_tot = ppw->pvecback[pba->index_bg_p_tot_wo_smg]; + + // Read in the initial values of all background params: alphas, Omx, w + + //perturbation to time variable + + dt = -1/(4.*ppw->pvecback[pba->index_bg_H])*ppw->pv->y[ppw->pv->index_pt_delta_g]; + + + rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + wx = p_smg/rho_smg; + Omx = rho_smg/pow(H,2); + kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + bra = ppw->pvecback[pba->index_bg_braiding_smg]; + bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; + dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding + run = ppw->pvecback[pba->index_bg_M2_running_smg]; + ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; + l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; + l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; + l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; + l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; + l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; + l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; + l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; + l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; + l2_p = ppw->pvecback[pba->index_bg_lambda_2_prime_smg]; + l8_p = ppw->pvecback[pba->index_bg_lambda_8_prime_smg]; + cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; + cs2num_p = ppw->pvecback[pba->index_bg_cs2num_prime_smg]; + Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; + M2 = ppw->pvecback[pba->index_bg_M2_smg]; + DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + + /* NOTE: initial conditions are computed for EFT Horndeski. Beyond horndeski and background scalar field oscillations could be added */ + + if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { + + /* Initial conditions for the *dynamical* scalar field in the adiabatic mode + * 1) gravitating_attr: Self-consistent Gravitating Attractor + * We allow the scalar to contribute the gravitational field during RD (can happen if Omx or alphas large at early times) + * and solve radiation-scalar system together. + * We make the assumption that wx=1/3 and OmX is constant and constant alphas. + * Parameters smaller c.f. others can change in time. + * Scalar field can give rise to mode faster than standard adiabatic, which we test for and reject. + * Note that the scalar affects the gravitational potentials here, + * so we recompute eta and the velocities of the UR matter + * + * 2) Single clock + * x_smg = delta_phi/phi_dot + * phi(t,x) = phi(tau+delta tau(x)) + * This leads to very simple expressions: + * x_smg = delta tau = delta_cdm/a_prime_over_a and x_prime_smg = 0 + * + * 3) kineticity only IC: x_smg = (k tau)^2 + * from x_smg'' = 2 (a H)^2 x_smg + * + * 4) zero IC: x_smg = 0, x_smg'= 0. Good for checking the relevance of ICs. + * + * 5) ext_field_attr: External-field Attractor + * This assumes that OmX and all the alphas are small initially, + * so we are allowed arbitrary w. The scalar does not influence + * the gravitational potentials early on (i.e. evolves in an external field), so we only need to set the + * initial condition for x_smg but not the other fields. + * Appropriate for usual MG with no contribution at early times. + */ + + if (ppt->pert_initial_conditions_smg == gravitating_attr) { + /* ICs in case of large alphas in RD, when the scalar field affects the gravitational field. + * Exact for constant alpha models. We are allowed large Omx provided w=1/3 (tracker). + * In principle, can use for general alpha/Omx, but the expressions miss contributions from w!=1/3, + * so the amplitude will be somewhat off. + * Large alphas => large fifth forces, which can backreact on gravitiational potential. + * General soluton has + + h = (k tau)^(2+dnh); x_smg = amplitude * (k tau)^2 tau^dnv + + * If run=0, there is a solution with dnh = dnv = 0, but there may be faster-growing modes, + * which will end up dominating and do not conserve curvature superhorizon. + * We have already checked for their presence at some fiducial z_ref (line ~210) and failed + * if this is the case. + * + * If we have got this far, then we let perturbations run, since any instability would + * have apeared as a rusult of evolving alphas after the z_ref test above. + * We recompute the power law in case the values of alphas have changed. + * + * If run!=0, no conservation of zeta (at best approximate) or polynomial attractor. + * For small enough run, dnh!=dnv!=0 and we can find an approximate solution. + * Note that zeta is not conserved when Planck mass evolves! + */ + + // Calculate the coefficients of polynomial for exponent of the h and x_smg evolution: + // These parts are common to the coefficients coming from both the x_smg and h equations. + + // Note: The denominators in the expressions below can be zero. We try to trap this and regulate. + // We assume that M*^2>0 and D>0 which are tested for in the background routine. + // Doing this gives wrong ICs, but it's better than segmentation faults. + + // declare additional vars for grac attr initial conditions + double A_x_smg, A_v_nu_smg, A_sigma_nu_smg, A1_eta_smg, A2_eta_smg; + double n_nosource_smg, n_fastest_smg, dnv, dnh, dn, eps_smg; + double c0, c1, c2, c3, c0hp, c1hp, c2hp, c0vp, c1vp, c2vp; + double sols[3]; + double den1,den2, ic_regulator_smg; + int complex,i; + + ic_regulator_smg = ppr->pert_ic_regulator_smg; //read in the minimum size that will get regulated + ic_regulator_smg *= fabs(kin)+fabs(bra)+fabs(ten); //scale it to be proportional to the alphas + + c3 = 1.; + + c2 = 5. + 2.*run; + + den1 = (3*bra*ten + kin*(2 + ten)); + if(ic_regulator_smg>0 && (fabs(den1)0 is expressed purely as an ODE for x_smg vs the ODE for h. + // The corrections to the above are below. + + den2 = ((-6*bra*(1 + DelM2) + pow(bra,2)*(1 + DelM2) + 8*(DelM2 + Omx))*(4*(DelM2 + Omx) - 2*(2 + DelM2 - Omx)*ten + + bra*(1 + DelM2)*(1 + ten))); + if(ic_regulator_smg>0 && (fabs(den2)0 && (fabs(den2)0 && (fabs(den2)0 && (fabs(den2)perturbations_verbose > 6) + printf("Mode k=%e: ICs: grows with tau^3+nv with approx. nv=%f, while h -- with nh=%f at a=%e. dM=%f\n",k,dnv,dnh,a,DelM2); + + // Now we can set the initial ratio of amplitudes for x_smg and h.The expression is left with dnh/dnv terms implicit. + + // The amplitude of x_smg and other field seems to be better approximated by using a weighed average + // between dnh and dnv, instead of the initial estimate. Store the dnv in dn for setting V_prime. + // Note that this is totally empirical. + + dn=dnv; + dnv=(2*dnv+3*dnh)/5.; + + den2 = (2.*(3*pow(bra,3)*(2*(2 + run)* + (3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + + dnv*(36 + pow(run,2) + 10*ten + run*(16 + 3*ten))) + pow(bra,2)*(6*pow(dnv,3)*(run - ten) - + dnv*kin*(2 + run)*(1 + ten) + 6*pow(dnv,2)*(-4*Omx + pow(run,2) - run*(-5 + ten) - (5 + 2*Omx)*ten) + + 6*dnv*(-12 + 2*(-5 + Omx)*run + pow(run,2) + (-3 + 2*Omx)*run*ten - 2*Omx*(8 + 3*ten)) - + 4*(54 + 12*Omx + 21*pow(run,2) - 6*(9 + Omx)*ten + kin*(2 + run)*(1 + ten) - + 3*run*(-29 + 4*Omx + (6 + 4*Omx)*ten))) + 2*bra*((4 + dnv)*kin*(3*(2 + run)*(1 + ten) + + pow(dnv,2)*(2 + ten) + dnv*(8 + 3*ten + run*(3 + ten))) + 12*((-1 + 8*Omx + dnv*(-1 + 2*Omx))* + pow(run,2) + 6*Omx*(4 - 3*ten) + dnv*(4*Omx + 3*ten - 5*Omx*ten) + run*(4 + 22*Omx + 3*ten - + 12*Omx*ten + dnv*(-3 + 7*Omx + ten - 2*Omx*ten)))) + 4*(pow(dnv,3)*kin*(run - ten) + + pow(dnv,2)*kin*(-4*Omx + pow(run,2) - run*(-5 + ten) - 5*ten - 2*Omx*ten) - 8*(Omx*(kin + 12*Omx)*run + + (-3 + 6*Omx)*pow(run,2) + (3 + (-6 + kin)*Omx)*run*ten + 2*Omx*(kin + 6*Omx + kin*ten - 3*Omx*ten)) + + 2*dnv*(-12*(-1 + Omx)*Omx*(run - ten) + kin*(2*pow(run,2) - 2*(5*Omx + ten + 3*Omx*ten) - + run*(-2 + Omx + (2 + Omx)*ten)))) + pow(DelM2,2)*(-96*(2 + run)*(2 + run - ten) + + 4*(4 + dnv)*kin*(pow(dnv,2)*(run - ten) - 2*(2 + run)*(1 + ten) + dnv*(-4 + run + pow(run,2) - 3*ten - + run*ten)) + 3*pow(bra,3)*(2*(2 + run)*(3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + + pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + dnv*(36 + pow(run,2) + 10*ten + run*(16 + 3*ten))) + + 2*bra*(pow(dnv,3)*kin*(2 + ten) + 12*(2 + run)*(12 + kin + 7*run - 9*ten + kin*ten) + + pow(dnv,2)*kin*(16 + 7*ten + run*(3 + ten)) + dnv*(12*(2 + run)*(2 + run - ten) + + kin*(38 + 15*run + 18*ten + 7*run*ten))) + pow(bra,2)*(6*pow(dnv,2)*(-4 + pow(run,2) - + run*(-5 + ten) - 7*ten) + 6*pow(dnv,3)*(run - ten) - 4*(2 + run)*(33 + kin + 21*run - 30*ten + kin*ten) - + dnv*(kin*(2 + run)*(1 + ten) + 6*(28 - pow(run,2) + 6*ten + run*(8 + ten))))) + 2*DelM2*(-48*(dnv*(-1 + Omx)* + (run - ten) + 2*Omx*(2 + run)*(2 + run - ten)) + 4*(4 + dnv)*kin*(pow(dnv,2)*(run - ten) - (1 + Omx)*(2 + run)* + (1 + ten) + dnv*(-2*(1 + Omx) + run + pow(run,2) - (2 + Omx)*ten - run*ten)) + 3*pow(bra,3)*(2*(2 + run)* + (3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + dnv*(36 + pow(run,2) + + 10*ten + run*(16 + 3*ten))) + pow(bra,2)*(6*pow(dnv,3)*(run - ten) - dnv*kin*(2 + run)*(1 + ten) + + 6*pow(dnv,2)*(-2*(1 + Omx) + pow(run,2) - run*(-5 + ten) - (6 + Omx)*ten) + 6*dnv*(-4*(5 + 2*Omx) + pow(run,2) - + 3*(1 + Omx)*ten + run*(-9 + Omx + (-2 + Omx)*ten)) - 4*(60 + 6*Omx + 21*pow(run,2) - 57*ten - 3*Omx*ten + + kin*(2 + run)*(1 + ten) - 3*run*(-27 + 2*Omx + 2*(4 + Omx)*ten))) + 2*bra*(pow(dnv,3)*kin*(2 + ten) + + pow(dnv,2)*kin*(16 + 7*ten + run*(3 + ten)) + 12*((3 + 4*Omx)*pow(run,2) + kin*(2 + run)*(1 + ten) - + 3*(1 + Omx)*(-4 + 3*ten) + run*(15 + 11*Omx - 3*ten - 6*Omx*ten)) + dnv*(6*(4 + 4*Omx + run + + 2*Omx*pow(run,2) + Omx*run*(7 - 2*ten) + ten - 5*Omx*ten) + kin*(38 + 18*ten + run*(15 + 7*ten))))))); + + if(ic_regulator_smg>0 && (fabs(den2)0 && (fabs(den1)0 && (fabs(den2)curvature_ini * (1. + A2_eta_smg/A1_eta_smg*ktau_two); + + if(ppt->perturbations_verbose > 8) + printf(" ampl = %e, eta A1 = %e (%e), A2 = %e (%e), ktau^2 = %e, curv = %e \n",amplitude,A1_eta_smg,1.,A2_eta_smg, + -1./12./(15.+4.*fracnu)*(5.+4.*s2_squared*fracnu - (16.*fracnu*fracnu+280.*fracnu+325)/10./(2.*fracnu+15.)*tau*om), + ktau_two, ppr->curvature_ini ); + + // Initial conditions for MG scalar assuming that we have standard adiabatic attractor + // Note thatthe derivative is set using the real dnv calculated initially. + + ppw->pv->y[ppw->pv->index_pt_x_smg] = 0.5*amplitude*ktau_two*tau*(ppr->curvature_ini)/A1_eta_smg; + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (3+dn)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + + // Correct all shear-free species by reducing amplitude by A1_eta_smg and the velocities for dn + + ppw->pv->y[ppw->pv->index_pt_delta_g] /= A1_eta_smg; + ppw->pv->y[ppw->pv->index_pt_theta_g] /= A1_eta_smg/3*(3+dnh); + ppw->pv->y[ppw->pv->index_pt_delta_b] /= A1_eta_smg; + ppw->pv->y[ppw->pv->index_pt_theta_b] /= A1_eta_smg/3*(3+dnh); + if (pba->has_cdm == _TRUE_) + ppw->pv->y[ppw->pv->index_pt_delta_cdm] /= A1_eta_smg; + if (pba->has_dcdm == _TRUE_) + ppw->pv->y[ppw->pv->index_pt_delta_dcdm] /= A1_eta_smg; + if (pba->has_fld == _TRUE_) { + ppw->pv->y[ppw->pv->index_pt_delta_fld] /= A1_eta_smg; + ppw->pv->y[ppw->pv->index_pt_theta_fld] /= A1_eta_smg/3*(3+dnh); + } + if (pba->has_scf == _TRUE_) { + ppw->pv->y[ppw->pv->index_pt_phi_scf] /= A1_eta_smg; + ppw->pv->y[ppw->pv->index_pt_phi_prime_scf] /= A1_eta_smg/3*(3+dnh); + } + if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_)) { + // Species with shear have a corrected initial condition + + A_v_nu_smg = (amplitude*(-(bra*(1 + DelM2)*(4 + dnv)) + 4*(DelM2 + Omx)))/(30*(1 + DelM2) + + 5*(1 + DelM2)*dnv*(5 + dnv) - 8*fracnu*(-1 + Omx)) + (-9*(1 + DelM2)*dnh*(5 + dnh) + + 8*fracnu*(-1 + Omx) - 2*(23 + 27*DelM2 + 4*Omx))/(12.*(3 + dnh)*(30*(1 + DelM2) + + 5*(1 + DelM2)*dnh*(5 + dnh) - 8*fracnu*(-1 + Omx))); + + A_sigma_nu_smg = (amplitude*(3 + dnv)*(bra*(1 + DelM2)*(4 + dnv) - 4*(DelM2 + Omx)))/(30*(1 + DelM2) + + 5*(1 + DelM2)*dnv*(5 + dnv) - 8*fracnu*(-1 + Omx)) + ((1 + DelM2)*dnh*(5 + dnh) + + 2*(2 + 3*DelM2 + Omx))/(3.*(30*(1 + DelM2) + 5*(1 + DelM2)*dnh*(5 + dnh) - + 8*fracnu*(-1 + Omx))); + + + + delta_ur = ppw->pv->y[ppw->pv->index_pt_delta_g]; /* has already been rescaled above! */ + + theta_ur = A_v_nu_smg/A1_eta_smg* k*ktau_three* ppr->curvature_ini; + // /36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini * s2_squared; /* velocity of ultra-relativistic neutrinos/relics, modified */ //TBC + + shear_ur = A_sigma_nu_smg/A1_eta_smg* ktau_two * ppr->curvature_ini; + // /(45.+12.*fracnu) * (3.*s2_squared-1.) * (1.+(4.*fracnu-5.)/4./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini;//TBC /s2_squared; /* shear of ultra-relativistic neutrinos/relics */ //TBC:0 + + //TODO: needs to be modified? (ask ILS) + l3_ur = ktau_three/A1_eta_smg*2./7./(12.*fracnu+45.)* ppr->curvature_ini;//ILS + + if(ppt->perturbations_verbose > 8) + printf(" fracnu = %e, A_v_nu = %e (%e), A_sigma_nu = %e (%e), th_ur/th_g = %e, x_smg/vm = %e\n", fracnu, A_v_nu_smg, + -1./36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om), + A_sigma_nu_smg, + 1./(45.+12.*fracnu) * (3.*s2_squared-1.) * (1.+(4.*fracnu-5.)/4./(2.*fracnu+15.)*tau*om), + theta_ur/ppw->pv->y[ppw->pv->index_pt_theta_g],k*k*ppw->pv->y[ppw->pv->index_pt_x_smg]/ppw->pv->y[ppw->pv->index_pt_theta_g]); + if(pba->has_dr == _TRUE_) delta_dr = delta_ur;} + // end neutrino part + if(ppt->perturbations_verbose > 5) + printf("Mode k=%e: Adiabatic mode gravitating_attr IC for early smg: ",k); + } + //end of gravitation_attr ICs + + if (ppt->pert_initial_conditions_smg == kin_only) { + ppw->pv->y[ppw->pv->index_pt_x_smg] = ktau_two * dt; + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = 2 * k * k * tau * dt; + if (ppt->perturbations_verbose > 5) + printf("Mode k=%e: Adiabatic mode kin_only IC for smg: ", k); + } + + if (ppt->pert_initial_conditions_smg == single_clock) { + // single_clock IC given with respect to photons (because there are always photons) + ppw->pv->y[ppw->pv->index_pt_x_smg] = -1 / (4. * ppw->pvecback[pba->index_bg_H]) * ppw->pv->y[ppw->pv->index_pt_delta_g]; + // Single clock IC => x^prime = 0 + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = 0.; + if (ppt->perturbations_verbose > 5) + printf("Mode k=%e: Adiabatic mode single clock IC for smg: ", k); + } + + if (ppt->pert_initial_conditions_smg == zero) { + ppw->pv->y[ppw->pv->index_pt_x_smg] = 0.; + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = 0. ; + + if(ppt->perturbations_verbose > 5) + printf("Mode k=%e: Aduabatic model zero IC for smg: ",k); + } + + if (ppt->pert_initial_conditions_smg == ext_field_attr) { + + nexpo=2; // h = C tau^2 + + calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude); + + ppw->pv->y[ppw->pv->index_pt_x_smg] = amplitude*ktau_two*tau*(ppr->curvature_ini); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + + if(ppt->perturbations_verbose > 5) + printf("Mode k=%e: Adiabatic mode ext_field_attr IC for smg: ",k); + + } + // End external-field attractor ICs + + x_smg = ppw->pv->y[ppw->pv->index_pt_x_smg]; + xp_smg = ppw->pv->y[ppw->pv->index_pt_x_prime_smg]; + + } + //end adiabatic mode dynamical ICs for smg + else { + // Adiabatic mode Quasi-Static initial conditions + + /* We reach here if initialisation for a mode happens in quasi-static conditions. + Before, we already have made sure that the initialisation happens early enough so that + all modes are either quasi-static or dynamical. Here we test that if they are QS, the initial + superhorizon configuration is not too different from GR. If it were, then we can't trust + that the curvature perturbation is conserved and therefore cannot connect + the amplitude at initialisation with that of primordial power spectrum. + + Roughly, the QS solution for x_smg is given by + + ((D cs^2 k^2 +M^2 a^2 )x_smg_QS = coeff1 * k^2 eta + coeff2 * delta_rad + + while the effect of this is given by the (0i) Einstein equation + + eta' = theta_rad + coeff3* x_smg + + We know that the standard solution for eta' is k^2*tau, so we will require that the QS solution + at the scale of initialisation is no more than an order 1 correction to that. If this test is failed + then quit with error. If it is passed, we don't actually change any ICs, since all matter species are standard + and the x_smg/x_smg' are assigned in perturbations_einstein + */ + + double delta_g = 0., delta_rho = 0., delta_rho_r = 0., delta_p = 0; + double rho_plus_p_theta = 0., rho_plus_p_theta_r = 0.; + double contribfromx = 0., contribfromtheta = 0., contribratio = 0.; + + // Approximate that all radiation has same delta/theta as photons and that pressure is 1/3 of radiation density + + delta_g = ppw->pv->y[ppw->pv->index_pt_delta_g]; + delta_rho = rho_r * delta_g; + delta_rho_r = delta_rho; + delta_p = delta_rho / 3.; + rho_plus_p_theta = 4. / 3. * rho_r * ppw->pv->y[ppw->pv->index_pt_theta_g]; + rho_plus_p_theta_r = rho_plus_p_theta; + + // Below QS equations are copied from perturbations_einstein: make sure any changes there are reflected + // QS-IC-change + + x_smg = (4. * cs2num * pow(k, 2) * M2 * eta + 6. * l2 * delta_rho * pow(a, 2) + + ((-2.) + bra) * 9. * bra * delta_p * pow(a, 2)) * + 1. / 4. * pow(H, -1) * pow(M2, -1) * pow(a, -1) * pow(cs2num * pow(k, 2) + (-4.) * pow(H, 2) * l8 * pow(a, 2), -1); + + g1 = cs2num * pow(k / (a * H), 2) - 4. * l8; + + g2 = (2. - bra) * (g1 + (3. * bra + kin) * bra * rho_r * pow(H, -2) * pow(M2, -1) - + bra * cs2num * pow(k / (a * H), 2) / 2.) / 2. - 3. / 4. * (3. * bra + kin) * (rho_tot + p_tot) * + pow(H, -2) * l2 * pow(M2, -1); + + g3 = -(2. * (2. - bra) * bra * rho_r - 3. * (rho_tot + p_tot) * l2) * (18. - 18. * (rho_tot + p_tot) * pow(H, -2) * pow(M2, -1) - 15. * bra - 2. * kin + 9. * (2. - bra) * (p_tot + p_smg) * pow(H, -2) - + 2. * bra * pow(k / (a * H), 2)) * pow(H, -2) * pow(M2, -1) + 2. * (2. - bra) * cs2num * (5. - bra - 3. * (rho_tot + p_tot) * pow(M2, -1) * pow(H, -2) + 9. * (p_tot + p_smg) * pow(H, -2)) * pow(k / (a * H), 2) + + 4. * (2. - bra) * (pow(k / (a * H), 2) * cs2num_p - 4. * l8_p) / (a * H); + + xp_smg = 3. / 2. * (pow(2. - bra, 2) * bra * pow(H, -2) * pow(M2, -1) * delta_rho_r + + (3. / 2. * (2. - bra) * cs2num * (p_tot + p_smg) * pow(H, -2) - pow(H, -2) * l2 * (p_tot + rho_tot) / M2 + + (2. - bra) * pow(H, -1) * cs2num_p / a / 3. + (2. - bra) * cs2num / 2. - cs2num * g3 / g1 / 12. + + 2. / 3. * (2. - bra) * bra * rho_r * pow(H, -2) / M2) * pow(k / (a * H), 2) * eta + (2. - bra) * (cs2num - l2) * pow(M2 * a, -1) * pow(H, -3) * rho_plus_p_theta / 2. + + 3. / 2. * (2. - bra) * ((2. - bra) * (-7. + 2. * run) / 4. * bra + 1. / 8. * bra * g3 / g1 - l2 - + 9. / 4. * (2. - bra) * bra * (p_tot + p_smg) * pow(H, -2) - (1. - bra) * pow(a * H, -1) * bra_p) * pow(H, -2) * pow(M2, -1) * delta_p + + ((2. - bra) * bra * rho_r * pow(H, -2) * pow(M2, -1) - g3 / g1 * l2 / 8. - (6. * rho_tot / M2 - (2. - bra - 4. * run + 2. * bra * run) * pow(H, 2)) / 4. * pow(H, -2) * l2 - + 3. / 4. * (2. / M2 - 6. + 3. * bra) * pow(H, -2) * l2 * p_tot + 9. / 4. * (2. - bra) * pow(H, -2) * l2 * p_smg + (2. - bra) / 2. * pow(H, -1) * l2_p * pow(a, -1)) * pow(M2, -1) * pow(H, -2) * delta_rho + + pow(2. - bra, 2) * bra * pow(H, -3) * pow(M2 * a, -1) * rho_plus_p_theta_r / 4.) * pow(g2, -1); + + // Now test to make sure that x_smg_QS contribution to (0i) equation is small compared with that from radiation + // If fail -> quit + + contribfromx = a * H / 2. * bra * xp_smg + (a * Hprime + pow(a_prime_over_a, 2) / 2. * bra + + 3. * a * a / (2. * M2) * 4. / 3. * rho_r) * x_smg; + contribfromtheta = 3. * a * a * rho_plus_p_theta / (2. * k * k * M2); + contribratio = fabs(contribfromx / contribfromtheta); + + class_test(ppr->pert_qs_ic_tolerance_test_smg > 0 && (contribratio > ppr->pert_qs_ic_tolerance_test_smg), + ppt->error_message, + "\n Cannot set adiabatic initial conditions for smg pertubations: quasi-static configuration with large correction of gravity required superhorizon. Loss of connection to priordial power spectrum. \n"); + + // If contribratio small enough, don't fail and start evolving perturbations. + // x_smg/x_smg' get set in perturbations_einstein_smg! + + if (ppt->perturbations_verbose > 5) { + printf("\nMode k=%e: Quasi-static ICs for smg: ", k); + } + }; + + //print the scalar's IC values, whatever the ICs + if(ppt->perturbations_verbose > 5) + printf(" x_smg = %e, x_smg'= %e \n", x_smg, xp_smg); + + *ptr_eta = eta; + *ptr_delta_ur = delta_ur; + *ptr_theta_ur = theta_ur; + *ptr_shear_ur = shear_ur; + *ptr_l3_ur = l3_ur; + *ptr_delta_dr = delta_dr; + + return _SUCCESS_; +} + + +/* Note on smg and isocurvature: + * if we have "zero" or "single_clock" ICs for SMG, then leave x_smg + and x_prime_smg at the initalisation value of 0 + and let it find a proper solution. + * grav_attr isocurvature would backreact and has NOT been implemented. + We have already failed earlier if it is asked for. + + * Only need to implement ext_field_attr. + We assume that there is no backreaction of x_smg onto the other species + and therefore the other species' isocurvature ICs do not change. + However, x_smg is determined by a particular solution of the + evolution equation with a source h scaling with a different exponent + for each isocurvature mode type + + We only take the leading-order power-law in om + since we start very deep in RD + + The calc_extfld_ampl_smg function produces the amplitude for x_smg + on the assumption that the normalisation is h = 1/2 * tau^n + We correct for this normalisation by using coeff_isocurv_smg + defining is according to the normalisation in BMT99 + adjusted for the CLASS redefinition. However, for NID and NIV, + we need to find the leading order term in h which is not + from fracb + +TODO: In principle should also test if sg is initialised as QS whether gravity is modified already, just like + we do for adiabatic modes. +TODO: Gravitating attractor isocurvature modes. + +*/ + +/** + * Cdm isocurvature initial conditions. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param tau Input: conformal time + * @param k Input: k mode + * @param fraccdm Input: cdm to radiation fraction + * @param om Input: matter to radiation fraction + * @return the error status + */ +int perturbations_isocurvature_cdm_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fraccdm, + double om + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static + if((ppt->pert_initial_conditions_smg==ext_field_attr) && (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { + /* NOTE: initial conditions are computed for EFT Horndeski. Beyond horndeski and background scalar field oscillations could be added */ + + double coeff_isocurv_smg; + + int nexpo= 1; + + double a = ppw->pvecback[pba->index_bg_a]; + double H = ppw->pvecback[pba->index_bg_H]; + double rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + double p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + double wx = p_smg/rho_smg; + double Omx = rho_smg/pow(H,2); + double kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + double bra = ppw->pvecback[pba->index_bg_braiding_smg]; + double bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; + double dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding + double run = ppw->pvecback[pba->index_bg_M2_running_smg]; + double ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; + double l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; + double l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; + double l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; + double l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; + double l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; + double l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; + double l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; + double l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; + double cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; + double Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + double amplitude; + + coeff_isocurv_smg = ppr->entropy_ini*fraccdm*om; + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2 + + + ppw->pv->y[ppw->pv->index_pt_x_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + if(ppt->perturbations_verbose > 5) + { + printf("Mode k=%e: CDI mode ext_field_attr IC for smg: ",k); + printf(" x_smg = %e, x_smg'= %e \n",ppw->pv->y[ppw->pv->index_pt_x_smg],ppw->pv->y[ppw->pv->index_pt_x_prime_smg]); + } + } + + return _SUCCESS_; +} + + +/** + * Baryon isocurvature initial conditions. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param tau Input: conformal time + * @param k Input: k mode + * @param fracb Input: baryon to radiation fraction + * @param om Input: matter to radiation fraction + * @return the error status + */ +int perturbations_isocurvature_b_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracb, + double om + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static + if((ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { + /* NOTE: initial conditions are computed for EFT Horndeski. Beyond horndeski and background scalar field oscillations could be added */ + double coeff_isocurv_smg; + + int nexpo= 1; + + double a = ppw->pvecback[pba->index_bg_a]; + double H = ppw->pvecback[pba->index_bg_H]; + double rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + double p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + double wx = p_smg/rho_smg; + double Omx = rho_smg/pow(H,2); + double kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + double bra = ppw->pvecback[pba->index_bg_braiding_smg]; + double bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; + double dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding + double run = ppw->pvecback[pba->index_bg_M2_running_smg]; + double ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; + double l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; + double l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; + double l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; + double l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; + double l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; + double l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; + double l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; + double l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; + double cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; + double Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + double amplitude; + + coeff_isocurv_smg = ppr->entropy_ini*fracb*om; + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2. + + ppw->pv->y[ppw->pv->index_pt_x_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + + + if(ppt->perturbations_verbose > 5) + { + printf("Mode k=%e: BI mode ext_field_attr IC for smg: ",k); + printf(" x_smg = %e, x_smg'= %e \n",ppw->pv->y[ppw->pv->index_pt_x_smg],ppw->pv->y[ppw->pv->index_pt_x_prime_smg]); + } + } + + return _SUCCESS_; +} + + +/** + * Neutrino density isocurvature initial conditions. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param tau Input: conformal time + * @param k Input: k mode + * @param fracnu Input: neutrinos to radiation fraction + * @param fracg Input: photons to radiation fraction + * @param fracb Input: baryon to radiation fraction + * @param om Input: matter to radiation fraction + * @return the error status + */ +int perturbations_isocurvature_urd_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracnu, + double fracg, + double fracb, + double om + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static + if((ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { + + /* NOTE: initial conditions are computed for EFT Horndeski. Beyond horndeski and background scalar field oscillations could be added */ + double coeff_isocurv_smg; + + double a = ppw->pvecback[pba->index_bg_a]; + double H = ppw->pvecback[pba->index_bg_H]; + double rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + double p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + double wx = p_smg/rho_smg; + double Omx = rho_smg/pow(H,2); + double kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + double bra = ppw->pvecback[pba->index_bg_braiding_smg]; + double bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; + double dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding + double run = ppw->pvecback[pba->index_bg_M2_running_smg]; + double ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; + double l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; + double l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; + double l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; + double l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; + double l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; + double l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; + double l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; + double l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; + double cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; + double Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + double amplitude; + + // Dominant higher-order correction to BMT99 in the limit fracb*om*tau<<(k*tau)^2: + // h = -fracnu/(36*(15+4*fracnu)) * (k*tau)^4 + + int nexpo= 3; + + coeff_isocurv_smg = ppr->entropy_ini * fracb*fracnu/fracg/10.*k*k * om/4; + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2 + + ppw->pv->y[ppw->pv->index_pt_x_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + nexpo=4; //next-order term (tau^4) similar in size for h as tau^3 if start late + + coeff_isocurv_smg = ppr->entropy_ini * k*k*fracnu/1152.* + (-32.*k*k/(15.+4.*fracnu)- 9.*fracb*(fracb+fracg)*om*om/fracg/fracg); + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2 + + ppw->pv->y[ppw->pv->index_pt_x_smg] += amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] += (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + + if(ppt->perturbations_verbose > 5) + { + printf("Mode k=%e: NID mode ext_field_attr IC for smg: ",k); + printf(" x_smg = %e, x_smg'= %e \n", ppw->pv->y[ppw->pv->index_pt_x_smg],ppw->pv->y[ppw->pv->index_pt_x_prime_smg]); + } + } + + return _SUCCESS_; +} + + +/** + * Neutrino velocity isocurvature initial conditions. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppw Input/Output: pointer to perturbation workspace structure + * @param tau Input: conformal time + * @param k Input: k mode + * @param fracnu Input: neutrinos to radiation fraction + * @param fracg Input: photons to radiation fraction + * @param fracb Input: baryon to radiation fraction + * @param om Input: matter to radiation fraction + * @return the error status + */ +int perturbations_isocurvature_urv_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct perturbations_workspace * ppw, + double tau, + double k, + double fracnu, + double fracg, + double fracb, + double om + ) { + + int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; + + //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static + if((pba->has_smg == _TRUE_)&&(ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { + /* NOTE: initial conditions are computed for EFT Horndeski. Beyond horndeski and background scalar field oscillations could be added */ + + double coeff_isocurv_smg; + + double a = ppw->pvecback[pba->index_bg_a]; + double H = ppw->pvecback[pba->index_bg_H]; + double rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; + double p_smg = ppw->pvecback[pba->index_bg_p_smg]; + + double wx = p_smg/rho_smg; + double Omx = rho_smg/pow(H,2); + double kin = ppw->pvecback[pba->index_bg_kineticity_smg]; + double bra = ppw->pvecback[pba->index_bg_braiding_smg]; + double bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; + double dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding + double run = ppw->pvecback[pba->index_bg_M2_running_smg]; + double ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; + double l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; + double l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; + double l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; + double l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; + double l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; + double l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; + double l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; + double l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; + double cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; + double Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; + double M2 = ppw->pvecback[pba->index_bg_M2_smg]; + double DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + double amplitude; + + int nexpo=2; + + coeff_isocurv_smg = ppr->entropy_ini * 9./32. *k*om*fracnu*fracb/fracg; + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2 + + ppw->pv->y[ppw->pv->index_pt_x_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + nexpo=3; //next-order term (tau^3) similar in size for h as tau^2 if start late + + coeff_isocurv_smg = ppr->entropy_ini * fracnu * + ( -3.*om*om*k/160.*fracb*(3*fracb+5*fracg)/fracg/fracg -4*k*k*k/15./(5.+4.*fracnu) ); + + class_call(calc_extfld_ampl_smg(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, + l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, + &litude), + ppt->error_message,ppt->error_message); + amplitude *=2; //calc_extfld_ampl_smg assumes h normalised to 1/2 + + ppw->pv->y[ppw->pv->index_pt_x_smg] += amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); + ppw->pv->y[ppw->pv->index_pt_x_prime_smg] += (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_x_smg]; + + if(ppt->perturbations_verbose > 5) + { + printf("Mode k=%e: NIV mode ext_field_attr IC for smg: ",k); + printf(" x_smg = %e, x_smg'= %e \n",ppw->pv->y[ppw->pv->index_pt_x_smg],ppw->pv->y[ppw->pv->index_pt_x_prime_smg]); + } + } + + return _SUCCESS_; +} + + +/** + * Test for stability of solutions in RD before initialisation of + * perturbations: if standard solution not stable, cannot set ICs properly. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @return the error status + */ +int test_ini_grav_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt + ) { + // test stability of gravitating_attr ICs + + double kin, bra, run, ten, DelM2, Omx, wx; + double c3, c2, c1,c0, den1, den2, ic_regulator_smg; + double tau_ini, z_ref; + int i; + double fastest_growth, wouldbe_adiab; + double * pvecback; + int first_index_back; + double sols[3]; + int complex; + + class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); + + z_ref = ppr->pert_ic_ini_z_ref_smg; + + class_call(background_tau_of_z(pba, z_ref,&tau_ini), + pba->error_message, + ppt->error_message); + + class_call(background_at_tau(pba, + tau_ini, + long_info, + inter_normal, + &first_index_back, + pvecback), + pba->error_message, + ppt->error_message); + + // define alphas + wx = pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg]; + Omx = pvecback[pba->index_bg_rho_smg]/pow(pvecback[pba->index_bg_H],2); + kin = pvecback[pba->index_bg_kineticity_smg]; + bra = pvecback[pba->index_bg_braiding_smg]; + run = pvecback[pba->index_bg_M2_running_smg]; + ten = pvecback[pba->index_bg_tensor_excess_smg]; + DelM2 = pvecback[pba->index_bg_delta_M2_smg];//M2-1 + + /* Determine the solutions + * + * h = C * tau^2+x + * + * where n is the solution of + * + * c3 x^3 + c2 x^2 + c1 x + c0 = 0 + * + * Note: if complex solutions then take the real part for the test + * These solutions are exact when run=0. If not, then they are approximate. + * These coefficients were obtain by solving the radiation+smg system + * to obtain a 5th-order ODE for h. Removing two gauge modes, leaves + * a cubic with three solutions relevant in the k->0 limit. + * Note that we approximate the ci to O(run). + */ + + // Note: The denominators in the expressions below can be zero. We try to trap this and regulate. + // We assume that M*^2>0 and D>0 which are tested for in the background routine. + // Doing this gives wrong ICs, but it's better than segmentation faults. + + ic_regulator_smg = ppr->pert_ic_regulator_smg;// read in the minimum size that will get regulated + ic_regulator_smg *= fabs(kin)+fabs(bra)+fabs(ten); // scale it relative to the alphas + + c3 = 1.; + + c2 = 5. + 2.*run; + + den1 = (3.*bra*ten + kin*(2. + ten)); + + if(ic_regulator_smg>0 &&(fabs(den1)0 &&(fabs(den2)0 && (fabs(den2)0 && (fabs(den2)perturbations_verbose > 1) { + printf("\nGravitating attractor ICs give growing modes at z=%e: \n (Approximate) polynomial",z_ref); + printf(" solutions h ~ (k_tau)^n (complex = %i) with exponents: \n",complex); + } + + fastest_growth = sols[0]; //want fastest + wouldbe_adiab = sols[0]; //want closest to zero + for (i=0; i<3; i+=1) { + if (sols[i] > fastest_growth) { + fastest_growth = sols[i]; + } + if (fabs(sols[i]) < fabs(wouldbe_adiab)) { + wouldbe_adiab = sols[i]; + } + if (ppt->perturbations_verbose > 1) { + printf(" n_%i = %f\n",i, 2+sols[i]); + } + } + if (ppt->perturbations_verbose > 1) { + printf(" fastest growing mode n = %f\n",2+fastest_growth); + printf(" mode closest to standard adiabatic solution, n=%f\n",2+wouldbe_adiab); + printf(" omx = %e, dM* = %e\n",Omx,DelM2); + } + + // Check that would-be adiabatic mode is actually the fastest mode, otherwise + // the would-be adiabatic attractor destabilises to the fastest mode, i.e. we cannot assume that the curvature was + // conserved between inflation and the beginning of hi_class and therefore there is no + // relation between the inflational amplitude A_S and the parameter we use for normalisation of curvature. + + /* We don't need this: te closest to zero mode actually conserves eta/zeta in any case + class_test_except(ppr->pert_ic_tolerance_smg>0 && (fabs(wouldbe_adiab) > ppr->pert_ic_tolerance_smg), + ppt->error_message, + free(pvecback), + "\n Cannot set initial conditions for early_smg: adiabatic mode h ~ tau^2 lost, h ~ tau^n with n = %f",2+wouldbe_adiab); + */ + + if (fabs(fastest_growth)>fabs(wouldbe_adiab)) { + class_test_except(ppr->pert_ic_tolerance_smg>0 && (fabs(fastest_growth) > ppr->pert_ic_tolerance_smg), + ppt->error_message, + free(pvecback), + "\n Cannot set initial conditions for early_smg:\n There does exist a mode where curvature is conserved n=%f, but solution destabilises to a faster-growing non-conserving mode with n=%f.",2+wouldbe_adiab,2+fastest_growth); + } + + free(pvecback); + + // If we get here, then initialise modes and evolve them! + + return _SUCCESS_; + +} + + +/** + * Test for tachyonic instability of x_smg in RD before initialisation of + * perturbations: if not stable, cannot set ICs properly. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @return the error status + */ +int test_ini_extfld_ic_smg( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt + ) { + + double kin, bra, run, ten, DelM2, Omx, wx; + double l1,l2, l3, l4,l5,l6,l7,l8, cs2num, Dd; + double B1_smg, B2_smg; + double tau_ini, z_ref; + double x_growth_smg; + double * pvecback; + int first_index_back; + + class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); + + z_ref = ppr->pert_ic_ini_z_ref_smg; + + class_call(background_tau_of_z(pba, z_ref,&tau_ini), + pba->error_message, + ppt->error_message); + + class_call(background_at_tau(pba, + tau_ini, + long_info, + inter_normal, + &first_index_back, + pvecback), + pba->error_message, + ppt->error_message); + + // look up alphas etc. at z_ref + wx = pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg]; + Omx = pvecback[pba->index_bg_rho_smg]/pow(pvecback[pba->index_bg_H],2); + kin = pvecback[pba->index_bg_kineticity_smg]; + bra = pvecback[pba->index_bg_braiding_smg]; + run = pvecback[pba->index_bg_M2_running_smg]; + ten = pvecback[pba->index_bg_tensor_excess_smg]; + DelM2 = pvecback[pba->index_bg_delta_M2_smg];//M2-1 + l1 = pvecback[pba->index_bg_lambda_1_smg]; + l2 = pvecback[pba->index_bg_lambda_2_smg]; + l3 = pvecback[pba->index_bg_lambda_3_smg]; + l4 = pvecback[pba->index_bg_lambda_4_smg]; + l5 = pvecback[pba->index_bg_lambda_5_smg]; + l6 = pvecback[pba->index_bg_lambda_6_smg]; + l7 = pvecback[pba->index_bg_lambda_7_smg]; + l8 = pvecback[pba->index_bg_lambda_8_smg]; + cs2num = pvecback[pba->index_bg_cs2num_smg]; + Dd = pvecback[pba->index_bg_kinetic_D_smg]; + + B1_smg = (bra/Dd)*(bra/(2.*(-2 + bra)*(kin + l1)))*((-6 + kin)*l1 + 3*l4); + B1_smg += (3*pow(bra,3))*(l1/Dd)/(2.*(-2 + bra)*(kin + l1)); + B1_smg += 2*(cs2num/Dd)*(3*bra*kin + pow(kin,2) - 3*l4)/(2.*(-2. + bra)*(kin + l1)); + B1_smg += 2*(3*l2*l4/Dd + (kin/Dd)*(l1*l2 - 8*l7) - 8*l1/Dd*l7)/(2.*(-2 + bra)*(kin + l1)); + B1_smg -= 2*(bra/Dd)*((kin*l1/(kin + l1) - 3*l1*l2/(kin + l1) + 3*l4/(kin + l1))/(2.*(-2 + bra))); + + B2_smg = 8*(1 + DelM2)*(3*l2*l6/Dd + 4*kin*l8/Dd); + B2_smg += 4*(l1/Dd)*(8*(1 + DelM2)*l8 + l2*(12 - 12*Omx + (1 + DelM2)*(-12 + kin + Omx*(3 - 9*wx)))); + B2_smg += 2*(bra/Dd)*bra*(6*(1 + DelM2)*l6 + l1*(12 - 12*Omx + (1 + DelM2)*(-30 + kin + 6*Omx*(1 - 3*wx)))); + B2_smg += 3*pow(bra,3)*(1 + DelM2)*(l1/Dd)*(6 + Omx*(-1 + 3*wx)); + B2_smg += 2*(cs2num/Dd)*(2*(1 + DelM2)*pow(kin,2) - 12*(1 + DelM2)*l6 + 3*kin*(8 - 8*Omx + (1 + DelM2)*(-8 + Omx*(2 - 6*wx) + bra*(6 + Omx*(-1 + 3*wx))))); + B2_smg -= 2*(bra/Dd)*(12*(1 + DelM2)*l6 + l1*(24 - 24*Omx + (1 + DelM2)*(2*kin - 3*(8 + 2*Omx*(-1 + 3*wx) + l2*(6 + Omx*(-1 + 3*wx)))))); + B2_smg /= (4.*(-2 + bra)*(1 + DelM2)*(kin + l1)); + + x_growth_smg = 0.5*(1.-B1_smg); + + if (1.-2.*B1_smg + B1_smg*B1_smg -4.*B2_smg >=0) { + x_growth_smg += 0.5*sqrt(1. -2.*B1_smg + B1_smg*B1_smg -4.*B2_smg); + } + + if (ppt->perturbations_verbose > 1) { + printf("\nExternal field attractor ICs at z=%e. Standard solution for grav. field, h = (k tau)^2.\n",z_ref); + if(x_growth_smg<=3) { + printf(" smg evolves on standard attractor in external field with x_smg = k^2 tau^3;\n\n"); + } + else{ + printf(" tachyonic instability in smg dominates, x_smg = k^2 tau^n with n=%f.\n",x_growth_smg); + printf(" smg is sensitive to its initial conditions at end of inflation.\n"); + } + } + + class_test_except(ppr->pert_ic_tolerance_smg>0 && (x_growth_smg > 3.+ppr->pert_ic_tolerance_smg), + ppt->error_message, + free(pvecback), + "\n Cannot set initial conditions for smg: tachyonic instability dominates superhorizon attractor.\n"); + + free(pvecback); + + // If we get here, then initialise modes and evolve them! + + return _SUCCESS_; +} + + +/** + * Calculate the amplitude of x_smg in ext_field_attr ICs, both for + * adiabatic and isocurvature. Since the scalar does not backreact, + * the different Ad and ISOcurv solutions differ only by the exponent + * in h, h = C*tau^n. The only n-dependent terms are in B3 and amplitude. + * + * @param params Input: necessary parameters to calculate the amplitude + * @param amplitude Output: amplitude of x_smg + * @return the error status + */ +int calc_extfld_ampl_smg( + int nexpo, double kin, double bra, double dbra, + double run, double ten, double DelM2, double Omx, + double wx, double l1, double l2, double l3, + double l4, double l5, double l6,double l7,double l8, + double cs2num, double Dd, double ic_regulator_smg, + double * amplitude + ) { + + /* Solutions assuming the alphas are small, i.e. x_smg does not gravitate but moves + * on an attractor provided by collapsing radiation. (w!=1/3 terms included properly here!) + // We have already tested for an RD tachyon at z=pert_ic_ini_z_ref_smg and it wasn't there. + * We can thus assume that h has the standard solution (tau^2 for adiabatic) + * and solve the x_smg e.o.m. assuming C1=C2=0. + * + * x_smg = C1 tau^n1 + C2 tau^n2 + A k^2 tau^n + * + * This requires that if the tachyon has appeared at some later time, the system will be moving into it slowly. + * + * We do not correct any other fields, since it would be inconsistent to include them + * here, but not in the calculation of the exponent. If this is importnant, use gravitating_attr ICs. + * + * + * The on-attractor solution for the scalar velocity x_smg is x_smg = amplitude * k^2 tau^n * ppr->curvature_ini + * with amplitude = -B3/(6 + 3*B1 + B2). + */ + + double B1_smg, B2_smg, B3_smg, B3num_smg, B3denom_smg; + double den1, den2, den3, den4, reg_rescaled; + + reg_rescaled = ic_regulator_smg*(fabs(bra)+fabs(kin)+fabs(l1)); //rescale the regulator to be proportional to the alphas + + den1 = (2.*(-2 + bra)*(kin + l1)); + if(reg_rescaled>0 && (fabs(den1)0 && (fabs(den2)0 && (fabs(den3)0 && (fabs(den4) arXiv:1909.01828 > For more details on the hi_class course please visit the websites -> +> > hiclass-code.net > class-code.net -> +> > Check out section "Resources" of the hi-class website for additional materials @@ -49,12 +49,12 @@ be inferred by the code using the closure equation (see the "explanatory.ini" file for details on perfect fluid options) -Omega_Lambda = 0 +Omega_Lambda = 0 Omega_fld = 0 Omega_smg = -1 -1b) For debugging purposes one can replace Omega_smg -> Omega_smg_debug +1b) For debugging purposes one can replace Omega_smg -> Omega_smg_debug (Omega_smg_debug won't be read unless Omega_smg is left unspecified). In this case the code will not attempt to adjust Omega_smg, the closure relation will not be satisfied, unless the guessed parameters are correct @@ -67,7 +67,7 @@ Omega_smg = -1 ---------------------------------- 2) hi_class can handle two types of gravity models - i) covariant theories are based on a scalar-tensor Lagrangian (see Bellini+ 1909.01828) + i) covariant theories are based on a scalar-tensor Lagrangian (see Bellini+ 1909.01828) ii) parameterized modifications of gravity are based on the EFT of DE (see Zumalacarregui+ 1605.06102) The theory of gravity is specified through "gravity_model" with parameter values in "parameters_smg". For parameterizations, one needs to specify an additional "expansion_model" with parameters "expansion_smg" (see below) @@ -83,8 +83,8 @@ Omega_smg = -1 The parameters of each covariant theory are explained in a separate "theory_name.ini" file located in the "gravity_models" directory -#gravity_model = brans dicke -#parameters_smg = 0.7, 50, 1., 0 +#gravity_model = brans dicke +#parameters_smg = 0.7, 50, 1., 1. 2b) For parameterizations the theory of gravity is described by the alpha functions at the linear level. @@ -170,7 +170,7 @@ output_background_smg = 10 3a) The absence of ghost and gradient instabilities is tested in the code for both scalars and tensors. It is possible to avoid these tests altoghether by changing -skip_stability_tests_smg = no +skip_stability_tests_smg = no 3b) If skip_stability_tests_smg is set to no, it is possible to relax the stability conditions to accept slightly negative values (moslty to avoid numerical noise around 0). @@ -200,10 +200,10 @@ a_min_stability_test_smg = 0 to avoid problems associated with having different branches and constraint violations due to numerical integration. The constraint acts as a friction term i) evolve the dynamical equation (change uses the constraint equation and will NOT work for most Lagrangian-based theories) - ii) coefficient to the constraint-damping friction term + ii) coefficient to the constraint-damping friction term -hubble_evolution = y -hubble_friction = 3. +hubble_evolution = y +hubble_friction = 3. ------------------------------------------------- @@ -220,20 +220,20 @@ hubble_friction = 3. pert_initial_conditions_smg = ext_field_attr -5b) Precision parameters used to set/test initial conditions: for certain choices of parameters models, - it may well be that a new fast growing mode appears. This would then dominate the initial evolution +5b) Precision parameters used to set/test initial conditions: for certain choices of parameters models, + it may well be that a new fast growing mode appears. This would then dominate the initial evolution and decouple the initial conditions from those given by inflation. We test to disallow such situations. i) pert_ic_ini_z_ref_smg -> redshift at which initial IC stability test performed */ ii) pert_ic_tolerance_smg -> tolerance to deviations from standard ICs h~tau^2 as evaluated at redshift pert_ic_ini_z_ref_smg (negative values override test) iii) pert_ic_regulator_smg -> minimum size of denominator in IC expressions: regulate to prevent infinities (negative values set off regulator) iv) pert_qs_ic_tolerance_test_smg -> Max contribution of QS SMG at superhorizon scales to zeta non-conservation as fraction of standard contributon from radiation - - -pert_ic_ini_z_ref_smg = 1e10 -pert_ic_tolerance_smg = 2e-2 + + +pert_ic_ini_z_ref_smg = 1e10 +pert_ic_tolerance_smg = 2e-2 pert_ic_regulator_smg = 1e-15 pert_qs_ic_tolerance_test_smg = 10 - + -------------------------------------------- ----> quasi-static approximation parameters: @@ -256,17 +256,17 @@ method_qs_smg = fully_dynamic iv) eps_s_qs_smg -> minimum relative decay of oscillating solution before switching on quasi-static approximation Note that all the conditions need to be satisfied for the quasi-static approximation to be used -z_fd_qs_smg = 10. -trigger_mass_qs_smg = 1.e3 -trigger_rad_qs_smg = 1.e3 +z_fd_qs_smg = 10. +trigger_mass_qs_smg = 1.e3 +trigger_rad_qs_smg = 1.e3 eps_s_qs_smg = 0.01 6c) Sampling to determine intervals for quasi-static approximation - i) n_min_qs_smg -> minimum number of steps used to sample quantities in the quasi-static approximation - ii) n_max_qs_smg -> maximum number of steps used to sample quantities in the quasi-static approximation - -n_min_qs_smg = 1e2 -n_max_qs_smg = 1e4 + i) n_min_qs_smg -> minimum number of steps used to sample quantities in the quasi-static approximation + ii) n_max_qs_smg -> maximum number of steps used to sample quantities in the quasi-static approximation + +n_min_qs_smg = 1e2 +n_max_qs_smg = 1e4 --------------------------- @@ -292,7 +292,7 @@ n_max_qs_smg = 1e4 start_small_k_at_tau_c_over_tau_h = 1e-4 start_large_k_at_tau_h_over_tau_k = 1e-4 -perturb_sampling_stepsize = 0.05 +perturbations_sampling_stepsize = 0.05 l_logstep = 1.045 l_linstep = 50 @@ -310,20 +310,26 @@ output = tCl,pCl,lCl,mPk 8b) file name root 'root' for all output files -root = output/test_ +root = output/test +overwrite_root = yes 8c) Do you want to write a file with the input parameters you used? Do you want to write a table of background quantitites in a file? -write parameters = yeap -write background = yeah +write_parameters = yeap +write_background = yeah k_output_values = 0.1, 0.01, 0.0001 8d) Verbose parameters input_verbose = 1 background_verbose = 1 -output_verbose = 1 thermodynamics_verbose = 1 perturbations_verbose = 1 -spectra_verbose = 1 +transfer_verbose = 1 +primordial_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 +lensing_verbose = 1 +distortions_verbose = 1 +output_verbose = 1 diff --git a/hyrec/Alpha_inf.dat b/hyrec/Alpha_inf.dat deleted file mode 100644 index 3fae8b09..00000000 --- a/hyrec/Alpha_inf.dat +++ /dev/null @@ -1,4000 +0,0 @@ - 6.0915545e-12 5.5735114e-11 - 5.4363309e-12 4.7677140e-11 - 4.9520194e-12 4.1925958e-11 - 4.5754201e-12 3.7588861e-11 - 4.2718516e-12 3.4186367e-11 - 4.0204787e-12 3.1436457e-11 - 3.8079302e-12 2.9161701e-11 - 3.6251808e-12 2.7244566e-11 - 3.4658896e-12 2.5603878e-11 - 3.3254542e-12 2.4181682e-11 - 3.2004429e-12 2.2935428e-11 - 3.0882372e-12 2.1833107e-11 - 2.9868004e-12 2.0850160e-11 - 2.8945211e-12 1.9967416e-11 - 2.8101057e-12 1.9169664e-11 - 2.7325022e-12 1.8444685e-11 - 2.6608452e-12 1.7782520e-11 - 2.5944154e-12 1.7174995e-11 - 2.5326095e-12 1.6615326e-11 - 2.4749172e-12 1.6097812e-11 - 2.4209036e-12 1.5617655e-11 - 2.3701952e-12 1.5170759e-11 - 2.3224698e-12 1.4753633e-11 - 2.2774470e-12 1.4363249e-11 - 2.2348823e-12 1.3997002e-11 - 2.1945607e-12 1.3652613e-11 - 2.1562926e-12 1.3328083e-11 - 2.1199104e-12 1.3021664e-11 - 2.0852645e-12 1.2731804e-11 - 2.0522218e-12 1.2457129e-11 - 2.0206627e-12 1.2196419e-11 - 1.9904798e-12 1.1948582e-11 - 1.9615764e-12 1.1712638e-11 - 1.9338648e-12 1.1487708e-11 - 1.9072656e-12 1.1272996e-11 - 1.8817066e-12 1.1067788e-11 - 1.8571219e-12 1.0871435e-11 - 1.8334514e-12 1.0683342e-11 - 1.8106399e-12 1.0502974e-11 - 1.7886370e-12 1.0329839e-11 - 5.9611031e-12 5.4202236e-11 - 5.3193387e-12 4.6363395e-11 - 4.8449393e-12 4.0767469e-11 - 4.4760502e-12 3.6547009e-11 - 4.1787080e-12 3.3235847e-11 - 3.9325031e-12 3.0559705e-11 - 3.7243361e-12 2.8345971e-11 - 3.5453644e-12 2.6480297e-11 - 3.3893754e-12 2.4883679e-11 - 3.2518594e-12 2.3499732e-11 - 3.1294537e-12 2.2287024e-11 - 3.0195926e-12 2.1214420e-11 - 2.9202802e-12 2.0258002e-11 - 2.8299378e-12 1.9399116e-11 - 2.7472978e-12 1.8622950e-11 - 2.6713296e-12 1.7917608e-11 - 2.6011852e-12 1.7273411e-11 - 2.5361602e-12 1.6682393e-11 - 2.4756635e-12 1.6137941e-11 - 2.4191952e-12 1.5634517e-11 - 2.3663293e-12 1.5167450e-11 - 2.3167000e-12 1.4732759e-11 - 2.2699916e-12 1.4327029e-11 - 2.2259296e-12 1.3947327e-11 - 2.1842744e-12 1.3591112e-11 - 2.1448154e-12 1.3256165e-11 - 2.1073672e-12 1.2940544e-11 - 2.0717651e-12 1.2642544e-11 - 2.0378630e-12 1.2360658e-11 - 2.0055304e-12 1.2093547e-11 - 1.9746502e-12 1.1840022e-11 - 1.9451172e-12 1.1599022e-11 - 1.9168367e-12 1.1369591e-11 - 1.8897229e-12 1.1150878e-11 - 1.8636979e-12 1.0942105e-11 - 1.8386911e-12 1.0742579e-11 - 1.8146380e-12 1.0551667e-11 - 1.7914797e-12 1.0368791e-11 - 1.7691622e-12 1.0193430e-11 - 1.7476361e-12 1.0025106e-11 - 5.8337663e-12 5.2714403e-11 - 5.2051141e-12 4.5087571e-11 - 4.7403792e-12 3.9642049e-11 - 4.3790108e-12 3.5534684e-11 - 4.0877431e-12 3.2312148e-11 - 3.8465812e-12 2.9707614e-11 - 3.6426904e-12 2.7553138e-11 - 3.4674063e-12 2.5737442e-11 - 3.3146408e-12 2.4183649e-11 - 3.1799750e-12 2.2836866e-11 - 3.0601133e-12 2.1656772e-11 - 2.9525412e-12 2.0613043e-11 - 2.8553031e-12 1.9682418e-11 - 2.7668517e-12 1.8846723e-11 - 2.6859451e-12 1.8091546e-11 - 2.6115735e-12 1.7405302e-11 - 2.5429062e-12 1.6778573e-11 - 2.4792529e-12 1.6203597e-11 - 2.4200346e-12 1.5673949e-11 - 2.3647616e-12 1.5184230e-11 - 2.3130164e-12 1.4729896e-11 - 2.2644410e-12 1.4307064e-11 - 2.2187258e-12 1.3912419e-11 - 2.1756022e-12 1.3543108e-11 - 2.1348352e-12 1.3196647e-11 - 2.0962187e-12 1.2870883e-11 - 2.0595710e-12 1.2563926e-11 - 2.0247309e-12 1.2274115e-11 - 1.9915552e-12 1.1999982e-11 - 1.9599161e-12 1.1740227e-11 - 1.9296989e-12 1.1493692e-11 - 1.9008006e-12 1.1259339e-11 - 1.8731284e-12 1.1036245e-11 - 1.8465983e-12 1.0823579e-11 - 1.8211342e-12 1.0620583e-11 - 1.7966667e-12 1.0426585e-11 - 1.7731327e-12 1.0240962e-11 - 1.7504746e-12 1.0063160e-11 - 1.7286395e-12 9.8926682e-12 - 1.7075790e-12 9.7290216e-12 - 5.7094677e-12 5.1269844e-11 - 5.0935910e-12 4.3848280e-11 - 4.6382796e-12 3.8548559e-11 - 4.2842469e-12 3.4550902e-11 - 3.9989058e-12 3.1414397e-11 - 3.7626650e-12 2.8879386e-11 - 3.5629477e-12 2.6782481e-11 - 3.3912631e-12 2.5015349e-11 - 3.2416447e-12 2.3503169e-11 - 3.1097615e-12 2.2192508e-11 - 2.9923834e-12 2.1044114e-11 - 2.8870462e-12 2.0028468e-11 - 2.7918331e-12 1.9122914e-11 - 2.7052281e-12 1.8309768e-11 - 2.6260140e-12 1.7575001e-11 - 2.5532013e-12 1.6907326e-11 - 2.4859762e-12 1.6297583e-11 - 2.4236623e-12 1.5738214e-11 - 2.3656924e-12 1.5222965e-11 - 2.3115866e-12 1.4746572e-11 - 2.2609360e-12 1.4304618e-11 - 2.2133897e-12 1.3893323e-11 - 2.1686445e-12 1.3509462e-11 - 2.1264372e-12 1.3150253e-11 - 2.0865377e-12 1.2813282e-11 - 2.0487440e-12 1.2496450e-11 - 2.0128781e-12 1.2197921e-11 - 1.9787821e-12 1.1916074e-11 - 1.9463158e-12 1.1649481e-11 - 1.9153539e-12 1.1396882e-11 - 1.8857841e-12 1.1157141e-11 - 1.8575057e-12 1.0929257e-11 - 1.8304276e-12 1.0712328e-11 - 1.8044676e-12 1.0505540e-11 - 1.7795511e-12 1.0308162e-11 - 1.7556102e-12 1.0119538e-11 - 1.7325833e-12 9.9390626e-12 - 1.7104137e-12 9.7661964e-12 - 1.6890497e-12 9.6004385e-12 - 1.6684440e-12 9.4413416e-12 - 5.5881331e-12 4.9866943e-11 - 4.9847048e-12 4.2644207e-11 - 4.5385822e-12 3.7485894e-11 - 4.1917050e-12 3.3594730e-11 - 3.9121460e-12 3.0541731e-11 - 3.6807075e-12 2.8074277e-11 - 3.4850638e-12 2.6033300e-11 - 3.3168929e-12 2.4313371e-11 - 3.1703468e-12 2.2841646e-11 - 3.0411800e-12 2.1566104e-11 - 2.9262267e-12 2.0448531e-11 - 2.8230713e-12 1.9460187e-11 - 2.7298354e-12 1.8579015e-11 - 2.6450329e-12 1.7787799e-11 - 2.5674713e-12 1.7072875e-11 - 2.4961808e-12 1.6423271e-11 - 2.4303640e-12 1.5830042e-11 - 2.3693580e-12 1.5285853e-11 - 2.3126071e-12 1.4784603e-11 - 2.2596412e-12 1.4321181e-11 - 2.2100595e-12 1.3891266e-11 - 2.1635182e-12 1.3491195e-11 - 2.1197203e-12 1.3117822e-11 - 2.0784079e-12 1.2768438e-11 - 2.0393555e-12 1.2440697e-11 - 2.0023653e-12 1.2132556e-11 - 1.9672629e-12 1.1842222e-11 - 1.9338936e-12 1.1568121e-11 - 1.9021200e-12 1.1308866e-11 - 1.8718194e-12 1.1063223e-11 - 1.8428820e-12 1.0830095e-11 - 1.8152088e-12 1.0608503e-11 - 1.7887109e-12 1.0397567e-11 - 1.7633076e-12 1.0196498e-11 - 1.7389259e-12 1.0004586e-11 - 1.7154994e-12 9.8211873e-12 - 1.6929676e-12 9.6457206e-12 - 1.6712751e-12 9.4776529e-12 - 1.6503712e-12 9.3165004e-12 - 1.6302096e-12 9.1618278e-12 - 5.4696901e-12 4.8504135e-11 - 4.8783926e-12 4.1474166e-11 - 4.4412301e-12 3.6453024e-11 - 4.1013325e-12 3.2665240e-11 - 3.8274152e-12 2.9693381e-11 - 3.6006631e-12 2.7291565e-11 - 3.4089954e-12 2.5304952e-11 - 3.2442545e-12 2.3630907e-11 - 3.1007075e-12 2.2198517e-11 - 2.9741927e-12 2.0957116e-11 - 2.8616065e-12 1.9869514e-11 - 2.7605813e-12 1.8907720e-11 - 2.6692756e-12 1.8050267e-11 - 2.5862331e-12 1.7280380e-11 - 2.5102849e-12 1.6584764e-11 - 2.4404807e-12 1.5952722e-11 - 2.3760390e-12 1.5375568e-11 - 2.3163102e-12 1.4846144e-11 - 2.2607498e-12 1.4358512e-11 - 2.2088969e-12 1.3907698e-11 - 2.1603591e-12 1.3489499e-11 - 2.1147993e-12 1.3100346e-11 - 2.0719265e-12 1.2737176e-11 - 2.0314880e-12 1.2397348e-11 - 1.9932629e-12 1.2078587e-11 - 1.9570573e-12 1.1778897e-11 - 1.9227004e-12 1.1496536e-11 - 1.8900408e-12 1.1229973e-11 - 1.8589437e-12 1.0977853e-11 - 1.8292890e-12 1.0738981e-11 - 1.8009689e-12 1.0512282e-11 - 1.7738869e-12 1.0296809e-11 - 1.7479555e-12 1.0091704e-11 - 1.7230959e-12 9.8961988e-12 - 1.6992365e-12 9.7096041e-12 - 1.6763123e-12 9.5312899e-12 - 1.6542640e-12 9.3606907e-12 - 1.6330374e-12 9.1972914e-12 - 1.6125830e-12 9.0406210e-12 - 1.5928552e-12 8.8902533e-12 - 5.3540682e-12 4.7180015e-11 - 4.7745928e-12 4.0336974e-11 - 4.3461675e-12 3.5448988e-11 - 4.0130783e-12 3.1761614e-11 - 3.7446655e-12 2.8868576e-11 - 3.5224871e-12 2.6530549e-11 - 3.3347003e-12 2.4596791e-11 - 3.1733075e-12 2.2967361e-11 - 3.0326884e-12 2.1573215e-11 - 2.9087626e-12 2.0365031e-11 - 2.7984873e-12 1.9306577e-11 - 2.6995416e-12 1.8370612e-11 - 2.6101204e-12 1.7536224e-11 - 2.5287962e-12 1.6787084e-11 - 2.4544234e-12 1.6110244e-11 - 2.3860705e-12 1.5495298e-11 - 2.3229715e-12 1.4933776e-11 - 2.2644900e-12 1.4418713e-11 - 2.2100920e-12 1.3944333e-11 - 2.1593262e-12 1.3505787e-11 - 2.1118077e-12 1.3098986e-11 - 2.0672063e-12 1.2720454e-11 - 2.0252369e-12 1.2367207e-11 - 1.9856518e-12 1.2036683e-11 - 1.9482345e-12 1.1726656e-11 - 1.9127952e-12 1.1435187e-11 - 1.8791664e-12 1.1160583e-11 - 1.8471996e-12 1.0901350e-11 - 1.8167631e-12 1.0656172e-11 - 1.7877391e-12 1.0423884e-11 - 1.7600221e-12 1.0203443e-11 - 1.7335172e-12 9.9939217e-12 - 1.7081391e-12 9.7944886e-12 - 1.6838104e-12 9.6043952e-12 - 1.6604612e-12 9.4229715e-12 - 1.6380275e-12 9.2496033e-12 - 1.6164515e-12 9.0837408e-12 - 1.5956800e-12 8.9248826e-12 - 1.5756645e-12 8.7725717e-12 - 1.5563604e-12 8.6263893e-12 - 5.2411989e-12 4.5893230e-11 - 4.6732454e-12 3.9231511e-11 - 4.2533403e-12 3.4472837e-11 - 3.9268924e-12 3.0883003e-11 - 3.6638506e-12 2.8066587e-11 - 3.4461359e-12 2.5790582e-11 - 3.2621371e-12 2.3908218e-11 - 3.1040128e-12 2.2322179e-11 - 2.9662518e-12 2.0965231e-11 - 2.8448532e-12 1.9789345e-11 - 2.7368340e-12 1.8759253e-11 - 2.6399185e-12 1.7848409e-11 - 2.5523372e-12 1.7036464e-11 - 2.4726907e-12 1.6307508e-11 - 2.3998560e-12 1.5648937e-11 - 2.3329203e-12 1.5050622e-11 - 2.2711325e-12 1.4504308e-11 - 2.2138688e-12 1.4003222e-11 - 2.1606061e-12 1.3541731e-11 - 2.1109017e-12 1.3115121e-11 - 2.0643786e-12 1.2719408e-11 - 2.0207132e-12 1.2351209e-11 - 1.9796259e-12 1.2007621e-11 - 1.9408741e-12 1.1686143e-11 - 1.9042457e-12 1.1384613e-11 - 1.8695546e-12 1.1101143e-11 - 1.8366368e-12 1.0834086e-11 - 1.8053467e-12 1.0581987e-11 - 1.7755553e-12 1.0343562e-11 - 1.7471472e-12 1.0117678e-11 - 1.7200190e-12 9.9033228e-12 - 1.6940778e-12 9.6995913e-12 - 1.6692400e-12 9.5056786e-12 - 1.6454299e-12 9.3208511e-12 - 1.6225788e-12 9.1444548e-12 - 1.6006242e-12 8.9759003e-12 - 1.5795095e-12 8.8146470e-12 - 1.5591824e-12 8.6602058e-12 - 1.5395956e-12 8.5121340e-12 - 1.5207053e-12 8.3700248e-12 - 5.1310153e-12 4.4642449e-11 - 4.5742917e-12 3.8156767e-11 - 4.1626952e-12 3.3523685e-11 - 3.8427261e-12 3.0028665e-11 - 3.5849253e-12 2.7286734e-11 - 3.3715670e-12 2.5071030e-11 - 3.1912657e-12 2.3238646e-11 - 3.0363318e-12 2.1694811e-11 - 2.9013607e-12 2.0374050e-11 - 2.7824293e-12 1.9229596e-11 - 2.6766124e-12 1.8227090e-11 - 2.5816789e-12 1.7340690e-11 - 2.4958940e-12 1.6550576e-11 - 2.4178856e-12 1.5841260e-11 - 2.3465529e-12 1.5200468e-11 - 2.2810008e-12 1.4618329e-11 - 2.2204934e-12 1.4086815e-11 - 2.1644191e-12 1.3599324e-11 - 2.1122648e-12 1.3150376e-11 - 2.0635970e-12 1.2735382e-11 - 2.0180459e-12 1.2350459e-11 - 1.9752944e-12 1.1992312e-11 - 1.9350686e-12 1.1658118e-11 - 1.8971305e-12 1.1345443e-11 - 1.8612724e-12 1.1052181e-11 - 1.8273120e-12 1.0776496e-11 - 1.7950883e-12 1.0516779e-11 - 1.7644591e-12 1.0271617e-11 - 1.7352976e-12 1.0039766e-11 - 1.7074909e-12 9.8201129e-12 - 1.6809377e-12 9.6116797e-12 - 1.6555471e-12 9.4135827e-12 - 1.6312370e-12 9.2250354e-12 - 1.6079332e-12 9.0453308e-12 - 1.5855686e-12 8.8738297e-12 - 1.5640821e-12 8.7099555e-12 - 1.5434178e-12 8.5531847e-12 - 1.5235248e-12 8.4030416e-12 - 1.5043567e-12 8.2590938e-12 - 1.4858706e-12 8.1209460e-12 - 5.0234523e-12 4.3426480e-11 - 4.4776744e-12 3.7111721e-11 - 4.0741806e-12 3.2600691e-11 - 3.7605318e-12 2.9197829e-11 - 3.5078451e-12 2.6528333e-11 - 3.2987386e-12 2.4371288e-11 - 3.1220465e-12 2.2587521e-11 - 2.9702268e-12 2.1084743e-11 - 2.8379792e-12 1.9799192e-11 - 2.7214562e-12 1.8685315e-11 - 2.6177893e-12 1.7709651e-11 - 2.5247909e-12 1.6847033e-11 - 2.4407597e-12 1.6078164e-11 - 2.3643507e-12 1.5387960e-11 - 2.2944846e-12 1.4764462e-11 - 2.2302837e-12 1.4198069e-11 - 2.1710266e-12 1.3680954e-11 - 2.1161135e-12 1.3206697e-11 - 2.0650417e-12 1.2769954e-11 - 2.0173861e-12 1.2366260e-11 - 1.9727841e-12 1.1991835e-11 - 1.9309250e-12 1.1643470e-11 - 1.8915404e-12 1.1318417e-11 - 1.8543969e-12 1.1014309e-11 - 1.8192910e-12 1.0729090e-11 - 1.7860440e-12 1.0460976e-11 - 1.7544983e-12 1.0208403e-11 - 1.7245143e-12 9.9699938e-12 - 1.6959680e-12 9.7445346e-12 - 1.6687486e-12 9.5309469e-12 - 1.6427570e-12 9.3282742e-12 - 1.6179039e-12 9.1356582e-12 - 1.5941092e-12 8.9523329e-12 - 1.5713000e-12 8.7776129e-12 - 1.5494106e-12 8.6108730e-12 - 1.5283811e-12 8.4515506e-12 - 1.5081568e-12 8.2991422e-12 - 1.4886879e-12 8.1531802e-12 - 1.4699287e-12 8.0132431e-12 - 1.4518374e-12 7.8789501e-12 - 4.9184462e-12 4.2244164e-11 - 4.3833377e-12 3.6095463e-11 - 3.9877458e-12 3.1703048e-11 - 3.6802630e-12 2.8389795e-11 - 3.4325670e-12 2.5790751e-11 - 3.2276103e-12 2.3690768e-11 - 3.0544409e-12 2.1954303e-11 - 2.9056610e-12 2.0491476e-11 - 2.7760719e-12 1.9240183e-11 - 2.6619000e-12 1.8156056e-11 - 2.5603321e-12 1.7206514e-11 - 2.4692228e-12 1.6367043e-11 - 2.3869040e-12 1.5618850e-11 - 2.3120567e-12 1.4947241e-11 - 2.2436226e-12 1.4340577e-11 - 2.1807411e-12 1.3789504e-11 - 2.1227047e-12 1.3286403e-11 - 2.0689256e-12 1.2825022e-11 - 2.0189109e-12 1.2400155e-11 - 1.9722435e-12 1.2007456e-11 - 1.9285683e-12 1.1643247e-11 - 1.8875807e-12 1.1304402e-11 - 1.8490173e-12 1.0988245e-11 - 1.8126497e-12 1.0692471e-11 - 1.7782784e-12 1.0415080e-11 - 1.7457280e-12 1.0154335e-11 - 1.7148443e-12 9.9087122e-12 - 1.6854904e-12 9.6768714e-12 - 1.6575449e-12 9.4576316e-12 - 1.6308991e-12 9.2499428e-12 - 1.6054558e-12 9.0528750e-12 - 1.5811279e-12 8.8655914e-12 - 1.5578365e-12 8.6873501e-12 - 1.5355104e-12 8.5174772e-12 - 1.5140851e-12 8.3553687e-12 - 1.4935019e-12 8.2004794e-12 - 1.4737073e-12 8.0523127e-12 - 1.4546526e-12 7.9104169e-12 - 1.4362928e-12 7.7743865e-12 - 1.4185871e-12 7.6438415e-12 - 4.8159352e-12 4.1094417e-11 - 4.2912270e-12 3.5107059e-11 - 3.9033415e-12 3.0829985e-11 - 3.6018744e-12 2.7603891e-11 - 3.3590487e-12 2.5073377e-11 - 3.1581423e-12 2.3028908e-11 - 2.9884112e-12 2.1338477e-11 - 2.8425986e-12 1.9914526e-11 - 2.7156045e-12 1.8696569e-11 - 2.6037276e-12 1.7641396e-11 - 2.5042088e-12 1.6717275e-11 - 2.4149440e-12 1.5900330e-11 - 2.3342971e-12 1.5172254e-11 - 2.2609747e-12 1.4518747e-11 - 2.1939388e-12 1.3928467e-11 - 2.1323456e-12 1.3392304e-11 - 2.0755013e-12 1.2902842e-11 - 2.0228295e-12 1.2453988e-11 - 1.9738468e-12 1.2040681e-11 - 1.9281444e-12 1.1658684e-11 - 1.8853743e-12 1.1304415e-11 - 1.8452375e-12 1.0974835e-11 - 1.8074761e-12 1.0667334e-11 - 1.7718661e-12 1.0379670e-11 - 1.7382120e-12 1.0109896e-11 - 1.7063419e-12 9.8563204e-12 - 1.6761047e-12 9.6174613e-12 - 1.6473662e-12 9.3920124e-12 - 1.6200072e-12 9.1788219e-12 - 1.5939216e-12 8.9768757e-12 - 1.5690140e-12 8.7852598e-12 - 1.5451989e-12 8.6031681e-12 - 1.5223990e-12 8.4298691e-12 - 1.5005447e-12 8.2647149e-12 - 1.4795727e-12 8.1071125e-12 - 1.4594255e-12 7.9565343e-12 - 1.4400507e-12 7.8124950e-12 - 1.4214004e-12 7.6745571e-12 - 1.4034308e-12 7.5423232e-12 - 1.3861018e-12 7.4154265e-12 - 4.7158589e-12 3.9976210e-11 - 4.2012889e-12 3.4145664e-11 - 3.8209197e-12 2.9980753e-11 - 3.5253220e-12 2.6839454e-11 - 3.2872491e-12 2.4375622e-11 - 3.0902957e-12 2.2385182e-11 - 2.9239206e-12 2.0739538e-11 - 2.7810042e-12 1.9353421e-11 - 2.6565432e-12 1.8167912e-11 - 2.5469069e-12 1.7140923e-11 - 2.4493886e-12 1.6241540e-11 - 2.3619245e-12 1.5446521e-11 - 2.2829101e-12 1.4738032e-11 - 2.2110766e-12 1.4102139e-11 - 2.1454059e-12 1.3527804e-11 - 2.0850707e-12 1.3006151e-11 - 2.0293903e-12 1.2529965e-11 - 1.9777997e-12 1.2093306e-11 - 1.9298247e-12 1.1691247e-11 - 1.8850646e-12 1.1319664e-11 - 1.8431781e-12 1.0975070e-11 - 1.8038721e-12 1.0654503e-11 - 1.7668938e-12 1.0355425e-11 - 1.7320237e-12 1.0075654e-11 - 1.6990698e-12 9.8132913e-12 - 1.6678641e-12 9.5666940e-12 - 1.6382582e-12 9.3344129e-12 - 1.6101206e-12 9.1151843e-12 - 1.5833346e-12 8.9078855e-12 - 1.5577961e-12 8.7115240e-12 - 1.5334116e-12 8.5252151e-12 - 1.5100972e-12 8.3481714e-12 - 1.4877775e-12 8.1796829e-12 - 1.4663840e-12 8.0191174e-12 - 1.4458547e-12 7.8659017e-12 - 1.4261333e-12 7.7195149e-12 - 1.4071685e-12 7.5794926e-12 - 1.3889133e-12 7.4454065e-12 - 1.3713248e-12 7.3168650e-12 - 1.3543636e-12 7.1935200e-12 - 4.6181582e-12 3.8888556e-11 - 4.1134716e-12 3.3210474e-11 - 3.7404334e-12 2.9154662e-11 - 3.4505624e-12 2.6095850e-11 - 3.2171278e-12 2.3696918e-11 - 3.0240325e-12 2.1759054e-11 - 2.8609330e-12 2.0157010e-11 - 2.7208435e-12 1.8807717e-11 - 2.5988552e-12 1.7653791e-11 - 2.4914061e-12 1.6654232e-11 - 2.3958409e-12 1.5778933e-11 - 2.3101351e-12 1.5005259e-11 - 2.2327145e-12 1.4315826e-11 - 2.1623348e-12 1.3697081e-11 - 2.0979972e-12 1.3138267e-11 - 2.0388902e-12 1.2630740e-11 - 1.9843464e-12 1.2167470e-11 - 1.9338113e-12 1.1742680e-11 - 1.8868203e-12 1.1351570e-11 - 1.8429803e-12 1.0990122e-11 - 1.8019565e-12 1.0654944e-11 - 1.7634617e-12 1.0343149e-11 - 1.7272481e-12 1.0052269e-11 - 1.6931004e-12 9.7801761e-12 - 1.6608305e-12 9.5250284e-12 - 1.6302735e-12 9.2852207e-12 - 1.6012840e-12 9.0593432e-12 - 1.5737333e-12 8.8461672e-12 - 1.5475069e-12 8.6445978e-12 - 1.5225027e-12 8.4536713e-12 - 1.4986291e-12 8.2725260e-12 - 1.4758039e-12 8.1003936e-12 - 1.4539531e-12 7.9365877e-12 - 1.4330096e-12 7.7804879e-12 - 1.4129128e-12 7.6315390e-12 - 1.3936073e-12 7.4892340e-12 - 1.3750429e-12 7.3531178e-12 - 1.3571735e-12 7.2227777e-12 - 1.3399572e-12 7.0978324e-12 - 1.3233553e-12 6.9779390e-12 - 4.5227757e-12 3.7830464e-11 - 4.0277243e-12 3.2300684e-11 - 3.6618368e-12 2.8351022e-11 - 3.3775536e-12 2.5372501e-11 - 3.1486455e-12 2.3036714e-11 - 2.9593155e-12 2.1150033e-11 - 2.7994131e-12 1.9590424e-11 - 2.6620830e-12 1.8276983e-11 - 2.5425085e-12 1.7153799e-11 - 2.4371946e-12 1.6180942e-11 - 2.3435362e-12 1.5329089e-11 - 2.2595470e-12 1.4576187e-11 - 2.1836827e-12 1.3905310e-11 - 2.1147224e-12 1.3303255e-11 - 2.0516864e-12 1.2759548e-11 - 1.9937787e-12 1.2265767e-11 - 1.9403445e-12 1.1815074e-11 - 1.8908401e-12 1.1401835e-11 - 1.8448098e-12 1.1021380e-11 - 1.8018681e-12 1.0669797e-11 - 1.7616868e-12 1.0343781e-11 - 1.7239842e-12 1.0040527e-11 - 1.6885172e-12 9.7576239e-12 - 1.6550749e-12 9.4930065e-12 - 1.6234729e-12 9.2448767e-12 - 1.5935495e-12 9.0116743e-12 - 1.5651621e-12 8.7920294e-12 - 1.5381845e-12 8.5847435e-12 - 1.5125046e-12 8.3887506e-12 - 1.4880222e-12 8.2031111e-12 - 1.4646475e-12 8.0269914e-12 - 1.4423001e-12 7.8596405e-12 - 1.4209073e-12 7.7003878e-12 - 1.4004034e-12 7.5486333e-12 - 1.3807289e-12 7.4038350e-12 - 1.3618296e-12 7.2654996e-12 - 1.3436563e-12 7.1331868e-12 - 1.3261638e-12 7.0064903e-12 - 1.3093109e-12 6.8850422e-12 - 1.2930599e-12 6.7685078e-12 - 4.4296553e-12 3.6801091e-11 - 3.9439977e-12 3.1415564e-11 - 3.5850853e-12 2.7569190e-11 - 3.3062545e-12 2.4668805e-11 - 3.0817637e-12 2.2394497e-11 - 2.8961085e-12 2.0557630e-11 - 2.7393265e-12 1.9039339e-11 - 2.6046898e-12 1.7760799e-11 - 2.4874716e-12 1.6667542e-11 - 2.3842423e-12 1.5720682e-11 - 2.2924456e-12 1.4891650e-11 - 2.2101324e-12 1.4158969e-11 - 2.1357876e-12 1.3506155e-11 - 2.0682132e-12 1.2920348e-11 - 2.0064480e-12 1.2391344e-11 - 1.9497111e-12 1.1910949e-11 - 1.8973604e-12 1.1472493e-11 - 1.8488624e-12 1.1070499e-11 - 1.8037701e-12 1.0700416e-11 - 1.7617055e-12 1.0358434e-11 - 1.7223467e-12 1.0041336e-11 - 1.6854176e-12 9.7463886e-12 - 1.6506798e-12 9.4712509e-12 - 1.6179264e-12 9.2139089e-12 - 1.5869766e-12 8.9726098e-12 - 1.5576719e-12 8.7458365e-12 - 1.5298725e-12 8.5322580e-12 - 1.5034547e-12 8.3307015e-12 - 1.4783085e-12 8.1401351e-12 - 1.4543357e-12 7.9596454e-12 - 1.4314484e-12 7.7884113e-12 - 1.4095676e-12 7.6257124e-12 - 1.3886221e-12 7.4708912e-12 - 1.3685475e-12 7.3233661e-12 - 1.3492854e-12 7.1826054e-12 - 1.3307829e-12 7.0481343e-12 - 1.3129915e-12 6.9195195e-12 - 1.2958671e-12 6.7963685e-12 - 1.2793693e-12 6.6783233e-12 - 1.2634609e-12 6.5650564e-12 - 4.3387422e-12 3.5799540e-11 - 3.8622435e-12 3.0554369e-11 - 3.5101353e-12 2.6808529e-11 - 3.2366246e-12 2.3984203e-11 - 3.0164446e-12 2.1769748e-11 - 2.8343759e-12 1.9981384e-11 - 2.6806395e-12 1.8503320e-11 - 2.5486318e-12 1.7258751e-11 - 2.4337139e-12 1.6194634e-11 - 2.3325197e-12 1.5273087e-11 - 2.2425407e-12 1.4466273e-11 - 2.1618639e-12 1.3753278e-11 - 2.0890026e-12 1.3118049e-11 - 2.0227812e-12 1.2548059e-11 - 1.9622569e-12 1.2033369e-11 - 1.9066632e-12 1.1565999e-11 - 1.8553702e-12 1.1139458e-11 - 1.8078548e-12 1.0748407e-11 - 1.7636784e-12 1.0388420e-11 - 1.7224702e-12 1.0055782e-11 - 1.6839147e-12 9.7473642e-12 - 1.6477409e-12 9.4605047e-12 - 1.6137151e-12 9.1929259e-12 - 1.5816344e-12 8.9426592e-12 - 1.5513215e-12 8.7080095e-12 - 1.5226211e-12 8.4874945e-12 - 1.4953960e-12 8.2798163e-12 - 1.4695249e-12 8.0838384e-12 - 1.4449000e-12 7.8985542e-12 - 1.4214249e-12 7.7230709e-12 - 1.3990136e-12 7.5565954e-12 - 1.3775885e-12 7.3984217e-12 - 1.3570798e-12 7.2479135e-12 - 1.3374245e-12 7.1045005e-12 - 1.3185653e-12 6.9676706e-12 - 1.3004502e-12 6.8369582e-12 - 1.2830318e-12 6.7119423e-12 - 1.2662669e-12 6.5922407e-12 - 1.2501158e-12 6.4775054e-12 - 1.2345421e-12 6.3674195e-12 - 4.2499830e-12 3.4824998e-11 - 3.7824147e-12 2.9716428e-11 - 3.4369443e-12 2.6068445e-11 - 3.1686248e-12 2.3318167e-11 - 2.9526516e-12 2.1161986e-11 - 2.7740830e-12 1.9420850e-11 - 2.6233192e-12 1.7981940e-11 - 2.4938779e-12 1.6770453e-11 - 2.3812056e-12 1.5734709e-11 - 2.2819983e-12 1.4837802e-11 - 2.1937937e-12 1.4052622e-11 - 2.1147147e-12 1.3358794e-11 - 2.0433017e-12 1.2740686e-11 - 1.9784015e-12 1.2186091e-11 - 1.9190885e-12 1.1685339e-11 - 1.8646109e-12 1.1230649e-11 - 1.8143508e-12 1.0815704e-11 - 1.7677947e-12 1.0435309e-11 - 1.7245125e-12 1.0085144e-11 - 1.6841407e-12 9.7616039e-12 - 1.6463695e-12 9.4616352e-12 - 1.6109333e-12 9.1826483e-12 - 1.5776028e-12 8.9224218e-12 - 1.5461791e-12 8.6790463e-12 - 1.5164883e-12 8.4508662e-12 - 1.4883779e-12 8.2364410e-12 - 1.4617137e-12 8.0345074e-12 - 1.4363765e-12 7.8439564e-12 - 1.4122606e-12 7.6638091e-12 - 1.3892717e-12 7.4932006e-12 - 1.3673252e-12 7.3313544e-12 - 1.3463452e-12 7.1775846e-12 - 1.3262632e-12 7.0312718e-12 - 1.3070174e-12 6.8918631e-12 - 1.2885516e-12 6.7588566e-12 - 1.2708149e-12 6.6318005e-12 - 1.2537609e-12 6.5102865e-12 - 1.2373470e-12 6.3939413e-12 - 1.2215345e-12 6.2824274e-12 - 1.2062877e-12 6.1754337e-12 - 4.1633258e-12 3.3876697e-11 - 3.7044655e-12 2.8901062e-11 - 3.3654706e-12 2.5348345e-11 - 3.1022165e-12 2.2670168e-11 - 2.8903485e-12 2.0570725e-11 - 2.7151960e-12 1.8875573e-11 - 2.5673336e-12 1.7474800e-11 - 2.4403975e-12 1.6295527e-11 - 2.3299173e-12 1.5287412e-11 - 2.2326498e-12 1.4414493e-11 - 2.1461778e-12 1.3650378e-11 - 2.0686585e-12 1.2975210e-11 - 1.9986597e-12 1.2373769e-11 - 1.9350492e-12 1.1834165e-11 - 1.8769189e-12 1.1346978e-11 - 1.8235311e-12 1.0904634e-11 - 1.7742793e-12 1.0500978e-11 - 1.7286599e-12 1.0130952e-11 - 1.6862510e-12 9.7903514e-12 - 1.6466957e-12 9.4756648e-12 - 1.6096904e-12 9.1839201e-12 - 1.5749745e-12 8.9125928e-12 - 1.5423230e-12 8.6595254e-12 - 1.5115409e-12 8.4228566e-12 - 1.4824576e-12 8.2009734e-12 - 1.4549236e-12 7.9924734e-12 - 1.4288071e-12 7.7961283e-12 - 1.4039914e-12 7.6108606e-12 - 1.3803727e-12 7.4357155e-12 - 1.3578586e-12 7.2698477e-12 - 1.3363660e-12 7.1125073e-12 - 1.3158207e-12 6.9630227e-12 - 1.2961554e-12 6.8207936e-12 - 1.2773094e-12 6.6852796e-12 - 1.2592279e-12 6.5559929e-12 - 1.2418608e-12 6.4324962e-12 - 1.2251625e-12 6.3143885e-12 - 1.2090915e-12 6.2013089e-12 - 1.1936097e-12 6.0929274e-12 - 1.1786822e-12 5.9889447e-12 - 4.0787199e-12 3.2953836e-11 - 3.6283513e-12 2.8107633e-11 - 3.2956737e-12 2.4647678e-11 - 3.0373621e-12 2.2039713e-11 - 2.8295002e-12 1.9995523e-11 - 2.6576816e-12 1.8345150e-11 - 2.5126513e-12 1.6981515e-11 - 2.3881607e-12 1.5833604e-11 - 2.2798207e-12 1.4852386e-11 - 2.1844469e-12 1.4002832e-11 - 2.0996663e-12 1.3259225e-11 - 2.0236698e-12 1.2602229e-11 - 1.9550516e-12 1.2017013e-11 - 1.8927003e-12 1.1492004e-11 - 1.8357247e-12 1.1018021e-11 - 1.7834008e-12 1.0587695e-11 - 1.7351335e-12 1.0195030e-11 - 1.6904288e-12 9.8350960e-12 - 1.6488725e-12 9.5038075e-12 - 1.6101147e-12 9.1977378e-12 - 1.5738573e-12 8.9139986e-12 - 1.5398447e-12 8.6501270e-12 - 1.5078565e-12 8.4040284e-12 - 1.4777009e-12 8.1738852e-12 - 1.4492109e-12 7.9581303e-12 - 1.4222398e-12 7.7553981e-12 - 1.3966582e-12 7.5644940e-12 - 1.3723517e-12 7.3843660e-12 - 1.3492186e-12 7.2140869e-12 - 1.3271682e-12 7.0528343e-12 - 1.3061190e-12 6.8998781e-12 - 1.2859981e-12 6.7545630e-12 - 1.2667398e-12 6.6163073e-12 - 1.2482844e-12 6.4845826e-12 - 1.2305781e-12 6.3589165e-12 - 1.2135719e-12 6.2388808e-12 - 1.1972211e-12 6.1240882e-12 - 1.1814850e-12 6.0141852e-12 - 1.1663262e-12 5.9088531e-12 - 1.1517105e-12 5.8077965e-12 - 3.9961156e-12 3.2055726e-11 - 3.5540282e-12 2.7335525e-11 - 3.2275137e-12 2.3965902e-11 - 2.9740249e-12 2.1426310e-11 - 2.7700724e-12 1.9435933e-11 - 2.6015075e-12 1.7829165e-11 - 2.4592416e-12 1.6501688e-11 - 2.3371383e-12 1.5384329e-11 - 2.2308876e-12 1.4429301e-11 - 2.1373626e-12 1.3602496e-11 - 2.0542333e-12 1.2878858e-11 - 1.9797236e-12 1.2239552e-11 - 1.9124531e-12 1.1670137e-11 - 1.8513312e-12 1.1159337e-11 - 1.7954829e-12 1.0698213e-11 - 1.7441978e-12 1.0279585e-11 - 1.6968919e-12 9.8976164e-12 - 1.6530802e-12 9.5475110e-12 - 1.6123565e-12 9.2252852e-12 - 1.5743773e-12 8.9276036e-12 - 1.5388504e-12 8.6516543e-12 - 1.5055248e-12 8.3950438e-12 - 1.4741841e-12 8.1557246e-12 - 1.4446405e-12 7.9319340e-12 - 1.4167299e-12 7.7221443e-12 - 1.3903084e-12 7.5250250e-12 - 1.3652493e-12 7.3394151e-12 - 1.3414402e-12 7.1642896e-12 - 1.3187813e-12 6.9987471e-12 - 1.2971836e-12 6.8419850e-12 - 1.2765675e-12 6.6932934e-12 - 1.2568612e-12 6.5520375e-12 - 1.2380002e-12 6.4176466e-12 - 1.2199263e-12 6.2896087e-12 - 1.2025865e-12 6.1674655e-12 - 1.1859328e-12 6.0507987e-12 - 1.1699214e-12 5.9392302e-12 - 1.1545123e-12 5.8324186e-12 - 1.1396690e-12 5.7300520e-12 - 1.1253578e-12 5.6318439e-12 - 3.9154649e-12 3.1181635e-11 - 3.4814537e-12 2.6584145e-11 - 3.1609519e-12 2.3302491e-11 - 2.9121688e-12 2.0829492e-11 - 2.7120313e-12 1.8891511e-11 - 2.5466423e-12 1.7327220e-11 - 2.4070747e-12 1.6034961e-11 - 2.2873019e-12 1.4947346e-11 - 2.1830908e-12 1.4017832e-11 - 2.0913708e-12 1.3213179e-11 - 2.0098535e-12 1.2508987e-11 - 1.9367952e-12 1.1886908e-11 - 1.8708405e-12 1.1332875e-11 - 1.8109188e-12 1.0835907e-11 - 1.7561712e-12 1.0387298e-11 - 1.7059004e-12 9.9800612e-12 - 1.6595331e-12 9.6085081e-12 - 1.6165935e-12 9.2679689e-12 - 1.5766828e-12 8.9545640e-12 - 1.5394641e-12 8.6650476e-12 - 1.5046504e-12 8.3966822e-12 - 1.4719956e-12 8.1471369e-12 - 1.4412875e-12 7.9144196e-12 - 1.4123415e-12 7.6968103e-12 - 1.3849967e-12 7.4928256e-12 - 1.3591121e-12 7.3011709e-12 - 1.3345632e-12 7.1207125e-12 - 1.3112398e-12 6.9504555e-12 - 1.2890440e-12 6.7895199e-12 - 1.2678885e-12 6.6371289e-12 - 1.2476952e-12 6.4925887e-12 - 1.2283938e-12 6.3552797e-12 - 1.2099210e-12 6.2246499e-12 - 1.1922195e-12 6.1002015e-12 - 1.1752377e-12 5.9814841e-12 - 1.1589282e-12 5.8680946e-12 - 1.1432483e-12 5.7596639e-12 - 1.1281586e-12 5.6558599e-12 - 1.1136234e-12 5.5563786e-12 - 1.0996098e-12 5.4609427e-12 - 3.8367208e-12 3.0330921e-11 - 3.4105862e-12 2.5852913e-11 - 3.0959503e-12 2.2656948e-11 - 2.8517587e-12 2.0248800e-11 - 2.6553442e-12 1.8361863e-11 - 2.4930548e-12 1.6838939e-11 - 2.3561213e-12 1.5580975e-11 - 2.2386235e-12 1.4522332e-11 - 2.1364036e-12 1.3617663e-11 - 2.0464455e-12 1.2834580e-11 - 1.9665021e-12 1.2149322e-11 - 1.8948607e-12 1.1544015e-11 - 1.8301906e-12 1.1004959e-11 - 1.7714407e-12 1.0521458e-11 - 1.7177678e-12 1.0085038e-11 - 1.6684872e-12 9.6888904e-12 - 1.6230365e-12 9.3274751e-12 - 1.5809484e-12 8.9962479e-12 - 1.5418317e-12 8.6914310e-12 - 1.5053556e-12 8.4098652e-12 - 1.4712385e-12 8.1488805e-12 - 1.4392389e-12 7.9062111e-12 - 1.4091484e-12 7.6799179e-12 - 1.3807860e-12 7.4683268e-12 - 1.3539939e-12 7.2699927e-12 - 1.3286336e-12 7.0836545e-12 - 1.3045829e-12 6.9082104e-12 - 1.2817338e-12 6.7426894e-12 - 1.2599903e-12 6.5862393e-12 - 1.2392667e-12 6.4381006e-12 - 1.2194864e-12 6.2975990e-12 - 1.2005803e-12 6.1641324e-12 - 1.1824866e-12 6.0371639e-12 - 1.1651490e-12 5.9162050e-12 - 1.1485166e-12 5.8008227e-12 - 1.1325434e-12 5.6906206e-12 - 1.1171872e-12 5.5852445e-12 - 1.1024096e-12 5.4843662e-12 - 1.0881754e-12 5.3876912e-12 - 1.0744522e-12 5.2949507e-12 - 3.7598372e-12 2.9502905e-11 - 3.3413848e-12 2.5141284e-11 - 3.0324716e-12 2.2028768e-11 - 2.7927602e-12 1.9683798e-11 - 2.5999791e-12 1.7846580e-11 - 2.4407152e-12 1.6363934e-11 - 2.3063528e-12 1.5139383e-11 - 2.1910759e-12 1.4108958e-11 - 2.0907998e-12 1.3228479e-11 - 2.0025618e-12 1.2466406e-11 - 1.9241547e-12 1.1799585e-11 - 1.8538966e-12 1.1210611e-11 - 1.7904807e-12 1.0686137e-11 - 1.7328748e-12 1.0215751e-11 - 1.6802512e-12 9.7911951e-12 - 1.6319376e-12 9.4058415e-12 - 1.5873819e-12 9.0542973e-12 - 1.5461254e-12 8.7321354e-12 - 1.5077841e-12 8.4356792e-12 - 1.4720332e-12 8.1618497e-12 - 1.4385963e-12 7.9080499e-12 - 1.4072365e-12 7.6720760e-12 - 1.3777492e-12 7.4520355e-12 - 1.3499568e-12 7.2463008e-12 - 1.3237043e-12 7.0534654e-12 - 1.2988560e-12 6.8723013e-12 - 1.2752918e-12 6.7017367e-12 - 1.2529060e-12 6.5408264e-12 - 1.2316042e-12 6.3887411e-12 - 1.2113024e-12 6.2447396e-12 - 1.1919253e-12 6.1081683e-12 - 1.1734055e-12 5.9784405e-12 - 1.1556819e-12 5.8550323e-12 - 1.1386996e-12 5.7374703e-12 - 1.1224087e-12 5.6253324e-12 - 1.1067639e-12 5.5182329e-12 - 1.0917240e-12 5.4158263e-12 - 1.0772511e-12 5.3177944e-12 - 1.0633108e-12 5.2238512e-12 - 1.0498715e-12 5.1337336e-12 - 3.6847695e-12 2.8696973e-11 - 3.2738098e-12 2.4448713e-11 - 2.9704796e-12 2.1417492e-11 - 2.7351398e-12 1.9134059e-11 - 2.5459046e-12 1.7345267e-11 - 2.3895937e-12 1.5901863e-11 - 2.2577412e-12 1.4709856e-11 - 2.1446323e-12 1.3706909e-11 - 2.0462538e-12 1.2849988e-11 - 1.9596949e-12 1.2108373e-11 - 1.8827876e-12 1.1459506e-11 - 1.8138799e-12 1.0886435e-11 - 1.7516885e-12 1.0376160e-11 - 1.6951996e-12 9.9185412e-12 - 1.6436005e-12 9.5055382e-12 - 1.5962312e-12 9.1306956e-12 - 1.5525495e-12 8.7887606e-12 - 1.5121051e-12 8.4754248e-12 - 1.4745209e-12 8.1871033e-12 - 1.4394783e-12 7.9208080e-12 - 1.4067057e-12 7.6740025e-12 - 1.3759707e-12 7.4445430e-12 - 1.3470725e-12 7.2305874e-12 - 1.3198367e-12 7.0305535e-12 - 1.2941113e-12 6.8430709e-12 - 1.2697629e-12 6.6669425e-12 - 1.2466739e-12 6.5011260e-12 - 1.2247405e-12 6.3447031e-12 - 1.2038700e-12 6.1968633e-12 - 1.1839801e-12 6.0568893e-12 - 1.1649969e-12 5.9241424e-12 - 1.1468542e-12 5.7980526e-12 - 1.1294923e-12 5.6781086e-12 - 1.1128570e-12 5.5638524e-12 - 1.0968996e-12 5.4548704e-12 - 1.0815756e-12 5.3507911e-12 - 1.0668445e-12 5.2512731e-12 - 1.0526693e-12 5.1560103e-12 - 1.0390162e-12 5.0647244e-12 - 1.0258541e-12 4.9771587e-12 - 3.6114740e-12 2.7912518e-11 - 3.2078222e-12 2.3774688e-11 - 2.9099387e-12 2.0822658e-11 - 2.6788646e-12 1.8599163e-11 - 2.4930902e-12 1.6857548e-11 - 2.3396617e-12 1.5452375e-11 - 2.2102592e-12 1.4292056e-11 - 2.0992666e-12 1.3315874e-11 - 2.0027404e-12 1.2481899e-11 - 1.9178208e-12 1.1760208e-11 - 1.8423777e-12 1.1128821e-11 - 1.7747884e-12 1.0571237e-11 - 1.7137925e-12 1.0074790e-11 - 1.6583942e-12 9.6296030e-12 - 1.6077955e-12 9.2278455e-12 - 1.5613483e-12 8.8632337e-12 - 1.5185200e-12 8.5306541e-12 - 1.4788687e-12 8.2259091e-12 - 1.4420239e-12 7.9455129e-12 - 1.4076729e-12 7.6865475e-12 - 1.3755491e-12 7.4465521e-12 - 1.3454243e-12 7.2234329e-12 - 1.3171013e-12 7.0154015e-12 - 1.2904090e-12 6.8209154e-12 - 1.2651983e-12 6.6386395e-12 - 1.2413382e-12 6.4674123e-12 - 1.2187133e-12 6.3062169e-12 - 1.1972217e-12 6.1541608e-12 - 1.1767725e-12 6.0104535e-12 - 1.1572848e-12 5.8743978e-12 - 1.1386864e-12 5.7453725e-12 - 1.1209121e-12 5.6228214e-12 - 1.1039032e-12 5.5062498e-12 - 1.0876070e-12 5.3952095e-12 - 1.0719753e-12 5.2892994e-12 - 1.0569646e-12 5.1881559e-12 - 1.0425352e-12 5.0914490e-12 - 1.0286508e-12 4.9988814e-12 - 1.0152781e-12 4.9101802e-12 - 1.0023869e-12 4.8250969e-12 - 3.5399079e-12 2.7148954e-11 - 3.1433839e-12 2.3118693e-11 - 2.8508141e-12 2.0243817e-11 - 2.6239026e-12 1.8078722e-11 - 2.4415058e-12 1.6383057e-11 - 2.2908909e-12 1.5015123e-11 - 2.1638800e-12 1.3885670e-11 - 2.0549533e-12 1.2935556e-11 - 1.9602353e-12 1.2123932e-11 - 1.8769158e-12 1.1421639e-11 - 1.8029022e-12 1.0807280e-11 - 1.7366000e-12 1.0264774e-11 - 1.6767713e-12 9.7817888e-12 - 1.6224380e-12 9.3487062e-12 - 1.5728162e-12 8.9579003e-12 - 1.5272694e-12 8.6032507e-12 - 1.4852746e-12 8.2797792e-12 - 1.4463977e-12 7.9833976e-12 - 1.4102750e-12 7.7107128e-12 - 1.3765994e-12 7.4588825e-12 - 1.3451092e-12 7.2255149e-12 - 1.3155802e-12 7.0085685e-12 - 1.2878190e-12 6.8063030e-12 - 1.2616576e-12 6.6172160e-12 - 1.2369495e-12 6.4400096e-12 - 1.2135662e-12 6.2735519e-12 - 1.1913946e-12 6.1168537e-12 - 1.1703344e-12 5.9690459e-12 - 1.1502966e-12 5.8293610e-12 - 1.1312019e-12 5.6971180e-12 - 1.1129792e-12 5.5717136e-12 - 1.0955646e-12 5.4526073e-12 - 1.0789008e-12 5.3393149e-12 - 1.0629356e-12 5.2314039e-12 - 1.0476221e-12 5.1284818e-12 - 1.0329175e-12 5.0301955e-12 - 1.0187828e-12 4.9362250e-12 - 1.0051824e-12 4.8462780e-12 - 9.9208374e-13 4.7600925e-12 - 9.7945700e-13 4.6774236e-12 - 3.4700293e-12 2.6405706e-11 - 3.0804576e-12 2.2480257e-11 - 2.7930720e-12 1.9680539e-11 - 2.5702224e-12 1.7572339e-11 - 2.3911223e-12 1.5921438e-11 - 2.2432537e-12 1.4589775e-11 - 2.1185773e-12 1.3490395e-11 - 2.0116672e-12 1.2565670e-11 - 1.9187143e-12 1.1775808e-11 - 1.8369570e-12 1.1092410e-11 - 1.7643389e-12 1.0494632e-11 - 1.6992935e-12 9.9668084e-12 - 1.6406044e-12 9.4969304e-12 - 1.5873110e-12 9.0756336e-12 - 1.5386432e-12 8.6954896e-12 - 1.4939756e-12 8.3505387e-12 - 1.4527947e-12 8.0359357e-12 - 1.4146741e-12 7.7476956e-12 - 1.3792566e-12 7.4825169e-12 - 1.3462405e-12 7.2376357e-12 - 1.3153691e-12 7.0107177e-12 - 1.2864220e-12 6.7997789e-12 - 1.2592093e-12 6.6031236e-12 - 1.2335663e-12 6.4192923e-12 - 1.2093491e-12 6.2470197e-12 - 1.1864315e-12 6.0852034e-12 - 1.1647025e-12 5.9328818e-12 - 1.1440637e-12 5.7892088e-12 - 1.1244278e-12 5.6534373e-12 - 1.1057168e-12 5.5249053e-12 - 1.0878611e-12 5.4030236e-12 - 1.0707980e-12 5.2872687e-12 - 1.0544711e-12 5.1771683e-12 - 1.0388294e-12 5.0723014e-12 - 1.0238267e-12 4.9722871e-12 - 1.0094211e-12 4.8767805e-12 - 9.9557420e-13 4.7854714e-12 - 9.8225126e-13 4.6980757e-12 - 9.6942027e-13 4.6143355e-12 - 9.5705194e-13 4.5340166e-12 - 3.4017975e-12 2.5682237e-11 - 3.0190068e-12 2.1858897e-11 - 2.7366791e-12 1.9132412e-11 - 2.5177935e-12 1.7079636e-11 - 2.3419110e-12 1.5472349e-11 - 2.1967231e-12 1.4176016e-11 - 2.0743254e-12 1.3105925e-11 - 1.9693839e-12 1.2205928e-11 - 1.8781541e-12 1.1437266e-11 - 1.7979218e-12 1.0772267e-11 - 1.7266661e-12 1.0190634e-11 - 1.6628477e-12 9.6771083e-12 - 1.6052716e-12 9.2199965e-12 - 1.5529936e-12 8.8101739e-12 - 1.5052573e-12 8.4404118e-12 - 1.4614484e-12 8.1049037e-12 - 1.4210623e-12 7.7989327e-12 - 1.3836802e-12 7.5186172e-12 - 1.3489514e-12 7.2607472e-12 - 1.3165794e-12 7.0226283e-12 - 1.2863122e-12 6.8019886e-12 - 1.2579333e-12 6.5968972e-12 - 1.2312565e-12 6.4057050e-12 - 1.2061197e-12 6.2269880e-12 - 1.1823818e-12 6.0595160e-12 - 1.1599191e-12 5.9022173e-12 - 1.1386224e-12 5.7541544e-12 - 1.1183952e-12 5.6145046e-12 - 1.0991518e-12 5.4825412e-12 - 1.0808157e-12 5.3576194e-12 - 1.0633184e-12 5.2391664e-12 - 1.0465986e-12 5.1266718e-12 - 1.0306008e-12 5.0196780e-12 - 1.0152751e-12 4.9177732e-12 - 1.0005760e-12 4.8205874e-12 - 9.8646235e-13 4.7277855e-12 - 9.7289672e-13 4.6390647e-12 - 9.5984480e-13 4.5541498e-12 - 9.4727527e-13 4.4727903e-12 - 9.3515937e-13 4.3947567e-12 - 3.3351725e-12 2.4978006e-11 - 2.9589958e-12 2.1254163e-11 - 2.6816029e-12 1.8599023e-11 - 2.4665859e-12 1.6600245e-11 - 2.2938439e-12 1.5035441e-11 - 2.1512726e-12 1.3773533e-11 - 2.0310993e-12 1.2731971e-11 - 1.9280793e-12 1.1856060e-11 - 1.8385316e-12 1.1108041e-11 - 1.7597882e-12 1.0460963e-11 - 1.6898627e-12 9.8950532e-12 - 1.6272425e-12 9.3954509e-12 - 1.5707530e-12 8.9507687e-12 - 1.5194666e-12 8.5521203e-12 - 1.4726400e-12 8.1924634e-12 - 1.4296696e-12 7.8661480e-12 - 1.3900597e-12 7.5685800e-12 - 1.3533988e-12 7.2959834e-12 - 1.3193425e-12 7.0452274e-12 - 1.2875995e-12 6.8136903e-12 - 1.2579223e-12 6.5991619e-12 - 1.2300984e-12 6.3997623e-12 - 1.2039448e-12 6.2138850e-12 - 1.1793024e-12 6.0401461e-12 - 1.1560328e-12 5.8773466e-12 - 1.1340143e-12 5.7244438e-12 - 1.1131398e-12 5.5805263e-12 - 1.0933146e-12 5.4447921e-12 - 1.0744546e-12 5.3165342e-12 - 1.0564846e-12 5.1951249e-12 - 1.0393376e-12 5.0800084e-12 - 1.0229531e-12 4.9706861e-12 - 1.0072768e-12 4.8667150e-12 - 9.9225964e-13 4.7676920e-12 - 9.7785711e-13 4.6732575e-12 - 9.6402879e-13 4.5830874e-12 - 9.5073786e-13 4.4968850e-12 - 9.3795071e-13 4.4143850e-12 - 9.2563658e-13 4.3353401e-12 - 9.1376727e-13 4.2595303e-12 - 3.2701150e-12 2.4292499e-11 - 2.9003897e-12 2.0665600e-11 - 2.6278118e-12 1.8079980e-11 - 2.4165703e-12 1.6133815e-11 - 2.2468936e-12 1.4610403e-11 - 2.1068763e-12 1.3382021e-11 - 1.9888742e-12 1.2368251e-11 - 1.8877300e-12 1.1515801e-11 - 1.7998245e-12 1.0787887e-11 - 1.7225346e-12 1.0158261e-11 - 1.6539079e-12 9.6076627e-12 - 1.5924576e-12 9.1216181e-12 - 1.5370293e-12 8.6890396e-12 - 1.4867112e-12 8.3012679e-12 - 1.4407730e-12 7.9514538e-12 - 1.3986215e-12 7.6340898e-12 - 1.3597695e-12 7.3447022e-12 - 1.3238130e-12 7.0796168e-12 - 1.2904133e-12 6.8357854e-12 - 1.2592847e-12 6.6106558e-12 - 1.2301836e-12 6.4020752e-12 - 1.2029017e-12 6.2082167e-12 - 1.1772591e-12 6.0275126e-12 - 1.1530996e-12 5.8586179e-12 - 1.1302873e-12 5.7003645e-12 - 1.1087027e-12 5.5517407e-12 - 1.0882406e-12 5.4118564e-12 - 1.0688081e-12 5.2799328e-12 - 1.0503226e-12 5.1552803e-12 - 1.0327103e-12 5.0372901e-12 - 1.0159053e-12 4.9254192e-12 - 9.9984835e-13 4.8191848e-12 - 9.8448615e-13 4.7181522e-12 - 9.6977047e-13 4.6219338e-12 - 9.5565765e-13 4.5301774e-12 - 9.4210802e-13 4.4425673e-12 - 9.2908544e-13 4.3588159e-12 - 9.1655692e-13 4.2786626e-12 - 9.0449229e-13 4.2018710e-12 - 8.9286386e-13 4.1282241e-12 - 3.2065868e-12 2.3625221e-11 - 2.8431543e-12 2.0092780e-11 - 2.5752747e-12 1.7574899e-11 - 2.3677179e-12 1.5679993e-11 - 2.2010331e-12 1.4196910e-11 - 2.0635088e-12 1.3001190e-11 - 1.9476261e-12 1.2014488e-11 - 1.8483131e-12 1.1184889e-11 - 1.7620106e-12 1.0476559e-11 - 1.6861400e-12 9.8639300e-12 - 1.6187816e-12 9.3282416e-12 - 1.5584737e-12 8.8553984e-12 - 1.5040816e-12 8.4346042e-12 - 1.4547092e-12 8.0574275e-12 - 1.4096384e-12 7.7171935e-12 - 1.3682865e-12 7.4085431e-12 - 1.3301748e-12 7.1271202e-12 - 1.2949061e-12 6.8693471e-12 - 1.2621478e-12 6.6322561e-12 - 1.2316190e-12 6.4133632e-12 - 1.2030807e-12 6.2105730e-12 - 1.1763281e-12 6.0221047e-12 - 1.1511846e-12 5.8464365e-12 - 1.1274968e-12 5.6822562e-12 - 1.1051311e-12 5.5284294e-12 - 1.0839703e-12 5.3839690e-12 - 1.0639111e-12 5.2480094e-12 - 1.0448622e-12 5.1197933e-12 - 1.0267425e-12 4.9986501e-12 - 1.0094795e-12 4.8839858e-12 - 9.9300867e-13 4.7752735e-12 - 9.7727173e-13 4.6720421e-12 - 9.6221633e-13 4.5738717e-12 - 9.4779516e-13 4.4803800e-12 - 9.3396535e-13 4.3912291e-12 - 9.2068795e-13 4.3061088e-12 - 9.0792751e-13 4.2247416e-12 - 8.9565165e-13 4.1468730e-12 - 8.8383074e-13 4.0722726e-12 - 8.7243762e-13 4.0007290e-12 - 3.1445503e-12 2.2975682e-11 - 2.7872563e-12 1.9535289e-11 - 2.5239613e-12 1.7083408e-11 - 2.3200007e-12 1.5238452e-11 - 2.1562362e-12 1.3794651e-11 - 2.0211453e-12 1.2630752e-11 - 1.9073315e-12 1.1670416e-11 - 1.8098060e-12 1.0863073e-11 - 1.7250688e-12 1.0173817e-11 - 1.6505839e-12 9.5777409e-12 - 1.5844638e-12 9.0565720e-12 - 1.5252715e-12 8.5965871e-12 - 1.4718913e-12 8.1872661e-12 - 1.4234424e-12 7.8204056e-12 - 1.3792188e-12 7.4894964e-12 - 1.3386478e-12 7.1893310e-12 - 1.3012590e-12 6.9156621e-12 - 1.2666619e-12 6.6650069e-12 - 1.2345299e-12 6.4344772e-12 - 1.2045870e-12 6.2216543e-12 - 1.1765984e-12 6.0245002e-12 - 1.1503628e-12 5.8412793e-12 - 1.1257067e-12 5.6705117e-12 - 1.1024796e-12 5.5109209e-12 - 1.0805502e-12 5.3614002e-12 - 1.0598034e-12 5.2209915e-12 - 1.0401377e-12 5.0888516e-12 - 1.0214635e-12 4.9642432e-12 - 1.0037011e-12 4.8465136e-12 - 9.8677953e-13 4.7350862e-12 - 9.7063508e-13 4.6294475e-12 - 9.5521072e-13 4.5291390e-12 - 9.4045503e-13 4.4337510e-12 - 9.2632155e-13 4.3429139e-12 - 9.1276821e-13 4.2562968e-12 - 8.9975676e-13 4.1736002e-12 - 8.8725240e-13 4.0945517e-12 - 8.7522335e-13 4.0189054e-12 - 8.6364053e-13 3.9464365e-12 - 8.5247728e-13 3.8769392e-12 - 3.0839688e-12 2.2343419e-11 - 2.7326630e-12 1.8992716e-11 - 2.4738418e-12 1.6605148e-11 - 2.2733911e-12 1.4808852e-11 - 2.1124769e-12 1.3403328e-11 - 1.9797613e-12 1.2270426e-11 - 1.8679671e-12 1.1335777e-11 - 1.7721868e-12 1.0550110e-11 - 1.6889778e-12 9.8794283e-12 - 1.6158460e-12 9.2994707e-12 - 1.5509353e-12 8.7924453e-12 - 1.4928324e-12 8.3449805e-12 - 1.4404405e-12 7.9468340e-12 - 1.3928933e-12 7.5900131e-12 - 1.3494971e-12 7.2681886e-12 - 1.3096887e-12 6.9762809e-12 - 1.2730057e-12 6.7101595e-12 - 1.2390647e-12 6.4664339e-12 - 1.2075443e-12 6.2422910e-12 - 1.1781736e-12 6.0353774e-12 - 1.1507218e-12 5.8437081e-12 - 1.1249912e-12 5.6655959e-12 - 1.1008113e-12 5.4995975e-12 - 1.0780342e-12 5.3444713e-12 - 1.0565310e-12 5.1991427e-12 - 1.0361885e-12 5.0626762e-12 - 1.0169073e-12 4.9342533e-12 - 9.9859918e-13 4.8131556e-12 - 9.8118589e-13 4.6987486e-12 - 9.6459768e-13 4.5904707e-12 - 9.4877211e-13 4.4878219e-12 - 9.3365311e-13 4.3903569e-12 - 9.1919020e-13 4.2976766e-12 - 9.0533778e-13 4.2094224e-12 - 8.9205450e-13 4.1252711e-12 - 8.7930286e-13 4.0449312e-12 - 8.6704867e-13 3.9681379e-12 - 8.5526072e-13 3.8946529e-12 - 8.4391049e-13 3.8242577e-12 - 8.3297180e-13 3.7567522e-12 - 3.0248063e-12 2.1727961e-11 - 2.6793425e-12 1.8464672e-11 - 2.4248872e-12 1.6139770e-11 - 2.2278621e-12 1.4390888e-11 - 2.0697302e-12 1.3022647e-11 - 1.9393331e-12 1.1919943e-11 - 1.8295105e-12 1.1010311e-11 - 1.7354340e-12 1.0245760e-11 - 1.6537173e-12 9.5931721e-12 - 1.5819068e-12 9.0289140e-12 - 1.5181770e-12 8.5356578e-12 - 1.4611381e-12 8.1003863e-12 - 1.4097111e-12 7.7131189e-12 - 1.3630446e-12 7.3660750e-12 - 1.3204563e-12 7.0530927e-12 - 1.2813927e-12 6.7692245e-12 - 1.2453992e-12 6.5104519e-12 - 1.2120988e-12 6.2734718e-12 - 1.1811759e-12 6.0555453e-12 - 1.1523641e-12 5.8543835e-12 - 1.1254366e-12 5.6680521e-12 - 1.1001992e-12 5.4949114e-12 - 1.0764844e-12 5.3335550e-12 - 1.0541469e-12 5.1827753e-12 - 1.0330600e-12 5.0415248e-12 - 1.0131127e-12 4.9088952e-12 - 9.9420699e-13 4.7840903e-12 - 9.7625645e-13 4.6664080e-12 - 9.5918420e-13 4.5552342e-12 - 9.4292170e-13 4.4500201e-12 - 9.2740764e-13 4.3502804e-12 - 9.1258695e-13 4.2555824e-12 - 8.9841007e-13 4.1655366e-12 - 8.8483220e-13 4.0797933e-12 - 8.7181277e-13 3.9980412e-12 - 8.5931492e-13 3.9199945e-12 - 8.4730512e-13 3.8453965e-12 - 8.3575272e-13 3.7740143e-12 - 8.2462972e-13 3.7056351e-12 - 8.1391042e-13 3.6400656e-12 - 2.9670276e-12 2.1128873e-11 - 2.6272634e-12 1.7950758e-11 - 2.3770689e-12 1.5686926e-11 - 2.1833874e-12 1.3984237e-11 - 2.0279711e-12 1.2652329e-11 - 1.8998374e-12 1.1579038e-11 - 1.7919395e-12 1.0693778e-11 - 1.6995267e-12 9.9497926e-12 - 1.6192671e-12 9.3148238e-12 - 1.5487469e-12 8.7658573e-12 - 1.4861704e-12 8.2860123e-12 - 1.4301704e-12 7.8626120e-12 - 1.3796859e-12 7.4859376e-12 - 1.3338795e-12 7.1484139e-12 - 1.2920802e-12 6.8440402e-12 - 1.2537439e-12 6.5680000e-12 - 1.2184237e-12 6.3163803e-12 - 1.1857491e-12 6.0859652e-12 - 1.1554097e-12 5.8740909e-12 - 1.1271438e-12 5.6785273e-12 - 1.1007285e-12 5.4973932e-12 - 1.0759730e-12 5.3290898e-12 - 1.0527126e-12 5.1722499e-12 - 1.0308045e-12 5.0257004e-12 - 1.0101244e-12 4.8884202e-12 - 9.9056293e-13 4.7595248e-12 - 9.7202413e-13 4.6382382e-12 - 9.5442293e-13 4.5238804e-12 - 9.3768384e-13 4.4158520e-12 - 9.2173954e-13 4.3136192e-12 - 9.0652979e-13 4.2167105e-12 - 8.9200054e-13 4.1247040e-12 - 8.7810308e-13 4.0372207e-12 - 8.6479343e-13 3.9539229e-12 - 8.5203175e-13 3.8745032e-12 - 8.3978186e-13 3.7986873e-12 - 8.2801082e-13 3.7262239e-12 - 8.1668854e-13 3.6568869e-12 - 8.0578753e-13 3.5904697e-12 - 7.9528257e-13 3.5267835e-12 - 2.9105982e-12 2.0545716e-11 - 2.5763951e-12 1.7450612e-11 - 2.3303589e-12 1.5246284e-11 - 2.1399410e-12 1.3588607e-11 - 1.9871754e-12 1.2292091e-11 - 1.8612512e-12 1.1247457e-11 - 1.7552326e-12 1.0385935e-11 - 1.6644443e-12 9.6619836e-12 - 1.5856075e-12 9.0441769e-12 - 1.5163475e-12 8.5101004e-12 - 1.4548973e-12 8.0433149e-12 - 1.3999119e-12 7.6314724e-12 - 1.3503478e-12 7.2651134e-12 - 1.3053813e-12 6.9368588e-12 - 1.2643527e-12 6.6408660e-12 - 1.2267267e-12 6.3724460e-12 - 1.1920642e-12 6.1277894e-12 - 1.1600008e-12 5.9037662e-12 - 1.1302314e-12 5.6977831e-12 - 1.1024988e-12 5.5076687e-12 - 1.0765838e-12 5.3315907e-12 - 1.0522990e-12 5.1679969e-12 - 1.0294825e-12 5.0155547e-12 - 1.0079940e-12 4.8731203e-12 - 9.8771113e-13 4.7397034e-12 - 9.6852674e-13 4.6144411e-12 - 9.5034636e-13 4.4965796e-12 - 9.3308645e-13 4.3854560e-12 - 9.1667284e-13 4.2804880e-12 - 9.0103940e-13 4.1811562e-12 - 8.8612696e-13 4.0870018e-12 - 8.7188242e-13 3.9976133e-12 - 8.5825794e-13 3.9126235e-12 - 8.4521034e-13 3.8317023e-12 - 8.3270048e-13 3.7545535e-12 - 8.2069283e-13 3.6809067e-12 - 8.0915505e-13 3.6105208e-12 - 7.9805761e-13 3.5431733e-12 - 7.8737349e-13 3.4786642e-12 - 7.7707795e-13 3.4168101e-12 - 2.8554844e-12 1.9978075e-11 - 2.5267077e-12 1.6963867e-11 - 2.2847299e-12 1.4817519e-11 - 2.0974974e-12 1.3203704e-11 - 1.9473195e-12 1.1941667e-11 - 1.8235523e-12 1.0924947e-11 - 1.7193687e-12 1.0086550e-11 - 1.6301667e-12 9.3821097e-12 - 1.5527195e-12 8.7810173e-12 - 1.4846900e-12 8.2614452e-12 - 1.4243397e-12 7.8073757e-12 - 1.3703453e-12 7.4067904e-12 - 1.3216801e-12 7.0504741e-12 - 1.2775339e-12 6.7312433e-12 - 1.2372579e-12 6.4434099e-12 - 1.2003259e-12 6.1824099e-12 - 1.1663057e-12 5.9445321e-12 - 1.1348393e-12 5.7267298e-12 - 1.1056268e-12 5.5264797e-12 - 1.0784151e-12 5.3416684e-12 - 1.0529890e-12 5.1705145e-12 - 1.0291640e-12 5.0115031e-12 - 1.0067811e-12 4.8633402e-12 - 9.8570245e-13 4.7249116e-12 - 9.6580782e-13 4.5952527e-12 - 9.4699179e-13 4.4735259e-12 - 9.2916157e-13 4.3589976e-12 - 9.1223510e-13 4.2510220e-12 - 8.9613947e-13 4.1490316e-12 - 8.8080973e-13 4.0525217e-12 - 8.6618776e-13 3.9610469e-12 - 8.5222137e-13 3.8742052e-12 - 8.3886360e-13 3.7916418e-12 - 8.2607202e-13 3.7130336e-12 - 8.1380819e-13 3.6380921e-12 - 8.0203723e-13 3.5665566e-12 - 7.9072736e-13 3.4981902e-12 - 7.7984960e-13 3.4327782e-12 - 7.6937741e-13 3.3701251e-12 - 7.5928650e-13 3.3100534e-12 - 2.8016533e-12 1.9425540e-11 - 2.4781716e-12 1.6490165e-11 - 2.2401549e-12 1.4400320e-11 - 2.0560317e-12 1.2829237e-11 - 1.9083799e-12 1.1600794e-11 - 1.7867189e-12 1.0611270e-11 - 1.6843269e-12 9.7953976e-12 - 1.5966741e-12 9.1099635e-12 - 1.5205840e-12 8.5251497e-12 - 1.4537564e-12 8.0196985e-12 - 1.3944803e-12 7.5780140e-12 - 1.3414537e-12 7.1883890e-12 - 1.2936664e-12 6.8418521e-12 - 1.2503214e-12 6.5314072e-12 - 1.2107806e-12 6.2515182e-12 - 1.1745263e-12 5.9977387e-12 - 1.1411337e-12 5.7664594e-12 - 1.1102505e-12 5.5547142e-12 - 1.0815820e-12 5.3600451e-12 - 1.0548793e-12 5.1803963e-12 - 1.0299307e-12 5.0140336e-12 - 1.0065549e-12 4.8594812e-12 - 9.8459573e-13 4.7154829e-12 - 9.6391754e-13 4.5809524e-12 - 9.4440216e-13 4.4549526e-12 - 9.2594603e-13 4.3366660e-12 - 9.0845792e-13 4.2253801e-12 - 8.9185721e-13 4.1204660e-12 - 8.7607226e-13 4.0213730e-12 - 8.6103924e-13 3.9276096e-12 - 8.4670105e-13 3.8387405e-12 - 8.3300644e-13 3.7543783e-12 - 8.1990925e-13 3.6741740e-12 - 8.0736782e-13 3.5978161e-12 - 7.9534439e-13 3.5250229e-12 - 7.8380469e-13 3.4555410e-12 - 7.7271752e-13 3.3891389e-12 - 7.6205442e-13 3.3256099e-12 - 7.5178933e-13 3.2647620e-12 - 7.4189838e-13 3.2064230e-12 - 2.7490724e-12 1.8887713e-11 - 2.4307581e-12 1.6029165e-11 - 2.1966076e-12 1.3994382e-11 - 2.0155196e-12 1.2464931e-11 - 1.8703340e-12 1.1269220e-11 - 1.7507294e-12 1.0306186e-11 - 1.6500872e-12 9.5122543e-12 - 1.5639473e-12 8.8453308e-12 - 1.4891826e-12 8.2763735e-12 - 1.4235288e-12 7.7846753e-12 - 1.3653019e-12 7.3550516e-12 - 1.3132205e-12 6.9760993e-12 - 1.2662907e-12 6.6390828e-12 - 1.2237284e-12 6.3371927e-12 - 1.1849057e-12 6.0650366e-12 - 1.1493135e-12 5.8182879e-12 - 1.1165339e-12 5.5934321e-12 - 1.0862205e-12 5.3875819e-12 - 1.0580835e-12 5.1983450e-12 - 1.0318780e-12 5.0237212e-12 - 1.0073960e-12 4.8620211e-12 - 9.8445917e-13 4.7118097e-12 - 9.6291393e-13 4.5718634e-12 - 9.4262698e-13 4.4411273e-12 - 9.2348216e-13 4.3186862e-12 - 9.0537764e-13 4.2037482e-12 - 8.8822380e-13 4.0956167e-12 - 8.7194136e-13 3.9936825e-12 - 8.5645996e-13 3.8974080e-12 - 8.4171686e-13 3.8063159e-12 - 8.2765595e-13 3.7199836e-12 - 8.1422688e-13 3.6380317e-12 - 8.0138432e-13 3.5601236e-12 - 7.8908731e-13 3.4859540e-12 - 7.7729878e-13 3.4152504e-12 - 7.6598507e-13 3.3477657e-12 - 7.5511553e-13 3.2832756e-12 - 7.4466220e-13 3.2215770e-12 - 7.3459949e-13 3.1624852e-12 - 7.2490397e-13 3.1058324e-12 - 2.6977101e-12 1.8364203e-11 - 2.3844389e-12 1.5580532e-11 - 2.1540622e-12 1.3599402e-11 - 1.9759372e-12 1.2110519e-11 - 1.8331594e-12 1.0946690e-11 - 1.7155629e-12 1.0009465e-11 - 1.6166296e-12 9.2369071e-12 - 1.5319673e-12 8.5880132e-12 - 1.4584971e-12 8.0344958e-12 - 1.3939898e-12 7.5561951e-12 - 1.3367877e-12 7.1383142e-12 - 1.2856296e-12 6.7697531e-12 - 1.2395374e-12 6.4420073e-12 - 1.1977396e-12 6.1484454e-12 - 1.1596184e-12 5.8838183e-12 - 1.1246730e-12 5.6439144e-12 - 1.0924924e-12 5.4253110e-12 - 1.0627357e-12 5.2251992e-12 - 1.0351179e-12 5.0412500e-12 - 1.0093983e-12 4.8715167e-12 - 9.8537216e-13 4.7143538e-12 - 9.6286425e-13 4.5683684e-12 - 9.4172346e-13 4.4323654e-12 - 9.2181880e-13 4.3053207e-12 - 9.0303603e-13 4.1863438e-12 - 8.8527507e-13 4.0746619e-12 - 8.6844783e-13 3.9696003e-12 - 8.5247639e-13 3.8705656e-12 - 8.3729158e-13 3.7770343e-12 - 8.2283176e-13 3.6885414e-12 - 8.0904180e-13 3.6046759e-12 - 7.9587221e-13 3.5250700e-12 - 7.8327846e-13 3.4493945e-12 - 7.7122031e-13 3.3773546e-12 - 7.5966134e-13 3.3086835e-12 - 7.4856848e-13 3.2431410e-12 - 7.3791163e-13 3.1805099e-12 - 7.2766331e-13 3.1205926e-12 - 7.1779839e-13 3.0632093e-12 - 7.0829387e-13 3.0081959e-12 - 2.6475352e-12 1.7854638e-11 - 2.3391860e-12 1.5143940e-11 - 2.1124932e-12 1.3215090e-11 - 1.9372609e-12 1.1765733e-11 - 1.7968343e-12 1.0632970e-11 - 1.6811990e-12 9.7208857e-12 - 1.5839347e-12 8.9691474e-12 - 1.5007157e-12 8.3378147e-12 - 1.4285099e-12 7.7993384e-12 - 1.3651224e-12 7.3340773e-12 - 1.3089212e-12 6.9276323e-12 - 1.2586650e-12 6.5691904e-12 - 1.2133911e-12 6.2504706e-12 - 1.1723401e-12 5.9650169e-12 - 1.1349044e-12 5.7077198e-12 - 1.1005910e-12 5.4744786e-12 - 1.0689955e-12 5.2619618e-12 - 1.0397828e-12 5.0674363e-12 - 1.0126724e-12 4.8886338e-12 - 9.8742748e-13 4.7236590e-12 - 9.6384680e-13 4.5709134e-12 - 9.4175796e-13 4.4290400e-12 - 9.2101238e-13 4.2968744e-12 - 9.0148124e-13 4.1734217e-12 - 8.8305225e-13 4.0578148e-12 - 8.6562700e-13 3.9493037e-12 - 8.4911889e-13 3.8472295e-12 - 8.3345134e-13 3.7510137e-12 - 8.1855636e-13 3.6601508e-12 - 8.0437336e-13 3.5741860e-12 - 7.9084818e-13 3.4927214e-12 - 7.7793217e-13 3.4153975e-12 - 7.6558157e-13 3.3418943e-12 - 7.5375686e-13 3.2719255e-12 - 7.4242225e-13 3.2052319e-12 - 7.3154524e-13 3.1415794e-12 - 7.2109626e-13 3.0807566e-12 - 7.1104832e-13 3.0225717e-12 - 7.0137673e-13 2.9668494e-12 - 6.9205889e-13 2.9134305e-12 - 2.5985173e-12 1.7358655e-11 - 2.2949724e-12 1.4719071e-11 - 2.0718758e-12 1.2841164e-11 - 1.8994679e-12 1.1430317e-11 - 1.7613373e-12 1.0327820e-11 - 1.6476175e-12 9.4402263e-12 - 1.5519834e-12 8.7087698e-12 - 1.4701741e-12 8.0945398e-12 - 1.3992034e-12 7.5707106e-12 - 1.3369098e-12 7.1181541e-12 - 1.2816864e-12 6.7228440e-12 - 1.2323112e-12 6.3742540e-12 - 1.1878367e-12 6.0643226e-12 - 1.1475155e-12 5.7867627e-12 - 1.1107494e-12 5.5366022e-12 - 1.0770535e-12 5.3098460e-12 - 1.0460299e-12 5.1032543e-12 - 1.0173488e-12 4.9141655e-12 - 9.9073413e-13 4.7403725e-12 - 9.6595311e-13 4.5800310e-12 - 9.4280770e-13 4.4315833e-12 - 9.2112836e-13 4.2937103e-12 - 9.0076897e-13 4.1652809e-12 - 8.8160283e-13 4.0453231e-12 - 8.6351954e-13 3.9329955e-12 - 8.4642234e-13 3.8275679e-12 - 8.3022609e-13 3.7283998e-12 - 8.1485551e-13 3.6349297e-12 - 8.0024377e-13 3.5466613e-12 - 7.8633131e-13 3.4631575e-12 - 7.7306489e-13 3.3840271e-12 - 7.6039672e-13 3.3089231e-12 - 7.4828378e-13 3.2375339e-12 - 7.3668723e-13 3.1695797e-12 - 7.2557191e-13 3.1048092e-12 - 7.1490588e-13 3.0429946e-12 - 7.0466008e-13 2.9839310e-12 - 6.9480801e-13 2.9274307e-12 - 6.8532541e-13 2.8733241e-12 - 6.7619006e-13 2.8214566e-12 - 2.5506265e-12 1.6875893e-11 - 2.2517712e-12 1.4305610e-11 - 2.0321855e-12 1.2477348e-11 - 1.8625356e-12 1.1104026e-11 - 1.7266475e-12 1.0031014e-11 - 1.6147987e-12 9.1672814e-12 - 1.5207570e-12 8.4555778e-12 - 1.4403248e-12 7.8580048e-12 - 1.3705605e-12 7.3484430e-12 - 1.3093355e-12 6.9082551e-12 - 1.2550674e-12 6.5237881e-12 - 1.2065531e-12 6.1847918e-12 - 1.1628596e-12 5.8834160e-12 - 1.1232514e-12 5.6135426e-12 - 1.0871398e-12 5.3703278e-12 - 1.0540473e-12 5.1498861e-12 - 1.0235825e-12 4.9490618e-12 - 9.9542082e-13 4.7652651e-12 - 9.6929066e-13 4.5963481e-12 - 9.4496295e-13 4.4405142e-12 - 9.2224290e-13 4.2962500e-12 - 9.0096374e-13 4.1622704e-12 - 8.8098173e-13 4.0374748e-12 - 8.6217230e-13 3.9209180e-12 - 8.4442684e-13 3.8117826e-12 - 8.2765025e-13 3.7093554e-12 - 8.1175878e-13 3.6130150e-12 - 7.9667844e-13 3.5222150e-12 - 7.8234352e-13 3.4364723e-12 - 7.6869548e-13 3.3553614e-12 - 7.5568198e-13 3.2785029e-12 - 7.4325606e-13 3.2055580e-12 - 7.3137542e-13 3.1362243e-12 - 7.2000190e-13 3.0702301e-12 - 7.0910093e-13 3.0073306e-12 - 6.9864115e-13 2.9473043e-12 - 6.8859398e-13 2.8899509e-12 - 6.7893339e-13 2.8350897e-12 - 6.6963553e-13 2.7825548e-12 - 6.6067858e-13 2.7321958e-12 - 2.5038334e-12 1.6406006e-11 - 2.2095562e-12 1.3903263e-11 - 1.9933986e-12 1.2123373e-11 - 1.8264421e-12 1.0786613e-11 - 1.6927444e-12 9.7423270e-12 - 1.5827232e-12 8.9018375e-12 - 1.4902372e-12 8.2093737e-12 - 1.4111503e-12 7.6280284e-12 - 1.3425646e-12 7.1323578e-12 - 1.2823836e-12 6.7042175e-12 - 1.2290489e-12 6.3303092e-12 - 1.1813756e-12 6.0006533e-12 - 1.1384454e-12 5.7076079e-12 - 1.0995340e-12 5.4452177e-12 - 1.0640619e-12 5.2087650e-12 - 1.0315592e-12 4.9944690e-12 - 1.0016405e-12 4.7992596e-12 - 9.7398640e-13 4.6206142e-12 - 9.4832973e-13 4.4564417e-12 - 9.2444504e-13 4.3049956e-12 - 9.0214070e-13 4.1648036e-12 - 8.8125262e-13 4.0346125e-12 - 8.6163944e-13 3.9133531e-12 - 8.4317862e-13 3.8001068e-12 - 8.2576335e-13 3.6940759e-12 - 8.0930010e-13 3.5945687e-12 - 7.9370653e-13 3.5009790e-12 - 7.7890988e-13 3.4127761e-12 - 7.6484554e-13 3.3294911e-12 - 7.5145597e-13 3.2507083e-12 - 7.3868972e-13 3.1760597e-12 - 7.2650059e-13 3.1052158e-12 - 7.1484705e-13 3.0378818e-12 - 7.0369156e-13 2.9737939e-12 - 6.9300015e-13 2.9127134e-12 - 6.8274200e-13 2.8544265e-12 - 6.7288902e-13 2.7987375e-12 - 6.6341562e-13 2.7454704e-12 - 6.5429838e-13 2.6944639e-12 - 6.4551585e-13 2.6455717e-12 - 2.4581090e-12 1.5948651e-11 - 2.1683015e-12 1.3511731e-11 - 1.9554914e-12 1.1778981e-11 - 1.7911657e-12 1.0477844e-11 - 1.6596077e-12 9.4615447e-12 - 1.5513720e-12 8.6436950e-12 - 1.4604058e-12 7.9699758e-12 - 1.3826332e-12 7.4044345e-12 - 1.3151992e-12 6.9222934e-12 - 1.2560383e-12 6.5058821e-12 - 1.2036156e-12 6.1422547e-12 - 1.1567643e-12 5.8216947e-12 - 1.1145800e-12 5.5367613e-12 - 1.0763496e-12 5.2816543e-12 - 1.0415025e-12 5.0517857e-12 - 1.0095762e-12 4.8434732e-12 - 9.8019121e-13 4.6537276e-12 - 9.5303326e-13 4.4800949e-12 - 9.2783935e-13 4.3205417e-12 - 9.0438766e-13 4.1733663e-12 - 8.8248961e-13 4.0371356e-12 - 8.6198378e-13 3.9106325e-12 - 8.4273109e-13 3.7928152e-12 - 8.2461100e-13 3.6827885e-12 - 8.0751848e-13 3.5797787e-12 - 7.9136152e-13 3.4831119e-12 - 7.7605915e-13 3.3921988e-12 - 7.6153981e-13 3.3065234e-12 - 7.4773999e-13 3.2256283e-12 - 7.3460311e-13 3.1491109e-12 - 7.2207856e-13 3.0766118e-12 - 7.1012095e-13 3.0078109e-12 - 6.9868943e-13 2.9424229e-12 - 6.8774710e-13 2.8801889e-12 - 6.7726059e-13 2.8208791e-12 - 6.6719957e-13 2.7642834e-12 - 6.5753645e-13 2.7102132e-12 - 6.4824608e-13 2.6584961e-12 - 6.3930544e-13 2.6089762e-12 - 6.3069344e-13 2.5615110e-12 - 2.4134251e-12 1.5503506e-11 - 2.1279818e-12 1.3130734e-11 - 1.9184410e-12 1.1443915e-11 - 1.7566852e-12 1.0177486e-11 - 1.6272177e-12 9.1884557e-12 - 1.5207265e-12 8.3926618e-12 - 1.4312452e-12 7.7371975e-12 - 1.3547569e-12 7.1870500e-12 - 1.2884482e-12 6.7180830e-12 - 1.2302841e-12 6.3130958e-12 - 1.1787527e-12 5.9594798e-12 - 1.1327048e-12 5.6477750e-12 - 1.0912496e-12 5.3707377e-12 - 1.0536848e-12 5.1227230e-12 - 1.0194486e-12 4.8992624e-12 - 9.8808563e-13 4.6967746e-12 - 9.5922237e-13 4.5123480e-12 - 9.3254936e-13 4.3435966e-12 - 9.0780777e-13 4.1885366e-12 - 8.8477931e-13 4.0455175e-12 - 8.6327839e-13 3.9131425e-12 - 8.4314620e-13 3.7902272e-12 - 8.2424589e-13 3.6757581e-12 - 8.0645890e-13 3.5688659e-12 - 7.8968188e-13 3.4687955e-12 - 7.7382434e-13 3.3748927e-12 - 7.5880666e-13 3.2865840e-12 - 7.4455845e-13 3.2033671e-12 - 7.3101725e-13 3.1247980e-12 - 7.1812741e-13 3.0504835e-12 - 7.0583919e-13 2.9800758e-12 - 6.9410795e-13 2.9132630e-12 - 6.8289352e-13 2.8497670e-12 - 6.7215962e-13 2.7893370e-12 - 6.6187345e-13 2.7317484e-12 - 6.5200519e-13 2.6767981e-12 - 6.4252772e-13 2.6243015e-12 - 6.3341632e-13 2.5740926e-12 - 6.2464835e-13 2.5260186e-12 - 6.1620309e-13 2.4799408e-12 - 2.3697538e-12 1.5070248e-11 - 2.0885723e-12 1.2759988e-11 - 1.8822250e-12 1.1117926e-11 - 1.7229798e-12 9.8853182e-12 - 1.5955549e-12 8.9228518e-12 - 1.4907684e-12 8.1485443e-12 - 1.4027381e-12 7.5108628e-12 - 1.3275048e-12 6.9757055e-12 - 1.2622957e-12 6.5195714e-12 - 1.2051059e-12 6.1257066e-12 - 1.1544458e-12 5.7818385e-12 - 1.1091831e-12 5.4787568e-12 - 1.0684406e-12 5.2094079e-12 - 1.0315264e-12 4.9682974e-12 - 9.9788744e-13 4.7510763e-12 - 9.6707516e-13 4.5542574e-12 - 9.3872186e-13 4.3750084e-12 - 9.1252289e-13 4.2110051e-12 - 8.8822347e-13 4.0603213e-12 - 8.6560873e-13 3.9213454e-12 - 8.4449604e-13 3.7927233e-12 - 8.2472912e-13 3.6732987e-12 - 8.0617331e-13 3.5620891e-12 - 7.8871196e-13 3.4582455e-12 - 7.7224341e-13 3.3610353e-12 - 7.5667864e-13 3.2698216e-12 - 7.4193931e-13 3.1840465e-12 - 7.2795620e-13 3.1032212e-12 - 7.1466788e-13 3.0269139e-12 - 7.0201962e-13 2.9547436e-12 - 6.8996250e-13 2.8863705e-12 - 6.7845261e-13 2.8214909e-12 - 6.6745046e-13 2.7598353e-12 - 6.5692040e-13 2.7011601e-12 - 6.4683013e-13 2.6452459e-12 - 6.3715036e-13 2.5918959e-12 - 6.2785444e-13 2.5409307e-12 - 6.1891804e-13 2.4921875e-12 - 6.1031893e-13 2.4455194e-12 - 6.0203673e-13 2.4007913e-12 - 2.3270676e-12 1.4648558e-11 - 2.0500485e-12 1.2399227e-11 - 1.8468210e-12 1.0800780e-11 - 1.6900292e-12 9.6011238e-12 - 1.5646003e-12 8.6645354e-12 - 1.4614796e-12 7.9111569e-12 - 1.3748674e-12 7.2907953e-12 - 1.3008606e-12 6.7702396e-12 - 1.2367265e-12 6.3266008e-12 - 1.1804890e-12 5.9435694e-12 - 1.1306805e-12 5.6091943e-12 - 1.0861855e-12 5.3145068e-12 - 1.0461397e-12 5.0526434e-12 - 1.0098616e-12 4.8182543e-12 - 9.7680647e-13 4.6071061e-12 - 9.4653256e-13 4.4158063e-12 - 9.1867782e-13 4.2415961e-12 - 8.9294229e-13 4.0822157e-12 - 8.6907515e-13 3.9357893e-12 - 8.4686490e-13 3.8007506e-12 - 8.2613178e-13 3.6757781e-12 - 8.0672199e-13 3.5597515e-12 - 7.8850303e-13 3.4517122e-12 - 7.7136010e-13 3.3508351e-12 - 7.5519318e-13 3.2564084e-12 - 7.3991468e-13 3.1678104e-12 - 7.2544756e-13 3.0845004e-12 - 7.1172370e-13 3.0060026e-12 - 6.9868268e-13 2.9318962e-12 - 6.8627067e-13 2.8618111e-12 - 6.7443955e-13 2.7954164e-12 - 6.6314614e-13 2.7324184e-12 - 6.5235161e-13 2.6725529e-12 - 6.4202087e-13 2.6155840e-12 - 6.3212220e-13 2.5612985e-12 - 6.2262678e-13 2.5095048e-12 - 6.1350840e-13 2.4600287e-12 - 6.0474315e-13 2.4127115e-12 - 5.9630917e-13 2.3674104e-12 - 5.8818644e-13 2.3239945e-12 - 2.2853397e-12 1.4238140e-11 - 2.0123867e-12 1.2048183e-11 - 1.8122075e-12 1.0492237e-11 - 1.6578133e-12 9.3246868e-12 - 1.5343352e-12 8.4133097e-12 - 1.4328426e-12 7.6803202e-12 - 1.3476165e-12 7.0768293e-12 - 1.2748086e-12 6.5704936e-12 - 1.2117252e-12 6.1390248e-12 - 1.1564189e-12 5.7665412e-12 - 1.1074430e-12 5.4414092e-12 - 1.0636986e-12 5.1548947e-12 - 1.0243339e-12 4.9003194e-12 - 9.8867777e-13 4.6724734e-12 - 9.5619344e-13 4.4672376e-12 - 9.2644592e-13 4.2813086e-12 - 8.9907863e-13 4.1120029e-12 - 8.7379623e-13 3.9571220e-12 - 8.5035176e-13 3.8148388e-12 - 8.2853702e-13 3.6836303e-12 - 8.0817507e-13 3.5622111e-12 - 7.8911451e-13 3.4494908e-12 - 7.7122495e-13 3.3445366e-12 - 7.5439341e-13 3.2465468e-12 - 7.3852148e-13 3.1548272e-12 - 7.2352297e-13 3.0687751e-12 - 7.0932206e-13 2.9878633e-12 - 6.9585176e-13 2.9116290e-12 - 6.8305262e-13 2.8396641e-12 - 6.7087168e-13 2.7716070e-12 - 6.5926161e-13 2.7071374e-12 - 6.4817993e-13 2.6459687e-12 - 6.3758845e-13 2.5878442e-12 - 6.2745267e-13 2.5325354e-12 - 6.1774139e-13 2.4798341e-12 - 6.0842627e-13 2.4295540e-12 - 5.9948154e-13 2.3815255e-12 - 5.9088369e-13 2.3355958e-12 - 5.8261123e-13 2.2916241e-12 - 5.7464447e-13 2.2494846e-12 - 2.2445435e-12 1.3838695e-11 - 1.9755631e-12 1.1706598e-11 - 1.7783632e-12 1.0192070e-11 - 1.6263124e-12 9.0557997e-12 - 1.5047412e-12 8.1689859e-12 - 1.4048401e-12 7.4558588e-12 - 1.3209689e-12 6.8687991e-12 - 1.2493331e-12 6.3763119e-12 - 1.1872771e-12 5.9566950e-12 - 1.1328812e-12 5.5944835e-12 - 1.0847195e-12 5.2783501e-12 - 1.0417090e-12 4.9997956e-12 - 1.0030104e-12 4.7523150e-12 - 9.6796246e-13 4.5308380e-12 - 9.3603630e-13 4.3313573e-12 - 9.0680351e-13 4.1506563e-12 - 8.7991289e-13 3.9861254e-12 - 8.5507360e-13 3.8356228e-12 - 8.3204247e-13 3.6973719e-12 - 8.1061452e-13 3.5698906e-12 - 7.9061556e-13 3.4519296e-12 - 7.7189656e-13 3.3424262e-12 - 7.5432918e-13 3.2404739e-12 - 7.3780222e-13 3.1452925e-12 - 7.2221882e-13 3.0562076e-12 - 7.0749418e-13 2.9726317e-12 - 6.9355368e-13 2.8940532e-12 - 6.8033141e-13 2.8200210e-12 - 6.6776886e-13 2.7501386e-12 - 6.5581395e-13 2.6840550e-12 - 6.4442009e-13 2.6214579e-12 - 6.3354553e-13 2.5620691e-12 - 6.2315267e-13 2.5056383e-12 - 6.1320761e-13 2.4519436e-12 - 6.0367962e-13 2.4007832e-12 - 5.9454087e-13 2.3519750e-12 - 5.8576600e-13 2.3053546e-12 - 5.7733189e-13 2.2607732e-12 - 5.6921741e-13 2.2180950e-12 - 5.6140322e-13 2.1771959e-12 - 2.2046532e-12 1.3449932e-11 - 1.9395549e-12 1.1374229e-11 - 1.7452670e-12 9.9000551e-12 - 1.5955071e-12 8.7942645e-12 - 1.4758001e-12 7.9313799e-12 - 1.3774549e-12 7.2375979e-12 - 1.2949085e-12 6.6665434e-12 - 1.2244189e-12 6.1875454e-12 - 1.1633676e-12 5.7794706e-12 - 1.1098620e-12 5.4272610e-12 - 1.0624967e-12 5.1198912e-12 - 1.0202039e-12 4.8490847e-12 - 9.8215674e-13 4.6085106e-12 - 9.4770352e-13 4.3932354e-12 - 9.1632325e-13 4.1993568e-12 - 8.8759386e-13 4.0237448e-12 - 8.6116943e-13 3.8638599e-12 - 8.3676352e-13 3.7176175e-12 - 8.1413668e-13 3.5832921e-12 - 7.9308706e-13 3.4594387e-12 - 7.7344317e-13 3.3448417e-12 - 7.5505828e-13 3.2384687e-12 - 7.3780606e-13 3.1394373e-12 - 7.2157705e-13 3.0469890e-12 - 7.0627592e-13 2.9604669e-12 - 6.9181920e-13 2.8793005e-12 - 6.7813345e-13 2.8029918e-12 - 6.6515382e-13 2.7311022e-12 - 6.5282274e-13 2.6632462e-12 - 6.4108895e-13 2.5990819e-12 - 6.2990662e-13 2.5383060e-12 - 6.1923467e-13 2.4806474e-12 - 6.0903613e-13 2.4258647e-12 - 5.9927762e-13 2.3737398e-12 - 5.8992896e-13 2.3240774e-12 - 5.8096274e-13 2.2767006e-12 - 5.7235404e-13 2.2314501e-12 - 5.6408012e-13 2.1881801e-12 - 5.5612021e-13 2.1467590e-12 - 5.4845527e-13 2.1070667e-12 - 2.1656432e-12 1.3071572e-11 - 1.9043394e-12 1.1050824e-11 - 1.7128985e-12 9.6159808e-12 - 1.5653785e-12 8.5398844e-12 - 1.4474942e-12 7.7003114e-12 - 1.3506705e-12 7.0253751e-12 - 1.2694197e-12 6.4699100e-12 - 1.2000511e-12 6.0040476e-12 - 1.1399825e-12 5.6072109e-12 - 1.0873477e-12 5.2647441e-12 - 1.0407612e-12 4.9659051e-12 - 9.9917052e-13 4.7026438e-12 - 9.6176051e-13 4.4687926e-12 - 9.2788903e-13 4.2595549e-12 - 8.9704271e-13 4.0711287e-12 - 8.6880572e-13 3.9004696e-12 - 8.4283732e-13 3.7451066e-12 - 8.1885535e-13 3.6030123e-12 - 7.9662401e-13 3.4725057e-12 - 7.7594451e-13 3.3521820e-12 - 7.5664799e-13 3.2408595e-12 - 7.3858999e-13 3.1375325e-12 - 7.2164612e-13 3.0413434e-12 - 7.0570863e-13 2.9515540e-12 - 6.9068367e-13 2.8675252e-12 - 6.7648909e-13 2.7887031e-12 - 6.6305261e-13 2.7146021e-12 - 6.5031038e-13 2.6447970e-12 - 6.3820577e-13 2.5789117e-12 - 6.2668832e-13 2.5166141e-12 - 6.1571296e-13 2.4576097e-12 - 6.0523925e-13 2.4016354e-12 - 5.9523083e-13 2.3484544e-12 - 5.8565486e-13 2.2978567e-12 - 5.7648164e-13 2.2496510e-12 - 5.6768423e-13 2.2036668e-12 - 5.5923811e-13 2.1597479e-12 - 5.5112093e-13 2.1177529e-12 - 5.4331224e-13 2.0775546e-12 - 5.3579334e-13 2.0390350e-12 - 2.1274884e-12 1.2703341e-11 - 1.8698943e-12 1.0736153e-11 - 1.6812374e-12 9.3396267e-12 - 1.5359078e-12 8.2924663e-12 - 1.4198061e-12 7.4756048e-12 - 1.3244705e-12 6.8190255e-12 - 1.2444869e-12 6.2787436e-12 - 1.1762149e-12 5.8256752e-12 - 1.1171076e-12 5.4397846e-12 - 1.0653248e-12 5.1068020e-12 - 1.0195002e-12 4.8162711e-12 - 9.7859633e-13 4.5603526e-12 - 9.4180965e-13 4.3330495e-12 - 9.0850728e-13 4.1296869e-12 - 8.7818333e-13 3.9465686e-12 - 8.5042807e-13 3.7807309e-12 - 8.2490583e-13 3.6297700e-12 - 8.0133866e-13 3.4917114e-12 - 7.7949429e-13 3.3649215e-12 - 7.5917695e-13 3.2480335e-12 - 7.4022034e-13 3.1398964e-12 - 7.2248221e-13 3.0395339e-12 - 7.0584008e-13 2.9461099e-12 - 6.9018786e-13 2.8589068e-12 - 6.7543316e-13 2.7773047e-12 - 6.6149510e-13 2.7007630e-12 - 6.4830253e-13 2.6288101e-12 - 6.3579262e-13 2.5610323e-12 - 6.2390962e-13 2.4970643e-12 - 6.1260388e-13 2.4365829e-12 - 6.0183104e-13 2.3793014e-12 - 5.9155132e-13 2.3249643e-12 - 5.8172894e-13 2.2733417e-12 - 5.7233159e-13 2.2242286e-12 - 5.6333006e-13 2.1774404e-12 - 5.5469784e-13 2.1328098e-12 - 5.4641082e-13 2.0901856e-12 - 5.3844701e-13 2.0494310e-12 - 5.3078632e-13 2.0104208e-12 - 5.2341034e-13 1.9730422e-12 - 2.0901642e-12 1.2344971e-11 - 1.8361978e-12 1.0429981e-11 - 1.6502637e-12 9.0707949e-12 - 1.5070767e-12 8.0518272e-12 - 1.3927186e-12 7.2570882e-12 - 1.2988388e-12 6.6183902e-12 - 1.2200950e-12 6.0928985e-12 - 1.1528959e-12 5.6522917e-12 - 1.0947292e-12 5.2770597e-12 - 1.0437800e-12 4.9533107e-12 - 9.9870094e-13 4.6708692e-12 - 9.5846908e-13 4.4221024e-12 - 9.2229230e-13 4.2011725e-12 - 8.8954678e-13 4.0035295e-12 - 8.5973397e-13 3.8255775e-12 - 8.3245011e-13 3.6644324e-12 - 8.0736447e-13 3.5177548e-12 - 7.8420322e-13 3.3836245e-12 - 7.6273756e-13 3.2604516e-12 - 7.4277466e-13 3.1469059e-12 - 7.2415072e-13 3.0418695e-12 - 7.0672565e-13 2.9443904e-12 - 6.9037884e-13 2.8536568e-12 - 6.7500583e-13 2.7689713e-12 - 6.6051563e-13 2.6897296e-12 - 6.4682863e-13 2.6154061e-12 - 6.3387479e-13 2.5455428e-12 - 6.2159225e-13 2.4797370e-12 - 6.0992614e-13 2.4176337e-12 - 5.9882760e-13 2.3589190e-12 - 5.8825297e-13 2.3033135e-12 - 5.7816310e-13 2.2505682e-12 - 5.6852279e-13 2.2004614e-12 - 5.5930026e-13 2.1527928e-12 - 5.5046676e-13 2.1073825e-12 - 5.4199622e-13 2.0640678e-12 - 5.3386492e-13 2.0227033e-12 - 5.2605123e-13 1.9831541e-12 - 5.1853538e-13 1.9453004e-12 - 5.1129929e-13 1.9090308e-12 - 2.0536462e-12 1.1996204e-11 - 1.8032283e-12 1.0132083e-11 - 1.6199580e-12 8.8092862e-12 - 1.4788670e-12 7.8177822e-12 - 1.3662149e-12 7.0445976e-12 - 1.2737596e-12 6.4233190e-12 - 1.1962291e-12 5.9122303e-12 - 1.1300800e-12 5.4837579e-12 - 1.0728338e-12 5.1189072e-12 - 1.0227004e-12 4.8041521e-12 - 9.7835093e-13 4.5295850e-12 - 9.3877673e-13 4.2877806e-12 - 9.0319682e-13 4.0730535e-12 - 8.7099629e-13 3.8809786e-12 - 8.4168372e-13 3.7080553e-12 - 8.1486125e-13 3.5514782e-12 - 7.9020294e-13 3.4089697e-12 - 7.6743902e-13 3.2786623e-12 - 7.4634407e-13 3.1590088e-12 - 7.2672812e-13 3.0487167e-12 - 7.0842983e-13 2.9466967e-12 - 6.9131122e-13 2.8520236e-12 - 6.7525350e-13 2.7639083e-12 - 6.6015379e-13 2.6816712e-12 - 6.4592252e-13 2.6047255e-12 - 6.3248127e-13 2.5325603e-12 - 6.1976111e-13 2.4647301e-12 - 6.0770114e-13 2.4008424e-12 - 5.9624733e-13 2.3405528e-12 - 5.8535160e-13 2.2835561e-12 - 5.7497099e-13 2.2295805e-12 - 5.6506697e-13 2.1783839e-12 - 5.5560488e-13 2.1297508e-12 - 5.4655347e-13 2.0834864e-12 - 5.3788446e-13 2.0394161e-12 - 5.2957219e-13 1.9973822e-12 - 5.2159332e-13 1.9572413e-12 - 5.1392658e-13 1.9188648e-12 - 5.0655254e-13 1.8821352e-12 - 4.9945338e-13 1.8469437e-12 - 2.0179107e-12 1.1656787e-11 - 1.7709647e-12 9.8422434e-12 - 1.5903009e-12 8.5549032e-12 - 1.4512609e-12 7.5901564e-12 - 1.3402785e-12 6.8379704e-12 - 1.2492174e-12 6.2336590e-12 - 1.1728745e-12 5.7366016e-12 - 1.1077532e-12 5.3199471e-12 - 1.0514081e-12 4.9652043e-12 - 1.0020732e-12 4.6592042e-12 - 9.5843789e-13 4.3923059e-12 - 9.1950743e-13 4.1572789e-12 - 8.8451179e-13 3.9485918e-12 - 8.5284474e-13 3.7619370e-12 - 8.2402189e-13 3.5939086e-12 - 7.9765110e-13 3.4417765e-12 - 7.7341117e-13 3.3033257e-12 - 7.5103625e-13 3.1767386e-12 - 7.3030425e-13 3.0605104e-12 - 7.1102799e-13 2.9533834e-12 - 6.9304854e-13 2.8542986e-12 - 6.7622997e-13 2.7623562e-12 - 6.6045529e-13 2.6767880e-12 - 6.4562317e-13 2.5969330e-12 - 6.3164539e-13 2.5222215e-12 - 6.1844476e-13 2.4521557e-12 - 6.0595338e-13 2.3863021e-12 - 5.9411130e-13 2.3242806e-12 - 5.8286534e-13 2.2657556e-12 - 5.7216818e-13 2.2104295e-12 - 5.6197752e-13 2.1580390e-12 - 5.5225544e-13 2.1083492e-12 - 5.4296785e-13 2.0611489e-12 - 5.3408398e-13 2.0162501e-12 - 5.2557601e-13 1.9734830e-12 - 5.1741870e-13 1.9326936e-12 - 5.0958908e-13 1.8937435e-12 - 5.0206623e-13 1.8565074e-12 - 4.9483103e-13 1.8208699e-12 - 4.8786596e-13 1.7867269e-12 - 1.9829341e-12 1.1326475e-11 - 1.7393859e-12 9.5602455e-12 - 1.5612733e-12 8.3074527e-12 - 1.4242411e-12 7.3687807e-12 - 1.3148931e-12 6.6370500e-12 - 1.2251969e-12 6.0492651e-12 - 1.1500168e-12 5.5658736e-12 - 1.0859018e-12 5.1607279e-12 - 1.0304390e-12 4.8158290e-12 - 9.8188585e-13 4.5183550e-12 - 9.3894976e-13 4.2589219e-12 - 9.0064959e-13 4.0304940e-12 - 8.6622600e-13 3.8276848e-12 - 8.3508131e-13 3.6463062e-12 - 8.0673799e-13 3.4830425e-12 - 7.8080949e-13 3.3352371e-12 - 7.5697926e-13 3.2007354e-12 - 7.3498528e-13 3.0777692e-12 - 7.1460870e-13 2.9648746e-12 - 6.9566510e-13 2.8608281e-12 - 6.7799788e-13 2.7645990e-12 - 6.6147314e-13 2.6753127e-12 - 6.4597563e-13 2.5922225e-12 - 6.3140554e-13 2.5146854e-12 - 6.1767600e-13 2.4421467e-12 - 6.0471097e-13 2.3741234e-12 - 5.9244362e-13 2.3101932e-12 - 5.8081491e-13 2.2499868e-12 - 5.6977249e-13 2.1931773e-12 - 5.5926976e-13 2.1394766e-12 - 5.4926511e-13 2.0886280e-12 - 5.3972120e-13 2.0404022e-12 - 5.3060449e-13 1.9945960e-12 - 5.2188470e-13 1.9510252e-12 - 5.1353444e-13 1.9095253e-12 - 5.0552887e-13 1.8699463e-12 - 4.9784542e-13 1.8321539e-12 - 4.9046349e-13 1.7960259e-12 - 4.8336426e-13 1.7614508e-12 - 4.7653050e-13 1.7283274e-12 - 1.9486933e-12 1.1005022e-11 - 1.7084716e-12 9.2858817e-12 - 1.5328566e-12 8.0667569e-12 - 1.3977902e-12 7.1534872e-12 - 1.2900427e-12 6.4416824e-12 - 1.2016832e-12 5.8699963e-12 - 1.1276419e-12 5.3999130e-12 - 1.0645124e-12 5.0059784e-12 - 1.0099135e-12 4.6706639e-12 - 9.6212604e-13 4.3814929e-12 - 9.1987469e-13 4.1293282e-12 - 8.8219177e-13 3.9073232e-12 - 8.4832844e-13 3.7102370e-12 - 8.1769536e-13 3.5339943e-12 - 7.8982171e-13 3.3753679e-12 - 7.6432644e-13 3.2317742e-12 - 7.4089750e-13 3.1011154e-12 - 7.1927666e-13 2.9816730e-12 - 6.9924822e-13 2.8720219e-12 - 6.8063046e-13 2.7709721e-12 - 6.6326907e-13 2.6775222e-12 - 6.4703212e-13 2.5908210e-12 - 6.3180608e-13 2.5101412e-12 - 6.1749264e-13 2.4348591e-12 - 6.0400623e-13 2.3644341e-12 - 5.9127197e-13 2.2983973e-12 - 5.7922403e-13 2.2363378e-12 - 5.6780430e-13 2.1778963e-12 - 5.5696123e-13 2.1227563e-12 - 5.4664895e-13 2.0706358e-12 - 5.3682648e-13 2.0212861e-12 - 5.2745709e-13 1.9744851e-12 - 5.1850775e-13 1.9300345e-12 - 5.0994866e-13 1.8877555e-12 - 5.0175288e-13 1.8474868e-12 - 4.9389596e-13 1.8090849e-12 - 4.8635568e-13 1.7724181e-12 - 4.7911177e-13 1.7373678e-12 - 4.7214573e-13 1.7038256e-12 - 4.6544061e-13 1.6716931e-12 - 1.9151653e-12 1.0692204e-11 - 1.6782012e-12 9.0189527e-12 - 1.5050323e-12 7.8326319e-12 - 1.3718912e-12 6.9441109e-12 - 1.2657115e-12 6.2517183e-12 - 1.1786615e-12 5.6957139e-12 - 1.1057357e-12 5.2385947e-12 - 1.0435716e-12 4.8555759e-12 - 9.8981908e-13 4.5295950e-12 - 9.4278160e-13 4.2485070e-12 - 9.0120102e-13 4.0034190e-12 - 8.6412277e-13 3.7876674e-12 - 8.3080831e-13 3.5961538e-12 - 8.0067645e-13 3.4249092e-12 - 7.7326295e-13 3.2707967e-12 - 7.4819213e-13 3.1313010e-12 - 7.2515636e-13 3.0043830e-12 - 7.0390110e-13 2.8883696e-12 - 6.8421376e-13 2.7818750e-12 - 6.6591522e-13 2.6837416e-12 - 6.4885345e-13 2.5929952e-12 - 6.3289846e-13 2.5088086e-12 - 6.1793837e-13 2.4304744e-12 - 6.0387636e-13 2.3573853e-12 - 5.9062813e-13 2.2890169e-12 - 5.7811994e-13 2.2249121e-12 - 5.6628696e-13 2.1646728e-12 - 5.5507195e-13 2.1079484e-12 - 5.4442418e-13 2.0544309e-12 - 5.3429848e-13 2.0038475e-12 - 5.2465450e-13 1.9559564e-12 - 5.1545608e-13 1.9105408e-12 - 5.0667071e-13 1.8674077e-12 - 4.9826908e-13 1.8263842e-12 - 4.9022464e-13 1.7873138e-12 - 4.8251335e-13 1.7500563e-12 - 4.7511334e-13 1.7144838e-12 - 4.6800467e-13 1.6804812e-12 - 4.6116913e-13 1.6479433e-12 - 4.5459003e-13 1.6167742e-12 - 1.8823277e-12 1.0387784e-11 - 1.6485546e-12 8.7592555e-12 - 1.4777821e-12 7.6049021e-12 - 1.3465275e-12 6.7404945e-12 - 1.2418840e-12 6.0670138e-12 - 1.1561173e-12 5.5262854e-12 - 1.0842846e-12 5.0817903e-12 - 1.0230664e-12 4.7094017e-12 - 9.7014319e-13 4.3925111e-12 - 9.2384061e-13 4.1192929e-12 - 8.8291731e-13 3.8810947e-12 - 8.4643160e-13 3.6714308e-12 - 8.1365501e-13 3.4853410e-12 - 7.8401433e-13 3.3189625e-12 - 7.5705178e-13 3.1692432e-12 - 7.3239693e-13 3.0337368e-12 - 7.0974648e-13 2.9104587e-12 - 6.8884949e-13 2.7977818e-12 - 6.6949641e-13 2.6943584e-12 - 6.5151071e-13 2.5990631e-12 - 6.3474255e-13 2.5109475e-12 - 6.1906384e-13 2.4292069e-12 - 6.0436437e-13 2.3531543e-12 - 5.9054873e-13 2.2821995e-12 - 5.7753389e-13 2.2158315e-12 - 5.6524723e-13 2.1536059e-12 - 5.5362488e-13 2.0951363e-12 - 5.4261050e-13 2.0400821e-12 - 5.3215411e-13 1.9881430e-12 - 5.2221123e-13 1.9390548e-12 - 5.1274216e-13 1.8925814e-12 - 5.0371129e-13 1.8485129e-12 - 4.9508661e-13 1.8066612e-12 - 4.8683927e-13 1.7668588e-12 - 4.7894315e-13 1.7289533e-12 - 4.7137458e-13 1.6928083e-12 - 4.6411203e-13 1.6582998e-12 - 4.5713588e-13 1.6253158e-12 - 4.5042821e-13 1.5937541e-12 - 4.4397261e-13 1.5635214e-12 - 1.8501579e-12 1.0091549e-11 - 1.6195122e-12 8.5066047e-12 - 1.4510882e-12 7.3833970e-12 - 1.3216826e-12 6.5424847e-12 - 1.2185450e-12 5.8874279e-12 - 1.1340360e-12 5.3615772e-12 - 1.0632749e-12 4.9293796e-12 - 1.0029840e-12 4.5673437e-12 - 9.5087357e-13 4.2593027e-12 - 9.0529132e-13 3.9937472e-12 - 8.6501230e-13 3.7622577e-12 - 8.2910743e-13 3.5585208e-12 - 7.9685810e-13 3.3777099e-12 - 7.6769894e-13 3.2160677e-12 - 7.4117847e-13 3.0706244e-12 - 7.1693139e-13 2.9390004e-12 - 6.9465866e-13 2.8192644e-12 - 6.7411287e-13 2.7098349e-12 - 6.5508744e-13 2.6094004e-12 - 6.3740838e-13 2.5168657e-12 - 6.2092802e-13 2.4313096e-12 - 6.0552012e-13 2.3519486e-12 - 5.9107609e-13 2.2781165e-12 - 5.7750194e-13 2.2092365e-12 - 5.6471587e-13 2.1448142e-12 - 5.5264634e-13 2.0844173e-12 - 5.4123045e-13 2.0276686e-12 - 5.3041271e-13 1.9742386e-12 - 5.2014391e-13 1.9238350e-12 - 5.1038025e-13 1.8762004e-12 - 5.0108262e-13 1.8311055e-12 - 4.9221598e-13 1.7883469e-12 - 4.8374882e-13 1.7477417e-12 - 4.7565271e-13 1.7091263e-12 - 4.6790197e-13 1.6723534e-12 - 4.6047329e-13 1.6372902e-12 - 4.5334548e-13 1.6038163e-12 - 4.4649923e-13 1.5718225e-12 - 4.3991691e-13 1.5412097e-12 - 4.3358235e-13 1.5118875e-12 - 1.8186340e-12 9.8032791e-12 - 1.5910541e-12 8.2608106e-12 - 1.4249328e-12 7.1679559e-12 - 1.2973403e-12 6.3499315e-12 - 1.1956793e-12 5.7128210e-12 - 1.1124038e-12 5.2014641e-12 - 1.0426932e-12 4.7812414e-12 - 9.8331152e-13 4.4292884e-12 - 9.3199812e-13 4.1298649e-12 - 8.8712220e-13 3.8717711e-12 - 8.4747494e-13 3.6468117e-12 - 8.1213964e-13 3.4488445e-12 - 7.8040735e-13 3.2731724e-12 - 7.5172038e-13 3.1161408e-12 - 7.2563342e-13 2.9748591e-12 - 7.0178620e-13 2.8470135e-12 - 6.7988385e-13 2.7307251e-12 - 6.5968242e-13 2.6244550e-12 - 6.4097826e-13 2.5269284e-12 - 6.2359986e-13 2.4370802e-12 - 6.0740167e-13 2.3540141e-12 - 5.9225929e-13 2.2769691e-12 - 5.7806571e-13 2.2052955e-12 - 5.6472833e-13 2.1384350e-12 - 5.5216655e-13 2.0759051e-12 - 5.4030991e-13 2.0172861e-12 - 5.2909645e-13 1.9622122e-12 - 5.1847152e-13 1.9103616e-12 - 5.0838664e-13 1.8614505e-12 - 4.9879869e-13 1.8152297e-12 - 4.8966916e-13 1.7714758e-12 - 4.8096354e-13 1.7299908e-12 - 4.7265082e-13 1.6905975e-12 - 4.6470300e-13 1.6531364e-12 - 4.5709480e-13 1.6174647e-12 - 4.4980327e-13 1.5834530e-12 - 4.4280757e-13 1.5509846e-12 - 4.3608867e-13 1.5199536e-12 - 4.2962923e-13 1.4902634e-12 - 4.2341335e-13 1.4618264e-12 - 1.7877341e-12 9.5227646e-12 - 1.5631611e-12 8.0216941e-12 - 1.3992984e-12 6.9584117e-12 - 1.2734844e-12 6.1626883e-12 - 1.1732721e-12 5.5430607e-12 - 1.0912064e-12 5.0458202e-12 - 1.0225265e-12 4.6372631e-12 - 9.6403658e-13 4.2951275e-12 - 9.1350497e-13 4.0040954e-12 - 8.6932189e-13 3.7532653e-12 - 8.3029435e-13 3.5346642e-12 - 7.9551778e-13 3.3423137e-12 - 7.6429270e-13 3.1716444e-12 - 7.3606893e-13 3.0191000e-12 - 7.1040721e-13 2.8818691e-12 - 6.8695222e-13 2.7577002e-12 - 6.6541315e-13 2.6447668e-12 - 6.4554949e-13 2.5415715e-12 - 6.2716044e-13 2.4468738e-12 - 6.1007692e-13 2.3596394e-12 - 5.9415547e-13 2.2789956e-12 - 5.7927350e-13 2.2042031e-12 - 5.6532555e-13 2.1346305e-12 - 5.5222038e-13 2.0697339e-12 - 5.3987858e-13 2.0090447e-12 - 5.2823073e-13 1.9521551e-12 - 5.1721582e-13 1.8987093e-12 - 5.0677998e-13 1.8483946e-12 - 4.9687548e-13 1.8009360e-12 - 4.8745986e-13 1.7560895e-12 - 4.7849520e-13 1.7136395e-12 - 4.6994751e-13 1.6733931e-12 - 4.6178624e-13 1.6351779e-12 - 4.5398386e-13 1.5988392e-12 - 4.4651544e-13 1.5642378e-12 - 4.3935842e-13 1.5312488e-12 - 4.3249227e-13 1.4997580e-12 - 4.2589827e-13 1.4696628e-12 - 4.1955933e-13 1.4408694e-12 - 4.1345983e-13 1.4132925e-12 - 1.7574365e-12 9.2498041e-12 - 1.5358139e-12 7.7890713e-12 - 1.3741677e-12 6.7546082e-12 - 1.2500993e-12 5.9806121e-12 - 1.1513086e-12 5.3780184e-12 - 1.0704303e-12 4.8945270e-12 - 1.0027617e-12 4.4973283e-12 - 9.4514688e-13 4.1647541e-12 - 8.9538242e-13 3.8818923e-12 - 8.5187924e-13 3.6381364e-12 - 8.1345986e-13 3.4257250e-12 - 7.7923160e-13 3.2388424e-12 - 7.4850426e-13 3.0730425e-12 - 7.2073502e-13 2.9248656e-12 - 6.9549057e-13 2.7915774e-12 - 6.7242045e-13 2.6709869e-12 - 6.5123784e-13 2.5613179e-12 - 6.3170557e-13 2.4611141e-12 - 6.1362567e-13 2.3691698e-12 - 5.9683146e-13 2.2844781e-12 - 5.8118153e-13 2.2061912e-12 - 5.6655505e-13 2.1335898e-12 - 5.5284809e-13 2.0660598e-12 - 5.3997073e-13 2.0030737e-12 - 5.2784475e-13 1.9441753e-12 - 5.1640175e-13 1.8889672e-12 - 5.0558161e-13 1.8371052e-12 - 4.9533129e-13 1.7882846e-12 - 4.8560377e-13 1.7422378e-12 - 4.7635722e-13 1.6987283e-12 - 4.6755430e-13 1.6575462e-12 - 4.5916153e-13 1.6185038e-12 - 4.5114885e-13 1.5814341e-12 - 4.4348913e-13 1.5461866e-12 - 4.3615785e-13 1.5126262e-12 - 4.2913277e-13 1.4806308e-12 - 4.2239369e-13 1.4500906e-12 - 4.1592220e-13 1.4209051e-12 - 4.0970148e-13 1.3929834e-12 - 4.0371612e-13 1.3662426e-12 - 1.7277198e-12 8.9841937e-12 - 1.5089938e-12 7.5627773e-12 - 1.3495239e-12 6.5563961e-12 - 1.2271693e-12 5.8035674e-12 - 1.1297744e-12 5.2175638e-12 - 1.0500618e-12 4.7474649e-12 - 9.8338601e-13 4.3613300e-12 - 9.2663029e-13 4.0380663e-12 - 8.7761898e-13 3.7631608e-12 - 8.3478329e-13 3.5262919e-12 - 7.9696097e-13 3.3199062e-12 - 7.6327100e-13 3.1383462e-12 - 7.3303228e-13 2.9772862e-12 - 7.0570925e-13 2.8333606e-12 - 6.8087441e-13 2.7039087e-12 - 6.5818205e-13 2.5868008e-12 - 6.3734931e-13 2.4803085e-12 - 6.1814231e-13 2.3830156e-12 - 6.0036584e-13 2.2937497e-12 - 5.8385557e-13 2.2115322e-12 - 5.6847212e-13 2.1355380e-12 - 5.5409638e-13 2.0650681e-12 - 5.4062593e-13 1.9995254e-12 - 5.2797216e-13 1.9383978e-12 - 5.1605800e-13 1.8812403e-12 - 5.0481603e-13 1.8276688e-12 - 4.9418705e-13 1.7773468e-12 - 4.8411880e-13 1.7299787e-12 - 4.7456495e-13 1.6853049e-12 - 4.6548433e-13 1.6430955e-12 - 4.5684012e-13 1.6031459e-12 - 4.4859940e-13 1.5652745e-12 - 4.4073252e-13 1.5293182e-12 - 4.3321279e-13 1.4951316e-12 - 4.2601607e-13 1.4625829e-12 - 4.1912046e-13 1.4315540e-12 - 4.1250608e-13 1.4019374e-12 - 4.0615479e-13 1.3736362e-12 - 4.0005004e-13 1.3465620e-12 - 3.9417669e-13 1.3206340e-12 - 1.6985627e-12 8.7257422e-12 - 1.4826820e-12 7.3426429e-12 - 1.3253499e-12 6.3636211e-12 - 1.2046790e-12 5.6314167e-12 - 1.1086551e-12 5.0615755e-12 - 1.0300875e-12 4.6045225e-12 - 9.6438684e-13 4.2291611e-12 - 9.0847491e-13 3.9149635e-12 - 8.6020333e-13 3.6478048e-12 - 8.1802324e-13 3.4176411e-12 - 7.8078734e-13 3.2171222e-12 - 7.4762605e-13 3.0407438e-12 - 7.1786722e-13 2.8842974e-12 - 6.9098237e-13 2.7445091e-12 - 6.6654975e-13 2.6187919e-12 - 6.4422834e-13 2.5050722e-12 - 6.2373914e-13 2.4016713e-12 - 6.0485150e-13 2.3072103e-12 - 5.8737295e-13 2.2205510e-12 - 5.7114147e-13 2.1407399e-12 - 5.5601965e-13 2.0669757e-12 - 5.4189010e-13 1.9985795e-12 - 5.2865185e-13 1.9349703e-12 - 5.1621761e-13 1.8756493e-12 - 5.0451139e-13 1.8201862e-12 - 4.9346680e-13 1.7682057e-12 - 4.8302549e-13 1.7193811e-12 - 4.7313598e-13 1.6734257e-12 - 4.6375263e-13 1.6300872e-12 - 4.5483488e-13 1.5891417e-12 - 4.4634649e-13 1.5503908e-12 - 4.3825501e-13 1.5136576e-12 - 4.3053125e-13 1.4787843e-12 - 4.2314894e-13 1.4456289e-12 - 4.1608429e-13 1.4140638e-12 - 4.0931576e-13 1.3839740e-12 - 4.0282376e-13 1.3552555e-12 - 3.9659044e-13 1.3278139e-12 - 3.9059952e-13 1.3015630e-12 - 3.8483609e-13 1.2764252e-12 - 1.6699443e-12 8.4742607e-12 - 1.4568600e-12 7.1285010e-12 - 1.3016292e-12 6.1761421e-12 - 1.1826131e-12 5.4640305e-12 - 1.0879366e-12 4.9099342e-12 - 1.0104942e-12 4.4655855e-12 - 9.4575179e-13 4.1007182e-12 - 8.9066902e-13 3.7953482e-12 - 8.4312435e-13 3.5357332e-12 - 8.0158849e-13 3.3120974e-12 - 7.6492882e-13 3.1172898e-12 - 7.3228699e-13 2.9459552e-12 - 7.0299965e-13 2.7939996e-12 - 6.7654529e-13 2.6582382e-12 - 6.5250781e-13 2.5361549e-12 - 6.3055079e-13 2.4257329e-12 - 6.1039904e-13 2.3253396e-12 - 5.9182511e-13 2.2336350e-12 - 5.7463918e-13 2.1495103e-12 - 5.5868154e-13 2.0720408e-12 - 5.4381670e-13 2.0004467e-12 - 5.2992894e-13 1.9340676e-12 - 5.1691877e-13 1.8723385e-12 - 5.0470013e-13 1.8147754e-12 - 4.9319816e-13 1.7609593e-12 - 4.8234741e-13 1.7105259e-12 - 4.7209041e-13 1.6631578e-12 - 4.6237643e-13 1.6185764e-12 - 4.5316053e-13 1.5765358e-12 - 4.4440272e-13 1.5368193e-12 - 4.3606733e-13 1.4992335e-12 - 4.2812239e-13 1.4636072e-12 - 4.2053917e-13 1.4297866e-12 - 4.1329178e-13 1.3976338e-12 - 4.0635681e-13 1.3670249e-12 - 3.9971304e-13 1.3378482e-12 - 3.9334120e-13 1.3100024e-12 - 3.8722371e-13 1.2833961e-12 - 3.8134455e-13 1.2579457e-12 - 3.7568902e-13 1.2335754e-12 - 1.6418437e-12 8.2295651e-12 - 1.4315096e-12 6.9201949e-12 - 1.2783453e-12 5.9938162e-12 - 1.1609566e-12 5.3012808e-12 - 1.0676051e-12 4.7625206e-12 - 9.9126888e-13 4.3305473e-12 - 9.2746863e-13 3.9758979e-12 - 8.7320110e-13 3.6791260e-12 - 8.2637110e-13 3.4268555e-12 - 7.8546861e-13 3.2095758e-12 - 7.4937541e-13 3.0203281e-12 - 7.1724422e-13 2.8539034e-12 - 6.8842031e-13 2.7063183e-12 - 6.6238907e-13 2.5744764e-12 - 6.3873994e-13 2.4559291e-12 - 6.1714102e-13 2.3487162e-12 - 5.9732090e-13 2.2512492e-12 - 5.7905523e-13 2.1622263e-12 - 5.6215686e-13 2.0805683e-12 - 5.4646830e-13 2.0053762e-12 - 5.3185598e-13 1.9358927e-12 - 5.1820582e-13 1.8714754e-12 - 5.0541975e-13 1.8115754e-12 - 4.9341295e-13 1.7557221e-12 - 4.8211165e-13 1.7035076e-12 - 4.7145135e-13 1.6545793e-12 - 4.6137543e-13 1.6086276e-12 - 4.5183390e-13 1.5653819e-12 - 4.4278248e-13 1.5246036e-12 - 4.3418180e-13 1.4860819e-12 - 4.2599670e-13 1.4496292e-12 - 4.1819571e-13 1.4150788e-12 - 4.1075053e-13 1.3822815e-12 - 4.0363566e-13 1.3511032e-12 - 3.9682805e-13 1.3214237e-12 - 3.9030682e-13 1.2931345e-12 - 3.8405298e-13 1.2661371e-12 - 3.7804925e-13 1.2403426e-12 - 3.7227984e-13 1.2156702e-12 - 3.6673030e-13 1.1920461e-12 - 1.6142402e-12 7.9914774e-12 - 1.4066126e-12 6.7175718e-12 - 1.2554821e-12 5.8165062e-12 - 1.1396945e-12 5.1430428e-12 - 1.0476466e-12 4.6192225e-12 - 9.7239876e-13 4.1993017e-12 - 9.0952535e-13 3.8546053e-12 - 8.5605978e-13 3.5662045e-12 - 8.0993281e-13 3.3210852e-12 - 7.6965333e-13 3.1099923e-12 - 7.3411728e-13 2.9261577e-12 - 7.0248829e-13 2.7645123e-12 - 6.7412012e-13 2.6211823e-12 - 6.4850493e-13 2.4931538e-12 - 6.2523763e-13 2.3780478e-12 - 6.0399081e-13 2.2739579e-12 - 5.8449672e-13 2.1793385e-12 - 5.6653413e-13 2.0929233e-12 - 5.4991846e-13 2.0136655e-12 - 5.3449443e-13 1.9406893e-12 - 5.2013034e-13 1.8732589e-12 - 5.0671375e-13 1.8107497e-12 - 4.9414797e-13 1.7526287e-12 - 4.8234940e-13 1.6984378e-12 - 4.7124534e-13 1.6477815e-12 - 4.6077224e-13 1.6003163e-12 - 4.5087428e-13 1.5557419e-12 - 4.4150223e-13 1.5137952e-12 - 4.3261246e-13 1.4742442e-12 - 4.2416618e-13 1.4368841e-12 - 4.1612877e-13 1.4015330e-12 - 4.0846922e-13 1.3680287e-12 - 4.0115967e-13 1.3362260e-12 - 3.9417501e-13 1.3059950e-12 - 3.8749255e-13 1.2772189e-12 - 3.8109171e-13 1.2497922e-12 - 3.7495382e-13 1.2236194e-12 - 3.6906185e-13 1.1986143e-12 - 3.6340026e-13 1.1746977e-12 - 3.5795483e-13 1.1517986e-12 - 1.5871136e-12 7.7598233e-12 - 1.3821513e-12 6.5204768e-12 - 1.2330234e-12 5.6440793e-12 - 1.1188123e-12 4.9891954e-12 - 1.0280477e-12 4.4799266e-12 - 9.5387116e-13 4.0717462e-12 - 8.9191008e-13 3.7367409e-12 - 8.3923390e-13 3.4564925e-12 - 7.9379888e-13 3.2183370e-12 - 7.5413252e-13 3.0132682e-12 - 7.1914475e-13 2.8347024e-12 - 6.8800989e-13 2.6777089e-12 - 6.6009011e-13 2.5385191e-12 - 6.3488423e-13 2.4142029e-12 - 6.1199255e-13 2.3024458e-12 - 5.9109207e-13 2.2013938e-12 - 5.7191870e-13 2.1095451e-12 - 5.5425421e-13 2.0256684e-12 - 5.3791661e-13 1.9487448e-12 - 5.2275275e-13 1.8779240e-12 - 5.0863281e-13 1.8124906e-12 - 4.9544591e-13 1.7518375e-12 - 4.8309677e-13 1.6954466e-12 - 4.7150297e-13 1.6428729e-12 - 4.6059286e-13 1.5937317e-12 - 4.5030381e-13 1.5476894e-12 - 4.4058084e-13 1.5044541e-12 - 4.3137541e-13 1.4637702e-12 - 4.2264456e-13 1.4254127e-12 - 4.1435007e-13 1.3891821e-12 - 4.0645784e-13 1.3549017e-12 - 3.9893733e-13 1.3224141e-12 - 3.9176110e-13 1.2915784e-12 - 3.8490443e-13 1.2622683e-12 - 3.7834496e-13 1.2343702e-12 - 3.7206246e-13 1.2077818e-12 - 3.6603852e-13 1.1824104e-12 - 3.6025638e-13 1.1581723e-12 - 3.5470076e-13 1.1349904e-12 - 3.4935766e-13 1.1127957e-12 - 1.5604435e-12 7.5344306e-12 - 1.3581079e-12 6.3287673e-12 - 1.2109532e-12 5.4764032e-12 - 1.0982954e-12 4.8396201e-12 - 1.0087948e-12 4.3445267e-12 - 9.3567361e-13 3.9477799e-12 - 8.7461114e-13 3.6222141e-12 - 8.2271243e-13 3.3499040e-12 - 7.7795883e-13 3.1185277e-12 - 7.3889622e-13 2.9193242e-12 - 7.0444827e-13 2.7458872e-12 - 6.7379986e-13 2.5934215e-12 - 6.4632146e-13 2.4582613e-12 - 6.2151846e-13 2.3375579e-12 - 5.9899649e-13 2.2290594e-12 - 5.7843689e-13 2.1309638e-12 - 5.5957914e-13 2.0418107e-12 - 5.4220803e-13 1.9604029e-12 - 5.2614404e-13 1.8857502e-12 - 5.1123620e-13 1.8170265e-12 - 4.9735649e-13 1.7535355e-12 - 4.8439560e-13 1.6946876e-12 - 4.7225959e-13 1.6399794e-12 - 4.6086724e-13 1.5889781e-12 - 4.5014792e-13 1.5413105e-12 - 4.4003993e-13 1.4966516e-12 - 4.3048906e-13 1.4547185e-12 - 4.2144752e-13 1.4152627e-12 - 4.1287297e-13 1.3780651e-12 - 4.0472776e-13 1.3429325e-12 - 3.9697831e-13 1.3096931e-12 - 3.8959453e-13 1.2781939e-12 - 3.8254940e-13 1.2482981e-12 - 3.7581858e-13 1.2198830e-12 - 3.6938006e-13 1.1928386e-12 - 3.6321390e-13 1.1670649e-12 - 3.5730201e-13 1.1424723e-12 - 3.5162787e-13 1.1189792e-12 - 3.4617644e-13 1.0965114e-12 - 3.4093395e-13 1.0750015e-12 - 1.5342098e-12 7.3151368e-12 - 1.3344647e-12 6.1422971e-12 - 1.1892559e-12 5.3133508e-12 - 1.0781292e-12 4.6942046e-12 - 9.8987481e-13 4.2129193e-12 - 9.1779378e-13 3.8273070e-12 - 8.5761700e-13 3.5109326e-12 - 8.0648448e-13 3.2463525e-12 - 7.6240235e-13 3.0215768e-12 - 7.2393458e-13 2.8280828e-12 - 6.9001841e-13 2.6596387e-12 - 6.5984918e-13 2.5115801e-12 - 6.3280549e-13 2.3803426e-12 - 6.0839928e-13 2.2631537e-12 - 5.8624139e-13 2.1578263e-12 - 5.6601745e-13 2.0626075e-12 - 5.4747049e-13 1.9760766e-12 - 5.3038823e-13 1.8970711e-12 - 5.1459366e-13 1.8246281e-12 - 4.9993786e-13 1.7579437e-12 - 4.8629463e-13 1.6963421e-12 - 4.7355621e-13 1.6392500e-12 - 4.6162999e-13 1.5861783e-12 - 4.5043592e-13 1.5367064e-12 - 4.3990438e-13 1.4904715e-12 - 4.2997456e-13 1.4471579e-12 - 4.2059306e-13 1.4064909e-12 - 4.1171278e-13 1.3682288e-12 - 4.0329201e-13 1.3321592e-12 - 3.9529368e-13 1.2980939e-12 - 3.8768469e-13 1.2658663e-12 - 3.8043542e-13 1.2353279e-12 - 3.7351927e-13 1.2063456e-12 - 3.6691225e-13 1.1788006e-12 - 3.6059271e-13 1.1525855e-12 - 3.5454101e-13 1.1276039e-12 - 3.4873933e-13 1.1037682e-12 - 3.4317142e-13 1.0809992e-12 - 3.3782248e-13 1.0592254e-12 - 3.3267894e-13 1.0383806e-12 - 1.5083924e-12 7.1017791e-12 - 1.3112042e-12 5.9609289e-12 - 1.1679155e-12 5.1548007e-12 - 1.0582996e-12 4.5528329e-12 - 9.7127448e-13 4.0849980e-12 - 9.0021948e-13 3.7102324e-12 - 8.4091622e-13 3.4028087e-12 - 7.9053928e-13 3.1457550e-12 - 7.4711922e-13 2.9274064e-12 - 7.0923786e-13 2.7394706e-12 - 6.7584588e-13 2.5758868e-12 - 6.4614891e-13 2.4321174e-12 - 6.1953365e-13 2.3046968e-12 - 5.9551843e-13 2.1909294e-12 - 5.7371929e-13 2.0886871e-12 - 5.5382608e-13 1.9962668e-12 - 5.3558532e-13 1.9122876e-12 - 5.1878762e-13 1.8356192e-12 - 5.0325843e-13 1.7653251e-12 - 4.8885090e-13 1.7006245e-12 - 4.7544060e-13 1.6408607e-12 - 4.6292128e-13 1.5854762e-12 - 4.5120165e-13 1.5339959e-12 - 4.4020281e-13 1.4860111e-12 - 4.2985616e-13 1.4411694e-12 - 4.2010176e-13 1.3991640e-12 - 4.1088699e-13 1.3597278e-12 - 4.0216547e-13 1.3226263e-12 - 3.9389608e-13 1.2876531e-12 - 3.8604232e-13 1.2546255e-12 - 3.7857160e-13 1.2233816e-12 - 3.7145473e-13 1.1937769e-12 - 3.6466551e-13 1.1656827e-12 - 3.5818034e-13 1.1389830e-12 - 3.5197789e-13 1.1135741e-12 - 3.4603882e-13 1.0893619e-12 - 3.4034560e-13 1.0662620e-12 - 3.3488224e-13 1.0441968e-12 - 3.2963415e-13 1.0230971e-12 - 3.2458799e-13 1.0028987e-12 - 1.4829713e-12 6.8942003e-12 - 1.2883090e-12 5.7845262e-12 - 1.1469166e-12 5.0006303e-12 - 1.0387924e-12 4.4153991e-12 - 9.5298079e-13 3.9606651e-12 - 8.8293858e-13 3.5964629e-12 - 8.2449748e-13 3.2977562e-12 - 7.7486615e-13 3.0480316e-12 - 7.3209931e-13 2.8359396e-12 - 6.9479643e-13 2.6534151e-12 - 6.6192147e-13 2.4945610e-12 - 6.3269026e-13 2.3549671e-12 - 6.0649746e-13 2.2312608e-12 - 5.8286777e-13 2.1208222e-12 - 5.6142234e-13 2.0215827e-12 - 5.4185519e-13 1.9318853e-12 - 5.2391627e-13 1.8503889e-12 - 5.0739908e-13 1.7759932e-12 - 4.9213144e-13 1.7077898e-12 - 4.7796859e-13 1.6450189e-12 - 4.6478782e-13 1.5870424e-12 - 4.5248438e-13 1.5333187e-12 - 4.4096831e-13 1.4833859e-12 - 4.3016181e-13 1.4368474e-12 - 4.1999729e-13 1.3933599e-12 - 4.1041568e-13 1.3526265e-12 - 4.0136515e-13 1.3143870e-12 - 3.9279998e-13 1.2784140e-12 - 3.8467969e-13 1.2445065e-12 - 3.7696831e-13 1.2124874e-12 - 3.6963373e-13 1.1821997e-12 - 3.6264724e-13 1.1535029e-12 - 3.5598301e-13 1.1262716e-12 - 3.4961782e-13 1.1003937e-12 - 3.4353066e-13 1.0757683e-12 - 3.3770250e-13 1.0523041e-12 - 3.3211606e-13 1.0299186e-12 - 3.2675562e-13 1.0085375e-12 - 3.2160682e-13 9.8809293e-13 - 3.1665652e-13 9.6852273e-13 - 1.4579265e-12 6.6922496e-12 - 1.2657615e-12 5.6129555e-12 - 1.1262434e-12 4.8507225e-12 - 1.0195932e-12 4.2817961e-12 - 9.3498074e-13 3.8398230e-12 - 8.6593906e-13 3.4859089e-12 - 8.0834950e-13 3.1956913e-12 - 7.5945447e-13 2.9531024e-12 - 7.1733256e-13 2.7471020e-12 - 6.8060072e-13 2.5698442e-12 - 6.4823605e-13 2.4155960e-12 - 6.1946447e-13 2.2800643e-12 - 5.9368856e-13 2.1599732e-12 - 5.7043926e-13 2.0527743e-12 - 5.4934278e-13 1.9564555e-12 - 5.3009728e-13 1.8694082e-12 - 5.1245609e-13 1.7903263e-12 - 4.9621554e-13 1.7181421e-12 - 4.8120586e-13 1.6519721e-12 - 4.6728427e-13 1.5910781e-12 - 4.5432980e-13 1.5348398e-12 - 4.4223921e-13 1.4827312e-12 - 4.3092379e-13 1.4343035e-12 - 4.2030688e-13 1.3891709e-12 - 4.1032187e-13 1.3470006e-12 - 4.0091056e-13 1.3075036e-12 - 3.9202188e-13 1.2704277e-12 - 3.8361078e-13 1.2355514e-12 - 3.7563740e-13 1.2026802e-12 - 3.6806630e-13 1.1716416e-12 - 3.6086587e-13 1.1422832e-12 - 3.5400783e-13 1.1144686e-12 - 3.4746675e-13 1.0880760e-12 - 3.4121975e-13 1.0629968e-12 - 3.3524616e-13 1.0391327e-12 - 3.2952724e-13 1.0163951e-12 - 3.2404600e-13 9.9470432e-13 - 3.1878693e-13 9.7398773e-13 - 3.1373592e-13 9.5417966e-13 - 3.0888004e-13 9.3521994e-13 - 1.4332379e-12 6.4957782e-12 - 1.2435443e-12 5.4460903e-12 - 1.1058804e-12 4.7049641e-12 - 1.0006881e-12 4.1519212e-12 - 9.1726135e-13 3.7223772e-12 - 8.4920887e-13 3.3784838e-12 - 7.9246105e-13 3.0965318e-12 - 7.4429364e-13 2.8608909e-12 - 7.0280894e-13 2.6608215e-12 - 6.6664119e-13 2.4886910e-12 - 6.3478053e-13 2.3389239e-12 - 6.0646287e-13 2.2073471e-12 - 5.8109860e-13 2.0907736e-12 - 5.5822487e-13 1.9867272e-12 - 5.3747290e-13 1.8932510e-12 - 5.1854489e-13 1.8087805e-12 - 5.0119756e-13 1.7320483e-12 - 4.8523003e-13 1.6620155e-12 - 4.7047488e-13 1.5978232e-12 - 4.5679133e-13 1.5387547e-12 - 4.4406012e-13 1.4842071e-12 - 4.3217948e-13 1.4336690e-12 - 4.2106196e-13 1.3867046e-12 - 4.1063204e-13 1.3429393e-12 - 4.0082406e-13 1.3020495e-12 - 3.9158068e-13 1.2637549e-12 - 3.8285157e-13 1.2278099e-12 - 3.7459239e-13 1.1939999e-12 - 3.6676385e-13 1.1621359e-12 - 3.5933105e-13 1.1320503e-12 - 3.5226286e-13 1.1035952e-12 - 3.4553143e-13 1.0766378e-12 - 3.3911173e-13 1.0510608e-12 - 3.3298123e-13 1.0267575e-12 - 3.2711958e-13 1.0036333e-12 - 3.2150834e-13 9.8160184e-13 - 3.1613075e-13 9.6058597e-13 - 3.1097160e-13 9.4051527e-13 - 3.0601695e-13 9.2132563e-13 - 3.0125411e-13 9.0295875e-13 - 1.4088851e-12 6.3046403e-12 - 1.2216396e-12 5.2838027e-12 - 1.0858118e-12 4.5632422e-12 - 9.8206283e-13 4.0256727e-12 - 8.9980962e-13 3.6082371e-12 - 8.3273599e-13 3.2741009e-12 - 7.7682084e-13 3.0001986e-12 - 7.2937307e-13 2.7713228e-12 - 6.8851841e-13 2.5770260e-12 - 6.5290833e-13 2.4098872e-12 - 6.2154585e-13 2.2644823e-12 - 5.9367680e-13 2.1367539e-12 - 5.6871929e-13 2.0236043e-12 - 5.4621665e-13 1.9226245e-12 - 5.2580500e-13 1.8319140e-12 - 5.0719060e-13 1.7499515e-12 - 4.9013349e-13 1.6755046e-12 - 4.7443557e-13 1.6075641e-12 - 4.5993173e-13 1.5452958e-12 - 4.4648319e-13 1.4880025e-12 - 4.3397237e-13 1.4350990e-12 - 4.2229894e-13 1.3860882e-12 - 4.1137675e-13 1.3405469e-12 - 4.0113135e-13 1.2981109e-12 - 3.9149804e-13 1.2584662e-12 - 3.8242035e-13 1.2213401e-12 - 3.7384869e-13 1.1864947e-12 - 3.6573937e-13 1.1537213e-12 - 3.5805370e-13 1.1228361e-12 - 3.5075733e-13 1.0936770e-12 - 3.4381958e-13 1.0660995e-12 - 3.3721303e-13 1.0399758e-12 - 3.3091304e-13 1.0151908e-12 - 3.2489744e-13 9.9164183e-13 - 3.1914617e-13 9.6923655e-13 - 3.1364110e-13 9.4789160e-13 - 3.0836573e-13 9.2753152e-13 - 3.0330508e-13 9.0808802e-13 - 2.9844545e-13 8.8949914e-13 - 2.9377432e-13 8.7170845e-13 - 1.3848475e-12 6.1186933e-12 - 1.2000295e-12 5.1259728e-12 - 1.0660218e-12 4.4254489e-12 - 9.6370302e-13 3.9029538e-12 - 8.8261246e-13 3.4973105e-12 - 8.1650826e-13 3.1726777e-12 - 7.6141755e-13 2.9066138e-12 - 7.1468208e-13 2.6843243e-12 - 6.7445092e-13 2.4956488e-12 - 6.3939259e-13 2.3333682e-12 - 6.0852292e-13 2.1922085e-12 - 5.8109757e-13 2.0682260e-12 - 5.5654233e-13 1.9584074e-12 - 5.3440659e-13 1.8604119e-12 - 5.1433139e-13 1.7723923e-12 - 4.9602699e-13 1.6928694e-12 - 4.7925671e-13 1.6206458e-12 - 4.6382519e-13 1.5547408e-12 - 4.4956965e-13 1.4943434e-12 - 4.3635327e-13 1.4387769e-12 - 4.2406013e-13 1.3874720e-12 - 4.1259137e-13 1.3399464e-12 - 4.0186207e-13 1.2957883e-12 - 3.9179887e-13 1.2546449e-12 - 3.8233803e-13 1.2162107e-12 - 3.7342392e-13 1.1802209e-12 - 3.6500769e-13 1.1464443e-12 - 3.5704631e-13 1.1146785e-12 - 3.4950167e-13 1.0847450e-12 - 3.4233994e-13 1.0564862e-12 - 3.3553093e-13 1.0297619e-12 - 3.2904763e-13 1.0044479e-12 - 3.2286577e-13 9.8043301e-13 - 3.1696354e-13 9.5761702e-13 - 3.1132119e-13 9.3591025e-13 - 3.0592086e-13 9.1523192e-13 - 3.0074634e-13 8.9550919e-13 - 2.9578287e-13 8.7667537e-13 - 2.9101696e-13 8.5867023e-13 - 2.8643630e-13 8.4143920e-13 - 1.3611043e-12 5.9378027e-12 - 1.1786961e-12 4.9724812e-12 - 1.0464943e-12 4.2914783e-12 - 9.4559425e-13 3.7836679e-12 - 8.6565663e-13 3.3895115e-12 - 8.0051344e-13 3.0741341e-12 - 7.4623973e-13 2.8157026e-12 - 7.0020995e-13 2.5998259e-12 - 6.6059633e-13 2.4166213e-12 - 6.2608435e-13 2.2590693e-12 - 5.9570260e-13 2.1220427e-12 - 5.6871646e-13 2.0017048e-12 - 5.4455934e-13 1.8951281e-12 - 5.2278667e-13 1.8000366e-12 - 5.0304434e-13 1.7146343e-12 - 4.8504658e-13 1.6374849e-12 - 4.6855997e-13 1.5674238e-12 - 4.5339190e-13 1.5034986e-12 - 4.3938185e-13 1.4449210e-12 - 4.2639497e-13 1.3910334e-12 - 4.1431700e-13 1.3412833e-12 - 4.0305051e-13 1.2952016e-12 - 3.9251182e-13 1.2523891e-12 - 3.8262866e-13 1.2125023e-12 - 3.7333823e-13 1.1752448e-12 - 3.6458573e-13 1.1403595e-12 - 3.5632304e-13 1.1076222e-12 - 3.4850778e-13 1.0768356e-12 - 3.4110245e-13 1.0478269e-12 - 3.3407370e-13 1.0204430e-12 - 3.2739182e-13 9.9454829e-13 - 3.2103022e-13 9.7002139e-13 - 3.1496501e-13 9.4675448e-13 - 3.0917471e-13 9.2465064e-13 - 3.0363989e-13 9.0362280e-13 - 2.9834298e-13 8.8359255e-13 - 2.9326800e-13 8.6448869e-13 - 2.8840044e-13 8.4624717e-13 - 2.8372703e-13 8.2880929e-13 - 2.7923566e-13 8.1212199e-13 - 1.3376340e-12 5.7618329e-12 - 1.1576208e-12 4.8232101e-12 - 1.0272129e-12 4.1612289e-12 - 9.2772180e-13 3.6677230e-12 - 8.4892868e-13 3.2847547e-12 - 7.8473908e-13 2.9783905e-12 - 7.3127579e-13 2.7273902e-12 - 6.8594578e-13 2.5177569e-12 - 6.4694437e-13 2.3398790e-12 - 6.1297392e-13 2.1869300e-12 - 5.8307566e-13 2.0539250e-12 - 5.5652467e-13 1.9371343e-12 - 5.3276190e-13 1.8337120e-12 - 5.1134878e-13 1.7414458e-12 - 4.9193605e-13 1.6585905e-12 - 4.7424184e-13 1.5837498e-12 - 4.5803600e-13 1.5157923e-12 - 4.4312863e-13 1.4537924e-12 - 4.2936149e-13 1.3969846e-12 - 4.1660165e-13 1.3447301e-12 - 4.0473652e-13 1.2964918e-12 - 3.9367008e-13 1.2518145e-12 - 3.8331990e-13 1.2103097e-12 - 3.7361476e-13 1.1716445e-12 - 3.6449282e-13 1.1355310e-12 - 3.5590008e-13 1.1017195e-12 - 3.4778918e-13 1.0699920e-12 - 3.4011836e-13 1.0401574e-12 - 3.3285070e-13 1.0120477e-12 - 3.2595338e-13 9.8551442e-13 - 3.1939714e-13 9.6042532e-13 - 3.1315579e-13 9.3666341e-13 - 3.0720583e-13 9.1412366e-13 - 3.0152612e-13 8.9271183e-13 - 2.9609752e-13 8.7234362e-13 - 2.9090275e-13 8.5294282e-13 - 2.8592610e-13 8.3444057e-13 - 2.8115327e-13 8.1677431e-13 - 2.7657121e-13 7.9988745e-13 - 2.7216801e-13 7.8372818e-13 - 1.3144148e-12 5.5906525e-12 - 1.1367847e-12 4.6780486e-12 - 1.0081612e-12 4.0345992e-12 - 9.1007070e-13 3.5550281e-12 - 8.3241489e-13 3.1829571e-12 - 7.6917252e-13 2.8853705e-12 - 7.1651392e-13 2.6416066e-12 - 6.7187851e-13 2.4380515e-12 - 6.3348463e-13 2.2653582e-12 - 6.0005144e-13 2.1168895e-12 - 5.7063274e-13 1.9877983e-12 - 5.4451325e-13 1.8744594e-12 - 5.2114145e-13 1.7741066e-12 - 5.0008472e-13 1.6845893e-12 - 4.8099859e-13 1.6042118e-12 - 4.6360513e-13 1.5316168e-12 - 4.4767742e-13 1.4657055e-12 - 4.3302824e-13 1.4055786e-12 - 4.1950163e-13 1.3504921e-12 - 4.0696658e-13 1.2998251e-12 - 3.9531214e-13 1.2530570e-12 - 3.8444372e-13 1.2097448e-12 - 3.7428010e-13 1.1695118e-12 - 3.6475113e-13 1.1320344e-12 - 3.5579590e-13 1.0970330e-12 - 3.4736124e-13 1.0642651e-12 - 3.3940049e-13 1.0335195e-12 - 3.3187256e-13 1.0046102e-12 - 3.2474107e-13 9.7737408e-13 - 3.1797372e-13 9.5166746e-13 - 3.1154172e-13 9.2736143e-13 - 3.0541927e-13 9.0434276e-13 - 2.9958327e-13 8.8250935e-13 - 2.9401287e-13 8.6177011e-13 - 2.8868929e-13 8.4204279e-13 - 2.8359548e-13 8.2325355e-13 - 2.7871600e-13 8.0533566e-13 - 2.7403678e-13 7.8822834e-13 - 2.6954499e-13 7.7187671e-13 - 2.6522891e-13 7.5623051e-13 - 1.2914242e-12 5.4241362e-12 - 1.1161685e-12 4.5368863e-12 - 9.8932188e-13 3.9114923e-12 - 8.9262557e-13 3.4454959e-12 - 8.1610125e-13 3.0840376e-12 - 7.5380080e-13 2.7949990e-12 - 7.0194206e-13 2.5582811e-12 - 6.5799687e-13 2.3606435e-12 - 6.2020650e-13 2.1929969e-12 - 5.8730686e-13 2.0488893e-12 - 5.5836429e-13 1.9236071e-12 - 5.3267310e-13 1.8136276e-12 - 5.0968927e-13 1.7162609e-12 - 4.8898610e-13 1.6294182e-12 - 4.7022392e-13 1.5514511e-12 - 4.5312870e-13 1.4810407e-12 - 4.3747673e-13 1.4171195e-12 - 4.2308347e-13 1.3588138e-12 - 4.0979524e-13 1.3054009e-12 - 3.9748294e-13 1.2562785e-12 - 3.8603726e-13 1.2109396e-12 - 3.7536500e-13 1.1689548e-12 - 3.6538616e-13 1.1299583e-12 - 3.5603167e-13 1.0936355e-12 - 3.4724153e-13 1.0597152e-12 - 3.3896338e-13 1.0279619e-12 - 3.3115129e-13 9.9817038e-13 - 3.2376480e-13 9.7016046e-13 - 3.1676810e-13 9.4377355e-13 - 3.1012940e-13 9.1887001e-13 - 3.0382033e-13 8.9532526e-13 - 2.9781555e-13 8.7302882e-13 - 2.9209228e-13 8.5188181e-13 - 2.8663004e-13 8.3179588e-13 - 2.8141032e-13 8.1269128e-13 - 2.7641638e-13 7.9449627e-13 - 2.7163300e-13 7.7714602e-13 - 2.6704635e-13 7.6058165e-13 - 2.6264382e-13 7.4474993e-13 - 2.5841387e-13 7.2960214e-13 - 1.2686389e-12 5.2621593e-12 - 1.0957523e-12 4.3996155e-12 - 9.7067753e-13 3.7918122e-12 - 8.7537065e-13 3.3390397e-12 - 7.9997335e-13 2.9879184e-12 - 7.3861065e-13 2.7072037e-12 - 6.8754790e-13 2.4773454e-12 - 6.4428933e-13 2.2854687e-12 - 6.0709913e-13 2.1227355e-12 - 5.7472992e-13 1.9828717e-12 - 5.4626057e-13 1.8612969e-12 - 5.2099494e-13 1.7545860e-12 - 4.9839646e-13 1.6601255e-12 - 4.7804440e-13 1.5758846e-12 - 4.5960384e-13 1.5002618e-12 - 4.4280462e-13 1.4319766e-12 - 4.2742628e-13 1.3699913e-12 - 4.1328694e-13 1.3134567e-12 - 4.0023518e-13 1.2616717e-12 - 3.8814380e-13 1.2140506e-12 - 3.7690512e-13 1.1701015e-12 - 3.6642736e-13 1.1294075e-12 - 3.5663172e-13 1.0916128e-12 - 3.4745017e-13 1.0564124e-12 - 3.3882365e-13 1.0235432e-12 - 3.3070060e-13 9.9277607e-13 - 3.2303582e-13 9.6391195e-13 - 3.1578945e-13 9.3677609e-13 - 3.0892627e-13 9.1121454e-13 - 3.0241498e-13 8.8709146e-13 - 2.9622768e-13 8.6428625e-13 - 2.9033940e-13 8.4269174e-13 - 2.8472776e-13 8.2221178e-13 - 2.7937259e-13 8.0276054e-13 - 2.7425569e-13 7.8426097e-13 - 2.6936058e-13 7.6664310e-13 - 2.6467232e-13 7.4984437e-13 - 2.6017728e-13 7.3380751e-13 - 2.5586307e-13 7.1848072e-13 - 2.5171834e-13 7.0381697e-13 - 1.2460349e-12 5.1046008e-12 - 1.0755155e-12 4.2661323e-12 - 9.5221007e-13 3.6754683e-12 - 8.5828972e-13 3.2355760e-12 - 7.8401641e-13 2.8945226e-12 - 7.2358845e-13 2.6219129e-12 - 6.7331878e-13 2.3987339e-12 - 6.3074406e-13 2.2124657e-12 - 5.9415141e-13 2.0545143e-12 - 5.6231013e-13 1.9187817e-12 - 5.3431160e-13 1.8008147e-12 - 5.0946924e-13 1.6972843e-12 - 4.8725395e-13 1.6056509e-12 - 4.6725089e-13 1.5239413e-12 - 4.4912994e-13 1.4505996e-12 - 4.3262482e-13 1.3843813e-12 - 4.1751828e-13 1.3242785e-12 - 4.0363111e-13 1.2694666e-12 - 3.9081414e-13 1.2192647e-12 - 3.7894208e-13 1.1731035e-12 - 3.6790887e-13 1.1305057e-12 - 3.5762413e-13 1.0910665e-12 - 3.4801027e-13 1.0544402e-12 - 3.3900031e-13 1.0203311e-12 - 3.3053610e-13 9.8848337e-13 - 3.2256689e-13 9.5867486e-13 - 3.1504818e-13 9.3071227e-13 - 3.0794076e-13 9.0442584e-13 - 3.0120995e-13 8.7966622e-13 - 2.9482496e-13 8.5630170e-13 - 2.8875834e-13 8.3421519e-13 - 2.8298553e-13 8.1330246e-13 - 2.7748450e-13 7.9347059e-13 - 2.7223541e-13 7.7463621e-13 - 2.6722037e-13 7.5672431e-13 - 2.6242317e-13 7.3966722e-13 - 2.5782911e-13 7.2340408e-13 - 2.5342480e-13 7.0787959e-13 - 2.4919805e-13 6.9304331e-13 - 2.4513769e-13 6.7884968e-13 - 1.2235877e-12 4.9513431e-12 - 1.0554371e-12 4.1363347e-12 - 9.3390092e-13 3.5623685e-12 - 8.4136609e-13 3.1350238e-12 - 7.6821523e-13 2.8037754e-12 - 7.0872021e-13 2.5390581e-12 - 6.5924174e-13 2.3223826e-12 - 6.1734897e-13 2.1415737e-12 - 5.8135195e-13 1.9882775e-12 - 5.5003674e-13 1.8565654e-12 - 5.2250717e-13 1.7421086e-12 - 4.9808628e-13 1.6416734e-12 - 4.7625241e-13 1.5527908e-12 - 4.5659666e-13 1.4735436e-12 - 4.3879366e-13 1.4024209e-12 - 4.2258105e-13 1.3382127e-12 - 4.0774476e-13 1.2799407e-12 - 3.9410829e-13 1.2268044e-12 - 3.8152468e-13 1.1781414e-12 - 3.6987057e-13 1.1333999e-12 - 3.5904152e-13 1.0921160e-12 - 3.4894852e-13 1.0538965e-12 - 3.3951521e-13 1.0184064e-12 - 3.3067564e-13 9.8535811e-13 - 3.2237259e-13 9.5450333e-13 - 3.1455610e-13 9.2562662e-13 - 3.0718238e-13 8.9853997e-13 - 3.0021286e-13 8.7307899e-13 - 2.9361341e-13 8.4909886e-13 - 2.8735373e-13 8.2647142e-13 - 2.8140682e-13 8.0508319e-13 - 2.7574853e-13 7.8483311e-13 - 2.7035719e-13 7.6563084e-13 - 2.6521330e-13 7.4739551e-13 - 2.6029925e-13 7.3005457e-13 - 2.5559911e-13 7.1354226e-13 - 2.5109843e-13 6.9779943e-13 - 2.4678404e-13 6.8277249e-13 - 2.4264396e-13 6.6841269e-13 - 2.3866723e-13 6.5467559e-13 - 1.2012716e-12 4.8022711e-12 - 1.0354953e-12 4.0101252e-12 - 9.1573096e-13 3.4524259e-12 - 8.2458260e-13 3.0373034e-12 - 7.5255421e-13 2.7156036e-12 - 6.9399161e-13 2.4585719e-12 - 6.4530351e-13 2.2482281e-12 - 6.0409165e-13 2.0727336e-12 - 5.6868912e-13 1.9239685e-12 - 5.3789872e-13 1.7961688e-12 - 5.1083685e-13 1.6851290e-12 - 4.8683611e-13 1.5877048e-12 - 4.6538233e-13 1.5014983e-12 - 4.4607258e-13 1.4246470e-12 - 4.2858624e-13 1.3556823e-12 - 4.1266487e-13 1.2934296e-12 - 3.9809761e-13 1.2369383e-12 - 3.8471063e-13 1.1854312e-12 - 3.7235923e-13 1.1382648e-12 - 3.6092193e-13 1.0949039e-12 - 3.5029593e-13 1.0548973e-12 - 3.4039361e-13 1.0178638e-12 - 3.3113980e-13 9.8347805e-13 - 3.2246962e-13 9.5146060e-13 - 3.1432673e-13 9.2157105e-13 - 3.0666200e-13 8.9359977e-13 - 2.9943234e-13 8.6736483e-13 - 2.9259979e-13 8.4270618e-13 - 2.8613080e-13 8.1948327e-13 - 2.7999556e-13 7.9757209e-13 - 2.7416751e-13 7.7686234e-13 - 2.6862292e-13 7.5725599e-13 - 2.6334046e-13 7.3866543e-13 - 2.5830097e-13 7.2101217e-13 - 2.5348714e-13 7.0422575e-13 - 2.4888331e-13 6.8824261e-13 - 2.4447526e-13 6.7300527e-13 - 2.4025008e-13 6.5846159e-13 - 2.3619597e-13 6.4456460e-13 - 2.3230216e-13 6.3127092e-13 - 1.1790606e-12 4.6572748e-12 - 1.0156678e-12 3.8874041e-12 - 8.9768059e-13 3.3455543e-12 - 8.0792171e-13 2.9423365e-12 - 7.3701740e-13 2.6299367e-12 - 6.7938801e-13 2.3803888e-12 - 6.3149051e-13 2.1762089e-12 - 5.9095945e-13 2.0058884e-12 - 5.5615102e-13 1.8615333e-12 - 5.2588487e-13 1.7375418e-12 - 4.9928997e-13 1.6298264e-12 - 4.7570858e-13 1.5353324e-12 - 4.5463405e-13 1.4517296e-12 - 4.3566938e-13 1.3772084e-12 - 4.1849880e-13 1.3103429e-12 - 4.0286774e-13 1.2499920e-12 - 3.8856858e-13 1.1952325e-12 - 3.7543018e-13 1.1453095e-12 - 3.6331007e-13 1.0995987e-12 - 3.5208870e-13 1.0575798e-12 - 3.4166487e-13 1.0188151e-12 - 3.3195236e-13 9.8293455e-13 - 3.2287721e-13 9.4962239e-13 - 3.1437557e-13 9.1860733e-13 - 3.0639203e-13 8.8965577e-13 - 2.9887825e-13 8.6256469e-13 - 2.9179185e-13 8.3715718e-13 - 2.8509550e-13 8.1327813e-13 - 2.7875620e-13 7.9079131e-13 - 2.7274465e-13 7.6957603e-13 - 2.6703474e-13 7.4952546e-13 - 2.6160311e-13 7.3054457e-13 - 2.5642883e-13 7.1254826e-13 - 2.5149305e-13 6.9546043e-13 - 2.4677876e-13 6.7921279e-13 - 2.4227057e-13 6.6374356e-13 - 2.3795452e-13 6.4899702e-13 - 2.3381790e-13 6.3492295e-13 - 2.2984914e-13 6.2147523e-13 - 2.2603765e-13 6.0861214e-13 - 1.1569279e-12 4.5162422e-12 - 9.9593174e-13 3.7680787e-12 - 8.7972982e-13 3.2416703e-12 - 7.9136552e-13 2.8500483e-12 - 7.2158857e-13 2.5467053e-12 - 6.6489453e-13 2.3044441e-12 - 6.1778900e-13 2.1062656e-12 - 5.7793954e-13 1.9409816e-12 - 5.4372561e-13 1.8009189e-12 - 5.1398380e-13 1.6806332e-12 - 4.8785576e-13 1.5761530e-12 - 4.6469344e-13 1.4845097e-12 - 4.4399775e-13 1.4034399e-12 - 4.2537770e-13 1.3311859e-12 - 4.0852232e-13 1.2663623e-12 - 3.9318100e-13 1.2078609e-12 - 3.7914935e-13 1.1547856e-12 - 3.6625889e-13 1.1064031e-12 - 3.5436945e-13 1.0621076e-12 - 3.4336335e-13 1.0213936e-12 - 3.3314104e-13 9.8383647e-13 - 3.2361769e-13 9.4907674e-13 - 3.1472054e-13 9.1680814e-13 - 3.0638679e-13 8.8676728e-13 - 2.9856194e-13 8.5872752e-13 - 2.9119847e-13 8.3249179e-13 - 2.8425468e-13 8.0788845e-13 - 2.7769389e-13 7.8476701e-13 - 2.7148366e-13 7.6299523e-13 - 2.6559517e-13 7.4245619e-13 - 2.6000277e-13 7.2304613e-13 - 2.5468351e-13 7.0467271e-13 - 2.4961681e-13 6.8725378e-13 - 2.4478415e-13 6.7071518e-13 - 2.4016883e-13 6.5499086e-13 - 2.3575571e-13 6.4002088e-13 - 2.3153110e-13 6.2575116e-13 - 2.2748250e-13 6.1213286e-13 - 2.2359855e-13 5.9912153e-13 - 2.1986885e-13 5.8667669e-13 - 1.1348463e-12 4.3790675e-12 - 9.7626417e-13 3.6520565e-12 - 8.6185846e-13 3.1406908e-12 - 7.7489598e-13 2.7603641e-12 - 7.0625139e-13 2.4658411e-12 - 6.5049619e-13 2.2306753e-12 - 6.0418511e-13 2.0383399e-12 - 5.6501899e-13 1.8779586e-12 - 5.3140075e-13 1.7420738e-12 - 5.0218407e-13 1.6253949e-12 - 4.7652337e-13 1.5240623e-12 - 4.5378037e-13 1.4351930e-12 - 4.3346360e-13 1.3565871e-12 - 4.1518812e-13 1.2865384e-12 - 3.9864781e-13 1.2237008e-12 - 3.8359600e-13 1.1669984e-12 - 3.6983157e-13 1.1155610e-12 - 3.5718873e-13 1.0686766e-12 - 3.4552958e-13 1.0257572e-12 - 3.3473835e-13 9.8631166e-13 - 3.2471714e-13 9.4992865e-13 - 3.1538250e-13 9.1625860e-13 - 3.0666288e-13 8.8500415e-13 - 2.9849655e-13 8.5591041e-13 - 2.9082991e-13 8.2875676e-13 - 2.8361625e-13 8.0335233e-13 - 2.7681458e-13 7.7953043e-13 - 2.7038886e-13 7.5714521e-13 - 2.6430719e-13 7.3606831e-13 - 2.5854127e-13 7.1618618e-13 - 2.5306589e-13 6.9739836e-13 - 2.4785851e-13 6.7961533e-13 - 2.4289890e-13 6.6275713e-13 - 2.3816888e-13 6.4675211e-13 - 2.3365204e-13 6.3153612e-13 - 2.2933354e-13 6.1705087e-13 - 2.2519989e-13 6.0324433e-13 - 2.2123885e-13 5.9006878e-13 - 2.1743925e-13 5.7748127e-13 - 2.1379089e-13 5.6544250e-13 - 1.1127887e-12 4.2456455e-12 - 9.5664198e-13 3.5392468e-12 - 8.4404632e-13 3.0425370e-12 - 7.5849509e-13 2.6732116e-12 - 6.9098955e-13 2.3872785e-12 - 6.3617808e-13 2.1590217e-12 - 5.9066505e-13 1.9723744e-12 - 5.5218495e-13 1.8167659e-12 - 5.1916440e-13 1.6849471e-12 - 4.9047432e-13 1.5717781e-12 - 4.6528204e-13 1.4735088e-12 - 4.4295915e-13 1.3873379e-12 - 4.2302186e-13 1.3111294e-12 - 4.0509133e-13 1.2432258e-12 - 3.8886632e-13 1.1823200e-12 - 3.7410416e-13 1.1273671e-12 - 3.6060698e-13 1.0775227e-12 - 3.4821173e-13 1.0320951e-12 - 3.3678276e-13 9.9051360e-13 - 3.2620626e-13 9.5230179e-13 - 3.1638594e-13 9.1705972e-13 - 3.0723977e-13 8.8444906e-13 - 2.9869743e-13 8.5418087e-13 - 2.9069821e-13 8.2600734e-13 - 2.8318947e-13 7.9971499e-13 - 2.7612529e-13 7.7511846e-13 - 2.6946540e-13 7.5205597e-13 - 2.6317438e-13 7.3038614e-13 - 2.5722092e-13 7.0998435e-13 - 2.5157720e-13 6.9074045e-13 - 2.4621846e-13 6.7255721e-13 - 2.4112258e-13 6.5534763e-13 - 2.3626968e-13 6.3903413e-13 - 2.3164193e-13 6.2354739e-13 - 2.2722320e-13 6.0882507e-13 - 2.2299892e-13 5.9481094e-13 - 2.1895586e-13 5.8145401e-13 - 2.1508201e-13 5.6870852e-13 - 2.1136640e-13 5.5653257e-13 - 2.0779901e-13 5.4488824e-13 - 1.0907284e-12 4.1158752e-12 - 9.3704242e-13 3.4295613e-12 - 8.2627351e-13 2.9471291e-12 - 7.4214514e-13 2.5885203e-12 - 6.7578705e-13 2.3109521e-12 - 6.2192556e-13 2.0894228e-12 - 5.7721531e-13 1.9083139e-12 - 5.3942484e-13 1.7573508e-12 - 5.0700475e-13 1.6294901e-12 - 4.7884344e-13 1.5197369e-12 - 4.5412127e-13 1.4244480e-12 - 4.3221980e-13 1.3409028e-12 - 4.1266303e-13 1.2670265e-12 - 3.9507825e-13 1.2012094e-12 - 3.7916917e-13 1.1421825e-12 - 3.6469713e-13 1.0889313e-12 - 3.5146756e-13 1.0406359e-12 - 3.3932013e-13 9.9662497e-13 - 3.2812152e-13 9.5634417e-13 - 3.1775982e-13 9.1933181e-13 - 3.0814041e-13 8.8519938e-13 - 2.9918269e-13 8.5361835e-13 - 2.9081753e-13 8.2430847e-13 - 2.8298532e-13 7.9702964e-13 - 2.7563433e-13 7.7157434e-13 - 2.6871945e-13 7.4776292e-13 - 2.6220114e-13 7.2543838e-13 - 2.5604462e-13 7.0446364e-13 - 2.5021912e-13 6.8471780e-13 - 2.4469736e-13 6.6609408e-13 - 2.3945501e-13 6.4849815e-13 - 2.3447036e-13 6.3184562e-13 - 2.2972392e-13 6.1606143e-13 - 2.2519815e-13 6.0107805e-13 - 2.2087725e-13 5.8683530e-13 - 2.1674691e-13 5.7327846e-13 - 2.1279416e-13 5.6035852e-13 - 2.0900720e-13 5.4803055e-13 - 2.0537528e-13 5.3625421e-13 - 2.0188858e-13 5.2499279e-13 - 1.0686393e-12 3.9896538e-12 - 9.1744348e-13 3.3229129e-12 - 8.0852086e-13 2.8543915e-12 - 7.2582909e-13 2.5062203e-12 - 6.6062852e-13 2.2367987e-12 - 6.0772458e-13 2.0218206e-12 - 5.6382292e-13 1.8461037e-12 - 5.2672658e-13 1.6996629e-12 - 4.9491051e-13 1.5756542e-12 - 4.6728078e-13 1.4692248e-12 - 4.4303099e-13 1.3768362e-12 - 4.2155278e-13 1.2958457e-12 - 4.0237802e-13 1.2242385e-12 - 3.8514022e-13 1.1604509e-12 - 3.6954807e-13 1.1032514e-12 - 3.5536696e-13 1.0516556e-12 - 3.4240564e-13 1.0048664e-12 - 3.3050657e-13 9.6223296e-13 - 3.1953871e-13 9.2321719e-13 - 3.0939213e-13 8.8737090e-13 - 2.9997387e-13 8.5431705e-13 - 2.9120475e-13 8.2373697e-13 - 2.8301689e-13 7.9535876e-13 - 2.7535174e-13 7.6894942e-13 - 2.6815851e-13 7.4430761e-13 - 2.6139290e-13 7.2125909e-13 - 2.5501612e-13 6.9965182e-13 - 2.4899401e-13 6.7935240e-13 - 2.4329638e-13 6.6024397e-13 - 2.3789644e-13 6.4222286e-13 - 2.3277035e-13 6.2519742e-13 - 2.2789678e-13 6.0908600e-13 - 2.2325661e-13 5.9381582e-13 - 2.1883266e-13 5.7932155e-13 - 2.1460940e-13 5.6554449e-13 - 2.1057280e-13 5.5243195e-13 - 2.0671016e-13 5.3993615e-13 - 2.0300988e-13 5.2801371e-13 - 1.9946144e-13 5.1662569e-13 - 1.9605521e-13 5.0573601e-13 - 1.0464968e-12 3.8668845e-12 - 8.9782445e-13 3.2192175e-12 - 7.9077036e-13 2.7642484e-12 - 7.0953097e-13 2.4262446e-12 - 6.4549957e-13 2.1647574e-12 - 5.9356202e-13 1.9561578e-12 - 5.5047577e-13 1.7856903e-12 - 5.1407894e-13 1.6436517e-12 - 4.8287116e-13 1.5233922e-12 - 4.5577647e-13 1.4201978e-12 - 4.3200187e-13 1.3306312e-12 - 4.1094925e-13 1.2521263e-12 - 3.9215844e-13 1.1827262e-12 - 3.7526921e-13 1.1209134e-12 - 3.5999534e-13 1.0654916e-12 - 3.4610628e-13 1.0155052e-12 - 3.3341415e-13 9.7018092e-13 - 3.2176420e-13 9.2888729e-13 - 3.1102774e-13 8.9110141e-13 - 3.0109681e-13 8.5638867e-13 - 2.9188013e-13 8.2438350e-13 - 2.8329996e-13 7.9477640e-13 - 2.7528968e-13 7.6730385e-13 - 2.6779180e-13 7.4173945e-13 - 2.6075649e-13 7.1788842e-13 - 2.5414028e-13 6.9558134e-13 - 2.4790510e-13 6.7467090e-13 - 2.4201744e-13 6.5502774e-13 - 2.3644769e-13 6.3653851e-13 - 2.3116958e-13 6.1910285e-13 - 2.2615970e-13 6.0263168e-13 - 2.2139716e-13 5.8704604e-13 - 2.1686319e-13 5.7227517e-13 - 2.1254096e-13 5.5825590e-13 - 2.0841524e-13 5.4493122e-13 - 2.0447228e-13 5.3225014e-13 - 2.0069961e-13 5.2016635e-13 - 1.9708589e-13 5.0863781e-13 - 1.9362078e-13 4.9762653e-13 - 1.9029486e-13 4.8709798e-13 - 1.0242787e-12 3.7474710e-12 - 8.7816650e-13 3.1183906e-12 - 7.7300569e-13 2.6766253e-12 - 6.9323635e-13 2.3485265e-12 - 6.3038722e-13 2.0947667e-12 - 5.7942604e-13 1.8923785e-12 - 5.3716297e-13 1.7270219e-12 - 5.0147180e-13 1.5892684e-12 - 4.7087726e-13 1.4726583e-12 - 4.4432164e-13 1.3726122e-12 - 4.2102557e-13 1.2857917e-12 - 4.0040131e-13 1.2097051e-12 - 3.8199676e-13 1.1424525e-12 - 3.6545808e-13 1.0825605e-12 - 3.5050413e-13 1.0288677e-12 - 3.3690852e-13 9.8044668e-13 - 3.2448677e-13 9.3654748e-13 - 3.1308696e-13 8.9655616e-13 - 3.0258275e-13 8.5996641e-13 - 2.9286819e-13 8.2635588e-13 - 2.8385370e-13 7.9537013e-13 - 2.7546300e-13 7.6670894e-13 - 2.6763072e-13 7.4011649e-13 - 2.6030047e-13 7.1537351e-13 - 2.5342338e-13 6.9229082e-13 - 2.4695681e-13 6.7070437e-13 - 2.4086343e-13 6.5047097e-13 - 2.3511038e-13 6.3146564e-13 - 2.2966863e-13 6.1357819e-13 - 2.2451242e-13 5.9671121e-13 - 2.1961883e-13 5.8077856e-13 - 2.1496734e-13 5.6570361e-13 - 2.1053960e-13 5.5141770e-13 - 2.0631907e-13 5.3785983e-13 - 2.0229087e-13 5.2497460e-13 - 1.9844150e-13 5.1271264e-13 - 1.9475875e-13 5.0102877e-13 - 1.9123152e-13 4.8988274e-13 - 1.8784967e-13 4.7923759e-13 - 1.8460396e-13 4.6905968e-13 - 1.0019655e-12 3.6313187e-12 - 8.5845331e-13 3.0203527e-12 - 7.5521280e-13 2.5914527e-12 - 6.7693284e-13 2.2730014e-12 - 6.1528036e-13 2.0267674e-12 - 5.6530655e-13 1.8304281e-12 - 5.2387525e-13 1.6700476e-12 - 4.8889657e-13 1.5364659e-12 - 4.5892081e-13 1.4234076e-12 - 4.3290881e-13 1.3264253e-12 - 4.1009504e-13 1.2422773e-12 - 3.8990230e-13 1.1685437e-12 - 3.7188668e-13 1.1033805e-12 - 3.5570080e-13 1.0453568e-12 - 3.4106869e-13 9.9334606e-13 - 3.2776818e-13 9.4644780e-13 - 3.1561822e-13 9.0393408e-13 - 3.0446974e-13 8.6520951e-13 - 2.9419882e-13 8.2978248e-13 - 2.8470152e-13 7.9724376e-13 - 2.7588997e-13 7.6724890e-13 - 2.6768939e-13 7.3950732e-13 - 2.6003568e-13 7.1377047e-13 - 2.5287356e-13 6.8982585e-13 - 2.4615510e-13 6.6748999e-13 - 2.3983852e-13 6.4660369e-13 - 2.3388724e-13 6.2702841e-13 - 2.2826905e-13 6.0864275e-13 - 2.2295551e-13 5.9133981e-13 - 2.1792138e-13 5.7502536e-13 - 2.1314420e-13 5.5961591e-13 - 2.0860389e-13 5.4503709e-13 - 2.0428245e-13 5.3122250e-13 - 2.0016370e-13 5.1811267e-13 - 1.9623304e-13 5.0565428e-13 - 1.9247729e-13 4.9379926e-13 - 1.8888447e-13 4.8250408e-13 - 1.8544370e-13 4.7172943e-13 - 1.8214507e-13 4.6143965e-13 - 1.7897954e-13 4.5160223e-13 - 9.7954133e-13 3.5183358e-12 - 8.3867184e-13 2.9250235e-12 - 7.3738051e-13 2.5086583e-12 - 6.6061065e-13 2.1996063e-12 - 6.0017026e-13 1.9607028e-12 - 5.5119563e-13 1.7702535e-12 - 5.1060536e-13 1.6147182e-12 - 4.7634658e-13 1.4851978e-12 - 4.4699561e-13 1.3755966e-12 - 4.2153218e-13 1.2815963e-12 - 3.9920483e-13 1.2000488e-12 - 3.7944708e-13 1.1286049e-12 - 3.6182333e-13 1.0654742e-12 - 3.4599275e-13 1.0092685e-12 - 3.3168463e-13 9.5889373e-13 - 3.1868103e-13 9.1347641e-13 - 3.0680443e-13 8.7231022e-13 - 2.9590866e-13 8.3481741e-13 - 2.8587219e-13 8.0052122e-13 - 2.7659316e-13 7.6902438e-13 - 2.6798545e-13 7.3999309e-13 - 2.5997576e-13 7.1314527e-13 - 2.5250128e-13 6.8824021e-13 - 2.4550785e-13 6.6507143e-13 - 2.3894853e-13 6.4346144e-13 - 2.3278238e-13 6.2325565e-13 - 2.2697358e-13 6.0431979e-13 - 2.2149058e-13 5.8653626e-13 - 2.1630553e-13 5.6980136e-13 - 2.1139372e-13 5.5402381e-13 - 2.0673316e-13 5.3912273e-13 - 2.0230419e-13 5.2502581e-13 - 1.9808919e-13 5.1166889e-13 - 1.9407232e-13 4.9899448e-13 - 1.9023931e-13 4.8695059e-13 - 1.8657722e-13 4.7549089e-13 - 1.8307437e-13 4.6457305e-13 - 1.7972009e-13 4.5415917e-13 - 1.7650470e-13 4.4421454e-13 - 1.7341934e-13 4.3470773e-13 - 9.5699518e-13 3.4084329e-12 - 8.1881297e-13 2.8323265e-12 - 7.1950111e-13 2.4281755e-12 - 6.4426311e-13 2.1282796e-12 - 5.8505101e-13 1.8965163e-12 - 5.3708797e-13 1.7118032e-12 - 4.9734848e-13 1.5609853e-12 - 4.6381740e-13 1.4354187e-12 - 4.3509757e-13 1.3291831e-12 - 4.1018796e-13 1.2380850e-12 - 3.8835142e-13 1.1590683e-12 - 3.6903235e-13 1.0898523e-12 - 3.5180358e-13 1.0286992e-12 - 3.3633097e-13 9.7426186e-13 - 3.2234911e-13 9.2547880e-13 - 3.0964440e-13 8.8150196e-13 - 2.9804285e-13 8.4164627e-13 - 2.8740123e-13 8.0535133e-13 - 2.7760049e-13 7.7215462e-13 - 2.6854084e-13 7.4167087e-13 - 2.6013792e-13 7.1357638e-13 - 2.5231996e-13 6.8759749e-13 - 2.4502545e-13 6.6350081e-13 - 2.3820136e-13 6.4108642e-13 - 2.3180174e-13 6.2018175e-13 - 2.2578651e-13 6.0063729e-13 - 2.2012061e-13 5.8232300e-13 - 2.1477318e-13 5.6512436e-13 - 2.0971694e-13 5.4894147e-13 - 2.0492773e-13 5.3368562e-13 - 2.0038403e-13 5.1927816e-13 - 1.9606660e-13 5.0564954e-13 - 1.9195821e-13 4.9273722e-13 - 1.8804337e-13 4.8048565e-13 - 1.8430811e-13 4.6884446e-13 - 1.8073979e-13 4.5776866e-13 - 1.7732697e-13 4.4721735e-13 - 1.7405924e-13 4.3715380e-13 - 1.7092712e-13 4.2754431e-13 - 1.6792194e-13 4.1835851e-13 - 9.3432120e-13 3.3015235e-12 - 7.9887218e-13 2.7421874e-12 - 7.0157096e-13 2.3499382e-12 - 6.2788716e-13 2.0589631e-12 - 5.6991998e-13 1.8341545e-12 - 5.2298130e-13 1.6550277e-12 - 4.8410259e-13 1.5088031e-12 - 4.5130723e-13 1.3870855e-12 - 4.2322509e-13 1.2841259e-12 - 3.9887470e-13 1.1958528e-12 - 3.7753347e-13 1.1192991e-12 - 3.5865687e-13 1.0522510e-12 - 3.4182631e-13 9.9302221e-13 - 3.2671440e-13 9.4030537e-13 - 3.1306114e-13 8.9307028e-13 - 3.0065732e-13 8.5049477e-13 - 2.8933256e-13 8.1191362e-13 - 2.7894660e-13 7.7678353e-13 - 2.6938290e-13 7.4465602e-13 - 2.6054376e-13 7.1515727e-13 - 2.5234664e-13 6.8797353e-13 - 2.4472128e-13 6.6283925e-13 - 2.3760750e-13 6.3952843e-13 - 2.3095342e-13 6.1784717e-13 - 2.2471408e-13 5.9762816e-13 - 2.1885029e-13 5.7872650e-13 - 2.1332774e-13 5.6101599e-13 - 2.0811626e-13 5.4438594e-13 - 2.0318918e-13 5.2873938e-13 - 1.9852286e-13 5.1399028e-13 - 1.9409626e-13 5.0006268e-13 - 1.8989059e-13 4.8688887e-13 - 1.8588899e-13 4.7440849e-13 - 1.8207633e-13 4.6256761e-13 - 1.7843894e-13 4.5131758e-13 - 1.7496449e-13 4.4061467e-13 - 1.7164178e-13 4.3041935e-13 - 1.6846065e-13 4.2069595e-13 - 1.6541183e-13 4.1141201e-13 - 1.6248686e-13 4.0253791e-13 - 9.1151966e-13 3.1975242e-12 - 7.7885012e-13 2.6545337e-12 - 6.8359095e-13 2.2738831e-12 - 6.1148380e-13 1.9915984e-12 - 5.5477823e-13 1.7735646e-12 - 5.0887668e-13 1.5998782e-12 - 4.7086880e-13 1.4581268e-12 - 4.3881719e-13 1.3401568e-12 - 4.1137927e-13 1.2403862e-12 - 3.8759350e-13 1.1548624e-12 - 3.6675208e-13 1.0807058e-12 - 3.4832172e-13 1.0157673e-12 - 3.3189256e-13 9.5841118e-13 - 3.1714405e-13 9.0736796e-13 - 3.0382171e-13 8.6163899e-13 - 2.9172078e-13 8.2042613e-13 - 2.8067451e-13 7.8308465e-13 - 2.7054570e-13 7.4908752e-13 - 2.6122032e-13 7.1799959e-13 - 2.5260281e-13 6.8945857e-13 - 2.4461246e-13 6.6316018e-13 - 2.3718055e-13 6.3884715e-13 - 2.3024824e-13 6.1630023e-13 - 2.2376482e-13 5.9533150e-13 - 2.1768633e-13 5.7577901e-13 - 2.1197447e-13 5.5750192e-13 - 2.0659571e-13 5.4037829e-13 - 2.0152055e-13 5.2430080e-13 - 1.9672294e-13 5.0917528e-13 - 1.9217979e-13 4.9491851e-13 - 1.8787054e-13 4.8145710e-13 - 1.8377682e-13 4.6872517e-13 - 1.7988217e-13 4.5666440e-13 - 1.7617182e-13 4.4522252e-13 - 1.7263241e-13 4.3435228e-13 - 1.6925191e-13 4.2401153e-13 - 1.6601937e-13 4.1416191e-13 - 1.6292488e-13 4.0476890e-13 - 1.5995938e-13 3.9580100e-13 - 1.5711463e-13 3.8722963e-13 diff --git a/hyrec/Makefile b/hyrec/Makefile deleted file mode 100644 index 48384e6c..00000000 --- a/hyrec/Makefile +++ /dev/null @@ -1,19 +0,0 @@ -CC = gcc -AR = ar rv -CCFLAG = -O3 -LDFLAG = -O3 - -%.o: %.c - $(CC) $(CCFLAG) -c $*.c -o $*.o - -HYREC_SRC = hyrectools.o helium.o hydrogen.o history.o -HYREC_EXE = hyrec.o - -clean: - rm *.o - -hyrec: $(HYREC_SRC) $(HYREC_EXE) - $(CC) $(LDFLAG) -o hyrec $(HYREC_SRC) $(HYREC_EXE) -lm - -libhyrec.a: $(HYREC_SRC) - $(AR) $@ $(HYREC_SRC) diff --git a/hyrec/helium.c b/hyrec/helium.c deleted file mode 100644 index 1153e61f..00000000 --- a/hyrec/helium.c +++ /dev/null @@ -1,185 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* helium.c: all functions related to Hydrogen recombination */ -/* */ -/* Units used in these modules: m, s, Kelvin */ -/* */ -/* Version: January 2011 */ -/* Revision history: */ -/* - written November 2010 */ -/* - January 2011: added input variables so the value of xHeIII */ -/* and post-Saha corrections can be monitored from external routines */ -/*************************************************************************************************/ - - -#include -#include -#include - -/************************************************************************************************ -Gets xe in He II + III equilibrium -*************************************************************************************************/ - -double rec_sahaHeII(double nH0, double Tr0, double fHe, double z, double *xHeIII) { - - double Tr, nH, ainv, s; - - /* Current conditions */ - Tr = Tr0*(ainv=1+z); - nH = nH0*ainv*ainv*ainv; - - /* Obtain Saha ratio, xe*xHeIII/xHeII - * prefactor = (2*pi*m*k/h^2)^1.5 */ - - s = 2.414194e21*Tr*sqrt(Tr)*exp(-631462.7/Tr)/nH; - - *xHeIII = 2.*s*fHe/(1.+s+fHe)/(1.+sqrt(1.+4.*s*fHe/(1.+s+fHe)/(1.+s+fHe))); - - return(1. + fHe + *xHeIII); -} - -/************************************************************************************** -Gets xe in He I + II equilibrium -***************************************************************************************/ - -double rec_sahaHeI(double nH0, double Tr0, double fHe, double z) { - - double Tr, nH, ainv, s, q; - - /* Current conditions */ - Tr = Tr0*(ainv=1+z); - nH = nH0*ainv*ainv*ainv; - - /* Obtain Saha ratio, xe*xHeII/xHeI - * prefactor = (2*pi*m*k/h^2)^1.5 */ - - s = 2.414194e21*Tr*sqrt(Tr)*exp(-285325./Tr)/nH * 4.; - - q = 2.*s*fHe/(1.+s)/(1.+sqrt(1.+4.*s*fHe/(1.+s)/(1.+s))); /* q = xHeII */ - - return(1.+q); -} - -/*************************************************************************************** -Saha equilibrium for Hydrogen, needed in the evolution equation for helium -***************************************************************************************/ - -double rec_saha_xe_H(double nH0, double T0, double z) { - - double xeSaha, s, Tr, nH, ainv; - - Tr = T0 * (ainv=1.+z); /* current radiation temperature */ - nH = nH0*ainv*ainv*ainv; - - /* Obtain Saha ratio, xe^2/(1-xe) - * Constants: - * reduced mass Rydberg = 157801.37882 Kelvin (no relativistic corrections) - * prefactor = (2*pi*m*k/h^2)^1.5 */ - - s = 2.4127161187130e21*Tr*sqrt(Tr)*exp(-157801.37882/Tr)/nH; - - xeSaha = 2./(1.+sqrt(1.+4./s)); - return(xeSaha); -} - -/************************************************************************************* - He II->I recombination rate evolution equation. - Incorporates 2(1)P-->1(1)S escape, with H continuum opacity - 2(1)S-->1(1)S 2 photon decay - 2(3)P-->1(1)S Sobolev - Assumes Compton temperature equilibrium, no Thomson opacity. -**************************************************************************************/ - -double rec_helium_dxedt(double xe, double nH0, double Tr0, double fHe, double H, double z) { - double Tr, nH, ainv, s, s0; - double xHeI, xHeII, y2s, y2p, xHII; - double etacinv, g2pinc, dnuline, tau2p, pesc, tauc; - double xdown, xup, ydown, enh; - - /* Current conditions */ - Tr = Tr0*(ainv=1+z); - nH = nH0*ainv*ainv*ainv; - - /* Saha abundance ratio, and ratio for zero ionization potential */ - s0 = 2.414194e21*Tr*sqrt(Tr)/nH * 4.; - s = s0 * exp(-285325./Tr); - - /* Abundances of excited levels. y is defined as x_i = y_i * xe * xHeII */ - xHII = rec_saha_xe_H(nH0,Tr0,z); - xHeII = xe - xHII; - xHeI = fHe - xHeII; - y2s = exp(46090./Tr)/s0; - y2p = exp(39101./Tr)/s0 * 3.; - - /* Continuum opacity = H/nH^2 * T^3/2 * exp(-chi/kT) * (2 pi m_e k/h^2)^{3/2} nu/(sigma c) */ - /* coef. is 2.205e50 => log = 115.920 */ - etacinv = H/(nH*nH*xe) * Tr*sqrt(Tr) * exp(115.920-157801.37882/Tr); - - /* Incoherent width of 2(1)P incl. ->2s, 3s, 3d, 4s, 4d, 5s, 5d */ - g2pinc = 1.976e6 / (1.-exp(-6989./Tr)) - + 6.03e6 / (exp(19754./Tr)-1.) - + 1.06e8 / (exp(21539./Tr)-1.) - + 2.18e6 / (exp(28496./Tr)-1.) - + 3.37e7 / (exp(29224./Tr)-1.) - + 1.04e6 / (exp(32414./Tr)-1.) - + 1.51e7 / (exp(32781./Tr)-1.); - - - /* Optical depth, escape prob in x2p */ - tau2p = 4.277e-14 * nH/H * xHeI; - dnuline = g2pinc * tau2p / (4.*M_PI*M_PI); - tauc = dnuline/etacinv; - enh = sqrt(1.+M_PI*M_PI*tauc) + 7.74*tauc/(1.+70.*tauc); - pesc = enh / tau2p; - - - /* Effective increase in escape probability via intercombination line - * ratio of optical depth to allowed line = 1.023e-7 - * 1-e^-tau23 = absorption prob. in intercom line - * e^[(E21P-E23P)/T] - e^[-(E21P-E23P)*eta_c] = step in intercom line - * relative to N_line in 21P - * divide by tau2p to get effective increase in escape prob. - * factor of 0.964525 is phase space factor for intercom vs allowed line -- (584/591)^3 - */ - pesc = pesc + (1.-exp(-1.023e-7*tau2p))*(0.964525*exp(2947./Tr)-enh*exp(-6.14e13/etacinv))/tau2p; - - /* Net decay rate */ - ydown = 50.94*y2s + 1.7989e9*y2p*pesc; - - - /* Excitation via detailed balance */ - xdown = ydown * xHeII * xe; - xup = ydown * xHeI * s; - - /* Return recombination rate, including derivative of hydrogen Saha */ - return(xup-xdown + H*(1.+z)*(rec_saha_xe_H(nH0,Tr0,z-0.5)-rec_saha_xe_H(nH0,Tr0,z+0.5)) ); -} - -/****************************************************************************************************** -Post-Saha expansion for beginning of Helium II -> Helium I -*******************************************************************************************************/ - -double xe_PostSahaHe(double nH0, double Tr0, double fHe, double H, double z, double *Delta_xe){ - - double Tr, nH, s, xeSaha, dxeSahadt, Dxe, DxedotDxe, ainv; - - Tr = Tr0 * (ainv=1.+z); /* current radiation temperature */ - nH = nH0*ainv*ainv*ainv; - - s = 2.414194e21*Tr*sqrt(Tr)*exp(-285325./Tr)/nH * 4.; - xeSaha = rec_sahaHeI(nH0, Tr0, fHe, z); - dxeSahadt = - xeSaha*(xeSaha-1.)/(2.*xeSaha +s-1.) * (285325./Tr - 1.5) * H; /* analytic derivative of xeSaha */ - - Dxe = 0.01 * (1.+fHe-xeSaha); - DxedotDxe = (rec_helium_dxedt(xeSaha + Dxe, nH0, Tr0, fHe, H, z) - - rec_helium_dxedt(xeSaha - Dxe, nH0, Tr0, fHe, H, z))/2./Dxe; - - *Delta_xe = dxeSahadt/DxedotDxe; - - return xeSaha + *Delta_xe; - -} - -/********************************************************************************************************/ diff --git a/hyrec/helium.h b/hyrec/helium.h deleted file mode 100644 index 906fe159..00000000 --- a/hyrec/helium.h +++ /dev/null @@ -1,14 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* helium.h: all functions related to helium recombination */ -/* */ -/* Version: January 2011 (first released November 2010) */ -/*************************************************************************************************/ - -double rec_sahaHeII(double nH0, double Tr0, double fHe, double z, double *xHeIII); -double rec_sahaHeI(double nH0, double Tr0, double fHe, double z); -double rec_helium_dxedt(double xe, double nH0, double Tr0, double fHe, double H, double z); -double rec_saha_xe_H(double nH0, double T0, double z); -double xe_PostSahaHe(double nH0, double Tr0, double fHe, double H, double z, double *Delta_xe); diff --git a/hyrec/history.c b/hyrec/history.c deleted file mode 100644 index eb85692a..00000000 --- a/hyrec/history.c +++ /dev/null @@ -1,469 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* history.c: compute reionization history */ -/* */ -/* Version: January 2011 */ -/* Revision history: */ -/* - written November 2010 */ -/* - January 2011: changed various switches (notably for post-Saha expansions) */ -/* so that they remain valid for arbitrary cosmologies */ -/*************************************************************************************************/ - -#include -#include -#include -#include - -#include "hyrectools.h" -#include "helium.h" -#include "hydrogen.h" -#include "history.h" - -/************************************************************************************************* -Cosmological parameters Input/Output -*************************************************************************************************/ - -void rec_get_cosmoparam(FILE *fin, FILE *fout, REC_COSMOPARAMS *param) { - int fscanf_result; - - fscanf_result = 0; - /* Cosmology */ - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter CMB temperature today [Kelvin]: "); - fscanf_result += fscanf(fin, "%lg", &(param->T0)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter baryon density, omega_bh2: "); - fscanf_result += fscanf(fin, "%lg", &(param->obh2)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter total matter (CDM+baryons) density, omega_mh2: "); - fscanf_result += fscanf(fin, "%lg", &(param->omh2)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter curvature, omega_kh2: "); - fscanf_result += fscanf(fin, "%lg", &(param->okh2)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter dark energy density, omega_deh2: "); - fscanf_result += fscanf(fin, "%lg", &(param->odeh2)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter dark energy equation of state parameters, w wa: "); - fscanf_result += fscanf(fin, "%lg %lg", &(param->w0), &(param->wa)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter primordial helium mass fraction, Y: "); - fscanf_result += fscanf(fin, "%lg", &(param->Y)); - if (fout!=NULL && PROMPT==1) fprintf(fout, "Enter effective number of neutrino species, N_nu_eff: "); - fscanf_result += fscanf(fin, "%lg", &(param->Nnueff)); - if (fscanf_result!=9){printf("Hyrec Warning :: Failed to read cosmological parameters");} - - param->nH0 = 11.223846333047*param->obh2*(1.-param->Y); /* number density of hudrogen today in m-3 */ - param->fHe = param->Y/(1-param->Y)/3.97153; /* abundance of helium by number */ - - - /* Redshift range */ - param->zstart = 8000.; - param->zend = 0.; - param->dlna = 8.49e-5; - param->nz = (long) floor(2+log((1.+param->zstart)/(1.+param->zend))/param->dlna); - - if (fout!=NULL && PROMPT==1) fprintf(fout, "\n"); -} - -/************************************************************************************* -Hubble expansion parameter in sec^-1 -*************************************************************************************/ - -double rec_HubbleConstant(REC_COSMOPARAMS *param, double z) { - - int j; - double rho, rho_i[5], ainv; - double ogh2; - - ainv = 1.+z; /* inverse scale factor */ - - /* Matter */ - rho_i[0] = param->omh2 *ainv*ainv*ainv; - - /* Curvature */ - rho_i[1] = param->okh2 *ainv*ainv; - - /* Dark energy */ - rho_i[2] = param->odeh2 * pow(ainv, 3*(1+param->w0)) * exp(3*param->wa* (log(ainv)-1.+1./ainv)); - - /* Get radiation density. - * Coefficient based on 1 AU = 1.49597870691e11 m (JPL SSD) */ - ogh2 = 4.48162687719e-7 * param->T0 * param->T0 * param->T0 * param->T0; - rho_i[3] = ogh2 *ainv*ainv*ainv*ainv; - - /* Neutrino density -- scaled from photons assuming lower temperature */ - rho_i[4] = 0.227107317660239 * rho_i[3] * param->Nnueff; - - /* Total density, including curvature contribution */ - rho = 0.; for(j=0; j<5; j++) rho += rho_i[j]; - - /* Conversion to Hubble rate */ - return( 3.2407792896393e-18 * sqrt(rho) ); -} - -/***************************************************************************************** -Matter temperature -- 1st order steady state, from Hirata 2008 -******************************************************************************************/ - -double rec_Tmss(double xe, double Tr, double H, double fHe, double nH, double energy_rate) { - - double chi_heat; - - //chi_heat = (1.+2.*xe)/3.; // old approximation from Chen and Kamionkowski - - // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 2 in Table V of Galli et al. 2013) - if (xe < 1.) { - chi_heat = 0.996857*(1.-pow(1.-pow(xe,0.300134),1.51035)); - if (chi_heat > 1.) chi_heat = 1.; - } - else - chi_heat = 1.; - - return Tr/(1.+H/4.91466895548409e-22/Tr/Tr/Tr/Tr*(1.+xe+fHe)/xe) - +2./3./kBoltz*chi_heat/nH*energy_rate/(4.91466895548409e-22*pow(Tr,4)*xe); - - /* Coefficient = 8 sigma_T a_r / (3 m_e c) */ -} - -/****************************************************************************************** -Matter temperature evolution derivative -******************************************************************************************/ - -double rec_dTmdlna(double xe, double Tm, double Tr, double H, double fHe, double nH, double energy_rate) { - - double chi_heat; - - //chi_heat = (1.+2.*xe)/3.; // old approximation from Chen and Kamionkowski - - // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 2 in Table V of Galli et al. 2013) - if (xe < 1.) { - chi_heat = 0.996857*(1.-pow(1.-pow(xe,0.300134),1.51035)); - if (chi_heat > 1.) chi_heat = 1.; - } - else - chi_heat = 1.; - - return -2.*Tm + 4.91466895548409e-22*Tr*Tr*Tr*Tr*xe/(1.+xe+fHe)*(Tr-Tm)/H - +2./3./kBoltz*chi_heat/nH*energy_rate/(1.+xe+fHe)/H; -} - -/********************************************************************************************** -Second order integrator using derivative from previous time steps -Evolves xe only, assumes Tm is given by the steady-state solution -***********************************************************************************************/ - -void rec_get_xe_next1(REC_COSMOPARAMS *param, double z1, double xe_in, double *xe_out, - HRATEEFF *rate_table, int func_select, unsigned iz, TWO_PHOTON_PARAMS *twog_params, - double **logfminus_hist, double *logfminus_Ly_hist[], - double *z_prev, double *dxedlna_prev, double *z_prev2, double *dxedlna_prev2) { - - double dxedlna, Tr, nH, ainv, H, Tm; - - Tr = param->T0 * (ainv=1.+z1); - nH = param->nH0 * ainv*ainv*ainv; - H = rec_HubbleConstant(param, z1); - Tm = rec_Tmss(xe_in, Tr, H, param->fHe, nH*1e-6, energy_injection_rate(param,z1)); - - #if (MODEL == PEEBLES) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HPeebles_dxedlna(xe_in, nH*1e-6, H, Tm*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1)); - #elif (MODEL == RECFAST) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HRecFast_dxedlna(xe_in, nH*1e-6, H, Tm*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1)); - #elif (MODEL == EMLA2s2p) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HMLA_dxedlna(xe_in, nH*1e-6, H, Tm*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1), rate_table); - #else - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - func_select==FUNC_H2G ? rec_HMLA_2photon_dxedlna(xe_in, nH*1e-6, H, Tm*kBoltz, Tr*kBoltz, rate_table, twog_params, - param->zstart, param->dlna, logfminus_hist, logfminus_Ly_hist, iz, z1, energy_injection_rate(param,z1)) - :rec_HMLA_dxedlna(xe_in, nH*1e-6, H, Tm*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1), rate_table); - #endif - - *xe_out = xe_in + param->dlna * (1.25 * dxedlna - 0.25 * (*dxedlna_prev2)); - - *z_prev2 = *z_prev; - *dxedlna_prev2 = *dxedlna_prev; - *z_prev = z1; - *dxedlna_prev = dxedlna; - -} - -/********************************************************************************************** -Second order integrator using derivative from previous time steps -Evolves xe and Tm simultaneously -***********************************************************************************************/ - -void rec_get_xe_next2(REC_COSMOPARAMS *param, double z1, double xe_in, double Tm_in, double *xe_out, double *Tm_out, - HRATEEFF *rate_table, int func_select, unsigned iz, TWO_PHOTON_PARAMS *twog_params, - double **logfminus_hist, double *logfminus_Ly_hist[], - double *z_prev, double *dxedlna_prev, double *dTmdlna_prev, - double *z_prev2, double *dxedlna_prev2, double *dTmdlna_prev2) { - - double dxedlna, dTmdlna, Tr, nH, ainv, H; - - Tr = param->T0 * (ainv=1.+z1); - nH = param->nH0 * ainv*ainv*ainv; - H = rec_HubbleConstant(param, z1); - - #if (MODEL == PEEBLES) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HPeebles_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1)); - #elif (MODEL == RECFAST) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HRecFast_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1)); - #elif (MODEL == EMLA2s2p) - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - rec_HMLA_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1), rate_table); - #else - dxedlna = func_select==FUNC_HEI ? rec_helium_dxedt(xe_in, param->nH0, param->T0, param->fHe, H, z1)/H: - func_select==FUNC_H2G ? rec_HMLA_2photon_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, rate_table, twog_params, - param->zstart, param->dlna, logfminus_hist, logfminus_Ly_hist, iz, z1, - energy_injection_rate(param,z1)): - func_select==FUNC_HMLA ? rec_HMLA_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1), rate_table) - :rec_HPeebles_dxedlna(xe_in, nH*1e-6, H, Tm_in*kBoltz, Tr*kBoltz, energy_injection_rate(param,z1)); /* used for z < 20 only */ - #endif - - dTmdlna = rec_dTmdlna(xe_in, Tm_in, Tr, H, param->fHe, nH*1e-6, energy_injection_rate(param,z1)); - - *xe_out = xe_in + param->dlna * (1.25 * dxedlna - 0.25 * (*dxedlna_prev2)); - *Tm_out = Tm_in + param->dlna * (1.25 * dTmdlna - 0.25 * (*dTmdlna_prev2)); - - *z_prev2 = *z_prev; - *dxedlna_prev2 = *dxedlna_prev; - *dTmdlna_prev2 = *dTmdlna_prev; - *z_prev = z1; - *dxedlna_prev = dxedlna; - *dTmdlna_prev = dTmdlna; - - -} - -/**************************************************************************************************** -Builds a recombination history -****************************************************************************************************/ - -void rec_build_history(REC_COSMOPARAMS *param, HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog_params, - double *xe_output, double *Tm_output) { - - - long iz; - double **logfminus_hist; - double *logfminus_Ly_hist[3]; - double H, z, z_prev, dxedlna_prev, z_prev2, dxedlna_prev2, dTmdlna_prev, dTmdlna_prev2; - double Delta_xe; - - /* history of photon occupation numbers */ - logfminus_hist = create_2D_array(NVIRT, param->nz); - logfminus_Ly_hist[0] = create_1D_array(param->nz); /* Ly-alpha */ - logfminus_Ly_hist[1] = create_1D_array(param->nz); /* Ly-beta */ - logfminus_Ly_hist[2] = create_1D_array(param->nz); /* Ly-gamma */ - - - z = param->zstart; - - - /********* He II + III Saha phase *********/ - Delta_xe = 1.; /* Delta_xe = xHeIII */ - - for(iz=0; iznz && Delta_xe > 1e-9; iz++) { - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - xe_output[iz] = rec_sahaHeII(param->nH0,param->T0,param->fHe,z, &Delta_xe); - Tm_output[iz] = param->T0 * (1.+z); - } - - /******* He I + II post-Saha phase *********/ - Delta_xe = 0.; /* Delta_xe = xe - xe(Saha) */ - - for (; iznz && Delta_xe < 5e-4; iz++) { - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - xe_output[iz] = xe_PostSahaHe(param->nH0,param->T0,param->fHe, rec_HubbleConstant(param,z), z, &Delta_xe); - Tm_output[iz] = param->T0 * (1.+z); - } - - /****** Segment where we follow the helium recombination evolution, Tm fixed to steady state *******/ - - z_prev2 = (1.+param->zstart)*exp(-param->dlna*(iz-3)) - 1.; - dxedlna_prev2 = (xe_output[iz-2] - xe_output[iz-4])/2./param->dlna; - - z_prev = (1.+param->zstart)*exp(-param->dlna*(iz-2)) - 1.; - dxedlna_prev = (xe_output[iz-1] - xe_output[iz-3])/2./param->dlna; - - Delta_xe = 1.; /* Difference between xe and H-Saha value */ - - for(; iznz && (Delta_xe > 1e-4 || z > 1650.); iz++) { - - rec_get_xe_next1(param, z, xe_output[iz-1], xe_output+iz, rate_table, FUNC_HEI, iz-1, twog_params, - logfminus_hist, logfminus_Ly_hist, &z_prev, &dxedlna_prev, &z_prev2, &dxedlna_prev2); - - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - Tm_output[iz] = rec_Tmss(xe_output[iz], param->T0*(1.+z), rec_HubbleConstant(param, z), param->fHe, param->nH0*cube(1.+z), energy_injection_rate(param,z)); - - /* Starting to populate the photon occupation number with thermal values */ - update_fminus_Saha(logfminus_hist, logfminus_Ly_hist, xe_output[iz], param->T0*(1.+z)*kBoltz, - param->nH0*cube(1.+z)*1e-6, twog_params, param->zstart, param->dlna, iz, z, 0); - - Delta_xe = fabs(xe_output[iz]- rec_saha_xe_H(param->nH0, param->T0, z)); - } - - - /******* Hydrogen post-Saha equilibrium phase *********/ - Delta_xe = 0.; /*Difference between xe and Saha value */ - - for(; iznz && Delta_xe < 5e-5; iz++) { - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - H = rec_HubbleConstant(param,z); - xe_output[iz] = xe_PostSahaH(param->nH0*cube(1.+z)*1e-6, H, kBoltz*param->T0*(1.+z), rate_table, twog_params, - param->zstart, param->dlna, logfminus_hist, logfminus_Ly_hist, iz, z, &Delta_xe, MODEL, energy_injection_rate(param,z)); - Tm_output[iz] = rec_Tmss(xe_output[iz], param->T0*(1.+z), H, param->fHe, param->nH0*cube(1.+z), energy_injection_rate(param,z)); - } - - /******* Segment where we follow the hydrogen recombination evolution with two-photon processes - Tm fixed to steady state ******/ - - z_prev2 = (1.+param->zstart)*exp(-param->dlna*(iz-3)) - 1.; - dxedlna_prev2 = (xe_output[iz-2] - xe_output[iz-4])/2./param->dlna; - - z_prev = (1.+param->zstart)*exp(-param->dlna*(iz-2)) - 1.; - dxedlna_prev = (xe_output[iz-1] - xe_output[iz-3])/2./param->dlna; - - for(; iznz && 1.-Tm_output[iz-1]/param->T0/(1.+z) < 5e-4 && z > 700.; iz++) { - - rec_get_xe_next1(param, z, xe_output[iz-1], xe_output+iz, rate_table, FUNC_H2G, iz-1, twog_params, - logfminus_hist, logfminus_Ly_hist, &z_prev, &dxedlna_prev, &z_prev2, &dxedlna_prev2); - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - Tm_output[iz] = rec_Tmss(xe_output[iz], param->T0*(1.+z), rec_HubbleConstant(param, z), param->fHe, param->nH0*cube(1.+z)*1e-6, energy_injection_rate(param,z)); - } - - /******* Segment where we follow the hydrogen recombination evolution with two-photon processes - AND Tm evolution ******/ - - dTmdlna_prev2 = rec_dTmdlna(xe_output[iz-3], Tm_output[iz-3], param->T0*(1.+z_prev2), - rec_HubbleConstant(param, z_prev2), param->fHe, param->nH0*cube(1.+z_prev2), energy_injection_rate(param,z_prev2)); - dTmdlna_prev = rec_dTmdlna(xe_output[iz-2], Tm_output[iz-2], param->T0*(1.+z_prev), - rec_HubbleConstant(param, z_prev), param->fHe, param->nH0*cube(1.+z_prev), energy_injection_rate(param,z_prev)); - - for(; iznz && z > 700.; iz++) { - - rec_get_xe_next2(param, z, xe_output[iz-1], Tm_output[iz-1], xe_output+iz, Tm_output+iz, rate_table, FUNC_H2G, - iz-1, twog_params, logfminus_hist, logfminus_Ly_hist, &z_prev, &dxedlna_prev, &dTmdlna_prev, - &z_prev2, &dxedlna_prev2, &dTmdlna_prev2); - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - } - - /***** Segment where we follow Tm as well as xe *****/ - /* Radiative transfer effects switched off here */ - for(; iznz && z>20.; iz++) { - - rec_get_xe_next2(param, z, xe_output[iz-1], Tm_output[iz-1], xe_output+iz, Tm_output+iz, rate_table, FUNC_HMLA, - iz-1, twog_params, logfminus_hist, logfminus_Ly_hist, &z_prev, &dxedlna_prev, &dTmdlna_prev, - &z_prev2, &dxedlna_prev2, &dTmdlna_prev2); - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - } - - /*** For z < 20 use Peeble's model. The precise model does not metter much here as - 1) the free electron fraction is basically zero (~1e-4) in any case and - 2) the universe is going to be reionized around that epoch - Tm is still evolved explicitly ***/ - for(; iznz; iz++) { - - rec_get_xe_next2(param, z, xe_output[iz-1], Tm_output[iz-1], xe_output+iz, Tm_output+iz, rate_table, FUNC_PEEBLES, - iz-1, twog_params, logfminus_hist, logfminus_Ly_hist, &z_prev, &dxedlna_prev, &dTmdlna_prev, - &z_prev2, &dxedlna_prev2, &dTmdlna_prev2); - z = (1.+param->zstart)*exp(-param->dlna*iz) - 1.; - } - - /* Cleanup */ - free_2D_array(logfminus_hist, NVIRT); - free(logfminus_Ly_hist[0]); - free(logfminus_Ly_hist[1]); - free(logfminus_Ly_hist[2]); - -} - -double onthespot_injection_rate(REC_COSMOPARAMS *param, - double z) { - - double annihilation_at_z; - double rho_cdm_today; - double u_min; - double erfc; - - /*redshift-dependent annihilation parameter*/ - - if (z>param->annihilation_zmax) { - - annihilation_at_z = param->annihilation* - exp(-param->annihilation_variation*pow(log((param->annihilation_z+1.)/(param->annihilation_zmax+1.)),2)); - } - else if (z>param->annihilation_zmin) { - - annihilation_at_z = param->annihilation* - exp(param->annihilation_variation*(-pow(log((param->annihilation_z+1.)/(param->annihilation_zmax+1.)),2) - +pow(log((z+1.)/(param->annihilation_zmax+1.)),2))); - } - else { - - annihilation_at_z = param->annihilation* - exp(param->annihilation_variation*(-pow(log((param->annihilation_z+1.)/(param->annihilation_zmax+1.)),2) - +pow(log((param->annihilation_zmin+1.)/(param->annihilation_zmax+1.)),2))); - } - - rho_cdm_today = param->omh2*1.44729366e-9; /* energy density in Kg/m^3 */ - - u_min = (1+z)/(1+param->annihilation_z_halo); - - erfc = pow(1.+0.278393*u_min+0.230389*u_min*u_min+0.000972*u_min*u_min*u_min+0.078108*u_min*u_min*u_min*u_min,-4); - - return (pow(rho_cdm_today,2)/2.99792458e8/2.99792458e8*pow((1.+z),3)* - (pow((1.+z),3)*annihilation_at_z+param->annihilation_f_halo*erfc) - +rho_cdm_today*pow((1+z),3)*param->decay)/1.e6/1.60217653e-19; - /* energy density rate in eV/cm^3/s (remember that annihilation_at_z is in m^3/s/Kg and decay in s^-1) */ - /* note that the injection rate used by recfast, defined in therodynamics.c, is in J/m^3/s. Here we multiplied by 1/1.e6/1.60217653e-19 to convert to eV and cm. */ - -} - -double energy_injection_rate(REC_COSMOPARAMS *param, - double z) { - - double zp,dz; - double integrand,first_integrand; - double factor,result; - - if (param->annihilation > 0.) { - - if (param->has_on_the_spot == 0) { - - /* factor = c sigma_T n_H(0) / H(0) (dimensionless) */ - factor = 2.99792458e8 * 6.6524616e-29 * param->nH0 / (3.2407792896393e-18 * sqrt(param->omh2)); - - /* integral over z'(=zp) with step dz */ - dz=1.; - - /* first point in trapezoidal integral */ - zp = z; - first_integrand = factor*pow(1+z,8)/pow(1+zp,7.5)*exp(2./3.*factor*(pow(1+z,1.5)-pow(1+zp,1.5)))*onthespot_injection_rate(param,zp); // beware: versions before 2.4.3, there were rwrong exponents: 6 and 5.5 instead of 8 and 7.5 - result = 0.5*dz*first_integrand; - - /* other points in trapezoidal integral */ - do { - - zp += dz; - integrand = factor*pow(1+z,8)/pow(1+zp,7.5)*exp(2./3.*factor*(pow(1+z,1.5)-pow(1+zp,1.5)))*onthespot_injection_rate(param,zp); // beware: versions before 2.4.3, there were rwrong exponents: 6 and 5.5 instead of 8 and 7.5 - result += dz*integrand; - //moment += dz*integrand*(zp-z); - - } while (integrand/first_integrand > 0.02); - - /* test lines for printing energy rate rescaled by (1=z)^6 in J/m^3/s w/o approximation */ - /* fprintf(stdout,"%e %e %e\n", 1.+z, result/pow(1.+z,6)*1.602176487e-19*1.e6, onthespot_injection_rate(param,z)/pow(1.+z,6)*1.602176487e-19*1.e6); */ - - } - else { - result = onthespot_injection_rate(param,z); - } - - /* effective energy density rate in eV/cm^3/s */ - return result; - } - else { - return 0.; - } - -} diff --git a/hyrec/history.h b/hyrec/history.h deleted file mode 100644 index 4b7fff0d..00000000 --- a/hyrec/history.h +++ /dev/null @@ -1,98 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* history.h: functions for recombination history */ -/* */ -/*************************************************************************************************/ - -#define PROMPT 1 /* Set to zero to suppress initial prompts */ - -/**** Switch to choose the physical model used for hydrogen ****/ - -/* definitions*/ -#define PEEBLES 0 /* Peebles effective three-level atom */ -#define RECFAST 1 /* Effective three-level atom for hydrogen with fudge factor F = 1.14 */ -#define EMLA2s2p 2 /* Correct EMLA model, with standard decay rates from 2s and 2p only */ -#define FULL 3 /* All radiative transfer effects included. Additional switches in header file hydrogen.h */ - -/** here is the switch **/ -#define MODEL RECFAST /* default setting: FULL */ - -/***** Switches for derivative d(xe)/dt *****/ - -#define FUNC_HEI 1 -#define FUNC_H2G 2 -#define FUNC_HMLA 3 -#define FUNC_PEEBLES 4 - -/**** Cosmological parameters. - Include information on starting and ending redshit and timestep ****/ - -typedef struct { - double T0; /* CMB temperature today in K*/ - double obh2, omh2, okh2; /* cosmological parameters */ - double odeh2, w0, wa; /* dark energy parameters */ - double Y; /* primordial helium abundance */ - double Nnueff; /* effective number of neutrinos */ - - /* Secondary parameters, to avoid recalculating every time */ - double nH0; /* density of hydrogen today in m^{-3} */ - double fHe; /* Helium fraction by number */ - - double zstart, zend, dlna; /* initial and final redshift and step size in log a */ - long nz; /* total number of redshift steps */ - - /** parameters for energy injection */ - - double annihilation; /** parameter describing CDM annihilation (f / m_cdm, see e.g. 0905.0003) */ - - short has_on_the_spot; /** do we want to use the on-the-spot approximation? */ - - double decay; /** parameter descibing CDM decay (f/tau, see e.g. 1109.6322)*/ - - double annihilation_variation; /** if this parameter is non-zero, - the function F(z)=(f / - m_cdm)(z) will be a parabola in - log-log scale between zmin and - zmax, with a curvature given by - annihlation_variation (must ne - negative), and with a maximum in - zmax; it will be constant outside - this range */ - - double annihilation_z; /** if annihilation_variation is non-zero, - this is the value of z at which the - parameter annihilation is defined, i.e. - F(annihilation_z)=annihilation */ - - double annihilation_zmax; /** if annihilation_variation is non-zero, - redhsift above which annihilation rate - is maximal */ - - double annihilation_zmin; /** if annihilation_variation is non-zero, - redhsift below which annihilation rate - is constant */ - - double annihilation_f_halo; /* takes the contribution of DM annihilation in halos into account*/ - double annihilation_z_halo; /*characteristic redshift for DM annihilation in halos*/ - -} REC_COSMOPARAMS; - -void rec_get_cosmoparam(FILE *fin, FILE *fout, REC_COSMOPARAMS *param); -double rec_HubbleConstant(REC_COSMOPARAMS *param, double z); -double rec_Tmss(double xe, double Tr, double H, double fHe, double nH, double energy_rate); -double rec_dTmdlna(double xe, double Tm, double Tr, double H, double fHe , double nH, double energy_rate); -void rec_get_xe_next1(REC_COSMOPARAMS *param, double z1, double xe_in, double *xe_out, - HRATEEFF *rate_table, int func_select, unsigned iz, TWO_PHOTON_PARAMS *twog_params, - double **logfminus_hist, double *logfminus_Ly_hist[], - double *z_prev, double *dxedlna_prev, double *z_prev2, double *dxedlna_prev2); -void rec_get_xe_next2(REC_COSMOPARAMS *param, double z1, double xe_in, double Tm_in, double *xe_out, double *Tm_out, - HRATEEFF *rate_table, int func_select, unsigned iz, TWO_PHOTON_PARAMS *twog_params, - double **logfminus_hist, double *logfminus_Ly_hist[], - double *z_prev, double *dxedlna_prev, double *dTmdlna_prev, - double *z_prev2, double *dxedlna_prev2, double *dTmdlna_prev2); -void rec_build_history(REC_COSMOPARAMS *param, HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog_params, - double *xe_output, double *Tm_output); - -double energy_injection_rate(REC_COSMOPARAMS *param, double z); diff --git a/hyrec/hydrogen.c b/hyrec/hydrogen.c deleted file mode 100644 index 3170ef3a..00000000 --- a/hyrec/hydrogen.c +++ /dev/null @@ -1,834 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* hydrogen.c: all functions related to Hydrogen recombination */ -/* */ -/* Units used: cgs + eV (all temperatures in eV) */ -/* */ -/* Version: January 2011 */ -/* Revision history: */ -/* - written November 2010 */ -/* - January 2011: - changed the post-Saha expansion to use the full derivative */ -/* (including two-photon processes and diffusion) rather than Peebles'ODE */ -/* - post-Saha expansion can now pass the difference from Saha value */ -/* to external routines */ -/* - differential 2s--1s rate is now systematically normalized to */ -/* total 2s--1s rate that can be set by user in hydrogen.h */ -/*************************************************************************************************/ - -#include -#include -#include - -#include "hyrectools.h" -#include "hydrogen.h" - - -/************************************************************************************************** -Case-B recombination coefficient, fit of Pequignot et al 1991, in cm^3 s^{-1} -***************************************************************************************************/ - -double alphaB_PPB(double TM) { - double t4; - t4 = TM/kBoltz/1e4; - return 4.309e-13*pow(t4,-0.6166)/(1.+ 0.6703*pow(t4,0.5300)); -} - -/************************************************************************************************** -Peebles recombination rate -***************************************************************************************************/ - -double rec_HPeebles_dxedlna(double xe, double nH, double H, double TM, double TR, double energy_rate) { - - double RLya, alphaB, four_betaB, C; - double chi_ion_H; - - RLya = 4.662899067555897e15 * H / nH / (1.-xe); - alphaB = alphaB_PPB(TM); - four_betaB = 3.016103031869581e21 *TR*sqrt(TR) *exp(-0.25*EI/TR) *alphaB; - - C = (3.*RLya + L2s1s)/(3.*RLya + L2s1s + four_betaB); - - // chi_ion_H = (1.-xe)/3.; // old approximation from Chen and Kamionkowski - if (xe < 1.) - chi_ion_H = 0.369202*pow(1.-pow(xe,0.463929),1.70237); // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 4 in Table V of Galli et al. 2013) - else - chi_ion_H = 0.; - - return (-nH*xe*xe*alphaB + four_betaB*(1.-xe)*exp(-E21/TR))*C/H - +chi_ion_H/nH*energy_rate*(1./EI+(1.-C)/E21)/H; - -} - -/**************************************************************************************************** -RecFast recombination rate (Seager et al 1999, 2000): effective three-level atom -with a fudge factor F = 1.14 -****************************************************************************************************/ - -double rec_HRecFast_dxedlna(double xe, double nH, double H, double TM, double TR, double energy_rate) { - - double RLya, alphaB, four_betaB, C; - double chi_ion_H; - - RLya = 4.662899067555897e15 * H / nH / (1.-xe); - alphaB = 1.14 * alphaB_PPB(TM); - four_betaB = 3.016103031869581e21 *TR*sqrt(TR) *exp(-0.25*EI/TR) *alphaB; - - C = (3.*RLya + L2s1s)/(3.*RLya + L2s1s + four_betaB); - - //chi_ion_H = (1.-xe)/3.; // old approximation from Chen and Kamionkowski - if (xe < 1.) - chi_ion_H = 0.369202*pow(1.-pow(xe,0.463929),1.70237); // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 4 in Table V of Galli et al. 2013) - else - chi_ion_H = 0.; - - return (-nH*xe*xe*alphaB + four_betaB*(1.-xe)*exp(-E21/TR))*C/H - +chi_ion_H/nH*energy_rate*(1./EI+(1.-C)/E21)/H; - -} - -/********************************************************************************************** -Store tabulated temperatures and read effective MLA rates from files. -**********************************************************************************************/ - -void read_rates(HRATEEFF *rate_table){ - - FILE *fA = fopen(ALPHA_FILE, "r"); - FILE *fR = fopen(RR_FILE, "r"); - - unsigned i, j, l; - int fscanf_result; - - maketab(log(TR_MIN), log(TR_MAX), NTR, rate_table->logTR_tab); - maketab(TM_TR_MIN, TM_TR_MAX, NTM, rate_table->TM_TR_tab); - rate_table->DlogTR = rate_table->logTR_tab[1] - rate_table->logTR_tab[0]; - rate_table->DTM_TR = rate_table->TM_TR_tab[1] - rate_table->TM_TR_tab[0]; - - for (i = 0; i < NTR; i++) { - for (j = 0; j < NTM; j++) { - for (l = 0; l <= 1; l++) { - fscanf_result = fscanf(fA, "%le", &(rate_table->logAlpha_tab[l][j][i])); - if(fscanf_result != 1){printf("Hyrec Warning :: Could not read log Alpha table (Alpha_inf.dat)");} - rate_table->logAlpha_tab[l][j][i] = log(rate_table->logAlpha_tab[l][j][i]); - } - } - - fscanf_result = fscanf(fR, "%le", &(rate_table->logR2p2s_tab[i])); - if(fscanf_result != 1){printf("Hyrec Warning :: Could not read rate table (R_inf.dat)");} - rate_table->logR2p2s_tab[i] = log(rate_table->logR2p2s_tab[i]); - - } - fclose(fA); - fclose(fR); -} - -/************************************************************************************************ -Interpolation of tabulated effective rates -To be more (slightly) efficient, not using the external interpolation routine. -************************************************************************************************/ - -void interpolate_rates(double Alpha[2], double Beta[2], double *R2p2s, double TR, double TM_TR, HRATEEFF *rate_table) { - double factor; - unsigned l, k; - long iTM, iTR; - double frac1, frac2; - double logTR; - double coeff1[4], coeff2[4], temp[4]; - - logTR = log(TR); - - /* Check if TM/TR is in the range tabulated */ - if (TM_TR < TM_TR_MIN || TM_TR > TM_TR_MAX) { - fprintf(stderr, "Error: TM/TR-value is out of range in interpolate_rates.\n"); - exit(1); - } - - /* Check if log(TR) is in the range tabulated */ - if (TR < TR_MIN || TR > TR_MAX) { - fprintf(stderr,"Error: TR-value is out of range in interpolate_rates.\n"); - exit(1); - } - - /* Identify location to interpolate in TM/TR */ - iTM = (long)floor((TM_TR - TM_TR_MIN)/rate_table->DTM_TR); - if (iTM < 1) iTM = 1; - if (iTM > NTM-3) iTM = NTM-3; - frac1 = (TM_TR - TM_TR_MIN)/rate_table->DTM_TR - iTM; - coeff1[0] = frac1*(frac1-1.)*(2.-frac1)/6.; - coeff1[1] = (1.+frac1)*(1.-frac1)*(2.-frac1)/2.; - coeff1[2] = (1.+frac1)*frac1*(2.-frac1)/2.; - coeff1[3] = (1.+frac1)*frac1*(frac1-1.)/6.; - - /* Identify location to interpolate in log(TR) */ - iTR = (long)floor((logTR - log(TR_MIN))/rate_table->DlogTR); - if (iTR < 1) iTR = 1; - if (iTR > NTR-3) iTR = NTR-3; - frac2 = (logTR - log(TR_MIN))/rate_table->DlogTR - iTR; - coeff2[0] = frac2*(frac2-1.)*(2.-frac2)/6.; - coeff2[1] = (1.+frac2)*(1.-frac2)*(2.-frac2)/2.; - coeff2[2] = (1.+frac2)*frac2*(2.-frac2)/2.; - coeff2[3] = (1.+frac2)*frac2*(frac2-1.)/6.; - - - for (l = 0; l <= 1; l++) { - /* effective recombination coefficient to each level */ - for (k = 0; k < 4; k++) { - temp[k] = rate_table->logAlpha_tab[l][iTM-1+k][iTR-1]*coeff2[0] - + rate_table->logAlpha_tab[l][iTM-1+k][iTR]*coeff2[1] - + rate_table->logAlpha_tab[l][iTM-1+k][iTR+1]*coeff2[2] - + rate_table->logAlpha_tab[l][iTM-1+k][iTR+2]*coeff2[3]; - } - - Alpha[l] = exp(temp[0]*coeff1[0]+temp[1]*coeff1[1] - +temp[2]*coeff1[2]+temp[3]*coeff1[3]); - - /* Alpha evaluated at Tm = Tr, for use in detailed balance */ - Beta[l] = exp(rate_table->logAlpha_tab[l][NTM-1][iTR-1]*coeff2[0] - +rate_table->logAlpha_tab[l][NTM-1][iTR]*coeff2[1] - +rate_table->logAlpha_tab[l][NTM-1][iTR+1]*coeff2[2] - +rate_table->logAlpha_tab[l][NTM-1][iTR+2]*coeff2[3]); - } - - /* Beta obtained by detailed balance */ - /* factor = pow(2.0 * M_PI * mue *TR / hPc / hPc, 1.5)) * exp(-0.25*EI/TR) */ - factor = 3.016103031869581e21 * TR*sqrt(TR) * exp(-3.399571517984581/TR); - Beta[0] *= factor; /* 2s */ - Beta[1] *= factor/3.; /* 2p */ - - /* Effective 2p->2s rate */ - *R2p2s = exp(rate_table->logR2p2s_tab[iTR-1]*coeff2[0] - +rate_table->logR2p2s_tab[iTR]*coeff2[1] - +rate_table->logR2p2s_tab[iTR+1]*coeff2[2] - +rate_table->logR2p2s_tab[iTR+2]*coeff2[3]); - -} - -/************************************************************************************************ -Solves for the populations of the 2s and 2p states in steady-state, and returns dxe/dt. -Uses standard rate for 2s-->1s decay and Sobolev for Lyman alpha (no feedback) -Inputs: xe, nH in cm^{-3}, H in s^{-1}, TM, TR in eV. Output: dxe/dlna -************************************************************************************************/ - -double rec_HMLA_dxedlna(double xe, double nH, double Hubble, double TM, double TR, double energy_rate, HRATEEFF *rate_table){ - - double Alpha[2]; - double Beta[2]; - double R2p2s; - double matrix[2][2]; - double RHS[2]; - double det, RLya; - double x2[2]; - double x1s_db; - double C_2p; - double chi_ion_H; - - interpolate_rates(Alpha, Beta, &R2p2s, TR, TM / TR, rate_table); - - x1s_db = (1.-xe)*exp(-E21/TR); - - /******** 2s *********/ - matrix[0][0] = Beta[0] + 3.*R2p2s + L2s1s; - matrix[0][1] = -R2p2s; - RHS[0] = xe*xe*nH *Alpha[0] + L2s1s *x1s_db; - - /******** 2p *********/ - RLya = 4.662899067555897e15 *Hubble /nH/(1.-xe); /*8 PI H/(3 nH x1s lambda_Lya^3) */ - - matrix[1][1] = Beta[1] + R2p2s + RLya; - matrix[1][0] = -3.*R2p2s; - RHS[1] = xe*xe*nH *Alpha[1] + 3.*RLya *x1s_db; - - /**** invert the 2 by 2 system matrix_ij * xj = RHSi *****/ - det = matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]; - x2[0] = (matrix[1][1] * RHS[0] - matrix[0][1] * RHS[1])/det; - x2[1] = (matrix[0][0] * RHS[1] - matrix[1][0] * RHS[0])/det; - - C_2p=(RLya+R2p2s*L2s1s/matrix[0][0])/(matrix[1][1]-R2p2s*3.*R2p2s/matrix[0][0]); - - //chi_ion_H = (1.-xe)/3.; // old approximation from Chen and Kamionkowski - if (xe < 1.) - chi_ion_H = 0.369202*pow(1.-pow(xe,463929),1.70237); // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 4 in Table V of Galli et al. 2013) - else - chi_ion_H = 0.; - - return (x1s_db*(L2s1s + 3.*RLya) -x2[0]*L2s1s -x2[1]*RLya)/Hubble - +chi_ion_H/nH*energy_rate*(1./EI+(1.-C_2p)/E21)/Hubble; - -} - -/********************************************************************************************* -Read two-photon rates from table -**********************************************************************************************/ - -void read_twog_params(TWO_PHOTON_PARAMS *twog){ - - FILE *fA; - unsigned b; - double L2s1s_current; - int fscanf_result; - - fA = fopen(TWOG_FILE, "r"); - - for (b = 0; b < NVIRT; b++) { - fscanf_result = 0; - fscanf_result += fscanf(fA, "%le", &(twog->Eb_tab[b])); - fscanf_result += fscanf(fA, "%le", &(twog->A1s_tab[b])); - fscanf_result += fscanf(fA, "%le", &(twog->A2s_tab[b])); - fscanf_result += fscanf(fA, "%le", &(twog->A3s3d_tab[b])); - fscanf_result += fscanf(fA, "%le", &(twog->A4s4d_tab[b])); - if(fscanf_result!=5){printf("Hyrec Warning :: Could not read Two Photon table (two_photon_tables.dat)");} - } - fclose(fA); - - /* Normalize 2s--1s differential decay rate to L2s1s (can be set by user in hydrogen.h) */ - L2s1s_current = 0.; - for (b = 0; b < NSUBLYA; b++) L2s1s_current += twog->A2s_tab[b]; - for (b = 0; b < NSUBLYA; b++) twog->A2s_tab[b] *= L2s1s/L2s1s_current; - - - /* Switches for the various effects considered in Hirata (2008) and diffusion: - Effect A: correct 2s-->1s rate, with stimulated decays and absorptions of non-thermal photons - Effect B: Sub-Lyman-alpha two-photon decays - Effect C: Super-Lyman-alpha two-photon decays - Effect D: Raman scattering */ - - #if (EFFECT_A == 0) - for (b = 0; b < NSUBLYA; b++) twog->A2s_tab[b] = 0; - #endif - #if (EFFECT_B == 0) - for (b = 0; b < NSUBLYA; b++) twog->A3s3d_tab[b] = twog->A4s4d_tab[b] = 0; - #endif - #if (EFFECT_C == 0) - for (b = NSUBLYA; b < NVIRT; b++) twog->A3s3d_tab[b] = twog->A4s4d_tab[b] = 0; - #endif - #if (EFFECT_D == 0) - for (b = NSUBLYA; b < NVIRT; b++) twog->A2s_tab[b] = 0; - for (b = NSUBLYB; b < NVIRT; b++) twog->A3s3d_tab[b] = 0; - #endif - #if (DIFFUSION == 0) - for (b = 0; b < NVIRT; b++) twog->A1s_tab[b] = 0; - #endif - -} - -/****************************************************************************************************** -Square and cube, used often -******************************************************************************************************/ - -double square(double x) { - return x*x; -} - -double cube(double x) { - return x*x*x; -} - -/******************************************************************************************************** -Compute the A_{b,b+/-1} "Einstein A-"coefficients between virtual states, due to diffusion -(In the notation of the paper, A_{b,b\pm1} = R_{b,b\pm1}) -Aup[b] = A_{b, b+1} Adn[b] = A_{b, b-1} -********************************************************************************************************/ - -void populate_Diffusion(double *Aup, double *Adn, double *A2p_up, double *A2p_dn, - double TM, double Eb_tab[NVIRT], double A1s_tab[NVIRT]) { - - unsigned b; - double DE2; - - DE2 = E21*E21*2.*TM/mH; - - /****** RED WING ******/ - b = NSUBLYA - NDIFF/2; - Aup[b] = DE2 / square(Eb_tab[b+1] - Eb_tab[b]) * A1s_tab[b]; /* A{0,1}. Assume A{0,-1} = 0 */ - - for (b = NSUBLYA - NDIFF/2 + 1; b < NSUBLYA-1; b++) { - Adn[b] = exp((Eb_tab[b] - Eb_tab[b-1])/TM) * Aup[b-1]; /* Detailed balance */ - Aup[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b] - Eb_tab[b-1]) * Adn[b]) - /square(Eb_tab[b+1] - Eb_tab[b]); /* Aup[b] , Adn[b] must add up to correct diffusion rate */ - } - /* Last bin below Lyman alpha */ - b = NSUBLYA - 1; - Adn[b] = exp((Eb_tab[b] - Eb_tab[b-1])/TM) * Aup[b-1]; - - Aup[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b] - Eb_tab[b-1]) * Adn[b]) - /square(E21 - Eb_tab[b]); - *A2p_dn = exp((E21 - Eb_tab[b])/TM)/3.* Aup[b]; /* 2p -> NSUBLYA-1 rate obtained by detailed balance */ - - - /****** BLUE WING ******/ - b = NSUBLYA + NDIFF/2 - 1; - Adn[b] = DE2 / square(Eb_tab[b] - Eb_tab[b-1]) * A1s_tab[b]; - - for (b = NSUBLYA + NDIFF/2 - 2; b > NSUBLYA; b--) { - Aup[b] = exp((Eb_tab[b] - Eb_tab[b+1])/TM) * Adn[b+1]; - Adn[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b+1] - Eb_tab[b]) * Aup[b]) - /square(Eb_tab[b] - Eb_tab[b-1]); - } - /* First bin above Lyman alpha */ - b = NSUBLYA; - Aup[b] = exp((Eb_tab[b] - Eb_tab[b+1])/TM) * Adn[b+1]; - - Adn[b] = (DE2 * A1s_tab[b] - square(Eb_tab[b+1] - Eb_tab[b]) * Aup[b]) - /square(Eb_tab[b] - E21); - *A2p_up = exp((E21 - Eb_tab[b])/TM)/3. * Adn[b]; /* 2p -> NSUBLYA rate obtained by detailed balance */ - - -} - -/********************************************************************************************************* - Populate the real-real, real-virtual, virtual-real and virtual-virtual T-matrices, - as well as the source vectors sr, sv, -WITH DIFFUSION. Tvv[0][b] is the diagonal element Tbb, Tvv[1][b] = T{b,b-1} and Tvv[2][b] = T{b,b+1} -Also, computes and stores the optical depths Delta tau_b for future use -**********************************************************************************************************/ - -void populateTS_2photon(double Trr[2][2], double *Trv[2], double *Tvr[2], double *Tvv[3], - double sr[2], double sv[NVIRT], double Dtau[NVIRT], - double xe, double TM, double TR, double nH, double H, HRATEEFF *rate_table, - TWO_PHOTON_PARAMS *twog, double fplus[NVIRT], double fplus_Ly[], - double Alpha[2], double Beta[2], double z) { - - double R2p2s; - unsigned b; - double RLya, Gammab, Pib, dbfact; - - double *Aup, *Adn; - double A2p_up, A2p_dn; - - Aup = create_1D_array(NVIRT); - Adn = create_1D_array(NVIRT); - - RLya = 4.662899067555897e15 *H /nH/(1.-xe); /*8 PI H/(3 nH x1s lambda_Lya^3) */ - - interpolate_rates(Alpha, Beta, &R2p2s, TR, TM / TR, rate_table); - - /****** 2s row and column ******/ - - Trr[0][0] = Beta[0] + 3.*R2p2s - + 3.* RLya * (1.664786871919931 *exp(-E32/TR) /* Ly-beta escape */ - + 1.953125 *exp(-E42/TR)); /* Ly-gamma escape */ - - Trr[0][1] = -R2p2s; - sr[0] = nH * Alpha[0] * xe*xe - + 3.* RLya * (1.-xe) * (1.664786871919931 *fplus_Ly[1] - + 1.953125 *exp(-E41/TR)); - - #if (EFFECT_A == 0) - /* Standard treatment of 2s-->1s two-photon decays */ - Trr[0][0] += L2s1s; - sr[0] += L2s1s * (1.-xe) * exp(-E21/TR); - #endif - - - /****** 2p row and column ******/ - - Trr[1][1] = Beta[1] + R2p2s + RLya; - Trr[1][0] = -3.*R2p2s; - sr[1] = nH * Alpha[1] * xe*xe + 3.*RLya * (1.-xe) * fplus_Ly[0]; - - - /***** Two-photon transitions: populating Trv, Tvr and updating Trr ******/ - - for (b = 0; b < NVIRT; b++) { - dbfact = exp((twog->Eb_tab[b] - E21)/TR); - - Trr[0][0] -= Tvr[0][b] = -twog->A2s_tab[b]/fabs(exp((twog->Eb_tab[b] - E21)/TR)-1.); - Trv[0][b] = Tvr[0][b] *dbfact; - - Trr[1][1] -= Tvr[1][b] = -exp(-E32/TR)/3. * twog->A3s3d_tab[b]/fabs(exp((twog->Eb_tab[b] - E31)/TR)-1.) - -exp(-E42/TR)/3. * twog->A4s4d_tab[b]/fabs(exp((twog->Eb_tab[b] - E41)/TR)-1.); - Trv[1][b] = Tvr[1][b] *3.*dbfact; - } - - /****** Tvv and sv. Accounting for DIFFUSION ******/ - - populate_Diffusion(Aup, Adn, &A2p_up, &A2p_dn, TM, twog->Eb_tab, twog->A1s_tab); - - /* Updating Tvr, Trv, Trr for diffusion between line center ("2p state") and two neighboring bins */ - - Trr[1][1] += (A2p_dn + A2p_up); - - for (b = 0; b < NVIRT; b++) { - - Gammab = -(Trv[0][b] + Trv[1][b]) + Aup[b] + Adn[b]; /* Inverse lifetime of virtual state b */ - - /*** Diffusion region ***/ - if ( (b >= NSUBLYA - NDIFF/2 && b < NSUBLYA - 1) - ||(b > NSUBLYA && b < NSUBLYA + NDIFF/2)) { - Tvv[1][b] = -Aup[b-1]; - Tvv[2][b] = -Adn[b+1]; - } - /* Bins neighboring Lyman alpha. */ - if (b == NSUBLYA-1) { - Tvv[1][b] = -Aup[b-1]; - Tvv[2][b] = 0.; - Tvr[1][b] -= A2p_dn; - Trv[1][b] -= Aup[b]; - } - if (b == NSUBLYA) { - Tvv[1][b] = 0.; - Tvv[2][b] = -Adn[b+1]; - Tvr[1][b] -= A2p_up; - Trv[1][b] -= Adn[b]; - } - /*********************/ - - Dtau[b] = Gammab * (1.-xe) * cube(hPc/twog->Eb_tab[b]) * nH /8. /M_PI /H; - - if (Dtau[b] > 1e-30) { - Pib = (1.-exp(-Dtau[b]))/Dtau[b]; - Tvv[0][b] = Gammab/(1.-Pib); - sv[b] = Tvv[0][b] * (1.-xe) * fplus[b] * Pib; - } - else { /* Nearly vanishing optical depth: free streaming */ - Tvv[0][b] = 1.; - Trv[0][b] = Trv[1][b] = Tvr[0][b] = Tvr[1][b] = 0; - sv[b] = (1.-xe) * fplus[b]; - } - } - - free(Aup); - free(Adn); -} - -/********************************************************************* -Solves the linear system T*X = B, where T is a DIAGONALLY DOMINANT -tridiagonal matrix, and X and B are both one-column vectors of N elements. -diag[i] = T_{ii}, updiag[i] = T_{i,i+1}, dndiag[i] = T_{i,i-1} -IMPORTANT: This is NOT THE MOST GENERAL ALGORITHM. Only adapted for the -case we will consider, i.e. |T_{ii}| > |T_{i,i+1}| + |T_{i,i-1}|. -**********************************************************************/ - -void solveTXeqB(double *diag, double *updiag, double *dndiag, - double *X, double *B, unsigned N){ - int i; - double denom; - double *alpha = create_1D_array(N); - double *gamma = create_1D_array(N); /* X[i] = gamma[i] - alpha[i] * X[i+1] */ - - alpha[0] = updiag[0] / diag[0]; - gamma[0] = B[0] / diag[0]; - - for (i = 1; i < N; i++) { - denom = diag[i] - dndiag[i] * alpha[i-1]; - alpha[i] = updiag[i] / denom; - gamma[i] = (B[i] - dndiag[i] * gamma[i-1]) / denom; - } - - X[N-1] = gamma[N-1]; - for (i = N-2; i >= 0; i--) X[i] = gamma[i] - alpha[i] * X[i+1]; - - free(alpha); - free(gamma); -} - -/************************************************************************************************************** -Solves for the populations of the real (2s, 2p) and virtual states -***************************************************************************************************************/ - -void solve_real_virt(double xr[2], double xv[NVIRT], double Trr[2][2], double *Trv[2], double *Tvr[2], - double *Tvv[3], double sr[2], double sv[NVIRT]){ - - double *Tvv_inv_Tvr[2]; - double *Tvv_inv_sv; - double Trr_new[2][2]; - double sr_new[2]; - unsigned i, j, b; - double det; - - unsigned NSUBDIFF; - NSUBDIFF = NSUBLYA - NDIFF/2; /* lowest bin of the diffusion region */ - - /** Allocate memory **/ - for (i = 0; i < 2; i++) Tvv_inv_Tvr[i] = create_1D_array(NVIRT); - Tvv_inv_sv = create_1D_array(NVIRT); - - - /*** Computing Tvv^{-1}.Tvr ***/ - - for (i = 0; i < 2; i++) { - for (b = 0; b < NSUBDIFF; b++) Tvv_inv_Tvr[i][b] = Tvr[i][b]/Tvv[0][b]; - for (b = NSUBLYA + NDIFF/2; b < NVIRT; b++) Tvv_inv_Tvr[i][b] = Tvr[i][b]/Tvv[0][b]; - solveTXeqB(Tvv[0]+NSUBDIFF, Tvv[2]+NSUBDIFF, Tvv[1]+NSUBDIFF, Tvv_inv_Tvr[i]+NSUBDIFF, Tvr[i]+NSUBDIFF, NDIFF); - } - - /*** Trr_new = Trr - Trv.Tvv^{-1}.Tvr ***/ - for (i = 0; i < 2; i++) for (j = 0; j < 2; j++) { - Trr_new[i][j] = Trr[i][j]; - for (b = 0; b < NVIRT; b++) Trr_new[i][j] -= Trv[i][b]*Tvv_inv_Tvr[j][b]; - } - - /*** Computing Tvv^{-1}.sv ***/ - for (b = 0; b < NSUBDIFF; b++) Tvv_inv_sv[b] = sv[b]/Tvv[0][b]; - for (b = NSUBLYA + NDIFF/2; b < NVIRT; b++) Tvv_inv_sv[b] = sv[b]/Tvv[0][b]; - solveTXeqB(Tvv[0]+NSUBDIFF, Tvv[2]+NSUBDIFF, Tvv[1]+NSUBDIFF, Tvv_inv_sv+NSUBDIFF, sv+NSUBDIFF, NDIFF); - - /*** sr_new = sr - Trv.Tvv^{-1}sv ***/ - for (i = 0; i < 2; i++) { - sr_new[i] = sr[i]; - for (b = 0; b < NVIRT; b++) sr_new[i] -= Trv[i][b]*Tvv_inv_sv[b]; - } - - /*** Solve 2 by 2 system Trr_new.xr = sr_new ***/ - det = Trr_new[0][0] * Trr_new[1][1] - Trr_new[0][1] * Trr_new[1][0]; - xr[0] = (Trr_new[1][1] * sr_new[0] - Trr_new[0][1] * sr_new[1])/det; - xr[1] = (Trr_new[0][0] * sr_new[1] - Trr_new[1][0] * sr_new[0])/det; - - /*** xv = Tvv^{-1}(sv - Tvr.xr) ***/ - for (b = 0; b < NVIRT; b++) xv[b] = Tvv_inv_sv[b] - Tvv_inv_Tvr[0][b]*xr[0] - Tvv_inv_Tvr[1][b]*xr[1]; - - - /** Free memory **/ - for (i = 0; i < 2; i++) free(Tvv_inv_Tvr[i]); - free(Tvv_inv_sv); - - -} - -/************************************************************************************************************* -Obtain fplus at each bin, given the history of fminus (simple free-streaming). iz is the current time step. -fminus[0..iz-1] is known. -Assume the Lyman lines are optically thick -logfminus_hist is a NVIRT by nz array of previous log(f(nu_b - epsilon)(z)) -logfminus_Ly_hist is a 3 by nz array of previous log(f(nu - epsilon)) redward of Ly alpha, beta and gamma lines -*************************************************************************************************************/ - -void fplus_from_fminus(double fplus[NVIRT], double fplus_Ly[], double **logfminus_hist, double *logfminus_Ly_hist[], - double TR, double zstart, double dlna, unsigned iz, double z, double Eb_tab[NVIRT]) -{ - unsigned b; - double ainv, lna_start, zp1; - - zp1 = 1.+z; - lna_start = -log(1.+zstart); - - /*** Bins below Lyman alpha ***/ - for (b = 0; b < NSUBLYA-1; b++) { - ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_hist[b+1], iz, -log(ainv))); - } - - /*** highest bin below Ly-alpha: feedback from optically thick Ly-alpha ***/ - b = NSUBLYA-1; - ainv = zp1*E21/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_Ly_hist[0], iz, -log(ainv))); - - /*** incoming photon occupation number at Lyman alpha ***/ - b = NSUBLYA; /* next highest bin */ - ainv = zp1*Eb_tab[b]/E21; - fplus_Ly[0] = exp(rec_interp1d(lna_start, dlna, logfminus_hist[b], iz, -log(ainv))); - - /*** Bins between Lyman alpha and beta ***/ - for (b = NSUBLYA; b < NSUBLYB-1; b++) { - ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_hist[b+1], iz, -log(ainv))); - } - - /*** highest bin below Ly-beta: feedback from Ly-beta ***/ - b = NSUBLYB-1; - ainv = zp1*E31/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_Ly_hist[1], iz, -log(ainv))); - - /*** incoming photon occupation number at Lyman beta ***/ - b = NSUBLYB; /* next highest bin */ - ainv = zp1*Eb_tab[b]/E31; - fplus_Ly[1] = exp(rec_interp1d(lna_start, dlna, logfminus_hist[b], iz, -log(ainv))); - - - /*** Bins between Lyman beta and gamma ***/ - for (b = NSUBLYB; b < NVIRT-1; b++) { - ainv = zp1*Eb_tab[b+1]/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_hist[b+1], iz, -log(ainv))); - } - - /*** highest energy bin: feedback from Ly-gamma ***/ - b = NVIRT-1; - ainv = zp1*E41/Eb_tab[b]; - fplus[b] = exp(rec_interp1d(lna_start, dlna, logfminus_Ly_hist[2], iz, -log(ainv))); - -} - -/****************************************************************************************************************** -d(x_e)/dt when including two-photon processes -This is independent of whether diffusion is present or not. -fminus[0..iz-1] is known. Update fminus[iz] -******************************************************************************************************************/ - -double rec_HMLA_2photon_dxedlna(double xe, double nH, double H, double TM, double TR, - HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, double **logfminus_hist, double *logfminus_Ly_hist[], - unsigned iz, double z, double energy_rate){ - - double xr[2]; - double xv[NVIRT]; - double xedot, Pib, feq; - double fplus[NVIRT], fplus_Ly[3]; - unsigned b, i; - - double Trr[2][2]; - double matrix[2][2]; - double *Trv[2]; - double *Tvr[2]; - double *Tvv[3]; - double sr[2]; - double sv[NVIRT]; - double Dtau[NVIRT]; - double Alpha[2], Beta[2]; - - double RLya; - double R2p2s; - double C_2p; - - double chi_ion_H; - - for (i = 0; i < 2; i++) Trv[i] = create_1D_array(NVIRT); - for (i = 0; i < 2; i++) Tvr[i] = create_1D_array(NVIRT); - for (i = 0; i < 3; i++) Tvv[i] = create_1D_array(NVIRT); - - /* Redshift photon occupation number from previous times and higher energy bins */ - fplus_from_fminus(fplus, fplus_Ly, logfminus_hist, logfminus_Ly_hist, TR, - zstart, dlna, iz, z, twog->Eb_tab); - - /* Compute real-real, real-virtual and virtual-virtual transition rates */ - populateTS_2photon(Trr, Trv, Tvr, Tvv, sr, sv, Dtau, xe, TM, TR, nH, H, rate_table, - twog, fplus, fplus_Ly, Alpha, Beta, z); - - /* Solve for the population of the real and virtual states */ - solve_real_virt(xr, xv, Trr, Trv, Tvr, Tvv, sr, sv); - - - /*************************************************************/ - - /* Dark matter annihilation*/ - RLya = 4.662899067555897e15 *H /nH/(1.-xe); /*8 PI H/(3 nH x1s lambda_Lya^3) */ - - interpolate_rates(Alpha, Beta, &R2p2s, TR, TM / TR, rate_table); - - matrix[0][0] = Beta[0] + 3.*R2p2s + L2s1s; - matrix[1][1] = Beta[1] + R2p2s + RLya; - - C_2p=(RLya+R2p2s*L2s1s/matrix[0][0])/(matrix[1][1]-R2p2s*3.*R2p2s/matrix[0][0]); - - - /*************************************************************/ - - //chi_ion_H = (1.-xe)/3.; // old approximation from Chen and Kamionkowski - if (xe < 1.) - chi_ion_H = 0.369202*pow(1.-pow(xe,0.463929),1.70237); // coefficient as revised by Galli et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 4 in Table V of Galli et al. 2013) - else - chi_ion_H = 0.; - - /* Obtain xe_dot */ - xedot = -nH*xe*xe*(Alpha[0]+Alpha[1]) + xr[0]*Beta[0] + xr[1]*Beta[1] - +chi_ion_H/nH*energy_rate*(1./EI+(1.-C_2p)/E21); - - - /* Update fminuses */ - - for (b = 0; b < NVIRT; b++) { - if (Dtau[b] != 0) { - Pib = (1.-exp(-Dtau[b]))/Dtau[b]; - feq = -xr[0]*Tvr[0][b] - xr[1]*Tvr[1][b]; - feq -= (b == 0 ? xv[1]*Tvv[2][0]: - b == NVIRT-1 ? xv[NVIRT-2]*Tvv[1][NVIRT-1]: - xv[b+1]*Tvv[2][b] + xv[b-1]*Tvv[1][b]); - feq /= (1.-xe)*(1.-Pib)*Tvv[0][b]; - - logfminus_hist[b][iz] = log(fplus[b] + (feq - fplus[b])*(1.-exp(-Dtau[b]))); - } - else logfminus_hist[b][iz] = log(fplus[b]); - } - - /* log(xnp/(3 x1s)) , n = 2, 3, 4, assuming 3p and 4p in Boltzmann eq. with 2s */ - logfminus_Ly_hist[0][iz] = log(xr[1]/3./(1.-xe)); - logfminus_Ly_hist[1][iz] = log(xr[0]/(1.-xe)) - E32/TR; - logfminus_Ly_hist[2][iz] = log(xr[0]/(1.-xe)) - E42/TR; - - - for (i = 0; i < 2; i++) free(Trv[i]); - for (i = 0; i < 2; i++) free(Tvr[i]); - for (i = 0; i < 3; i++) free(Tvv[i]); - - return xedot/H; -} - -/****************************************************************************************** -Post-Saha expansion using the full derivative with two-photon processes and diffusion -ADDED JANUARY 2011 -*******************************************************************************************/ - -double xe_PostSahaH(double nH, double H, double T, HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, double **logfminus_hist, double *logfminus_Ly_hist[], - unsigned iz, double z, double *Dxe, int model, double energy_rate){ - - double s, xeSaha, dxeSaha_dlna, Ddxedlna_Dxe; - - s = 3.016103031869581e21 *T*sqrt(T) *exp(-EI/T)/nH; /* xe^2/(1-xe) in Saha eq.*/ - xeSaha = 2./(1.+sqrt(1.+4./s)); /* Saha equilibrium */ - dxeSaha_dlna = -(EI/T - 1.5)/(2.*xeSaha + s)*xeSaha*xeSaha; /* Analytic derivative of above expression */ - - if (model == 0) { /* Peebles model */ - Ddxedlna_Dxe = (rec_HPeebles_dxedlna(xeSaha+0.01*(1.-xeSaha), nH, H, T, T, energy_rate) - - rec_HPeebles_dxedlna(xeSaha-0.01*(1.-xeSaha), nH, H, T, T, energy_rate))/0.02/(1.-xeSaha); - } - else if (model == 1) { /* "Recfast" model */ - Ddxedlna_Dxe = (rec_HRecFast_dxedlna(xeSaha+0.01*(1.-xeSaha), nH, H, T, T, energy_rate) - - rec_HRecFast_dxedlna(xeSaha-0.01*(1.-xeSaha), nH, H, T, T, energy_rate))/0.02/(1.-xeSaha); - } - else if (model == 2) { /* EMLA model with 2s and 2p decays only, no radiative transfer */ - Ddxedlna_Dxe = (rec_HMLA_dxedlna(xeSaha+0.01*(1.-xeSaha), nH, H, T, T, energy_rate, rate_table) - - rec_HMLA_dxedlna(xeSaha-0.01*(1.-xeSaha), nH, H, T, T, energy_rate, rate_table))/0.02/(1.-xeSaha); - } - else { /* Default mode, with radiative transfer */ - Ddxedlna_Dxe = (rec_HMLA_2photon_dxedlna(xeSaha+0.01*(1.-xeSaha),nH, H, T, T, - rate_table, twog, zstart, dlna, logfminus_hist, logfminus_Ly_hist, iz, z, energy_rate) - - rec_HMLA_2photon_dxedlna(xeSaha-0.01*(1.-xeSaha), nH, H, T, T, - rate_table, twog, zstart, dlna, logfminus_hist, logfminus_Ly_hist, iz, z, energy_rate))/0.02/(1.-xeSaha); - } - - *Dxe = dxeSaha_dlna/Ddxedlna_Dxe; - - /* Compute derivative again just so the fminuses are properly updated */ - //dxedlna = rec_HMLA_2photon_dxedlna(xeSaha + *Dxe, nH, H, T, T,rate_table, twog, zstart, dlna, logfminus_hist, logfminus_Ly_hist, iz, z, energy_rate); - - return xeSaha + *Dxe; - -} - -/***************************************************************************************************** -Update fminus(z) given the history of previous fminus's, assuming: -- thermal radiation field and Boltzmann equilibrium for the excited states if func_select = 0 -- excited states are in Saha eq. with xe, and free-streaming for the radiation field between - optically thick Lyman lines if func_select = 1 -*****************************************************************************************************/ - -void update_fminus_Saha(double **logfminus_hist, double *logfminus_Ly_hist[], - double xe, double TR, double nH, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, unsigned iz, double z, int func_select){ - - double fplus[NVIRT]; - double fplus_Ly[2]; - unsigned b; - double common_fact; - - if (func_select == 0) { - for (b = 0; b < NVIRT; b++) logfminus_hist[b][iz] = -twog->Eb_tab[b]/TR; - logfminus_Ly_hist[0][iz] = -E21/TR; - logfminus_Ly_hist[1][iz] = -E31/TR; - logfminus_Ly_hist[2][iz] = -E41/TR; - } - else { - fplus_from_fminus(fplus, fplus_Ly, logfminus_hist, logfminus_Ly_hist, TR, - zstart, dlna, iz, z, twog->Eb_tab); - - for (b = 0; b < NVIRT; b++) logfminus_hist[b][iz] = log(fplus[b]); /* free streaming */ - - common_fact = log(nH*xe*xe/(1.-xe)/(3.016103031869581e21 *TR*sqrt(TR))); - logfminus_Ly_hist[0][iz] = common_fact + EI/4./TR; /* Saha equilibrium with the continuum */ - logfminus_Ly_hist[1][iz] = common_fact + EI/9./TR; - logfminus_Ly_hist[2][iz] = common_fact + EI/16./TR; - } -} - -/***********************************************************************************************************/ diff --git a/hyrec/hydrogen.h b/hyrec/hydrogen.h deleted file mode 100644 index 948c36e7..00000000 --- a/hyrec/hydrogen.h +++ /dev/null @@ -1,116 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* hydrogen.h: all functions related to Hydrogen recombination */ -/* */ -/* Units used: cgs + eV (all temperatures in eV) */ -/* Version: Januray 2011 (updated value of 2s--1s decay rate, */ -/* changed temperature range for effective rates) */ -/*************************************************************************************************/ - -/****** CONSTANTS IN CGS + EV UNIT SYSTEM *******/ - -#define EI 13.598286071938324 /* Hydrogen ionization energy in eV, reduced mass, no relativistic corrections */ - -/* Energy differences between excited levels of hydrogen -- used often */ -#define E21 10.198714553953742 -#define E31 12.087365397278509 -#define E41 12.748393192442178 -#define E32 1.8886508433247664 -#define E42 2.5496786384884356 - -#define hPc 1.239841874331e-04 /* hc in eV cm */ -#define mH 0.93878299831e9 /* Hydrogen atom mass in eV/c^2 */ -#define kBoltz 8.617343e-5 /* Boltzmann constant in eV/K */ -#define L2s1s 8.2206 /* 2s -> 1s two-photon decay rate in s^{-1} (Labzowsky et al 2005) */ - - - -double square(double x); -double cube(double x); - - -/*********** PEEBLES + POST-SAHA + RECFAST ***************/ - -double alphaB_PPB(double TM); -double rec_HPeebles_dxedlna(double xe, double nH, double H, double TM, double TR, double energy_rate); -double rec_HRecFast_dxedlna(double xe, double nH, double H, double TM, double TR, double energy_rate); - -/************* EFFECTIVE MULTI LEVEL ATOM *******************/ - -#define ALPHA_FILE "Alpha_inf.dat" /* Contains the effective recombination coefficients to 2s and 2p */ -#define RR_FILE "R_inf.dat" /* Contains the effective transfer rate R_{2p,2s} */ - - -/* Boundaries and number of elements of temperature tables */ -#define TR_MIN 0.004 /* Tr parameters */ -#define TR_MAX 0.4 -#define NTR 100 -#define TM_TR_MIN 0.1 /* Tm/Tr parameters */ -#define TM_TR_MAX 1.0 -#define NTM 40 - -/* Effective rate coefficients structure */ -typedef struct { - double *logTR_tab; - double *TM_TR_tab; - double **logAlpha_tab[2]; - double *logR2p2s_tab; - double DlogTR, DTM_TR; -} -HRATEEFF; - -void read_rates(HRATEEFF *rate_table); -void interpolate_rates(double Alpha[2], double Beta[2], double *R2p2s, double TR, double TM_TR, HRATEEFF *rate_table); -double rec_HMLA_dxedlna(double xe, double nH, double Hubble, double TM, double TR, double energy_rate, HRATEEFF *rate_table); - -/************ TWO-PHOTON PROCESSES AND DIFFUSION ************/ - -#define EFFECT_A 1 /* 2s-->1s stimulated two-photon decays and non-thermal absorptions */ -#define EFFECT_B 1 /* Sub-Lyman alpha two-photon transitions 3s/3d<--> 1s and 4s/4d<-->1s */ -#define EFFECT_C 1 /* Super-Lyman alpha two-photon transitions 3s/3d<--> 1s and 4s/4d<-->1s */ -#define EFFECT_D 1 /* Raman scattering from 2s and 3s/3d */ -#define DIFFUSION 1 /* Lyman alpha frequency diffusion */ - - -#define NSUBLYA 140 -#define NSUBLYB 271 -#define NVIRT 311 -#define NDIFF 80 -#define TWOG_FILE "two_photon_tables.dat" -/* maximum dlna = 8.5e-5 */ - - - -typedef struct { - double Eb_tab[NVIRT]; /* Energies of the virtual levels in eV */ - double A1s_tab[NVIRT]; /* 3*A2p1s*phi(E)*DE */ - double A2s_tab[NVIRT]; /* dLambda_2s/dE * DeltaE if E < Elya dK2s/dE * Delta E if E > Elya */ - double A3s3d_tab[NVIRT]; /* (dLambda_3s/dE + 5*dLambda_3d/dE) * Delta E for E < ELyb, Raman scattering rate for E > ELyb */ - double A4s4d_tab[NVIRT]; /* (dLambda_4s/dE + 5*dLambda_4d/dE) * Delta E */ -} TWO_PHOTON_PARAMS; - -void read_twog_params(TWO_PHOTON_PARAMS *twog); -void populate_Diffusion(double *Aup, double *Adn, double *A2p_up, double *A2p_dn, - double TM, double Eb_tab[NVIRT], double A1s_tab[NVIRT]); -void populateTS_2photon(double Trr[2][2], double *Trv[2], double *Tvr[2], double *Tvv[3], - double sr[2], double sv[NVIRT], double Dtau[NVIRT], - double xe, double TM, double TR, double nH, double H, HRATEEFF *rate_table, - TWO_PHOTON_PARAMS *twog, double fplus[NVIRT], double fplus_Ly[], - double Alpha[], double Beta[], double z); -void solveTXeqB(double *diag, double *updiag, double *dndiag, double *X, double *B, unsigned N); -void solve_real_virt(double xr[2], double xv[NVIRT], double Trr[2][2], double *Trv[2], double *Tvr[2], - double *Tvv[3], double sr[2], double sv[NVIRT]); -void fplus_from_fminus(double fplus[NVIRT], double fplus_Ly[], double **logfminus_hist, double *logfminus_Ly_hist[], - double TR, double zstart, double dlna, unsigned iz, double z, double Eb_tab[NVIRT]); -double rec_HMLA_2photon_dxedlna(double xe, double nH, double H, double TM, double TR, - HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, double **logfminus_hist, double *logfminus_Ly_hist[], unsigned iz, double z, - double energy_rate); -double xe_PostSahaH(double nH, double H, double T, HRATEEFF *rate_table, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, double **logfminus_hist, double *logfminus_Ly_hist[], - unsigned iz, double z, double *Dxe, int model, double energy_rate); -void update_fminus_Saha(double **logfminus_hist, double *logfminus_Ly_hist[], - double xe, double TR, double nH, TWO_PHOTON_PARAMS *twog, - double zstart, double dlna, unsigned iz, double z, int func_select); diff --git a/hyrec/hyrec.c b/hyrec/hyrec.c deleted file mode 100644 index 4cf3e3fd..00000000 --- a/hyrec/hyrec.c +++ /dev/null @@ -1,76 +0,0 @@ -/*************************************************************************************************/ -/* HYREC: Hydrogen and Helium Recombination Code */ -/* Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) */ -/* */ -/* hyrec.c: main module */ -/* */ -/* Version: November 2011 */ -/* Revision history: */ -/* - written November 2010 */ -/* - January 2011: changed various switches (notably for post-Saha expansions) */ -/* so that they remain valid for arbitrary cosmologies */ -/* - November 2011: extended integration down to z = 0 with Peeble's model for z < 20 */ -/* changed dTm/dlna so it can be used at all times */ -/*************************************************************************************************/ - -#include -#include -#include -#include - -#include "hyrec.h" - -int main(void) { - - REC_COSMOPARAMS param; - HRATEEFF rate_table; - TWO_PHOTON_PARAMS twog_params; - double *xe_output, *Tm_output; - long iz; - - double dz = -1; - unsigned nz = 8001; - double z, xe, Tm; - - - /* Build effective rate table */ - rate_table.logTR_tab = create_1D_array(NTR); - rate_table.TM_TR_tab = create_1D_array(NTM); - rate_table.logAlpha_tab[0] = create_2D_array(NTM, NTR); - rate_table.logAlpha_tab[1] = create_2D_array(NTM, NTR); - rate_table.logR2p2s_tab = create_1D_array(NTR); - read_rates(&rate_table); - - /* Read two-photon rate tables */ - read_twog_params(&twog_params); - - - /* Get cosmological parameters */ - rec_get_cosmoparam(stdin, stderr, ¶m); - - /* Compute the recombination history */ - xe_output = (double*)malloc((size_t)(param.nz*sizeof(double))); - Tm_output = (double*)malloc((size_t)(param.nz*sizeof(double))); - - rec_build_history(¶m, &rate_table, &twog_params, xe_output, Tm_output); - - /* Interpolate at the desired output redshifts */ - for(iz=0; iz -#include -#include - -#include "hyrectools.h" - -/************************************************************************** -Creates a [n1] array. -***************************************************************************/ - -double *create_1D_array(unsigned n1){ - - double *matrix = (double *) calloc(n1, sizeof(double)); - if (matrix == NULL) { - fprintf(stderr, "memory issue in create_1D_array\n"); - exit(1); - } - return matrix; -} - -/************************************************************************** -Creates a [n1][n2] array. -***************************************************************************/ - -double **create_2D_array(unsigned n1, unsigned n2){ - - unsigned i; - double **matrix = (double **) calloc(n1, sizeof(double *)); - if (matrix == NULL){ - fprintf(stderr, "memory issue in create_2D_array\n"); - exit(1); - } - for (i = 0; i < n1; i++) matrix[i] = create_1D_array(n2); - - return matrix; -} - -/******************************************************************************* -Frees the memory of a [n1][] array. -********************************************************************************/ - -void free_2D_array(double **matrix, unsigned n1){ - - unsigned i; - for (i = 0; i < n1; i++) free(matrix[i]); - - free(matrix); -} - -/********************************************************************************* -Creates a [n1][n2][n3] matrix. -**********************************************************************************/ - -double ***create_3D_array(unsigned n1, unsigned n2, unsigned n3){ - - unsigned i; - double ***matrix = (double ***) calloc(n1, sizeof(double **)); - if (matrix == NULL) { - fprintf(stderr, "memory issue in create_3D_array\n"); - exit(1); - } - for (i = 0; i < n1; i++) matrix[i] = create_2D_array(n2, n3); - - return matrix; -} - -/*********************************************************************************** -Frees memory of a [n1][n2][] matrix -***********************************************************************************/ - -void free_3D_array(double ***matrix, unsigned n1, unsigned n2) { - unsigned i; - for (i = 0; i < n1; i++) free_2D_array(matrix[i], n2); - - free(matrix); -} - -/******************************************************************************************** -Making an evenly spaced array. -Input: xmin, xmax, Nx, xtab. -xtab is changed, s.t. xtab[0] = xmin, xtab[Nx-1] = xmax, evenly spaced. -ATTENTION: there will be Nx points, and Nx-1 intervals. -**********************************************************************************************/ - -void maketab(double xmin, double xmax, unsigned Nx, double *xtab){ - unsigned i; - double h = (xmax - xmin)/(Nx - 1.0); - - for (i = 0; i < Nx; i++) xtab[i] = xmin + i * h; -} - -/************************************************************************************ - Interpolation routine for 1-D table. Uses cubic interpolation assuming - uniformly spaced x-values, x0 ... x0+(Nx-1)*dx. -*************************************************************************************/ - -double rec_interp1d(double x0, double dx, double *ytab, unsigned int Nx, double x) { - - long ix; - double frac; - - /* Check if in range */ - if (dx > 0 && (xx0+dx*(Nx-1))) { - fprintf(stderr, "Error: rec_interp1d: x-value out of range in interpolation routine.\n"); - exit(1); - } - if (dx < 0 && (x>x0 || xNx-3) ix=Nx-3; - frac = (x-x0)/dx-ix; - ytab += ix-1; - - /* Return value */ - return( - -ytab[0]*frac*(1.-frac)*(2.-frac)/6. - +ytab[1]*(1.+frac)*(1.-frac)*(2.-frac)/2. - +ytab[2]*(1.+frac)*frac*(2.-frac)/2. - +ytab[3]*(1.+frac)*frac*(frac-1.)/6. - ); -} - -/************************************************************************************ - Interpolation routine for 2-D table. Uses bicubic interpolation assuming - uniformly spaced x1 and x2-values. -*************************************************************************************/ - -double rec_interp2d(double x10, double dx1, double x20, double dx2, double **ytab, - unsigned int Nx1, unsigned int Nx2, double x1, double x2) { - - int j; - long ix1; - double frac1; - double temp[4]; - - /* Check if in range in x1 */ - if (x1x10+dx1*(Nx1-1)) { - fprintf(stderr, "Error: rec_interp2d: x1-value out of range in interpolation routine.\n"); - exit(1); - } - - /* Identify location to interpolate in x1 */ - ix1 = (long)floor((x1-x10)/dx1); - if (ix1<1) ix1=1; - if (ix1>Nx1-3) ix1=Nx1-3; - frac1 = (x1-x10)/dx1-ix1; - ytab += ix1-1; - - /* Get values interpolated over x2 at the 4 neighboring points in x1 */ - for(j=0;j<4;j++) temp[j] = rec_interp1d(x20,dx2,ytab[j],Nx2,x2); - - return( - -temp[0]*frac1*(1.-frac1)*(2.-frac1)/6. - +temp[1]*(1.+frac1)*(1.-frac1)*(2.-frac1)/2. - +temp[2]*(1.+frac1)*frac1*(2.-frac1)/2. - +temp[3]*(1.+frac1)*frac1*(frac1-1.)/6. - ); -} - -/*********************************************************************************************/ diff --git a/hyrec/hyrectools.h b/hyrec/hyrectools.h deleted file mode 100644 index 7616d7b4..00000000 --- a/hyrec/hyrectools.h +++ /dev/null @@ -1,15 +0,0 @@ -/*************************** HYRECTOOLS.H ******************************** -Multidimensional array creation and freeing functions. -Also, function to make linear arrays and interpolation routines. -Version: January 2011 (identical to November 2010) -**************************************************************************/ - -double *create_1D_array(unsigned n1); -double **create_2D_array(unsigned n1, unsigned n2); -void free_2D_array(double **matrix, unsigned n1); -double ***create_3D_array(unsigned n1, unsigned n2, unsigned n3); -void free_3D_array(double ***matrix, unsigned n1, unsigned n2); -void maketab(double xmin, double xmax, unsigned Nx, double *xtab); -double rec_interp1d(double x0, double dx, double *ytab, unsigned int Nx, double x); -double rec_interp2d(double x10, double dx1, double x20, double dx2, double **ytab, - unsigned int Nx1, unsigned int Nx2, double x1, double x2); diff --git a/hyrec/input.dat b/hyrec/input.dat deleted file mode 100644 index e739d0b6..00000000 --- a/hyrec/input.dat +++ /dev/null @@ -1,8 +0,0 @@ -2.728 -.021976 -.13 -0 -.343 --1 0 -.24 -3.04 diff --git a/include/arrays.h b/include/arrays.h old mode 100755 new mode 100644 index 553214c1..7f518684 --- a/include/arrays.h +++ b/include/arrays.h @@ -9,6 +9,7 @@ #define _SPLINE_NATURAL_ 0 /**< natural spline: ddy0=ddyn=0 */ #define _SPLINE_EST_DERIV_ 1 /**< spline with estimation of first derivative on both edges */ +#define array_spline_eval(y,ddy,inf,sup,h,a,b) ((a)*(y)[inf]+(b)*(y)[sup] + (((a)*(a)*(a)-(a))* (ddy)[inf] + ((b)*(b)*(b)-(b))* (ddy)[sup])*(h)*(h)/6.) /** * Boilerplate for C++ @@ -124,19 +125,19 @@ extern "C" { short spline_mode, ErrorMsg errmsg ); - + int array_derivate_spline( - double * x_array, - int n_lines, - double * array, - double * array_splined, - int n_columns, - double x, - int * last_index, - double * result, - int result_size, /** from 1 to n_columns */ - ErrorMsg errmsg - ); + double * x_array, + int n_lines, + double * array, + double * array_splined, + int n_columns, + double x, + int * last_index, + double * result, + int result_size, /** from 1 to n_columns */ + ErrorMsg errmsg + ); int array_logspline_table_lines( double * x, @@ -184,6 +185,16 @@ extern "C" { ErrorMsg errmsg ); +int array_integrate_all_spline_table_line_to_line( + double * x_array, + int n_lines, + double * array, + int n_columns, + int index_y, + int index_ddy, + double * result, + ErrorMsg errmsg); + int array_integrate_all_trapzd_or_spline( double * array, int n_columns, @@ -255,6 +266,13 @@ int array_integrate_all_trapzd_or_spline( int result_size, /** from 1 to n_columns */ ErrorMsg errmsg); + int array_search_bisect( + int n_lines, + double * __restrict__ array, + double c, + int * __restrict__ last_index, + ErrorMsg errmsg); + int array_interpolate_linear( double * x_array, int n_lines, @@ -266,6 +284,17 @@ int array_integrate_all_trapzd_or_spline( int result_size, /** from 1 to n_columns */ ErrorMsg errmsg); + int array_interpolate_spline_transposed(double * array, + int x_size, + int y_size, + int index_x, + int index_y, + int index_ddy, + double x, + int * last_index, + double * result, + ErrorMsg errmsg); + int array_interpolate_growing_closeby( double * array, int n_columns, @@ -312,6 +341,15 @@ int array_integrate_all_trapzd_or_spline( int result_size, /** from 1 to n_columns */ ErrorMsg errmsg); + int array_spline_hunt(double* x_array, + int x_size, + double x, + int* last, + double* h, + double* a, + double* b, + ErrorMsg errmsg); + int array_interpolate_two( double * array_x, int n_columns_x, @@ -447,6 +485,35 @@ int array_integrate_all_trapzd_or_spline( double * __restrict__ I, ErrorMsg errmsg); + int array_extrapolate_quadratic(double* x, + double* y, + double xnew, + int x_size, + double* ynew, + double* dynew, + ErrorMsg errmsg); + + int simpson_integration( + int nptz, + double* int_f, + double h, + double * F, + ErrorMsg errmsg); + + int array_hunt_descending( + double * array, + int size, + double value, + int * index, + ErrorMsg errmsg); + + int array_hunt_ascending( + double * array, + int size, + double value, + int * index, + ErrorMsg errmsg); + #ifdef __cplusplus } #endif diff --git a/include/background.h b/include/background.h old mode 100755 new mode 100644 index 72e4ad52..1280d4d3 --- a/include/background.h +++ b/include/background.h @@ -9,11 +9,18 @@ #include "arrays.h" #include "dei_rkck.h" #include "parser.h" -#include "rootfinder.h" /** list of possible types of spatial curvature */ enum spatial_curvature {flat,open,closed}; + +/** list of possible parametrisations of the DE equation of state */ + +enum equation_of_state {CLP,EDE}; + + +/** list of possible theories and models (_smg) */ + enum gravity_model {propto_omega, propto_scale, constant_alphas, eft_alphas_power_law, eft_gammas_power_law, eft_gammas_exponential, @@ -21,18 +28,29 @@ enum gravity_model {propto_omega, propto_scale, brans_dicke, quintessence_monomial, quintessence_tracker, alpha_attractor_canonical -}; //write here the different models +}; -// enum gravity_model_subclass {quint_exp, cccg_exp, cccg_pow}; //write here model subclasses +/** parameterized expansion, only for non-self consistent Horndeski theories (_smg) */ -enum expansion_model {lcdm, wowa, wowa_w, wede}; //parameterized expansion, only for non-self consistent Horndeski theories \\ILSWEDE +enum expansion_model {lcdm, wowa, wowa_w, wede}; -/** list of possible parametrisations of the DE equation of state */ +/** list of possible parametrizations of the varying fundamental constants */ -enum equation_of_state {CLP,EDE}; +enum varconst_dependence {varconst_none,varconst_instant}; + +/** list of formats for the vector of background quantities */ + +enum vecback_format {short_info, normal_info, long_info}; + +/** list of interpolation methods: search location in table either + by bisection (inter_normal), or step by step starting from given + index (inter_closeby) */ + +enum interpolation_method {inter_normal, inter_closeby}; /** - * All background parameters and evolution that other modules need to know. + * background structure containing all the background information that + * other modules need to know. * * Once initialized by the backgound_init(), contains all necessary * information on the background evolution (except thermodynamics), @@ -57,66 +75,84 @@ struct background //@{ double H0; /**< \f$ H_0 \f$: Hubble parameter (in fact, [\f$H_0/c\f$]) in \f$ Mpc^{-1} \f$ */ + double h; /**< reduced Hubble parameter */ double Omega0_g; /**< \f$ \Omega_{0 \gamma} \f$: photons */ - - double T_cmb; /**< \f$ T_{cmb} \f$: current CMB temperature in Kelvins */ + double T_cmb; /**< \f$ T_{cmb} \f$: current CMB temperature in Kelvins */ double Omega0_b; /**< \f$ \Omega_{0 b} \f$: baryons */ - double Omega0_cdm; /**< \f$ \Omega_{0 cdm} \f$: cold dark matter */ - - double Omega0_lambda; /**< \f$ \Omega_{0_\Lambda} \f$: cosmological constant */ - - double Omega0_fld; /**< \f$ \Omega_{0 de} \f$: fluid */ + double Omega0_ur; /**< \f$ \Omega_{0 \nu r} \f$: ultra-relativistic neutrinos */ - enum equation_of_state fluid_equation_of_state; /**< parametrisation scheme for fluid equation of state */ + double Omega0_cdm; /**< \f$ \Omega_{0 cdm} \f$: cold dark matter */ - double w0_fld; /**< \f$ w0_{DE} \f$: current fluid equation of state parameter */ - double wa_fld; /**< \f$ wa_{DE} \f$: fluid equation of state parameter derivative */ - double Omega_EDE; /**< \f$ wa_{DE} \f$: Early Dark Energy density parameter */ + double Omega0_idm; /**< \f$ \Omega_{0 idm} \f$: interacting dark matter with photons, baryons, and idr */ - double cs2_fld; /**< \f$ c^2_{s~DE} \f$: sound speed of the fluid - in the frame comoving with the fluid (so, this is - not [delta p/delta rho] in the synchronous or - newtonian gauge!!!) */ - short use_ppf; /**< flag switching on PPF perturbation equations - instead of true fluid equations for - perturbations. It could have been defined inside - perturbation structure, but we leave it here in - such way to have all fld parameters grouped. */ + double Omega0_idr; /**< \f$ \Omega_{0 idr} \f$: interacting dark radiation */ + double T_idr; /**< \f$ T_{idr} \f$: current temperature of interacting dark radiation in Kelvins */ - double c_gamma_over_c_fld; /**< ppf parameter defined in eq. (16) of 0808.3125 [astro-ph] */ + double Omega0_dcdmdr; /**< \f$ \Omega_{0 dcdm}+\Omega_{0 dr} \f$: decaying cold dark matter (dcdm) decaying to dark radiation (dr) */ + double Omega_ini_dcdm; /**< \f$ \Omega_{ini,dcdm} \f$: rescaled initial value for dcdm density (see 1407.2418 for definitions) */ + double Gamma_dcdm; /**< \f$ \Gamma_{dcdm} \f$: decay constant for decaying cold dark matter */ + double tau_dcdm; - double Omega0_ur; /**< \f$ \Omega_{0 \nu r} \f$: ultra-relativistic neutrinos */ + int N_ncdm; /**< Number of distinguishable ncdm species */ + /* the following parameters help to define tabulated ncdm p-s-d passed in file */ + char * ncdm_psd_files; /**< list of filenames for tabulated p-s-d */ + int * got_files; /**< list of flags for each species, set to true if p-s-d is passed through file */ + /* the following parameters help to define the analytical ncdm phase space distributions (p-s-d) */ + double * ncdm_psd_parameters; /**< list of parameters for specifying/modifying ncdm p.s.d.'s, to be customized for given model + (could be e.g. mixing angles) */ + double * M_ncdm; /**< vector of masses of non-cold relic: dimensionless ratios m_ncdm/T_ncdm */ + double * m_ncdm_in_eV; /**< list of ncdm masses in eV (inferred from M_ncdm and other parameters above) */ + double * Omega0_ncdm, Omega0_ncdm_tot; /**< Omega0_ncdm for each species and for the total Omega0_ncdm */ + double * T_ncdm,T_ncdm_default; /**< list of 1st parameters in p-s-d of non-cold relics: relative temperature + T_ncdm1/T_gamma; and its default value */ + double * ksi_ncdm, ksi_ncdm_default; /**< list of 2nd parameters in p-s-d of non-cold relics: relative chemical potential + ksi_ncdm1/T_ncdm1; and its default value */ + double * deg_ncdm, deg_ncdm_default; /**< vector of degeneracy parameters in factor of p-s-d: 1 for one family of neutrinos + (= one neutrino plus its anti-neutrino, total g*=1+1=2, so deg = 0.5 g*); and its + default value */ + int * ncdm_input_q_size; /**< Vector of numbers of q bins */ + double * ncdm_qmax; /**< Vector of maximum value of q */ - double Omega0_dcdmdr; /**< \f$ \Omega_{0 dcdm}+\Omega_{0 dr} \f$: decaying cold dark matter (dcdm) decaying to dark radiation (dr) */ + double Omega0_k; /**< \f$ \Omega_{0_k} \f$: curvature contribution */ - double Gamma_dcdm; /**< \f$ \Gamma_{dcdm} \f$: decay constant for decaying cold dark matter */ + double Omega0_lambda; /**< \f$ \Omega_{0_\Lambda} \f$: cosmological constant */ + double Omega0_fld; /**< \f$ \Omega_{0 de} \f$: fluid */ + double Omega0_scf; /**< \f$ \Omega_{0 scf} \f$: scalar field */ + short use_ppf; /**< flag switching on PPF perturbation equations instead of true fluid equations for perturbations. It could have been defined inside + perturbation structure, but we leave it here in such way to have all fld parameters grouped. */ + double c_gamma_over_c_fld; /**< ppf parameter defined in eq. (16) of 0808.3125 [astro-ph] */ + enum equation_of_state fluid_equation_of_state; /**< parametrisation scheme for fluid equation of state */ + double w0_fld; /**< \f$ w0_{DE} \f$: current fluid equation of state parameter */ + double wa_fld; /**< \f$ wa_{DE} \f$: fluid equation of state parameter derivative */ + double cs2_fld; /**< \f$ c^2_{s~DE} \f$: sound speed of the fluid in the frame comoving with the fluid (so, this is + not [delta p/delta rho] in the synchronous or newtonian gauge!) */ + double Omega_EDE; /**< \f$ wa_{DE} \f$: Early Dark Energy density parameter */ + double * scf_parameters; /**< list of parameters describing the scalar field potential */ + short attractor_ic_scf; /**< whether the scalar field has attractor initial conditions */ + int scf_tuning_index; /**< index in scf_parameters used for tuning */ + double phi_ini_scf; /**< \f$ \phi(t_0) \f$: scalar field initial value */ + double phi_prime_ini_scf;/**< \f$ d\phi(t_0)/d\tau \f$: scalar field initial derivative wrt conformal time */ + int scf_parameters_size; /**< size of scf_parameters */ + double varconst_alpha; /**< finestructure constant for varying fundamental constants */ + double varconst_me; /**< electron mass for varying fundamental constants */ + enum varconst_dependence varconst_dep; /**< dependence of the varying fundamental constants as a function of time */ + double varconst_transition_redshift; /**< redshift of transition between varied fundamental constants and normal fundamental constants in the 'varconst_instant' case*/ - double Omega_ini_dcdm; /**< \f$ \Omega_{ini,dcdm} \f$: rescaled initial value for dcdm density (see 1407.2418 for definitions) */ + //@} - double Omega0_scf; /**< \f$ \Omega_{0 scf} \f$: scalar field */ - short attractor_ic_scf; /**< whether the scalar field has attractor initial conditions */ - double phi_ini_scf; /**< \f$ \phi(t_0) \f$: scalar field initial value */ - double phi_prime_ini_scf; /**< \f$ d\phi(t_0)/d\tau \f$: scalar field initial derivative wrt conformal time */ - double * scf_parameters; /**< list of parameters describing the scalar field potential */ - int scf_parameters_size; /**< size of scf_parameters */ - int scf_tuning_index; /**< index in scf_parameters used for tuning */ - //double scf_lambda; /**< \f$ \lambda \f$ : scalar field exponential potential slope */ - //double scf_alpha; /**< \f$ \alpha \f$ : Albrecht-Skordis polynomial slope */ - //double scf_B; /**< \f$ \alpha \f$ : Albrecht-Skordis field shift */ - //double scf_A; /**< \f$ \alpha \f$ : Albrecht-Skordis offset */ - double Omega0_k; /**< \f$ \Omega_{0_k} \f$ : curvature contribution */ + /** @name - hi_class (_smg) related parameters */ double hubble_friction; /** friction coefficient in H' equation: H' = ... + H_friction*(H^2 - rho_crit) [NOT ONLY IN SMG!] */ int hubble_evolution; /** whether to evolve H' from the equation */ - + double wede_Omega_e_regularizer_smg; /** regularize adding a tiny Omega_e */ enum gravity_model gravity_model_smg; /** Horndeski model */ -// enum gravity_model_subclass gravity_submodel_smg; /** Horndeski model */ + // enum gravity_model_subclass gravity_submodel_smg; /** Horndeski model */ enum expansion_model expansion_model_smg; /* choice of expansion rate */ short initial_conditions_set_smg; /* whether IC have been established. For printing and information */ @@ -142,6 +178,10 @@ struct background double min_ct2_smg; /**< minimum value of tensor speed of sound squared (for stability test) */ double min_D_smg; /**< minimum value of scalar kinetic term (for stability test) */ double min_cs2_smg; /**< minimum value of scalar speed of sound squared (for stability test) */ + double a_min_M2_smg; /**< scale factor of the minimum value of planck mass (for stability test) */ + double a_min_ct2_smg; /**< scale factor of the minimum value of tensor speed of sound squared (for stability test) */ + double a_min_D_smg; /**< scale factor of the minimum value of scalar kinetic term (for stability test) */ + double a_min_cs2_smg; /**< scale factor of the minimum value of scalar speed of sound squared (for stability test) */ double min_bra_smg; /**< minimum value of the braiding */ double max_bra_smg; /**< maximum value of the braiding */ @@ -151,7 +191,7 @@ struct background int field_evolution_smg; /**< does the model require solving the equation for the scalar field at the background? this is typically not the case for parameterized models */ - int M_pl_evolution_smg; /**< does the model require integrating the Planck mass from alpha_M? */ + int M2_evolution_smg; /**< does the model require integrating the Planck mass from alpha_M? */ int rho_evolution_smg; /**< does the model require integrating the energy density? */ /* Modified gravity parameters @@ -168,62 +208,27 @@ struct background double * parameters_2_smg; /**< list of auxiliary parameters describing the modified gravity model */ int parameters_2_size_smg; /**< size of parameters_smg */ - int M_pl_tuning_smg; /**< whether we want secondary tuning for M_pl(today) */ + int M2_tuning_smg; /**< whether we want secondary tuning for M2(today) */ int tuning_index_2_smg; /**< index in scf_parameters used for tuning (the Planck mass) */ - double M_pl_today_smg; + double M2_today_smg; short output_background_smg; /**< flag regulating the amount of information printed onbackground.dat output */ - //some thermo parameters: little cheat to be able to call sigma(rs_d), etc.. - double rs_d; //drag horizon - - int N_ncdm; /**< Number of distinguishabe ncdm species */ - double * M_ncdm; /**bg_size+pba->index_bg] with all other quantities (array of size bg_size*bt_size) **/ //@} + /** @name - table of their second derivatives, used for spline interpolation */ //@{ - double * d2tau_dz2_table; /**< vector d2tau_dz2_table[index_tau] with values of \f$ d^2 \tau / dz^2 \f$ (conformal time) */ - double * d2background_dtau2_table; /**< table d2background_dtau2_table[index_tau*pba->bg_size+pba->index_bg] with values of \f$ d^2 b_i / d\tau^2 \f$ (conformal time) */ + double * d2tau_dz2_table; /**< vector d2tau_dz2_table[index_loga] with values of \f$ d^2 \tau / dz^2 \f$ (conformal time) */ + double * d2z_dtau2_table; /**< vector d2z_dtau2_table[index_loga] with values of \f$ d^2 z / d\tau^2 \f$ (conformal time) */ + double * d2background_dloga2_table; /**< table d2background_dtau2_table[index_loga*pba->bg_size+pba->index_bg] with values of \f$ d^2 b_i / d\log(a)^2 \f$ */ //@} @@ -378,17 +474,16 @@ struct background //@{ - int index_bi_a; /**< {B} scale factor */ - int index_bi_H; /**< {B} Hubble rate factor */ int index_bi_rho_dcdm;/**< {B} dcdm density */ int index_bi_rho_dr; /**< {B} dr density */ int index_bi_rho_fld; /**< {B} fluid density */ int index_bi_phi_scf; /**< {B} scalar field value */ int index_bi_phi_prime_scf; /**< {B} scalar field derivative wrt conformal time */ + int index_bi_logH; /**< {B} Hubble rate factor */ int index_bi_phi_smg; /**< scalar field */ int index_bi_phi_prime_smg; /**< scalar field derivative wrt conformal time*/ - int index_bi_delta_M_pl_smg; //*> integrate the Planck mass (only in certain parameterizations **/ + int index_bi_delta_M2_smg; //*> integrate the Planck mass (only in certain parameterizations **/ int index_bi_rho_smg; //*> integrate the smg energy density (only in certain parameterizations) **/ int index_bi_time; /**< {C} proper (cosmological) time in Mpc */ @@ -413,6 +508,7 @@ struct background //@{ short has_cdm; /**< presence of cold dark matter? */ + short has_idm; /**< presence of interacting dark matter with photons, baryons, and idr */ short has_dcdm; /**< presence of decaying cold dark matter? */ short has_dr; /**< presence of relativistic decay radiation? */ short has_scf; /**< presence of a scalar field? */ @@ -420,20 +516,21 @@ struct background short has_lambda; /**< presence of cosmological constant? */ short has_fld; /**< presence of fluid with constant w and cs2? */ short has_ur; /**< presence of ultra-relativistic neutrinos/relics? */ + short has_idr; /**< presence of interacting dark radiation? */ short has_smg; /**< presence of scalar field? */ short has_curvature; /**< presence of global spatial curvature? */ + short has_varconst; /**< presence of varying fundamental constants? */ //@} + /** *@name - arrays related to sampling and integration of ncdm phase space distributions */ - //@{ + int * ncdm_quadrature_strategy; /**< Vector of integers according to quadrature strategy. */ - int * ncdm_input_q_size; /**< Vector of numbers of q bins */ - double * ncdm_qmax; /**< Vector of maximum value of q */ double ** q_ncdm_bg; /**< Pointers to vectors of background sampling in q */ double ** w_ncdm_bg; /**< Pointers to vectors of corresponding quadrature weights w */ double ** q_ncdm; /**< Pointers to vectors of perturbation sampling in q */ @@ -445,27 +542,11 @@ struct background //@} - /** - *@name - some flags needed for calling background functions - */ - - //@{ - - short short_info; /**< flag for calling background_at_eta and return little information */ - short normal_info; /**< flag for calling background_at_eta and return medium information */ - short long_info; /**< flag for calling background_at_eta and return all information */ - - short inter_normal; /**< flag for calling background_at_eta and find position in interpolation table normally */ - short inter_closeby; /**< flag for calling background_at_eta and find position in interpolation table starting from previous position in previous call */ - - //@} - /** @name - technical parameters */ //@{ short shooting_failed; /**< flag is set to true if shooting failed. */ - ErrorMsg shooting_error; /**< Error message from shooting failed. */ short background_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ @@ -475,6 +556,7 @@ struct background //@} }; + /** * temporary parameters and workspace passed to the background_derivs function */ @@ -521,14 +603,23 @@ struct background_parameters_for_distributions { extern "C" { #endif + int background_at_z( + struct background *pba, + double a_rel, + enum vecback_format return_format, + enum interpolation_method inter_mode, + int * last_index, + double * pvecback + ); + int background_at_tau( - struct background *pba, - double tau, - short return_format, - short inter_mode, - int * last_index, - double * pvecback - ); + struct background *pba, + double tau, + enum vecback_format return_format, + enum interpolation_method inter_mode, + int * last_index, + double * pvecback + ); int background_tau_of_z( struct background *pba, @@ -536,12 +627,19 @@ extern "C" { double * tau ); + int background_z_of_tau( + struct background *pba, + double tau, + double * z + ); + int background_functions( - struct background *pba, - double * pvecback_B, - short return_format, - double * pvecback - ); + struct background *pba, + double a_rel, + double * pvecback_B, + enum vecback_format return_format, + double * pvecback + ); int background_w_fld( struct background * pba, @@ -550,110 +648,131 @@ extern "C" { double * dw_over_da_fld, double * integral_fld); + int background_varconst_of_z( + struct background* pba, + double z, + double* alpha, + double* me + ); + int background_init( - struct precision *ppr, - struct background *pba - ); + struct precision *ppr, + struct background *pba + ); int background_free( - struct background *pba - ); + struct background *pba + ); + + int background_free_noinput( + struct background *pba + ); int background_free_input( struct background *pba ); - int background_free_noinput( - struct background *pba - ); - int background_indices( - struct background *pba - ); + struct background *pba + ); int background_ncdm_distribution( - void *pba, - double q, - double * f0 - ); + void *pba, + double q, + double * f0 + ); int background_ncdm_test_function( - void *pba, - double q, - double * test - ); + void *pba, + double q, + double * test + ); int background_ncdm_init( - struct precision *ppr, - struct background *pba - ); - + struct precision *ppr, + struct background *pba + ); int background_ncdm_momenta( - double * qvec, - double * wvec, - int qsize, - double M, - double factor, - double z, - double * n, - double * rho, - double * p, - double * drho_dM, - double * pseudo_p - ); + double * qvec, + double * wvec, + int qsize, + double M, + double factor, + double z, + double * n, + double * rho, + double * p, + double * drho_dM, + double * pseudo_p + ); int background_ncdm_M_from_Omega( - struct precision *ppr, - struct background *pba, - int species - ); + struct precision *ppr, + struct background *pba, + int species + ); - int background_gravity_functions( - struct background *pba, - double * pvecback_B, - short return_format, - double * pvecback - ); - - - int background_gravity_parameters( - struct background *pba - ); + int background_checks( + struct precision * ppr, + struct background *pba + ); int background_solve( - struct precision *ppr, - struct background *pba - ); + struct precision *ppr, + struct background *pba + ); int background_initial_conditions( - struct precision *ppr, - struct background *pba, - double * pvecback, - double * pvecback_integration - ); + struct precision *ppr, + struct background *pba, + double * pvecback, + double * pvecback_integration, + double * loga_ini + ); int background_find_equality( struct precision *ppr, struct background *pba ); + int background_output_titles(struct background * pba, char titles[_MAXTITLESTRINGLENGTH_] ); int background_output_data( - struct background *pba, - int number_of_titles, - double *data); + struct background *pba, + int number_of_titles, + double *data); int background_derivs( - double z, - double * y, - double * dy, - void * parameters_and_workspace, - ErrorMsg error_message - ); + double loga, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ); + + int background_sources( + double loga, + double * y, + double * dy, + int index_loga, + void * parameters_and_workspace, + ErrorMsg error_message + ); + + int background_timescale( + double loga, + void * parameters_and_workspace, + double * timescale, + ErrorMsg error_message + ); + + int background_output_budget( + struct background* pba + ); /** Scalar field potential and its derivatives **/ double V_scf( @@ -662,9 +781,9 @@ extern "C" { ); double dV_scf( - struct background *pba, - double phi - ); + struct background *pba, + double phi + ); double ddV_scf( struct background *pba, @@ -694,7 +813,7 @@ extern "C" { /* remark: CAMB uses 3.085678e22: good to know if you want to compare with high accuracy */ #define _Gyr_over_Mpc_ 3.06601394e2 /**< conversion factor from megaparsecs to gigayears - (c=1 units, Julian years of 365.25 days) */ + (c=1 units, Julian years of 365.25 days) */ #define _c_ 2.99792458e8 /**< c in m/s */ #define _G_ 6.67428e-11 /**< Newton constant in m^3/Kg/s^2 */ #define _eV_ 1.602176487e-19 /**< 1 eV expressed in J */ @@ -703,24 +822,20 @@ extern "C" { #define _k_B_ 1.3806504e-23 #define _h_P_ 6.62606896e-34 /* remark: sigma_B = 2 pi^5 k_B^4 / (15h^3c^2) = 5.670400e-8 - = Stefan-Boltzmann constant in W/m^2/K^4 = Kg/K^4/s^3 */ + = Stefan-Boltzmann constant in W/m^2/K^4 = Kg/K^4/s^3 */ //@} /** - * @name Some numbers useful in numerical algorithms - but not - * affecting precision, otherwise would be in precision structure + * @name Some limits on possible background parameters */ //@{ -#define _H0_BIG_ 1./2997.9 /**< maximal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=1.0) \f$ */ -#define _H0_SMALL_ 0.3/2997.9 /**< minimal \f$ H_0 \f$ in \f$ Mpc^{-1} (h=0.3) \f$ */ -#define _TCMB_BIG_ 2.8 /**< maximal \f$ T_{cmb} \f$ in K */ -#define _TCMB_SMALL_ 2.7 /**< minimal \f$ T_{cmb} \f$ in K */ -#define _TOLERANCE_ON_CURVATURE_ 1.e-5 /**< if \f$ | \Omega_k | \f$ smaller than this, considered as flat */ -#define _OMEGAK_BIG_ 0.5 /**< maximal \f$ Omega_k \f$ */ -#define _OMEGAK_SMALL_ -0.5 /**< minimal \f$ Omega_k \f$ */ +#define _h_BIG_ 1.5 /**< maximal \f$ h \f$ */ +#define _h_SMALL_ 0.3 /**< minimal \f$ h \f$ */ +#define _omegab_BIG_ 0.039 /**< maximal \f$ omega_b \f$ */ +#define _omegab_SMALL_ 0.005 /**< minimal \f$ omega_b \f$ */ //@} @@ -731,8 +846,8 @@ extern "C" { //@{ #define _SCALE_BACK_ 0.1 /**< logarithmic step used when searching - for an initial scale factor at which ncdm - are still relativistic */ + for an initial scale factor at which ncdm + are still relativistic */ #define _PSD_DERIVATIVE_EXP_MIN_ -30 /**< for ncdm, for accurate computation of dlnf0/dlnq, q step is varied in range specified by these parameters */ #define _PSD_DERIVATIVE_EXP_MAX_ 2 /**< for ncdm, for accurate computation of dlnf0/dlnq, q step is varied in range specified by these parameters */ diff --git a/include/class.h b/include/class.h index 7250c9c5..f0aeb4f0 100644 --- a/include/class.h +++ b/include/class.h @@ -25,10 +25,14 @@ #include "thermodynamics.h" #include "perturbations.h" #include "primordial.h" -#include "nonlinear.h" +#include "fourier.h" #include "transfer.h" -#include "spectra.h" +#include "harmonic.h" +#include "distortions.h" #include "lensing.h" #include "output.h" +/* hi_class modules */ +#include "hi_class.h" + #endif diff --git a/include/common.h b/include/common.h old mode 100755 new mode 100644 index 833fc74b..7dc96e57 --- a/include/common.h +++ b/include/common.h @@ -15,7 +15,8 @@ #ifndef __COMMON__ #define __COMMON__ -#define _VERSION_ "v2.7.2" +#define _VERSION_ "v3.2.3" + /* @cond INCLUDE_WITH_DOXYGEN */ #define _TRUE_ 1 /**< integer associated to true statement */ @@ -30,6 +31,8 @@ typedef char ErrorMsg[_ERRORMSGSIZE_]; /**< Generic error messages (there is suc #define _FILENAMESIZE_ 256 /**< size of the string read in each line of the file (extra characters not taken into account) */ typedef char FileName[_FILENAMESIZE_]; +#define _SUFFIXNAMESIZE_ 4 /**< maximum size of the short string appended to file names to account for initial conditions, etc. */ + #define _PI_ 3.1415926535897932384626433832795e0 /**< The number pi */ #define _PIHALF_ 1.57079632679489661923132169164e0 /**< pi divided by 2 */ @@ -42,6 +45,8 @@ typedef char FileName[_FILENAMESIZE_]; #define _SQRT_PI_ 1.77245385090551602729816748334e0 /**< square root of pi. */ +#define _E_ 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668082264800168477411853742345442437107539077744992069551702761838606261331384583000752044933826560297606737113200709328709127443747047230696977209310141692836819025515108657463772111252389784425056953696 /**< exponential of one */ + #define _MAX_IT_ 10000/**< default maximum number of iterations in conditional loops (to avoid infinite loops) */ #define _QUADRATURE_MAX_ 250 /**< maximum allowed number of abssices in quadrature integral estimation */ @@ -52,6 +57,8 @@ typedef char FileName[_FILENAMESIZE_]; #define _HUGE_ 1.e99 +#define _EPSILON_ 1.e-10 + #define _OUTPUTPRECISION_ 12 /**< Number of significant digits in some output files */ #define _COLUMNWIDTH_ 24 /**< Must be at least _OUTPUTPRECISION_+8 for guaranteed fixed width columns */ @@ -60,8 +67,6 @@ typedef char FileName[_FILENAMESIZE_]; #define _DELIMITER_ "\t" /**< character used for delimiting titles in the title strings */ - - #ifndef __CLASSDIR__ #define __CLASSDIR__ "." /**< The directory of CLASS. This is set to the absolute path to the CLASS directory so this is just a failsafe. */ #endif @@ -70,14 +75,40 @@ typedef char FileName[_FILENAMESIZE_]; #define MAX(a,b) (((a)<(b)) ? (b) : (a) ) /**< the usual "max" function */ #define SIGN(a) (((a)>0) ? 1. : -1. ) #define NRSIGN(a,b) ((b) >= 0.0 ? fabs(a) : -fabs(a)) -#define index_symmetric_matrix(i1,i2,N) (((i1)<=(i2)) ? (i2+N*i1-(i1*(i1+1))/2) : (i1+N*i2-(i2*(i2+1))/2)) /**< assigns an index from 0 to [N(N+1)/2-1] to the coefficients M_{i1,i2} of an N*N symmetric matrix; useful for converting a symmetric matrix to a vector, without losing or double-counting any information */ +#define index_symmetric_matrix(i1,i2,N) (((i1)<=(i2)) ? ((i2)+N*(i1)-((i1)*((i1)+1))/2) : ((i1)+N*(i2)-((i2)*((i2)+1))/2)) /**< assigns an index from 0 to [N(N+1)/2-1] to the coefficients M_{i1,i2} of an N*N symmetric matrix; useful for converting a symmetric matrix to a vector, without losing or double-counting any information */ + /* @endcond */ -// needed because of weird openmp bug on macosx lion... -void class_protect_sprintf(char* dest, char* tpl,...); -void class_protect_fprintf(FILE* dest, char* tpl,...); -void* class_protect_memcpy(void* dest, void* from, size_t sz); -int get_number_of_titles(char * titlestring); + +#ifdef __cplusplus +extern "C" { +#endif + /* needed because of weird openmp bug on macosx lion... */ + void class_protect_sprintf(char* dest, char* tpl, ...); + void class_protect_fprintf(FILE* dest, char* tpl, ...); + void* class_protect_memcpy(void* dest, void* from, size_t sz); + + /* some general functions */ + int get_number_of_titles(char * titlestring); + int file_exists(const char *fname); + int compare_doubles(const void * a, + const void * b); + int string_begins_with(char* thestring, char beginchar); +#ifdef __cplusplus +} +#endif + +/* general CLASS macros */ + +//This macro receives additional 'do {' and '} while(0)' to safeguard +//in single-line if else clauses without '{' and '}' +//Also, careful: Since sprintf(NULL,0,x) returns the size of characters +//that are inside of the string x, then the buffer needs to be +//actually one character longer to hold also the null character '\0' +#define class_sprintf(string, format...) do { \ + int _buffer_size_sprintf = snprintf(NULL, 0, format); \ + snprintf(string, _buffer_size_sprintf+1, format); \ +} while (0) #define class_build_error_string(dest,tmpl,...) { \ ErrorMsg FMsg; \ @@ -112,15 +143,15 @@ int get_number_of_titles(char * titlestring); #define class_call(function, error_message_from_function, error_message_output) \ class_call_except(function, error_message_from_function,error_message_output,) -/* same in parallel region */ -#define class_call_parallel(function, error_message_from_function, error_message_output) { \ - if (abort == _FALSE_) { \ +/* same in parallel region -- UNUSED NOW */ +/*#define class_call_parallel(function, error_message_from_function, error_message_output) { \ + if (abort_now == _FALSE_) { \ if (function == _FAILURE_) { \ class_call_message(error_message_output,#function,error_message_from_function); \ - abort=_TRUE_; \ + abort_now=_TRUE_; \ } \ } \ -} +}*/ @@ -131,7 +162,7 @@ int get_number_of_titles(char * titlestring); /* macro for allocating memory and returning error if it failed */ #define class_alloc(pointer, size, error_message_output) { \ - pointer=malloc(size); \ + pointer=(__typeof__(pointer))malloc(size); \ if (pointer == NULL) { \ int size_int; \ size_int = size; \ @@ -140,23 +171,24 @@ int get_number_of_titles(char * titlestring); } \ } -/* same inside parallel structure */ + +/* same inside parallel structure -- UNUSED NOW #define class_alloc_parallel(pointer, size, error_message_output) { \ pointer=NULL; \ - if (abort == _FALSE_) { \ - pointer=malloc(size); \ + if (abort_now == _FALSE_) { \ + pointer=(__typeof__(pointer))malloc(size); \ if (pointer == NULL) { \ int size_int; \ size_int = size; \ class_alloc_message(error_message_output,#pointer, size_int); \ - abort=_TRUE_; \ + abort_now=_TRUE_; \ } \ } \ -} +}*/ /* macro for allocating memory, initializing it with zeros/ and returning error if it failed */ #define class_calloc(pointer, init,size, error_message_output) { \ - pointer=calloc(init,size); \ + pointer=(__typeof__(pointer))calloc(init,size); \ if (pointer == NULL) { \ int size_int; \ size_int = size; \ @@ -166,8 +198,8 @@ int get_number_of_titles(char * titlestring); } /* macro for re-allocating memory, returning error if it failed */ -#define class_realloc(pointer, newname, size, error_message_output) { \ - pointer=realloc(newname,size); \ +#define class_realloc(pointer, size, error_message_output) { \ + pointer=(__typeof__(pointer))realloc(pointer,size); \ if (pointer == NULL) { \ int size_int; \ size_int = size; \ @@ -202,14 +234,15 @@ int get_number_of_titles(char * titlestring); } \ } +/* UNUSED NOW #define class_test_parallel(condition, error_message_output, args...) { \ - if (abort == _FALSE_) { \ + if (abort_now == _FALSE_) { \ if (condition) { \ class_test_message(error_message_output,#condition, args); \ - abort=_TRUE_; \ + abort_now=_TRUE_; \ } \ } \ -} +}*/ /* macro for returning error message; args is a variable list of optional arguments, e.g.: args="x=%d",x @@ -308,6 +341,33 @@ int get_number_of_titles(char * titlestring); storage[dataindex++] = defaultvalue; \ } +//The name for this macro can be at most 30 characters total +#define class_print_species(name,type) \ +printf("-> %-30s Omega = %-15g , omega = %-15g\n",name,pba->Omega0_##type,pba->Omega0_##type*pba->h*pba->h); + +//Generic evolver prototype +#define EVOLVER_PROTOTYPE \ + int (*)(double, double *, double *, void *, ErrorMsg), \ + double, double, double *, int *, \ + int, void *, double, double, \ + int (*)(double, void *, double *, ErrorMsg), \ + double, double *, int, \ + int (*)(double, double *, double *, int, void *, ErrorMsg), \ + int (*)(double, double *, double *, void *, ErrorMsg), \ + ErrorMsg + +/* Forward-Declare the structs of CLASS */ +struct background; +struct thermodynamics; +struct perturbations; +struct transfer; +struct primordial; +struct harmonic; +struct fourier; +struct lensing; +struct distortions; +struct output; + /** parameters related to the precision of the code and to the method of calculation */ /** @@ -344,474 +404,15 @@ enum file_format {class_format,camb_format}; */ struct precision { - - /** @name - parameters related to the background */ - //@{ - /** - * default initial value of scale factor in background integration, in - * units of scale factor today + * Define (allocate) all precision parameters (these very concise + * lines declare all precision parameters thanks to the macros + * defined in macros_precision.h) */ - double a_ini_over_a_today_default; - - /** - * default step d tau in background integration, in units of - * conformal Hubble time (\f$ d \tau \f$ = back_integration_stepsize / aH ) - */ - double back_integration_stepsize; - - /** - * parameter controlling precision of background integration - */ - double tol_background_integration; - - - /** - * parameter controlling how deep inside radiation domination must the - * initial time be chosen - */ - double tol_initial_Omega_r; - - /** - * parameter controlling relative precision of ncdm mass for given - * ncdm current density - */ - double tol_M_ncdm; - - /** - * parameter controlling relative precision of integrals over ncdm - * phase-space distribution during perturbation calculation: value - * to be applied in Newtonian gauge - */ - double tol_ncdm_newtonian; - - /** - * parameter controlling relative precision of integrals over ncdm - * phase-space distribution during perturbation calculation: value - * to be applied in synchronous gauge - */ - double tol_ncdm_synchronous; - - /** - * parameter controlling relative precision of integrals over ncdm - * phase-space distribution during perturbation calculation: value - * actually applied in chosen gauge - */ - double tol_ncdm; - - /** - * parameter controlling relative precision of integrals over ncdm - * phase-space distribution during background evolution - */ - double tol_ncdm_bg; - - /** - * parameter controlling how relativistic must non-cold relics be at - * initial time - */ - double tol_ncdm_initial_w; - - /** - * parameter controlling the initial scalar field in background functions - */ - double safe_phi_scf; - - /** - * parameter controlling precision with which tau_eq (conformal time - * at radiation/matter equality) is found (units: Mpc) - */ - double tol_tau_eq; - - //@} - - /** @name - parameters related to the thermodynamics */ - - //@{ - - /* - for bbn */ -/* @cond INCLUDE_WITH_DOXYGEN */ - FileName sBBN_file; -/* @endcond */ - /* - for recombination */ - - /* initial and final redshifts in recfast */ - - double recfast_z_initial; /**< initial redshift in recfast */ - - /* parameters governing precision of integration */ - - int recfast_Nz0; /**< number of integration steps */ - double tol_thermo_integration; /**< precision of each integration step */ - - /* He fudge parameters from recfast 1.4 */ - - int recfast_Heswitch; /**< recfast 1.4 parameter */ - double recfast_fudge_He; /**< recfast 1.4 parameter */ - - /* H fudge parameters from recfast 1.5 (Gaussian fits for extra H physics by Adam Moss) */ - - int recfast_Hswitch; /**< recfast 1.5 switching parameter */ - double recfast_fudge_H; /**< H fudge factor when recfast_Hswitch set to false (v1.4 fudging) */ - double recfast_delta_fudge_H; /**< correction to H fudge factor in v1.5 */ - double recfast_AGauss1; /**< Amplitude of 1st Gaussian */ - double recfast_AGauss2; /**< Amplitude of 2nd Gaussian */ - double recfast_zGauss1; /**< ln(1+z) of 1st Gaussian */ - double recfast_zGauss2; /**< ln(1+z) of 2nd Gaussian */ - double recfast_wGauss1; /**< Width of 1st Gaussian */ - double recfast_wGauss2; /**< Width of 2nd Gaussian */ - - /* triggers for switching approximations; ranges for doing it smoothly */ - - double recfast_z_He_1; /**< down to which redshift Helium fully ionized */ - double recfast_delta_z_He_1; /**< z range over which transition is smoothed */ - - double recfast_z_He_2; /**< down to which redshift first Helium recombination not complete */ - double recfast_delta_z_He_2; /**< z range over which transition is smoothed */ - - double recfast_z_He_3; /**< down to which redshift Helium singly ionized */ - double recfast_delta_z_He_3; /**< z range over which transition is smoothed */ - - double recfast_x_He0_trigger; /**< value below which recfast uses the full equation for Helium */ - double recfast_x_He0_trigger2; /**< a second threshold used in derivative routine */ - double recfast_x_He0_trigger_delta; /**< x_He range over which transition is smoothed */ - - double recfast_x_H0_trigger; /**< value below which recfast uses the full equation for Hydrogen */ - double recfast_x_H0_trigger2; /**< a second threshold used in derivative routine */ - double recfast_x_H0_trigger_delta; /**< x_H range over which transition is smoothed */ - - double recfast_H_frac; /**< governs time at which full equation of evolution for Tmat is used */ -/* @cond INCLUDE_WITH_DOXYGEN */ - FileName hyrec_Alpha_inf_file; - FileName hyrec_R_inf_file; - FileName hyrec_two_photon_tables_file; -/* @endcond */ - /* - for reionization */ - - double reionization_z_start_max; /**< maximum redshift at which reionization should start. If not, return an error. */ - double reionization_sampling; /**< control stepsize in z during reionization */ - double reionization_optical_depth_tol; /**< fractional error on optical_depth */ - double reionization_start_factor; /**< parameter for CAMB-like parametrization */ - - /* - general */ - - int thermo_rate_smoothing_radius; /**< plays a minor (almost aesthetic) role in the definition of the variation rate of thermodynamical quantities */ - - //@} - - /** @name - parameters related to the perturbation */ - - //@{ - - enum evolver_type evolver; /**< which type of evolver for integrating perturbations (Runge-Kutta? Stiff?...) */ - double k_min_tau0; /**< number defining k_min for the computation of Cl's and P(k)'s (dimensionless): (k_min tau_0), usually chosen much smaller than one */ - - double k_max_tau0_over_l_max; /**< number defining k_max for the computation of Cl's (dimensionless): (k_max tau_0)/l_max, usually chosen around two */ - - double k_step_sub; /**< step in k space, in units of one period of acoustic oscillation at decoupling, for scales inside sound horizon at decoupling */ - double k_step_super; /**< step in k space, in units of one period of acoustic oscillation at decoupling, for scales above sound horizon at decoupling */ - double k_step_transition; /**< dimensionless number regulating the transition from 'sub' steps to 'super' steps. Decrease for more precision. */ - double k_step_super_reduction; /**< the step k_step_super is reduced by this amount in the k-->0 limit (below scale of Hubble and/or curvature radius) */ - - double k_per_decade_for_pk; /**< if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade outside the BAO region*/ - - double k_per_decade_for_bao; /**< if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade inside the BAO region (for finer sampling)*/ - - double k_bao_center; /**< in ln(k) space, the central value of the BAO region where sampling is finer is defined as k_rec times this number (recommended: 3, i.e. finest sampling near 3rd BAO peak) */ - - double k_bao_width; /**< in ln(k) space, width of the BAO region where sampling is finer: this number gives roughly the number of BAO oscillations well resolved on both sides of the central value (recommended: 4, i.e. finest sampling from before first up to 3+4=7th peak) */ - - double start_small_k_at_tau_c_over_tau_h; /**< largest wavelengths start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, \f$ \tau_c/\tau_H \f$. Start when start_largek_at_tau_c_over_tau_h equals this ratio. Decrease this value to start integrating the wavenumbers earlier in time. */ - - double start_large_k_at_tau_h_over_tau_k; /**< largest wavelengths start being sampled when mode is sufficiently outside Hubble scale. This is quantified in terms of the ratio of hubble time scale to wavenumber time scale, \f$ \tau_h/\tau_k \f$ which is roughly equal to (k*tau). Start when this ratio equals start_large_k_at_tau_k_over_tau_h. Decrease this value to start integrating the wavenumbers earlier in time. */ - - /** - * when to switch off tight-coupling approximation: first condition: - * \f$ \tau_c/\tau_H \f$ > tight_coupling_trigger_tau_c_over_tau_h. - * Decrease this value to switch off earlier in time. If this - * number is larger than start_sources_at_tau_c_over_tau_h, the code - * returns an error, because the source computation requires - * tight-coupling to be switched off. - */ - double tight_coupling_trigger_tau_c_over_tau_h; - - /** - * when to switch off tight-coupling approximation: - * second condition: \f$ \tau_c/\tau_k \equiv k \tau_c \f$ < - * tight_coupling_trigger_tau_c_over_tau_k. - * Decrease this value to switch off earlier in time. - */ - double tight_coupling_trigger_tau_c_over_tau_k; - - double start_sources_at_tau_c_over_tau_h; /**< sources start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, \f$ \tau_c/\tau_H \f$. Start when start_sources_at_tau_c_over_tau_h equals this ratio. Decrease this value to start sampling the sources earlier in time. */ - - int tight_coupling_approximation; /**< method for tight coupling approximation */ - - int l_max_g; /**< number of momenta in Boltzmann hierarchy for photon temperature (scalar), at least 4 */ - int l_max_pol_g; /**< number of momenta in Boltzmann hierarchy for photon polarization (scalar), at least 4 */ - int l_max_dr; /**< number of momenta in Boltzmann hierarchy for decay radiation, at least 4 */ - int l_max_ur; /**< number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4 */ - int l_max_ncdm; /**< number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4 */ - int l_max_g_ten; /**< number of momenta in Boltzmann hierarchy for photon temperature (tensor), at least 4 */ - int l_max_pol_g_ten; /**< number of momenta in Boltzmann hierarchy for photon polarization (tensor), at least 4 */ - - double curvature_ini; /**< initial condition for curvature for adiabatic */ - double entropy_ini; /**< initial condition for entropy perturbation for isocurvature */ - double gw_ini; /**< initial condition for tensor metric perturbation h */ - - /** - * default step \f$ d \tau \f$ in perturbation integration, in units of the timescale involved in the equations (usually, the min of \f$ 1/k \f$, \f$ 1/aH \f$, \f$ 1/\dot{\kappa} \f$) - */ - double perturb_integration_stepsize; - - /** - * default step \f$ d \tau \f$ for sampling the source function, in units of the timescale involved in the sources: \f$ (\dot{\kappa}- \ddot{\kappa}/\dot{\kappa})^{-1} \f$ - */ - double perturb_sampling_stepsize; - - /** - * control parameter for the precision of the perturbation integration - */ - double tol_perturb_integration; - - /** - * precision with which the code should determine (by bisection) the - * times at which sources start being sampled, and at which - * approximations must be switched on/off (units of Mpc) - */ - double tol_tau_approx; - - /** - * method for switching off photon perturbations - */ - int radiation_streaming_approximation; - - /** - * when to switch off photon perturbations, ie when to switch - * on photon free-streaming approximation (keep density and thtau, set - * shear and higher momenta to zero): - * first condition: \f$ k \tau \f$ > radiation_streaming_trigger_tau_h_over_tau_k - */ - double radiation_streaming_trigger_tau_over_tau_k; - - /** - * when to switch off photon perturbations, ie when to switch - * on photon free-streaming approximation (keep density and theta, set - * shear and higher momenta to zero): - * second condition: - */ - double radiation_streaming_trigger_tau_c_over_tau; - - int ur_fluid_approximation; /**< method for ultra relativistic fluid approximation */ - - /** - * when to switch off ur (massless neutrinos / ultra-relativistic - * relics) fluid approximation - */ - double ur_fluid_trigger_tau_over_tau_k; - - int ncdm_fluid_approximation; /**< method for non-cold dark matter fluid approximation */ - - /** - * when to switch off ncdm (massive neutrinos / non-cold - * relics) fluid approximation - */ - double ncdm_fluid_trigger_tau_over_tau_k; - - /** - * whether CMB source functions can be approximated as zero when - * visibility function g(tau) is tiny - */ - double neglect_CMB_sources_below_visibility; - - int n_min_qs_smg; /**< minimum number of steps used to sample the quantities in the quasi-static approximation (qs_smg) */ - int n_max_qs_smg; /**< maximum number of steps used to sample the quantities in the quasi-static approximation (qs_smg) */ - double z_fd_qs_smg; /**< minimum redshift after which the user requires the full-dynamic evolution */ - double trigger_mass_qs_smg; /**< if the mass is above this trigger the quasi-static approximation is switched on */ - double trigger_rad_qs_smg; /**< if the radiation component is still important w.r.t.\ the scalar field the quasi-static approximation can not be used */ - double eps_s_qs_smg; /**< when the system enters the quasi-static evolution this parameter measures how much the oscillation are decaying with time */ - - short get_h_from_trace_smg; /* Get h' from Einstein trace rather than 00 */ - - - double min_a_pert_smg; /**< minimum value of scale factor to start integration (important to test some ede models */ - double pert_ic_tolerance_smg; /**< tolerance to deviations from n=2 for IC h~tau^n. Negative values override test */ - double pert_ic_ini_z_ref_smg; /** off */ - double pert_qs_ic_tolerance_test_smg; /* maximal fractional contribution to (0i) equation of SMG terms in QS initial condition */ - - - //@} - - /** @name - parameters related to the primordial spectra */ - - //@{ - - double k_per_decade_primordial; /**< logarithmic sampling for primordial spectra (number of points per decade in k space) */ - - double primordial_inflation_ratio_min; /**< for each k, start following wavenumber when aH = k/primordial_inflation_ratio_min */ - double primordial_inflation_ratio_max; /**< for each k, stop following wavenumber, at the latest, when aH = k/primordial_inflation_ratio_max */ - int primordial_inflation_phi_ini_maxit; /**< maximum number of iteration when searching a suitable initial field value phi_ini (value reached when no long-enough slow-roll period before the pivot scale) */ - double primordial_inflation_pt_stepsize; /**< controls the integration timestep for inflaton perturbations */ - double primordial_inflation_bg_stepsize; /**< controls the integration timestep for inflaton background */ - double primordial_inflation_tol_integration; /**< controls the precision of the ODE integration during inflation */ - double primordial_inflation_attractor_precision_pivot; /**< targeted precision when searching attractor solution near phi_pivot */ - double primordial_inflation_attractor_precision_initial; /**< targeted precision when searching attractor solution near phi_ini */ - int primordial_inflation_attractor_maxit; /**< maximum number of iteration when searching attractor solution */ - double primordial_inflation_tol_curvature; /**< for each k, stop following wavenumber, at the latest, when curvature perturbation R is stable up to to this tolerance */ - double primordial_inflation_aH_ini_target; /**< control the step size in the search for a suitable initial field value */ - double primordial_inflation_end_dphi; /**< first bracketing width, when trying to bracket the value phi_end at which inflation ends naturally */ - double primordial_inflation_end_logstep; /**< logarithmic step for updating the bracketing width, when trying to bracket the value phi_end at which inflation ends naturally */ - double primordial_inflation_small_epsilon; /**< value of slow-roll parameter epsilon used to define a field value phi_end close to the end of inflation (doesn't need to be exactly at the end): epsilon(phi_end)=small_epsilon (should be smaller than one) */ - double primordial_inflation_small_epsilon_tol; /**< tolerance in the search for phi_end */ - double primordial_inflation_extra_efolds; /**< a small number of efolds, irrelevant at the end, used in the search for the pivot scale (backward from the end of inflation) */ - - //@} - - /** @name - parameters related to the transfer function */ - - //@{ - - int l_linstep; /**< factor for logarithmic spacing of values of l over which bessel and transfer functions are sampled */ - - double l_logstep; /**< maximum spacing of values of l over which Bessel and transfer functions are sampled (so, spacing becomes linear instead of logarithmic at some point) */ - - /* parameters relevant for bessel functions */ - double hyper_x_min; /**< flat case: lower bound on the smallest value of x at which we sample \f$ \Phi_l^{\nu}(x)\f$ or \f$ j_l(x)\f$ */ - double hyper_sampling_flat; /**< flat case: number of sampled points x per approximate wavelength \f$ 2\pi \f$*/ - double hyper_sampling_curved_low_nu; /**< open/closed cases: number of sampled points x per approximate wavelength \f$ 2\pi/\nu\f$, when \f$ \nu \f$ smaller than hyper_nu_sampling_step */ - double hyper_sampling_curved_high_nu; /**< open/closed cases: number of sampled points x per approximate wavelength \f$ 2\pi/\nu\f$, when \f$ \nu \f$ greater than hyper_nu_sampling_step */ - double hyper_nu_sampling_step; /**< open/closed cases: value of nu at which sampling changes */ - double hyper_phi_min_abs; /**< small value of Bessel function used in calculation of first point x (\f$ \Phi_l^{\nu}(x) \f$ equals hyper_phi_min_abs) */ - double hyper_x_tol; /**< tolerance parameter used to determine first value of x */ - double hyper_flat_approximation_nu; /**< value of nu below which the flat approximation is used to compute Bessel function */ - - /* parameters relevant for transfer function */ - - double q_linstep; /**< asymptotic linear sampling step in q - space, in units of \f$ 2\pi/r_a(\tau_rec) \f$ - (comoving angular diameter distance to - recombination) */ - - double q_logstep_spline; /**< initial logarithmic sampling step in q - space, in units of \f$ 2\pi/r_a(\tau_{rec})\f$ - (comoving angular diameter distance to - recombination) */ - - double q_logstep_open; /**< in open models, the value of - q_logstep_spline must be decreased - according to curvature. Increasing - this number will make the calculation - more accurate for large positive - Omega_k */ - - double q_logstep_trapzd; /**< initial logarithmic sampling step in q - space, in units of \f$ 2\pi/r_a(\tau_{rec}) \f$ - (comoving angular diameter distance to - recombination), in the case of small - q's in the closed case, for which one - must used trapezoidal integration - instead of spline (the number of q's - for which this is the case decreases - with curvature and vanishes in the - flat limit) */ - - double q_numstep_transition; /**< number of steps for the transition - from q_logstep_trapzd steps to - q_logstep_spline steps (transition - must be smooth for spline) */ - - double transfer_neglect_delta_k_S_t0; /**< for temperature source function T0 of scalar mode, range of k values (in 1/Mpc) taken into account in transfer function: for l < (k-delta_k)*tau0, ie for k > (l/tau0 + delta_k), the transfer function is set to zero */ - double transfer_neglect_delta_k_S_t1; /**< same for temperature source function T1 of scalar mode */ - double transfer_neglect_delta_k_S_t2; /**< same for temperature source function T2 of scalar mode */ - double transfer_neglect_delta_k_S_e; /**< same for polarization source function E of scalar mode */ - double transfer_neglect_delta_k_V_t1; /**< same for temperature source function T1 of vector mode */ - double transfer_neglect_delta_k_V_t2; /**< same for temperature source function T2 of vector mode */ - double transfer_neglect_delta_k_V_e; /**< same for polarization source function E of vector mode */ - double transfer_neglect_delta_k_V_b; /**< same for polarization source function B of vector mode */ - double transfer_neglect_delta_k_T_t2; /**< same for temperature source function T2 of tensor mode */ - double transfer_neglect_delta_k_T_e; /**< same for polarization source function E of tensor mode */ - double transfer_neglect_delta_k_T_b; /**< same for polarization source function B of tensor mode */ - - double transfer_neglect_late_source; /**< value of l below which the CMB source functions can be neglected at late time, excepted when there is a Late ISW contribution */ - - /** when to use the Limber approximation for project gravitational potential cl's */ - double l_switch_limber; - - /** when to use the Limber approximation for local number count contributions to cl's (relative to central redshift of each bin) */ - double l_switch_limber_for_nc_local_over_z; - - /** when to use the Limber approximation for number count contributions to cl's integrated along the line-of-sight (relative to central redshift of each bin) */ - double l_switch_limber_for_nc_los_over_z; - - /** in sigma units, where to cut gaussian selection functions */ - double selection_cut_at_sigma; - - /** controls sampling of integral over time when selection functions vary quicker than Bessel functions. Increase for better sampling. */ - double selection_sampling; - - /** controls sampling of integral over time when selection functions vary slower than Bessel functions. Increase for better sampling */ - double selection_sampling_bessel; - - /** controls sampling of integral over time when selection functions vary slower than Bessel functions. This parameter is specific to number counts contributions to Cl integrated along the line of sight. Increase for better sampling */ - double selection_sampling_bessel_los; - - /** controls how smooth are the edge of top-hat window function (<<1 for very sharp, 0.1 for sharp) */ - double selection_tophat_edge; - - //@} - - /** @name - parameters related to non-linear computations */ - - //@{ - - /** parameters relevant for HALOFIT computation */ - - double halofit_min_k_nonlinear; /**< value of k in 1/Mpc below which - non-linear corrections will be neglected */ - - double halofit_min_k_max; /**< when halofit is used, k_max must be - at least equal to this value (otherwise - halofit could not find the scale of - non-linearity). Calculations are done - internally until this k_max, but the - output is still controlled by - P_k_max_1/Mpc or P_k_max_h/Mpc even if - they are smaller */ - - double halofit_k_per_decade; /**< halofit needs to evalute integrals - (linear power spectrum times some - kernels). They are sampled using - this logarithmic step size. */ - - double halofit_sigma_precision; /**< a smaller value will lead to a - more precise halofit result at the *highest* - redshift at which halofit can make computations, - at the expense of requiring a larger k_max; but - this parameter is not relevant for the - precision on P_nl(k,z) at other redshifts, so - there is normally no need to change it */ - - double halofit_tol_sigma; /**< tolerance required on sigma(R) when - matching the condition sigma(R_nl)=1, - whcih defines the wavenumber of - non-linearity, k_nl=1./R_nl */ - - double pk_eq_z_max; /**< Maximum z until which the Pk_equal method of 0810.0190 and 1601.07230 is used */ - - double pk_eq_tol; /**< tolerance for finding the equivalent models of the pk_equal method */ - - //@} - - /** @name - parameters related to lensing */ - - //@{ - - int accurate_lensing; /**< switch between Gauss-Legendre quadrature integration and simple quadrature on a subdomain of angles */ - int num_mu_minus_lmax; /**< difference between num_mu and l_max, increase for more precision */ - int delta_l_max; /**< difference between l_max in unlensed and lensed spectra */ - double tol_gauss_legendre; /**< tolerance with which quadrature points are found: must be very small for an accurate integration (if not entered manually, set automatically to match machine precision) */ - //@} + #define __ALLOCATE_PRECISION_PARAMETER__ + #include "precisions.h" + #undef __ALLOCATE_PRECISION_PARAMETER__ /** @name - general precision parameters */ @@ -832,5 +433,4 @@ struct precision }; - #endif diff --git a/include/dei_rkck.h b/include/dei_rkck.h old mode 100755 new mode 100644 diff --git a/include/distortions.h b/include/distortions.h new file mode 100644 index 00000000..9cd66f30 --- /dev/null +++ b/include/distortions.h @@ -0,0 +1,302 @@ +/** @file distortions.h Documented module on spectral distortions + * Matteo Lucca, 31.10.2018 + * Nils Schoeneberg, 18.02.2019 + */ + +#ifndef __DISTORTIONS__ +#define __DISTORTIONS__ + +#include "arrays.h" +#include "background.h" +#include "thermodynamics.h" +#include "perturbations.h" +#include "primordial.h" +#include "noninjection.h" + +#define _MAX_DETECTOR_NAME_LENGTH_ 100 +typedef char DetectorName[_MAX_DETECTOR_NAME_LENGTH_]; +typedef char DetectorFileName[_FILENAMESIZE_+_MAX_DETECTOR_NAME_LENGTH_+256]; + +/** List of possible branching ratio approximations */ + +enum br_approx {bra_sharp_sharp,bra_sharp_soft,bra_soft_soft,bra_soft_soft_cons,bra_exact}; + +/** List of possible schemes to compute relativistic contribution from + reionization and structure formatio */ + +enum reio_approx {sd_reio_Nozawa, sd_reio_Chluba}; + +/** + * distorsions structure, containing all the distortion-related parameters and + * evolution that other modules need to know. + */ + +struct distortions +{ + /** @name - input parameters initialized by user in input module + * (all other quantities are computed in this module, given these + * parameters and the content of the 'precision', 'background', + * 'thermodynamics' and 'primordial' structures) */ + + //@{ + + int sd_branching_approx; /**< Which approximation to use for the branching ratios? */ + + int sd_PCA_size; /**< Number of PCA components for the calculation of residual distortions */ + + DetectorFileName sd_detector_file_name; /**< Name of detector list file */ + + DetectorName sd_detector_name; /**< Name of detector */ + double sd_detector_nu_min; /**< Minimum frequency of chosen detector */ + double sd_detector_nu_max; /**< Maximum frequency of chosen detector */ + double sd_detector_nu_delta; /**< Bin size of chosen detector */ + int sd_detector_bin_number; /**< Number of frequency bins of chosen detector */ + double sd_detector_delta_Ic; /**< Sensitivity of the chosen detector */ + + enum reio_approx sd_reio_type; /**< Calculation method for Sunyaev Zeldovich contributions from re-ionization */ + + double sd_add_y; /**< Possible additional y contribution (manually) to the SD signal */ + double sd_add_mu; /**< Possible additional mu contribution (manually) to the SD signal */ + + //@} + + /** @name - Public tables and parameters */ + + //@{ + + /* Parameters related to redshift (z) sampling */ + double z_muy; /**< Redshift of the transition of mu to y era */ + double z_th; /**< Redshift of the transition from thermal shift to mu era */ + + double z_min; /**< Minimum redshift */ + double z_max; /**< Maximum redshift */ + int z_size; /**< Lenght of redshift array */ + double z_delta; /**< Redshift intervals */ + double * z; /**< Redshift list z[index_z] = list of values */ + + double * z_weights; /**< Weights for integration over z */ + + /* Can be specified if no noisefile */ + double x_min; /**< Minimum dimentionless frequency */ + double x_max; /**< Maximum dimentionless frequency */ + double x_delta; /**< dimentionless frequency intervals */ + + /* Will always be specified */ + int x_size; /**< Lenght of dimentionless frequency array */ + double * x; /**< Dimensionless frequency x[index_x] = list of values */ + double * x_weights; /**< Weights for integration over x */ + + /* Unit conversions */ + double x_to_nu; /**< Conversion factor nu[GHz] = x_to_nu * x */ + double DI_units; /**< Conversion from unitless DI to DI[10^26 W m^-2 Hz^-1 sr^-1] */ + + /* File names for the PCA */ + char sd_detector_noise_file[2*_FILENAMESIZE_+_MAX_DETECTOR_NAME_LENGTH_+256]; /**< Full path of detector noise file */ + DetectorFileName sd_PCA_file_generator; /**< Full path of PCA generator file */ + DetectorFileName sd_detector_list_file; /**< Full path of detector list file */ + + + /* Tables storing branching ratios, distortions amplitudes and spectral distoritons for all types of distortios */ + double ** br_table; /**< Branching ratios br_table[index_type][index_z] */ + double * sd_parameter_table; /**< Spectral Distortion parameters (g,mu,y,r) sd_parameter_table[index_type] */ + double ** sd_shape_table; /**< Spectral Distortion shapes (G,M,Y,R) sd_shape_table[index_type][index_x] */ + double ** sd_table; /**< Spectral Distortion Intensities (final deltaI seperated by component) sd_table[index_type][index_x] */ + + /* indices for the type of distortion */ + int index_type_g; /**< temperature shift/g type distortion */ + int index_type_mu; /**< mu type distortion */ + int index_type_y; /**< y type distortion */ + int index_type_PCA; /**< PCA type distortion (first index) */ + int type_size; /**< Number of total components for the type array */ + + /* Total distortion amplitude for residual distortions */ + double epsilon; + + /* Total heating function */ + double * dQrho_dz_tot; + + /* Total heating rate */ + double Drho_over_rho; + + /* Total spectral distortion */ + double * DI; /**< DI[index_x] = list of values */ + + /* Variables to read, allocate and interpolate external file branching_ratios_exact.dat */ + double * br_exact_z; /**< Redshift array for reading from file br_exact_z[index_z] */ + int br_exact_Nz; /**< Number of redshift values for reading from file */ + + double * f_g_exact; /**< temperature shift/g distortion branching ratio f_g_exact[index_z] */ + double * ddf_g_exact; /**< second derivative of the above ddf_g_exact[index_z] */ + double * f_y_exact; /**< y distortion branching ratio f_y_exact[index_z] */ + double * ddf_y_exact; /**< second derivative of the above ddf_y_exact[index_z] */ + double * f_mu_exact; /**< mu distortion shape branching ratio f_mu_exact[index_z] */ + double * ddf_mu_exact; /**< second derivative of the above ddf_mu_exact[index_z] */ + + double * E_vec; /**< PCA component E branching ratio for reading from file E_vec[index_e*br_exact_Nz+index_z] with index_e=[1..8] */ + double * ddE_vec; /**< second derivative of the above ddE_vec[index_e*br_exact_Nz+index_z] */ + int E_vec_size; /**< number of PCA component E branching ratios */ + + /* Variable to read, allocate and interpolate external file PCA_distortions_schape.dat */ + double * PCA_nu; /**< Frquency array for reading from file PCA_nu[index_nu] */ + int PCA_Nnu; /**< Number of frequency values for reading from file */ + + double * PCA_G_T; /**< temperature shift/g distortion shape PCA_G_T[index_nu] */ + double * ddPCA_G_T; /**< second derivative of the above ddPCA_G_T[index_nu] */ + double * PCA_Y_SZ; /**< y distortion shape PCA_Y_SZ[index_nu] */ + double * ddPCA_Y_SZ; /**< second derivative of the above ddPCA_Y_SZ[index_nu] */ + double * PCA_M_mu; /**< mu distortion shape PCA_M_mu[index_nu] */ + double * ddPCA_M_mu; /**< second derivative of the above ddPCA_M_mu[index_nu] */ + + double * S_vec; /**< PCA component S shape for reading from file S_vec[index_s*S_vec_size+index_x] with index_s=[1..8] */ + double * ddS_vec; /**< second derivative of the above ddS_vec[index_s*S_vec_size+index_x] */ + int S_vec_size; /**< number of PCA component S spectral shapes */ + + + double * delta_Ic_array; /**< delta_Ic[index_x] for detectors with given sensitivity in each bin */ + + //@} + + + /** @name - Flags and technical parameters */ + + //@{ + + int has_distortions; /**< do we need to compute spectral distortions? */ + + int has_user_defined_detector; /**< does the user specify their own detector? */ + int has_user_defined_name; /**< does the user specify the name of their detector? */ + + int has_detector_file; /**< do we have a file for the detector specification? */ + + int has_SZ_effect; /**< do we include the SZ effect? */ + + int include_only_exotic; /**< shall we only take exotic injection contributions? */ + int include_g_distortion; /**< shall we include the g distortion in the total distortion ? */ + + int has_noninjected; /**< do we have terms that are not injected (like dissipation of acoustic waves)? */ + + struct noninjection ni; /**< noninjection file structure */ + + short distortions_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ + + ErrorMsg error_message; /**< zone for writing error messages */ + + //@} + +}; + +/*************************************************************************************************************/ +/* @cond INCLUDE_WITH_DOXYGEN */ +/* + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + /* Main functions */ + int distortions_init(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct primordial * ppm, + struct distortions * psd); + + int distortions_constants(struct precision* ppr, + struct background * pba, + struct thermodynamics * pth, + struct distortions * psd); + + int distortions_free(struct distortions * psd); + + /* PCA decomposition (branching ratios and spectral shapes) for unknown detector */ + int distortions_generate_detector(struct precision * ppr, + struct distortions * psd); + + int distortions_set_detector(struct precision * ppr, + struct distortions* psd); + + int distortions_read_detector_noisefile(struct precision * ppr, + struct distortions * psd); + + /* Indices and lists */ + int distortions_indices(struct distortions * psd); + + int distortions_get_xz_lists(struct precision * ppr, + struct background* pba, + struct thermodynamics* pth, + struct distortions* psd); + + /* The main computation methods */ + int distortions_compute_branching_ratios(struct precision * ppr, + struct distortions* psd); + + int distortions_compute_heating_rate(struct precision* ppr, + struct background* pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct primordial * ppm, + struct distortions * psd); + + int distortions_compute_spectral_shapes(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct distortions * psd); + + /* Additional sources of distortions due to recombination and LSS formation */ + int distortions_add_effects_reio(struct background * pba, + struct thermodynamics * pth, + struct distortions * psd, + double T_e, + double Dtau, + double beta, + double beta_z, + double x, + double * y_reio, + double * DI); + + /* PCA decomposition (branching ratios and spectral shapes) for known detector */ + int distortions_read_br_data(struct precision * ppr, + struct distortions * psd); + int distortions_spline_br_data(struct distortions* psd); + int distortions_interpolate_br_data(struct distortions* psd, + double z, + double* f_g, + double* f_y, + double* f_mu, + double* E, + int * last_index); + int distortions_free_br_data(struct distortions * psd); + + int distortions_read_sd_data(struct precision * ppr, + struct distortions * psd); + int distortions_spline_sd_data(struct distortions* psd); + int distortions_interpolate_sd_data(struct distortions* psd, + double nu, + double * G_T, + double * Y_SZ, + double * M_mu, + double * S, + int * index); + int distortions_free_sd_data(struct distortions * psd); + + /* Output */ + int distortions_output_heat_titles(struct distortions * psd, char titles[_MAXTITLESTRINGLENGTH_]); + int distortions_output_heat_data(struct distortions * psd, + int number_of_titles, + double * data); + + int distortions_output_sd_titles(struct distortions * psd, char titles[_MAXTITLESTRINGLENGTH_]); + int distortions_output_sd_data(struct distortions * psd, + int number_of_titles, + double * data); + +#ifdef __cplusplus +} +#endif + +/**************************************************************/ + + +#endif +/* @endcond */ diff --git a/include/evolver_ndf15.h b/include/evolver_ndf15.h old mode 100755 new mode 100644 diff --git a/include/evolver_rkck.h b/include/evolver_rkck.h old mode 100755 new mode 100644 index 9da76c0f..1106a384 --- a/include/evolver_rkck.h +++ b/include/evolver_rkck.h @@ -1,5 +1,5 @@ -#ifndef __EVO__ -#define __EVO__ +#ifndef __EVO_RK__ +#define __EVO_RK__ #include "dei_rkck.h" diff --git a/include/fourier.h b/include/fourier.h new file mode 100644 index 00000000..5841dd98 --- /dev/null +++ b/include/fourier.h @@ -0,0 +1,563 @@ +/** @file fourier.h Documented includes for trg module */ + +#include "primordial.h" +#include "trigonometric_integrals.h" + +#ifndef __FOURIER__ +#define __FOURIER__ + +#define _M_EV_TOO_BIG_FOR_HALOFIT_ 10. /**< above which value of non-CDM mass (in eV) do we stop trusting halofit? */ + +#define _M_SUN_ 1.98847e30 /**< Solar mass in Kg */ + +#define _MAX_NUM_EXTRAPOLATION_ 100000 + +enum non_linear_method {nl_none,nl_halofit,nl_HMcode}; +enum pk_outputs {pk_linear,pk_nonlinear}; + +enum source_extrapolation {extrap_zero,extrap_only_max,extrap_only_max_units,extrap_max_scaled,extrap_hmcode,extrap_user_defined}; + +enum halofit_integral_type {halofit_integral_one, halofit_integral_two, halofit_integral_three}; + +enum hmcode_baryonic_feedback_model {nl_emu_dmonly, nl_owls_dmonly, nl_owls_ref, nl_owls_agn, nl_owls_dblim, nl_user_defined}; +enum out_sigmas {out_sigma,out_sigma_prime,out_sigma_disp}; + +/** + * Structure containing all information on non-linear spectra. + * + * Once initialized by fourier_init(), contains a table for all two points correlation functions + * and for all the ai,bj functions (containing the three points correlation functions), for each + * time and wave-number. + */ + +struct fourier { + + /** @name - input parameters initialized by user in input module + (all other quantities are computed in this module, given these + parameters and the content of the 'precision', 'background', + 'thermo', 'primordial' and 'spectra' structures) */ + + //@{ + + enum non_linear_method method; /**< method for computing non-linear corrections (none, Halogit, etc.) */ + + enum source_extrapolation extrapolation_method; /**< method for analytical extrapolation of sources beyond pre-computed range */ + + enum hmcode_baryonic_feedback_model feedback; /** to choose between different baryonic feedback models + in hmcode (dmonly, gas cooling, Agn or supernova feedback) */ + double c_min; /** for HMcode: minimum concentration in Bullock 2001 mass-concentration relation */ + double eta_0; /** for HMcode: halo bloating parameter */ + double z_infinity; /** for HMcode: z value at which Dark Energy correction is evaluated needs to be at early times (default */ + + short has_pk_eq; /**< flag: in case wa_fld is defined and non-zero, should we use the pk_eq method? */ + + //@} + + /** @name - information on number of modes and pairs of initial conditions */ + + //@{ + + int index_md_scalars; /**< set equal to phr->index_md_scalars + (useful since this module only deals with + scalars) */ + int ic_size; /**< for a given mode, ic_size[index_md] = number of initial conditions included in computation */ + int ic_ic_size; /**< for a given mode, ic_ic_size[index_md] = number of pairs of (index_ic1, index_ic2) with index_ic2 >= index_ic1; this number is just N(N+1)/2 where N = ic_size[index_md] */ + short * is_non_zero; /**< for a given mode, is_non_zero[index_md][index_ic1_ic2] is set to true if the pair of initial conditions (index_ic1, index_ic2) are statistically correlated, or to false if they are uncorrelated */ + + //@} + + /** @name - information on the type of power spectra (_cb, _m...) */ + + //@{ + + short has_pk_m; /**< do we want spectra for total matter? */ + short has_pk_cb; /**< do we want spectra for cdm+baryons? */ + + int index_pk_m; /**< index of pk for matter (defined only when has_pk_m is TRUE) */ + int index_pk_cb; /**< index of pk for cold dark matter plus baryons (defined only when has_pk_cb is TRUE */ + + /* and two redundent but useful indices: */ + + int index_pk_total; /**< always equal to index_pk_m + (always defined, useful e.g. for weak lensing spectrum) */ + int index_pk_cluster; /**< equal to index_pk_cb if it exists, otherwise to index_pk_m + (always defined, useful e.g. for galaxy clustering spectrum) */ + + int pk_size; /**< k_size = total number of pk */ + + //@} + + /** @name - arrays for the Fourier power spectra P(k,tau) */ + + //@{ + + short has_pk_matter; /**< do we need matter Fourier spectrum? */ + + int k_size; /**< k_size = total number of k values */ + int k_size_pk; /**< k_size = number of k values for P(k,z) and T(k,z) output) */ + double * k; /**< k[index_k] = list of k values */ + double * ln_k; /**< ln_k[index_k] = list of log(k) values */ + + double * ln_tau; /**< log(tau) array, only needed if user wants + some output at z>0, instead of only z=0. This + array only covers late times, used for the + output of P(k) or T(k), and matching the + condition z(tau) < z_max_pk */ + + int ln_tau_size; /**< total number of values in this array */ + + double ** ln_pk_ic_l; /**< Matter power spectrum (linear). + Depends on indices index_pk, index_ic1_ic2, index_k, index_tau as: + ln_pk_ic_l[index_pk][(index_tau * pfo->k_size + index_k)* pfo->ic_ic_size + index_ic1_ic2] + where index-pk labels P(k) types (m = total matter, cb = baryons+CDM), + while index_ic1_ic2 labels ordered pairs (index_ic1, index_ic2) (since + the primordial spectrum is symmetric in (index_ic1, index_ic2)). + - for diagonal elements (index_ic1 = index_ic2) this arrays contains + ln[P(k)] where P(k) is positive by construction. + - for non-diagonal elements this arrays contains the k-dependent + cosine of the correlation angle, namely + P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] + This choice is convenient since the sign of the non-diagonal cross-correlation + could be negative. For fully correlated or anti-correlated initial conditions, + this non-diagonal element is independent on k, and equal to +1 or -1. + */ + + double ** ddln_pk_ic_l; /**< second derivative of above array with respect to log(tau), for spline interpolation. So: + - for index_ic1 = index_ic, we spline ln[P(k)] vs. ln(k), which is + good since this function is usually smooth. + - for non-diagonal coefficients, we spline + P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] + vs. ln(k), which is fine since this quantity is often assumed to be + constant (e.g for fully correlated/anticorrelated initial conditions) + or nearly constant, and with arbitrary sign. + */ + + double ** ln_pk_l; /**< Total matter power spectrum summed over initial conditions (linear). + Only depends on indices index_pk,index_k, index_tau as: + ln_pk[index_pk][index_tau * pfo->k_size + index_k] + */ + + double ** ddln_pk_l; /**< second derivative of above array with respect to log(tau), for spline interpolation. */ + + double ** ln_pk_nl; /**< Total matter power spectrum summed over initial conditions (nonlinear). + Only depends on indices index_pk,index_k, index_tau as: + ln_pk[index_pk][index_tau * pfo->k_size + index_k] + */ + + double ** ddln_pk_nl; /**< second derivative of above array with respect to log(tau), for spline interpolation. */ + + double * sigma8; /**< sigma8[index_pk] */ + + //@} + + /** @name - table non-linear corrections for matter density, sqrt(P_NL(k,z)/P_NL(k,z)) */ + + //@{ + + int k_size_extra;/** total number of k values of extrapolated k array (high k)*/ + + int tau_size; /**< tau_size = number of values */ + double * tau; /**< tau[index_tau] = list of time values, covering + all the values of the perturbation module */ + + double ** nl_corr_density; /**< nl_corr_density[index_pk][index_tau * ppt->k_size + index_k] */ + double ** k_nl; /**< wavenumber at which non-linear corrections become important, + defined differently by different non_linear_method's */ + int index_tau_min_nl; /**< index of smallest value of tau at which nonlinear corrections have been computed + (so, for tau= index_ic1; this number is just N(N+1)/2 where N = ic_size[index_md] */ + short ** is_non_zero; /**< for a given mode, is_non_zero[index_md][index_ic1_ic2] is set to true if the pair of initial conditions (index_ic1, index_ic2) are statistically correlated, or to false if they are uncorrelated */ + + //@} + + /** @name - information on number of type of C_l's (TT, TE...) */ + + //@{ + + int has_tt; /**< do we want \f$ C_l^{TT}\f$? (T = temperature) */ + int has_ee; /**< do we want \f$ C_l^{EE}\f$? (E = E-polarization) */ + int has_te; /**< do we want \f$ C_l^{TE}\f$? */ + int has_bb; /**< do we want \f$ C_l^{BB}\f$? (B = B-polarization) */ + int has_pp; /**< do we want \f$ C_l^{\phi\phi}\f$? (\f$ \phi \f$ = CMB lensing potential) */ + int has_tp; /**< do we want \f$ C_l^{T\phi}\f$? */ + int has_ep; /**< do we want \f$ C_l^{E\phi}\f$? */ + int has_dd; /**< do we want \f$ C_l^{dd}\f$? (d = density) */ + int has_td; /**< do we want \f$ C_l^{Td}\f$? */ + int has_pd; /**< do we want \f$ C_l^{\phi d}\f$? */ + int has_ll; /**< do we want \f$ C_l^{ll}\f$? (l = galaxy lensing potential) */ + int has_tl; /**< do we want \f$ C_l^{Tl}\f$? */ + int has_dl; /**< do we want \f$ C_l^{dl}\f$? */ + + int index_ct_tt; /**< index for type \f$ C_l^{TT} \f$*/ + int index_ct_ee; /**< index for type \f$ C_l^{EE} \f$*/ + int index_ct_te; /**< index for type \f$ C_l^{TE} \f$*/ + int index_ct_bb; /**< index for type \f$ C_l^{BB} \f$*/ + int index_ct_pp; /**< index for type \f$ C_l^{\phi\phi} \f$*/ + int index_ct_tp; /**< index for type \f$ C_l^{T\phi} \f$*/ + int index_ct_ep; /**< index for type \f$ C_l^{E\phi} \f$*/ + int index_ct_dd; /**< first index for type \f$ C_l^{dd} \f$((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values) */ + int index_ct_td; /**< first index for type \f$ C_l^{Td} \f$(d_size values) */ + int index_ct_pd; /**< first index for type \f$ C_l^{pd} \f$(d_size values) */ + int index_ct_ll; /**< first index for type \f$ C_l^{ll} \f$((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values) */ + int index_ct_tl; /**< first index for type \f$ C_l^{Tl} \f$(d_size values) */ + int index_ct_dl; /**< first index for type \f$ C_l^{dl} \f$(d_size values) */ + + int d_size; /**< number of bins for which density Cl's are computed */ + + int ct_size; /**< number of \f$ C_l \f$ types requested */ + + //@} + + /** @name - table of pre-computed C_l values, and related quantities */ + + //@{ + + int * l_size; /**< number of multipole values for each requested mode, l_size[index_md] */ + + int l_size_max; /**< greatest of all l_size[index_md] */ + + double * l; /**< list of multipole values l[index_l] */ + + + int ** l_max_ct; /**< last multipole (given as an input) at which + we want to output \f$ C_l\f$'s for a given mode and type; + l[index_md][l_size[index_md]-1] can be larger + than l_max[index_md], in order to ensure a + better interpolation with no boundary effects */ + + int * l_max; /**< last multipole (given as an input) at which + we want to output \f$ C_l\f$'s for a given mode (maximized over types); + l[index_md][l_size[index_md]-1] can be larger + than l_max[index_md], in order to ensure a + better interpolation with no boundary effects */ + + int l_max_tot; /**< last multipole (given as an input) at which + we want to output \f$ C_l\f$'s (maximized over modes and types); + l[index_md][l_size[index_md]-1] can be larger + than l_max[index_md], in order to ensure a + better interpolation with no boundary effects */ + + double ** cl; /**< table of anisotropy spectra for each mode, multipole, pair of initial conditions and types, cl[index_md][(index_l * phr->ic_ic_size[index_md] + index_ic1_ic2) * phr->ct_size + index_ct] */ + double ** ddcl; /**< second derivatives of previous table with respect to l, in view of spline interpolation */ + + //@} + + /** @name - technical parameters */ + + //@{ + + struct fourier * pfo; /**< a pointer to the fourier structure is + stored in the harmonic structure. This odd, + unusual and unelegant feature has been + introduced in v2.8 in order to keep in use + some deprecated functions harmonic_pk_...() + that are now pointing at new function + fourier_pk_...(). In the future, if the + deprecated functions are removed, it will + be possible to remove also this pointer. */ + + short harmonic_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ + + ErrorMsg error_message; /**< zone for writing error messages */ + + //@} +}; + +/*************************************************************************************************************/ +/* @cond INCLUDE_WITH_DOXYGEN */ +/* + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + /* external functions (meant to be called from other modules) */ + + int harmonic_cl_at_l( + struct harmonic * phr, + double l, + double * cl, + double ** cl_md, + double ** cl_md_ic + ); + + /* internal functions */ + + int harmonic_init( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct primordial * ppm, + struct fourier *pfo, + struct transfer * ptr, + struct harmonic * phr + ); + + int harmonic_free( + struct harmonic * phr + ); + + int harmonic_indices( + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr + ); + + int harmonic_cls( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr + ); + + int harmonic_compute_cl( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr, + int index_md, + int index_ic1, + int index_ic2, + int index_l, + int cl_integrand_num_columns, + double * cl_integrand, + double * cl_integrand_limber, + double * primordial_pk, + double * transfer_ic1, + double * transfer_ic2 + ); + + int harmonic_k_and_tau( + struct background * pba, + struct perturbations * ppt, + struct fourier *pfo, + struct harmonic * phr + ); + + /* deprecated functions (since v2.8) */ + + int harmonic_pk_at_z( + struct background * pba, + struct harmonic * phr, + enum linear_or_logarithmic mode, + double z, + double * output_tot, + double * output_ic, + double * output_cb_tot, + double * output_cb_ic + ); + + int harmonic_pk_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double k, + double z, + double * pk, + double * pk_ic, + double * pk_cb, + double * pk_cb_ic + ); + + int harmonic_pk_nl_at_z( + struct background * pba, + struct harmonic * phr, + enum linear_or_logarithmic mode, + double z, + double * output_tot, + double * output_cb_tot + ); + + int harmonic_pk_nl_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double k, + double z, + double * pk_tot, + double * pk_cb_tot + ); + + int harmonic_fast_pk_at_kvec_and_zvec( + struct background * pba, + struct harmonic * phr, + double * kvec, + int kvec_size, + double * zvec, + int zvec_size, + double * pk_tot_out, + double * pk_cb_tot_out, + int nonlinear); + + int harmonic_sigma( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double R, + double z, + double *sigma + ); + + int harmonic_sigma_cb( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double R, + double z, + double *sigma_cb + ); + + /* deprecated functions (since v2.1) */ + + int harmonic_tk_at_z( + struct background * pba, + struct harmonic * phr, + double z, + double * output + ); + + int harmonic_tk_at_k_and_z( + struct background * pba, + struct harmonic * phr, + double k, + double z, + double * output + ); + + /* end deprecated functions */ + +#ifdef __cplusplus +} +#endif + +#endif +/* @endcond */ diff --git a/include/hyperspherical.h b/include/hyperspherical.h old mode 100755 new mode 100644 diff --git a/include/input.h b/include/input.h old mode 100755 new mode 100644 index 7302c21d..2206682a --- a/include/input.h +++ b/include/input.h @@ -5,144 +5,213 @@ #include "common.h" #include "parser.h" -#include "quadrature.h" -#include "background.h" -#include "thermodynamics.h" -#include "perturbations.h" -#include "transfer.h" -#include "primordial.h" -#include "spectra.h" -#include "nonlinear.h" -#include "lensing.h" -#include "output.h" + +#define _N_FILEROOT_ 100 /* Number of files that will be not overwritten for a given root */ /* macro for reading parameter values with routines from the parser */ -#define class_read_double(name,destination) \ - do { \ - class_call(parser_read_double(pfc,name,¶m1,&flag1,errmsg), \ - errmsg, \ - errmsg); \ - if (flag1 == _TRUE_) \ - destination = param1; \ + +#define class_read_double(name,destination) \ + do { \ + double param_temp; int flag_temp; \ + class_call(parser_read_double(pfc,name,¶m_temp,&flag_temp,errmsg), \ + errmsg, \ + errmsg); \ + if (flag_temp == _TRUE_){ \ + destination = param_temp; \ + } \ } while(0); -#define class_read_int(name,destination) \ - do { \ - class_call(parser_read_int(pfc,name,&int1,&flag1,errmsg), \ - errmsg, \ - errmsg); \ - if (flag1 == _TRUE_) \ - destination = int1; \ +#define class_read_int(name,destination) \ + do { \ + int int_temp,flag_temp; \ + class_call(parser_read_int(pfc,name,&int_temp,&flag_temp,errmsg), \ + errmsg, \ + errmsg); \ + if (flag_temp == _TRUE_){ \ + destination = int_temp; \ + } \ } while(0); -#define class_read_string(name,destination) \ - do { \ - class_call(parser_read_string(pfc,name,&string1,&flag1,errmsg), \ - errmsg, \ - errmsg); \ - if (flag1 == _TRUE_) \ - strcpy(destination,string1); \ +#define class_read_string(name,destination) \ + do { \ + char string_temp[_ARGUMENT_LENGTH_MAX_]; int flag_temp; \ + class_call(parser_read_string(pfc,name,&string_temp,&flag_temp,errmsg), \ + errmsg, \ + errmsg); \ + if (flag_temp == _TRUE_){ \ + strcpy(destination,string_temp); \ + } \ } while(0); -#define class_read_double_one_of_two(name1,name2,destination) \ - do { \ - class_call(parser_read_double(pfc,name1,¶m1,&flag1,errmsg), \ - errmsg, \ - errmsg); \ - class_call(parser_read_double(pfc,name2,¶m2,&flag2,errmsg), \ - errmsg, \ - errmsg); \ - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), \ - errmsg, \ - "In input file, you can only enter one of %s, %s, choose one", \ - name1,name2); \ - if (flag1 == _TRUE_) \ - destination = param1; \ - if (flag2 == _TRUE_) \ - destination = param2; \ +#define class_read_flag(name,destination) \ + do { \ + char string_temp[_ARGUMENT_LENGTH_MAX_]; int flag_temp; \ + class_call(parser_read_string(pfc,name,&string_temp,&flag_temp,errmsg), \ + errmsg, \ + errmsg); \ + if (flag_temp == _TRUE_){ \ + if (string_begins_with(string_temp,'y') \ + || string_begins_with(string_temp,'Y') ){ \ + destination = _TRUE_; \ + } \ + else if (string_begins_with(string_temp,'n') \ + || string_begins_with(string_temp,'N') ){ \ + destination = _FALSE_; \ + } \ + else { \ + class_stop(errmsg,"incomprehensible input '%s' for the field '%s'.", \ + string_temp, name); \ + } \ + } \ } while(0); -#define class_at_least_two_of_three(a,b,c) \ - ((a == _TRUE_) && (b == _TRUE_)) || \ - ((a == _TRUE_) && (c == _TRUE_)) || \ - ((b == _TRUE_) && (c == _TRUE_)) +#define class_read_flag_or_deprecated(name,oldname,destination) \ + do { \ + char string_temp[_ARGUMENT_LENGTH_MAX_]; int flag_temp; \ + class_call(parser_read_string(pfc,name,&string_temp,&flag_temp,errmsg), \ + errmsg, \ + errmsg); \ + /* Compatibility code BEGIN */ \ + if (flag_temp == _FALSE_){ \ + class_call(parser_read_string(pfc,oldname,&string_temp,&flag_temp,errmsg),\ + errmsg, \ + errmsg); \ + } \ + /* Compatibility code END */ \ + if (flag_temp == _TRUE_){ \ + if (string_begins_with(string_temp,'y') \ + || string_begins_with(string_temp,'Y') ){ \ + destination = _TRUE_; \ + } \ + else if (string_begins_with(string_temp,'n') \ + || string_begins_with(string_temp,'N') ){ \ + destination = _FALSE_; \ + } \ + else { \ + class_stop(errmsg,"incomprehensible input '%s' for the field '%s'.", \ + string_temp, name); \ + } \ + } \ + } while(0); -#define class_none_of_three(a,b,c) \ - (a == _FALSE_) && (b == _FALSE_) && (c == _FALSE_) +#define class_read_double_one_of_two(name1,name2,destination) \ + do { \ + int flag_temp1,flag_temp2; \ + double param_temp1,param_temp2; \ + class_call(parser_read_double(pfc,name1,¶m_temp1,&flag_temp1,errmsg), \ + errmsg, \ + errmsg); \ + class_call(parser_read_double(pfc,name2,¶m_temp2,&flag_temp2,errmsg), \ + errmsg, \ + errmsg); \ + class_test((flag_temp1 == _TRUE_) && (flag_temp2 == _TRUE_), \ + errmsg, \ + "You can only enter one of '%s' or '%s'.", \ + name1,name2); \ + if (flag_temp1 == _TRUE_){ \ + destination = param_temp1; \ + } \ + if (flag_temp2 == _TRUE_){ \ + destination = param_temp2; \ + } \ + } while(0); -/* macro for reading parameter values with routines from the parser */ -#define class_read_list_of_doubles_or_default(name,destination,default,siz) \ - do { \ - class_call(parser_read_list_of_doubles(pfc,name, \ - &entries_read,&(destination),&flag1,errmsg), \ - errmsg, \ - errmsg); \ - if (flag1 == _TRUE_){ \ - class_test(entries_read != siz,errmsg, \ - "Number of entries in %s, %d, does not match expected number, %d.", \ - name,entries_read,siz); \ - }else{ \ - class_alloc(destination,siz*sizeof(double),errmsg); \ - for(n=0; nlt_size + index_lt] */ + multipole and types, + cl[index_l * ple->lt_size + index_lt] */ double * ddcl_lens; /**< second derivatives for interpolation */ @@ -108,10 +108,10 @@ extern "C" { ); int lensing_init( - struct precision * ppr, - struct perturbs * ppt, - struct spectra * psp, - struct nonlinear * pnl, + struct precision * ppr, + struct perturbations * ppt, + struct harmonic * phr, + struct fourier * pfo, struct lensing * ple ); @@ -120,18 +120,18 @@ extern "C" { ); int lensing_indices( - struct precision * ppr, - struct spectra * psp, + struct precision * ppr, + struct harmonic * phr, struct lensing * ple ); int lensing_lensed_cl_tt( - double *ksi, - double **d00, - double *w8, - int nmu, - struct lensing * ple - ); + double *ksi, + double **d00, + double *w8, + int nmu, + struct lensing * ple + ); int lensing_lensed_cl_te( double *ksiX, @@ -142,29 +142,29 @@ extern "C" { ); int lensing_lensed_cl_ee_bb( - double *ksip, - double *ksim, - double **d22, - double **d2m2, - double *w8, - int nmu, - struct lensing * ple - ); + double *ksip, + double *ksim, + double **d22, + double **d2m2, + double *w8, + int nmu, + struct lensing * ple + ); int lensing_addback_cl_tt( - struct lensing *ple, - double *cl_tt - ); + struct lensing *ple, + double *cl_tt + ); int lensing_addback_cl_te( - struct lensing *ple, - double *cl_te - ); + struct lensing *ple, + double *cl_te + ); int lensing_addback_cl_ee_bb( - struct lensing *ple, - double *cl_ee, - double *cl_bb - ); + struct lensing *ple, + double *cl_ee, + double *cl_bb + ); int lensing_X000( @@ -200,12 +200,12 @@ extern "C" { ); int lensing_Xp022( - double * mu, - int num_mu, - int lmax, - double * sigma2, - double ** Xp022 - ); + double * mu, + int num_mu, + int lmax, + double * sigma2, + double ** Xp022 + ); int lensing_X121( double * mu, @@ -260,25 +260,25 @@ extern "C" { ); int lensing_d22( - double * mu, - int num_mu, - int lmax, - double ** d22 - ); + double * mu, + int num_mu, + int lmax, + double ** d22 + ); int lensing_d20( - double * mu, - int num_mu, - int lmax, - double ** d20 - ); + double * mu, + int num_mu, + int lmax, + double ** d20 + ); int lensing_d31( - double * mu, - int num_mu, - int lmax, - double ** d3m1 - ); + double * mu, + int num_mu, + int lmax, + double ** d3m1 + ); int lensing_d3m1( double * mu, @@ -295,11 +295,11 @@ extern "C" { ); int lensing_d40( - double * mu, - int num_mu, - int lmax, - double ** d40 - ); + double * mu, + int num_mu, + int lmax, + double ** d40 + ); int lensing_d4m2( double * mu, @@ -320,4 +320,4 @@ extern "C" { #endif #endif -/* @endcond */ \ No newline at end of file +/* @endcond */ diff --git a/include/macros_precision.h b/include/macros_precision.h new file mode 100644 index 00000000..d54770db --- /dev/null +++ b/include/macros_precision.h @@ -0,0 +1,45 @@ +/** + * This file should not be modified + * */ + +#ifdef __ASSIGN_DEFAULT_PRECISION__ +#define class_precision_parameter(NAME,TYPE,DEF_VALUE) \ +ppr->NAME = DEF_VALUE; +#endif +#ifdef __ALLOCATE_PRECISION_PARAMETER__ +#define class_precision_parameter(NAME,TYPE,DEF_VALUE) \ +TYPE NAME; +#endif +#ifdef __PARSE_PRECISION_PARAMETER__ +#define class_precision_parameter(NAME,TYPE,DEF_VALUE) \ +class_read_ ## TYPE(#NAME,ppr->NAME); +#endif + + +#ifdef __ASSIGN_DEFAULT_PRECISION__ +#define class_string_parameter(NAME,DIR,STRING) \ +sprintf(ppr->NAME,__CLASSDIR__); \ +strcat(ppr->NAME,DIR); +#endif +#ifdef __ALLOCATE_PRECISION_PARAMETER__ +#define class_string_parameter(NAME,DIR,STRING) \ +FileName NAME; +#endif +#ifdef __PARSE_PRECISION_PARAMETER__ +#define class_string_parameter(NAME,DIR,STRING) \ +class_read_string(STRING,ppr->NAME); +#endif + + +#ifdef __ASSIGN_DEFAULT_PRECISION__ +#define class_type_parameter(NAME,READ_TP,REAL_TP,DEF_VAL) \ +ppr->NAME = DEF_VAL; +#endif +#ifdef __ALLOCATE_PRECISION_PARAMETER__ +#define class_type_parameter(NAME,READ_TP,REAL_TP,DEF_VAL) \ +REAL_TP NAME; +#endif +#ifdef __PARSE_PRECISION_PARAMETER__ +#define class_type_parameter(NAME,READ_TP,REAL_TP,DEF_VAL) \ +class_read_ ## READ_TP(#NAME,ppr->NAME); +#endif diff --git a/include/nonlinear.h b/include/nonlinear.h deleted file mode 100755 index 58fa64a4..00000000 --- a/include/nonlinear.h +++ /dev/null @@ -1,167 +0,0 @@ -/** @file nonlinear.h Documented includes for trg module */ - -#include "primordial.h" - -#ifndef __NONLINEAR__ -#define __NONLINEAR__ - -#define _M_EV_TOO_BIG_FOR_HALOFIT_ 10. /**< above which value of non-CDM mass (in eV) do we stop trusting halofit? */ - -enum non_linear_method {nl_none,nl_halofit}; -enum halofit_integral_type {halofit_integral_one, halofit_integral_two, halofit_integral_three}; - -/** - * Structure containing all information on non-linear spectra. - * - * Once initialized by nonlinear_init(), contains a table for all two points correlation functions - * and for all the ai,bj functions (containing the three points correlation functions), for each - * time and wave-number. - */ - -struct nonlinear { - - /** @name - input parameters initialized by user in input module - (all other quantities are computed in this module, given these - parameters and the content of the 'precision', 'background', - 'thermo', 'primordial' and 'spectra' structures) */ - - //@{ - - enum non_linear_method method; /**< method for computing non-linear corrections (none, Halogit, etc.) */ - - //@} - - /** @name - table non-linear corrections for matter density, sqrt(P_NL(k,z)/P_NL(k,z)) */ - - //@{ - - short has_pk_m; /**< do we want nonlinear corrections for total matter? */ - short has_pk_cb; /**< do we want nonlinear corrections for cdm+baryons? */ - - int index_pk_m; /**< index of pk for matter */ - int index_pk_cb; /**< index of pk for cold dark matter plus baryons */ - int pk_size; /**< k_size = total number of pk */ - - int k_size; /**< k_size = total number of k values */ - double * k; /**< k[index_k] = list of k values */ - - int tau_size; /**< tau_size = number of values */ - double * tau; /**< tau[index_tau] = list of time values */ - - double ** nl_corr_density; /**< nl_corr_density[index_pk][index_tau * ppt->k_size + index_k] */ - double ** k_nl; /**< wavenumber at which non-linear corrections become important, - defined differently by different non_linear_method's */ - int index_tau_min_nl; /**< index of smallest value of tau at which nonlinear corrections have been computed - (so, for tau> future_output; + +// To be called without arguments AFTER ANY parallel loop in order to actually execute the jobs. +// NEEDS TO BE CALLED BEFORE USING THE RESULTS! +#define class_finish_parallel() \ +for (std::future& future : future_output) { \ + if(future.get()!=_SUCCESS_) return _FAILURE_; \ +} \ +future_output.clear(); + +// +// thread_pool.h +// ppCLASS +// +// Created by Thomas Tram on 02/03/2020. +// Copyright 2020 Aarhus University. All rights reserved. +// +#ifndef THREAD_POOL_H +#define THREAD_POOL_H +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace Tools { + +class NotificationQueue { +public: + bool TryPop(std::function& x) { + std::unique_lock lock(mutex_, std::try_to_lock); + if (!lock || queue_.empty()) { + return false; + } + x = std::move(queue_.front()); + queue_.pop_front(); + return true; + } + + bool Pop(std::function& x) { + std::unique_lock lock(mutex_); + while (queue_.empty() && !done_) { + ready_.wait(lock); + } + if (queue_.empty()) { + return false; + } + x = std::move(queue_.front()); + queue_.pop_front(); + return true; + } + + template + bool TryPush(F&& f) { + { + std::unique_lock lock(mutex_, std::try_to_lock); + if (!lock) { + return false; + } + queue_.emplace_back(std::forward(f)); + } + ready_.notify_one(); + return true; + } + + template + void Push(F&& f) { + { + std::unique_lock lock(mutex_); + queue_.emplace_back(std::forward(f)); + } + ready_.notify_one(); + } + + void Done() { + { + std::unique_lock lock(mutex_); + done_ = true; + } + ready_.notify_all(); + } +private: + std::deque> queue_; + bool done_ = false; + std::mutex mutex_; + std::condition_variable ready_; +}; + +class TaskSystem { +public: + TaskSystem(unsigned int count = GetNumThreads()) + : count_(count) + , index_(0) + , queues_{count_} { + for (unsigned int n = 0; n < count_; ++n) { + threads_.emplace_back([&, n]{ Run(n); }); + } + } + + ~TaskSystem() { + for (auto& e : queues_) e.Done(); + for (auto& e : threads_) e.join(); + } + + static unsigned int GetNumThreads() { + unsigned int number_of_threads = std::thread::hardware_concurrency(); + for (const std::string& env_var_name : {"OMP_NUM_THREADS", "SLURM_CPUS_PER_TASK"}) { + if (char* s = std::getenv(env_var_name.c_str())) { + int threads = std::atoi(s); + if ((threads > 0) && (threads <= 8192)) { + number_of_threads = threads; + break; + } + } + } + return number_of_threads; + } + + template + void Async(F&& f) { + auto i = index_++; + for (unsigned int n = 0; n < count_; ++n) { + if (queues_[(i + n) % count_].TryPush(std::forward(f))) { + return; + } + } + queues_[i % count_].Push(std::forward(f)); + } + + template + std::future::type> AsyncTask(F&& f) { + using return_type = typename std::result_of::type; + auto task = std::make_shared>(f); + std::future res = task->get_future(); + + auto work = [task](){ (*task)(); }; + unsigned int i = index_++; + for(unsigned int n = 0; n < count_; ++n) { + if(queues_[(i + n) % count_].TryPush(work)){ + return res; + } + } + queues_[i % count_].Push(work); + + return res; + } + + template + std::future::type> AsyncTask(F&& f, Args&&... args) { + using return_type = typename std::result_of::type; + auto task = std::make_shared>(std::bind(std::forward(f), std::forward(args)...)); + std::future res = task->get_future(); + + auto work = [task](){ (*task)(); }; + unsigned int i = index_++; + for(unsigned int n = 0; n < count_; ++n) { + if(queues_[(i + n) % count_].TryPush(work)){ + return res; + } + } + queues_[i % count_].Push(work); + + return res; + } + + unsigned int get_num_threads(){ + return count_; + } + +private: + void Run(unsigned int i) { + while (true) { + std::function f; + for (unsigned n = 0; n != count_; ++n) { + if (queues_[(i + n) % count_].TryPop(f)) { + break; + } + } + if (!f && !queues_[i].Pop(f)) { + break; + } + f(); + } + } + + const unsigned int count_; + std::vector threads_; + std::atomic index_; + std::vector queues_; +}; + +} +#endif diff --git a/include/parser.h b/include/parser.h index 0a7da143..1214231a 100644 --- a/include/parser.h +++ b/include/parser.h @@ -12,9 +12,9 @@ typedef char FileArg[_ARGUMENT_LENGTH_MAX_]; struct file_content { char * filename; int size; - FileArg * name; /**< list of (size) names */ - FileArg * value; /**< list of (size) values */ - short * read; /**< set to _TRUE_ if this parameter is effectively read */ + FileArg * name; /**< list of (size) names */ + FileArg * value; /**< list of (size) values */ + short * read; /**< set to _TRUE_ if this parameter is effectively read */ }; /**************************************************************/ @@ -26,97 +26,79 @@ struct file_content { extern "C" { #endif -int parser_read_file( - char * filename, - struct file_content * pfc, - ErrorMsg errmsg - ); - -int parser_init( - struct file_content * pfc, - int size, - char * filename, - ErrorMsg errmsg - ); - -int parser_free( - struct file_content * pfc - ); - -int parser_read_line( - char * line, - int * is_data, - char * name, - char * value, - ErrorMsg errmsg - ); - -int parser_read_int( - struct file_content * pfc, - char * name, - int * value, - int * found, - ErrorMsg errmsg - ); - -int parser_read_double( - struct file_content * pfc, - char * name, - double * value, - int * found, - ErrorMsg errmsg - ); - - int parser_read_double_and_position( - struct file_content * pfc, + int parser_init(struct file_content * pfc, + int size, + char * filename, + ErrorMsg errmsg); + + int parser_free(struct file_content * pfc); + + + int parser_read_file(char * filename, + struct file_content * pfc, + ErrorMsg errmsg); + + int parser_read_line(char * line, + int * is_data, + char * name, + char * value, + ErrorMsg errmsg); + + int parser_read_int(struct file_content * pfc, + char * name, + int * value, + int * found, + ErrorMsg errmsg); + + int parser_read_double(struct file_content * pfc, + char * name, + double * value, + int * found, + ErrorMsg errmsg); + + int parser_read_double_and_position(struct file_content * pfc, char * name, double * value, int * position, int * found, - ErrorMsg errmsg - ); - -int parser_read_string( - struct file_content * pfc, - char * name, - FileArg * value, - int * found, - ErrorMsg errmsg - ); - -int parser_read_list_of_doubles( - struct file_content * pfc, - char * name, - int * size, - double ** pointer_to_list, - int * found, - ErrorMsg errmsg - ); - -int parser_read_list_of_integers( - struct file_content * pfc, - char * name, - int * size, - int ** pointer_to_list, - int * found, - ErrorMsg errmsg - ); - -int parser_read_list_of_strings( - struct file_content * pfc, - char * name, - int * size, - char ** pointer_to_list, - int * found, - ErrorMsg errmsg - ); - -int parser_cat( - struct file_content * pfc1, - struct file_content * pfc2, - struct file_content * pfc3, - ErrorMsg errmsg - ); + ErrorMsg errmsg); + + int parser_read_string(struct file_content * pfc, + char * name, + FileArg * value, + int * found, + ErrorMsg errmsg); + + int parser_read_list_of_doubles(struct file_content * pfc, + char * name, + int * size, + double ** pointer_to_list, + int * found, + ErrorMsg errmsg); + + int parser_read_list_of_integers(struct file_content * pfc, + char * name, + int * size, + int ** pointer_to_list, + int * found, + ErrorMsg errmsg); + + int parser_read_list_of_strings(struct file_content * pfc, + char * name, + int * size, + char ** pointer_to_list, + int * found, + ErrorMsg errmsg); + + int parser_cat(struct file_content * pfc1, + struct file_content * pfc2, + struct file_content * pfc3, + ErrorMsg errmsg); + + int parser_check_options(char * strinput, + char ** options, + int N_options, + int* valid); #ifdef __cplusplus } diff --git a/include/perturbations.h b/include/perturbations.h old mode 100755 new mode 100644 index 8b50a9d2..0ab77751 --- a/include/perturbations.h +++ b/include/perturbations.h @@ -4,9 +4,6 @@ #define __PERTURBATIONS__ #include "thermodynamics.h" -#include "evolver_ndf15.h" -#include "evolver_rkck.h" -#include "rootfinder.h" #define _scalars_ ((ppt->has_scalars == _TRUE_) && (index_md == ppt->index_md_scalars)) #define _vectors_ ((ppt->has_vectors == _TRUE_) && (index_md == ppt->index_md_vectors)) @@ -18,7 +15,7 @@ * flags for various approximation schemes * (tca = tight-coupling approximation, * rsa = radiation streaming approximation, - * ufa = massless neutrinos / ultra-relativistic relics fluid approximation + * ufa = massless neutrinos / ultra-relativistic relics fluid approximation) * qs_smg = quasi-static scalar field approximation) * * CAUTION: must be listed below in chronological order, and cannot be @@ -30,6 +27,8 @@ enum tca_flags {tca_on, tca_off}; enum rsa_flags {rsa_off, rsa_on}; +enum tca_idm_dr_flags {tca_idm_dr_on, tca_idm_dr_off}; +enum rsa_idr_flags {rsa_idr_off, rsa_idr_on}; enum ufa_flags {ufa_off, ufa_on}; enum ncdmfa_flags {ncdmfa_off, ncdmfa_on}; @@ -51,6 +50,8 @@ enum qs_smg_flags {qs_smg_fd_0, qs_smg_qs_1, qs_smg_fd_2, qs_smg_qs_3, qs_smg_fd enum tca_method {first_order_MB,first_order_CAMB,first_order_CLASS,second_order_CRS,second_order_CLASS,compromise_CLASS}; enum rsa_method {rsa_null,rsa_MD,rsa_MD_with_reio,rsa_none}; +enum idr_method {idr_free_streaming,idr_fluid}; /* for the idm-idr case */ +enum rsa_idr_method {rsa_idr_none,rsa_idr_MD}; /* for the idm-idr case */ enum ufa_method {ufa_mb,ufa_hu,ufa_CLASS,ufa_none}; enum ncdmfa_method {ncdmfa_mb,ncdmfa_hu,ncdmfa_CLASS,ncdmfa_none}; enum tensor_methods {tm_photons_only,tm_massless_approximation,tm_exact}; @@ -72,17 +73,15 @@ enum possible_methods_qs_smg { //@{ enum possible_gauges { - newtonian, /**< newtonian (or longitudinal) gauge */ - synchronous /**< synchronous gauge with \f$ \theta_{cdm} = 0 \f$ by convention */ + newtonian, /**< newtonian (or longitudinal) gauge */ + synchronous /**< synchronous gauge with \f$ \theta_{cdm} = 0 \f$ by convention */ }; //@} - -// list of possible initial conditions for the perturbations +// list of possible initial conditions for the perturbations (_smg) enum pert_possible_initial_conditions {single_clock, zero, kin_only, gravitating_attr, ext_field_attr}; - //@{ /** @@ -104,15 +103,6 @@ enum selection_type {gaussian,tophat,dirac}; //@} -// /* coefficients of the Sawicki polynomial -// * needed to find growing mode -// * NOTE: I'm trying that the code does not inline these very long computations -// */ -// double c3_ic_smg; -// double c2_ic_smg; -// double c1_ic_smg; -// double c0_ic_smg; - /** * Structure containing everything about perturbations that other @@ -124,7 +114,7 @@ enum selection_type {gaussian,tophat,dirac}; * */ -struct perturbs +struct perturbations { /** @name - input parameters initialized by user in input module * (all other quantities are computed in this module, given these @@ -165,6 +155,7 @@ struct perturbs short has_density_transfers; /**< do we need to output individual matter density transfer functions? */ short has_velocity_transfers; /**< do we need to output individual matter velocity transfer functions? */ short has_metricpotential_transfers;/**< do we need to output individual transfer functions for scalar metric perturbations? */ + short has_Nbody_gauge_transfers; /**< should we convert density and velocity transfer functions to Nbody gauge? */ short has_nl_corrections_based_on_delta_m; /**< do we want to compute non-linear corrections with an algorithm relying on delta_m (like halofit)? */ @@ -177,7 +168,9 @@ struct perturbs int l_vector_max; /**< maximum l value for CMB vectors \f$ C_l \f$'s */ int l_tensor_max; /**< maximum l value for CMB tensors \f$ C_l \f$'s */ int l_lss_max; /**< maximum l value for LSS \f$ C_l \f$'s (density and lensing potential in bins) */ - double k_max_for_pk; /**< maximum value of k in 1/Mpc in P(k) (if \f$ C_l \f$'s also requested, overseeded by value kmax inferred from l_scalar_max if it is bigger) */ + double k_max_for_pk; /**< maximum value of k in 1/Mpc required for the output of P(k,z) and T(k,z) */ + + short want_lcmb_full_limber; /**< In general, do we want to use the full Limber scheme introduced in v3.2.2? With this full Limber scheme, the calculation of the CMB lensing potential spectrum C_l^phiphi for l > ppr->l_switch_limber is based on a new integration scheme. Compared to the previous scheme, which can be recovered by switching this parameter to _FALSE_, the new scheme uses a larger k_max and a coarser k-grid (or q-grid) than the CMB transfer function. The new scheme is used by default, because the old one is inaccurate at large l due to the too small k_max. */ int selection_num; /**< number of selection functions (i.e. bins) for matter density \f$ C_l \f$'s */ @@ -195,27 +188,17 @@ struct perturbs int store_perturbations; /**< Do we want to store perturbations? */ int k_output_values_num; /**< Number of perturbation outputs (default=0) */ double k_output_values[_MAX_NUMBER_OF_K_FILES_]; /**< List of k values where perturbation output is requested. */ - int *index_k_output_values; /**< List of indices corresponding to k-values close to k_output_values for each mode. [index_md*k_output_values_num+ik]*/ - char scalar_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for scalar perturbation output files. */ - char vector_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for vector perturbation output files. */ - char tensor_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for tensor perturbation output files. */ - int number_of_scalar_titles; /**< number of titles/columns in scalar perturbation output files */ - int number_of_vector_titles; /**< number of titles/columns in vector perturbation output files*/ - int number_of_tensor_titles; /**< number of titles/columns in tensor perturbation output files*/ - - - double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for scalars */ - double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for vectors */ - double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for tensors */ - int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of scalar double pointers */ - int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of vector double pointers */ - int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of tensor double pointers */ double three_ceff2_ur;/**< 3 x effective squared sound speed for the ultrarelativistic perturbations */ double three_cvis2_ur;/**< 3 x effective viscosity parameter for the ultrarelativistic perturbations */ double z_max_pk; /**< when we compute only the matter spectrum / transfer functions, but not the CMB, we are sometimes interested to sample source functions at very high redshift, way before recombination. This z_max_pk will then fix the initial sampling time of the sources. */ + double * alpha_idm_dr; /**< Angular contribution to collisional term at l>=2 for idm_fr-idr */ + double * beta_idr; /**< Angular contribution to collisional term at l>=2 for idr-idr */ + + int idr_nature; /**< Nature of the interacting dark radiation (free streaming or fluid) */ + //@} /** @name - useful flags inferred from the ones above */ @@ -225,6 +208,8 @@ struct perturbs short has_cmb; /**< do we need CMB-related sources (temperature, polarization) ? */ short has_lss; /**< do we need LSS-related sources (lensing potential, ...) ? */ + short has_idm_dr; /**< do we have idm-dr interactions? */ + short has_idm_soundspeed; /**< do we need to consider the dark matter sound speed in interaction models? */ //@} /** @name - gauge in which to perform the calculation */ @@ -266,40 +251,49 @@ struct perturbs //@{ - short has_source_t; /**< do we need source for CMB temperature? */ - short has_source_p; /**< do we need source for CMB polarization? */ - short has_source_delta_m; /**< do we need source for delta of total matter? */ - short has_source_delta_cb; /**< do we ALSO need source for delta of ONLY cdm and baryon? */ + short has_source_t; /**< do we need source for CMB temperature? */ + short has_source_p; /**< do we need source for CMB polarization? */ + short has_source_delta_m; /**< do we need source for delta of total matter? */ + short has_source_delta_cb; /**< do we ALSO need source for delta of ONLY cdm and baryon? */ + short has_source_delta_tot; /**< do we need source for delta total? */ short has_source_delta_g; /**< do we need source for delta of gammas? */ short has_source_delta_b; /**< do we need source for delta of baryons? */ short has_source_delta_cdm; /**< do we need source for delta of cold dark matter? */ + short has_source_delta_idm; /**< do we need source for delta of interacting dark matter */ + short has_source_delta_idr; /**< do we need source for delta of interacting dark radiation? */ short has_source_delta_dcdm; /**< do we need source for delta of DCDM? */ short has_source_delta_fld; /**< do we need source for delta of dark energy? */ short has_source_delta_scf; /**< do we need source for delta from scalar field? */ - short has_source_phi_smg; /**< do we need source for delta of scalar field? */ - short has_source_delta_dr; /**< do we need source for delta of decay radiation? */ - short has_source_delta_ur; /**< do we need source for delta of ultra-relativistic neutrinos/relics? */ + short has_source_delta_dr; /**< do we need source for delta of decay radiation? */ + short has_source_delta_ur; /**< do we need source for delta of ultra-relativistic neutrinos/relics? */ short has_source_delta_ncdm; /**< do we need source for delta of all non-cold dark matter species (e.g. massive neutrinos)? */ short has_source_theta_m; /**< do we need source for theta of total matter? */ - short has_source_theta_cb; /**< do we ALSO need source for theta of ONLY cdm and baryon? */ + short has_source_theta_cb; /**< do we ALSO need source for theta of ONLY cdm and baryon? */ + short has_source_theta_tot; /**< do we need source for theta total? */ short has_source_theta_g; /**< do we need source for theta of gammas? */ short has_source_theta_b; /**< do we need source for theta of baryons? */ short has_source_theta_cdm; /**< do we need source for theta of cold dark matter? */ + short has_source_theta_idm; /**< do we need source for theta of interacting dark matter */ + short has_source_theta_idr; /**< do we need source for theta of interacting dark radiation? */ short has_source_theta_dcdm; /**< do we need source for theta of DCDM? */ short has_source_theta_fld; /**< do we need source for theta of dark energy? */ short has_source_theta_scf; /**< do we need source for theta of scalar field? */ - short has_source_phi_prime_smg; /**< do we need source for theta of scalar field? */ - short has_source_theta_dr; /**< do we need source for theta of ultra-relativistic neutrinos/relics? */ - short has_source_theta_ur; /**< do we need source for theta of ultra-relativistic neutrinos/relics? */ + short has_source_theta_dr; /**< do we need source for theta of ultra-relativistic neutrinos/relics? */ + short has_source_theta_ur; /**< do we need source for theta of ultra-relativistic neutrinos/relics? */ short has_source_theta_ncdm; /**< do we need source for theta of all non-cold dark matter species (e.g. massive neutrinos)? */ - short has_source_phi; /**< do we need source for metric fluctuation phi? */ - short has_source_phi_prime; /**< do we need source for metric fluctuation phi'? */ + short has_source_phi; /**< do we need source for metric fluctuation phi? */ + short has_source_phi_prime; /**< do we need source for metric fluctuation phi'? */ short has_source_phi_plus_psi; /**< do we need source for metric fluctuation (phi+psi)? */ - short has_source_psi; /**< do we need source for metric fluctuation psi? */ - short has_source_h; /**< do we need source for metric fluctuation h? */ - short has_source_h_prime; /**< do we need source for metric fluctuation h'? */ - short has_source_eta; /**< do we need source for metric fluctuation eta? */ - short has_source_eta_prime; /**< do we need source for metric fluctuation eta'? */ + short has_source_psi; /**< do we need source for metric fluctuation psi? */ + short has_source_h; /**< do we need source for metric fluctuation h? */ + short has_source_h_prime; /**< do we need source for metric fluctuation h'? */ + short has_source_eta; /**< do we need source for metric fluctuation eta? */ + short has_source_eta_prime; /**< do we need source for metric fluctuation eta'? */ + short has_source_H_T_Nb_prime; /**< do we need source for metric fluctuation H_T_Nb'? */ + short has_source_k2gamma_Nb; /**< do we need source for metric fluctuation gamma in Nbody gauge? */ + short has_source_x_smg; /**< do we need source for scalar field smg? */ + short has_source_x_prime_smg;/**< do we need source for scalar field smg prime? */ + /* remember that the temperature source function includes three terms that we call 0,1,2 (since the strategy in class v > 1.7 is @@ -309,33 +303,37 @@ struct perturbs int index_tp_t1; /**< index value for temperature (j=1 term) */ int index_tp_t2; /**< index value for temperature (j=2 term) */ int index_tp_p; /**< index value for polarization */ - int index_tp_delta_m; /**< index value for delta tot */ + int index_tp_delta_m; /**< index value for matter density fluctuation */ int index_tp_delta_cb; /**< index value for delta cb */ + int index_tp_delta_tot; /**< index value for total density fluctuation */ int index_tp_delta_g; /**< index value for delta of gammas */ int index_tp_delta_b; /**< index value for delta of baryons */ int index_tp_delta_cdm; /**< index value for delta of cold dark matter */ + int index_tp_delta_idm; /**< index value for delta of interacting dark matter */ int index_tp_delta_dcdm;/**< index value for delta of DCDM */ int index_tp_delta_fld; /**< index value for delta of dark energy */ int index_tp_delta_scf; /**< index value for delta of scalar field */ - int index_tp_phi_smg; /**< index value for delta of scalar field */ int index_tp_delta_dr; /**< index value for delta of decay radiation */ int index_tp_delta_ur; /**< index value for delta of ultra-relativistic neutrinos/relics */ + int index_tp_delta_idr; /**< index value for delta of interacting dark radiation */ int index_tp_delta_ncdm1; /**< index value for delta of first non-cold dark matter species (e.g. massive neutrinos) */ int index_tp_perturbed_recombination_delta_temp; /**< Gas temperature perturbation */ int index_tp_perturbed_recombination_delta_chi; /**< Inionization fraction perturbation */ - int index_tp_theta_m; /**< index value for theta tot */ - int index_tp_theta_cb; /**< index value for theta cb */ - int index_tp_theta_g; /**< index value for theta of gammas */ - int index_tp_theta_b; /**< index value for theta of baryons */ - int index_tp_theta_cdm; /**< index value for theta of cold dark matter */ - int index_tp_theta_dcdm; /**< index value for theta of DCDM */ - int index_tp_theta_fld; /**< index value for theta of dark energy */ - int index_tp_theta_scf; /**< index value for theta of scalar field */ - int index_tp_phi_prime_smg; /**< index value for theta of scalar field */ - int index_tp_theta_ur; /**< index value for theta of ultra-relativistic neutrinos/relics */ - int index_tp_theta_dr; /**< index value for F1 of decay radiation */ - int index_tp_theta_ncdm1;/**< index value for theta of first non-cold dark matter species (e.g. massive neutrinos) */ + int index_tp_theta_m; /**< index value for matter velocity fluctuation */ + int index_tp_theta_cb; /**< index value for theta cb */ + int index_tp_theta_tot; /**< index value for total velocity fluctuation */ + int index_tp_theta_g; /**< index value for theta of gammas */ + int index_tp_theta_b; /**< index value for theta of baryons */ + int index_tp_theta_cdm; /**< index value for theta of cold dark matter */ + int index_tp_theta_dcdm; /**< index value for theta of DCDM */ + int index_tp_theta_fld; /**< index value for theta of dark energy */ + int index_tp_theta_scf; /**< index value for theta of scalar field */ + int index_tp_theta_ur; /**< index value for theta of ultra-relativistic neutrinos/relics */ + int index_tp_theta_idr; /**< index value for theta of interacting dark radiation */ + int index_tp_theta_idm; /**< index value for theta of interacting dark matter */ + int index_tp_theta_dr; /**< index value for F1 of decay radiation */ + int index_tp_theta_ncdm1; /**< index value for theta of first non-cold dark matter species (e.g. massive neutrinos) */ int index_tp_phi; /**< index value for metric fluctuation phi */ int index_tp_phi_prime; /**< index value for metric fluctuation phi' */ @@ -345,6 +343,10 @@ struct perturbs int index_tp_h_prime; /**< index value for metric fluctuation h' */ int index_tp_eta; /**< index value for metric fluctuation eta */ int index_tp_eta_prime; /**< index value for metric fluctuation eta' */ + int index_tp_H_T_Nb_prime; /**< index value for metric fluctuation H_T_Nb' */ + int index_tp_k2gamma_Nb; /**< index value for metric fluctuation gamma times k^2 in Nbody gauge */ + int index_tp_x_smg; /**< index value for scalar field smg */ + int index_tp_x_prime_smg; /**< index value for scalar field smg prime */ int * tp_size; /**< number of types tp_size[index_md] included in computation for each mode */ @@ -362,9 +364,11 @@ struct perturbs for non-CMB \f$ C_l \f$ calculations, requiring a coarse sampling in k-space. */ - int * k_size; /**< k_size[index_md] = total number of k - values, including those needed for P(k) but not - for \f$ C_l \f$'s */ + int k_size_pk; /**< number of k values for the P(k,z) and T(k,z) output, not including possible additional values for non-linear corrections */ + + int * k_size; /**< k_size[index_md] = total number of k values, + including those needed for all C_l, P(k), + nonlinear corrections */ double ** k; /**< k[index_md][index_k] = list of values */ @@ -378,9 +382,8 @@ struct perturbs //@{ - int tau_size; /**< tau_size = number of values */ - - double * tau_sampling; /**< tau_sampling[index_tau] = list of tau values */ + double * tau_sampling; /**< array of tau values */ + int tau_size; /**< number of values in this array */ double selection_min_of_tau_min; /**< used in presence of selection functions (for matter density, cosmic shear...) */ double selection_max_of_tau_max; /**< used in presence of selection functions (for matter density, cosmic shear...) */ @@ -400,9 +403,56 @@ struct perturbs double *** sources; /**< Pointer towards the source interpolation table sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_type] + [index_ic * ppt->tp_size[index_md] + index_tp] [index_tau * ppt->k_size + index_k] */ + //@} + + /** @name - arrays related to the interpolation table for sources at late times, corresponding to z < z_max_pk (used for Fourier transfer function and spectra output) */ + + //@{ + + double * ln_tau; /**< log of the arrau tau_sampling, covering only the + final time range required for the output of + Fourier transfer functions (used for interpolations) */ + int ln_tau_size; /**< total number of values in this array */ + + double *** late_sources; /**< Pointer towards the source interpolation table + late_sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size + index_k] + Note that this is not a replication of part of the sources table, + it is just poiting towards the same memory zone, at the place where the late_sources actually start */ + + double *** ddlate_sources; /**< Pointer towards the splined source interpolation table with second derivatives with respect to time + ddlate_sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size + index_k] */ + + //@} + + /** @name - arrays storing the evolution of all sources for given k values, passed as k_output_values */ + + //@{ + + int * index_k_output_values; /**< List of indices corresponding to k-values close to k_output_values for each mode. + index_k_output_values[index_md*k_output_values_num+ik]*/ + + char scalar_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for scalar perturbation output files. */ + char vector_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for vector perturbation output files. */ + char tensor_titles[_MAXTITLESTRINGLENGTH_]; /**< _DELIMITER_ separated string of titles for tensor perturbation output files. */ + + int number_of_scalar_titles; /**< number of titles/columns in scalar perturbation output files */ + int number_of_vector_titles; /**< number of titles/columns in vector perturbation output files*/ + int number_of_tensor_titles; /**< number of titles/columns in tensor perturbation output files*/ + + double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for scalars */ + double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for vectors */ + double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of double pointers to perturbation output for tensors */ + + int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of scalar double pointers */ + int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of vector double pointers */ + int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_]; /**< Array of sizes of tensor double pointers */ //@} @@ -427,12 +477,20 @@ struct perturbs //@{ - /** enumerator defining type of dynamical initial conditions */ + /** enumerator defining type of dynamical initial conditions */ enum pert_possible_initial_conditions pert_initial_conditions_smg; //@} + /* + Decide whether to use the equations with Vx (singular when phi_prime=0) + or the equations with delta_phi (defined only with covariant theories) + */ + short use_pert_var_deltaphi_smg; + + /* Get h' from Einstein trace rather than 00 (not only _smg!!) */ + short get_h_from_trace; }; @@ -443,7 +501,7 @@ struct perturbs * vectors changes when the approximation scheme changes. */ -struct perturb_vector +struct perturbations_vector { int index_pt_delta_g; /**< photon density */ int index_pt_theta_g; /**< photon velocity */ @@ -459,6 +517,8 @@ struct perturb_vector int index_pt_theta_b; /**< baryon velocity */ int index_pt_delta_cdm; /**< cdm density */ int index_pt_theta_cdm; /**< cdm velocity */ + int index_pt_delta_idm; /**< idm density */ + int index_pt_theta_idm; /**< idm velocity */ int index_pt_delta_dcdm; /**< dcdm density */ int index_pt_theta_dcdm; /**< dcdm velocity */ int index_pt_delta_fld; /**< dark energy density in true fluid case */ @@ -466,14 +526,20 @@ struct perturb_vector int index_pt_Gamma_fld; /**< unique dark energy dynamical variable in PPF case */ int index_pt_phi_scf; /**< scalar field density */ int index_pt_phi_prime_scf; /**< scalar field velocity */ - int index_pt_vx_smg; /**< scalar field density */ - int index_pt_vx_prime_smg; /**< scalar field velocity */ + int index_pt_x_smg; /**< scalar field perturbation */ + int index_pt_x_prime_smg; /**< scalar field perturbation derivative */ int index_pt_delta_ur; /**< density of ultra-relativistic neutrinos/relics */ int index_pt_theta_ur; /**< velocity of ultra-relativistic neutrinos/relics */ int index_pt_shear_ur; /**< shear of ultra-relativistic neutrinos/relics */ int index_pt_l3_ur; /**< l=3 of ultra-relativistic neutrinos/relics */ int l_max_ur; /**< max momentum in Boltzmann hierarchy (at least 3) */ -/* perturbed recombination */ + int index_pt_delta_idr; /**< density of interacting dark radiation */ + int index_pt_theta_idr; /**< velocity of interacting dark radiation */ + int index_pt_shear_idr; /**< shear of interacting dark radiation */ + int index_pt_l3_idr; /**< l=3 of interacting dark radiation */ + int l_max_idr; /**< max momentum in Boltzmann hierarchy (at least 3) for interacting dark radiation */ + + /* perturbed recombination */ int index_pt_perturbed_recombination_delta_temp; /**< Gas temperature perturbation */ int index_pt_perturbed_recombination_delta_chi; /**< Inionization fraction perturbation */ @@ -491,7 +557,7 @@ struct perturb_vector int index_pt_phi; /**< newtonian gauge metric perturbation phi */ int index_pt_hv_prime; /**< vector metric perturbation h_v' in synchronous gauge */ int index_pt_V; /**< vector metric perturbation V in Newtonian gauge */ - int index_pt_h_prime_from_trace_smg; + int index_pt_h_prime_from_trace; /**< synchronous gauge metric perturbation h_prime from the integrator (not only _smg) */ int index_pt_gw; /**< tensor metric perturbation h (gravitational waves) */ int index_pt_gwdot; /**< its time-derivative */ @@ -514,7 +580,7 @@ struct perturb_vector * (scalar/.../tensor) and each thread (in case of parallel computing) */ -struct perturb_workspace +struct perturbations_workspace { /** @name - all possible useful indices for those metric @@ -527,15 +593,17 @@ struct perturb_workspace int index_mt_phi_prime; /**< (d phi/d conf.time) in longitudinal gauge */ int index_mt_h_prime; /**< h' (wrt conf. time) in synchronous gauge */ int index_mt_h_prime_prime; /**< h'' (wrt conf. time) in synchronous gauge */ + int index_mt_eta; /**< eta in synchronous gauge */ int index_mt_eta_prime; /**< eta' (wrt conf. time) in synchronous gauge */ int index_mt_alpha; /**< \f$ \alpha = (h' + 6 \eta') / (2 k^2) \f$ in synchronous gauge */ int index_mt_alpha_prime; /**< \f$ \alpha'\f$ wrt conf. time) in synchronous gauge */ int index_mt_gw_prime_prime;/**< second derivative wrt conformal time of gravitational wave field, often called h */ int index_mt_V_prime; /**< derivative of Newtonian gauge vector metric perturbation V */ int index_mt_hv_prime_prime;/**< Second derivative of Synchronous gauge vector metric perturbation \f$ h_v\f$ */ - int index_mt_vx_prime_prime_smg;/**< second derivative of the scalar field perturb wrt confromal time - computed in perturb_einstein and passed to the integrator */ - int index_mt_vx_prime_smg; /**< first derivative of the scalar field perturb wrt conformal time */ - int index_mt_vx_smg; /**< scalar field perturbation */ + int index_mt_einstein00; /**< measure the deviations from the Einstein 00 equation. Useful if get_h_from_trace == _TRUE_ but also to add a friction term to the Einstein trace equation for h'' (not only _smg!!) */ + int index_mt_x_smg; /**< scalar field perturbation */ + int index_mt_x_prime_smg; /**< first derivative of the scalar field perturb wrt conformal time */ + int index_mt_x_prime_prime_smg;/**< second derivative of the scalar field perturb wrt confromal time - computed in perturbations_einstein and passed to the integrator */ int index_mt_rsa_p_smg; /**< correction to the evolution of ur and g species in radiation streaming approximation due to non-negligible pressure at late-times*/ int mt_size; /**< size of metric perturbation vector */ @@ -550,26 +618,35 @@ struct perturb_workspace double * pvecback; /**< background quantities */ double * pvecthermo; /**< thermodynamics quantities */ double * pvecmetric; /**< metric quantities */ - struct perturb_vector * pv; /**< pointer to vector of integrated - perturbations and their - time-derivatives */ + struct perturbations_vector * pv; /**< pointer to vector of integrated + perturbations and their + time-derivatives */ double delta_rho; /**< total density perturbation (gives delta Too) */ double rho_plus_p_theta; /**< total (rho+p)*theta perturbation (gives delta Toi) */ double rho_plus_p_shear; /**< total (rho+p)*shear (gives delta Tij) */ double delta_p; /**< total pressure perturbation (gives Tii) */ + double delta_rho_r; /**< radiation density perturbation */ + double rho_plus_p_theta_r; /**< radiation (rho+p)*theta perturbation */ + + double rho_plus_p_tot; /**< total (rho+p) (used to infer theta_tot from rho_plus_p_theta) */ + double gw_source; /**< stress-energy source term in Einstein's tensor equations (gives Tij[tensor]) */ double vector_source_pi; /**< first stress-energy source term in Einstein's vector equations */ double vector_source_v; /**< second stress-energy source term in Einstein's vector equations */ - double delta_rho_r; - double rho_plus_p_theta_r; double tca_shear_g; /**< photon shear in tight-coupling approximation */ double tca_slip; /**< photon-baryon slip in tight-coupling approximation */ + double tca_shear_idm_dr; /**< interacting dark radiation shear in tight coupling appproximation */ double rsa_delta_g; /**< photon density in radiation streaming approximation */ double rsa_theta_g; /**< photon velocity in radiation streaming approximation */ double rsa_delta_ur; /**< photon density in radiation streaming approximation */ double rsa_theta_ur; /**< photon velocity in radiation streaming approximation */ + double rsa_delta_idr; /**< interacting dark radiation density in dark radiation streaming approximation */ + double rsa_theta_idr; /**< interacting dark radiation velocity in dark radiation streaming approximation */ + + double theta_idm; /**< interacting dark matter velocity */ + double theta_idm_prime; /**< derivative of interacting dark matter velocity in regard to conformal time */ double * delta_ncdm; /**< relative density perturbation of each ncdm species */ double * theta_ncdm; /**< velocity divergence theta of each ncdm species */ @@ -582,11 +659,12 @@ struct perturb_workspace double theta_cb; /**< velocity divergence theta of only cdm and baryon */ double delta_rho_fld; /**< density perturbation of fluid, not so trivial in PPF scheme */ + double delta_p_fld; /**< pressure perturbation of fluid, very non-trivial in PPF scheme */ double rho_plus_p_theta_fld; /**< velocity divergence of fluid, not so trivial in PPF scheme */ double S_fld; /**< S quantity sourcing Gamma_prime evolution in PPF scheme (equivalent to eq. 15 in 0808.3125) */ double Gamma_prime_fld; /**< Gamma_prime in PPF scheme (equivalent to eq. 14 in 0808.3125) */ - FILE * perturb_output_file; /**< filepointer to output file*/ + FILE * perturbations_output_file; /**< filepointer to output file*/ int index_ikout; /**< index for output k value (when k_output_values is set) */ //@} @@ -608,9 +686,12 @@ struct perturb_workspace int index_ap_tca; /**< index for tight-coupling approximation */ int index_ap_rsa; /**< index for radiation streaming approximation */ + int index_ap_tca_idm_dr; /**< index for dark tight-coupling approximation (idm-idr) */ + int index_ap_rsa_idr; /**< index for dark radiation streaming approximation */ int index_ap_ufa; /**< index for ur fluid approximation */ int index_ap_ncdmfa; /**< index for ncdm fluid approximation */ int index_ap_qs_smg; /**< index for smg quasi-static approximation */ + double * tau_scheme_qs_smg; /* array with the quasi-static approximation times */ int ap_size; /**< number of relevant approximations for a given mode */ int * approx; /**< array of approximation flags holding at a given time: approx[index_ap] */ @@ -629,22 +710,22 @@ struct perturb_workspace }; /** - * Structure pointing towards all what the function that perturb_derivs + * Structure pointing towards all what the function that perturbations_derivs * needs to know: fixed input parameters and indices contained in the * various structures, workspace, etc. */ -struct perturb_parameters_and_workspace { +struct perturbations_parameters_and_workspace { struct precision * ppr; /**< pointer to the precision structure */ struct background * pba; /**< pointer to the background structure */ - struct thermo * pth; /**< pointer to the thermodynamics structure */ - struct perturbs * ppt; /**< pointer to the precision structure */ + struct thermodynamics * pth; /**< pointer to the thermodynamics structure */ + struct perturbations * ppt; /**< pointer to the precision structure */ int index_md; /**< index of mode (scalar/.../vector/tensor) */ int index_ic; /**< index of initial condition (adiabatic/isocurvature(s)/...) */ int index_k; /**< index of wavenumber */ double k; /**< current value of wavenumber in 1/Mpc */ - struct perturb_workspace * ppw; /**< workspace defined above */ + struct perturbations_workspace * ppw; /**< workspace defined above */ }; @@ -657,321 +738,300 @@ struct perturb_parameters_and_workspace { extern "C" { #endif - int perturb_sources_at_tau( - struct perturbs * ppt, - int index_md, - int index_ic, - int index_type, - double tau, - double * pvecsources - ); - - int perturb_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ); + int perturbations_sources_at_tau( + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double tau, + double * psource_at_tau + ); - int perturb_free( - struct perturbs * ppt - ); + int perturbations_sources_at_z( + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double z, + double * psource_at_z + ); - int perturb_free_nosource( - struct perturbs * ppt - ); + int perturbations_sources_at_k_and_z( + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double k, + double z, + double * psource_at_k_and_z + ); - int perturb_indices_of_perturbs( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt + int perturbations_output_data_at_z( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + double z, + int number_of_titles, + double *data + ); + + int perturbations_output_data_at_index_tau( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + int index_tau, + int number_of_titles, + double *data + ); + + int perturbations_output_data( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + double * tkfull, + int number_of_titles, + double *data + ); + + int perturbations_output_titles( + struct background *pba, + struct perturbations *ppt, + enum file_format output_format, + char titles[_MAXTITLESTRINGLENGTH_] ); - int perturb_timesampling_for_sources( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ); - int perturb_get_k_list( + int perturbations_output_firstline_and_ic_suffix( + struct perturbations *ppt, + int index_ic, + char first_line[_LINE_LENGTH_MAX_], + char ic_suffix[_SUFFIXNAMESIZE_] + ); + + int perturbations_init( struct precision * ppr, struct background * pba, - struct thermo * pth, - struct perturbs * ppt + struct thermodynamics * pth, + struct perturbations * ppt ); - int perturb_workspace_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - struct perturb_workspace * ppw - ); + int perturbations_free_input( + struct perturbations * ppt + ); - int perturb_workspace_free( - struct perturbs * ppt, - int index_md, - struct perturb_workspace * ppw - ); + int perturbations_free( + struct perturbations * ppt + ); - int perturb_solve( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - int index_ic, - int index_k, - struct perturb_workspace * ppw - ); - - int perturb_find_approximation_number( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - struct perturb_workspace * ppw, - double tau_ini, - double tau_end, - int * interval_number, - int * interval_number_of, - double * tau_scheme_qs_smg - ); + int perturbations_indices( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ); - int perturb_find_approximation_switches( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - struct perturb_workspace * ppw, - double tau_ini, - double tau_end, - double precision, - int interval_number, - int * interval_number_of, - double * interval_limit, - int ** interval_approx, - double * tau_scheme_qs_smg - ); - - int perturb_vector_init( + int perturbations_timesampling_for_sources( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ); + int perturbations_get_k_list( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ); + + int perturbations_workspace_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + struct perturbations_workspace * ppw + ); + + int perturbations_workspace_free( + struct perturbations * ppt, + int index_md, + struct perturbations_workspace * ppw + ); + + int perturbations_solve( struct precision * ppr, struct background * pba, - struct thermo * pth, - struct perturbs * ppt, + struct thermodynamics * pth, + struct perturbations * ppt, int index_md, int index_ic, - double k, - double tau, - struct perturb_workspace * ppw, - int * pa_old - ); - - int perturb_vector_free( - struct perturb_vector * pv + int index_k, + struct perturbations_workspace * ppw ); - int perturb_initial_conditions( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - int index_md, - int index_ic, - double k, - double tau, - struct perturb_workspace * ppw - ); - - int perturb_approximations( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double tau, - struct perturb_workspace * ppw, - double * tau_scheme_qs_smg - ); + int perturbations_prepare_k_output( + struct background * pba, + struct perturbations * ppt + ); + + int perturbations_find_approximation_number( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + struct perturbations_workspace * ppw, + double tau_ini, + double tau_end, + int * interval_number, + int * interval_number_of + ); + + int perturbations_find_approximation_switches( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + struct perturbations_workspace * ppw, + double tau_ini, + double tau_end, + double precision, + int interval_number, + int * interval_number_of, + double * interval_limit, + int ** interval_approx + ); + + int perturbations_vector_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + int index_ic, + double k, + double tau, + struct perturbations_workspace * ppw, + int * pa_old + ); - int perturb_timescale( - double tau, - void * parameters_and_workspace, - double * timescale, - ErrorMsg error_message - ); - - int perturb_einstein( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double tau, - double * y, - struct perturb_workspace * ppw - ); - - int perturb_total_stress_energy( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double * y, - struct perturb_workspace * ppw - ); + int perturbations_vector_free( + struct perturbations_vector * pv + ); - int perturb_sources( - double tau, - double * pvecperturbations, - double * pvecderivs, - int index_tau, - void * parameters_and_workspace, - ErrorMsg error_message - ); + int perturbations_initial_conditions( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + double k, + double tau, + struct perturbations_workspace * ppw + ); - int perturb_print_variables( + int perturbations_approximations( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double tau, + struct perturbations_workspace * ppw + ); + + int perturbations_timescale( double tau, - double * y, - double * dy, void * parameters_and_workspace, + double * timescale, ErrorMsg error_message ); - int perturb_derivs( - double tau, - double * y, - double * dy, - void * parameters_and_workspace, - ErrorMsg error_message - ); - - int perturb_tca_slip_and_shear( - double * y, - void * parameters_and_workspace, - ErrorMsg error_message - ); - - int perturb_rsa_delta_and_theta( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - double k, - double * y, - double a_prime_over_a, - double * pvecthermo, - struct perturb_workspace * ppw - ); - - int perturb_prepare_output_file(struct background * pba, - struct perturbs * ppt, - struct perturb_workspace * ppw, - int index_ikout, - int index_md); + int perturbations_einstein( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double tau, + double * y, + struct perturbations_workspace * ppw + ); - int perturb_prepare_output(struct background * pba, - struct perturbs * ppt); + int perturbations_total_stress_energy( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double * y, + struct perturbations_workspace * ppw + ); - int perturb_test_ini_grav_ic_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt); + int perturbations_sources( + double tau, + double * pvecperturbations, + double * pvecderivs, + int index_tau, + void * parameters_and_workspace, + ErrorMsg error_message + ); - int perturb_test_ini_extfld_ic_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt); + int perturbations_print_variables( + double tau, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ); + + int perturbations_derivs( + double tau, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ); + + int perturbations_tca_slip_and_shear( + double * y, + void * parameters_and_workspace, + ErrorMsg error_message + ); - int perturb_test_at_k_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau, - int *approx); + int perturbations_rsa_delta_and_theta( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + double k, + double * y, + double a_prime_over_a, + double * pvecthermo, + struct perturbations_workspace * ppw, + ErrorMsg error_message + ); - int perturb_test_ini_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k_min, - double k_max, - double a_ini); + int perturbations_rsa_idr_delta_and_theta( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + double k, + double * y, + double a_prime_over_a, + double * pvecthermo, + struct perturbations_workspace * ppw, + ErrorMsg error_message + ); - int perturb_find_scheme_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau_ini, - double tau_end, - double * tau_scheme_qs_smg); - - int sample_mass_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau_ini, - double tau_end, - double * tau_sample, - double * mass_sample, - double * rad_sample, - double * slope_sample, - int *size_sample); - - int mass_to_approx_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double tau_ini, - double tau_end, - double * tau_sample, - double * mass_sample, - double * rad_sample, - int * approx_sample, - int size_sample); - - int shorten_first_qs_smg(double * tau_sample, - double * slope_sample, - int * approx_sample, - int size_sample, - double * tau_array, - double * slope_array, - int * approx_array, - int *size_array, - double tau_end); - - int correct_with_slope_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double tau_ini, - double tau_end, - double * tau_array, - double * slope_array, - int * approx_array, - int size_array); - - int shorten_second_qs_smg(double * tau_array, - int * approx_array, - int size_array, - double * tau_scheme, - int * approx_scheme, - int *size_scheme); - - int fit_real_scheme_qs_smg(double tau_end, - int * approx_scheme, - double * tau_scheme, - int size_scheme, - double * tau_export); - - int calc_extfld_ampl(int n, double kin, double bra, double dbra, double run, double ten, double DelM2, - double Omx, double wx, double l1, double l2, double l3, double l4, - double l5, double l6,double l7,double l8, double cs2num, double Dd, double ic_regulator_smg, - double * amplitude); #ifdef __cplusplus } #endif diff --git a/include/precisions.h b/include/precisions.h new file mode 100644 index 00000000..ad48e652 --- /dev/null +++ b/include/precisions.h @@ -0,0 +1,640 @@ +#include "macros_precision.h" + +/* + * Background Quantities + */ + +/** + * Default initial value of scale factor used in the integration of background quantities. + * For models like ncdm, the code may decide to start the integration earlier. + */ +class_precision_parameter(a_ini_over_a_today_default,double,1.e-14) +/** + * Number of background integration steps that are stored in the output vector + */ +class_precision_parameter(background_Nloga,int,40000) +/** + * Evolver to be used for thermodynamics (rk, ndf15) + */ +class_type_parameter(background_evolver,int,enum evolver_type,ndf15) +/** + * Tolerance of the background integration, giving the allowed relative integration error. + * (used by both evolvers) + */ +class_precision_parameter(tol_background_integration,double,1.e-10) +/** + * Only relevant for rk evolver: the default integration step is given + * by this number multiplied by the timescale defined in + * background_timescale (given by the sampling step) + */ +class_precision_parameter(background_integration_stepsize,double,0.5) +/** + * Tolerance of the deviation of \f$ \Omega_r \f$ from 1 for which to start integration: + * The starting point of integration will be chosen, + * such that the Omega of radiation at that point is close to 1 within tolerance. + * (Class starts background integration during complete radiation domination) + */ +class_precision_parameter(tol_initial_Omega_r,double,1.e-4) +/** + * Tolerance of relative deviation of the used non-cold dark matter mass compared to that which would give the correct density. + * The dark matter mass is estimated from the dark matter density using a Newton-Method. + * In the nonrelativistic limit, this could be estimated using M=density/number density + */ +class_precision_parameter(tol_M_ncdm,double,1.e-7) +/** + * Tolerance on the relative precision of the integration over + * non-cold dark matter phase-space distributions. + */ +class_precision_parameter(tol_ncdm,double,1.e-3) +/** + * Tolerance on the relative precision of the integration over + * non-cold dark matter phase-space distributions in the synchronous gauge. + */ +class_precision_parameter(tol_ncdm_synchronous,double,1.e-3) +/** + * Tolerance on the relative precision of the integration over + * non-cold dark matter phase-space distributions in the newtonian gauge. + */ +class_precision_parameter(tol_ncdm_newtonian,double,1.e-5) +/** + * Tolerance on the relative precision of the integration over + * non-cold dark matter phase-space distributions during the background evolution. + */ +class_precision_parameter(tol_ncdm_bg,double,1.e-5) +/** + * Tolerance on the initial deviation of non-cold dark matter from being fully relativistic. + * Using w = pressure/density, this quantifies the maximum deviation from 1/3. (for relativistic species) + */ +class_precision_parameter(tol_ncdm_initial_w,double,1.e-3) +/** + * Tolerance on the deviation of the conformal time of equality from the true value in 1/Mpc. + */ +class_precision_parameter(tol_tau_eq,double,1.e-6) + +/** + * Minimum amount of cdm to allow calculations in synchronous gauge comoving with cdm. + */ +class_precision_parameter(Omega0_cdm_min_synchronous,double,1.e-10) + +/** + * Absolute tolerance of root x during shooting (only 2D case) + */ +class_precision_parameter(tol_shooting_deltax,double,1.e-4) +/** + * Absolute tolerance of function value F during shooting (only 2D case) + */ +class_precision_parameter(tol_shooting_deltaF,double,1.e-6) +/** + * Relative tolerance of root x during shooting (only 1D case) + */ +class_precision_parameter(tol_shooting_deltax_rel,double,1.e-5) +/** + * Tolerance on input of various fractions (e.g. f_idm) + */ +class_precision_parameter(tol_fraction_accuracy,double,1.e-10) +/** + * Threshold value of M_ncdm=T_ncdm/m_ncdm above wich a species is + * considered a "non-free-streaming" when comuting the parameter + * Omega0_nfsm, relevant for HyRec and non-linear correction + * algorithms + */ +class_precision_parameter(M_nfsm_threshold,double,1.e4) +/* + * Currently unused parameter. + */ + +//class_precision_parameter(safe_phi_scf,double,0.0) +/** + * Big Bang Nucleosynthesis file path. The file specifies the predictions for + * \f$ Y_\mathrm{He} \f$ for given \f$ \omega_b \f$ and \f$ N_\mathrm{eff} \f$. + */ +class_string_parameter(sBBN_file,"/external/bbn/sBBN_2017.dat","sBBN file") + +/* + * Thermodynamical quantities + */ + +/** + * The initial z for the calculation of the recombination history + */ +class_precision_parameter(thermo_z_initial,double,5.e6) +/** + * The initial z for the calculation of the recombination history in + * presence of idm (unless the later is tightly-coupled at this + * redshift) + */ +class_precision_parameter(thermo_z_initial_if_idm,double,1.e9) +/** + * The switch z for the recfast calculation towards linear sampling + */ +class_precision_parameter(thermo_z_linear,double,1.e4) +/** + * Number of recfast integration steps (linear sampling, intermdiate times between z_linear and reionization) + */ +class_precision_parameter(thermo_Nz_lin,int,20000) +/** + * Number of recfast integration steps (logarithmnic sampling. early times between z-initial and z_linear) + */ +class_precision_parameter(thermo_Nz_log,int,5000) +/** + * Evolver to be used for thermodynamics (rk, ndf15) + */ +class_type_parameter(thermo_evolver,int,enum evolver_type,ndf15) +/** + * Tolerance of the relative value of integral during thermodynamical integration + * (used by both evolvers) + */ +class_precision_parameter(tol_thermo_integration,double,1.0e-6) +/** + * Only relevant for rk evolver: the default integration step is given + * by this number multiplied by the timescale defined in + * thermodynamics_timescale (given by the sampling step) + */ +class_precision_parameter(thermo_integration_stepsize,double,0.1) +/** + * Smoothing in redshift of the variation rate of \f$ \exp(-\kappa) \f$, g, and \f$ \frac{dg}{d\tau} \f$ that is used as a timescale afterwards + */ +class_precision_parameter(thermo_rate_smoothing_radius,int,50) +/** + * Redshift at which CLASS starts to test for too early re-ionization and/or incomplete recombination. + */ +class_precision_parameter(z_end_reco_test,double,500.) +/** + * Number of sampling points in the case of primordial black holes in ln(1+z) + */ +class_precision_parameter(primordial_black_hole_Nz,int,75000) +/** + * Number of sampling points in the case of the coarse sampling in noninjection.c in ln(1+z) + */ +class_precision_parameter(noninjection_Nz_log,int,1000) +/** + * Number of discrete wavenumbers for dissipation of acoustic waves (found to be giving a reasonable precision) + */ +class_precision_parameter(noninjection_Nk_acc_diss,int,500) +class_precision_parameter(k_min_acc_diss,double,0.12) /**< Minimum wavenumber for dissipation of acoustic waves */ +class_precision_parameter(k_max_acc_diss,double,1.e6) /**< Maximum wavenumber for dissipation of acoustic waves */ +class_precision_parameter(z_wkb_acc_diss,double,1.e6) /**< Redshift of the WKB approximation for diss. of acoustic waves */ + +/* + * Recfast 1.4/1.5 parameters + */ + +class_precision_parameter(recfast_Heswitch,int,6) /**< from recfast 1.4, specifies how accurate the Helium recombination should be handled */ +class_precision_parameter(recfast_fudge_He,double,0.86) /**< from recfast 1.4, fugde factor for Peeble's equation coefficient of Helium */ +class_precision_parameter(recfast_Hswitch,int,_TRUE_) /**< from recfast 1.5, specifies how accurate the Hydrogen recombination should be handled */ +class_precision_parameter(recfast_fudge_H,double,1.14) /**< from recfast 1.4, fudge factor for Peeble's equation coeffient of Hydrogen */ +class_precision_parameter(recfast_delta_fudge_H,double,-0.015) /**< from recfast 1.5.2, increasing Hydrogen fudge factor if Hswitch is enabled */ +class_precision_parameter(recfast_AGauss1,double,-0.14) /**< from recfast 1.5, Gaussian Peeble prefactor fit, amplitude */ +class_precision_parameter(recfast_AGauss2,double,0.079) /**< from recfast 1.5.2, Gaussian Peeble prefactor fit, amplitude */ +class_precision_parameter(recfast_zGauss1,double,7.28) /**< from recfast 1.5, Gaussian Peeble prefactor fit, center */ +class_precision_parameter(recfast_zGauss2,double,6.73) /**< from recfast 1.5.2, Gaussian Peeble prefactor fit, center */ +class_precision_parameter(recfast_wGauss1,double,0.18) /**< from recfast 1.5, Gaussian Peeble prefactor fit, width */ +class_precision_parameter(recfast_wGauss2,double,0.33) /**< from recfast 1.5, Gaussian Peeble prefactor fit, width */ + +class_precision_parameter(recfast_z_He_1,double,8000.0) /**< from recfast 1.4, Starting value of Helium recombination 1 */ +class_precision_parameter(recfast_delta_z_He_1,double,50.0) /**< Smoothing factor for recombination approximation switching, found to be OK on 3.09.10 */ +class_precision_parameter(recfast_z_He_2,double,4500.0) /**< from recfast 1.4, Ending value of Helium recombination 1, changed on 28.10.20 from 5000 to 4500 */ +class_precision_parameter(recfast_delta_z_He_2,double,100.0)/**< Smoothing factor for recombination approximation switching, found to be OK on 3.09.10 */ +class_precision_parameter(recfast_z_He_3,double,3500.0) /**< from recfast 1.4, Starting value of Helium recombination 2 */ +class_precision_parameter(recfast_delta_z_He_3,double,50.0) /**< Smoothing factor for recombination approximation switching, found to be OK on 3.09.10 */ + +class_precision_parameter(recfast_z_early_H_recombination,double,2870.) /**< from class 3.0, redshift at beginning of early H-recombination (analytic approximation possible), replaces condition */ +class_precision_parameter(recfast_delta_z_early_H_recombination,double,50.) /**< from class 3.0, smoothing radius delta z for beginning of early H-recombination period */ + +class_precision_parameter(recfast_z_full_H_recombination,double,1600.) /**< from class 3.0, redshift at beignning of full H recombination (always use full equations), replaces condition x_H < recfast_x_H0_trigger */ +class_precision_parameter(recfast_delta_z_full_H_recombination,double,50.) /**< from class 3.0, smoothing radius delta z for full H-recombination period */ + +class_precision_parameter(recfast_delta_z_reio,double,2.) /**< from class 3.0, smoothing radius delta z for reionization period */ + +class_precision_parameter(recfast_x_He0_trigger,double,0.995) /**< Switch for Helium full calculation during reco, raised from 0.99 to 0.995 for smoother Helium */ +class_precision_parameter(recfast_x_He0_trigger2,double,0.995) /**< Switch for Helium full calculation during reco, for changing Helium flag, raised from 0.985 to same as previous one for smoother Helium */ +class_precision_parameter(recfast_x_He0_trigger_delta,double,0.05) /**< Smoothing factor for recombination approximation switching, found to be OK on 3.09.10 */ +class_precision_parameter(recfast_x_H0_trigger,double,0.995) /**< Switch for Hydrogen full calculation during reco, raised from 0.99 to 0.995 for smoother Hydrogen */ +class_precision_parameter(recfast_x_H0_trigger2,double,0.995) /**< Switch for Hydrogen full calculation during reco, for changing Hydrogen flag, raised from 0.98 to same as previous one for smoother Hydrogen */ +class_precision_parameter(recfast_x_H0_trigger_delta,double,0.05) /**< Smoothing factor for recombination approximation switching, found to be OK on 3.09.10 */ + +//class_precision_parameter(recfast_H_frac,double,1.0e-3) /**< from recfast 1.4, specifies the time at which the temperature evolution is calculated by the more precise equation, not used currently */ +/** + * This is an important flag for energy injections! It also modifies wether recfast will switch approximation schemes or not. + */ +class_precision_parameter(recfast_z_switch_late,double,800.) + +/* + * Hyrec Parameters + */ + +class_string_parameter(hyrec_path,"/external/HyRec2020/","hyrec_path") /**< Path to hyrec */ + +/* + * Reionization parameters + */ + +class_precision_parameter(reionization_z_start_max,double,50.0) /**< Maximum starting value in z for reionization */ +class_precision_parameter(reionization_sampling,double,1.5e-2) /**< Minimum sampling density in z during reionization */ +class_precision_parameter(reionization_optical_depth_tol,double,1.0e-4) /**< Relative tolerance on finding the user-given optical depth of reionization given a certain redshift of reionization */ +class_precision_parameter(reionization_start_factor,double,8.0) /**< Searching optical depth corresponding to the redshift is started from an initial offset beyond z_reionization_start, multiplied by reionization_width */ + +/* + * Heating parameters + */ + +class_string_parameter(chi_z_Galli,"/external/heating/Galli_et_al_2013.dat","Galli_file") /**< File containing the chi approximation according to Galli et al 2013 */ +class_precision_parameter(z_start_chi_approx,double,2.0e3) /**< Switching redshift from full heating to chosen approx for deposition function */ + +/* + * Perturbation parameters + */ + +class_precision_parameter(k_min_tau0,double,0.1) /**< number defining k_min for the computation of Cl's and P(k)'s (dimensionless): (k_min tau_0), usually chosen much smaller than one */ + +class_precision_parameter(k_max_tau0_over_l_max,double,1.8) /**< number defining k_max for the computation of Cl's (dimensionless): (k_max tau_0)/l_max, usually chosen around two. In v3.2.2: lowered from 2.4 to 1.8, because the high value 2.4 was needed to keep CMB lensing accurate enough. With the new Limber scheme, this will be the case anyway, and k_max can be lowered in other observables in order to speed up the code. */ +class_precision_parameter(k_step_sub,double,0.05) /**< step in k space, in units of one period of acoustic oscillation at decoupling, for scales inside sound horizon at decoupling */ +class_precision_parameter(k_step_super,double,0.002) /**< step in k space, in units of one period of acoustic oscillation at decoupling, for scales above sound horizon at decoupling */ +class_precision_parameter(k_step_transition,double,0.2) /**< dimensionless number regulating the transition from 'sub' steps to 'super' steps. Decrease for more precision. */ +class_precision_parameter(k_step_super_reduction,double,0.1) /**< the step k_step_super is reduced by this amount in the k-->0 limit (below scale of Hubble and/or curvature radius) */ + +class_precision_parameter(k_per_decade_for_pk,double,10.0) /**< if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade outside the BAO region*/ + +class_precision_parameter(idmdr_boost_k_per_decade_for_pk,double,1.0) /**< boost factor for the case of DAO in idm-idr models */ + +class_precision_parameter(k_per_decade_for_bao,double,70.0) /**< if values needed between kmax inferred from k_oscillations and k_kmax_for_pk, this gives the number of k per decade inside the BAO region (for finer sampling)*/ + +class_precision_parameter(k_bao_center,double,3.0) /**< in ln(k) space, the central value of the BAO region where sampling is finer is defined as k_rec times this number (recommended: 3, i.e. finest sampling near 3rd BAO peak) */ + +class_precision_parameter(k_bao_width,double,4.0) /**< in ln(k) space, width of the BAO region where sampling is finer: this number gives roughly the number of BAO oscillations well resolved on both sides of the central value (recommended: 4, i.e. finest sampling from before first up to 3+4=7th peak) */ + +class_precision_parameter(start_small_k_at_tau_c_over_tau_h,double,0.0015) /**< largest wavelengths start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, \f$ \tau_c/\tau_H \f$. Start when start_largek_at_tau_c_over_tau_h equals this ratio. Decrease this value to start integrating the wavenumbers earlier in time. */ + +class_precision_parameter(start_large_k_at_tau_h_over_tau_k,double,0.07) /**< largest wavelengths start being sampled when mode is sufficiently outside Hubble scale. This is quantified in terms of the ratio of hubble time scale to wavenumber time scale, \f$ \tau_h/\tau_k \f$ which is roughly equal to (k*tau). Start when this ratio equals start_large_k_at_tau_k_over_tau_h. Decrease this value to start integrating the wavenumbers earlier in time. */ + +/** + * when to switch off tight-coupling approximation: first condition: + * \f$ \tau_c/\tau_H \f$ > tight_coupling_trigger_tau_c_over_tau_h. + * Decrease this value to switch off earlier in time. If this + * number is larger than start_sources_at_tau_c_over_tau_h, the code + * returns an error, because the source computation requires + * tight-coupling to be switched off. + */ +class_precision_parameter(tight_coupling_trigger_tau_c_over_tau_h,double,0.015) + +/** + * when to switch off tight-coupling approximation: + * second condition: \f$ \tau_c/\tau_k \equiv k \tau_c \f$ < + * tight_coupling_trigger_tau_c_over_tau_k. + * Decrease this value to switch off earlier in time. + */ +class_precision_parameter(tight_coupling_trigger_tau_c_over_tau_k,double,0.01) + +/** + * when to switch off tight-coupling approximation: + * third condition: for the case of idm with photons. + */ +class_precision_parameter(tight_coupling_trigger_tau_c_over_tau_dmu_idm_g, double, 0.01); + +/** + * when to switch off tight-coupling approximation: + * fourth condition: for the case of idm with baryons. + */ +class_precision_parameter(tight_coupling_trigger_tau_c_over_tau_R_idm_b, double, 0.01) + +class_precision_parameter(start_sources_at_tau_c_over_tau_h,double,0.008) /**< sources start being sampled when universe is sufficiently opaque. This is quantified in terms of the ratio of thermo to hubble time scales, \f$ \tau_c/\tau_H \f$. Start when start_sources_at_tau_c_over_tau_h equals this ratio. Decrease this value to start sampling the sources earlier in time. */ + +class_precision_parameter(tight_coupling_approximation,int,(int)compromise_CLASS) /**< method for tight coupling approximation */ + +class_precision_parameter(idm_dr_tight_coupling_trigger_tau_c_over_tau_k,double,0.01) /**< when to switch off the dark-tight-coupling approximation, first condition (see normal tca for full definition) */ +class_precision_parameter(idm_dr_tight_coupling_trigger_tau_c_over_tau_h,double,0.015) /**< when to switch off the dark-tight-coupling approximation, second condition (see normal tca for full definition) */ + +class_precision_parameter(l_max_g,int,12) /**< number of momenta in Boltzmann hierarchy for photon temperature (scalar), at least 4 */ +class_precision_parameter(l_max_pol_g,int,10) /**< number of momenta in Boltzmann hierarchy for photon polarization (scalar), at least 4 */ +class_precision_parameter(l_max_dr,int,17) /**< number of momenta in Boltzmann hierarchy for decay radiation, at least 4 */ +class_precision_parameter(l_max_ur,int,17) /**< number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4 */ +class_precision_parameter(l_max_idr,int,17) /**< number of momenta in Boltzmann hierarchy for interacting dark radiation */ +class_precision_parameter(l_max_ncdm,int,17) /**< number of momenta in Boltzmann hierarchy for relativistic neutrino/relics (scalar), at least 4 */ +class_precision_parameter(l_max_g_ten,int,5) /**< number of momenta in Boltzmann hierarchy for photon temperature (tensor), at least 4 */ +class_precision_parameter(l_max_pol_g_ten,int,5) /**< number of momenta in Boltzmann hierarchy for photon polarization (tensor), at least 4 */ + +class_precision_parameter(curvature_ini,double,1.0) /**< initial condition for curvature for adiabatic */ +class_precision_parameter(entropy_ini,double,1.0) /**< initial condition for entropy perturbation for isocurvature */ +class_precision_parameter(gw_ini,double,1.0) /**< initial condition for tensor metric perturbation h */ + +/** + * default step \f$ d \tau \f$ in perturbation integration, in units of the timescale involved in the equations (usually, the min of \f$ 1/k \f$, \f$ 1/aH \f$, \f$ 1/\dot{\kappa} \f$) + */ +class_precision_parameter(perturbations_integration_stepsize,double,0.5) +/** + * default step \f$ d \tau \f$ for sampling the source function, in units of the timescale involved in the sources: \f$ (\dot{\kappa}- \ddot{\kappa}/\dot{\kappa})^{-1} \f$ + */ +class_precision_parameter(perturbations_sampling_stepsize,double,0.1) +/** + * added in v 3.2.2: age fraction (between 0 and 1 ) such that, when + * tau > conformal_age * age_fraction, the time sampling of sources is + * twice finer, in order to boost the accuracy of the lensing + * line-of-sight integrals (for l < l_switch_limber) without changing + * that of unlensed CMB observables. Setting to 1.0 disables this + * functionality. +*/ +class_precision_parameter(perturbations_sampling_boost_above_age_fraction, double, 0.9) +/** + * control parameter for the precision of the perturbation integration, + * IMPORTANT FOR SETTING THE STEPSIZE OF NDF15 + */ +class_precision_parameter(tol_perturbations_integration,double,1.0e-5) +/** + * cutoff relevant for controlling stiffness in the PPF scheme. It is + * neccessary for the Runge-Kutta evolver, but not for ndf15. However, + * the approximation is excellent for a cutoff value of 1000, so we + * leave it on for both evolvers. (CAMB uses a cutoff value of 30.) + */ +class_precision_parameter(c_gamma_k_H_square_max,double,1.0e3) +/** + * precision with which the code should determine (by bisection) the + * times at which sources start being sampled, and at which + * approximations must be switched on/off (units of Mpc) + */ +class_precision_parameter(tol_tau_approx,double,1.0e-10) +/** + * method for switching off photon perturbations + */ +class_precision_parameter(radiation_streaming_approximation,int,rsa_MD_with_reio) +/** + * when to switch off photon perturbations, ie when to switch + * on photon free-streaming approximation (keep density and thtau, set + * shear and higher momenta to zero): + * first condition: \f$ k \tau \f$ > radiation_streaming_trigger_tau_h_over_tau_k + */ +class_precision_parameter(radiation_streaming_trigger_tau_over_tau_k,double,45.0) +/** + * when to switch off photon perturbations, ie when to switch + * on photon free-streaming approximation (keep density and theta, set + * shear and higher momenta to zero): + * second condition: + */ +class_precision_parameter(radiation_streaming_trigger_tau_c_over_tau,double,5.0) + +class_precision_parameter(idr_streaming_approximation,int,rsa_idr_none) /**< method for dark radiation free-streaming approximation */ +class_precision_parameter(idr_streaming_trigger_tau_over_tau_k,double,50.0) /**< when to switch on dark radiation (idr) free-streaming approximation, first condition */ +class_precision_parameter(idr_streaming_trigger_tau_c_over_tau,double,10.0) /**< when to switch on dark radiation (idr) free-streaming approximation, second condition */ + +class_precision_parameter(ur_fluid_approximation,int,ufa_CLASS) /**< method for ultra relativistic fluid approximation */ +/** + * when to switch off ur (massless neutrinos / ultra-relativistic + * relics) fluid approximation + */ +class_precision_parameter(ur_fluid_trigger_tau_over_tau_k,double,30.0) +class_precision_parameter(ncdm_fluid_approximation,int,ncdmfa_CLASS) /**< method for non-cold dark matter fluid approximation */ +/** + * when to switch off ncdm (massive neutrinos / non-cold + * relics) fluid approximation + */ +class_precision_parameter(ncdm_fluid_trigger_tau_over_tau_k,double,31.0) +/** + * whether CMB source functions can be approximated as zero when + * visibility function g(tau) is tiny + */ +class_precision_parameter(neglect_CMB_sources_below_visibility,double,1.0e-3) +/** + * The type of evolver to use: options are ndf15 or rk + */ +class_type_parameter(evolver,int,enum evolver_type,ndf15) + +/* + * Primordial parameters + */ + +class_precision_parameter(k_per_decade_primordial,double,10.0) /**< logarithmic sampling for primordial spectra (number of points per decade in k space) */ + +class_precision_parameter(primordial_inflation_ratio_min,double,100.0) /**< for each k, start following wavenumber when aH = k/primordial_inflation_ratio_min */ +class_precision_parameter(primordial_inflation_ratio_max,double,1.0/50.0) /**< for each k, stop following wavenumber, at the latest, when aH = k/primordial_inflation_ratio_max */ +class_precision_parameter(primordial_inflation_phi_ini_maxit,int,10000) /**< maximum number of iteration when searching a suitable initial field value phi_ini (value reached when no long-enough slow-roll period before the pivot scale) */ +class_precision_parameter(primordial_inflation_pt_stepsize,double,0.01) /**< controls the integration timestep for inflaton perturbations */ +class_precision_parameter(primordial_inflation_bg_stepsize,double,0.005) /**< controls the integration timestep for inflaton background */ +class_precision_parameter(primordial_inflation_tol_integration,double,1.0e-3) /**< controls the precision of the ODE integration during inflation */ +class_precision_parameter(primordial_inflation_attractor_precision_pivot,double,0.001) /**< targeted precision when searching attractor solution near phi_pivot */ +class_precision_parameter(primordial_inflation_attractor_precision_initial,double,0.1) /**< targeted precision when searching attractor solution near phi_ini */ +class_precision_parameter(primordial_inflation_attractor_maxit,int,10) /**< maximum number of iteration when searching attractor solution */ +class_precision_parameter(primordial_inflation_tol_curvature,double,1.0e-3) /**< for each k, stop following wavenumber, at the latest, when curvature perturbation R is stable up to to this tolerance */ +class_precision_parameter(primordial_inflation_aH_ini_target,double,0.9) /**< control the step size in the search for a suitable initial field value */ +class_precision_parameter(primordial_inflation_end_dphi,double,1.0e-10) /**< first bracketing width, when trying to bracket the value phi_end at which inflation ends naturally */ +class_precision_parameter(primordial_inflation_end_logstep,double,10.0) /**< logarithmic step for updating the bracketing width, when trying to bracket the value phi_end at which inflation ends naturally */ +class_precision_parameter(primordial_inflation_small_epsilon,double,0.1) /**< value of slow-roll parameter epsilon used to define a field value phi_end close to the end of inflation (doesn't need to be exactly at the end): epsilon(phi_end)=small_epsilon (should be smaller than one) */ +class_precision_parameter(primordial_inflation_small_epsilon_tol,double,0.01) /**< tolerance in the search for phi_end */ +class_precision_parameter(primordial_inflation_extra_efolds,double,2.0) /**< a small number of efolds, irrelevant at the end, used in the search for the pivot scale (backward from the end of inflation) */ + +/* + * Transfer function parameters + */ + +class_precision_parameter(l_linstep,int,40) /**< factor for logarithmic spacing of values of l over which bessel and transfer functions are sampled */ + +class_precision_parameter(l_logstep,double,1.12) /**< maximum spacing of values of l over which Bessel and transfer functions are sampled (so, spacing becomes linear instead of logarithmic at some point) */ + +class_precision_parameter(hyper_x_min,double,1.0e-5) /**< flat case: lower bound on the smallest value of x at which we sample \f$ \Phi_l^{\nu}(x)\f$ or \f$ j_l(x)\f$ */ +class_precision_parameter(hyper_sampling_flat,double,8.0) /**< flat case: number of sampled points x per approximate wavelength \f$ 2\pi \f$, should remain >7.5 */ +class_precision_parameter(hyper_sampling_curved_low_nu,double,7.0) /**< open/closed cases: number of sampled points x per approximate wavelength \f$ 2\pi/\nu\f$, when \f$ \nu \f$ smaller than hyper_nu_sampling_step */ +class_precision_parameter(hyper_sampling_curved_high_nu,double,3.0) /**< open/closed cases: number of sampled points x per approximate wavelength \f$ 2\pi/\nu\f$, when \f$ \nu \f$ greater than hyper_nu_sampling_step */ +class_precision_parameter(hyper_nu_sampling_step,double,1000.0) /**< open/closed cases: value of nu at which sampling changes */ +class_precision_parameter(hyper_phi_min_abs,double,1.0e-10) /**< small value of Bessel function used in calculation of first point x (\f$ \Phi_l^{\nu}(x) \f$ equals hyper_phi_min_abs) */ +class_precision_parameter(hyper_x_tol,double,1.0e-4) /**< tolerance parameter used to determine first value of x */ +class_precision_parameter(hyper_flat_approximation_nu,double,4000.0) /**< value of nu below which the flat approximation is used to compute Bessel function */ + +class_precision_parameter(q_linstep,double,0.45) /**< asymptotic linear sampling step in q + space, in units of \f$ 2\pi/r_a(\tau_rec) \f$ + (comoving angular diameter distance to + recombination), very important for CMB */ + +class_precision_parameter(q_logstep_spline,double,170.0) /**< initial logarithmic sampling step in q + space, in units of \f$ 2\pi/r_a(\tau_{rec})\f$ + (comoving angular diameter distance to + recombination), very important for CMB and LSS */ + +class_precision_parameter(q_logstep_open,double,6.0) /**< in open models, the value of + q_logstep_spline must be decreased + according to curvature. Increasing + this number will make the calculation + more accurate for large positive + Omega_k */ + +class_precision_parameter(q_logstep_trapzd,double,20.0) /**< initial logarithmic sampling step in q + space, in units of \f$ 2\pi/r_a(\tau_{rec}) \f$ + (comoving angular diameter distance to + recombination), in the case of small + q's in the closed case, for which one + must used trapezoidal integration + instead of spline (the number of q's + for which this is the case decreases + with curvature and vanishes in the + flat limit) */ + +class_precision_parameter(q_numstep_transition,double,250.0) /**< number of steps for the transition + from q_logstep_trapzd steps to + q_logstep_spline steps (transition + must be smooth for spline) */ + +class_precision_parameter(q_logstep_limber,double,1.025) /**< new in v3.2.2: in the new 'full limber' scheme, logarithmic step for the k-grid (and q-grid) */ +class_precision_parameter(k_max_limber_over_l_max_scalars,double,0.001) /**< new in v3.2.2: in the new 'full limber' scheme, the integral runs up to k_max = l_max_scalars times this parameter (units of 1/Mpc) */ + +class_precision_parameter(transfer_neglect_delta_k_S_t0,double,0.15) /**< for temperature source function T0 of scalar mode, range of k values (in 1/Mpc) taken into account in transfer function: for l < (k-delta_k)*tau0, ie for k > (l/tau0 + delta_k), the transfer function is set to zero */ +class_precision_parameter(transfer_neglect_delta_k_S_t1,double,0.04) /**< same for temperature source function T1 of scalar mode */ +class_precision_parameter(transfer_neglect_delta_k_S_t2,double,0.15) /**< same for temperature source function T2 of scalar mode */ +class_precision_parameter(transfer_neglect_delta_k_S_e,double,0.11) /**< same for polarization source function E of scalar mode */ +class_precision_parameter(transfer_neglect_delta_k_V_t1,double,1.0) /**< same for temperature source function T1 of vector mode */ +class_precision_parameter(transfer_neglect_delta_k_V_t2,double,1.0) /**< same for temperature source function T2 of vector mode */ +class_precision_parameter(transfer_neglect_delta_k_V_e,double,1.0) /**< same for polarization source function E of vector mode */ +class_precision_parameter(transfer_neglect_delta_k_V_b,double,1.0) /**< same for polarization source function B of vector mode */ +class_precision_parameter(transfer_neglect_delta_k_T_t2,double,0.2) /**< same for temperature source function T2 of tensor mode */ +class_precision_parameter(transfer_neglect_delta_k_T_e,double,0.25) /**< same for polarization source function E of tensor mode */ +class_precision_parameter(transfer_neglect_delta_k_T_b,double,0.1) /**< same for polarization source function B of tensor mode */ + +class_precision_parameter(transfer_neglect_late_source,double,400.0) /**< value of l below which the CMB source functions can be neglected at late time, excepted when there is a Late ISW contribution */ + +class_precision_parameter(l_switch_limber,double,10.) /**< when to use the Limber approximation for project gravitational potential cl's */ +// For density Cl, we recommend not to use the Limber approximation +// at all, and hence to put here a very large number (e.g. 10000); but +// if you have wide and smooth selection functions you may wish to +// use it; then 100 might be OK +class_precision_parameter(l_switch_limber_for_nc_local_over_z,double,100.0) /**< when to use the Limber approximation for local number count contributions to cl's (relative to central redshift of each bin) */ +// For terms integrated along the line-of-sight involving spherical +// Bessel functions (but not their derivatives), Limber +// approximation works well. High precision can be reached with 2000 +// only. But if you have wide and smooth selection functions you may +// reduce to e.g. 30. +class_precision_parameter(l_switch_limber_for_nc_los_over_z,double,30.0) /**< when to use the Limber approximation for number count contributions to cl's integrated along the line-of-sight (relative to central redshift of each bin) */ + +class_precision_parameter(selection_cut_at_sigma,double,5.0)/**< in sigma units, where to cut gaussian selection functions */ +class_precision_parameter(selection_sampling,double,50.0) /**< controls sampling of integral over time when selection functions vary quicker than Bessel functions. Increase for better sampling. */ +class_precision_parameter(selection_sampling_bessel,double,20.0)/**< controls sampling of integral over time when selection functions vary slower than Bessel functions. Increase for better sampling. IMPORTANT for lensed contributions. */ +class_precision_parameter(selection_sampling_bessel_los,double,ppr->selection_sampling_bessel)/**< controls sampling of integral over time when selection functions vary slower than Bessel functions. This parameter is specific to number counts contributions to Cl integrated along the line of sight. Increase for better sampling */ +class_precision_parameter(selection_tophat_edge,double,0.1) /**< controls how smooth are the edge of top-hat window function (<<1 for very sharp, 0.1 for sharp) */ + +/* + * Fourier module precision parameters + * */ + +class_precision_parameter(sigma_k_per_decade,double,80.) /**< logarithmic stepsize controlling the precision of integrals for sigma(R,k) and similar quantitites */ + +class_precision_parameter(nonlinear_min_k_max,double,5.0) /**< when + using an algorithm to compute nonlinear + corrections, like halofit or hmcode, + k_max must be at least equal to this + value. Calculations are done internally + until this k_max, but the P(k,z) output + is still controlled by P_k_max_1/Mpc or + P_k_max_h/Mpc even if they are + smaller */ + +class_precision_parameter(k_max_for_pk_sigma8_min,double,10.) /**< minimal k_max for computation of sigma8 */ +class_precision_parameter(k_max_for_pk_sigma8_max,double,100.) /**< maximal k_max for computation of sigma8 */ + +/** parameters relevant for HALOFIT computation */ + +class_precision_parameter(halofit_min_k_nonlinear,double,1.0e-4)/**< value of k in 1/Mpc below which non-linear corrections will be neglected */ + +class_precision_parameter(halofit_k_per_decade,double,80.0) /**< halofit needs to evalute integrals + (linear power spectrum times some + kernels). They are sampled using + this logarithmic step size. */ + +class_precision_parameter(halofit_sigma_precision,double,0.05) /**< a smaller value will lead to a + more precise halofit result at the *highest* + redshift at which halofit can make computations, + at the expense of requiring a larger k_max; but + this parameter is not relevant for the + precision on P_nl(k,z) at other redshifts, so + there is normally no need to change it */ + +class_precision_parameter(halofit_tol_sigma,double,1.0e-6) /**< tolerance required on sigma(R) when + matching the condition sigma(R_nl)=1, + whcih defines the wavenumber of + non-linearity, k_nl=1./R_nl */ + +class_precision_parameter(pk_eq_z_max,double,5.0) /**< Maximum z for the pk_eq method */ +class_precision_parameter(pk_eq_Nzlog,int,10) /**< Number of logarithmically spaced redshift values for the pk_eq method */ +class_precision_parameter(pk_eq_tol,double,1.0e-7) /**< Tolerance on the pk_eq method for finding the pk */ + +/** Parameters relevant for HMcode computation */ + +class_precision_parameter(hmcode_max_k_extra,double,1.e6) /**< parameter specifying the maximum k value for + the extrapolation of the linear power spectrum + (needed for the sigma computation) */ + +class_precision_parameter(hmcode_tol_sigma,double,1.e-6) /**< tolerance required on sigma(R) when matching the + condition sigma(R_nl)=1, which defines the wavenumber + of non-linearity, k_nl=1./R_nl */ + +/** + * parameters controlling stepsize and min/max r & a values for + * sigma(r) & grow table + */ +class_precision_parameter(n_hmcode_tables,int,64) +class_precision_parameter(rmin_for_sigtab,double,1.e-5) +class_precision_parameter(rmax_for_sigtab,double,1.e3) +class_precision_parameter(ainit_for_growtab,double,1.e-3) +class_precision_parameter(amax_for_growtab,double,1.) + +/** + * parameters controlling stepsize and min/max halomass values for the + * 1-halo-power integral + */ +class_precision_parameter(nsteps_for_p1h_integral,int,256) +class_precision_parameter(mmin_for_p1h_integral,double,1.e3) +class_precision_parameter(mmax_for_p1h_integral,double,1.e18) + + +/* + * Lensing precision parameters + */ + +class_precision_parameter(accurate_lensing,int,_FALSE_) /**< switch between Gauss-Legendre quadrature integration and simple quadrature on a subdomain of angles */ +class_precision_parameter(num_mu_minus_lmax,int,70) /**< difference between num_mu and l_max, increase for more precision */ +class_precision_parameter(delta_l_max,int,500)/**< difference between l_max in unlensed and lensed spectra */ +class_precision_parameter(tol_gauss_legendre,double,ppr->smallest_allowed_variation) /**< tolerance with which quadrature points are found: must be very small for an accurate integration (if not entered manually, set automatically to match machine precision) */ + +/* + * Spectral distortions precision parameters + */ + +class_precision_parameter(sd_z_min,double,1.02e3) +class_precision_parameter(sd_z_max,double,5.0e6) +class_precision_parameter(sd_z_size,int,400) + +class_precision_parameter(sd_x_min,double,1.0e-2) +class_precision_parameter(sd_x_max,double,5.0e1) +class_precision_parameter(sd_x_size,int,500) + +/** + * Tolerance on the deviation of the distortions detector quality + */ +class_precision_parameter(tol_sd_detector,double,1.e-5) + +class_string_parameter(sd_external_path,"/external/distortions","sd_external_path") + + +class_precision_parameter(tol_einstein00_reldev,double,1.e-3) /**< tolerance to deviations w.r.t. the Einstein 00 equation. Useful if get_h_from_trace,int==_TRUE_. (not only _smg!!) */ + +class_precision_parameter(einstein00_friction,double,1.) /**< friction term muliplying the Einstein 00 equation to correct for h''. (not only _smg!!) */ + +/* + * hi_class (_smg) parameters + * */ + +/* This is the time at which we test for the initial value of the QS approximation. +It has to be at least a_ini_over_a_today_default */ +class_precision_parameter(a_ini_test_qs_smg,double,1.e-14) + +class_precision_parameter(n_min_qs_smg,int,1e2) /**< minimum number of steps used to sample the quantities in the quasi-static approximation (qs_smg) */ +class_precision_parameter(n_max_qs_smg,int,1e4) /**< maximum number of steps used to sample the quantities in the quasi-static approximation (qs_smg) */ +class_precision_parameter(z_fd_qs_smg,double,10.) /**< minimum redshift after which the user requires the full-dynamic evolution */ +class_precision_parameter(trigger_mass_qs_smg,double,1.e3) /**< if the mass is above this trigger the quasi-static approximation is switched on */ +class_precision_parameter(trigger_rad_qs_smg,double,1.e3) /**< if the radiation component is still important w.r.t.\ the scalar field the quasi-static approximation can not be used */ +class_precision_parameter(eps_s_qs_smg,double,0.01) /**< when the system enters the quasi-static evolution this parameter measures how much the oscillation are decaying with time */ + + +class_precision_parameter(min_a_pert_smg,double,1.) /**< minimum value of scale factor to start integration (important to test some ede models */ +class_precision_parameter(pert_ic_tolerance_smg,double,2.e-2) /**< tolerance to deviations from n=2 for IC h~tau^n. Negative values override test */ +class_precision_parameter(pert_ic_ini_z_ref_smg,double,1.e10) /** off */ +class_precision_parameter(pert_qs_ic_tolerance_test_smg,double,1.) /* maximal fractional contribution to (0i) equation of SMG terms in QS initial condition */ + +#undef class_precision_parameter +#undef class_string_parameter +#undef class_type_parameter diff --git a/include/primordial.h b/include/primordial.h old mode 100755 new mode 100644 index 44289f6e..7c4fe946 --- a/include/primordial.h +++ b/include/primordial.h @@ -8,65 +8,65 @@ /** enum defining how the primordial spectrum should be computed */ enum primordial_spectrum_type { - analytic_Pk, - two_scales, - inflation_V, - inflation_H, - inflation_V_end, - external_Pk + analytic_Pk, + two_scales, + inflation_V, + inflation_H, + inflation_V_end, + external_Pk }; /** enum defining whether the spectrum routine works with linear or logarithmic input/output */ enum linear_or_logarithmic { - linear, - logarithmic + linear, + logarithmic }; /** enum defining the type of inflation potential function V(phi) */ enum potential_shape { - polynomial, - natural, - higgs_inflation + polynomial, + natural, + higgs_inflation }; /** enum defining which quantity plays the role of a target for evolving inflationary equations */ enum target_quantity { - _aH_, - _phi_, - _end_inflation_, - _a_ + _aH_, + _phi_, + _end_inflation_, + _a_ }; /** enum specifying if we want to integrate equations forward or backward in time */ enum integration_direction { - backward, - forward + backward, + forward }; /** enum specifying if we want to evolve quantities with conformal or proper time */ enum time_definition { - conformal, - proper + conformal, + proper }; /** enum specifying how, in the inflation_V_end case, the value of phi_pivot should calculated */ enum phi_pivot_methods { - N_star, - ln_aH_ratio, - ln_aH_ratio_auto + N_star, + ln_aH_ratio, + ln_aH_ratio_auto }; /** enum specifying how the inflation module computes the primordial spectrum (default: numerical) */ enum inflation_module_behavior { - numerical, - analytical + numerical, + analytical }; /** @@ -85,6 +85,8 @@ struct primordial { //@{ double k_pivot; /**< pivot scale in \f$ Mpc^{-1} \f$ */ + int has_k_max_for_primordial_pk; + double k_max_for_primordial_pk; /**< maximum value of k in 1/Mpc in P(k) */ enum primordial_spectrum_type primordial_spec_type; /**< type of primordial spectrum (simple analytic from, integration of inflationary perturbations, etc.) */ @@ -346,7 +348,7 @@ extern "C" { int primordial_init( struct precision * ppr, - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ); @@ -355,7 +357,7 @@ extern "C" { ); int primordial_indices( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ); @@ -367,7 +369,7 @@ extern "C" { ); int primordial_analytic_spectrum_init( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ); @@ -388,40 +390,40 @@ extern "C" { ); int primordial_inflation_hubble( - struct primordial * ppm, - double phi, - double * H, - double * dH, - double * ddH, - double * dddH - ); + struct primordial * ppm, + double phi, + double * H, + double * dH, + double * ddH, + double * dddH + ); int primordial_inflation_indices( struct primordial * ppm ); int primordial_inflation_solve_inflation( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr ); int primordial_inflation_analytic_spectra( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini ); int primordial_inflation_spectra( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini ); int primordial_inflation_one_wavenumber( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini, @@ -500,16 +502,16 @@ extern "C" { ); int primordial_external_spectrum_init( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ); - int primordial_output_titles(struct perturbs * ppt, + int primordial_output_titles(struct perturbations * ppt, struct primordial * ppm, char titles[_MAXTITLESTRINGLENGTH_] ); - int primordial_output_data(struct perturbs * ppt, + int primordial_output_data(struct perturbations * ppt, struct primordial * ppm, int number_of_titles, double *data); diff --git a/include/sparse.h b/include/sparse.h old mode 100755 new mode 100644 diff --git a/include/spectra.h b/include/spectra.h deleted file mode 100755 index 8b713279..00000000 --- a/include/spectra.h +++ /dev/null @@ -1,486 +0,0 @@ -/** @file spectra.h Documented includes for spectra module */ - -#ifndef __SPECTRA__ -#define __SPECTRA__ - -#include "transfer.h" - -/** - * Structure containing everything about anisotropy and Fourier power spectra that other modules need to know. - * - * Once initialized by spectra_init(), contains a table of all - * \f$ C_l\f$'s and P(k) as a function of multipole/wavenumber, - * mode (scalar/tensor...), type (for \f$ C_l\f$'s: TT, TE...), - * and pairs of initial conditions (adiabatic, isocurvatures...). - */ - -struct spectra { - - /** @name - input parameters initialized by user in input module - (all other quantities are computed in this module, given these parameters - and the content of the 'background', 'perturbs', 'transfers' and - 'primordial' structures) */ - - //@{ - - double z_max_pk; /**< maximum value of z at which matter spectrum P(k,z) will be evaluated; keep fixed to zero if P(k) only needed today */ - - - int non_diag; /**< sets the number of cross-correlation spectra - that you want to calculate: 0 means only - auto-correlation, 1 means only adjacent bins, - and number of bins minus one means all - correlations */ - - //@} - - /** @name - information on number of modes and pairs of initial conditions */ - - //@{ - - int md_size; /**< number of modes (scalar, tensor, ...) included in computation */ - int index_md_scalars; /**< index for scalar modes */ - - int * ic_size; /**< for a given mode, ic_size[index_md] = number of initial conditions included in computation */ - int * ic_ic_size; /**< for a given mode, ic_ic_size[index_md] = number of pairs of (index_ic1, index_ic2) with index_ic2 >= index_ic1; this number is just N(N+1)/2 where N = ic_size[index_md] */ - short ** is_non_zero; /**< for a given mode, is_non_zero[index_md][index_ic1_ic2] is set to true if the pair of initial conditions (index_ic1, index_ic2) are statistically correlated, or to false if they are uncorrelated */ - - //@} - - /** @name - information on number of type of C_l's (TT, TE...) */ - - //@{ - - int has_tt; /**< do we want \f$ C_l^{TT}\f$? (T = temperature) */ - int has_ee; /**< do we want \f$ C_l^{EE}\f$? (E = E-polarization) */ - int has_te; /**< do we want \f$ C_l^{TE}\f$? */ - int has_bb; /**< do we want \f$ C_l^{BB}\f$? (B = B-polarization) */ - int has_pp; /**< do we want \f$ C_l^{\phi\phi}\f$? (\f$ \phi \f$ = CMB lensing potential) */ - int has_tp; /**< do we want \f$ C_l^{T\phi}\f$? */ - int has_ep; /**< do we want \f$ C_l^{E\phi}\f$? */ - int has_dd; /**< do we want \f$ C_l^{dd}\f$? (d = density) */ - int has_td; /**< do we want \f$ C_l^{Td}\f$? */ - int has_pd; /**< do we want \f$ C_l^{\phi d}\f$? */ - int has_ll; /**< do we want \f$ C_l^{ll}\f$? (l = galaxy lensing potential) */ - int has_tl; /**< do we want \f$ C_l^{Tl}\f$? */ - int has_dl; /**< do we want \f$ C_l^{dl}\f$? */ - - int index_ct_tt; /**< index for type \f$ C_l^{TT} \f$*/ - int index_ct_ee; /**< index for type \f$ C_l^{EE} \f$*/ - int index_ct_te; /**< index for type \f$ C_l^{TE} \f$*/ - int index_ct_bb; /**< index for type \f$ C_l^{BB} \f$*/ - int index_ct_pp; /**< index for type \f$ C_l^{\phi\phi} \f$*/ - int index_ct_tp; /**< index for type \f$ C_l^{T\phi} \f$*/ - int index_ct_ep; /**< index for type \f$ C_l^{E\phi} \f$*/ - int index_ct_dd; /**< first index for type \f$ C_l^{dd} \f$((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values) */ - int index_ct_td; /**< first index for type \f$ C_l^{Td} \f$(d_size values) */ - int index_ct_pd; /**< first index for type \f$ C_l^{pd} \f$(d_size values) */ - int index_ct_ll; /**< first index for type \f$ C_l^{ll} \f$((d_size*d_size-(d_size-non_diag)*(d_size-non_diag-1)/2) values) */ - int index_ct_tl; /**< first index for type \f$ C_l^{Tl} \f$(d_size values) */ - int index_ct_dl; /**< first index for type \f$ C_l^{dl} \f$(d_size values) */ - - int d_size; /**< number of bins for which density Cl's are computed */ - - int ct_size; /**< number of \f$ C_l \f$ types requested */ - - //@} - - /** @name - table of pre-computed C_l values, and related quantities */ - - //@{ - - int * l_size; /**< number of multipole values for each requested mode, l_size[index_md] */ - - int l_size_max; /**< greatest of all l_size[index_md] */ - - double * l; /**< list of multipole values l[index_l] */ - - - int ** l_max_ct; /**< last multipole (given as an input) at which - we want to output \f$ C_l\f$'s for a given mode and type; - l[index_md][l_size[index_md]-1] can be larger - than l_max[index_md], in order to ensure a - better interpolation with no boundary effects */ - - int * l_max; /**< last multipole (given as an input) at which - we want to output \f$ C_l\f$'s for a given mode (maximized over types); - l[index_md][l_size[index_md]-1] can be larger - than l_max[index_md], in order to ensure a - better interpolation with no boundary effects */ - - int l_max_tot; /**< last multipole (given as an input) at which - we want to output \f$ C_l\f$'s (maximized over modes and types); - l[index_md][l_size[index_md]-1] can be larger - than l_max[index_md], in order to ensure a - better interpolation with no boundary effects */ - - double ** cl; /**< table of anisotropy spectra for each mode, multipole, pair of initial conditions and types, cl[index_md][(index_l * psp->ic_ic_size[index_md] + index_ic1_ic2) * psp->ct_size + index_ct] */ - double ** ddcl; /**< second derivatives of previous table with respect to l, in view of spline interpolation */ - - double alpha_II_2_20; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers) */ - double alpha_RI_2_20; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers) */ - double alpha_RR_2_20; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,20] (see Planck parameter papers) */ - - double alpha_II_21_200; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers) */ - double alpha_RI_21_200; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers) */ - double alpha_RR_21_200; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [21,200] (see Planck parameter papers) */ - - double alpha_II_201_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers) */ - double alpha_RI_201_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers) */ - double alpha_RR_201_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [201,2500] (see Planck parameter papers) */ - - double alpha_II_2_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers) */ - double alpha_RI_2_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers) */ - double alpha_RR_2_2500; /**< parameter describing adiabatic versus isocurvature contribution in mutipole range [2,2500] (see Planck parameter papers) */ - - double alpha_kp; /**< parameter describing adiabatic versus isocurvature contribution at pivot scale (see Planck parameter papers) */ - double alpha_k1; /**< parameter describing adiabatic versus isocurvature contribution at scale k1 (see Planck parameter papers) */ - double alpha_k2; /**< parameter describing adiabatic versus isocurvature contribution at scale k2 (see Planck parameter papers) */ - - //@} - - /** @name - table of pre-computed matter power spectrum P(k) values, and related quantities */ - - //@{ - - int ln_k_size; /**< number ln(k) values */ - double * ln_k; /**< list of ln(k) values ln_k[index_k] */ - - int ln_tau_size; /**< number of ln(tau) values, for the matter - power spectrum and the matter transfer - functions, (only one if z_max_pk = 0) */ - - double * ln_tau; /**< list of ln(tau) values ln_tau[index_tau], for - the matter power spectrum and the matter - transfer functions, in growing order. So - exp(ln_tau[0]) is the earliest time - (i.e. highest redshift), while - exp(ln_tau[ln_tau_size-1]) is today (i.e - z=0). */ - - double * ln_pk; /**< Matter power spectrum. - depends on indices index_ic1_ic2, index_k, index_tau as: - ln_pk[(index_tau * psp->k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] - where index_ic1_ic2 labels ordered pairs (index_ic1, index_ic2) (since - the primordial spectrum is symmetric in (index_ic1, index_ic2)). - - for diagonal elements (index_ic1 = index_ic2) this arrays contains - ln[P(k)] where P(k) is positive by construction. - - for non-diagonal elements this arrays contains the k-dependent - cosine of the correlation angle, namely - P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] - This choice is convenient since the sign of the non-diagonal cross-correlation - is arbitrary. For fully correlated or anti-correlated initial conditions, - this non-diagonal element is independent on k, and equal to +1 or -1. - */ - - double * ddln_pk; /**< second derivative of above array with respect to log(tau), for spline interpolation. So: - - for index_ic1 = index_ic, we spline ln[P(k)] vs. ln(k), which is - good since this function is usually smooth. - - for non-diagonal coefficients, we spline - P(k)_(index_ic1, index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2] - vs. ln(k), which is fine since this quantity is often assumed to be - constant (e.g for fully correlated/anticorrelated initial conditions) - or nearly constant, and with arbitrary sign. - */ - - double sigma8; /**< sigma8 parameter */ - - double sigma8_cb; /**< if ncdm present: contribution to sigma8 from only baryons and cdm */ - - double * ln_pk_l; /**q< Total linear matter power spectrum, just - depending on indices index_k, index_tau as: - ln_pk[index_tau * psp->k_size + index_k] - Range of k and tau value identical to - ln_pk array. */ - - double * ddln_pk_l; /**< second derivative of above array with respect to log(tau), for spline interpolation. */ - - int ln_tau_nl_size; /**< number of ln(tau) values for non-linear - spectrum (possibly smaller than ln_tau_size, - because the non-linear spectrum is stored - only in the time/redhsift range where the - non-linear corrections were really computed, - to avoid dealing with discontinuities in - the spline interpolation) */ - - double * ln_tau_nl; /**< list of ln(tau) values - ln_tau_nl[index_tau], for the non-linear - power spectrum, in growing order. So - exp(ln_tau_nl[0]) is the earliest time - (i.e. highest redshift), while - exp(ln_tau_nl[ln_tau_nl_size-1]) is today - (i.e z=0). */ - - double * ln_pk_nl; /**< Non-linear matter power spectrum. - depends on indices index_k, index_tau as: - ln_pk_nl[index_tau * psp->k_size + index_k] */ - double * ddln_pk_nl; /**< second derivative of above array with respect to log(tau), for spline interpolation. */ - - double * ln_pk_cb; /**< same as ln_pk for baryon+cdm component only */ - double * ddln_pk_cb; /**< same as ddln_pk for baryon+cdm component only */ - - double * ln_pk_cb_l; /**< same as ln_pk_l for baryon+cdm component only */ - double * ddln_pk_cb_l; /**< same as ddln_pk_l for baryon+cdm component only */ - - double * ln_pk_cb_nl; /**< same as ln_pk_nl for baryon+cdm component only */ - double * ddln_pk_cb_nl; /**< same as ddln_pk_nl for baryon+cdm component only */ - - int index_tr_delta_g; /**< index of gamma density transfer function */ - int index_tr_delta_b; /**< index of baryon density transfer function */ - int index_tr_delta_cdm; /**< index of cold dark matter density transfer function */ - int index_tr_delta_dcdm; /**< index of decaying cold dark matter density transfer function */ - int index_tr_delta_scf; /**< index of scalar field phi transfer function */ - int index_tr_delta_fld; /**< index of dark energy fluid density transfer function */ - int index_tr_delta_ur; /**< index of ultra-relativistic neutrinos/relics density transfer function */ - int index_tr_delta_dr; /**< index of decay radiation density transfer function */ - int index_tr_delta_ncdm1; /**< index of first species of non-cold dark matter (massive neutrinos, ...) density transfer function */ - int index_tr_delta_tot; /**< index of total matter density transfer function */ - int index_tr_theta_g; /**< index of gamma velocity transfer function */ - int index_tr_theta_b; /**< index of baryon velocity transfer function */ - int index_tr_theta_cdm; /**< index of cold dark matter velocity transfer function */ - int index_tr_theta_dcdm; /**< index of decaying cold dark matter velocity transfer function */ - int index_tr_theta_scf; /**< index of derivative of scalar field phi transfer function */ - int index_tr_theta_fld; /**< index of dark energy fluid velocity transfer function */ - int index_tr_theta_ur; /**< index of ultra-relativistic neutrinos/relics velocity transfer function */ - int index_tr_theta_dr; /**< index of decay radiation velocity transfer function */ - int index_tr_theta_ncdm1; /**< index of first species of non-cold dark matter (massive neutrinos, ...) velocity transfer function */ - int index_tr_theta_tot; /**< index of total matter velocity transfer function */ - int index_tr_phi; /**< index of Bardeen potential phi */ - int index_tr_psi; /**< index of Bardeen potential psi */ - int index_tr_phi_prime; /**< index of derivative of Bardeen potential phi */ - int index_tr_h; /**< index of synchronous gauge metric perturbation h */ - int index_tr_h_prime; /**< index of synchronous gauge metric perturbation h' */ - int index_tr_eta; /**< index of synchronous gauge metric perturbation eta */ - int index_tr_eta_prime; /**< index of synchronous gauge metric perturbation eta' */ - int tr_size; /**< total number of species in transfer functions */ - - double * matter_transfer; /**< Matter transfer functions. - Depends on indices index_md,index_tau,index_ic,index_k, index_tr as: - matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + index_tr] - */ - double * ddmatter_transfer; /**< second derivative of above array with respect to log(tau), for spline interpolation. */ - - /* double * LddCl; /\**< density Cl's in the Limber plus thin shell approximation (then, there are no non-diagonal correlations between various shells of different redshifts); depends on index_tau,index_l as: LddCl[index_tau*psp->psp->l_size[psp->index_md_scalars]+index_l] *\/ */ - - /* double * LTdCl; /\**< cross (temperature * density) Cl's in the Limber plus thin shell approximation; depends on index_tau,index_l as: LTdCl[index_tau*psp->psp->l_size[psp->index_md_scalars]+index_l] *\/ */ - - //@} - - /** @name - technical parameters */ - - //@{ - - short spectra_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ - - ErrorMsg error_message; /**< zone for writing error messages */ - - //@} -}; - -/*************************************************************************************************************/ -/* @cond INCLUDE_WITH_DOXYGEN */ -/* - * Boilerplate for C++ - */ -#ifdef __cplusplus -extern "C" { -#endif - - int spectra_bandpower( - struct spectra * psp, - int l1, - int l2, - double * TT_II, - double * TT_RI, - double * TT_RR - ); - - int spectra_cl_at_l( - struct spectra * psp, - double l, - double * cl, - double ** cl_md, - double ** cl_md_ic - ); - - int spectra_pk_at_z( - struct background * pba, - struct spectra * psp, - enum linear_or_logarithmic mode, - double z, - double * output_tot, - double * output_ic, - double * output_cb_tot, - double * output_cb_ic - ); - - int spectra_pk_at_k_and_z( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double k, - double z, - double * pk, - double * pk_ic, - double * pk_cb, - double * pk_cb_ic - ); - - int spectra_pk_nl_at_z( - struct background * pba, - struct spectra * psp, - enum linear_or_logarithmic mode, - double z, - double * output_tot, - double * output_cb_tot - ); - - int spectra_pk_nl_at_k_and_z( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double k, - double z, - double * pk_tot, - double * pk_cb_tot - ); - - int spectra_tk_at_z( - struct background * pba, - struct spectra * psp, - double z, - double * output - ); - - int spectra_tk_at_k_and_z( - struct background * pba, - struct spectra * psp, - double k, - double z, - double * output - ); - - int spectra_init( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - struct primordial * ppm, - struct nonlinear *pnl, - struct transfers * ptr, - struct spectra * psp - ); - - int spectra_free( - struct spectra * psp - ); - - int spectra_indices( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp - ); - - int spectra_cls( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp - ); - - int spectra_compute_cl( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - int index_md, - int index_ic1, - int index_ic2, - int index_l, - int cl_integrand_num_columns, - double * cl_integrand, - double * primordial_pk, - double * transfer_ic1, - double * transfer_ic2 - ); - - int spectra_k_and_tau( - struct background * pba, - struct perturbs * ppt, - struct nonlinear *pnl, - struct spectra * psp - ); - - int spectra_pk( - struct background * pba, - struct perturbs * ppt, - struct primordial * ppm, - struct nonlinear *pnl, - struct spectra * psp - ); - - int spectra_sigma( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double R, - double z, - double *sigma - ); - - int spectra_sigma_cb( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double R, - double z, - double *sigma_cb - ); - - int spectra_matter_transfers( - struct background * pba, - struct perturbs * ppt, - struct spectra * psp - ); - - int spectra_output_tk_titles(struct background *pba, - struct perturbs *ppt, - enum file_format output_format, - char titles[_MAXTITLESTRINGLENGTH_] - ); - - int spectra_output_tk_data( - struct background * pba, - struct perturbs * ppt, - struct spectra * psp, - enum file_format output_format, - double z, - int number_of_titles, - double *data - ); - - int spectra_firstline_and_ic_suffix(struct perturbs *ppt, - int index_ic, - char first_line[_LINE_LENGTH_MAX_], - FileName ic_suffix); - - int spectra_fast_pk_at_kvec_and_zvec( - struct background * pba, - struct spectra * psp, - double * kvec, - int kvec_size, - double * zvec, - int zvec_size, - double * pk_tot_out, /* (must be already allocated with kvec_size*zvec_size) */ - double * pk_cb_tot_out, - int nonlinear); - -#ifdef __cplusplus -} -#endif - -#endif -/* @endcond */ diff --git a/include/thermodynamics.h b/include/thermodynamics.h old mode 100755 new mode 100644 index efc03171..f02f2591 --- a/include/thermodynamics.h +++ b/include/thermodynamics.h @@ -4,17 +4,19 @@ #define __THERMODYNAMICS__ #include "background.h" -//#include "arrays.h" -//#include "helium.h" -//#include "hydrogen.h" +#include "evolver_ndf15.h" +#include "evolver_rkck.h" +#include "wrap_hyrec.h" +#include "wrap_recfast.h" +#include "injection.h" /** * List of possible recombination algorithms. */ enum recombination_algorithm { - recfast, - hyrec + recfast, + hyrec }; /** @@ -22,12 +24,12 @@ enum recombination_algorithm { */ enum reionization_parametrization { - reio_none, /**< no reionization */ - reio_camb, /**< reionization parameterized like in CAMB */ - reio_bins_tanh, /**< binned reionization history with tanh inteprolation between bins */ - reio_half_tanh, /**< half a tanh, instead of the full tanh */ - reio_many_tanh, /**< similar to reio_camb but with more than one tanh */ - reio_inter /**< linear interpolation between specified points */ + reio_none, /**< no reionization */ + reio_camb, /**< reionization parameterized like in CAMB */ + reio_bins_tanh, /**< binned reionization history with tanh inteprolation between bins */ + reio_half_tanh, /**< half a tanh, instead of the full tanh */ + reio_many_tanh, /**< similar to reio_camb but with more than one tanh */ + reio_inter /**< linear interpolation between specified points */ }; /** @@ -35,8 +37,8 @@ enum reionization_parametrization { */ enum reionization_z_or_tau { - reio_z, /**< input = redshift */ - reio_tau /**< input = tau */ + reio_z, /**< input = redshift */ + reio_tau /**< input = tau */ }; /** @@ -49,24 +51,25 @@ enum reionization_z_or_tau { /** * All thermodynamics parameters and evolution that other modules need to know. * - * Once initialized by thermodynamics_init(), contains all the - * necessary information on the thermodynamics, and in particular, a - * table of thermodynamical quantities as a function of the redshift, - * used for interpolation in other modules. + * Once initialized by thermodynamics_init(), contains all the necessary information on the thermodynamics, and in particular, a + * table of thermodynamical quantities as a function of the redshift, used for interpolation in other modules. */ -struct thermo +struct thermodynamics { - /** @name - input parameters initialized by user in input module - * (all other quantities are computed in this module, given these parameters + /** @name - input parameters initialized by user in input module (all other quantities are computed in this module, given these parameters * and the content of the 'precision' and 'background' structures) */ //@{ - double YHe; /**< \f$ Y_{He} \f$: primordial helium fraction */ + double YHe; /**< \f$ Y_{He} \f$: primordial helium mass fraction rho_He/(rho_H+rho_He), + close but not exactly equal to the density fraction 4*n_He/(n_H+4*n_He) */ + double bbn_alpha_sensitivity; /**< Related to variation of fundamental constants (sensitivity of YHe to alpha) */ enum recombination_algorithm recombination; /**< recombination code */ + enum recfast_photoion_modes recfast_photoion_mode; /**< photo-ionization coefficient mode of the recfast algorithm */ + enum reionization_parametrization reio_parametrization; /**< reionization scheme */ enum reionization_z_or_tau reio_z_or_tau; /**< is the input parameter the reionization redshift or optical depth? */ @@ -79,6 +82,12 @@ struct thermo short compute_damping_scale; /**< do we want to compute the simplest analytic approximation to the photon damping (or diffusion) scale? */ + /** parameters for interacting dark matter */ + + short has_idm_b; /**< Do we have idm with baryons? */ + short has_idm_g; /**< Do we have idm with photons? */ + short has_idm_dr; /**< Do we have idm with dark radiation? */ + /** parameters for reio_camb */ double reionization_width; /**< width of H reionization */ @@ -99,7 +108,7 @@ struct thermo double binned_reio_step_sharpness; /**< sharpness of tanh() step interpolating between binned values */ - /** parameters for reio_many_tanh */ + /** parameters for reio_many_tanh */ int many_tanh_num; /**< with how many jumps do we want to describe reionization? */ @@ -109,7 +118,7 @@ struct thermo double many_tanh_width; /**< sharpness of tanh() steps */ - /** parameters for reio_inter */ + /** parameters for reio_inter */ int reio_inter_num; /**< with how many jumps do we want to describe reionization? */ @@ -119,37 +128,52 @@ struct thermo /** parameters for energy injection */ - double annihilation; /** parameter describing CDM annihilation (f / m_cdm, see e.g. 0905.0003) */ + short has_exotic_injection; /**< true if some exotic mechanism + injects energy and affects the + evolution of ionization and/or + temperature and/or other + thermodynamics variables that are + relevant for the calculation of CMB + anisotropies (and spectral + distorsions if requested). */ - short has_on_the_spot; /** flag to specify if we want to use the on-the-spot approximation **/ + struct injection in; /**< structure to store exotic energy injections and their energy deposition */ - double decay; /** parameter describing CDM decay (f/tau, see e.g. 1109.6322)*/ + double annihilation; /**< parameter describing CDM annihilation (f / m_cdm, see e.g. 0905.0003) */ - double annihilation_variation; /** if this parameter is non-zero, - the function F(z)=(f / - m_cdm)(z) will be a parabola in - log-log scale between zmin and - zmax, with a curvature given by - annihlation_variation (must be - negative), and with a maximum in - zmax; it will be constant outside - this range */ + short has_on_the_spot; /**< flag to specify if we want to use the on-the-spot approximation **/ + + double decay; /**< parameter describing CDM decay (f/tau, see e.g. 1109.6322)*/ + + double annihilation_variation; /**< if this parameter is non-zero, + the function F(z)=(f / + m_cdm)(z) will be a parabola in + log-log scale between zmin and + zmax, with a curvature given by + annihlation_variation (must be + negative), and with a maximum in + zmax; it will be constant outside + this range */ + + double annihilation_z; /**< if annihilation_variation is non-zero, + this is the value of z at which the + parameter annihilation is defined, i.e. + F(annihilation_z)=annihilation */ + + double annihilation_zmax; /**< if annihilation_variation is non-zero, + redshift above which annihilation rate + is maximal */ - double annihilation_z; /** if annihilation_variation is non-zero, - this is the value of z at which the - parameter annihilation is defined, i.e. - F(annihilation_z)=annihilation */ + double annihilation_zmin; /**< if annihilation_variation is non-zero, + redshift below which annihilation rate + is constant */ - double annihilation_zmax; /** if annihilation_variation is non-zero, - redshift above which annihilation rate - is maximal */ + double annihilation_f_halo; /**< takes the contribution of DM annihilation in halos into account*/ + double annihilation_z_halo; /**< characteristic redshift for DM annihilation in halos*/ - double annihilation_zmin; /** if annihilation_variation is non-zero, - redshift below which annihilation rate - is constant */ + /** parameters for varying fundamental constants */ - double annihilation_f_halo; /** takes the contribution of DM annihilation in halos into account*/ - double annihilation_z_halo; /** characteristic redshift for DM annihilation in halos*/ + short has_varconst; /**< presence of varying fundamental constants? */ //@} @@ -162,16 +186,36 @@ struct thermo int index_th_tau_d; /**< Baryon drag optical depth */ int index_th_ddkappa; /**< scattering rate derivative \f$ d^2 \kappa / d \tau^2 \f$ */ int index_th_dddkappa; /**< scattering rate second derivative \f$ d^3 \kappa / d \tau^3 \f$ */ - int index_th_exp_m_kappa; /**< \f$ exp^{-\kappa} \f$ */ + int index_th_exp_m_kappa; /**< \f$ exp^{-\kappa} \f$ */ int index_th_g; /**< visibility function \f$ g = (d \kappa / d \tau) * exp^{-\kappa} \f$ */ int index_th_dg; /**< visibility function derivative \f$ (d g / d \tau) \f$ */ int index_th_ddg; /**< visibility function second derivative \f$ (d^2 g / d \tau^2) \f$ */ + int index_th_T_idm; /**< idm temperature \f$ T_idm \f$ */ + int index_th_c2_idm; /**< idm sound speed squared \f$ c_idm^2 \f$ */ + int index_th_T_idr; /**< idr temperature \f$ T_idr \f$ */ + int index_th_dmu_idm_dr; /**< scattering rate of idr with idm_g_dr (i.e. idr opacity to idm_g_dr scattering) (units 1/Mpc) */ + int index_th_ddmu_idm_dr; /**< derivative of the idm_g_dr scattering rate */ + int index_th_dddmu_idm_dr; /**< second derivative of the idm_g_dr scattering rate */ + int index_th_dmu_idr; /**< idr self-interaction rate */ + int index_th_tau_idm_dr; /**< optical depth of idm_dr (due to interactions with idr) */ + int index_th_tau_idr; /**< optical depth of idr (due to self-interactions) */ + int index_th_g_idm_dr; /**< visibility function of idm_idr */ + int index_th_dmu_idm_g; /**< idm_g scattering rate \f$ d \mu / d \tau\f$ (analogous to Thomson scattering) (see 1802.06589 for details) */ + int index_th_ddmu_idm_g; /**< derivative of idm_g scattering, \f$ d^2 \mu / d \tau^2 \f$ */ + int index_th_dddmu_idm_g; /**< second derivative of idm_g scattering rate, \f$ d^3 \mu / d \tau^3 \f$ */ + int index_th_exp_mu_idm_g; /**< \f$ exp^{-\mu} \f$ */ + int index_th_R_idm_b; /**< idm_b interaction coefficient */ + int index_th_dR_idm_b; /**< derivative of idm_b interaction coefficient wrt conformal time */ + int index_th_ddR_idm_b; /**< second derivative of ibm_b interaction coefficient wrt conformal time */ int index_th_Tb; /**< baryon temperature \f$ T_b \f$ */ - int index_th_cb2; /**< squared baryon sound speed \f$ c_b^2 \f$ */ + int index_th_dTb; /**< derivative of baryon temperature */ + int index_th_wb; /**< baryon equation of state parameter \f$ w_b = k_B T_b / \mu \f$ */ + int index_th_cb2; /**< squared baryon adiabatic sound speed \f$ c_b^2 \f$ */ int index_th_dcb2; /**< derivative wrt conformal time of squared baryon sound speed \f$ d [c_b^2] / d \tau \f$ (only computed if some non-minimal tight-coupling schemes is requested) */ int index_th_ddcb2; /**< second derivative wrt conformal time of squared baryon sound speed \f$ d^2 [c_b^2] / d \tau^2 \f$ (only computed if some non0-minimal tight-coupling schemes is requested) */ int index_th_rate; /**< maximum variation rate of \f$ exp^{-\kappa}\f$, g and \f$ (d g / d \tau) \f$, used for computing integration step in perturbation module */ int index_th_r_d; /**< simple analytic approximation to the photon comoving damping scale */ + int th_size; /**< size of thermodynamics vector */ //@} @@ -180,8 +224,9 @@ struct thermo //@{ - int tt_size; /**< number of lines (redshift steps) in the tables */ - double * z_table; /**< vector z_table[index_z] with values of redshift (vector of size tt_size) */ + int tt_size; /**< number of lines (redshift steps) in the tables */ + double * z_table; /**< vector z_table[index_z] with values of redshift (vector of size tt_size) */ + double * tau_table; /**< vector tau_table[index_tau] with values of conformal time (vector of size tt_size) */ double * thermodynamics_table; /**< table thermodynamics_table[index_z*pth->tt_size+pba->index_th] with all other quantities (array of size th_size*tt_size) */ //@} @@ -194,7 +239,6 @@ struct thermo //@} - /** @name - characteristic quantities like redshift, conformal time and sound horizon at recombination */ //@{ @@ -206,13 +250,27 @@ struct thermo double ra_rec; /**< conformal angular diameter distance to recombination */ double da_rec; /**< physical angular diameter distance to recombination */ double rd_rec; /**< comoving photon damping scale at recombination */ + + double z_star; /**< redshift at which photon optical depth crosses one */ + double tau_star;/**< confirmal time at which photon optical depth crosses one */ + double rs_star; /**< comoving sound horizon at z_star */ + double ds_star; /**< physical sound horizon at z_star */ + double ra_star; /**< conformal angular diameter distance to z_star */ + double da_star; /**< physical angular diameter distance to z_star */ + double rd_star; /**< comoving photon damping scale at z_star */ + double z_d; /**< baryon drag redshift */ double tau_d; /**< baryon drag time */ double ds_d; /**< physical sound horizon at baryon drag */ double rs_d; /**< comoving sound horizon at baryon drag */ + double tau_cut; /**< at at which the visibility goes below a fixed fraction of the maximum visibility, used for an approximation in perturbation module */ - double angular_rescaling; /**< [ratio ra_rec / (tau0-tau_rec)]: gives CMB rescaling in angular space relative to flat model (=1 for curvature K=0) */ - double tau_free_streaming; /**< minimum value of tau at which sfree-streaming approximation can be switched on */ + + double angular_rescaling; /**< [ratio ra_rec / (tau0-tau_rec)]: gives CMB rescaling in angular space relative to flat model (=1 for curvature K=0) */ + double tau_free_streaming; /**< minimum value of tau at which free-streaming approximation can be switched on */ + double tau_idr_free_streaming; /**< trigger for dark radiation free streaming approximation (idm-idr) */ + double tau_idr; /**< decoupling time for idr */ + double tau_idm_dr; /**< decoupling time for idm from idr*/ //@} @@ -224,11 +282,29 @@ struct thermo //@} -/** @name - total number density of electrons today (free or not) */ + /** @name - other thermodynamical quantities */ + + //@{ + + double fHe; /**< \f$ f_{He} \f$: primordial helium-to-hydrogen nucleon ratio 4*n_He/n_H */ + double n_e; /**< total number density of electrons today (free or not) */ + + //@} + + /** @name - parameters needed for idm */ //@{ - double n_e; /**< total number density of electrons today (free or not) */ + double m_idm; /**< dark matter mass for idm */ + double a_idm_dr; /**< strength of the coupling between interacting dark matter and interacting dark radiation (idm-idr) */ + double b_idr; /**< strength of the self coupling for interacting dark radiation (idr-idr) */ + double n_index_idm_dr; /**< temperature dependence of the interactions between dark matter and dark radiation */ + double cross_idm_b; /**< cross section between interacting dark matter and baryons */ + int n_index_idm_b; /**< temperature dependence of the interactions between dark matter and baryons */ + double n_coeff_idm_b; /**< numerical n-dependent coefficient for idm_b */ + double cross_idm_g; /**< cross section between interacting dark matter and photons */ + double u_idm_g; /**< ratio between idm_g cross section and idm mass */ + int n_index_idm_g; /**< temperature dependence of the interactions between dark matter and photons */ //@} @@ -248,6 +324,7 @@ struct thermo //@{ short thermodynamics_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ + short hyrec_verbose; /**< flag regulating the amount of information sent to standard output from hyrec (none if set to zero) */ ErrorMsg error_message; /**< zone for writing error messages */ @@ -256,187 +333,153 @@ struct thermo }; /** - * Temporary structure where all the recombination history is defined and stored. - * - * This structure is used internally by the thermodynamics module, - * but never passed to other modules. + * Other structures that are used during the thermodynamics module + * execution (i.e. during thermodynamics_init()) but get erased later + * on: thus they cannot be accessed by other modules. */ -struct recombination { - - /** @name - indices of vector of thermodynamics variables related to recombination */ - - //@{ - - int index_re_z; /**< redshift \f$ z \f$ */ - int index_re_xe; /**< ionization fraction \f$ x_e \f$ */ - int index_re_Tb; /**< baryon temperature \f$ T_b \f$ */ - int index_re_cb2; /**< squared baryon sound speed \f$ c_b^2 \f$ */ - int index_re_dkappadtau; /**< Thomson scattering rate \f$ d \kappa / d \tau \f$ (units 1/Mpc) */ - int re_size; /**< size of this vector */ - - //@} - - /** @name - table of the above variables at each redshift, and number of redshifts */ - - //@{ - - int rt_size; /**< number of lines (redshift steps) in the table */ - double * recombination_table; /**< table recombination_table[index_z*preco->re_size+index_re] with all other quantities (array of size preco->rt_size*preco->re_size) */ - - //@} - - /** @name - recfast parameters needing to be passed to - thermodynamics_derivs_with_recfast() routine */ - - //@{ - - double CDB; /**< defined as in RECFAST */ - double CR; /**< defined as in RECFAST */ - double CK; /**< defined as in RECFAST */ - double CL; /**< defined as in RECFAST */ - double CT; /**< defined as in RECFAST */ - double fHe; /**< defined as in RECFAST */ - double CDB_He; /**< defined as in RECFAST */ - double CK_He; /**< defined as in RECFAST */ - double CL_He; /**< defined as in RECFAST */ - double fu; /**< defined as in RECFAST */ - double H_frac; /**< defined as in RECFAST */ - double Tnow; /**< defined as in RECFAST */ - double Nnow; /**< defined as in RECFAST */ - double Bfact; /**< defined as in RECFAST */ - double CB1; /**< defined as in RECFAST */ - double CB1_He1; /**< defined as in RECFAST */ - double CB1_He2; /**< defined as in RECFAST */ - double H0; /**< defined as in RECFAST */ - double YHe; /**< defined as in RECFAST */ - - /* parameters for energy injection */ - - double annihilation; /**< parameter describing CDM annihilation (f / m_cdm, see e.g. 0905.0003) */ - - short has_on_the_spot; /**< flag to specify if we want to use the on-the-spot approximation **/ - - double decay; /**< parameter describing CDM decay (f/tau, see e.g. 1109.6322)*/ - - double annihilation_variation; /**< if this parameter is non-zero, - the function F(z)=(f / - m_cdm)(z) will be a parabola in - log-log scale between zmin and - zmax, with a curvature given by - annihlation_variation (must be - negative), and with a maximum in - zmax; it will be constant outside - this range */ +/** + * Vector of thermodynamical quantities to integrate over, and indices of this vector + */ - double annihilation_z; /**< if annihilation_variation is non-zero, - this is the value of z at which the - parameter annihilation is defined, i.e. - F(annihilation_z)=annihilation */ +struct thermo_vector { - double annihilation_zmax; /**< if annihilation_variation is non-zero, - redshift above which annihilation rate - is maximal */ + int ti_size; /**< size of thermo vector (ti stands for thermodynamical, integrated) */ - double annihilation_zmin; /**< if annihilation_variation is non-zero, - redshift below which annihilation rate - is constant */ + int index_ti_x_H; /**< index for hydrogen fraction in y */ + int index_ti_x_He; /**< index for helium fraction in y */ + int index_ti_D_Tmat; /**< index for temperature difference between baryons and photons */ + int index_ti_T_idm; /**< index for idm temperature fraction in y */ - double annihilation_f_halo; /**< takes the contribution of DM annihilation in halos into account*/ - double annihilation_z_halo; /**< characteristic redshift for DM annihilation in halos*/ + double * y; /**< vector of quantities to be integrated */ + double * dy; /**< time-derivative of the same vector */ - //@} + int * used_in_output; /**< boolean array specifying which quantities enter in the calculation of output functions */ }; /** - * Temporary structure where all the reionization history is defined and stored. - * - * This structure is used internally by the thermodynamics module, - * but never passed to other modules. + * Workspace for differential equation of thermodynamics */ -struct reionization { - - /** @name - indices of vector of thermodynamics variables related to reionization */ - - //@{ +struct thermo_diffeq_workspace { - int index_re_z; /**< redshift \f$ z \f$ */ - int index_re_xe; /**< ionization fraction \f$ x_e \f$ */ - int index_re_Tb; /**< baryon temperature \f$ T_b \f$ */ - int index_re_cb2; /**< squared baryon sound speed \f$ c_b^2 \f$ */ - int index_re_dkappadtau; /**< Thomson scattering rate \f$ d \kappa / d \tau\f$ (units 1/Mpc) */ - int index_re_dkappadz; /**< Thomson scattering rate with respect to redshift \f$ d \kappa / d z\f$ (units 1/Mpc) */ - int index_re_d3kappadz3; /**< second derivative of previous quantity with respect to redshift */ - int re_size; /**< size of this vector */ + double x_H; /**< Hydrogen ionization fraction */ + double x_He; /**< Helium ionization fraction */ + double x_noreio; /**< Electron ionization fraction, not taking into account reionization */ + double x_reio; /**< Electron ionization fraction, taking into account reionization */ - //@} + double x; /**< total ionization fraction following usual CMB convention, n_free/n_H = x_H + fHe * x_He; */ - /** @name - table of the above variables at each redshift, and number of redshifts */ + double Tmat; /**< matter temperature */ - //@{ + double R_idm_b; /**< idm_b interaction coefficient */ + double T_idm; /**< idm_g temperature \f$ T_{idm-g} \f$ */ + double T_idm_prime; /**< derivative of idm_g temperature */ + double dmu_idm_g; /**< scattering rate for idm_g \f& d \mu / d \tau \f$ */ + double c2_idm; /**< sound speed for idm_g \f$ c_{idm-g}^2 \f$*/ + double dmu_idm_dr; /**< scattering rate of idr with idm_g_dr (i.e. idr opacity to idm_g_dr scattering) (units 1/Mpc) */ + double dmu_idr; /**< idr self-interaction rate */ + double Sinv_idm_dr; /**< ratio of idm and idr densities */ - int rt_size; /**< number of lines (redshift steps) in the table */ - double * reionization_table; /**< table reionization_table[index_z*preio->re_size+index_re] with all other quantities (array of size preio->rt_size*preio->re_size) */ + /* index of approximation schemes for the thermal history */ + int index_ap_idmtca;/**< index for approximation during idm-g, idm-b or idm-dr tca*/ + int index_ap_brec; /**< before H- and He-recombination */ + int index_ap_He1; /**< during 1st He-recombination (HeIII) */ + int index_ap_He1f; /**< in between 1st and 2nd He recombination */ + int index_ap_He2; /**< beginning of 2nd He-recombination (HeII) */ + int index_ap_H; /**< beginning of H-recombination (HI) */ + int index_ap_frec; /**< during and after full H- and HeII-recombination */ + int index_ap_reio; /**< during reionization */ - //@} + int ap_current; /** current approximation scheme index */ + int ap_size; /**< number of approximation intervals used during evolver loop */ + int ap_size_loaded; /**< number of all approximations */ - /** @name - reionization optical depth inferred from reionization history */ + double * ap_z_limits; /**< vector storing ending limits of each approximation */ + double * ap_z_limits_delta; /**< vector storing smoothing deltas of each approximation */ - //@{ + int require_H; /** in given approximation scheme, do we need to integrate hydrogen ionization fraction? */ + int require_He; /** in given approximation scheme, do we need to integrate helium ionization fraction? */ - double reionization_optical_depth; /**< reionization optical depth inferred from reionization history */ + struct thermo_vector * ptv; /**< pointer to vector of integrated quantities and their time-derivatives */ + struct thermohyrec * phyrec; /**< pointer to wrapper of HyRec structure */ + struct thermorecfast * precfast; /**< pointer to wrapper of RecFast structure */ - //@} +}; - /** @name - indices describing input parameters used in the definition of the various possible functions x_e(z) */ +/** + * Workspace for reionization + */ - //@{ +struct thermo_reionization_parameters{ /* parameters used by reio_camb */ - int index_reio_redshift; /**< hydrogen reionization redshift */ - int index_reio_exponent; /**< an exponent used in the function x_e(z) in the reio_camb scheme */ - int index_reio_width; /**< a width defining the duration of hydrogen reionization in the reio_camb scheme */ - int index_reio_xe_before; /**< ionization fraction at redshift 'reio_start' */ - int index_reio_xe_after; /**< ionization fraction after full reionization */ - int index_helium_fullreio_fraction; /**< helium full reionization fraction inferred from primordial helium fraction */ - int index_helium_fullreio_redshift; /**< helium full reionization redshift */ - int index_helium_fullreio_width; /**< a width defining the duration of helium full reionization in the reio_camb scheme */ + int index_re_reio_redshift; /**< hydrogen reionization redshift */ + int index_re_reio_exponent; /**< an exponent used in the function x_e(z) in the reio_camb scheme */ + int index_re_reio_width; /**< a width defining the duration of hydrogen reionization in the reio_camb scheme */ + int index_re_xe_before; /**< ionization fraction at redshift 'reio_start' */ + int index_re_xe_after; /**< ionization fraction after full reionization */ + int index_re_helium_fullreio_fraction; /**< helium full reionization fraction inferred from primordial helium fraction */ + int index_re_helium_fullreio_redshift; /**< helium full reionization redshift */ + int index_re_helium_fullreio_width; /**< a width defining the duration of helium full reionization in the reio_camb scheme */ /* parameters used by reio_bins_tanh, reio_many_tanh, reio_inter */ - int reio_num_z; /**< number of reionization jumps */ - int index_reio_first_z; /**< redshift at which we start to impose reionization function */ - int index_reio_first_xe; /**< ionization fraction at redshift first_z (inferred from recombination code) */ - int index_reio_step_sharpness; /**< sharpness of tanh jump */ + int re_z_size; /**< number of reionization jumps */ + int index_re_first_z; /**< redshift at which we start to impose reionization function */ + int index_re_first_xe; /**< ionization fraction at redshift first_z (inferred from recombination code) */ + int index_re_step_sharpness; /**< sharpness of tanh jump */ /* parameters used by all schemes */ - int index_reio_start; /**< redshift above which hydrogen reionization neglected */ + int index_re_reio_start; /**< redshift above which hydrogen reionization neglected */ - //@} + double * reionization_parameters; /**< vector containing all reionization parameters necessary to compute xe(z) */ + int re_size; /**< length of vector reionization_parameters */ +}; - /** @name - vector of such parameters, and its size */ +/** + * General parameters relevant to thermal history and pointers to few other more specialised worspaces + */ - double * reionization_parameters; /**< vector containing all reionization parameters necessary to compute xe(z) */ - int reio_num_params; /**< length of vector reionization_parameters */ +struct thermo_workspace { - //@} + /* Number of z values */ + int Nz_reco_lin; /**< number of redshifts linearly sampled for recombination during the evolver loop */ + int Nz_reco_log; /**< number of redshifts logarithmically sampled for recombination during the evolver loop */ + int Nz_reco; /**< number of redshifts for recombination during the evolver loop */ + int Nz_reio; /**< number of redshift points of reionization during evolver loop*/ + int Nz_tot; /**< total number of sampled redshifts */ - /** @name - index of line in recombination table corresponding to first line of reionization table */ + /* Most important and useful parameters of evolution */ + double YHe; /**< defined as in RECFAST : primordial helium mass fraction */ + double fHe; /**< defined as in RECFAST : primordial helium-to-hydrogen nucleon ratio */ + double SIunit_H0; /**< defined as in RECFAST : Hubble parameter today in SI units */ + double SIunit_nH0; /**< defined as in RECFAST : Hydrogen number density today in SI units*/ + double Tcmb; /**< CMB temperature today in Kelvin */ - //@{ + /* Most important and useful constants */ + double const_NR_numberdens; /**< prefactor in number density of nonrelativistic species */ + double const_Tion_H; /**< ionization energy for HI as temperature */ + double const_Tion_HeI; /**< ionization energy for HeI as temperature */ + double const_Tion_HeII; /**< ionization energy for HeII as temperature */ - int index_reco_when_reio_start; /**< index of line in recombination table corresponding to first line of reionization table*/ + short has_ap_idmtca; /**< flag to determine if we have idm tight-coupling approximation */ + double z_ap_idmtca; /**< redshift at which we start idm tight-coupling approximation */ - //@} + double reionization_optical_depth; /**< reionization optical depth inferred from reionization history */ + + int last_index_back; /**< nearest location in background table */ + + struct thermo_diffeq_workspace * ptdw; /**< pointer to workspace for differential equations */ + struct thermo_reionization_parameters * ptrp; /**< pointer to workspace for reionization */ }; /** - * temporary parameters and workspace passed to the thermodynamics_derivs function + * temporary parameters and workspace passed to the thermodynamics_derivs function */ struct thermodynamics_parameters_and_workspace { @@ -444,11 +487,11 @@ struct thermodynamics_parameters_and_workspace { /* structures containing fixed input parameters (indices, ...) */ struct background * pba; struct precision * ppr; - struct recombination * preco; + struct thermodynamics * pth; /* workspace */ + struct thermo_workspace * ptw; double * pvecback; - }; /**************************************************************/ @@ -460,144 +503,177 @@ struct thermodynamics_parameters_and_workspace { extern "C" { #endif - int thermodynamics_at_z( - struct background * pba, - struct thermo * pth, - double z, - short inter_mode, - int * last_index, - double * pvecback, - double * pvecthermo - ); - - int thermodynamics_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth - ); - - int thermodynamics_free( - struct thermo * pthermo - ); - - int thermodynamics_indices( - struct thermo * pthermo, - struct recombination * preco, - struct reionization * preio - ); - - int thermodynamics_helium_from_bbn( - struct precision * ppr, - struct background * pba, - struct thermo * pth - ); - - int thermodynamics_onthespot_energy_injection( - struct precision * ppr, - struct background * pba, - struct recombination * preco, - double z, - double * energy_rate, - ErrorMsg error_message - ); - - int thermodynamics_energy_injection( - struct precision * ppr, - struct background * pba, - struct recombination * preco, - double z, - double * energy_rate, - ErrorMsg error_message - ); - - int thermodynamics_reionization_function( - double z, - struct thermo * pth, - struct reionization * preio, - double * xe - ); - - int thermodynamics_reionization( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio, - double * pvecback - ); - - int thermodynamics_reionization_sample( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio, - double * pvecback - ); - - int thermodynamics_get_xe_before_reionization( - struct precision * ppr, - struct thermo * pth, - struct recombination * preco, - double z, - double * xe); - - int thermodynamics_recombination( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * prec, - double * pvecback - ); - - int thermodynamics_recombination_with_hyrec( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * prec, - double * pvecback - ); - - int thermodynamics_recombination_with_recfast( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * prec, - double * pvecback - ); - - int thermodynamics_derivs_with_recfast( - double z, - double * y, - double * dy, - void * fixed_parameters, - ErrorMsg error_message - ); - - int thermodynamics_merge_reco_and_reio( - struct precision * ppr, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio - ); + /* external functions of the module*/ + + int thermodynamics_at_z(struct background * pba, + struct thermodynamics * pth, + double z, + enum interpolation_method inter_mode, + int * last_index, + double * pvecback, + double * pvecthermo); + + int thermodynamics_init(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth); + + int thermodynamics_free(struct thermodynamics * pth); + + int thermodynamics_free_input(struct thermodynamics * pth); + + /* internal functions of the module */ + + int thermodynamics_helium_from_bbn(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth); + + int thermodynamics_checks(struct precision * ppr, + struct background* pba, + struct thermodynamics * pth); + + int thermodynamics_workspace_init(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw); + + int thermodynamics_indices(struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace* ptw); + + int thermodynamics_lists(struct precision * ppr, + struct background* pba, + struct thermodynamics* pth, + struct thermo_workspace* ptw); + + int thermodynamics_set_parameters_reionization(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_reionization_parameters * preio); + + int thermodynamics_solve(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace* ptw, + double * pvecback); + + int thermodynamics_calculate_remaining_quantities(struct precision * ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback); + + int thermodynamics_output_summary(struct background* pba, + struct thermodynamics* pth); + + int thermodynamics_workspace_free(struct thermodynamics* pth, struct thermo_workspace * ptw); + + int thermodynamics_vector_init(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + double z, + struct thermo_workspace * ptw); + + int thermodynamics_reionization_evolve_with_tau(struct thermodynamics_parameters_and_workspace * tpaw, + double mz_ini, + double mz_end, + double * mz_output, + int Nz); + + int thermodynamics_derivs( + double mz, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ); + + int thermodynamics_timescale(double z, + void * thermo_parameters_and_workspace, + double * timescale, + ErrorMsg error_message); + + int thermodynamics_sources(double mz, + double * y, + double * dy, + int index_z, + void * thermo_parameters_and_workspace, + ErrorMsg error_message); + + int thermodynamics_reionization_get_tau(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw); + + int thermodynamics_vector_free(struct thermo_vector * tv); + + + int thermodynamics_calculate_conformal_drag_time(struct background* pba, + struct thermodynamics* pth, + double* pvecback); + + int thermodynamics_calculate_damping_scale(struct background* pba, + struct thermodynamics* pth, + double* pvecback); + + int thermodynamics_calculate_opticals(struct precision* ppr, + struct thermodynamics* pth); + + int thermodynamics_calculate_recombination_quantities(struct precision* ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback); + + int thermodynamics_calculate_drag_quantities(struct precision* ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback); + + int thermodynamics_ionization_fractions( + double z, + double * y, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw, + int current_ap + ); + + int thermodynamics_reionization_function(double z, + struct thermodynamics * pth, + struct thermo_reionization_parameters * preio, + double * x); + + int thermodynamics_obtain_z_ini( + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct thermo_workspace * ptw + ); int thermodynamics_output_titles(struct background * pba, - struct thermo *pth, - char titles[_MAXTITLESTRINGLENGTH_] - ); + struct thermodynamics *pth, + char titles[_MAXTITLESTRINGLENGTH_]); int thermodynamics_output_data(struct background * pba, - struct thermo *pth, + struct thermodynamics *pth, int number_of_titles, - double *data - ); - - int thermodynamics_tanh(double x, - double center, - double before, - double after, - double width, - double * result); + double *data); + + int thermodynamics_calculate_idm_and_idr_quantities(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + double* pvecback); + + int thermodynamics_idm_quantities(struct background * pba, + double z, + double * y, + double * dy, + struct thermodynamics * pth, + struct thermo_workspace * ptw, + double * pvecback); + + int thermodynamics_idm_initial_temperature(struct background* pba, + struct thermodynamics* pth, + double z_ini, + struct thermo_diffeq_workspace * ptdw); #ifdef __cplusplus } @@ -611,7 +687,7 @@ extern "C" { //@{ -#define _BBN_ -1 +#define _YHE_BBN_ -1 /**< value assigned to the parameter pth->YHe by the input module when this parameter must be computed using BBN tables */ //@} @@ -627,57 +703,34 @@ extern "C" { #define _not4_ 3.9715 /**< Helium to Hydrogen mass ratio */ #define _sigma_ 6.6524616e-29 /**< Thomson cross-section in m^2 */ -//@} - -/** - * @name Some specific constants needed by RECFAST: - */ - -//@{ - #define _RECFAST_INTEG_SIZE_ 3 -#define _Lambda_ 8.2245809 -#define _Lambda_He_ 51.3 -#define _L_H_ion_ 1.096787737e7 -#define _L_H_alpha_ 8.225916453e6 -#define _L_He1_ion_ 1.98310772e7 -#define _L_He2_ion_ 4.389088863e7 -#define _L_He_2s_ 1.66277434e7 -#define _L_He_2p_ 1.71134891e7 -#define _A2P_s_ 1.798287e9 /*updated like in recfast 1.4*/ -#define _A2P_t_ 177.58e0 /*updated like in recfast 1.4*/ -#define _L_He_2Pt_ 1.690871466e7 /*updated like in recfast 1.4*/ -#define _L_He_2St_ 1.5985597526e7 /*updated like in recfast 1.4*/ -#define _L_He2St_ion_ 3.8454693845e6 /*updated like in recfast 1.4*/ -#define _sigma_He_2Ps_ 1.436289e-22 /*updated like in recfast 1.4*/ -#define _sigma_He_2Pt_ 1.484872e-22 /*updated like in recfast 1.4*/ - //@} /** - * @name Some specific constants needed by recfast_derivs: + * @name Some other physical constants */ //@{ -#define _a_PPB_ 4.309 -#define _b_PPB_ -0.6166 -#define _c_PPB_ 0.6703 -#define _d_PPB_ 0.5300 -#define _T_0_ pow(10.,0.477121) /* from recfast 1.4 */ -#define _a_VF_ pow(10.,-16.744) -#define _b_VF_ 0.711 -#define _T_1_ pow(10.,5.114) -#define _a_trip_ pow(10.,-16.306) /* from recfast 1.4 */ -#define _b_trip_ 0.761 /* from recfast 1.4 */ +#define _s_over_Mpc_ 9.71561189e-15 /**< conversion factor from s to megaparsecs (1 s= const*Mpc) */ +#define _Mpc_over_GeV_ 1.56373832e38 /**< conversion factor from GeV to megaparsecs (1 GeV= const/Mpc) */ +#define _GeV_over_kg_ 1.78266191e-27 /**< conversion factor from GeV to kg (1 GeV= const*kg) */ +#define _GeVcm3_over_Mpc2_ 94.7024726 /**< conversion factor from CLASS_rho 1/Mpc^2 to rho in GeV/cm^3 (rho in GeV/cm^3=const*CLASS_rho) */ +#define _Jm3_over_Mpc2_ 0.0151730087 /**< conversion factor from CLASS_rho 1/Mpc^2 to rho in Joule/m^3 (rho in Joule/m^3=const*CLASS_rho) */ +#define _Sun_mass_ 1.98855e30 /**< sun mass in kg */ +#define _eV_over_Kelvin_ 8.61733034e-5 /**< kB in eV/K */ +#define _eV_over_joules_ 6.24150647996e+18 /**< eV/J */ + //@} +/* @endcond */ + /** * @name Some limits imposed on cosmological parameter values: */ -/* @endcond */ + //@{ #define _YHE_BIG_ 0.5 /**< maximal \f$ Y_{He} \f$ */ diff --git a/include/transfer.h b/include/transfer.h old mode 100755 new mode 100644 index cccb4b81..b92f6a89 --- a/include/transfer.h +++ b/include/transfer.h @@ -3,7 +3,7 @@ #ifndef __TRANSFER__ #define __TRANSFER__ -#include "nonlinear.h" +#include "fourier.h" #include "hyperspherical.h" #include #include @@ -11,7 +11,45 @@ /* macro: test if index_tt is in the range between index and index+num, while the flag is true */ #define _index_tt_in_range_(index,num,flag) (flag == _TRUE_) && (index_tt >= index) && (index_tt < index+num) - +/* macro: test if index_tt corresponds to an integrated nCl/sCl contribution */ +#define _integrated_ncl_ (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) +/* macro: test if index_tt corresponds to an non-integrated nCl/sCl contribution */ +#define _nonintegrated_ncl_ (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) || \ + (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) || \ + (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || \ + (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) || \ + (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) +/* macro: bin number associated to particular redshift bin and selection function for non-integrated contributions*/ +#define _get_bin_nonintegrated_ncl_(index_tt) \ + if (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) \ + bin = index_tt - ptr->index_tt_density; \ + if (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) \ + bin = index_tt - ptr->index_tt_rsd; \ + if (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) \ + bin = index_tt - ptr->index_tt_d0; \ + if (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) \ + bin = index_tt - ptr->index_tt_d1; \ + if (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) \ + bin = index_tt - ptr->index_tt_nc_g1; \ + if (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) \ + bin = index_tt - ptr->index_tt_nc_g2; \ + if (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) \ + bin = index_tt - ptr->index_tt_nc_g3; +/* macro: bin number associated to particular redshift bin and selection function for integrated contributions*/ +#define _get_bin_integrated_ncl_(index_tt) \ + if (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) \ + bin = index_tt - ptr->index_tt_lensing; \ + if (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) \ + bin = index_tt - ptr->index_tt_nc_lens; \ + if (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) \ + bin = index_tt - ptr->index_tt_nc_g4; \ + if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) \ + bin = index_tt - ptr->index_tt_nc_g5; /** * Structure containing everything about transfer functions in * harmonic space \f$ \Delta_l^{X} (q) \f$ that other modules need to @@ -35,7 +73,7 @@ * 'thermodynamics' and 'perturbation' structures. */ -struct transfers { +struct transfer { /** @name - input parameters initialized by user in input module * (all other quantities are computed in this module, given these @@ -133,7 +171,7 @@ struct transfers { //@{ - size_t q_size; /**< number of wavenumber values */ + size_t q_size; /**< number of wavenumber values corresponding to k up to k_max_cl */ double * q; /**< list of wavenumber values, q[index_q] */ @@ -141,6 +179,14 @@ struct transfers { int index_q_flat_approximation; /**< index of the first q value using the flat rescaling approximation */ + short do_lcmb_full_limber; /**< in this particular run, will we use the full Limber scheme? */ + + size_t q_size_limber; /**< number of wavenumber values corresponding to k up to k_max */ + + double * q_limber; /**< list of wavenumber values used in full limber scheme, q_limber[index_q] */ + + double ** k_limber; /**< list of wavenumber values used in full limber scheme */ + //@} /** @name - transfer functions */ @@ -149,14 +195,14 @@ struct transfers { double ** transfer; /**< table of transfer functions for each mode, initial condition, type, multipole and wavenumber, with argument transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) * ptr->l_size[index_md] + index_l) * ptr->q_size + index_q] */ + double ** transfer_limber; /**< table of transfer functions used in full limber scheme */ + //@} /** @name - technical parameters */ //@{ - short initialise_HIS_cache; /**< only true if we are using CLASS for setting up a cache of HIS structures */ - short transfer_verbose; /**< flag regulating the amount of information sent to standard output (none if set to zero) */ ErrorMsg error_message; /**< zone for writing error messages */ @@ -169,7 +215,7 @@ struct transfers { * know for computing transfer functions (but that can be forgotten * once the transfer functions are known, otherwise they would be * stored in the transfer module) -*/ + */ struct transfer_workspace { @@ -193,7 +239,7 @@ struct transfer_workspace { int tau_size; /**< number of discrete time values for a given type */ int tau_size_max; /**< maximum number of discrete time values for all types */ - double * interpolated_sources; /**< interpolated_sources[index_tau]: + double * interpolated_sources; /**< interpolated_sources[index_tau]: sources interpolated from the perturbation module at the right value of k */ @@ -258,7 +304,7 @@ extern "C" { #endif int transfer_functions_at_q( - struct transfers * ptr, + struct transfer * ptr, int index_md, int index_ic, int index_type, @@ -270,98 +316,97 @@ extern "C" { int transfer_init( struct precision * ppr, struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr + struct thermodynamics * pth, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr ); int transfer_free( - struct transfers * ptr + struct transfer * ptr ); - int transfer_indices_of_transfers( - struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, - double q_period, - double K, - int sgnK - ); + int transfer_indices( + struct precision * ppr, + struct perturbations * ppt, + struct transfer * ptr, + double q_period, + double K, + int sgnK + ); int transfer_perturbation_copy_sources_and_nl_corrections( - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr, double *** sources ); int transfer_perturbation_source_spline( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double *** sources, double *** sources_spline ); int transfer_perturbation_sources_free( - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr, double *** sources ); int transfer_perturbation_sources_spline_free( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double *** sources_spline ); int transfer_get_l_list( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr + struct perturbations * ppt, + struct transfer * ptr ); int transfer_get_q_list( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double q_period, double K, int sgnK ); - int transfer_get_q_list_v1( - struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, - double q_period, - double K, - int sgnK - ); + int transfer_get_q_limber_list( + struct precision * ppr, + struct perturbations * ppt, + struct transfer * ptr, + double K, + int sgnK + ); int transfer_get_k_list( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double K ); int transfer_get_source_correspondence( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int ** tp_of_tt ); int transfer_free_source_correspondence( - struct transfers * ptr, + struct transfer * ptr, int ** tp_of_tt ); int transfer_source_tau_size_max( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double tau_rec, double tau0, int * tau_size_max @@ -370,8 +415,8 @@ extern "C" { int transfer_source_tau_size( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double tau_rec, double tau0, int index_md, @@ -382,28 +427,30 @@ extern "C" { int transfer_compute_for_each_q( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int ** tp_of_tt, int index_q, int tau_size_max, double tau_rec, double *** sources, double *** sources_spline, - struct transfer_workspace * ptw + double * window, + struct transfer_workspace * ptw, + short use_full_limber ); int transfer_radial_coordinates( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_md, int index_q ); int transfer_interpolate_sources( - struct perturbs * ppt, - struct transfers * ptr, - int index_q, + struct perturbations * ppt, + struct transfer * ptr, + double k, int index_md, int index_ic, int index_type, @@ -415,14 +462,16 @@ extern "C" { int transfer_sources( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double * interpolated_sources, double tau_rec, - int index_q, + double k, int index_md, int index_tt, double * sources, + double * window, + int tau_size_max, double * tau0_minus_tau, double * delta_tau, int * tau_size_out @@ -430,14 +479,14 @@ extern "C" { int transfer_selection_function( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double z, double * selection); int transfer_dNdz_analytic( - struct transfers * ptr, + struct transfer * ptr, double z, double * dNdz, double * dln_dNdz_dz); @@ -445,8 +494,8 @@ extern "C" { int transfer_selection_sampling( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau0_minus_tau, int tau_size); @@ -454,8 +503,8 @@ extern "C" { int transfer_lensing_sampling( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double tau0, double * tau0_minus_tau, @@ -464,8 +513,8 @@ extern "C" { int transfer_source_resample( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau0_minus_tau, int tau_size, @@ -477,8 +526,8 @@ extern "C" { int transfer_selection_times( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau_min, double * tau_mean, @@ -487,8 +536,8 @@ extern "C" { int transfer_selection_compute( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double * selection, double * tau0_minus_tau, double * delta_tau, @@ -500,8 +549,8 @@ extern "C" { int transfer_compute_for_each_l( struct transfer_workspace * ptw, struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_q, int index_md, int index_ic, @@ -509,13 +558,14 @@ extern "C" { int index_l, double l, double q_max_bessel, - radial_function_type radial_type + radial_function_type radial_type, + short use_full_limber ); int transfer_use_limber( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double q_max_bessel, int index_md, int index_tt, @@ -525,8 +575,8 @@ extern "C" { ); int transfer_integrate( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, struct transfer_workspace *ptw, int index_q, int index_md, @@ -539,7 +589,7 @@ extern "C" { ); int transfer_limber( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_md, int index_q, @@ -550,7 +600,7 @@ extern "C" { ); int transfer_limber_interpolate( - struct transfers * ptr, + struct transfer * ptr, double * tau0_minus_tau, double * sources, int tau_size, @@ -560,7 +610,7 @@ extern "C" { int transfer_limber2( int tau_size, - struct transfers * ptr, + struct transfer * ptr, int index_md, int index_q, double l, @@ -573,8 +623,8 @@ extern "C" { int transfer_can_be_neglected( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_md, int index_ic, int index_tt, @@ -586,16 +636,16 @@ extern "C" { int transfer_late_source_can_be_neglected( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_md, int index_tt, double l, short * neglect); int transfer_select_radial_function( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_md, int index_tt, radial_function_type *radial_type @@ -603,8 +653,8 @@ extern "C" { int transfer_radial_function( struct transfer_workspace * ptw, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double k, int index_q, int index_l, @@ -614,19 +664,19 @@ extern "C" { ); int transfer_init_HIS_from_bessel( - struct transfers * ptr, + struct transfer * ptr, HyperInterpStruct *pHIS ); int transfer_global_selection_read( - struct transfers * ptr + struct transfer * ptr ); int transfer_workspace_init( - struct transfers * ptr, + struct transfer * ptr, struct precision * ppr, struct transfer_workspace **ptw, - int perturb_tau_size, + int perturbations_tau_size, int tau_size_max, double K, int sgnK, @@ -635,17 +685,17 @@ extern "C" { ); int transfer_workspace_free( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace *ptw ); int transfer_update_HIS( struct precision * ppr, - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_q, double tau0 - ); + ); int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, int l, @@ -665,6 +715,25 @@ extern "C" { int *index_l_right, ErrorMsg error_message); + int transfer_precompute_selection( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + double tau_rec, + int tau_size_max, + double ** window + ); + + int transfer_f_evo( + struct background* pba, + struct transfer * ptr, + double* pvecback, + int last_index, + double cotKgen, + double* f_evo + ); + #ifdef __cplusplus } #endif diff --git a/include/trigonometric_integrals.h b/include/trigonometric_integrals.h new file mode 100644 index 00000000..da82b53a --- /dev/null +++ b/include/trigonometric_integrals.h @@ -0,0 +1,33 @@ +/** + * definitions for module trigonometric_integrals.c + */ + +#ifndef __TRIGONOMETRIC_INTEGRALS__ +#define __TRIGONOMETRIC_INTEGRALS__ + +#include "common.h" + +/** + * Boilerplate for C++ + */ +#ifdef __cplusplus +extern "C" { +#endif + + int cosine_integral( + double x, + double *Ci, + ErrorMsg error_message + ); + + int sine_integral( + double x, + double *Si, + ErrorMsg error_message + ); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/main/class.c b/main/class.c old mode 100755 new mode 100644 index 83565f07..a94ae6ed --- a/main/class.c +++ b/main/class.c @@ -8,18 +8,19 @@ int main(int argc, char **argv) { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct fourier fo; /* for non-linear spectra */ + struct transfer tr; /* for transfer functions */ + struct harmonic hr; /* for output spectra */ struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error messages */ - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { + printf("\n\nError running input_init \n=>%s\n",errmsg); return _FAILURE_; } @@ -33,8 +34,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); + if (perturbations_init(&pr,&ba,&th,&pt) == _FAILURE_) { + printf("\n\nError in perturbations_init \n=>%s\n",pt.error_message); return _FAILURE_; } @@ -43,40 +44,50 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",nl.error_message); + if (fourier_init(&pr,&ba,&th,&pt,&pm,&fo) == _FAILURE_) { + printf("\n\nError in fourier_init \n=>%s\n",fo.error_message); return _FAILURE_; } - if (transfer_init(&pr,&ba,&th,&pt,&nl,&tr) == _FAILURE_) { + if (transfer_init(&pr,&ba,&th,&pt,&fo,&tr) == _FAILURE_) { printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); return _FAILURE_; } - if (spectra_init(&pr,&ba,&pt,&pm,&nl,&tr,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); + if (harmonic_init(&pr,&ba,&pt,&pm,&fo,&tr,&hr) == _FAILURE_) { + printf("\n\nError in harmonic_init \n=>%s\n",hr.error_message); return _FAILURE_; } - if (lensing_init(&pr,&pt,&sp,&nl,&le) == _FAILURE_) { + if (lensing_init(&pr,&pt,&hr,&fo,&le) == _FAILURE_) { printf("\n\nError in lensing_init \n=>%s\n",le.error_message); return _FAILURE_; } - if (output_init(&ba,&th,&pt,&pm,&tr,&sp,&nl,&le,&op) == _FAILURE_) { + if (distortions_init(&pr,&ba,&th,&pt,&pm,&sd) == _FAILURE_) { + printf("\n\nError in distortions_init \n=>%s\n",sd.error_message); + return _FAILURE_; + } + + if (output_init(&ba,&th,&pt,&pm,&tr,&hr,&fo,&le,&sd,&op) == _FAILURE_) { printf("\n\nError in output_init \n=>%s\n",op.error_message); return _FAILURE_; } /****** all calculations done, now free the structures ******/ + if (distortions_free(&sd) == _FAILURE_) { + printf("\n\nError in distortions_free \n=>%s\n",sd.error_message); + return _FAILURE_; + } + if (lensing_free(&le) == _FAILURE_) { printf("\n\nError in lensing_free \n=>%s\n",le.error_message); return _FAILURE_; } - if (spectra_free(&sp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); + if (harmonic_free(&hr) == _FAILURE_) { + printf("\n\nError in harmonic_free \n=>%s\n",hr.error_message); return _FAILURE_; } @@ -85,8 +96,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (nonlinear_free(&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",nl.error_message); + if (fourier_free(&fo) == _FAILURE_) { + printf("\n\nError in fourier_free \n=>%s\n",fo.error_message); return _FAILURE_; } @@ -95,8 +106,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); + if (perturbations_free(&pt) == _FAILURE_) { + printf("\n\nError in perturbations_free \n=>%s\n",pt.error_message); return _FAILURE_; } diff --git a/notebooks/Growth_with_w.ipynb b/notebooks/Growth_with_w.ipynb index 793be030..d85dd6ea 100644 --- a/notebooks/Growth_with_w.ipynb +++ b/notebooks/Growth_with_w.ipynb @@ -2,10 +2,8 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -18,10 +16,8 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "w0vec = [-0.7, -1.0, -1.3]\n", @@ -45,10 +41,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import scipy\n", @@ -58,7 +52,7 @@ "def D_hypergeom(avec,csm):\n", " bg = csm.get_background()\n", " Om = csm.Omega0_m()\n", - " if bg.has_key('(.)rho_lambda'):\n", + " if '(.)rho_lambda' in bg:\n", " Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1]\n", " else:\n", " Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1]\n", @@ -71,7 +65,7 @@ "def f_hypergeom(avec,csm):\n", " bg = csm.get_background()\n", " Om = csm.Omega0_m()\n", - " if bg.has_key('(.)rho_lambda'):\n", + " if '(.)rho_lambda' in bg:\n", " Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1]\n", " else:\n", " Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1]\n", @@ -84,7 +78,7 @@ "def D_integral2(avec,csm):\n", " bg = csm.get_background()\n", " Om = csm.Omega0_m()\n", - " if bg.has_key('(.)rho_lambda'):\n", + " if '(.)rho_lambda' in bg:\n", " Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1]\n", " w0 = -1\n", " wa = 0.0\n", @@ -122,7 +116,7 @@ "\n", "def D_linder(avec,csm):\n", " bg = csm.get_background()\n", - " if bg.has_key('(.)rho_lambda'):\n", + " if '(.)rho_lambda' in bg:\n", " Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1]\n", " w0 = -1\n", " wa = 0.0\n", @@ -152,7 +146,7 @@ "\n", "def D_linder2(avec,csm):\n", " bg = csm.get_background()\n", - " if bg.has_key('(.)rho_lambda'):\n", + " if '(.)rho_lambda' in bg:\n", " Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1]\n", " w0 = -1\n", " wa = 0.0\n", @@ -197,22 +191,9 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFvCAYAAABw7gPhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "figwidth1 = 4.4 #=0.7*6.3\n", "figwidth2 = 6.3\n", @@ -293,28 +274,15 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAI4CAYAAAA/PH0eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "lw=2\n", "fs=14\n", "fig, (ax1, ax2) = plt.subplots(2,1,figsize=(6,8),sharex=True,)\n", "# gridspec_kw = {'height_ratios':[2, 1]})\n", - "for M, csm in cosmo.iteritems():\n", + "for M, csm in iter(cosmo.items()):\n", " if M!='LCDM':\n", " w0, wa = M.strip('()').split(',')\n", " if float(wa)!=0.0:\n", @@ -351,36 +319,27 @@ "fig.subplots_adjust(hspace=0.0)\n", "fig.savefig('Growthrate_w0.pdf')" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/Thomas_PPF.ipynb b/notebooks/Thomas_PPF.ipynb deleted file mode 100644 index 47850661..00000000 --- a/notebooks/Thomas_PPF.ipynb +++ /dev/null @@ -1,432 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import matplotlib\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "from classy import Class" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "k_out = [5e-5, 5e-4, 5e-3]\n", - "models = ['PPF1','PPF2','FLD1','FLD1S']\n", - "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", - "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", - "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", - "omega_b = 0.022\n", - "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", - "##Omega_b = 0.05\n", - "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64,'FLD1S':0.64}\n", - "cosmo = {}\n", - "\n", - "for M in models:\n", - " use_ppf = 'yes'\n", - " gauge = 'Newtonian'\n", - " if 'FLD' in M:\n", - " use_ppf = 'no'\n", - " if 'S' in M:\n", - " gauge = 'Synchronous'\n", - " \n", - " cosmo[M] = Class()\n", - " \n", - " cosmo[M].set({'output':'tCl Mpk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", - " 'h':h[M],\n", - " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],\n", - " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", - " 'cs2_fld':1.,\n", - " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", - " 'use_ppf':use_ppf})\n", - " cosmo[M].compute()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(6e-11, 1e-09)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAECCAYAAAD+VKAWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "colours = ['r','k','g','m']\n", - "for i,M in enumerate(models):\n", - " cl = cosmo[M].raw_cl()\n", - " l = cl['ell']\n", - " \n", - " plt.loglog(l,cl['tt']*l*(l+1)/(2.*np.pi),label=M,color=colours[i])\n", - "plt.legend(loc='upper left')\n", - "\n", - "plt.xlim([2,300])\n", - "#plt.xlim([20,300])\n", - "\n", - "plt.ylim([6e-11,1e-9])" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.3, 0.63)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxUAppRTwf2aQmjpMi6dzAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for M in ['PPF1','FLD1']:\n", - " csm = cosmo[M]\n", - " pt = csm.get_perturbations()\n", - " pts = pt['scalar']\n", - " for i,k in enumerate(k_out):\n", - " ptk = pts[i]\n", - " a = ptk['a']\n", - " phi = ptk['phi']\n", - " psi = ptk['psi']\n", - " if 'FLD' in M:\n", - " ls = ':'\n", - " lw=5\n", - " else:\n", - " ls = '-'\n", - " lw=1\n", - " plt.semilogx(a,0.5*(phi+psi),label=M+' '+'$k='+str(k)+'Mpc^{-1}$',ls=ls,lw=lw)\n", - "plt.legend(loc='lower left')\n", - "plt.xlim([1e-2,1])\n", - "plt.ylim([0.3,0.63])" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "515 514\n", - "512 512\n", - "541 540\n", - "562 569\n", - "537 544\n", - "550 551\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAE2CAYAAABC0smJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XtclVW++PHP2lful81doJAQRFASdRonTUrHxIwsSy3K\njBk9XuaW2elM88vRRg3POHWOWZOWnpwZzTNTzug0SoNFjp1xSjRNBkUdQQUBucNms9m35/cHaCqb\nzcWNoK3368VL9nrWWns9PAv3l/WsZy2hKAqSJEmSJEkDmaq/GyBJkiRJktQVGbBIkiRJkjTgyYBF\nkiRJkqQBTwYskiRJkiQNeDJgkSRJkiRpwJMBiyRJkiRJA16XAYsQYrMQ4qIQoqCT40IIsU4IcVoI\n8ZUQIrU9PVoIkSeEKBRC/FMI8eMryhiEELlCiFPt/wa675QkSZIkSbrVdGeE5V1giovj6cCQ9q/5\nwK/b023Ac4qiDAO+DSwWQgxrP/YfwMeKogwBPm5/LUmSJEmS5FSXAYuiKH8Dal1keQj4jdLmH0CA\nECJCUZRyRVEOt9fRBBwHIq8os6X9+y3A9N6egCRJkiRJtz6NG+qIBM5f8bq0Pa38UoIQIgYYCXze\nnhSmKMql4xVAWGeVCyHm0zZyg7e396ihQ4e6ocmSdGs7dOhQtaIoIf3djs4EBwcrMTEx/d0MSRrw\nBvrv8o3kjoDFJSGED/AB8BNFURqvPa4oiiKE6HR/AEVRNgIbAUaPHq3k5+f3WVsl6VYhhDjb321w\nJSYmBvm7LEldG+i/yzeSO54SKgOir3gd1Z6GEEJLW7CyVVGUHVfkqRRCRLTniQAuuqEdkiRJkiTd\notwRsOwC5rQ/LfRtoEFRlHIhhAA2AccVRXnVSZmn279/GtjphnZIkiRJknSL6vKWkBDiPSANCBZC\nlAI/B7QAiqK8BewGpgKnARPwTHvRu4GngGNCiCPtaS8qirIbyAZ+L4T4HnAWmOmuE5IkSZIk6dbT\nZcCiKMrjXRxXgMVO0j8DRCdlaoCJ3WyjJEnfAFarldLSUsxmc383RZIGjNzc3OFHjx4t6e923AAO\noMBms31/1KhRTqeJ9PmkW0mSpO4oLS3F19eXmJgY2u4oS5Jkt9ttycnJ1f3djr7mcDhEVVXVsIqK\nineADGd55NL8kiQNCGazmaCgIBmsSNI3kEqlUkJCQhqA5E7z3MD2SJIkuSSDFUn65lKpVAou4hIZ\nsEiSJEmSNODJgEWSJEmSpAFPTrqVJOmmoigKZksLllYzCNBotHjqvVCp1P3dNEmS+pAcYZEkacBr\nNjZysaKEpgsncFz4Cs+aIvyNZ/FvOot33WlE+Ve0XiigvvwkFytKMJo67ALSbSUlJUydOpWEhATi\n4+N55ZVX3HgmPZeTk0NCQgJxcXFkZ2d3mi8rK4vQ0FCSkzuds3iVVatWkZSUxIgRI7jzzjv5/PPP\nuy7UA+vWrSMxMZHMzEy31jtQ9HU/uXTd09PTPV988cVwZ3nef/99v5iYmOTbbrstubM81xJCjJo3\nb17UpdfLli0LW7JkySB3tRtg5cqVobGxsUkZGRmD3VmvDFgkSRqwjA31VJUXo28oJtRRhw4bDSpv\nLqoCqFQZqFQZuKgKpEblRytavB1mQh11+NT/C9OFQqoqijG1NHf7/RwOBzNmzGDBggUUFRVx7Ngx\n8vPz2bhxYx+eZefsdjuLFy9mz549FBYW8t5771FYWOg079y5c8nJyelWvQcOHODDDz/k8OHDfPXV\nV+zdu5fo6OiuC/bAm2++SW5uLlu3bnVrvQNBX/eTK6/7zp07Wz744APDoUOHPK7MY7PZePbZZ2/b\nvXv3yZMnT/7TWR5ndDqdsnv37sDy8vI+u8OyadOmkNzc3JO7du0qdme9MmCRJGnAURSFi2XnUTVf\nIESpp0XoqVQFowlLxBARR2j4YMLCbycs/HZCw2MIjrgDn/AhmHRhVBJMlfBHoBDiqMej9hQNF05S\nVXWBtnUuO/fRRx8RExNDRkbbMhB6vZ7169ezdu3aG3HaHXzxxRfExcURGxuLTqdj9uzZ7NzpfCeT\ne+65B4PB0K16y8vLCQ4ORq/XAxAcHMygQZ3/kV1SUsLQoUPJzMwkMTGRRx99FJPJ1Gn6ggULOHPm\nDOnp6bz22ms9P/EBrq/7ybXX/ZFHHql9//33A67M8+mnn3rffvvtrcOGDbN4eHgozvI4o1arlTlz\n5lStXr06rDttKSoq0g0ePDgpIyNjcGxsbNKUKVNim5qaVJ2lP/HEE7eVlpbq09PTh6xYsSK0tz8D\nZ+QcFkmSBpyf/v4gZy42IlCwCg1arRmoA0q7XYfDYcdusyFwoKaKpBAtS++pp1ntQ3BIFCpVx7/X\njh8/TkpKylVpERERNDY2YrFY0Ol0nb7f+PHjaWpq6pC+du1aJk2a1O12X6msrOyqkY+oqCi33LqZ\nPHkyL7/8MvHx8UyaNIlZs2YxYcIEl2WKiorYtGkTd999N1lZWbz55ps8+uijTtPfeustcnJyyMvL\nIzg4+Lrb25n6P/8Ly4Xuj6B1h26QNwEP3uEyT1/3EyfX3fL555/7XJn//PnzusjISIurPJ15/vnn\nLw4fPjxp+fLlFd3JX1JS4rFhw4aSyZMnNz/22GMxv/zlL0MyMzPrnKVv27bt3L59+/z37dt3MiIi\nwtad+rtLjrBIkjTgeHh6YkeFTa1Hq+1ylNsplUqNVqdHo/PELnS0oEeLnVB7DZaKQiorzuJwOK4q\no1arMRqNV6UpioLJZEKj0ZCVldXp++3fv58jR450+OosWJk0aRLJyckdvjobQXEnHx8fDh06xMaN\nGwkJCWHWrFm8++67LstER0dz9913A/Dkk0/y2WefuUy/ld3IftIXDAaD47HHHqvJzs7u1ghIeHi4\nZfLkyc0ATz31VM3f//53H1fpfUWOsEiSNOAszxjeJ/UaG+upMzXg72gizFFLS4WRRpUvoWHRCCFI\nS0sjMzOTNWvWXF7ELjc3l9TUVMxmM/7+/uTl5ZGTk8OKFSvw8Pg6mOrpCMvevXu7bG9kZCTnz5+/\n/Lq0tJTIyMjenHoHarWatLQ00tLSGD58OFu2bGHu3Lmd5r92Ub9LrztLvxG6GgnpK33dT5xc96tG\nUwCio6MtZWVlOld5XPnpT39amZqaOmz27NldLvs/UK69HGGRJOkbw8cvgLDw21ECBlOpCkSFgzBH\nDaby41ysLCUlJYWRI0eybNkyACorK1myZAmrV6/m8OHDfPnllxQVFbFmzZqrPoSgb/5yHjNmDKdO\nnaK4uBiLxcL27dsvz5vorokTJ1JWVnZVWlFREadOnbr8+siRI9x+++0u6zl37hwHDhwAYNu2bYwb\nN85l+q2sr/vJtdd9x44dhhkzZtRfWc+ECROaS0pKPE6cOKEzm83i2jxjx46NLy4u1nZ2DmFhYfYH\nH3ywbtu2bV3esysvL9ft3bvXG2Dr1q2G73znO0ZX6X1FBiySJH3jeHp5ExYeg8N/MBdVgegUGyG2\nKn7+4lK++OILVq5cySeffMLChQs5e/YsixYt4uDBg9x11114e3vfsHZqNBrWr1/P/fffT2JiIjNn\nziQpKeny8alTp3LhwgUAHn/8ccaOHUtRURFRUVFs2rQJh8PB6dOnO0zGNRqNPP300wwbNowRI0ZQ\nWFjI8uXLXbYlISGBN954g8TEROrq6li4cKHL9FtZdnY2+fn5fdZPrrzuGRkZntOnT68dPXq0GWDC\nhAlxJSUlWq1Wy69+9atzU6ZMiR8yZEjSlXnsdjtnz57Vh4SEuJxD8rOf/ayivr6+yzstMTEx5tdf\nfz00NjY2qb6+XrN06dIqV+l9RXQ1a34gGT16tJKfn9/fzZCkAU8IcUhRlNH93Y7OOPtdPn78OImJ\nif3SnsaGOqymGgyOJixCQ73Kj7Dwq0cc5s2bx4YNG3jppZeYMmUK48eP75e29kRBQQGbN2/m1Vdf\nva56SkpKmDZtGgUFBd1K/yZzdz8pKCgwJScnH+9JmYMHD3ps2LAh+J133un+LPVOFBUV6aZNmzbk\n1KlT/+xO+vU6evRocEpKSoyzY3IOiyRJ33h+/oHgH0hlxXkCHPWEOWqpKncQFHb75aeJ3n77baBt\nwbWbRXJy8nUHK1LPDIR+MmbMGPOYMWOuO1gZaGTAIkmS1C4sPBqzOYiG2vOEKPVUVyr4B0Wi1en7\nu2k3RE1NDRMnTuyQ/vHHHzsdRYmJiZGjK7eIiooKdVpaWsK16Z9++mmRs1GUhIQEi7tHV7oiAxZJ\nkqQreHh4oQm9g/qqMwQrDdTUKPgFRaN1sbbGrSIoKIgjR470dzOkfhAeHm4/ceKE82WUBwg56VaS\nJOkaGo0G37A7qBU+BCmNNNWcw25z6xpYkiT1kAxYJEmSnFCr1ASE3UGN8MWgNFFbda6/myRJ32gy\nYJEkSeqESqUiIHQwDXgR7GigslwGLZLUX2TAIkmS5IJarUYXEEmr0BHkqONiRVnXhSRJcjsZsEiS\nJHXB08sHk75tQVA/Rx11NX26PpYkSU7IgEWSJKkbDEFh1GgM6BQr2tZqmo0d94ORJKnvyIBFkiSp\nm8LCoqlWB+KDGWtTOS3Nzf3dJEn6xugyYBFCbBZCXBRCOF0dSLRZJ4Q4LYT4SgiR2lVZIcRyIUSZ\nEOJI+9fU6z8VSZKkvhcaHkOV8CdAacbSUEpTQ11/N0mSvhG6M8LyLjDFxfF0YEj713zg190s+5qi\nKHe2f+3uRjskSZL6XElJCVOnTiUhIYH4+HheeeWVDnlCImKpEgH4Y0LVXM7F8r5bBT0nJ4eEhATi\n4uLIzs7uNF9WVhahoaEkJyd3q95Vq1aRlJTEiBEjuPPOO/n8889d5l+3bh2JiYlkZmbi4+PjNM/y\n5ctZu3Ztt97/ZtedfnI9Ll339PR0zxdffDHcWZ7333/fLyYmJvm2225L7izPtYQQo+bNmxd16fWy\nZcvClixZMshVmZUrV4bGxsYmZWRkDPby8hrpLM+SJUsGLVu2LKw7beitLgMWRVH+BtS6yPIQ8Bul\nzT+AACFERDfLSpIkDRgOh4MZM2awYMECioqKOHbsGPn5+WzcuLFD3pCIwVSqDHgoVgyOGi5WlNBY\nV+PW9tjtdhYvXsyePXsoLCzkvffeo7DQ+WKkc+fOJScnp1v1HjhwgA8//JDDhw/z1VdfsXfvXqKj\no12WefPNN8nNzWXr1q09Po9bTU/6SW9ced137tzZ8sEHHxgOHTrkcWUem83Gs88+e9vu3btPnjx5\n8p/O8jij0+mU3bt3B5aXl3d7pftNmzaF5Obmnty1a1dxb87HXdyxNH8kcP6K16XtaeVdlPuhEGIO\nkA88pyiK03FVIcR82kZuuO22266/tZIkDXx7/gMqjrm3zvDhkN75CAXARx99RExMDBkZGQDo9XrW\nr1/PhAkTmD9/fof8YeG3U1fnhbalmlBHHeYWIxdbm1ArWgxhEQjV9U0T/OKLL4iLiyM2NhaA2bNn\ns3PnToYNG9Yh7z333ENJSUm36i0vLyc4OBi9vm2PpODgYJf5FyxYwJkzZ0hPTycrK+uqY6tWrWLL\nli2EhoYSHR3NqFGjutUGd9izZw8VFRVurTM8PJz09HSXeXraT3rqyuteUFDAI488Uvv+++8HjBo1\n6vLJfvrpp963335767BhwyyA0zzOqNVqZc6cOVWrV68Oe/3117t8Rv+JJ564rbS0VJ+enj4kMzOz\n+spjL7zwQvj//u//BgcFBVkHDRpkGTlypKm359wd/TXp9tdALHAnbYHNrzrLqCjKRkVRRiuKMjok\nJORGtU+SpG+g48ePk5KSclVaREQEjY2NWCwWp2UCA0PwjhjKtx/5N+767qNMnng/902ayIjhSSQn\nJbFj+3tYzL37f7ysrOyqkY+oqCjKyq5/HZjJkydz/vx54uPjWbRoEfv27XOZ/6233mLQoEHk5eXx\n7LPPXk4/dOgQ27dv58iRI+zevZuDBw9ed9tuBr3pJ5eMHz+eO++8s8PX3r17L+dxct0tZWVlV21m\ndf78eV1kZKTFVZ7OPP/88xd37NhhqKmpUXeVd9u2bedCQ0Ot+/btO/nzn//84qX0/fv3e/3xj380\nHDt2rDA3N/fU0aNHvbvz3tfDHSMsZcCVY4lR7WmdUhSl8tL3Qoi3gQ/d0A5Jkm4VXYyE9BW1Wo3R\naLwqTVEUTCYTGo2GrKwsNm/e3KGcEIJ//OMLFEWhuvoCOqsRX6UFlVCwKmpMtaXUq3Qodg0aRcHL\nEMCDGQ87HR1YtWoVDz30UJ+dI4CPjw+HDh1i//795OXlMWvWLLKzs5k7d26P6tm/fz8PP/wwXl5e\nAJdHHG6UrkZC+kpv+wm0/cz6m8FgcDz22GM12dnZoZ6eno7e1JGXl+czderUel9fXwfA5MmT693b\nyo7cEbDsAn4ghNgO3AU0KIri8naQECLiijwPA3J/ckmS+l1aWhqZmZmsWbMGIQQAubm5pKamYjab\n8ff3Jy8vj5ycHFasWIGHx9dTBsaPH09T09drsyiKgt1uY+VLz/PAuFT8Hc0goFVoMDWY2fq7TQib\nGpXDgc7XCx//IFQqcVV7IiMjOX/+6zvupaWlREZGuuVc1Wo1aWlppKWlMXz4cLZs2dLjgOWbyp39\n5JK1a9cyadIkwOl1v2o0BSA6OvqqERVneVz56U9/Wpmamjps9uzZ1V3nHhi681jze8ABIEEIUSqE\n+J4QYoEQYkF7lt3AGeA08DawyFXZ9kP/KYQ4JoT4CrgX+HqMUZIkqZ+kpKQwcuRIli1bBkBlZSVL\nlixh9erVHD58mC+//JKioiLWrFlz1YcQtP3lfOTIkctfR48epaDgn0yfNRfNoOE0+sVQpQ6kFS1+\nDhNhjlpCVVV4a5qwmuu5ePE8F0vLqD57lvqLF7DabIwZM4ZTp05RXFyMxWJh+/btPR7FmDhxYofb\nSEVFRZw6dery6yNHjnD77bf3+Od1zz338Kc//YmWlhaampr485//3OM6bkbu7CeXvi4FK0CH675j\nxw7DjBkzrhrBmDBhQnNJSYnHiRMndGazWVybZ+zYsfHFxcXazs4hLCzM/uCDD9Zt27bN9QSmTtx3\n333G3bt3BxiNRlFXV6fKzc0N6E09PdHlCIuiKI93cVwBFvekrKIoT3WrdZIkSTdQdnY2+fn5/O53\nv+Pee+9l/fr1nD17lkWLFvH0009z11134e3d81v1Qgj8fALBJxAAu8NOvbEOm6kJD4eZQIcRlVBQ\nBLRo9ZjsemqqytFYVax66SW+O2kiDgW+973vkZSUdLneqVOn8s477zBo0CAef/xxPv30U6qrq4mK\nimLFihU888wznD59GoPBcFV7jEYjP/zhD6mvr0ej0RAXF9erJ1xSU1OZNWsWKSkphIaGMmbMmB7X\ncTPqq35yiUajYf369dx///2YTCbPzMzMC6NHjzYDTJgwIW7Lli1nY2JirL/61a/OTZkyJd5ut/PE\nE09UX8pjt9s5e/asPiQkxObqfX72s59VbNmypVeTQ8eNG2d6+OGHa5OTk5OCgoKsI0aM6PNVFEVb\nvHFzGD16tJKfn9/fzZCkAU8IcUhRlNH93Y7OOPtdPn78OImJif3Uoq7NmzePDRs28NJLLzFlyhTG\njx/vtrptditNTXU4zEY8HGa8lFaEAJuiwqjyxCz0CLsWjU0BxYTGyxMfQzhqjeu/OQsKCti8eTOv\nvvqq29oquebuflJQUGBKTk4+3pMyBw8e9NiwYUPwO++803cLBPWRo0ePBqekpMQ4OyYDFkm6BcmA\n5eZmsbbS1FiDxmLE29GCRjhwKIJm4YFJ5YHi0KGxCVS2FhSNFb1fIN5+wdf9GLU08PQmYLmZuQpY\n3DHpVpKkW5gQYjMwDbioKEqHZVSFEJnAC4AAmoCFiqIcvbGtvLXotHqCgtoWH7Xb7dQ11aCYm/Bx\nmPB1tOBQwKjxwqTTozh8UZocWOrKwNGE8NDjFRCC3ssXhOjina5WU1PDxIkTO6R//PHHBAUFueXc\npIGpoqJCnZaWlnBt+qeffloUHh5u7482XUsGLJIkdeVdYD3wm06OFwMTFEWpE0KkAxtpe2JQcgO1\nWk1gQCgQiqIo1DfV4jDV42Nvxs9hwqEImtSemLQeKA5/tA41zVVNtFjLcWjsqD298A4MQ6P37PK9\ngoKCOHLkSN+flDTghIeH20+cOOF8GeUBQgYskiS5pCjK34QQMS6O//2Kl/+gbS0mqQ8IIQjwCwK/\nIBwOB3VNNdDSgI/dhL/DhF1R0aj2okWjR9H6oEWNYlFoPncBRWnBoVOj8fbFJzAUlaZba4xJ0oAh\nAxZJktzpe8AeZwfkNhvupVKpCPQPAf8Q7A47tQ3VqMyN+DmaCRRGWoWWRuGFWaVDaDxRKV5oHOBo\ntGKqOoVNq+DQadB4++IdEIpa0+kTsJI0IMiARZIktxBC3EtbwDLO2XFFUTbSdruI0aNH3zyz/W8C\napUaQ2AYEIbF2kpdQxUeliZClAYAjHjQrPakVWixeGoQHgY0ikBts6G62ERrZR1WDdh1aoSnF17+\nQeg9ne/IPJApioK5pZlWYwOO1haEzQYOB+JSbxMg1GrUeg88/YNQe9185/hNJgMWSZKumxBiBPAO\nkK4oinu3LJZ6RKfVExzcdlfOaGqitakGH3sTYY467IqgSeWFWeWJ1a7GqlNh1vqhQYXK7kDXYkLb\n3ISjugmjGmwagV2rRqX3QO8TgKePH0L0/5NINpuNFmM9VpMRxdKKymZDbVPQ2EEooG/PpwAOFSjt\nc4+FAmqHA4xWLDVN2NWAjwfe4bchtPIW2UAnAxZJkq6LEOI2YAfwlKIoJ/u7PdLXfLx88fHyRVEU\n6hqrwdSAn6OZANFMq9DSpPLGoXjgcCjYNGDx9UKteKNyCFR2C9qWJvStNjAaocaISYBdDXaNwKFR\nI7Ra1DoPtB7e6L18UKvd95Fis1oxmxqxmo04WlsRNhsqm4La3haYaPj6A8yuApsGzDoViqZtBEXr\n5YPe0w+1WnN5+Xybw47J3ILZWIfS0ozebEPfYKal8SQE+uAZcfvlvNLAIwMWSZJcat9iIw0IFkKU\nAj8HtACKorwFLAOCgDfb/7O3DeQ1YL6JhBCX57tYbVbq6ivxtDQR7Khve0Ra5UWrxgeVVYsNB1aV\nA9QaLNpA1KhQKSAcrQhbMyqbA41VQWO2ATagBajDQlvg4FBdGtUQKCrR9mi1SqB83Zj2bxRwKAhF\nAQWEoiAcCioHqO2gUkBN2xe0jZLY2oMlq4cKdDo0Hl54+gTg2Y0noAA0KjV+Xj74td8KstptVFeV\n4tFoxKPWSHPzcbwHxyHkhOQBSQYskiS51I3tOb4PfP8GNUe6TlqN9vIto6bmeqxNtfjajfhZTVhQ\n06TxxdMzEEeLHavNhh0HNpUCKi0qdSBqvQo0GrQ+HlitJuzmFhxWC9htYHegsrcFIer2f4XSFnx0\nRhHgEO3/qsChFti0AtQq0GjR6D3Qefvh4enj9tEPrVpDRHgMJkMr9eX/IqDJgen0Sbxi4xA6j64r\nkG4oGbBIkiR9Q/l6B4B3AHa7jZr6i+haGzHY6qGpnmbhid3Dj0D/UFqNZlpNLdiwY8WO1W7HVN+K\nGoEaPVqdD57+3ug89E7fR3E4UBQFRVFAcaCgIIQK1RW3a/qTl06PPnoo5eWnMdRZaD5zGu87EhBa\n+eTUQNL/s6ckSZIGkJKSEqZOnUpCQgLx8fG88sor/dqenJwcEhISiIuLIzs7u9N8WVlZhIaGkpzc\nYTFip4QQPPfccwCo1Rr+53+28auN2zEZ4qjVBKDDSlBrJUplIa2tF9EHehIaGU54eBi+Om/0aBAI\nLNhptpuprq2hoqyc6rJK6itqMBtbAFi3bh3DkpJ4as4c1BoNaq0OjVaPWqMdEMHKJWqVikGDhlAb\nqEVlA1PJKVxtXdPX/eTSdU9PT/d88cUXw53leeyxx2IMBkPKkCFDkq49FhkZOTw+Pn7Y0KFDhyUn\nJ3e558ULL7wQHhcXl3SpzCeffNL73Rs7sXLlytDY2NikjIyMwb0pLwMWSZKkdg6HgxkzZrBgwQKK\nioo4duwY+fn5vdrJ2B3sdjuLFy9mz549FBYW8t5771FY6Hwx0rlz55KTk9PtuvV6PTt27KC6uvqq\ndG9PX4LCBqMJT6LWM4IWoSfQ1oBX7Skay4uob6rGJ8iXoMhQQiPDCQsNxUfnhV7RoGoPYEyOVmob\n66goK+f1dev4/e+2s3H9Wzgcjuv6efQ1lRCER8RR76tC1erAXHrGab6+7idXXvedO3e2fPDBB4ZD\nhw51uEeVlZVVvWvXrlOd1bNv376TJ06cKCwoKHC5F9HevXu9P/roo4Bjx44Vnjx5sjAvL+9kbGys\nxR3ncqVNmzaF5Obmnty1a1dxb8rLW0KSJA04a75Yw4naE26tc6hhKC986wWXeT766CNiYmLIyMgA\n2j7U169fz4QJE5g/f75b29MdX3zxBXFxccTGxgIwe/Zsdu7cybBhwzrkveeeeygpKel23RqNhvnz\n5/Paa6+xatWqDsdVKhWGwHAIDKfZ1MSpf37J7McfYdSIRA4dO8GQoUP5ze+20lDXwJQpUxg1ahSH\nDx9m2LBh/Pq/30CtUrPkP57j7LlzzHxyNrNmzWL+vPloUKFGhUarxcvPG61H7ye4njz5C5qM7t0X\n0NcnkciY52m2nMaroQV7YANqH/+r8vR1P7nyuhcUFPDII4/Uvv/++wGjRo2quDJfenq6saio6Lpn\nCJeVlWkNBoPN09NTAYiIiLC5yl9UVKSbMmXKkOHDh5sKCgq84uPjW/7whz+UXLhwQeMs3dfX1/HE\nE0/cVlpaqk9PTx+SmZlZ/fOf//xiT9spR1gkSZLaHT9+nJSUlKvSIiIiaGxsxGJx/Qfn+PHjufPO\nOzt87d27t9ftKSsrIzo6+vLrqKgoysrKel3ftRYvXszWrVtpaGhwmc/by5eAkNso+lcJmd+bx+F9\nHxLireXttb+g4WIJRUVFLFq0iOPHj+Pv789vtv+OoEEhbPntbxg0aBB/3ZPDjxf8AB1qFBRasdFs\na6Gqtpq+ClckAAAgAElEQVSKsnKqyiqpK6+mpbEZxdH/awp66zywBgWhCGgpK+1wa6iv+4mT624p\nKyvrcWBy7733xiclJSWuXbs22FW+6dOnN164cEEXExOT/OSTT972l7/8pcsV9UpKSjx+8IMfXDxz\n5sw/fX19Hb/85S9DXKVv27btXGhoqHXfvn0nexOsgBxhkSRpAOpqJKSvqNVqjEbjVWmKomAymdBo\nNGRlZbF582anZffv39+j95o0aRIVFRUd0letWsVDDz3Uo7p6y8/Pjzlz5rBu3To8Pbt+NDg6Opqp\nDzwMwPQn57Jh/Rs8+sAkogeFM3xwMHUNVWRmZvL666+zdOnSy+U8fbwJDP76M9PaasHU2IzNYm17\nCgkHVsVOi9ECTQ1tozBCjd5Dj5e/Nyq1ukNbAOLjX7rOn0DnwgPDuWCsx9Box3qxDF3Y11tk3ch+\n0lufffbZicGDB1vLyso09913X3xSUpI5PT3d6Cyvv7+/o6CgoDAnJ8f3448/9n366afvWLZsWemP\nfvSjTheBDA8Pt0yePLkZ4KmnnqpZt25daGZmZp2zdKDSHeckAxZJkqR2aWlpZGZmsmbNmssTQnNz\nc0lNTcVsNuPv709eXh45OTmsWLECD4+vpxWMHz+epqamDnWuXbuWSZMmdUjvzshLZGQk58+fv/y6\ntLSUyMjI3pxap37yk5+QmprKM88802XeKyfJ+nj5o/P0xRI4GEWo8FLMaJpLaa05i9Xait1hR61y\nHmho9Tr8Q74eMHA4HLQ0NNPaYsau2LELBRtWWs1WGluMbbeQUKHV6fAO8EGt7fuPLiEE3iHRWEwl\naGrr0YYMQqjabkr0dT9xct11kZGRPZpTMnjwYGt7XbYHHnig/sCBA96dBSzQdotw2rRpTdOmTWsa\nMWJEy29/+9sgVwHLtROmL73uLN0d5C0hSZKkdikpKYwcOZJly5YBUFlZyZIlS1i9ejWHDx/myy+/\npKioiDVr1lz1IQRtfzkfOXKkw5ezYKW7xowZw6lTpyguLsZisbB9+/bL8ya6a+LEiS5vIxkMBmbO\nnMmmTZu6rOvcuXMcOHAAgG3btjFu3Dg89J6Ull3gwJlGqrXB/OFPH3LfqERsFYVUV53vosY2KpUK\n70BfDINCCIkKJ2xQOAb/QLxUenSoof02ktFqovLiRS6WVVBbXk2rydyt+nsrwNMHo48WlR1aL5Ze\nTu/rfnLtdd+xY4dhxowZ9d1td2Njo6qurk516fu8vDy/ESNGtACMHTs2vri4+KrntY8ePao/duzY\n5WfSv/zyS8+oqCiXAVJ5eblu79693gBbt241fOc73zG6SncHGbBIkiS1y87OJj8/n5UrV/LJJ5+w\ncOFCzp49y6JFizh48CB33XUX3t5uf9qzUxqNhvXr13P//feTmJjIzJkzSUr6+gnWqVOncuHCBQAe\nf/xxxo4dS1FREVFRUWzatAmHw8Hp06cxGAwu3+e5557r8LSQMwkJCbzxxhskJiZSV1fHwoULL6dv\n2LCB8fdMpsEMM+cvxo6aYGs12K3UVJdht9u7fd5CCDy8PQkIDyI4MoywyAhCgoPx1nigRY0DBbNi\noaaulotlFdSVV2NttXa7/p7wC46mVQP2usbLc1n6up9ced0zMjI8p0+fXjt69GgzwIQJE+JKSkq0\nAA8++ODgcePGDS0uLtaHhYWNeO2114IBSktLNd/+9reHJiQkDEtNTU2cPHly/aOPPtpot9s5e/as\nPiQk5KpJtY2Njeo5c+YMvuOOO5Li4+OHnThxwnPNmjUXXLUxJibG/Prrr4fGxsYm1dfXa5YuXVrl\nKt0dhKvnzAea0aNHK/n5+f3dDEka8IQQhwby8vjOfpePHz9OYmKXy0X0m3nz5rFhwwZeeuklpkyZ\nwvjx4/u7SV0qKChg8+bNvPrqq9ddV0lJCdOmTaOgoKBb6YqiUFdfiUdLLV60YkFDozaAQMMg1J3M\nSekuRVEwNRgxN7dgxY5DtC3vr0WNt483Xv7u3YW57PwJDA02NOHBaIOdLolymbv7SUFBgSk5Odkt\nj0IdPHjQY8OGDcHvvPNOade5O1dUVKSbNm3akFOnTv2zO+k9cfTo0eCUlJQYZ8fkHBZJkqRuePvt\ntwGcPgI8UCUnJ7slWOkNIQSGwHCUgDBq2wOXYGs1rZUN1HsEYQgM7/X8BiEE3gG+eAe0bexorG3E\nbDZjxU59cyNGoxFvb2+8A3zdci4ehgjsTeex19Z0GbAM5H4yZswY85gxY64rWOlPMmCRJEmSLqup\nqWHixIkd0j/++OMOoygAMTExTtMvuTJwqamrxNtcTZC5gubyeqw+IQT4uXzitktCCHyD/PHFn1aT\nGWNdIxZsNDQ3YWo24Rfoj97r+vYFMnj5Uemlwt/owNHciMrb77rqu1lUVFSo09LSEq5N//TTT4uc\njaIkJCRYrmd0pSsyYJEkSZIuCwoK4siRI26vVwhBkCEcuyOE6poL+Fvq8Daep6G5Fl1gFJ4eXtf9\nHnovD/ReHljMFhpr6rBgp7auFo9GHQFhQdc1ouPwCwBjLS1VFXh/QwKW8PBw+4kTJ5wvrdwP5KRb\nSZIk6YZRq9QEh0SjhA6lVu2Pr8OEruYU1VXn3bZ0v85DR3BkGAHefqhQ0eKwUHWhEpul9xNzg/1D\nMekBk8XlHkNS3+kyYBFCbBZCXBRCOB3zE23WCSFOCyG+EkKkdlVWCGEQQuQKIU61/xt4/aciSZIk\n3Sx0Wh2GsFiaAwbTInQEW6tpqThBQ1Ot297DK8CHkIhQ9IoWGw6qq6oxNTX3rr1qDa0eGlQOsNe7\n7cEXqQe6M8LyLjDFxfF0YEj713zg190o+x/Ax4qiDAE+bn8tSZIkfcP4evvjHTGUGl0oesWKb+NZ\naipL3DbaolKpCIoMwUfrhQI0NDZgrG/sVV0a/xAcAsy1na6nJvWhLgMWRVH+BrgKeR8CfqO0+QcQ\nIISI6KLsQ8CW9u+3ANN71GpJkiTpliGEICg4EltIPEaVF0H2OloqijCaOq4I21t+oQH4e/siEDQ2\nGzHW9TxoCfYJxKQHldmO4uj+ujKSe7hjDkskcOVyhqXtaa6EKYpS3v59BRDWWUYhxHwhRL4QIr+q\nSg7DSZIk3ao8dJ74hsdTowvBQ2nFs+4MNTUu1y/rEa8AHwL8AlAhaDIZMTX2bBFWlUqFxUOHUMBe\nL0dZbrR+n3SrtM1e6nQGk6IoGxVFGa0oyuiQkJAb2DJJkiTpRmsbbYnCbLgDs9AS1FpJbcW/sLtp\nRMPD1xM/Hz9A0NDUSGtLz5b31/gZUASYG9w310bqHncELGVA9BWvo9rTXKm8dNuo/d9ebTUtSZIk\n3Zq8PX3xCIunTuWLwdFIS8VJWlpNbqnby98bXw9vFKC+tg5HD4KhIO9AWnQgzDb5tNAN5o6AZRcw\np/1poW8DDVfc7nFV5un2758GdrqhHZIkSdetpKSEqVOnkpCQQHx8PK+88kq/ticnJ4eEhATi4uLI\nzs7uNF9WVhahoaEkJyd3q14hBM8999zl12vXrmX58uUuy6xbt47ExEQyMzPx8XG+/P3y5ctZu3Zt\nt9rQFbVaQ2B4HDW6ELyUVtQ1/6KpucEtdfsE+eGl0mMXCjXlXe+jdIlGrcai13D+XBlT75/cZ/3k\n0nVPT0/3fPHFF50ur/vYY4/FGAyGlCFDhiRdeywyMnJ4fHz8sKFDhw5LTk7ucs+LF154ITwuLi7p\nUplPPvnE5WZIK1euDI2NjU3KyMgY7OXlNdJZniVLlgxatmxZp1M+eqo7jzW/BxwAEoQQpUKI7wkh\nFgghFrRn2Q2cAU4DbwOLXJVtP5QNfFcIcQqY1P5akiSpXzkcDmbMmMGCBQsoKiri2LFj5Ofns3Hj\nxn5pj91uZ/HixezZs4fCwkLee+89Cgudr+M1d+5ccnJyul23Xq9nx44d3dr08JI333yT3Nxctm7d\n2u0y7hAUHEWjbzRCUfCsL6GuwT3zGf3DDegUDVZhp7G6rtvlHJ6+PP7ss2TNerRP+smV133nzp0t\nH3zwgeHQoUMdluvNysqq3rVr16nO6tm3b9/JEydOFBYUFLjci2jv3r3eH330UcCxY8cKT548WZiX\nl3cyNjbW5W7NmzZtCsnNzT25a9eu4u6f2fXpzlNCjyuKEqEoilZRlChFUTYpivKWoihvtR9XFEVZ\nrCjKHYqiDFcUJd9V2fb0GkVRJiqKMkRRlEmKosibgZIk9buPPvqImJgYMjIygLYP9fXr17ttxKCn\nvvjiC+Li4oiNjUWn0zF79mx27nQ+IH3PPfd0uSvzlTQaDfPnz+e1117rVv4FCxZw5swZ0tPTO5RZ\ntWoV8fHxjBs3jqKiom63oScC/IJoDYzBLlT4G8uore1qIL9rQggCggNRKYLmVjM2a/cWlvviwCGi\noyKZMn4c4P5+cu11f+SRR2rff//9gGvzpaenG6/debk3ysrKtAaDwebp6akARERE2GJiYjr9YTzx\nxBO3lZaW6tPT04esWLEi9MpjL7zwQnhMTEzyqFGjEk6dOqW/3rZdSS7NL0nSgFOxejWtx0+4tU59\n4lDCX3zRZZ7jx4+TkpJyVVpERASNjY1YLBZ0Ol2nZcePH09TU8fHcNeuXcukSZN61eaysjKio7+e\nIhgVFcXnn3/eq7qcWbx4MSNGjODf//3fu8z71ltvkZOTQ15eHsHBwbz00ksAHDp0iO3bt3PkyBFs\nNhupqamMGjXKbW28ko+XH2Z1HOaaMwS0VLD0WBP/svVuuf0r2S127Iodcb6WkUH+/GJIlMv8xadP\nk5iUgNqioNhtCLXGrf3EyXW3fP755z3egvree++NV6vVyjPPPFO1dOnSTofSpk+f3vjKK68MiomJ\nSR43blzj448/XvvAAw90+gjVtm3bzu3bt89/3759JyMiImxr1qyJBNi/f7/XH//4R8OxY8cKrVYr\nd95557CRI0e6Z+IRMmCRJEm6TK1WYzRe/f+0oiiYTCY0Gg1ZWVls3rzZadn9+/f36L0mTZpERUVF\nh/RVq1bx0EMP9aiu3vLz82POnDmsW7cOT0/PXtWxf/9+Hn74Yby82vYCujQ61Vc89J60hsRhrvoX\nHrZmbFYdGm3nAUJ3qHVqHK0OFBSs3Vi+X61W02RuRQD2hlo0htA+6ye99dlnn50YPHiwtaysTHPf\nfffFJyUlmdPT050GIf7+/o6CgoLCnJwc348//tj36aefvmPZsmWlP/rRj3r07HZeXp7P1KlT6319\nfR0AkydPrnfHuVwiAxZJkgacrkZC+kpaWhqZmZmsWbPm8kZ5ubm5pKamYjab8ff3Jy8vj5ycHFas\nWIGHx9fTCno6wrJ3794u2xMZGcn5818vc1VaWkpkZFfLXPXMT37yE1JTU3nmmWfcWm9f0mv1WELu\n4EX+hYfSSr13MIaA65vb2Wo0U9tQh4q2INXVRolpaWn8esNbOBb9CHNjPT6GULf2EyfXXRcZGely\nTsm1Bg8ebG2vy/bAAw/UHzhwwLuzgAXabhFOmzatadq0aU0jRoxo+e1vfxvU04Clr/X7OiySJEkD\nRUpKCiNHjmTZsmUAVFZWsmTJElavXs3hw4f58ssvKSoqYs2aNVd9CEHbX85Hjhzp8NXb20EAY8aM\n4dSpUxQXF2OxWNi+fXuPRzAmTpxIWVnnK00YDAZmzpzJpk2betXGe+65hz/96U+0tLTQ1NTEn//8\n517V01M6rR51SCytQod/czn1jdf32ar38UCPFrtQaKxxPQE3JSWFUamp/PzX68FscXs/ufa679ix\nwzBjxoxuj1Y0Njaq6urqVJe+z8vL8xsxYkQLwNixY+OLi4u1V+Y/evSo/tixY5fnm3z55ZeeUVFR\nPQqQAO677z7j7t27A4xGo6irq1Pl5uZ2mHdzPWTAIkmS1C47O5v8/HxWrlzJJ598wsKFCzl79iyL\nFi3i4MGD3HXXXXh7u3za0600Gg3r16/n/vvvJzExkZkzZ5KU9PUTrFOnTuXChbaVYB9//HHGjh1L\nUVERUVFRbNq0CYfDwenTp7ucjPvcc8/16GmhK6WmpjJr1ixSUlJIT09nzJgxvaqnN/RaDxRDDHah\nxrupDKPp+h559g9pm4Db0trqco2V7OxsDh86zK9+vZH9//c5C//t39zaT6687hkZGZ7Tp0+vHT16\ntBlgwoQJcSUlJVqABx98cPC4ceOGFhcX68PCwka89tprwQClpaWab3/720MTEhKGpaamJk6ePLn+\n0UcfbbTb7Zw9e1Z/7UTdxsZG9Zw5cwbfcccdSfHx8cNOnDjhuWbNmh4vMTxu3DjTww8/XJucnJw0\nadKkISNGjOjdTpOdEDfTwjejR49W8vPzu84oSd9wQohDiqKM7u92dMbZ7/Lx48dJTOxyuYh+M2/e\nPDZs2MBLL73ElClTGD9+fH83qUsFBQVs3ryZV199tb+b0qeamhvwrC/BLtSIkCHotL1/OKXuQjUt\nWPDWeeAf7DrQu3DhNIG1ZjQRIWiD2m5JubufFBQUmJKTk10+ltxdBw8e9NiwYUPwO++8U+qO+vrC\n0aNHg1NSUmKcHfvmBCymWijNh8H3gLbD4+ySdEuRAYv0TVPXcJEAYxlNwguf8CGoVL27gWCz2Khu\n37cubFC4y7ksFxuq8T1fgd1Xh8/t8b16v664M2C5GbgKWG79SbeKAsf+gOUv/46utQ6LRwjae36M\nGJ0Fuhs3tCtJknQzqKmpYeLEiR3SP/74Y4KCgvqhRd0T6B9KTauZIFsNNVXnCAqL6VU9Gp0GndBi\nxoKxrhFfg3+nef29/WnRVKBu7d76LTebiooKdVpaWsK16Z9++mlReHj4Dd+u+tYOWGqLse56Fm1J\nHv90xLHFkcmjzXmM++v/o/XTtWi+sxj1t/8NPDrvkJIkSd8kQUFBHDlypL+b0SuGkGgaKswYbHXU\n1nliCOzdk0O+gX601tbQ0mLCl84/H/QaLQ06gU+LguJwIHo5qjNQhYeH20+cOOF8aeV+cGv9dC+x\n2+D//hv7G9/GUnKA5ba5fPKd3/KL/7ecCxn/yw+9/pPPWgaj/nQVrWuHYcn9RdstI0mSJOmmJYTA\nK2QwrUKHr6my15slaj116FBjQ8FsanGZ167VIBRwuGmPI6lzt17AUnYY+4Y0yF3GJ5Yk/s33TWYs\neJnnpgzD10PLzDHR/PfS+SiP/y//HrSej1uHofu/tVjWDsP04YvQVNnfZyBJkiT1klajpdU3AjUO\nrDXne72jsqdX25QBY32j64xevgC0Nrp1jTTJiVsnYGk1Qs5PUd6ZSO3FUhZan+WrcW+y6cfTGR51\n9ZCeSiWYNCyM//zhU4TP+z0rojex25qK/uCbWF9NpuGDZ6FhwE6iliRJklzw9zVQpw3EDxO1Nb37\nv9wzwAstaqyKHYfD0Wk+L29/7Cqwt7geiZGu360xh+XkRzg+XIKqsZTf2Sbxx6Dv8/LM75Ac2fXc\nlNTbAkn93qOcqZrCf338N24r3MD0r7ZgO/Yb6lO+T/BDr8Atdl9SkiTpVhcYHI2xwkRAay0mswEv\nj549ZCGEQKfSYlXsNNXWd/qIs6/eizot6K2dBzWSe9zcn8RNlfCHubBtJiWNMNO6nKp7VrP9h/d3\nK1i5UmyID8/Nnkra87/nf0bt4C+MI/joW1T85pm2OTGSJEnSTUOlUqH4D0KgYKvr3SiLt8EPoQha\nW1s7fx8hsGlVqO2g2Hq8OKzUAzdnwOJwwKF3cawfg7XwL/zSOpMf+a9j2aIslkxOQKfp/WmF+OqZ\nn5HGuOf+l994Pkl4yZ8o3zQLbJ13WEmSJGng8fX2p04TgJ9ioqa2vMflNXrN5cm3VkvnwYijffNF\ne5Ocx9KXbr6ApeokvPsA/PnHHLZEkd6ajTrteXb88N4ej6q4EuTrwfQf/xebfRcQcWEv5W89BBa3\nrjIsSZIk9bGA4Gha0OFrrsZm7/l6KXqdBwhoqu38KSDVpYm3xo6bGkruc3MFLE0VKG/dTXPpMZ63\nzucl/2z+a/GjLPlu/HWNqnTGz0PL4z9czduGpYRW/YOKN9KhRUbQkiRJNwu1Wk2LVwg6bDTUdL4J\nZGe8DD6oFRVWF1MDfLz8sanB4eLWkXT9brKApZwcx13ca/4lkffOY+cPxrl1VMUZT52apxf9jM2D\nfo6hvoDK17+LYrzYp+8pSVL/KSkpYerUqSQkJBAfH88rr7zi1vpzcnJISEggLi6O7OzsXue51qpV\nq0hKSmLEiBHceeedfP755+5sNuvWrSMxMZHMzEy31nsjGAJCacSLAGs9JnPPRspVahUa1NhRsFwR\nkFzZT0YOH8GaTe+gcuPE20t9ID093fPFF18Md5bnscceizEYDClDhgxJuvZYZGTk8Pj4+GFDhw4d\nlpyc3OWeF0KIUfPmzYu69HrZsmVhS5YsGXR9Z9HRypUrQ2NjY5MyMjIG97TsTRWwlCjhrAt4gf/5\nwVR+MqlvRlWc0WlUZM37Cb+LXYNfcwnVr0/EUXf+hry3JPU3IcRmIcRFIURBJ8eHCiEOCCFahRBL\nb3T73MnhcDBjxgwWLFhAUVERx44dIz8/n40bN7qlfrvdzuLFi9mzZw+FhYW89957FBYW9jjPtQ4c\nOMCHH37I4cOH+eqrr9i7dy/R0dFuafMlb775Jrm5uWzdutWt9d4oKv9wBAqWuh5vQoxerwcBxrq2\nNVmc9ZMj//wn/7P9Dyi261+m/8o+sHPnzpYPPvjAcOjQoQ6b4GVlZVXv2rXrVGf17Nu37+SJEycK\nCwoKutyLSKfTKbt37w4sLy/v06eHN23aFJKbm3ty165dxT0te1MFLJ6+gez6wd0kDbrxS+mrVYJn\n5nyf94etQ2+uov6NiVirTt/wdkhSP3gXmOLieC3wI2DtDWlNH/roo4+IiYkhIyMDaPugWr9+PWvX\nuufUvvjiC+Li4oiNjUWn0zF79mx27tzZ4zzXKi8vJzg4uO2DFQgODmbQIOd/HJeUlDB06FAyMzNJ\nTEzk0UcfxWQyuTy2YMECzpw5Q3p6Oq+99pobfhI3no+3P/VqP/wdRoymnq1K6xV49W0hZ/1k5arl\n/PeWLdiN17/i7bV94JFHHql9//33A67Nl56ebgwJCXHLY6xqtVqZM2dO1erVq7u1n0FRUZFu8ODB\nSRkZGYNjY2OTpkyZEtvU1KTqLB3giSeeuK20tFSfnp4+ZMWKFaE9beNNtQ5LmJ8HWvWNibGsrW2L\nAGn1npfThBA8OXM2v/+zD5MOLaT5re/imbULfeTwG9ImSeoPiqL8TQgR4+L4ReCiEOIBd73n/t+f\npPq80V3VARAc7cP4ma531D1+/DgpKSlXpUVERNDY2IjFYkGn03Vadvz48TQ1dZx0uXbtWiZNmgRA\nWVnZVSMfUVFRHW7ddCfPtSZPnszLL79MfHw8kyZNYtasWUyYMKHT/EVFRWzatIm7776brKws3nzz\nTZYuXdrpsbfeeoucnBzy8vIIDg522ZYbacWf/0nhhS5Wor2Cw2FHZWvBTh1qnafTPMMG+fHzB6++\nw9J2W0hFKzasVqvTfhJ+eyyNRiNNddUEBnT+M+plP7F8/vnnPt0+0Xb33ntvvFqtVp555pmqpUuX\nVneV//nnn784fPjwpOXLl1d0p/6SkhKPDRs2lEyePLn5sccei/nlL38ZkpmZWecs/eWXX67ctm3b\nuX379vnv27fvZERERI8DrZtqhKWvGRuq+dtv1/DhnEl89a1UvvrWKP7y/akc3rMFe3tkLYRgVsaD\nfDbuN5htCuZND2C5eLKfWy5JA58QYr4QIl8IkV9VVdXfzXFKrVZjNF4dKCmKgslkQqPRkJWV1WnZ\n/fv3c+TIkQ5flz6E+pKPjw+HDh1i48aNhISEMGvWLN59991O80dHR3P33XcD8OSTT/LZZ59169jN\nTqVSY2ufkWLv4fpaWo0OBDTXNTrtJ55efrSYzahs9gHRTz777LMTJ06cKPzrX/966u233w7ds2dP\nlwGPwWBwPPbYYzXZ2dndGv0IDw+3TJ48uRngqaeeqvn73//u4yr9et1UIyx9oaaihKN/fAfzJ/uI\nPF5NiA08vAQXvhWDsNkZ9EUxnp9l84XfL6kbn8SQmd8j7lvf5aHv3sce7W/5Vt7jNG7MIPBHn6L2\nczovSpIkQFGUjcBGgNGjR7vc4KWrkZC+kpaWRmZmJmvWrEEIAUBubi6pqamYzWb8/f3Jy8sjJyeH\nFStW4OHx9bSC7vzlHBkZyfnzX89/Ky0tJTIy8qr83cnjjFqtJi0tjbS0NIYPH86WLVuYO3eu07yX\nzs3Za1fHBpprR0K6w2xpQVt1kmaVJ34R3e9n3oG+NFe1YLFanfaTA3/bz4hhiZibTX3RT3SRkZE9\nWpVu8ODB1va6bA888ED9gQMHvNPT07sctvzpT39amZqaOmz27Nldjsh01lf6qg99I0dYSv91lI/W\n/picB++i/N50Iv77A/zP1XH+vkRM//0iIz//kgff3sO0//kr8Z99RuULT1J7WwDRe77C9vSP2Zc2\nkr/+YgF3Rvmzf8ybeFprufjraShmuVunJN3MUlJSGDlyJMuWLQOgsrKSJUuWsHr1ag4fPsyXX35J\nUVERa9asuepDCLr3l/OYMWM4deoUxcXFWCwWtm/ffnkeRHfzTJw4kbKyqx/PLSoq4tSpr+deHjly\nhNtvv73T8zx37hwHDhwAYNu2bYwbN65bx24FHjpP6tW++DqaMZq6fztJrVOjRYUdByOGD+/QT5Y+\nt5SfPv9jjh077vZ+smPHDsOMGTO6vaZGY2Ojqq6uTnXp+7y8PL8RI0a0AIwdOza+uLhY21nZsLAw\n+4MPPli3bdu2Lu/9lZeX6/bu3esNsHXrVsN3vvMdo6v06/WNCViMjTXs/sU8cr+bStMDs7ntnb/i\n2WDm3EOpKJv+k7EHvmLauh2Muv8ptFr95XI+fkGkPfMzHnj/M8L3fsi5f0un1VND9NZ91E+bhcdv\nfiepJfAAACAASURBVMX74UsINp2h9Ncz5Iq4knQTy87OJj8/n5UrV/LJJ5+wcOFCzp49y6JFizh4\n8CB33XUX3t4925PmShqNhvXr13P//feTmJjIzJkzSUpqGyWYOnUqFy5ccJnH4XBw+vRpDIar97Ux\nGo08/fTTDBs2jBEjRlBYWMjy5cs7bUdCQgJvvPEGiYmJ1NXVsXDhwm4du1V4BoSiILA29myJCo3Q\noAh4+eWXnfaTF5av4vCxAr41aqTb+klGRobn9OnTa0ePHm0GmDBhQlxJSYkW4MEHHxw8bty4ocXF\nxfqwsLAR/5+9e4+LuswbPv65ZoYZzignQUARERQQTFFzNw+VearsnLrtWrllB7etbPdut31y7WDp\n3t51b7lbuZtPtft03G23wxamZWllKiomoqgpKiiKCHI+zVzPHyCCDDDAwDD4fb9evIDrun6/+Y6/\nwfnO9bsOzz//fDBAbm6u6dJLLx0eHx+fMHr06BHTpk0rvvnmm0usVitHjhyxtDdQ93e/+11+cXFx\nu3dgoqOjq1588cXQmJiYxOLiYtOvfvWrgrbKu0q1t/W2UmoNcA1wSmudZKdeAX8EZgEVwB1a6x0N\ndTMa6ozAX7XWyxvKlwJ3A+eexGNa60/aCzY1NVWnp6c79swu8NE9VxP71SGOR3lTNzGVuOt/xpDk\nzn9yOLx3C3v+vorID9OpMyoypiZyl+9nHAmbzuCFb8uGicKllFLbtdapTjrXW8AUIBg4Cfwe8ADQ\nWr+slAoD0gF/wAaUAQla61Y/vtr7W967dy8jRrS7XITL3H333bzyyis8/vjjzJgxg4kTJ/Z4DJmZ\nmaxZs4bnnnuu0+fIycnhmmuuITOz5Sz1tur6muITB/C3lVMdHIeXxduhY6pKKjlTWoRZGQke2HIy\nTX5+Dr/9xa/406rnWfbiy055nWRmZlYkJSW1Oy3ZEdu2bfN85ZVXgv/61792bnOlJrKzs83XXHPN\nsAMHDuxxpNxRu3btCk5JSYm2V+fIGJbXgFXAG63UzwSGNXyNB14CxiuljMCfgKuAXGCbUupDrfW5\nBQWe11r3yDTIHeveJParQxyelcys595xyjmHjBjPkGXjOThnI4d+9RA//jiT9+JjmZ60jiNvPsDg\n21ZBL773K4SjtNbz2qnPByLbatMX/OUvfwHqF2hzlaSkpC4lK+I8o18I6mwZlcUn8Rrg2BpmFj9P\nTKUG6rT9BeKM3n78eelSrNVVLn2dtGbs2LFVY8eO7XKy4irtJiztTWkErgPe0PVdNd8ppfoppcKB\naOCg1voQgFLq7Ya2ba+A5GQ1VRWcfXoFlf2MTF76Z6efPzZ5EoM++obPnr6X4f/cSmZeOJ6l/0b5\nhTHoused/nhCCOGIwsJCrrzyyhbln3/+eas9KNHR0RdF7wqAn28/Skq88a8roc5ah8nY/ud3pRRG\nDNQ1TG/28Gg+FMTXy5daI6iari8e11vk5+cbp0yZEn9h+ZdffpltrxclPj6+prO9K+1xxiyhCKDp\nsq+5DWX2ysc3+f0BpdR86ruSH9FaF9k7uVJqIbAQYNCgQR0Obv0ffsmQkzWUPLUIH/+gDh/vCLPF\ni2ueep1d096n5rGl9P/Mnz0nXqfOEkDMjF92y2MKIURbgoKCyMjIcHUYvVqtdz9MFccpLMonKNix\nTkIPk5lqax0VZ0sJCG4+lsjTZKbcBJ51zlui39XCwsKs+/bt69GOhta4aqDFS0AMMAo4AfxPaw21\n1qu11qla69SQkJAOPUjO3q0MfPcbckYNYPwtv+hSwI5ImXgjqZ98SdblsUTv9uDYk39m1z/+u9sf\nVwghRMcF+odQhQdeNY7PFvLy9wENNdUtZxkrpbCaFEYraJvVmaEKnJOw5AFNN62IbChrrRyt9Umt\ntVVrbQP+AoxzQhzN2Gw2sh57CG2AUc+ucvbpW+XrF8hNL33Eod/dhaVaUffkGr5+9f/02OMLIYRw\njDIYKDP54001JaVnHDrG5GnChAEr9ies2Ez1Ny50pXNXahbOSVg+BOarepcCZ7XWJ4BtwDCl1BCl\nlBmY29CWhjEu59wAOP2m6cY3nmXI3iJO/2w64UNaTG7qdlf/7BEqVjxLUQD0X/lPPnv6LtqbkSWE\nEKJn+fULxaoVtvJCh9qfG8diU5raGju9LJb6dVdqylouDie6pt2EpWFK42YgXimVq5T6uVLqXqXU\nvQ1NPgEOAQep7y25H0BrXQf8AlgL7AXe1VqfG4jzB6XUbqXU98DlwMPOfFJFp/PwXPUmJyK9uPyh\nPzjz1B1yxdTrMTz9v/wQo4n6+zd8es/VjXsUCSGEcD2L2ZMSgw9+1nLqHNxp2cNUv6dURUnLXhST\nlx8AtVUVzgtSAI7NEmpvSqMGFrVS9wn1Cc2F5T9zNMDO2LTkPoaW2wh44SlMHq1vVtYTrpg8nc9q\nnmff/32Q4RsPs+Hmyxm/5h8EhPT5WaBCCOEWtFcAxooyzpw9RWBQ+9sgePp5U1ZUQY2dHhYfT1/q\njKBrnbKJsmiiz61ulvHlewz94gBHrkpgxI+ctnlsl0y7aibGW5/g6ORKwg6d5fvrZ3Fk97euDksI\nIQTQzz+Yau2BpdqxwbceXh54YMRq5za/p8mjfmpzH5op1Fv0qYSlpqaSwieXUeJnZNITL7k6nGau\nvW4u5T9eTPW0EsyVtRT87C52rX3T1WEJIcRFz2AwUGrywYcqKqraHyyrlMKAwoamrq6uRV3jTCEZ\nt+hUfSphWb/yYQYer4aHf45vf4d2x+4xSimu/+kDHIu7k9Bppyn1AcPDT7Fx9ZOuDk0IIS56Fr/6\ndbqqStrdpBigfqE5BZV2xrHYTEaUBi3jWJyqzyQsRw5sZ+BbX3FkZAiXznvI1eHYZTAorl34JN8P\nmEPK5fkcjTIR8txbrP3t7disMmdfiN4gJyeHWbNmER8fT1xcHM8++6xTz5+WlkZ8fDyxsbEsX768\n020utGzZMhITE0lOTmbUqFFs2bKl1bYvvPACI0aM4LbbbgPA19fXbrulS5eycmWP7KDicn7e/pTh\niU9dmUM9I/kFp/jZz37GJWNTW7xOdMMGurUVnZ8pdO41MHPmTK/HHnsszF6bW265JTowMDBl2LBh\niRfWRUREjIyLi0sYPnx4QlJSUrubdCmlxtx9992NgyuXLFkyYPHixQPbOubpp58OjYmJSZw9e/YQ\nb2/vS+y1Wbx48cAlS5a03HipE5yx0q3Laa3Z/diDRAIjn30B1c17+FitNg7tzGNH2gbKTp/E7O2D\nxdsHT19fvPx88Pb3w6efP/6hgQxKCMPkYWw81sNoYPqi/+XzF6uYOv49PuofS+K/trI2dwZXvPIv\nLN72/+MQQnQ/m83GTTfdxO9//3tmz55NdXU1P/nJT1i9ejULFy7s8vmtViuLFi1i3bp1REZGMnbs\nWGbPnk1CQkKH2lxo8+bNfPzxx+zYsQOLxcLp06ftDgg9589//jPr168nMlIG/zdV5eGDb20hpRVn\n8fPp12o7m83GT+64jQd/8UumT5tGv+DAZq8To5cPUE5tZTmWTsTR9DVQXFxcOW/evMCbbrqpeMyY\nMVVN2y1YsOD0gw8+eOrOO++0uxnSV199tT88PNyh0b9ms1l/8skn/U+cOJHv6DGvvvpqyPr16/cP\nHTq0trWExZn6RMKy8c2VDN1dSO7tVzIqdlS3PIa2aY4fOMP2TzeRs+sbaisOAO1fU4NHGEGRScT/\naALJl1+Cl58ZT7OJK37xMhteqObG+A/5R9AoRn6ey6YbL2f0/32PwPDobnkOQoi2rV27lujoaGbP\nng2AxWJh1apVTJ482SkJy9atW4mNjSUmJgaAuXPn8sEHHzRLRhxpc6ETJ04QHByMxVL/9hgcHNxq\n23vvvZdDhw4xc+ZMFixYwMMPN19VYtmyZbz++uuEhoYSFRXFmDFjOv183Y23XxC6sJDasiJoI2E5\n9zqZNW0GtVgxm83NXieenr7Y1ClsbSSNbWn6GsjMzOTGG288849//KPfmDFj8pu2mzlzZll2drZT\npsIajUY9f/78gmeeeWbAiy++mNde+5/85CeDcnNzLTNnzhx22223NbuP9uijj4a98847wUFBQbUD\nBw6sueSSS5xyb8ztE5biohN4/PE18sM9uXyx87suT+eWsnPtdg5s+YrKkj2gKzCavBhyyUTGXjeT\niLh4aiorqa4op7qinMrSMsqKSigvLqEw9wRHvt9BweH1FBxezzdv+eEXPIKY0WMZd91kJj7wKl/8\n70+5NWQt/771coa8n03WjdcS+fJLRKdc5vTnIoS72PDaak4dOeTUc4YOjuHyO9pOOvbu3UtKSkqz\nsvDwcEpKSqipqcFsbv29YeLEiZSWtrwFsHLlSqZOnQpAXl4eUVHnFwCPjIxscevGkTYXmjZtGk8+\n+SRxcXFMnTqVOXPmMHnyZLttX375ZdLS0tiwYUOLxGb79u28/fbbZGRkUFdXx+jRo3t3wvLpbyB/\nt9NO5w3U+EXg86NforVutbf+3OvEiJEaZaW6srLZ68Tb7EmpCYy1LWcKdfJ1UrNly5YOd79ffvnl\ncUajUd95550Fv/rVr9odnPPrX//61MiRIxOXLl2a317bN9988+hXX30VcK4XZ8WKFREAmzZt8v7X\nv/4VuHv37qza2lpGjRqVIAlLg42/v5+hJTb47yWYGlYYdIY9Gw/y7T8+pLRgF9pWCMpI2NBkRs+c\nzrDx4zE12aXT09cXz1buAcPPKTtzhl2ff83+7zZTlLeTjLSt7PrsdcKGTST15v/mq/9Uc331Bj67\n62b8/7aZwvkLKVr+Gy6ZOd9pz0cI0T6j0UhZWfNBlFprKioqMJlMLFiwgDVr1tg9dtOmTT0Rol2+\nvr5s376dTZs2sWHDBubMmcPy5cu54447OnSeTZs2ccMNN+Dt7Q3Q2NN0MbEaPPCits3bQudeJx5m\nM5W1NVSWVWDx8mp8ndx111384bFH8KhpORamp14nX3/99b4hQ4bU5uXlma644oq4xMTEqpkzZ7Y5\nBSowMNB2yy23FC5fvjzUy8urU/OyN2zY4Dtr1qxiPz8/G8C0adOKO3Mee9w6Yfn+638zdN0+jlwR\nz6zJNzjtvHu/Ocjalx5H20oJGBBDytSbSbpiCl6+fp06n29gID++ZTY/vmU2tTXVZG7YzLYPP+BE\n9qd8tOwzfINTKPQewA36Xb65ex6Vb31L8CPP8mXOQabcJ7OIxMWnvZ6Q7jJlyhRuu+02VqxY0fjp\net26dYwePZqqqioCAgLYsGEDaWlpPPHEE3h6nv+Q5Mgn54iICI4dO7+JfW5uLhERzRcqc6SNPUaj\nkSlTpjBlyhRGjhzJ66+/3uGExe3MdGxAckfoqnJ04f42bwude508/cTTqDNl1NXWtXidfLVtK9+u\n28TTL/yx2XtHJ18n5oiIiA7dXxoyZEhtw7nqrr766uLNmzf7tJewAPz2t789OXr06IS5c+c6Nl2q\nB7ntLKGa2ipOLn2CUh8DE5962Wnnzcs+RdqfnwWquGXJH7jrhRcYO/vaTicrF/IwW7hk+hQW/ul5\n5j71RwbGX0pZ4fccPnqcPx66FdPeY/jNTeXYsAAG/PE9Pn1kLnU11U55bCFE21JSUrjkkktYsmQJ\nACdPnmTx4sU888wz7Nixg507d5Kdnc2KFSuaJStQ/8k5IyOjxde5NyGAsWPHcuDAAQ4fPkxNTQ1v\nv/12i16M9tpceeWV5OU1H2KQnZ3NgQMHGn/PyMhg8ODBHX7+kyZN4t///jeVlZWUlpby0Ucfdfgc\n7s7b04dy5YWPtbzV2ULnXidPLnsSI0byC061eJ0czDnK04sXY9bNZ4B25nXy/vvvB950000O91SU\nlJQYioqKDOd+3rBhg39ycnIlwIQJE+IOHz7s0dqxAwYMsF577bVFb775ZusDodpwxRVXlH3yySf9\nysrKVFFRkWHdunWtDwbqILdNWNY//ysic6uwPjAfvyC7M746rOhkGf989hlsdaeYcf+vGZTY+iA3\nZ4iIG8q8J3/LPS+/xoiJN6GtZ/kmHzZ/o6hLnED2lFii/7OLL26aTOFx597PF0K0tHz5ctLT03n6\n6af54osvuO+++zhy5Aj3338/27ZtY/z48fj4+HT6/CaTiVWrVjF9+nRGjBjBrbfeSmJi/YzUWbNm\ncfz48Tbb2Gw2Dh48SGBgYLPzlpWVcfvtt5OQkEBycjJZWVksXbq0w/GNHj2aOXPmkJKSwsyZMxk7\ndmynn6s7qzJ5Y6GW8kr705LPvU6WLVvGN998zaO//U2L14m3fwAANRUd37W56Wtg9uzZXtdff/2Z\n1NTUKoDJkyfH5uTkeABce+21Qy677LLhhw8ftgwYMCD5+eefDwbIzc01XXrppcPj4+MTRo8ePWLa\ntGnFN998c4nVauXIkSOWkJCQNmeM/O53v8svLi7u1B2Yyy67rOKGG244k5SUlDh16tRhycnJ5Z05\njz3KnVbiS01N1enp6Rw7tIuC6+dSEBvEVf/YiMHQ9byrorSa1371LJXF6Uy4eQE/uuVGJ0TcMTUV\nlax/7R32bfwIravxMEcSPCiChA/eptJb4f/fT5HoxFtfou9SSm3XWqe6Oo7WnPtbbmrv3r2MGNHu\nchEuc/fdd/PKK6/w+OOPM2PGDCZOnNjjMWRmZrJmzRqee+65Hn/si0lpRQl+xT9QaAokKLTtnqri\n44VUUE0/P3+8/XwbXyeP/NevuHpkCuMv/xF+g4Z1OpbMzMyKpKSkvZ0+QRPbtm3zfOWVV4L/+te/\n5jrjfN1h165dwSkpKdH26twuYdm2bRsfz5vMoMwCgv7xdyKHd30Ee12NlTd++2eKctcy/LJZXP3A\n/U6ItvMqS8v4f79fQunxw9h0LSbPIYQXFjP80A5O3z2LKQ+ucEqSJvouSViE6DytNVUnsrBhwGdg\n26/J8sJSzlaX4mU003/A+bsoFTXV2A4ewGYx4j+0869rZyYs7qCthMXtBt1+/e7/EptRwLGfTCLF\nCcmKzab554r3KMpdy8C4McxadK8TouwaLz9ffv4//8Mnb/4Z28b/cOBsLsd8ajl+yWSG/Seftd9e\nwdg/vkrwwKGuDlUI0UsVFhZy5ZVXtij//PPPCQoKckFE7kMpRYXBi0DrWWpqqzF7tL78m8XXC1VV\n2mJPIS8PM2eNYHTzTRDz8/ONU6ZMib+w/Msvv8wOCwvr0SXa3SphsVrrMDz3KqcGWLj8v/63y+fT\nWrP2lfXkZr5NQOgQbn78MVQv6blQSnH1bYvYFptMwkd3sbcghv1n89kXVIOHYQQVdy0lYsGPufRm\n1ydYQojeJygoiIyMDFeH4baUlx+q/CxlJYUEBrW+Qr3RbMSIARvN71YopagzKkx2pja7k7CwMOu+\nffuyXB0HuNmg29LjRwg8ayVwye/w8PTq8vm++9dOsr5ajcUngJ88/RQe5s4soty9xo6fiPm+zxkY\nVcF9sV8RHh5GHSfJ8Sti6z938cZdD1J0st1FCYUQQnRAgF8gtdqIqabtQbP1OzcbsKLRunlvis2k\nMNpAWx1a6V60w60SFktJFTmTYhl55S1dPlfW14fY/N7zGI0w78mn8Q5w2swrp4uKiCT+kbV8HXIT\nP+n3HtfH7ScqcRy1+iQFpT/wxsNP887vV1JbI38UQgjhDEaDkTKDFz62Smy2tm/rGJUBFFRVNNvq\nB22qv4lhq3TaRJmLmlslLDYD/GjZS10+z7F9Bax9+Q9oXcINjz5OUGRU+we5mI+XJ1N/+QqbJryK\nl6rgJutzTJk6mIHDU7Fa88nd9yV/uvMBPnrhDepqZedn4Z7caRKA6PvqPLwxKhul5UVttvPwqN+y\nobq88oKK+rV6OjO1+WJks9kU0Gp26FYJCwOCCQjp2u6iZ06U8a/l/42tNper7volg5OTnRRc91NK\nMXH6zaj7N/ON71WMyV3DZR7/ZPo9c+gfEoWt7iT7v3mXF2+/k38/91eqy6vaP6kQvYSnpyeFhYWS\ntIhew8e3P1pDXSvrsZxj8fECDbUXDLyt37UZ6qor7R0mmrDZbKqgoCAAyGytjVsNuvUJHNCl48vP\nVvPOEy9SW5lF6rXzSJ7acgS9OwgLHcCAX73Lxv/8nSHpT5G48R7UkB+jblvE5r+8R0l5DT9s+Ter\ntqYROiSVKfNvI2pE7+9FEhe3yMhIcnNzKSgocHUoQjSqKS5CU8SpwtaTDq01ZWdL0WhOnz3TWF5d\nVwsFBegzCs+y2k49fn5+vslqtXZq1Vk3YwMy6+rq7mqtgdutw3Lh2g2Oqq228rfHXqUo90Nix17O\n7EcWt7oTpzs5W1pG+jvPMP7YGizUkBV6Nbbhs8j8v/+htNpEpeE0YMDTbwgJk6Yy4cYr8fT1dnXY\nopu54zosQvRG/2/lbdxa+iklD+0lqH/rH5pf/90q8oxF/Gbp7xrXyaqqrWHdtBT8TCamrOvcrtK9\n/W+5J7nXLaEu+PrdTRTlfkxoTBLXPPRgn0hWAAL8fLnyrmc4s2Azm/tfy/BTn5K88T5SUitInX8p\ng3zMBFb5UV16nB3/eYU/3fVT1iz+PVs+2EhNdYf20hJCiIuOLSYVD2Xlq41vttnO2+hFjcHKyWNH\nG8s8PcwUBRjwLJEJEc5wUSQsWmv2fPUJBqOFWx9fgtHkVnfCHDJo8BAmPfQ6pxZs4+vQecQUfcO4\n7Y+SGpND9Owohg42MaTIgG9dP4rydvP1m3/gxdt/yl8ffJwv//4xZwuctgO4EEL0GZdPuplKbcbw\nw+Y22/XrV7+/074tzYdglPtb8C3VaNnEtsv63ju3HUd251Fdms3glElYvPv27ZCowUOIWvQSp08/\nxfa1rzLwh7e4/NhL1HoZybriElRtAAP2ncVa4EeBnydn87PY/tFOtn/0CmbvCEJjkogZlUzCpNH4\nBPi6+ukIIYRLRQZHsckQz8jStm/pRI2IhS27yD/UfJue6v4BGG2V1B7MwJwwvjtD7fMuioTlu3+l\nAVYm3HStq0PpMcHBwUy+7VG07dfs3r6Rs9veYcip9aSQDsPgh9iBZJQPJORIBZbTgZz2D+IspeRm\nppGbmcbGvytMllD6hQ1lQEwMUYlxRCfHSRIjhLjo7O+fwMQz75BzbC/RUfb3BRo8YRhe35kpKb9g\nCvOACCCfk99/R5QkLF3SbsKilFoDXAOc0lon2alXwB+BWUAFcIfWekdD3YyGOiPwV6318obyQOAd\nIBrIAW7VWrc90b2TairrOLF/M17+4QyM6/yOme5KGQyMHDsFxk7BarWRtetbzmSux+f4t0zne3wT\nK6mxwZayUPLP+GLKN6FqIyn29adU13L6yFZOH/mWPRsazmcMwOITQsCASIIGRhAYEU7IoIEMiInA\n29+7z4wNEkKIc/zixsF377D12/eInrPEbhuvfp74Wz2poPmtH+/oRGA7x7N3IXM1u8aRHpbXgFXA\nG63UzwSGNXyNB14CxiuljMCfgKuAXGCbUupDrXUW8Bvgc631cqXUbxp+f7QrT6Q1O9J2YKs7ScKk\nn170b6ZGo4GE0ZfB6MsAqK6pZk/GNxTv/QLPgj2k9jtI1OAcbLb9HCj3Ir/EQkmRF7psADZCKLd4\nU2E2UG09ycmSQ5w8cMH6PsoTg8ETg8kTk9kLk8ULs5cPnj7eePr54dMvAL+gQHz69cfL1w9PX288\nfTyxeHti9rJg9jLLLtRCiF5n+mU3Urr5/2A51vbeTD7awmlTGTarFYPRCMDAxB9j4w3K8o62eaxo\nX7sJi9Z6o1Iquo0m1wFv6Pr50d8ppfoppcKp7z05qLU+BKCUeruhbVbD9ykNx78OfEk3JSzff/EZ\nYGDs7BndcXq3ZjFbSBx3BYy7orGssqKcY/t3UnEsE+/TOfiVHMW7PA+/mj1QU0pJpZUzFR6UlXlQ\nVRlKja0ftfhShwWrwUStEeqstdTUVFBVWg10dKCZgfoOOQP1Oa+h/mcUoEAB+tz3+m/1Gn5SqqFt\nk7LGn9uewu+8dLajZ3KfpQWEuBgF+AayyTiMhPJ9bbbz8fDGSgGH9+1jaGIiAKOikzjsB9bT3XIT\n4aLijDEsEcCxJr/nNpTZKz93A2+A1vpEw8/5QKuT25VSC4GFAIMGDepQYAXHiikt2EVIdDI+vXiv\noN7Ey9uHuFGXwajL7NbXVFdRfDqf0sLjVBSforayFFt1KbbqcmyVpdSUn6Gi5DQ1VRXUVddQV11N\nXY0Ra7UHVqsHtjoTWI1obcCmFVob0RiwodDaACh0Q3JR/zbe8F1rUIrGZYN0s2/nC7VuOEI3qbWf\nEDgvTXDkTBpnpkRCiJ51yD+eicXvcTT/IIPCYu22CQoJhYIjHNiW1ZiwRAYEkh4AAWdl5fGucvmg\nW621Vkq1+j++1no1sBrqF5vqyLm/e/8L0JWMvXZWF6MU55gtnoRGRBMaEe3qUEQbFr/zlqtDEKJP\nMQ8dA9vfY+u3/2TQjfZvCEQnj4DPt3Eq72Sz8hJ/E+HHZC2WrnLGgIE8aDaWKLKhrLVygJMNt41o\n+H7KCXE0Y62zcXjnRkxmP+InyMhsIYQQnTflx9dTpT0wHNnZapuBl0TiZ/OitLKiWXnlubVYLigX\nHeOMhOVDYL6qdylwtuF2zzZgmFJqiFLKDMxtaHvumNsbfr4d+MAJcTSTvfkQtZU/EDNmYuPgJyGE\nEKIzwgPD2WkYRlxp6+NYzL5m/G2eVKrm+wbVBAZiQFG5f3t3h9mntZuwKKXeAjYD8UqpXKXUz5VS\n9yql7m1o8glwCDgI/AW4H0BrXQf8AlgL7AXe1VrvaThmOXCVUuoAMLXhd6dK/08aoJlw4zXOPrUQ\nQoiL0AHfYYyw5lBUfLLVNl7agwpDHXV155MWQ1gkAEd2fdPtMfZljswSmtdOvQYWtVL3CfUJzYXl\nhUC3bZVcVlTF6SNb8QuKJriDA3WFEM11ZS0mIfoSW9RIjFkf8M3mf3DNTLtve3ibvbFpzZH9de5y\nKwAAIABJREFUBxiakACAb8xIYDMFBzKxv+yccESfXPRi28ffoW1nSLlquqtDEaIveA1oa12Apmsx\nLaR+LSYh+pxLx8/EqhXlP7R+a6dfYBAAh3ZkN5ZFJU6kzgBVx/NaO0w4oM8lLFpr9m76HGXwYNT0\nbuvEEeKiobXeCJxpo0njWkxa6++Ac2sxCdGnDB+cxAEVScTZg622iRgeA0BB7vnbRimD4zntDxSe\n7e4Q+7Q+l7Ac23uKyrN7GBg3ps9vdChEL9HaWkzNKKUWKqXSlVLpBQUFPRacEM601xJDUu1BbDar\n3fpBqTF4ag/Kyssby4K8/SjyV1iKZcfmruhzCcuWf68Dahh3/dWuDkUI0YTWerXWOlVrnRoSEuLq\ncITolDOBw+hHOTuyNtmt9+rvhZ/Nk0rdfKZQib8RnxKb3WOEY/pUwlJTVUfe3m8xewcyJCXF1eEI\ncbFoa80lIfqU0PixABzctb7VNt42M+WG5glLpb8nPhVgk7VYOq1PJSzfb8jCWnOU4T+6AiWb6AnR\nU1pbi0mIPmfy2FmUaC+887NabeNlsFBjsHI6//yfQW3/+u1hqva3vYGiaF2felfftfYzAMZdP9PF\nkQjRd3R2LSYh+iJ/H3++Nwwltrz1gbf+vgEAHNxxPqkxhA4EIG/35u4NsA9z+V5CzlKYV0rxyR30\nHzicgJBW91IUQnRQV9ZiEqIvOuQTw4TSjygrK8LXt3+L+tBBkZC9l+MHzo9F9x2cAGzl5A+ZDOvB\nWPuSPtPDsvWDTWArYcws6V0RQgjRfWrCh2NUmu/SP7RbHz0mHoNWFBedn8YcljABgIoTuT0SY1/U\nJxIWq9XGwW1fYjB6kjD5MleHI4QQog9LGHU5AEXZ39mt7x8TiL/2pqKuqrEsKTqRYm+wnSnqkRj7\noj6RsBzcdoyaimwGp0zAw2xxdThCCCH6sPHDx3NUh9Cv6Ae79UaTAV+bmQpV11gW4RfIGX8wna2y\ne4xoX59IWNI/XgdYufQG2ehQCCFE9zIajewzRTOsKqfVNl7aTKWhlprq+gRFKUWpnwHPUvsLzon2\nuX3CUn62mpOHt+DlH0b4sDhXhyOEEOIicMJ3ENGc5OSZ43brvc3eaAVHDpzvhanwM+NbqtE2WUCu\nM9w+YdmRloGuO8HIK66iftNYIYQQonupgfUfkNN3pNmtD+gfCMCRXQcay2oCfLHUKmynjnZ/gH2Q\nWycsWmv2fLkelIExs2RnZiGEED1j+MiJAJQe2mG3PmzoIABO551qLNOBwQCcyrQ/WFe0za0TluMH\nzlBetIvQISPxDujn6nCEEEJcJMbEjydPB9H/jP2Bt5GjYvDQxmabIFoi6ndyPpq1vUdi7GvcOmHZ\n+sGXoCsYe61sdCiEEKLnGI0m9pkGE1udY7feN9wHX+1JlbWmsSwwdjQAxcfsJzmibW6bsNRU1XFk\n99eYzL4MGzfO1eEIIYS4yOT6DGaI7QRnS860qDMYDHjbPKhU52cFDU2YQK0R6goKejLMPsNtE5as\nrw9irf6BYeMmYTT1mR0GhBBCuIm6AbEYlGbbzk/s1ns2TG2uq63fuTk+bBBn/MBQVNaTYfYZbpuw\n7Px0HWBj3PVyO0gIIUTPG5pwKQCFB9Pt1nuZvbApzdH99Rslmk0mzvopzKU1dtuLtrllwnLmRBlF\nx9PxCx5McNRgV4cjhBDiIjQh8cec1P3wL7S/c3NA//qNEY98f76+zM+IT6msw9IZbpmwbP9kK9pW\nyCXTZ7g6FCGEEBcpi9mLvcbBDKnMsVsfNiQKgILck41llf4W/MpA10gvS0e5XcJis9rI/vZLlMFE\n8tQrXB2OEEKIi1iuVyQxtuNUVle0qBs0ahhGbaCs7PyYldp+/hg0VB7O6skw+wS3S1gO7cqnunwP\nkSNSsXj7uDocIYQQF7GaoMGYlZUde75qUecX4Yuf9qSyydRmQ0g4AMe+39xjMfYVbpewbPvwc9DV\njL1OBtsKIYRwreCYZABy929pUVc/tdlMZZNdm30iYgE49UNmzwTYhziUsCilZiilspVSB5VSv7FT\n318p9S+l1PdKqa1KqaQmdQ8qpTKVUnuUUg81KV+qlMpTSmU0fM1qLw6bVZN/8DvM3v2JHpni6HMU\nQgghusX4lMup1iaMJ+0PvPXSHlQYarFa65OWkOGpAJQfl/2EOqrdhEUpZQT+BMwEEoB5SqmEC5o9\nBmRorZOB+cAfG45NAu4GxgEpwDVKqdgmxz2vtR7V8GV/InsTlaWV2GqPkDDxSpTB7TqHhBBC9DED\n+ofxgxrIgDL7CYi3hzc2pcnLyQEgLjaVSjNYzxT2YJR9gyPv+uOAg1rrQ1rrGuBt4LoL2iQAXwBo\nrfcB0UqpAcAIYIvWukJrXQd8BdzY2WArSkoASL1GZgcJIYToHQ55RBFbe8xunZ+fP3B+1+bBgQM4\n4wuGs+V224vWOZKwRABNr0RuQ1lTu2hIRJRS44DBQCSQCUxUSgUppbyBWUBUk+MeaLiNtEYp1d/e\ngyulFiql0pVS6ba6SgIj4wkIDXPoyQkhhBDd7ZRfJOGc4WRhy6QlOKJ+kO2po/VTmw0GA6V+Cs/S\n2h6NsS9w1n2V5UA/pVQG8ACwE7BqrfcCK4DPgDQgAzi3scJLQAwwCjgB/I+9E2utV2utU7XWqWBl\nzKyZTgpZCCGE6DoVWr8L885dn7eoi0yJQWkoPVvaWFbua8S7TPdYfH2FIwlLHs17RSIbyhpprUu0\n1ndqrUdRP4YlBDjUUPeq1nqM1noSUATsbyg/qbW2aq1twF+ov/XUNqUYcdllDoQshBBC9IyY4WMB\nKD68q0Vd0NAQfLQnVbXVjWXVfl74loOuqW7RXrTOkYRlGzBMKTVEKWUG5gIfNm2glOrXUAdwF7BR\na13SUBfa8H0Q9beN3mz4PbzJKW6g/vZRm7x8/fCweDoQshBCCNEzxo+YQKH2w7foUIs6o9mIt82D\nKs5Pba5rWDyu4tDungzT7bW7zbHWuk4p9QtgLWAE1mit9yil7m2of5n6wbWvK6U0sAf4eZNT/FMp\nFQTUAou01sUN5X9QSo0CNJAD3NNeLP4hoQ4/MSGEEKIneFq82WmIIqrC/sBbT+1BibGy8ff6xePy\nOLJ7CwkN05xF+9pNWAAaphx/ckHZy01+3gzEtXLsxFbKf+Z4mEIIIUTvdcQSyeyqr9A2K8pgbFbn\nqcxUGeqoLC/Hy8cH78hYIJ1ThzK5cI0Q0TpZzEQIIYToopJ+UXhTTfYPO1rUeVm8ADiyt35qc+jw\nVL5OUJxSxS3aitZJwiKEEEJ0kW/kMAD2Zn3dos4/MBCA3KwcAIbHjeOF64wcCqls0Va0ThIWIYQQ\noouSEyYAUH0iu0Vd2JBIAM6crF/dNiIgCItNU1RzpucC7AMkYRFCCCG6aMTgkRzXgQScbTnwNjJl\nKEZtoLysDKhfPC7YZqTMKKvddoQkLEIIIUQXGY1GDhkiiKrOa1HnF+6Lj7ZQaa1pLBtm8cdisPVk\niG7PoVlCQgghhGhbnmc4oyu/wmazYmgyU8hgMOBt86BCnV8o7sWffAkXzCYSbZMeFiGEEMIJSgMi\n6mcK5WS0qPPUHlQazi8eJ8lKx0nCIoQQQjiBZ3gsAPv3ftOyzmChVlkpPiMDbTtLEhYhhBDCCeLj\n61etrczb36LO28sHgCO7W84iEo6RhEUIIYRwgpShoynQAfidPdqirl9wEADH99tfvl+0TxIWIYQQ\nwgnMHmYOGiKIqGo5U2jgsGgAik7LLaHOkoRFCCGEcJJcczgx1jy0rfmU5bDEKDy0kcpKWd22syRh\nEUIIIZyk2H8g/lSSe+JAs3KfEG98tIUqW62LInN/krAIIYQQTmIaMASAPXs2NitXSuFpM1GtrK4I\nq0+QhEUIIYRwkiGxowAoOZbVos6iPahSdS3KhWMkYRFCtEkpNUMpla2UOqiU+o2d+v5KqX8ppb5X\nSm1VSiW5Ik4heoOx8eMo0V5YilvOBvI0mKkxWCktLnJBZO5PEhYhRKuUUkbgT8BMIAGYp5RKuKDZ\nY0CG1joZmA/8sWejFKL38PHy47AKJ6Qyv0Wdt5c3ADm7D/Z0WH2CJCxCiLaMAw5qrQ9prWuAt4Hr\nLmiTAHwBoLXeB0QrpQb0bJhC9B65HgMYXHeiRbl/YCAAJw7m9nRIfYIkLEKItkQATfu2cxvKmtoF\n3AiglBoHDAYiLzyRUmqhUipdKZVeUFDQTeEK4XqFXmFEcJqzZWeblYdG1//pFBfIWiydIQmLEKKr\nlgP9lFIZwAPATqDFVAit9WqtdarWOjUkJKSnYxSix9T1r8/XM/c331MoKjkGpRUVFRWuCMvtScIi\nhGhLHhDV5PfIhrJGWusSrfWdWutR1I9hCQEO9VyIQvQu/SPiAMg7tLNZuW+YLz7aTHVdtSvCcnuS\nsAgh2rINGKaUGqKUMgNzgQ+bNlBK9WuoA7gL2Ki1LunhOIXoNZISLgXAeupIs3KDwYCX9qCqZQek\ncIDJ1QEIIXovrXWdUuoXwFrACKzRWu9RSt3bUP8yMAJ4XSmlgT3Az10WsBC9QEx4LCd0IAGlx1vU\nWWwmyozSw9IZkrAIIdqktf4E+OSCspeb/LwZiOvpuITorYxGAzmGMAZWt5wpZDF4UKVqqa2pwcNs\ntnO0aI3cEhJCCCGc7Lh5ANG2Ey02QfQye6MVHMv+wUWRuS+HEpaurHSplHpQKZWplNqjlHqoSXmg\nUmqdUupAw/f+znlKQgghhGud9Q2nH+XkFzZf8dbX3x+AvD05LojKvbWbsHRlpcuGxOVu6hefSgGu\nUUrFNhzzG+BzrfUw4POG34UQQgi3p4IHAZC5d1Oz8uCI+jUVC/NlLaKOcqSHpSsrXY4AtmitK7TW\ndcBXNCww1XCO1xt+fh24vkvPRAghhOglwgePAODM0eabIEYmDgWgrKSsx2Nyd44kLF1Z6TITmKiU\nClJKeQOzOL+mwwCt9bkRSfmA3aW8ZXVMIYQQ7mbU8AnUaCOmwqPNykNiQ/HUHlTWykyhjnLWoFu7\nK11qrfcCK4DPgDQgA/srYGpA2zuxrI4phBDC3YQFDuAoAwisaD5TyOhhxNtmplrXuigy9+XItGaH\nVroE7gRQSingMA0rXWqtXwVebah7hvoeGoCTSqlwrfUJpVQ4cKoLz0MIIYToVY6Ywoiqablrs6c2\nUaIqXRCRe3Okh6VLK10qpUIbvg+i/rbRmw3tPgRub/j5duCDrjwRIYQQojc5aRnAYFs+2lrXrNyi\nPag01GG7YMqzaFu7PSxOWOnyn0qpIKAWWKS1Lm4oXw68q5T6OXAEuLUzT6C2tpbc3Fyqqqo6c7gQ\nfdK6detG7tq1K6eDh9mAzLq6urvGjBkjPZ5CdFGFfxiWijoOHN3DsCEpjeUWkxmrslF4Ip+QiIEu\njNC9OLTSbVdWutRaT2ylvBC40uFIW5Gbm4ufnx/R0dHU340SQlit1rqkpKTTHTnGZrOpgoKChPz8\n/L8Cs7spNCEuGuaQwZAP+/dvaZaw+Pj4QgUc3f2DJCwd4PYr3VZVVREUFCTJihBdZDAYdEhIyFkg\nqd3GQoh2DY5OBKAk/2Cz8oDgIABOHW05vkW0zu0TFkCSFSGcxGAwaPrI/wtCuNqo4eOp1h54FOU2\nKw+LjQSgpLDY3mGiFfIfkxBCCNENAnwCOEYI/SuaDwmLGjmEIJsvVLZY5UO0QXZrFkIIIbpJrjGU\ngbXNExav/t7MqkzhFLIYakdID4uT5OTkMGvWLOLj44mLi+PZZ591aTxpaWnEx8cTGxvL8uXLW223\nYMECQkNDSUpybNjCsmXLSExMJDk5mVGjRrFlyxZnhdxrdPe1dOTaOHr9mlJK8cgjjzT+vmTJkgGL\nFy+WEX1CuNApSyiDbPktpjBXeVjw8h/ioqjckyQsTmCz2bjpppu49957yc7OZvfu3aSnp7N69WqX\nxGO1Wlm0aBGffvopWVlZvPXWW2RlZdlte8cdd5CWlubQeTdv3szHH3/Mjh07+P7771m/fj1RUVHt\nH+hGuvtaOnJtOnL9mrJYLLz//vucPt2hyUFCiG5U7huKj6om58T+ZuWm2cPwu3qoi6JyT5KwOMHa\ntWuJjo5m9uz6maAWi4VVq1axcuVKl8SzdetWYmNjiYmJwWw2M3fuXD74wP66fJMmTSIwMNCh8544\ncYLg4GAsFgsAwcHBDBzYtz7Ad/e1dOTadOT6NWUymVi4cCHPP/+8U2IVQnSdMbj+Q92+A9ualcdf\nGs7Q0aGuCMlt9akxLE98tIes4yVOPWfCQH9+f21im2327t1LSkpKs7Lw8HBKSkqoqanBbDa3ciRM\nnDiR0tLSFuUrV65k6tSpnYo5Ly+vWc9HZGSkU27dTJs2jSeffJK4uDimTp3KnDlzmDx5cpfPa0/+\nM89QvXefU89pGTGcsMcea7NNd19LR65NV67fokWLSE5O5pprrnGovRCie4VFxcNeOJub7epQ3F6f\nSlhcxWg0UlbWfKtwrTUVFRWYTCYWLFjAmjVr7B67adOmDj3W1KlTyc9vOXd/2bJlXHfddR06V0f5\n+vqyfft2Nm3axIYNG5gzZw7Lly/njjvu6NbH7Uk9eS27g7+/P/Pnz+dvf/ubR3BwsKvDEeKilxQ3\nHutahSrKa7+xaFOfSlja6wnpLlOmTOG2225jxYoVjWvCrFu3jtGjR1NVVUVAQAAbNmwgLS2NJ554\nAk9Pz8ZjO9rDsn79+nbjiYiI4NixY42/5+bmEhER0Zmn1oLRaGTKlClMmTKFkSNH8vrrr3dLwtJe\nT0h36e5r6ci16er1e+ihh0hKSjLNmzdPbvkK4WIDgweSSxAB5SddHYrb61MJi6ukpKRwySWXsGTJ\nEp566ilOnjzJ4sWLWb16NTt27GDnzp3Ex8ezYsWKFsd2x6fysWPHcuDAAQ4fPkxERARvv/02b775\nZvsHNnHllVfyxhtvNHujzM7OxmAwMGzYMAAyMjIYPHiwU2N3te6+lo5cm/ba2Ls2TQUGBnLVVVfV\nvfnmm8Hz5s0r7OA/gRDCyY4aBhBeIwlLV8knMCdYvnw56enpPP3003zxxRfcd999HDlyhPvvv59t\n27Yxfvx4fHx8eiwek8nEqlWrmD59OiNGjODWW28lMfF879OsWbM4fvw4APPmzWPChAlkZ2cTGRnJ\nq6++is1m4+DBgy0G45aVlXH77beTkJBAcnIyWVlZLF26tMeeV0/o7mvZ1rU5d13aatPatbnQnXfe\nWVtcXCwfSIToBU6aQ4iyScLSVUpr7eoYHJaamqrT09Oble3du5cRI0a4KKL23X333bzyyis8/vjj\nzJgxg4kT7e4F2atkZmayZs0annvuOVeH0qv0hmvp6LXJzMysSEpK2tuZx9i1a1dwSkpKdGeOdZS9\nv2Uh+qrXXribO868y+mHsgnuF9ahY5VS27XWqd0UmluRhEWIPkgSFiF6jzV/W8qCH57nqxmvMfnS\nGzp0rCQs58ktISGEEKIbBYbHAHDyaPsLQIrWScIihBBCdKMRcWMAsBYea6elaIskLEIIIUQ3GhY5\nnAIdgF/pcVeH4tYkYRFCCCG6kcFg5KgKJbRadmfuCklYhBBCiG523COUSKtMbe4KSViEEEKIblbk\nFUqYPkNlZVn7jYVdkrAIIYQQ3aym3wAMSpN5cFv7jYVdkrAIIYQQ3cw3pH4bk9yc710cifuShEUI\nIYToZtHR9dtrVJ7KcW0gbkwSFifJyclh1qxZxMfHExcXx7PPPuvSeNLS0oiPjyc2Npbly5e32m7B\nggWEhoaSlJTk0HmVUjzyyCONv69cubLP7SfU3dfSkWvT1nWJjo5m5MiRjBo1itTU9hfAfPTRR8Ni\nY2MT4+LiEoYPH57wxRdf9NzGVkIIAJKHpVKlPfAokYG3nSUJixPYbDZuuukm7r33XrKzs9m9ezfp\n6emsXr3aJfFYrVYWLVrEp59+SlZWFm+99RZZWfZXWLzjjjtIS0tz+NwWi4X333+f06dPOyvcXqW7\nr6Wj16a967JhwwYyMjJob3n79evX+6xdu7bf7t27s/bv35+1YcOG/TExMTVdfiJCiA7x9vQhlxD6\nV55ydShuy6GERSk1QymVrZQ6qJT6jZ36/kqpfymlvldKbVVKJTWpe1gptUcplamUeksp5dlQvlQp\nlaeUymj4muW8p9Wz1q5dS3R0NLNnzwbq39RXrVrFypUrXRLP1q1biY2NJSYmBrPZzNy5c/nggw/s\ntp00aVK7O/82ZTKZWLhwIc8//7yzwu1VuvtaOnptOnpdWpOXl+cRGBhY5+XlpQHCw8ProqOja7t8\nYiFEhx03hhBWK2uxdFa7288rpYzAn4CrgFxgm1LqQ61104+FjwEZWusblFLDG9pfqZSKAH4JJGit\nK5VS7wJzgdcajntea+28d/VPfwP5u512OgDCRsLM1m+pQP0GjCkpKc3KwsPDKSkpoaamBrPZ3Oqx\nEydOpLS0tEX5ypUrmTp1aqdCzsvLIyoqqvH3yMhItmzZ0qlz2bNo0SKSk5P5r//6L6ed80Kb3t3P\n6WPOnf4XHOXLxFvj2mzT3dfSGddGKcXUqVMxGo3cc889LFy4sNW2119/fcmzzz47MDo6Oumyyy4r\nmTdv3pmrr75a5lUK4QIF5mCSqw6itUYp5epw3E67CQswDjiotT4EoJR6G7gOaJqwJADLAbTW+5RS\n0UqpAU0ew0spVQt4A31ubWKj0UhZWfP3AK01FRUVmEwmFixYwJo1a+weu2nTpg491tSpU8nPz29R\nvmzZMq677roOnauz/P39mT9/Pi+88AJeXl498pg9pSevZWd9/fXXREREcOrUKa666iqGDx/OpEmT\n7LYNCAiwZWZmZqWlpfl9/vnnfrfffvvQJUuW5P7yl78s7JFghRCNyryD6VdVzokzxwkPinB1OG7H\nkYQlAmi6Y1MuMP6CNruAG4FNSqlxwGAgUmu9XSm1EjgKVAKfaa0/a3LcA0qp+UA68IjWuujCB1dK\nLQQWAgwaNKjtSNvpCekuU6ZM4bbbbmPFihWNWfO6desYPXo0VVVVBAQEsGHDBtLS0njiiSfw9PRs\nPLajPSzr169vN56IiAiOHTt/yXJzc4mIcO4fx0MPPcTo0aO58847nXrec9rrCeku3X0tnXFtzrUP\nDQ3lhhtuYOvWra0mLFB/G++aa64pveaaa0qTk5Mr//a3vwVJwiKEC/QfCGdg34EthAfd6Opo3I6z\nBt0uB/oppTKAB4CdgFUp1Z/63pghwEDARyn104ZjXgJigFHACeB/7J1Ya71aa52qtU4NCQlxUrjO\nlZKSwiWXXMKSJUsAOHnyJIsXL+aZZ55hx44d7Ny5k+zsbFasWNHsDQ7qP5VnZGS0+Ors7SCAsWPH\ncuDAAQ4fPkxNTQ1vv/1245gMR1155ZXk5eW1Wh8YGMitt97Kq6++2uk4e6PuvpZdvTbl5eWNSVF5\neTmfffZZ40wie9ds165dlt27d1vO/b5z506vyMhIGXQrhAsEhA0B4FRutosjcU+OJCx5QFST3yMb\nyhpprUu01ndqrUcB84EQ4BAwFTistS7QWtcC7wM/ajjmpNbaqrW2AX+h/taTW1q+fDnp6ek8/fTT\nfPHFF9x3330cOXKE+++/n23btjF+/Hh8fHpuJqnJZGLVqlVMnz6dESNGcOutt5KYmNhYP2vWLI4f\nr78zN2/ePCZMmEB2djaRkZG8+uqr2Gw2Dh482O6gz0ceeaTPzRbq7mvZ1rVp77pAfQJ12WWXkZKS\nwrhx47j66quZMWNGq9espKTEOH/+/CFDhw5NjIuLS9i3b5/XihUrOnRb1oFB9wFKqY+UUrsaBth3\nT7ebEG5u2NBLAKgrbP3DoGiD1rrNL+pvGx2ivpfETP3tn8QL2vQDzA0/3w280fDzeGAP9WNXFPA6\n8EBDXXiT4x8G3m4vljFjxugLZWVltSjrTe666y5ttVr1Y489pjdu3OjqcByye/du/fDDD7s6jF6n\nN1/LC6/Z7t27y7XW6Z35ysjIyNHn/zaNwA/U94ae+/tP0M3//h8DVjT8HAKcOff/QWtf9v6Whejr\namtr9dklA/Q/V97s8DFAum7nvfFi+Wp3DIvWuk4p9QtgbcN/Xmu01nuUUvc21L8MjABeV0rphgTl\n5w11W5RS/wB2AHXU3yo6t6DFH5RSowAN5AD3OJJguZu//OUvQP2gWHeRlJTEc8895+owep3efC27\n8Zo5MuheA36qftCPL/UJS113BCOEOzOZTOSpEIKqZGpzZzgy6Bat9SfAJxeUvdzk582A3VGSWuvf\nA7+3U/6zDkUqhHAFRwbdrwI+pH4GoB8wR9ff6m2mQwPoheijThiDiayTxeM6Q1a6FUJ01XQgg/qB\n9aOAVUop/wsbaTcYQC9EdzttCSHSVoC2tcjpRTskYRFCtKXdQffAncD7DbfcDwKHgeE9FJ8QbqXC\nNwRvVU1O/gFXh+J2JGERQrRlGzBMKTVEKWWmfqXqDy9ocxS4EqBhwch46gfqCyEuoALr11Haf6Dt\nfcBESw6NYRFCXJwcHHT/FPCaUmo39bMBH9Va96357kI4SXD4UNgHZ04cdHUobkcSFiFEmxwYdH8c\nmNbTcQnhjhKGpcIG0Gf63C413U5uCQkhhBA9ZHDYEAq1H75lJ10dituRhEUIIYToIQaDgVwVQnCN\nrMXSUZKwCCGEED0o3yOE8DoZ5tVRkrA4SU5ODrNmzSI+Pp64uDieffZZp54/LS2N+Ph4YmNjWb7c\n/q7UjrS50LJly0hMTCQ5OZlRo0axZcsWZ4btlnrDtVywYAGhoaGNGxs2FR0dzciRIxk1ahSpqant\nPp5Saszdd98dee73JUuWDFi8ePHALjwFIUQXnLEEM1Cfpq6u1tWhuBVJWJzAZrNx0003ce+995Kd\nnc3u3btJT09n9erV7R/sAKvVyqJFi/j000/JysrirbfeIisrq8NtLrR582Y+/vhjduwg6I1NAAAK\n40lEQVTYwffff8/69euJiopq85i+rjdcS4A77riDtLS0Vs+zYcMGMjIySE9vf2qk2WzWn3zySf8T\nJ07IIHsheoEqv1Asqo4DR3a5OhS3IgmLE6xdu5bo6Ghmz54NgMViYdWqVaxcudIp59+6dSuxsbHE\nxMRgNpuZO3cuH3zwQYfbXOjEiRMEBwdjsVgACA4OZuDAi/uDd2+4lgCTJk1qd7dsRxmNRj1//vyC\nZ555ZoBTTiiE6BJzUH2H5w+HJGHpiD71iWvF1hXsO7PPqeccHjicR8c92mabvXv3kpKS0qwsPDyc\nkpISampqMJvNrR47ceJESktLW5SvXLmSqVOnApCXl9es5yMyMrLFrRtH2lxo2rRpPPnkk8TFxTF1\n6lTmzJnD5MmT2zymp2x4bTWnjjh37bHQwTFcfsfCNtv0hmvZHqUUU6dOxWg0cs8997BwYdvPCeDX\nv/71qZEjRyYuXbo0v0MPJoRwugGR8ZAJJfmyvmJH9KmExVWMRiNlZWXNyrTWVFRUYDKZWLBgAWvW\nrLF77KZNm3oiRLt8fX3Zvn07mzZtYsOGDcyZM4fly5dzxx13uCwmV3OHa/n1118TERHBqVOnuOqq\nqxg+fDiTJk1q85jAwEDbLbfcUrh8+fJQLy8v2cRECBcaGT8e0sBUetbVobiVPpWwtNcT0l2mTJnC\n/2/v/mOrOus4jr8/oZgqicicNEu7ACaLtgMqhB+ZjqQJRurmfi8IolsMsoxFTdwfZji3bMkyIZol\nToxjCpZoGC7LXKbTCRlb3B9GfhYt1AoZwXUM6MjQrJMg9OsfvZTu9se9t/f23nNPP6/kpj3nee7t\n9/s8h9Mvp/eeZ9WqVWzYsAFJAOzcuZP58+dz7tw5pk6dyquvvsrLL7/Mo48+Sm1t7cBz8/lfeX19\nPW++eXnB3O7uburr6z/QP58+w5k0aRItLS20tLQwZ84ctm7dmoiCJdeVkPGShLnM5VL/6dOnc9tt\nt7F79+6cBQvAunXrTs2fP79pxYoV/niCWQXVTZvOqZjGlF7fi6UQfg9LCTQ3NzNv3jwefvhhAE6d\nOsX999/P448/zv79+zlw4ABdXV1s2LDhA7/goP9/5e3t7UMel37BASxcuJAjR45w7Ngxzp8/z/bt\n2wfeY5Fvn6VLl/LWWx9cs66rq4sjRy4vwNXe3s6MGTNKNi7VKAlzOZre3t6Boqi3t5cdO3YMfJJo\nuDkerK6u7uJNN9307rZt267M+wea2bg4XTOdhv+5YCmEC5YSWL9+PXv37uWxxx5j165drF27luPH\nj3PfffexZ88eFi9ezJQpU8b8+jU1NWzcuJFly5bR2NjI8uXLufbaawG44YYbOHHixKh9+vr6OHr0\n6JA3cb733nvcfffdNDU1MXfuXA4fPswjjzwy5jjTIAlzCbBy5Uquu+46urq6aGhoYPPmzUB/AXX9\n9dfT3NzMokWLuPHGG2ltbR1xjrM9+OCDJ8+ePZuqK6tm1ejqmZ+mqfZspcOoKoqISseQtwULFkT2\nxzg7OztpbGysUES5rVmzhk2bNvHQQw/R2trKkiVLyh5DR0cHW7Zs4Yknnij7z06TJMzlSLLnuKOj\n4/3Zs2d3juW1Dh48eGVzc/PMUsaXbbh/y2YTyrHXofc0zL5j1G6S9kVE7hsuTQAuWMxSyAWLWTq4\nYLnMfxIyMzOzxHPBYmZmZonngsXMzMwSLxUFSzW9D8csyfr6+gT4xnJmljhVX7DU1tZy5swZFy1m\nRerr61NPT89UoKPSsZiZZav6+zE0NDTQ3d1NT09PpUMxS4yTJ0/WXLx4sdAbxPUBHRcuXPjGeMRk\nZlaMqi9YJk+ezKxZsyodhlmiNDU1/d0fhTSzNMnrT0KSWiV1SToq6YFh2qdJ+q2kv0naLWn2oLbv\nSDokqUPSM5JqM/uvkLRT0pHM12mlS8vMzMzSJGfBImkS8FPgi0ATsFJSU1a37wHtETEXuAv4cea5\n9cC3gQURMRuYBKzIPOcB4JWIuAZ4JbNtZmZmNkQ+V1gWAUcj4o2IOA9sB27J6tME7AKIiH8AMyXV\nZdpqgA9LqgE+ApzI7L8F2Jr5fitw65izMDMzs1TL5z0s9cCbg7a7gcVZfQ4CtwOvS1oEzAAaImKf\npB8B/wL+C+yIiB2Z59RFxNuZ708CdQxD0j3APZnNc5IO5RHzSKYC/y5x/9H6FNqWz74rgXdyxFRK\nhY5Zsa9R7JiP1j6RxvyaUgQyXvbt2/eOpON5di/mmMg1v9ntw7Vd+lrMcTCeOWRv5/q+mvMYvG88\n8yjk3J3v9ljnYkaO9okjIkZ9AHcCvxi0/TVgY1afjwK/BNqBXwF7gM8A0+i/8vIJYDLwAvDVzHPO\nZr3Gu3nE8nSuPqV8fj79R+tTaFs++4C9xYzBeI9Zsa9R7JiP1u4xr85HMcdErvkdZq6HtA36Oubj\nYDxzGC2nEfKp2jyy9o1bHoWcu/PdLvVcTMRHPldY3gKuHrTdkNk3ICL+A3wdQJKAY8AbwDLgWET0\nZNqeBz4L/Bo4JemqiHhb0lXA6Txi+V0efUr5/Hz6j9an0LZ895VTKX5+Ia9R7JiP1u4xr07FHBO5\n5je7fbi2cs1HMcftSDmNlutYVDqPUh3XYz2HDNeW73ap52LCyblac+a9J/8EltJfqOwBvhIRhwb1\n+RjwfkScl7QGWBIRd0laDGwBFtL/J6E2+ivKn0j6IXAmItZnPnl0RUR8t/QppoukveGPq5aVx9wg\nPceB80iONORQTjmvsETEBUnfBP5E/6d8tkTEIUn3ZtqfAhqBrZICOASszrT9VdJzwH7gAnAAeDrz\n0uuBZyWtBo4Dy0uaWXo9nbuLlZjH3CA9x4HzSI405FA2Oa+wmJmZmVVa1a8lZGZmZunngsXMzMwS\nzwWLmZmZJZ4LFjMzM0s8FyxVTtInJW3OfBrLykDSrZJ+Luk3kr5Q6Xis8iQ1SnpK0nOS1lY6nrFK\nw7FdzedESVMkbc3MwapKx5M0LlgSSNIWSacldWTtH7JqdvSv8bS6MpGmR4Fj/kJErAHuBb5ciXit\ndAqZ+5FERGdE3Ev/7Rk+N57xjqREeVT02C5RDok6JxaY0+3Ac5k5uLnswSacC5ZkagNaB+/Ic9Vs\nG7s2Ch/z72farbq1kefcS5oj6fdZj+mZ59wMvAT8obzhD2ijBHlkVOrYbqN0OSRFG/mfWxq4vHbf\nxTLGWBXyuTW/lVlE/FnSzKzdA6tmA0i6tGr24fJGl06FjLmkTvpvfPjHiNhf1kCt5AqZ+4j4AfCl\nEV7nReBFSS8B28Yv4uGVIg9JooLHdqnmIkkKPJ9301+0tOMLCkN4QKrHcKtm10v6uKSngHmS1lUm\ntNQadsyBbwGfB+68dMdnS52R5n5YklokPSlpE5W7wjKcgvIgmcd2oXNRDefEkXJ6HrhD0s/wekND\n+ApLlYuIM/T/vdnKJCKeBJ6sdByWHBHxGvBahcMoWhqO7Wo+J0ZEL5mFhG0oX2GpHjlXzbaS85hP\nXGmZ+zTkkYYcsqUxp3HngqV67AGukTRL0oeAFcCLFY4p7TzmE1da5j4NeaQhh2xpzGncuWBJIEnP\nAH8BPiWpW9LqiLgAXFo1uxN4NiIOVTLONPGYT1xpmfs05JGGHLKlMadK8WrNZmZmlni+wmJmZmaJ\n54LFzMzMEs8Fi5mZmSWeCxYzMzNLPBcsZmZmlnguWMzMzCzxXLCYmZlZ4rlgMTMzs8T7PwcD+a5C\nIUkrAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#kminclosed = sqrt(-8*Omega_k)*(70/3e5) Mpc^(-1)\n", - "\n", - "k_out = [1e-3] #[1e-4, 1e-3, 1e-2]\n", - "#models = ['PPF1','PPF2','FLD1']\n", - "models = ['PPF1','FLD1']\n", - "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", - "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", - "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", - "omega_b = 0.022\n", - "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", - "##Omega_b = 0.05\n", - "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64}\n", - "\n", - "fig, axes = plt.subplots(1,2,figsize=(8,5))\n", - "for Omega_K in [-0.1, 0.0, 0.15]:\n", - " for gauge in ['Synchronous','Newtonian']:\n", - " cosmo = {}\n", - " for M in models:\n", - " use_ppf = 'yes'\n", - " if 'FLD' in M:\n", - " use_ppf = 'no'\n", - " \n", - " cosmo[M] = Class()\n", - " \n", - " cosmo[M].set({'output':'tCl Mpk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", - " 'h':h[M],\n", - " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],'Omega_k':Omega_K,\n", - " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", - " 'cs2_fld':1.,\n", - " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", - " 'use_ppf':use_ppf,'hyper_sampling_curved_low_nu':10.0})\n", - " cosmo[M].compute()\n", - " \n", - " label = r'$\\Omega_k='+str(Omega_K)+'$, '+gauge[0]\n", - " clfld = cosmo['FLD1'].raw_cl()\n", - " clppf = cosmo['PPF1'].raw_cl()\n", - " \n", - " axes[0].semilogx(clfld['ell'][2:],clppf['tt'][2:]/clfld['tt'][2:],label=label)\n", - " \n", - " ptfld = cosmo['FLD1'].get_perturbations()['scalar']\n", - " ptppf = cosmo['PPF1'].get_perturbations()['scalar']\n", - " for i,k in enumerate(k_out):\n", - " ptkfld = ptfld[i]\n", - " a = ptkfld['a']\n", - " phi_plus_phi_fld = ptkfld['phi']+ptkfld['psi']\n", - " ptkppf = ptppf[i]\n", - " phi_plus_phi_ppf = ptkppf['phi']+ptkppf['psi']\n", - " axes[1].semilogx(ptkppf['a'],phi_plus_phi_ppf,label=label+'_ppf')\n", - " axes[1].semilogx(ptkfld['a'],phi_plus_phi_fld,label=label+'_fld')\n", - " print len(ptkppf['a']),len(ptkfld['a'])\n", - " \n", - " axes[0].legend(loc='lower left',ncol=2)\n", - " axes[0].set_xlim([2,300])\n", - " axes[0].set_ylim([0.98,1.02])\n", - "\n", - " axes[1].legend(loc='upper left',ncol=2)\n", - " axes[1].set_xlim([1e-2,1])\n", - " axes[1].autoscale()\n", - "# axes[1].set_ylim([0.0,0.2])\n", - " \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIh7P8BJJGMD7Xz0moAAAAASUVORK5CYII=\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njwnRq3w/AAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA9bp9lYmHoCEAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAE4CAYAAACzNTH2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEgY+/95f/Y1B7A/iQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "colours = ['r','k','g','m']\n", - "\n", - "k_out = [1e-1] #[1e-4, 1e-3, 1e-2]\n", - "#models = ['PPF1','PPF2','FLD1']\n", - "models = ['PPF1','FLD1']\n", - "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", - "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", - "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", - "omega_b = 0.022\n", - "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", - "##Omega_b = 0.05\n", - "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64}\n", - "\n", - "\n", - "for Omega_K in [-0.1, 0.0, 0.15]:\n", - " for ppfgauge in ['Synchronous','Newtonian']:\n", - " cosmo = {}\n", - " for M in models:\n", - " use_ppf = 'yes'\n", - " gauge = ppfgauge\n", - " if 'FLD' in M:\n", - " use_ppf = 'no'\n", - " \n", - " cosmo[M] = Class()\n", - " \n", - " cosmo[M].set({'output':'tCl Mpk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", - " 'h':h[M],\n", - " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],'Omega_k':Omega_K,\n", - " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", - " 'cs2_fld':1.,\n", - " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", - " 'use_ppf':use_ppf,'hyper_sampling_curved_low_nu':6.1})\n", - " cosmo[M].compute()\n", - " \n", - " fig, axes = plt.subplots(1,2,figsize=(8,5))\n", - " for j,M in enumerate(models):\n", - " cl = cosmo[M].raw_cl()\n", - " l = cl['ell']\n", - " axes[0].loglog(l,cl['tt']*l*(l+1)/(2.*np.pi),label=M,color=colours[j])\n", - " \n", - " csm = cosmo[M]\n", - " pt = csm.get_perturbations()\n", - " pts = pt['scalar']\n", - " for i,k in enumerate(k_out):\n", - " ptk = pts[i]\n", - " a = ptk['a']\n", - " phi = ptk['phi']\n", - " psi = ptk['psi']\n", - " if 'FLD' in M:\n", - " ls = ':'\n", - " lw=5\n", - " else:\n", - " ls = '-'\n", - " lw=1\n", - " axes[1].semilogx(a,0.5*(phi+psi),label=M+' '+'$k='+str(k)+'Mpc^{-1}$',ls=ls,lw=lw)\n", - "\n", - " axes[0].legend(loc='upper left')\n", - " axes[0].set_xlim([2,300])\n", - " axes[0].set_ylim([6e-11,1e-9])\n", - "\n", - " axes[1].legend(loc='lower left')\n", - " axes[1].set_xlim([1e-2,1])\n", - " axes[1].set_ylim([0.3,0.63])\n", - " \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.104976\n", - "0.120376\n" - ] - } - ], - "source": [ - "print 0.31*0.64**2-0.022\n", - "print 0.26*0.74**2-0.022" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/check_PPF_approx.ipynb b/notebooks/check_PPF_approx.ipynb new file mode 100644 index 00000000..b4d67566 --- /dev/null +++ b/notebooks/check_PPF_approx.ipynb @@ -0,0 +1,289 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from classy import Class" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "k_out = [5e-5, 5e-4, 5e-3]\n", + "models = ['PPF1','PPF2','FLD1','FLD1S']\n", + "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", + "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", + "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", + "omega_b = 0.022\n", + "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", + "##Omega_b = 0.05\n", + "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64,'FLD1S':0.64}\n", + "cosmo = {}\n", + "\n", + "for M in models:\n", + " use_ppf = 'yes'\n", + " gauge = 'Newtonian'\n", + " if 'FLD' in M:\n", + " use_ppf = 'no'\n", + " if 'S' in M:\n", + " gauge = 'Synchronous'\n", + " \n", + " cosmo[M] = Class()\n", + " \n", + " cosmo[M].set({'output':'tCl mPk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", + " 'h':h[M],\n", + " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],\n", + " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", + " 'cs2_fld':1.,\n", + " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", + " 'use_ppf':use_ppf})\n", + " cosmo[M].compute()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "colours = ['r','k','g','m']\n", + "for i,M in enumerate(models):\n", + " cl = cosmo[M].raw_cl()\n", + " l = cl['ell']\n", + " \n", + " plt.loglog(l,cl['tt']*l*(l+1)/(2.*np.pi),label=M,color=colours[i])\n", + " \n", + "plt.legend(loc='upper left')\n", + "plt.xlim([2,300])\n", + "plt.ylim([6e-11,1e-9])\n", + "plt.xlabel(r'$\\ell$')\n", + "plt.ylabel(r'$[\\ell(\\ell+1)/2\\pi] C_\\ell^\\mathrm{TT}$')\n", + "\n", + "plt.savefig('check_PPF_clTT.pdf')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "for M in ['PPF1','FLD1']:\n", + " csm = cosmo[M]\n", + " pt = csm.get_perturbations()\n", + " pts = pt['scalar']\n", + " for i,k in enumerate(k_out):\n", + " ptk = pts[i]\n", + " a = ptk['a']\n", + " phi = ptk['phi']\n", + " psi = ptk['psi']\n", + " if 'FLD' in M:\n", + " ls = ':'\n", + " lw=5\n", + " else:\n", + " ls = '-'\n", + " lw=1\n", + " plt.semilogx(a,0.5*(phi+psi),label=M+' '+'$k='+str(k)+'Mpc^{-1}$',ls=ls,lw=lw)\n", + " \n", + "plt.legend(loc='lower left')\n", + "plt.xlim([1e-2,1])\n", + "plt.ylim([0.3,0.63])\n", + "plt.xlabel(r'$a/a_0$')\n", + "plt.ylabel(r'$\\frac{1}{2} ~(\\Phi+\\Psi)$')\n", + "\n", + "plt.savefig('check_PPF_metric.pdf')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#kminclosed = sqrt(-8*Omega_k)*(70/3e5) Mpc^(-1)\n", + "\n", + "k_out = [1e-3] #[1e-4, 1e-3, 1e-2]\n", + "#models = ['PPF1','PPF2','FLD1']\n", + "models = ['PPF1','FLD1']\n", + "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", + "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", + "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", + "omega_b = 0.022\n", + "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", + "##Omega_b = 0.05\n", + "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64}\n", + "\n", + "fig, axes = plt.subplots(1,2,figsize=(16,5))\n", + "for Omega_K in [-0.1, 0.0, 0.15]:\n", + " for gauge in ['Synchronous','Newtonian']:\n", + " cosmo = {}\n", + " for M in models:\n", + " use_ppf = 'yes'\n", + " if 'FLD' in M:\n", + " use_ppf = 'no'\n", + " \n", + " cosmo[M] = Class()\n", + " \n", + " cosmo[M].set({'output':'tCl mPk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", + " 'h':h[M],\n", + " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],'Omega_k':Omega_K,\n", + " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", + " 'cs2_fld':1.,\n", + " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", + " 'use_ppf':use_ppf,'hyper_sampling_curved_low_nu':10.0})\n", + " cosmo[M].compute()\n", + " \n", + " label = r'$\\Omega_k='+str(Omega_K)+'$, '+gauge[0]\n", + " clfld = cosmo['FLD1'].raw_cl()\n", + " clppf = cosmo['PPF1'].raw_cl()\n", + " \n", + " axes[0].semilogx(clfld['ell'][2:],clppf['tt'][2:]/clfld['tt'][2:],label=label)\n", + " \n", + " ptfld = cosmo['FLD1'].get_perturbations()['scalar']\n", + " ptppf = cosmo['PPF1'].get_perturbations()['scalar']\n", + " for i,k in enumerate(k_out):\n", + " ptkfld = ptfld[i]\n", + " a = ptkfld['a']\n", + " phi_plus_phi_fld = ptkfld['phi']+ptkfld['psi']\n", + " ptkppf = ptppf[i]\n", + " phi_plus_phi_ppf = ptkppf['phi']+ptkppf['psi']\n", + " axes[1].semilogx(ptkppf['a'],phi_plus_phi_ppf,label=label+'_ppf')\n", + " axes[1].semilogx(ptkfld['a'],phi_plus_phi_fld,label=label+'_fld')\n", + " print (len(ptkppf['a']),len(ptkfld['a']))\n", + " \n", + "axes[0].legend(loc='lower left',ncol=2)\n", + "axes[0].set_xlim([2,300])\n", + "axes[0].set_ylim([0.98,1.02])\n", + "axes[0].set_xlabel(r'$\\ell$')\n", + "axes[0].set_ylabel(r'$C_\\ell^\\mathrm{FLD1}/C_\\ell^\\mathrm{PPF1}$')\n", + "\n", + "axes[1].legend(loc='lower left',ncol=2)\n", + "axes[1].set_xlim([1e-2,1])\n", + "axes[1].set_xlabel(r'$a/a_0$')\n", + "axes[1].set_ylabel(r'$(\\Phi+\\Psi)$')\n", + "\n", + "fig.savefig('check_PPF_Omegak.pdf') " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "colours = ['r','k','g','m']\n", + "\n", + "k_out = [1e-1] #[1e-4, 1e-3, 1e-2]\n", + "#models = ['PPF1','PPF2','FLD1']\n", + "models = ['PPF1','FLD1']\n", + "w0 = {'PPF1':-0.7,'PPF2':-1.15,'FLD1':-0.7,'FLD1S':-0.7}\n", + "wa = {'PPF1':0.,'PPF2':0.5,'FLD1':0.,'FLD1S':0.}\n", + "omega_cdm = {'PPF1':0.104976,'PPF2':0.120376,'FLD1':0.104976,'FLD1S':0.104976}\n", + "omega_b = 0.022\n", + "##Omega_cdm = {'PPF1':0.26,'PPF2':0.21,'FLD1':0.26,'FLD1S':0.26}\n", + "##Omega_b = 0.05\n", + "h = {'PPF1':0.64,'PPF2':0.74,'FLD1':0.64}\n", + "\n", + "fig, axes = plt.subplots(1,2,figsize=(18,8))\n", + "\n", + "for Omega_K in [-0.1, 0.0, 0.15]:\n", + " for ppfgauge in ['Synchronous','Newtonian']:\n", + " cosmo = {}\n", + " for M in models:\n", + " use_ppf = 'yes'\n", + " gauge = ppfgauge\n", + " if 'FLD' in M:\n", + " use_ppf = 'no'\n", + " \n", + " cosmo[M] = Class()\n", + " \n", + " cosmo[M].set({'output':'tCl mPk dTk vTk','k_output_values':str(k_out).strip('[]'),\n", + " 'h':h[M],\n", + " 'omega_b':omega_b,'omega_cdm':omega_cdm[M],'Omega_k':Omega_K,\n", + " ##'Omega_b':Omega_b,'omega_cdm':Omega_cdm[M],\n", + " 'cs2_fld':1.,\n", + " 'w0_fld':w0[M],'wa_fld':wa[M],'Omega_Lambda':0.,'gauge':gauge,\n", + " 'use_ppf':use_ppf,'hyper_sampling_curved_low_nu':6.1})\n", + " cosmo[M].compute()\n", + " \n", + " #fig, axes = plt.subplots(1,2,figsize=(16,5))\n", + " for j,M in enumerate(models):\n", + " cl = cosmo[M].raw_cl()\n", + " l = cl['ell']\n", + " label = M+r'$\\Omega_k='+str(Omega_K)+'$, '+gauge[0]\n", + " axes[0].loglog(l,cl['tt']*l*(l+1)/(2.*np.pi),label=label,color=colours[j])\n", + " \n", + " csm = cosmo[M]\n", + " pt = csm.get_perturbations()\n", + " pts = pt['scalar']\n", + " for i,k in enumerate(k_out):\n", + " ptk = pts[i]\n", + " a = ptk['a']\n", + " phi = ptk['phi']\n", + " psi = ptk['psi']\n", + " if 'FLD' in M:\n", + " ls = ':'\n", + " lw=5\n", + " else:\n", + " ls = '-'\n", + " lw=1\n", + " axes[1].semilogx(a,0.5*abs(phi+psi),label=label+' '+'$k='+str(k)+'Mpc^{-1}$',ls=ls,lw=lw)\n", + "\n", + "axes[0].legend(loc='upper left')\n", + "axes[0].set_xlim([2,300])\n", + "axes[0].set_ylim([6e-11,1e-9])\n", + "axes[0].set_xlabel(r'$\\ell$')\n", + "axes[0].set_ylabel(r'$[\\ell(\\ell+1)/2\\pi] C_\\ell^\\mathrm{TT}$')\n", + "\n", + "axes[1].legend(loc='upper right')\n", + "#axes[1].set_xlim([1e-2,1])\n", + "#axes[1].set_ylim([0.3,0.63])\n", + "axes[1].set_xlabel(r'$a/a_0$')\n", + "axes[1].set_ylabel(r'$\\frac{1}{2}~(\\Phi+\\Psi)$')\n", + "\n", + "fig.savefig('check_PPF_Omegak2.pdf') " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print (0.31*0.64**2-0.022)\n", + "print (0.26*0.74**2-0.022)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/notebooks/cl_ST.ipynb b/notebooks/cl_ST.ipynb index c85450c4..e72e4f90 100644 --- a/notebooks/cl_ST.ipynb +++ b/notebooks/cl_ST.ipynb @@ -3,160 +3,134 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", - "# uncomment to get plots displayed in notebook\n", - "%matplotlib inline\n", - "import matplotlib\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", "from classy import Class\n", - "from scipy.optimize import fsolve\n", - "from scipy.interpolate import interp1d\n", - "import math" + "from math import pi" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ - "# esthetic definitions for the plots\n", - "font = {'size' : 16, 'family':'STIXGeneral'}\n", - "axislabelfontsize='large'\n", - "matplotlib.rc('font', **font)\n", - "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", - "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" + "#####################################################\n", + "#\n", + "# Cosmological parameters and other CLASS parameters\n", + "#\n", + "#####################################################\n", + "common_settings = {# LambdaCDM parameters\n", + " 'h':0.67810,\n", + " 'omega_b':0.02238280,\n", + " 'omega_cdm': 0.1201075,\n", + " 'A_s':2.100549e-09,\n", + " 'tau_reio': 0.05430842}\n", + "\n", + "l_max_scalars = 3000\n", + "l_max_tensors = 600\n", + "\n", + "# Note that for l_max_tensors =600 we can keep default precision,\n", + "# while for for l_max_tensors = 3000 we would need to import many high precision settings from the file cl_ref.pre " ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ - "#############################################\n", - "#\n", - "# Cosmological parameters and other CLASS parameters\n", - "#\n", - "common_settings = {# wich output? ClTT, transfer functions delta_i and theta_i\n", - " 'output':'tCl,pCl,lCl',\n", - " # LambdaCDM parameters\n", - " 'h':0.67556,\n", - " 'omega_b':0.022032,\n", - " 'omega_cdm':0.12038,\n", - " 'A_s':2.215e-9,\n", - " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246}\n", - " # other output and precision parameters\n", - " #'l_max_scalars':3000}\n", "###############\n", "# \n", - "# call CLASS \n", + "# call CLASS : scalars only\n", "#\n", "###############\n", "#\n", - "# scalars only\n", - "#\n", "M = Class()\n", "M.set(common_settings)\n", - "M.set({'output':'tCl,pCl','modes':'s','lensing':'no','n_s':0.9619,'l_max_scalars':3000})\n", + "M.set({'output':'tCl,pCl','modes':'s','lensing':'no','n_s':0.9660499,\n", + " 'l_max_scalars':l_max_scalars})\n", "M.compute()\n", - "cls = M.raw_cl(3000)\n", - "M.struct_cleanup()\n", - "M.empty()\n", + "cls = M.raw_cl(l_max_scalars)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "###############\n", + "# \n", + "# call CLASS : tensors only\n", "#\n", - "# tensors only\n", + "###############\n", "#\n", - "M = Class()\n", + "M.empty() # reset input parameters to default, before passing a new parameter set\n", "M.set(common_settings)\n", - "l_max_tensors = 600\n", - "M.set({'output':'tCl,pCl','modes':'t','lensing':'no','r':0.1,'n_t':0,'l_max_tensors':l_max_tensors})\n", - "# for l_max=600 we can keep default precision\n", - "# for l_max = 3000 we would need to import many high precision settings from the file cl_ref.pre\n", - "#M.set({'output':'tCl,pCl','modes':'t','lensing':'no','r':0.1,'n_t':0,'l_max_tensors':3000})\n", - "#M.set({\n", - "#'recfast_Nz0':100000,\n", - "#'tol_thermo_integration':1.e-5,\n", - "#'recfast_x_He0_trigger_delta':0.01,\n", - "#'recfast_x_H0_trigger_delta':0.01,\n", - "#'evolver':0,\n", - "#'k_min_tau0':0.002,\n", - "#'k_max_tau0_over_l_max':3.,\n", - "#'k_step_sub':0.015,\n", - "#'k_step_super':0.0001,\n", - "#'k_step_super_reduction':0.1,\n", - "#'start_small_k_at_tau_c_over_tau_h':0.0004,\n", - "#'start_large_k_at_tau_h_over_tau_k':0.05,\n", - "#'tight_coupling_trigger_tau_c_over_tau_h':0.005,\n", - "#'tight_coupling_trigger_tau_c_over_tau_k':0.008,\n", - "#'start_sources_at_tau_c_over_tau_h':0.006,\n", - "#'l_max_g':50,\n", - "#'l_max_pol_g':25,\n", - "#'l_max_ur':50,\n", - "#'tol_perturb_integration':1.e-6,\n", - "#'perturb_sampling_stepsize':0.01,\n", - "#'radiation_streaming_approximation':2,\n", - "#'radiation_streaming_trigger_tau_over_tau_k':240.,\n", - "#'radiation_streaming_trigger_tau_c_over_tau':100.,\n", - "#'ur_fluid_approximation':2,\n", - "#'ur_fluid_trigger_tau_over_tau_k':50.,\n", - "#'l_logstep':1.026,\n", - "#'l_linstep':25,\n", - "#'hyper_sampling_flat':12.,\n", - "#'hyper_nu_sampling_step':10.,\n", - "#'hyper_phi_min_abs':1.e-10,\n", - "#'hyper_x_tol':1.e-4,\n", - "#'hyper_flat_approximation_nu':1.e6,\n", - "#'q_linstep':0.20,\n", - "#'q_logstep_spline':20.,\n", - "#'q_logstep_trapzd':0.5,\n", - "#'q_numstep_transition':250,\n", - "#'transfer_neglect_delta_k_T_t2':100.,\n", - "#'transfer_neglect_delta_k_T_e':100.,\n", - "#'transfer_neglect_delta_k_T_b':100.,\n", - "#'neglect_CMB_sources_below_visibility':1.e-30,\n", - "#'transfer_neglect_late_source':3000.\n", - "#})\n", + "M.set({'output':'tCl,pCl','modes':'t','lensing':'no','r':0.1,'n_t':0,\n", + " 'l_max_tensors':l_max_tensors})\n", "M.compute()\n", - "clt = M.raw_cl(l_max_tensors)\n", - "M.struct_cleanup()\n", - "M.empty()\n", + "clt = M.raw_cl(l_max_tensors)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "###############\n", + "# \n", + "# call CLASS : scalars + tensors (only in this case we can get the correct lensed ClBB)\n", "#\n", - "# scalars + tensors (only in this case we can get the correct lensed ClBB)\n", + "###############\n", "#\n", - "M = Class()\n", + "M.empty() # reset input parameters to default, before passing a new parameter set\n", "M.set(common_settings)\n", - "M.set({'output':'tCl,pCl,lCl','modes':'s,t','lensing':'yes','r':0.1,'n_s':0.9619,'n_t':0,'l_max_scalars':3000,'l_max_tensors':l_max_tensors})\n", + "M.set({'output':'tCl,pCl,lCl','modes':'s,t','lensing':'yes','n_s':0.9660499,'r':0.1,'n_t':0,\n", + " 'l_max_scalars':l_max_scalars,'l_max_tensors':l_max_tensors})\n", "M.compute()\n", - "cl_tot = M.raw_cl(3000)\n", - "cl_lensed = M.lensed_cl(3000)\n", - "M.struct_cleanup()\n", - "M.empty()\n", + "cl_tot = M.raw_cl(l_max_scalars)\n", + "cl_lensed = M.lensed_cl(l_max_scalars)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# modules and esthetic definitions for the plots\n", + "#\n", + "# uncomment to get plots displayed in notebook\n", + "%matplotlib inline\n", "#\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "#\n", + "font = {'size' : 16, 'family':'STIXGeneral'}\n", + "axislabelfontsize='large'\n", + "matplotlib.rc('font', **font)\n", + "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", + "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "#################\n", "#\n", - "# start plotting\n", + "# plotting\n", "#\n", "#################\n", "#\n", - "plt.xlim([2,3000])\n", + "plt.xlim([2,l_max_scalars])\n", "plt.ylim([1.e-8,10])\n", "plt.xlabel(r\"$\\ell$\")\n", "plt.ylabel(r\"$\\ell (\\ell+1) C_l^{XY} / 2 \\pi \\,\\,\\, [\\times 10^{10}]$\")\n", @@ -165,8 +139,8 @@ "#\n", "ell = cl_tot['ell']\n", "ellt = clt['ell']\n", - "factor = 1.e10*ell*(ell+1.)/2./math.pi\n", - "factort = 1.e10*ellt*(ellt+1.)/2./math.pi\n", + "factor = 1.e10*ell*(ell+1.)/2./pi\n", + "factort = 1.e10*ellt*(ellt+1.)/2./pi\n", "#\n", "plt.loglog(ell,factor*cls['tt'],'r-',label=r'$\\mathrm{TT(s)}$')\n", "plt.loglog(ellt,factort*clt['tt'],'r:',label=r'$\\mathrm{TT(t)}$')\n", @@ -180,11 +154,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('cl_ST.pdf',bbox_inches='tight')" @@ -193,23 +163,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/cltt_terms.ipynb b/notebooks/cltt_terms.ipynb index 7d7f807d..bc005f5f 100644 --- a/notebooks/cltt_terms.ipynb +++ b/notebooks/cltt_terms.ipynb @@ -3,109 +3,101 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", - "# uncomment to get plots displayed in notebook\n", - "%matplotlib inline\n", - "import matplotlib\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", "from classy import Class\n", - "from scipy.optimize import fsolve\n", - "from scipy.interpolate import interp1d\n", - "import math" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, - "outputs": [], - "source": [ - "# esthetic definitions for the plots\n", - "font = {'size' : 16, 'family':'STIXGeneral'}\n", - "axislabelfontsize='large'\n", - "matplotlib.rc('font', **font)\n", - "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", - "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" + "from math import pi" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#############################################\n", "#\n", "# Cosmological parameters and other CLASS parameters\n", "#\n", - "common_settings = {# wich output? ClTT, transfer functions delta_i and theta_i\n", + "common_settings = {# LambdaCDM parameters\n", + " 'h':0.67810,\n", + " 'omega_b':0.02238280,\n", + " 'omega_cdm':0.1201075,\n", + " 'A_s':2.100549e-09,\n", + " 'n_s':0.9660499,\n", + " 'tau_reio':0.05430842 ,\n", + " # output and precision parameters\n", " 'output':'tCl,pCl,lCl',\n", " 'lensing':'yes',\n", - " # LambdaCDM parameters\n", - " 'h':0.67556,\n", - " 'omega_b':0.022032,\n", - " 'omega_cdm':0.12038,\n", - " 'A_s':2.215e-9,\n", - " 'n_s':0.9619,\n", - " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", - " # other output and precision parameters\n", " 'l_max_scalars':5000}\n", + "#\n", + "M = Class()\n", + "#\n", "###############\n", "# \n", - "# call CLASS \n", + "# call CLASS for the total Cl's and then for each contribution\n", + "#\n", + "###############\n", "#\n", - "M = Class()\n", "M.set(common_settings)\n", "M.compute()\n", "cl_tot = M.raw_cl(3000)\n", "cl_lensed = M.lensed_cl(3000)\n", - "M.struct_cleanup() # clean output\n", - "M.empty() # clean input\n", + "M.empty() # reset input\n", "#\n", "M.set(common_settings) # new input\n", "M.set({'temperature contributions':'tsw'}) \n", "M.compute()\n", "cl_tsw = M.raw_cl(3000) \n", - "M.struct_cleanup()\n", "M.empty()\n", "#\n", "M.set(common_settings)\n", "M.set({'temperature contributions':'eisw'})\n", "M.compute()\n", "cl_eisw = M.raw_cl(3000) \n", - "M.struct_cleanup()\n", "M.empty()\n", "#\n", "M.set(common_settings)\n", "M.set({'temperature contributions':'lisw'})\n", "M.compute()\n", "cl_lisw = M.raw_cl(3000) \n", - "M.struct_cleanup()\n", "M.empty()\n", "#\n", "M.set(common_settings)\n", "M.set({'temperature contributions':'dop'})\n", "M.compute()\n", "cl_dop = M.raw_cl(3000) \n", + "M.empty()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# modules and settings for the plot\n", "#\n", + "# uncomment to get plots displayed in notebook\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "# esthetic definitions for the plots\n", + "font = {'size' : 16, 'family':'STIXGeneral'}\n", + "axislabelfontsize='large'\n", + "matplotlib.rc('font', **font)\n", + "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", + "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "#################\n", "#\n", "# start plotting\n", @@ -118,7 +110,7 @@ "plt.grid()\n", "#\n", "ell = cl_tot['ell']\n", - "factor = 1.e10*ell*(ell+1.)/2./math.pi\n", + "factor = 1.e10*ell*(ell+1.)/2./pi\n", "plt.semilogx(ell,factor*cl_tsw['tt'],'c-',label=r'$\\mathrm{T+SW}$')\n", "plt.semilogx(ell,factor*cl_eisw['tt'],'r-',label=r'$\\mathrm{early-ISW}$')\n", "plt.semilogx(ell,factor*cl_lisw['tt'],'y-',label=r'$\\mathrm{late-ISW}$')\n", @@ -132,11 +124,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('cltt_terms.pdf',bbox_inches='tight')" @@ -145,23 +133,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/distances.ipynb b/notebooks/distances.ipynb index 84f66065..bac9e6fc 100644 --- a/notebooks/distances.ipynb +++ b/notebooks/distances.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -22,11 +18,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "font = {'size' : 20, 'family':'STIXGeneral'}\n", @@ -38,11 +30,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#Lambda CDM\n", @@ -54,11 +42,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#Einstein-de Sitter\n", @@ -69,34 +53,26 @@ "# Just to cross-check that Omega_Lambda is negligible \n", "# (but not exactly zero because we neglected radiation)\n", "derived = CDM.get_current_derived_parameters(['Omega0_lambda'])\n", - "print derived\n", - "print \"Omega_Lambda =\",derived['Omega0_lambda']" + "print (derived)\n", + "print (\"Omega_Lambda =\",derived['Omega0_lambda'])" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#Get background quantities and recover their names:\n", "baLCDM = LCDM.get_background()\n", "baCDM = CDM.get_background()\n", - "baCDM.viewkeys()" + "baCDM.keys()" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#Get H_0 in order to plot the distances in this unit\n", @@ -107,11 +83,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "namelist = ['lum. dist.','comov. dist.','ang.diam.dist.']\n", @@ -134,11 +106,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('distances.pdf')" @@ -147,23 +115,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/many_times.ipynb b/notebooks/many_times.ipynb index 7ace0be6..3f0a182c 100644 --- a/notebooks/many_times.ipynb +++ b/notebooks/many_times.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -25,11 +21,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -43,11 +35,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#############################################\n", @@ -80,17 +68,10 @@ " 'YHe':0.246,\n", " # other output and precision parameters\n", " 'z_max_pk':z_max_pk,\n", - " # to get a larger z_max in recfast, \n", - " # we must increase both recfast_z_initial \n", - " # and the number of sampled values recfast_Nz0\n", - " # (in order to keep the same stepzize asd in the default: Delta z = 0.5)\n", - " 'recfast_Nz0':z_max_pk*2.,\n", - " 'recfast_z_initial':z_max_pk+1.,\n", - " #'k_step_sub':'0.01',\n", " 'k_per_decade_for_pk':k_per_decade,\n", " 'k_per_decade_for_bao':k_per_decade,\n", " 'k_min_tau0':k_min_tau0, # this value controls the minimum k value in the figure\n", - " 'perturb_sampling_stepsize':'0.05',\n", + " 'perturbations_sampling_stepsize':'0.05',\n", " 'P_k_max_1/Mpc':P_k_max_inv_Mpc,\n", " 'compute damping scale':'yes', # needed to output and plot Silk damping scale\n", " 'gauge':'newtonian'}\n", @@ -160,10 +141,10 @@ "# check and inform user whether intiial arbitrary choice of z_max_pk was OK\n", "max_z_needed = background_z_at_tau(tau[0])\n", "if max_z_needed > z_max_pk:\n", - " print 'you must increase the value of z_max_pk to at least ',max_z_needed\n", + " print ('you must increase the value of z_max_pk to at least ',max_z_needed)\n", " () + 1 # this strange line is just a trick to stop the script execution there\n", "else:\n", - " print 'in a next run with the same values of tau, you may decrease z_max_pk from ',z_max_pk,' to ',max_z_needed\n", + " print ('in a next run with the same values of tau, you may decrease z_max_pk from ',z_max_pk,' to ',max_z_needed)\n", "#\n", "# get transfer functions at each time and build arrays Theta0(tau,k) and phi(tau,k)\n", "#\n", @@ -188,7 +169,7 @@ "#\n", "# inform user of the size of the grids (related to the figure resolution)\n", "#\n", - "print 'grid size:',len(k),len(tau),Theta0.shape\n", + "print ('grid size:',len(k),len(tau),Theta0.shape)\n", "#\n", "#################\n", "#\n", @@ -201,9 +182,9 @@ "# plot Theta0(k,tau)\n", "#\n", "ax_Theta = fig.add_subplot(121)\n", - "print '> Plotting Theta_0'\n", - "fig_Theta = ax_Theta.pcolormesh(K,T,Theta0,cmap='coolwarm',vmin=-Theta_amp, vmax=Theta_amp) #,shading='gouraud')\n", - "print '> Done'\n", + "print ('> Plotting Theta_0')\n", + "fig_Theta = ax_Theta.pcolormesh(K,T,Theta0,cmap='coolwarm',vmin=-Theta_amp,vmax=Theta_amp,shading='auto')\n", + "print ('> Done')\n", "#\n", "# plot lines (characteristic times and scales)\n", "#\n", @@ -251,9 +232,9 @@ "ax_phi = fig.add_subplot(122)\n", "ax_phi.set_xlim(k[0],k[-1])\n", "#ax_phi.pcolor(K,T,phi,cmap='coolwarm')\n", - "print '> Plotting phi'\n", - "fig_phi = ax_phi.pcolormesh(K,T,phi,cmap='coolwarm',vmin=-0., vmax=phi_amp)\n", - "print '> Done'\n", + "print ('> Plotting phi')\n", + "fig_phi = ax_phi.pcolormesh(K,T,phi,cmap='coolwarm',vmin=-0.,vmax=phi_amp,shading='auto')\n", + "print ('> Done')\n", "#\n", "# plot lines (characteristic times and scales)\n", "#\n", @@ -300,23 +281,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/neutrinohierarchy.ipynb b/notebooks/neutrinohierarchy.ipynb index deaab14b..3a612c07 100644 --- a/notebooks/neutrinohierarchy.ipynb +++ b/notebooks/neutrinohierarchy.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -23,11 +19,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -40,11 +32,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# a function returning the three masses given the Delta m^2, the total mass, and the hierarchy (e.g. 'IN' or 'IH')\n", @@ -79,28 +67,20 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# test of this function, returning the 3 masses for total mass of 0.1eV\n", "m1,m2,m3 = get_masses(2.45e-3,7.50e-5,0.1,'NH')\n", - "print 'NH:',m1,m2,m3,m1+m2+m3\n", + "print ('NH:',m1,m2,m3,m1+m2+m3)\n", "m1,m2,m3 = get_masses(2.45e-3,7.50e-5,0.1,'IH')\n", - "print 'IH:',m1,m2,m3,m1+m2+m3" + "print ('IH:',m1,m2,m3,m1+m2+m3)" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# The goal of this cell is to compute the ratio of P(k) for NH and IH with the same total mass\n", @@ -108,7 +88,7 @@ " 'N_ncdm':3,\n", " 'output':'mPk',\n", " 'P_k_max_1/Mpc':3.0,\n", - " # The next line should be uncommented fgor higher precision (but significantly slower running)\n", + " # The next line should be uncommented for higher precision (but significantly slower running)\n", " 'ncdm_fluid_approximation':3,\n", " # You may uncomment this line to get more info on the ncdm sector from Class:\n", " 'background_verbose':1\n", @@ -154,11 +134,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('neutrinohierarchy.pdf')" @@ -167,23 +143,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/one_k.ipynb b/notebooks/one_k.ipynb index ef81af01..25e3ef91 100644 --- a/notebooks/one_k.ipynb +++ b/notebooks/one_k.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -25,11 +21,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -43,11 +35,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "#############################################\n", @@ -64,14 +52,14 @@ " # value of k we want to polot in [1/Mpc]\n", " 'k_output_values':k,\n", " # LambdaCDM parameters\n", - " 'h':0.67556,\n", - " 'omega_b':0.022032,\n", - " 'omega_cdm':0.12038,\n", - " 'A_s':2.215e-9,\n", - " 'n_s':0.9619,\n", - " 'tau_reio':0.0925,\n", + " 'h':0.67810,\n", + " 'omega_b':0.02238280,\n", + " 'omega_cdm':0.1201075,\n", + " 'A_s':2.100549e-09 ,\n", + " 'n_s':0.9660499,\n", + " 'tau_reio':0.05430842,\n", " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", + " 'YHe':0.2454,\n", " # other options and settings\n", " 'compute damping scale':'yes', # needed to output the time of damping scale crossing\n", " 'gauge':'newtonian'} \n", @@ -86,7 +74,7 @@ "# load perturbations\n", "#\n", "all_k = M.get_perturbations() # this potentially constains scalars/tensors and all k values\n", - "print all_k['scalar'][0].viewkeys()\n", + "print (all_k['scalar'][0].keys())\n", "# \n", "one_k = all_k['scalar'][0] # this contains only the scalar perturbations for the requested k values\n", "# \n", @@ -201,23 +189,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/one_time.ipynb b/notebooks/one_time.ipynb index 20ae6741..bedccc5c 100644 --- a/notebooks/one_time.ipynb +++ b/notebooks/one_time.ipynb @@ -2,116 +2,91 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", - "# uncomment to get plots displayed in notebook\n", - "%matplotlib inline\n", - "import matplotlib\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", "from classy import Class\n", - "from scipy.optimize import fsolve\n", - "from scipy.interpolate import interp1d\n", - "import math" + "from math import pi" ] }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ - "# esthetic definitions for the plots\n", - "font = {'size' : 16, 'family':'STIXGeneral'}\n", - "axislabelfontsize='large'\n", - "matplotlib.rc('font', **font)\n", - "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", - "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "dict_keys(['phi', 'psi', 't_cdm', 't_b', 'd_tot', 't_g', 'd_ur', 'd_cdm', 'd_b', 't_tot', 't_ur', 'd_g', 'k (h/Mpc)'])\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAArMAAAL0CAYAAAAfur/PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nosSsQqFQKBQKhSJg+f9dxMuyz3XXEQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#############################################\n", + "#####################################################\n", "#\n", "# Cosmological parameters and other CLASS parameters\n", "#\n", - "common_settings = {# wich output? ClTT, transfer functions delta_i and theta_i\n", - " 'output':'tCl,mTk,vTk',\n", - " # LambdaCDM parameters\n", - " 'h':0.67556,\n", - " 'omega_b':0.022032,\n", + "#####################################################\n", + "common_settings = {# LambdaCDM parameters\n", + " 'h':0.67810,\n", + " 'omega_b':0.02238280,\n", " 'omega_cdm':0.12038,\n", - " 'A_s':2.215e-9,\n", - " 'n_s':0.9619,\n", - " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", - " # other output and precision parameters\n", + " 'A_s':2.100549e-09,\n", + " 'n_s': 0.9660499,\n", + " 'tau_reio':0.05430842,\n", + " # output and precision parameters\n", + " 'output':'tCl,mTk,vTk',\n", " 'l_max_scalars':5000,\n", " 'P_k_max_1/Mpc':10.0,\n", - " 'gauge':'newtonian'}\n", + " 'gauge':'newtonian'\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "###############\n", "#\n", "# call CLASS a first time just to compute z_rec (will compute transfer functions at default: z=0)\n", "#\n", + "###############\n", "M = Class()\n", "M.set(common_settings)\n", "M.compute()\n", "derived = M.get_current_derived_parameters(['z_rec','tau_rec','conformal_age'])\n", - "#print derived.viewkeys()\n", + "print (derived.keys())\n", "z_rec = derived['z_rec']\n", "z_rec = int(1000.*z_rec)/1000. # round down at 4 digits after coma\n", - "M.struct_cleanup() # clean output\n", - "M.empty() # clean input\n", + "print ('z_rec=',z_rec)\n", "#\n", - "# call CLASS again (will compute transfer functions at inout value z_rec)\n", + "# In the last figure the x-axis will show l/(tau_0-tau_rec), so we need (tau_0-tau_rec) in units of [Mpc/h]\n", "#\n", - "M = Class()\n", + "tau_0_minus_tau_rec_hMpc = (derived['conformal_age']-derived['tau_rec'])*M.h()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "################\n", + "#\n", + "# call CLASS again for the perturbations (will compute transfer functions at input value z_rec)\n", + "#\n", + "################\n", + "M.empty() # reset input parameters to default, before passing a new parameter set\n", "M.set(common_settings)\n", "M.set({'z_pk':z_rec})\n", "M.compute()\n", "#\n", + "# save the total Cl's (we will plot them in the last step)\n", + "#\n", + "cl_tot = M.raw_cl(5000)\n", + "#\n", + "#\n", "# load transfer functions at recombination\n", "#\n", "one_time = M.get_transfer(z_rec)\n", - "print one_time.viewkeys()\n", + "print (one_time.keys())\n", "k = one_time['k (h/Mpc)']\n", "Theta0 = 0.25*one_time['d_g']\n", "phi = one_time['phi']\n", @@ -120,24 +95,30 @@ "# compute related quantitites\n", "R = 3./4.*M.Omega_b()/M.Omega_g()/(1+z_rec) # R = 3/4 * (rho_b/rho_gamma) at z_rec\n", "zero_point = -(1.+R)*psi # zero point of oscillations: -(1.+R)*psi\n", - "#\n", - "# get Theta0 oscillation amplitude (for vertical scale of plot)\n", - "#\n", - "Theta0_amp = max(Theta0.max(),-Theta0.min())\n", - "#\n", + "Theta0_amp = max(Theta0.max(),-Theta0.min()) # Theta0 oscillation amplitude (for vertical scale of plot)\n", + "print ('At z_rec: R=',R,', Theta0_amp=',Theta0_amp)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "# use table of background quantitites to find the wavenumbers corresponding to\n", "# Hubble crossing (k = 2 pi a H), sound horizon crossing (k = 2pi / rs)\n", "#\n", "background = M.get_background() # load background table\n", - "#print background.viewkeys()\n", + "print (background.keys())\n", "#\n", "background_tau = background['conf. time [Mpc]'] # read confromal times in background table\n", "background_z = background['z'] # read redshift\n", - "background_kh = 2.*math.pi*background['H [1/Mpc]']/(1.+background['z'])/M.h() # read kh = 2pi aH = 2pi H/(1+z) converted to [h/Mpc]\n", - "background_ks = 2.*math.pi/background['comov.snd.hrz.']/M.h() # read ks = 2pi/rs converted to [h/Mpc]\n", + "background_kh = 2.*pi*background['H [1/Mpc]']/(1.+background['z'])/M.h() # read kh = 2pi aH = 2pi H/(1+z) converted to [h/Mpc]\n", + "background_ks = 2.*pi/background['comov.snd.hrz.']/M.h() # read ks = 2pi/rs converted to [h/Mpc]\n", "#\n", "# define interpolation functions; we want the value of tau when the argument is equal to 2pi\n", "#\n", + "from scipy.interpolate import interp1d\n", "kh_at_tau = interp1d(background_tau,background_kh)\n", "ks_at_tau = interp1d(background_tau,background_ks)\n", "#\n", @@ -146,7 +127,108 @@ "tau_rec = derived['tau_rec']\n", "kh = kh_at_tau(tau_rec)\n", "ks = ks_at_tau(tau_rec)\n", + "print ('at tau_rec=',tau_rec,', kh=',kh,', ks=',ks)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#####################\n", + "#\n", + "# call CLASS with TSW (intrinsic temperature + Sachs-Wolfe) and save\n", "#\n", + "#####################\n", + "M.empty() # clean input\n", + "M.set(common_settings) # new input\n", + "M.set({'temperature contributions':'tsw'})\n", + "M.compute()\n", + "cl_TSW = M.raw_cl(5000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "######################\n", + "#\n", + "# call CLASS with early ISW and save\n", + "#\n", + "######################\n", + "M.empty()\n", + "M.set(common_settings)\n", + "M.set({'temperature contributions':'eisw'})\n", + "M.compute()\n", + "cl_eISW = M.raw_cl(5000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "######################\n", + "#\n", + "# call CLASS with late ISW and save\n", + "#\n", + "######################\n", + "M.empty()\n", + "M.set(common_settings)\n", + "M.set({'temperature contributions':'lisw'})\n", + "M.compute()\n", + "cl_lISW = M.raw_cl(5000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "######################\n", + "#\n", + "# call CLASS with Doppler and save\n", + "#\n", + "######################\n", + "M.empty()\n", + "M.set(common_settings)\n", + "M.set({'temperature contributions':'dop'})\n", + "M.compute()\n", + "cl_Doppler = M.raw_cl(5000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# modules and esthetic definitions for the plots\n", + "#\n", + "# uncomment to get plots displayed in notebook\n", + "%matplotlib inline\n", + "#\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "#\n", + "font = {'size' : 16, 'family':'STIXGeneral'}\n", + "axislabelfontsize='large'\n", + "matplotlib.rc('font', **font)\n", + "matplotlib.mathtext.rcParams['legend.fontsize']='medium'\n", + "plt.rcParams[\"figure.figsize\"] = [8.0,6.0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "#################\n", "#\n", "# start plotting\n", @@ -205,11 +287,11 @@ "#\n", "# third figure with all contributions to Cls\n", "#\n", - "# For that we will need to call CLASS again for each contribution (TSW, earlyISW, lateISW, Doppler, total)\n", - "# Note that there is another contribution from polarisation: we don't plot it individually because it is\n", + "# We already computed each contribution (TSW, earlyISW, lateISW, Doppler, total)\n", + "# Note that there is another contribution from polarisation. We don't plot it because it is\n", "# too small to be seen, however it is included by default in the total.\n", "#\n", - "# After each step we will save the figure (to get intermediate figures for the slides)\n", + "# After each step we will save the figure (to get intermediate figures that can be used in slides)\n", "#\n", "#########################\n", "# presentation settings\n", @@ -220,100 +302,54 @@ "ax_Cl.tick_params(axis='x',which='both',bottom='on',top='off',labelbottom='on',labeltop='off')\n", "ax_Cl.grid()\n", "#\n", - "# the x-axis will show l/(tau_0-tau_rec), so we need (tau_0-tau_rec) in units of [Mpc/h]\n", + "# plot and save with TSW\n", "#\n", - "tau_0_minus_tau_rec_hMpc = (derived['conformal_age']-derived['tau_rec'])*M.h()\n", - "#\n", - "# save the total Cl's (we will plot them in the last step)\n", - "#\n", - "cl_tot = M.raw_cl(5000)\n", - "#\n", - "# call CLASS with TSW, then plot and save\n", - "#\n", - "M.struct_cleanup() # clean output\n", - "M.empty() # clean input\n", - "M.set(common_settings) # new input\n", - "M.set({'temperature contributions':'tsw'})\n", - "M.compute()\n", - "cl = M.raw_cl(5000)\n", - "#\n", - "ax_Cl.semilogx(cl['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl['ell']*(cl['ell']+1.)*cl['tt']/2./math.pi,'c-',label=r'$\\mathrm{T+SW}$')\n", + "ax_Cl.semilogx(cl_TSW['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_TSW['ell']*(cl_TSW['ell']+1.)*cl_TSW['tt']/2./pi,'c-',label=r'$\\mathrm{T+SW}$')\n", "#\n", "ax_Cl.legend(loc='right',bbox_to_anchor=(1.4, 0.5))\n", "fig.savefig('one_time_with_cl_1.pdf',bbox_inches='tight')\n", "#\n", - "# call CLASS with early ISW, plot; call CLASS with late ISW, plot; then save\n", + "# plot and save with additionally early ISW and late ISW\n", "#\n", - "M.struct_cleanup()\n", - "M.empty()\n", - "M.set(common_settings)\n", - "M.set({'temperature contributions':'eisw'})\n", - "M.compute()\n", - "cl = M.raw_cl(5000)\n", - "#\n", - "ax_Cl.semilogx(cl['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl['ell']*(cl['ell']+1.)*cl['tt']/2./math.pi,'r-',label=r'$\\mathrm{early} \\,\\, \\mathrm{ISW}$')\n", - "#\n", - "M.struct_cleanup()\n", - "M.empty()\n", - "M.set(common_settings)\n", - "M.set({'temperature contributions':'lisw'})\n", - "M.compute()\n", - "cl = M.raw_cl(5000)\n", - "#\n", - "ax_Cl.semilogx(cl['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl['ell']*(cl['ell']+1.)*cl['tt']/2./math.pi,'y-',label=r'$\\mathrm{late} \\,\\, \\mathrm{ISW}$')\n", + "ax_Cl.semilogx(cl_eISW['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_eISW['ell']*(cl_eISW['ell']+1.)*cl_eISW['tt']/2./pi,'r-',label=r'$\\mathrm{early} \\,\\, \\mathrm{ISW}$')\n", + "ax_Cl.semilogx(cl_lISW['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_lISW['ell']*(cl_lISW['ell']+1.)*cl_lISW['tt']/2./pi,'y-',label=r'$\\mathrm{late} \\,\\, \\mathrm{ISW}$')\n", "#\n", "ax_Cl.legend(loc='right',bbox_to_anchor=(1.4, 0.5))\n", "fig.savefig('one_time_with_cl_2.pdf',bbox_inches='tight')\n", "#\n", - "# call CLASS with Doppler, then plot and save\n", - "#\n", - "M.struct_cleanup()\n", - "M.empty()\n", - "M.set(common_settings)\n", - "M.set({'temperature contributions':'dop'})\n", - "M.compute()\n", - "cl = M.raw_cl(5000)\n", + "# plot and save with additionally Doppler\n", "#\n", - "ax_Cl.semilogx(cl['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl['ell']*(cl['ell']+1.)*cl['tt']/2./math.pi,'g-',label=r'$\\mathrm{Doppler}$')\n", + "ax_Cl.semilogx(cl_Doppler['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_Doppler['ell']*(cl_Doppler['ell']+1.)*cl_Doppler['tt']/2./pi,'g-',label=r'$\\mathrm{Doppler}$')\n", "#\n", "ax_Cl.legend(loc='right',bbox_to_anchor=(1.4, 0.5))\n", "fig.savefig('one_time_with_cl_3.pdf',bbox_inches='tight')\n", "#\n", - "# plot the total Cls that had been stored, and save\n", + "# plot and save with additionally total Cls\n", "#\n", - "ax_Cl.semilogx(cl_tot['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_tot['ell']*(cl_tot['ell']+1.)*cl_tot['tt']/2./math.pi,'k-',label=r'$\\mathrm{Total}$')\n", + "ax_Cl.semilogx(cl_tot['ell']/tau_0_minus_tau_rec_hMpc,1.e10*cl_tot['ell']*(cl_tot['ell']+1.)*cl_tot['tt']/2./pi,'k-',label=r'$\\mathrm{Total}$')\n", "#\n", "ax_Cl.legend(loc='right',bbox_to_anchor=(1.4, 0.5))\n", "fig.savefig('one_time_with_cl_tot.pdf',bbox_inches='tight')" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, diff --git a/notebooks/thermo.ipynb b/notebooks/thermo.ipynb index a4cefd48..b5d040a7 100644 --- a/notebooks/thermo.ipynb +++ b/notebooks/thermo.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -25,11 +21,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -43,23 +35,17 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "common_settings = {'output' : 'tCl',\n", " # LambdaCDM parameters\n", - " 'h':0.67556,\n", - " 'omega_b':0.022032,\n", - " 'omega_cdm':0.12038,\n", - " 'A_s':2.215e-9,\n", - " 'n_s':0.9619,\n", - " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", + " 'h':0.6781,\n", + " 'omega_b':0.02238280,\n", + " 'omega_cdm':0.1201075,\n", + " 'A_s':2.100549e-09,\n", + " 'n_s':0.9660499,\n", + " 'tau_reio':0.05430842,\n", " 'thermodynamics_verbose':1\n", " } \n", "##############\n", @@ -72,17 +58,13 @@ "M.compute()\n", "derived = M.get_current_derived_parameters(['tau_rec','conformal_age'])\n", "thermo = M.get_thermodynamics()\n", - "print thermo.viewkeys()" + "print (thermo.keys())" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "tau = thermo['conf. time [Mpc]']\n", @@ -112,11 +94,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('thermo.pdf',bbox_inches='tight')" @@ -125,23 +103,23 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/varying_neff.ipynb b/notebooks/varying_neff.ipynb index 96790df9..2c9f1689 100644 --- a/notebooks/varying_neff.ipynb +++ b/notebooks/varying_neff.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -24,11 +20,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "############################################\n", @@ -36,7 +28,7 @@ "# Varying parameter (others fixed to default)\n", "#\n", "var_name = 'N_ur'\n", - "var_array = np.linspace(3.046,5.046,5)\n", + "var_array = np.linspace(3.044,5.044,5)\n", "var_num = len(var_array)\n", "var_legend = r'$N_\\mathrm{eff}$'\n", "var_figname = 'neff'\n", @@ -48,26 +40,32 @@ "# - h by a factor sqrt*(alpha)\n", "# in order to keep a fixed z_equality(R/M) and z_equality(M/Lambda)\n", "#\n", + "omega_b = 0.0223828\n", + "omega_cdm_standard = 0.1201075\n", + "h_standard = 0.67810\n", + "#\n", "# coefficient such that omega_r = omega_gamma (1 + coeff*Neff),\n", "# i.e. such that omega_ur = omega_gamma * coeff * Neff:\n", - "# coeff = omega_ur/omega_gamma/Neff_standard\n", - "coeff = 1.710730e-05/2.472979e-05/3.046\n", - "print \"coeff=\",coeff\n", + "# coeff = omega_ur/omega_gamma/Neff_standard \n", + "# We could extract omega_ur and omega_gamma on-the-fly within th script, \n", + "# but for simplicity we did a preliminary interactive run with background_verbose=2\n", + "# and we copied the values given in the budget output.\n", + "#\n", + "coeff = 1.70961e-05/2.47298e-05/3.044\n", + "print (\"coeff=\",coeff)\n", "#\n", "#############################################\n", "#\n", "# Fixed settings\n", "#\n", - "common_settings = {'output':'tCl,pCl,lCl,mPk',\n", + "common_settings = {# fixed LambdaCDM parameters\n", + " 'omega_b':omega_b,\n", + " 'A_s':2.100549e-09,\n", + " 'n_s':0.9660499,\n", + " 'tau_reio':0.05430842,\n", + " # output and precision parameters\n", + " 'output':'tCl,pCl,lCl,mPk',\n", " 'lensing':'yes',\n", - " # fixed LambdaCDM parameters\n", - " 'omega_b':0.022032,\n", - " 'A_s':2.215e-9,\n", - " 'n_s':0.9619,\n", - " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", - " # other output and precision parameters\n", " 'P_k_max_1/Mpc':3.0,\n", " 'l_switch_limber':9} \n", "#\n", @@ -81,10 +79,10 @@ " #\n", " # rescale omega_cdm and h\n", " #\n", - " alpha = (1.+coeff*N_ur)/(1.+coeff*3.046)\n", - " omega_cdm = (0.022032 + 0.12038)*alpha - 0.022032\n", - " h = 0.67556*math.sqrt(alpha)\n", - " print ' * Compute with %s=%e, %s=%e, %s=%e'%('N_ur',N_ur,'omega_cdm',omega_cdm,'h',h)\n", + " alpha = (1.+coeff*N_ur)/(1.+coeff*3.044)\n", + " omega_cdm = (omega_b + omega_cdm_standard)*alpha - omega_b\n", + " h = h_standard*math.sqrt(alpha)\n", + " print (' * Compute with %s=%e, %s=%e, %s=%e'%('N_ur',N_ur,'omega_cdm',omega_cdm,'h',h))\n", " #\n", " # call CLASS\n", " #\n", @@ -99,11 +97,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -118,9 +112,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, - "deletable": true, - "editable": true, "scrolled": true }, "outputs": [], @@ -148,8 +139,8 @@ "\n", "for i, N_ur in enumerate(var_array):\n", " #\n", - " alpha = (1.+0.2271*N_ur)/(1.+0.2271*3.046)\n", - " h = 0.67556*math.sqrt(alpha) # this is h\n", + " alpha = (1.+coeff*N_ur)/(1.+coeff*3.044)\n", + " h = 0.67810*math.sqrt(alpha) # this is h\n", " #\n", " # deal with colors and legends\n", " #\n", @@ -183,7 +174,7 @@ " ax_Pk.semilogx(kvec,np.array(pkM[i])/np.array(pkM[0]),\n", " color=var_color,#alpha=var_alpha,\n", " linestyle='-',\n", - " label=r'$\\Delta N_\\mathrm{eff}=%g$'%(N_ur-3.046))\n", + " label=r'$\\Delta N_\\mathrm{eff}=%g$'%(N_ur-3.044))\n", " #\n", " # plot C_l^TT\n", " #\n", @@ -193,7 +184,7 @@ " else: \n", " ax_TT.semilogx(ll[i],clTT[i]/clTT[0],\n", " color=var_color,alpha=var_alpha,linestyle='-',\n", - " label=r'$\\Delta N_\\mathrm{eff}=%g$'%(N_ur-3.046))\n", + " label=r'$\\Delta N_\\mathrm{eff}=%g$'%(N_ur-3.044))\n", "#\n", "# output of P(k) figure\n", "#\n", @@ -213,58 +204,29 @@ "ax_TT.set_ylabel(r'$C_\\ell^\\mathrm{TT}/C_\\ell^\\mathrm{TT}(N_\\mathrm{eff}=3.046)$')\n", "ax_TT.legend(loc='lower left')\n", "fig_TT.tight_layout()\n", - "fig_TT.savefig('ratio-%s-cltt.pdf' % var_figname)\n", - "#\n", - "# output of C_l^EE figure\n", - "# \n", - "#ax_EE.set_xlim([2,2500])\n", - "#ax_EE.set_xlabel(r'$\\ell$')\n", - "#ax_EE.set_ylabel(r'$[\\ell(\\ell+1)/2\\pi] C_\\ell^\\mathrm{EE}$')\n", - "#ax_EE.legend(legarray,loc='lower right')\n", - "#fig_EE.tight_layout()\n", - "#fig_EE.savefig('spectra_%s_clee.pdf' % var_figname)\n", - "#\n", - "# output of C_l^pp figure\n", - "# \n", - "#ax_PP.set_xlim([10,2500])\n", - "#ax_PP.set_xlabel(r'$\\ell$')\n", - "#ax_PP.set_ylabel(r'$[\\ell^2(\\ell+1)^2/2\\pi] C_\\ell^\\mathrm{\\phi \\phi}$')\n", - "#ax_PP.legend(legarray)\n", - "#fig_PP.tight_layout()\n", - "#fig_PP.savefig('spectra_%s_clpp.pdf' % var_figname)" + "fig_TT.savefig('ratio-%s-cltt.pdf' % var_figname)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/varying_pann.ipynb b/notebooks/varying_pann.ipynb index 25115d73..cd835e23 100644 --- a/notebooks/varying_pann.ipynb +++ b/notebooks/varying_pann.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import necessary modules\n", @@ -18,17 +14,13 @@ "import numpy as np\n", "from classy import Class\n", "from scipy.optimize import fsolve\n", - "import math" + "from math import pi" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# esthetic definitions for the plots\n", @@ -42,19 +34,19 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "############################################\n", "#\n", "# Varying parameter (others fixed to default)\n", "#\n", - "var_name = 'annihilation'\n", - "var_array = np.linspace(0,1.e-5,5)\n", + "# With the input suntax of class <= 2.9 we used: annihilation = 1.e-5 m^3/s/Kg\n", + "# With the new syntax this is equivalent to DM_annihilation_efficiency = 1.11e-22 m^3/s/J\n", + "# (the ratio is a factor (c/[1 m/s])**2 = 9.e16)\n", + "#\n", + "var_name = 'DM_annihilation_efficiency'\n", + "var_array = np.linspace(0,1.11e-22,5)\n", "var_num = len(var_array)\n", "var_legend = r'$p_\\mathrm{ann}$'\n", "var_figname = 'pann'\n", @@ -63,27 +55,25 @@ "#\n", "# Fixed settings\n", "#\n", - "common_settings = {'output':'tCl,pCl,lCl,mPk',\n", - " 'lensing':'yes',\n", - " # LambdaCDM parameters\n", + "common_settings = {# LambdaCDM parameters\n", " 'h':0.67556,\n", " 'omega_b':0.022032,\n", " 'omega_cdm':0.12038,\n", " 'A_s':2.215e-9,\n", " 'n_s':0.9619,\n", " 'tau_reio':0.0925,\n", - " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", - " 'YHe':0.246,\n", - " # other output and precision parameters\n", + " # output and precision parameters\n", + " 'output':'tCl,pCl,lCl,mPk',\n", + " 'lensing':'yes',\n", " 'P_k_max_1/Mpc':3.0,\n", - " 'l_switch_limber':9}\n", - " #'background_verbose':1} \n", + " 'l_switch_limber':9\n", + " }\n", "#\n", "# arrays for output\n", "#\n", "kvec = np.logspace(-4,np.log10(3),1000)\n", "legarray = []\n", - "twopi = 2.*math.pi\n", + "twopi = 2.*pi\n", "#\n", "# Create figures\n", "#\n", @@ -92,11 +82,13 @@ "fig_EE, ax_EE = plt.subplots()\n", "fig_PP, ax_PP = plt.subplots()\n", "#\n", + "M = Class()\n", + "#\n", "# loop over varying parameter values\n", "#\n", "for i,var in enumerate(var_array):\n", " #\n", - " print ' * Compute with %s=%e'%(var_name,var)\n", + " print (' * Compute with %s=%e'%(var_name,var))\n", " #\n", " # deal with colors and legends\n", " #\n", @@ -112,7 +104,6 @@ " # \n", " # call CLASS\n", " #\n", - " M = Class()\n", " M.set(common_settings)\n", " M.set({var_name:var})\n", " M.compute()\n", @@ -149,7 +140,6 @@ " #\n", " # reset CLASS\n", " #\n", - " M.struct_cleanup()\n", " M.empty() \n", "#\n", "# output of P(k) figure\n", @@ -159,7 +149,7 @@ "ax_Pk.set_ylabel(r'$P(k) \\,\\,\\,\\, [\\mathrm{Mpc}/h]^3$')\n", "ax_Pk.legend(legarray)\n", "fig_Pk.tight_layout()\n", - "fig_Pk.savefig('spectra_%s_Pk.pdf' % var_figname)\n", + "fig_Pk.savefig('varying_%s_Pk.pdf' % var_figname)\n", "#\n", "# output of C_l^TT figure\n", "# \n", @@ -168,7 +158,7 @@ "ax_TT.set_ylabel(r'$[\\ell(\\ell+1)/2\\pi] C_\\ell^\\mathrm{TT}$')\n", "ax_TT.legend(legarray)\n", "fig_TT.tight_layout()\n", - "fig_TT.savefig('spectra_%s_cltt.pdf' % var_figname)\n", + "fig_TT.savefig('varying_%s_cltt.pdf' % var_figname)\n", "#\n", "# output of C_l^EE figure\n", "# \n", @@ -177,7 +167,7 @@ "ax_EE.set_ylabel(r'$[\\ell(\\ell+1)/2\\pi] C_\\ell^\\mathrm{EE}$')\n", "ax_EE.legend(legarray)\n", "fig_EE.tight_layout()\n", - "fig_EE.savefig('spectra_%s_clee.pdf' % var_figname)\n", + "fig_EE.savefig('varying_%s_clee.pdf' % var_figname)\n", "#\n", "# output of C_l^pp figure\n", "# \n", @@ -186,40 +176,29 @@ "ax_PP.set_ylabel(r'$[\\ell^2(\\ell+1)^2/2\\pi] C_\\ell^\\mathrm{\\phi \\phi}$')\n", "ax_PP.legend(legarray)\n", "fig_PP.tight_layout()\n", - "fig_PP.savefig('spectra_%s_clpp.pdf' % var_figname)" + "fig_PP.savefig('varying_%s_clpp.pdf' % var_figname)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebooks/warmup.ipynb b/notebooks/warmup.ipynb index 9f52246f..7fb84f04 100644 --- a/notebooks/warmup.ipynb +++ b/notebooks/warmup.ipynb @@ -3,11 +3,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# import classy module\n", @@ -17,17 +13,13 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# create instance of the class \"Class\"\n", "LambdaCDM = Class()\n", "# pass input parameters\n", - "LambdaCDM.set({'omega_b':0.022032,'omega_cdm':0.12038,'h':0.67556,'A_s':2.215e-9,'n_s':0.9619,'tau_reio':0.0925})\n", + "LambdaCDM.set({'omega_b':0.0223828,'omega_cdm':0.1201075,'h':0.67810,'A_s':2.100549e-09,'n_s':0.9660499,'tau_reio':0.05430842})\n", "LambdaCDM.set({'output':'tCl,pCl,lCl,mPk','lensing':'yes','P_k_max_1/Mpc':3.0})\n", "# run class\n", "LambdaCDM.compute()" @@ -36,27 +28,19 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# get all C_l output\n", "cls = LambdaCDM.lensed_cl(2500)\n", "# To check the format of cls\n", - "cls.viewkeys()" + "cls.keys()" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "ll = cls['ell'][2:]\n", @@ -68,11 +52,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# uncomment to get plots displayed in notebook\n", @@ -84,11 +64,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# plot C_l^TT\n", @@ -102,11 +78,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('warmup_cltt.pdf')" @@ -115,11 +87,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# get P(k) at redhsift z=0\n", @@ -134,11 +102,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# plot P(k)\n", @@ -152,11 +116,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "plt.savefig('warmup_pk.pdf')" @@ -165,39 +125,34 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ - "# optional: clear content of LambdaCDM (to reuse it for another model)\n", - "LambdaCDM.struct_cleanup()\n", - "# optional: reset parameters to default\n", + "# optional: reset parameters to default in case you want \n", + "# to set different parameters and rerun LambdaCDM.compute()\n", "LambdaCDM.empty()" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.13" + "pygments_lexer": "ipython3", + "version": "3.8.8" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/output/explanatory00_cl.dat b/output/explanatory00_cl.dat new file mode 100644 index 00000000..af6c11e5 --- /dev/null +++ b/output/explanatory00_cl.dat @@ -0,0 +1,3010 @@ +# dimensionless total [l(l+1)/2pi] C_l's +# for l=2 to 3000, i.e. number of multipoles equal to 2999 +# +# -> if you prefer output in CAMB/HealPix/LensPix units/order, set 'format' to 'camb' in input file +# -> if you don't want to see such a header, set 'headers' to 'no' in input file +# -> for CMB lensing (phi), these are C_l^phi-phi for the lensing potential. +# Remember the conversion factors: +# C_l^dd (deflection) = l(l+1) C_l^phi-phi +# C_l^gg (shear/convergence) = 1/4 (l(l+1))^2 C_l^phi-phi +# +# 1:l 2:TT 3:EE 4:TE 5:BB 6:phiphi 7:TPhi 8:Ephi + 2 1.381672191121e-10 4.179499683040e-15 3.519335938596e-13 0.000000000000e+00 8.236345715484e-09 4.535748655438e-10 -1.842359971483e-12 + 3 1.306686611658e-10 5.354349835026e-15 3.955014520573e-13 0.000000000000e+00 5.068763597778e-09 3.217369154938e-10 -1.394920075648e-12 + 4 1.236001793253e-10 4.628866175837e-15 3.698083328650e-13 0.000000000000e+00 3.524743959263e-09 2.436997857927e-10 -9.127421857635e-13 + 5 1.183076845963e-10 3.086039434067e-15 3.148767439294e-13 0.000000000000e+00 2.631980820294e-09 1.925368525815e-10 -5.069340914643e-13 + 6 1.146780302572e-10 1.724512682357e-15 2.535647549060e-13 0.000000000000e+00 2.056887114197e-09 1.566785141488e-10 -2.081013463412e-13 + 7 1.123125102760e-10 9.315387484561e-16 1.990692151663e-13 0.000000000000e+00 1.660291803439e-09 1.303589812185e-10 -1.764541688822e-14 + 8 1.109311879320e-10 6.011013723780e-16 1.571595455636e-13 0.000000000000e+00 1.372925902204e-09 1.103958592899e-10 7.941422178616e-14 + 9 1.102859724143e-10 4.824289336715e-16 1.291091228585e-13 0.000000000000e+00 1.156601753761e-09 9.490323825684e-11 1.064376999485e-13 + 10 1.101461262167e-10 4.107510156128e-16 1.135895276196e-13 0.000000000000e+00 9.888512733596e-10 8.262925872292e-11 8.927909804014e-14 + 11 1.104529729261e-10 3.446472598566e-16 1.079387500808e-13 0.000000000000e+00 8.333804337332e-10 7.300890478750e-11 5.203124929130e-14 + 12 1.110547949220e-10 2.997606112314e-16 1.090991393320e-13 0.000000000000e+00 7.283489590686e-10 6.455586167159e-11 1.227599630793e-14 + 13 1.119012888258e-10 2.870889834209e-16 1.143864366838e-13 0.000000000000e+00 6.421078082299e-10 5.769182789313e-11 -1.798989760025e-14 + 14 1.129451299988e-10 2.986646823353e-16 1.217804103252e-13 0.000000000000e+00 5.703409159936e-10 5.171510398772e-11 -3.451240734620e-14 + 15 1.141729542007e-10 3.227444872754e-16 1.299915692503e-13 0.000000000000e+00 5.099194133766e-10 4.668819785546e-11 -3.750083237488e-14 + 16 1.155094875982e-10 3.568047338715e-16 1.383568923045e-13 0.000000000000e+00 4.585371756284e-10 4.235496816918e-11 -3.091279892492e-14 + 17 1.169823266339e-10 4.063743602057e-16 1.466585843361e-13 0.000000000000e+00 4.144517857253e-10 3.857283733957e-11 -1.994046106344e-14 + 18 1.185283007339e-10 4.768835176800e-16 1.551537303730e-13 0.000000000000e+00 3.761812867130e-10 3.527412534487e-11 -9.473326934204e-15 + 19 1.201586616414e-10 5.686595654060e-16 1.640642382244e-13 0.000000000000e+00 3.431210243185e-10 3.241157096393e-11 -2.116915704517e-15 + 20 1.218661550575e-10 6.797015659447e-16 1.735307423802e-13 0.000000000000e+00 3.139983640629e-10 2.986963992921e-11 4.178950611157e-16 + 21 1.236522709844e-10 8.093671293194e-16 1.835061896886e-13 0.000000000000e+00 2.883573023668e-10 2.760243577936e-11 -1.297255957968e-15 + 22 1.254909584127e-10 9.571661289137e-16 1.938038920504e-13 0.000000000000e+00 2.655859213097e-10 2.555359994146e-11 -5.508496646903e-15 + 23 1.273870911570e-10 1.123297541633e-15 2.040966097053e-13 0.000000000000e+00 2.453721979242e-10 2.371506539791e-11 -1.047337354514e-14 + 24 1.293343083917e-10 1.307992259370e-15 2.139695659829e-13 0.000000000000e+00 2.272498696015e-10 2.207081453838e-11 -1.433778041730e-14 + 25 1.313345652145e-10 1.511336477097e-15 2.231350618037e-13 0.000000000000e+00 2.110064530035e-10 2.060007437769e-11 -1.626983943018e-14 + 26 1.333766177902e-10 1.733605193171e-15 2.313466978287e-13 0.000000000000e+00 1.963485930984e-10 1.926616049707e-11 -1.593290617791e-14 + 27 1.354554386307e-10 1.976812941990e-15 2.384874996896e-13 0.000000000000e+00 1.831009166042e-10 1.805177774032e-11 -1.394333921664e-14 + 28 1.375592939829e-10 2.243491767485e-15 2.445119519608e-13 0.000000000000e+00 1.710354976839e-10 1.693804729448e-11 -1.130861565947e-14 + 29 1.396973472744e-10 2.535048070827e-15 2.494899505818e-13 0.000000000000e+00 1.600910562280e-10 1.592299984683e-11 -8.694803698399e-15 + 30 1.418740584964e-10 2.852516468546e-15 2.535672666228e-13 0.000000000000e+00 1.501504341163e-10 1.500085398628e-11 -6.780557787818e-15 + 31 1.440834200587e-10 3.196897043573e-15 2.568919307532e-13 0.000000000000e+00 1.410112932876e-10 1.415713188381e-11 -6.191227134693e-15 + 32 1.463284469732e-10 3.569248401323e-15 2.594078068976e-13 0.000000000000e+00 1.326266386103e-10 1.338335400768e-11 -6.736511042996e-15 + 33 1.486063115042e-10 3.970621214586e-15 2.609824756209e-13 0.000000000000e+00 1.249373357281e-10 1.266610190598e-11 -7.873686210809e-15 + 34 1.509072839425e-10 4.401982340404e-15 2.614681146973e-13 0.000000000000e+00 1.178359744087e-10 1.198863675439e-11 -9.001023415592e-15 + 35 1.532335614586e-10 4.864049616020e-15 2.607352278080e-13 0.000000000000e+00 1.112863425460e-10 1.135292792201e-11 -9.838986560203e-15 + 36 1.555852942103e-10 5.357386240302e-15 2.586483391715e-13 0.000000000000e+00 1.052360375386e-10 1.076457457523e-11 -1.017395954622e-14 + 37 1.579583656390e-10 5.882527060992e-15 2.550843662289e-13 0.000000000000e+00 9.960648353167e-11 1.022619703828e-11 -9.836467729510e-15 + 38 1.603568088866e-10 6.440292905209e-15 2.500301145959e-13 0.000000000000e+00 9.438322838331e-11 9.735643985964e-12 -8.978594158147e-15 + 39 1.627833464199e-10 7.031573808372e-15 2.435177100681e-13 0.000000000000e+00 8.954978461610e-11 9.286662022992e-12 -7.892037547050e-15 + 40 1.652353395114e-10 7.657243577863e-15 2.356001067526e-13 0.000000000000e+00 8.506015997085e-11 8.868956346158e-12 -6.939763767092e-15 + 41 1.677075632858e-10 8.318114635401e-15 2.263299889245e-13 0.000000000000e+00 8.085489957780e-11 8.471324101691e-12 -6.460906868821e-15 + 42 1.702029838327e-10 9.014787328350e-15 2.156852043259e-13 0.000000000000e+00 7.692168162840e-11 8.093067886908e-12 -6.437183837272e-15 + 43 1.727245333292e-10 9.747749838858e-15 2.036211658035e-13 0.000000000000e+00 7.325011471978e-11 7.735746926749e-12 -6.725627323543e-15 + 44 1.752717377281e-10 1.051741409747e-14 1.900908288655e-13 0.000000000000e+00 6.981355306544e-11 7.399949445673e-12 -7.146696965477e-15 + 45 1.778423121843e-10 1.132415653353e-14 1.750460210276e-13 0.000000000000e+00 6.657862595077e-11 7.085429917979e-12 -7.524043144653e-15 + 46 1.804383142127e-10 1.216846443436e-14 1.584425797171e-13 0.000000000000e+00 6.354027332892e-11 6.791780160793e-12 -7.823300226020e-15 + 47 1.830612539751e-10 1.305082642617e-14 1.402362624689e-13 0.000000000000e+00 6.069498290525e-11 6.517806986270e-12 -8.050942490726e-15 + 48 1.857100984830e-10 1.397169001082e-14 1.203810753521e-13 0.000000000000e+00 5.803022226102e-11 6.261248815429e-12 -8.216018509937e-15 + 49 1.883810443057e-10 1.493146008134e-14 9.882907920570e-14 0.000000000000e+00 5.552376794514e-11 6.018699435195e-12 -8.330311232592e-15 + 50 1.910696750620e-10 1.593047104434e-14 7.553555399642e-14 0.000000000000e+00 5.315040387342e-11 5.786581709354e-12 -8.408796512810e-15 + 51 1.937786516111e-10 1.696889771048e-14 5.047659402298e-14 0.000000000000e+00 5.090571652086e-11 5.564557182559e-12 -8.470794017267e-15 + 52 1.965117163884e-10 1.804681765017e-14 2.363595379688e-14 0.000000000000e+00 4.878759895944e-11 5.352910184166e-12 -8.539405440122e-15 + 53 1.992713787259e-10 1.916423281076e-14 -4.999835656141e-15 0.000000000000e+00 4.678912963858e-11 5.151552566816e-12 -8.641413368307e-15 + 54 2.020587997850e-10 2.032106679000e-14 -3.544140841393e-14 0.000000000000e+00 4.489824826789e-11 4.959996873068e-12 -8.807455413508e-15 + 55 2.048743404012e-10 2.151721124356e-14 -6.769674061825e-14 0.000000000000e+00 4.310143810190e-11 4.777591359455e-12 -9.062314371727e-15 + 56 2.077196276006e-10 2.275268485412e-14 -1.017718665833e-13 0.000000000000e+00 4.139658652715e-11 4.604354912035e-12 -9.392565100602e-15 + 57 2.105957999016e-10 2.402750907788e-14 -1.376702383230e-13 0.000000000000e+00 3.978275160425e-11 4.440302541057e-12 -9.771195437689e-15 + 58 2.135028020833e-10 2.534166167596e-14 -1.753924576530e-13 0.000000000000e+00 3.825627121234e-11 4.285185426492e-12 -1.016657963515e-14 + 59 2.164392959470e-10 2.669507590218e-14 -2.149362269775e-13 0.000000000000e+00 3.681059502544e-11 4.138474286915e-12 -1.054226740190e-14 + 60 2.194025710759e-10 2.808763969081e-14 -2.562963000769e-13 0.000000000000e+00 3.543611648884e-11 3.999342748386e-12 -1.085677294575e-14 + 61 2.223898052325e-10 2.951911703253e-14 -2.994648639468e-13 0.000000000000e+00 3.412284185755e-11 3.866897565024e-12 -1.107304707294e-14 + 62 2.254023780298e-10 3.098889331693e-14 -3.444328958079e-13 0.000000000000e+00 3.286947750652e-11 3.740967290963e-12 -1.118985522091e-14 + 63 2.284423715593e-10 3.249617112796e-14 -3.911890247489e-13 0.000000000000e+00 3.167609348668e-11 3.621461927705e-12 -1.121710026649e-14 + 64 2.315112606984e-10 3.404003979566e-14 -4.397190927192e-13 0.000000000000e+00 3.054138999292e-11 3.508133069096e-12 -1.116685533952e-14 + 65 2.346098666931e-10 3.561947211505e-14 -4.900061189934e-13 0.000000000000e+00 2.946261935831e-11 3.400565102625e-12 -1.105346010106e-14 + 66 2.377383107425e-10 3.723332106498e-14 -5.420302646349e-13 0.000000000000e+00 2.843550804831e-11 3.298166410719e-12 -1.089361702166e-14 + 67 2.408959675815e-10 3.888031652701e-14 -5.957687969604e-13 0.000000000000e+00 2.745417865495e-11 3.200160572040e-12 -1.070648765957e-14 + 68 2.440820717711e-10 4.055919669066e-14 -6.511976484858e-13 0.000000000000e+00 2.651272027929e-11 3.105785656904e-12 -1.051011190236e-14 + 69 2.472977829776e-10 4.226914052238e-14 -7.082965400105e-13 0.000000000000e+00 2.561044354645e-11 3.014958674265e-12 -1.030960795035e-14 + 70 2.505444577112e-10 4.400941743444e-14 -7.670448365360e-13 0.000000000000e+00 2.474755515440e-11 2.927730571402e-12 -1.010674331187e-14 + 71 2.538230044569e-10 4.577926051256e-14 -8.274200497818e-13 0.000000000000e+00 2.392356849418e-11 2.844086637932e-12 -9.903402482016e-15 + 72 2.571338539510e-10 4.757786667945e-14 -8.893978434283e-13 0.000000000000e+00 2.313726780244e-11 2.763943029196e-12 -9.701589179081e-15 + 73 2.604769294580e-10 4.940439685831e-14 -9.529520383608e-13 0.000000000000e+00 2.238667231383e-11 2.687143289669e-12 -9.503428580883e-15 + 74 2.638516170471e-10 5.125797613640e-14 -1.018054617913e-12 0.000000000000e+00 2.166900041351e-11 2.613454876345e-12 -9.311169561161e-15 + 75 2.672567358697e-10 5.313769392854e-14 -1.084675733112e-12 0.000000000000e+00 2.098063378962e-11 2.542565682143e-12 -9.127186925950e-15 + 76 2.706911254120e-10 5.504254051601e-14 -1.152783311902e-12 0.000000000000e+00 2.031801590928e-11 2.474166170603e-12 -8.953670769176e-15 + 77 2.741555965921e-10 5.697120294143e-14 -1.222341792970e-12 0.000000000000e+00 1.968061584160e-11 2.408220756609e-12 -8.791624197064e-15 + 78 2.776512841071e-10 5.892223201848e-14 -1.293313169480e-12 0.000000000000e+00 1.906844228539e-11 2.344739826888e-12 -8.641686047833e-15 + 79 2.811790442245e-10 6.089410153201e-14 -1.365657361780e-12 0.000000000000e+00 1.848114077408e-11 2.283696825711e-12 -8.504423446367e-15 + 80 2.847394377111e-10 6.288520709689e-14 -1.439332214521e-12 0.000000000000e+00 1.791797698720e-11 2.225026533826e-12 -8.380327624710e-15 + 81 2.883327127609e-10 6.489386501686e-14 -1.514293493785e-12 0.000000000000e+00 1.737782006196e-11 2.168623347379e-12 -8.269809742575e-15 + 82 2.919587879238e-10 6.691831114338e-14 -1.590494884202e-12 0.000000000000e+00 1.685912590475e-11 2.114339556843e-12 -8.173196707840e-15 + 83 2.956172350339e-10 6.895669973450e-14 -1.667887986077e-12 0.000000000000e+00 1.635992050265e-11 2.061983625946e-12 -8.090726997053e-15 + 84 2.993075617007e-10 7.100717260337e-14 -1.746422832354e-12 0.000000000000e+00 1.587827981181e-11 2.011367990215e-12 -8.022276798661e-15 + 85 3.030301499861e-10 7.306808223468e-14 -1.826049544280e-12 0.000000000000e+00 1.541389738548e-11 1.962465327073e-12 -7.966495434588e-15 + 86 3.067854427640e-10 7.513780373591e-14 -1.906716946217e-12 0.000000000000e+00 1.496674723632e-11 1.915275156961e-12 -7.921518280562e-15 + 87 3.105736461333e-10 7.721466787599e-14 -1.988372075976e-12 0.000000000000e+00 1.453660214613e-11 1.869775751375e-12 -7.885215116341e-15 + 88 3.143947173811e-10 7.929696112543e-14 -2.070960190678e-12 0.000000000000e+00 1.412302532321e-11 1.825923244052e-12 -7.855181413823e-15 + 89 3.182483529458e-10 8.138292569656e-14 -2.154424772613e-12 0.000000000000e+00 1.372536205971e-11 1.783650742160e-12 -7.828729625160e-15 + 90 3.221339763802e-10 8.347075958370e-14 -2.238707535102e-12 0.000000000000e+00 1.334273138900e-11 1.742867437485e-12 -7.802880470866e-15 + 91 3.260507263143e-10 8.555861660336e-14 -2.323748428353e-12 0.000000000000e+00 1.297401774300e-11 1.703457717625e-12 -7.774354227927e-15 + 92 3.299974444188e-10 8.764460643443e-14 -2.409485645324e-12 0.000000000000e+00 1.261786260954e-11 1.665280277172e-12 -7.739562017917e-15 + 93 3.339730278973e-10 8.972682258941e-14 -2.495856493397e-12 0.000000000000e+00 1.227298692423e-11 1.628202673503e-12 -7.695431825003e-15 + 94 3.379775737525e-10 9.180343105295e-14 -2.582800146643e-12 0.000000000000e+00 1.193923183175e-11 1.592212869746e-12 -7.642047583206e-15 + 95 3.420113851635e-10 9.387259511088e-14 -2.670255320257e-12 0.000000000000e+00 1.161665975879e-11 1.557322902620e-12 -7.580392747528e-15 + 96 3.460746153518e-10 9.593244902499e-14 -2.758159459135e-12 0.000000000000e+00 1.130523387491e-11 1.523534535740e-12 -7.511553639816e-15 + 97 3.501672605480e-10 9.798109845660e-14 -2.846448755616e-12 0.000000000000e+00 1.100481428990e-11 1.490838857351e-12 -7.436722195071e-15 + 98 3.542891529589e-10 1.000166208902e-13 -2.935058167230e-12 0.000000000000e+00 1.071515425101e-11 1.459215878058e-12 -7.357198707761e-15 + 99 3.584399537345e-10 1.020370660569e-13 -3.023921434440e-12 0.000000000000e+00 1.043589634032e-11 1.428634128556e-12 -7.274394578132e-15 + 100 3.626191459345e-10 1.040404563583e-13 -3.112971098386e-12 0.000000000000e+00 1.016656867193e-11 1.399050257363e-12 -7.189835058519e-15 + 101 3.668260274956e-10 1.060247872898e-13 -3.202138518634e-12 0.000000000000e+00 9.906581089356e-12 1.370408628551e-12 -7.105161999657e-15 + 102 3.710597041983e-10 1.079880278645e-13 -3.291353890916e-12 0.000000000000e+00 9.655221362736e-12 1.342640919475e-12 -7.022136596991e-15 + 103 3.753190826336e-10 1.099281210366e-13 -3.380546264878e-12 0.000000000000e+00 9.411651386174e-12 1.315665718507e-12 -6.942642136992e-15 + 104 3.796031005750e-10 1.118430351777e-13 -3.469644121531e-12 0.000000000000e+00 9.175097196261e-12 1.289407660668e-12 -6.868279947646e-15 + 105 3.839114686845e-10 1.137309255139e-13 -3.558577156227e-12 0.000000000000e+00 8.945456451784e-12 1.263858644891e-12 -6.799089173356e-15 + 106 3.882440163546e-10 1.155899953876e-13 -3.647274770741e-12 0.000000000000e+00 8.722766308363e-12 1.239024174875e-12 -6.734658375116e-15 + 107 3.926004588801e-10 1.174184481254e-13 -3.735665558679e-12 0.000000000000e+00 8.507015272556e-12 1.214904374333e-12 -6.674515179875e-15 + 108 3.969803930337e-10 1.192144880220e-13 -3.823677329368e-12 0.000000000000e+00 8.298141529061e-12 1.191493799428e-12 -6.618124556567e-15 + 109 4.013832926418e-10 1.209763213253e-13 -3.911237131757e-12 0.000000000000e+00 8.096031267907e-12 1.168781251207e-12 -6.564887092135e-15 + 110 4.058085041602e-10 1.227021572210e-13 -3.998271278310e-12 0.000000000000e+00 7.900517011650e-12 1.146749588033e-12 -6.514137267563e-15 + 111 4.102552422500e-10 1.243902088171e-13 -4.084705368903e-12 0.000000000000e+00 7.711375942569e-12 1.125375538020e-12 -6.465141733899e-15 + 112 4.147225853529e-10 1.260386941283e-13 -4.170464314715e-12 0.000000000000e+00 7.528328229859e-12 1.104629511464e-12 -6.417097588285e-15 + 113 4.192094712675e-10 1.276458370611e-13 -4.255472362130e-12 0.000000000000e+00 7.351035356830e-12 1.084475413280e-12 -6.369130649984e-15 + 114 4.237146927249e-10 1.292098683982e-13 -4.339653116627e-12 0.000000000000e+00 7.179098448097e-12 1.064870455431e-12 -6.320293736409e-15 + 115 4.282368929640e-10 1.307290267829e-13 -4.422929566677e-12 0.000000000000e+00 7.012056596781e-12 1.045764969365e-12 -6.269564939147e-15 + 116 4.327747574306e-10 1.322016077272e-13 -4.505225050784e-12 0.000000000000e+00 6.849487924182e-12 1.027113288060e-12 -6.216065282859e-15 + 117 4.373276247708e-10 1.336261152891e-13 -4.586466240903e-12 0.000000000000e+00 6.691330274436e-12 1.008908294153e-12 -6.159745409621e-15 + 118 4.418949421609e-10 1.350011307713e-13 -4.666580568308e-12 0.000000000000e+00 6.537596550493e-12 9.911507395400e-13 -6.100779533706e-15 + 119 4.464760731696e-10 1.363252677416e-13 -4.745495344790e-12 0.000000000000e+00 6.388274714248e-12 9.738384628916e-13 -6.039353742404e-15 + 120 4.510702950687e-10 1.375971734425e-13 -4.823137794889e-12 0.000000000000e+00 6.243327022068e-12 9.569662999569e-13 -5.975666211778e-15 + 121 4.556767961424e-10 1.388155302004e-13 -4.899435088127e-12 0.000000000000e+00 6.102689260321e-12 9.405259938734e-13 -5.909927422415e-15 + 122 4.602946729976e-10 1.399790568345e-13 -4.974314371248e-12 0.000000000000e+00 5.966269980902e-12 9.245061054743e-13 -5.842360375178e-15 + 123 4.649229278730e-10 1.410865100663e-13 -5.047702800445e-12 0.000000000000e+00 5.833949736766e-12 9.088919235968e-13 -5.773200806959e-15 + 124 4.695604659497e-10 1.421366859291e-13 -5.119527573600e-12 0.000000000000e+00 5.705580317451e-12 8.936653753901e-13 -5.702697406430e-15 + 125 4.742060926604e-10 1.431284211764e-13 -5.189715962517e-12 0.000000000000e+00 5.580983984610e-12 8.788049366228e-13 -5.631112029797e-15 + 126 4.788585109996e-10 1.440605946921e-13 -5.258195345155e-12 0.000000000000e+00 5.459952707538e-12 8.642855419917e-13 -5.558719916552e-15 + 127 4.835163188330e-10 1.449321288990e-13 -5.324893237863e-12 0.000000000000e+00 5.342247398699e-12 8.500784954291e-13 -5.485809905223e-15 + 128 4.881780062080e-10 1.457419911684e-13 -5.389737327615e-12 0.000000000000e+00 5.227597149259e-12 8.361513804109e-13 -5.412684649130e-15 + 129 4.928421071463e-10 1.464892356015e-13 -5.452656214739e-12 0.000000000000e+00 5.115757458470e-12 8.224756553940e-13 -5.339617322648e-15 + 130 4.975076795658e-10 1.471731305630e-13 -5.513581664753e-12 0.000000000000e+00 5.006693767851e-12 8.090505727051e-13 -5.266715911982e-15 + 131 5.021738731684e-10 1.477930478664e-13 -5.572446665623e-12 0.000000000000e+00 4.900416709966e-12 7.958817262983e-13 -5.194044375351e-15 + 132 5.068397781061e-10 1.483484253371e-13 -5.629184776365e-12 0.000000000000e+00 4.796924580388e-12 7.829735674749e-13 -5.121664723327e-15 + 133 5.115044233969e-10 1.488387685107e-13 -5.683730164365e-12 0.000000000000e+00 4.696202995368e-12 7.703293701835e-13 -5.049636923241e-15 + 134 5.161667753392e-10 1.492636523311e-13 -5.736017642693e-12 0.000000000000e+00 4.598224549501e-12 7.579511963195e-13 -4.978018803609e-15 + 135 5.208257359279e-10 1.496227228484e-13 -5.785982707425e-12 0.000000000000e+00 4.502948473392e-12 7.458398610258e-13 -4.906865958535e-15 + 136 5.254801412691e-10 1.499156989173e-13 -5.833561574960e-12 0.000000000000e+00 4.410320291326e-12 7.339948979919e-13 -4.836231652133e-15 + 137 5.301287599954e-10 1.501423738951e-13 -5.878691219340e-12 0.000000000000e+00 4.320271478931e-12 7.224145247543e-13 -4.766166722938e-15 + 138 5.347702916814e-10 1.503026173397e-13 -5.921309409567e-12 0.000000000000e+00 4.232719120845e-12 7.110956079967e-13 -4.696719488321e-15 + 139 5.394033652586e-10 1.503963767079e-13 -5.961354746920e-12 0.000000000000e+00 4.147565568388e-12 7.000336288492e-13 -4.627935648903e-15 + 140 5.440265374309e-10 1.504236790534e-13 -5.998766702278e-12 0.000000000000e+00 4.064698097222e-12 6.892226481889e-13 -4.559858192971e-15 + 141 5.486382910896e-10 1.503846327250e-13 -6.033485653433e-12 0.000000000000e+00 3.983988565023e-12 6.786552719397e-13 -4.492527300888e-15 + 142 5.532370337291e-10 1.502794290646e-13 -6.065452922412e-12 0.000000000000e+00 3.905293069146e-12 6.683226163719e-13 -4.425980249513e-15 + 143 5.578210958614e-10 1.501083441054e-13 -6.094610812796e-12 0.000000000000e+00 3.828451604291e-12 6.582142734027e-13 -4.360251316611e-15 + 144 5.623888663866e-10 1.498717529799e-13 -6.120903200093e-12 0.000000000000e+00 3.753321610156e-12 6.483205360953e-13 -4.295362599094e-15 + 145 5.669392170890e-10 1.495701711586e-13 -6.144277289683e-12 0.000000000000e+00 3.679883064606e-12 6.386393956927e-13 -4.231295649334e-15 + 146 5.714711171728e-10 1.492042205241e-13 -6.164682103935e-12 0.000000000000e+00 3.608143148760e-12 6.291701716459e-13 -4.168016847848e-15 + 147 5.759834992742e-10 1.487746187814e-13 -6.182067984843e-12 0.000000000000e+00 3.538103141085e-12 6.199112918378e-13 -4.105486091886e-15 + 148 5.804752586648e-10 1.482821812291e-13 -6.196386634529e-12 0.000000000000e+00 3.469758269842e-12 6.108602708727e-13 -4.043656647624e-15 + 149 5.849452524528e-10 1.477278225311e-13 -6.207591155739e-12 0.000000000000e+00 3.403097565516e-12 6.020136883662e-13 -3.982475002363e-15 + 150 5.893922987861e-10 1.471125584869e-13 -6.215636092334e-12 0.000000000000e+00 3.338103713256e-12 5.933671672341e-13 -3.921880716718e-15 + 151 5.938151760545e-10 1.464375078035e-13 -6.220477469796e-12 0.000000000000e+00 3.274752905312e-12 5.849153519829e-13 -3.861806276819e-15 + 152 5.982126220916e-10 1.457038938663e-13 -6.222072835719e-12 0.000000000000e+00 3.213014693471e-12 5.766518869986e-13 -3.802176946499e-15 + 153 6.025833333777e-10 1.449130465101e-13 -6.220381300307e-12 0.000000000000e+00 3.152851841494e-12 5.685693948369e-13 -3.742910619497e-15 + 154 6.069259642419e-10 1.440664037905e-13 -6.215363576870e-12 0.000000000000e+00 3.094220177555e-12 5.606594545123e-13 -3.683917671646e-15 + 155 6.112391260643e-10 1.431655137549e-13 -6.206982022325e-12 0.000000000000e+00 3.037068446673e-12 5.529125797880e-13 -3.625100813073e-15 + 156 6.155213864786e-10 1.422120362138e-13 -6.195200677688e-12 0.000000000000e+00 2.981338163154e-12 5.453181974657e-13 -3.566354940389e-15 + 157 6.197712685742e-10 1.412077445119e-13 -6.179985308574e-12 0.000000000000e+00 2.926963463026e-12 5.378646256745e-13 -3.507566988888e-15 + 158 6.239872500986e-10 1.401545272992e-13 -6.161303445693e-12 0.000000000000e+00 2.873870956474e-12 5.305390521613e-13 -3.448615784740e-15 + 159 6.281677626599e-10 1.390543903022e-13 -6.139124425347e-12 0.000000000000e+00 2.821979580282e-12 5.233275125797e-13 -3.389371897187e-15 + 160 6.323111909289e-10 1.379094580951e-13 -6.113419429926e-12 0.000000000000e+00 2.771200450262e-12 5.162148687802e-13 -3.329697490736e-15 + 161 6.364159819262e-10 1.367219274005e-13 -6.084161387609e-12 0.000000000000e+00 2.721455072907e-12 5.091881382136e-13 -3.269481286118e-15 + 162 6.404809854182e-10 1.354939186315e-13 -6.051324576478e-12 0.000000000000e+00 2.672732099964e-12 5.022468585931e-13 -3.208747227842e-15 + 163 6.445051422387e-10 1.342276145450e-13 -6.014885062624e-12 0.000000000000e+00 2.625035334162e-12 4.953936025822e-13 -3.147555188659e-15 + 164 6.484873766230e-10 1.329253090673e-13 -5.974820877335e-12 0.000000000000e+00 2.578365758822e-12 4.886307028745e-13 -3.085966738719e-15 + 165 6.524265959168e-10 1.315894088419e-13 -5.931112056938e-12 0.000000000000e+00 2.532721474758e-12 4.819602459016e-13 -3.024045159295e-15 + 166 6.563216902849e-10 1.302224347780e-13 -5.883740682651e-12 0.000000000000e+00 2.488097637181e-12 4.753840655406e-13 -2.961855456511e-15 + 167 6.601715324199e-10 1.288270235983e-13 -5.832690920434e-12 0.000000000000e+00 2.444486392609e-12 4.689037368218e-13 -2.899464375066e-15 + 168 6.639749772511e-10 1.274059293877e-13 -5.777949060836e-12 0.000000000000e+00 2.401876815769e-12 4.625205696363e-13 -2.836940411962e-15 + 169 6.677308616537e-10 1.259620251409e-13 -5.719503558843e-12 0.000000000000e+00 2.360254846504e-12 4.562356024437e-13 -2.774353830224e-15 + 170 6.714380041569e-10 1.244983043108e-13 -5.657345073731e-12 0.000000000000e+00 2.319603226675e-12 4.500495959799e-13 -2.711776672637e-15 + 171 6.750952046533e-10 1.230178823567e-13 -5.591466508911e-12 0.000000000000e+00 2.279901437071e-12 4.439630269643e-13 -2.649282775459e-15 + 172 6.787012441076e-10 1.215239982924e-13 -5.521863051782e-12 0.000000000000e+00 2.241125634311e-12 4.379760818080e-13 -2.586947782157e-15 + 173 6.822548842651e-10 1.200200162343e-13 -5.448532213575e-12 0.000000000000e+00 2.203248587752e-12 4.320886503212e-13 -2.524849157129e-15 + 174 6.857548673610e-10 1.185094269496e-13 -5.371473869207e-12 0.000000000000e+00 2.166239616390e-12 4.263003194207e-13 -2.463066199427e-15 + 175 6.891999158288e-10 1.169958494045e-13 -5.290690297130e-12 0.000000000000e+00 2.130064525770e-12 4.206103668379e-13 -2.401680056489e-15 + 176 6.925887320096e-10 1.154830323123e-13 -5.206186219176e-12 0.000000000000e+00 2.094685544888e-12 4.150177548261e-13 -2.340773737860e-15 + 177 6.959199978602e-10 1.139748556815e-13 -5.117968840410e-12 0.000000000000e+00 2.060061263099e-12 4.095211238684e-13 -2.280432128921e-15 + 178 6.991923746628e-10 1.124753323640e-13 -5.026047888976e-12 0.000000000000e+00 2.026146567019e-12 4.041187863853e-13 -2.220742004613e-15 + 179 7.024045027330e-10 1.109886096035e-13 -4.930435655951e-12 0.000000000000e+00 1.992892577435e-12 3.988087204423e-13 -2.161792043163e-15 + 180 7.055550908421e-10 1.095188231619e-13 -4.831145691393e-12 0.000000000000e+00 1.960256441146e-12 3.935890337692e-13 -2.103655889825e-15 + 181 7.086431930384e-10 1.080696435008e-13 -4.728188693355e-12 0.000000000000e+00 1.928231708685e-12 3.884594102079e-13 -2.046339813981e-15 + 182 7.116679533221e-10 1.066446964156e-13 -4.621576367861e-12 0.000000000000e+00 1.896820255732e-12 3.834197664248e-13 -1.989830908068e-15 + 183 7.146285179482e-10 1.052477082139e-13 -4.511322777987e-12 0.000000000000e+00 1.866022618557e-12 3.784697874034e-13 -1.934113615313e-15 + 184 7.175240354662e-10 1.038825067199e-13 -4.397444378760e-12 0.000000000000e+00 1.835837967224e-12 3.736089218842e-13 -1.879169681029e-15 + 185 7.203536567592e-10 1.025530222797e-13 -4.279960052057e-12 0.000000000000e+00 1.806264078793e-12 3.688363778051e-13 -1.824978103910e-15 + 186 7.231165350830e-10 1.012632887670e-13 -4.158891141506e-12 0.000000000000e+00 1.777297310530e-12 3.641511177408e-13 -1.771515087325e-15 + 187 7.258118261056e-10 1.000174445875e-13 -4.034261487386e-12 0.000000000000e+00 1.748932573100e-12 3.595518543430e-13 -1.718753990614e-15 + 188 7.284386879465e-10 9.881973368456e-14 -3.906097461523e-12 0.000000000000e+00 1.721163303781e-12 3.550370457803e-13 -1.666665280382e-15 + 189 7.309962812154e-10 9.767450654435e-14 -3.774428002194e-12 0.000000000000e+00 1.693981439659e-12 3.506048911780e-13 -1.615216481795e-15 + 190 7.334837690522e-10 9.658622120077e-14 -3.639284649026e-12 0.000000000000e+00 1.667377390838e-12 3.462533260583e-13 -1.564372129874e-15 + 191 7.359003171659e-10 9.555944424083e-14 -3.500701577891e-12 0.000000000000e+00 1.641340013637e-12 3.419800177797e-13 -1.514093720793e-15 + 192 7.382450938738e-10 9.459885180970e-14 -3.358715635812e-12 0.000000000000e+00 1.615856583799e-12 3.377823609776e-13 -1.464339663170e-15 + 193 7.405172701407e-10 9.370923061594e-14 -3.213366375859e-12 0.000000000000e+00 1.590912769693e-12 3.336574730037e-13 -1.415065229363e-15 + 194 7.427160196184e-10 9.289547893665e-14 -3.064696092048e-12 0.000000000000e+00 1.566492605515e-12 3.296021893662e-13 -1.366222506767e-15 + 195 7.448405186849e-10 9.216260762261e-14 -2.912749854243e-12 0.000000000000e+00 1.542578464494e-12 3.256130591695e-13 -1.317760349108e-15 + 196 7.468899464835e-10 9.151574110350e-14 -2.757575543055e-12 0.000000000000e+00 1.519151032093e-12 3.216863405545e-13 -1.269624327736e-15 + 197 7.488634849622e-10 9.096011839301e-14 -2.599223884741e-12 0.000000000000e+00 1.496189279217e-12 3.178179961379e-13 -1.221756682923e-15 + 198 7.507603189127e-10 9.050109409405e-14 -2.437748486101e-12 0.000000000000e+00 1.473670435411e-12 3.140036884528e-13 -1.174096275158e-15 + 199 7.525796360101e-10 9.014413940387e-14 -2.273205869385e-12 0.000000000000e+00 1.451569962067e-12 3.102387753883e-13 -1.126578536438e-15 + 200 7.543206268517e-10 8.989484311929e-14 -2.105655507184e-12 0.000000000000e+00 1.429861525626e-12 3.065183056294e-13 -1.079135421568e-15 + 201 7.559825431943e-10 8.975864696808e-14 -1.935156774420e-12 0.000000000000e+00 1.408522156005e-12 3.028380023806e-13 -1.031710995209e-15 + 202 7.575648772186e-10 8.974002844487e-14 -1.761759489089e-12 0.000000000000e+00 1.387548188225e-12 2.991973023269e-13 -9.843095350730e-16 + 203 7.590671951604e-10 8.984326147481e-14 -1.585512762345e-12 0.000000000000e+00 1.366940409159e-12 2.955965252077e-13 -9.369507748689e-16 + 204 7.604890804735e-10 9.007267705950e-14 -1.406468046314e-12 0.000000000000e+00 1.346698963264e-12 2.920359034154e-13 -8.896545748977e-16 + 205 7.618301340413e-10 9.043266349694e-14 -1.224679159877e-12 0.000000000000e+00 1.326823341101e-12 2.885155803564e-13 -8.424409195617e-16 + 206 7.630899743878e-10 9.092766660152e-14 -1.040202314459e-12 0.000000000000e+00 1.307312367872e-12 2.850356088113e-13 -7.953299148707e-16 + 207 7.642682378889e-10 9.156218992394e-14 -8.530961398181e-13 0.000000000000e+00 1.288164191944e-12 2.815959492964e-13 -7.483417859491e-16 + 208 7.653645789839e-10 9.234079497123e-14 -6.634217098317e-13 0.000000000000e+00 1.269376273376e-12 2.781964684240e-13 -7.014968745424e-16 + 209 7.663786703862e-10 9.326810142664e-14 -4.712425682867e-13 0.000000000000e+00 1.250945372453e-12 2.748369372638e-13 -6.548156365242e-16 + 210 7.673102032953e-10 9.434878736967e-14 -2.766247546661e-13 0.000000000000e+00 1.232867538208e-12 2.715170297029e-13 -6.083186394027e-16 + 211 7.681588876075e-10 9.558758949599e-14 -7.963682993712e-14 0.000000000000e+00 1.215138096957e-12 2.682363208074e-13 -5.620265598278e-16 + 212 7.689244521272e-10 9.698930333742e-14 1.196500976604e-13 0.000000000000e+00 1.197751640820e-12 2.649942851827e-13 -5.159601810979e-16 + 213 7.696066447785e-10 9.855878348190e-14 3.211623468264e-13 0.000000000000e+00 1.180702016258e-12 2.617902953345e-13 -4.701403906664e-16 + 214 7.702052328163e-10 1.003009437934e-13 5.248236374125e-13 0.000000000000e+00 1.163982312593e-12 2.586236200298e-13 -4.245881776486e-16 + 215 7.707200030372e-10 1.022207576320e-13 7.305550646336e-13 0.000000000000e+00 1.147584850544e-12 2.554934226574e-13 -3.793246303287e-16 + 216 7.711507619914e-10 1.043232580738e-13 9.382750732807e-13 0.000000000000e+00 1.131501170749e-12 2.523987595888e-13 -3.343709336665e-16 + 217 7.714973361934e-10 1.066135381307e-13 1.147899431932e-12 0.000000000000e+00 1.115722022297e-12 2.493385785392e-13 -2.897483668039e-16 + 218 7.717595723336e-10 1.090967509706e-13 1.359341207166e-12 0.000000000000e+00 1.100237351258e-12 2.463117169279e-13 -2.454783005722e-16 + 219 7.719373374894e-10 1.117781101374e-13 1.572510737772e-12 0.000000000000e+00 1.085036289206e-12 2.433169002398e-13 -2.015821949985e-16 + 220 7.720305193365e-10 1.146628897707e-13 1.787315608963e-12 0.000000000000e+00 1.070107141753e-12 2.403527403854e-13 -1.580815968125e-16 + 221 7.720390263602e-10 1.177564248260e-13 2.003660626589e-12 0.000000000000e+00 1.055437377076e-12 2.374177340624e-13 -1.149981369537e-16 + 222 7.719627880666e-10 1.210641112946e-13 2.221447791345e-12 0.000000000000e+00 1.041013614442e-12 2.345102611159e-13 -7.235352807757e-17 + 223 7.718017551937e-10 1.245914064233e-13 2.440576272989e-12 0.000000000000e+00 1.026821612741e-12 2.316285828995e-13 -3.016956206290e-17 + 224 7.715559196816e-10 1.283434606639e-13 2.660947681969e-12 0.000000000000e+00 1.012849025739e-12 2.287712864554e-13 1.153538290438e-17 + 225 7.712253755694e-10 1.323239867741e-13 2.882482314285e-12 0.000000000000e+00 9.990938884120e-13 2.259386521773e-13 5.275706540830e-17 + 226 7.708102624230e-10 1.365363184226e-13 3.105103901297e-12 0.000000000000e+00 9.855566540985e-13 2.231313709188e-13 9.349535207058e-17 + 227 7.703107461849e-10 1.409837712709e-13 3.328734393088e-12 0.000000000000e+00 9.722374719642e-13 2.203501055035e-13 1.337507998451e-16 + 228 7.697270194332e-10 1.456696423165e-13 3.553293945298e-12 0.000000000000e+00 9.591361821181e-13 2.175954901481e-13 1.735246668217e-16 + 229 7.690593016392e-10 1.505972092359e-13 3.778700905939e-12 0.000000000000e+00 9.462523107288e-13 2.148681298844e-13 2.128189230300e-16 + 230 7.683078394262e-10 1.557697297278e-13 4.004871802228e-12 0.000000000000e+00 9.335850651399e-13 2.121685999813e-13 2.516362612427e-16 + 231 7.674729068274e-10 1.611904408560e-13 4.231721327410e-12 0.000000000000e+00 9.211333289864e-13 2.094974453675e-13 2.899801077801e-16 + 232 7.665548055446e-10 1.668625583929e-13 4.459162327578e-12 0.000000000000e+00 9.088956573101e-13 2.068551800539e-13 3.278546333130e-16 + 233 7.655538652063e-10 1.727892761624e-13 4.687105788506e-12 0.000000000000e+00 8.968702716759e-13 2.042422865552e-13 3.652647636671e-16 + 234 7.644704436261e-10 1.789737653830e-13 4.915460822467e-12 0.000000000000e+00 8.850550552875e-13 2.016592153128e-13 4.022161906261e-16 + 235 7.633049270606e-10 1.854191740112e-13 5.144134655060e-12 0.000000000000e+00 8.734475481034e-13 1.991063841171e-13 4.387153827363e-16 + 236 7.620577304684e-10 1.921286260841e-13 5.373032612038e-12 0.000000000000e+00 8.620449419528e-13 1.965841775293e-13 4.747695961093e-16 + 237 7.607292977679e-10 1.991052210632e-13 5.602058106129e-12 0.000000000000e+00 8.508440756513e-13 1.940929463042e-13 5.103868852268e-16 + 238 7.593201020956e-10 2.063520331769e-13 5.831112623862e-12 0.000000000000e+00 8.398414301173e-13 1.916330068122e-13 5.455761137433e-16 + 239 7.578306460647e-10 2.138721107640e-13 6.060095712393e-12 0.000000000000e+00 8.290331234873e-13 1.892046404618e-13 5.803469652908e-16 + 240 7.562614620231e-10 2.216684756168e-13 6.288904966328e-12 0.000000000000e+00 8.184149062322e-13 1.868080931216e-13 6.147099542817e-16 + 241 7.546131123121e-10 2.297441223241e-13 6.517436014550e-12 0.000000000000e+00 8.079821562733e-13 1.844435745429e-13 6.486764367132e-16 + 242 7.528861895241e-10 2.381020176144e-13 6.745582507042e-12 0.000000000000e+00 7.977298740977e-13 1.821112577817e-13 6.822586209707e-16 + 243 7.510813167615e-10 2.467450996989e-13 6.973236101715e-12 0.000000000000e+00 7.876526778747e-13 1.798112786212e-13 7.154695786314e-16 + 244 7.491991478946e-10 2.556762776149e-13 7.200286451228e-12 0.000000000000e+00 7.777447985715e-13 1.775437349941e-13 7.483232552685e-16 + 245 7.472403678200e-10 2.648984305688e-13 7.426621189818e-12 0.000000000000e+00 7.680000750692e-13 1.753086864049e-13 7.808344812545e-16 + 246 7.452056927192e-10 2.744144072789e-13 7.652125920120e-12 0.000000000000e+00 7.584119492786e-13 1.731061533517e-13 8.130189825653e-16 + 247 7.430958703164e-10 2.842270253190e-13 7.876684199997e-12 0.000000000000e+00 7.489734612560e-13 1.709361167495e-13 8.448933915836e-16 + 248 7.409116801371e-10 2.943390704616e-13 8.100177529361e-12 0.000000000000e+00 7.396772443196e-13 1.687985173513e-13 8.764752579027e-16 + 249 7.386539337664e-10 3.047532960203e-13 8.322485337000e-12 0.000000000000e+00 7.305155201646e-13 1.666932551713e-13 9.077830591305e-16 + 250 7.363234479623e-10 3.154720593289e-13 8.543492296598e-12 0.000000000000e+00 7.214815823774e-13 1.646201861684e-13 9.388315994395e-16 + 251 7.339209617414e-10 3.264962092666e-13 8.763110770224e-12 0.000000000000e+00 7.125743520006e-13 1.625791132778e-13 9.696178884262e-16 + 252 7.314472150086e-10 3.378261332424e-13 8.981259634736e-12 0.000000000000e+00 7.037940754383e-13 1.605697937396e-13 1.000134468133e-15 + 253 7.289029754775e-10 3.494621129376e-13 9.197857069998e-12 0.000000000000e+00 6.951408576927e-13 1.585919412107e-13 1.030373953932e-15 + 254 7.262890388759e-10 3.614043229555e-13 9.412820559718e-12 0.000000000000e+00 6.866146603267e-13 1.566452251822e-13 1.060329036506e-15 + 255 7.236062291529e-10 3.736528294703e-13 9.626066892287e-12 0.000000000000e+00 6.782152994258e-13 1.547292703962e-13 1.089992483833e-15 + 256 7.208553986849e-10 3.862075888763e-13 9.837512161624e-12 0.000000000000e+00 6.699424435607e-13 1.528436562627e-13 1.119357143170e-15 + 257 7.180374284821e-10 3.990684464372e-13 1.004707176801e-11 0.000000000000e+00 6.617956117491e-13 1.509879162770e-13 1.148415943037e-15 + 258 7.151532283949e-10 4.122351349351e-13 1.025466041895e-11 0.000000000000e+00 6.537741714184e-13 1.491615374366e-13 1.177161895200e-15 + 259 7.122037373203e-10 4.257072733202e-13 1.046019212997e-11 0.000000000000e+00 6.458773363677e-13 1.473639596580e-13 1.205588096653e-15 + 260 7.091899234083e-10 4.394843653594e-13 1.066358022551e-11 0.000000000000e+00 6.381041647299e-13 1.455945751944e-13 1.233687731604e-15 + 261 7.061127842682e-10 4.535657982858e-13 1.086473733973e-11 0.000000000000e+00 6.304535569344e-13 1.438527280521e-13 1.261454073456e-15 + 262 7.029733471751e-10 4.679508414479e-13 1.106357541736e-11 0.000000000000e+00 6.229242536688e-13 1.421377134078e-13 1.288880486794e-15 + 263 6.997726692764e-10 4.826386449589e-13 1.126000571455e-11 0.000000000000e+00 6.155148338417e-13 1.404487770256e-13 1.315960429364e-15 + 264 6.965118377978e-10 4.976282383455e-13 1.145393879969e-11 0.000000000000e+00 6.082237125444e-13 1.387851146743e-13 1.342687454061e-15 + 265 6.931919702500e-10 5.129185291976e-13 1.164528455428e-11 0.000000000000e+00 6.010491390136e-13 1.371458715442e-13 1.369055210907e-15 + 266 6.898142146350e-10 5.285083018172e-13 1.183395217374e-11 0.000000000000e+00 5.939891945933e-13 1.355301416640e-13 1.395057449041e-15 + 267 6.863797496528e-10 5.443962158676e-13 1.201985016828e-11 0.000000000000e+00 5.870417906973e-13 1.339369673185e-13 1.420688018697e-15 + 268 6.828897849071e-10 5.605808050230e-13 1.220288636372e-11 0.000000000000e+00 5.802046667713e-13 1.323653384648e-13 1.445940873192e-15 + 269 6.793455611124e-10 5.770604756169e-13 1.238296790232e-11 0.000000000000e+00 5.734753882552e-13 1.308141921501e-13 1.470810070906e-15 + 270 6.757483502999e-10 5.938335052921e-13 1.256000124368e-11 0.000000000000e+00 5.668513445453e-13 1.292824119281e-13 1.495289777266e-15 + 271 6.720994560241e-10 6.108980416496e-13 1.273389216550e-11 0.000000000000e+00 5.603297469565e-13 1.277688272767e-13 1.519374266731e-15 + 272 6.684002135694e-10 6.282521008976e-13 1.290454576447e-11 0.000000000000e+00 5.539076266848e-13 1.262722130145e-13 1.543057924775e-15 + 273 6.646519901559e-10 6.458935665012e-13 1.307186645713e-11 0.000000000000e+00 5.475818327692e-13 1.247912887182e-13 1.566335249870e-15 + 274 6.608561851465e-10 6.638201878309e-13 1.323575798064e-11 0.000000000000e+00 5.413490300543e-13 1.233247181396e-13 1.589200855470e-15 + 275 6.570142302528e-10 6.820295788125e-13 1.339612339369e-11 0.000000000000e+00 5.352056971520e-13 1.218711086226e-13 1.611649471992e-15 + 276 6.531275897415e-10 7.005192165759e-13 1.355286507730e-11 0.000000000000e+00 5.291481244045e-13 1.204290105200e-13 1.633675948805e-15 + 277 6.491977606412e-10 7.192864401044e-13 1.370588473568e-11 0.000000000000e+00 5.231724118458e-13 1.189969166110e-13 1.655275256208e-15 + 278 6.452262729483e-10 7.383284488839e-13 1.385508339708e-11 0.000000000000e+00 5.172744671646e-13 1.175732615182e-13 1.676442487417e-15 + 279 6.412146084176e-10 7.576421890441e-13 1.400036920630e-11 0.000000000000e+00 5.114507802441e-13 1.161567439508e-13 1.697173749468e-15 + 280 6.371639518514e-10 7.772240080321e-13 1.414168124751e-11 0.000000000000e+00 5.057007953943e-13 1.147473131155e-13 1.717468882944e-15 + 281 6.330754273266e-10 7.970699794162e-13 1.427896695733e-11 0.000000000000e+00 5.000246580520e-13 1.133452322749e-13 1.737328887021e-15 + 282 6.289501785319e-10 8.171760122661e-13 1.441217445701e-11 0.000000000000e+00 4.944224484327e-13 1.119507604373e-13 1.756755046567e-15 + 283 6.247893688486e-10 8.375378496289e-13 1.454125256530e-11 0.000000000000e+00 4.888941806851e-13 1.105641522697e-13 1.775748935494e-15 + 284 6.205941814321e-10 8.581510670060e-13 1.466615081118e-11 0.000000000000e+00 4.834398020464e-13 1.091856580108e-13 1.794312420106e-15 + 285 6.163658192932e-10 8.790110708288e-13 1.478681944676e-11 0.000000000000e+00 4.780591919976e-13 1.078155233842e-13 1.812447662448e-15 + 286 6.121055053794e-10 9.001130969360e-13 1.490320946000e-11 0.000000000000e+00 4.727521614185e-13 1.064539895106e-13 1.830157123655e-15 + 287 6.078144826564e-10 9.214522090490e-13 1.501527258760e-11 0.000000000000e+00 4.675184517430e-13 1.051012928216e-13 1.847443567300e-15 + 288 6.034940141892e-10 9.430232972489e-13 1.512296132774e-11 0.000000000000e+00 4.623577341141e-13 1.037576649721e-13 1.864310062745e-15 + 289 5.991453832235e-10 9.648210764527e-13 1.522622895295e-11 0.000000000000e+00 4.572696085390e-13 1.024233327534e-13 1.880759988488e-15 + 290 5.947698932671e-10 9.868400848897e-13 1.532502952286e-11 0.000000000000e+00 4.522536030443e-13 1.010985180063e-13 1.896797035514e-15 + 291 5.903688681711e-10 1.009074682578e-12 1.541931789708e-11 0.000000000000e+00 4.473091728314e-13 9.978343753380e-14 1.912425210642e-15 + 292 5.859436522114e-10 1.031519049800e-12 1.550904974795e-11 0.000000000000e+00 4.424356994312e-13 9.847830301410e-14 1.927648839873e-15 + 293 5.814956101700e-10 1.054167185582e-12 1.559418157337e-11 0.000000000000e+00 4.376324898597e-13 9.718332091369e-14 1.942472571744e-15 + 294 5.770261274160e-10 1.077012906163e-12 1.567467070961e-11 0.000000000000e+00 4.328987757725e-13 9.589869240020e-14 1.956901380671e-15 + 295 5.725366099875e-10 1.100049843483e-12 1.575047534413e-11 0.000000000000e+00 4.282337126208e-13 9.462461325533e-14 1.970940570303e-15 + 296 5.680284846724e-10 1.123271443646e-12 1.582155452837e-11 0.000000000000e+00 4.236363788058e-13 9.336127378785e-14 1.984595776865e-15 + 297 5.635031990900e-10 1.146670965408e-12 1.588786819059e-11 0.000000000000e+00 4.191057748344e-13 9.210885874648e-14 1.997872972515e-15 + 298 5.589622217724e-10 1.170241478645e-12 1.594937714863e-11 0.000000000000e+00 4.146408224738e-13 9.086754723290e-14 2.010778468684e-15 + 299 5.544070422455e-10 1.193975862834e-12 1.600604312278e-11 0.000000000000e+00 4.102403639071e-13 8.963751261467e-14 2.023318919434e-15 + 300 5.498391711107e-10 1.217866805529e-12 1.605782874853e-11 0.000000000000e+00 4.059031608884e-13 8.841892243816e-14 2.035501324798e-15 + 301 5.452601401259e-10 1.241906800835e-12 1.610469758943e-11 0.000000000000e+00 4.016278938975e-13 8.721193834155e-14 2.047333034136e-15 + 302 5.406715022872e-10 1.266088147886e-12 1.614661414987e-11 0.000000000000e+00 3.974131612957e-13 8.601671596771e-14 2.058821749482e-15 + 303 5.360748319099e-10 1.290402949321e-12 1.618354388791e-11 0.000000000000e+00 3.932574784805e-13 8.483340487720e-14 2.069975528890e-15 + 304 5.314717247099e-10 1.314843109763e-12 1.621545322805e-11 0.000000000000e+00 3.891592770407e-13 8.366214846116e-14 2.080802789786e-15 + 305 5.268637978850e-10 1.339400334289e-12 1.624230957411e-11 0.000000000000e+00 3.851169039119e-13 8.250308385435e-14 2.091312312318e-15 + 306 5.222526901966e-10 1.364066126913e-12 1.626408132196e-11 0.000000000000e+00 3.811286205314e-13 8.135634184798e-14 2.101513242702e-15 + 307 5.176400620506e-10 1.388831789060e-12 1.628073787239e-11 0.000000000000e+00 3.771926019935e-13 8.022204680275e-14 2.111415096570e-15 + 308 5.130275955785e-10 1.413688418041e-12 1.629224964388e-11 0.000000000000e+00 3.733069362042e-13 7.910031656177e-14 2.121027762325e-15 + 309 5.084169947197e-10 1.438626905531e-12 1.629858808544e-11 0.000000000000e+00 3.694696230371e-13 7.799126236347e-14 2.130361504484e-15 + 310 5.038099853018e-10 1.463637936043e-12 1.629972568941e-11 0.000000000000e+00 3.656785734878e-13 7.689498875459e-14 2.139426967029e-15 + 311 4.992083151223e-10 1.488711985409e-12 1.629563600425e-11 0.000000000000e+00 3.619316088297e-13 7.581159350311e-14 2.148235176756e-15 + 312 4.946136353675e-10 1.513839796305e-12 1.628629819843e-11 0.000000000000e+00 3.582268696967e-13 7.474115547800e-14 2.156795408977e-15 + 313 4.900271386197e-10 1.539013832346e-12 1.627171095982e-11 0.000000000000e+00 3.545640660452e-13 7.368369784534e-14 2.165108668304e-15 + 314 4.854499042119e-10 1.564226888484e-12 1.625187926621e-11 0.000000000000e+00 3.509432835398e-13 7.263922299446e-14 2.173173911916e-15 + 315 4.808830153130e-10 1.589471619109e-12 1.622680991077e-11 0.000000000000e+00 3.473645785143e-13 7.160772431573e-14 2.180990160656e-15 + 316 4.763275588622e-10 1.614740537105e-12 1.619651152046e-11 0.000000000000e+00 3.438279776302e-13 7.058918609876e-14 2.188556499753e-15 + 317 4.717846255052e-10 1.640026012919e-12 1.616099457438e-11 0.000000000000e+00 3.403334775361e-13 6.958358343053e-14 2.195872079544e-15 + 318 4.672553095296e-10 1.665320273619e-12 1.612027142223e-11 0.000000000000e+00 3.368810445265e-13 6.859088209357e-14 2.202936116195e-15 + 319 4.627407088005e-10 1.690615401959e-12 1.607435630267e-11 0.000000000000e+00 3.334706142001e-13 6.761103846413e-14 2.209747892427e-15 + 320 4.582419246954e-10 1.715903335441e-12 1.602326536174e-11 0.000000000000e+00 3.301020911194e-13 6.664399941030e-14 2.216306758234e-15 + 321 4.537600620407e-10 1.741175865377e-12 1.596701667126e-11 0.000000000000e+00 3.267753484691e-13 6.568970219021e-14 2.222612131607e-15 + 322 4.492962290465e-10 1.766424635954e-12 1.590563024725e-11 0.000000000000e+00 3.234902277151e-13 6.474807435019e-14 2.228663499257e-15 + 323 4.448515372422e-10 1.791641143292e-12 1.583912806828e-11 0.000000000000e+00 3.202465382633e-13 6.381903362288e-14 2.234460417334e-15 + 324 4.404271014123e-10 1.816816734511e-12 1.576753409393e-11 0.000000000000e+00 3.170440571187e-13 6.290248782546e-14 2.240002512154e-15 + 325 4.360240395318e-10 1.841942606791e-12 1.569087428316e-11 0.000000000000e+00 3.138825285440e-13 6.199833475776e-14 2.245289480918e-15 + 326 4.316434727014e-10 1.867009806435e-12 1.560917661274e-11 0.000000000000e+00 3.107616637185e-13 6.110646210045e-14 2.250321092435e-15 + 327 4.272865250836e-10 1.892009227934e-12 1.552247109559e-11 0.000000000000e+00 3.076811403972e-13 6.022674731317e-14 2.255097187843e-15 + 328 4.229543238376e-10 1.916931613026e-12 1.543078979927e-11 0.000000000000e+00 3.046406025694e-13 5.935905753273e-14 2.259617681335e-15 + 329 4.186479990553e-10 1.941767549761e-12 1.533416686430e-11 0.000000000000e+00 3.016396601176e-13 5.850324947123e-14 2.263882560875e-15 + 330 4.143686836967e-10 1.966507471561e-12 1.523263852263e-11 0.000000000000e+00 2.986778884765e-13 5.765916931425e-14 2.267891888927e-15 + 331 4.101175135250e-10 1.991141656286e-12 1.512624311598e-11 0.000000000000e+00 2.957548282918e-13 5.682665261899e-14 2.271645803173e-15 + 332 4.058956270429e-10 2.015660225295e-12 1.501502111430e-11 0.000000000000e+00 2.928699850791e-13 5.600552421244e-14 2.275144517236e-15 + 333 4.017041654273e-10 2.040053142508e-12 1.489901513414e-11 0.000000000000e+00 2.900228288826e-13 5.519559808956e-14 2.278388321402e-15 + 334 3.975442724653e-10 2.064310213468e-12 1.477826995703e-11 0.000000000000e+00 2.872127939341e-13 5.439667731139e-14 2.281377583344e-15 + 335 3.934170944896e-10 2.088421084407e-12 1.465283254795e-11 0.000000000000e+00 2.844392783121e-13 5.360855390326e-14 2.284112748841e-15 + 336 3.893237803142e-10 2.112375241304e-12 1.452275207366e-11 0.000000000000e+00 2.817016436002e-13 5.283100875292e-14 2.286594342505e-15 + 337 3.852654811695e-10 2.136162008952e-12 1.438807992114e-11 0.000000000000e+00 2.789992145462e-13 5.206381150872e-14 2.288822968498e-15 + 338 3.812433506380e-10 2.159770550016e-12 1.424886971599e-11 0.000000000000e+00 2.763312787210e-13 5.130672047775e-14 2.290799311257e-15 + 339 3.772585445901e-10 2.183189864099e-12 1.410517734084e-11 0.000000000000e+00 2.736970861774e-13 5.055948252403e-14 2.292524136215e-15 + 340 3.733122211191e-10 2.206408786805e-12 1.395706095372e-11 0.000000000000e+00 2.710958491091e-13 4.982183296664e-14 2.293998290526e-15 + 341 3.694055404773e-10 2.229415988798e-12 1.380458100648e-11 0.000000000000e+00 2.685267415093e-13 4.909349547789e-14 2.295222703784e-15 + 342 3.655396650109e-10 2.252199974868e-12 1.364780026320e-11 0.000000000000e+00 2.659888988298e-13 4.837418198148e-14 2.296198388747e-15 + 343 3.617157590960e-10 2.274749082991e-12 1.348678381860e-11 0.000000000000e+00 2.634814176398e-13 4.766359255068e-14 2.296926442057e-15 + 344 3.579349890739e-10 2.297051483396e-12 1.332159911641e-11 0.000000000000e+00 2.610033552847e-13 4.696141530646e-14 2.297408044966e-15 + 345 3.541985231867e-10 2.319095177620e-12 1.315231596779e-11 0.000000000000e+00 2.585537295451e-13 4.626732631566e-14 2.297644464054e-15 + 346 3.505075315125e-10 2.340867997578e-12 1.297900656974e-11 0.000000000000e+00 2.561315182955e-13 4.558098948916e-14 2.297637051955e-15 + 347 3.468631859016e-10 2.362357604622e-12 1.280174552349e-11 0.000000000000e+00 2.537356591632e-13 4.490205648003e-14 2.297387248077e-15 + 348 3.432666599112e-10 2.383551488605e-12 1.262060985291e-11 0.000000000000e+00 2.513650491874e-13 4.423016658171e-14 2.296896579324e-15 + 349 3.397190273065e-10 2.404438102173e-12 1.243567539090e-11 0.000000000000e+00 2.490187481852e-13 4.356501520778e-14 2.296166523451e-15 + 350 3.362209530401e-10 2.425010317573e-12 1.224700573527e-11 0.000000000000e+00 2.466965988713e-13 4.290656267919e-14 2.295198091383e-15 + 351 3.327729893102e-10 2.445262111599e-12 1.205466287015e-11 0.000000000000e+00 2.443986318287e-13 4.225483391009e-14 2.293992228959e-15 + 352 3.293756756739e-10 2.465187443488e-12 1.185871077140e-11 0.000000000000e+00 2.421248639847e-13 4.160985057437e-14 2.292549953322e-15 + 353 3.260295388830e-10 2.484780255106e-12 1.165921542143e-11 0.000000000000e+00 2.398752984700e-13 4.097163107122e-14 2.290872353506e-15 + 354 3.227350927201e-10 2.504034471119e-12 1.145624482404e-11 0.000000000000e+00 2.376499244776e-13 4.034019049064e-14 2.288960591024e-15 + 355 3.194928378340e-10 2.522943999175e-12 1.124986901924e-11 0.000000000000e+00 2.354487171219e-13 3.971554057900e-14 2.286815900452e-15 + 356 3.163032615759e-10 2.541502730079e-12 1.104016009810e-11 0.000000000000e+00 2.332716372979e-13 3.909768970454e-14 2.284439590022e-15 + 357 3.131668378355e-10 2.559704537974e-12 1.082719221758e-11 0.000000000000e+00 2.311186315396e-13 3.848664282295e-14 2.281833042202e-15 + 358 3.100840268761e-10 2.577543280515e-12 1.061104161536e-11 0.000000000000e+00 2.289896318795e-13 3.788240144286e-14 2.278997714291e-15 + 359 3.070552751714e-10 2.595012799051e-12 1.039178662468e-11 0.000000000000e+00 2.268845557075e-13 3.728496359141e-14 2.275935138999e-15 + 360 3.040810152406e-10 2.612106918797e-12 1.016950768916e-11 0.000000000000e+00 2.248033056297e-13 3.669432377976e-14 2.272646925039e-15 + 361 3.011616654847e-10 2.628819449020e-12 9.944287377664e-12 0.000000000000e+00 2.227457693274e-13 3.611047296865e-14 2.269134757714e-15 + 362 2.982976300222e-10 2.645144183210e-12 9.716210399091e-12 0.000000000000e+00 2.207118194165e-13 3.553339853390e-14 2.265400399502e-15 + 363 2.954892985251e-10 2.661074899258e-12 9.485363617249e-12 0.000000000000e+00 2.187013133058e-13 3.496308423199e-14 2.261445690645e-15 + 364 2.927370460544e-10 2.676605359641e-12 9.251836065667e-12 0.000000000000e+00 2.167140930567e-13 3.439951016555e-14 2.257272549734e-15 + 365 2.900412328966e-10 2.691729311591e-12 9.015718962436e-12 0.000000000000e+00 2.147499852417e-13 3.384265274892e-14 2.252882974300e-15 + 366 2.874022043989e-10 2.706440487277e-12 8.777105725040e-12 0.000000000000e+00 2.128088008034e-13 3.329248467368e-14 2.248279041399e-15 + 367 2.848202908054e-10 2.720732603984e-12 8.536091985193e-12 0.000000000000e+00 2.108903349138e-13 3.274897487419e-14 2.243462908200e-15 + 368 2.822958070932e-10 2.734599364288e-12 8.292775603669e-12 0.000000000000e+00 2.089943668332e-13 3.221208849311e-14 2.238436812569e-15 + 369 2.798290528076e-10 2.748034456236e-12 8.047256685142e-12 0.000000000000e+00 2.071206597689e-13 3.168178684694e-14 2.233203073662e-15 + 370 2.774203118987e-10 2.761031553523e-12 7.799637593014e-12 0.000000000000e+00 2.052689607345e-13 3.115802739159e-14 2.227764092509e-15 + 371 2.750698525566e-10 2.773584315669e-12 7.550022964252e-12 0.000000000000e+00 2.034390004087e-13 3.064076368784e-14 2.222122352600e-15 + 372 2.727779270479e-10 2.785686388197e-12 7.298519724222e-12 0.000000000000e+00 2.016304929944e-13 3.012994536694e-14 2.216280420474e-15 + 373 2.705447715510e-10 2.797331402814e-12 7.045237101522e-12 0.000000000000e+00 1.998431360777e-13 2.962551809614e-14 2.210240946308e-15 + 374 2.683706059925e-10 2.808512977584e-12 6.790286642818e-12 0.000000000000e+00 1.980766104869e-13 2.912742354418e-14 2.204006664500e-15 + 375 2.662556338824e-10 2.819224717109e-12 6.533782227675e-12 0.000000000000e+00 1.963305801513e-13 2.863559934686e-14 2.197580394262e-15 + 376 2.642000421507e-10 2.829460212706e-12 6.275840083392e-12 0.000000000000e+00 1.946046919602e-13 2.814997907258e-14 2.190965040199e-15 + 377 2.622040009827e-10 2.839213042585e-12 6.016578799840e-12 0.000000000000e+00 1.928985756224e-13 2.767049218786e-14 2.184163592905e-15 + 378 2.602676636553e-10 2.848476772026e-12 5.756119344288e-12 0.000000000000e+00 1.912118435243e-13 2.719706402286e-14 2.177179129546e-15 + 379 2.583911663723e-10 2.857244953558e-12 5.494585076245e-12 0.000000000000e+00 1.895440905899e-13 2.672961573696e-14 2.170014814446e-15 + 380 2.565746281010e-10 2.865511127135e-12 5.232101762289e-12 0.000000000000e+00 1.878948941389e-13 2.626806428424e-14 2.162673899678e-15 + 381 2.548181504073e-10 2.873268820318e-12 4.968797590904e-12 0.000000000000e+00 1.862638137461e-13 2.581232237905e-14 2.155159725647e-15 + 382 2.531218172923e-10 2.880511548446e-12 4.704803187311e-12 0.000000000000e+00 1.846503911004e-13 2.536229846156e-14 2.147475721681e-15 + 383 2.514856950275e-10 2.887232814822e-12 4.440251628304e-12 0.000000000000e+00 1.830541498639e-13 2.491789666324e-14 2.139625406616e-15 + 384 2.499098319912e-10 2.893426110883e-12 4.175278457086e-12 0.000000000000e+00 1.814745955304e-13 2.447901677245e-14 2.131612389385e-15 + 385 2.483942585039e-10 2.899084916385e-12 3.910021698096e-12 0.000000000000e+00 1.799112152850e-13 2.404555419993e-14 2.123440369604e-15 + 386 2.469389866648e-10 2.904202699573e-12 3.644621871852e-12 0.000000000000e+00 1.783634778626e-13 2.361739994437e-14 2.115113138158e-15 + 387 2.455440101867e-10 2.908772917366e-12 3.379222009779e-12 0.000000000000e+00 1.768308334071e-13 2.319444055794e-14 2.106634577792e-15 + 388 2.442092882097e-10 2.912790178532e-12 3.113955586777e-12 0.000000000000e+00 1.753128118827e-13 2.277658002680e-14 2.098008221462e-15 + 389 2.429346964058e-10 2.916253780819e-12 2.848909791020e-12 0.000000000000e+00 1.738093226533e-13 2.236380638544e-14 2.089235907979e-15 + 390 2.417200737229e-10 2.919164306486e-12 2.584160909348e-12 0.000000000000e+00 1.723203658323e-13 2.195612752648e-14 2.080319077237e-15 + 391 2.405652380662e-10 2.921522472340e-12 2.319786290685e-12 0.000000000000e+00 1.708459346797e-13 2.155354949366e-14 2.071259208132e-15 + 392 2.394699861219e-10 2.923329130848e-12 2.055864351263e-12 0.000000000000e+00 1.693860155396e-13 2.115607646485e-14 2.062057818800e-15 + 393 2.384340931796e-10 2.924585271234e-12 1.792474579856e-12 0.000000000000e+00 1.679405877772e-13 2.076371073494e-14 2.052716466855e-15 + 394 2.374573129561e-10 2.925292020580e-12 1.529697543001e-12 0.000000000000e+00 1.665096237168e-13 2.037645269887e-14 2.043236749624e-15 + 395 2.365393774181e-10 2.925450644936e-12 1.267614890232e-12 0.000000000000e+00 1.650930885783e-13 1.999430083452e-14 2.033620304380e-15 + 396 2.356799966056e-10 2.925062550412e-12 1.006309359304e-12 0.000000000000e+00 1.636909404153e-13 1.961725168573e-14 2.023868808581e-15 + 397 2.348788584548e-10 2.924129284292e-12 7.458647814213e-13 0.000000000000e+00 1.623031300519e-13 1.924529984522e-14 2.013983980104e-15 + 398 2.341356286212e-10 2.922652536125e-12 4.863660864668e-13 0.000000000000e+00 1.609296010204e-13 1.887843793757e-14 2.003967577480e-15 + 399 2.334499503030e-10 2.920634138837e-12 2.278993082289e-13 0.000000000000e+00 1.595702894983e-13 1.851665660213e-14 1.993821400131e-15 + 400 2.328214440640e-10 2.918076069828e-12 -2.944841036992e-14 0.000000000000e+00 1.582251242461e-13 1.815994447607e-14 1.983547288606e-15 + 401 2.322497076570e-10 2.914980452077e-12 -2.855888120462e-13 0.000000000000e+00 1.568940265443e-13 1.780828817725e-14 1.973147124815e-15 + 402 2.317343158463e-10 2.911349555241e-12 -5.404325199267e-13 0.000000000000e+00 1.555769101307e-13 1.746167228722e-14 1.962622832266e-15 + 403 2.312748202316e-10 2.907185796763e-12 -7.938890323212e-13 0.000000000000e+00 1.542736811379e-13 1.712007933418e-14 1.951976376299e-15 + 404 2.308707490707e-10 2.902491742970e-12 -1.045866717494e-12 0.000000000000e+00 1.529842380309e-13 1.678348977592e-14 1.941209764324e-15 + 405 2.305216071025e-10 2.897270110178e-12 -1.296272808437e-12 0.000000000000e+00 1.517084715439e-13 1.645188198281e-14 1.930325046056e-15 + 406 2.302268753706e-10 2.891523765791e-12 -1.545013397640e-12 0.000000000000e+00 1.504462646177e-13 1.612523222071e-14 1.919324313749e-15 + 407 2.299860110460e-10 2.885255729410e-12 -1.791993431866e-12 0.000000000000e+00 1.491974923378e-13 1.580351463397e-14 1.908209702433e-15 + 408 2.297984472504e-10 2.878469173928e-12 -2.037116706919e-12 0.000000000000e+00 1.479620218707e-13 1.548670122838e-14 1.896983390151e-15 + 409 2.296635928792e-10 2.871167426637e-12 -2.280285862419e-12 0.000000000000e+00 1.467397124019e-13 1.517476185412e-14 1.885647598190e-15 + 410 2.295808324249e-10 2.863353970329e-12 -2.521402376576e-12 0.000000000000e+00 1.455304150731e-13 1.486766418873e-14 1.874204591324e-15 + 411 2.295495258000e-10 2.855032444401e-12 -2.760366560956e-12 0.000000000000e+00 1.443339729195e-13 1.456537372003e-14 1.862656678041e-15 + 412 2.295690081601e-10 2.846206645953e-12 -2.997077555259e-12 0.000000000000e+00 1.431502208071e-13 1.426785372916e-14 1.851006210787e-15 + 413 2.296385897272e-10 2.836880530894e-12 -3.231433322089e-12 0.000000000000e+00 1.419789853702e-13 1.397506527344e-14 1.839255586196e-15 + 414 2.297575556126e-10 2.827058215043e-12 -3.463330641725e-12 0.000000000000e+00 1.408200849486e-13 1.368696716940e-14 1.827407245327e-15 + 415 2.299251656402e-10 2.816743975232e-12 -3.692665106895e-12 0.000000000000e+00 1.396733295248e-13 1.340351597573e-14 1.815463673902e-15 + 416 2.301406541698e-10 2.805942250408e-12 -3.919331117547e-12 0.000000000000e+00 1.385385206620e-13 1.312466597619e-14 1.803427402537e-15 + 417 2.304032299196e-10 2.794657642736e-12 -4.143221875621e-12 0.000000000000e+00 1.374154514404e-13 1.285036916262e-14 1.791301006984e-15 + 418 2.307120757902e-10 2.782894918702e-12 -4.364229379823e-12 0.000000000000e+00 1.363039063955e-13 1.258057521788e-14 1.779087108359e-15 + 419 2.310663486867e-10 2.770659010214e-12 -4.582244420393e-12 0.000000000000e+00 1.352036614550e-13 1.231523149882e-14 1.766788373386e-15 + 420 2.314651793430e-10 2.757955015706e-12 -4.797156573882e-12 0.000000000000e+00 1.341144838760e-13 1.205428301921e-14 1.754407514626e-15 + 421 2.319076721437e-10 2.744788201240e-12 -5.008854197921e-12 0.000000000000e+00 1.330361321828e-13 1.179767243272e-14 1.741947290714e-15 + 422 2.323929049484e-10 2.731164001605e-12 -5.217224425995e-12 0.000000000000e+00 1.319683561038e-13 1.154534001589e-14 1.729410506600e-15 + 423 2.329199289138e-10 2.717088021428e-12 -5.422153162213e-12 0.000000000000e+00 1.309108965091e-13 1.129722365107e-14 1.716800013775e-15 + 424 2.334877683177e-10 2.702566036267e-12 -5.623525076081e-12 0.000000000000e+00 1.298634853478e-13 1.105325880936e-14 1.704118710516e-15 + 425 2.340954203812e-10 2.687603993720e-12 -5.821223597275e-12 0.000000000000e+00 1.288258455854e-13 1.081337853362e-14 1.691369542118e-15 + 426 2.347418550929e-10 2.672208014524e-12 -6.015130910412e-12 0.000000000000e+00 1.277976911407e-13 1.057751342139e-14 1.678555501125e-15 + 427 2.354260973603e-10 2.656384622313e-12 -6.205142170229e-12 0.000000000000e+00 1.267787764057e-13 1.034560107124e-14 1.665679294268e-15 + 428 2.361474769062e-10 2.640141439241e-12 -6.391208690412e-12 0.000000000000e+00 1.257690467858e-13 1.011761481049e-14 1.652742330280e-15 + 429 2.369053865269e-10 2.623486516195e-12 -6.573296213849e-12 0.000000000000e+00 1.247684931576e-13 9.893535911389e-15 1.639745698104e-15 + 430 2.376992004086e-10 2.606428107522e-12 -6.751370829074e-12 0.000000000000e+00 1.237771027201e-13 9.673344205181e-15 1.626690497102e-15 + 431 2.385282740047e-10 2.588974672287e-12 -6.925398974380e-12 0.000000000000e+00 1.227948589641e-13 9.457018071316e-15 1.613577837080e-15 + 432 2.393919439126e-10 2.571134875525e-12 -7.095347441929e-12 0.000000000000e+00 1.218217416428e-13 9.244534426614e-15 1.600408838295e-15 + 433 2.402895277516e-10 2.552917589491e-12 -7.261183381859e-12 0.000000000000e+00 1.208577267409e-13 9.035868714432e-15 1.587184631478e-15 + 434 2.412203240395e-10 2.534331894914e-12 -7.422874306394e-12 0.000000000000e+00 1.199027864453e-13 8.830994893840e-15 1.573906357848e-15 + 435 2.421836120698e-10 2.515387082251e-12 -7.580388093955e-12 0.000000000000e+00 1.189568891143e-13 8.629885428797e-15 1.560575169132e-15 + 436 2.431786517892e-10 2.496092652938e-12 -7.733692993267e-12 0.000000000000e+00 1.180199992479e-13 8.432511277315e-15 1.547192227577e-15 + 437 2.442046836746e-10 2.476458320642e-12 -7.882757627473e-12 0.000000000000e+00 1.170920774576e-13 8.238841880640e-15 1.533758705972e-15 + 438 2.452609286103e-10 2.456494012516e-12 -8.027550998236e-12 0.000000000000e+00 1.161730804363e-13 8.048845152417e-15 1.520275787661e-15 + 439 2.463465877653e-10 2.436209870450e-12 -8.168042489855e-12 0.000000000000e+00 1.152629609283e-13 7.862487467868e-15 1.506744666560e-15 + 440 2.474608424701e-10 2.415616252323e-12 -8.304201873373e-12 0.000000000000e+00 1.143616676988e-13 7.679733652961e-15 1.493166547178e-15 + 441 2.486028540945e-10 2.394723733257e-12 -8.435999310682e-12 0.000000000000e+00 1.134691455045e-13 7.500546973584e-15 1.479542644628e-15 + 442 2.497717639242e-10 2.373543106871e-12 -8.563405358639e-12 0.000000000000e+00 1.125853350627e-13 7.324889124718e-15 1.465874184648e-15 + 443 2.509666930382e-10 2.352085386528e-12 -8.686390973173e-12 0.000000000000e+00 1.117101730219e-13 7.152720219607e-15 1.452162403614e-15 + 444 2.521867421862e-10 2.330361806595e-12 -8.804927513390e-12 0.000000000000e+00 1.108435919313e-13 6.983998778930e-15 1.438408548563e-15 + 445 2.534309916656e-10 2.308383823691e-12 -8.918986745689e-12 0.000000000000e+00 1.099855202106e-13 6.818681719979e-15 1.424613877203e-15 + 446 2.546985011985e-10 2.286163117938e-12 -9.028540847869e-12 0.000000000000e+00 1.091358821204e-13 6.656724345824e-15 1.410779657934e-15 + 447 2.559883098092e-10 2.263711594221e-12 -9.133562413237e-12 0.000000000000e+00 1.082945977315e-13 6.498080334491e-15 1.396907169863e-15 + 448 2.572994357012e-10 2.241041383431e-12 -9.234024454717e-12 0.000000000000e+00 1.074615828954e-13 6.342701728129e-15 1.382997702822e-15 + 449 2.586308761344e-10 2.218164843727e-12 -9.329900408964e-12 0.000000000000e+00 1.066367492136e-13 6.190538922189e-15 1.369052557383e-15 + 450 2.599816073024e-10 2.195094561780e-12 -9.421164140467e-12 0.000000000000e+00 1.058200040078e-13 6.041540654592e-15 1.355073044877e-15 + 451 2.613505842096e-10 2.171843354033e-12 -9.507789945666e-12 0.000000000000e+00 1.050112502901e-13 5.895653994900e-15 1.341060487411e-15 + 452 2.627367405483e-10 2.148424267949e-12 -9.589752557053e-12 0.000000000000e+00 1.042103867322e-13 5.752824333493e-15 1.327016217880e-15 + 453 2.641389885760e-10 2.124850583265e-12 -9.667027147288e-12 0.000000000000e+00 1.034173076359e-13 5.612995370739e-15 1.312941579991e-15 + 454 2.655562189927e-10 2.101135813245e-12 -9.739589333305e-12 0.000000000000e+00 1.026319029028e-13 5.476109106164e-15 1.298837928275e-15 + 455 2.669873008177e-10 2.077293705931e-12 -9.807415180422e-12 0.000000000000e+00 1.018540580039e-13 5.342105827630e-15 1.284706628105e-15 + 456 2.684310812672e-10 2.053338245399e-12 -9.870481206453e-12 0.000000000000e+00 1.010836539502e-13 5.210924100500e-15 1.270549055712e-15 + 457 2.698863856313e-10 2.029283653008e-12 -9.928764385813e-12 0.000000000000e+00 1.003205672618e-13 5.082500756820e-15 1.256366598204e-15 + 458 2.713520171511e-10 2.005144388654e-12 -9.982242153630e-12 0.000000000000e+00 9.956466993846e-14 4.956770884480e-15 1.242160653580e-15 + 459 2.728267568960e-10 1.980935152024e-12 -1.003089240986e-11 0.000000000000e+00 9.881582942903e-14 4.833667816396e-15 1.227932630750e-15 + 460 2.743093636409e-10 1.956670883846e-12 -1.007469352337e-11 0.000000000000e+00 9.807390860159e-14 4.713123119677e-15 1.213683949550e-15 + 461 2.757985737433e-10 1.932366767144e-12 -1.011362433611e-11 0.000000000000e+00 9.733876571331e-14 4.595066584800e-15 1.199416040757e-15 + 462 2.772931010206e-10 1.908038228489e-12 -1.014766416713e-11 0.000000000000e+00 9.661025438032e-14 4.479426214780e-15 1.185130346108e-15 + 463 2.787916366272e-10 1.883700939253e-12 -1.017679281677e-11 0.000000000000e+00 9.588822354763e-14 4.366128214345e-15 1.170828318319e-15 + 464 2.802928489316e-10 1.859370816859e-12 -1.020099057073e-11 0.000000000000e+00 9.517251745899e-14 4.255096979106e-15 1.156511421097e-15 + 465 2.817953833938e-10 1.835064026037e-12 -1.022023820420e-11 0.000000000000e+00 9.446297562685e-14 4.146255084731e-15 1.142181129160e-15 + 466 2.832980036800e-10 1.810795934600e-12 -1.023452526356e-11 0.000000000000e+00 9.375945969851e-14 4.039535918113e-15 1.127838889817e-15 + 467 2.848000201021e-10 1.786577942366e-12 -1.024387518754e-11 0.000000000000e+00 9.306193503838e-14 3.934922026597e-15 1.113486006362e-15 + 468 2.863008743036e-10 1.762420555771e-12 -1.024832097793e-11 0.000000000000e+00 9.237039163177e-14 3.832407943896e-15 1.099123751074e-15 + 469 2.877999991849e-10 1.738334425066e-12 -1.024789700145e-11 0.000000000000e+00 9.168481740344e-14 3.731987652411e-15 1.084753403322e-15 + 470 2.892968188592e-10 1.714330345004e-12 -1.024263899843e-11 0.000000000000e+00 9.100519820237e-14 3.633654579372e-15 1.070376249560e-15 + 471 2.907907486065e-10 1.690419255505e-12 -1.023258409148e-11 0.000000000000e+00 9.033151778642e-14 3.537401592980e-15 1.055993583320e-15 + 472 2.922811948297e-10 1.666612242342e-12 -1.021777079418e-11 0.000000000000e+00 8.966375780714e-14 3.443220998550e-15 1.041606705211e-15 + 473 2.937675550090e-10 1.642920537811e-12 -1.019823901973e-11 0.000000000000e+00 8.900189779444e-14 3.351104534658e-15 1.027216922912e-15 + 474 2.952492176571e-10 1.619355521410e-12 -1.017403008964e-11 0.000000000000e+00 8.834591514133e-14 3.261043369281e-15 1.012825551170e-15 + 475 2.967255622744e-10 1.595928720512e-12 -1.014518674240e-11 0.000000000000e+00 8.769578508869e-14 3.173028095942e-15 9.984339117943e-16 + 476 2.981959593040e-10 1.572651811046e-12 -1.011175314215e-11 0.000000000000e+00 8.705148070994e-14 3.087048729851e-15 9.840433336510e-16 + 477 2.996597700868e-10 1.549536618168e-12 -1.007377488735e-11 0.000000000000e+00 8.641297289582e-14 3.003094704052e-15 9.696551526608e-16 + 478 3.011163468165e-10 1.526595116941e-12 -1.003129901947e-11 0.000000000000e+00 8.578023033910e-14 2.921154865564e-15 9.552707117932e-16 + 479 3.025650324945e-10 1.503839433009e-12 -9.984374031664e-12 0.000000000000e+00 8.515321951929e-14 2.841217471524e-15 9.408913610629e-16 + 480 3.040051608854e-10 1.481281843275e-12 -9.933049877410e-12 0.000000000000e+00 8.453190468741e-14 2.763270185332e-15 9.265184575247e-16 + 481 3.054360564718e-10 1.458934776573e-12 -9.877377979225e-12 0.000000000000e+00 8.391624785069e-14 2.687300072793e-15 9.121533652697e-16 + 482 3.068570344092e-10 1.436810814351e-12 -9.817411237316e-12 0.000000000000e+00 8.330620875732e-14 2.613293598261e-15 8.977974554205e-16 + 483 3.082674004814e-10 1.414922691340e-12 -9.753204038260e-12 0.000000000000e+00 8.270174488116e-14 2.541236620782e-15 8.834521061273e-16 + 484 3.096664510553e-10 1.393283296234e-12 -9.684812263679e-12 0.000000000000e+00 8.210281140648e-14 2.471114390239e-15 8.691187025629e-16 + 485 3.110534730362e-10 1.371905672366e-12 -9.612293298911e-12 0.000000000000e+00 8.150936121268e-14 2.402911543492e-15 8.547986369187e-16 + 486 3.124277438226e-10 1.350803018384e-12 -9.535706041686e-12 0.000000000000e+00 8.092134485906e-14 2.336612100524e-15 8.404933084004e-16 + 487 3.137885312616e-10 1.329988688925e-12 -9.455110910798e-12 0.000000000000e+00 8.033871056949e-14 2.272199460584e-15 8.262041232233e-16 + 488 3.151350936035e-10 1.309476195296e-12 -9.370569854779e-12 0.000000000000e+00 7.976140421717e-14 2.209656398331e-15 8.119324946080e-16 + 489 3.164666794573e-10 1.289279206142e-12 -9.282146360575e-12 0.000000000000e+00 7.918936930938e-14 2.148965059973e-15 7.976798427762e-16 + 490 3.177825277457e-10 1.269411548132e-12 -9.189905462218e-12 0.000000000000e+00 7.862254697218e-14 2.090106959417e-15 7.834475949464e-16 + 491 3.190818676599e-10 1.249887206628e-12 -9.093913749500e-12 0.000000000000e+00 7.806087593512e-14 2.033062974408e-15 7.692371853288e-16 + 492 3.203639186148e-10 1.230720326362e-12 -8.994239376647e-12 0.000000000000e+00 7.750429251605e-14 1.977813342673e-15 7.550500551219e-16 + 493 3.216278902042e-10 1.211925212117e-12 -8.890952070992e-12 0.000000000000e+00 7.695273060576e-14 1.924337658066e-15 7.408876525075e-16 + 494 3.228729821558e-10 1.193516329396e-12 -8.784123141652e-12 0.000000000000e+00 7.640612165276e-14 1.872614866708e-15 7.267514326462e-16 + 495 3.240983842860e-10 1.175508305105e-12 -8.673825488197e-12 0.000000000000e+00 7.586439464800e-14 1.822623263135e-15 7.126428576737e-16 + 496 3.253032764554e-10 1.157915928222e-12 -8.560133609328e-12 0.000000000000e+00 7.532747610959e-14 1.774340486437e-15 6.985633966957e-16 + 497 3.264868285237e-10 1.140754150481e-12 -8.443123611547e-12 0.000000000000e+00 7.479529006756e-14 1.727743516404e-15 6.845145257838e-16 + 498 3.276482003044e-10 1.124038087043e-12 -8.322873217836e-12 0.000000000000e+00 7.426775804854e-14 1.682808669669e-15 6.704977279712e-16 + 499 3.287865415205e-10 1.107783017170e-12 -8.199461776324e-12 0.000000000000e+00 7.374479906054e-14 1.639511595849e-15 6.565144932482e-16 + 500 3.299009917592e-10 1.092004384910e-12 -8.072970268969e-12 0.000000000000e+00 7.322632957764e-14 1.597827273694e-15 6.425663185579e-16 + 501 3.309906804268e-10 1.076717799763e-12 -7.943481320223e-12 0.000000000000e+00 7.271226352476e-14 1.557730007222e-15 6.286547077916e-16 + 502 3.320547267041e-10 1.061939037364e-12 -7.811079205714e-12 0.000000000000e+00 7.220251226233e-14 1.519193421870e-15 6.147811717847e-16 + 503 3.330922395016e-10 1.047684040155e-12 -7.675849860913e-12 0.000000000000e+00 7.169698457111e-14 1.482190460635e-15 6.009472283122e-16 + 504 3.341023174138e-10 1.033968918065e-12 -7.537880889813e-12 0.000000000000e+00 7.119558663682e-14 1.446693380213e-15 5.871544020842e-16 + 505 3.350841794433e-10 1.020808062483e-12 -7.397258913990e-12 0.000000000000e+00 7.069823719565e-14 1.412676724420e-15 5.734041348775e-16 + 506 3.360375614025e-10 1.008208427056e-12 -7.254061518184e-12 0.000000000000e+00 7.020491348141e-14 1.380126346466e-15 5.596975130922e-16 + 507 3.369623308428e-10 9.961750834595e-13 -7.108365089778e-12 0.000000000000e+00 6.971560657197e-14 1.349030639000e-15 5.460355323374e-16 + 508 3.378583573362e-10 9.847130929893e-13 -6.960247464825e-12 0.000000000000e+00 6.923030634009e-14 1.319377577891e-15 5.324191865394e-16 + 509 3.387255124908e-10 9.738275063493e-13 -6.809787935477e-12 0.000000000000e+00 6.874900144531e-14 1.291154719772e-15 5.188494678948e-16 + 510 3.395636699683e-10 9.635233634432e-13 -6.657067257405e-12 0.000000000000e+00 6.827167932578e-14 1.264349199581e-15 5.053273668243e-16 + 511 3.403727054997e-10 9.538056931641e-13 -6.502167657229e-12 0.000000000000e+00 6.779832619008e-14 1.238947728101e-15 4.918538719257e-16 + 512 3.411524969022e-10 9.446795131844e-13 -6.345172839938e-12 0.000000000000e+00 6.732892700915e-14 1.214936589503e-15 4.784299699275e-16 + 513 3.419029240955e-10 9.361498297465e-13 -6.186167996321e-12 0.000000000000e+00 6.686346550805e-14 1.192301638889e-15 4.650566456423e-16 + 514 3.426238691185e-10 9.282216374523e-13 -6.025239810383e-12 0.000000000000e+00 6.640192415788e-14 1.171028299828e-15 4.517348819204e-16 + 515 3.433152161454e-10 9.208999190538e-13 -5.862476466779e-12 0.000000000000e+00 6.594428416756e-14 1.151101561904e-15 4.384656596027e-16 + 516 3.439768515024e-10 9.141896452428e-13 -5.697967658233e-12 0.000000000000e+00 6.549052547576e-14 1.132505978254e-15 4.252499574746e-16 + 517 3.446086636842e-10 9.080957744415e-13 -5.531804592964e-12 0.000000000000e+00 6.504062674269e-14 1.115225663111e-15 4.120887522195e-16 + 518 3.452105433706e-10 9.026232525922e-13 -5.364080002112e-12 0.000000000000e+00 6.459456534196e-14 1.099244289342e-15 3.989830183716e-16 + 519 3.457823834426e-10 8.977770129474e-13 -5.194888147164e-12 0.000000000000e+00 6.415231735245e-14 1.084545085995e-15 3.859337282698e-16 + 520 3.463240789990e-10 8.935619758602e-13 -5.024324827373e-12 0.000000000000e+00 6.371385755015e-14 1.071110835837e-15 3.729418520110e-16 + 521 3.468355273732e-10 8.899830485744e-13 -4.852487387192e-12 0.000000000000e+00 6.327915939998e-14 1.058923872896e-15 3.600083574037e-16 + 522 3.473166281493e-10 8.870451250143e-13 -4.679474723689e-12 0.000000000000e+00 6.284819504771e-14 1.047966080004e-15 3.471342099209e-16 + 523 3.477672831787e-10 8.847530855752e-13 -4.505387293979e-12 0.000000000000e+00 6.242093531171e-14 1.038218886335e-15 3.343203726540e-16 + 524 3.481873965967e-10 8.831117969130e-13 -4.330327122646e-12 0.000000000000e+00 6.199734967491e-14 1.029663264950e-15 3.215678062661e-16 + 525 3.485768748386e-10 8.821261117349e-13 -4.154397809169e-12 0.000000000000e+00 6.157740627657e-14 1.022279730338e-15 3.088774689452e-16 + 526 3.489356266567e-10 8.818008685893e-13 -3.977704535345e-12 0.000000000000e+00 6.116107190413e-14 1.016048335958e-15 2.962503163579e-16 + 527 3.492635631364e-10 8.821408916557e-13 -3.800354072716e-12 0.000000000000e+00 6.074831198514e-14 1.010948671775e-15 2.836873016027e-16 + 528 3.495605977127e-10 8.831509905349e-13 -3.622454789990e-12 0.000000000000e+00 6.033909057900e-14 1.006959861810e-15 2.711893751633e-16 + 529 3.498266461869e-10 8.848359600395e-13 -3.444116660473e-12 0.000000000000e+00 5.993337036888e-14 1.004060561677e-15 2.587574848621e-16 + 530 3.500616267429e-10 8.872005799835e-13 -3.265451269485e-12 0.000000000000e+00 5.953111265358e-14 1.002228956123e-15 2.463925758138e-16 + 531 3.502654599636e-10 8.902496149727e-13 -3.086571821794e-12 0.000000000000e+00 5.913227733931e-14 1.001442756573e-15 2.340955903784e-16 + 532 3.504380688476e-10 8.939878141945e-13 -2.907593149031e-12 0.000000000000e+00 5.873682293160e-14 1.001679198670e-15 2.218674681151e-16 + 533 3.505793788255e-10 8.984199112086e-13 -2.728631717123e-12 0.000000000000e+00 5.834470652714e-14 1.002915039815e-15 2.097091457352e-16 + 534 3.506893177765e-10 9.035506237366e-13 -2.549805633716e-12 0.000000000000e+00 5.795588380561e-14 1.005126556713e-15 1.976215570559e-16 + 535 3.507678160446e-10 9.093846534522e-13 -2.371234655595e-12 0.000000000000e+00 5.757030902154e-14 1.008289542907e-15 1.856056329538e-16 + 536 3.508148064556e-10 9.159266857715e-13 -2.193040196115e-12 0.000000000000e+00 5.718793499616e-14 1.012379306329e-15 1.736623013177e-16 + 537 3.508302243330e-10 9.231813896431e-13 -2.015345332623e-12 0.000000000000e+00 5.680871310925e-14 1.017370666833e-15 1.617924870028e-16 + 538 3.508140075149e-10 9.311534173378e-13 -1.838274813882e-12 0.000000000000e+00 5.643259329099e-14 1.023237953742e-15 1.499971117833e-16 + 539 3.507660963702e-10 9.398474042394e-13 -1.661955067499e-12 0.000000000000e+00 5.605952401382e-14 1.029955003387e-15 1.382770943067e-16 + 540 3.506864338151e-10 9.492679686342e-13 -1.486514207345e-12 0.000000000000e+00 5.568945228425e-14 1.037495156649e-15 1.266333500465e-16 + 541 3.505749653300e-10 9.594197115014e-13 -1.312082040985e-12 0.000000000000e+00 5.532232363476e-14 1.045831256501e-15 1.150667912559e-16 + 542 3.504316389752e-10 9.703072163034e-13 -1.138790077101e-12 0.000000000000e+00 5.495808211562e-14 1.054935645550e-15 1.035783269211e-16 + 543 3.502564054081e-10 9.819350487753e-13 -9.667715329133e-13 0.000000000000e+00 5.459667028675e-14 1.064780163574e-15 9.216886271500e-17 + 544 3.500492788459e-10 9.943062000540e-13 -7.961492930036e-13 0.000000000000e+00 5.423803816445e-14 1.075339500314e-15 8.083919032983e-17 + 545 3.498105217150e-10 1.007417370698e-12 -6.269994165438e-13 0.000000000000e+00 5.388217034135e-14 1.086601357413e-15 6.958965231586e-17 + 546 3.495404649752e-10 1.021263560057e-12 -4.593866682002e-13 0.000000000000e+00 5.352905957608e-14 1.098556553549e-15 5.842046818230e-17 + 547 3.492394476612e-10 1.035839610680e-12 -2.933764809400e-13 0.000000000000e+00 5.317869789952e-14 1.111195692690e-15 4.733184411516e-17 + 548 3.489078169237e-10 1.051140207476e-12 -1.290349585795e-13 0.000000000000e+00 5.283107661030e-14 1.124509162998e-15 3.632397288596e-17 + 549 3.485459280707e-10 1.067159876870e-12 3.357112166758e-14 0.000000000000e+00 5.248618627024e-14 1.138487135726e-15 2.539703376032e-17 + 550 3.481541446084e-10 1.083892985971e-12 1.943743066422e-13 0.000000000000e+00 5.214401669985e-14 1.153119564120e-15 1.455119240661e-17 + 551 3.477328382826e-10 1.101333741722e-12 3.533064646915e-13 0.000000000000e+00 5.180455697379e-14 1.168396182314e-15 3.786600804593e-18 + 552 3.472823891195e-10 1.119476190069e-12 5.102987831210e-13 0.000000000000e+00 5.146779541633e-14 1.184306504234e-15 -6.896602845918e-18 + 553 3.468031854672e-10 1.138314215115e-12 6.652817656461e-13 0.000000000000e+00 5.113371959687e-14 1.200839822497e-15 -1.749829421645e-17 + 554 3.462956240367e-10 1.157841538284e-12 8.181852298440e-13 0.000000000000e+00 5.080231632537e-14 1.217985207308e-15 -2.801836294122e-17 + 555 3.457601099430e-10 1.178051717479e-12 9.689383046056e-13 0.000000000000e+00 5.047357164784e-14 1.235731505362e-15 -3.845671270848e-17 + 556 3.451970567463e-10 1.198938146241e-12 1.117469427587e-12 0.000000000000e+00 5.014747084181e-14 1.254067338742e-15 -4.881326135191e-17 + 557 3.446068864931e-10 1.220494052912e-12 1.263706342663e-12 0.000000000000e+00 4.982399841181e-14 1.272981103820e-15 -5.908794094194e-17 + 558 3.439900297573e-10 1.242712499793e-12 1.407576097375e-12 0.000000000000e+00 4.950313808485e-14 1.292460970155e-15 -6.928069787714e-17 + 559 3.433469256816e-10 1.265586382306e-12 1.549005040387e-12 0.000000000000e+00 4.918487280588e-14 1.312494879393e-15 -7.939149297557e-17 + 560 3.426780220182e-10 1.289108428151e-12 1.687918818936e-12 0.000000000000e+00 4.886918473325e-14 1.333070544168e-15 -8.942030156613e-17 + 561 3.419837751704e-10 1.313271196468e-12 1.824242376283e-12 0.000000000000e+00 4.855605523424e-14 1.354175447000e-15 -9.936711357995e-17 + 562 3.412646502335e-10 1.338067076998e-12 1.957899949165e-12 0.000000000000e+00 4.824546488047e-14 1.375796839195e-15 -1.092319336417e-16 + 563 3.405211210359e-10 1.363488289239e-12 2.088815065249e-12 0.000000000000e+00 4.793739344342e-14 1.397921739744e-15 -1.190147811610e-16 + 564 3.397536701804e-10 1.389526881613e-12 2.216910540580e-12 0.000000000000e+00 4.763181988986e-14 1.420536934222e-15 -1.287156904238e-16 + 565 3.389627890852e-10 1.416174730619e-12 2.342108477035e-12 0.000000000000e+00 4.732872237737e-14 1.443628973692e-15 -1.383347106837e-16 + 566 3.381489780252e-10 1.443423539996e-12 2.464330259777e-12 0.000000000000e+00 4.702807824980e-14 1.467184173598e-15 -1.478719062532e-16 + 567 3.373127461730e-10 1.471264839886e-12 2.583496554703e-12 0.000000000000e+00 4.672986403272e-14 1.491188612670e-15 -1.573273565953e-16 + 568 3.364546116402e-10 1.499689985988e-12 2.699527305896e-12 0.000000000000e+00 4.643405542891e-14 1.515628131818e-15 -1.667011564146e-16 + 569 3.355751015182e-10 1.528690158722e-12 2.812341733080e-12 0.000000000000e+00 4.614062731386e-14 1.540488333037e-15 -1.759934157491e-16 + 570 3.346747519199e-10 1.558256362389e-12 2.921858329071e-12 0.000000000000e+00 4.584955373120e-14 1.565754578306e-15 -1.852042600608e-16 + 571 3.337541080202e-10 1.588379424329e-12 3.027994857225e-12 0.000000000000e+00 4.556080788819e-14 1.591411988482e-15 -1.943338303279e-16 + 572 3.328137240977e-10 1.619049994085e-12 3.130668348895e-12 0.000000000000e+00 4.527436215121e-14 1.617445442207e-15 -2.033822831356e-16 + 573 3.318541635756e-10 1.650258542558e-12 3.229795100879e-12 0.000000000000e+00 4.499018804122e-14 1.643839574802e-15 -2.123497907677e-16 + 574 3.308759990628e-10 1.681995361170e-12 3.325290672874e-12 0.000000000000e+00 4.470825622923e-14 1.670578777168e-15 -2.212365412978e-16 + 575 3.298798123951e-10 1.714250561024e-12 3.417069884928e-12 0.000000000000e+00 4.442853653180e-14 1.697647194688e-15 -2.300427386809e-16 + 576 3.288661946763e-10 1.747014072062e-12 3.505046814889e-12 0.000000000000e+00 4.415099790646e-14 1.725028726123e-15 -2.387686028445e-16 + 577 3.278357463195e-10 1.780275642230e-12 3.589134795861e-12 0.000000000000e+00 4.387560844724e-14 1.752707022515e-15 -2.474143697801e-16 + 578 3.267890770880e-10 1.814024836632e-12 3.669246413651e-12 0.000000000000e+00 4.360233538012e-14 1.780665486082e-15 -2.559802916347e-16 + 579 3.257268061368e-10 1.848251036693e-12 3.745293504225e-12 0.000000000000e+00 4.333114505851e-14 1.808887269123e-15 -2.644666368017e-16 + 580 3.246495620531e-10 1.882943439319e-12 3.817187151160e-12 0.000000000000e+00 4.306200295871e-14 1.837355272914e-15 -2.728736900128e-16 + 581 3.235579828984e-10 1.918091056059e-12 3.884837683091e-12 0.000000000000e+00 4.279487367541e-14 1.866052146607e-15 -2.812017524291e-16 + 582 3.224527162487e-10 1.953682712259e-12 3.948154671167e-12 0.000000000000e+00 4.252972091712e-14 1.894960286132e-15 -2.894511417323e-16 + 583 3.213343937329e-10 1.989706901393e-12 4.007061046210e-12 0.000000000000e+00 4.226651295831e-14 1.924064060263e-15 -2.976220027896e-16 + 584 3.202035538646e-10 2.026151345736e-12 4.061535842789e-12 0.000000000000e+00 4.200523915448e-14 1.953356552137e-15 -3.057137342650e-16 + 585 3.190607173635e-10 2.063003423055e-12 4.111572517927e-12 0.000000000000e+00 4.174589383066e-14 1.982832983977e-15 -3.137255478643e-16 + 586 3.179064125165e-10 2.100250309560e-12 4.157164930450e-12 0.000000000000e+00 4.148847085963e-14 2.012488504846e-15 -3.216566564899e-16 + 587 3.167411752099e-10 2.137878979018e-12 4.198307343412e-12 0.000000000000e+00 4.123296365921e-14 2.042318190336e-15 -3.295062742654e-16 + 588 3.155655489614e-10 2.175876201856e-12 4.234994426528e-12 0.000000000000e+00 4.097936518975e-14 2.072317042251e-15 -3.372736165604e-16 + 589 3.143800849522e-10 2.214228544274e-12 4.267221258597e-12 0.000000000000e+00 4.072766795146e-14 2.102479988291e-15 -3.449579000151e-16 + 590 3.131853420594e-10 2.252922367354e-12 4.294983329936e-12 0.000000000000e+00 4.047786398185e-14 2.132801881736e-15 -3.525583425647e-16 + 591 3.119818868880e-10 2.291943826166e-12 4.318276544802e-12 0.000000000000e+00 4.022994485311e-14 2.163277501134e-15 -3.600741634641e-16 + 592 3.107702938029e-10 2.331278868881e-12 4.337097223828e-12 0.000000000000e+00 3.998390166949e-14 2.193901549980e-15 -3.675045833124e-16 + 593 3.095511449615e-10 2.370913235878e-12 4.351442106445e-12 0.000000000000e+00 3.973972506475e-14 2.224668656405e-15 -3.748488240778e-16 + 594 3.083250303454e-10 2.410832458850e-12 4.361308353311e-12 0.000000000000e+00 3.949740519950e-14 2.255573372859e-15 -3.821061091218e-16 + 595 3.070925477927e-10 2.451021859920e-12 4.366693548745e-12 0.000000000000e+00 3.925693175861e-14 2.286610175795e-15 -3.892756632241e-16 + 596 3.058543030303e-10 2.491466550744e-12 4.367595703146e-12 0.000000000000e+00 3.901829394865e-14 2.317773465355e-15 -3.963567126070e-16 + 597 3.046109097060e-10 2.532151431622e-12 4.364013255432e-12 0.000000000000e+00 3.878148049522e-14 2.349057565053e-15 -4.033484849601e-16 + 598 3.033629894204e-10 2.573061190608e-12 4.355945075460e-12 0.000000000000e+00 3.854647964042e-14 2.380456721459e-15 -4.102502094649e-16 + 599 3.021111717593e-10 2.614180302616e-12 4.343390466456e-12 0.000000000000e+00 3.831327914017e-14 2.411965103886e-15 -4.170611168193e-16 + 600 3.008560943259e-10 2.655493028534e-12 4.326349167447e-12 0.000000000000e+00 3.808186626167e-14 2.443576804073e-15 -4.237804392624e-16 + 601 2.995984027729e-10 2.696983414329e-12 4.304821355686e-12 0.000000000000e+00 3.785222778077e-14 2.475285835868e-15 -4.304074105988e-16 + 602 2.983387508345e-10 2.738635290155e-12 4.278807649082e-12 0.000000000000e+00 3.762434997937e-14 2.507086134917e-15 -4.369412662234e-16 + 603 2.970778003587e-10 2.780432269466e-12 4.248309108626e-12 0.000000000000e+00 3.739821864282e-14 2.538971558343e-15 -4.433812431461e-16 + 604 2.958162213393e-10 2.822357748125e-12 4.213327240823e-12 0.000000000000e+00 3.717381905731e-14 2.570935884435e-15 -4.497265800161e-16 + 605 2.945546919485e-10 2.864394903507e-12 4.173864000117e-12 0.000000000000e+00 3.695113600728e-14 2.602972812329e-15 -4.559765171466e-16 + 606 2.932938985685e-10 2.906526693615e-12 4.129921791320e-12 0.000000000000e+00 3.673015377280e-14 2.635075961695e-15 -4.621302965396e-16 + 607 2.920345358239e-10 2.948735856185e-12 4.081503472043e-12 0.000000000000e+00 3.651085612699e-14 2.667238872421e-15 -4.681871619102e-16 + 608 2.907773066138e-10 2.991004907798e-12 4.028612355121e-12 0.000000000000e+00 3.629322633340e-14 2.699455004298e-15 -4.741463587116e-16 + 609 2.895229221442e-10 3.033316142983e-12 3.971252211043e-12 0.000000000000e+00 3.607724714340e-14 2.731717736703e-15 -4.800071341591e-16 + 610 2.882721019597e-10 3.075651633335e-12 3.909427270380e-12 0.000000000000e+00 3.586290079360e-14 2.764020368282e-15 -4.857687372551e-16 + 611 2.870255739762e-10 3.117993226616e-12 3.843142226212e-12 0.000000000000e+00 3.565016900324e-14 2.796356116641e-15 -4.914304188139e-16 + 612 2.857840745124e-10 3.160322545868e-12 3.772402236561e-12 0.000000000000e+00 3.543903297157e-14 2.828718118023e-15 -4.969914314857e-16 + 613 2.845483483227e-10 3.202620988522e-12 3.697212926813e-12 0.000000000000e+00 3.522947337528e-14 2.861099426997e-15 -5.024510297817e-16 + 614 2.833191486286e-10 3.244869725506e-12 3.617580392150e-12 0.000000000000e+00 3.502147036585e-14 2.893493016142e-15 -5.078084700985e-16 + 615 2.820972371514e-10 3.287049700353e-12 3.533511199980e-12 0.000000000000e+00 3.481500356701e-14 2.925891775731e-15 -5.130630107426e-16 + 616 2.808833841444e-10 3.329141628312e-12 3.445012392359e-12 0.000000000000e+00 3.461005207207e-14 2.958288513413e-15 -5.182139119552e-16 + 617 2.796783684244e-10 3.371125995456e-12 3.352091488427e-12 0.000000000000e+00 3.440659444137e-14 2.990675953903e-15 -5.232604359368e-16 + 618 2.784829774046e-10 3.412983057793e-12 3.254756486831e-12 0.000000000000e+00 3.420460869965e-14 3.023046738661e-15 -5.282018468716e-16 + 619 2.772980071263e-10 3.454692840370e-12 3.153015868155e-12 0.000000000000e+00 3.400407233345e-14 3.055393425581e-15 -5.330374109521e-16 + 620 2.761242622913e-10 3.496235136388e-12 3.046878597350e-12 0.000000000000e+00 3.380496228851e-14 3.087708488671e-15 -5.377663964040e-16 + 621 2.749625562938e-10 3.537589506307e-12 2.936354126159e-12 0.000000000000e+00 3.360725496719e-14 3.119984317742e-15 -5.423880735104e-16 + 622 2.738136290960e-10 3.578736778738e-12 2.821460088884e-12 0.000000000000e+00 3.341092965342e-14 3.152213395474e-15 -5.469019825079e-16 + 623 2.726778986760e-10 3.619663593528e-12 2.702245582722e-12 0.000000000000e+00 3.321597888113e-14 3.184388833814e-15 -5.513087441148e-16 + 624 2.715557038208e-10 3.660357963339e-12 2.578768437578e-12 0.000000000000e+00 3.302239830361e-14 3.216503849520e-15 -5.556092680383e-16 + 625 2.704473857631e-10 3.700807781071e-12 2.451087576900e-12 0.000000000000e+00 3.283018328629e-14 3.248551587655e-15 -5.598044869294e-16 + 626 2.693532881876e-10 3.741000819440e-12 2.319263022486e-12 0.000000000000e+00 3.263932890528e-14 3.280525121326e-15 -5.638953564905e-16 + 627 2.682737572378e-10 3.780924730551e-12 2.183355899296e-12 0.000000000000e+00 3.244982994577e-14 3.312417451424e-15 -5.678828555831e-16 + 628 2.672091415230e-10 3.820567045471e-12 2.043428440263e-12 0.000000000000e+00 3.226168090053e-14 3.344221506363e-15 -5.717679863349e-16 + 629 2.661597921247e-10 3.859915173803e-12 1.899543991102e-12 0.000000000000e+00 3.207487596832e-14 3.375930141819e-15 -5.755517742479e-16 + 630 2.651260626037e-10 3.898956403264e-12 1.751767015126e-12 0.000000000000e+00 3.188940905239e-14 3.407536140471e-15 -5.792352683055e-16 + 631 2.641083090061e-10 3.937677899252e-12 1.600163098050e-12 0.000000000000e+00 3.170527375893e-14 3.439032211737e-15 -5.828195410803e-16 + 632 2.631068898708e-10 3.976066704426e-12 1.444798952805e-12 0.000000000000e+00 3.152246339552e-14 3.470410991520e-15 -5.863056888417e-16 + 633 2.621221662357e-10 4.014109738278e-12 1.285742424349e-12 0.000000000000e+00 3.134097096959e-14 3.501665041940e-15 -5.896948316631e-16 + 634 2.611545016448e-10 4.051793796707e-12 1.123062494479e-12 0.000000000000e+00 3.116078918689e-14 3.532786851076e-15 -5.929881135299e-16 + 635 2.602042621544e-10 4.089105551593e-12 9.568292866364e-13 0.000000000000e+00 3.098191044992e-14 3.563768832711e-15 -5.961867024467e-16 + 636 2.592718163404e-10 4.126031550372e-12 7.871140707249e-13 0.000000000000e+00 3.080432685643e-14 3.594603326061e-15 -5.992917905450e-16 + 637 2.583575353046e-10 4.162558215609e-12 6.139892679159e-13 0.000000000000e+00 3.062803019784e-14 3.625282595523e-15 -6.023045941907e-16 + 638 2.574617926814e-10 4.198671844571e-12 4.375284554619e-13 0.000000000000e+00 3.045301195774e-14 3.655798830413e-15 -6.052263540918e-16 + 639 2.565849646449e-10 4.234358608804e-12 2.578063715061e-13 0.000000000000e+00 3.027926331029e-14 3.686144144701e-15 -6.080583354056e-16 + 640 2.557274299152e-10 4.269604553706e-12 7.489891989382e-14 0.000000000000e+00 3.010677511875e-14 3.716310576754e-15 -6.108018278468e-16 + 641 2.548895697653e-10 4.304395598099e-12 -1.111168250171e-13 0.000000000000e+00 2.993553793388e-14 3.746290089077e-15 -6.134581457944e-16 + 642 2.540717680279e-10 4.338717533806e-12 -3.001626135454e-13 0.000000000000e+00 2.976554199242e-14 3.776074568048e-15 -6.160286283997e-16 + 643 2.532744111018e-10 4.372556025223e-12 -4.921590158758e-13 0.000000000000e+00 2.959677721555e-14 3.805655823661e-15 -6.185146396939e-16 + 644 2.524978879590e-10 4.405896608895e-12 -6.870254172480e-13 0.000000000000e+00 2.942923320736e-14 3.835025589264e-15 -6.209175686951e-16 + 645 2.517425901512e-10 4.438724693088e-12 -8.846800131461e-13 0.000000000000e+00 2.926289925328e-14 3.864175521299e-15 -6.232388295166e-16 + 646 2.510089118163e-10 4.471025557362e-12 -1.085039804488e-12 0.000000000000e+00 2.909776431858e-14 3.893097199041e-15 -6.254798614737e-16 + 647 2.502972496857e-10 4.502784352152e-12 -1.288020592814e-12 0.000000000000e+00 2.893381704677e-14 3.921782124337e-15 -6.276421291919e-16 + 648 2.496080030906e-10 4.533986098332e-12 -1.493536975476e-12 0.000000000000e+00 2.877104575811e-14 3.950221721347e-15 -6.297271227141e-16 + 649 2.489415739684e-10 4.564615686797e-12 -1.701502340829e-12 0.000000000000e+00 2.860943844807e-14 3.978407336282e-15 -6.317363576082e-16 + 650 2.482983668704e-10 4.594657878034e-12 -1.911828863418e-12 0.000000000000e+00 2.844898278573e-14 4.006330237143e-15 -6.336713750746e-16 + 651 2.476787889674e-10 4.624097301695e-12 -2.124427499166e-12 0.000000000000e+00 2.828966611232e-14 4.033981613463e-15 -6.355337420539e-16 + 652 2.470832500571e-10 4.652918456174e-12 -2.339207980566e-12 0.000000000000e+00 2.813147543960e-14 4.061352576044e-15 -6.373250513343e-16 + 653 2.465121625707e-10 4.681105708179e-12 -2.556078811872e-12 0.000000000000e+00 2.797439744838e-14 4.088434156698e-15 -6.390469216592e-16 + 654 2.459659415794e-10 4.708643292306e-12 -2.774947264280e-12 0.000000000000e+00 2.781841848695e-14 4.115217307986e-15 -6.407009978349e-16 + 655 2.454450048014e-10 4.735515310614e-12 -2.995719371128e-12 0.000000000000e+00 2.766352456953e-14 4.141692902954e-15 -6.422889508378e-16 + 656 2.449497726084e-10 4.761705732199e-12 -3.218299923078e-12 0.000000000000e+00 2.750970137476e-14 4.167851734880e-15 -6.438124779223e-16 + 657 2.444806680323e-10 4.787198392766e-12 -3.442592463307e-12 0.000000000000e+00 2.735693424414e-14 4.193684517006e-15 -6.452733027282e-16 + 658 2.440381167722e-10 4.811976994207e-12 -3.668499282696e-12 0.000000000000e+00 2.720520818048e-14 4.219181882283e-15 -6.466731753883e-16 + 659 2.436225472006e-10 4.836025104173e-12 -3.895921415020e-12 0.000000000000e+00 2.705450784636e-14 4.244334383106e-15 -6.480138726357e-16 + 660 2.432343903708e-10 4.859326155645e-12 -4.124758632139e-12 0.000000000000e+00 2.690481756261e-14 4.269132491056e-15 -6.492971979117e-16 + 661 2.428739982408e-10 4.881865746293e-12 -4.354912645300e-12 0.000000000000e+00 2.675612351080e-14 4.293568464950e-15 -6.505244952188e-16 + 662 2.425413963548e-10 4.903638593054e-12 -4.586296796280e-12 0.000000000000e+00 2.660842039711e-14 4.317642000743e-15 -6.516951786944e-16 + 663 2.422365257216e-10 4.924641730068e-12 -4.818826570439e-12 0.000000000000e+00 2.646170493236e-14 4.341354705698e-15 -6.528081708240e-16 + 664 2.419593240868e-10 4.944872222994e-12 -5.052416406027e-12 0.000000000000e+00 2.631597364034e-14 4.364708241613e-15 -6.538623857346e-16 + 665 2.417097259177e-10 4.964327169208e-12 -5.286979690251e-12 0.000000000000e+00 2.617122285688e-14 4.387704325069e-15 -6.548567291682e-16 + 666 2.414876623869e-10 4.983003698013e-12 -5.522428755347e-12 0.000000000000e+00 2.602744872888e-14 4.410344727683e-15 -6.557900984565e-16 + 667 2.412930613574e-10 5.000898970843e-12 -5.758674874645e-12 0.000000000000e+00 2.588464721344e-14 4.432631276358e-15 -6.566613824946e-16 + 668 2.411258473659e-10 5.018010181466e-12 -5.995628258640e-12 0.000000000000e+00 2.574281407683e-14 4.454565853540e-15 -6.574694617158e-16 + 669 2.409859416080e-10 5.034334556188e-12 -6.233198051060e-12 0.000000000000e+00 2.560194489364e-14 4.476150397463e-15 -6.582132080655e-16 + 670 2.408732619219e-10 5.049869354062e-12 -6.471292324932e-12 0.000000000000e+00 2.546203504580e-14 4.497386902405e-15 -6.588914849752e-16 + 671 2.407877227730e-10 5.064611867088e-12 -6.709818078655e-12 0.000000000000e+00 2.532307972163e-14 4.518277418939e-15 -6.595031473371e-16 + 672 2.407292352380e-10 5.078559420422e-12 -6.948681232064e-12 0.000000000000e+00 2.518507391495e-14 4.538824054185e-15 -6.600470414780e-16 + 673 2.406977069892e-10 5.091709372576e-12 -7.187786622502e-12 0.000000000000e+00 2.504801242410e-14 4.559028972059e-15 -6.605220051337e-16 + 674 2.406930422790e-10 5.104059115627e-12 -7.427038000885e-12 0.000000000000e+00 2.491188985102e-14 4.578894393532e-15 -6.609268674230e-16 + 675 2.407151419239e-10 5.115606075420e-12 -7.666338027774e-12 0.000000000000e+00 2.477670060031e-14 4.598422596871e-15 -6.612604488221e-16 + 676 2.407639032889e-10 5.126347711771e-12 -7.905588269442e-12 0.000000000000e+00 2.464243887832e-14 4.617615917903e-15 -6.615215611388e-16 + 677 2.408392202718e-10 5.136281518676e-12 -8.144689193940e-12 0.000000000000e+00 2.450909869215e-14 4.636476750255e-15 -6.617090074864e-16 + 678 2.409409832876e-10 5.145405024512e-12 -8.383540167171e-12 0.000000000000e+00 2.437667384879e-14 4.655007545616e-15 -6.618215822582e-16 + 679 2.410690792525e-10 5.153715792244e-12 -8.622039448952e-12 0.000000000000e+00 2.424515795410e-14 4.673210813982e-15 -6.618580711018e-16 + 680 2.412233915684e-10 5.161211419627e-12 -8.860084189088e-12 0.000000000000e+00 2.411454441197e-14 4.691089123909e-15 -6.618172508928e-16 + 681 2.414038001071e-10 5.167889539414e-12 -9.097570423437e-12 0.000000000000e+00 2.398482642329e-14 4.708645102768e-15 -6.616978897097e-16 + 682 2.416101811949e-10 5.173747819559e-12 -9.334393069981e-12 0.000000000000e+00 2.385599698506e-14 4.725881436995e-15 -6.614987468074e-16 + 683 2.418424075961e-10 5.178783963422e-12 -9.570445924892e-12 0.000000000000e+00 2.372804888947e-14 4.742800872339e-15 -6.612185725918e-16 + 684 2.421003484982e-10 5.182995709974e-12 -9.805621658601e-12 0.000000000000e+00 2.360097472292e-14 4.759406214122e-15 -6.608561085941e-16 + 685 2.423838694957e-10 5.186380834001e-12 -1.003981181187e-11 0.000000000000e+00 2.347476686511e-14 4.775700327481e-15 -6.604100874446e-16 + 686 2.426928325743e-10 5.188937146309e-12 -1.027290679185e-11 0.000000000000e+00 2.334941748809e-14 4.791686137630e-15 -6.598792328474e-16 + 687 2.430270960955e-10 5.190662493931e-12 -1.050479586817e-11 0.000000000000e+00 2.322491855534e-14 4.807366630103e-15 -6.592622595539e-16 + 688 2.433865147807e-10 5.191554760327e-12 -1.073536716898e-11 0.000000000000e+00 2.310126182081e-14 4.822744851011e-15 -6.585578733380e-16 + 689 2.437709396955e-10 5.191611865594e-12 -1.096450767703e-11 0.000000000000e+00 2.297843882800e-14 4.837823907292e-15 -6.577647709692e-16 + 690 2.441802182340e-10 5.190831766667e-12 -1.119210322576e-11 0.000000000000e+00 2.285644090902e-14 4.852606966962e-15 -6.568816401876e-16 + 691 2.446141941030e-10 5.189212457525e-12 -1.141803849533e-11 0.000000000000e+00 2.273525918367e-14 4.867097259371e-15 -6.559071596779e-16 + 692 2.450727073066e-10 5.186751969396e-12 -1.164219700872e-11 0.000000000000e+00 2.261488455844e-14 4.881298075447e-15 -6.548399990433e-16 + 693 2.455555941301e-10 5.183448370962e-12 -1.186446112777e-11 0.000000000000e+00 2.249530772567e-14 4.895212767957e-15 -6.536788187802e-16 + 694 2.460626871245e-10 5.179299768563e-12 -1.208471204927e-11 0.000000000000e+00 2.237651916252e-14 4.908844751753e-15 -6.524222702520e-16 + 695 2.465938150906e-10 5.174304306400e-12 -1.230282980104e-11 0.000000000000e+00 2.225850913010e-14 4.922197504022e-15 -6.510689956634e-16 + 696 2.471488030635e-10 5.168460166746e-12 -1.251869323795e-11 0.000000000000e+00 2.214126767248e-14 4.935274564546e-15 -6.496176280347e-16 + 697 2.477274722970e-10 5.161765570143e-12 -1.273218003806e-11 0.000000000000e+00 2.202478461582e-14 4.948079535945e-15 -6.480667911761e-16 + 698 2.483296402473e-10 5.154218775611e-12 -1.294316669860e-11 0.000000000000e+00 2.190904956736e-14 4.960616083933e-15 -6.464150996613e-16 + 699 2.489551205580e-10 5.145818080853e-12 -1.315152853213e-11 0.000000000000e+00 2.179405191452e-14 4.972887937571e-15 -6.446611588027e-16 + 700 2.496036900834e-10 5.136563501412e-12 -1.335715154568e-11 0.000000000000e+00 2.167978227120e-14 4.984898140468e-15 -6.428041395316e-16 + 701 2.502749892388e-10 5.126461846113e-12 -1.355996835790e-11 0.000000000000e+00 2.156623685148e-14 4.996646786764e-15 -6.408455162344e-16 + 702 2.509686195431e-10 5.115521747750e-12 -1.375992302229e-11 0.000000000000e+00 2.145341318520e-14 5.008133238486e-15 -6.387873650654e-16 + 703 2.516841763684e-10 5.103751994322e-12 -1.395695921086e-11 0.000000000000e+00 2.134130867832e-14 5.019356870395e-15 -6.366317924330e-16 + 704 2.524212489156e-10 5.091161529645e-12 -1.415102021304e-11 0.000000000000e+00 2.122992061240e-14 5.030317070053e-15 -6.343809351142e-16 + 705 2.531794201910e-10 5.077759453972e-12 -1.434204893469e-11 0.000000000000e+00 2.111924614398e-14 5.041013237891e-15 -6.320369603698e-16 + 706 2.539582669821e-10 5.063555024606e-12 -1.452998789708e-11 0.000000000000e+00 2.100928230404e-14 5.051444787280e-15 -6.296020660586e-16 + 707 2.547573598343e-10 5.048557656515e-12 -1.471477923583e-11 0.000000000000e+00 2.090002599735e-14 5.061611144596e-15 -6.270784807528e-16 + 708 2.555762630269e-10 5.032776922947e-12 -1.489636469992e-11 0.000000000000e+00 2.079147400197e-14 5.071511749293e-15 -6.244684638526e-16 + 709 2.564145345493e-10 5.016222556046e-12 -1.507468565064e-11 0.000000000000e+00 2.068362296859e-14 5.081146053969e-15 -6.217743057006e-16 + 710 2.572717260772e-10 4.998904447469e-12 -1.524968306058e-11 0.000000000000e+00 2.057646941999e-14 5.090513524436e-15 -6.189983276973e-16 + 711 2.581473829489e-10 4.980832648999e-12 -1.542129751259e-11 0.000000000000e+00 2.047000975046e-14 5.099613639784e-15 -6.161428824154e-16 + 712 2.590410441416e-10 4.962017373161e-12 -1.558946919878e-11 0.000000000000e+00 2.036424022520e-14 5.108445892459e-15 -6.132103537145e-16 + 713 2.599522422475e-10 4.942468993836e-12 -1.575413791946e-11 0.000000000000e+00 2.025915697972e-14 5.117009788321e-15 -6.102031568565e-16 + 714 2.608805034500e-10 4.922198046881e-12 -1.591524308214e-11 0.000000000000e+00 2.015475601931e-14 5.125304846721e-15 -6.071237386196e-16 + 715 2.618253475000e-10 4.901215230738e-12 -1.607272370051e-11 0.000000000000e+00 2.005103321841e-14 5.133330600564e-15 -6.039745774139e-16 + 716 2.627862876922e-10 4.879531407053e-12 -1.622651839336e-11 0.000000000000e+00 1.994798432003e-14 5.141086596381e-15 -6.007581833954e-16 + 717 2.637628308411e-10 4.857157601293e-12 -1.637656538365e-11 0.000000000000e+00 1.984560493522e-14 5.148572394396e-15 -5.974770985815e-16 + 718 2.647544772575e-10 4.834105003357e-12 -1.652280249738e-11 0.000000000000e+00 1.974389054240e-14 5.155787568597e-15 -5.941338969654e-16 + 719 2.657607207244e-10 4.810384968193e-12 -1.666516716265e-11 0.000000000000e+00 1.964283648686e-14 5.162731706799e-15 -5.907311846308e-16 + 720 2.667810484737e-10 4.786009016415e-12 -1.680359640858e-11 0.000000000000e+00 1.954243798011e-14 5.169404410720e-15 -5.872715998670e-16 + 721 2.678149411618e-10 4.760988834917e-12 -1.693802686432e-11 0.000000000000e+00 1.944269009935e-14 5.175805296045e-15 -5.837578132837e-16 + 722 2.688618728465e-10 4.735336277488e-12 -1.706839475798e-11 0.000000000000e+00 1.934358778687e-14 5.181933992493e-15 -5.801925279255e-16 + 723 2.699213109625e-10 4.709063365428e-12 -1.719463591566e-11 0.000000000000e+00 1.924512584943e-14 5.187790143892e-15 -5.765784793867e-16 + 724 2.709927162983e-10 4.682182288163e-12 -1.731668576039e-11 0.000000000000e+00 1.914729895774e-14 5.193373408242e-15 -5.729184359266e-16 + 725 2.720755429720e-10 4.654705403860e-12 -1.743447931110e-11 0.000000000000e+00 1.905010164584e-14 5.198683457786e-15 -5.692151985836e-16 + 726 2.731692384079e-10 4.626645240043e-12 -1.754795118162e-11 0.000000000000e+00 1.895352831051e-14 5.203719979078e-15 -5.654716012907e-16 + 727 2.742732433120e-10 4.598014494209e-12 -1.765703557962e-11 0.000000000000e+00 1.885757321070e-14 5.208482673050e-15 -5.616905109895e-16 + 728 2.753869916492e-10 4.568826034442e-12 -1.776166630564e-11 0.000000000000e+00 1.876223046697e-14 5.212971255086e-15 -5.578748277457e-16 + 729 2.765099106188e-10 4.539092900027e-12 -1.786177675198e-11 0.000000000000e+00 1.866749406086e-14 5.217185455085e-15 -5.540274848637e-16 + 730 2.776414206309e-10 4.508828302070e-12 -1.795729990178e-11 0.000000000000e+00 1.857335783433e-14 5.221125017530e-15 -5.501514490009e-16 + 731 2.787809352829e-10 4.478045624108e-12 -1.804816832789e-11 0.000000000000e+00 1.847981548920e-14 5.224789701562e-15 -5.462497202834e-16 + 732 2.799278613354e-10 4.446758422728e-12 -1.813431419192e-11 0.000000000000e+00 1.838686058653e-14 5.228179281041e-15 -5.423253324199e-16 + 733 2.810815986884e-10 4.414980428182e-12 -1.821566924317e-11 0.000000000000e+00 1.829448654605e-14 5.231293544621e-15 -5.383813528171e-16 + 734 2.822415403578e-10 4.382725544998e-12 -1.829216481765e-11 0.000000000000e+00 1.820268664557e-14 5.234132295815e-15 -5.344208826942e-16 + 735 2.834070724515e-10 4.350007852603e-12 -1.836373183698e-11 0.000000000000e+00 1.811145402044e-14 5.236695353065e-15 -5.304470571979e-16 + 736 2.845775741456e-10 4.316841605931e-12 -1.843030080746e-11 0.000000000000e+00 1.802078166290e-14 5.238982549812e-15 -5.264630455169e-16 + 737 2.857524176605e-10 4.283241236043e-12 -1.849180181896e-11 0.000000000000e+00 1.793066242154e-14 5.240993734560e-15 -5.224720509970e-16 + 738 2.869309682375e-10 4.249221350740e-12 -1.854816454394e-11 0.000000000000e+00 1.784108900071e-14 5.242728770950e-15 -5.184773112556e-16 + 739 2.881126149127e-10 4.214796712400e-12 -1.859933141505e-11 0.000000000000e+00 1.775205492721e-14 5.244187347343e-15 -5.144814520579e-16 + 740 2.892968635543e-10 4.179982169758e-12 -1.864529744523e-11 0.000000000000e+00 1.766355747255e-14 5.245368401322e-15 -5.104845347224e-16 + 741 2.904832456147e-10 4.144792725999e-12 -1.868607119154e-11 0.000000000000e+00 1.757559478720e-14 5.246270683965e-15 -5.064859704038e-16 + 742 2.916712874820e-10 4.109243562021e-12 -1.872166164952e-11 0.000000000000e+00 1.748816493818e-14 5.246892949333e-15 -5.024851628145e-16 + 743 2.928605104623e-10 4.073350037050e-12 -1.875207825511e-11 0.000000000000e+00 1.740126590871e-14 5.247233954490e-15 -4.984815081971e-16 + 744 2.940504307633e-10 4.037127689247e-12 -1.877733088647e-11 0.000000000000e+00 1.731489559780e-14 5.247292459530e-15 -4.944743952980e-16 + 745 2.952405594772e-10 4.000592236320e-12 -1.879742986589e-11 0.000000000000e+00 1.722905181991e-14 5.247067227609e-15 -4.904632053397e-16 + 746 2.964304025634e-10 3.963759576134e-12 -1.881238596164e-11 0.000000000000e+00 1.714373230454e-14 5.246557024967e-15 -4.864473119942e-16 + 747 2.976194608318e-10 3.926645787320e-12 -1.882221038982e-11 0.000000000000e+00 1.705893469593e-14 5.245760620957e-15 -4.824260813561e-16 + 748 2.988072299253e-10 3.889267129887e-12 -1.882691481625e-11 0.000000000000e+00 1.697465655261e-14 5.244676788070e-15 -4.783988719151e-16 + 749 2.999932003036e-10 3.851640045834e-12 -1.882651135832e-11 0.000000000000e+00 1.689089534707e-14 5.243304301966e-15 -4.743650345296e-16 + 750 3.011768572253e-10 3.813781159754e-12 -1.882101258687e-11 0.000000000000e+00 1.680764846541e-14 5.241641941494e-15 -4.703239123992e-16 + 751 3.023576807316e-10 3.775707279452e-12 -1.881043152803e-11 0.000000000000e+00 1.672491320691e-14 5.239688488725e-15 -4.662748410377e-16 + 752 3.035351456286e-10 3.737435396551e-12 -1.879478166513e-11 0.000000000000e+00 1.664268678371e-14 5.237442728978e-15 -4.622171482466e-16 + 753 3.047087214710e-10 3.698982687101e-12 -1.877407694053e-11 0.000000000000e+00 1.656096632042e-14 5.234903450842e-15 -4.581501540874e-16 + 754 3.058778725445e-10 3.660366512196e-12 -1.874833175750e-11 0.000000000000e+00 1.647974885374e-14 5.232069446208e-15 -4.540731708551e-16 + 755 3.070420578491e-10 3.621604418575e-12 -1.871756098207e-11 0.000000000000e+00 1.639903133213e-14 5.228939510295e-15 -4.499855030511e-16 + 756 3.082007310821e-10 3.582714139240e-12 -1.868177994494e-11 0.000000000000e+00 1.631881061537e-14 5.225512441675e-15 -4.458864473557e-16 + 757 3.093533406208e-10 3.543713594063e-12 -1.864100444329e-11 0.000000000000e+00 1.623908347425e-14 5.221787042300e-15 -4.417752926019e-16 + 758 3.104993295058e-10 3.504620890396e-12 -1.859525074268e-11 0.000000000000e+00 1.615984659019e-14 5.217762117530e-15 -4.376513197478e-16 + 759 3.116381354238e-10 3.465454323684e-12 -1.854453557891e-11 0.000000000000e+00 1.608109655483e-14 5.213436476160e-15 -4.335138018497e-16 + 760 3.127691906905e-10 3.426232378072e-12 -1.848887615990e-11 0.000000000000e+00 1.600282986971e-14 5.208808930445e-15 -4.293620040351e-16 + 761 3.138919222340e-10 3.386973727016e-12 -1.842829016753e-11 0.000000000000e+00 1.592504294586e-14 5.203878296130e-15 -4.251951834759e-16 + 762 3.150057515773e-10 3.347697233897e-12 -1.836279575950e-11 0.000000000000e+00 1.584773210345e-14 5.198643392473e-15 -4.210125893612e-16 + 763 3.161100948214e-10 3.308421952626e-12 -1.829241157125e-11 0.000000000000e+00 1.577089357142e-14 5.193103042274e-15 -4.168134628700e-16 + 764 3.172043626286e-10 3.269167128259e-12 -1.821715671776e-11 0.000000000000e+00 1.569452348710e-14 5.187256071902e-15 -4.125970371449e-16 + 765 3.182879602051e-10 3.229952197602e-12 -1.813705079548e-11 0.000000000000e+00 1.561861789585e-14 5.181101311321e-15 -4.083625372644e-16 + 766 3.193602872841e-10 3.190796789828e-12 -1.805211388413e-11 0.000000000000e+00 1.554317275065e-14 5.174637594117e-15 -4.041091802162e-16 + 767 3.204207381090e-10 3.151720727083e-12 -1.796236654861e-11 0.000000000000e+00 1.546818391181e-14 5.167863757526e-15 -3.998361748702e-16 + 768 3.214687014159e-10 3.112744025094e-12 -1.786782984088e-11 0.000000000000e+00 1.539364714652e-14 5.160778642458e-15 -3.955427219514e-16 + 769 3.225035604172e-10 3.073886893788e-12 -1.776852530177e-11 0.000000000000e+00 1.531955812851e-14 5.153381093528e-15 -3.912280140129e-16 + 770 3.235246927840e-10 3.035169737892e-12 -1.766447496289e-11 0.000000000000e+00 1.524591243770e-14 5.145669959078e-15 -3.868912354091e-16 + 771 3.245314706296e-10 2.996613157551e-12 -1.755570134850e-11 0.000000000000e+00 1.517270555978e-14 5.137644091207e-15 -3.825315622681e-16 + 772 3.255232604918e-10 2.958237948934e-12 -1.744222747734e-11 0.000000000000e+00 1.509993288589e-14 5.129302345799e-15 -3.781481624654e-16 + 773 3.264994233169e-10 2.920065104848e-12 -1.732407686453e-11 0.000000000000e+00 1.502758971222e-14 5.120643582546e-15 -3.737401955965e-16 + 774 3.274593144416e-10 2.882115815344e-12 -1.720127352343e-11 0.000000000000e+00 1.495567123965e-14 5.111666664977e-15 -3.693068129499e-16 + 775 3.284022835766e-10 2.844411468331e-12 -1.707384196747e-11 0.000000000000e+00 1.488417257335e-14 5.102370460485e-15 -3.648471574802e-16 + 776 3.293276747898e-10 2.806973650183e-12 -1.694180721209e-11 0.000000000000e+00 1.481308872248e-14 5.092753840354e-15 -3.603603637809e-16 + 777 3.302348264884e-10 2.769824146353e-12 -1.680519477654e-11 0.000000000000e+00 1.474241459974e-14 5.082815679782e-15 -3.558455580576e-16 + 778 3.311231422829e-10 2.732983192505e-12 -1.666403729802e-11 0.000000000000e+00 1.467214567795e-14 5.072555832484e-15 -3.513021628245e-16 + 779 3.319923050676e-10 2.696464190721e-12 -1.651839450639e-11 0.000000000000e+00 1.460227997388e-14 5.061978074455e-15 -3.467308173138e-16 + 780 3.328420669205e-10 2.660278895416e-12 -1.636833362772e-11 0.000000000000e+00 1.453281610089e-14 5.051087215458e-15 -3.421324742734e-16 + 781 3.336721785845e-10 2.624439154101e-12 -1.621392280920e-11 0.000000000000e+00 1.446375261512e-14 5.039888129682e-15 -3.375080968397e-16 + 782 3.344823894634e-10 2.588956907651e-12 -1.605523112224e-11 0.000000000000e+00 1.439508801528e-14 5.028385755956e-15 -3.328586585714e-16 + 783 3.352724476201e-10 2.553844190563e-12 -1.589232856573e-11 0.000000000000e+00 1.432682074242e-14 5.016585097970e-15 -3.281851434829e-16 + 784 3.360420997728e-10 2.519113131223e-12 -1.572528606915e-11 0.000000000000e+00 1.425894917964e-14 5.004491224497e-15 -3.234885460769e-16 + 785 3.367910912921e-10 2.484775952170e-12 -1.555417549576e-11 0.000000000000e+00 1.419147165190e-14 4.992109269611e-15 -3.187698713788e-16 + 786 3.375191661984e-10 2.450844970359e-12 -1.537906964581e-11 0.000000000000e+00 1.412438642574e-14 4.979444432907e-15 -3.140301349690e-16 + 787 3.382260671586e-10 2.417332597427e-12 -1.520004225968e-11 0.000000000000e+00 1.405769170909e-14 4.966501979722e-15 -3.092703630171e-16 + 788 3.389115354833e-10 2.384251339953e-12 -1.501716802104e-11 0.000000000000e+00 1.399138565095e-14 4.953287241352e-15 -3.044915923143e-16 + 789 3.395753111236e-10 2.351613799726e-12 -1.483052256008e-11 0.000000000000e+00 1.392546634125e-14 4.939805615275e-15 -2.996948703077e-16 + 790 3.402171326683e-10 2.319432674007e-12 -1.464018245665e-11 0.000000000000e+00 1.385993181051e-14 4.926062565370e-15 -2.948812551329e-16 + 791 3.408367373409e-10 2.287720755793e-12 -1.444622524344e-11 0.000000000000e+00 1.379478002968e-14 4.912063622134e-15 -2.900518156475e-16 + 792 3.414338609966e-10 2.256490934082e-12 -1.424872940915e-11 0.000000000000e+00 1.373000890984e-14 4.897814382905e-15 -2.852076314646e-16 + 793 3.420082381191e-10 2.225756194133e-12 -1.404777440168e-11 0.000000000000e+00 1.366561630199e-14 4.883320512082e-15 -2.803497929862e-16 + 794 3.425596018182e-10 2.195529617737e-12 -1.384344063129e-11 0.000000000000e+00 1.360159999681e-14 4.868587741341e-15 -2.754794014359e-16 + 795 3.430876838259e-10 2.165824383475e-12 -1.363580947381e-11 0.000000000000e+00 1.353795772440e-14 4.853621869861e-15 -2.705975688929e-16 + 796 3.435922144944e-10 2.136653766984e-12 -1.342496327374e-11 0.000000000000e+00 1.347468715408e-14 4.838428764536e-15 -2.657054183251e-16 + 797 3.440729227925e-10 2.108031141220e-12 -1.321098534753e-11 0.000000000000e+00 1.341178589409e-14 4.823014360201e-15 -2.608040836224e-16 + 798 3.445295363028e-10 2.079969976725e-12 -1.299395998667e-11 0.000000000000e+00 1.334925149139e-14 4.807384659851e-15 -2.558947096299e-16 + 799 3.449617812187e-10 2.052483841888e-12 -1.277397246089e-11 0.000000000000e+00 1.328708143142e-14 4.791545734857e-15 -2.509784521814e-16 + 800 3.453693823413e-10 2.025586403207e-12 -1.255110902136e-11 0.000000000000e+00 1.322527313783e-14 4.775503725189e-15 -2.460564781327e-16 + 801 3.457520630768e-10 1.999291425560e-12 -1.232545690384e-11 0.000000000000e+00 1.316382397229e-14 4.759264839636e-15 -2.411299653949e-16 + 802 3.461095454329e-10 1.973612772460e-12 -1.209710433186e-11 0.000000000000e+00 1.310273123417e-14 4.742835356024e-15 -2.362001029675e-16 + 803 3.464415500166e-10 1.948564406328e-12 -1.186614051989e-11 0.000000000000e+00 1.304199216040e-14 4.726221621438e-15 -2.312680909722e-16 + 804 3.467477960304e-10 1.924160388749e-12 -1.163265567656e-11 0.000000000000e+00 1.298160392514e-14 4.709430052438e-15 -2.263351406858e-16 + 805 3.470280012699e-10 1.900414880740e-12 -1.139674100775e-11 0.000000000000e+00 1.292156363959e-14 4.692467135284e-15 -2.214024745737e-16 + 806 3.472818821206e-10 1.877342143015e-12 -1.115848871984e-11 0.000000000000e+00 1.286186835173e-14 4.675339426151e-15 -2.164713263232e-16 + 807 3.475091535549e-10 1.854956536246e-12 -1.091799202287e-11 0.000000000000e+00 1.280251504609e-14 4.658053551351e-15 -2.115429408768e-16 + 808 3.477095291291e-10 1.833272521327e-12 -1.067534513368e-11 0.000000000000e+00 1.274350064350e-14 4.640616207555e-15 -2.066185744656e-16 + 809 3.478827209808e-10 1.812304659642e-12 -1.043064327914e-11 0.000000000000e+00 1.268482200085e-14 4.623034162006e-15 -2.016994946424e-16 + 810 3.480284398250e-10 1.792067613323e-12 -1.018398269927e-11 0.000000000000e+00 1.262647591087e-14 4.605314252748e-15 -1.967869803154e-16 + 811 3.481463949524e-10 1.772576145519e-12 -9.935460650460e-12 0.000000000000e+00 1.256845910184e-14 4.587463388838e-15 -1.918823217812e-16 + 812 3.482362942251e-10 1.753845120658e-12 -9.685175408624e-12 0.000000000000e+00 1.251076823741e-14 4.569488550569e-15 -1.869868207581e-16 + 813 3.482978440746e-10 1.735889504710e-12 -9.433226272377e-12 0.000000000000e+00 1.245339991632e-14 4.551396789691e-15 -1.821017904197e-16 + 814 3.483307494985e-10 1.718724365451e-12 -9.179713566215e-12 0.000000000000e+00 1.239635067217e-14 4.533195229628e-15 -1.772285554281e-16 + 815 3.483347140573e-10 1.702364872729e-12 -8.924738643688e-12 0.000000000000e+00 1.233961697317e-14 4.514891065700e-15 -1.723684519670e-16 + 816 3.483094398715e-10 1.686826298728e-12 -8.668403890577e-12 0.000000000000e+00 1.228319522193e-14 4.496491565341e-15 -1.675228277755e-16 + 817 3.482546950335e-10 1.672121591777e-12 -8.410809155251e-12 0.000000000000e+00 1.222708220808e-14 4.478002878059e-15 -1.626928406943e-16 + 818 3.481705171672e-10 1.658254049745e-12 -8.152040963417e-12 0.000000000000e+00 1.217127647568e-14 4.459426441560e-15 -1.578788502944e-16 + 819 3.480570134984e-10 1.645224516302e-12 -7.892183117018e-12 0.000000000000e+00 1.211577697974e-14 4.440762511863e-15 -1.530810154478e-16 + 820 3.479142937784e-10 1.633033795342e-12 -7.631320252121e-12 0.000000000000e+00 1.206058263546e-14 4.422011347753e-15 -1.482994948267e-16 + 821 3.477424702938e-10 1.621682650809e-12 -7.369537841454e-12 0.000000000000e+00 1.200569231797e-14 4.403173210788e-15 -1.435344469006e-16 + 822 3.475416578751e-10 1.611171806527e-12 -7.106922196937e-12 0.000000000000e+00 1.195110486225e-14 4.384248365299e-15 -1.387860299331e-16 + 823 3.473119739058e-10 1.601501946026e-12 -6.843560472221e-12 0.000000000000e+00 1.189681906293e-14 4.365237078405e-15 -1.340544019797e-16 + 824 3.470535383319e-10 1.592673712373e-12 -6.579540665216e-12 0.000000000000e+00 1.184283367415e-14 4.346139620012e-15 -1.293397208843e-16 + 825 3.467664736709e-10 1.584687707999e-12 -6.314951620629e-12 0.000000000000e+00 1.178914740938e-14 4.326956262822e-15 -1.246421442769e-16 + 826 3.464509050205e-10 1.577544494528e-12 -6.049883032496e-12 0.000000000000e+00 1.173575894129e-14 4.307687282339e-15 -1.199618295704e-16 + 827 3.461069600685e-10 1.571244592602e-12 -5.784425446718e-12 0.000000000000e+00 1.168266690154e-14 4.288332956874e-15 -1.152989339575e-16 + 828 3.457347691011e-10 1.565788481714e-12 -5.518670263593e-12 0.000000000000e+00 1.162986988070e-14 4.268893567552e-15 -1.106536144086e-16 + 829 3.453344650127e-10 1.561176600034e-12 -5.252709740352e-12 0.000000000000e+00 1.157736642800e-14 4.249369398319e-15 -1.060260276683e-16 + 830 3.449061833145e-10 1.557409344236e-12 -4.986636993690e-12 0.000000000000e+00 1.152515505125e-14 4.229760735944e-15 -1.014163302526e-16 + 831 3.444500621441e-10 1.554487069329e-12 -4.720546002303e-12 0.000000000000e+00 1.147323421662e-14 4.210067870032e-15 -9.682467844650e-17 + 832 3.439662422740e-10 1.552410088482e-12 -4.454531609423e-12 0.000000000000e+00 1.142160234852e-14 4.190291093023e-15 -9.225122830060e-17 + 833 3.434548671216e-10 1.551178672856e-12 -4.188689525345e-12 0.000000000000e+00 1.137025782943e-14 4.170430700201e-15 -8.769613562854e-17 + 834 3.429160827574e-10 1.550793051429e-12 -3.923116329972e-12 0.000000000000e+00 1.131919899973e-14 4.150486989702e-15 -8.315955600409e-17 + 835 3.423500379147e-10 1.551253410826e-12 -3.657909475337e-12 0.000000000000e+00 1.126842415754e-14 4.130460262518e-15 -7.864164475826e-17 + 836 3.417568839986e-10 1.552559895146e-12 -3.393167288148e-12 0.000000000000e+00 1.121793155860e-14 4.110350822502e-15 -7.414255697648e-17 + 837 3.411367750950e-10 1.554712605793e-12 -3.128988972314e-12 0.000000000000e+00 1.116771941604e-14 4.090158976376e-15 -6.966244749573e-17 + 838 3.404898679799e-10 1.557711601299e-12 -2.865474611483e-12 0.000000000000e+00 1.111778590029e-14 4.069885033737e-15 -6.520147090165e-17 + 839 3.398163221284e-10 1.561556897159e-12 -2.602725171575e-12 0.000000000000e+00 1.106812913888e-14 4.049529307061e-15 -6.075978152575e-17 + 840 3.391162997238e-10 1.566248465653e-12 -2.340842503316e-12 0.000000000000e+00 1.101874721629e-14 4.029092111713e-15 -5.633753344250e-17 + 841 3.383899656668e-10 1.571786235679e-12 -2.079929344772e-12 0.000000000000e+00 1.096963817380e-14 4.008573765948e-15 -5.193488046649e-17 + 842 3.376374875846e-10 1.578170092579e-12 -1.820089323884e-12 0.000000000000e+00 1.092080000931e-14 3.987974590923e-15 -4.755197614957e-17 + 843 3.368590358401e-10 1.585399877966e-12 -1.561426961000e-12 0.000000000000e+00 1.087223067721e-14 3.967294910696e-15 -4.318897377801e-17 + 844 3.360547835407e-10 1.593475389556e-12 -1.304047671410e-12 0.000000000000e+00 1.082392808819e-14 3.946535052238e-15 -3.884602636961e-17 + 845 3.352249065481e-10 1.602396380992e-12 -1.048057767881e-12 0.000000000000e+00 1.077589010910e-14 3.925695345437e-15 -3.452328667089e-17 + 846 3.343695834865e-10 1.612162561675e-12 -7.935644631891e-13 0.000000000000e+00 1.072811456278e-14 3.904776123104e-15 -3.022090715419e-17 + 847 3.334889957525e-10 1.622773596593e-12 -5.406758726562e-13 0.000000000000e+00 1.068059922793e-14 3.883777720977e-15 -2.593904001482e-17 + 848 3.325833275238e-10 1.634229106144e-12 -2.895010166812e-13 0.000000000000e+00 1.063334183890e-14 3.862700477733e-15 -2.167783716824e-17 + 849 3.316527657686e-10 1.646528665973e-12 -4.014982327521e-14 0.000000000000e+00 1.058634008556e-14 3.841544734987e-15 -1.743745024715e-17 + 850 3.306975002544e-10 1.659671806792e-12 2.072668694041e-13 0.000000000000e+00 1.053959161316e-14 3.820310837303e-15 -1.321803059868e-17 + 851 3.297177235574e-10 1.673658014212e-12 4.526373105190e-13 0.000000000000e+00 1.049309402212e-14 3.798999132197e-15 -9.019729281499e-18 + 852 3.287136310716e-10 1.688486728570e-12 6.958488340173e-13 0.000000000000e+00 1.044684486792e-14 3.777609970145e-15 -4.842697062985e-18 + 853 3.276854210175e-10 1.704157344761e-12 9.367878560989e-13 0.000000000000e+00 1.040084166091e-14 3.756143704589e-15 -6.870844163475e-19 + 854 3.266332944520e-10 1.720669212061e-12 1.175339872681e-12 0.000000000000e+00 1.035508186617e-14 3.734600691941e-15 3.446958482220e-18 + 855 3.255574552769e-10 1.738021633956e-12 1.411389456865e-12 0.000000000000e+00 1.030956290333e-14 3.712981291594e-15 7.559281756397e-18 + 856 3.244581368523e-10 1.756212240524e-12 1.644831474737e-12 0.000000000000e+00 1.026428246319e-14 3.691285759613e-15 1.164966707390e-17 + 857 3.233356823170e-10 1.775232075476e-12 1.875604947530e-12 0.000000000000e+00 1.021923946376e-14 3.669513927831e-15 1.571762008806e-17 + 858 3.221904656555e-10 1.795070424997e-12 2.103659761863e-12 0.000000000000e+00 1.017443311020e-14 3.647665519298e-15 1.976257446258e-17 + 859 3.210228652321e-10 1.815716437161e-12 2.328945503039e-12 0.000000000000e+00 1.012986257944e-14 3.625740254080e-15 2.378396030107e-17 + 860 3.198332638041e-10 1.837159121500e-12 2.551411454343e-12 0.000000000000e+00 1.008552702003e-14 3.603737849248e-15 2.778120413870e-17 + 861 3.186220485351e-10 1.859387348562e-12 2.771006596345e-12 0.000000000000e+00 1.004142555210e-14 3.581658018864e-15 3.175372893377e-17 + 862 3.173896110087e-10 1.882389849473e-12 2.987679606198e-12 0.000000000000e+00 9.997557267196e-15 3.559500473977e-15 3.570095405934e-17 + 863 3.161363472419e-10 1.906155215500e-12 3.201378856946e-12 0.000000000000e+00 9.953921228198e-15 3.537264922603e-15 3.962229529482e-17 + 864 3.148626576985e-10 1.930671897615e-12 3.412052416817e-12 0.000000000000e+00 9.910516469205e-15 3.514951069720e-15 4.351716481762e-17 + 865 3.135689473028e-10 1.955928206052e-12 3.619648048530e-12 0.000000000000e+00 9.867341995433e-15 3.492558617254e-15 4.738497119470e-17 + 866 3.122556254528e-10 1.981912309875e-12 3.824113208591e-12 0.000000000000e+00 9.824396783102e-15 3.470087264067e-15 5.122511937424e-17 + 867 3.109231060338e-10 2.008612236534e-12 4.025395046601e-12 0.000000000000e+00 9.781679779332e-15 3.447536705948e-15 5.503701067721e-17 + 868 3.095718074318e-10 2.036015871432e-12 4.223440404548e-12 0.000000000000e+00 9.739189902033e-15 3.424906635601e-15 5.882004278897e-17 + 869 3.082021525472e-10 2.064110957486e-12 4.418195816117e-12 0.000000000000e+00 9.696926039799e-15 3.402196742630e-15 6.257360975094e-17 + 870 3.068145688081e-10 2.092885094687e-12 4.609607505985e-12 0.000000000000e+00 9.654887051800e-15 3.379406713536e-15 6.629710195213e-17 + 871 3.054094881836e-10 2.122325739662e-12 4.797621389124e-12 0.000000000000e+00 9.613071767675e-15 3.356536231694e-15 6.998990612080e-17 + 872 3.039873471976e-10 2.152420205238e-12 4.982183070103e-12 0.000000000000e+00 9.571478987422e-15 3.333584977355e-15 7.365140531607e-17 + 873 3.025485869422e-10 2.183155660006e-12 5.163237842388e-12 0.000000000000e+00 9.530107481296e-15 3.310552627622e-15 7.728097891949e-17 + 874 3.010936530909e-10 2.214519127877e-12 5.340730687642e-12 0.000000000000e+00 9.488955989696e-15 3.287438856448e-15 8.087800262671e-17 + 875 2.996229959126e-10 2.246497487647e-12 5.514606275030e-12 0.000000000000e+00 9.448023223057e-15 3.264243334620e-15 8.444184843903e-17 + 876 2.981370702844e-10 2.279077472563e-12 5.684808960515e-12 0.000000000000e+00 9.407307861749e-15 3.240965729749e-15 8.797188465503e-17 + 877 2.966363357057e-10 2.312245669878e-12 5.851282786162e-12 0.000000000000e+00 9.366808555963e-15 3.217605706259e-15 9.146747586219e-17 + 878 2.951212563113e-10 2.345988520417e-12 6.013971479439e-12 0.000000000000e+00 9.326523925606e-15 3.194162925374e-15 9.492798292851e-17 + 879 2.935923008850e-10 2.380292318140e-12 6.172818452518e-12 0.000000000000e+00 9.286452560195e-15 3.170637045110e-15 9.835276299407e-17 + 880 2.920499428731e-10 2.415143209702e-12 6.327766801574e-12 0.000000000000e+00 9.246593018744e-15 3.147027720259e-15 1.017411694627e-16 + 881 2.904946603977e-10 2.450527194014e-12 6.478759306089e-12 0.000000000000e+00 9.206943829663e-15 3.123334602383e-15 1.050925519935e-16 + 882 2.889269362704e-10 2.486430121809e-12 6.625738428152e-12 0.000000000000e+00 9.167503490648e-15 3.099557339797e-15 1.084062564927e-16 + 883 2.873472580056e-10 2.522837695198e-12 6.768646311759e-12 0.000000000000e+00 9.128270468572e-15 3.075695577564e-15 1.116816251047e-16 + 884 2.857561178343e-10 2.559735467241e-12 6.907424782116e-12 0.000000000000e+00 9.089243199378e-15 3.051748957478e-15 1.149179962045e-16 + 885 2.841540127169e-10 2.597108841498e-12 7.042015344938e-12 0.000000000000e+00 9.050420087973e-15 3.027717118055e-15 1.181147043886e-16 + 886 2.825414443576e-10 2.634943071601e-12 7.172359185750e-12 0.000000000000e+00 9.011799508119e-15 3.003599694522e-15 1.212710804668e-16 + 887 2.809189192168e-10 2.673223260809e-12 7.298397169192e-12 0.000000000000e+00 8.973379802328e-15 2.979396318807e-15 1.243864514543e-16 + 888 2.792869485258e-10 2.711934361574e-12 7.420069838316e-12 0.000000000000e+00 8.935159281749e-15 2.955106619523e-15 1.274601405623e-16 + 889 2.776460482990e-10 2.751061175103e-12 7.537317413886e-12 0.000000000000e+00 8.897136226066e-15 2.930730221963e-15 1.304914671908e-16 + 890 2.759967393484e-10 2.790588350916e-12 7.650079793685e-12 0.000000000000e+00 8.859308883388e-15 2.906266748082e-15 1.334797469191e-16 + 891 2.743395472965e-10 2.830500386412e-12 7.758296551809e-12 0.000000000000e+00 8.821675470143e-15 2.881715816491e-15 1.364242914984e-16 + 892 2.726750025900e-10 2.870781626432e-12 7.861906937975e-12 0.000000000000e+00 8.784234170967e-15 2.857077042445e-15 1.393244088424e-16 + 893 2.710036405132e-10 2.911416262816e-12 7.960849876814e-12 0.000000000000e+00 8.746983138601e-15 2.832350037828e-15 1.421794030200e-16 + 894 2.693260012016e-10 2.952388333969e-12 8.055063967180e-12 0.000000000000e+00 8.709920493779e-15 2.807534411145e-15 1.449885742459e-16 + 895 2.676426056001e-10 2.993681864113e-12 8.144499519384e-12 0.000000000000e+00 8.673044549970e-15 2.782631038166e-15 1.477514387063e-16 + 896 2.659538828823e-10 3.035281284414e-12 8.229154883506e-12 0.000000000000e+00 8.636354491826e-15 2.757645896599e-15 1.504683919803e-16 + 897 2.642602418742e-10 3.077171017854e-12 8.309040712305e-12 0.000000000000e+00 8.599849707584e-15 2.732586293949e-15 1.531400564237e-16 + 898 2.625620950116e-10 3.119335339749e-12 8.384167978099e-12 0.000000000000e+00 8.563529565153e-15 2.707459602707e-15 1.557670623410e-16 + 899 2.608598583500e-10 3.161758377331e-12 8.454547973860e-12 0.000000000000e+00 8.527393412040e-15 2.682273260533e-15 1.583500480100e-16 + 900 2.591539515744e-10 3.204424109331e-12 8.520192314323e-12 0.000000000000e+00 8.491440575275e-15 2.657034770430e-15 1.608896597060e-16 + 901 2.574447980096e-10 3.247316365561e-12 8.581112937085e-12 0.000000000000e+00 8.455670361335e-15 2.631751700927e-15 1.633865517267e-16 + 902 2.557328246296e-10 3.290418826501e-12 8.637322103709e-12 0.000000000000e+00 8.420082056076e-15 2.606431686257e-15 1.658413864164e-16 + 903 2.540184620674e-10 3.333715022874e-12 8.688832400826e-12 0.000000000000e+00 8.384674924652e-15 2.581082426534e-15 1.682548341906e-16 + 904 2.523021446254e-10 3.377188335238e-12 8.735656741237e-12 0.000000000000e+00 8.349448211448e-15 2.555711687932e-15 1.706275735606e-16 + 905 2.505843102848e-10 3.420821993562e-12 8.777808365016e-12 0.000000000000e+00 8.314401140000e-15 2.530327302867e-15 1.729602911578e-16 + 906 2.488654007158e-10 3.464599076813e-12 8.815300840612e-12 0.000000000000e+00 8.279532912926e-15 2.504937170171e-15 1.752536817585e-16 + 907 2.471458612872e-10 3.508502512537e-12 8.848148065951e-12 0.000000000000e+00 8.244842711848e-15 2.479549255275e-15 1.775084483082e-16 + 908 2.454261410764e-10 3.552515076442e-12 8.876364269541e-12 0.000000000000e+00 8.210329697323e-15 2.454171590387e-15 1.797253019460e-16 + 909 2.437066928793e-10 3.596619391983e-12 8.899964011570e-12 0.000000000000e+00 8.175993008762e-15 2.428812274666e-15 1.819049620294e-16 + 910 2.419879732203e-10 3.640797929942e-12 8.918962185012e-12 0.000000000000e+00 8.141831764364e-15 2.403479474410e-15 1.840481561585e-16 + 911 2.402704423617e-10 3.685033008013e-12 8.933374016730e-12 0.000000000000e+00 8.107845061038e-15 2.378181423226e-15 1.861556202008e-16 + 912 2.385545643142e-10 3.729306790384e-12 8.943215068574e-12 0.000000000000e+00 8.074031974327e-15 2.352926422214e-15 1.882280983156e-16 + 913 2.368408068463e-10 3.773601287320e-12 8.948501238487e-12 0.000000000000e+00 8.040391558339e-15 2.327722840144e-15 1.902663429783e-16 + 914 2.351296414944e-10 3.817898354745e-12 8.949248761608e-12 0.000000000000e+00 8.006922845670e-15 2.302579113634e-15 1.922711150051e-16 + 915 2.334215435725e-10 3.862179693829e-12 8.945474211373e-12 0.000000000000e+00 7.973624847332e-15 2.277503747333e-15 1.942431835776e-16 + 916 2.317169921825e-10 3.906426850565e-12 8.937194500614e-12 0.000000000000e+00 7.940496552677e-15 2.252505314092e-15 1.961833262672e-16 + 917 2.300164702235e-10 3.950621215358e-12 8.924426882670e-12 0.000000000000e+00 7.907536929323e-15 2.227592455152e-15 1.980923290594e-16 + 918 2.283204644020e-10 3.994744022601e-12 8.907188952481e-12 0.000000000000e+00 7.874744923083e-15 2.202773880316e-15 1.999709863786e-16 + 919 2.266294652417e-10 4.038776350265e-12 8.885498647696e-12 0.000000000000e+00 7.842119457888e-15 2.178058368131e-15 2.018201011125e-16 + 920 2.249439670934e-10 4.082699119477e-12 8.859374249770e-12 0.000000000000e+00 7.809659435717e-15 2.153454766066e-15 2.036404846367e-16 + 921 2.232644681450e-10 4.126493094105e-12 8.828834385073e-12 0.000000000000e+00 7.777363736518e-15 2.128971990691e-15 2.054329568390e-16 + 922 2.215914704311e-10 4.170138880342e-12 8.793898025987e-12 0.000000000000e+00 7.745231218138e-15 2.104619027854e-15 2.071983461439e-16 + 923 2.199254798430e-10 4.213616926285e-12 8.754584492012e-12 0.000000000000e+00 7.713260716246e-15 2.080404932863e-15 2.089374895375e-16 + 924 2.182670061387e-10 4.256907521524e-12 8.710913450866e-12 0.000000000000e+00 7.681451044262e-15 2.056338830665e-15 2.106512325916e-16 + 925 2.166165629526e-10 4.299990796717e-12 8.662904919589e-12 0.000000000000e+00 7.649800993284e-15 2.032429916019e-15 2.123404294881e-16 + 926 2.149746678054e-10 4.342846723180e-12 8.610579265644e-12 0.000000000000e+00 7.618309332010e-15 2.008687453682e-15 2.140059430442e-16 + 927 2.133418421140e-10 4.385455112468e-12 8.553957208020e-12 0.000000000000e+00 7.586974806666e-15 1.985120778585e-15 2.156486447362e-16 + 928 2.117186112016e-10 4.427795615956e-12 8.493059818338e-12 0.000000000000e+00 7.555796140932e-15 1.961739296010e-15 2.172694147240e-16 + 929 2.101055043071e-10 4.469847724422e-12 8.427908521945e-12 0.000000000000e+00 7.524772035871e-15 1.938552481770e-15 2.188691418763e-16 + 930 2.085030545953e-10 4.511590767634e-12 8.358525099025e-12 0.000000000000e+00 7.493901169851e-15 1.915569882390e-15 2.204487237944e-16 + 931 2.069117991669e-10 4.553003913928e-12 8.284931685697e-12 0.000000000000e+00 7.463182198472e-15 1.892801115284e-15 2.220090668370e-16 + 932 2.053322790679e-10 4.594066169793e-12 8.207150775119e-12 0.000000000000e+00 7.432613754494e-15 1.870255868932e-15 2.235510861447e-16 + 933 2.037650393000e-10 4.634756379454e-12 8.125205218589e-12 0.000000000000e+00 7.402194447761e-15 1.847943903063e-15 2.250757056645e-16 + 934 2.022105726719e-10 4.675055018166e-12 8.039124260613e-12 0.000000000000e+00 7.371923027052e-15 1.825872790731e-15 2.265835923864e-16 + 935 2.006691503735e-10 4.714949603654e-12 7.948961745274e-12 0.000000000000e+00 7.341798868551e-15 1.804041105518e-15 2.280743544513e-16 + 936 1.991409887722e-10 4.754429368448e-12 7.854778196693e-12 0.000000000000e+00 7.311821494867e-15 1.782445128173e-15 2.295473305548e-16 + 937 1.976263053339e-10 4.793483473674e-12 7.756634812802e-12 0.000000000000e+00 7.281990413749e-15 1.761081094923e-15 2.310018545863e-16 + 938 1.961253186245e-10 4.832101008881e-12 7.654593467271e-12 0.000000000000e+00 7.252305118038e-15 1.739945197348e-15 2.324372556173e-16 + 939 1.946382483124e-10 4.870270991873e-12 7.548716711441e-12 0.000000000000e+00 7.222765085615e-15 1.719033582239e-15 2.338528578890e-16 + 940 1.931653151705e-10 4.907982368536e-12 7.439067776257e-12 0.000000000000e+00 7.193369779346e-15 1.698342351476e-15 2.352479808005e-16 + 941 1.917067410784e-10 4.945224012669e-12 7.325710574199e-12 0.000000000000e+00 7.164118647033e-15 1.677867561893e-15 2.366219388969e-16 + 942 1.902627490248e-10 4.981984725814e-12 7.208709701211e-12 0.000000000000e+00 7.135011121363e-15 1.657605225143e-15 2.379740418570e-16 + 943 1.888335631091e-10 5.018253237081e-12 7.088130438635e-12 0.000000000000e+00 7.106046619854e-15 1.637551307573e-15 2.393035944817e-16 + 944 1.874194085440e-10 5.054018202985e-12 6.964038755143e-12 0.000000000000e+00 7.077224544806e-15 1.617701730089e-15 2.406098966813e-16 + 945 1.860205116577e-10 5.089268207267e-12 6.836501308667e-12 0.000000000000e+00 7.048544283245e-15 1.598052368023e-15 2.418922434642e-16 + 946 1.846370998958e-10 5.123991760732e-12 6.705585448331e-12 0.000000000000e+00 7.020005206879e-15 1.578599051007e-15 2.431499249245e-16 + 947 1.832694018235e-10 5.158177301069e-12 6.571359216383e-12 0.000000000000e+00 6.991606672038e-15 1.559337562834e-15 2.443822262300e-16 + 948 1.819176471279e-10 5.191813192690e-12 6.433891350127e-12 0.000000000000e+00 6.963348019626e-15 1.540263641333e-15 2.455884276104e-16 + 949 1.805820666201e-10 5.224887726552e-12 6.293251283853e-12 0.000000000000e+00 6.935228575073e-15 1.521372978235e-15 2.467678043450e-16 + 950 1.792628922371e-10 5.257389119990e-12 6.149509150769e-12 0.000000000000e+00 6.907247648275e-15 1.502661219040e-15 2.479196267509e-16 + 951 1.779603570446e-10 5.289305516545e-12 6.002735784934e-12 0.000000000000e+00 6.879404533552e-15 1.484123962890e-15 2.490431601707e-16 + 952 1.766746952385e-10 5.320624985795e-12 5.853002723190e-12 0.000000000000e+00 6.851698509587e-15 1.465756762432e-15 2.501376649609e-16 + 953 1.754061421472e-10 5.351335523183e-12 5.700382207088e-12 0.000000000000e+00 6.824128839381e-15 1.447555123690e-15 2.512023964796e-16 + 954 1.741549342342e-10 5.381425049847e-12 5.544947184829e-12 0.000000000000e+00 6.796694770201e-15 1.429514505933e-15 2.522366050745e-16 + 955 1.729213090995e-10 5.410881412449e-12 5.386771313185e-12 0.000000000000e+00 6.769395533523e-15 1.411630321544e-15 2.532395360709e-16 + 956 1.717055054827e-10 5.439692383004e-12 5.225928959441e-12 0.000000000000e+00 6.742230344987e-15 1.393897935886e-15 2.542104297599e-16 + 957 1.705077632641e-10 5.467845658713e-12 5.062495203317e-12 0.000000000000e+00 6.715198404340e-15 1.376312667174e-15 2.551485213860e-16 + 958 1.693283234679e-10 5.495328861786e-12 4.896545838907e-12 0.000000000000e+00 6.688298895389e-15 1.358869786341e-15 2.560530411352e-16 + 959 1.681674282634e-10 5.522129539276e-12 4.728157376605e-12 0.000000000000e+00 6.661530985944e-15 1.341564516908e-15 2.569232141234e-16 + 960 1.670253209678e-10 5.548235162908e-12 4.557407045043e-12 0.000000000000e+00 6.634893827773e-15 1.324392034852e-15 2.577582603836e-16 + 961 1.659022460484e-10 5.573633128909e-12 4.384372793015e-12 0.000000000000e+00 6.608386556544e-15 1.307347468473e-15 2.585573948548e-16 + 962 1.647984491241e-10 5.598310757832e-12 4.209133291415e-12 0.000000000000e+00 6.582008291778e-15 1.290425898265e-15 2.593198273691e-16 + 963 1.637141769684e-10 5.622255294394e-12 4.031767935162e-12 0.000000000000e+00 6.555758136794e-15 1.273622356785e-15 2.600447626404e-16 + 964 1.626496775108e-10 5.645453907299e-12 3.852356845140e-12 0.000000000000e+00 6.529635178659e-15 1.256931828518e-15 2.607314002518e-16 + 965 1.616051998395e-10 5.667893689069e-12 3.670980870123e-12 0.000000000000e+00 6.503638488139e-15 1.240349249748e-15 2.613789346441e-16 + 966 1.605809942033e-10 5.689561655874e-12 3.487721588707e-12 0.000000000000e+00 6.477767119639e-15 1.223869508428e-15 2.619865551033e-16 + 967 1.595773120138e-10 5.710444747363e-12 3.302661311246e-12 0.000000000000e+00 6.452020111164e-15 1.207487444043e-15 2.625534457491e-16 + 968 1.585944058476e-10 5.730529826489e-12 3.115883081778e-12 0.000000000000e+00 6.426396484253e-15 1.191197847486e-15 2.630787855223e-16 + 969 1.576325294485e-10 5.749803679342e-12 2.927470679962e-12 0.000000000000e+00 6.400895243941e-15 1.174995460920e-15 2.635617481734e-16 + 970 1.566919377294e-10 5.768253014980e-12 2.737508623005e-12 0.000000000000e+00 6.375515378698e-15 1.158874977651e-15 2.640015022501e-16 + 971 1.557728867749e-10 5.785864465251e-12 2.546082167595e-12 0.000000000000e+00 6.350255860379e-15 1.142831041994e-15 2.643972110855e-16 + 972 1.548756338430e-10 5.802624584631e-12 2.353277311834e-12 0.000000000000e+00 6.325115644178e-15 1.126858249143e-15 2.647480327859e-16 + 973 1.540003836928e-10 5.818522178037e-12 2.159177985394e-12 0.000000000000e+00 6.300093786900e-15 1.110952094644e-15 2.650533631898e-16 + 974 1.531471266795e-10 5.833555322902e-12 1.963857569884e-12 0.000000000000e+00 6.275189803862e-15 1.095111838694e-15 2.653135687625e-16 + 975 1.523157982335e-10 5.847724452166e-12 1.767387255035e-12 0.000000000000e+00 6.250403317248e-15 1.079337684577e-15 2.655292646786e-16 + 976 1.515063323098e-10 5.861030035968e-12 1.569838840510e-12 0.000000000000e+00 6.225733938230e-15 1.063629832944e-15 2.657010728672e-16 + 977 1.507186613840e-10 5.873472581770e-12 1.371284737475e-12 0.000000000000e+00 6.201181266932e-15 1.047988481800e-15 2.658296220307e-16 + 978 1.499527164468e-10 5.885052634481e-12 1.171797970180e-12 0.000000000000e+00 6.176744892389e-15 1.032413826495e-15 2.659155476635e-16 + 979 1.492084270001e-10 5.895770776583e-12 9.714521775306e-13 0.000000000000e+00 6.152424392513e-15 1.016906059713e-15 2.659594920710e-16 + 980 1.484857210521e-10 5.905627628250e-12 7.703216146655e-13 0.000000000000e+00 6.128219334057e-15 1.001465371458e-15 2.659621043878e-16 + 981 1.477845251124e-10 5.914623847480e-12 5.684811545312e-13 0.000000000000e+00 6.104129272578e-15 9.860919490457e-16 2.659240405972e-16 + 982 1.471047641878e-10 5.922760130213e-12 3.660062894579e-13 0.000000000000e+00 6.080153752399e-15 9.707859770909e-16 2.658459635494e-16 + 983 1.464463617776e-10 5.930037210455e-12 1.629731327349e-13 0.000000000000e+00 6.056292306572e-15 9.555476374966e-16 2.657285429802e-16 + 984 1.458092398685e-10 5.936455860410e-12 -4.054157981370e-14 0.000000000000e+00 6.032544456846e-15 9.403771094426e-16 2.655724555302e-16 + 985 1.451933189305e-10 5.942016890592e-12 -2.444604882537e-13 0.000000000000e+00 6.008909713623e-15 9.252745693744e-16 2.653783847631e-16 + 986 1.445985179121e-10 5.946721149960e-12 -4.487056069651e-13 0.000000000000e+00 5.985387575927e-15 9.102401909919e-16 2.651470211850e-16 + 987 1.440247542353e-10 5.950569526037e-12 -6.531983230668e-13 0.000000000000e+00 5.961977531367e-15 8.952741452385e-16 2.648790622623e-16 + 988 1.434719437918e-10 5.953562945035e-12 -8.578593948405e-13 0.000000000000e+00 5.938679056097e-15 8.803766002892e-16 2.645752124413e-16 + 989 1.429400009373e-10 5.955702371978e-12 -1.062608950156e-12 0.000000000000e+00 5.915491614782e-15 8.655477215400e-16 2.642361831664e-16 + 990 1.424288384877e-10 5.956988810830e-12 -1.267366484895e-12 0.000000000000e+00 5.892414660559e-15 8.507876715964e-16 2.638626928992e-16 + 991 1.419383677141e-10 5.957423304614e-12 -1.472050861376e-12 0.000000000000e+00 5.869447635005e-15 8.360966102623e-16 2.634554671370e-16 + 992 1.414684983382e-10 5.957006935540e-12 -1.676580306778e-12 0.000000000000e+00 5.846589968096e-15 8.214746945286e-16 2.630152384315e-16 + 993 1.410191385277e-10 5.955740825129e-12 -1.880872411565e-12 0.000000000000e+00 5.823841078170e-15 8.069220785620e-16 2.625427464080e-16 + 994 1.405901948916e-10 5.953626134336e-12 -2.084844127914e-12 0.000000000000e+00 5.801200371895e-15 7.924389136940e-16 2.620387377835e-16 + 995 1.401815724756e-10 5.950664063672e-12 -2.288411768133e-12 0.000000000000e+00 5.778667244226e-15 7.780253484094e-16 2.615039663860e-16 + 996 1.397931747576e-10 5.946855853333e-12 -2.491491003090e-12 0.000000000000e+00 5.756241078375e-15 7.636815283353e-16 2.609391931729e-16 + 997 1.394249036428e-10 5.942202783321e-12 -2.693996860637e-12 0.000000000000e+00 5.733921245769e-15 7.494075962296e-16 2.603451862500e-16 + 998 1.390766594592e-10 5.936706173570e-12 -2.895843724033e-12 0.000000000000e+00 5.711707106016e-15 7.352036919701e-16 2.597227208900e-16 + 999 1.387483409529e-10 5.930367384068e-12 -3.096945330370e-12 0.000000000000e+00 5.689598006867e-15 7.210699525430e-16 2.590725795515e-16 + 1000 1.384398452837e-10 5.923187814981e-12 -3.297214768997e-12 0.000000000000e+00 5.667593284182e-15 7.070065120319e-16 2.583955518975e-16 + 1001 1.381510680200e-10 5.915168906783e-12 -3.496564479943e-12 0.000000000000e+00 5.645692261890e-15 6.930135016064e-16 2.576924348144e-16 + 1002 1.378819031346e-10 5.906312140371e-12 -3.694906252344e-12 0.000000000000e+00 5.623894251953e-15 6.790910495109e-16 2.569640324304e-16 + 1003 1.376322430000e-10 5.896619037196e-12 -3.892151222865e-12 0.000000000000e+00 5.602198554332e-15 6.652392810533e-16 2.562111561348e-16 + 1004 1.374019783834e-10 5.886091159385e-12 -4.088209874127e-12 0.000000000000e+00 5.580604456947e-15 6.514583185943e-16 2.554346245961e-16 + 1005 1.371909984424e-10 5.874730109866e-12 -4.282992033129e-12 0.000000000000e+00 5.559111235643e-15 6.377482815352e-16 2.546352637812e-16 + 1006 1.369991907204e-10 5.862537532489e-12 -4.476406869673e-12 0.000000000000e+00 5.537718154152e-15 6.241092863076e-16 2.538139069740e-16 + 1007 1.368264411418e-10 5.849515112156e-12 -4.668362894791e-12 0.000000000000e+00 5.516424464054e-15 6.105414463618e-16 2.529713947943e-16 + 1008 1.366726340073e-10 5.835664574940e-12 -4.858767959167e-12 0.000000000000e+00 5.495229404748e-15 5.970448721554e-16 2.521085752162e-16 + 1009 1.365376519894e-10 5.820987688211e-12 -5.047529251559e-12 0.000000000000e+00 5.474132203405e-15 5.836196711423e-16 2.512263035871e-16 + 1010 1.364213761277e-10 5.805486260760e-12 -5.234553297232e-12 0.000000000000e+00 5.453132074939e-15 5.702659477616e-16 2.503254426464e-16 + 1011 1.363236858244e-10 5.789162142924e-12 -5.419745956371e-12 0.000000000000e+00 5.432228221969e-15 5.569838034259e-16 2.494068625444e-16 + 1012 1.362444355949e-10 5.772018709398e-12 -5.603021691117e-12 0.000000000000e+00 5.411419922510e-15 5.437736772856e-16 2.484713274490e-16 + 1013 1.361833849618e-10 5.754065330859e-12 -5.784331516328e-12 0.000000000000e+00 5.390706794522e-15 5.306373739301e-16 2.475191535359e-16 + 1014 1.361402675401e-10 5.735312967136e-12 -5.963635449136e-12 0.000000000000e+00 5.370088535110e-15 5.175770504982e-16 2.465505460991e-16 + 1015 1.361148141822e-10 5.715772690665e-12 -6.140893276431e-12 0.000000000000e+00 5.349564833111e-15 5.045948772765e-16 2.455657125205e-16 + 1016 1.361067529708e-10 5.695455686792e-12 -6.316064554373e-12 0.000000000000e+00 5.329135369068e-15 4.916930377285e-16 2.445648622754e-16 + 1017 1.361158092114e-10 5.674373254068e-12 -6.489108607902e-12 0.000000000000e+00 5.308799815206e-15 4.788737285228e-16 2.435482069381e-16 + 1018 1.361417054253e-10 5.652536804547e-12 -6.659984530245e-12 0.000000000000e+00 5.288557835401e-15 4.661391595621e-16 2.425159601873e-16 + 1019 1.361841613417e-10 5.629957864085e-12 -6.828651182428e-12 0.000000000000e+00 5.268409085159e-15 4.534915540117e-16 2.414683378113e-16 + 1020 1.362428938907e-10 5.606648072637e-12 -6.995067192782e-12 0.000000000000e+00 5.248353211586e-15 4.409331483282e-16 2.404055577139e-16 + 1021 1.363176171958e-10 5.582619184554e-12 -7.159190956458e-12 0.000000000000e+00 5.228389853361e-15 4.284661922882e-16 2.393278399197e-16 + 1022 1.364080425668e-10 5.557883068882e-12 -7.320980634930e-12 0.000000000000e+00 5.208518640712e-15 4.160929490168e-16 2.382354065795e-16 + 1023 1.365138784921e-10 5.532451709659e-12 -7.480394155508e-12 0.000000000000e+00 5.188739195390e-15 4.038156950166e-16 2.371284819758e-16 + 1024 1.366348306313e-10 5.506337206212e-12 -7.637389210847e-12 0.000000000000e+00 5.169051130641e-15 3.916367201959e-16 2.360072925283e-16 + 1025 1.367706018082e-10 5.479551773459e-12 -7.791923258457e-12 0.000000000000e+00 5.149454051179e-15 3.795583278978e-16 2.348720667995e-16 + 1026 1.369208920033e-10 5.452107742199e-12 -7.943953520212e-12 0.000000000000e+00 5.129947553160e-15 3.675828349287e-16 2.337230354999e-16 + 1027 1.370853983464e-10 5.424017559417e-12 -8.093436981855e-12 0.000000000000e+00 5.110531224159e-15 3.557125715868e-16 2.325604314937e-16 + 1028 1.372638151090e-10 5.395293788578e-12 -8.240330392517e-12 0.000000000000e+00 5.091204643139e-15 3.439498816910e-16 2.313844898043e-16 + 1029 1.374558336973e-10 5.365949109926e-12 -8.384590264216e-12 0.000000000000e+00 5.071967380425e-15 3.322971226095e-16 2.301954476193e-16 + 1030 1.376611426450e-10 5.335996320781e-12 -8.526172871374e-12 0.000000000000e+00 5.052818997682e-15 3.207566652884e-16 2.289935442968e-16 + 1031 1.378794276051e-10 5.305448335837e-12 -8.665034250323e-12 0.000000000000e+00 5.033759047885e-15 3.093308942803e-16 2.277790213702e-16 + 1032 1.381103713436e-10 5.274318187461e-12 -8.801130198815e-12 0.000000000000e+00 5.014787075291e-15 2.980222077733e-16 2.265521225538e-16 + 1033 1.383536537313e-10 5.242619025989e-12 -8.934416275531e-12 0.000000000000e+00 4.995902615419e-15 2.868330176191e-16 2.253130937486e-16 + 1034 1.386089517370e-10 5.210364120024e-12 -9.064847799591e-12 0.000000000000e+00 4.977105195015e-15 2.757657493623e-16 2.240621830472e-16 + 1035 1.388759394199e-10 5.177566856734e-12 -9.192379850064e-12 0.000000000000e+00 4.958394332033e-15 2.648228422687e-16 2.227996407399e-16 + 1036 1.391542879220e-10 5.144240742150e-12 -9.316967265475e-12 0.000000000000e+00 4.939769535605e-15 2.540067493538e-16 2.215257193198e-16 + 1037 1.394436654614e-10 5.110399401466e-12 -9.438564643317e-12 0.000000000000e+00 4.921230306016e-15 2.433199374118e-16 2.202406734884e-16 + 1038 1.397437373241e-10 5.076056579329e-12 -9.557126339559e-12 0.000000000000e+00 4.902776134676e-15 2.327648870443e-16 2.189447601608e-16 + 1039 1.400541658574e-10 5.041226140148e-12 -9.672606468158e-12 0.000000000000e+00 4.884406504096e-15 2.223440926887e-16 2.176382384716e-16 + 1040 1.403746104622e-10 5.005922068382e-12 -9.784958900562e-12 0.000000000000e+00 4.866120887858e-15 2.120600626468e-16 2.163213697802e-16 + 1041 1.407047275855e-10 4.970158468844e-12 -9.894137265229e-12 0.000000000000e+00 4.847918750593e-15 2.019153191138e-16 2.149944176761e-16 + 1042 1.410441707133e-10 4.933949566993e-12 -1.000009494713e-11 0.000000000000e+00 4.829799547952e-15 1.919123982069e-16 2.136576479846e-16 + 1043 1.413925903631e-10 4.897309709239e-12 -1.010278508725e-11 0.000000000000e+00 4.811762726579e-15 1.820538499937e-16 2.123113287723e-16 + 1044 1.417496340766e-10 4.860253363234e-12 -1.020216058211e-11 0.000000000000e+00 4.793807724086e-15 1.723422385210e-16 2.109557303522e-16 + 1045 1.421149464124e-10 4.822795118174e-12 -1.029817408330e-11 0.000000000000e+00 4.775933969028e-15 1.627801418437e-16 2.095911252896e-16 + 1046 1.424881689384e-10 4.784949685094e-12 -1.039077799692e-11 0.000000000000e+00 4.758140880874e-15 1.533701520529e-16 2.082177884075e-16 + 1047 1.428689402247e-10 4.746731897170e-12 -1.047992448316e-11 0.000000000000e+00 4.740427869980e-15 1.441148753053e-16 2.068359967918e-16 + 1048 1.432568958362e-10 4.708156710010e-12 -1.056556545576e-11 0.000000000000e+00 4.722794337565e-15 1.350169318513e-16 2.054460297971e-16 + 1049 1.436516683250e-10 4.669239201958e-12 -1.064765258157e-11 0.000000000000e+00 4.705239675686e-15 1.260789560637e-16 2.040481690518e-16 + 1050 1.440528872234e-10 4.629994574388e-12 -1.072613727999e-11 0.000000000000e+00 4.687763267206e-15 1.173035964669e-16 2.026426984642e-16 + 1051 1.444601943505e-10 4.590437974236e-12 -1.080098063475e-11 0.000000000000e+00 4.670364551700e-15 1.086930705393e-16 2.012298327124e-16 + 1052 1.448732899801e-10 4.550583958283e-12 -1.087218328086e-11 0.000000000000e+00 4.653043224210e-15 1.002478222884e-16 1.998095016171e-16 + 1053 1.452918873003e-10 4.510447022019e-12 -1.093975593213e-11 0.000000000000e+00 4.635799039200e-15 9.196784607241e-17 1.983815627830e-16 + 1054 1.457156971513e-10 4.470041777006e-12 -1.100370950716e-11 0.000000000000e+00 4.618631744856e-15 8.385313011390e-17 1.969458728388e-16 + 1055 1.461444280200e-10 4.429382951163e-12 -1.106405513002e-11 0.000000000000e+00 4.601541083072e-15 7.590365648022e-17 1.955022874354e-16 + 1056 1.465777860342e-10 4.388485389044e-12 -1.112080413073e-11 0.000000000000e+00 4.584526789428e-15 6.811940106379e-17 1.940506612437e-16 + 1057 1.470154749569e-10 4.347364052111e-12 -1.117396804593e-11 0.000000000000e+00 4.567588593169e-15 6.050033356250e-17 1.925908479519e-16 + 1058 1.474571961807e-10 4.306034019019e-12 -1.122355861941e-11 0.000000000000e+00 4.550726217191e-15 5.304641746000e-17 1.911227002635e-16 + 1059 1.479026487219e-10 4.264510485891e-12 -1.126958780274e-11 0.000000000000e+00 4.533939378016e-15 4.575761000607e-17 1.896460698951e-16 + 1060 1.483515292151e-10 4.222808766597e-12 -1.131206775581e-11 0.000000000000e+00 4.517227785778e-15 3.863386219696e-17 1.881608075737e-16 + 1061 1.488035319072e-10 4.180944293033e-12 -1.135101084746e-11 0.000000000000e+00 4.500591144198e-15 3.167511875571e-17 1.866667630348e-16 + 1062 1.492583486520e-10 4.138932615398e-12 -1.138642965601e-11 0.000000000000e+00 4.484029150572e-15 2.488131811252e-17 1.851637850201e-16 + 1063 1.497156689042e-10 4.096789402475e-12 -1.141833696992e-11 0.000000000000e+00 4.467541495743e-15 1.825239238508e-17 1.836517212749e-16 + 1064 1.501751797139e-10 4.054530441907e-12 -1.144674578829e-11 0.000000000000e+00 4.451127864091e-15 1.178826735892e-17 1.821304185461e-16 + 1065 1.506365657208e-10 4.012171640476e-12 -1.147166932153e-11 0.000000000000e+00 4.434787933506e-15 5.488862467717e-18 1.805997225797e-16 + 1066 1.510995091486e-10 3.969729024382e-12 -1.149312099186e-11 0.000000000000e+00 4.418521375375e-15 -6.459092263117e-19 1.790594781188e-16 + 1067 1.515636897993e-10 3.927218739523e-12 -1.151111443398e-11 0.000000000000e+00 4.402327854556e-15 -6.616141052103e-18 1.775095289010e-16 + 1068 1.520287850473e-10 3.884657051769e-12 -1.152566349559e-11 0.000000000000e+00 4.386207029367e-15 -1.242193274939e-17 1.759497176563e-16 + 1069 1.524944698339e-10 3.842060347245e-12 -1.153678223800e-11 0.000000000000e+00 4.370158551559e-15 -1.806339048837e-17 1.743798861049e-16 + 1070 1.529604166618e-10 3.799445132608e-12 -1.154448493672e-11 0.000000000000e+00 4.354182066301e-15 -2.354062688936e-17 1.727998749544e-16 + 1071 1.534262955889e-10 3.756828035323e-12 -1.154878608204e-11 0.000000000000e+00 4.338277212161e-15 -2.885376104245e-17 1.712095238983e-16 + 1072 1.538917742229e-10 3.714225803946e-12 -1.154970037961e-11 0.000000000000e+00 4.322443621085e-15 -3.400291852715e-17 1.696086716130e-16 + 1073 1.543565177156e-10 3.671655308399e-12 -1.154724275104e-11 0.000000000000e+00 4.306680918378e-15 -3.898823143208e-17 1.679971557560e-16 + 1074 1.548201887571e-10 3.629133540248e-12 -1.154142833446e-11 0.000000000000e+00 4.290988722685e-15 -4.380983837461e-17 1.663748129633e-16 + 1075 1.552824475704e-10 3.586677612984e-12 -1.153227248513e-11 0.000000000000e+00 4.275366645974e-15 -4.846788452050e-17 1.647414788472e-16 + 1076 1.557429519053e-10 3.544304762302e-12 -1.151979077601e-11 0.000000000000e+00 4.259814293513e-15 -5.296252160361e-17 1.630969879942e-16 + 1077 1.562013570328e-10 3.502032346375e-12 -1.150399899836e-11 0.000000000000e+00 4.244331263851e-15 -5.729390794550e-17 1.614411739623e-16 + 1078 1.566573157396e-10 3.459877846138e-12 -1.148491316231e-11 0.000000000000e+00 4.228917148805e-15 -6.146220847511e-17 1.597738692792e-16 + 1079 1.571104783223e-10 3.417858865561e-12 -1.146254949746e-11 0.000000000000e+00 4.213571533432e-15 -6.546759474844e-17 1.580949054397e-16 + 1080 1.575604925816e-10 3.375993131931e-12 -1.143692445343e-11 0.000000000000e+00 4.198293996015e-15 -6.931024496816e-17 1.564041129034e-16 + 1081 1.580070038168e-10 3.334298496132e-12 -1.140805470050e-11 0.000000000000e+00 4.183084108043e-15 -7.299034400335e-17 1.547013210926e-16 + 1082 1.584496548198e-10 3.292792932916e-12 -1.137595713016e-11 0.000000000000e+00 4.167941434192e-15 -7.650808340904e-17 1.529863583898e-16 + 1083 1.588880858698e-10 3.251494541192e-12 -1.134064885569e-11 0.000000000000e+00 4.152865532303e-15 -7.986366144599e-17 1.512590521356e-16 + 1084 1.593219347272e-10 3.210421544296e-12 -1.130214721277e-11 0.000000000000e+00 4.137855953367e-15 -8.305728310026e-17 1.495192286264e-16 + 1085 1.597508366284e-10 3.169592290272e-12 -1.126046976004e-11 0.000000000000e+00 4.122912241502e-15 -8.608916010291e-17 1.477667131118e-16 + 1086 1.601744242794e-10 3.129025252153e-12 -1.121563427972e-11 0.000000000000e+00 4.108033933938e-15 -8.895951094965e-17 1.460013297929e-16 + 1087 1.605923278507e-10 3.088739028234e-12 -1.116765877816e-11 0.000000000000e+00 4.093220560993e-15 -9.166856092050e-17 1.442229018193e-16 + 1088 1.610041749716e-10 3.048752342358e-12 -1.111656148642e-11 0.000000000000e+00 4.078471646057e-15 -9.421654209943e-17 1.424312512873e-16 + 1089 1.614095907239e-10 3.009084044186e-12 -1.106236086090e-11 0.000000000000e+00 4.063786705571e-15 -9.660369339407e-17 1.406261992377e-16 + 1090 1.618082370960e-10 2.969751473423e-12 -1.100508056955e-11 0.000000000000e+00 4.049165299188e-15 -9.883093489226e-17 1.388076957896e-16 + 1091 1.621999319331e-10 2.930765527893e-12 -1.094476452265e-11 0.000000000000e+00 4.034607181020e-15 -1.009019007913e-16 1.369762124585e-16 + 1092 1.625845315698e-10 2.892135529901e-12 -1.088146204470e-11 0.000000000000e+00 4.020112150381e-15 -1.028209337597e-16 1.351323550931e-16 + 1093 1.629618915142e-10 2.853870856412e-12 -1.081522290811e-11 0.000000000000e+00 4.005680001776e-15 -1.045924131589e-16 1.332767342263e-16 + 1094 1.633318664460e-10 2.815980939161e-12 -1.074609733427e-11 0.000000000000e+00 3.991310524888e-15 -1.062207551313e-16 1.314099650861e-16 + 1095 1.636943102147e-10 2.778475264767e-12 -1.067413599469e-11 0.000000000000e+00 3.977003504561e-15 -1.077104126877e-16 1.295326676067e-16 + 1096 1.640490758381e-10 2.741363374848e-12 -1.059939001203e-11 0.000000000000e+00 3.962758720792e-15 -1.090658757951e-16 1.276454664390e-16 + 1097 1.643960155004e-10 2.704654866135e-12 -1.052191096122e-11 0.000000000000e+00 3.948575948708e-15 -1.102916714646e-16 1.257489909614e-16 + 1098 1.647349805506e-10 2.668359390582e-12 -1.044175087056e-11 0.000000000000e+00 3.934454958562e-15 -1.113923638388e-16 1.238438752912e-16 + 1099 1.650658215007e-10 2.632486655482e-12 -1.035896222275e-11 0.000000000000e+00 3.920395515711e-15 -1.123725542795e-16 1.219307582947e-16 + 1100 1.653883880241e-10 2.597046423581e-12 -1.027359795607e-11 0.000000000000e+00 3.906397380603e-15 -1.132368814556e-16 1.200102835986e-16 + 1101 1.657025289538e-10 2.562048513187e-12 -1.018571146537e-11 0.000000000000e+00 3.892460308768e-15 -1.139900214310e-16 1.180830996007e-16 + 1102 1.660080922806e-10 2.527502798289e-12 -1.009535660324e-11 0.000000000000e+00 3.878584050797e-15 -1.146366877516e-16 1.161498594804e-16 + 1103 1.663049251516e-10 2.493419208667e-12 -1.000258768104e-11 0.000000000000e+00 3.864768352332e-15 -1.151816315337e-16 1.142112212102e-16 + 1104 1.665928738682e-10 2.459807730007e-12 -9.907459470025e-12 0.000000000000e+00 3.851012954051e-15 -1.156296415515e-16 1.122678475658e-16 + 1105 1.668717838848e-10 2.426678404010e-12 -9.810027202422e-12 0.000000000000e+00 3.837317591655e-15 -1.159855443245e-16 1.103204061378e-16 + 1106 1.671414998066e-10 2.394041328514e-12 -9.710346572509e-12 0.000000000000e+00 3.823681995849e-15 -1.162542042059e-16 1.083695693415e-16 + 1107 1.674018653882e-10 2.361906657598e-12 -9.608473737714e-12 0.000000000000e+00 3.810105892335e-15 -1.164405234693e-16 1.064160144287e-16 + 1108 1.676527235319e-10 2.330284601702e-12 -9.504465319701e-12 0.000000000000e+00 3.796589001792e-15 -1.165494423974e-16 1.044604234980e-16 + 1109 1.678939162857e-10 2.299185427735e-12 -9.398378405454e-12 0.000000000000e+00 3.783131039864e-15 -1.165859393690e-16 1.025034835059e-16 + 1110 1.681252848419e-10 2.268619459196e-12 -9.290270548374e-12 0.000000000000e+00 3.769731717147e-15 -1.165550309473e-16 1.005458862774e-16 + 1111 1.683466695352e-10 2.238597076277e-12 -9.180199769358e-12 0.000000000000e+00 3.756390739173e-15 -1.164617719670e-16 9.858832851711e-17 + 1112 1.685579098410e-10 2.209128715986e-12 -9.068224557894e-12 0.000000000000e+00 3.743107806397e-15 -1.163112556223e-16 9.663151181981e-17 + 1113 1.687588443738e-10 2.180224872256e-12 -8.954403873146e-12 0.000000000000e+00 3.729882614180e-15 -1.161086135548e-16 9.467614268154e-17 + 1114 1.689493108855e-10 2.151896096056e-12 -8.838797145043e-12 0.000000000000e+00 3.716714852780e-15 -1.158590159408e-16 9.272293251036e-17 + 1115 1.691291462634e-10 2.124152995510e-12 -8.721464275366e-12 0.000000000000e+00 3.703604207335e-15 -1.155676715792e-16 9.077259763715e-17 + 1116 1.692981865287e-10 2.097006236005e-12 -8.602465638840e-12 0.000000000000e+00 3.690550357847e-15 -1.152398279794e-16 8.882585932649e-17 + 1117 1.694562668348e-10 2.070466540309e-12 -8.481862084219e-12 0.000000000000e+00 3.677552979169e-15 -1.148807714486e-16 8.688344378751e-17 + 1118 1.696032214656e-10 2.044544688680e-12 -8.359714935376e-12 0.000000000000e+00 3.664611740995e-15 -1.144958271799e-16 8.494608218469e-17 + 1119 1.697388838336e-10 2.019251518983e-12 -8.236085992388e-12 0.000000000000e+00 3.651726307840e-15 -1.140903593397e-16 8.301451064878e-17 + 1120 1.698630864785e-10 1.994597926802e-12 -8.111037532630e-12 0.000000000000e+00 3.638896339027e-15 -1.136697711555e-16 8.108947028755e-17 + 1121 1.699756610652e-10 1.970594865551e-12 -7.984632311859e-12 0.000000000000e+00 3.626121488677e-15 -1.132395050038e-16 7.917170719673e-17 + 1122 1.700764383820e-10 1.947253346592e-12 -7.856933565303e-12 0.000000000000e+00 3.613401405690e-15 -1.128050424974e-16 7.726197247076e-17 + 1123 1.701652483394e-10 1.924584439345e-12 -7.728005008751e-12 0.000000000000e+00 3.600735733732e-15 -1.123719045736e-16 7.536102221371e-17 + 1124 1.702419199678e-10 1.902599271401e-12 -7.597910839639e-12 0.000000000000e+00 3.588124111224e-15 -1.119456515813e-16 7.346961755006e-17 + 1125 1.703062814161e-10 1.881309028639e-12 -7.466715738140e-12 0.000000000000e+00 3.575566171322e-15 -1.115318833695e-16 7.158852463561e-17 + 1126 1.703581599499e-10 1.860724955335e-12 -7.334484868252e-12 0.000000000000e+00 3.563061541909e-15 -1.111362393743e-16 6.971851466826e-17 + 1127 1.703973819499e-10 1.840858354278e-12 -7.201283878886e-12 0.000000000000e+00 3.550609845577e-15 -1.107643987067e-16 6.786036389889e-17 + 1128 1.704237729101e-10 1.821720586883e-12 -7.067178904953e-12 0.000000000000e+00 3.538210699613e-15 -1.104220802409e-16 6.601485364220e-17 + 1129 1.704371962023e-10 1.803321019756e-12 -6.932234472730e-12 0.000000000000e+00 3.525863754612e-15 -1.101133344163e-16 6.418261149719e-17 + 1130 1.704376699237e-10 1.785660835058e-12 -6.796507184063e-12 0.000000000000e+00 3.513568810879e-15 -1.098353942623e-16 6.236363273672e-17 + 1131 1.704252515586e-10 1.768739140252e-12 -6.660051952576e-12 0.000000000000e+00 3.501325703503e-15 -1.095837579007e-16 6.055775274443e-17 + 1132 1.703999993509e-10 1.752555014300e-12 -6.522924092871e-12 0.000000000000e+00 3.489134263863e-15 -1.093538907132e-16 5.876480523923e-17 + 1133 1.703619723063e-10 1.737107507587e-12 -6.385179321417e-12 0.000000000000e+00 3.476994319610e-15 -1.091412252689e-16 5.698462227114e-17 + 1134 1.703112301939e-10 1.722395641836e-12 -6.246873757443e-12 0.000000000000e+00 3.464905694661e-15 -1.089411612507e-16 5.521703421723e-17 + 1135 1.702478335483e-10 1.708418410036e-12 -6.108063923833e-12 0.000000000000e+00 3.452868209191e-15 -1.087490653828e-16 5.346186977749e-17 + 1136 1.701718436716e-10 1.695174776354e-12 -5.968806748009e-12 0.000000000000e+00 3.440881679614e-15 -1.085602713575e-16 5.171895597081e-17 + 1137 1.700833226354e-10 1.682663676062e-12 -5.829159562828e-12 0.000000000000e+00 3.428945918583e-15 -1.083700797621e-16 4.998811813081e-17 + 1138 1.699823332822e-10 1.670884015453e-12 -5.689180107474e-12 0.000000000000e+00 3.417060734971e-15 -1.081737580063e-16 4.826917990180e-17 + 1139 1.698689392280e-10 1.659834671761e-12 -5.548926528345e-12 0.000000000000e+00 3.405225933863e-15 -1.079665402489e-16 4.656196323463e-17 + 1140 1.697432048640e-10 1.649514493086e-12 -5.408457379945e-12 0.000000000000e+00 3.393441316550e-15 -1.077436273250e-16 4.486628838269e-17 + 1141 1.696051953583e-10 1.639922298308e-12 -5.267831625780e-12 0.000000000000e+00 3.381706680511e-15 -1.075001866728e-16 4.318197389771e-17 + 1142 1.694549766581e-10 1.631056877011e-12 -5.127108639243e-12 0.000000000000e+00 3.370021819406e-15 -1.072313522610e-16 4.150883662575e-17 + 1143 1.692926154915e-10 1.622916989403e-12 -4.986348204507e-12 0.000000000000e+00 3.358386523069e-15 -1.069322245152e-16 3.984669170306e-17 + 1144 1.691181793695e-10 1.615501366234e-12 -4.845610517420e-12 0.000000000000e+00 3.346800577491e-15 -1.065978702458e-16 3.819535255201e-17 + 1145 1.689317365880e-10 1.608808708719e-12 -4.704956186390e-12 0.000000000000e+00 3.335263764812e-15 -1.062233225741e-16 3.655463087699e-17 + 1146 1.687333562295e-10 1.602837688455e-12 -4.564446233281e-12 0.000000000000e+00 3.323775863314e-15 -1.058035808602e-16 3.492433666033e-17 + 1147 1.685231081651e-10 1.597586947344e-12 -4.424142094302e-12 0.000000000000e+00 3.312336647405e-15 -1.053336106291e-16 3.330427815816e-17 + 1148 1.683010630567e-10 1.593055097515e-12 -4.284105620898e-12 0.000000000000e+00 3.300945887611e-15 -1.048083434986e-16 3.169426189639e-17 + 1149 1.680672923586e-10 1.589240721236e-12 -4.144399080644e-12 0.000000000000e+00 3.289603350566e-15 -1.042226771057e-16 3.009409266656e-17 + 1150 1.678218683195e-10 1.586142370844e-12 -4.005085158132e-12 0.000000000000e+00 3.278308799000e-15 -1.035714750340e-16 2.850357352177e-17 + 1151 1.675648639847e-10 1.583758568659e-12 -3.866226955864e-12 0.000000000000e+00 3.267061991732e-15 -1.028495667403e-16 2.692250577259e-17 + 1152 1.672963531976e-10 1.582087806907e-12 -3.727887995145e-12 0.000000000000e+00 3.255862683652e-15 -1.020517474823e-16 2.535068898295e-17 + 1153 1.670164106020e-10 1.581128547637e-12 -3.590132216971e-12 0.000000000000e+00 3.244710625720e-15 -1.011727782448e-16 2.378792096607e-17 + 1154 1.667251116437e-10 1.580879222647e-12 -3.453023982922e-12 0.000000000000e+00 3.233605564948e-15 -1.002073856675e-16 2.223399778036e-17 + 1155 1.664225325727e-10 1.581338233397e-12 -3.316628076054e-12 0.000000000000e+00 3.222547244391e-15 -9.915026197135e-17 2.068871372530e-17 + 1156 1.661087504453e-10 1.582503950936e-12 -3.181009701789e-12 0.000000000000e+00 3.211535403141e-15 -9.799606488606e-17 1.915186133740e-17 + 1157 1.657838431253e-10 1.584374715816e-12 -3.046234488804e-12 0.000000000000e+00 3.200569776312e-15 -9.673941757691e-17 1.762323138605e-17 + 1158 1.654478892866e-10 1.586948838017e-12 -2.912368489927e-12 0.000000000000e+00 3.189650095028e-15 -9.537490857178e-17 1.610261286948e-17 + 1159 1.651009684152e-10 1.590224596867e-12 -2.779478183025e-12 0.000000000000e+00 3.178776086417e-15 -9.389709168821e-17 1.458979301062e-17 + 1160 1.647431608104e-10 1.594200240956e-12 -2.647630471895e-12 0.000000000000e+00 3.167947473601e-15 -9.230048596042e-17 1.308455725305e-17 + 1161 1.643745475875e-10 1.598873988065e-12 -2.516892687157e-12 0.000000000000e+00 3.157163975677e-15 -9.057957556630e-17 1.158668925688e-17 + 1162 1.639952106794e-10 1.604244025081e-12 -2.387332587144e-12 0.000000000000e+00 3.146425307718e-15 -8.872880975446e-17 1.009597089466e-17 + 1163 1.636052328384e-10 1.610308507917e-12 -2.259018358792e-12 0.000000000000e+00 3.135731180754e-15 -8.674260277126e-17 8.612182247294e-18 + 1164 1.632046976385e-10 1.617065561435e-12 -2.132018618534e-12 0.000000000000e+00 3.125081301765e-15 -8.461533378781e-17 7.135101599941e-18 + 1165 1.627936894769e-10 1.624513279363e-12 -2.006402413190e-12 0.000000000000e+00 3.114475373670e-15 -8.234134682698e-17 5.664505437933e-18 + 1166 1.623722935763e-10 1.632649724218e-12 -1.882239220857e-12 0.000000000000e+00 3.103913095315e-15 -7.991495069048e-17 4.200168442672e-18 + 1167 1.619405959865e-10 1.641472927225e-12 -1.759598951800e-12 0.000000000000e+00 3.093394161467e-15 -7.733041888581e-17 2.741863487543e-18 + 1168 1.614987006804e-10 1.650979613611e-12 -1.638544782273e-12 0.000000000000e+00 3.082918292814e-15 -7.458388006936e-17 1.289414228027e-18 + 1169 1.610467810702e-10 1.661161361187e-12 -1.519111556002e-12 0.000000000000e+00 3.072485326427e-15 -7.167901541893e-17 -1.571463992833e-19 + 1170 1.605850291395e-10 1.672008393540e-12 -1.401327114207e-12 0.000000000000e+00 3.062095126410e-15 -6.862143240810e-17 -1.597732700513e-18 + 1171 1.601136384114e-10 1.683510850108e-12 -1.285219438422e-12 0.000000000000e+00 3.051747553982e-15 -6.541678084940e-17 -3.032258638299e-18 + 1172 1.596328039521e-10 1.695658785986e-12 -1.170816650756e-12 0.000000000000e+00 3.041442467466e-15 -6.207075298748e-17 -4.460637831264e-18 + 1173 1.591427223742e-10 1.708442171736e-12 -1.058147014157e-12 0.000000000000e+00 3.031179722283e-15 -5.858908359232e-17 -5.882783553482e-18 + 1174 1.586435918401e-10 1.721850893194e-12 -9.472389326712e-13 0.000000000000e+00 3.020959170942e-15 -5.497755005240e-17 -7.298608733953e-18 + 1175 1.581356120658e-10 1.735874751280e-12 -8.381209517030e-13 0.000000000000e+00 3.010780663034e-15 -5.124197246782e-17 -8.708025956068e-18 + 1176 1.576189843236e-10 1.750503461804e-12 -7.308217582795e-13 0.000000000000e+00 3.000644045225e-15 -4.738821374355e-17 -1.011094745709e-17 + 1177 1.570939114463e-10 1.765726655276e-12 -6.253701813097e-13 0.000000000000e+00 2.990549161244e-15 -4.342217968255e-17 -1.150728512760e-17 + 1178 1.565605978303e-10 1.781533876711e-12 -5.217951918461e-13 0.000000000000e+00 2.980495851878e-15 -3.934981907895e-17 -1.289695051102e-17 + 1179 1.560192494389e-10 1.797914585444e-12 -4.201259033465e-13 0.000000000000e+00 2.970483954966e-15 -3.517712381127e-17 -1.427985480300e-17 + 1180 1.554700738059e-10 1.814858154928e-12 -3.203915719348e-13 0.000000000000e+00 2.960513305387e-15 -3.091012893551e-17 -1.565590885098e-17 + 1181 1.549132800391e-10 1.832353872553e-12 -2.226215966623e-13 0.000000000000e+00 2.950583735054e-15 -2.655491277841e-17 -1.702502315358e-17 + 1182 1.543490788236e-10 1.850390939446e-12 -1.268455197692e-13 0.000000000000e+00 2.940695072907e-15 -2.211759703055e-17 -1.838710786014e-17 + 1183 1.537776824252e-10 1.868958470282e-12 -3.309302694611e-14 0.000000000000e+00 2.930847144904e-15 -1.760434683961e-17 -1.974207277014e-17 + 1184 1.531993046941e-10 1.888045493095e-12 5.860605240538e-14 0.000000000000e+00 2.921039774011e-15 -1.302137090343e-17 -2.108982733269e-17 + 1185 1.526141610678e-10 1.907640949081e-12 1.482217449107e-13 0.000000000000e+00 2.911272780201e-15 -8.374921563293e-18 -2.243028064599e-17 + 1186 1.520224685753e-10 1.927733692410e-12 2.357239329615e-13 0.000000000000e+00 2.901545980438e-15 -3.671294897032e-18 -2.376334145683e-17 + 1187 1.514244458397e-10 1.948312490033e-12 3.210823544539e-13 0.000000000000e+00 2.891859188672e-15 1.083169187774e-18 -2.508891816001e-17 + 1188 1.508203130824e-10 1.969366021488e-12 4.042666025277e-13 0.000000000000e+00 2.882212215836e-15 5.882086860628e-18 -2.640691879787e-17 + 1189 1.502102921260e-10 1.990882878714e-12 4.852461253046e-13 0.000000000000e+00 2.872604869829e-15 1.071903027494e-17 -2.771725105971e-17 + 1190 1.495946063977e-10 2.012851565851e-12 5.639902256274e-13 0.000000000000e+00 2.863036955515e-15 1.558752747487e-17 -2.901982228129e-17 + 1191 1.489734809334e-10 2.035260499057e-12 6.404680607984e-13 0.000000000000e+00 2.853508274715e-15 2.048106230211e-17 -3.031453944428e-17 + 1192 1.483471423802e-10 2.058098006309e-12 7.146486423180e-13 0.000000000000e+00 2.844018626194e-15 2.539307430278e-17 -3.160130917574e-17 + 1193 1.477158190007e-10 2.081352327215e-12 7.865008356239e-13 0.000000000000e+00 2.834567805657e-15 3.031695863417e-17 -3.288003774761e-17 + 1194 1.470797406758e-10 2.105011612820e-12 8.559933598292e-13 0.000000000000e+00 2.825155605741e-15 3.524606597165e-17 -3.415063107615e-17 + 1195 1.464391389083e-10 2.129063925417e-12 9.230947874616e-13 0.000000000000e+00 2.815781816008e-15 4.017370241544e-17 -3.541299472141e-17 + 1196 1.457942468267e-10 2.153497238352e-12 9.877735442018e-13 0.000000000000e+00 2.806446222931e-15 4.509312939745e-17 -3.666703388673e-17 + 1197 1.451452991881e-10 2.178299435834e-12 1.049997908622e-12 0.000000000000e+00 2.797148609896e-15 4.999756358812e-17 -3.791265341819e-17 + 1198 1.444925323820e-10 2.203458312744e-12 1.109736011927e-12 0.000000000000e+00 2.787888757185e-15 5.488017680323e-17 -3.914975780407e-17 + 1199 1.438361844334e-10 2.228961574441e-12 1.166955837687e-12 0.000000000000e+00 2.778666441974e-15 5.973409591073e-17 -4.037825117436e-17 + 1200 1.431764950066e-10 2.254796836570e-12 1.221625221584e-12 0.000000000000e+00 2.769481438322e-15 6.455240273757e-17 -4.159803730017e-17 + 1201 1.425137054086e-10 2.280951624875e-12 1.273711851143e-12 0.000000000000e+00 2.760333517164e-15 6.932813397653e-17 -4.280901959326e-17 + 1202 1.418480585921e-10 2.307413374999e-12 1.323183265479e-12 0.000000000000e+00 2.751222446304e-15 7.405428109305e-17 -4.401110110547e-17 + 1203 1.411797991593e-10 2.334169432300e-12 1.370006855027e-12 0.000000000000e+00 2.742147990405e-15 7.872379023203e-17 -4.520418452822e-17 + 1204 1.405091733655e-10 2.361207051655e-12 1.414149861287e-12 0.000000000000e+00 2.733109910984e-15 8.332956212467e-17 -4.638817219196e-17 + 1205 1.398364291221e-10 2.388513397269e-12 1.455579376559e-12 0.000000000000e+00 2.724107966401e-15 8.786445199533e-17 -4.756296606562e-17 + 1206 1.391618160002e-10 2.416075542482e-12 1.494262343685e-12 0.000000000000e+00 2.715141911855e-15 9.232126946830e-17 -4.872846775615e-17 + 1207 1.384855751963e-10 2.443880629066e-12 1.530173115100e-12 0.000000000000e+00 2.706211522882e-15 9.669454604175e-17 -4.988456034760e-17 + 1208 1.378079092886e-10 2.471916347597e-12 1.563316230727e-12 0.000000000000e+00 2.697316666197e-15 1.009858611268e-16 -5.103105367896e-17 + 1209 1.371290121211e-10 2.500170462517e-12 1.593703915408e-12 0.000000000000e+00 2.688457229698e-15 1.051985803223e-16 -5.216773840258e-17 + 1210 1.364490788110e-10 2.528630652999e-12 1.621348544970e-12 0.000000000000e+00 2.679633099024e-15 1.093360937510e-16 -5.329440408242e-17 + 1211 1.357683057511e-10 2.557284512765e-12 1.646262646586e-12 0.000000000000e+00 2.670844157553e-15 1.134018161112e-16 -5.441083919192e-17 + 1212 1.350868906128e-10 2.586119549912e-12 1.668458899135e-12 0.000000000000e+00 2.662090286392e-15 1.173991867295e-16 -5.551683111209e-17 + 1213 1.344050323481e-10 2.615123186727e-12 1.687950133566e-12 0.000000000000e+00 2.653371364373e-15 1.213316696130e-16 -5.661216612941e-17 + 1214 1.337229311927e-10 2.644282759515e-12 1.704749333254e-12 0.000000000000e+00 2.644687268048e-15 1.252027535016e-16 -5.769662943383e-17 + 1215 1.330407886686e-10 2.673585518416e-12 1.718869634364e-12 0.000000000000e+00 2.636037871682e-15 1.290159519200e-16 -5.877000511675e-17 + 1216 1.323588075863e-10 2.703018627227e-12 1.730324326212e-12 0.000000000000e+00 2.627423047245e-15 1.327748032305e-16 -5.983207616897e-17 + 1217 1.316771920478e-10 2.732569163226e-12 1.739126851625e-12 0.000000000000e+00 2.618842664410e-15 1.364828706852e-16 -6.088262447871e-17 + 1218 1.309961474491e-10 2.762224116989e-12 1.745290807302e-12 0.000000000000e+00 2.610296590545e-15 1.401437424778e-16 -6.192143082956e-17 + 1219 1.303158804827e-10 2.791970392214e-12 1.748829944172e-12 0.000000000000e+00 2.601784690706e-15 1.437610317965e-16 -6.294827489844e-17 + 1220 1.296365991403e-10 2.821794805542e-12 1.749758167762e-12 0.000000000000e+00 2.593306827634e-15 1.473383768760e-16 -6.396293525360e-17 + 1221 1.289585127155e-10 2.851684086378e-12 1.748089538550e-12 0.000000000000e+00 2.584862861744e-15 1.508794410499e-16 -6.496518935260e-17 + 1222 1.282818318062e-10 2.881624876712e-12 1.743838272332e-12 0.000000000000e+00 2.576452651125e-15 1.543879128030e-16 -6.595481354026e-17 + 1223 1.276067683173e-10 2.911603730940e-12 1.737018740578e-12 0.000000000000e+00 2.568076051531e-15 1.578675058233e-16 -6.693158304666e-17 + 1224 1.269335354633e-10 2.941607115689e-12 1.727645470797e-12 0.000000000000e+00 2.559732916374e-15 1.613219590550e-16 -6.789527198511e-17 + 1225 1.262623477711e-10 2.971621409632e-12 1.715733146893e-12 0.000000000000e+00 2.551423096721e-15 1.647550367499e-16 -6.884565335009e-17 + 1226 1.255934210822e-10 3.001632903313e-12 1.701296609531e-12 0.000000000000e+00 2.543146441286e-15 1.681705285206e-16 -6.978249901531e-17 + 1227 1.249269725556e-10 3.031627798969e-12 1.684350856497e-12 0.000000000000e+00 2.534902796423e-15 1.715722493919e-16 -7.070557973159e-17 + 1228 1.242632206705e-10 3.061592210350e-12 1.664911043053e-12 0.000000000000e+00 2.526692006123e-15 1.749640398540e-16 -7.161466512489e-17 + 1229 1.236023852284e-10 3.091512162540e-12 1.642992482307e-12 0.000000000000e+00 2.518513912006e-15 1.783497659141e-16 -7.250952369429e-17 + 1230 1.229446873565e-10 3.121373591779e-12 1.618610645565e-12 0.000000000000e+00 2.510368353315e-15 1.817333191490e-16 -7.338992280994e-17 + 1231 1.222903495095e-10 3.151162345283e-12 1.591781162700e-12 0.000000000000e+00 2.502255166913e-15 1.851186167573e-16 -7.425562871103e-17 + 1232 1.216395954728e-10 3.180864181069e-12 1.562519822505e-12 0.000000000000e+00 2.494174187271e-15 1.885096016120e-16 -7.510640650382e-17 + 1233 1.209926503647e-10 3.210464767770e-12 1.530842573061e-12 0.000000000000e+00 2.486125246469e-15 1.919102423122e-16 -7.594202015954e-17 + 1234 1.203497406393e-10 3.239949684463e-12 1.496765522093e-12 0.000000000000e+00 2.478108174185e-15 1.953245332361e-16 -7.676223251243e-17 + 1235 1.197110940890e-10 3.269304420486e-12 1.460304937332e-12 0.000000000000e+00 2.470122797690e-15 1.987564945927e-16 -7.756680525767e-17 + 1236 1.190769398470e-10 3.298514375262e-12 1.421477246877e-12 0.000000000000e+00 2.462168941845e-15 2.022101724745e-16 -7.835549894939e-17 + 1237 1.184475083900e-10 3.327564858115e-12 1.380299039555e-12 0.000000000000e+00 2.454246429091e-15 2.056896389097e-16 -7.912807299863e-17 + 1238 1.178230315410e-10 3.356441088100e-12 1.336787065281e-12 0.000000000000e+00 2.446355079447e-15 2.091989919141e-16 -7.988428567130e-17 + 1239 1.172037424714e-10 3.385128193816e-12 1.290958235423e-12 0.000000000000e+00 2.438494710500e-15 2.127423555443e-16 -8.062389408619e-17 + 1240 1.165898757043e-10 3.413611213234e-12 1.242829623155e-12 0.000000000000e+00 2.430665137400e-15 2.163238799490e-16 -8.134665421293e-17 + 1241 1.159816671165e-10 3.441875093510e-12 1.192418463827e-12 0.000000000000e+00 2.422866172859e-15 2.199477414220e-16 -8.205232086994e-17 + 1242 1.153793539412e-10 3.469904690818e-12 1.139742155318e-12 0.000000000000e+00 2.415097627137e-15 2.236181424542e-16 -8.274064772246e-17 + 1243 1.147831747711e-10 3.497684770158e-12 1.084818258402e-12 0.000000000000e+00 2.407359308043e-15 2.273393117859e-16 -8.341138728049e-17 + 1244 1.141933695604e-10 3.525200005190e-12 1.027664497106e-12 0.000000000000e+00 2.399651020924e-15 2.311155044591e-16 -8.406429089674e-17 + 1245 1.136101796278e-10 3.552434978044e-12 9.682987590740e-13 0.000000000000e+00 2.391972568662e-15 2.349510018700e-16 -8.469910876467e-17 + 1246 1.130338205860e-10 3.579375548606e-12 9.067428020065e-13 0.000000000000e+00 2.384323770204e-15 2.388488052941e-16 -8.531566872391e-17 + 1247 1.124644007792e-10 3.606012980282e-12 8.430334198648e-13 0.000000000000e+00 2.376704516411e-15 2.428066995800e-16 -8.591411369270e-17 + 1248 1.119020018936e-10 3.632339862280e-12 7.772114083923e-13 0.000000000000e+00 2.369114714848e-15 2.468211433774e-16 -8.649466701705e-17 + 1249 1.113467059448e-10 3.658348744475e-12 7.093178715619e-13 0.000000000000e+00 2.361554271310e-15 2.508885714263e-16 -8.705755392006e-17 + 1250 1.107985952775e-10 3.684032137329e-12 6.393942222230e-13 0.000000000000e+00 2.354023089813e-15 2.550053945086e-16 -8.760300150595e-17 + 1251 1.102577525666e-10 3.709382511826e-12 5.674821827489e-13 0.000000000000e+00 2.346521072590e-15 2.591679993990e-16 -8.813123876411e-17 + 1252 1.097242608173e-10 3.734392299395e-12 4.936237856836e-13 0.000000000000e+00 2.339048120088e-15 2.633727488166e-16 -8.864249657322e-17 + 1253 1.091982033658e-10 3.759053891837e-12 4.178613743889e-13 0.000000000000e+00 2.331604130960e-15 2.676159813767e-16 -8.913700770522e-17 + 1254 1.086796638800e-10 3.783359641254e-12 3.402376036915e-13 0.000000000000e+00 2.324189002065e-15 2.718940115416e-16 -8.961500682948e-17 + 1255 1.081687263597e-10 3.807301859972e-12 2.607954405304e-13 0.000000000000e+00 2.316802628462e-15 2.762031295722e-16 -9.007673051675e-17 + 1256 1.076654751371e-10 3.830872820475e-12 1.795781646033e-13 0.000000000000e+00 2.309444903402e-15 2.805396014797e-16 -9.052241724333e-17 + 1257 1.071699948776e-10 3.854064755325e-12 9.662936901440e-14 0.000000000000e+00 2.302115718329e-15 2.848996689764e-16 -9.095230739506e-17 + 1258 1.066823705803e-10 3.876869857093e-12 1.199296092098e-14 0.000000000000e+00 2.294814962870e-15 2.892795494276e-16 -9.136664327139e-17 + 1259 1.062026875781e-10 3.899280278286e-12 -7.428683781926e-14 0.000000000000e+00 2.287542524836e-15 2.936754358030e-16 -9.176566908947e-17 + 1260 1.057310315387e-10 3.921288131271e-12 -1.621654900012e-13 0.000000000000e+00 2.280298290212e-15 2.980834966275e-16 -9.214963098821e-17 + 1261 1.052674884649e-10 3.942885488206e-12 -2.515981424253e-13 0.000000000000e+00 2.273082143158e-15 3.024998759334e-16 -9.251877703230e-17 + 1262 1.048121446951e-10 3.964064380965e-12 -3.425396252504e-13 0.000000000000e+00 2.265893965999e-15 3.069206932112e-16 -9.287335721633e-17 + 1263 1.043650869039e-10 3.984816801066e-12 -4.349444513465e-13 0.000000000000e+00 2.258733639224e-15 3.113420433612e-16 -9.321362346882e-17 + 1264 1.039264021025e-10 4.005134699596e-12 -5.287668156481e-13 0.000000000000e+00 2.251601041482e-15 3.157599966450e-16 -9.353982965626e-17 + 1265 1.034961776392e-10 4.025009987141e-12 -6.239605945067e-13 0.000000000000e+00 2.244496049574e-15 3.201705986365e-16 -9.385223158723e-17 + 1266 1.030745012002e-10 4.044434533710e-12 -7.204793450441e-13 0.000000000000e+00 2.237418538452e-15 3.245698701741e-16 -9.415108701643e-17 + 1267 1.026614608099e-10 4.063400168665e-12 -8.182763045050e-13 0.000000000000e+00 2.230368381211e-15 3.289538073110e-16 -9.443665564872e-17 + 1268 1.022571448312e-10 4.081898680646e-12 -9.173043896098e-13 0.000000000000e+00 2.223345449088e-15 3.333183812675e-16 -9.470919914323e-17 + 1269 1.018616419666e-10 4.099921817499e-12 -1.017516195908e-12 0.000000000000e+00 2.216349611456e-15 3.376595383821e-16 -9.496898111737e-17 + 1270 1.014750412580e-10 4.117461286204e-12 -1.118863997131e-12 0.000000000000e+00 2.209380735820e-15 3.419732000625e-16 -9.521626715096e-17 + 1271 1.010974320877e-10 4.134508752799e-12 -1.221299744545e-12 0.000000000000e+00 2.202438687809e-15 3.462552627379e-16 -9.545132479022e-17 + 1272 1.007289041790e-10 4.151055842310e-12 -1.324775066303e-12 0.000000000000e+00 2.195523331177e-15 3.505015978092e-16 -9.567442355187e-17 + 1273 1.003695475964e-10 4.167094138678e-12 -1.429241266799e-12 0.000000000000e+00 2.188634527795e-15 3.547080516016e-16 -9.588583492719e-17 + 1274 1.000194527459e-10 4.182615184682e-12 -1.534649326021e-12 0.000000000000e+00 2.181772137647e-15 3.588704453151e-16 -9.608583238609e-17 + 1275 9.967871037640e-11 4.197610481873e-12 -1.640949898902e-12 0.000000000000e+00 2.174936018827e-15 3.629845749763e-16 -9.627469138115e-17 + 1276 9.934741157924e-11 4.212071490495e-12 -1.748093314676e-12 0.000000000000e+00 2.168126027532e-15 3.670462113898e-16 -9.645268935168e-17 + 1277 9.902564778932e-11 4.225989629415e-12 -1.856029576229e-12 0.000000000000e+00 2.161342018058e-15 3.710511000893e-16 -9.662010572782e-17 + 1278 9.871351078536e-11 4.239356276049e-12 -1.964708359450e-12 0.000000000000e+00 2.154583842799e-15 3.749949612895e-16 -9.677722193457e-17 + 1279 9.841109269053e-11 4.252162766291e-12 -2.074079012588e-12 0.000000000000e+00 2.147851352236e-15 3.788734898371e-16 -9.692432139585e-17 + 1280 9.811848597291e-11 4.264400394436e-12 -2.184090555602e-12 0.000000000000e+00 2.141144394938e-15 3.826823551620e-16 -9.706168953858e-17 + 1281 9.783578344601e-11 4.276060413111e-12 -2.294691679517e-12 0.000000000000e+00 2.134462817557e-15 3.864172012294e-16 -9.718961379674e-17 + 1282 9.756307826929e-11 4.287134033201e-12 -2.405830745772e-12 0.000000000000e+00 2.127806464820e-15 3.900736464906e-16 -9.730838361541e-17 + 1283 9.730046394870e-11 4.297612423776e-12 -2.517455785576e-12 0.000000000000e+00 2.121175179526e-15 3.936472838345e-16 -9.741829045488e-17 + 1284 9.704803433716e-11 4.307486712016e-12 -2.629514499264e-12 0.000000000000e+00 2.114568802544e-15 3.971336805393e-16 -9.751962779463e-17 + 1285 9.680585750271e-11 4.316749675044e-12 -2.741956023890e-12 0.000000000000e+00 2.107987187487e-15 4.005295786114e-16 -9.761263642701e-17 + 1286 9.657389700637e-11 4.325400836624e-12 -2.854736259353e-12 0.000000000000e+00 2.101430244939e-15 4.038365108483e-16 -9.769733964848e-17 + 1287 9.635208972969e-11 4.333441428305e-12 -2.967812601582e-12 0.000000000000e+00 2.094897898721e-15 4.070572258206e-16 -9.777370620134e-17 + 1288 9.614037192440e-11 4.340872702825e-12 -3.081142179276e-12 0.000000000000e+00 2.088390071255e-15 4.101944912550e-16 -9.784170481413e-17 + 1289 9.593867921115e-11 4.347695934165e-12 -3.194681853377e-12 0.000000000000e+00 2.081906683560e-15 4.132510940729e-16 -9.790130420176e-17 + 1290 9.574694657802e-11 4.353912417598e-12 -3.308388216556e-12 0.000000000000e+00 2.075447655247e-15 4.162298404289e-16 -9.795247306557e-17 + 1291 9.556510837920e-11 4.359523469738e-12 -3.422217592696e-12 0.000000000000e+00 2.069012904517e-15 4.191335557494e-16 -9.799518009344e-17 + 1292 9.539309833362e-11 4.364530428588e-12 -3.536126036367e-12 0.000000000000e+00 2.062602348156e-15 4.219650847710e-16 -9.802939395989e-17 + 1293 9.523084952351e-11 4.368934653596e-12 -3.650069332313e-12 0.000000000000e+00 2.056215901534e-15 4.247272915792e-16 -9.805508332614e-17 + 1294 9.507829439306e-11 4.372737525698e-12 -3.764002994932e-12 0.000000000000e+00 2.049853478599e-15 4.274230596473e-16 -9.807221684021e-17 + 1295 9.493536474705e-11 4.375940447372e-12 -3.877882267753e-12 0.000000000000e+00 2.043514991875e-15 4.300552918741e-16 -9.808076313703e-17 + 1296 9.480199174941e-11 4.378544842689e-12 -3.991662122926e-12 0.000000000000e+00 2.037200352457e-15 4.326269106232e-16 -9.808069083849e-17 + 1297 9.467810592191e-11 4.380552157357e-12 -4.105297260694e-12 0.000000000000e+00 2.030909470010e-15 4.351408577616e-16 -9.807196855357e-17 + 1298 9.456363714272e-11 4.381963858778e-12 -4.218742108882e-12 0.000000000000e+00 2.024642252765e-15 4.376000946975e-16 -9.805456487839e-17 + 1299 9.445851464508e-11 4.382781436094e-12 -4.331950822372e-12 0.000000000000e+00 2.018398607513e-15 4.400076024199e-16 -9.802844839635e-17 + 1300 9.436266701587e-11 4.383006400236e-12 -4.444877282591e-12 0.000000000000e+00 2.012178439603e-15 4.423663815361e-16 -9.799358767815e-17 + 1301 9.427602219424e-11 4.382640283978e-12 -4.557475096984e-12 0.000000000000e+00 2.005981652940e-15 4.446794523112e-16 -9.794995128195e-17 + 1302 9.419850747027e-11 4.381684641984e-12 -4.669697598503e-12 0.000000000000e+00 1.999808149980e-15 4.469498547060e-16 -9.789750775341e-17 + 1303 9.413004948354e-11 4.380141050857e-12 -4.781497845084e-12 0.000000000000e+00 1.993657831727e-15 4.491806484160e-16 -9.783622562582e-17 + 1304 9.407057422175e-11 4.378011109191e-12 -4.892828619131e-12 0.000000000000e+00 1.987530597730e-15 4.513749129096e-16 -9.776607342013e-17 + 1305 9.402000701936e-11 4.375296437622e-12 -5.003642426995e-12 0.000000000000e+00 1.981426346077e-15 4.535357474670e-16 -9.768701964510e-17 + 1306 9.397827255622e-11 4.371998678875e-12 -5.113891498455e-12 0.000000000000e+00 1.975344973396e-15 4.556662712185e-16 -9.759903279737e-17 + 1307 9.394529485615e-11 4.368119497813e-12 -5.223527786203e-12 0.000000000000e+00 1.969286374848e-15 4.577696231832e-16 -9.750208136153e-17 + 1308 9.392099728559e-11 4.363660581494e-12 -5.332502965321e-12 0.000000000000e+00 1.963250444123e-15 4.598489623075e-16 -9.739613381022e-17 + 1309 9.390530255217e-11 4.358623639211e-12 -5.440768432764e-12 0.000000000000e+00 1.957237073440e-15 4.619074675037e-16 -9.728115860425e-17 + 1310 9.389813270342e-11 4.353010402551e-12 -5.548275306844e-12 0.000000000000e+00 1.951246153543e-15 4.639483376886e-16 -9.715712419262e-17 + 1311 9.389940912529e-11 4.346822625437e-12 -5.654974426706e-12 0.000000000000e+00 1.945277573692e-15 4.659747918219e-16 -9.702399901268e-17 + 1312 9.390905254083e-11 4.340062084187e-12 -5.760816351813e-12 0.000000000000e+00 1.939331221667e-15 4.679900689450e-16 -9.688175149020e-17 + 1313 9.392698300877e-11 4.332730577553e-12 -5.865751361427e-12 0.000000000000e+00 1.933406983761e-15 4.699974282194e-16 -9.673035003942e-17 + 1314 9.395311992219e-11 4.324829926780e-12 -5.969729454090e-12 0.000000000000e+00 1.927504744776e-15 4.720001489652e-16 -9.656976306320e-17 + 1315 9.398738200707e-11 4.316361975653e-12 -6.072700347104e-12 0.000000000000e+00 1.921624388020e-15 4.740015306998e-16 -9.639995895304e-17 + 1316 9.402968732097e-11 4.307328590544e-12 -6.174613476015e-12 0.000000000000e+00 1.915765795306e-15 4.760048931766e-16 -9.622090608925e-17 + 1317 9.407995325160e-11 4.297731660468e-12 -6.275417994092e-12 0.000000000000e+00 1.909928846943e-15 4.780135764232e-16 -9.603257284098e-17 + 1318 9.413809651547e-11 4.287573097125e-12 -6.375062771808e-12 0.000000000000e+00 1.904113421739e-15 4.800309407802e-16 -9.583492756631e-17 + 1319 9.420403315651e-11 4.276854834958e-12 -6.473496396324e-12 0.000000000000e+00 1.898319396994e-15 4.820603669396e-16 -9.562793861239e-17 + 1320 9.427767854467e-11 4.265578831198e-12 -6.570667170969e-12 0.000000000000e+00 1.892546648495e-15 4.841052559837e-16 -9.541157431546e-17 + 1321 9.435894737452e-11 4.253747065914e-12 -6.666523114719e-12 0.000000000000e+00 1.886795050517e-15 4.861690294233e-16 -9.518580300100e-17 + 1322 9.444775366394e-11 4.241361542066e-12 -6.761011961682e-12 0.000000000000e+00 1.881064475817e-15 4.882551292363e-16 -9.495059298378e-17 + 1323 9.454401075265e-11 4.228424285552e-12 -6.854081160578e-12 0.000000000000e+00 1.875354795628e-15 4.903670179067e-16 -9.470591256798e-17 + 1324 9.464762066117e-11 4.214938377276e-12 -6.945683431899e-12 0.000000000000e+00 1.869665891329e-15 4.925070552370e-16 -9.445174754698e-17 + 1325 9.475844204164e-11 4.200911061712e-12 -7.035793507597e-12 0.000000000000e+00 1.863997689587e-15 4.946731151375e-16 -9.418815391426e-17 + 1326 9.487632187028e-11 4.186350672770e-12 -7.124391575226e-12 0.000000000000e+00 1.858350127590e-15 4.968619315520e-16 -9.391520573480e-17 + 1327 9.500110605295e-11 4.171265605012e-12 -7.211457736898e-12 0.000000000000e+00 1.852723141420e-15 4.990702182559e-16 -9.363297769942e-17 + 1328 9.513263942297e-11 4.155664313771e-12 -7.296972009140e-12 0.000000000000e+00 1.847116666041e-15 5.012946688172e-16 -9.334154512611e-17 + 1329 9.527076573908e-11 4.139555315274e-12 -7.380914322760e-12 0.000000000000e+00 1.841530635304e-15 5.035319565591e-16 -9.304098396127e-17 + 1330 9.541532768326e-11 4.122947186761e-12 -7.463264522707e-12 0.000000000000e+00 1.835964981937e-15 5.057787345209e-16 -9.273137078104e-17 + 1331 9.556616685870e-11 4.105848566606e-12 -7.544002367930e-12 0.000000000000e+00 1.830419637550e-15 5.080316354203e-16 -9.241278279254e-17 + 1332 9.572312378761e-11 4.088268154440e-12 -7.623107531244e-12 0.000000000000e+00 1.824894532628e-15 5.102872716147e-16 -9.208529783520e-17 + 1333 9.588603790918e-11 4.070214711266e-12 -7.700559599187e-12 0.000000000000e+00 1.819389596527e-15 5.125422350636e-16 -9.174899438202e-17 + 1334 9.605474757741e-11 4.051697059583e-12 -7.776338071885e-12 0.000000000000e+00 1.813904757475e-15 5.147930972893e-16 -9.140395154086e-17 + 1335 9.622909005905e-11 4.032724083509e-12 -7.850422362912e-12 0.000000000000e+00 1.808439942567e-15 5.170364093398e-16 -9.105024905573e-17 + 1336 9.640890153146e-11 4.013304728897e-12 -7.922791799151e-12 0.000000000000e+00 1.802995077764e-15 5.192687017496e-16 -9.068796730807e-17 + 1337 9.659401708052e-11 3.993448003455e-12 -7.993425620655e-12 0.000000000000e+00 1.797570087888e-15 5.214864845018e-16 -9.031718731805e-17 + 1338 9.678427069851e-11 3.973162976873e-12 -8.062302980512e-12 0.000000000000e+00 1.792164896622e-15 5.236862469900e-16 -8.993799074586e-17 + 1339 9.697949528199e-11 3.952458780937e-12 -8.129402944702e-12 0.000000000000e+00 1.786779426504e-15 5.258644579795e-16 -8.955045989295e-17 + 1340 9.717952262971e-11 3.931344609651e-12 -8.194704491962e-12 0.000000000000e+00 1.781413598928e-15 5.280175655698e-16 -8.915467770338e-17 + 1341 9.738418344050e-11 3.909829719360e-12 -8.258186513644e-12 0.000000000000e+00 1.776067334139e-15 5.301419971556e-16 -8.875072776508e-17 + 1342 9.759330731114e-11 3.887923428868e-12 -8.319827813580e-12 0.000000000000e+00 1.770740551233e-15 5.322341593889e-16 -8.833869431111e-17 + 1343 9.780672273427e-11 3.865635119560e-12 -8.379607107941e-12 0.000000000000e+00 1.765433168148e-15 5.342904381407e-16 -8.791866222098e-17 + 1344 9.802425709627e-11 3.842974235520e-12 -8.437503025101e-12 0.000000000000e+00 1.760145101671e-15 5.363071984626e-16 -8.749071702194e-17 + 1345 9.824573667516e-11 3.819950283658e-12 -8.493494105495e-12 0.000000000000e+00 1.754876267425e-15 5.382807845488e-16 -8.705494489024e-17 + 1346 9.847098663849e-11 3.796572833820e-12 -8.547558801485e-12 0.000000000000e+00 1.749626579875e-15 5.402075196974e-16 -8.661143265243e-17 + 1347 9.869983104122e-11 3.772851518918e-12 -8.599675477215e-12 0.000000000000e+00 1.744395952320e-15 5.420837062725e-16 -8.616026778664e-17 + 1348 9.893209282360e-11 3.748796035046e-12 -8.649822408480e-12 0.000000000000e+00 1.739184296893e-15 5.439056256659e-16 -8.570153842388e-17 + 1349 9.916759380911e-11 3.724416141603e-12 -8.697977782582e-12 0.000000000000e+00 1.733991524555e-15 5.456695382587e-16 -8.523533334933e-17 + 1350 9.940615470228e-11 3.699721661411e-12 -8.744119698194e-12 0.000000000000e+00 1.728817545099e-15 5.473716833828e-16 -8.476174200358e-17 + 1351 9.964759508666e-11 3.674722480834e-12 -8.788226165221e-12 0.000000000000e+00 1.723662267139e-15 5.490082792834e-16 -8.428085448399e-17 + 1352 9.989173342263e-11 3.649428549905e-12 -8.830275104660e-12 0.000000000000e+00 1.718525598113e-15 5.505755230797e-16 -8.379276154591e-17 + 1353 1.001383870453e-10 3.623849882442e-12 -8.870244348466e-12 0.000000000000e+00 1.713407444279e-15 5.520695907276e-16 -8.329755460400e-17 + 1354 1.003873721626e-10 3.597996556166e-12 -8.908111639406e-12 0.000000000000e+00 1.708307710711e-15 5.534866369807e-16 -8.279532573352e-17 + 1355 1.006385038528e-10 3.571878712828e-12 -8.943854630928e-12 0.000000000000e+00 1.703226301299e-15 5.548227953523e-16 -8.228616767159e-17 + 1356 1.008915960626e-10 3.545506558324e-12 -8.977450887019e-12 0.000000000000e+00 1.698163118744e-15 5.560741780775e-16 -8.177017381851e-17 + 1357 1.011464616052e-10 3.518890362820e-12 -9.008877882065e-12 0.000000000000e+00 1.693118064555e-15 5.572368760742e-16 -8.124743823901e-17 + 1358 1.014029121578e-10 3.492040460867e-12 -9.038113000716e-12 0.000000000000e+00 1.688091039048e-15 5.583069589054e-16 -8.071805566357e-17 + 1359 1.016607582599e-10 3.464967251528e-12 -9.065133537745e-12 0.000000000000e+00 1.683081941344e-15 5.592804747406e-16 -8.018212148970e-17 + 1360 1.019198093109e-10 3.437681198493e-12 -9.089916697910e-12 0.000000000000e+00 1.678090669364e-15 5.601534503178e-16 -7.963973178318e-17 + 1361 1.021798735680e-10 3.410192830202e-12 -9.112439595817e-12 0.000000000000e+00 1.673117119827e-15 5.609218909051e-16 -7.909098327943e-17 + 1362 1.024407581443e-10 3.382512739966e-12 -9.132679255778e-12 0.000000000000e+00 1.668161188248e-15 5.615817802622e-16 -7.853597338472e-17 + 1363 1.027022775495e-10 3.354651449999e-12 -9.150618385936e-12 0.000000000000e+00 1.663222778244e-15 5.621303396213e-16 -7.797479785568e-17 + 1364 1.029642794170e-10 3.326619001669e-12 -9.166262768681e-12 0.000000000000e+00 1.658301829561e-15 5.625698194827e-16 -7.740754380784e-17 + 1365 1.032266190485e-10 3.298425361093e-12 -9.179624056526e-12 0.000000000000e+00 1.653398290344e-15 5.629037484227e-16 -7.683429663463e-17 + 1366 1.034891508948e-10 3.270080554935e-12 -9.190714015008e-12 0.000000000000e+00 1.648512107849e-15 5.631356778077e-16 -7.625514232353e-17 + 1367 1.037517285541e-10 3.241594670517e-12 -9.199544522923e-12 0.000000000000e+00 1.643643228445e-15 5.632691818380e-16 -7.567016745722e-17 + 1368 1.040142047704e-10 3.212977855932e-12 -9.206127572563e-12 0.000000000000e+00 1.638791597611e-15 5.633078575907e-16 -7.507945921467e-17 + 1369 1.042764314319e-10 3.184240320158e-12 -9.210475269942e-12 0.000000000000e+00 1.633957159932e-15 5.632553250623e-16 -7.448310537234e-17 + 1370 1.045382595698e-10 3.155392333165e-12 -9.212599835040e-12 0.000000000000e+00 1.629139859101e-15 5.631152272120e-16 -7.388119430527e-17 + 1371 1.047995393561e-10 3.126444226030e-12 -9.212513602031e-12 0.000000000000e+00 1.624339637912e-15 5.628912300047e-16 -7.327381498825e-17 + 1372 1.050601201027e-10 3.097406391048e-12 -9.210229019519e-12 0.000000000000e+00 1.619556438261e-15 5.625870224539e-16 -7.266105699692e-17 + 1373 1.053198502595e-10 3.068289281843e-12 -9.205758650773e-12 0.000000000000e+00 1.614790201143e-15 5.622063166646e-16 -7.204301050893e-17 + 1374 1.055785774128e-10 3.039103413482e-12 -9.199115173959e-12 0.000000000000e+00 1.610040866652e-15 5.617528478768e-16 -7.141976630507e-17 + 1375 1.058361482838e-10 3.009859362584e-12 -9.190311382376e-12 0.000000000000e+00 1.605308373976e-15 5.612303745076e-16 -7.079141577043e-17 + 1376 1.060924087273e-10 2.980567767432e-12 -9.179360184690e-12 0.000000000000e+00 1.600592661394e-15 5.606426781951e-16 -7.015805089548e-17 + 1377 1.063472037298e-10 2.951239328087e-12 -9.166274605167e-12 0.000000000000e+00 1.595893666280e-15 5.599935638407e-16 -6.951976427726e-17 + 1378 1.066003774079e-10 2.921884806498e-12 -9.151067783910e-12 0.000000000000e+00 1.591211325095e-15 5.592868596528e-16 -6.887664912051e-17 + 1379 1.068517730072e-10 2.892515026615e-12 -9.133752977090e-12 0.000000000000e+00 1.586545573385e-15 5.585264171889e-16 -6.822879923876e-17 + 1380 1.071012329002e-10 2.863140874497e-12 -9.114343557181e-12 0.000000000000e+00 1.581896345785e-15 5.577161113995e-16 -6.757630905555e-17 + 1381 1.073485985851e-10 2.833773298429e-12 -9.092853013195e-12 0.000000000000e+00 1.577263576009e-15 5.568598406705e-16 -6.691927360546e-17 + 1382 1.075937106842e-10 2.804423309031e-12 -9.069294950917e-12 0.000000000000e+00 1.572647196854e-15 5.559615268663e-16 -6.625778853536e-17 + 1383 1.078364089421e-10 2.775101979370e-12 -9.043683093137e-12 0.000000000000e+00 1.568047140195e-15 5.550251153731e-16 -6.559195010544e-17 + 1384 1.080765322245e-10 2.745820445070e-12 -9.016031279885e-12 0.000000000000e+00 1.563463336983e-15 5.540545751415e-16 -6.492185519043e-17 + 1385 1.083139185163e-10 2.716589904428e-12 -8.986353468666e-12 0.000000000000e+00 1.558895717244e-15 5.530538987296e-16 -6.424760128070e-17 + 1386 1.085484049202e-10 2.687421618523e-12 -8.954663734694e-12 0.000000000000e+00 1.554344210077e-15 5.520271023463e-16 -6.356928648338e-17 + 1387 1.087798276553e-10 2.658326911325e-12 -8.920976271125e-12 0.000000000000e+00 1.549808743650e-15 5.509782258938e-16 -6.288700952354e-17 + 1388 1.090080220553e-10 2.629317169814e-12 -8.885305389293e-12 0.000000000000e+00 1.545289245202e-15 5.499113330110e-16 -6.220086974529e-17 + 1389 1.092328225670e-10 2.600403844084e-12 -8.847665518943e-12 0.000000000000e+00 1.540785641035e-15 5.488305111163e-16 -6.151096711292e-17 + 1390 1.094540627486e-10 2.571598447459e-12 -8.808071208464e-12 0.000000000000e+00 1.536297856518e-15 5.477398714506e-16 -6.081740221207e-17 + 1391 1.096715752687e-10 2.542912556606e-12 -8.766537125126e-12 0.000000000000e+00 1.531825816079e-15 5.466435491204e-16 -6.012027625083e-17 + 1392 1.098851919041e-10 2.514357811643e-12 -8.723078055314e-12 0.000000000000e+00 1.527369443210e-15 5.455457031407e-16 -5.941969106088e-17 + 1393 1.100947435384e-10 2.485945916251e-12 -8.677708904758e-12 0.000000000000e+00 1.522928660459e-15 5.444505164779e-16 -5.871574909864e-17 + 1394 1.103000601607e-10 2.457688637789e-12 -8.630444698772e-12 0.000000000000e+00 1.518503389428e-15 5.433621960932e-16 -5.800855344642e-17 + 1395 1.105009708639e-10 2.429597807405e-12 -8.581300582486e-12 0.000000000000e+00 1.514093550778e-15 5.422849729850e-16 -5.729820781350e-17 + 1396 1.106973038430e-10 2.401685320144e-12 -8.530291821082e-12 0.000000000000e+00 1.509699064216e-15 5.412231022323e-16 -5.658481653735e-17 + 1397 1.108888863937e-10 2.373963135063e-12 -8.477433800025e-12 0.000000000000e+00 1.505319848503e-15 5.401808630378e-16 -5.586848458469e-17 + 1398 1.110755449108e-10 2.346443275343e-12 -8.422742025300e-12 0.000000000000e+00 1.500955821446e-15 5.391625587703e-16 -5.514931755266e-17 + 1399 1.112571048866e-10 2.319137828400e-12 -8.366232123644e-12 0.000000000000e+00 1.496606899898e-15 5.381725170086e-16 -5.442742166997e-17 + 1400 1.114333909096e-10 2.292058945994e-12 -8.307919842782e-12 0.000000000000e+00 1.492272999756e-15 5.372150895835e-16 -5.370290379801e-17 + 1401 1.116042266625e-10 2.265218844348e-12 -8.247821051661e-12 0.000000000000e+00 1.487954035957e-15 5.362946526215e-16 -5.297587143199e-17 + 1402 1.117694551890e-10 2.238628706655e-12 -8.185954517238e-12 0.000000000000e+00 1.483649929924e-15 5.354144208040e-16 -5.224643133687e-17 + 1403 1.119289999281e-10 2.212295377890e-12 -8.122350266063e-12 0.000000000000e+00 1.479360631977e-15 5.345728765262e-16 -5.151468543724e-17 + 1404 1.120828043136e-10 2.186224635747e-12 -8.057041310378e-12 0.000000000000e+00 1.475086099149e-15 5.337673035776e-16 -5.078073488683e-17 + 1405 1.122308115627e-10 2.160422285154e-12 -7.990060879884e-12 0.000000000000e+00 1.470826287765e-15 5.329949695160e-16 -5.004468143087e-17 + 1406 1.123729646765e-10 2.134894158319e-12 -7.921442422137e-12 0.000000000000e+00 1.466581153433e-15 5.322531256388e-16 -4.930662740716e-17 + 1407 1.125092064391e-10 2.109646114771e-12 -7.851219602961e-12 0.000000000000e+00 1.462350651048e-15 5.315390069536e-16 -4.856667574714e-17 + 1408 1.126394794175e-10 2.084684041407e-12 -7.779426306842e-12 0.000000000000e+00 1.458134734792e-15 5.308498321485e-16 -4.782492997690e-17 + 1409 1.127637259613e-10 2.060013852536e-12 -7.706096637339e-12 0.000000000000e+00 1.453933358124e-15 5.301828035630e-16 -4.708149421828e-17 + 1410 1.128818882023e-10 2.035641489927e-12 -7.631264917483e-12 0.000000000000e+00 1.449746473789e-15 5.295351071586e-16 -4.633647318988e-17 + 1411 1.129939080543e-10 2.011572922847e-12 -7.554965690185e-12 0.000000000000e+00 1.445574033807e-15 5.289039124894e-16 -4.558997220817e-17 + 1412 1.130997272126e-10 1.987814148113e-12 -7.477233718633e-12 0.000000000000e+00 1.441415989477e-15 5.282863726730e-16 -4.484209718846e-17 + 1413 1.131992871537e-10 1.964371190132e-12 -7.398103986703e-12 0.000000000000e+00 1.437272291375e-15 5.276796243607e-16 -4.409295464603e-17 + 1414 1.132925291352e-10 1.941250100948e-12 -7.317611699357e-12 0.000000000000e+00 1.433142889350e-15 5.270807877088e-16 -4.334265169717e-17 + 1415 1.133793941953e-10 1.918456960285e-12 -7.235792283050e-12 0.000000000000e+00 1.429027732524e-15 5.264869663486e-16 -4.259129606018e-17 + 1416 1.134598231524e-10 1.895997875595e-12 -7.152681386131e-12 0.000000000000e+00 1.424926769291e-15 5.258952473574e-16 -4.183899605648e-17 + 1417 1.135337566050e-10 1.873878982099e-12 -7.068314879249e-12 0.000000000000e+00 1.420839947312e-15 5.253027012290e-16 -4.108586061165e-17 + 1418 1.136011349313e-10 1.852106442834e-12 -6.982728855754e-12 0.000000000000e+00 1.416767213520e-15 5.247063818446e-16 -4.033199925646e-17 + 1419 1.136618982886e-10 1.830686448697e-12 -6.895959632103e-12 0.000000000000e+00 1.412708514109e-15 5.241033264433e-16 -3.957752212796e-17 + 1420 1.137159866134e-10 1.809625218490e-12 -6.808043748262e-12 0.000000000000e+00 1.408663794542e-15 5.234905555926e-16 -3.882253997051e-17 + 1421 1.137633396209e-10 1.788928998966e-12 -6.719017968111e-12 0.000000000000e+00 1.404632999544e-15 5.228650731594e-16 -3.806716413681e-17 + 1422 1.138038968047e-10 1.768604064871e-12 -6.628919279846e-12 0.000000000000e+00 1.400616073100e-15 5.222238662802e-16 -3.731150658902e-17 + 1423 1.138375974364e-10 1.748656718990e-12 -6.537784896384e-12 0.000000000000e+00 1.396612958456e-15 5.215639053323e-16 -3.655567989974e-17 + 1424 1.138643805653e-10 1.729093292195e-12 -6.445652255765e-12 0.000000000000e+00 1.392623598116e-15 5.208821439040e-16 -3.579979725312e-17 + 1425 1.138841850181e-10 1.709920143484e-12 -6.352559021556e-12 0.000000000000e+00 1.388647933841e-15 5.201755187655e-16 -3.504397244587e-17 + 1426 1.138969493986e-10 1.691143660029e-12 -6.258543083258e-12 0.000000000000e+00 1.384685906646e-15 5.194409498394e-16 -3.428831988835e-17 + 1427 1.139026120875e-10 1.672770257222e-12 -6.163642556702e-12 0.000000000000e+00 1.380737456801e-15 5.186753401715e-16 -3.353295460560e-17 + 1428 1.139011112419e-10 1.654806378717e-12 -6.067895784462e-12 0.000000000000e+00 1.376802523825e-15 5.178755759014e-16 -3.277799223839e-17 + 1429 1.138923847948e-10 1.637258496477e-12 -5.971341336251e-12 0.000000000000e+00 1.372881046491e-15 5.170385262330e-16 -3.202354904429e-17 + 1430 1.138763704553e-10 1.620133110817e-12 -5.874018009327e-12 0.000000000000e+00 1.368972962817e-15 5.161610434056e-16 -3.126974189872e-17 + 1431 1.138530057078e-10 1.603436750449e-12 -5.775964828899e-12 0.000000000000e+00 1.365078210071e-15 5.152399626639e-16 -3.051668829600e-17 + 1432 1.138222278119e-10 1.587175972528e-12 -5.677221048527e-12 0.000000000000e+00 1.361196724764e-15 5.142721022292e-16 -2.976450635038e-17 + 1433 1.137839738021e-10 1.571357362697e-12 -5.577826150527e-12 0.000000000000e+00 1.357328442652e-15 5.132542632699e-16 -2.901331479715e-17 + 1434 1.137381804873e-10 1.555987535130e-12 -5.477819846377e-12 0.000000000000e+00 1.353473298732e-15 5.121832298719e-16 -2.826323299363e-17 + 1435 1.136847844508e-10 1.541073132578e-12 -5.377242077115e-12 0.000000000000e+00 1.349631227243e-15 5.110557690097e-16 -2.751438092025e-17 + 1436 1.136237220495e-10 1.526620826412e-12 -5.276133013749e-12 0.000000000000e+00 1.345802161662e-15 5.098686305167e-16 -2.676687918164e-17 + 1437 1.135549294140e-10 1.512637316672e-12 -5.174533057655e-12 0.000000000000e+00 1.341986034704e-15 5.086185470561e-16 -2.602084900761e-17 + 1438 1.134783424481e-10 1.499129332106e-12 -5.072482840984e-12 0.000000000000e+00 1.338182778319e-15 5.073022340912e-16 -2.527641225425e-17 + 1439 1.133938968286e-10 1.486103630220e-12 -4.970023227064e-12 0.000000000000e+00 1.334392323690e-15 5.059163898565e-16 -2.453369140499e-17 + 1440 1.133015280048e-10 1.473566997320e-12 -4.867195310807e-12 0.000000000000e+00 1.330614601236e-15 5.044576953281e-16 -2.379280957163e-17 + 1441 1.132011904238e-10 1.461524908411e-12 -4.764039050897e-12 0.000000000000e+00 1.326849546583e-15 5.029236876296e-16 -2.305387665344e-17 + 1442 1.130929154201e-10 1.449977491926e-12 -4.660589150381e-12 0.000000000000e+00 1.323097118568e-15 5.013153900074e-16 -2.231694765871e-17 + 1443 1.129767539130e-10 1.438923524132e-12 -4.556879135079e-12 0.000000000000e+00 1.319357281419e-15 4.996347084890e-16 -2.158206396231e-17 + 1444 1.128527572352e-10 1.428361765527e-12 -4.452942718317e-12 0.000000000000e+00 1.315629998789e-15 4.978835608913e-16 -2.084926710951e-17 + 1445 1.127209771331e-10 1.418290960807e-12 -4.348813801256e-12 0.000000000000e+00 1.311915233755e-15 4.960638768415e-16 -2.011859881620e-17 + 1446 1.125814657681e-10 1.408709838833e-12 -4.244526473217e-12 0.000000000000e+00 1.308212948819e-15 4.941775977981e-16 -1.939010096919e-17 + 1447 1.124342757174e-10 1.399617112599e-12 -4.140115012004e-12 0.000000000000e+00 1.304523105901e-15 4.922266770720e-16 -1.866381562645e-17 + 1448 1.122794599744e-10 1.391011479201e-12 -4.035613884227e-12 0.000000000000e+00 1.300845666346e-15 4.902130798478e-16 -1.793978501734e-17 + 1449 1.121170719498e-10 1.382891619801e-12 -3.931057745631e-12 0.000000000000e+00 1.297180590916e-15 4.881387832046e-16 -1.721805154290e-17 + 1450 1.119471654721e-10 1.375256199596e-12 -3.826481441417e-12 0.000000000000e+00 1.293527839791e-15 4.860057761375e-16 -1.649865777607e-17 + 1451 1.117697947890e-10 1.368103867786e-12 -3.721920006567e-12 0.000000000000e+00 1.289887372570e-15 4.838160595781e-16 -1.578164646198e-17 + 1452 1.115850145673e-10 1.361433257541e-12 -3.617408666170e-12 0.000000000000e+00 1.286259148264e-15 4.815716464164e-16 -1.506706051817e-17 + 1453 1.113928798944e-10 1.355242985969e-12 -3.512982835745e-12 0.000000000000e+00 1.282643125302e-15 4.792745615210e-16 -1.435494303486e-17 + 1454 1.111934462789e-10 1.349531654081e-12 -3.408678121567e-12 0.000000000000e+00 1.279039261525e-15 4.769268417609e-16 -1.364533727520e-17 + 1455 1.109867696512e-10 1.344297846761e-12 -3.304530320990e-12 0.000000000000e+00 1.275447514183e-15 4.745305360263e-16 -1.293828667553e-17 + 1456 1.107729063645e-10 1.339540132732e-12 -3.200575422773e-12 0.000000000000e+00 1.271867839941e-15 4.720877052496e-16 -1.223383484562e-17 + 1457 1.105519131955e-10 1.335257064524e-12 -3.096849607404e-12 0.000000000000e+00 1.268300194869e-15 4.696004224267e-16 -1.153202556895e-17 + 1458 1.103238473452e-10 1.331447178441e-12 -2.993389247425e-12 0.000000000000e+00 1.264744534449e-15 4.670707726381e-16 -1.083290280292e-17 + 1459 1.100887664397e-10 1.328108994529e-12 -2.890230907756e-12 0.000000000000e+00 1.261200813568e-15 4.645008530698e-16 -1.013651067917e-17 + 1460 1.098467285308e-10 1.325241016543e-12 -2.787411346017e-12 0.000000000000e+00 1.257668986516e-15 4.618927730346e-16 -9.442893503750e-18 + 1461 1.095977920973e-10 1.322841731912e-12 -2.684967512860e-12 0.000000000000e+00 1.254149006992e-15 4.592486539929e-16 -8.752095757451e-18 + 1462 1.093420160453e-10 1.320909611712e-12 -2.582936552285e-12 0.000000000000e+00 1.250640828094e-15 4.565706295743e-16 -8.064162096012e-18 + 1463 1.090794597091e-10 1.319443110629e-12 -2.481355801971e-12 0.000000000000e+00 1.247144402324e-15 4.538608455982e-16 -7.379137350390e-18 + 1464 1.088101828520e-10 1.318440666927e-12 -2.380262793595e-12 0.000000000000e+00 1.243659681584e-15 4.511214600951e-16 -6.697066527014e-18 + 1465 1.085342456673e-10 1.317900702415e-12 -2.279695253163e-12 0.000000000000e+00 1.240186617173e-15 4.483546433277e-16 -6.017994808035e-18 + 1466 1.082517087787e-10 1.317821622417e-12 -2.179691101328e-12 0.000000000000e+00 1.236725159792e-15 4.455625778121e-16 -5.341967551581e-18 + 1467 1.079626332414e-10 1.318201815737e-12 -2.080288453721e-12 0.000000000000e+00 1.233275259535e-15 4.427474583385e-16 -4.669030292012e-18 + 1468 1.076670805430e-10 1.319039654626e-12 -1.981525621268e-12 0.000000000000e+00 1.229836865893e-15 4.399114919929e-16 -3.999228740173e-18 + 1469 1.073651126036e-10 1.320333494752e-12 -1.883441110522e-12 0.000000000000e+00 1.226409927751e-15 4.370568981776e-16 -3.332608783648e-18 + 1470 1.070567917775e-10 1.322081675165e-12 -1.786073623984e-12 0.000000000000e+00 1.222994393388e-15 4.341859086327e-16 -2.669216487014e-18 + 1471 1.067421808533e-10 1.324282518264e-12 -1.689462060427e-12 0.000000000000e+00 1.219590210471e-15 4.313007674571e-16 -2.009098092093e-18 + 1472 1.064213430551e-10 1.326934329768e-12 -1.593645515222e-12 0.000000000000e+00 1.216197326061e-15 4.284037311294e-16 -1.352300018209e-18 + 1473 1.060943420430e-10 1.330035398679e-12 -1.498663280661e-12 0.000000000000e+00 1.212815686606e-15 4.254970685292e-16 -6.988688624408e-19 + 1474 1.057612419142e-10 1.333583997252e-12 -1.404554846286e-12 0.000000000000e+00 1.209445237944e-15 4.225830609582e-16 -4.885139987345e-20 + 1475 1.054221072034e-10 1.337578380961e-12 -1.311359899206e-12 0.000000000000e+00 1.206085925296e-15 4.196640021612e-16 5.977054161452e-19 + 1476 1.050770028839e-10 1.342016788469e-12 -1.219118324428e-12 0.000000000000e+00 1.202737693272e-15 4.167421983472e-16 1.240754453752e-18 + 1477 1.047259943684e-10 1.346897441590e-12 -1.127870205180e-12 0.000000000000e+00 1.199400485864e-15 4.138199682106e-16 1.880248402313e-18 + 1478 1.043691475094e-10 1.352218545263e-12 -1.037655823232e-12 0.000000000000e+00 1.196074246447e-15 4.108996429522e-16 2.516139772172e-18 + 1479 1.040065286005e-10 1.357978287516e-12 -9.485156592272e-13 0.000000000000e+00 1.192758917777e-15 4.079835663003e-16 3.148380894396e-18 + 1480 1.036382123827e-10 1.364174026814e-12 -8.604861882004e-13 0.000000000000e+00 1.189454446813e-15 4.050737666150e-16 3.776924805524e-18 + 1481 1.032643061491e-10 1.370799845398e-12 -7.735872200483e-13 0.000000000000e+00 1.186160799226e-15 4.021709696137e-16 4.401727911893e-18 + 1482 1.028849258804e-10 1.377848971701e-12 -6.878344345995e-13 0.000000000000e+00 1.182877945031e-15 3.992755759311e-16 5.022747351137e-18 + 1483 1.025001882612e-10 1.385314590700e-12 -6.032435751564e-13 0.000000000000e+00 1.179605853775e-15 3.963879881533e-16 5.639940109368e-18 + 1484 1.021102106817e-10 1.393189843835e-12 -5.198304485892e-13 0.000000000000e+00 1.176344494537e-15 3.935086108211e-16 6.253263020973e-18 + 1485 1.017151112391e-10 1.401467828934e-12 -4.376109254304e-13 0.000000000000e+00 1.173093835929e-15 3.906378504335e-16 6.862672768405e-18 + 1486 1.013150087382e-10 1.410141600134e-12 -3.566009399693e-13 0.000000000000e+00 1.169853846091e-15 3.877761154503e-16 7.468125881977e-18 + 1487 1.009100226932e-10 1.419204167805e-12 -2.768164903460e-13 0.000000000000e+00 1.166624492694e-15 3.849238162956e-16 8.069578739662e-18 + 1488 1.005002733286e-10 1.428648498474e-12 -1.982736386463e-13 0.000000000000e+00 1.163405742935e-15 3.820813653609e-16 8.666987566882e-18 + 1489 1.000858815807e-10 1.438467514745e-12 -1.209885109957e-13 0.000000000000e+00 1.160197563539e-15 3.792491770080e-16 9.260308436307e-18 + 1490 9.966696909855e-11 1.448654095225e-12 -4.497729765370e-14 0.000000000000e+00 1.156999920759e-15 3.764276675725e-16 9.849497267644e-18 + 1491 9.924365824527e-11 1.459201074445e-12 2.974374689156e-14 0.000000000000e+00 1.153812780371e-15 3.736172553667e-16 1.043450982744e-17 + 1492 9.881607209938e-11 1.470101242782e-12 1.031583038291e-13 0.000000000000e+00 1.150636107676e-15 3.708183606828e-16 1.101530172887e-17 + 1493 9.838433445592e-11 1.481347346386e-12 1.752499899307e-13 0.000000000000e+00 1.147469867497e-15 3.680314057960e-16 1.159182843152e-17 + 1494 9.794856982772e-11 1.492932087098e-12 2.460023574565e-13 0.000000000000e+00 1.144314024182e-15 3.652568149679e-16 1.216404524123e-17 + 1495 9.750890344660e-11 1.504848122376e-12 3.153988940607e-13 0.000000000000e+00 1.141168541597e-15 3.624950144492e-16 1.273190730982e-17 + 1496 9.706546126462e-11 1.517088065217e-12 3.834230226973e-13 0.000000000000e+00 1.138033383130e-15 3.597464324832e-16 1.329536963492e-17 + 1497 9.661836995529e-11 1.529644484080e-12 4.500581015252e-13 0.000000000000e+00 1.134908511687e-15 3.570114993088e-16 1.385438705978e-17 + 1498 9.616775691481e-11 1.542509902807e-12 5.152874238147e-13 0.000000000000e+00 1.131793889694e-15 3.542906471636e-16 1.440891427305e-17 + 1499 9.571375026329e-11 1.555676800549e-12 5.790942178523e-13 0.000000000000e+00 1.128689479092e-15 3.515843102873e-16 1.495890580855e-17 + 1500 9.525647884598e-11 1.569137611690e-12 6.414616468470e-13 0.000000000000e+00 1.125595241340e-15 3.488929249245e-16 1.550431604509e-17 + 1501 9.479607223451e-11 1.582884725762e-12 7.023728088354e-13 0.000000000000e+00 1.122511137410e-15 3.462169293281e-16 1.604509920630e-17 + 1502 9.433266072808e-11 1.596910487378e-12 7.618107365877e-13 0.000000000000e+00 1.119437127792e-15 3.435567637620e-16 1.658120936032e-17 + 1503 9.386637535473e-11 1.611207196147e-12 8.197583975131e-13 0.000000000000e+00 1.116373172484e-15 3.409128705051e-16 1.711260041973e-17 + 1504 9.339734787252e-11 1.625767106604e-12 8.761986935657e-13 0.000000000000e+00 1.113319231000e-15 3.382856938536e-16 1.763922614122e-17 + 1505 9.292571077082e-11 1.640582428124e-12 9.311144611497e-13 0.000000000000e+00 1.110275262365e-15 3.356756801244e-16 1.816104012547e-17 + 1506 9.245159727147e-11 1.655645324855e-12 9.844884710256e-13 0.000000000000e+00 1.107241225112e-15 3.330832776586e-16 1.867799581690e-17 + 1507 9.197514133006e-11 1.670947915631e-12 1.036303428215e-12 0.000000000000e+00 1.104217077285e-15 3.305089368241e-16 1.919004650349e-17 + 1508 9.149647763712e-11 1.686482273904e-12 1.086541971908e-12 0.000000000000e+00 1.101202776435e-15 3.279531100190e-16 1.969714531657e-17 + 1509 9.101574161938e-11 1.702240427660e-12 1.135186675367e-12 0.000000000000e+00 1.098198279621e-15 3.254162516750e-16 2.019924523058e-17 + 1510 9.053306944094e-11 1.718214359345e-12 1.182220045831e-12 0.000000000000e+00 1.095203543408e-15 3.228988182600e-16 2.069629906292e-17 + 1511 9.004859800459e-11 1.734396005787e-12 1.227624524426e-12 0.000000000000e+00 1.092218523866e-15 3.204012682816e-16 2.118825947371e-17 + 1512 8.956246495295e-11 1.750777258120e-12 1.271382486067e-12 0.000000000000e+00 1.089243176570e-15 3.179240622902e-16 2.167507896558e-17 + 1513 8.907480866972e-11 1.767349961706e-12 1.313476239364e-12 0.000000000000e+00 1.086277456597e-15 3.154676628821e-16 2.215670988350e-17 + 1514 8.858576828095e-11 1.784105916059e-12 1.353888026529e-12 0.000000000000e+00 1.083321318527e-15 3.130325347025e-16 2.263310441453e-17 + 1515 8.809548365621e-11 1.801036874764e-12 1.392600023278e-12 0.000000000000e+00 1.080374716439e-15 3.106191444491e-16 2.310421458766e-17 + 1516 8.760409540984e-11 1.818134545406e-12 1.429594338743e-12 0.000000000000e+00 1.077437603917e-15 3.082279608747e-16 2.356999227354e-17 + 1517 8.711174490219e-11 1.835390589489e-12 1.464853015371e-12 0.000000000000e+00 1.074509934039e-15 3.058594547906e-16 2.403038918437e-17 + 1518 8.661857424084e-11 1.852796622358e-12 1.498358028835e-12 0.000000000000e+00 1.071591659385e-15 3.035140990697e-16 2.448535687359e-17 + 1519 8.612472041137e-11 1.870344318206e-12 1.530095679518e-12 0.000000000000e+00 1.068682735938e-15 3.011921131966e-16 2.493485408001e-17 + 1520 8.563029760550e-11 1.888025726337e-12 1.560069813420e-12 0.000000000000e+00 1.065783134855e-15 2.988926942202e-16 2.537886883772e-17 + 1521 8.513541472527e-11 1.905832957796e-12 1.588288728378e-12 0.000000000000e+00 1.062892830811e-15 2.966147784017e-16 2.581739657863e-17 + 1522 8.464018123890e-11 1.923758080489e-12 1.614760794164e-12 0.000000000000e+00 1.060011798099e-15 2.943572959856e-16 2.625043280775e-17 + 1523 8.414470718172e-11 1.941793119112e-12 1.639494452625e-12 0.000000000000e+00 1.057140010627e-15 2.921191711897e-16 2.667797310334e-17 + 1524 8.364910315713e-11 1.959930055080e-12 1.662498217812e-12 0.000000000000e+00 1.054277441922e-15 2.898993221948e-16 2.710001311709e-17 + 1525 8.315348033750e-11 1.978160826456e-12 1.683780676119e-12 0.000000000000e+00 1.051424065126e-15 2.876966611348e-16 2.751654857429e-17 + 1526 8.265795046506e-11 1.996477327880e-12 1.703350486411e-12 0.000000000000e+00 1.048579852993e-15 2.855100940862e-16 2.792757527404e-17 + 1527 8.216262585288e-11 2.014871410494e-12 1.721216380162e-12 0.000000000000e+00 1.045744777896e-15 2.833385210583e-16 2.833308908937e-17 + 1528 8.166761938574e-11 2.033334881874e-12 1.737387161589e-12 0.000000000000e+00 1.042918811817e-15 2.811808359829e-16 2.873308596747e-17 + 1529 8.117304452110e-11 2.051859505956e-12 1.751871707783e-12 0.000000000000e+00 1.040101926352e-15 2.790359267043e-16 2.912756192984e-17 + 1530 8.067901528997e-11 2.070437002966e-12 1.764678968846e-12 0.000000000000e+00 1.037294092710e-15 2.769026749691e-16 2.951651307246e-17 + 1531 8.018564629789e-11 2.089059049346e-12 1.775817968022e-12 0.000000000000e+00 1.034495281707e-15 2.747799564158e-16 2.989993556598e-17 + 1532 7.969305272577e-11 2.107717277685e-12 1.785297801834e-12 0.000000000000e+00 1.031705463774e-15 2.726666405651e-16 3.027782565591e-17 + 1533 7.920135033092e-11 2.126403276648e-12 1.793127640215e-12 0.000000000000e+00 1.028924608947e-15 2.705615908096e-16 3.065017966275e-17 + 1534 7.871065544788e-11 2.145108590899e-12 1.799316726642e-12 0.000000000000e+00 1.026152686873e-15 2.684636644035e-16 3.101699398222e-17 + 1535 7.822108498937e-11 2.163824721036e-12 1.803874378274e-12 0.000000000000e+00 1.023389666805e-15 2.663717124528e-16 3.137826508540e-17 + 1536 7.773275644725e-11 2.182543123514e-12 1.806809986080e-12 0.000000000000e+00 1.020635517604e-15 2.642845799048e-16 3.173398951892e-17 + 1537 7.724578789338e-11 2.201255210579e-12 1.808133014977e-12 0.000000000000e+00 1.017890207737e-15 2.622011055381e-16 3.208416390514e-17 + 1538 7.676029798058e-11 2.219952350189e-12 1.807853003962e-12 0.000000000000e+00 1.015153705275e-15 2.601201219528e-16 3.242878494231e-17 + 1539 7.627640594355e-11 2.238625865949e-12 1.805979566248e-12 0.000000000000e+00 1.012425977896e-15 2.580404555597e-16 3.276784940477e-17 + 1540 7.579423159978e-11 2.257267037036e-12 1.802522389394e-12 0.000000000000e+00 1.009706992878e-15 2.559609265707e-16 3.310135414310e-17 + 1541 7.531389535047e-11 2.275867098129e-12 1.797491235443e-12 0.000000000000e+00 1.006996717105e-15 2.538803489887e-16 3.342929608432e-17 + 1542 7.483551818148e-11 2.294417239336e-12 1.790895941053e-12 0.000000000000e+00 1.004295117062e-15 2.517975305969e-16 3.375167223204e-17 + 1543 7.435922166420e-11 2.312908606121e-12 1.782746417633e-12 0.000000000000e+00 1.001602158835e-15 2.497112729492e-16 3.406847966669e-17 + 1544 7.388512795653e-11 2.331332299237e-12 1.773052651475e-12 0.000000000000e+00 9.989178081115e-16 2.476203713600e-16 3.437971554561e-17 + 1545 7.341335980377e-11 2.349679374651e-12 1.761824703889e-12 0.000000000000e+00 9.962420301768e-16 2.455236148939e-16 3.468537710332e-17 + 1546 7.294404053953e-11 2.367940843471e-12 1.749072711337e-12 0.000000000000e+00 9.935747899166e-16 2.434197863555e-16 3.498546165161e-17 + 1547 7.247729408668e-11 2.386107671877e-12 1.734806885566e-12 0.000000000000e+00 9.909160518143e-16 2.413076622796e-16 3.527996657979e-17 + 1548 7.201324495826e-11 2.404170781051e-12 1.719037513743e-12 0.000000000000e+00 9.882657799505e-16 2.391860129207e-16 3.556888935482e-17 + 1549 7.155201825841e-11 2.422121047100e-12 1.701774958588e-12 0.000000000000e+00 9.856239380025e-16 2.370536022431e-16 3.585222752150e-17 + 1550 7.109373968327e-11 2.439949300989e-12 1.683029658506e-12 0.000000000000e+00 9.829904892431e-16 2.349091879107e-16 3.612997870265e-17 + 1551 7.063853552191e-11 2.457646328466e-12 1.662812127727e-12 0.000000000000e+00 9.803653965401e-16 2.327515212768e-16 3.640214059929e-17 + 1552 7.018653265728e-11 2.475202869994e-12 1.641132956434e-12 0.000000000000e+00 9.777486223554e-16 2.305793473742e-16 3.666871099080e-17 + 1553 6.973785856710e-11 2.492609620677e-12 1.618002810897e-12 0.000000000000e+00 9.751401287441e-16 2.283914049047e-16 3.692968773510e-17 + 1554 6.929264132478e-11 2.509857230187e-12 1.593432433612e-12 0.000000000000e+00 9.725398773540e-16 2.261864262292e-16 3.718506876884e-17 + 1555 6.885100960038e-11 2.526936302696e-12 1.567432643428e-12 0.000000000000e+00 9.699478294245e-16 2.239631373577e-16 3.743485210758e-17 + 1556 6.841309266146e-11 2.543837396803e-12 1.540014335688e-12 0.000000000000e+00 9.673639457860e-16 2.217202579386e-16 3.767903584593e-17 + 1557 6.797902037410e-11 2.560551025460e-12 1.511188482356e-12 0.000000000000e+00 9.647881868590e-16 2.194565012494e-16 3.791761815777e-17 + 1558 6.754890896472e-11 2.577068498200e-12 1.480968294822e-12 0.000000000000e+00 9.622205158433e-16 2.171709999133e-16 3.815059964726e-17 + 1559 6.712281815772e-11 2.593384456614e-12 1.449375734232e-12 0.000000000000e+00 9.596609083203e-16 2.148645874435e-16 3.837799042573e-17 + 1560 6.670079363729e-11 2.609494362537e-12 1.416435062550e-12 0.000000000000e+00 9.571093427394e-16 2.125385287116e-16 3.859980310158e-17 + 1561 6.628288125011e-11 2.625393657878e-12 1.382170685678e-12 0.000000000000e+00 9.545657972354e-16 2.101940953229e-16 3.881605043576e-17 + 1562 6.586912700553e-11 2.641077764595e-12 1.346607153695e-12 0.000000000000e+00 9.520302496278e-16 2.078325656271e-16 3.902674534208e-17 + 1563 6.545957707585e-11 2.656542084663e-12 1.309769161102e-12 0.000000000000e+00 9.495026774205e-16 2.054552247295e-16 3.923190088746e-17 + 1564 6.505427779649e-11 2.671782000043e-12 1.271681547059e-12 0.000000000000e+00 9.469830578007e-16 2.030633645019e-16 3.943153029223e-17 + 1565 6.465327566623e-11 2.686792872651e-12 1.232369295628e-12 0.000000000000e+00 9.444713676385e-16 2.006582835931e-16 3.962564693047e-17 + 1566 6.425661734745e-11 2.701570044331e-12 1.191857536014e-12 0.000000000000e+00 9.419675834865e-16 1.982412874403e-16 3.981426433025e-17 + 1567 6.386434966628e-11 2.716108836823e-12 1.150171542802e-12 0.000000000000e+00 9.394716815788e-16 1.958136882798e-16 3.999739617393e-17 + 1568 6.347651961289e-11 2.730404551734e-12 1.107336736203e-12 0.000000000000e+00 9.369836378303e-16 1.933768051577e-16 4.017505629848e-17 + 1569 6.309317434169e-11 2.744452470507e-12 1.063378682291e-12 0.000000000000e+00 9.345034278364e-16 1.909319639410e-16 4.034725869575e-17 + 1570 6.271436117151e-11 2.758247854392e-12 1.018323093245e-12 0.000000000000e+00 9.320310268722e-16 1.884804973288e-16 4.051401751278e-17 + 1571 6.234012758587e-11 2.771785944413e-12 9.721958275884e-13 0.000000000000e+00 9.295664098919e-16 1.860237448624e-16 4.067534705205e-17 + 1572 6.197052123317e-11 2.785061961344e-12 9.250228904333e-13 0.000000000000e+00 9.271095515280e-16 1.835630529370e-16 4.083126177184e-17 + 1573 6.160558992691e-11 2.798071105671e-12 8.768304337170e-13 0.000000000000e+00 9.246604260909e-16 1.810997748122e-16 4.098177628645e-17 + 1574 6.124538164591e-11 2.810808557571e-12 8.276447564454e-13 0.000000000000e+00 9.222190075681e-16 1.786352706228e-16 4.112690536656e-17 + 1575 6.088994453454e-11 2.823269476874e-12 7.774923049323e-13 0.000000000000e+00 9.197852696235e-16 1.761709073902e-16 4.126666393948e-17 + 1576 6.053932690293e-11 2.835449003036e-12 7.263996730412e-13 0.000000000000e+00 9.173591855972e-16 1.737080590327e-16 4.140106708943e-17 + 1577 6.019357722718e-11 2.847342255111e-12 6.743936024253e-13 0.000000000000e+00 9.149407285041e-16 1.712481063768e-16 4.153013005789e-17 + 1578 5.985274414959e-11 2.858944331719e-12 6.215009827684e-13 0.000000000000e+00 9.125298710340e-16 1.687924371679e-16 4.165386824383e-17 + 1579 5.951687647888e-11 2.870250311013e-12 5.677488520258e-13 0.000000000000e+00 9.101265855506e-16 1.663424460812e-16 4.177229720406e-17 + 1580 5.918602319038e-11 2.881255250657e-12 5.131643966650e-13 0.000000000000e+00 9.077308440908e-16 1.638995347329e-16 4.188543265347e-17 + 1581 5.886023342631e-11 2.891954187787e-12 4.577749519060e-13 0.000000000000e+00 9.053426183642e-16 1.614651116906e-16 4.199329046534e-17 + 1582 5.853955649592e-11 2.902342138987e-12 4.016080019626e-13 0.000000000000e+00 9.029618797527e-16 1.590405924846e-16 4.209588667166e-17 + 1583 5.822404187579e-11 2.912414100257e-12 3.446911802829e-13 0.000000000000e+00 9.005885993092e-16 1.566273996187e-16 4.219323746338e-17 + 1584 5.791373920996e-11 2.922165046981e-12 2.870522697899e-13 0.000000000000e+00 8.982227477577e-16 1.542269625810e-16 4.228535919075e-17 + 1585 5.760869831022e-11 2.931589933901e-12 2.287192031224e-13 0.000000000000e+00 8.958642954922e-16 1.518407178547e-16 4.237226836354e-17 + 1586 5.730896915632e-11 2.940683695085e-12 1.697200628756e-13 0.000000000000e+00 8.935132125760e-16 1.494701089295e-16 4.245398165143e-17 + 1587 5.701460189614e-11 2.949441243895e-12 1.100830818418e-13 0.000000000000e+00 8.911694687415e-16 1.471165863120e-16 4.253051588422e-17 + 1588 5.672564684596e-11 2.957857472960e-12 4.983664325140e-14 0.000000000000e+00 8.888330333893e-16 1.447816075365e-16 4.260188805215e-17 + 1589 5.644215449064e-11 2.965927254145e-12 -1.099071898674e-14 0.000000000000e+00 8.865038755875e-16 1.424666371766e-16 4.266811530620e-17 + 1590 5.616417548388e-11 2.973645438520e-12 -7.237032004432e-14 0.000000000000e+00 8.841819640710e-16 1.401731468554e-16 4.272921495839e-17 + 1591 5.589176064841e-11 2.981006856332e-12 -1.342733239330e-13 0.000000000000e+00 8.818672672413e-16 1.379026152566e-16 4.278520448205e-17 + 1592 5.562496097619e-11 2.988006316972e-12 -1.966707432636e-13 0.000000000000e+00 8.795597531652e-16 1.356565281356e-16 4.283610151211e-17 + 1593 5.536382762869e-11 2.994638608948e-12 -2.595334390055e-13 0.000000000000e+00 8.772593895749e-16 1.334363783301e-16 4.288192384544e-17 + 1594 5.510841193703e-11 3.000898499854e-12 -3.228321202458e-13 0.000000000000e+00 8.749661438666e-16 1.312436657714e-16 4.292268944106e-17 + 1595 5.485876540228e-11 3.006780736337e-12 -3.865373439485e-13 0.000000000000e+00 8.726799831005e-16 1.290798974948e-16 4.295841642053e-17 + 1596 5.461493969561e-11 3.012280044072e-12 -4.506195147141e-13 0.000000000000e+00 8.704008739998e-16 1.269465876508e-16 4.298912306815e-17 + 1597 5.437697292256e-11 3.017392165131e-12 -5.150497666207e-13 0.000000000000e+00 8.681287855699e-16 1.248449268720e-16 4.301482970038e-17 + 1598 5.414484827764e-11 3.022116980544e-12 -5.798026180677e-13 0.000000000000e+00 8.658636969828e-16 1.227747870392e-16 4.303556429197e-17 + 1599 5.391853501145e-11 3.026455416286e-12 -6.448533407723e-13 0.000000000000e+00 8.636055897638e-16 1.207357074204e-16 4.305135690195e-17 + 1600 5.369800213181e-11 3.030408408481e-12 -7.101770796953e-13 0.000000000000e+00 8.613544451776e-16 1.187272244825e-16 4.306223780959e-17 + 1601 5.348321840335e-11 3.033976903430e-12 -7.757488528420e-13 0.000000000000e+00 8.591102442277e-16 1.167488718868e-16 4.306823751478e-17 + 1602 5.327415234711e-11 3.037161857625e-12 -8.415435510627e-13 0.000000000000e+00 8.568729676562e-16 1.148001804842e-16 4.306938673843e-17 + 1603 5.307077224008e-11 3.039964237767e-12 -9.075359378538e-13 0.000000000000e+00 8.546425959430e-16 1.128806783110e-16 4.306571642287e-17 + 1604 5.287304611477e-11 3.042385020787e-12 -9.737006491582e-13 0.000000000000e+00 8.524191093055e-16 1.109898905836e-16 4.305725773215e-17 + 1605 5.268094175882e-11 3.044425193864e-12 -1.040012193166e-12 0.000000000000e+00 8.502024876979e-16 1.091273396943e-16 4.304404205253e-17 + 1606 5.249442671452e-11 3.046085754445e-12 -1.106444950116e-12 0.000000000000e+00 8.479927108107e-16 1.072925452065e-16 4.302610099277e-17 + 1607 5.231346827843e-11 3.047367710260e-12 -1.172973172096e-12 0.000000000000e+00 8.457897580705e-16 1.054850238502e-16 4.300346638455e-17 + 1608 5.213803350094e-11 3.048272079345e-12 -1.239570982843e-12 0.000000000000e+00 8.435936086389e-16 1.037042895171e-16 4.297617028286e-17 + 1609 5.196808918581e-11 3.048799890059e-12 -1.306212377543e-12 0.000000000000e+00 8.414042414127e-16 1.019498532562e-16 4.294424496635e-17 + 1610 5.180360188979e-11 3.048952181101e-12 -1.372871222637e-12 0.000000000000e+00 8.392216350226e-16 1.002212232688e-16 4.290772293774e-17 + 1611 5.164453792216e-11 3.048730001533e-12 -1.439521255614e-12 0.000000000000e+00 8.370457678335e-16 9.851790490440e-17 4.286663692416e-17 + 1612 5.149086334431e-11 3.048134410795e-12 -1.506136084818e-12 0.000000000000e+00 8.348766179432e-16 9.683940065552e-17 4.282101987758e-17 + 1613 5.134254396933e-11 3.047166478724e-12 -1.572689189245e-12 0.000000000000e+00 8.327141631825e-16 9.518521015333e-17 4.277090497517e-17 + 1614 5.119954536156e-11 3.045827285575e-12 -1.639153918347e-12 0.000000000000e+00 8.305583811144e-16 9.355483016296e-17 4.271632561966e-17 + 1615 5.106183283616e-11 3.044117922039e-12 -1.705503491829e-12 0.000000000000e+00 8.284092490335e-16 9.194775457881e-17 4.265731543975e-17 + 1616 5.092937145870e-11 3.042039489260e-12 -1.771710999452e-12 0.000000000000e+00 8.262667439659e-16 9.036347441994e-17 4.259390829048e-17 + 1617 5.080212604474e-11 3.039593098854e-12 -1.837749400835e-12 0.000000000000e+00 8.241308426681e-16 8.880147782537e-17 4.252613825359e-17 + 1618 5.068006115937e-11 3.036779872932e-12 -1.903591525253e-12 0.000000000000e+00 8.220015216268e-16 8.726125004951e-17 4.245403963794e-17 + 1619 5.056314111681e-11 3.033600944113e-12 -1.969210071438e-12 0.000000000000e+00 8.198787570587e-16 8.574227345744e-17 4.237764697987e-17 + 1620 5.045132997996e-11 3.030057455545e-12 -2.034577607384e-12 0.000000000000e+00 8.177625249093e-16 8.424402752029e-17 4.229699504355e-17 + 1621 5.034459156001e-11 3.026150560927e-12 -2.099666570139e-12 0.000000000000e+00 8.156528008528e-16 8.276598881060e-17 4.221211882142e-17 + 1622 5.024288941596e-11 3.021881424520e-12 -2.164449265617e-12 0.000000000000e+00 8.135495602917e-16 8.130763099765e-17 4.212305353453e-17 + 1623 5.014618685424e-11 3.017251221174e-12 -2.228897868390e-12 0.000000000000e+00 8.114527783559e-16 7.986842484282e-17 4.202983463294e-17 + 1624 5.005444692826e-11 3.012261136343e-12 -2.292984421491e-12 0.000000000000e+00 8.093624299026e-16 7.844783819496e-17 4.193249779607e-17 + 1625 4.996763243797e-11 3.006912366102e-12 -2.356680836217e-12 0.000000000000e+00 8.072784895154e-16 7.704533598571e-17 4.183107893311e-17 + 1626 4.988570592948e-11 3.001206117170e-12 -2.419958891928e-12 0.000000000000e+00 8.052009315039e-16 7.566038022488e-17 4.172561418341e-17 + 1627 4.980862969456e-11 2.995143606925e-12 -2.482790235847e-12 0.000000000000e+00 8.031297299036e-16 7.429242999578e-17 4.161613991682e-17 + 1628 4.973636577029e-11 2.988726063424e-12 -2.545146382864e-12 0.000000000000e+00 8.010648584746e-16 7.294094145056e-17 4.150269273410e-17 + 1629 4.966887593857e-11 2.981954725425e-12 -2.606998715331e-12 0.000000000000e+00 7.990062907018e-16 7.160536780562e-17 4.138530946730e-17 + 1630 4.960612172574e-11 2.974830842398e-12 -2.668318482868e-12 0.000000000000e+00 7.969539997940e-16 7.028515933690e-17 4.126402718010e-17 + 1631 4.954806440211e-11 2.967355674552e-12 -2.729076802164e-12 0.000000000000e+00 7.949079586835e-16 6.897976337524e-17 4.113888316828e-17 + 1632 4.949466498156e-11 2.959530492848e-12 -2.789244656772e-12 0.000000000000e+00 7.928681400256e-16 6.768862430176e-17 4.100991496000e-17 + 1633 4.944588422111e-11 2.951356579023e-12 -2.848792896916e-12 0.000000000000e+00 7.908345161980e-16 6.641118354321e-17 4.087716031623e-17 + 1634 4.940168262049e-11 2.942835225603e-12 -2.907692239289e-12 0.000000000000e+00 7.888070593004e-16 6.514687956728e-17 4.074065723114e-17 + 1635 4.936202042170e-11 2.933967735924e-12 -2.965913266852e-12 0.000000000000e+00 7.867857411538e-16 6.389514787800e-17 4.060044393245e-17 + 1636 4.932685156469e-11 2.924756058662e-12 -3.023429415585e-12 0.000000000000e+00 7.847705354672e-16 6.265549143536e-17 4.045655823446e-17 + 1637 4.929610549605e-11 2.915204697575e-12 -3.080225964337e-12 0.000000000000e+00 7.827614243586e-16 6.142769261237e-17 4.030903558993e-17 + 1638 4.926970519682e-11 2.905318818872e-12 -3.136291124967e-12 0.000000000000e+00 7.807583918911e-16 6.021160312422e-17 4.015791102152e-17 + 1639 4.924757321086e-11 2.895103618307e-12 -3.191613062632e-12 0.000000000000e+00 7.787614219110e-16 5.900707377445e-17 4.000321976795e-17 + 1640 4.922963164422e-11 2.884564321220e-12 -3.246179895722e-12 0.000000000000e+00 7.767704980470e-16 5.781395445350e-17 3.984499728434e-17 + 1641 4.921580216441e-11 2.873706182588e-12 -3.299979695791e-12 0.000000000000e+00 7.747856037104e-16 5.663209413720e-17 3.968327924257e-17 + 1642 4.920600599972e-11 2.862534487071e-12 -3.353000487495e-12 0.000000000000e+00 7.728067220940e-16 5.546134088528e-17 3.951810153160e-17 + 1643 4.920016393850e-11 2.851054549059e-12 -3.405230248524e-12 0.000000000000e+00 7.708338361722e-16 5.430154183990e-17 3.934950025789e-17 + 1644 4.919819632846e-11 2.839271712721e-12 -3.456656909539e-12 0.000000000000e+00 7.688669287003e-16 5.315254322411e-17 3.917751174567e-17 + 1645 4.920002307602e-11 2.827191352050e-12 -3.507268354106e-12 0.000000000000e+00 7.669059822142e-16 5.201419034038e-17 3.900217253736e-17 + 1646 4.920556364555e-11 2.814818870909e-12 -3.557052418627e-12 0.000000000000e+00 7.649509790299e-16 5.088632756913e-17 3.882351939385e-17 + 1647 4.921473705869e-11 2.802159703083e-12 -3.605996892282e-12 0.000000000000e+00 7.630019012431e-16 4.976879836719e-17 3.864158929494e-17 + 1648 4.922746189368e-11 2.789219312322e-12 -3.654089516956e-12 0.000000000000e+00 7.610587307289e-16 4.866144526637e-17 3.845641943962e-17 + 1649 4.924365628463e-11 2.776003192389e-12 -3.701317987178e-12 0.000000000000e+00 7.591214491414e-16 4.756410987189e-17 3.826804724645e-17 + 1650 4.926323792084e-11 2.762516867108e-12 -3.747669950054e-12 0.000000000000e+00 7.571900379129e-16 4.647663286094e-17 3.807651035389e-17 + 1651 4.928612404608e-11 2.748765890412e-12 -3.793133005202e-12 0.000000000000e+00 7.552644782540e-16 4.539885398118e-17 3.788184662069e-17 + 1652 4.931223145792e-11 2.734755846387e-12 -3.837694704688e-12 0.000000000000e+00 7.533447511527e-16 4.433061204924e-17 3.768409412621e-17 + 1653 4.934147650701e-11 2.720492349322e-12 -3.881342552958e-12 0.000000000000e+00 7.514308373745e-16 4.327174494922e-17 3.748329117079e-17 + 1654 4.937377509641e-11 2.705981043756e-12 -3.924064006773e-12 0.000000000000e+00 7.495227174615e-16 4.222208963120e-17 3.727947627608e-17 + 1655 4.940904268082e-11 2.691227604523e-12 -3.965846475144e-12 0.000000000000e+00 7.476203717322e-16 4.118148210977e-17 3.707268818540e-17 + 1656 4.944719426600e-11 2.676237736803e-12 -4.006677319271e-12 0.000000000000e+00 7.457237802812e-16 4.014975746249e-17 3.686296586411e-17 + 1657 4.948814440795e-11 2.661017176165e-12 -4.046543852468e-12 0.000000000000e+00 7.438329229786e-16 3.912674982845e-17 3.665034849993e-17 + 1658 4.953180721229e-11 2.645571688617e-12 -4.085433340108e-12 0.000000000000e+00 7.419477794695e-16 3.811229240674e-17 3.643487550333e-17 + 1659 4.957809633353e-11 2.629907070651e-12 -4.123332999548e-12 0.000000000000e+00 7.400683291738e-16 3.710621745496e-17 3.621658650783e-17 + 1660 4.962692497440e-11 2.614029149293e-12 -4.160230000073e-12 0.000000000000e+00 7.381945512858e-16 3.610835628775e-17 3.599552137039e-17 + 1661 4.967820588510e-11 2.597943782148e-12 -4.196111462823e-12 0.000000000000e+00 7.363264247734e-16 3.511853927528e-17 3.577172017177e-17 + 1662 4.973185136265e-11 2.581656857448e-12 -4.230964460731e-12 0.000000000000e+00 7.344639283783e-16 3.413659584174e-17 3.554522321685e-17 + 1663 4.978777325018e-11 2.565174294098e-12 -4.264776018456e-12 0.000000000000e+00 7.326070406151e-16 3.316235446389e-17 3.531607103497e-17 + 1664 4.984588293622e-11 2.548502041726e-12 -4.297533112322e-12 0.000000000000e+00 7.307557397709e-16 3.219564266954e-17 3.508430438035e-17 + 1665 4.990609135400e-11 2.531646080726e-12 -4.329222670246e-12 0.000000000000e+00 7.289100039050e-16 3.123628703604e-17 3.484996423237e-17 + 1666 4.996830898077e-11 2.514612422310e-12 -4.359831571678e-12 0.000000000000e+00 7.270698108488e-16 3.028411318883e-17 3.461309179595e-17 + 1667 5.003244583708e-11 2.497407108550e-12 -4.389346647531e-12 0.000000000000e+00 7.252351382048e-16 2.933894579990e-17 3.437372850190e-17 + 1668 5.009841148611e-11 2.480036212431e-12 -4.417754680120e-12 0.000000000000e+00 7.234059633464e-16 2.840060858634e-17 3.413191600728e-17 + 1669 5.016611503295e-11 2.462505837892e-12 -4.445042403094e-12 0.000000000000e+00 7.215822634176e-16 2.746892430882e-17 3.388769619572e-17 + 1670 5.023546512389e-11 2.444822119879e-12 -4.471196501372e-12 0.000000000000e+00 7.197640153327e-16 2.654371477009e-17 3.364111117783e-17 + 1671 5.030636994577e-11 2.426991224387e-12 -4.496203611075e-12 0.000000000000e+00 7.179511957755e-16 2.562480081353e-17 3.339220329148e-17 + 1672 5.037873722521e-11 2.409019348512e-12 -4.520050319464e-12 0.000000000000e+00 7.161437811990e-16 2.471200232160e-17 3.314101510221e-17 + 1673 5.045247422798e-11 2.390912720493e-12 -4.542723164873e-12 0.000000000000e+00 7.143417478253e-16 2.380513821439e-17 3.288758940354e-17 + 1674 5.052748775826e-11 2.372677599764e-12 -4.564208636642e-12 0.000000000000e+00 7.125450716447e-16 2.290402644811e-17 3.263196921735e-17 + 1675 5.060368768531e-11 2.354320228485e-12 -4.584496336289e-12 0.000000000000e+00 7.107537302210e-16 2.200858094124e-17 3.237419658657e-17 + 1676 5.068099755843e-11 2.335846685591e-12 -4.603588491351e-12 0.000000000000e+00 7.089677081234e-16 2.111910328183e-17 3.211430894103e-17 + 1677 5.075934408331e-11 2.317263031558e-12 -4.621490524511e-12 0.000000000000e+00 7.071869915412e-16 2.023599356525e-17 3.185234270057e-17 + 1678 5.083865360259e-11 2.298575356855e-12 -4.638207899979e-12 0.000000000000e+00 7.054115664823e-16 1.935965370045e-17 3.158833448012e-17 + 1679 5.091885209525e-11 2.279789781983e-12 -4.653746123560e-12 0.000000000000e+00 7.036414187727e-16 1.849048741259e-17 3.132232108995e-17 + 1680 5.099986517612e-11 2.260912457521e-12 -4.668110742725e-12 0.000000000000e+00 7.018765340565e-16 1.762890024574e-17 3.105433953605e-17 + 1681 5.108161809531e-11 2.241949564175e-12 -4.681307346679e-12 0.000000000000e+00 7.001168977952e-16 1.677529956546e-17 3.078442702034e-17 + 1682 5.116403573765e-11 2.222907312815e-12 -4.693341566432e-12 0.000000000000e+00 6.983624952678e-16 1.593009456152e-17 3.051262094105e-17 + 1683 5.124704262217e-11 2.203791944529e-12 -4.704219074868e-12 0.000000000000e+00 6.966133115699e-16 1.509369625049e-17 3.023895889295e-17 + 1684 5.133056290153e-11 2.184609730664e-12 -4.713945586817e-12 0.000000000000e+00 6.948693316139e-16 1.426651747844e-17 2.996347866771e-17 + 1685 5.141452036148e-11 2.165366972869e-12 -4.722526859119e-12 0.000000000000e+00 6.931305401283e-16 1.344897292356e-17 2.968621825416e-17 + 1686 5.149883842031e-11 2.146070003145e-12 -4.729968690701e-12 0.000000000000e+00 6.913969216576e-16 1.264147909881e-17 2.940721583861e-17 + 1687 5.158344012832e-11 2.126725183885e-12 -4.736276922642e-12 0.000000000000e+00 6.896684605617e-16 1.184445435460e-17 2.912650980513e-17 + 1688 5.166824816723e-11 2.107338907924e-12 -4.741457438242e-12 0.000000000000e+00 6.879451410157e-16 1.105831888139e-17 2.884413873588e-17 + 1689 5.175318484969e-11 2.087917598580e-12 -4.745516163096e-12 0.000000000000e+00 6.862269470096e-16 1.028349471240e-17 2.856014141137e-17 + 1690 5.183817211869e-11 2.068467709701e-12 -4.748459065162e-12 0.000000000000e+00 6.845138623479e-16 9.520405726201e-18 2.827455681079e-17 + 1691 5.192313154702e-11 2.048995725713e-12 -4.750292154828e-12 0.000000000000e+00 6.828058706495e-16 8.769477649406e-18 2.798742411233e-17 + 1692 5.200798433674e-11 2.029508161657e-12 -4.751021484984e-12 0.000000000000e+00 6.811029553466e-16 8.031138059309e-18 2.769878269340e-17 + 1693 5.209265131860e-11 2.010011563242e-12 -4.750653151092e-12 0.000000000000e+00 6.794050996855e-16 7.305816386527e-18 2.740867213101e-17 + 1694 5.217705295153e-11 1.990512506888e-12 -4.749193291257e-12 0.000000000000e+00 6.777122867252e-16 6.593943917660e-18 2.711713220205e-17 + 1695 5.226110932208e-11 1.971017599769e-12 -4.746648086291e-12 0.000000000000e+00 6.760244993378e-16 5.895953797937e-18 2.682420288356e-17 + 1696 5.234474014384e-11 1.951533479860e-12 -4.743023759791e-12 0.000000000000e+00 6.743417202076e-16 5.212281033866e-18 2.652992435305e-17 + 1697 5.242786475696e-11 1.932066815981e-12 -4.738326578201e-12 0.000000000000e+00 6.726639318312e-16 4.543362495883e-18 2.623433698882e-17 + 1698 5.251040212752e-11 1.912624307843e-12 -4.732562850886e-12 0.000000000000e+00 6.709911165171e-16 3.889636921007e-18 2.593748137021e-17 + 1699 5.259227084705e-11 1.893212686093e-12 -4.725738930203e-12 0.000000000000e+00 6.693232563850e-16 3.251544915484e-18 2.563939827796e-17 + 1700 5.267338913195e-11 1.873838712359e-12 -4.717861211566e-12 0.000000000000e+00 6.676603333658e-16 2.629528957441e-18 2.534012869446e-17 + 1701 5.275367482296e-11 1.854509179296e-12 -4.708936133518e-12 0.000000000000e+00 6.660023292012e-16 2.024033399536e-18 2.503971380407e-17 + 1702 5.283304538459e-11 1.835230910627e-12 -4.698970177804e-12 0.000000000000e+00 6.643492254433e-16 1.435504471606e-18 2.473819499342e-17 + 1703 5.291141790459e-11 1.816010761194e-12 -4.687969869434e-12 0.000000000000e+00 6.627010034543e-16 8.643902833185e-19 2.443561385172e-17 + 1704 5.298870909339e-11 1.796855617000e-12 -4.675941776758e-12 0.000000000000e+00 6.610576444061e-16 3.111408268215e-19 2.413201217102e-17 + 1705 5.306483528358e-11 1.777772395253e-12 -4.662892511536e-12 0.000000000000e+00 6.594191292800e-16 -2.237920206061e-19 2.382743194656e-17 + 1706 5.313971242931e-11 1.758768044415e-12 -4.648828729004e-12 0.000000000000e+00 6.577854388663e-16 -7.399544939051e-19 2.352191537704e-17 + 1707 5.321325610581e-11 1.739849544243e-12 -4.633757127944e-12 0.000000000000e+00 6.561565537643e-16 -1.236890937585e-18 2.321550486494e-17 + 1708 5.328538150878e-11 1.721023905835e-12 -4.617684450758e-12 0.000000000000e+00 6.545324543814e-16 -1.714143803075e-18 2.290824301678e-17 + 1709 5.335600345388e-11 1.702298171677e-12 -4.600617483535e-12 0.000000000000e+00 6.529131209330e-16 -2.171253646074e-18 2.260017264348e-17 + 1710 5.342503637617e-11 1.683679415687e-12 -4.582563056118e-12 0.000000000000e+00 6.512985334424e-16 -2.607759123897e-18 2.229133676059e-17 + 1711 5.349239432957e-11 1.665174743261e-12 -4.563528042179e-12 0.000000000000e+00 6.496886717402e-16 -3.023196992830e-18 2.198177858865e-17 + 1712 5.355799098631e-11 1.646791291315e-12 -4.543519359285e-12 0.000000000000e+00 6.480835154639e-16 -3.417102105478e-18 2.167154155346e-17 + 1713 5.362173963636e-11 1.628536228333e-12 -4.522543968970e-12 0.000000000000e+00 6.464830440577e-16 -3.789007408114e-18 2.136066928638e-17 + 1714 5.368356262527e-11 1.610416145542e-12 -4.500610504110e-12 0.000000000000e+00 6.448872382847e-16 -4.138557218608e-18 2.104920422666e-17 + 1715 5.374341975674e-11 1.592435224654e-12 -4.477734166107e-12 0.000000000000e+00 6.432960847774e-16 -4.465848122986e-18 2.073718341472e-17 + 1716 5.380128013143e-11 1.574597054574e-12 -4.453931869649e-12 0.000000000000e+00 6.417095715256e-16 -4.771090983671e-18 2.042464266354e-17 + 1717 5.385711273038e-11 1.556905238865e-12 -4.429220619335e-12 0.000000000000e+00 6.401276863665e-16 -5.054497925017e-18 2.011161795365e-17 + 1718 5.391088641493e-11 1.539363395776e-12 -4.403617509809e-12 0.000000000000e+00 6.385504169849e-16 -5.316282335275e-18 1.979814543334e-17 + 1719 5.396256992652e-11 1.521975158254e-12 -4.377139725898e-12 0.000000000000e+00 6.369777509128e-16 -5.556658868575e-18 1.948426141892e-17 + 1720 5.401213188651e-11 1.504744173972e-12 -4.349804542749e-12 0.000000000000e+00 6.354096755291e-16 -5.775843446896e-18 1.917000239498e-17 + 1721 5.405954079605e-11 1.487674105344e-12 -4.321629325960e-12 0.000000000000e+00 6.338461780594e-16 -5.974053262043e-18 1.885540501459e-17 + 1722 5.410476503592e-11 1.470768629547e-12 -4.292631531722e-12 0.000000000000e+00 6.322872455754e-16 -6.151506777618e-18 1.854050609960e-17 + 1723 5.414777286632e-11 1.454031438542e-12 -4.262828706953e-12 0.000000000000e+00 6.307328649953e-16 -6.308423730999e-18 1.822534264081e-17 + 1724 5.418853242677e-11 1.437466239092e-12 -4.232238489434e-12 0.000000000000e+00 6.291830230827e-16 -6.445025135310e-18 1.790995179829e-17 + 1725 5.422701173590e-11 1.421076752785e-12 -4.200878607944e-12 0.000000000000e+00 6.276377064469e-16 -6.561533281397e-18 1.759437090156e-17 + 1726 5.426317869132e-11 1.404866716052e-12 -4.168766882398e-12 0.000000000000e+00 6.260969015424e-16 -6.658171739802e-18 1.727863744988e-17 + 1727 5.429700106944e-11 1.388839880189e-12 -4.135921223983e-12 0.000000000000e+00 6.245605946686e-16 -6.735165362740e-18 1.696278911244e-17 + 1728 5.432844652531e-11 1.373000011377e-12 -4.102359635293e-12 0.000000000000e+00 6.230287719697e-16 -6.792740286070e-18 1.664686372867e-17 + 1729 5.435748259246e-11 1.357350890699e-12 -4.068100210465e-12 0.000000000000e+00 6.215014194343e-16 -6.831123931269e-18 1.633089930842e-17 + 1730 5.438407668274e-11 1.341896314166e-12 -4.033161135318e-12 0.000000000000e+00 6.199785228948e-16 -6.850545007409e-18 1.601493403224e-17 + 1731 5.440819608616e-11 1.326640092733e-12 -3.997560687486e-12 0.000000000000e+00 6.184600680280e-16 -6.851233513132e-18 1.569900625160e-17 + 1732 5.442980797071e-11 1.311586052320e-12 -3.961317236554e-12 0.000000000000e+00 6.169460403537e-16 -6.833420738619e-18 1.538315448916e-17 + 1733 5.444887938222e-11 1.296738033833e-12 -3.924449244197e-12 0.000000000000e+00 6.154364252354e-16 -6.797339267571e-18 1.506741743899e-17 + 1734 5.446537724418e-11 1.282099893185e-12 -3.886975264315e-12 0.000000000000e+00 6.139312078793e-16 -6.743222979179e-18 1.475183396682e-17 + 1735 5.447926835761e-11 1.267675501313e-12 -3.848913943166e-12 0.000000000000e+00 6.124303733345e-16 -6.671307050098e-18 1.443644311027e-17 + 1736 5.449051940086e-11 1.253468744203e-12 -3.810284019508e-12 0.000000000000e+00 6.109339064926e-16 -6.581827956426e-18 1.412128407914e-17 + 1737 5.449909692944e-11 1.239483522906e-12 -3.771104324731e-12 0.000000000000e+00 6.094417920871e-16 -6.475023475673e-18 1.380639625557e-17 + 1738 5.450496737591e-11 1.225723753560e-12 -3.731393782991e-12 0.000000000000e+00 6.079540146935e-16 -6.351132688739e-18 1.349181919436e-17 + 1739 5.450809704969e-11 1.212193367410e-12 -3.691171411355e-12 0.000000000000e+00 6.064705587292e-16 -6.210395981885e-18 1.317759262318e-17 + 1740 5.450845213687e-11 1.198896310831e-12 -3.650456319926e-12 0.000000000000e+00 6.049914084524e-16 -6.053055048713e-18 1.286375644281e-17 + 1741 5.450599870008e-11 1.185836545342e-12 -3.609267711989e-12 0.000000000000e+00 6.035165479628e-16 -5.879352892133e-18 1.255035072739e-17 + 1742 5.450070267835e-11 1.173018047633e-12 -3.567624884139e-12 0.000000000000e+00 6.020459612005e-16 -5.689533826342e-18 1.223741572466e-17 + 1743 5.449252988688e-11 1.160444809580e-12 -3.525547226423e-12 0.000000000000e+00 6.005796319465e-16 -5.483843478799e-18 1.192499185620e-17 + 1744 5.448144601694e-11 1.148120838269e-12 -3.483054222474e-12 0.000000000000e+00 5.991175438217e-16 -5.262528792197e-18 1.161311971769e-17 + 1745 5.446741663568e-11 1.136050156014e-12 -3.440165449647e-12 0.000000000000e+00 5.976596802869e-16 -5.025838026436e-18 1.130184007912e-17 + 1746 5.445040718596e-11 1.124236800377e-12 -3.396900579154e-12 0.000000000000e+00 5.962060246428e-16 -4.774020760602e-18 1.099119388506e-17 + 1747 5.443038298622e-11 1.112684824192e-12 -3.353279376204e-12 0.000000000000e+00 5.947565600293e-16 -4.507327894939e-18 1.068122225490e-17 + 1748 5.440730923027e-11 1.101398295580e-12 -3.309321700134e-12 0.000000000000e+00 5.933112694253e-16 -4.226011652820e-18 1.037196648308e-17 + 1749 5.438115098720e-11 1.090381297973e-12 -3.265047504550e-12 0.000000000000e+00 5.918701356488e-16 -3.930325582729e-18 1.006346803933e-17 + 1750 5.435187320112e-11 1.079637930131e-12 -3.220476837459e-12 0.000000000000e+00 5.904331413561e-16 -3.620524560226e-18 9.755768568946e-18 + 1751 5.431944069109e-11 1.069172306167e-12 -3.175629841409e-12 0.000000000000e+00 5.890002690419e-16 -3.296864789931e-18 9.448909892987e-18 + 1752 5.428381815090e-11 1.058988555563e-12 -3.130526753622e-12 0.000000000000e+00 5.875715010386e-16 -2.959603807489e-18 9.142934008549e-18 + 1753 5.424497940709e-11 1.049090047982e-12 -3.085187358458e-12 0.000000000000e+00 5.861468207922e-16 -2.608986851347e-18 8.837880252729e-18 + 1754 5.420293527773e-11 1.039477060592e-12 -3.039629339532e-12 0.000000000000e+00 5.847262166996e-16 -2.245205849704e-18 8.533776768181e-18 + 1755 5.415770594587e-11 1.030149091309e-12 -2.993869914116e-12 0.000000000000e+00 5.833096783025e-16 -1.868440095150e-18 8.230648966809e-18 + 1756 5.410931172263e-11 1.021105632233e-12 -2.947926379671e-12 0.000000000000e+00 5.818971950143e-16 -1.478869845240e-18 7.928522359695e-18 + 1757 5.405777304748e-11 1.012346169638e-12 -2.901816113971e-12 0.000000000000e+00 5.804887561201e-16 -1.076676323938e-18 7.627422557238e-18 + 1758 5.400311048836e-11 1.003870183958e-12 -2.855556575211e-12 0.000000000000e+00 5.790843507766e-16 -6.620417230566e-19 7.327375269281e-18 + 1759 5.394534474194e-11 9.956771497810e-13 -2.809165302124e-12 0.000000000000e+00 5.776839680113e-16 -2.351492037002e-19 7.028406305243e-18 + 1760 5.388449663380e-11 9.877665358385e-13 -2.762659914096e-12 0.000000000000e+00 5.762875967229e-16 2.038171022914e-19 6.730541574255e-18 + 1761 5.382058711860e-11 9.801378049933e-13 -2.716058111282e-12 0.000000000000e+00 5.748952256808e-16 6.546720909018e-19 6.433807085285e-18 + 1762 5.375363728033e-11 9.727904142312e-13 -2.669377674718e-12 0.000000000000e+00 5.735068435246e-16 1.117229684495e-18 6.138228947279e-18 + 1763 5.368366833246e-11 9.657238146506e-13 -2.622636466436e-12 0.000000000000e+00 5.721224387646e-16 1.591302830374e-18 5.843833369285e-18 + 1764 5.361070161817e-11 9.589374514528e-13 -2.575852429583e-12 0.000000000000e+00 5.707419997806e-16 2.076703499337e-18 5.550646660590e-18 + 1765 5.353475861056e-11 9.524307639312e-13 -2.529043588530e-12 0.000000000000e+00 5.693655148227e-16 2.573242684235e-18 5.258695230848e-18 + 1766 5.345586091280e-11 9.462031854622e-13 -2.482228048992e-12 0.000000000000e+00 5.679929720101e-16 3.080730398532e-18 4.968005590215e-18 + 1767 5.337403025837e-11 9.402541434948e-13 -2.435423998137e-12 0.000000000000e+00 5.666243593317e-16 3.598975674858e-18 4.678604349482e-18 + 1768 5.328928851125e-11 9.345830595403e-13 -2.388649704706e-12 0.000000000000e+00 5.652596646453e-16 4.127786563572e-18 4.390518220201e-18 + 1769 5.320165766614e-11 9.291893491629e-13 -2.341923519127e-12 0.000000000000e+00 5.638988756775e-16 4.666970131315e-18 4.103774014825e-18 + 1770 5.311115984858e-11 9.240724219692e-13 -2.295263873627e-12 0.000000000000e+00 5.625419800238e-16 5.216332459570e-18 3.818398646833e-18 + 1771 5.301781731527e-11 9.192316815986e-13 -2.248689282348e-12 0.000000000000e+00 5.611889651479e-16 5.775678643218e-18 3.534419130866e-18 + 1772 5.292165245416e-11 9.146665257127e-13 -2.202218341463e-12 0.000000000000e+00 5.598398183817e-16 6.344812789100e-18 3.251862582858e-18 + 1773 5.282268778470e-11 9.103763459861e-13 -2.155869729289e-12 0.000000000000e+00 5.584945269252e-16 6.923538014567e-18 2.970756220169e-18 + 1774 5.272094595806e-11 9.063605280958e-13 -2.109662206405e-12 0.000000000000e+00 5.571530778459e-16 7.511656446044e-18 2.691127361713e-18 + 1775 5.261644975727e-11 9.026184517113e-13 -2.063614615761e-12 0.000000000000e+00 5.558154580790e-16 8.108969217586e-18 2.413003428094e-18 + 1776 5.250922209747e-11 8.991494904848e-13 -2.017745882800e-12 0.000000000000e+00 5.544816544268e-16 8.715276469435e-18 2.136411941738e-18 + 1777 5.239928602609e-11 8.959530120409e-13 -1.972075015565e-12 0.000000000000e+00 5.531516535587e-16 9.330377346575e-18 1.861380527022e-18 + 1778 5.228666472302e-11 8.930283779671e-13 -1.926621104822e-12 0.000000000000e+00 5.518254420110e-16 9.954069997295e-18 1.587936910409e-18 + 1779 5.217138150088e-11 8.903749438030e-13 -1.881403324168e-12 0.000000000000e+00 5.505030061864e-16 1.058615157174e-17 1.316108920578e-18 + 1780 5.205345980516e-11 8.879920590310e-13 -1.836440930148e-12 0.000000000000e+00 5.491843323542e-16 1.122641822049e-17 1.045924488555e-18 + 1781 5.193292321443e-11 8.858790670662e-13 -1.791753262371e-12 0.000000000000e+00 5.478694066494e-16 1.187466509306e-17 7.774116478504e-19 + 1782 5.180979544055e-11 8.840353052460e-13 -1.747359743625e-12 0.000000000000e+00 5.465582150733e-16 1.253068633655e-17 5.105985345834e-19 + 1783 5.168410032887e-11 8.824601048204e-13 -1.703279879990e-12 0.000000000000e+00 5.452507434926e-16 1.319427509410e-17 2.455133876196e-19 + 1784 5.155586185841e-11 8.811527909421e-13 -1.659533260951e-12 0.000000000000e+00 5.439469776396e-16 1.386522350354e-17 -1.781545129934e-20 + 1785 5.142510414209e-11 8.801126826560e-13 -1.616139559518e-12 0.000000000000e+00 5.426469031117e-16 1.454332269588e-17 -2.793595374234e-19 + 1786 5.129185142691e-11 8.793390928899e-13 -1.573118532339e-12 0.000000000000e+00 5.413505053713e-16 1.522836279390e-17 -5.390903228620e-19 + 1787 5.115612809413e-11 8.788313284439e-13 -1.530490019810e-12 0.000000000000e+00 5.400577697454e-16 1.592013291070e-17 -7.969791564523e-19 + 1788 5.101795865951e-11 8.785886899807e-13 -1.488273946197e-12 0.000000000000e+00 5.387686814258e-16 1.661842114825e-17 -1.052997283627e-18 + 1789 5.087736777350e-11 8.786104720156e-13 -1.446490319745e-12 0.000000000000e+00 5.374832254684e-16 1.732301459598e-17 -1.307115846283e-18 + 1790 5.073438022140e-11 8.788959629063e-13 -1.405159232797e-12 0.000000000000e+00 5.362013867931e-16 1.803369932930e-17 -1.559305882648e-18 + 1791 5.058902092360e-11 8.794444448430e-13 -1.364300861905e-12 0.000000000000e+00 5.349231501837e-16 1.875026040815e-17 -1.809538327150e-18 + 1792 5.044131908217e-11 8.802547025962e-13 -1.323933414652e-12 0.000000000000e+00 5.336485013671e-16 1.947247953415e-17 -2.057787308678e-18 + 1793 5.029132065729e-11 8.813235453934e-13 -1.284066951541e-12 0.000000000000e+00 5.323774302612e-16 2.020012800380e-17 -2.304040075077e-18 + 1794 5.013907599312e-11 8.826472729520e-13 -1.244709513884e-12 0.000000000000e+00 5.311099277533e-16 2.093297369484e-17 -2.548287149429e-18 + 1795 4.998463568093e-11 8.842221655983e-13 -1.205869172554e-12 0.000000000000e+00 5.298459846223e-16 2.167078340096e-17 -2.790519039015e-18 + 1796 4.982805055953e-11 8.860444842385e-13 -1.167554028029e-12 0.000000000000e+00 5.285855915390e-16 2.241332283022e-17 -3.030726235296e-18 + 1797 4.966937171559e-11 8.881104703308e-13 -1.129772210426e-12 0.000000000000e+00 5.273287390654e-16 2.316035660362e-17 -3.268899213913e-18 + 1798 4.950865048399e-11 8.904163458569e-13 -1.092531879539e-12 0.000000000000e+00 5.260754176552e-16 2.391164825347e-17 -3.505028434674e-18 + 1799 4.934593844818e-11 8.929583132935e-13 -1.055841224879e-12 0.000000000000e+00 5.248256176529e-16 2.466696022192e-17 -3.739104341546e-18 + 1800 4.918128744056e-11 8.957325555842e-13 -1.019708465709e-12 0.000000000000e+00 5.235793292940e-16 2.542605385940e-17 -3.971117362646e-18 + 1801 4.901474954276e-11 8.987352361110e-13 -9.841418510866e-13 0.000000000000e+00 5.223365427050e-16 2.618868942312e-17 -4.201057910234e-18 + 1802 4.884637708608e-11 9.019624986660e-13 -9.491496598989e-13 0.000000000000e+00 5.210972479026e-16 2.695462607550e-17 -4.428916380699e-18 + 1803 4.867622265180e-11 9.054104674230e-13 -9.147402009010e-13 0.000000000000e+00 5.198614347941e-16 2.772362188268e-17 -4.654683154558e-18 + 1804 4.850433907154e-11 9.090752469092e-13 -8.809218127546e-13 0.000000000000e+00 5.186290931767e-16 2.849543381296e-17 -4.878348596441e-18 + 1805 4.833077942761e-11 9.129529219770e-13 -8.477028640659e-13 0.000000000000e+00 5.174002127380e-16 2.926981773530e-17 -5.099903055084e-18 + 1806 4.815559705337e-11 9.170395577751e-13 -8.150917534238e-13 0.000000000000e+00 5.161747830549e-16 3.004652841775e-17 -5.319336863323e-18 + 1807 4.797884553357e-11 9.213311997210e-13 -7.830969094379e-13 0.000000000000e+00 5.149527935944e-16 3.082531952596e-17 -5.536640338079e-18 + 1808 4.780057870475e-11 9.258238734718e-13 -7.517267907764e-13 0.000000000000e+00 5.137342337126e-16 3.160594362164e-17 -5.751803780358e-18 + 1809 4.762085065554e-11 9.305135848965e-13 -7.209898862047e-13 0.000000000000e+00 5.125190926548e-16 3.238815216100e-17 -5.964817475231e-18 + 1810 4.743971572701e-11 9.353963200471e-13 -6.908947146230e-13 0.000000000000e+00 5.113073595556e-16 3.317169549325e-17 -6.175671691838e-18 + 1811 4.725722851310e-11 9.404680451309e-13 -6.614498251046e-13 0.000000000000e+00 5.100990234382e-16 3.395632285909e-17 -6.384356683368e-18 + 1812 4.707344386088e-11 9.457247064815e-13 -6.326637969340e-13 0.000000000000e+00 5.088940732146e-16 3.474178238911e-17 -6.590862687056e-18 + 1813 4.688841687097e-11 9.511622305309e-13 -6.045452396449e-13 0.000000000000e+00 5.076924976852e-16 3.552782110234e-17 -6.795179924174e-18 + 1814 4.670220289785e-11 9.567765237809e-13 -5.771027930583e-13 0.000000000000e+00 5.064942855388e-16 3.631418490467e-17 -6.997298600021e-18 + 1815 4.651485755026e-11 9.625634727747e-13 -5.503451273207e-13 0.000000000000e+00 5.052994253520e-16 3.710061858734e-17 -7.197208903914e-18 + 1816 4.632643669150e-11 9.685189440690e-13 -5.242809429422e-13 0.000000000000e+00 5.041079055897e-16 3.788686582539e-17 -7.394901009181e-18 + 1817 4.613699643983e-11 9.746387842050e-13 -4.989189708343e-13 0.000000000000e+00 5.029197146042e-16 3.867266917616e-17 -7.590365073150e-18 + 1818 4.594659316880e-11 9.809188196807e-13 -4.742679723485e-13 0.000000000000e+00 5.017348406355e-16 3.945777007774e-17 -7.783591237140e-18 + 1819 4.575528350762e-11 9.873548569220e-13 -4.503367393137e-13 0.000000000000e+00 5.005532718108e-16 4.024190884744e-17 -7.974569626457e-18 + 1820 4.556312434149e-11 9.939426822546e-13 -4.271340940752e-13 0.000000000000e+00 4.993749961446e-16 4.102482468028e-17 -8.163290350377e-18 + 1821 4.537017281197e-11 1.000678061876e-12 -4.046688895317e-13 0.000000000000e+00 4.982000015383e-16 4.180625564742e-17 -8.349743502147e-18 + 1822 4.517648631734e-11 1.007556741826e-12 -3.829500091745e-13 0.000000000000e+00 4.970282757799e-16 4.258593869469e-17 -8.533919158966e-18 + 1823 4.498212251294e-11 1.014574447959e-12 -3.619863671246e-13 0.000000000000e+00 4.958598065444e-16 4.336360964098e-17 -8.715807381985e-18 + 1824 4.478713931153e-11 1.021726885918e-12 -3.417869081717e-13 0.000000000000e+00 4.946945813926e-16 4.413900317681e-17 -8.895398216294e-18 + 1825 4.459159488364e-11 1.029009741102e-12 -3.223606078113e-13 0.000000000000e+00 4.935325877721e-16 4.491185286269e-17 -9.072681690911e-18 + 1826 4.439554765794e-11 1.036418678639e-12 -3.037164722839e-13 0.000000000000e+00 4.923738130160e-16 4.568189112769e-17 -9.247647818779e-18 + 1827 4.419905632157e-11 1.043949343360e-12 -2.858635386121e-13 0.000000000000e+00 4.912182443436e-16 4.644884926785e-17 -9.420286596754e-18 + 1828 4.400217982051e-11 1.051597359769e-12 -2.688108746392e-13 0.000000000000e+00 4.900658688597e-16 4.721245744466e-17 -9.590588005595e-18 + 1829 4.380497735993e-11 1.059358332013e-12 -2.525675790674e-13 0.000000000000e+00 4.889166735544e-16 4.797244468355e-17 -9.758542009956e-18 + 1830 4.360750840454e-11 1.067227843857e-12 -2.371427814954e-13 0.000000000000e+00 4.877706453033e-16 4.872853887232e-17 -9.924138558381e-18 + 1831 4.340983044108e-11 1.075201467366e-12 -2.225434346512e-13 0.000000000000e+00 4.866277717840e-16 4.948051215786e-17 -1.008737017193e-17 + 1832 4.321199224551e-11 1.083274789097e-12 -2.087676717193e-13 0.000000000000e+00 4.854880442362e-16 5.022831753578e-17 -1.024823973270e-17 + 1833 4.301404056272e-11 1.091443384057e-12 -1.958113959990e-13 0.000000000000e+00 4.843514547230e-16 5.097195334940e-17 -1.040675275754e-17 + 1834 4.281602233977e-11 1.099702806989e-12 -1.836704838504e-13 0.000000000000e+00 4.832179952164e-16 5.171141799066e-17 -1.056291481516e-17 + 1835 4.261798472619e-11 1.108048592338e-12 -1.723407846528e-13 0.000000000000e+00 4.820876575969e-16 5.244670990031e-17 -1.071673152616e-17 + 1836 4.241997507423e-11 1.116476254223e-12 -1.618181207647e-13 0.000000000000e+00 4.809604336531e-16 5.317782756795e-17 -1.086820856317e-17 + 1837 4.222204093913e-11 1.124981286414e-12 -1.520982874822e-13 0.000000000000e+00 4.798363150818e-16 5.390476953212e-17 -1.101735165093e-17 + 1838 4.202423007942e-11 1.133559162298e-12 -1.431770529985e-13 0.000000000000e+00 4.787152934877e-16 5.462753438042e-17 -1.116416656634e-17 + 1839 4.182659045720e-11 1.142205334855e-12 -1.350501583629e-13 0.000000000000e+00 4.775973603834e-16 5.534612074960e-17 -1.130865913855e-17 + 1840 4.162917023835e-11 1.150915236627e-12 -1.277133174397e-13 0.000000000000e+00 4.764825071890e-16 5.606052732564e-17 -1.145083524909e-17 + 1841 4.143201779289e-11 1.159684279693e-12 -1.211622168677e-13 0.000000000000e+00 4.753707252323e-16 5.677075284385e-17 -1.159070083189e-17 + 1842 4.123518169518e-11 1.168507855639e-12 -1.153925160190e-13 0.000000000000e+00 4.742620057483e-16 5.747679608897e-17 -1.172826187341e-17 + 1843 4.103871072426e-11 1.177381335529e-12 -1.103998469584e-13 0.000000000000e+00 4.731563398793e-16 5.817865589526e-17 -1.186352441271e-17 + 1844 4.084265386405e-11 1.186300069880e-12 -1.061798144021e-13 0.000000000000e+00 4.720537186744e-16 5.887633114661e-17 -1.199649454150e-17 + 1845 4.064706030370e-11 1.195259388633e-12 -1.027279956771e-13 0.000000000000e+00 4.709541330897e-16 5.956982077658e-17 -1.212717840430e-17 + 1846 4.045197943781e-11 1.204254601122e-12 -1.000399406804e-13 0.000000000000e+00 4.698575739882e-16 6.025912376858e-17 -1.225558219844e-17 + 1847 4.025746086672e-11 1.213280996049e-12 -9.811117183771e-14 0.000000000000e+00 4.687640321392e-16 6.094423915588e-17 -1.238171217422e-17 + 1848 4.006355439679e-11 1.222333841456e-12 -9.693718406296e-14 0.000000000000e+00 4.676734982184e-16 6.162516602176e-17 -1.250557463492e-17 + 1849 3.987031004068e-11 1.231408384697e-12 -9.651344471719e-14 0.000000000000e+00 4.665859628078e-16 6.230190349959e-17 -1.262717593695e-17 + 1850 3.967777801759e-11 1.240499852405e-12 -9.683539356776e-14 0.000000000000e+00 4.655014163957e-16 6.297445077291e-17 -1.274652248988e-17 + 1851 3.948600875358e-11 1.249603450474e-12 -9.789844274738e-14 0.000000000000e+00 4.644198493760e-16 6.364280707553e-17 -1.286362075657e-17 + 1852 3.929505288181e-11 1.258714364019e-12 -9.969797671326e-14 0.000000000000e+00 4.633412520485e-16 6.430697169165e-17 -1.297847725321e-17 + 1853 3.910496124282e-11 1.267827757360e-12 -1.022293522062e-13 0.000000000000e+00 4.622656146187e-16 6.496694395591e-17 -1.309109854945e-17 + 1854 3.891578488482e-11 1.276938773982e-12 -1.054878982098e-13 0.000000000000e+00 4.611929271974e-16 6.562272325351e-17 -1.320149126843e-17 + 1855 3.872757506395e-11 1.286042536518e-12 -1.094689159094e-13 0.000000000000e+00 4.601231798010e-16 6.627430902032e-17 -1.330966208693e-17 + 1856 3.854038324456e-11 1.295134146712e-12 -1.141676786512e-13 0.000000000000e+00 4.590563623506e-16 6.692170074294e-17 -1.341561773538e-17 + 1857 3.835426109947e-11 1.304208685399e-12 -1.195794319016e-13 0.000000000000e+00 4.579924646727e-16 6.756489795880e-17 -1.351936499800e-17 + 1858 3.816926051026e-11 1.313261212468e-12 -1.256993932061e-13 0.000000000000e+00 4.569314764985e-16 6.820390025630e-17 -1.362091071288e-17 + 1859 3.798543356754e-11 1.322286766842e-12 -1.325227521483e-13 0.000000000000e+00 4.558733874637e-16 6.883870727482e-17 -1.372026177201e-17 + 1860 3.780283257123e-11 1.331280366446e-12 -1.400446703093e-13 0.000000000000e+00 4.548181871088e-16 6.946931870491e-17 -1.381742512143e-17 + 1861 3.762151003081e-11 1.340237008180e-12 -1.482602812267e-13 0.000000000000e+00 4.537658648785e-16 7.009573428830e-17 -1.391240776129e-17 + 1862 3.744151866562e-11 1.349151667890e-12 -1.571646903537e-13 0.000000000000e+00 4.527164101219e-16 7.071795381804e-17 -1.400521674592e-17 + 1863 3.726291140512e-11 1.358019300340e-12 -1.667529750180e-13 0.000000000000e+00 4.516698120918e-16 7.133597713861e-17 -1.409585918391e-17 + 1864 3.708574138918e-11 1.366834839187e-12 -1.770201843813e-13 0.000000000000e+00 4.506260599452e-16 7.194980414595e-17 -1.418434223823e-17 + 1865 3.691006196832e-11 1.375593196948e-12 -1.879613393981e-13 0.000000000000e+00 4.495851427429e-16 7.255943478762e-17 -1.427067312628e-17 + 1866 3.673592670402e-11 1.384289264975e-12 -1.995714327749e-13 0.000000000000e+00 4.485470494489e-16 7.316486906287e-17 -1.435485912000e-17 + 1867 3.656338936899e-11 1.392917913429e-12 -2.118454289293e-13 0.000000000000e+00 4.475117689310e-16 7.376610702271e-17 -1.443690754593e-17 + 1868 3.639250394741e-11 1.401473991245e-12 -2.247782639494e-13 0.000000000000e+00 4.464792899601e-16 7.436314877004e-17 -1.451682578528e-17 + 1869 3.622332463524e-11 1.409952326113e-12 -2.383648455523e-13 0.000000000000e+00 4.454496012103e-16 7.495599445973e-17 -1.459462127408e-17 + 1870 3.605589963431e-11 1.418348152655e-12 -2.525989127944e-13 0.000000000000e+00 4.444226920395e-16 7.554463589554e-17 -1.467030303253e-17 + 1871 3.589025248096e-11 1.426658400706e-12 -2.674696055273e-13 0.000000000000e+00 4.433985548384e-16 7.612903124868e-17 -1.474388626627e-17 + 1872 3.572640057179e-11 1.434880417065e-12 -2.829648680127e-13 0.000000000000e+00 4.423771826996e-16 7.670913014160e-17 -1.481538780129e-17 + 1873 3.556436135672e-11 1.443011538177e-12 -2.990725866551e-13 0.000000000000e+00 4.413585686385e-16 7.728488203299e-17 -1.488482455805e-17 + 1874 3.540415233894e-11 1.451049090128e-12 -3.157805899216e-13 0.000000000000e+00 4.403427055925e-16 7.785623621759e-17 -1.495221355157e-17 + 1875 3.524579107505e-11 1.458990388626e-12 -3.330766482618e-13 0.000000000000e+00 4.393295864218e-16 7.842314182601e-17 -1.501757189159e-17 + 1876 3.508929517510e-11 1.466832738988e-12 -3.509484740279e-13 0.000000000000e+00 4.383192039085e-16 7.898554782450e-17 -1.508091678271e-17 + 1877 3.493468230262e-11 1.474573436131e-12 -3.693837213948e-13 0.000000000000e+00 4.373115507567e-16 7.954340301482e-17 -1.514226552449e-17 + 1878 3.478197017474e-11 1.482209764554e-12 -3.883699862800e-13 0.000000000000e+00 4.363066195926e-16 8.009665603397e-17 -1.520163551164e-17 + 1879 3.463117656219e-11 1.489738998325e-12 -4.078948062635e-13 0.000000000000e+00 4.353044029641e-16 8.064525535405e-17 -1.525904423412e-17 + 1880 3.448231928941e-11 1.497158401071e-12 -4.279456605078e-13 0.000000000000e+00 4.343048933409e-16 8.118914928204e-17 -1.531450927728e-17 + 1881 3.433541623457e-11 1.504465225962e-12 -4.485099696784e-13 0.000000000000e+00 4.333080831141e-16 8.172828595963e-17 -1.536804832201e-17 + 1882 3.419048532969e-11 1.511656715697e-12 -4.695750958629e-13 0.000000000000e+00 4.323139645961e-16 8.226261336301e-17 -1.541967914486e-17 + 1883 3.404754456061e-11 1.518730102493e-12 -4.911283424918e-13 0.000000000000e+00 4.313225300208e-16 8.279207930265e-17 -1.546941961819e-17 + 1884 3.390661196714e-11 1.525682608071e-12 -5.131569542582e-13 0.000000000000e+00 4.303337715432e-16 8.331663142317e-17 -1.551728771031e-17 + 1885 3.376770564308e-11 1.532511443641e-12 -5.356481170377e-13 0.000000000000e+00 4.293476812392e-16 8.383621720309e-17 -1.556330148559e-17 + 1886 3.363084373627e-11 1.539213809889e-12 -5.585889578085e-13 0.000000000000e+00 4.283642511057e-16 8.435078395466e-17 -1.560747910461e-17 + 1887 3.349604444868e-11 1.545786896968e-12 -5.819665445714e-13 0.000000000000e+00 4.273834730602e-16 8.486027882365e-17 -1.564983882433e-17 + 1888 3.336332603647e-11 1.552227884476e-12 -6.057678862699e-13 0.000000000000e+00 4.264053389412e-16 8.536464878918e-17 -1.569039899815e-17 + 1889 3.323270681000e-11 1.558533941453e-12 -6.299799327100e-13 0.000000000000e+00 4.254298405073e-16 8.586384066351e-17 -1.572917807614e-17 + 1890 3.310420513397e-11 1.564702226358e-12 -6.545895744804e-13 0.000000000000e+00 4.244569694375e-16 8.635780109185e-17 -1.576619460508e-17 + 1891 3.297783942742e-11 1.570729887063e-12 -6.795836428723e-13 0.000000000000e+00 4.234867173314e-16 8.684647655216e-17 -1.580146722870e-17 + 1892 3.285362816382e-11 1.576614060835e-12 -7.049489097996e-13 0.000000000000e+00 4.225190757082e-16 8.732981335497e-17 -1.583501468771e-17 + 1893 3.273158987111e-11 1.582351874325e-12 -7.306720877186e-13 0.000000000000e+00 4.215540360076e-16 8.780775764317e-17 -1.586685582001e-17 + 1894 3.261174313179e-11 1.587940443554e-12 -7.567398295485e-13 0.000000000000e+00 4.205915895888e-16 8.828025539183e-17 -1.589700956081e-17 + 1895 3.249410658296e-11 1.593376873900e-12 -7.831387285910e-13 0.000000000000e+00 4.196317277307e-16 8.874725240799e-17 -1.592549494274e-17 + 1896 3.237869891638e-11 1.598658260083e-12 -8.098553184502e-13 0.000000000000e+00 4.186744416321e-16 8.920869433049e-17 -1.595233109602e-17 + 1897 3.226553887854e-11 1.603781686154e-12 -8.368760729530e-13 0.000000000000e+00 4.177197224109e-16 8.966452662974e-17 -1.597753724859e-17 + 1898 3.215464527073e-11 1.608744225480e-12 -8.641874060690e-13 0.000000000000e+00 4.167675611047e-16 9.011469460757e-17 -1.600113272621e-17 + 1899 3.204603694907e-11 1.613542940732e-12 -8.917756718302e-13 0.000000000000e+00 4.158179486699e-16 9.055914339700e-17 -1.602313695266e-17 + 1900 3.193973282460e-11 1.618174883869e-12 -9.196271642513e-13 0.000000000000e+00 4.148708759823e-16 9.099781796205e-17 -1.604356944981e-17 + 1901 3.183575186334e-11 1.622637096130e-12 -9.477281172496e-13 0.000000000000e+00 4.139263338365e-16 9.143066309759e-17 -1.606244983781e-17 + 1902 3.173411308632e-11 1.626926608014e-12 -9.760647045651e-13 0.000000000000e+00 4.129843129460e-16 9.185762342907e-17 -1.607979783519e-17 + 1903 3.163483556968e-11 1.631040439271e-12 -1.004623039680e-12 0.000000000000e+00 4.120448039428e-16 9.227864341240e-17 -1.609563325901e-17 + 1904 3.153793844472e-11 1.634975598887e-12 -1.033389175740e-12 0.000000000000e+00 4.111077973777e-16 9.269366733371e-17 -1.610997602501e-17 + 1905 3.144344089793e-11 1.638729085072e-12 -1.062349105472e-12 0.000000000000e+00 4.101732837198e-16 9.310263930916e-17 -1.612284614773e-17 + 1906 3.135136217110e-11 1.642297885244e-12 -1.091488761107e-12 0.000000000000e+00 4.092412533564e-16 9.350550328477e-17 -1.613426374062e-17 + 1907 3.126172156136e-11 1.645678976020e-12 -1.120794014298e-12 0.000000000000e+00 4.083116965932e-16 9.390220303621e-17 -1.614424901625e-17 + 1908 3.117453842122e-11 1.648869323199e-12 -1.150250676041e-12 0.000000000000e+00 4.073846036537e-16 9.429268216861e-17 -1.615282228636e-17 + 1909 3.108982610710e-11 1.651866434960e-12 -1.179844864923e-12 0.000000000000e+00 4.064599653448e-16 9.467689933728e-17 -1.616000223969e-17 + 1910 3.100757377408e-11 1.654670026129e-12 -1.209564115124e-12 0.000000000000e+00 4.055377750579e-16 9.505487403793e-17 -1.616580076051e-17 + 1911 3.092776444166e-11 1.657280366647e-12 -1.239396276752e-12 0.000000000000e+00 4.046180267828e-16 9.542664116712e-17 -1.617022807062e-17 + 1912 3.085038103258e-11 1.659697729518e-12 -1.269329148215e-12 0.000000000000e+00 4.037007144436e-16 9.579223583351e-17 -1.617329444817e-17 + 1913 3.077540637262e-11 1.661922390817e-12 -1.299350476153e-12 0.000000000000e+00 4.027858318984e-16 9.615169335818e-17 -1.617501022779e-17 + 1914 3.070282319050e-11 1.663954629693e-12 -1.329447955374e-12 0.000000000000e+00 4.018733729395e-16 9.650504927491e-17 -1.617538580061e-17 + 1915 3.063261411772e-11 1.665794728377e-12 -1.359609228782e-12 0.000000000000e+00 4.009633312932e-16 9.685233933048e-17 -1.617443161439e-17 + 1916 3.056476168845e-11 1.667442972183e-12 -1.389821887308e-12 0.000000000000e+00 4.000557006195e-16 9.719359948504e-17 -1.617215817356e-17 + 1917 3.049924833935e-11 1.668899649514e-12 -1.420073469848e-12 0.000000000000e+00 3.991504745123e-16 9.752886591234e-17 -1.616857603932e-17 + 1918 3.043605640947e-11 1.670165051868e-12 -1.450351463189e-12 0.000000000000e+00 3.982476464990e-16 9.785817500009e-17 -1.616369582973e-17 + 1919 3.037516814009e-11 1.671239473842e-12 -1.480643301947e-12 0.000000000000e+00 3.973472100405e-16 9.818156335022e-17 -1.615752821977e-17 + 1920 3.031656567458e-11 1.672123213136e-12 -1.510936368492e-12 0.000000000000e+00 3.964491585314e-16 9.849906777926e-17 -1.615008394142e-17 + 1921 3.026023105830e-11 1.672816570562e-12 -1.541217992886e-12 0.000000000000e+00 3.955534852992e-16 9.881072531855e-17 -1.614137378376e-17 + 1922 3.020614623840e-11 1.673319850041e-12 -1.571475452814e-12 0.000000000000e+00 3.946601836049e-16 9.911657321465e-17 -1.613140859302e-17 + 1923 3.015429306374e-11 1.673633358616e-12 -1.601695973514e-12 0.000000000000e+00 3.937692466425e-16 9.941664892954e-17 -1.612019927268e-17 + 1924 3.010465328469e-11 1.673757406454e-12 -1.631866727710e-12 0.000000000000e+00 3.928806675390e-16 9.971099014104e-17 -1.610775678355e-17 + 1925 3.005720855307e-11 1.673692306846e-12 -1.661974835545e-12 0.000000000000e+00 3.919944393542e-16 9.999963474302e-17 -1.609409214384e-17 + 1926 3.001194042194e-11 1.673438376220e-12 -1.692007364514e-12 0.000000000000e+00 3.911105550807e-16 1.002826208458e-16 -1.607921642925e-17 + 1927 2.996883034551e-11 1.672995934142e-12 -1.721951329391e-12 0.000000000000e+00 3.902290076439e-16 1.005599867762e-16 -1.606314077304e-17 + 1928 2.992785967898e-11 1.672365303318e-12 -1.751793692170e-12 0.000000000000e+00 3.893497899016e-16 1.008317710784e-16 -1.604587636609e-17 + 1929 2.988900967839e-11 1.671546809604e-12 -1.781521361988e-12 0.000000000000e+00 3.884728946441e-16 1.010980125137e-16 -1.602743445705e-17 + 1930 2.985226150051e-11 1.670540782007e-12 -1.811121195062e-12 0.000000000000e+00 3.875983145941e-16 1.013587500609e-16 -1.600782635233e-17 + 1931 2.981759620269e-11 1.669347552694e-12 -1.840579994621e-12 0.000000000000e+00 3.867260424064e-16 1.016140229169e-16 -1.598706341625e-17 + 1932 2.978499474273e-11 1.667967456990e-12 -1.869884510837e-12 0.000000000000e+00 3.858560706680e-16 1.018638704969e-16 -1.596515707107e-17 + 1933 2.975443797870e-11 1.666400833392e-12 -1.899021440758e-12 0.000000000000e+00 3.849883918979e-16 1.021083324344e-16 -1.594211879710e-17 + 1934 2.972590666888e-11 1.664648023565e-12 -1.927977428239e-12 0.000000000000e+00 3.841229985471e-16 1.023474485821e-16 -1.591796013278e-17 + 1935 2.969938147154e-11 1.662709372353e-12 -1.956739063874e-12 0.000000000000e+00 3.832598829983e-16 1.025812590114e-16 -1.589269267474e-17 + 1936 2.967484294485e-11 1.660585227781e-12 -1.985292884930e-12 0.000000000000e+00 3.823990375659e-16 1.028098040137e-16 -1.586632807788e-17 + 1937 2.965227154673e-11 1.658275941060e-12 -2.013625375278e-12 0.000000000000e+00 3.815404544959e-16 1.030331240997e-16 -1.583887805548e-17 + 1938 2.963164763473e-11 1.655781866594e-12 -2.041722965324e-12 0.000000000000e+00 3.806841259658e-16 1.032512600004e-16 -1.581035437925e-17 + 1939 2.961295146585e-11 1.653103361981e-12 -2.069572031943e-12 0.000000000000e+00 3.798300440844e-16 1.034642526672e-16 -1.578076887942e-17 + 1940 2.959616319644e-11 1.650240788022e-12 -2.097158898411e-12 0.000000000000e+00 3.789782008919e-16 1.036721432722e-16 -1.575013344481e-17 + 1941 2.958126288203e-11 1.647194508722e-12 -2.124469834335e-12 0.000000000000e+00 3.781285883596e-16 1.038749732083e-16 -1.571846002292e-17 + 1942 2.956823047723e-11 1.643964891300e-12 -2.151491055587e-12 0.000000000000e+00 3.772811983897e-16 1.040727840901e-16 -1.568576062003e-17 + 1943 2.955704583557e-11 1.640552306187e-12 -2.178208724237e-12 0.000000000000e+00 3.764360228156e-16 1.042656177534e-16 -1.565204730122e-17 + 1944 2.954768870936e-11 1.636957127036e-12 -2.204608948481e-12 0.000000000000e+00 3.755930534013e-16 1.044535162561e-16 -1.561733219051e-17 + 1945 2.954013874953e-11 1.633179730727e-12 -2.230677782580e-12 0.000000000000e+00 3.747522818417e-16 1.046365218785e-16 -1.558162747092e-17 + 1946 2.953437550557e-11 1.629220497367e-12 -2.256401226785e-12 0.000000000000e+00 3.739136997621e-16 1.048146771230e-16 -1.554494538453e-17 + 1947 2.953037842530e-11 1.625079810301e-12 -2.281765227272e-12 0.000000000000e+00 3.730772987186e-16 1.049880247154e-16 -1.550729823258e-17 + 1948 2.952812424547e-11 1.620758419779e-12 -2.306757103619e-12 0.000000000000e+00 3.722430707648e-16 1.051565945969e-16 -1.546869614482e-17 + 1949 2.952757914227e-11 1.616258536952e-12 -2.331369843093e-12 0.000000000000e+00 3.714110101586e-16 1.053203647969e-16 -1.542914036912e-17 + 1950 2.952870652157e-11 1.611582748106e-12 -2.355597838486e-12 0.000000000000e+00 3.705811116681e-16 1.054793002672e-16 -1.538862993156e-17 + 1951 2.953146962265e-11 1.606733651760e-12 -2.379435463488e-12 0.000000000000e+00 3.697533700057e-16 1.056333658625e-16 -1.534716386266e-17 + 1952 2.953583151796e-11 1.601713858678e-12 -2.402877072654e-12 0.000000000000e+00 3.689277798274e-16 1.057825263407e-16 -1.530474119735e-17 + 1953 2.954175511292e-11 1.596525991892e-12 -2.425917001389e-12 0.000000000000e+00 3.681043357336e-16 1.059267463622e-16 -1.526136097498e-17 + 1954 2.954920314571e-11 1.591172686713e-12 -2.448549565920e-12 0.000000000000e+00 3.672830322681e-16 1.060659904902e-16 -1.521702223935e-17 + 1955 2.955813818702e-11 1.585656590747e-12 -2.470769063278e-12 0.000000000000e+00 3.664638639187e-16 1.062002231903e-16 -1.517172403869e-17 + 1956 2.956852263983e-11 1.579980363917e-12 -2.492569771270e-12 0.000000000000e+00 3.656468251167e-16 1.063294088308e-16 -1.512546542568e-17 + 1957 2.958031873923e-11 1.574146678473e-12 -2.513945948461e-12 0.000000000000e+00 3.648319102370e-16 1.064535116823e-16 -1.507824545749e-17 + 1958 2.959348855215e-11 1.568158219012e-12 -2.534891834147e-12 0.000000000000e+00 3.640191135978e-16 1.065724959175e-16 -1.503006319574e-17 + 1959 2.960799397719e-11 1.562017682494e-12 -2.555401648337e-12 0.000000000000e+00 3.632084294609e-16 1.066863256115e-16 -1.498091770653e-17 + 1960 2.962379674433e-11 1.555727778256e-12 -2.575469591725e-12 0.000000000000e+00 3.623998520313e-16 1.067949647413e-16 -1.493080806046e-17 + 1961 2.964085841479e-11 1.549291228031e-12 -2.595089845672e-12 0.000000000000e+00 3.615933754570e-16 1.068983771858e-16 -1.487973333262e-17 + 1962 2.965914038074e-11 1.542710765964e-12 -2.614256572180e-12 0.000000000000e+00 3.607889938294e-16 1.069965267259e-16 -1.482769260263e-17 + 1963 2.967860386512e-11 1.535989138627e-12 -2.632963913871e-12 0.000000000000e+00 3.599867011827e-16 1.070893770442e-16 -1.477468495460e-17 + 1964 2.969920992143e-11 1.529129105037e-12 -2.651205993964e-12 0.000000000000e+00 3.591864914941e-16 1.071768917247e-16 -1.472070947717e-17 + 1965 2.972091943344e-11 1.522133436670e-12 -2.668976916249e-12 0.000000000000e+00 3.583883586836e-16 1.072590342533e-16 -1.466576526354e-17 + 1966 2.974369311506e-11 1.515004917479e-12 -2.686270765071e-12 0.000000000000e+00 3.575922966138e-16 1.073357680171e-16 -1.460985141144e-17 + 1967 2.976749151006e-11 1.507746343912e-12 -2.703081605300e-12 0.000000000000e+00 3.567982990903e-16 1.074070563046e-16 -1.455296702314e-17 + 1968 2.979227499187e-11 1.500360524926e-12 -2.719403482315e-12 0.000000000000e+00 3.560063598609e-16 1.074728623054e-16 -1.449511120549e-17 + 1969 2.981800376334e-11 1.492850282001e-12 -2.735230421975e-12 0.000000000000e+00 3.552164726160e-16 1.075331491103e-16 -1.443628306992e-17 + 1970 2.984463785657e-11 1.485218449163e-12 -2.750556430600e-12 0.000000000000e+00 3.544286309885e-16 1.075878797112e-16 -1.437648173241e-17 + 1971 2.987213713262e-11 1.477467872994e-12 -2.765375494947e-12 0.000000000000e+00 3.536428285533e-16 1.076370170008e-16 -1.431570631356e-17 + 1972 2.990046128133e-11 1.469601412653e-12 -2.779681582189e-12 0.000000000000e+00 3.528590588278e-16 1.076805237726e-16 -1.425395593856e-17 + 1973 2.992956982111e-11 1.461621939888e-12 -2.793468639888e-12 0.000000000000e+00 3.520773152714e-16 1.077183627208e-16 -1.419122973721e-17 + 1974 2.995942209869e-11 1.453532339057e-12 -2.806730595979e-12 0.000000000000e+00 3.512975912855e-16 1.077504964402e-16 -1.412752684391e-17 + 1975 2.998997728891e-11 1.445335507139e-12 -2.819461358739e-12 0.000000000000e+00 3.505198802133e-16 1.077768874262e-16 -1.406284639772e-17 + 1976 3.002119439451e-11 1.437034353757e-12 -2.831654816771e-12 0.000000000000e+00 3.497441753401e-16 1.077974980743e-16 -1.399718754230e-17 + 1977 3.005303224589e-11 1.428631801187e-12 -2.843304838979e-12 0.000000000000e+00 3.489704698928e-16 1.078122906805e-16 -1.393054942599e-17 + 1978 3.008544950092e-11 1.420130784381e-12 -2.854405274544e-12 0.000000000000e+00 3.481987570399e-16 1.078212274411e-16 -1.386293120174e-17 + 1979 3.011840464467e-11 1.411534250978e-12 -2.864949952903e-12 0.000000000000e+00 3.474290298916e-16 1.078242704522e-16 -1.379433202722e-17 + 1980 3.015185598924e-11 1.402845161324e-12 -2.874932683724e-12 0.000000000000e+00 3.466612814996e-16 1.078213817099e-16 -1.372475106472e-17 + 1981 3.018576167352e-11 1.394066488487e-12 -2.884347256886e-12 0.000000000000e+00 3.458955048568e-16 1.078125231103e-16 -1.365418748123e-17 + 1982 3.022007966296e-11 1.385201218273e-12 -2.893187442455e-12 0.000000000000e+00 3.451316928977e-16 1.077976564493e-16 -1.358264044845e-17 + 1983 3.025476774934e-11 1.376252349244e-12 -2.901446990661e-12 0.000000000000e+00 3.443698384976e-16 1.077767434222e-16 -1.351010914274e-17 + 1984 3.028978355061e-11 1.367222892731e-12 -2.909119631876e-12 0.000000000000e+00 3.436099344733e-16 1.077497456241e-16 -1.343659274521e-17 + 1985 3.032508451059e-11 1.358115872853e-12 -2.916199076590e-12 0.000000000000e+00 3.428519735825e-16 1.077166245494e-16 -1.336209044165e-17 + 1986 3.036062789879e-11 1.348934326535e-12 -2.922679015388e-12 0.000000000000e+00 3.420959485238e-16 1.076773415920e-16 -1.328660142260e-17 + 1987 3.039637250062e-11 1.339681315154e-12 -2.928554666132e-12 0.000000000000e+00 3.413418524206e-16 1.076318767245e-16 -1.321012135268e-17 + 1988 3.043228370198e-11 1.330359959559e-12 -2.933827428001e-12 0.000000000000e+00 3.405896802759e-16 1.075802846882e-16 -1.313263175015e-17 + 1989 3.046832844166e-11 1.320973405343e-12 -2.938500261687e-12 0.000000000000e+00 3.398394275285e-16 1.075226392167e-16 -1.305411052916e-17 + 1990 3.050447352417e-11 1.311524811249e-12 -2.942576145325e-12 0.000000000000e+00 3.390910895689e-16 1.074590143950e-16 -1.297453552318e-17 + 1991 3.054068561957e-11 1.302017349191e-12 -2.946058074525e-12 0.000000000000e+00 3.383446617403e-16 1.073894846591e-16 -1.289388448488e-17 + 1992 3.057693126328e-11 1.292454204263e-12 -2.948949062389e-12 0.000000000000e+00 3.376001393378e-16 1.073141247972e-16 -1.281213508609e-17 + 1993 3.061317685592e-11 1.282838574762e-12 -2.951252139540e-12 0.000000000000e+00 3.368575176085e-16 1.072330099496e-16 -1.272926491764e-17 + 1994 3.064938866315e-11 1.273173672204e-12 -2.952970354145e-12 0.000000000000e+00 3.361167917517e-16 1.071462156097e-16 -1.264525148931e-17 + 1995 3.068553281549e-11 1.263462721335e-12 -2.954106771935e-12 0.000000000000e+00 3.353779569185e-16 1.070538176241e-16 -1.256007222970e-17 + 1996 3.072157530816e-11 1.253708960156e-12 -2.954664476238e-12 0.000000000000e+00 3.346410082117e-16 1.069558921929e-16 -1.247370448614e-17 + 1997 3.075748200090e-11 1.243915639934e-12 -2.954646567995e-12 0.000000000000e+00 3.339059406862e-16 1.068525158707e-16 -1.238612552461e-17 + 1998 3.079321861780e-11 1.234086025220e-12 -2.954056165788e-12 0.000000000000e+00 3.331727493483e-16 1.067437655667e-16 -1.229731252962e-17 + 1999 3.082875074717e-11 1.224223393867e-12 -2.952896405864e-12 0.000000000000e+00 3.324414291561e-16 1.066297185452e-16 -1.220724260412e-17 + 2000 3.086404384129e-11 1.214331037046e-12 -2.951170442160e-12 0.000000000000e+00 3.317119750191e-16 1.065104524261e-16 -1.211589276939e-17 + 2001 3.089906321632e-11 1.204412259262e-12 -2.948881446324e-12 0.000000000000e+00 3.309843817984e-16 1.063860451853e-16 -1.202323996496e-17 + 2002 3.093377405209e-11 1.194470378370e-12 -2.946032607743e-12 0.000000000000e+00 3.302586443063e-16 1.062565751555e-16 -1.192926104852e-17 + 2003 3.096814139195e-11 1.184508725595e-12 -2.942627133566e-12 0.000000000000e+00 3.295347573067e-16 1.061221210259e-16 -1.183393279578e-17 + 2004 3.100213014258e-11 1.174530645545e-12 -2.938668248727e-12 0.000000000000e+00 3.288127155144e-16 1.059827618437e-16 -1.173723190041e-17 + 2005 3.103570507382e-11 1.164539496231e-12 -2.934159195970e-12 0.000000000000e+00 3.280925135957e-16 1.058385770137e-16 -1.163913497394e-17 + 2006 3.106883081855e-11 1.154538649080e-12 -2.929103235874e-12 0.000000000000e+00 3.273741461678e-16 1.056896462991e-16 -1.153961854564e-17 + 2007 3.110147187244e-11 1.144531488955e-12 -2.923503646877e-12 0.000000000000e+00 3.266576077990e-16 1.055360498219e-16 -1.143865906244e-17 + 2008 3.113359259386e-11 1.134521414170e-12 -2.917363725300e-12 0.000000000000e+00 3.259428930083e-16 1.053778680637e-16 -1.133623288880e-17 + 2009 3.116515720364e-11 1.124511836507e-12 -2.910686785369e-12 0.000000000000e+00 3.252299962660e-16 1.052151818654e-16 -1.123231630668e-17 + 2010 3.119612978497e-11 1.114506181233e-12 -2.903476159244e-12 0.000000000000e+00 3.245189119927e-16 1.050480724286e-16 -1.112688551538e-17 + 2011 3.122647428318e-11 1.104507887116e-12 -2.895735197039e-12 0.000000000000e+00 3.238096345602e-16 1.048766213154e-16 -1.101991663144e-17 + 2012 3.125615450558e-11 1.094520406445e-12 -2.887467266850e-12 0.000000000000e+00 3.231021582906e-16 1.047009104489e-16 -1.091138568860e-17 + 2013 3.128513412130e-11 1.084547205039e-12 -2.878675754775e-12 0.000000000000e+00 3.223964774567e-16 1.045210221140e-16 -1.080126863764e-17 + 2014 3.131337666114e-11 1.074591762272e-12 -2.869364064940e-12 0.000000000000e+00 3.216925862817e-16 1.043370389577e-16 -1.068954134630e-17 + 2015 3.134084551735e-11 1.064657571086e-12 -2.859535619527e-12 0.000000000000e+00 3.209904789393e-16 1.041490439896e-16 -1.057617959922e-17 + 2016 3.136750394350e-11 1.054748138008e-12 -2.849193858791e-12 0.000000000000e+00 3.202901495536e-16 1.039571205820e-16 -1.046115909779e-17 + 2017 3.139331505432e-11 1.044866983166e-12 -2.838342241090e-12 0.000000000000e+00 3.195915921989e-16 1.037613524711e-16 -1.034445546006e-17 + 2018 3.141824182547e-11 1.035017640306e-12 -2.826984242907e-12 0.000000000000e+00 3.188948008995e-16 1.035618237567e-16 -1.022604422068e-17 + 2019 3.144224709347e-11 1.025203656811e-12 -2.815123358875e-12 0.000000000000e+00 3.181997696301e-16 1.033586189032e-16 -1.010590083075e-17 + 2020 3.146529355541e-11 1.015428593715e-12 -2.802763101800e-12 0.000000000000e+00 3.175064923154e-16 1.031518227398e-16 -9.984000657767e-18 + 2021 3.148734376889e-11 1.005696025719e-12 -2.789907002688e-12 0.000000000000e+00 3.168149628298e-16 1.029415204610e-16 -9.860318985502e-18 + 2022 3.150836015178e-11 9.960095412123e-13 -2.776558610764e-12 0.000000000000e+00 3.161251749980e-16 1.027277976271e-16 -9.734831013903e-18 + 2023 3.152830498209e-11 9.863727422830e-13 -2.762721493503e-12 0.000000000000e+00 3.154371225942e-16 1.025107401647e-16 -9.607511859004e-18 + 2024 3.154714039778e-11 9.767892447399e-13 -2.748399236650e-12 0.000000000000e+00 3.147507993425e-16 1.022904343672e-16 -9.478336552824e-18 + 2025 3.156482839659e-11 9.672626781265e-13 -2.733595444242e-12 0.000000000000e+00 3.140661989165e-16 1.020669668950e-16 -9.347280043266e-18 + 2026 3.158133518217e-11 9.577963964946e-13 -2.718314560889e-12 0.000000000000e+00 3.133833153527e-16 1.018404037448e-16 -9.214337966552e-18 + 2027 3.159664423702e-11 9.483926084055e-13 -2.702564345033e-12 0.000000000000e+00 3.127021442929e-16 1.016107269899e-16 -9.079589128754e-18 + 2028 3.161074334366e-11 9.390532406769e-13 -2.686353413602e-12 0.000000000000e+00 3.120226817504e-16 1.013778975835e-16 -8.943133475469e-18 + 2029 3.162362024685e-11 9.297802270636e-13 -2.669690421429e-12 0.000000000000e+00 3.113449236978e-16 1.011418763490e-16 -8.805071360779e-18 + 2030 3.163526265359e-11 9.205755082667e-13 -2.652584061304e-12 0.000000000000e+00 3.106688660665e-16 1.009026239794e-16 -8.665503547763e-18 + 2031 3.164565823304e-11 9.114410319410e-13 -2.635043064018e-12 0.000000000000e+00 3.099945047474e-16 1.006601010373e-16 -8.524531209004e-18 + 2032 3.165479461649e-11 9.023787527040e-13 -2.617076198415e-12 0.000000000000e+00 3.093218355900e-16 1.004142679546e-16 -8.382255927095e-18 + 2033 3.166265939733e-11 8.933906321434e-13 -2.598692271436e-12 0.000000000000e+00 3.086508544029e-16 1.001650850328e-16 -8.238779695156e-18 + 2034 3.166924013100e-11 8.844786388260e-13 -2.579900128173e-12 0.000000000000e+00 3.079815569535e-16 9.991251244236e-17 -8.094204917332e-18 + 2035 3.167452433494e-11 8.756447483056e-13 -2.560708651911e-12 0.000000000000e+00 3.073139389681e-16 9.965651022272e-17 -7.948634409313e-18 + 2036 3.167849948855e-11 8.668909431312e-13 -2.541126764181e-12 0.000000000000e+00 3.066479961314e-16 9.939703828222e-17 -7.802171398833e-18 + 2037 3.168115303316e-11 8.582192128555e-13 -2.521163424807e-12 0.000000000000e+00 3.059837240872e-16 9.913405639786e-17 -7.654919526184e-18 + 2038 3.168247237199e-11 8.496315540430e-13 -2.500827631952e-12 0.000000000000e+00 3.053211184377e-16 9.886752421519e-17 -7.506982844725e-18 + 2039 3.168244487006e-11 8.411299702784e-13 -2.480128422170e-12 0.000000000000e+00 3.046601747435e-16 9.859740124814e-17 -7.358465821390e-18 + 2040 3.168105785423e-11 8.327164721746e-13 -2.459074870451e-12 0.000000000000e+00 3.040008885240e-16 9.832364687888e-17 -7.209473337194e-18 + 2041 3.167829861307e-11 8.243930773810e-13 -2.437676090272e-12 0.000000000000e+00 3.033432552567e-16 9.804622035767e-17 -7.060110687747e-18 + 2042 3.167415439690e-11 8.161618105919e-13 -2.415941233643e-12 0.000000000000e+00 3.026872703777e-16 9.776508080269e-17 -6.910483583758e-18 + 2043 3.166861241769e-11 8.080247035549e-13 -2.393879491156e-12 0.000000000000e+00 3.020329292811e-16 9.748018719991e-17 -6.760698151548e-18 + 2044 3.166165984902e-11 7.999837950787e-13 -2.371500092035e-12 0.000000000000e+00 3.013802273196e-16 9.719149840293e-17 -6.610860933555e-18 + 2045 3.165328382609e-11 7.920411310416e-13 -2.348812304180e-12 0.000000000000e+00 3.007291598038e-16 9.689897313282e-17 -6.461078888846e-18 + 2046 3.164347144561e-11 7.841987643998e-13 -2.325825434222e-12 0.000000000000e+00 3.000797220024e-16 9.660256997800e-17 -6.311459393623e-18 + 2047 3.163220976579e-11 7.764587551956e-13 -2.302548827563e-12 0.000000000000e+00 2.994319091423e-16 9.630224739406e-17 -6.162110241734e-18 + 2048 3.161948580633e-11 7.688231705656e-13 -2.278991868431e-12 0.000000000000e+00 2.987857164081e-16 9.599796370359e-17 -6.013139645182e-18 + 2049 3.160528654831e-11 7.612940847489e-13 -2.255163979926e-12 0.000000000000e+00 2.981411389427e-16 9.568967709609e-17 -5.864656234631e-18 + 2050 3.158959893420e-11 7.538735790957e-13 -2.231074624068e-12 0.000000000000e+00 2.974981718465e-16 9.537734562775e-17 -5.716769059917e-18 + 2051 3.157240986778e-11 7.465637420750e-13 -2.206733301844e-12 0.000000000000e+00 2.968568101779e-16 9.506092722138e-17 -5.569587590557e-18 + 2052 3.155370621415e-11 7.393666692834e-13 -2.182149553259e-12 0.000000000000e+00 2.962170489528e-16 9.474037966615e-17 -5.423221716258e-18 + 2053 3.153347479964e-11 7.322844634528e-13 -2.157332957382e-12 0.000000000000e+00 2.955788831451e-16 9.441566061755e-17 -5.277781747423e-18 + 2054 3.151170241177e-11 7.253192344592e-13 -2.132293132396e-12 0.000000000000e+00 2.949423076859e-16 9.408672759716e-17 -5.133378415665e-18 + 2055 3.148837579924e-11 7.184730993307e-13 -2.107039735646e-12 0.000000000000e+00 2.943073174642e-16 9.375353799253e-17 -4.990122874310e-18 + 2056 3.146348167186e-11 7.117481822555e-13 -2.081582463685e-12 0.000000000000e+00 2.936739073261e-16 9.341604905705e-17 -4.848126698909e-18 + 2057 3.143700670052e-11 7.051466145907e-13 -2.055931052325e-12 0.000000000000e+00 2.930420720755e-16 9.307421790974e-17 -4.707501887748e-18 + 2058 3.140893751715e-11 6.986705348699e-13 -2.030095276684e-12 0.000000000000e+00 2.924118064733e-16 9.272800153515e-17 -4.568360862353e-18 + 2059 3.137926071466e-11 6.923220888122e-13 -2.004084951235e-12 0.000000000000e+00 2.917831052379e-16 9.237735678320e-17 -4.430816468003e-18 + 2060 3.134796284692e-11 6.861034293298e-13 -1.977909929854e-12 0.000000000000e+00 2.911559630449e-16 9.202224036900e-17 -4.294981974235e-18 + 2061 3.131503042870e-11 6.800167165364e-13 -1.951580105867e-12 0.000000000000e+00 2.905303745268e-16 9.166260887274e-17 -4.160971075356e-18 + 2062 3.128044993565e-11 6.740641177559e-13 -1.925105412100e-12 0.000000000000e+00 2.899063342736e-16 9.129841873952e-17 -4.028897890949e-18 + 2063 3.124420780423e-11 6.682478075300e-13 -1.898495820927e-12 0.000000000000e+00 2.892838368321e-16 9.092962627916e-17 -3.898876966386e-18 + 2064 3.120629043167e-11 6.625699676269e-13 -1.871761344318e-12 0.000000000000e+00 2.886628767060e-16 9.055618766614e-17 -3.771023273331e-18 + 2065 3.116668841848e-11 6.570324002731e-13 -1.844911807645e-12 0.000000000000e+00 2.880434487093e-16 9.017810109490e-17 -3.645418271741e-18 + 2066 3.112540932874e-11 6.516353648355e-13 -1.817956169260e-12 0.000000000000e+00 2.874255490285e-16 8.979553357307e-17 -3.522007831875e-18 + 2067 3.108246502014e-11 6.463787329099e-13 -1.790903196190e-12 0.000000000000e+00 2.868091741680e-16 8.940869502673e-17 -3.400703589726e-18 + 2068 3.103786740979e-11 6.412623743458e-13 -1.763761689985e-12 0.000000000000e+00 2.861943205967e-16 8.901779622752e-17 -3.281416819396e-18 + 2069 3.099162847423e-11 6.362861572435e-13 -1.736540486756e-12 0.000000000000e+00 2.855809847486e-16 8.862304879364e-17 -3.164058432649e-18 + 2070 3.094376024960e-11 6.314499479521e-13 -1.709248457221e-12 0.000000000000e+00 2.849691630227e-16 8.822466519093e-17 -3.048538978465e-18 + 2071 3.089427483162e-11 6.267536110662e-13 -1.681894506744e-12 0.000000000000e+00 2.843588517824e-16 8.782285873388e-17 -2.934768642597e-18 + 2072 3.084318437574e-11 6.221970094236e-13 -1.654487575376e-12 0.000000000000e+00 2.837500473562e-16 8.741784358665e-17 -2.822657247122e-18 + 2073 3.079050109718e-11 6.177800041029e-13 -1.627036637903e-12 0.000000000000e+00 2.831427460369e-16 8.700983476414e-17 -2.712114249997e-18 + 2074 3.073623727102e-11 6.135024544202e-13 -1.599550703881e-12 0.000000000000e+00 2.825369440824e-16 8.659904813298e-17 -2.603048744611e-18 + 2075 3.068040523226e-11 6.093642179272e-13 -1.572038817680e-12 0.000000000000e+00 2.819326377147e-16 8.618570041261e-17 -2.495369459344e-18 + 2076 3.062301737594e-11 6.053651504082e-13 -1.544510058527e-12 0.000000000000e+00 2.813298231206e-16 8.577000917629e-17 -2.388984757115e-18 + 2077 3.056408615716e-11 6.015051058775e-13 -1.516973540549e-12 0.000000000000e+00 2.807284964513e-16 8.535219285213e-17 -2.283802634941e-18 + 2078 3.050362409120e-11 5.977839365767e-13 -1.489438412812e-12 0.000000000000e+00 2.801286538223e-16 8.493247072415e-17 -2.179730723488e-18 + 2079 3.044164375359e-11 5.942014929725e-13 -1.461913859363e-12 0.000000000000e+00 2.795302913135e-16 8.451106293327e-17 -2.076676286628e-18 + 2080 3.037815778015e-11 5.907576237533e-13 -1.434409099276e-12 0.000000000000e+00 2.789334049694e-16 8.408819047839e-17 -1.974546220992e-18 + 2081 3.031317886712e-11 5.874521758274e-13 -1.406933386688e-12 0.000000000000e+00 2.783379907982e-16 8.366407521741e-17 -1.873247055524e-18 + 2082 3.024671977122e-11 5.842849943197e-13 -1.379496010846e-12 0.000000000000e+00 2.777440447728e-16 8.323893986824e-17 -1.772684951034e-18 + 2083 3.017879330971e-11 5.812559225696e-13 -1.352106296147e-12 0.000000000000e+00 2.771515628299e-16 8.281300800988e-17 -1.672765699754e-18 + 2084 3.010941236046e-11 5.783648021280e-13 -1.324773602177e-12 0.000000000000e+00 2.765605408705e-16 8.238650408342e-17 -1.573394724894e-18 + 2085 3.003858986207e-11 5.756114727549e-13 -1.297507323759e-12 0.000000000000e+00 2.759709747596e-16 8.195965339307e-17 -1.474477080191e-18 + 2086 2.996633881392e-11 5.729957724166e-13 -1.270316890990e-12 0.000000000000e+00 2.753828603260e-16 8.153268210723e-17 -1.375917449467e-18 + 2087 2.989267227624e-11 5.705175372830e-13 -1.243211769284e-12 0.000000000000e+00 2.747961933628e-16 8.110581725949e-17 -1.277620146184e-18 + 2088 2.981760337020e-11 5.681766017255e-13 -1.216201459415e-12 0.000000000000e+00 2.742109696266e-16 8.067928674969e-17 -1.179489112994e-18 + 2089 2.974114527798e-11 5.659727983137e-13 -1.189295497558e-12 0.000000000000e+00 2.736271848381e-16 8.025331934491e-17 -1.081427921298e-18 + 2090 2.966331124286e-11 5.639059578131e-13 -1.162503455333e-12 0.000000000000e+00 2.730448346816e-16 7.982814468058e-17 -9.833397707973e-19 + 2091 2.958411456928e-11 5.619759091826e-13 -1.135834939841e-12 0.000000000000e+00 2.724639148051e-16 7.940399326144e-17 -8.851274890473e-19 + 2092 2.950356862291e-11 5.601824795715e-13 -1.109299593714e-12 0.000000000000e+00 2.718844208205e-16 7.898109646262e-17 -7.866935310141e-19 + 2093 2.942168683078e-11 5.585254943172e-13 -1.082907095152e-12 0.000000000000e+00 2.713063483031e-16 7.855968653065e-17 -6.879399786273e-19 + 2094 2.933848268127e-11 5.570047769424e-13 -1.056667157964e-12 0.000000000000e+00 2.707296927919e-16 7.813999658452e-17 -5.887685403339e-19 + 2095 2.925396972428e-11 5.556201491527e-13 -1.030589531613e-12 0.000000000000e+00 2.701544497891e-16 7.772226061668e-17 -4.890805506534e-19 + 2096 2.916816157125e-11 5.543714308334e-13 -1.004684001257e-12 0.000000000000e+00 2.695806147609e-16 7.730671349411e-17 -3.887769697313e-19 + 2097 2.908107189522e-11 5.532584400477e-13 -9.789603877904e-13 0.000000000000e+00 2.690081831363e-16 7.689359095932e-17 -2.877583828937e-19 + 2098 2.899271443098e-11 5.522809930335e-13 -9.534285478851e-13 0.000000000000e+00 2.684371503081e-16 7.648312963142e-17 -1.859250002012e-19 + 2099 2.890310297508e-11 5.514389042007e-13 -9.280983740342e-13 0.000000000000e+00 2.678675116322e-16 7.607556700712e-17 -8.317665600352e-20 + 2100 2.881225138593e-11 5.507319861291e-13 -9.029797945930e-13 0.000000000000e+00 2.672992624278e-16 7.567114146179e-17 2.058719150653e-20 + 2101 2.872017358390e-11 5.501600495652e-13 -8.780827738208e-13 0.000000000000e+00 2.667323979773e-16 7.527009225050e-17 1.254674607389e-19 + 2102 2.862688355135e-11 5.497229034200e-13 -8.534173119229e-13 0.000000000000e+00 2.661669135260e-16 7.487265950901e-17 2.315654471520e-19 + 2103 2.853239533274e-11 5.494203547662e-13 -8.289934450927e-13 0.000000000000e+00 2.656028042827e-16 7.447908425486e-17 3.389828236985e-19 + 2104 2.843672492575e-11 5.492519453328e-13 -8.048202724012e-13 0.000000000000e+00 2.650400657216e-16 7.408953279232e-17 4.477918995178e-19 + 2105 2.833989596881e-11 5.492161589910e-13 -7.809030289812e-13 0.000000000000e+00 2.644786944933e-16 7.370386935043e-17 5.579461689496e-19 + 2106 2.824193409330e-11 5.493112087494e-13 -7.572459925640e-13 0.000000000000e+00 2.639186875200e-16 7.332188186519e-17 6.693691410736e-19 + 2107 2.814286503620e-11 5.495352997465e-13 -7.338534547982e-13 0.000000000000e+00 2.633600416941e-16 7.294335743104e-17 7.819840245994e-19 + 2108 2.804271464025e-11 5.498866292405e-13 -7.107297212657e-13 0.000000000000e+00 2.628027538775e-16 7.256808229978e-17 8.957137275071e-19 + 2109 2.794150885405e-11 5.503633866000e-13 -6.878791114968e-13 0.000000000000e+00 2.622468209018e-16 7.219584187958e-17 1.010480856686e-18 + 2110 2.783927373219e-11 5.509637532939e-13 -6.653059589861e-13 0.000000000000e+00 2.616922395684e-16 7.182642073398e-17 1.126207717577e-18 + 2111 2.773603543539e-11 5.516859028818e-13 -6.430146112076e-13 0.000000000000e+00 2.611390066481e-16 7.145960258086e-17 1.242816313810e-18 + 2112 2.763182023065e-11 5.525280010041e-13 -6.210094296308e-13 0.000000000000e+00 2.605871188814e-16 7.109517029144e-17 1.360228346844e-18 + 2113 2.752665449132e-11 5.534882053726e-13 -5.992947897356e-13 0.000000000000e+00 2.600365729784e-16 7.073290588926e-17 1.478365215608e-18 + 2114 2.742056469729e-11 5.545646657601e-13 -5.778750810286e-13 0.000000000000e+00 2.594873656185e-16 7.037259054913e-17 1.597148016143e-18 + 2115 2.731357743508e-11 5.557555239911e-13 -5.567547070579e-13 0.000000000000e+00 2.589394934507e-16 7.001400459620e-17 1.716497541237e-18 + 2116 2.720571939797e-11 5.570589139321e-13 -5.359380854291e-13 0.000000000000e+00 2.583929530931e-16 6.965692750487e-17 1.836334280069e-18 + 2117 2.709701738614e-11 5.584729614814e-13 -5.154296478207e-13 0.000000000000e+00 2.578477411335e-16 6.930113789780e-17 1.956578417847e-18 + 2118 2.698749830682e-11 5.599957845598e-13 -4.952338399996e-13 0.000000000000e+00 2.573038541288e-16 6.894641354490e-17 2.077149835449e-18 + 2119 2.687718917436e-11 5.616254931003e-13 -4.753551218367e-13 0.000000000000e+00 2.567612886051e-16 6.859253136232e-17 2.197968109064e-18 + 2120 2.676611711042e-11 5.633601890391e-13 -4.557979673224e-13 0.000000000000e+00 2.562200410579e-16 6.823926741145e-17 2.318952509827e-18 + 2121 2.665430934405e-11 5.651979663049e-13 -4.365668645823e-13 0.000000000000e+00 2.556801079516e-16 6.788639689784e-17 2.440022003466e-18 + 2122 2.654179321184e-11 5.671369108099e-13 -4.176663158924e-13 0.000000000000e+00 2.551414857200e-16 6.753369417029e-17 2.561095249935e-18 + 2123 2.642859615807e-11 5.691751004397e-13 -3.991008376950e-13 0.000000000000e+00 2.546041707658e-16 6.718093271974e-17 2.682090603060e-18 + 2124 2.631474573480e-11 5.713106050436e-13 -3.808749606140e-13 0.000000000000e+00 2.540681594607e-16 6.682788517830e-17 2.802926110175e-18 + 2125 2.620026960200e-11 5.735414864247e-13 -3.629932294707e-13 0.000000000000e+00 2.535334481455e-16 6.647432331826e-17 2.923519511764e-18 + 2126 2.608519552772e-11 5.758657983303e-13 -3.454602032988e-13 0.000000000000e+00 2.530000331299e-16 6.612001805103e-17 3.043788241099e-18 + 2127 2.596955138817e-11 5.782815864422e-13 -3.282804553608e-13 0.000000000000e+00 2.524679106924e-16 6.576473942614e-17 3.163649423882e-18 + 2128 2.585336516788e-11 5.807868883665e-13 -3.114585731626e-13 0.000000000000e+00 2.519370770805e-16 6.540825663023e-17 3.283019877884e-18 + 2129 2.573666495981e-11 5.833797336244e-13 -2.949991584697e-13 0.000000000000e+00 2.514075285103e-16 6.505033798605e-17 3.401816112584e-18 + 2130 2.561947896549e-11 5.860581436421e-13 -2.789068273226e-13 0.000000000000e+00 2.508792611669e-16 6.469075095144e-17 3.519954328811e-18 + 2131 2.550183549515e-11 5.888201317411e-13 -2.631862100521e-13 0.000000000000e+00 2.503522712039e-16 6.432926211829e-17 3.637350418383e-18 + 2132 2.538376296783e-11 5.916637031284e-13 -2.478419512950e-13 0.000000000000e+00 2.498265547438e-16 6.396563721155e-17 3.753919963747e-18 + 2133 2.526528991152e-11 5.945868548868e-13 -2.328787100098e-13 0.000000000000e+00 2.493021078774e-16 6.359964108822e-17 3.869578237617e-18 + 2134 2.514644496331e-11 5.975875759650e-13 -2.183011594921e-13 0.000000000000e+00 2.487789266644e-16 6.323103773634e-17 3.984240202617e-18 + 2135 2.502725686947e-11 6.006638471683e-13 -2.041139873899e-13 0.000000000000e+00 2.482570071329e-16 6.285959027393e-17 4.097820510919e-18 + 2136 2.490775448562e-11 6.038136411479e-13 -1.903218957196e-13 0.000000000000e+00 2.477363452794e-16 6.248506094805e-17 4.210233503886e-18 + 2137 2.478796677684e-11 6.070349223921e-13 -1.769296008812e-13 0.000000000000e+00 2.472169370689e-16 6.210721113372e-17 4.321393211707e-18 + 2138 2.466792281781e-11 6.103256472160e-13 -1.639418336739e-13 0.000000000000e+00 2.466987784350e-16 6.172580133295e-17 4.431213353040e-18 + 2139 2.454765179292e-11 6.136837637519e-13 -1.513633393118e-13 0.000000000000e+00 2.461818652793e-16 6.134059117370e-17 4.539607334652e-18 + 2140 2.442718299641e-11 6.171072119395e-13 -1.391988774394e-13 0.000000000000e+00 2.456661934719e-16 6.095133940888e-17 4.646488251058e-18 + 2141 2.430654583251e-11 6.205939235161e-13 -1.274532221468e-13 0.000000000000e+00 2.451517588513e-16 6.055780391534e-17 4.751768884162e-18 + 2142 2.418576981554e-11 6.241418220067e-13 -1.161311619857e-13 0.000000000000e+00 2.446385572240e-16 6.015974169282e-17 4.855361702895e-18 + 2143 2.406488353600e-11 6.277488018559e-13 -1.052364168523e-13 0.000000000000e+00 2.441265846250e-16 5.975698079318e-17 4.957191684617e-18 + 2144 2.394391155079e-11 6.314126656856e-13 -9.476838051817e-14 0.000000000000e+00 2.436158381002e-16 5.934963664688e-17 5.057234875759e-18 + 2145 2.382287747201e-11 6.351311865889e-13 -8.472535587903e-14 0.000000000000e+00 2.431063149293e-16 5.893789721215e-17 5.155480093867e-18 + 2146 2.370180499916e-11 6.389021289398e-13 -7.510563605393e-14 0.000000000000e+00 2.425980123657e-16 5.852195117985e-17 5.251916129732e-18 + 2147 2.358071791927e-11 6.427232483827e-13 -6.590750437258e-14 0.000000000000e+00 2.420909276368e-16 5.810198797431e-17 5.346531747365e-18 + 2148 2.345964010700e-11 6.465922918223e-13 -5.712923436264e-14 0.000000000000e+00 2.415850579438e-16 5.767819775424e-17 5.439315683970e-18 + 2149 2.333859552472e-11 6.505069974132e-13 -4.876908973691e-14 0.000000000000e+00 2.410804004614e-16 5.725077141353e-17 5.530256649924e-18 + 2150 2.321760822263e-11 6.544650945495e-13 -4.082532438063e-14 0.000000000000e+00 2.405769523385e-16 5.681990058218e-17 5.619343328746e-18 + 2151 2.309670233887e-11 6.584643038545e-13 -3.329618233870e-14 0.000000000000e+00 2.400747106973e-16 5.638577762713e-17 5.706564377074e-18 + 2152 2.297590209958e-11 6.625023371706e-13 -2.617989780297e-14 0.000000000000e+00 2.395736726337e-16 5.594859565312e-17 5.791908424643e-18 + 2153 2.285523181906e-11 6.665768975487e-13 -1.947469509942e-14 0.000000000000e+00 2.390738352173e-16 5.550854850359e-17 5.875364074253e-18 + 2154 2.273471589981e-11 6.706856792382e-13 -1.317878867550e-14 0.000000000000e+00 2.385751954914e-16 5.506583076150e-17 5.956919901751e-18 + 2155 2.261437883268e-11 6.748263676762e-13 -7.290383087316e-15 0.000000000000e+00 2.380777504726e-16 5.462063775022e-17 6.036564456000e-18 + 2156 2.249424519694e-11 6.789966394779e-13 -1.807672986898e-15 0.000000000000e+00 2.375814971511e-16 5.417316553439e-17 6.114286258859e-18 + 2157 2.237433966042e-11 6.831941624254e-13 3.271156890532e-15 0.000000000000e+00 2.370864324905e-16 5.372361092080e-17 6.190073805153e-18 + 2158 2.225468697956e-11 6.874165954583e-13 7.947931739326e-15 0.000000000000e+00 2.365925534279e-16 5.327217145923e-17 6.263915562652e-18 + 2159 2.213531199954e-11 6.916615886628e-13 1.222448669615e-14 0.000000000000e+00 2.360998568739e-16 5.281904544331e-17 6.335799972041e-18 + 2160 2.201623965439e-11 6.959267832614e-13 1.610266685274e-14 0.000000000000e+00 2.356083397121e-16 5.236443191144e-17 6.405715446901e-18 + 2161 2.189749496707e-11 7.002098116031e-13 1.958432726865e-14 0.000000000000e+00 2.351179987997e-16 5.190853064757e-17 6.473650373678e-18 + 2162 2.177910304958e-11 7.045082971523e-13 2.267133298399e-14 0.000000000000e+00 2.346288309671e-16 5.145154218214e-17 6.539593111662e-18 + 2163 2.166108910306e-11 7.088198544791e-13 2.536555903218e-14 0.000000000000e+00 2.341408330179e-16 5.099366779291e-17 6.603531992959e-18 + 2164 2.154347841792e-11 7.131420892489e-13 2.766889045270e-14 0.000000000000e+00 2.336540017290e-16 5.053510950583e-17 6.665455322466e-18 + 2165 2.142629637386e-11 7.174725982118e-13 2.958322230386e-14 0.000000000000e+00 2.331683338502e-16 5.007607009589e-17 6.725351377850e-18 + 2166 2.130956844009e-11 7.218089691926e-13 3.111045967549e-14 0.000000000000e+00 2.326838261047e-16 4.961675308803e-17 6.783208409517e-18 + 2167 2.119332017532e-11 7.261487810803e-13 3.225251770178e-14 0.000000000000e+00 2.322004751886e-16 4.915736275793e-17 6.839014640591e-18 + 2168 2.107757722793e-11 7.304896038179e-13 3.301132157392e-14 0.000000000000e+00 2.317182777712e-16 4.869810413297e-17 6.892758266885e-18 + 2169 2.096236533605e-11 7.348289983919e-13 3.338880655293e-14 0.000000000000e+00 2.312372304946e-16 4.823918299301e-17 6.944427456880e-18 + 2170 2.084771032764e-11 7.391645168223e-13 3.338691798239e-14 0.000000000000e+00 2.307573299740e-16 4.778080587131e-17 6.994010351697e-18 + 2171 2.073363812064e-11 7.434937021520e-13 3.300761130117e-14 0.000000000000e+00 2.302785727976e-16 4.732318005534e-17 7.041495065074e-18 + 2172 2.062017472304e-11 7.478140884365e-13 3.225285205620e-14 0.000000000000e+00 2.298009555263e-16 4.686651358773e-17 7.086869683338e-18 + 2173 2.050734623296e-11 7.521232007340e-13 3.112461591519e-14 0.000000000000e+00 2.293244746940e-16 4.641101526704e-17 7.130122265381e-18 + 2174 2.039517883881e-11 7.564185550945e-13 2.962488867941e-14 0.000000000000e+00 2.288491268073e-16 4.595689464868e-17 7.171240842638e-18 + 2175 2.028369881933e-11 7.606976585497e-13 2.775566629643e-14 0.000000000000e+00 2.283749083456e-16 4.550436204579e-17 7.210213419057e-18 + 2176 2.017293254374e-11 7.649580091031e-13 2.551895487286e-14 0.000000000000e+00 2.279018157612e-16 4.505362853005e-17 7.247027971074e-18 + 2177 2.006290647181e-11 7.691970957191e-13 2.291677068711e-14 0.000000000000e+00 2.274298454789e-16 4.460490593257e-17 7.281672447593e-18 + 2178 1.995364715398e-11 7.734123983128e-13 1.995114020211e-14 0.000000000000e+00 2.269589938962e-16 4.415840684479e-17 7.314134769956e-18 + 2179 1.984518123143e-11 7.776013877400e-13 1.662410007811e-14 0.000000000000e+00 2.264892573834e-16 4.371434461927e-17 7.344402831920e-18 + 2180 1.973753543624e-11 7.817615257867e-13 1.293769718538e-14 0.000000000000e+00 2.260206322831e-16 4.327293337064e-17 7.372464499629e-18 + 2181 1.963073659143e-11 7.858902651587e-13 8.893988616991e-15 0.000000000000e+00 2.255531149106e-16 4.283438797640e-17 7.398307611592e-18 + 2182 1.952480871828e-11 7.899852404338e-13 4.495646805645e-15 0.000000000000e+00 2.250867017781e-16 4.239888405697e-17 7.421931555834e-18 + 2183 1.941976433679e-11 7.940448423389e-13 -2.522207141720e-16 0.000000000000e+00 2.246213902691e-16 4.196643762062e-17 7.443382086279e-18 + 2184 1.931561310704e-11 7.980676473051e-13 -5.343878834059e-15 0.000000000000e+00 2.241571779684e-16 4.153702461279e-17 7.462716739903e-18 + 2185 1.921236471675e-11 8.020522268497e-13 -1.077356883931e-14 0.000000000000e+00 2.236940624382e-16 4.111062086348e-17 7.479993281027e-18 + 2186 1.911002888130e-11 8.059971475707e-13 -1.653550838092e-14 0.000000000000e+00 2.232320412180e-16 4.068720208710e-17 7.495269701587e-18 + 2187 1.900861534375e-11 8.099009711414e-13 -2.262389144759e-14 0.000000000000e+00 2.227711118245e-16 4.026674388233e-17 7.508604221403e-18 + 2188 1.890813387490e-11 8.137622543046e-13 -2.903288833774e-14 0.000000000000e+00 2.223112717517e-16 3.984922173198e-17 7.520055288440e-18 + 2189 1.880859427328e-11 8.175795488673e-13 -3.575664563151e-14 0.000000000000e+00 2.218525184708e-16 3.943461100284e-17 7.529681579076e-18 + 2190 1.871000636519e-11 8.213514016954e-13 -4.278928616277e-14 0.000000000000e+00 2.213948494302e-16 3.902288694554e-17 7.537541998373e-18 + 2191 1.861238000475e-11 8.250763547077e-13 -5.012490899114e-14 0.000000000000e+00 2.209382620554e-16 3.861402469441e-17 7.543695680338e-18 + 2192 1.851572507389e-11 8.287529448710e-13 -5.775758937396e-14 0.000000000000e+00 2.204827537491e-16 3.820799926731e-17 7.548201988191e-18 + 2193 1.842005148242e-11 8.323797041940e-13 -6.568137873834e-14 0.000000000000e+00 2.200283218908e-16 3.780478556555e-17 7.551120514633e-18 + 2194 1.832536916803e-11 8.359551597222e-13 -7.389030465315e-14 0.000000000000e+00 2.195749638374e-16 3.740435837366e-17 7.552511082112e-18 + 2195 1.823168809633e-11 8.394778335322e-13 -8.237837080101e-14 0.000000000000e+00 2.191226769227e-16 3.700669235933e-17 7.552433743086e-18 + 2196 1.813901826086e-11 8.429462427265e-13 -9.113955695033e-14 0.000000000000e+00 2.186714584574e-16 3.661176207322e-17 7.550948780297e-18 + 2197 1.804736968316e-11 8.463588994274e-13 -1.001678189273e-13 0.000000000000e+00 2.182213057291e-16 3.621954194881e-17 7.548116707030e-18 + 2198 1.795675241276e-11 8.497143107723e-13 -1.094570885879e-13 0.000000000000e+00 2.177722160026e-16 3.583000630228e-17 7.543998267382e-18 + 2199 1.786717652720e-11 8.530109789074e-13 -1.190012737898e-13 0.000000000000e+00 2.173241865193e-16 3.544312933237e-17 7.538654436531e-18 + 2200 1.777865213212e-11 8.562474009829e-13 -1.287942583647e-13 0.000000000000e+00 2.168772144976e-16 3.505888512022e-17 7.532146420998e-18 + 2201 1.769118936121e-11 8.594220691468e-13 -1.388299020899e-13 0.000000000000e+00 2.164312971325e-16 3.467724762923e-17 7.524535658918e-18 + 2202 1.760479837630e-11 8.625334705400e-13 -1.491020406606e-13 0.000000000000e+00 2.159864315962e-16 3.429819070491e-17 7.515883820303e-18 + 2203 1.751948936736e-11 8.655800872907e-13 -1.596044856619e-13 0.000000000000e+00 2.155426150373e-16 3.392168807477e-17 7.506252807309e-18 + 2204 1.743527255252e-11 8.685603965083e-13 -1.703310245405e-13 0.000000000000e+00 2.150998445812e-16 3.354771334813e-17 7.495704754507e-18 + 2205 1.735215817813e-11 8.714728702790e-13 -1.812754205772e-13 0.000000000000e+00 2.146581173301e-16 3.317624001601e-17 7.484302029141e-18 + 2206 1.727015651875e-11 8.743159756590e-13 -1.924314128585e-13 0.000000000000e+00 2.142174303627e-16 3.280724145097e-17 7.472107231402e-18 + 2207 1.718927787722e-11 8.770881746702e-13 -2.037927162488e-13 0.000000000000e+00 2.137777807346e-16 3.244069090698e-17 7.459183194692e-18 + 2208 1.710953258464e-11 8.797879242937e-13 -2.153530213622e-13 0.000000000000e+00 2.133391654776e-16 3.207656151926e-17 7.445592985888e-18 + 2209 1.703093100046e-11 8.824136764652e-13 -2.271059945350e-13 0.000000000000e+00 2.129015816003e-16 3.171482630416e-17 7.431399905613e-18 + 2210 1.695348351243e-11 8.849638780688e-13 -2.390452777971e-13 0.000000000000e+00 2.124650260879e-16 3.135545815898e-17 7.416667488500e-18 + 2211 1.687720053671e-11 8.874369709317e-13 -2.511644888443e-13 0.000000000000e+00 2.120294959019e-16 3.099842986187e-17 7.401459503456e-18 + 2212 1.680209251785e-11 8.898313918189e-13 -2.634572210105e-13 0.000000000000e+00 2.115949879803e-16 3.064371407166e-17 7.385839953934e-18 + 2213 1.672816992882e-11 8.921455724275e-13 -2.759170432392e-13 0.000000000000e+00 2.111614992378e-16 3.029128332771e-17 7.369873078196e-18 + 2214 1.665544327104e-11 8.943779393812e-13 -2.885375000561e-13 0.000000000000e+00 2.107290265651e-16 2.994111004980e-17 7.353623349579e-18 + 2215 1.658392307445e-11 8.965269142249e-13 -3.013121115405e-13 0.000000000000e+00 2.102975668294e-16 2.959316653795e-17 7.337155476764e-18 + 2216 1.651361989746e-11 8.985909134192e-13 -3.142343732978e-13 0.000000000000e+00 2.098671168745e-16 2.924742497230e-17 7.320534404040e-18 + 2217 1.644454432707e-11 9.005683483347e-13 -3.272977564314e-13 0.000000000000e+00 2.094376735201e-16 2.890385741295e-17 7.303825311571e-18 + 2218 1.637670697880e-11 9.024576252467e-13 -3.404957075144e-13 0.000000000000e+00 2.090092335625e-16 2.856243579983e-17 7.287093615666e-18 + 2219 1.631011849680e-11 9.042571453297e-13 -3.538216485620e-13 0.000000000000e+00 2.085817937739e-16 2.822313195256e-17 7.270404969038e-18 + 2220 1.624478955386e-11 9.059653046517e-13 -3.672689770035e-13 0.000000000000e+00 2.081553509031e-16 2.788591757029e-17 7.253825261079e-18 + 2221 1.618072795542e-11 9.075807625327e-13 -3.808311714279e-13 0.000000000000e+00 2.077299018690e-16 2.755077396742e-17 7.237410630842e-18 + 2222 1.611792993088e-11 9.091032485629e-13 -3.945021096417e-13 0.000000000000e+00 2.073054443456e-16 2.721772135113e-17 7.221177433528e-18 + 2223 1.605638878495e-11 9.105327608929e-13 -4.082757526517e-13 0.000000000000e+00 2.068819761810e-16 2.688678973652e-17 7.205132076569e-18 + 2224 1.599609778841e-11 9.118692983537e-13 -4.221460390568e-13 0.000000000000e+00 2.064594952034e-16 2.655800922841e-17 7.189280988952e-18 + 2225 1.593705017807e-11 9.131128604582e-13 -4.361068850216e-13 0.000000000000e+00 2.060379992216e-16 2.623141002144e-17 7.173630621247e-18 + 2226 1.587923915669e-11 9.142634474017e-13 -4.501521842515e-13 0.000000000000e+00 2.056174860245e-16 2.590702240011e-17 7.158187445625e-18 + 2227 1.582265789295e-11 9.153210600634e-13 -4.642758079675e-13 0.000000000000e+00 2.051979533810e-16 2.558487673893e-17 7.142957955889e-18 + 2228 1.576729952145e-11 9.162857000070e-13 -4.784716048800e-13 0.000000000000e+00 2.047793990405e-16 2.526500350248e-17 7.127948667490e-18 + 2229 1.571315714261e-11 9.171573694822e-13 -4.927334011643e-13 0.000000000000e+00 2.043618207323e-16 2.494743324552e-17 7.113166117555e-18 + 2230 1.566022382267e-11 9.179360714251e-13 -5.070550004344e-13 0.000000000000e+00 2.039452161658e-16 2.463219661307e-17 7.098616864913e-18 + 2231 1.560849259361e-11 9.186218094600e-13 -5.214301837180e-13 0.000000000000e+00 2.035295830308e-16 2.431932434052e-17 7.084307490110e-18 + 2232 1.555795645316e-11 9.192145878997e-13 -5.358527094311e-13 0.000000000000e+00 2.031149189968e-16 2.400884725370e-17 7.070244595442e-18 + 2233 1.550860836470e-11 9.197144117468e-13 -5.503163133524e-13 0.000000000000e+00 2.027012217135e-16 2.370079626901e-17 7.056434804973e-18 + 2234 1.546044125727e-11 9.201212866950e-13 -5.648147085979e-13 0.000000000000e+00 2.022884888106e-16 2.339520239347e-17 7.042884764561e-18 + 2235 1.541344802548e-11 9.204352191297e-13 -5.793415855955e-13 0.000000000000e+00 2.018767178976e-16 2.309209672484e-17 7.029601141880e-18 + 2236 1.536762152951e-11 9.206562161292e-13 -5.938906120598e-13 0.000000000000e+00 2.014659065644e-16 2.279151045172e-17 7.016590626446e-18 + 2237 1.532295459504e-11 9.207842854658e-13 -6.084554329663e-13 0.000000000000e+00 2.010560523802e-16 2.249347485361e-17 7.003859929639e-18 + 2238 1.527944001322e-11 9.208194356067e-13 -6.230296705263e-13 0.000000000000e+00 2.006471528947e-16 2.219802130104e-17 6.991415784725e-18 + 2239 1.523707054064e-11 9.207616757151e-13 -6.376069241611e-13 0.000000000000e+00 2.002392056370e-16 2.190518125564e-17 6.979264946883e-18 + 2240 1.519583889925e-11 9.206110156511e-13 -6.521807704770e-13 0.000000000000e+00 1.998322081163e-16 2.161498627025e-17 6.967414193228e-18 + 2241 1.515573777636e-11 9.203674659729e-13 -6.667447632399e-13 0.000000000000e+00 1.994261578215e-16 2.132746798899e-17 6.955870322831e-18 + 2242 1.511675982457e-11 9.200310379377e-13 -6.812924333492e-13 0.000000000000e+00 1.990210522213e-16 2.104265814738e-17 6.944640156748e-18 + 2243 1.507889766174e-11 9.196017435030e-13 -6.958172888133e-13 0.000000000000e+00 1.986168887642e-16 2.076058857243e-17 6.933730538040e-18 + 2244 1.504214387095e-11 9.190795953269e-13 -7.103128147236e-13 0.000000000000e+00 1.982136648784e-16 2.048129118269e-17 6.923148331796e-18 + 2245 1.500649100046e-11 9.184646067701e-13 -7.247724732290e-13 0.000000000000e+00 1.978113779719e-16 2.020479798842e-17 6.912900425162e-18 + 2246 1.497193156364e-11 9.177567918962e-13 -7.391897035110e-13 0.000000000000e+00 1.974100254321e-16 1.993114109162e-17 6.902993727357e-18 + 2247 1.493845803898e-11 9.169561654730e-13 -7.535579217579e-13 0.000000000000e+00 1.970096046263e-16 1.966035268614e-17 6.893435169703e-18 + 2248 1.490606287000e-11 9.160627429734e-13 -7.678705211394e-13 0.000000000000e+00 1.966101129013e-16 1.939246505780e-17 6.884231705645e-18 + 2249 1.487473846522e-11 9.150765405767e-13 -7.821208717811e-13 0.000000000000e+00 1.962115475836e-16 1.912751058443e-17 6.875390310777e-18 + 2250 1.484447719814e-11 9.139975751693e-13 -7.963023207396e-13 0.000000000000e+00 1.958139059791e-16 1.886552173602e-17 6.866917982863e-18 + 2251 1.481527140717e-11 9.128258643459e-13 -8.104081919763e-13 0.000000000000e+00 1.954171853734e-16 1.860653107478e-17 6.858821741862e-18 + 2252 1.478711339562e-11 9.115614264105e-13 -8.244317863326e-13 0.000000000000e+00 1.950213830315e-16 1.835057125525e-17 6.851108629953e-18 + 2253 1.475999543161e-11 9.102042803772e-13 -8.383663815042e-13 0.000000000000e+00 1.946264961978e-16 1.809767502437e-17 6.843785711557e-18 + 2254 1.473390974807e-11 9.087544459718e-13 -8.522052320156e-13 0.000000000000e+00 1.942325220964e-16 1.784787522161e-17 6.836860073360e-18 + 2255 1.470884854270e-11 9.072119436322e-13 -8.659415691951e-13 0.000000000000e+00 1.938394579307e-16 1.760120477901e-17 6.830338824338e-18 + 2256 1.468480397789e-11 9.055767945097e-13 -8.795686011488e-13 0.000000000000e+00 1.934473008833e-16 1.735769672134e-17 6.824229095781e-18 + 2257 1.466176818071e-11 9.038490204701e-13 -8.930795127355e-13 0.000000000000e+00 1.930560481165e-16 1.711738416614e-17 6.818538041315e-18 + 2258 1.463973324284e-11 9.020286440945e-13 -9.064674655415e-13 0.000000000000e+00 1.926656967718e-16 1.688030032383e-17 6.813272836926e-18 + 2259 1.461869122059e-11 9.001156886805e-13 -9.197255978547e-13 0.000000000000e+00 1.922762439699e-16 1.664647849781e-17 6.808440680985e-18 + 2260 1.459863275219e-11 8.981103688931e-13 -9.328476533556e-13 0.000000000000e+00 1.918876869798e-16 1.641594381493e-17 6.804037428527e-18 + 2261 1.457954290029e-11 8.960136640650e-13 -9.458298716914e-13 0.000000000000e+00 1.915000237262e-16 1.618868835809e-17 6.800013413580e-18 + 2262 1.456140528248e-11 8.938267486120e-13 -9.586691100981e-13 0.000000000000e+00 1.911132522852e-16 1.596469587272e-17 6.796307405481e-18 + 2263 1.454420345137e-11 8.915508017259e-13 -9.713622157858e-13 0.000000000000e+00 1.907273707158e-16 1.574395002172e-17 6.792857954278e-18 + 2264 1.452792089448e-11 8.891870073802e-13 -9.839060259280e-13 0.000000000000e+00 1.903423770596e-16 1.552643438530e-17 6.789603390482e-18 + 2265 1.451254103421e-11 8.867365543352e-13 -9.962973676511e-13 0.000000000000e+00 1.899582693411e-16 1.531213246092e-17 6.786481824829e-18 + 2266 1.449804722775e-11 8.842006361439e-13 -1.008533058023e-12 0.000000000000e+00 1.895750455675e-16 1.510102766316e-17 6.783431148032e-18 + 2267 1.448442276698e-11 8.815804511572e-13 -1.020609904045e-12 0.000000000000e+00 1.891927037285e-16 1.489310332366e-17 6.780389030539e-18 + 2268 1.447165087844e-11 8.788772025295e-13 -1.032524702636e-12 0.000000000000e+00 1.888112417967e-16 1.468834269098e-17 6.777292922292e-18 + 2269 1.445971472321e-11 8.760920982243e-13 -1.044274240627e-12 0.000000000000e+00 1.884306577273e-16 1.448672893051e-17 6.774080052480e-18 + 2270 1.444859739686e-11 8.732263510195e-13 -1.055855294750e-12 0.000000000000e+00 1.880509494581e-16 1.428824512439e-17 6.770687429298e-18 + 2271 1.443828192940e-11 8.702811785133e-13 -1.067264631622e-12 0.000000000000e+00 1.876721149096e-16 1.409287427138e-17 6.767051839706e-18 + 2272 1.442875128514e-11 8.672578031291e-13 -1.078499007742e-12 0.000000000000e+00 1.872941519846e-16 1.390059928678e-17 6.763109849179e-18 + 2273 1.441998836268e-11 8.641574521215e-13 -1.089555169473e-12 0.000000000000e+00 1.869170585687e-16 1.371140300230e-17 6.758797801471e-18 + 2274 1.441197599481e-11 8.609813575815e-13 -1.100429853038e-12 0.000000000000e+00 1.865408325301e-16 1.352526816601e-17 6.754051818367e-18 + 2275 1.440469694841e-11 8.577307564424e-13 -1.111119784505e-12 0.000000000000e+00 1.861654717194e-16 1.334217744219e-17 6.748807799442e-18 + 2276 1.439813392444e-11 8.544068904847e-13 -1.121621679776e-12 0.000000000000e+00 1.857909739695e-16 1.316211341125e-17 6.743001421817e-18 + 2277 1.439226955779e-11 8.510110063420e-13 -1.131932244581e-12 0.000000000000e+00 1.854173370961e-16 1.298505856963e-17 6.736568139914e-18 + 2278 1.438708641726e-11 8.475443555067e-13 -1.142048174461e-12 0.000000000000e+00 1.850445588971e-16 1.281099532970e-17 6.729443185216e-18 + 2279 1.438256700546e-11 8.440081943349e-13 -1.151966154763e-12 0.000000000000e+00 1.846726371529e-16 1.263990601966e-17 6.721561566023e-18 + 2280 1.437869375876e-11 8.404037840523e-13 -1.161682860626e-12 0.000000000000e+00 1.843015696264e-16 1.247177288342e-17 6.712858067206e-18 + 2281 1.437544904718e-11 8.367323907599e-13 -1.171194956972e-12 0.000000000000e+00 1.839313540626e-16 1.230657808052e-17 6.703267249967e-18 + 2282 1.437281517433e-11 8.329952854388e-13 -1.180499098492e-12 0.000000000000e+00 1.835619881890e-16 1.214430368604e-17 6.692723451592e-18 + 2283 1.437077437737e-11 8.291937439566e-13 -1.189591929642e-12 0.000000000000e+00 1.831934697156e-16 1.198493169045e-17 6.681160785213e-18 + 2284 1.436930882686e-11 8.253290470720e-13 -1.198470084624e-12 0.000000000000e+00 1.828257963343e-16 1.182844399958e-17 6.668513139559e-18 + 2285 1.436840062678e-11 8.214024804411e-13 -1.207130187384e-12 0.000000000000e+00 1.824589657196e-16 1.167482243444e-17 6.654714178719e-18 + 2286 1.436803181437e-11 8.174153346223e-13 -1.215568851594e-12 0.000000000000e+00 1.820929755281e-16 1.152404873121e-17 6.639697341890e-18 + 2287 1.436818436011e-11 8.133689050821e-13 -1.223782680644e-12 0.000000000000e+00 1.817278233987e-16 1.137610454104e-17 6.623395843144e-18 + 2288 1.436884016761e-11 8.092644922006e-13 -1.231768267634e-12 0.000000000000e+00 1.813635069525e-16 1.123097143002e-17 6.605742671177e-18 + 2289 1.436998107358e-11 8.051034012769e-13 -1.239522195360e-12 0.000000000000e+00 1.810000237926e-16 1.108863087907e-17 6.586670589067e-18 + 2290 1.437158884770e-11 8.008869425346e-13 -1.247041036304e-12 0.000000000000e+00 1.806373715045e-16 1.094906428381e-17 6.566112134036e-18 + 2291 1.437364519259e-11 7.966164311275e-13 -1.254321352624e-12 0.000000000000e+00 1.802755476557e-16 1.081225295448e-17 6.543999617200e-18 + 2292 1.437613174373e-11 7.922931871448e-13 -1.261359696142e-12 0.000000000000e+00 1.799145497958e-16 1.067817811583e-17 6.520265123328e-18 + 2293 1.437903006935e-11 7.879185356168e-13 -1.268152608337e-12 0.000000000000e+00 1.795543754566e-16 1.054682090704e-17 6.494840510600e-18 + 2294 1.438232167039e-11 7.834938065203e-13 -1.274696620328e-12 0.000000000000e+00 1.791950221517e-16 1.041816238160e-17 6.467657410364e-18 + 2295 1.438598798043e-11 7.790203347842e-13 -1.280988252871e-12 0.000000000000e+00 1.788364873772e-16 1.029218350719e-17 6.438647226891e-18 + 2296 1.439001036559e-11 7.744994602950e-13 -1.287024016342e-12 0.000000000000e+00 1.784787686106e-16 1.016886516564e-17 6.407741137131e-18 + 2297 1.439437012446e-11 7.699325279020e-13 -1.292800410729e-12 0.000000000000e+00 1.781218633120e-16 1.004818815275e-17 6.374870090473e-18 + 2298 1.439904848805e-11 7.653208874235e-13 -1.298313925623e-12 0.000000000000e+00 1.777657689230e-16 9.930133178266e-18 6.339964808498e-18 + 2299 1.440402717875e-11 7.606659222714e-13 -1.303561772807e-12 0.000000000000e+00 1.774104830149e-16 9.814685681294e-18 6.302976071264e-18 + 2300 1.440929009133e-11 7.559691355166e-13 -1.308544089167e-12 0.000000000000e+00 1.770560037319e-16 9.701850310445e-18 6.263935717814e-18 + 2301 1.441482162253e-11 7.512320643831e-13 -1.313261747789e-12 0.000000000000e+00 1.767023293507e-16 9.591636535723e-18 6.222896033648e-18 + 2302 1.442060611286e-11 7.464562516837e-13 -1.317715626641e-12 0.000000000000e+00 1.763494581327e-16 9.484053841333e-18 6.179909499686e-18 + 2303 1.442662784658e-11 7.416432458267e-13 -1.321906608568e-12 0.000000000000e+00 1.759973883242e-16 9.379111725693e-18 6.135028792485e-18 + 2304 1.443287105161e-11 7.367946008213e-13 -1.325835581311e-12 0.000000000000e+00 1.756461181568e-16 9.276819701438e-18 6.088306784455e-18 + 2305 1.443931989948e-11 7.319118762846e-13 -1.329503437502e-12 0.000000000000e+00 1.752956458465e-16 9.177187295433e-18 6.039796544080e-18 + 2306 1.444595850529e-11 7.269966374470e-13 -1.332911074677e-12 0.000000000000e+00 1.749459695945e-16 9.080224048779e-18 5.989551336131e-18 + 2307 1.445277092759e-11 7.220504551588e-13 -1.336059395278e-12 0.000000000000e+00 1.745970875868e-16 8.985939516822e-18 5.937624621886e-18 + 2308 1.445974116840e-11 7.170749058963e-13 -1.338949306661e-12 0.000000000000e+00 1.742489979940e-16 8.894343269163e-18 5.884070059344e-18 + 2309 1.446685317305e-11 7.120715717675e-13 -1.341581721101e-12 0.000000000000e+00 1.739016989720e-16 8.805444889664e-18 5.828941503448e-18 + 2310 1.447409083023e-11 7.070420405191e-13 -1.343957555799e-12 0.000000000000e+00 1.735551886609e-16 8.719253976455e-18 5.772293006293e-18 + 2311 1.448143797182e-11 7.019879055419e-13 -1.346077732887e-12 0.000000000000e+00 1.732094651861e-16 8.635780141950e-18 5.714178817352e-18 + 2312 1.448887837290e-11 6.969107658773e-13 -1.347943179433e-12 0.000000000000e+00 1.728645266573e-16 8.555033012847e-18 5.654653383688e-18 + 2313 1.449639575167e-11 6.918122262232e-13 -1.349554827450e-12 0.000000000000e+00 1.725203711693e-16 8.477022230140e-18 5.593771350172e-18 + 2314 1.450397376938e-11 6.866938969406e-13 -1.350913613900e-12 0.000000000000e+00 1.721769968015e-16 8.401757449128e-18 5.531587559702e-18 + 2315 1.451159603026e-11 6.815573940593e-13 -1.352020480700e-12 0.000000000000e+00 1.718344016177e-16 8.329248339425e-18 5.468157053417e-18 + 2316 1.451924608149e-11 6.764043392842e-13 -1.352876374727e-12 0.000000000000e+00 1.714925836669e-16 8.259504584962e-18 5.403535070917e-18 + 2317 1.452690741310e-11 6.712363600015e-13 -1.353482247826e-12 0.000000000000e+00 1.711515409823e-16 8.192535884002e-18 5.337777050478e-18 + 2318 1.453456345795e-11 6.660550892850e-13 -1.353839056816e-12 0.000000000000e+00 1.708112715820e-16 8.128351949148e-18 5.270938629270e-18 + 2319 1.454219759163e-11 6.608621659018e-13 -1.353947763493e-12 0.000000000000e+00 1.704717734685e-16 8.066962507347e-18 5.203075643575e-18 + 2320 1.454979313241e-11 6.556592343190e-13 -1.353809334640e-12 0.000000000000e+00 1.701330446291e-16 8.008377299902e-18 5.134244129002e-18 + 2321 1.455733334120e-11 6.504479447092e-13 -1.353424742030e-12 0.000000000000e+00 1.697950830355e-16 7.952606082481e-18 5.064500320707e-18 + 2322 1.456480142146e-11 6.452299529574e-13 -1.352794962433e-12 0.000000000000e+00 1.694578866440e-16 7.899658625122e-18 4.993900653606e-18 + 2323 1.457218051913e-11 6.400069206665e-13 -1.351920977623e-12 0.000000000000e+00 1.691214533955e-16 7.849544712245e-18 4.922501762597e-18 + 2324 1.457945372263e-11 6.347805151641e-13 -1.350803774381e-12 0.000000000000e+00 1.687857812152e-16 7.802274142659e-18 4.850360482771e-18 + 2325 1.458660406271e-11 6.295524095078e-13 -1.349444344504e-12 0.000000000000e+00 1.684508680131e-16 7.757856729569e-18 4.777533849638e-18 + 2326 1.459361451246e-11 6.243242824921e-13 -1.347843684810e-12 0.000000000000e+00 1.681167116835e-16 7.716302300589e-18 4.704079099334e-18 + 2327 1.460046798721e-11 6.190978186544e-13 -1.346002797143e-12 0.000000000000e+00 1.677833101050e-16 7.677620697745e-18 4.630053668844e-18 + 2328 1.460714734449e-11 6.138747082807e-13 -1.343922688381e-12 0.000000000000e+00 1.674506611409e-16 7.641821777486e-18 4.555515196221e-18 + 2329 1.461363538396e-11 6.086566474123e-13 -1.341604370440e-12 0.000000000000e+00 1.671187626387e-16 7.608915410695e-18 4.480521520797e-18 + 2330 1.461991484732e-11 6.034453378517e-13 -1.339048860280e-12 0.000000000000e+00 1.667876124304e-16 7.578911482691e-18 4.405130683403e-18 + 2331 1.462596841831e-11 5.982424871688e-13 -1.336257179913e-12 0.000000000000e+00 1.664572083323e-16 7.551819893245e-18 4.329400926589e-18 + 2332 1.463177872258e-11 5.930498087070e-13 -1.333230356408e-12 0.000000000000e+00 1.661275481451e-16 7.527650556583e-18 4.253390694835e-18 + 2333 1.463732832769e-11 5.878690215893e-13 -1.329969421895e-12 0.000000000000e+00 1.657986296538e-16 7.506413401395e-18 4.177158634775e-18 + 2334 1.464259974300e-11 5.827018507246e-13 -1.326475413573e-12 0.000000000000e+00 1.654704506276e-16 7.488118370848e-18 4.100763595409e-18 + 2335 1.464757541963e-11 5.775500268139e-13 -1.322749373717e-12 0.000000000000e+00 1.651430088203e-16 7.472775422589e-18 4.024264628321e-18 + 2336 1.465223775040e-11 5.724152863562e-13 -1.318792349680e-12 0.000000000000e+00 1.648163019695e-16 7.460394528757e-18 3.947720987898e-18 + 2337 1.465656906977e-11 5.672993716548e-13 -1.314605393905e-12 0.000000000000e+00 1.644903277974e-16 7.450985675988e-18 3.871192131545e-18 + 2338 1.466055348338e-11 5.622039107861e-13 -1.310189992320e-12 0.000000000000e+00 1.641650841396e-16 7.444551449010e-18 3.794734514974e-18 + 2339 1.466418236938e-11 5.571300566715e-13 -1.305549352467e-12 0.000000000000e+00 1.638405693334e-16 7.441064730637e-18 3.718391955688e-18 + 2340 1.466744891144e-11 5.520788457579e-13 -1.300687123455e-12 0.000000000000e+00 1.635167818322e-16 7.440490862146e-18 3.642205209586e-18 + 2341 1.467034627223e-11 5.470513178525e-13 -1.295606968312e-12 0.000000000000e+00 1.631937200762e-16 7.442795046853e-18 3.566215170557e-18 + 2342 1.467286759342e-11 5.420485161273e-13 -1.290312563998e-12 0.000000000000e+00 1.628713824923e-16 7.447942349968e-18 3.490462870624e-18 + 2343 1.467500599563e-11 5.370714871217e-13 -1.284807601426e-12 0.000000000000e+00 1.625497674942e-16 7.455897698431e-18 3.414989480098e-18 + 2344 1.467675457843e-11 5.321212807467e-13 -1.279095785469e-12 0.000000000000e+00 1.622288734823e-16 7.466625880767e-18 3.339836307719e-18 + 2345 1.467810642028e-11 5.271989502880e-13 -1.273180834985e-12 0.000000000000e+00 1.619086988439e-16 7.480091546925e-18 3.265044800805e-18 + 2346 1.467905457859e-11 5.223055524098e-13 -1.267066482824e-12 0.000000000000e+00 1.615892419529e-16 7.496259208126e-18 3.190656545397e-18 + 2347 1.467959208959e-11 5.174421471580e-13 -1.260756475849e-12 0.000000000000e+00 1.612705011701e-16 7.515093236708e-18 3.116713266409e-18 + 2348 1.467971196841e-11 5.126097979642e-13 -1.254254574948e-12 0.000000000000e+00 1.609524748427e-16 7.536557865976e-18 3.043256827773e-18 + 2349 1.467940720899e-11 5.078095716486e-13 -1.247564555051e-12 0.000000000000e+00 1.606351613049e-16 7.560617190041e-18 2.970329232585e-18 + 2350 1.467867078409e-11 5.030425384240e-13 -1.240690205146e-12 0.000000000000e+00 1.603185588773e-16 7.587235163670e-18 2.897972623251e-18 + 2351 1.467749564524e-11 4.983097718992e-13 -1.233635328291e-12 0.000000000000e+00 1.600026658673e-16 7.616375602131e-18 2.826229281638e-18 + 2352 1.467587472277e-11 4.936123490823e-13 -1.226403741635e-12 0.000000000000e+00 1.596874805689e-16 7.648002181037e-18 2.755141629217e-18 + 2353 1.467380092573e-11 4.889513503847e-13 -1.218999276427e-12 0.000000000000e+00 1.593730012626e-16 7.682078436195e-18 2.684752227210e-18 + 2354 1.467126714192e-11 4.843278596239e-13 -1.211425778037e-12 0.000000000000e+00 1.590592262156e-16 7.718567763449e-18 2.615103776738e-18 + 2355 1.466826623781e-11 4.797429640276e-13 -1.203687105966e-12 0.000000000000e+00 1.587461536816e-16 7.757433418527e-18 2.546239118969e-18 + 2356 1.466479105857e-11 4.751977542372e-13 -1.195787133868e-12 0.000000000000e+00 1.584337819011e-16 7.798638516885e-18 2.478201235260e-18 + 2357 1.466083442805e-11 4.706933243109e-13 -1.187729749558e-12 0.000000000000e+00 1.581221091007e-16 7.842146033556e-18 2.411033247309e-18 + 2358 1.465638914871e-11 4.662307717276e-13 -1.179518855033e-12 0.000000000000e+00 1.578111334938e-16 7.887918802993e-18 2.344778417301e-18 + 2359 1.465144800162e-11 4.618111973903e-13 -1.171158366485e-12 0.000000000000e+00 1.575008532804e-16 7.935919518915e-18 2.279480148050e-18 + 2360 1.464600374649e-11 4.574357056295e-13 -1.162652214317e-12 0.000000000000e+00 1.571912666467e-16 7.986110734154e-18 2.215181983152e-18 + 2361 1.464004912155e-11 4.531054042069e-13 -1.154004343157e-12 0.000000000000e+00 1.568823717656e-16 8.038454860500e-18 2.151927607128e-18 + 2362 1.463357684361e-11 4.488214043188e-13 -1.145218711875e-12 0.000000000000e+00 1.565741667964e-16 8.092914168544e-18 2.089760845572e-18 + 2363 1.462657960802e-11 4.445848205997e-13 -1.136299293599e-12 0.000000000000e+00 1.562666498847e-16 8.149450787532e-18 2.028725665298e-18 + 2364 1.461905008862e-11 4.403967711258e-13 -1.127250075727e-12 0.000000000000e+00 1.559598191627e-16 8.208026705200e-18 1.968866174486e-18 + 2365 1.461098093774e-11 4.362583774183e-13 -1.118075059945e-12 0.000000000000e+00 1.556536727488e-16 8.268603767626e-18 1.910226622828e-18 + 2366 1.460236478617e-11 4.321707644473e-13 -1.108778262245e-12 0.000000000000e+00 1.553482087480e-16 8.331143679078e-18 1.852851401679e-18 + 2367 1.459319424318e-11 4.281350606351e-13 -1.099363712933e-12 0.000000000000e+00 1.550434252515e-16 8.395608001851e-18 1.796785044197e-18 + 2368 1.458346189641e-11 4.241523978596e-13 -1.089835456651e-12 0.000000000000e+00 1.547393203370e-16 8.461958156122e-18 1.742072225496e-18 + 2369 1.457316031193e-11 4.202239114580e-13 -1.080197552390e-12 0.000000000000e+00 1.544358920683e-16 8.530155419791e-18 1.688757762789e-18 + 2370 1.456228203420e-11 4.163507402304e-13 -1.070454073505e-12 0.000000000000e+00 1.541331384956e-16 8.600160928326e-18 1.636886615537e-18 + 2371 1.455081958600e-11 4.125340264430e-13 -1.060609107731e-12 0.000000000000e+00 1.538310576556e-16 8.671935674612e-18 1.586503885594e-18 + 2372 1.453876546849e-11 4.087749158320e-13 -1.050666757197e-12 0.000000000000e+00 1.535296475711e-16 8.745440508794e-18 1.537654817355e-18 + 2373 1.452611216111e-11 4.050745576067e-13 -1.040631138445e-12 0.000000000000e+00 1.532289062510e-16 8.820636138125e-18 1.490384797902e-18 + 2374 1.451285212161e-11 4.014341044534e-13 -1.030506382440e-12 0.000000000000e+00 1.529288316907e-16 8.897483126807e-18 1.444739357153e-18 + 2375 1.449897778600e-11 3.978547125387e-13 -1.020296634591e-12 0.000000000000e+00 1.526294218718e-16 8.975941895845e-18 1.400764168003e-18 + 2376 1.448448156856e-11 3.943375415130e-13 -1.010006054761e-12 0.000000000000e+00 1.523306747619e-16 9.055972722885e-18 1.358505046479e-18 + 2377 1.446935774884e-11 3.908835746538e-13 -9.996387776941e-13 0.000000000000e+00 1.520325884287e-16 9.137542293944e-18 1.317986959471e-18 + 2378 1.445360814555e-11 3.874930780769e-13 -9.891987939828e-13 0.000000000000e+00 1.517351613818e-16 9.220643403011e-18 1.279150906357e-18 + 2379 1.443723647759e-11 3.841661382010e-13 -9.786900683956e-13 0.000000000000e+00 1.514383922326e-16 9.305275373481e-18 1.241916648888e-18 + 2380 1.442024648021e-11 3.809028413054e-13 -9.681165794190e-13 0.000000000000e+00 1.511422795810e-16 9.391437517273e-18 1.206203667997e-18 + 2381 1.440264190498e-11 3.777032735297e-13 -9.574823192710e-13 0.000000000000e+00 1.508468220154e-16 9.479129134821e-18 1.171931163496e-18 + 2382 1.438442651983e-11 3.745675208735e-13 -9.467912939165e-13 0.000000000000e+00 1.505520181126e-16 9.568349515056e-18 1.139018053781e-18 + 2383 1.436560410909e-11 3.714956691959e-13 -9.360475230812e-13 0.000000000000e+00 1.502578664377e-16 9.659097935387e-18 1.107382975531e-18 + 2384 1.434617847348e-11 3.684878042156e-13 -9.252550402662e-13 0.000000000000e+00 1.499643655442e-16 9.751373661694e-18 1.076944283412e-18 + 2385 1.432615343014e-11 3.655440115101e-13 -9.144178927629e-13 0.000000000000e+00 1.496715139741e-16 9.845175948305e-18 1.047620049771e-18 + 2386 1.430553281264e-11 3.626643765160e-13 -9.035401416672e-13 0.000000000000e+00 1.493793102574e-16 9.940504037986e-18 1.019328064348e-18 + 2387 1.428432047101e-11 3.598489845280e-13 -8.926258618941e-13 0.000000000000e+00 1.490877529129e-16 1.003735716192e-17 9.919858339652e-19 + 2388 1.426252027175e-11 3.570979206992e-13 -8.816791421925e-13 0.000000000000e+00 1.487968404473e-16 1.013573453970e-17 9.655105822381e-19 + 2389 1.424013609786e-11 3.544112700405e-13 -8.707040851591e-13 0.000000000000e+00 1.485065713559e-16 1.023563537931e-17 9.398192492710e-19 + 2390 1.421717184883e-11 3.517891174204e-13 -8.597048072535e-13 0.000000000000e+00 1.482169441220e-16 1.033705887711e-17 9.148284913595e-19 + 2391 1.419363144071e-11 3.492315475644e-13 -8.486854388127e-13 0.000000000000e+00 1.479279572175e-16 1.044000421781e-17 8.904546806923e-19 + 2392 1.416951880607e-11 3.467386450553e-13 -8.376501240652e-13 0.000000000000e+00 1.476396091022e-16 1.054447057448e-17 8.666139050513e-19 + 2393 1.414483789405e-11 3.443104943324e-13 -8.266030211460e-13 0.000000000000e+00 1.473518982244e-16 1.065045710850e-17 8.432219675133e-19 + 2394 1.411959267039e-11 3.419471796913e-13 -8.155483021109e-13 0.000000000000e+00 1.470648230206e-16 1.075796296959e-17 8.201943861513e-19 + 2395 1.409378711742e-11 3.396487852837e-13 -8.044901529511e-13 0.000000000000e+00 1.467783819153e-16 1.086698729575e-17 7.974463937349e-19 + 2396 1.406742523408e-11 3.374153951170e-13 -7.934327736075e-13 0.000000000000e+00 1.464925733215e-16 1.097752921327e-17 7.748929374320e-19 + 2397 1.404051103597e-11 3.352470930541e-13 -7.823803779856e-13 0.000000000000e+00 1.462073956402e-16 1.108958783671e-17 7.524486785100e-19 + 2398 1.401304855535e-11 3.331439628131e-13 -7.713371939699e-13 0.000000000000e+00 1.459228472605e-16 1.120316226889e-17 7.300279920362e-19 + 2399 1.398504184112e-11 3.311060879668e-13 -7.603074634382e-13 0.000000000000e+00 1.456389265598e-16 1.131825160085e-17 7.075449665798e-19 + 2400 1.395649495892e-11 3.291335519426e-13 -7.492954422765e-13 0.000000000000e+00 1.453556319035e-16 1.143485491188e-17 6.849134039124e-19 + 2401 1.392741199108e-11 3.272264380221e-13 -7.383054003933e-13 0.000000000000e+00 1.450729616452e-16 1.155297126945e-17 6.620468187095e-19 + 2402 1.389779703665e-11 3.253848293409e-13 -7.273416217342e-13 0.000000000000e+00 1.447909141267e-16 1.167259972924e-17 6.388584382512e-19 + 2403 1.386765421146e-11 3.236088088883e-13 -7.164084042961e-13 0.000000000000e+00 1.445094876776e-16 1.179373933511e-17 6.152612021238e-19 + 2404 1.383698764809e-11 3.218984595067e-13 -7.055100601426e-13 0.000000000000e+00 1.442286806159e-16 1.191638911908e-17 5.911677619206e-19 + 2405 1.380580149591e-11 3.202538638917e-13 -6.946509154174e-13 0.000000000000e+00 1.439484912474e-16 1.204054810131e-17 5.664904809431e-19 + 2406 1.377409992109e-11 3.186751045915e-13 -6.838353103597e-13 0.000000000000e+00 1.436689178662e-16 1.216621529010e-17 5.411414339021e-19 + 2407 1.374188710664e-11 3.171622640071e-13 -6.730675993185e-13 0.000000000000e+00 1.433899587541e-16 1.229338968186e-17 5.150324066188e-19 + 2408 1.370916725238e-11 3.157154243910e-13 -6.623521507668e-13 0.000000000000e+00 1.431116121812e-16 1.242207026111e-17 4.880748957262e-19 + 2409 1.367594457504e-11 3.143346678481e-13 -6.516933473166e-13 0.000000000000e+00 1.428338764054e-16 1.255225600046e-17 4.601801083696e-19 + 2410 1.364222330817e-11 3.130200763345e-13 -6.410955857330e-13 0.000000000000e+00 1.425567496728e-16 1.268394586058e-17 4.312589619085e-19 + 2411 1.360800770228e-11 3.117717316575e-13 -6.305632769492e-13 0.000000000000e+00 1.422802302172e-16 1.281713879021e-17 4.012220836170e-19 + 2412 1.357330202474e-11 3.105897154756e-13 -6.201008460806e-13 0.000000000000e+00 1.420043162606e-16 1.295183372611e-17 3.699798103853e-19 + 2413 1.353811055989e-11 3.094741092977e-13 -6.097127324394e-13 0.000000000000e+00 1.417290060128e-16 1.308802959309e-17 3.374421884209e-19 + 2414 1.350243760901e-11 3.084249944829e-13 -5.994033895495e-13 0.000000000000e+00 1.414542976715e-16 1.322572530396e-17 3.035189729494e-19 + 2415 1.346628749036e-11 3.074424522406e-13 -5.891772851607e-13 0.000000000000e+00 1.411801894224e-16 1.336491975952e-17 2.681196279160e-19 + 2416 1.342966547879e-11 3.065264284014e-13 -5.790385033445e-13 0.000000000000e+00 1.409066795392e-16 1.350560338633e-17 2.311781501899e-19 + 2417 1.339258063085e-11 3.056763268370e-13 -5.689895481183e-13 0.000000000000e+00 1.406337666847e-16 1.364773269388e-17 1.927277071785e-19 + 2418 1.335504297685e-11 3.048914135758e-13 -5.590325325998e-13 0.000000000000e+00 1.403614496118e-16 1.379125556322e-17 1.528264509469e-19 + 2419 1.331706258284e-11 3.041709518043e-13 -5.491695762735e-13 0.000000000000e+00 1.400897270630e-16 1.393611969493e-17 1.115327350007e-19 + 2420 1.327864955065e-11 3.035142018646e-13 -5.394028049976e-13 0.000000000000e+00 1.398185977707e-16 1.408227260899e-17 6.890511449649e-20 + 2421 1.323981401793e-11 3.029204212505e-13 -5.297343510096e-13 0.000000000000e+00 1.395480604570e-16 1.422966164455e-17 2.500234645377e-20 + 2422 1.320056615817e-11 3.023888646050e-13 -5.201663529332e-13 0.000000000000e+00 1.392781138341e-16 1.437823395979e-17 -2.011661003419e-20 + 2423 1.316091618077e-11 3.019187837170e-13 -5.107009557846e-13 0.000000000000e+00 1.390087566036e-16 1.452793653168e-17 -6.639259358895e-20 + 2424 1.312087433103e-11 3.015094275182e-13 -5.013403109784e-13 0.000000000000e+00 1.387399874573e-16 1.467871615581e-17 -1.137662403357e-19 + 2425 1.308045089024e-11 3.011600420803e-13 -4.920865763346e-13 0.000000000000e+00 1.384718050763e-16 1.483051944622e-17 -1.621779836918e-19 + 2426 1.303965617570e-11 3.008698706114e-13 -4.829419160846e-13 0.000000000000e+00 1.382042081319e-16 1.498329283518e-17 -2.115680541560e-19 + 2427 1.299850054073e-11 3.006381534535e-13 -4.739085008773e-13 0.000000000000e+00 1.379371952847e-16 1.513698257302e-17 -2.618764790967e-19 + 2428 1.295699437474e-11 3.004641280788e-13 -4.649885077860e-13 0.000000000000e+00 1.376707651854e-16 1.529153472793e-17 -3.130430825407e-19 + 2429 1.291514810326e-11 3.003470290872e-13 -4.561841203145e-13 0.000000000000e+00 1.374049164742e-16 1.544689518579e-17 -3.650074849624e-19 + 2430 1.287297218798e-11 3.002860882029e-13 -4.474975284034e-13 0.000000000000e+00 1.371396477811e-16 1.560300964996e-17 -4.177091030721e-19 + 2431 1.283047712678e-11 3.002805342714e-13 -4.389309284363e-13 0.000000000000e+00 1.368749577256e-16 1.575982364109e-17 -4.710871496049e-19 + 2432 1.278767345375e-11 3.003295932565e-13 -4.304865232468e-13 0.000000000000e+00 1.366108449171e-16 1.591728249696e-17 -5.250806331095e-19 + 2433 1.274457173929e-11 3.004324882370e-13 -4.221665221239e-13 0.000000000000e+00 1.363473079545e-16 1.607533137225e-17 -5.796283577369e-19 + 2434 1.270118259006e-11 3.005884394037e-13 -4.139731408192e-13 0.000000000000e+00 1.360843454264e-16 1.623391523839e-17 -6.346689230290e-19 + 2435 1.265751664911e-11 3.007966640566e-13 -4.059086015527e-13 0.000000000000e+00 1.358219559111e-16 1.639297888333e-17 -6.901407237076e-19 + 2436 1.261358459584e-11 3.010563766013e-13 -3.979751330196e-13 0.000000000000e+00 1.355601379763e-16 1.655246691140e-17 -7.459819494629e-19 + 2437 1.256939714607e-11 3.013667885465e-13 -3.901749703963e-13 0.000000000000e+00 1.352988901797e-16 1.671232374307e-17 -8.021305847425e-19 + 2438 1.252496505210e-11 3.017271085004e-13 -3.825103553467e-13 0.000000000000e+00 1.350382110680e-16 1.687249361481e-17 -8.585244085398e-19 + 2439 1.248029910271e-11 3.021365421680e-13 -3.749835360289e-13 0.000000000000e+00 1.347780991781e-16 1.703292057884e-17 -9.151009941831e-19 + 2440 1.243541012322e-11 3.025942923477e-13 -3.675967671014e-13 0.000000000000e+00 1.345185530361e-16 1.719354850302e-17 -9.717977091242e-19 + 2441 1.239030897550e-11 3.030995589286e-13 -3.603523097293e-13 0.000000000000e+00 1.342595711578e-16 1.735432107059e-17 -1.028551714727e-18 + 2442 1.234500655806e-11 3.036515388870e-13 -3.532524315909e-13 0.000000000000e+00 1.340011520483e-16 1.751518178001e-17 -1.085299966056e-18 + 2443 1.229951380604e-11 3.042494262836e-13 -3.462994068838e-13 0.000000000000e+00 1.337432942026e-16 1.767607394478e-17 -1.141979211667e-18 + 2444 1.225384169126e-11 3.048924122604e-13 -3.394955163315e-13 0.000000000000e+00 1.334859961049e-16 1.783694069324e-17 -1.198525993392e-18 + 2445 1.220800122227e-11 3.055796850376e-13 -3.328430471895e-13 0.000000000000e+00 1.332292562290e-16 1.799772496838e-17 -1.254876646131e-18 + 2446 1.216200344437e-11 3.063104299102e-13 -3.263442932521e-13 0.000000000000e+00 1.329730730383e-16 1.815836952764e-17 -1.310967297642e-18 + 2447 1.211585943968e-11 3.070838292456e-13 -3.200015548580e-13 0.000000000000e+00 1.327174449856e-16 1.831881694275e-17 -1.366733868324e-18 + 2448 1.206958032713e-11 3.078990624798e-13 -3.138171388974e-13 0.000000000000e+00 1.324623705130e-16 1.847900959953e-17 -1.422112071013e-18 + 2449 1.202317726253e-11 3.087553061148e-13 -3.077933588179e-13 0.000000000000e+00 1.322078480524e-16 1.863888969767e-17 -1.477037410764e-18 + 2450 1.197666143860e-11 3.096517337153e-13 -3.019325346311e-13 0.000000000000e+00 1.319538760247e-16 1.879839925058e-17 -1.531445184645e-18 + 2451 1.193004408503e-11 3.105875159057e-13 -2.962369929189e-13 0.000000000000e+00 1.317004528406e-16 1.895748008519e-17 -1.585270481523e-18 + 2452 1.188333646846e-11 3.115618203670e-13 -2.907090668396e-13 0.000000000000e+00 1.314475769000e-16 1.911607384177e-17 -1.638448181854e-18 + 2453 1.183654989258e-11 3.125738118338e-13 -2.853510961345e-13 0.000000000000e+00 1.311952465922e-16 1.927412197369e-17 -1.690912957470e-18 + 2454 1.178969569812e-11 3.136226520909e-13 -2.801654271345e-13 0.000000000000e+00 1.309434602961e-16 1.943156574732e-17 -1.742599271370e-18 + 2455 1.174278494664e-11 3.147074707775e-13 -2.751539319005e-13 0.000000000000e+00 1.306922164682e-16 1.958835588464e-17 -1.793449305301e-18 + 2456 1.169582746951e-11 3.158272776144e-13 -2.703165625005e-13 0.000000000000e+00 1.304415139091e-16 1.974448155466e-17 -1.843436794595e-18 + 2457 1.164883281330e-11 3.169810496466e-13 -2.656527881230e-13 0.000000000000e+00 1.301913514991e-16 1.989994155457e-17 -1.892543335071e-18 + 2458 1.160181055564e-11 3.181677603860e-13 -2.611620751559e-13 0.000000000000e+00 1.299417281092e-16 2.005473468256e-17 -1.940750468090e-18 + 2459 1.155477030515e-11 3.193863798070e-13 -2.568438871834e-13 0.000000000000e+00 1.296926426018e-16 2.020885973781e-17 -1.988039680507e-18 + 2460 1.150772170159e-11 3.206358743436e-13 -2.526976849827e-13 0.000000000000e+00 1.294440938300e-16 2.036231552053e-17 -2.034392404614e-18 + 2461 1.146067441579e-11 3.219152068850e-13 -2.487229265208e-13 0.000000000000e+00 1.291960806381e-16 2.051510083192e-17 -2.079790018089e-18 + 2462 1.141363814976e-11 3.232233367724e-13 -2.449190669513e-13 0.000000000000e+00 1.289486018616e-16 2.066721447420e-17 -2.124213843942e-18 + 2463 1.136662263665e-11 3.245592197953e-13 -2.412855586113e-13 0.000000000000e+00 1.287016563267e-16 2.081865525060e-17 -2.167645150461e-18 + 2464 1.131963764086e-11 3.259218081875e-13 -2.378218510179e-13 0.000000000000e+00 1.284552428507e-16 2.096942196536e-17 -2.210065151157e-18 + 2465 1.127269295799e-11 3.273100506238e-13 -2.345273908654e-13 0.000000000000e+00 1.282093602419e-16 2.111951342375e-17 -2.251455004714e-18 + 2466 1.122579841494e-11 3.287228922165e-13 -2.314016220215e-13 0.000000000000e+00 1.279640072997e-16 2.126892843205e-17 -2.291795814932e-18 + 2467 1.117896386990e-11 3.301592745110e-13 -2.284439855248e-13 0.000000000000e+00 1.277191828142e-16 2.141766579759e-17 -2.331068630678e-18 + 2468 1.113219921239e-11 3.316181354829e-13 -2.256539195808e-13 0.000000000000e+00 1.274748855667e-16 2.156572432869e-17 -2.369254445825e-18 + 2469 1.108551436332e-11 3.330984095340e-13 -2.230308595593e-13 0.000000000000e+00 1.272311143294e-16 2.171310283475e-17 -2.406334199208e-18 + 2470 1.103891927496e-11 3.345990274885e-13 -2.205742379910e-13 0.000000000000e+00 1.269878678651e-16 2.185980012615e-17 -2.442288774563e-18 + 2471 1.099242393104e-11 3.361189165898e-13 -2.182834845642e-13 0.000000000000e+00 1.267451449281e-16 2.200581501435e-17 -2.477099000477e-18 + 2472 1.094603834674e-11 3.376570004964e-13 -2.161580261216e-13 0.000000000000e+00 1.265029442631e-16 2.215114631182e-17 -2.510745650334e-18 + 2473 1.089977256872e-11 3.392121992783e-13 -2.141972866571e-13 0.000000000000e+00 1.262612646059e-16 2.229579283209e-17 -2.543209442260e-18 + 2474 1.085363667518e-11 3.407834294137e-13 -2.124006873126e-13 0.000000000000e+00 1.260201046832e-16 2.243975338973e-17 -2.574471039074e-18 + 2475 1.080764077586e-11 3.423696037847e-13 -2.107676463747e-13 0.000000000000e+00 1.257794632126e-16 2.258302680035e-17 -2.604511048227e-18 + 2476 1.076179501210e-11 3.439696316744e-13 -2.092975792719e-13 0.000000000000e+00 1.255393389024e-16 2.272561188063e-17 -2.633310021756e-18 + 2477 1.071610955685e-11 3.455824187625e-13 -2.079898985706e-13 0.000000000000e+00 1.252997304518e-16 2.286750744828e-17 -2.660848456228e-18 + 2478 1.067059461470e-11 3.472068671223e-13 -2.068440139725e-13 0.000000000000e+00 1.250606365511e-16 2.300871232208e-17 -2.687106792682e-18 + 2479 1.062526042195e-11 3.488418752164e-13 -2.058593323113e-13 0.000000000000e+00 1.248220558811e-16 2.314922532186e-17 -2.712065416584e-18 + 2480 1.058011724657e-11 3.504863378936e-13 -2.050352575493e-13 0.000000000000e+00 1.245839871135e-16 2.328904526854e-17 -2.735704657765e-18 + 2481 1.053517538830e-11 3.521391463850e-13 -2.043711907742e-13 0.000000000000e+00 1.243464289109e-16 2.342817098406e-17 -2.758004790375e-18 + 2482 1.049044517866e-11 3.537991883002e-13 -2.038665301960e-13 0.000000000000e+00 1.241093799266e-16 2.356660129147e-17 -2.778946032824e-18 + 2483 1.044593698096e-11 3.554653476237e-13 -2.035206711439e-13 0.000000000000e+00 1.238728388047e-16 2.370433501486e-17 -2.798508547731e-18 + 2484 1.040166119035e-11 3.571365047117e-13 -2.033330060627e-13 0.000000000000e+00 1.236368041802e-16 2.384137097941e-17 -2.816672441869e-18 + 2485 1.035762823385e-11 3.588115362877e-13 -2.033029245098e-13 0.000000000000e+00 1.234012746786e-16 2.397770801136e-17 -2.833417766115e-18 + 2486 1.031384857040e-11 3.604893154393e-13 -2.034298131521e-13 0.000000000000e+00 1.231662489163e-16 2.411334493806e-17 -2.848724515393e-18 + 2487 1.027033269083e-11 3.621687116144e-13 -2.037130557627e-13 0.000000000000e+00 1.229317255006e-16 2.424828058792e-17 -2.862572628620e-18 + 2488 1.022709111798e-11 3.638485906175e-13 -2.041520332175e-13 0.000000000000e+00 1.226977030292e-16 2.438251379042e-17 -2.874941988656e-18 + 2489 1.018413440665e-11 3.655278146064e-13 -2.047461234922e-13 0.000000000000e+00 1.224641800907e-16 2.451604337616e-17 -2.885812422249e-18 + 2490 1.014147314368e-11 3.672052420880e-13 -2.054947016589e-13 0.000000000000e+00 1.222311552644e-16 2.464886817681e-17 -2.895163699979e-18 + 2491 1.009911794798e-11 3.688797279148e-13 -2.063971398832e-13 0.000000000000e+00 1.219986271203e-16 2.478098702514e-17 -2.902975536210e-18 + 2492 1.005707947053e-11 3.705501232816e-13 -2.074528074207e-13 0.000000000000e+00 1.217665942189e-16 2.491239875502e-17 -2.909227589031e-18 + 2493 1.001536839444e-11 3.722152757212e-13 -2.086610706138e-13 0.000000000000e+00 1.215350551117e-16 2.504310220141e-17 -2.913899460205e-18 + 2494 9.973994287941e-12 3.738741014652e-13 -2.100210000708e-13 0.000000000000e+00 1.213040084188e-16 2.517308474708e-17 -2.916986693049e-18 + 2495 9.932962155975e-12 3.755258029942e-13 -2.115304903309e-13 0.000000000000e+00 1.210734530642e-16 2.530228788934e-17 -2.918548868819e-18 + 2496 9.892275868430e-12 3.771696527575e-13 -2.131871350246e-13 0.000000000000e+00 1.208433880419e-16 2.543064147112e-17 -2.918661792596e-18 + 2497 9.851939305329e-12 3.788049209227e-13 -2.149885192123e-13 0.000000000000e+00 1.206138123383e-16 2.555807511574e-17 -2.917401521255e-18 + 2498 9.811956356846e-12 3.804308753734e-13 -2.169322193764e-13 0.000000000000e+00 1.203847249318e-16 2.568451822667e-17 -2.914844363715e-18 + 2499 9.772330923314e-12 3.820467817071e-13 -2.190158034119e-13 0.000000000000e+00 1.201561247928e-16 2.580989998732e-17 -2.911066881196e-18 + 2500 9.733066915233e-12 3.836519032331e-13 -2.212368306176e-13 0.000000000000e+00 1.199280108841e-16 2.593414936079e-17 -2.906145887476e-18 + 2501 9.694168253279e-12 3.852455009696e-13 -2.235928516875e-13 0.000000000000e+00 1.197003821604e-16 2.605719508970e-17 -2.900158449142e-18 + 2502 9.655638868317e-12 3.868268336423e-13 -2.260814087014e-13 0.000000000000e+00 1.194732375683e-16 2.617896569594e-17 -2.893181885849e-18 + 2503 9.617482701406e-12 3.883951576814e-13 -2.287000351168e-13 0.000000000000e+00 1.192465760468e-16 2.629938948046e-17 -2.885293770573e-18 + 2504 9.579703703812e-12 3.899497272197e-13 -2.314462557591e-13 0.000000000000e+00 1.190203965269e-16 2.641839452307e-17 -2.876571929866e-18 + 2505 9.542305837014e-12 3.914897940904e-13 -2.343175868137e-13 0.000000000000e+00 1.187946979314e-16 2.653590868218e-17 -2.867094444112e-18 + 2506 9.505293072716e-12 3.930146078245e-13 -2.373115358163e-13 0.000000000000e+00 1.185694791754e-16 2.665185959461e-17 -2.856939647781e-18 + 2507 9.468669392854e-12 3.945234156488e-13 -2.404256016448e-13 0.000000000000e+00 1.183447391660e-16 2.676617467538e-17 -2.846186129684e-18 + 2508 9.432438789608e-12 3.960154624836e-13 -2.436572745097e-13 0.000000000000e+00 1.181204768023e-16 2.687878111749e-17 -2.834912733229e-18 + 2509 9.396605265409e-12 3.974899909404e-13 -2.470040359457e-13 0.000000000000e+00 1.178966909753e-16 2.698960589166e-17 -2.823198556677e-18 + 2510 9.361172832950e-12 3.989462413195e-13 -2.504633588028e-13 0.000000000000e+00 1.176733805681e-16 2.709857574617e-17 -2.811122953393e-18 + 2511 9.326145515194e-12 4.003834516081e-13 -2.540327072373e-13 0.000000000000e+00 1.174505444559e-16 2.720561720660e-17 -2.798765532105e-18 + 2512 9.291527345384e-12 4.018008574775e-13 -2.577095367028e-13 0.000000000000e+00 1.172281815057e-16 2.731065657566e-17 -2.786206157158e-18 + 2513 9.257322367054e-12 4.031976922813e-13 -2.614912939419e-13 0.000000000000e+00 1.170062905765e-16 2.741361993291e-17 -2.773524948769e-18 + 2514 9.223534634035e-12 4.045731870531e-13 -2.653754169766e-13 0.000000000000e+00 1.167848705194e-16 2.751443313457e-17 -2.760802283280e-18 + 2515 9.190168210465e-12 4.059265705038e-13 -2.693593351000e-13 0.000000000000e+00 1.165639201773e-16 2.761302181333e-17 -2.748118793416e-18 + 2516 9.157227170802e-12 4.072570690198e-13 -2.734404688672e-13 0.000000000000e+00 1.163434383852e-16 2.770931137808e-17 -2.735555368540e-18 + 2517 9.124715599830e-12 4.085639066606e-13 -2.776162300864e-13 0.000000000000e+00 1.161234239700e-16 2.780322701374e-17 -2.723193154905e-18 + 2518 9.092637592668e-12 4.098463051564e-13 -2.818840218101e-13 0.000000000000e+00 1.159038757503e-16 2.789469368101e-17 -2.711113555911e-18 + 2519 9.060997254781e-12 4.111034839061e-13 -2.862412383263e-13 0.000000000000e+00 1.156847925369e-16 2.798363611616e-17 -2.699398232362e-18 + 2520 9.029798701989e-12 4.123346599745e-13 -2.906852651496e-13 0.000000000000e+00 1.154661731324e-16 2.806997883081e-17 -2.688129102717e-18 + 2521 8.999046060475e-12 4.135390480909e-13 -2.952134790121e-13 0.000000000000e+00 1.152480163313e-16 2.815364611174e-17 -2.677388343348e-18 + 2522 8.968743466798e-12 4.147158606460e-13 -2.998232478551e-13 0.000000000000e+00 1.150303209200e-16 2.823456202061e-17 -2.667258388793e-18 + 2523 8.938895067897e-12 4.158643076900e-13 -3.045119308195e-13 0.000000000000e+00 1.148130856767e-16 2.831265039382e-17 -2.657821932014e-18 + 2524 8.909505021105e-12 4.169835969304e-13 -3.092768782375e-13 0.000000000000e+00 1.145963093715e-16 2.838783484223e-17 -2.649161924648e-18 + 2525 8.880577494156e-12 4.180729337296e-13 -3.141154316235e-13 0.000000000000e+00 1.143799907666e-16 2.846003875095e-17 -2.641361577266e-18 + 2526 8.852116665194e-12 4.191315211027e-13 -3.190249236655e-13 0.000000000000e+00 1.141641286156e-16 2.852918527918e-17 -2.634504359626e-18 + 2527 8.824126722784e-12 4.201585597151e-13 -3.240026782156e-13 0.000000000000e+00 1.139487216642e-16 2.859519735991e-17 -2.628674000927e-18 + 2528 8.796611865921e-12 4.211532478804e-13 -3.290460102818e-13 0.000000000000e+00 1.137337686500e-16 2.865799769974e-17 -2.623954490066e-18 + 2529 8.769576304037e-12 4.221147815582e-13 -3.341522260190e-13 0.000000000000e+00 1.135192683023e-16 2.871750877869e-17 -2.620430075894e-18 + 2530 8.743024257015e-12 4.230423543514e-13 -3.393186227199e-13 0.000000000000e+00 1.133052193422e-16 2.877365284993e-17 -2.618185267467e-18 + 2531 8.716959955193e-12 4.239351575046e-13 -3.445424888061e-13 0.000000000000e+00 1.130916204826e-16 2.882635193960e-17 -2.617304834304e-18 + 2532 8.691387639377e-12 4.247923799012e-13 -3.498211038197e-13 0.000000000000e+00 1.128784704283e-16 2.887552784656e-17 -2.617873806644e-18 + 2533 8.666310359323e-12 4.256133255235e-13 -3.551517526682e-13 0.000000000000e+00 1.126657679449e-16 2.892113880402e-17 -2.619951903591e-18 + 2534 8.641726361571e-12 4.263977665780e-13 -3.605317684687e-13 0.000000000000e+00 1.124535120671e-16 2.896328969626e-17 -2.623496655538e-18 + 2535 8.617632680750e-12 4.271455924068e-13 -3.659584899343e-13 0.000000000000e+00 1.122417018915e-16 2.900212247864e-17 -2.628439837835e-18 + 2536 8.594026339189e-12 4.278566922110e-13 -3.714292471328e-13 0.000000000000e+00 1.120303365081e-16 2.903777957405e-17 -2.634713002314e-18 + 2537 8.570904346913e-12 4.285309550505e-13 -3.769413614789e-13 0.000000000000e+00 1.118194149997e-16 2.907040387342e-17 -2.642247477063e-18 + 2538 8.548263701621e-12 4.291682698443e-13 -3.824921457254e-13 0.000000000000e+00 1.116089364422e-16 2.910013873618e-17 -2.650974366205e-18 + 2539 8.526101388677e-12 4.297685253698e-13 -3.880789039545e-13 0.000000000000e+00 1.113988999046e-16 2.912712799071e-17 -2.660824549675e-18 + 2540 8.504414381100e-12 4.303316102633e-13 -3.936989315690e-13 0.000000000000e+00 1.111893044489e-16 2.915151593485e-17 -2.671728682995e-18 + 2541 8.483199639543e-12 4.308574130197e-13 -3.993495152842e-13 0.000000000000e+00 1.109801491301e-16 2.917344733630e-17 -2.683617197053e-18 + 2542 8.462454112287e-12 4.313458219925e-13 -4.050279331189e-13 0.000000000000e+00 1.107714329962e-16 2.919306743315e-17 -2.696420297879e-18 + 2543 8.442174735225e-12 4.317967253936e-13 -4.107314543871e-13 0.000000000000e+00 1.105631550883e-16 2.921052193432e-17 -2.710067966424e-18 + 2544 8.422358431849e-12 4.322100112933e-13 -4.164573396891e-13 0.000000000000e+00 1.103553144403e-16 2.922595702002e-17 -2.724489958332e-18 + 2545 8.403002113236e-12 4.325855676202e-13 -4.222028409030e-13 0.000000000000e+00 1.101479100793e-16 2.923951934225e-17 -2.739615803722e-18 + 2546 8.384102678038e-12 4.329232821613e-13 -4.279652011763e-13 0.000000000000e+00 1.099409410253e-16 2.925135602521e-17 -2.755374806964e-18 + 2547 8.365657012463e-12 4.332230425618e-13 -4.337416549170e-13 0.000000000000e+00 1.097344062912e-16 2.926161466584e-17 -2.771696046451e-18 + 2548 8.347661990271e-12 4.334847363248e-13 -4.395294277854e-13 0.000000000000e+00 1.095283048830e-16 2.927044333423e-17 -2.788508374386e-18 + 2549 8.330114472751e-12 4.337082508118e-13 -4.453257366849e-13 0.000000000000e+00 1.093226357995e-16 2.927799057410e-17 -2.805740416547e-18 + 2550 8.313011308715e-12 4.338934732420e-13 -4.511277897540e-13 0.000000000000e+00 1.091173980325e-16 2.928440540330e-17 -2.823320572074e-18 + 2551 8.296349334480e-12 4.340402906927e-13 -4.569327863574e-13 0.000000000000e+00 1.089125905668e-16 2.928983731423e-17 -2.841177013239e-18 + 2552 8.280125373860e-12 4.341485900989e-13 -4.627379170775e-13 0.000000000000e+00 1.087082123800e-16 2.929443627434e-17 -2.859237685229e-18 + 2553 8.264336238148e-12 4.342182582535e-13 -4.685403637056e-13 0.000000000000e+00 1.085042624429e-16 2.929835272657e-17 -2.877430305916e-18 + 2554 8.248978726106e-12 4.342491818071e-13 -4.743372992336e-13 0.000000000000e+00 1.083007397187e-16 2.930173758987e-17 -2.895682365640e-18 + 2555 8.234049623951e-12 4.342412472678e-13 -4.801258878453e-13 0.000000000000e+00 1.080976431641e-16 2.930474225959e-17 -2.913921126984e-18 + 2556 8.219545705339e-12 4.341943410015e-13 -4.859032849076e-13 0.000000000000e+00 1.078949717283e-16 2.930751860801e-17 -2.932073624549e-18 + 2557 8.205463731359e-12 4.341083492314e-13 -4.916666369622e-13 0.000000000000e+00 1.076927243534e-16 2.931021898480e-17 -2.950066664733e-18 + 2558 8.191800450512e-12 4.339831580383e-13 -4.974130817169e-13 0.000000000000e+00 1.074908999746e-16 2.931299621744e-17 -2.967826825509e-18 + 2559 8.178552598704e-12 4.338186533601e-13 -5.031397480369e-13 0.000000000000e+00 1.072894975197e-16 2.931600361175e-17 -2.985280456198e-18 + 2560 8.165716899227e-12 4.336147209922e-13 -5.088437559363e-13 0.000000000000e+00 1.070885159096e-16 2.931939495231e-17 -3.002353677250e-18 + 2561 8.153290062752e-12 4.333712465872e-13 -5.145222165693e-13 0.000000000000e+00 1.068879540579e-16 2.932332450296e-17 -3.018972380019e-18 + 2562 8.141268787312e-12 4.330881156547e-13 -5.201722322222e-13 0.000000000000e+00 1.066878108710e-16 2.932794700725e-17 -3.035062226541e-18 + 2563 8.129649758290e-12 4.327652135617e-13 -5.257908963039e-13 0.000000000000e+00 1.064880852484e-16 2.933341768890e-17 -3.050548649309e-18 + 2564 8.118429648406e-12 4.324024255318e-13 -5.313752933380e-13 0.000000000000e+00 1.062887760822e-16 2.933989225229e-17 -3.065356851052e-18 + 2565 8.107605117702e-12 4.319996366458e-13 -5.369224989542e-13 0.000000000000e+00 1.060898822573e-16 2.934752688291e-17 -3.079411804512e-18 + 2566 8.097172813533e-12 4.315567318412e-13 -5.424295798790e-13 0.000000000000e+00 1.058914026514e-16 2.935647824783e-17 -3.092638252217e-18 + 2567 8.087129370549e-12 4.310735959126e-13 -5.478935939281e-13 0.000000000000e+00 1.056933361353e-16 2.936690349617e-17 -3.104960706265e-18 + 2568 8.077471410688e-12 4.305501135110e-13 -5.533115899969e-13 0.000000000000e+00 1.054956815721e-16 2.937896025959e-17 -3.116303448094e-18 + 2569 8.068195543154e-12 4.299861691441e-13 -5.586806080524e-13 0.000000000000e+00 1.052984378182e-16 2.939280665269e-17 -3.126590528265e-18 + 2570 8.059298364414e-12 4.293816471763e-13 -5.639976791246e-13 0.000000000000e+00 1.051016037223e-16 2.940860127357e-17 -3.135745766233e-18 + 2571 8.050776458177e-12 4.287364318286e-13 -5.692598252978e-13 0.000000000000e+00 1.049051781262e-16 2.942650320422e-17 -3.143692750128e-18 + 2572 8.042625801304e-12 4.280505004944e-13 -5.744643165734e-13 0.000000000000e+00 1.047091599255e-16 2.944662100413e-17 -3.150370053675e-18 + 2573 8.034839977857e-12 4.273242042688e-13 -5.796094430747e-13 0.000000000000e+00 1.045135482534e-16 2.946885937280e-17 -3.155776982062e-18 + 2574 8.027411954857e-12 4.265579890167e-13 -5.846937472214e-13 0.000000000000e+00 1.043183422981e-16 2.949307161513e-17 -3.159928086072e-18 + 2575 8.020334675414e-12 4.257523022028e-13 -5.897157672537e-13 0.000000000000e+00 1.041235412417e-16 2.951911056862e-17 -3.162837968648e-18 + 2576 8.013601058704e-12 4.249075928939e-13 -5.946740372280e-13 0.000000000000e+00 1.039291442601e-16 2.954682860288e-17 -3.164521284945e-18 + 2577 8.007203999947e-12 4.240243117600e-13 -5.995670870133e-13 0.000000000000e+00 1.037351505231e-16 2.957607761918e-17 -3.164992742379e-18 + 2578 8.001136370380e-12 4.231029110760e-13 -6.043934422867e-13 0.000000000000e+00 1.035415591944e-16 2.960670904999e-17 -3.164267100685e-18 + 2579 7.995391017236e-12 4.221438447235e-13 -6.091516245303e-13 0.000000000000e+00 1.033483694313e-16 2.963857385855e-17 -3.162359171967e-18 + 2580 7.989960763719e-12 4.211475681923e-13 -6.138401510265e-13 0.000000000000e+00 1.031555803853e-16 2.967152253836e-17 -3.159283820753e-18 + 2581 7.984838408979e-12 4.201145385822e-13 -6.184575348545e-13 0.000000000000e+00 1.029631912014e-16 2.970540511277e-17 -3.155055964046e-18 + 2582 7.980016728090e-12 4.190452146042e-13 -6.230022848860e-13 0.000000000000e+00 1.027712010188e-16 2.974007113451e-17 -3.149690571376e-18 + 2583 7.975488472025e-12 4.179400565825e-13 -6.274729057817e-13 0.000000000000e+00 1.025796089701e-16 2.977536968520e-17 -3.143202664856e-18 + 2584 7.971246367632e-12 4.167995264563e-13 -6.318678979870e-13 0.000000000000e+00 1.023884141820e-16 2.981114937495e-17 -3.135607319233e-18 + 2585 7.967283117612e-12 4.156240877806e-13 -6.361857577283e-13 0.000000000000e+00 1.021976157748e-16 2.984725834185e-17 -3.126919661940e-18 + 2586 7.963591400491e-12 4.144142057289e-13 -6.404249770090e-13 0.000000000000e+00 1.020072128629e-16 2.988354425155e-17 -3.117154873152e-18 + 2587 7.960163870601e-12 4.131703470939e-13 -6.445840436052e-13 0.000000000000e+00 1.018172045541e-16 2.991985429678e-17 -3.106328185836e-18 + 2588 7.956993158052e-12 4.118929802897e-13 -6.486614410625e-13 0.000000000000e+00 1.016275899502e-16 2.995603519689e-17 -3.094454885803e-18 + 2589 7.954071868712e-12 4.105825753531e-13 -6.526556486912e-13 0.000000000000e+00 1.014383681467e-16 2.999193319743e-17 -3.081550311765e-18 + 2590 7.951392584178e-12 4.092396039455e-13 -6.565651415632e-13 0.000000000000e+00 1.012495382331e-16 3.002739406962e-17 -3.067629855386e-18 + 2591 7.948947861759e-12 4.078645393543e-13 -6.603883905074e-13 0.000000000000e+00 1.010610992922e-16 3.006226310998e-17 -3.052708961332e-18 + 2592 7.946730234444e-12 4.064578564944e-13 -6.641238621060e-13 0.000000000000e+00 1.008730504010e-16 3.009638513980e-17 -3.036803127327e-18 + 2593 7.944732210886e-12 4.050200319105e-13 -6.677700186908e-13 0.000000000000e+00 1.006853906299e-16 3.012960450473e-17 -3.019927904208e-18 + 2594 7.942946275372e-12 4.035515437776e-13 -6.713253183388e-13 0.000000000000e+00 1.004981190433e-16 3.016176507430e-17 -3.002098895971e-18 + 2595 7.941364887802e-12 4.020528719039e-13 -6.747882148686e-13 0.000000000000e+00 1.003112346991e-16 3.019271024146e-17 -2.983331759831e-18 + 2596 7.939980483667e-12 4.005244977313e-13 -6.781571578362e-13 0.000000000000e+00 1.001247366492e-16 3.022228292213e-17 -2.963642206270e-18 + 2597 7.938785474019e-12 3.989669043376e-13 -6.814305925315e-13 0.000000000000e+00 9.993862393892e-17 3.025032555475e-17 -2.943045999093e-18 + 2598 7.937772245453e-12 3.973805764383e-13 -6.846069599739e-13 0.000000000000e+00 9.975289560743e-17 3.027668009980e-17 -2.921558955480e-18 + 2599 7.936933160082e-12 3.957660003877e-13 -6.876846969084e-13 0.000000000000e+00 9.956755068759e-17 3.030118803937e-17 -2.899196946037e-18 + 2600 7.936260555510e-12 3.941236641807e-13 -6.906622358020e-13 0.000000000000e+00 9.938258820594e-17 3.032369037668e-17 -2.875975894852e-18 + 2601 7.935746744811e-12 3.924540574547e-13 -6.935380048395e-13 0.000000000000e+00 9.919800718269e-17 3.034402763564e-17 -2.851911779544e-18 + 2602 7.935384016505e-12 3.907576714908e-13 -6.963104279196e-13 0.000000000000e+00 9.901380663176e-17 3.036203986038e-17 -2.827020631321e-18 + 2603 7.935164634533e-12 3.890349992159e-13 -6.989779246509e-13 0.000000000000e+00 9.882998556071e-17 3.037756661479e-17 -2.801318535029e-18 + 2604 7.935080838232e-12 3.872865352039e-13 -7.015389103482e-13 0.000000000000e+00 9.864654297076e-17 3.039044698208e-17 -2.774821629206e-18 + 2605 7.935124842316e-12 3.855127756774e-13 -7.039917960281e-13 0.000000000000e+00 9.846347785681e-17 3.040051956430e-17 -2.747546106134e-18 + 2606 7.935288836845e-12 3.837142185095e-13 -7.063349884057e-13 0.000000000000e+00 9.828078920738e-17 3.040762248190e-17 -2.719508211894e-18 + 2607 7.935564987208e-12 3.818913632253e-13 -7.085668898900e-13 0.000000000000e+00 9.809847600464e-17 3.041159337327e-17 -2.690724246417e-18 + 2608 7.935945434095e-12 3.800447110036e-13 -7.106858985805e-13 0.000000000000e+00 9.791653722440e-17 3.041226939427e-17 -2.661210563537e-18 + 2609 7.936422293472e-12 3.781747646784e-13 -7.126904082630e-13 0.000000000000e+00 9.773497183608e-17 3.040948721779e-17 -2.630983571046e-18 + 2610 7.936987656562e-12 3.762820287406e-13 -7.145788084054e-13 0.000000000000e+00 9.755377880272e-17 3.040308303327e-17 -2.600059730744e-18 + 2611 7.937633815360e-12 3.743670347694e-13 -7.163498037180e-13 0.000000000000e+00 9.737295713510e-17 3.039293214524e-17 -2.568459151608e-18 + 2612 7.938353940615e-12 3.724304178793e-13 -7.180033747980e-13 0.000000000000e+00 9.719250605441e-17 3.037906801239e-17 -2.536216391206e-18 + 2613 7.939141407604e-12 3.704728407051e-13 -7.195398228642e-13 0.000000000000e+00 9.701242483051e-17 3.036156387521e-17 -2.503369714966e-18 + 2614 7.939989570916e-12 3.684949680131e-13 -7.209594506851e-13 0.000000000000e+00 9.683271272779e-17 3.034049321785e-17 -2.469957508681e-18 + 2615 7.940891764428e-12 3.664974667030e-13 -7.222625625799e-13 0.000000000000e+00 9.665336900525e-17 3.031592976841e-17 -2.436018278625e-18 + 2616 7.941841301289e-12 3.644810058104e-13 -7.234494644205e-13 0.000000000000e+00 9.647439291646e-17 3.028794749915e-17 -2.401590651667e-18 + 2617 7.942831473899e-12 3.624462565084e-13 -7.245204636331e-13 0.000000000000e+00 9.629578370955e-17 3.025662062673e-17 -2.366713375390e-18 + 2618 7.943855553888e-12 3.603938921101e-13 -7.254758692000e-13 0.000000000000e+00 9.611754062720e-17 3.022202361245e-17 -2.331425318205e-18 + 2619 7.944906792097e-12 3.583245880701e-13 -7.263159916611e-13 0.000000000000e+00 9.593966290666e-17 3.018423116251e-17 -2.295765469468e-18 + 2620 7.945978418560e-12 3.562390219873e-13 -7.270411431158e-13 0.000000000000e+00 9.576214977971e-17 3.014331822822e-17 -2.259772939598e-18 + 2621 7.947063642478e-12 3.541378736062e-13 -7.276516372243e-13 0.000000000000e+00 9.558500047268e-17 3.009936000624e-17 -2.223486960187e-18 + 2622 7.948155652207e-12 3.520218248198e-13 -7.281477892099e-13 0.000000000000e+00 9.540821420642e-17 3.005243193886e-17 -2.186946884124e-18 + 2623 7.949247615233e-12 3.498915596708e-13 -7.285299158601e-13 0.000000000000e+00 9.523179019632e-17 3.000260971419e-17 -2.150192185705e-18 + 2624 7.950332678152e-12 3.477477643543e-13 -7.287983355285e-13 0.000000000000e+00 9.505572765228e-17 2.994996926642e-17 -2.113262460752e-18 + 2625 7.951403966653e-12 3.455911272196e-13 -7.289533681366e-13 0.000000000000e+00 9.488002577872e-17 2.989458677606e-17 -2.076197426729e-18 + 2626 7.952454585495e-12 3.434223387725e-13 -7.289953351752e-13 0.000000000000e+00 9.470468377456e-17 2.983653867018e-17 -2.039036922858e-18 + 2627 7.953477618491e-12 3.412420916770e-13 -7.289245597064e-13 0.000000000000e+00 9.452970083323e-17 2.977590162265e-17 -2.001820910233e-18 + 2628 7.954466128482e-12 3.390510807575e-13 -7.287413663651e-13 0.000000000000e+00 9.435507614264e-17 2.971275255436e-17 -1.964589471939e-18 + 2629 7.955413157324e-12 3.368500030012e-13 -7.284460813608e-13 0.000000000000e+00 9.418080888521e-17 2.964716863351e-17 -1.927382813168e-18 + 2630 7.956311725862e-12 3.346395575598e-13 -7.280390324791e-13 0.000000000000e+00 9.400689823782e-17 2.957922727578e-17 -1.890241261332e-18 + 2631 7.957154833916e-12 3.324204457516e-13 -7.275205490834e-13 0.000000000000e+00 9.383334337184e-17 2.950900614461e-17 -1.853205266183e-18 + 2632 7.957935460256e-12 3.301933710637e-13 -7.268909621169e-13 0.000000000000e+00 9.366014345309e-17 2.943658315145e-17 -1.816315399926e-18 + 2633 7.958646562582e-12 3.279590391540e-13 -7.261506041038e-13 0.000000000000e+00 9.348729764187e-17 2.936203645597e-17 -1.779612357336e-18 + 2634 7.959281077511e-12 3.257181578534e-13 -7.252998091515e-13 0.000000000000e+00 9.331480509294e-17 2.928544446631e-17 -1.743136955877e-18 + 2635 7.959831920548e-12 3.234714371675e-13 -7.243389129517e-13 0.000000000000e+00 9.314266495549e-17 2.920688583933e-17 -1.706930135813e-18 + 2636 7.960291986071e-12 3.212195892793e-13 -7.232682527828e-13 0.000000000000e+00 9.297087637316e-17 2.912643948082e-17 -1.671032960327e-18 + 2637 7.960654147312e-12 3.189633285505e-13 -7.220881675108e-13 0.000000000000e+00 9.279943848403e-17 2.904418454579e-17 -1.635486615640e-18 + 2638 7.960911256334e-12 3.167033715242e-13 -7.207989975915e-13 0.000000000000e+00 9.262835042061e-17 2.896020043865e-17 -1.600332411119e-18 + 2639 7.961056144013e-12 3.144404369268e-13 -7.194010850722e-13 0.000000000000e+00 9.245761130983e-17 2.887456681350e-17 -1.565611779402e-18 + 2640 7.961081620017e-12 3.121752456697e-13 -7.178947735930e-13 0.000000000000e+00 9.228722027304e-17 2.878736357433e-17 -1.531366276509e-18 + 2641 7.960980472787e-12 3.099085208519e-13 -7.162804083888e-13 0.000000000000e+00 9.211717642601e-17 2.869867087528e-17 -1.497637581958e-18 + 2642 7.960745469517e-12 3.076409877618e-13 -7.145583362909e-13 0.000000000000e+00 9.194747887890e-17 2.860856912089e-17 -1.464467498884e-18 + 2643 7.960369356133e-12 3.053733738794e-13 -7.127289057288e-13 0.000000000000e+00 9.177812673626e-17 2.851713896630e-17 -1.431897954153e-18 + 2644 7.959844857275e-12 3.031064088780e-13 -7.107924667315e-13 0.000000000000e+00 9.160911909707e-17 2.842446131753e-17 -1.399970998478e-18 + 2645 7.959164676274e-12 3.008408246269e-13 -7.087493709296e-13 0.000000000000e+00 9.144045505464e-17 2.833061733171e-17 -1.368728806537e-18 + 2646 7.958321495136e-12 2.985773551930e-13 -7.065999715568e-13 0.000000000000e+00 9.127213369672e-17 2.823568841729e-17 -1.338213677087e-18 + 2647 7.957307974519e-12 2.963167368427e-13 -7.043446234517e-13 0.000000000000e+00 9.110415410537e-17 2.813975623432e-17 -1.308468033080e-18 + 2648 7.956116753715e-12 2.940597080447e-13 -7.019836830593e-13 0.000000000000e+00 9.093651535707e-17 2.804290269466e-17 -1.279534421782e-18 + 2649 7.954740450629e-12 2.918070094713e-13 -6.995175084327e-13 0.000000000000e+00 9.076921652263e-17 2.794520996224e-17 -1.251455514887e-18 + 2650 7.953172435378e-12 2.895593417230e-13 -6.969466631206e-13 0.000000000000e+00 9.060225671507e-17 2.784674861924e-17 -1.224262496014e-18 + 2651 7.951409155802e-12 2.873172382405e-13 -6.942725290573e-13 0.000000000000e+00 9.043563523340e-17 2.774754209278e-17 -1.197940152860e-18 + 2652 7.949447824765e-12 2.850811916945e-13 -6.914966970627e-13 0.000000000000e+00 9.026935141965e-17 2.764760203213e-17 -1.172461592379e-18 + 2653 7.947285647697e-12 2.828516962009e-13 -6.886207632695e-13 0.000000000000e+00 9.010340461101e-17 2.754694012494e-17 -1.147799835797e-18 + 2654 7.944919822583e-12 2.806292473226e-13 -6.856463291284e-13 0.000000000000e+00 8.993779413990e-17 2.744556809729e-17 -1.123927818532e-18 + 2655 7.942347539963e-12 2.784143420703e-13 -6.825750014132e-13 0.000000000000e+00 8.977251933390e-17 2.734349771371e-17 -1.100818390111e-18 + 2656 7.939565982918e-12 2.762074789044e-13 -6.794083922261e-13 0.000000000000e+00 8.960757951581e-17 2.724074077721e-17 -1.078444314085e-18 + 2657 7.936572327071e-12 2.740091577359e-13 -6.761481190026e-13 0.000000000000e+00 8.944297400358e-17 2.713730912935e-17 -1.056778267952e-18 + 2658 7.933363740573e-12 2.718198799282e-13 -6.727958045171e-13 0.000000000000e+00 8.927870211034e-17 2.703321465025e-17 -1.035792843070e-18 + 2659 7.929937384101e-12 2.696401482977e-13 -6.693530768875e-13 0.000000000000e+00 8.911476314440e-17 2.692846925863e-17 -1.015460544578e-18 + 2660 7.926290410849e-12 2.674704671162e-13 -6.658215695809e-13 0.000000000000e+00 8.895115640922e-17 2.682308491185e-17 -9.957537913106e-19 + 2661 7.922419966524e-12 2.653113421114e-13 -6.622029214182e-13 0.000000000000e+00 8.878788120343e-17 2.671707360595e-17 -9.766449157192e-19 + 2662 7.918323189335e-12 2.631632804685e-13 -6.584987765801e-13 0.000000000000e+00 8.862493682079e-17 2.661044737570e-17 -9.581061637873e-19 + 2663 7.913997209990e-12 2.610267908315e-13 -6.547107846112e-13 0.000000000000e+00 8.846232255022e-17 2.650321829460e-17 -9.401096949493e-19 + 2664 7.909439151688e-12 2.589023833050e-13 -6.508406004262e-13 0.000000000000e+00 8.830003767578e-17 2.639539847496e-17 -9.226275820079e-19 + 2665 7.904646130113e-12 2.567905694547e-13 -6.468898843143e-13 0.000000000000e+00 8.813808147667e-17 2.628700006789e-17 -9.056318110518e-19 + 2666 7.899615253425e-12 2.546918623095e-13 -6.428603019446e-13 0.000000000000e+00 8.797645322721e-17 2.617803526339e-17 -8.890942813737e-19 + 2667 7.894343622255e-12 2.526067763626e-13 -6.387535243717e-13 0.000000000000e+00 8.781515219683e-17 2.606851629034e-17 -8.729868053879e-19 + 2668 7.888828329701e-12 2.505358275726e-13 -6.345712280400e-13 0.000000000000e+00 8.765417765012e-17 2.595845541658e-17 -8.572811085482e-19 + 2669 7.883066461314e-12 2.484795333652e-13 -6.303150947898e-13 0.000000000000e+00 8.749352884673e-17 2.584786494892e-17 -8.419488292653e-19 + 2670 7.877055095100e-12 2.464384126343e-13 -6.259868118616e-13 0.000000000000e+00 8.733320504145e-17 2.573675723315e-17 -8.269615188249e-19 + 2671 7.870791301506e-12 2.444129857436e-13 -6.215880719020e-13 0.000000000000e+00 8.717320548417e-17 2.562514465416e-17 -8.122906413054e-19 + 2672 7.864272143418e-12 2.424037745277e-13 -6.171205729683e-13 0.000000000000e+00 8.701352941985e-17 2.551303963589e-17 -7.979075734954e-19 + 2673 7.857494676152e-12 2.404113022935e-13 -6.125860185342e-13 0.000000000000e+00 8.685417608858e-17 2.540045464142e-17 -7.837836048118e-19 + 2674 7.850455947448e-12 2.384360938218e-13 -6.079861174944e-13 0.000000000000e+00 8.669514472550e-17 2.528740217297e-17 -7.698899372172e-19 + 2675 7.843152997464e-12 2.364786753683e-13 -6.033225841703e-13 0.000000000000e+00 8.653643456084e-17 2.517389477199e-17 -7.561976851379e-19 + 2676 7.835582858768e-12 2.345395746649e-13 -5.985971383145e-13 0.000000000000e+00 8.637804481990e-17 2.505994501913e-17 -7.426778753815e-19 + 2677 7.827742556331e-12 2.326193209217e-13 -5.938115051168e-13 0.000000000000e+00 8.621997472306e-17 2.494556553435e-17 -7.293014470549e-19 + 2678 7.819629107523e-12 2.307184448274e-13 -5.889674152088e-13 0.000000000000e+00 8.606222348575e-17 2.483076897688e-17 -7.160392514817e-19 + 2679 7.811239522103e-12 2.288374785514e-13 -5.840666046691e-13 0.000000000000e+00 8.590479031845e-17 2.471556804532e-17 -7.028620521202e-19 + 2680 7.802570802213e-12 2.269769557449e-13 -5.791108150286e-13 0.000000000000e+00 8.574767442671e-17 2.459997547764e-17 -6.897405244809e-19 + 2681 7.793619942373e-12 2.251374115421e-13 -5.741017932758e-13 0.000000000000e+00 8.559087501111e-17 2.448400405125e-17 -6.766452560447e-19 + 2682 7.784383929475e-12 2.233193825616e-13 -5.690412918616e-13 0.000000000000e+00 8.543439126728e-17 2.436766658299e-17 -6.635467461800e-19 + 2683 7.774859742771e-12 2.215234069082e-13 -5.639310687047e-13 0.000000000000e+00 8.527822238586e-17 2.425097592921e-17 -6.504154060612e-19 + 2684 7.765044353873e-12 2.197500241733e-13 -5.587728871968e-13 0.000000000000e+00 8.512236755255e-17 2.413394498580e-17 -6.372215585857e-19 + 2685 7.754934726741e-12 2.179997754373e-13 -5.535685162077e-13 0.000000000000e+00 8.496682594806e-17 2.401658668819e-17 -6.239354382923e-19 + 2686 7.744527817680e-12 2.162732032703e-13 -5.483197300904e-13 0.000000000000e+00 8.481159674810e-17 2.389891401145e-17 -6.105271912785e-19 + 2687 7.733820575331e-12 2.145708517335e-13 -5.430283086863e-13 0.000000000000e+00 8.465667912343e-17 2.378093997026e-17 -5.969668751183e-19 + 2688 7.722809940665e-12 2.128932663808e-13 -5.376960373305e-13 0.000000000000e+00 8.450207223977e-17 2.366267761901e-17 -5.832244587804e-19 + 2689 7.711493668488e-12 2.112409188984e-13 -5.323247097618e-13 0.000000000000e+00 8.434777530023e-17 2.354414651584e-17 -5.692739057039e-19 + 2690 7.699872796851e-12 2.096139805733e-13 -5.269161368606e-13 0.000000000000e+00 8.419378767263e-17 2.342539215336e-17 -5.551054474880e-19 + 2691 7.687949191077e-12 2.080125475939e-13 -5.214721379688e-13 0.000000000000e+00 8.404010876280e-17 2.330646663383e-17 -5.407133768812e-19 + 2692 7.675724723474e-12 2.064367162996e-13 -5.159945379946e-13 0.000000000000e+00 8.388673797235e-17 2.318742221489e-17 -5.260919706785e-19 + 2693 7.663201273344e-12 2.048865831806e-13 -5.104851674176e-13 0.000000000000e+00 8.373367469861e-17 2.306831130969e-17 -5.112354897071e-19 + 2694 7.650380726989e-12 2.033622448786e-13 -5.049458622939e-13 0.000000000000e+00 8.358091833462e-17 2.294918648703e-17 -4.961381788119e-19 + 2695 7.637264977720e-12 2.018637981864e-13 -4.993784642616e-13 0.000000000000e+00 8.342846826917e-17 2.283010047149e-17 -4.807942668405e-19 + 2696 7.623855925860e-12 2.003913400479e-13 -4.937848205457e-13 0.000000000000e+00 8.327632388678e-17 2.271110614363e-17 -4.651979666295e-19 + 2697 7.610155478756e-12 1.989449675589e-13 -4.881667839635e-13 0.000000000000e+00 8.312448456766e-17 2.259225654005e-17 -4.493434749892e-19 + 2698 7.596165550780e-12 1.975247779664e-13 -4.825262129296e-13 0.000000000000e+00 8.297294968774e-17 2.247360485363e-17 -4.332249726898e-19 + 2699 7.581888063343e-12 1.961308686691e-13 -4.768649714614e-13 0.000000000000e+00 8.282171861867e-17 2.235520443358e-17 -4.168366244461e-19 + 2700 7.567324944894e-12 1.947633372175e-13 -4.711849291844e-13 0.000000000000e+00 8.267079072778e-17 2.223710878566e-17 -4.001725789039e-19 + 2701 7.552478130935e-12 1.934222813139e-13 -4.654879613367e-13 0.000000000000e+00 8.252016537812e-17 2.211937157229e-17 -3.832269686245e-19 + 2702 7.537349564020e-12 1.921077988124e-13 -4.597759487752e-13 0.000000000000e+00 8.236984192840e-17 2.200204661268e-17 -3.659939100710e-19 + 2703 7.521941193768e-12 1.908199877193e-13 -4.540507779800e-13 0.000000000000e+00 8.221981973306e-17 2.188518788301e-17 -3.484675035935e-19 + 2704 7.506254976868e-12 1.895589461930e-13 -4.483143410601e-13 0.000000000000e+00 8.207009814217e-17 2.176884951655e-17 -3.306418334143e-19 + 2705 7.490292877084e-12 1.883247725440e-13 -4.425685357583e-13 0.000000000000e+00 8.192067650153e-17 2.165308580381e-17 -3.125109676140e-19 + 2706 7.474056865266e-12 1.871175652351e-13 -4.368152654569e-13 0.000000000000e+00 8.177155415258e-17 2.153795119270e-17 -2.940689581163e-19 + 2707 7.457548919353e-12 1.859374228817e-13 -4.310564391822e-13 0.000000000000e+00 8.162273043242e-17 2.142350028863e-17 -2.753098406740e-19 + 2708 7.440771024380e-12 1.847844442515e-13 -4.252939716103e-13 0.000000000000e+00 8.147420467384e-17 2.130978785472e-17 -2.562276348544e-19 + 2709 7.423725172489e-12 1.836587282649e-13 -4.195297830719e-13 0.000000000000e+00 8.132597620528e-17 2.119686881187e-17 -2.368163440244e-19 + 2710 7.406413362932e-12 1.825603739950e-13 -4.137657995581e-13 0.000000000000e+00 8.117804435081e-17 2.108479823898e-17 -2.170699553366e-19 + 2711 7.388837602080e-12 1.814894806677e-13 -4.080039527249e-13 0.000000000000e+00 8.103040843017e-17 2.097363137303e-17 -1.969824397143e-19 + 2712 7.370999903427e-12 1.804461476618e-13 -4.022461798989e-13 0.000000000000e+00 8.088306775874e-17 2.086342360927e-17 -1.765477518373e-19 + 2713 7.352902287601e-12 1.794304745089e-13 -3.964944240822e-13 0.000000000000e+00 8.073602164754e-17 2.075423050132e-17 -1.557598301269e-19 + 2714 7.334546782368e-12 1.784425608941e-13 -3.907506339581e-13 0.000000000000e+00 8.058926940321e-17 2.064610776138e-17 -1.346125967323e-19 + 2715 7.315935422642e-12 1.774825066553e-13 -3.850167638955e-13 0.000000000000e+00 8.044281032802e-17 2.053911126029e-17 -1.130999575149e-19 + 2716 7.297070250486e-12 1.765504117838e-13 -3.792947739551e-13 0.000000000000e+00 8.029664371988e-17 2.043329702776e-17 -9.121580203494e-20 + 2717 7.277953315127e-12 1.756463764243e-13 -3.735866298938e-13 0.000000000000e+00 8.015076887230e-17 2.032872125244e-17 -6.895400353614e-20 + 2718 7.258586672954e-12 1.747705008751e-13 -3.678943031704e-13 0.000000000000e+00 8.000518507441e-17 2.022544028211e-17 -4.630841893160e-20 + 2719 7.238972387533e-12 1.739228855878e-13 -3.622197709504e-13 0.000000000000e+00 7.985989161096e-17 2.012351062381e-17 -2.327288878920e-20 + 2720 7.219112529610e-12 1.731036311679e-13 -3.565650161118e-13 0.000000000000e+00 7.971488776228e-17 2.002298894400e-17 1.587626829539e-22 + 2721 7.199009177118e-12 1.723128383745e-13 -3.509320272497e-13 0.000000000000e+00 7.957017280432e-17 1.992393206868e-17 2.399272765099e-20 + 2722 7.178664415183e-12 1.715506081208e-13 -3.453227986819e-13 0.000000000000e+00 7.942574600861e-17 1.982639698352e-17 4.823521466980e-20 + 2723 7.158080336134e-12 1.708170414736e-13 -3.397393304540e-13 0.000000000000e+00 7.928160664227e-17 1.973044083408e-17 7.289244869758e-20 + 2724 7.137259039507e-12 1.701122396542e-13 -3.341836283444e-13 0.000000000000e+00 7.913775396802e-17 1.963612092585e-17 9.797067111029e-20 + 2725 7.116202632055e-12 1.694363040376e-13 -3.286577038702e-13 0.000000000000e+00 7.899418724415e-17 1.954349472449e-17 1.234761397162e-19 + 2726 7.094913227751e-12 1.687893361534e-13 -3.231635742914e-13 0.000000000000e+00 7.885090572450e-17 1.945261985591e-17 1.494151287705e-19 + 2727 7.073392947798e-12 1.681714376854e-13 -3.177032626169e-13 0.000000000000e+00 7.870790865852e-17 1.936355410645e-17 1.757939289895e-19 + 2728 7.051644347614e-12 1.675826475645e-13 -3.122786358755e-13 0.000000000000e+00 7.856519532883e-17 1.927633534153e-17 2.026103311144e-19 + 2729 7.029671700288e-12 1.670227528775e-13 -3.068909189702e-13 0.000000000000e+00 7.842276516435e-17 1.919092114374e-17 2.298280266226e-19 + 2730 7.007479720029e-12 1.664914769436e-13 -3.015411782245e-13 0.000000000000e+00 7.828061762780e-17 1.910724885099e-17 2.574020696212e-19 + 2731 6.985073135823e-12 1.659885421282e-13 -2.962304828818e-13 0.000000000000e+00 7.813875217811e-17 1.902525560841e-17 2.852873806952e-19 + 2732 6.962456691452e-12 1.655136698424e-13 -2.909599051085e-13 0.000000000000e+00 7.799716827041e-17 1.894487836814e-17 3.134387467842e-19 + 2733 6.939635145503e-12 1.650665805418e-13 -2.857305199962e-13 0.000000000000e+00 7.785586535604e-17 1.886605388919e-17 3.418108210601e-19 + 2734 6.916613271383e-12 1.646469937257e-13 -2.805434055643e-13 0.000000000000e+00 7.771484288254e-17 1.878871873719e-17 3.703581228038e-19 + 2735 6.893395857334e-12 1.642546279362e-13 -2.753996427628e-13 0.000000000000e+00 7.757410029364e-17 1.871280928430e-17 3.990350372832e-19 + 2736 6.869987706447e-12 1.638892007574e-13 -2.703003154748e-13 0.000000000000e+00 7.743363702929e-17 1.863826170894e-17 4.277958156296e-19 + 2737 6.846393636674e-12 1.635504288140e-13 -2.652465105193e-13 0.000000000000e+00 7.729345252558e-17 1.856501199569e-17 4.565945747158e-19 + 2738 6.822618480842e-12 1.632380277710e-13 -2.602393176534e-13 0.000000000000e+00 7.715354621481e-17 1.849299593505e-17 4.853852970324e-19 + 2739 6.798667086669e-12 1.629517123325e-13 -2.552798295753e-13 0.000000000000e+00 7.701391752547e-17 1.842214912331e-17 5.141218305658e-19 + 2740 6.774544316775e-12 1.626911962406e-13 -2.503691419266e-13 0.000000000000e+00 7.687456588220e-17 1.835240696233e-17 5.427578886751e-19 + 2741 6.750255048698e-12 1.624561922749e-13 -2.455083532954e-13 0.000000000000e+00 7.673549070582e-17 1.828370465939e-17 5.712470499694e-19 + 2742 6.725804174908e-12 1.622464122512e-13 -2.406985652181e-13 0.000000000000e+00 7.659669141331e-17 1.821597722697e-17 5.995427581850e-19 + 2743 6.701196602817e-12 1.620615670208e-13 -2.359408821827e-13 0.000000000000e+00 7.645816741782e-17 1.814915948264e-17 6.275983220628e-19 + 2744 6.676437254798e-12 1.619013664694e-13 -2.312364116314e-13 0.000000000000e+00 7.631991812865e-17 1.808318604880e-17 6.553669152251e-19 + 2745 6.651531068195e-12 1.617655195166e-13 -2.265862639626e-13 0.000000000000e+00 7.618194295127e-17 1.801799135258e-17 6.828015760535e-19 + 2746 6.626482995339e-12 1.616537341144e-13 -2.219915525342e-13 0.000000000000e+00 7.604424128727e-17 1.795350962558e-17 7.098552075656e-19 + 2747 6.601298003561e-12 1.615657172467e-13 -2.174533936656e-13 0.000000000000e+00 7.590681253440e-17 1.788967490376e-17 7.364805772924e-19 + 2748 6.575981075204e-12 1.615011749281e-13 -2.129729066408e-13 0.000000000000e+00 7.576965608655e-17 1.782642102722e-17 7.626303171556e-19 + 2749 6.550537207641e-12 1.614598122035e-13 -2.085512137109e-13 0.000000000000e+00 7.563277133374e-17 1.776368164004e-17 7.882569233449e-19 + 2750 6.524971413285e-12 1.614413331464e-13 -2.041894400964e-13 0.000000000000e+00 7.549615766214e-17 1.770139019008e-17 8.133127561949e-19 + 2751 6.499288719604e-12 1.614454408586e-13 -1.998887139902e-13 0.000000000000e+00 7.535981445401e-17 1.763947992882e-17 8.377500400628e-19 + 2752 6.473494169137e-12 1.614718374691e-13 -1.956501665599e-13 0.000000000000e+00 7.522374108778e-17 1.757788391119e-17 8.615208632053e-19 + 2753 6.447592819503e-12 1.615202241332e-13 -1.914749319506e-13 0.000000000000e+00 7.508793693795e-17 1.751653499535e-17 8.845771776558e-19 + 2754 6.421589743419e-12 1.615903010314e-13 -1.873641472875e-13 0.000000000000e+00 7.495240137517e-17 1.745536584256e-17 9.068707991022e-19 + 2755 6.395490028713e-12 1.616817673687e-13 -1.833189526783e-13 0.000000000000e+00 7.481713376619e-17 1.739430891695e-17 9.283534067632e-19 + 2756 6.369298778335e-12 1.617943213738e-13 -1.793404912162e-13 0.000000000000e+00 7.468213347385e-17 1.733329648538e-17 9.489765432665e-19 + 2757 6.343021110377e-12 1.619276602977e-13 -1.754299089820e-13 0.000000000000e+00 7.454739985712e-17 1.727226061726e-17 9.686916145254e-19 + 2758 6.316662158077e-12 1.620814804132e-13 -1.715883550471e-13 0.000000000000e+00 7.441293227104e-17 1.721113318434e-17 9.874498896161e-19 + 2759 6.290227069845e-12 1.622554770140e-13 -1.678169814761e-13 0.000000000000e+00 7.427873006676e-17 1.714984586056e-17 1.005202500655e-18 + 2760 6.263721009266e-12 1.624493444136e-13 -1.641169433289e-13 0.000000000000e+00 7.414479259151e-17 1.708833012185e-17 1.021900442677e-18 + 2761 6.237149155119e-12 1.626627759442e-13 -1.604893986642e-13 0.000000000000e+00 7.401111918861e-17 1.702651724596e-17 1.037494573511e-18 + 2762 6.210516701392e-12 1.628954639563e-13 -1.569355085413e-13 0.000000000000e+00 7.387770919745e-17 1.696433831231e-17 1.051935613657e-18 + 2763 6.183828857292e-12 1.631470998174e-13 -1.534564370229e-13 0.000000000000e+00 7.374456195350e-17 1.690172420173e-17 1.065174146165e-18 + 2764 6.157090847260e-12 1.634173739111e-13 -1.500533511781e-13 0.000000000000e+00 7.361167678832e-17 1.683860559638e-17 1.077160616512e-18 + 2765 6.130307910987e-12 1.637059756365e-13 -1.467274210845e-13 0.000000000000e+00 7.347905302950e-17 1.677491297949e-17 1.087845332478e-18 + 2766 6.103485303427e-12 1.640125934067e-13 -1.434798198312e-13 0.000000000000e+00 7.334669000072e-17 1.671057663523e-17 1.097178464025e-18 + 2767 6.076628179684e-12 1.643368944375e-13 -1.403115120189e-13 0.000000000000e+00 7.321458705473e-17 1.664553862449e-17 1.105129899844e-18 + 2768 6.049741249001e-12 1.646784639962e-13 -1.372226180335e-13 0.000000000000e+00 7.308274367257e-17 1.657978878188e-17 1.111748932073e-18 + 2769 6.022829118965e-12 1.650368658295e-13 -1.342130464132e-13 0.000000000000e+00 7.295115936488e-17 1.651332890892e-17 1.117104887229e-18 + 2770 5.995896410484e-12 1.654116623433e-13 -1.312827050441e-13 0.000000000000e+00 7.281983363890e-17 1.644616081531e-17 1.121267298415e-18 + 2771 5.968947757797e-12 1.658024146021e-13 -1.284315011600e-13 0.000000000000e+00 7.268876599851e-17 1.637828631901e-17 1.124305905506e-18 + 2772 5.941987808483e-12 1.662086823275e-13 -1.256593413412e-13 0.000000000000e+00 7.255795594418e-17 1.630970724620e-17 1.126290655342e-18 + 2773 5.915021223474e-12 1.666300238973e-13 -1.229661315141e-13 0.000000000000e+00 7.242740297300e-17 1.624042543132e-17 1.127291701911e-18 + 2774 5.888052677070e-12 1.670659963435e-13 -1.203517769503e-13 0.000000000000e+00 7.229710657867e-17 1.617044271704e-17 1.127379406539e-18 + 2775 5.861086856947e-12 1.675161553521e-13 -1.178161822662e-13 0.000000000000e+00 7.216706625146e-17 1.609976095431e-17 1.126624338081e-18 + 2776 5.834128464173e-12 1.679800552608e-13 -1.153592514217e-13 0.000000000000e+00 7.203728147828e-17 1.602838200235e-17 1.125097273106e-18 + 2777 5.807182213216e-12 1.684572490588e-13 -1.129808877202e-13 0.000000000000e+00 7.190775174259e-17 1.595630772864e-17 1.122869196087e-18 + 2778 5.780252831959e-12 1.689472883847e-13 -1.106809938074e-13 0.000000000000e+00 7.177847652448e-17 1.588354000897e-17 1.120011299589e-18 + 2779 5.753345061710e-12 1.694497235257e-13 -1.084594716709e-13 0.000000000000e+00 7.164945530058e-17 1.581008072739e-17 1.116594984459e-18 + 2780 5.726463657215e-12 1.699641034164e-13 -1.063162226392e-13 0.000000000000e+00 7.152068754414e-17 1.573593177629e-17 1.112691860009e-18 + 2781 5.699613386671e-12 1.704899756375e-13 -1.042511473811e-13 0.000000000000e+00 7.139217272497e-17 1.566109505634e-17 1.108373744211e-18 + 2782 5.672799031735e-12 1.710268864143e-13 -1.022641459052e-13 0.000000000000e+00 7.126391030945e-17 1.558557247655e-17 1.103712663882e-18 + 2783 5.646025387540e-12 1.715743806159e-13 -1.003551175589e-13 0.000000000000e+00 7.113589976054e-17 1.550936595426e-17 1.098780854872e-18 + 2784 5.619297262704e-12 1.721320017536e-13 -9.852396102798e-14 0.000000000000e+00 7.100814053777e-17 1.543247741511e-17 1.093650762253e-18 + 2785 5.592619479341e-12 1.726992919800e-13 -9.677057433549e-14 0.000000000000e+00 7.088063209722e-17 1.535490879313e-17 1.088395040509e-18 + 2786 5.565996873077e-12 1.732757920875e-13 -9.509485484145e-14 0.000000000000e+00 7.075337389152e-17 1.527666203067e-17 1.083086553720e-18 + 2787 5.539434293060e-12 1.738610415071e-13 -9.349669924194e-14 0.000000000000e+00 7.062636536989e-17 1.519773907845e-17 1.077798375757e-18 + 2788 5.512936601971e-12 1.744545783073e-13 -9.197600356842e-14 0.000000000000e+00 7.049960597807e-17 1.511814189557e-17 1.072603790462e-18 + 2789 5.486508676038e-12 1.750559391928e-13 -9.053266318705e-14 0.000000000000e+00 7.037309515835e-17 1.503787244948e-17 1.067576291845e-18 + 2790 5.460155405044e-12 1.756646595032e-13 -8.916657279794e-14 0.000000000000e+00 7.024683234959e-17 1.495693271604e-17 1.062789584265e-18 + 2791 5.433881692346e-12 1.762802732119e-13 -8.787762643449e-14 0.000000000000e+00 7.012081698715e-17 1.487532467950e-17 1.058317582623e-18 + 2792 5.407692454879e-12 1.769023129247e-13 -8.666571746264e-14 0.000000000000e+00 6.999504850295e-17 1.479305033250e-17 1.054234412550e-18 + 2793 5.381592623175e-12 1.775303098788e-13 -8.553073858021e-14 0.000000000000e+00 6.986952632545e-17 1.471011167609e-17 1.050614410591e-18 + 2794 5.355587141369e-12 1.781637939413e-13 -8.447258181615e-14 0.000000000000e+00 6.974424987962e-17 1.462651071975e-17 1.047532124399e-18 + 2795 5.329680967217e-12 1.788022936080e-13 -8.349113852985e-14 0.000000000000e+00 6.961921858695e-17 1.454224948139e-17 1.045062312921e-18 + 2796 5.303879072102e-12 1.794453360025e-13 -8.258629941044e-14 0.000000000000e+00 6.949443186549e-17 1.445732998733e-17 1.043279946585e-18 + 2797 5.278186441051e-12 1.800924468745e-13 -8.175795447605e-14 0.000000000000e+00 6.936988912976e-17 1.437175427235e-17 1.042260207491e-18 + 2798 5.252608072743e-12 1.807431505990e-13 -8.100599307317e-14 0.000000000000e+00 6.924558979082e-17 1.428552437969e-17 1.042078489596e-18 + 2799 5.227148979525e-12 1.813969701747e-13 -8.033030387586e-14 0.000000000000e+00 6.912153325623e-17 1.419864236103e-17 1.042810398906e-18 + 2800 5.201814187420e-12 1.820534272230e-13 -7.973077488511e-14 0.000000000000e+00 6.899771893007e-17 1.411111027653e-17 1.044531753663e-18 + 2801 5.176608736142e-12 1.827120419865e-13 -7.920729342810e-14 0.000000000000e+00 6.887414621289e-17 1.402293019482e-17 1.047318584530e-18 + 2802 5.151537679106e-12 1.833723333282e-13 -7.875974615749e-14 0.000000000000e+00 6.875081450178e-17 1.393410419302e-17 1.051247134786e-18 + 2803 5.126606083441e-12 1.840338187299e-13 -7.838801905072e-14 0.000000000000e+00 6.862772319030e-17 1.384463435673e-17 1.056393860509e-18 + 2804 5.101819030004e-12 1.846960142912e-13 -7.809199740933e-14 0.000000000000e+00 6.850487166850e-17 1.375452278008e-17 1.062835430765e-18 + 2805 5.077181613386e-12 1.853584347280e-13 -7.787156585820e-14 0.000000000000e+00 6.838225932292e-17 1.366377156568e-17 1.070648727799e-18 + 2806 5.052698451536e-12 1.860206176115e-13 -7.772646431346e-14 0.000000000000e+00 6.825988556758e-17 1.357238599981e-17 1.079884336319e-18 + 2807 5.028372211784e-12 1.866821962260e-13 -7.765585506628e-14 0.000000000000e+00 6.813774993707e-17 1.348038409593e-17 1.090486859804e-18 + 2808 5.004205077146e-12 1.873428270885e-13 -7.765875343815e-14 0.000000000000e+00 6.801585199396e-17 1.338778710100e-17 1.102374188683e-18 + 2809 4.980199236026e-12 1.880021657430e-13 -7.773417160418e-14 0.000000000000e+00 6.789419129779e-17 1.329461632490e-17 1.115463973250e-18 + 2810 4.956356882215e-12 1.886598667593e-13 -7.788111859024e-14 0.000000000000e+00 6.777276740512e-17 1.320089314048e-17 1.129673623447e-18 + 2811 4.932680214906e-12 1.893155837319e-13 -7.809860027003e-14 0.000000000000e+00 6.765157986950e-17 1.310663898365e-17 1.144920308650e-18 + 2812 4.909171438685e-12 1.899689692798e-13 -7.838561936216e-14 0.000000000000e+00 6.753062824146e-17 1.301187535340e-17 1.161120957451e-18 + 2813 4.885832763550e-12 1.906196750449e-13 -7.874117542730e-14 0.000000000000e+00 6.740991206855e-17 1.291662381186e-17 1.178192257446e-18 + 2814 4.862666404902e-12 1.912673516917e-13 -7.916426486523e-14 0.000000000000e+00 6.728943089527e-17 1.282090598440e-17 1.196050655017e-18 + 2815 4.839674583559e-12 1.919116489060e-13 -7.965388091196e-14 0.000000000000e+00 6.716918426314e-17 1.272474355961e-17 1.214612355118e-18 + 2816 4.816859525758e-12 1.925522153944e-13 -8.020901363683e-14 0.000000000000e+00 6.704917171062e-17 1.262815828945e-17 1.233793321058e-18 + 2817 4.794223463156e-12 1.931886988832e-13 -8.082864993959e-14 0.000000000000e+00 6.692939277318e-17 1.253117198922e-17 1.253509274285e-18 + 2818 4.771768632840e-12 1.938207461177e-13 -8.151177354753e-14 0.000000000000e+00 6.680984698325e-17 1.243380653768e-17 1.273675694173e-18 + 2819 4.749497277327e-12 1.944480028612e-13 -8.225736501256e-14 0.000000000000e+00 6.669053387022e-17 1.233608387705e-17 1.294207817804e-18 + 2820 4.727411644572e-12 1.950701138941e-13 -8.306440170829e-14 0.000000000000e+00 6.657145296046e-17 1.223802601314e-17 1.315020639754e-18 + 2821 4.705513987971e-12 1.956867230132e-13 -8.393185782717e-14 0.000000000000e+00 6.645260377729e-17 1.213965501532e-17 1.336028911876e-18 + 2822 4.683806566363e-12 1.962974730308e-13 -8.485870437756e-14 0.000000000000e+00 6.633398584102e-17 1.204099301666e-17 1.357147143085e-18 + 2823 4.662291644039e-12 1.969020057737e-13 -8.584390918082e-14 0.000000000000e+00 6.621559866888e-17 1.194206221391e-17 1.378289599145e-18 + 2824 4.640971490746e-12 1.974999620824e-13 -8.688643686845e-14 0.000000000000e+00 6.609744177507e-17 1.184288486764e-17 1.399370302448e-18 + 2825 4.619848381687e-12 1.980909818105e-13 -8.798524887913e-14 0.000000000000e+00 6.597951467074e-17 1.174348330220e-17 1.420303031804e-18 + 2826 4.598924597530e-12 1.986747038233e-13 -8.913930345587e-14 0.000000000000e+00 6.586181686399e-17 1.164387990587e-17 1.441001322221e-18 + 2827 4.578202424411e-12 1.992507659975e-13 -9.034755564309e-14 0.000000000000e+00 6.574434785985e-17 1.154409713085e-17 1.461378464694e-18 + 2828 4.557684153939e-12 1.998188052197e-13 -9.160895728371e-14 0.000000000000e+00 6.562710716029e-17 1.144415749335e-17 1.481347505984e-18 + 2829 4.537372083201e-12 2.003784573863e-13 -9.292245701626e-14 0.000000000000e+00 6.551009426425e-17 1.134408357363e-17 1.500821248407e-18 + 2830 4.517268514763e-12 2.009293574021e-13 -9.428700027196e-14 0.000000000000e+00 6.539330866755e-17 1.124389801608e-17 1.519712249616e-18 + 2831 4.497375756681e-12 2.014711391795e-13 -9.570152927185e-14 0.000000000000e+00 6.527674986299e-17 1.114362352923e-17 1.537932822389e-18 + 2832 4.477696122497e-12 2.020034356378e-13 -9.716498302387e-14 0.000000000000e+00 6.516041734027e-17 1.104328288588e-17 1.555395034406e-18 + 2833 4.458231931253e-12 2.025258787021e-13 -9.867629731994e-14 0.000000000000e+00 6.504431058601e-17 1.094289892308e-17 1.572010708042e-18 + 2834 4.438985507488e-12 2.030380993029e-13 -1.002344047331e-13 0.000000000000e+00 6.492842908377e-17 1.084249454224e-17 1.587691420146e-18 + 2835 4.419959181247e-12 2.035397273745e-13 -1.018382346146e-13 0.000000000000e+00 6.481277231401e-17 1.074209270915e-17 1.602348501827e-18 + 2836 4.401155288083e-12 2.040303918550e-13 -1.034867130909e-13 0.000000000000e+00 6.469733975411e-17 1.064171645406e-17 1.615893038239e-18 + 2837 4.382576169061e-12 2.045097206846e-13 -1.051787630609e-13 0.000000000000e+00 6.458213087836e-17 1.054138887175e-17 1.628235868364e-18 + 2838 4.364224170768e-12 2.049773408054e-13 -1.069133041931e-13 0.000000000000e+00 6.446714515796e-17 1.044113312155e-17 1.639287584797e-18 + 2839 4.346101645309e-12 2.054328781600e-13 -1.086892529225e-13 0.000000000000e+00 6.435238206101e-17 1.034097242741e-17 1.648958533534e-18 + 2840 4.328210950318e-12 2.058759576912e-13 -1.105055224477e-13 0.000000000000e+00 6.423784105251e-17 1.024093007796e-17 1.657158813750e-18 + 2841 4.310554448962e-12 2.063062033407e-13 -1.123610227281e-13 0.000000000000e+00 6.412352159436e-17 1.014102942658e-17 1.663798277587e-18 + 2842 4.293134509941e-12 2.067232380482e-13 -1.142546604813e-13 0.000000000000e+00 6.400942314534e-17 1.004129389144e-17 1.668786529940e-18 + 2843 4.275953507498e-12 2.071266837510e-13 -1.161853391794e-13 0.000000000000e+00 6.389554516115e-17 9.941746955560e-18 1.672032928237e-18 + 2844 4.259013821420e-12 2.075161613827e-13 -1.181519590470e-13 0.000000000000e+00 6.378188709436e-17 9.842412166860e-18 1.673446582228e-18 + 2845 4.242317280656e-12 2.078913403919e-13 -1.201534056729e-13 0.000000000000e+00 6.366844841587e-17 9.743320236863e-18 1.672965951835e-18 + 2846 4.225863491032e-12 2.082520875784e-13 -1.221885157902e-13 0.000000000000e+00 6.355522867946e-17 9.644530376567e-18 1.670647807593e-18 + 2847 4.209651498935e-12 2.085983190216e-13 -1.242561113142e-13 0.000000000000e+00 6.344222745756e-17 9.546109070509e-18 1.666578727734e-18 + 2848 4.193680346916e-12 2.089299506303e-13 -1.263550107087e-13 0.000000000000e+00 6.332944431983e-17 9.448122988277e-18 1.660845541930e-18 + 2849 4.177949073688e-12 2.092468981426e-13 -1.284840289824e-13 0.000000000000e+00 6.321687883319e-17 9.350638984664e-18 1.653535331518e-18 + 2850 4.162456714121e-12 2.095490771261e-13 -1.306419776861e-13 0.000000000000e+00 6.310453056177e-17 9.253724099837e-18 1.644735429723e-18 + 2851 4.147202299238e-12 2.098364029771e-13 -1.328276649095e-13 0.000000000000e+00 6.299239906693e-17 9.157445559494e-18 1.634533421881e-18 + 2852 4.132184856211e-12 2.101087909212e-13 -1.350398952783e-13 0.000000000000e+00 6.288048390727e-17 9.061870775029e-18 1.623017145664e-18 + 2853 4.117403408359e-12 2.103661560127e-13 -1.372774699507e-13 0.000000000000e+00 6.276878463858e-17 8.967067343690e-18 1.610274691298e-18 + 2854 4.102856975143e-12 2.106084131346e-13 -1.395391866151e-13 0.000000000000e+00 6.265730081390e-17 8.873103048746e-18 1.596394401792e-18 + 2855 4.088544572161e-12 2.108354769985e-13 -1.418238394862e-13 0.000000000000e+00 6.254603198348e-17 8.780045859644e-18 1.581464873157e-18 + 2856 4.074465211148e-12 2.110472621445e-13 -1.441302193024e-13 0.000000000000e+00 6.243497769477e-17 8.687963932174e-18 1.565574954633e-18 + 2857 4.060617899969e-12 2.112436829408e-13 -1.464571133228e-13 0.000000000000e+00 6.232413749243e-17 8.596925608629e-18 1.548813748906e-18 + 2858 4.047001642616e-12 2.114246535841e-13 -1.488033053237e-13 0.000000000000e+00 6.221351091835e-17 8.506999417969e-18 1.531270612338e-18 + 2859 4.033615439205e-12 2.115900880989e-13 -1.511675755959e-13 0.000000000000e+00 6.210309751159e-17 8.418254075980e-18 1.513035155186e-18 + 2860 4.020458285972e-12 2.117399003377e-13 -1.535487009416e-13 0.000000000000e+00 6.199289680844e-17 8.330758485439e-18 1.494197241825e-18 + 2861 4.007529175268e-12 2.118740039808e-13 -1.559454546712e-13 0.000000000000e+00 6.188290834238e-17 8.244581736272e-18 1.474846990973e-18 + 2862 3.994827095559e-12 2.119923125363e-13 -1.583566066002e-13 0.000000000000e+00 6.177313164406e-17 8.159793105720e-18 1.455074775913e-18 + 2863 3.982351031416e-12 2.120947393396e-13 -1.607809230462e-13 0.000000000000e+00 6.166356624137e-17 8.076462058498e-18 1.434971224717e-18 + 2864 3.970099963519e-12 2.121811975536e-13 -1.632171668260e-13 0.000000000000e+00 6.155421165935e-17 7.994658246958e-18 1.414627220469e-18 + 2865 3.958072868647e-12 2.122516001686e-13 -1.656640972523e-13 0.000000000000e+00 6.144506742023e-17 7.914451511250e-18 1.394133901484e-18 + 2866 3.946268719677e-12 2.123058600017e-13 -1.681204701305e-13 0.000000000000e+00 6.133613304344e-17 7.835911879487e-18 1.373582661540e-18 + 2867 3.934686485579e-12 2.123438896975e-13 -1.705850377561e-13 0.000000000000e+00 6.122740804558e-17 7.759109567900e-18 1.353065150090e-18 + 2868 3.923325131415e-12 2.123656017269e-13 -1.730565489113e-13 0.000000000000e+00 6.111889194043e-17 7.684114981009e-18 1.332673272496e-18 + 2869 3.912183618333e-12 2.123709083881e-13 -1.755337488618e-13 0.000000000000e+00 6.101058423894e-17 7.610998711775e-18 1.312499190244e-18 + 2870 3.901260903562e-12 2.123597218057e-13 -1.780153793542e-13 0.000000000000e+00 6.090248444923e-17 7.539831541772e-18 1.292635321172e-18 + 2871 3.890555940412e-12 2.123319539305e-13 -1.805001786123e-13 0.000000000000e+00 6.079459207659e-17 7.470684441340e-18 1.273174339687e-18 + 2872 3.880067678267e-12 2.122875165402e-13 -1.829868813348e-13 0.000000000000e+00 6.068690662349e-17 7.403628569751e-18 1.254209176999e-18 + 2873 3.869795062583e-12 2.122263212384e-13 -1.854742186914e-13 0.000000000000e+00 6.057942758953e-17 7.338735275373e-18 1.235833021331e-18 + 2874 3.859737034884e-12 2.121482794547e-13 -1.879609183204e-13 0.000000000000e+00 6.047215447150e-17 7.276076095827e-18 1.218139318152e-18 + 2875 3.849892532758e-12 2.120533024449e-13 -1.904457043253e-13 0.000000000000e+00 6.036508676333e-17 7.215722758151e-18 1.201221770396e-18 + 2876 3.840260489854e-12 2.119413012907e-13 -1.929272972717e-13 0.000000000000e+00 6.025822395611e-17 7.157747178963e-18 1.185174338686e-18 + 2877 3.830839835877e-12 2.118121868991e-13 -1.954044141844e-13 0.000000000000e+00 6.015156553808e-17 7.102221464622e-18 1.170091241555e-18 + 2878 3.821629496584e-12 2.116658700032e-13 -1.978757685443e-13 0.000000000000e+00 6.004511099461e-17 7.049217911389e-18 1.156066955672e-18 + 2879 3.812628393783e-12 2.115022611611e-13 -2.003400702852e-13 0.000000000000e+00 5.993885980824e-17 6.998809005590e-18 1.143196216066e-18 + 2880 3.803835445328e-12 2.113212707565e-13 -2.027960257909e-13 0.000000000000e+00 5.983281145864e-17 6.951067423777e-18 1.131574016344e-18 + 2881 3.795249565112e-12 2.111228089981e-13 -2.052423378919e-13 0.000000000000e+00 5.972696542262e-17 6.906066032891e-18 1.121295608919e-18 + 2882 3.786869663069e-12 2.109067859198e-13 -2.076777058626e-13 0.000000000000e+00 5.962132117412e-17 6.863877890422e-18 1.112456505230e-18 + 2883 3.778694645166e-12 2.106731113803e-13 -2.101008254181e-13 0.000000000000e+00 5.951587818421e-17 6.824576244573e-18 1.105152475969e-18 + 2884 3.770723147570e-12 2.104217324288e-13 -2.125104737556e-13 0.000000000000e+00 5.941063596407e-17 6.788204153185e-18 1.099450282372e-18 + 2885 3.762952737684e-12 2.101527456085e-13 -2.149057651574e-13 0.000000000000e+00 5.930559419404e-17 6.754683171646e-18 1.095299707293e-18 + 2886 3.755380709041e-12 2.098662852231e-13 -2.172858966797e-13 0.000000000000e+00 5.920075259522e-17 6.723904201594e-18 1.092621077845e-18 + 2887 3.748004346770e-12 2.095624860234e-13 -2.196500632243e-13 0.000000000000e+00 5.909611088654e-17 6.695757829761e-18 1.091334493553e-18 + 2888 3.740820927579e-12 2.092414832075e-13 -2.219974575368e-13 0.000000000000e+00 5.899166878477e-17 6.670134327699e-18 1.091359826158e-18 + 2889 3.733827719750e-12 2.089034124215e-13 -2.243272702048e-13 0.000000000000e+00 5.888742600451e-17 6.646923651500e-18 1.092616719414e-18 + 2890 3.727021983134e-12 2.085484097598e-13 -2.266386896558e-13 0.000000000000e+00 5.878338225816e-17 6.626015441521e-18 1.095024588892e-18 + 2891 3.720400969142e-12 2.081766117653e-13 -2.289309021555e-13 0.000000000000e+00 5.867953725600e-17 6.607299022111e-18 1.098502621779e-18 + 2892 3.713961920735e-12 2.077881554302e-13 -2.312030918061e-13 0.000000000000e+00 5.857589070610e-17 6.590663401328e-18 1.102969776682e-18 + 2893 3.707702072419e-12 2.073831781961e-13 -2.334544405442e-13 0.000000000000e+00 5.847244231434e-17 6.575997270668e-18 1.108344783424e-18 + 2894 3.701618650238e-12 2.069618179545e-13 -2.356841281390e-13 0.000000000000e+00 5.836919178446e-17 6.563189004788e-18 1.114546142850e-18 + 2895 3.695708871765e-12 2.065242130473e-13 -2.378913321908e-13 0.000000000000e+00 5.826613881799e-17 6.552126661227e-18 1.121492126625e-18 + 2896 3.689969946095e-12 2.060705022671e-13 -2.400752281288e-13 0.000000000000e+00 5.816328311428e-17 6.542697980133e-18 1.129100777036e-18 + 2897 3.684399073837e-12 2.056008248576e-13 -2.422349892091e-13 0.000000000000e+00 5.806062437048e-17 6.534790383983e-18 1.137289906792e-18 + 2898 3.678993447105e-12 2.051153205141e-13 -2.443697865133e-13 0.000000000000e+00 5.795816228159e-17 6.528290977312e-18 1.145977098827e-18 + 2899 3.673750249516e-12 2.046141293837e-13 -2.464787889466e-13 0.000000000000e+00 5.785589654037e-17 6.523086546430e-18 1.155079706099e-18 + 2900 3.668666656176e-12 2.040973920661e-13 -2.485611632355e-13 0.000000000000e+00 5.775382683741e-17 6.519063559151e-18 1.164514851391e-18 + 2901 3.663739833675e-12 2.035652496136e-13 -2.506160739265e-13 0.000000000000e+00 5.765195286111e-17 6.516108164516e-18 1.174199427114e-18 + 2902 3.658966940081e-12 2.030178435318e-13 -2.526426833840e-13 0.000000000000e+00 5.755027429765e-17 6.514106192513e-18 1.184050095105e-18 + 2903 3.654345124930e-12 2.024553157797e-13 -2.546401517883e-13 0.000000000000e+00 5.744879083103e-17 6.512943153805e-18 1.193983286432e-18 + 2904 3.649871529219e-12 2.018778087704e-13 -2.566076371343e-13 0.000000000000e+00 5.734750214302e-17 6.512504239451e-18 1.203915201190e-18 + 2905 3.645543285400e-12 2.012854653716e-13 -2.585442952288e-13 0.000000000000e+00 5.724640791322e-17 6.512674320630e-18 1.213761808305e-18 + 2906 3.641357517371e-12 2.006784289054e-13 -2.604492796897e-13 0.000000000000e+00 5.714550781899e-17 6.513337948367e-18 1.223438845337e-18 + 2907 3.637311340468e-12 2.000568431495e-13 -2.623217419431e-13 0.000000000000e+00 5.704480153550e-17 6.514379353253e-18 1.232861818276e-18 + 2908 3.633401861460e-12 1.994208523371e-13 -2.641608312224e-13 0.000000000000e+00 5.694428873568e-17 6.515682445172e-18 1.241946001345e-18 + 2909 3.629626178537e-12 1.987706011574e-13 -2.659656945657e-13 0.000000000000e+00 5.684396909027e-17 6.517130813023e-18 1.250606436804e-18 + 2910 3.625981381307e-12 1.981062347559e-13 -2.677354768144e-13 0.000000000000e+00 5.674384226779e-17 6.518607724443e-18 1.258757934746e-18 + 2911 3.622464550788e-12 1.974278987354e-13 -2.694693206113e-13 0.000000000000e+00 5.664390793452e-17 6.519996125534e-18 1.266315072902e-18 + 2912 3.619072759395e-12 1.967357391555e-13 -2.711663663986e-13 0.000000000000e+00 5.654416575454e-17 6.521178640580e-18 1.273192196439e-18 + 2913 3.615803070940e-12 1.960299025337e-13 -2.728257524161e-13 0.000000000000e+00 5.644461538969e-17 6.522037571780e-18 1.279303417764e-18 + 2914 3.612652540619e-12 1.953105358455e-13 -2.744466146996e-13 0.000000000000e+00 5.634525649959e-17 6.522454898963e-18 1.284562616321e-18 + 2915 3.609618215008e-12 1.945777865251e-13 -2.760280870786e-13 0.000000000000e+00 5.624608874162e-17 6.522312279317e-18 1.288883438396e-18 + 2916 3.606697132052e-12 1.938318024652e-13 -2.775693011750e-13 0.000000000000e+00 5.614711177095e-17 6.521491047112e-18 1.292179296916e-18 + 2917 3.603886321060e-12 1.930727320182e-13 -2.790693864006e-13 0.000000000000e+00 5.604832524049e-17 6.519872213419e-18 1.294363371250e-18 + 2918 3.601182802698e-12 1.923007239959e-13 -2.805274699561e-13 0.000000000000e+00 5.594972880093e-17 6.517336465841e-18 1.295348607011e-18 + 2919 3.598583588979e-12 1.915159276705e-13 -2.819426768283e-13 0.000000000000e+00 5.585132210071e-17 6.513764168233e-18 1.295047715854e-18 + 2920 3.596085683255e-12 1.907184927746e-13 -2.833141297891e-13 0.000000000000e+00 5.575310478603e-17 6.509035360422e-18 1.293373175282e-18 + 2921 3.593686080214e-12 1.899085695017e-13 -2.846409493931e-13 0.000000000000e+00 5.565507650086e-17 6.503029757939e-18 1.290237228441e-18 + 2922 3.591381765868e-12 1.890863085067e-13 -2.859222539761e-13 0.000000000000e+00 5.555723688691e-17 6.495626751736e-18 1.285551883928e-18 + 2923 3.589169602333e-12 1.882518971361e-13 -2.871573364876e-13 0.000000000000e+00 5.545958553104e-17 6.486739892879e-18 1.279254826507e-18 + 2924 3.587045981548e-12 1.874056683164e-13 -2.883461959608e-13 0.000000000000e+00 5.536212180711e-17 6.476420535940e-18 1.271387291525e-18 + 2925 3.585007169804e-12 1.865479922124e-13 -2.894890087025e-13 0.000000000000e+00 5.526484503334e-17 6.464754714374e-18 1.262016580300e-18 + 2926 3.583049422795e-12 1.856792400472e-13 -2.905859516999e-13 0.000000000000e+00 5.516775452485e-17 6.451828702925e-18 1.251210184808e-18 + 2927 3.581168985606e-12 1.847997841037e-13 -2.916372026224e-13 0.000000000000e+00 5.507084959359e-17 6.437729017835e-18 1.239035787846e-18 + 2928 3.579362092705e-12 1.839099977251e-13 -2.926429398214e-13 0.000000000000e+00 5.497412954843e-17 6.422542417053e-18 1.225561263196e-18 + 2929 3.577624967932e-12 1.830102553161e-13 -2.936033423315e-13 0.000000000000e+00 5.487759369507e-17 6.406355900442e-18 1.210854675791e-18 + 2930 3.575953824494e-12 1.821009323437e-13 -2.945185898708e-13 0.000000000000e+00 5.478124133610e-17 6.389256709983e-18 1.194984281880e-18 + 2931 3.574344864952e-12 1.811824053382e-13 -2.953888628415e-13 0.000000000000e+00 5.468507177097e-17 6.371332329990e-18 1.178018529191e-18 + 2932 3.572794281212e-12 1.802550518938e-13 -2.962143423308e-13 0.000000000000e+00 5.458908429600e-17 6.352670487313e-18 1.160026057096e-18 + 2933 3.571298254518e-12 1.793192506701e-13 -2.969952101114e-13 0.000000000000e+00 5.449327820434e-17 6.333359151547e-18 1.141075696777e-18 + 2934 3.569852955442e-12 1.783753813925e-13 -2.977316486423e-13 0.000000000000e+00 5.439765278602e-17 6.313486535239e-18 1.121236471392e-18 + 2935 3.568454543875e-12 1.774238248532e-13 -2.984238410690e-13 0.000000000000e+00 5.430220732791e-17 6.293141094099e-18 1.100577596236e-18 + 2936 3.567099169014e-12 1.764649629124e-13 -2.990719712247e-13 0.000000000000e+00 5.420694111373e-17 6.272411527203e-18 1.079168478909e-18 + 2937 3.565782969361e-12 1.754991784990e-13 -2.996762236304e-13 0.000000000000e+00 5.411185342405e-17 6.251386777205e-18 1.057078719479e-18 + 2938 3.564502072706e-12 1.745268556114e-13 -3.002367834961e-13 0.000000000000e+00 5.401694353628e-17 6.230156030543e-18 1.034378110647e-18 + 2939 3.563252596121e-12 1.735483793187e-13 -3.007538367210e-13 0.000000000000e+00 5.392221072466e-17 6.208808717647e-18 1.011136637913e-18 + 2940 3.562030645952e-12 1.725641357616e-13 -3.012275698943e-13 0.000000000000e+00 5.382765426027e-17 6.187434513148e-18 9.874244797407e-19 + 2941 3.560832317808e-12 1.715745121528e-13 -3.016581702957e-13 0.000000000000e+00 5.373327341105e-17 6.166123336084e-18 9.633120077192e-19 + 2942 3.559653696551e-12 1.705798967788e-13 -3.020458258964e-13 0.000000000000e+00 5.363906744172e-17 6.144965350109e-18 9.388697867317e-19 + 2943 3.558490856291e-12 1.695806790000e-13 -3.023907253594e-13 0.000000000000e+00 5.354503561386e-17 6.124050963700e-18 9.141685751182e-19 + 2944 3.557339860371e-12 1.685772492520e-13 -3.026930580403e-13 0.000000000000e+00 5.345117718587e-17 6.103470830366e-18 8.892793248407e-19 + 2945 3.556196761363e-12 1.675699990467e-13 -3.029530139877e-13 0.000000000000e+00 5.335749141296e-17 6.083315848857e-18 8.642731816478e-19 + 2946 3.555057601056e-12 1.665593209727e-13 -3.031707839442e-13 0.000000000000e+00 5.326397754717e-17 6.063677163366e-18 8.392214852400e-19 + 2947 3.553918410447e-12 1.655456086966e-13 -3.033465593468e-13 0.000000000000e+00 5.317063483734e-17 6.044646163746e-18 8.141957694337e-19 + 2948 3.552775209733e-12 1.645292569640e-13 -3.034805323276e-13 0.000000000000e+00 5.307746252914e-17 6.026314485709e-18 7.892677623267e-19 + 2949 3.551624008301e-12 1.635106615999e-13 -3.035728957146e-13 0.000000000000e+00 5.298445986502e-17 6.008774011041e-18 7.645093864625e-19 + 2950 3.550460804719e-12 1.624902195101e-13 -3.036238430318e-13 0.000000000000e+00 5.289162608427e-17 5.992116867803e-18 7.399927589952e-19 + 2951 3.549281586727e-12 1.614683286822e-13 -3.036335685006e-13 0.000000000000e+00 5.279896042295e-17 5.976435430545e-18 7.157901918542e-19 + 2952 3.548082331228e-12 1.604453881860e-13 -3.036022670398e-13 0.000000000000e+00 5.270646211394e-17 5.961822320512e-18 6.919741919093e-19 + 2953 3.546859004277e-12 1.594217981748e-13 -3.035301342667e-13 0.000000000000e+00 5.261413038691e-17 5.948370405849e-18 6.686174611349e-19 + 2954 3.545607561075e-12 1.583979598861e-13 -3.034173664974e-13 0.000000000000e+00 5.252196446831e-17 5.936172801811e-18 6.457928967754e-19 + 2955 3.544323945957e-12 1.573742756430e-13 -3.032641607476e-13 0.000000000000e+00 5.242996358140e-17 5.925322870974e-18 6.235735915095e-19 + 2956 3.543004092386e-12 1.563511488544e-13 -3.030707147333e-13 0.000000000000e+00 5.233812694621e-17 5.915914223437e-18 6.020328336151e-19 + 2957 3.541643922939e-12 1.553289840163e-13 -3.028372268711e-13 0.000000000000e+00 5.224645377956e-17 5.908040717032e-18 5.812441071341e-19 + 2958 3.540239349303e-12 1.543081867130e-13 -3.025638962794e-13 0.000000000000e+00 5.215494329505e-17 5.901796457536e-18 5.612810920373e-19 + 2959 3.538786272261e-12 1.532891636173e-13 -3.022509227785e-13 0.000000000000e+00 5.206359470305e-17 5.897275798872e-18 5.422176643889e-19 + 2960 3.537280581689e-12 1.522723224921e-13 -3.018985068917e-13 0.000000000000e+00 5.197240721073e-17 5.894573343321e-18 5.241278965115e-19 + 2961 3.535718156539e-12 1.512580721910e-13 -3.015068498455e-13 0.000000000000e+00 5.188138002199e-17 5.893783941730e-18 5.070860571506e-19 + 2962 3.534095758922e-12 1.502467332225e-13 -3.010760912499e-13 0.000000000000e+00 5.179051263966e-17 5.894982424360e-18 4.911505440357e-19 + 2963 3.532413721174e-12 1.492382689578e-13 -3.006061217999e-13 0.000000000000e+00 5.169980577349e-17 5.898162683534e-18 4.763155944394e-19 + 2964 3.530673272055e-12 1.482325530957e-13 -3.000967696491e-13 0.000000000000e+00 5.160926043661e-17 5.903298290182e-18 4.625593361672e-19 + 2965 3.528875643876e-12 1.472294589784e-13 -2.995478626461e-13 0.000000000000e+00 5.151887764380e-17 5.910362735772e-18 4.498598334194e-19 + 2966 3.527022072500e-12 1.462288595913e-13 -2.989592283340e-13 0.000000000000e+00 5.142865841153e-17 5.919329432241e-18 4.381950867361e-19 + 2967 3.525113797344e-12 1.452306275622e-13 -2.983306939501e-13 0.000000000000e+00 5.133860375791e-17 5.930171711927e-18 4.275430329424e-19 + 2968 3.523152061385e-12 1.442346351616e-13 -2.976620864264e-13 0.000000000000e+00 5.124871470271e-17 5.942862827496e-18 4.178815450934e-19 + 2969 3.521138111163e-12 1.432407543021e-13 -2.969532323884e-13 0.000000000000e+00 5.115899226739e-17 5.957375951876e-18 4.091884324194e-19 + 2970 3.519073196780e-12 1.422488565381e-13 -2.962039581558e-13 0.000000000000e+00 5.106943747504e-17 5.973684178188e-18 4.014414402705e-19 + 2971 3.516958571907e-12 1.412588130655e-13 -2.954140897415e-13 0.000000000000e+00 5.098005135044e-17 5.991760519673e-18 3.946182500625e-19 + 2972 3.514795493787e-12 1.402704947215e-13 -2.945834528521e-13 0.000000000000e+00 5.089083492004e-17 6.011577909628e-18 3.886964792211e-19 + 2973 3.512585223235e-12 1.392837719839e-13 -2.937118728870e-13 0.000000000000e+00 5.080178921195e-17 6.033109201330e-18 3.836536811277e-19 + 2974 3.510329024644e-12 1.382985149716e-13 -2.927991749388e-13 0.000000000000e+00 5.071291525595e-17 6.056327167975e-18 3.794673450639e-19 + 2975 3.508028165987e-12 1.373145934434e-13 -2.918451837928e-13 0.000000000000e+00 5.062421408349e-17 6.081204502601e-18 3.761148961571e-19 + 2976 3.505683918820e-12 1.363318767982e-13 -2.908497239266e-13 0.000000000000e+00 5.053568672769e-17 6.107713818023e-18 3.735736953252e-19 + 2977 3.503297558286e-12 1.353502340748e-13 -2.898126195103e-13 0.000000000000e+00 5.044733422335e-17 6.135827646763e-18 3.718210392217e-19 + 2978 3.500870363115e-12 1.343695339510e-13 -2.887336944060e-13 0.000000000000e+00 5.035915760695e-17 6.165518440981e-18 3.708341601811e-19 + 2979 3.498403615631e-12 1.333896447439e-13 -2.876127721677e-13 0.000000000000e+00 5.027115791662e-17 6.196758572404e-18 3.705902261635e-19 + 2980 3.495898601753e-12 1.324104344094e-13 -2.864496760409e-13 0.000000000000e+00 5.018333619218e-17 6.229520332257e-18 3.710663407002e-19 + 2981 3.493356610999e-12 1.314317705418e-13 -2.852442289628e-13 0.000000000000e+00 5.009569347514e-17 6.263775931198e-18 3.722395428382e-19 + 2982 3.490778936486e-12 1.304535203735e-13 -2.839962535616e-13 0.000000000000e+00 5.000823080867e-17 6.299497499241e-18 3.740868070858e-19 + 2983 3.488166874939e-12 1.294755507748e-13 -2.827055721567e-13 0.000000000000e+00 4.992094923762e-17 6.336657085694e-18 3.765850433574e-19 + 2984 3.485521726688e-12 1.284977282536e-13 -2.813720067581e-13 0.000000000000e+00 4.983384980853e-17 6.375226659086e-18 3.797110969186e-19 + 2985 3.482844795673e-12 1.275199189551e-13 -2.799953790665e-13 0.000000000000e+00 4.974693356962e-17 6.415178107098e-18 3.834417483314e-19 + 2986 3.480137389452e-12 1.265419886611e-13 -2.785755104730e-13 0.000000000000e+00 4.966020157077e-17 6.456483236495e-18 3.877537133990e-19 + 2987 3.477400819194e-12 1.255638027904e-13 -2.771122220588e-13 0.000000000000e+00 4.957365486358e-17 6.499113773054e-18 3.926236431114e-19 + 2988 3.474636399691e-12 1.245852263980e-13 -2.756053345952e-13 0.000000000000e+00 4.948729450130e-17 6.543041361498e-18 3.980281235898e-19 + 2989 3.471845449358e-12 1.236061241748e-13 -2.740546685430e-13 0.000000000000e+00 4.940112153888e-17 6.588237565426e-18 4.039436760321e-19 + 2990 3.469029290234e-12 1.226263604476e-13 -2.724600440526e-13 0.000000000000e+00 4.931513703297e-17 6.634673867242e-18 4.103467566581e-19 + 2991 3.466189247990e-12 1.216457991785e-13 -2.708212809638e-13 0.000000000000e+00 4.922934204188e-17 6.682321668085e-18 4.172137566542e-19 + 2992 3.463326651925e-12 1.206643039646e-13 -2.691381988055e-13 0.000000000000e+00 4.914373762563e-17 6.731152287766e-18 4.245210021185e-19 + 2993 3.460442834976e-12 1.196817380381e-13 -2.674106167954e-13 0.000000000000e+00 4.905832484592e-17 6.781136964689e-18 4.322447540064e-19 + 2994 3.457539133717e-12 1.186979642654e-13 -2.656383538398e-13 0.000000000000e+00 4.897310476613e-17 6.832246855790e-18 4.403612080751e-19 + 2995 3.454616888364e-12 1.177128451471e-13 -2.638212285336e-13 0.000000000000e+00 4.888807845135e-17 6.884453036463e-18 4.488464948287e-19 + 2996 3.451677442776e-12 1.167262428179e-13 -2.619590591599e-13 0.000000000000e+00 4.880324696836e-17 6.937726500495e-18 4.576766794638e-19 + 2997 3.448722144459e-12 1.157380190459e-13 -2.600516636899e-13 0.000000000000e+00 4.871861138562e-17 6.992038159990e-18 4.668277618140e-19 + 2998 3.445752344572e-12 1.147480352325e-13 -2.580988597825e-13 0.000000000000e+00 4.863417277329e-17 7.047358845307e-18 4.762756762953e-19 + 2999 3.442769397924e-12 1.137561524119e-13 -2.561004647843e-13 0.000000000000e+00 4.854993220324e-17 7.103659304985e-18 4.859962918511e-19 + 3000 3.439774662983e-12 1.127622312514e-13 -2.540562957291e-13 0.000000000000e+00 4.846589074902e-17 7.160910205679e-18 4.959654118972e-19 diff --git a/output/explanatory00_cl_lensed.dat b/output/explanatory00_cl_lensed.dat new file mode 100644 index 00000000..513749b2 --- /dev/null +++ b/output/explanatory00_cl_lensed.dat @@ -0,0 +1,2510 @@ +# dimensionless total lensed [l(l+1)/2pi] C_l's +# for l=2 to 2500, i.e. number of multipoles equal to 2499 +# +# -> if you prefer output in CAMB/HealPix/LensPix units/order, set 'format' to 'camb' in input file +# -> if you don't want to see such a header, set 'headers' to 'no' in input file +# -> for CMB lensing (phi), these are C_l^phi-phi for the lensing potential. +# Remember the conversion factors: +# C_l^dd (deflection) = l(l+1) C_l^phi-phi +# C_l^gg (shear/convergence) = 1/4 (l(l+1))^2 C_l^phi-phi +# +# 1:l 2:TT 3:EE 4:TE 5:BB 6:phiphi 7:TPhi 8:Ephi + 2 1.381676922073e-10 4.179730664567e-15 3.519335898546e-13 2.309814839071e-19 8.236345715484e-09 4.535748655438e-10 -1.842359971483e-12 + 3 1.306696050644e-10 5.354811893491e-15 3.955014342064e-13 4.620580409763e-19 5.068763597778e-09 3.217369154938e-10 -1.394920075648e-12 + 4 1.236017474586e-10 4.629636484021e-15 3.698082815636e-13 7.703061003334e-19 3.524743959263e-09 2.436997857927e-10 -9.127421857635e-13 + 5 1.183100275113e-10 3.087195288368e-15 3.148766270343e-13 1.155847170450e-18 2.631980820294e-09 1.925368525815e-10 -5.069340914643e-13 + 6 1.146812950375e-10 1.726131530524e-15 2.535645249932e-13 1.618828742298e-18 2.056887114197e-09 1.566785141488e-10 -2.081013463412e-13 + 7 1.123168400508e-10 9.336982151493e-16 1.990688070272e-13 2.159421557269e-18 1.660291803439e-09 1.303589812185e-10 -1.764541688822e-14 + 8 1.109367214825e-10 6.038792820564e-16 1.571588739721e-13 2.777816517134e-18 1.372925902204e-09 1.103958592899e-10 7.941422178616e-14 + 9 1.102928438859e-10 4.859033303213e-16 1.291080806329e-13 3.474221327552e-18 1.156601753761e-09 9.490323825684e-11 1.064376999485e-13 + 10 1.101544649381e-10 4.150001788028e-16 1.135879839933e-13 4.248856973076e-18 9.888512733596e-10 8.262925872292e-11 8.927909804014e-14 + 11 1.104629033375e-10 3.497497166316e-16 1.079365493883e-13 5.101954124621e-18 8.333804337332e-10 7.300890478750e-11 5.203124929130e-14 + 12 1.110664366063e-10 3.057951433726e-16 1.090961000076e-13 6.033749579875e-18 7.283489590686e-10 6.455586167159e-11 1.227599630793e-14 + 13 1.119147566366e-10 2.941346296501e-16 1.143823505644e-13 7.044482833151e-18 6.421078082299e-10 5.769182789313e-11 -1.798989760025e-14 + 14 1.129605342743e-10 3.068007351011e-16 1.217750422409e-13 8.134392863958e-18 5.703409159936e-10 5.171510398772e-11 -3.451240734620e-14 + 15 1.141904010498e-10 3.320504838440e-16 1.299846568821e-13 9.303715223313e-18 5.099194133766e-10 4.668819785546e-11 -3.750083237488e-14 + 16 1.155290792444e-10 3.673604415476e-16 1.383481462854e-13 1.055267948402e-17 4.585371756284e-10 4.235496816918e-11 -3.091279892492e-14 + 17 1.170041617993e-10 4.182597556273e-16 1.466476885694e-13 1.188150710625e-17 4.144517857253e-10 3.857283733957e-11 -1.994046106344e-14 + 18 1.185524750539e-10 4.901787603839e-16 1.551403425518e-13 1.329040957286e-17 3.761812867130e-10 3.527412534487e-11 -9.473326934204e-15 + 19 1.201852680445e-10 5.834449651531e-16 1.640479904621e-13 1.477958807592e-17 3.431210243185e-10 3.241157096393e-11 -2.116915704517e-15 + 20 1.218952842197e-10 6.960575459377e-16 1.735112421068e-13 1.634923076471e-17 3.139983640629e-10 2.986963992921e-11 4.178950611157e-16 + 21 1.236840116362e-10 8.273741836121e-16 1.834830205093e-13 1.799951524714e-17 2.883573023668e-10 2.760243577936e-11 -1.297255957968e-15 + 22 1.255253977316e-10 9.769047757784e-16 1.937766148924e-13 1.973060557160e-17 2.655859213097e-10 2.555359994146e-11 -5.508496646903e-15 + 23 1.274243149688e-10 1.144848274245e-15 2.040647638963e-13 2.154265614667e-17 2.453721979242e-10 2.371506539791e-11 -1.047337354514e-14 + 24 1.293744014580e-10 1.331435492212e-15 2.139326706254e-13 2.343580867047e-17 2.272498696015e-10 2.207081453838e-11 -1.433778041730e-14 + 25 1.313776112793e-10 1.536752493775e-15 2.230926170818e-13 2.541019771154e-17 2.110064530035e-10 2.060007437769e-11 -1.626983943018e-14 + 26 1.334226997320e-10 1.761074088623e-15 2.312981866205e-13 2.746594700745e-17 1.963485930984e-10 1.926616049707e-11 -1.593290617791e-14 + 27 1.355046383940e-10 2.006414568405e-15 2.384323891854e-13 2.960317481570e-17 1.831009166042e-10 1.805177774032e-11 -1.394333921664e-14 + 28 1.376116925758e-10 2.275305676428e-15 2.444496955768e-13 3.182199138413e-17 1.710354976839e-10 1.693804729448e-11 -1.130861565947e-14 + 29 1.397530244620e-10 2.569153470166e-15 2.494199900103e-13 3.412250762495e-17 1.600910562280e-10 1.592299984683e-11 -8.694803698399e-15 + 30 1.419330926961e-10 2.888992163614e-15 2.534890341137e-13 3.650482790036e-17 1.501504341163e-10 1.500085398628e-11 -6.780557787818e-15 + 31 1.441458882265e-10 3.235821378997e-15 2.568048516855e-13 3.896904998653e-17 1.410112932876e-10 1.415713188381e-11 -6.191227134693e-15 + 32 1.463944241770e-10 3.610699231735e-15 2.593113028504e-13 4.151527593225e-17 1.326266386103e-10 1.338335400768e-11 -6.736511042996e-15 + 33 1.486758706518e-10 4.014675853311e-15 2.608759674261e-13 4.414360508025e-17 1.249373357281e-10 1.266610190598e-11 -7.873686210809e-15 + 34 1.509804955461e-10 4.448717506462e-15 2.613510258131e-13 4.685413273899e-17 1.178359744087e-10 1.198863675439e-11 -9.001023415592e-15 + 35 1.533104933388e-10 4.913541408587e-15 2.606069886388e-13 4.964695543095e-17 1.112863425460e-10 1.135292792201e-11 -9.838986560203e-15 + 36 1.556660111931e-10 5.409710092741e-15 2.585083911018e-13 5.252216761098e-17 1.052360375386e-10 1.076457457523e-11 -1.017395954622e-14 + 37 1.580429293302e-10 5.937757691590e-15 2.549321660053e-13 5.547985980155e-17 9.960648353167e-11 1.022619703828e-11 -9.836467729510e-15 + 38 1.604452777502e-10 6.498504285902e-15 2.498651400694e-13 5.852011654594e-17 9.438322838331e-11 9.735643985964e-12 -8.978594158147e-15 + 39 1.628757756156e-10 7.092839119703e-15 2.433394654001e-13 6.164301791518e-17 8.954978461610e-11 9.286662022992e-12 -7.892037547050e-15 + 40 1.653317806238e-10 7.721635158023e-15 2.354081275522e-13 6.484864013615e-17 8.506015997085e-11 8.868956346158e-12 -6.939763767092e-15 + 41 1.678080642319e-10 8.385703925465e-15 2.261238478741e-13 6.813705266456e-17 8.085489957780e-11 8.471324101691e-12 -6.460906868821e-15 + 42 1.703075894197e-10 9.085644806692e-15 2.154645178986e-13 7.150830811031e-17 7.692168162840e-11 8.093067886908e-12 -6.437183837272e-15 + 43 1.728332853404e-10 9.821944961414e-15 2.033856006361e-13 7.496244913561e-17 7.325011471978e-11 7.735746926749e-12 -6.725627323543e-15 + 44 1.753846748234e-10 1.059501523959e-14 1.898401081538e-13 7.849951101879e-17 6.981355306544e-11 7.399949445673e-12 -7.146696965477e-15 + 45 1.779594700067e-10 1.140523091342e-14 1.747799307131e-13 8.211951788262e-17 6.657862595077e-11 7.085429917979e-12 -7.524043144653e-15 + 46 1.805597262026e-10 1.225307797744e-14 1.581609733812e-13 8.582247038039e-17 6.354027332892e-11 6.791780160793e-12 -7.823300226020e-15 + 47 1.831869516777e-10 1.313904366895e-14 1.399390675609e-13 8.960835407903e-17 6.069498290525e-11 6.517806986270e-12 -8.050942490726e-15 + 48 1.858401116683e-10 1.406357401865e-14 1.200683000635e-13 9.347714241825e-17 5.803022226102e-11 6.261248815429e-12 -8.216018509937e-15 + 49 1.885154010937e-10 1.502707236400e-14 9.850081956861e-14 9.742879635516e-17 5.552376794514e-11 6.018699435195e-12 -8.330311232592e-15 + 50 1.912084021163e-10 1.602987145180e-14 7.519199965681e-14 1.014632639974e-16 5.315040387342e-11 5.786581709354e-12 -8.408796512810e-15 + 51 1.939217745437e-10 1.707214426765e-14 5.011802908996e-14 1.055804802095e-16 5.090571652086e-11 5.564557182559e-12 -8.470794017267e-15 + 52 1.966592600215e-10 1.815396643247e-14 2.326276166821e-14 1.097803662857e-16 4.878759895944e-11 5.352910184166e-12 -8.539405440122e-15 + 53 1.994233673049e-10 1.927533783322e-14 -5.387165886031e-15 1.140628296038e-16 4.678912963858e-11 5.151552566816e-12 -8.641413368307e-15 + 54 2.022152572009e-10 2.043617989345e-14 -3.584227539386e-14 1.184277632699e-16 4.489824826789e-11 4.959996873068e-12 -8.807455413508e-15 + 55 2.050352901819e-10 2.163638199819e-14 -6.811042657973e-14 1.228750541523e-16 4.310143810190e-11 4.777591359455e-12 -9.062314371727e-15 + 56 2.078850921200e-10 2.287596052706e-14 -1.021975414247e-13 1.274046101372e-16 4.139658652715e-11 4.604354912035e-12 -9.392565100602e-15 + 57 2.107658001921e-10 2.415493454755e-14 -1.381069572307e-13 1.320163390207e-16 3.978275160425e-11 4.440302541057e-12 -9.771195437689e-15 + 58 2.136773578719e-10 2.547327932546e-14 -1.758391562993e-13 1.367101406831e-16 3.825627121234e-11 4.285185426492e-12 -1.016657963515e-14 + 59 2.166184256896e-10 2.683092551053e-14 -2.153917166656e-13 1.414859070600e-16 3.681059502544e-11 4.138474286915e-12 -1.054226740190e-14 + 60 2.195862919928e-10 2.822775832211e-14 -2.567592628330e-13 1.463435221128e-16 3.543611648884e-11 3.999342748386e-12 -1.085677294575e-14 + 61 2.225781329732e-10 2.966353902834e-14 -2.999338498822e-13 1.512828773146e-16 3.412284185755e-11 3.866897565024e-12 -1.107304707294e-14 + 62 2.255953251336e-10 3.113765063026e-14 -3.449063280018e-13 1.563039222341e-16 3.286947750652e-11 3.740967290963e-12 -1.118985522091e-14 + 63 2.286399468482e-10 3.264929338894e-14 -3.916651982126e-13 1.614066253054e-16 3.167609348668e-11 3.621461927705e-12 -1.121710026649e-14 + 64 2.317134690035e-10 3.419755427978e-14 -4.401961712082e-13 1.665909597700e-16 3.054138999292e-11 3.508133069096e-12 -1.116685533952e-14 + 65 2.348167085688e-10 3.578140371266e-14 -4.904821318402e-13 1.718569041395e-16 2.946261935831e-11 3.400565102625e-12 -1.105346010106e-14 + 66 2.379497821688e-10 3.739969225196e-14 -5.425031036031e-13 1.772044426593e-16 2.843550804831e-11 3.298166410719e-12 -1.089361702166e-14 + 67 2.411120596542e-10 3.905114733671e-14 -5.962362131197e-13 1.826335657715e-16 2.745417865495e-11 3.200160572040e-12 -1.070648765957e-14 + 68 2.443027705031e-10 4.073450482493e-14 -6.516572493712e-13 1.881442787269e-16 2.651272027929e-11 3.105785656904e-12 -1.051011190236e-14 + 69 2.475230694877e-10 4.244894191000e-14 -7.087457876538e-13 1.937366284124e-16 2.561044354645e-11 3.014958674265e-12 -1.030960795035e-14 + 70 2.507743080828e-10 4.419372643537e-14 -7.674810448402e-13 1.994106828166e-16 2.474755515440e-11 2.927730571402e-12 -1.010674331187e-14 + 71 2.540573894711e-10 4.596808999706e-14 -8.278403816750e-13 2.051665240218e-16 2.392356849418e-11 2.844086637932e-12 -9.903402482016e-15 + 72 2.573727388113e-10 4.777122811191e-14 -8.897993080464e-13 2.110042488751e-16 2.313726780244e-11 2.763943029196e-12 -9.701589179081e-15 + 73 2.607202735056e-10 4.960230038587e-14 -9.533314882569e-13 2.169239696603e-16 2.238667231383e-11 2.687143289669e-12 -9.503428580883e-15 + 74 2.640993734675e-10 5.146043068227e-14 -1.018408746295e-12 2.229258147697e-16 2.166900041351e-11 2.613454876345e-12 -9.311169561161e-15 + 75 2.675088513903e-10 5.334470729012e-14 -1.085001071108e-12 2.290099293754e-16 2.098063378962e-11 2.542565682143e-12 -9.127186925950e-15 + 76 2.709475405922e-10 5.525411947093e-14 -1.153076226462e-12 2.351764688372e-16 2.031801590928e-11 2.474166170603e-12 -8.953670769176e-15 + 77 2.744162480343e-10 5.718735336871e-14 -1.222598486742e-12 2.414255760534e-16 1.968061584160e-11 2.408220756609e-12 -8.791624197064e-15 + 78 2.779161050827e-10 5.914295901601e-14 -1.293529679129e-12 2.477574011809e-16 1.906844228539e-11 2.344739826888e-12 -8.641686047833e-15 + 79 2.814479647329e-10 6.111940953578e-14 -1.365829555761e-12 2.541721090467e-16 1.848114077408e-11 2.283696825711e-12 -8.504423446367e-15 + 80 2.850123845417e-10 6.311510000499e-14 -1.439455790902e-12 2.606698796707e-16 1.791797698720e-11 2.225026533826e-12 -8.380327624710e-15 + 81 2.886096095591e-10 6.512834631838e-14 -1.514363978099e-12 2.672509087882e-16 1.737782006196e-11 2.168623347379e-12 -8.269809742575e-15 + 82 2.922395552600e-10 6.715738405206e-14 -1.590507627349e-12 2.739154083725e-16 1.685912590475e-11 2.114339556843e-12 -8.173196707840e-15 + 83 2.959017904759e-10 6.920036732723e-14 -1.667838162262e-12 2.806636071577e-16 1.635992050265e-11 2.061983625946e-12 -8.090726997053e-15 + 84 2.995958198459e-10 7.125543789669e-14 -1.746305442240e-12 2.874957476185e-16 1.587827981181e-11 2.011367990215e-12 -8.022276798661e-15 + 85 3.033220223564e-10 7.332094805286e-14 -1.825859434687e-12 2.944120751883e-16 1.541389738548e-11 1.962465327073e-12 -7.966495434588e-15 + 86 3.070808378210e-10 7.539527276163e-14 -1.906448816107e-12 3.014128482037e-16 1.496674723632e-11 1.915275156961e-12 -7.921518280562e-15 + 87 3.108724693385e-10 7.747674276828e-14 -1.988020477630e-12 3.084983417448e-16 1.453660214613e-11 1.869775751375e-12 -7.885215116341e-15 + 88 3.146968712586e-10 7.956364464141e-14 -2.070519531000e-12 3.156688480980e-16 1.412302532321e-11 1.825923244052e-12 -7.855181413823e-15 + 89 3.185537371471e-10 8.165422081681e-14 -2.153889314564e-12 3.229246772197e-16 1.372536205971e-11 1.783650742160e-12 -7.828729625160e-15 + 90 3.224424877527e-10 8.374666964135e-14 -2.238071399257e-12 3.302661571989e-16 1.334273138900e-11 1.742867437485e-12 -7.802880470866e-15 + 91 3.263622589717e-10 8.583914541686e-14 -2.323005594588e-12 3.376936347203e-16 1.297401774300e-11 1.703457717625e-12 -7.774354227927e-15 + 92 3.303118898143e-10 8.792975844403e-14 -2.408629954632e-12 3.452074755280e-16 1.261786260954e-11 1.665280277172e-12 -7.739562017917e-15 + 93 3.342902742859e-10 9.001660325238e-14 -2.494881654564e-12 3.528080726503e-16 1.227298692423e-11 1.628202673503e-12 -7.695431825003e-15 + 94 3.382975037096e-10 9.209784805162e-14 -2.581699758090e-12 3.604958714859e-16 1.193923183175e-11 1.592212869746e-12 -7.642047583206e-15 + 95 3.423338747582e-10 9.417165887749e-14 -2.669022879243e-12 3.682713493647e-16 1.161665975879e-11 1.557322902620e-12 -7.580392747528e-15 + 96 3.463995339025e-10 9.623617302949e-14 -2.756788366618e-12 3.761350086835e-16 1.130523387491e-11 1.523534535740e-12 -7.511553639816e-15 + 97 3.504944703719e-10 9.828949950163e-14 -2.844932321303e-12 3.840873774759e-16 1.100481428990e-11 1.490838857351e-12 -7.436722195071e-15 + 98 3.546185091161e-10 1.003297194133e-13 -2.933389614822e-12 3.921290099819e-16 1.071515425101e-11 1.459215878058e-12 -7.357198707761e-15 + 99 3.587713037658e-10 1.023548864398e-13 -3.022093907066e-12 4.002604872173e-16 1.043589634032e-11 1.428634128556e-12 -7.274394578132e-15 + 100 3.629523295941e-10 1.043630272437e-13 -3.110977664234e-12 4.084824175438e-16 1.016656867193e-11 1.399050257363e-12 -7.189835058519e-15 + 101 3.671608764775e-10 1.063521419050e-13 -3.199972176770e-12 4.167954372384e-16 9.906581089356e-12 1.370408628551e-12 -7.105161999657e-15 + 102 3.713960418572e-10 1.083202043523e-13 -3.289007577295e-12 4.252002110631e-16 9.655221362736e-12 1.342640919475e-12 -7.022136596991e-15 + 103 3.756567237000e-10 1.102651627935e-13 -3.378012858553e-12 4.336974328344e-16 9.411651386174e-12 1.315665718507e-12 -6.942642136992e-15 + 104 3.799418516588e-10 1.121849912666e-13 -3.466916449698e-12 4.422878058712e-16 9.175097196261e-12 1.289407660668e-12 -6.868279947646e-15 + 105 3.842511312767e-10 1.140778512952e-13 -3.555647995225e-12 4.509719801020e-16 8.945456451784e-12 1.263858644891e-12 -6.799089173356e-15 + 106 3.885843876600e-10 1.159419529752e-13 -3.644136850908e-12 4.597506074839e-16 8.722766308363e-12 1.239024174875e-12 -6.734658375116e-15 + 107 3.929413318873e-10 1.177755067852e-13 -3.732311570680e-12 4.686243617108e-16 8.507015272556e-12 1.214904374333e-12 -6.674515179875e-15 + 108 3.973215565895e-10 1.195767245793e-13 -3.820099930711e-12 4.775939385617e-16 8.298141529061e-12 1.191493799428e-12 -6.618124556567e-15 + 109 4.017245315275e-10 1.213438205794e-13 -3.907428953474e-12 4.866600562491e-16 8.096031267907e-12 1.168781251207e-12 -6.564887092135e-15 + 110 4.061495991713e-10 1.230750123679e-13 -3.994224931823e-12 4.958234557681e-16 7.900517011650e-12 1.146749588033e-12 -6.514137267563e-15 + 111 4.105959702788e-10 1.247685218801e-13 -4.080413453063e-12 5.050849012443e-16 7.711375942569e-12 1.125375538020e-12 -6.465141733899e-15 + 112 4.150627194745e-10 1.264225763970e-13 -4.165919423024e-12 5.144451802827e-16 7.528328229859e-12 1.104629511464e-12 -6.417097588285e-15 + 113 4.195487808281e-10 1.280354095376e-13 -4.250667090134e-12 5.239051043162e-16 7.351035356830e-12 1.084475413280e-12 -6.369130649984e-15 + 114 4.240529434331e-10 1.296052622518e-13 -4.334580069490e-12 5.334655089541e-16 7.179098448097e-12 1.064870455431e-12 -6.320293736409e-15 + 115 4.285738469858e-10 1.311303838124e-13 -4.417581366934e-12 5.431272543306e-16 7.012056596781e-12 1.045764969365e-12 -6.269564939147e-15 + 116 4.331101734371e-10 1.326090804397e-13 -4.499594351759e-12 5.528911995173e-16 6.849487924182e-12 1.027113288060e-12 -6.216065282859e-15 + 117 4.376612578347e-10 1.340398657575e-13 -4.580545757544e-12 5.627581214866e-16 6.691330274436e-12 1.008908294153e-12 -6.159745409621e-15 + 118 4.422265437911e-10 1.354213305789e-13 -4.660363093072e-12 5.727287869044e-16 6.537596550493e-12 9.911507395400e-13 -6.100779533706e-15 + 119 4.468053913973e-10 1.367520983092e-13 -4.738973758439e-12 5.828039773023e-16 6.388274714248e-12 9.738384628916e-13 -6.039353742404e-15 + 120 4.513970745346e-10 1.380308263603e-13 -4.816305077520e-12 5.929844891973e-16 6.243327022068e-12 9.569662999569e-13 -5.975666211778e-15 + 121 4.560007781874e-10 1.392562075639e-13 -4.892284330426e-12 6.032711342108e-16 6.102689260321e-12 9.405259938734e-13 -5.909927422415e-15 + 122 4.606155957556e-10 1.404269715854e-13 -4.966838785968e-12 6.136647391876e-16 5.966269980902e-12 9.245061054743e-13 -5.842360375178e-15 + 123 4.652405263665e-10 1.415418863377e-13 -5.039895734112e-12 6.241661463154e-16 5.833949736766e-12 9.088919235968e-13 -5.773200806959e-15 + 124 4.698744721875e-10 1.425997593946e-13 -5.111382518445e-12 6.347762132440e-16 5.705580317451e-12 8.936653753901e-13 -5.702697406430e-15 + 125 4.745162357384e-10 1.435994394048e-13 -5.181226568632e-12 6.454958132044e-16 5.580983984610e-12 8.788049366228e-13 -5.631112029797e-15 + 126 4.791645172037e-10 1.445398175055e-13 -5.249355432878e-12 6.563258351281e-16 5.459952707538e-12 8.642855419917e-13 -5.558719916552e-15 + 127 4.838179117448e-10 1.454198287359e-13 -5.315696810386e-12 6.672671837663e-16 5.342247398699e-12 8.500784954291e-13 -5.485809905223e-15 + 128 4.884749068125e-10 1.462384534511e-13 -5.380178583821e-12 6.783207798091e-16 5.227597149259e-12 8.361513804109e-13 -5.412684649130e-15 + 129 4.931340337657e-10 1.469947591283e-13 -5.442729557664e-12 6.894875327090e-16 5.115757458470e-12 8.224756553940e-13 -5.339617322648e-15 + 130 4.977943472417e-10 1.476880279664e-13 -5.503281695919e-12 7.007682555258e-16 5.006693767851e-12 8.090505727051e-13 -5.266715911982e-15 + 131 5.024549935391e-10 1.483176460210e-13 -5.561768192373e-12 7.121637409221e-16 4.900416709966e-12 7.958817262983e-13 -5.194044375351e-15 + 132 5.071150594570e-10 1.488830657528e-13 -5.618122823844e-12 7.236747875460e-16 4.796924580388e-12 7.829735674749e-13 -5.121664723327e-15 + 133 5.117735707125e-10 1.493838077298e-13 -5.672279987696e-12 7.353021999552e-16 4.696202995368e-12 7.703293701835e-13 -5.049636923241e-15 + 134 5.164294903560e-10 1.498194623310e-13 -5.724174739348e-12 7.470467885412e-16 4.598224549501e-12 7.579511963195e-13 -4.978018803609e-15 + 135 5.210817171885e-10 1.501896914480e-13 -5.773742829784e-12 7.589093694525e-16 4.502948473392e-12 7.458398610258e-13 -4.906865958535e-15 + 136 5.257290841780e-10 1.504942301887e-13 -5.820920743071e-12 7.708907645194e-16 4.410320291326e-12 7.339948979919e-13 -4.836231652133e-15 + 137 5.303703568758e-10 1.507328885793e-13 -5.865645733863e-12 7.829918011771e-16 4.320271478931e-12 7.224145247543e-13 -4.766166722938e-15 + 138 5.350042318329e-10 1.509055532676e-13 -5.907855864918e-12 7.952133123899e-16 4.232719120845e-12 7.110956079967e-13 -4.696719488321e-15 + 139 5.396293350169e-10 1.510121892254e-13 -5.947490044605e-12 8.075561365755e-16 4.147565568388e-12 7.000336288492e-13 -4.627935648903e-15 + 140 5.442442202282e-10 1.510528414512e-13 -5.984488064420e-12 8.200211175282e-16 4.064698097222e-12 6.892226481889e-13 -4.559858192971e-15 + 141 5.488473675166e-10 1.510276366733e-13 -6.018790636495e-12 8.326091043432e-16 3.983988565023e-12 6.786552719397e-13 -4.492527300888e-15 + 142 5.534371815976e-10 1.509367850519e-13 -6.050339431110e-12 8.453209513406e-16 3.905293069146e-12 6.683226163719e-13 -4.425980249513e-15 + 143 5.580119902695e-10 1.507805818826e-13 -6.079077114203e-12 8.581575179890e-16 3.828451604291e-12 6.582142734027e-13 -4.360251316611e-15 + 144 5.625701802967e-10 1.505594209195e-13 -6.104947931267e-12 8.711196184681e-16 3.753321610156e-12 6.483205360953e-13 -4.295362599094e-15 + 145 5.671106235042e-10 1.502738322335e-13 -6.127899444717e-12 8.842078649121e-16 3.679883064606e-12 6.386393956927e-13 -4.231295649334e-15 + 146 5.716322898759e-10 1.499244513407e-13 -6.147881039905e-12 8.974228084956e-16 3.608143148760e-12 6.291701716459e-13 -4.168016847848e-15 + 147 5.761341130730e-10 1.495120096704e-13 -6.164843434415e-12 9.107649880451e-16 3.538103141085e-12 6.199112918378e-13 -4.105486091886e-15 + 148 5.806149896400e-10 1.490373363344e-13 -6.178738718710e-12 9.242349296735e-16 3.469758269842e-12 6.108602708727e-13 -4.043656647624e-15 + 149 5.850737782116e-10 1.485013598969e-13 -6.189520396786e-12 9.378331464143e-16 3.403097565516e-12 6.020136883662e-13 -3.982475002363e-15 + 150 5.895092987191e-10 1.479051101437e-13 -6.197143426824e-12 9.515601378564e-16 3.338103713256e-12 5.933671672341e-13 -3.921880716718e-15 + 151 5.939203315969e-10 1.472497198518e-13 -6.201564261842e-12 9.654163897785e-16 3.274752905312e-12 5.849153519829e-13 -3.861806276819e-15 + 152 5.983056169893e-10 1.465364265590e-13 -6.202740890342e-12 9.794023737835e-16 3.213014693471e-12 5.766518869986e-13 -3.802176946499e-15 + 153 6.026638539568e-10 1.457665743333e-13 -6.200632876968e-12 9.935185469328e-16 3.152851841494e-12 5.685693948369e-13 -3.742910619497e-15 + 154 6.069936996827e-10 1.449416155425e-13 -6.195201403156e-12 1.007765351381e-15 3.094220177555e-12 5.606594545123e-13 -3.683917671646e-15 + 155 6.112937686796e-10 1.440631126237e-13 -6.186409307781e-12 1.022143214011e-15 3.037068446673e-12 5.529125797880e-13 -3.625100813073e-15 + 156 6.155626319962e-10 1.431327398529e-13 -6.174221127816e-12 1.036652546067e-15 2.981338163154e-12 5.453181974657e-13 -3.566354940389e-15 + 157 6.197988164235e-10 1.421522851142e-13 -6.158603138977e-12 1.051293742790e-15 2.926963463026e-12 5.378646256745e-13 -3.507566988888e-15 + 158 6.240008037014e-10 1.411236516697e-13 -6.139523396380e-12 1.066067183051e-15 2.873870956474e-12 5.305390521613e-13 -3.448615784740e-15 + 159 6.281670297256e-10 1.400488599289e-13 -6.116951775188e-12 1.080973228989e-15 2.821979580282e-12 5.233275125797e-13 -3.389371897187e-15 + 160 6.322958837538e-10 1.389300492181e-13 -6.090860011267e-12 1.096012225641e-15 2.771200450262e-12 5.162148687802e-13 -3.329697490736e-15 + 161 6.363858173577e-10 1.377694301550e-13 -6.061221581566e-12 1.111184463686e-15 2.721455072907e-12 5.091881382136e-13 -3.269481286118e-15 + 162 6.404356837733e-10 1.365691333244e-13 -6.028011248041e-12 1.126490064738e-15 2.672732099964e-12 5.022468585931e-13 -3.208747227842e-15 + 163 6.444444271838e-10 1.353313505401e-13 -5.991205550905e-12 1.141929085160e-15 2.625035334162e-12 4.953936025822e-13 -3.147555188659e-15 + 164 6.484109753866e-10 1.340583845661e-13 -5.950783004861e-12 1.157501551521e-15 2.578365758822e-12 4.886307028745e-13 -3.085966738719e-15 + 165 6.523342395049e-10 1.327526506591e-13 -5.906724139025e-12 1.173207460051e-15 2.532721474758e-12 4.819602459016e-13 -3.024045159295e-15 + 166 6.562131136993e-10 1.314166781105e-13 -5.859011536831e-12 1.189046776114e-15 2.488097637181e-12 4.753840655406e-13 -2.961855456511e-15 + 167 6.600464748791e-10 1.300531117891e-13 -5.807629875952e-12 1.205019433669e-15 2.444486392609e-12 4.689037368218e-13 -2.899464375066e-15 + 168 6.638331824138e-10 1.286647136826e-13 -5.752565968209e-12 1.221125334733e-15 2.401876815769e-12 4.625205696363e-13 -2.836940411962e-15 + 169 6.675720778447e-10 1.272543644408e-13 -5.693808799491e-12 1.237364348851e-15 2.360254846504e-12 4.562356024437e-13 -2.774353830224e-15 + 170 6.712619845961e-10 1.258250649171e-13 -5.631349569665e-12 1.253736312556e-15 2.319603226675e-12 4.500495959799e-13 -2.711776672637e-15 + 171 6.749017076873e-10 1.243799377111e-13 -5.565181732491e-12 1.270241028835e-15 2.279901437071e-12 4.439630269643e-13 -2.649282775459e-15 + 172 6.784900334432e-10 1.229222287106e-13 -5.495301035537e-12 1.286878266595e-15 2.241125634311e-12 4.379760818080e-13 -2.586947782157e-15 + 173 6.820257292067e-10 1.214553086345e-13 -5.421705560095e-12 1.303647760127e-15 2.203248587752e-12 4.320886503212e-13 -2.524849157129e-15 + 174 6.855075430496e-10 1.199826745742e-13 -5.344395761091e-12 1.320549208569e-15 2.166239616390e-12 4.263003194207e-13 -2.463066199427e-15 + 175 6.889342034841e-10 1.185079515364e-13 -5.263374507004e-12 1.337582275374e-15 2.130064525770e-12 4.206103668379e-13 -2.401680056489e-15 + 176 6.923044191747e-10 1.170348939853e-13 -5.178647119776e-12 1.354746587773e-15 2.094685544888e-12 4.150177548261e-13 -2.340773737860e-15 + 177 6.956168786491e-10 1.155673873846e-13 -5.090221414730e-12 1.372041736237e-15 2.060061263099e-12 4.095211238684e-13 -2.280432128921e-15 + 178 6.988702500100e-10 1.141094497402e-13 -4.998107740481e-12 1.389467273949e-15 2.026146567019e-12 4.041187863853e-13 -2.220742004613e-15 + 179 7.020631806466e-10 1.126652331419e-13 -4.902319018854e-12 1.407022716261e-15 1.992892577435e-12 3.988087204423e-13 -2.161792043163e-15 + 180 7.051943865907e-10 1.112388762598e-13 -4.802869413228e-12 1.424707520222e-15 1.960256441146e-12 3.935890337692e-13 -2.103655889825e-15 + 181 7.082629291318e-10 1.098340454991e-13 -4.699770131831e-12 1.442521022448e-15 1.928231708685e-12 3.884594102079e-13 -2.046339813981e-15 + 182 7.112679596867e-10 1.084543602489e-13 -4.593033366733e-12 1.460462495276e-15 1.896820255732e-12 3.834197664248e-13 -1.989830908068e-15 + 183 7.142086321722e-10 1.071035396373e-13 -4.482673670043e-12 1.478531165649e-15 1.866022618557e-12 3.784697874034e-13 -1.934113615313e-15 + 184 7.170841030465e-10 1.057854035247e-13 -4.368707988775e-12 1.496726214517e-15 1.835837967224e-12 3.736089218842e-13 -1.879169681029e-15 + 185 7.198935313511e-10 1.045038734972e-13 -4.251155699707e-12 1.515046776220e-15 1.806264078793e-12 3.688363778051e-13 -1.824978103910e-15 + 186 7.226360787522e-10 1.032629738594e-13 -4.130038644248e-12 1.533491937885e-15 1.777297310530e-12 3.641511177408e-13 -1.771515087325e-15 + 187 7.253109095826e-10 1.020668326284e-13 -4.005381163298e-12 1.552060738814e-15 1.748932573100e-12 3.595518543430e-13 -1.718753990614e-15 + 188 7.279171908829e-10 1.009196825264e-13 -3.877210132111e-12 1.570752169875e-15 1.721163303781e-12 3.550370457803e-13 -1.666665280382e-15 + 189 7.304540924440e-10 9.982586197456e-14 -3.745554995155e-12 1.589565172898e-15 1.693981439659e-12 3.506048911780e-13 -1.615216481795e-15 + 190 7.329207868478e-10 9.878981608580e-14 -3.610447800978e-12 1.608498640059e-15 1.667377390838e-12 3.462533260583e-13 -1.564372129874e-15 + 191 7.353164495095e-10 9.781609765838e-14 -3.471923237071e-12 1.627551413277e-15 1.641340013637e-12 3.419800177797e-13 -1.514093720793e-15 + 192 7.376402587190e-10 9.690936816913e-14 -3.330018664726e-12 1.646722283605e-15 1.615856583799e-12 3.377823609776e-13 -1.464339663170e-15 + 193 7.398913956824e-10 9.607439876667e-14 -3.184774153903e-12 1.666009990616e-15 1.590912769693e-12 3.336574730037e-13 -1.415065229363e-15 + 194 7.420690445643e-10 9.531607126476e-14 -3.036232518088e-12 1.685413221801e-15 1.566492605515e-12 3.296021893662e-13 -1.366222506767e-15 + 195 7.441723925286e-10 9.463937913552e-14 -2.884439349162e-12 1.704930611956e-15 1.542578464494e-12 3.256130591695e-13 -1.317760349108e-15 + 196 7.462006297807e-10 9.404942850279e-14 -2.729443052255e-12 1.724560742576e-15 1.519151032093e-12 3.216863405545e-13 -1.269624327736e-15 + 197 7.481529496090e-10 9.355143913536e-14 -2.571294880617e-12 1.744302141242e-15 1.496189279217e-12 3.178179961379e-13 -1.221756682923e-15 + 198 7.500285484267e-10 9.315074544026e-14 -2.410048970475e-12 1.764153281018e-15 1.473670435411e-12 3.140036884528e-13 -1.174096275158e-15 + 199 7.518266258130e-10 9.285279745608e-14 -2.245762375896e-12 1.784112579838e-15 1.451569962067e-12 3.102387753883e-13 -1.126578536438e-15 + 200 7.535463845555e-10 9.266316184619e-14 -2.078495103651e-12 1.804178399899e-15 1.429861525626e-12 3.065183056294e-13 -1.079135421568e-15 + 201 7.551870884672e-10 9.258725637801e-14 -1.908307026862e-12 1.824349078996e-15 1.408522156005e-12 3.028380023806e-13 -1.031710995209e-15 + 202 7.567482403558e-10 9.262953015888e-14 -1.735248307756e-12 1.844623028286e-15 1.387548188225e-12 2.991973023269e-13 -9.843095350730e-16 + 203 7.582294168627e-10 9.279422669088e-14 -1.559368357230e-12 1.864998640341e-15 1.366940409159e-12 2.955965252077e-13 -9.369507748689e-16 + 204 7.596302120398e-10 9.308564532612e-14 -1.380718920058e-12 1.885474257323e-15 1.346698963264e-12 2.920359034154e-13 -8.896545748977e-16 + 205 7.609502375628e-10 9.350814147234e-14 -1.199354100523e-12 1.906048170467e-15 1.326823341101e-12 2.885155803564e-13 -8.424409195617e-16 + 206 7.621891229427e-10 9.406612679850e-14 -1.015330388056e-12 1.926718619566e-15 1.307312367872e-12 2.850356088113e-13 -7.953299148707e-16 + 207 7.633465157389e-10 9.476406944042e-14 -8.287066828763e-13 1.947483792462e-15 1.288164191944e-12 2.815959492964e-13 -7.483417859491e-16 + 208 7.644220817714e-10 9.560649420630e-14 -6.395443216264e-13 1.968341824526e-15 1.269376273376e-12 2.781964684240e-13 -7.014968745424e-16 + 209 7.654155053332e-10 9.659798278240e-14 -4.479071030108e-13 1.989290798146e-15 1.250945372453e-12 2.748369372638e-13 -6.548156365242e-16 + 210 7.663264894025e-10 9.774317393856e-14 -2.538613134332e-13 2.010328742212e-15 1.232867538208e-12 2.715170297029e-13 -6.083186394027e-16 + 211 7.671547558556e-10 9.904676373386e-14 -5.747575263463e-14 2.031453631604e-15 1.215138096957e-12 2.682363208074e-13 -5.620265598278e-16 + 212 7.679000456789e-10 1.005135057222e-13 1.411782406693e-13 2.052663386674e-15 1.197751640820e-12 2.649942851827e-13 -5.159601810979e-16 + 213 7.685621191814e-10 1.021482111578e-13 3.420267631504e-13 2.073955872735e-15 1.180702016258e-12 2.617902953345e-13 -4.701403906664e-16 + 214 7.691407562072e-10 1.039557492010e-13 5.449933212304e-13 2.095328899546e-15 1.163982312593e-12 2.586236200298e-13 -4.245881776486e-16 + 215 7.696357563478e-10 1.059410471237e-13 7.499988054434e-13 2.116780220793e-15 1.147584850544e-12 2.554934226574e-13 -3.793246303287e-16 + 216 7.700469391547e-10 1.081090905149e-13 9.569614647981e-13 2.138307533584e-15 1.131501170749e-12 2.523987595888e-13 -3.343709336665e-16 + 217 7.703741443516e-10 1.104649234866e-13 1.165796881140e-12 2.159908477926e-15 1.115722022297e-12 2.493385785392e-13 -2.897483668039e-16 + 218 7.706172320471e-10 1.130136488789e-13 1.376417943514e-12 2.181580636216e-15 1.100237351258e-12 2.463117169279e-13 -2.454783005722e-16 + 219 7.707760829465e-10 1.157604284663e-13 1.588734822526e-12 2.203321532722e-15 1.085036289206e-12 2.433169002398e-13 -2.015821949985e-16 + 220 7.708505985650e-10 1.187104831624e-13 1.802654944707e-12 2.225128633075e-15 1.070107141753e-12 2.403527403854e-13 -1.580815968125e-16 + 221 7.708407014397e-10 1.218690932264e-13 2.018082966873e-12 2.246999343748e-15 1.055437377076e-12 2.374177340624e-13 -1.149981369537e-16 + 222 7.707463353419e-10 1.252415984680e-13 2.234920750490e-12 2.268931011549e-15 1.041013614442e-12 2.345102611159e-13 -7.235352807757e-17 + 223 7.705674654898e-10 1.288333984533e-13 2.453067336033e-12 2.290920923097e-15 1.026821612741e-12 2.316285828995e-13 -3.016956206290e-17 + 224 7.703040977341e-10 1.326495855227e-13 2.672424247472e-12 2.312966412704e-15 1.012849025739e-12 2.287712864554e-13 1.153538290438e-17 + 225 7.699563370462e-10 1.366938172044e-13 2.892911837708e-12 2.335065194748e-15 9.990938884120e-13 2.259386521773e-13 5.275706540830e-17 + 226 7.695243332018e-10 1.409693716923e-13 3.114453944559e-12 2.357215051676e-15 9.855566540985e-13 2.231313709188e-13 9.349535207058e-17 + 227 7.690082624025e-10 1.454795078522e-13 3.336972642240e-12 2.379413727277e-15 9.722374719642e-13 2.203501055035e-13 1.337507998451e-16 + 228 7.684083275324e-10 1.502274645526e-13 3.560388228411e-12 2.401658926434e-15 9.591361821181e-13 2.175954901481e-13 1.735246668217e-16 + 229 7.677247584166e-10 1.552164599966e-13 3.784619211238e-12 2.423948314861e-15 9.462523107288e-13 2.148681298844e-13 2.128189230300e-16 + 230 7.669578120781e-10 1.604496910527e-13 4.009582296440e-12 2.446279518848e-15 9.335850651399e-13 2.121685999813e-13 2.516362612427e-16 + 231 7.661077729956e-10 1.659303325869e-13 4.235192374343e-12 2.468650125010e-15 9.211333289864e-13 2.094974453675e-13 2.899801077801e-16 + 232 7.651749533614e-10 1.716615367930e-13 4.461362506937e-12 2.491057680024e-15 9.088956573101e-13 2.068551800539e-13 3.278546333130e-16 + 233 7.641596933384e-10 1.776464325249e-13 4.688003914924e-12 2.513499690376e-15 8.968702716759e-13 2.042422865552e-13 3.652647636671e-16 + 234 7.630623613182e-10 1.838881246276e-13 4.915025964773e-12 2.535973622104e-15 8.850550552875e-13 2.016592153128e-13 4.022161906261e-16 + 235 7.618833541784e-10 1.903896932681e-13 5.142336155777e-12 2.558476900544e-15 8.734475481034e-13 1.991063841171e-13 4.387153827363e-16 + 236 7.606230975405e-10 1.971541932674e-13 5.369840107099e-12 2.581006910071e-15 8.620449419528e-13 1.965841775293e-13 4.747695961093e-16 + 237 7.592820460270e-10 2.041846534317e-13 5.597441544829e-12 2.603560993841e-15 8.508440756513e-13 1.940929463042e-13 5.103868852268e-16 + 238 7.578606835193e-10 2.114840758833e-13 5.825042289039e-12 2.626136453542e-15 8.398414301173e-13 1.916330068122e-13 5.455761137433e-16 + 239 7.563595234155e-10 2.190554353925e-13 6.052542240832e-12 2.648730549128e-15 8.290331234873e-13 1.892046404618e-13 5.803469652908e-16 + 240 7.547791088873e-10 2.269016787085e-13 6.279839369397e-12 2.671340498573e-15 8.184149062322e-13 1.868080931216e-13 6.147099542817e-16 + 241 7.531200131384e-10 2.350257238910e-13 6.506829699062e-12 2.693963477607e-15 8.079821562733e-13 1.844435745429e-13 6.486764367132e-16 + 242 7.513828396615e-10 2.434304596416e-13 6.733407296349e-12 2.716596619461e-15 7.977298740977e-13 1.821112577817e-13 6.822586209707e-16 + 243 7.495682224963e-10 2.521187446348e-13 6.959464257023e-12 2.739237014614e-15 7.876526778747e-13 1.798112786212e-13 7.154695786314e-16 + 244 7.476768264865e-10 2.610934068496e-13 7.184890693149e-12 2.761881710536e-15 7.777447985715e-13 1.775437349941e-13 7.483232552685e-16 + 245 7.457093475381e-10 2.703572429009e-13 7.409574720141e-12 2.784527711428e-15 7.680000750692e-13 1.753086864049e-13 7.808344812545e-16 + 246 7.436665128766e-10 2.799130173706e-13 7.633402443821e-12 2.807171977970e-15 7.584119492786e-13 1.731061533517e-13 8.130189825653e-16 + 247 7.415490813046e-10 2.897634621392e-13 7.856257947465e-12 2.829811427064e-15 7.489734612560e-13 1.709361167495e-13 8.448933915836e-16 + 248 7.393578434594e-10 2.999112757168e-13 8.078023278864e-12 2.852442931574e-15 7.396772443196e-13 1.687985173513e-13 8.764752579027e-16 + 249 7.370936220706e-10 3.103591225749e-13 8.298578437368e-12 2.875063320075e-15 7.305155201646e-13 1.666932551713e-13 9.077830591305e-16 + 250 7.347572442368e-10 3.211092745545e-13 8.517808692775e-12 2.897669561896e-15 7.214815823774e-13 1.646201861684e-13 9.388315994395e-16 + 251 7.323494559489e-10 3.321625135219e-13 8.735627037098e-12 2.920259334625e-15 7.125743520006e-13 1.625791132778e-13 9.696178884262e-16 + 252 7.298710031330e-10 3.435191640732e-13 8.951953003612e-12 2.942830488865e-15 7.037940754383e-13 1.605697937396e-13 1.000134468133e-15 + 253 7.273226593908e-10 3.551794444119e-13 9.166705452710e-12 2.965380865975e-15 6.951408576927e-13 1.585919412107e-13 1.030373953932e-15 + 254 7.247052262034e-10 3.671434649950e-13 9.379802572974e-12 2.987908298171e-15 6.866146603267e-13 1.566452251822e-13 1.060329036506e-15 + 255 7.220195331352e-10 3.794112271807e-13 9.591161882251e-12 3.010410608624e-15 6.782152994258e-13 1.547292703962e-13 1.089992483833e-15 + 256 7.192664380386e-10 3.919826218744e-13 9.800700228727e-12 3.032885611554e-15 6.699424435607e-13 1.528436562627e-13 1.119357143170e-15 + 257 7.164468272575e-10 4.048574281763e-13 1.000833379200e-11 3.055331112334e-15 6.617956117491e-13 1.509879162770e-13 1.148415943037e-15 + 258 7.135616158316e-10 4.180353120280e-13 1.021397808416e-11 3.077744907584e-15 6.537741714184e-13 1.491615374366e-13 1.177161895200e-15 + 259 7.106117477004e-10 4.315158248592e-13 1.041754795085e-11 3.100124785270e-15 6.458773363677e-13 1.473639596580e-13 1.205588096653e-15 + 260 7.075981959074e-10 4.452984022349e-13 1.061895757235e-11 3.122468524802e-15 6.381041647299e-13 1.455945751944e-13 1.233687731604e-15 + 261 7.045219628042e-10 4.593823625018e-13 1.081812046467e-11 3.144773897135e-15 6.304535569344e-13 1.438527280521e-13 1.261454073456e-15 + 262 7.013840802542e-10 4.737669054358e-13 1.101494948056e-11 3.167038664863e-15 6.229242536688e-13 1.421377134078e-13 1.288880486794e-15 + 263 6.981856098374e-10 4.884511108881e-13 1.120935681067e-11 3.189260582318e-15 6.155148338417e-13 1.404487770256e-13 1.315960429364e-15 + 264 6.949276430536e-10 5.034339374330e-13 1.140125398457e-11 3.211437395670e-15 6.082237125444e-13 1.387851146743e-13 1.342687454061e-15 + 265 6.916113015273e-10 5.187142210137e-13 1.159055187181e-11 3.233566843025e-15 6.010491390136e-13 1.371458715442e-13 1.369055210907e-15 + 266 6.882377372110e-10 5.342906735900e-13 1.177716068307e-11 3.255646654521e-15 5.939891945933e-13 1.355301416640e-13 1.395057449041e-15 + 267 6.848081325901e-10 5.501618817849e-13 1.196098997113e-11 3.277674552426e-15 5.870417906973e-13 1.339369673185e-13 1.420688018697e-15 + 268 6.813237008863e-10 5.663263055314e-13 1.214194863204e-11 3.299648251241e-15 5.802046667713e-13 1.323653384648e-13 1.445940873192e-15 + 269 6.777856862619e-10 5.827822767192e-13 1.231994490613e-11 3.321565457791e-15 5.734753882552e-13 1.308141921501e-13 1.470810070906e-15 + 270 6.741953640241e-10 5.995279978421e-13 1.249488637911e-11 3.343423871328e-15 5.668513445453e-13 1.292824119281e-13 1.495289777266e-15 + 271 6.705540408288e-10 6.165615406444e-13 1.266667998316e-11 3.365221183628e-15 5.603297469565e-13 1.277688272767e-13 1.519374266731e-15 + 272 6.668630548847e-10 6.338808447677e-13 1.283523199795e-11 3.386955079089e-15 5.539076266848e-13 1.262722130145e-13 1.543057924775e-15 + 273 6.631237761575e-10 6.514837163983e-13 1.300044805178e-11 3.408623234828e-15 5.475818327692e-13 1.247912887182e-13 1.566335249870e-15 + 274 6.593376065740e-10 6.693678269136e-13 1.316223312260e-11 3.430223320781e-15 5.413490300543e-13 1.233247181396e-13 1.589200855470e-15 + 275 6.555059802259e-10 6.875307115291e-13 1.332049153913e-11 3.451752999800e-15 5.352056971520e-13 1.218711086226e-13 1.611649471992e-15 + 276 6.516303635742e-10 7.059697679451e-13 1.347512698189e-11 3.473209927751e-15 5.291481244045e-13 1.204290105200e-13 1.633675948805e-15 + 277 6.477122556533e-10 7.246822549941e-13 1.362604248431e-11 3.494591753614e-15 5.231724118458e-13 1.189969166110e-13 1.655275256208e-15 + 278 6.437531882747e-10 7.436652912869e-13 1.377314043378e-11 3.515896119577e-15 5.172744671646e-13 1.175732615182e-13 1.676442487417e-15 + 279 6.397546442436e-10 7.629157508671e-13 1.391633029920e-11 3.537120869263e-15 5.114507802441e-13 1.161567439508e-13 1.697173749468e-15 + 280 6.357178068984e-10 7.824299469720e-13 1.405555225445e-11 3.558264684144e-15 5.057007953943e-13 1.147473131155e-13 1.717468882944e-15 + 281 6.316437979926e-10 8.022039292515e-13 1.419075478094e-11 3.579326480284e-15 5.000246580520e-13 1.133452322749e-13 1.737328887021e-15 + 282 6.275337585916e-10 8.222335837807e-13 1.432188706423e-11 3.600305203608e-15 4.944224484327e-13 1.119507604373e-13 1.756755046567e-15 + 283 6.233888491508e-10 8.425146315491e-13 1.444889900697e-11 3.621199830314e-15 4.888941806851e-13 1.105641522697e-13 1.775748935494e-15 + 284 6.192102495939e-10 8.630426269486e-13 1.457174124188e-11 3.642009367294e-15 4.834398020464e-13 1.091856580108e-13 1.794312420106e-15 + 285 6.149991593909e-10 8.838129562628e-13 1.469036514467e-11 3.662732852550e-15 4.780591919976e-13 1.078155233842e-13 1.812447662448e-15 + 286 6.107567976363e-10 9.048208361552e-13 1.480472284697e-11 3.683369355613e-15 4.727521614185e-13 1.064539895106e-13 1.830157123655e-15 + 287 6.064844031271e-10 9.260613121582e-13 1.491476724931e-11 3.703917977961e-15 4.675184517430e-13 1.051012928216e-13 1.847443567300e-15 + 288 6.021832344412e-10 9.475292571614e-13 1.502045203402e-11 3.724377853433e-15 4.623577341141e-13 1.037576649721e-13 1.864310062745e-15 + 289 5.978545700151e-10 9.692193699005e-13 1.512173167820e-11 3.744748148653e-15 4.572696085390e-13 1.024233327534e-13 1.880759988488e-15 + 290 5.934997082226e-10 9.911261734460e-13 1.521856146665e-11 3.765028063445e-15 4.522536030443e-13 1.010985180063e-13 1.896797035514e-15 + 291 5.891199674525e-10 1.013244013692e-12 1.531089750484e-11 3.785216831248e-15 4.473091728314e-13 9.978343753380e-14 1.912425210642e-15 + 292 5.847166861869e-10 1.035567057843e-12 1.539869673180e-11 3.805313719538e-15 4.424356994312e-13 9.847830301410e-14 1.927648839873e-15 + 293 5.802912230794e-10 1.058089292907e-12 1.548191693311e-11 3.825318030244e-15 4.376324898597e-13 9.718332091369e-14 1.942472571744e-15 + 294 5.758449570330e-10 1.080804524180e-12 1.556051675383e-11 3.845229100167e-15 4.328987757725e-13 9.589869240020e-14 1.956901380671e-15 + 295 5.713792872785e-10 1.103706373734e-12 1.563445571144e-11 3.865046301395e-15 4.282337126208e-13 9.462461325533e-14 1.970940570303e-15 + 296 5.668956334525e-10 1.126788278911e-12 1.570369420877e-11 3.884769041725e-15 4.236363788058e-13 9.336127378785e-14 1.984595776865e-15 + 297 5.623954356756e-10 1.150043490807e-12 1.576819354695e-11 3.904396765074e-15 4.191057748344e-13 9.210885874648e-14 1.997872972515e-15 + 298 5.578801546306e-10 1.173465072761e-12 1.582791593838e-11 3.923928951908e-15 4.146408224738e-13 9.086754723290e-14 2.010778468684e-15 + 299 5.533512716402e-10 1.197045898845e-12 1.588282451964e-11 3.943365119647e-15 4.102403639071e-13 8.963751261467e-14 2.023318919434e-15 + 300 5.488102887459e-10 1.220778652353e-12 1.593288336443e-11 3.962704823092e-15 4.059031608884e-13 8.841892243816e-14 2.035501324798e-15 + 301 5.442587287854e-10 1.244655824289e-12 1.597805749654e-11 3.981947654840e-15 4.016278938975e-13 8.721193834155e-14 2.047333034136e-15 + 302 5.396981354712e-10 1.268669711855e-12 1.601831290277e-11 4.001093245700e-15 3.974131612957e-13 8.601671596771e-14 2.058821749482e-15 + 303 5.351300734686e-10 1.292812416941e-12 1.605361654589e-11 4.020141265113e-15 3.932574784805e-13 8.483340487720e-14 2.069975528890e-15 + 304 5.305561284737e-10 1.317075844612e-12 1.608393637757e-11 4.039091421571e-15 3.891592770407e-13 8.366214846116e-14 2.080802789786e-15 + 305 5.259779072918e-10 1.341451701598e-12 1.610924135131e-11 4.057943463029e-15 3.851169039119e-13 8.250308385435e-14 2.091312312318e-15 + 306 5.213970379152e-10 1.365931494781e-12 1.612950143542e-11 4.076697177331e-15 3.811286205314e-13 8.135634184798e-14 2.101513242702e-15 + 307 5.168151696019e-10 1.390506529688e-12 1.614468762595e-11 4.095352392621e-15 3.771926019935e-13 8.022204680275e-14 2.111415096570e-15 + 308 5.122339729529e-10 1.415167908974e-12 1.615477195958e-11 4.113908977765e-15 3.733069362042e-13 7.910031656177e-14 2.121027762325e-15 + 309 5.076551399911e-10 1.439906530914e-12 1.615972752665e-11 4.132366842767e-15 3.694696230371e-13 7.799126236347e-14 2.130361504484e-15 + 310 5.030803842392e-10 1.464713087891e-12 1.615952848405e-11 4.150725939187e-15 3.656785734878e-13 7.689498875459e-14 2.139426967029e-15 + 311 4.985114407975e-10 1.489578064883e-12 1.615415006817e-11 4.168986260557e-15 3.619316088297e-13 7.581159350311e-14 2.148235176756e-15 + 312 4.939499481825e-10 1.514492224247e-12 1.614357300438e-11 4.187147931964e-15 3.582268696967e-13 7.474115547800e-14 2.156795408977e-15 + 313 4.893970876210e-10 1.539448088018e-12 1.612779693516e-11 4.205211482513e-15 3.545640660452e-13 7.368369784534e-14 2.165108668304e-15 + 314 4.848539271717e-10 1.564438521431e-12 1.610682764031e-11 4.223177586318e-15 3.509432835398e-13 7.263922299446e-14 2.173173911916e-15 + 315 4.803215383896e-10 1.589456251927e-12 1.608067271487e-11 4.241046975009e-15 3.473645785143e-13 7.160772431573e-14 2.180990160656e-15 + 316 4.758009962586e-10 1.614493868232e-12 1.604934158745e-11 4.258820438261e-15 3.438279776302e-13 7.058918609876e-14 2.188556499753e-15 + 317 4.712933791248e-10 1.639543819448e-12 1.601284553859e-11 4.276498824316e-15 3.403334775361e-13 6.958358343053e-14 2.195872079544e-15 + 318 4.667997686289e-10 1.664598414135e-12 1.597119771909e-11 4.294083040515e-15 3.368810445265e-13 6.859088209357e-14 2.202936116195e-15 + 319 4.623212496392e-10 1.689649819402e-12 1.592441316836e-11 4.311574053825e-15 3.334706142001e-13 6.761103846413e-14 2.209747892427e-15 + 320 4.578589101846e-10 1.714690059990e-12 1.587250883275e-11 4.328972891364e-15 3.301020911194e-13 6.664399941030e-14 2.216306758234e-15 + 321 4.534138413871e-10 1.739711017361e-12 1.581550358395e-11 4.346280640929e-15 3.267753484691e-13 6.568970219021e-14 2.222612131607e-15 + 322 4.489871373949e-10 1.764704428778e-12 1.575341823725e-11 4.363498451527e-15 3.234902277151e-13 6.474807435019e-14 2.228663499257e-15 + 323 4.445798953152e-10 1.789661886401e-12 1.568627556998e-11 4.380627533895e-15 3.202465382633e-13 6.381903362288e-14 2.234460417334e-15 + 324 4.401932151472e-10 1.814574836363e-12 1.561410033976e-11 4.397669161037e-15 3.170440571187e-13 6.290248782546e-14 2.240002512154e-15 + 325 4.358281997143e-10 1.839434577864e-12 1.553691930293e-11 4.414624668743e-15 3.138825285440e-13 6.199833475776e-14 2.245289480918e-15 + 326 4.314859545980e-10 1.864232262253e-12 1.545476123283e-11 4.431495456119e-15 3.107616637185e-13 6.110646210045e-14 2.250321092435e-15 + 327 4.271675880696e-10 1.888958892115e-12 1.536765693818e-11 4.448282986118e-15 3.076811403972e-13 6.022674731317e-14 2.255097187843e-15 + 328 4.228742110239e-10 1.913605320360e-12 1.527563928144e-11 4.464988786062e-15 3.046406025694e-13 5.935905753273e-14 2.259617681335e-15 + 329 4.186069369118e-10 1.938162249303e-12 1.517874319710e-11 4.481614448171e-15 3.016396601176e-13 5.850324947123e-14 2.263882560875e-15 + 330 4.143668816729e-10 1.962620229757e-12 1.507700571008e-11 4.498161630095e-15 2.986778884765e-13 5.765916931425e-14 2.267891888927e-15 + 331 4.101551636685e-10 1.986969660116e-12 1.497046595404e-11 4.514632055434e-15 2.957548282918e-13 5.682665261899e-14 2.271645803173e-15 + 332 4.059729036147e-10 2.011200785440e-12 1.485916518974e-11 4.531027514269e-15 2.928699850791e-13 5.600552421244e-14 2.275144517236e-15 + 333 4.018212245147e-10 2.035303696544e-12 1.474314682339e-11 4.547349863691e-15 2.900228288826e-13 5.519559808956e-14 2.278388321402e-15 + 334 3.977012515922e-10 2.059268329083e-12 1.462245642500e-11 4.563601028326e-15 2.872127939341e-13 5.439667731139e-14 2.281377583344e-15 + 335 3.936141122238e-10 2.083084462637e-12 1.449714174668e-11 4.579783000862e-15 2.844392783121e-13 5.360855390326e-14 2.284112748841e-15 + 336 3.895609358723e-10 2.106741719799e-12 1.436725274106e-11 4.595897842579e-15 2.817016436002e-13 5.283100875292e-14 2.286594342505e-15 + 337 3.855428540190e-10 2.130229565261e-12 1.423284157956e-11 4.611947683873e-15 2.789992145462e-13 5.206381150872e-14 2.288822968498e-15 + 338 3.815610000969e-10 2.153537304900e-12 1.409396267080e-11 4.627934724787e-15 2.763312787210e-13 5.130672047775e-14 2.290799311257e-15 + 339 3.776165094237e-10 2.176654084862e-12 1.395067267888e-11 4.643861235535e-15 2.736970861774e-13 5.055948252403e-14 2.292524136215e-15 + 340 3.737105191339e-10 2.199568890652e-12 1.380303054179e-11 4.659729557031e-15 2.710958491091e-13 4.982183296664e-14 2.293998290526e-15 + 341 3.698441681128e-10 2.222270546218e-12 1.365109748972e-11 4.675542101419e-15 2.685267415093e-13 4.909349547789e-14 2.295222703784e-15 + 342 3.660185969281e-10 2.244747713039e-12 1.349493706339e-11 4.691301352593e-15 2.659888988298e-13 4.837418198148e-14 2.296198388747e-15 + 343 3.622349477637e-10 2.266988889206e-12 1.333461513245e-11 4.707009866732e-15 2.634814176398e-13 4.766359255068e-14 2.296926442057e-15 + 344 3.584943643521e-10 2.288982408517e-12 1.317019991377e-11 4.722670272824e-15 2.610033552847e-13 4.696141530646e-14 2.297408044966e-15 + 345 3.547979919073e-10 2.310716439554e-12 1.300176198980e-11 4.738285273195e-15 2.585537295451e-13 4.626732631566e-14 2.297644464054e-15 + 346 3.511469770575e-10 2.332178984777e-12 1.282937432693e-11 4.753857644032e-15 2.561315182955e-13 4.558098948916e-14 2.297637051955e-15 + 347 3.475424677785e-10 2.353357879604e-12 1.265311229383e-11 4.769390235916e-15 2.537356591632e-13 4.490205648003e-14 2.297387248077e-15 + 348 3.439856133258e-10 2.374240791500e-12 1.247305367980e-11 4.784885974347e-15 2.513650491874e-13 4.423016658171e-14 2.296896579324e-15 + 349 3.404774646618e-10 2.394816349858e-12 1.228927491155e-11 4.800347665147e-15 2.490187481852e-13 4.356501520778e-14 2.296166523451e-15 + 350 3.370186713092e-10 2.415077589292e-12 1.210183949274e-11 4.815777400679e-15 2.466965988713e-13 4.290656267919e-14 2.295198091383e-15 + 351 3.336097717737e-10 2.435018647579e-12 1.191080912018e-11 4.831177129996e-15 2.443986318287e-13 4.225483391009e-14 2.293992228959e-15 + 352 3.302512917500e-10 2.454633647968e-12 1.171624745663e-11 4.846548852076e-15 2.421248639847e-13 4.160985057437e-14 2.292549953322e-15 + 353 3.269437439570e-10 2.473916699375e-12 1.151822014537e-11 4.861894616157e-15 2.398752984700e-13 4.097163107122e-14 2.290872353506e-15 + 354 3.236876279727e-10 2.492861896583e-12 1.131679482484e-11 4.877216522071e-15 2.376499244776e-13 4.034019049064e-14 2.288960591024e-15 + 355 3.204834300690e-10 2.511463320435e-12 1.111204114323e-11 4.892516720582e-15 2.354487171219e-13 3.971554057900e-14 2.286815900452e-15 + 356 3.173316230474e-10 2.529715038036e-12 1.090403077311e-11 4.907797413718e-15 2.332716372979e-13 3.909768970454e-14 2.284439590022e-15 + 357 3.142326660736e-10 2.547611102949e-12 1.069283742603e-11 4.923060855113e-15 2.311186315396e-13 3.848664282295e-14 2.281833042202e-15 + 358 3.111870045128e-10 2.565145555387e-12 1.047853686713e-11 4.938309350335e-15 2.289896318795e-13 3.788240144286e-14 2.278997714291e-15 + 359 3.081950697649e-10 2.582312422417e-12 1.026120692974e-11 4.953545257229e-15 2.268845557075e-13 3.728496359141e-14 2.275935138999e-15 + 360 3.052572790991e-10 2.599105718154e-12 1.004092753003e-11 4.968770986248e-15 2.248033056297e-13 3.669432377976e-14 2.272646925039e-15 + 361 3.023740354896e-10 2.615519443958e-12 9.817780681566e-12 4.983989000787e-15 2.227457693274e-13 3.611047296865e-14 2.269134757714e-15 + 362 2.995457274503e-10 2.631547588629e-12 9.591850509965e-12 4.999201817528e-15 2.207118194165e-13 3.553339853390e-14 2.265400399502e-15 + 363 2.967727288700e-10 2.647184128611e-12 9.363223267481e-12 5.014412006762e-15 2.187013133058e-13 3.496308423199e-14 2.261445690645e-15 + 364 2.940553988476e-10 2.662423028181e-12 9.131987347625e-12 5.029622192739e-15 2.167140930567e-13 3.439951016555e-14 2.257272549734e-15 + 365 2.913940815269e-10 2.677258239650e-12 8.898233299775e-12 5.044835053991e-15 2.147499852417e-13 3.384265274892e-14 2.252882974300e-15 + 366 2.887891059320e-10 2.691683703562e-12 8.662053843783e-12 5.060053323677e-15 2.128088008034e-13 3.329248467368e-14 2.248279041399e-15 + 367 2.862407858021e-10 2.705693348886e-12 8.423543884590e-12 5.075279789913e-15 2.108903349138e-13 3.274897487419e-14 2.243462908200e-15 + 368 2.837494194270e-10 2.719281093218e-12 8.182800526833e-12 5.090517296113e-15 2.089943668332e-13 3.221208849311e-14 2.238436812569e-15 + 369 2.813152894818e-10 2.732440842976e-12 7.939923089459e-12 5.105768741316e-15 2.071206597689e-13 3.168178684694e-14 2.233203073662e-15 + 370 2.789386628619e-10 2.745166493596e-12 7.695013120331e-12 5.121037080533e-15 2.052689607345e-13 3.115802739159e-14 2.227764092509e-15 + 371 2.766197905186e-10 2.757451929731e-12 7.448174410844e-12 5.136325325072e-15 2.034390004087e-13 3.064076368784e-14 2.222122352600e-15 + 372 2.743589072938e-10 2.769291025446e-12 7.199513010531e-12 5.151636542883e-15 2.016304929944e-13 3.012994536694e-14 2.216280420474e-15 + 373 2.721562317552e-10 2.780677644420e-12 6.949137241677e-12 5.166973858886e-15 1.998431360777e-13 2.962551809614e-14 2.210240946308e-15 + 374 2.700119660314e-10 2.791605640137e-12 6.697157713927e-12 5.182340455310e-15 1.980766104869e-13 2.912742354418e-14 2.204006664500e-15 + 375 2.679262956467e-10 2.802068856084e-12 6.443687338898e-12 5.197739572031e-15 1.963305801513e-13 2.863559934686e-14 2.197580394262e-15 + 376 2.658993893569e-10 2.812061125954e-12 6.188841344789e-12 5.213174506904e-15 1.946046919602e-13 2.814997907258e-14 2.190965040199e-15 + 377 2.639313989835e-10 2.821576273836e-12 5.932737290993e-12 5.228648616098e-15 1.928985756224e-13 2.767049218786e-14 2.184163592905e-15 + 378 2.620224592495e-10 2.830608114416e-12 5.675495082705e-12 5.244165314438e-15 1.912118435243e-13 2.719706402286e-14 2.177179129546e-15 + 379 2.601726876141e-10 2.839150453172e-12 5.417236985535e-12 5.259728075732e-15 1.895440905899e-13 2.672961573696e-14 2.170014814446e-15 + 380 2.583821841080e-10 2.847197086574e-12 5.158087640118e-12 5.275340433114e-15 1.878948941389e-13 2.626806428424e-14 2.162673899678e-15 + 381 2.566510311682e-10 2.854741802278e-12 4.898174076723e-12 5.291005979376e-15 1.862638137461e-13 2.581232237905e-14 2.155159725647e-15 + 382 2.549792934735e-10 2.861778379325e-12 4.637625729866e-12 5.306728367303e-15 1.846503911004e-13 2.536229846156e-14 2.147475721681e-15 + 383 2.533670177792e-10 2.868300588336e-12 4.376574452919e-12 5.322511310012e-15 1.830541498639e-13 2.491789666324e-14 2.139625406616e-15 + 384 2.518142327525e-10 2.874302191714e-12 4.115154532721e-12 5.338358581286e-15 1.814745955304e-13 2.447901677245e-14 2.131612389385e-15 + 385 2.503209488072e-10 2.879776943835e-12 3.853502704188e-12 5.354274015908e-15 1.799112152850e-13 2.404555419993e-14 2.123440369604e-15 + 386 2.488871579393e-10 2.884718591247e-12 3.591758164925e-12 5.370261509999e-15 1.783634778626e-13 2.361739994437e-14 2.115113138158e-15 + 387 2.475128335617e-10 2.889120872872e-12 3.330062589837e-12 5.386325021352e-15 1.768308334071e-13 2.319444055794e-14 2.106634577792e-15 + 388 2.461979168799e-10 2.892978655773e-12 3.068548047084e-12 5.402468132838e-15 1.753128118827e-13 2.277658002680e-14 2.098008221462e-15 + 389 2.449422757935e-10 2.896291388924e-12 2.807300217832e-12 5.418692723922e-15 1.738093226533e-13 2.236380638544e-14 2.089235907979e-15 + 390 2.437457441338e-10 2.899059779023e-12 2.546393829383e-12 5.435000250111e-15 1.723203658323e-13 2.195612752648e-14 2.080319077237e-15 + 391 2.426081348093e-10 2.901284667672e-12 2.285904634573e-12 5.451392175389e-15 1.708459346797e-13 2.155354949366e-14 2.071259208132e-15 + 392 2.415292396303e-10 2.902967032480e-12 2.025909416765e-12 5.467869972201e-15 1.693860155396e-13 2.115607646485e-14 2.062057818800e-15 + 393 2.405088291330e-10 2.904107988164e-12 1.766485994838e-12 5.484435121448e-15 1.679405877772e-13 2.076371073494e-14 2.052716466855e-15 + 394 2.395466524043e-10 2.904708787646e-12 1.507713228180e-12 5.501089112470e-15 1.665096237168e-13 2.037645269887e-14 2.043236749624e-15 + 395 2.386424369057e-10 2.904770823153e-12 1.249671021678e-12 5.517833443036e-15 1.650930885783e-13 1.999430083452e-14 2.033620304380e-15 + 396 2.377958882981e-10 2.904295627319e-12 9.924403307101e-13 5.534669619333e-15 1.636909404153e-13 1.961725168573e-14 2.023868808581e-15 + 397 2.370066902659e-10 2.903284874285e-12 7.361031661385e-13 5.551599155953e-15 1.623031300519e-13 1.924529984522e-14 2.013983980104e-15 + 398 2.362745043417e-10 2.901740380798e-12 4.807425992982e-13 5.568623575881e-15 1.609296010204e-13 1.887843793757e-14 2.003967577480e-15 + 399 2.355989697302e-10 2.899664107308e-12 2.264427669901e-13 5.585744410485e-15 1.595702894983e-13 1.851665660213e-14 1.993821400131e-15 + 400 2.349797031332e-10 2.897058159075e-12 -2.671112352773e-14 5.602963199506e-15 1.582251242461e-13 1.815994447607e-14 1.983547288606e-15 + 401 2.344162985734e-10 2.893924787263e-12 -2.786327895489e-13 5.620281491039e-15 1.568940265443e-13 1.780828817725e-14 1.973147124815e-15 + 402 2.339083272192e-10 2.890266390040e-12 -5.292348679272e-13 5.637700841531e-15 1.555769101307e-13 1.746167228722e-14 1.962622832266e-15 + 403 2.334553372089e-10 2.886085513684e-12 -7.784289100850e-13 5.655222815759e-15 1.542736811379e-13 1.712007933418e-14 1.951976376299e-15 + 404 2.330568534752e-10 2.881384853676e-12 -1.026125377022e-12 5.672848986830e-15 1.529842380309e-13 1.678348977592e-14 1.941209764324e-15 + 405 2.327123775694e-10 2.876167255802e-12 -1.272233634323e-12 5.690580936157e-15 1.517084715439e-13 1.645188198281e-14 1.930325046056e-15 + 406 2.324213874860e-10 2.870435717256e-12 -1.516661947169e-12 5.708420253458e-15 1.504462646177e-13 1.612523222071e-14 1.919324313749e-15 + 407 2.321833374868e-10 2.864193387736e-12 -1.759317475342e-12 5.726368536737e-15 1.491974923378e-13 1.580351463397e-14 1.908209702433e-15 + 408 2.319976579259e-10 2.857443570546e-12 -2.000106268236e-12 5.744427392276e-15 1.479620218707e-13 1.548670122838e-14 1.896983390151e-15 + 409 2.318637550732e-10 2.850189723696e-12 -2.238933259866e-12 5.762598434621e-15 1.467397124019e-13 1.517476185412e-14 1.885647598190e-15 + 410 2.317810109396e-10 2.842435461001e-12 -2.475702263874e-12 5.780883286573e-15 1.455304150731e-13 1.486766418873e-14 1.874204591324e-15 + 411 2.317487831007e-10 2.834184553181e-12 -2.710315968540e-12 5.799283579175e-15 1.443339729195e-13 1.456537372003e-14 1.862656678041e-15 + 412 2.317664045219e-10 2.825440928962e-12 -2.942675931790e-12 5.817800951698e-15 1.431502208071e-13 1.426785372916e-14 1.851006210787e-15 + 413 2.318331833821e-10 2.816208676176e-12 -3.172682576204e-12 5.836437051633e-15 1.419789853702e-13 1.397506527344e-14 1.839255586196e-15 + 414 2.319484028986e-10 2.806492042860e-12 -3.400235184024e-12 5.855193534678e-15 1.408200849486e-13 1.368696716940e-14 1.827407245327e-15 + 415 2.321113211512e-10 2.796295438355e-12 -3.625231892166e-12 5.874072064726e-15 1.396733295248e-13 1.340351597573e-14 1.815463673902e-15 + 416 2.323211709068e-10 2.785623434408e-12 -3.847569687222e-12 5.893074313852e-15 1.385385206620e-13 1.312466597619e-14 1.803427402537e-15 + 417 2.325771594435e-10 2.774480766272e-12 -4.067144400476e-12 5.912201962304e-15 1.374154514404e-13 1.285036916262e-14 1.791301006984e-15 + 418 2.328784683751e-10 2.762872333805e-12 -4.283850702907e-12 5.931456698489e-15 1.363039063955e-13 1.258057521788e-14 1.779087108359e-15 + 419 2.332242534758e-10 2.750803202569e-12 -4.497582100201e-12 5.950840218964e-15 1.352036614550e-13 1.231523149882e-14 1.766788373386e-15 + 420 2.336136445041e-10 2.738278604931e-12 -4.708230927758e-12 5.970354228420e-15 1.341144838760e-13 1.205428301921e-14 1.754407514626e-15 + 421 2.340457450276e-10 2.725303941164e-12 -4.915688345698e-12 5.990000439675e-15 1.330361321828e-13 1.179767243272e-14 1.741947290714e-15 + 422 2.345196322469e-10 2.711884780547e-12 -5.119844333877e-12 6.009780573659e-15 1.319683561038e-13 1.154534001589e-14 1.729410506600e-15 + 423 2.350343568207e-10 2.698026862461e-12 -5.320587686888e-12 6.029696359404e-15 1.309108965091e-13 1.129722365107e-14 1.716800013775e-15 + 424 2.355889426893e-10 2.683736097494e-12 -5.517806009072e-12 6.049749534031e-15 1.298634853478e-13 1.105325880936e-14 1.704118710516e-15 + 425 2.361823869000e-10 2.669018568538e-12 -5.711385709528e-12 6.069941842740e-15 1.288258455854e-13 1.081337853362e-14 1.691369542118e-15 + 426 2.368136594304e-10 2.653880531891e-12 -5.901211997122e-12 6.090275038798e-15 1.277976911407e-13 1.057751342139e-14 1.678555501125e-15 + 427 2.374817867918e-10 2.638328612194e-12 -6.087182865083e-12 6.110750494067e-15 1.267787764057e-13 1.034560107124e-14 1.665679294268e-15 + 428 2.381861063271e-10 2.622370392314e-12 -6.269251578998e-12 6.131368016034e-15 1.257690467858e-13 1.011761481049e-14 1.652742330280e-15 + 429 2.389260202188e-10 2.606013845694e-12 -6.447385624520e-12 6.152126990514e-15 1.247684931576e-13 9.893535911389e-15 1.639745698104e-15 + 430 2.397009123725e-10 2.589267145550e-12 -6.621552852563e-12 6.173026767203e-15 1.237771027201e-13 9.673344205181e-15 1.626690497102e-15 + 431 2.405101482964e-10 2.572138666098e-12 -6.791721483494e-12 6.194066659411e-15 1.227948589641e-13 9.457018071316e-15 1.613577837080e-15 + 432 2.413530749806e-10 2.554636983779e-12 -6.957860111333e-12 6.215245943796e-15 1.218217416428e-13 9.244534426614e-15 1.600408838295e-15 + 433 2.422290207763e-10 2.536770878493e-12 -7.119937707940e-12 6.236563860095e-15 1.208577267409e-13 9.035868714432e-15 1.587184631478e-15 + 434 2.431372952756e-10 2.518549334816e-12 -7.277923627213e-12 6.258019610858e-15 1.199027864453e-13 8.830994893840e-15 1.573906357848e-15 + 435 2.440771891906e-10 2.499981543238e-12 -7.431787609284e-12 6.279612361180e-15 1.189568891143e-13 8.629885428797e-15 1.560575169132e-15 + 436 2.450479742329e-10 2.481076901382e-12 -7.581499784709e-12 6.301341238431e-15 1.180199992479e-13 8.432511277315e-15 1.547192227577e-15 + 437 2.460489029929e-10 2.461845015235e-12 -7.727030678666e-12 6.323205331994e-15 1.170920774576e-13 8.238841880640e-15 1.533758705972e-15 + 438 2.470792088193e-10 2.442295700376e-12 -7.868351215147e-12 6.345203692992e-15 1.161730804363e-13 8.048845152417e-15 1.520275787661e-15 + 439 2.481381056986e-10 2.422438983200e-12 -8.005432721154e-12 6.367335334024e-15 1.152629609283e-13 7.862487467868e-15 1.506744666560e-15 + 440 2.492247881342e-10 2.402285102148e-12 -8.138246930892e-12 6.389599228898e-15 1.143616676988e-13 7.679733652961e-15 1.493166547178e-15 + 441 2.503384310260e-10 2.381844508933e-12 -8.266765989965e-12 6.411994312361e-15 1.134691455045e-13 7.500546973584e-15 1.479542644628e-15 + 442 2.514781895498e-10 2.361127869769e-12 -8.390962459568e-12 6.434519479832e-15 1.125853350627e-13 7.324889124718e-15 1.465874184648e-15 + 443 2.526431990367e-10 2.340146066593e-12 -8.510809320682e-12 6.457173587137e-15 1.117101730219e-13 7.152720219607e-15 1.452162403614e-15 + 444 2.538325748523e-10 2.318910198300e-12 -8.626279978270e-12 6.479955450238e-15 1.108435919313e-13 6.983998778930e-15 1.438408548563e-15 + 445 2.550454122764e-10 2.297431581964e-12 -8.737348265469e-12 6.502863844971e-15 1.099855202106e-13 6.818681719979e-15 1.424613877203e-15 + 446 2.562807863822e-10 2.275721754069e-12 -8.843988447787e-12 6.525897506772e-15 1.091358821204e-13 6.656724345824e-15 1.410779657934e-15 + 447 2.575377519158e-10 2.253792471733e-12 -8.946175227294e-12 6.549055130414e-15 1.082945977315e-13 6.498080334491e-15 1.396907169863e-15 + 448 2.588153431754e-10 2.231655713939e-12 -9.043883746819e-12 6.572335369738e-15 1.074615828954e-13 6.342701728129e-15 1.382997702822e-15 + 449 2.601125738909e-10 2.209323682757e-12 -9.137089594143e-12 6.595736837386e-15 1.066367492136e-13 6.190538922189e-15 1.369052557383e-15 + 450 2.614284371034e-10 2.186808804578e-12 -9.225768806194e-12 6.619258104533e-15 1.058200040078e-13 6.041540654592e-15 1.355073044877e-15 + 451 2.627619050442e-10 2.164123731336e-12 -9.309897873241e-12 6.642897700621e-15 1.050112502901e-13 5.895653994900e-15 1.341060487411e-15 + 452 2.641119290145e-10 2.141281341736e-12 -9.389453743086e-12 6.666654113090e-15 1.042103867322e-13 5.752824333493e-15 1.327016217880e-15 + 453 2.654774392648e-10 2.118294742484e-12 -9.464413825265e-12 6.690525787112e-15 1.034173076359e-13 5.612995370739e-15 1.312941579991e-15 + 454 2.668573448742e-10 2.095177269511e-12 -9.534755995235e-12 6.714511125321e-15 1.026319029028e-13 5.476109106164e-15 1.298837928275e-15 + 455 2.682505336298e-10 2.071942489201e-12 -9.600458598570e-12 6.738608487549e-15 1.018540580039e-13 5.342105827630e-15 1.284706628105e-15 + 456 2.696558719061e-10 2.048604199621e-12 -9.661500455159e-12 6.762816190557e-15 1.010836539502e-13 5.210924100500e-15 1.270549055712e-15 + 457 2.710722045444e-10 2.025176431744e-12 -9.717860863398e-12 6.787132507766e-15 1.003205672618e-13 5.082500756820e-15 1.256366598204e-15 + 458 2.724983547323e-10 2.001673450679e-12 -9.769519604382e-12 6.811555668993e-15 9.956466993846e-14 4.956770884480e-15 1.242160653580e-15 + 459 2.739331238830e-10 1.978109756899e-12 -9.816456946102e-12 6.836083860180e-15 9.881582942903e-14 4.833667816396e-15 1.227932630750e-15 + 460 2.753752915146e-10 1.954500087464e-12 -9.858653647641e-12 6.860715223129e-15 9.807390860159e-14 4.713123119677e-15 1.213683949550e-15 + 461 2.768236151297e-10 1.930859417252e-12 -9.896090963362e-12 6.885447855235e-15 9.733876571331e-14 4.595066584800e-15 1.199416040757e-15 + 462 2.782768300947e-10 1.907202960186e-12 -9.928750647111e-12 6.910279809216e-15 9.661025438032e-14 4.479426214780e-15 1.185130346108e-15 + 463 2.797336495191e-10 1.883546170461e-12 -9.956614956403e-12 6.935209092846e-15 9.588822354763e-14 4.366128214345e-15 1.170828318319e-15 + 464 2.811927641352e-10 1.859904743768e-12 -9.979666656622e-12 6.960233668691e-15 9.517251745899e-14 4.255096979106e-15 1.156511421097e-15 + 465 2.826528421770e-10 1.836294618526e-12 -9.997889025213e-12 6.985351453838e-15 9.446297562685e-14 4.146255084731e-15 1.142181129160e-15 + 466 2.841126695220e-10 1.812730919230e-12 -1.001127376074e-11 7.010560257847e-15 9.375945969851e-14 4.039535918113e-15 1.127838889817e-15 + 467 2.855715751722e-10 1.789224747721e-12 -1.001984497309e-11 7.035857595008e-15 9.306193503838e-14 3.934922026597e-15 1.113486006362e-15 + 468 2.870290188099e-10 1.765786294223e-12 -1.002363594999e-11 7.061240865705e-15 9.237039163177e-14 3.832407943896e-15 1.099123751074e-15 + 469 2.884844516930e-10 1.742425886811e-12 -1.002268132837e-11 7.086707417359e-15 9.168481740344e-14 3.731987652411e-15 1.084753403322e-15 + 470 2.899373166115e-10 1.719153992058e-12 -1.001701710285e-11 7.112254544130e-15 9.100519820237e-14 3.633654579372e-15 1.070376249560e-15 + 471 2.913870478443e-10 1.695981215677e-12 -1.000668063437e-11 7.137879486619e-15 9.033151778642e-14 3.537401592980e-15 1.055993583320e-15 + 472 2.928330711161e-10 1.672918303162e-12 -9.991710658688e-12 7.163579431560e-15 8.966375780714e-14 3.443220998550e-15 1.041606705211e-15 + 473 2.942748035539e-10 1.649976140439e-12 -9.972147294945e-12 7.189351511525e-15 8.900189779444e-14 3.351104534658e-15 1.027216922912e-15 + 474 2.957116536438e-10 1.627165754504e-12 -9.948032054234e-12 7.215192804617e-15 8.834591514133e-14 3.261043369281e-15 1.012825551170e-15 + 475 2.971430211879e-10 1.604498314067e-12 -9.919407848139e-12 7.241100334172e-15 8.769578508869e-14 3.173028095942e-15 9.984339117943e-16 + 476 2.985682972607e-10 1.581985130199e-12 -9.886318997293e-12 7.267071068457e-15 8.705148070994e-14 3.087048729851e-15 9.840433336510e-16 + 477 2.999868641663e-10 1.559637656976e-12 -9.848811239931e-12 7.293101920366e-15 8.641297289582e-14 3.003094704052e-15 9.696551526608e-16 + 478 3.013980953948e-10 1.537467492119e-12 -9.806931740439e-12 7.319189747124e-15 8.578023033910e-14 2.921154865564e-15 9.552707117932e-16 + 479 3.028013555792e-10 1.515486377641e-12 -9.760729097915e-12 7.345331349977e-15 8.515321951929e-14 2.841217471524e-15 9.408913610629e-16 + 480 3.041960004518e-10 1.493706200491e-12 -9.710253354716e-12 7.371523473901e-15 8.453190468741e-14 2.763270185332e-15 9.265184575247e-16 + 481 3.055813768017e-10 1.472138993196e-12 -9.655556005011e-12 7.397762807291e-15 8.391624785069e-14 2.687300072793e-15 9.121533652697e-16 + 482 3.069568224305e-10 1.450796934507e-12 -9.596690003340e-12 7.424045981665e-15 8.330620875732e-14 2.613293598261e-15 8.977974554205e-16 + 483 3.083216661101e-10 1.429692350042e-12 -9.533709773160e-12 7.450369571361e-15 8.270174488116e-14 2.541236620782e-15 8.834521061273e-16 + 484 3.096752275386e-10 1.408837712927e-12 -9.466671215402e-12 7.476730093236e-15 8.210281140648e-14 2.471114390239e-15 8.691187025629e-16 + 485 3.110168172975e-10 1.388245644448e-12 -9.395631717027e-12 7.503124006363e-15 8.150936121268e-14 2.402911543492e-15 8.547986369187e-16 + 486 3.123457368083e-10 1.367928914684e-12 -9.320650159570e-12 7.529547711731e-15 8.092134485906e-14 2.336612100524e-15 8.404933084004e-16 + 487 3.136612782893e-10 1.347900443161e-12 -9.241786927705e-12 7.555997551943e-15 8.033871056949e-14 2.272199460584e-15 8.262041232233e-16 + 488 3.149627247122e-10 1.328173299488e-12 -9.159103917787e-12 7.582469810916e-15 7.976140421717e-14 2.209656398331e-15 8.119324946080e-16 + 489 3.162493497590e-10 1.308760704007e-12 -9.072664546414e-12 7.608960713576e-15 7.918936930938e-14 2.148965059973e-15 7.976798427762e-16 + 490 3.175204177786e-10 1.289676028433e-12 -8.982533758975e-12 7.635466425560e-15 7.862254697218e-14 2.090106959417e-15 7.834475949464e-16 + 491 3.187751837436e-10 1.270932796499e-12 -8.888778038204e-12 7.661983052913e-15 7.806087593512e-14 2.033062974408e-15 7.692371853288e-16 + 492 3.200128932073e-10 1.252544684600e-12 -8.791465412736e-12 7.688506641785e-15 7.750429251605e-14 1.977813342673e-15 7.550500551219e-16 + 493 3.212327822598e-10 1.234525522437e-12 -8.690665465655e-12 7.715033178133e-15 7.695273060576e-14 1.924337658066e-15 7.408876525075e-16 + 494 3.224340774855e-10 1.216889293663e-12 -8.586449343053e-12 7.741558587419e-15 7.640612165276e-14 1.872614866708e-15 7.267514326462e-16 + 495 3.236159959192e-10 1.199650136521e-12 -8.478889762579e-12 7.768078734303e-15 7.586439464800e-14 1.822623263135e-15 7.126428576737e-16 + 496 3.247777450032e-10 1.182822344494e-12 -8.368061021994e-12 7.794589422349e-15 7.532747610959e-14 1.774340486437e-15 6.985633966957e-16 + 497 3.259185225439e-10 1.166420366947e-12 -8.254039007722e-12 7.821086393719e-15 7.479529006756e-14 1.727743516404e-15 6.845145257838e-16 + 498 3.270375166688e-10 1.150458809769e-12 -8.136901203408e-12 7.847565328874e-15 7.426775804854e-14 1.682808669669e-15 6.704977279712e-16 + 499 3.281339057828e-10 1.134952436018e-12 -8.016726698465e-12 7.874021846269e-15 7.374479906054e-14 1.639511595849e-15 6.565144932482e-16 + 500 3.292068585252e-10 1.119916166568e-12 -7.893596196633e-12 7.900451502056e-15 7.322632957764e-14 1.597827273694e-15 6.425663185579e-16 + 501 3.302555337264e-10 1.105365080747e-12 -7.767592024526e-12 7.926849789778e-15 7.271226352476e-14 1.557730007222e-15 6.286547077916e-16 + 502 3.312790803648e-10 1.091314416987e-12 -7.638798140191e-12 7.953212140072e-15 7.220251226233e-14 1.519193421870e-15 6.147811717847e-16 + 503 3.322766375233e-10 1.077779573462e-12 -7.507300141658e-12 7.979533920364e-15 7.169698457111e-14 1.482190460635e-15 6.009472283122e-16 + 504 3.332473343459e-10 1.064776108738e-12 -7.373185275495e-12 8.005810434569e-15 7.119558663682e-14 1.446693380213e-15 5.871544020842e-16 + 505 3.341904176483e-10 1.052317891451e-12 -7.236539536412e-12 8.032037262690e-15 7.069823719565e-14 1.412676724420e-15 5.734041348775e-16 + 506 3.351056388781e-10 1.040411489431e-12 -7.097438856813e-12 8.058211290985e-15 7.020491348141e-14 1.380126346466e-15 5.596975130922e-16 + 507 3.359928782171e-10 1.029061620206e-12 -6.955957680288e-12 8.084329710884e-15 6.971560657197e-14 1.349030639000e-15 5.460355323374e-16 + 508 3.368520179526e-10 1.018272987116e-12 -6.812171854766e-12 8.110389681631e-15 6.923030634009e-14 1.319377577891e-15 5.324191865394e-16 + 509 3.376829424942e-10 1.008050279094e-12 -6.666158639710e-12 8.136388330141e-15 6.874900144531e-14 1.291154719772e-15 5.188494678948e-16 + 510 3.384855383905e-10 9.983981704354e-13 -6.517996713296e-12 8.162322750860e-15 6.827167932578e-14 1.264349199581e-15 5.053273668243e-16 + 511 3.392596943456e-10 9.893213205737e-13 -6.367766179609e-12 8.188190005622e-15 6.779832619008e-14 1.238947728101e-15 4.918538719257e-16 + 512 3.400053012361e-10 9.808243738570e-13 -6.215548575823e-12 8.213987123505e-15 6.732892700915e-14 1.214936589503e-15 4.784299699275e-16 + 513 3.407222521275e-10 9.729119593210e-13 -6.061426879391e-12 8.239711100694e-15 6.686346550805e-14 1.192301638889e-15 4.650566456423e-16 + 514 3.414104422911e-10 9.655886904644e-13 -5.905485515232e-12 8.265358900335e-15 6.640192415788e-14 1.171028299828e-15 4.517348819204e-16 + 515 3.420697692206e-10 9.588591650231e-13 -5.747810362917e-12 8.290927452396e-15 6.594428416756e-14 1.151101561904e-15 4.384656596027e-16 + 516 3.427001326488e-10 9.527279647455e-13 -5.588488763858e-12 8.316413653522e-15 6.549052547576e-14 1.132505978254e-15 4.252499574746e-16 + 517 3.433014345641e-10 9.471996551664e-13 -5.427609528494e-12 8.341814366895e-15 6.504062674269e-14 1.115225663111e-15 4.120887522195e-16 + 518 3.438735792275e-10 9.422787853822e-13 -5.265262943478e-12 8.367126422093e-15 6.459456534196e-14 1.099244289342e-15 3.989830183716e-16 + 519 3.444164731892e-10 9.379698878256e-13 -5.101540778862e-12 8.392346614947e-15 6.415231735245e-14 1.084545085995e-15 3.859337282698e-16 + 520 3.449300253051e-10 9.342774780400e-13 -4.936536295291e-12 8.417471707399e-15 6.371385755015e-14 1.071110835837e-15 3.729418520110e-16 + 521 3.454141467536e-10 9.312060544541e-13 -4.770344251180e-12 8.442498427360e-15 6.327915939998e-14 1.058923872896e-15 3.600083574037e-16 + 522 3.458687510525e-10 9.287600981570e-13 -4.603060909911e-12 8.467423468569e-15 6.284819504771e-14 1.047966080004e-15 3.471342099209e-16 + 523 3.462937540754e-10 9.269440726727e-13 -4.434784047012e-12 8.492243490451e-15 6.242093531171e-14 1.038218886335e-15 3.343203726540e-16 + 524 3.466890740682e-10 9.257624237343e-13 -4.265612957350e-12 8.516955117973e-15 6.199734967491e-14 1.029663264950e-15 3.215678062661e-16 + 525 3.470546316666e-10 9.252195790594e-13 -4.095648462316e-12 8.541554941506e-15 6.157740627657e-14 1.022279730338e-15 3.088774689452e-16 + 526 3.473903499118e-10 9.253199481243e-13 -3.924992917010e-12 8.566039516681e-15 6.116107190413e-14 1.016048335958e-15 2.962503163579e-16 + 527 3.476961542679e-10 9.260679219389e-13 -3.753750217430e-12 8.590405364245e-15 6.074831198514e-14 1.010948671775e-15 2.836873016027e-16 + 528 3.479719726381e-10 9.274678728212e-13 -3.582025807661e-12 8.614648969924e-15 6.033909057900e-14 1.006959861810e-15 2.711893751633e-16 + 529 3.482177353819e-10 9.295241541721e-13 -3.409926687059e-12 8.638766784276e-15 5.993337036888e-14 1.004060561677e-15 2.587574848621e-16 + 530 3.484333753313e-10 9.322411002499e-13 -3.237561417439e-12 8.662755222554e-15 5.953111265358e-14 1.002228956123e-15 2.463925758138e-16 + 531 3.486188278078e-10 9.356230259453e-13 -3.065040130263e-12 8.686610664560e-15 5.913227733931e-14 1.001442756573e-15 2.340955903784e-16 + 532 3.487740306388e-10 9.396742265556e-13 -2.892474533825e-12 8.710329454505e-15 5.873682293160e-14 1.001679198670e-15 2.218674681151e-16 + 533 3.488989241747e-10 9.443989775599e-13 -2.719977920441e-12 8.733907900868e-15 5.834470652714e-14 1.002915039815e-15 2.097091457352e-16 + 534 3.489934513051e-10 9.498015343933e-13 -2.547665173634e-12 8.757342276252e-15 5.795588380561e-14 1.005126556713e-15 1.976215570559e-16 + 535 3.490575574761e-10 9.558861322219e-13 -2.375652775323e-12 8.780628817244e-15 5.757030902154e-14 1.008289542907e-15 1.856056329538e-16 + 536 3.490911907061e-10 9.626569857173e-13 -2.204058813006e-12 8.803763724272e-15 5.718793499616e-14 1.012379306329e-15 1.736623013177e-16 + 537 3.490943016035e-10 9.701182888313e-13 -2.033002986952e-12 8.826743161464e-15 5.680871310925e-14 1.017370666833e-15 1.617924870028e-16 + 538 3.490668433827e-10 9.782742145706e-13 -1.862606617385e-12 8.849563256504e-15 5.643259329099e-14 1.023237953742e-15 1.499971117833e-16 + 539 3.490087718810e-10 9.871289147715e-13 -1.692992651673e-12 8.872220100495e-15 5.605952401382e-14 1.029955003387e-15 1.382770943067e-16 + 540 3.489200455751e-10 9.966865198744e-13 -1.524285671514e-12 8.894709747810e-15 5.568945228425e-14 1.037495156649e-15 1.266333500465e-16 + 541 3.488006255983e-10 1.006951138699e-12 -1.356611900122e-12 8.917028215957e-15 5.532232363476e-14 1.045831256501e-15 1.150667912559e-16 + 542 3.486504757566e-10 1.017926858218e-12 -1.190099209418e-12 8.939171485433e-15 5.495808211562e-14 1.054935645550e-15 1.035783269211e-16 + 543 3.484695625457e-10 1.029617743332e-12 -1.024877127211e-12 8.961135499584e-15 5.459667028675e-14 1.064780163574e-15 9.216886271500e-17 + 544 3.482579127991e-10 1.042026352935e-12 -8.610649141819e-13 8.982916694526e-15 5.423803816445e-14 1.075339500314e-15 8.083919032983e-17 + 545 3.480157882940e-10 1.055149244911e-12 -6.987354295550e-13 9.004513604787e-15 5.388217034135e-14 1.086601357413e-15 6.958965231586e-17 + 546 3.477435158507e-10 1.068981350412e-12 -5.379503126813e-13 9.025925300353e-15 5.352905957608e-14 1.098556553549e-15 5.842046818230e-17 + 547 3.474414301636e-10 1.083517445856e-12 -3.787718281265e-13 9.047150860561e-15 5.317869789952e-14 1.111195692690e-15 4.733184411516e-17 + 548 3.471098738413e-10 1.098752152110e-12 -2.212628680286e-13 9.068189374172e-15 5.283107661030e-14 1.124509162998e-15 3.632397288596e-17 + 549 3.467491974467e-10 1.114679933656e-12 -6.548695445645e-14 9.089039939443e-15 5.248618627024e-14 1.138487135726e-15 2.539703376032e-17 + 550 3.463597595366e-10 1.131295097773e-12 8.849175823193e-14 9.109701664204e-15 5.214401669985e-14 1.153119564120e-15 1.455119240661e-17 + 551 3.459419267024e-10 1.148591793702e-12 2.406084810310e-13 9.130173665922e-15 5.180455697379e-14 1.168396182314e-15 3.786600804593e-18 + 552 3.454960736094e-10 1.166564011830e-12 3.907977879291e-13 9.150455071784e-15 5.146779541633e-14 1.184306504234e-15 -6.896602845918e-18 + 553 3.450225830375e-10 1.185205582856e-12 5.389936135508e-13 9.170545018762e-15 5.113371959687e-14 1.200839822497e-15 -1.749829421645e-17 + 554 3.445218459205e-10 1.204510176970e-12 6.851292507976e-13 9.190442653689e-15 5.080231632537e-14 1.217985207308e-15 -2.801836294122e-17 + 555 3.439942613866e-10 1.224471303025e-12 8.291373484903e-13 9.210147133331e-15 5.047357164784e-14 1.235731505362e-15 -3.845671270848e-17 + 556 3.434402367984e-10 1.245082307712e-12 9.709499090104e-13 9.229657624459e-15 5.014747084181e-14 1.254067338742e-15 -4.881326135191e-17 + 557 3.428601877927e-10 1.266336374733e-12 1.110498285942e-12 9.248973303924e-15 4.982399841181e-14 1.272981103820e-15 -5.908794094194e-17 + 558 3.422545383206e-10 1.288226523978e-12 1.247713181712e-12 9.268093358726e-15 4.950313808485e-14 1.292460970155e-15 -6.928069787714e-17 + 559 3.416237206876e-10 1.310745610696e-12 1.382524645235e-12 9.287016986090e-15 4.918487280588e-14 1.312494879393e-15 -7.939149297557e-17 + 560 3.409681755934e-10 1.333886324669e-12 1.514862069550e-12 9.305743393538e-15 4.886918473325e-14 1.333070544168e-15 -8.942030156613e-17 + 561 3.402883521723e-10 1.357641189389e-12 1.644654189469e-12 9.324271798959e-15 4.855605523424e-14 1.354175447000e-15 -9.936711357995e-17 + 562 3.395847080326e-10 1.382002561230e-12 1.771829079210e-12 9.342601430685e-15 4.824546488047e-14 1.375796839195e-15 -1.092319336417e-16 + 563 3.388577092973e-10 1.406962628623e-12 1.896314150047e-12 9.360731527563e-15 4.793739344342e-14 1.397921739744e-15 -1.190147811610e-16 + 564 3.381078306437e-10 1.432513411231e-12 2.018036147946e-12 9.378661339026e-15 4.763181988986e-14 1.420536934222e-15 -1.287156904238e-16 + 565 3.373355553434e-10 1.458646759119e-12 2.136921151209e-12 9.396390125167e-15 4.732872237737e-14 1.443628973692e-15 -1.383347106837e-16 + 566 3.365413753025e-10 1.485354351933e-12 2.252894568114e-12 9.413917156811e-15 4.702807824980e-14 1.467184173598e-15 -1.478719062532e-16 + 567 3.357257911016e-10 1.512627698073e-12 2.365881134560e-12 9.431241715590e-15 4.672986403272e-14 1.491188612670e-15 -1.573273565953e-16 + 568 3.348893120357e-10 1.540458133865e-12 2.475804911705e-12 9.448363094012e-15 4.643405542891e-14 1.515628131818e-15 -1.667011564146e-16 + 569 3.340324561542e-10 1.568836822737e-12 2.582589283609e-12 9.465280595536e-15 4.614062731386e-14 1.540488333037e-15 -1.759934157491e-16 + 570 3.331557503010e-10 1.597754754393e-12 2.686156954876e-12 9.481993534644e-15 4.584955373120e-14 1.565754578306e-15 -1.852042600608e-16 + 571 3.322597301545e-10 1.627202743986e-12 2.786429948297e-12 9.498501236914e-15 4.556080788819e-14 1.591411988482e-15 -1.943338303279e-16 + 572 3.313449402676e-10 1.657171431294e-12 2.883329602487e-12 9.514803039092e-15 4.527436215121e-14 1.617445442207e-15 -2.033822831356e-16 + 573 3.304119341076e-10 1.687651279893e-12 2.976776569533e-12 9.530898289166e-15 4.499018804122e-14 1.643839574802e-15 -2.123497907677e-16 + 574 3.294612740967e-10 1.718632576330e-12 3.066690812629e-12 9.546786346437e-15 4.470825622923e-14 1.670578777168e-15 -2.212365412978e-16 + 575 3.284935316511e-10 1.750105429299e-12 3.152991603723e-12 9.562466581594e-15 4.442853653180e-14 1.697647194688e-15 -2.300427386809e-16 + 576 3.275092872219e-10 1.782059768816e-12 3.235597521157e-12 9.577938376784e-15 4.415099790646e-14 1.725028726123e-15 -2.387686028445e-16 + 577 3.265091303347e-10 1.814485345390e-12 3.314426447307e-12 9.593201125685e-15 4.387560844724e-14 1.752707022515e-15 -2.474143697801e-16 + 578 3.254936596298e-10 1.847371729200e-12 3.389395566228e-12 9.608254233582e-15 4.360233538012e-14 1.780665486082e-15 -2.559802916347e-16 + 579 3.244634829017e-10 1.880708309265e-12 3.460421361290e-12 9.623097117434e-15 4.333114505851e-14 1.808887269123e-15 -2.644666368017e-16 + 580 3.234192171400e-10 1.914484292625e-12 3.527419612826e-12 9.637729205954e-15 4.306200295871e-14 1.837355272914e-15 -2.728736900128e-16 + 581 3.223614885685e-10 1.948688703510e-12 3.590305395770e-12 9.652149939674e-15 4.279487367541e-14 1.866052146607e-15 -2.812017524291e-16 + 582 3.212909326860e-10 1.983310382513e-12 3.648993077301e-12 9.666358771022e-15 4.252972091712e-14 1.894960286132e-15 -2.894511417323e-16 + 583 3.202081675869e-10 2.018337902006e-12 3.703409941706e-12 9.680355527181e-15 4.226651295831e-14 1.924064060263e-15 -2.976220027896e-16 + 584 3.191137131130e-10 2.053759311716e-12 3.753537443690e-12 9.694141508465e-15 4.200523915448e-14 1.953356552137e-15 -3.057137342650e-16 + 585 3.180080697609e-10 2.089562385162e-12 3.799370980984e-12 9.707718417527e-15 4.174589383066e-14 1.982832983977e-15 -3.137255478643e-16 + 586 3.168917452493e-10 2.125734701984e-12 3.840906362819e-12 9.721087999251e-15 4.148847085963e-14 2.012488504846e-15 -3.216566564899e-16 + 587 3.157652545490e-10 2.162263647093e-12 3.878139812371e-12 9.734252040957e-15 4.123296365921e-14 2.042318190336e-15 -3.295062742654e-16 + 588 3.146291199136e-10 2.199136409810e-12 3.911067969209e-12 9.747212372601e-15 4.097936518975e-14 2.072317042251e-15 -3.372736165604e-16 + 589 3.134838709104e-10 2.236339983019e-12 3.939687891735e-12 9.759970866973e-15 4.072766795146e-14 2.102479988291e-15 -3.449579000151e-16 + 590 3.123300444505e-10 2.273861162301e-12 3.963997059633e-12 9.772529439900e-15 4.047786398185e-14 2.132801881736e-15 -3.525583425647e-16 + 591 3.111681848199e-10 2.311686545089e-12 3.983993376307e-12 9.784890050445e-15 4.022994485311e-14 2.163277501134e-15 -3.600741634641e-16 + 592 3.099988437097e-10 2.349802529804e-12 3.999675171335e-12 9.797054701110e-15 3.998390166949e-14 2.193901549980e-15 -3.675045833124e-16 + 593 3.088225802469e-10 2.388195315006e-12 4.011041202905e-12 9.809025438033e-15 3.973972506475e-14 2.224668656405e-15 -3.748488240778e-16 + 594 3.076399610250e-10 2.426850898534e-12 4.018090660264e-12 9.820804351190e-15 3.949740519950e-14 2.255573372859e-15 -3.821061091218e-16 + 595 3.064515601346e-10 2.465755076654e-12 4.020823166162e-12 9.832393574598e-15 3.925693175861e-14 2.286610175795e-15 -3.892756632241e-16 + 596 3.052579591937e-10 2.504893443202e-12 4.019238779296e-12 9.843795286512e-15 3.901829394865e-14 2.317773465355e-15 -3.963567126070e-16 + 597 3.040597473788e-10 2.544251388729e-12 4.013337996753e-12 9.855011709627e-15 3.878148049522e-14 2.349057565053e-15 -4.033484849601e-16 + 598 3.028575214552e-10 2.583814099644e-12 4.003121756460e-12 9.866045111279e-15 3.854647964042e-14 2.380456721459e-15 -4.102502094649e-16 + 599 3.016518858074e-10 2.623566557362e-12 3.988591439622e-12 9.876897803645e-15 3.831327914017e-14 2.411965103886e-15 -4.170611168193e-16 + 600 3.004434524704e-10 2.663493537447e-12 3.969748873170e-12 9.887572143943e-15 3.808186626167e-14 2.443576804073e-15 -4.237804392624e-16 + 601 2.992328411593e-10 2.703579608753e-12 3.946596332206e-12 9.898070534634e-15 3.785222778077e-14 2.475285835868e-15 -4.304074105988e-16 + 602 2.980206793007e-10 2.743809132576e-12 3.919136542447e-12 9.908395423620e-15 3.762434997937e-14 2.507086134917e-15 -4.369412662234e-16 + 603 2.968076020631e-10 2.784166261792e-12 3.887372682667e-12 9.918549304449e-15 3.739821864282e-14 2.538971558343e-15 -4.433812431461e-16 + 604 2.955942523873e-10 2.824634940005e-12 3.851308387148e-12 9.928534716510e-15 3.717381905731e-14 2.570935884435e-15 -4.497265800161e-16 + 605 2.943812810170e-10 2.865198900691e-12 3.810947748116e-12 9.938354245237e-15 3.695113600728e-14 2.602972812329e-15 -4.559765171466e-16 + 606 2.931693465297e-10 2.905841666342e-12 3.766295318193e-12 9.948010522310e-15 3.673015377280e-14 2.635075961695e-15 -4.621302965396e-16 + 607 2.919591153670e-10 2.946546547612e-12 3.717356112838e-12 9.957506225854e-15 3.651085612699e-14 2.667238872421e-15 -4.681871619102e-16 + 608 2.907512618654e-10 2.987296642458e-12 3.664135612791e-12 9.966844080639e-15 3.629322633340e-14 2.699455004298e-15 -4.741463587116e-16 + 609 2.895464682867e-10 3.028074835291e-12 3.606639766521e-12 9.976026858282e-15 3.607724714340e-14 2.731717736703e-15 -4.800071341591e-16 + 610 2.883454248487e-10 3.068863796113e-12 3.544874992667e-12 9.985057377446e-15 3.586290079360e-14 2.764020368282e-15 -4.857687372551e-16 + 611 2.871488297558e-10 3.109645979670e-12 3.478848182484e-12 9.993938504044e-15 3.565016900324e-14 2.796356116641e-15 -4.914304188139e-16 + 612 2.859573892298e-10 3.150403624587e-12 3.408566702288e-12 1.000267315144e-14 3.543903297157e-14 2.828718118023e-15 -4.969914314857e-16 + 613 2.847718175398e-10 3.191118752522e-12 3.334038395901e-12 1.001126428063e-14 3.522947337528e-14 2.861099426997e-15 -5.024510297817e-16 + 614 2.835928370338e-10 3.231773167304e-12 3.255271587092e-12 1.001971490048e-14 3.502147036585e-14 2.893493016142e-15 -5.078084700985e-16 + 615 2.824211781684e-10 3.272348454082e-12 3.172275082029e-12 1.002802806789e-14 3.481500356701e-14 2.925891775731e-15 -5.130630107426e-16 + 616 2.812575795401e-10 3.312825978464e-12 3.085058171714e-12 1.003620688803e-14 3.461005207207e-14 2.958288513413e-15 -5.182139119552e-16 + 617 2.801027879151e-10 3.353186885668e-12 2.993630634436e-12 1.004425451450e-14 3.440659444137e-14 2.990675953903e-15 -5.232604359368e-16 + 618 2.789575582609e-10 3.393412099665e-12 2.898002738210e-12 1.005217414956e-14 3.420460869965e-14 3.023046738661e-15 -5.282018468716e-16 + 619 2.778226537761e-10 3.433482322319e-12 2.798185243226e-12 1.005996904431e-14 3.400407233345e-14 3.055393425581e-15 -5.330374109521e-16 + 620 2.766988459211e-10 3.473378032537e-12 2.694189404289e-12 1.006764249894e-14 3.380496228851e-14 3.087708488671e-15 -5.377663964040e-16 + 621 2.755869144492e-10 3.513079485412e-12 2.586026973267e-12 1.007519786284e-14 3.360725496719e-14 3.119984317742e-15 -5.423880735104e-16 + 622 2.744875672891e-10 3.552568206107e-12 2.473717316406e-12 1.008263847696e-14 3.341092965342e-14 3.152213395474e-15 -5.469019825079e-16 + 623 2.734011980716e-10 3.591831511681e-12 2.357308944411e-12 1.008996749864e-14 3.321597888113e-14 3.184388833814e-15 -5.513087441148e-16 + 624 2.723281229836e-10 3.630858093494e-12 2.236858491548e-12 1.009718807304e-14 3.302239830361e-14 3.216503849520e-15 -5.556092680383e-16 + 625 2.712686604071e-10 3.669636531674e-12 2.112423651065e-12 1.010430339089e-14 3.283018328629e-14 3.248551587655e-15 -5.598044869294e-16 + 626 2.702231309252e-10 3.708155294714e-12 1.984063179840e-12 1.011131668863e-14 3.263932890528e-14 3.280525121326e-15 -5.638953564905e-16 + 627 2.691918573276e-10 3.746402739086e-12 1.851836903032e-12 1.011823124867e-14 3.244982994577e-14 3.312417451424e-15 -5.678828555831e-16 + 628 2.681751646164e-10 3.784367108847e-12 1.715805718723e-12 1.012505039948e-14 3.226168090053e-14 3.344221506363e-15 -5.717679863349e-16 + 629 2.671733800123e-10 3.822036535245e-12 1.576031602570e-12 1.013177751585e-14 3.207487596832e-14 3.375930141819e-15 -5.755517742479e-16 + 630 2.661868329598e-10 3.859399036327e-12 1.432577612453e-12 1.013841601903e-14 3.188940905239e-14 3.407536140471e-15 -5.792352683055e-16 + 631 2.652158551333e-10 3.896442516549e-12 1.285507893120e-12 1.014496937692e-14 3.170527375893e-14 3.439032211737e-15 -5.828195410803e-16 + 632 2.642607804428e-10 3.933154766379e-12 1.134887680837e-12 1.015144110429e-14 3.152246339552e-14 3.470410991520e-15 -5.863056888417e-16 + 633 2.633219450399e-10 3.969523461910e-12 9.807833080363e-13 1.015783476287e-14 3.134097096959e-14 3.501665041940e-15 -5.896948316631e-16 + 634 2.623996873229e-10 4.005536164461e-12 8.232622079626e-13 1.016415396166e-14 3.116078918689e-14 3.532786851076e-15 -5.929881135299e-16 + 635 2.614943479436e-10 4.041180320192e-12 6.623929193221e-13 1.017040235698e-14 3.098191044992e-14 3.563768832711e-15 -5.961867024467e-16 + 636 2.606062698120e-10 4.076443259703e-12 4.982450909300e-13 1.017658365277e-14 3.080432685643e-14 3.594603326061e-15 -5.992917905450e-16 + 637 2.597357981031e-10 4.111312197649e-12 3.308894863586e-13 1.018270160069e-14 3.062803019784e-14 3.625282595523e-15 -6.023045941907e-16 + 638 2.588832802617e-10 4.145774232345e-12 1.603979885847e-13 1.018876000035e-14 3.045301195774e-14 3.655798830413e-15 -6.052263540918e-16 + 639 2.580490660090e-10 4.179816345370e-12 -1.315639536198e-14 1.019476269946e-14 3.027926331029e-14 3.686144144701e-15 -6.080583354056e-16 + 640 2.572335073478e-10 4.213425401181e-12 -1.896995297514e-13 1.020071359404e-14 3.010677511875e-14 3.716310576754e-15 -6.108018278468e-16 + 641 2.564369585686e-10 4.246588146713e-12 -3.691561455051e-13 1.020661662857e-14 2.993553793388e-14 3.746290089077e-15 -6.134581457944e-16 + 642 2.556597762554e-10 4.279291210995e-12 -5.514498355482e-13 1.021247579623e-14 2.976554199242e-14 3.776074568048e-15 -6.160286283997e-16 + 643 2.549023192911e-10 4.311521104750e-12 -7.365030501619e-13 1.021829513901e-14 2.959677721555e-14 3.805655823661e-15 -6.185146396939e-16 + 644 2.541649488638e-10 4.343264220006e-12 -9.242370923352e-13 1.022407874795e-14 2.942923320736e-14 3.835025589264e-15 -6.209175686951e-16 + 645 2.534480284721e-10 4.374506829703e-12 -1.114572113117e-12 1.022983076330e-14 2.926289925328e-14 3.864175521299e-15 -6.232388295166e-16 + 646 2.527519239311e-10 4.405235087302e-12 -1.307427106970e-12 1.023555537468e-14 2.909776431858e-14 3.893097199041e-15 -6.254798614737e-16 + 647 2.520770033784e-10 4.435435026387e-12 -1.502719907118e-12 1.024125682131e-14 2.893381704677e-14 3.921782124337e-15 -6.276421291919e-16 + 648 2.514236372794e-10 4.465092560282e-12 -1.700367180905e-12 1.024693939217e-14 2.877104575811e-14 3.950221721347e-15 -6.297271227141e-16 + 649 2.507921984334e-10 4.494193481648e-12 -1.900284425142e-12 1.025260742617e-14 2.860943844807e-14 3.978407336282e-15 -6.317363576082e-16 + 650 2.501830619792e-10 4.522723462098e-12 -2.102385961460e-12 1.025826531234e-14 2.844898278573e-14 4.006330237143e-15 -6.336713750746e-16 + 651 2.495966054013e-10 4.550668051802e-12 -2.306584931665e-12 1.026391749003e-14 2.828966611232e-14 4.033981613463e-15 -6.355337420539e-16 + 652 2.490332085348e-10 4.578012679094e-12 -2.512793293085e-12 1.026956844907e-14 2.813147543960e-14 4.061352576044e-15 -6.373250513343e-16 + 653 2.484932535723e-10 4.604742650079e-12 -2.720921813928e-12 1.027522272997e-14 2.797439744838e-14 4.088434156698e-15 -6.390469216592e-16 + 654 2.479771250687e-10 4.630843148244e-12 -2.930880068631e-12 1.028088492409e-14 2.781841848695e-14 4.115217307986e-15 -6.407009978349e-16 + 655 2.474852099476e-10 4.656299234060e-12 -3.142576433210e-12 1.028655967381e-14 2.766352456953e-14 4.141692902954e-15 -6.422889508378e-16 + 656 2.470178975067e-10 4.681095844594e-12 -3.355918080617e-12 1.029225167277e-14 2.750970137476e-14 4.167851734880e-15 -6.438124779223e-16 + 657 2.465755794238e-10 4.705217793115e-12 -3.570810976089e-12 1.029796566596e-14 2.735693424414e-14 4.193684517006e-15 -6.452733027282e-16 + 658 2.461586497627e-10 4.728649768702e-12 -3.787159872501e-12 1.030370645001e-14 2.720520818048e-14 4.219181882283e-15 -6.466731753883e-16 + 659 2.457675049784e-10 4.751376335849e-12 -4.004868305718e-12 1.030947887327e-14 2.705450784636e-14 4.244334383106e-15 -6.480138726357e-16 + 660 2.454025439235e-10 4.773381934076e-12 -4.223838589946e-12 1.031528783606e-14 2.690481756261e-14 4.269132491056e-15 -6.492971979117e-16 + 661 2.450640902128e-10 4.794653086008e-12 -4.443975264973e-12 1.032113784073e-14 2.675612351080e-14 4.293568464950e-15 -6.505244952188e-16 + 662 2.447521574271e-10 4.815185075868e-12 -4.665195530732e-12 1.032703163057e-14 2.660842039711e-14 4.317642000743e-15 -6.516951786944e-16 + 663 2.444666787428e-10 4.834975417476e-12 -4.887419033644e-12 1.033297152126e-14 2.646170493236e-14 4.341354705698e-15 -6.528081708240e-16 + 664 2.442075840892e-10 4.854021659334e-12 -5.110564431874e-12 1.033895984827e-14 2.631597364034e-14 4.364708241613e-15 -6.538623857346e-16 + 665 2.439748001326e-10 4.872321384827e-12 -5.334549391627e-12 1.034499896699e-14 2.617122285688e-14 4.387704325069e-15 -6.548567291682e-16 + 666 2.437682502608e-10 4.889872212447e-12 -5.559290583448e-12 1.035109125271e-14 2.602744872888e-14 4.410344727683e-15 -6.557900984565e-16 + 667 2.435878545677e-10 4.906671795997e-12 -5.784703678520e-12 1.035723910075e-14 2.588464721344e-14 4.432631276358e-15 -6.566613824946e-16 + 668 2.434335298377e-10 4.922717824810e-12 -6.010703344965e-12 1.036344492647e-14 2.574281407683e-14 4.454565853540e-15 -6.574694617158e-16 + 669 2.433051895302e-10 4.938008023961e-12 -6.237203244139e-12 1.036971116535e-14 2.560194489364e-14 4.476150397463e-15 -6.582132080655e-16 + 670 2.432027437643e-10 4.952540154479e-12 -6.464116026934e-12 1.037604027306e-14 2.546203504580e-14 4.497386902405e-15 -6.588914849752e-16 + 671 2.431260993028e-10 4.966312013560e-12 -6.691353330077e-12 1.038243472548e-14 2.532307972163e-14 4.518277418939e-15 -6.595031473371e-16 + 672 2.430751595371e-10 4.979321434780e-12 -6.918825772424e-12 1.038889701882e-14 2.518507391495e-14 4.538824054185e-15 -6.600470414780e-16 + 673 2.430498244716e-10 4.991566288311e-12 -7.146442951267e-12 1.039542966960e-14 2.504801242410e-14 4.559028972059e-15 -6.605220051337e-16 + 674 2.430499907081e-10 5.003044481132e-12 -7.374113438622e-12 1.040203521480e-14 2.491188985102e-14 4.578894393532e-15 -6.609268674230e-16 + 675 2.430755514303e-10 5.013753957239e-12 -7.601744777539e-12 1.040871621184e-14 2.477670060031e-14 4.598422596871e-15 -6.612604488221e-16 + 676 2.431263963883e-10 5.023692697866e-12 -7.829243478393e-12 1.041547523867e-14 2.464243887832e-14 4.617615917903e-15 -6.615215611388e-16 + 677 2.432024118832e-10 5.032858721689e-12 -8.056515015185e-12 1.042231489385e-14 2.450909869215e-14 4.636476750255e-15 -6.617090074864e-16 + 678 2.433034807514e-10 5.041250085047e-12 -8.283463821841e-12 1.042923779658e-14 2.437667384879e-14 4.655007545616e-15 -6.618215822582e-16 + 679 2.434294823492e-10 5.048864882149e-12 -8.509993288511e-12 1.043624658678e-14 2.424515795410e-14 4.673210813982e-15 -6.618580711018e-16 + 680 2.435802925372e-10 5.055701245292e-12 -8.736005757869e-12 1.044334392511e-14 2.411454441197e-14 4.691089123909e-15 -6.618172508928e-16 + 681 2.437557836648e-10 5.061757345071e-12 -8.961402521407e-12 1.045053249308e-14 2.398482642329e-14 4.708645102768e-15 -6.616978897097e-16 + 682 2.439558245550e-10 5.067031390593e-12 -9.186083815740e-12 1.045781499308e-14 2.385599698506e-14 4.725881436995e-15 -6.614987468074e-16 + 683 2.441802804882e-10 5.071521629691e-12 -9.409948818899e-12 1.046519414846e-14 2.372804888947e-14 4.742800872339e-15 -6.612185725918e-16 + 684 2.444290131874e-10 5.075226349135e-12 -9.632895646636e-12 1.047267270354e-14 2.360097472292e-14 4.759406214122e-15 -6.608561085941e-16 + 685 2.447018808022e-10 5.078143874849e-12 -9.854821348715e-12 1.048025342374e-14 2.347476686511e-14 4.775700327481e-15 -6.604100874446e-16 + 686 2.449987378936e-10 5.080272572119e-12 -1.007562190522e-11 1.048793909559e-14 2.334941748809e-14 4.791686137630e-15 -6.598792328474e-16 + 687 2.453194354182e-10 5.081610845811e-12 -1.029519222284e-11 1.049573252679e-14 2.322491855534e-14 4.807366630103e-15 -6.592622595539e-16 + 688 2.456638207130e-10 5.082157140580e-12 -1.051342613119e-11 1.050363654630e-14 2.310126182081e-14 4.822744851011e-15 -6.585578733380e-16 + 689 2.460317374797e-10 5.081909941086e-12 -1.073021637908e-11 1.051165400436e-14 2.297843882800e-14 4.837823907292e-15 -6.577647709692e-16 + 690 2.464230257689e-10 5.080867772207e-12 -1.094545463085e-11 1.051978777260e-14 2.285644090902e-14 4.852606966962e-15 -6.568816401876e-16 + 691 2.468375219653e-10 5.079029199251e-12 -1.115903146263e-11 1.052804074403e-14 2.273525918367e-14 4.867097259371e-15 -6.559071596779e-16 + 692 2.472750587715e-10 5.076392828168e-12 -1.137083635866e-11 1.053641583318e-14 2.261488455844e-14 4.881298075447e-15 -6.548399990433e-16 + 693 2.477354651929e-10 5.072957305767e-12 -1.158075770761e-11 1.054491597608e-14 2.249530772567e-14 4.895212767957e-15 -6.536788187802e-16 + 694 2.482185665219e-10 5.068721319925e-12 -1.178868279881e-11 1.055354413038e-14 2.237651916252e-14 4.908844751753e-15 -6.524222702520e-16 + 695 2.487241843227e-10 5.063683599802e-12 -1.199449781864e-11 1.056230327537e-14 2.225850913010e-14 4.922197504022e-15 -6.510689956634e-16 + 696 2.492521364156e-10 5.057842916055e-12 -1.219808784676e-11 1.057119641207e-14 2.214126767248e-14 4.935274564546e-15 -6.496176280347e-16 + 697 2.498022368613e-10 5.051198081051e-12 -1.239933685242e-11 1.058022656326e-14 2.202478461582e-14 4.948079535945e-15 -6.480667911761e-16 + 698 2.503742959457e-10 5.043747949076e-12 -1.259812769081e-11 1.058939677357e-14 2.190904956736e-14 4.960616083933e-15 -6.464150996613e-16 + 699 2.509681201644e-10 5.035491416555e-12 -1.279434209926e-11 1.059871010949e-14 2.179405191452e-14 4.972887937571e-15 -6.446611588027e-16 + 700 2.515834828872e-10 5.026428973499e-12 -1.298787223986e-11 1.060816910917e-14 2.167978227120e-14 4.984898140468e-15 -6.428041395316e-16 + 701 2.522200357140e-10 5.016567392895e-12 -1.317865559814e-11 1.061777411881e-14 2.156623685148e-14 4.996646786764e-15 -6.408455162344e-16 + 702 2.528773952420e-10 5.005915139422e-12 -1.336664080397e-11 1.062752492171e-14 2.145341318520e-14 5.008133238486e-15 -6.387873650654e-16 + 703 2.535551721953e-10 4.994480827648e-12 -1.355177615033e-11 1.063742128538e-14 2.134130867832e-14 5.019356870395e-15 -6.366317924330e-16 + 704 2.542529714023e-10 4.982273222624e-12 -1.373400959238e-11 1.064746296144e-14 2.122992061240e-14 5.030317070053e-15 -6.343809351142e-16 + 705 2.549703917730e-10 4.969301240475e-12 -1.391328874661e-11 1.065764968557e-14 2.111924614398e-14 5.041013237891e-15 -6.320369603698e-16 + 706 2.557070262764e-10 4.955573948994e-12 -1.408956088999e-11 1.066798117743e-14 2.100928230404e-14 5.051444787280e-15 -6.296020660586e-16 + 707 2.564624619176e-10 4.941100568233e-12 -1.426277295903e-11 1.067845714058e-14 2.090002599735e-14 5.061611144596e-15 -6.270784807528e-16 + 708 2.572362797155e-10 4.925890471097e-12 -1.443287154897e-11 1.068907726240e-14 2.079147400197e-14 5.071511749293e-15 -6.244684638526e-16 + 709 2.580280546796e-10 4.909953183936e-12 -1.459980291285e-11 1.069984121403e-14 2.068362296859e-14 5.081146053969e-15 -6.217743057006e-16 + 710 2.588373557877e-10 4.893298387137e-12 -1.476351296066e-11 1.071074865027e-14 2.057646941999e-14 5.090513524436e-15 -6.189983276973e-16 + 711 2.596637459632e-10 4.875935915715e-12 -1.492394725845e-11 1.072179920954e-14 2.047000975046e-14 5.099613639784e-15 -6.161428824154e-16 + 712 2.605067820522e-10 4.857875759910e-12 -1.508105102747e-11 1.073299251378e-14 2.036424022520e-14 5.108445892459e-15 -6.132103537145e-16 + 713 2.613660148009e-10 4.839128065775e-12 -1.523476914326e-11 1.074432816835e-14 2.025915697972e-14 5.117009788321e-15 -6.102031568565e-16 + 714 2.622409888331e-10 4.819703135770e-12 -1.538504613481e-11 1.075580576202e-14 2.015475601931e-14 5.125304846721e-15 -6.071237386196e-16 + 715 2.631312426272e-10 4.799611429356e-12 -1.553182618366e-11 1.076742486685e-14 2.005103321841e-14 5.133330600564e-15 -6.039745774139e-16 + 716 2.640363084938e-10 4.778863563586e-12 -1.567505312302e-11 1.077918503811e-14 1.994798432003e-14 5.141086596381e-15 -6.007581833954e-16 + 717 2.649557125527e-10 4.757470313696e-12 -1.581467043690e-11 1.079108581422e-14 1.984560493522e-14 5.148572394396e-15 -5.974770985815e-16 + 718 2.658889747106e-10 4.735442613701e-12 -1.595062125924e-11 1.080312671669e-14 1.974389054240e-14 5.155787568597e-15 -5.941338969654e-16 + 719 2.668356086383e-10 4.712791556985e-12 -1.608284837301e-11 1.081530724999e-14 1.964283648686e-14 5.162731706799e-15 -5.907311846308e-16 + 720 2.677951217476e-10 4.689528396894e-12 -1.621129420937e-11 1.082762690155e-14 1.954243798011e-14 5.169404410720e-15 -5.872715998670e-16 + 721 2.687670151692e-10 4.665664547329e-12 -1.633590084674e-11 1.084008514163e-14 1.944269009935e-14 5.175805296045e-15 -5.837578132837e-16 + 722 2.697507837297e-10 4.641211583337e-12 -1.645661000998e-11 1.085268142324e-14 1.934358778687e-14 5.181933992493e-15 -5.801925279255e-16 + 723 2.707459159291e-10 4.616181241707e-12 -1.657336306945e-11 1.086541518212e-14 1.924512584943e-14 5.187790143892e-15 -5.765784793867e-16 + 724 2.717518939178e-10 4.590585421558e-12 -1.668610104019e-11 1.087828583661e-14 1.914729895774e-14 5.193373408242e-15 -5.729184359266e-16 + 725 2.727681934742e-10 4.564436184934e-12 -1.679476458101e-11 1.089129278759e-14 1.905010164584e-14 5.198683457786e-15 -5.692151985836e-16 + 726 2.737942839820e-10 4.537745757397e-12 -1.689929399363e-11 1.090443541841e-14 1.895352831051e-14 5.203719979078e-15 -5.654716012907e-16 + 727 2.748296284072e-10 4.510526528617e-12 -1.699962922178e-11 1.091771309483e-14 1.885757321070e-14 5.208482673050e-15 -5.616905109895e-16 + 728 2.758736832759e-10 4.482791052968e-12 -1.709570985034e-11 1.093112516491e-14 1.876223046697e-14 5.212971255086e-15 -5.578748277457e-16 + 729 2.769258986514e-10 4.454552050118e-12 -1.718747510445e-11 1.094467095896e-14 1.866749406086e-14 5.217185455085e-15 -5.540274848637e-16 + 730 2.779857181112e-10 4.425822405620e-12 -1.727486384866e-11 1.095834978944e-14 1.857335783433e-14 5.221125017530e-15 -5.501514490009e-16 + 731 2.790525787249e-10 4.396615171509e-12 -1.735781458601e-11 1.097216095093e-14 1.847981548920e-14 5.224789701562e-15 -5.462497202834e-16 + 732 2.801259110311e-10 4.366943566891e-12 -1.743626545719e-11 1.098610372000e-14 1.838686058653e-14 5.228179281041e-15 -5.423253324199e-16 + 733 2.812051390147e-10 4.336820978538e-12 -1.751015423964e-11 1.100017735518e-14 1.829448654605e-14 5.231293544621e-15 -5.383813528171e-16 + 734 2.822896800845e-10 4.306260961476e-12 -1.757941834667e-11 1.101438109685e-14 1.820268664557e-14 5.234132295815e-15 -5.344208826942e-16 + 735 2.833789450504e-10 4.275277239584e-12 -1.764399482662e-11 1.102871416719e-14 1.811145402044e-14 5.236695353065e-15 -5.304470571979e-16 + 736 2.844723381006e-10 4.243883706180e-12 -1.770382036192e-11 1.104317577008e-14 1.802078166290e-14 5.238982549812e-15 -5.264630455169e-16 + 737 2.855692567789e-10 4.212094424618e-12 -1.775883126827e-11 1.105776509106e-14 1.793066242154e-14 5.240993734560e-15 -5.224720509970e-16 + 738 2.866690919622e-10 4.179923628880e-12 -1.780896349373e-11 1.107248129722e-14 1.784108900071e-14 5.242728770950e-15 -5.184773112556e-16 + 739 2.877712592294e-10 4.147385626148e-12 -1.785416501378e-11 1.108732324388e-14 1.775205492721e-14 5.244187347343e-15 -5.144814520579e-16 + 740 2.888752936930e-10 4.114494501229e-12 -1.789443328656e-11 1.110228858848e-14 1.766355747255e-14 5.245368401322e-15 -5.104845347224e-16 + 741 2.899807569942e-10 4.081264407471e-12 -1.792977853518e-11 1.111737465902e-14 1.757559478720e-14 5.246270683965e-15 -5.064859704038e-16 + 742 2.910872060651e-10 4.047709664823e-12 -1.796021142053e-11 1.113257874565e-14 1.748816493818e-14 5.246892949333e-15 -5.024851628145e-16 + 743 2.921941931130e-10 4.013844760405e-12 -1.798574304318e-11 1.114789810050e-14 1.740126590871e-14 5.247233954490e-15 -4.984815081971e-16 + 744 2.933012656042e-10 3.979684349078e-12 -1.800638494518e-11 1.116332993755e-14 1.731489559780e-14 5.247292459530e-15 -4.944743952980e-16 + 745 2.944079662489e-10 3.945243254020e-12 -1.802214911194e-11 1.117887143247e-14 1.722905181991e-14 5.247067227609e-15 -4.904632053397e-16 + 746 2.955138329845e-10 3.910536467290e-12 -1.803304797405e-11 1.119451972250e-14 1.714373230454e-14 5.246557024967e-15 -4.864473119942e-16 + 747 2.966183989608e-10 3.875579150403e-12 -1.803909440910e-11 1.121027190633e-14 1.705893469593e-14 5.245760620957e-15 -4.824260813561e-16 + 748 2.977211925232e-10 3.840386634901e-12 -1.804030174359e-11 1.122612504390e-14 1.697465655261e-14 5.244676788070e-15 -4.783988719151e-16 + 749 2.988217371977e-10 3.804974422923e-12 -1.803668375471e-11 1.124207615631e-14 1.689089534707e-14 5.243304301966e-15 -4.743650345296e-16 + 750 2.999195516749e-10 3.769358187776e-12 -1.802825467221e-11 1.125812222568e-14 1.680764846541e-14 5.241641941494e-15 -4.703239123992e-16 + 751 3.010141497937e-10 3.733553774507e-12 -1.801502918022e-11 1.127426019497e-14 1.672491320691e-14 5.239688488725e-15 -4.662748410377e-16 + 752 3.021050405264e-10 3.697577200472e-12 -1.799702241912e-11 1.129048696790e-14 1.664268678371e-14 5.237442728978e-15 -4.622171482466e-16 + 753 3.031917279619e-10 3.661444655908e-12 -1.797424998739e-11 1.130679940874e-14 1.656096632042e-14 5.234903450842e-15 -4.581501540874e-16 + 754 3.042737112909e-10 3.625172504506e-12 -1.794672794340e-11 1.132319434224e-14 1.647974885374e-14 5.232069446208e-15 -4.540731708551e-16 + 755 3.053504847894e-10 3.588777283979e-12 -1.791447280730e-11 1.133966855343e-14 1.639903133213e-14 5.228939510295e-15 -4.499855030511e-16 + 756 3.064215378030e-10 3.552275706635e-12 -1.787750156286e-11 1.135621878754e-14 1.631881061537e-14 5.225512441675e-15 -4.458864473557e-16 + 757 3.074863547314e-10 3.515684659944e-12 -1.783583165929e-11 1.137284174979e-14 1.623908347425e-14 5.221787042300e-15 -4.417752926019e-16 + 758 3.085444150124e-10 3.479021207117e-12 -1.778948101310e-11 1.138953410531e-14 1.615984659019e-14 5.217762117530e-15 -4.376513197478e-16 + 759 3.095951931060e-10 3.442302587669e-12 -1.773846800992e-11 1.140629247898e-14 1.608109655483e-14 5.213436476160e-15 -4.335138018497e-16 + 760 3.106381584791e-10 3.405546217993e-12 -1.768281150637e-11 1.142311345529e-14 1.600282986971e-14 5.208808930445e-15 -4.293620040351e-16 + 761 3.116727755888e-10 3.368769691933e-12 -1.762253083189e-11 1.143999357818e-14 1.592504294586e-14 5.203878296130e-15 -4.251951834759e-16 + 762 3.126985038677e-10 3.331990781350e-12 -1.755764579059e-11 1.145692935094e-14 1.584773210345e-14 5.198643392473e-15 -4.210125893612e-16 + 763 3.137147977070e-10 3.295227436699e-12 -1.748817666308e-11 1.147391723604e-14 1.577089357142e-14 5.193103042274e-15 -4.168134628700e-16 + 764 3.147211064418e-10 3.258497787595e-12 -1.741414420831e-11 1.149095365500e-14 1.569452348710e-14 5.187256071902e-15 -4.125970371449e-16 + 765 3.157168743343e-10 3.221820143387e-12 -1.733556966543e-11 1.150803498824e-14 1.561861789585e-14 5.181101311321e-15 -4.083625372644e-16 + 766 3.167015405586e-10 3.185212993729e-12 -1.725247475563e-11 1.152515757498e-14 1.554317275065e-14 5.174637594117e-15 -4.041091802162e-16 + 767 3.176745391850e-10 3.148695009147e-12 -1.716488168395e-11 1.154231771304e-14 1.546818391181e-14 5.167863757526e-15 -3.998361748702e-16 + 768 3.186352991635e-10 3.112285041616e-12 -1.707281314118e-11 1.155951165874e-14 1.539364714652e-14 5.160778642458e-15 -3.955427219514e-16 + 769 3.195832443089e-10 3.076002125125e-12 -1.697629230564e-11 1.157673562675e-14 1.531955812851e-14 5.153381093528e-15 -3.912280140129e-16 + 770 3.205177932843e-10 3.039865476254e-12 -1.687534284508e-11 1.159398578996e-14 1.524591243770e-14 5.145669959078e-15 -3.868912354091e-16 + 771 3.214383595858e-10 3.003894494739e-12 -1.676998891848e-11 1.161125827932e-14 1.517270555978e-14 5.137644091207e-15 -3.825315622681e-16 + 772 3.223443515262e-10 2.968108764048e-12 -1.666025517792e-11 1.162854918372e-14 1.509993288589e-14 5.129302345799e-15 -3.781481624654e-16 + 773 3.232351722196e-10 2.932528051949e-12 -1.654616677038e-11 1.164585454982e-14 1.502758971222e-14 5.120643582546e-15 -3.737401955965e-16 + 774 3.241102195656e-10 2.897172311082e-12 -1.642774933966e-11 1.166317038197e-14 1.495567123965e-14 5.111666664977e-15 -3.693068129499e-16 + 775 3.249688862332e-10 2.862061679530e-12 -1.630502902813e-11 1.168049264200e-14 1.488417257335e-14 5.102370460485e-15 -3.648471574802e-16 + 776 3.258105596454e-10 2.827216481388e-12 -1.617803247865e-11 1.169781724912e-14 1.481308872248e-14 5.092753840354e-15 -3.603603637809e-16 + 777 3.266346219629e-10 2.792657227338e-12 -1.604678683636e-11 1.171514007978e-14 1.474241459974e-14 5.082815679782e-15 -3.558455580576e-16 + 778 3.274405178548e-10 2.758402910840e-12 -1.591132561269e-11 1.173245711611e-14 1.467214567795e-14 5.072555832484e-15 -3.513021628245e-16 + 779 3.282279592340e-10 2.724465860518e-12 -1.577170639419e-11 1.174976489464e-14 1.460227997388e-14 5.061978074455e-15 -3.467308173138e-16 + 780 3.289967243295e-10 2.690856792374e-12 -1.562799346940e-11 1.176706006573e-14 1.453281610089e-14 5.051087215458e-15 -3.421324742734e-16 + 781 3.297465902463e-10 2.657586505650e-12 -1.548025199987e-11 1.178433924560e-14 1.446375261512e-14 5.039888129682e-15 -3.375080968397e-16 + 782 3.304773329626e-10 2.624665883065e-12 -1.532854802310e-11 1.180159901627e-14 1.439508801528e-14 5.028385755956e-15 -3.328586585714e-16 + 783 3.311887273277e-10 2.592105891047e-12 -1.517294845556e-11 1.181883592540e-14 1.432682074242e-14 5.016585097970e-15 -3.281851434829e-16 + 784 3.318805470595e-10 2.559917579966e-12 -1.501352109573e-11 1.183604648622e-14 1.425894917964e-14 5.004491224497e-15 -3.234885460769e-16 + 785 3.325525647421e-10 2.528112084366e-12 -1.485033462703e-11 1.185322717738e-14 1.419147165190e-14 4.992109269611e-15 -3.187698713788e-16 + 786 3.332045518235e-10 2.496700623205e-12 -1.468345862089e-11 1.187037444288e-14 1.412438642574e-14 4.979444432907e-15 -3.140301349690e-16 + 787 3.338362786134e-10 2.465694500078e-12 -1.451296353973e-11 1.188748469194e-14 1.405769170909e-14 4.966501979722e-15 -3.092703630171e-16 + 788 3.344475142803e-10 2.435105103462e-12 -1.433892073996e-11 1.190455429887e-14 1.399138565095e-14 4.953287241352e-15 -3.044915923143e-16 + 789 3.350380268498e-10 2.404943906941e-12 -1.416140247497e-11 1.192157960299e-14 1.392546634125e-14 4.939805615275e-15 -2.996948703077e-16 + 790 3.356075832016e-10 2.375222469443e-12 -1.398048189817e-11 1.193855690853e-14 1.385993181051e-14 4.926062565370e-15 -2.948812551329e-16 + 791 3.361559490676e-10 2.345952435472e-12 -1.379623306595e-11 1.195548248447e-14 1.379478002968e-14 4.912063622134e-15 -2.900518156475e-16 + 792 3.366828890292e-10 2.317145535346e-12 -1.360873094072e-11 1.197235256446e-14 1.373000890984e-14 4.897814382905e-15 -2.852076314646e-16 + 793 3.371881665152e-10 2.288813585423e-12 -1.341805139389e-11 1.198916334674e-14 1.366561630199e-14 4.883320512082e-15 -2.803497929862e-16 + 794 3.376715437991e-10 2.260968488341e-12 -1.322427120888e-11 1.200591099395e-14 1.360159999681e-14 4.868587741341e-15 -2.754794014359e-16 + 795 3.381327819971e-10 2.233622233247e-12 -1.302746808413e-11 1.202259163312e-14 1.353795772440e-14 4.853621869861e-15 -2.705975688929e-16 + 796 3.385716410654e-10 2.206786896036e-12 -1.282772063608e-11 1.203920135546e-14 1.347468715408e-14 4.838428764536e-15 -2.657054183251e-16 + 797 3.389878797980e-10 2.180474639579e-12 -1.262510840221e-11 1.205573621634e-14 1.341178589409e-14 4.823014360201e-15 -2.608040836224e-16 + 798 3.393812558242e-10 2.154697713957e-12 -1.241971184402e-11 1.207219223509e-14 1.334925149139e-14 4.807384659851e-15 -2.558947096299e-16 + 799 3.397515256066e-10 2.129468456699e-12 -1.221161235003e-11 1.208856539497e-14 1.328708143142e-14 4.791545734857e-15 -2.509784521814e-16 + 800 3.400984444380e-10 2.104799293012e-12 -1.200089223878e-11 1.210485164302e-14 1.322527313783e-14 4.775503725189e-15 -2.460564781327e-16 + 801 3.404217664397e-10 2.080702736014e-12 -1.178763476187e-11 1.212104688996e-14 1.316382397229e-14 4.759264839636e-15 -2.411299653949e-16 + 802 3.407212445590e-10 2.057191386969e-12 -1.157192410690e-11 1.213714701004e-14 1.310273123417e-14 4.742835356024e-15 -2.362001029675e-16 + 803 3.409966305665e-10 2.034277935522e-12 -1.135384540054e-11 1.215314784102e-14 1.304199216040e-14 4.726221621438e-15 -2.312680909722e-16 + 804 3.412476750539e-10 2.011975159928e-12 -1.113348471150e-11 1.216904518397e-14 1.298160392514e-14 4.709430052438e-15 -2.263351406858e-16 + 805 3.414741274319e-10 1.990295927291e-12 -1.091092905350e-11 1.218483480319e-14 1.292156363959e-14 4.692467135284e-15 -2.214024745737e-16 + 806 3.416757359273e-10 1.969253193793e-12 -1.068626638836e-11 1.220051242612e-14 1.286186835173e-14 4.675339426151e-15 -2.164713263232e-16 + 807 3.418522475811e-10 1.948860004930e-12 -1.045958562891e-11 1.221607374321e-14 1.280251504609e-14 4.658053551351e-15 -2.115429408768e-16 + 808 3.420034082459e-10 1.929129495743e-12 -1.023097664205e-11 1.223151440781e-14 1.274350064350e-14 4.640616207555e-15 -2.066185744656e-16 + 809 3.421289625835e-10 1.910074891056e-12 -1.000053025174e-11 1.224683003607e-14 1.268482200085e-14 4.623034162006e-15 -2.016994946424e-16 + 810 3.422286540626e-10 1.891709505706e-12 -9.768338242009e-12 1.226201620680e-14 1.262647591087e-14 4.605314252748e-15 -1.967869803154e-16 + 811 3.423022249564e-10 1.874046744777e-12 -9.534493359927e-12 1.227706846142e-14 1.256845910184e-14 4.587463388838e-15 -1.918823217812e-16 + 812 3.423494163403e-10 1.857100103833e-12 -9.299089318649e-12 1.229198230377e-14 1.251076823741e-14 4.569488550569e-15 -1.869868207581e-16 + 813 3.423699680894e-10 1.840883169154e-12 -9.062220800396e-12 1.230675320007e-14 1.245339991632e-14 4.551396789691e-15 -1.821017904197e-16 + 814 3.423636188762e-10 1.825409617967e-12 -8.823983459462e-12 1.232137657878e-14 1.239635067217e-14 4.533195229628e-15 -1.772285554281e-16 + 815 3.423301061680e-10 1.810693218680e-12 -8.584473925218e-12 1.233584783046e-14 1.233961697317e-14 4.514891065700e-15 -1.723684519670e-16 + 816 3.422691662252e-10 1.796747831117e-12 -8.343789805117e-12 1.235016230774e-14 1.228319522193e-14 4.496491565341e-15 -1.675228277755e-16 + 817 3.421805964536e-10 1.783585137739e-12 -8.102025916984e-12 1.236431581223e-14 1.222708220808e-14 4.478002878059e-15 -1.626928406943e-16 + 818 3.420644436913e-10 1.771207792402e-12 -7.859262906053e-12 1.237830606535e-14 1.217127647568e-14 4.459426441560e-15 -1.578788502944e-16 + 819 3.419208192803e-10 1.759616149686e-12 -7.615578430560e-12 1.239213126357e-14 1.211577697974e-14 4.440762511863e-15 -1.530810154478e-16 + 820 3.417498370254e-10 1.748810522640e-12 -7.371050916352e-12 1.240578959370e-14 1.206058263546e-14 4.422011347753e-15 -1.482994948267e-16 + 821 3.415516132022e-10 1.738791182610e-12 -7.125759559211e-12 1.241927923285e-14 1.200569231797e-14 4.403173210788e-15 -1.435344469006e-16 + 822 3.413262665663e-10 1.729558359066e-12 -6.879784327182e-12 1.243259834838e-14 1.195110486225e-14 4.384248365299e-15 -1.387860299331e-16 + 823 3.410739183622e-10 1.721112239426e-12 -6.633205962896e-12 1.244574509793e-14 1.189681906293e-14 4.365237078405e-15 -1.340544019797e-16 + 824 3.407946923317e-10 1.713452968883e-12 -6.386105985901e-12 1.245871762934e-14 1.184283367415e-14 4.346139620012e-15 -1.293397208843e-16 + 825 3.404887147234e-10 1.706580650232e-12 -6.138566694982e-12 1.247151408069e-14 1.178914740938e-14 4.326956262822e-15 -1.246421442769e-16 + 826 3.401561143007e-10 1.700495343694e-12 -5.890671170495e-12 1.248413258020e-14 1.173575894129e-14 4.307687282339e-15 -1.199618295704e-16 + 827 3.397970223514e-10 1.695197066745e-12 -5.642503276683e-12 1.249657124630e-14 1.168266690154e-14 4.288332956874e-15 -1.152989339575e-16 + 828 3.394115726960e-10 1.690685793938e-12 -5.394147664013e-12 1.250882818750e-14 1.162986988070e-14 4.268893567552e-15 -1.106536144086e-16 + 829 3.389999016966e-10 1.686961456734e-12 -5.145689771491e-12 1.252090150247e-14 1.157736642800e-14 4.249369398319e-15 -1.060260276683e-16 + 830 3.385621482661e-10 1.684023943324e-12 -4.897215828999e-12 1.253278927996e-14 1.152515505125e-14 4.229760735944e-15 -1.014163302526e-16 + 831 3.380984538764e-10 1.681873098459e-12 -4.648812859613e-12 1.254448959877e-14 1.147323421662e-14 4.210067870032e-15 -9.682467844650e-17 + 832 3.376089625677e-10 1.680508723270e-12 -4.400568681932e-12 1.255600052777e-14 1.142160234852e-14 4.190291093023e-15 -9.225122830060e-17 + 833 3.370938209573e-10 1.679930575102e-12 -4.152571912406e-12 1.256732012582e-14 1.137025782943e-14 4.170430700201e-15 -8.769613562854e-17 + 834 3.365531782482e-10 1.680138367334e-12 -3.904911967657e-12 1.257844644183e-14 1.131919899973e-14 4.150486989702e-15 -8.315955600409e-17 + 835 3.359871862378e-10 1.681131769206e-12 -3.657679066811e-12 1.258937751463e-14 1.126842415754e-14 4.130460262518e-15 -7.864164475826e-17 + 836 3.353959993274e-10 1.682910405649e-12 -3.410964233820e-12 1.260011137304e-14 1.121793155860e-14 4.110350822502e-15 -7.414255697648e-17 + 837 3.347797745301e-10 1.685473857107e-12 -3.164859299790e-12 1.261064603581e-14 1.116771941604e-14 4.090158976376e-15 -6.966244749573e-17 + 838 3.341386714804e-10 1.688821659363e-12 -2.919456905306e-12 1.262097951158e-14 1.111778590029e-14 4.069885033737e-15 -6.520147090165e-17 + 839 3.334728524425e-10 1.692953303369e-12 -2.674850502759e-12 1.263110979889e-14 1.106812913888e-14 4.049529307061e-15 -6.075978152575e-17 + 840 3.327824823194e-10 1.697868235067e-12 -2.431134358672e-12 1.264103488613e-14 1.101874721629e-14 4.029092111713e-15 -5.633753344250e-17 + 841 3.320677286618e-10 1.703565855221e-12 -2.188403556025e-12 1.265075275154e-14 1.096963817380e-14 4.008573765948e-15 -5.193488046649e-17 + 842 3.313287616765e-10 1.710045519236e-12 -1.946753996583e-12 1.266026136318e-14 1.092080000931e-14 3.987974590923e-15 -4.755197614957e-17 + 843 3.305657542357e-10 1.717306536991e-12 -1.706282403219e-12 1.266955867888e-14 1.087223067721e-14 3.967294910696e-15 -4.318897377801e-17 + 844 3.297788818855e-10 1.725348172661e-12 -1.467086322245e-12 1.267864264628e-14 1.082392808819e-14 3.946535052238e-15 -3.884602636961e-17 + 845 3.289683228548e-10 1.734169644544e-12 -1.229264125733e-12 1.268751120272e-14 1.077589010910e-14 3.925695345437e-15 -3.452328667089e-17 + 846 3.281342580643e-10 1.743770124886e-12 -9.929150138433e-13 1.269616227531e-14 1.072811456278e-14 3.904776123104e-15 -3.022090715419e-17 + 847 3.272768711350e-10 1.754148739709e-12 -7.581390171519e-13 1.270459378083e-14 1.068059922793e-14 3.883777720977e-15 -2.593904001482e-17 + 848 3.263963483974e-10 1.765304568639e-12 -5.250369989744e-13 1.271280362576e-14 1.063334183890e-14 3.862700477733e-15 -2.167783716824e-17 + 849 3.254928788999e-10 1.777236644725e-12 -2.937106576932e-13 1.272078970622e-14 1.058634008556e-14 3.841544734987e-15 -1.743745024715e-17 + 850 3.245666544180e-10 1.789943954273e-12 -6.426252908324e-14 1.272854990797e-14 1.053959161316e-14 3.820310837303e-15 -1.321803059868e-17 + 851 3.236178694628e-10 1.803425436667e-12 1.632040113617e-13 1.273608210639e-14 1.049309402212e-14 3.798999132197e-15 -9.019729281499e-18 + 852 3.226467212903e-10 1.817679984198e-12 3.885847461029e-13 1.274338416643e-14 1.044684486792e-14 3.777609970145e-15 -4.842697062985e-18 + 853 3.216534099095e-10 1.832706441887e-12 6.117746132308e-13 1.275045394263e-14 1.040084166091e-14 3.756143704589e-15 -6.870844163475e-19 + 854 3.206381380919e-10 1.848503607314e-12 8.326677041389e-13 1.275728927904e-14 1.035508186617e-14 3.734600691941e-15 3.446958482220e-18 + 855 3.196011113799e-10 1.865070230443e-12 1.051157261197e-12 1.276388800924e-14 1.030956290333e-14 3.712981291594e-15 7.559281756397e-18 + 856 3.185425608475e-10 1.882403563409e-12 1.267146340414e-12 1.277024846690e-14 1.026428246319e-14 3.691285759613e-15 1.164966707390e-17 + 857 3.174628117888e-10 1.900494983116e-12 1.480580003418e-12 1.277637102693e-14 1.021923946376e-14 3.669513927831e-15 1.571762008806e-17 + 858 3.163622162183e-10 1.919334293649e-12 1.691413669809e-12 1.278225659056e-14 1.017443311020e-14 3.647665519298e-15 1.976257446258e-17 + 859 3.152411302379e-10 1.938911169138e-12 1.899602501337e-12 1.278790607720e-14 1.012986257944e-14 3.625740254080e-15 2.378396030107e-17 + 860 3.140999140491e-10 1.959215153350e-12 2.105101401324e-12 1.279332042447e-14 1.008552702003e-14 3.603737849248e-15 2.778120413870e-17 + 861 3.129389319660e-10 1.980235659273e-12 2.307865014078e-12 1.279850058832e-14 1.004142555210e-14 3.581658018864e-15 3.175372893377e-17 + 862 3.117585524277e-10 2.001961968708e-12 2.507847724318e-12 1.280344754302e-14 9.997557267196e-15 3.559500473977e-15 3.570095405934e-17 + 863 3.105591480107e-10 2.024383231858e-12 2.705003656585e-12 1.280816228128e-14 9.953921228198e-15 3.537264922603e-15 3.962229529482e-17 + 864 3.093410954416e-10 2.047488466916e-12 2.899286674664e-12 1.281264581429e-14 9.910516469205e-15 3.514951069720e-15 4.351716481762e-17 + 865 3.081047756096e-10 2.071266559652e-12 3.090650381003e-12 1.281689917177e-14 9.867341995433e-15 3.492558617254e-15 4.738497119470e-17 + 866 3.068505735790e-10 2.095706263008e-12 3.279048116133e-12 1.282092340202e-14 9.824396783102e-15 3.470087264067e-15 5.122511937424e-17 + 867 3.055788786018e-10 2.120796196680e-12 3.464432958081e-12 1.282471957204e-14 9.781679779332e-15 3.447536705948e-15 5.503701067721e-17 + 868 3.042900841302e-10 2.146524846710e-12 3.646757721793e-12 1.282828876752e-14 9.739189902033e-15 3.424906635601e-15 5.882004278897e-17 + 869 3.029845878292e-10 2.172880565075e-12 3.825974958551e-12 1.283163209294e-14 9.696926039799e-15 3.402196742630e-15 6.257360975094e-17 + 870 3.016627915891e-10 2.199851569276e-12 4.002036955394e-12 1.283475067161e-14 9.654887051800e-15 3.379406713536e-15 6.629710195213e-17 + 871 3.003251015380e-10 2.227425941926e-12 4.174895734530e-12 1.283764564576e-14 9.613071767675e-15 3.356536231694e-15 6.998990612080e-17 + 872 2.989719280543e-10 2.255591630341e-12 4.344503052761e-12 1.284031817658e-14 9.571478987422e-15 3.333584977355e-15 7.365140531607e-17 + 873 2.976036857797e-10 2.284336446124e-12 4.510810400901e-12 1.284276944427e-14 9.530107481296e-15 3.310552627622e-15 7.728097891949e-17 + 874 2.962207936310e-10 2.313648064760e-12 4.673769003189e-12 1.284500064813e-14 9.488955989696e-15 3.287438856448e-15 8.087800262671e-17 + 875 2.948236748131e-10 2.343514025201e-12 4.833329816712e-12 1.284701300658e-14 9.448023223057e-15 3.264243334620e-15 8.444184843903e-17 + 876 2.934127568316e-10 2.373921729456e-12 4.989443530825e-12 1.284880775727e-14 9.407307861749e-15 3.240965729749e-15 8.797188465503e-17 + 877 2.919884715052e-10 2.404858442180e-12 5.142060566564e-12 1.285038615711e-14 9.366808555963e-15 3.217605706259e-15 9.146747586219e-17 + 878 2.905512549780e-10 2.436311290264e-12 5.291131076068e-12 1.285174948233e-14 9.326523925606e-15 3.194162925374e-15 9.492798292851e-17 + 879 2.891015477327e-10 2.468267262420e-12 5.436604941999e-12 1.285289902855e-14 9.286452560195e-15 3.170637045110e-15 9.835276299407e-17 + 880 2.876397946023e-10 2.500713208775e-12 5.578431776956e-12 1.285383611084e-14 9.246593018744e-15 3.147027720259e-15 1.017411694627e-16 + 881 2.861664447834e-10 2.533635840457e-12 5.716560922897e-12 1.285456206377e-14 9.206943829663e-15 3.123334602383e-15 1.050925519935e-16 + 882 2.846819518483e-10 2.567021729183e-12 5.850941450556e-12 1.285507824149e-14 9.167503490648e-15 3.099557339797e-15 1.084062564927e-16 + 883 2.831867737576e-10 2.600857306851e-12 5.981522158862e-12 1.285538601778e-14 9.128270468572e-15 3.075695577564e-15 1.116816251047e-16 + 884 2.816813728730e-10 2.635128865126e-12 6.108251574358e-12 1.285548678609e-14 9.089243199378e-15 3.051748957478e-15 1.149179962045e-16 + 885 2.801662159695e-10 2.669822555031e-12 6.231077950616e-12 1.285538195964e-14 9.050420087973e-15 3.027717118055e-15 1.181147043886e-16 + 886 2.786417742482e-10 2.704924386535e-12 6.349949267662e-12 1.285507297146e-14 9.011799508119e-15 3.003599694522e-15 1.212710804668e-16 + 887 2.771085233486e-10 2.740420228141e-12 6.464813231388e-12 1.285456127444e-14 8.973379802328e-15 2.979396318807e-15 1.243864514543e-16 + 888 2.755669433613e-10 2.776295806476e-12 6.575617272975e-12 1.285384834143e-14 8.935159281749e-15 2.955106619523e-15 1.274601405623e-16 + 889 2.740175188406e-10 2.812536705880e-12 6.682308548307e-12 1.285293566524e-14 8.897136226066e-15 2.930730221963e-15 1.304914671908e-16 + 890 2.724607388171e-10 2.849128367996e-12 6.784833937395e-12 1.285182475875e-14 8.859308883388e-15 2.906266748082e-15 1.334797469191e-16 + 891 2.708970968098e-10 2.886056091355e-12 6.883140043791e-12 1.285051715496e-14 8.821675470143e-15 2.881715816491e-15 1.364242914984e-16 + 892 2.693270908392e-10 2.923305030968e-12 6.977173194008e-12 1.284901440703e-14 8.784234170967e-15 2.857077042445e-15 1.393244088424e-16 + 893 2.677512234395e-10 2.960860197916e-12 7.066879436939e-12 1.284731808837e-14 8.746983138601e-15 2.832350037828e-15 1.421794030200e-16 + 894 2.661700016712e-10 2.998706458935e-12 7.152204543275e-12 1.284542979268e-14 8.709920493779e-15 2.807534411145e-15 1.449885742459e-16 + 895 2.645839128731e-10 3.036828752581e-12 7.233105029236e-12 1.284335135175e-14 8.673044549970e-15 2.782631038166e-15 1.477514387063e-16 + 896 2.629933514597e-10 3.075212742400e-12 7.309581426013e-12 1.284108549260e-14 8.636354491826e-15 2.757645896599e-15 1.504683919803e-16 + 897 2.613986909543e-10 3.113844173599e-12 7.381645551883e-12 1.283863519117e-14 8.599849707584e-15 2.732586293949e-15 1.531400564237e-16 + 898 2.598003081507e-10 3.152708657055e-12 7.449309538151e-12 1.283600345567e-14 8.563529565153e-15 2.707459602707e-15 1.557670623410e-16 + 899 2.581985831217e-10 3.191791668941e-12 7.512585830222e-12 1.283319332666e-14 8.527393412040e-15 2.682273260533e-15 1.583500480100e-16 + 900 2.565938992284e-10 3.231078550346e-12 7.571487188665e-12 1.283020787716e-14 8.491440575275e-15 2.657034770430e-15 1.608896597060e-16 + 901 2.549866431290e-10 3.270554506896e-12 7.626026690284e-12 1.282705021272e-14 8.455670361335e-15 2.631751700927e-15 1.633865517267e-16 + 902 2.533772047874e-10 3.310204608373e-12 7.676217729185e-12 1.282372347153e-14 8.420082056076e-15 2.606431686257e-15 1.658413864164e-16 + 903 2.517659774825e-10 3.350013788343e-12 7.722074017844e-12 1.282023082451e-14 8.384674924652e-15 2.581082426534e-15 1.682548341906e-16 + 904 2.501533578172e-10 3.389966843770e-12 7.763609588176e-12 1.281657547538e-14 8.349448211448e-15 2.555711687932e-15 1.706275735606e-16 + 905 2.485397457268e-10 3.430048434642e-12 7.800838792601e-12 1.281276066081e-14 8.314401140000e-15 2.530327302867e-15 1.729602911578e-16 + 906 2.469255444882e-10 3.470243083588e-12 7.833776305116e-12 1.280878965044e-14 8.279532912926e-15 2.504937170171e-15 1.752536817585e-16 + 907 2.453111607290e-10 3.510535175506e-12 7.862437122358e-12 1.280466574705e-14 8.244842711848e-15 2.479549255275e-15 1.775084483082e-16 + 908 2.436970044362e-10 3.550908957177e-12 7.886836564678e-12 1.280039228657e-14 8.210329697323e-15 2.454171590387e-15 1.797253019460e-16 + 909 2.420834889650e-10 3.591348536891e-12 7.906990277206e-12 1.279597263826e-14 8.175993008762e-15 2.428812274666e-15 1.819049620294e-16 + 910 2.404710310481e-10 3.631837884066e-12 7.922914230916e-12 1.279141020474e-14 8.141831764364e-15 2.403479474410e-15 1.840481561585e-16 + 911 2.388600508040e-10 3.672360828871e-12 7.934624723702e-12 1.278670842209e-14 8.107845061038e-15 2.378181423226e-15 1.861556202008e-16 + 912 2.372509717467e-10 3.712901061847e-12 7.942138381439e-12 1.278187075998e-14 8.074031974327e-15 2.352926422214e-15 1.882280983156e-16 + 913 2.356442207940e-10 3.753442133526e-12 7.945472159053e-12 1.277690072173e-14 8.040391558339e-15 2.327722840144e-15 1.902663429783e-16 + 914 2.340402282764e-10 3.793967454056e-12 7.944643341594e-12 1.277180184442e-14 8.006922845670e-15 2.302579113634e-15 1.922711150051e-16 + 915 2.324394279466e-10 3.834460292820e-12 7.939669545296e-12 1.276657769897e-14 7.973624847332e-15 2.277503747333e-15 1.942431835776e-16 + 916 2.308422569879e-10 3.874903778056e-12 7.930568718650e-12 1.276123189024e-14 7.940496552677e-15 2.252505314092e-15 1.961833262672e-16 + 917 2.292491560230e-10 3.915280896483e-12 7.917359143475e-12 1.275576805711e-14 7.907536929323e-15 2.227592455152e-15 1.980923290594e-16 + 918 2.276605691236e-10 3.955574492917e-12 7.900059435978e-12 1.275018987262e-14 7.874744923083e-15 2.202773880316e-15 1.999709863786e-16 + 919 2.260769438185e-10 3.995767269896e-12 7.878688547829e-12 1.274450104400e-14 7.842119457888e-15 2.178058368131e-15 2.018201011125e-16 + 920 2.244987311030e-10 4.035841787299e-12 7.853265767228e-12 1.273870531280e-14 7.809659435717e-15 2.153454766066e-15 2.036404846367e-16 + 921 2.229263854479e-10 4.075780461968e-12 7.823810719969e-12 1.273280645498e-14 7.777363736518e-15 2.128971990691e-15 2.054329568390e-16 + 922 2.213603648078e-10 4.115565567332e-12 7.790343370515e-12 1.272680828100e-14 7.745231218138e-15 2.104619027854e-15 2.071983461439e-16 + 923 2.198011306307e-10 4.155179233023e-12 7.752884023059e-12 1.272071463590e-14 7.713260716246e-15 2.080404932863e-15 2.089374895375e-16 + 924 2.182491478667e-10 4.194603444502e-12 7.711453322598e-12 1.271452939943e-14 7.681451044262e-15 2.056338830665e-15 2.106512325916e-16 + 925 2.167048849767e-10 4.233820042678e-12 7.666072255997e-12 1.270825648608e-14 7.649800993284e-15 2.032429916019e-15 2.123404294881e-16 + 926 2.151688139414e-10 4.272810723529e-12 7.616762153060e-12 1.270189984525e-14 7.618309332010e-15 2.008687453682e-15 2.140059430442e-16 + 927 2.136414102704e-10 4.311557037726e-12 7.563544687598e-12 1.269546346129e-14 7.586974806666e-15 1.985120778585e-15 2.156486447362e-16 + 928 2.121231530110e-10 4.350040390251e-12 7.506441878493e-12 1.268895135361e-14 7.555796140932e-15 1.961739296010e-15 2.172694147240e-16 + 929 2.106145247570e-10 4.388242040020e-12 7.445476090773e-12 1.268236757676e-14 7.524772035871e-15 1.938552481770e-15 2.188691418763e-16 + 930 2.091160116578e-10 4.426143099504e-12 7.380670036673e-12 1.267571622055e-14 7.493901169851e-15 1.915569882390e-15 2.204487237944e-16 + 931 2.076281034271e-10 4.463724534351e-12 7.312046776710e-12 1.266900141011e-14 7.463182198472e-15 1.892801115284e-15 2.220090668370e-16 + 932 2.061512933521e-10 4.500967163006e-12 7.239629720746e-12 1.266222730604e-14 7.432613754494e-15 1.870255868932e-15 2.235510861447e-16 + 933 2.046860783022e-10 4.537851656333e-12 7.163442629057e-12 1.265539810441e-14 7.402194447761e-15 1.847943903063e-15 2.250757056645e-16 + 934 2.032329063142e-10 4.574360239241e-12 7.083514795387e-12 1.264851784349e-14 7.371923027052e-15 1.825872790731e-15 2.265835923864e-16 + 935 2.017920184325e-10 4.610481825474e-12 6.999896682725e-12 1.264158982005e-14 7.341798868551e-15 1.804041105518e-15 2.280743544513e-16 + 936 2.003636044140e-10 4.646206962348e-12 6.912644534102e-12 1.263461716410e-14 7.311821494867e-15 1.782445128173e-15 2.295473305548e-16 + 937 1.989478549293e-10 4.681526135881e-12 6.821815214545e-12 1.262760303154e-14 7.281990413749e-15 1.761081094923e-15 2.310018545863e-16 + 938 1.975449615642e-10 4.716429770646e-12 6.727466212856e-12 1.262055060428e-14 7.252305118038e-15 1.739945197348e-15 2.324372556173e-16 + 939 1.961551168217e-10 4.750908229627e-12 6.629655643397e-12 1.261346309027e-14 7.222765085615e-15 1.719033582239e-15 2.338528578890e-16 + 940 1.947785141237e-10 4.784951814075e-12 6.528442247863e-12 1.260634372358e-14 7.193369779346e-15 1.698342351476e-15 2.352479808005e-16 + 941 1.934153478124e-10 4.818550763362e-12 6.423885397068e-12 1.259919576445e-14 7.164118647033e-15 1.677867561893e-15 2.366219388969e-16 + 942 1.920658131523e-10 4.851695254838e-12 6.316045092724e-12 1.259202249938e-14 7.135011121363e-15 1.657605225143e-15 2.379740418570e-16 + 943 1.907301063318e-10 4.884375403684e-12 6.204981969219e-12 1.258482724121e-14 7.106046619854e-15 1.637551307573e-15 2.393035944817e-16 + 944 1.894084244650e-10 4.916581262767e-12 6.090757295399e-12 1.257761332912e-14 7.077224544806e-15 1.617701730089e-15 2.406098966813e-16 + 945 1.881009655934e-10 4.948302822498e-12 5.973432976349e-12 1.257038412877e-14 7.048544283245e-15 1.598052368023e-15 2.418922434642e-16 + 946 1.868079286872e-10 4.979530010685e-12 5.853071555171e-12 1.256314303233e-14 7.020005206879e-15 1.578599051007e-15 2.431499249245e-16 + 947 1.855295136478e-10 5.010252692388e-12 5.729736214766e-12 1.255589345856e-14 6.991606672038e-15 1.559337562834e-15 2.443822262300e-16 + 948 1.842659213088e-10 5.040460669776e-12 5.603490779613e-12 1.254863885286e-14 6.963348019626e-15 1.540263641333e-15 2.455884276104e-16 + 949 1.830173534381e-10 5.070143681980e-12 5.474399717551e-12 1.254138268735e-14 6.935228575073e-15 1.521372978235e-15 2.467678043450e-16 + 950 1.817840127393e-10 5.099291404949e-12 5.342528141557e-12 1.253412846095e-14 6.907247648275e-15 1.502661219040e-15 2.479196267509e-16 + 951 1.805661028538e-10 5.127893451307e-12 5.207941811527e-12 1.252687969939e-14 6.879404533552e-15 1.484123962890e-15 2.490431601707e-16 + 952 1.793638283623e-10 5.155939370205e-12 5.070707136058e-12 1.251963995536e-14 6.851698509587e-15 1.465756762432e-15 2.501376649609e-16 + 953 1.781773947863e-10 5.183418647178e-12 4.930891174226e-12 1.251241280851e-14 6.824128839381e-15 1.447555123690e-15 2.512023964796e-16 + 954 1.770070085903e-10 5.210320704000e-12 4.788561637366e-12 1.250520186555e-14 6.796694770201e-15 1.429514505933e-15 2.522366050745e-16 + 955 1.758528771830e-10 5.236634898539e-12 4.643786890854e-12 1.249801076031e-14 6.769395533523e-15 1.411630321544e-15 2.532395360709e-16 + 956 1.747152089193e-10 5.262350524614e-12 4.496635955887e-12 1.249084315378e-14 6.742230344987e-15 1.393897935886e-15 2.542104297599e-16 + 957 1.735942131021e-10 5.287456811846e-12 4.347178511261e-12 1.248370273422e-14 6.715198404340e-15 1.376312667174e-15 2.551485213860e-16 + 958 1.724900999836e-10 5.311942925517e-12 4.195484895154e-12 1.247659321722e-14 6.688298895389e-15 1.358869786341e-15 2.560530411352e-16 + 959 1.714030807675e-10 5.335797966424e-12 4.041626106905e-12 1.246951834572e-14 6.661530985944e-15 1.341564516908e-15 2.569232141234e-16 + 960 1.703333676104e-10 5.359010970733e-12 3.885673808793e-12 1.246248189013e-14 6.634893827773e-15 1.324392034852e-15 2.577582603836e-16 + 961 1.692811736235e-10 5.381570909835e-12 3.727700327821e-12 1.245548764838e-14 6.608386556544e-15 1.307347468473e-15 2.585573948548e-16 + 962 1.682467128745e-10 5.403466690204e-12 3.567778657491e-12 1.244853944597e-14 6.582008291778e-15 1.290425898265e-15 2.593198273691e-16 + 963 1.672302003891e-10 5.424687153247e-12 3.405982459588e-12 1.244164113606e-14 6.555758136794e-15 1.273622356785e-15 2.600447626404e-16 + 964 1.662318521529e-10 5.445221075162e-12 3.242386065960e-12 1.243479659952e-14 6.529635178659e-15 1.256931828518e-15 2.607314002518e-16 + 965 1.652518851130e-10 5.465057166795e-12 3.077064480296e-12 1.242800974501e-14 6.503638488139e-15 1.240349249748e-15 2.613789346441e-16 + 966 1.642905171798e-10 5.484184073490e-12 2.910093379908e-12 1.242128450903e-14 6.477767119639e-15 1.223869508428e-15 2.619865551033e-16 + 967 1.633479672285e-10 5.502590374950e-12 2.741549117512e-12 1.241462485601e-14 6.452020111164e-15 1.207487444043e-15 2.625534457491e-16 + 968 1.624244551011e-10 5.520264585087e-12 2.571508723004e-12 1.240803477836e-14 6.426396484253e-15 1.191197847486e-15 2.630787855223e-16 + 969 1.615202016077e-10 5.537195151884e-12 2.400049905248e-12 1.240151829652e-14 6.400895243941e-15 1.174995460920e-15 2.635617481734e-16 + 970 1.606354285288e-10 5.553370457240e-12 2.227251053846e-12 1.239507945907e-14 6.375515378698e-15 1.158874977651e-15 2.640015022501e-16 + 971 1.597703586165e-10 5.568778816836e-12 2.053191240927e-12 1.238872234276e-14 6.350255860379e-15 1.142831041994e-15 2.643972110855e-16 + 972 1.589252155963e-10 5.583408479983e-12 1.877950222925e-12 1.238245105260e-14 6.325115644178e-15 1.126858249143e-15 2.647480327859e-16 + 973 1.581001758583e-10 5.597249740282e-12 1.701605492369e-12 1.237626925933e-14 6.300093786900e-15 1.110952094644e-15 2.650533631898e-16 + 974 1.572952227316e-10 5.610301302608e-12 1.524223381210e-12 1.237017880414e-14 6.275189803862e-15 1.095111838694e-15 2.653135687625e-16 + 975 1.565102900258e-10 5.622564011405e-12 1.345867827485e-12 1.236418107316e-14 6.250403317248e-15 1.079337684577e-15 2.655292646786e-16 + 976 1.557453101390e-10 5.634038748678e-12 1.166603314607e-12 1.235827745812e-14 6.225733938230e-15 1.063629832944e-15 2.657010728672e-16 + 977 1.550002140532e-10 5.644726434111e-12 9.864948727696e-13 1.235246935637e-14 6.201181266932e-15 1.047988481800e-15 2.658296220307e-16 + 978 1.542749313304e-10 5.654628025189e-12 8.056080803505e-13 1.234675817091e-14 6.176744892389e-15 1.032413826495e-15 2.659155476635e-16 + 979 1.535693901075e-10 5.663744517322e-12 6.240090653224e-13 1.234114531035e-14 6.152424392513e-15 1.016906059713e-15 2.659594920710e-16 + 980 1.528835170925e-10 5.672076943969e-12 4.417645066581e-13 1.233563218898e-14 6.128219334057e-15 1.001465371458e-15 2.659621043878e-16 + 981 1.522172375598e-10 5.679626376757e-12 2.589416357365e-13 1.233022022671e-14 6.104129272578e-15 9.860919490457e-16 2.659240405972e-16 + 982 1.515704753458e-10 5.686393925603e-12 7.560823775051e-14 1.232491084915e-14 6.080153752399e-15 9.707859770909e-16 2.658459635494e-16 + 983 1.509431528446e-10 5.692380738843e-12 -1.081673468872e-13 1.231970548753e-14 6.056292306572e-15 9.555476374966e-16 2.657285429802e-16 + 984 1.503351910034e-10 5.697588003346e-12 -2.923162211371e-13 1.231460557881e-14 6.032544456846e-15 9.403771094426e-16 2.655724555302e-16 + 985 1.497465093184e-10 5.702016944643e-12 -4.767689299260e-13 1.230961256561e-14 6.008909713623e-15 9.252745693744e-16 2.653783847631e-16 + 986 1.491770258301e-10 5.705668827044e-12 -6.614554587408e-13 1.230472789625e-14 5.985387575927e-15 9.102401909919e-16 2.651470211850e-16 + 987 1.486266571189e-10 5.708544953766e-12 -8.463052322212e-13 1.229995302475e-14 5.961977531367e-15 8.952741452385e-16 2.648790622623e-16 + 988 1.480953183009e-10 5.710646667052e-12 -1.031247112754e-12 1.229528941083e-14 5.938679056097e-15 8.803766002892e-16 2.645752124413e-16 + 989 1.475829230235e-10 5.711975348293e-12 -1.216209399064e-12 1.229073851997e-14 5.915491614782e-15 8.655477215400e-16 2.642361831664e-16 + 990 1.470893834608e-10 5.712532418154e-12 -1.401119824812e-12 1.228630182332e-14 5.892414660559e-15 8.507876715964e-16 2.638626928992e-16 + 991 1.466146103091e-10 5.712319336692e-12 -1.585905557183e-12 1.228198079781e-14 5.869447635005e-15 8.360966102623e-16 2.634554671370e-16 + 992 1.461585127828e-10 5.711337603480e-12 -1.770493195482e-12 1.227777692610e-14 5.846589968096e-15 8.214746945286e-16 2.630152384315e-16 + 993 1.457209986099e-10 5.709588757733e-12 -1.954808769728e-12 1.227369169659e-14 5.823841078170e-15 8.069220785620e-16 2.625427464080e-16 + 994 1.453019740274e-10 5.707074378426e-12 -2.138777739244e-12 1.226972660344e-14 5.801200371895e-15 7.924389136940e-16 2.620387377835e-16 + 995 1.449013437773e-10 5.703796084416e-12 -2.322324991256e-12 1.226588314660e-14 5.778667244226e-15 7.780253484094e-16 2.615039663860e-16 + 996 1.445190111016e-10 5.699755534570e-12 -2.505374839480e-12 1.226216283176e-14 5.756241078375e-15 7.636815283353e-16 2.609391931729e-16 + 997 1.441548777384e-10 5.694954427882e-12 -2.687851022720e-12 1.225856717044e-14 5.733921245769e-15 7.494075962296e-16 2.603451862500e-16 + 998 1.438088439173e-10 5.689394503596e-12 -2.869676703459e-12 1.225509767990e-14 5.711707106016e-15 7.352036919701e-16 2.597227208900e-16 + 999 1.434808083550e-10 5.683077541332e-12 -3.050774466453e-12 1.225175588323e-14 5.689598006867e-15 7.210699525430e-16 2.590725795515e-16 + 1000 1.431706682508e-10 5.676005361206e-12 -3.231066317324e-12 1.224854330933e-14 5.667593284182e-15 7.070065120319e-16 2.583955518975e-16 + 1001 1.428783192825e-10 5.668179823952e-12 -3.410473681153e-12 1.224546149290e-14 5.645692261890e-15 6.930135016064e-16 2.576924348144e-16 + 1002 1.426036556015e-10 5.659602831044e-12 -3.588917401076e-12 1.224251197447e-14 5.623894251953e-15 6.790910495109e-16 2.569640324304e-16 + 1003 1.423465698290e-10 5.650276324822e-12 -3.766317736872e-12 1.223969630041e-14 5.602198554332e-15 6.652392810533e-16 2.562111561348e-16 + 1004 1.421069530509e-10 5.640202288611e-12 -3.942594363562e-12 1.223701602291e-14 5.580604456947e-15 6.514583185943e-16 2.554346245961e-16 + 1005 1.418846948140e-10 5.629382746845e-12 -4.117666369998e-12 1.223447270002e-14 5.559111235643e-15 6.377482815352e-16 2.546352637812e-16 + 1006 1.416796831213e-10 5.617819765187e-12 -4.291452257460e-12 1.223206789566e-14 5.537718154152e-15 6.241092863076e-16 2.538139069740e-16 + 1007 1.414918044277e-10 5.605515450656e-12 -4.463869938245e-12 1.222980317959e-14 5.516424464054e-15 6.105414463618e-16 2.529713947943e-16 + 1008 1.413209436353e-10 5.592471951746e-12 -4.634836734266e-12 1.222768012745e-14 5.495229404748e-15 5.970448721554e-16 2.521085752162e-16 + 1009 1.411669840894e-10 5.578691458548e-12 -4.804269375638e-12 1.222570032076e-14 5.474132203405e-15 5.836196711423e-16 2.512263035871e-16 + 1010 1.410298075739e-10 5.564176202877e-12 -4.972083999278e-12 1.222386534694e-14 5.453132074939e-15 5.702659477616e-16 2.503254426464e-16 + 1011 1.409092943070e-10 5.548928458388e-12 -5.138196147495e-12 1.222217679929e-14 5.432228221969e-15 5.569838034259e-16 2.494068625444e-16 + 1012 1.408053034882e-10 5.532951811649e-12 -5.302529337873e-12 1.222063583960e-14 5.411419922510e-15 5.437736772856e-16 2.484713274490e-16 + 1013 1.407176146421e-10 5.516254995195e-12 -5.465040911241e-12 1.221924187903e-14 5.390706794522e-15 5.306373739301e-16 2.475191535359e-16 + 1014 1.406459854191e-10 5.498848110044e-12 -5.625696554006e-12 1.221799387818e-14 5.370088535110e-15 5.175770504982e-16 2.465505460991e-16 + 1015 1.405901709609e-10 5.480741360034e-12 -5.784461760289e-12 1.221689078278e-14 5.349564833111e-15 5.045948772765e-16 2.455657125205e-16 + 1016 1.405499238931e-10 5.461945052102e-12 -5.941301831521e-12 1.221593152362e-14 5.329135369068e-15 4.916930377285e-16 2.445648622754e-16 + 1017 1.405249943192e-10 5.442469596547e-12 -6.096181876041e-12 1.221511501650e-14 5.308799815206e-15 4.788737285228e-16 2.435482069381e-16 + 1018 1.405151298133e-10 5.422325507308e-12 -6.249066808691e-12 1.221444016222e-14 5.288557835401e-15 4.661391595621e-16 2.425159601873e-16 + 1019 1.405200754140e-10 5.401523402232e-12 -6.399921350413e-12 1.221390584651e-14 5.268409085159e-15 4.534915540117e-16 2.414683378113e-16 + 1020 1.405395736171e-10 5.380074003343e-12 -6.548710027847e-12 1.221351094000e-14 5.248353211586e-15 4.409331483282e-16 2.404055577139e-16 + 1021 1.405733643695e-10 5.357988137118e-12 -6.695397172926e-12 1.221325429816e-14 5.228389853361e-15 4.284661922882e-16 2.393278399197e-16 + 1022 1.406211850620e-10 5.335276734756e-12 -6.839946922473e-12 1.221313476126e-14 5.208518640712e-15 4.160929490168e-16 2.382354065795e-16 + 1023 1.406827705231e-10 5.311950832449e-12 -6.982323217798e-12 1.221315115437e-14 5.188739195390e-15 4.038156950166e-16 2.371284819758e-16 + 1024 1.407578530119e-10 5.288021571653e-12 -7.122489804296e-12 1.221330228725e-14 5.169051130641e-15 3.916367201959e-16 2.360072925283e-16 + 1025 1.408461622116e-10 5.263500199360e-12 -7.260410231040e-12 1.221358695435e-14 5.149454051179e-15 3.795583278978e-16 2.348720667995e-16 + 1026 1.409474252230e-10 5.238398068368e-12 -7.396047850380e-12 1.221400393475e-14 5.129947553160e-15 3.675828349287e-16 2.337230354999e-16 + 1027 1.410613665574e-10 5.212726637556e-12 -7.529365817541e-12 1.221455199212e-14 5.110531224159e-15 3.557125715868e-16 2.325604314937e-16 + 1028 1.411877081303e-10 5.186497472150e-12 -7.660327090217e-12 1.221522987470e-14 5.091204643139e-15 3.439498816910e-16 2.313844898043e-16 + 1029 1.413261692544e-10 5.159722243996e-12 -7.788894428168e-12 1.221603631521e-14 5.071967380425e-15 3.322971226095e-16 2.301954476193e-16 + 1030 1.414764666332e-10 5.132412731834e-12 -7.915030392819e-12 1.221697003084e-14 5.052818997682e-15 3.207566652884e-16 2.289935442968e-16 + 1031 1.416383143541e-10 5.104580821565e-12 -8.038697346853e-12 1.221802972322e-14 5.033759047885e-15 3.093308942803e-16 2.277790213702e-16 + 1032 1.418114238818e-10 5.076238506527e-12 -8.159857453810e-12 1.221921407832e-14 5.014787075291e-15 2.980222077733e-16 2.265521225538e-16 + 1033 1.419955040518e-10 5.047397887760e-12 -8.278472677685e-12 1.222052176646e-14 4.995902615419e-15 2.868330176191e-16 2.253130937486e-16 + 1034 1.421902610633e-10 5.018071174283e-12 -8.394504782520e-12 1.222195144228e-14 4.977105195015e-15 2.757657493623e-16 2.240621830472e-16 + 1035 1.423953984728e-10 4.988270683364e-12 -8.507915332005e-12 1.222350174461e-14 4.958394332033e-15 2.648228422687e-16 2.227996407399e-16 + 1036 1.426106171874e-10 4.958008840788e-12 -8.618665689074e-12 1.222517129653e-14 4.939769535605e-15 2.540067493538e-16 2.215257193198e-16 + 1037 1.428356154581e-10 4.927298181131e-12 -8.726717015498e-12 1.222695870526e-14 4.921230306016e-15 2.433199374118e-16 2.202406734884e-16 + 1038 1.430700888731e-10 4.896151348031e-12 -8.832030271486e-12 1.222886256214e-14 4.902776134676e-15 2.327648870443e-16 2.189447601608e-16 + 1039 1.433137303509e-10 4.864581094459e-12 -8.934566215279e-12 1.223088144259e-14 4.884406504096e-15 2.223440926887e-16 2.176382384716e-16 + 1040 1.435662301342e-10 4.832600282991e-12 -9.034285402750e-12 1.223301390606e-14 4.866120887858e-15 2.120600626468e-16 2.163213697802e-16 + 1041 1.438272757825e-10 4.800221886076e-12 -9.131148186996e-12 1.223525849599e-14 4.847918750593e-15 2.019153191138e-16 2.149944176761e-16 + 1042 1.440965521659e-10 4.767458986311e-12 -9.225114717936e-12 1.223761373974e-14 4.829799547952e-15 1.919123982069e-16 2.136576479846e-16 + 1043 1.443737414582e-10 4.734324776711e-12 -9.316144941910e-12 1.224007814862e-14 4.811762726579e-15 1.820538499937e-16 2.123113287723e-16 + 1044 1.446585231305e-10 4.700832560981e-12 -9.404198601274e-12 1.224265021775e-14 4.793807724086e-15 1.723422385210e-16 2.109557303522e-16 + 1045 1.449505739440e-10 4.666995753784e-12 -9.489235233997e-12 1.224532842610e-14 4.775933969028e-15 1.627801418437e-16 2.095911252896e-16 + 1046 1.452495679438e-10 4.632827881015e-12 -9.571214173256e-12 1.224811123640e-14 4.758140880874e-15 1.533701520529e-16 2.082177884075e-16 + 1047 1.455551764520e-10 4.598342580074e-12 -9.650094547035e-12 1.225099709510e-14 4.740427869980e-15 1.441148753053e-16 2.068359967918e-16 + 1048 1.458670680610e-10 4.563553600132e-12 -9.725835277720e-12 1.225398443235e-14 4.722794337565e-15 1.350169318513e-16 2.054460297971e-16 + 1049 1.461849086268e-10 4.528474802407e-12 -9.798395081696e-12 1.225707166194e-14 4.705239675686e-15 1.260789560637e-16 2.040481690518e-16 + 1050 1.465083612627e-10 4.493120160433e-12 -9.867732468946e-12 1.226025718126e-14 4.687763267206e-15 1.173035964669e-16 2.026426984642e-16 + 1051 1.468371015811e-10 4.457503515111e-12 -9.933814533337e-12 1.226353921424e-14 4.670364551700e-15 1.086930705393e-16 2.012298327124e-16 + 1052 1.471708636676e-10 4.421637835581e-12 -9.996643458133e-12 1.226691533787e-14 4.653043224210e-15 1.002478222884e-16 1.998095016171e-16 + 1053 1.475093947330e-10 4.385535948617e-12 -1.005623037813e-11 1.227038294901e-14 4.635799039200e-15 9.196784607241e-17 1.983815627830e-16 + 1054 1.478524399172e-10 4.349210783155e-12 -1.011258662292e-11 1.227393942077e-14 4.618631744856e-15 8.385313011390e-17 1.969458728388e-16 + 1055 1.481997422840e-10 4.312675370541e-12 -1.016572371744e-11 1.227758210243e-14 4.601541083072e-15 7.590365648022e-17 1.955022874354e-16 + 1056 1.485510428161e-10 4.275942844776e-12 -1.021565338253e-11 1.228130831935e-14 4.584526789428e-15 6.811940106379e-17 1.940506612437e-16 + 1057 1.489060804102e-10 4.239026442758e-12 -1.026238753547e-11 1.228511537298e-14 4.567588593169e-15 6.050033356250e-17 1.925908479519e-16 + 1058 1.492645918719e-10 4.201939504529e-12 -1.030593829054e-11 1.228900054075e-14 4.550726217191e-15 5.304641746000e-17 1.911227002635e-16 + 1059 1.496263119105e-10 4.164695473517e-12 -1.034631795958e-11 1.229296107602e-14 4.533939378016e-15 4.575761000607e-17 1.896460698951e-16 + 1060 1.499909731343e-10 4.127307896786e-12 -1.038353905252e-11 1.229699420801e-14 4.517227785778e-15 3.863386219696e-17 1.881608075737e-16 + 1061 1.503583060453e-10 4.089790425273e-12 -1.041761427794e-11 1.230109714177e-14 4.500591144198e-15 3.167511875571e-17 1.866667630348e-16 + 1062 1.507280390344e-10 4.052156814038e-12 -1.044855654363e-11 1.230526705809e-14 4.484029150572e-15 2.488131811252e-17 1.851637850201e-16 + 1063 1.510998983759e-10 4.014420922508e-12 -1.047637895712e-11 1.230950111345e-14 4.467541495743e-15 1.825239238508e-17 1.836517212749e-16 + 1064 1.514736082232e-10 3.976596714721e-12 -1.050109482626e-11 1.231379643997e-14 4.451127864091e-15 1.178826735892e-17 1.821304185461e-16 + 1065 1.518488906032e-10 3.938698259567e-12 -1.052271765974e-11 1.231815014533e-14 4.434787933506e-15 5.488862467717e-18 1.805997225797e-16 + 1066 1.522254654114e-10 3.900739731040e-12 -1.054126116767e-11 1.232255931273e-14 4.418521375375e-15 -6.459092263117e-19 1.790594781188e-16 + 1067 1.526030504070e-10 3.862735408478e-12 -1.055673926209e-11 1.232702100082e-14 4.402327854556e-15 -6.616141052103e-18 1.775095289010e-16 + 1068 1.529813612078e-10 3.824699676805e-12 -1.056916605757e-11 1.233153224362e-14 4.386207029367e-15 -1.242193274939e-17 1.759497176563e-16 + 1069 1.533601112850e-10 3.786647026783e-12 -1.057855587172e-11 1.233609005050e-14 4.370158551559e-15 -1.806339048837e-17 1.743798861049e-16 + 1070 1.537390119585e-10 3.748592055250e-12 -1.058492322577e-11 1.234069140610e-14 4.354182066301e-15 -2.354062688936e-17 1.727998749544e-16 + 1071 1.541177723916e-10 3.710549465367e-12 -1.058828284511e-11 1.234533327025e-14 4.338277212161e-15 -2.885376104245e-17 1.712095238983e-16 + 1072 1.544960995863e-10 3.672534066865e-12 -1.058864965982e-11 1.235001257796e-14 4.322443621085e-15 -3.400291852715e-17 1.696086716130e-16 + 1073 1.548736983776e-10 3.634560776284e-12 -1.058603880526e-11 1.235472623930e-14 4.306680918378e-15 -3.898823143208e-17 1.679971557560e-16 + 1074 1.552502714293e-10 3.596644617224e-12 -1.058046562258e-11 1.235947113939e-14 4.290988722685e-15 -4.380983837461e-17 1.663748129633e-16 + 1075 1.556255192284e-10 3.558800720584e-12 -1.057194565932e-11 1.236424413829e-14 4.275366645974e-15 -4.846788452050e-17 1.647414788472e-16 + 1076 1.559991400804e-10 3.521044324811e-12 -1.056049466990e-11 1.236904207101e-14 4.259814293513e-15 -5.296252160361e-17 1.630969879942e-16 + 1077 1.563708301038e-10 3.483390776142e-12 -1.054612861622e-11 1.237386174737e-14 4.244331263851e-15 -5.729390794550e-17 1.614411739623e-16 + 1078 1.567402832258e-10 3.445855528849e-12 -1.052886366819e-11 1.237869995200e-14 4.228917148805e-15 -6.146220847511e-17 1.597738692792e-16 + 1079 1.571071911766e-10 3.408454145484e-12 -1.050871620429e-11 1.238355344425e-14 4.213571533432e-15 -6.546759474844e-17 1.580949054397e-16 + 1080 1.574712434846e-10 3.371202297125e-12 -1.048570281210e-11 1.238841895814e-14 4.198293996015e-15 -6.931024496816e-17 1.564041129034e-16 + 1081 1.578321274717e-10 3.334115763618e-12 -1.045984028888e-11 1.239329320230e-14 4.183084108043e-15 -7.299034400335e-17 1.547013210926e-16 + 1082 1.581895282476e-10 3.297210433823e-12 -1.043114564209e-11 1.239817285989e-14 4.167941434192e-15 -7.650808340904e-17 1.529863583898e-16 + 1083 1.585431287054e-10 3.260502305857e-12 -1.039963608998e-11 1.240305458859e-14 4.152865532303e-15 -7.986366144599e-17 1.512590521356e-16 + 1084 1.588926095162e-10 3.224007487344e-12 -1.036532906209e-11 1.240793502048e-14 4.137855953367e-15 -8.305728310026e-17 1.495192286264e-16 + 1085 1.592376491243e-10 3.187742195651e-12 -1.032824219985e-11 1.241281076201e-14 4.122912241502e-15 -8.608916010291e-17 1.477667131118e-16 + 1086 1.595779237418e-10 3.151722758141e-12 -1.028839335709e-11 1.241767839394e-14 4.108033933938e-15 -8.895951094965e-17 1.460013297929e-16 + 1087 1.599131073442e-10 3.115965612411e-12 -1.024580060064e-11 1.242253447129e-14 4.093220560993e-15 -9.166856092050e-17 1.442229018193e-16 + 1088 1.602428716647e-10 3.080487306542e-12 -1.020048221081e-11 1.242737552325e-14 4.078471646057e-15 -9.421654209943e-17 1.424312512873e-16 + 1089 1.605668861895e-10 3.045304499340e-12 -1.015245668200e-11 1.243219805314e-14 4.063786705571e-15 -9.660369339407e-17 1.406261992377e-16 + 1090 1.608848538998e-10 3.010432455197e-12 -1.010174685453e-11 1.243699872787e-14 4.049165299188e-15 -9.883093489226e-17 1.388076957896e-16 + 1091 1.611966190318e-10 2.975880506082e-12 -1.004839236966e-11 1.244177494930e-14 4.034607181020e-15 -1.009019007913e-16 1.369762124585e-16 + 1092 1.615020607512e-10 2.941656529204e-12 -9.992437382585e-12 1.244652429043e-14 4.020112150381e-15 -1.028209337597e-16 1.351323550931e-16 + 1093 1.618010575356e-10 2.907768446973e-12 -9.933926447326e-12 1.245124430650e-14 4.005680001776e-15 -1.045924131589e-16 1.332767342263e-16 + 1094 1.620934871735e-10 2.874224227090e-12 -9.872904517634e-12 1.245593253498e-14 3.991310524888e-15 -1.062207551313e-16 1.314099650861e-16 + 1095 1.623792267625e-10 2.841031882641e-12 -9.809416947988e-12 1.246058649551e-14 3.977003504561e-15 -1.077104126877e-16 1.295326676067e-16 + 1096 1.626581527079e-10 2.808199472190e-12 -9.743509494552e-12 1.246520368987e-14 3.962758720792e-15 -1.090658757951e-16 1.276454664390e-16 + 1097 1.629301407216e-10 2.775735099872e-12 -9.675228316149e-12 1.246978160195e-14 3.948575948708e-15 -1.102916714646e-16 1.257489909614e-16 + 1098 1.631950658203e-10 2.743646915485e-12 -9.604619975222e-12 1.247431769766e-14 3.934454958562e-15 -1.113923638388e-16 1.238438752912e-16 + 1099 1.634528023243e-10 2.711943114583e-12 -9.531731438807e-12 1.247880942494e-14 3.920395515711e-15 -1.123725542795e-16 1.219307582947e-16 + 1100 1.637032238560e-10 2.680631938569e-12 -9.456610079500e-12 1.248325421371e-14 3.906397380603e-15 -1.132368814556e-16 1.200102835986e-16 + 1101 1.639462033385e-10 2.649721674786e-12 -9.379303676420e-12 1.248764947581e-14 3.892460308768e-15 -1.139900214310e-16 1.180830996007e-16 + 1102 1.641816129941e-10 2.619220656614e-12 -9.299860416182e-12 1.249199260496e-14 3.878584050797e-15 -1.146366877516e-16 1.161498594804e-16 + 1103 1.644093243432e-10 2.589137263556e-12 -9.218328893863e-12 1.249628097675e-14 3.864768352332e-15 -1.151816315337e-16 1.142112212102e-16 + 1104 1.646292082022e-10 2.559479921339e-12 -9.134758113967e-12 1.250051194856e-14 3.851012954051e-15 -1.156296415515e-16 1.122678475658e-16 + 1105 1.648411346830e-10 2.530257101997e-12 -9.049197491396e-12 1.250468285954e-14 3.837317591655e-15 -1.159855443245e-16 1.103204061378e-16 + 1106 1.650449731907e-10 2.501477323973e-12 -8.961696852416e-12 1.250879103056e-14 3.823681995849e-15 -1.162542042059e-16 1.083695693415e-16 + 1107 1.652405924226e-10 2.473149152207e-12 -8.872306435624e-12 1.251283376419e-14 3.810105892335e-15 -1.164405234693e-16 1.064160144287e-16 + 1108 1.654278603670e-10 2.445281198227e-12 -8.781076892919e-12 1.251680834463e-14 3.796589001792e-15 -1.165494423974e-16 1.044604234980e-16 + 1109 1.656066443013e-10 2.417882120247e-12 -8.688059290462e-12 1.252071203768e-14 3.783131039864e-15 -1.165859393690e-16 1.025034835059e-16 + 1110 1.657768107907e-10 2.390960623255e-12 -8.593305109655e-12 1.252454209070e-14 3.769731717147e-15 -1.165550309473e-16 1.005458862774e-16 + 1111 1.659382256871e-10 2.364525459107e-12 -8.496866248096e-12 1.252829573259e-14 3.756390739173e-15 -1.164617719670e-16 9.858832851711e-17 + 1112 1.660907541274e-10 2.338585426622e-12 -8.398795020558e-12 1.253197017369e-14 3.743107806397e-15 -1.163112556223e-16 9.663151181981e-17 + 1113 1.662342605320e-10 2.313149371673e-12 -8.299144159948e-12 1.253556260582e-14 3.729882614180e-15 -1.161086135548e-16 9.467614268154e-17 + 1114 1.663686086037e-10 2.288226187276e-12 -8.197966818279e-12 1.253907020216e-14 3.716714852780e-15 -1.158590159408e-16 9.272293251036e-17 + 1115 1.664936613257e-10 2.263824813691e-12 -8.095316567636e-12 1.254249011728e-14 3.703604207335e-15 -1.155676715792e-16 9.077259763715e-17 + 1116 1.666092809610e-10 2.239954238507e-12 -7.991247401146e-12 1.254581948703e-14 3.690550357847e-15 -1.152398279794e-16 8.882585932649e-17 + 1117 1.667153290503e-10 2.216623496738e-12 -7.885813733941e-12 1.254905542855e-14 3.677552979169e-15 -1.148807714486e-16 8.688344378751e-17 + 1118 1.668116664109e-10 2.193841670917e-12 -7.779070404132e-12 1.255219504022e-14 3.664611740995e-15 -1.144958271799e-16 8.494608218469e-17 + 1119 1.668981531352e-10 2.171617891185e-12 -7.671072673769e-12 1.255523540160e-14 3.651726307840e-15 -1.140903593397e-16 8.301451064878e-17 + 1120 1.669746485890e-10 2.149961335388e-12 -7.561876229815e-12 1.255817357339e-14 3.638896339027e-15 -1.136697711555e-16 8.108947028755e-17 + 1121 1.670410114108e-10 2.128881229165e-12 -7.451537185110e-12 1.256100659743e-14 3.626121488677e-15 -1.132395050038e-16 7.917170719673e-17 + 1122 1.670970995095e-10 2.108386846046e-12 -7.340112079341e-12 1.256373149660e-14 3.613401405690e-15 -1.128050424974e-16 7.726197247076e-17 + 1123 1.671427700638e-10 2.088487507540e-12 -7.227657880007e-12 1.256634527481e-14 3.600735733732e-15 -1.123719045736e-16 7.536102221371e-17 + 1124 1.671778795199e-10 2.069192583231e-12 -7.114231983389e-12 1.256884491697e-14 3.588124111224e-15 -1.119456515813e-16 7.346961755006e-17 + 1125 1.672022835911e-10 2.050511490867e-12 -6.999892215515e-12 1.257122738892e-14 3.575566171322e-15 -1.115318833695e-16 7.158852463561e-17 + 1126 1.672158372553e-10 2.032453696458e-12 -6.884696833131e-12 1.257348963741e-14 3.563061541909e-15 -1.111362393743e-16 6.971851466826e-17 + 1127 1.672183947546e-10 2.015028714365e-12 -6.768704524665e-12 1.257562859007e-14 3.550609845577e-15 -1.107643987067e-16 6.786036389889e-17 + 1128 1.672098095930e-10 1.998246107391e-12 -6.651974411198e-12 1.257764115531e-14 3.538210699613e-15 -1.104220802409e-16 6.601485364220e-17 + 1129 1.671899682520e-10 1.982113688841e-12 -6.534563888791e-12 1.257952461371e-14 3.525863754612e-15 -1.101133344163e-16 6.418261149719e-17 + 1130 1.671588918161e-10 1.966632103015e-12 -6.416522122953e-12 1.258127779756e-14 3.513568810879e-15 -1.098353942623e-16 6.236363273672e-17 + 1131 1.671166356596e-10 1.951800174744e-12 -6.297896471888e-12 1.258289992647e-14 3.501325703503e-15 -1.095837579007e-16 6.055775274443e-17 + 1132 1.670632558514e-10 1.937616700997e-12 -6.178734638265e-12 1.258439021738e-14 3.489134263863e-15 -1.093538907132e-16 5.876480523923e-17 + 1133 1.669988091567e-10 1.924080450798e-12 -6.059084669978e-12 1.258574788460e-14 3.476994319610e-15 -1.091412252689e-16 5.698462227114e-17 + 1134 1.669233530386e-10 1.911190165153e-12 -5.938994960913e-12 1.258697213977e-14 3.464905694661e-15 -1.089411612507e-16 5.521703421723e-17 + 1135 1.668369456601e-10 1.898944556973e-12 -5.818514251709e-12 1.258806219186e-14 3.452868209191e-15 -1.087490653828e-16 5.346186977749e-17 + 1136 1.667396458854e-10 1.887342310996e-12 -5.697691630528e-12 1.258901724717e-14 3.440881679614e-15 -1.085602713575e-16 5.171895597081e-17 + 1137 1.666315132824e-10 1.876382083715e-12 -5.576576533815e-12 1.258983650933e-14 3.428945918583e-15 -1.083700797621e-16 4.998811813081e-17 + 1138 1.665126081236e-10 1.866062503296e-12 -5.455218747064e-12 1.259051917929e-14 3.417060734971e-15 -1.081737580063e-16 4.826917990180e-17 + 1139 1.663829913886e-10 1.856382169503e-12 -5.333668405585e-12 1.259106445533e-14 3.405225933863e-15 -1.079665402489e-16 4.656196323463e-17 + 1140 1.662427247651e-10 1.847339653627e-12 -5.211975995263e-12 1.259147153303e-14 3.393441316550e-15 -1.077436273250e-16 4.486628838269e-17 + 1141 1.660918706515e-10 1.838933498401e-12 -5.090192353328e-12 1.259173960527e-14 3.381706680511e-15 -1.075001866728e-16 4.318197389771e-17 + 1142 1.659304921578e-10 1.831162217931e-12 -4.968368669116e-12 1.259186786227e-14 3.370021819406e-15 -1.072313522610e-16 4.150883662575e-17 + 1143 1.657586531080e-10 1.824024297613e-12 -4.846556484838e-12 1.259185549150e-14 3.358386523069e-15 -1.069322245152e-16 3.984669170306e-17 + 1144 1.655764180416e-10 1.817518194064e-12 -4.724807696337e-12 1.259170167778e-14 3.346800577491e-15 -1.065978702458e-16 3.819535255201e-17 + 1145 1.653838522151e-10 1.811642335039e-12 -4.603174553860e-12 1.259140560319e-14 3.335263764812e-15 -1.062233225741e-16 3.655463087699e-17 + 1146 1.651810216044e-10 1.806395119357e-12 -4.481709662819e-12 1.259096644710e-14 3.323775863314e-15 -1.058035808602e-16 3.492433666033e-17 + 1147 1.649679929057e-10 1.801774916827e-12 -4.360465984556e-12 1.259038338618e-14 3.312336647405e-15 -1.053336106291e-16 3.330427815816e-17 + 1148 1.647448335380e-10 1.797780068167e-12 -4.239496837108e-12 1.258965559436e-14 3.300945887611e-15 -1.048083434986e-16 3.169426189639e-17 + 1149 1.645116116444e-10 1.794408884931e-12 -4.118855895971e-12 1.258878224286e-14 3.289603350566e-15 -1.042226771057e-16 3.009409266656e-17 + 1150 1.642683960941e-10 1.791659649433e-12 -3.998597194864e-12 1.258776250016e-14 3.278308799000e-15 -1.035714750340e-16 2.850357352177e-17 + 1151 1.640152564840e-10 1.789530614665e-12 -3.878775126496e-12 1.258659553202e-14 3.267061991732e-15 -1.028495667403e-16 2.692250577259e-17 + 1152 1.637522631404e-10 1.788020004228e-12 -3.759444443328e-12 1.258528050145e-14 3.255862683652e-15 -1.020517474823e-16 2.535068898295e-17 + 1153 1.634794871210e-10 1.787126012253e-12 -3.640660258338e-12 1.258381656873e-14 3.244710625720e-15 -1.011727782448e-16 2.378792096607e-17 + 1154 1.631970002163e-10 1.786846803321e-12 -3.522478045786e-12 1.258220289138e-14 3.233605564948e-15 -1.002073856675e-16 2.223399778036e-17 + 1155 1.629048749517e-10 1.787180512391e-12 -3.404953641980e-12 1.258043862418e-14 3.222547244391e-15 -9.915026197135e-17 2.068871372530e-17 + 1156 1.626031845891e-10 1.788125244722e-12 -3.288143246038e-12 1.257852291915e-14 3.211535403141e-15 -9.799606488606e-17 1.915186133740e-17 + 1157 1.622920031284e-10 1.789679075796e-12 -3.172103420654e-12 1.257645492557e-14 3.200569776312e-15 -9.673941757691e-17 1.762323138605e-17 + 1158 1.619714053097e-10 1.791840051242e-12 -3.056891092861e-12 1.257423378993e-14 3.189650095028e-15 -9.537490857178e-17 1.610261286948e-17 + 1159 1.616414666148e-10 1.794606186762e-12 -2.942563554798e-12 1.257185865596e-14 3.178776086417e-15 -9.389709168821e-17 1.458979301062e-17 + 1160 1.613022632689e-10 1.797975468050e-12 -2.829178464474e-12 1.256932866463e-14 3.167947473601e-15 -9.230048596042e-17 1.308455725305e-17 + 1161 1.609538722426e-10 1.801945850717e-12 -2.716793846531e-12 1.256664295414e-14 3.157163975677e-15 -9.057957556630e-17 1.158668925688e-17 + 1162 1.605963712533e-10 1.806515260219e-12 -2.605468093008e-12 1.256380065987e-14 3.146425307718e-15 -8.872880975446e-17 1.009597089466e-17 + 1163 1.602298387672e-10 1.811681591775e-12 -2.495259964109e-12 1.256080091447e-14 3.135731180754e-15 -8.674260277126e-17 8.612182247294e-18 + 1164 1.598543540010e-10 1.817442710292e-12 -2.386228588966e-12 1.255764284777e-14 3.125081301765e-15 -8.461533378781e-17 7.135101599941e-18 + 1165 1.594699969235e-10 1.823796450291e-12 -2.278433466400e-12 1.255432558681e-14 3.114475373670e-15 -8.234134682698e-17 5.664505437933e-18 + 1166 1.590768482577e-10 1.830740615827e-12 -2.171934465691e-12 1.255084825583e-14 3.103913095315e-15 -7.991495069048e-17 4.200168442672e-18 + 1167 1.586749894822e-10 1.838272980416e-12 -2.066791827341e-12 1.254720997628e-14 3.093394161467e-15 -7.733041888581e-17 2.741863487543e-18 + 1168 1.582645166544e-10 1.846390237603e-12 -1.963059771344e-12 1.254341021205e-14 3.082918292814e-15 -7.458388006936e-17 1.289414228027e-18 + 1169 1.578455820657e-10 1.855084838462e-12 -1.860767232916e-12 1.253944980991e-14 3.072485326427e-15 -7.167901541893e-17 -1.571463992833e-19 + 1170 1.574183531111e-10 1.864348114367e-12 -1.759936887229e-12 1.253532997208e-14 3.062095126410e-15 -6.862143240810e-17 -1.597732700513e-18 + 1171 1.569829985182e-10 1.874171322598e-12 -1.660591520245e-12 1.253105191221e-14 3.051747553982e-15 -6.541678084940e-17 -3.032258638299e-18 + 1172 1.565396883496e-10 1.884545646165e-12 -1.562754028916e-12 1.252661685536e-14 3.041442467466e-15 -6.207075298748e-17 -4.460637831264e-18 + 1173 1.560885940065e-10 1.895462193640e-12 -1.466447421385e-12 1.252202603808e-14 3.031179722283e-15 -5.858908359232e-17 -5.882783553482e-18 + 1174 1.556298882314e-10 1.906911998992e-12 -1.371694817193e-12 1.251728070839e-14 3.020959170942e-15 -5.497755005240e-17 -7.298608733953e-18 + 1175 1.551637451111e-10 1.918886021413e-12 -1.278519447480e-12 1.251238212586e-14 3.010780663034e-15 -5.124197246782e-17 -8.708025956068e-18 + 1176 1.546903400795e-10 1.931375145156e-12 -1.186944655185e-12 1.250733156155e-14 3.000644045225e-15 -4.738821374355e-17 -1.011094745709e-17 + 1177 1.542098499209e-10 1.944370179361e-12 -1.096993895255e-12 1.250213029815e-14 2.990549161244e-15 -4.342217968255e-17 -1.150728512760e-17 + 1178 1.537224527725e-10 1.957861857887e-12 -1.008690734839e-12 1.249677962990e-14 2.980495851878e-15 -3.934981907895e-17 -1.289695051102e-17 + 1179 1.532283281279e-10 1.971840839146e-12 -9.220588535008e-13 1.249128086267e-14 2.970483954966e-15 -3.517712381127e-17 -1.427985480300e-17 + 1180 1.527276568397e-10 1.986297705932e-12 -8.371220434125e-13 1.248563531400e-14 2.960513305387e-15 -3.091012893551e-17 -1.565590885098e-17 + 1181 1.522206211225e-10 2.001222965254e-12 -7.539042095633e-13 1.247984431307e-14 2.950583735054e-15 -2.655491277841e-17 -1.702502315358e-17 + 1182 1.517074045560e-10 2.016607048166e-12 -6.724293699596e-13 1.247390920079e-14 2.940695072907e-15 -2.211759703055e-17 -1.838710786014e-17 + 1183 1.511881920879e-10 2.032440309598e-12 -5.927216558285e-13 1.246783132978e-14 2.930847144904e-15 -1.760434683961e-17 -1.974207277014e-17 + 1184 1.506631700367e-10 2.048713028190e-12 -5.148053118205e-13 1.246161206441e-14 2.921039774011e-15 -1.302137090343e-17 -2.108982733269e-17 + 1185 1.501325260951e-10 2.065415406120e-12 -4.387046962119e-13 1.245525278083e-14 2.911272780201e-15 -8.374921563293e-18 -2.243028064599e-17 + 1186 1.495964493323e-10 2.082537568938e-12 -3.644442811080e-13 1.244875486700e-14 2.901545980438e-15 -3.671294897032e-18 -2.376334145683e-17 + 1187 1.490551301978e-10 2.100069565395e-12 -2.920486526454e-13 1.244211972271e-14 2.891859188672e-15 1.083169187774e-18 -2.508891816001e-17 + 1188 1.485087605234e-10 2.118001367279e-12 -2.215425111950e-13 1.243534875959e-14 2.882212215836e-15 5.882086860628e-18 -2.640691879787e-17 + 1189 1.479575335271e-10 2.136322869238e-12 -1.529506715648e-13 1.242844340118e-14 2.872604869829e-15 1.071903027494e-17 -2.771725105971e-17 + 1190 1.474016438153e-10 2.155023888621e-12 -8.629806320242e-14 1.242140508290e-14 2.863036955515e-15 1.558752747487e-17 -2.901982228129e-17 + 1191 1.468412873864e-10 2.174094165302e-12 -2.160973039783e-14 1.241423525212e-14 2.853508274715e-15 2.048106230211e-17 -3.031453944428e-17 + 1192 1.462766616333e-10 2.193523361514e-12 4.108916751371e-14 1.240693536818e-14 2.844018626194e-15 2.539307430278e-17 -3.160130917574e-17 + 1193 1.457079653464e-10 2.213301061683e-12 1.017733559491e-13 1.239950690237e-14 2.834567805657e-15 3.031695863417e-17 -3.288003774761e-17 + 1194 1.451353987170e-10 2.233416772253e-12 1.604174448744e-13 1.239195133804e-14 2.825155605741e-15 3.524606597165e-17 -3.415063107615e-17 + 1195 1.445591633397e-10 2.253859921526e-12 2.169959286026e-13 1.238427017054e-14 2.815781816008e-15 4.017370241544e-17 -3.541299472141e-17 + 1196 1.439794622157e-10 2.274619859484e-12 2.714831855903e-13 1.237646490731e-14 2.806446222931e-15 4.509312939745e-17 -3.666703388673e-17 + 1197 1.433964997556e-10 2.295685857626e-12 3.238534782354e-13 1.236853706786e-14 2.797148609896e-15 4.999756358812e-17 -3.791265341819e-17 + 1198 1.428104817826e-10 2.317047108802e-12 3.740809526742e-13 1.236048818385e-14 2.787888757185e-15 5.488017680323e-17 -3.914975780407e-17 + 1199 1.422216155352e-10 2.338692727034e-12 4.221396385784e-13 1.235231979904e-14 2.778666441974e-15 5.973409591073e-17 -4.037825117436e-17 + 1200 1.416301096704e-10 2.360611747360e-12 4.680034489531e-13 1.234403346939e-14 2.769481438322e-15 6.455240273757e-17 -4.159803730017e-17 + 1201 1.410361742662e-10 2.382793125657e-12 5.116461799333e-13 1.233563076305e-14 2.760333517164e-15 6.932813397653e-17 -4.280901959326e-17 + 1202 1.404400208253e-10 2.405225738472e-12 5.530415105815e-13 1.232711326038e-14 2.751222446304e-15 7.405428109305e-17 -4.401110110547e-17 + 1203 1.398418622775e-10 2.427898382862e-12 5.921630026850e-13 1.231848255400e-14 2.742147990405e-15 7.872379023203e-17 -4.520418452822e-17 + 1204 1.392419129827e-10 2.450799776213e-12 6.289841005530e-13 1.230974024880e-14 2.733109910984e-15 8.332956212467e-17 -4.638817219196e-17 + 1205 1.386403887341e-10 2.473918556082e-12 6.634781308141e-13 1.230088796197e-14 2.724107966401e-15 8.786445199533e-17 -4.756296606562e-17 + 1206 1.380375067612e-10 2.497243280024e-12 6.956183022133e-13 1.229192732302e-14 2.715141911855e-15 9.232126946830e-17 -4.872846775615e-17 + 1207 1.374334760331e-10 2.520762638278e-12 7.253841425826e-13 1.228286007845e-14 2.706211522882e-15 9.669454604175e-17 -4.988456034760e-17 + 1208 1.368284680359e-10 2.544466094999e-12 7.527808954884e-13 1.227368840704e-14 2.697316666197e-15 1.009858611268e-16 -5.103105367896e-17 + 1209 1.362226456474e-10 2.568343254458e-12 7.778203580779e-13 1.226441460842e-14 2.688457229698e-15 1.051985803223e-16 -5.216773840258e-17 + 1210 1.356161728067e-10 2.592383648740e-12 8.005144655392e-13 1.225504099883e-14 2.679633099024e-15 1.093360937510e-16 -5.329440408242e-17 + 1211 1.350092145162e-10 2.616576737590e-12 8.208752914283e-13 1.224556991113e-14 2.670844157553e-15 1.134018161112e-16 -5.441083919192e-17 + 1212 1.344019368437e-10 2.640911908267e-12 8.389150479962e-13 1.223600369488e-14 2.662090286392e-15 1.173991867295e-16 -5.551683111209e-17 + 1213 1.337945069250e-10 2.665378475386e-12 8.546460865160e-13 1.222634471633e-14 2.653371364373e-15 1.213316696130e-16 -5.661216612941e-17 + 1214 1.331870929653e-10 2.689965680772e-12 8.680808976101e-13 1.221659535847e-14 2.644687268048e-15 1.252027535016e-16 -5.769662943383e-17 + 1215 1.325798642420e-10 2.714662693309e-12 8.792321115768e-13 1.220675802108e-14 2.636037871682e-15 1.290159519200e-16 -5.877000511675e-17 + 1216 1.319729911068e-10 2.739458608784e-12 8.881124987178e-13 1.219683512073e-14 2.627423047245e-15 1.327748032305e-16 -5.983207616897e-17 + 1217 1.313666449875e-10 2.764342449742e-12 8.947349696651e-13 1.218682909086e-14 2.618842664410e-15 1.364828706852e-16 -6.088262447871e-17 + 1218 1.307609983904e-10 2.789303165330e-12 8.991125757078e-13 1.217674238177e-14 2.610296590545e-15 1.401437424778e-16 -6.192143082956e-17 + 1219 1.301562249028e-10 2.814329631149e-12 9.012585091197e-13 1.216657746070e-14 2.601784690706e-15 1.437610317965e-16 -6.294827489844e-17 + 1220 1.295524991944e-10 2.839410649102e-12 9.011861034859e-13 1.215633681182e-14 2.593306827634e-15 1.473383768760e-16 -6.396293525360e-17 + 1221 1.289499970201e-10 2.864534947242e-12 8.989088340300e-13 1.214602293629e-14 2.584862861744e-15 1.508794410499e-16 -6.496518935260e-17 + 1222 1.283488952219e-10 2.889691179622e-12 8.944403179411e-13 1.213563835228e-14 2.576452651125e-15 1.543879128030e-16 -6.595481354026e-17 + 1223 1.277493717312e-10 2.914867926142e-12 8.877943147010e-13 1.212518559505e-14 2.568076051531e-15 1.578675058233e-16 -6.693158304666e-17 + 1224 1.271516055708e-10 2.940053692401e-12 8.789847264111e-13 1.211466721690e-14 2.559732916374e-15 1.613219590550e-16 -6.789527198511e-17 + 1225 1.265557768573e-10 2.965236909544e-12 8.680255981194e-13 1.210408578729e-14 2.551423096721e-15 1.647550367499e-16 -6.884565335009e-17 + 1226 1.259620668028e-10 2.990405934109e-12 8.549311181479e-13 1.209344389282e-14 2.543146441286e-15 1.681705285206e-16 -6.978249901531e-17 + 1227 1.253706577178e-10 3.015549047881e-12 8.397156184193e-13 1.208274413729e-14 2.534902796423e-15 1.715722493919e-16 -7.070557973159e-17 + 1228 1.247817330126e-10 3.040654457735e-12 8.223935747840e-13 1.207198914174e-14 2.526692006123e-15 1.749640398540e-16 -7.161466512489e-17 + 1229 1.241954772001e-10 3.065710295489e-12 8.029796073476e-13 1.206118154445e-14 2.518513912006e-15 1.783497659141e-16 -7.250952369429e-17 + 1230 1.236120758974e-10 3.090704617752e-12 7.814884807974e-13 1.205032400100e-14 2.510368353315e-15 1.817333191490e-16 -7.338992280994e-17 + 1231 1.230317158285e-10 3.115625405772e-12 7.579351047299e-13 1.203941918433e-14 2.502255166913e-15 1.851186167573e-16 -7.425562871103e-17 + 1232 1.224545848260e-10 3.140460565283e-12 7.323345339776e-13 1.202846978471e-14 2.494174187271e-15 1.885096016120e-16 -7.510640650382e-17 + 1233 1.218808718337e-10 3.165197926360e-12 7.047019689363e-13 1.201747850983e-14 2.486125246469e-15 1.919102423122e-16 -7.594202015954e-17 + 1234 1.213107669083e-10 3.189825243262e-12 6.750527558916e-13 1.200644808482e-14 2.478108174185e-15 1.953245332361e-16 -7.676223251243e-17 + 1235 1.207444612220e-10 3.214330194283e-12 6.434023873467e-13 1.199538125227e-14 2.470122797690e-15 1.987564945927e-16 -7.756680525767e-17 + 1236 1.201821470644e-10 3.238700381600e-12 6.097665023490e-13 1.198428077228e-14 2.462168941845e-15 2.022101724745e-16 -7.835549894939e-17 + 1237 1.196240178447e-10 3.262923331124e-12 5.741608868171e-13 1.197314942250e-14 2.454246429091e-15 2.056896389097e-16 -7.912807299863e-17 + 1238 1.190702680940e-10 3.286986492348e-12 5.366014738680e-13 1.196198999813e-14 2.446355079447e-15 2.091989919141e-16 -7.988428567130e-17 + 1239 1.185210934672e-10 3.310877238193e-12 4.971043441444e-13 1.195080531201e-14 2.438494710500e-15 2.127423555443e-16 -8.062389408619e-17 + 1240 1.179766907457e-10 3.334582864863e-12 4.556857261412e-13 1.193959819460e-14 2.430665137400e-15 2.163238799490e-16 -8.134665421293e-17 + 1241 1.174372578386e-10 3.358090591685e-12 4.123619965331e-13 1.192837149405e-14 2.422866172859e-15 2.199477414220e-16 -8.205232086994e-17 + 1242 1.169029937861e-10 3.381387560969e-12 3.671496805011e-13 1.191712807623e-14 2.415097627137e-15 2.236181424542e-16 -8.274064772246e-17 + 1243 1.163740987607e-10 3.404460837845e-12 3.200654520601e-13 1.190587082475e-14 2.407359308043e-15 2.273393117859e-16 -8.341138728049e-17 + 1244 1.158507740697e-10 3.427297410123e-12 2.711261343856e-13 1.189460264099e-14 2.399651020924e-15 2.311155044591e-16 -8.406429089674e-17 + 1245 1.153332221574e-10 3.449884188133e-12 2.203487001410e-13 1.188332644418e-14 2.391972568662e-15 2.349510018700e-16 -8.469910876467e-17 + 1246 1.148216231183e-10 3.472209219629e-12 1.677531862789e-13 1.187204500294e-14 2.384323770204e-15 2.388488052941e-16 -8.531566872391e-17 + 1247 1.143160639310e-10 3.494265350385e-12 1.133714752166e-13 1.186076042787e-14 2.376704516411e-15 2.428066995800e-16 -8.591411369270e-17 + 1248 1.138166083983e-10 3.516046606241e-12 5.723861733529e-14 1.184947467311e-14 2.369114714848e-15 2.468211433774e-16 -8.649466701705e-17 + 1249 1.133233205612e-10 3.537546981899e-12 -6.100735978572e-16 1.183818970423e-14 2.361554271310e-15 2.508885714263e-16 -8.705755392006e-17 + 1250 1.128362646993e-10 3.558760440861e-12 -6.013901987727e-14 1.182690749828e-14 2.354023089813e-15 2.550053945086e-16 -8.760300150595e-17 + 1251 1.123555053311e-10 3.579680915371e-12 -1.213123793069e-13 1.181563004382e-14 2.346521072590e-15 2.591679993990e-16 -8.813123876411e-17 + 1252 1.118811072143e-10 3.600302306360e-12 -1.840940446480e-13 1.180435934090e-14 2.339048120088e-15 2.633727488166e-16 -8.864249657322e-17 + 1253 1.114131353464e-10 3.620618483389e-12 -2.484476430673e-13 1.179309740112e-14 2.331604130960e-15 2.676159813767e-16 -8.913700770522e-17 + 1254 1.109516549647e-10 3.640623284591e-12 -3.143365355842e-13 1.178184624764e-14 2.324189002065e-15 2.718940115416e-16 -8.961500682948e-17 + 1255 1.104967315469e-10 3.660310516613e-12 -3.817238165195e-13 1.177060791518e-14 2.316802628462e-15 2.762031295722e-16 -9.007673051675e-17 + 1256 1.100484308114e-10 3.679673954558e-12 -4.505723129424e-13 1.175938445010e-14 2.309444903402e-15 2.805396014797e-16 -9.052241724333e-17 + 1257 1.096068187175e-10 3.698707341930e-12 -5.208445841190e-13 1.174817791034e-14 2.302115718329e-15 2.848996689764e-16 -9.095230739506e-17 + 1258 1.091719614660e-10 3.717404390576e-12 -5.925029209599e-13 1.173699036551e-14 2.294814962870e-15 2.892795494276e-16 -9.136664327139e-17 + 1259 1.087439254995e-10 3.735758780629e-12 -6.655093454679e-13 1.172582389689e-14 2.287542524836e-15 2.936754358030e-16 -9.176566908947e-17 + 1260 1.083227775024e-10 3.753764160449e-12 -7.398256101862e-13 1.171468059744e-14 2.280298290212e-15 2.980834966275e-16 -9.214963098821e-17 + 1261 1.079085844017e-10 3.771414146566e-12 -8.154131976460e-13 1.170356257182e-14 2.273082143158e-15 3.024998759334e-16 -9.251877703230e-17 + 1262 1.075014133674e-10 3.788702323626e-12 -8.922333198145e-13 1.169247193645e-14 2.265893965999e-15 3.069206932112e-16 -9.287335721633e-17 + 1263 1.071013318122e-10 3.805622244328e-12 -9.702469175427e-13 1.168141081947e-14 2.258733639224e-15 3.113420433612e-16 -9.321362346882e-17 + 1264 1.067084073926e-10 3.822167429374e-12 -1.049414660013e-12 1.167038136081e-14 2.251601041482e-15 3.157599966450e-16 -9.353982965626e-17 + 1265 1.063227080089e-10 3.838331367404e-12 -1.129696944188e-12 1.165938571222e-14 2.244496049574e-15 3.201705986365e-16 -9.385223158723e-17 + 1266 1.059443018054e-10 3.854107514945e-12 -1.211053894257e-12 1.164842603722e-14 2.237418538452e-15 3.245698701741e-16 -9.415108701643e-17 + 1267 1.055732571711e-10 3.869489296350e-12 -1.293445361084e-12 1.163750451122e-14 2.230368381211e-15 3.289538073110e-16 -9.443665564872e-17 + 1268 1.052096427399e-10 3.884470103741e-12 -1.376830921657e-12 1.162662332145e-14 2.223345449088e-15 3.333183812675e-16 -9.470919914323e-17 + 1269 1.048535273909e-10 3.899043296954e-12 -1.461169878536e-12 1.161578466706e-14 2.216349611456e-15 3.376595383821e-16 -9.496898111737e-17 + 1270 1.045049802489e-10 3.913202203481e-12 -1.546421259298e-12 1.160499075909e-14 2.209380735820e-15 3.419732000625e-16 -9.521626715096e-17 + 1271 1.041640706843e-10 3.926940118409e-12 -1.632543815986e-12 1.159424382048e-14 2.202438687809e-15 3.462552627379e-16 -9.545132479022e-17 + 1272 1.038308683142e-10 3.940250304368e-12 -1.719496024560e-12 1.158354608618e-14 2.195523331177e-15 3.505015978092e-16 -9.567442355187e-17 + 1273 1.035054430021e-10 3.953125991471e-12 -1.807236084340e-12 1.157289980304e-14 2.188634527795e-15 3.547080516016e-16 -9.588583492719e-17 + 1274 1.031878648587e-10 3.965560377258e-12 -1.895721917458e-12 1.156230722997e-14 2.181772137647e-15 3.588704453151e-16 -9.608583238609e-17 + 1275 1.028782042419e-10 3.977546626636e-12 -1.984911168304e-12 1.155177063783e-14 2.174936018827e-15 3.629845749763e-16 -9.627469138115e-17 + 1276 1.025765317572e-10 3.989077871825e-12 -2.074761202972e-12 1.154129230957e-14 2.168126027532e-15 3.670462113898e-16 -9.645268935168e-17 + 1277 1.022829182585e-10 4.000147212298e-12 -2.165229108712e-12 1.153087454017e-14 2.161342018058e-15 3.710511000893e-16 -9.662010572782e-17 + 1278 1.019974348477e-10 4.010747714727e-12 -2.256271693374e-12 1.152051963669e-14 2.154583842799e-15 3.749949612895e-16 -9.677722193457e-17 + 1279 1.017201528758e-10 4.020872412923e-12 -2.347845484858e-12 1.151022991829e-14 2.147851352236e-15 3.788734898371e-16 -9.692432139585e-17 + 1280 1.014511439426e-10 4.030514307777e-12 -2.439906730563e-12 1.150000771627e-14 2.141144394938e-15 3.826823551620e-16 -9.706168953858e-17 + 1281 1.011904798977e-10 4.039666367209e-12 -2.532411396831e-12 1.148985537404e-14 2.134462817557e-15 3.864172012294e-16 -9.718961379674e-17 + 1282 1.009382328402e-10 4.048321526104e-12 -2.625315168397e-12 1.147977524721e-14 2.127806464820e-15 3.900736464906e-16 -9.730838361541e-17 + 1283 1.006944751195e-10 4.056472686259e-12 -2.718573447840e-12 1.146976970356e-14 2.121175179526e-15 3.936472838345e-16 -9.741829045488e-17 + 1284 1.004592793355e-10 4.064112716325e-12 -2.812141355024e-12 1.145984112309e-14 2.114568802544e-15 3.971336805393e-16 -9.751962779463e-17 + 1285 1.002326967123e-10 4.071235873885e-12 -2.905975475804e-12 1.144999158634e-14 2.107987187487e-15 4.005295786114e-16 -9.761263642701e-17 + 1286 1.000146919494e-10 4.077842089519e-12 -3.000039131011e-12 1.144022193554e-14 2.101430244939e-15 4.038365108483e-16 -9.769733964848e-17 + 1287 9.980520763005e-11 4.083932731368e-12 -3.094297166315e-12 1.143053270283e-14 2.094897898721e-15 4.070572258206e-16 -9.777370620134e-17 + 1288 9.960418577925e-11 4.089509187467e-12 -3.188714207984e-12 1.142092442099e-14 2.088390071255e-15 4.101944912550e-16 -9.784170481413e-17 + 1289 9.941156786272e-11 4.094572865785e-12 -3.283254662463e-12 1.141139762339e-14 2.081906683560e-15 4.132510940729e-16 -9.790130420176e-17 + 1290 9.922729478562e-11 4.099125194276e-12 -3.377882715944e-12 1.140195284404e-14 2.075447655247e-15 4.162298404289e-16 -9.795247306557e-17 + 1291 9.905130689132e-11 4.103167620924e-12 -3.472562333946e-12 1.139259061757e-14 2.069012904517e-15 4.191335557494e-16 -9.799518009344e-17 + 1292 9.888354396019e-11 4.106701613786e-12 -3.567257260886e-12 1.138331147923e-14 2.062602348156e-15 4.219650847710e-16 -9.802939395989e-17 + 1293 9.872394520839e-11 4.109728661044e-12 -3.661931019656e-12 1.137411596488e-14 2.056215901534e-15 4.247272915792e-16 -9.805508332614e-17 + 1294 9.857244928663e-11 4.112250271044e-12 -3.756546911195e-12 1.136500461099e-14 2.049853478599e-15 4.274230596473e-16 -9.807221684021e-17 + 1295 9.842899427897e-11 4.114267972346e-12 -3.851068014068e-12 1.135597795467e-14 2.043514991875e-15 4.300552918741e-16 -9.808076313703e-17 + 1296 9.829351770158e-11 4.115783313772e-12 -3.945457184039e-12 1.134703653360e-14 2.037200352457e-15 4.326269106232e-16 -9.808069083849e-17 + 1297 9.816595650155e-11 4.116797864445e-12 -4.039677053644e-12 1.133818088613e-14 2.030909470010e-15 4.351408577616e-16 -9.807196855357e-17 + 1298 9.804624705564e-11 4.117313213843e-12 -4.133690031769e-12 1.132941155119e-14 2.024642252765e-15 4.376000946975e-16 -9.805456487839e-17 + 1299 9.793432516910e-11 4.117330971839e-12 -4.227458303223e-12 1.132072906831e-14 2.018398607513e-15 4.400076024199e-16 -9.802844839635e-17 + 1300 9.783012607439e-11 4.116852768751e-12 -4.320943828313e-12 1.131213397766e-14 2.012178439603e-15 4.423663815361e-16 -9.799358767815e-17 + 1301 9.773358443004e-11 4.115880255385e-12 -4.414108342421e-12 1.130362682001e-14 2.005981652940e-15 4.446794523112e-16 -9.794995128195e-17 + 1302 9.764463431935e-11 4.114415103082e-12 -4.506913355574e-12 1.129520813673e-14 1.999808149980e-15 4.469498547060e-16 -9.789750775341e-17 + 1303 9.756320924924e-11 4.112459003766e-12 -4.599320152026e-12 1.128687846981e-14 1.993657831727e-15 4.491806484160e-16 -9.783622562582e-17 + 1304 9.748924214897e-11 4.110013669986e-12 -4.691289789825e-12 1.127863836183e-14 1.987530597730e-15 4.513749129096e-16 -9.776607342013e-17 + 1305 9.742266536898e-11 4.107080834966e-12 -4.782783100394e-12 1.127048835599e-14 1.981426346077e-15 4.535357474670e-16 -9.768701964510e-17 + 1306 9.736341067963e-11 4.103662252648e-12 -4.873760688103e-12 1.126242899610e-14 1.975344973396e-15 4.556662712185e-16 -9.759903279737e-17 + 1307 9.731140926998e-11 4.099759697740e-12 -4.964182929845e-12 1.125446082656e-14 1.969286374848e-15 4.577696231832e-16 -9.750208136153e-17 + 1308 9.726659174661e-11 4.095374965761e-12 -5.054009974610e-12 1.124658439239e-14 1.963250444123e-15 4.598489623075e-16 -9.739613381022e-17 + 1309 9.722888813236e-11 4.090509873087e-12 -5.143201743061e-12 1.123880023919e-14 1.957237073440e-15 4.619074675037e-16 -9.728115860425e-17 + 1310 9.719822786513e-11 4.085166256997e-12 -5.231717927107e-12 1.123110891318e-14 1.951246153543e-15 4.639483376886e-16 -9.715712419262e-17 + 1311 9.717453979664e-11 4.079345975719e-12 -5.319517989480e-12 1.122351096117e-14 1.945277573692e-15 4.659747918219e-16 -9.702399901268e-17 + 1312 9.715775219126e-11 4.073050908477e-12 -5.406561163309e-12 1.121600693057e-14 1.939331221667e-15 4.679900689450e-16 -9.688175149020e-17 + 1313 9.714779272472e-11 4.066282955536e-12 -5.492806451694e-12 1.120859736941e-14 1.933406983761e-15 4.699974282194e-16 -9.673035003942e-17 + 1314 9.714458848297e-11 4.059044038246e-12 -5.578212627283e-12 1.120128282629e-14 1.927504744776e-15 4.720001489652e-16 -9.656976306320e-17 + 1315 9.714806596089e-11 4.051336099094e-12 -5.662738231843e-12 1.119406385041e-14 1.921624388020e-15 4.740015306998e-16 -9.639995895304e-17 + 1316 9.715815106111e-11 4.043161101743e-12 -5.746341575842e-12 1.118694099158e-14 1.915765795306e-15 4.760048931766e-16 -9.622090608925e-17 + 1317 9.717476909278e-11 4.034521031081e-12 -5.828980738014e-12 1.117991480020e-14 1.909928846943e-15 4.780135764232e-16 -9.603257284098e-17 + 1318 9.719784477036e-11 4.025417893269e-12 -5.910613564944e-12 1.117298582726e-14 1.904113421739e-15 4.800309407802e-16 -9.583492756631e-17 + 1319 9.722730221239e-11 4.015853715783e-12 -5.991197670635e-12 1.116615462434e-14 1.898319396994e-15 4.820603669396e-16 -9.562793861239e-17 + 1320 9.726306494028e-11 4.005830547465e-12 -6.070690436087e-12 1.115942174363e-14 1.892546648495e-15 4.841052559837e-16 -9.541157431546e-17 + 1321 9.730505587707e-11 3.995350458562e-12 -6.149049008872e-12 1.115278773788e-14 1.886795050517e-15 4.861690294233e-16 -9.518580300100e-17 + 1322 9.735319734624e-11 3.984415540780e-12 -6.226230302706e-12 1.114625316046e-14 1.881064475817e-15 4.882551292363e-16 -9.495059298378e-17 + 1323 9.740741107047e-11 3.973027907322e-12 -6.302190997026e-12 1.113981856531e-14 1.875354795628e-15 4.903670179067e-16 -9.470591256798e-17 + 1324 9.746761021971e-11 3.961190504091e-12 -6.376892299939e-12 1.113348424880e-14 1.869665891329e-15 4.925070552370e-16 -9.445174754698e-17 + 1325 9.753367546171e-11 3.948909552974e-12 -6.450314295483e-12 1.112724947208e-14 1.863997689587e-15 4.946731151375e-16 -9.418815391426e-17 + 1326 9.760547864454e-11 3.936192135629e-12 -6.522441753959e-12 1.112111323012e-14 1.858350127590e-15 4.968619315520e-16 -9.391520573480e-17 + 1327 9.768289072162e-11 3.923045384884e-12 -6.593259382836e-12 1.111507450910e-14 1.852723141420e-15 4.990702182559e-16 -9.363297769942e-17 + 1328 9.776578174994e-11 3.909476484837e-12 -6.662751826652e-12 1.110913228637e-14 1.847116666041e-15 5.012946688172e-16 -9.334154512611e-17 + 1329 9.785402088828e-11 3.895492670961e-12 -6.730903666909e-12 1.110328553046e-14 1.841530635304e-15 5.035319565591e-16 -9.304098396127e-17 + 1330 9.794747639545e-11 3.881101230200e-12 -6.797699421981e-12 1.109753320104e-14 1.835964981937e-15 5.057787345209e-16 -9.273137078104e-17 + 1331 9.804601562854e-11 3.866309501078e-12 -6.863123547011e-12 1.109187424890e-14 1.830419637550e-15 5.080316354203e-16 -9.241278279254e-17 + 1332 9.814950504116e-11 3.851124873791e-12 -6.927160433812e-12 1.108630761594e-14 1.824894532628e-15 5.102872716147e-16 -9.208529783520e-17 + 1333 9.825781018165e-11 3.835554790319e-12 -6.989794410767e-12 1.108083223517e-14 1.819389596527e-15 5.125422350636e-16 -9.174899438202e-17 + 1334 9.837079569136e-11 3.819606744518e-12 -7.051009742732e-12 1.107544703063e-14 1.813904757475e-15 5.147930972893e-16 -9.140395154086e-17 + 1335 9.848832530284e-11 3.803288282227e-12 -7.110790630934e-12 1.107015091745e-14 1.808439942567e-15 5.170364093398e-16 -9.105024905573e-17 + 1336 9.861026183811e-11 3.786607001369e-12 -7.169121212874e-12 1.106494280177e-14 1.802995077764e-15 5.192687017496e-16 -9.068796730807e-17 + 1337 9.873646720687e-11 3.769570552050e-12 -7.225985562227e-12 1.105982158076e-14 1.797570087888e-15 5.214864845018e-16 -9.031718731805e-17 + 1338 9.886680240479e-11 3.752186636663e-12 -7.281367688741e-12 1.105478614259e-14 1.792164896622e-15 5.236862469900e-16 -8.993799074586e-17 + 1339 9.900112751166e-11 3.734463009990e-12 -7.335251538142e-12 1.104983536639e-14 1.786779426504e-15 5.258644579795e-16 -8.955045989295e-17 + 1340 9.913930168973e-11 3.716407479298e-12 -7.387620992029e-12 1.104496812226e-14 1.781413598928e-15 5.280175655698e-16 -8.915467770338e-17 + 1341 9.928118318185e-11 3.698027904447e-12 -7.438459867778e-12 1.104018327124e-14 1.776067334139e-15 5.301419971556e-16 -8.875072776508e-17 + 1342 9.942662930979e-11 3.679332197990e-12 -7.487751918445e-12 1.103547966530e-14 1.770740551233e-15 5.322341593889e-16 -8.833869431111e-17 + 1343 9.957549647240e-11 3.660328325271e-12 -7.535480832661e-12 1.103085614729e-14 1.765433168148e-15 5.342904381407e-16 -8.791866222098e-17 + 1344 9.972764014391e-11 3.641024304530e-12 -7.581630234536e-12 1.102631155097e-14 1.760145101671e-15 5.363071984626e-16 -8.749071702194e-17 + 1345 9.988291487214e-11 3.621428207004e-12 -7.626183683562e-12 1.102184470096e-14 1.754876267425e-15 5.382807845488e-16 -8.705494489024e-17 + 1346 1.000411742767e-10 3.601548157026e-12 -7.669124674510e-12 1.101745441271e-14 1.749626579875e-15 5.402075196974e-16 -8.661143265243e-17 + 1347 1.002022710474e-10 3.581392332129e-12 -7.710436637329e-12 1.101313949254e-14 1.744395952320e-15 5.420837062725e-16 -8.616026778664e-17 + 1348 1.003660569422e-10 3.560968963149e-12 -7.750102937054e-12 1.100889873753e-14 1.739184296893e-15 5.439056256659e-16 -8.570153842388e-17 + 1349 1.005323827856e-10 3.540286334321e-12 -7.788106873700e-12 1.100473093559e-14 1.733991524555e-15 5.456695382587e-16 -8.523533334933e-17 + 1350 1.007010984671e-10 3.519352783385e-12 -7.824431682165e-12 1.100063486539e-14 1.728817545099e-15 5.473716833828e-16 -8.476174200358e-17 + 1351 1.008720529388e-10 3.498176701687e-12 -7.859060532132e-12 1.099660929635e-14 1.723662267139e-15 5.490082792834e-16 -8.428085448399e-17 + 1352 1.010450942146e-10 3.476766534279e-12 -7.891976527967e-12 1.099265298864e-14 1.718525598113e-15 5.505755230797e-16 -8.379276154591e-17 + 1353 1.012200693673e-10 3.455130780019e-12 -7.923162708622e-12 1.098876469313e-14 1.713407444279e-15 5.520695907276e-16 -8.329755460400e-17 + 1354 1.013968245280e-10 3.433277991679e-12 -7.952602047534e-12 1.098494315141e-14 1.708307710711e-15 5.534866369807e-16 -8.279532573352e-17 + 1355 1.015752048832e-10 3.411216776039e-12 -7.980277452529e-12 1.098118709572e-14 1.703226301299e-15 5.548227953523e-16 -8.228616767159e-17 + 1356 1.017550546741e-10 3.388955793991e-12 -8.006171765717e-12 1.097749524900e-14 1.698163118744e-15 5.560741780775e-16 -8.177017381851e-17 + 1357 1.019362171940e-10 3.366503760644e-12 -8.030267763399e-12 1.097386632480e-14 1.693118064555e-15 5.572368760742e-16 -8.124743823901e-17 + 1358 1.021185347871e-10 3.343869445419e-12 -8.052548155962e-12 1.097029902732e-14 1.688091039048e-15 5.583069589054e-16 -8.071805566357e-17 + 1359 1.023018488463e-10 3.321061672157e-12 -8.072995587784e-12 1.096679205135e-14 1.683081941344e-15 5.592804747406e-16 -8.018212148970e-17 + 1360 1.024859998118e-10 3.298089319216e-12 -8.091592637135e-12 1.096334408227e-14 1.678090669364e-15 5.601534503178e-16 -7.963973178318e-17 + 1361 1.026708271691e-10 3.274961319574e-12 -8.108321816071e-12 1.095995379604e-14 1.673117119827e-15 5.609218909051e-16 -7.909098327943e-17 + 1362 1.028561694474e-10 3.251686660931e-12 -8.123165570345e-12 1.095661985915e-14 1.668161188248e-15 5.615817802622e-16 -7.853597338472e-17 + 1363 1.030418721446e-10 3.228274211459e-12 -8.136110983813e-12 1.095334086459e-14 1.663222778244e-15 5.621303396213e-16 -7.797479785568e-17 + 1364 1.032278115987e-10 3.204732194818e-12 -8.147163947112e-12 1.095011513888e-14 1.658301829561e-15 5.625698194827e-16 -7.740754380784e-17 + 1365 1.034138713691e-10 3.181068709709e-12 -8.156335140792e-12 1.094694093294e-14 1.653398290344e-15 5.629037484227e-16 -7.683429663463e-17 + 1366 1.035999343318e-10 3.157291903806e-12 -8.163635344802e-12 1.094381648588e-14 1.648512107849e-15 5.631356778077e-16 -7.625514232353e-17 + 1367 1.037858826777e-10 3.133409973845e-12 -8.169075438687e-12 1.094074002500e-14 1.643643228445e-15 5.632691818380e-16 -7.567016745722e-17 + 1368 1.039715979118e-10 3.109431165712e-12 -8.172666401800e-12 1.093770976579e-14 1.638791597611e-15 5.633078575907e-16 -7.507945921467e-17 + 1369 1.041569608518e-10 3.085363774538e-12 -8.174419313502e-12 1.093472391187e-14 1.633957159932e-15 5.632553250623e-16 -7.448310537234e-17 + 1370 1.043418516268e-10 3.061216144785e-12 -8.174345353366e-12 1.093178065499e-14 1.629139859101e-15 5.631152272120e-16 -7.388119430527e-17 + 1371 1.045261496761e-10 3.036996670338e-12 -8.172455801384e-12 1.092887817500e-14 1.624339637912e-15 5.628912300047e-16 -7.327381498825e-17 + 1372 1.047097337478e-10 3.012713794595e-12 -8.168762038170e-12 1.092601463983e-14 1.619556438261e-15 5.625870224539e-16 -7.266105699692e-17 + 1373 1.048924818978e-10 2.988376010557e-12 -8.163275545164e-12 1.092318820545e-14 1.614790201143e-15 5.622063166646e-16 -7.204301050893e-17 + 1374 1.050742714885e-10 2.963991860918e-12 -8.156007904836e-12 1.092039701589e-14 1.610040866652e-15 5.617528478768e-16 -7.141976630507e-17 + 1375 1.052549791874e-10 2.939569938156e-12 -8.146970800893e-12 1.091763920317e-14 1.605308373976e-15 5.612303745076e-16 -7.079141577043e-17 + 1376 1.054344809659e-10 2.915118884622e-12 -8.136176018479e-12 1.091491288730e-14 1.600592661394e-15 5.606426781951e-16 -7.015805089548e-17 + 1377 1.056126520981e-10 2.890647392633e-12 -8.123635444386e-12 1.091221617625e-14 1.595893666280e-15 5.599935638407e-16 -6.951976427726e-17 + 1378 1.057893671596e-10 2.866164204559e-12 -8.109361067249e-12 1.090954716595e-14 1.591211325095e-15 5.592868596528e-16 -6.887664912051e-17 + 1379 1.059645000260e-10 2.841678112913e-12 -8.093364977760e-12 1.090690394024e-14 1.586545573385e-15 5.585264171889e-16 -6.822879923876e-17 + 1380 1.061379238719e-10 2.817197960446e-12 -8.075659368866e-12 1.090428457084e-14 1.581896345785e-15 5.577161113995e-16 -6.757630905555e-17 + 1381 1.063095111697e-10 2.792732640230e-12 -8.056256535975e-12 1.090168711736e-14 1.577263576009e-15 5.568598406705e-16 -6.691927360546e-17 + 1382 1.064791336881e-10 2.768291095756e-12 -8.035168877162e-12 1.089910962727e-14 1.572647196854e-15 5.559615268663e-16 -6.625778853536e-17 + 1383 1.066466624909e-10 2.743882321017e-12 -8.012408893371e-12 1.089655013585e-14 1.568047140195e-15 5.550251153731e-16 -6.559195010544e-17 + 1384 1.068119679360e-10 2.719515360603e-12 -7.987989188622e-12 1.089400666618e-14 1.563463336983e-15 5.540545751415e-16 -6.492185519043e-17 + 1385 1.069749196738e-10 2.695199309791e-12 -7.961922470212e-12 1.089147722915e-14 1.558895717244e-15 5.530538987296e-16 -6.424760128070e-17 + 1386 1.071353866462e-10 2.670943314632e-12 -7.934221548923e-12 1.088895982339e-14 1.554344210077e-15 5.520271023463e-16 -6.356928648338e-17 + 1387 1.072932370852e-10 2.646756572044e-12 -7.904899339223e-12 1.088645243526e-14 1.549808743650e-15 5.509782258938e-16 -6.288700952354e-17 + 1388 1.074483385118e-10 2.622648329901e-12 -7.873968859473e-12 1.088395303886e-14 1.545289245202e-15 5.499113330110e-16 -6.220086974529e-17 + 1389 1.076005577347e-10 2.598627887124e-12 -7.841443232130e-12 1.088145959596e-14 1.540785641035e-15 5.488305111163e-16 -6.151096711292e-17 + 1390 1.077497608487e-10 2.574704593772e-12 -7.807335683952e-12 1.087897005601e-14 1.536297856518e-15 5.477398714506e-16 -6.081740221207e-17 + 1391 1.078958132342e-10 2.550887851129e-12 -7.771659546201e-12 1.087648235609e-14 1.531825816079e-15 5.466435491204e-16 -6.012027625083e-17 + 1392 1.080385795552e-10 2.527187111798e-12 -7.734428254851e-12 1.087399442094e-14 1.527369443210e-15 5.455457031407e-16 -5.941969106088e-17 + 1393 1.081779237584e-10 2.503611879789e-12 -7.695655350788e-12 1.087150416285e-14 1.522928660459e-15 5.444505164779e-16 -5.871574909864e-17 + 1394 1.083137090720e-10 2.480171710609e-12 -7.655354480015e-12 1.086900948173e-14 1.518503389428e-15 5.433621960932e-16 -5.800855344642e-17 + 1395 1.084457980043e-10 2.456876211353e-12 -7.613539393859e-12 1.086650826503e-14 1.514093550778e-15 5.422849729850e-16 -5.729820781350e-17 + 1396 1.085740523425e-10 2.433735040796e-12 -7.570223949176e-12 1.086399838773e-14 1.509699064216e-15 5.412231022323e-16 -5.658481653735e-17 + 1397 1.086983331514e-10 2.410757909480e-12 -7.525422108550e-12 1.086147771232e-14 1.505319848503e-15 5.401808630378e-16 -5.586848458469e-17 + 1398 1.088185007723e-10 2.387954579805e-12 -7.479147940501e-12 1.085894408878e-14 1.500955821446e-15 5.391625587703e-16 -5.514931755266e-17 + 1399 1.089344148216e-10 2.365334866121e-12 -7.431415619691e-12 1.085639535456e-14 1.496606899898e-15 5.381725170086e-16 -5.442742166997e-17 + 1400 1.090459341896e-10 2.342908634817e-12 -7.382239427126e-12 1.085382933454e-14 1.492272999756e-15 5.372150895835e-16 -5.370290379801e-17 + 1401 1.091529170391e-10 2.320685804411e-12 -7.331633750359e-12 1.085124384102e-14 1.487954035957e-15 5.362946526215e-16 -5.297587143199e-17 + 1402 1.092552377175e-10 2.298675412047e-12 -7.279615155874e-12 1.084863681452e-14 1.483649929924e-15 5.354144208040e-16 -5.224643133687e-17 + 1403 1.093528376868e-10 2.276882802149e-12 -7.226208629460e-12 1.084600674776e-14 1.479360631977e-15 5.345728765262e-16 -5.151468543724e-17 + 1404 1.094456751218e-10 2.255312408623e-12 -7.171441401333e-12 1.084335226604e-14 1.475086099149e-15 5.337673035776e-16 -5.078073488683e-17 + 1405 1.095337080459e-10 2.233968685820e-12 -7.115340880197e-12 1.084067198682e-14 1.470826287765e-15 5.329949695160e-16 -5.004468143087e-17 + 1406 1.096168943301e-10 2.212856108575e-12 -7.057934653575e-12 1.083796451972e-14 1.466581153433e-15 5.322531256388e-16 -4.930662740716e-17 + 1407 1.096951916930e-10 2.191979172233e-12 -6.999250488140e-12 1.083522846649e-14 1.462350651048e-15 5.315390069536e-16 -4.856667574714e-17 + 1408 1.097685577010e-10 2.171342392688e-12 -6.939316330044e-12 1.083246242097e-14 1.458134734792e-15 5.308498321485e-16 -4.782492997690e-17 + 1409 1.098369497676e-10 2.150950306414e-12 -6.878160305251e-12 1.082966496914e-14 1.453933358124e-15 5.301828035630e-16 -4.708149421828e-17 + 1410 1.099003251531e-10 2.130807470499e-12 -6.815810719867e-12 1.082683468907e-14 1.449746473789e-15 5.295351071586e-16 -4.633647318988e-17 + 1411 1.099586409649e-10 2.110918462677e-12 -6.752296060469e-12 1.082397015087e-14 1.445574033807e-15 5.289039124894e-16 -4.558997220817e-17 + 1412 1.100118541570e-10 2.091287881360e-12 -6.687644994440e-12 1.082106991674e-14 1.441415989477e-15 5.282863726730e-16 -4.484209718846e-17 + 1413 1.100599215296e-10 2.071920345678e-12 -6.621886370296e-12 1.081813254094e-14 1.437272291375e-15 5.276796243607e-16 -4.409295464603e-17 + 1414 1.101027997290e-10 2.052820495504e-12 -6.555049218018e-12 1.081515656972e-14 1.433142889350e-15 5.270807877088e-16 -4.334265169717e-17 + 1415 1.101404452478e-10 2.033992991492e-12 -6.487162749382e-12 1.081214054140e-14 1.429027732524e-15 5.264869663486e-16 -4.259129606018e-17 + 1416 1.101728144239e-10 2.015442515107e-12 -6.418256358291e-12 1.080908298627e-14 1.424926769291e-15 5.258952473574e-16 -4.183899605648e-17 + 1417 1.101998634409e-10 1.997173768665e-12 -6.348359621108e-12 1.080598242662e-14 1.420839947312e-15 5.253027012290e-16 -4.108586061165e-17 + 1418 1.102215483277e-10 1.979191475357e-12 -6.277502296980e-12 1.080283737672e-14 1.416767213520e-15 5.247063818446e-16 -4.033199925646e-17 + 1419 1.102378249581e-10 1.961500379289e-12 -6.205714328176e-12 1.079964634281e-14 1.412708514109e-15 5.241033264433e-16 -3.957752212796e-17 + 1420 1.102486490509e-10 1.944105245513e-12 -6.133025840414e-12 1.079640782306e-14 1.408663794542e-15 5.234905555926e-16 -3.882253997051e-17 + 1421 1.102539761693e-10 1.927010860060e-12 -6.059467143191e-12 1.079312030760e-14 1.404632999544e-15 5.228650731594e-16 -3.806716413681e-17 + 1422 1.102537617213e-10 1.910222029974e-12 -5.985068730117e-12 1.078978227845e-14 1.400616073100e-15 5.222238662802e-16 -3.731150658902e-17 + 1423 1.102479609585e-10 1.893743583344e-12 -5.909861279244e-12 1.078639220956e-14 1.396612958456e-15 5.215639053323e-16 -3.655567989974e-17 + 1424 1.102365289770e-10 1.877580369340e-12 -5.833875653397e-12 1.078294856677e-14 1.392623598116e-15 5.208821439040e-16 -3.579979725312e-17 + 1425 1.102194207164e-10 1.861737258243e-12 -5.757142900503e-12 1.077944980779e-14 1.388647933841e-15 5.201755187655e-16 -3.504397244587e-17 + 1426 1.101965909597e-10 1.846219141481e-12 -5.679694253926e-12 1.077589438220e-14 1.384685906646e-15 5.194409498394e-16 -3.428831988835e-17 + 1427 1.101679943334e-10 1.831030931658e-12 -5.601561132793e-12 1.077228073142e-14 1.380737456801e-15 5.186753401715e-16 -3.353295460560e-17 + 1428 1.101335853070e-10 1.816177562595e-12 -5.522775142329e-12 1.076860728871e-14 1.376802523825e-15 5.178755759014e-16 -3.277799223839e-17 + 1429 1.100933181928e-10 1.801663989354e-12 -5.443368074184e-12 1.076487247916e-14 1.372881046491e-15 5.170385262330e-16 -3.202354904429e-17 + 1430 1.100471471459e-10 1.787495188278e-12 -5.363371906767e-12 1.076107471967e-14 1.368972962817e-15 5.161610434056e-16 -3.126974189872e-17 + 1431 1.099950261636e-10 1.773676157023e-12 -5.282818805575e-12 1.075721241890e-14 1.365078210071e-15 5.152399626639e-16 -3.051668829600e-17 + 1432 1.099369090857e-10 1.760211914588e-12 -5.201741123524e-12 1.075328397734e-14 1.361196724764e-15 5.142721022292e-16 -2.976450635038e-17 + 1433 1.098727495936e-10 1.747107501351e-12 -5.120171401280e-12 1.074928778721e-14 1.357328442652e-15 5.132542632699e-16 -2.901331479715e-17 + 1434 1.098025012108e-10 1.734367979104e-12 -5.038142367590e-12 1.074522223249e-14 1.353473298732e-15 5.121832298719e-16 -2.826323299363e-17 + 1435 1.097261173022e-10 1.721998431081e-12 -4.955686939612e-12 1.074108568889e-14 1.349631227243e-15 5.110557690097e-16 -2.751438092025e-17 + 1436 1.096435510740e-10 1.710003961998e-12 -4.872838223248e-12 1.073687652385e-14 1.345802161662e-15 5.098686305167e-16 -2.676687918164e-17 + 1437 1.095547555735e-10 1.698389698078e-12 -4.789629513470e-12 1.073259309652e-14 1.341986034704e-15 5.086185470561e-16 -2.602084900761e-17 + 1438 1.094596836889e-10 1.687160787094e-12 -4.706094294658e-12 1.072823375775e-14 1.338182778319e-15 5.073022340912e-16 -2.527641225425e-17 + 1439 1.093582881492e-10 1.676322398392e-12 -4.622266240924e-12 1.072379685006e-14 1.334392323690e-15 5.059163898565e-16 -2.453369140499e-17 + 1440 1.092505215237e-10 1.665879722935e-12 -4.538179216445e-12 1.071928070762e-14 1.330614601236e-15 5.044576953281e-16 -2.379280957163e-17 + 1441 1.091363514943e-10 1.655836897044e-12 -4.453865968469e-12 1.071468389556e-14 1.326849546583e-15 5.029236876296e-16 -2.305387665344e-17 + 1442 1.090158068427e-10 1.646193761646e-12 -4.369354191147e-12 1.071000593034e-14 1.323097118568e-15 5.013153900074e-16 -2.231694765871e-17 + 1443 1.088889319294e-10 1.636949070203e-12 -4.284670422408e-12 1.070524656664e-14 1.319357281419e-15 4.996347084890e-16 -2.158206396231e-17 + 1444 1.087557714647e-10 1.628101561987e-12 -4.199841347917e-12 1.070040555874e-14 1.315629998789e-15 4.978835608913e-16 -2.084926710951e-17 + 1445 1.086163705088e-10 1.619649962044e-12 -4.114893801329e-12 1.069548266051e-14 1.311915233755e-15 4.960638768415e-16 -2.011859881620e-17 + 1446 1.084707744729e-10 1.611592981170e-12 -4.029854764546e-12 1.069047762542e-14 1.308212948819e-15 4.941775977981e-16 -1.939010096919e-17 + 1447 1.083190291197e-10 1.603929315881e-12 -3.944751367972e-12 1.068539020655e-14 1.304523105901e-15 4.922266770720e-16 -1.866381562645e-17 + 1448 1.081611805640e-10 1.596657648384e-12 -3.859610890766e-12 1.068022015656e-14 1.300845666346e-15 4.902130798478e-16 -1.793978501734e-17 + 1449 1.079972752736e-10 1.589776646547e-12 -3.774460761102e-12 1.067496722772e-14 1.297180590916e-15 4.881387832046e-16 -1.721805154290e-17 + 1450 1.078273600697e-10 1.583284963870e-12 -3.689328556418e-12 1.066963117189e-14 1.293527839791e-15 4.860057761375e-16 -1.649865777607e-17 + 1451 1.076514821277e-10 1.577181239459e-12 -3.604242003677e-12 1.066421174053e-14 1.289887372570e-15 4.838160595781e-16 -1.578164646198e-17 + 1452 1.074696889778e-10 1.571464097995e-12 -3.519228979619e-12 1.065870868469e-14 1.286259148264e-15 4.815716464164e-16 -1.506706051817e-17 + 1453 1.072820285058e-10 1.566132149705e-12 -3.434317511018e-12 1.065312175503e-14 1.282643125302e-15 4.792745615210e-16 -1.435494303486e-17 + 1454 1.070885489535e-10 1.561183990332e-12 -3.349535774935e-12 1.064745070179e-14 1.279039261525e-15 4.769268417609e-16 -1.364533727520e-17 + 1455 1.068892989195e-10 1.556618201110e-12 -3.264912098977e-12 1.064169527482e-14 1.275447514183e-15 4.745305360263e-16 -1.293828667553e-17 + 1456 1.066843273601e-10 1.552433348731e-12 -3.180474961547e-12 1.063585522355e-14 1.271867839941e-15 4.720877052496e-16 -1.223383484562e-17 + 1457 1.064736835896e-10 1.548627985317e-12 -3.096252992106e-12 1.062993029701e-14 1.268300194869e-15 4.696004224267e-16 -1.153202556895e-17 + 1458 1.062574172811e-10 1.545200648394e-12 -3.012274971423e-12 1.062392024384e-14 1.264744534449e-15 4.670707726381e-16 -1.083290280292e-17 + 1459 1.060355784672e-10 1.542149860861e-12 -2.928569831831e-12 1.061782481225e-14 1.261200813568e-15 4.645008530698e-16 -1.013651067917e-17 + 1460 1.058082175406e-10 1.539474130957e-12 -2.845166657484e-12 1.061164375005e-14 1.257668986516e-15 4.618927730346e-16 -9.442893503750e-18 + 1461 1.055753852548e-10 1.537171952242e-12 -2.762094684612e-12 1.060537680465e-14 1.254149006992e-15 4.592486539929e-16 -8.752095757451e-18 + 1462 1.053371327248e-10 1.535241803559e-12 -2.679383301776e-12 1.059902372306e-14 1.250640828094e-15 4.565706295743e-16 -8.064162096012e-18 + 1463 1.050935114277e-10 1.533682149007e-12 -2.597062050122e-12 1.059258425186e-14 1.247144402324e-15 4.538608455982e-16 -7.379137350390e-18 + 1464 1.048445732033e-10 1.532491437918e-12 -2.515160623639e-12 1.058605813725e-14 1.243659681584e-15 4.511214600951e-16 -6.697066527014e-18 + 1465 1.045903702549e-10 1.531668104819e-12 -2.433708869411e-12 1.057944512500e-14 1.240186617173e-15 4.483546433277e-16 -6.017994808035e-18 + 1466 1.043309551500e-10 1.531210569410e-12 -2.352736787876e-12 1.057274496048e-14 1.236725159792e-15 4.455625778121e-16 -5.341967551581e-18 + 1467 1.040663808207e-10 1.531117236533e-12 -2.272274533076e-12 1.056595738865e-14 1.233275259535e-15 4.427474583385e-16 -4.669030292012e-18 + 1468 1.037967005646e-10 1.531386496142e-12 -2.192352412919e-12 1.055908215406e-14 1.229836865893e-15 4.399114919929e-16 -3.999228740173e-18 + 1469 1.035219680455e-10 1.532016723277e-12 -2.113000889430e-12 1.055211900086e-14 1.226409927751e-15 4.370568981776e-16 -3.332608783648e-18 + 1470 1.032422372938e-10 1.533006278029e-12 -2.034250579005e-12 1.054506767278e-14 1.222994393388e-15 4.341859086327e-16 -2.669216487014e-18 + 1471 1.029575627074e-10 1.534353505521e-12 -1.956132252672e-12 1.053792791315e-14 1.219590210471e-15 4.313007674571e-16 -2.009098092093e-18 + 1472 1.026679990522e-10 1.536056735868e-12 -1.878676836339e-12 1.053069946488e-14 1.216197326061e-15 4.284037311294e-16 -1.352300018209e-18 + 1473 1.023736014630e-10 1.538114284157e-12 -1.801915411057e-12 1.052338207047e-14 1.212815686606e-15 4.254970685292e-16 -6.988688624408e-19 + 1474 1.020744254438e-10 1.540524450413e-12 -1.725879213267e-12 1.051597547202e-14 1.209445237944e-15 4.225830609582e-16 -4.885139987345e-20 + 1475 1.017705268689e-10 1.543285519572e-12 -1.650599635063e-12 1.050847941120e-14 1.206085925296e-15 4.196640021612e-16 5.977054161452e-19 + 1476 1.014619619831e-10 1.546395761453e-12 -1.576108224443e-12 1.050089362929e-14 1.202737693272e-15 4.167421983472e-16 1.240754453752e-18 + 1477 1.011487874026e-10 1.549853430725e-12 -1.502436685563e-12 1.049321786714e-14 1.199400485864e-15 4.138199682106e-16 1.880248402313e-18 + 1478 1.008310601160e-10 1.553656766885e-12 -1.429616878999e-12 1.048545186521e-14 1.196074246447e-15 4.108996429522e-16 2.516139772172e-18 + 1479 1.005088374842e-10 1.557803994222e-12 -1.357680821992e-12 1.047759536353e-14 1.192758917777e-15 4.079835663003e-16 3.148380894396e-18 + 1480 1.001821829949e-10 1.562292714019e-12 -1.286657231043e-12 1.046964829312e-14 1.189454446813e-15 4.050737666150e-16 3.776924805524e-18 + 1481 9.985118358480e-11 1.567118074633e-12 -1.216561111765e-12 1.046161135234e-14 1.186160799226e-15 4.021709696137e-16 4.401727911893e-18 + 1482 9.951593248978e-11 1.572274583270e-12 -1.147404066655e-12 1.045348543622e-14 1.182877945031e-15 3.992755759311e-16 5.022747351137e-18 + 1483 9.917652350806e-11 1.577756712060e-12 -1.079197743497e-12 1.044527144560e-14 1.179605853775e-15 3.963879881533e-16 5.639940109368e-18 + 1484 9.883305100125e-11 1.583558897992e-12 -1.011953835427e-12 1.043697028717e-14 1.176344494537e-15 3.935086108211e-16 6.253263020973e-18 + 1485 9.848560989530e-11 1.589675542850e-12 -9.456840810001e-13 1.042858287340e-14 1.173093835929e-15 3.906378504335e-16 6.862672768405e-18 + 1486 9.813429568151e-11 1.596101013155e-12 -8.804002642539e-13 1.042011012264e-14 1.169853846091e-15 3.877761154503e-16 7.468125881977e-18 + 1487 9.777920441749e-11 1.602829640100e-12 -8.161142147773e-13 1.041155295907e-14 1.166624492694e-15 3.849238162956e-16 8.069578739662e-18 + 1488 9.742043272812e-11 1.609855719488e-12 -7.528378077749e-13 1.040291231273e-14 1.163405742935e-15 3.820813653609e-16 8.666987566882e-18 + 1489 9.705807780656e-11 1.617173511671e-12 -6.905829641336e-13 1.039418911954e-14 1.160197563539e-15 3.792491770080e-16 9.260308436307e-18 + 1490 9.669223741519e-11 1.624777241489e-12 -6.293616504885e-13 1.038538432129e-14 1.156999920759e-15 3.764276675725e-16 9.849497267644e-18 + 1491 9.632300988664e-11 1.632661098203e-12 -5.691858792887e-13 1.037649886568e-14 1.153812780371e-15 3.736172553667e-16 1.043450982744e-17 + 1492 9.595049412470e-11 1.640819235438e-12 -5.100677088634e-13 1.036753370627e-14 1.150636107676e-15 3.708183606828e-16 1.101530172887e-17 + 1493 9.557478960537e-11 1.649245771118e-12 -4.520192434879e-13 1.035848980258e-14 1.147469867497e-15 3.680314057960e-16 1.159182843152e-17 + 1494 9.519599637776e-11 1.657934787405e-12 -3.950526334496e-13 1.034936812001e-14 1.144314024182e-15 3.652568149679e-16 1.216404524123e-17 + 1495 9.481421506515e-11 1.666880330636e-12 -3.391800751142e-13 1.034016962991e-14 1.141168541597e-15 3.624950144492e-16 1.273190730982e-17 + 1496 9.442954686590e-11 1.676076411262e-12 -2.844138109911e-13 1.033089530958e-14 1.138033383130e-15 3.597464324832e-16 1.329536963492e-17 + 1497 9.404209355446e-11 1.685517003784e-12 -2.307661297999e-13 1.032154614225e-14 1.134908511687e-15 3.570114993088e-16 1.385438705978e-17 + 1498 9.365195748234e-11 1.695196046694e-12 -1.782493665365e-13 1.031212311712e-14 1.131793889694e-15 3.542906471636e-16 1.440891427305e-17 + 1499 9.325924157909e-11 1.705107442408e-12 -1.268759025385e-13 1.030262722937e-14 1.128689479092e-15 3.515843102873e-16 1.495890580855e-17 + 1500 9.286404935326e-11 1.715245057209e-12 -7.665816555177e-14 1.029305948014e-14 1.125595241340e-15 3.488929249245e-16 1.550431604509e-17 + 1501 9.246648489343e-11 1.725602721181e-12 -2.760862979602e-14 1.028342087660e-14 1.122511137410e-15 3.462169293281e-16 1.604509920630e-17 + 1502 9.206665286911e-11 1.736174228150e-12 2.026018396890e-14 1.027371243187e-14 1.119437127792e-15 3.435567637620e-16 1.658120936032e-17 + 1503 9.166465853178e-11 1.746953335617e-12 6.693570837716e-14 1.026393516514e-14 1.116373172484e-15 3.409128705051e-16 1.711260041973e-17 + 1504 9.126060771584e-11 1.757933764703e-12 1.124053293910e-13 1.025409010157e-14 1.113319231000e-15 3.382856938536e-16 1.763922614122e-17 + 1505 9.085460683960e-11 1.769109200079e-12 1.566563862345e-13 1.024417827238e-14 1.110275262365e-15 3.356756801244e-16 1.816104012547e-17 + 1506 9.044676290623e-11 1.780473289911e-12 1.996761713279e-13 1.023420071483e-14 1.107241225112e-15 3.330832776586e-16 1.867799581690e-17 + 1507 9.003718350479e-11 1.792019645792e-12 2.414519302216e-13 1.022415847224e-14 1.104217077285e-15 3.305089368241e-16 1.919004650349e-17 + 1508 8.962597681114e-11 1.803741842683e-12 2.819708615297e-13 1.021405259397e-14 1.101202776435e-15 3.279531100190e-16 1.969714531657e-17 + 1509 8.921325158897e-11 1.815633418851e-12 3.212201168646e-13 1.020388413548e-14 1.098198279621e-15 3.254162516750e-16 2.019924523058e-17 + 1510 8.879911719076e-11 1.827687875806e-12 3.591868007708e-13 1.019365415829e-14 1.095203543408e-15 3.228988182600e-16 2.069629906292e-17 + 1511 8.838368355877e-11 1.839898678236e-12 3.958579706587e-13 1.018336373002e-14 1.092218523866e-15 3.204012682816e-16 2.118825947371e-17 + 1512 8.796706122597e-11 1.852259253952e-12 4.312206367388e-13 1.017301392441e-14 1.089243176570e-15 3.179240622902e-16 2.167507896558e-17 + 1513 8.754936131709e-11 1.864762993818e-12 4.652617619559e-13 1.016260582129e-14 1.086277456597e-15 3.154676628821e-16 2.215670988350e-17 + 1514 8.713069554953e-11 1.877403251694e-12 4.979682619226e-13 1.015214050663e-14 1.083321318527e-15 3.130325347025e-16 2.263310441453e-17 + 1515 8.671117623439e-11 1.890173344371e-12 5.293270048538e-13 1.014161907253e-14 1.080374716439e-15 3.106191444491e-16 2.310421458766e-17 + 1516 8.629091627742e-11 1.903066551513e-12 5.593248115004e-13 1.013104261723e-14 1.077437603917e-15 3.082279608747e-16 2.356999227354e-17 + 1517 8.587002917998e-11 1.916076115587e-12 5.879484550837e-13 1.012041224513e-14 1.074509934039e-15 3.058594547906e-16 2.403038918437e-17 + 1518 8.544862904007e-11 1.929195241810e-12 6.151846612288e-13 1.010972906680e-14 1.071591659385e-15 3.035140990697e-16 2.448535687359e-17 + 1519 8.502682532013e-11 1.942417228947e-12 6.410235300661e-13 1.009899424398e-14 1.068682735938e-15 3.011921131966e-16 2.493485408001e-17 + 1520 8.460470709353e-11 1.955735863228e-12 6.654688387133e-13 1.008820912519e-14 1.065783134855e-15 2.988926942202e-16 2.537886883772e-17 + 1521 8.418235864834e-11 1.969145028103e-12 6.885278378689e-13 1.007737511147e-14 1.062892830811e-15 2.966147784017e-16 2.581739657863e-17 + 1522 8.375986470739e-11 1.982638573665e-12 7.102078387604e-13 1.006649361147e-14 1.060011798099e-15 2.943572959856e-16 2.625043280775e-17 + 1523 8.333731042903e-11 1.996210316591e-12 7.305162132561e-13 1.005556604152e-14 1.057140010627e-15 2.921191711897e-16 2.667797310334e-17 + 1524 8.291478140774e-11 2.009854040091e-12 7.494603939765e-13 1.004459382556e-14 1.054277441922e-15 2.898993221948e-16 2.710001311709e-17 + 1525 8.249236367494e-11 2.023563493851e-12 7.670478744065e-13 1.003357839524e-14 1.051424065126e-15 2.876966611348e-16 2.751654857429e-17 + 1526 8.207014369960e-11 2.037332393976e-12 7.832862090074e-13 1.002252118986e-14 1.048579852993e-15 2.855100940862e-16 2.792757527404e-17 + 1527 8.164820838902e-11 2.051154422936e-12 7.981830133286e-13 1.001142365644e-14 1.045744777896e-15 2.833385210583e-16 2.833308908937e-17 + 1528 8.122664508950e-11 2.065023229514e-12 8.117459641194e-13 1.000028724968e-14 1.042918811817e-15 2.811808359829e-16 2.873308596747e-17 + 1529 8.080554158704e-11 2.078932428742e-12 8.239827994409e-13 9.989113432032e-15 1.040101926352e-15 2.790359267043e-16 2.912756192984e-17 + 1530 8.038498610808e-11 2.092875601856e-12 8.349013187780e-13 9.977903673644e-15 1.037294092710e-15 2.769026749691e-16 2.951651307246e-17 + 1531 7.996506732015e-11 2.106846296232e-12 8.445093831513e-13 9.966659452429e-15 1.034495281707e-15 2.747799564158e-16 2.989993556598e-17 + 1532 7.954587433263e-11 2.120838025336e-12 8.528149152288e-13 9.955382254049e-15 1.031705463774e-15 2.726666405651e-16 3.027782565591e-17 + 1533 7.912749669744e-11 2.134844268666e-12 8.598258994377e-13 9.944073571936e-15 1.028924608947e-15 2.705615908096e-16 3.065017966275e-17 + 1534 7.871002440971e-11 2.148858471700e-12 8.655503820765e-13 9.932734907305e-15 1.026152686873e-15 2.684636644035e-16 3.101699398222e-17 + 1535 7.829354790855e-11 2.162874045834e-12 8.699964714269e-13 9.921367769160e-15 1.023389666805e-15 2.663717124528e-16 3.137826508540e-17 + 1536 7.787815807768e-11 2.176884368334e-12 8.731723378653e-13 9.909973674316e-15 1.020635517604e-15 2.642845799048e-16 3.173398951892e-17 + 1537 7.746394624621e-11 2.190882782276e-12 8.750862139752e-13 9.898554147405e-15 1.017890207737e-15 2.622011055381e-16 3.208416390514e-17 + 1538 7.705100418929e-11 2.204862596493e-12 8.757463946587e-13 9.887110720888e-15 1.015153705275e-15 2.601201219528e-16 3.242878494231e-17 + 1539 7.663942412884e-11 2.218817085517e-12 8.751612372482e-13 9.875644935073e-15 1.012425977896e-15 2.580404555597e-16 3.276784940477e-17 + 1540 7.622929873426e-11 2.232739489528e-12 8.733391616190e-13 9.864158338122e-15 1.009706992878e-15 2.559609265707e-16 3.310135414310e-17 + 1541 7.582072112312e-11 2.246623014294e-12 8.702886503003e-13 9.852652486066e-15 1.006996717105e-15 2.538803489887e-16 3.342929608432e-17 + 1542 7.541378486186e-11 2.260460831117e-12 8.660182485876e-13 9.841128942817e-15 1.004295117062e-15 2.517975305969e-16 3.375167223204e-17 + 1543 7.500858396654e-11 2.274246076780e-12 8.605365646546e-13 9.829589280183e-15 1.001602158835e-15 2.497112729492e-16 3.406847966669e-17 + 1544 7.460521290347e-11 2.287971853490e-12 8.538522696647e-13 9.818035077873e-15 9.989178081115e-16 2.476203713600e-16 3.437971554561e-17 + 1545 7.420376659000e-11 2.301631228821e-12 8.459740978832e-13 9.806467923520e-15 9.962420301768e-16 2.455236148939e-16 3.468537710332e-17 + 1546 7.380434039516e-11 2.315217235660e-12 8.369108467890e-13 9.794889412686e-15 9.935747899166e-16 2.434197863555e-16 3.498546165161e-17 + 1547 7.340703014040e-11 2.328722872155e-12 8.266713771866e-13 9.783301148875e-15 9.909160518143e-16 2.413076622796e-16 3.527996657979e-17 + 1548 7.301193210028e-11 2.342141101652e-12 8.152646133179e-13 9.771704743550e-15 9.882657799505e-16 2.391860129207e-16 3.556888935482e-17 + 1549 7.261914300318e-11 2.355464852646e-12 8.026995429740e-13 9.760101816140e-15 9.856239380025e-16 2.370536022431e-16 3.585222752150e-17 + 1550 7.222876003200e-11 2.368687018726e-12 7.889852176071e-13 9.748493994057e-15 9.829904892431e-16 2.349091879107e-16 3.612997870265e-17 + 1551 7.184088082490e-11 2.381800458513e-12 7.741307524425e-13 9.736882912707e-15 9.803653965401e-16 2.327515212768e-16 3.640214059929e-17 + 1552 7.145560347593e-11 2.394797995612e-12 7.581453265903e-13 9.725270215499e-15 9.777486223554e-16 2.305793473742e-16 3.666871099080e-17 + 1553 7.107302653583e-11 2.407672418554e-12 7.410381831576e-13 9.713657553864e-15 9.751401287441e-16 2.283914049047e-16 3.692968773510e-17 + 1554 7.069324901265e-11 2.420416480737e-12 7.228186293598e-13 9.702046587264e-15 9.725398773540e-16 2.261864262292e-16 3.718506876884e-17 + 1555 7.031637037253e-11 2.433022900377e-12 7.034960366329e-13 9.690438983201e-15 9.699478294245e-16 2.239631373577e-16 3.743485210758e-17 + 1556 6.994249054033e-11 2.445484360448e-12 6.830798407454e-13 9.678836417237e-15 9.673639457860e-16 2.217202579386e-16 3.767903584593e-17 + 1557 6.957170990040e-11 2.457793508630e-12 6.615795419098e-13 9.667240573001e-15 9.647881868590e-16 2.194565012494e-16 3.791761815777e-17 + 1558 6.920411792854e-11 2.469943643246e-12 6.390062544091e-13 9.655653038122e-15 9.622205158433e-16 2.171709999133e-16 3.815059964726e-17 + 1559 6.883975896983e-11 2.481930778251e-12 6.153773711634e-13 9.644074990928e-15 9.596609083203e-16 2.148645874435e-16 3.837799042573e-17 + 1560 6.847866614091e-11 2.493751597522e-12 5.907119431817e-13 9.632507510832e-15 9.571093427394e-16 2.125385287116e-16 3.859980310158e-17 + 1561 6.812087266966e-11 2.505402770601e-12 5.650291342106e-13 9.620951682148e-15 9.545657972354e-16 2.101940953229e-16 3.881605043576e-17 + 1562 6.776641189533e-11 2.516880952676e-12 5.383482209222e-13 9.609408594107e-15 9.520302496278e-16 2.078325656271e-16 3.902674534208e-17 + 1563 6.741531726872e-11 2.528182784554e-12 5.106885931034e-13 9.597879340856e-15 9.495026774205e-16 2.054552247295e-16 3.923190088746e-17 + 1564 6.706762235231e-11 2.539304892644e-12 4.820697538435e-13 9.586365021470e-15 9.469830578007e-16 2.030633645019e-16 3.943153029223e-17 + 1565 6.672336082039e-11 2.550243888932e-12 4.525113197228e-13 9.574866739959e-15 9.444713676385e-16 2.006582835931e-16 3.962564693047e-17 + 1566 6.638256645921e-11 2.560996370964e-12 4.220330210017e-13 9.563385605272e-15 9.419675834865e-16 1.982412874403e-16 3.981426433025e-17 + 1567 6.604527316713e-11 2.571558921822e-12 3.906547018080e-13 9.551922731309e-15 9.394716815788e-16 1.958136882798e-16 3.999739617393e-17 + 1568 6.571151495477e-11 2.581928110099e-12 3.583963203263e-13 9.540479236927e-15 9.369836378303e-16 1.933768051577e-16 4.017505629848e-17 + 1569 6.538132594514e-11 2.592100489886e-12 3.252779489860e-13 9.529056245945e-15 9.345034278364e-16 1.909319639410e-16 4.034725869575e-17 + 1570 6.505474037377e-11 2.602072600742e-12 2.913197746497e-13 9.517654887153e-15 9.320310268722e-16 1.884804973288e-16 4.051401751278e-17 + 1571 6.473179258890e-11 2.611840967679e-12 2.565420988016e-13 9.506276294321e-15 9.295664098919e-16 1.860237448624e-16 4.067534705205e-17 + 1572 6.441251705158e-11 2.621402101134e-12 2.209653377363e-13 9.494921606203e-15 9.271095515280e-16 1.835630529370e-16 4.083126177184e-17 + 1573 6.409694833584e-11 2.630752496954e-12 1.846100227465e-13 9.483591966547e-15 9.246604260909e-16 1.810997748122e-16 4.098177628645e-17 + 1574 6.378512112881e-11 2.639888636372e-12 1.474968003124e-13 9.472288524101e-15 9.222190075681e-16 1.786352706228e-16 4.112690536656e-17 + 1575 6.347707023089e-11 2.648806985984e-12 1.096464322891e-13 9.461012432620e-15 9.197852696235e-16 1.761709073902e-16 4.126666393948e-17 + 1576 6.317283055587e-11 2.657503997729e-12 7.107979609582e-14 9.449764850876e-15 9.173591855972e-16 1.737080590327e-16 4.140106708943e-17 + 1577 6.287243713110e-11 2.665976108866e-12 3.181788490389e-14 9.438546942663e-15 9.149407285041e-16 1.712481063768e-16 4.153013005789e-17 + 1578 6.257592509760e-11 2.674219741958e-12 -8.118192174662e-15 9.427359876803e-15 9.125298710340e-16 1.687924371679e-16 4.165386824383e-17 + 1579 6.228332971024e-11 2.682231304842e-12 -4.870720989875e-14 9.416204827157e-15 9.101265855506e-16 1.663424460812e-16 4.177229720406e-17 + 1580 6.199468633785e-11 2.690007190613e-12 -8.992782670977e-14 9.405082972631e-15 9.077308440908e-16 1.638995347329e-16 4.188543265347e-17 + 1581 6.171003046340e-11 2.697543777604e-12 -1.317585845432e-13 9.393995497182e-15 9.053426183642e-16 1.614651116906e-16 4.199329046534e-17 + 1582 6.142939768411e-11 2.704837429358e-12 -1.741779086401e-13 9.382943589825e-15 9.029618797527e-16 1.590405924846e-16 4.209588667166e-17 + 1583 6.115282371160e-11 2.711884494614e-12 -2.171641073588e-13 9.371928444644e-15 9.005885993092e-16 1.566273996187e-16 4.219323746338e-17 + 1584 6.088034437207e-11 2.718681307279e-12 -2.606953719866e-13 9.360951260795e-15 8.982227477577e-16 1.542269625810e-16 4.228535919075e-17 + 1585 6.061199560638e-11 2.725224186412e-12 -3.047497765507e-13 9.350013242518e-15 8.958642954922e-16 1.518407178547e-16 4.237226836354e-17 + 1586 6.034781347026e-11 2.731509436199e-12 -3.493052776308e-13 9.339115599138e-15 8.935132125760e-16 1.494701089295e-16 4.245398165143e-17 + 1587 6.008783413441e-11 2.737533345933e-12 -3.943397141698e-13 9.328259545079e-15 8.911694687415e-16 1.471165863120e-16 4.253051588422e-17 + 1588 5.983209388465e-11 2.743292189991e-12 -4.398308072858e-13 9.317446299868e-15 8.888330333893e-16 1.447816075365e-16 4.260188805215e-17 + 1589 5.958062912208e-11 2.748782227816e-12 -4.857561600836e-13 9.306677088141e-15 8.865038755875e-16 1.424666371766e-16 4.266811530620e-17 + 1590 5.933347636321e-11 2.753999703890e-12 -5.320932574660e-13 9.295953139654e-15 8.841819640710e-16 1.401731468554e-16 4.272921495839e-17 + 1591 5.909067224011e-11 2.758940847718e-12 -5.788194659461e-13 9.285275689288e-15 8.818672672413e-16 1.379026152566e-16 4.278520448205e-17 + 1592 5.885225350055e-11 2.763601873804e-12 -6.259120334581e-13 9.274645977056e-15 8.795597531652e-16 1.356565281356e-16 4.283610151211e-17 + 1593 5.861825700815e-11 2.767978981629e-12 -6.733480891691e-13 9.264065248112e-15 8.772593895749e-16 1.334363783301e-16 4.288192384544e-17 + 1594 5.838871974253e-11 2.772068355631e-12 -7.211046432910e-13 9.253534752758e-15 8.749661438666e-16 1.312436657714e-16 4.292268944106e-17 + 1595 5.816367879940e-11 2.775866165182e-12 -7.691585868917e-13 9.243055746450e-15 8.726799831005e-16 1.290798974948e-16 4.295841642053e-17 + 1596 5.794317139081e-11 2.779368564569e-12 -8.174866917069e-13 9.232629489805e-15 8.704008739998e-16 1.269465876508e-16 4.298912306815e-17 + 1597 5.772722442936e-11 2.782572487364e-12 -8.660664297791e-13 9.222257074626e-15 8.681287855699e-16 1.248449268720e-16 4.301482970038e-17 + 1598 5.751582317659e-11 2.785478037547e-12 -9.148784409661e-13 9.211938900195e-15 8.658636969828e-16 1.227747870392e-16 4.303556429197e-17 + 1599 5.730894230774e-11 2.788086120246e-12 -9.639040876610e-13 9.201675192196e-15 8.636055897638e-16 1.207357074204e-16 4.305135690195e-17 + 1600 5.710655630116e-11 2.790397649345e-12 -1.013124636866e-12 9.191466176262e-15 8.613544451776e-16 1.187272244825e-16 4.306223780959e-17 + 1601 5.690863943793e-11 2.792413547500e-12 -1.062521260041e-12 9.181312077977e-15 8.591102442277e-16 1.167488718868e-16 4.306823751478e-17 + 1602 5.671516580159e-11 2.794134746156e-12 -1.112075032958e-12 9.171213122874e-15 8.568729676562e-16 1.148001804842e-16 4.306938673843e-17 + 1603 5.652610927770e-11 2.795562185560e-12 -1.161766935545e-12 9.161169536434e-15 8.546425959430e-16 1.128806783110e-16 4.306571642287e-17 + 1604 5.634144355357e-11 2.796696814782e-12 -1.211577851743e-12 9.151181544087e-15 8.524191093055e-16 1.109898905836e-16 4.305725773215e-17 + 1605 5.616114211787e-11 2.797539591726e-12 -1.261488569349e-12 9.141249371207e-15 8.502024876979e-16 1.091273396943e-16 4.304404205253e-17 + 1606 5.598517826032e-11 2.798091483146e-12 -1.311479779874e-12 9.131373243115e-15 8.479927108107e-16 1.072925452065e-16 4.302610099277e-17 + 1607 5.581352507130e-11 2.798353464667e-12 -1.361532078384e-12 9.121553385079e-15 8.457897580705e-16 1.054850238502e-16 4.300346638455e-17 + 1608 5.564615544153e-11 2.798326520796e-12 -1.411625963360e-12 9.111790022308e-15 8.435936086389e-16 1.037042895171e-16 4.297617028286e-17 + 1609 5.548304206174e-11 2.798011644938e-12 -1.461741836539e-12 9.102083379957e-15 8.414042414127e-16 1.019498532562e-16 4.294424496635e-17 + 1610 5.532415742228e-11 2.797409839415e-12 -1.511860002771e-12 9.092433683121e-15 8.392216350226e-16 1.002212232688e-16 4.290772293774e-17 + 1611 5.516947381282e-11 2.796522115479e-12 -1.561960669865e-12 9.082841156839e-15 8.370457678335e-16 9.851790490440e-17 4.286663692416e-17 + 1612 5.501896332198e-11 2.795349493329e-12 -1.612023948441e-12 9.073306026090e-15 8.348766179432e-16 9.683940065552e-17 4.282101987758e-17 + 1613 5.487259783697e-11 2.793893002128e-12 -1.662029851780e-12 9.063828515793e-15 8.327141631825e-16 9.518521015333e-17 4.277090497517e-17 + 1614 5.473034904329e-11 2.792153680016e-12 -1.711958295672e-12 9.054408850807e-15 8.305583811144e-16 9.355483016296e-17 4.271632561966e-17 + 1615 5.459218842433e-11 2.790132574129e-12 -1.761789098272e-12 9.045047255927e-15 8.284092490335e-16 9.194775457881e-17 4.265731543975e-17 + 1616 5.445808726106e-11 2.787830740613e-12 -1.811501979941e-12 9.035743955889e-15 8.262667439659e-16 9.036347441994e-17 4.259390829048e-17 + 1617 5.432801663167e-11 2.785249244641e-12 -1.861076563104e-12 9.026499175363e-15 8.241308426681e-16 8.880147782537e-17 4.252613825359e-17 + 1618 5.420194741123e-11 2.782389160427e-12 -1.910492372097e-12 9.017313138956e-15 8.220015216268e-16 8.726125004951e-17 4.245403963794e-17 + 1619 5.407985027135e-11 2.779251571243e-12 -1.959728833017e-12 9.008186071212e-15 8.198787570587e-16 8.574227345744e-17 4.237764697987e-17 + 1620 5.396169567980e-11 2.775837569437e-12 -2.008765273574e-12 8.999118196605e-15 8.177625249093e-16 8.424402752029e-17 4.229699504355e-17 + 1621 5.384745390023e-11 2.772148256444e-12 -2.057580922936e-12 8.990109739547e-15 8.156528008528e-16 8.276598881060e-17 4.221211882142e-17 + 1622 5.373709499174e-11 2.768184742809e-12 -2.106154911587e-12 8.981160924379e-15 8.135495602917e-16 8.130763099765e-17 4.212305353453e-17 + 1623 5.363058880861e-11 2.763948148194e-12 -2.154466271171e-12 8.972271975377e-15 8.114527783559e-16 7.986842484282e-17 4.202983463294e-17 + 1624 5.352790499990e-11 2.759439601402e-12 -2.202493934343e-12 8.963443116744e-15 8.093624299026e-16 7.844783819496e-17 4.193249779607e-17 + 1625 5.342901300914e-11 2.754660240387e-12 -2.250216734622e-12 8.954674572618e-15 8.072784895154e-16 7.704533598571e-17 4.183107893311e-17 + 1626 5.333388207397e-11 2.749611212274e-12 -2.297613406239e-12 8.945966567063e-15 8.052009315039e-16 7.566038022488e-17 4.172561418341e-17 + 1627 5.324248122578e-11 2.744293673372e-12 -2.344662583986e-12 8.937319324072e-15 8.031297299036e-16 7.429242999578e-17 4.161613991682e-17 + 1628 5.315477928938e-11 2.738708789193e-12 -2.391342803070e-12 8.928733067567e-15 8.010648584746e-16 7.294094145056e-17 4.150269273410e-17 + 1629 5.307074488267e-11 2.732857734463e-12 -2.437632498958e-12 8.920208021395e-15 7.990062907018e-16 7.160536780562e-17 4.138530946730e-17 + 1630 5.299034641627e-11 2.726741693144e-12 -2.483510007231e-12 8.911744409331e-15 7.969539997940e-16 7.028515933690e-17 4.126402718010e-17 + 1631 5.291355209315e-11 2.720361858444e-12 -2.528953563433e-12 8.903342455074e-15 7.949079586835e-16 6.897976337524e-17 4.113888316828e-17 + 1632 5.284032990836e-11 2.713719432838e-12 -2.573941302922e-12 8.895002382247e-15 7.928681400256e-16 6.768862430176e-17 4.100991496000e-17 + 1633 5.277064764860e-11 2.706815628079e-12 -2.618451260716e-12 8.886724414398e-15 7.908345161980e-16 6.641118354321e-17 4.087716031623e-17 + 1634 5.270447289193e-11 2.699651665218e-12 -2.662461371351e-12 8.878508774996e-15 7.888070593004e-16 6.514687956728e-17 4.074065723114e-17 + 1635 5.264177300741e-11 2.692228774618e-12 -2.705949468722e-12 8.870355687434e-15 7.867857411538e-16 6.389514787800e-17 4.060044393245e-17 + 1636 5.258251097551e-11 2.684548649054e-12 -2.748895622793e-12 8.862265237787e-15 7.847705354672e-16 6.265549143536e-17 4.045655823446e-17 + 1637 5.252663280922e-11 2.676614807404e-12 -2.791289172847e-12 8.854236961761e-15 7.827614243586e-16 6.142769261237e-17 4.030903558993e-17 + 1638 5.247408001976e-11 2.668431243188e-12 -2.833121756834e-12 8.846270254048e-15 7.807583918911e-16 6.021160312422e-17 4.015791102152e-17 + 1639 5.242479378512e-11 2.660001972621e-12 -2.874384980175e-12 8.838364505227e-15 7.787614219110e-16 5.900707377445e-17 4.000321976795e-17 + 1640 5.237871494944e-11 2.651331034651e-12 -2.915070415719e-12 8.830519101751e-15 7.767704980470e-16 5.781395445350e-17 3.984499728434e-17 + 1641 5.233578402257e-11 2.642422490997e-12 -2.955169603699e-12 8.822733425943e-15 7.747856037104e-16 5.663209413720e-17 3.968327924257e-17 + 1642 5.229594117946e-11 2.633280426186e-12 -2.994674051684e-12 8.815006855989e-15 7.728067220940e-16 5.546134088528e-17 3.951810153160e-17 + 1643 5.225912625967e-11 2.623908947584e-12 -3.033575234539e-12 8.807338765930e-15 7.708338361722e-16 5.430154183990e-17 3.934950025789e-17 + 1644 5.222527876683e-11 2.614312185438e-12 -3.071864594374e-12 8.799728525656e-15 7.688669287003e-16 5.315254322411e-17 3.917751174567e-17 + 1645 5.219433786810e-11 2.604494292908e-12 -3.109533540501e-12 8.792175500899e-15 7.669059822142e-16 5.201419034038e-17 3.900217253736e-17 + 1646 5.216624239364e-11 2.594459446106e-12 -3.146573449392e-12 8.784679053225e-15 7.649509790299e-16 5.088632756913e-17 3.882351939385e-17 + 1647 5.214093083606e-11 2.584211844131e-12 -3.182975664629e-12 8.777238540028e-15 7.630019012431e-16 4.976879836719e-17 3.864158929494e-17 + 1648 5.211834134994e-11 2.573755709104e-12 -3.218731496861e-12 8.769853314523e-15 7.610587307289e-16 4.866144526637e-17 3.845641943962e-17 + 1649 5.209841175122e-11 2.563095286207e-12 -3.253832223759e-12 8.762522725738e-15 7.591214491414e-16 4.756410987189e-17 3.826804724645e-17 + 1650 5.208107951672e-11 2.552234843717e-12 -3.288269089971e-12 8.755246118508e-15 7.571900379129e-16 4.647663286094e-17 3.807651035389e-17 + 1651 5.206628178361e-11 2.541178673042e-12 -3.322033307076e-12 8.748022833470e-15 7.552644782540e-16 4.539885398118e-17 3.788184662069e-17 + 1652 5.205395534883e-11 2.529931088759e-12 -3.355116053539e-12 8.740852207049e-15 7.533447511527e-16 4.433061204924e-17 3.768409412621e-17 + 1653 5.204403666862e-11 2.518496428650e-12 -3.387508474667e-12 8.733733571461e-15 7.514308373745e-16 4.327174494922e-17 3.748329117079e-17 + 1654 5.203646185791e-11 2.506879053734e-12 -3.419201682562e-12 8.726666254697e-15 7.495227174615e-16 4.222208963120e-17 3.727947627608e-17 + 1655 5.203116668988e-11 2.495083348311e-12 -3.450186756076e-12 8.719649580523e-15 7.476203717322e-16 4.118148210977e-17 3.707268818540e-17 + 1656 5.202808659535e-11 2.483113719990e-12 -3.480454740769e-12 8.712682868467e-15 7.457237802812e-16 4.014975746249e-17 3.686296586411e-17 + 1657 5.202715666226e-11 2.470974599731e-12 -3.509996648860e-12 8.705765433817e-15 7.438329229786e-16 3.912674982845e-17 3.665034849993e-17 + 1658 5.202831163518e-11 2.458670441877e-12 -3.538803459183e-12 8.698896587612e-15 7.419477794695e-16 3.811229240674e-17 3.643487550333e-17 + 1659 5.203148591473e-11 2.446205724196e-12 -3.566866117142e-12 8.692075636633e-15 7.400683291738e-16 3.710621745496e-17 3.621658650783e-17 + 1660 5.203661355707e-11 2.433584947909e-12 -3.594175534666e-12 8.685301883400e-15 7.381945512858e-16 3.610835628775e-17 3.599552137039e-17 + 1661 5.204362827335e-11 2.420812637733e-12 -3.620722590166e-12 8.678574626163e-15 7.363264247734e-16 3.511853927528e-17 3.577172017177e-17 + 1662 5.205246342920e-11 2.407893341916e-12 -3.646498128483e-12 8.671893158894e-15 7.344639283783e-16 3.413659584174e-17 3.554522321685e-17 + 1663 5.206305204419e-11 2.394831632269e-12 -3.671492960852e-12 8.665256771282e-15 7.326070406151e-16 3.316235446389e-17 3.531607103497e-17 + 1664 5.207532679127e-11 2.381632104207e-12 -3.695697864849e-12 8.658664748725e-15 7.307557397709e-16 3.219564266954e-17 3.508430438035e-17 + 1665 5.208921999627e-11 2.368299376783e-12 -3.719103584351e-12 8.652116372322e-15 7.289100039050e-16 3.123628703604e-17 3.484996423237e-17 + 1666 5.210466363735e-11 2.354838092725e-12 -3.741700829488e-12 8.645610918869e-15 7.270698108488e-16 3.028411318883e-17 3.461309179595e-17 + 1667 5.212158934449e-11 2.341252918471e-12 -3.763480276599e-12 8.639147660848e-15 7.252351382048e-16 2.933894579990e-17 3.437372850190e-17 + 1668 5.213992839891e-11 2.327548544207e-12 -3.784432568187e-12 8.632725866426e-15 7.234059633464e-16 2.840060858634e-17 3.413191600728e-17 + 1669 5.215961173258e-11 2.313729683900e-12 -3.804548312874e-12 8.626344799439e-15 7.215822634176e-16 2.746892430882e-17 3.388769619572e-17 + 1670 5.218056992767e-11 2.299801075338e-12 -3.823818085352e-12 8.620003719396e-15 7.197640153327e-16 2.654371477009e-17 3.364111117783e-17 + 1671 5.220273321601e-11 2.285767480164e-12 -3.842232426345e-12 8.613701881461e-15 7.179511957755e-16 2.562480081353e-17 3.339220329148e-17 + 1672 5.222603147859e-11 2.271633683914e-12 -3.859781842558e-12 8.607438536455e-15 7.161437811990e-16 2.471200232160e-17 3.314101510221e-17 + 1673 5.225039424497e-11 2.257404496048e-12 -3.876456806634e-12 8.601212930844e-15 7.143417478253e-16 2.380513821439e-17 3.288758940354e-17 + 1674 5.227575069280e-11 2.243084749995e-12 -3.892247757109e-12 8.595024306734e-15 7.125450716447e-16 2.290402644811e-17 3.263196921735e-17 + 1675 5.230203266699e-11 2.228679231306e-12 -3.907147439874e-12 8.588871870782e-15 7.107537302210e-16 2.200858094124e-17 3.237419658657e-17 + 1676 5.232918376724e-11 2.214192461382e-12 -3.921157955023e-12 8.582754700659e-15 7.089677081234e-16 2.111910328183e-17 3.211430894103e-17 + 1677 5.235715033882e-11 2.199628911933e-12 -3.934283771468e-12 8.576671837755e-15 7.071869915412e-16 2.023599356525e-17 3.185234270057e-17 + 1678 5.238587845967e-11 2.184993076716e-12 -3.946529391075e-12 8.570622318180e-15 7.054115664823e-16 1.935965370045e-17 3.158833448012e-17 + 1679 5.241531393998e-11 2.170289471561e-12 -3.957899348715e-12 8.564605172755e-15 7.036414187727e-16 1.849048741259e-17 3.132232108995e-17 + 1680 5.244540232176e-11 2.155522634412e-12 -3.968398212320e-12 8.558619427004e-15 7.018765340565e-16 1.762890024574e-17 3.105433953605e-17 + 1681 5.247608887848e-11 2.140697125358e-12 -3.978030582942e-12 8.552664101142e-15 7.001168977952e-16 1.677529956546e-17 3.078442702034e-17 + 1682 5.250731861464e-11 2.125817526663e-12 -3.986801094801e-12 8.546738210075e-15 6.983624952678e-16 1.593009456152e-17 3.051262094105e-17 + 1683 5.253903626537e-11 2.110888442802e-12 -3.994714415347e-12 8.540840763382e-15 6.966133115699e-16 1.509369625049e-17 3.023895889295e-17 + 1684 5.257118629603e-11 2.095914500495e-12 -4.001775245310e-12 8.534970765312e-15 6.948693316139e-16 1.426651747844e-17 2.996347866771e-17 + 1685 5.260371290181e-11 2.080900348734e-12 -4.007988318754e-12 8.529127214777e-15 6.931305401283e-16 1.344897292356e-17 2.968621825416e-17 + 1686 5.263656000730e-11 2.065850658827e-12 -4.013358403140e-12 8.523309105339e-15 6.913969216576e-16 1.264147909881e-17 2.940721583861e-17 + 1687 5.266967126611e-11 2.050770124420e-12 -4.017890299370e-12 8.517515425207e-15 6.896684605617e-16 1.184445435460e-17 2.912650980513e-17 + 1688 5.270299006047e-11 2.035663461536e-12 -4.021588841850e-12 8.511745157223e-15 6.879451410157e-16 1.105831888139e-17 2.884413873588e-17 + 1689 5.273645950082e-11 2.020535408608e-12 -4.024458898541e-12 8.505997278858e-15 6.862269470096e-16 1.028349471240e-17 2.856014141137e-17 + 1690 5.277002242539e-11 2.005390726510e-12 -4.026505371016e-12 8.500270762204e-15 6.845138623479e-16 9.520405726201e-18 2.827455681079e-17 + 1691 5.280362139981e-11 1.990234198591e-12 -4.027733194514e-12 8.494564573961e-15 6.828058706495e-16 8.769477649406e-18 2.798742411233e-17 + 1692 5.283719871670e-11 1.975070630711e-12 -4.028147337993e-12 8.488877675434e-15 6.811029553466e-16 8.031138059309e-18 2.769878269340e-17 + 1693 5.287069639529e-11 1.959904851267e-12 -4.027752804190e-12 8.483209022522e-15 6.794050996855e-16 7.305816386527e-18 2.740867213101e-17 + 1694 5.290405618097e-11 1.944741711233e-12 -4.026554629670e-12 8.477557565709e-15 6.777122867252e-16 6.593943917660e-18 2.711713220205e-17 + 1695 5.293721954493e-11 1.929586084192e-12 -4.024557884886e-12 8.471922250059e-15 6.760244993378e-16 5.895953797937e-18 2.682420288356e-17 + 1696 5.297012768373e-11 1.914442866365e-12 -4.021767674229e-12 8.466302015203e-15 6.743417202076e-16 5.212281033866e-18 2.652992435305e-17 + 1697 5.300272151890e-11 1.899316976648e-12 -4.018189136087e-12 8.460695795335e-15 6.726639318312e-16 4.543362495883e-18 2.623433698882e-17 + 1698 5.303494169654e-11 1.884213356645e-12 -4.013827442899e-12 8.455102519202e-15 6.709911165171e-16 3.889636921007e-18 2.593748137021e-17 + 1699 5.306672858692e-11 1.869136970698e-12 -4.008687801210e-12 8.449521110094e-15 6.693232563850e-16 3.251544915484e-18 2.563939827796e-17 + 1700 5.309802228407e-11 1.854092805924e-12 -4.002775451721e-12 8.443950485840e-15 6.676603333658e-16 2.629528957441e-18 2.534012869446e-17 + 1701 5.312876260538e-11 1.839085872245e-12 -3.996095669355e-12 8.438389558794e-15 6.660023292012e-16 2.024033399536e-18 2.503971380407e-17 + 1702 5.315888909118e-11 1.824121202423e-12 -3.988653763298e-12 8.432837235833e-15 6.643492254433e-16 1.435504471606e-18 2.473819499342e-17 + 1703 5.318834100435e-11 1.809203852094e-12 -3.980455077067e-12 8.427292418342e-15 6.627010034543e-16 8.643902833185e-19 2.443561385172e-17 + 1704 5.321705732993e-11 1.794338899796e-12 -3.971504988556e-12 8.421754002211e-15 6.610576444061e-16 3.111408268216e-19 2.413201217102e-17 + 1705 5.324497677469e-11 1.779531447010e-12 -3.961808910094e-12 8.416220877825e-15 6.594191292800e-16 -2.237920206061e-19 2.382743194656e-17 + 1706 5.327203776672e-11 1.764786618185e-12 -3.951372288501e-12 8.410691930056e-15 6.577854388663e-16 -7.399544939050e-19 2.352191537704e-17 + 1707 5.329817845507e-11 1.750109560778e-12 -3.940200605141e-12 8.405166038252e-15 6.561565537643e-16 -1.236890937585e-18 2.321550486494e-17 + 1708 5.332333670930e-11 1.735505445282e-12 -3.928299375977e-12 8.399642076233e-15 6.545324543814e-16 -1.714143803075e-18 2.290824301678e-17 + 1709 5.334745011910e-11 1.720979465262e-12 -3.915674151629e-12 8.394118912280e-15 6.529131209330e-16 -2.171253646074e-18 2.260017264348e-17 + 1710 5.337045599388e-11 1.706536837389e-12 -3.902330517423e-12 8.388595409127e-15 6.512985334424e-16 -2.607759123897e-18 2.229133676059e-17 + 1711 5.339229136235e-11 1.692182801467e-12 -3.888274093454e-12 8.383070423953e-15 6.496886717402e-16 -3.023196992830e-18 2.198177858865e-17 + 1712 5.341289297215e-11 1.677922620476e-12 -3.873510534631e-12 8.377542808374e-15 6.480835154639e-16 -3.417102105478e-18 2.167154155346e-17 + 1713 5.343219728942e-11 1.663761580595e-12 -3.858045530743e-12 8.372011408434e-15 6.464830440577e-16 -3.789007408114e-18 2.136066928638e-17 + 1714 5.345014762215e-11 1.649704518608e-12 -3.841885917790e-12 8.366475139567e-15 6.448872382847e-16 -4.138557218608e-18 2.104920422666e-17 + 1715 5.346671555753e-11 1.635754399618e-12 -3.825043022281e-12 8.360933212191e-15 6.432960847774e-16 -4.465848122986e-18 2.073718341472e-17 + 1716 5.348187970679e-11 1.621913727254e-12 -3.807529345595e-12 8.355384908021e-15 6.417095715256e-16 -4.771090983671e-18 2.042464266354e-17 + 1717 5.349561859796e-11 1.608185015219e-12 -3.789357455393e-12 8.349829505275e-15 6.401276863665e-16 -5.054497925017e-18 2.011161795365e-17 + 1718 5.350791067575e-11 1.594570787303e-12 -3.770539985714e-12 8.344266278660e-15 6.385504169849e-16 -5.316282335275e-18 1.979814543334e-17 + 1719 5.351873430146e-11 1.581073577396e-12 -3.751089637076e-12 8.338694499373e-15 6.369777509128e-16 -5.556658868575e-18 1.948426141892e-17 + 1720 5.352806775281e-11 1.567695929504e-12 -3.731019176577e-12 8.333113435097e-15 6.354096755291e-16 -5.775843446896e-18 1.917000239498e-17 + 1721 5.353588922388e-11 1.554440397758e-12 -3.710341437994e-12 8.327522349989e-15 6.338461780594e-16 -5.974053262043e-18 1.885540501459e-17 + 1722 5.354217682498e-11 1.541309546436e-12 -3.689069321885e-12 8.321920504681e-15 6.322872455754e-16 -6.151506777619e-18 1.854050609960e-17 + 1723 5.354690858254e-11 1.528305949968e-12 -3.667215795689e-12 8.316307156271e-15 6.307328649953e-16 -6.308423730999e-18 1.822534264081e-17 + 1724 5.355006243898e-11 1.515432192956e-12 -3.644793893825e-12 8.310681558321e-15 6.291830230827e-16 -6.445025135310e-18 1.790995179829e-17 + 1725 5.355161625261e-11 1.502690870184e-12 -3.621816717792e-12 8.305042960850e-15 6.276377064469e-16 -6.561533281397e-18 1.759437090156e-17 + 1726 5.355154779753e-11 1.490084586636e-12 -3.598297436274e-12 8.299390610326e-15 6.260969015424e-16 -6.658171739802e-18 1.727863744988e-17 + 1727 5.354983476348e-11 1.477615957504e-12 -3.574249285231e-12 8.293723749666e-15 6.245605946686e-16 -6.735165362740e-18 1.696278911244e-17 + 1728 5.354645475577e-11 1.465287608207e-12 -3.549685568011e-12 8.288041618229e-15 6.230287719697e-16 -6.792740286070e-18 1.664686372867e-17 + 1729 5.354138529513e-11 1.453102174404e-12 -3.524619655440e-12 8.282343451807e-15 6.215014194343e-16 -6.831123931269e-18 1.633089930842e-17 + 1730 5.353460381762e-11 1.441062302004e-12 -3.499064985927e-12 8.276628482626e-15 6.199785228948e-16 -6.850545007409e-18 1.601493403224e-17 + 1731 5.352608767450e-11 1.429170647185e-12 -3.473035065566e-12 8.270895939335e-15 6.184600680280e-16 -6.851233513132e-18 1.569900625160e-17 + 1732 5.351581413214e-11 1.417429876403e-12 -3.446543468231e-12 8.265145047005e-15 6.169460403537e-16 -6.833420738620e-18 1.538315448916e-17 + 1733 5.350376037188e-11 1.405842666411e-12 -3.419603835683e-12 8.259375027121e-15 6.154364252354e-16 -6.797339267571e-18 1.506741743899e-17 + 1734 5.348990348994e-11 1.394411704267e-12 -3.392229877664e-12 8.253585097579e-15 6.139312078793e-16 -6.743222979179e-18 1.475183396682e-17 + 1735 5.347422049727e-11 1.383139687352e-12 -3.364435372000e-12 8.247774472678e-15 6.124303733345e-16 -6.671307050098e-18 1.443644311027e-17 + 1736 5.345668831950e-11 1.372029323384e-12 -3.336234164703e-12 8.241942363118e-15 6.109339064926e-16 -6.581827956426e-18 1.412128407914e-17 + 1737 5.343728379676e-11 1.361083330429e-12 -3.307640170067e-12 8.236087975992e-15 6.094417920871e-16 -6.475023475673e-18 1.380639625557e-17 + 1738 5.341598368360e-11 1.350304436915e-12 -3.278667370774e-12 8.230210514782e-15 6.079540146935e-16 -6.351132688739e-18 1.349181919436e-17 + 1739 5.339276464888e-11 1.339695381651e-12 -3.249329817988e-12 8.224309179353e-15 6.064705587292e-16 -6.210395981886e-18 1.317759262318e-17 + 1740 5.336760327564e-11 1.329258913833e-12 -3.219641631460e-12 8.218383165951e-15 6.049914084524e-16 -6.053055048713e-18 1.286375644281e-17 + 1741 5.334047606100e-11 1.318997793064e-12 -3.189616999627e-12 8.212431667193e-15 6.035165479628e-16 -5.879352892133e-18 1.255035072739e-17 + 1742 5.331135941605e-11 1.308914789363e-12 -3.159270179711e-12 8.206453872062e-15 6.020459612005e-16 -5.689533826342e-18 1.223741572466e-17 + 1743 5.328022966571e-11 1.299012683185e-12 -3.128615497821e-12 8.200448965908e-15 6.005796319465e-16 -5.483843478800e-18 1.192499185620e-17 + 1744 5.324706304865e-11 1.289294265428e-12 -3.097667349052e-12 8.194416130436e-15 5.991175438217e-16 -5.262528792197e-18 1.161311971769e-17 + 1745 5.321183571716e-11 1.279762337452e-12 -3.066440197586e-12 8.188354543702e-15 5.976596802869e-16 -5.025838026436e-18 1.130184007912e-17 + 1746 5.317452373703e-11 1.270419711089e-12 -3.034948576793e-12 8.182263380112e-15 5.962060246428e-16 -4.774020760603e-18 1.099119388506e-17 + 1747 5.313510308746e-11 1.261269208660e-12 -3.003207089329e-12 8.176141810411e-15 5.947565600293e-16 -4.507327894939e-18 1.068122225490e-17 + 1748 5.309354966091e-11 1.252313662987e-12 -2.971230407238e-12 8.169989001681e-15 5.933112694253e-16 -4.226011652821e-18 1.037196648308e-17 + 1749 5.304983926303e-11 1.243555917408e-12 -2.939033272054e-12 8.163804117336e-15 5.918701356488e-16 -3.930325582729e-18 1.006346803933e-17 + 1750 5.300394761252e-11 1.234998825787e-12 -2.906630494896e-12 8.157586317116e-15 5.904331413561e-16 -3.620524560226e-18 9.755768568946e-18 + 1751 5.295585034101e-11 1.226645252535e-12 -2.874036956574e-12 8.151334757080e-15 5.890002690419e-16 -3.296864789931e-18 9.448909892987e-18 + 1752 5.290552299298e-11 1.218498072618e-12 -2.841267607687e-12 8.145048589606e-15 5.875715010386e-16 -2.959603807489e-18 9.142934008549e-18 + 1753 5.285294766352e-11 1.210559609042e-12 -2.808336980657e-12 8.138727086367e-15 5.861468207922e-16 -2.608986851347e-18 8.837880252729e-18 + 1754 5.279813297264e-11 1.202829940155e-12 -2.775257721189e-12 8.132370008426e-15 5.847262166996e-16 -2.245205849704e-18 8.533776768181e-18 + 1755 5.274109425748e-11 1.195308578243e-12 -2.742042044755e-12 8.125977239222e-15 5.833096783025e-16 -1.868440095150e-18 8.230648966809e-18 + 1756 5.268184694967e-11 1.187995030770e-12 -2.708702223624e-12 8.119548661865e-15 5.818971950143e-16 -1.478869845240e-18 7.928522359695e-18 + 1757 5.262040657548e-11 1.180888800371e-12 -2.675250586949e-12 8.113084159131e-15 5.804887561201e-16 -1.076676323938e-18 7.627422557239e-18 + 1758 5.255678875599e-11 1.173989384842e-12 -2.641699520843e-12 8.106583613467e-15 5.790843507766e-16 -6.620417230564e-19 7.327375269281e-18 + 1759 5.249100920717e-11 1.167296277136e-12 -2.608061468462e-12 8.100046906985e-15 5.776839680113e-16 -2.351492037000e-19 7.028406305243e-18 + 1760 5.242308374011e-11 1.160808965347e-12 -2.574348930086e-12 8.093473921464e-15 5.762875967229e-16 2.038171022916e-19 6.730541574255e-18 + 1761 5.235302826110e-11 1.154526932711e-12 -2.540574463203e-12 8.086864538352e-15 5.748952256808e-16 6.546720909021e-19 6.433807085285e-18 + 1762 5.228085877180e-11 1.148449657590e-12 -2.506750682585e-12 8.080218638762e-15 5.735068435246e-16 1.117229684496e-18 6.138228947279e-18 + 1763 5.220659136939e-11 1.142576613470e-12 -2.472890260373e-12 8.073536103472e-15 5.721224387646e-16 1.591302830375e-18 5.843833369286e-18 + 1764 5.213024224672e-11 1.136907268948e-12 -2.439005926159e-12 8.066816812925e-15 5.707419997806e-16 2.076703499337e-18 5.550646660590e-18 + 1765 5.205182769244e-11 1.131441087727e-12 -2.405110467063e-12 8.060060647232e-15 5.693655148227e-16 2.573242684236e-18 5.258695230848e-18 + 1766 5.197136409113e-11 1.126177528608e-12 -2.371216727818e-12 8.053267486164e-15 5.679929720101e-16 3.080730398532e-18 4.968005590215e-18 + 1767 5.188886792351e-11 1.121116045479e-12 -2.337337610850e-12 8.046437209159e-15 5.666243593317e-16 3.598975674859e-18 4.678604349482e-18 + 1768 5.180435576651e-11 1.116256087310e-12 -2.303486076359e-12 8.039569695319e-15 5.652596646453e-16 4.127786563573e-18 4.390518220201e-18 + 1769 5.171784429347e-11 1.111597098142e-12 -2.269675142402e-12 8.032664823407e-15 5.638988756775e-16 4.666970131315e-18 4.103774014825e-18 + 1770 5.162935027424e-11 1.107138517081e-12 -2.235917884971e-12 8.025722471850e-15 5.625419800238e-16 5.216332459570e-18 3.818398646833e-18 + 1771 5.153889057538e-11 1.102879778291e-12 -2.202227438076e-12 8.018742518736e-15 5.611889651479e-16 5.775678643219e-18 3.534419130866e-18 + 1772 5.144648216026e-11 1.098820310981e-12 -2.168616993827e-12 8.011724841816e-15 5.598398183817e-16 6.344812789100e-18 3.251862582859e-18 + 1773 5.135214208924e-11 1.094959539403e-12 -2.135099802516e-12 8.004669318503e-15 5.584945269252e-16 6.923538014567e-18 2.970756220169e-18 + 1774 5.125588751976e-11 1.091296882837e-12 -2.101689172693e-12 7.997575825868e-15 5.571530778459e-16 7.511656446045e-18 2.691127361713e-18 + 1775 5.115773570656e-11 1.087831755592e-12 -2.068398471253e-12 7.990444240647e-15 5.558154580790e-16 8.108969217587e-18 2.413003428094e-18 + 1776 5.105770400178e-11 1.084563566987e-12 -2.035241123518e-12 7.983274439231e-15 5.544816544268e-16 8.715276469435e-18 2.136411941738e-18 + 1777 5.095580985511e-11 1.081491721352e-12 -2.002230613310e-12 7.976066297674e-15 5.531516535587e-16 9.330377346575e-18 1.861380527022e-18 + 1778 5.085207081394e-11 1.078615618014e-12 -1.969380483042e-12 7.968819691688e-15 5.518254420110e-16 9.954069997296e-18 1.587936910409e-18 + 1779 5.074650452352e-11 1.075934651295e-12 -1.936704333793e-12 7.961534496644e-15 5.505030061864e-16 1.058615157174e-17 1.316108920578e-18 + 1780 5.063912872708e-11 1.073448210494e-12 -1.904215825391e-12 7.954210587571e-15 5.491843323542e-16 1.122641822049e-17 1.045924488556e-18 + 1781 5.052996126598e-11 1.071155679891e-12 -1.871928676496e-12 7.946847839155e-15 5.478694066494e-16 1.187466509306e-17 7.774116478506e-19 + 1782 5.041902007989e-11 1.069056438728e-12 -1.839856664679e-12 7.939446125742e-15 5.465582150733e-16 1.253068633655e-17 5.105985345836e-19 + 1783 5.030632320688e-11 1.067149861208e-12 -1.808013626503e-12 7.932005321332e-15 5.452507434926e-16 1.319427509410e-17 2.455133876198e-19 + 1784 5.019188878363e-11 1.065435316484e-12 -1.776413457606e-12 7.924525299582e-15 5.439469776396e-16 1.386522350354e-17 -1.781545129918e-20 + 1785 5.007573504550e-11 1.063912168651e-12 -1.745070112781e-12 7.917005933807e-15 5.426469031117e-16 1.454332269588e-17 -2.793595374232e-19 + 1786 4.995788032674e-11 1.062579776738e-12 -1.713997606059e-12 7.909447096976e-15 5.413505053713e-16 1.522836279390e-17 -5.390903228618e-19 + 1787 4.983834306062e-11 1.061437494702e-12 -1.683210010786e-12 7.901848661714e-15 5.400577697454e-16 1.592013291070e-17 -7.969791564522e-19 + 1788 4.971714177956e-11 1.060484671414e-12 -1.652721459711e-12 7.894210500298e-15 5.387686814258e-16 1.661842114825e-17 -1.052997283627e-18 + 1789 4.959429511527e-11 1.059720650659e-12 -1.622546145059e-12 7.886532484664e-15 5.374832254684e-16 1.732301459598e-17 -1.307115846283e-18 + 1790 4.946982179892e-11 1.059144771120e-12 -1.592698318620e-12 7.878814486397e-15 5.362013867931e-16 1.803369932930e-17 -1.559305882648e-18 + 1791 4.934374066129e-11 1.058756366376e-12 -1.563192291827e-12 7.871056376740e-15 5.349231501837e-16 1.875026040815e-17 -1.809538327150e-18 + 1792 4.921607337316e-11 1.058554431706e-12 -1.534040920614e-12 7.863258122719e-15 5.336485013671e-16 1.947247953415e-17 -2.057787308678e-18 + 1793 4.908685269079e-11 1.058536621553e-12 -1.505251046320e-12 7.855420076410e-15 5.323774302612e-16 2.020012800380e-17 -2.304040075077e-18 + 1794 4.895611427809e-11 1.058700243860e-12 -1.476828017717e-12 7.847542688036e-15 5.311099277533e-16 2.093297369484e-17 -2.548287149429e-18 + 1795 4.882389397266e-11 1.059042592487e-12 -1.448777202882e-12 7.839626410054e-15 5.298459846223e-16 2.167078340096e-17 -2.790519039015e-18 + 1796 4.869022778611e-11 1.059560947194e-12 -1.421103989220e-12 7.831671697154e-15 5.285855915390e-16 2.241332283022e-17 -3.030726235296e-18 + 1797 4.855515190425e-11 1.060252573616e-12 -1.393813783485e-12 7.823679006263e-15 5.273287390654e-16 2.316035660362e-17 -3.268899213913e-18 + 1798 4.841870268735e-11 1.061114723249e-12 -1.366912011808e-12 7.815648796551e-15 5.260754176552e-16 2.391164825347e-17 -3.505028434674e-18 + 1799 4.828091667040e-11 1.062144633422e-12 -1.340404119723e-12 7.807581529432e-15 5.248256176529e-16 2.466696022192e-17 -3.739104341546e-18 + 1800 4.814183056336e-11 1.063339527284e-12 -1.314295572188e-12 7.799477668566e-15 5.235793292940e-16 2.542605385940e-17 -3.971117362647e-18 + 1801 4.800148125139e-11 1.064696613775e-12 -1.288591853610e-12 7.791337679865e-15 5.223365427050e-16 2.618868942312e-17 -4.201057910234e-18 + 1802 4.785990579511e-11 1.066213087613e-12 -1.263298467873e-12 7.783162031495e-15 5.210972479026e-16 2.695462607550e-17 -4.428916380699e-18 + 1803 4.771714143085e-11 1.067886129268e-12 -1.238420938361e-12 7.774951193877e-15 5.198614347941e-16 2.772362188267e-17 -4.654683154558e-18 + 1804 4.757322557090e-11 1.069712904947e-12 -1.213964807980e-12 7.766705639694e-15 5.186290931767e-16 2.849543381296e-17 -4.878348596441e-18 + 1805 4.742819580372e-11 1.071690566567e-12 -1.189935639187e-12 7.758425843891e-15 5.174002127380e-16 2.926981773529e-17 -5.099903055085e-18 + 1806 4.728208989427e-11 1.073816251738e-12 -1.166339014010e-12 7.750112283679e-15 5.161747830549e-16 3.004652841775e-17 -5.319336863323e-18 + 1807 4.713494578417e-11 1.076087083744e-12 -1.143180534079e-12 7.741765438539e-15 5.149527935944e-16 3.082531952596e-17 -5.536640338080e-18 + 1808 4.698680159200e-11 1.078500171519e-12 -1.120465820642e-12 7.733385790225e-15 5.137342337126e-16 3.160594362164e-17 -5.751803780358e-18 + 1809 4.683769561354e-11 1.081052609626e-12 -1.098200514600e-12 7.724973822767e-15 5.125190926548e-16 3.238815216100e-17 -5.964817475232e-18 + 1810 4.668766632201e-11 1.083741478241e-12 -1.076390276521e-12 7.716530022472e-15 5.113073595556e-16 3.317169549325e-17 -6.175671691839e-18 + 1811 4.653675236832e-11 1.086563843129e-12 -1.055040786673e-12 7.708054877930e-15 5.100990234382e-16 3.395632285909e-17 -6.384356683368e-18 + 1812 4.638499258131e-11 1.089516755623e-12 -1.034157745045e-12 7.699548880018e-15 5.088940732146e-16 3.474178238911e-17 -6.590862687056e-18 + 1813 4.623242596801e-11 1.092597252606e-12 -1.013746871370e-12 7.691012521899e-15 5.076924976852e-16 3.552782110234e-17 -6.795179924175e-18 + 1814 4.607909171391e-11 1.095802356488e-12 -9.938139051550e-13 7.682446299028e-15 5.064942855388e-16 3.631418490467e-17 -6.997298600022e-18 + 1815 4.592502918314e-11 1.099129075185e-12 -9.743646057001e-13 7.673850709154e-15 5.052994253520e-16 3.710061858734e-17 -7.197208903915e-18 + 1816 4.577027791880e-11 1.102574402102e-12 -9.554047521263e-13 7.665226252327e-15 5.041079055897e-16 3.788686582539e-17 -7.394901009182e-18 + 1817 4.561487764314e-11 1.106135316109e-12 -9.369401433989e-13 7.656573430893e-15 5.029197146042e-16 3.867266917616e-17 -7.590365073151e-18 + 1818 4.545886825787e-11 1.109808781522e-12 -9.189765983530e-13 7.647892749507e-15 5.017348406355e-16 3.945777007774e-17 -7.783591237141e-18 + 1819 4.530228984433e-11 1.113591748082e-12 -9.015199557175e-13 7.639184715127e-15 5.005532718108e-16 4.024190884744e-17 -7.974569626457e-18 + 1820 4.514518266383e-11 1.117481150934e-12 -8.845760741400e-13 7.630449837024e-15 4.993749961446e-16 4.102482468028e-17 -8.163290350378e-18 + 1821 4.498758715782e-11 1.121473910607e-12 -8.681508322112e-13 7.621688626782e-15 4.982000015383e-16 4.180625564742e-17 -8.349743502147e-18 + 1822 4.482954394818e-11 1.125566932993e-12 -8.522501284902e-13 7.612901598301e-15 4.970282757799e-16 4.258593869468e-17 -8.533919158967e-18 + 1823 4.467109383746e-11 1.129757109327e-12 -8.368798815283e-13 7.604089267801e-15 4.958598065444e-16 4.336360964098e-17 -8.715807381986e-18 + 1824 4.451227780913e-11 1.134041316167e-12 -8.220460298945e-13 7.595252153825e-15 4.946945813926e-16 4.413900317680e-17 -8.895398216294e-18 + 1825 4.435313702781e-11 1.138416415370e-12 -8.077545321992e-13 7.586390777244e-15 4.935325877721e-16 4.491185286269e-17 -9.072681690912e-18 + 1826 4.419371283954e-11 1.142879254076e-12 -7.940113671198e-13 7.577505661254e-15 4.923738130160e-16 4.568189112769e-17 -9.247647818780e-18 + 1827 4.403404677202e-11 1.147426664685e-12 -7.808225334248e-13 7.568597331388e-15 4.912182443436e-16 4.644884926785e-17 -9.420286596754e-18 + 1828 4.387418053485e-11 1.152055464836e-12 -7.681940499986e-13 7.559666315512e-15 4.900658688597e-16 4.721245744466e-17 -9.590588005595e-18 + 1829 4.371415601980e-11 1.156762457389e-12 -7.561319558661e-13 7.550713143830e-15 4.889166735544e-16 4.797244468355e-17 -9.758542009956e-18 + 1830 4.355401530104e-11 1.161544430400e-12 -7.446423102172e-13 7.541738348891e-15 4.877706453033e-16 4.872853887232e-17 -9.924138558381e-18 + 1831 4.339379884626e-11 1.166398186904e-12 -7.337296524031e-13 7.532742489020e-15 4.866277717840e-16 4.948051215786e-17 -1.008737017193e-17 + 1832 4.323354013386e-11 1.171320634556e-12 -7.233923684160e-13 7.523726218832e-15 4.854880442362e-16 5.022831753578e-17 -1.024823973270e-17 + 1833 4.307327099328e-11 1.176308696662e-12 -7.136272874258e-13 7.514690219294e-15 4.843514547230e-16 5.097195334940e-17 -1.040675275754e-17 + 1834 4.291302339033e-11 1.181359282427e-12 -7.044312184168e-13 7.505635174339e-15 4.832179952164e-16 5.171141799066e-17 -1.056291481516e-17 + 1835 4.275282942741e-11 1.186469286937e-12 -6.958009501576e-13 7.496561770876e-15 4.820876575969e-16 5.244670990032e-17 -1.071673152616e-17 + 1836 4.259272134372e-11 1.191635591137e-12 -6.877332511702e-13 7.487470698792e-15 4.809604336531e-16 5.317782756795e-17 -1.086820856317e-17 + 1837 4.243273151538e-11 1.196855061813e-12 -6.802248697000e-13 7.478362650955e-15 4.798363150818e-16 5.390476953212e-17 -1.101735165093e-17 + 1838 4.227289245567e-11 1.202124551571e-12 -6.732725336850e-13 7.469238323220e-15 4.787152934877e-16 5.462753438042e-17 -1.116416656634e-17 + 1839 4.211323681520e-11 1.207440898819e-12 -6.668729507257e-13 7.460098414430e-15 4.775973603834e-16 5.534612074960e-17 -1.130865913855e-17 + 1840 4.195379738208e-11 1.212800927747e-12 -6.610228080543e-13 7.450943626424e-15 4.764825071890e-16 5.606052732564e-17 -1.145083524909e-17 + 1841 4.179460708210e-11 1.218201448308e-12 -6.557187725045e-13 7.441774664039e-15 4.753707252323e-16 5.677075284385e-17 -1.159070083189e-17 + 1842 4.163569897895e-11 1.223639256195e-12 -6.509574904810e-13 7.432592235110e-15 4.742620057483e-16 5.747679608897e-17 -1.172826187341e-17 + 1843 4.147710627438e-11 1.229111132828e-12 -6.467355879291e-13 7.423397050483e-15 4.731563398793e-16 5.817865589527e-17 -1.186352441270e-17 + 1844 4.131886230836e-11 1.234613845330e-12 -6.430496703040e-13 7.414189824011e-15 4.720537186744e-16 5.887633114661e-17 -1.199649454150e-17 + 1845 4.116100055931e-11 1.240144146505e-12 -6.398963225409e-13 7.404971272561e-15 4.709541330897e-16 5.956982077659e-17 -1.212717840429e-17 + 1846 4.100355464426e-11 1.245698774827e-12 -6.372721090239e-13 7.395742116017e-15 4.698575739882e-16 6.025912376858e-17 -1.225558219844e-17 + 1847 4.084655831903e-11 1.251274454411e-12 -6.351735735562e-13 7.386503077287e-15 4.687640321392e-16 6.094423915589e-17 -1.238171217422e-17 + 1848 4.069004547843e-11 1.256867895000e-12 -6.335972393292e-13 7.377254882303e-15 4.676734982184e-16 6.162516602177e-17 -1.250557463492e-17 + 1849 4.053405015643e-11 1.262475791943e-12 -6.325396088920e-13 7.367998260028e-15 4.665859628078e-16 6.230190349960e-17 -1.262717593695e-17 + 1850 4.037860652636e-11 1.268094826175e-12 -6.319971641215e-13 7.358733942457e-15 4.655014163957e-16 6.297445077292e-17 -1.274652248988e-17 + 1851 4.022374890105e-11 1.273721664199e-12 -6.319663661916e-13 7.349462664624e-15 4.644198493760e-16 6.364280707554e-17 -1.286362075656e-17 + 1852 4.006951173309e-11 1.279352958065e-12 -6.324436555424e-13 7.340185164604e-15 4.633412520485e-16 6.430697169166e-17 -1.297847725321e-17 + 1853 3.991592961495e-11 1.284985345352e-12 -6.334254518507e-13 7.330902183519e-15 4.622656146187e-16 6.496694395592e-17 -1.309109854944e-17 + 1854 3.976303727918e-11 1.290615449147e-12 -6.349081539985e-13 7.321614465540e-15 4.611929271974e-16 6.562272325352e-17 -1.320149126843e-17 + 1855 3.961086959861e-11 1.296239878026e-12 -6.368881400434e-13 7.312322757890e-15 4.601231798010e-16 6.627430902033e-17 -1.330966208692e-17 + 1856 3.945946158652e-11 1.301855226036e-12 -6.393617671877e-13 7.303027810852e-15 4.590563623506e-16 6.692170074295e-17 -1.341561773537e-17 + 1857 3.930884839684e-11 1.307458072673e-12 -6.423253717479e-13 7.293730377769e-15 4.579924646727e-16 6.756489795881e-17 -1.351936499800e-17 + 1858 3.915906532429e-11 1.313044982864e-12 -6.457752691249e-13 7.284431215052e-15 4.569314764985e-16 6.820390025631e-17 -1.362091071287e-17 + 1859 3.901014780463e-11 1.318612506947e-12 -6.497077537725e-13 7.275131082178e-15 4.558733874637e-16 6.883870727483e-17 -1.372026177201e-17 + 1860 3.886213141479e-11 1.324157180651e-12 -6.541190991681e-13 7.265830741700e-15 4.548181871088e-16 6.946931870492e-17 -1.381742512143e-17 + 1861 3.871505187309e-11 1.329675525078e-12 -6.590055577814e-13 7.256530959248e-15 4.537658648785e-16 7.009573428830e-17 -1.391240776129e-17 + 1862 3.856894503938e-11 1.335164046683e-12 -6.643633610443e-13 7.247232503535e-15 4.527164101219e-16 7.071795381805e-17 -1.400521674591e-17 + 1863 3.842384691528e-11 1.340619237252e-12 -6.701887193206e-13 7.237936146356e-15 4.516698120918e-16 7.133597713861e-17 -1.409585918391e-17 + 1864 3.827979364432e-11 1.346037573886e-12 -6.764778218751e-13 7.228642662600e-15 4.506260599452e-16 7.194980414596e-17 -1.418434223823e-17 + 1865 3.813682151216e-11 1.351415518980e-12 -6.832268368438e-13 7.219352830245e-15 4.495851427429e-16 7.255943478763e-17 -1.427067312628e-17 + 1866 3.799496694672e-11 1.356749520205e-12 -6.904319112028e-13 7.210067430371e-15 4.485470494489e-16 7.316486906287e-17 -1.435485912000e-17 + 1867 3.785426651843e-11 1.362036010483e-12 -6.980891707384e-13 7.200787247155e-15 4.475117689310e-16 7.376610702271e-17 -1.443690754593e-17 + 1868 3.771475694036e-11 1.367271407975e-12 -7.061947200162e-13 7.191513067883e-15 4.464792899601e-16 7.436314877004e-17 -1.451682578528e-17 + 1869 3.757647506845e-11 1.372452116056e-12 -7.147446423512e-13 7.182245682950e-15 4.454496012103e-16 7.495599445973e-17 -1.459462127408e-17 + 1870 3.743945351240e-11 1.377574836026e-12 -7.237342670588e-13 7.172985838348e-15 4.444226920395e-16 7.554463589553e-17 -1.467030303253e-17 + 1871 3.730370743058e-11 1.382637507939e-12 -7.331559650022e-13 7.163734092725e-15 4.433985548384e-16 7.612903124867e-17 -1.474388626627e-17 + 1872 3.716924763215e-11 1.387638377100e-12 -7.430013357324e-13 7.154490959216e-15 4.423771826996e-16 7.670913014159e-17 -1.481538780129e-17 + 1873 3.703608495700e-11 1.392575681992e-12 -7.532619385852e-13 7.145256952862e-15 4.413585686385e-16 7.728488203298e-17 -1.488482455805e-17 + 1874 3.690423027574e-11 1.397447654268e-12 -7.639292926249e-13 7.136032590608e-15 4.403427055925e-16 7.785623621758e-17 -1.495221355157e-17 + 1875 3.677369448976e-11 1.402252518745e-12 -7.749948765893e-13 7.126818391307e-15 4.393295864218e-16 7.842314182600e-17 -1.501757189160e-17 + 1876 3.664448853127e-11 1.406988493396e-12 -7.864501288337e-13 7.117614875723e-15 4.383192039085e-16 7.898554782449e-17 -1.508091678271e-17 + 1877 3.651662336330e-11 1.411653789334e-12 -7.982864472756e-13 7.108422566534e-15 4.373115507567e-16 7.954340301481e-17 -1.514226552449e-17 + 1878 3.639010997976e-11 1.416246610812e-12 -8.104951893393e-13 7.099241988331e-15 4.363066195926e-16 8.009665603395e-17 -1.520163551164e-17 + 1879 3.626495940547e-11 1.420765155209e-12 -8.230676718995e-13 7.090073667625e-15 4.353044029641e-16 8.064525535403e-17 -1.525904423412e-17 + 1880 3.614118269620e-11 1.425207613023e-12 -8.359951712269e-13 7.080918132846e-15 4.343048933409e-16 8.118914928202e-17 -1.531450927728e-17 + 1881 3.601879093869e-11 1.429572167861e-12 -8.492689229318e-13 7.071775914346e-15 4.333080831141e-16 8.172828595961e-17 -1.536804832201e-17 + 1882 3.589779525067e-11 1.433856996433e-12 -8.628801219085e-13 7.062647544403e-15 4.323139645961e-16 8.226261336298e-17 -1.541967914487e-17 + 1883 3.577820678094e-11 1.438060268539e-12 -8.768199222805e-13 7.053533557220e-15 4.313225300208e-16 8.279207930263e-17 -1.546941961820e-17 + 1884 3.566003670935e-11 1.442180147063e-12 -8.910794373440e-13 7.044434488932e-15 4.303337715432e-16 8.331663142315e-17 -1.551728771032e-17 + 1885 3.554329624688e-11 1.446214787965e-12 -9.056497395130e-13 7.035350877603e-15 4.293476812392e-16 8.383621720307e-17 -1.556330148560e-17 + 1886 3.542799663564e-11 1.450162340268e-12 -9.205218602633e-13 7.026283263233e-15 4.283642511057e-16 8.435078395463e-17 -1.560747910462e-17 + 1887 3.531414914892e-11 1.454020946056e-12 -9.356867900773e-13 7.017232187759e-15 4.273834730602e-16 8.486027882362e-17 -1.564983882434e-17 + 1888 3.520176509122e-11 1.457788740458e-12 -9.511354783880e-13 7.008198195055e-15 4.264053389412e-16 8.536464878915e-17 -1.569039899816e-17 + 1889 3.509085579827e-11 1.461463851645e-12 -9.668588335239e-13 6.999181830938e-15 4.254298405073e-16 8.586384066348e-17 -1.572917807615e-17 + 1890 3.498143263710e-11 1.465044400815e-12 -9.828477226530e-13 6.990183643168e-15 4.244569694375e-16 8.635780109181e-17 -1.576619460510e-17 + 1891 3.487350700603e-11 1.468528502193e-12 -9.990929717275e-13 6.981204181449e-15 4.234867173314e-16 8.684647655213e-17 -1.580146722871e-17 + 1892 3.476709033474e-11 1.471914263012e-12 -1.015585365428e-12 6.972243997437e-15 4.225190757082e-16 8.732981335494e-17 -1.583501468772e-17 + 1893 3.466219408427e-11 1.475199783514e-12 -1.032315647109e-12 6.963303644735e-15 4.215540360076e-16 8.780775764314e-17 -1.586685582002e-17 + 1894 3.455882974708e-11 1.478383156933e-12 -1.049274518740e-12 6.954383678902e-15 4.205915895888e-16 8.828025539180e-17 -1.589700956082e-17 + 1895 3.445700884707e-11 1.481462469491e-12 -1.066452640856e-12 6.945484657450e-15 4.196317277307e-16 8.874725240796e-17 -1.592549494275e-17 + 1896 3.435674293962e-11 1.484435800389e-12 -1.083840632494e-12 6.936607139851e-15 4.186744416321e-16 8.920869433046e-17 -1.595233109603e-17 + 1897 3.425804361162e-11 1.487301221795e-12 -1.101429071146e-12 6.927751687535e-15 4.177197224109e-16 8.966452662971e-17 -1.597753724860e-17 + 1898 3.416092248151e-11 1.490056798840e-12 -1.119208492696e-12 6.918918863895e-15 4.167675611047e-16 9.011469460754e-17 -1.600113272622e-17 + 1899 3.406539119930e-11 1.492700589605e-12 -1.137169391368e-12 6.910109234290e-15 4.158179486699e-16 9.055914339697e-17 -1.602313695267e-17 + 1900 3.397146144662e-11 1.495230645113e-12 -1.155302219672e-12 6.901323366044e-15 4.148708759823e-16 9.099781796203e-17 -1.604356944982e-17 + 1901 3.387914493673e-11 1.497645009323e-12 -1.173597388343e-12 6.892561828452e-15 4.139263338365e-16 9.143066309756e-17 -1.606244983782e-17 + 1902 3.378845341458e-11 1.499941719118e-12 -1.192045266293e-12 6.883825192782e-15 4.129843129460e-16 9.185762342905e-17 -1.607979783519e-17 + 1903 3.369939865684e-11 1.502118804299e-12 -1.210636180547e-12 6.875114032273e-15 4.120448039428e-16 9.227864341238e-17 -1.609563325902e-17 + 1904 3.361199247191e-11 1.504174287572e-12 -1.229360416196e-12 6.866428922143e-15 4.111077973777e-16 9.269366733369e-17 -1.610997602502e-17 + 1905 3.352624669997e-11 1.506106184543e-12 -1.248208216332e-12 6.857770439589e-15 4.101732837198e-16 9.310263930915e-17 -1.612284614773e-17 + 1906 3.344217321303e-11 1.507912503710e-12 -1.267169782003e-12 6.849139163787e-15 4.092412533564e-16 9.350550328476e-17 -1.613426374063e-17 + 1907 3.335978391492e-11 1.509591246450e-12 -1.286235272147e-12 6.840535675899e-15 4.083116965932e-16 9.390220303621e-17 -1.614424901625e-17 + 1908 3.327909074138e-11 1.511140407013e-12 -1.305394803546e-12 6.831960559073e-15 4.073846036537e-16 9.429268216861e-17 -1.615282228636e-17 + 1909 3.320010160879e-11 1.512558351957e-12 -1.324638766221e-12 6.823414318521e-15 4.064599653448e-16 9.467689933728e-17 -1.616000223969e-17 + 1910 3.312280822658e-11 1.513844961650e-12 -1.343958772404e-12 6.814897141086e-15 4.055377750579e-16 9.505487403794e-17 -1.616580076051e-17 + 1911 3.304719819147e-11 1.515000497499e-12 -1.363346714731e-12 6.806409133837e-15 4.046180267828e-16 9.542664116714e-17 -1.617022807061e-17 + 1912 3.297325903016e-11 1.516025223310e-12 -1.382794451404e-12 6.797950403826e-15 4.037007144436e-16 9.579223583354e-17 -1.617329444817e-17 + 1913 3.290097819919e-11 1.516919405286e-12 -1.402293806143e-12 6.789521058087e-15 4.027858318984e-16 9.615169335822e-17 -1.617501022778e-17 + 1914 3.283034308488e-11 1.517683312034e-12 -1.421836568141e-12 6.781121203634e-15 4.018733729395e-16 9.650504927495e-17 -1.617538580060e-17 + 1915 3.276134100321e-11 1.518317214567e-12 -1.441414492019e-12 6.772750947466e-15 4.009633312932e-16 9.685233933053e-17 -1.617443161437e-17 + 1916 3.269395919971e-11 1.518821386308e-12 -1.461019297780e-12 6.764410396558e-15 4.000557006195e-16 9.719359948509e-17 -1.617215817354e-17 + 1917 3.262818484938e-11 1.519196103096e-12 -1.480642670766e-12 6.756099657870e-15 3.991504745123e-16 9.752886591240e-17 -1.616857603930e-17 + 1918 3.256400505660e-11 1.519441643186e-12 -1.500276261611e-12 6.747818838341e-15 3.982476464990e-16 9.785817500015e-17 -1.616369582971e-17 + 1919 3.250140685499e-11 1.519558287255e-12 -1.519911686195e-12 6.739568044889e-15 3.973472100405e-16 9.818156335030e-17 -1.615752821974e-17 + 1920 3.244037720736e-11 1.519546318404e-12 -1.539540525601e-12 6.731347384415e-15 3.964491585314e-16 9.849906777934e-17 -1.615008394139e-17 + 1921 3.238090300555e-11 1.519406022166e-12 -1.559154326071e-12 6.723156963797e-15 3.955534852992e-16 9.881072531864e-17 -1.614137378373e-17 + 1922 3.232297107039e-11 1.519137686504e-12 -1.578744598954e-12 6.714996889892e-15 3.946601836049e-16 9.911657321474e-17 -1.613140859299e-17 + 1923 3.226656815157e-11 1.518741601818e-12 -1.598302820669e-12 6.706867269540e-15 3.937692466425e-16 9.941664892964e-17 -1.612019927265e-17 + 1924 3.221168092754e-11 1.518218060947e-12 -1.617820432656e-12 6.698768209556e-15 3.928806675390e-16 9.971099014115e-17 -1.610775678352e-17 + 1925 3.215829600542e-11 1.517567359175e-12 -1.637288841331e-12 6.690699816734e-15 3.919944393542e-16 9.999963474313e-17 -1.609409214381e-17 + 1926 3.210639992089e-11 1.516789794234e-12 -1.656699418038e-12 6.682662197850e-15 3.911105550807e-16 1.002826208459e-16 -1.607921642921e-17 + 1927 3.205597913810e-11 1.515885666305e-12 -1.676043499011e-12 6.674655459652e-15 3.902290076439e-16 1.005599867763e-16 -1.606314077299e-17 + 1928 3.200702004956e-11 1.514855278024e-12 -1.695312385322e-12 6.666679708872e-15 3.893497899016e-16 1.008317710785e-16 -1.604587636605e-17 + 1929 3.195950897605e-11 1.513698934488e-12 -1.714497342840e-12 6.658735052215e-15 3.884728946441e-16 1.010980125138e-16 -1.602743445701e-17 + 1930 3.191343216652e-11 1.512416943253e-12 -1.733589602182e-12 6.650821596366e-15 3.875983145941e-16 1.013587500610e-16 -1.600782635229e-17 + 1931 3.186877579797e-11 1.511009614343e-12 -1.752580358671e-12 6.642939447985e-15 3.867260424064e-16 1.016140229170e-16 -1.598706341620e-17 + 1932 3.182552597538e-11 1.509477260251e-12 -1.771460772290e-12 6.635088713710e-15 3.858560706680e-16 1.018638704970e-16 -1.596515707102e-17 + 1933 3.178366873160e-11 1.507820195942e-12 -1.790221967637e-12 6.627269500154e-15 3.849883918979e-16 1.021083324346e-16 -1.594211879706e-17 + 1934 3.174319002724e-11 1.506038738860e-12 -1.808855033879e-12 6.619481913908e-15 3.841229985471e-16 1.023474485822e-16 -1.591796013274e-17 + 1935 3.170407575056e-11 1.504133208929e-12 -1.827351024706e-12 6.611726061538e-15 3.832598829983e-16 1.025812590116e-16 -1.589269267469e-17 + 1936 3.166631171743e-11 1.502103928557e-12 -1.845700958290e-12 6.604002049586e-15 3.823990375659e-16 1.028098040138e-16 -1.586632807784e-17 + 1937 3.162988367114e-11 1.499951222639e-12 -1.863895817233e-12 6.596309984568e-15 3.815404544959e-16 1.030331240998e-16 -1.583887805544e-17 + 1938 3.159477728237e-11 1.497675418564e-12 -1.881926548528e-12 6.588649972976e-15 3.806841259658e-16 1.032512600005e-16 -1.581035437921e-17 + 1939 3.156097814907e-11 1.495276846215e-12 -1.899784063511e-12 6.581022121277e-15 3.798300440844e-16 1.034642526673e-16 -1.578076887938e-17 + 1940 3.152847179636e-11 1.492755837975e-12 -1.917459237818e-12 6.573426535912e-15 3.789782008919e-16 1.036721432723e-16 -1.575013344477e-17 + 1941 3.149724367642e-11 1.490112728729e-12 -1.934942911334e-12 6.565863323297e-15 3.781285883596e-16 1.038749732084e-16 -1.571846002289e-17 + 1942 3.146727916838e-11 1.487347855869e-12 -1.952225888155e-12 6.558332589820e-15 3.772811983897e-16 1.040727840902e-16 -1.568576062000e-17 + 1943 3.143856357828e-11 1.484461559296e-12 -1.969298936539e-12 6.550834441846e-15 3.764360228156e-16 1.042656177535e-16 -1.565204730119e-17 + 1944 3.141108213890e-11 1.481454181429e-12 -1.986152788862e-12 6.543368985710e-15 3.755930534013e-16 1.044535162562e-16 -1.561733219049e-17 + 1945 3.138482000969e-11 1.478326067199e-12 -2.002778141571e-12 6.535936327723e-15 3.747522818417e-16 1.046365218785e-16 -1.558162747091e-17 + 1946 3.135976227668e-11 1.475077564062e-12 -2.019165655141e-12 6.528536574166e-15 3.739136997621e-16 1.048146771231e-16 -1.554494538452e-17 + 1947 3.133589395236e-11 1.471709021999e-12 -2.035305954029e-12 6.521169831295e-15 3.730772987186e-16 1.049880247154e-16 -1.550729823258e-17 + 1948 3.131319841579e-11 1.468221027535e-12 -2.051190621751e-12 6.513836141317e-15 3.722430707648e-16 1.051565945969e-16 -1.546869614483e-17 + 1949 3.129165272034e-11 1.464615107717e-12 -2.066815194377e-12 6.506535289806e-15 3.714110101586e-16 1.053203647968e-16 -1.542914036913e-17 + 1950 3.127123225047e-11 1.460893031432e-12 -2.082176189438e-12 6.499266996842e-15 3.705811116682e-16 1.054793002671e-16 -1.538862993158e-17 + 1951 3.125191227823e-11 1.457056575886e-12 -2.097270112831e-12 6.492030980893e-15 3.697533700057e-16 1.056333658624e-16 -1.534716386269e-17 + 1952 3.123366796309e-11 1.453107526612e-12 -2.112093458804e-12 6.484826958819e-15 3.689277798274e-16 1.057825263406e-16 -1.530474119739e-17 + 1953 3.121647435176e-11 1.449047677480e-12 -2.126642709943e-12 6.477654645865e-15 3.681043357336e-16 1.059267463621e-16 -1.526136097503e-17 + 1954 3.120030637811e-11 1.444878830712e-12 -2.140914337160e-12 6.470513755661e-15 3.672830322681e-16 1.060659904900e-16 -1.521702223941e-17 + 1955 3.118513886293e-11 1.440602796889e-12 -2.154904799676e-12 6.463404000219e-15 3.664638639187e-16 1.062002231901e-16 -1.517172403876e-17 + 1956 3.117094651388e-11 1.436221394966e-12 -2.168610545010e-12 6.456325089930e-15 3.656468251167e-16 1.063294088306e-16 -1.512546542576e-17 + 1957 3.115770392527e-11 1.431736452280e-12 -2.182028008963e-12 6.449276733563e-15 3.648319102370e-16 1.064535116820e-16 -1.507824545758e-17 + 1958 3.114538557792e-11 1.427149804562e-12 -2.195153615608e-12 6.442258638261e-15 3.640191135978e-16 1.065724959172e-16 -1.503006319584e-17 + 1959 3.113396583904e-11 1.422463295948e-12 -2.207983777272e-12 6.435270509542e-15 3.632084294609e-16 1.066863256112e-16 -1.498091770664e-17 + 1960 3.112341896207e-11 1.417678778992e-12 -2.220514894524e-12 6.428312051292e-15 3.623998520313e-16 1.067949647410e-16 -1.493080806058e-17 + 1961 3.111371908650e-11 1.412798114673e-12 -2.232743356161e-12 6.421382965767e-15 3.615933754570e-16 1.068983771855e-16 -1.487973333275e-17 + 1962 3.110484023778e-11 1.407823172411e-12 -2.244665539197e-12 6.414482953587e-15 3.607889938294e-16 1.069965267255e-16 -1.482769260276e-17 + 1963 3.109675632710e-11 1.402755830075e-12 -2.256277808843e-12 6.407611713739e-15 3.599867011827e-16 1.070893770437e-16 -1.477468495474e-17 + 1964 3.108944115132e-11 1.397597973994e-12 -2.267576518500e-12 6.400768943567e-15 3.591864914941e-16 1.071768917243e-16 -1.472070947732e-17 + 1965 3.108286839274e-11 1.392351498969e-12 -2.278558009742e-12 6.393954338777e-15 3.583883586836e-16 1.072590342529e-16 -1.466576526370e-17 + 1966 3.107701161900e-11 1.387018308284e-12 -2.289218612302e-12 6.387167593431e-15 3.575922966138e-16 1.073357680166e-16 -1.460985141160e-17 + 1967 3.107184428295e-11 1.381600313718e-12 -2.299554644059e-12 6.380408399945e-15 3.567982990903e-16 1.074070563041e-16 -1.455296702331e-17 + 1968 3.106733972243e-11 1.376099435553e-12 -2.309562411023e-12 6.373676449088e-15 3.560063598609e-16 1.074728623049e-16 -1.449511120567e-17 + 1969 3.106347116018e-11 1.370517602591e-12 -2.319238207326e-12 6.366971429977e-15 3.552164726160e-16 1.075331491098e-16 -1.443628307009e-17 + 1970 3.106021170368e-11 1.364856752158e-12 -2.328578315200e-12 6.360293030079e-15 3.544286309885e-16 1.075878797107e-16 -1.437648173259e-17 + 1971 3.105753434498e-11 1.359118830118e-12 -2.337579004971e-12 6.353640935204e-15 3.536428285533e-16 1.076370170003e-16 -1.431570631374e-17 + 1972 3.105541196058e-11 1.353305790888e-12 -2.346236535042e-12 6.347014829506e-15 3.528590588278e-16 1.076805237721e-16 -1.425395593874e-17 + 1973 3.105381731126e-11 1.347419597443e-12 -2.354547151879e-12 6.340414395479e-15 3.520773152714e-16 1.077183627203e-16 -1.419122973738e-17 + 1974 3.105272304194e-11 1.341462221329e-12 -2.362507089996e-12 6.333839313957e-15 3.512975912855e-16 1.077504964397e-16 -1.412752684409e-17 + 1975 3.105210168150e-11 1.335435642678e-12 -2.370112571946e-12 6.327289264108e-15 3.505198802133e-16 1.077768874257e-16 -1.406284639789e-17 + 1976 3.105192564271e-11 1.329341850213e-12 -2.377359808303e-12 6.320763923435e-15 3.497441753401e-16 1.077974980738e-16 -1.399718754247e-17 + 1977 3.105216722198e-11 1.323182841264e-12 -2.384244997649e-12 6.314262967772e-15 3.489704698928e-16 1.078122906801e-16 -1.393054942614e-17 + 1978 3.105279859930e-11 1.316960621775e-12 -2.390764326562e-12 6.307786071283e-15 3.481987570399e-16 1.078212274407e-16 -1.386293120189e-17 + 1979 3.105379183801e-11 1.310677206318e-12 -2.396913969598e-12 6.301332906456e-15 3.474290298916e-16 1.078242704518e-16 -1.379433202735e-17 + 1980 3.105511888474e-11 1.304334618105e-12 -2.402690089285e-12 6.294903144107e-15 3.466612814996e-16 1.078213817095e-16 -1.372475106484e-17 + 1981 3.105675156917e-11 1.297934888996e-12 -2.408088836101e-12 6.288496453372e-15 3.458955048568e-16 1.078125231100e-16 -1.365418748134e-17 + 1982 3.105866160395e-11 1.291480059510e-12 -2.413106348465e-12 6.282112501709e-15 3.451316928977e-16 1.077976564490e-16 -1.358264044854e-17 + 1983 3.106082058452e-11 1.284972178841e-12 -2.417738752722e-12 6.275750954892e-15 3.443698384976e-16 1.077767434220e-16 -1.351010914281e-17 + 1984 3.106319998895e-11 1.278413304862e-12 -2.421982163130e-12 6.269411477010e-15 3.436099344734e-16 1.077497456240e-16 -1.343659274526e-17 + 1985 3.106577117783e-11 1.271805504142e-12 -2.425832681845e-12 6.263093730467e-15 3.428519735826e-16 1.077166245494e-16 -1.336209044168e-17 + 1986 3.106850539409e-11 1.265150851955e-12 -2.429286398907e-12 6.256797375975e-15 3.420959485238e-16 1.076773415920e-16 -1.328660142260e-17 + 1987 3.107137506549e-11 1.258451424726e-12 -2.432340407961e-12 6.250522056139e-15 3.413418524206e-16 1.076318767246e-16 -1.321012135265e-17 + 1988 3.107435772297e-11 1.251709277287e-12 -2.434995861623e-12 6.244267346057e-15 3.405896802759e-16 1.075802846883e-16 -1.313263175009e-17 + 1989 3.107743211085e-11 1.244926465479e-12 -2.437254938590e-12 6.238032802351e-15 3.398394275285e-16 1.075226392170e-16 -1.305411052907e-17 + 1990 3.108057688676e-11 1.238105053706e-12 -2.439119829968e-12 6.231817979545e-15 3.390910895689e-16 1.074590143953e-16 -1.297453552305e-17 + 1991 3.108377062146e-11 1.231247114952e-12 -2.440592739294e-12 6.225622430066e-15 3.383446617403e-16 1.073894846595e-16 -1.289388448472e-17 + 1992 3.108699179880e-11 1.224354730786e-12 -2.441675882547e-12 6.219445704237e-15 3.376001393378e-16 1.073141247977e-16 -1.281213508589e-17 + 1993 3.109021881554e-11 1.217429991378e-12 -2.442371488167e-12 6.213287350281e-15 3.368575176085e-16 1.072330099503e-16 -1.272926491741e-17 + 1994 3.109342998130e-11 1.210474995507e-12 -2.442681797075e-12 6.207146914311e-15 3.361167917517e-16 1.071462156105e-16 -1.264525148904e-17 + 1995 3.109660351843e-11 1.203491850572e-12 -2.442609062685e-12 6.201023940330e-15 3.353779569184e-16 1.070538176250e-16 -1.256007222939e-17 + 1996 3.109971756189e-11 1.196482672604e-12 -2.442155550927e-12 6.194917970232e-15 3.346410082117e-16 1.069558921939e-16 -1.247370448579e-17 + 1997 3.110275015913e-11 1.189449586276e-12 -2.441323540260e-12 6.188828543791e-15 3.339059406862e-16 1.068525158718e-16 -1.238612552423e-17 + 1998 3.110567927003e-11 1.182394724915e-12 -2.440115321688e-12 6.182755198666e-15 3.331727493483e-16 1.067437655679e-16 -1.229731252920e-17 + 1999 3.110848276673e-11 1.175320230511e-12 -2.438533198782e-12 6.176697470394e-15 3.324414291561e-16 1.066297185465e-16 -1.220724260366e-17 + 2000 3.111113843358e-11 1.168228253728e-12 -2.436579487693e-12 6.170654892388e-15 3.317119750191e-16 1.065104524275e-16 -1.211589276889e-17 + 2001 3.111362396698e-11 1.161120953917e-12 -2.434256517172e-12 6.164626995936e-15 3.309843817983e-16 1.063860451868e-16 -1.202323996444e-17 + 2002 3.111591697528e-11 1.154000499126e-12 -2.431566628583e-12 6.158613310195e-15 3.302586443063e-16 1.062565751570e-16 -1.192926104796e-17 + 2003 3.111799497870e-11 1.146869066110e-12 -2.428512175927e-12 6.152613362191e-15 3.295347573066e-16 1.061221210276e-16 -1.183393279519e-17 + 2004 3.111983540920e-11 1.139728840340e-12 -2.425095525850e-12 6.146626676814e-15 3.288127155144e-16 1.059827618455e-16 -1.173723189980e-17 + 2005 3.112141561036e-11 1.132582016021e-12 -2.421319057669e-12 6.140652776817e-15 3.280925135957e-16 1.058385770155e-16 -1.163913497331e-17 + 2006 3.112271283728e-11 1.125430796093e-12 -2.417185163382e-12 6.134691182813e-15 3.273741461678e-16 1.056896463009e-16 -1.153961854499e-17 + 2007 3.112370425650e-11 1.118277392251e-12 -2.412696247692e-12 6.128741413271e-15 3.266576077989e-16 1.055360498238e-16 -1.143865906177e-17 + 2008 3.112436694583e-11 1.111124024949e-12 -2.407854728016e-12 6.122802984513e-15 3.259428930083e-16 1.053778680656e-16 -1.133623288812e-17 + 2009 3.112467789429e-11 1.103972923414e-12 -2.402663034509e-12 6.116875410715e-15 3.252299962659e-16 1.052151818674e-16 -1.123231630600e-17 + 2010 3.112461400197e-11 1.096826325659e-12 -2.397123610080e-12 6.110958203898e-15 3.245189119927e-16 1.050480724306e-16 -1.112688551469e-17 + 2011 3.112415207996e-11 1.089686478487e-12 -2.391238910404e-12 6.105050873931e-15 3.238096345602e-16 1.048766213174e-16 -1.101991663075e-17 + 2012 3.112326885020e-11 1.082555637511e-12 -2.385011403947e-12 6.099152928524e-15 3.231021582905e-16 1.047009104508e-16 -1.091138568792e-17 + 2013 3.112194094537e-11 1.075436067157e-12 -2.378443571975e-12 6.093263873228e-15 3.223964774566e-16 1.045210221159e-16 -1.080126863696e-17 + 2014 3.112014490881e-11 1.068330040678e-12 -2.371537908577e-12 6.087383211432e-15 3.216925862816e-16 1.043370389596e-16 -1.068954134565e-17 + 2015 3.111785719441e-11 1.061239840166e-12 -2.364296920681e-12 6.081510444356e-15 3.209904789393e-16 1.041490439914e-16 -1.057617959859e-17 + 2016 3.111505416647e-11 1.054167756562e-12 -2.356723128070e-12 6.075645071055e-15 3.202901495536e-16 1.039571205837e-16 -1.046115909718e-17 + 2017 3.111171209960e-11 1.047116089665e-12 -2.348819063398e-12 6.069786588411e-15 3.195915921988e-16 1.037613524727e-16 -1.034445545949e-17 + 2018 3.110780717863e-11 1.040087148145e-12 -2.340587272210e-12 6.063934491134e-15 3.188948008994e-16 1.035618237582e-16 -1.022604422015e-17 + 2019 3.110331549849e-11 1.033083249555e-12 -2.332030312957e-12 6.058088271753e-15 3.181997696301e-16 1.033586189045e-16 -1.010590083027e-17 + 2020 3.109821306410e-11 1.026106720338e-12 -2.323150757015e-12 6.052247420622e-15 3.175064923153e-16 1.031518227409e-16 -9.984000657351e-18 + 2021 3.109247579023e-11 1.019159895841e-12 -2.313951188699e-12 6.046411425910e-15 3.168149628298e-16 1.029415204620e-16 -9.860318985152e-18 + 2022 3.108607950146e-11 1.012245120324e-12 -2.304434205282e-12 6.040579773602e-15 3.161251749980e-16 1.027277976279e-16 -9.734831013627e-18 + 2023 3.107899993201e-11 1.005364746974e-12 -2.294602417016e-12 6.034751947492e-15 3.154371225942e-16 1.025107401653e-16 -9.607511858811e-18 + 2024 3.107121272564e-11 9.985211379096e-13 -2.284458447141e-12 6.028927429188e-15 3.147507993425e-16 1.022904343675e-16 -9.478336552723e-18 + 2025 3.106269343558e-11 9.917166642001e-13 -2.274004931907e-12 6.023105698101e-15 3.140661989165e-16 1.020669668950e-16 -9.347280043266e-18 + 2026 3.105342042968e-11 9.849535063301e-13 -2.263245015566e-12 6.017286263798e-15 3.133833153527e-16 1.018404037445e-16 -9.214337966662e-18 + 2027 3.104338362929e-11 9.782330540173e-13 -2.252183839208e-12 6.011468763312e-15 3.127021442929e-16 1.016107269892e-16 -9.079589128984e-18 + 2028 3.103257583330e-11 9.715565020825e-13 -2.240827062716e-12 6.005652864529e-15 3.120226817505e-16 1.013778975825e-16 -8.943133475825e-18 + 2029 3.102098981857e-11 9.649250496009e-13 -2.229180370796e-12 5.999838233898e-15 3.113449236978e-16 1.011418763476e-16 -8.805071361268e-18 + 2030 3.100861833990e-11 9.583398999069e-13 -2.217249473011e-12 5.994024536428e-15 3.106688660666e-16 1.009026239776e-16 -8.665503548390e-18 + 2031 3.099545412998e-11 9.518022605992e-13 -2.205040103812e-12 5.988211435689e-15 3.099945047475e-16 1.006601010351e-16 -8.524531209772e-18 + 2032 3.098148989938e-11 9.453133435461e-13 -2.192558022570e-12 5.982398593807e-15 3.093218355901e-16 1.004142679520e-16 -8.382255928008e-18 + 2033 3.096671833653e-11 9.388743648902e-13 -2.179809013608e-12 5.976585671466e-15 3.086508544030e-16 1.001650850298e-16 -8.238779696214e-18 + 2034 3.095113210770e-11 9.324865450534e-13 -2.166798886230e-12 5.970772327900e-15 3.079815569536e-16 9.991251243891e-17 -8.094204918538e-18 + 2035 3.093472385695e-11 9.261511087424e-13 -2.153533474757e-12 5.964958220898e-15 3.073139389682e-16 9.965651021886e-17 -7.948634410665e-18 + 2036 3.091748620612e-11 9.198692849533e-13 -2.140018638556e-12 5.959143006798e-15 3.066479961315e-16 9.939703827794e-17 -7.802171400329e-18 + 2037 3.089941175484e-11 9.136423069767e-13 -2.126260262068e-12 5.953326340487e-15 3.059837240874e-16 9.913405639317e-17 -7.654919527822e-18 + 2038 3.088049308043e-11 9.074714124029e-13 -2.112264254848e-12 5.947507875396e-15 3.053211184378e-16 9.886752421011e-17 -7.506982846501e-18 + 2039 3.086072273794e-11 9.013578431269e-13 -2.098036551589e-12 5.941687263504e-15 3.046601747437e-16 9.859740124268e-17 -7.358465823298e-18 + 2040 3.084009326011e-11 8.953028453532e-13 -2.083583112157e-12 5.935864155329e-15 3.040008885242e-16 9.832364687307e-17 -7.209473339228e-18 + 2041 3.081859715732e-11 8.893076696010e-13 -2.068909921623e-12 5.930038199933e-15 3.033432552569e-16 9.804622035151e-17 -7.060110689899e-18 + 2042 3.079622691760e-11 8.833735707095e-13 -2.054022990293e-12 5.924209044914e-15 3.026872703779e-16 9.776508079622e-17 -6.910483586020e-18 + 2043 3.077297500658e-11 8.775018078424e-13 -2.038928353739e-12 5.918376336411e-15 3.020329292813e-16 9.748018719315e-17 -6.760698153910e-18 + 2044 3.074883386747e-11 8.716936444934e-13 -2.023632072834e-12 5.912539719094e-15 3.013802273198e-16 9.719149839592e-17 -6.610860936005e-18 + 2045 3.072379592105e-11 8.659503484910e-13 -2.008140233779e-12 5.906698836169e-15 3.007291598040e-16 9.689897312560e-17 -6.461078891372e-18 + 2046 3.069785356563e-11 8.602731920034e-13 -1.992458948139e-12 5.900853329372e-15 3.000797220026e-16 9.660256997060e-17 -6.311459396212e-18 + 2047 3.067099917704e-11 8.546634515441e-13 -1.976594352871e-12 5.895002838971e-15 2.994319091425e-16 9.630224738652e-17 -6.162110244371e-18 + 2048 3.064322510859e-11 8.491224079761e-13 -1.960552610359e-12 5.889147003760e-15 2.987857164084e-16 9.599796369596e-17 -6.013139647850e-18 + 2049 3.061452369105e-11 8.436513465178e-13 -1.944339908441e-12 5.883285461059e-15 2.981411389429e-16 9.568967708841e-17 -5.864656237314e-18 + 2050 3.058488723262e-11 8.382515567473e-13 -1.927962460445e-12 5.877417846712e-15 2.974981718467e-16 9.537734562009e-17 -5.716769062596e-18 + 2051 3.055430801892e-11 8.329243326081e-13 -1.911426505219e-12 5.871543795088e-15 2.968568101781e-16 9.506092721378e-17 -5.569587593213e-18 + 2052 3.052277831296e-11 8.276709724134e-13 -1.894738307162e-12 5.865662939072e-15 2.962170489531e-16 9.474037965868e-17 -5.423221718869e-18 + 2053 3.049029035511e-11 8.224927788518e-13 -1.877904156256e-12 5.859774910072e-15 2.955788831453e-16 9.441566061027e-17 -5.277781749969e-18 + 2054 3.045683636308e-11 8.173910589920e-13 -1.860930368098e-12 5.853879338009e-15 2.949423076861e-16 9.408672759014e-17 -5.133378418121e-18 + 2055 3.042240853189e-11 8.123671242878e-13 -1.843823283929e-12 5.847975851321e-15 2.943073174644e-16 9.375353798584e-17 -4.990122876651e-18 + 2056 3.038699903385e-11 8.074222905834e-13 -1.826589270672e-12 5.842064076959e-15 2.936739073263e-16 9.341604905075e-17 -4.848126701110e-18 + 2057 3.035060001854e-11 8.025578781183e-13 -1.809234720956e-12 5.836143640385e-15 2.930420720757e-16 9.307421790392e-17 -4.707501889782e-18 + 2058 3.031320361276e-11 7.977752115319e-13 -1.791766053151e-12 5.830214165570e-15 2.924118064735e-16 9.272800152989e-17 -4.568360864192e-18 + 2059 3.027480192055e-11 7.930756198695e-13 -1.774189711402e-12 5.824275274993e-15 2.917831052381e-16 9.237735677858e-17 -4.430816469616e-18 + 2060 3.023538702313e-11 7.884604365864e-13 -1.756512165655e-12 5.818326589637e-15 2.911559630450e-16 9.202224036512e-17 -4.294981975592e-18 + 2061 3.019495097889e-11 7.839309995534e-13 -1.738739911694e-12 5.812367728992e-15 2.905303745269e-16 9.166260886969e-17 -4.160971076425e-18 + 2062 3.015348582335e-11 7.794886510617e-13 -1.720879471170e-12 5.806398311047e-15 2.899063342737e-16 9.129841873738e-17 -4.028897891698e-18 + 2063 3.011098356915e-11 7.751347378282e-13 -1.702937391630e-12 5.800417952292e-15 2.892838368321e-16 9.092962627804e-17 -3.898876966778e-18 + 2064 3.006743620602e-11 7.708706110000e-13 -1.684920246557e-12 5.794426267715e-15 2.886628767060e-16 9.055618766614e-17 -3.771023273331e-18 + 2065 3.002283837102e-11 7.666973769736e-13 -1.666834447565e-12 5.788422926105e-15 2.880434487092e-16 9.017810109613e-17 -3.645418271313e-18 + 2066 2.997719537984e-11 7.626151479100e-13 -1.648685679511e-12 5.782407816377e-15 2.874255490285e-16 8.979553357562e-17 -3.522007830986e-18 + 2067 2.993051525238e-11 7.586237859168e-13 -1.630479461448e-12 5.776380882423e-15 2.868091741679e-16 8.940869503068e-17 -3.400703588347e-18 + 2068 2.988280604770e-11 7.547231517500e-13 -1.612221334110e-12 5.770342067912e-15 2.861943205965e-16 8.901779623293e-17 -3.281416817502e-18 + 2069 2.983407586409e-11 7.509131048125e-13 -1.593916859943e-12 5.764291316292e-15 2.855809847484e-16 8.862304880058e-17 -3.164058430221e-18 + 2070 2.978433283908e-11 7.471935031518e-13 -1.575571623128e-12 5.758228570789e-15 2.849691630224e-16 8.822466519945e-17 -3.048538975487e-18 + 2071 2.973358514955e-11 7.435642034581e-13 -1.557191229609e-12 5.752153774405e-15 2.843588517821e-16 8.782285874400e-17 -2.934768639059e-18 + 2072 2.968184101172e-11 7.400250610622e-13 -1.538781307117e-12 5.746066869922e-15 2.837500473558e-16 8.741784359839e-17 -2.822657243017e-18 + 2073 2.962910868125e-11 7.365759299338e-13 -1.520347505200e-12 5.739967799897e-15 2.831427460365e-16 8.700983477750e-17 -2.712114245322e-18 + 2074 2.957539645326e-11 7.332166626793e-13 -1.501895495247e-12 5.733856506663e-15 2.825369440819e-16 8.659904814797e-17 -2.603048739370e-18 + 2075 2.952071266239e-11 7.299471105399e-13 -1.483430970514e-12 5.727732932332e-15 2.819326377142e-16 8.618570042920e-17 -2.495369453542e-18 + 2076 2.946506568285e-11 7.267671233896e-13 -1.464959646150e-12 5.721597018791e-15 2.813298231201e-16 8.577000919445e-17 -2.388984750764e-18 + 2077 2.940846392848e-11 7.236765497334e-13 -1.446487259225e-12 5.715448707702e-15 2.807284964507e-16 8.535219287182e-17 -2.283802628057e-18 + 2078 2.935091585278e-11 7.206752367050e-13 -1.428019568757e-12 5.709287940503e-15 2.801286538216e-16 8.493247074530e-17 -2.179730716091e-18 + 2079 2.929242994898e-11 7.177630300651e-13 -1.409562355734e-12 5.703114658408e-15 2.795302913129e-16 8.451106295581e-17 -2.076676278744e-18 + 2080 2.923301475007e-11 7.149397741992e-13 -1.391121423145e-12 5.696928802405e-15 2.789334049686e-16 8.408819050225e-17 -1.974546212649e-18 + 2081 2.917267882887e-11 7.122053121159e-13 -1.372702596003e-12 5.690730313256e-15 2.783379907975e-16 8.366407524248e-17 -1.873247046756e-18 + 2082 2.911143079809e-11 7.095594854447e-13 -1.354311721374e-12 5.684519131500e-15 2.777440447720e-16 8.323893989442e-17 -1.772684941880e-18 + 2083 2.904927931034e-11 7.070021344342e-13 -1.335954668402e-12 5.678295197448e-15 2.771515628291e-16 8.281300803704e-17 -1.672765690258e-18 + 2084 2.898623305821e-11 7.045330979499e-13 -1.317637328333e-12 5.672058451185e-15 2.765605408697e-16 8.238650411142e-17 -1.573394715103e-18 + 2085 2.892230077432e-11 7.021522134725e-13 -1.299365614547e-12 5.665808832569e-15 2.759709747587e-16 8.195965342176e-17 -1.474477070158e-18 + 2086 2.885749123136e-11 6.998593170957e-13 -1.281145462578e-12 5.659546281233e-15 2.753828603252e-16 8.153268213645e-17 -1.375917439249e-18 + 2087 2.879181324215e-11 6.976542435243e-13 -1.262982830144e-12 5.653270736580e-15 2.747961933619e-16 8.110581728906e-17 -1.277620135843e-18 + 2088 2.872527565968e-11 6.955368260722e-13 -1.244883697174e-12 5.646982137790e-15 2.742109696258e-16 8.067928677942e-17 -1.179489102596e-18 + 2089 2.865788737717e-11 6.935068966606e-13 -1.226854065829e-12 5.640680423810e-15 2.736271848372e-16 8.025331937460e-17 -1.081427910915e-18 + 2090 2.858965732812e-11 6.915642858157e-13 -1.208899960537e-12 5.634365533363e-15 2.730448346807e-16 7.982814471001e-17 -9.833397605049e-19 + 2091 2.852059448635e-11 6.897088226672e-13 -1.191027428011e-12 5.628037404942e-15 2.724639148043e-16 7.940399329038e-17 -8.851274789266e-19 + 2092 2.845070786607e-11 6.879403349457e-13 -1.173242537280e-12 5.621695976812e-15 2.718844208197e-16 7.898109649082e-17 -7.866935211507e-19 + 2093 2.838000652190e-11 6.862586489814e-13 -1.155551379712e-12 5.615341187009e-15 2.713063483023e-16 7.855968655786e-17 -6.879399691115e-19 + 2094 2.830849954896e-11 6.846635897015e-13 -1.137960069045e-12 5.608972973338e-15 2.707296927911e-16 7.813999661047e-17 -5.887685312611e-19 + 2095 2.823619608289e-11 6.831549806287e-13 -1.120474741409e-12 5.602591273378e-15 2.701544497884e-16 7.772226064108e-17 -4.890805421235e-19 + 2096 2.816310529989e-11 6.817326438789e-13 -1.103101555354e-12 5.596196024475e-15 2.695806147602e-16 7.730671351665e-17 -3.887769618491e-19 + 2097 2.808923641682e-11 6.803964001596e-13 -1.085846691877e-12 5.589787163748e-15 2.690081831357e-16 7.689359097969e-17 -2.877583757690e-19 + 2098 2.801459869122e-11 6.791460687674e-13 -1.068716354446e-12 5.583364628083e-15 2.684371503076e-16 7.648312964929e-17 -1.859249939487e-19 + 2099 2.793920142133e-11 6.779814675866e-13 -1.051716769030e-12 5.576928354135e-15 2.678675116318e-16 7.607556702216e-17 -8.317665074276e-20 + 2100 2.786305394620e-11 6.769024130869e-13 -1.034854184119e-12 5.570478278332e-15 2.672992624275e-16 7.567114147364e-17 2.058719565114e-20 + 2101 2.778616564570e-11 6.759087203212e-13 -1.018134870760e-12 5.564014336866e-15 2.667323979770e-16 7.527009225879e-17 1.254674636380e-19 + 2102 2.770854594060e-11 6.750002029242e-13 -1.001565122573e-12 5.557536465701e-15 2.661669135259e-16 7.487265951336e-17 2.315654486712e-19 + 2103 2.763020429257e-11 6.741766731101e-13 -9.851512557834e-13 5.551044600567e-15 2.656028042827e-16 7.447908425486e-17 3.389828236985e-19 + 2104 2.755115129741e-11 6.734377835437e-13 -9.688989734301e-13 5.544538720860e-15 2.650400657218e-16 7.408953278758e-17 4.477918978579e-19 + 2105 2.747140197266e-11 6.727825517559e-13 -9.528114531016e-13 5.538018981668e-15 2.644786944936e-16 7.370386934057e-17 5.579461655024e-19 + 2106 2.739097249297e-11 6.722098324157e-13 -9.368912459473e-13 5.531485582662e-15 2.639186875205e-16 7.332188184991e-17 6.693691357282e-19 + 2107 2.730987909908e-11 6.717184751502e-13 -9.211409112964e-13 5.524938724284e-15 2.633600416948e-16 7.294335741006e-17 7.819840172622e-19 + 2108 2.722813809792e-11 6.713073245385e-13 -9.055630166669e-13 5.518378607745e-15 2.628027538783e-16 7.256808227288e-17 8.957137181012e-19 + 2109 2.714576586271e-11 6.709752201053e-13 -8.901601377746e-13 5.511805435029e-15 2.622468209028e-16 7.219584184659e-17 1.010480845152e-18 + 2110 2.706277883302e-11 6.707209963146e-13 -8.749348585421e-13 5.505219408894e-15 2.616922395695e-16 7.182642069479e-17 1.126207703872e-18 + 2111 2.697919351484e-11 6.705434825638e-13 -8.598897711081e-13 5.498620732871e-15 2.611390066494e-16 7.145960253539e-17 1.242816297908e-18 + 2112 2.689502648069e-11 6.704415031769e-13 -8.450274758365e-13 5.492009611263e-15 2.605871188830e-16 7.109517023967e-17 1.360228328736e-18 + 2113 2.681029436968e-11 6.704138773989e-13 -8.303505813251e-13 5.485386249153e-15 2.600365729802e-16 7.073290583120e-17 1.478365195305e-18 + 2114 2.672501388760e-11 6.704594193887e-13 -8.158617044150e-13 5.478750852397e-15 2.594873656205e-16 7.037259048487e-17 1.597147993669e-18 + 2115 2.663920180698e-11 6.705769382136e-13 -8.015634701995e-13 5.472103627629e-15 2.589394934528e-16 7.001400452586e-17 1.716497516637e-18 + 2116 2.655287496721e-11 6.707652378428e-13 -7.874585120334e-13 5.465444782263e-15 2.583929530954e-16 6.965692742862e-17 1.836334253404e-18 + 2117 2.646605027456e-11 6.710231171410e-13 -7.735494715419e-13 5.458774524489e-15 2.578477411360e-16 6.930113781587e-17 1.956578389197e-18 + 2118 2.637874470232e-11 6.713493698621e-13 -7.598389986295e-13 5.452093063278e-15 2.573038541314e-16 6.894641345757e-17 2.077149804910e-18 + 2119 2.629097529086e-11 6.717427846434e-13 -7.463297514895e-13 5.445400608384e-15 2.567612886079e-16 6.859253126992e-17 2.197968076749e-18 + 2120 2.620275914768e-11 6.722021449986e-13 -7.330243966128e-13 5.438697370341e-15 2.562200410608e-16 6.823926731434e-17 2.318952475868e-18 + 2121 2.611411344754e-11 6.727262293124e-13 -7.199256087968e-13 5.431983560464e-15 2.556801079547e-16 6.788639679647e-17 2.440021968013e-18 + 2122 2.602505543250e-11 6.733138108335e-13 -7.070360711550e-13 5.425259390855e-15 2.551414857232e-16 6.753369406512e-17 2.561095213155e-18 + 2123 2.593560241202e-11 6.739636576688e-13 -6.943584751255e-13 5.418525074398e-15 2.546041707690e-16 6.718093261130e-17 2.682090565139e-18 + 2124 2.584577176303e-11 6.746745327768e-13 -6.818955204805e-13 5.411780824762e-15 2.540681594640e-16 6.682788506719e-17 2.802926071317e-18 + 2125 2.575558093003e-11 6.754451939618e-13 -6.696499153352e-13 5.405026856405e-15 2.535334481489e-16 6.647432320510e-17 2.923519472190e-18 + 2126 2.566504742515e-11 6.762743938671e-13 -6.576243761567e-13 5.398263384569e-15 2.530000331333e-16 6.612001793651e-17 3.043788201049e-18 + 2127 2.557418882822e-11 6.771608799692e-13 -6.458216277735e-13 5.391490625286e-15 2.524679106958e-16 6.576473931099e-17 3.163649383613e-18 + 2128 2.548302278688e-11 6.781033945712e-13 -6.342444033841e-13 5.384708795376e-15 2.519370770839e-16 6.540825651525e-17 3.283019837673e-18 + 2129 2.539156701665e-11 6.791006747969e-13 -6.228954445664e-13 5.377918112449e-15 2.514075285137e-16 6.505033787208e-17 3.401816072726e-18 + 2130 2.529983930099e-11 6.801514525842e-13 -6.117775012867e-13 5.371118794905e-15 2.508792611702e-16 6.469075083937e-17 3.519954289619e-18 + 2131 2.520785749142e-11 6.812544546789e-13 -6.008933319086e-13 5.364311061937e-15 2.503522712072e-16 6.432926200907e-17 3.637350380188e-18 + 2132 2.511563950755e-11 6.824084026287e-13 -5.902457032025e-13 5.357495133530e-15 2.498265547469e-16 6.396563710618e-17 3.753919926898e-18 + 2133 2.502320333720e-11 6.836120127766e-13 -5.798373903541e-13 5.350671230461e-15 2.493021078804e-16 6.359964098776e-17 3.869578202483e-18 + 2134 2.493056703647e-11 6.848639962549e-13 -5.696711769738e-13 5.343839574303e-15 2.487789266672e-16 6.323103764189e-17 3.984240169586e-18 + 2135 2.483774872980e-11 6.861630589788e-13 -5.597498551059e-13 5.337000387424e-15 2.482570071355e-16 6.285959018666e-17 4.097820480398e-18 + 2136 2.474476661009e-11 6.875079016402e-13 -5.500762252373e-13 5.330153892986e-15 2.477363452817e-16 6.248506086917e-17 4.210233476299e-18 + 2137 2.465163893873e-11 6.888972197015e-13 -5.406530963069e-13 5.323300314951e-15 2.472169370710e-16 6.210721106450e-17 4.321393187497e-18 + 2138 2.455838404573e-11 6.903297033891e-13 -5.314832857145e-13 5.316439878077e-15 2.466987784367e-16 6.172580127471e-17 4.431213332671e-18 + 2139 2.446502032976e-11 6.918040376875e-13 -5.225696193300e-13 5.309572807920e-15 2.461818652806e-16 6.134059112782e-17 4.539607318605e-18 + 2140 2.437156625825e-11 6.933189023326e-13 -5.139149315023e-13 5.302699330838e-15 2.456661934729e-16 6.095133937679e-17 4.646488239833e-18 + 2141 2.427804036748e-11 6.948729718060e-13 -5.055220650685e-13 5.295819673988e-15 2.451517588518e-16 6.055780389852e-17 4.751768878280e-18 + 2142 2.418446126263e-11 6.964649153283e-13 -4.973938713629e-13 5.288934065327e-15 2.446385572240e-16 6.015974169282e-17 4.855361702895e-18 + 2143 2.409084689226e-11 6.980933945815e-13 -4.895325431562e-13 5.282042744767e-15 2.441265846245e-16 5.975698081156e-17 4.957191691043e-18 + 2144 2.399721236604e-11 6.997570568722e-13 -4.819376084733e-13 5.275145997696e-15 2.436158380991e-16 5.934963668505e-17 5.057234889105e-18 + 2145 2.390357212229e-11 7.014545419090e-13 -4.746079230897e-13 5.268244121685e-15 2.431063149275e-16 5.893789727133e-17 5.155480114562e-18 + 2146 2.380994065226e-11 7.031844840640e-13 -4.675423363484e-13 5.261337415360e-15 2.425980123633e-16 5.852195126107e-17 5.251916158138e-18 + 2147 2.371633250024e-11 7.049455123659e-13 -4.607396911519e-13 5.254426178404e-15 2.420909276337e-16 5.810198807844e-17 5.346531783779e-18 + 2148 2.362276226358e-11 7.067362504940e-13 -4.541988239539e-13 5.247510711557e-15 2.415850579400e-16 5.767819788192e-17 5.439315728623e-18 + 2149 2.352924459279e-11 7.085553167718e-13 -4.479185647507e-13 5.240591316618e-15 2.410804004569e-16 5.725077156524e-17 5.530256702982e-18 + 2150 2.343579419158e-11 7.104013241605e-13 -4.418977370728e-13 5.233668296444e-15 2.405769523333e-16 5.681990075821e-17 5.619343390307e-18 + 2151 2.334242581690e-11 7.122728802532e-13 -4.361351579771e-13 5.226741954956e-15 2.400747106913e-16 5.638577782756e-17 5.706564447170e-18 + 2152 2.324915427905e-11 7.141685872678e-13 -4.306296380378e-13 5.219812597134e-15 2.395736726270e-16 5.594859587787e-17 5.791908503239e-18 + 2153 2.315599444171e-11 7.160870420415e-13 -4.253799813386e-13 5.212880529025e-15 2.390738352099e-16 5.550854875235e-17 5.875364161247e-18 + 2154 2.306296122199e-11 7.180268360240e-13 -4.203849854643e-13 5.205946057738e-15 2.385751954833e-16 5.506583103378e-17 5.956919996973e-18 + 2155 2.297006959054e-11 7.199865552711e-13 -4.156434414919e-13 5.199009491448e-15 2.380777504638e-16 5.462063804535e-17 6.036564559213e-18 + 2156 2.287733457154e-11 7.219647804389e-13 -4.111541339831e-13 5.192071139398e-15 2.375814971416e-16 5.417316585150e-17 6.114286369758e-18 + 2157 2.278477124283e-11 7.239600867767e-13 -4.069158409754e-13 5.185131311899e-15 2.370864324804e-16 5.372361125882e-17 6.190073923364e-18 + 2158 2.269239473593e-11 7.259710441216e-13 -4.029273339736e-13 5.178190320330e-15 2.365925534173e-16 5.327217181689e-17 6.263915687733e-18 + 2159 2.260022023612e-11 7.279962168914e-13 -3.991873779422e-13 5.171248477142e-15 2.360998568627e-16 5.281904581917e-17 6.335800103483e-18 + 2160 2.250826298247e-11 7.300341640788e-13 -3.956947312961e-13 5.164306095856e-15 2.356083397004e-16 5.236443230382e-17 6.405715584123e-18 + 2161 2.241653826795e-11 7.320834392446e-13 -3.924481458930e-13 5.157363491069e-15 2.351179987876e-16 5.190853105462e-17 6.473650516032e-18 + 2162 2.232506143946e-11 7.341425905120e-13 -3.894463670248e-13 5.150420978450e-15 2.346288309547e-16 5.145154260182e-17 6.539593258430e-18 + 2163 2.223384789789e-11 7.362101605598e-13 -3.866881334089e-13 5.143478874741e-15 2.341408330052e-16 5.099366822296e-17 6.603532143352e-18 + 2164 2.214291309819e-11 7.382846866161e-13 -3.841721771806e-13 5.136537497766e-15 2.336540017160e-16 5.053510994379e-17 6.665455475628e-18 + 2165 2.205227254942e-11 7.403647004522e-13 -3.818972238841e-13 5.129597166421e-15 2.331683338370e-16 5.007607053912e-17 6.725351532853e-18 + 2166 2.196194181485e-11 7.424487283763e-13 -3.798619924642e-13 5.122658200685e-15 2.326838260915e-16 4.961675353366e-17 6.783208565362e-18 + 2167 2.187193651196e-11 7.445352912270e-13 -3.780651952586e-13 5.115720921614e-15 2.322004751754e-16 4.915736320292e-17 6.839014796209e-18 + 2168 2.178227231255e-11 7.466229043669e-13 -3.765055379885e-13 5.108785651347e-15 2.317182777581e-16 4.869810457405e-17 6.892758421136e-18 + 2169 2.169296494277e-11 7.487100776767e-13 -3.751817197513e-13 5.101852713106e-15 2.312372304817e-16 4.823918342672e-17 6.944427608553e-18 + 2170 2.160403018320e-11 7.507953155485e-13 -3.740924330115e-13 5.094922431193e-15 2.307573299615e-16 4.778080629397e-17 6.994010499509e-18 + 2171 2.151548386891e-11 7.528771168794e-13 -3.732363635928e-13 5.087995131000e-15 2.302785727855e-16 4.732318046310e-17 7.041495207671e-18 + 2172 2.142734188953e-11 7.549539750658e-13 -3.726121906694e-13 5.081071139000e-15 2.298009555148e-16 4.686651397649e-17 7.086869819294e-18 + 2173 2.133962018926e-11 7.570243779964e-13 -3.722185867579e-13 5.074150782756e-15 2.293244746831e-16 4.641101563252e-17 7.130122393198e-18 + 2174 2.125233476700e-11 7.590868080461e-13 -3.720542177089e-13 5.067234390919e-15 2.288491267972e-16 4.595689498640e-17 7.171240960744e-18 + 2175 2.116550167638e-11 7.611397420698e-13 -3.721177426986e-13 5.060322293228e-15 2.283749083365e-16 4.550436235104e-17 7.210213525808e-18 + 2176 2.107913702580e-11 7.631816513962e-13 -3.724078142206e-13 5.053414820514e-15 2.279018157532e-16 4.505362879792e-17 7.247028064754e-18 + 2177 2.099325697853e-11 7.652110018210e-13 -3.729230780771e-13 5.046512304701e-15 2.274298454722e-16 4.460490615795e-17 7.281672526412e-18 + 2178 2.090787775276e-11 7.672262536011e-13 -3.736621733713e-13 5.039615078802e-15 2.269589938910e-16 4.415840702234e-17 7.314134832050e-18 + 2179 2.082301562163e-11 7.692258614479e-13 -3.746237324983e-13 5.032723476929e-15 2.264892573797e-16 4.371434474347e-17 7.344402875351e-18 + 2180 2.073868691334e-11 7.712082745212e-13 -3.758063811372e-13 5.025837834287e-15 2.260206322811e-16 4.327293343572e-17 7.372464522387e-18 + 2181 2.065490801118e-11 7.731719364229e-13 -3.772087382426e-13 5.018958487177e-15 2.255531149106e-16 4.283438797640e-17 7.398307611592e-18 + 2182 2.057169354376e-11 7.751154082301e-13 -3.788290672708e-13 5.012085753127e-15 2.250867017802e-16 4.239888398587e-17 7.421931530969e-18 + 2183 2.048905094238e-11 7.770377385098e-13 -3.806642273165e-13 5.005219871130e-15 2.246213902734e-16 4.196643747296e-17 7.443382034642e-18 + 2184 2.040698584729e-11 7.789380957742e-13 -3.827107149229e-13 4.998361061006e-15 2.241571779752e-16 4.153702438384e-17 7.462716659836e-18 + 2185 2.032550391417e-11 7.808156456630e-13 -3.849650121905e-13 4.991509543240e-15 2.236940624475e-16 4.111062054922e-17 7.479993171128e-18 + 2186 2.024461081421e-11 7.826695509406e-13 -3.874235867603e-13 4.984665538978e-15 2.232320412299e-16 4.068720168426e-17 7.495269560708e-18 + 2187 2.016431223410e-11 7.844989714929e-13 -3.900828917968e-13 4.977829270034e-15 2.227711118392e-16 4.026674338834e-17 7.508604048650e-18 + 2188 2.008461387601e-11 7.863030643235e-13 -3.929393659706e-13 4.971000958887e-15 2.223112717692e-16 3.984922114503e-17 7.520055083174e-18 + 2189 2.000552145768e-11 7.880809835511e-13 -3.959894334415e-13 4.964180828680e-15 2.218525184911e-16 3.943461032184e-17 7.529681340919e-18 + 2190 1.992704071235e-11 7.898318804060e-13 -3.992295038411e-13 4.957369103226e-15 2.213948494533e-16 3.902288617013e-17 7.537541727201e-18 + 2191 1.984917738885e-11 7.915549032269e-13 -4.026559722559e-13 4.950566007003e-15 2.209382620813e-16 3.861402382498e-17 7.543695376288e-18 + 2192 1.977193725157e-11 7.932491974578e-13 -4.062652192100e-13 4.943771765158e-15 2.204827537777e-16 3.820799830501e-17 7.548201651659e-18 + 2193 1.969532608048e-11 7.949139056445e-13 -4.100536106481e-13 4.936986603509e-15 2.200283219221e-16 3.780478451224e-17 7.551120146277e-18 + 2194 1.961934967118e-11 7.965481674318e-13 -4.140174979184e-13 4.930210748541e-15 2.195749638714e-16 3.740435723198e-17 7.552510682850e-18 + 2195 1.954401383487e-11 7.981511195600e-13 -4.181532177550e-13 4.923444427411e-15 2.191226769592e-16 3.700669113266e-17 7.552433314101e-18 + 2196 1.946932439839e-11 7.997218958616e-13 -4.224570922616e-13 4.916687867946e-15 2.186714584962e-16 3.661176076569e-17 7.550948323034e-18 + 2197 1.939528720424e-11 8.012596272584e-13 -4.269254288936e-13 4.909941298644e-15 2.182213057703e-16 3.621954056530e-17 7.548116223198e-18 + 2198 1.932190811057e-11 8.027634417580e-13 -4.315545204412e-13 4.903204948679e-15 2.177722160458e-16 3.583000484845e-17 7.543997758958e-18 + 2199 1.924919299123e-11 8.042324644508e-13 -4.363406450126e-13 4.896479047894e-15 2.173241865644e-16 3.544312781463e-17 7.538653905756e-18 + 2200 1.917714773576e-11 8.056658175065e-13 -4.412800660164e-13 4.889763826807e-15 2.168772145443e-16 3.505888354575e-17 7.532145870382e-18 + 2201 1.910577824942e-11 8.070626201711e-13 -4.463690321447e-13 4.883059516612e-15 2.164312971808e-16 3.467724600596e-17 7.524535091238e-18 + 2202 1.903509045318e-11 8.084219887638e-13 -4.516037773557e-13 4.876366349177e-15 2.159864316456e-16 3.429818904157e-17 7.515883238607e-18 + 2203 1.896509028377e-11 8.097430366735e-13 -4.569805208572e-13 4.869684557045e-15 2.155426150876e-16 3.392168638084e-17 7.506252214916e-18 + 2204 1.889578369369e-11 8.110248743555e-13 -4.624954670887e-13 4.863014373436e-15 2.150998446321e-16 3.354771163387e-17 7.495704155005e-18 + 2205 1.882717665119e-11 8.122666093288e-13 -4.681448057047e-13 4.856356032249e-15 2.146581173813e-16 3.317623829246e-17 7.484301426392e-18 + 2206 1.875927514033e-11 8.134673461725e-13 -4.739247115575e-13 4.849709768058e-15 2.142174304139e-16 3.280723972996e-17 7.472106629540e-18 + 2207 1.869208516097e-11 8.146261865223e-13 -4.798313446800e-13 4.843075816118e-15 2.137777807853e-16 3.244068920111e-17 7.459182598126e-18 + 2208 1.862561272880e-11 8.157422290682e-13 -4.858608502687e-13 4.836454412361e-15 2.133391655274e-16 3.207655984194e-17 7.445592399302e-18 + 2209 1.855986387534e-11 8.168145695502e-13 -4.920093586662e-13 4.829845793402e-15 2.129015816489e-16 3.171482466955e-17 7.431399333967e-18 + 2210 1.849484464795e-11 8.178423007558e-13 -4.982729853447e-13 4.823250196533e-15 2.124650261347e-16 3.135545658207e-17 7.416666937031e-18 + 2211 1.843056110990e-11 8.188245125167e-13 -5.046478308880e-13 4.816667859730e-15 2.120294959466e-16 3.099842835843e-17 7.401458977680e-18 + 2212 1.836701934029e-11 8.197602917051e-13 -5.111299809754e-13 4.810099021649e-15 2.115949880223e-16 3.064371265825e-17 7.385839459644e-18 + 2213 1.830422543417e-11 8.206487222312e-13 -5.177155063637e-13 4.803543921631e-15 2.111614992766e-16 3.029128202171e-17 7.369872621467e-18 + 2214 1.824218550247e-11 8.214888850394e-13 -5.244004628704e-13 4.797002799699e-15 2.107290266001e-16 2.994110886938e-17 7.353622936767e-18 + 2215 1.818090567207e-11 8.222798581053e-13 -5.311808913565e-13 4.790475896559e-15 2.102975668602e-16 2.959316550208e-17 7.337155114505e-18 + 2216 1.812039208579e-11 8.230207164327e-13 -5.380528177096e-13 4.783963453605e-15 2.098671169004e-16 2.924742410077e-17 7.320534099254e-18 + 2217 1.806065090241e-11 8.237105320499e-13 -5.450122528265e-13 4.777465712912e-15 2.094376735405e-16 2.890385672636e-17 7.303825071463e-18 + 2218 1.800168829670e-11 8.243483740068e-13 -5.520551925959e-13 4.770982917244e-15 2.090092335767e-16 2.856243531960e-17 7.287093447723e-18 + 2219 1.794351045940e-11 8.249333083718e-13 -5.591776178820e-13 4.764515310052e-15 2.085817937814e-16 2.822313170092e-17 7.270404881036e-18 + 2220 1.788612359728e-11 8.254643982282e-13 -5.663754945063e-13 4.758063135472e-15 2.081553509031e-16 2.788591757029e-17 7.253825261079e-18 + 2221 1.782953219505e-11 8.259408643670e-13 -5.736448575464e-13 4.751626605471e-15 2.077299018609e-16 2.755077424234e-17 7.237410726983e-18 + 2222 1.777373378864e-11 8.263625685280e-13 -5.809820648709e-13 4.745205801017e-15 2.073054443287e-16 2.721772192205e-17 7.221177633187e-18 + 2223 1.771872415751e-11 8.267295333376e-13 -5.883835452410e-13 4.738800770259e-15 2.068819761546e-16 2.688679062174e-17 7.205132386146e-18 + 2224 1.766449905954e-11 8.270417819029e-13 -5.958457141325e-13 4.732411561322e-15 2.064594951673e-16 2.655801044345e-17 7.189281413868e-18 + 2225 1.761105423109e-11 8.272993378121e-13 -6.033649737204e-13 4.726038222313e-15 2.060379991753e-16 2.623141157897e-17 7.173631165938e-18 + 2226 1.755838538685e-11 8.275022251356e-13 -6.109377128639e-13 4.719680801313e-15 2.056174859677e-16 2.590702431001e-17 7.158188113544e-18 + 2227 1.750648821993e-11 8.276504684264e-13 -6.185603070913e-13 4.713339346387e-15 2.051979533136e-16 2.558487900823e-17 7.142958749495e-18 + 2228 1.745535840176e-11 8.277440927210e-13 -6.262291185851e-13 4.707013905574e-15 2.047793989622e-16 2.526500613537e-17 7.127949588251e-18 + 2229 1.740499158207e-11 8.277831235399e-13 -6.339404961667e-13 4.700704526893e-15 2.043618206432e-16 2.494743624335e-17 7.113167165940e-18 + 2230 1.735538338891e-11 8.277675868884e-13 -6.416907752814e-13 4.694411258343e-15 2.039452160660e-16 2.463219997431e-17 7.098618040389e-18 + 2231 1.730652942857e-11 8.276975092574e-13 -6.494762779832e-13 4.688134147897e-15 2.035295829203e-16 2.431932806078e-17 7.084308791142e-18 + 2232 1.725842528558e-11 8.275729176237e-13 -6.572933129200e-13 4.681873243509e-15 2.031149188758e-16 2.400885132571e-17 7.070246019484e-18 + 2233 1.721106652268e-11 8.273938394513e-13 -6.651381753182e-13 4.675628593111e-15 2.027012215823e-16 2.370080068260e-17 7.056436348469e-18 + 2234 1.716444868078e-11 8.271603026913e-13 -6.730071469677e-13 4.669400244611e-15 2.022884886696e-16 2.339520713556e-17 7.042886422939e-18 + 2235 1.711856727896e-11 8.268723357835e-13 -6.808964962070e-13 4.663188245897e-15 2.018767177474e-16 2.309210177945e-17 7.029602909550e-18 + 2236 1.707341781442e-11 8.265299676563e-13 -6.888024779078e-13 4.656992644831e-15 2.014659064054e-16 2.279151579993e-17 7.016592496793e-18 + 2237 1.702899576247e-11 8.261332277277e-13 -6.967213334602e-13 4.650813489255e-15 2.010560522132e-16 2.249348047357e-17 7.003861895023e-18 + 2238 1.698529657648e-11 8.256821459061e-13 -7.046492907575e-13 4.644650826989e-15 2.006471527203e-16 2.219802716796e-17 6.991417836476e-18 + 2239 1.694231568788e-11 8.251767525910e-13 -7.125825641811e-13 4.638504705828e-15 2.002392054561e-16 2.190518734178e-17 6.979267075298e-18 + 2240 1.690004850611e-11 8.246170786734e-13 -7.205173545853e-13 4.632375173546e-15 1.998322079298e-16 2.161499254489e-17 6.967416387565e-18 + 2241 1.685849041861e-11 8.240031555366e-13 -7.284498492826e-13 4.626262277891e-15 1.994261576304e-16 2.132747441845e-17 6.955872571309e-18 + 2242 1.681763679078e-11 8.233350150572e-13 -7.363762220280e-13 4.620166066591e-15 1.990210520267e-16 2.104266469498e-17 6.944642446541e-18 + 2243 1.677748296598e-11 8.226126896053e-13 -7.442926330047e-13 4.614086587350e-15 1.986168885673e-16 2.076059519850e-17 6.933732855274e-18 + 2244 1.673802426547e-11 8.218362120457e-13 -7.521952288082e-13 4.608023887848e-15 1.982136646805e-16 2.048129784455e-17 6.923150661546e-18 + 2245 1.669925598839e-11 8.210056157379e-13 -7.600801424318e-13 4.601978015740e-15 1.978113777742e-16 2.020480464037e-17 6.912902751446e-18 + 2246 1.666117341175e-11 8.201209345377e-13 -7.679434932512e-13 4.595949018661e-15 1.974100252361e-16 1.993114768493e-17 6.902996033135e-18 + 2247 1.662377179040e-11 8.191822027970e-13 -7.757813870097e-13 4.589936944220e-15 1.970096044336e-16 1.966035916905e-17 6.893437436872e-18 + 2248 1.658704635699e-11 8.181894553652e-13 -7.835899158027e-13 4.583941840002e-15 1.966101127136e-16 1.939247137549e-17 6.884233915036e-18 + 2249 1.655099232195e-11 8.171427275894e-13 -7.913651580632e-13 4.577963753568e-15 1.962115474025e-16 1.912751667903e-17 6.875392442150e-18 + 2250 1.651560487345e-11 8.160420553153e-13 -7.991031785459e-13 4.572002732456e-15 1.958139058064e-16 1.886552754659e-17 6.866920014905e-18 + 2251 1.648087917742e-11 8.148874748879e-13 -8.068000283130e-13 4.566058824179e-15 1.954171852111e-16 1.860653653729e-17 6.858823652184e-18 + 2252 1.644681037745e-11 8.136790231521e-13 -8.144517447184e-13 4.560132076226e-15 1.950213828815e-16 1.835057630259e-17 6.851110395082e-18 + 2253 1.641339359485e-11 8.124167374533e-13 -8.220543513932e-13 4.554222536061e-15 1.946264960622e-16 1.809767958632e-17 6.843787306938e-18 + 2254 1.638062392853e-11 8.111006556387e-13 -8.296038582301e-13 4.548330251125e-15 1.942325219775e-16 1.784787922483e-17 6.836861473347e-18 + 2255 1.634849645504e-11 8.097308160569e-13 -8.370962613686e-13 4.542455268832e-15 1.938394578306e-16 1.760120814706e-17 6.830340002196e-18 + 2256 1.631700622854e-11 8.083072575597e-13 -8.445275431798e-13 4.536597636574e-15 1.934473008045e-16 1.735769937463e-17 6.824230023676e-18 + 2257 1.628614828073e-11 8.068300195019e-13 -8.518936722516e-13 4.530757401715e-15 1.930560480614e-16 1.711738602194e-17 6.818538690316e-18 + 2258 1.625591762086e-11 8.052991417428e-13 -8.591906033731e-13 4.524934611598e-15 1.926656967429e-16 1.688030129625e-17 6.813273176997e-18 + 2259 1.622630923569e-11 8.037146646462e-13 -8.664142775199e-13 4.519129313536e-15 1.922762439699e-16 1.664647849781e-17 6.808440680985e-18 + 2260 1.619731732319e-11 8.020767376295e-13 -8.735610056732e-13 4.513341528815e-15 1.918876870113e-16 1.641594275260e-17 6.804037057014e-18 + 2261 1.616893298823e-11 8.003859455778e-13 -8.806286230246e-13 4.507571174487e-15 1.915000237917e-16 1.618868615195e-17 6.800012642062e-18 + 2262 1.614114653189e-11 7.986429845458e-13 -8.876153422178e-13 4.501818141066e-15 1.911132523868e-16 1.596469245210e-17 6.796306209240e-18 + 2263 1.611394821639e-11 7.968485534044e-13 -8.945193701878e-13 4.496082318486e-15 1.907273708553e-16 1.574394532676e-17 6.792856312379e-18 + 2264 1.608732826496e-11 7.950033538446e-13 -9.013389081540e-13 4.490363596105e-15 1.903423772385e-16 1.552642836700e-17 6.789601285794e-18 + 2265 1.606127686189e-11 7.931080903803e-13 -9.080721516149e-13 4.484661862697e-15 1.899582695605e-16 1.531212508120e-17 6.786479244031e-18 + 2266 1.603578415241e-11 7.911634703518e-13 -9.147172903414e-13 4.478977006458e-15 1.895750458281e-16 1.510101889487e-17 6.783428081632e-18 + 2267 1.601084024272e-11 7.891702039286e-13 -9.212725083714e-13 4.473308915001e-15 1.891927040308e-16 1.489309315064e-17 6.780385472884e-18 + 2268 1.598643519985e-11 7.871290041132e-13 -9.277359840029e-13 4.467657475356e-15 1.888112421410e-16 1.468833110809e-17 6.777288871585e-18 + 2269 1.596255905170e-11 7.850405867441e-13 -9.341058897887e-13 4.462022573970e-15 1.884306581133e-16 1.448671594367e-17 6.774075510790e-18 + 2270 1.593920178695e-11 7.829056704989e-13 -9.403803925299e-13 4.456404096709e-15 1.880509498853e-16 1.428823075062e-17 6.770682402578e-18 + 2271 1.591635335505e-11 7.807249768976e-13 -9.465576532699e-13 4.450801928851e-15 1.876721153771e-16 1.409285853884e-17 6.767046337801e-18 + 2272 1.589400366612e-11 7.784992303061e-13 -9.526358272883e-13 4.445215955089e-15 1.872941524913e-16 1.390058223479e-17 6.763103885845e-18 + 2273 1.587214259096e-11 7.762291579391e-13 -9.586130640951e-13 4.439646059533e-15 1.869170591132e-16 1.371138468142e-17 6.758791394387e-18 + 2274 1.585075996097e-11 7.739154898635e-13 -9.644875074241e-13 4.434092125703e-15 1.865408331105e-16 1.352524863804e-17 6.754044989146e-18 + 2275 1.582984556815e-11 7.715589590016e-13 -9.702572952275e-13 4.428554036533e-15 1.861654723334e-16 1.334215678023e-17 6.748800573649e-18 + 2276 1.580938916498e-11 7.691603011343e-13 -9.759205596692e-13 4.423031674368e-15 1.857909746147e-16 1.316209169974e-17 6.742993828979e-18 + 2277 1.578938046445e-11 7.667202549045e-13 -9.814754271192e-13 4.417524920967e-15 1.854173377697e-16 1.298503590437e-17 6.736560213537e-18 + 2278 1.576980913998e-11 7.642395618203e-13 -9.869200181470e-13 4.412033657495e-15 1.850445595958e-16 1.281097181792e-17 6.729434962797e-18 + 2279 1.575066482537e-11 7.617189662578e-13 -9.922524475163e-13 4.406557764529e-15 1.846726378733e-16 1.263988178002e-17 6.721553089063e-18 + 2280 1.573193711479e-11 7.591592154652e-13 -9.974708241782e-13 4.401097122055e-15 1.843015703645e-16 1.247174804609e-17 6.712849381225e-18 + 2281 1.571361556267e-11 7.565610595651e-13 -1.002573251265e-12 4.395651609468e-15 1.839313548142e-16 1.230655278720e-17 6.703258404518e-18 + 2282 1.569568968373e-11 7.539252515585e-13 -1.007557826086e-12 4.390221105567e-15 1.835619889497e-16 1.214427808999e-17 6.692714500275e-18 + 2283 1.567814895290e-11 7.512525473276e-13 -1.012422640119e-12 4.384805488563e-15 1.831934704803e-16 1.198490595655e-17 6.681151785687e-18 + 2284 1.566098280526e-11 7.485437056391e-13 -1.017165779003e-12 4.379404636068e-15 1.828257970979e-16 1.182841830435e-17 6.668504153558e-18 + 2285 1.564418063601e-11 7.457994881476e-13 -1.021785322539e-12 4.374018425102e-15 1.824589664765e-16 1.167479696611e-17 6.654705272064e-18 + 2286 1.562773180045e-11 7.430206593986e-13 -1.026279344676e-12 4.368646732089e-15 1.820929762723e-16 1.152402368971e-17 6.639688584505e-18 + 2287 1.561162561390e-11 7.402079868321e-13 -1.030645913509e-12 4.363289432858e-15 1.817278241240e-16 1.137608013808e-17 6.623387309069e-18 + 2288 1.559585135165e-11 7.373622407855e-13 -1.034883091272e-12 4.357946402639e-15 1.813635076521e-16 1.123094788914e-17 6.605734438580e-18 + 2289 1.558039824897e-11 7.344841944968e-13 -1.038988934331e-12 4.352617516065e-15 1.810000244596e-16 1.108860843563e-17 6.586662740262e-18 + 2290 1.556525550100e-11 7.315746241082e-13 -1.042961493182e-12 4.347302647172e-15 1.806373721315e-16 1.094904318507e-17 6.566104755492e-18 + 2291 1.555041226274e-11 7.286343086690e-13 -1.046798812438e-12 4.342001669396e-15 1.802755482350e-16 1.081223345962e-17 6.543992799559e-18 + 2292 1.553585764900e-11 7.256640301392e-13 -1.050498930830e-12 4.336714455572e-15 1.799145503194e-16 1.067816049602e-17 6.520258961417e-18 + 2293 1.552158073435e-11 7.226645733921e-13 -1.054059881196e-12 4.331440877938e-15 1.795543759160e-16 1.054680544544e-17 6.494835103447e-18 + 2294 1.550757055310e-11 7.196367262183e-13 -1.057479690478e-12 4.326180808127e-15 1.791950225383e-16 1.041814937342e-17 6.467652861209e-18 + 2295 1.549381609921e-11 7.165812793285e-13 -1.060756379713e-12 4.320934117172e-15 1.788364876817e-16 1.029217325973e-17 6.438643643202e-18 + 2296 1.548030632627e-11 7.134990263567e-13 -1.063887964030e-12 4.315700675503e-15 1.784787688236e-16 1.016885799833e-17 6.407738630617e-18 + 2297 1.546703014748e-11 7.103907638638e-13 -1.066872452641e-12 4.310480352947e-15 1.781218634236e-16 1.004818439719e-17 6.374868777099e-18 + 2298 1.545397643555e-11 7.072572913402e-13 -1.069707848837e-12 4.305273018726e-15 1.777657689230e-16 9.930133178266e-18 6.339964808498e-18 + 2299 1.544113442216e-11 7.040994233927e-13 -1.072392574398e-12 4.300078533517e-15 1.774104828929e-16 9.814689783947e-18 6.302977506023e-18 + 2300 1.542849489906e-11 7.009180263804e-13 -1.074926745783e-12 4.294896725575e-15 1.770560034787e-16 9.701858830265e-18 6.263938697322e-18 + 2301 1.541604902451e-11 6.977139820180e-13 -1.077310906054e-12 4.289727414456e-15 1.767023289581e-16 9.591649745546e-18 6.222900653320e-18 + 2302 1.540378792446e-11 6.944881752180e-13 -1.079545601203e-12 4.284570418943e-15 1.763494575938e-16 9.484071972174e-18 6.179915840311e-18 + 2303 1.539170269258e-11 6.912414940940e-13 -1.081631380154e-12 4.279425557046e-15 1.759973876336e-16 9.379134966596e-18 6.135036920174e-18 + 2304 1.537978439016e-11 6.879748299641e-13 -1.083568794765e-12 4.274292645999e-15 1.756461173099e-16 9.276848199331e-18 6.088316750592e-18 + 2305 1.536802404608e-11 6.846890773546e-13 -1.085358399836e-12 4.269171502259e-15 1.752956448402e-16 9.177221154978e-18 6.039808385266e-18 + 2306 1.535641265684e-11 6.813851340036e-13 -1.087000753109e-12 4.264061941510e-15 1.749459684271e-16 9.080263332227e-18 5.989565074137e-18 + 2307 1.534494118643e-11 6.780639008643e-13 -1.088496415272e-12 4.258963778654e-15 1.745970862575e-16 8.985984243863e-18 5.937640263597e-18 + 2308 1.533360056636e-11 6.747262821084e-13 -1.089845949964e-12 4.253876827818e-15 1.742489965037e-16 8.894393416780e-18 5.884087596712e-18 + 2309 1.532238169560e-11 6.713731851301e-13 -1.091049923777e-12 4.248800902348e-15 1.739016973225e-16 8.805500391982e-18 5.828960913434e-18 + 2310 1.531127544057e-11 6.680055205491e-13 -1.092108906263e-12 4.243735814811e-15 1.735551868556e-16 8.719314724597e-18 5.772314250822e-18 + 2311 1.530027263504e-11 6.646242022145e-13 -1.093023469930e-12 4.238681376990e-15 1.732094632293e-16 8.635845983884e-18 5.714201843256e-18 + 2312 1.528936408018e-11 6.612301472081e-13 -1.093794190254e-12 4.233637399889e-15 1.728645245550e-16 8.555103753240e-18 5.654678122656e-18 + 2313 1.527854054447e-11 6.578242758478e-13 -1.094421645678e-12 4.228603693727e-15 1.725203689285e-16 8.477097630209e-18 5.593797718698e-18 + 2314 1.526779276366e-11 6.544075116916e-13 -1.094906417616e-12 4.223580067941e-15 1.721769944306e-16 8.401837226491e-18 5.531615459033e-18 + 2315 1.525711144077e-11 6.509807815406e-13 -1.095249090459e-12 4.218566331180e-15 1.718343991265e-16 8.329332167951e-18 5.468186369500e-18 + 2316 1.524648724602e-11 6.475450154427e-13 -1.095450251574e-12 4.213562291311e-15 1.714925810663e-16 8.259592094623e-18 5.403565674347e-18 + 2317 1.523591081682e-11 6.441011466962e-13 -1.095510491311e-12 4.208567755412e-15 1.711515382846e-16 8.192626660724e-18 5.337808796448e-18 + 2318 1.522537275773e-11 6.406501118531e-13 -1.095430403008e-12 4.203582529774e-15 1.708112688008e-16 8.128445534658e-18 5.270971357515e-18 + 2319 1.521486364041e-11 6.371928507231e-13 -1.095210582989e-12 4.198606419900e-15 1.704717706188e-16 8.067058399028e-18 5.203109178322e-18 + 2320 1.520437400358e-11 6.337303063764e-13 -1.094851630573e-12 4.193639230502e-15 1.701330417271e-16 8.008474950640e-18 5.134278278918e-18 + 2321 1.519389435302e-11 6.302634251478e-13 -1.094354148075e-12 4.188680765505e-15 1.697950800988e-16 7.952704900515e-18 5.064534878843e-18 + 2322 1.518341516149e-11 6.267931566399e-13 -1.093718740809e-12 4.183730828039e-15 1.694578836915e-16 7.899757973895e-18 4.993935397350e-18 + 2323 1.517292686874e-11 6.233204537268e-13 -1.092946017095e-12 4.178789220445e-15 1.691214504474e-16 7.849643910254e-18 4.922536453616e-18 + 2324 1.516241988142e-11 6.198462725574e-13 -1.092036588257e-12 4.173855744269e-15 1.687857782933e-16 7.802372463304e-18 4.850394866963e-18 + 2325 1.515188457310e-11 6.163715725592e-13 -1.090991068631e-12 4.168930200265e-15 1.684508651402e-16 7.757953401001e-18 4.777567657075e-18 + 2326 1.514131128420e-11 6.128973164417e-13 -1.089810075569e-12 4.164012388391e-15 1.681167088838e-16 7.716396505560e-18 4.704112044213e-18 + 2327 1.513069032196e-11 6.094244701996e-13 -1.088494229439e-12 4.159102107808e-15 1.677833074043e-16 7.677711573457e-18 4.630085449433e-18 + 2328 1.512001196040e-11 6.059540031169e-13 -1.087044153630e-12 4.154199156884e-15 1.674506585661e-16 7.641908415442e-18 4.555545494803e-18 + 2329 1.510926644032e-11 6.024868877700e-13 -1.085460474556e-12 4.149303333186e-15 1.671187602182e-16 7.608996856543e-18 4.480550003621e-18 + 2330 1.509844396920e-11 5.990241000313e-13 -1.083743821661e-12 4.144414433485e-15 1.667876101940e-16 7.578986736077e-18 4.405157000631e-18 + 2331 1.508753472121e-11 5.955666190727e-13 -1.081894827420e-12 4.139532253751e-15 1.664572063110e-16 7.551887907658e-18 4.329424712240e-18 + 2332 1.507652883720e-11 5.921154273692e-13 -1.079914127343e-12 4.134656589155e-15 1.661275463714e-16 7.527710239204e-18 4.253411566736e-18 + 2333 1.506541642457e-11 5.886715107025e-13 -1.077802359981e-12 4.129787234066e-15 1.657986281616e-16 7.506463612950e-18 4.177176194503e-18 + 2334 1.505418755734e-11 5.852358581641e-13 -1.075560166926e-12 4.124923982051e-15 1.654704494521e-16 7.488157925447e-18 4.100777428241e-18 + 2335 1.504283227605e-11 5.818094621593e-13 -1.073188192816e-12 4.120066625876e-15 1.651430079981e-16 7.472803087580e-18 4.024274303180e-18 + 2336 1.503134058774e-11 5.783933184106e-13 -1.070687085341e-12 4.115214957500e-15 1.648163015387e-16 7.460409024570e-18 3.947726057300e-18 + 2337 1.501970246593e-11 5.749884259608e-13 -1.068057495243e-12 4.110368768079e-15 1.644903277974e-16 7.450985675988e-18 3.871192131545e-18 + 2338 1.500790892644e-11 5.715957153321e-13 -1.065300308351e-12 4.105527858651e-15 1.641650846101e-16 7.444535613928e-18 3.794728977210e-18 + 2339 1.499595526249e-11 5.682158325017e-13 -1.062417343274e-12 4.100692072265e-15 1.638405703106e-16 7.441031847020e-18 3.718380455798e-18 + 2340 1.498383782979e-11 5.648493535801e-13 -1.059410658081e-12 4.095861262052e-15 1.635167833474e-16 7.440439877444e-18 3.642187379478e-18 + 2341 1.497155297252e-11 5.614968565353e-13 -1.056282318683e-12 4.091035280554e-15 1.631937221559e-16 7.442725069979e-18 3.566190698603e-18 + 2342 1.495909702326e-11 5.581589211948e-13 -1.053034398837e-12 4.086213979722e-15 1.628713851580e-16 7.447852651853e-18 3.490431501859e-18 + 2343 1.494646630304e-11 5.548361292472e-13 -1.049668980154e-12 4.081397210919e-15 1.625497707628e-16 7.455787712589e-18 3.414951016413e-18 + 2344 1.493365712129e-11 5.515290642448e-13 -1.046188152112e-12 4.076584824918e-15 1.622288773658e-16 7.466495203848e-18 3.339790608056e-18 + 2345 1.492066577583e-11 5.482383116047e-13 -1.042594012061e-12 4.071776671898e-15 1.619087033494e-16 7.479939939279e-18 3.264991781356e-18 + 2346 1.490748855289e-11 5.449644586114e-13 -1.038888665233e-12 4.066972601448e-15 1.615892470828e-16 7.496086594365e-18 3.190596179797e-18 + 2347 1.489412172703e-11 5.417080944185e-13 -1.035074224749e-12 4.062172462564e-15 1.612705069215e-16 7.514899706266e-18 3.116645585935e-18 + 2348 1.488056156122e-11 5.384698100505e-13 -1.031152811632e-12 4.057376103648e-15 1.609524812082e-16 7.536343673670e-18 3.043181921538e-18 + 2349 1.486680430674e-11 5.352501984052e-13 -1.027126554809e-12 4.052583372510e-15 1.606351682719e-16 7.560382756635e-18 2.970247247736e-18 + 2350 1.485284620322e-11 5.320498542548e-13 -1.022997591127e-12 4.047794116362e-15 1.603185664284e-16 7.586981076440e-18 2.897883765167e-18 + 2351 1.483868347862e-11 5.288693742490e-13 -1.018768065355e-12 4.043008181824e-15 1.600026739801e-16 7.616102615424e-18 2.826133814127e-18 + 2352 1.482431234922e-11 5.257093569157e-13 -1.014440130197e-12 4.038225414918e-15 1.596874892159e-16 7.647711216843e-18 2.755039874710e-18 + 2353 1.480972901958e-11 5.225704026639e-13 -1.010015946299e-12 4.033445661070e-15 1.593730104115e-16 7.681770584705e-18 2.684644566965e-18 + 2354 1.479492968256e-11 5.194531137853e-13 -1.005497682259e-12 4.028668765109e-15 1.590592358289e-16 7.718244283625e-18 2.614990651032e-18 + 2355 1.477991051930e-11 5.163580944559e-13 -1.000887514632e-12 4.023894571264e-15 1.587461637170e-16 7.757095738666e-18 2.546121027298e-18 + 2356 1.476466769920e-11 5.132859507386e-13 -9.961876279445e-13 4.019122923169e-15 1.584337923109e-16 7.798288235188e-18 2.478078736540e-18 + 2357 1.474919737990e-11 5.102372905846e-13 -9.914002146972e-13 4.014353663855e-15 1.581221198325e-16 7.841784918695e-18 2.410906960070e-18 + 2358 1.473349570732e-11 5.072127238355e-13 -9.865274753778e-13 4.009586635755e-15 1.578111444899e-16 7.887548794676e-18 2.344649019888e-18 + 2359 1.471755881556e-11 5.042128622255e-13 -9.815716184677e-13 4.004821680701e-15 1.575008644781e-16 7.935542728461e-18 2.279348378823e-18 + 2360 1.470138282696e-11 5.012383193828e-13 -9.765348604513e-13 4.000058639922e-15 1.571912779781e-16 7.985729445055e-18 2.215048640682e-18 + 2361 1.468496385207e-11 4.982897108320e-13 -9.714194258245e-13 3.995297354049e-15 1.568823831577e-16 8.038071528997e-18 2.151793550399e-18 + 2362 1.466829798963e-11 4.953676539959e-13 -9.662275471032e-13 3.990537663105e-15 1.565741781710e-16 8.092531424196e-18 2.089626994180e-18 + 2363 1.465138132654e-11 4.924727681975e-13 -9.609614648323e-13 3.985779406514e-15 1.562666611586e-16 8.149071433784e-18 2.028592999650e-18 + 2364 1.463420993790e-11 4.896056746616e-13 -9.556234275940e-13 3.981022423094e-15 1.559598302473e-16 8.207653719958e-18 1.968735735999e-18 + 2365 1.461677988693e-11 4.867669965173e-13 -9.502156920167e-13 3.976266551058e-15 1.556536835504e-16 8.268240303829e-18 1.910099514132e-18 + 2366 1.459908722504e-11 4.839573587994e-13 -9.447405227835e-13 3.971511628015e-15 1.553482191677e-16 8.330793065269e-18 1.852728786815e-18 + 2367 1.458112799173e-11 4.811773884508e-13 -9.392001926410e-13 3.966757490965e-15 1.550434351852e-16 8.395273742754e-18 1.796668148819e-18 + 2368 1.456289821463e-11 4.784277143240e-13 -9.335969824077e-13 3.962003976306e-15 1.547393296752e-16 8.461643933212e-18 1.741962337070e-18 + 2369 1.454439390950e-11 4.757089671833e-13 -9.279331809830e-13 3.957250919825e-15 1.544359006964e-16 8.529865091872e-18 1.688656230797e-18 + 2370 1.452561108017e-11 4.730217797068e-13 -9.222110853554e-13 3.952498156701e-15 1.541331462937e-16 8.599898532104e-18 1.636794851674e-18 + 2371 1.450654571857e-11 4.703667864882e-13 -9.164330006118e-13 3.947745521506e-15 1.538310644983e-16 8.671705425272e-18 1.586423363974e-18 + 2372 1.448719380469e-11 4.677446240387e-13 -9.106012399454e-13 3.942992848202e-15 1.535296533278e-16 8.745246800576e-18 1.537587074710e-18 + 2373 1.446755130659e-11 4.651559307890e-13 -9.047181246649e-13 3.938239970140e-15 1.532289107858e-16 8.820483544903e-18 1.490331433783e-18 + 2374 1.444761418037e-11 4.626013470914e-13 -8.987859842030e-13 3.933486720060e-15 1.529288348624e-16 8.897376402665e-18 1.444702034132e-18 + 2375 1.442737837017e-11 4.600815152214e-13 -8.928071561249e-13 3.928732930094e-15 1.526294235336e-16 8.975885975654e-18 1.400744611880e-18 + 2376 1.440683980815e-11 4.575970793799e-13 -8.867839861371e-13 3.923978431757e-15 1.523306747619e-16 9.055972722885e-18 1.358505046479e-18 + 2377 1.438599542940e-11 4.551485834973e-13 -8.807187922858e-13 3.919223077272e-15 1.520325866134e-16 9.137603378886e-18 1.318008321784e-18 + 2378 1.436484622343e-11 4.527361639534e-13 -8.746137572932e-13 3.914466803663e-15 1.517351576120e-16 9.220770252099e-18 1.279195267370e-18 + 2379 1.434339420146e-11 4.503598549688e-13 -8.684710355753e-13 3.909709569050e-15 1.514383863878e-16 9.305472045040e-18 1.241985427858e-18 + 2380 1.432164138321e-11 4.480196906303e-13 -8.622927889998e-13 3.904951331371e-15 1.511422715591e-16 9.391707446641e-18 1.206298066312e-18 + 2381 1.429958979691e-11 4.457157048909e-13 -8.560811868938e-13 3.900192048381e-15 1.508468117329e-16 9.479475132222e-18 1.172052163933e-18 + 2382 1.427724147929e-11 4.434479315691e-13 -8.498384060521e-13 3.895431677648e-15 1.505520055046e-16 9.568773763480e-18 1.139166419765e-18 + 2383 1.425459847562e-11 4.412164043494e-13 -8.435666307446e-13 3.890670176558e-15 1.502578514580e-16 9.659601988470e-18 1.107559250392e-18 + 2384 1.423166283973e-11 4.390211567815e-13 -8.372680527247e-13 3.885907502312e-15 1.499643481654e-16 9.751958441587e-18 1.077148789639e-18 + 2385 1.420843663396e-11 4.368622222802e-13 -8.309448712367e-13 3.881143611927e-15 1.496714941876e-16 9.845841743548e-18 1.047852888271e-18 + 2386 1.418492192923e-11 4.347396341253e-13 -8.245992930241e-13 3.876378462233e-15 1.493792880736e-16 9.941250501376e-18 1.019589113699e-18 + 2387 1.416112080502e-11 4.326534254614e-13 -8.182335323371e-13 3.871612009876e-15 1.490877283610e-16 1.003818330838e-17 9.922747496714e-19 + 2388 1.413703534939e-11 4.306036292973e-13 -8.118498109411e-13 3.866844211316e-15 1.487968135757e-16 1.013663874415e-17 9.658267959825e-19 + 2389 1.411266765898e-11 4.285902785062e-13 -8.054503581237e-13 3.862075022830e-15 1.485065422318e-16 1.023661537451e-17 9.401619681681e-19 + 2390 1.408801983903e-11 4.266134058252e-13 -7.990374107036e-13 3.857304400505e-15 1.482169128321e-16 1.033811175153e-17 9.151966972073e-19 + 2391 1.406309400338e-11 4.246730438553e-13 -7.926132130375e-13 3.852532300245e-15 1.479279238674e-16 1.044112641352e-17 8.908471292229e-19 + 2392 1.403789227449e-11 4.227692250609e-13 -7.861800170287e-13 3.847758677766e-15 1.476395738170e-16 1.054565788494e-17 8.670291251815e-19 + 2393 1.401241678343e-11 4.209019817698e-13 -7.797400821350e-13 3.842983488599e-15 1.473518611485e-16 1.065170467648e-17 8.436582605940e-19 + 2394 1.398666966993e-11 4.190713461727e-13 -7.732956753759e-13 3.838206688087e-15 1.470647843177e-16 1.075926528498e-17 8.206498252158e-19 + 2395 1.396065308234e-11 4.172773503233e-13 -7.668490713412e-13 3.833428231387e-15 1.467783417686e-16 1.086833819343e-17 7.979188227471e-19 + 2396 1.393436917766e-11 4.155200261379e-13 -7.604025521987e-13 3.828648073468e-15 1.464925319338e-16 1.097892187094e-17 7.753799705334e-19 + 2397 1.390782012156e-11 4.137994053952e-13 -7.539584077018e-13 3.823866169113e-15 1.462073532337e-16 1.109101477274e-17 7.529476992659e-19 + 2398 1.388100808839e-11 4.121155197359e-13 -7.475189351979e-13 3.819082472915e-15 1.459228040773e-16 1.120461534018e-17 7.305361526815e-19 + 2399 1.385393526116e-11 4.104684006626e-13 -7.410864396359e-13 3.814296939281e-15 1.456388828616e-16 1.131972200066e-17 7.080591872633e-19 + 2400 1.382660383158e-11 4.088580795399e-13 -7.346632335740e-13 3.809509522430e-15 1.453555879719e-16 1.143633316764e-17 6.854303719412e-19 + 2401 1.379901600007e-11 4.072845875935e-13 -7.282516371880e-13 3.804720176393e-15 1.450729177815e-16 1.155444724064e-17 6.625629877919e-19 + 2402 1.377117397575e-11 4.057479559105e-13 -7.218539782791e-13 3.799928855011e-15 1.447908706521e-16 1.167406260521e-17 6.393700277392e-19 + 2403 1.374307997644e-11 4.042482154389e-13 -7.154725922815e-13 3.795135511938e-15 1.445094449335e-16 1.179517763290e-17 6.157641962547e-19 + 2404 1.371473622872e-11 4.027853969876e-13 -7.091098222704e-13 3.790340100637e-15 1.442286389635e-16 1.191779068124e-17 5.916579090578e-19 + 2405 1.368614496789e-11 4.013595312259e-13 -7.027680189701e-13 3.785542574385e-15 1.439484510682e-16 1.204190009377e-17 5.669632928163e-19 + 2406 1.365730843799e-11 3.999706486833e-13 -6.964495407618e-13 3.780742886266e-15 1.436688795616e-16 1.216750419994e-17 5.415921848463e-19 + 2407 1.362822889185e-11 3.986187797496e-13 -6.901567536913e-13 3.775940989178e-15 1.433899227461e-16 1.229460131518e-17 5.154561328132e-19 + 2408 1.359890859102e-11 3.973039546744e-13 -6.838920314772e-13 3.771136835827e-15 1.431115789119e-16 1.242318974082e-17 4.884663944314e-19 + 2409 1.356934980585e-11 3.960262035668e-13 -6.776577555183e-13 3.766330378729e-15 1.428338463373e-16 1.255326776410e-17 4.605339371651e-19 + 2410 1.353955481549e-11 3.947855563952e-13 -6.714563149023e-13 3.761521570211e-15 1.425567232887e-16 1.268483365816e-17 4.315694379282e-19 + 2411 1.350952590785e-11 3.935820429873e-13 -6.652901064127e-13 3.756710362410e-15 1.422802080207e-16 1.281788568199e-17 4.014832827852e-19 + 2412 1.347926537966e-11 3.924156930297e-13 -6.591615345376e-13 3.751896707269e-15 1.420042987756e-16 1.295242208045e-17 3.701855666508e-19 + 2413 1.344877553648e-11 3.912865360677e-13 -6.530730114771e-13 3.747080556544e-15 1.417289937839e-16 1.308844108422e-17 3.375860929911e-19 + 2414 1.341805869266e-11 3.901946015048e-13 -6.470269571511e-13 3.742261861799e-15 1.414542912640e-16 1.322594090981e-17 3.035943735232e-19 + 2415 1.338711717142e-11 3.891399186031e-13 -6.410257992075e-13 3.737440574404e-15 1.411801894224e-16 1.336491975952e-17 2.681196279160e-19 + 2416 1.335595375201e-11 3.881224430523e-13 -6.350717395669e-13 3.732616664841e-15 1.409066865383e-16 1.350536787366e-17 2.310957879083e-19 + 2417 1.332457301448e-11 3.871418361933e-13 -6.291660524948e-13 3.727790180724e-15 1.406337812189e-16 1.364724363455e-17 1.925566758563e-19 + 2418 1.329298000310e-11 3.861976844566e-13 -6.233097822910e-13 3.722961189127e-15 1.403614721458e-16 1.379049731766e-17 1.525612811964e-19 + 2419 1.326117977990e-11 3.852895726688e-13 -6.175039763700e-13 3.718129757317e-15 1.400897579902e-16 1.393507902605e-17 1.111687976142e-19 + 2420 1.322917742471e-11 3.844170840511e-13 -6.117496852634e-13 3.713295952750e-15 1.398186374128e-16 1.408093869021e-17 6.843862325814e-20 + 2421 1.319697803517e-11 3.835798002177e-13 -6.060479626238e-13 3.708459843078e-15 1.395481090640e-16 1.422802606786e-17 2.443036095385e-20 + 2422 1.316458672675e-11 3.827773011738e-13 -6.003998652270e-13 3.703621496143e-15 1.392781715836e-16 1.437629074377e-17 -2.079618158157e-20 + 2423 1.313200863273e-11 3.820091653138e-13 -5.948064529758e-13 3.698780979979e-15 1.390088236012e-16 1.452568212961e-17 -6.718099152550e-20 + 2424 1.309924890430e-11 3.812749694198e-13 -5.892687889030e-13 3.693938362814e-15 1.387400637356e-16 1.467614946373e-17 -1.146638507356e-19 + 2425 1.306631271048e-11 3.805742886598e-13 -5.837879391741e-13 3.689093713070e-15 1.384718905955e-16 1.482764181100e-17 -1.631843355355e-19 + 2426 1.303320523824e-11 3.799066965860e-13 -5.783649730906e-13 3.684247099359e-15 1.382043027787e-16 1.498010806260e-17 -2.126818165010e-19 + 2427 1.299993169242e-11 3.792717651327e-13 -5.730009630934e-13 3.679398590489e-15 1.379372988728e-16 1.513349693590e-17 -2.630954582455e-19 + 2428 1.296649729584e-11 3.786690646152e-13 -5.676969847654e-13 3.674548255460e-15 1.376708774548e-16 1.528775697423e-17 -3.143642192058e-19 + 2429 1.293290728925e-11 3.780981637275e-13 -5.624541168349e-13 3.669696163466e-15 1.374050370911e-16 1.544283654669e-17 -3.664268514285e-19 + 2430 1.289916693138e-11 3.775586295407e-13 -5.572734411786e-13 3.664842383895e-15 1.371397763376e-16 1.559868384802e-17 -4.192219003551e-19 + 2431 1.286528149895e-11 3.770500275015e-13 -5.521560428247e-13 3.659986986329e-15 1.368750937397e-16 1.575524689839e-17 -4.726877046084e-19 + 2432 1.283125628670e-11 3.765719214302e-13 -5.471030099561e-13 3.655130040543e-15 1.366109878322e-16 1.591247354318e-17 -5.267623957778e-19 + 2433 1.279709660740e-11 3.761238735190e-13 -5.421154339131e-13 3.650271616508e-15 1.363474571392e-16 1.607031145290e-17 -5.813838982056e-19 + 2434 1.276280779185e-11 3.757054443303e-13 -5.371944091972e-13 3.645411784388e-15 1.360845001743e-16 1.622870812289e-17 -6.364899287727e-19 + 2435 1.272839518895e-11 3.753161927952e-13 -5.323410334735e-13 3.640550614543e-15 1.358221154405e-16 1.638761087324e-17 -6.920179966843e-19 + 2436 1.269386416565e-11 3.749556762112e-13 -5.275564075741e-13 3.635688177527e-15 1.355603014302e-16 1.654696684855e-17 -7.479054032556e-19 + 2437 1.265922010704e-11 3.746234502410e-13 -5.228416355013e-13 3.630824544089e-15 1.352990566250e-16 1.670672301775e-17 -8.040892416982e-19 + 2438 1.262446841631e-11 3.743190689103e-13 -5.181978244304e-13 3.625959785174e-15 1.350383794961e-16 1.686682617396e-17 -8.605063969052e-19 + 2439 1.258961451480e-11 3.740420846067e-13 -5.136260847131e-13 3.621093971923e-15 1.347782685038e-16 1.702722293428e-17 -9.170935452375e-19 + 2440 1.255466384201e-11 3.737920480772e-13 -5.091275298803e-13 3.616227175669e-15 1.345187220979e-16 1.718785973960e-17 -9.737871543097e-19 + 2441 1.251962185562e-11 3.735685084269e-13 -5.047032766455e-13 3.611359467946e-15 1.342597387173e-16 1.734868285446e-17 -1.030523482775e-18 + 2442 1.248449403152e-11 3.733710131173e-13 -5.003544449077e-13 3.606490920479e-15 1.340013167905e-16 1.750963836680e-17 -1.087238580113e-18 + 2443 1.244928586379e-11 3.731991079645e-13 -4.960821577544e-13 3.601621605192e-15 1.337434547349e-16 1.767067218786e-17 -1.143868286414e-18 + 2444 1.241400286478e-11 3.730523371370e-13 -4.918875414650e-13 3.596751594204e-15 1.334861509575e-16 1.783173005194e-17 -1.200348232163e-18 + 2445 1.237865056506e-11 3.729302431549e-13 -4.877717255136e-13 3.591880959833e-15 1.332294038544e-16 1.799275751625e-17 -1.256613838031e-18 + 2446 1.234323451350e-11 3.728323668873e-13 -4.837358425723e-13 3.587009774590e-15 1.329732118110e-16 1.815369996071e-17 -1.312600314655e-18 + 2447 1.230776027725e-11 3.727582475509e-13 -4.797810285141e-13 3.582138111185e-15 1.327175732019e-16 1.831450258780e-17 -1.368242662427e-18 + 2448 1.227223344178e-11 3.727074227084e-13 -4.759084224162e-13 3.577266042524e-15 1.324624863909e-16 1.847511042233e-17 -1.423475671279e-18 + 2449 1.223665961087e-11 3.726794282663e-13 -4.721191665629e-13 3.572393641712e-15 1.322079497310e-16 1.863546831129e-17 -1.478233920470e-18 + 2450 1.220104440666e-11 3.726737984739e-13 -4.684144064488e-13 3.567520982049e-15 1.319539615644e-16 1.879552092370e-17 -1.532451778370e-18 + 2451 1.216539346967e-11 3.726900659207e-13 -4.647952907821e-13 3.562648137034e-15 1.317005202225e-16 1.895521275035e-17 -1.586063402246e-18 + 2452 1.212971245879e-11 3.727277615353e-13 -4.612629714871e-13 3.557775180363e-15 1.314476240258e-16 1.911448810369e-17 -1.639002738048e-18 + 2453 1.209400705130e-11 3.727864145835e-13 -4.578186037080e-13 3.552902185931e-15 1.311952712841e-16 1.927329111762e-17 -1.691203520198e-18 + 2454 1.205828294294e-11 3.728655526663e-13 -4.544633458114e-13 3.548029227829e-15 1.309434602961e-16 1.943156574732e-17 -1.742599271370e-18 + 2455 1.202254570430e-11 3.729646924817e-13 -4.511981365609e-13 3.543156387211e-15 1.306921894973e-16 1.958926342948e-17 -1.793131923372e-18 + 2456 1.198680034932e-11 3.730833120517e-13 -4.480230251810e-13 3.538283772916e-15 1.304414579028e-16 1.974636611335e-17 -1.842777736388e-18 + 2457 1.195105176427e-11 3.732208783261e-13 -4.449378373036e-13 3.533411500972e-15 1.301912646671e-16 1.990286336673e-17 -1.891521533896e-18 + 2458 1.191530485110e-11 3.733768564023e-13 -4.419423974325e-13 3.528539687734e-15 1.299416089365e-16 2.005874472794e-17 -1.939348095572e-18 + 2459 1.187956452749e-11 3.735507095233e-13 -4.390365289424e-13 3.523668449895e-15 1.296924898494e-16 2.021399970580e-17 -1.986242157245e-18 + 2460 1.184383572682e-11 3.737418990758e-13 -4.362200540774e-13 3.518797904480e-15 1.294439065360e-16 2.036861777964e-17 -2.032188410859e-18 + 2461 1.180812339821e-11 3.739498845884e-13 -4.334927939497e-13 3.513928168848e-15 1.291958581186e-16 2.052258839923e-17 -2.077171504427e-18 + 2462 1.177243250653e-11 3.741741237296e-13 -4.308545685381e-13 3.509059360693e-15 1.289483437112e-16 2.067590098477e-17 -2.121176041987e-18 + 2463 1.173676803240e-11 3.744140723058e-13 -4.283051966869e-13 3.504191598042e-15 1.287013624199e-16 2.082854492686e-17 -2.164186583565e-18 + 2464 1.170113497225e-11 3.746691842595e-13 -4.258444961044e-13 3.499324999260e-15 1.284549133427e-16 2.098050958647e-17 -2.206187645128e-18 + 2465 1.166553833829e-11 3.749389116673e-13 -4.234722833616e-13 3.494459683045e-15 1.282089955695e-16 2.113178429491e-17 -2.247163698541e-18 + 2466 1.162998315855e-11 3.752227047379e-13 -4.211883738909e-13 3.489595768432e-15 1.279636081820e-16 2.128235835380e-17 -2.287099171527e-18 + 2467 1.159447447688e-11 3.755200118104e-13 -4.189925819846e-13 3.484733374790e-15 1.277187502538e-16 2.143222103506e-17 -2.325978447624e-18 + 2468 1.155901735297e-11 3.758302793522e-13 -4.168847207939e-13 3.479872621827e-15 1.274744208504e-16 2.158136158086e-17 -2.363785866139e-18 + 2469 1.152361686241e-11 3.761529519572e-13 -4.148646023272e-13 3.475013629586e-15 1.272306190292e-16 2.172976920359e-17 -2.400505722112e-18 + 2470 1.148827809661e-11 3.764874723436e-13 -4.129320374489e-13 3.470156518447e-15 1.269873438393e-16 2.187743308585e-17 -2.436122266267e-18 + 2471 1.145300616292e-11 3.768332813524e-13 -4.110868358780e-13 3.465301409127e-15 1.267445943218e-16 2.202434238042e-17 -2.470619704970e-18 + 2472 1.141780618458e-11 3.771898179450e-13 -4.093288061870e-13 3.460448422681e-15 1.265023695095e-16 2.217048621019e-17 -2.503982200194e-18 + 2473 1.138268330074e-11 3.775565192019e-13 -4.076577558001e-13 3.455597680502e-15 1.262606684271e-16 2.231585366822e-17 -2.536193869464e-18 + 2474 1.134764266651e-11 3.779328203201e-13 -4.060734909925e-13 3.450749304322e-15 1.260194900911e-16 2.246043381760e-17 -2.567238785827e-18 + 2475 1.131268945295e-11 3.783181546115e-13 -4.045758168883e-13 3.445903416210e-15 1.257788335096e-16 2.260421569153e-17 -2.597100977799e-18 + 2476 1.127782884710e-11 3.787119535010e-13 -4.031645374599e-13 3.441060138573e-15 1.255386976829e-16 2.274718829321e-17 -2.625764429330e-18 + 2477 1.124306605196e-11 3.791136465247e-13 -4.018394555260e-13 3.436219594160e-15 1.252990816026e-16 2.288934059585e-17 -2.653213079756e-18 + 2478 1.120840628657e-11 3.795226613275e-13 -4.006003727508e-13 3.431381906057e-15 1.250599842523e-16 2.303066154263e-17 -2.679430823761e-18 + 2479 1.117385478596e-11 3.799384236618e-13 -3.994470896423e-13 3.426547197691e-15 1.248214046075e-16 2.317114004670e-17 -2.704401511330e-18 + 2480 1.113941680122e-11 3.803603573850e-13 -3.983794055512e-13 3.421715592829e-15 1.245833416351e-16 2.331076499109e-17 -2.728108947710e-18 + 2481 1.110509759946e-11 3.807878844579e-13 -3.973971186694e-13 3.416887215578e-15 1.243457942939e-16 2.344952522875e-17 -2.750536893366e-18 + 2482 1.107090246388e-11 3.812204249429e-13 -3.965000260286e-13 3.412062190385e-15 1.241087615346e-16 2.358740958248e-17 -2.771669063936e-18 + 2483 1.103683669376e-11 3.816573970016e-13 -3.956879234992e-13 3.407240642040e-15 1.238722422992e-16 2.372440684491e-17 -2.791489130194e-18 + 2484 1.100290560447e-11 3.820982168933e-13 -3.949606057887e-13 3.402422695672e-15 1.236362355219e-16 2.386050577849e-17 -2.809980718003e-18 + 2485 1.096911452750e-11 3.825422989731e-13 -3.943178664407e-13 3.397608476754e-15 1.234007401281e-16 2.399569511542e-17 -2.827127408272e-18 + 2486 1.093546881047e-11 3.829890556896e-13 -3.937594978331e-13 3.392798111099e-15 1.231657550352e-16 2.412996355767e-17 -2.842912736917e-18 + 2487 1.090197381715e-11 3.834378975832e-13 -3.932852911770e-13 3.387991724864e-15 1.229312791522e-16 2.426329977692e-17 -2.857320194815e-18 + 2488 1.086863492746e-11 3.838882332842e-13 -3.928950365157e-13 3.383189444546e-15 1.226973113797e-16 2.439569241456e-17 -2.870333227765e-18 + 2489 1.083545753750e-11 3.843394695110e-13 -3.925885227225e-13 3.378391396987e-15 1.224638506100e-16 2.452713008161e-17 -2.881935236440e-18 + 2490 1.080244705958e-11 3.847910110678e-13 -3.923655375004e-13 3.373597709373e-15 1.222308957270e-16 2.465760135875e-17 -2.892109576350e-18 + 2491 1.076960892219e-11 3.852422608431e-13 -3.922258673798e-13 3.368808509232e-15 1.219984456062e-16 2.478709479627e-17 -2.900839557795e-18 + 2492 1.073694857007e-11 3.856926198073e-13 -3.921692977179e-13 3.364023924435e-15 1.217664991149e-16 2.491559891402e-17 -2.908108445828e-18 + 2493 1.070447146419e-11 3.861414870114e-13 -3.921956126968e-13 3.359244083199e-15 1.215350551117e-16 2.504310220141e-17 -2.913899460205e-18 + 2494 1.067218243054e-11 3.865882939592e-13 -3.923043416898e-13 3.354469106681e-15 1.213041122984e-16 2.516958929963e-17 -2.918209103017e-18 + 2495 1.064008370218e-11 3.870326079509e-13 -3.924939967339e-13 3.349699086716e-15 1.210736687722e-16 2.529502952395e-17 -2.921087227164e-18 + 2496 1.060817686574e-11 3.874740293428e-13 -3.927628305775e-13 3.344934107951e-15 1.208437224705e-16 2.541938827395e-17 -2.922597203038e-18 + 2497 1.057646351160e-11 3.879121572261e-13 -3.931090899006e-13 3.340174255236e-15 1.206142713195e-16 2.554263084508e-17 -2.922802612436e-18 + 2498 1.054494523389e-11 3.883465894259e-13 -3.935310153083e-13 3.335419613621e-15 1.203853132340e-16 2.566472242856e-17 -2.921767248774e-18 + 2499 1.051362363049e-11 3.887769224999e-13 -3.940268413248e-13 3.330670268362e-15 1.201568461176e-16 2.578562811125e-17 -2.919555117297e-18 + 2500 1.048250030306e-11 3.892027517369e-13 -3.945947963870e-13 3.325926304917e-15 1.199288678624e-16 2.590531287556e-17 -2.916230435299e-18 diff --git a/output/explanatory00_parameters.ini b/output/explanatory00_parameters.ini new file mode 100644 index 00000000..69cb5f3c --- /dev/null +++ b/output/explanatory00_parameters.ini @@ -0,0 +1,82 @@ +# List of input/precision parameters actually read +# (all other parameters set to default values) +# Obtained with CLASS v3.0.0 (for developers: svn version 6142M) +# +# This file can be used as the input file of another run +# +output = tCl,pCl,lCl,mPk +modes = s +ic = ad +gauge = synchronous +h = 0.67810 +YHe = BBN +recombination = HyRec +reio_parametrization = reio_camb +z_reio = 7.6711 +reionization_exponent = 1.5 +reionization_width = 0.5 +helium_fullreio_redshift = 3.5 +helium_fullreio_width = 0.5 +T_cmb = 2.7255 +omega_b = 0.02238280 +N_ur = 3.044 +omega_cdm = 0.1201075 +Omega_k = 0. +Omega_dcdmdr = 0.0 +stat_f_idr = 0.875 +Omega_idm_dr = 0. +alpha_idm_dr = 1.5 +beta_idr = 1.5 +Omega_fld = 0 +Omega_scf = 0 +DM_annihilation_efficiency = 0. +DM_decay_fraction = 0. +DM_decay_Gamma = 0. +PBH_evaporation_fraction = 0. +PBH_evaporation_mass = 0. +PBH_accretion_fraction = 0. +PBH_accretion_mass = 0. +PBH_accretion_recipe = disk_accretion +PBH_accretion_ADAF_delta = 1.e-3 +PBH_accretion_eigenvalue = 0.1 +f_eff_type = on_the_spot +chi_type = CK_2004 +Pk_ini_type = analytic_Pk +k_pivot = 0.05 +A_s = 2.100549e-09 +n_s = 0.9660499 +alpha_s = 0. +l_max_scalars = 2500 +P_k_max_h/Mpc = 1. +z_pk = 0 +lensing = yes +sd_branching_approx = exact +sd_PCA_size = 2 +sd_detector_name = PIXIE +sd_only_exotic = no +sd_include_g_distortion = no +sd_add_y = 0. +sd_add_mu = 0. +include_SZ_effect = no +overwrite_root = no +headers = yes +format = class +write_background = no +write_thermodynamics = no +write_primordial = no +write_exotic_injection = no +write_distortions = no +write_parameters = yes +input_verbose = 1 +background_verbose = 1 +thermodynamics_verbose = 1 +perturbations_verbose = 1 +transfer_verbose = 1 +primordial_verbose = 1 +harmonic_verbose = 1 +fourier_verbose = 1 +lensing_verbose = 1 +distortions_verbose = 1 +output_verbose = 1 +root = output/explanatory00_ +# diff --git a/output/explanatory00_pk.dat b/output/explanatory00_pk.dat new file mode 100644 index 00000000..1f6f313f --- /dev/null +++ b/output/explanatory00_pk.dat @@ -0,0 +1,607 @@ +# Matter power spectrum P(k) at redshift z=0 +# for k=1.04206e-05 to 1.08688 h/Mpc, +# number of wavenumbers equal to 603 +# 1:k (h/Mpc) 2:P (Mpc/h)^3 + 1.042057218184e-05 4.833536824491e+01 + 2.326967400489e-05 1.050301576187e+02 + 3.616373012072e-05 1.608006165913e+02 + 4.913726131589e-05 2.162187383067e+02 + 6.222535647458e-05 2.716139599477e+02 + 7.546398391688e-05 3.272355696191e+02 + 8.889031264419e-05 3.832982865617e+02 + 1.025430477450e-04 4.400009723075e+02 + 1.164627842470e-04 4.975362774784e+02 + 1.306923837342e-04 5.560965309799e+02 + 1.452773780572e-04 6.158777787258e+02 + 1.602664044030e-04 6.770830889636e+02 + 1.757116758265e-04 7.399251905951e+02 + 1.916694909805e-04 8.046291161402e+02 + 2.082007861489e-04 8.714346810423e+02 + 2.253717316435e-04 9.405987501970e+02 + 2.432543730071e-04 1.012397808297e+03 + 2.619273150716e-04 1.087130365483e+03 + 2.814764434712e-04 1.165119453767e+03 + 3.019956734005e-04 1.246715030097e+03 + 3.235877088531e-04 1.332296396117e+03 + 3.463647868986e-04 1.422274158370e+03 + 3.704493703696e-04 1.517092127930e+03 + 3.959747383888e-04 1.617228382015e+03 + 4.230854074651e-04 1.723195513786e+03 + 4.519372969266e-04 1.835539776807e+03 + 4.826975324993e-04 1.954838556960e+03 + 5.155437633163e-04 2.081695710385e+03 + 5.506628544687e-04 2.216734376071e+03 + 5.882488150288e-04 2.360586935174e+03 + 6.284998374309e-04 2.513881161511e+03 + 6.716143659670e-04 2.677223381382e+03 + 7.177861864082e-04 2.851177714095e+03 + 7.671986375448e-04 3.036243016755e+03 + 8.200181829124e-04 3.232827844197e+03 + 8.763877302120e-04 3.441225684159e+03 + 9.364202185264e-04 3.661592393280e+03 + 1.000193073614e-03 3.893927900529e+03 + 1.067744125784e-03 4.138065489684e+03 + 1.139069474593e-03 4.393667932772e+03 + 1.214123577175e-03 4.660235849091e+03 + 1.292821568500e-03 4.937121011348e+03 + 1.375043548476e-03 5.223531359847e+03 + 1.460640351075e-03 5.518594573812e+03 + 1.549440186683e-03 5.821393707279e+03 + 1.641255533869e-03 6.130955749831e+03 + 1.735889735687e-03 6.446297963740e+03 + 1.833142894323e-03 6.766452761163e+03 + 1.932816817651e-03 7.090485120729e+03 + 2.034718919664e-03 7.417507865579e+03 + 2.138665094098e-03 7.746690613720e+03 + 2.244481659529e-03 8.077266571621e+03 + 2.352006517222e-03 8.408535461842e+03 + 2.461089677307e-03 8.739861324444e+03 + 2.571593303519e-03 9.070673348751e+03 + 2.683391409940e-03 9.400460410968e+03 + 2.796369321220e-03 9.728768880811e+03 + 2.910422985000e-03 1.005519680605e+04 + 3.025458204250e-03 1.037939113653e+04 + 3.141389839144e-03 1.070104111693e+04 + 3.258141013387e-03 1.101987604160e+04 + 3.375642348360e-03 1.133565958232e+04 + 3.493831239745e-03 1.164818732509e+04 + 3.612651184880e-03 1.195728177999e+04 + 3.732051164558e-03 1.226279311642e+04 + 3.851985079836e-03 1.256458987094e+04 + 3.972411242395e-03 1.286256485227e+04 + 4.093291915663e-03 1.315662357725e+04 + 4.214592903222e-03 1.344669306705e+04 + 4.336283180634e-03 1.373270681861e+04 + 4.458334566790e-03 1.401462002322e+04 + 4.580721430918e-03 1.429239059289e+04 + 4.703420431606e-03 1.456598268679e+04 + 4.826410284458e-03 1.483533815448e+04 + 4.949671555244e-03 1.510053977156e+04 + 5.073186475718e-03 1.536150259552e+04 + 5.196938779567e-03 1.561824464147e+04 + 5.320913556188e-03 1.587080727354e+04 + 5.445097120265e-03 1.611920421147e+04 + 5.569476895355e-03 1.636338523411e+04 + 5.694041309850e-03 1.660265238510e+04 + 5.818779703930e-03 1.683849428376e+04 + 5.943682246250e-03 1.707019337037e+04 + 6.068739859238e-03 1.729772925332e+04 + 6.193944152072e-03 1.752125779978e+04 + 6.319287360436e-03 1.774087831558e+04 + 6.444762292336e-03 1.795665478203e+04 + 6.570362279283e-03 1.816792748014e+04 + 6.696081132274e-03 1.837532754525e+04 + 6.821913102041e-03 1.857874677625e+04 + 6.947852843110e-03 1.877835655442e+04 + 7.073895381277e-03 1.897410720458e+04 + 7.200036084125e-03 1.916598537997e+04 + 7.326270634273e-03 1.935407292450e+04 + 7.452595005081e-03 1.953825120886e+04 + 7.579005438547e-03 1.971889611646e+04 + 7.705498425190e-03 1.989634198832e+04 + 7.832070685705e-03 2.006961382394e+04 + 7.958719154225e-03 2.023924963060e+04 + 8.085440963039e-03 2.040530428996e+04 + 8.212233428601e-03 2.056786812985e+04 + 8.339094038739e-03 2.072690750875e+04 + 8.466020440920e-03 2.088247363103e+04 + 8.593010431497e-03 2.103460824405e+04 + 8.720061945831e-03 2.118335870698e+04 + 8.847173049211e-03 2.132874508738e+04 + 8.974341928512e-03 2.147077434131e+04 + 9.101566884502e-03 2.160954749394e+04 + 9.228846324766e-03 2.174508142846e+04 + 9.356178757171e-03 2.187738695008e+04 + 9.483562783842e-03 2.200653478001e+04 + 9.610997095596e-03 2.213253787683e+04 + 9.738480466796e-03 2.225546737220e+04 + 9.866011750593e-03 2.237523768873e+04 + 9.993589874523e-03 2.249207497978e+04 + 1.012121383643e-02 2.260578261585e+04 + 1.024888270067e-02 2.271657149056e+04 + 1.037659559465e-02 2.282449892402e+04 + 1.050435170552e-02 2.292945261456e+04 + 1.063215027720e-02 2.303147213589e+04 + 1.075999060755e-02 2.313079120245e+04 + 1.088787204581e-02 2.322712766242e+04 + 1.101579399010e-02 2.332081623524e+04 + 1.114375588528e-02 2.341173990971e+04 + 1.127175722076e-02 2.349995350501e+04 + 1.139979752862e-02 2.358547674976e+04 + 1.152787638179e-02 2.366834479697e+04 + 1.165599339233e-02 2.374860868267e+04 + 1.178414820992e-02 2.382627928698e+04 + 1.191234052037e-02 2.390139088347e+04 + 1.204057004429e-02 2.397405503134e+04 + 1.216883653578e-02 2.404402433143e+04 + 1.229713978133e-02 2.411164927619e+04 + 1.242547959869e-02 2.417680707509e+04 + 1.255385583587e-02 2.423959289676e+04 + 1.268226837019e-02 2.429997032442e+04 + 1.281071710742e-02 2.435804286249e+04 + 1.293920198099e-02 2.441372237595e+04 + 1.306772295122e-02 2.446715121785e+04 + 1.319628000464e-02 2.451824833739e+04 + 1.332487315335e-02 2.456715439005e+04 + 1.345350243443e-02 2.461384528000e+04 + 1.358216790942e-02 2.465841528989e+04 + 1.371086966379e-02 2.470068676118e+04 + 1.383960780651e-02 2.474083013473e+04 + 1.396838246965e-02 2.477888338879e+04 + 1.409719380798e-02 2.481489679533e+04 + 1.422604199863e-02 2.484885230410e+04 + 1.435492724081e-02 2.488073466550e+04 + 1.448384975550e-02 2.491060262270e+04 + 1.461280978525e-02 2.493852722651e+04 + 1.474180759393e-02 2.496448795543e+04 + 1.487084346658e-02 2.498853146717e+04 + 1.499991770923e-02 2.501061255500e+04 + 1.512903064877e-02 2.503083880807e+04 + 1.525818263288e-02 2.504919353044e+04 + 1.538737402988e-02 2.506575405272e+04 + 1.551660522876e-02 2.508042353940e+04 + 1.564587663906e-02 2.509339372792e+04 + 1.577518869091e-02 2.510453329431e+04 + 1.590454183503e-02 2.511401429275e+04 + 1.603393654274e-02 2.512171480850e+04 + 1.616337330602e-02 2.512772158979e+04 + 1.629285263760e-02 2.513208506669e+04 + 1.642237507098e-02 2.513473826456e+04 + 1.655194116062e-02 2.513578175475e+04 + 1.668155148201e-02 2.513528952597e+04 + 1.681120663181e-02 2.513314310024e+04 + 1.694090722804e-02 2.512955810500e+04 + 1.707065391023e-02 2.512426844645e+04 + 1.720044733963e-02 2.511752131530e+04 + 1.733028819941e-02 2.510924704999e+04 + 1.746017719491e-02 2.509955657742e+04 + 1.759011505383e-02 2.508840018664e+04 + 1.772010252655e-02 2.507577465894e+04 + 1.785014038640e-02 2.506180280067e+04 + 1.798022942990e-02 2.504555900563e+04 + 1.811037047715e-02 2.502956714582e+04 + 1.824056437210e-02 2.501068249596e+04 + 1.837081198290e-02 2.499122303834e+04 + 1.850111420230e-02 2.497047606338e+04 + 1.863147194798e-02 2.494920183188e+04 + 1.876188616297e-02 2.492579956146e+04 + 1.889235781607e-02 2.490060479896e+04 + 1.902288790223e-02 2.487531172994e+04 + 1.915347744309e-02 2.484766125241e+04 + 1.928412748733e-02 2.481921468762e+04 + 1.941483911126e-02 2.478962458648e+04 + 1.954561341922e-02 2.476027590601e+04 + 1.967645154420e-02 2.472848221697e+04 + 1.980735464830e-02 2.469556785278e+04 + 1.993832392331e-02 2.466111509453e+04 + 2.006936059132e-02 2.462615442054e+04 + 2.020046590525e-02 2.458985221692e+04 + 2.033164114955e-02 2.455368459511e+04 + 2.046288764075e-02 2.451556795334e+04 + 2.059420672820e-02 2.447640397883e+04 + 2.072559979469e-02 2.443522043725e+04 + 2.085706825720e-02 2.439432270948e+04 + 2.098861356758e-02 2.435297772404e+04 + 2.112023721333e-02 2.430923178416e+04 + 2.125194071838e-02 2.426510581070e+04 + 2.138372564387e-02 2.422028748063e+04 + 2.151559358898e-02 2.417453630090e+04 + 2.164754619176e-02 2.412802259822e+04 + 2.177958513006e-02 2.408060723250e+04 + 2.191171212238e-02 2.403232461839e+04 + 2.204392892881e-02 2.398314181297e+04 + 2.217623735203e-02 2.393311039638e+04 + 2.230863923826e-02 2.388248309870e+04 + 2.244113647831e-02 2.383092122589e+04 + 2.257373100860e-02 2.377856010009e+04 + 2.270642481231e-02 2.372562709706e+04 + 2.283921992043e-02 2.367232009822e+04 + 2.297211841295e-02 2.361742165820e+04 + 2.310512242009e-02 2.356296181008e+04 + 2.323823412345e-02 2.350636790893e+04 + 2.337145575734e-02 2.344984072492e+04 + 2.350478961009e-02 2.339256317645e+04 + 2.363823802537e-02 2.333493365614e+04 + 2.377180340358e-02 2.327644010828e+04 + 2.390548820336e-02 2.321725845117e+04 + 2.403929494296e-02 2.315764627217e+04 + 2.417322620187e-02 2.309724288304e+04 + 2.430728462237e-02 2.303720268235e+04 + 2.444147291114e-02 2.297515790182e+04 + 2.457579384096e-02 2.291308991100e+04 + 2.471025025247e-02 2.285136332420e+04 + 2.484484505593e-02 2.278767386835e+04 + 2.497958123313e-02 2.272430322407e+04 + 2.511446183924e-02 2.266002093756e+04 + 2.524949000485e-02 2.259552965182e+04 + 2.538466893798e-02 2.253066637380e+04 + 2.552000192623e-02 2.246529298521e+04 + 2.565549233892e-02 2.239940658816e+04 + 2.579114362942e-02 2.233318144943e+04 + 2.592695933743e-02 2.226650246955e+04 + 2.606294309141e-02 2.219926695879e+04 + 2.619909861112e-02 2.213224338714e+04 + 2.633542971019e-02 2.206378435559e+04 + 2.647194029876e-02 2.199544145544e+04 + 2.660863438635e-02 2.192684971544e+04 + 2.674551608462e-02 2.185778576515e+04 + 2.688258961046e-02 2.178887996095e+04 + 2.701985928899e-02 2.171878514855e+04 + 2.715732955678e-02 2.164917440725e+04 + 2.729500496519e-02 2.157884334350e+04 + 2.743289018375e-02 2.150795863785e+04 + 2.757099000378e-02 2.143695341559e+04 + 2.770930934203e-02 2.136577724694e+04 + 2.784785324453e-02 2.129458346609e+04 + 2.798662689059e-02 2.122268675387e+04 + 2.812563559686e-02 2.115066263779e+04 + 2.826488482170e-02 2.107847785568e+04 + 2.840438016956e-02 2.100597958599e+04 + 2.854412739561e-02 2.093336175176e+04 + 2.868413241059e-02 2.086058185289e+04 + 2.882440128574e-02 2.078742235744e+04 + 2.896494025805e-02 2.071445891640e+04 + 2.910575573559e-02 2.064071971016e+04 + 2.924685430320e-02 2.056707034298e+04 + 2.938824272826e-02 2.049365616272e+04 + 2.952992796684e-02 2.041926830424e+04 + 2.967191717002e-02 2.034558307695e+04 + 2.981421769045e-02 2.027081924768e+04 + 2.995683708927e-02 2.019643442033e+04 + 3.009978314329e-02 2.012182993630e+04 + 3.024306385244e-02 2.004727965805e+04 + 3.038668744756e-02 1.997278340556e+04 + 3.053066239858e-02 1.989749291749e+04 + 3.067499742301e-02 1.982248595732e+04 + 3.081970149478e-02 1.974740852500e+04 + 3.096478385354e-02 1.967220025385e+04 + 3.111025401436e-02 1.959688851936e+04 + 3.125612177782e-02 1.952152967889e+04 + 3.140239724066e-02 1.944637270029e+04 + 3.154909080682e-02 1.937078230478e+04 + 3.169621319907e-02 1.929503184466e+04 + 3.184377547117e-02 1.921940481189e+04 + 3.199178902060e-02 1.914392325995e+04 + 3.214026560188e-02 1.906804379942e+04 + 3.228921734063e-02 1.899229419698e+04 + 3.243865674817e-02 1.891655754064e+04 + 3.258859673702e-02 1.884088643711e+04 + 3.273905063701e-02 1.876487585492e+04 + 3.289003221233e-02 1.868891591393e+04 + 3.304155567938e-02 1.861302315119e+04 + 3.319363572557e-02 1.853738101738e+04 + 3.334628752909e-02 1.846144391186e+04 + 3.349952677970e-02 1.838545370907e+04 + 3.365336970071e-02 1.830935307242e+04 + 3.380783307202e-02 1.823344914533e+04 + 3.396293425452e-02 1.815777515054e+04 + 3.411869121576e-02 1.808193637077e+04 + 3.427512255711e-02 1.800595128623e+04 + 3.443224754235e-02 1.792999363908e+04 + 3.459008612799e-02 1.785433843862e+04 + 3.474865899530e-02 1.777827946289e+04 + 3.490798758412e-02 1.770242166885e+04 + 3.506809412879e-02 1.762681698801e+04 + 3.522900169613e-02 1.755109918450e+04 + 3.539073422568e-02 1.747533695690e+04 + 3.555331657252e-02 1.739962756712e+04 + 3.571677455255e-02 1.732395132902e+04 + 3.588113499075e-02 1.724830358311e+04 + 3.604642577239e-02 1.717274919836e+04 + 3.621267589753e-02 1.709721414606e+04 + 3.637991553910e-02 1.702178358303e+04 + 3.654817610468e-02 1.694618397634e+04 + 3.671749030252e-02 1.687105388652e+04 + 3.688789221183e-02 1.679550090167e+04 + 3.705941735803e-02 1.672005548787e+04 + 3.723210279303e-02 1.664476467380e+04 + 3.740598718128e-02 1.656942147373e+04 + 3.758111089180e-02 1.649414622545e+04 + 3.775751609685e-02 1.641904869798e+04 + 3.793524687789e-02 1.634398562538e+04 + 3.811434933918e-02 1.626866111337e+04 + 3.829487173010e-02 1.619358842999e+04 + 3.847686457664e-02 1.611849915521e+04 + 3.866038082311e-02 1.604336032666e+04 + 3.884547598486e-02 1.596816358584e+04 + 3.903220831329e-02 1.589331653849e+04 + 3.922063897405e-02 1.581820428961e+04 + 3.941083223992e-02 1.574326032509e+04 + 3.960285569973e-02 1.566815526202e+04 + 3.979678048502e-02 1.559315845626e+04 + 3.999268151608e-02 1.551845480405e+04 + 4.019063776965e-02 1.544329042863e+04 + 4.039073257029e-02 1.536837867359e+04 + 4.059305390817e-02 1.529337798987e+04 + 4.079769478607e-02 1.521797988621e+04 + 4.100475359884e-02 1.514313103320e+04 + 4.121433454906e-02 1.506813921187e+04 + 4.142654810291e-02 1.499279003393e+04 + 4.164151149122e-02 1.491750192056e+04 + 4.185934926079e-02 1.484237172400e+04 + 4.208019388236e-02 1.476706198988e+04 + 4.230418642205e-02 1.469155063513e+04 + 4.253147728441e-02 1.461601086611e+04 + 4.276222703627e-02 1.454053646009e+04 + 4.299660732195e-02 1.446458966737e+04 + 4.323480188214e-02 1.438894224775e+04 + 4.347700769062e-02 1.431273223186e+04 + 4.372343622522e-02 1.423657843601e+04 + 4.397431489222e-02 1.416025994813e+04 + 4.422988862660e-02 1.408369961799e+04 + 4.449042169413e-02 1.400692832677e+04 + 4.475619972638e-02 1.393015101665e+04 + 4.502753202450e-02 1.385274650335e+04 + 4.530475417505e-02 1.377527149510e+04 + 4.558823102848e-02 1.369755699163e+04 + 4.587836010100e-02 1.361959598620e+04 + 4.617557547222e-02 1.354100133275e+04 + 4.648035226564e-02 1.346220992606e+04 + 4.679321181660e-02 1.338300476893e+04 + 4.711472765467e-02 1.330315512513e+04 + 4.744553245416e-02 1.322263749283e+04 + 4.778632614094e-02 1.314219345351e+04 + 4.813788538553e-02 1.306082428758e+04 + 4.850107476571e-02 1.297859977045e+04 + 4.887685994888e-02 1.289551876161e+04 + 4.926632332852e-02 1.281185468560e+04 + 4.967068265651e-02 1.272741196214e+04 + 5.009131334912e-02 1.264191013172e+04 + 5.052977531795e-02 1.255532946875e+04 + 5.098784539853e-02 1.246746784544e+04 + 5.146755673066e-02 1.237854325893e+04 + 5.197124680201e-02 1.228826745891e+04 + 5.250161631623e-02 1.219602041354e+04 + 5.306180160355e-02 1.210205144477e+04 + 5.365546396471e-02 1.200584154511e+04 + 5.428690011210e-02 1.190685754403e+04 + 5.496117867942e-02 1.180501238291e+04 + 5.568430843301e-02 1.169977121469e+04 + 5.646344392505e-02 1.159045439043e+04 + 5.730713301712e-02 1.147627076999e+04 + 5.822560625510e-02 1.135619510667e+04 + 5.923109724979e-02 1.122879161394e+04 + 6.033816028632e-02 1.109122992973e+04 + 6.156390727847e-02 1.094282052824e+04 + 6.292800945062e-02 1.077866632564e+04 + 6.445219382413e-02 1.059446963467e+04 + 6.615883570765e-02 1.038500047373e+04 + 6.806821485011e-02 1.014352789937e+04 + 7.019430761689e-02 9.861749841434e+03 + 7.253989760666e-02 9.534264356822e+03 + 7.509309020806e-02 9.157735192230e+03 + 7.782776211508e-02 8.734872942893e+03 + 8.070867058818e-02 8.275401843882e+03 + 8.369884961233e-02 7.795277094902e+03 + 8.676568551487e-02 7.312711250061e+03 + 8.988376956840e-02 6.846616988313e+03 + 9.303496327115e-02 6.412829052936e+03 + 9.620706232890e-02 6.022857609611e+03 + 9.939216718054e-02 5.683441041201e+03 + 1.025852892689e-01 5.396360052533e+03 + 1.057833265459e-01 5.159302735098e+03 + 1.089843682842e-01 4.966667414926e+03 + 1.121872443109e-01 4.810140185089e+03 + 1.153912404194e-01 4.680686194450e+03 + 1.185959215265e-01 4.568212403765e+03 + 1.218010228240e-01 4.463087964709e+03 + 1.250063831652e-01 4.357167653133e+03 + 1.282119044384e-01 4.243727560682e+03 + 1.314175268407e-01 4.118491115341e+03 + 1.346232138469e-01 3.980346317897e+03 + 1.378289430794e-01 3.830044327320e+03 + 1.410347007634e-01 3.670220759374e+03 + 1.442404783600e-01 3.505330197165e+03 + 1.474462705223e-01 3.340222385125e+03 + 1.506520738527e-01 3.180145400011e+03 + 1.538578861492e-01 3.029431919329e+03 + 1.570637059458e-01 2.891525728351e+03 + 1.602695322328e-01 2.768725010528e+03 + 1.634753642870e-01 2.661954542641e+03 + 1.666812015668e-01 2.570999128776e+03 + 1.698870436485e-01 2.494396462146e+03 + 1.730928901867e-01 2.430221932311e+03 + 1.762987408898e-01 2.375602668454e+03 + 1.795045955044e-01 2.327467291360e+03 + 1.827104538059e-01 2.283147108591e+03 + 1.859163155913e-01 2.240092104379e+03 + 1.891221806758e-01 2.195401836684e+03 + 1.923280488890e-01 2.147525078846e+03 + 1.955339200736e-01 2.095193449715e+03 + 1.987397940831e-01 2.038337588029e+03 + 2.019456707812e-01 1.977533236408e+03 + 2.051515500402e-01 1.913901710326e+03 + 2.083574317407e-01 1.849119132526e+03 + 2.115633157707e-01 1.784738194543e+03 + 2.147692020251e-01 1.722332686309e+03 + 2.179750904048e-01 1.663158141122e+03 + 2.211809808167e-01 1.608045409887e+03 + 2.243868731732e-01 1.557867566528e+03 + 2.275927673914e-01 1.512674071748e+03 + 2.307986633932e-01 1.472639879964e+03 + 2.340045611048e-01 1.437280728317e+03 + 2.372104604564e-01 1.406071954469e+03 + 2.404163613820e-01 1.378222733894e+03 + 2.436222638190e-01 1.352609358812e+03 + 2.468281677081e-01 1.328366986804e+03 + 2.500340729932e-01 1.304637281536e+03 + 2.532399796209e-01 1.280620373229e+03 + 2.564458875405e-01 1.255828835933e+03 + 2.596517967039e-01 1.229993112505e+03 + 2.628577070652e-01 1.202962724180e+03 + 2.660636185810e-01 1.174903888205e+03 + 2.692695312098e-01 1.146055472942e+03 + 2.724754449119e-01 1.116835804676e+03 + 2.756813596499e-01 1.087653227957e+03 + 2.788872753877e-01 1.058987697977e+03 + 2.820931920910e-01 1.031427078370e+03 + 2.852991097272e-01 1.005292056269e+03 + 2.885050282649e-01 9.808111511198e+02 + 2.917109476744e-01 9.581762339647e+02 + 2.949168679269e-01 9.373434238303e+02 + 2.981227889952e-01 9.182181558775e+02 + 3.013287108530e-01 9.005424621468e+02 + 3.045346334754e-01 8.840842353515e+02 + 3.077405568383e-01 8.685859301044e+02 + 3.109464809186e-01 8.537707180794e+02 + 3.141524056943e-01 8.392754626393e+02 + 3.173583311443e-01 8.249665525769e+02 + 3.205642572481e-01 8.106422683957e+02 + 3.237701839863e-01 7.960553396598e+02 + 3.269761113401e-01 7.812894846188e+02 + 3.301820392915e-01 7.662373509057e+02 + 3.333879678232e-01 7.510691100766e+02 + 3.365938969185e-01 7.358753070324e+02 + 3.397998265614e-01 7.208423630949e+02 + 3.430057567365e-01 7.060018338879e+02 + 3.462116874289e-01 6.915837098154e+02 + 3.494176186242e-01 6.776630887599e+02 + 3.526235503089e-01 6.643187947598e+02 + 3.558294824694e-01 6.516071262699e+02 + 3.590354150931e-01 6.395425548652e+02 + 3.622413481676e-01 6.281305982685e+02 + 3.654472816809e-01 6.173223652523e+02 + 3.686532156216e-01 6.070646097275e+02 + 3.718591499786e-01 5.972191757341e+02 + 3.750650847412e-01 5.877257034187e+02 + 3.782710198989e-01 5.784185965898e+02 + 3.814769554418e-01 5.693108608972e+02 + 3.846828913603e-01 5.602615537385e+02 + 3.878888276449e-01 5.513013075950e+02 + 3.910947642867e-01 5.423773699170e+02 + 3.943007012768e-01 5.334830902619e+02 + 3.975066386069e-01 5.246381909516e+02 + 4.007125762686e-01 5.158317219583e+02 + 4.039185142542e-01 5.071218175188e+02 + 4.071244525559e-01 4.985406608405e+02 + 4.103303911663e-01 4.901355281790e+02 + 4.135363300782e-01 4.819626406436e+02 + 4.167422692845e-01 4.740007412062e+02 + 4.199482087786e-01 4.662870766765e+02 + 4.231541485538e-01 4.588376526242e+02 + 4.263600886038e-01 4.516368112481e+02 + 4.295660289224e-01 4.446749362997e+02 + 4.327719695037e-01 4.379460608378e+02 + 4.359779103418e-01 4.314258222087e+02 + 4.391838514310e-01 4.250965139892e+02 + 4.423897927659e-01 4.189317096668e+02 + 4.455957343412e-01 4.128913432757e+02 + 4.488016761516e-01 4.069796227944e+02 + 4.520076181922e-01 4.011534188661e+02 + 4.552135604582e-01 3.953982958253e+02 + 4.584195029446e-01 3.897060856317e+02 + 4.616254456470e-01 3.840770837341e+02 + 4.648313885609e-01 3.785134102091e+02 + 4.680373316818e-01 3.730269671120e+02 + 4.712432750056e-01 3.676157422371e+02 + 4.744492185282e-01 3.622879561581e+02 + 4.776551622454e-01 3.570682933961e+02 + 4.808611061535e-01 3.519327514330e+02 + 4.840670502485e-01 3.469134195113e+02 + 4.872729945268e-01 3.420160329932e+02 + 4.904789389849e-01 3.372470086225e+02 + 4.936848836191e-01 3.326095318071e+02 + 4.968908284260e-01 3.280940139008e+02 + 5.000967734024e-01 3.236908344222e+02 + 5.033027185450e-01 3.193870036018e+02 + 5.065086638506e-01 3.151744876008e+02 + 5.097146093161e-01 3.110435324804e+02 + 5.129205549385e-01 3.069793459792e+02 + 5.161265007149e-01 3.029966445242e+02 + 5.193324466425e-01 2.990778657448e+02 + 5.225383927183e-01 2.952295078332e+02 + 5.257443389398e-01 2.914161367511e+02 + 5.289502853042e-01 2.876531110905e+02 + 5.321562318090e-01 2.839396150080e+02 + 5.353621784517e-01 2.802818602953e+02 + 5.385681252297e-01 2.766801535387e+02 + 5.417740721406e-01 2.731311498063e+02 + 5.449800191822e-01 2.696701872096e+02 + 5.481859663521e-01 2.662653150304e+02 + 5.513919136480e-01 2.629260279311e+02 + 5.545978610678e-01 2.596473598942e+02 + 5.578038086093e-01 2.564302269517e+02 + 5.610097562705e-01 2.532765786879e+02 + 5.642157040493e-01 2.501859255773e+02 + 5.674216519436e-01 2.471550150370e+02 + 5.706275999516e-01 2.441841790674e+02 + 5.738335480713e-01 2.412671980106e+02 + 5.770394963008e-01 2.383993245589e+02 + 5.802454446384e-01 2.355765523842e+02 + 5.834513930823e-01 2.327963830160e+02 + 5.866573416306e-01 2.300585054981e+02 + 5.898632902818e-01 2.273630883811e+02 + 5.930692390340e-01 2.247099201806e+02 + 5.962751878858e-01 2.220977153665e+02 + 5.994811368354e-01 2.195243133591e+02 + 6.026870858813e-01 2.169878950817e+02 + 6.058930350221e-01 2.144872017413e+02 + 6.090989842561e-01 2.120229970108e+02 + 6.123049335819e-01 2.095971979736e+02 + 6.155108829981e-01 2.072117621711e+02 + 6.187168325033e-01 2.048677742487e+02 + 6.219227820961e-01 2.025646639364e+02 + 6.251287317751e-01 2.003006080622e+02 + 6.283346815390e-01 1.980731846965e+02 + 6.315406313866e-01 1.958808366447e+02 + 6.347465813164e-01 1.937222197547e+02 + 6.379525313274e-01 1.915985510456e+02 + 6.411584814183e-01 1.895093001895e+02 + 6.443644315879e-01 1.874541855524e+02 + 6.475703818350e-01 1.854313810223e+02 + 6.507763321584e-01 1.834385863787e+02 + 6.539822825571e-01 1.814737268966e+02 + 6.571882330300e-01 1.795350821812e+02 + 6.603941835759e-01 1.776228494329e+02 + 6.636001341937e-01 1.757376464023e+02 + 6.668060848826e-01 1.738802889235e+02 + 6.700120356414e-01 1.720510215203e+02 + 6.732179864691e-01 1.702498360888e+02 + 6.764239373647e-01 1.684742451551e+02 + 6.796298883274e-01 1.667231914749e+02 + 6.828358393561e-01 1.649961852594e+02 + 6.860417904499e-01 1.632933545732e+02 + 6.892477416079e-01 1.616154379283e+02 + 6.924536928292e-01 1.599632900239e+02 + 6.956596441129e-01 1.583366913077e+02 + 6.988655954582e-01 1.567348696150e+02 + 7.020715468642e-01 1.551563458889e+02 + 7.052774983302e-01 1.535994397194e+02 + 7.084834498552e-01 1.520631548667e+02 + 7.116894014384e-01 1.505475577142e+02 + 7.148953530792e-01 1.490529309361e+02 + 7.181013047767e-01 1.475798509425e+02 + 7.213072565302e-01 1.461280381951e+02 + 7.245132083389e-01 1.446966039696e+02 + 7.277191602020e-01 1.432843280890e+02 + 7.309251121190e-01 1.418899805298e+02 + 7.341310640890e-01 1.405132122797e+02 + 7.373370161113e-01 1.391537249174e+02 + 7.405429681854e-01 1.378130863225e+02 + 7.437489203104e-01 1.364907839721e+02 + 7.469548724859e-01 1.351872781690e+02 + 7.501608247110e-01 1.339019639164e+02 + 7.533667769852e-01 1.326336879507e+02 + 8.234874576443e-01 1.086168973762e+02 + 9.251239653234e-01 8.340952862707e+01 + 1.086877471844e+00 5.758170168318e+01 diff --git a/output/explanatory00_unused_parameters b/output/explanatory00_unused_parameters new file mode 100644 index 00000000..4b9e2c1e --- /dev/null +++ b/output/explanatory00_unused_parameters @@ -0,0 +1,73 @@ +# List of input/precision parameters passed +# but not used (just for info) +# +binned_reio_num = 3 +binned_reio_z = 8,12,16 +binned_reio_xe = 0.8,0.2,0.1 +binned_reio_step_sharpness = 0.3 +many_tanh_num = 2 +many_tanh_z = 3.5,11.3 +many_tanh_xe = -2,-1 +many_tanh_width = 0.5 +reio_inter_num = 8 +reio_inter_z = 0, 3, 4, 8, 9, 10, 11, 12 +reio_inter_xe = -2, -2, -1, -1, 0.9, 0.5, 0.1, 0 +ncdm_psd_filenames = psd_FD_single.dat +m_ncdm = 0.06 +Gamma_dcdm = 0.0 +tau_dcdm = 0.0 +m_idm = 1.0e11 +a_idm_dr = 0. +use_ppf = yes +c_gamma_over_c_fld = 0.4 +fluid_equation_of_state = CLP +scf_parameters = 10.0, 0.0, 0.0, 0.0, 100.0, 0.0 +attractor_ic_scf = yes +scf_tuning_index = 0 +DM_annihilation_variation = 0. +DM_annihilation_z = 1000 +DM_annihilation_zmax = 2500 +DM_annihilation_zmin = 30 +DM_annihilation_f_halo = 0 +DM_annihilation_z_halo = 8 +PBH_accretion_relative_velocities = -1. +f_bi = 1. +n_bi = 1.5 +f_cdi = 1. +f_nid = 1. +n_nid = 2. +alpha_nid = 0.01 +c_ad_bi = 0.5 +c_ad_cdi = -1. +c_bi_nid = 1. +r = 1. +n_t = scc +alpha_t = scc +potential = polynomial +V_0 = 1.e-13 +V_1 = -1.e-14 +V_2 = 7.e-14 +H_0 = 1.e-13 +H_1 = -1.e-14 +H_2 = 7.e-14 +full_potential = polynomial +k1 = 0.002 +k2 = 0.1 +P_{RR}^1 = 2.3e-9 +P_{RR}^2 = 2.3e-9 +P_{II}^1 = 1.e-11 +P_{II}^2 = 1.e-11 +P_{RI}^1 = -1.e-13 +|P_{RI}^2| = 1.e-13 +command = cat external_Pk/Pk_example.dat +custom1 = 0.05 +custom2 = 2.215e-9 +custom3 = 0.9624 +custom4 = 2e-10 +custom5 = -0.1 +l_max_tensors = 500 +selection = gaussian +selection_mean = 0.98,0.99,1.0,1.1,1.2 +selection_width = 0.1 +non_diagonal = 4 +write_warnings = no diff --git a/plot_CLASS_output.m b/plot_CLASS_output.m index ddf8c338..396f5b46 100644 --- a/plot_CLASS_output.m +++ b/plot_CLASS_output.m @@ -1,186 +1,186 @@ -function plot_CLASS_output(datafiles,varargin) -% plot_CLASS_output(datafiles,selection,options) -% plot_CLASS_output(datafiles,selection) -% plot_CLASS_output(datafiles,options) -% plot_CLASS_output(datafiles) -% Thomas Tram, 12th of March 2014. thomas.tram@epfl.ch -% Small plot utility for plotting background, thermodynamics and -% perturbations files. (Compatibility with other files may be added later.) -% Examples: -% -% plot_CLASS_output('c:\class\test_background.dat') -% plots every column of data in the background file -% 'c:\class\test_background.dat' and saves the plot in myplot.eps. -% -% -% plot_CLASS_output('c:\class\test_background.dat',{'cdm','ur','crit'}) -% plots every mention of either 'cdm', 'ur' or 'crit' in the column titles. -% -% -% plot_CLASS_output('c:\class\test_perturbations_k0_s.dat',{'delta'}) -% plots every mention of 'delta' in the column titles. Convenient for -% plotting the density perturbations of all species. -% -% -% plot_CLASS_output({'c:\class\model1_background.dat','c:\class\model2_background.dat'},{'rho'}) -% plots all mentions of rho in the files listed in the first cell array. -% -% -% plot_CLASS_output('c:\class\test_perturbations_k0_s.dat',{'delta'},options) -% options follows the usual MATLAB convention of -% ...,paramname1,paramval1, paramname2, paramval2,... -% -% Names: Values: -% ---------------------------------------------------------------------- -% EpsFilename Filename for output -% xvariable 'a' or 'z' (will convert one from the other) -% xscale 'log' or 'linear' -% yscale 'log' or 'linear' -% xlim [xmin xmax] - -if mod(nargin,2)==0 - opt = cell2struct(varargin(3:2:end),lower(varargin(2:2:end)),2); - if ischar(varargin{1}) - opt.selection = varargin(1); - else - opt.selection = varargin{1}; - end -else - opt = cell2struct(varargin(2:2:end),lower(varargin(1:2:end)),2); - opt.selection = 'all'; -end -%Filename for saving plot: -if isfield(opt,'epsfilename'); - epsfilename = opt.epsfilename; -else - epsfilename = 'myplot'; -end - -%================================================================= -close all - -if ischar(datafiles) - datafiles = {datafiles}; -end - - -linestyles = {'-','--',':','-.'}; -legendcell = {}; - -xmin = inf; -xmax = -inf; -for fileidx = 1:length(datafiles) - linestyle = linestyles{mod(fileidx-1,length(linestyles))+1}; - datafile = datafiles{fileidx}; - - %Find column titles: - fid = fopen(datafile); - titleline = 0; - tline = fgetl(fid); - while tline(1)=='#' - titleline = titleline+1; - tline_old = tline; - tline = fgetl(fid); - end - fclose(fid); - -% S=importdata(datafile); -% data = S.data; -% titlestring = S.textdata{titleline}; - titlestring = tline_old; - S = importdata(datafile,' ',titleline); - data = S.data; - - %remove leading # - titlestring = titlestring(2:end); - colonidx = [find(titlestring==':'),length(titlestring)+1]; - for j=1:(length(colonidx)-1) - cellnames{j} = strtrim(titlestring(colonidx(j)+1:colonidx(j+1)-3)); - end - - %Determine independent variable: - x = data(:,1); - xlab = cellnames{1}; - xscale = 'linear'; - - if (~isempty(strfind(cellnames{1},'z'))) - xscale = 'log'; - %First column is z - if (~isfield(opt,'xvariable')) || (~strcmp(opt.xvariable,'z')) - %if the field is empty or the field is not 'z' change to scale factor a - x = 1./(x+1); - xlab = 'a'; - end - end - - if (~isempty(strfind(cellnames{1},'a'))) - xscale = 'log'; - %First column is a - if (isfield(opt,'xvariable')) && (strcmp(opt.xvariable,'z')) - %Change to z - x = 1./x-1; - xlab = 'z'; - end - end - - if isfield(opt,'xscale') - xscale = opt.xscale; - end - - - if strcmp(opt.selection,'all') - indices = 2:length(cellnames); - else - tmp = []; - for i=1:length(opt.selection) - tmp2=strfind(cellnames,opt.selection{i}); - for j=1:length(tmp2) - if ~isempty(tmp2{j}) - tmp = [tmp,j]; - end - end - end - indices = unique(tmp); - end - - if isempty(indices) - thenames = ''; - for i=1:length(opt.selection) - thenames = [thenames,opt.selection{i},', ']; - end - error(['No indices corresponding to the name(s) {',thenames,'} were found!']) - end - - xmin = min(xmin,min(x)); - xmax = max(xmax,max(x)); - if isfield(opt,'xlim') - %We need to restrict plotting: - xl = opt.xlim; - mask = (x>=xl(1))&(x<=xl(2)); - else - mask = true(size(x)); - end - - %semilogy(tau,data(:,indices)) - loglog(x(mask),abs(data(mask,indices)),'LineWidth',2,'LineStyle',linestyle) - - hold on - legendcell = [legendcell,cellnames(indices)]; -end - -legend(legendcell,'Interpreter','none','Location','best') -yl = ylim; -%Fixes x label when y values go to 0 in log plot: -ylim([max(1e-100,yl(1)),yl(2)]) -xlabel(xlab) -set(gca,'xscale',xscale); -if isfield(opt,'yscale') - set(gca,'yscale',opt.yscale); -end -if isfield(opt,'xlim') - xlim(opt.xlim) -else - xlim([xmin,xmax]) -end - +function plot_CLASS_output(datafiles,varargin) +% plot_CLASS_output(datafiles,selection,options) +% plot_CLASS_output(datafiles,selection) +% plot_CLASS_output(datafiles,options) +% plot_CLASS_output(datafiles) +% Thomas Tram, 12th of March 2014. thomas.tram@epfl.ch +% Small plot utility for plotting background, thermodynamics and +% perturbations files. (Compatibility with other files may be added later.) +% Examples: +% +% plot_CLASS_output('c:\class\test_background.dat') +% plots every column of data in the background file +% 'c:\class\test_background.dat' and saves the plot in myplot.eps. +% +% +% plot_CLASS_output('c:\class\test_background.dat',{'cdm','ur','crit'}) +% plots every mention of either 'cdm', 'ur' or 'crit' in the column titles. +% +% +% plot_CLASS_output('c:\class\test_perturbations_k0_s.dat',{'delta'}) +% plots every mention of 'delta' in the column titles. Convenient for +% plotting the density perturbations of all species. +% +% +% plot_CLASS_output({'c:\class\model1_background.dat','c:\class\model2_background.dat'},{'rho'}) +% plots all mentions of rho in the files listed in the first cell array. +% +% +% plot_CLASS_output('c:\class\test_perturbations_k0_s.dat',{'delta'},options) +% options follows the usual MATLAB convention of +% ...,paramname1,paramval1, paramname2, paramval2,... +% +% Names: Values: +% ---------------------------------------------------------------------- +% EpsFilename Filename for output +% xvariable 'a' or 'z' (will convert one from the other) +% xscale 'log' or 'linear' +% yscale 'log' or 'linear' +% xlim [xmin xmax] + +if mod(nargin,2)==0 + opt = cell2struct(varargin(3:2:end),lower(varargin(2:2:end)),2); + if ischar(varargin{1}) + opt.selection = varargin(1); + else + opt.selection = varargin{1}; + end +else + opt = cell2struct(varargin(2:2:end),lower(varargin(1:2:end)),2); + opt.selection = 'all'; +end +%Filename for saving plot: +if isfield(opt,'epsfilename'); + epsfilename = opt.epsfilename; +else + epsfilename = 'myplot'; +end + +%================================================================= +close all + +if ischar(datafiles) + datafiles = {datafiles}; +end + + +linestyles = {'-','--',':','-.'}; +legendcell = {}; + +xmin = inf; +xmax = -inf; +for fileidx = 1:length(datafiles) + linestyle = linestyles{mod(fileidx-1,length(linestyles))+1}; + datafile = datafiles{fileidx}; + + %Find column titles: + fid = fopen(datafile); + titleline = 0; + tline = fgetl(fid); + while tline(1)=='#' + titleline = titleline+1; + tline_old = tline; + tline = fgetl(fid); + end + fclose(fid); + +% S=importdata(datafile); +% data = S.data; +% titlestring = S.textdata{titleline}; + titlestring = tline_old; + S = importdata(datafile,' ',titleline); + data = S.data; + + %remove leading # + titlestring = titlestring(2:end); + colonidx = [find(titlestring==':'),length(titlestring)+1]; + for j=1:(length(colonidx)-1) + cellnames{j} = strtrim(titlestring(colonidx(j)+1:colonidx(j+1)-3)); + end + + %Determine independent variable: + x = data(:,1); + xlab = cellnames{1}; + xscale = 'linear'; + + if (~isempty(strfind(cellnames{1},'z'))) + xscale = 'log'; + %First column is z + if (~isfield(opt,'xvariable')) || (~strcmp(opt.xvariable,'z')) + %if the field is empty or the field is not 'z' change to scale factor a + x = 1./(x+1); + xlab = 'a'; + end + end + + if (~isempty(strfind(cellnames{1},'a'))) + xscale = 'log'; + %First column is a + if (isfield(opt,'xvariable')) && (strcmp(opt.xvariable,'z')) + %Change to z + x = 1./x-1; + xlab = 'z'; + end + end + + if isfield(opt,'xscale') + xscale = opt.xscale; + end + + + if strcmp(opt.selection,'all') + indices = 2:length(cellnames); + else + tmp = []; + for i=1:length(opt.selection) + tmp2=strfind(cellnames,opt.selection{i}); + for j=1:length(tmp2) + if ~isempty(tmp2{j}) + tmp = [tmp,j]; + end + end + end + indices = unique(tmp); + end + + if isempty(indices) + thenames = ''; + for i=1:length(opt.selection) + thenames = [thenames,opt.selection{i},', ']; + end + error(['No indices corresponding to the name(s) {',thenames,'} were found!']) + end + + xmin = min(xmin,min(x)); + xmax = max(xmax,max(x)); + if isfield(opt,'xlim') + %We need to restrict plotting: + xl = opt.xlim; + mask = (x>=xl(1))&(x<=xl(2)); + else + mask = true(size(x)); + end + + %semilogy(tau,data(:,indices)) + loglog(x(mask),abs(data(mask,indices)),'LineWidth',2,'LineStyle',linestyle) + + hold on + legendcell = [legendcell,cellnames(indices)]; +end + +legend(legendcell,'Interpreter','none','Location','best') +yl = ylim; +%Fixes x label when y values go to 0 in log plot: +ylim([max(1e-100,yl(1)),yl(2)]) +xlabel(xlab) +set(gca,'xscale',xscale); +if isfield(opt,'yscale') + set(gca,'yscale',opt.yscale); +end +if isfield(opt,'xlim') + xlim(opt.xlim) +else + xlim([xmin,xmax]) +end + saveas(gcf,[epsfilename,'.eps'],'epsc2') \ No newline at end of file diff --git a/psd_FD_single.dat b/psd_FD_single.dat index 90a33b4a..cd1c4594 100644 --- a/psd_FD_single.dat +++ b/psd_FD_single.dat @@ -1,100 +1,100 @@ - 0.0000000e+000 4.0314418e-003 - 1.2121212e-001 3.7874107e-003 - 2.4242424e-001 3.5451614e-003 - 3.6363636e-001 3.3064240e-003 - 4.8484848e-001 3.0728285e-003 - 6.0606061e-001 2.8458621e-003 - 7.2727273e-001 2.6268350e-003 - 8.4848485e-001 2.4168557e-003 - 9.6969697e-001 2.2168165e-003 - 1.0909091e+000 2.0273889e-003 - 1.2121212e+000 1.8490284e-003 - 1.3333333e+000 1.6819863e-003 - 1.4545455e+000 1.5263281e-003 - 1.5757576e+000 1.3819553e-003 - 1.6969697e+000 1.2486299e-003 - 1.8181818e+000 1.1259993e-003 - 1.9393939e+000 1.0136210e-003 - 2.0606061e+000 9.1098552e-004 - 2.1818182e+000 8.1753726e-004 - 2.3030303e+000 7.3269281e-004 - 2.4242424e+000 6.5585650e-004 - 2.5454545e+000 5.8643326e-004 - 2.6666667e+000 5.2383885e-004 - 2.7878788e+000 4.6750783e-004 - 2.9090909e+000 4.1689940e-004 - 3.0303030e+000 3.7150144e-004 - 3.1515152e+000 3.3083316e-004 - 3.2727273e+000 2.9444641e-004 - 3.3939394e+000 2.6192609e-004 - 3.5151515e+000 2.3288982e-004 - 3.6363636e+000 2.0698701e-004 - 3.7575758e+000 1.8389754e-004 - 3.8787879e+000 1.6333015e-004 - 4.0000000e+000 1.4502072e-004 - 4.1212121e+000 1.2873034e-004 - 4.2424242e+000 1.1424347e-004 - 4.3636364e+000 1.0136608e-004 - 4.4848485e+000 8.9923795e-005 - 4.6060606e+000 7.9760183e-005 - 4.7272727e+000 7.0735118e-005 - 4.8484848e+000 6.2723239e-005 - 4.9696970e+000 5.5612518e-005 - 5.0909091e+000 4.9302948e-005 - 5.2121212e+000 4.3705328e-005 - 5.3333333e+000 3.8740163e-005 - 5.4545455e+000 3.4336653e-005 - 5.5757576e+000 3.0431782e-005 - 5.6969697e+000 2.6969493e-005 - 5.8181818e+000 2.3899944e-005 - 5.9393939e+000 2.1178837e-005 - 6.0606061e+000 1.8766816e-005 - 6.1818182e+000 1.6628928e-005 - 6.3030303e+000 1.4734139e-005 - 6.4242424e+000 1.3054902e-005 - 6.5454545e+000 1.1566771e-005 - 6.6666667e+000 1.0248056e-005 - 6.7878788e+000 9.0795173e-006 - 6.9090909e+000 8.0440884e-006 - 7.0303030e+000 7.1266354e-006 - 7.1515152e+000 6.3137388e-006 - 7.2727273e+000 5.5935005e-006 - 7.3939394e+000 4.9553726e-006 - 7.5151515e+000 4.3900052e-006 - 7.6363636e+000 3.8891104e-006 - 7.7575758e+000 3.4453427e-006 - 7.8787879e+000 3.0521921e-006 - 8.0000000e+000 2.7038891e-006 - 8.1212121e+000 2.3953211e-006 - 8.2424242e+000 2.1219577e-006 - 8.3636364e+000 1.8797842e-006 - 8.4848485e+000 1.6652437e-006 - 8.6060606e+000 1.4751843e-006 - 8.7272727e+000 1.3068135e-006 - 8.8484848e+000 1.1576570e-006 - 8.9696970e+000 1.0255226e-006 - 9.0909091e+000 9.0846835e-007 - 9.2121212e+000 8.0477343e-007 - 9.3333333e+000 7.1291348e-007 - 9.4545455e+000 6.3153795e-007 - 9.5757576e+000 5.5945039e-007 - 9.6969697e+000 4.9559083e-007 - 9.8181818e+000 4.3902025e-007 - 9.9393939e+000 3.8890677e-007 - 1.0060606e+001 3.4451341e-007 - 1.0181818e+001 3.0518733e-007 - 1.0303030e+001 2.7035015e-007 - 1.0424242e+001 2.3948953e-007 - 1.0545455e+001 2.1215157e-007 - 1.0666667e+001 1.8793419e-007 - 1.0787879e+001 1.6648120e-007 - 1.0909091e+001 1.4747706e-007 - 1.1030303e+001 1.3064224e-007 - 1.1151515e+001 1.1572912e-007 - 1.1272727e+001 1.0251835e-007 - 1.1393939e+001 9.0815608e-008 - 1.1515152e+001 8.0448749e-008 - 1.1636364e+001 7.1265286e-008 - 1.1757576e+001 6.3130135e-008 - 1.1878788e+001 5.5923630e-008 - 1.2000000e+001 4.9539765e-008 + 0.0000000e+000 4.0314418e-003 + 1.2121212e-001 3.7874107e-003 + 2.4242424e-001 3.5451614e-003 + 3.6363636e-001 3.3064240e-003 + 4.8484848e-001 3.0728285e-003 + 6.0606061e-001 2.8458621e-003 + 7.2727273e-001 2.6268350e-003 + 8.4848485e-001 2.4168557e-003 + 9.6969697e-001 2.2168165e-003 + 1.0909091e+000 2.0273889e-003 + 1.2121212e+000 1.8490284e-003 + 1.3333333e+000 1.6819863e-003 + 1.4545455e+000 1.5263281e-003 + 1.5757576e+000 1.3819553e-003 + 1.6969697e+000 1.2486299e-003 + 1.8181818e+000 1.1259993e-003 + 1.9393939e+000 1.0136210e-003 + 2.0606061e+000 9.1098552e-004 + 2.1818182e+000 8.1753726e-004 + 2.3030303e+000 7.3269281e-004 + 2.4242424e+000 6.5585650e-004 + 2.5454545e+000 5.8643326e-004 + 2.6666667e+000 5.2383885e-004 + 2.7878788e+000 4.6750783e-004 + 2.9090909e+000 4.1689940e-004 + 3.0303030e+000 3.7150144e-004 + 3.1515152e+000 3.3083316e-004 + 3.2727273e+000 2.9444641e-004 + 3.3939394e+000 2.6192609e-004 + 3.5151515e+000 2.3288982e-004 + 3.6363636e+000 2.0698701e-004 + 3.7575758e+000 1.8389754e-004 + 3.8787879e+000 1.6333015e-004 + 4.0000000e+000 1.4502072e-004 + 4.1212121e+000 1.2873034e-004 + 4.2424242e+000 1.1424347e-004 + 4.3636364e+000 1.0136608e-004 + 4.4848485e+000 8.9923795e-005 + 4.6060606e+000 7.9760183e-005 + 4.7272727e+000 7.0735118e-005 + 4.8484848e+000 6.2723239e-005 + 4.9696970e+000 5.5612518e-005 + 5.0909091e+000 4.9302948e-005 + 5.2121212e+000 4.3705328e-005 + 5.3333333e+000 3.8740163e-005 + 5.4545455e+000 3.4336653e-005 + 5.5757576e+000 3.0431782e-005 + 5.6969697e+000 2.6969493e-005 + 5.8181818e+000 2.3899944e-005 + 5.9393939e+000 2.1178837e-005 + 6.0606061e+000 1.8766816e-005 + 6.1818182e+000 1.6628928e-005 + 6.3030303e+000 1.4734139e-005 + 6.4242424e+000 1.3054902e-005 + 6.5454545e+000 1.1566771e-005 + 6.6666667e+000 1.0248056e-005 + 6.7878788e+000 9.0795173e-006 + 6.9090909e+000 8.0440884e-006 + 7.0303030e+000 7.1266354e-006 + 7.1515152e+000 6.3137388e-006 + 7.2727273e+000 5.5935005e-006 + 7.3939394e+000 4.9553726e-006 + 7.5151515e+000 4.3900052e-006 + 7.6363636e+000 3.8891104e-006 + 7.7575758e+000 3.4453427e-006 + 7.8787879e+000 3.0521921e-006 + 8.0000000e+000 2.7038891e-006 + 8.1212121e+000 2.3953211e-006 + 8.2424242e+000 2.1219577e-006 + 8.3636364e+000 1.8797842e-006 + 8.4848485e+000 1.6652437e-006 + 8.6060606e+000 1.4751843e-006 + 8.7272727e+000 1.3068135e-006 + 8.8484848e+000 1.1576570e-006 + 8.9696970e+000 1.0255226e-006 + 9.0909091e+000 9.0846835e-007 + 9.2121212e+000 8.0477343e-007 + 9.3333333e+000 7.1291348e-007 + 9.4545455e+000 6.3153795e-007 + 9.5757576e+000 5.5945039e-007 + 9.6969697e+000 4.9559083e-007 + 9.8181818e+000 4.3902025e-007 + 9.9393939e+000 3.8890677e-007 + 1.0060606e+001 3.4451341e-007 + 1.0181818e+001 3.0518733e-007 + 1.0303030e+001 2.7035015e-007 + 1.0424242e+001 2.3948953e-007 + 1.0545455e+001 2.1215157e-007 + 1.0666667e+001 1.8793419e-007 + 1.0787879e+001 1.6648120e-007 + 1.0909091e+001 1.4747706e-007 + 1.1030303e+001 1.3064224e-007 + 1.1151515e+001 1.1572912e-007 + 1.1272727e+001 1.0251835e-007 + 1.1393939e+001 9.0815608e-008 + 1.1515152e+001 8.0448749e-008 + 1.1636364e+001 7.1265286e-008 + 1.1757576e+001 6.3130135e-008 + 1.1878788e+001 5.5923630e-008 + 1.2000000e+001 4.9539765e-008 diff --git a/python/cclassy.pxd b/python/cclassy.pxd index 945a165e..a1b71c42 100644 --- a/python/cclassy.pxd +++ b/python/cclassy.pxd @@ -1,33 +1,55 @@ -# Bunch of declarations from C to python. The idea here is to define only the -# quantities that will be used, for input, output or intermediate manipulation, -# by the python wrapper. For instance, in the precision structure, the only -# item used here is its error message. That is why nothing more is defined from -# this structure. The rest is internal in Class. -# If, for whatever reason, you need an other, existing parameter from Class, -# remember to add it inside this cdef. - -DEF _MAX_NUMBER_OF_K_FILES_ = 30 -DEF _MAXTITLESTRINGLENGTH_ = 8000 -DEF _FILENAMESIZE_ = 256 -DEF _LINE_LENGTH_MAX_ = 1024 +# Bunch of declarations from C to python. The idea here is to define +# only the quantities that will be used, for input, output or +# intermediate manipulation, by the python wrapper. For instance, in +# the precision structure, the only item used here are the error +# message and one parameter used for an error message. That is why +# nothing more is defined from this structure. The rest is internal in +# Class. If, for whatever reason, you need an other, existing +# parameter from Class, remember to add it inside this cdef. cdef extern from "class.h": + cdef char[10] _VERSION_ + ctypedef char FileArg[40] ctypedef char* ErrorMsg - ctypedef char FileName[_FILENAMESIZE_] + ctypedef char FileName[256] + + cdef enum interpolation_method: + inter_normal + inter_growing_closeby + + cdef enum vecback_format: + short_info + normal_info + long_info cdef enum linear_or_logarithmic: linear logarithmic cdef enum file_format: - class_format - camb_format + class_format + camb_format + + cdef enum non_linear_method: + nl_none + nl_halofit + nl_HMcode + + cdef enum pk_outputs: + pk_linear + pk_nonlinear + + cdef enum out_sigmas: + out_sigma + out_sigma_prime + out_sigma_disp cdef struct precision: + double nonlinear_min_k_max ErrorMsg error_message cdef struct background: @@ -40,19 +62,31 @@ cdef extern from "class.h": int index_bg_H int index_bg_D int index_bg_f - short long_info - short inter_normal + int index_bg_Omega_m + int index_bg_G_eff_smg + int index_bg_slip_eff_smg + int index_bg_rho_tot_wo_smg + int index_bg_rho_b + int index_bg_rho_cdm + int index_bg_rho_ncdm1 + int index_bg_rho_crit + short has_cdm short has_ncdm + int N_ncdm double T_cmb double h double H0 double age double conformal_age + double K double * m_ncdm_in_eV double Neff double Omega0_g double Omega0_b + double Omega0_idr + double T_idr double Omega0_cdm + double Omega0_idm double Omega0_dcdm double Omega0_ncdm_tot double Omega0_lambda @@ -68,16 +102,23 @@ cdef extern from "class.h": int tuning_index_smg double Omega0_ur double Omega0_dcdmdr + double Omega0_dr double Omega0_scf double Omega0_k int bt_size - - cdef struct thermo: + double Omega0_m + double Omega0_r + double Omega0_de + double a_eq + double H_eq + double z_eq + double tau_eq + + cdef struct thermodynamics: ErrorMsg error_message int th_size int index_th_xe int index_th_Tb - short inter_normal double tau_reio double z_reio double z_rec @@ -85,16 +126,30 @@ cdef extern from "class.h": double rs_rec double ds_rec double da_rec + double z_star + double tau_star + double rs_star + double ds_star + double ra_star + double da_star + double rd_star double z_d double tau_d double ds_d double rs_d double YHe double n_e - + double a_idm_dr + double b_idr + double nindex_idm_dr + double m_idm + double cross_idm_g + double u_idm_g + double cross_idm_b + double n_index_idm_b int tt_size - cdef struct perturbs: + cdef struct perturbations: ErrorMsg error_message short has_scalars short has_vectors @@ -108,25 +163,130 @@ cdef extern from "class.h": int store_perturbations int k_output_values_num - double k_output_values[_MAX_NUMBER_OF_K_FILES_] + double k_output_values[30] double k_max_for_pk - int index_k_output_values[_MAX_NUMBER_OF_K_FILES_] - char scalar_titles[_MAXTITLESTRINGLENGTH_] - char vector_titles[_MAXTITLESTRINGLENGTH_] - char tensor_titles[_MAXTITLESTRINGLENGTH_] + double z_max_pk + int index_k_output_values[30] + char scalar_titles[8000] + char vector_titles[8000] + char tensor_titles[8000] int number_of_scalar_titles int number_of_vector_titles int number_of_tensor_titles + int index_md_scalars + double * scalar_perturbations_data[30] + double * vector_perturbations_data[30] + double * tensor_perturbations_data[30] + int size_scalar_perturbation_data[30] + int size_vector_perturbation_data[30] + int size_tensor_perturbation_data[30] + + double * alpha_idm_dr + double * beta_idr + + # add source functions for comparison + short has_source_t + short has_source_p + short has_source_delta_m + short has_source_delta_cb + short has_source_delta_tot + short has_source_delta_g + short has_source_delta_b + short has_source_delta_cdm + short has_source_delta_idm + short has_source_delta_idr + short has_source_delta_dcdm + short has_source_delta_fld + short has_source_delta_scf + short has_source_delta_dr + short has_source_delta_ur + short has_source_delta_ncdm + short has_source_theta_m + short has_source_theta_cb + short has_source_theta_tot + short has_source_theta_g + short has_source_theta_b + short has_source_theta_cdm + short has_source_theta_idm + short has_source_theta_idr + short has_source_theta_dcdm + short has_source_theta_fld + short has_source_theta_scf + short has_source_theta_dr + short has_source_theta_ur + short has_source_theta_ncdm + short has_source_phi + short has_source_phi_prime + short has_source_phi_plus_psi + short has_source_psi + short has_source_h + short has_source_h_prime + short has_source_eta + short has_source_eta_prime + short has_source_H_T_Nb_prime + short has_source_k2gamma_Nb + + int index_tp_t0 + int index_tp_t1 + int index_tp_t2 + int index_tp_p + int index_tp_delta_m + int index_tp_delta_cb + int index_tp_delta_tot + int index_tp_delta_g + int index_tp_delta_b + int index_tp_delta_cdm + int index_tp_delta_idm + int index_tp_delta_dcdm + int index_tp_delta_fld + int index_tp_delta_scf + int index_tp_delta_dr + int index_tp_delta_ur + int index_tp_delta_idr + int index_tp_delta_ncdm1 + + int index_tp_theta_m + int index_tp_theta_cb + int index_tp_theta_tot + int index_tp_theta_g + int index_tp_theta_b + int index_tp_theta_cdm + int index_tp_theta_dcdm + int index_tp_theta_fld + int index_tp_theta_scf + int index_tp_theta_ur + int index_tp_theta_idr + int index_tp_theta_idm + int index_tp_theta_dr + int index_tp_theta_ncdm1 + + int index_tp_phi + int index_tp_phi_prime + int index_tp_phi_plus_psi + int index_tp_psi + int index_tp_h + int index_tp_h_prime + int index_tp_eta + int index_tp_eta_prime + int index_tp_H_T_Nb_prime + int index_tp_k2gamma_Nb + + + double *** sources + double * tau_sampling + int tau_size + int k_size_pk + int * k_size + double ** k + int * ic_size + int index_ic_ad + int md_size + int * tp_size + double * ln_tau + int ln_tau_size - double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_] - double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_] - double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_] - int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_] - int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_] - int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_] - - cdef struct transfers: + cdef struct transfer: ErrorMsg error_message cdef struct primordial: @@ -158,9 +318,9 @@ cdef extern from "class.h": double n_ad_niv double phi_min double phi_max - int lnk_size - cdef struct spectra: + + cdef struct harmonic: ErrorMsg error_message int has_tt int has_te @@ -175,9 +335,6 @@ cdef extern from "class.h": int has_tl int l_max_tot int ** l_max_ct - int ln_k_size - int ln_tau_size - int ln_tau_nl_size int ct_size int * ic_size int * ic_ic_size @@ -198,30 +355,25 @@ cdef extern from "class.h": int index_ct_tl int * l_size int index_md_scalars - double* ln_k - double* ln_tau - double* ln_tau_nl - double sigma8 - double sigma8_cb - double alpha_II_2_20 - double alpha_RI_2_20 - double alpha_RR_2_20 - double alpha_II_21_200 - double alpha_RI_21_200 - double alpha_RR_21_200 - double alpha_II_201_2500 - double alpha_RI_201_2500 - double alpha_RR_201_2500 - double alpha_II_2_2500 - double alpha_RI_2_2500 - double alpha_RR_2_2500 - double alpha_kp - double alpha_k1 - double alpha_k2 cdef struct output: ErrorMsg error_message + cdef struct distortions: + double * sd_parameter_table + int index_type_g + int index_type_mu + int index_type_y + int index_type_PCA + int type_size + double * DI + double * x + double DI_units + double x_to_nu + int has_distortions + int x_size + ErrorMsg error_message + cdef struct lensing: int has_tt int has_ee @@ -252,8 +404,29 @@ cdef extern from "class.h": int l_unlensed_max ErrorMsg error_message - cdef struct nonlinear: + cdef struct fourier: + short has_pk_matter int method + int ic_size + int ic_ic_size + int k_size + int k_size_pk + int ln_tau_size + int index_ln_tau_pk + int tau_size + int index_tau_min_nl + double * k + double * ln_tau + double * tau + double ** ln_pk_l + double ** ln_pk_nl + double * sigma8 + int has_pk_m + int has_pk_cb + int index_pk_m + int index_pk_cb + int index_pk_total + int index_pk_cluster ErrorMsg error_message cdef struct file_content: @@ -264,49 +437,58 @@ cdef extern from "class.h": short * read void lensing_free(void*) - void spectra_free(void*) + void harmonic_free(void*) void transfer_free(void*) void primordial_free(void*) - void perturb_free(void*) + void perturbations_free(void*) void thermodynamics_free(void*) void background_free(void*) - void nonlinear_free(void*) + void fourier_free(void*) + void distortions_free(void*) cdef int _FAILURE_ cdef int _FALSE_ cdef int _TRUE_ - int input_init(void*, void*, void*, void*, void*, void*, void*, void*, void*, - void*, void*, char*) + int input_read_from_file(void*, void*, void*, void*, void*, void*, void*, void*, void*, + void*, void*, void*, char*) int background_init(void*,void*) int thermodynamics_init(void*,void*,void*) - int perturb_init(void*,void*,void*,void*) + int perturbations_init(void*,void*,void*,void*) int primordial_init(void*,void*,void*) - int nonlinear_init(void*,void*,void*,void*,void*,void*) + int fourier_init(void*,void*,void*,void*,void*,void*) int transfer_init(void*,void*,void*,void*,void*,void*) - int spectra_init(void*,void*,void*,void*,void*,void*,void*) + int harmonic_init(void*,void*,void*,void*,void*,void*,void*) int lensing_init(void*,void*,void*,void*,void*) + int distortions_init(void*,void*,void*,void*,void*,void*) int background_tau_of_z(void* pba, double z,double* tau) - int background_at_tau(void* pba, double tau, short return_format, short inter_mode, int * last_index, double *pvecback) - int background_output_titles(void * pba, char titles[_MAXTITLESTRINGLENGTH_]) + int background_z_of_tau(void* pba, double tau,double* z) + int background_at_z(void* pba, double z, int return_format, int inter_mode, int * last_index, double *pvecback) + int background_at_tau(void* pba, double tau, int return_format, int inter_mode, int * last_index, double *pvecback) + int background_output_titles(void * pba, char titles[8000]) int background_output_data(void *pba, int number_of_titles, double *data) - int thermodynamics_at_z(void * pba, void * pth, double z, short inter_mode, int * last_index, double *pvecback, double *pvecthermo) - int thermodynamics_output_titles(void * pba, void *pth, char titles[_MAXTITLESTRINGLENGTH_]) + int thermodynamics_at_z(void * pba, void * pth, double z, int inter_mode, int * last_index, double *pvecback, double *pvecthermo) + int thermodynamics_output_titles(void * pba, void *pth, char titles[8000]) int thermodynamics_output_data(void *pba, void *pth, int number_of_titles, double *data) - int primordial_output_titles(void * ppt, void *ppm, char titles[_MAXTITLESTRINGLENGTH_]) - int primordial_output_data(void *ppt, void *ppm, int number_of_titles, double *data) + int perturbations_output_data_at_z(void *pba,void *ppt, file_format output_format, double z, int number_of_titles, double *data) + int perturbations_output_data_at_index_tau(void *pba,void *ppt, file_format output_format, int ondex_tau, int number_of_titles, double *data) + int perturbations_output_data(void *pba,void *ppt, file_format output_format, double * tkfull, int number_of_titles, double *data) + int perturbations_output_firstline_and_ic_suffix(void *ppt, int index_ic, char first_line[1024], FileName ic_suffix) + int perturbations_output_titles(void *pba, void *ppt, file_format output_format, char titles[8000]) + int perturbations_qs_functions_at_tau_and_k_qs_smg(void * ppr, void * pba, void * ppt, double k, double tau, double *mass2, double *mass2_p, double *rad2, double *friction, double *slope, short *approx) - int spectra_output_tk_titles(void *pba, void *ppt, file_format output_format, char titles[_MAXTITLESTRINGLENGTH_]) - int spectra_output_tk_data(void *pba,void *ppt,void *psp, file_format output_format, double z, int number_of_titles, double *data) + int primordial_output_titles(void * ppt, void *ppm, char titles[8000]) + int primordial_output_data(void *ppt, void *ppm, int number_of_titles, double *data) - int spectra_cl_at_l(void* psp,double l,double * cl,double * * cl_md,double * * cl_md_ic) + int harmonic_cl_at_l(void* phr,double l,double * cl,double * * cl_md,double * * cl_md_ic) int lensing_cl_at_l(void * ple,int l,double * cl_lensed) - int spectra_pk_at_z( + + int harmonic_pk_at_z( void * pba, - void * psp, + void * phr, int mode, double z, double * output_tot, @@ -314,11 +496,21 @@ cdef extern from "class.h": double * output_cb_tot, double * output_cb_ic ) + int fourier_pk_at_z( + void * pba, + void *pfo, + int mode, + int pk_output, + double z, + int index_pk, + double * out_pk, + double * out_pk_ic + ) - int spectra_pk_at_k_and_z( + int harmonic_pk_at_k_and_z( void* pba, void * ppm, - void * psp, + void * phr, double k, double z, double * pk, @@ -326,46 +518,78 @@ cdef extern from "class.h": double * pk_cb, double * pk_cb_ic) - int spectra_pk_nl_at_k_and_z( + int harmonic_pk_nl_at_k_and_z( void* pba, void * ppm, - void * psp, + void * phr, double k, double z, double * pk, double * pk_cb) - int spectra_pk_nl_at_z( + int harmonic_pk_nl_at_z( void * pba, - void * psp, + void * phr, int mode, double z, double * output_tot, double * output_cb_tot) - int nonlinear_k_nl_at_z(void* pba, void* pnl, double z, double* k_nl, double* k_nl_cb) - - int spectra_firstline_and_ic_suffix(void *ppt, int index_ic, char first_line[_LINE_LENGTH_MAX_], FileName ic_suffix) + int fourier_pk_at_k_and_z( + void * pba, + void * ppm, + void * pfo, + int pk_output, + double k, + double z, + int index_pk, + double * out_pk, + double * out_pk_ic) - int spectra_sigma( - void * pba, - void * ppm, - void * psp, - double R, - double z, - double * sigma) + int fourier_pk_tilt_at_k_and_z( + void * pba, + void * ppm, + void * pfo, + int pk_output, + double k, + double z, + int index_pk, + double * pk_tilt) - int spectra_sigma_cb( - void * pba, - void * ppm, - void * psp, - double R, - double z, - double * sigma_cb) + int fourier_sigmas_at_z( + void * ppr, + void * pba, + void * pfo, + double R, + double z, + int index_pk, + int sigma_output, + double * result) - int spectra_fast_pk_at_kvec_and_zvec( + int fourier_pks_at_kvec_and_zvec( + void * pba, + void * pfo, + int pk_output, + double * kvec, + int kvec_size, + double * zvec, + int zvec_size, + double * out_pk, + double * out_pk_cb) + + int fourier_hmcode_sigma8_at_z(void* pba, void* pfo, double z, double* sigma_8, double* sigma_8_cb) + int fourier_hmcode_sigmadisp_at_z(void* pba, void* pfo, double z, double* sigma_disp, double* sigma_disp_cb) + int fourier_hmcode_sigmadisp100_at_z(void* pba, void* pfo, double z, double* sigma_disp_100, double* sigma_disp_100_cb) + int fourier_hmcode_sigmaprime_at_z(void* pba, void* pfo, double z, double* sigma_prime, double* sigma_prime_cb) + int fourier_hmcode_window_nfw(void* pfo, double k, double rv, double c, double* window_nfw) + + int fourier_k_nl_at_z(void* pba, void* pfo, double z, double* k_nl, double* k_nl_cb) + + int harmonic_firstline_and_ic_suffix(void *ppt, int index_ic, char first_line[1024], FileName ic_suffix) + + int harmonic_fast_pk_at_kvec_and_zvec( void * pba, - void * psp, + void * phr, double * kvec, int kvec_size, double * zvec, diff --git a/python/classy.pyx b/python/classy.pyx index 6438840b..3af72e0d 100644 --- a/python/classy.pyx +++ b/python/classy.pyx @@ -14,20 +14,36 @@ extract cosmological parameters. from math import exp,log import numpy as np cimport numpy as np +from scipy import interpolate from libc.stdlib cimport * from libc.stdio cimport * from libc.string cimport * import cython cimport cython +from scipy.interpolate import CubicSpline +from scipy.interpolate import UnivariateSpline +from scipy.interpolate import interp1d + +# Nils : Added for python 3.x and python 2.x compatibility +import sys +def viewdictitems(d): + if sys.version_info >= (3,0): + return d.items() + else: + return d.viewitems() ctypedef np.float_t DTYPE_t ctypedef np.int_t DTYPE_i + + # Import the .pxd containing definitions from cclassy cimport * DEF _MAXTITLESTRINGLENGTH_ = 8000 +__version__ = _VERSION_.decode("utf-8") + # Implement a specific Exception (this might not be optimally designed, nor # even acceptable for python standards. It, however, does the job). # The idea is to raise either an AttributeError if the problem happened while @@ -76,20 +92,21 @@ cdef class Class: # "cdefined", because they correspond to C structures cdef precision pr cdef background ba - cdef thermo th - cdef perturbs pt + cdef thermodynamics th + cdef perturbations pt cdef primordial pm - cdef nonlinear nl - cdef transfers tr - cdef spectra sp + cdef fourier fo + cdef transfer tr + cdef harmonic hr cdef output op cdef lensing le + cdef distortions sd cdef file_content fc - cpdef int ready # Flag to see if classy can currently compute - cpdef int allocated # Flag to see if classy structs are allocated already - cpdef object _pars # Dictionary of the parameters - cpdef object ncp # Keeps track of the structures initialized, in view of cleaning. + cdef int computed # Flag to see if classy has already computed with the given pars + cdef int allocated # Flag to see if classy structs are allocated already + cdef object _pars # Dictionary of the parameters + cdef object ncp # Keeps track of the structures initialized, in view of cleaning. # Defining two new properties to recover, respectively, the parameters used # or the age (set after computation). Follow this syntax if you want to @@ -100,13 +117,13 @@ cdef class Class: return self._pars property state: def __get__(self): - return self.ready + return True property Omega_nu: def __get__(self): return self.ba.Omega0_ncdm_tot property nonlinear_method: def __get__(self): - return self.nl.method + return self.fo.method def set_default(self): _pars = { @@ -114,9 +131,9 @@ cdef class Class: self.set(**_pars) def __cinit__(self, default=False): - cpdef char* dumc - self.ready = False + cdef char* dumc self.allocated = False + self.computed = False self._pars = {} self.fc.size=0 self.fc.filename = malloc(sizeof(char)*30) @@ -126,19 +143,34 @@ cdef class Class: self.ncp = set() if default: self.set_default() + def __dealloc__(self): + if self.allocated: + self.struct_cleanup() + self.empty() + # Reset all the fc to zero if its not already done + if self.fc.size !=0: + self.fc.size=0 + free(self.fc.name) + free(self.fc.value) + free(self.fc.read) + free(self.fc.filename) + # Set up the dictionary def set(self,*pars,**kars): + oldpars = self._pars.copy() if len(pars)==1: self._pars.update(dict(pars[0])) elif len(pars)!=0: raise CosmoSevereError("bad call") self._pars.update(kars) - self.ready=False + if viewdictitems(self._pars) <= viewdictitems(oldpars): + return # Don't change the computed states, if the new dict was already contained in the previous dict + self.computed=False return True def empty(self): self._pars = {} - self.ready = False + self.computed = False # Create an equivalent of the parameter file. Non specified values will be # taken at their default (in Class) @@ -163,10 +195,10 @@ cdef class Class: i = 0 for kk in self._pars: - dumcp = kk.encode() + dumcp = kk.strip().encode() dumc = dumcp sprintf(self.fc.name[i],"%s",dumc) - dumcp = str(self._pars[kk]).encode() + dumcp = str(self._pars[kk]).strip().encode() dumc = dumcp sprintf(self.fc.value[i],"%s",dumc) self.fc.read[i] = _FALSE_ @@ -174,26 +206,28 @@ cdef class Class: # Called at the end of a run, to free memory def struct_cleanup(self): - if self.ready == _FALSE_: - return + if(self.allocated != True): + return + if "distortions" in self.ncp: + distortions_free(&self.sd) if "lensing" in self.ncp: lensing_free(&self.le) - if "spectra" in self.ncp: - spectra_free(&self.sp) + if "harmonic" in self.ncp: + harmonic_free(&self.hr) if "transfer" in self.ncp: transfer_free(&self.tr) - if "nonlinear" in self.ncp: - nonlinear_free(&self.nl) + if "fourier" in self.ncp: + fourier_free(&self.fo) if "primordial" in self.ncp: primordial_free(&self.pm) if "perturb" in self.ncp: - perturb_free(&self.pt) + perturbations_free(&self.pt) if "thermodynamics" in self.ncp: thermodynamics_free(&self.th) if "background" in self.ncp: background_free(&self.ba) - self.ready = False self.allocated = False + self.computed = False def _check_task_dependency(self, level): """ @@ -214,22 +248,33 @@ cdef class Class: ['lensing'] """ + if "distortions" in level: + if "lensing" not in level: + level.append("lensing") if "lensing" in level: - level.append("spectra") - if "spectra" in level: - level.append("transfer") + if "harmonic" not in level: + level.append("harmonic") + if "harmonic" in level: + if "transfer" not in level: + level.append("transfer") if "transfer" in level: - level.append("nonlinear") - if "nonlinear" in level: - level.append("primordial") + if "fourier" not in level: + level.append("fourier") + if "fourier" in level: + if "primordial" not in level: + level.append("primordial") if "primordial" in level: - level.append("perturb") + if "perturb" not in level: + level.append("perturb") if "perturb" in level: - level.append("thermodynamics") + if "thermodynamics" not in level: + level.append("thermodynamics") if "thermodynamics" in level: - level.append("background") + if "background" not in level: + level.append("background") if len(level)!=0 : - level.append("input") + if "input" not in level: + level.append("input") return level def _pars_check(self, key, value, contains=False, add=""): @@ -254,9 +299,9 @@ cdef class Class: return True return False - def compute(self, level=["lensing"]): + def compute(self, level=["distortions"]): """ - compute(level=["lensing"]) + compute(level=["distortions"]) Main function, execute all the _init methods for all desired modules. This is called in MontePython, and this ensures that the Class instance @@ -282,11 +327,11 @@ cdef class Class: # Append to the list level all the modules necessary to compute. level = self._check_task_dependency(level) - # Check if this function ran before (self.ready should be true), and + # Check if this function ran before (self.computed should be true), and # if no other modules were requested, i.e. if self.ncp contains (or is # equivalent to) level. If it is the case, simply stop the execution of # the function. - if self.ready and self.ncp.issuperset(level): + if self.computed and self.ncp.issuperset(level): return # Check if already allocated to prevent memory leaks @@ -294,7 +339,7 @@ cdef class Class: self.struct_cleanup() # Otherwise, proceed with the normal computation. - self.ready = False + self.computed = False # Equivalent of writing a parameter file self._fillparfile() @@ -302,6 +347,9 @@ cdef class Class: # self.ncp will contain the list of computed modules (under the form of # a set, instead of a python list) self.ncp=set() + # Up until the empty set, all modules are allocated + # (And then we successively keep track of the ones we allocate additionally) + self.allocated = True # -------------------------------------------------------------------- # Check the presence for all CLASS modules in the list 'level'. If a @@ -311,9 +359,9 @@ cdef class Class: # non-understood parameters asked to the wrapper is a problematic # situation. if "input" in level: - if input_init(&self.fc, &self.pr, &self.ba, &self.th, - &self.pt, &self.tr, &self.pm, &self.sp, - &self.nl, &self.le, &self.op, errmsg) == _FAILURE_: + if input_read_from_file(&self.fc, &self.pr, &self.ba, &self.th, + &self.pt, &self.tr, &self.pm, &self.hr, + &self.fo, &self.le, &self.sd, &self.op, errmsg) == _FAILURE_: raise CosmoSevereError(errmsg) self.ncp.add("input") # This part is done to list all the unread parameters, for debugging @@ -345,7 +393,7 @@ cdef class Class: self.ncp.add("thermodynamics") if "perturb" in level: - if perturb_init(&(self.pr), &(self.ba), + if perturbations_init(&(self.pr), &(self.ba), &(self.th), &(self.pt)) == _FAILURE_: self.struct_cleanup() raise CosmoComputationError(self.pt.error_message) @@ -358,37 +406,43 @@ cdef class Class: raise CosmoComputationError(self.pm.error_message) self.ncp.add("primordial") - if "nonlinear" in level: - if nonlinear_init(&self.pr, &self.ba, &self.th, - &self.pt, &self.pm, &self.nl) == _FAILURE_: + if "fourier" in level: + if fourier_init(&self.pr, &self.ba, &self.th, + &self.pt, &self.pm, &self.fo) == _FAILURE_: self.struct_cleanup() - raise CosmoComputationError(self.nl.error_message) - self.ncp.add("nonlinear") + raise CosmoComputationError(self.fo.error_message) + self.ncp.add("fourier") if "transfer" in level: if transfer_init(&(self.pr), &(self.ba), &(self.th), - &(self.pt), &(self.nl), &(self.tr)) == _FAILURE_: + &(self.pt), &(self.fo), &(self.tr)) == _FAILURE_: self.struct_cleanup() raise CosmoComputationError(self.tr.error_message) self.ncp.add("transfer") - if "spectra" in level: - if spectra_init(&(self.pr), &(self.ba), &(self.pt), - &(self.pm), &(self.nl), &(self.tr), - &(self.sp)) == _FAILURE_: + if "harmonic" in level: + if harmonic_init(&(self.pr), &(self.ba), &(self.pt), + &(self.pm), &(self.fo), &(self.tr), + &(self.hr)) == _FAILURE_: self.struct_cleanup() - raise CosmoComputationError(self.sp.error_message) - self.ncp.add("spectra") + raise CosmoComputationError(self.hr.error_message) + self.ncp.add("harmonic") if "lensing" in level: - if lensing_init(&(self.pr), &(self.pt), &(self.sp), - &(self.nl), &(self.le)) == _FAILURE_: + if lensing_init(&(self.pr), &(self.pt), &(self.hr), + &(self.fo), &(self.le)) == _FAILURE_: self.struct_cleanup() raise CosmoComputationError(self.le.error_message) self.ncp.add("lensing") - self.ready = True - self.allocated = True + if "distortions" in level: + if distortions_init(&(self.pr), &(self.ba), &(self.th), + &(self.pt), &(self.pm), &(self.sd)) == _FAILURE_: + self.struct_cleanup() + raise CosmoComputationError(self.sd.error_message) + self.ncp.add("distortions") + + self.computed = True # At this point, the cosmological instance contains everything needed. The # following functions are only to output the desired numbers @@ -409,7 +463,7 @@ cdef class Class: be raised if the desired lmax is bigger than what CLASS can give. nofail: bool, optional - Check and enforce the computation of the spectra module + Check and enforce the computation of the harmonic module beforehand, with the desired lmax. Returns @@ -421,28 +475,28 @@ cdef class Class: ell array. """ cdef int lmaxR - cdef double *rcl = calloc(self.sp.ct_size,sizeof(double)) + cdef double *rcl = calloc(self.hr.ct_size,sizeof(double)) # Quantities for tensor modes - cdef double **cl_md = calloc(self.sp.md_size, sizeof(double*)) - for index_md in range(self.sp.md_size): - cl_md[index_md] = calloc(self.sp.ct_size, sizeof(double)) + cdef double **cl_md = calloc(self.hr.md_size, sizeof(double*)) + for index_md in range(self.hr.md_size): + cl_md[index_md] = calloc(self.hr.ct_size, sizeof(double)) # Quantities for isocurvature modes - cdef double **cl_md_ic = calloc(self.sp.md_size, sizeof(double*)) - for index_md in range(self.sp.md_size): - cl_md_ic[index_md] = calloc(self.sp.ct_size*self.sp.ic_ic_size[index_md], sizeof(double)) + cdef double **cl_md_ic = calloc(self.hr.md_size, sizeof(double*)) + for index_md in range(self.hr.md_size): + cl_md_ic[index_md] = calloc(self.hr.ct_size*self.hr.ic_ic_size[index_md], sizeof(double)) # Define a list of integers, refering to the flags and indices of each # possible output Cl. It allows for a clear and concise way of looping # over them, checking if they are defined or not. has_flags = [ - (self.sp.has_tt, self.sp.index_ct_tt, 'tt'), - (self.sp.has_ee, self.sp.index_ct_ee, 'ee'), - (self.sp.has_te, self.sp.index_ct_te, 'te'), - (self.sp.has_bb, self.sp.index_ct_bb, 'bb'), - (self.sp.has_pp, self.sp.index_ct_pp, 'pp'), - (self.sp.has_tp, self.sp.index_ct_tp, 'tp'),] + (self.hr.has_tt, self.hr.index_ct_tt, 'tt'), + (self.hr.has_ee, self.hr.index_ct_ee, 'ee'), + (self.hr.has_te, self.hr.index_ct_te, 'te'), + (self.hr.has_bb, self.hr.index_ct_bb, 'bb'), + (self.hr.has_pp, self.hr.index_ct_pp, 'pp'), + (self.hr.has_tp, self.hr.index_ct_tp, 'tp'),] spectra = [] for flag, index, name in has_flags: @@ -451,7 +505,7 @@ cdef class Class: if not spectra: raise CosmoSevereError("No Cl computed") - lmaxR = self.sp.l_max_tot + lmaxR = self.hr.l_max_tot if lmax == -1: lmax = lmaxR if lmax > lmaxR: @@ -468,15 +522,15 @@ cdef class Class: # Recover for each ell the information from CLASS for ell from 2<=ell calloc(self.sp.ct_size,sizeof(double)) + cdef double *dcl = calloc(self.hr.ct_size,sizeof(double)) # Quantities for tensor modes - cdef double **cl_md = calloc(self.sp.md_size, sizeof(double*)) - for index_md in range(self.sp.md_size): - cl_md[index_md] = calloc(self.sp.ct_size, sizeof(double)) + cdef double **cl_md = calloc(self.hr.md_size, sizeof(double*)) + for index_md in range(self.hr.md_size): + cl_md[index_md] = calloc(self.hr.ct_size, sizeof(double)) # Quantities for isocurvature modes - cdef double **cl_md_ic = calloc(self.sp.md_size, sizeof(double*)) - for index_md in range(self.sp.md_size): - cl_md_ic[index_md] = calloc(self.sp.ct_size*self.sp.ic_ic_size[index_md], sizeof(double)) + cdef double **cl_md_ic = calloc(self.hr.md_size, sizeof(double*)) + for index_md in range(self.hr.md_size): + cl_md_ic[index_md] = calloc(self.hr.ct_size*self.hr.ic_ic_size[index_md], sizeof(double)) lmaxR = self.pt.l_lss_max has_flags = [ - (self.sp.has_dd, self.sp.index_ct_dd, 'dd'), - (self.sp.has_td, self.sp.index_ct_td, 'td'), - (self.sp.has_ll, self.sp.index_ct_ll, 'll'), - (self.sp.has_dl, self.sp.index_ct_dl, 'dl'), - (self.sp.has_tl, self.sp.index_ct_tl, 'tl')] + (self.hr.has_dd, self.hr.index_ct_dd, 'dd'), + (self.hr.has_td, self.hr.index_ct_td, 'td'), + (self.hr.has_ll, self.hr.index_ct_ll, 'll'), + (self.hr.has_dl, self.hr.index_ct_dl, 'dl'), + (self.hr.has_tl, self.hr.index_ct_tl, 'tl')] spectra = [] for flag, index, name in has_flags: if flag: spectra.append(name) - l_max_flag = self.sp.l_max_ct[self.sp.index_md_scalars][index] + l_max_flag = self.hr.l_max_ct[self.hr.index_md_scalars][index] if l_max_flag < lmax and lmax > 0: raise CosmoSevereError( "the %s spectrum was computed until l=%i " % ( @@ -622,8 +676,8 @@ cdef class Class: # For density Cls, the size is bigger (different redshfit bins) # computes the size, given the number of correlations needed to be computed - size = (self.sp.d_size*(self.sp.d_size+1)-(self.sp.d_size-self.sp.non_diag)* - (self.sp.d_size-1-self.sp.non_diag))/2; + size = int((self.hr.d_size*(self.hr.d_size+1)-(self.hr.d_size-self.hr.non_diag)* + (self.hr.d_size-1-self.hr.non_diag))/2); for elem in ['dd', 'll', 'dl']: if elem in spectra: cl[elem] = {} @@ -635,25 +689,25 @@ cdef class Class: cl[elem] = np.zeros(lmax+1, dtype=np.double) for ell from 2<=ell calloc(self.ba.bg_size,sizeof(double)) - if background_tau_of_z(&self.ba, z, &tau)==_FAILURE_: + if background_at_z(&self.ba, z, long_info, + inter_normal, &last_index, pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) - if background_at_tau(&self.ba, tau, self.ba.long_info, - self.ba.inter_normal, &last_index, pvecback)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) lum_distance = pvecback[self.ba.index_bg_lum_distance] free(pvecback) return lum_distance - # Gives the pk for a given (k,z) + # Gives the total matter pk for a given (k,z) def pk(self,double k,double z): """ - Gives the pk for a given k and z (will be non linear if requested to Class, linear otherwise) + Gives the total matter pk (in Mpc**3) for a given k (in 1/Mpc) and z (will be non linear if requested to Class, linear otherwise) .. note:: - there is an additional check to verify if output contains `mPk`, + there is an additional check that output contains `mPk`, because otherwise a segfault will occur """ cdef double pk - cdef double pk_cb - cdef double pk_velo - cdef double pk_cross - cdef int dummy - # Quantities for the isocurvature modes - cdef double *pk_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) - cdef double *pk_cb_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. You must add mPk to the list of outputs." - ) + raise CosmoSevereError("No power spectrum computed. You must add mPk to the list of outputs.") - if (self.nl.method == 0): - if spectra_pk_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if (self.fo.method == nl_none): + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_linear,k,z,self.fo.index_pk_m,&pk,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) else: - if spectra_pk_nl_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,&pk_cb) ==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_nonlinear,k,z,self.fo.index_pk_m,&pk,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) - free(pk_ic) - free(pk_cb_ic) return pk - # Gives the pk_cb for a given (k,z) + # Gives the cdm+b pk for a given (k,z) def pk_cb(self,double k,double z): """ - Gives the pk_cb for a given k and z (will be non linear if requested to Class, linear otherwise) + Gives the cdm+b pk (in Mpc**3) for a given k (in 1/Mpc) and z (will be non linear if requested to Class, linear otherwise) .. note:: - there is an additional check to verify if output contains `mPk`, + there is an additional check that output contains `mPk`, because otherwise a segfault will occur """ - cdef double pk cdef double pk_cb - cdef double pk_velo - cdef double pk_cross - cdef int dummy - # Quantities for the isocurvature modes - cdef double *pk_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) - cdef double *pk_cb_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. You must add mPk to the list of outputs." - ) - if (self.ba.Omega0_ncdm_tot == 0.): - raise CosmoSevereError( - "No massive neutrinos. You must use pk, rather than pk_cb." - ) + raise CosmoSevereError("No power spectrum computed. You must add mPk to the list of outputs.") + if (self.fo.has_pk_cb == _FALSE_): + raise CosmoSevereError("P_cb not computed (probably because there are no massive neutrinos) so you cannot ask for it") - if (self.nl.method == 0): - if spectra_pk_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if (self.fo.method == nl_none): + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_linear,k,z,self.fo.index_pk_cb,&pk_cb,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) else: - if spectra_pk_nl_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,&pk_cb) ==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_nonlinear,k,z,self.fo.index_pk_cb,&pk_cb,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) - free(pk_ic) - free(pk_cb_ic) return pk_cb - # Gives the linear pk for a given (k,z) + # Gives the total matter pk for a given (k,z) def pk_lin(self,double k,double z): """ - Gives the linear pk for a given k and z (even if non linear corrections were requested to Class) + Gives the linear total matter pk (in Mpc**3) for a given k (in 1/Mpc) and z .. note:: - there is an additional check to verify if output contains `mPk`, + there is an additional check that output contains `mPk`, because otherwise a segfault will occur """ - cdef double pk - cdef double pk_cb - cdef double pk_velo - cdef double pk_cross - cdef int dummy + cdef double pk_lin - # Quantities for the isocurvature modes - cdef double *pk_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) - cdef double *pk_cb_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. You must add mPk to the list of outputs." - ) + raise CosmoSevereError("No power spectrum computed. You must add mPk to the list of outputs.") - if spectra_pk_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_linear,k,z,self.fo.index_pk_m,&pk_lin,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) - free(pk_ic) - free(pk_cb_ic) - return pk + return pk_lin - # Gives the linear pk for a given (k,z) + # Gives the cdm+b pk for a given (k,z) def pk_cb_lin(self,double k,double z): """ - Gives the linear pk for a given k and z (even if non linear corrections were requested to Class) + Gives the linear cdm+b pk (in Mpc**3) for a given k (in 1/Mpc) and z .. note:: - there is an additional check to verify if output contains `mPk`, + there is an additional check that output contains `mPk`, because otherwise a segfault will occur """ - cdef double pk - cdef double pk_cb - cdef double pk_velo - cdef double pk_cross - cdef int dummy + cdef double pk_cb_lin - # Quantities for the isocurvature modes - cdef double *pk_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) - cdef double *pk_cb_ic = calloc(self.sp.ic_ic_size[self.sp.index_md_scalars], sizeof(double)) if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. You must add mPk to the list of outputs." - ) - if (self.ba.Omega0_ncdm_tot == 0.): - raise CosmoSevereError( - "No massive neutrinos. You must use pk_lin, rather than pk_cb_lin." - ) + raise CosmoSevereError("No power spectrum computed. You must add mPk to the list of outputs.") - if spectra_pk_at_k_and_z(&self.ba,&self.pm,&self.sp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if (self.fo.has_pk_cb == _FALSE_): + raise CosmoSevereError("P_cb not computed by CLASS (probably because there are no massive neutrinos)") - free(pk_ic) - free(pk_cb_ic) - return pk_cb + if fourier_pk_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_linear,k,z,self.fo.index_pk_cb,&pk_cb_lin,NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) + + return pk_cb_lin def get_pk(self, np.ndarray[DTYPE_t,ndim=3] k, np.ndarray[DTYPE_t,ndim=1] z, int k_size, int z_size, int mu_size): """ Fast function to get the power spectrum on a k and z array """ cdef np.ndarray[DTYPE_t, ndim=3] pk = np.zeros((k_size,z_size,mu_size),'float64') cdef int index_k, index_z, index_mu - for index_k in xrange(k_size): - for index_z in xrange(z_size): - for index_mu in xrange(mu_size): + for index_k in range(k_size): + for index_z in range(z_size): + for index_mu in range(mu_size): pk[index_k,index_z,index_mu] = self.pk(k[index_k,index_z,index_mu],z[index_z]) return pk @@ -866,9 +867,9 @@ cdef class Class: cdef np.ndarray[DTYPE_t, ndim=3] pk_cb = np.zeros((k_size,z_size,mu_size),'float64') cdef int index_k, index_z, index_mu - for index_k in xrange(k_size): - for index_z in xrange(z_size): - for index_mu in xrange(mu_size): + for index_k in range(k_size): + for index_z in range(z_size): + for index_mu in range(mu_size): pk_cb[index_k,index_z,index_mu] = self.pk_cb(k[index_k,index_z,index_mu],z[index_z]) return pk_cb @@ -877,9 +878,9 @@ cdef class Class: cdef np.ndarray[DTYPE_t, ndim=3] pk = np.zeros((k_size,z_size,mu_size),'float64') cdef int index_k, index_z, index_mu - for index_k in xrange(k_size): - for index_z in xrange(z_size): - for index_mu in xrange(mu_size): + for index_k in range(k_size): + for index_z in range(z_size): + for index_mu in range(mu_size): pk[index_k,index_z,index_mu] = self.pk_lin(k[index_k,index_z,index_mu],z[index_z]) return pk @@ -888,13 +889,112 @@ cdef class Class: cdef np.ndarray[DTYPE_t, ndim=3] pk_cb = np.zeros((k_size,z_size,mu_size),'float64') cdef int index_k, index_z, index_mu - for index_k in xrange(k_size): - for index_z in xrange(z_size): - for index_mu in xrange(mu_size): + for index_k in range(k_size): + for index_z in range(z_size): + for index_mu in range(mu_size): pk_cb[index_k,index_z,index_mu] = self.pk_cb_lin(k[index_k,index_z,index_mu],z[index_z]) return pk_cb - def get_pk_and_k_and_z(self, nonlinear=True): + def get_pk_all(self, k, z, nonlinear = True, cdmbar = False, z_axis_in_k_arr = 0, interpolation_kind='cubic'): + """ General function to get the P(k,z) for ARBITRARY shapes of k,z + Additionally, it includes the functionality of selecting wether to use the non-linear parts or not, + and wether to use the cdm baryon power spectrum only + For Multi-Dimensional k-arrays, it assumes that one of the dimensions is the z-axis + This is handled by the z_axis_in_k_arr integer, as described in the source code """ + # z_axis_in_k_arr specifies the integer position of the z_axis wihtin the n-dimensional k_arr + # Example: 1-d k_array -> z_axis_in_k_arr = 0 + # Example: 3-d k_array with z_axis being the first axis -> z_axis_in_k_arr = 0 + # Example: 3-d k_array with z_axis being the last axis -> z_axis_in_k_arr = 2 + + # 1) Define some utilities + # Is the user asking for a valid cdmbar? + ispkcb = cdmbar and not (self.ba.Omega0_ncdm_tot == 0.) + + # Allocate the temporary k/pk array used during the interaction with the underlying C code + cdef np.float64_t[::1] pk_out = np.empty(self.fo.k_size, dtype='float64') + k_out = np.asarray( self.fo.k) + + # Define a function that can write the P(k) for a given z into the pk_out array + def _write_pk(z,islinear,ispkcb): + if fourier_pk_at_z(&self.ba,&self.fo,linear,(pk_linear if islinear else pk_nonlinear),z,(self.fo.index_pk_cb if ispkcb else self.fo.index_pk_m),&pk_out[0],NULL)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) + + # Check what kind of non-linear redshift there is + if nonlinear: + if self.fo.index_tau_min_nl == 0: + z_max_nonlinear = np.inf + else: + z_max_nonlinear = self.z_of_tau(self.fo.tau[self.fo.index_tau_min_nl]) + else: + z_max_nonlinear = -1. + + # Only get the nonlinear function where the nonlinear treatment is possible + def _islinear(z): + if z > z_max_nonlinear or (self.fo.method == nl_none): + return True + else: + return False + + # A simple wrapper for writing the P(k) in the given location and interpolating it + def _interpolate_pk_at_z(karr,z): + _write_pk(z,_islinear(z),ispkcb) + interp_func = interp1d(k_out,np.log(pk_out),kind=interpolation_kind,copy=True) + return np.exp(interp_func(karr)) + + # 2) Check if z array, or z value + if not isinstance(z,(list,np.ndarray)): + # Only single z value was passed -> k could still be an array of arbitrary dimension + if not isinstance(k,(list,np.ndarray)): + # Only single z value AND only single k value -> just return a value + # This iterates over ALL remaining dimensions + return ((self.pk_cb if ispkcb else self.pk) if not _islinear(z) else (self.pk_cb_lin if ispkcb else self.pk_lin))(k,z) + else: + k_arr = np.array(k) + result = _interpolate_pk_at_z(k_arr,z) + return result + + # 3) An array of z values was passed + k_arr = np.array(k) + z_arr = np.array(z) + if( z_arr.ndim != 1 ): + raise CosmoSevereError("Can only parse one-dimensional z-arrays, not multi-dimensional") + + if( k_arr.ndim > 1 ): + # 3.1) If there is a multi-dimensional k-array of EQUAL lenghts + out_pk = np.empty(np.shape(k_arr)) + # Bring the z_axis to the front + k_arr = np.moveaxis(k_arr, z_axis_in_k_arr, 0) + out_pk = np.moveaxis(out_pk, z_axis_in_k_arr, 0) + if( len(k_arr) != len(z_arr) ): + raise CosmoSevereError("Mismatching array lengths of the z-array") + for index_z in range(len(z_arr)): + out_pk[index_z] = _interpolate_pk_at_z(k_arr[index_z],z[index_z]) + # Move the z_axis back into position + k_arr = np.moveaxis(k_arr, 0, z_axis_in_k_arr) + out_pk = np.moveaxis(out_pk, 0, z_axis_in_k_arr) + return out_pk + else: + # 3.2) If there is a multi-dimensional k-array of UNEQUAL lenghts + if isinstance(k_arr[0],(list,np.ndarray)): + # A very special thing happened: The user passed a k array with UNEQUAL lengths of k arrays for each z + out_pk = [] + for index_z in range(len(z_arr)): + k_arr_at_z = np.array(k_arr[index_z]) + out_pk_at_z = _interpolate_pk_at_z(k_arr_at_z,z[index_z]) + out_pk.append(out_pk_at_z) + return out_pk + + # 3.3) If there is a single-dimensional k-array + # The user passed a z-array, but only a 1-d k array + # Assume thus, that the k array should be reproduced for all z + out_pk = np.empty((len(z_arr),len(k_arr))) + for index_z in range(len(z_arr)): + out_pk[index_z] = _interpolate_pk_at_z(k_arr,z_arr[index_z]) + return out_pk + + ################################# + # Gives a grid of values of matter and/or cb power spectrum, together with the vectors of corresponding k and z values + def get_pk_and_k_and_z(self, nonlinear=True, only_clustering_species = False, h_units=False): """ Returns a grid of matter power spectrum values and the z and k at which it has been fully computed. Useful for creating interpolators. @@ -903,39 +1003,262 @@ cdef class Class: ---------- nonlinear : bool Whether the returned power spectrum values are linear or non-linear (default) + only_clustering_species : bool + Whether the returned power spectrum is for galaxy clustering and excludes massive neutrinos, or always includes everything (default) + h_units : bool + Whether the units of k in output are h/Mpc or 1/Mpc (default) + + Returns + ------- + pk : grid of power spectrum values, pk[index_k,index_z] + k : vector of k values, k[index_k] (in units of 1/Mpc by default, or h/Mpc when setting h_units to True) + z : vector of z values, z[index_z] + """ + + cdef np.ndarray[DTYPE_t,ndim=2] pk = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=1] k = np.zeros((self.fo.k_size_pk),'float64') + cdef np.ndarray[DTYPE_t,ndim=1] z = np.zeros((self.fo.ln_tau_size),'float64') + cdef int index_k, index_tau, index_pk + cdef double z_max_nonlinear, z_max_requested + # consistency checks + + if self.fo.has_pk_matter == False: + raise CosmoSevereError("You ask classy to return an array of P(k,z) values, but the input parameters sent to CLASS did not require any P(k,z) calculations; add 'mPk' in 'output'") + + if nonlinear == True and self.fo.method == nl_none: + raise CosmoSevereError("You ask classy to return an array of nonlinear P(k,z) values, but the input parameters sent to CLASS did not require any non-linear P(k,z) calculations; add e.g. 'halofit' or 'HMcode' in 'nonlinear'") + + # check wich type of P(k) to return (total or clustering only, i.e. without massive neutrino contribution) + if (only_clustering_species == True): + index_pk = self.fo.index_pk_cluster + else: + index_pk = self.fo.index_pk_total + + # get list of redshifts + # the ln(times) of interest are stored in self.fo.ln_tau[index_tau] + # For nonlinear, we have to additionally cut out the linear values + + if self.fo.ln_tau_size == 1: + raise CosmoSevereError("You ask classy to return an array of P(k,z) values, but the input parameters sent to CLASS did not require any P(k,z) calculations for z>0; pass either a list of z in 'z_pk' or one non-zero value in 'z_max_pk'") + else: + for index_tau in range(self.fo.ln_tau_size): + if index_tau == self.fo.ln_tau_size-1: + z[index_tau] = 0. + else: + z[index_tau] = self.z_of_tau(np.exp(self.fo.ln_tau[index_tau])) + + # check consitency of the list of redshifts + + if nonlinear == True: + # Check highest value of z at which nl corrections could be computed. + # In the table tau_sampling it corresponds to index: self.fo.index_tau_min_nl + z_max_nonlinear = self.z_of_tau(self.fo.tau[self.fo.index_tau_min_nl]) + + # Check highest value of z in the requested output. + z_max_requested = z[0] + + # The first z must be larger or equal to the second one, that is, + # the first index must be smaller or equal to the second one. + # If not, raise and error. + if (z_max_requested > z_max_nonlinear and self.fo.index_tau_min_nl>0): + raise CosmoSevereError("get_pk_and_k_and_z() is trying to return P(k,z) up to z_max=%e (the redshift range of computed pk); but the input parameters sent to CLASS (in particular ppr->nonlinear_min_k_max=%e) were such that the non-linear P(k,z) could only be consistently computed up to z=%e; increase the precision parameter 'nonlinear_min_k_max', or only obtain the linear pk"%(z_max_requested,self.pr.nonlinear_min_k_max,z_max_nonlinear)) + + # get list of k + + if h_units: + units=1./self.ba.h + else: + units=1 + + for index_k in range(self.fo.k_size_pk): + k[index_k] = self.fo.k[index_k]*units + + # get P(k,z) array + + for index_tau in range(self.fo.ln_tau_size): + for index_k in range(self.fo.k_size_pk): + if nonlinear == True: + pk[index_k, index_tau] = np.exp(self.fo.ln_pk_nl[index_pk][index_tau * self.fo.k_size + index_k]) + else: + pk[index_k, index_tau] = np.exp(self.fo.ln_pk_l[index_pk][index_tau * self.fo.k_size + index_k]) + + return pk, k, z + + ################################# + # Gives a grid of each transfer functions arranged in a dictionary, together with the vectors of corresponding k and z values + def get_transfer_and_k_and_z(self, output_format='class', h_units=False): + """ + Returns a dictionary of grids of density and/or velocity transfer function values and the z and k at which it has been fully computed. + Useful for creating interpolators. + When setting CLASS input parameters, include at least one of 'dTk' (for density transfer functions) or 'vTk' (for velocity transfer functions). + Following the default output_format='class', all transfer functions will be normalised to 'curvature R=1' at initial time + (and not 'curvature R = -1/k^2' like in CAMB). + You may switch to output_format='camb' for the CAMB definition and normalisation of transfer functions. + (Then, 'dTk' must be in the input: the CAMB format only outputs density transfer functions). + When sticking to output_format='class', you also get the newtonian metric fluctuations phi and psi. + If you set the CLASS input parameter 'extra_metric_transfer_functions' to 'yes', + you get additional metric fluctuations in the synchronous and N-body gauges. + + Parameters + ---------- + output_format : ('class' or 'camb') + Format transfer functions according to CLASS (default) or CAMB + h_units : bool + Whether the units of k in output are h/Mpc or 1/Mpc (default) + + Returns + ------- + tk : dictionary containing all transfer functions. + For instance, the grid of values of 'd_c' (= delta_cdm) is available in tk['d_c'] + All these grids have indices [index_k,index,z], for instance tk['d_c'][index_k,index,z] + k : vector of k values (in units of 1/Mpc by default, or h/Mpc when setting h_units to True) + z : vector of z values """ - cdef np.ndarray[DTYPE_t,ndim=2] pk_at_k_z = np.zeros((self.sp.ln_k_size, self.sp.ln_tau_size),'float64') - cdef np.ndarray[DTYPE_t,ndim=1] k = np.zeros((self.sp.ln_k_size),'float64') - cdef np.ndarray[DTYPE_t,ndim=1] z = np.zeros((self.sp.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=1] k = np.zeros((self.pt.k_size_pk),'float64') + cdef np.ndarray[DTYPE_t,ndim=1] z = np.zeros((self.pt.ln_tau_size),'float64') cdef int index_k, index_tau - cdef double k0, kend, z0, zend, eps + cdef char * titles + cdef double * data + cdef file_format outf + + # consistency checks + if (self.pt.has_density_transfers == False) and (self.pt.has_velocity_transfers == False): + raise CosmoSevereError("You ask classy to return transfer functions, but the input parameters sent to CLASS did not require any T(k,z) calculations; add 'dTk' and/or 'vTk' in 'output'") + + index_md = self.pt.index_md_scalars; + + if (self.pt.ic_size[index_md] > 1): + raise CosmoSevereError("For simplicity, get_transfer_and_k_and_z() has been written assuming only adiabatic initial conditions. You need to write the generalisation to cases with multiple initial conditions.") + + # check out put format + if output_format == 'camb': + outf = camb_format + else: + outf = class_format + + # check name and number of trnasfer functions computed ghy CLASS + + titles = calloc(_MAXTITLESTRINGLENGTH_,sizeof(char)) + + if perturbations_output_titles(&self.ba,&self.pt, outf, titles)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) + + tmp = titles + tmp = str(tmp.decode()) + names = tmp.split("\t")[:-1] + number_of_titles = len(names) + + # get list of redshifts + # the ln(times) of interest are stored in self.fo.ln_tau[index_tau] + + if self.pt.ln_tau_size == 1: + raise CosmoSevereError("You ask classy to return an array of T_x(k,z) values, but the input parameters sent to CLASS did not require any transfer function calculations for z>0; pass either a list of z in 'z_pk' or one non-zero value in 'z_max_pk'") + else: + for index_tau in range(self.pt.ln_tau_size): + if index_tau == self.pt.ln_tau_size-1: + z[index_tau] = 0. + else: + z[index_tau] = self.z_of_tau(np.exp(self.pt.ln_tau[index_tau])) + + # get list of k + + if h_units: + units=1./self.ba.h + else: + units=1 + + k_size = self.pt.k_size_pk + for index_k in range(k_size): + k[index_k] = self.pt.k[index_md][index_k]*units + + # create output dictionary + + tk = {} + for index_type,name in enumerate(names): + if index_type > 0: + tk[name] = np.zeros((k_size, len(z)),'float64') + + # allocate the vector in wich the transfer functions will be stored temporarily for all k and types at a given z + data = malloc(sizeof(double)*number_of_titles*self.pt.k_size[index_md]) + + # get T(k,z) array + + for index_tau in range(len(z)): + if perturbations_output_data_at_index_tau(&self.ba, &self.pt, outf, index_tau, number_of_titles, data)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) + + for index_type,name in enumerate(names): + if index_type > 0: + for index_k in range(k_size): + tk[name][index_k, index_tau] = data[index_k*number_of_titles+index_type] + + free(data) + return tk, k, z + + ################################# + # Gives a grid of values of the power spectrum of the quantity [k^2*(phi+psi)/2], where (phi+psi)/2 is the Weyl potential, together with the vectors of corresponding k and z values + def get_Weyl_pk_and_k_and_z(self, nonlinear=False, h_units=False): + """ + Returns a grid of Weyl potential (phi+psi) power spectrum values and the z and k + at which it has been fully computed. Useful for creating interpolators. + Note that this function just calls get_pk_and_k_and_z and corrects the output + by the ratio of transfer functions [(phi+psi)/d_m]^2. - eps = 1.0e-10 - pk_lin_or_nonlin = self.pk if nonlinear else self.pk_lin + Parameters + ---------- + nonlinear : bool + Whether the returned power spectrum values are linear or non-linear (default) + h_units : bool + Whether the units of k in output are h/Mpc or 1/Mpc (default) + + Returns + ------- + Weyl_pk : grid of Weyl potential (phi+psi) spectrum values, Weyl_pk[index_k,index_z] + k : vector of k values, k[index_k] (in units of 1/Mpc by default, or h/Mpc when setting h_units to True) + z : vector of z values, z[index_z] + """ + cdef np.ndarray[DTYPE_t,ndim=2] pk = np.zeros((self.fo.k_size_pk,self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=1] z = np.zeros((self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=2] k4 = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=2] phi = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=2] psi = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=2] d_m = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') + cdef np.ndarray[DTYPE_t,ndim=2] Weyl_pk = np.zeros((self.fo.k_size_pk, self.fo.ln_tau_size),'float64') - # Get k and z arrays - for index_k in xrange(self.sp.ln_k_size): - k[index_k] = np.exp(self.sp.ln_k[index_k]) - for index_tau in xrange(self.sp.ln_tau_size): - z[index_tau] = self.z_of_tau(np.exp(self.sp.ln_tau[index_tau])) + cdef bint input_nonlinear = nonlinear + cdef bint input_h_units = h_units - # Avoid saturating the limits - z[-1] *= (1-eps) - z[0] *= (1+eps) - if(z[0] < eps): - z[0] = 0 + cdef int index_z + + # get total matter power spectrum + pk, k, z = self.get_pk_and_k_and_z(nonlinear=input_nonlinear, only_clustering_species = False, h_units=input_h_units) + + # get transfer functions + tk_and_k_and_z = {} + tk_and_k_and_z, k, z = self.get_transfer_and_k_and_z(output_format='class',h_units=input_h_units) + phi = tk_and_k_and_z['phi'] + psi = tk_and_k_and_z['psi'] + d_m = tk_and_k_and_z['d_m'] + + # get an array containing k**4 (same for all redshifts) + for index_z in range(self.fo.ln_tau_size): + k4[:,index_z] = k**4 - # Now copy P(k,z) - for index_tau in xrange(self.sp.ln_tau_size): - for index_k in xrange(self.sp.ln_k_size): - pk_at_k_z[index_k, index_tau] = pk_lin_or_nonlin(k[index_k], z[index_tau]) - return pk_at_k_z, k, z + # rescale total matter power spectrum to get the Weyl power spectrum times k**4 + # (the latter factor is just a convention. Since there is a factor k**2 in the Poisson equation, + # this rescaled Weyl spectrum has a shape similar to the matter power spectrum). + Weyl_pk = pk * ((phi+psi)/2./d_m)**2 * k4 + return Weyl_pk, k, z + + ################################# # Gives sigma(R,z) for a given (R,z) - def sigma(self,double R,double z): + def sigma(self,double R,double z, h_units = False): """ - Gives the pk for a given R and z - (R is the radius in units of Mpc, so if R=8/h this will be the usual sigma8(z) + Gives sigma (total matter) for a given R and z + (R is the radius in units of Mpc, so if R=8/h this will be the usual sigma8(z). + This is unless h_units is set to true, in which case R is the radius in units of Mpc/h, + and R=8 corresponds to sigma8(z)) .. note:: @@ -946,26 +1269,26 @@ cdef class Class: """ cdef double sigma + R_in_Mpc = (R if not h_units else R/self.ba.h) + if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. In order to get sigma(R,z) you must add mPk to the list of outputs." - ) + raise CosmoSevereError("No power spectrum computed. In order to get sigma(R,z) you must add mPk to the list of outputs.") if (self.pt.k_max_for_pk < self.ba.h): - raise CosmoSevereError( - "In order to get sigma(R,z) you must set 'P_k_max_h/Mpc' to 1 or bigger, in order to have k_max > 1 h/Mpc." - ) + raise CosmoSevereError("In order to get sigma(R,z) you must set 'P_k_max_h/Mpc' to 1 or bigger, in order to have k_max > 1 h/Mpc.") - if spectra_sigma(&self.ba,&self.pm,&self.sp,R,z,&sigma)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if fourier_sigmas_at_z(&self.pr,&self.ba,&self.fo,R_in_Mpc,z,self.fo.index_pk_m,out_sigma,&sigma)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) return sigma # Gives sigma_cb(R,z) for a given (R,z) - def sigma_cb(self,double R,double z): + def sigma_cb(self,double R,double z, h_units = False): """ - Gives the pk for a given R and z + Gives sigma (cdm+b) for a given R and z (R is the radius in units of Mpc, so if R=8/h this will be the usual sigma8(z) + This is unless h_units is set to true, in which case R is the radius in units of Mpc/h, + and R=8 corresponds to sigma8(z)) .. note:: @@ -976,26 +1299,64 @@ cdef class Class: """ cdef double sigma_cb + R_in_Mpc = (R if not h_units else R/self.ba.h) + if (self.pt.has_pk_matter == _FALSE_): - raise CosmoSevereError( - "No power spectrum computed. In order to get sigma(R,z) you must add mPk to the list of outputs." - ) + raise CosmoSevereError("No power spectrum computed. In order to get sigma(R,z) you must add mPk to the list of outputs.") + + if (self.fo.has_pk_cb == _FALSE_): + raise CosmoSevereError("sigma_cb not computed by CLASS (probably because there are no massive neutrinos)") if (self.pt.k_max_for_pk < self.ba.h): - raise CosmoSevereError( - "In order to get sigma(R,z) you must set 'P_k_max_h/Mpc' to 1 or bigger, in order to have k_max > 1 h/Mpc." - ) + raise CosmoSevereError("In order to get sigma(R,z) you must set 'P_k_max_h/Mpc' to 1 or bigger, in order to have k_max > 1 h/Mpc.") - if (self.ba.Omega0_ncdm_tot == 0.): - raise CosmoSevereError( - "No massive neutrinos. You must use sigma, rather than sigma_cb." - ) + # If necessary, convert R to units of Mpc + if h_units: + R /= self.ba.h - if spectra_sigma_cb(&self.ba,&self.pm,&self.sp,R,z,&sigma_cb)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if fourier_sigmas_at_z(&self.pr,&self.ba,&self.fo,R,z,self.fo.index_pk_cb,out_sigma,&sigma_cb)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) return sigma_cb + # Gives effective logarithmic slope of P_L(k,z) (total matter) for a given (k,z) + def pk_tilt(self,double k,double z): + """ + Gives effective logarithmic slope of P_L(k,z) (total matter) for a given k and z + (k is the wavenumber in units of 1/Mpc, z is the redshift, the output is dimensionless) + + .. note:: + + there is an additional check to verify whether output contains `mPk` and whether k is in the right range + + """ + cdef double pk_tilt + + if (self.pt.has_pk_matter == _FALSE_): + raise CosmoSevereError("No power spectrum computed. In order to get pk_tilt(k,z) you must add mPk to the list of outputs.") + + if (k < self.fo.k[1] or k > self.fo.k[self.fo.k_size-2]): + raise CosmoSevereError("In order to get pk_tilt at k=%e 1/Mpc, you should compute P(k,z) in a wider range of k's"%k) + + if fourier_pk_tilt_at_k_and_z(&self.ba,&self.pm,&self.fo,pk_linear,k,z,self.fo.index_pk_total,&pk_tilt)==_FAILURE_: + raise CosmoSevereError(self.fo.error_message) + + return pk_tilt + + #calculates the hmcode window_function of the Navarrow Frenk White Profile + def fourier_hmcode_window_nfw(self,double k,double rv,double c): + """ + Gives window_nfw for a given wavevector k, virial radius rv and concentration c + + """ + cdef double window_nfw + + + if fourier_hmcode_window_nfw(&self.fo,k,rv,c,&window_nfw)==_FAILURE_: + raise CosmoSevereError(self.hr.error_message) + + return window_nfw + def age(self): self.compute(["background"]) return self.ba.age @@ -1009,15 +1370,17 @@ cdef class Class: def tau_reio(self): return self.th.tau_reio - # Defined twice ? def Omega_m(self): - return self.ba.Omega0_b+self.ba.Omega0_cdm+self.ba.Omega0_ncdm_tot + self.ba.Omega0_dcdm + return self.ba.Omega0_m + + def Omega_r(self): + return self.ba.Omega0_r - # This is commented because in the current form it only applies - # to minimal LambdaCDM. - # On would need to add contributions from ncdm, ddmdr, etc. - #def Omega_r(self): - # return self.ba.Omega0_g+self.ba.Omega0_ur + def theta_s_100(self): + return 100.*self.th.rs_rec/self.th.da_rec/(1.+self.th.z_rec) + + def theta_star_100(self): + return 100.*self.th.rs_star/self.th.da_star/(1.+self.th.z_star) def Omega_Lambda(self): return self.ba.Omega0_lambda @@ -1034,18 +1397,41 @@ cdef class Class: def Neff(self): return self.ba.Neff + def k_eq(self): + self.compute(["background"]) + return self.ba.a_eq*self.ba.H_eq + + def z_eq(self): + self.compute(["background"]) + return 1./self.ba.a_eq-1. + def sigma8(self): - self.compute(["spectra"]) - return self.sp.sigma8 + self.compute(["fourier"]) + if (self.pt.has_pk_matter == _FALSE_): + raise CosmoSevereError("No power spectrum computed. In order to get sigma8, you must add mPk to the list of outputs.") + return self.fo.sigma8[self.fo.index_pk_m] + + def S8(self): + return self.sigma8()*np.sqrt(self.Omega_m()/0.3) + + #def neff(self): + # self.compute(["harmonic"]) + # return self.hr.neff def sigma8_cb(self): - self.compute(["spectra"]) - return self.sp.sigma8_cb + self.compute(["fourier"]) + if (self.pt.has_pk_matter == _FALSE_): + raise CosmoSevereError("No power spectrum computed. In order to get sigma8_cb, you must add mPk to the list of outputs.") + return self.fo.sigma8[self.fo.index_pk_cb] def rs_drag(self): self.compute(["thermodynamics"]) return self.th.rs_d + def z_reio(self): + self.compute(["thermodynamics"]) + return self.th.z_reio + def angular_distance(self, z): """ angular_distance(z) @@ -1058,16 +1444,12 @@ cdef class Class: z : float Desired redshift """ - cdef double tau cdef int last_index #junk cdef double * pvecback pvecback = calloc(self.ba.bg_size,sizeof(double)) - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) - - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) D_A = pvecback[self.ba.index_bg_ang_distance] @@ -1076,149 +1458,1043 @@ cdef class Class: return D_A - def scale_independent_growth_factor(self, z): + ################################# + # Get angular diameter distance of object at z2 as seen by observer at z1, + def angular_distance_from_to(self, z1, z2): """ - scale_independent_growth_factor(z) + angular_distance_from_to(z) - Return the scale invariant growth factor D(a) for CDM perturbations - (exactly, the quantity defined by Class as index_bg_D in the background module) + Return the angular diameter distance of object at z2 as seen by observer at z1, + that is, sin_K((chi2-chi1)*np.sqrt(|k|))/np.sqrt(|k|)/(1+z2). + If z1>z2 returns zero. Parameters ---------- - z : float - Desired redshift + z1 : float + Observer redshift + z2 : float + Source redshift + + Returns + ------- + d_A(z1,z2) in Mpc """ - cdef double tau cdef int last_index #junk cdef double * pvecback - pvecback = calloc(self.ba.bg_size,sizeof(double)) + if z1>=z2: + return 0. - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) + else: + pvecback = calloc(self.ba.bg_size,sizeof(double)) - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) + if background_at_z(&self.ba,z1,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) - D = pvecback[self.ba.index_bg_D] + # This is the comoving distance to object at z1 + chi1 = pvecback[self.ba.index_bg_conf_distance] - free(pvecback) + if background_at_z(&self.ba,z2,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) - return D + # This is the comoving distance to object at z2 + chi2 = pvecback[self.ba.index_bg_conf_distance] - def scale_independent_growth_factor_f(self, z): + free(pvecback) + + if self.ba.K == 0: + return (chi2-chi1)/(1+z2) + elif self.ba.K > 0: + return np.sin(np.sqrt(self.ba.K)*(chi2-chi1))/np.sqrt(self.ba.K)/(1+z2) + elif self.ba.K < 0: + return np.sinh(np.sqrt(-self.ba.K)*(chi2-chi1))/np.sqrt(-self.ba.K)/(1+z2) + + def comoving_distance(self, z): """ - scale_independent_growth_factor_f(z) + comoving_distance(z) - Return the scale invariant growth factor f(z)=d ln D / d ln a for CDM perturbations - (exactly, the quantity defined by Class as index_bg_f in the background module) + Return the comoving distance Parameters ---------- z : float Desired redshift """ - cdef double tau cdef int last_index #junk cdef double * pvecback pvecback = calloc(self.ba.bg_size,sizeof(double)) - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) - - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) - f = pvecback[self.ba.index_bg_f] + r = pvecback[self.ba.index_bg_conf_distance] free(pvecback) - return f + return r - def z_of_tau(self, tau): + def scale_independent_growth_factor(self, z): """ - Redshift corresponding to a given conformal time. + scale_independent_growth_factor(z) + + Return the scale invariant growth factor D(a) for CDM perturbations + (exactly, the quantity defined by Class as index_bg_D in the background module) Parameters ---------- - tau : float - Conformal time + z : float + Desired redshift """ - cdef double z cdef int last_index #junk cdef double * pvecback pvecback = calloc(self.ba.bg_size,sizeof(double)) - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) - z = 1./pvecback[self.ba.index_bg_a]-1. + D = pvecback[self.ba.index_bg_D] free(pvecback) - return z + return D - def Hubble(self, z): + def scale_independent_growth_factor_f(self, z): """ - Hubble(z) + scale_independent_growth_factor_f(z) - Return the Hubble rate (exactly, the quantity defined by Class as index_bg_H - in the background module) + Return the scale independent growth factor f(z)=d ln D / d ln a for CDM perturbations + (exactly, the quantity defined by Class as index_bg_f in the background module) Parameters ---------- z : float Desired redshift """ - cdef double tau cdef int last_index #junk cdef double * pvecback pvecback = calloc(self.ba.bg_size,sizeof(double)) - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) - - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) - H = pvecback[self.ba.index_bg_H] + f = pvecback[self.ba.index_bg_f] free(pvecback) - return H + return f - def ionization_fraction(self, z): + ################################# + def scale_dependent_growth_factor_f(self, k, z, h_units=False, nonlinear=False, Nz=20): """ - ionization_fraction(z) + scale_dependent_growth_factor_f(k,z) - Return the ionization fraction for a given redshift z + Return the scale dependent growth factor + f(z)= 1/2 * [d ln P(k,a) / d ln a] + = - 0.5 * (1+z) * [d ln P(k,z) / d z] + where P(k,z) is the total matter power spectrum Parameters ---------- z : float Desired redshift + k : float + Desired wavenumber in 1/Mpc (if h_units=False) or h/Mpc (if h_units=True) """ - cdef double tau - cdef int last_index #junk - cdef double * pvecback - cdef double * pvecthermo - pvecback = calloc(self.ba.bg_size,sizeof(double)) - pvecthermo = calloc(self.th.th_size,sizeof(double)) + # build array of z values at wich P(k,z) was pre-computed by class (for numerical derivative) + # check that P(k,z) was stored at different zs + if self.fo.ln_tau_size > 1: + # check that input z is in stored range + z_max = self.z_of_tau(np.exp(self.fo.ln_tau[0])) + if (z<0) or (z>z_max): + raise CosmoSevereError("You asked for f(k,z) at a redshift %e outside of the computed range [0,%e]"%(z,z_max)) + # create array of zs in growing z order (decreasing tau order) + z_array = np.empty(self.fo.ln_tau_size) + # first redshift is exactly zero + z_array[0]=0. + # next values can be inferred from ln_tau table + if (self.fo.ln_tau_size>1): + for i in range(1,self.fo.ln_tau_size): + z_array[i] = self.z_of_tau(np.exp(self.fo.ln_tau[self.fo.ln_tau_size-1-i])) + else: + raise CosmoSevereError("You asked for the scale-dependent growth factor: this requires numerical derivation of P(k,z) w.r.t z, and thus passing a non-zero input parameter z_max_pk") - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) + # if needed, convert k to units of 1/Mpc + if h_units: + k = k*self.ba.h - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) + # Allocate an array of P(k,z[...]) values + Pk_array = np.empty_like(z_array) - if thermodynamics_at_z(&self.ba,&self.th,z,self.th.inter_normal,&last_index,pvecback,pvecthermo) == _FAILURE_: - raise CosmoSevereError(self.th.error_message) + # Choose whether to use .pk() or .pk_lin() + # The linear pk is in .pk_lin if nonlinear corrections have been computed, in .pk otherwise + # The non-linear pk is in .pk if nonlinear corrections have been computed + if nonlinear == False: + if self.fo.method == nl_none: + use_pk_lin = False + else: + use_pk_lin = True + else: + if self.fo.method == nl_none: + raise CosmoSevereError("You asked for the scale-dependent growth factor of non-linear matter fluctuations, but you did not ask for non-linear calculations at all") + else: + use_pk_lin = False - xe = pvecthermo[self.th.index_th_xe] + # Get P(k,z) and array P(k,z[...]) + if use_pk_lin == False: + Pk = self.pk(k,z) + for iz, zval in enumerate(z_array): + Pk_array[iz] = self.pk(k,zval) + else: + Pk = self.pk_lin(k,z) + for iz, zval in enumerate(z_array): + Pk_array[iz] = self.pk_lin(k,zval) + + # Compute derivative (d ln P / d ln z) + dPkdz = UnivariateSpline(z_array,Pk_array,s=0).derivative()(z) + + # Compute growth factor f + f = -0.5*(1+z)*dPkdz/Pk + + return f + + ################################# + # gives f(z)*sigma8(z) where f(z) is the scale-independent growth factor + def scale_independent_f_sigma8(self, z): + """ + scale_independent_f_sigma8(z) + + Return the scale independent growth factor f(z) multiplied by sigma8(z) + + Parameters + ---------- + z : float + Desired redshift + + Returns + ------- + f(z)*sigma8(z) (dimensionless) + """ + return self.scale_independent_growth_factor_f(z)*self.sigma(8,z,h_units=True) + + ################################# + # gives an estimation of f(z)*sigma8(z) at the scale of 8 h/Mpc, computed as (d sigma8/d ln a) + def effective_f_sigma8(self, z, z_step=0.1): + """ + effective_f_sigma8(z) + + Returns the time derivative of sigma8(z) computed as (d sigma8/d ln a) + + Parameters + ---------- + z : float + Desired redshift + z_step : float + Default step used for the numerical two-sided derivative. For z < z_step the step is reduced progressively down to z_step/10 while sticking to a double-sided derivative. For z< z_step/10 a single-sided derivative is used instead. + + Returns + ------- + (d ln sigma8/d ln a)(z) (dimensionless) + """ + + # we need d sigma8/d ln a = - (d sigma8/dz)*(1+z) + + # if possible, use two-sided derivative with default value of z_step + if z >= z_step: + return (self.sigma(8,z-z_step,h_units=True)-self.sigma(8,z+z_step,h_units=True))/(2.*z_step)*(1+z) + else: + # if z is between z_step/10 and z_step, reduce z_step to z, and then stick to two-sided derivative + if (z > z_step/10.): + z_step = z + return (self.sigma(8,z-z_step,h_units=True)-self.sigma(8,z+z_step,h_units=True))/(2.*z_step)*(1+z) + # if z is between 0 and z_step/10, use single-sided derivative with z_step/10 + else: + z_step /=10 + return (self.sigma(8,z,h_units=True)-self.sigma(8,z+z_step,h_units=True))/z_step*(1+z) + + ################################# + # gives an estimation of f(z)*sigma8(z) at the scale of 8 h/Mpc, computed as (d sigma8/d ln a) + def effective_f_sigma8_spline(self, z, Nz=20): + """ + effective_f_sigma8_spline(z) + + Returns the time derivative of sigma8(z) computed as (d sigma8/d ln a) + + Parameters + ---------- + z : float + Desired redshift + Nz : integer + Number of values used to spline sigma8(z) in the range [z-0.1,z+0.1] + + Returns + ------- + (d ln sigma8/d ln a)(z) (dimensionless) + """ + + # we need d sigma8/d ln a = - (d sigma8/dz)*(1+z) + z_max = self.z_of_tau(np.exp(self.fo.ln_tau[0])) + + if (z<0) or (z>z_max): + raise CosmoSevereError("You asked for effective_f_sigma8 at a redshift %e outside of the computed range [0,%e]"%(z,z_max)) + + if (z<0.1): + z_array = np.linspace(0, 0.2, num = Nz) + elif (z calloc(self.ba.bg_size,sizeof(double)) + + if background_at_tau(&self.ba,tau,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + z = 1./pvecback[self.ba.index_bg_a]-1. + + free(pvecback) + + return z + + def Hubble(self, z): + """ + Hubble(z) + + Return the Hubble rate (exactly, the quantity defined by Class as index_bg_H + in the background module) + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + H = pvecback[self.ba.index_bg_H] + + free(pvecback) + + return H + + def Om_m(self, z): + """ + Omega_m(z) + + Return the matter density fraction (exactly, the quantity defined by Class as index_bg_Omega_m + in the background module) + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + Om_m = pvecback[self.ba.index_bg_Omega_m] + + free(pvecback) + + return Om_m + + def Om_b(self, z): + """ + Omega_b(z) + + Return the baryon density fraction (exactly, the ratio of quantities defined by Class as + index_bg_rho_b and index_bg_rho_crit in the background module) + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + Om_b = pvecback[self.ba.index_bg_rho_b]/pvecback[self.ba.index_bg_rho_crit] + + free(pvecback) + + return Om_b + + def Om_cdm(self, z): + """ + Omega_cdm(z) + + Return the cdm density fraction (exactly, the ratio of quantities defined by Class as + index_bg_rho_cdm and index_bg_rho_crit in the background module) + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + + if self.ba.has_cdm == True: + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + Om_cdm = pvecback[self.ba.index_bg_rho_cdm]/pvecback[self.ba.index_bg_rho_crit] + + free(pvecback) + + else: + + Om_cdm = 0. + + return Om_cdm + + def Om_ncdm(self, z): + """ + Omega_ncdm(z) + + Return the ncdm density fraction (exactly, the ratio of quantities defined by Class as + Sum_m [ index_bg_rho_ncdm1 + n ], with n=0...N_ncdm-1, and index_bg_rho_crit in the background module) + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + + if self.ba.has_ncdm == True: + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + rho_ncdm = 0. + for n in range(self.ba.N_ncdm): + rho_ncdm += pvecback[self.ba.index_bg_rho_ncdm1+n] + Om_ncdm = rho_ncdm/pvecback[self.ba.index_bg_rho_crit] + + free(pvecback) + + else: + + Om_ncdm = 0. + + return Om_ncdm + + def G_eff_back_smg(self, z): + """ + G_eff_smg(z) + + Return G_eff in the k->infinity limit. + If the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_eff = -2 k^2/a^2 Phi/delta_rho + + Parameters + ---------- + z : float + Desired redshift + """ + cdef double tau + cdef int last_index #junk + cdef double * pvecback + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + if background_at_tau(&self.ba,tau,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + G_eff = pvecback[self.ba.index_bg_G_eff_smg] + + free(pvecback) + + return G_eff + + def slip_eff_back_smg(self, z): + """ + slip_eff_smg(z) + + Return slip_eff in the k->infinity limit. + If the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + slip = Phi/Psi + + Parameters + ---------- + z : float + Desired redshift + """ + cdef double tau + cdef int last_index #junk + cdef double * pvecback + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + + if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + if background_at_tau(&self.ba,tau,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + slip = pvecback[self.ba.index_bg_slip_eff_smg] + + free(pvecback) + + return slip + + def G_matter_back_smg(self, z): + """ + G_matter_smg(z) + + Return G_matter in the k->infinity limit. + If the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_matter = -2 k^2/a^2 Psi/delta_rho + + Parameters + ---------- + z : float + Desired redshift + """ + + G_eff = self.G_eff_back_smg(z) + slip = self.slip_eff_back_smg(z) + + return G_eff/slip + + def G_light_back_smg(self, z): + """ + G_light_smg(z) + + Return G_light in the k->infinity limit. + If the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_light = -2 k^2/a^2 (Phi+Psi)/2/delta_rho + + Parameters + ---------- + z : float + Desired redshift + """ + + G_eff = self.G_eff_back_smg(z) + slip = self.slip_eff_back_smg(z) + + return (slip + 1)*G_eff/slip/2 + + def G_eff_at_z_smg(self, z): + """ + G_eff_at_z_smg(z) + + Return arrays of k [1/Mpc] and G_eff at a given + redshift z from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_eff = -2 k^2/a^2 Phi/delta_rho + + Parameters + ---------- + z : float + Desired redshift + + there is an additional check that output contains `mTk,vTk`, + because otherwise a segfault will occur + + """ + + if (self.pt.has_density_transfers == _FALSE_): + raise CosmoSevereError("No density transfer functions computed. You must add mTk to the list of outputs.") + + if (self.pt.has_velocity_transfers == _FALSE_): + raise CosmoSevereError("No velocity transfer functions computed. You must add vTk to the list of outputs.") + + # Get background and transfer + back = self.get_background() + trans = self.get_transfer(z=z) + k_range = trans['k (h/Mpc)']*self.h() + aH = interpolate.interp1d(back['z'], back['H [1/Mpc]']/(1+back['z']))(z) + # Get matter species + no_mat = ['(.)rho_tot', '(.)rho_crit', '(.)rho_smg','(.)rho_lambda'] + all_sp = [x for x in back.keys() if '(.)rho_' in x] + all_sp = [x for x in all_sp if x not in no_mat] + all_sp = [x.replace('(.)rho_', '') for x in all_sp] + # Get metric potentials + phi = trans['phi'] + psi = trans['psi'] + # Calculate the density perturbations + # for each species and then we sum up + delta_rho = np.zeros_like(phi) + for one_sp in all_sp: + rho = interpolate.interp1d(back['z'], back['(.)rho_'+one_sp])(z) + if one_sp in ['b', 'cdm']: + w = 0. + elif one_sp in ['g', 'ur']: + w = 1./3. + else: + w = interpolate.interp1d( + back['z'], back['(.)p_'+one_sp]/back['(.)rho_'+one_sp])(z) + delta = trans['d_'+one_sp] + if one_sp == 'cdm': + theta = np.zeros_like(delta) + else: + theta = trans['t_'+one_sp] + delta_rho += 3.*rho*(delta+3*aH*(1.+w)*theta/k_range**2.) + + G_eff = -2*k_range**2*(z+1.)**2*phi/delta_rho + return k_range, G_eff + + def G_eff_at_k_and_z_smg(self, k, z): + """ + G_eff_at_k_and_z_smg(k, z) + + Return G_eff from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_eff = -2 k^2/a^2 Phi/delta_rho + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + """ + + k_range, G_eff = self.G_eff_at_z_smg(z) + G_eff = interpolate.interp1d(k_range, G_eff)(k) + return float(G_eff) + + def slip_eff_at_z_smg(self, z): + """ + slip_eff_at_z_smg(z) + + Return arrays of k [1/Mpc] and slip_eff at a given + redshift z from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + slip = Phi/Psi + + Parameters + ---------- + z : float + Desired redshift + + there is an additional check that output contains `mTk`, + because otherwise a segfault will occur + + """ + + if (self.pt.has_density_transfers == _FALSE_): + raise CosmoSevereError("No density transfer functions computed. You must add mTk to the list of outputs.") + + # Get transfer + trans = self.get_transfer(z=z) + k_range = trans['k (h/Mpc)']*self.h() + # Get metric potentials + phi = trans['phi'] + psi = trans['psi'] + + slip = phi/psi + + return k_range, slip + + def slip_eff_at_k_and_z_smg(self, k, z): + """ + slip_eff_at_k_and_z_smg(k, z) + + Return slip_eff from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + slip = Phi/Psi + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + """ + + k_range, slip = self.slip_eff_at_z_smg(z) + slip = interpolate.interp1d(k_range, slip)(k) + return float(slip) + + def G_matter_at_z_smg(self, z): + """ + G_matter_at_z_smg(z) + + Return arrays of k [1/Mpc] and G_matter at a given + redshift z from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_matter = -2 k^2/a^2 Psi/delta_rho + + Parameters + ---------- + z : float + Desired redshift + """ + k_range, G_eff = self.G_eff_at_z_smg(z) + _, slip = self.slip_eff_at_z_smg(z) + + G_matter = G_eff/slip + return k_range, G_matter + + def G_matter_at_k_and_z_smg(self, k, z): + """ + G_matter_at_k_and_z_smg(k, z) + + Return G_matter from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_matter = -2 k^2/a^2 Psi/delta_rho + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + """ + + k_range, G_matter = self.G_matter_at_z_smg(z) + G_matter = interpolate.interp1d(k_range, G_matter)(k) + return float(G_matter) + + def G_light_at_z_smg(self, z): + """ + G_light_at_z_smg(z) + + Return arrays of k [1/Mpc] and G_light at a given + redshift z from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_light = -2 k^2/a^2 (Phi+Psi)/2/delta_rho + + Parameters + ---------- + z : float + Desired redshift + """ + k_range, G_eff = self.G_eff_at_z_smg(z) + _, slip = self.slip_eff_at_z_smg(z) + + G_light = (slip + 1)*G_eff/slip/2 + return k_range, G_light + + def G_light_at_k_and_z_smg(self, k, z): + """ + G_light_at_k_and_z_smg(k, z) + + Return G_light from the transfer module directly. + If the matter density is the gauge invariant + one and the metric perturbations are: + -) delta_g_00 = -2 Psi + -) delta_g_ij = -2 Phi delta_ij + Then: + G_light = -2 k^2/a^2 (Phi+Psi)/2/delta_rho + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + """ + + k_range, G_light = self.G_light_at_z_smg(z) + G_light = interpolate.interp1d(k_range, G_light)(k) + return float(G_light) + + def get_qs_functions_at_k_and_z_qs_smg(self, k, z): + """ + get_qs_functions_at_k_and_z_qs_smg(k, z) + + Return the quasi-static (QS) functions + -) mass2_qs + -) mass2_qs_p + -) rad2_qs + -) friction_qs + -) slope_qs + at a given scale (k) and time (z). + These functions are the same used in the QS + automatic algorithm to determine at which times + and scales the system can be safely treated as + QS (mass2_qs_p and friction_qs are intermediate + steps to calculate slope_qs). They are useful to + inspect suspicious results and the validity of the QS. + + Parameters + ---------- + k : float + Desired scale + z : float + Desired redshift + """ + cdef double tau + cdef double mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs + cdef short approx_qs + + if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + if perturbations_qs_functions_at_tau_and_k_qs_smg(&self.pr,&self.ba,&self.pt, k, tau, + &mass2_qs, &mass2_qs_p, &rad2_qs, &friction_qs, &slope_qs, &approx_qs)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) + + return mass2_qs, mass2_qs_p, rad2_qs, friction_qs, slope_qs + + def scale_dependent_growth_factor_at_z(self, z): + """ + scale_dependent_growth_factor_at_z(z) + + Return arrays of k [1/Mpc] and growth factor D + at a given redshift z from the transfer module. + + Parameters + ---------- + z : float + Desired redshift + + there is an additional check that output contains `mTk`, + because otherwise a segfault will occur + + """ + if (self.pt.has_density_transfers == _FALSE_): + raise CosmoSevereError("No density transfer functions computed. You must add mTk to the list of outputs.") + + # Get transfer + trans = self.get_transfer(z=z) + trans_0 = self.get_transfer(z=0.) + k_range = trans['k (h/Mpc)']*self.h() + # Get metric potentials + d_m = trans['d_m'] + d_m_0 = trans_0['d_m'] + + D = d_m/d_m_0 + + return k_range, D + + def scale_dependent_growth_factor_at_k_and_z(self, k, z): + """ + scale_dependent_growth_factor_at_k_and_z(k, z) + + Return the growth factor D at a given k and z + from the power spectrum module. + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + """ + + D = np.sqrt(self.pk_lin(k, z)/self.pk_lin(k, 0.)) + return D + + def scale_dependent_growth_factor_f_at_z(self, z, z_step=0.1): + """ + scale_dependent_growth_factor_f_at_z(z) + + Return arrays of k [1/Mpc] and growth rate + f(z)=d ln D / d ln a at a given redshift z + from the transfer module. + + Parameters + ---------- + z : float + Desired redshift + z_step : float + Default step used for the numerical two-sided derivative. For z < z_step the step is reduced progressively down to z_step/10 while sticking to a double-sided derivative. For z< z_step/10 a single-sided derivative is used instead. + """ + z_max = self.pt.z_max_pk + + k_range, D_0 = self.scale_dependent_growth_factor_at_z(z) + # if possible, use two-sided derivative with default value of z_step + if (z >= z_step) and (z_max >= z+z_step): + _, D_p1 = self.scale_dependent_growth_factor_at_z(z+z_step) + _, D_m1 = self.scale_dependent_growth_factor_at_z(z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + elif (z_max >= z+z_step): + # if z is between z_step/10 and z_step, reduce z_step to z, and then stick to two-sided derivative + if (z > z_step/10.): + z_step = z + _, D_p1 = self.scale_dependent_growth_factor_at_z(z+z_step) + _, D_m1 = self.scale_dependent_growth_factor_at_z(z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + # if z is between 0 and z_step/10, use single-sided derivative with z_step/10 + else: + z_step /=10 + _, D_p1 = self.scale_dependent_growth_factor_at_z(z+z_step) + dDdz = (D_p1-D_0)/z_step + else: + # if z is between z_step/10 and z_step, reduce z_step to z, and then stick to two-sided derivative + if (z_max >= z+z_step/10): + z_step = z_max-z + _, D_p1 = self.scale_dependent_growth_factor_at_z(z+z_step) + _, D_m1 = self.scale_dependent_growth_factor_at_z(z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + # if z is between 0 and z_step/10, use single-sided derivative with z_step/10 + else: + z_step /=10 + _, D_m1 = self.scale_dependent_growth_factor_at_z(z-z_step) + dDdz = (D_0-D_m1)/z_step + f = -(1+z)*dDdz/D_0 + + return k_range, f + + def scale_dependent_growth_factor_f_at_k_and_z(self, k, z, z_step=0.1): + """ + scale_dependent_growth_factor_f_at_k_and_z(k, z) + + Return the growth factor f at a given k and z + from the power spectrum module. + + Parameters + ---------- + k : float + Desired scale (1/Mpc) + z : float + Desired redshift + z_step : float + Default step used for the numerical two-sided derivative. For z < z_step the step is reduced progressively down to z_step/10 while sticking to a double-sided derivative. For z< z_step/10 a single-sided derivative is used instead. + """ + z_max = self.pt.z_max_pk + + D_0 = self.scale_dependent_growth_factor_at_k_and_z(k, z) + # if possible, use two-sided derivative with default value of z_step + if (z >= z_step) and (z_max >= z+z_step): + D_p1 = self.scale_dependent_growth_factor_at_k_and_z(k, z+z_step) + D_m1 = self.scale_dependent_growth_factor_at_k_and_z(k, z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + elif (z_max >= z+z_step): + # if z is between z_step/10 and z_step, reduce z_step to z, and then stick to two-sided derivative + if (z > z_step/10.): + z_step = z + D_p1 = self.scale_dependent_growth_factor_at_k_and_z(k, z+z_step) + D_m1 = self.scale_dependent_growth_factor_at_k_and_z(k, z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + # if z is between 0 and z_step/10, use single-sided derivative with z_step/10 + else: + z_step /=10 + D_p1 = self.scale_dependent_growth_factor_at_k_and_z(k, z+z_step) + dDdz = (D_p1-D_0)/z_step + else: + # if z is between z_step/10 and z_step, reduce z_step to z, and then stick to two-sided derivative + if (z_max >= z+z_step/10): + z_step = z_max-z + D_p1 = self.scale_dependent_growth_factor_at_k_and_z(k, z+z_step) + D_m1 = self.scale_dependent_growth_factor_at_k_and_z(k, z-z_step) + dDdz = (D_p1-D_m1)/(2.*z_step) + # if z is between 0 and z_step/10, use single-sided derivative with z_step/10 + else: + z_step /=10 + D_m1 = self.scale_dependent_growth_factor_at_k_and_z(k, z-z_step) + dDdz = (D_0-D_m1)/z_step + f = -(1+z)*dDdz/D_0 + + return f + + def ionization_fraction(self, z): + """ + ionization_fraction(z) + + Return the ionization fraction for a given redshift z + + Parameters + ---------- + z : float + Desired redshift + """ + cdef int last_index #junk + cdef double * pvecback + cdef double * pvecthermo + + pvecback = calloc(self.ba.bg_size,sizeof(double)) + pvecthermo = calloc(self.th.th_size,sizeof(double)) + + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: + raise CosmoSevereError(self.ba.error_message) + + if thermodynamics_at_z(&self.ba,&self.th,z,inter_normal,&last_index,pvecback,pvecthermo) == _FAILURE_: + raise CosmoSevereError(self.th.error_message) + + xe = pvecthermo[self.th.index_th_xe] free(pvecback) free(pvecthermo) @@ -1236,7 +2512,6 @@ cdef class Class: z : float Desired redshift """ - cdef double tau cdef int last_index #junk cdef double * pvecback cdef double * pvecthermo @@ -1244,13 +2519,10 @@ cdef class Class: pvecback = calloc(self.ba.bg_size,sizeof(double)) pvecthermo = calloc(self.th.th_size,sizeof(double)) - if background_tau_of_z(&self.ba,z,&tau)==_FAILURE_: - raise CosmoSevereError(self.ba.error_message) - - if background_at_tau(&self.ba,tau,self.ba.long_info,self.ba.inter_normal,&last_index,pvecback)==_FAILURE_: + if background_at_z(&self.ba,z,long_info,inter_normal,&last_index,pvecback)==_FAILURE_: raise CosmoSevereError(self.ba.error_message) - if thermodynamics_at_z(&self.ba,&self.th,z,self.th.inter_normal,&last_index,pvecback,pvecthermo) == _FAILURE_: + if thermodynamics_at_z(&self.ba,&self.th,z,inter_normal,&last_index,pvecback,pvecthermo) == _FAILURE_: raise CosmoSevereError(self.th.error_message) Tb = pvecthermo[self.th.index_th_Tb] @@ -1266,11 +2538,13 @@ cdef class Class: """ return self.ba.T_cmb + # redundent with a previous Omega_m() funciton, + # but we leave it not to break compatibility def Omega0_m(self): """ Return the sum of Omega0 for all non-relativistic components """ - return self.ba.Omega0_b+self.ba.Omega0_cdm+self.ba.Omega0_ncdm_tot + self.ba.Omega0_dcdm + return self.ba.Omega0_m def get_background(self): """ @@ -1368,8 +2642,8 @@ cdef class Class: raise CosmoSevereError(self.pm.error_message) tmp = titles - names = tmp.split("\t")[:-1] tmp = str(tmp.decode()) + names = tmp.split("\t")[:-1] number_of_titles = len(names) timesteps = self.pm.lnk_size @@ -1389,12 +2663,6 @@ cdef class Class: free(data) return primordial - - @cython.returns(dict) - @cython.initializedcheck(False) - @cython.boundscheck(False) - @cython.cdivision(True) - @cython.ccall def get_perturbations(self): """ Return scalar, vector and/or tensor perturbations as arrays for requested @@ -1466,9 +2734,9 @@ cdef class Class: def get_transfer(self, z=0., output_format='class'): """ Return the density and/or velocity transfer functions for all initial - conditions today. You must include 'dCl' and 'vCl' in the list of + conditions today. You must include 'mTk' and/or 'vCTk' in the list of 'output'. The transfer functions can also be computed at higher redshift z - provided that 'z_pk' has been set and that z is inside the region spanned by 'z_pk'. + provided that 'z_pk' has been set and that 0calloc(_MAXTITLESTRINGLENGTH_,sizeof(char)) - if spectra_output_tk_titles(&self.ba,&self.pt, outf, titles)==_FAILURE_: - raise CosmoSevereError(self.op.error_message) + if perturbations_output_titles(&self.ba,&self.pt, outf, titles)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) tmp = titles tmp = str(tmp.decode()) names = tmp.split("\t")[:-1] number_of_titles = len(names) - timesteps = self.sp.ln_k_size + timesteps = self.pt.k_size[index_md] size_ic_data = timesteps*number_of_titles; - ic_num = self.sp.ic_size[index_md]; + ic_num = self.pt.ic_size[index_md]; data = malloc(sizeof(double)*size_ic_data*ic_num) - if spectra_output_tk_data(&self.ba, &self.pt, &self.sp, outf, z, number_of_titles, data)==_FAILURE_: - raise CosmoSevereError(self.sp.error_message) + if perturbations_output_data_at_z(&self.ba, &self.pt, outf, z, number_of_titles, data)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) - spectra = {} + transfers = {} for index_ic in range(ic_num): - if spectra_firstline_and_ic_suffix(&self.pt, index_ic, ic_info, ic_suffix)==_FAILURE_: - raise CosmoSevereError(self.op.error_message) + if perturbations_output_firstline_and_ic_suffix(&self.pt, index_ic, ic_info, ic_suffix)==_FAILURE_: + raise CosmoSevereError(self.pt.error_message) ic_key = ic_suffix tmpdict = {} @@ -1528,15 +2796,14 @@ cdef class Class: tmpdict[names[i]][index] = data[index_ic*size_ic_data+index*number_of_titles+i] if ic_num==1: - spectra = tmpdict + transfers = tmpdict else: - spectra[ic_key] = tmpdict + transfers[ic_key] = tmpdict free(titles) free(data) - return spectra - + return transfers def get_current_derived_parameters(self, names): """ @@ -1582,17 +2849,24 @@ cdef class Class: elif name == 'conformal_age': value = self.ba.conformal_age elif name == 'm_ncdm_in_eV': + self.compute(["background"]) value = self.ba.m_ncdm_in_eV[0] elif name == 'm_ncdm_tot': value = self.ba.Omega0_ncdm_tot*self.ba.h*self.ba.h*93.14 elif name == 'Neff': value = self.ba.Neff elif name == 'Omega_m': - value = (self.ba.Omega0_b + self.ba.Omega0_cdm+ - self.ba.Omega0_ncdm_tot + self.ba.Omega0_dcdm) + value = self.ba.Omega0_m elif name == 'omega_m': - value = (self.ba.Omega0_b + self.ba.Omega0_cdm+ - self.ba.Omega0_ncdm_tot + self.ba.Omega0_dcdm)/self.ba.h**2 + value = self.ba.Omega0_m*self.ba.h**2 + elif name == 'xi_idr': + value = self.ba.T_idr/self.ba.T_cmb + elif name == 'N_dg': + value = self.ba.Omega0_idr/self.ba.Omega0_g*8./7.*pow(11./4.,4./3.) + elif name == 'Gamma_0_nadm': + value = self.th.a_idm_dr*(4./3.)*(self.ba.h*self.ba.h*self.ba.Omega0_idr) + elif name == 'a_dark': + value = self.th.a_idm_dr elif name == 'tau_reio': value = self.th.tau_reio elif name == 'z_reio': @@ -1617,6 +2891,20 @@ cdef class Class: value = self.th.da_rec elif name == 'da_rec_h': value = self.th.da_rec*self.ba.h + elif name == 'z_star': + value = self.th.z_star + elif name == 'tau_star': + value = self.th.tau_star + elif name == 'rs_star': + value = self.th.rs_star + elif name == 'ds_star': + value = self.th.ds_star + elif name == 'ra_star': + value = self.th.ra_star + elif name == 'da_star': + value = self.th.da_star + elif name == 'rd_star': + value = self.th.rd_star elif name == 'z_d': value = self.th.z_d elif name == 'tau_d': @@ -1631,6 +2919,12 @@ cdef class Class: value = self.th.rs_d*self.ba.h elif name == '100*theta_s': value = 100.*self.th.rs_rec/self.th.da_rec/(1.+self.th.z_rec) + elif name == '100*theta_star': + value = 100.*self.th.rs_star/self.th.da_star/(1.+self.th.z_star) + elif name == 'theta_s_100': + value = 100.*self.th.rs_rec/self.th.da_rec/(1.+self.th.z_rec) + elif name == 'theta_star_100': + value = 100.*self.th.rs_star/self.th.da_star/(1.+self.th.z_star) elif name == 'YHe': value = self.th.YHe elif name == 'n_e': @@ -1639,6 +2933,8 @@ cdef class Class: value = self.pm.A_s elif name == 'ln10^{10}A_s': value = log(1.e10*self.pm.A_s) + elif name == 'ln_A_s_1e10': + value = log(1.e10*self.pm.A_s) elif name == 'n_s': value = self.pm.n_s elif name == 'alpha_s': @@ -1687,40 +2983,42 @@ cdef class Class: value = self.pm.phi_min elif name == 'phi_max': value = self.pm.phi_max - elif name == 'alpha_kp': - value = self.sp.alpha_kp - elif name == 'alpha_k1': - value = self.sp.alpha_k1 - elif name == 'alpha_k2': - value = self.sp.alpha_k2 - elif name == 'alpha_II_2_20': - value = self.sp.alpha_II_2_20 - elif name == 'alpha_RI_2_20': - value = self.sp.alpha_RI_2_20 - elif name == 'alpha_RR_2_20': - value = self.sp.alpha_RR_2_20 - elif name == 'alpha_II_21_200': - value = self.sp.alpha_II_21_200 - elif name == 'alpha_RI_21_200': - value = self.sp.alpha_RI_21_200 - elif name == 'alpha_RR_21_200': - value = self.sp.alpha_RR_21_200 - elif name == 'alpha_II_201_2500': - value = self.sp.alpha_II_201_2500 - elif name == 'alpha_RI_201_2500': - value = self.sp.alpha_RI_201_2500 - elif name == 'alpha_RR_201_2500': - value = self.sp.alpha_RR_201_2500 - elif name == 'alpha_II_2_2500': - value = self.sp.alpha_II_2_2500 - elif name == 'alpha_RI_2_2500': - value = self.sp.alpha_RI_2_2500 - elif name == 'alpha_RR_2_2500': - value = self.sp.alpha_RR_2_2500 elif name == 'sigma8': - value = self.sp.sigma8 + self.compute(["fourier"]) + if (self.pt.has_pk_matter == _FALSE_): + raise CosmoSevereError("No power spectrum computed. In order to get sigma8, you must add mPk to the list of outputs.") + value = self.fo.sigma8[self.fo.index_pk_m] elif name == 'sigma8_cb': - value = self.sp.sigma8_cb + self.compute(["fourier"]) + if (self.pt.has_pk_matter == _FALSE_): + raise CosmoSevereError("No power spectrum computed. In order to get sigma8_cb, you must add mPk to the list of outputs.") + value = self.fo.sigma8[self.fo.index_pk_cb] + elif name == 'k_eq': + value = self.ba.a_eq*self.ba.H_eq + elif name == 'a_eq': + value = self.ba.a_eq + elif name == 'z_eq': + value = 1./self.ba.a_eq-1. + elif name == 'H_eq': + value = self.ba.H_eq + elif name == 'tau_eq': + value = self.ba.tau_eq + elif name == 'g_sd': + self.compute(["distortions"]) + if (self.sd.has_distortions == _FALSE_): + raise CosmoSevereError("No spectral distortions computed. In order to get g_sd, you must add sd to the list of outputs.") + value = self.sd.sd_parameter_table[0] + elif name == 'y_sd': + self.compute(["distortions"]) + if (self.sd.has_distortions == _FALSE_): + raise CosmoSevereError("No spectral distortions computed. In order to get y_sd, you must add sd to the list of outputs.") + value = self.sd.sd_parameter_table[1] + elif name == 'mu_sd': + self.compute(["distortions"]) + if (self.sd.has_distortions == _FALSE_): + raise CosmoSevereError("No spectral distortions computed. In order to get mu_sd, you must add sd to the list of outputs.") + value = self.sd.sd_parameter_table[2] + elif name == 'Omega0_smg' or name == 'Omega_smg': value = self.Omega0_smg() elif 'parameters_smg_real' in name: @@ -1739,7 +3037,7 @@ cdef class Class: try: index = int(name.split('_')[-1]) except: - print "Index not given or not an interger: printing the whole array" + print("Index not given or not an interger: printing the whole array") array = [] for i in range(carray_size): array.append(carray[i]) @@ -1749,7 +3047,7 @@ cdef class Class: return carray[index-1] else: raise CosmoSevereError("%s index is greater than array length" % name) - + def nonlinear_scale(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): """ nonlinear_scale(z, z_size) @@ -1770,16 +3068,18 @@ cdef class Class: #cdef double *k_nl #k_nl = calloc(z_size,sizeof(double)) for index_z in range(z_size): - if nonlinear_k_nl_at_z(&self.ba,&self.nl,z[index_z],&k_nl[index_z],&k_nl_cb[index_z]) == _FAILURE_: - raise CosmoSevereError(self.nl.error_message) + if fourier_k_nl_at_z(&self.ba,&self.fo,z[index_z],&k_nl[index_z],&k_nl_cb[index_z]) == _FAILURE_: + raise CosmoSevereError(self.fo.error_message) return k_nl def nonlinear_scale_cb(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): """ - nonlinear_scale(z, z_size) + +make nonlinear_scale_cb(z, z_size) Return the nonlinear scale for all the redshift specified in z, of size + z_size Parameters @@ -1796,14 +3096,194 @@ cdef class Class: #k_nl = calloc(z_size,sizeof(double)) if (self.ba.Omega0_ncdm_tot == 0.): raise CosmoSevereError( - "No massive neutrinos. You must use nonlinear_scale, rather than nonlinear_scale_cb." + "No massive neutrinos. You must use pk, rather than pk_cb." ) for index_z in range(z_size): - if nonlinear_k_nl_at_z(&self.ba,&self.nl,z[index_z],&k_nl[index_z],&k_nl_cb[index_z]) == _FAILURE_: - raise CosmoSevereError(self.nl.error_message) + if fourier_k_nl_at_z(&self.ba,&self.fo,z[index_z],&k_nl[index_z],&k_nl_cb[index_z]) == _FAILURE_: + raise CosmoSevereError(self.fo.error_message) return k_nl_cb + def fourier_hmcode_sigma8(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigma8(z, z_size) + + Return sigma_8 for all the redshift specified in z, of size + + """ + cdef int index_z + + cdef np.ndarray[DTYPE_t, ndim=1] sigma_8 = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_8_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigma8_at_z(&self.ba,&self.fo,z[index_z],&sigma_8[index_z],&sigma_8_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_8 + + def fourier_hmcode_sigma8_cb(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigma8(z, z_size) + + Return sigma_8 for all the redshift specified in z, of size + + """ + cdef int index_z + + cdef np.ndarray[DTYPE_t, ndim=1] sigma_8 = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_8_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigma8_at_z(&self.ba,&self.fo,z[index_z],&sigma_8[index_z],&sigma_8_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_8_cb + + def fourier_hmcode_sigmadisp(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmadisp(z, z_size) + + Return sigma_disp for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmadisp_at_z(&self.ba,&self.fo,z[index_z],&sigma_disp[index_z],&sigma_disp_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_disp + + def fourier_hmcode_sigmadisp_cb(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmadisp(z, z_size) + + Return sigma_disp for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmadisp_at_z(&self.ba,&self.fo,z[index_z],&sigma_disp[index_z],&sigma_disp_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_disp_cb + + def fourier_hmcode_sigmadisp100(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmadisp100(z, z_size) + + Return sigma_disp_100 for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_100 = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_100_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmadisp100_at_z(&self.ba,&self.fo,z[index_z],&sigma_disp_100[index_z],&sigma_disp_100_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_disp_100 + + def fourier_hmcode_sigmadisp100_cb(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmadisp100(z, z_size) + + Return sigma_disp_100 for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_100 = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_disp_100_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmadisp100_at_z(&self.ba,&self.fo,z[index_z],&sigma_disp_100[index_z],&sigma_disp_100_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_disp_100_cb + + def fourier_hmcode_sigmaprime(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmaprime(z, z_size) + + Return sigma_disp for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_prime = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_prime_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmaprime_at_z(&self.ba,&self.fo,z[index_z],&sigma_prime[index_z],&sigma_prime_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_prime + + def fourier_hmcode_sigmaprime_cb(self, np.ndarray[DTYPE_t,ndim=1] z, int z_size): + """ + fourier_hmcode_sigmaprime(z, z_size) + + Return sigma_disp for all the redshift specified in z, of size + z_size + + Parameters + ---------- + z : numpy array + Array of requested redshifts + z_size : int + Size of the redshift array + """ + cdef int index_z + cdef np.ndarray[DTYPE_t, ndim=1] sigma_prime = np.zeros(z_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sigma_prime_cb = np.zeros(z_size,'float64') + +# for index_z in range(z_size): +# if fourier_hmcode_sigmaprime_at_z(&self.ba,&self.fo,z[index_z],&sigma_prime[index_z],&sigma_prime_cb[index_z]) == _FAILURE_: +# raise CosmoSevereError(self.fo.error_message) + + return sigma_prime_cb + def __call__(self, ctx): """ Function to interface with CosmoHammer @@ -1840,20 +3320,28 @@ cdef class Class: def get_pk_array(self, np.ndarray[DTYPE_t,ndim=1] k, np.ndarray[DTYPE_t,ndim=1] z, int k_size, int z_size, nonlinear): """ Fast function to get the power spectrum on a k and z array """ - cdef int nonlinearint cdef np.ndarray[DTYPE_t, ndim=1] pk = np.zeros(k_size*z_size,'float64') cdef np.ndarray[DTYPE_t, ndim=1] pk_cb = np.zeros(k_size*z_size,'float64') - nonlinearint=1 if nonlinear else 0 - spectra_fast_pk_at_kvec_and_zvec(&self.ba, &self.sp, k.data, k_size, z.data, z_size, pk.data, pk_cb.data, nonlinearint) + + if nonlinear == 0: + fourier_pks_at_kvec_and_zvec(&self.ba, &self.fo, pk_linear, k.data, k_size, z.data, z_size, pk.data, pk_cb.data) + + else: + fourier_pks_at_kvec_and_zvec(&self.ba, &self.fo, pk_nonlinear, k.data, k_size, z.data, z_size, pk.data, pk_cb.data) + return pk def get_pk_cb_array(self, np.ndarray[DTYPE_t,ndim=1] k, np.ndarray[DTYPE_t,ndim=1] z, int k_size, int z_size, nonlinear): """ Fast function to get the power spectrum on a k and z array """ - cdef int nonlinearint cdef np.ndarray[DTYPE_t, ndim=1] pk = np.zeros(k_size*z_size,'float64') cdef np.ndarray[DTYPE_t, ndim=1] pk_cb = np.zeros(k_size*z_size,'float64') - nonlinearint=1 if nonlinear else 0 - spectra_fast_pk_at_kvec_and_zvec(&self.ba, &self.sp, k.data, k_size, z.data, z_size, pk.data, pk_cb.data, nonlinearint) + + if nonlinear == 0: + fourier_pks_at_kvec_and_zvec(&self.ba, &self.fo, pk_linear, k.data, k_size, z.data, z_size, pk.data, pk_cb.data) + + else: + fourier_pks_at_kvec_and_zvec(&self.ba, &self.fo, pk_nonlinear, k.data, k_size, z.data, z_size, pk.data, pk_cb.data) + return pk_cb def Omega0_k(self): @@ -1862,3 +3350,199 @@ cdef class Class: def Omega0_cdm(self): return self.ba.Omega0_cdm + + def spectral_distortion_amplitudes(self): + if self.sd.type_size == 0: + raise CosmoSevereError("No spectral distortions have been calculated. Check that the output contains 'Sd' and the compute level is at least 'distortions'.") + cdef np.ndarray[DTYPE_t, ndim=1] sd_type_amps = np.zeros(self.sd.type_size,'float64') + for i in range(self.sd.type_size): + sd_type_amps[i] = self.sd.sd_parameter_table[i] + return sd_type_amps + + def spectral_distortion(self): + if self.sd.x_size == 0: + raise CosmoSevereError("No spectral distortions have been calculated. Check that the output contains 'Sd' and the compute level is at least 'distortions'.") + cdef np.ndarray[DTYPE_t, ndim=1] sd_amp = np.zeros(self.sd.x_size,'float64') + cdef np.ndarray[DTYPE_t, ndim=1] sd_nu = np.zeros(self.sd.x_size,'float64') + for i in range(self.sd.x_size): + sd_amp[i] = self.sd.DI[i]*self.sd.DI_units*1.e26 + sd_nu[i] = self.sd.x[i]*self.sd.x_to_nu + return sd_nu,sd_amp + + + def get_sources(self): + """ + Return the source functions for all k, tau in the grid. + + Returns + ------- + sources : dictionary containing source functions. + k_array : numpy array containing k values. + tau_array: numpy array containing tau values. + """ + sources = {} + + cdef: + int index_k, index_tau, i_index_type; + int index_type; + int index_md = self.pt.index_md_scalars; + double * k = self.pt.k[index_md]; + double * tau = self.pt.tau_sampling; + int index_ic = self.pt.index_ic_ad; + int k_size = self.pt.k_size[index_md]; + int tau_size = self.pt.tau_size; + int tp_size = self.pt.tp_size[index_md]; + double *** sources_ptr = self.pt.sources; + double [:,:] tmparray = np.zeros((k_size, tau_size)) ; + double [:] k_array = np.zeros(k_size); + double [:] tau_array = np.zeros(tau_size); + + names = [] + + for index_k in range(k_size): + k_array[index_k] = k[index_k] + for index_tau in range(tau_size): + tau_array[index_tau] = tau[index_tau] + + indices = [] + + if self.pt.has_source_t: + indices.extend([ + self.pt.index_tp_t0, + self.pt.index_tp_t1, + self.pt.index_tp_t2 + ]) + names.extend([ + "t0", + "t1", + "t2" + ]) + if self.pt.has_source_p: + indices.append(self.pt.index_tp_p) + names.append("p") + if self.pt.has_source_phi: + indices.append(self.pt.index_tp_phi) + names.append("phi") + if self.pt.has_source_phi_plus_psi: + indices.append(self.pt.index_tp_phi_plus_psi) + names.append("phi_plus_psi") + if self.pt.has_source_phi_prime: + indices.append(self.pt.index_tp_phi_prime) + names.append("phi_prime") + if self.pt.has_source_psi: + indices.append(self.pt.index_tp_psi) + names.append("psi") + if self.pt.has_source_H_T_Nb_prime: + indices.append(self.pt.index_tp_H_T_Nb_prime) + names.append("H_T_Nb_prime") + if self.pt.index_tp_k2gamma_Nb: + indices.append(self.pt.index_tp_k2gamma_Nb) + names.append("k2gamma_Nb") + if self.pt.has_source_h: + indices.append(self.pt.index_tp_h) + names.append("h") + if self.pt.has_source_h_prime: + indices.append(self.pt.index_tp_h_prime) + names.append("h_prime") + if self.pt.has_source_eta: + indices.append(self.pt.index_tp_eta) + names.append("eta") + if self.pt.has_source_eta_prime: + indices.append(self.pt.index_tp_eta_prime) + names.append("eta_prime") + if self.pt.has_source_delta_tot: + indices.append(self.pt.index_tp_delta_tot) + names.append("delta_tot") + if self.pt.has_source_delta_m: + indices.append(self.pt.index_tp_delta_m) + names.append("delta_m") + if self.pt.has_source_delta_cb: + indices.append(self.pt.index_tp_delta_cb) + names.append("delta_cb") + if self.pt.has_source_delta_g: + indices.append(self.pt.index_tp_delta_g) + names.append("delta_g") + if self.pt.has_source_delta_b: + indices.append(self.pt.index_tp_delta_b) + names.append("delta_b") + if self.pt.has_source_delta_cdm: + indices.append(self.pt.index_tp_delta_cdm) + names.append("delta_cdm") + if self.pt.has_source_delta_idm: + indices.append(self.pt.index_tp_delta_idm) + names.append("delta_idm") + if self.pt.has_source_delta_dcdm: + indices.append(self.pt.index_tp_delta_dcdm) + names.append("delta_dcdm") + if self.pt.has_source_delta_fld: + indices.append(self.pt.index_tp_delta_fld) + names.append("delta_fld") + if self.pt.has_source_delta_scf: + indices.append(self.pt.index_tp_delta_scf) + names.append("delta_scf") + if self.pt.has_source_delta_dr: + indices.append(self.pt.index_tp_delta_dr) + names.append("delta_dr") + if self.pt.has_source_delta_ur: + indices.append(self.pt.index_tp_delta_ur) + names.append("delta_ur") + if self.pt.has_source_delta_idr: + indices.append(self.pt.index_tp_delta_idr) + names.append("delta_idr") + if self.pt.has_source_delta_ncdm: + for incdm in range(self.ba.N_ncdm): + indices.append(self.pt.index_tp_delta_ncdm1+incdm) + names.append("delta_ncdm[{}]".format(incdm)) + if self.pt.has_source_theta_tot: + indices.append(self.pt.index_tp_theta_tot) + names.append("theta_tot") + if self.pt.has_source_theta_m: + indices.append(self.pt.index_tp_theta_m) + names.append("theta_m") + if self.pt.has_source_theta_cb: + indices.append(self.pt.index_tp_theta_cb) + names.append("theta_cb") + if self.pt.has_source_theta_g: + indices.append(self.pt.index_tp_theta_g) + names.append("theta_g") + if self.pt.has_source_theta_b: + indices.append(self.pt.index_tp_theta_b) + names.append("theta_b") + if self.pt.has_source_theta_cdm: + indices.append(self.pt.index_tp_theta_cdm) + names.append("theta_cdm") + if self.pt.has_source_theta_idm: + indices.append(self.pt.index_tp_theta_idm) + names.append("theta_idm") + if self.pt.has_source_theta_dcdm: + indices.append(self.pt.index_tp_theta_dcdm) + names.append("theta_dcdm") + if self.pt.has_source_theta_fld: + indices.append(self.pt.index_tp_theta_fld) + names.append("theta_fld") + if self.pt.has_source_theta_scf: + indices.append(self.pt.index_tp_theta_scf) + names.append("theta_scf") + if self.pt.has_source_theta_dr: + indices.append(self.pt.index_tp_theta_dr) + names.append("theta_dr") + if self.pt.has_source_theta_ur: + indices.append(self.pt.index_tp_theta_ur) + names.append("theta_ur") + if self.pt.has_source_theta_idr: + indices.append(self.pt.index_tp_theta_idr) + names.append("theta_idr") + if self.pt.has_source_theta_ncdm: + for incdm in range(self.ba.N_ncdm): + indices.append(self.pt.index_tp_theta_ncdm1+incdm) + names.append("theta_ncdm[{}]".format(incdm)) + + for index_type, name in zip(indices, names): + tmparray = np.empty((k_size,tau_size)) + for index_k in range(k_size): + for index_tau in range(tau_size): + tmparray[index_k][index_tau] = sources_ptr[index_md][index_ic*tp_size+index_type][index_tau*k_size + index_k]; + + sources[name] = np.asarray(tmparray) + + return (sources, np.asarray(k_array), np.asarray(tau_array)) diff --git a/python/setup.py b/python/setup.py index 74a9b7c9..3a29c298 100644 --- a/python/setup.py +++ b/python/setup.py @@ -24,6 +24,10 @@ root_folder = os.path.join(os.path.dirname(os.path.abspath(__file__)), "..") include_folder = os.path.join(root_folder, "include") classy_folder = os.path.join(root_folder, "python") +heat_folder = os.path.join(os.path.join(root_folder, "external"),"heating") +recfast_folder = os.path.join(os.path.join(root_folder, "external"),"RecfastCLASS") +hyrec_folder = os.path.join(os.path.join(root_folder, "external"),"HyRec2020") +hiclass_folder = os.path.join(os.path.join(root_folder, "gravity_smg"), "include") # Recover the CLASS version with open(os.path.join(include_folder, 'common.h'), 'r') as v_file: @@ -33,17 +37,23 @@ VERSION = line.split()[-1][2:-1] break +# Define cython extension and fix Python version +classy_ext = Extension("classy", [os.path.join(classy_folder, "classy.pyx")], + include_dirs=[nm.get_include(), include_folder, heat_folder, recfast_folder, hyrec_folder, hiclass_folder], + libraries=liblist, + library_dirs=[root_folder, GCCPATH], + #extra_link_args=['-lgomp'], + language="c++", + extra_compile_args=["-std=c++11"] + ) +import sys +classy_ext.cython_directives = {'language_level': "3" if sys.version_info.major>=3 else "2"} + setup( name='classy', version=VERSION, description='Python interface to the Cosmological Boltzmann code CLASS', url='http://www.class-code.net', cmdclass={'build_ext': build_ext}, - ext_modules=[Extension("classy", [os.path.join(classy_folder, "classy.pyx")], - include_dirs=[nm.get_include(), include_folder], - libraries=liblist, - library_dirs=[root_folder, GCCPATH], - extra_link_args=['-lgomp'], - )], - #data_files=[('bbn', ['../bbn/sBBN.dat'])] + ext_modules=[classy_ext], ) diff --git a/python/test_class.py b/python/test_class.py index 74cecb96..64da9f72 100644 --- a/python/test_class.py +++ b/python/test_class.py @@ -61,29 +61,53 @@ polarisation in the output. If not, CLASS is supposed to fail during the evaluation of the input module and return an error message. This fail is the correct behaviour of CLASS. To implement such a case, modify the function -test_incompatible_input(self) +has_incompatible_input(self) -Comparing output: When the flag 'COMPARE_OUTPUT' is set to true, the code will +Comparing output: When the flag 'COMPARE_OUTPUT_GAUGE' is set to true, the code will rerun CLASS for each case under Newtonian gauge and then compare Cl's and matter power spectrum. If the two are not close enough, it will generate a PDF plot of this and save it in the 'fail' folder. """ from __future__ import print_function -from classy import Class -from classy import CosmoSevereError +from six import iteritems +#from future.utils import iteritems +import matplotlib as mpl +mpl.use('Agg') + import itertools -import sys -import shutil -import os -import numpy as np -from math import log10 import matplotlib.pyplot as plt +import numpy as np +import os +import shutil import unittest -from nose_parameterized import parameterized -# To avoid testing for differences between synchronous and Newtonian gauge, set -# this flag to False -COMPARE_OUTPUT = True +from classy import Class +from classy import CosmoSevereError +from math import log10 +from matplotlib.offsetbox import AnchoredText +from nose.plugins.attrib import attr +from parameterized import parameterized + +# Customise test by reading environment variables +CLASS_VERBOSE = bool(int(os.getenv('CLASS_VERBOSE', '0'))) # Print output from CLASS? +COMPARE_OUTPUT_GAUGE = bool(int(os.getenv('COMPARE_OUTPUT_GAUGE', '0'))) # Compare synchronous and Newtonian gauge outputs? +COMPARE_OUTPUT_REF = bool(int(os.getenv('COMPARE_OUTPUT_REF', '0'))) # Compare classy with classyref? +POWER_ALL = bool(int(os.getenv('POWER_ALL', '0'))) # Combine every extension with each other? (Very slow!) +TEST_LEVEL = int(os.getenv('TEST_LEVEL', '0')) # 0 <= TEST_LEVEL <= 3 + +if COMPARE_OUTPUT_REF: + try: + import classyref + except: + COMPARE_OUTPUT_REF = False +# Define bounds on the relative and absolute errors of C(l) and P(k) +# between reference, Newtonian and Synchronous gauge +COMPARE_CL_RELATIVE_ERROR = 3e-3 +COMPARE_CL_RELATIVE_ERROR_GAUGE = 5*3e-3 +COMPARE_CL_ABSOLUTE_ERROR = 1e-20 +COMPARE_PK_RELATIVE_ERROR = 1e-2 +COMPARE_PK_RELATIVE_ERROR_GAUGE = 5*1e-2 +COMPARE_PK_ABSOLUTE_ERROR = 1e-20 # Dictionary of models to test the wrapper against. Each of these scenario will # be run against all the possible output choices (nothing, tCl, mPk, etc...), @@ -92,48 +116,13 @@ # against. Indeed, when not specifying a field, CLASS takes the default input. CLASS_INPUT = {} -#CLASS_INPUT['Mnu'] = ( -# [{'N_eff': 0.0, 'N_ncdm': 1, 'm_ncdm': 0.06, 'deg_ncdm': 3.0}, -# {'N_eff': 1.5, 'N_ncdm': 1, 'm_ncdm': 0.03, 'deg_ncdm': 1.5}], -# 'normal') - -#CLASS_INPUT['Curvature'] = ( -# [{'Omega_k': 0.01}, -# {'Omega_k': -0.01}], -# 'normal') - -CLASS_INPUT['Isocurvature_modes'] = ( - [{'ic': 'ad,nid,cdi', 'c_ad_cdi': -0.5}], - 'normal') - -#CLASS_INPUT['Scalar_field'] = ( - #[{'Omega_scf': 0.1, 'attractor_ic_scf': 'yes', - #'scf_parameters': '10, 0, 0, 0'}], - #'normal') - -CLASS_INPUT['Inflation'] = ( - [{'P_k_ini type': 'inflation_V'}, - {'P_k_ini type': 'inflation_H'}, - {'P_k_ini type': 'inflation_V_end'}], - 'normal') - -CLASS_INPUT['modes'] = ( - [{'modes': 't'}, - {'modes': 's, t'}], - 'power') - -CLASS_INPUT['Tensor_method'] = ( - [{'tensor method': 'exact'}, - {'tensor method': 'photons'}], - 'power') - CLASS_INPUT['Output_spectra'] = ( - [{'output': 'mPk', 'P_k_max_1/Mpc': 10}, + [{'output': 'mPk', 'P_k_max_1/Mpc': 2}, {'output': 'tCl'}, {'output': 'tCl pCl lCl'}, - {'output': 'mPk tCl lCl', 'P_k_max_1/Mpc': 10}, + {'output': 'mPk tCl lCl', 'P_k_max_1/Mpc': 2}, {'output': 'nCl sCl'}, - {'output': 'tCl pCl lCl nCl sCl'}], + {'output': 'tCl pCl nCl sCl'}], 'power') CLASS_INPUT['Nonlinear'] = ( @@ -144,11 +133,52 @@ [{'lensing': 'yes'}], 'power') -# Let's kill the machine (replace all 'normal' flags with power', uncomment at -# you own risk) -# for k, v in CLASS_INPUT.iteritems(): -# models, state = v -# CLASS_INPUT[k] = (models, 'power') +if TEST_LEVEL > 0: + CLASS_INPUT['Mnu'] = ( + [{'N_ur': 0.0, 'N_ncdm': 1, 'm_ncdm': 0.06, 'deg_ncdm': 3.0}, + {'N_ur': 1.5, 'N_ncdm': 1, 'm_ncdm': 0.03, 'deg_ncdm': 1.5}], + 'normal') + +if TEST_LEVEL > 1: + CLASS_INPUT['Curvature'] = ( + [{'Omega_k': 0.01}, + {'Omega_k': -0.01}], + 'normal') + + CLASS_INPUT['modes'] = ( + [{'modes': 't'}, + {'modes': 's, t'}], + 'power') + + CLASS_INPUT['Tensor_method'] = ( + [{'tensor method': 'exact'}, + {'tensor method': 'photons'}], + 'power') + +if TEST_LEVEL > 2: + CLASS_INPUT['Isocurvature_modes'] = ( + [{'ic': 'ad,nid,cdi', 'c_ad_cdi': -0.5}], + 'normal') + + CLASS_INPUT['Scalar_field'] = ( + [{'Omega_scf': 0.1, 'attractor_ic_scf': 'yes', + 'scf_parameters': '10, 0, 0, 0'}], + 'normal') + + CLASS_INPUT['Inflation'] = ( + [{'P_k_ini type': 'inflation_V'}, + {'P_k_ini type': 'inflation_H'}], + 'normal') + # CLASS_INPUT['Inflation'] = ( + # [{'P_k_ini type': 'inflation_V'}, + # {'P_k_ini type': 'inflation_H'}, + # {'P_k_ini type': 'inflation_V_end'}], + # 'normal') + +if POWER_ALL: + for k, v in iteritems(CLASS_INPUT): + models, state = v + CLASS_INPUT[k] = (models, 'power') INPUTPOWER = [] INPUTNORMAL = [{}] @@ -181,6 +211,21 @@ def powerset(iterable): return itertools.chain.from_iterable( itertools.combinations(xs, n) for n in range(1, len(xs)+1)) +def custom_name_func(testcase_func, param_num, param): + special_keys = ['N_ncdm'] + somekeys = [] + for key in param.args[0]: + if key in special_keys: + somekeys.append(key) + elif 'mega' in key: + somekeys.append(key) + + res = '{}_{:04d}_{}'.format( + testcase_func.__name__, + param_num, + parameterized.to_safe_name('_'.join(somekeys)) + ) + return res.strip('_') class TestClass(unittest.TestCase): """ @@ -195,19 +240,19 @@ class TestClass(unittest.TestCase): """ @classmethod - def setUpClass(self): - self.faulty_figs_path = os.path.join( + def setUpClass(cls): + cls.faulty_figs_path = os.path.join( os.path.sep.join(os.path.realpath(__file__).split( os.path.sep)[:-1]), 'faulty_figs') - if os.path.isdir(self.faulty_figs_path): - shutil.rmtree(self.faulty_figs_path) + if os.path.isdir(cls.faulty_figs_path): + shutil.rmtree(cls.faulty_figs_path) - os.mkdir(self.faulty_figs_path) + os.mkdir(cls.faulty_figs_path) @classmethod - def tearDownClass(self): + def tearDownClass(cls): pass def setUp(self): @@ -218,24 +263,31 @@ def setUp(self): self.cosmo = Class() self.cosmo_newt = Class() - self.verbose = { - 'input_verbose': 1, - 'background_verbose': 1, - 'thermodynamics_verbose': 1, - 'perturbations_verbose': 1, - 'transfer_verbose': 1, - 'primordial_verbose': 1, - 'spectra_verbose': 1, - 'nonlinear_verbose': 1, - 'lensing_verbose': 1, - 'output_verbose': 1} + if CLASS_VERBOSE: + self.verbose = { + 'input_verbose': 1, + 'background_verbose': 1, + 'thermodynamics_verbose': 1, + 'perturbations_verbose': 1, + 'transfer_verbose': 1, + 'primordial_verbose': 1, + 'harmonic_verbose': 1, + 'fourier_verbose': 1, + 'lensing_verbose': 1, + 'distortions_verbose': 1, + 'output_verbose': 1, + } + else: + self.verbose = {} self.scenario = {} def tearDown(self): self.cosmo.struct_cleanup() self.cosmo.empty() + self.cosmo = 0 self.cosmo_newt.struct_cleanup() self.cosmo_newt.empty() + self.cosmo_newt = 0 del self.scenario def poormansname(self, somedict): @@ -247,101 +299,109 @@ def poormansname(self, somedict): string = string.replace(' ', '') return string - @parameterized.expand(TUPLE_ARRAY) - def test_0wrapper_implementation(self, inputdict): - """Create a few instances based on different cosmologies""" + @parameterized.expand(TUPLE_ARRAY, doc_func=custom_name_func, custom_name_func=custom_name_func) + @attr('dump_ini_files') + def test_Valgrind(self, inputdict): + """Dump files""" self.scenario.update(inputdict) - - self.name = self.poormansname(inputdict) - - sys.stderr.write('\n\n---------------------------------\n') - sys.stderr.write('| Test case %s |\n' % self.name) - sys.stderr.write('---------------------------------\n') - for key, value in list(self.scenario.items()): - sys.stderr.write("%s = %s\n" % (key, value)) - sys.stdout.write("%s = %s\n" % (key, value)) - sys.stderr.write("\n") - - setting = self.cosmo.set( - dict(list(self.verbose.items())+list(self.scenario.items()))) - self.assertTrue(setting, "Class failed to initialize with input dict") + self.name = self._testMethodName + if self.has_incompatible_input(): + return + path = os.path.join(self.faulty_figs_path, self.name) + self.store_ini_file(path) + self.scenario.update({'gauge':'Newtonian'}) + self.store_ini_file(path + 'N') + + @parameterized.expand(TUPLE_ARRAY, doc_func=custom_name_func, custom_name_func=custom_name_func) + @attr('test_scenario') + def test_scenario(self, inputdict): + """Test scenario""" + self.scenario.update(inputdict) + self.name = self._testMethodName + self.cosmo.set(dict(itertools.chain(self.verbose.items(), self.scenario.items()))) cl_dict = { 'tCl': ['tt'], 'lCl': ['pp'], - 'pCl': ['ee', 'bb']} - density_cl_list = ['nCl', 'sCl'] + 'pCl': ['ee', 'bb'], + 'nCl': ['dd'], + 'sCl': ['ll'], + } # 'lensing' is always set to yes. Therefore, trying to compute 'tCl' or - # 'pCl' will fail except if we also ask for 'lCl'. The flag - # 'should_fail' stores this status. - sys.stderr.write('Should') - should_fail = self.test_incompatible_input() - if should_fail: - sys.stderr.write(' fail...\n') - else: - sys.stderr.write(' not fail...\n') - - if not should_fail: - self.cosmo.compute() - else: + # 'pCl' will fail except if we also ask for 'lCl'. + if self.has_incompatible_input(): self.assertRaises(CosmoSevereError, self.cosmo.compute) return + else: + self.cosmo.compute() self.assertTrue( self.cosmo.state, "Class failed to go through all __init__ methods") - if self.cosmo.state: - print('--> Class is ready') # Depending - if 'output' in list(self.scenario.keys()): + if 'output' in self.scenario: # Positive tests of raw cls output = self.scenario['output'] for elem in output.split(): - if elem in list(cl_dict.keys()): + if elem in cl_dict: for cl_type in cl_dict[elem]: - sys.stderr.write( - '--> testing raw_cl for %s\n' % cl_type) - cl = self.cosmo.raw_cl(100) + is_density_cl = (elem == 'nCl' or elem == 'sCl') + if is_density_cl: + cl = self.cosmo.density_cl(100) + else: + cl = self.cosmo.raw_cl(100) self.assertIsNotNone(cl, "raw_cl returned nothing") - self.assertEqual( - np.shape(cl[cl_type])[0], 101, - "raw_cl returned wrong size") - # TODO do the same for lensed if 'lCl' is there, and for - # density cl + cl_length = np.shape(cl[cl_type][0])[0] if is_density_cl else np.shape(cl[cl_type])[0] + self.assertEqual(cl_length, 101, "raw_cl returned wrong size") if elem == 'mPk': - sys.stderr.write('--> testing pk function\n') pk = self.cosmo.pk(0.1, 0) self.assertIsNotNone(pk, "pk returned nothing") # Negative tests of output functions - if not any([elem in list(cl_dict.keys()) for elem in output.split()]): - sys.stderr.write('--> testing absence of any Cl\n') + if not any([elem in cl_dict for elem in output.split()]): + # testing absence of any Cl self.assertRaises(CosmoSevereError, self.cosmo.raw_cl, 100) if 'mPk' not in output.split(): - sys.stderr.write('--> testing absence of mPk\n') + # testing absence of mPk self.assertRaises(CosmoSevereError, self.cosmo.pk, 0.1, 0) - if COMPARE_OUTPUT: - # Now, compute with Newtonian gauge, and compare the results + if COMPARE_OUTPUT_REF or COMPARE_OUTPUT_GAUGE: + # Now compute same scenario in Newtonian gauge self.cosmo_newt.set( dict(list(self.verbose.items())+list(self.scenario.items()))) self.cosmo_newt.set({'gauge': 'newtonian'}) self.cosmo_newt.compute() - # Check that the computation worked + + if COMPARE_OUTPUT_GAUGE: + # Compare synchronous and Newtonian gauge self.assertTrue( self.cosmo_newt.state, "Class failed to go through all __init__ methods in Newtonian gauge") - self.compare_output(self.cosmo, self.cosmo_newt) + self.compare_output(self.cosmo, "Synchronous", self.cosmo_newt, 'Newtonian', COMPARE_CL_RELATIVE_ERROR_GAUGE, COMPARE_PK_RELATIVE_ERROR_GAUGE) + + if COMPARE_OUTPUT_REF: + # Compute reference models in both gauges and compare + cosmo_ref = classyref.Class() + cosmo_ref.set(self.cosmo.pars) + cosmo_ref.compute() + status = self.compare_output(cosmo_ref, "Reference", self.cosmo, 'Synchronous', COMPARE_CL_RELATIVE_ERROR, COMPARE_PK_RELATIVE_ERROR) + assert status, 'Reference comparison failed in Synchronous gauge!' - def test_incompatible_input(self): + cosmo_ref = classyref.Class() + cosmo_ref.set(self.cosmo_newt.pars) + cosmo_ref.compute() + self.compare_output(cosmo_ref, "Reference", self.cosmo_newt, 'Newtonian', COMPARE_CL_RELATIVE_ERROR, COMPARE_PK_RELATIVE_ERROR) + assert status, 'Reference comparison failed in Newtonian gauge!' + + def has_incompatible_input(self): should_fail = False # If we have tensor modes, we must have one tensor observable, # either tCl or pCl. if has_tensor(self.scenario): - if 'output' not in list(self.scenario.keys()): + if 'output' not in self.scenario: should_fail = True else: output = self.scenario['output'].split() @@ -350,8 +410,8 @@ def test_incompatible_input(self): # If we have specified lensing, we must have lCl in output, # otherwise lensing will not be read (which is an error). - if 'lensing' in list(self.scenario.keys()): - if 'output' not in list(self.scenario.keys()): + if 'lensing' in self.scenario: + if 'output' not in self.scenario: should_fail = True else: output = self.scenario['output'].split() @@ -361,33 +421,37 @@ def test_incompatible_input(self): should_fail = True # If we have specified a tensor method, we must have tensors. - if 'tensor method' in list(self.scenario.keys()): + if 'tensor method' in self.scenario: if not has_tensor(self.scenario): should_fail = True # If we have specified non linear, we must have some form of # perturbations output. - if 'non linear' in list(self.scenario.keys()): - if 'output' not in list(self.scenario.keys()): + if 'non linear' in self.scenario: + if 'output' not in self.scenario: should_fail = True - # If we ask for Cl's of lensing potential, we must have scalar modes. - if 'output' in list(self.scenario.keys()) and 'lCl' in self.scenario['output'].split(): - if 'modes' in list(self.scenario.keys()) and self.scenario['modes'].find('s') == -1: - should_fail = True + # If we ask for Cl's of lensing potential, number counts or cosmic shear, we must have scalar modes. + # The same applies to density and velocity transfer functions and the matter power spectrum: + if 'output' in self.scenario and 'modes' in self.scenario and self.scenario['modes'].find('s') == -1: + requested_output_types = set(self.scenario['output'].split()) + for scalar_output_type in ['lCl', 'nCl', 'dCl', 'sCl', 'mPk', 'dTk', 'mTk', 'vTk']: + if scalar_output_type in requested_output_types: + should_fail = True + break # If we specify initial conditions (for scalar modes), we must have # perturbations and scalar modes. - if 'ic' in list(self.scenario.keys()): - if 'modes' in list(self.scenario.keys()) and self.scenario['modes'].find('s') == -1: + if 'ic' in self.scenario: + if 'modes' in self.scenario and self.scenario['modes'].find('s') == -1: should_fail = True - if 'output' not in list(self.scenario.keys()): + if 'output' not in self.scenario: should_fail = True # If we use inflation module, we must have scalar modes, # tensor modes, no vector modes and we should only have adiabatic IC: - if 'P_k_ini type' in list(self.scenario.keys()) and self.scenario['P_k_ini type'].find('inflation') != -1: - if 'modes' not in list(self.scenario.keys()): + if 'P_k_ini type' in self.scenario and self.scenario['P_k_ini type'].find('inflation') != -1: + if 'modes' not in self.scenario: should_fail = True else: if self.scenario['modes'].find('s') == -1: @@ -396,18 +460,15 @@ def test_incompatible_input(self): should_fail = True if self.scenario['modes'].find('t') == -1: should_fail = True - if 'ic' in list(self.scenario.keys()) and self.scenario['ic'].find('i') != -1: + if 'ic' in self.scenario and self.scenario['ic'].find('i') != -1: should_fail = True return should_fail - def compare_output(self, reference, candidate): - sys.stderr.write('\n\n---------------------------------\n') - sys.stderr.write('| Comparing synch and Newt: |\n') - sys.stderr.write('---------------------------------\n') - - for elem in ['raw_cl', 'lensed_cl', 'density_cl']: + def compare_output(self, reference, reference_name, candidate, candidate_name, rtol_cl, rtol_pk): + status_pass = True + for elem in ['raw_cl', 'lensed_cl']: # Try to get the elem, but if they were not computed, a # CosmoComputeError should be raised. In this case, ignore the # whole block. @@ -418,35 +479,31 @@ def compare_output(self, reference, candidate): ref = getattr(reference, elem)() for key, value in list(ref.items()): if key != 'ell': - sys.stderr.write('--> testing equality of %s %s\n' % ( - elem, key)) # For all self spectra, try to compare allclose if key[0] == key[1]: # If it is a 'dd' or 'll', it is a dictionary. if isinstance(value, dict): - for subkey in list(value.keys()): + for subkey in value: try: np.testing.assert_allclose( - value[subkey], to_test[key][subkey], - rtol=1e-03, atol=1e-20) + value[subkey], + to_test[key][subkey], + rtol=rtol_cl, + atol=COMPARE_CL_ABSOLUTE_ERROR) except AssertionError: - self.cl_faulty_plot(elem+"_"+key, - value[subkey][2:], - to_test[key][subkey][2:]) + self.cl_faulty_plot(elem + "_" + key, value[subkey][2:], reference_name, to_test[key][subkey][2:], candidate_name, rtol_cl) except TypeError: - self.cl_faulty_plot(elem+"_"+key, - value[subkey][2:], - to_test[key][subkey][2:]) + self.cl_faulty_plot(elem + "_" + key, value[subkey][2:], reference_name, to_test[key][subkey][2:], candidate_name, rtol_cl) else: try: np.testing.assert_allclose( - value, to_test[key], rtol=1e-03, atol=1e-20) - except AssertionError: - self.cl_faulty_plot(elem+"_"+key, - value[2:], to_test[key][2:]) - except TypeError: - self.cl_faulty_plot(elem+"_"+key, - value[2:], to_test[key][2:]) + value, + to_test[key], + rtol=rtol_cl, + atol=COMPARE_CL_ABSOLUTE_ERROR) + except (AssertionError, TypeError) as e: + self.cl_faulty_plot(elem + "_" + key, value[2:], reference_name, to_test[key][2:], candidate_name, rtol_cl) + status_pass = False # For cross-spectra, as there can be zero-crossing, we # instead compare the difference. else: @@ -459,84 +516,90 @@ def compare_output(self, reference, candidate): np.testing.assert_array_almost_equal( value, to_test[key], decimal=3) except AssertionError: - self.cl_faulty_plot(elem+"_"+key, - value[2:], to_test[key][2:]) + self.cl_faulty_plot(elem + "_" + key, value[2:], reference_name, to_test[key][2:], candidate_name, rtol_cl) + status_pass = False - if 'output' in list(self.scenario.keys()): + if 'output' in self.scenario: if self.scenario['output'].find('mPk') != -1: - sys.stderr.write('--> testing equality of Pk') - k = np.logspace( - -2, log10(self.scenario['P_k_max_1/Mpc'])) - reference_pk = np.array( - [reference.pk(elem, 0) for elem in k]) - candidate_pk = np.array( - [candidate.pk(elem, 0) for elem in k]) + # testing equality of Pk + k = np.logspace(-2, log10(self.scenario['P_k_max_1/Mpc']), 50) + reference_pk = np.array([reference.pk(elem, 0) for elem in k]) + candidate_pk = np.array([candidate.pk(elem, 0) for elem in k]) try: np.testing.assert_allclose( - reference_pk, candidate_pk, rtol=5e-03, atol=1e-20) + reference_pk, + candidate_pk, + rtol=rtol_pk, + atol=COMPARE_PK_ABSOLUTE_ERROR) except AssertionError: - self.pk_faulty_plot(k, reference_pk, candidate_pk) + self.pk_faulty_plot(k, reference_pk, reference_name, candidate_pk, candidate_name, rtol_pk) + status_pass = False + + return status_pass + + def store_ini_file(self, path): + parameters = dict(list(self.verbose.items()) + list(self.scenario.items())) + with open(path + '.ini', 'w') as param_file: + param_file.write('# ' + str(parameters) + '\n') + if len(parameters) == 0: + # CLASS complains if the .ini file does not do anything. + param_file.write('write warnings = yes\n') + for key, value in list(parameters.items()): + param_file.write(key + " = " + str(value)+ '\n') - def cl_faulty_plot(self, cl_type, reference, candidate): + def cl_faulty_plot(self, cl_type, reference, reference_name, candidate, candidate_name, rtol): path = os.path.join(self.faulty_figs_path, self.name) + fig, axes = plt.subplots(2, 1, sharex=True) + ell = np.arange(max(np.shape(candidate))) + 2 + factor = ell*(ell + 1)/(2*np.pi) if cl_type[-2:] != 'pp' else ell**5 + axes[0].plot(ell, factor*reference, label=reference_name) + axes[0].plot(ell, factor*candidate, label=candidate_name) + axes[1].semilogy(ell, 100*abs(candidate/reference - 1), label=cl_type) + axes[1].axhline(y=100*rtol, color='k', ls='--') + + axes[-1].set_xlabel(r'$\ell$') + if cl_type[-2:] == 'pp': + axes[0].set_ylabel(r'$\ell^5 C_\ell^\mathrm{{{_cl_type}}}$'.format(_cl_type=cl_type[-2:].upper())) + else: + axes[0].set_ylabel(r'$\ell(\ell + 1)/(2\pi)C_\ell^\mathrm{{{_cl_type}}}$'.format(_cl_type=cl_type[-2:].upper())) + axes[1].set_ylabel('Relative error [%]') - fig = plt.figure() - ax_lin = plt.subplot(211) - ax_log = plt.subplot(212) - ell = np.arange(max(np.shape(candidate)))+2 - ax_lin.plot(ell, 1-candidate/reference) - ax_log.loglog(ell, abs(1-candidate/reference)) - - ax_lin.set_xlabel('l') - ax_log.set_xlabel('l') - ax_lin.set_ylabel('1-candidate/reference') - ax_log.set_ylabel('abs(1-candidate/reference)') - - ax_lin.set_title(self.name) - ax_log.set_title(self.name) - - ax_lin.legend([cl_type]) - ax_log.legend([cl_type]) + for ax in axes: + ax.legend(loc='upper right') - fig.savefig(path+'_'+cl_type+'.pdf') + fig.tight_layout() + fname = '{}_{}_{}_vs_{}.pdf'.format(path, cl_type, reference_name, candidate_name) + fig.savefig(fname, bbox_inches='tight') + plt.close(fig) # Store parameters (contained in self.scenario) to text file - parameters = dict(list(self.verbose.items())+list(self.scenario.items())) - with open(path+'.ini', 'w') as param_file: - for key, value in list(parameters.items()): - param_file.write(key+" = "+str(value)+'\n') + self.store_ini_file(path) - def pk_faulty_plot(self, k, reference, candidate): + def pk_faulty_plot(self, k, reference, reference_name, candidate, candidate_name, rtol): path = os.path.join(self.faulty_figs_path, self.name) - fig = plt.figure() - ax_lin = plt.subplot(211) - ax_log = plt.subplot(212) - ax_lin.plot(k, 1-candidate/reference) - ax_log.loglog(k, abs(1-candidate/reference)) + fig, axes = plt.subplots(2, 1, sharex=True) + axes[0].loglog(k, k**1.5*reference, label=reference_name) + axes[0].loglog(k, k**1.5*candidate, label=candidate_name) + axes[0].legend(loc='upper right') - ax_lin.set_xlabel('k') - ax_log.set_xlabel('k') - ax_lin.set_ylabel('1-candidate/reference') - ax_log.set_ylabel('abs(1-candidate/reference)') + axes[1].loglog(k, 100*np.abs(candidate/reference - 1)) + axes[1].axhline(y=100*rtol, color='k', ls='--') - ax_lin.set_title(self.name) - ax_log.set_title(self.name) + axes[-1].set_xlabel(r'$k\quad [\mathrm{Mpc}^{-1}]$') + axes[0].set_ylabel(r'$k^\frac{3}{2}P(k)$') + axes[1].set_ylabel(r'Relative error [%]') - ax_lin.legend('$P_k$') - ax_log.legend('$P_k$') - - fig.savefig(path+'_'+'pk'+'.pdf') + fig.tight_layout() + fname = path + '_pk_{}_vs_{}.pdf'.format(reference_name, candidate_name) + fig.savefig(fname, bbox_inches='tight') + plt.close(fig) # Store parameters (contained in self.scenario) to text file - parameters = dict(list(self.verbose.items())+list(self.scenario.items())) - with open(path+'.ini', 'w') as param_file: - for key, value in list(parameters.items()): - param_file.write(key+" = "+str(value)+'\n') - + self.store_ini_file(path) def has_tensor(input_dict): - if 'modes' in list(input_dict.keys()): + if 'modes' in input_dict: if input_dict['modes'].find('t') != -1: return True else: diff --git a/scripts/Growth_with_w.py b/scripts/Growth_with_w.py new file mode 100644 index 00000000..471b3c61 --- /dev/null +++ b/scripts/Growth_with_w.py @@ -0,0 +1,305 @@ +#!/usr/bin/env python +# coding: utf-8 + +# In[ ]: + + +#get_ipython().run_line_magic('matplotlib', 'inline') +import matplotlib +import matplotlib.pyplot as plt +import numpy as np +from classy import Class +from scipy import interpolate + + +# In[ ]: + + +w0vec = [-0.7, -1.0, -1.3] +wavec = [-0.2,0.0,0.2] +#w0vec = [-1.0] +#wavec = [0.0] + +cosmo = {} +for w0 in w0vec: + for wa in wavec: + if w0==-1.0 and wa==0.0: + M='LCDM' + else: + M = '('+str(w0)+','+str(wa)+')' + cosmo[M] = Class() + cosmo[M].set({'input_verbose':1,'background_verbose':1,'gauge' : 'Newtonian'}) + if M!='LCDM': + cosmo[M].set({'Omega_Lambda':0.,'w0_fld':w0,'wa_fld':wa}) + cosmo[M].compute() + + +# In[ ]: + + +import scipy +import scipy.special +import scipy.integrate + +def D_hypergeom(avec,csm): + bg = csm.get_background() + Om = csm.Omega0_m() + if '(.)rho_lambda' in bg: + Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1] + else: + Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1] + + x = Ol/Om*avec**3 + D = avec*scipy.special.hyp2f1(1./3.,1,11./6.,-x) + D_today = scipy.special.hyp2f1(1./3.,1,11./6.,-Ol/Om) + return D/D_today + +def f_hypergeom(avec,csm): + bg = csm.get_background() + Om = csm.Omega0_m() + if '(.)rho_lambda' in bg: + Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1] + else: + Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1] + + x = Ol/Om*avec**3 + D = avec*scipy.special.hyp2f1(1./3.,1,11./6.,-x) + f = 1.-6./11.*x*avec/D*scipy.special.hyp2f1(4./3.,2,17./6.,-x) + return f + +def D_integral2(avec,csm): + bg = csm.get_background() + Om = csm.Omega0_m() + if '(.)rho_lambda' in bg: + Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1] + w0 = -1 + wa = 0.0 + else: + Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1] + w0 = csm.pars['w0_fld'] + wa = csm.pars['wa_fld'] + D = np.zeros(avec.shape) + for idx, a in enumerate(avec): + Hc = a*np.sqrt(Om/a**3 + Ol*a**(-3*(1+w0+wa))*np.exp(-3.*(1.0-a)*wa) ) + Dintegrand2 = lambda a: (a*np.sqrt(Om/a**3 + Ol*a**(-3*(1+w0+wa))*np.exp(-3.*(1.0-a)*wa) ))**(-3) + I = scipy.integrate.quad(Dintegrand2, 1e-15,a) + D[idx] = Hc/a*I[0] + D = D/scipy.integrate.quad(Dintegrand2,1e-15,1)[0] + return D + +def D_integral(avec,csm): + bg = csm.get_background() + Om = csm.Omega0_m() + Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1] + Or = 1-Om-Ol + def Dintegrand(a): + Hc = np.sqrt(Om/a+Ol*a*a+Or/a/a) + #print a,Hc + return Hc**(-3) + D = np.zeros(avec.shape) + for idx, a in enumerate(avec): + #if a<1e-4: + # continue + Hc = np.sqrt(Om/a+Ol*a*a+Or/a/a) + I = scipy.integrate.quad(Dintegrand,1e-15,a,args=()) + D[idx] = Hc/a*I[0] + D = D/scipy.integrate.quad(Dintegrand,1e-15,1,args=())[0] + return D + +def D_linder(avec,csm): + bg = csm.get_background() + if '(.)rho_lambda' in bg: + Ol = bg['(.)rho_lambda'][-1]/bg['(.)rho_crit'][-1] + w0 = -1 + wa = 0.0 + else: + Ol = bg['(.)rho_fld'][-1]/bg['(.)rho_crit'][-1] + w0 = csm.pars['w0_fld'] + wa = csm.pars['wa_fld'] + + Om_of_a = (bg['(.)rho_cdm']+bg['(.)rho_b'])/bg['H [1/Mpc]']**2 + gamma = 0.55+0.05*(w0+0.5*wa) + a_bg = 1./(1.+bg['z']) + + integ = (Om_of_a**gamma-1.)/a_bg + + integ_interp = interpolate.interp1d(a_bg,integ) + D = np.zeros(avec.shape) + amin = min(a_bg) + amin = 1e-3 + for idx, a in enumerate(avec): + if atau_table[0], + /** - check that log(a) = log(1/(1+z)) = -log(1+z) is in the pre-computed range */ + loga = -log(1+z); + + class_test(loga < pba->loga_table[0], pba->error_message, - "out of range: tau=%e < tau_min=%e, you should decrease the precision parameter a_ini_over_a_today_default\n",tau,pba->tau_table[0]); + "out of range: a/a_0 = %e < a_min/a_0 = %e, you should decrease the precision parameter a_ini_over_a_today_default\n",1./(1.+z),exp(pba->loga_table[0])); - class_test(tau > pba->tau_table[pba->bt_size-1], + class_test(loga > pba->loga_table[pba->bt_size-1], pba->error_message, - "out of range: tau=%e > tau_max=%e\n",tau,pba->tau_table[pba->bt_size-1]); + "out of range: a/a_0 = %e > a_max/a_0 = %e\n",1./(1.+z),exp(pba->loga_table[pba->bt_size-1])); /** - deduce length of returned vector from format mode */ - if (return_format == pba->normal_info) { + if (return_format == normal_info) { pvecback_size=pba->bg_size_normal; } else { - if (return_format == pba->short_info) { + if (return_format == short_info) { pvecback_size=pba->bg_size_short; } else { @@ -135,18 +174,19 @@ int background_at_tau( } } + /** - interpolate from pre-computed table with array_interpolate() or array_interpolate_growing_closeby() (depending on interpolation mode) */ - if (intermode == pba->inter_normal) { + if (inter_mode == inter_normal) { class_call(array_interpolate_spline( - pba->tau_table, + pba->loga_table, pba->bt_size, pba->background_table, - pba->d2background_dtau2_table, + pba->d2background_dloga2_table, pba->bg_size, - tau, + loga, last_index, pvecback, pvecback_size, @@ -154,14 +194,14 @@ int background_at_tau( pba->error_message, pba->error_message); } - if (intermode == pba->inter_closeby) { + if (inter_mode == inter_closeby) { class_call(array_interpolate_spline_growing_closeby( - pba->tau_table, + pba->loga_table, pba->bt_size, pba->background_table, - pba->d2background_dtau2_table, + pba->d2background_dloga2_table, pba->bg_size, - tau, + loga, last_index, pvecback, pvecback_size, @@ -173,6 +213,48 @@ int background_at_tau( return _SUCCESS_; } +/** + * Background quantities at given conformal time tau. + * + * Evaluates all background quantities at a given value of + * conformal time by reading the pre-computed table and interpolating. + * + * @param pba Input: pointer to background structure (containing pre-computed table) + * @param tau Input: value of conformal time + * @param return_format Input: format of output vector (short_info, normal_info, long_info) + * @param inter_mode Input: interpolation mode (normal or closeby) + * @param last_index Input/Output: index of the previous/current point in the interpolation array (input only for closeby mode, output for both) + * @param pvecback Output: vector (assumed to be already allocated) + * @return the error status + */ + +int background_at_tau( + struct background *pba, + double tau, + enum vecback_format return_format, + enum interpolation_method inter_mode, + int * last_index, + double * pvecback /* vector with argument pvecback[index_bg] (must be already allocated with a size compatible with return_format) */ + ) { + + /** Summary: */ + + /** - define local variables */ + double z; + + /** - Get current redshift */ + class_call(background_z_of_tau(pba,tau,&z), + pba->error_message, + pba->error_message); + + /** - Get background at corresponding redshift */ + class_call(background_at_z(pba,z,return_format,inter_mode,last_index,pvecback), + pba->error_message, + pba->error_message); + + return _SUCCESS_; +} + /** * Conformal time at given redshift. * @@ -204,7 +286,7 @@ int background_tau_of_z( class_test(z > pba->z_table[0], pba->error_message, - "out of range: a=%e > a_max=%e\n",z,pba->z_table[0]); + "out of range: z=%e > z_max=%e\n",z,pba->z_table[0]); /** - interpolate from pre-computed table with array_interpolate() */ class_call(array_interpolate_spline( @@ -223,28 +305,75 @@ int background_tau_of_z( return _SUCCESS_; } - /** - * Background quantities at given \f$ a \f$. + * Redshift at given conformal time. * + * Returns z(tau) by interpolation from pre-computed table. + * + * @param pba Input: pointer to background structure + * @param tau Input: conformal time + * @param z Output: redshift + * @return the error status + */ + +int background_z_of_tau( + struct background *pba, + double tau, + double * z + ) { + + /** Summary: */ + + /** - define local variables */ + + /* necessary for calling array_interpolate(), but never used */ + int last_index; + + /** - check that \f$ tau \f$ is in the pre-computed range */ + class_test(tau < pba->tau_table[0], + pba->error_message, + "out of range: tau=%e < tau_min=%e\n",tau,pba->tau_table[0]); + + class_test(tau > pba->tau_table[pba->bt_size-1], + pba->error_message, + "out of range: tau=%e > tau_max=%e\n",tau,pba->tau_table[pba->bt_size-1]); + + /** - interpolate from pre-computed table with array_interpolate() */ + class_call(array_interpolate_spline( + pba->tau_table, + pba->bt_size, + pba->z_table, + pba->d2z_dtau2_table, + 1, + tau, + &last_index, + z, + 1, + pba->error_message), + pba->error_message, + pba->error_message); + + return _SUCCESS_; +} + +/** * Function evaluating all background quantities which can be computed - * analytically as a function of {B} parameters such as the scale factor 'a' - * (see discussion at the beginning of this file). In extended - * cosmological models, the pvecback_B vector contains other input parameters than - * just 'a', e.g. (phi, phidot) for quintessence, some temperature of - * exotic relics, etc... + * analytically as a function of a and of {B} quantities (see + * discussion at the beginning of this file). * * @param pba Input: pointer to background structure - * @param pvecback_B Input: vector containing all {B} type quantities (scale factor, ...) + * @param a Input: scale factor (in fact, with our normalisation conventions, this is (a/a_0) ) + * @param pvecback_B Input: vector containing all {B} quantities * @param return_format Input: format of output vector * @param pvecback Output: vector of background quantities (assumed to be already allocated) * @return the error status */ int background_functions( - struct background *pba, - double * pvecback_B, /* Vector containing all {B} quantities. */ - short return_format, + struct background * pba, + double a, + double * pvecback_B, /* vector with argument pvecback[index_bi] */ + enum vecback_format return_format, double * pvecback /* vector with argument pvecback[index_bg] (must be already allocated with a size compatible with return_format) */ ) { @@ -254,6 +383,8 @@ int background_functions( /* total density */ double rho_tot; + /* critical density */ + double rho_crit; /* total pressure */ double p_tot; /* total relativistic density */ @@ -262,31 +393,32 @@ int background_functions( double rho_m; /* total dark energy density */ double rho_de; - /* scale factor relative to scale factor today */ - double a_rel; /* background ncdm quantities */ double rho_ncdm,p_ncdm,pseudo_p_ncdm; /* index for n_ncdm species */ int n_ncdm; /* fluid's time-dependent equation of state parameter */ double w_fld, dw_over_da, integral_fld; - /* scale factor */ - double a; /* scalar field quantities */ double phi, phi_prime; + /* Since we only know a_prime_over_a after we have rho_tot, + it is not possible to simply sum up p_tot_prime directly. + Instead we sum up dp_dloga = p_prime/a_prime_over_a. The formula is + p_prime = a_prime_over_a * dp_dloga = a_prime_over_a * Sum [ (w_prime/a_prime_over_a -3(1+w)w)rho]. + Note: The scalar field contribution must be added in the end, as an exception!*/ + double dp_dloga; /** - initialize local variables */ - a = pvecback_B[pba->index_bi_a]; rho_tot = 0.; p_tot = 0.; + dp_dloga = 0.; rho_r=0.; rho_m=0.; rho_de = 0.; - a_rel = a / pba->a_today; - class_test(a_rel <= 0., + class_test(a <= 0., pba->error_message, - "a = %e instead of strictly positive",a_rel); + "a = %e instead of strictly positive",a); /** - pass value of \f$ a\f$ to output */ pvecback[pba->index_bg_a] = a; @@ -294,25 +426,34 @@ int background_functions( /** - compute each component's density and pressure */ /* photons */ - pvecback[pba->index_bg_rho_g] = pba->Omega0_g * pow(pba->H0,2) / pow(a_rel,4); + pvecback[pba->index_bg_rho_g] = pba->Omega0_g * pow(pba->H0,2) / pow(a,4); rho_tot += pvecback[pba->index_bg_rho_g]; p_tot += (1./3.) * pvecback[pba->index_bg_rho_g]; + dp_dloga += -(4./3.) * pvecback[pba->index_bg_rho_g]; rho_r += pvecback[pba->index_bg_rho_g]; /* baryons */ - pvecback[pba->index_bg_rho_b] = pba->Omega0_b * pow(pba->H0,2) / pow(a_rel,3); + pvecback[pba->index_bg_rho_b] = pba->Omega0_b * pow(pba->H0,2) / pow(a,3); rho_tot += pvecback[pba->index_bg_rho_b]; p_tot += 0; rho_m += pvecback[pba->index_bg_rho_b]; /* cdm */ if (pba->has_cdm == _TRUE_) { - pvecback[pba->index_bg_rho_cdm] = pba->Omega0_cdm * pow(pba->H0,2) / pow(a_rel,3); + pvecback[pba->index_bg_rho_cdm] = pba->Omega0_cdm * pow(pba->H0,2) / pow(a,3); rho_tot += pvecback[pba->index_bg_rho_cdm]; p_tot += 0.; rho_m += pvecback[pba->index_bg_rho_cdm]; } + /* idm */ + if (pba->has_idm == _TRUE_) { + pvecback[pba->index_bg_rho_idm] = pba->Omega0_idm * pow(pba->H0,2) / pow(a,3); + rho_tot += pvecback[pba->index_bg_rho_idm]; + p_tot += 0.; + rho_m += pvecback[pba->index_bg_rho_idm]; + } + /* dcdm */ if (pba->has_dcdm == _TRUE_) { /* Pass value of rho_dcdm to output */ @@ -328,14 +469,35 @@ int background_functions( pvecback[pba->index_bg_rho_dr] = pvecback_B[pba->index_bi_rho_dr]; rho_tot += pvecback[pba->index_bg_rho_dr]; p_tot += (1./3.)*pvecback[pba->index_bg_rho_dr]; + dp_dloga += -(4./3.) * pvecback[pba->index_bg_rho_dr]; rho_r += pvecback[pba->index_bg_rho_dr]; } + /* Scalar field */ + if (pba->has_scf == _TRUE_) { + phi = pvecback_B[pba->index_bi_phi_scf]; + phi_prime = pvecback_B[pba->index_bi_phi_prime_scf]; + pvecback[pba->index_bg_phi_scf] = phi; // value of the scalar field phi + pvecback[pba->index_bg_phi_prime_scf] = phi_prime; // value of the scalar field phi derivative wrt conformal time + pvecback[pba->index_bg_V_scf] = V_scf(pba,phi); //V_scf(pba,phi); //write here potential as function of phi + pvecback[pba->index_bg_dV_scf] = dV_scf(pba,phi); // dV_scf(pba,phi); //potential' as function of phi + pvecback[pba->index_bg_ddV_scf] = ddV_scf(pba,phi); // ddV_scf(pba,phi); //potential'' as function of phi + pvecback[pba->index_bg_rho_scf] = (phi_prime*phi_prime/(2*a*a) + V_scf(pba,phi))/3.; // energy of the scalar field. The field units are set automatically by setting the initial conditions + pvecback[pba->index_bg_p_scf] =(phi_prime*phi_prime/(2*a*a) - V_scf(pba,phi))/3.; // pressure of the scalar field + rho_tot += pvecback[pba->index_bg_rho_scf]; + p_tot += pvecback[pba->index_bg_p_scf]; + dp_dloga += 0.0; /** <-- This depends on a_prime_over_a, so we cannot add it now! */ + //divide relativistic & nonrelativistic (not very meaningful for oscillatory models) + rho_r += 3.*pvecback[pba->index_bg_p_scf]; //field pressure contributes radiation + rho_m += pvecback[pba->index_bg_rho_scf] - 3.* pvecback[pba->index_bg_p_scf]; //the rest contributes matter + //printf(" a= %e, Omega_scf = %f, \n ",a, pvecback[pba->index_bg_rho_scf]/rho_tot ); + } + /* ncdm */ if (pba->has_ncdm == _TRUE_) { /* Loop over species: */ - for(n_ncdm=0; n_ncdmN_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdmN_ncdm; n_ncdm++) { /* function returning background ncdm[n_ncdm] quantities (only those for which non-NULL pointers are passed) */ @@ -345,7 +507,7 @@ int background_functions( pba->q_size_ncdm_bg[n_ncdm], pba->M_ncdm[n_ncdm], pba->factor_ncdm[n_ncdm], - 1./a_rel-1., + 1./a-1., NULL, &rho_ncdm, &p_ncdm, @@ -359,6 +521,8 @@ int background_functions( pvecback[pba->index_bg_p_ncdm1+n_ncdm] = p_ncdm; p_tot += p_ncdm; pvecback[pba->index_bg_pseudo_p_ncdm1+n_ncdm] = pseudo_p_ncdm; + /** See e.g. Eq. A6 in 1811.00904. */ + dp_dloga += (pseudo_p_ncdm - 5*p_ncdm); /* (3 p_ncdm1) is the "relativistic" contribution to rho_ncdm1 */ rho_r += 3.* p_ncdm; @@ -388,103 +552,119 @@ int background_functions( pvecback[pba->index_bg_w_fld] = w_fld; // Obsolete: at the beginning, we had here the analytic integral solution corresponding to the case w=w0+w1(1-a/a0): - // pvecback[pba->index_bg_rho_fld] = pba->Omega0_fld * pow(pba->H0,2) / pow(a_rel,3.*(1.+pba->w0_fld+pba->wa_fld)) * exp(3.*pba->wa_fld*(a_rel-1.)); + // pvecback[pba->index_bg_rho_fld] = pba->Omega0_fld * pow(pba->H0,2) / pow(a,3.*(1.+pba->w0_fld+pba->wa_fld)) * exp(3.*pba->wa_fld*(a-1.)); // But now everthing is integrated numerically for a given w_fld(a) defined in the function background_w_fld. rho_tot += pvecback[pba->index_bg_rho_fld]; p_tot += w_fld * pvecback[pba->index_bg_rho_fld]; - rho_de += pvecback[pba->index_bg_rho_lambda]; - } - - /* Quintessence */ - if (pba->has_scf == _TRUE_) { - phi = pvecback_B[pba->index_bi_phi_scf]; - phi_prime = pvecback_B[pba->index_bi_phi_prime_scf]; - pvecback[pba->index_bg_phi_scf] = phi; // value of the scalar field phi - pvecback[pba->index_bg_phi_prime_scf] = phi_prime; // value of the scalar field phi derivative wrt conformal time - pvecback[pba->index_bg_V_scf] = V_scf(pba,phi); //V_scf(pba,phi); //write here potential as function of phi - pvecback[pba->index_bg_dV_scf] = dV_scf(pba,phi); // dV_scf(pba,phi); //potential' as function of phi - pvecback[pba->index_bg_ddV_scf] = ddV_scf(pba,phi); // ddV_scf(pba,phi); //potential'' as function of phi - pvecback[pba->index_bg_rho_scf] = (phi_prime*phi_prime/(2*a*a) + V_scf(pba,phi))/3.; // energy of the scalar field. The field units are set automatically by setting the initial conditions - pvecback[pba->index_bg_p_scf] =(phi_prime*phi_prime/(2*a*a) - V_scf(pba,phi))/3.; // pressure of the scalar field - rho_tot += pvecback[pba->index_bg_rho_scf]; - p_tot += pvecback[pba->index_bg_p_scf]; - //no contribution to radiation - rho_de += pvecback[pba->index_bg_rho_scf]; - //printf(" a= %e, Omega_scf = %f, \n ",a_rel, pvecback[pba->index_bg_rho_scf]/rho_tot ); + dp_dloga += (a*dw_over_da-3*(1+w_fld)*w_fld)*pvecback[pba->index_bg_rho_fld]; } /* relativistic neutrinos (and all relativistic relics) */ if (pba->has_ur == _TRUE_) { - pvecback[pba->index_bg_rho_ur] = pba->Omega0_ur * pow(pba->H0,2) / pow(a_rel,4); + pvecback[pba->index_bg_rho_ur] = pba->Omega0_ur * pow(pba->H0,2) / pow(a,4); rho_tot += pvecback[pba->index_bg_rho_ur]; p_tot += (1./3.) * pvecback[pba->index_bg_rho_ur]; + dp_dloga += -(4./3.) * pvecback[pba->index_bg_rho_ur]; rho_r += pvecback[pba->index_bg_rho_ur]; } + /* interacting dark radiation */ + if (pba->has_idr == _TRUE_) { + pvecback[pba->index_bg_rho_idr] = pba->Omega0_idr * pow(pba->H0,2) / pow(a,4); + rho_tot += pvecback[pba->index_bg_rho_idr]; + p_tot += (1./3.) * pvecback[pba->index_bg_rho_idr]; + rho_r += pvecback[pba->index_bg_rho_idr]; + } + /** - compute expansion rate H from Friedmann equation: this is the only place where the Friedmann equation is assumed. Remember that densities are all expressed in units of \f$ [3c^2/8\pi G] \f$, ie \f$ \rho_{class} = [8 \pi G \rho_{physical} / 3 c^2]\f$ - NOTE: different computation if scalar field is present */ - if (pba->has_smg == _FALSE_){ - + NOTE: different computation if scalar field (_smg) is present */ + if (pba->has_smg == _TRUE_) { + class_call(background_gravity_functions_smg(pba, + a, + pvecback_B, + pvecback, + &rho_tot, + &p_tot, + &rho_de), + pba->error_message, + pba->error_message); + } + else { + // not only _smg!! if (pba->hubble_evolution == _TRUE_) - pvecback[pba->index_bg_H] = pvecback_B[pba->index_bi_H]; //sqrt(rho_tot-pba->K/a/a); + pvecback[pba->index_bg_H] = exp(pvecback_B[pba->index_bi_logH]); //sqrt(rho_tot-pba->K/a/a); else pvecback[pba->index_bg_H] = sqrt(rho_tot - pba->K/a/a); /** - compute derivative of H with respect to conformal time: friction added */ - pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a - a* pba->hubble_friction*(pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H] - (rho_tot-pba->K/a/a) ); + pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a; + // not only _smg!! + if (pba->hubble_evolution == _TRUE_) + pvecback[pba->index_bg_H_prime] += - a* pba->hubble_friction*(pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H] - (rho_tot-pba->K/a/a) ); } - /* Scalar field */ - /** if (has_smg) do all the mess to compute the Hubble rate, etc... */ - else{ - -// /** - save rho_tot and p_tot without smg (it is important that smg is the last thing to be computed) */ - pvecback[pba->index_bg_rho_tot_wo_smg] = rho_tot; - pvecback[pba->index_bg_p_tot_wo_smg] = p_tot; - //NOTE: add the field energy and pressure after the debug has been added - class_call(background_gravity_functions(pba, - pvecback_B, - return_format, - pvecback), - pba->error_message, - pba->error_message); - - rho_tot += pvecback[pba->index_bg_rho_smg]; - p_tot += pvecback[pba->index_bg_p_smg]; - //divide relativistic & nonrelativistic (not very meaningful for oscillatory models) + /* Total energy density*/ + pvecback[pba->index_bg_rho_tot] = rho_tot; - //TODO: need to define menaingfully -> separate early universe (IC, BBN...) from late (Halofit...) - //BUG: causes problem with halofit!, if not, causes bug with Brans-Dicke - rho_de += pvecback[pba->index_bg_rho_smg]; + /* Total pressure */ + pvecback[pba->index_bg_p_tot] = p_tot; - /** - compute w_smg */ - if (pba->rho_evolution_smg == _FALSE_) { - pvecback[pba->index_bg_w_smg] = pvecback[pba->index_bg_p_smg] / pvecback[pba->index_bg_rho_smg]; - } + /* Derivative of total pressure w.r.t. conformal time */ + pvecback[pba->index_bg_p_tot_prime] = a*pvecback[pba->index_bg_H]*dp_dloga; + if (pba->has_scf == _TRUE_) { + /** The contribution of scf was not added to dp_dloga, add p_scf_prime here: */ + pvecback[pba->index_bg_p_prime_scf] = pvecback[pba->index_bg_phi_prime_scf]* + (-pvecback[pba->index_bg_phi_prime_scf]*pvecback[pba->index_bg_H]/a-2./3.*pvecback[pba->index_bg_dV_scf]); + pvecback[pba->index_bg_p_tot_prime] += pvecback[pba->index_bg_p_prime_scf]; + } -} + /** - compute critical density */ + rho_crit = rho_tot-pba->K/a/a; + class_test((rho_crit <= 0.) && (pba->initial_conditions_set_smg == _TRUE_), + pba->error_message, + "rho_crit = %e instead of strictly positive",rho_crit); /** - compute relativistic density to total density ratio */ - pvecback[pba->index_bg_Omega_r] = rho_r / rho_tot; + pvecback[pba->index_bg_Omega_r] = rho_r / rho_crit; - /** - compute dark energy density to total density ratio */ + /** - compute dark energy density to total density ratio (_smg) */ pvecback[pba->index_bg_Omega_de] = rho_de / rho_tot; /** - compute other quantities in the exhaustive, redundant format */ - if (return_format == pba->long_info) { + if (return_format == long_info) { - /** - compute critical density */ - pvecback[pba->index_bg_rho_crit] = rho_tot-pba->K/a/a; - class_test(pvecback[pba->index_bg_rho_crit] <= 0. && (pba->has_smg == _FALSE_), - pba->error_message, - "rho_crit = %e instead of strictly positive",pvecback[pba->index_bg_rho_crit]); + /** - store critical density */ + pvecback[pba->index_bg_rho_crit] = rho_crit; /** - compute Omega_m */ - pvecback[pba->index_bg_Omega_m] = rho_m / rho_tot; + pvecback[pba->index_bg_Omega_m] = rho_m / rho_crit; + + /** - cosmological time */ + pvecback[pba->index_bg_time] = pvecback_B[pba->index_bi_time]; + + /** - comoving sound horizon */ + pvecback[pba->index_bg_rs] = pvecback_B[pba->index_bi_rs]; + + /** - growth factor */ + pvecback[pba->index_bg_D] = pvecback_B[pba->index_bi_D]; + + /** - velocity growth factor */ + pvecback[pba->index_bg_f] = pvecback_B[pba->index_bi_D_prime]/( pvecback_B[pba->index_bi_D]*a*pvecback[pba->index_bg_H]); + + /**- Varying fundamental constants */ + if (pba->has_varconst == _TRUE_) { + class_call(background_varconst_of_z(pba, + 1./a-1., + &(pvecback[pba->index_bg_varc_alpha]), + &(pvecback[pba->index_bg_varc_me]) + ), + pba->error_message, + pba->error_message); + } /* one can put other variables here */ /* */ @@ -503,7 +683,7 @@ int background_functions( * be simple. * * @param pba Input: pointer to background structure - * @param a Input: current value of scale factor + * @param a Input: current value of scale factor (in fact, with our conventions, of (a/a_0)) * @param w_fld Output: equation of state parameter w_fld(a) * @param dw_over_da_fld Output: function dw_fld/da * @param integral_fld Output: function \f$ \int_{a}^{a_0} da 3(1+w_{fld})/a \f$ @@ -515,7 +695,8 @@ int background_w_fld( double a, double * w_fld, double * dw_over_da_fld, - double * integral_fld) { + double * integral_fld + ) { double Omega_ede = 0.; double dOmega_ede_over_da = 0.; @@ -525,7 +706,7 @@ int background_w_fld( /** - first, define the function w(a) */ switch (pba->fluid_equation_of_state) { case CLP: - *w_fld = pba->w0_fld + pba->wa_fld * (1. - a / pba->a_today); + *w_fld = pba->w0_fld + pba->wa_fld * (1. - a); break; case EDE: // Omega_ede(a) taken from eq. (10) in 1706.00730 @@ -539,13 +720,13 @@ int background_w_fld( + pba->Omega_EDE*3.*pba->w0_fld*pow(a,-3.*pba->w0_fld-1.); // find a_equality (needed because EDE tracks first radiation, then matter) - Omega_r = pba->Omega0_g * (1. + 3.046 * 7./8.*pow(4./11.,4./3.)); // assumes LambdaCDM + eventually massive neutrinos so light that they are relativistic at equality; needs to be generalised later on. + Omega_r = pba->Omega0_g * (1. + 3.044 * 7./8.*pow(4./11.,4./3.)); // assumes LambdaCDM + eventually massive neutrinos so light that they are relativistic at equality; needs to be generalised later on. Omega_m = pba->Omega0_b; if (pba->has_cdm == _TRUE_) Omega_m += pba->Omega0_cdm; + if (pba->has_idm == _TRUE_) Omega_m += pba->Omega0_idm; if (pba->has_dcdm == _TRUE_) - class_stop(pba->error_message,"Early Dark Energy not compatible with decaying Dark Matter because we omitted to code the calculation of a_eq in that case, but it would not be difficult to add it if necessary, should be a matter of 5 minutes"); + class_stop(pba->error_message,"Early Dark Energy not compatible with decaying Dark Matter because we omitted to code the calculation of a_eq in that case, but it would not be difficult to add it if necessary, should be a matter of 5 minutes"); a_eq = Omega_r/Omega_m; // assumes a flat universe with a=1 today - class_stop(pba->error_message,"a_eq = %e, z_eq =%e\n",a_eq,1./a_eq-1.); // w_ede(a) taken from eq. (11) in 1706.00730 *w_fld = - dOmega_ede_over_da*a/Omega_ede/3./(1.-Omega_ede)+a_eq/3./(a+a_eq); @@ -554,13 +735,13 @@ int background_w_fld( /** - then, give the corresponding analytic derivative dw/da (used - by perturbation equations; we could compute it numerically, - but with a loss of precision; as long as there is a simple - analytic expression of the derivative of the previous - function, let's use it! */ + by perturbation equations; we could compute it numerically, + but with a loss of precision; as long as there is a simple + analytic expression of the derivative of the previous + function, let's use it! */ switch (pba->fluid_equation_of_state) { case CLP: - *dw_over_da_fld = - pba->wa_fld / pba->a_today; + *dw_over_da_fld = - pba->wa_fld; break; case EDE: d2Omega_ede_over_da2 = 0.; @@ -572,16 +753,23 @@ int background_w_fld( } /** - finally, give the analytic solution of the following integral: - \f$ \int_{a}^{a0} da 3(1+w_{fld})/a \f$. This is used in only - one place, in the initial conditions for the background, and - with a=a_ini. If your w(a) does not lead to a simple analytic - solution of this integral, no worry: instead of writing - something here, the best would then be to leave it equal to - zero, and then in background_initial_conditions() you should - implement a numerical calculation of this integral only for - a=a_ini, using for instance Romberg integration. It should be - fast, simple, and accurate enough. */ - *integral_fld = 3.*((1.+pba->w0_fld+pba->wa_fld)*log(pba->a_today/a) + pba->wa_fld*(a/pba->a_today-1.)); + \f$ \int_{a}^{a0} da 3(1+w_{fld})/a \f$. This is used in only + one place, in the initial conditions for the background, and + with a=a_ini. If your w(a) does not lead to a simple analytic + solution of this integral, no worry: instead of writing + something here, the best would then be to leave it equal to + zero, and then in background_initial_conditions() you should + implement a numerical calculation of this integral only for + a=a_ini, using for instance Romberg integration. It should be + fast, simple, and accurate enough. */ + switch (pba->fluid_equation_of_state) { + case CLP: + *integral_fld = 3.*((1.+pba->w0_fld+pba->wa_fld)*log(1./a) + pba->wa_fld*(a-1.)); + break; + case EDE: + class_stop(pba->error_message,"EDE implementation not finished: to finish it, read the comments in background.c just before this line\n"); + break; + } /** note: of course you can generalise these formulas to anything, defining new parameters pba->w..._fld. Just remember that so @@ -591,6 +779,49 @@ int background_w_fld( return _SUCCESS_; } +/** + * Single place where the variation of fundamental constants is + * defined. Parameters of the function are passed through the + * background structure. Generalisation to arbitrary functions should + * be simple. + * + * @param pba Input: pointer to background structure + * @param z Input: current value of redhsift + * @param alpha Output: fine structure constant relative to its current value + * @param me Output: effective electron mass relative to its current value + * @return the error status + */ + +int background_varconst_of_z( + struct background* pba, + double z, + double* alpha, + double* me + ){ + + switch(pba->varconst_dep){ + + case varconst_none: + *alpha = 1.; + *me = 1.; + break; + + case varconst_instant: + if (z>pba->varconst_transition_redshift){ + *alpha = pba->varconst_alpha; + *me = pba->varconst_me; + } + else{ + *alpha = 1.; + *me = 1.; + } + break; + + /* Implement here your arbitrary model of varying fundamental constants! */ + } + return _SUCCESS_; +} + /** * Initialize the background structure, and in particular the * background interpolation table. @@ -607,146 +838,41 @@ int background_init( /** Summary: */ - /** - define local variables */ - int n_ncdm; - double rho_ncdm_rel,rho_nu_rel; - double Neff; - double w_fld, dw_over_da, integral_fld; - int filenum=0; - - /** - in verbose mode, provide some information */ + /** - write class version */ if (pba->background_verbose > 0) { - printf("Running CLASS version %s\n",_VERSION_); + // _smg + printf("Running hi_class version %s (CLASS version %s)\n",_HI_CLASS_VERSION_, _VERSION_); printf("Computing background\n"); - - /* below we want to inform the user about ncdm species*/ - if (pba->N_ncdm > 0) { - - Neff = pba->Omega0_ur/7.*8./pow(4./11.,4./3.)/pba->Omega0_g; - - /* loop over ncdm species */ - for (n_ncdm=0;n_ncdmN_ncdm; n_ncdm++) { - - /* inform if p-s-d read in files */ - if (pba->got_files[n_ncdm] == _TRUE_) { - printf(" -> ncdm species i=%d read from file %s\n",n_ncdm+1,pba->ncdm_psd_files+filenum*_ARGUMENT_LENGTH_MAX_); - filenum++; - } - - /* call this function to get rho_ncdm */ - background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], - pba->w_ncdm_bg[n_ncdm], - pba->q_size_ncdm_bg[n_ncdm], - 0., - pba->factor_ncdm[n_ncdm], - 0., - NULL, - &rho_ncdm_rel, - NULL, - NULL, - NULL); - - /* inform user of the contribution of each species to - radiation density (in relativistic limit): should be - between 1.01 and 1.02 for each active neutrino species; - evaluated as rho_ncdm/rho_nu_rel where rho_nu_rel is the - density of one neutrino in the instantaneous decoupling - limit, i.e. assuming T_nu=(4/11)^1/3 T_gamma (this comes - from the definition of N_eff) */ - rho_nu_rel = 56.0/45.0*pow(_PI_,6)*pow(4.0/11.0,4.0/3.0)*_G_/pow(_h_P_,3)/pow(_c_,7)* - pow(_Mpc_over_m_,2)*pow(pba->T_cmb*_k_B_,4); - - printf(" -> ncdm species i=%d sampled with %d (resp. %d) points for purpose of background (resp. perturbation) integration. In the relativistic limit it gives Delta N_eff = %g\n", - n_ncdm+1, - pba->q_size_ncdm_bg[n_ncdm], - pba->q_size_ncdm[n_ncdm], - rho_ncdm_rel/rho_nu_rel); - - Neff += rho_ncdm_rel/rho_nu_rel; - - } - - printf(" -> total N_eff = %g (sumed over ultra-relativistic and ncdm species)\n",Neff); - - } } /** - if shooting failed during input, catch the error here */ - class_test_except(pba->shooting_failed == _TRUE_, + class_test(pba->shooting_failed == _TRUE_, pba->error_message, - background_free_input(pba), "Shooting failed, try optimising input_get_guess(). Error message:\n\n%s", pba->shooting_error); - /** - assign values to all indices in vectors of background quantities with background_indices()*/ + /** - assign values to all indices in vectors of background quantities */ class_call(background_indices(pba), pba->error_message, pba->error_message); - /** - control that cosmological parameter values make sense */ + /** - check that input parameters make sense and write additional information about them */ + class_call(background_checks(ppr,pba), + pba->error_message, + pba->error_message); - /* H0 in Mpc^{-1} */ - /* Many users asked for this test to be supressed. It is commented out. */ - /*class_test((pba->H0 < _H0_SMALL_)||(pba->H0 > _H0_BIG_), + /** - integrate the background over log(a), allocate and fill the background table */ + class_call(background_solve(ppr,pba), pba->error_message, - "H0=%g out of bounds (%gH0,_H0_SMALL_,_H0_BIG_);*/ + pba->error_message); - class_test(fabs(pba->h * 1.e5 / _c_ / pba->H0 -1.)>ppr->smallest_allowed_variation, + /** - find and store a few derived parameters at radiation-matter equality */ + class_call(background_find_equality(ppr,pba), pba->error_message, - "inconsistency between Hubble and reduced Hubble parameters: you have H0=%f/Mpc=%fkm/s/Mpc, but h=%f",pba->H0,pba->H0/1.e5* _c_,pba->h); + pba->error_message); - /* T_cmb in K */ - /* Many users asked for this test to be supressed. It is commented out. */ - /*class_test((pba->T_cmb < _TCMB_SMALL_)||(pba->T_cmb > _TCMB_BIG_), - pba->error_message, - "T_cmb=%g out of bounds (%gT_cmb,_TCMB_SMALL_,_TCMB_BIG_);*/ - - /* Omega_k */ - /* Many users asked for this test to be supressed. It is commented out. */ - /*class_test((pba->Omega0_k < _OMEGAK_SMALL_)||(pba->Omega0_k > _OMEGAK_BIG_), - pba->error_message, - "Omegak = %g out of bounds (%gOmega0_k,_OMEGAK_SMALL_,_OMEGAK_BIG_);*/ - - /* fluid equation of state */ - if (pba->has_fld == _TRUE_) { - - class_call(background_w_fld(pba,0.,&w_fld,&dw_over_da,&integral_fld), pba->error_message, pba->error_message); - - class_test(w_fld >= 1./3., - pba->error_message, - "Your choice for w(a--->0)=%g is suspicious, since it is bigger than -1/3 there cannot be radiation domination at early times\n", - w_fld); - } - - /* in verbose mode, inform the user about the value of the ncdm - masses in eV and about the ratio [m/omega_ncdm] in eV (the usual - 93 point something)*/ - if ((pba->background_verbose > 0) && (pba->has_ncdm == _TRUE_)) { - for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { - printf(" -> non-cold dark matter species with i=%d has m_i = %e eV (so m_i / omega_i =%e eV)\n", - n_ncdm+1, - pba->m_ncdm_in_eV[n_ncdm], - pba->m_ncdm_in_eV[n_ncdm]*pba->deg_ncdm[n_ncdm]/pba->Omega0_ncdm[n_ncdm]/pba->h/pba->h); - } - } - - /* check other quantities which would lead to segmentation fault if zero */ - class_test(pba->a_today <= 0, - pba->error_message, - "input a_today = %e instead of strictly positive",pba->a_today); - - class_test(_Gyr_over_Mpc_ <= 0, - pba->error_message, - "_Gyr_over_Mpc = %e instead of strictly positive",_Gyr_over_Mpc_); - - /** - this function integrates the background over time, allocates - and fills the background table */ - class_call(background_solve(ppr,pba), - pba->error_message, - pba->error_message); - - /** - this function finds and stores a few derived parameters at radiation-matter equality */ - class_call(background_find_equality(ppr,pba), + /* - write a summary of the budget of the universe */ + class_call(background_output_budget(pba), pba->error_message, pba->error_message); @@ -755,7 +881,7 @@ int background_init( } /** - * Free all memory space allocated by background_init(). + * Free all memory space allocated by background_init() and by input_read_parameters(). * * * @param pba Input: pointer to background structure (to be freed) @@ -765,34 +891,37 @@ int background_init( int background_free( struct background *pba ) { - int err; - free(pba->tau_table); - free(pba->z_table); - free(pba->d2tau_dz2_table); - free(pba->background_table); - free(pba->d2background_dtau2_table); + class_call(background_free_noinput(pba), + pba->error_message, + pba->error_message); - err = background_free_input(pba); + class_call(background_free_input(pba), + pba->error_message, + pba->error_message); - return err; + return _SUCCESS_; } /** - * Free only the memory space NOT allocated through input_read_parameters() + * Free only the memory space NOT allocated through + * input_read_parameters(), but through background_init() * * @param pba Input: pointer to background structure (to be freed) * @return the error status */ int background_free_noinput( - struct background *pba - ) { + struct background *pba + ) { + free(pba->tau_table); free(pba->z_table); + free(pba->loga_table); free(pba->d2tau_dz2_table); + free(pba->d2z_dtau2_table); free(pba->background_table); - free(pba->d2background_dtau2_table); + free(pba->d2background_dloga2_table); return _SUCCESS_; } @@ -809,8 +938,9 @@ int background_free_input( ) { int k; - if (pba->Omega0_ncdm_tot != 0.){ - for(k=0; kN_ncdm; k++){ + + if (pba->Omega0_ncdm_tot != 0.) { + for (k=0; kN_ncdm; k++) { free(pba->q_ncdm[k]); free(pba->w_ncdm[k]); free(pba->q_ncdm_bg[k]); @@ -834,25 +964,22 @@ int background_free_input( free(pba->Omega0_ncdm); free(pba->m_ncdm_in_eV); free(pba->factor_ncdm); - if(pba->got_files!=NULL) + if (pba->got_files!=NULL) free(pba->got_files); - if(pba->ncdm_psd_files!=NULL) + if (pba->ncdm_psd_files!=NULL) free(pba->ncdm_psd_files); - if(pba->ncdm_psd_parameters!=NULL) + if (pba->ncdm_psd_parameters!=NULL) free(pba->ncdm_psd_parameters); } - if (pba->Omega0_scf != 0.){ + if (pba->Omega0_scf != 0.) { if (pba->scf_parameters != NULL) free(pba->scf_parameters); } - if (pba->Omega0_smg != 0.){ - if (pba->parameters_smg != NULL) - free(pba->parameters_smg); - //dealocate parameters_2_smg only for parameterizations - if (pba->field_evolution_smg == _FALSE_ && pba->parameters_2_smg != NULL) - free(pba->parameters_2_smg); + if (pba->Omega0_smg != 0.) { + background_free_smg(pba); } + return _SUCCESS_; } @@ -879,30 +1006,36 @@ int background_indices( /** - initialize all flags: which species are present? */ pba->has_cdm = _FALSE_; + pba->has_idm = _FALSE_; pba->has_ncdm = _FALSE_; pba->has_dcdm = _FALSE_; pba->has_dr = _FALSE_; pba->has_scf = _FALSE_; - pba->has_smg = _FALSE_; /*Scalar field*/ pba->has_lambda = _FALSE_; pba->has_fld = _FALSE_; pba->has_ur = _FALSE_; + pba->has_idr = _FALSE_; pba->has_curvature = _FALSE_; + pba->has_varconst = _FALSE_; + pba->has_smg = _FALSE_; /*Scalar field*/ if (pba->Omega0_cdm != 0.) pba->has_cdm = _TRUE_; + if (pba->Omega0_idm != 0.) + pba->has_idm = _TRUE_; + if (pba->Omega0_ncdm_tot != 0.) pba->has_ncdm = _TRUE_; - if (pba->Omega0_dcdmdr != 0.){ + if (pba->Omega0_dcdmdr != 0.) { pba->has_dcdm = _TRUE_; if (pba->Gamma_dcdm != 0.) pba->has_dr = _TRUE_; } - if (pba->Omega0_smg != 0.) - pba->has_smg = _TRUE_; + if (pba->Omega0_scf != 0.) + pba->has_scf = _TRUE_; if (pba->Omega0_lambda != 0.) pba->has_lambda = _TRUE_; @@ -913,9 +1046,18 @@ int background_indices( if (pba->Omega0_ur != 0.) pba->has_ur = _TRUE_; + if (pba->Omega0_idr != 0.) + pba->has_idr = _TRUE_; + if (pba->sgnK != 0) pba->has_curvature = _TRUE_; + if (pba->varconst_dep != varconst_none) + pba->has_varconst = _TRUE_; + + if (pba->Omega0_smg != 0.) + pba->has_smg = _TRUE_; + /** - initialize all indices */ index_bg=0; @@ -939,6 +1081,9 @@ int background_indices( /* - index for rho_cdm */ class_define_index(pba->index_bg_rho_cdm,pba->has_cdm,index_bg,1); + /* - index for rho_idm */ + class_define_index(pba->index_bg_rho_idm,pba->has_idm,index_bg,1); + /* - indices for ncdm. We only define the indices for ncdm1 (density, pressure, pseudo-pressure), the other ncdm indices are contiguous */ @@ -952,61 +1097,15 @@ int background_indices( /* - index for dr */ class_define_index(pba->index_bg_rho_dr,pba->has_dr,index_bg,1); - /* - indices for scalar field (modified gravity) */ - class_define_index(pba->index_bg_phi_smg,pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_phi_prime_smg,pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_phi_prime_prime_smg,pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_M2_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_delta_M2_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_rho_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_p_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_rho_prime_smg,pba->has_smg && pba->rho_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_w_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_kineticity_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_braiding_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_tensor_excess_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_mpl_running_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_kineticity_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_braiding_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_mpl_running_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_tensor_excess_prime_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_cs2_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_cs2num_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_cs2num_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_kinetic_D_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_kinetic_D_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_1_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_2_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_3_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_4_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_5_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_6_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_7_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_8_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_9_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_10_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_11_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_2_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_8_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_9_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_lambda_11_prime_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_E0_smg,pba->has_smg && pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_E1_smg,pba->has_smg && pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_E2_smg,pba->has_smg && pba->field_evolution_smg,index_bg,1); - class_define_index(pba->index_bg_E3_smg,pba->has_smg && pba->field_evolution_smg,index_bg,1); - - class_define_index(pba->index_bg_rho_tot_wo_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_p_tot_wo_smg,pba->has_smg,index_bg,1); - - class_define_index(pba->index_bg_H_prime_prime,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_p_tot_wo_prime_smg,pba->has_smg,index_bg,1); - class_define_index(pba->index_bg_p_prime_smg,pba->has_smg,index_bg,1); - + /* - indices for scalar field */ + class_define_index(pba->index_bg_phi_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_phi_prime_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_V_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_dV_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_ddV_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_rho_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_p_scf,pba->has_scf,index_bg,1); + class_define_index(pba->index_bg_p_prime_scf,pba->has_scf,index_bg,1); /* - index for Lambda */ class_define_index(pba->index_bg_rho_lambda,pba->has_lambda,index_bg,1); @@ -1018,12 +1117,34 @@ int background_indices( /* - index for ultra-relativistic neutrinos/species */ class_define_index(pba->index_bg_rho_ur,pba->has_ur,index_bg,1); + /* - index for total density */ + class_define_index(pba->index_bg_rho_tot,_TRUE_,index_bg,1); + + /* - index for total pressure */ + class_define_index(pba->index_bg_p_tot,_TRUE_,index_bg,1); + + /* - index for derivative of total pressure */ + class_define_index(pba->index_bg_p_tot_prime,_TRUE_,index_bg,1); + /* - index for Omega_r (relativistic density fraction) */ class_define_index(pba->index_bg_Omega_r,_TRUE_,index_bg,1); - /* - index for Omega_de (dark energy density fraction) */ + /* - index for Omega_de (dark energy density fraction) (_smg) */ class_define_index(pba->index_bg_Omega_de,_TRUE_,index_bg,1); + /* - index interacting for dark radiation */ + class_define_index(pba->index_bg_rho_idr,pba->has_idr,index_bg,1); + + + /* - indices for scalar field (modified gravity) */ + if (pba->has_smg == _TRUE_) { + class_call( + background_define_indices_bg_smg(pba, &index_bg), + pba->error_message, + pba->error_message + ); + } + /* - put here additional ingredients that you want to appear in the normal vector */ /* */ @@ -1061,6 +1182,12 @@ int background_indices( /* -> velocity growth factor in dust universe */ class_define_index(pba->index_bg_f,_TRUE_,index_bg,1); + /* -> varying fundamental constant -- alpha (fine structure) */ + class_define_index(pba->index_bg_varc_alpha,pba->has_varconst,index_bg,1); + + /* -> varying fundamental constant -- me (effective electron mass) */ + class_define_index(pba->index_bg_varc_me,pba->has_varconst,index_bg,1); + /* -> put here additional quantities describing background */ /* */ /* */ @@ -1073,11 +1200,8 @@ int background_indices( index_bi=0; - /* -> scale factor */ - class_define_index(pba->index_bi_a,_TRUE_,index_bi,1); - - /* index for Hubble rate */ - class_define_index(pba->index_bi_H,pba->hubble_evolution,index_bi,1); + /* -> index for conformal time in vector of variables to integrate */ + class_define_index(pba->index_bi_tau,_TRUE_,index_bi,1); /* -> energy density in DCDM */ class_define_index(pba->index_bi_rho_dcdm,pba->has_dcdm,index_bi,1); @@ -1085,29 +1209,6 @@ int background_indices( /* -> energy density in DR */ class_define_index(pba->index_bi_rho_dr,pba->has_dr,index_bi,1); - /* -> scalar field and its derivative wrt conformal time */ - class_define_index(pba->index_bi_phi_scf,pba->has_scf,index_bi,1); - class_define_index(pba->index_bi_phi_prime_scf,pba->has_scf,index_bi,1); - - /* -> scalar field and its derivative wrt conformal time (only if needs to evolve the field) - * plus other parameters that might be integrated in certain parameterizations - */ - if (pba->has_smg == _TRUE_){ - class_define_index(pba->index_bi_phi_smg, - pba->field_evolution_smg,index_bi,1); - class_define_index(pba->index_bi_phi_prime_smg, - pba->field_evolution_smg,index_bi,1); - - //if model needs to integrate M_pl from alpha_M, declare an index - class_define_index(pba->index_bi_delta_M_pl_smg, - pba->M_pl_evolution_smg,index_bi,1); - - /* index for the smg energy density */ - class_define_index(pba->index_bi_rho_smg, - pba->rho_evolution_smg,index_bi,1); - -} - /* -> energy density in fluid */ class_define_index(pba->index_bi_rho_fld,pba->has_fld,index_bi,1); @@ -1115,9 +1216,23 @@ int background_indices( class_define_index(pba->index_bi_phi_scf,pba->has_scf,index_bi,1); class_define_index(pba->index_bi_phi_prime_scf,pba->has_scf,index_bi,1); - /* End of {B} variables, now continue with {C} variables */ + /* index for Hubble rate (_smg) */ + class_define_index(pba->index_bi_logH,pba->hubble_evolution,index_bi,1); + + /* - indices for scalar field (modified gravity _smg) */ + if (pba->has_smg == _TRUE_) { + class_call( + background_define_indices_bi_smg(pba, &index_bi), + pba->error_message, + pba->error_message + ); + } + + /* End of {B} variables */ pba->bi_B_size = index_bi; + /* now continue with {C} variables */ + /* -> proper time (for age of the Universe) */ class_define_index(pba->index_bi_time,_TRUE_,index_bi,1); @@ -1128,27 +1243,10 @@ int background_indices( class_define_index(pba->index_bi_D,_TRUE_,index_bi,1); class_define_index(pba->index_bi_D_prime,_TRUE_,index_bi,1); - /* -> index for conformal time in vector of variables to integrate */ - class_define_index(pba->index_bi_tau,_TRUE_,index_bi,1); /* -> end of indices in the vector of variables to integrate */ pba->bi_size = index_bi; - /* index_bi_tau must be the last index, because tau is part of this vector for the purpose of being stored, */ - /* but it is not a quantity to be integrated (since integration is over tau itself) */ - class_test(pba->index_bi_tau != index_bi-1, - pba->error_message, - "background integration requires index_bi_tau to be the last of all index_bi's"); - - /* flags for calling the interpolation routine */ - - pba->short_info=0; - pba->normal_info=1; - pba->long_info=2; - - pba->inter_normal=0; - pba->inter_closeby=1; - return _SUCCESS_; } @@ -1192,11 +1290,11 @@ int background_ncdm_distribution( if (pba->got_files[n_ncdm]==_TRUE_) { lastidx = pbadist_local->tablesize-1; - if(qq[0]){ + if (qq[0]) { //Handle q->0 case: *f0 = pbadist_local->f0[0]; } - else if(q>pbadist_local->q[lastidx]){ + else if (q>pbadist_local->q[lastidx]) { //Handle q>qmax case (ensure continuous and derivable function with Boltzmann tail): qlast=pbadist_local->q[lastidx]; f0last=pbadist_local->f0[lastidx]; @@ -1278,9 +1376,9 @@ int background_ncdm_distribution( /* loop over flavor eigenstates and compute psd of mass eigenstates */ *f0=0.0; - for(i=0;i<3;i++){ + for (i=0;i<3;i++) { - *f0 += mixing_matrix[i][n_ncdm]*1.0/pow(2*_PI_,3)*(1./(exp(q-pba->ksi_ncdm[i])+1.) +1./(exp(q+pba->ksi_ncdm[i])+1.)); + *f0 += mixing_matrix[i][n_ncdm]*1.0/pow(2*_PI_,3)*(1./(exp(q-pba->ksi_ncdm[i])+1.) +1./(exp(q+pba->ksi_ncdm[i])+1.)); } } /* end of region not used, but shown as an example */ @@ -1349,17 +1447,17 @@ int background_ncdm_init( class_alloc(pba->q_size_ncdm_bg,sizeof(int)*pba->N_ncdm,pba->error_message); class_alloc(pba->factor_ncdm,sizeof(double)*pba->N_ncdm,pba->error_message); - for(k=0, filenum=0; kN_ncdm; k++){ + for (k=0, filenum=0; kN_ncdm; k++) { pbadist.n_ncdm = k; pbadist.q = NULL; pbadist.tablesize = 0; /*Do we need to read in a file to interpolate the distribution function? */ - if ((pba->got_files!=NULL)&&(pba->got_files[k]==_TRUE_)){ + if ((pba->got_files!=NULL)&&(pba->got_files[k]==_TRUE_)) { psdfile = fopen(pba->ncdm_psd_files+filenum*_ARGUMENT_LENGTH_MAX_,"r"); class_test(psdfile == NULL,pba->error_message, "Could not open file %s!",pba->ncdm_psd_files+filenum*_ARGUMENT_LENGTH_MAX_); // Find size of table: - for (row=0,status=2; status==2; row++){ + for (row=0,status=2; status==2; row++) { status = fscanf(psdfile,"%lf %lf",&tmp1,&tmp2); } rewind(psdfile); @@ -1369,10 +1467,10 @@ int background_ncdm_init( class_alloc(pbadist.q,sizeof(double)*pbadist.tablesize,pba->error_message); class_alloc(pbadist.f0,sizeof(double)*pbadist.tablesize,pba->error_message); class_alloc(pbadist.d2f0,sizeof(double)*pbadist.tablesize,pba->error_message); - for (row=0; rowncdm_quadrature_strategy[k]==qm_auto){ + if (pba->ncdm_quadrature_strategy[k]==qm_auto) { /** Automatic q-sampling for this species */ class_alloc(pba->q_ncdm[k],_QUADRATURE_MAX_*sizeof(double),pba->error_message); class_alloc(pba->w_ncdm[k],_QUADRATURE_MAX_*sizeof(double),pba->error_message); class_call(get_qsampling(pba->q_ncdm[k], - pba->w_ncdm[k], - &(pba->q_size_ncdm[k]), - _QUADRATURE_MAX_, - ppr->tol_ncdm, - pbadist.q, - pbadist.tablesize, - background_ncdm_test_function, - background_ncdm_distribution, - &pbadist, - pba->error_message), - pba->error_message, - pba->error_message); - pba->q_ncdm[k]=realloc(pba->q_ncdm[k],pba->q_size_ncdm[k]*sizeof(double)); - pba->w_ncdm[k]=realloc(pba->w_ncdm[k],pba->q_size_ncdm[k]*sizeof(double)); - - - if (pba->background_verbose > 0) - printf("ncdm species i=%d sampled with %d points for purpose of perturbation integration\n", - k+1, - pba->q_size_ncdm[k]); + pba->w_ncdm[k], + &(pba->q_size_ncdm[k]), + _QUADRATURE_MAX_, + ppr->tol_ncdm, + pbadist.q, + pbadist.tablesize, + background_ncdm_test_function, + background_ncdm_distribution, + &pbadist, + pba->error_message), + pba->error_message, + pba->error_message); + class_realloc(pba->q_ncdm[k],pba->q_size_ncdm[k]*sizeof(double), pba->error_message); + class_realloc(pba->w_ncdm[k],pba->q_size_ncdm[k]*sizeof(double), pba->error_message); + + if (pba->background_verbose > 0) { + printf("ncdm species i=%d sampled with %d points for purpose of perturbation integration\n", + k+1, + pba->q_size_ncdm[k]); + } /* Handle background q_sampling: */ class_alloc(pba->q_ncdm_bg[k],_QUADRATURE_MAX_BG_*sizeof(double),pba->error_message); class_alloc(pba->w_ncdm_bg[k],_QUADRATURE_MAX_BG_*sizeof(double),pba->error_message); class_call(get_qsampling(pba->q_ncdm_bg[k], - pba->w_ncdm_bg[k], - &(pba->q_size_ncdm_bg[k]), - _QUADRATURE_MAX_BG_, - ppr->tol_ncdm_bg, - pbadist.q, - pbadist.tablesize, - background_ncdm_test_function, - background_ncdm_distribution, - &pbadist, - pba->error_message), - pba->error_message, - pba->error_message); - - - pba->q_ncdm_bg[k]=realloc(pba->q_ncdm_bg[k],pba->q_size_ncdm_bg[k]*sizeof(double)); - pba->w_ncdm_bg[k]=realloc(pba->w_ncdm_bg[k],pba->q_size_ncdm_bg[k]*sizeof(double)); + pba->w_ncdm_bg[k], + &(pba->q_size_ncdm_bg[k]), + _QUADRATURE_MAX_BG_, + ppr->tol_ncdm_bg, + pbadist.q, + pbadist.tablesize, + background_ncdm_test_function, + background_ncdm_distribution, + &pbadist, + pba->error_message), + pba->error_message, + pba->error_message); + + class_realloc(pba->q_ncdm_bg[k],pba->q_size_ncdm_bg[k]*sizeof(double), pba->error_message); + class_realloc(pba->w_ncdm_bg[k],pba->q_size_ncdm_bg[k]*sizeof(double), pba->error_message); /** - in verbose mode, inform user of number of sampled momenta - for background quantities */ - if (pba->background_verbose > 0) - printf("ncdm species i=%d sampled with %d points for purpose of background integration\n", - k+1, - pba->q_size_ncdm_bg[k]); + for background quantities */ + if (pba->background_verbose > 0) { + printf("ncdm species i=%d sampled with %d points for purpose of background integration\n", + k+1, + pba->q_size_ncdm_bg[k]); + } } else{ /** Manual q-sampling for this species. Same sampling used for both perturbation and background sampling, since this will usually be a high precision setting anyway */ @@ -1454,27 +1552,28 @@ int background_ncdm_init( class_alloc(pba->q_ncdm[k],pba->q_size_ncdm[k]*sizeof(double),pba->error_message); class_alloc(pba->w_ncdm[k],pba->q_size_ncdm[k]*sizeof(double),pba->error_message); class_call(get_qsampling_manual(pba->q_ncdm[k], - pba->w_ncdm[k], - pba->q_size_ncdm[k], - pba->ncdm_qmax[k], - pba->ncdm_quadrature_strategy[k], - pbadist.q, - pbadist.tablesize, - background_ncdm_distribution, - &pbadist, - pba->error_message), - pba->error_message, - pba->error_message); + pba->w_ncdm[k], + pba->q_size_ncdm[k], + pba->ncdm_qmax[k], + pba->ncdm_quadrature_strategy[k], + pbadist.q, + pbadist.tablesize, + background_ncdm_distribution, + &pbadist, + pba->error_message), + pba->error_message, + pba->error_message); for (index_q=0; index_qq_size_ncdm[k]; index_q++) { - pba->q_ncdm_bg[k][index_q] = pba->q_ncdm[k][index_q]; - pba->w_ncdm_bg[k][index_q] = pba->w_ncdm[k][index_q]; + pba->q_ncdm_bg[k][index_q] = pba->q_ncdm[k][index_q]; + pba->w_ncdm_bg[k][index_q] = pba->w_ncdm[k][index_q]; + } + /** - in verbose mode, inform user of number of sampled momenta + for background quantities */ + if (pba->background_verbose > 0) { + printf("ncdm species i=%d sampled with %d points for purpose of background andperturbation integration using the manual method\n", + k+1, + pba->q_size_ncdm[k]); } - /** - in verbose mode, inform user of number of sampled momenta - for background quantities */ - if (pba->background_verbose > 0) - printf("ncdm species i=%d sampled with %d points for purpose of background andperturbation integration using the manual method\n", - k+1, - pba->q_size_ncdm[k]); } class_alloc(pba->dlnf0_dlnq_ncdm[k], @@ -1488,12 +1587,12 @@ int background_ncdm_init( pba->error_message,pba->error_message); //Loop to find appropriate dq: - for(tolexp=_PSD_DERIVATIVE_EXP_MIN_; tolexp<_PSD_DERIVATIVE_EXP_MAX_; tolexp++){ + for (tolexp=_PSD_DERIVATIVE_EXP_MIN_; tolexp<_PSD_DERIVATIVE_EXP_MAX_; tolexp++) { - if (index_q == 0){ + if (index_q == 0) { dq = MIN((0.5-ppr->smallest_allowed_variation)*q,2*exp(tolexp)*(pba->q_ncdm[k][index_q+1]-q)); } - else if (index_q == pba->q_size_ncdm[k]-1){ + else if (index_q == pba->q_size_ncdm[k]-1) { dq = exp(tolexp)*2.0*(pba->q_ncdm[k][index_q]-pba->q_ncdm[k][index_q-1]); } else{ @@ -1526,7 +1625,7 @@ int background_ncdm_init( /3./pow(_h_P_/2./_PI_,3)/pow(_c_,7)*_Mpc_over_m_*_Mpc_over_m_; /* If allocated, deallocate interpolation table: */ - if ((pba->got_files!=NULL)&&(pba->got_files[k]==_TRUE_)){ + if ((pba->got_files!=NULL)&&(pba->got_files[k]==_TRUE_)) { free(pbadist.q); free(pbadist.f0); free(pbadist.d2f0); @@ -1654,7 +1753,7 @@ int background_ncdm_M_from_Omega( /* In the strict NR limit we have rho = n*(M) today, giving a zeroth order guess: */ M = rho0/n; /* This is our guess for M. */ - for (iter=1; iter<=maxiter; iter++){ + for (iter=1; iter<=maxiter; iter++) { /* Newton iteration. First get relevant quantities at M: */ background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], @@ -1672,7 +1771,7 @@ int background_ncdm_M_from_Omega( deltaM = (rho0-rho)/drhodM; /* By definition of the derivative */ if ((M+deltaM)<0.0) deltaM = -M/2.0; /* Avoid overshooting to negative M value. */ M += deltaM; /* Update value of M.. */ - if (fabs(deltaM/M)tol_M_ncdm){ + if (fabs(deltaM/M)tol_M_ncdm) { /* Accuracy reached.. */ pba->M_ncdm[n_ncdm] = M; break; @@ -1683,6 +1782,143 @@ int background_ncdm_M_from_Omega( return _SUCCESS_; } +/** + * Perform some check on the input background quantities, and send to + * standard output some information about them + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to initialized background structure + * @return the error status + */ + +int background_checks( + struct precision* ppr, + struct background* pba + ) { + + /** - define local variables */ + int n_ncdm; + double rho_ncdm_rel,rho_nu_rel; + double N_dark; + double w_fld, dw_over_da, integral_fld; + int filenum=0; + + /** - control that we have photons and baryons in the problem */ + class_test((pba->Omega0_g<=0) || (pba->Omega0_b<=0), + pba->error_message, + "CLASS is conceived to work in a universe containing at least two species: photons and baryons. You could work in the limit where Omega_g or Omega_b are very small, but not zero"); + + /** - control that cosmological parameter values make sense, otherwise inform user */ + + /* H0 in Mpc^{-1} */ + /* Many users asked for this test to be supressed. It is commented out. */ + /*class_test((pba->H0 < _H0_SMALL_)||(pba->H0 > _H0_BIG_), + pba->error_message, + "H0=%g out of bounds (%gH0,_H0_SMALL_,_H0_BIG_);*/ + + /* consistency between h and H0 */ + class_test(fabs(pba->h * 1.e5 / _c_ / pba->H0 -1.)>ppr->smallest_allowed_variation, + pba->error_message, + "inconsistency between Hubble and reduced Hubble parameters: you have H0=%f/Mpc=%fkm/s/Mpc, but h=%f",pba->H0,pba->H0/1.e5* _c_,pba->h); + + /* T_cmb in K */ + /* Many users asked for this test to be supressed. It is commented out. */ + /*class_test((pba->T_cmb < _TCMB_SMALL_)||(pba->T_cmb > _TCMB_BIG_), + pba->error_message, + "T_cmb=%g out of bounds (%gT_cmb,_TCMB_SMALL_,_TCMB_BIG_);*/ + + /* Omega_k */ + /* Many users asked for this test to be supressed. It is commented out. */ + /*class_test((pba->Omega0_k < _OMEGAK_SMALL_)||(pba->Omega0_k > _OMEGAK_BIG_), + pba->error_message, + "Omegak = %g out of bounds (%gOmega0_k,_OMEGAK_SMALL_,_OMEGAK_BIG_);*/ + + /* fluid equation of state */ + if (pba->has_fld == _TRUE_) { + + class_call(background_w_fld(pba,0.,&w_fld,&dw_over_da,&integral_fld), pba->error_message, pba->error_message); + + class_test(w_fld >= 1./3., + pba->error_message, + "Your choice for w(a--->0)=%g is suspicious, since it is bigger than 1/3 there cannot be radiation domination at early times\n", + w_fld); + } + + /* Varying fundamental constants */ + if (pba->has_varconst == _TRUE_) { + class_test(pba->varconst_alpha <= 0, + pba->error_message, + "incorrect fine structure constant before transition"); + class_test(pba->varconst_me <= 0, + pba->error_message, + "incorrect effective electron mass before transition"); + class_test(pba->varconst_transition_redshift < 0, + pba->error_message, + "incorrect transition redshift"); + } + + /** - in verbose mode, send to standard output some additional information on non-obvious background parameters */ + if (pba->background_verbose > 0) { + + if (pba->has_ncdm == _TRUE_) { + + /* loop over ncdm species */ + for (n_ncdm=0;n_ncdmN_ncdm; n_ncdm++) { + + /* inform if p-s-d read in files */ + if (pba->got_files[n_ncdm] == _TRUE_) { + printf(" -> ncdm species i=%d read from file %s\n",n_ncdm+1,pba->ncdm_psd_files+filenum*_ARGUMENT_LENGTH_MAX_); + filenum++; + } + + /* inform the user also about the value of the ncdm + masses in eV and about */ + printf(" -> non-cold dark matter species with i=%d has m_i = %e eV (so m_i / omega_i =%e eV)\n", + n_ncdm+1, + pba->m_ncdm_in_eV[n_ncdm], + pba->m_ncdm_in_eV[n_ncdm]*pba->deg_ncdm[n_ncdm]/pba->Omega0_ncdm[n_ncdm]/pba->h/pba->h); + + /* call this function to get rho_ncdm */ + background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + pba->w_ncdm_bg[n_ncdm], + pba->q_size_ncdm_bg[n_ncdm], + 0., + pba->factor_ncdm[n_ncdm], + 0., + NULL, + &rho_ncdm_rel, + NULL, + NULL, + NULL); + + /* inform user of the contribution of each species to + radiation density (in relativistic limit): should be + between 1.01 and 1.02 for each active neutrino species; + evaluated as rho_ncdm/rho_nu_rel where rho_nu_rel is the + density of one neutrino in the instantaneous decoupling + limit, i.e. assuming T_nu=(4/11)^1/3 T_gamma (this comes + from the definition of N_eff) */ + rho_nu_rel = 56.0/45.0*pow(_PI_,6)*pow(4.0/11.0,4.0/3.0)*_G_/pow(_h_P_,3)/pow(_c_,7)* + pow(_Mpc_over_m_,2)*pow(pba->T_cmb*_k_B_,4); + + printf(" -> ncdm species i=%d sampled with %d (resp. %d) points for purpose of background (resp. perturbation) integration. In the relativistic limit it gives Delta N_eff = %g\n", + n_ncdm+1, + pba->q_size_ncdm_bg[n_ncdm], + pba->q_size_ncdm[n_ncdm], + rho_ncdm_rel/rho_nu_rel); + } + } + + /* contribution of interacting dark radiation _idr to N_eff */ + if (pba->has_idr == _TRUE_) { + N_dark = pba->Omega0_idr/7.*8./pow(4./11.,4./3.)/pba->Omega0_g; + printf(" -> dark radiation Delta Neff %e\n",N_dark); + } + } + + return _SUCCESS_; +} + /** * This function integrates the background over time, allocates and * fills the background table @@ -1700,31 +1936,35 @@ int background_solve( /** - define local variables */ - /* contains all quantities relevant for the integration algorithm */ - struct generic_integrator_workspace gi; /* parameters and workspace for the background_derivs function */ struct background_parameters_and_workspace bpaw; - /* a growing table (since the number of time steps is not known a priori) */ - growTable gTable; - /* needed for growing table */ - double * pData; - /* needed for growing table */ - void * memcopy_result; - /* initial conformal time */ - double tau_start; - /* final conformal time */ - double tau_end; - /* an index running over bi indices */ - int i; /* vector of quantities to be integrated */ double * pvecback_integration; /* vector of all background quantities */ double * pvecback; - /* necessary for calling array_interpolate(), but never used */ - int last_index=0; /* comoving radius coordinate in Mpc (equal to conformal distance in flat case) */ double comoving_radius=0.; + /* conformal distance in Mpc (equal to comoving radius in flat case) */ + double conformal_distance; + + /* evolvers */ + extern int evolver_rk(EVOLVER_PROTOTYPE); + extern int evolver_ndf15(EVOLVER_PROTOTYPE); + int (*generic_evolver)(EVOLVER_PROTOTYPE) = evolver_ndf15; + + /* initial and final loga values */ + double loga_ini, loga_final; + /* growth factor today */ + double D_today; + /* indices for the different arrays */ + int index_loga, index_scf; + /* what parameters are used in the output? */ + int * used_in_output; + + /* index of ncdm species */ + int n_ncdm; + /** - setup background workspace */ bpaw.pba = pba; class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); bpaw.pvecback = pvecback; @@ -1733,193 +1973,109 @@ int background_solve( class_alloc(pvecback_integration,pba->bi_size*sizeof(double),pba->error_message); /** - impose initial conditions with background_initial_conditions() */ - class_call(background_initial_conditions(ppr,pba,pvecback,pvecback_integration), + class_call_except(background_initial_conditions(ppr,pba,pvecback,pvecback_integration,&(loga_ini)), pba->error_message, - pba->error_message); - - /** - initialize generic integrator with initialize_generic_integrator() */ - - /* Size of vector to integrate is (pba->bi_size-1) rather than - * (pba->bi_size), since tau is not integrated. - */ - class_call(initialize_generic_integrator((pba->bi_size-1),&gi), - gi.error_message, - pba->error_message); + pba->error_message, + free(pvecback);free(pvecback_integration);); - /* here tau_end is in fact the initial time (in the next loop - tau_start = tau_end) */ - tau_end=pvecback_integration[pba->index_bi_tau]; + /** - Determine output vector */ + loga_final = 0.; // with our conventions, loga is in fact log(a/a_0); we integrate until today, when log(a/a_0) = 0 + pba->bt_size = ppr->background_Nloga; - /** - create a growTable with gt_init() */ - class_call(gt_init(&gTable), - gTable.error_message, - pba->error_message); + /** - allocate background tables */ + class_alloc(pba->tau_table,pba->bt_size * sizeof(double),pba->error_message); + class_alloc(pba->z_table,pba->bt_size * sizeof(double),pba->error_message); + class_alloc(pba->loga_table,pba->bt_size * sizeof(double),pba->error_message); - /* initialize the counter for the number of steps */ - pba->bt_size=0; + class_alloc(pba->d2tau_dz2_table,pba->bt_size * sizeof(double),pba->error_message); + class_alloc(pba->d2z_dtau2_table,pba->bt_size * sizeof(double),pba->error_message); - /** - loop over integration steps: call background_functions(), find step size, save data in growTable with gt_add(), perform one step with generic_integrator(), store new value of tau */ + class_alloc(pba->background_table,pba->bt_size * pba->bg_size * sizeof(double),pba->error_message); + class_alloc(pba->d2background_dloga2_table,pba->bt_size * pba->bg_size * sizeof(double),pba->error_message); - while (pvecback_integration[pba->index_bi_a] < pba->a_today) { + class_alloc(used_in_output, pba->bt_size*sizeof(int), pba->error_message); - tau_start = tau_end; + /** - define values of loga at which results will be stored */ + for (index_loga=0; index_logabt_size; index_loga++) { + pba->loga_table[index_loga] = loga_ini + index_loga*(loga_final-loga_ini)/(pba->bt_size-1); + used_in_output[index_loga] = 1; + } - /* -> find step size (trying to adjust the last step as close as possible to the one needed to reach a=a_today; need not be exact, difference corrected later) */ - class_call(background_functions(pba,pvecback_integration, pba->short_info, pvecback), - pba->error_message, - pba->error_message); + /** - choose the right evolver */ + switch (ppr->background_evolver) { - if ((pvecback_integration[pba->index_bi_a]*(1.+ppr->back_integration_stepsize)) < pba->a_today) { - tau_end = tau_start + ppr->back_integration_stepsize / (pvecback_integration[pba->index_bi_a]*pvecback[pba->index_bg_H]); - /* no possible segmentation fault here: non-zeroness of "a" has been checked in background_functions() */ - } - else { - tau_end = tau_start + (pba->a_today/pvecback_integration[pba->index_bi_a]-1.) / (pvecback_integration[pba->index_bi_a]*pvecback[pba->index_bg_H]); - /* no possible segmentation fault here: non-zeroness of "a" has been checked in background_functions() */ + case rk: + generic_evolver = evolver_rk; + if (pba->background_verbose > 1) { + printf("%s\n", "Chose rk as generic_evolver"); } + break; - - class_test_except((tau_end-tau_start)/tau_start < ppr->smallest_allowed_variation, - pba->error_message, - gt_free(&gTable);cleanup_generic_integrator(&gi);background_free_input(pba);free(pvecback_integration);free(pvecback), - "integration step: relative change in time =%e < machine precision : leads either to numerical error or infinite loop",(tau_end-tau_start)/tau_start); - - /* -> save data in growTable */ - class_call(gt_add(&gTable,_GT_END_,(void *) pvecback_integration,sizeof(double)*pba->bi_size), - gTable.error_message, - pba->error_message); - pba->bt_size++; - - - /* -> perform one step */ - class_call(generic_integrator(background_derivs, - tau_start, - tau_end, - pvecback_integration, - &bpaw, - ppr->tol_background_integration, - ppr->smallest_allowed_variation, - &gi), - gi.error_message, - pba->error_message); - - /* -> store value of tau */ - pvecback_integration[pba->index_bi_tau]=tau_end; - + case ndf15: + generic_evolver = evolver_ndf15; + if (pba->background_verbose > 1) { + printf("%s\n", "Chose ndf15 as generic_evolver"); + } + break; } - /** - save last data in growTable with gt_add() */ - class_call(gt_add(&gTable,_GT_END_,(void *) pvecback_integration,sizeof(double)*pba->bi_size), - gTable.error_message, - pba->error_message); - pba->bt_size++; - - - /* integration finished */ - - /** - clean up generic integrator with cleanup_generic_integrator() */ - class_call(cleanup_generic_integrator(&gi), - gi.error_message, - pba->error_message); - - /** - retrieve data stored in the growTable with gt_getPtr() */ - class_call(gt_getPtr(&gTable,(void**)&pData), - gTable.error_message, - pba->error_message); - - /** - interpolate to get quantities precisely today with array_interpolate() */ - class_call(array_interpolate( - pData, - pba->bi_size, - pba->bt_size, - pba->index_bi_a, - pba->a_today, - &last_index, - pvecback_integration, - pba->bi_size, - pba->error_message), + /** - perform the integration */ + class_call_except(generic_evolver(background_derivs, + loga_ini, + loga_final, + pvecback_integration, + used_in_output, + pba->bi_size, + &bpaw, + ppr->tol_background_integration, + ppr->smallest_allowed_variation, + background_timescale, //'evaluate_timescale', required by evolver_rk but not by ndf15 + ppr->background_integration_stepsize, + pba->loga_table, + pba->bt_size, + background_sources, + NULL, //'print_variables' in evolver_rk could be set, but, not required + pba->error_message), pba->error_message, - pba->error_message); - - /* substitute last line with quantities today */ - for (i=0; ibi_size; i++) - pData[(pba->bt_size-1)*pba->bi_size+i]=pvecback_integration[i]; + pba->error_message, + background_free_noinput(pba); + free(pvecback); + free(pvecback_integration); + free(used_in_output); + ); - /** - deduce age of the Universe */ + /** - recover some quantities today */ /* -> age in Gyears */ pba->age = pvecback_integration[pba->index_bi_time]/_Gyr_over_Mpc_; /* -> conformal age in Mpc */ pba->conformal_age = pvecback_integration[pba->index_bi_tau]; /* -> contribution of decaying dark matter and dark radiation to the critical density today: */ - if (pba->has_dcdm == _TRUE_){ + if (pba->has_dcdm == _TRUE_) { pba->Omega0_dcdm = pvecback_integration[pba->index_bi_rho_dcdm]/pba->H0/pba->H0; } - if (pba->has_dr == _TRUE_){ + if (pba->has_dr == _TRUE_) { pba->Omega0_dr = pvecback_integration[pba->index_bi_rho_dr]/pba->H0/pba->H0; } + /* -> scale-invariant growth rate today */ + D_today = pvecback_integration[pba->index_bi_D]; + /** - In a loop over lines, fill rest of background table for + quantities that depend on numbers like "conformal_age" or + "D_today" that were calculated just before */ + for (index_loga=0; index_loga < pba->bt_size; index_loga++) { - /** - allocate background tables */ - class_alloc(pba->tau_table,pba->bt_size * sizeof(double),pba->error_message); - - class_alloc(pba->z_table,pba->bt_size * sizeof(double),pba->error_message); + pba->background_table[index_loga*pba->bg_size+pba->index_bg_D]*= 1./D_today; - class_alloc(pba->d2tau_dz2_table,pba->bt_size * sizeof(double),pba->error_message); + conformal_distance = pba->conformal_age - pba->tau_table[index_loga]; + pba->background_table[index_loga*pba->bg_size+pba->index_bg_conf_distance] = conformal_distance; - class_alloc(pba->background_table,pba->bt_size * pba->bg_size * sizeof(double),pba->error_message); + if (pba->sgnK == 0) { comoving_radius = conformal_distance; } + else if (pba->sgnK == 1) { comoving_radius = sin(sqrt(pba->K)*conformal_distance)/sqrt(pba->K); } + else if (pba->sgnK == -1) { comoving_radius = sinh(sqrt(-pba->K)*conformal_distance)/sqrt(-pba->K); } - class_alloc(pba->d2background_dtau2_table,pba->bt_size * pba->bg_size * sizeof(double),pba->error_message); - - /** - In a loop over lines, fill background table using the result of the integration plus background_functions() */ - for (i=0; i < pba->bt_size; i++) { - - /* -> establish correspondence between the integrated variable and the bg variables */ - - pba->tau_table[i] = pData[i*pba->bi_size+pba->index_bi_tau]; - - class_test(pData[i*pba->bi_size+pba->index_bi_a] <= 0., - pba->error_message, - "a = %e instead of strictly positiv",pData[i*pba->bi_size+pba->index_bi_a]); - - pba->z_table[i] = pba->a_today/pData[i*pba->bi_size+pba->index_bi_a]-1.; - - pvecback[pba->index_bg_time] = pData[i*pba->bi_size+pba->index_bi_time]; - pvecback[pba->index_bg_conf_distance] = pba->conformal_age - pData[i*pba->bi_size+pba->index_bi_tau]; - - if (pba->sgnK == 0) comoving_radius = pvecback[pba->index_bg_conf_distance]; - else if (pba->sgnK == 1) comoving_radius = sin(sqrt(pba->K)*pvecback[pba->index_bg_conf_distance])/sqrt(pba->K); - else if (pba->sgnK == -1) comoving_radius = sinh(sqrt(-pba->K)*pvecback[pba->index_bg_conf_distance])/sqrt(-pba->K); - - pvecback[pba->index_bg_ang_distance] = pba->a_today*comoving_radius/(1.+pba->z_table[i]); - pvecback[pba->index_bg_lum_distance] = pba->a_today*comoving_radius*(1.+pba->z_table[i]); - pvecback[pba->index_bg_rs] = pData[i*pba->bi_size+pba->index_bi_rs]; - - /* -> compute all other quantities depending only on {B} variables. - The value of {B} variables in pData are also copied to pvecback.*/ - class_call(background_functions(pba,pData+i*pba->bi_size, pba->long_info, pvecback), - pba->error_message, - pba->error_message); - - /* -> compute growth functions (valid in dust universe) */ - - /* Normalise D(z=0)=1 and construct f = D_prime/(aHD) */ - pvecback[pba->index_bg_D] = pData[i*pba->bi_size+pba->index_bi_D]/pData[(pba->bt_size-1)*pba->bi_size+pba->index_bi_D]; - pvecback[pba->index_bg_f] = pData[i*pba->bi_size+pba->index_bi_D_prime]/ - (pData[i*pba->bi_size+pba->index_bi_D]*pvecback[pba->index_bg_a]*pvecback[pba->index_bg_H]); - - /* -> write in the table */ - memcopy_result = memcpy(pba->background_table + i*pba->bg_size,pvecback,pba->bg_size*sizeof(double)); - - class_test(memcopy_result != pba->background_table + i*pba->bg_size, - pba->error_message, - "cannot copy data back to pba->background_table"); - } - - /** - free the growTable with gt_free() */ - - class_call(gt_free(&gTable), - gTable.error_message, - pba->error_message); + pba->background_table[index_loga*pba->bg_size+pba->index_bg_ang_distance] = comoving_radius/(1.+pba->z_table[index_loga]); + pba->background_table[index_loga*pba->bg_size+pba->index_bg_lum_distance] = comoving_radius*(1.+pba->z_table[index_loga]); + } /** - fill tables of second derivatives (in view of spline interpolation) */ class_call(array_spline_table_lines(pba->z_table, @@ -1933,471 +2089,54 @@ int background_solve( pba->error_message); class_call(array_spline_table_lines(pba->tau_table, + pba->bt_size, + pba->z_table, + 1, + pba->d2z_dtau2_table, + _SPLINE_EST_DERIV_, + pba->error_message), + pba->error_message, + pba->error_message); + + class_call(array_spline_table_lines(pba->loga_table, pba->bt_size, pba->background_table, pba->bg_size, - pba->d2background_dtau2_table, + pba->d2background_dloga2_table, _SPLINE_EST_DERIV_, pba->error_message), pba->error_message, pba->error_message); -/** - second loop over lines, overwrite derivatives that can't be analytically computed from background_functions - * Fill the derivatives of the Bellini-Sawicki functions in pvecback - * This is done just by overwriting the pvecback entries corresponding to the relevant indice - */ - - double * pvecback_derivs; - class_alloc(pvecback_derivs,pba->bg_size*sizeof(double),pba->error_message); - - for (i=0; i < pba->bt_size; i++) { - - // write the derivatives in the structure - class_call(array_derivate_spline(pba->tau_table, // x_array - pba->bt_size, // int n_lines - pba->background_table, // array - pba->d2background_dtau2_table, // double * array_splined - pba->bg_size, // n_columns - pba->tau_table[i], // double x -> tau - &last_index, // int* last_index // this is something for the interpolation to talk to each other when using a loop - pvecback_derivs, // double * result - pba->bg_size, //result_size, from 1 to n_columns - pba->error_message), - pba->error_message, - pba->error_message); - - /* -> write in the table (overwrite the alpha time derivatives, which were set to nan in background_functions) - * direction of copy: add the corresponding indices to the coordinates - * thing to be copied: the address (&) to the element of pvecback corresponding to the index we want - * size: just a single double number - * -> repeat for all necessary quantities - */ - if (pba->has_smg == _TRUE_){ - - //Need to update pvecback - class_call(background_at_tau(pba, - pba->tau_table[i], - pba->long_info, - pba->inter_normal, - &last_index, //should be no problem to use the same one as for the derivatives - pvecback), - pba->error_message, - pba->error_message); - - /*NOTE: here we compute the derivatives of quantities coputed in background_gravity_functions during the integration. - * for quantities that depend on these derivatives (e.g. the gamma_i functions determining the effective mass) - * there is an additional loop at the end of background_solve - */ - - // Kineticity' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_kineticity_prime_smg, - &pvecback_derivs[pba->index_bg_kineticity_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_kineticity_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //Braiding' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_braiding_prime_smg, - &pvecback_derivs[pba->index_bg_braiding_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_braiding_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //Planck mass run rate' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_mpl_running_prime_smg, - &pvecback_derivs[pba->index_bg_mpl_running_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_mpl_running_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //Tensor excess' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_tensor_excess_prime_smg, - &pvecback_derivs[pba->index_bg_tensor_excess_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_tensor_excess_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //H'' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_H_prime_prime, - &pvecback_derivs[pba->index_bg_H_prime], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_H_prime_prime, + if (pba->has_smg == _TRUE_) { + class_call_except(background_solve_smg(pba, pvecback, pvecback_integration), pba->error_message, - "cannot copy data back to pba->background_table"); - - // p_tot_wo_smg' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_p_tot_wo_prime_smg, - &pvecback_derivs[pba->index_bg_p_tot_wo_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_p_tot_wo_prime_smg, pba->error_message, - "cannot copy data back to pba->background_table"); - - // p_smg' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_p_prime_smg, - &pvecback_derivs[pba->index_bg_p_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_p_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //D' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_kinetic_D_prime_smg, - &pvecback_derivs[pba->index_bg_kinetic_D_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_kinetic_D_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - // Planck's mass running - // Only need to compute it if neither self consistent field evolution nor evolving M_pl in terms of alpha_M - // check equation 3.3 of Bellini & Sawicki 2014 - - if (pba->field_evolution_smg == _FALSE_ && pba->M_pl_evolution_smg == _FALSE_){ - - double alpha_M = pvecback_derivs[pba->index_bg_delta_M2_smg]/pvecback[pba->index_bg_delta_M2_smg]/pvecback[pba->index_bg_a]/pvecback[pba->index_bg_H]; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_mpl_running_smg, - &alpha_M, //write using the address - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_mpl_running_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - } - - double a = pvecback[pba->index_bg_a]; - double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; - double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; - double p_smg = pvecback[pba->index_bg_p_smg]; - double rho_smg = pvecback[pba->index_bg_rho_smg]; - - if(pba->background_verbose > 15 && fabs(1. - pvecback[pba->index_bg_H_prime]/pvecback_derivs[pba->index_bg_H])>1e-8) - printf("a = %g, (delta H')/H' = %g \n", a, 1. - pvecback[pba->index_bg_H_prime]/pvecback_derivs[pba->index_bg_H]); - - - //TODO: clean up this!! - // speed of sound, wanted for output - - double H = pvecback[pba->index_bg_H]; - double H_p = pvecback[pba->index_bg_H_prime]; - - double M2 = pvecback[pba->index_bg_M2_smg]; - double kin = pvecback[pba->index_bg_kineticity_smg]; - double bra = pvecback[pba->index_bg_braiding_smg]; - double run = pvecback[pba->index_bg_mpl_running_smg]; - double ten = pvecback[pba->index_bg_tensor_excess_smg]; - double dM2 = pvecback[pba->index_bg_delta_M2_smg]; - - //need to update the time derivatives of the interesting functions - - double kin_p = pvecback_derivs[pba->index_bg_kineticity_smg]; - double bra_p = pvecback_derivs[pba->index_bg_braiding_smg]; - double run_p = pvecback_derivs[pba->index_bg_mpl_running_smg]; - double ten_p = pvecback_derivs[pba->index_bg_tensor_excess_smg]; - double p_tot_p = pvecback_derivs[pba->index_bg_p_tot_wo_smg]; - double p_smg_p = pvecback_derivs[pba->index_bg_p_smg]; - double D = pvecback[pba->index_bg_kinetic_D_smg]; - - pvecback[pba->index_bg_lambda_1_smg] = (run + (-1.)*ten)*(-3.)*bra + (1. + ten)*kin; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_1_smg, - &pvecback[pba->index_bg_lambda_1_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_1_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_2_smg] = (- 2.*dM2 + bra*M2)*(rho_tot + p_tot)*(-3.)/2.*pow(H,-2)*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*(-3.)/2.*pow(H,-2) + pow(H,-1)*bra_p*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_2_smg, - &pvecback[pba->index_bg_lambda_2_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_2_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_3_smg] = (2. + run)*(-1.)/2.*D + (-3.)/4.*bra*pvecback[pba->index_bg_lambda_2_smg]; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_3_smg, - &pvecback[pba->index_bg_lambda_3_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_3_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_4_smg] = kin*pvecback[pba->index_bg_lambda_2_smg] + (2.*kin*bra_p + (-1.)*bra*kin_p)*(-1.)*pow(H,-1)*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_4_smg, - &pvecback[pba->index_bg_lambda_4_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_4_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_5_smg] = (bra + 2.*run + (-2.)*ten + bra*ten)*3./2.*bra + (run + (-1.)*ten)*D + 3./2.*bra*pvecback[pba->index_bg_lambda_2_smg]; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_5_smg, - &pvecback[pba->index_bg_lambda_5_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_5_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_6_smg] = 3./2.*(((9./2.*bra + kin)*dM2*pow(M2,-1) + (-9.)/4.*pow(bra,2) - bra*kin/2. + D*run)*pow(rho_tot,2) + ((9.*bra + kin)*dM2*pow(M2,-1) + (-9.)/2.*pow(bra,2) - bra*kin/2. + D*run)*rho_tot*p_tot + 9./2.*bra*(dM2 - M2*bra/2.)*pow(M2,-1)*pow(p_tot,2) + (kin*dM2*pow(M2,-1) - bra*kin/2. + D*run)*(rho_tot + p_tot)*rho_smg + ((kin - bra*kin/2. + D*run)*rho_smg + ((9.*bra + kin)*(2. - bra)/2. + D*run - 9./2.*bra*pow(M2,-1))*rho_tot + 9.*bra*(1. - bra/2. - pow(M2,-1)/2.)*p_tot)*(rho_smg + p_smg) + 9./2.*bra*(1. - bra/2.)*pow(rho_smg + p_smg,2))*pow(H,-4) + (((9.*bra*(rho_tot + p_tot) - 2.*kin*(rho_tot + rho_smg)) + (rho_smg + p_smg)*9.*bra)*bra_p/2. + (rho_tot + rho_smg)*bra*kin_p + (2.*dM2*kin + 3.*pow(bra,2)*M2)*3./2.*pow(M2,-1)*p_tot_p + 3.*D*p_smg_p)*pow(H,-3)*pow(a,-1)/2.; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_6_smg, - &pvecback[pba->index_bg_lambda_6_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_6_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_7_smg] = ((-2.) + bra)*(4. + run)*(-1.)/8.*D + ((-2.)*(2. + dM2) + bra*M2)*(rho_tot + p_tot)*3./16.*pow(H,-2)*D*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*3./16.*pow(H,-2)*D + (D*bra_p + ((-2.) + bra)*((-3.)*bra*bra_p + (-1.)*kin_p))*1./8.*pow(H,-1)*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_7_smg, - &pvecback[pba->index_bg_lambda_7_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_7_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_8_smg] = ((-2.) + bra)*(4. + run)*1./8.*D + 3./8.*(rho_tot + p_tot)*(((-9.)*bra + (-2.)*D*(3. + 2.*dM2 - bra*M2))*(-1.)/2. + (-rho_tot*dM2 - (p_smg + rho_smg*M2))*9.*pow(H,-2)*pow(M2,-1))*pow(H,-2)*pow(M2,-1) + ((-2.) + bra)*(rho_smg + p_smg)*(-3.)/8.*pow(H,-2)*D + (-2.*dM2 + bra*M2)*(rho_tot + p_tot)*(p_tot + p_smg)*27./16.*pow(H,-4)*pow(M2,-2) + ((-9.)*(rho_tot + p_tot) + (-6.)*bra*pow(H,2)*M2 + 3.*pow(bra,2)*pow(H,2)*M2 + (-1.)*pow(H,2)*D*M2)*1./8.*pow(H,-3)*pow(M2,-1)*bra_p*pow(a,-1) + ((-2.) + bra)*1./8.*pow(H,-1)*kin_p*pow(a,-1) + ((-2.) + bra)*9./16.*bra*pow(H,-3)*pow(M2,-1)*p_tot_p*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_8_smg, - &pvecback[pba->index_bg_lambda_8_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_8_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_9_smg] = ((-2.) + 3.*bra)*D + 2.*pvecback[pba->index_bg_lambda_3_smg] + (D + (-1.)*pvecback[pba->index_bg_lambda_2_smg])*(((-3.) + 2.*bra)*(-3.)/2. + (p_tot + p_smg)*9./2.*pow(H,-2)) + (3.*bra*bra_p + kin_p)*(-1.)*pow(H,-1)*pow(a,-1) + (-9.)/2.*bra*pow(H,-3)*pow(M2,-1)*p_tot_p*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_9_smg, - &pvecback[pba->index_bg_lambda_9_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_9_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_10_smg] = (D + (-1.)*pvecback[pba->index_bg_lambda_3_smg])*(-2.) + (3.*bra*dM2 + kin*M2)*(rho_tot + p_tot)*3.*pow(H,-2)*pow(M2,-1) + (3.*bra + kin)*(rho_smg + p_smg)*3.*pow(H,-2) + (-1.)*pow(H,-1)*kin_p*pow(a,-1); - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_10_smg, - &pvecback[pba->index_bg_lambda_10_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_10_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_lambda_11_smg] = bra + 2.*run - (2.-bra)*ten; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_11_smg, - &pvecback[pba->index_bg_lambda_11_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_11_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_cs2num_smg] = ((-2.) + bra)*((-1.)*bra + (-2.)*run + 2.*ten + (-1.)*bra*ten)*1./2. + pvecback[pba->index_bg_lambda_2_smg]; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_cs2num_smg, - &pvecback[pba->index_bg_cs2num_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_cs2num_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - pvecback[pba->index_bg_cs2_smg] = pvecback[pba->index_bg_cs2num_smg]/D; - - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_cs2_smg, - &pvecback[pba->index_bg_cs2_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_cs2_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - - /* Here we update the minimum values of the stability quantities - * test will be performed based on the lowest values - */ - if (a > pba->a_min_stability_test_smg && pba->parameters_tuned_smg == _TRUE_){ - if (D < pba->min_D_smg){ - pba->min_D_smg = D; - } - - if (pvecback[pba->index_bg_cs2_smg] <= pba->min_cs2_smg){ - pba->min_cs2_smg = pvecback[pba->index_bg_cs2_smg]; - } - - if (pvecback[pba->index_bg_M2_smg] < pba->min_M2_smg){ - pba->min_M2_smg = pvecback[pba->index_bg_M2_smg]; - } - - if (pvecback[pba->index_bg_tensor_excess_smg] + 1. < pba->min_ct2_smg){ - pba->min_ct2_smg = 1. + pvecback[pba->index_bg_tensor_excess_smg]; - } - - if (pvecback[pba->index_bg_braiding_smg] < pba->min_bra_smg){ - pba->min_bra_smg = pvecback[pba->index_bg_braiding_smg]; - } - if (pvecback[pba->index_bg_braiding_smg] > pba->max_bra_smg){ - pba->max_bra_smg = pvecback[pba->index_bg_braiding_smg]; - } - } - - }//end of has_smg - - } - - /* Horndeski stability tests - * only if not overriden - * and model is tuned! - */ - if ((pba->has_smg == _TRUE_) && - (pba->parameters_tuned_smg == _TRUE_) && - (pba->skip_stability_tests_smg == _FALSE_)){ - - class_test_except(pba->min_D_smg <= -fabs(pba->D_safe_smg), - pba->error_message, - free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), - "Ghost instability for scalar field perturbations with minimum D=%g \n",pba->min_D_smg); - class_test_except(pba->min_cs2_smg < -fabs(pba->cs2_safe_smg), - pba->error_message, - free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), - "Gradient instability for scalar field perturbations with minimum c_s^2=%g \n",pba->min_cs2_smg); - class_test_except(pba->min_M2_smg < -fabs(pba->M2_safe_smg), - pba->error_message, - free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), - "Ghost instability for metric tensor perturbations with minimum M*^2=%g \n",pba->min_M2_smg); - class_test_except(pba->min_ct2_smg < -fabs(pba->ct2_safe_smg), - pba->error_message, - free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), - "Gradient instability for metric tensor perturbations with minimum c_t^2=%g \n",pba->min_ct2_smg); - - } - - /* Yet another (third!) loop to make sure the background table makes sense - */ - for (i=0; i < pba->bt_size; i++) { - - if (pba->has_smg == _TRUE_){ - - - //write the derivatives in the structure - class_call(array_derivate_spline(pba->tau_table, // x_array - pba->bt_size, // int n_lines - pba->background_table, // array - pba->d2background_dtau2_table, // double * array_splined - pba->bg_size, // n_columns - pba->tau_table[i], // double x -> tau - &last_index, // int* last_index // this is something for the interpolation to talk to each other when using a loop - pvecback_derivs, // double * result - pba->bg_size, //result_size, from 1 to n_columns - pba->error_message), - pba->error_message, - pba->error_message); - - //cs2num' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_cs2num_prime_smg, - &pvecback_derivs[pba->index_bg_cs2num_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_cs2num_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //lambda_2' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_2_prime_smg, - &pvecback_derivs[pba->index_bg_lambda_2_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_2_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //lambda_8' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_8_prime_smg, - &pvecback_derivs[pba->index_bg_lambda_8_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_8_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //lambda_9' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_9_prime_smg, - &pvecback_derivs[pba->index_bg_lambda_9_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_9_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - //lambda_11' - memcopy_result = memcpy(pba->background_table + i*pba->bg_size + pba->index_bg_lambda_11_prime_smg, - &pvecback_derivs[pba->index_bg_lambda_11_smg], - 1*sizeof(double)); - class_test(memcopy_result != pba->background_table + i*pba->bg_size + pba->index_bg_lambda_11_prime_smg, - pba->error_message, - "cannot copy data back to pba->background_table"); - - } - - - class_call(background_at_tau(pba, - pba->tau_table[i], - pba->long_info, - pba->inter_normal, - &last_index, //should be no problem to use the same one as for the derivatives - pvecback), - pba->error_message, - pba->error_message); - - // check if any of the values becomes nan - int j = 0; - while (j < pba->bg_size){ - class_test_except(isnan(pvecback[j]) && (pba->parameters_tuned_smg == _TRUE_), - pba->error_message, - free(pvecback_derivs);free(pvecback);free(pvecback_integration);background_free(pba), - "pvecback[%i] = %e at a = %e in background!",j,pvecback[j],pvecback[pba->index_bg_a]); - j++; - } - + free(used_in_output);); } - free(pvecback_derivs); //free the structure + /** - compute remaining "related parameters" */ + /** - so-called "effective neutrino number", computed at earliest + time in interpolation table. This should be seen as a + definition: Neff is the equivalent number of + instantaneously-decoupled neutrinos accounting for the + radiation density, beyond photons */ - /** - compute remaining "related parameters" - * - so-called "effective neutrino number", computed at earliest - time in interpolation table. This should be seen as a - definition: Neff is the equivalent number of - instantaneously-decoupled neutrinos accounting for the - radiation density, beyond photons */ pba->Neff = (pba->background_table[pba->index_bg_Omega_r] *pba->background_table[pba->index_bg_rho_crit] -pba->background_table[pba->index_bg_rho_g]) /(7./8.*pow(4./11.,4./3.)*pba->background_table[pba->index_bg_rho_g]); - /** - done */ + /** - send information to standard output */ if (pba->background_verbose > 0) { printf(" -> age = %f Gyr\n",pba->age); printf(" -> conformal age = %f Mpc\n",pba->conformal_age); + printf(" -> N_eff = %g (summed over all species that are non-relativistic at early times) \n",pba->Neff); } if (pba->background_verbose > 2) { - if ((pba->has_dcdm == _TRUE_)&&(pba->has_dr == _TRUE_)){ + if ((pba->has_dcdm == _TRUE_)&&(pba->has_dr == _TRUE_)) { printf(" Decaying Cold Dark Matter details: (DCDM --> DR)\n"); printf(" -> Omega0_dcdm = %f\n",pba->Omega0_dcdm); printf(" -> Omega0_dr = %f\n",pba->Omega0_dr); @@ -2405,27 +2144,53 @@ int background_solve( pba->Omega0_dr+pba->Omega0_dcdm,pba->Omega0_dcdmdr); printf(" -> Omega_ini_dcdm/Omega_b = %f\n",pba->Omega_ini_dcdm/pba->Omega0_b); } - if (pba->has_smg == _TRUE_){ - printf(" -> Omega_smg = %f, wanted %f ",pvecback[pba->index_bg_rho_smg]/pvecback[pba->index_bg_rho_crit], pba->Omega0_smg); - if(pba->has_lambda == _TRUE_) - printf(", Omega_Lambda = %f", pba->Omega0_lambda); - printf("\n"); - if (pba->background_verbose > 3) { - printf("Minimal stability values: cs2 = %g, ct2 = %g, D = %g, M2 = %g \n",pba->min_cs2_smg,pba->min_ct2_smg,pba->min_D_smg,pba->min_M2_smg); + if (pba->has_scf == _TRUE_) { + printf(" Scalar field details:\n"); + printf(" -> Omega_scf = %g, wished %g\n", + pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_rho_scf]/pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_rho_crit], pba->Omega0_scf); + if (pba->has_lambda == _TRUE_) { + printf(" -> Omega_Lambda = %g, wished %g\n", + pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_rho_lambda]/pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_rho_crit], pba->Omega0_lambda); } - - if (pba->field_evolution_smg == _TRUE_){ - pba->xi_0_smg = pvecback_integration[pba->index_bi_phi_prime_smg]*pvecback[pba->index_bg_H]/pow(pba->H0,2); - pba->phi_0_smg = pvecback_integration[pba->index_bi_phi_smg]; + printf(" -> parameters: [lambda, alpha, A, B] = \n"); + printf(" ["); + for (index_scf=0; index_scfscf_parameters_size-1; index_scf++) { + printf("%.3f, ",pba->scf_parameters[index_scf]); } + printf("%.3f]\n",pba->scf_parameters[pba->scf_parameters_size-1]); + } + if (pba->has_smg == _TRUE_) { + class_call( + background_print_stdout_smg(pba, pvecback, pvecback_integration), + pba->error_message, + pba->error_message + ); + } + } - background_gravity_parameters(pba); - + /** - store information in the background structure */ + pba->Omega0_m = pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_Omega_m]; + pba->Omega0_r = pba->background_table[(pba->bt_size-1)*pba->bg_size+pba->index_bg_Omega_r]; + pba->Omega0_de = 1. - (pba->Omega0_m + pba->Omega0_r + pba->Omega0_k); + + /* Compute the density fraction of non-free-streaming matter (in the minimal LambdaCDM model, this would be just Omega_b + Omega_cdm). This definition takes into account interating, decaying and warm dark matter, but it would need to be refined if some part of the matter component was modelled by the fluid (fld) or the scalar field (scf). */ + pba->Omega0_nfsm = pba->Omega0_b; + if (pba->has_cdm == _TRUE_) + pba->Omega0_nfsm += pba->Omega0_cdm; + if (pba->has_idm == _TRUE_) + pba->Omega0_nfsm += pba->Omega0_idm; + if (pba->has_dcdm == _TRUE_) + pba->Omega0_nfsm += pba->Omega0_dcdm; + for (n_ncdm=0;n_ncdmN_ncdm; n_ncdm++) { + /* here we define non-free-streaming matter as: any non-relatistic species with a dimensionless ratio m/T bigger than a threshold ppr->M_nfsm_threshold; if this threshold is of the order of 10^4, this corresponds to the condition "becoming non-relativistic during radiation domination". Beware: this definition won't work in the case in which the user passes a customised p.s.d. for ncdm, such that M_ncdm is not defined. */ + if (pba->M_ncdm[n_ncdm] > ppr->M_nfsm_threshold) { + pba->Omega0_nfsm += pba->Omega0_ncdm[n_ncdm]; } } free(pvecback); free(pvecback_integration); + free(used_in_output); return _SUCCESS_; @@ -2438,6 +2203,7 @@ int background_solve( * @param pba Input: pointer to background structure * @param pvecback Input: vector of background quantities used as workspace * @param pvecback_integration Output: vector of background quantities to be integrated, returned with proper initial values + * @param loga_ini Output: value of loga (in fact with our conventions log(a/a_0)) at initial time * @return the error status */ @@ -2445,7 +2211,8 @@ int background_initial_conditions( struct precision *ppr, struct background *pba, double * pvecback, /* vector with argument pvecback[index_bg] (must be already allocated, normal format is sufficient) */ - double * pvecback_integration /* vector with argument pvecback_integration[index_bi] (must be already allocated with size pba->bi_size) */ + double * pvecback_integration, /* vector with argument pvecback_integration[index_bi] (must be already allocated with size pba->bi_size) */ + double * loga_ini ) { /** Summary: */ @@ -2461,15 +2228,13 @@ int background_initial_conditions( double scf_lambda; double rho_fld_today; double w_fld,dw_over_da_fld,integral_fld; - double phi_scale, V_scale,p1,p2,p3; //smg related variables - int i = 0; /** - fix initial value of \f$ a \f$ */ - a = ppr->a_ini_over_a_today_default * pba->a_today; + a = ppr->a_ini_over_a_today_default; /** If we have ncdm species, perhaps we need to start earlier - than the standard value for the species to be relativistic. - This could happen for some WDM models. + than the standard value for the species to be relativistic. + This could happen for some WDM models. */ if (pba->has_ncdm == _TRUE_) { @@ -2481,64 +2246,69 @@ int background_initial_conditions( for (n_ncdm=0; n_ncdmN_ncdm; n_ncdm++) { - class_call(background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], - pba->w_ncdm_bg[n_ncdm], - pba->q_size_ncdm_bg[n_ncdm], - pba->M_ncdm[n_ncdm], - pba->factor_ncdm[n_ncdm], - pba->a_today/a-1.0, - NULL, - &rho_ncdm, - &p_ncdm, - NULL, - NULL), + class_call(background_ncdm_momenta(pba->q_ncdm_bg[n_ncdm], + pba->w_ncdm_bg[n_ncdm], + pba->q_size_ncdm_bg[n_ncdm], + pba->M_ncdm[n_ncdm], + pba->factor_ncdm[n_ncdm], + 1./a-1.0, + NULL, + &rho_ncdm, + &p_ncdm, + NULL, + NULL), pba->error_message, pba->error_message); - rho_ncdm_rel_tot += 3.*p_ncdm; - if (fabs(p_ncdm/rho_ncdm-1./3.)>ppr->tol_ncdm_initial_w) - is_early_enough = _FALSE_; + rho_ncdm_rel_tot += 3.*p_ncdm; + if (fabs(p_ncdm/rho_ncdm-1./3.)>ppr->tol_ncdm_initial_w) { + is_early_enough = _FALSE_; + } + } + if (is_early_enough == _TRUE_) { + break; + } + else { + a *= _SCALE_BACK_; } - if (is_early_enough == _TRUE_) - break; - else - a *= _SCALE_BACK_; } class_test(counter == _MAX_IT_, - pba->error_message, - "Search for initial scale factor a such that all ncdm species are relativistic failed."); + pba->error_message, + "Search for initial scale factor a such that all ncdm species are relativistic failed."); } - pvecback_integration[pba->index_bi_a] = a; - /* Set initial values of {B} variables: */ Omega_rad = pba->Omega0_g; - if (pba->has_ur == _TRUE_) + if (pba->has_ur == _TRUE_) { Omega_rad += pba->Omega0_ur; - rho_rad = Omega_rad*pow(pba->H0,2)/pow(a/pba->a_today,4); - if (pba->has_ncdm == _TRUE_){ + } + if (pba->has_idr == _TRUE_) { + Omega_rad += pba->Omega0_idr; + } + rho_rad = Omega_rad*pow(pba->H0,2)/pow(a,4); + if (pba->has_ncdm == _TRUE_) { /** - We must add the relativistic contribution from NCDM species */ rho_rad += rho_ncdm_rel_tot; } - if (pba->has_dcdm == _TRUE_){ + if (pba->has_dcdm == _TRUE_) { /* Remember that the critical density today in CLASS conventions is H0^2 */ pvecback_integration[pba->index_bi_rho_dcdm] = - pba->Omega_ini_dcdm*pba->H0*pba->H0*pow(pba->a_today/a,3); + pba->Omega_ini_dcdm*pba->H0*pba->H0*pow(a,-3); if (pba->background_verbose > 3) - printf("Density is %g. a_today=%g. Omega_ini=%g\n",pvecback_integration[pba->index_bi_rho_dcdm],pba->a_today,pba->Omega_ini_dcdm); + printf("Density is %g. Omega_ini=%g\n",pvecback_integration[pba->index_bi_rho_dcdm],pba->Omega_ini_dcdm); } - if (pba->has_dr == _TRUE_){ - if (pba->has_dcdm == _TRUE_){ + if (pba->has_dr == _TRUE_) { + if (pba->has_dcdm == _TRUE_) { /** - f is the critical density fraction of DR. The exact solution is: * - * `f = -Omega_rad+pow(pow(Omega_rad,3./2.)+0.5*pow(a/pba->a_today,6)*pvecback_integration[pba->index_bi_rho_dcdm]*pba->Gamma_dcdm/pow(pba->H0,3),2./3.);` + * `f = -Omega_rad+pow(pow(Omega_rad,3./2.)+0.5*pow(a,6)*pvecback_integration[pba->index_bi_rho_dcdm]*pba->Gamma_dcdm/pow(pba->H0,3),2./3.);` * * but it is not numerically stable for very small f which is always the case. * Instead we use the Taylor expansion of this equation, which is equivalent to * ignoring f(a) in the Hubble rate. */ - f = 1./3.*pow(a/pba->a_today,6)*pvecback_integration[pba->index_bi_rho_dcdm]*pba->Gamma_dcdm/pow(pba->H0,3)/sqrt(Omega_rad); - pvecback_integration[pba->index_bi_rho_dr] = f*pba->H0*pba->H0/pow(a/pba->a_today,4); + f = 1./3.*pow(a,6)*pvecback_integration[pba->index_bi_rho_dcdm]*pba->Gamma_dcdm/pow(pba->H0,3)/sqrt(Omega_rad); + pvecback_integration[pba->index_bi_rho_dr] = f*pba->H0*pba->H0/pow(a,4); } else{ /** There is also a space reserved for a future case where dr is not sourced by dcdm */ @@ -2546,248 +2316,7 @@ int background_initial_conditions( } } -/** - fix initial value of modified gravity - * run over all possible model cases - */ - if(pba->has_smg == _TRUE_){ - - pba->initial_conditions_set_smg = _FALSE_; - - //default value, can override later - if (pba->M_pl_evolution_smg ==_TRUE_){ - pvecback_integration[pba->index_bi_delta_M_pl_smg] = 0.; - } - - switch (pba->gravity_model_smg) { - - case quintessence_monomial: - pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[3]; - pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[2]*pba->H0; - break; - - case quintessence_tracker: - - /* Tracker quintessence at early times - * V = H0^2/h^2* V0 * phi^-n exp(lambda*phi^m) - * - * log(V/V0) = lambda phi^m - n log (phi) - * - * choose phi_ini so V = P_ini*sqrt(rho_rad) - * choose phi_prime_ini so K = K_ini*sqrt(rho_rad) - * - * initial guess: phi_ini = (log(rho_rad/H0^2)/lambda)^(1/m)) - * then adjust to the right potential using Newton's method - * - */ - - p1 = pba->parameters_smg[3];// n - p2 = pba->parameters_smg[4]; //m - p3 = pba->parameters_smg[5]; //lambda -// phi_scale = gsl_sf_lambert_W0(10); - - //initial guess - phi_scale = pow(log(rho_rad/pba->parameters_smg[2]/pow(pba->H0/pba->h,2)/p3), 1./pba->parameters_smg[4]); - - //log of the potential - V_scale =100;//start off at a high value - - //do a newton root finding - while (i < 100){ - - V_scale = p3*pow(phi_scale,p2) - p1*log(phi_scale) - pba->parameters_smg[1]*log(rho_rad/pba->parameters_smg[2]/pow(pba->H0/pba->h,2)); - - if (fabs(V_scale) < 1e-5) - break; - - phi_scale -= (V_scale)/((p3*p2*pow(phi_scale,p2)-p1)/phi_scale); - i++; - } -// printf("V_scale %e, i %i \n",V_scale,i); - - pvecback_integration[pba->index_bi_phi_smg] = phi_scale; - pvecback_integration[pba->index_bi_phi_prime_smg] = -a*sqrt(pba->parameters_smg[0]*2*rho_rad); - - break; - - case alpha_attractor_canonical: - // Note: we are using as input parameters f = phi/sqrt(alpha) - pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[1]*sqrt(pba->parameters_smg[2]); - pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[0]*pba->H0; - break; - - - /* Attractor IC: H\dot\phi = constant = H_0^2 \xi - * phi_prime = xi*a*H_0^2/H (\dot\phi = phi_prime/a) - * assumes H = sqrt(rho_rad) initially - * - * if attractor ICs change xi to fit some attractor value n = 0 with - * - * n/H0 = xi(c2 - 6c3 xi + 18c4 xi^2 + 5c5 xi^4) - * - * This is done at the level of background_initial_conditions - * (this function does not seem to get access to the parameter being varied!) - * - * We pick the nonzero xi closest to the user's given value! - */ - - case galileon: - - if(pba->attractor_ic_smg == _TRUE_){ - - double xi = pba->parameters_smg[0]; - double c2 = pba->parameters_smg[2]; - double c3 = pba->parameters_smg[3]; - double c4 = pba->parameters_smg[4]; - double c5 = pba->parameters_smg[5]; - - double x[3]; - double Omega_smg; - int complex; - int i; - double mindiff = 1e100; - - double xi_start = xi; - - //Don't use poly_3_split, is bad unless c3 tiny! - rf_solve_poly_3(5.*c5,18.*c4,-6.*c3,1.*c2,x,&complex); - - if (pba->background_verbose > 2) - { - printf(" galileon attractor \n"); - printf(" c5 = %.2e, c4 = %.2e, c3 = %.3e, c2 = %.3e \n ",c5,c4,c3,c2); - printf(" Solutions (complex = %i): \n",complex); - } - - for (i=0; i<3;i+=1){ - Omega_smg = pow(x[i],2)*(c2/6. -2.*c3*x[i] +15./2.*c4*pow(x[i],2) + 7./3.*c5*pow(x[i],3)); - if (x[i]!=0 && fabs(x[i]-xi)background_verbose > 2) - printf(" xi_%i = %e, Omega_* = %.2e \n",i, x[i],Omega_smg); - } - if (pba->background_verbose > 2) - printf(" Dealer's pick: xi = %e (wish = %e) \n",xi_start,xi); - pvecback_integration[pba->index_bi_phi_prime_smg] = a*xi_start*pow(pba->H0,2)/sqrt(rho_rad); - } - else - {/* non attractor ICs */ - pvecback_integration[pba->index_bi_phi_prime_smg] = a*pba->parameters_smg[0]*pow(pba->H0,2)/sqrt(rho_rad); - } - //phi is irrelevant - pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[6]; - - break; - /* BD IC: note that the field value is basically the planck mass, - * so its initial value should be around 1 - * the derivative we take to be zero, but this can be extended - */ - case brans_dicke: - pvecback_integration[pba->index_bi_phi_smg] = pba->parameters_smg[2]; - pvecback_integration[pba->index_bi_phi_prime_smg] = pba->parameters_smg[3]; - break; - - case nkgb: - { - /* Action is - - -X + 1/n * g^[(2n-1)/2] Lambda (X/Lambda^4)^n box(phi) - - with Lambda^(4n-1)=MPl^(2n-1)*H0^2n - - g was picked like this so that it approx. remains g*Omega_smg0 ~ O(1) for all n - - Since the energy density in KGB must be >0, then -inf0 - The alpha descrition breaks down for phidot=0, so we assume this is never crossed - - This all implies that phidot on the attractor has the same sign as g, and therefore - phi dot always has the same sign as g. - - Rshift0 = (phidot0*J0)/rho_smg0, i.e. fraction of the DE energy-density today in the shift-charge as opposed to the vacuum part - - */ - - double g = pba->parameters_smg[0]; - double n = pba->parameters_smg[1]; - double Rshift0 = pba->parameters_smg[2]; - - double H = sqrt(rho_rad); //TODO: for low n -> need to solve tracker + Constraint simultaneously. Increasing H (e.g. double H = 10*sqrt(rho_rad);) works for n~0.65. - double H0 = pba->H0; - - double signg = copysign(1.,g); - g=fabs(g); - double Rshiftcomb = (2.-Rshift0)/(2.*(1.-Rshift0)); - - double phidot0=0., phidot_attr_init= 0., charge_init=0., phidot_init=0.; - - phidot0 = signg * sqrt(2./g)*H0 * pow(Rshiftcomb/(3*sqrt(2)),1./(2.*n-1.)); // value of phidot today, if xi0=0, then this is attractor - phidot_attr_init = signg * sqrt(2./g)*H0 * pow(H0/(3.*sqrt(2.)*H),1./(2.*n-1.)); // value of phidot on attractor at initial time - charge_init = phidot0*Rshift0/(2*(1-Rshift0))*pow(a,-3); // implied value of required shift charge initially - - if(fabs(charge_init/phidot_attr_init)<1.){ - /* test if initial shift charge is large c.f. the on-attractor phidot. If no, we are nearly on attractor - at initial time anyway, so just correct the attractor solution slightly - if yes, then we are off-attractor and then we have approximate analytic solution in limit of - n_init >> phidot. For the range n_init ~ phidot just use the solution for large shift charge. - by the late universe, this will be an irrelevant error. */ - - phidot_init = phidot_attr_init + charge_init/(2.*n-1.); - } - else{ - phidot_init = signg * pow( fabs(charge_init) * pow(fabs(phidot_attr_init),2.*n-1.),1./(2.*n)); - } - - pvecback_integration[pba->index_bi_phi_smg] = 0.0; //shift-symmetric, i.e. this is irrelevant - pvecback_integration[pba->index_bi_phi_prime_smg] = a*phidot_init ; - } - break; - - case propto_omega: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = pba->parameters_2_smg[4]-1.; - break; - - case propto_scale: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = pba->parameters_2_smg[4]-1.; - break; - - case constant_alphas: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = pba->parameters_2_smg[4]-1.; - break; - - case eft_alphas_power_law: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = pba->parameters_2_smg[0]*pow(a, pba->parameters_2_smg[4]); - break; - - case eft_gammas_power_law: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = pba->parameters_2_smg[0]*pow(a,pba->parameters_2_smg[4]) + pba->parameters_2_smg[3]*pow(a,pba->parameters_2_smg[7]); - break; - case eft_gammas_exponential: - pvecback_integration[pba->index_bi_delta_M_pl_smg] = exp(pba->parameters_2_smg[0]*pow(a,pba->parameters_2_smg[4])) + exp(pba->parameters_2_smg[3]*pow(a,pba->parameters_2_smg[7])) -2.; - break; - } - - if (pba->field_evolution_smg == _TRUE_){ - if (pba->background_verbose>3) - printf(" -> Initial conditions: phi = %e, phi' = %e \n",pvecback_integration[pba->index_bi_phi_smg],pvecback_integration[pba->index_bi_phi_prime_smg]); - - class_test_except(!isfinite(pvecback_integration[pba->index_bi_phi_smg]) || !isfinite(pvecback_integration[pba->index_bi_phi_smg]), - pba->error_message, - free(pvecback);free(pvecback_integration);background_free(pba), - "initial phi = %e phi_prime = %e -> check initial conditions", - pvecback_integration[pba->index_bi_phi_smg],pvecback_integration[pba->index_bi_phi_smg]); - } - if (pba->M_pl_evolution_smg == _TRUE_) - if (pba->background_verbose>3) - printf(" -> Initial conditions: delta_M_pl = %e \n",pvecback_integration[pba->index_bi_delta_M_pl_smg]); - - if (pba->rho_evolution_smg == _TRUE_){ - pvecback_integration[pba->index_bi_rho_smg] = pvecback[pba->index_bg_rho_smg]; - } - - }//end of smg - - if (pba->has_fld == _TRUE_){ + if (pba->has_fld == _TRUE_) { /* rho_fld today */ rho_fld_today = pba->Omega0_fld * pow(pba->H0,2); @@ -2796,10 +2325,10 @@ int background_initial_conditions( class_call(background_w_fld(pba,a,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, pba->error_message); /* Note: for complicated w_fld(a) functions with no simple - analytic integral, this is the place were you should compute - numerically the simple 1d integral [int_{a_ini}^{a_0} 3 - [(1+w_fld)/a] da] (e.g. with the Romberg method?) instead of - calling background_w_fld */ + analytic integral, this is the place were you should compute + numerically the simple 1d integral [int_{a_ini}^{a_0} 3 + [(1+w_fld)/a] da] (e.g. with the Romberg method?) instead of + calling background_w_fld */ /* rho_fld at initial time */ pvecback_integration[pba->index_bi_rho_fld] = rho_fld_today * exp(integral_fld); @@ -2814,64 +2343,76 @@ int background_initial_conditions( * - Check equations and signs. Sign of phi_prime? * - is rho_ur all there is early on? */ - if(pba->has_scf == _TRUE_){ + if (pba->has_scf == _TRUE_) { scf_lambda = pba->scf_parameters[0]; - if(pba->attractor_ic_scf == _TRUE_){ + if (pba->attractor_ic_scf == _TRUE_) { pvecback_integration[pba->index_bi_phi_scf] = -1/scf_lambda* log(rho_rad*4./(3*pow(scf_lambda,2)-12))*pba->phi_ini_scf; - if (3.*pow(scf_lambda,2)-12. < 0){ + if (3.*pow(scf_lambda,2)-12. < 0) { /** - --> If there is no attractor solution for scf_lambda, assign some value. Otherwise would give a nan.*/ - pvecback_integration[pba->index_bi_phi_scf] = 1./scf_lambda;//seems to the work - if (pba->background_verbose > 0) - printf(" No attractor IC for lambda = %.3e ! \n ",scf_lambda); + pvecback_integration[pba->index_bi_phi_scf] = 1./scf_lambda;//seems to do the work + if (pba->background_verbose > 0) { + printf(" No attractor IC for lambda = %.3e ! \n ",scf_lambda); + } } - pvecback_integration[pba->index_bi_phi_prime_scf] = 2*pvecback_integration[pba->index_bi_a]* - sqrt(V_scf(pba,pvecback_integration[pba->index_bi_phi_scf]))*pba->phi_prime_ini_scf; + pvecback_integration[pba->index_bi_phi_prime_scf] = 2.*a*sqrt(V_scf(pba,pvecback_integration[pba->index_bi_phi_scf]))*pba->phi_prime_ini_scf; } - else{ + else { printf("Not using attractor initial conditions\n"); /** - --> If no attractor initial conditions are assigned, gets the provided ones. */ pvecback_integration[pba->index_bi_phi_scf] = pba->phi_ini_scf; pvecback_integration[pba->index_bi_phi_prime_scf] = pba->phi_prime_ini_scf; } + class_test(!isfinite(pvecback_integration[pba->index_bi_phi_scf]) || + !isfinite(pvecback_integration[pba->index_bi_phi_scf]), + pba->error_message, + "initial phi = %e phi_prime = %e -> check initial conditions", + pvecback_integration[pba->index_bi_phi_scf], + pvecback_integration[pba->index_bi_phi_scf]); } - /* Infer pvecback from pvecback_integration */ - class_call(background_functions(pba, pvecback_integration, pba->long_info, pvecback), - pba->error_message, - pba->error_message); + if (pba->has_smg == _TRUE_) { + class_call( + background_initial_conditions_smg(pba, a, pvecback, pvecback_integration,&rho_rad), + pba->error_message, + pba->error_message + ); + } + /* Infer pvecback from pvecback_integration */ + class_call(background_functions(pba, a, pvecback_integration, long_info, pvecback), + pba->error_message, + pba->error_message); - /* Final step is to set the initial Hubble rate, if it is to be evolved with the H' equation */ + /* Final step is to set the initial Hubble rate, if it is to be evolved with the H' equation (not only _smg!!) */ if (pba->hubble_evolution == _TRUE_){ - if(pba->has_smg == _TRUE_){ - pvecback_integration[pba->index_bi_H] = pvecback[pba->index_bg_H]; - } - else { - pvecback[pba->index_bg_H] = sqrt(pvecback[pba->index_bg_rho_crit]); - pvecback_integration[pba->index_bi_H] = sqrt(pvecback[pba->index_bg_rho_crit]); - } + if (pba->has_smg == _TRUE_) { + pvecback_integration[pba->index_bi_logH] = log(pvecback[pba->index_bg_H]); + } + else { + pvecback[pba->index_bg_H] = sqrt(pvecback[pba->index_bg_rho_crit]); + pvecback_integration[pba->index_bi_logH] = log(sqrt(pvecback[pba->index_bg_rho_crit])); + } } /* Declare the smg initial conditions as set */ - if (pba->has_smg) - pba->initial_conditions_set_smg = _TRUE_; + if (pba->has_smg) { + pba->initial_conditions_set_smg = _TRUE_; + } /* Just checking that our initial time indeed is deep enough in the radiation - dominated regime */ - class_test_except(fabs(pvecback[pba->index_bg_Omega_r]+pvecback[pba->index_bg_Omega_de]-1.) > ppr->tol_initial_Omega_r, - pba->error_message, - free(pvecback);free(pvecback_integration);background_free(pba), - "Omega_r = %e, Omega_de = %e, not close enough to 1. Decrease a_ini_over_a_today_default in order to start from radiation domination.", - pvecback[pba->index_bg_Omega_r],pvecback[pba->index_bg_Omega_de]); + dominated regime (_smg) */ + class_test(fabs(pvecback[pba->index_bg_Omega_r]+pvecback[pba->index_bg_Omega_de]-1.) > ppr->tol_initial_Omega_r, + pba->error_message, + "Omega_r = %e, Omega_de = %e, not close enough to 1. Decrease a_ini_over_a_today_default in order to start from radiation domination.", + pvecback[pba->index_bg_Omega_r],pvecback[pba->index_bg_Omega_de]); /** - compute initial proper time, assuming radiation-dominated universe since Big Bang and therefore \f$ t=1/(2H) \f$ (good approximation for most purposes) */ - class_test_except(pvecback[pba->index_bg_H] <= 0., + class_test(pvecback[pba->index_bg_H] <= 0., pba->error_message, - free(pvecback);free(pvecback_integration);background_free(pba), "H = %e instead of strictly positive",pvecback[pba->index_bg_H]); pvecback_integration[pba->index_bi_time] = 1./(2.* pvecback[pba->index_bg_H]); @@ -2884,9 +2425,12 @@ int background_initial_conditions( /** - compute initial sound horizon, assuming \f$ c_s=1/\sqrt{3} \f$ initially */ pvecback_integration[pba->index_bi_rs] = pvecback_integration[pba->index_bi_tau]/sqrt(3.); - /** - set initial value of D and D' in RD. D will be renormalised later, but D' must be correct. */ - pvecback_integration[pba->index_bi_D] = a; - pvecback_integration[pba->index_bi_D_prime] = 2*pvecback_integration[pba->index_bi_D]*pvecback[pba->index_bg_H]; + /** - set initial value of D and D' in RD. D and D' need only be set up to an overall constant, since they will later be re-normalized. From Ma&Bertschinger, one can derive D ~ (ktau)^2 at early times, from which one finds D'/D = 2 aH (assuming aH=1/tau during RD) */ + pvecback_integration[pba->index_bi_D] = 1.; + pvecback_integration[pba->index_bi_D_prime] = 2.*a*pvecback[pba->index_bg_H]; + + /** - return the value finally chosen for the initial log(a) */ + *loga_ini = log(a); return _SUCCESS_; @@ -2898,12 +2442,13 @@ int background_initial_conditions( * * @param ppr Input: pointer to precision structure * @param pba Input/Output: pointer to background structure - * @return the error status + * @return the error status */ int background_find_equality( struct precision *ppr, - struct background *pba) { + struct background *pba + ) { double Omega_m_over_Omega_r=0.; int index_tau_minus = 0; @@ -2939,7 +2484,7 @@ int background_find_equality( tau_mid = 0.5*(tau_plus+tau_minus); - class_call(background_at_tau(pba,tau_mid,pba->long_info,pba->inter_closeby,&index_tau_minus,pvecback), + class_call(background_at_tau(pba,tau_mid,long_info,inter_closeby,&index_tau_minus,pvecback), pba->error_message, pba->error_message); @@ -2954,7 +2499,7 @@ int background_find_equality( pba->a_eq = pvecback[pba->index_bg_a]; pba->H_eq = pvecback[pba->index_bg_H]; - pba->z_eq = pba->a_today/pba->a_eq -1.; + pba->z_eq = 1./pba->a_eq -1.; pba->tau_eq = tau_mid; if (pba->background_verbose > 0) { @@ -2972,16 +2517,20 @@ int background_find_equality( /** * Subroutine for formatting background output * + * @param pba Input: pointer to background structure + * @param titles Ouput: name of columns when printing the background table + * @return the error status */ -int background_output_titles(struct background * pba, +int background_output_titles( + struct background * pba, char titles[_MAXTITLESTRINGLENGTH_] - ){ + ) { /** - Length of the column title should be less than _OUTPUTPRECISION_+6 to be indented correctly, but it can be as long as . */ int n; - char tmp[24]; + char tmp[40]; class_store_columntitle(titles,"z",_TRUE_); class_store_columntitle(titles,"proper time [Gyr]",_TRUE_); @@ -2994,11 +2543,12 @@ int background_output_titles(struct background * pba, class_store_columntitle(titles,"(.)rho_g",_TRUE_); class_store_columntitle(titles,"(.)rho_b",_TRUE_); class_store_columntitle(titles,"(.)rho_cdm",pba->has_cdm); - if (pba->has_ncdm == _TRUE_){ - for (n=0; nN_ncdm; n++){ - sprintf(tmp,"(.)rho_ncdm[%d]",n); + class_store_columntitle(titles,"(.)rho_idm",pba->has_idm); + if (pba->has_ncdm == _TRUE_) { + for (n=0; nN_ncdm; n++) { + class_sprintf(tmp,"(.)rho_ncdm[%d]",n); class_store_columntitle(titles,tmp,_TRUE_); - sprintf(tmp,"(.)p_ncdm[%d]",n); + class_sprintf(tmp,"(.)p_ncdm[%d]",n); class_store_columntitle(titles,tmp,_TRUE_); } } @@ -3006,79 +2556,66 @@ int background_output_titles(struct background * pba, class_store_columntitle(titles,"(.)rho_fld",pba->has_fld); class_store_columntitle(titles,"(.)w_fld",pba->has_fld); class_store_columntitle(titles,"(.)rho_ur",pba->has_ur); + class_store_columntitle(titles,"(.)rho_idr",pba->has_idr); class_store_columntitle(titles,"(.)rho_crit",_TRUE_); class_store_columntitle(titles,"(.)rho_dcdm",pba->has_dcdm); class_store_columntitle(titles,"(.)rho_dr",pba->has_dr); - class_store_columntitle(titles,"gr.fac. D",_TRUE_); - class_store_columntitle(titles,"gr.fac. f",_TRUE_); - - class_store_columntitle(titles,"(.)rho_smg",pba->has_smg); - class_store_columntitle(titles,"(.)p_smg",pba->has_smg); + class_store_columntitle(titles,"(.)rho_scf",pba->has_scf); + class_store_columntitle(titles,"(.)p_scf",pba->has_scf); + class_store_columntitle(titles,"(.)p_prime_scf",pba->has_scf); + class_store_columntitle(titles,"phi_scf",pba->has_scf); + class_store_columntitle(titles,"phi'_scf",pba->has_scf); + class_store_columntitle(titles,"V_scf",pba->has_scf); + class_store_columntitle(titles,"V'_scf",pba->has_scf); + class_store_columntitle(titles,"V''_scf",pba->has_scf); + class_store_columntitle(titles,"(.)rho_tot",_TRUE_); + class_store_columntitle(titles,"(.)p_tot",_TRUE_); + class_store_columntitle(titles,"(.)p_tot_prime",_TRUE_); - if (pba->output_background_smg >= 1){ - class_store_columntitle(titles,"M*^2_smg",pba->has_smg); - class_store_columntitle(titles,"D_M*^2_smg",pba->has_smg); - class_store_columntitle(titles,"kineticity_smg",pba->has_smg); - class_store_columntitle(titles,"braiding_smg",pba->has_smg); - class_store_columntitle(titles,"tensor_excess_smg",pba->has_smg); - class_store_columntitle(titles,"Mpl_running_smg",pba->has_smg); - class_store_columntitle(titles,"c_s^2",pba->has_smg); - class_store_columntitle(titles,"kin (D)",pba->has_smg); - } + class_store_columntitle(titles,"gr.fac. D",_TRUE_); + class_store_columntitle(titles,"gr.fac. f",_TRUE_); - if (pba->output_background_smg >= 2){ - class_store_columntitle(titles,"phi_smg",pba->field_evolution_smg); - class_store_columntitle(titles,"phi'",pba->field_evolution_smg); - class_store_columntitle(titles,"phi''",pba->field_evolution_smg); - class_store_columntitle(titles,"E0",pba->field_evolution_smg); - class_store_columntitle(titles,"E1",pba->field_evolution_smg); - class_store_columntitle(titles,"E2",pba->field_evolution_smg); - class_store_columntitle(titles,"E3",pba->field_evolution_smg); - } + class_store_columntitle(titles,"rel. alpha",pba->has_varconst); + class_store_columntitle(titles,"rel. m_e",pba->has_varconst); - //TODO: add in output background trigger - if (pba->output_background_smg >= 3){ - class_store_columntitle(titles,"kineticity_prime_smg",pba->has_smg); - class_store_columntitle(titles,"braiding_prime_smg",pba->has_smg); - class_store_columntitle(titles,"lambda_1",pba->has_smg); - class_store_columntitle(titles,"lambda_2",pba->has_smg); - class_store_columntitle(titles,"lambda_3",pba->has_smg); - class_store_columntitle(titles,"lambda_4",pba->has_smg); - class_store_columntitle(titles,"lambda_5",pba->has_smg); - class_store_columntitle(titles,"lambda_6",pba->has_smg); - class_store_columntitle(titles,"lambda_7",pba->has_smg); - class_store_columntitle(titles,"lambda_8",pba->has_smg); - class_store_columntitle(titles,"lambda_9",pba->has_smg); - class_store_columntitle(titles,"lambda_10",pba->has_smg); - class_store_columntitle(titles,"lambda_11",pba->has_smg); - class_store_columntitle(titles,"lambda_2_p",pba->has_smg); - class_store_columntitle(titles,"lambda_8_p",pba->has_smg); - class_store_columntitle(titles,"lambda_9_p",pba->has_smg); - class_store_columntitle(titles,"lambda_11_p",pba->has_smg); - class_store_columntitle(titles,"cs2num",pba->has_smg); - class_store_columntitle(titles,"cs2num_p",pba->has_smg); + if (pba->has_smg == _TRUE_) { + class_call( + background_store_columntitles_smg(pba, titles), + pba->error_message, + pba->error_message + ); } - return _SUCCESS_; } +/** + * Subroutine for writing the background output + * + * @param pba Input: pointer to background structure + * @param number_of_titles Input: number of background quantities to print at each time step + * @param data Ouput: 1d array storing all the background table + * @return the error status + */ + int background_output_data( struct background *pba, int number_of_titles, - double *data){ + double *data + ) { + int index_tau, storeidx, n; double *dataptr, *pvecback; /** Stores quantities */ - for (index_tau=0; index_taubt_size; index_tau++){ + for (index_tau=0; index_taubt_size; index_tau++) { dataptr = data + index_tau*number_of_titles; pvecback = pba->background_table + index_tau*pba->bg_size; storeidx = 0; - class_store_double(dataptr,pba->a_today/pvecback[pba->index_bg_a]-1.,_TRUE_,storeidx); + class_store_double(dataptr,1./pvecback[pba->index_bg_a]-1.,_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_time]/_Gyr_over_Mpc_,_TRUE_,storeidx); class_store_double(dataptr,pba->conformal_age-pvecback[pba->index_bg_conf_distance],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_H],_TRUE_,storeidx); @@ -3089,8 +2626,9 @@ int background_output_data( class_store_double(dataptr,pvecback[pba->index_bg_rho_g],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_b],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_cdm],pba->has_cdm,storeidx); - if (pba->has_ncdm == _TRUE_){ - for (n=0; nN_ncdm; n++){ + class_store_double(dataptr,pvecback[pba->index_bg_rho_idm],pba->has_idm,storeidx); + if (pba->has_ncdm == _TRUE_) { + for (n=0; nN_ncdm; n++) { class_store_double(dataptr,pvecback[pba->index_bg_rho_ncdm1+n],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_p_ncdm1+n],_TRUE_,storeidx); } @@ -3099,59 +2637,37 @@ int background_output_data( class_store_double(dataptr,pvecback[pba->index_bg_rho_fld],pba->has_fld,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_w_fld],pba->has_fld,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_ur],pba->has_ur,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_rho_idr],pba->has_idr,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_crit],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_dcdm],pba->has_dcdm,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_rho_dr],pba->has_dr,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_rho_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_p_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_p_prime_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_phi_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_V_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_dV_scf],pba->has_scf,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_ddV_scf],pba->has_scf,storeidx); + + class_store_double(dataptr,pvecback[pba->index_bg_rho_tot],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_p_tot],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_p_tot_prime],_TRUE_,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_D],_TRUE_,storeidx); class_store_double(dataptr,pvecback[pba->index_bg_f],_TRUE_,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_rho_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_p_smg],pba->has_smg,storeidx); - - if (pba->output_background_smg >= 1){ - class_store_double(dataptr,pvecback[pba->index_bg_M2_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_delta_M2_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_kineticity_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_braiding_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_tensor_excess_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_mpl_running_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_cs2_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_kinetic_D_smg],pba->has_smg,storeidx); - } - - if (pba->output_background_smg >= 2){ - class_store_double(dataptr,pvecback[pba->index_bg_phi_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_phi_prime_prime_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_E0_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_E1_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_E2_smg],pba->field_evolution_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_E3_smg],pba->field_evolution_smg,storeidx); - } + class_store_double(dataptr,pvecback[pba->index_bg_varc_alpha],pba->has_varconst,storeidx); + class_store_double(dataptr,pvecback[pba->index_bg_varc_me],pba->has_varconst,storeidx); - if (pba->output_background_smg >= 3){ - class_store_double(dataptr,pvecback[pba->index_bg_kineticity_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_braiding_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_1_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_2_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_3_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_4_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_5_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_6_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_7_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_8_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_9_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_10_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_11_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_2_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_8_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_9_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_lambda_11_prime_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_cs2num_smg],pba->has_smg,storeidx); - class_store_double(dataptr,pvecback[pba->index_bg_cs2num_prime_smg],pba->has_smg,storeidx); + if (pba->has_smg == _TRUE_) { + class_call( + background_output_data_smg(pba, pvecback, dataptr, &storeidx), + pba->error_message, + pba->error_message + ); } - } return _SUCCESS_; @@ -3159,8 +2675,8 @@ int background_output_data( /** - * Subroutine evaluating the derivative with respect to conformal time - * of quantities which are integrated (a, t, etc). + * Subroutine evaluating the derivative with respect to loga + * of quantities which are integrated (tau, t, etc). * * This is one of the few functions in the code which is passed to * the generic_integrator() routine. Since generic_integrator() @@ -3176,14 +2692,15 @@ int background_output_data( * usual to pba->error_message, but to a generic error_message passed * in the list of arguments. * - * @param tau Input: conformal time + * @param loga Input: current value of log(a) * @param y Input: vector of variable * @param dy Output: its derivative (already allocated) * @param parameters_and_workspace Input: pointer to fixed parameters (e.g. indices) * @param error_message Output: error message */ + int background_derivs( - double tau, + double loga, double* y, /* vector with argument y[index_bi] (must be already allocated with size pba->bi_size) */ double* dy, /* vector with argument dy[index_bi] (must be already allocated with @@ -3204,779 +2721,294 @@ int background_derivs( pba = pbpaw->pba; pvecback = pbpaw->pvecback; + /** - scale factor a (in fact, given our normalisation conventions, this stands for a/a_0) */ + a = exp(loga); + /** - calculate functions of \f$ a \f$ with background_functions() */ - class_call(background_functions(pba, y, pba->normal_info, pvecback), + class_call(background_functions(pba, a, y, normal_info, pvecback), pba->error_message, error_message); - /** - Short hand notation */ - a = y[pba->index_bi_a]; + /** - Short hand notation for Hubble */ H = pvecback[pba->index_bg_H]; - /** - calculate \f$ a'=a^2 H \f$ */ - dy[pba->index_bi_a] = y[pba->index_bi_a] * y[pba->index_bi_a] * pvecback[pba->index_bg_H]; - - /** - calculate /f$ H'= (...) + stabilization /f$ */ - if (pba->hubble_evolution == _TRUE_) - dy[pba->index_bi_H] = pvecback[pba->index_bg_H_prime]; + /** - calculate derivative of cosmological time \f$ dt/dloga = 1/H \f$ */ + dy[pba->index_bi_time] = 1./H; - /** - calculate /f$ t' = a /f$ */ - dy[pba->index_bi_time] = y[pba->index_bi_a]; + /** - calculate derivative of conformal time \f$ d\tau/dloga = 1/aH \f$ */ + dy[pba->index_bi_tau] = 1./a/H; - /** - calculate /f$ \rho'= -3aH (1+w) \rho /f$ */ - if (pba->rho_evolution_smg == _TRUE_){ - dy[pba->index_bi_rho_smg] = pvecback[pba->index_bg_rho_prime_smg]; + /** - calculate /f$ dlogH/dloga = (...) + stabilization /f$ (not only _smg) */ + if (pba->hubble_evolution == _TRUE_) { + dy[pba->index_bi_logH] = pvecback[pba->index_bg_H_prime]/a/H/H; } class_test(pvecback[pba->index_bg_rho_g] <= 0., error_message, "rho_g = %e instead of strictly positive",pvecback[pba->index_bg_rho_g]); - /** - calculate \f$ rs' = c_s \f$*/ - dy[pba->index_bi_rs] = 1./sqrt(3.*(1.+3.*pvecback[pba->index_bg_rho_b]/4./pvecback[pba->index_bg_rho_g]))*sqrt(1.-pba->K*y[pba->index_bi_rs]*y[pba->index_bi_rs]); // TBC: curvature correction + /** - calculate detivative of sound horizon \f$ drs/dloga = drs/dtau * dtau/dloga = c_s/aH \f$*/ + dy[pba->index_bi_rs] = 1./a/H/sqrt(3.*(1.+3.*pvecback[pba->index_bg_rho_b]/4./pvecback[pba->index_bg_rho_g]))*sqrt(1.-pba->K*y[pba->index_bi_rs]*y[pba->index_bi_rs]); // TBC: curvature correction - /** - solve second order growth equation \f$ [D''(\tau)=-aHD'(\tau)+3/2 a^2 \rho_M D(\tau) \f$ */ + /** - solve second order growth equation \f$ [D''(\tau)=-aHD'(\tau)+3/2 a^2 \rho_M D(\tau) \f$ + written as \f$ dD/dloga = D' / (aH) \f$ and \f$ dD'/dloga = -D' + (3/2) (a/H) \rho_M D \f$ */ rho_M = pvecback[pba->index_bg_rho_b]; - if (pba->has_cdm) + if (pba->has_cdm == _TRUE_) { rho_M += pvecback[pba->index_bg_rho_cdm]; - dy[pba->index_bi_D] = y[pba->index_bi_D_prime]; - dy[pba->index_bi_D_prime] = -a*H*y[pba->index_bi_D_prime] + 1.5*a*a*rho_M*y[pba->index_bi_D]; - - if (pba->has_dcdm == _TRUE_){ - /** - compute dcdm density \f$ \rho' = -3aH \rho - a \Gamma \rho \f$*/ - dy[pba->index_bi_rho_dcdm] = -3.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*y[pba->index_bi_rho_dcdm]- - y[pba->index_bi_a]*pba->Gamma_dcdm*y[pba->index_bi_rho_dcdm]; } + if (pba->has_idm == _TRUE_){ + rho_M += pvecback[pba->index_bg_rho_idm]; + } + + dy[pba->index_bi_D] = y[pba->index_bi_D_prime]/a/H; + dy[pba->index_bi_D_prime] = -y[pba->index_bi_D_prime] + 1.5*a*rho_M*y[pba->index_bi_D]/H; - if ((pba->has_dcdm == _TRUE_) && (pba->has_dr == _TRUE_)){ - /** - Compute dr density \f$ \rho' = -4aH \rho - a \Gamma \rho \f$ */ - dy[pba->index_bi_rho_dr] = -4.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*y[pba->index_bi_rho_dr]+ - y[pba->index_bi_a]*pba->Gamma_dcdm*y[pba->index_bi_rho_dcdm]; + if (pba->has_dcdm == _TRUE_) { + /** - compute dcdm density \f$ d\rho/dloga = -3 \rho - \Gamma/H \rho \f$*/ + dy[pba->index_bi_rho_dcdm] = -3.*y[pba->index_bi_rho_dcdm] - pba->Gamma_dcdm/H*y[pba->index_bi_rho_dcdm]; } - /** - Scalar field equation: \f$ \phi'' + 2 a H \phi' + a^2 dV = 0 \f$ (note H is wrt cosmic time)**/ - if (pba->has_smg == _TRUE_){ - if(pba->field_evolution_smg){ - dy[pba->index_bi_phi_smg] = y[pba->index_bi_phi_prime_smg]; - dy[pba->index_bi_phi_prime_smg] = pvecback[pba->index_bg_phi_prime_prime_smg]; - } - /** - Planck mass equation (if parameterization in terms of alpha_m **/ - if (pba->M_pl_evolution_smg == _TRUE_) - dy[pba->index_bi_delta_M_pl_smg] = y[pba->index_bi_a]*pvecback[pba->index_bg_H]*pvecback[pba->index_bg_mpl_running_smg]*(y[pba->index_bi_delta_M_pl_smg]+1.); //in this case the running has to be integrated (eq 3.3 of 1404.3713 yields M2' = aH\alpha_M) + if ((pba->has_dcdm == _TRUE_) && (pba->has_dr == _TRUE_)) { + /** - Compute dr density \f$ d\rho/dloga = -4\rho - \Gamma/H \rho \f$ */ + dy[pba->index_bi_rho_dr] = -4.*y[pba->index_bi_rho_dr]+pba->Gamma_dcdm/H*y[pba->index_bi_rho_dcdm]; } if (pba->has_fld == _TRUE_) { - /** - Compute fld density \f$ \rho' = -3aH (1+w_{fld}(a)) \rho \f$ */ - dy[pba->index_bi_rho_fld] = -3.*y[pba->index_bi_a]*pvecback[pba->index_bg_H]*(1.+pvecback[pba->index_bg_w_fld])*y[pba->index_bi_rho_fld]; + /** - Compute fld density \f$ d\rho/dloga = -3 (1+w_{fld}(a)) \rho \f$ */ + dy[pba->index_bi_rho_fld] = -3.*(1.+pvecback[pba->index_bg_w_fld])*y[pba->index_bi_rho_fld]; + } + + if (pba->has_scf == _TRUE_) { + /** - Scalar field equation: \f$ \phi'' + 2 a H \phi' + a^2 dV = 0 \f$ (note H is wrt cosmological time) + written as \f$ d\phi/dlna = phi' / (aH) \f$ and \f$ d\phi'/dlna = -2*phi' - (a/H) dV \f$ */ + dy[pba->index_bi_phi_scf] = y[pba->index_bi_phi_prime_scf]/a/H; + dy[pba->index_bi_phi_prime_scf] = - 2*y[pba->index_bi_phi_prime_scf] - a*dV_scf(pba,y[pba->index_bi_phi_scf])/H ; } - if (pba->has_scf == _TRUE_){ - /** - Scalar field equation: \f$ \phi'' + 2 a H \phi' + a^2 dV = 0 \f$ (note H is wrt cosmic time) */ - dy[pba->index_bi_phi_scf] = y[pba->index_bi_phi_prime_scf]; - dy[pba->index_bi_phi_prime_scf] = - y[pba->index_bi_a]* - (2*pvecback[pba->index_bg_H]*y[pba->index_bi_phi_prime_scf] - + y[pba->index_bi_a]*dV_scf(pba,y[pba->index_bi_phi_scf])) ; + if (pba->has_smg == _TRUE_) { + class_call( + background_derivs_smg(pba, a, pvecback, y, dy), + pba->error_message, + pba->error_message + ); } return _SUCCESS_; } - -/** This function fills the modified gravity part of background_functions. - * First all the Horndeski functions G_i(X,phi) are computed. - * A loop is used to allow different implementations without erasing previous ones - * Note that in CLASS units a canonical field has G2 = X ~ [Mpc]^-2 - * This implies that phi_prime ~ [Mpc]^-1 - * and phi is dimensionless (we can think of phi as given in units of the Planck mass - * - A default module to numerically compute the derivatives when no analytic functions are given should be added. - * Numerical derivatives may further serve as a consistency check. - * TODO: Add a background_write_alpha_primes +/** + * At some step during the integraton of the background equations, + * this function extracts the qantities that we want to keep memory + * of, and stores them in a row of the background table (as well as + * extra tables: z_table, tau_table). + * + * This is one of the few functions in the code which is passed to the generic_integrator() routine. + * Since generic_integrator() should work with functions passed from various modules, the format of the arguments + * is a bit special: + * - fixed parameters and workspaces are passed through a generic pointer. + * generic_integrator() doesn't know the content of this pointer. + * - the error management is a bit special: errors are not written as usual to pba->error_message, but to a generic + * error_message passed in the list of arguments. + * + * @param loga Input: current value of log(a) + * @param y Input: current vector of integrated quantities (with index_bi) + * @param dy Input: current derivative of y w.r.t log(a) + * @param index_loga Input: index of the log(a) value within the background_table + * @param parameters_and_workspace Input/output: fixed parameters (e.g. indices), workspace, background structure where the output is written... + * @param error_message Output: error message */ -int background_gravity_functions( - struct background *pba, - double * pvecback_B, - short return_format, - double * pvecback - ){ - - // scalar field + curvature not yet implemented - class_test(pba->K !=0 , - pba->error_message, - "has_smg with curvature K = %e not yet implemented",pba->K); - - if (pba->field_evolution_smg == _TRUE_) { - - /* declare variables and set defaults to zero */ - double a, phi, phi_prime, H; - double x,f,df; - int n, n_max=100; - double X,rho_tot,p_tot; - double E0,E1,E2,E3,B,A,R,M,F,P; - double G2=0, G2_X=0, G2_XX=0, G2_phi=0, G2_Xphi=0; - double G3_X=0, G3_XX=0, G3_phi=0, G3_phiphi=0, G3_Xphi=0; - double G4, G4_smg=0; - double G4_phi=0, G4_phiphi=0, G4_X=0, G4_XX=0, G4_XXX=0, G4_Xphi=0, G4_Xphiphi=0, G4_XXphi=0; - double G5=0, G5_phi=0, G5_phiphi=0, G5_X=0, G5_XX=0, G5_XXX=0, G5_Xphi=0, G5_Xphiphi=0, G5_XXphi=0; - - a = pvecback_B[pba->index_bi_a]; - if (pba->hubble_evolution == _TRUE_) - H = pvecback_B[pba->index_bi_H]; - - phi = pvecback_B[pba->index_bi_phi_smg]; - phi_prime = pvecback_B[pba->index_bi_phi_prime_smg]; - - X = 0.5*pow(phi_prime/a,2); - rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; - p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; - - /* set default Einstein-Hilbert term (in CLASS units), can be overwritten latter */ - G4 = 1./2.; - - /* Overwrite the Horneski functions and their partial derivatives depending on the model */ - if (pba->gravity_model_smg == quintessence_monomial) { - - double N = pba->parameters_smg[0]; - double V0 = pba->parameters_smg[1]; - - G2 = X - V0*pow(pba->H0/pba->h,2.)*pow(phi,N); // V written as in arXiv:1406.2301 in CLASS units - G2_X = 1.; - G2_phi = -N*V0*pow(pba->H0/pba->h,2.)*pow(phi,N-1.); - } - - else if (pba->gravity_model_smg == quintessence_tracker) { - // V written as in arXiv:1406.2301 in CLASS units - - double V0 = pba->parameters_smg[2]; - double n = pba->parameters_smg[3]; - double m = pba->parameters_smg[4]; - double lambda = pba->parameters_smg[5]; - double V, V_phi; +int background_sources( + double loga, + double * y, + double * dy, + int index_loga, + void * parameters_and_workspace, + ErrorMsg error_message + ) { - V = pow(pba->H0/pba->h,2)* V0 * pow(phi, -n) * exp(lambda*pow(phi, m)); - V_phi = (lambda * m * pow(phi, m) - n) /phi * V; + struct background_parameters_and_workspace * pbpaw; + struct background * pba; + double a; + double * bg_table_row; - G2 = X - V; - G2_X = 1.; - G2_phi = -V_phi; - } + pbpaw = parameters_and_workspace; + pba = pbpaw->pba; - else if (pba->gravity_model_smg == alpha_attractor_canonical) { - // V written as in eq. 12 of arXiv:1505.00815 in CLASS units with canonical field. + /** - localize the row inside background_table where the current values must be stored */ + bg_table_row = pba->background_table + index_loga*pba->bg_size; - double alpha = pba->parameters_smg[2]; - double c2 = pow(pba->parameters_smg[3], 2); - double p = pba->parameters_smg[4]; - double n = pba->parameters_smg[5]; - double V, V_phi; - double x = tanh(phi/(sqrt(6*alpha))); - double y = sinh(sqrt(2/(3*alpha))*phi); - V = alpha* c2 * pow(x,p)/pow(1+x, 2*n); + /** - scale factor a (in fact, given our normalisation conventions, this stands for a/a_0) */ + a = exp(loga); - V_phi = sqrt(2*alpha/3)*c2* pow(x,p)* (p +(p-2*n)*x)/(y * pow(1+x,2*n +1)); + /** - corresponding redhsift 1/a-1 */ + pba->z_table[index_loga] = MAX(0.,1./a-1.); - G2 = X - V; - G2_X = 1.; - G2_phi = -V_phi; + /** - corresponding conformal time */ + pba->tau_table[index_loga] = y[pba->index_bi_tau]; - class_test((phi < 0. ) && ( phi_prime > 0 ) - && (pba->parameters_tuned_smg == _TRUE_) - && (pba->skip_stability_tests_smg == _FALSE_), + /** -> compute all other quantities depending only on a + {B} variables and get them stored + in one row of background_table + The value of {B} variables in pData are also copied to pvecback.*/ + class_call(background_functions(pba, a, y, long_info, bg_table_row), pba->error_message, - "The model has started oscillating with first minimum at a = %e. Since = 0 yields matter, it cannot make the universe expand accelerately.", a); - } - - else if(pba->gravity_model_smg == galileon){//TODO: change name with ccc_galileon - - double M3 = pow(pba->H0,2); - - double Lambda1 = pba->parameters_smg[1]*M3; - double Lambda2 = pba->parameters_smg[2]; - double Lambda3 = pba->parameters_smg[3]/M3; - double Lambda4 = pba->parameters_smg[4]*pow(M3,-2); - double Lambda5 = pba->parameters_smg[5]*pow(M3,-3); - - G2 = Lambda2*X - 0.5*Lambda1*phi; - G2_X = Lambda2; - G2_phi = - 0.5*Lambda1; - /* G_3 = -2*Lambda3*X */ - G3_X = -2.*Lambda3; - /* G_4 = 1/2 + Lambda4 X^2 */ - G4_smg = Lambda4*pow(X,2); - G4 = 1/2. + G4_smg; - G4_X = 2.*Lambda4*X; - G4_XX = 2.*Lambda4; - /* G_5 = Lambda5*pow(X,2) */ - G5_X = 2.*Lambda5*X; - G5_XX = 2.*Lambda5; - } - else if(pba->gravity_model_smg == brans_dicke){ - - /* Brans-Dicke can't cause acceleration: - * - V is a constant potential, basically a cosmological constant - * - omega is the Brans-Dicke parameter in charge of the fifth force - */ - double V = 3.*pba->parameters_smg[0]*pow(pba->H0,2); - double omega = pba->parameters_smg[1]; + pba->error_message); - G2 = -V + omega*X/phi; - G2_X = omega/phi; - G2_Xphi = -omega/pow(phi,2); - G2_phi = -omega*X/pow(phi,2); + return _SUCCESS_; - G4_smg = (phi-1.)/2.; - G4 = phi/2.; - G4_phi = 1./2.; +} - } +/** + * Evalute the typical timescale for the integration of he background + * over loga=log(a/a_0). This is only required for rkck, but not for + * the ndf15 evolver. + * + * The evolver will take steps equal to this value times + * ppr->background_integration_stepsize. Since our variable of + * integration is loga, and the time steps are (delta a)/a, the + * reference timescale is precisely one, i.e., the code will take some + * steps such that (delta a)/a = ppr->background_integration_stepsize. + * + * The argument list is predetermined by the format of + * generic_evolver; however in this particular case, they are never + * used. + * + * This is one of the few functions in the code which is passed to the generic_integrator() routine. + * Since generic_integrator() should work with functions passed from various modules, the format of the arguments + * is a bit special: + * - fixed parameters and workspaces are passed through a generic pointer (void *). + * generic_integrator() doesn't know the content of this pointer. + * - the error management is a bit special: errors are not written as usual to pba->error_message, but to a generic + * error_message passed in the list of arguments. + * + * @param loga Input: current value of log(a/a_0) + * @param parameters_and_workspace Input: fixed parameters (e.g. indices), workspace, approximation used, etc. + * @param timescale Output: perturbation variation timescale + * @param error_message Output: error message + */ - else if(pba->gravity_model_smg == nkgb){ +int background_timescale( + double loga, + void * parameters_and_workspace, + double * timescale, + ErrorMsg error_message + ) { - /* Action is + *timescale = 1.; + return _SUCCESS_; +} - -X + 1/n * g^[(2n-1)/2] Lambda (X/Lambda^4)^n box(phi) +/** + * Function outputting the fractions Omega of the total critical density + * today, and also the reduced fractions omega=Omega*h*h + * + * It also prints the total budgets of non-relativistic, relativistic, + * and other contents, and of the total + * + * @param pba Input: Pointer to background structure + * @return the error status + */ - g was picked like this so that it approx. remains g*Omega_smg0 ~ O(1) for all n - Note that for n=1/4 the Lambda mass scales cancels out, so we set it to 1. - */ +int background_output_budget( + struct background* pba + ) { - double g = pba->parameters_smg[0]; - double npow = pba->parameters_smg[1]; - double ngpow = copysign(1.,g)*pow(fabs(g),(2.*npow-1.)/2.)/npow; - double H0=pba->H0; + double budget_matter, budget_radiation, budget_other,budget_neutrino; + int index_ncdm; - G2 = -X; - G2_X = -1.; + budget_matter = 0; + budget_radiation = 0; + budget_other = 0; + budget_neutrino = 0; - // G3 = 1/n g^[(2n-1)/2] Lambda (X/Lambda^4)^n + //The name for the class_print_species macro can be at most 30 characters total + if (pba->background_verbose > 1) { - G3_X = npow*ngpow*pow(X,npow-1)/pow(H0,2*npow); - G3_XX = npow*(npow-1.)*ngpow*pow(X,npow-2)/pow(H0,2*npow); + printf(" ---------------------------- Budget equation ----------------------- \n"); + printf(" ---> Nonrelativistic Species \n"); + class_print_species("Bayrons",b); + budget_matter+=pba->Omega0_b; + if (pba->has_cdm == _TRUE_) { + class_print_species("Cold Dark Matter",cdm); + budget_matter+=pba->Omega0_cdm; + } + if (pba->has_idm == _TRUE_){ + class_print_species("Interacting DM - idr,b,g",idm); + budget_matter+=pba->Omega0_idm; + } + if (pba->has_dcdm == _TRUE_) { + class_print_species("Decaying Cold Dark Matter",dcdm); + budget_matter+=pba->Omega0_dcdm; } - - //TODO: Write the Bellini-Sawicki functions and other information to pvecback - - pvecback[pba->index_bg_phi_smg] = phi; // value of the scalar field phi - pvecback[pba->index_bg_phi_prime_smg] = phi_prime; // value of the scalar field phi derivative wrt conformal time - - /** - Modified time-time Friedmann equation - * E0 + E1 H + E3 H^3 = E2 H^2 - * NOTE: H is NOT the curly H!! - * NOTE: added rho_smg, p_smg separately - */ - - E0 = (3.*rho_tot + (-1.)*G2 + (G2_X + (-1.)*G3_phi)*2.*X)*1./3.; - E1 = ((-1.)*G4_phi + (G3_X + (-2.)*G4_Xphi)*X)*2.*phi_prime*pow(a,-1); - E2 = (G4 + (4.*G4_X + (-3.)*G5_phi + (2.*G4_XX + (-1.)*G5_Xphi)*2.*X)*(-1.)*X)*2.; - E3 = (5.*G5_X + 2.*X*G5_XX)*2./3.*phi_prime*pow(a,-1)*X; - - /* Rewrite if ICs not set or no evolution */ - if (pba->initial_conditions_set_smg == _FALSE_ || pba->hubble_evolution == _FALSE_){ - class_test_except(E3*pow(E0,1./2.) > 1e-10 && pba->initial_conditions_set_smg == _FALSE_, - pba->error_message, - free(pvecback);free(pvecback_B), - " E3=%e is large in Friedmann constraint when setting ICs ", E3); - /* Use Newton's method */ - x = sqrt(E0); - f = E3*x*x*x -E2*x*x + E1*x + E0; - n = 0; - while (fabs(f/E0)> 1e-8 && n < 100){ - f = E3*x*x*x - E2*x*x + E1*x + E0; - df = 3.*E3*x*x - 2.*E2*x + E1; - x -= f/df; - n++; + if (pba->N_ncdm > 0) { + printf(" ---> Non-Cold Dark Matter Species (incl. massive neutrinos)\n"); + } + if (pba->N_ncdm > 0) { + for (index_ncdm=0;index_ncdmN_ncdm;++index_ncdm) { + printf("-> %-26s%-4d Omega = %-15g , omega = %-15g\n","Non-Cold Species Nr.",index_ncdm+1,pba->Omega0_ncdm[index_ncdm],pba->Omega0_ncdm[index_ncdm]*pba->h*pba->h); + budget_neutrino+=pba->Omega0_ncdm[index_ncdm]; + budget_matter+=pba->Omega0_ncdm[index_ncdm]; } - H=x; - if (pba->background_verbose > 5 && pba->initial_conditions_set_smg == _FALSE_ ) - printf(" Initial H = %e, sqrt(rho) = %e, ratio = %e, n=%i \n", H, sqrt(rho_tot),sqrt(rho_tot)/H,n); } - pvecback[pba->index_bg_E0_smg] = E0; - pvecback[pba->index_bg_E1_smg] = E1; - pvecback[pba->index_bg_E2_smg] = E2; - pvecback[pba->index_bg_E3_smg] = E3; - - /* Rewritten by the constraint if ICs have not been set */ - pvecback[pba->index_bg_H] = H; - - // pvecback[pba->index_bg_M2_smg] = 2.*G4 + (2.*G4_X + H*phi_prime*pow(a,-1)*G5_X + (-1.)*G5_phi)*(-2.)*X; - pvecback[pba->index_bg_delta_M2_smg] = 2.*(G4_smg - 2.*X*G4_X + X*G5_phi) - 2.*X*H*phi_prime*pow(a,-1)*G5_X; - pvecback[pba->index_bg_M2_smg] = 1. + pvecback[pba->index_bg_delta_M2_smg]; - - class_test_except(isnan(pvecback[pba->index_bg_H]), - pba->error_message, - free(pvecback);free(pvecback_B), - " H=%e is not a number at a = %e. phi = %e, phi_prime = %e, E0=%e, E1=%e, E2=%e, E3=%e, M_*^2 = %e ", - pvecback[pba->index_bg_H],a,phi,phi_prime,E0,E1,E2,E3,pvecback[pba->index_bg_M2_smg]); - - - /* alpha_K and alpha_B are needed in the equation and do not depend on phi'' */ - /* alpha_K kineticity */ - pvecback[pba->index_bg_kineticity_smg] = ((3.*G5_X + (7.*G5_XX + 2.*X*G5_XXX)*X)*4.*H*phi_prime*pow(a,-1)*X + (G2_X + (-2.)*G3_phi + (G2_XX + (-1.)*G3_Xphi)*2.*X)*2.*pow(H,-2)*X + (G3_X + (-3.)*G4_Xphi + (G3_XX + (-2.)*G4_XXphi)*X)*12.*pow(H,-1)*phi_prime*pow(a,-1)*X + (G4_X + (-1.)*G5_phi + (8.*G4_XX + (-5.)*G5_Xphi + (2.*G4_XXX + (-1.)*G5_XXphi)*2.*X)*X)*12.*X)*pow(pvecback[pba->index_bg_M2_smg],-1); - - /* alpha_B braiding */ - pvecback[pba->index_bg_braiding_smg] = ((3.*G5_X + 2.*X*G5_XX)*2.*H*phi_prime*pow(a,-1)*X + ((-1.)*G4_phi + (G3_X + (-2.)*G4_Xphi)*X)*2.*pow(H,-1)*phi_prime*pow(a,-1) + (G4_X + (-1.)*G5_phi + (2.*G4_XX + (-1.)*G5_Xphi)*X)*8.*X)*pow(pvecback[pba->index_bg_M2_smg],-1); - - - /** TODO: add references - * - Modified space-space Friedmann equation and scalar field equation - * B phi'' + A H' + R = 0 - * M phi'' + F H' + P = 0 - * They will be mixed in general: write the coefficients and solve for phi'', H' - */ - - B = (3.*G5_X + 2.*X*G5_XX)*2./3.*pow(H,2)*pow(a,-1)*X + ((-1.)*G4_phi + (G3_X + (-2.)*G4_Xphi)*X)*2./3.*pow(a,-1) + (G4_X + (-1.)*G5_phi + (2.*G4_XX + (-1.)*G5_Xphi)*X)*4./3.*H*phi_prime*pow(a,-2); - - A = (-2.)/3.*pvecback[pba->index_bg_M2_smg]; - - R = (3.*G5_X + 2.*X*G5_XX)*(-4.)/3.*pow(H,3)*phi_prime*X + (((G4_X + (-1.)*G5_phi)*5. + (5.*G4_XX + (-3.)*G5_Xphi)*2.*X)*(-4.)/3.*pow(H,2)*X + ((-3.)*rho_tot + (-3.)*p_tot + (G2_X + (-2.)*G3_phi + 2.*G4_phiphi)*(-2.)*X)*1./3.)*a + ((-1.)*G4_phi + (2.*G3_X + (-6.)*G4_Xphi + G5_phiphi)*X)*(-4.)/3.*H*phi_prime; - - M = (3.*G5_X + (7.*G5_XX + 2.*X*G5_XXX)*X)*2.*pow(H,2)*phi_prime*pow(a,-3) + (G2_X + (-2.)*G3_phi + (G2_XX + (-1.)*G3_Xphi)*2.*X)*pow(H,-1)*pow(a,-2) + (G3_X + (-3.)*G4_Xphi + (G3_XX + (-2.)*G4_XXphi)*X)*6.*phi_prime*pow(a,-3) + (G4_X + (-1.)*G5_phi + (8.*G4_XX + (-5.)*G5_Xphi + (2.*G4_XXX + (-1.)*G5_XXphi)*2.*X)*X)*6.*H*pow(a,-2); - - F = (3.*G5_X + 2.*X*G5_XX)*6.*H*pow(a,-1)*X + (X*G3_X + (-1.)*G4_phi + (-2.)*X*G4_Xphi)*6.*pow(H,-1)*pow(a,-1) + (G4_X + 2.*X*G4_XX + (-1.)*G5_phi + (-1.)*X*G5_Xphi)*12.*phi_prime*pow(a,-2); - - P = ((-3.)*G5_X + (2.*G5_XX + X*G5_XXX)*4.*X)*(-2.)*pow(H,3)*X + ((-3.)*G4_X + 3.*G5_phi + (3.*G4_XX + (-4.)*G5_Xphi + (3.*G4_XXX + (-2.)*G5_XXphi)*2.*X)*X)*(-4.)*pow(H,2)*phi_prime*pow(a,-1) + ((-1.)*G2_phi + (G2_Xphi + (-1.)*G3_phiphi)*2.*X)*pow(H,-1) + ((-1.)*G2_X + 2.*G3_phi + (G2_XX + (-4.)*G3_Xphi + 6.*G4_Xphiphi)*X)*(-2.)*phi_prime*pow(a,-1) + (2.*G4_phi + ((-1.)*G3_X + G5_phiphi + (G3_XX + (-4.)*G4_XXphi + G5_Xphiphi)*2.*X)*X)*(-6.)*H; - - class_test_except((A*M - B*F) == 0 , - pba->error_message, - free(pvecback);free(pvecback_B), - "scalar field mixing with metric has degenerate denominator at a = %e, phi = %e, phi_prime = %e \n with A = %e, M =%e, B=%e, F=%e, \n H=%e, E0=%e, E1=%e, E2=%e, E3=%e \n M_*^2 = %e Kineticity = %e, Braiding = %e", - a,phi,phi_prime, A, M, B, F, - pvecback[pba->index_bg_H],E0,E1,E2,E3, - pvecback[pba->index_bg_M2_smg], pvecback[pba->index_bg_kineticity_smg],pvecback[pba->index_bg_braiding_smg]); - - /* Friedmann space-space equation with friction added */ - pvecback[pba->index_bg_H_prime] = ((-1.)*B*P + M*R)*pow(B*F + (-1.)*A*M,-1); - /* choose sign for friction depending on the derivative */ - if ((2.*E2*H - E1 - 3*E3*H*H)>=0) - pvecback[pba->index_bg_H_prime] += - a*pba->hubble_friction*(E2*H*H - E0 - E1*H - E3*H*H*H); - else{ - pvecback[pba->index_bg_H_prime] += a*pba->hubble_friction*(E2*H*H - E0 - E1*H - E3*H*H*H); + printf(" ---> Relativistic Species \n"); + class_print_species("Photons",g); + budget_radiation+=pba->Omega0_g; + if (pba->has_ur == _TRUE_) { + class_print_species("Ultra-relativistic relics",ur); + budget_radiation+=pba->Omega0_ur; } - - /* Field equation */ - pvecback[pba->index_bg_phi_prime_prime_smg] = (A*P + (-1.)*F*R)*pow(B*F + (-1.)*A*M,-1); - - /* alpha_T, alpha_M depend on phi''... -> computed now */ - /* alpha_T: tensor speed excess */ - pvecback[pba->index_bg_tensor_excess_smg] = ((pvecback[pba->index_bg_phi_prime_prime_smg] + (-2.)*H*phi_prime*a)*(-2.)*pow(a,-2)*G5_X + (G4_X + (-1.)*G5_phi)*4.)*pow(pvecback[pba->index_bg_M2_smg],-1)*X; - - /* alpha_M: Planck mass running */ - pvecback[pba->index_bg_mpl_running_smg] = ((-2.)*pow(H,-1)*pvecback[pba->index_bg_H_prime]*phi_prime*pow(a,-2)*X*G5_X + (3.*G5_X + 2.*X*G5_XX)*2.*H*phi_prime*pow(a,-1)*X + ((3.*G5_X + 2.*X*G5_XX)*(-2.)*X + (G4_X + (-1.)*G5_phi + (2.*G4_XX + (-1.)*G5_Xphi)*X)*(-2.)*pow(H,-1)*phi_prime*pow(a,-1))*pvecback[pba->index_bg_phi_prime_prime_smg]*pow(a,-2) + (G4_X + (-1.)*G5_phi + (G4_XX + (-1.)*G5_Xphi)*2.*X)*4.*X + (G4_phi + ((-2.)*G4_Xphi + G5_phiphi)*X)*2.*pow(H,-1)*phi_prime*pow(a,-1))*pow(pvecback[pba->index_bg_M2_smg],-1); - - /* Energy density of the field */ - pvecback[pba->index_bg_rho_smg] = (5.*G5_X + 2.*X*G5_XX)*2./3.*pow(H,3)*phi_prime*pow(a,-1)*X + ((-1.)*G2 + (G2_X + (-1.)*G3_phi)*2.*X)*1./3. + (G4_phi + (G3_X + (-2.)*G4_Xphi)*(-1.)*X)*(-2.)*H*phi_prime*pow(a,-1) + ((-2.)*G4_smg + ((4.*G4_X + (-3.)*G5_phi)*2. + (2.*G4_XX + (-1.)*G5_Xphi)*4.*X)*X)*pow(H,2); - - /* Pressure of the field */ - pvecback[pba->index_bg_p_smg] = (G5_X + 2.*X*G5_XX)*2./3.*pow(H,3)*phi_prime*pow(a,-1)*X + ((-4.)/3.*H*phi_prime*pow(a,-2)*X*G5_X + (-2.*G4_smg + (2.*G4_X + (-1.)*G5_phi)*2.*X)*(-2.)/3.*pow(a,-1))*pvecback[pba->index_bg_H_prime] + (6.*G4_smg + ((-2.)*G4_X + (-1.)*G5_phi + (4.*G4_XX + (-3.)*G5_Xphi)*2.*X)*2.*X)*1./3.*pow(H,2) + ((3.*G5_X + 2.*X*G5_XX)*(-2.)/3.*pow(H,2)*pow(a,-2)*X + ((-1.)*G4_phi + (G3_X + (-2.)*G4_Xphi)*X)*(-2.)/3.*pow(a,-2) + (G4_X + (-1.)*G5_phi + (2.*G4_XX + (-1.)*G5_Xphi)*X)*(-4.)/3.*H*phi_prime*pow(a,-3))*pvecback[pba->index_bg_phi_prime_prime_smg] + (G2 + (G3_phi + (-2.)*G4_phiphi)*(-2.)*X)*1./3. + (G4_phi + (G3_X + (-6.)*G4_Xphi + 2.*G5_phiphi)*X)*2./3.*H*phi_prime*pow(a,-1); - - }// end of if pba->field_evolution_smg - else{ - - double a, delta_M_pl; - double rho_tot, p_tot; - double Omega_smg; - - a = pvecback_B[pba->index_bi_a]; - delta_M_pl = pvecback_B[pba->index_bi_delta_M_pl_smg]; - - rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; - p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; - - //initialize the values to the defaults - pvecback[pba->index_bg_kineticity_smg] = 0; - pvecback[pba->index_bg_braiding_smg] = 0.; - pvecback[pba->index_bg_tensor_excess_smg] = 0.; - pvecback[pba->index_bg_M2_smg] = 1.; - pvecback[pba->index_bg_delta_M2_smg] = 0.; - pvecback[pba->index_bg_mpl_running_smg] = 0.; - - if (pba->expansion_model_smg == lcdm){ - - double Omega_const_smg = pba->parameters_smg[0]; - - pvecback[pba->index_bg_rho_smg] = Omega_const_smg*pow(pba->H0,2); - pvecback[pba->index_bg_p_smg] = -Omega_const_smg*pow(pba->H0,2); + if (pba->has_dr == _TRUE_) { + class_print_species("Dark Radiation (from decay)",dr); + budget_radiation+=pba->Omega0_dr; } - - if (pba->expansion_model_smg == wowa){ - - double Omega_const_smg = pba->parameters_smg[0]; - double w0 = pba->parameters_smg[1]; - double wa = pba->parameters_smg[2]; - - pvecback[pba->index_bg_rho_smg] = Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1. + w0 + wa)) * exp(3.*wa*(a-1.)); - pvecback[pba->index_bg_p_smg] = (w0+(1-a)*wa) * Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1.+w0+wa)) * exp(3.*wa*(a-1.)); + if (pba->has_idr == _TRUE_) { + class_print_species("Interacting Dark Radiation",idr); + budget_radiation+=pba->Omega0_idr; } - if (pba->expansion_model_smg == wowa_w){ - - double Omega_const_smg = pba->parameters_smg[0]; - double w0 = pba->parameters_smg[1]; - double wa = pba->parameters_smg[2]; - - pvecback[pba->index_bg_w_smg] = w0+(1-a)*wa; - if (pba->initial_conditions_set_smg == _FALSE_) { - // Here we provide wi wf from w= (1-a)*wi+a*wf. - // This is useful to set the initial conditions for the energy density. - // The value inferred here is just a guess, since then the shooting will modify it. - double wi = w0+wa; - double wf = w0; - - pvecback[pba->index_bg_rho_smg] = Omega_const_smg * pow(pba->H0,2)/pow(a,3.*(1. + wi)) * exp(3.*(wi-wf)*(a-1.)); - } - else { - pvecback[pba->index_bg_rho_smg] = pvecback_B[pba->index_bi_rho_smg]; - } - pvecback[pba->index_bg_p_smg] = pvecback[pba->index_bg_w_smg] * pvecback[pba->index_bg_rho_smg]; - - }//ILSWEDE - if (pba->expansion_model_smg == wede){ - - //Doran-Robbers model astro-ph/0601544 - //as implemented in Pettorino et al. 1301.5279 - //TODO: check these expressions, they probably assume the standard evolution/friedmann eqs, etc... - //TODO: rewrite the expressions integrating the equation of state - - double Om0 = pba->parameters_smg[0]; - double w0 = pba->parameters_smg[1]; - double Ome = pba->parameters_smg[2] + 1e-10; - - //NOTE: I've regularized the expression adding a tiny Omega_e - double Om = ((Om0 - Ome*(1.-pow(a,-3.*w0)))/(Om0 + (1.-Om0)*pow(a,3*w0)) + Ome*(1.-pow(a,-3*w0))); - double dOm_da = (3*pow(a,-1 - 3*w0)*(-1 + Om0)*(-2*pow(a,3*w0)*(-1 + Om0)*Ome + Om0*Ome + pow(a,6*w0)*(Om0 - 2*Ome + Om0*Ome))*w0)/pow(-(pow(a,3*w0)*(-1 + Om0)) + Om0,2); //from Mathematica - //I took a_eq = a*rho_r/rho_m, with rho_r = 3*p_tot_wo_smg - double a_eq = 3.*a*p_tot/(pvecback[pba->index_bg_rho_b]+pvecback[pba->index_bg_rho_cdm]); //tested! - double w = a_eq/(3.*(a+a_eq)) -a/(3.*(1-Om)*Om)*dOm_da; - - pvecback[pba->index_bg_rho_smg] = rho_tot*Om/(1.-Om); - //pow(pba->H0,2)/pow(a,3)*Om*(Om-1.)/(Om0-1.)*(1.+a_eq/a)/(1.+a_eq); //this eq is from Pettorino et al, not working - pvecback[pba->index_bg_p_smg] = w*pvecback[pba->index_bg_rho_smg]; - -// if (a>0.9) -// printf("a = %e, w = %f, Om_de = %e, rho_de/rho_t = %e \n",a,w,Om, -// pvecback[pba->index_bg_rho_smg]/(pvecback[pba->index_bg_rho_smg]+rho_tot)); + if ((pba->has_lambda == _TRUE_) || (pba->has_fld == _TRUE_) || (pba->has_scf == _TRUE_) || (pba->has_curvature == _TRUE_) || (pba->has_smg == _TRUE_)) { + printf(" ---> Other Content \n"); } - - rho_tot += pvecback[pba->index_bg_rho_smg]; - p_tot += pvecback[pba->index_bg_p_smg]; - - - Omega_smg = pvecback[pba->index_bg_rho_smg]/rho_tot; //used for some parameterizations - - - if (pba->gravity_model_smg == propto_omega) { - - double c_k = pba->parameters_2_smg[0]; - double c_b = pba->parameters_2_smg[1]; - double c_m = pba->parameters_2_smg[2]; - double c_t = pba->parameters_2_smg[3]; - - pvecback[pba->index_bg_kineticity_smg] = c_k*Omega_smg; - pvecback[pba->index_bg_braiding_smg] = c_b*Omega_smg; - pvecback[pba->index_bg_tensor_excess_smg] = c_t*Omega_smg; - pvecback[pba->index_bg_mpl_running_smg] = c_m*Omega_smg; - pvecback[pba->index_bg_delta_M2_smg] = delta_M_pl; //M2-1 - pvecback[pba->index_bg_M2_smg] = 1.+delta_M_pl; + if (pba->has_lambda == _TRUE_) { + class_print_species("Cosmological Constant",lambda); + budget_other+=pba->Omega0_lambda; } - else if (pba->gravity_model_smg == propto_scale) { - - double c_k = pba->parameters_2_smg[0]; - double c_b = pba->parameters_2_smg[1]; - double c_m = pba->parameters_2_smg[2]; - double c_t = pba->parameters_2_smg[3]; - - pvecback[pba->index_bg_kineticity_smg] = c_k*a; - pvecback[pba->index_bg_braiding_smg] = c_b*a; - pvecback[pba->index_bg_tensor_excess_smg] = c_t*a; - pvecback[pba->index_bg_mpl_running_smg] = c_m*a; - pvecback[pba->index_bg_delta_M2_smg] = delta_M_pl; //M2-1 - pvecback[pba->index_bg_M2_smg] = 1.+delta_M_pl; + if (pba->has_fld == _TRUE_) { + class_print_species("Dark Energy Fluid",fld); + budget_other+=pba->Omega0_fld; } - else if (pba->gravity_model_smg == constant_alphas) { - - double c_k = pba->parameters_2_smg[0]; - double c_b = pba->parameters_2_smg[1]; - double c_m = pba->parameters_2_smg[2]; - double c_t = pba->parameters_2_smg[3]; - - pvecback[pba->index_bg_kineticity_smg] = c_k; - pvecback[pba->index_bg_braiding_smg] = c_b; - pvecback[pba->index_bg_tensor_excess_smg] = c_t; - pvecback[pba->index_bg_mpl_running_smg] = c_m; - pvecback[pba->index_bg_delta_M2_smg] = delta_M_pl; //M2-1 - pvecback[pba->index_bg_M2_smg] = 1.+delta_M_pl; + if (pba->has_scf == _TRUE_) { + class_print_species("Scalar Field",scf); + budget_other+=pba->Omega0_scf; } - else if (pba->gravity_model_smg == eft_alphas_power_law) { - - double M_0 = pba->parameters_2_smg[0]; - double c_k = pba->parameters_2_smg[1]; - double c_b = pba->parameters_2_smg[2]; - double c_t = pba->parameters_2_smg[3]; - double M_0_exp = pba->parameters_2_smg[4]; - double c_k_exp = pba->parameters_2_smg[5]; - double c_b_exp = pba->parameters_2_smg[6]; - double c_t_exp = pba->parameters_2_smg[7]; - - pvecback[pba->index_bg_kineticity_smg] = c_k*pow(a, c_k_exp); - pvecback[pba->index_bg_braiding_smg] = c_b*pow(a, c_b_exp); - pvecback[pba->index_bg_tensor_excess_smg] = c_t*pow(a, c_t_exp); - pvecback[pba->index_bg_mpl_running_smg] = M_0*M_0_exp*pow(a, M_0_exp)/(1. + M_0*pow(a, M_0_exp)); - pvecback[pba->index_bg_delta_M2_smg] = delta_M_pl; //M2-1 - pvecback[pba->index_bg_M2_smg] = 1.+delta_M_pl; + if (pba->has_curvature == _TRUE_) { + class_print_species("Spatial Curvature",k); + budget_other+=pba->Omega0_k; } - else if ((pba->gravity_model_smg == eft_gammas_power_law) || (pba->gravity_model_smg == eft_gammas_exponential)) { - - double Omega=0., g1=0., g2=0., g3=0., Omega_p=0., Omega_pp=0., g3_p=0.; - double Omega_0=0., g1_0=0., g2_0=0., g3_0=0.; - double Omega_exp=0., g1_exp=0., g2_exp=0., g3_exp=0.; - - Omega_0 = pba->parameters_2_smg[0]; - g1_0 = pba->parameters_2_smg[1]; - g2_0 = pba->parameters_2_smg[2]; - g3_0 = pba->parameters_2_smg[3]; - Omega_exp = pba->parameters_2_smg[4]; - g1_exp = pba->parameters_2_smg[5]; - g2_exp = pba->parameters_2_smg[6]; - g3_exp = pba->parameters_2_smg[7]; - - if (pba->gravity_model_smg == eft_gammas_power_law) { - Omega = Omega_0*pow(a,Omega_exp); - Omega_p = Omega_0*Omega_exp*pow(a,Omega_exp-1.); // Derivative w.r.t. the scale factor - Omega_pp = Omega_0*Omega_exp*(Omega_exp-1.)*pow(a,Omega_exp-2.); // Derivative w.r.t. the scale factor - g1 = g1_0*pow(a,g1_exp); - g2 = g2_0*pow(a,g2_exp); - g3 = g3_0*pow(a,g3_exp); - g3_p = g3_0*g3_exp*pow(a,g3_exp-1.); // Derivative w.r.t. the scale factor - } - else { //(pba->gravity_model_smg == eft_gammas_exponential) - Omega = exp(Omega_0*pow(a,Omega_exp))-1.; - Omega_p = Omega_0*Omega_exp*pow(a,Omega_exp-1.)*exp(Omega_0*pow(a,Omega_exp)); // Derivative w.r.t. the scale factor - Omega_pp = Omega_0*Omega_exp*pow(a,Omega_exp-2.)*exp(Omega_0*pow(a,Omega_exp))*(Omega_exp-1.+Omega_0*Omega_exp*pow(a,Omega_exp)); // Derivative w.r.t. the scale factor - g1 = exp(g1_0*pow(a,g1_exp))-1.; - g2 = exp(g2_0*pow(a,g2_exp))-1.; - g3 = exp(g3_0*pow(a,g3_exp))-1.; - g3_p = g3_0*g3_exp*pow(a,g3_exp-1.)*exp(g3_0*pow(a,g3_exp)); // Derivative w.r.t. the scale factor - } - - - double c_over_H2 = (-pow(a,2.)*Omega_pp + 3.*(Omega + a*Omega_p/2.)*(rho_tot + p_tot)/rho_tot + 3.*(pvecback[pba->index_bg_rho_smg]+pvecback[pba->index_bg_p_smg])/rho_tot)/2.; - - pvecback[pba->index_bg_kineticity_smg] = 2.*(2.*g1*pow(pba->H0,2.)/rho_tot + c_over_H2)/(1. + Omega + g3); - pvecback[pba->index_bg_braiding_smg] = -(g2*pba->H0/sqrt(rho_tot) + a*Omega_p)/(1. + Omega + g3); - pvecback[pba->index_bg_tensor_excess_smg] = -g3/(1. + Omega + g3); - pvecback[pba->index_bg_mpl_running_smg] = a*(Omega_p + g3_p)/(1. + Omega + g3); - pvecback[pba->index_bg_delta_M2_smg] = delta_M_pl; //M2-1 - pvecback[pba->index_bg_M2_smg] = 1.+delta_M_pl; - - }//end of look pover models - - - pvecback[pba->index_bg_H] = sqrt(rho_tot-pba->K/a/a); - /** - compute derivative of H with respect to conformal time */ - pvecback[pba->index_bg_H_prime] = - (3./2.) * (rho_tot + p_tot) * a + pba->K/a; - - //add friction term - if (pba->hubble_evolution == _TRUE_ && pba->initial_conditions_set_smg == _TRUE_){ - pvecback[pba->index_bg_H] = pvecback_B[pba->index_bi_H]; - /** - compute derivative of H with respect to conformal time */ - pvecback[pba->index_bg_H_prime] += - a*pba->hubble_friction*(pvecback_B[pba->index_bi_H]*pvecback_B[pba->index_bi_H] - rho_tot - pba->K/a/a); + if (pba->has_smg == _TRUE_) { + class_print_species("Scalar Modified Gravity",smg); + budget_other+=pba->Omega0_smg; } - // Compute time derivative of rho_smg - if (pba->rho_evolution_smg == _TRUE_){ - pvecback[pba->index_bg_rho_prime_smg] = -3.*a*pvecback[pba->index_bg_H]*(1.+pvecback[pba->index_bg_w_smg])*pvecback[pba->index_bg_rho_smg]; + printf(" ---> Total budgets \n"); + printf(" Radiation Omega = %-15g , omega = %-15g \n",budget_radiation,budget_radiation*pba->h*pba->h); + printf(" Non-relativistic Omega = %-15g , omega = %-15g \n",budget_matter,budget_matter*pba->h*pba->h); + if (pba->N_ncdm > 0) { + printf(" - Non-Free-Streaming Matter Omega = %-15g , omega = %-15g \n",pba->Omega0_nfsm,pba->Omega0_nfsm*pba->h*pba->h); + printf(" - Non-Cold Dark Matter Omega = %-15g , omega = %-15g \n",budget_neutrino,budget_neutrino*pba->h*pba->h); } - -}//end of parameterized mode - - // add a value to the kineticity to avoid problems with perturbations in certain models. - // NOTE: this needs to be done here to avoid interfering with the equations - pvecback[pba->index_bg_kineticity_smg] += pba->kineticity_safe_smg; - - // kinetic term - pvecback[pba->index_bg_kinetic_D_smg] = 3./2.*pow(pvecback[pba->index_bg_braiding_smg],2) + pvecback[pba->index_bg_kineticity_smg]; - - //Derivatives of the BS functions and others. Set to zero here and computed numerically once the background is integrated (needed so that debuggers don't complain). - - pvecback[pba->index_bg_kineticity_prime_smg] = 0.; - pvecback[pba->index_bg_braiding_prime_smg] = 0.; - pvecback[pba->index_bg_mpl_running_prime_smg] = 0.; - pvecback[pba->index_bg_tensor_excess_prime_smg] = 0.; - pvecback[pba->index_bg_H_prime_prime] = 0.; - pvecback[pba->index_bg_p_tot_wo_prime_smg] = 0.; - pvecback[pba->index_bg_p_prime_smg] = 0.; - pvecback[pba->index_bg_cs2_smg] = 0.; - pvecback[pba->index_bg_kinetic_D_prime_smg] = 0.; - pvecback[pba->index_bg_cs2num_smg] = 0.; - pvecback[pba->index_bg_cs2num_prime_smg] = 0.; - pvecback[pba->index_bg_lambda_1_smg] = 0.; - pvecback[pba->index_bg_lambda_2_smg] = 0.; - pvecback[pba->index_bg_lambda_3_smg] = 0.; - pvecback[pba->index_bg_lambda_4_smg] = 0.; - pvecback[pba->index_bg_lambda_5_smg] = 0.; - pvecback[pba->index_bg_lambda_6_smg] = 0.; - pvecback[pba->index_bg_lambda_7_smg] = 0.; - pvecback[pba->index_bg_lambda_8_smg] = 0.; - pvecback[pba->index_bg_lambda_9_smg] = 0.; - pvecback[pba->index_bg_lambda_10_smg] = 0.; - pvecback[pba->index_bg_lambda_11_smg] = 0.; - pvecback[pba->index_bg_lambda_2_prime_smg] = 0.; - pvecback[pba->index_bg_lambda_8_prime_smg] = 0.; - pvecback[pba->index_bg_lambda_9_prime_smg] = 0.; - pvecback[pba->index_bg_lambda_11_prime_smg] = 0.; - if (pba->field_evolution_smg == _FALSE_ && pba->M_pl_evolution_smg == _FALSE_){ - pvecback[pba->index_bg_mpl_running_smg] = 0.; - } - - /* Check required conditions for the gravity_models. */ - if ( (pba->skip_stability_tests_smg == _FALSE_) && (pba->parameters_tuned_smg == _TRUE_) && (pba->Omega_smg_debug == 0) ){ - double a = pvecback_B[pba->index_bi_a]; - if (pba->is_quintessence_smg == _TRUE_){ - /* Check that w is not lower than w < -1 for quintessence */ - class_test( (pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg] < -(1 + pba->quintessence_w_safe_smg)), - pba->error_message, - "Dark Energy equation of state at a = %e is w = %e, lower than w = -(1 + th), with threshold, th = %e. Quintessence models can only have w > -1. Aborting.\n", a, pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg], pba->quintessence_w_safe_smg); - - class_test(( (pvecback[pba->index_bg_rho_smg] / (pba->Omega0_smg*pow(pba->H0,2)) + 1e-3) < 1), - pba->error_message, - "Dark Energy density, rho_smg = %e, at a = %e is lower than its given present value, Omega0_smg*H0^2= %e, since quintessence models have w > -1, it will never be reached. Aborting.\n", pvecback[pba->index_bg_rho_smg], a, pba->Omega0_smg*pow(pba->H0,2) ); - } - } - - return _SUCCESS_; - -} - -int background_gravity_parameters( - struct background *pba - ){ - - switch (pba->gravity_model_smg) { - - case quintessence_monomial: - printf("Modified gravity: quintessence_monomial with parameters: \n"); - printf("-> N = %g, V0 = %g, V0* = %g, phi_prime_ini = %g, phi_ini = %g \n", - pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[1]*pow(pba->H0/pba->h,2), - pba->parameters_smg[2], pba->parameters_smg[3]); - break; - - case quintessence_tracker: - printf("Modified gravity: quintessence_tracker with parameters: \n"); - printf("-> K_ini = %g, P_ini = %g, V0 = %g, V0* = %g, n = %g, m = %g, lambda=%g \n", - pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[2]*pow(pba->H0/pba->h,2), - pba->parameters_smg[2], pba->parameters_smg[3], pba->parameters_smg[4], pba->parameters_smg[5]); - break; - - case alpha_attractor_canonical: - printf("Modified gravity: alpha_attractor_canonical with parameters: \n"); - printf("-> f = phi/sqrt(alpha) \n"); - printf("-> phi_prime_ini = %g, f_ini = %g, alpha = %g, c = %g, p = %g, n = %g \n", - pba->parameters_smg[0], pba->parameters_smg[1], pba->parameters_smg[2], - pba->parameters_smg[3], pba->parameters_smg[4], pba->parameters_smg[5]); - break; - - case galileon: - printf("Modified gravity: covariant Galileon with parameters: \n"); - printf(" -> c_1 = %g, c_2 = %g, c_3 = %g \n c_4 = %g, c_5 = %g, xi_ini = %g (xi_end = %g) \n", - pba->parameters_smg[1],pba->parameters_smg[2],pba->parameters_smg[3],pba->parameters_smg[4],pba->parameters_smg[5],pba->parameters_smg[0], pba->xi_0_smg); - break; - - case brans_dicke: - printf("Modified gravity: Brans Dicke with parameters: \n"); - printf(" -> Lambda = %g, omega_BD = %g, \n phi_ini = %g (phi_0 = %g), phi_prime_ini = %g \n", - pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2],pba->phi_0_smg,pba->parameters_smg[3]); - break; - - case nkgb: - printf("Modified gravity: Kinetic Gravity Braiding with K=-X and G=1/n g^(2n-1)/2 * X^n with parameters: \n"); - printf(" -> g = %g, n = %g, phi_ini = 0.0, smg density fraction from shift charge term = %g. \n", - pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); - break; - - case propto_omega: - printf("Modified gravity: propto_omega with parameters: \n"); - printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], - pba->parameters_2_smg[4]); - break; - - case propto_scale: - printf("Modified gravity: propto_scale with parameters: \n"); - printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], - pba->parameters_2_smg[4]); - break; - - case constant_alphas: - printf("Modified gravity: constant_alphas with parameters: \n"); - printf(" -> c_K = %g, c_B = %g, c_M = %g, c_T = %g, M_*^2_init = %g \n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], - pba->parameters_2_smg[4]); - break; - - case eft_alphas_power_law: - printf("Modified gravity: eft_alphas_power_law with parameters: \n"); - printf(" -> M_*^2_0 = %g, c_K = %g, c_B = %g, c_T = %g, M_*^2_exp = %g, c_K_exp = %g, c_B_exp = %g, c_T_exp = %g\n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3], - pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); - break; - - case eft_gammas_power_law: - printf("Modified gravity: eft_gammas_power_law with parameters: \n"); - printf(" -> Omega_0 = %g, gamma_1 = %g, gamma_2 = %g, gamma_3 = %g, Omega_0_exp = %g, gamma_1_exp = %g, gamma_2_exp = %g, gamma_3_exp = %g \n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3],pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); - break; - - case eft_gammas_exponential: - printf("Modified gravity: eft_gammas_exponential with parameters: \n"); - printf(" -> Omega_0 = %g, gamma_1 = %g, gamma_2 = %g, gamma_3 = %g, Omega_0_exp = %g, gamma_1_exp = %g, gamma_2_exp = %g, gamma_3_exp = %g \n", - pba->parameters_2_smg[0],pba->parameters_2_smg[1],pba->parameters_2_smg[2],pba->parameters_2_smg[3],pba->parameters_2_smg[4],pba->parameters_2_smg[5],pba->parameters_2_smg[6],pba->parameters_2_smg[7]); - break; - - default: - printf("Modified gravity: output not implemented in background_gravity_parameters() \n"); - - - } - - if(pba->field_evolution_smg==_FALSE_) { - switch (pba->expansion_model_smg) { - - case lcdm: - printf("Parameterized model with LCDM expansion \n"); - printf("-> Omega_smg = %f \n",pba->parameters_smg[0]); - break; - - case wowa: - printf("Parameterized model with CPL expansion \n"); - printf("-> Omega_smg = %f, w0 = %f, wa = %e \n", - pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); - break; - - case wowa_w: - printf("Parameterized model with CPL expansion \n"); - printf("-> Omega_smg = %f, w0 = %f, wa = %e \n", - pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); - break; - - case wede: //ILSWEDE - printf("Parameterized model with variable EoS + Early DE \n"); - printf("-> Omega_smg = %f, w = %f, Omega_e = %f \n",pba->parameters_smg[0],pba->parameters_smg[1],pba->parameters_smg[2]); - break; - - default: - printf("Parameterized model: expansion hisotry output not implemented in background_gravity_parameters() \n"); - + if ((pba->has_lambda == _TRUE_) || (pba->has_fld == _TRUE_) || (pba->has_scf == _TRUE_) || (pba->has_curvature == _TRUE_)) { + printf(" Other Content Omega = %-15g , omega = %-15g \n",budget_other,budget_other*pba->h*pba->h); } - + printf(" TOTAL Omega = %-15g , omega = %-15g \n",budget_radiation+budget_matter+budget_other,(budget_radiation+budget_matter+budget_other)*pba->h*pba->h); + printf(" -------------------------------------------------------------------- \n"); } return _SUCCESS_; - } /** @@ -4002,8 +3034,8 @@ int background_gravity_parameters( * - the potential \f$ V(\phi) \f$ is given in units of \f$ m_{pl}^2/Mpc^2 \f$. * With this convention, we have * \f$ \rho^{class} = (8 \pi G)/3 \rho^{physical} = 1/(3 m_{pl}^2) \rho^{physical} = 1/3 * [ 1/(2a^2) (\phi')^2 + V(\phi) ] \f$ - and \f$ \rho^{class} \f$ has the proper dimension \f$ Mpc^-2 \f$. - */ + and \f$ \rho^{class} \f$ has the proper dimension \f$ Mpc^-2 \f$. +*/ double V_e_scf(struct background *pba, double phi @@ -4024,7 +3056,7 @@ double dV_e_scf(struct background *pba, // double scf_A = pba->scf_parameters[2]; // double scf_B = pba->scf_parameters[3]; - return -scf_lambda*V_scf(pba,phi); + return -scf_lambda*V_e_scf(pba,phi); } double ddV_e_scf(struct background *pba, @@ -4035,7 +3067,7 @@ double ddV_e_scf(struct background *pba, // double scf_A = pba->scf_parameters[2]; // double scf_B = pba->scf_parameters[3]; - return pow(-scf_lambda,2)*V_scf(pba,phi); + return pow(-scf_lambda,2)*V_e_scf(pba,phi); } @@ -4094,7 +3126,7 @@ double V_scf( double dV_scf( struct background *pba, - double phi) { + double phi) { return dV_e_scf(pba,phi)*V_p_scf(pba,phi) + V_e_scf(pba,phi)*dV_p_scf(pba,phi); } diff --git a/source/distortions.c b/source/distortions.c new file mode 100644 index 00000000..b198217e --- /dev/null +++ b/source/distortions.c @@ -0,0 +1,1980 @@ +/** @file distortions.c Documented module on spectral distortions + * Matteo Lucca, 31.10.2018 + * Nils Schoeneberg, 18.02.2019 + * + * When using this module please consider citing: + * Lucca et al. 2019 (JCAP02(2020)026, arXiv:1910.04619) + * as well as related pioneering works such as: + * Chluba & Sunyaev 2012 (MNRAS419(2012)1294-1314, arXiv:1109.6552) + * Chluba 2013 (MNRAS434(2013)352, arXiv:1304.6120) + * Clube & Jeong 2014 (MNRAS438(2014)2065–2082, arXiv:1306.5751) + */ + +#include "distortions.h" + +/** + * Initialize the distortions structure. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param ppt Input: pointer to the perturbations structure + * @param ppm Input: pointer to the primordial structure + * @param psd Input/Output: pointer to initialized distortions structure + * @return the error status + */ + +int distortions_init(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct primordial * ppm, + struct distortions * psd) { + + if (psd->has_distortions == _FALSE_) { + if (psd->distortions_verbose > 0) + printf("No distortions requested. Distortions module skipped.\n"); + return _SUCCESS_; + } + if (psd->distortions_verbose > 0) { + printf("Computing spectral distortions\n"); + } + + class_test(pth->compute_damping_scale==_FALSE_, + psd->error_message, + "Cannot compute spectral distortions without damping scale\n"); + + /** Set physical constants */ + class_call(distortions_constants(ppr,pba,pth,psd), + psd->error_message, + psd->error_message); + + if (psd->sd_branching_approx == bra_exact) { + /** Set/Check the distortions detector */ + class_call(distortions_set_detector(ppr,psd), + psd->error_message, + psd->error_message); + } + + /** Assign values to all indices in the distortions structure */ + class_call(distortions_indices(psd), + psd->error_message, + psd->error_message); + + /** Define z and x arrays */ + class_call(distortions_get_xz_lists(ppr,pba,pth,psd), + psd->error_message, + psd->error_message); + + /** Define branching ratios */ + class_call(distortions_compute_branching_ratios(ppr,psd), + psd->error_message, + psd->error_message); + + /** Define heating function */ + class_call(distortions_compute_heating_rate(ppr,pba,pth,ppt,ppm,psd), + psd->error_message, + psd->error_message); + + /** Define final spectral distortions */ + class_call(distortions_compute_spectral_shapes(ppr,pba,pth,psd), + psd->error_message, + psd->error_message); + + return _SUCCESS_; +} + +/** + * Free all memory space allocated by distortions_init() + * + * @param psd Input: pointer to distortions structure (to be freed) + * @return the error status + */ + +int distortions_free(struct distortions * psd) { + + /** Define local variables */ + int index_type; + + if (psd->has_distortions == _TRUE_) { + /** Delete lists */ + free(psd->z); + free(psd->z_weights); + free(psd->x); + free(psd->x_weights); + + /** Delete noise file */ + if (psd->has_detector_file == _TRUE_) { + free(psd->delta_Ic_array); + } + + /** Delete branching ratios */ + for (index_type=0;index_typetype_size;++index_type){ + free(psd->br_table[index_type]); + } + free(psd->br_table); + + /** Delete heating functions */ + free(psd->dQrho_dz_tot); + + /** Delete distortion shapes */ + for (index_type=0;index_typetype_size;++index_type){ + free(psd->sd_shape_table[index_type]); + free(psd->sd_table[index_type]); + } + free(psd->sd_shape_table); + free(psd->sd_table); + + /** Delete distortion amplitudes */ + free(psd->sd_parameter_table); + + /** Delete total distortion */ + free(psd->DI); + } + + return _SUCCESS_; +} + +/** + * Calculate physical constant. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_constants(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct distortions * psd){ + + /** Define unit conventions */ + psd->x_to_nu = (_k_B_*pba->T_cmb/_h_P_)/1e9; // [GHz] + psd->DI_units = 2.*pow(_k_B_*pba->T_cmb,3.)/pow(_h_P_*_c_,2.); // [W/(m^2 Hz sr)] + + /** Define transition redshifts z_muy and z_th */ + psd->z_muy = 5.e4; + psd->z_th = 1.98e6* + pow((1.-pth->YHe/2.)/0.8767,-2./5.)* + pow(pba->Omega0_b*pow(pba->h,2.)/0.02225,-2./5.)* + pow(pba->T_cmb/2.726,1./5.); + + class_sprintf(psd->sd_PCA_file_generator,"%s/%s",ppr->sd_external_path,"generate_PCA_files.py"); + class_sprintf(psd->sd_detector_list_file,"%s/%s",ppr->sd_external_path,"detectors_list.dat"); + + return _SUCCESS_; +} + +/** + * Check wether the detector name and the detector properties + * are a valid combination. + * + * There are four options for the user + * + * defined_name = true, defined_detector = true + * Meaning: The user requests a specific detector with specific settings + * --> Check that the detector exists and has the same settings + * + * defined_name = true, defined_detector = false + * Meaning: The user requests a specific detector + * --> Check that the detector exists and use the given settings + * + * defined_name = false, defined_detector = true + * Meaning: The user requests specific settings, but does not name their detector + * --> Check that the settings exists, or create them + * + * defined_name = false, defined_detector = false + * Meaning: The user just wants the default detector and settings + * --> Just use the default settings and skip this function + * + * @param ppr Input: pointer to precision structure + * @param psd Input/Output: pointer to initialized distortions structure + * @return the error status + */ + +int distortions_set_detector(struct precision * ppr, + struct distortions * psd){ + + /** Local variables */ + FILE* det_list_file; + char line[_LINE_LENGTH_MAX_]; + DetectorName detector_name; + DetectorFileName detector_noise_file_name; + double nu_min,nu_max,nu_delta,delta_Ic; + int has_detector_noise_file; + int N_bins; + char * left; + int headlines = 0; + int found_detector; + + has_detector_noise_file = _FALSE_; + + if (psd->has_user_defined_name == _FALSE_) { + /* The user wants the default */ + if (psd->has_user_defined_detector == _FALSE_ && psd->has_detector_file == _FALSE_) { + if (psd->distortions_verbose > 0) { + printf(" -> Using the default (%s) detector\n",psd->sd_detector_name); + } + return _SUCCESS_; // Nothing more to do + } + /* The user wants a new detector with specified settings, but without name */ + else { + /* Generate a custom name for this custom detector, so we can check if it has already been defined */ + if (psd->has_detector_file == _TRUE_) { + class_sprintf(psd->sd_detector_name, + "Custom__%.80s__Detector", + psd->sd_detector_file_name); + } + else { + class_sprintf(psd->sd_detector_name, + "Custom__%7.2e_%7.2e_%7.2e_%i_%7.2e__Detector", + psd->sd_detector_nu_min,psd->sd_detector_nu_max,psd->sd_detector_nu_delta,psd->sd_detector_bin_number,psd->sd_detector_delta_Ic); + } + } + } + + /** Open file */ + class_open(det_list_file, psd->sd_detector_list_file, "r", + psd->error_message); + + found_detector = _FALSE_; + while (fgets(line,_LINE_LENGTH_MAX_-1,det_list_file) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + if (left[0] > 39) { + if (sscanf(line,"%s %lg %lg %lg %i %lg",detector_name,&nu_min,&nu_max,&nu_delta,&N_bins,&delta_Ic) != 6) { + has_detector_noise_file = _TRUE_; + if (sscanf(line,"%s %s",detector_name,detector_noise_file_name) != 2) { + class_stop(psd->error_message, + "Could not read line %i in file '%s'\n",headlines,psd->sd_detector_list_file); + } + } + else { + has_detector_noise_file = _FALSE_; + } + + /* Detector has been found */ + if (strcmp(psd->sd_detector_name,detector_name)==0) { + if (psd->distortions_verbose > 0){ + printf(" -> Found detector %s (user defined = %s)\n",detector_name,(psd->has_user_defined_detector?"TRUE":"FALSE")); + } + found_detector = _TRUE_; + + if (has_detector_noise_file == _TRUE_) { + if (psd->distortions_verbose > 1){ + printf(" -> Properties: Noise file name = %s \n", + detector_noise_file_name); + } + if (psd->has_detector_file == _TRUE_) { + class_test(strcmp(psd->sd_detector_file_name,detector_noise_file_name) != 0, + psd->error_message, + "Noise file path (sd_detector_file_name) disagrees between stored detector '%s' and input -> %s (input) vs %s (stored)", + detector_name,psd->sd_detector_file_name,detector_noise_file_name); + } + class_test(psd->has_user_defined_detector, + psd->error_message, + "Detector property type disagrees between stored detector '%s' and input -> Userdefined (input) vs Noisefile (stored)", + detector_name); + class_sprintf(psd->sd_detector_file_name, "%s", detector_noise_file_name); + psd->has_detector_file = has_detector_noise_file; + } + else { + if (psd->distortions_verbose > 1) { + printf(" -> Properties: nu_min = %lg nu_max = %lg delta_nu = %lg N_bins = %i delta_Ic = %lg \n", + nu_min, nu_max, nu_delta, N_bins, delta_Ic); + } + /* If the user has defined the detector, check that their and our definitions agree */ + if (psd->has_user_defined_detector == _TRUE_) { + class_test(fabs(psd->sd_detector_nu_min-nu_min)>ppr->tol_sd_detector, + psd->error_message, + "Minimal frequency (sd_detector_nu_min) disagrees between stored detector '%s' and input -> %.10e (input) vs %.10e (stored)", + detector_name,psd->sd_detector_nu_min,nu_min); + class_test(fabs(psd->sd_detector_nu_max-nu_max)>ppr->tol_sd_detector, + psd->error_message, + "Maximal frequency (sd_detector_nu_min) disagrees between stored detector '%s' and input -> %.10e (input) vs %.10e (stored)", + detector_name,psd->sd_detector_nu_max,nu_max); + class_test(fabs(psd->sd_detector_nu_delta-nu_delta)>ppr->tol_sd_detector, + psd->error_message, + "Delta frequency (sd_detector_nu_delta) disagrees between stored detector '%s' and input -> %.10e (input) vs %.10e (stored)", + detector_name,psd->sd_detector_nu_delta,nu_delta); + class_test(abs(psd->sd_detector_bin_number-N_bins)>ppr->tol_sd_detector, + psd->error_message, + "Number of bins (sd_detector_bin_number) disagrees between stored detector '%s' and input -> %i (input) vs %i (stored)", + detector_name,psd->sd_detector_bin_number,N_bins); + class_test(fabs(psd->sd_detector_delta_Ic-delta_Ic)>ppr->tol_sd_detector, + psd->error_message, + "Detector accuracy (sd_detector_delta_Ic) disagrees between stored detector '%s' and input -> %.10e (input) vs %.10e (stored)", + detector_name,psd->sd_detector_delta_Ic,delta_Ic); + } + class_test(psd->has_detector_file, + psd->error_message, + "Detector property type disagrees between stored detector '%s' and input -> Noisefile (input) vs Userdefined (stored)", + detector_name); + + /* In any case, just take the detector definition from the file */ + psd->sd_detector_nu_min = nu_min; + psd->sd_detector_nu_max = nu_max; + psd->sd_detector_nu_delta = nu_delta; + psd->sd_detector_bin_number = N_bins; + psd->sd_detector_delta_Ic = delta_Ic; + } + } + } + } + + fclose(det_list_file); + + /* If the detector has not been found, either the user has specified the settings and we create a new one, + * or the user hasn't specified the settings and we have to stop */ + if (found_detector == _FALSE_) { + if (psd->has_user_defined_detector==_TRUE_ || psd->has_detector_file==_TRUE_) { + if (psd->distortions_verbose > 0) { + printf(" -> Generating detector '%s' \n",psd->sd_detector_name); + } + class_call(distortions_generate_detector(ppr,psd), + psd->error_message, + psd->error_message); + } + else { + class_stop(psd->error_message, + "You asked for detector '%s', but it was not in the database '%s'.\nPlease check the name of your detector, or specify its properties if you want to create a new one", + psd->sd_detector_name, + psd->sd_detector_list_file); + } + } + + if (psd->has_detector_file ==_TRUE_) { + class_call(distortions_read_detector_noisefile(ppr,psd), + psd->error_message, + psd->error_message); + } + + return _SUCCESS_; +} + +/** + * Evaluate branching ratios, spectral shapes, E and S vectors for a given detector as + * described in external/distortions/README using generate_PCA_files.py. + * + * @param ppr Input: pointer to precision structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_generate_detector(struct precision * ppr, + struct distortions * psd){ + + /** Define local variables*/ + int is_success; + char temporary_string[2*_FILENAMESIZE_+2*_MAX_DETECTOR_NAME_LENGTH_+1024]; + + + /* Test first whether or not python exists*/ + if (psd->distortions_verbose > 0) { + printf(" -> Testing python\n"); + } + is_success = system("python --version"); + class_test(is_success == -1, + psd->error_message, + "The command 'python --version' failed.\nPlease install a valid version of python."); + + /* Then activate the PCA generator*/ + if (psd->distortions_verbose > 0) { + printf(" -> Executing the PCA generator\n"); + } + + if (psd->has_detector_file == _TRUE_) { + class_sprintf(temporary_string,"python %s %s %s %s %.10e %.10e %i %i %.10e %.10e %.10e", + psd->sd_PCA_file_generator, + psd->sd_detector_name, + ppr->sd_external_path, + psd->sd_detector_file_name, + ppr->sd_z_min, + ppr->sd_z_max, + ppr->sd_z_size, + 6, + psd->z_th, + psd->DI_units, + psd->x_to_nu); + + } + else { + class_sprintf(temporary_string,"python %s %s %.10e %.10e %.10e %i %.10e %.10e %i %.10e %i %.10e %.10e %.10e", + psd->sd_PCA_file_generator, + psd->sd_detector_name, + psd->sd_detector_nu_min, + psd->sd_detector_nu_max, + psd->sd_detector_nu_delta, + psd->sd_detector_bin_number, + ppr->sd_z_min, + ppr->sd_z_max, + ppr->sd_z_size, + psd->sd_detector_delta_Ic, + 6, + psd->z_th, + psd->DI_units, + psd->x_to_nu); + } + is_success = system(temporary_string); + class_test(is_success == -1, + psd->error_message, + "The command 'python %s' failed.\nPlease make sure the file exists.",psd->sd_PCA_file_generator); + + return _SUCCESS_; +} + +/** + * Reads the external detector noise file containing the + * array of frequencies and the detector accuracies + * Assumed to be in units of [GHz] and [10^-26 W/m^2/Hz/sr] respectively + * + * @param ppr Input: pointer to the precisions structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ +int distortions_read_detector_noisefile(struct precision * ppr, + struct distortions * psd){ + + /** Define local variables */ + int index_x; + double nu_temp,delta_Ic_temp; + FILE * infile; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + int numcols; + + /** Open file */ + class_sprintf(psd->sd_detector_noise_file,"%s/%s",ppr->sd_external_path,psd->sd_detector_file_name); + class_open(infile, psd->sd_detector_noise_file, "r", psd->error_message); + + /** Read header */ + psd->br_exact_Nz = 0; + while (fgets(line,_LINE_LENGTH_MAX_-1,infile) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + if (left[0] > 39) { + /** Read number of lines, infer size of arrays and allocate them */ + class_test(sscanf(line,"%d %d", &psd->x_size, &numcols) != 2, + psd->error_message, + "could not header (number of lines, number of columns) at line %i in file '%s' \n",headlines,psd->sd_detector_noise_file); + class_test(numcols !=2, + psd->error_message, + "Incorrect number of columns in the detector noise file '%s'",psd->sd_detector_noise_file); + + class_alloc(psd->x, psd->x_size*sizeof(double), psd->error_message); + class_alloc(psd->delta_Ic_array, psd->x_size*sizeof(double), psd->error_message); + break; + } + } + + /** Read parameters */ + for (index_x=0; index_xx_size; ++index_x){ + class_test(fscanf(infile, "%le", + &(nu_temp))!=1, // [-] + psd->error_message, + "Could not read nu at line %i in file '%s'",index_x+headlines,psd->sd_detector_noise_file); + psd->x[index_x] = nu_temp/psd->x_to_nu; + class_test(fscanf(infile, "%le", + &(delta_Ic_temp))!=1, // [-] + psd->error_message, + "Could not read delta_Ic(nu) at line %i in file '%s'",index_x+headlines,psd->sd_detector_noise_file); + psd->delta_Ic_array[index_x] = delta_Ic_temp*1e-26; + } + + fclose(infile); + + return _SUCCESS_; +} + +/** + * Assign value to each relevant index in vectors of distortions quantities. + * + * @param psd Input: pointer to distortions structure + * @return the error status + */ + +int distortions_indices(struct distortions * psd) { + + /** Define local variables */ + int index_type = 0; + + /** Define indeces for tables - br_table defined in distortions_compute_branching_ratios, + - sd_parameter_table and + - sd_table defined in distortions_compute_spectral_shapes */ + class_define_index(psd->index_type_g,_TRUE_,index_type,1); + class_define_index(psd->index_type_y,_TRUE_,index_type,1); + class_define_index(psd->index_type_mu,_TRUE_,index_type,1); + class_define_index(psd->index_type_PCA,_TRUE_,index_type,psd->sd_PCA_size); + + psd->type_size = index_type; + + return _SUCCESS_; +} + +/** + * Calculate redshift and frequency vectors and weights for redshift integral. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param psd Input/Output: pointer to initialized distortions structure + * @return the error status + */ + +int distortions_get_xz_lists(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct distortions * psd){ + + /** Define local variables */ + int index_z, index_x; + + /** Define and allocate z array */ + psd->z_min = ppr->sd_z_min; + psd->z_max = ppr->sd_z_max; + psd->z_size = ppr->sd_z_size; + psd->z_delta = (log(psd->z_max)-log(psd->z_min))/psd->z_size; + + class_alloc(psd->z, + psd->z_size*sizeof(double), + psd->error_message); + + for (index_z = 0; index_z < psd->z_size; index_z++) { + psd->z[index_z] = exp(log(psd->z_min+1)+psd->z_delta*index_z); + } + + /** Define and allocate integrating weights for z array */ + class_alloc(psd->z_weights, + psd->z_size*sizeof(double), + psd->error_message); + class_call(array_trapezoidal_weights( + psd->z, + psd->z_size, + psd->z_weights, + psd->error_message), + psd->error_message, + psd->error_message); + + /** Define and allocate x array */ + if (psd->sd_branching_approx != bra_exact) { + psd->x_min = ppr->sd_x_min; + psd->x_max = ppr->sd_x_max; + psd->x_size = ppr->sd_x_size; + psd->x_delta = (log(psd->x_max)-log(psd->x_min))/psd->x_size; + + class_alloc(psd->x, + psd->x_size*sizeof(double), + psd->error_message); + + for (index_x = 0; index_xx_size; index_x++) { + psd->x[index_x] = exp(log(psd->x_min)+psd->x_delta*index_x); + } + + } + else if (psd->has_detector_file == _FALSE_) { + psd->x_min = psd->sd_detector_nu_min/psd->x_to_nu; + psd->x_max = psd->sd_detector_nu_max/psd->x_to_nu; + psd->x_delta = psd->sd_detector_nu_delta/psd->x_to_nu; + psd->x_size = psd->sd_detector_bin_number+1; + + class_alloc(psd->x, + psd->x_size*sizeof(double), + psd->error_message); + + for (index_x = 0; index_xx_size; index_x++){ + psd->x[index_x] = psd->x_min+psd->x_delta*index_x; + } + } + + /** Define and allocate integrating weights for x array */ + class_alloc(psd->x_weights, + psd->x_size*sizeof(double), + psd->error_message); + class_call(array_trapezoidal_weights( + psd->x, + psd->x_size, + psd->x_weights, + psd->error_message), + psd->error_message, + psd->error_message); + + return _SUCCESS_; +} + +/** + * Calculate branching ratios. + * + * Computing the full evolution of the thermal history of the universe is rather time consuming + * and mathematically challenging. It is therefore not implemented here. However, there are + * (at least) 5 levels of possible approximatin to evaluate the SD branching ratios (see also + * Chluba 2016 for useful discussion) + * 1) Use a sharp transition at z_mu-y and no distortions before z_th ('branching approx'=sharp_sharp) + * 2) Use a sharp transition at z_mu-y and a soft transition at z_th ('branching approx'=sharp_soft) + * 3) Use a soft transition at a_mu-y and z_th as described in Chluba 2013 ('branching approx'=soft_soft) + * In this case, the user must be aware that energy conservation is violated and no residuals + * are taken into consideration. + * 4) Use a soft transition at a_mu-y and z_th imposing conservation of energy + * ('branching approx'=soft_soft_cons) + * 5) Use a PCA method as described in Chluba & Jeong 2014 ('branching approx'=exact) + * In this case, the definition of the BRs is detector dependent and the user has therefore to + * specify the detector type and corresponding characteristics. + * + * All quantities are stored in the table br_table. + * + * @param ppr Input: pointer to the precision structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_compute_branching_ratios(struct precision * ppr, + struct distortions* psd){ + + /** Define local variables */ + int index_z,index_type,index_k; + double f_g, f_y, f_mu; + double *f_E; + double bb_vis; + int last_index = 0; + + /** Allocate space for branching ratios in br_table */ + class_alloc(psd->br_table, + psd->type_size*sizeof(double*), + psd->error_message); + for (index_type=0; index_typetype_size; ++index_type){ + class_alloc(psd->br_table[index_type], + psd->z_size*sizeof(double), + psd->error_message); + } + + /** Calulate branching ratios */ + if (psd->sd_branching_approx != bra_exact) { + for (index_z=0; index_zz_size; ++index_z){ + bb_vis = exp(-pow(psd->z[index_z]/psd->z_th,2.5)); + + /* 1) Calculate branching ratios using sharp_sharp transition */ + if (psd->sd_branching_approx == bra_sharp_sharp) { + if (psd->z[index_z]>psd->z_th) { + f_g = 1.; + f_y = 0.; + f_mu = 0.; + } + if (psd->z[index_z]z_th && psd->z[index_z]>psd->z_muy) { + f_g = 0.; + f_y = 0.; + f_mu = 1.; + } + if (psd->z[index_z]z_muy) { + f_g = 0.; + f_y = 1.; + f_mu = 0.; + } + } + + /* 2) Calculate branching ratios using sharp_soft transition */ + if (psd->sd_branching_approx == bra_sharp_soft) { + f_g = 1.-bb_vis; + if (psd->z[index_z]>psd->z_muy) { + f_y = 0.; + f_mu = bb_vis; + } + if (psd->z[index_z]z_muy) { + f_y = 1.; + f_mu = 0.; + } + } + + /* 3) Calculate branching ratios unsing soft_soft transitions */ + if (psd->sd_branching_approx == bra_soft_soft) { + f_g = 1.-bb_vis; + f_y = 1.0/(1.0+pow((1.0+psd->z[index_z])/(6.0e4),2.58)); + f_mu = bb_vis*(1.-exp(-pow((1.0+psd->z[index_z])/(5.8e4),1.88))); + } + + /* 4) Calculate branching ratios unsing soft_soft_cons transitions */ + if (psd->sd_branching_approx == bra_soft_soft_cons) { + f_g = 1.-bb_vis; + f_y = 1.0/(1.0+pow((1.0+psd->z[index_z])/(6.0e4),2.58)); + f_mu = bb_vis*(1.-f_y); + } + + psd->br_table[psd->index_type_g][index_z] = f_g; + psd->br_table[psd->index_type_y][index_z] = f_y; + psd->br_table[psd->index_type_mu][index_z] = f_mu; + + } + } + else { + /* 5) Calculate branching ratios according to Chluba & Jeong 2014 */ + + /* Read and spline data from file branching_ratios.dat */ + class_call(distortions_read_br_data(ppr,psd), + psd->error_message, + psd->error_message); + class_call(distortions_spline_br_data(psd), + psd->error_message, + psd->error_message); + + /* Allocate local variable */ + class_alloc(f_E, + psd->sd_PCA_size*sizeof(double), + psd->error_message); + + /* Interpolate over z */ + for (index_z=0; index_zz_size; ++index_z){ + class_call(distortions_interpolate_br_data(psd, + psd->z[index_z], + &f_g, + &f_y, + &f_mu, + f_E, + &last_index), + psd->error_message, + psd->error_message); + + /* Store quantities in the table*/ + psd->br_table[psd->index_type_g][index_z] = f_g; + psd->br_table[psd->index_type_y][index_z] = f_y; + psd->br_table[psd->index_type_mu][index_z] = f_mu; + for (index_k=0; index_ksd_PCA_size; ++index_k){ + psd->br_table[psd->index_type_PCA+index_k][index_z] = f_E[index_k]; + } + + } + + /* Free space allocated in distortions_read_br_data */ + class_call(distortions_free_br_data(psd), + psd->error_message, + psd->error_message); + free(f_E); + + } + + return _SUCCESS_; +} + +/** + * Import heating rates from heating structure. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param ppt Input: pointer to the perturbations structure + * @param ppm Input: pointer to the primordial structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_compute_heating_rate(struct precision* ppr, + struct background* pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct primordial * ppm, + struct distortions * psd){ + + /** Define local variables */ + struct noninjection* pni = &(psd->ni); + struct injection* pin = &(pth->in); + + int index_z; + double tau; + int last_index_back; + double *pvecback; + double heat; + double H, a, rho_g; + + if (psd->include_only_exotic == _FALSE_) { + /** Update heating table with second order contributions */ + class_call(noninjection_init(ppr,pba,pth,ppt,ppm,pni), + pni->error_message, + psd->error_message); + } + + /** Allocate space for background vector */ + last_index_back = 0; + class_alloc(pvecback, + pba->bg_size*sizeof(double), + psd->error_message); + + /** Allocate space for total heating function */ + class_alloc(psd->dQrho_dz_tot, + psd->z_size*sizeof(double*), + psd->error_message); + + /* Loop over z and calculate the heating at each point */ + for (index_z=0; index_zz_size; ++index_z){ + + /** Import quantities from background structure */ + class_call(background_tau_of_z(pba, + psd->z[index_z], + &tau), + pba->error_message, + psd->error_message); + class_call(background_at_tau(pba, + tau, + long_info, + inter_closeby, + &last_index_back, + pvecback), + pba->error_message, + psd->error_message); + H = pvecback[pba->index_bg_H]*_c_/_Mpc_over_m_; // [1/s] + a = pvecback[pba->index_bg_a]; // [-] + rho_g = pvecback[pba->index_bg_rho_g]*_Jm3_over_Mpc2_; // [J/m^3] + + heat = 0; + + /** Import heat from non-injection structure */ + if (psd->include_only_exotic == _FALSE_) { + class_call(noninjection_photon_heating_at_z(pni, + psd->z[index_z], + &heat), // [J/(m^3 s)] + pni->error_message, + psd->error_message); + } + + /** Add heat from injection structure */ + if (pth->has_exotic_injection == _TRUE_) { + class_call(injection_deposition_at_z(pth, + psd->z[index_z]), + pin->error_message, + psd->error_message); + heat += pin->pvecdeposition[pin->index_dep_heat]; + } + + /** Calculate total heating rate */ + psd->dQrho_dz_tot[index_z] = heat*a/(H*rho_g); // [-] + } + + free(pvecback); + + if (psd->include_only_exotic == _FALSE_) { + /** Update heating table with second order contributions */ + class_call(noninjection_free(pni), + pni->error_message, + psd->error_message); + } + + return _SUCCESS_; +} + +/** + * Calculate spectral amplitudes and corresponding distortions. + * + * The calculation has been done according to Chluba & Jeong 2014 (arxiv:1306.5751). + * All quantities are stored in the tables sd_parameter_table and sd_table. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_compute_spectral_shapes(struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct distortions * psd){ + + /** Define local variables */ + double * S; + int last_index = 0; + int index_type, index_x, index_k; + double sum_S, sum_G; + double g; + double y_reio, DI_reio; + + /** Allocate space for spectral distortion amplitude in table sd_parameter_table */ + class_alloc(psd->sd_parameter_table, + psd->type_size*sizeof(double), + psd->error_message); + + /** Compute distortion amplitudes corresponding to each branching ratio (g, y and mu) */ + /* Define y, mu, g and mu_k from heating rates */ + for (index_type=0; index_typetype_size; ++index_type){ + class_call(array_trapezoidal_convolution(psd->dQrho_dz_tot, + psd->br_table[index_type], + psd->z_size, + psd->z_weights, + &(psd->sd_parameter_table[index_type]), + psd->error_message), + psd->error_message, + psd->error_message); + + if (index_type>=psd->index_type_PCA) { + /* The S_k are not properly normalized, we have to renormalize here */ + psd->sd_parameter_table[index_type] /= (log(1.+psd->z[1])-log(1.+psd->z[0])); + } + } + + psd->sd_parameter_table[psd->index_type_g] /= 4.; + psd->sd_parameter_table[psd->index_type_y] /= 4.; + psd->sd_parameter_table[psd->index_type_mu] *= 1.401; + + psd->sd_parameter_table[psd->index_type_y] += psd->sd_add_y; + psd->sd_parameter_table[psd->index_type_mu] += psd->sd_add_mu; + + /** Allocate space for distortions shapes in distortions_table */ + class_alloc(psd->sd_shape_table, + psd->type_size*sizeof(double*), + psd->error_message); + for (index_type=0; index_typetype_size; ++index_type){ + class_alloc(psd->sd_shape_table[index_type], + psd->x_size*sizeof(double), + psd->error_message); + } + + /** Calculate spectral shapes */ + if (psd->sd_branching_approx != bra_exact || psd->sd_PCA_size == 0) { + /* If no PCA analysis is required, the shapes have simple analistical form */ + for (index_x=0; index_xx_size; ++index_x){ + psd->sd_shape_table[psd->index_type_g][index_x] = pow(psd->x[index_x],4.)*exp(-psd->x[index_x])/ + pow(1.-exp(-psd->x[index_x]),2.); // [-] + psd->sd_shape_table[psd->index_type_y][index_x] = psd->sd_shape_table[psd->index_type_g][index_x]* + (psd->x[index_x]*(1.+exp(-psd->x[index_x]))/ + (1.-exp(-psd->x[index_x]))-4.); // [-] + psd->sd_shape_table[psd->index_type_mu][index_x] = psd->sd_shape_table[psd->index_type_g][index_x]* + (1./2.19229-1./psd->x[index_x]); // [-] + } + } + else { + /* If PCA analysis is required, the shapes has to be vectorized. This is done in the external + file spectral_shapes.dat using generate_PCA_files.py */ + + /* Read and spline data from file spectral_shapes.dat */ + class_call(distortions_read_sd_data(ppr,psd), + psd->error_message, + psd->error_message); + class_call(distortions_spline_sd_data(psd), + psd->error_message, + psd->error_message); + + /* Allocate local variable */ + class_alloc(S, + psd->sd_PCA_size*sizeof(double), + psd->error_message); + + /* Interpolate over z */ + for (index_x=0; index_xx_size; ++index_x){ + class_call(distortions_interpolate_sd_data(psd, + psd->x[index_x]*psd->x_to_nu, + &psd->sd_shape_table[psd->index_type_g][index_x], + &psd->sd_shape_table[psd->index_type_y][index_x], + &psd->sd_shape_table[psd->index_type_mu][index_x], + S, + &last_index), + psd->error_message, + psd->error_message); + + for (index_k=0; index_ksd_PCA_size; ++index_k){ + psd->sd_shape_table[psd->index_type_PCA+index_k][index_x] = S[index_k]; + } + } + + /* Free allocated space */ + class_call(distortions_free_sd_data(psd), + psd->error_message, + psd->error_message); + free(S); + } + + /** Compute distortion amplitude for residual parameter epsilon */ + /* For the details of the calculation see Chluba & Jeong 2014, left column of page 6 */ + psd->epsilon = 0.; + + if (psd->sd_branching_approx == bra_exact && psd->sd_PCA_size != 0) { + class_call(array_trapezoidal_integral(psd->sd_shape_table[psd->index_type_g], + psd->x_size, + psd->x_weights, + &(sum_G), + psd->error_message), + psd->error_message, + psd->error_message); + for (index_k=0; index_ksd_PCA_size; ++index_k){ + class_call(array_trapezoidal_integral(psd->sd_shape_table[psd->index_type_PCA+index_k], + psd->x_size, + psd->x_weights, + &(sum_S), + psd->error_message), + psd->error_message, + psd->error_message); + psd->epsilon += (4.*sum_S/sum_G)*psd->sd_parameter_table[psd->index_type_PCA+index_k]; + } + } + + /** Allocate space for final spectral distortion */ + class_alloc(psd->DI, + psd->x_size*sizeof(double), + psd->error_message); + + class_alloc(psd->sd_table, + psd->type_size*sizeof(double*), + psd->error_message); + for (index_type=0; index_typetype_size; ++index_type){ + class_alloc(psd->sd_table[index_type], + psd->x_size*sizeof(double), + psd->error_message); + } + + /** Calculate spectral distortions according to Chluba & Jeong 2014 (arxiv:1306.5751, Eq. (11)) */ + for (index_x=0;index_xx_size;++index_x){ + psd->DI[index_x] = 0.; + + for (index_type=0;index_typetype_size;++index_type){ + if (index_type==psd->index_type_g) { + if (psd->include_g_distortion == _TRUE_) { + g = psd->sd_parameter_table[psd->index_type_g]; + psd->sd_table[index_type][index_x] = (1.+g)*g*psd->sd_shape_table[psd->index_type_g][index_x]+ + g*g*0.5*psd->sd_shape_table[psd->index_type_y][index_x]; + } + else { + g = 0.; + psd->sd_table[index_type][index_x] = 0.; + } + } + else { + psd->sd_table[index_type][index_x] = psd->sd_parameter_table[index_type]*psd->sd_shape_table[index_type][index_x]; + } + + psd->DI[index_x] += psd->sd_table[index_type][index_x]; + } + } + + /** Include additional sources of distortions */ + /* Superposition of blackbodies */ + //psd->sd_parameter_table[psd->index_type_y] += 2.525e-7; // CMB Dipole (Chluba & Sunyaev 2004) + //psd->sd_parameter_table[psd->index_type_y] += 4.59e-13; // CMB Quadrupole (Chluba & Sunyaev 2004) + + /* Reionization */ + if (psd->has_SZ_effect == _TRUE_) { + for (index_x=0;index_xx_size;++index_x){ + class_call(distortions_add_effects_reio(pba,pth,psd, + 5.e0, + 2.e-4, + 1./300., + 1./300., + psd->x[index_x], + &y_reio, + &DI_reio), + psd->error_message, + psd->error_message); + psd->DI[index_x] += DI_reio; + } + + psd->sd_parameter_table[psd->index_type_y] += y_reio; + } + + /** Compute total heating */ + psd->Drho_over_rho = psd->sd_parameter_table[psd->index_type_y]*4.+ + psd->sd_parameter_table[psd->index_type_mu]/1.401+ + psd->epsilon; + + if (psd->include_g_distortion == _TRUE_) { + psd->Drho_over_rho += psd->sd_parameter_table[psd->index_type_g]*4.; + } + + /** Print found parameters */ + if (psd->distortions_verbose > 1) { + + if (psd->distortions_verbose > 3 && psd->include_g_distortion == _TRUE_) { + printf(" -> g-parameter %g (Note, that this does not include contributions from earlier than sd_z_max=%g)\n", psd->sd_parameter_table[psd->index_type_g], ppr->sd_z_max); + } + + if (psd->sd_parameter_table[psd->index_type_mu] > 9.e-5) { + printf(" -> mu-parameter = %g. WARNING: The value of your mu-parameter is larger than the FIRAS constraint mu<9e-5.\n", psd->sd_parameter_table[psd->index_type_mu]); + } + else { + printf(" -> mu-parameter = %g\n", psd->sd_parameter_table[psd->index_type_mu]); + } + + if (psd->sd_parameter_table[psd->index_type_y]>1.5e-5) { + printf(" -> y-parameter = %g. WARNING: The value of your y-parameter is larger than the FIRAS constraint y<1.5e-5.\n", psd->sd_parameter_table[psd->index_type_y]); + } + else { + printf(" -> y-parameter = %g\n", psd->sd_parameter_table[psd->index_type_y]); + } + + if (psd->sd_branching_approx == bra_exact && psd->sd_PCA_size != 0) { + if (psd->distortions_verbose > 2) { + for (index_k=0; index_ksd_PCA_size; ++index_k){ + printf(" -> PCA multipole mu_%d = %g\n", index_k+1, psd->sd_parameter_table[psd->index_type_PCA+index_k]); + } + } + printf(" -> epsilon-parameter = %g\n", psd->epsilon); + } + + printf(" -> total injected/extracted heat = %g\n", psd->Drho_over_rho); + } + + return _SUCCESS_; +} + +/** + * Compute relativistic contribution from reionization and structure formation according to + * 1) Nozawa et al. 2005 (up to order 3 in theta_e) or + * 2) Chluba et al. 2012 (up to order ? in ?). Note that, for the moment, this appoximation + * is only valid for cluster temperatures lower than few KeV. + * + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param psd Input: pointer to the distortions structure + * @param T_e Input: electron temperature in keV + * @param Dtau Input: optical depth + * @param beta Input: peculiar velocity of the cluster + * @param beta_z Input: peculiar velocity of the cluster with respect to the line-of-sight + * @param x Input: dimensionless frequency + * @param y_reio Output: y-parameter + * @param DI_reio Output: spectral distortion + * @return the error status + */ + +int distortions_add_effects_reio(struct background * pba, + struct thermodynamics * pth, + struct distortions * psd, + double T_e, + double Dtau, + double beta, + double beta_z, + double x, + double * y_reio, + double * DI_reio){ + + /** Define local variables */ + double theta_e, cos_theta, P_1, P_2, x_tilde, S_tilde; + double G_T, Y_SZ; + double M_low, M_k, D_low, D_k, Q_low, Q_k; + int index_k, index_n; + double Y_0, Y_1, Y_2; + double B_0, B_1, B_2, B_3; + double C_0, C_1, C_2, C_3; + double D_0, D_1, D_2, D_3; + double DI_tSZ_non_rel, DI_tSZ_rel, DI_tSZ, DI_kSZ; + + /* Compute related quantities */ + theta_e = T_e*1.e3/(_m_e_/_GeV_over_kg_*1.e9); + cos_theta = beta_z/beta; + P_1 = cos_theta; + P_2 = (3.*pow(cos_theta,2.)-1.)/2.; + x_tilde = x/tanh(x/2.); // coth=1/tanh + S_tilde = x/sinh(x/2.); + + G_T = pow(x,4.)*exp(-x)/pow(1.-exp(-x),2.); + Y_SZ = G_T*(x_tilde-4.); + + double Delta_x[8] = {-1., + x_tilde, + -(pow(x_tilde,2.) + +pow(S_tilde,2.)/2.), + x_tilde*(pow(x_tilde,2.) + +pow(S_tilde,2.)*2.), + -(pow(x_tilde,4.) + +pow(x_tilde,2.)*pow(S_tilde,2.)*11./2. + +pow(S_tilde,4.)), + x_tilde*(pow(x_tilde,4.) + +pow(x_tilde,2.)*pow(S_tilde,2.)*13. + +pow(S_tilde,4.)*17./2.), + -(pow(x_tilde,6.) + +pow(x_tilde,4.)*pow(S_tilde,2.)*57./2. + +pow(x_tilde,2.)*pow(S_tilde,4.)*45. + +pow(S_tilde,6.)*17./4.), + x_tilde*(pow(x_tilde,6.) + +pow(x_tilde,4.)*pow(S_tilde,2.)*60. + +pow(x_tilde,2.)*pow(S_tilde,4.)*192. + +pow(S_tilde,6.)*62.)}; + + /** Thermal SZ effect (TSZ) */ + /* Fill coefficient tables from appendix A1 of Chluba et al. 2012 */ + double a[6][3] = {{4., 10., 15./2.}, + {1., 47./2., 1023./8.}, + {0., 42./5., 868./5.}, + {0., 7./10., 329./5.}, + {0., 0., 44./5.}, + {0., 0., 11./30.}}; + + double Y_k[3] = {0., 0., 0.}; + + for (index_k=0; index_k<3; ++index_k){ + Y_k[index_k] = 0.; + for (index_n=0; index_n<2*index_k+2; ++index_n){ + Y_k[index_k]+=a[index_n][index_k]*Delta_x[index_n]; + } + } + + /** Non-relativistic TSZ */ + DI_tSZ_non_rel = Dtau*theta_e*G_T*Y_k[0]; + + /** Relativistic TSZ */ + DI_tSZ_rel = 0.; + for (index_k=1; index_k<3; ++index_k){ + DI_tSZ_rel += Dtau*pow(theta_e,index_k+1)*G_T*Y_k[index_k]; + } + + DI_tSZ = DI_tSZ_non_rel+DI_tSZ_rel; + + /** Kinematic SZ effect (kSZ) */ + /* Calculated according to Nozawa et al. 2005 */ + switch(psd->sd_reio_type){ + case sd_reio_Nozawa: + Y_0 = Y_k[0]; + Y_1 = Y_k[1]; + Y_2 = Y_k[2]; + + B_0 = 1.*Y_0/3.; + B_1 = 5.*Y_0/6. + +2.*Y_1/3.; + B_2 = 5.*Y_0/8. + +3.*Y_1/2. + +Y_2; + B_3 = -5.*Y_0/8. + +5.*Y_1/4. + +5.*Y_2/2.; + + C_0 = 1.; + C_1 = 10. + -47.*x_tilde/5. + +7.*pow(x_tilde,2.)/5. + +7.*pow(S_tilde,2.)/10.; + C_2 = 25. + -1117.*x_tilde/10. + +847.*pow(x_tilde,2.)/10. + -183.*pow(x_tilde,3.)/10. + +11.*pow(x_tilde,4.)/10. + +pow(S_tilde,2.)*(847./20. + -183.*x_tilde/5. + +121.*pow(x_tilde,2.)/20.) + +11.*pow(S_tilde,4.)/10.; + C_3 = 75./4. + -21873.*x_tilde/40. + +49161.*pow(x_tilde,2.)/40. + -27519.*pow(x_tilde,3.)/35. + +6684.*pow(x_tilde,4.)/35. + -3917.*pow(x_tilde,5.)/210. + +64.*pow(x_tilde,6.)/105. + +pow(S_tilde,2.)*(49161./80. + -55038.*x_tilde/35. + +36762.*pow(x_tilde,2.)/35. + -50921.*pow(x_tilde,3.)/210. + +608.*pow(x_tilde,4.)/35.) + +pow(S_tilde,4.)*(6684./35. + -66589.*x_tilde/420. + +192.*pow(x_tilde,2.)/7.) + +272.*pow(S_tilde,6.)/105.; + + D_0 = -2./3. + +11.*x_tilde/30.; + D_1 = -4. + +12.*x_tilde + -6.*pow(x_tilde,2.) + +19.*pow(x_tilde,3.)/30. + +pow(S_tilde,2.)*(-3. + +19.*x_tilde/15.); + D_2 = -10. + +542.*x_tilde/5. + -843.*pow(x_tilde,2.)/5. + +10603.*pow(x_tilde,3.)/140. + -409.*pow(x_tilde,4.)/35. + +23.*pow(x_tilde,5.)/42. + +pow(S_tilde,2.)*(-843./10. + +10603.*x_tilde/70. + -4499.*pow(x_tilde,2.)/70. + +299.*pow(x_tilde,3.)/42.) + +pow(S_tilde,4.)*(-409./35. + +391.*x_tilde/84.); + D_3 = -15./2. + +4929.*x_tilde/40. + -39777.*pow(x_tilde,2.)/20. + +1199897.*pow(x_tilde,3.)/560. + -4392.*pow(x_tilde,4.)/5. + +16364.*pow(x_tilde,5.)/105. + -3764.*pow(x_tilde,6.)/315. + +101.*pow(x_tilde,7.)/315. + +pow(S_tilde,2.)*(-39777./40. + +1199897.*x_tilde/280. + -24156.*pow(x_tilde,2.)/5. + +212732.*pow(x_tilde,3.)/105. + -35758.*pow(x_tilde,4.)/105. + +404.*pow(x_tilde,5.)/21.) + +pow(S_tilde,4.)*(-4392./5. + +139094.*x_tilde/105. + -3764.*pow(x_tilde,2.)/7. + +6464.*pow(x_tilde,3.)/105.) + +pow(S_tilde,6.)*(-15997./315. + +6262.*x_tilde/315.); + + M_low = G_T*(B_0+theta_e*B_1+pow(theta_e,2.)*B_2+pow(theta_e,3.)*B_3); + D_low = G_T*(C_0+theta_e*C_1+pow(theta_e,2.)*C_2+pow(theta_e,3.)*C_3); + Q_low = G_T*(D_0+theta_e*D_1+pow(theta_e,2.)*D_2+pow(theta_e,3.)*D_3); + break; + /* Calculated according to Chluba et al. 2012 */ + case sd_reio_Chluba: + /* Low temperature approximation */ + if (T_e < 10.) { + double d[7][3] = {{-2./5., -1./5., 407./140.}, + {-8./5., -24./5., -233./35.}, + {-2./5., -66./5., -10433./140.}, + { 0., -24./5., -3876./35.}, + { 0., -2./5., -1513./35.}, + { 0., 0., -204./35.}, + { 0., 0., -17./70.}}; + + double q[7][4] = {{-3./5., 183./70., -429./40.}, + { 2./5., -5./7., 207./20.}, + { 1./10., 115./28., 1647./80.}, + { 0., 12./7., 44.}, + { 0., 1./7., 19.}, + { 0., 0., 92./35.}, + { 0., 0., 23./210.}}; + + M_low = 1./3.*(Y_SZ+G_T); + for (index_k=0; index_k<3; ++index_k){ + M_k = 0.; + for (index_n=0; index_n<2*index_k+2; ++index_n){ + M_k += (a[index_n][index_k]-d[index_n][index_k]) + *(index_n*(index_n+2)*Delta_x[index_n]+ + (2*index_n+3)*Delta_x[index_n+1]+ + Delta_x[index_n+2] + ); + } + M_k *= 1./3.; + M_low += pow(theta_e,index_k+1)*M_k*G_T; + } + + D_low = G_T; + for (index_k=0; index_k<3; ++index_k){ + D_k = 0.; + for (index_n=0; index_n<2*index_k+2; ++index_n){ + D_k += (d[index_n][index_k]-a[index_n][index_k]) + *(index_n*Delta_x[index_n]+ + Delta_x[index_n+1] + ); + } + D_low += pow(theta_e,index_k+1)*D_k*G_T; + } + + Q_low = 11./30.*(x_tilde*G_T); + for (index_k=0; index_k<3; ++index_k){ + Q_k = 0.; + for (index_n=0; index_n<2*index_k+2; ++index_n){ + Q_k += (a[index_n][index_k]+q[index_n][index_k]-2.*d[index_n][index_k]) + *(index_n*(index_n-1)*Delta_x[index_n]+ + 2*index_n*Delta_x[index_n+1]+ + Delta_x[index_n+2] + ); + } + Q_k *= 1./3.; + Q_low += pow(theta_e,index_k+1)*Q_k*G_T; + } + } + /* High temperature approximation (not implemented yet) */ + else { + M_low = 0.; + D_low = 0.; + Q_low = 0.; + } + break; + default: + class_stop(psd->error_message,"Unrecognized sd_reio_type='%i'.",psd->sd_reio_type); + } + + DI_kSZ = Dtau*beta*(beta*M_low+P_1*D_low+beta*P_2*Q_low); + + /** Total distortion */ + *y_reio = theta_e*Dtau; + *DI_reio = DI_tSZ+DI_kSZ; + + return _SUCCESS_; +} + +/** + * Reads the external file branching_ratios calculated according to Chluba & Jeong 2014 + * + * @param ppr Input: pointer to precision structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_read_br_data(struct precision * ppr, + struct distortions * psd){ + + /** Define local variables */ + int index_k,index_z; + FILE * infile; + DetectorFileName br_file; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + + /** Open file */ + class_sprintf(br_file,"%s/%s_branching_ratios.dat", ppr->sd_external_path, psd->sd_detector_name); + class_open(infile, br_file, "r", psd->error_message); + + /** Read header */ + psd->br_exact_Nz = 0; + while (fgets(line,_LINE_LENGTH_MAX_-1,infile) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + if (left[0] > 39) { + /** Read number of lines, infer size of arrays and allocate them */ + class_test(sscanf(line,"%d %d", &psd->br_exact_Nz, &psd->E_vec_size) != 2, + psd->error_message, + "could not header (number of lines, number of multipoles) at line %i in file '%s' \n",headlines,br_file); + + class_alloc(psd->br_exact_z, psd->br_exact_Nz*sizeof(double), psd->error_message); + class_alloc(psd->f_g_exact, psd->br_exact_Nz*sizeof(double), psd->error_message); + class_alloc(psd->f_y_exact, psd->br_exact_Nz*sizeof(double), psd->error_message); + class_alloc(psd->f_mu_exact, psd->br_exact_Nz*sizeof(double), psd->error_message); + + class_alloc(psd->E_vec, psd->br_exact_Nz*psd->E_vec_size*sizeof(double), psd->error_message); + break; + } + } + + /** Read parameters */ + for (index_z=0; index_zbr_exact_Nz; ++index_z){ + class_test(fscanf(infile, "%le", + &(psd->br_exact_z[index_z]))!=1, // [-] + psd->error_message, + "Could not read z at line %i in file '%s'",index_z+headlines,br_file); + class_test(fscanf(infile, "%le", + &(psd->f_g_exact[index_z]))!=1, // [-] + psd->error_message, + "Could not read f_g at line %i in file '%s'",index_z+headlines,br_file); + class_test(fscanf(infile, "%le", + &(psd->f_y_exact[index_z]))!=1, // [-] + psd->error_message, + "Could not read f_y at line %i in file '%s'",index_z+headlines,br_file); + class_test(fscanf(infile,"%le", + &(psd->f_mu_exact[index_z]))!=1, // [-] + psd->error_message, + "Could not read f_mu at line %i in file '%s'",index_z+headlines,br_file); + for (index_k=0; index_kE_vec_size; ++index_k){ + class_test(fscanf(infile,"%le", + &(psd->E_vec[index_k*psd->br_exact_Nz+index_z]))!=1, // [-] + psd->error_message, + "Could not read E vector at line %i in file '%s'",index_z+headlines,br_file); + } + } + + fclose(infile); + + return _SUCCESS_; +} + +/** + * Spline the quantitites read in distortions_read_br_data + * + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_spline_br_data(struct distortions* psd){ + + /** Allocate second derivatives */ + class_alloc(psd->ddf_g_exact, + psd->br_exact_Nz*sizeof(double), + psd->error_message); + class_alloc(psd->ddf_y_exact, + psd->br_exact_Nz*sizeof(double), + psd->error_message); + class_alloc(psd->ddf_mu_exact, + psd->br_exact_Nz*sizeof(double), + psd->error_message); + class_alloc(psd->ddE_vec, + psd->E_vec_size*psd->br_exact_Nz*sizeof(double), + psd->error_message); + + /** Spline branching ratios */ + class_call(array_spline_table_columns(psd->br_exact_z, + psd->br_exact_Nz, + psd->f_g_exact, + 1, + psd->ddf_g_exact, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->br_exact_z, + psd->br_exact_Nz, + psd->f_y_exact, + 1, + psd->ddf_y_exact, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->br_exact_z, + psd->br_exact_Nz, + psd->f_mu_exact, + 1, + psd->ddf_mu_exact, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->br_exact_z, + psd->br_exact_Nz, + psd->E_vec, + psd->E_vec_size, + psd->ddE_vec, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + + return _SUCCESS_; +} + +/** + * Interpolate the quantitites splined in distortions_spline_br_data + * + * @param psd Input: pointer to the distortions structure + * @param z Input: redshift + * @param f_g Output: branching ratio for temperature shift + * @param f_y Output: branching ratio for y distortions + * @param f_mu Output: branching ratio for mu-distortions + * @param f_E Output: branching ratio for residuals (multipole expansion) + * @param last_index Output: multipole of PCA expansion for f_E + * @return the error status + */ + +int distortions_interpolate_br_data(struct distortions* psd, + double z, + double * f_g, + double * f_y, + double * f_mu, + double * f_E, + int * last_index){ + + /** Define local variables */ + int index = *last_index; + int index_k; + double h,a,b; + + /** Find z position */ + class_call(array_spline_hunt(psd->br_exact_z, + psd->br_exact_Nz, + z, + &index, + &h,&a,&b, + psd->error_message), + psd->error_message, + psd->error_message); + + /** Evaluate corresponding values for the branching ratios */ + *f_g = 4*array_spline_eval(psd->f_g_exact, + psd->ddf_g_exact, + index, + index+1, + h,a,b); + *f_y = 4*array_spline_eval(psd->f_y_exact, + psd->ddf_y_exact, + index, + index+1, + h,a,b); + *f_mu = 1./1.401*array_spline_eval(psd->f_mu_exact, + psd->ddf_mu_exact, + index, + index+1, + h,a,b); + + for (index_k=0; index_ksd_PCA_size; ++index_k){ + f_E[index_k] = array_spline_eval(psd->E_vec+index_k*psd->br_exact_Nz, + psd->ddE_vec+index_k*psd->br_exact_Nz, + index, + index+1, + h,a,b); + } + + *last_index = index; + + return _SUCCESS_; +} + +/** + * Free from distortions_read_br_data and distortions_spline_br_data + * + * @param psd Input: pointer to distortions structure (to be freed) + * @return the error status + */ + +int distortions_free_br_data(struct distortions * psd){ + + free(psd->br_exact_z); + free(psd->f_g_exact); + free(psd->ddf_g_exact); + free(psd->f_y_exact); + free(psd->ddf_y_exact); + free(psd->f_mu_exact); + free(psd->ddf_mu_exact); + free(psd->E_vec); + free(psd->ddE_vec); + + return _SUCCESS_; +} + +/** + * Reads the external file distortions_shapes calculated according to Chluba & Jeong 2014 + * + * @param ppr Input: pointer to precision structure + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_read_sd_data(struct precision * ppr, + struct distortions * psd){ + + /** Define local variables */ + FILE * infile; + DetectorFileName sd_file; + char line[_LINE_LENGTH_MAX_]; + char * left; + int headlines = 0; + int index_x,index_k; + + /** Open file */ + class_sprintf(sd_file,"%s/%s_distortions_shapes.dat",ppr->sd_external_path, psd->sd_detector_name); + class_open(infile, sd_file, "r", psd->error_message); + + /** Read header */ + psd->PCA_Nnu = 0; + while (fgets(line,_LINE_LENGTH_MAX_-1,infile) != NULL) { + headlines++; + + /* Eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; + } + + if (left[0] > 39) { + /** Read number of lines, infer size of arrays and allocate them */ + class_test(sscanf(line, "%d %d", &psd->PCA_Nnu, &psd->S_vec_size) != 2, + psd->error_message, + "could not header (number of lines, number of multipoles) at line %i in file '%s' \n",headlines,sd_file); + + class_alloc(psd->PCA_nu, psd->PCA_Nnu*sizeof(double), psd->error_message); + class_alloc(psd->PCA_G_T, psd->PCA_Nnu*sizeof(double), psd->error_message); + class_alloc(psd->PCA_Y_SZ, psd->PCA_Nnu*sizeof(double), psd->error_message); + class_alloc(psd->PCA_M_mu, psd->PCA_Nnu*sizeof(double), psd->error_message); + + class_alloc(psd->S_vec, psd->PCA_Nnu*psd->S_vec_size*sizeof(double), psd->error_message); + break; + } + } + + /** Read parameters */ + for (index_x=0; index_xPCA_Nnu; ++index_x){ + class_test(fscanf(infile,"%le", + &(psd->PCA_nu[index_x]))!=1, // [GHz] + psd->error_message, + "Could not read z at line %i in file '%s'",index_x+headlines,sd_file); + class_test(fscanf(infile,"%le", + &(psd->PCA_G_T[index_x]))!=1, // [10^-18 W/(m^2 Hz sr)] + psd->error_message, + "Could not read f_g at line %i in file '%s'",index_x+headlines,sd_file); + psd->PCA_G_T[index_x] /= (psd->DI_units*1.e18); // [-] + class_test(fscanf(infile,"%le", + &(psd->PCA_Y_SZ[index_x]))!=1, // [10^-18 W/(m^2 Hz sr)] + psd->error_message, + "Could not read f_y at line %i in file '%s'",index_x+headlines,sd_file); + psd->PCA_Y_SZ[index_x] /= (psd->DI_units*1.e18); // [-] + class_test(fscanf(infile,"%le", + &(psd->PCA_M_mu[index_x]))!=1, // [10^-18 W/(m^2 Hz sr)] + psd->error_message, + "Could not read f_mu at line %i in file '%s'",index_x+headlines,sd_file); + psd->PCA_M_mu[index_x] /= (psd->DI_units*1.e18); // [-] + for (index_k=0; index_kS_vec_size; ++index_k){ + class_test(fscanf(infile,"%le", + &(psd->S_vec[index_k*psd->PCA_Nnu+index_x]))!=1, // [10^-18 W/(m^2 Hz sr)] + psd->error_message, + "Could not read E vector at line %i in file '%s'",index_x+headlines,sd_file); + psd->S_vec[index_k*psd->PCA_Nnu+index_x] /= (psd->DI_units*1.e18); // [-] + } + + } + + fclose(infile); + + return _SUCCESS_; +} + +/** + * Spline the quantitites read in distortions_read_sd_data + * + * @param psd Input: pointer to the distortions structure + * @return the error status + */ + +int distortions_spline_sd_data(struct distortions* psd){ + + /** Allocate second derivatievs */ + class_alloc(psd->ddPCA_G_T, + psd->PCA_Nnu*sizeof(double), + psd->error_message); + class_alloc(psd->ddPCA_Y_SZ, + psd->PCA_Nnu*sizeof(double), + psd->error_message); + class_alloc(psd->ddPCA_M_mu, + psd->PCA_Nnu*sizeof(double), + psd->error_message); + class_alloc(psd->ddS_vec, + psd->S_vec_size*psd->PCA_Nnu*sizeof(double), + psd->error_message); + + /** Spline branching ratios */ + class_call(array_spline_table_columns(psd->PCA_nu, + psd->PCA_Nnu, + psd->PCA_G_T, + 1, + psd->ddPCA_G_T, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->PCA_nu, + psd->PCA_Nnu, + psd->PCA_Y_SZ, + 1, + psd->ddPCA_Y_SZ, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->PCA_nu, + psd->PCA_Nnu, + psd->PCA_M_mu, + 1, + psd->ddPCA_M_mu, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + class_call(array_spline_table_columns(psd->PCA_nu, + psd->PCA_Nnu, + psd->S_vec, + psd->S_vec_size, + psd->ddS_vec, + _SPLINE_EST_DERIV_, + psd->error_message), + psd->error_message, + psd->error_message); + + return _SUCCESS_; +} + +/** + * Interpolate the quantitites splined in distortions_spline_sd_data + * + * @param psd Input: pointer to the distortions structure + * @param nu Input: dimnetionless frequency + * @param G_T Output: shape of temperature shift + * @param Y_SZ Output: shape of y distortions + * @param M_mu Output: shape of mu-distortions + * @param S Output: shape of residuals (multipole expansion) + * @param index Output: multipole of PCA expansion for S + * @return the error status + */ + +int distortions_interpolate_sd_data(struct distortions* psd, + double nu, + double * G_T, + double * Y_SZ, + double * M_mu, + double * S, + int * index){ + + /** Define local variables */ + int last_index = *index; + int index_k; + double h,a,b; + double nu_round; + + /** Find z position */ + nu_round = round(nu*pow(10.,3))/pow(10.,3); // The rounding is necessary for the interpolation with the external file + class_call(array_spline_hunt(psd->PCA_nu, + psd->PCA_Nnu, + nu_round, + &last_index, + &h,&a,&b, + psd->error_message), + psd->error_message, + psd->error_message); + + /** Evaluate corresponding values for the branching ratios */ + *G_T = array_spline_eval(psd->PCA_G_T, + psd->ddPCA_G_T, + last_index, + last_index+1, + h,a,b); + *Y_SZ = array_spline_eval(psd->PCA_Y_SZ, + psd->ddPCA_Y_SZ, + last_index, + last_index+1, + h,a,b); + *M_mu = array_spline_eval(psd->PCA_M_mu, + psd->ddPCA_M_mu, + last_index, + last_index+1, + h,a,b); + + for (index_k=0; index_ksd_PCA_size; ++index_k){ + S[index_k] = array_spline_eval(psd->S_vec+index_k*psd->PCA_Nnu, + psd->ddS_vec+index_k*psd->PCA_Nnu, + last_index, + last_index+1, + h,a,b); + } + + *index = last_index; + + return _SUCCESS_; +} + +/** + * Free from distortions_read_sd_data and distortions_spline_sd_data + * + * @param psd Input: pointer to distortions structure (in which some fields should be freed) + * @return the error status + */ + +int distortions_free_sd_data(struct distortions * psd){ + + free(psd->PCA_nu); + free(psd->PCA_G_T); + free(psd->ddPCA_G_T); + free(psd->PCA_Y_SZ); + free(psd->ddPCA_Y_SZ); + free(psd->PCA_M_mu); + free(psd->ddPCA_M_mu); + free(psd->S_vec); + free(psd->ddS_vec); + + return _SUCCESS_; +} + +/** + * Define title of columns in the heat output + * + * @param psd Input: pointer to distortions structure + * @param titles Output: title of each column in the output + */ + +int distortions_output_heat_titles(struct distortions * psd, + char titles[_MAXTITLESTRINGLENGTH_]){ + + class_store_columntitle(titles,"Redshift z",_TRUE_); + class_store_columntitle(titles,"Heat [-]",_TRUE_); + class_store_columntitle(titles,"LHeat [-]",_TRUE_); + + return _SUCCESS_; +} + +/** + * Store data in the heat output + * + * @param psd Input/Output: pointer to distortions structure + * @param number_of_titles Input: numbert of column in the output + * @param data Input: data to be stored + */ + +int distortions_output_heat_data(struct distortions * psd, + int number_of_titles, + double * data){ + int storeidx; + double * dataptr; + int index_z; + + for (index_z=0; index_zz_size; index_z++) { + dataptr = data + index_z*number_of_titles; + storeidx = 0; + class_store_double(dataptr, psd->z[index_z], _TRUE_, storeidx); + class_store_double(dataptr, psd->dQrho_dz_tot[index_z], _TRUE_, storeidx); + class_store_double(dataptr, psd->dQrho_dz_tot[index_z]*(1.+psd->z[index_z]), _TRUE_, storeidx); + } + + return _SUCCESS_; +} + +/** + * Define title of columns in the spectral distortion output + * + * @param psd Input: pointer to distortions structure + * @param titles Output: title of each column in the output + */ + +int distortions_output_sd_titles(struct distortions * psd, + char titles[_MAXTITLESTRINGLENGTH_]){ + + char temp_title[256]; + int index_type; + class_store_columntitle(titles,"Dimensionless frequency x",_TRUE_); + class_store_columntitle(titles,"Frequency nu [GHz]",_TRUE_); + class_store_columntitle(titles,"SD_tot",_TRUE_); + for (index_type=0;index_typetype_size;++index_type){ + if (index_type==psd->index_type_g) { + class_sprintf(temp_title,"SD[g]"); + } + if (index_type==psd->index_type_y) { + class_sprintf(temp_title,"SD[y]"); + } + if (index_type==psd->index_type_mu) { + class_sprintf(temp_title,"SD[mu]"); + } + if (index_type>=psd->index_type_PCA) { + class_sprintf(temp_title,"SD[e_%i]",(index_type-psd->index_type_PCA)); + } + class_store_columntitle(titles,temp_title,_TRUE_); + } + + return _SUCCESS_; +} + +/** + * Store data in the distortion output + * + * @param psd Input/Output: pointer to distortions structure + * @param number_of_titles Input: numbert of column in the output + * @param data Input: data to be stored + */ + +int distortions_output_sd_data(struct distortions * psd, + int number_of_titles, + double * data){ + int index_type; + int storeidx; + double * dataptr; + int index_x; + + for (index_x=0; index_xx_size; index_x++) { + dataptr = data + index_x*number_of_titles; + storeidx = 0; + + class_store_double(dataptr, psd->x[index_x], _TRUE_,storeidx); + class_store_double(dataptr, psd->x[index_x]*psd->x_to_nu, _TRUE_,storeidx); + class_store_double(dataptr, psd->DI[index_x]*1.e26*psd->DI_units, _TRUE_,storeidx); + for (index_type=0;index_typetype_size;++index_type){ + class_store_double(dataptr, psd->sd_table[index_type][index_x]*1.e26*psd->DI_units, _TRUE_,storeidx); + } + } + + return _SUCCESS_; +} diff --git a/source/fourier.c b/source/fourier.c new file mode 100644 index 00000000..511a16ff --- /dev/null +++ b/source/fourier.c @@ -0,0 +1,4495 @@ +/** @file fourier.c Documented fourier module + * + * Julien Lesgourgues, 6.03.2014 + * + * New module replacing an older one present up to version 2.0 The new + * module is located in a better place in the main, allowing it to + * compute non-linear correction to \f$ C_l\f$'s and not just \f$ P(k)\f$. It will + * also be easier to generalize to new methods. The old implementation + * of one-loop calculations and TRG calculations has been dropped from + * this version, they can still be found in older versions. + * + */ + +#include "fourier.h" +#include "hi_class.h" + +/** + * Return the P(k,z) for a given redshift z and pk type (_m, _cb) + * (linear if pk_output = pk_linear, nonlinear if pk_output = pk_nonlinear) + * + * In the linear case, if there are several initial conditions *and* the + * input pointer out_pk_ic is not set to NULL, the function also + * returns the decomposition into different IC contributions. + * + * Hints on input index_pk: + * + * a. if you want the total matter spectrum P_m(k,z), pass in input + * pfo->index_pk_total + * (this index is always defined) + * + * b. if you want the power spectrum relevant for galaxy or halos, + * given by P_cb if there is non-cold-dark-matter (e.g. massive neutrinos) + * and to P_m otherwise, pass in input + * pfo->index_pk_cluster + * (this index is always defined) + * + * c. there is another possible syntax (use it only if you know what you are doing): + * if pfo->has_pk_m == _TRUE_ you may pass pfo->index_pk_m to get P_m + * if pfo->has_pk_cb == _TRUE_ you may pass pfo->index_pk_cb to get P_cb + * + * Output format: + * + * 1. if mode = logarithmic (most straightforward for the code): + * out_pk = ln(P(k)) + * out_pk_ic[diagonal] = ln(P_ic(k)) + * out_pk_ic[non-diagonal] = cos(correlation angle icxic) + * + * 2. if mode = linear (a conversion is done internally in this function) + * out_pk = P(k) + * out_pk_ic[diagonal] = P_ic(k) + * out_pk_ic[non-diagonal] = P_icxic(k) + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param mode Input: linear or logarithmic + * @param pk_output Input: linear or nonlinear + * @param z Input: redshift + * @param index_pk Input: index of pk type (_m, _cb) + * @param out_pk Output: P(k) returned as out_pk_l[index_k] + * @param out_pk_ic Output: P_ic(k) returned as out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + * @return the error status + */ + +int fourier_pk_at_z( + struct background * pba, + struct fourier *pfo, + enum linear_or_logarithmic mode, + enum pk_outputs pk_output, + double z, + int index_pk, + double * out_pk, // array out_pk[index_k] + double * out_pk_ic // array out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + ) { + double tau; + double ln_tau; + int index_k; + int index_ic1; + int index_ic2; + int index_ic1_ic1; + int index_ic2_ic2; + int index_ic1_ic2; + int last_index; + short do_ic = _FALSE_; + + /** - check whether we need the decomposition into contributions from each initial condition */ + + if ((pk_output == pk_linear) && (pfo->ic_size > 1) && (out_pk_ic != NULL)) + do_ic = _TRUE_; + + class_test(pk_output == pk_nonlinear && pfo->method == nl_none, pfo->error_message, "Cannot get nonlinear power spectrum when no nonlinear method is employed"); + + /** - case z=0 requiring no interpolation in z */ + if (z == 0) { + + for (index_k=0; index_kk_size; index_k++) { + + if (pk_output == pk_linear) { + out_pk[index_k] = pfo->ln_pk_l[index_pk][(pfo->ln_tau_size-1)*pfo->k_size+index_k]; + + if (do_ic == _TRUE_) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] = + pfo->ln_pk_ic_l[index_pk][((pfo->ln_tau_size-1)*pfo->k_size+index_k)*pfo->ic_ic_size+index_ic1_ic2]; + } + } + } + else { + out_pk[index_k] = pfo->ln_pk_nl[index_pk][(pfo->ln_tau_size-1)*pfo->k_size+index_k]; + } + } + } + + /** - interpolation in z */ + else { + + class_test(pfo->ln_tau_size == 1, + pfo->error_message, + "You are asking for the matter power spectrum at z=%e but the code was asked to store it only at z=0. You probably forgot to pass the input parameter z_max_pk (see explanatory.ini)",z); + + /** --> get value of contormal time tau */ + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + ln_tau = log(tau); + last_index = pfo->ln_tau_size-1; + + /** -> check that tau is in pre-computed table */ + + if (ln_tau <= pfo->ln_tau[0]) { + + /** --> if ln(tau) much too small, raise an error */ + class_test(ln_tauln_tau[0]-100.*_EPSILON_, + pfo->error_message, + "requested z was not inside of tau tabulation range (Requested ln(tau_=%.10e, Min %.10e). Solution might be to increase input parameter z_max_pk (see explanatory.ini)",ln_tau,pfo->ln_tau[0]); + + /** --> if ln(tau) too small but within tolerance, round it and get right values without interpolating */ + ln_tau = pfo->ln_tau[0]; + + for (index_k = 0 ; index_k < pfo->k_size; index_k++) { + if (pk_output == pk_linear) { + out_pk[index_k] = pfo->ln_pk_l[index_pk][index_k]; + if (do_ic == _TRUE_) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] = pfo->ln_pk_ic_l[index_pk][index_k * pfo->ic_ic_size + index_ic1_ic2]; + } + } + } + else { + out_pk[index_k] = pfo->ln_pk_nl[index_pk][index_k]; + } + } + } + + else if (ln_tau >= pfo->ln_tau[pfo->ln_tau_size-1]) { + + /** --> if ln(tau) much too large, raise an error */ + class_test(ln_tau>pfo->ln_tau[pfo->ln_tau_size-1]+_EPSILON_, + pfo->error_message, + "requested z was not inside of tau tabulation range (Requested ln(tau_=%.10e, Max %.10e) ",ln_tau,pfo->ln_tau[pfo->ln_tau_size-1]); + + /** --> if ln(tau) too large but within tolerance, round it and get right values without interpolating */ + ln_tau = pfo->ln_tau[pfo->ln_tau_size-1]; + + for (index_k = 0 ; index_k < pfo->k_size; index_k++) { + if (pk_output == pk_linear) { + out_pk[index_k] = pfo->ln_pk_l[index_pk][(pfo->ln_tau_size-1) * pfo->k_size + index_k]; + if (do_ic == _TRUE_) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] = pfo->ln_pk_ic_l[index_pk][((pfo->ln_tau_size-1) * pfo->k_size + index_k) * pfo->ic_ic_size + index_ic1_ic2]; + } + } + } + else { + out_pk[index_k] = pfo->ln_pk_nl[index_pk][(pfo->ln_tau_size-1) * pfo->k_size + index_k]; + } + } + } + + /** -> tau is in pre-computed table: interpolate */ + else { + + if (pk_output == pk_linear) { + + /** --> interpolate P_l(k) at tau from pre-computed array */ + class_call(array_interpolate_spline(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_l[index_pk], + pfo->ddln_pk_l[index_pk], + pfo->k_size, + ln_tau, + &last_index, + out_pk, + pfo->k_size, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /** --> interpolate P_ic_l(k) at tau from pre-computed array */ + if (do_ic == _TRUE_) { + class_call(array_interpolate_spline(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_ic_l[index_pk], + pfo->ddln_pk_ic_l[index_pk], + pfo->k_size*pfo->ic_ic_size, + ln_tau, + &last_index, + out_pk_ic, + pfo->k_size*pfo->ic_ic_size, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + else { + + /** --> interpolate P_nl(k) at tau from pre-computed array */ + class_call(array_interpolate_spline(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_nl[index_pk], + pfo->ddln_pk_nl[index_pk], + pfo->k_size, + ln_tau, + &last_index, + out_pk, + pfo->k_size, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + } + + /** - so far, all output stored in logarithmic format. Eventually, convert to linear one. */ + + if (mode == linear) { + + /** --> loop over k */ + for (index_k=0; index_kk_size; index_k++) { + + /** --> convert total spectrum */ + out_pk[index_k] = exp(out_pk[index_k]); + + if (do_ic == _TRUE_) { + /** --> convert contribution of each ic (diagonal elements) */ + for (index_ic1=0; index_ic1 < pfo->ic_size; index_ic1++) { + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + + out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic1] = exp(out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic1]); + } + + /** --> convert contribution of each ic (non-diagonal elements) */ + for (index_ic1=0; index_ic1 < pfo->ic_size; index_ic1++) { + for (index_ic2=index_ic1+1; index_ic2 < pfo->ic_size; index_ic2++) { + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + index_ic2_ic2 = index_symmetric_matrix(index_ic2,index_ic2,pfo->ic_size); + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,pfo->ic_size); + + /* P_ic1xic2 = cos(angle) * sqrt(P_ic1 * P_ic2) */ + out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + = out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + *sqrt(out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic1] + *out_pk_ic[index_k * pfo->ic_ic_size + index_ic2_ic2]); + } + } + } + } + } + + return _SUCCESS_; +} + +/* + * Same as fourier_pk_at_z() (see the comments there about + * the input/output format), excepted that we don't pass in input one + * type of P(k) through index_pk. Instead, we get all existing types + * in output. This function is maintained to enhance compatibility + * with old versions, but the use of fourier_pk_at_z() should + * be preferred. + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param mode Input: linear or logarithmic + * @param z Input: redshift + * @param out_pk_l Output: P_m(k) returned as out_pk_l[index_k] + * @param out_pk_ic_l Output: P_m_ic(k) returned as out_pk_ic_l[index_k * pfo->ic_ic_size + index_ic1_ic2] + * @param out_pk_cb_l Output: P_cb(k) returned as out_pk_cb_l[index_k] + * @param out_pk_cb_ic_l Output: P_cb_ic(k) returned as out_pk_cb_ic_l[index_k * pfo->ic_ic_size + index_ic1_ic2] + * @return the error status + */ + +int fourier_pks_at_z( + struct background * pba, + struct fourier * pfo, + enum linear_or_logarithmic mode, + enum pk_outputs pk_output, + double z, + double * out_pk, // array out_pk[index_k] + double * out_pk_ic, // array out_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + double * out_pk_cb, // array out_pk_cb[index_k] + double * out_pk_cb_ic // array out_pk_cb_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] + ) { + + if (pfo->has_pk_cb == _TRUE_) { + + class_call(fourier_pk_at_z(pba, + pfo, + mode, + pk_output, + z, + pfo->index_pk_cb, + out_pk_cb, + out_pk_cb_ic + ), + pfo->error_message, + pfo->error_message); + } + + if (pfo->has_pk_m == _TRUE_) { + + class_call(fourier_pk_at_z(pba, + pfo, + mode, + pk_output, + z, + pfo->index_pk_m, + out_pk, + out_pk_ic + ), + pfo->error_message, + pfo->error_message); + } + + return _SUCCESS_; +} + +/** + * Return the P(k,z) for a given (k,z) and pk type (_m, _cb) + * (linear if pk_output = pk_linear, nonlinear if pk_output = pk_nonlinear) + * + * In the linear case, if there are several initial conditions *and* the + * input pointer out_pk_ic is not set to NULL, the function also + * returns the decomposition into different IC contributions. + * + * Hints on input index_pk: + * + * a. if you want the total matter spectrum P_m(k,z), pass in input + * pfo->index_pk_total + * (this index is always defined) + * + * b. if you want the power spectrum relevant for galaxy or halos, + * given by P_cb if there is non-cold-dark-matter (e.g. massive neutrinos) + * and to P_m otherwise, pass in input + * pfo->index_pk_cluster + * (this index is always defined) + * + * c. there is another possible syntax (use it only if you know what you are doing): + * if pfo->has_pk_m == _TRUE_ you may pass pfo->index_pk_m to get P_m + * if pfo->has_pk_cb == _TRUE_ you may pass pfo->index_pk_cb to get P_cb + * + * Output format: + * + * out_pk = P(k) + * out_pk_ic[diagonal] = P_ic(k) + * out_pk_ic[non-diagonal] = P_icxic(k) + * + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param pk_output Input: linear or nonlinear + * @param k Input: wavenumber in 1/Mpc + * @param z Input: redshift + * @param index_pk Input: index of pk type (_m, _cb) + * @param out_pk Output: pointer to P + * @param out_pk_ic Ouput: P_ic returned as out_pk_ic_l[index_ic1_ic2] + * @return the error status + */ + +int fourier_pk_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct fourier *pfo, + enum pk_outputs pk_output, + double k, + double z, + int index_pk, + double * out_pk, // number *out_pk_l + double * out_pk_ic // array out_pk_ic_l[index_ic_ic] + ) { + + double * out_pk_at_z; + double * out_pk_ic_at_z = NULL; + double * ddout_pk_at_z; + double * ddout_pk_ic_at_z; + int last_index; + int index_ic1; + int index_ic2; + int index_ic1_ic1; + int index_ic2_ic2; + int index_ic1_ic2; + double kmin; + double * pk_primordial_k; + double * pk_primordial_kmin; + short do_ic = _FALSE_; + + /** - preliminary: check whether we need the decomposition into contributions from each initial condition */ + + if ((pk_output == pk_linear) && (pfo->ic_size > 1) && (out_pk_ic != NULL)) + do_ic = _TRUE_; + + /** - first step: check that k is in valid range [0:kmax] + (the test for z will be done when calling fourier_pk_linear_at_z()) */ + + class_test((k < 0.) || (k > exp(pfo->ln_k[pfo->k_size-1])), + pfo->error_message, + "k=%e out of bounds [%e:%e]",k,0.,exp(pfo->ln_k[pfo->k_size-1])); + + /** - deal with case k = 0 for which P(k) is set to zero + (this non-physical result can be useful for interpolations) */ + + if (k == 0.) { + *out_pk = 0.; + + if (do_ic == _TRUE_) { + for (index_ic1_ic2=0; index_ic1_ic2ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_ic1_ic2] = 0.; + } + } + } + + /** - deal with 0 < k <= kmax */ + + else { + + class_alloc(out_pk_at_z, + pfo->k_size*sizeof(double), + pfo->error_message); + + if (do_ic == _TRUE_) { + class_alloc(out_pk_ic_at_z, + pfo->k_size*pfo->ic_ic_size*sizeof(double), + pfo->error_message); + } + + /** - deal with standard case kmin <= k <= kmax */ + + if (k > exp(pfo->ln_k[0])) { + + /** --> First, get P(k) at the right z (in logarithmic format for more accurate interpolation, and then convert to linear format) */ + + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_output, + z, + index_pk, + out_pk_at_z, + out_pk_ic_at_z + ), + pfo->error_message, + pfo->error_message); + + /** --> interpolate total spectrum */ + + class_alloc(ddout_pk_at_z, + pfo->k_size*sizeof(double), + pfo->error_message); + + class_call(array_spline_table_lines(pfo->ln_k, + pfo->k_size, + out_pk_at_z, + 1, + ddout_pk_at_z, + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + class_call(array_interpolate_spline(pfo->ln_k, + pfo->k_size, + out_pk_at_z, + ddout_pk_at_z, + 1, + log(k), + &last_index, + out_pk, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + free(ddout_pk_at_z); + + // uncomment this part if you prefer a linear interpolation + + /* + class_call(array_interpolate_linear(pfo->ln_k, + pfo->k_size, + out_pk_at_z, + 1, + log(k), + &last_index, + out_pk, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + */ + + /** --> convert from logarithmic to linear format */ + + *out_pk = exp(*out_pk); + + /** --> interpolate each ic component */ + + if (do_ic == _TRUE_) { + + class_alloc(ddout_pk_ic_at_z, + pfo->k_size*pfo->ic_ic_size*sizeof(double), + pfo->error_message); + + class_call(array_spline_table_lines(pfo->ln_k, + pfo->k_size, + out_pk_ic_at_z, + pfo->ic_ic_size, + ddout_pk_ic_at_z, + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + class_call(array_interpolate_spline(pfo->ln_k, + pfo->k_size, + out_pk_ic_at_z, + ddout_pk_ic_at_z, + pfo->ic_ic_size, + log(k), + &last_index, + out_pk_ic, + pfo->ic_ic_size, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + free(ddout_pk_ic_at_z); + + /** --> convert each ic component from logarithmic to linear format */ + + for (index_ic1=0; index_ic1 < pfo->ic_size; index_ic1++) { + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + out_pk_ic[index_ic1_ic1] = exp(out_pk_ic[index_ic1_ic1]); + } + for (index_ic1=0; index_ic1 < pfo->ic_size; index_ic1++) { + for (index_ic2=index_ic1+1; index_ic2 < pfo->ic_size; index_ic2++) { + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + index_ic2_ic2 = index_symmetric_matrix(index_ic2,index_ic2,pfo->ic_size); + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,pfo->ic_size); + out_pk_ic[index_ic1_ic2] + = out_pk_ic[index_ic1_ic2]*sqrt(out_pk_ic[index_ic1_ic1]*out_pk_ic[index_ic2_ic2]); + } + } + } + } + + /** --> deal with case 0 < k < kmin that requires extrapolation + * P(k) = [some number] * k * P_primordial(k) + * so + * P(k) = P(kmin) * (k P_primordial(k)) / (kmin P_primordial(kmin)) + * (note that the result is accurate only if kmin is such that [a0 kmin] << H0) + * + * This is accurate for the synchronous gauge; TODO: write + * newtonian gauge case. Also, In presence of isocurvature + * modes, we assumes for simplicity that the mode with + * index_ic1_ic2=0 dominates at small k: exact treatment should be + * written if needed. + */ + + else { + + /** --> First, get P(k) at the right z (in linear format) */ + + class_call(fourier_pk_at_z(pba, + pfo, + linear, + pk_output, + z, + index_pk, + out_pk_at_z, + out_pk_ic_at_z + ), + pfo->error_message, + pfo->error_message); + + /* get P(kmin) */ + *out_pk = out_pk_at_z[0]; + + if (do_ic == _TRUE_) { + for (index_ic1_ic2=0; index_ic1_ic2ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_ic1_ic2] = out_pk_ic_at_z[index_ic1_ic2]; + } + } + + /* compute P_primordial(k) */ + + class_alloc(pk_primordial_k, + sizeof(double)*pfo->ic_ic_size, + pfo->error_message); + + class_call(primordial_spectrum_at_k(ppm, + pfo->index_md_scalars, + linear, + k, + pk_primordial_k), + ppm->error_message, + pfo->error_message); + + /* compute P_primordial(kmin) */ + + kmin = exp(pfo->ln_k[0]); + + class_alloc(pk_primordial_kmin, + sizeof(double)*pfo->ic_ic_size, + pfo->error_message); + + class_call(primordial_spectrum_at_k(ppm, + pfo->index_md_scalars, + linear, + kmin, + pk_primordial_kmin), + ppm->error_message, + pfo->error_message); + + /* finally, infer P(k) */ + + *out_pk *= (k*pk_primordial_k[0]/kmin/pk_primordial_kmin[0]); + + if (do_ic == _TRUE_) { + for (index_ic1_ic2=0; index_ic1_ic2ic_ic_size; index_ic1_ic2++) { + out_pk_ic[index_ic1_ic2] *= (k*pk_primordial_k[index_ic1_ic2] + /kmin/pk_primordial_kmin[index_ic1_ic2]); + } + } + + free(pk_primordial_k); + free(pk_primordial_kmin); + } + + free(out_pk_at_z); + if (do_ic == _TRUE_) { + free(out_pk_ic_at_z); + } + } + + return _SUCCESS_; +} + +/* + * Same as fourier_pk_at_k_and_z() (see the comments there about + * the input/output format), excepted that we don't pass in input one + * type of P(k) through index_pk. Instead, we get all existing types + * in output. This function is maintained to enhance compatibility + * with old versions, but the use of fourier_pk_at_k_and_z() should + * be preferred. + * + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param k Input: wavenumber + * @param z Input: redshift + * @param out_pk_l Output: P_m(k) returned as out_pk_l[index_k] + * @param out_pk_ic_l Output: P_m_ic(k) returned as out_pk_ic_l[index_k * pfo->ic_ic_size + index_ic1_ic2] + * @param out_pk_cb_l Output: P_cb(k) returned as out_pk_cb_l[index_k] + * @param out_pk_cb_ic_l Output: P_cb_ic(k) returned as out_pk_cb_ic_l[index_k * pfo->ic_ic_size + index_ic1_ic2] + * @return the error status + */ + +int fourier_pks_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct fourier *pfo, + enum pk_outputs pk_output, + double k, + double z, + double * out_pk, // number P_m(k) + double * out_pk_ic, // array P_m_ic(k) of index [index_ic1_ic2] + double * out_pk_cb, // number P_cb(k) + double * out_pk_cb_ic // array P__cb_ic(k)of index [index_ic1_ic2] + ) { + + if (pfo->has_pk_cb == _TRUE_) { + + class_call(fourier_pk_at_k_and_z(pba, + ppm, + pfo, + pk_output, + k, + z, + pfo->index_pk_cb, + out_pk_cb, + out_pk_cb_ic + ), + pfo->error_message, + pfo->error_message); + } + if (pfo->has_pk_m == _TRUE_) { + + class_call(fourier_pk_at_k_and_z(pba, + ppm, + pfo, + pk_output, + k, + z, + pfo->index_pk_m, + out_pk, + out_pk_ic + ), + pfo->error_message, + pfo->error_message); + } + + return _SUCCESS_; +} + +/** + * Return the P(k,z) for a grid of (k_i,z_j) passed in input, + * for all available pk types (_m, _cb), + * either linear or nonlinear depending on input. + * + * If there are several initial conditions, this function is not + * designed to return individual contributions. + * + * The main goal of this routine is speed. Unlike + * fourier_pk_at_k_and_z(), it performs no extrapolation when an + * input k_i falls outside the pre-computed range [kmin,kmax]: in that + * case, it just returns P(k,z)=0 for such a k_i + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param pk_output Input: pk_linear or pk_nonlinear + * @param kvec Input: array of wavenumbers in ascending order (in 1/Mpc) + * @param kvec_size Input: size of array of wavenumbers + * @param zvec Input: array of redshifts in arbitrary order + * @param zvec_size Input: size of array of redshifts + * @param out_pk Output: P(k_i,z_j) for total matter (if available) in Mpc**3 + * @param out_pk_cb Output: P_cb(k_i,z_j) for cdm+baryons (if available) in Mpc**3 + * @return the error status + */ + +int fourier_pks_at_kvec_and_zvec( + struct background * pba, + struct fourier * pfo, + enum pk_outputs pk_output, + double * kvec, // kvec[index_kvec] + int kvec_size, + double * zvec, // zvec[index_zvec] + int zvec_size, + double * out_pk, // output_pk[index_zvec*kvec_size+index_kvec], + // already allocated + //(or NULL if user knows there is no _m output) + double * out_pk_cb // output_pk[index_zvec*kvec_size+index_kvec], + //already allocated + //(or NULL if user knows there is no _cb output) + ) { + + /** Summary: */ + + /** - define local variables */ + + int index_k, index_kvec, index_zvec; + double * ln_kvec; + double * ln_pk_table = NULL; + double * ddln_pk_table = NULL; + double * ln_pk_cb_table = NULL; + double * ddln_pk_cb_table = NULL; + double h, a, b; + + /** - Allocate arrays */ + + class_alloc(ln_kvec, sizeof(double)*kvec_size, + pfo->error_message); + + if (pfo->has_pk_m == _TRUE_) { + class_alloc(ln_pk_table, sizeof(double)*pfo->k_size*zvec_size, + pfo->error_message); + class_alloc(ddln_pk_table, sizeof(double)*pfo->k_size*zvec_size, + pfo->error_message); + } + if (pfo->has_pk_cb == _TRUE_) { + class_alloc(ln_pk_cb_table, sizeof(double)*pfo->k_size*zvec_size, + pfo->error_message); + class_alloc(ddln_pk_cb_table, sizeof(double)*pfo->k_size*zvec_size, + pfo->error_message); + } + + /** - Construct table of log(P(k_n,z_j)) for pre-computed wavenumbers but requested redshifts: */ + + for (index_zvec=0; index_zvechas_pk_m == _TRUE_) { + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_output, + zvec[index_zvec], + pfo->index_pk_m, + &(ln_pk_table[index_zvec * pfo->k_size]), + NULL), + pfo->error_message, + pfo->error_message); + } + if (pfo->has_pk_cb == _TRUE_) { + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_output, + zvec[index_zvec], + pfo->index_pk_cb, + &(ln_pk_cb_table[index_zvec * pfo->k_size]), + NULL), + pfo->error_message, + pfo->error_message); + } + } + + /** - Spline it for interpolation along k */ + + if (pfo->has_pk_m == _TRUE_) { + + class_call(array_spline_table_columns2(pfo->ln_k, + pfo->k_size, + ln_pk_table, + zvec_size, + ddln_pk_table, + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + if (pfo->has_pk_cb == _TRUE_) { + + class_call(array_spline_table_columns2(pfo->ln_k, + pfo->k_size, + ln_pk_cb_table, + zvec_size, + ddln_pk_cb_table, + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + /** - Construct ln(kvec): */ + + for (index_kvec=0; index_kvec= pfo->ln_k[0]) + break; + + /* deal with khas_pk_m == _TRUE_) out_pk[index_zvec*kvec_size+index_kvec] = 0.; + if (pfo->has_pk_cb == _TRUE_) out_pk_cb[index_zvec*kvec_size+index_kvec] = 0.; + /* (If needed, one could add instead some extrapolation here) */ + } + } + + /** - Deal with case kmin<=k<=kmax. For better performance, do not + loop through kvec, but through pre-computed k values. */ + + for (index_k=0; index_k < (pfo->k_size-1); index_k++){ + + /** --> Loop through k_i's that fall in interval [k_n,k_n+1] */ + + while ((index_kvec < kvec_size) && (ln_kvec[index_kvec] <= pfo->ln_k[index_k+1])){ + + /** --> for each of them, perform spine interpolation */ + + h = pfo->ln_k[index_k+1]-pfo->ln_k[index_k]; + b = (ln_kvec[index_kvec] - pfo->ln_k[index_k])/h; + a = 1.-b; + + for (index_zvec = 0; index_zvec < zvec_size; index_zvec++) { + + if (pfo->has_pk_m == _TRUE_) { + + out_pk[index_zvec*kvec_size+index_kvec] = + exp( + array_spline_eval(ln_pk_table, + ddln_pk_table, + (index_zvec * pfo->k_size + index_k), + (index_zvec * pfo->k_size + index_k+1), + h,a,b) + ); + } + if (pfo->has_pk_cb == _TRUE_) { + + out_pk_cb[index_zvec*kvec_size+index_kvec] = + exp( + array_spline_eval(ln_pk_cb_table, + ddln_pk_cb_table, + (index_zvec * pfo->k_size + index_k), + (index_zvec * pfo->k_size + index_k+1), + h,a,b) + ); + } + } + index_kvec++; + } + } + + /** - Loop over possible remaining k values with k > kmax, to fill output with zeros. */ + + while (index_kvec < kvec_size) { + + for (index_zvec = 0; index_zvec < zvec_size; index_zvec++) { + if (pfo->has_pk_m == _TRUE_) out_pk[index_zvec*kvec_size+index_kvec] = 0.; + if (pfo->has_pk_cb == _TRUE_) out_pk_cb[index_zvec*kvec_size+index_kvec] = 0.; + /* (If needed, one could add instead some extrapolation here) */ + } + index_kvec++; + } + + free(ln_kvec); + if (pfo->has_pk_m == _TRUE_) { + free(ln_pk_table); + free(ddln_pk_table); + } + if (pfo->has_pk_cb == _TRUE_) { + free(ln_pk_cb_table); + free(ddln_pk_cb_table); + } + + return _SUCCESS_; +} + +/** + * Return the logarithmic slope of P(k,z) for a given (k,z), a given pk type (_m, _cb) + * (computed with linear P_L if pk_output = pk_linear, nonlinear P_NL if pk_output = pk_nonlinear) + * + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param pk_output Input: linear or nonlinear + * @param k Input: wavenumber in 1/Mpc + * @param z Input: redshift + * @param index_pk Input: index of pk type (_m, _cb) + * @param pk_tilt Output: logarithmic slope of P(k,z) + * @return the error status + */ + +int fourier_pk_tilt_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct fourier * pfo, + enum pk_outputs pk_output, + double k, + double z, + int index_pk, + double * pk_tilt + ) { + + double dlnk; + double out_pk1,out_pk2; + + /* typical step dln(k) on which we believe that out results are not + dominated by numerical errors and that the P(k,z) is slowly + varying */ + + dlnk = pfo->ln_k[pfo->k_size-1] - pfo->ln_k[pfo->k_size-2]; + + class_call(fourier_pk_at_k_and_z(pba, + ppm, + pfo, + pk_output, + k/(1.+dlnk), + z, + index_pk, + &out_pk1, + NULL), + pfo->error_message, + pfo->error_message); + + class_call(fourier_pk_at_k_and_z(pba, + ppm, + pfo, + pk_output, + k*(1.+dlnk), + z, + index_pk, + &out_pk2, + NULL), + pfo->error_message, + pfo->error_message); + + /* logarithmic derivative: n_eff = (logPk2 - logPk1)/(logk2-logk1) */ + + *pk_tilt = (log(out_pk2)-log(out_pk1))/(2.*log(1.+dlnk)); + + return _SUCCESS_; + +} + +/** + * This routine computes the variance of density fluctuations in a + * sphere of radius R at redshift z, sigma(R,z), or other similar derived + * quantitites, for one given pk type (_m, _cb). + * + * The integral is performed until the maximum value of k_max defined + * in the perturbation module. Here there is not automatic checking + * that k_max is large enough for the result to be well + * converged. E.g. to get an accurate sigma8 at R = 8 Mpc/h, the user + * should pass at least about P_k_max_h/Mpc = 1. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param R Input: radius in Mpc + * @param z Input: redshift + * @param index_pk Input: type of pk (_m, _cb) + * @param sigma_output Input: quantity to be computed (sigma, sigma', ...) + * @param result Output: result + * @return the error status + */ + +int fourier_sigmas_at_z( + struct precision * ppr, + struct background * pba, + struct fourier * pfo, + double R, + double z, + int index_pk, + enum out_sigmas sigma_output, + double * result + ) { + + double * out_pk; + double * ddout_pk; + + /** - allocate temporary array for P(k,z) as a function of k */ + + class_alloc(out_pk, pfo->k_size*sizeof(double), pfo->error_message); + class_alloc(ddout_pk, pfo->k_size*sizeof(double), pfo->error_message); + + /** - get P(k,z) as a function of k, for the right z */ + + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_linear, + z, + index_pk, + out_pk, + NULL), + pfo->error_message, + pfo->error_message); + + /** - spline it along k */ + + class_call(array_spline_table_columns(pfo->ln_k, + pfo->k_size, + out_pk, + 1, + ddout_pk, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /** - calll the function computing the sigmas */ + + class_call(fourier_sigmas(pfo, + R, + out_pk, + ddout_pk, + pfo->k_size, + ppr->sigma_k_per_decade, + sigma_output, + result), + pfo->error_message, + pfo->error_message); + + /** - free allocated arrays */ + + free(out_pk); + free(ddout_pk); + + return _SUCCESS_; +} + +/** + * Return the value of the non-linearity wavenumber k_nl for a given redshift z + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param z Input: redshift + * @param k_nl Output: k_nl value + * @param k_nl_cb Ouput: k_nl value of the cdm+baryon part only, if there is ncdm + * @return the error status + */ + +int fourier_k_nl_at_z( + struct background *pba, + struct fourier * pfo, + double z, + double * k_nl, + double * k_nl_cb + ) { + + double tau; + + /** - convert input redshift into a conformal time */ + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + /** - interpolate the precomputed k_nl array at the needed valuetime */ + + if (pfo->has_pk_m == _TRUE_) { + + if (pfo->tau_size == 1) { + *k_nl = pfo->k_nl[pfo->index_pk_m][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pfo->k_nl[pfo->index_pk_m], + 1, + pfo->tau_size, + tau, + k_nl, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + + /** - if needed, do the same for the baryon part only */ + + if (pfo->has_pk_cb == _TRUE_) { + + if (pfo->tau_size == 1) { + *k_nl_cb = pfo->k_nl[pfo->index_pk_cb][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pfo->k_nl[pfo->index_pk_cb], + 1, + pfo->tau_size, + tau, + k_nl_cb, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + + /* otherwise, return the same for k_nl_cb as for k_nl */ + + else{ + *k_nl_cb = *k_nl; + } + + return _SUCCESS_; +} + +/** + * Initialize the fourier structure, and in particular the + * nl_corr_density and k_nl interpolation tables. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to therodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input/Output: pointer to initialized fourier structure + * @return the error status + */ + +int fourier_init( + struct precision *ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct primordial *ppm, + struct fourier *pfo + ) { + + int index_ncdm; + int index_k; + int index_tau; + int index_tau_sources; + int index_tau_late; + int index_pk; + + double **pk_nl; + double **lnpk_l; + double **ddlnpk_l; + + short nl_corr_not_computable_at_this_k = _FALSE_; + + double * pvecback; + int last_index; + double a,z; + + struct fourier_workspace nw; + struct fourier_workspace * pnw; + + /** - Do we want to compute P(k,z)? Propagate the flag has_pk_matter + from the perturbations structure to the fourier structure */ + pfo->has_pk_matter = ppt->has_pk_matter; + + /** - preliminary tests */ + + /** --> This module only makes sense for dealing with scalar + perturbations, so it should do nothing if there are no + scalars */ + if (ppt->has_scalars == _FALSE_) { + pfo->method = nl_none; + if (pfo->fourier_verbose > 0) + printf("No scalar modes requested. Nonlinear module skipped.\n"); + return _SUCCESS_; + } + + /** --> Nothing to be done if we don't want the matter power spectrum */ + + if ((pfo->has_pk_matter == _FALSE_) && (pfo->method == nl_none)) { + if (pfo->fourier_verbose > 0) + printf("No Fourier spectra nor nonlinear corrections requested. Nonlinear module skipped.\n"); + return _SUCCESS_; + } + else { + if (pfo->fourier_verbose > 0) + printf("Computing linear Fourier spectra.\n"); + } + + /** --> check applicability of Halofit and HMcode */ + if (pfo->method > nl_none) { + + if (pba->has_ncdm == _TRUE_) { + for (index_ncdm=0;index_ncdm < pba->N_ncdm; index_ncdm++){ + if (pba->m_ncdm_in_eV[index_ncdm] > _M_EV_TOO_BIG_FOR_HALOFIT_) + fprintf(stdout,"Warning: Halofit and HMcode are proved to work for CDM, and also with a small HDM component. But it sounds like you are running with a WDM component of mass %f eV, which makes the use of Halofit suspicious.\n",pba->m_ncdm_in_eV[index_ncdm]); + } + } + if ((pba->has_idm == _TRUE_) && (ppt->perturbations_verbose > 0)){ + fprintf(stdout,"Warning: Halofit and HMcode are proved to work for CDM, and also with a small HDM component. But you have requested interacting dark matter (idm), which makes the use of Halofit or HMCode unreliable.\n"); + } + } + + /** - define indices in fourier structure (and allocate some arrays in the structure) */ + + class_call(fourier_indices( + ppr, + pba, + ppt, + ppm, + pfo), + pfo->error_message, + pfo->error_message); + + /** - get the linear power spectrum at each time */ + + for (index_tau=0; index_tauln_tau_size;index_tau++) { + + /* If the user only wants z=0, then pfo->ln_tau_size=1 and we go + only through index_tau=0. However we must pick up the last + value of the source, index_tau_sources = ppt->tau_size-1. If + the user wants several values of z, they correspond to the last + ppt->ln_tau_size values of the sources (those that were also + part of the array ppt->late_sources in the perturbation + module). In all cases, the following formula gives the + correspondance between index_tau in the current array and in + the sources array: + */ + + index_tau_sources = ppt->tau_size-ppt->ln_tau_size+index_tau; + + /** --> loop over required pk types (_m, _cb) */ + + for (index_pk=0; index_pkpk_size; index_pk++) { + + /** --> get the linear power spectrum for this time and this type */ + + class_call(fourier_pk_linear( + pba, + ppt, + ppm, + pfo, + index_pk, + index_tau_sources, + pfo->k_size, + &(pfo->ln_pk_l[index_pk][index_tau * pfo->k_size]), + &(pfo->ln_pk_ic_l[index_pk][index_tau * pfo->k_size * pfo->ic_ic_size]) + ), + pfo->error_message, + pfo->error_message); + + + /** --> if interpolation of \f$P(k,\tau)\f$ will be needed (as a + function of tau), compute array of second derivatives in view of + spline interpolation */ + + if (pfo->ln_tau_size > 1) { + + class_call(array_spline_table_lines(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_l[index_pk], + pfo->k_size, + pfo->ddln_pk_l[index_pk], + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + class_call(array_spline_table_lines(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_ic_l[index_pk], + pfo->k_size*pfo->ic_ic_size, + pfo->ddln_pk_ic_l[index_pk], + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + } + + /** - compute and store sigma8 (variance of density fluctuations in + spheres of radius 8/h Mpc at z=0, always computed by + convention using the linear power spectrum) */ + + for (index_pk=0; index_pkpk_size; index_pk++) { + + class_call(fourier_sigmas_at_z(ppr, + pba, + pfo, + 8./pba->h, + 0., + index_pk, + out_sigma, + &(pfo->sigma8[index_pk])), + pfo->error_message, + pfo->error_message); + } + + if (pfo->fourier_verbose>0) { + + if (pfo->has_pk_m == _TRUE_) + fprintf(stdout," -> sigma8=%g for total matter (computed till k = %g h/Mpc)\n", + pfo->sigma8[pfo->index_pk_m], + pfo->k[pfo->k_size-1]/pba->h); + + if (pfo->has_pk_cb == _TRUE_) + fprintf(stdout," -> sigma8=%g for baryons+cdm (computed till k = %g h/Mpc)\n", + pfo->sigma8[pfo->index_pk_cb], + pfo->k[pfo->k_size-1]/pba->h); + } + + /** - get the non-linear power spectrum at each time */ + + /** --> First deal with the case where non non-linear corrections requested */ + + if (pfo->method == nl_none) { + if (pfo->fourier_verbose > 0) + printf("No non-linear spectra requested. Nonlinear calculations skipped.\n"); + } + + /** --> Then go through common preliminary steps to the HALOFIT and HMcode methods */ + else if ((pfo->method == nl_halofit) || ((pfo->method == nl_HMcode))) { + + if ((pfo->fourier_verbose > 0) && (pfo->method == nl_halofit)) + printf("Computing non-linear matter power spectrum with Halofit (including update Takahashi et al. 2012 and Bird 2014)\n"); + + if ((pfo->fourier_verbose > 0) && (pfo->method == nl_HMcode)) + printf("Computing non-linear matter power spectrum with HMcode \n"); + + /** --> allocate temporary arrays for spectra at each given time/redshift */ + + class_alloc(pk_nl, + pfo->k_size*sizeof(double), + pfo->error_message); + + class_alloc(lnpk_l, + pfo->k_size*sizeof(double), + pfo->error_message); + + class_alloc(ddlnpk_l, + pfo->k_size*sizeof(double), + pfo->error_message); + + for (index_pk=0; index_pkpk_size; index_pk++){ + class_alloc(pk_nl[index_pk],pfo->k_size*sizeof(double),pfo->error_message); + class_alloc(lnpk_l[index_pk],pfo->k_size_extra*sizeof(double),pfo->error_message); + class_alloc(ddlnpk_l[index_pk],pfo->k_size_extra*sizeof(double),pfo->error_message); + } + + /** --> Then go through preliminary steps specific to HMcode */ + + if (pfo->method == nl_HMcode){ + + pnw = &nw; + + class_call(fourier_hmcode_workspace_init(ppr,pba,pfo,pnw), + pfo->error_message, + pfo->error_message); + + class_call(fourier_hmcode_dark_energy_correction(ppr,pba,pfo,pnw), + pfo->error_message, + pfo->error_message); + + class_call(fourier_hmcode_baryonic_feedback(pfo), + pfo->error_message, + pfo->error_message); + } + + /** --> Loop over decreasing time/growing redhsift. For each + time/redshift, compute P_NL(k,z) using either Halofit or + HMcode */ + + /* this flag will become _TRUE_ at the minimum redshift such that + the non-lienar corrections cannot be consistently computed */ + nl_corr_not_computable_at_this_k = _FALSE_; + + /* this index will refer to the value of time corresponding to + that redhsift */ + pfo->index_tau_min_nl = 0; + + for (index_tau = pfo->tau_size-1; index_tau>=0; index_tau--) { + + /* loop over index_pk, defined such that it is ensured + * that index_pk starts at index_pk_cb when neutrinos are + * included. This is necessary for hmcode, since the sigmatable + * needs to be filled for sigma_cb only. Thus, when HMcode + * evalutes P_m_nl, it needs both P_m_l and P_cb_l. */ + + for (index_pk=0; index_pkpk_size; index_pk++) { + + /* get P_L(k) at this time */ + class_call(fourier_pk_linear( + pba, + ppt, + ppm, + pfo, + index_pk, + index_tau, + pfo->k_size_extra, + lnpk_l[index_pk], + NULL + ), + pfo->error_message, + pfo->error_message); + + /* spline P_L(k) at this time along k */ + class_call(array_spline_table_columns( + pfo->ln_k, + pfo->k_size_extra, + lnpk_l[index_pk], + 1, + ddlnpk_l[index_pk], + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /* if we are still in a range of time where P_NL(k) should be computable */ + if (nl_corr_not_computable_at_this_k == _FALSE_) { + + /* get P_NL(k) at this time with Halofit */ + if (pfo->method == nl_halofit) { + + class_call(fourier_halofit( + ppr, + pba, + ppt, + ppm, + pfo, + index_pk, + pfo->tau[index_tau], + pk_nl[index_pk], + lnpk_l[index_pk], + ddlnpk_l[index_pk], + &(pfo->k_nl[index_pk][index_tau]), + &nl_corr_not_computable_at_this_k), + pfo->error_message, + pfo->error_message); + + } + + /* get P_NL(k) at this time with HMcode */ + else if (pfo->method == nl_HMcode) { + + /* (preliminary step: fill table of sigma's, only for _cb if there is both _cb and _m) */ + if (index_pk == 0) { + class_call(fourier_hmcode_fill_sigtab(ppr, + pba, + ppt, + ppm, + pfo, + index_tau, + lnpk_l[index_pk], + ddlnpk_l[index_pk], + pnw), + pfo->error_message, pfo->error_message); + } + + class_call_except(fourier_hmcode(ppr, + pba, + ppt, + ppm, + pfo, + index_pk, + index_tau, + pfo->tau[index_tau], + pk_nl[index_pk], + lnpk_l, + ddlnpk_l, + &(pfo->k_nl[index_pk][index_tau]), + &nl_corr_not_computable_at_this_k, + pnw), + pfo->error_message, + pfo->error_message, + fourier_free(pfo); + fourier_hmcode_workspace_free(pfo,pnw); + for (index_pk=0; index_pkpk_size; index_pk++){ + free(pk_nl[index_pk]); + free(lnpk_l[index_pk]); + free(ddlnpk_l[index_pk]); + }; + free(pk_nl); + free(lnpk_l); + free(ddlnpk_l); + ); + } + + /* infer and store R_NL=(P_NL/P_L)^1/2 */ + if (nl_corr_not_computable_at_this_k == _FALSE_) { + for (index_k=0; index_kk_size; index_k++) { + pfo->nl_corr_density[index_pk][index_tau * pfo->k_size + index_k] = sqrt(pk_nl[index_pk][index_k]/exp(lnpk_l[index_pk][index_k])); + } + } + + /* otherwise we met the first problematic value of time */ + else { + + /* store the index of that value */ + pfo->index_tau_min_nl = MIN(pfo->tau_size-1,index_tau+1); //this MIN() ensures that index_tau_min_nl is never out of bounds + + /* store R_NL=1 for that time */ + for (index_k=0; index_kk_size; index_k++) { + pfo->nl_corr_density[index_pk][index_tau * pfo->k_size + index_k] = 1.; + } + + /* send a warning to inform user about the corresponding value of redshift */ + if (pfo->fourier_verbose > 0) { + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + class_call(background_at_tau(pba,pfo->tau[index_tau],short_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + a = pvecback[pba->index_bg_a]; + /* redshift (remeber that a in the code stands for (a/a_0)) */ + z = 1./a-1.; + fprintf(stdout, + " -> [WARNING:] Non-linear corrections could not be computed at redshift z=%5.2f and higher.\n This is because k_max is too small for the algorithm (Halofit or HMcode) to be able to compute the scale k_NL at this redshift.\n If non-linear corrections at such high redshift really matter for you,\n just try to increase the precision parameter nonlinear_min_k_max (currently at %e) until k_NL can be computed at the desired z.\n",z,ppr->nonlinear_min_k_max); + + free(pvecback); + } + } + } + + /* if we are still in a range of time where P_NL(k) should NOT be computable */ + else { + /* store R_NL=1 for that time */ + for (index_k=0; index_kk_size; index_k++) { + pfo->nl_corr_density[index_pk][index_tau * pfo->k_size + index_k] = 1.; + } + + } + + /** --> fill the array of nonlinear power spectra (only if we + are at a late time where P(k) and T(k) are supposed to + be stored, i.e., such that z(tau < z_max_pk) */ + + if (index_tau >= pfo->tau_size - pfo->ln_tau_size) { + + index_tau_late = index_tau - (pfo->tau_size - pfo->ln_tau_size); + + for (index_k=0; index_kk_size; index_k++) { + pfo->ln_pk_nl[index_pk][index_tau_late * pfo->k_size + index_k] = pfo->ln_pk_l[index_pk][index_tau_late * pfo->k_size + index_k] + 2.*log(pfo->nl_corr_density[index_pk][index_tau * pfo->k_size + index_k]); + } + } + + } // end loop over index_pk + } //end loop over index_tau + + + /** --> spline the array of nonlinear power spectrum */ + + if (pfo->ln_tau_size > 1) { + for (index_pk=0; index_pkpk_size; index_pk++) { + + class_call(array_spline_table_lines(pfo->ln_tau, + pfo->ln_tau_size, + pfo->ln_pk_nl[index_pk], + pfo->k_size, + pfo->ddln_pk_nl[index_pk], + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + } + + /* --> free temporary arrays */ + + for (index_pk=0; index_pkpk_size; index_pk++){ + free(pk_nl[index_pk]); + free(lnpk_l[index_pk]); + free(ddlnpk_l[index_pk]); + } + + free(pk_nl); + free(lnpk_l); + free(ddlnpk_l); + + /** --> free the nonlinear workspace */ + + if (pfo->method == nl_HMcode) { + + class_call(fourier_hmcode_workspace_free(pfo,pnw), + pfo->error_message, + pfo->error_message); + } + } + + /** - if the nl_method could not be identified */ + else { + class_stop(pfo->error_message, + "Your non-linear method variable is set to %d, out of the range defined in fourier.h",pfo->method); + } + + return _SUCCESS_; +} + +/** + * Free all memory space allocated by fourier_init(). + * + * + * @param pfo Input: pointer to fourier structure (to be freed) + * @return the error status + */ + +int fourier_free( + struct fourier *pfo + ) { + int index_pk; + + if ((pfo->has_pk_matter == _TRUE_) || (pfo->method > nl_none)) { + + free(pfo->k); + free(pfo->ln_k); + + for (index_pk=0; index_pkpk_size; index_pk++) { + free(pfo->ln_pk_ic_l[index_pk]); + free(pfo->ln_pk_l[index_pk]); + if (pfo->ln_tau_size>1) { + free(pfo->ddln_pk_ic_l[index_pk]); + free(pfo->ddln_pk_l[index_pk]); + } + } + free(pfo->ln_pk_ic_l); + free(pfo->ln_pk_l); + + free (pfo->sigma8); + + if (pfo->ln_tau_size>1) { + free(pfo->ddln_pk_ic_l); + free(pfo->ddln_pk_l); + free(pfo->ln_tau); + } + + free(pfo->is_non_zero); + } + + if (pfo->method > nl_none) { + + free(pfo->tau); + for (index_pk=0;index_pkpk_size;index_pk++){ + free(pfo->nl_corr_density[index_pk]); + free(pfo->k_nl[index_pk]); + free(pfo->ln_pk_nl[index_pk]); + if (pfo->ln_tau_size > 1) + free(pfo->ddln_pk_nl[index_pk]); + } + free(pfo->nl_corr_density); + free(pfo->k_nl); + free(pfo->ln_pk_nl); + if (pfo->ln_tau_size > 1) + free(pfo->ddln_pk_nl); + } + + if (pfo->has_pk_eq == _TRUE_) { + free(pfo->pk_eq_tau); + free(pfo->pk_eq_w_and_Omega); + free(pfo->pk_eq_ddw_and_ddOmega); + } + + return _SUCCESS_; +} + +/** + * Define indices in the fourier structure, and when possible, allocate + * arrays in this structure given the index sizes found here + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input/Output: pointer to fourier structure + * @return the error status + */ + +int fourier_indices( + struct precision *ppr, + struct background *pba, + struct perturbations * ppt, + struct primordial * ppm, + struct fourier * pfo + ) { + + int index_ic1_ic2; + int index_pk; + + /** - define indices for initial conditions (and allocate related arrays) */ + pfo->index_md_scalars = ppt->index_md_scalars; + pfo->ic_size = ppm->ic_size[pfo->index_md_scalars]; + pfo->ic_ic_size = ppm->ic_ic_size[pfo->index_md_scalars]; + class_alloc(pfo->is_non_zero,sizeof(short)*pfo->ic_ic_size,pfo->error_message); + for (index_ic1_ic2=0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) + pfo->is_non_zero[index_ic1_ic2] = ppm->is_non_zero[pfo->index_md_scalars][index_ic1_ic2]; + + /** - define flags indices for pk types (_m, _cb). Note: due to some + dependencies in HMcode, when pfo->index_pk_cb exists, it must + come first (e.g. the calculation of the non-linear P_m depends on + sigma_cb so the cb-related quantitites must be evaluated + first) */ + + pfo->has_pk_m = _TRUE_; + if (pba->has_ncdm == _TRUE_) { + pfo->has_pk_cb = _TRUE_; + } + else { + pfo->has_pk_cb = _FALSE_; + } + + index_pk = 0; + class_define_index(pfo->index_pk_cb, pfo->has_pk_cb, index_pk,1); + class_define_index(pfo->index_pk_m, pfo->has_pk_m, index_pk,1); + pfo->pk_size = index_pk; + + /* and two redundent but useful indices: */ + + if (pfo->has_pk_cb == _TRUE_) { + pfo->index_pk_total = pfo->index_pk_m; + pfo->index_pk_cluster = pfo->index_pk_cb; + } + else { + pfo->index_pk_total = pfo->index_pk_m; + pfo->index_pk_cluster = pfo->index_pk_m; + } + + /** - get list of k values */ + + class_call(fourier_get_k_list(ppr,ppt,pfo), + pfo->error_message, + pfo->error_message); + + /** - get list of tau values */ + + class_call(fourier_get_tau_list(ppt,pfo), + pfo->error_message, + pfo->error_message); + + /** - given previous indices, we can allocate the array of linear power spectrum values */ + + class_alloc(pfo->ln_pk_ic_l,pfo->pk_size*sizeof(double*),pfo->error_message); + class_alloc(pfo->ln_pk_l ,pfo->pk_size*sizeof(double*),pfo->error_message); + + for (index_pk=0; index_pkpk_size; index_pk++) { + class_alloc(pfo->ln_pk_ic_l[index_pk],pfo->ln_tau_size*pfo->k_size*pfo->ic_ic_size*sizeof(double*),pfo->error_message); + class_alloc(pfo->ln_pk_l[index_pk] ,pfo->ln_tau_size*pfo->k_size*sizeof(double*),pfo->error_message); + } + + /** - if interpolation of \f$P(k,\tau)\f$ will be needed (as a function of tau), + compute also the array of second derivatives in view of spline interpolation */ + + if (pfo->ln_tau_size > 1) { + + class_alloc(pfo->ddln_pk_ic_l,pfo->pk_size*sizeof(double*),pfo->error_message); + class_alloc(pfo->ddln_pk_l ,pfo->pk_size*sizeof(double*),pfo->error_message); + + for (index_pk=0; index_pkpk_size; index_pk++) { + class_alloc(pfo->ddln_pk_ic_l[index_pk],pfo->ln_tau_size*pfo->k_size*pfo->ic_ic_size*sizeof(double*),pfo->error_message); + class_alloc(pfo->ddln_pk_l[index_pk] ,pfo->ln_tau_size*pfo->k_size*sizeof(double*),pfo->error_message); + } + } + + /** - array of sigma8 values */ + + class_alloc(pfo->sigma8,pfo->pk_size*sizeof(double*),pfo->error_message); + + /** - if non-linear computations needed, allocate array of + non-linear correction ratio R_nl(k,z), k_nl(z) and P_nl(k,z) + for each P(k) type */ + + if (pfo->method > nl_none) { + + class_alloc(pfo->k_nl, + pfo->pk_size*sizeof(double *), + pfo->error_message); + + class_alloc(pfo->nl_corr_density, + pfo->pk_size*sizeof(double *), + pfo->error_message); + + class_alloc(pfo->ln_pk_nl,pfo->pk_size*sizeof(double*),pfo->error_message); + if (pfo->ln_tau_size > 1) + class_alloc(pfo->ddln_pk_nl,pfo->pk_size*sizeof(double*),pfo->error_message); + + for (index_pk=0; index_pkpk_size; index_pk++){ + class_alloc(pfo->k_nl[index_pk],pfo->tau_size*sizeof(double),pfo->error_message); + class_alloc(pfo->nl_corr_density[index_pk],pfo->tau_size*pfo->k_size*sizeof(double),pfo->error_message); + class_alloc(pfo->ln_pk_nl[index_pk],pfo->ln_tau_size*pfo->k_size*sizeof(double*),pfo->error_message); + if (pfo->ln_tau_size > 1) + class_alloc(pfo->ddln_pk_nl[index_pk],pfo->ln_tau_size*pfo->k_size*sizeof(double*),pfo->error_message); + } + } + + return _SUCCESS_; +} + +/** + * Copy list of k from perturbation module, and extended it if + * necessary to larger k for extrapolation (currently this + * extrapolation is required only by HMcode) + * + * @param ppr Input: pointer to precision structure + * @param ppt Input: pointer to perturbation structure + * @param pfo Input/Output: pointer to fourier structure + * @return the error status + */ + +int fourier_get_k_list( + struct precision *ppr, + struct perturbations * ppt, + struct fourier * pfo + ) { + + double k=0; + double k_max,exponent; + int index_k; + + pfo->k_size = ppt->k_size[pfo->index_md_scalars]; + pfo->k_size_pk = ppt->k_size_pk; + k_max = ppt->k[pfo->index_md_scalars][pfo->k_size-1]; + + /** - if k extrapolation necessary, compute number of required extra values */ + if (pfo->method == nl_HMcode){ + index_k=0; + while(k < ppr->hmcode_max_k_extra && index_k < _MAX_NUM_EXTRAPOLATION_){ + index_k++; + k = k_max * pow(10,(double)index_k/ppr->k_per_decade_for_pk); + } + class_test(index_k == _MAX_NUM_EXTRAPOLATION_, + pfo->error_message, + "could not reach extrapolated value k = %.10e starting from k = %.10e with k_per_decade of %.10e in _MAX_NUM_INTERPOLATION_=%i steps", + ppr->hmcode_max_k_extra,k_max,ppr->k_per_decade_for_pk,_MAX_NUM_EXTRAPOLATION_ + ); + pfo->k_size_extra = pfo->k_size+index_k; + } + /** - otherwise, same number of values as in perturbation module */ + else { + pfo->k_size_extra = pfo->k_size; + } + + /** - allocate array of k */ + class_alloc(pfo->k, pfo->k_size_extra*sizeof(double),pfo->error_message); + class_alloc(pfo->ln_k,pfo->k_size_extra*sizeof(double),pfo->error_message); + + /** - fill array of k (not extrapolated) */ + for (index_k=0; index_kk_size; index_k++) { + k = ppt->k[pfo->index_md_scalars][index_k]; + pfo->k[index_k] = k; + pfo->ln_k[index_k] = log(k); + } + + /** - fill additional values of k (extrapolated) */ + for (index_k=pfo->k_size; index_kk_size_extra; index_k++) { + exponent = (double)(index_k-(pfo->k_size-1))/ppr->k_per_decade_for_pk; + pfo->k[index_k] = k * pow(10,exponent); + pfo->ln_k[index_k] = log(k) + exponent*log(10.); + } + + return _SUCCESS_; +} + +/** + * Copy list of tau from perturbation module + * + * @param ppt Input: pointer to perturbation structure + * @param pfo Input/Output: pointer to fourier structure + * @return the error status + */ + +int fourier_get_tau_list( + struct perturbations * ppt, + struct fourier * pfo + ) { + + int index_tau; + + /** -> for linear calculations: only late times are considered, given the value z_max_pk inferred from the ionput */ + pfo->ln_tau_size = ppt->ln_tau_size; + + if (ppt->ln_tau_size > 1) { + + class_alloc(pfo->ln_tau,pfo->ln_tau_size*sizeof(double),pfo->error_message); + + for (index_tau=0; index_tauln_tau_size;index_tau++) { + pfo->ln_tau[index_tau] = ppt->ln_tau[index_tau]; + } + } + + /** -> for non-linear calculations: we wills store a correction factor for all times */ + if (pfo->method > nl_none) { + + pfo->tau_size = ppt->tau_size; + + class_alloc(pfo->tau,pfo->tau_size*sizeof(double),pfo->error_message); + + for (index_tau=0; index_tautau_size; index_tau++) { + pfo->tau[index_tau] = ppt->tau_sampling[index_tau]; + } + } + return _SUCCESS_; +} + +/** + * Get sources for a given wavenumber (and for a given time, type, ic, + * mode...) either directly from precomputed valkues (computed ain + * perturbation module), or by analytic extrapolation + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param pfo Input: pointer to fourier structure + * @param index_k Input: index of required k value + * @param index_ic Input: index of required ic value + * @param index_tp Input: index of required tp value + * @param index_tau Input: index of required tau value + * @param sources Input: array containing the original sources + * @param source Output: desired value of source + * @return the error status + */ + +int fourier_get_source( + struct background * pba, + struct perturbations * ppt, + struct fourier * pfo, + int index_k, + int index_ic, + int index_tp, + int index_tau, + double ** sources, + double * source + ) { + + double k,k_max,k_previous; + double source_max,source_previous; + double scaled_factor,log_scaled_factor; + + /** - use precomputed values */ + if (index_k < pfo->k_size) { + *source = sources[index_ic * ppt->tp_size[pfo->index_md_scalars] + index_tp][index_tau * pfo->k_size + index_k]; + } + /** - extrapolate **/ + else { + + k = pfo->k[index_k]; + + /** + * --> Get last source and k, which are used in (almost) all methods + */ + k_max = pfo->k[pfo->k_size-1]; + source_max = sources[index_ic * ppt->tp_size[pfo->index_md_scalars] + index_tp][index_tau * pfo->k_size + pfo->k_size - 1]; + + /** + * --> Get previous source and k, which are used in best methods + */ + k_previous = pfo->k[pfo->k_size-2]; + source_previous = sources[index_ic * ppt->tp_size[pfo->index_md_scalars] + index_tp][index_tau * pfo->k_size + pfo->k_size - 2]; + + switch(pfo->extrapolation_method){ + /** + * --> Extrapolate by assuming the source to vanish Has terrible + * discontinuity + */ + case extrap_zero: + { + *source=0.0; + break; + } + /** + * --> Extrapolate starting from the maximum value, assuming growth ~ ln(k) + * Has a terrible bend in log slope, discontinuity only in derivative + */ + case extrap_only_max: + { + *source = source_max*(log(k)/log(k_max)); + break; + } + /** + * --> Extrapolate starting from the maximum value, assuming + * growth ~ ln(k) Here we use k in h/Mpc instead of 1/Mpc as it + * is done in the CAMB implementation of HMcode Has a terrible + * bend in log slope, discontinuity only in derivative + */ + case extrap_only_max_units: + { + *source = source_max*(log(k/pba->h)/log(k_max/pba->h)); + break; + } + /** + * --> Extrapolate assuming source ~ ln(a*k) where a is obtained + * from the data at k_0 Mostly continuous derivative, quite good + */ + case extrap_max_scaled: + { + log_scaled_factor = (source_previous*log(k_max)-source_max*log(k_previous))/(source_max-source_previous); + *source = source_max*((log_scaled_factor+log(k))/(log_scaled_factor+log(k_max))); + break; + } + /** + * --> Extrapolate assuming source ~ ln(e+a*k) where a is + * estimated like is done in original HMCode + */ + case extrap_hmcode: + { + scaled_factor = 1.8/(13.41*pba->a_eq*pba->H_eq); + *source = source_max*(log(_E_+scaled_factor*k)/log(_E_+scaled_factor*k_max)); + break; + } + /** + * --> If the user has a complicated model and wants to + * interpolate differently, they can define their interpolation + * here and switch to using it instead + */ + case extrap_user_defined: + { + class_stop(pfo->error_message,"Method of source extrapolation 'user_defined' was not yet defined."); + break; + } + } + } + return _SUCCESS_; +} + +/** + * This routine computes all the components of the matter power + * spectrum P(k), given the source functions and the primordial + * spectra, at a given time within the pre-computed table of sources + * (= Fourier transfer functions) of the perturbation module, for a + * given type (total matter _m or baryon+CDM _cb), and for the same + * array of k values as in the pre-computed table. + * + * If the input array of k values pfo->ln_k contains wavemumbers + * larger than those of the pre-computed table, the sources will be + * extrapolated analytically. + * + * On the opther hand, if the primordial spectrum has sharp features + * and needs to be sampled on a finer grid than the sources, this + * function has to be modified to capture the features. + * + * There are two output arrays, because we consider: + * + * - the total matter (_m) or CDM+baryon (_cb) power spectrum + * + * - in the quantitites labelled _ic, the splitting of one of these + * spectra in different modes for different initial conditions. If the + * pointer ln_pk_ic is NULL in input, the function will ignore this + * part; thus, to get the result, one should allocate the array before + * calling the function. Then the convention is the following: + * + * -- the index_ic1_ic2 labels ordered pairs (index_ic1, index_ic2) + * (since the primordial spectrum is symmetric in (index_ic1, + * index_ic2)). + * + * -- for diagonal elements (index_ic1 = index_ic2) this + * arrays contains ln[P(k)] where P(k) is positive by construction. + * + * -- for non-diagonal elements this arrays contains the k-dependent + * cosine of the correlation angle, namely P(k)_(index_ic1, + * index_ic2)/sqrt[P(k)_index_ic1 P(k)_index_ic2]. E.g. for fully + * correlated or anti-correlated initial conditions, this non-diagonal + * element is independent on k, and equal to +1 or -1. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param index_pk Input: index of required P(k) type (_m, _cb) + * @param index_tau Input: index of time + * @param k_size Input: wavenumber array size + * @param lnpk Output: log of matter power spectrum for given type/time, for all wavenumbers + * @param lnpk_ic Output: log of matter power spectrum for given type/time, for all wavenumbers and initial conditions + * @return the error status + */ + +int fourier_pk_linear( + struct background *pba, + struct perturbations *ppt, + struct primordial *ppm, + struct fourier *pfo, + int index_pk, + int index_tau, + int k_size, + double * lnpk, //lnpk[index_k] + double * lnpk_ic //lnpk[index_k * pfo->ic_ic_size + index_ic1_ic2] + ) { + + int index_k; + int index_tp; + int index_ic1,index_ic2,index_ic1_ic1,index_ic1_ic2,index_ic2_ic2; + double * primordial_pk; + double pk; + double * pk_ic; + double source_ic1; + double source_ic2; + double cosine_correlation; + + /** - allocate temporary vector where the primordial spectrum will be stored */ + + class_alloc(primordial_pk,pfo->ic_ic_size*sizeof(double),pfo->error_message); + + class_alloc(pk_ic,pfo->ic_ic_size*sizeof(double),pfo->error_message); + + if ((pfo->has_pk_m == _TRUE_) && (index_pk == pfo->index_pk_m)) { + index_tp = ppt->index_tp_delta_m; + } + else if ((pfo->has_pk_cb == _TRUE_) && (index_pk == pfo->index_pk_cb)) { + index_tp = ppt->index_tp_delta_cb; + } + else { + class_stop(pfo->error_message,"P(k) is set neither to total matter nor to cold dark matter + baryons"); + } + + /** - loop over k values */ + + for (index_k=0; index_k get primordial spectrum */ + class_call(primordial_spectrum_at_k(ppm,pfo->index_md_scalars,logarithmic,pfo->ln_k[index_k],primordial_pk), + ppm->error_message, + pfo->error_message); + + /** --> initialize a local variable for P_m(k) and P_cb(k) to zero */ + pk = 0.; + + /** --> here we recall the relations relevant for the nomalization fo the power spectrum: + For adiabatic modes, the curvature primordial spectrum thnat we just read was: + P_R(k) = 1/(2pi^2) k^3 < R R > + Thus the primordial curvature correlator is given by: + < R R > = (2pi^2) k^-3 P_R(k) + So the delta_m correlator reads: + P(k) = < delta_m delta_m > = (source_m)^2 < R R > = (2pi^2) k^-3 (source_m)^2 P_R(k) + + For isocurvature or cross adiabatic-isocurvature parts, + one would just replace one or two 'R' by 'S_i's */ + + /** --> get contributions to P(k) diagonal in the initial conditions */ + for (index_ic1 = 0; index_ic1 < pfo->ic_size; index_ic1++) { + + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + + class_call(fourier_get_source(pba, + ppt, + pfo, + index_k, + index_ic1, + index_tp, + index_tau, + ppt->sources[pfo->index_md_scalars], + &source_ic1), + pfo->error_message, + pfo->error_message); + + pk_ic[index_ic1_ic1] = 2.*_PI_*_PI_/exp(3.*pfo->ln_k[index_k]) + *source_ic1*source_ic1 + *exp(primordial_pk[index_ic1_ic1]); + + pk += pk_ic[index_ic1_ic1]; + + if (lnpk_ic != NULL) { + lnpk_ic[index_k * pfo->ic_ic_size + index_ic1_ic1] = log(pk_ic[index_ic1_ic1]); + } + } + + /** --> get contributions to P(k) non-diagonal in the initial conditions */ + for (index_ic1 = 0; index_ic1 < pfo->ic_size; index_ic1++) { + for (index_ic2 = index_ic1+1; index_ic2 < pfo->ic_size; index_ic2++) { + + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,pfo->ic_size); + index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,pfo->ic_size); + index_ic2_ic2 = index_symmetric_matrix(index_ic2,index_ic2,pfo->ic_size); + + if (pfo->is_non_zero[index_ic1_ic2] == _TRUE_) { + + class_call(fourier_get_source(pba, + ppt, + pfo, + index_k, + index_ic1, + index_tp, + index_tau, + ppt->sources[pfo->index_md_scalars], + &source_ic1), + pfo->error_message, + pfo->error_message); + + class_call(fourier_get_source(pba, + ppt, + pfo, + index_k, + index_ic2, + index_tp, + index_tau, + ppt->sources[pfo->index_md_scalars], + &source_ic2), + pfo->error_message, + pfo->error_message); + + cosine_correlation = primordial_pk[index_ic1_ic2]*SIGN(source_ic1)*SIGN(source_ic2); + + pk_ic[index_ic1_ic2] = cosine_correlation * sqrt(pk_ic[index_ic1_ic1]*pk_ic[index_ic2_ic2]); + + pk += 2.*pk_ic[index_ic1_ic2]; + + if (lnpk_ic != NULL) { + lnpk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] = cosine_correlation; + } + } + else { + if (lnpk_ic != NULL) { + lnpk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] = 0.; + } + } + } + } + + lnpk[index_k] = log(pk); + } + + free(primordial_pk); + free(pk_ic); + + return _SUCCESS_; + +} + +/** + * Calculate intermediate quantities for hmcode (sigma, sigma', ...) + * for a given scale R and a given input P(k). + * + * This function has several differences w.r.t. the standard external + * function non_linear_sigma (format of input, of output, integration + * stepsize, management of extrapolation at large k, ...) and is + * overall more precise for sigma(R). + * + * @param pfo Input: pointer to fourier structure + * @param R Input: scale at which to compute sigma + * @param lnpk_l Input: array of ln(P(k)) + * @param ddlnpk_l Input: its spline along k + * @param k_size Input: dimension of array lnpk_l, normally pfo->k_size, but inside hmcode it its increased by extrapolation to pfo->k_extra_size + * @param k_per_decade Input: logarithmic step for the integral (recommended: pass ppr->sigma_k_per_decade) + * @param sigma_output Input: quantity to be computed (sigma, sigma', ...) + * @param result Output: result + * @return the error status + */ + +int fourier_sigmas( + struct fourier * pfo, + double R, + double * lnpk_l, + double * ddlnpk_l, + int k_size, + double k_per_decade, + enum out_sigmas sigma_output, + double * result + ) { + double pk, lnpk; + + double * array_for_sigma; + int index_num; + int index_x; + int index_y; + int index_ddy; + int i=0; + int integrand_size; + int last_index=0; + + double k,W,W_prime,x,t; + + /** - allocate temporary array for an integral over y(x) */ + + class_define_index(index_x, _TRUE_,i,1); // index for x + class_define_index(index_y, _TRUE_,i,1); // index for integrand + class_define_index(index_ddy,_TRUE_,i,1); // index for its second derivative (spline method) + index_num=i; // number of columns in the array + + integrand_size=(int)(log(pfo->k[k_size-1]/pfo->k[0])/log(10.)*k_per_decade)+1; + class_alloc(array_for_sigma, + integrand_size*index_num*sizeof(double), + pfo->error_message); + + /** - fill the array with values of k and of the integrand */ + + for (i=0; ik[0]*pow(10.,i/k_per_decade); + + if (i==0) { + pk = exp(lnpk_l[0]); + } + else { + class_call(array_interpolate_spline( + pfo->ln_k, + k_size, + lnpk_l, + ddlnpk_l, + 1, + log(k), + &last_index, + &lnpk, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + pk = exp(lnpk); + } + + t = 1./(1.+k); + if (i == (integrand_size-1)) k *= 0.9999999; // to prevent rounding error leading to k being bigger than maximum value + x=k*R; + + switch (sigma_output) { + + case out_sigma: + if (x<0.01) + W = 1.-x*x/10.; + else + W = 3./x/x/x*(sin(x)-x*cos(x)); + array_for_sigma[(integrand_size-1-i)*index_num+index_x] = t; + array_for_sigma[(integrand_size-1-i)*index_num+index_y] = k*k*k*pk*W*W/(t*(1.-t)); + break; + + case out_sigma_prime: + if (x<0.01) { + W = 1.-x*x/10.; + W_prime = -0.2*x; + } + else { + W = 3./x/x/x*(sin(x)-x*cos(x)); + W_prime = 3./x/x*sin(x)-9./x/x/x/x*(sin(x)-x*cos(x)); + } + array_for_sigma[(integrand_size-1-i)*index_num+index_x] = t; + array_for_sigma[(integrand_size-1-i)*index_num+index_y] = k*k*k*pk*2.*k*W*W_prime/(t*(1.-t)); + break; + + case out_sigma_disp: + if (x<0.01) + W = 1.-x*x/10.; + else + W = 3./x/x/x*(sin(x)-x*cos(x)); + array_for_sigma[(integrand_size-1-i)*index_num+index_x] = k; + array_for_sigma[(integrand_size-1-i)*index_num+index_y] = -pk*W*W; + break; + } + } + + /** - spline the integrand */ + + class_call(array_spline(array_for_sigma, + index_num, + integrand_size, + index_x, + index_y, + index_ddy, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /** - integrate */ + + class_call(array_integrate_all_trapzd_or_spline(array_for_sigma, + index_num, + integrand_size, + 0, //integrand_size-1, + index_x, + index_y, + index_ddy, + result, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /** - preperly normalize the final result */ + + switch (sigma_output) { + + case out_sigma: + *result = sqrt(*result/(2.*_PI_*_PI_)); + break; + + case out_sigma_prime: + *result = *result/(2.*_PI_*_PI_); + break; + + case out_sigma_disp: + *result = sqrt(*result/(2.*_PI_*_PI_*3.)); + break; + } + + /** - free allocated array */ + + free(array_for_sigma); + + return _SUCCESS_; +} + +/** + * This routine computes the variance of density fluctuations in a + * sphere of radius R at redshift z, sigma(R,z) for one given pk type (_m, _cb). + * + * Try to use instead fourier_sigmas_at_z(). This function is just + * maintained for compatibility with the deprecated function + * harmonic_sigma() + * + * The integral is performed until the maximum value of k_max defined + * in the perturbation module. Here there is not automatic checking + * that k_max is large enough for the result to be well + * converged. E.g. to get an accurate sigma8 at R = 8 Mpc/h, the user + * should pass at least about P_k_max_h/Mpc = 1. + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param R Input: radius in Mpc + * @param z Input: redshift + * @param index_pk Input: type of pk (_m, _cb) + * @param k_per_decade Input: logarithmic step for the integral (recommended: pass ppr->sigma_k_per_decade) + * @param result Output: result + * @return the error status + */ + +int fourier_sigma_at_z( + struct background * pba, + struct fourier * pfo, + double R, + double z, + int index_pk, + double k_per_decade, + double * result + ) { + + double * out_pk; + double * ddout_pk; + + /** - allocate temporary array for P(k,z) as a function of k */ + + class_alloc(out_pk, pfo->k_size*sizeof(double), pfo->error_message); + class_alloc(ddout_pk, pfo->k_size*sizeof(double), pfo->error_message); + + /** - get P(k,z) as a function of k, for the right z */ + + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_linear, + z, + index_pk, + out_pk, + NULL), + pfo->error_message, + pfo->error_message); + + /** - spline it along k */ + + class_call(array_spline_table_columns(pfo->ln_k, + pfo->k_size, + out_pk, + 1, + ddout_pk, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /** - calll the function computing the sigmas */ + + class_call(fourier_sigmas(pfo, + R, + out_pk, + ddout_pk, + pfo->k_size, + k_per_decade, + out_sigma, + result), + pfo->error_message, + pfo->error_message); + + /** - free allocated arrays */ + + free(out_pk); + free(ddout_pk); + + return _SUCCESS_; +} + +/** + * Calculation of the nonlinear matter power spectrum with Halofit + * (includes Takahashi 2012 + Bird 2013 revisions). + * + * At high redshift it is possible that the non-linear corrections are + * so small that they can be computed only by going to very large + * wavenumbers. Thius, for some combination of (z, k_max), the + * calculation is not possible. In this case a _FALSE_ will be + * returned in the flag halofit_found_k_max. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param index_pk Input: index of component are we looking at (total matter or cdm+baryons?) + * @param tau Input: conformal time at which we want to do the calculation + * @param pk_nl Output: non linear spectrum at the relevant time + * @param lnpk_l Input: array of log(P(k)_linear) + * @param ddlnpk_l Input: array of second derivative of log(P(k)_linear) wrt k, for spline interpolation + * @param k_nl Output: non-linear wavenumber + * @param nl_corr_not_computable_at_this_k Ouput: flag concerning the status of the calculation (_TRUE_ if not possible) + * @return the error status + */ + +int fourier_halofit( + struct precision *ppr, + struct background *pba, + struct perturbations *ppt, + struct primordial *ppm, + struct fourier *pfo, + int index_pk, + double tau, + double *pk_nl, + double *lnpk_l, + double *ddlnpk_l, + double *k_nl, + short * nl_corr_not_computable_at_this_k + ) { + + double Omega_m,Omega_v,fnu,w, dw_over_da_fld, integral_fld; + + /** Determine non linear ratios (from pk) **/ + + int index_k; + double pk_lin,pk_quasi,pk_halo,rk; + double sigma,rknl,rneff,rncur,d1,d2; + double diff,xlogr1,xlogr2,rmid; + + double gam,a,b,c,xmu,xnu,alpha,beta,f1,f2,f3; + double pk_linaa; + double y; + double f1a,f2a,f3a,f1b,f2b,f3b,frac; + + double * pvecback; + + int last_index=0; + int counter; + double sum1,sum2,sum3; + double anorm; + + double *integrand_array; + int integrand_size; + int index_ia_k; + int index_ia_pk; + int index_ia_sum; + int index_ia_ddsum; + /* + int index_ia_sum2; + int index_ia_ddsum2; + int index_ia_sum3; + int index_ia_ddsum3; + */ + int ia_size; + int index_ia; + + double k_integrand; + double lnpk_integrand; + + double R; + + double * w_and_Omega; + + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + + if ((pfo->has_pk_m == _TRUE_) && (index_pk == pfo->index_pk_m)) { + fnu = pba->Omega0_ncdm_tot/pba->Omega0_m; + } + else if ((pfo->has_pk_cb == _TRUE_) && (index_pk == pfo->index_pk_cb)) { + fnu = 0.; + } + else { + class_stop(pfo->error_message,"P(k) is set neither to total matter nor to cold dark matter + baryons"); + } + + if (pfo->has_pk_eq == _FALSE_) { + + /* default method: compute w(tau) = w_fld(tau), Omega_m(tau) and Omega_v=Omega_DE(tau), all required by HALOFIT fitting formulas */ + + class_call(background_at_tau(pba,tau,long_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + + Omega_m = pvecback[pba->index_bg_Omega_m]; + Omega_v = 1.-pvecback[pba->index_bg_Omega_m]-pvecback[pba->index_bg_Omega_r]; + /* until v2.9.3 this function was called at a_0=1 instead of a=pvecback[pba->index_bg_a] */ + class_call(background_w_fld(pba,pvecback[pba->index_bg_a],&w,&dw_over_da_fld,&integral_fld), pba->error_message, pfo->error_message); + + } + else { + + /* alternative method called Pk_equal, described in 0810.0190 and + 1601.07230, extending the range of validity of + HALOFIT from constant w to (w0,wa) models. In that + case, some effective values of w(tau_i) and + Omega_m(tau_i) have been pre-computed in the + input module, and we just ned to interpolate + within tabulated arrays, to get them at the + current tau value. */ + + class_alloc(w_and_Omega,pfo->pk_eq_size*sizeof(double),pfo->error_message); + + class_call(array_interpolate_spline( + pfo->pk_eq_tau, + pfo->pk_eq_tau_size, + pfo->pk_eq_w_and_Omega, + pfo->pk_eq_ddw_and_ddOmega, + pfo->pk_eq_size, + tau, + &last_index, + w_and_Omega, + pfo->pk_eq_size, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + w = w_and_Omega[pfo->index_pk_eq_w]; + Omega_m = w_and_Omega[pfo->index_pk_eq_Omega_m]; + Omega_v = 1.-Omega_m; + + free(w_and_Omega); + } + + anorm = 1./(2*pow(_PI_,2)); + + /* Until the 17.02.2015 the values of k used for integrating sigma(R) quantities needed by Halofit where the same as in the perturbation module. + Since then, we sample these integrals on more values, in order to get more precise integrals (thanks Matteo Zennaro for noticing the need for this). + + We create a temporary integrand_array which columns will be: + - k in 1/Mpc + - just linear P(k) in Mpc**3 + - 1/(2(pi**2)) P(k) k**2 exp(-(kR)**2) or 1/(2(pi**2)) P(k) k**2 2 (kR) exp(-(kR)**2) or 1/(2(pi**2)) P(k) k**2 4 (kR)(1-kR) exp(-(kR)**2) + - second derivative of previous line with spline + */ + + index_ia=0; + class_define_index(index_ia_k, _TRUE_,index_ia,1); + class_define_index(index_ia_pk, _TRUE_,index_ia,1); + class_define_index(index_ia_sum, _TRUE_,index_ia,1); + class_define_index(index_ia_ddsum, _TRUE_,index_ia,1); + ia_size = index_ia; + + integrand_size=(int)(log(pfo->k[pfo->k_size-1]/pfo->k[0])/log(10.)*ppr->halofit_k_per_decade)+1; + + class_alloc(integrand_array,integrand_size*ia_size*sizeof(double),pfo->error_message); + + + /* we fill integrand_array with values of k and P(k) using interpolation */ + + last_index=0; + + for (index_k=0; index_k < integrand_size; index_k++) { + + k_integrand=pfo->k[0]*pow(10.,index_k/ppr->halofit_k_per_decade); + + if (index_k ==0 ) { + lnpk_integrand = lnpk_l[0]; + } + else { + + class_call(array_interpolate_spline( + pfo->ln_k, + pfo->k_size, + lnpk_l, + ddlnpk_l, + 1, + log(k_integrand), + &last_index, + &lnpk_integrand, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + integrand_array[index_k*ia_size + index_ia_k] = k_integrand; + integrand_array[index_k*ia_size + index_ia_pk] = exp(lnpk_integrand); + + } + + class_call(background_at_tau(pba,tau,long_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + + Omega_m = pvecback[pba->index_bg_Omega_m]; + Omega_v = 1.-pvecback[pba->index_bg_Omega_m]-pvecback[pba->index_bg_Omega_r]; + + // for debugging: + //printf("Call Halofit at z=%e\n",1./pvecback[pba->index_bg_a]-1.); + + /* minimum value of R such that the integral giving sigma_R is + converged. The parameter halofit_sigma_precision should be + understood as follows: we trust our calculation of sigma(R) as + long as the integral reaches a value k_max such that the factor + exp(-(Rk_max)**2) is already as low as halofit_sigma_precisio, + shoing that the integreal is converged. In practise this + condition is tested only for R_max, the highest value of R in our + bisection algorithm. Hence a smaller value of + halofit_sigma_precision will lead to a more precise halofit + result at the *highest* redshift at which halofit can make + computations, at the expense of requiring a larger k_max; but + this parameter is not relevant for the precision on P_nl(k,z) at + other redshifts, so there is normally no need to change i + */ + + R=sqrt(-log(ppr->halofit_sigma_precision))/integrand_array[(integrand_size-1)*ia_size + index_ia_k]; + + class_call(fourier_halofit_integrate( + pfo, + integrand_array, + integrand_size, + ia_size, + index_ia_k, + index_ia_pk, + index_ia_sum, + index_ia_ddsum, + R, + halofit_integral_one, + &sum1 + ), + pfo->error_message, + pfo->error_message); + + sigma = sqrt(sum1); + + /* the following error should not stop the code: it will arrive + inevitably at some large redshift, and then the code should not + stop, but just give up computing P_NL(k,z). This is why we have a + special error handling here (using class_test_except and free() + commands to avoid memory leaks, and calling this whole function + not through a class_call) */ + + /* + class_test_except(sigma < 1., + pfo->error_message, + free(pvecback);free(integrand_array), + "Your k_max=%g 1/Mpc is too small for Halofit to find the non-linearity scale z_nl at z=%g. Increase input parameter P_k_max_h/Mpc or P_k_max_1/Mpc", + pfo->k[pfo->k_size-1], + 1./pvecback[pba->index_bg_a]-1.); + */ + + if (sigma < 1.) { + * nl_corr_not_computable_at_this_k = _TRUE_; + free(pvecback); + free(integrand_array); + return _SUCCESS_; + } + else { + * nl_corr_not_computable_at_this_k = _FALSE_; + } + + xlogr1 = log(R)/log(10.); + + /* maximum value of R in the bisection algorithm leading to the + determination of R_nl. For this value we can make a + conservaitive guess: 1/halofit_min_k_nonlinear, where + halofit_min_k_nonlinear is the minimum value of k at which we ask + halofit to give us an estimate of P_nl(k,z). By assumption we + treat all smaller k's as linear, so we know that + sigma(1/halofit_min_k_nonlinear) must be <<1 (and if it is not + the test below will alert us) */ + + R=1./ppr->halofit_min_k_nonlinear; + + /* corresponding value of sigma_R */ + class_call(fourier_halofit_integrate( + pfo, + integrand_array, + integrand_size, + ia_size, + index_ia_k, + index_ia_pk, + index_ia_sum, + index_ia_ddsum, + R, + halofit_integral_one, + &sum1 + ), + pfo->error_message, + pfo->error_message); + + sigma = sqrt(sum1); + + class_test(sigma > 1., + pfo->error_message, + "Your input value for the precision parameter halofit_min_k_nonlinear=%e is too large, such that sigma(R=1/halofit_min_k_nonlinear)=% > 1. For self-consistency, it should have been <1. Decrease halofit_min_k_nonlinear", + ppr->halofit_min_k_nonlinear,sigma); + + xlogr2 = log(R)/log(10.); + + counter = 0; + do { + rmid = pow(10,(xlogr2+xlogr1)/2.0); + counter ++; + + class_call(fourier_halofit_integrate( + pfo, + integrand_array, + integrand_size, + ia_size, + index_ia_k, + index_ia_pk, + index_ia_sum, + index_ia_ddsum, + rmid, + halofit_integral_one, + &sum1 + ), + pfo->error_message, + pfo->error_message); + + sigma = sqrt(sum1); + + diff = sigma - 1.0; + + if (diff > ppr->halofit_tol_sigma){ + xlogr1=log10(rmid); + } + else if (diff < -ppr->halofit_tol_sigma) { + xlogr2 = log10(rmid); + } + + /* The first version of this test woukld let the code continue: */ + /* + class_test_except(counter > _MAX_IT_, + pfo->error_message, + free(pvecback);free(integrand_array), + "could not converge within maximum allowed number of iterations"); + */ + /* ... but in this situation it sounds better to make it stop and return an error! */ + class_test(counter > _MAX_IT_, + pfo->error_message, + "could not converge within maximum allowed number of iterations"); + + } while (fabs(diff) > ppr->halofit_tol_sigma); + + /* evaluate all the other integrals at R=rmid */ + + class_call(fourier_halofit_integrate( + pfo, + integrand_array, + integrand_size, + ia_size, + index_ia_k, + index_ia_pk, + index_ia_sum, + index_ia_ddsum, + rmid, + halofit_integral_two, + &sum2 + ), + pfo->error_message, + pfo->error_message); + + class_call(fourier_halofit_integrate( + pfo, + integrand_array, + integrand_size, + ia_size, + index_ia_k, + index_ia_pk, + index_ia_sum, + index_ia_ddsum, + rmid, + halofit_integral_three, + &sum3 + ), + pfo->error_message, + pfo->error_message); + + sigma = sqrt(sum1); + d1 = -sum2/sum1; + d2 = -sum2*sum2/sum1/sum1 - sum3/sum1; + + rknl = 1./rmid; + rneff = -3.-d1; + rncur = -d2; + + *k_nl = rknl; + + for (index_k = 0; index_k < pfo->k_size; index_k++){ + + rk = pfo->k[index_k]; + + if (rk > ppr->halofit_min_k_nonlinear) { + + pk_lin = exp(lnpk_l[index_k])*pow(pfo->k[index_k],3)*anorm; + + /* in original halofit, this is the beginning of the function halofit() */ + + /*SPB11: Standard halofit underestimates the power on the smallest + * scales by a factor of two. Add an extra correction from the + * simulations in Bird, Viel,Haehnelt 2011 which partially accounts for + * this.*/ + /*SPB14: This version of halofit is an updated version of the fit to the massive neutrinos + * based on the results of Takahashi 2012, (arXiv:1208.2701). + */ + gam=0.1971-0.0843*rneff+0.8460*rncur; + a=1.5222+2.8553*rneff+2.3706*rneff*rneff+0.9903*rneff*rneff*rneff+ 0.2250*rneff*rneff*rneff*rneff-0.6038*rncur+0.1749*Omega_v*(1.+w); + a=pow(10,a); + b=pow(10, (-0.5642+0.5864*rneff+0.5716*rneff*rneff-1.5474*rncur+0.2279*Omega_v*(1.+w))); + c=pow(10, 0.3698+2.0404*rneff+0.8161*rneff*rneff+0.5869*rncur); + xmu=0.; + xnu=pow(10,5.2105+3.6902*rneff); + alpha=fabs(6.0835+1.3373*rneff-0.1959*rneff*rneff-5.5274*rncur); + beta=2.0379-0.7354*rneff+0.3157*pow(rneff,2)+1.2490*pow(rneff,3)+0.3980*pow(rneff,4)-0.1682*rncur + fnu*(1.081 + 0.395*pow(rneff,2)); + + if (fabs(1-Omega_m)>0.01) { /*then omega evolution */ + f1a=pow(Omega_m,(-0.0732)); + f2a=pow(Omega_m,(-0.1423)); + f3a=pow(Omega_m,(0.0725)); + f1b=pow(Omega_m,(-0.0307)); + f2b=pow(Omega_m,(-0.0585)); + f3b=pow(Omega_m,(0.0743)); + frac=Omega_v/(1.-Omega_m); + f1=frac*f1b + (1-frac)*f1a; + f2=frac*f2b + (1-frac)*f2a; + f3=frac*f3b + (1-frac)*f3a; + } + else { + f1=1.; + f2=1.; + f3=1.; + } + + y=(rk/rknl); + pk_halo = a*pow(y,f1*3.)/(1.+b*pow(y,f2)+pow(f3*c*y,3.-gam)); + pk_halo=pk_halo/(1+xmu*pow(y,-1)+xnu*pow(y,-2))*(1+fnu*0.977); + + /* until v2.9.3 pk_halo did contain an additional correction + coming from Simeon Bird: the last factor was + (1+fnu*(0.977-18.015*(pba->Omega0_m-0.3))). It seems that Bird + gave it up later in his CAMB implementation and thus we also + removed it. */ + // rk is in 1/Mpc, 47.48and 1.5 in Mpc**-2, so we need an h**2 here (Credits Antonio J. Cuesta) + pk_linaa=pk_lin*(1+fnu*47.48*pow(rk/pba->h,2)/(1+1.5*pow(rk/pba->h,2))); + pk_quasi=pk_lin*pow((1+pk_linaa),beta)/(1+pk_linaa*alpha)*exp(-y/4.0-pow(y,2)/8.0); + + pk_nl[index_k] = (pk_halo+pk_quasi)/pow(pfo->k[index_k],3)/anorm; + + /* in original halofit, this is the end of the function halofit() */ + } + else { + pk_nl[index_k] = exp(lnpk_l[index_k]); + } + } + + free(pvecback); + free(integrand_array); + return _SUCCESS_; +} + +/** + * Internal routione of Halofit. In original Halofit, this is + * equivalent to the function wint(). It performs convolutions of the + * linear spectrum with two window functions. + * + * @param pfo Input: pointer to non linear structure + * @param integrand_array Input: array with k, P_L(k) values + * @param integrand_size Input: one dimension of that array + * @param ia_size Input: other dimension of that array + * @param index_ia_k Input: index for k + * @param index_ia_pk Input: index for pk + * @param index_ia_sum Input: index for the result + * @param index_ia_ddsum Input: index for its spline + * @param R Input: radius + * @param type Input: which window function to use + * @param sum Output: result of the integral + * @return the error status + */ + +int fourier_halofit_integrate( + struct fourier *pfo, + double * integrand_array, + int integrand_size, + int ia_size, + int index_ia_k, + int index_ia_pk, + int index_ia_sum, + int index_ia_ddsum, + double R, + enum halofit_integral_type type, + double * sum + ) { + + double k,pk,x2,integrand; + int index_k; + double anorm = 1./(2*pow(_PI_,2)); + + for (index_k=0; index_k < integrand_size; index_k++) { + k = integrand_array[index_k*ia_size + index_ia_k]; + pk = integrand_array[index_k*ia_size + index_ia_pk]; + x2 = k*k*R*R; + + integrand = pk*k*k*anorm*exp(-x2); + if (type == halofit_integral_two) integrand *= 2.*x2; + if (type == halofit_integral_three) integrand *= 4.*x2*(1.-x2); + + integrand_array[index_k*ia_size + index_ia_sum] = integrand; + } + + /* fill in second derivatives */ + class_call(array_spline(integrand_array, + ia_size, + integrand_size, + index_ia_k, + index_ia_sum, + index_ia_ddsum, + _SPLINE_NATURAL_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + /* integrate */ + class_call(array_integrate_all_spline(integrand_array, + ia_size, + integrand_size, + index_ia_k, + index_ia_sum, + index_ia_ddsum, + sum, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + return _SUCCESS_; +} + +/** + * Computes the nonlinear correction on the linear power spectrum via + * the method presented in Mead et al. 1505.07833 + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param index_pk Input: index of the pk type, either index_m or index_cb + * @param index_tau Input: index of tau, at which to compute the nl correction + * @param tau Input: tau, at which to compute the nl correction + * @param pk_nl Output:nonlinear power spectrum + * @param lnpk_l Input: logarithm of the linear power spectrum for both index_m and index_cb + * @param ddlnpk_l Input: spline of the logarithm of the linear power spectrum for both index_m and index_cb + * @param nl_corr_not_computable_at_this_k Ouput: was the computation doable? + * @param k_nl Output: nonlinear scale for index_m and index_cb + * @param pnw Input/Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode( + struct precision *ppr, + struct background *pba, + struct perturbations *ppt, + struct primordial *ppm, + struct fourier *pfo, + int index_pk, + int index_tau, + double tau, + double *pk_nl, + double **lnpk_l, + double **ddlnpk_l, + double *k_nl, + short * nl_corr_not_computable_at_this_k, + struct fourier_workspace * pnw + ) { + + /* integers */ + int index_mass, i, ng, nsig; + int index_k, index_ncol; + int last_index=0; + int index_pk_cb; + int counter, index_nl; + + int index_nu, index_cut; + int index_y; + int index_ddy; + + /* Background parameters */ + double Omega_m,fnu,Omega0_m; + double z_at_tau; + double rho_crit_today_in_msun_mpc3; + double growth; + double anorm; + + /* temporary numbers */ + double m, r, nu, sig, sigf; + double diff, r1, r2; + + /* HMcode parameters */ + double mmin, mmax, nu_min; + + double sigma_disp, sigma_disp100, sigma8; + double delta_c, Delta_v, Delta_v_0; + double fraction; + + double sigma_nl, nu_nl, r_nl; + double sigma_prime; + double dlnsigdlnR; + double n_eff; + double alpha; + + double z_form, g_form; + + double eta; + double gst, window_nfw; + double nu_cut; + double fac, k_star, fdamp; + double pk_lin, pk_2h, pk_1h; + + /* data fields */ + double * pvecback; + double * conc; + double * mass; + double * sigma_r; + double * sigmaf_r; + double * r_virial; + double * r_real; + double * nu_arr; + + double * p1h_integrand; + + + /** include precision parameters that control the number of entries in the growth and sigma tables */ + ng = ppr->n_hmcode_tables; + nsig = ppr->n_hmcode_tables; + + /** Compute background quantitites today */ + + Omega0_m = pba->Omega0_m; + fnu = pba->Omega0_ncdm_tot/Omega0_m; + + /** If index_pk_cb, choose Omega0_cb as the matter density parameter. + * If index_pk_m, choose Omega0_cbn as the matter density parameter. */ + if (index_pk==pfo->index_pk_cb){ + Omega0_m = Omega0_m - pba->Omega0_ncdm_tot; + } + + anorm = 1./(2*pow(_PI_,2)); + + /** Call all the relevant background parameters at this tau */ + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + + class_call(background_at_tau(pba,tau,long_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + + Omega_m = pvecback[pba->index_bg_Omega_m];//TBC (i.e. check if for P_cb here we should use Omega_cb) here the total time varying Omega_m is used for delta_c and for Delta_v according to the Mead fit of the Massara simulations. + + growth = pvecback[pba->index_bg_D]; + + z_at_tau = 1./pvecback[pba->index_bg_a]-1.; + + /* The number below is the critical density today, rho_c = 3 * H0^2 / 8*pi*G, in units of M_sun over Mpc^3 */ + rho_crit_today_in_msun_mpc3 = 3.*pow(1.e5*pba->h, 2)/8./_PI_/_G_*_Mpc_over_m_/_M_SUN_; + + free(pvecback); + + /** Test whether pk_cb has to be taken into account (only if we have massive neutrinos)*/ + if (pba->has_ncdm==_TRUE_){ + index_pk_cb = pfo->index_pk_cb; + } + else { + index_pk_cb = index_pk; + } + + + /** Get sigma(R=8 Mpc/h), sigma_disp(R=0), sigma_disp(R=100 Mpc/h) and write them into pfo structure */ + + class_call(fourier_sigmas(pfo, + 8./pba->h, + lnpk_l[index_pk],ddlnpk_l[index_pk], + pfo->k_size_extra, + ppr->sigma_k_per_decade, + out_sigma, + &sigma8), + pfo->error_message, + pfo->error_message); + + class_call(fourier_sigmas(pfo, + 0., + lnpk_l[index_pk],ddlnpk_l[index_pk], + pfo->k_size_extra, + ppr->sigma_k_per_decade, + out_sigma_disp, + &sigma_disp), + pfo->error_message, + pfo->error_message); + + class_call(fourier_sigmas(pfo, + 100./pba->h, + lnpk_l[index_pk],ddlnpk_l[index_pk], + pfo->k_size_extra, + ppr->sigma_k_per_decade, + out_sigma_disp, + &sigma_disp100), + pfo->error_message, + pfo->error_message); + + pnw->sigma_8[index_pk][index_tau] = sigma8; + pnw->sigma_disp[index_pk][index_tau] = sigma_disp; + pnw->sigma_disp_100[index_pk][index_tau] = sigma_disp100; + + /** Initialisation steps for the 1-Halo Power Integral */ + mmin=ppr->mmin_for_p1h_integral/pba->h; //Minimum mass for integration; (unit conversion from m[Msun/h] to m[Msun] ) + mmax=ppr->mmax_for_p1h_integral/pba->h; //Maximum mass for integration; + + class_alloc(mass,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + class_alloc(r_real,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + class_alloc(r_virial,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + class_alloc(sigma_r,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + class_alloc(sigmaf_r,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + class_alloc(nu_arr,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + + // Linear theory density perturbation threshold for spherical collapse + delta_c = 1.59+0.0314*log(sigma8); //Mead et al. (2015; arXiv 1505.07833) + delta_c = delta_c*(1.+0.0123*log10(Omega_m)); //Nakamura & Suto (1997) fitting formula for LCDM models (as in Mead 2016) + delta_c = delta_c*(1.+0.262*fnu); //Mead et al. (2016; arXiv 1602.02154) neutrino addition + + Delta_v_0 = 418.; + + // Correct the LCDM virialized overdensity + if (pba->has_smg) { + class_call( + fourier_hmcode_Delta_v_0_smg( + pba, + z_at_tau, + & Delta_v_0 + ), + pfo->error_message, pfo->error_message); + }; + + // virialized overdensity + Delta_v=Delta_v_0*pow(Omega_m, -0.352); //Mead et al. (2015; arXiv 1505.07833) + Delta_v=Delta_v*(1.+0.916*fnu); //Mead et al. (2016; arXiv 1602.02154) neutrino addition + + // mass or radius fraction respectively + fraction = pow(0.01, 1./3.); + + /* Fill the arrays needed for the P1H Integral: mass, r_real, r_virial, nu_arr, sigma_r, sigmaf_r + * The P1H Integral is an integral over nu=delta_c/sigma(M), where M is connected to R via R=(3M)/(4*pi*rho_m). + * The Integrand is M*Window^2{nu(M)*k, Rv(M), c(M)}*f(nu) with the window being the fouriertransformed + * NFW profile, Rv = R/Delta_v^(1/3) and Sheth-Thormen halo mass function f. + * The halo concentration-mass-relation c(M) will be found later. */ + + for (index_mass=0;index_massnsteps_for_p1h_integral;index_mass++){ + + m = exp(log(mmin)+log(mmax/mmin)*(index_mass)/(ppr->nsteps_for_p1h_integral-1)); + r = pow((3.*m/(4.*_PI_*rho_crit_today_in_msun_mpc3*Omega0_m)), (1./3.)); + mass[index_mass] = m; + r_real[index_mass] = r; + r_virial[index_mass] = r_real[index_mass]/pow(Delta_v, 1./3.); + + class_call(array_interpolate_spline(pnw->rtab, + nsig, + pnw->stab, + pnw->ddstab, + 1, + r, + &last_index, + &sig, + 1, + pfo->error_message), + pfo->error_message, pfo->error_message); + + class_call(array_interpolate_spline(pnw->rtab, + nsig, + pnw->stab, + pnw->ddstab, + 1, + r*fraction, + &last_index, + &sigf, + 1, + pfo->error_message), + pfo->error_message, pfo->error_message); + + nu=delta_c/sig; + sigma_r[index_mass] = sig; + sigmaf_r[index_mass] = sigf; + nu_arr[index_mass] = nu; + } + + /** find nonlinear scales k_nl and r_nl and the effective spectral index n_eff */ + nu_nl = 1.; + nu_min = nu_arr[0]; + + /* stop calculating the nonlinear correction if the nonlinear scale is not reached in the table: */ + if (nu_min > nu_nl) { + if (pfo->fourier_verbose>0) fprintf(stdout, " -> [WARNING:] the minimum mass in the mass-table is too large to find the nonlinear scale at this redshift.\n Decrease mmin_for_p1h_integral\n"); + * nl_corr_not_computable_at_this_k = _TRUE_; + free(mass); + free(r_real); + free(r_virial); + free(sigma_r); + free(sigmaf_r); + free(nu_arr); + return _SUCCESS_; + } + + /* make a first guess for the nonlinear scale */ + class_call_except(array_interpolate_two_arrays_one_column( + nu_arr, + r_real, + 1, + 0, + ppr->nsteps_for_p1h_integral, + nu_nl, + &r_nl, + pfo->error_message), + pfo->error_message, pfo->error_message, + free(mass); free(r_real); free(r_virial); free(sigma_r); free(sigmaf_r); free(nu_arr);); + + class_call(array_search_bisect(ppr->nsteps_for_p1h_integral,nu_arr,nu_nl,&index_nl,pfo->error_message), pfo->error_message, pfo->error_message); + + r1 = r_real[index_nl-1]; + r2 = r_real[index_nl+2]; + + /* // for debugging: (if it happens that r_nl is not between r1 and r2, which should never be the case) + fprintf(stdout, "%e %e %e %e\n", r1, nu_arr[index_nl-1], r2, nu_arr[index_nl+2]); + */ + + /* do bisectional iteration between r1 and r2 to find the precise value of r_nl */ + counter = 0; + do { + r_nl = (r1+r2)/2.; + counter ++; + + class_call(fourier_sigmas(pfo, + r_nl, + lnpk_l[index_pk_cb],ddlnpk_l[index_pk_cb], + pfo->k_size_extra, + ppr->sigma_k_per_decade, + out_sigma, + &sigma_nl), + pfo->error_message, pfo->error_message); + + diff = sigma_nl - delta_c; + + if (diff > ppr->hmcode_tol_sigma){ + r1=r_nl; + } + else if (diff < -ppr->hmcode_tol_sigma) { + r2 = r_nl; + } + + class_test(counter > _MAX_IT_, + pfo->error_message, + "could not converge within maximum allowed number of iterations"); + + } while (fabs(diff) > ppr->hmcode_tol_sigma); + + if (pfo->fourier_verbose>5){ + fprintf(stdout, "number of iterations for r_nl at z = %e: %d\n", z_at_tau, counter); + } + *k_nl = 1./r_nl; + + if (*k_nl > pfo->k[pfo->k_size-1]) { + * nl_corr_not_computable_at_this_k = _TRUE_; + free(mass); + free(r_real); + free(r_virial); + free(sigma_r); + free(sigmaf_r); + free(nu_arr); + return _SUCCESS_; + } + else { + * nl_corr_not_computable_at_this_k = _FALSE_; + } + + /* call sigma_prime function at r_nl to find the effective spectral index n_eff */ + + class_call(fourier_sigmas(pfo, + r_nl, + lnpk_l[index_pk_cb],ddlnpk_l[index_pk_cb], + pfo->k_size_extra, + ppr->sigma_k_per_decade, + out_sigma_prime, + &sigma_prime), + pfo->error_message, + pfo->error_message); + + dlnsigdlnR = r_nl*pow(sigma_nl, -2)*sigma_prime; + n_eff = -3.- dlnsigdlnR; + alpha = 3.24*pow(1.85, n_eff); + + pnw->sigma_prime[index_pk][index_tau] = sigma_prime; + + /** Calculate halo concentration-mass relation conc(mass) (Bullock et al. 2001) */ + class_alloc(conc,ppr->nsteps_for_p1h_integral*sizeof(double),pfo->error_message); + + for (index_mass=0;index_massnsteps_for_p1h_integral;index_mass++){ + //find growth rate at formation + g_form = delta_c*growth/sigmaf_r[index_mass]; + if (g_form > 1.) g_form = 1.; + /** Here we correct the formation growth for extreme models where it is + g_form is very little and outside the precumputed table. */ + if ((pba->has_smg == _TRUE_) && (g_form < pnw->growtable[0])) + g_form = pnw->growtable[0]; + + // + class_call(array_interpolate_two_arrays_one_column( + pnw->growtable, + pnw->ztable, + 1, + 0, + ng, + g_form, + &z_form, + pfo->error_message), + pfo->error_message, pfo->error_message); + if (z_form < z_at_tau){ + conc[index_mass] = pfo->c_min; + } else { + conc[index_mass] = pfo->c_min*(1.+z_form)/(1.+z_at_tau)*pnw->dark_energy_correction; + } + } + + + /** Compute the nonlinear correction */ + eta = pfo->eta_0 - 0.3*sigma8; // halo bloating parameter + k_star=0.584/sigma_disp; // Damping wavenumber of the 1-halo term at very large scales; + fdamp = 0.0095*pow(sigma_disp100*pba->h, 1.37); // Damping factor for 2-halo term + if (fdamp<1.e-3) fdamp=1.e-3; + if (fdamp>0.99) fdamp=0.99; + + /* the 1h integral contains the halo mass function proportional to exp(-nu^2). + * To save time, the integration loop cuts, when nu exceeds a large value, + * where the integrand is 0 anyhow. This cut index is found here. */ + nu_cut = 10.; + if (nu_cut < nu_arr[ppr->nsteps_for_p1h_integral-1]){ + class_call(array_search_bisect(ppr->nsteps_for_p1h_integral,nu_arr,nu_cut,&index_cut,pfo->error_message), pfo->error_message, pfo->error_message); + } + else { + index_cut = ppr->nsteps_for_p1h_integral; + } + + i=0; + index_nu=i; + i++; + index_y=i; + i++; + index_ddy=i; + i++; + index_ncol=i; + + for (index_k = 0; index_k < pfo->k_size; index_k++){ + + class_alloc(p1h_integrand,index_cut*index_ncol*sizeof(double),pfo->error_message); + + pk_lin = exp(lnpk_l[index_pk][index_k])*pow(pfo->k[index_k],3)*anorm; //convert P_k to Delta_k^2 + + for (index_mass=0; index_massk[index_k], + r_virial[index_mass], + conc[index_mass], + &window_nfw), + pfo->error_message, pfo->error_message); + //get the value of the halo mass function + class_call(fourier_hmcode_halomassfunction( + nu_arr[index_mass], + &gst), + pfo->error_message, pfo->error_message); + + p1h_integrand[index_mass*index_ncol+index_nu] = nu_arr[index_mass]; + + p1h_integrand[index_mass*index_ncol+index_y] = mass[index_mass]*gst*pow(window_nfw, 2.); + //if ((tau==pba->conformal_age) && (index_k == 0)) { + //fprintf(stdout, "%d %e %e\n", index_cut, p1h_integrand[index_mass*index_ncol+index_nu], p1h_integrand[index_mass*index_ncol+index_y]); + //} + } + class_call(array_spline(p1h_integrand, + index_ncol, + index_cut, + index_nu, + index_y, + index_ddy, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + class_call(array_integrate_all_trapzd_or_spline( + p1h_integrand, + index_ncol, + index_cut, + index_cut-1, //0 or n-1 + index_nu, + index_y, + index_ddy, + &pk_1h, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + + if (pow(pfo->k[index_k]/k_star, 2)>7.){ + fac = 0.; //prevents problems if (k/k*)^2 is large + } + else{ + fac=exp(-pow((pfo->k[index_k]/k_star), 2.)); + } + + pk_1h = pk_1h*anorm*pow(pfo->k[index_k],3)*(1.-fac)/(rho_crit_today_in_msun_mpc3*Omega0_m); // dimensionless power + + if (fdamp==0){ + pk_2h=pk_lin; + }else{ + pk_2h=pk_lin*(1.-fdamp*pow(tanh(pfo->k[index_k]*sigma_disp/sqrt(fdamp)), 2.)); //dimensionless power + } + if (pk_2h<0.) pk_2h=0.; + pk_nl[index_k] = pow((pow(pk_1h, alpha) + pow(pk_2h, alpha)), (1./alpha))/pow(pfo->k[index_k],3)/anorm; //converted back to P_k + + free(p1h_integrand); + } + + // print parameter values + if ((pfo->fourier_verbose > 1 && tau==pba->conformal_age) || pfo->fourier_verbose > 3){ + fprintf(stdout, " -> Parameters at redshift z = %e:\n", z_at_tau); + fprintf(stdout, " fnu: %e\n", fnu); + fprintf(stdout, " sigd [Mpc/h]: %e\n", sigma_disp*pba->h); + fprintf(stdout, " sigd100 [Mpc/h]: %e\n", sigma_disp100*pba->h); + fprintf(stdout, " sigma8: %e\n", sigma8); + fprintf(stdout, " nu min: %e\n", nu_arr[0]); + fprintf(stdout, " nu max: %e\n", nu_arr[ppr->nsteps_for_p1h_integral-1]); + fprintf(stdout, " r_v min [Mpc/h]: %e\n", r_virial[0]*pba->h); + fprintf(stdout, " r_v max [Mpc/h]: %e\n", r_virial[ppr->nsteps_for_p1h_integral-1]*pba->h); + fprintf(stdout, " r_nl [Mpc/h]: %e\n", r_nl*pba->h); + fprintf(stdout, " k_nl [h/Mpc]: %e\n", *k_nl/pba->h); + fprintf(stdout, " sigma_nl: %e\n", sigma_nl/delta_c); + fprintf(stdout, " neff: %e\n", n_eff); + fprintf(stdout, " c min: %e\n", conc[ppr->nsteps_for_p1h_integral-1]); + fprintf(stdout, " c max: %e\n", conc[0]); + fprintf(stdout, " Dv: %e\n", Delta_v); + fprintf(stdout, " dc: %e\n", delta_c); + fprintf(stdout, " eta: %e\n", eta); + fprintf(stdout, " k*: %e\n", k_star/pba->h); + fprintf(stdout, " Abary: %e\n", pfo->c_min); + fprintf(stdout, " fdamp: %e\n", fdamp); + fprintf(stdout, " alpha: %e\n", alpha); + fprintf(stdout, " ksize, kmin, kmax: %d, %e, %e\n", pfo->k_size, pfo->k[0]/pba->h, pfo->k[pfo->k_size-1]/pba->h); + + } + + free(conc); + free(mass); + free(r_real); + free(r_virial); + free(sigma_r); + free(sigmaf_r); + free(nu_arr); + + return _SUCCESS_; +} + +/** + * allocate and fill arrays of nonlinear workspace (currently used only by HMcode) + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_workspace_init( + struct precision *ppr, + struct background *pba, + struct fourier *pfo, + struct fourier_workspace * pnw + ){ + + int ng; + int index_pk; + + /** - allocate arrays of the nonlinear workspace */ + + class_alloc(pnw->rtab,ppr->n_hmcode_tables*sizeof(double),pfo->error_message); + class_alloc(pnw->stab,ppr->n_hmcode_tables*sizeof(double),pfo->error_message); + class_alloc(pnw->ddstab,ppr->n_hmcode_tables*sizeof(double),pfo->error_message); + + ng = ppr->n_hmcode_tables; + + class_alloc(pnw->growtable,ng*sizeof(double),pfo->error_message); + class_alloc(pnw->ztable,ng*sizeof(double),pfo->error_message); + class_alloc(pnw->tautable,ng*sizeof(double),pfo->error_message); + + class_alloc(pnw->sigma_8,pfo->pk_size*sizeof(double *),pfo->error_message); + class_alloc(pnw->sigma_disp,pfo->pk_size*sizeof(double *),pfo->error_message); + class_alloc(pnw->sigma_disp_100,pfo->pk_size*sizeof(double *),pfo->error_message); + class_alloc(pnw->sigma_prime,pfo->pk_size*sizeof(double *),pfo->error_message); + + for (index_pk=0; index_pkpk_size; index_pk++){ + class_alloc(pnw->sigma_8[index_pk],pfo->tau_size*sizeof(double),pfo->error_message); + class_alloc(pnw->sigma_disp[index_pk],pfo->tau_size*sizeof(double),pfo->error_message); + class_alloc(pnw->sigma_disp_100[index_pk],pfo->tau_size*sizeof(double),pfo->error_message); + class_alloc(pnw->sigma_prime[index_pk],pfo->tau_size*sizeof(double),pfo->error_message); + } + + /** - fill table with scale independent growth factor */ + + class_call(fourier_hmcode_fill_growtab(ppr,pba,pfo,pnw), + pfo->error_message, + pfo->error_message); + + return _SUCCESS_; +} + +/** + * deallocate arrays in the nonlinear worksapce (currently used only + * by HMcode) + * + * @param pfo Input: pointer to fourier structure + * @param pnw Input: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_workspace_free( + struct fourier *pfo, + struct fourier_workspace * pnw + ) { + int index_pk; + + free(pnw->rtab); + free(pnw->stab); + free(pnw->ddstab); + + free(pnw->growtable); + free(pnw->ztable); + free(pnw->tautable); + + for (index_pk=0; index_pkpk_size; index_pk++){ + free(pnw->sigma_8[index_pk]); + free(pnw->sigma_disp[index_pk]); + free(pnw->sigma_disp_100[index_pk]); + free(pnw->sigma_prime[index_pk]); + } + + free(pnw->sigma_8); + free(pnw->sigma_disp); + free(pnw->sigma_disp_100); + free(pnw->sigma_prime); + + return _SUCCESS_; +} + +/** + * set the HMcode dark energy correction (if w is not -1) + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_dark_energy_correction( + struct precision *ppr, + struct background *pba, + struct fourier *pfo, + struct fourier_workspace * pnw + ) { + + int last_index; + double * pvecback; + double tau_growth; + double g_lcdm,g_wcdm; + double w0,dw_over_da_fld,integral_fld; + + /** - if there is dynamical Dark Energy (w is not -1) modeled as a fluid */ + + if (pba->has_fld==_TRUE_){ + + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + + class_call(background_tau_of_z( + pba, + pfo->z_infinity, + &tau_growth + ), + pba->error_message, + pfo->error_message); + + class_call(background_at_tau(pba,tau_growth,long_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + + class_call(background_w_fld(pba,1.,&w0,&dw_over_da_fld,&integral_fld), + pba->error_message, + pfo->error_message); + + class_call(fourier_hmcode_growint(ppr,pba,pfo,1./(1.+pfo->z_infinity),-1.,0.,&g_lcdm), + pfo->error_message, pfo->error_message); + + class_call(fourier_hmcode_growint(ppr,pba,pfo,1./(1.+pfo->z_infinity),w0,dw_over_da_fld*(-1.),&g_wcdm), + pfo->error_message, + pfo->error_message); + + free(pvecback); + + pnw->dark_energy_correction = pow(g_wcdm/g_lcdm, 1.5); + } + + /** - otherwise, we assume no dynamical Dark Energy (w is -1) */ + + else { + pnw->dark_energy_correction = 1.; + } + + return _SUCCESS_; +} + +/** + * set the HMcode baryonic feedback parameters according to the chosen feedback model + * + * @param pfo Output: pointer to fourier structure + * @return the error status + */ + +int fourier_hmcode_baryonic_feedback( + struct fourier *pfo + ) { + + switch (pfo->feedback) { + + case nl_emu_dmonly: + { + pfo->eta_0 = 0.603; + pfo->c_min = 3.13; + break; + } + + case nl_owls_dmonly: + { + pfo->eta_0 = 0.64; + pfo->c_min = 3.43; + break; + } + + case nl_owls_ref: + { + pfo->eta_0 = 0.68; + pfo->c_min = 3.91; + break; + } + + case nl_owls_agn: + { + pfo->eta_0 = 0.76; + pfo->c_min = 2.32; + break; + } + + case nl_owls_dblim: + { + pfo->eta_0 = 0.70; + pfo->c_min = 3.01; + break; + } + + case nl_user_defined: + { + /* eta_0 and c_min already passed in input */ + break; + } + } + return _SUCCESS_; +} + +/** + * Function that fills pnw->rtab, pnw->stab and pnw->ddstab with (r, + * sigma, ddsigma) logarithmically spaced in r. Called by + * fourier_init at for all tau to account for scale-dependant growth + * before fourier_hmcode is called + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param index_tau Input: index of tau, at which to compute the nl correction + * @param lnpk_l Input: logarithm of the linear power spectrum for either index_m or index_cb + * @param ddlnpk_l Input: spline of the logarithm of the linear power spectrum for either index_m or index_cb + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_fill_sigtab( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct primordial * ppm, + struct fourier * pfo, + int index_tau, + double *lnpk_l, + double *ddlnpk_l, + struct fourier_workspace * pnw + ) { + + double r; + double rmin, rmax; + double sig; + double * sigtab; + int i, index_r, index_sig, index_ddsig, index_n, nsig; + + rmin = ppr->rmin_for_sigtab/pba->h; + rmax = ppr->rmax_for_sigtab/pba->h; + nsig = ppr->n_hmcode_tables; + + i=0; + index_r=i; + i++; + index_sig=i; + i++; + index_ddsig=i; + i++; + index_n=i; + + class_alloc((sigtab),(nsig*index_n*sizeof(double)),pfo->error_message); + + for (i=0;ik_size_extra, + ppr->sigma_k_per_decade, + out_sigma, + &sig), + pfo->error_message, + pfo->error_message); + + sigtab[i*index_n+index_r]=r; + sigtab[i*index_n+index_sig]=sig; + } + + class_call(array_spline(sigtab, + index_n, + nsig, + index_r, + index_sig, + index_ddsig, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + if (index_tau == pfo->tau_size-1){ + for (i=0;irtab[i] = sigtab[i*index_n+index_r]; + pnw->stab[i] = sigtab[i*index_n+index_sig]; + pnw->ddstab[i] = sigtab[i*index_n+index_ddsig]; + } + } + else{ + for (i=0;istab[i] = sigtab[i*index_n+index_sig]; + pnw->ddstab[i] = sigtab[i*index_n+index_ddsig]; + } + } + + free(sigtab); + + return _SUCCESS_; +} + + +/** + * Function that fills pnw->tautable and pnw->growtable with (tau, D(tau)) + * linearly spaced in scalefactor a. + * Called by fourier_init at before the loop over tau + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure (will provide the scale independent growth factor) + * @param pfo Input/Output: pointer to fourier structure + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_fill_growtab( + struct precision * ppr, + struct background * pba, + struct fourier * pfo, + struct fourier_workspace * pnw + ){ + + double z, ainit, amax, scalefactor, tau_growth; + int index_scalefactor, last_index, ng; + double * pvecback; + + ng = ppr->n_hmcode_tables; + ainit = ppr->ainit_for_growtab; + amax = ppr->amax_for_growtab; + + last_index = 0; + + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + + for (index_scalefactor=0;index_scalefactorztable[index_scalefactor] = z; + + class_call(background_tau_of_z( + pba, + z, + &tau_growth + ), + pba->error_message, pfo->error_message); + + pnw->tautable[index_scalefactor] = tau_growth; + + class_call(background_at_tau(pba,tau_growth,long_info,inter_normal,&last_index,pvecback), + pba->error_message, + pfo->error_message); + + pnw->growtable[index_scalefactor] = pvecback[pba->index_bg_D]; + + } + + free(pvecback); + + return _SUCCESS_; +} + +/** + * This function finds the scale independent growth factor by + * integrating the approximate relation d(lnD)/d(lna) = + * Omega_m(z)^gamma by Linder & Cahn 2007 + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param a Input: scalefactor + * @param w0 Input: dark energy equation of state today + * @param wa Input: dark energy equation of state varying with a: w=w0+(1-a)wa + * @param growth Output: scale independent growth factor at a + * @return the error status + */ + +int fourier_hmcode_growint( + struct precision * ppr, + struct background * pba, + struct fourier * pfo, + double a, + double w0, + double wa, + double * growth + ){ + + double z, ainit, amax, scalefactor, gamma, X_de, Hubble2, Omega_m; + int i, index_scalefactor, index_a, index_growth, index_ddgrowth, index_gcol, ng; // index_scalefactor is a running index while index_a is a column index + double * pvecback; + double * integrand; + + ng = 1024; // number of growth values (stepsize of the integral), should not be hardcoded and replaced by a precision parameter + ainit = a; + amax = 1.; + + i=0; + index_a = i; + i++; + index_growth = i; + i++; + index_ddgrowth = i; + i++; + index_gcol = i; + + class_alloc(integrand,ng*index_gcol*sizeof(double),pfo->error_message); + class_alloc(pvecback,pba->bg_size*sizeof(double),pfo->error_message); + + if (ainit == amax) { + *growth = 1.; + } + else { + + for (index_scalefactor=0;index_scalefactorOmega0_m*pow((1.+z), 3.) + pba->Omega0_k*pow((1.+z), 2.) + pba->Omega0_de*X_de); + Omega_m = (pba->Omega0_m*pow((1.+z), 3.))/Hubble2; + /* Samuel brieden: TBC: check that the matching between the + background quantity and this fitting formula improves by + using Omega_cb (as it is done in background). Carefull: + Hubble remains with Omega0_m */ + + if (w0 == -1.){ + gamma = 0.55; + } + else if (w0 < -1.){ + gamma = 0.55+0.02*(1+w0); + } + else { + gamma = 0.55+0.05*(1+w0); + } + integrand[index_scalefactor*index_gcol+index_a] = scalefactor; + integrand[index_scalefactor*index_gcol+index_growth]= -pow(Omega_m, gamma)/scalefactor; + } + + class_call(array_spline(integrand, + index_gcol, + ng, + index_a, + index_growth, + index_ddgrowth, + _SPLINE_EST_DERIV_, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + class_call(array_integrate_all_trapzd_or_spline(integrand, + index_gcol, + ng, + 0, //ng-1, + index_a, + index_growth, + index_ddgrowth, + growth, + pfo->error_message), + pfo->error_message, + pfo->error_message); + + *growth = exp(*growth); + + } + //fprintf(stdout, "%e %e \n", a, *growth); + free(pvecback); + free(integrand); + + return _SUCCESS_; +} + +/** + * This is the fourier transform of the NFW density profile. + * + * @param pfo Input: pointer to fourier structure + * @param k Input: wave vector + * @param rv Input: virial radius + * @param c Input: concentration = rv/rs (with scale radius rs) + * @param window_nfw Output: Window Function of the NFW profile + * @return the error status + */ + +int fourier_hmcode_window_nfw( + struct fourier * pfo, + double k, + double rv, + double c, + double *window_nfw + ){ + double si1, si2, ci1, ci2, ks; + double p1, p2, p3; + + ks = k*rv/c; + + class_call(sine_integral( + ks*(1.+c), + &si2, + pfo->error_message + ), + pfo->error_message, pfo->error_message); + + class_call(sine_integral( + ks, + &si1, + pfo->error_message + ), + pfo->error_message, pfo->error_message); + + class_call(cosine_integral( + ks*(1.+c), + &ci2, + pfo->error_message + ), + pfo->error_message, pfo->error_message); + + class_call(cosine_integral( + ks, + &ci1, + pfo->error_message + ), + pfo->error_message, pfo->error_message); + + p1=cos(ks)*(ci2-ci1); + p2=sin(ks)*(si2-si1); + p3=sin(ks*c)/(ks*(1.+c)); + + *window_nfw=p1+p2-p3; + *window_nfw=*window_nfw/(log(1.+c)-c/(1.+c)); + + return _SUCCESS_; +} + +/** + * This is the Sheth-Tormen halo mass function (1999, MNRAS, 308, 119) + * + * @param nu Input: the \f$ \nu \f$ parameter that depends on the halo mass via \f$ \nu(M) = \delta_c/\sigma(M) \f$ + * @param hmf Output: Value of the halo mass function at this \f$ \nu \f$ + * @return the error status + */ + +int fourier_hmcode_halomassfunction( + double nu, + double * hmf + ){ + + double p, q, A; + + p=0.3; + q=0.707; + A=0.21616; + + *hmf=A*(1.+(pow(q*nu*nu, -p)))*exp(-q*nu*nu/2.); + + return _SUCCESS_; +} + +/** + * Compute sigma8(z) + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param z Input: redshift + * @param sigma_8 Output: sigma8(z) + * @param sigma_8_cb Output: sigma8_cb(z) + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_sigma8_at_z( + struct background *pba, + struct fourier * pfo, + double z, + double * sigma_8, + double * sigma_8_cb, + struct fourier_workspace * pnw + ) { + + double tau; + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + if (pfo->tau_size == 1) { + *sigma_8 = pnw->sigma_8[pfo->index_pk_m][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_8[pfo->index_pk_m], + 1, + pfo->tau_size, + tau, + sigma_8, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + + if (pba->has_ncdm == _TRUE_){ + + if (pfo->tau_size == 1) { + *sigma_8_cb = pnw->sigma_8[pfo->index_pk_cb][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_8[pfo->index_pk_cb], + 1, + pfo->tau_size, + tau, + sigma_8_cb, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + } + else{ + *sigma_8_cb = *sigma_8; + } + + + + return _SUCCESS_; +} + +/** + * Compute sigmadisp(z) + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param z Input: redshift + * @param sigma_disp Output: sigmadisp(z) + * @param sigma_disp_cb Output: sigmadisp_cb(z) + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_sigmadisp_at_z( + struct background *pba, + struct fourier * pfo, + double z, + double * sigma_disp, + double * sigma_disp_cb, + struct fourier_workspace * pnw + ) { + + double tau; + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + if (pfo->tau_size == 1) { + *sigma_disp = pnw->sigma_disp[pfo->index_pk_m][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_disp[pfo->index_pk_m], + 1, + pfo->tau_size, + tau, + sigma_disp, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + if (pba->has_ncdm == _TRUE_){ + + if (pfo->tau_size == 1) { + *sigma_disp_cb = pnw->sigma_disp[pfo->index_pk_cb][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_disp[pfo->index_pk_cb], + 1, + pfo->tau_size, + tau, + sigma_disp_cb, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + } + else{ + *sigma_disp_cb = *sigma_disp; + } + + + + return _SUCCESS_; +} + +/** + * Compute sigmadisp100(z) + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param z Input: redshift + * @param sigma_disp_100 Output: sigmadisp100(z) + * @param sigma_disp_100_cb Output: sigmadisp100_cb(z) + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_sigmadisp100_at_z( + struct background *pba, + struct fourier * pfo, + double z, + double * sigma_disp_100, + double * sigma_disp_100_cb, + struct fourier_workspace * pnw + ) { + + double tau; + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + if (pfo->tau_size == 1) { + *sigma_disp_100 = pnw->sigma_disp_100[pfo->index_pk_m][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_disp_100[pfo->index_pk_m], + 1, + pfo->tau_size, + tau, + sigma_disp_100, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + if (pba->has_ncdm == _TRUE_){ + + if (pfo->tau_size == 1) { + *sigma_disp_100_cb = pnw->sigma_disp_100[pfo->index_pk_cb][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_disp_100[pfo->index_pk_cb], + 1, + pfo->tau_size, + tau, + sigma_disp_100_cb, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + } + else{ + *sigma_disp_100_cb = *sigma_disp_100; + } + + + return _SUCCESS_; +} + +/** + * Compute sigma'(z) + * + * @param pba Input: pointer to background structure + * @param pfo Input: pointer to fourier structure + * @param z Input: redshift + * @param sigma_prime Output: sigma'(z) + * @param sigma_prime_cb Output: sigma'_cb(z) + * @param pnw Output: pointer to nonlinear workspace + * @return the error status + */ + +int fourier_hmcode_sigmaprime_at_z( + struct background *pba, + struct fourier * pfo, + double z, + double * sigma_prime, + double * sigma_prime_cb, + struct fourier_workspace * pnw + ) { + + double tau; + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + pfo->error_message); + + if (pfo->tau_size == 1) { + *sigma_prime = pnw->sigma_prime[pfo->index_pk_m][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_prime[pfo->index_pk_m], + 1, + pfo->tau_size, + tau, + sigma_prime, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + if (pba->has_ncdm == _TRUE_){ + + if (pfo->tau_size == 1) { + *sigma_prime_cb = pnw->sigma_prime[pfo->index_pk_cb][0]; + } + else { + class_call(array_interpolate_two(pfo->tau, + 1, + 0, + pnw->sigma_prime[pfo->index_pk_cb], + 1, + pfo->tau_size, + tau, + sigma_prime_cb, + 1, + pfo->error_message), + pfo->error_message, + pfo->error_message); + } + + } + else{ + *sigma_prime_cb = *sigma_prime; + } + + + return _SUCCESS_; +} diff --git a/source/harmonic.c b/source/harmonic.c new file mode 100644 index 00000000..670834e9 --- /dev/null +++ b/source/harmonic.c @@ -0,0 +1,1729 @@ +/** @file harmonic.c Documented harmonic module + * + * Julien Lesgourgues, 1.11.2019 + * + * This module computes the harmonic power spectra \f$ C_l^{X} \f$'s + * given the transfer functions and the primordial spectra. + * + * The following functions can be called from other modules: + * + * -# harmonic_init() at the beginning (but after transfer_init()) + * -# harmonic_cl_at_l() at any time for computing individual \f$ C_l \f$'s at any l + * -# harmonic_free() at the end + */ + +#include "harmonic.h" +#include "parallel.h" + +/** + * Anisotropy power spectra \f$ C_l\f$'s for all types, modes and initial conditions. + * This routine evaluates all the \f$C_l\f$'s at a given value of l by + * interpolating in the pre-computed table. When relevant, it also + * sums over all initial conditions for each mode, and over all modes. + * + * This function can be + * called from whatever module at whatever time, provided that + * harmonic_init() has been called before, and harmonic_free() has not + * been called yet. + * + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param l Input: multipole number + * @param cl_tot Output: total \f$C_l\f$'s for all types (TT, TE, EE, etc..) + * @param cl_md Output: \f$C_l\f$'s for all types (TT, TE, EE, etc..) decomposed mode by mode (scalar, tensor, ...) when relevant + * @param cl_md_ic Output: \f$C_l\f$'s for all types (TT, TE, EE, etc..) decomposed by pairs of initial conditions (adiabatic, isocurvatures) for each mode (usually, only for the scalar mode) when relevant + * @return the error status + */ + +int harmonic_cl_at_l( + struct harmonic * phr, + double l, + double * cl_tot, /* array with argument cl_tot[index_ct] (must be already allocated) */ + double * * cl_md, /* array with argument cl_md[index_md][index_ct] (must be already allocated only if several modes) */ + double * * cl_md_ic /* array with argument cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct] (must be already allocated for a given mode only if several ic's) */ + ) { + + /** Summary: */ + + /** - define local variables */ + + int last_index; + int index_md; + int index_ic1,index_ic2,index_ic1_ic2; + int index_ct; + + /** - (a) treat case in which there is only one mode and one initial condition. + Then, only cl_tot needs to be filled. */ + + if ((phr->md_size == 1) && (phr->ic_size[0] == 1)) { + index_md = 0; + if ((int)l <= phr->l[phr->l_size[index_md]-1]) { + + /* interpolate at l */ + class_call(array_interpolate_spline(phr->l, + phr->l_size[index_md], + phr->cl[index_md], + phr->ddcl[index_md], + phr->ct_size, + l, + &last_index, + cl_tot, + phr->ct_size, + phr->error_message), + phr->error_message, + phr->error_message); + + /* set to zero for the types such that lct_size; index_ct++) + if ((int)l > phr->l_max_ct[index_md][index_ct]) + cl_tot[index_ct]=0.; + } + else { + for (index_ct=0; index_ctct_size; index_ct++) + cl_tot[index_ct]=0.; + } + } + + /** - (b) treat case in which there is only one mode + with several initial condition. + Fill cl_md_ic[index_md=0] and sum it to get cl_tot. */ + + if ((phr->md_size == 1) && (phr->ic_size[0] > 1)) { + index_md = 0; + for (index_ct=0; index_ctct_size; index_ct++) + cl_tot[index_ct]=0.; + for (index_ic1 = 0; index_ic1 < phr->ic_size[index_md]; index_ic1++) { + for (index_ic2 = index_ic1; index_ic2 < phr->ic_size[index_md]; index_ic2++) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + if (((int)l <= phr->l[phr->l_size[index_md]-1]) && + (phr->is_non_zero[index_md][index_ic1_ic2] == _TRUE_)) { + + class_call(array_interpolate_spline(phr->l, + phr->l_size[index_md], + phr->cl[index_md], + phr->ddcl[index_md], + phr->ic_ic_size[index_md]*phr->ct_size, + l, + &last_index, + cl_md_ic[index_md], + phr->ic_ic_size[index_md]*phr->ct_size, + phr->error_message), + phr->error_message, + phr->error_message); + + for (index_ct=0; index_ctct_size; index_ct++) + if ((int)l > phr->l_max_ct[index_md][index_ct]) + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]=0.; + } + else { + for (index_ct=0; index_ctct_size; index_ct++) + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]=0.; + } + + /* compute cl_tot by summing over cl_md_ic */ + for (index_ct=0; index_ctct_size; index_ct++) { + if (index_ic1 == index_ic2) + cl_tot[index_ct]+=cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]; + else + cl_tot[index_ct]+=2.*cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]; + } + } + } + } + + /** - (c) loop over modes */ + + if (phr->md_size > 1) { + + for (index_ct=0; index_ctct_size; index_ct++) + cl_tot[index_ct]=0.; + + for (index_md = 0; index_md < phr->md_size; index_md++) { + + /** - --> (c.1.) treat case in which the mode under consideration + has only one initial condition. + Fill cl_md[index_md]. */ + + if (phr->ic_size[index_md] == 1) { + if ((int)l <= phr->l[phr->l_size[index_md]-1]) { + + class_call(array_interpolate_spline(phr->l, + phr->l_size[index_md], + phr->cl[index_md], + phr->ddcl[index_md], + phr->ct_size, + l, + &last_index, + cl_md[index_md], + phr->ct_size, + phr->error_message), + phr->error_message, + phr->error_message); + + for (index_ct=0; index_ctct_size; index_ct++) + if ((int)l > phr->l_max_ct[index_md][index_ct]) + cl_md[index_md][index_ct]=0.; + } + else { + for (index_ct=0; index_ctct_size; index_ct++) + cl_md[index_md][index_ct]=0.; + } + } + + /** - --> (c.2.) treat case in which the mode under consideration + has several initial conditions. + Fill cl_md_ic[index_md] and sum it to get cl_md[index_md] */ + + if (phr->ic_size[index_md] > 1) { + + if ((int)l <= phr->l[phr->l_size[index_md]-1]) { + + /* interpolate all ic and ct */ + class_call(array_interpolate_spline(phr->l, + phr->l_size[index_md], + phr->cl[index_md], + phr->ddcl[index_md], + phr->ic_ic_size[index_md]*phr->ct_size, + l, + &last_index, + cl_md_ic[index_md], + phr->ic_ic_size[index_md]*phr->ct_size, + phr->error_message), + phr->error_message, + phr->error_message); + + /* set to zero some of the components */ + for (index_ic1 = 0; index_ic1 < phr->ic_size[index_md]; index_ic1++) { + for (index_ic2 = index_ic1; index_ic2 < phr->ic_size[index_md]; index_ic2++) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + for (index_ct=0; index_ctct_size; index_ct++) { + + if (((int)l > phr->l_max_ct[index_md][index_ct]) || (phr->is_non_zero[index_md][index_ic1_ic2] == _FALSE_)) + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]=0.; + } + } + } + } + /* if l was too big, set anyway all components to zero */ + else { + for (index_ic1 = 0; index_ic1 < phr->ic_size[index_md]; index_ic1++) { + for (index_ic2 = index_ic1; index_ic2 < phr->ic_size[index_md]; index_ic2++) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + for (index_ct=0; index_ctct_size; index_ct++) { + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]=0.; + } + } + } + } + + /* sum up all ic for each mode */ + + for (index_ct=0; index_ctct_size; index_ct++) { + + cl_md[index_md][index_ct]=0.; + + for (index_ic1 = 0; index_ic1 < phr->ic_size[index_md]; index_ic1++) { + for (index_ic2 = index_ic1; index_ic2 < phr->ic_size[index_md]; index_ic2++) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + + if (index_ic1 == index_ic2) + cl_md[index_md][index_ct]+=cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]; + else + cl_md[index_md][index_ct]+=2.*cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct]; + } + } + } + } + + /** - --> (c.3.) add contribution of cl_md[index_md] to cl_tot */ + + for (index_ct=0; index_ctct_size; index_ct++) + cl_tot[index_ct]+=cl_md[index_md][index_ct]; + } + } + + return _SUCCESS_; + +} + +/** + * This routine initializes the harmonic structure (in particular, + * computes table of anisotropy and Fourier spectra \f$ C_l^{X}, P(k), ... \f$) + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure (will provide H, Omega_m at redshift of interest) + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param pfo Input: pointer to fourier structure + * @param phr Output: pointer to initialized harmonic structure + * @return the error status + */ + +int harmonic_init( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct primordial * ppm, + struct fourier * pfo, + struct transfer * ptr, + struct harmonic * phr + ) { + + /** Summary: */ + + /** - check that we really want to compute at least one spectrum */ + + if (ppt->has_cls == _FALSE_) { + phr->md_size = 0; + if (phr->harmonic_verbose > 0) + printf("No spectra requested. Spectra module skipped.\n"); + return _SUCCESS_; + } + else { + if (phr->harmonic_verbose > 0) + printf("Computing unlensed harmonic spectra\n"); + } + + /** - initialize indices and allocate some of the arrays in the + harmonic structure */ + + class_call(harmonic_indices(pba,ppt,ptr,ppm,phr), + phr->error_message, + phr->error_message); + + /** - deal with \f$ C_l\f$'s, if any */ + + if (ppt->has_cls == _TRUE_) { + + class_call(harmonic_cls(ppr,pba,ppt,ptr,ppm,phr), + phr->error_message, + phr->error_message); + + } + else { + phr->ct_size=0; + } + + /** - a pointer to the fourier structure is stored in the spectra + structure. This odd, unusual and unelegant feature has been + introduced in v2.8 in order to keep in use some deprecated + functions harmonic_pk_...() that are now pointing at new + function fourier_pk_...(). In the future, if the deprecated + functions are removed, it will be possible to remove also this + pointer. */ + + phr->pfo = pfo; + + return _SUCCESS_; +} + +/** + * This routine frees all the memory space allocated by harmonic_init(). + * + * To be called at the end of each run, only when no further calls to + * harmonic_cls_at_l(), harmonic_pk_at_z(), harmonic_pk_at_k_and_z() are needed. + * + * @param phr Input: pointer to harmonic structure (which fields must be freed) + * @return the error status + */ + +int harmonic_free( + struct harmonic * phr + ) { + + int index_md; + + if (phr->md_size > 0) { + if (phr->ct_size > 0) { + + for (index_md = 0; index_md < phr->md_size; index_md++) { + free(phr->l_max_ct[index_md]); + free(phr->cl[index_md]); + free(phr->ddcl[index_md]); + } + free(phr->l); + free(phr->l_size); + free(phr->l_max_ct); + free(phr->l_max); + free(phr->cl); + free(phr->ddcl); + } + + for (index_md=0; index_md < phr->md_size; index_md++) + free(phr->is_non_zero[index_md]); + + free(phr->is_non_zero); + free(phr->ic_size); + free(phr->ic_ic_size); + + } + + return _SUCCESS_; + +} + +/** + * This routine defines indices and allocates tables in the harmonic structure + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input/output: pointer to harmonic structure + * @return the error status + */ + +int harmonic_indices( + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr + ){ + + int index_ct; + int index_md; + int index_ic1_ic2; + + phr->md_size = ppt->md_size; + if (ppt->has_scalars == _TRUE_) + phr->index_md_scalars = ppt->index_md_scalars; + + class_alloc(phr->ic_size, + sizeof(int)*phr->md_size, + phr->error_message); + + class_alloc(phr->ic_ic_size, + sizeof(int)*phr->md_size, + phr->error_message); + + class_alloc(phr->is_non_zero, + sizeof(short *)*phr->md_size, + phr->error_message); + + for (index_md=0; index_md < phr->md_size; index_md++) { + phr->ic_size[index_md] = ppm->ic_size[index_md]; + phr->ic_ic_size[index_md] = ppm->ic_ic_size[index_md]; + class_alloc(phr->is_non_zero[index_md], + sizeof(short)*phr->ic_ic_size[index_md], + phr->error_message); + for (index_ic1_ic2=0; index_ic1_ic2 < phr->ic_ic_size[index_md]; index_ic1_ic2++) + phr->is_non_zero[index_md][index_ic1_ic2] = ppm->is_non_zero[index_md][index_ic1_ic2]; + } + + if (ppt->has_cls == _TRUE_) { + + /* types of C_l's relevant for both scalars and tensors: TT, EE, TE */ + + index_ct=0; + + if (ppt->has_cl_cmb_temperature == _TRUE_) { + phr->has_tt = _TRUE_; + phr->index_ct_tt=index_ct; + index_ct++; + } + else { + phr->has_tt = _FALSE_; + } + + if (ppt->has_cl_cmb_polarization == _TRUE_) { + phr->has_ee = _TRUE_; + phr->index_ct_ee=index_ct; + index_ct++; + } + else { + phr->has_ee = _FALSE_; + } + + if ((ppt->has_cl_cmb_temperature == _TRUE_) && + (ppt->has_cl_cmb_polarization == _TRUE_)) { + phr->has_te = _TRUE_; + phr->index_ct_te=index_ct; + index_ct++; + } + else { + phr->has_te = _FALSE_; + } + + if (ppt->has_cl_cmb_polarization == _TRUE_) { + phr->has_bb = _TRUE_; + phr->index_ct_bb=index_ct; + index_ct++; + } + else { + phr->has_bb = _FALSE_; + } + + /* types of C_l's relevant only for scalars: phi-phi, T-phi, E-phi, d-d, T-d */ + + if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_pp = _TRUE_; + phr->index_ct_pp=index_ct; + index_ct++; + } + else { + phr->has_pp = _FALSE_; + } + + if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_tp = _TRUE_; + phr->index_ct_tp=index_ct; + index_ct++; + } + else { + phr->has_tp = _FALSE_; + } + + phr->ct_size = index_ct; + + if ((ppt->has_cl_cmb_polarization == _TRUE_) && (ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_ep = _TRUE_; + phr->index_ct_ep=index_ct; + index_ct++; + } + else { + phr->has_ep = _FALSE_; + } + + if ((ppt->has_scalars == _TRUE_) && + ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_))) + phr->d_size=ppt->selection_num; + else + phr->d_size=0; + + if ((ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_dd = _TRUE_; + phr->index_ct_dd=index_ct; + index_ct+=(phr->d_size*(phr->d_size+1)-(phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag))/2; + } + else { + phr->has_dd = _FALSE_; + } + + /* the computation of C_l^Td would require a very good sampling of + transfer functions over a wide range, and a huge computation + time. In the current version, we prefer to switch it off, rather + than either slowing down the code considerably, or producing + very inaccurate spectra. + + if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_td = _TRUE_; + phr->index_ct_td=index_ct; + index_ct+=phr->d_size; + } + else { + phr->has_td = _FALSE_; + } + */ + phr->has_td = _FALSE_; + + if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_pd = _TRUE_; + phr->index_ct_pd=index_ct; + index_ct+=phr->d_size; + } + else { + phr->has_pd = _FALSE_; + } + + if ((ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_ll = _TRUE_; + phr->index_ct_ll=index_ct; + index_ct+=(phr->d_size*(phr->d_size+1)-(phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag))/2; + } + else { + phr->has_ll = _FALSE_; + } + + /* the computation of C_l^Tl would require a very good sampling of + transfer functions over a wide range, and a huge computation + time. In the current version, we prefer to switch it off, rather + than either slowing down the code considerably, or producing + very inaccurate spectra. + + if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_tl = _TRUE_; + phr->index_ct_tl=index_ct; + index_ct+=phr->d_size; + } + else { + phr->has_tl = _FALSE_; + } + */ + phr->has_tl = _FALSE_; + + if ((ppt->has_cl_number_count == _TRUE_) && (ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { + phr->has_dl = _TRUE_; + phr->index_ct_dl=index_ct; + index_ct += phr->d_size*phr->d_size - (phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag); + } + else { + phr->has_dl = _FALSE_; + } + + phr->ct_size = index_ct; + + /* infer from input quantities the l_max for each mode and type, + l_max_ct[index_md][index_type]. Maximize it over index_ct, and + then over index_md. */ + + class_alloc(phr->l_max,sizeof(int*)*phr->md_size,phr->error_message); + class_alloc(phr->l_max_ct,sizeof(int*)*phr->md_size,phr->error_message); + for (index_md=0; index_mdmd_size; index_md++) { + class_calloc(phr->l_max_ct[index_md],phr->ct_size,sizeof(int),phr->error_message); + } + + if (ppt->has_scalars == _TRUE_) { + + /* spectra computed up to l_scalar_max */ + + if (phr->has_tt == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_tt] = ppt->l_scalar_max; + if (phr->has_ee == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_ee] = ppt->l_scalar_max; + if (phr->has_te == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_te] = ppt->l_scalar_max; + if (phr->has_pp == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_pp] = ppt->l_scalar_max; + if (phr->has_tp == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_tp] = ppt->l_scalar_max; + if (phr->has_ep == _TRUE_) phr->l_max_ct[ppt->index_md_scalars][phr->index_ct_ep] = ppt->l_scalar_max; + + /* spectra computed up to l_lss_max */ + + if (phr->has_dd == _TRUE_) + for (index_ct=phr->index_ct_dd; + index_ctindex_ct_dd+(phr->d_size*(phr->d_size+1)-(phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag))/2; + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; + + if (phr->has_td == _TRUE_) + for (index_ct=phr->index_ct_td; + index_ctindex_ct_td+phr->d_size; + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); + + if (phr->has_pd == _TRUE_) + for (index_ct=phr->index_ct_pd; + index_ctindex_ct_pd+phr->d_size; + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); + + if (phr->has_ll == _TRUE_) + for (index_ct=phr->index_ct_ll; + index_ctindex_ct_ll+(phr->d_size*(phr->d_size+1)-(phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag))/2; + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; + + if (phr->has_tl == _TRUE_) + for (index_ct=phr->index_ct_tl; + index_ctindex_ct_tl+phr->d_size; + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); + + if (phr->has_dl == _TRUE_) + for (index_ct=phr->index_ct_dl; + index_ct < phr->index_ct_dl+(phr->d_size*phr->d_size - (phr->d_size-phr->non_diag)*(phr->d_size-1-phr->non_diag)); + index_ct++) + phr->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; + + } + if (ppt->has_tensors == _TRUE_) { + + /* spectra computed up to l_tensor_max */ + + if (phr->has_tt == _TRUE_) phr->l_max_ct[ppt->index_md_tensors][phr->index_ct_tt] = ppt->l_tensor_max; + if (phr->has_ee == _TRUE_) phr->l_max_ct[ppt->index_md_tensors][phr->index_ct_ee] = ppt->l_tensor_max; + if (phr->has_te == _TRUE_) phr->l_max_ct[ppt->index_md_tensors][phr->index_ct_te] = ppt->l_tensor_max; + if (phr->has_bb == _TRUE_) phr->l_max_ct[ppt->index_md_tensors][phr->index_ct_bb] = ppt->l_tensor_max; + } + + /* maximizations */ + phr->l_max_tot = 0.; + for (index_md=0; index_md < phr->md_size; index_md++) { + phr->l_max[index_md] = 0.; + for (index_ct=0.; index_ctct_size; index_ct++) + phr->l_max[index_md] = MAX(phr->l_max[index_md],phr->l_max_ct[index_md][index_ct]); + phr->l_max_tot = MAX(phr->l_max_tot,phr->l_max[index_md]); + } + } + + return _SUCCESS_; + +} + +/** + * This routine computes a table of values for all harmonic spectra \f$ C_l \f$'s, + * given the transfer functions and primordial spectra. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input/Output: pointer to harmonic structure + * @return the error status + */ + +int harmonic_cls( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr + ) { + + /** Summary: */ + + /** - define local variables */ + + int index_md; + int index_ic1,index_ic2,index_ic1_ic2; + int index_l; + int index_ct; + int cl_integrand_num_columns; + + /** - allocate pointers to arrays where results will be stored */ + + class_alloc(phr->l_size,sizeof(int)*phr->md_size,phr->error_message); + class_alloc(phr->cl,sizeof(double *)*phr->md_size,phr->error_message); + class_alloc(phr->ddcl,sizeof(double *)*phr->md_size,phr->error_message); + + phr->l_size_max = ptr->l_size_max; + class_alloc(phr->l,sizeof(double)*phr->l_size_max,phr->error_message); + + /** - store values of l */ + for (index_l=0; index_l < phr->l_size_max; index_l++) { + phr->l[index_l] = (double)ptr->l[index_l]; + } + + /** - loop over modes (scalar, tensors, etc). For each mode: */ + + for (index_md = 0; index_md < phr->md_size; index_md++) { + + /** - --> (a) store number of l values for this mode */ + + phr->l_size[index_md] = ptr->l_size[index_md]; + + /** - --> (b) allocate arrays where results will be stored */ + + class_alloc(phr->cl[index_md],sizeof(double)*phr->l_size[index_md]*phr->ct_size*phr->ic_ic_size[index_md],phr->error_message); + class_alloc(phr->ddcl[index_md],sizeof(double)*phr->l_size[index_md]*phr->ct_size*phr->ic_ic_size[index_md],phr->error_message); + cl_integrand_num_columns = 1+phr->ct_size*2; /* one for k, ct_size for each type, ct_size for each second derivative of each type */ + + /** - --> (c) loop over initial conditions */ + + class_setup_parallel(); + + for (index_ic1 = 0; index_ic1 < phr->ic_size[index_md]; index_ic1++) { + for (index_ic2 = index_ic1; index_ic2 < phr->ic_size[index_md]; index_ic2++) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + + /* non-diagonal coefficients should be computed only if non-zero correlation */ + if (phr->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + + /** - ---> loop over l values defined in the transfer module. + For each l, compute the \f$ C_l\f$'s for all types (TT, TE, ...) + by convolving primordial spectra with transfer functions. + This elementary task is assigned to harmonic_compute_cl() */ + + for (index_l=0; index_l < ptr->l_size[index_md]; index_l++) { + + class_run_parallel(=, + + double * cl_integrand; /* array with argument cl_integrand[index_k*cl_integrand_num_columns+1+phr->index_ct] */ + double * cl_integrand_limber; /* similar array with same columns but different number of lines (less k values) */ + double * transfer_ic1; /* array with argument transfer_ic1[index_tt] */ + double * transfer_ic2; /* idem */ + double * primordial_pk; /* array with argument primordial_pk[index_ic_ic]*/ + + + class_alloc(cl_integrand, + ptr->q_size*cl_integrand_num_columns*sizeof(double), + phr->error_message); + + cl_integrand_limber = NULL; + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_alloc(cl_integrand_limber, + ptr->q_size_limber*cl_integrand_num_columns*sizeof(double), + phr->error_message); + } + + class_alloc(primordial_pk, + phr->ic_ic_size[index_md]*sizeof(double), + phr->error_message); + + class_alloc(transfer_ic1, + ptr->tt_size[index_md]*sizeof(double), + phr->error_message); + + class_alloc(transfer_ic2, + ptr->tt_size[index_md]*sizeof(double), + phr->error_message); + + class_call(harmonic_compute_cl(ppr, + pba, + ppt, + ptr, + ppm, + phr, + index_md, + index_ic1, + index_ic2, + index_l, + cl_integrand_num_columns, + cl_integrand, + cl_integrand_limber, + primordial_pk, + transfer_ic1, + transfer_ic2), + phr->error_message, + phr->error_message); + + free(cl_integrand); + if (ptr->do_lcmb_full_limber == _TRUE_) { + free(cl_integrand_limber); + } + free(primordial_pk); + free(transfer_ic1); + free(transfer_ic2); + + return _SUCCESS_; + ); + } /* end of loop over l */ + + } + else { + + /* set non-diagonal coefficients to zero if pair of ic's uncorrelated */ + + for (index_l=0; index_l < ptr->l_size[index_md]; index_l++) { + for (index_ct=0; index_ctct_size; index_ct++) { + phr->cl[index_md] + [(index_l * phr->ic_ic_size[index_md] + index_ic1_ic2) * phr->ct_size + index_ct] + = 0.; + } + } + } + } + } + + class_finish_parallel(); + + /** - --> (d) now that for a given mode, all possible \f$ C_l\f$'s have been computed, + compute second derivative of the array in which they are stored, + in view of spline interpolation. */ + + class_call(array_spline_table_lines(phr->l, + phr->l_size[index_md], + phr->cl[index_md], + phr->ic_ic_size[index_md]*phr->ct_size, + phr->ddcl[index_md], + _SPLINE_EST_DERIV_, + phr->error_message), + phr->error_message, + phr->error_message); + } + + return _SUCCESS_; + +} + +/** + * This routine computes the \f$ C_l\f$'s for a given mode, pair of initial conditions + * and multipole, but for all types (TT, TE...), by convolving the + * transfer functions with the primordial spectra. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input/Output: pointer to harmonic structure (result stored here) + * @param index_md Input: index of mode under consideration + * @param index_ic1 Input: index of first initial condition in the correlator + * @param index_ic2 Input: index of second initial condition in the correlator + * @param index_l Input: index of multipole under consideration + * @param cl_integrand_num_columns Input: number of columns in cl_integrand + * @param cl_integrand Input: an allocated workspace + * @param cl_integrand_limber Input: an allocated workspace for full Limber calculation + * @param primordial_pk Input: table of primordial spectrum values + * @param transfer_ic1 Input: table of transfer function values for first initial condition + * @param transfer_ic2 Input: table of transfer function values for second initial condition + * @return the error status + */ + +int harmonic_compute_cl( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + struct primordial * ppm, + struct harmonic * phr, + int index_md, + int index_ic1, + int index_ic2, + int index_l, + int cl_integrand_num_columns, + double * cl_integrand, + double * cl_integrand_limber, + double * primordial_pk, + double * transfer_ic1, + double * transfer_ic2 + ) { + + int index_q; + int index_tt; + int index_ct; + int index_d1,index_d2; + double k; + double clvalue; + int index_ic1_ic2; + double transfer_ic1_temp=0.; + double transfer_ic2_temp=0.; + double * transfer_ic1_nc=NULL; + double * transfer_ic2_nc=NULL; + double factor; + int index_q_spline=0; + double * integrand; + int num_columns; + int num_k; + int column_k; + int column_integrand; + int column_derivative; + int index_spline; + double q_min; + double k_min; + double l; + + l = phr->l[index_l]; + + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); + + if (ppt->has_cl_number_count == _TRUE_ && _scalars_) { + class_alloc(transfer_ic1_nc,phr->d_size*sizeof(double),phr->error_message); + class_alloc(transfer_ic2_nc,phr->d_size*sizeof(double),phr->error_message); + } + + /* Technical point: here, we will do a spline integral over the + whole range of k's, excepted in the closed (K>0) case. In that + case, it is a bad idea to spline over the values of k + corresponding to nuindex_q_flat_approximation, + to tell the integration routine that below this index, it should + treat the integral as a trapezoidal one. For testing, one is free + to set index_q_spline to 0, to enforce spline integration + everywhere, or to (ptr->q_size-1), to enforce trapezoidal + integration everywhere. */ + + if (pba->sgnK == 1) { + index_q_spline = ptr->index_q_flat_approximation; + } + + for (index_q=0; index_q < ptr->q_size; index_q++) { + + //q = ptr->q[index_q]; + k = ptr->k[index_md][index_q]; + + cl_integrand[index_q*cl_integrand_num_columns+0] = k; + + class_call(primordial_spectrum_at_k(ppm,index_md,linear,k,primordial_pk), + ppm->error_message, + phr->error_message); + + /* above routine checks that k>0: no possible division by zero below */ + + for (index_tt=0; index_tt < ptr->tt_size[index_md]; index_tt++) { + + transfer_ic1[index_tt] = + ptr->transfer[index_md] + [((index_ic1 * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q]; + + if (index_ic1 == index_ic2) { + transfer_ic2[index_tt] = transfer_ic1[index_tt]; + } + else { + transfer_ic2[index_tt] = ptr->transfer[index_md] + [((index_ic2 * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q]; + } + } + + /* define combinations of transfer functions */ + + if (ppt->has_cl_cmb_temperature == _TRUE_) { + + if (_scalars_) { + + transfer_ic1_temp = transfer_ic1[ptr->index_tt_t0] + transfer_ic1[ptr->index_tt_t1] + transfer_ic1[ptr->index_tt_t2]; + transfer_ic2_temp = transfer_ic2[ptr->index_tt_t0] + transfer_ic2[ptr->index_tt_t1] + transfer_ic2[ptr->index_tt_t2]; + + } + + if (_vectors_) { + + transfer_ic1_temp = transfer_ic1[ptr->index_tt_t1] + transfer_ic1[ptr->index_tt_t2]; + transfer_ic2_temp = transfer_ic2[ptr->index_tt_t1] + transfer_ic2[ptr->index_tt_t2]; + + } + + if (_tensors_) { + + transfer_ic1_temp = transfer_ic1[ptr->index_tt_t2]; + transfer_ic2_temp = transfer_ic2[ptr->index_tt_t2]; + + } + } + + if (ppt->has_cl_number_count == _TRUE_ && _scalars_) { + + for (index_d1=0; index_d1d_size; index_d1++) { + + transfer_ic1_nc[index_d1] = 0.; + transfer_ic2_nc[index_d1] = 0.; + + if (ppt->has_nc_density == _TRUE_) { + transfer_ic1_nc[index_d1] += transfer_ic1[ptr->index_tt_density+index_d1]; + transfer_ic2_nc[index_d1] += transfer_ic2[ptr->index_tt_density+index_d1]; + } + + if (ppt->has_nc_rsd == _TRUE_) { + transfer_ic1_nc[index_d1] + += transfer_ic1[ptr->index_tt_rsd+index_d1] + + transfer_ic1[ptr->index_tt_d0+index_d1] + + transfer_ic1[ptr->index_tt_d1+index_d1]; + transfer_ic2_nc[index_d1] + += transfer_ic2[ptr->index_tt_rsd+index_d1] + + transfer_ic2[ptr->index_tt_d0+index_d1] + + transfer_ic2[ptr->index_tt_d1+index_d1]; + } + + if (ppt->has_nc_lens == _TRUE_) { + transfer_ic1_nc[index_d1] += + l*(l+1.)*transfer_ic1[ptr->index_tt_nc_lens+index_d1]; + transfer_ic2_nc[index_d1] += + l*(l+1.)*transfer_ic2[ptr->index_tt_nc_lens+index_d1]; + } + + if (ppt->has_nc_gr == _TRUE_) { + transfer_ic1_nc[index_d1] + += transfer_ic1[ptr->index_tt_nc_g1+index_d1] + + transfer_ic1[ptr->index_tt_nc_g2+index_d1] + + transfer_ic1[ptr->index_tt_nc_g3+index_d1] + + transfer_ic1[ptr->index_tt_nc_g4+index_d1] + + transfer_ic1[ptr->index_tt_nc_g5+index_d1]; + transfer_ic2_nc[index_d1] + += transfer_ic2[ptr->index_tt_nc_g1+index_d1] + + transfer_ic2[ptr->index_tt_nc_g2+index_d1] + + transfer_ic2[ptr->index_tt_nc_g3+index_d1] + + transfer_ic2[ptr->index_tt_nc_g4+index_d1] + + transfer_ic2[ptr->index_tt_nc_g5+index_d1]; + } + + } + } + + /* integrand of Cl's */ + + /* note: we must integrate + + C_l = int [4 pi dk/k calP(k) Delta1_l(q) Delta2_l(q)] + + where calP(k) is the dimensionless + power spectrum equal to a constant in the scale-invariant case, + and to P(k) = A_s k^(ns-1) otherwise and q=sqrt(k2+K) (scalars) + or sqrt(k2+2K) (vectors) or sqrt(k2+3K) (tensors) + + In the literature, people often rewrite the integral in terms + of q and absorb the Jacobian of the change of variables in a redefinition of the primodial + spectrum. Let us illustrate this for scalars: + + dk/k = kdk/k2 = qdq/k2 = dq/q * (q/k)^2 = dq/q * [q2/(q2-K)] = q2dq * 1/[q(q2-K)] + + This factor 1/[q(q2-K)] is commonly absorbed in the definition of calP. Then one would have + + C_l = int [4 pi q2 dq {A_s k^(ns-1)/[q(q2-K)]} Delta1_l(q) Delta2_l(q)] + + Sometimes in the literature, the factor (k2-3K)=(q2-4K) present + in the initial conditions of scalar transfer functions (if + normalized to curvature R=1) is also absorbed in the definition + of the power spectrum. Then the curvature power spectrum reads + + calP = (q2-4K)/[q(q2-K)] * (k/k)^ns + + In CLASS we prefer to define calP = (k/k)^ns like in the flat + case, to have the factor (q2-4K) in the initialk conditions, + and the factor 1/[q(q2-K)] doesn't need to be there since we + integrate over dk/k. + + For tensors, the change of variable described above gives a slightly different result: + + dk/k = kdk/k2 = qdq/k2 = dq/q * (q/k)^2 = dq/q * [q2/(q2-3K)] = q2dq * 1/[q(q2-3K)] + + But for tensors there are extra curvature-related correction factors to + take into account. See the comments in the perturbation module, + related to initial conditions for tensors. + + */ + + factor = 4. * _PI_ / k; + + if (phr->has_tt == _TRUE_) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_tt]= + primordial_pk[index_ic1_ic2] + * transfer_ic1_temp + * transfer_ic2_temp + * factor; + + if (phr->has_ee == _TRUE_) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_ee]= + primordial_pk[index_ic1_ic2] + * transfer_ic1[ptr->index_tt_e] + * transfer_ic2[ptr->index_tt_e] + * factor; + + if (phr->has_te == _TRUE_) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_te]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_e] + + transfer_ic1[ptr->index_tt_e] * transfer_ic2_temp) + * factor; + + if (_tensors_ && (phr->has_bb == _TRUE_)) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_bb]= + primordial_pk[index_ic1_ic2] + * transfer_ic1[ptr->index_tt_b] + * transfer_ic2[ptr->index_tt_b] + * factor; + + if (_scalars_ && (phr->has_pp == _TRUE_)) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_pp]= + primordial_pk[index_ic1_ic2] + * transfer_ic1[ptr->index_tt_lcmb] + * transfer_ic2[ptr->index_tt_lcmb] + * factor; + + if (_scalars_ && (phr->has_tp == _TRUE_)) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_tp]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_lcmb] + + transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2_temp) + * factor; + + if (_scalars_ && (phr->has_ep == _TRUE_)) + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_ep]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1[ptr->index_tt_e] * transfer_ic2[ptr->index_tt_lcmb] + + transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2[ptr->index_tt_e]) + * factor; + + if (_scalars_ && (phr->has_dd == _TRUE_)) { + index_ct=0; + for (index_d1=0; index_d1d_size; index_d1++) { + for (index_d2=index_d1; index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_dd+index_ct]= + primordial_pk[index_ic1_ic2] + * transfer_ic1_nc[index_d1] + * transfer_ic2_nc[index_d2] + * factor; + index_ct++; + } + } + } + + if (_scalars_ && (phr->has_td == _TRUE_)) { + for (index_d1=0; index_d1d_size; index_d1++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_td+index_d1]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1_temp * transfer_ic2_nc[index_d1] + + transfer_ic1_nc[index_d1] * transfer_ic2_temp) + * factor; + } + } + + if (_scalars_ && (phr->has_pd == _TRUE_)) { + for (index_d1=0; index_d1d_size; index_d1++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_pd+index_d1]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2_nc[index_d1] + + transfer_ic1_nc[index_d1] * transfer_ic2[ptr->index_tt_lcmb]) + * factor; + } + } + + if (_scalars_ && (phr->has_ll == _TRUE_)) { + index_ct=0; + for (index_d1=0; index_d1d_size; index_d1++) { + for (index_d2=index_d1; index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_ll+index_ct]= + primordial_pk[index_ic1_ic2] + * transfer_ic1[ptr->index_tt_lensing+index_d1] + * transfer_ic2[ptr->index_tt_lensing+index_d2] + * factor; + index_ct++; + } + } + } + + if (_scalars_ && (phr->has_tl == _TRUE_)) { + for (index_d1=0; index_d1d_size; index_d1++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_tl+index_d1]= + primordial_pk[index_ic1_ic2] + * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_lensing+index_d1] + + transfer_ic1[ptr->index_tt_lensing+index_d1] * transfer_ic2_temp) + * factor; + } + } + + if (_scalars_ && (phr->has_dl == _TRUE_)) { + index_ct=0; + for (index_d1=0; index_d1d_size; index_d1++) { + for (index_d2=MAX(index_d1-phr->non_diag,0); index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++) { + cl_integrand[index_q*cl_integrand_num_columns+1+phr->index_ct_dl+index_ct]= + primordial_pk[index_ic1_ic2] + * transfer_ic1_nc[index_d1] * transfer_ic2[ptr->index_tt_lensing+index_d2] + * factor; + index_ct++; + } + } + } + } + + /* do also a full limber calculation for some types (actually, only pp) */ + + if ((ptr->do_lcmb_full_limber == _TRUE_) && (l>ppr->l_switch_limber)) { + + for (index_q=0; index_q < ptr->q_size_limber; index_q++) { + + //q = ptr->q_limber[index_q]; + k = ptr->k_limber[index_md][index_q]; + + cl_integrand_limber[index_q*cl_integrand_num_columns+0] = k; + + class_call(primordial_spectrum_at_k(ppm,index_md,linear,k,primordial_pk), + ppm->error_message, + phr->error_message); + + /* This is where we define for which types of Cl's we want a + full Limber version. If we wanted it for more than phiphi, we + would add other if statements below. */ + + if (_scalars_ && (phr->has_pp == _TRUE_)) { + + index_tt = ptr->index_tt_lcmb; + index_ct = phr->index_ct_pp; + + transfer_ic1[index_tt] = + ptr->transfer_limber[index_md] + [((index_ic1 * ptr->tt_size[index_md] + ptr->index_tt_lcmb) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q]; + + if (index_ic1 == index_ic2) { + transfer_ic2[index_tt] = transfer_ic1[ptr->index_tt_lcmb]; + } + else { + transfer_ic2[index_tt] = ptr->transfer_limber[index_md] + [((index_ic2 * ptr->tt_size[index_md] + ptr->index_tt_lcmb) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q]; + } + + factor = 4. * _PI_ / k; + + cl_integrand_limber[index_q*cl_integrand_num_columns+1+phr->index_ct_pp]= + primordial_pk[index_ic1_ic2] + * transfer_ic1[index_tt] + * transfer_ic2[index_tt] + * factor; + } + } + } + + for (index_ct=0; index_ctct_size; index_ct++) { + + /* treat null spectra (C_l^BB of scalars, C_l^pp of tensors, etc. */ + + if ((_scalars_ && (phr->has_bb == _TRUE_) && (index_ct == phr->index_ct_bb)) || + (_tensors_ && (phr->has_pp == _TRUE_) && (index_ct == phr->index_ct_pp)) || + (_tensors_ && (phr->has_tp == _TRUE_) && (index_ct == phr->index_ct_tp)) || + (_tensors_ && (phr->has_ep == _TRUE_) && (index_ct == phr->index_ct_ep)) || + (_tensors_ && (phr->has_dd == _TRUE_) && (index_ct == phr->index_ct_dd)) || + (_tensors_ && (phr->has_td == _TRUE_) && (index_ct == phr->index_ct_td)) || + (_tensors_ && (phr->has_pd == _TRUE_) && (index_ct == phr->index_ct_pd)) || + (_tensors_ && (phr->has_ll == _TRUE_) && (index_ct == phr->index_ct_ll)) || + (_tensors_ && (phr->has_tl == _TRUE_) && (index_ct == phr->index_ct_tl)) || + (_tensors_ && (phr->has_dl == _TRUE_) && (index_ct == phr->index_ct_dl)) + ) { + + phr->cl[index_md] + [(index_l * phr->ic_ic_size[index_md] + index_ic1_ic2) * phr->ct_size + index_ct] = 0.; + + } + /* for non-zero spectra, integrate over q */ + else { + + /* spline the integrand over the whole range of k's. This is + where we decide which of the normal or full Limber scheme + will be used at the end. */ + + if (_scalars_ && (ptr->do_lcmb_full_limber == _TRUE_) && (phr->has_pp == _TRUE_) && (index_ct == phr->index_ct_pp) && (l>ppr->l_switch_limber)) { + integrand = cl_integrand_limber; + num_columns = cl_integrand_num_columns; + num_k = ptr->q_size_limber; + index_spline = 0; + q_min = ptr->q_limber[0]; + k_min = ptr->k_limber[0][0]; + } + else{ + integrand = cl_integrand; + num_columns = cl_integrand_num_columns; + num_k = ptr->q_size; + index_spline = index_q_spline; + q_min = ptr->q[0]; + k_min = ptr->k[0][0]; + } + + column_k = 0; + column_integrand = 1+index_ct; + column_derivative = 1+phr->ct_size+index_ct; + + class_call(array_spline(integrand, + num_columns, + num_k, + column_k, + column_integrand, + column_derivative, + _SPLINE_EST_DERIV_, + phr->error_message), + phr->error_message, + phr->error_message); + + class_call(array_integrate_all_trapzd_or_spline(integrand, + num_columns, + num_k, + index_spline, + column_k, + column_integrand, + column_derivative, + &clvalue, + phr->error_message), + phr->error_message, + phr->error_message); + + /* in the closed case, instead of an integral, we have a + discrete sum. In practice, this does not matter: the previous + routine does give a correct approximation of the discrete + sum, both in the trapezoidal and spline regions. The only + error comes from the first point: the previous routine + assumes a weight for the first point which is too small + compared to what it would be in the an actual discrete + sum. The line below correct this problem in an exact way. + */ + + if (pba->sgnK == 1) { + clvalue += integrand[1+index_ct] * q_min/k_min*sqrt(pba->K)/2.; + } + + /* we have the correct C_l now. We can store it in the transfer structure. */ + + phr->cl[index_md] + [(index_l * phr->ic_ic_size[index_md] + index_ic1_ic2) * phr->ct_size + index_ct] + = clvalue; + + } + } + + if (ppt->has_cl_number_count == _TRUE_ && _scalars_) { + free(transfer_ic1_nc); + free(transfer_ic2_nc); + } + + return _SUCCESS_; + +} + +/* deprecated functions (since v2.8) */ + +/** + * Matter power spectrum for arbitrary redshift and for all initial conditions. + * + * This function is deprecated since v2.8. Try using fourier_pk_at_z() instead. + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param mode Input: linear or logarithmic + * @param z Input: redshift + * @param output_tot Output: total matter power spectrum P(k) in \f$ Mpc^3 \f$ (linear mode), or its logarithms (logarithmic mode) + * @param output_ic Output: for each pair of initial conditions, matter power spectra P(k) in \f$ Mpc^3 \f$ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode) + * @param output_cb_tot Output: CDM+baryon power spectrum P_cb(k) in \f$ Mpc^3 \f$ (linear mode), or its logarithms (logarithmic mode) + * @param output_cb_ic Output: for each pair of initial conditions, CDM+baryon power spectra P_cb(k) in \f$ Mpc^3 \f$ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode) + * @return the error status + */ + +int harmonic_pk_at_z( + struct background * pba, + struct harmonic * phr, + enum linear_or_logarithmic mode, + double z, + double * output_tot, /* array with argument output_tot[index_k] (must be already allocated) */ + double * output_ic, /* array with argument output_tot[index_k * phr->ic_ic_size[index_md] + index_ic1_ic2] (must be already allocated only if more than one initial condition) */ + double * output_cb_tot, /* same as output_tot for the baryon+CDM only */ + double * output_cb_ic /* same as output_ic for the baryon+CDM only */ + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_pk_at_z() which is deprecated since v2.8. It will soon be removed. Use fourier_pk_at_z() instead.\n"); + + class_call(fourier_pks_at_z( + pba, + phr->pfo, + mode, + pk_linear, + z, + output_tot, + output_ic, + output_cb_tot, + output_cb_ic + ), + phr->pfo->error_message, + phr->error_message); + + return _SUCCESS_; + +} + +/** + * Matter power spectrum for arbitrary wavenumber, redshift and initial condition. + * + * This function is deprecated since v2.8. Try using fourier_pk_linear_at_k_and_z() instead. + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param ppm Input: pointer to primordial structure (used only in the case 0 < k < kmin) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param k Input: wavenumber in 1/Mpc + * @param z Input: redshift + * @param pk_tot Output: total matter power spectrum P(k) in \f$ Mpc^3 \f$ + * @param pk_ic Output: for each pair of initial conditions, matter power spectra P(k) in \f$ Mpc^3\f$ + * @param pk_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3 \f$ + * @param pk_cb_ic Output: for each pair of initial conditions, b+CDM power spectra P(k) in \f$ Mpc^3\f$ + * @return the error status + */ + +int harmonic_pk_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double k, + double z, + double * pk_tot, /* pointer to a single number (must be already allocated) */ + double * pk_ic, /* array of argument pk_ic[index_ic1_ic2] + (must be already allocated only if several initial conditions) */ + double * pk_cb_tot, /* same as pk_tot for baryon+CDM part only */ + double * pk_cb_ic /* same as pk_ic for baryon+CDM part only */ + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_pk_at_k_and_z() which is deprecated since v2.8. It will soon be removed. Use fourier_pk_linear_at_k_and_z() instead.\n"); + + class_call(fourier_pks_at_k_and_z(pba, + ppm, + phr->pfo, + pk_linear, + k, + z, + pk_tot, + pk_ic, + pk_cb_tot, + pk_cb_ic), + phr->pfo->error_message, + phr->error_message); + + return _SUCCESS_; +} + +/** + * Non-linear total matter power spectrum for arbitrary redshift. + * + * This function is deprecated since v2.8. Try using fourier_pk_at_z() instead. + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param mode Input: linear or logarithmic + * @param z Input: redshift + * @param output_tot Output: total matter power spectrum P(k) in \f$ Mpc^3\f$ (linear mode), or its logarithms (logarithmic mode) + * @param output_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3\f$ (linear mode), or its logarithms (logarithmic mode) + * @return the error status + */ + +int harmonic_pk_nl_at_z( + struct background * pba, + struct harmonic * phr, + enum linear_or_logarithmic mode, + double z, + double * output_tot, /* array with argument output_tot[index_k] (must be already allocated) */ + double * output_cb_tot + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_pk_nl_at_z() which is deprecated since v2.8. It will soon be removed. Use fourier_pk_at_z() instead.\n"); + + class_call(fourier_pks_at_z(pba, + phr->pfo, + mode, + pk_nonlinear, + z, + output_tot, + NULL, + output_cb_tot, + NULL + ), + phr->pfo->error_message, + phr->error_message); + + return _SUCCESS_; + +} + +/** + * Non-linear total matter power spectrum for arbitrary wavenumber and redshift. + * + * This function is deprecated since v2.8. Try using fourier_pk_at_k_and_z() instead. + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param ppm Input: pointer to primordial structure (used only in the case 0 < k < kmin) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param k Input: wavenumber in 1/Mpc + * @param z Input: redshift + * @param pk_tot Output: total matter power spectrum P(k) in \f$ Mpc^3\f$ + * @param pk_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3\f$ + * @return the error status + */ + +int harmonic_pk_nl_at_k_and_z( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double k, + double z, + double * pk_tot, /* pointer to a single number (must be already allocated) */ + double * pk_cb_tot /* same as pk_tot for baryon+CDM only */ + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_pk_nl_at_k_and_z() which is deprecated since v2.8. It will soon be removed. Use fourier_pk_at_k_and_z() instead.\n"); + + class_call(fourier_pks_at_k_and_z(pba, + ppm, + phr->pfo, + pk_nonlinear, + k, + z, + pk_tot, + NULL, + pk_cb_tot, + NULL + ), + phr->pfo->error_message, + phr->error_message); + + return _SUCCESS_; + +} + +/** + * Return the P(k,z) for a grid of (k_i,z_j) passed in input, + * for all available pk types (_m, _cb), + * either linear or nonlinear depending on input. + * + * This function is deprecated since v2.8. Try using fourier_pks_at_kvec_and_zvec() instead. + * + * @param pba Input: pointer to background structure + * @param phr Input: pointer to harmonic structure + * @param kvec Input: array of wavenumbers in ascending order (in 1/Mpc) + * @param kvec_size Input: size of array of wavenumbers + * @param zvec Input: array of redshifts in arbitrary order + * @param zvec_size Input: size of array of redshifts + * @param pk_tot_out Output: P(k_i,z_j) for total matter (if available) in Mpc**3 + * @param pk_cb_tot_out Output: P_cb(k_i,z_j) for cdm+baryons (if available) in Mpc**3 + * @param nonlinear Input: _TRUE_ or _FALSE_ (to output nonlinear or linear P(k,z)) + * @return the error status + */ + +int harmonic_fast_pk_at_kvec_and_zvec( + struct background * pba, + struct harmonic * phr, + double * kvec, + int kvec_size, + double * zvec, + int zvec_size, + double * pk_tot_out, // pk_tot_out[index_zvec*kvec_size+index_kvec], + // already allocated + //(or NULL if user knows there is no _m output) + double * pk_cb_tot_out, // idem + int nonlinear + ) { + enum pk_outputs pk_output; + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_fast_pks_at_kvec_and_zvec() which is deprecated since v2.8. It will soon be removed. Use fourier_pk_at_kvec_and_zvec() instead.\n"); + + if (nonlinear == _TRUE_) + pk_output = pk_nonlinear; + else + pk_output = pk_linear; + + class_call(fourier_pks_at_kvec_and_zvec( + pba, + phr->pfo, + pk_output, + kvec, + kvec_size, + zvec, + zvec_size, + pk_tot_out, + pk_cb_tot_out), + phr->pfo->error_message, + phr->error_message); + + return _SUCCESS_; +} + +/** + * This routine computes sigma(R) given P(k) for total matter power + * spectrum (does not check that k_max is large enough) + * + * This function is deprecated since v2.8. Try using fourier_sigmas_at_z() instead. + * + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param R Input: radius in Mpc + * @param z Input: redshift + * @param sigma Output: variance in a sphere of radius R (dimensionless) + * @return the error status + */ + +int harmonic_sigma( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double R, + double z, + double * sigma + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_sigma() which is deprecated since v2.8. It will soon be removed. Use fourier_sigmas_at_z() instead.\n"); + + if (phr->pfo->has_pk_m) { + + class_call(fourier_sigma_at_z(pba, + phr->pfo, + R, + z, + phr->pfo->index_pk_m, + 80., // hardcoded, yes, but the function is deprecated... + sigma), + phr->pfo->error_message, + phr->error_message); + + } + + return _SUCCESS_; +} + +/** + * This routine computes sigma(R) given P(k) for baryon+cdm power + * spectrum (does not check that k_max is large enough) + * + * This function is deprecated since v2.8. Try using fourier_sigmas_at_z() instead. + * + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param R Input: radius in Mpc + * @param z Input: redshift + * @param sigma_cb Output: variance in a sphere of radius R (dimensionless) + * @return the error status + */ + +int harmonic_sigma_cb( + struct background * pba, + struct primordial * ppm, + struct harmonic * phr, + double R, + double z, + double * sigma_cb + ) { + + fprintf(stderr," -> [WARNING:] You are calling the function harmonic_sigma_cb() which is deprecated since v2.8. It will soon be removed. Use fourier_sigmas_at_z() instead.\n"); + + if (phr->pfo->has_pk_cb) { + + class_call(fourier_sigma_at_z(pba, + phr->pfo, + R, + z, + phr->pfo->index_pk_cb, + 80., // hardcoded, yes, but the function is deprecated... + sigma_cb), + phr->pfo->error_message, + phr->error_message); + } + + return _SUCCESS_; +} + +/* deprecated functions (since v2.1) */ + +/** + * Obsolete function, superseeded by perturbations_sources_at_tau() + * (at the time of the switch, this function was anyway never used anywhere) + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param z Input: redshift + * @param output Output: matter transfer functions + * @return the error status + */ + +int harmonic_tk_at_z( + struct background * pba, + struct harmonic * phr, + double z, + double * output /* array with argument output[(index_k*phr->ic_size[index_md]+index_ic)*phr->tr_size+index_tr] (must be already allocated) */ + ) { + + + class_stop(phr->error_message, + "The function harmonic_tk_at_z() is obsolete, use instead perturbations_sources_at_z(), it does the same"); + + return _SUCCESS_; + +} + +/** + * Obsolete function, superseeded by perturbations_sources_at_tau() + * (at the time of the switch, this function was anyway never used anywhere) + * + * @param pba Input: pointer to background structure (used for converting z into tau) + * @param phr Input: pointer to harmonic structure (containing pre-computed table) + * @param k Input: wavenumber in 1/Mpc + * @param z Input: redshift + * @param output Output: matter transfer functions + * @return the error status + */ + +int harmonic_tk_at_k_and_z( + struct background * pba, + struct harmonic * phr, + double k, + double z, + double * output /* array with argument output[index_ic*phr->tr_size+index_tr] (must be already allocated) */ + ) { + + class_stop(phr->error_message, + "The function harmonic_tk_at_k_and_z() is obsolete, use instead perturbations_sources_at_k_and_z(), it does the same"); + + return _SUCCESS_; + +} + +/* end deprecated functions */ diff --git a/source/input.c b/source/input.c index 14b4c719..3de62449 100644 --- a/source/input.c +++ b/source/input.c @@ -1,71 +1,139 @@ /** @file input.c Documented input module. * * Julien Lesgourgues, 27.08.2010 + * * internal organization of the module structured and improved by Nils Schoeneberg and Matteo Lucca, 07.03.2019 + * */ #include "input.h" +#include "hi_class.h" + +/* The input module fills variables belonging to the structures of + essentially all other modules. Thus we need to include all the + headers. New in v3.0: These #include fit better here than in + input.h, to avoid complictaed dependencies slowing down + compilation. */ + +#include "quadrature.h" +#include "background.h" +#include "thermodynamics.h" +#include "perturbations.h" +#include "transfer.h" +#include "primordial.h" +#include "harmonic.h" +#include "fourier.h" +#include "lensing.h" +#include "distortions.h" +#include "output.h" /** - * Use this routine to extract initial parameters from files 'xxx.ini' - * and/or 'xxx.pre'. They can be the arguments of the main() routine. + * Initialize input parameters from external file. * - * If class is embedded into another code, you will probably prefer to - * call directly input_init() in order to pass input parameters - * through a 'file_content' structure. + * @param argc Input: Number of command line arguments + * @param argv Input: Command line argument strings + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @param errmsg Input/Output: Error message + * @return the error status */ -int input_init_from_arguments( - int argc, - char **argv, - struct precision * ppr, - struct background *pba, - struct thermo *pth, - struct perturbs *ppt, - struct transfers *ptr, - struct primordial *ppm, - struct spectra *psp, - struct nonlinear * pnl, - struct lensing *ple, - struct output *pop, - ErrorMsg errmsg - ) { +int input_init(int argc, + char **argv, + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + ErrorMsg errmsg){ /** Summary: */ - /** - define local variables */ + /** Define local variables */ + struct file_content fc; // Structure with all parameters + + /** Find and read input file */ + class_call(input_find_file(argc, + argv, + &fc, + errmsg), + errmsg, + errmsg); - struct file_content fc; /** - --> the final structure with all parameters */ - struct file_content fc_input; /** - --> a temporary structure with all input parameters */ - struct file_content fc_precision; /** - --> a temporary structure with all precision parameters */ - struct file_content fc_root; /** - --> a temporary structure with only the root name */ - struct file_content fc_inputroot; /** - --> sum of fc_inoput and fc_root */ - struct file_content * pfc_input; /** - --> a pointer to either fc_root or fc_inputroot */ + /** Initialize all parameters given the input 'file_content' structure. + If its size is null, all parameters take their default values. */ + class_call(input_read_from_file(&fc,ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + errmsg), + errmsg, + errmsg); - char input_file[_ARGUMENT_LENGTH_MAX_]; - char precision_file[_ARGUMENT_LENGTH_MAX_]; - char tmp_file[_ARGUMENT_LENGTH_MAX_+26]; // 26 is enough to extend the file name [...] with the characters "output/[...]%02d_parameters.ini" (as done below) + /** Free local struture */ + class_call(parser_free(&fc), + errmsg, + errmsg); + + return _SUCCESS_; + +} + + +/** + * Find and read external file (xxx.ini or xxx.pre) containing the input + * parameters. All data is stored in the local structure 'file_content'. + * + * @param argc Input: Number of command line arguments + * @param argv Input: Command line argument strings + * @param fc Output: file_content structure + * @param errmsg Input/Output: Error message + * @return the error status + */ + +int input_find_file(int argc, + char **argv, + struct file_content * fc, + ErrorMsg errmsg){ + + /** Summary: */ + + /** Define local variables */ + struct file_content fc_input; // Temporary structure with all input parameters + struct file_content fc_precision; // Temporary structure with all precision parameters + struct file_content * pfc_input; // Pointer to either fc_root or fc_inputroot + struct file_content fc_setroot; // Temporary structure for setroot int i; char extension[5]; - FileArg stringoutput, inifilename; - int flag1, filenum; + char input_file[_ARGUMENT_LENGTH_MAX_]; + char precision_file[_ARGUMENT_LENGTH_MAX_]; pfc_input = &fc_input; - /** - Initialize the two file_content structures (for input - parameters and precision parameters) to some null content. If no - arguments are passed, they will remain null and inform - init_params() that all parameters take default values. */ - - fc.size = 0; + /** Initialize the two file_content structures (for input parameters and + precision parameters) to some null content. If no arguments are passed, + they will remain null and inform input_init that all parameters take + default values. */ + fc->size = 0; fc_input.size = 0; fc_precision.size = 0; input_file[0]='\0'; precision_file[0]='\0'; - /** - If some arguments are passed, identify eventually some 'xxx.ini' - and 'xxx.pre' files, and store their name. */ - + /** If some arguments are passed, identify eventually some 'xxx.ini' and + 'xxx.pre' files, and store their name. */ if (argc > 1) { for (i=1; i' */ + if (flag1 == _FALSE_){ + memcpy(outfname, "output/", 7); + memcpy(outfname+7, input_file, strlen(input_file)-4); + outfname[7+strlen(input_file)-4] = '\0'; + } + /* Check here for the index of the 'root' field in case it was set in fc_input */ + else{ + for (index_root_in_fc_input=0;index_root_in_fc_inputsize;++index_root_in_fc_input){ + if (strcmp(pfc->name[index_root_in_fc_input],"root") == 0){ + strcpy(outfname,pfc->value[index_root_in_fc_input]); break; } + } + } + + /** If we don't want to overwrite the root name, check now for the existence of output for the given root name + N */ + if (overwrite_root == _FALSE_){ + + /* Assume files exist, until proven otherwise */ + found_filenum = _TRUE_; + /** For each 'filenum', test if it exists. Only stop if it has not been found. */ + for (filenum = 0; filenum < _N_FILEROOT_ && found_filenum; filenum++){ + /* No file has been found yet */ + found_filenum = _FALSE_; + for (iextens = 0; iextens < n_extensions; ++iextens){ + class_sprintf(tmp_file,"%s%02d_%s", outfname, filenum, output_extensions[iextens]); + if (file_exists(tmp_file) == _TRUE_){ + /* Found a file, the outer loop is forced to keep searching */ + found_filenum = _TRUE_; + } + } + /* Didn't find a file. This is the correct number. Break the loop. */ + if (found_filenum == _FALSE_){ + break; + } + } + /* If no root was found, add root through the parser routine */ + if (flag1 == _FALSE_){ class_call(parser_init(&fc_root, 1, - fc_input.filename, + pfc->filename, errmsg), errmsg,errmsg); - sprintf(fc_root.name[0],"root"); - sprintf(fc_root.value[0],"output/%s%02d_",inifilename,filenum); + class_sprintf(fc_root.name[0],"root"); + class_sprintf(fc_root.value[0],"%s%02d_",outfname,filenum); fc_root.read[0] = _FALSE_; - class_call(parser_cat(&fc_input,&fc_root,&fc_inputroot,errmsg), + class_call(parser_cat(pfc, + &fc_root, + pfc_setroot, + errmsg), + errmsg, + errmsg); + class_call(parser_free(pfc), + errmsg, + errmsg); + class_call(parser_free(&fc_root), errmsg, errmsg); - class_call(parser_free(&fc_input),errmsg,errmsg); - class_call(parser_free(&fc_root),errmsg,errmsg); - pfc_input = &fc_inputroot; + (*ppfc_input) = pfc_setroot; + } + /* If root was found, set the index in the fc_input struct */ + else{ + class_sprintf(pfc->value[index_root_in_fc_input],"%s%02d_",outfname,filenum); + (*ppfc_input) = pfc; } } - /** - if there is an 'xxx.pre' file, read it and store its content. */ + /** If we do want to overwrite, just take the given root name */ + else{ + /* If no root was found, add root through the parser routine */ + if (flag1 == _FALSE_){ + class_call(parser_init(&fc_root, + 1, + pfc->filename, + errmsg), + errmsg,errmsg); + class_sprintf(fc_root.name[0],"root"); + class_sprintf(fc_root.value[0],"%s_",outfname); + fc_root.read[0] = _FALSE_; + class_call(parser_cat(pfc, + &fc_root, + pfc_setroot, + errmsg), + errmsg, + errmsg); + class_call(parser_free(pfc), + errmsg, + errmsg); + class_call(parser_free(&fc_root), + errmsg, + errmsg); + (*ppfc_input) = pfc_setroot; + } + /* If root was found, set the index in the fc_input struct */ + else{ + class_sprintf(pfc->value[index_root_in_fc_input],"%s_",outfname); + (*ppfc_input) = pfc; + } + } - if (precision_file[0] != '\0') + return _SUCCESS_; +} - class_call(parser_read_file(precision_file,&fc_precision,errmsg), - errmsg, - errmsg); - /** - if one or two files were read, merge their contents in a - single 'file_content' structure. */ - if ((input_file[0]!='\0') || (precision_file[0]!='\0')) +/** + * Initialize each parameter, first to its default values, and then + * from what can be interpreted from the values passed in the input + * 'file_content' structure. If its size is null, all parameters keep + * their default values. + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @param errmsg Input/Output: Error message + * @return the error status + */ - class_call(parser_cat(pfc_input,&fc_precision,&fc,errmsg), - errmsg, - errmsg); +int input_read_from_file(struct file_content * pfc, + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + ErrorMsg errmsg) { - class_call(parser_free(pfc_input),errmsg,errmsg); - class_call(parser_free(&fc_precision),errmsg,errmsg); - /** - Finally, initialize all parameters given the input 'file_content' - structure. If its size is null, all parameters take their - default values. */ + /** Summary: */ + + /** - Define local variables */ + int input_verbose = 0; + int has_shooting; + + /** Set default values + Before getting into the assignment of parameters and the shooting, we want + to already fix our precision parameters. No precision parameter should + depend on any input parameter */ + class_call(input_read_precisions(pfc,ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + errmsg), + errmsg, + errmsg); + + class_read_int("input_verbose",input_verbose); + if (input_verbose >0) printf("Reading input parameters\n"); + + /** Find out if shooting necessary and, eventually, shoot and initialize + read parameters */ + class_call(input_shooting(pfc,ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + input_verbose, + &has_shooting, + errmsg), + errmsg, + errmsg); - class_call(input_init(&fc, - ppr, - pba, - pth, - ppt, - ptr, - ppm, - psp, - pnl, - ple, - pop, - errmsg), + /** If no shooting is necessary, initialize read parameters without it */ + if (has_shooting == _FALSE_){ + class_call(input_read_parameters(pfc,ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + errmsg), + errmsg, + errmsg); + } + + /** Write info on the read/unread parameters. This is the correct place to do it, + since we want it to happen after all the shooting business, + and after the final reading of all parameters */ + class_call(input_write_info(pfc,pop, + errmsg), errmsg, errmsg); - class_call(parser_free(&fc),errmsg,errmsg); + if (pfo->has_pk_eq == _TRUE_) { + + if (input_verbose > 0) { + printf(" -> since you want to use Halofit with a non-zero wa_fld and the Pk_equal method,\n"); + printf(" calling background module to extract the effective w(tau), Omega_m(tau) parameters"); + printf(" required by this method\n"); + } + class_call(input_prepare_pk_eq(ppr,pba,pth,pfo,input_verbose,errmsg), + errmsg, + errmsg); + } + + if (pba->has_smg == _TRUE_) { + class_call( + input_warnings_smg(ppt, input_verbose), + errmsg, + errmsg + ); + } + return _SUCCESS_; + } + /** - * Initialize each parameter, first to its default values, and then - * from what can be interpreted from the values passed in the input - * 'file_content' structure. If its size is null, all parameters keep - * their default values. + * In CLASS, we call 'shooting' the process of doing preliminary runs + * of parts of the code in order to find numerically the value of an + * input variable which cannot be inferred analytically from other + * input variables passed by the user. * + * A typical example is when the user passes theta_s, the angular + * scale of the sound horizon at decoupling. This quantity be passed + * instead of the hubble parameter h, but only if we run CLASS until + * the thermodynamics module to figure out how h and theta_s relate + * numerically. The code starts from a guess for h, and runs to find + * the corresponding theta_s. It adjusts h, shoots again, and repeats + * this process until it finds some h giving the correct theta_s + * within some tolerance. + * + * This function contains the overall structure to handle these steps. + * + * @param pfc Input/Output: pointer to file content, with input parameters before/after the shooting + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @param input_verbose Input: Verbosity of input + * @param has_shooting Output: do we need shooting? + * @param errmsg Input/Output: Error message + * @return the error status */ -int input_init( - struct file_content * pfc, - struct precision * ppr, - struct background *pba, - struct thermo *pth, - struct perturbs *ppt, - struct transfers *ptr, - struct primordial *ppm, - struct spectra *psp, - struct nonlinear * pnl, - struct lensing *ple, - struct output *pop, - ErrorMsg errmsg - ) { +int input_shooting(struct file_content * pfc, + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + int input_verbose, + int * has_shooting, + ErrorMsg errmsg){ - int flag1; - double param1; - int counter, index_target, i; + /** Summary: */ + + /** Define local variables */ + int flag1, flag2; + double param1, param2; double * unknown_parameter; int unknown_parameters_size; + int counter, index_target, i; int fevals=0; double xzero; - int target_indices[_NUM_TARGETS_]; double *dxdF, *x_inout; - - char string1[_ARGUMENT_LENGTH_MAX_]; - FILE * param_output; - FILE * param_unused; - char param_output_name[_LINE_LENGTH_MAX_]; - char param_unused_name[_LINE_LENGTH_MAX_]; + int target_indices[_NUM_TARGETS_]; + int needs_shooting; + int shooting_failed=_FALSE_; + + /* array of parameters passed by the user for which we need shooting (= target parameters) */ + char * const target_namestrings[] = {"100*theta_s", + "theta_s_100", + "Omega_dcdmdr", + "omega_dcdmdr", + "Omega_scf", + "Omega_ini_dcdm", + "omega_ini_dcdm", + "Omega_smg", + "M2_today_smg"}; + + /* array of corresponding parameters that must be adjusted in order to meet the target (= unknown parameters) */ + char * const unknown_namestrings[] = {"h", /* unknown param for target '100*theta_s' */ + "h", /* unknown param for target 'theta_s_100' */ + "Omega_ini_dcdm", /* unknown param for target 'Omega_dcdmd' */ + "omega_ini_dcdm", /* unknown param for target 'omega_dcdmdr' */ + "scf_shooting_parameter", /* unknown param for target 'Omega_scf' */ + "Omega_dcdmdr", /* unknown param for target 'Omega_ini_dcdm' */ + "omega_dcdmdr", /* unknown param for target 'omega_ini_dcdm' */ + "shooting_parameter_smg", /* unknown param for target 'Omega_smg' */ + "param_shoot_M2_smg"}; /* unknown param for target 'M2_today_smg' */ + + /* for each target, module up to which we need to run CLASS in order + to compute the targetted quantities (not running the whole code + each time to saves a lot of time) */ + enum computation_stage target_cs[] = {cs_thermodynamics, /* computation stage for target '100*theta_s' */ + cs_thermodynamics, /* computation stage for target 'theta_s_100' */ + cs_background, /* computation stage for target 'Omega_dcdmdr' */ + cs_background, /* computation stage for target 'omega_dcdmdr' */ + cs_background, /* computation stage for target 'Omega_scf' */ + cs_background, /* computation stage for target 'Omega_ini_dcdm' */ + cs_background, /* computation stage for target 'omega_ini_dcdm' */ + cs_background, /* computation stage for target 'Omega_smg' */ + cs_background}; /* computation stage for target 'M2_today_smg' */ struct fzerofun_workspace fzw; - /** - * - * These two arrays must contain the strings of names to be searched - * for and the corresponding new parameter */ - char * const target_namestrings[] = {"100*theta_s","Omega_dcdmdr","omega_dcdmdr", - "Omega_scf","Omega_smg","M_pl_today_smg","Omega_ini_dcdm","omega_ini_dcdm","sigma8"}; - char * const unknown_namestrings[] = {"h","Omega_ini_dcdm","Omega_ini_dcdm", - "scf_shooting_parameter","shooting_parameter_smg","param_shoot_M_pl_smg","Omega_dcdmdr","omega_dcdmdr","A_s"}; - enum computation_stage target_cs[] = {cs_thermodynamics, cs_background, cs_background, - cs_background, cs_background, cs_background, cs_background, cs_spectra}; - - int input_verbose = 0, int1, aux_flag, shooting_failed=_FALSE_; - class_read_int("input_verbose",input_verbose); - if (input_verbose >0) printf("Reading input parameters\n"); + *has_shooting=_FALSE_; /* for smg: no tuned parameters yet */ pba->parameters_tuned_smg = _FALSE_; - /** - Do we need to fix unknown parameters? */ + /** Do we need to fix unknown parameters? */ unknown_parameters_size = 0; fzw.required_computation_stage = 0; for (index_target = 0; index_target < _NUM_TARGETS_; index_target++){ - class_call(parser_read_double(pfc, - target_namestrings[index_target], - ¶m1, - &flag1, - errmsg), + class_call(parser_read_double(pfc,target_namestrings[index_target],¶m1,&flag1,errmsg), errmsg, errmsg); if (flag1 == _TRUE_){ - /** - --> input_auxillary_target_conditions() takes care of the case where for - instance Omega_dcdmdr is set to 0.0. - */ - class_call(input_auxillary_target_conditions(pfc, - index_target, - param1, - &aux_flag, - errmsg), - errmsg, errmsg); - if (aux_flag == _TRUE_){ - if(input_verbose > 2) - printf("Found target: %s\n",target_namestrings[index_target]); + /* input_needs_shoting_for_target takes care of the case where, for + instance, Omega_dcdmdr is set to 0.0, and we don't need shooting */ + class_call(input_needs_shooting_for_target(pfc, + index_target, + param1, + &needs_shooting, + errmsg), + errmsg, + errmsg); + + if (needs_shooting == _TRUE_){ target_indices[unknown_parameters_size] = index_target; fzw.required_computation_stage = MAX(fzw.required_computation_stage,target_cs[index_target]); unknown_parameters_size++; } + } } - /** - case with unknown parameters */ + + /** In the case of unknown parameters, start shooting... */ if (unknown_parameters_size > 0) { + /* We need to remember that we shot so we can clean up properly */ + *has_shooting=_TRUE_; + /* Create file content structure with additional entries */ class_call(parser_init(&(fzw.fc), pfc->size+unknown_parameters_size, pfc->filename, errmsg), errmsg,errmsg); + /* Copy input file content to the new file content structure: */ memcpy(fzw.fc.name, pfc->name, pfc->size*sizeof(FileArg)); memcpy(fzw.fc.value, pfc->value, pfc->size*sizeof(FileArg)); @@ -292,6 +623,7 @@ int input_init( class_alloc(fzw.unknown_parameters_index, unknown_parameters_size*sizeof(int), errmsg); + fzw.target_size = unknown_parameters_size; class_alloc(fzw.target_name, fzw.target_size*sizeof(enum target_names), @@ -300,7 +632,7 @@ int input_init( fzw.target_size*sizeof(double), errmsg); - /** - --> go through all cases with unknown parameters: */ + /** Go through all cases with unknown parameters */ for (counter = 0; counter < unknown_parameters_size; counter++){ index_target = target_indices[counter]; class_call(parser_read_double(pfc, @@ -308,24 +640,34 @@ int input_init( ¶m1, &flag1, errmsg), - errmsg, - errmsg); + errmsg, + errmsg); - // store name of target parameter + /* store name of target parameter */ fzw.target_name[counter] = index_target; - // store target value of target parameter + /* store target value of target parameter */ fzw.target_value[counter] = param1; fzw.unknown_parameters_index[counter]=pfc->size+counter; - // substitute the name of the target parameter with the name of the corresponding unknown parameter + /* substitute the name of the target parameter with the name of the + corresponding unknown parameter */ strcpy(fzw.fc.name[fzw.unknown_parameters_index[counter]],unknown_namestrings[index_target]); - //printf("%d, %d: %s\n",counter,index_target,target_namestrings[index_target]); } + /** If there is only one parameter, we use a more efficient Newton method for 1D cases */ if (unknown_parameters_size == 1){ + /* We can do 1 dimensional root finding */ + if (input_verbose > 0) { + fprintf(stdout, + "Computing unknown input parameter '%s' using input parameter '%s'\n", + fzw.fc.name[fzw.unknown_parameters_index[0]], + target_namestrings[fzw.target_name[0]]); + } + /* If shooting fails, postpone error to background module to play nice with MontePython. */ class_call_try(input_find_root(&xzero, &fevals, + ppr->tol_shooting_deltax_rel, &fzw, errmsg), errmsg, @@ -333,53 +675,65 @@ int input_init( shooting_failed=_TRUE_); /* Store xzero */ - sprintf(fzw.fc.value[fzw.unknown_parameters_index[0]],"%e",xzero); + // This needs to be done with enough accuracy. A standard double has a relative + // precision of around 1e-16, so 1e-20 should be good enough for the shooting + class_sprintf(fzw.fc.value[fzw.unknown_parameters_index[0]],"%.20e",xzero); if (input_verbose > 0) { - fprintf(stdout,"Computing unknown input parameters\n"); - fprintf(stdout," -> found %s = %s\n", + fprintf(stdout," -> found '%s = %s'\n", fzw.fc.name[fzw.unknown_parameters_index[0]], fzw.fc.value[fzw.unknown_parameters_index[0]]); } + } + /** Otherwise we do multidimensional shooting */ else{ + + /* We need to do multidimensional root finding */ + if (input_verbose > 0) { + fprintf(stdout,"Computing unknown input parameters\n"); + } + + /* Allocate local variables */ class_alloc(x_inout, sizeof(double)*unknown_parameters_size, errmsg); class_alloc(dxdF, sizeof(double)*unknown_parameters_size, errmsg); - class_call(input_get_guess(x_inout, - dxdF, - &fzw, - errmsg), - errmsg, errmsg); + /* Get the guess for the initial variables */ + class_call(input_get_guess(x_inout, dxdF, &fzw, errmsg), + errmsg, + errmsg); + + /* Use multi-dimensional Newton method */ class_call_try(fzero_Newton(input_try_unknown_parameters, x_inout, dxdF, unknown_parameters_size, - 1e-4, - 1e-6, + ppr->tol_shooting_deltax, + ppr->tol_shooting_deltaF, &fzw, &fevals, errmsg), - errmsg, pba->shooting_error,shooting_failed=_TRUE_); - - if (input_verbose > 0) { - fprintf(stdout,"Computing unknown input parameters\n"); - } + errmsg, + pba->shooting_error, + shooting_failed=_TRUE_); /* Store xzero */ + // This needs to be done with enough accuracy. A standard double has a relative + // precision of around 1e-16, so 1e-20 should be good enough for the shooting for (counter = 0; counter < unknown_parameters_size; counter++){ - sprintf(fzw.fc.value[fzw.unknown_parameters_index[counter]], - "%e",x_inout[counter]); + class_sprintf(fzw.fc.value[fzw.unknown_parameters_index[counter]], + "%.20e",x_inout[counter]); if (input_verbose > 0) { - fprintf(stdout," -> found %s = %s\n", + fprintf(stdout," -> found '%s = %s'\n", fzw.fc.name[fzw.unknown_parameters_index[counter]], fzw.fc.value[fzw.unknown_parameters_index[counter]]); } } + /* Free local variables */ free(x_inout); free(dxdF); } @@ -388,110 +742,149 @@ int input_init( fprintf(stdout,"Shooting completed using %d function evaluations\n",fevals); } - - /** - --> Read all parameters from tuned pfc */ - class_call(input_read_parameters(&(fzw.fc), - ppr, - pba, - pth, - ppt, - ptr, - ppm, - psp, - pnl, - ple, - pop, + /** Read all parameters from the fc obtained through shooting */ + class_call(input_read_parameters(&(fzw.fc),ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, errmsg), errmsg, errmsg); - /** - --> Set status of shooting */ + /** Set status of shooting */ pba->shooting_failed = shooting_failed; + if (pba->shooting_failed == _TRUE_) { + background_free_input(pba); + thermodynamics_free_input(pth); + perturbations_free_input(ppt); + } - /* all parameters read in fzw must be considered as read in - pfc. At the same time the parameters read before in pfc (like - theta_s,...) must still be considered as read (hence we could - not do a memcopy) */ + /* all parameters read in fzw must be considered as read in pfc. At the same + time the parameters read before in pfc (like theta_s,...) must still be + considered as read (hence we could not do a memcopy) */ for (i=0; i < pfc->size; i ++) { if (fzw.fc.read[i] == _TRUE_) pfc->read[i] = _TRUE_; } - // Free tuned pfc + /* Free tuned pfc */ parser_free(&(fzw.fc)); - /** - --> Free arrays allocated*/ + + /** Free arrays allocated */ free(unknown_parameter); free(fzw.unknown_parameters_index); free(fzw.target_name); free(fzw.target_value); } - /** - case with no unknown parameters */ - else{ - - /** - --> just read all parameters from input pfc: */ - class_call(input_read_parameters(pfc, - ppr, - pba, - pth, - ppt, - ptr, - ppm, - psp, - pnl, - ple, - pop, - errmsg), - errmsg, - errmsg); - } - /** - eventually write all the read parameters in a file, unread parameters in another file, and warnings about unread parameters */ - class_call(parser_read_string(pfc,"write parameters",&string1,&flag1,errmsg), + /** After the 'normal' shooting is done, do special shooting just for sigma8 if needed*/ + class_call(parser_read_double(pfc,"sigma8",¶m1,&flag1,errmsg), errmsg, errmsg); + class_call(parser_read_double(pfc,"S8",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'sigma8' or 'S8'."); + if (flag1 == _TRUE_ || flag2 == _TRUE_) { + /* Tell the main function that shooting indeed has occured */ + *has_shooting=_TRUE_; + /* Create file content structure with additional entries */ + class_call(parser_init(&(fzw.fc), + pfc->size+1, + pfc->filename, + errmsg), + errmsg,errmsg); - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { - - sprintf(param_output_name,"%s%s",pop->root,"parameters.ini"); - sprintf(param_unused_name,"%s%s",pop->root,"unused_parameters"); + /* Copy input file content to the new file content structure: */ + memcpy(fzw.fc.name, pfc->name, pfc->size*sizeof(FileArg)); + memcpy(fzw.fc.value, pfc->value, pfc->size*sizeof(FileArg)); + memcpy(fzw.fc.read, pfc->read, pfc->size*sizeof(short)); - class_open(param_output,param_output_name,"w",errmsg); - class_open(param_unused,param_unused_name,"w",errmsg); + fzw.target_size = 1; + class_alloc(fzw.unknown_parameters_index, + 1*sizeof(int), + errmsg); + class_alloc(fzw.target_name, + 1*sizeof(enum target_names), + errmsg); + class_alloc(fzw.target_value, + 1*sizeof(double), + errmsg); - fprintf(param_output,"# List of input/precision parameters actually read\n"); - fprintf(param_output,"# (all other parameters set to default values)\n"); - fprintf(param_output,"# Obtained with CLASS %s (for developers: svn version %s)\n",_VERSION_,_SVN_VERSION_); - fprintf(param_output,"#\n"); - fprintf(param_output,"# This file can be used as the input file of another run\n"); - fprintf(param_output,"#\n"); - - fprintf(param_unused,"# List of input/precision parameters passed\n"); - fprintf(param_unused,"# but not used (just for info)\n"); - fprintf(param_unused,"#\n"); + /* store name of target parameter */ + if (flag1 == _TRUE_) { + fzw.target_name[0] = sigma8; + fzw.target_value[0] = param1; + } + else if (flag2 == _TRUE_) { + fzw.target_name[0] = S8; + fzw.target_value[0] = param2; + } + /* store target value of target parameter */ + fzw.unknown_parameters_index[0]=pfc->size; + fzw.required_computation_stage = cs_nonlinear; + /* substitute the name of the target parameter with the name of the + corresponding unknown parameter */ + strcpy(fzw.fc.name[pfc->size],"A_s"); + + /* Print to the user */ + if (input_verbose > 0) { + fprintf(stdout, + "Computing unknown input parameter '%s' using input parameter '%s'\n", + (flag1 ==_TRUE_?"sigma8":"S8"), + "A_s"); + } - for (i=0; isize; i++) { - if (pfc->read[i] == _TRUE_) - fprintf(param_output,"%s = %s\n",pfc->name[i],pfc->value[i]); - else - fprintf(param_unused,"%s = %s\n",pfc->name[i],pfc->value[i]); + /* Set a guess for A_s from LCDM (doesn't need to be super accurate) */ + double A_s; + if (flag1 == _TRUE_) { + A_s = param1 * 2.43e-9/0.87659; } - fprintf(param_output,"#\n"); + else if (flag2 == _TRUE_) { + A_s = param2 *2.43e-9/0.891; + } + double sigma8_or_S8; + + /* Now run for a single time, get the value of sigma8 (or S8) for the guess*/ + class_call(input_try_unknown_parameters(&A_s, + 1, + &fzw, + &sigma8_or_S8, + errmsg), + errmsg, + errmsg); - fclose(param_output); - fclose(param_unused); - } + A_s = (fzw.target_value[0]/sigma8_or_S8) *(fzw.target_value[0]/sigma8_or_S8) * A_s; //(truesigma/sigma_for_guess)^2 *A_s_for_guess - class_call(parser_read_string(pfc,"write warnings",&string1,&flag1,errmsg), - errmsg, - errmsg); + /* Store the derived value with high enough accuracy */ + class_sprintf(fzw.fc.value[pfc->size],"%.20e",A_s); + if (input_verbose > 0) { + fprintf(stdout," -> found '%s = %s'\n", + fzw.fc.name[pfc->size], + fzw.fc.value[pfc->size]); + } - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { + /* Now read the remaining parameters from the fine tuned fzw into the individual structures */ + class_call(input_read_parameters(&(fzw.fc),ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + errmsg), + errmsg, + errmsg); - for (i=0; isize; i++) { - if (pfc->read[i] == _FALSE_) - fprintf(stdout,"[WARNING: input line not recognized and not taken into account: '%s=%s']\n",pfc->name[i],pfc->value[i]); + /* all parameters read in fzw must be considered as read in pfc. At the same + time the parameters read before in pfc (like theta_s,...) must still be + considered as read (hence we could not do a memcopy) */ + for (i=0; i < pfc->size; i ++) { + if (fzw.fc.read[i] == _TRUE_) + pfc->read[i] = _TRUE_; } + + /* Free tuned pfc */ + parser_free(&(fzw.fc)); + + /** Free arrays allocated */ + free(fzw.unknown_parameters_index); + free(fzw.target_name); + free(fzw.target_value); } /* Now Horndeski should be tuned */ @@ -501,4692 +894,5394 @@ int input_init( } -int input_read_parameters( - struct file_content * pfc, - struct precision * ppr, - struct background *pba, - struct thermo *pth, - struct perturbs *ppt, - struct transfers *ptr, - struct primordial *ppm, - struct spectra *psp, - struct nonlinear * pnl, - struct lensing *ple, - struct output *pop, - ErrorMsg errmsg - ) { - - /** Summary: */ - /** - define local variables */ +/** + * Related to 'shooting': for each target, check whether it is + * sufficient to stick to the default value of the unkown parameter + * (for instance: if the target parameter is a density and the target + * value is zero, the unkown parameter should remain zero like in the + * default) + * + * @param pfc Input: pointer to local structure + * @param target_name Input: list of possible target names + * @param target_value Input: list of possible target values + * @param needs_shooting Output: needs shooting? + * @param errmsg Input/Output: Error message + * @return the error status + */ - int flag1,flag2,flag3,flag4; - double param1,param2,param3,param4; - int N_ncdm=0,n,entries_read; - int int1,fileentries; - double scf_lambda; - double fnu_factor; - double * pointer1; - char string1[_ARGUMENT_LENGTH_MAX_]; - char string2[_ARGUMENT_LENGTH_MAX_]; - double k1=0.; - double k2=0.; - double prr1=0.; - double prr2=0.; - double pii1=0.; - double pii2=0.; - double pri1=0.; - double pri2=0.; - double n_iso=0.; - double f_iso=0.; - double n_cor=0.; - double c_cor=0.; +int input_needs_shooting_for_target(struct file_content * pfc, + enum target_names target_name, + double target_value, + int * needs_shooting, + ErrorMsg errmsg){ - double Omega_tot; + *needs_shooting = _TRUE_; + switch (target_name){ + case Omega_dcdmdr: + case omega_dcdmdr: + case Omega_scf: + case Omega_ini_dcdm: + case omega_ini_dcdm: + /* Check that Omega's or omega's are nonzero: */ + if (target_value == 0.) + *needs_shooting = _FALSE_; + break; + case Omega_smg: + if (target_value == 0.) + *needs_shooting = _FALSE_; + break; + case M2_today_smg: + default: + /* Default is no additional checks */ + *needs_shooting = _TRUE_; + break; + } - int i; + return _SUCCESS_; - double sigma_B; /* Stefan-Boltzmann constant in \f$ W/m^2/K^4 = Kg/K^4/s^3 \f$*/ +} - double rho_ncdm; - double R0,R1,R2,R3,R4; - double PSR0,PSR1,PSR2,PSR3,PSR4; - double HSR0,HSR1,HSR2,HSR3,HSR4; +/** + * Related to 'shooting': Find the root of a one-dimensional + * function. This function starts from a first guess, then uses a few + * steps to bracket the root, and then calls another function to + * actually get the root. + * + * @param xzero Output: root x such that f(x)=0 up to tolerance (f(x) = input_fzerofun_1d) + * @param fevals Output: number of iterations (that is, of CLASS runs) needed to find the root + * @param tol_x_rel Input : Relative tolerance compared to bracket of root that is used to find root. + * @param pfzw Input : pointer to workspace containing targets, unkown parameters and other relevant information + * @param errmsg Input/Output: Error message + * @return the error status + */ - double z_max=0.; - int bin; - int input_verbose=0; +int input_find_root(double *xzero, + int *fevals, + double tol_x_rel, + struct fzerofun_workspace *pfzw, + ErrorMsg errmsg){ - sigma_B = 2. * pow(_PI_,5) * pow(_k_B_,4) / 15. / pow(_h_P_,3) / pow(_c_,2); + /** Summary: */ - /** - set all parameters (input and precision) to default values */ - - class_call(input_default_params(pba, - pth, - ppt, - ptr, - ppm, - psp, - pnl, - ple, - pop), - errmsg, - errmsg); + /** Define local variables */ + double x1, x2, f1, f2, dxdy, dx; + int iter, iter2; + int return_function; - class_call(input_default_precision(ppr), + /** Fisrt we do our guess */ + class_call(input_get_guess(&x1, &dxdy, pfzw, errmsg), errmsg, errmsg); - /** - if entries passed in file_content structure, carefully read - and interpret each of them, and tune the relevant input - parameters accordingly*/ - - class_read_int("input_verbose",input_verbose); - - /** Knowing the gauge from the very beginning is useful (even if - this could be a run not requiring perturbations at all: even in - that case, knowing the gauge is important e.g. for fixing the - sampling in momentum space for non-cold dark matter) */ - - class_call(parser_read_string(pfc,"gauge",&string1,&flag1,errmsg), + class_call(input_fzerofun_1d(x1, pfzw, &f1, errmsg), errmsg, errmsg); - if (flag1 == _TRUE_) { + (*fevals)++; + dx = 1.5*f1*dxdy; - if ((strstr(string1,"newtonian") != NULL) || (strstr(string1,"Newtonian") != NULL) || (strstr(string1,"new") != NULL)) { - ppt->gauge = newtonian; + /** Then we do a linear hunt for the boundaries */ + /* Try fifteen times to go above and below the root (i.e. where shooting succeeds) */ + for (iter=1; iter<=15; iter++){ + x2 = x1 - dx; + /* Try three times to get a 'reasonable' value, i.e. no CLASS error */ + for (iter2=1; iter2 <= 3; iter2++) { + return_function = input_fzerofun_1d(x2, pfzw, &f2, errmsg); + (*fevals)++; + if (return_function ==_SUCCESS_) { + break; + } + else if (iter2 < 3) { + dx*=0.5; + x2 = x1-dx; + } + else { + class_stop(errmsg,errmsg); + } } - - if ((strstr(string1,"synchronous") != NULL) || (strstr(string1,"sync") != NULL) || (strstr(string1,"Synchronous") != NULL)) { - ppt->gauge = synchronous; + if (f1*f2<0.0){ + /* Root has been bracketed */ + break; } + x1 = x2; + f1 = f2; } - /** Main flag for the quasi-static approximation scheme */ + /** Find root using Ridders method (Exchange for bisection if you are old-school) */ + class_call(input_fzero_ridder(input_fzerofun_1d, + x1, + x2, + tol_x_rel*MAX(fabs(x1),fabs(x2)), + pfzw, + &f1, + &f2, + xzero, + fevals, + errmsg), + errmsg,errmsg); - class_call(parser_read_string(pfc,"method_qs_smg",&string1,&flag1,errmsg), - errmsg, - errmsg); + return _SUCCESS_; - if (flag1 == _TRUE_) { +} - if ((strstr(string1,"automatic") != NULL) || (strstr(string1,"a") != NULL) || (strstr(string1,"A") != NULL)) { - ppt->method_qs_smg = automatic; - } +/** + * Related to 'shooting': defines 1d function of which we want to find + * the root during the shooting. The function is simply: "prediction + * of CLASS for a target parameter y given a parameter x - targeted + * value of y" + * + * @param input Input: value of x + * @param pfzw Input: pointer to workspace containing targets, unkown parameters and other relevant information + * @param output Ouput: f(x) = y - y_targeted + * @param error_message Input/Output: Error message + * @return the error status + */ - if ((strstr(string1,"fully_dynamic") != NULL) || (strstr(string1,"fd") != NULL) || (strstr(string1,"FD") != NULL)) { - ppt->method_qs_smg = fully_dynamic; - } +int input_fzerofun_1d(double input, + void* pfzw, + double *output, + ErrorMsg error_message){ - if ((strstr(string1,"quasi_static") != NULL) || (strstr(string1,"qs") != NULL) || (strstr(string1,"QS") != NULL)) { - ppt->method_qs_smg = quasi_static; - } + class_call(input_try_unknown_parameters(&input, + 1, + pfzw, + output, + error_message), + error_message, + error_message); - if ((strstr(string1,"fully_dynamic_debug") != NULL) || (strstr(string1,"fdd") != NULL) || (strstr(string1,"FDD") != NULL)) { - ppt->method_qs_smg = fully_dynamic_debug; - } + return _SUCCESS_; - if ((strstr(string1,"quasi_static_debug") != NULL) || (strstr(string1,"qsd") != NULL) || (strstr(string1,"QSD") != NULL)) { - ppt->method_qs_smg = quasi_static_debug; - } - } +} - /** (a) background parameters */ +/** + * Related to 'shooting': using Ridders' method, return the root x of + * a function f(x) known to lie between x1 and x2, up to some + * tolerance. Note that this function is very generic and could easily + * be moved to the tools (and be used in other modules). + * + * @param func Input: function y=f(x), with arguments: x, pointer to y, and another pointer containing several fixed parameters + * @param x1 Input: lower boundary x1a_today); +int input_fzero_ridder(int (*func)(double x, + void *param, + double *y, + ErrorMsg error_message), + double x1, + double x2, + double xtol, + void *param, + double *Fx1, + double *Fx2, + double *xzero, + int *fevals, + ErrorMsg error_message){ - /** - h (dimensionless) and [\f$ H_0/c\f$] in \f$ Mpc^{-1} = h / 2997.9... = h * 10^5 / c \f$ */ - class_call(parser_read_double(pfc,"H0",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"h",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), - errmsg, - "In input file, you cannot enter both h and H0, choose one"); - if (flag1 == _TRUE_) { - pba->H0 = param1 * 1.e3 / _c_; - pba->h = param1 / 100.; - } - if (flag2 == _TRUE_) { - pba->H0 = param2 * 1.e5 / _c_; - pba->h = param2; - } + /** Summary: */ - /** - Omega_0_g (photons) and T_cmb */ - class_call(parser_read_double(pfc,"T_cmb",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"Omega_g",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"omega_g",¶m3,&flag3,errmsg), - errmsg, - errmsg); - class_test(class_at_least_two_of_three(flag1,flag2,flag3), - errmsg, - "In input file, you can only enter one of T_cmb, Omega_g or omega_g, choose one"); + /** Define local variables */ + int j,MAXIT=1000; + double ans,fh,fl,fm,fnew,s,xh,xl,xm,xnew; - if (class_none_of_three(flag1,flag2,flag3)) { - pba->Omega0_g = (4.*sigma_B/_c_*pow(pba->T_cmb,4.)) / (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); + if ((Fx1!=NULL)&&(Fx2!=NULL)){ + fl = *Fx1; + fh = *Fx2; } - else { - - if (flag1 == _TRUE_) { - /** - Omega0_g = rho_g / rho_c0, each of them expressed in \f$ Kg/m/s^2 \f$*/ - /** - rho_g = (4 sigma_B / c) \f$ T^4 \f$*/ - /** - rho_c0 \f$ = 3 c^2 H_0^2 / (8 \pi G) \f$*/ - pba->Omega0_g = (4.*sigma_B/_c_*pow(param1,4.)) / (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); - pba->T_cmb=param1; - } - - if (flag2 == _TRUE_) { - pba->Omega0_g = param2; - pba->T_cmb=pow(pba->Omega0_g * (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_) / (4.*sigma_B/_c_),0.25); - } + else{ + class_call((*func)(x1, param, &fl, error_message), + error_message, error_message); + class_call((*func)(x2, param, &fh, error_message), + error_message, error_message); - if (flag3 == _TRUE_) { - pba->Omega0_g = param3/pba->h/pba->h; - pba->T_cmb = pow(pba->Omega0_g * (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_) / (4.*sigma_B/_c_),0.25); - } + *fevals = (*fevals)+2; } + if ((fl > 0.0 && fh < 0.0) || (fl < 0.0 && fh > 0.0)) { + xl=x1; + xh=x2; + ans=-1.11e11; + for (j=1;j<=MAXIT;j++) { + xm=0.5*(xl+xh); + class_call((*func)(xm, param, &fm, error_message), + error_message, error_message); + *fevals = (*fevals)+1; + s=sqrt(fm*fm-fl*fh); + if (s == 0.0){ + *xzero = ans; + return _SUCCESS_; + } + xnew=xm+(xm-xl)*((fl >= fh ? 1.0 : -1.0)*fm/s); + if (fabs(xnew-ans) <= xtol) { + *xzero = ans; + return _SUCCESS_; + } - Omega_tot = pba->Omega0_g; - - /** - Omega_0_b (baryons) */ - class_call(parser_read_double(pfc,"Omega_b",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"omega_b",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), - errmsg, - "In input file, you can only enter one of Omega_b or omega_b, choose one"); - if (flag1 == _TRUE_) - pba->Omega0_b = param1; - if (flag2 == _TRUE_) - pba->Omega0_b = param2/pba->h/pba->h; - - Omega_tot += pba->Omega0_b; - - /** - Omega_0_ur (ultra-relativistic species / massless neutrino) */ - - /* (a) try to read N_ur */ - class_call(parser_read_double(pfc,"N_ur",¶m1,&flag1,errmsg), - errmsg, - errmsg); + ans=xnew; + class_call((*func)(ans, param, &fnew, error_message), + error_message, error_message); + *fevals = (*fevals)+1; + if (fnew == 0.0){ + *xzero = ans; + return _SUCCESS_; + } - /* these lines have been added for compatibility with deprecated syntax 'N_eff' instead of 'N_ur', in the future they could be suppressed */ - class_call(parser_read_double(pfc,"N_eff",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), - errmsg, - "In input file, you can only enter one of N_eff (deprecated syntax) or N_ur (up-to-date syntax), since they botgh describe the same, i.e. the contribution ukltra-relativistic species to the effective neutrino number"); - if (flag2 == _TRUE_) { - param1 = param2; - flag1 = _TRUE_; - flag2 = _FALSE_; + if (NRSIGN(fm,fnew) != fm) { + xl=xm; + fl=fm; + xh=ans; + fh=fnew; + } + else if (NRSIGN(fl,fnew) != fl) { + xh=ans; + fh=fnew; + } + else if (NRSIGN(fh,fnew) != fh) { + xl=ans; + fl=fnew; + } + else{ + return _FAILURE_; + } + if (fabs(xh-xl) <= xtol) { + *xzero = ans; + return _SUCCESS_; + } + } + class_stop(error_message,"zriddr exceed maximum iterations"); } - /* end of lines for deprecated syntax */ - - /* (b) try to read Omega_ur */ - class_call(parser_read_double(pfc,"Omega_ur",¶m2,&flag2,errmsg), - errmsg, - errmsg); - /* (c) try to read omega_ur */ - class_call(parser_read_double(pfc,"omega_ur",¶m3,&flag3,errmsg), - errmsg, - errmsg); - - /* (d) infer the unpassed ones from the passed one */ - class_test(class_at_least_two_of_three(flag1,flag2,flag3), - errmsg, - "In input file, you can only enter one of N_eff, Omega_ur or omega_ur, choose one"); - - if (class_none_of_three(flag1,flag2,flag3)) { - pba->Omega0_ur = 3.046*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; - } else { - - if (flag1 == _TRUE_) { - pba->Omega0_ur = param1*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; - } - if (flag2 == _TRUE_) { - pba->Omega0_ur = param2; - } - if (flag3 == _TRUE_) { - pba->Omega0_ur = param3/pba->h/pba->h; - } + if (fl == 0.0) return x1; + if (fh == 0.0) return x2; + class_stop(error_message,"root must be bracketed in zriddr."); } + class_stop(error_message,"Failure in int."); +} - class_call(parser_read_double(pfc,"ceff2_ur",¶m1,&flag1,errmsg), - errmsg, - errmsg); - if (flag1 == _TRUE_) ppt->three_ceff2_ur = 3.*param1; - class_call(parser_read_double(pfc,"cvis2_ur",¶m1,&flag1,errmsg), - errmsg, - errmsg); - if (flag1 == _TRUE_) ppt->three_cvis2_ur = 3.*param1; +/** + * Related to 'shooting': we define here a reasonable analytic guess + * for each unknown parameter as a function of its target + * parameter. We must also estimate dxdy, i.e. how the unknown + * parameter responds to the target parameter. This can simply be + * estimated as the derivative of the guess formula. + * + * @param xguess Output: guess for unkown parameter x given target parameter y + * @param dxdy Output: guess for derivative dx/dy + * @param pfzw Input : pointer to workspace containing targets, unkown parameters and other relevant information + * @param errmsg Input/Output: Error message + * @return the error status + */ - Omega_tot += pba->Omega0_ur; +int input_get_guess(double *xguess, + double *dxdy, + struct fzerofun_workspace * pfzw, + ErrorMsg errmsg){ - /** - Omega_0_cdm (CDM) */ - class_call(parser_read_double(pfc,"Omega_cdm",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"omega_cdm",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), - errmsg, - "In input file, you can only enter one of Omega_cdm or omega_cdm, choose one"); - if (flag1 == _TRUE_) - pba->Omega0_cdm = param1; - if (flag2 == _TRUE_) - pba->Omega0_cdm = param2/pba->h/pba->h; + /** Summary: */ - Omega_tot += pba->Omega0_cdm; + /** Define local variables */ + struct precision pr; /* for precision parameters */ + struct background ba; /* for cosmological background */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ + struct primordial pm; /* for primordial spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ + struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ + struct output op; /* for output files */ + int i; + double Omega_M, a_decay, gamma, Omega0_dcdmdr=1.0; + int index_guess; - /** - Omega_0_dcdmdr (DCDM) */ - class_call(parser_read_double(pfc,"Omega_dcdmdr",¶m1,&flag1,errmsg), + /* Cheat to read only known parameters: */ + pfzw->fc.size -= pfzw->target_size; + + class_call(input_read_precisions(&(pfzw->fc),&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op, + errmsg), errmsg, errmsg); - class_call(parser_read_double(pfc,"omega_dcdmdr",¶m2,&flag2,errmsg), + class_call(input_read_parameters(&(pfzw->fc),&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op, + errmsg), errmsg, errmsg); - class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), - errmsg, - "In input file, you can only enter one of Omega_dcdmdr or omega_dcdmdr, choose one"); - if (flag1 == _TRUE_) - pba->Omega0_dcdmdr = param1; - if (flag2 == _TRUE_) - pba->Omega0_dcdmdr = param2/pba->h/pba->h; - if (pba->Omega0_dcdmdr > 0) { + pfzw->fc.size += pfzw->target_size; - Omega_tot += pba->Omega0_dcdmdr; + /** Estimate dxdy */ + for (index_guess=0; index_guess < pfzw->target_size; index_guess++) { + switch (pfzw->target_name[index_guess]) { + case theta_s: + case theta_s_100: + xguess[index_guess] = 3.54*pow(pfzw->target_value[index_guess],2)-5.455*pfzw->target_value[index_guess]+2.548; + dxdy[index_guess] = (7.08*pfzw->target_value[index_guess]-5.455); + /** Update pb to reflect guess */ + ba.h = xguess[index_guess]; + ba.H0 = ba.h * 1.e5 / _c_; + break; + case Omega_dcdmdr: + Omega_M = ba.Omega0_cdm+ba.Omega0_idm+ba.Omega0_dcdmdr+ba.Omega0_b; + /* * + * This formula is exact in a Matter + Lambda Universe, but only for Omega_dcdm, + * not the combined. + * sqrt_one_minus_M = sqrt(1.0 - Omega_M); + * xguess[index_guess] = pfzw->target_value[index_guess]* + * exp(2./3.*ba.Gamma_dcdm/ba.H0* + * atanh(sqrt_one_minus_M)/sqrt_one_minus_M); + * dxdy[index_guess] = 1.0;//exp(2./3.*ba.Gamma_dcdm/ba.H0*atanh(sqrt_one_minus_M)/sqrt_one_minus_M); + * */ + gamma = ba.Gamma_dcdm/ba.H0; + if (gamma < 1) + a_decay = 1.0; + else + a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); + xguess[index_guess] = pfzw->target_value[index_guess]/a_decay; + dxdy[index_guess] = 1./a_decay; + break; + case omega_dcdmdr: + Omega_M = ba.Omega0_cdm+ba.Omega0_idm+ba.Omega0_dcdmdr+ba.Omega0_b; + gamma = ba.Gamma_dcdm/ba.H0; + if (gamma < 1) + a_decay = 1.0; + else + a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); + xguess[index_guess] = pfzw->target_value[index_guess]/ba.h/ba.h/a_decay; + dxdy[index_guess] = 1./a_decay/ba.h/ba.h; + break; + case Omega_scf: + /* * + * This guess is arbitrary, something nice using WKB should be implemented. + * Version 2 uses a fit + * xguess[index_guess] = 1.77835*pow(ba.Omega0_scf,-2./7.); + * dxdy[index_guess] = -0.5081*pow(ba.Omega0_scf,-9./7.)`; + * Version 3: use attractor solution + * */ + if (ba.scf_tuning_index == 0){ + xguess[index_guess] = sqrt(3.0/ba.Omega0_scf); + dxdy[index_guess] = -0.5*sqrt(3.0)*pow(ba.Omega0_scf,-1.5); + } + else{ + /* Default: take the passed value as xguess and set dxdy to 1. */ + xguess[index_guess] = ba.scf_parameters[ba.scf_tuning_index]; + dxdy[index_guess] = 1.; + } + break; + case omega_ini_dcdm: + Omega0_dcdmdr = 1./(ba.h*ba.h); + case Omega_ini_dcdm: + /* This works since correspondence is Omega_ini_dcdm -> Omega_dcdmdr and + omega_ini_dcdm -> omega_dcdmdr */ + Omega0_dcdmdr *=pfzw->target_value[index_guess]; + Omega_M = ba.Omega0_cdm+ba.Omega0_idm+Omega0_dcdmdr+ba.Omega0_b; + gamma = ba.Gamma_dcdm/ba.H0; + if (gamma < 1) + a_decay = 1.0; + else + a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); + xguess[index_guess] = pfzw->target_value[index_guess]*a_decay; + dxdy[index_guess] = a_decay; + if (gamma > 100) + dxdy[index_guess] *= gamma/100; + break; - /** - Read Omega_ini_dcdm or omega_ini_dcdm */ - class_call(parser_read_double(pfc,"Omega_ini_dcdm",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"omega_ini_dcdm",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), - errmsg, - "In input file, you can only enter one of Omega_ini_dcdm or omega_ini_dcdm, choose one"); - if (flag1 == _TRUE_) - pba->Omega_ini_dcdm = param1; - if (flag2 == _TRUE_) - pba->Omega_ini_dcdm = param2/pba->h/pba->h; + case sigma8: + /* Assume linear relationship between A_s and sigma8 and fix coefficient + according to vanilla LambdaCDM. Should be good enough... */ + xguess[index_guess] = 2.43e-9/0.87659*pfzw->target_value[index_guess]; + dxdy[index_guess] = 2.43e-9/0.87659; + break; + case S8: + /* Assume linear relationship between A_s and S8 and fix coefficient + according to vanilla LambdaCDM. Should be good enough... */ + xguess[index_guess] = 2.43e-9/0.891*pfzw->target_value[index_guess]; + dxdy[index_guess] = 2.43e-9/0.891; + break; - /** - Read Gamma in same units as H0, i.e. km/(s Mpc)*/ - class_read_double("Gamma_dcdm",pba->Gamma_dcdm); - /* Convert to Mpc */ - pba->Gamma_dcdm *= (1.e3 / _c_); + case Omega_smg: + xguess[index_guess] = ba.parameters_smg[ba.tuning_index_smg]; + dxdy[index_guess] = ba.tuning_dxdy_guess_smg; + break; + case M2_today_smg: + xguess[index_guess] = ba.parameters_smg[ba.tuning_index_2_smg]; + dxdy[index_guess] = 1; + } + } + for (i=0; ifc.size; i++) { + pfzw->fc.read[i] = _FALSE_; } - /** - non-cold relics (ncdm) */ - class_read_int("N_ncdm",N_ncdm); - if ((flag1 == _TRUE_) && (N_ncdm > 0)){ - pba->N_ncdm = N_ncdm; - /* Precision parameters for ncdm has to be read now since they are used here:*/ - class_read_double("tol_M_ncdm",ppr->tol_M_ncdm); - class_read_double("tol_ncdm_newtonian",ppr->tol_ncdm_newtonian); - class_read_double("tol_ncdm_synchronous",ppr->tol_ncdm_synchronous); - class_read_double("tol_ncdm_bg",ppr->tol_ncdm_bg); - if (ppt->gauge == synchronous) - ppr->tol_ncdm = ppr->tol_ncdm_synchronous; - if (ppt->gauge == newtonian) - ppr->tol_ncdm = ppr->tol_ncdm_newtonian; + /** - Deallocate everything allocated by input_read_parameters */ + background_free_input(&ba); + thermodynamics_free_input(&th); + perturbations_free_input(&pt); - /* Quadrature modes, 0 is qm_auto. */ - class_read_list_of_integers_or_default("Quadrature strategy",pba->ncdm_quadrature_strategy,0,N_ncdm); - /* Number of momentum bins */ - class_read_list_of_integers_or_default("Number of momentum bins",pba->ncdm_input_q_size,-1,N_ncdm); + return _SUCCESS_; - /* qmax, if relevant */ - class_read_list_of_doubles_or_default("Maximum q",pba->ncdm_qmax,15,N_ncdm); +} - /* Read temperatures: */ - class_read_list_of_doubles_or_default("T_ncdm",pba->T_ncdm,pba->T_ncdm_default,N_ncdm); +/** + * Related to 'shooting': when there is one or more targets, call + * CLASS up to the highest needed computation stage, for a given set + * of unknown parameters; obtain the corresponding target parameters; + * and return the vector of each [target - targeted_value]. + * + * @param unknown_parameter Input: vector of unkownn parameters x + * @param unknown_parameters_size Input: size of this vector + * @param voidpfzw Input: pointer to workspace containing targets, unkown parameters and other relevant information + * @param output Output: vector of target parameters y + * @param errmsg Input/Output: Error message + * @return the error status + */ - /* Read chemical potentials: */ - class_read_list_of_doubles_or_default("ksi_ncdm",pba->ksi_ncdm,pba->ksi_ncdm_default,N_ncdm); +int input_try_unknown_parameters(double * unknown_parameter, + int unknown_parameters_size, + void * voidpfzw, + double * output, + ErrorMsg errmsg){ + /** Summary */ - /* Read degeneracy of each ncdm species: */ - class_read_list_of_doubles_or_default("deg_ncdm",pba->deg_ncdm,pba->deg_ncdm_default,N_ncdm); + /** Define local variables */ + struct precision pr; /* for precision parameters */ + struct background ba; /* for cosmological background */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ + struct primordial pm; /* for primordial spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ + struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ + struct output op; /* for output files */ - /* Read mass of each ncdm species: */ - class_read_list_of_doubles_or_default("m_ncdm",pba->m_ncdm_in_eV,0.0,N_ncdm); + int i; + double rho_dcdm_today, rho_dr_today; + struct fzerofun_workspace * pfzw; + int input_verbose; + int flag; + int param; + short compute_sigma8 = _FALSE_; - /* Read Omega of each ncdm species: */ - class_read_list_of_doubles_or_default("Omega_ncdm",pba->Omega0_ncdm,0.0,N_ncdm); + pfzw = (struct fzerofun_workspace *) voidpfzw; + /** Read input parameters */ + // This needs to be done with enough accuracy. A standard double has a relative + // precision of around 1e-16, so 1e-20 should be good enough for the shooting + for (i=0; i < unknown_parameters_size; i++) { + class_sprintf(pfzw->fc.value[pfzw->unknown_parameters_index[i]],"%.20e",unknown_parameter[i]); + } - /* Read omega of each ncdm species: (Use pba->M_ncdm temporarily)*/ - class_read_list_of_doubles_or_default("omega_ncdm",pba->M_ncdm,0.0,N_ncdm); + class_call(input_read_precisions(&(pfzw->fc),&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op, + errmsg), + errmsg, + errmsg); - /* Check for duplicate Omega/omega entries, missing mass definition and - update pba->Omega0_ncdm:*/ - for(n=0; nM_ncdm holds value of omega */ - if (pba->M_ncdm[n]!=0.0){ - class_test(pba->Omega0_ncdm[n]!=0,errmsg, - "Nonzero values for both Omega and omega for ncdm species %d are specified!",n); - pba->Omega0_ncdm[n] = pba->M_ncdm[n]/pba->h/pba->h; - } - if ((pba->Omega0_ncdm[n]==0.0) && (pba->m_ncdm_in_eV[n]==0.0)) { - /* this is the right place for passing the default value of - the mass (all parameters must have a default value; most of - them are defined in input_default_params{}, but the ncdm mass - is a bit special and there is no better place for setting its - default value). We put an arbitrary value m << 10^-3 eV, - i.e. the ultra-relativistic limit.*/ - pba->m_ncdm_in_eV[n]=1.e-5; - } - } - - /* Check if filenames for interpolation tables are given: */ - class_read_list_of_integers_or_default("use_ncdm_psd_files",pba->got_files,_FALSE_,N_ncdm); + class_call(input_read_parameters(&(pfzw->fc),&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op, + errmsg), + errmsg, + errmsg); - if (flag1==_TRUE_){ - for(n=0,fileentries=0; ngot_files[n] == _TRUE_) fileentries++; - } + class_call(parser_read_int(&(pfzw->fc),"input_verbose",¶m,&flag,errmsg), + errmsg, + errmsg); - if (fileentries > 0) { + if (flag == _TRUE_) + input_verbose = param; + else + input_verbose = 0; - /* Okay, read filenames.. */ - class_call(parser_read_list_of_strings(pfc,"ncdm_psd_filenames", - &entries_read,&(pba->ncdm_psd_files),&flag2,errmsg), - errmsg, - errmsg); - class_test(flag2 == _FALSE_,errmsg, - "Input use_ncdm_files is found, but no filenames found!"); - class_test(entries_read != fileentries,errmsg, - "Number of filenames found, %d, does not match number of _TRUE_ values in use_ncdm_files, %d", - entries_read,fileentries); - } + /** Optimise flags for sigma8 calculation.*/ + for (i=0; i < unknown_parameters_size; i++) { + if (pfzw->target_name[i] == sigma8) { + compute_sigma8 = _TRUE_; } - /* Read (optional) p.s.d.-parameters:*/ - parser_read_list_of_doubles(pfc, - "ncdm_psd_parameters", - &entries_read, - &(pba->ncdm_psd_parameters), - &flag2, - errmsg); + if (pfzw->target_name[i] == S8) { + compute_sigma8 = _TRUE_; + } + } - class_call(background_ncdm_init(ppr,pba), - pba->error_message, - errmsg); + /* Sigma8 depends on linear P(k), so no need to run anything except linear P(k) during shooting */ + if (compute_sigma8 == _TRUE_) { + /* In June 2020 the k_max_for_pk was increased for higher precision, + and in February 2022 the value was converted into a set of two precision parameters */ + pt.k_max_for_pk= + MIN(MAX(pr.k_max_for_pk_sigma8_min, pt.k_max_for_pk), + pr.k_max_for_pk_sigma8_max); + pt.has_pk_matter=_TRUE_; + pt.has_perturbations = _TRUE_; + pt.has_cl_cmb_temperature = _FALSE_; + pt.has_cls = _FALSE_; + pt.has_cl_cmb_polarization = _FALSE_; + pt.has_cl_cmb_lensing_potential = _FALSE_; + pt.has_cl_number_count = _FALSE_; + pt.has_cl_lensing_potential=_FALSE_; + pt.has_density_transfers=_FALSE_; + pt.has_velocity_transfers=_FALSE_; + fo.has_pk_eq=_FALSE_; + fo.method=nl_none; + } - /* We must calculate M from omega or vice versa if one of them is missing. - If both are present, we must update the degeneracy parameter to - reflect the implicit normalization of the distribution function.*/ - for (n=0; n < N_ncdm; n++){ - if (pba->m_ncdm_in_eV[n] != 0.0){ - /* Case of only mass or mass and Omega/omega: */ - pba->M_ncdm[n] = pba->m_ncdm_in_eV[n]/_k_B_*_eV_/pba->T_ncdm[n]/pba->T_cmb; - class_call(background_ncdm_momenta(pba->q_ncdm_bg[n], - pba->w_ncdm_bg[n], - pba->q_size_ncdm_bg[n], - pba->M_ncdm[n], - pba->factor_ncdm[n], - 0., - NULL, - &rho_ncdm, - NULL, - NULL, - NULL), - pba->error_message, - errmsg); - if (pba->Omega0_ncdm[n] == 0.0){ - pba->Omega0_ncdm[n] = rho_ncdm/pba->H0/pba->H0; - } - else{ - fnu_factor = (pba->H0*pba->H0*pba->Omega0_ncdm[n]/rho_ncdm); - pba->factor_ncdm[n] *= fnu_factor; - /* dlnf0dlnq is already computed, but it is - independent of any normalization of f0. - We don't need the factor anymore, but we - store it nevertheless:*/ - pba->deg_ncdm[n] *=fnu_factor; - } - } - else{ - /* Case of only Omega/omega: */ - class_call(background_ncdm_M_from_Omega(ppr,pba,n), - pba->error_message, - errmsg); - //printf("M_ncdm:%g\n",pba->M_ncdm[n]); - pba->m_ncdm_in_eV[n] = _k_B_/_eV_*pba->T_ncdm[n]*pba->M_ncdm[n]*pba->T_cmb; - } - pba->Omega0_ncdm_tot += pba->Omega0_ncdm[n]; - //printf("Adding %g to total Omega..\n",pba->Omega0_ncdm[n]); - } + /** Shoot forward into class up to required stage */ + if (pfzw->required_computation_stage >= cs_background){ + if (input_verbose>2) + printf("Stage 1: background\n"); + ba.background_verbose = 0; + class_call_except(background_init(&pr,&ba), ba.error_message, errmsg, background_free_input(&ba);thermodynamics_free_input(&th);perturbations_free_input(&pt);); } - Omega_tot += pba->Omega0_ncdm_tot; - /** - Omega_0_k (effective fractional density of curvature) */ - class_read_double("Omega_k",pba->Omega0_k); - /** - Set curvature parameter K */ - pba->K = -pba->Omega0_k*pow(pba->a_today*pba->H0,2); - /** - Set curvature sign */ - if (pba->K > 0.) pba->sgnK = 1; - else if (pba->K < 0.) pba->sgnK = -1; + if (pfzw->required_computation_stage >= cs_thermodynamics){ + if (input_verbose>2) + printf("Stage 2: thermodynamics\n"); + pr.thermo_Nz_lin = 10000; + pr.thermo_Nz_log = 500; + th.thermodynamics_verbose = 0; + th.hyrec_verbose = 0; + class_call_except(thermodynamics_init(&pr,&ba,&th), th.error_message, errmsg, background_free(&ba);thermodynamics_free_input(&th);perturbations_free_input(&pt);); + } - /* Omega_0_lambda (cosmological constant), Omega0_fld (dark energy fluid), - Omega0_scf (scalar field), Omega0_smg (scalar modified gravity) */ + if (pfzw->required_computation_stage >= cs_perturbations){ + if (input_verbose>2) + printf("Stage 3: perturbations\n"); + pt.perturbations_verbose = 0; + class_call_except(perturbations_init(&pr,&ba,&th,&pt), pt.error_message, errmsg, thermodynamics_free(&th);background_free(&ba);perturbations_free_input(&pt);); + } - class_call(parser_read_double(pfc,"Omega_Lambda",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"Omega_fld",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"Omega_scf",¶m3,&flag3,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"Omega_smg",¶m4,&flag4,errmsg), - errmsg, - errmsg); - /* Look for Omega_smg_debug if Omega_smg is not specified */ - if (flag4 == _FALSE_){ - class_call(parser_read_double(pfc,"Omega_smg_debug",¶m4,&flag4,errmsg), - errmsg, - errmsg); - if (flag4 == _TRUE_) - pba->Omega_smg_debug = param4; + if (pfzw->required_computation_stage >= cs_primordial){ + if (input_verbose>2) + printf("Stage 4: primordial\n"); + pm.primordial_verbose = 0; + class_call_except(primordial_init(&pr,&pt,&pm), pm.error_message, errmsg, perturbations_free(&pt);thermodynamics_free(&th);background_free(&ba)); } - class_test((flag3 == _TRUE_) && (flag4 == _TRUE_), - errmsg, - "In input file, either Omega_scf or Omega_smg must be zero. It is not possible to have both scalar fields present."); + if (pfzw->required_computation_stage >= cs_nonlinear){ + if (input_verbose>2) + printf("Stage 5: nonlinear\n"); + fo.fourier_verbose = 0; + class_call_except(fourier_init(&pr,&ba,&th,&pt,&pm,&fo), fo.error_message, errmsg, primordial_free(&pm);perturbations_free(&pt);thermodynamics_free(&th);background_free(&ba)); + } - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && ((flag3 == _FALSE_) || (param3 >= 0.)) && (flag4 == _FALSE_), - errmsg, - "In input file, either Omega_Lambda or Omega_fld must be left unspecified, except if Omega_scf is set and <0.0, in which case the contribution from the scalar field will be the free parameter."); + if (pfzw->required_computation_stage >= cs_transfer){ + if (input_verbose>2) + printf("Stage 6: transfer\n"); + tr.transfer_verbose = 0; + class_call_except(transfer_init(&pr,&ba,&th,&pt,&fo,&tr), tr.error_message, errmsg, fourier_free(&fo);primordial_free(&pm);perturbations_free(&pt);thermodynamics_free(&th);background_free(&ba)); + } - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && (flag3 == _FALSE_) && ((flag4 == _FALSE_) || (param4 >= 0.)), - errmsg, - "In input file, either Omega_Lambda or Omega_fld must be left unspecified, except if Omega_smg is set and <0.0, in which case the contribution from the scalar field will be the free parameter."); - - /** - --> (flag3(4) == _FALSE_) || (param3(4) >= 0.) explained: - * it means that either we have not read Omega_scf(smg) so we are ignoring it - * (unlike lambda and fld!) OR we have read it, but it had a - * positive value and should not be used for filling. - * We now proceed in two steps: - * 1) set each Omega0 and add to the total for each specified component. - * 2) go through the components in order {lambda, fld, scf(smg)} and - * fill using first unspecified component. - */ + if (pfzw->required_computation_stage >= cs_spectra){ + if (input_verbose>2) + printf("Stage 7: spectra\n"); + hr.harmonic_verbose = 0; + class_call_except(harmonic_init(&pr,&ba,&pt,&pm,&fo,&tr,&hr),hr.error_message, errmsg, transfer_free(&tr);fourier_free(&fo);primordial_free(&pm);perturbations_free(&pt);thermodynamics_free(&th);background_free(&ba)); + } - /** - Test that the user have not specified Omega_scf(smg) < 0 but left either - Omega_lambda or Omega_fld unspecified:*/ - class_test(((flag1 == _FALSE_)||(flag2 == _FALSE_)) && ((flag3 == _TRUE_) && (param3 < 0.)), - errmsg, - "It looks like you want to fulfil the closure relation sum Omega = 1 using the scalar field (scf), so you have to specify both Omega_lambda and Omega_fld in the .ini file"); - class_test(((flag1 == _FALSE_)||(flag2 == _FALSE_)) && ((flag4 == _TRUE_) && (param4 < 0.)), - errmsg, - "It looks like you want to fulfil the closure relation sum Omega = 1 using the scalar field (smg), so you have to specify both Omega_lambda and Omega_fld in the .ini file"); + /** Get the corresponding shoot variable and put into output */ + for (i=0; i < pfzw->target_size; i++) { + switch (pfzw->target_name[i]) { + case theta_s: + case theta_s_100: + output[i] = 100.*th.rs_rec/th.ra_rec-pfzw->target_value[i]; + break; + case Omega_dcdmdr: + rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; + if (ba.has_dr == _TRUE_) + rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; + else + rho_dr_today = 0.; + output[i] = (rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)-pfzw->target_value[i]; + break; + case omega_dcdmdr: + rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; + if (ba.has_dr == _TRUE_) + rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; + else + rho_dr_today = 0.; + output[i] = (rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)-pfzw->target_value[i]/ba.h/ba.h; + break; + case Omega_scf: + /** In case scalar field is used to fill, pba->Omega0_scf is not equal to pfzw->target_value[i].*/ + output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_scf]/(ba.H0*ba.H0)-ba.Omega0_scf; + break; + case Omega_ini_dcdm: + case omega_ini_dcdm: + rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; + if (ba.has_dr == _TRUE_) + rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; + else + rho_dr_today = 0.; + output[i] = -(rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)+ba.Omega0_dcdmdr; + break; + case sigma8: + output[i] = fo.sigma8[fo.index_pk_m]; + break; + case S8: + output[i] = fo.sigma8[fo.index_pk_m]*sqrt(ba.Omega0_m/0.3); + break; + case Omega_smg: + output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg]/pow(ba.H0,2) - ba.Omega0_smg; + if (input_verbose > 2) + printf(" param[%i] = %e, Omega_smg = %.3e, %.3e, target = %.2e \n",ba.tuning_index_smg, + ba.parameters_smg[ba.tuning_index_smg], + ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg] + /ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_crit], ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg] + /pow(ba.H0,2),output[i]); + break; + case M2_today_smg: + output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_M2_smg] - ba.M2_today_smg; + if (input_verbose > 2) + printf("M2 = %e, want %e, param=%e\n", + ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_M2_smg], + ba.M2_today_smg, + ba.parameters_smg[ba.tuning_index_2_smg] + ); + } + } - /* Step 1 */ - if (flag1 == _TRUE_){ - pba->Omega0_lambda = param1; - Omega_tot += pba->Omega0_lambda; + /** Free structures */ + if (pfzw->required_computation_stage >= cs_spectra){ + class_call(harmonic_free(&hr), hr.error_message, errmsg); } - if (flag2 == _TRUE_){ - pba->Omega0_fld = param2; - Omega_tot += pba->Omega0_fld; + if (pfzw->required_computation_stage >= cs_transfer){ + class_call(transfer_free(&tr), tr.error_message, errmsg); } - if ((flag3 == _TRUE_) && (param3 >= 0.)){ - pba->Omega0_scf = param3; - Omega_tot += pba->Omega0_scf; + if (pfzw->required_computation_stage >= cs_nonlinear){ + class_call(fourier_free(&fo), fo.error_message, errmsg); } - if ((flag4 == _TRUE_) && (param4 >= 0.)){ - pba->Omega0_smg = param4; - Omega_tot += pba->Omega0_smg; + if (pfzw->required_computation_stage >= cs_primordial){ + class_call(primordial_free(&pm), pm.error_message, errmsg); } - /* Step 2 */ - if (flag1 == _FALSE_) { - //Fill with Lambda - pba->Omega0_lambda= 1. - pba->Omega0_k - Omega_tot; - if (input_verbose > 0) printf(" -> matched budget equations by adjusting Omega_Lambda = %e\n",pba->Omega0_lambda); + if (pfzw->required_computation_stage >= cs_perturbations){ + class_call(perturbations_free(&pt), pt.error_message, errmsg); } - else if (flag2 == _FALSE_) { - // Fill up with fluid - pba->Omega0_fld = 1. - pba->Omega0_k - Omega_tot; - if (input_verbose > 0) printf(" -> matched budget equations by adjusting Omega_fld = %e\n",pba->Omega0_fld); + if (pfzw->required_computation_stage >= cs_thermodynamics){ + class_call(thermodynamics_free(&th), th.error_message, errmsg); } - else if ((flag3 == _TRUE_) && (param3 < 0.)){ // Fill up with scalar field - // Fill up with scalar field - pba->Omega0_scf = 1. - pba->Omega0_k - Omega_tot; - if (input_verbose > 0) printf(" -> matched budget equations by adjusting Omega_scf = %e\n",pba->Omega0_scf); + if (pfzw->required_computation_stage >= cs_background){ + class_call(background_free(&ba), ba.error_message, errmsg); } - else if ((flag4 == _TRUE_) && (param4 < 0.)){ - // Fill up with scalar field - pba->Omega0_smg = 1. - pba->Omega0_k - Omega_tot; - if (input_verbose > 0) printf(" -> budget equations require Omega_smg = %e\n",pba->Omega0_smg); + + /** Set filecontent to unread */ + for (i=0; ifc.size; i++) { + pfzw->fc.read[i] = _FALSE_; } - /* - fprintf(stderr,"%e %e %e %e %e\n", - pba->Omega0_lambda, - pba->Omega0_fld, - pba->Omega0_scf, - pba->Omega0_k, - Omega_tot); - */ + /** Free pointers allocated on input if neccessary */ + if (pfzw->required_computation_stage < cs_perturbations) { + /** Some pointers in ppt may not be allocated if has_perturbations is _FALSE_, but this is handled in perturbations_free_input as neccessary. */ + perturbations_free_input(&pt); + } + if (pfzw->required_computation_stage < cs_thermodynamics) { + thermodynamics_free_input(&th); + } + if (pfzw->required_computation_stage < cs_background) { + background_free_input(&ba); + } + return _SUCCESS_; - if (pba->Omega0_fld != 0.) { +} - class_call(parser_read_string(pfc, - "use_ppf", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); +/** + * Initialize the precision parameter structure. + * + * All precision parameters used in the other modules are listed here + * and assigned here a default value. + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbations structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to non-linear structure + * @param ple Input: pointer to lensing structure + * @param pop Input: pointer to output structure + * @param psd Input: pointer to distorsion structure + * @param errmsg Input: Error message + * @return the error status + */ - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - pba->use_ppf = _TRUE_; - class_read_double("c_gamma_over_c_fld",pba->c_gamma_over_c_fld); - } - else { - pba->use_ppf = _FALSE_; - } - } +int input_read_precisions(struct file_content * pfc, + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + ErrorMsg errmsg){ - class_call(parser_read_string(pfc,"fluid_equation_of_state",&string1,&flag1,errmsg), - errmsg, - errmsg); + /** Summary: */ - if (flag1 == _TRUE_) { + /** - Define local variables */ - if ((strstr(string1,"CLP") != NULL) || (strstr(string1,"clp") != NULL)) { - pba->fluid_equation_of_state = CLP; - } + /** - Automatic estimate of machine precision */ + ppr->smallest_allowed_variation = DBL_EPSILON; - else if ((strstr(string1,"EDE") != NULL) || (strstr(string1,"ede") != NULL)) { - pba->fluid_equation_of_state = EDE; - } - - else { - class_stop(errmsg,"incomprehensible input '%s' for the field 'fluid_equation_of_state'",string1); - } - } - - if (pba->fluid_equation_of_state == CLP) { - class_read_double("w0_fld",pba->w0_fld); - class_read_double("wa_fld",pba->wa_fld); - class_read_double("cs2_fld",pba->cs2_fld); - } - - if (pba->fluid_equation_of_state == EDE) { - class_read_double("w0_fld",pba->w0_fld); - class_read_double("Omega_EDE",pba->Omega_EDE); - class_read_double("cs2_fld",pba->cs2_fld); - } - } - - /* Additional SCF parameters: */ - if (pba->Omega0_scf != 0.){ - /** - Read parameters describing scalar field potential */ - class_call(parser_read_list_of_doubles(pfc, - "scf_parameters", - &(pba->scf_parameters_size), - &(pba->scf_parameters), - &flag1, - errmsg), - errmsg,errmsg); - class_read_int("scf_tuning_index",pba->scf_tuning_index); - class_test(pba->scf_tuning_index >= pba->scf_parameters_size, - errmsg, - "Tuning index scf_tuning_index = %d is larger than the number of entries %d in scf_parameters. Check your .ini file.",pba->scf_tuning_index,pba->scf_parameters_size); - /** - Assign shooting parameter */ - class_read_double("scf_shooting_parameter",pba->scf_parameters[pba->scf_tuning_index]); - - scf_lambda = pba->scf_parameters[0]; - if ((fabs(scf_lambda) <3.)&&(pba->background_verbose>1)) - printf("lambda = %e <3 won't be tracking (for exp quint) unless overwritten by tuning function\n",scf_lambda); - - class_call(parser_read_string(pfc, - "attractor_ic_scf", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); - - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - pba->attractor_ic_scf = _TRUE_; - } - else{ - pba->attractor_ic_scf = _FALSE_; - class_test(pba->scf_parameters_size<2, - errmsg, - "Since you are not using attractor initial conditions, you must specify phi and its derivative phi' as the last two entries in scf_parameters. See explanatory.ini for more details."); - pba->phi_ini_scf = pba->scf_parameters[pba->scf_parameters_size-2]; - pba->phi_prime_ini_scf = pba->scf_parameters[pba->scf_parameters_size-1]; - } - } + class_test(ppr->smallest_allowed_variation < 0, + ppr->error_message, + "smallest_allowed_variation = %e < 0", + ppr->smallest_allowed_variation); + + /* Assign the default precision settings (these very concise lines + assign all precision parameters thanks to the macros defined in + macros_precision.h) */ +#define __ASSIGN_DEFAULT_PRECISION__ +#include "precisions.h" +#undef __ASSIGN_DEFAULT_PRECISION__ + + /** Read all precision parameters from input (these very concise + lines parse all precision parameters thanks to the macros + defined in macros_precision.h) */ +#define __PARSE_PRECISION_PARAMETER__ +#include "precisions.h" +#undef __PARSE_PRECISION_PARAMETER__ + + if (pba->has_smg == _TRUE_) { + class_call( + input_readjust_precision_smg(ppr), + errmsg, + errmsg + ); } - if (pba->Omega0_smg != 0.) { - - pba->has_smg = _TRUE_; //default is _FALSE_ - - /** read the model and loop over models to set several flags and variables - * field_evolution_smg: for self-consistent scalar tensor theories, need to evolve the background equations - * M_pl_evolution_smg: for some parameterizations, need to integrate M_pl from alpha_M - * Primary and secondary parameters: The tuning is alway in terms of a value in parameters_smg, therefore - * -> real models: "parameters_smg" to pba->parameters_smg - * -> parameterizations: "parameters_smg" to pba->parameters_2_smg - * "expansion_smg" to pba->parameters_smg - * NOTE: can change class_read_list_of_doubles_or_default <-> class_read_list_of_doubles - * to make it mandatory or allow for default values - */ - - class_call(parser_read_string(pfc,"gravity_model",&string1,&flag1,errmsg), - errmsg, - errmsg); - + return _SUCCESS_; - if (flag1 == _FALSE_) { - printf(" gravity_model not read, default will be used \n"); - } - else { - /** Read tuning parameter and guess for the parameter variation range - * These can be adjusted latter on a model basis - */ - int has_tuning_index_smg, has_dxdy_guess_smg; - - class_read_int("tuning_index_smg",pba->tuning_index_smg); - has_tuning_index_smg = flag1; - - class_read_double("tuning_dxdy_guess_smg",pba->tuning_dxdy_guess_smg); - has_dxdy_guess_smg = flag1; - if (has_dxdy_guess_smg == _FALSE_) - pba->tuning_dxdy_guess_smg = 1; - - /** Loop over the different models - * flag2 keeps track of whether model has been identified - */ - flag2=_FALSE_; - - if (strcmp(string1,"propto_omega") == 0) { - pba->gravity_model_smg = propto_omega; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 5; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strcmp(string1,"propto_scale") == 0) { - pba->gravity_model_smg = propto_scale; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 5; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strcmp(string1,"constant_alphas") == 0) { - pba->gravity_model_smg = constant_alphas; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 5; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strcmp(string1,"eft_alphas_power_law") == 0) { - pba->gravity_model_smg = eft_alphas_power_law; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 8; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strcmp(string1,"eft_gammas_power_law") == 0) { - pba->gravity_model_smg = eft_gammas_power_law; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 8; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strcmp(string1,"eft_gammas_exponential") == 0) { - pba->gravity_model_smg = eft_gammas_exponential; - pba->field_evolution_smg = _FALSE_; - pba->M_pl_evolution_smg = _TRUE_; - flag2=_TRUE_; - pba->parameters_2_size_smg = 8; - class_read_list_of_doubles("parameters_smg",pba->parameters_2_smg,pba->parameters_2_size_smg); - } - - if (strncmp("quintessence", string1, strlen("quintessence")) == 0){ - // Check if gravity_model has quintessence as prefix. - // Add here all variables common to quintessence. - pba->is_quintessence_smg = _TRUE_; - class_read_double("quintessence_w_safe_smg", pba->quintessence_w_safe_smg); - } - - if (strcmp(string1,"quintessence_monomial") == 0) { - pba->gravity_model_smg = quintessence_monomial; - pba->field_evolution_smg = _TRUE_; - pba->is_quintessence_smg = _TRUE_; - flag2=_TRUE_; - - pba->parameters_size_smg = 4; - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - - /* Guess for the parameter variation range. - * - * For the initial parameter one can use: - * - * rho_smg = 1/2*a_ini^-2*phi_prime_ini^2 + V0*3*H0^2/h^2*phi_ini^N - * - * However, for the range of variation it is better to use - * - * Omega = rho_smg/(rho_smg + rho_m) - * - * => dOmega/dx_i = rho_m/(rho_smg+rho_m)^2 drho_smg/dx_i - * => tuning_dxdy_guess_smg = (dOmega/dx_i)^{-1} - * where we use rho_m ~ H_0^2 - * - * drho_smg/dV0 = 10^-7*phi_ini^N - */ - - double N = pba->parameters_smg[0]; - double V0 = pba->parameters_smg[1]; - double phi_prime_ini_smg = pba->parameters_smg[2]; - double phi_ini_smg = pba->parameters_smg[3]; - - double P_ini = pow(phi_ini_smg, N); // V=cte*P(phi) - - double phi_end_guess = fmax(phi_ini_smg,2); //guess the final value of the field - - // class_test( ((abs(N)<1) || (abs(N)>7)), errmsg, "Exponent out of range. N must be a interger in (1,7)-range" ); - - if (has_tuning_index_smg == _FALSE_) - pba->tuning_index_smg = 1; //use V0 for default tuning - - if (has_dxdy_guess_smg == _FALSE_){ - - if(pba->tuning_index_smg == 1){ -// if(phi_ini_smg != 0){ - V0 = pba->Omega0_smg/pow(phi_end_guess,N); - pba->tuning_dxdy_guess_smg = 1./pow(phi_end_guess,N); - pba->parameters_smg[1] = V0; -// } -// else{ -// V0 = pba->Omega0_smg/pow(1.e-40,N); -// pba->tuning_dxdy_guess_smg = 1./pow(1.e-40,N); -// pba->parameters_smg[1] = V0; -// -// } - } - - if(pba->tuning_index_smg == 3){ - phi_ini_smg = pow(pba->Omega0_smg/V0, 1./N); - pba->parameters_smg[3] = phi_ini_smg; - pba->tuning_dxdy_guess_smg = phi_ini_smg/(pba->Omega0_smg)/N; - } - }//end of no has_dxdy_guess_smg - }//end of quintessence_monomial - - - if (strcmp(string1,"quintessence_tracker") == 0) { - pba->gravity_model_smg = quintessence_tracker; - pba->field_evolution_smg = _TRUE_; - pba->is_quintessence_smg = _TRUE_; - flag2=_TRUE_; - - pba->parameters_size_smg = 6; - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - - double K_ini = pba->parameters_smg[0]; - double P_ini = pba->parameters_smg[1]; - double V0 = pba->parameters_smg[2]; - double n = pba->parameters_smg[3]; - double m = pba->parameters_smg[4]; - double lambda = pba->parameters_smg[5]; - - /* Guess for the parameter variation range. - * - * For the initial parameter one can use: - * V = H0^2/h^2* V0 * phi^-n exp(lambda*phi^m) - * - * minimum at phi0 = (n/(lambda*m))^(1/m) - * -> choose V0 ~ V(phi0)~Omega_smg H_0^2 - * - * Initial conditions: see background.c - * - * choose phi_ini so V = P_ini*sqrt(rho_rad) - * choose phi_prime_ini so K = K_ini*sqrt(rho_rad) - * - */ - - double phi_0 = pow(n/lambda/m,1./m); /* minimum of the potential */ - double v_0_guess = (pow(phi_0,-n) * exp(lambda*pow(phi_0,m))); /*V/V0 at the minimum*/ - - if (has_tuning_index_smg == _FALSE_) - pba->tuning_index_smg = 2; //use V0 for default tuning - - if (has_dxdy_guess_smg == _FALSE_){ - if(pba->tuning_index_smg == 2){ - - V0 = 3* pba->h * (pba->Omega0_smg)/v_0_guess; - pba->tuning_dxdy_guess_smg = 3. * pba->h/ (v_0_guess); //*(1-pba->Omega0_smg) -> removed, lead to instability! - pba->parameters_smg[2] = V0; - } - }//end of no has_dxdy_guess_smg - } //end of tracker - - - if (strcmp(string1,"alpha_attractor_canonical") == 0) { - pba->gravity_model_smg = alpha_attractor_canonical; - pba->field_evolution_smg = _TRUE_; - pba->is_quintessence_smg = _TRUE_; - flag2=_TRUE_; - - pba->parameters_size_smg = 6; - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - - class_call(parser_read_string(pfc,"log_10_param_alpha",&string1,&flag1,errmsg), - errmsg, - errmsg); - - if(flag1 == _TRUE_ && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))){ - pba->parameters_smg[2] = pow(10, pba->parameters_smg[2]); - } - - class_call(parser_read_string(pfc,"use_phi_no_f",&string1,&flag1,errmsg), - errmsg, - errmsg); - - if(flag1 == _TRUE_ && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))){ - pba->parameters_smg[1] = pba->parameters_smg[1]/sqrt(pba->parameters_smg[2]); - } - - /* Guess for the parameter variation range. Copied from galileons. - * - * For the initial parameter one can use: - * - * However, for the range of variation it is better to use - * - * Omega = rho_smg/(rho_smg + rho_m) - * - * => dOmega/dx_i = rho_m/(rho_smg+rho_m)^2 drho_smg/dx_i - * => tuning_dxdy_guess_smg = (dOmega/dx_i)^{-1} - * where we use rho_m ~ H_0^2 - * - */ - - //Note: f = phi/sqrt(alpha) - - if (pba->Omega_smg_debug == 0.) { - double phi_prime_ini = pba->parameters_smg[0]; - double f_ini = pba->parameters_smg[1]; - double alpha = pba->parameters_smg[2]; - double c = pba->parameters_smg[3]; - double p = pba->parameters_smg[4]; - double n = pba->parameters_smg[5]; - double x = tanh(f_ini/(sqrt(6))); - double v = alpha* pow(x,p)/pow(1+x, 2*n); // v = V/c^2 - double rho_c = pow(pba->H0, 2); - - - if (has_tuning_index_smg == _FALSE_) - pba->tuning_index_smg = 3; //use V0 for default tuning - - if (has_dxdy_guess_smg == _FALSE_){ - if(pba->tuning_index_smg == 3){ - c = sqrt(pba->Omega0_smg * rho_c / v); - pba->tuning_dxdy_guess_smg = pow((1 + 3*pba->Omega0_smg) * pba->H0,2)/(2*c*v); - pba->parameters_smg[3] = c; - } - }//end of no has_dxdy_guess_smg - }//end Omega_smg_debug - - } //endif alpha_attractor_canonical - - - - if (strcmp(string1,"galileon") == 0) { - pba->gravity_model_smg = galileon; - pba->field_evolution_smg = _TRUE_; - pba->parameters_size_smg = 7; - flag2=_TRUE_; - - /* Galileon dynamics pulls towards the shift-symmetry attractor n = 0 with - * - * n/H0 = xi(c2 - 6c3 xi + 18c4 xi^2 + 5c5 xi^4) - * - * and xi = \dot\phi H /H0^2 - * - * If attractor_ic_smg => n=0 is set in background_initial_conditions - */ - - - /* Guess for the parameter variation range. For the initial parameter one can use - * - * rho_smg*H^2/H_0^4 = c2 xi^2/6 - 2 c3 xi^3 + 15/2 c4 xi^4 + 7/3 c5 xi^5 - * - * (Barreira+ '14 2.22 for z\neq 0), which equals Omega_smg at z=0 only if tuned. - * - * There are three submodels (taken on tracker): - * 1) rogue mode: user sets all (if Omega_smg_debug or NO attractor_ic_smg) - * 2) cubic attractor: c3, xi set for attractor - * 3) quartic/quintic attractor: c3, c4 set xi for attractor - */ - - - // read submodel: remember flag2 used for test over gravity models - class_call(parser_read_string(pfc,"gravity_submodel",&string2,&flag3,errmsg), - errmsg, - errmsg); - - /*1) base galileon, user specifies everything! */ - if (flag3==_FALSE_){ - - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - - } - else {//a submodel is given - - /* temporary allocation, will be rewritten latter - * order is xi, phi, c2, c3, c4, c5 */ - class_alloc(pba->parameters_smg, sizeof(double*)*7,pba->error_message); - double * input_params_gal; //dummy allocation vector - - double xi, c2, c3, c4, c5; - double phi0 = 0, c1 = 0; - - /*2) cubic Galileon in the attractor - * Omega = -c2^3/(6^3 c3^2) and xi = c2/(6c3) - */ - if (strcmp(string2,"cubic") == 0) { - - c2 = -1.; - c3 = -sqrt(-pow(c2/6.,3)/pba->Omega0_smg); - xi = c2/6./c3; - c4 = 0; - c5 = 0; - - }//end of cubic - /* 3) quartic Galileon on the attractor - */ - else if (strcmp(string2,"quartic") == 0) { - - class_read_list_of_doubles("parameters_smg",input_params_gal,1); - xi = input_params_gal[0]; - c2 = -1; - c3 = (4.*pba->Omega0_smg + c2*pow(xi,2))/(2.*pow(xi,3)); - c4 = (6.*pba->Omega0_smg + c2*pow(xi,2))/(9.*pow(xi,4)); - c5 = 0; - - }/* 4) quartic Galileon on the attractor - */ - else if (strcmp(string2,"quintic") == 0) {//Quintic case - - class_read_list_of_doubles("parameters_smg",input_params_gal,2); - xi = input_params_gal[0]; - c2 = -1; - c3 = input_params_gal[1]; - c4 = -(10*pba->Omega0_smg + 3*c2*pow(xi,2) - 8*c3*pow(xi,3))/(9.*pow(xi,4)); - c5 = (4*pba->Omega0_smg + pow(xi,2)*(c2 - 2*c3*xi))/pow(xi,5); - - }//end of quintic - else { - class_test(flag3 == _TRUE_, - errmsg, - "Galileon: you specified a gravity_submodel that could not be identified. \n Options are: cubic, quartic, quintic"); - }; - - /* Set parameters for submodels */ - pba->parameters_smg[0] = xi; - pba->parameters_smg[1] = c1; - pba->parameters_smg[2] = c2; - pba->parameters_smg[3] = c3; - pba->parameters_smg[4] = c4; - pba->parameters_smg[5] = c5; - pba->parameters_smg[6] = phi0; - - }//end of submodels - - - /* default tuning index is 3 */ - if (has_tuning_index_smg == _FALSE_){ - pba->tuning_index_smg = 3; //use c3 for default tuning - //Use the tracker condition for the cubic to define xi_0, in case xi is used as an IC. - pba->tuning_dxdy_guess_smg = 2./pow(pba->parameters_smg[2]/6./pba->parameters_smg[3],3); - //pba->tuning_dxdy_guess_smg = 2./pow(pba->parameters_smg[0],3); // d(c3)/d(Omega_smg) = 2/xi^3 and xi = c2/6./c3; - } - class_test(has_dxdy_guess_smg == _TRUE_ && has_tuning_index_smg == _FALSE_, - errmsg, - "Galileon: you gave dxdy_guess_smg but no tuning_index_smg. You need to give both if you want to tune the model yourself"); - - class_call(parser_read_string(pfc,"attractor_ic_smg",&string1,&flag1,errmsg), - errmsg, - errmsg); - - if(flag1 == _TRUE_ && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))){ - pba->attractor_ic_smg = _TRUE_; - } - else{ - pba->attractor_ic_smg = _FALSE_; - } - - }//end of Galileon - if (strcmp(string1,"brans dicke") == 0 || strcmp(string1,"Brans Dicke") == 0 || strcmp(string1,"brans_dicke") == 0) { - pba->gravity_model_smg = brans_dicke; - pba->field_evolution_smg = _TRUE_; - flag2=_TRUE_; - - pba->parameters_size_smg = 4; - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - pba->parameters_smg[0] = 2*pba->Omega0_smg; - pba->tuning_dxdy_guess_smg = 0.5; - pba->tuning_index_2_smg = 2; - } - -if (strcmp(string1,"nkgb") == 0 || strcmp(string1,"n-kgb") == 0 || strcmp(string1,"N-KGB") == 0 || strcmp(string1,"nKGB") == 0) { - // This is self-accelerating KGB with K=-X and G(X)=1/n g^(2n-1)/2 * X^n - pba->gravity_model_smg = nkgb; - pba->field_evolution_smg = _TRUE_; - if (has_tuning_index_smg == _FALSE_ && pba->Omega_smg_debug == 0){ - pba->tuning_index_smg = 0; //use g for default tuning - } - class_test(has_dxdy_guess_smg == _TRUE_ && has_tuning_index_smg == _FALSE_, - errmsg, - "nKGB: you gave dxdy_guess_smg but no tuning_index_smg. You need to give both if you want to tune the model yourself"); - if(has_dxdy_guess_smg == _FALSE_){ - pba->tuning_dxdy_guess_smg = -0.5; - } - flag2=_TRUE_; - - pba->parameters_size_smg = 3; // g, n, xi0 == rho_DE_0(shift charge)/rho_DE_0(total) - class_read_list_of_doubles("parameters_smg",pba->parameters_smg,pba->parameters_size_smg); - class_test(pba->parameters_smg[1]<=0.5,errmsg,"In n-KGB G(X)=X^n n>1/2 for acceleration. Note that limit n->1/2 is singular and models become badly behaved for n<0.7"); - class_test(pba->parameters_smg[2]>=1.,errmsg,"In n-KGB, Rshift0<1 for positive energy density today."); - class_test(pba->parameters_smg[2]<0.,errmsg,"In n-KGB, Rshift0>=0, or ICs for background can't be set."); } - class_test(flag2==_FALSE_, - errmsg, - "could not identify gravity_theory value, check that it is one of 'propto_omega', 'propto_scale', 'constant_alphas', 'eft_alphas_power_law', 'eft_gammas_power_law', 'eft_gammas_exponential', 'brans_dicke', 'galileon', 'nKGB', 'quintessence_monomial', 'quintessence_tracker', 'alpha_attractor_canonical' ..."); - - }// end of loop over models - - if(pba->field_evolution_smg == _TRUE_){ - - //TODO: include generic stuff for covariant theories - - } - else { //if no self-consistent evolution, need a parameterization for Omega_smg - - class_call(parser_read_string(pfc,"expansion_model",&string1,&flag1,errmsg), - errmsg, - errmsg); - if (flag1 == _FALSE_) - printf("No expansion model specified, will take default one \n"); - - flag2 = _FALSE_; - - //possible expansion histories. Can make tests, etc... - if (strcmp(string1,"lcdm") == 0) { - pba->expansion_model_smg = lcdm; - flag2=_TRUE_; - pba->parameters_size_smg = 1; - pba->rho_evolution_smg=_FALSE_; - class_read_list_of_doubles_or_default("expansion_smg",pba->parameters_smg,0.0,pba->parameters_size_smg); - } - //accept different names - if (strcmp(string1,"wowa") == 0 || strcmp(string1,"w0wa") == 0 || strcmp(string1,"cpl") == 0 ) { - pba->expansion_model_smg = wowa; - flag2=_TRUE_; - pba->parameters_size_smg = 3; - pba->rho_evolution_smg=_FALSE_; - class_read_list_of_doubles_or_default("expansion_smg",pba->parameters_smg,0.0,pba->parameters_size_smg); - } - if (strcmp(string1,"wowa_w") == 0 || strcmp(string1,"w0wa_w") == 0 || strcmp(string1,"cpl_w") == 0 ) { - pba->expansion_model_smg = wowa_w; - flag2=_TRUE_; - pba->parameters_size_smg = 3; - pba->rho_evolution_smg=_TRUE_; - class_read_list_of_doubles_or_default("expansion_smg",pba->parameters_smg,0.0,pba->parameters_size_smg); - } - - - if (strcmp(string1,"wede") == 0) { //ILSWEDE - pba->expansion_model_smg = wede; - flag2=_TRUE_; - pba->parameters_size_smg = 3; - class_read_list_of_doubles_or_default("expansion_smg",pba->parameters_smg,0.0,pba->parameters_size_smg); - // //optimize the guessing BUG: eventually leads to problem in the MCMC, perhaps the guess is too good? - // if(pba->tuning_index_smg == 0){ - // pba->parameters_smg[0] = pba->Omega0_smg; - // } - } - class_test(flag2==_FALSE_, - errmsg, - "could not identify expansion_model value, check that it is either lcdm, wowa, wowa_w, wede ..."); - - } - - /** Other generic specifications: - * - whether stability tests are skipped (skip_stability_tests_smg) or softened (cs2_safe_smg) - * - thresholds for approximations in the cubic Friedmann equation - * - add a value to have better behaved perturbations - * - approximations in the perturbations - */ - - class_read_double("cs2_safe_smg",pba->cs2_safe_smg); - class_read_double("D_safe_smg",pba->D_safe_smg); - class_read_double("ct2_safe_smg",pba->ct2_safe_smg); - class_read_double("M2_safe_smg",pba->M2_safe_smg); - - class_read_double("pert_ic_tolerance_smg",ppr->pert_ic_tolerance_smg); - class_read_double("pert_ic_ini_z_ref_smg",ppr->pert_ic_ini_z_ref_smg); - class_read_double("pert_ic_regulator_smg",ppr->pert_ic_regulator_smg); - class_read_double("pert_qs_ic_tolerance_test_smg",ppr->pert_qs_ic_tolerance_test_smg); - - class_read_double("a_min_stability_test_smg",pba->a_min_stability_test_smg); - - class_read_double("kineticity_safe_smg",pba->kineticity_safe_smg); // minimum value of the kineticity (to avoid trouble) - class_read_double("min_a_pert_smg",ppr->min_a_pert_smg); - - - class_call(parser_read_string(pfc, - "skip_stability_tests_smg", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); - - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - pba->skip_stability_tests_smg = _TRUE_; - } - else{ - pba->skip_stability_tests_smg = _FALSE_; - } - } - - //IC for perturbations - class_call(parser_read_string(pfc, - "pert_initial_conditions_smg", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); - - if (strcmp(string1,"single_clock") == 0) { - ppt->pert_initial_conditions_smg = single_clock; - } - if (strcmp(string1,"gravitating_attr") == 0) { - ppt->pert_initial_conditions_smg = gravitating_attr; - } - if (strcmp(string1,"zero") == 0) { - ppt->pert_initial_conditions_smg = zero; - } - if (strcmp(string1,"kin_only") == 0) { - ppt->pert_initial_conditions_smg = kin_only; - } - if (strcmp(string1,"ext_field_attr") == 0 ){//this is the default - ppt->pert_initial_conditions_smg = ext_field_attr; - } - -// else { -// if (ppt->perturbations_verbose > 1) -// printf(" Initial conditions for Modified gravity perturbations not specified, using default \n"); -// } - - /** re-assign shooting parameter (for no-tuning debug mode) */ - if (pba->Omega_smg_debug == 0) - class_read_double("shooting_parameter_smg",pba->parameters_smg[pba->tuning_index_smg]); - - // test that the tuning is correct - class_test(pba->tuning_index_smg >= pba->parameters_size_smg, - errmsg, - "Tuning index tuning_index_smg = %d is larger than the number of entries %d in parameters_smg. Check your .ini file.", - pba->tuning_index_smg,pba->parameters_size_smg); - - /** Read the desired Planck mass and check that the necessary information is provided. - * if needed re-assign shooting parameter for the Planck mass - */ - flag1==_FALSE_; - class_read_double("M_pl_today_smg",pba->M_pl_today_smg); - if (flag1==_TRUE_){ - - class_test(pba->gravity_model_smg!=brans_dicke, - errmsg, - "You asked to tune M_pl(today) to %e but currently this is only allowed for Brans-Dicke\n", - pba->M_pl_today_smg); - - class_call(parser_read_string(pfc,"normalize_G_NR", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); - - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - double omega_BD = pba->parameters_smg[1]; - pba->M_pl_today_smg = (4.+2.*omega_BD)/(3.+2.*omega_BD); - } - } - - class_read_double("param_shoot_M_pl_smg",pba->parameters_smg[pba->tuning_index_2_smg]); -// printf("updating param = %e to tune M_pl \n",pba->parameters_smg[pba->tuning_index_2_smg]); - } - - }//end of has_smg - /* Hubble dynamics - * TODO: consider making this part of smg only - */ - class_call(parser_read_string(pfc, - "hubble_evolution", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); +/** + * If entries are passed in file_content structure, carefully read and + * interpret each of them, and tune the relevant input parameters + * accordingly + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @param errmsg Input: Error message + * @return the error status + */ - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - pba->hubble_evolution = _TRUE_; - class_read_double("hubble_friction",pba->hubble_friction); - } - else{ - pba->hubble_evolution = _FALSE_; - } - } +int input_read_parameters(struct file_content * pfc, + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + ErrorMsg errmsg){ + /** Summary: */ - /** (b) assign values to thermodynamics cosmological parameters */ + /** Define local variables */ + int input_verbose=0; - /** - primordial helium fraction */ - class_call(parser_read_string(pfc,"YHe",&string1,&flag1,errmsg), + /** Set all input parameters to default values */ + class_call(input_default_params(pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop), errmsg, errmsg); - if (flag1 == _TRUE_) { - - if ((strstr(string1,"BBN") != NULL) || (strstr(string1,"bbn") != NULL)) { - pth->YHe = _BBN_; - } - else { - class_read_double("YHe",pth->YHe); - } - - } + /** Read verbose for input structure */ + class_read_int("input_verbose",input_verbose); - /** - recombination parameters */ - class_call(parser_read_string(pfc,"recombination",&string1,&flag1,errmsg), + /** + * Read the general parameters of the + * background, thermodynamics, and perturbation structures + * This function is exclusively for those parameters, NOT + * related to any physical species + * */ + class_call(input_read_parameters_general(pfc,pba,pth,ppt,psd, + errmsg), errmsg, errmsg); - if (flag1 == _TRUE_) { - - if ((strstr(string1,"HYREC") != NULL) || (strstr(string1,"hyrec") != NULL) || (strstr(string1,"HyRec") != NULL)) { - pth->recombination = hyrec; - } - - } - - /** - reionization parametrization */ - class_call(parser_read_string(pfc,"reio_parametrization",&string1,&flag1,errmsg), + /** Read the parameters for each physical species (has to be called after the general read) */ + class_call(input_read_parameters_species(pfc,ppr,pba,pth,ppt, + input_verbose, + errmsg), errmsg, errmsg); - if (flag1 == _TRUE_) { - flag2=_FALSE_; - if (strcmp(string1,"reio_none") == 0) { - pth->reio_parametrization=reio_none; - flag2=_TRUE_; - } - if (strcmp(string1,"reio_camb") == 0) { - pth->reio_parametrization=reio_camb; - flag2=_TRUE_; - } - if (strcmp(string1,"reio_bins_tanh") == 0) { - pth->reio_parametrization=reio_bins_tanh; - flag2=_TRUE_; - } - if (strcmp(string1,"reio_half_tanh") == 0) { - pth->reio_parametrization=reio_half_tanh; - flag2=_TRUE_; - } - if (strcmp(string1,"reio_many_tanh") == 0) { - pth->reio_parametrization=reio_many_tanh; - flag2=_TRUE_; - } - if (strcmp(string1,"reio_inter") == 0) { - pth->reio_parametrization=reio_inter; - flag2=_TRUE_; - } - - class_test(flag2==_FALSE_, - errmsg, - "could not identify reionization_parametrization value, check that it is one of 'reio_none', 'reio_camb', 'reio_bins_tanh', 'reio_half_tanh', 'reio_many_tanh', 'reio_inter'..."); - } - - /** - reionization parameters if reio_parametrization=reio_camb */ - if ((pth->reio_parametrization == reio_camb) || (pth->reio_parametrization == reio_half_tanh)){ - class_call(parser_read_double(pfc,"z_reio",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"tau_reio",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), - errmsg, - "In input file, you can only enter one of z_reio or tau_reio, choose one"); - if (flag1 == _TRUE_) { - pth->z_reio=param1; - pth->reio_z_or_tau=reio_z; - } - if (flag2 == _TRUE_) { - pth->tau_reio=param2; - pth->reio_z_or_tau=reio_tau; - } - - class_read_double("reionization_exponent",pth->reionization_exponent); - class_read_double("reionization_width",pth->reionization_width); - class_read_double("helium_fullreio_redshift",pth->helium_fullreio_redshift); - class_read_double("helium_fullreio_width",pth->helium_fullreio_width); - - } + /** Read parameters for exotic energy injection quantities */ + class_call(input_read_parameters_injection(pfc,ppr,pth, + errmsg), + errmsg, + errmsg); - /** - reionization parameters if reio_parametrization=reio_bins_tanh */ - if (pth->reio_parametrization == reio_bins_tanh) { - class_read_int("binned_reio_num",pth->binned_reio_num); - class_read_list_of_doubles("binned_reio_z",pth->binned_reio_z,pth->binned_reio_num); - class_read_list_of_doubles("binned_reio_xe",pth->binned_reio_xe,pth->binned_reio_num); - class_read_double("binned_reio_step_sharpness",pth->binned_reio_step_sharpness); - } + /** Read parameters for nonlinear quantities */ + class_call(input_read_parameters_nonlinear(pfc,ppr,pba,pth,ppt,pfo, + input_verbose, + errmsg), + errmsg, + errmsg); - /** - reionization parameters if reio_parametrization=reio_many_tanh */ - if (pth->reio_parametrization == reio_many_tanh) { - class_read_int("many_tanh_num",pth->many_tanh_num); - class_read_list_of_doubles("many_tanh_z",pth->many_tanh_z,pth->many_tanh_num); - class_read_list_of_doubles("many_tanh_xe",pth->many_tanh_xe,pth->many_tanh_num); - class_read_double("many_tanh_width",pth->many_tanh_width); - } + /** Read parameters for primordial quantities */ + class_call(input_read_parameters_primordial(pfc,ppt,ppm, + errmsg), + errmsg, + errmsg); - /** - reionization parameters if reio_parametrization=reio_many_tanh */ - if (pth->reio_parametrization == reio_inter) { - class_read_int("reio_inter_num",pth->reio_inter_num); - class_read_list_of_doubles("reio_inter_z",pth->reio_inter_z,pth->reio_inter_num); - class_read_list_of_doubles("reio_inter_xe",pth->reio_inter_xe,pth->reio_inter_num); - } + /** Read parameters for spectra quantities */ + class_call(input_read_parameters_spectra(pfc,ppr,pba,ppm,ppt,ptr,phr,pop, + errmsg), + errmsg, + errmsg); - /** - energy injection parameters from CDM annihilation/decay */ + /** Read parameters for lensing quantities */ + class_call(input_read_parameters_lensing(pfc,ppr,ppt,ptr,ple, + errmsg), + errmsg, + errmsg); - class_read_double("annihilation",pth->annihilation); + /** Read parameters for distortions quantities */ + class_call(input_read_parameters_distortions(pfc,ppr,psd, + errmsg), + errmsg, + errmsg); - if (pth->annihilation > 0.) { + /** Read obsolete parameters */ + class_call(input_read_parameters_additional(pfc,ppr,pba,pth, + errmsg), + errmsg, + errmsg); - class_read_double("annihilation_variation",pth->annihilation_variation); - class_read_double("annihilation_z",pth->annihilation_z); - class_read_double("annihilation_zmax",pth->annihilation_zmax); - class_read_double("annihilation_zmin",pth->annihilation_zmin); - class_read_double("annihilation_f_halo",pth->annihilation_f_halo); - class_read_double("annihilation_z_halo",pth->annihilation_z_halo); + /** Read parameters for output quantities */ + class_call(input_read_parameters_output(pfc,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop, + errmsg), + errmsg, + errmsg); - class_call(parser_read_string(pfc, - "on the spot", - &(string1), - &(flag1), - errmsg), - errmsg, - errmsg); + return _SUCCESS_; - if (flag1 == _TRUE_) { - if ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)) { - pth->has_on_the_spot = _TRUE_; - } - else { - if ((strstr(string1,"n") != NULL) || (strstr(string1,"N") != NULL)) { - pth->has_on_the_spot = _FALSE_; - } - else { - class_stop(errmsg,"incomprehensible input '%s' for the field 'on the spot'",string1); - } - } - } - } +} - class_read_double("decay",pth->decay); - class_call(parser_read_string(pfc, - "compute damping scale", - &(string1), - &(flag1), - errmsg), - errmsg, - errmsg); +/** + * Read general parameters related to class, including + * - background, thermo, and perturbation quantities NOT associated to + * any particular species + * - calculationary quantities like the gauge/recombination code + * - output options + * + * @param pfc Input: pointer to local structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param psd Input: pointer to distorsion structure + * @param errmsg Input: Error message + * @return the error status + */ - if (flag1 == _TRUE_) { - if ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)) { - pth->compute_damping_scale = _TRUE_; - } - else { - if ((strstr(string1,"n") != NULL) || (strstr(string1,"N") != NULL)) { - pth->compute_damping_scale = _FALSE_; - } - else { - class_stop(errmsg,"incomprehensible input '%s' for the field 'compute damping scale'",string1); - } - } - } +int input_read_parameters_general(struct file_content * pfc, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct distortions * psd, + ErrorMsg errmsg){ - /** (c) define which perturbations and sources should be computed, and down to which scale */ + /** Summary: */ + /** - Define local variables */ + int flag1,flag2; + double param1,param2; + char string1[_ARGUMENT_LENGTH_MAX_]; + char * options_output[33] = {"tCl","pCl","lCl","nCl","dCl","sCl","mPk","mTk","dTk","vTk","sd", + "TCl","PCl","LCl","NCl","DCl","SCl","MPk","MTk","DTk","VTk","Sd", + "TCL","PCL","LCL","NCL","DCL","SCL","MPK","MTK","DTK","VTK","SD"}; + char * options_temp_contributions[10] = {"tsw","eisw","lisw","dop","pol","TSW","EISW","LISW","Dop","Pol"}; + char * options_number_count[8] = {"density","dens","rsd","RSD","lensing","lens","gr","GR"}; + char * options_modes[6] = {"s","v","t","S","V","T"}; + char * options_ics[10] = {"ad","bi","cdi","nid","niv","AD","BI","CDI","NID","NIV"}; + + /* Set local default values */ ppt->has_perturbations = _FALSE_; ppt->has_cls = _FALSE_; + psd->has_distortions = _FALSE_; + /** 1) List of output spectra requested */ + /* Read */ class_call(parser_read_string(pfc,"output",&string1,&flag1,errmsg), errmsg, errmsg); - + /* Complete set of parameters */ if (flag1 == _TRUE_) { - if ((strstr(string1,"tCl") != NULL) || (strstr(string1,"TCl") != NULL) || (strstr(string1,"TCL") != NULL)) { ppt->has_cl_cmb_temperature = _TRUE_; ppt->has_perturbations = _TRUE_; ppt->has_cls = _TRUE_; } - if ((strstr(string1,"pCl") != NULL) || (strstr(string1,"PCl") != NULL) || (strstr(string1,"PCL") != NULL)) { ppt->has_cl_cmb_polarization = _TRUE_; ppt->has_perturbations = _TRUE_; ppt->has_cls = _TRUE_; } - if ((strstr(string1,"lCl") != NULL) || (strstr(string1,"LCl") != NULL) || (strstr(string1,"LCL") != NULL)) { ppt->has_cl_cmb_lensing_potential = _TRUE_; ppt->has_perturbations = _TRUE_; ppt->has_cls = _TRUE_; } - if ((strstr(string1,"nCl") != NULL) || (strstr(string1,"NCl") != NULL) || (strstr(string1,"NCL") != NULL) || (strstr(string1,"dCl") != NULL) || (strstr(string1,"DCl") != NULL) || (strstr(string1,"DCL") != NULL)) { ppt->has_cl_number_count = _TRUE_; ppt->has_perturbations = _TRUE_; ppt->has_cls = _TRUE_; } - if ((strstr(string1,"sCl") != NULL) || (strstr(string1,"SCl") != NULL) || (strstr(string1,"SCL") != NULL)) { ppt->has_cl_lensing_potential=_TRUE_; ppt->has_perturbations = _TRUE_; ppt->has_cls = _TRUE_; } - if ((strstr(string1,"mPk") != NULL) || (strstr(string1,"MPk") != NULL) || (strstr(string1,"MPK") != NULL)) { ppt->has_pk_matter=_TRUE_; ppt->has_perturbations = _TRUE_; - - /*if (pba->Omega0_ncdm_tot != 0.0){ - class_call(parser_read_string(pfc,"pk_only_cdm_bar",&string1,&flag1,errmsg), - errmsg, - errmsg); - if (flag1 == _TRUE_){ - if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ - ppt->pk_only_cdm_bar = _TRUE_; - } - else { - ppt->pk_only_cdm_bar = _FALSE_; - } - } - }*/ - } - if ((strstr(string1,"mTk") != NULL) || (strstr(string1,"MTk") != NULL) || (strstr(string1,"MTK") != NULL) || (strstr(string1,"dTk") != NULL) || (strstr(string1,"DTk") != NULL) || (strstr(string1,"DTK") != NULL)) { ppt->has_density_transfers=_TRUE_; ppt->has_perturbations = _TRUE_; } - if ((strstr(string1,"vTk") != NULL) || (strstr(string1,"VTk") != NULL) || (strstr(string1,"VTK") != NULL)) { ppt->has_velocity_transfers=_TRUE_; ppt->has_perturbations = _TRUE_; } + if ((strstr(string1,"Sd") != NULL) || (strstr(string1,"sd") != NULL) || (strstr(string1,"SD") != NULL)) { + ppt->has_perturbations = _TRUE_; + psd->has_distortions=_TRUE_; + pth->compute_damping_scale=_TRUE_; + } - } - - if (ppt->has_density_transfers == _TRUE_) { - class_call(parser_read_string(pfc,"extra metric transfer functions",&string1,&flag1,errmsg), + /* Test */ + class_call(parser_check_options(string1, options_output, 33, &flag1), errmsg, errmsg); - - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"y") != NULL))) { - ppt->has_metricpotential_transfers = _TRUE_; - } + class_test(flag1==_FALSE_, + errmsg, "The options for output are {'tCl','pCl','lCl','nCl','dCl','sCl','mPk','mTk','dTk','vTk','Sd'}, you entered '%s'",string1); } + /** 1.a) Terms contributing to the temperature spectrum */ if (ppt->has_cl_cmb_temperature == _TRUE_) { - - class_call(parser_read_string(pfc,"temperature contributions",&string1,&flag1,errmsg), + /* Read */ + class_call(parser_read_string(pfc,"temperature_contributions",&string1,&flag1,errmsg), errmsg, errmsg); - - if (flag1 == _TRUE_) { - + /* Compatibility code BEGIN */ + if (flag1 == _FALSE_){ + class_call(parser_read_string(pfc,"temperature contributions",&string1,&flag1,errmsg), + errmsg, + errmsg); + } + /* Compatibility code END */ + /* Complete set of parameters */ + if (flag1 == _TRUE_){ ppt->switch_sw = 0; ppt->switch_eisw = 0; ppt->switch_lisw = 0; ppt->switch_dop = 0; ppt->switch_pol = 0; - - if ((strstr(string1,"tsw") != NULL) || (strstr(string1,"TSW") != NULL)) + if ((strstr(string1,"tsw") != NULL) || (strstr(string1,"TSW") != NULL)){ ppt->switch_sw = 1; - if ((strstr(string1,"eisw") != NULL) || (strstr(string1,"EISW") != NULL)) + } + if ((strstr(string1,"eisw") != NULL) || (strstr(string1,"EISW") != NULL)){ ppt->switch_eisw = 1; - if ((strstr(string1,"lisw") != NULL) || (strstr(string1,"LISW") != NULL)) + } + if ((strstr(string1,"lisw") != NULL) || (strstr(string1,"LISW") != NULL)){ ppt->switch_lisw = 1; - if ((strstr(string1,"dop") != NULL) || (strstr(string1,"Dop") != NULL)) + } + if ((strstr(string1,"dop") != NULL) || (strstr(string1,"Dop") != NULL)){ ppt->switch_dop = 1; - if ((strstr(string1,"pol") != NULL) || (strstr(string1,"Pol") != NULL)) + } + if ((strstr(string1,"pol") != NULL) || (strstr(string1,"Pol") != NULL)){ ppt->switch_pol = 1; - + } + /* Test */ + class_call(parser_check_options(string1, options_temp_contributions, 10, &flag1), + errmsg, + errmsg); + class_test(flag1==_FALSE_, + errmsg, "The options for 'temperature_contributions' are {'tsw','eisw','lisw','dop','pol'}, you entered '%s'",string1); class_test((ppt->switch_sw == 0) && (ppt->switch_eisw == 0) && (ppt->switch_lisw == 0) && (ppt->switch_dop == 0) && (ppt->switch_pol == 0), errmsg, - "In the field 'output', you selected CMB temperature, but in the field 'temperature contributions', you removed all contributions"); - - class_read_double("early/late isw redshift",ppt->eisw_lisw_split_z); + "You specified 'temperature_contributions' as '%s'. It has to contain some of {'tsw','eisw','lisw','dop','pol'}.",string1); + /** 1.a.1) Split value of redshift z at which the isw is considered as late or early */ + /* Read */ + class_read_double("early/late isw redshift",ppt->eisw_lisw_split_z); //Deprecated parameter + class_read_double("early_late_isw_redshift",ppt->eisw_lisw_split_z); } - } - if (ppt->has_cl_number_count == _TRUE_) { - - class_call(parser_read_string(pfc,"number count contributions",&string1,&flag1,errmsg), + /** 1.b) Obsevable number count fluctuation spectrum */ + if (ppt->has_cl_number_count == _TRUE_){ + /* Read */ + class_call(parser_read_string(pfc,"number_count_contributions",&string1,&flag1,errmsg), errmsg, errmsg); - + /* Compatibility code BEGIN */ + if (flag1 == _FALSE_){ + class_call(parser_read_string(pfc,"number count contributions",&string1,&flag1,errmsg), + errmsg, + errmsg); + } + /* Compatibility code END */ + /* Complete set of parameters */ if (flag1 == _TRUE_) { - - if (strstr(string1,"density") != NULL) + if (strstr(string1,"density") != NULL || strstr(string1,"dens") != NULL){ ppt->has_nc_density = _TRUE_; - if (strstr(string1,"rsd") != NULL) + } + if (strstr(string1,"rsd") != NULL || strstr(string1,"RSD") != NULL){ ppt->has_nc_rsd = _TRUE_; - if (strstr(string1,"lensing") != NULL) + } + if (strstr(string1,"lensing") != NULL || strstr(string1,"lens") != NULL){ ppt->has_nc_lens = _TRUE_; - if (strstr(string1,"gr") != NULL) + } + if (strstr(string1,"gr") != NULL || strstr(string1,"GR") != NULL){ ppt->has_nc_gr = _TRUE_; - + } + /* Test */ + class_call(parser_check_options(string1, options_number_count, 8, &flag1), + errmsg, + errmsg); + class_test(flag1==_FALSE_, + errmsg, "The options for 'number_count_contributions' are {'density','rsd','lensing','gr'}, you entered '%s'",string1); class_test((ppt->has_nc_density == _FALSE_) && (ppt->has_nc_rsd == _FALSE_) && (ppt->has_nc_lens == _FALSE_) && (ppt->has_nc_gr == _FALSE_), errmsg, - "In the field 'output', you selected number count Cl's, but in the field 'number count contributions', you removed all contributions"); - + "You specified 'number_count_contributions' as '%s'. It has to contain some of {'density','rsd','lensing','gr'}.",string1); } - else { - /* default: only the density contribution */ + /* Set default value */ ppt->has_nc_density = _TRUE_; } } - if (ppt->has_perturbations == _TRUE_) { + /** 1.c) Transfer function of additional metric fluctuations */ + if (ppt->has_density_transfers == _TRUE_) { + /* Read */ + class_read_flag_or_deprecated("extra_metric_transfer_functions","extra metric transfer functions",ppt->has_metricpotential_transfers); + } - /* perturbed recombination */ - class_call(parser_read_string(pfc, - "perturbed recombination", - &(string1), - &(flag1), - errmsg), - errmsg, - errmsg); + if (ppt->has_perturbations == _TRUE_) { - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { - ppt->has_perturbed_recombination = _TRUE_; - } + /** 2) Perturbed recombination */ + /* Read */ + class_read_flag_or_deprecated("perturbed_recombination","perturbed recombination",ppt->has_perturbed_recombination); - /* modes */ + /** 3) Modes */ + /* Read */ class_call(parser_read_string(pfc,"modes",&string1,&flag1,errmsg), errmsg, errmsg); - + /* Complete set of parameters */ if (flag1 == _TRUE_) { - /* if no modes are specified, the default is has_scalars=_TRUE_; but if they are specified we should reset has_scalars to _FALSE_ before reading */ ppt->has_scalars=_FALSE_; - - if ((strstr(string1,"s") != NULL) || (strstr(string1,"S") != NULL)) + if ((strstr(string1,"s") != NULL) || (strstr(string1,"S") != NULL)){ ppt->has_scalars=_TRUE_; - - if ((strstr(string1,"v") != NULL) || (strstr(string1,"V") != NULL)) + } + if ((strstr(string1,"v") != NULL) || (strstr(string1,"V") != NULL)){ ppt->has_vectors=_TRUE_; - - if ((strstr(string1,"t") != NULL) || (strstr(string1,"T") != NULL)) + } + if ((strstr(string1,"t") != NULL) || (strstr(string1,"T") != NULL)){ ppt->has_tensors=_TRUE_; - + } + /* Test */ + class_call(parser_check_options(string1, options_modes, 6, &flag1), + errmsg, + errmsg); + class_test(flag1==_FALSE_, + errmsg, "The options for 'modes' are {'s','v','t'}, you entered '%s'",string1); class_test(class_none_of_three(ppt->has_scalars,ppt->has_vectors,ppt->has_tensors), errmsg, - "You wrote: modes=%s. Could not identify any of the modes ('s', 'v', 't') in such input",string1); + "You specified 'modes' as '%s'. It has to contain some of {'s','v','t'}.",string1); + } + /* Test */ + if (ppt->has_vectors == _TRUE_){ + class_test((ppt->has_cl_cmb_temperature == _FALSE_) && (ppt->has_cl_cmb_polarization == _FALSE_), + errmsg, + "Inconsistent input: you asked for vectors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); + } + if (ppt->has_tensors == _TRUE_){ + class_test((ppt->has_cl_cmb_temperature == _FALSE_) && (ppt->has_cl_cmb_polarization == _FALSE_), + errmsg, + "Inconsistent input: you asked for tensors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); } + /** 3.a) List of initial conditions for scalars */ if (ppt->has_scalars == _TRUE_) { - + /* Read */ class_call(parser_read_string(pfc,"ic",&string1,&flag1,errmsg), errmsg, errmsg); - + /* Complete set of parameters */ if (flag1 == _TRUE_) { - /* if no initial conditions are specified, the default is has_ad=_TRUE_; but if they are specified we should reset has_ad to _FALSE_ before reading */ ppt->has_ad=_FALSE_; - - if ((strstr(string1,"ad") != NULL) || (strstr(string1,"AD") != NULL)) + if ((strstr(string1,"ad") != NULL) || (strstr(string1,"AD") != NULL)){ ppt->has_ad=_TRUE_; - - if ((strstr(string1,"bi") != NULL) || (strstr(string1,"BI") != NULL)) + } + if ((strstr(string1,"bi") != NULL) || (strstr(string1,"BI") != NULL)){ ppt->has_bi=_TRUE_; - - if ((strstr(string1,"cdi") != NULL) || (strstr(string1,"CDI") != NULL)) + } + if ((strstr(string1,"cdi") != NULL) || (strstr(string1,"CDI") != NULL)){ ppt->has_cdi=_TRUE_; - - if ((strstr(string1,"nid") != NULL) || (strstr(string1,"NID") != NULL)) + } + if ((strstr(string1,"nid") != NULL) || (strstr(string1,"NID") != NULL)){ ppt->has_nid=_TRUE_; - - if ((strstr(string1,"niv") != NULL) || (strstr(string1,"NIV") != NULL)) + } + if ((strstr(string1,"niv") != NULL) || (strstr(string1,"NIV") != NULL)){ ppt->has_niv=_TRUE_; - + } + /* Test */ + class_call(parser_check_options(string1, options_ics, 10, &flag1), + errmsg, + errmsg); + class_test(flag1==_FALSE_, + errmsg, "The options for 'ic' are {'ad','bi','cdi','nid','niv'}, you entered '%s'",string1); class_test(ppt->has_ad==_FALSE_ && ppt->has_bi ==_FALSE_ && ppt->has_cdi ==_FALSE_ && ppt->has_nid ==_FALSE_ && ppt->has_niv ==_FALSE_, errmsg, - "You wrote: ic=%s. Could not identify any of the initial conditions ('ad', 'bi', 'cdi', 'nid', 'niv') in such input",string1); - + "You specified 'ic' as '%s'. It has to contain some of {'ad','bi','cdi','nid','niv'}.",string1); } } - else { - + /* Test */ class_test(ppt->has_cl_cmb_lensing_potential == _TRUE_, errmsg, "Inconsistency: you want C_l's for cmb lensing potential, but no scalar modes\n"); - + class_test(ppt->has_cl_number_count == _TRUE_, + errmsg, + "Inconsistency: you want C_l's for number count, but no scalar modes\n"); + class_test(ppt->has_cl_lensing_potential == _TRUE_, + errmsg, + "Inconsistency: you want C_l's for cosmic shear, but no scalar modes\n"); class_test(ppt->has_pk_matter == _TRUE_, errmsg, "Inconsistency: you want P(k) of matter, but no scalar modes\n"); - + class_test(ppt->has_density_transfers == _TRUE_, + errmsg, + "Inconsistency: you want density transfer functions, but no scalar modes\n"); + class_test(ppt->has_velocity_transfers == _TRUE_, + errmsg, + "Inconsistency: you want density transfer functions, but no scalar modes\n"); } - if (ppt->has_vectors == _TRUE_){ - - class_test((ppt->has_cl_cmb_temperature == _FALSE_) && (ppt->has_cl_cmb_polarization == _FALSE_), + /** 3.b) List of initial conditions for scalars */ + if (ppt->has_tensors == _TRUE_) { + /* Read */ + class_call(parser_read_string(pfc,"tensor_method",&string1,&flag1,errmsg), errmsg, - "inconsistent input: you asked for vectors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); + errmsg); + /* Compatibility code BEGIN */ + if (flag1 == _FALSE_){ + class_call(parser_read_string(pfc,"tensor method",&string1,&flag1,errmsg), + errmsg, + errmsg); + } + /* Compatibility code END */ + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if (strstr(string1,"photons") != NULL){ + ppt->tensor_method = tm_photons_only; + } + else if (strstr(string1,"massless") != NULL){ + ppt->tensor_method = tm_massless_approximation; + } + else if (strstr(string1,"exact") != NULL){ + ppt->tensor_method = tm_exact; + } + else{ + class_stop(errmsg,"incomprehensible input '%s' for the field 'tensor_method'",string1); + } + } + } + } + + /** 4) Gauge */ + /** 4.a) Set gauge */ + /* Read */ + class_call(parser_read_string(pfc,"gauge",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if ((strstr(string1,"newtonian") != NULL) || (strstr(string1,"Newtonian") != NULL) || (strstr(string1,"new") != NULL)) { + ppt->gauge = newtonian; + } + else if ((strstr(string1,"synchronous") != NULL) || (strstr(string1,"sync") != NULL) || (strstr(string1,"Synchronous") != NULL)) { + ppt->gauge = synchronous; + } + else{ + class_stop(errmsg, + "You specified the gauge as '%s'. It has to be one of {'newtonian','synchronous'}."); } + } - if (ppt->has_tensors == _TRUE_){ + /** 4.b) Do we want density and velocity transfer functions in Nbody gauge? */ + if ((ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)){ + + /* Read */ + class_read_flag_or_deprecated("nbody_gauge_transfer_functions","Nbody gauge transfer functions",ppt->has_Nbody_gauge_transfers); + + } + + /** 5) h in [-] and H_0/c in [1/Mpc = h/2997.9 = h*10^5/c] */ + /* Read */ + class_call(parser_read_double(pfc,"H0",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"h",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'h' or 'H0'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pba->H0 = param1*1.e3/_c_; + pba->h = param1/100.; + } + if (flag2 == _TRUE_){ + pba->H0 = param2*1.e5/_c_; + pba->h = param2; + } - class_test((ppt->has_cl_cmb_temperature == _FALSE_) && (ppt->has_cl_cmb_polarization == _FALSE_), - errmsg, - "inconsistent input: you asked for tensors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); + /** 6) Primordial helium fraction */ + /* Read */ + class_call(parser_read_string(pfc,"YHe",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if ((strstr(string1,"BBN") != NULL) || (strstr(string1,"bbn") != NULL)){ + pth->YHe = _YHE_BBN_; + } + else { + class_read_double("YHe",pth->YHe); } } - /** (d) define the primordial spectrum */ - class_call(parser_read_string(pfc,"P_k_ini type",&string1,&flag1,errmsg), + /** 7) Recombination parameters */ + /* Read */ + class_call(parser_read_string(pfc,"recombination",&string1,&flag1,errmsg), errmsg, errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if ((strstr(string1,"RECFAST") != NULL) || (strstr(string1,"recfast") != NULL) || (strstr(string1,"Recfast") != NULL)){ + pth->recombination = recfast; + } + else if ((strstr(string1,"HYREC") != NULL) || (strstr(string1,"hyrec") != NULL) || (strstr(string1,"HyRec") != NULL)){ + pth->recombination = hyrec; + } + else{ + class_stop(errmsg, + "You specified 'recombination' as '%s'. It has to be one of {'recfast','hyrec'}.",string1); + } + } - if (flag1 == _TRUE_) { - flag2=_FALSE_; - if (strcmp(string1,"analytic_Pk") == 0) { - ppm->primordial_spec_type = analytic_Pk; - flag2=_TRUE_; + /** 7.a) Photo-ionization dependence for recfast */ + /* Read */ + if (pth->recombination == recfast){ + class_call(parser_read_string(pfc,"recfast_photoion_dependence",&string1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_){ + if ((strstr(string1,"Tmat") != NULL) || (strstr(string1,"tmat") != NULL ) || (strstr(string1,"TMAT") !=NULL)){ + pth->recfast_photoion_mode = recfast_photoion_Tmat; + } + else if ((strstr(string1,"Trad") != NULL) || (strstr(string1,"trad") != NULL ) || (strstr(string1,"TRAD") !=NULL)){ + pth->recfast_photoion_mode = recfast_photoion_Trad; + } + else{ + class_stop(errmsg, + "You specified 'recfast_photoion_dependence' as '%s'. It has to be one of {'Tmat','Trad'}.",string1); + } } - if (strcmp(string1,"two_scales") == 0) { - ppm->primordial_spec_type = two_scales; - flag2=_TRUE_; + } + + /** 8) Reionization parametrization */ + /* Read */ + class_call(parser_read_string(pfc,"reio_parametrization",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strcmp(string1,"reio_none") == 0){ + pth->reio_parametrization = reio_none; } - if (strcmp(string1,"inflation_V") == 0) { - ppm->primordial_spec_type = inflation_V; - flag2=_TRUE_; + else if (strcmp(string1,"reio_camb") == 0){ + pth->reio_parametrization = reio_camb; } - if (strcmp(string1,"inflation_H") == 0) { - ppm->primordial_spec_type = inflation_H; - flag2=_TRUE_; + else if (strcmp(string1,"reio_bins_tanh") == 0){ + pth->reio_parametrization = reio_bins_tanh; } - if (strcmp(string1,"inflation_V_end") == 0) { - ppm->primordial_spec_type = inflation_V_end; - flag2=_TRUE_; + else if (strcmp(string1,"reio_half_tanh") == 0){ + pth->reio_parametrization = reio_half_tanh; } - if (strcmp(string1,"external_Pk") == 0) { - ppm->primordial_spec_type = external_Pk; - flag2=_TRUE_; + else if (strcmp(string1,"reio_many_tanh") == 0){ + pth->reio_parametrization = reio_many_tanh; + } + else if (strcmp(string1,"reio_inter") == 0){ + pth->reio_parametrization = reio_inter; + } + else{ + class_stop(errmsg, + "You specified 'reio_parametrization' as '%s'. It has to be one of {'reio_none','reio_camb','reio_bins_tanh','reio_half_tanh','reio_many_tanh','reio_inter'}.",string1); } - class_test(flag2==_FALSE_, - errmsg, - "could not identify primordial spectrum type, check that it is one of 'analytic_pk', 'two_scales', 'inflation_V', 'inflation_H', 'external_Pk'..."); } - class_read_double("k_pivot",ppm->k_pivot); + switch (pth->reio_parametrization) { - if (ppm->primordial_spec_type == two_scales) { + case reio_none: + /* nothing to be read*/ + break; - class_read_double("k1",k1); - class_read_double("k2",k2); - class_test(k1<=0.,errmsg,"enter strictly positive scale k1"); - class_test(k2<=0.,errmsg,"enter strictly positive scale k2"); + /** 8.a) Reionization parameters if reio_parametrization=reio_camb */ + case reio_camb: + case reio_half_tanh: + /* Read */ + class_call(parser_read_double(pfc,"z_reio",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"tau_reio",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_read_double("reionization_exponent",pth->reionization_exponent); + class_read_double("reionization_width",pth->reionization_width); + class_read_double("helium_fullreio_redshift",pth->helium_fullreio_redshift); + class_read_double("helium_fullreio_width",pth->helium_fullreio_width); + /* Test */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'z_reio' or 'tau_reio'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pth->z_reio=param1; + pth->reio_z_or_tau=reio_z; + } + if (flag2 == _TRUE_){ + pth->tau_reio=param2; + pth->reio_z_or_tau=reio_tau; + } + break; - if (ppt->has_scalars == _TRUE_) { + /** 8.b) Reionization parameters if reio_parametrization=reio_bins_tanh */ + case reio_bins_tanh: + /* Read */ + class_read_int("binned_reio_num",pth->binned_reio_num); + class_read_list_of_doubles("binned_reio_z",pth->binned_reio_z,pth->binned_reio_num); + class_read_list_of_doubles("binned_reio_xe",pth->binned_reio_xe,pth->binned_reio_num); + class_read_double("binned_reio_step_sharpness",pth->binned_reio_step_sharpness); + break; - class_read_double("P_{RR}^1",prr1); - class_read_double("P_{RR}^2",prr2); - class_test(prr1<=0.,errmsg,"enter strictly positive scale P_{RR}^1"); - class_test(prr2<=0.,errmsg,"enter strictly positive scale P_{RR}^2"); + /** 8.c) reionization parameters if reio_parametrization=reio_many_tanh */ + case reio_many_tanh: + /* Read */ + class_read_int("many_tanh_num",pth->many_tanh_num); + class_read_list_of_doubles("many_tanh_z",pth->many_tanh_z,pth->many_tanh_num); + class_read_list_of_doubles("many_tanh_xe",pth->many_tanh_xe,pth->many_tanh_num); + class_read_double("many_tanh_width",pth->many_tanh_width); + break; - ppm->n_s = log(prr2/prr1)/log(k2/k1)+1.; - ppm->A_s = prr1*exp((ppm->n_s-1.)*log(ppm->k_pivot/k1)); + /** 8.d) reionization parameters if reio_parametrization=reio_many_tanh */ + case reio_inter: + /* Read */ + class_read_int("reio_inter_num",pth->reio_inter_num); + class_read_list_of_doubles("reio_inter_z",pth->reio_inter_z,pth->reio_inter_num); + class_read_list_of_doubles("reio_inter_xe",pth->reio_inter_xe,pth->reio_inter_num); + break; - if ((ppt->has_bi == _TRUE_) || - (ppt->has_cdi == _TRUE_) || - (ppt->has_nid == _TRUE_) || - (ppt->has_niv == _TRUE_)) { + default: + class_stop(pth->error_message,"pth->recombination=%d different from all known cases",pth->recombination); + break; + } - class_read_double("P_{II}^1",pii1); - class_read_double("P_{II}^2",pii2); - class_read_double("P_{RI}^1",pri1); - class_read_double("|P_{RI}^2|",pri2); + /** 9) Damping scale */ + /* Read */ + class_read_flag_or_deprecated("compute_damping_scale","compute damping scale",pth->compute_damping_scale); - class_test(pii1 <= 0., - errmsg, - "since you request iso modes, you should have P_{ii}^1 strictly positive"); - class_test(pii2 < 0., - errmsg, - "since you request iso modes, you should have P_{ii}^2 positive or eventually null"); - class_test(pri2 < 0., - errmsg, - "by definition, you should have |P_{ri}^2| positive or eventually null"); + /** 10) Varying fundamental constants */ + class_call(parser_read_string(pfc,"varying_fundamental_constants",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strstr(string1,"none") != NULL){ + pba->varconst_dep = varconst_none; + } + else if (strstr(string1,"instant") != NULL){ + pba->varconst_dep = varconst_instant; + } + else{ + class_stop(errmsg, + "You specified 'varying_fundamental_constants' as '%s'. It has to be one of {'none','instantaneous'}.",string1); + } + } + switch(pba->varconst_dep){ + case varconst_none: + /* nothing to be read*/ + break; + /* 10.a) Instantaneous transition from specified values to unity at given transition redshift */ + case varconst_instant: + class_read_double("varying_alpha",pba->varconst_alpha); + class_read_double("varying_me",pba->varconst_me); + class_read_double("varying_transition_redshift",pba->varconst_transition_redshift); + break; + } - flag1 = _FALSE_; + if (pba->varconst_dep!=varconst_none){ + /* 10.b) Sensitivity of bbn to a variation of the fine structure constant */ + class_read_double("bbn_alpha_sensitivity",pth->bbn_alpha_sensitivity); + } - class_call(parser_read_string(pfc,"special iso",&string1,&flag1,errmsg), - errmsg, - errmsg); + /** 11) The Hubble parameter is integrated instead of getting it from + the Friedmann constraint. (not only _smg) */ + class_call(parser_read_string(pfc, "hubble_evolution", &string1, &flag1, errmsg), + errmsg, + errmsg); - /* axion case, only one iso parameter: piir1 */ - if ((flag1 == _TRUE_) && (strstr(string1,"axion") != NULL)) { - n_iso = 1.; - n_cor = 0.; - c_cor = 0.; - } - /* curvaton case, only one iso parameter: piir1 */ - else if ((flag1 == _TRUE_) && (strstr(string1,"anticurvaton") != NULL)) { - n_iso = ppm->n_s; - n_cor = 0.; - c_cor = 1.; - } - /* inverted-correlation-curvaton case, only one iso parameter: piir1 */ - else if ((flag1 == _TRUE_) && (strstr(string1,"curvaton") != NULL)) { - n_iso = ppm->n_s; - n_cor = 0.; - c_cor = -1.; - } - /* general case, but if pii2 or pri2=0 the code interprets it - as a request for n_iso=n_ad or n_cor=0 respectively */ - else { - if (pii2 == 0.) { - n_iso = ppm->n_s; - } - else { - class_test((pii1==0.) || (pii2 == 0.) || (pii1*pii2<0.),errmsg,"should NEVER happen"); - n_iso = log(pii2/pii1)/log(k2/k1)+1.; - } - class_test(pri1==0,errmsg,"the general isocurvature case requires a non-zero P_{RI}^1"); - if (pri2 == 0.) { - n_cor = 0.; - } - else { - class_test((pri1==0.) || (pri2 <= 0.) || (pii1*pii2<0),errmsg,"should NEVER happen"); - n_cor = log(pri2/fabs(pri1))/log(k2/k1)-0.5*(ppm->n_s+n_iso-2.); - } - class_test((pii1*prr1<=0.),errmsg,"should NEVER happen"); - class_test(fabs(pri1)/sqrt(pii1*prr1)>1,errmsg,"too large ad-iso cross-correlation in k1"); - class_test(fabs(pri1)/sqrt(pii1*prr1)*exp(n_cor*log(k2/k1))>1,errmsg,"too large ad-iso cross-correlation in k2"); - c_cor = -pri1/sqrt(pii1*prr1)*exp(n_cor*log(ppm->k_pivot/k1)); - } - /* formula for f_iso valid in all cases */ - class_test((pii1==0.) || (prr1 == 0.) || (pii1*prr1<0.),errmsg,"should NEVER happen"); - f_iso = sqrt(pii1/prr1)*exp(0.5*(n_iso-ppm->n_s)*log(ppm->k_pivot/k1)); + if (flag1 == _TRUE_){ + if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ + pba->hubble_evolution = _TRUE_; + class_read_double("hubble_friction",pba->hubble_friction); + } + else{ + pba->hubble_evolution = _FALSE_; + } + } - } + /** 12) The sync metric perturbation h should be obtained with the Einstein 00 + equation algebraically or integrting the trace equation. (not only _smg) */ + class_call(parser_read_string(pfc, "get_h_from_trace", &string1, &flag1, errmsg), + errmsg, + errmsg); - if (ppt->has_bi == _TRUE_) { - ppm->f_bi = f_iso; - ppm->n_bi = n_iso; - ppm->c_ad_bi = c_cor; - ppm->n_ad_bi = n_cor; - } + if (flag1 == _TRUE_){ + if((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL)){ + ppt->get_h_from_trace = _TRUE_; + } + else{ + ppt->get_h_from_trace = _FALSE_; + } + } - if (ppt->has_cdi == _TRUE_) { - ppm->f_cdi = f_iso; - ppm->n_cdi = n_iso; - ppm->c_ad_cdi = c_cor; - ppm->n_ad_cdi = n_cor; - } + return _SUCCESS_; - if (ppt->has_nid == _TRUE_) { - ppm->f_nid = f_iso; - ppm->n_nid = n_iso; - ppm->c_ad_nid = c_cor; - ppm->n_ad_nid = n_cor; - } +} - if (ppt->has_niv == _TRUE_) { - ppm->f_niv = f_iso; - ppm->n_niv = n_iso; - ppm->c_ad_niv = c_cor; - ppm->n_ad_niv = n_cor; - } - } - ppm->primordial_spec_type = analytic_Pk; +/** + * Read the parameters for each physical species + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param input_verbose Input: verbosity of input + * @param errmsg Input: Error message + * @return the error status + */ - } +int input_read_parameters_species(struct file_content * pfc, + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int input_verbose, + ErrorMsg errmsg){ - else if (ppm->primordial_spec_type == analytic_Pk) { + /** Summary: */ - if (ppt->has_scalars == _TRUE_) { + /** - Define local variables */ + int flag1, flag2, flag3; + double param1, param2, param3; + char string1[_ARGUMENT_LENGTH_MAX_]; + int fileentries; + int N_ncdm=0, n, entries_read; + double rho_ncdm; + double scf_lambda; + double fnu_factor; + double Omega_tot; + double sigma_B; // Stefan-Boltzmann constant + double stat_f_idr = 7./8.; + double f_cdm=1., f_idm=0.; + short has_m_budget = _FALSE_, has_cdm_userdefined = _FALSE_; + double Omega_m_remaining = 0.; - class_call(parser_read_double(pfc,"A_s",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"ln10^{10}A_s",¶m2,&flag2,errmsg), - errmsg, - errmsg); - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), - errmsg, - "In input file, you cannot enter both A_s and ln10^{10}A_s, choose one"); - if (flag1 == _TRUE_) - ppm->A_s = param1; - else if (flag2 == _TRUE_) - ppm->A_s = exp(param2)*1.e-10; - if (ppt->has_ad == _TRUE_) { + sigma_B = 2.*pow(_PI_,5.)*pow(_k_B_,4.)/15./pow(_h_P_,3.)/pow(_c_,2); // [W/(m^2 K^4) = Kg/(K^4 s^3)] - class_read_double("n_s",ppm->n_s); - class_read_double("alpha_s",ppm->alpha_s); + /** 1) Omega_0_g (photons) and T_cmb */ + /* Read */ + class_call(parser_read_double(pfc,"T_cmb",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"Omega_g",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_g",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "You can only enter one of 'T_cmb', 'Omega_g' or 'omega_g'."); + /* Complete set of parameters + Note: Omega0_g = rho_g/rho_c0, each of them expressed in [Kg/(m s^2)] + rho_g = (4 sigma_B/c) T^4 + rho_c0 = 3 c^2 H_0^2/(8 \pi G) */ + if (class_none_of_three(flag1,flag2,flag3)){ + pba->Omega0_g = (4.*sigma_B/_c_*pow(pba->T_cmb,4.))/(3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); + } + else { + if (flag1 == _TRUE_){ + pba->Omega0_g = (4.*sigma_B/_c_*pow(param1,4.))/(3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); + pba->T_cmb=param1; + } + if (flag2 == _TRUE_){ + pba->Omega0_g = param2; + pba->T_cmb = pow(pba->Omega0_g*(3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_)/(4.*sigma_B/_c_),0.25); + } + if (flag3 == _TRUE_){ + pba->Omega0_g = param3/pba->h/pba->h; + pba->T_cmb = pow(pba->Omega0_g*(3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_)/(4.*sigma_B/_c_),0.25); + } + } + class_test(pba->Omega0_g<0,errmsg,"You cannot set the photon density to negative values."); - } - if (ppt->has_bi == _TRUE_) { + /** 2) Omega_0_b (baryons) */ + /* Read */ + class_call(parser_read_double(pfc,"Omega_b",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_b",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'Omega_b' or 'omega_b'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pba->Omega0_b = param1; + } + if (flag2 == _TRUE_){ + pba->Omega0_b = param2/pba->h/pba->h; + } + class_test(pba->Omega0_b<0,errmsg,"You cannot set the baryon density to negative values."); - class_read_double("f_bi",ppm->f_bi); - class_read_double("n_bi",ppm->n_bi); - class_read_double("alpha_bi",ppm->alpha_bi); - } + /** 3) Omega_0_ur (ultra-relativistic species / massless neutrino) */ + /** + * We want to keep compatibility with old input files, and as such 'N_eff' is still + * an allowed parameter name, although it is deprecated and its use is discouraged. + * */ + /* Read */ + class_call(parser_read_double(pfc,"N_ur",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Compability code BEGIN */ + class_call(parser_read_double(pfc,"N_eff",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You added both 'N_eff' (deprecated) and 'N_ur'. Please use solely 'N_ur'."); + if (flag2 == _TRUE_){ + param1 = param2; + flag1 = _TRUE_; + } + /* Compability code END */ + class_call(parser_read_double(pfc,"Omega_ur",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_ur",¶m3,&flag3,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "You can only enter one of 'N_ur', 'Omega_ur' or 'omega_ur'."); + /* Complete set of parameters assuming as default value N_eff=3.044 + (see 2008.01074 and 2012.02726. This value is more accurate than + the previous default value of 3.046) */ + if (class_none_of_three(flag1,flag2,flag3)) { + pba->Omega0_ur = 3.044*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; + } + else { + if (flag1 == _TRUE_) { + pba->Omega0_ur = param1*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; + } + if (flag2 == _TRUE_) { + pba->Omega0_ur = param2; + } + if (flag3 == _TRUE_) { + pba->Omega0_ur = param3/pba->h/pba->h; + } + } + class_test(pba->Omega0_ur<0,errmsg,"You cannot set the density of ultra-relativistic relics (dark radiation/neutrinos) to negative values."); - if (ppt->has_cdi == _TRUE_) { + /** 3.a) Case of non-standard properties */ + /* Read */ + class_call(parser_read_double(pfc,"ceff2_ur",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"cvis2_ur",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + ppt->three_ceff2_ur = 3.*param1; + } + if (flag2 == _TRUE_){ + ppt->three_cvis2_ur = 3.*param2; + } - class_read_double("f_cdi",ppm->f_cdi); - class_read_double("n_cdi",ppm->n_cdi); - class_read_double("alpha_cdi",ppm->alpha_cdi); - } + /** 4) Omega_0_cdm (CDM) */ + /* Read */ + class_call(parser_read_double(pfc,"Omega_cdm",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_cdm",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'Omega_cdm' or 'omega_cdm'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pba->Omega0_cdm = param1; + has_cdm_userdefined = _TRUE_; + } + if (flag2 == _TRUE_){ + pba->Omega0_cdm = param2/pba->h/pba->h; + has_cdm_userdefined = _TRUE_; + } + class_test(pba->Omega0_cdm<0,errmsg, "You cannot set the cold dark matter density to negative values."); - if (ppt->has_nid == _TRUE_) { + /** 4) (Second part) Omega_0_m (total non-relativistic) */ + class_call(parser_read_double(pfc,"Omega_m",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_m",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Read */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'Omega_m' or 'omega_m'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + Omega_m_remaining = param1; + has_m_budget = _TRUE_; + } + if (flag2 == _TRUE_){ + Omega_m_remaining = param2/pba->h/pba->h; + has_m_budget = _TRUE_; + } + class_test(Omega_m_remaining<0,errmsg, "You cannot set the total matter density to negative values."); + class_test(has_cdm_userdefined == _TRUE_ && has_m_budget == _TRUE_, errmsg, "If you want to use 'Omega_m' you cannot fix 'Omega_cdm' simultaneously. Please remove either 'Omega_cdm' or 'Omega_m' from the input file."); + if (has_m_budget == _TRUE_) { + class_test(Omega_m_remaining < pba->Omega0_b, errmsg, "Too much energy density from matter species. At this point only %e is left for Omega_m, but requested 'Omega_b = %e'",Omega_m_remaining, pba->Omega0_b); + Omega_m_remaining-= pba->Omega0_b; + } - class_read_double("f_nid",ppm->f_nid); - class_read_double("n_nid",ppm->n_nid); - class_read_double("alpha_nid",ppm->alpha_nid); + /** 5) Non-cold relics (ncdm) */ + /** 5.a) Number of non-cold relics */ + /* Read */ + class_read_int("N_ncdm",N_ncdm); + /* Complete set of parameters */ + if (N_ncdm > 0){ + pba->N_ncdm = N_ncdm; + if (ppt->gauge == synchronous){ + ppr->tol_ncdm = ppr->tol_ncdm_synchronous; + } + if (ppt->gauge == newtonian){ + ppr->tol_ncdm = ppr->tol_ncdm_newtonian; + } + /** 5.b) Check if filenames for interpolation tables are given */ + /* Read */ + class_read_list_of_integers_or_default("use_ncdm_psd_files",pba->got_files,_FALSE_,N_ncdm); + /* Complete set of parameters */ + for (n=0,fileentries=0; ngot_files[n] == _TRUE_){ + fileentries++; } + } + if (fileentries > 0) { - if (ppt->has_niv == _TRUE_) { + /** 5.b.1) Check if filenames for interpolation tables are given */ + /* Read */ + class_call(parser_read_list_of_strings(pfc,"ncdm_psd_filenames",&entries_read,&(pba->ncdm_psd_files),&flag1,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(flag1 == _FALSE_,errmsg, + "Entry 'use_ncdm_files' is found, but no corresponding 'ncdm_psd_filenames' were found."); + class_test(entries_read != fileentries,errmsg, + "Number of filenames found (%d) does not match number of _TRUE_ values in use_ncdm_files (%d).", + entries_read,fileentries); + } - class_read_double("f_niv",ppm->f_niv); - class_read_double("n_niv",ppm->n_niv); - class_read_double("alpha_niv",ppm->alpha_niv); + /** 5.c) (optional) p.s.d.-parameters */ + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"ncdm_psd_parameters",&entries_read,&(pba->ncdm_psd_parameters),&flag1,errmsg), + errmsg, + errmsg); + /** 5.d) Mass or Omega of each ncdm species */ + /* Read */ + class_read_list_of_doubles_or_default("m_ncdm",pba->m_ncdm_in_eV,0.0,N_ncdm); + class_read_list_of_doubles_or_default("Omega_ncdm",pba->Omega0_ncdm,0.0,N_ncdm); + class_read_list_of_doubles_or_default("omega_ncdm",pba->M_ncdm,0.0,N_ncdm); + for (n=0; nM_ncdm[n]!=0.0){ + /* Test */ + class_test(pba->Omega0_ncdm[n]!=0,errmsg, + "You can only enter one of 'Omega_ncdm' or 'omega_ncdm' for ncdm species %d.",n); + /* Complete set of parameters */ + pba->Omega0_ncdm[n] = pba->M_ncdm[n]/pba->h/pba->h; + } + /* Set default value + this is the right place for passing the default value of the mass + (all parameters must have a default value; most of them are defined + in input_default_params, but the ncdm mass is a bit special and + there is no better place for setting its default value). We put an + arbitrary value m << 10^-3 eV, i.e. the ultra-relativistic limit. */ + if ((pba->Omega0_ncdm[n]==0.0) && (pba->m_ncdm_in_eV[n]==0.0)) { + pba->m_ncdm_in_eV[n]=1.e-5; } + } - if ((ppt->has_ad == _TRUE_) && (ppt->has_bi == _TRUE_)) { - class_read_double_one_of_two("c_ad_bi","c_bi_ad",ppm->c_ad_bi); - class_read_double_one_of_two("n_ad_bi","n_bi_ad",ppm->n_ad_bi); - class_read_double_one_of_two("alpha_ad_bi","alpha_bi_ad",ppm->alpha_ad_bi); - } - - if ((ppt->has_ad == _TRUE_) && (ppt->has_cdi == _TRUE_)) { - class_read_double_one_of_two("c_ad_cdi","c_cdi_ad",ppm->c_ad_cdi); - class_read_double_one_of_two("n_ad_cdi","n_cdi_ad",ppm->n_ad_cdi); - class_read_double_one_of_two("alpha_ad_cdi","alpha_cdi_ad",ppm->alpha_ad_cdi); - } - - if ((ppt->has_ad == _TRUE_) && (ppt->has_nid == _TRUE_)) { - class_read_double_one_of_two("c_ad_nid","c_nid_ad",ppm->c_ad_nid); - class_read_double_one_of_two("n_ad_nid","n_nid_ad",ppm->n_ad_nid); - class_read_double_one_of_two("alpha_ad_nid","alpha_nid_ad",ppm->alpha_ad_nid); - } + /** 5.e) Temperatures */ + /* Read */ + class_read_list_of_doubles_or_default("T_ncdm",pba->T_ncdm,pba->T_ncdm_default,N_ncdm); - if ((ppt->has_ad == _TRUE_) && (ppt->has_niv == _TRUE_)) { - class_read_double_one_of_two("c_ad_niv","c_niv_ad",ppm->c_ad_niv); - class_read_double_one_of_two("n_ad_niv","n_niv_ad",ppm->n_ad_niv); - class_read_double_one_of_two("alpha_ad_niv","alpha_niv_ad",ppm->alpha_ad_niv); - } + /** 5.f) Chemical potentials */ + /* Read */ + class_read_list_of_doubles_or_default("ksi_ncdm",pba->ksi_ncdm,pba->ksi_ncdm_default,N_ncdm); - if ((ppt->has_bi == _TRUE_) && (ppt->has_cdi == _TRUE_)) { - class_read_double_one_of_two("c_bi_cdi","c_cdi_bi",ppm->c_bi_cdi); - class_read_double_one_of_two("n_bi_cdi","n_cdi_bi",ppm->n_bi_cdi); - class_read_double_one_of_two("alpha_bi_cdi","alpha_cdi_bi",ppm->alpha_bi_cdi); - } + /** 5.g) Degeneracy of each ncdm species */ + /* Read */ + class_read_list_of_doubles_or_default("deg_ncdm",pba->deg_ncdm,pba->deg_ncdm_default,N_ncdm); - if ((ppt->has_bi == _TRUE_) && (ppt->has_nid == _TRUE_)) { - class_read_double_one_of_two("c_bi_nid","c_nid_bi",ppm->c_bi_nid); - class_read_double_one_of_two("n_bi_nid","n_nid_bi",ppm->n_bi_nid); - class_read_double_one_of_two("alpha_bi_nid","alpha_nid_bi",ppm->alpha_bi_nid); - } + /** 5.h) Quadrature modes, 0 is qm_auto */ + /* Read */ + class_call(parser_read_list_of_integers(pfc, "Quadrature strategy", &entries_read, &(pba->ncdm_quadrature_strategy), &flag1, errmsg), + errmsg, errmsg); //Deprecated parameter, still read to keep compatibility + if (flag1 == _TRUE_) { + class_test(entries_read != N_ncdm, errmsg, "Number of entries in Quadrature strategy, %d, is different from the number of N_cdm species, %d", entries_read, N_ncdm); + } + else { + class_read_list_of_integers_or_default("ncdm_quadrature_strategy", pba->ncdm_quadrature_strategy, 0, N_ncdm); + } - if ((ppt->has_bi == _TRUE_) && (ppt->has_niv == _TRUE_)) { - class_read_double_one_of_two("c_bi_niv","c_niv_bi",ppm->c_bi_niv); - class_read_double_one_of_two("n_bi_niv","n_niv_bi",ppm->n_bi_niv); - class_read_double_one_of_two("alpha_bi_niv","alpha_niv_bi",ppm->alpha_bi_niv); - } + /** 5.h.1) qmax, if relevant */ + /* Read */ + class_call(parser_read_list_of_doubles(pfc, "Maximum_q", &entries_read, &(pba->ncdm_qmax), &flag1, errmsg), + errmsg, errmsg); //Deprecated parameter, still read to keep compatibility + if (flag1 == _TRUE_) { + class_test(entries_read != N_ncdm, errmsg, "Number of entries in Maximum_q, %d, is different from the number of N_cdm species, %d", entries_read, N_ncdm); + } + else { + class_read_list_of_doubles_or_default("ncdm_maximum_q", pba->ncdm_qmax, 15, N_ncdm); + } - if ((ppt->has_cdi == _TRUE_) && (ppt->has_nid == _TRUE_)) { - class_read_double_one_of_two("c_cdi_nid","c_nid_cdi",ppm->c_cdi_nid); - class_read_double_one_of_two("n_cdi_nid","n_nid_cdi",ppm->n_cdi_nid); - class_read_double_one_of_two("alpha_cdi_nid","alpha_nid_cdi",ppm->alpha_cdi_nid); - } + /** 5.h.2) Number of momentum bins */ + class_call(parser_read_list_of_integers(pfc, "Number of momentum bins", &entries_read, &(pba->ncdm_input_q_size), &flag1, errmsg), + errmsg, errmsg); //Deprecated parameter, still read to keep compatibility + if (flag1 == _TRUE_) { + class_test(entries_read != N_ncdm, errmsg, "Number of entries in Number of momentum bins, %d, is different from the number of N_cdm species, %d", entries_read, N_ncdm); + } + else { + class_read_list_of_integers_or_default("ncdm_N_momentum_bins", pba->ncdm_input_q_size, 150, N_ncdm); + } - if ((ppt->has_cdi == _TRUE_) && (ppt->has_niv == _TRUE_)) { - class_read_double_one_of_two("c_cdi_niv","c_niv_cdi",ppm->c_cdi_niv); - class_read_double_one_of_two("n_cdi_niv","n_niv_cdi",ppm->n_cdi_niv); - class_read_double_one_of_two("alpha_cdi_niv","alpha_niv_cdi",ppm->alpha_cdi_niv); + /** Last step of 5) (i.e. NCDM) -- Calculate the masses and momenta */ + class_call(background_ncdm_init(ppr,pba), + pba->error_message, + errmsg); + /* Complete set of parameters + We must calculate M from omega or vice versa if one of them is missing. + If both are present, we must update the degeneracy parameter to + reflect the implicit normalization of the distribution function. */ + for (n=0; n < N_ncdm; n++){ + if (pba->m_ncdm_in_eV[n] != 0.0){ + /* Case of only mass or mass and Omega/omega: */ + pba->M_ncdm[n] = pba->m_ncdm_in_eV[n]/_k_B_*_eV_/pba->T_ncdm[n]/pba->T_cmb; + class_call(background_ncdm_momenta(pba->q_ncdm_bg[n], + pba->w_ncdm_bg[n], + pba->q_size_ncdm_bg[n], + pba->M_ncdm[n], + pba->factor_ncdm[n], + 0., + NULL, + &rho_ncdm, + NULL, + NULL, + NULL), + pba->error_message, + errmsg); + if (pba->Omega0_ncdm[n] == 0.0){ + pba->Omega0_ncdm[n] = rho_ncdm/pba->H0/pba->H0; + } + else{ + fnu_factor = (pba->H0*pba->H0*pba->Omega0_ncdm[n]/rho_ncdm); + pba->factor_ncdm[n] *= fnu_factor; + /* dlnf0dlnq is already computed, but it is independent of any + normalization of f0. We don't need the factor anymore, but we + store it nevertheless */ + pba->deg_ncdm[n] *=fnu_factor; + } } - - if ((ppt->has_nid == _TRUE_) && (ppt->has_niv == _TRUE_)) { - class_read_double_one_of_two("c_nid_niv","c_niv_nid",ppm->c_nid_niv); - class_read_double_one_of_two("n_nid_niv","n_niv_nid",ppm->n_nid_niv); - class_read_double_one_of_two("alpha_nid_niv","alpha_niv_nid",ppm->alpha_nid_niv); + else{ + /* Case of only Omega/omega: */ + class_call(background_ncdm_M_from_Omega(ppr,pba,n), + pba->error_message, + errmsg); + pba->m_ncdm_in_eV[n] = _k_B_/_eV_*pba->T_ncdm[n]*pba->M_ncdm[n]*pba->T_cmb; } - + pba->Omega0_ncdm_tot += pba->Omega0_ncdm[n]; } - if (ppt->has_tensors == _TRUE_) { + } + class_test(pba->Omega0_ncdm_tot<0,errmsg,"You cannot set the NCDM density to negative values."); + if (has_m_budget == _TRUE_) { + class_test(Omega_m_remaining < pba->Omega0_ncdm_tot, errmsg, "Too much energy density from massive species. At this point only %e is left for Omega_m, but requested 'Omega_ncdm = %e' (summed over all species)",Omega_m_remaining, pba->Omega0_ncdm_tot); + Omega_m_remaining-= pba->Omega0_ncdm_tot; + } - class_read_double("r",ppm->r); + /** 6) Omega_0_k (effective fractional density of curvature) */ + /* Read */ + class_read_double("Omega_k",pba->Omega0_k); + /* Complete set of parameters */ + pba->K = -pba->Omega0_k*pow(pba->H0,2); + if (pba->K > 0.){ + pba->sgnK = 1; + } + else if (pba->K < 0.){ + pba->sgnK = -1; + } - if (ppt->has_scalars == _FALSE_) { - class_read_double("A_s",ppm->A_s); - } - if (ppm->r <= 0) { - ppt->has_tensors = _FALSE_; - } - else { + /* 7) ** ADDITIONAL SPECIES ** --> Add your species here */ - class_call(parser_read_string(pfc,"n_t",&string1,&flag1,errmsg), - errmsg, - errmsg); + /** 7.1) Decaying DM into DR */ + /** 7.1.a) Omega_0_dcdmdr (DCDM, i.e. decaying CDM) */ + /* Read */ + class_call(parser_read_double(pfc,"Omega_dcdmdr",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_dcdmdr",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'Omega_dcdmdr' or 'omega_dcdmdr'."); - if ((flag1 == _TRUE_) && !((strstr(string1,"SCC") != NULL) || (strstr(string1,"scc") != NULL))) { - class_read_double("n_t",ppm->n_t); - } - else { - /* enforce single slow-roll self-consistency condition (order 2 in slow-roll) */ - ppm->n_t = -ppm->r/8.*(2.-ppm->r/8.-ppm->n_s); - } + /* ---> if user passes directly the density of dcdmdr */ + if (flag1 == _TRUE_) + pba->Omega0_dcdmdr = param1; + if (flag2 == _TRUE_) + pba->Omega0_dcdmdr = param2/pba->h/pba->h; + class_test(pba->Omega0_dcdmdr<0,errmsg,"You cannot set the dcdmdr density to negative values."); - class_call(parser_read_string(pfc,"alpha_t",&string1,&flag1,errmsg), - errmsg, - errmsg); + /** 7.1.b) Omega_ini_dcdm or omega_ini_dcdm */ + /* Read */ + class_call(parser_read_double(pfc,"Omega_ini_dcdm",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_ini_dcdm",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "You can only enter one of 'Omega_ini_dcdm' or 'omega_ini_dcdm'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pba->Omega_ini_dcdm = param1; + } + if (flag2 == _TRUE_){ + pba->Omega_ini_dcdm = param2/pba->h/pba->h; + } + class_test(pba->Omega_ini_dcdm<0,errmsg,"You cannot set the initial dcdm density to negative values."); - if ((flag1 == _TRUE_) && !((strstr(string1,"SCC") != NULL) || (strstr(string1,"scc") != NULL))) { - class_read_double("alpha_t",ppm->alpha_t); - } - else { - /* enforce single slow-roll self-consistency condition (order 2 in slow-roll) */ - ppm->alpha_t = ppm->r/8.*(ppm->r/8.+ppm->n_s-1.); - } - } + if (pba->Omega0_dcdmdr > 0 || (pba->Omega_ini_dcdm > 0.)) { + + /** 7.1.c) Gamma in same units as H0, i.e. km/(s Mpc)*/ + /* Read */ + class_call(parser_read_double(pfc,"Gamma_dcdm",¶m1,&flag1,errmsg), // [km/(s Mpc)] + errmsg, + errmsg); + class_call(parser_read_double(pfc,"tau_dcdm",¶m2,&flag2,errmsg), // [s] + errmsg, + errmsg); + /* Test */ + class_test(((flag1 == _TRUE_) && (flag2 == _TRUE_)), + errmsg, + "In input file, you can only enter one of Gamma_dcdm or tau_dcdm, choose one"); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + pba->Gamma_dcdm = param1*(1.e3/_c_); // [Mpc] + pba->tau_dcdm = _Mpc_over_m_*1e-3/param1; // [s] } + if (flag2 == _TRUE_){ + pba->Gamma_dcdm = _Mpc_over_m_/(param2*_c_); // [Mpc] + pba->tau_dcdm = param2; // [s] + } + /* Test */ + class_test(pba->tau_dcdm<0., + errmsg, + "You need to enter a lifetime for the decaying DM 'tau_dcdm > 0.'"); + class_test(pba->Gamma_dcdm<0., + errmsg, + "You need to enter a decay constant for the decaying DM 'Gamma_dcdm > 0.'"); + } + if (has_m_budget == _TRUE_) { + class_test(Omega_m_remaining < pba->Omega0_dcdmdr, errmsg, "Too much energy density from massive species. At this point only %e is left for Omega_m, but requested 'Omega_dcdmdr = %e'",Omega_m_remaining, pba->Omega0_dcdmdr); + Omega_m_remaining-= pba->Omega0_dcdmdr; } - else if ((ppm->primordial_spec_type == inflation_V) || (ppm->primordial_spec_type == inflation_H)) { + /** 7.2) Multi-interacting dark matter (idm) */ + /** 7.2.1) Global parameters for all interacting Dark Matter components */ - if (ppm->primordial_spec_type == inflation_V) { + /** 7.2.1.a) Amount of interacting dark matter*/ + /* Read fraction or density */ + class_call(parser_read_double(pfc,"Omega_idm",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"omega_idm",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"f_idm",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "In input file, you can only enter one of {Omega_idm, omega_idm, f_idm}, choose one"); - class_call(parser_read_string(pfc,"potential",&string1,&flag1,errmsg), - errmsg, - errmsg); + /* ---> if user passes directly the density of idm */ + if (flag1 == _TRUE_) + pba->Omega0_idm = param1; + if (flag2 == _TRUE_) + pba->Omega0_idm = param2/pba->h/pba->h; + if (flag3 == _TRUE_) + f_idm = param3; + + /* ---> if user passes density of idm as a fraction of the CDM one */ + /* Find Omega_idm from Omega_cdm and f_idm */ + if (flag3 == _TRUE_) { + class_test((f_idm < 0.) || (f_idm > 1.), + errmsg, + "The fraction of interacting DM must be between 0 and 1, you asked for f_idm=%e",param3); - /* only polynomial coded so far: no need to interpret string1 **/ + /* Test if there is enough dark matter left to be converted into idm */ + class_test(f_idm > f_cdm, + errmsg, + "There is not enough cold dark matter left (f_cdm = %.10e) that should be treated as idm, is the sum of the {f_idm=%.10e} parameters less or equal to 1?", f_cdm, f_idm); - class_call(parser_read_string(pfc,"PSR_0",&string1,&flag1,errmsg), - errmsg, - errmsg); + f_cdm -= f_idm; + } - if (flag1 == _TRUE_) { + /** 7.2.1.b) Mass of interacting dark matter*/ + /* Read */ + if (pba->Omega0_idm > 0. || f_idm > 0) { + class_read_double("m_idm",pth->m_idm); - PSR0=0.; - PSR1=0.; - PSR2=0.; - PSR3=0.; - PSR4=0.; + class_test(pth->m_idm <= 0., + errmsg, + "m_idm must be positive."); + class_test(pth->m_idm < 1.e6, + errmsg, + "Note that the idm formalism assumes the DM to be cold. You have chosen a low mass of m_idm=%e, which is beyond the regime in which the code has been tested.", pth->m_idm); - class_read_double("PSR_0",PSR0); - class_read_double("PSR_1",PSR1); - class_read_double("PSR_2",PSR2); - class_read_double("PSR_3",PSR3); - class_read_double("PSR_4",PSR4); + ppt->has_idm_soundspeed = _TRUE_; - class_test(PSR0 <= 0., - errmsg, - "inconsistent parametrization of polynomial inflation potential"); - class_test(PSR1 <= 0., - errmsg, - "inconsistent parametrization of polynomial inflation potential"); + class_read_flag("idm_soundspeed",ppt->has_idm_soundspeed); + } - R0 = PSR0; - R1 = PSR1*16.*_PI_; - R2 = PSR2*8.*_PI_; - R3 = PSR3*pow(8.*_PI_,2); - R4 = PSR4*pow(8.*_PI_,3); + /** 7.2.2) Dark Matter interacting with Dark Radiation, ETHOS-parametrization/NADM parametrization, see explanatory.ini */ - ppm->V0 = R0*R1*3./128./_PI_; - ppm->V1 = -sqrt(R1)*ppm->V0; - ppm->V2 = R2*ppm->V0; - ppm->V3 = R3*ppm->V0*ppm->V0/ppm->V1; - ppm->V4 = R4*ppm->V0/R1; - } + /** 7.2.2.a) Amount of idr */ + /* Read */ + class_call(parser_read_double(pfc,"N_idr",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"N_dg",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"xi_idr",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "In input file, you can only enter one of {N_idr, N_dg, xi_idr}, choose one"); - else { + /** 7.2.2.b) stat_f_idr */ + class_read_double("stat_f_idr",stat_f_idr); - class_call(parser_read_string(pfc,"R_0",&string1,&flag1,errmsg), - errmsg, - errmsg); + if (flag1 == _TRUE_) { + pba->T_idr = pow(param1/stat_f_idr*(7./8.)/pow(11./4.,(4./3.)),(1./4.)) * pba->T_cmb; + if (input_verbose > 1) + printf("You passed N_idr = N_dg = %e, this is equivalent to xi_idr = %e in the ETHOS notation. \n", param1, pba->T_idr/pba->T_cmb); + } + else if (flag2 == _TRUE_) { + pba->T_idr = pow(param2/stat_f_idr*(7./8.)/pow(11./4.,(4./3.)),(1./4.)) * pba->T_cmb; + if (input_verbose > 2) + printf("You passed N_dg = N_idr = %e, this is equivalent to xi_idr = %e in the ETHOS notation. \n", param2, pba->T_idr/pba->T_cmb); + } + else if (flag3 == _TRUE_) { + pba->T_idr = param3 * pba->T_cmb; + if (input_verbose > 1) + printf("You passed xi_idr = %e, this is equivalent to N_idr = N_dg = %e in the NADM notation. \n", param3, stat_f_idr*pow(param3,4.)/(7./8.)*pow(11./4.,(4./3.))); + } + if (flag1 == _TRUE_ || flag2 == _TRUE_ || flag3 == _TRUE_) + pba->Omega0_idr = stat_f_idr*pow(pba->T_idr/pba->T_cmb,4.)*pba->Omega0_g; - if (flag1 == _TRUE_) { + /** 7.2.2.c) idm_dr coupling */ + /* Read */ + if (pba->Omega0_idm > 0. || f_idm > 0) { + class_call(parser_read_double(pfc,"a_idm_dr",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Deprecated input parameter, read for backwards compatibility) */ + class_call(parser_read_double(pfc,"a_dark",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"Gamma_0_nadm",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "In input file, you can only enter one of {a_idm_dr, a_dark, Gamma_0_nadm}, choose one"); - R0=0.; - R1=0.; - R2=0.; - R3=0.; - R4=0.; + /* Consistency checks */ + if (flag1 == _TRUE_){ + pth->a_idm_dr = param1; + if (input_verbose > 1) + printf("You passed a_idm_dr = a_dark = %e, this is equivalent to Gamma_0_nadm = %e in the NADM notation. \n", param1, param1*(4./3.)*(pba->h*pba->h*pba->Omega0_idr)); + } + else if (flag2 == _TRUE_){ + pth->a_idm_dr = param2; + if (input_verbose > 1) + printf("You passed a_dark = a_idm_dr = %e, this is equivalent to Gamma_0_nadm = %e in the NADM notation. \n", param2, param2*(4./3.)*(pba->h*pba->h*pba->Omega0_idr)); + } + else if (flag3 == _TRUE_){ + pth->a_idm_dr = param3*(3./4.)/(pba->h*pba->h*pba->Omega0_idr); + if (input_verbose > 1) + printf("You passed Gamma_0_nadm = %e, this is equivalent to a_idm_dr = a_dark = %e in the ETHOS notation. \n", param3, pth->a_idm_dr); + } - class_read_double("R_0",R0); - class_read_double("R_1",R1); - class_read_double("R_2",R2); - class_read_double("R_3",R3); - class_read_double("R_4",R4); + class_test(pth->a_idm_dr > 0 && pba->Omega0_idr == 0.0, + errmsg, + "You have requested interacting DM ith DR, this requires a non-zero density of interacting DR. Please set either N_idr or xi_idr"); + + /* If the user passed Gamma_0_nadm, assume they want nadm parameterisation*/ + if (flag3 == _TRUE_){ + /* Set 7.2.2.d and 7.2.2.e */ + pth->n_index_idm_dr = 0; + ppt->idr_nature = idr_fluid; + if (input_verbose > 1) + printf("NADM requested. Defaulting on n_index_idm_dr = %e and idr_nature = fluid \n", pth->n_index_idm_dr); + } - class_test(R0 <= 0., - errmsg, - "inconsistent parametrization of polynomial inflation potential"); - class_test(R1 <= 0., - errmsg, - "inconsistent parametrization of polynomial inflation potential"); + /* If the user passed something else, assume they want ETHOS parameterisation*/ + else{ + /** 7.2.2.d) n_index_idm_dr */ + class_call(parser_read_double(pfc,"n_index_idm_dr",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Deprecated input parameters, read for backwards compatibility) */ + class_call(parser_read_double(pfc,"nindex_idm_dr",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"nindex_dark",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "In input file, you can only enter one of {n_index_idm_dr, nindex_idm_dr, nindex_dark}, choose one"); + if (flag1 == _TRUE_){ + pth->n_index_idm_dr = param1; + } + if (flag2 == _TRUE_){ + pth->n_index_idm_dr = param2; + } + if (flag3 == _TRUE_){ + pth->n_index_idm_dr = param3; + } - ppm->V0 = R0*R1*3./128./_PI_; - ppm->V1 = -sqrt(R1)*ppm->V0; - ppm->V2 = R2*ppm->V0; - ppm->V3 = R3*ppm->V0*ppm->V0/ppm->V1; - ppm->V4 = R4*ppm->V0/R1; + /** 7.2.2.e) idr_nature */ + class_call(parser_read_string(pfc,"idr_nature",&string1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + if ((strstr(string1,"free_streaming") != NULL) || (strstr(string1,"Free_Streaming") != NULL) || (strstr(string1,"Free_streaming") != NULL) || (strstr(string1,"FREE_STREAMING") != NULL)) { + ppt->idr_nature = idr_free_streaming; } - - else { - - class_read_double("V_0",ppm->V0); - class_read_double("V_1",ppm->V1); - class_read_double("V_2",ppm->V2); - class_read_double("V_3",ppm->V3); - class_read_double("V_4",ppm->V4); - + if ((strstr(string1,"fluid") != NULL) || (strstr(string1,"Fluid") != NULL) || (strstr(string1,"FLUID") != NULL)) { + ppt->idr_nature = idr_fluid; } } } - else { + /** 7.2.2.f) Strength of self interactions */ + class_read_double_one_of_two("b_dark","b_idr",pth->b_idr); - class_call(parser_read_string(pfc,"HSR_0",&string1,&flag1,errmsg), + /** 7.2.2.g) Read alpha_idm_dr or alpha_dark */ + class_call(parser_read_list_of_doubles(pfc,"alpha_idm_dr",&entries_read,&(ppt->alpha_idm_dr),&flag1,errmsg), + errmsg, + errmsg); + /* try with the other syntax */ + if (flag1 == _FALSE_) { + class_call(parser_read_list_of_doubles(pfc,"alpha_dark",&entries_read,&(ppt->alpha_idm_dr),&flag1,errmsg), errmsg, errmsg); + } - if (flag1 == _TRUE_) { - - HSR0=0.; - HSR1=0.; - HSR2=0.; - HSR3=0.; - HSR4=0.; - - class_read_double("HSR_0",HSR0); - class_read_double("HSR_1",HSR1); - class_read_double("HSR_2",HSR2); - class_read_double("HSR_3",HSR3); - class_read_double("HSR_4",HSR4); - - ppm->H0 = sqrt(HSR0*HSR1*_PI_); - ppm->H1 = -sqrt(4.*_PI_*HSR1)*ppm->H0; - ppm->H2 = 4.*_PI_*HSR2*ppm->H0; - ppm->H3 = 4.*_PI_*HSR3*ppm->H0*ppm->H0/ppm->H1; - ppm->H4 = 4.*_PI_*HSR4*ppm->H0*ppm->H0*ppm->H0/ppm->H1/ppm->H1; - + /* At this point these quantities may or may not be allocated */ + /* If we have perturbations, everything is alright, go ahead and allocate default values */ + if (ppt->has_perturbations) { + if (flag1 == _TRUE_){ + if (ppt->perturbations_verbose > 0) { + class_test(entries_read > ppr->l_max_idr-1, + errmsg, + "The number of alpha_idm_dr parameters passed (%d) is bigger than l_max_idr-1=%d", entries_read, ppr->l_max_idr-1); + } + /* If less input than expected -> fill up with last value, otherwise nothing to do */ + if (entries_read < (ppr->l_max_idr-1)){ + if (ppt->perturbations_verbose > 0) { + printf("WARNING: only %i entries of alpha_idm_dr were provided for %i moments, filling up the rest with the last entry provided\n", entries_read, ppr->l_max_idr-1); + } + class_realloc(ppt->alpha_idm_dr,(ppr->l_max_idr-1)*sizeof(double),errmsg); + for (n=entries_read; n<(ppr->l_max_idr-1); n++) ppt->alpha_idm_dr[n] = ppt->alpha_idm_dr[entries_read-1]; + } } - else { - - class_read_double("H_0",ppm->H0); - class_read_double("H_1",ppm->H1); - class_read_double("H_2",ppm->H2); - class_read_double("H_3",ppm->H3); - class_read_double("H_4",ppm->H4); + else{ + /* Allocate default values if we have idm, but the user doesn't provide input */ + class_alloc(ppt->alpha_idm_dr,(ppr->l_max_idr-1)*sizeof(double),errmsg); + for (n=0; n<(ppr->l_max_idr-1); n++) ppt->alpha_idm_dr[n] = 1.5; } - - class_test(ppm->H0 <= 0., - errmsg, - "inconsistent parametrization of polynomial inflation potential"); - + } + /* If we don't have perturbations, we should free the arrays again if necessary */ + else if (ppt->alpha_idm_dr != NULL) { + free(ppt->alpha_idm_dr); } } - else if (ppm->primordial_spec_type == inflation_V_end) { - - class_call(parser_read_string(pfc,"full_potential",&string1,&flag1,errmsg), + /** 7.2.2.h) beta_idr */ + if ((pba->Omega0_idm > 0 || f_idm > 0) && pba->Omega0_idr > 0) { + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"beta_idr",&entries_read,&(ppt->beta_idr),&flag1,errmsg), errmsg, errmsg); + /* try with the other syntax */ + if (flag1 == _FALSE_) { + class_call(parser_read_list_of_doubles(pfc,"beta_dark",&entries_read,&(ppt->beta_idr),&flag1,errmsg), + errmsg, + errmsg); + } - if (flag1 == _TRUE_) { - if (strcmp(string1,"polynomial") == 0) { - ppm->potential = polynomial; - } - else if (strcmp(string1,"higgs_inflation") == 0) { - ppm->potential = higgs_inflation; + /* At this point these quantities might or might not be allocated */ + /* If we have perturbations, everything is alright, go ahead and allocate default values */ + if (ppt->has_perturbations == _TRUE_) { + if (flag1 == _TRUE_){ + /* If less input than expected -> fill up with last value, otherwise nothing to do */ + if (ppt->perturbations_verbose > 0) { + class_test(entries_read > ppr->l_max_idr-1, + errmsg, + "The number of beta_idr parameters passed (%d) is bigger than l_max_idr-1=%d", entries_read, ppr->l_max_idr-1); + } + if (entries_read < (ppr->l_max_idr-1)){ + if (ppt->perturbations_verbose > 0) { + printf("WARNING: only %i entries of beta_idr were provided for %i moments, filling up the rest with the last entry provided\n", entries_read, ppr->l_max_idr-1); + } + class_realloc(ppt->beta_idr,(ppr->l_max_idr-1)*sizeof(double),errmsg); + for (n=entries_read; n<(ppr->l_max_idr-1); n++) + ppt->beta_idr[n] = ppt->beta_idr[entries_read-1]; + } } else { - class_stop(errmsg,"did not recognize input parameter 'potential': should be one of 'polynomial' or 'higgs_inflation'"); + /* Allocate default values if we have idm, but the user doesn't provide input */ + class_alloc(ppt->beta_idr,(ppr->l_max_idr-1)*sizeof(double),errmsg); + for (n=0; n<(ppr->l_max_idr-1); n++) + ppt->beta_idr[n] = 1.5; } } + /* If we don't have perturbations, we should free the arrays again if necessary */ + else if (ppt->beta_idr != NULL) { + free(ppt->beta_idr); + } + } - class_read_double("phi_end",ppm->phi_end); - class_read_double("Vparam0",ppm->V0); - class_read_double("Vparam1",ppm->V1); - class_read_double("Vparam2",ppm->V2); - class_read_double("Vparam3",ppm->V3); - class_read_double("Vparam4",ppm->V4); + /** 7.2.3) Dark Matter interacting with baryons */ + /** 7.2.3.a) idm_b coupling stregth */ + if (pba->Omega0_idm > 0 || f_idm > 0) { + class_read_double("cross_idm_b",pth->cross_idm_b); - class_call(parser_read_string(pfc,"ln_aH_ratio",&string1,&flag1,errmsg), + /** 7.2.3.b) idm_b temperature dependence */ + /* Read */ + if (pth->cross_idm_b > 0) { + class_read_int("n_index_idm_b",pth->n_index_idm_b); + + /* Consistency checks */ + class_test(((pth->n_index_idm_b > 4)||(pth->n_index_idm_b < -4)), + errmsg, + "The index for the DM-baryon interaction must be an integer between -4 and 4, you passed n_index_idm_b = %d.", pth->n_index_idm_b); + /* The following formula is taken from Dvorkin et al. (2013) */ + pth->n_coeff_idm_b = (pow(2.,(pth->n_index_idm_b+5.)/2.)*tgamma(3.+pth->n_index_idm_b/2.))/(3.*sqrt(_PI_)); + } + } + + /** 7.2.4) Dark Matter interacting with photons */ + /** 7.2.4.a) idm_g coupling stregth */ + if (pba->Omega0_idm > 0.0 || f_idm > 0){ + /* Read */ + class_call(parser_read_double(pfc,"u_idm_g",¶m1,&flag1,errmsg), errmsg, errmsg); - - class_call(parser_read_string(pfc,"N_star",&string2,&flag2,errmsg), + class_call(parser_read_double(pfc,"cross_idm_g",¶m2,&flag2,errmsg), errmsg, errmsg); - - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + class_test((flag1 ==_TRUE_) && (flag2 == _TRUE_), errmsg, - "In input file, you can only enter one of ln_aH_ratio or N_star, the two are not compatible"); + "Only one of two idm_g parameters {u_idm_g, cross_idm_g} can be specified at the same time"); - if (flag1 == _TRUE_) { - if ((strstr(string1,"auto") != NULL) || (strstr(string1,"AUTO") != NULL)) { - ppm->phi_pivot_method = ln_aH_ratio_auto; - } - else { - ppm->phi_pivot_method = ln_aH_ratio; - class_read_double("ln_aH_ratio",ppm->phi_pivot_target); - } + /* Set values */ + if (flag1 == _TRUE_){ + pth->u_idm_g = param1; + pth->cross_idm_g = pth->u_idm_g * _sigma_ * pth->m_idm/1e11 ; } - if (flag2 == _TRUE_) { - ppm->phi_pivot_method = N_star; - class_read_double("N_star",ppm->phi_pivot_target); + pth->cross_idm_g = param2; + pth->u_idm_g = pth->cross_idm_g / _sigma_ * (1e11/pth->m_idm); } - class_call(parser_read_string(pfc,"inflation_behavior",&string1,&flag1,errmsg), - errmsg, - errmsg); - - if (flag1 == _TRUE_) { - if (strstr(string1,"numerical") != NULL) { - ppm->behavior = numerical; - } - else if (strstr(string1,"analytical") != NULL) { - ppm->behavior = analytical; - } - else { - class_stop(errmsg,"Your entry for 'inflation behavior' could not be understood"); - } + /** 7.2.4.b) idm_g temperature dependence */ + if (pth->u_idm_g > 0) { + class_read_double("n_index_idm_g",pth->n_index_idm_g); } } - - else if (ppm->primordial_spec_type == external_Pk) { - class_call(parser_read_string(pfc, "command", &(string1), &(flag1), errmsg), - errmsg, errmsg); - class_test(strlen(string1) == 0, - errmsg, - "You omitted to write a command for the external Pk"); - - ppm->command = (char *) malloc (strlen(string1) + 1); - strcpy(ppm->command, string1); - class_read_double("custom1",ppm->custom1); - class_read_double("custom2",ppm->custom2); - class_read_double("custom3",ppm->custom3); - class_read_double("custom4",ppm->custom4); - class_read_double("custom5",ppm->custom5); - class_read_double("custom6",ppm->custom6); - class_read_double("custom7",ppm->custom7); - class_read_double("custom8",ppm->custom8); - class_read_double("custom9",ppm->custom9); - class_read_double("custom10",ppm->custom10); + /* Checks on budget equation */ + if (has_m_budget == _TRUE_) { + class_test(Omega_m_remaining < pba->Omega0_idm, errmsg, "Too much energy density from massive species. At this point only %e is left for Omega_m, but requested 'Omega_idm = %e'",Omega_m_remaining, pba->Omega0_idm); + Omega_m_remaining -= pba->Omega0_idm; } - /* Tests moved from primordial module: */ - if ((ppm->primordial_spec_type == inflation_V) || (ppm->primordial_spec_type == inflation_H) || (ppm->primordial_spec_type == inflation_V_end)) { - - class_test(ppt->has_scalars == _FALSE_, - errmsg, - "inflationary module cannot work if you do not ask for scalar modes"); - - class_test(ppt->has_vectors == _TRUE_, - errmsg, - "inflationary module cannot work if you ask for vector modes"); - - class_test(ppt->has_tensors == _FALSE_, - errmsg, - "inflationary module cannot work if you do not ask for tensor modes"); - - class_test(ppt->has_bi == _TRUE_ || ppt->has_cdi == _TRUE_ || ppt->has_nid == _TRUE_ || ppt->has_niv == _TRUE_, - errmsg, - "inflationary module cannot work if you ask for isocurvature modes"); + /* We enforce the tight coupling approximation to be first order whenever idm interacts with baryons */ + if (pth->cross_idm_b >0 && (ppr->tight_coupling_approximation != (int)first_order_CLASS)) { + if (ppt->perturbations_verbose > 0) + printf("Warning: Setting the tight_coupling_approximation = first_order_CLASS, since you selected idm-b!\n"); + ppr->tight_coupling_approximation = first_order_CLASS; + } + else if (pth->u_idm_g > 0 && (ppr->tight_coupling_approximation != (int)first_order_CLASS && ppr->tight_coupling_approximation != (int)compromise_CLASS)) { + if (ppt->perturbations_verbose > 0) + printf("Warning: Setting the tight_coupling_approximation = compromise_CLASS, since you selected idm-g!\n"); + ppr->tight_coupling_approximation = compromise_CLASS; } - /** (e) parameters for final spectra */ - - if (ppt->has_cls == _TRUE_) { + /* ** ADDITIONAL SPECIES ** */ - if (ppt->has_scalars == _TRUE_) { - if ((ppt->has_cl_cmb_temperature == _TRUE_) || - (ppt->has_cl_cmb_polarization == _TRUE_) || - (ppt->has_cl_cmb_lensing_potential == _TRUE_)) - class_read_double("l_max_scalars",ppt->l_scalar_max); - if ((ppt->has_cl_lensing_potential == _TRUE_) || (ppt->has_cl_number_count == _TRUE_)) - class_read_double("l_max_lss",ppt->l_lss_max); - } + /** 7.3) Final consistency checks for dark matter species */ - if (ppt->has_vectors == _TRUE_) { - class_read_double("l_max_vectors",ppt->l_vector_max); - } + class_test(fabs(f_cdm + f_idm - 1.) > 1e-10, + errmsg, + "The dark matter species do not add up to the expected value"); - if (ppt->has_tensors == _TRUE_) { - class_read_double("l_max_tensors",ppt->l_tensor_max); - } + /* After all the other possibly non-relativistic species have been determined, we can fianlly compute the CDM density */ + if (has_m_budget == _TRUE_) { + pba->Omega0_cdm = Omega_m_remaining; } - class_call(parser_read_string(pfc, - "lensing", - &(string1), - &(flag1), - errmsg), + /* When the CDM density is determined we can use the previously collected fractions to determine the corresponding densities. First, make sure everything is reasonable*/ + class_test((f_idm > 0.) && (pba->Omega0_cdm == 0.), errmsg, - errmsg); + "If you want a fraction of interacting, to be consistent, you should not set the fraction of CDM to zero"); + class_test(fabs(f_cdm + f_idm - 1.) > ppr->tol_fraction_accuracy, + errmsg, + "The dark matter species do not add up to the expected value"); + if ( f_idm > 0. ) + pba->Omega0_idm = f_idm * pba->Omega0_cdm; + if ( f_cdm < 1. ) + pba->Omega0_cdm = f_cdm * pba->Omega0_cdm; + + /* When the fraction f_idm is about one, Omega0_cdm can + be close to zero, but due to rounding errors it could be slightly + negative; correct for this: */ + if (pba->Omega0_cdm < 0.) + pba->Omega0_cdm = 0.; + + /* avoid Omega0_cdm exactly zero in synchronous gauge */ + if ((ppt->gauge == synchronous) && (pba->Omega0_cdm < ppr->Omega0_cdm_min_synchronous)) { + pba->Omega0_cdm = ppr->Omega0_cdm_min_synchronous; + } - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { + /* At this point all the species should be set, and used for the budget equation below */ - if ((ppt->has_scalars == _TRUE_) && - ((ppt->has_cl_cmb_temperature == _TRUE_) || (ppt->has_cl_cmb_polarization == _TRUE_)) && - (ppt->has_cl_cmb_lensing_potential == _TRUE_)) { - ple->has_lensed_cls = _TRUE_; + /** 8) Dark energy + Omega_0_lambda (cosmological constant), Omega0_fld (dark energy + fluid), Omega0_scf (scalar field), Omega0_smg (scalar modified gravity) */ + /* Read */ + class_call(parser_read_double(pfc,"Omega_Lambda",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"Omega_fld",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"Omega_scf",¶m3,&flag3,errmsg), + errmsg, + errmsg); + // _smg + int flag4; + double param4; + class_call(parser_read_double(pfc,"Omega_smg",¶m4,&flag4,errmsg), + errmsg, + errmsg); + /* Look for Omega_smg_debug if Omega_smg is not specified */ + if (flag4 == _FALSE_){ + class_call(parser_read_double(pfc,"Omega_smg_debug",¶m4,&flag4,errmsg), + errmsg, + errmsg); + if (flag4 == _TRUE_) + pba->Omega_smg_debug = param4; + } + /* Test */ + class_test((flag3 == _TRUE_) && (flag4 == _TRUE_), + errmsg, + "'Omega_scf' or 'Omega_smg' must be zero. It is not possible to have both scalar fields present."); + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && ((flag3 == _FALSE_) || (param3 >= 0.)) && (flag4 == _FALSE_), + errmsg, + "'Omega_Lambda' or 'Omega_fld' must be left unspecified, except if 'Omega_scf' is set and < 0."); + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_) && (flag3 == _FALSE_) && ((flag4 == _FALSE_) || (param4 >= 0.)), + errmsg, + "'Omega_Lambda' or 'Omega_fld' must be left unspecified, except if 'Omega_smg' is set and < 0."); + class_test(((flag1 == _FALSE_)||(flag2 == _FALSE_)) && ((flag3 == _TRUE_) && (param3 < 0.)), + errmsg, + "You have entered 'Omega_scf' < 0 , so you have to specify both 'Omega_lambda' and 'Omega_fld'."); + class_test(((flag1 == _FALSE_)||(flag2 == _FALSE_)) && ((flag4 == _TRUE_) && (param4 < 0.)), + errmsg, + "You have entered 'Omega_smg' < 0 , so you have to specify both 'Omega_lambda' and 'Omega_fld'."); + /* Complete set of parameters + Case of (flag3(4) == _FALSE_) || (param3(4) >= 0.) means that either we have not + read Omega_scf(smg) so we are ignoring it (unlike lambda and fld!) OR we have + read it, but it had a positive value and should not be used for filling. + We now proceed in two steps: + 1) set each Omega0 and add to the total for each specified component. + 2) go through the components in order {lambda, fld, scf(smg)} and fill using + first unspecified component. */ + + /* ** BUDGET EQUATION ** -> Add your species here */ + /* Compute Omega_tot */ + Omega_tot = pba->Omega0_g; + Omega_tot += pba->Omega0_b; + Omega_tot += pba->Omega0_ur; + Omega_tot += pba->Omega0_cdm; + Omega_tot += pba->Omega0_idm; + Omega_tot += pba->Omega0_dcdmdr; + Omega_tot += pba->Omega0_idr; + Omega_tot += pba->Omega0_ncdm_tot; + /* Step 1 */ + if (flag1 == _TRUE_){ + pba->Omega0_lambda = param1; + Omega_tot += pba->Omega0_lambda; + } + if (flag2 == _TRUE_){ + pba->Omega0_fld = param2; + Omega_tot += pba->Omega0_fld; + } + if ((flag3 == _TRUE_) && (param3 >= 0.)){ + pba->Omega0_scf = param3; + Omega_tot += pba->Omega0_scf; + } + if ((flag4 == _TRUE_) && (param4 >= 0.)) { + pba->Omega0_smg = param4; + Omega_tot += pba->Omega0_smg; + } + /* Step 2 */ + if (flag1 == _FALSE_) { + /* Fill with Lambda */ + pba->Omega0_lambda= 1. - pba->Omega0_k - Omega_tot; + if (input_verbose > 0){ + printf(" -> matched budget equations by adjusting Omega_Lambda = %g\n",pba->Omega0_lambda); } - else { - class_stop(errmsg,"you asked for lensed CMB Cls, but this requires a minimal number of options: 'modes' should include 's', 'output' should include 'tCl' and/or 'pCL', and also, importantly, 'lCl', the CMB lensing potential spectrum. You forgot one of those in your input."); + } + else if (flag2 == _FALSE_) { + /* Fill up with fluid */ + pba->Omega0_fld = 1. - pba->Omega0_k - Omega_tot; + if (input_verbose > 0){ + printf(" -> matched budget equations by adjusting Omega_fld = %g\n",pba->Omega0_fld); } } - - if ((ppt->has_scalars == _TRUE_) && - (ppt->has_cl_cmb_lensing_potential == _TRUE_)) { - - class_read_double("lcmb_rescale",ptr->lcmb_rescale); - class_read_double("lcmb_tilt",ptr->lcmb_tilt); - class_read_double("lcmb_pivot",ptr->lcmb_pivot); - + else if ((flag3 == _TRUE_) && (param3 < 0.)){ + /* Fill up with scalar field */ + pba->Omega0_scf = 1. - pba->Omega0_k - Omega_tot; + if (input_verbose > 0){ + printf(" -> matched budget equations by adjusting Omega_scf = %g\n",pba->Omega0_scf); + } + } + else if ((flag4 == _TRUE_) && (param4 < 0.)){ + // Fill up with scalar field + pba->Omega0_smg = 1. - pba->Omega0_k - Omega_tot; + if (input_verbose > 0) printf(" -> budget equations require Omega_smg = %e\n",pba->Omega0_smg); } - if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { + /* ** END OF BUDGET EQUATION ** */ - class_call(parser_read_double(pfc,"P_k_max_h/Mpc",¶m1,&flag1,errmsg), - errmsg, - errmsg); - class_call(parser_read_double(pfc,"P_k_max_1/Mpc",¶m2,&flag2,errmsg), + /** 8.a) If Omega fluid is different from 0 */ + if (pba->Omega0_fld != 0.) { + /** 8.a.1) PPF approximation */ + /* Read */ + class_call(parser_read_string(pfc,"use_ppf",&string1,&flag1,errmsg), errmsg, errmsg); - class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), - errmsg, - "In input file, you cannot enter both P_k_max_h/Mpc and P_k_max_1/Mpc, choose one"); - if (flag1 == _TRUE_) { - ppt->k_max_for_pk=param1*pba->h; - } - if (flag2 == _TRUE_) { - ppt->k_max_for_pk=param2; - } - - class_call(parser_read_list_of_doubles(pfc, - "z_pk", - &(int1), - &(pointer1), - &flag1, - errmsg), - errmsg, - errmsg); - - if (flag1 == _TRUE_) { - class_test(int1 > _Z_PK_NUM_MAX_, - errmsg, - "you want to write some output for %d different values of z, hence you should increase _Z_PK_NUM_MAX_ in include/output.h to at least this number", - int1); - pop->z_pk_num = int1; - for (i=0; iz_pk[i] = pointer1[i]; + if (flag1 == _TRUE_){ + if (string_begins_with(string1,'y') || string_begins_with(string1,'Y')){ + pba->use_ppf = _TRUE_; + class_read_double("c_gamma_over_c_fld",pba->c_gamma_over_c_fld); + } + else { + pba->use_ppf = _FALSE_; } - free(pointer1); } - } - /* deal with selection functions */ - if ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)) { - - class_call(parser_read_string(pfc, - "selection", - &(string1), - &(flag1), - errmsg), + /** 8.a.2) Equation of state */ + /* Read */ + class_call(parser_read_string(pfc,"fluid_equation_of_state",&string1,&flag1,errmsg), errmsg, errmsg); - + /* Complete set of parameters */ if (flag1 == _TRUE_) { - if (strstr(string1,"gaussian") != NULL) { - ppt->selection=gaussian; - } - else if (strstr(string1,"tophat") != NULL) { - ppt->selection=tophat; + if ((strstr(string1,"CLP") != NULL) || (strstr(string1,"clp") != NULL)) { + pba->fluid_equation_of_state = CLP; } - else if (strstr(string1,"dirac") != NULL) { - ppt->selection=dirac; + else if ((strstr(string1,"EDE") != NULL) || (strstr(string1,"ede") != NULL)) { + pba->fluid_equation_of_state = EDE; } else { - class_stop(errmsg,"In selection function input: type %s is unclear",string1); + class_stop(errmsg,"incomprehensible input '%s' for the field 'fluid_equation_of_state'",string1); } } + if (pba->fluid_equation_of_state == CLP) { + /** 8.a.2.2) Equation of state of the fluid in 'CLP' case */ + /* Read */ + class_read_double("w0_fld",pba->w0_fld); + class_read_double("wa_fld",pba->wa_fld); + class_read_double("cs2_fld",pba->cs2_fld); + } + if (pba->fluid_equation_of_state == EDE) { + /** 8.a.2.3) Equation of state of the fluid in 'EDE' case */ + /* Read */ + class_read_double("w0_fld",pba->w0_fld); + class_read_double("Omega_EDE",pba->Omega_EDE); + class_read_double("cs2_fld",pba->cs2_fld); + } + } + + /** 8.b) If Omega scalar field (SCF) is different from 0 */ + if (pba->Omega0_scf != 0.){ + + /** 8.b.1) Additional SCF parameters */ + /* Read */ class_call(parser_read_list_of_doubles(pfc, - "selection_mean", - &(int1), - &(pointer1), + "scf_parameters", + &(pba->scf_parameters_size), + &(pba->scf_parameters), &flag1, errmsg), + errmsg,errmsg); + + /** 8.b.2) SCF initial conditions from attractor solution */ + /* Read */ + class_call(parser_read_string(pfc, + "attractor_ic_scf", + &string1, + &flag1, + errmsg), errmsg, errmsg); - - if ((flag1 == _TRUE_) && (int1>0)) { - - class_test(int1 > _SELECTION_NUM_MAX_, - errmsg, - "you want to compute density Cl's for %d different bins, hence you should increase _SELECTION_NUM_MAX_ in include/transfer.h to at least this number", - int1); - - ppt->selection_num = int1; - for (i=0; i 1000.), - errmsg, - "input of selection functions: you asked for a mean redshift equal to %e, sounds odd", - pointer1[i]); - ppt->selection_mean[i] = pointer1[i]; + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (string_begins_with(string1,'y') || string_begins_with(string1,'Y')){ + pba->attractor_ic_scf = _TRUE_; } - free(pointer1); - /* first set all widths to default; correct eventually later */ - for (i=1; iselection_mean[i]<=ppt->selection_mean[i-1], + else { + pba->attractor_ic_scf = _FALSE_; + /* Test */ + class_test(pba->scf_parameters_size<2, errmsg, - "input of selection functions: the list of mean redshifts must be passed in growing order; you entered %e before %e",ppt->selection_mean[i-1],ppt->selection_mean[i]); - ppt->selection_width[i] = ppt->selection_width[0]; - ptr->selection_bias[i] = ptr->selection_bias[0]; - ptr->selection_magnification_bias[i] = ptr->selection_magnification_bias[0]; + "Since you are not using attractor initial conditions, you must specify phi and its derivative phi' as the last two entries in scf_parameters. See explanatory.ini for more details."); + pba->phi_ini_scf = pba->scf_parameters[pba->scf_parameters_size-2]; + pba->phi_prime_ini_scf = pba->scf_parameters[pba->scf_parameters_size-1]; } + } - class_call(parser_read_list_of_doubles(pfc, - "selection_width", - &(int1), - &(pointer1), - &flag1, - errmsg), - errmsg, - errmsg); - - if ((flag1 == _TRUE_) && (int1>0)) { + /** 8.b.3) SCF tuning parameter */ + /* Read */ + class_read_int("scf_tuning_index",pba->scf_tuning_index); + /* Test */ + class_test(pba->scf_tuning_index >= pba->scf_parameters_size, + errmsg, + "Tuning index 'scf_tuning_index' (%d) is larger than the number of entries (%d) in 'scf_parameters'.", + pba->scf_tuning_index,pba->scf_parameters_size); - if (int1==1) { - for (i=0; iselection_num; i++) { - ppt->selection_width[i] = pointer1[0]; - } - } - else if (int1==ppt->selection_num) { - for (i=0; iselection_width[i] = pointer1[i]; - } - } - else { - class_stop(errmsg, - "In input for selection function, you asked for %d bin centers and %d bin widths; number of bins unclear; you should pass either one bin width (common to all bins) or %d bin widths", - ppt->selection_num,int1,ppt->selection_num); - } - free(pointer1); - } + /** 8.b.4) Shooting parameter */ + /* Read */ + class_read_double("scf_shooting_parameter",pba->scf_parameters[pba->scf_tuning_index]); + /* Complete set of parameters */ + scf_lambda = pba->scf_parameters[0]; + if ((fabs(scf_lambda) < 3.)&&(pba->background_verbose>1)){ + printf("'scf_lambda' = %e < 3 won't be tracking (for exp quint) unless overwritten by tuning function.",scf_lambda); + } + } - class_call(parser_read_list_of_doubles(pfc, - "selection_bias", - &(int1), - &(pointer1), - &flag1, - errmsg), - errmsg, - errmsg); + /** 8.c) If Omega scalar modified gravity (SMG) is different from 0 */ + if (pba->Omega0_smg != 0.) { + class_call( + input_read_parameters_smg(pfc, ppr, pba, ppt, errmsg), + errmsg, + errmsg + ); + }; - if ((flag1 == _TRUE_) && (int1>0)) { + return _SUCCESS_; - if (int1==1) { - for (i=0; iselection_num; i++) { - ptr->selection_bias[i] = pointer1[0]; - } - } - else if (int1==ppt->selection_num) { - for (i=0; iselection_bias[i] = pointer1[i]; - } - } - else { - class_stop(errmsg, - "In input for selection function, you asked for %d bin centers and %d bin biases; number of bins unclear; you should pass either one bin bias (common to all bins) or %d bin biases", - ppt->selection_num,int1,ppt->selection_num); - } - free(pointer1); - } +} - class_call(parser_read_list_of_doubles(pfc, - "selection_magnification_bias", - &(int1), - &(pointer1), - &flag1, - errmsg), - errmsg, - errmsg); - if ((flag1 == _TRUE_) && (int1>0)) { +/** + * Read the parameters of injection structure + * (These are all exotic processes of energy injection) + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pth Input: pointer to thermodynamics structure + * @param errmsg Input: Error message + * @return the error status + */ - if (int1==1) { - for (i=0; iselection_num; i++) { - ptr->selection_magnification_bias[i] = pointer1[0]; - } - } - else if (int1==ppt->selection_num) { - for (i=0; iselection_magnification_bias[i] = pointer1[i]; - } - } - else { - class_stop(errmsg, - "In input for selection function, you asked for %d bin centers and %d bin biases; number of bins unclear; you should pass either one bin bias (common to all bins) or %d bin biases", - ppt->selection_num,int1,ppt->selection_num); - } - free(pointer1); - } +int input_read_parameters_injection(struct file_content * pfc, + struct precision * ppr, + struct thermodynamics * pth, + ErrorMsg errmsg){ - } + /** Summary: */ - if (ppt->selection_num>1) { - class_read_int("non_diagonal",psp->non_diag); - if ((psp->non_diag<0) || (psp->non_diag>=ppt->selection_num)) - class_stop(errmsg, - "Input for non_diagonal is %d, while it is expected to be between 0 and %d\n", - psp->non_diag,ppt->selection_num-1); - } + /** - Define local variables */ + struct injection* pin = &(pth->in); + int flag1; + char string1[_ARGUMENT_LENGTH_MAX_]; + string1[0]='\0'; + + /** 1) DM annihilation */ + /** 1.a) Annihilation efficiency */ + /* Read */ + class_read_double("DM_annihilation_efficiency",pin->DM_annihilation_efficiency); + class_read_double("DM_annihilation_cross_section",pin->DM_annihilation_cross_section); + class_read_double("DM_annihilation_mass",pin->DM_annihilation_mass); + class_read_double("DM_annihilation_fraction",pin->DM_annihilation_fraction); + + /* Test consistency of this input */ + class_test(pin->DM_annihilation_efficiency<0, + errmsg, + "annihilation efficiency cannot be negative"); + class_test(pin->DM_annihilation_efficiency>1.e-4, + errmsg, + "annihilation parameter suspiciously large (%e, while typical bounds are in the range of 1e-7 to 1e-6)",pin->DM_annihilation_efficiency); + class_test(pin->DM_annihilation_mass<0. || pin->DM_annihilation_cross_section <0, + errmsg, + "Both mass and cross section for your dark matter particle must be positive."); + class_test(pin->DM_annihilation_mass ==0 && pin->DM_annihilation_cross_section >0, + errmsg, + "you have annihilation_cross_section > 0 but DM_mass = 0. That is weird, please check your param file and set 'DM_mass' [GeV] to a non-zero value.\n"); + class_test((pin->DM_annihilation_cross_section !=0 || pin->DM_annihilation_mass !=0 || pin->DM_annihilation_fraction !=0) && pin->DM_annihilation_efficiency != 0, + errmsg, + "You can only enter one of {'DM_annihilation_cross_section', 'DM_annihilation_mass', 'DM_annihilation_fraction'} or 'annihilation_efficiency'."); + if ((pin->DM_annihilation_efficiency >0) && (pth->reio_parametrization == reio_none) && (ppr->recfast_Heswitch >= 3) && (pth->recombination==recfast) && (pth->thermodynamics_verbose > 0)) { + printf("Warning: if you have DM annihilation and you use recfast with option recfast_Heswitch >= 3, then the expression for CfHe_t and dy[1] becomes undefined at late times, producing nan's. This is however masked by reionization if you are not in reio_none mode."); + } - class_call(parser_read_string(pfc, - "dNdz_selection", - &(string1), - &(flag1), - errmsg), - errmsg, - errmsg); + /* Complete set of parameters */ + if (pin->DM_annihilation_mass > 0 && pin->DM_annihilation_cross_section > 0.){ + pin->DM_annihilation_efficiency = pin->DM_annihilation_cross_section*1.e-6/(pin->DM_annihilation_mass*_eV_*1.e9)*pow(pin->DM_annihilation_fraction,2); + } - if ((flag1 == _TRUE_)) { - if ((strstr(string1,"analytic") != NULL)) - ptr->has_nz_analytic = _TRUE_; - else{ - ptr->has_nz_file = _TRUE_; - class_read_string("dNdz_selection",ptr->nz_file_name); - } - } + if (pin->DM_annihilation_efficiency > 0){ + pth->has_exotic_injection = _TRUE_; + } - class_call(parser_read_string(pfc, - "dNdz_evolution", - &(string1), - &(flag1), - errmsg), + if (pin->DM_annihilation_efficiency > 0.) { + /** 1.a.1) Model energy fraction absorbed by the gas as a function of redhsift */ + /* Read */ + class_read_double("DM_annihilation_variation",pin->DM_annihilation_variation); + class_read_double("DM_annihilation_z",pin->DM_annihilation_z); + class_read_double("DM_annihilation_zmax",pin->DM_annihilation_zmax); + class_read_double("DM_annihilation_zmin",pin->DM_annihilation_zmin); + class_read_double("DM_annihilation_f_halo",pin->DM_annihilation_f_halo); + class_read_double("DM_annihilation_z_halo",pin->DM_annihilation_z_halo); + /* Test */ + class_test(pin->DM_annihilation_variation>0, errmsg, - errmsg); - - if ((flag1 == _TRUE_)) { - if ((strstr(string1,"analytic") != NULL)) - ptr->has_nz_evo_analytic = _TRUE_; - else{ - ptr->has_nz_evo_file = _TRUE_; - class_read_string("dNdz_evolution",ptr->nz_evo_file_name); - } - } - - flag1 = _FALSE_; - class_call(parser_read_double(pfc,"bias",¶m1,&flag1,errmsg), + "annihilation variation parameter must be negative (decreasing annihilation rate)"); + class_test(pin->DM_annihilation_z<0, errmsg, - errmsg); - class_test(flag1 == _TRUE_, + "characteristic annihilation redshift cannot be negative"); + class_test(pin->DM_annihilation_zmin<0, errmsg, - "the input parameter 'bias' is obsolete, because you can now pass an independent light-to-mass bias for each bin/selection function. The new input name is 'selection_bias'. It can be set to a single number (common bias for all bins) or as many numbers as the number of bins"); - - flag1 = _FALSE_; - class_call(parser_read_double(pfc,"s_bias",¶m1,&flag1,errmsg), + "characteristic annihilation redshift cannot be negative"); + class_test(pin->DM_annihilation_zmax<0, errmsg, - errmsg); - class_test(flag1 == _TRUE_, + "characteristic annihilation redshift cannot be negative"); + class_test(pin->DM_annihilation_f_halo<0, errmsg, - "the input parameter 's_bias' is obsolete, because you can now pass an independent magnitude bias for each bin/selection function. The new input name is 'selection_magnitude_bias'. It can be set to a single number (common magnitude bias for all bins) or as many numbers as the number of bins"); - + "Parameter for DM annihilation in halos cannot be negative"); + class_test(pin->DM_annihilation_z_halo<0, + errmsg, + "Parameter for DM annihilation in halos cannot be negative"); } - /* end of selection function section */ - /* deal with z_max issues */ - if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_) || (ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)) { + /** 2) DM decay */ + /** 2.a) Fraction */ + /* Read */ + class_read_double("DM_decay_fraction",pin->DM_decay_fraction); + if (pin->DM_decay_fraction!=0){ + pth->has_exotic_injection = _TRUE_; + } + /* Test */ + class_test(pin->DM_decay_fraction<0, + errmsg, + "You need to enter a positive fraction of decaying DM. Please adjust your param file."); - class_call(parser_read_double(pfc,"z_max_pk",¶m1,&flag1,errmsg), - errmsg, - errmsg); + /** 2.b) Decay width */ + /* Read */ + class_read_double("DM_decay_Gamma",pin->DM_decay_Gamma); - if (flag1==_TRUE_) { - ppt->z_max_pk = param1; - } - else { - ppt->z_max_pk = 0.; - if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { - for (i=0; iz_pk_num; i++) { - ppt->z_max_pk = MAX(ppt->z_max_pk,pop->z_pk[i]); - } - } + /** 3) PBH evaporation */ + /** 3.a) Fraction */ + /* Read */ + class_read_double("PBH_evaporation_fraction",pin->PBH_evaporation_fraction); + if (pin->PBH_evaporation_fraction!=0){ + pth->has_exotic_injection = _TRUE_; + } + /* Test */ + class_test(pin->PBH_evaporation_fraction <0., + errmsg, + "You need to enter a positive fraction of evaporating PBH. Please adjust your param file."); - if ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)) { + /** 3.b) Mass */ + /* Read */ + class_read_double("PBH_evaporation_mass",pin->PBH_evaporation_mass); + /* Test */ + class_test(pin->PBH_evaporation_mass<0., + errmsg, + "You need to enter a positive mass for your PBH."); + class_test(pin->PBH_evaporation_mass>0. && pin->PBH_evaporation_fraction == 0, + errmsg, + "You have 'PBH_evaporation_mass > 0.' but 'PBH_evaporation_fraction = 0'. Please adjust your param file."); + class_test(pin->PBH_evaporation_fraction>0. && pin->PBH_evaporation_mass == 0., + errmsg, + "You have asked for a fraction of PBH being DM but you have zero mass. Please adjust your param file."); - for (bin=0; binselection_num; bin++) { - /* the few lines below should be consistent with their counterpart in transfer.c, in transfer_selection_times() */ - if (ppt->selection==gaussian) { - z_max = ppt->selection_mean[bin]+ppt->selection_width[bin]*ppr->selection_cut_at_sigma; - } - if (ppt->selection==tophat) { - z_max = ppt->selection_mean[bin]+(1.+ppr->selection_cut_at_sigma*ppr->selection_tophat_edge)*ppt->selection_width[bin]; - } - if (ppt->selection==dirac) { - z_max = ppt->selection_mean[bin]; - } - ppt->z_max_pk = MAX(ppt->z_max_pk,z_max); - } - } - } - psp->z_max_pk = ppt->z_max_pk; + /** 4) PBH matter accretion */ + /** 4.a) Fraction */ + /* Read */ + class_read_double("PBH_accretion_fraction",pin->PBH_accretion_fraction); + if (pin->PBH_accretion_fraction!=0){ + pth->has_exotic_injection = _TRUE_; } - /* end of z_max section */ + /* Test */ + class_test(pin->PBH_accretion_fraction < 0., + errmsg, + "You need to enter a positive fraction of accreting PBH. Please adjust your param file."); - class_call(parser_read_string(pfc,"root",&string1,&flag1,errmsg), + /** 4.b) Mass */ + /* Read */ + class_read_double("PBH_accretion_mass",pin->PBH_accretion_mass); + /* Test */ + class_test(pin->PBH_accretion_mass<0., errmsg, - errmsg); - if (flag1 == _TRUE_){ - class_test(strlen(string1)>_FILENAMESIZE_-32,errmsg,"Root directory name is too long. Please install in other directory, or increase _FILENAMESIZE_ in common.h"); - strcpy(pop->root,string1); - } - class_call(parser_read_string(pfc, - "headers", - &(string1), - &(flag1), - errmsg), + "You need to enter a positive mass for your PBH."); + class_test(pin->PBH_accretion_mass>0. && pin->PBH_accretion_fraction == 0, errmsg, - errmsg); - - if ((flag1 == _TRUE_) && ((strstr(string1,"y") == NULL) && (strstr(string1,"Y") == NULL))) { - pop->write_header = _FALSE_; - } + "You have 'PBH_accretion_mass > 0.' but 'PBH_accretion_fraction = 0'. Please adjust your param file."); + class_test(pin->PBH_accretion_fraction>0. && pin->PBH_accretion_mass == 0., + errmsg, + "You have asked for a fraction of PBH being DM but you have zero mass. Please adjust your param file."); - class_call(parser_read_string(pfc,"format",&string1,&flag1,errmsg), + /** 4.c) Recipe */ + /* Read */ + class_call(parser_read_string(pfc,"PBH_accretion_recipe",&string1,&flag1,errmsg), errmsg, errmsg); - - if (flag1 == _TRUE_) { - - if ((strstr(string1,"class") != NULL) || (strstr(string1,"CLASS") != NULL)) - pop->output_format = class_format; - else { - if ((strstr(string1,"camb") != NULL) || (strstr(string1,"CAMB") != NULL)) - pop->output_format = camb_format; - else - class_stop(errmsg, - "You wrote: format=%s. Could not identify any of the possible formats ('class', 'CLASS', 'camb', 'CAMB')",string1); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strcmp(string1,"spherical_accretion") == 0) { + pin->PBH_accretion_recipe=spherical_accretion; + } + else if (strcmp(string1,"disk_accretion") == 0) { + pin->PBH_accretion_recipe=disk_accretion; + } + else{ + class_stop(errmsg, + "You specified 'PBH_accretion_recipe' as '%s'. It has to be one of {'spherical_accretion','disk_accretion'}.",string1); } } - /** (f) parameter related to the non-linear spectra computation */ - - class_call(parser_read_string(pfc, - "non linear", - &(string1), - &(flag1), - errmsg), - errmsg, - errmsg); + /** 4.c.1) Additional parameters specific for spherical accretion */ + if (pin->PBH_accretion_recipe == spherical_accretion){ + /* Read */ + class_read_double("PBH_accretion_relative_velocities",pin->PBH_accretion_relative_velocities); + } - if (flag1 == _TRUE_) { + /** 4.c.2) Additional parameters specific for disk accretion */ + if (pin->PBH_accretion_recipe == disk_accretion){ + /* Read */ + class_read_double("PBH_accretion_ADAF_delta",pin->PBH_accretion_ADAF_delta); + class_read_double("PBH_accretion_eigenvalue",pin->PBH_accretion_eigenvalue); + /* Test */ + class_test(pin->PBH_accretion_ADAF_delta != 1e-3 && pin->PBH_accretion_ADAF_delta != 0.5 && pin->PBH_accretion_ADAF_delta != 0.1, + errmsg, + "The parameter 'pth->PBH_ADAF_delta' can currently only be set to 1e-3, 0.1 or 0.5."); + } - class_test(ppt->has_perturbations == _FALSE_, errmsg, "You requested non linear computation but no linear computation. You must set output to tCl or similar."); - if ((strstr(string1,"halofit") != NULL) || (strstr(string1,"Halofit") != NULL) || (strstr(string1,"HALOFIT") != NULL)) { - pnl->method=nl_halofit; - ppt->has_nl_corrections_based_on_delta_m = _TRUE_; + /** 5) Injection efficiency */ + /* Read */ + class_call(parser_read_string(pfc,"f_eff_type",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strcmp(string1,"on_the_spot") == 0){ + pin->f_eff_type = f_eff_on_the_spot; + class_read_double("f_eff",pin->f_eff); + } + else if (strcmp(string1,"from_file") == 0){ + pin->f_eff_type = f_eff_from_file; + /* Read */ + class_call(parser_read_string(pfc,"f_eff_file",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(flag1 == _FALSE_, + errmsg, + "for the option 'from_file' for 'f_eff_type' the option 'f_eff_file' is required."); + /* Complete set of parameters */ + strcpy(pin->f_eff_file, string1); + } + else{ + class_stop(errmsg, + "You specified 'f_eff_type' as '%s'. It has to be one of {'on_the_spot','from_file'}.",string1); } - } - /** (g) amount of information sent to standard output (none if all set to zero) */ + /** 6) deposition function */ + /* Read */ + class_call(parser_read_string(pfc,"chi_type",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strcmp(string1,"CK_2004") == 0){ + pin->chi_type = chi_CK; + } + else if (strcmp(string1,"PF_2005") == 0){ + pin->chi_type = chi_PF; + } + else if (strcmp(string1,"Galli_2013_file") == 0){ + pin->chi_type = chi_Galli_file; + } + else if (strcmp(string1,"Galli_2013_analytic") == 0){ + pin->chi_type = chi_Galli_analytic; + } + else if (strcmp(string1,"heat") == 0){ + pin->chi_type = chi_full_heating; + } + else if (strcmp(string1,"from_x_file") == 0){ + pin->chi_type = chi_from_x_file; + } + else if (strcmp(string1,"from_z_file") == 0){ + pin->chi_type = chi_from_z_file; + } + else{ + class_stop(errmsg, + "You specified 'chi_type' as '%s'. It has to be one of {'CK_2004','PF_2005','Galli_2013_file','Galli_2013_analytic','heat','from_x_file','from_z_file'}.",string1); + } + } - class_read_int("background_verbose", - pba->background_verbose); + if (pin->chi_type == chi_from_x_file || pin->chi_type == chi_from_z_file){ + /** 6.a) External file */ + /* Read */ + class_call(parser_read_string(pfc,"chi_file",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Test */ + class_test(flag1 == _FALSE_, + errmsg, + "for the option 'from_x_file' or 'from_z_file' for 'chi_type' the option 'chi_file' is required."); + /* Complete set of parameters */ + strcpy(pin->chi_z_file, string1); + strcpy(pin->chi_x_file, string1); + } - class_read_int("thermodynamics_verbose", - pth->thermodynamics_verbose); + return _SUCCESS_; - class_read_int("perturbations_verbose", - ppt->perturbations_verbose); +} - class_read_int("transfer_verbose", - ptr->transfer_verbose); - class_read_int("primordial_verbose", - ppm->primordial_verbose); +/** + * Read the parameters of fourier structure. + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbations structure + * @param pfo Input: pointer to fourier structure + * @param input_verbose Input: verbosity of input + * @param errmsg Input: Error message + * @return the error status + */ - class_read_int("spectra_verbose", - psp->spectra_verbose); +int input_read_parameters_nonlinear(struct file_content * pfc, + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + struct fourier * pfo, + int input_verbose, + ErrorMsg errmsg){ + + /** Define local variables */ + int flag1,flag2,flag3; + double param1,param2,param3; + char string1[_ARGUMENT_LENGTH_MAX_]; - class_read_int("nonlinear_verbose", - pnl->nonlinear_verbose); + /** 1) Non-linearity */ + /* Read */ + class_call(parser_read_string(pfc,"non_linear",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Compatibility code BEGIN */ + if (flag1 == _FALSE_){ + class_call(parser_read_string(pfc,"non linear",&string1,&flag1,errmsg), + errmsg, + errmsg); + } + /* Compatibility code END */ - class_read_int("lensing_verbose", - ple->lensing_verbose); + if (flag1 == _TRUE_) { + /* Test */ + class_test(ppt->has_perturbations == _FALSE_, + errmsg, + "You requested non-linear computation but no perturbations. You must set the 'output' field."); + /* Complete set of parameters */ + if ((strstr(string1,"halofit") != NULL) || (strstr(string1,"Halofit") != NULL) || (strstr(string1,"HALOFIT") != NULL)) { + pfo->method=nl_halofit; + ppt->has_nl_corrections_based_on_delta_m = _TRUE_; - class_read_int("output_verbose", - pop->output_verbose); + /* Compatibility code BEGIN */ + class_call(parser_read_double(pfc,"halofit_min_k_max",¶m1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + ppr->nonlinear_min_k_max = MAX(ppr->nonlinear_min_k_max,param1); + } + /* Compatibility code END */ + } + else if ((strstr(string1,"hmcode") != NULL) || (strstr(string1,"HMCODE") != NULL) || (strstr(string1,"HMcode") != NULL) || (strstr(string1,"Hmcode") != NULL)) { + pfo->method=nl_HMcode; - /** (h) all precision parameters */ + /* Compatibility code BEGIN */ + class_call(parser_read_double(pfc,"hmcode_min_k_max",¶m1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + ppr->nonlinear_min_k_max = MAX(ppr->nonlinear_min_k_max,param1); + } + /* Compatibility code END */ - /** - (h.1.) parameters related to the background */ + ppt->has_nl_corrections_based_on_delta_m = _TRUE_; + class_read_int("extrapolation_method",pfo->extrapolation_method); - class_read_double("a_ini_over_a_today_default",ppr->a_ini_over_a_today_default); - class_read_double("back_integration_stepsize",ppr->back_integration_stepsize); - class_read_double("tol_background_integration",ppr->tol_background_integration); - class_read_double("tol_initial_Omega_r",ppr->tol_initial_Omega_r); - class_read_double("tol_ncdm_initial_w",ppr->tol_ncdm_initial_w); - class_read_double("safe_phi_scf",ppr->safe_phi_scf); - class_read_double("safe_phi_scf",ppr->safe_phi_scf); - class_read_double("tol_tau_eq",ppr->tol_tau_eq); + class_call(parser_read_string(pfc, + "feedback model", + &(string1), + &(flag1), + errmsg), + errmsg, + errmsg); - /** - (h.2.) parameters related to the thermodynamics */ + if (flag1 == _TRUE_) { - class_read_string("sBBN file",ppr->sBBN_file); + if (strstr(string1,"emu_dmonly") != NULL) { + pfo->feedback = nl_emu_dmonly; + } + if (strstr(string1,"owls_dmonly") != NULL) { + pfo->feedback = nl_owls_dmonly; + } + if (strstr(string1,"owls_ref") != NULL) { + pfo->feedback = nl_owls_ref; + } + if (strstr(string1,"owls_agn") != NULL) { + pfo->feedback = nl_owls_agn; + } + if (strstr(string1,"owls_dblim") != NULL) { + pfo->feedback = nl_owls_dblim; + } + } - class_read_double("recfast_z_initial",ppr->recfast_z_initial); + class_call(parser_read_double(pfc,"eta_0",¶m2,&flag2,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"c_min",¶m3,&flag3,errmsg), + errmsg, + errmsg); - class_read_int("recfast_Nz0",ppr->recfast_Nz0); - class_read_double("tol_thermo_integration",ppr->tol_thermo_integration); + class_test(((flag1 == _TRUE_) && ((flag2 == _TRUE_) || (flag3 == _TRUE_))), + errmsg, + "In input file, you cannot enter both a baryonic feedback model and a choice of baryonic feedback parameters, choose one of both methods"); - class_read_int("recfast_Heswitch",ppr->recfast_Heswitch); - class_read_double("recfast_fudge_He",ppr->recfast_fudge_He); + if ((flag2 == _TRUE_) && (flag3 == _TRUE_)) { + pfo->feedback = nl_user_defined; + class_read_double("eta_0", pfo->eta_0); + class_read_double("c_min", pfo->c_min); + } + else if ((flag2 == _TRUE_) && (flag3 == _FALSE_)) { + pfo->feedback = nl_user_defined; + class_read_double("eta_0", pfo->eta_0); + pfo->c_min = (0.98 - pfo->eta_0)/0.12; + } + else if ((flag2 == _FALSE_) && (flag3 == _TRUE_)) { + pfo->feedback = nl_user_defined; + class_read_double("c_min", pfo->c_min); + pfo->eta_0 = 0.98 - 0.12*pfo->c_min; + } - class_read_int("recfast_Hswitch",ppr->recfast_Hswitch); - class_read_double("recfast_fudge_H",ppr->recfast_fudge_H); - if (ppr->recfast_Hswitch == _TRUE_) { - class_read_double("recfast_delta_fudge_H",ppr->recfast_delta_fudge_H); - class_read_double("recfast_AGauss1",ppr->recfast_AGauss1); - class_read_double("recfast_AGauss2",ppr->recfast_AGauss2); - class_read_double("recfast_zGauss1",ppr->recfast_zGauss1); - class_read_double("recfast_zGauss2",ppr->recfast_zGauss2); - class_read_double("recfast_wGauss1",ppr->recfast_wGauss1); - class_read_double("recfast_wGauss2",ppr->recfast_wGauss2); + class_read_double("z_infinity", pfo->z_infinity); + } + else if (strstr(string1,"no")!=NULL){ + pfo->method=nl_none; + ppt->has_nl_corrections_based_on_delta_m = _FALSE_; + } + else { + class_stop(errmsg, + "You specified 'non_linear' = '%s'. It has to be one of {'halofit','hmcode','none'}.",string1); + } } - class_read_double("recfast_z_He_1",ppr->recfast_z_He_1); - class_read_double("recfast_delta_z_He_1",ppr->recfast_delta_z_He_1); - class_read_double("recfast_z_He_2",ppr->recfast_z_He_2); - class_read_double("recfast_delta_z_He_2",ppr->recfast_delta_z_He_2); - class_read_double("recfast_z_He_3",ppr->recfast_z_He_3); - class_read_double("recfast_delta_z_He_3",ppr->recfast_delta_z_He_3); - class_read_double("recfast_x_He0_trigger",ppr->recfast_x_He0_trigger); - class_read_double("recfast_x_He0_trigger2",ppr->recfast_x_He0_trigger2); - class_read_double("recfast_x_He0_trigger_delta",ppr->recfast_x_He0_trigger_delta); - class_read_double("recfast_x_H0_trigger",ppr->recfast_x_H0_trigger); - class_read_double("recfast_x_H0_trigger2",ppr->recfast_x_H0_trigger2); - class_read_double("recfast_x_H0_trigger_delta",ppr->recfast_x_H0_trigger_delta); - class_read_double("recfast_H_frac",ppr->recfast_H_frac); - - class_read_string("Alpha_inf hyrec file",ppr->hyrec_Alpha_inf_file); - class_read_string("R_inf hyrec file",ppr->hyrec_R_inf_file); - class_read_string("two_photon_tables hyrec file",ppr->hyrec_two_photon_tables_file); + /** - special steps if we want Halofit with wa_fld non-zero: + so-called "Pk_equal method" of 0810.0190 and 1601.07230 */ - class_read_double("reionization_z_start_max",ppr->reionization_z_start_max); - class_read_double("reionization_sampling",ppr->reionization_sampling); - class_read_double("reionization_optical_depth_tol",ppr->reionization_optical_depth_tol); - class_read_double("reionization_start_factor",ppr->reionization_start_factor); + if (pfo->method == nl_halofit) { - class_read_int("thermo_rate_smoothing_radius",ppr->thermo_rate_smoothing_radius); - - /** - (h.3.) parameters related to the perturbations */ - - class_read_int("evolver",ppr->evolver); - - class_read_double("k_scalar_min_tau0",ppr->k_min_tau0); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_max_tau0_over_l_max",ppr->k_max_tau0_over_l_max); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_step_sub",ppr->k_step_sub); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_step_super",ppr->k_step_super); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_step_transition",ppr->k_step_transition); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_k_per_decade_for_pk",ppr->k_per_decade_for_pk); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_k_per_decade_for_bao",ppr->k_per_decade_for_bao); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_bao_center",ppr->k_bao_center); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_scalar_bao_width",ppr->k_bao_width); // obsolete precision parameter: read for compatibility with old precision files - - class_read_double("k_min_tau0",ppr->k_min_tau0); - class_read_double("k_max_tau0_over_l_max",ppr->k_max_tau0_over_l_max); - class_read_double("k_step_sub",ppr->k_step_sub); - class_read_double("k_step_super",ppr->k_step_super); - class_read_double("k_step_transition",ppr->k_step_transition); - class_read_double("k_step_super_reduction",ppr->k_step_super_reduction); - class_read_double("k_per_decade_for_pk",ppr->k_per_decade_for_pk); - class_read_double("k_per_decade_for_bao",ppr->k_per_decade_for_bao); - class_read_double("k_bao_center",ppr->k_bao_center); - class_read_double("k_bao_width",ppr->k_bao_width); - - class_read_double("start_small_k_at_tau_c_over_tau_h",ppr->start_small_k_at_tau_c_over_tau_h); - class_read_double("start_large_k_at_tau_h_over_tau_k",ppr->start_large_k_at_tau_h_over_tau_k); - class_read_double("tight_coupling_trigger_tau_c_over_tau_h",ppr->tight_coupling_trigger_tau_c_over_tau_h); - class_read_double("tight_coupling_trigger_tau_c_over_tau_k",ppr->tight_coupling_trigger_tau_c_over_tau_k); - class_read_double("start_sources_at_tau_c_over_tau_h",ppr->start_sources_at_tau_c_over_tau_h); - - class_read_int("tight_coupling_approximation",ppr->tight_coupling_approximation); - - if (ppt->has_tensors == _TRUE_) { - /** - ---> Include ur and ncdm shear in tensor computation? */ - class_call(parser_read_string(pfc,"tensor method",&string1,&flag1,errmsg), + class_call(parser_read_string(pfc,"pk_eq",&string1,&flag1,errmsg), errmsg, errmsg); - if (flag1 == _TRUE_) { - if (strstr(string1,"photons") != NULL) - ppt->tensor_method = tm_photons_only; - if (strstr(string1,"massless") != NULL) - ppt->tensor_method = tm_massless_approximation; - if (strstr(string1,"exact") != NULL) - ppt->tensor_method = tm_exact; - } - } - - /** - ---> derivatives of baryon sound speed only computed if some non-minimal tight-coupling schemes is requested */ - if ((ppr->tight_coupling_approximation == (int)first_order_CLASS) || (ppr->tight_coupling_approximation == (int)second_order_CLASS)) { - pth->compute_cb2_derivatives = _TRUE_; - } - - class_read_int("l_max_g",ppr->l_max_g); - class_read_int("l_max_pol_g",ppr->l_max_pol_g); - class_read_int("l_max_dr",ppr->l_max_dr); - class_read_int("l_max_ur",ppr->l_max_ur); - if (pba->N_ncdm>0) - class_read_int("l_max_ncdm",ppr->l_max_ncdm); - class_read_int("l_max_g_ten",ppr->l_max_g_ten); - class_read_int("l_max_pol_g_ten",ppr->l_max_pol_g_ten); - class_read_double("curvature_ini",ppr->curvature_ini); - class_read_double("entropy_ini",ppr->entropy_ini); - class_read_double("gw_ini",ppr->gw_ini); - class_read_double("perturb_integration_stepsize",ppr->perturb_integration_stepsize); - class_read_double("tol_tau_approx",ppr->tol_tau_approx); - class_read_double("tol_perturb_integration",ppr->tol_perturb_integration); - class_read_double("perturb_sampling_stepsize",ppr->perturb_sampling_stepsize); - - class_read_int("radiation_streaming_approximation",ppr->radiation_streaming_approximation); - class_read_double("radiation_streaming_trigger_tau_over_tau_k",ppr->radiation_streaming_trigger_tau_over_tau_k); - class_read_double("radiation_streaming_trigger_tau_c_over_tau",ppr->radiation_streaming_trigger_tau_c_over_tau); - - class_read_int("ur_fluid_approximation",ppr->ur_fluid_approximation); - class_read_int("ncdm_fluid_approximation",ppr->ncdm_fluid_approximation); - class_read_double("ur_fluid_trigger_tau_over_tau_k",ppr->ur_fluid_trigger_tau_over_tau_k); - class_read_double("ncdm_fluid_trigger_tau_over_tau_k",ppr->ncdm_fluid_trigger_tau_over_tau_k); - - class_test(ppr->ur_fluid_trigger_tau_over_tau_k==ppr->radiation_streaming_trigger_tau_over_tau_k, - errmsg, - "please choose different values for precision parameters ur_fluid_trigger_tau_over_tau_k and radiation_streaming_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); - - if (pba->N_ncdm>0) { - class_test(ppr->ncdm_fluid_trigger_tau_over_tau_k==ppr->radiation_streaming_trigger_tau_over_tau_k, - errmsg, - "please choose different values for precision parameters ncdm_fluid_trigger_tau_over_tau_k and radiation_streaming_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { - class_test(ppr->ncdm_fluid_trigger_tau_over_tau_k==ppr->ur_fluid_trigger_tau_over_tau_k, - errmsg, - "please choose different values for precision parameters ncdm_fluid_trigger_tau_over_tau_k and ur_fluid_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + if ((pba->Omega0_fld != 0.) && (pba->wa_fld != 0.)){ + pfo->has_pk_eq = _TRUE_; + } + } } - class_read_double("neglect_CMB_sources_below_visibility",ppr->neglect_CMB_sources_below_visibility); - - /** - (h.4.) parameter related to the primordial spectra */ - - class_read_double("k_per_decade_primordial",ppr->k_per_decade_primordial); - class_read_double("primordial_inflation_ratio_min",ppr->primordial_inflation_ratio_min); - class_read_double("primordial_inflation_ratio_max",ppr->primordial_inflation_ratio_max); - class_read_int("primordial_inflation_phi_ini_maxit",ppr->primordial_inflation_phi_ini_maxit); - class_read_double("primordial_inflation_pt_stepsize",ppr->primordial_inflation_pt_stepsize); - class_read_double("primordial_inflation_bg_stepsize",ppr->primordial_inflation_bg_stepsize); - class_read_double("primordial_inflation_tol_integration",ppr->primordial_inflation_tol_integration); - class_read_double("primordial_inflation_attractor_precision_pivot",ppr->primordial_inflation_attractor_precision_pivot); - class_read_double("primordial_inflation_attractor_precision_initial",ppr->primordial_inflation_attractor_precision_initial); - class_read_int("primordial_inflation_attractor_maxit",ppr->primordial_inflation_attractor_maxit); - class_read_double("primordial_inflation_tol_curvature",ppr->primordial_inflation_tol_curvature); - class_read_double("primordial_inflation_aH_ini_target",ppr->primordial_inflation_aH_ini_target); - class_read_double("primordial_inflation_end_dphi",ppr->primordial_inflation_end_dphi); - class_read_double("primordial_inflation_end_logstep",ppr->primordial_inflation_end_logstep); - class_read_double("primordial_inflation_small_epsilon",ppr->primordial_inflation_small_epsilon); - class_read_double("primordial_inflation_small_epsilon_tol",ppr->primordial_inflation_small_epsilon_tol); - class_read_double("primordial_inflation_extra_efolds",ppr->primordial_inflation_extra_efolds); - - /** - (h.5.) parameter related to the transfer functions */ - - class_read_double("l_logstep",ppr->l_logstep); - class_read_int("l_linstep",ppr->l_linstep); - - class_read_double("hyper_x_min",ppr->hyper_x_min); - class_read_double("hyper_sampling_flat",ppr->hyper_sampling_flat); - class_read_double("hyper_sampling_curved_low_nu",ppr->hyper_sampling_curved_low_nu); - class_read_double("hyper_sampling_curved_high_nu",ppr->hyper_sampling_curved_high_nu); - class_read_double("hyper_nu_sampling_step",ppr->hyper_nu_sampling_step); - class_read_double("hyper_phi_min_abs",ppr->hyper_phi_min_abs); - class_read_double("hyper_x_tol",ppr->hyper_x_tol); - class_read_double("hyper_flat_approximation_nu",ppr->hyper_flat_approximation_nu); - - class_read_double("q_linstep",ppr->q_linstep); - class_read_double("q_logstep_spline",ppr->q_logstep_spline); - class_read_double("q_logstep_open",ppr->q_logstep_open); - class_read_double("q_logstep_trapzd",ppr->q_logstep_trapzd); - class_read_double("q_numstep_transition",ppr->q_numstep_transition); - - class_read_double("k_step_trans_scalars",ppr->q_linstep); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_step_trans_tensors",ppr->q_linstep); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("k_step_trans",ppr->q_linstep); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("q_linstep_trans",ppr->q_linstep); // obsolete precision parameter: read for compatibility with old precision files - class_read_double("q_logstep_trans",ppr->q_logstep_spline); // obsolete precision parameter: read for compatibility with old precision files - - class_read_double("transfer_neglect_delta_k_S_t0",ppr->transfer_neglect_delta_k_S_t0); - class_read_double("transfer_neglect_delta_k_S_t1",ppr->transfer_neglect_delta_k_S_t1); - class_read_double("transfer_neglect_delta_k_S_t2",ppr->transfer_neglect_delta_k_S_t2); - class_read_double("transfer_neglect_delta_k_S_e",ppr->transfer_neglect_delta_k_S_e); - class_read_double("transfer_neglect_delta_k_V_t1",ppr->transfer_neglect_delta_k_V_t1); - class_read_double("transfer_neglect_delta_k_V_t2",ppr->transfer_neglect_delta_k_V_t2); - class_read_double("transfer_neglect_delta_k_V_e",ppr->transfer_neglect_delta_k_V_e); - class_read_double("transfer_neglect_delta_k_V_b",ppr->transfer_neglect_delta_k_V_b); - class_read_double("transfer_neglect_delta_k_T_t2",ppr->transfer_neglect_delta_k_T_t2); - class_read_double("transfer_neglect_delta_k_T_e",ppr->transfer_neglect_delta_k_T_e); - class_read_double("transfer_neglect_delta_k_T_b",ppr->transfer_neglect_delta_k_T_b); - - class_read_double("transfer_neglect_late_source",ppr->transfer_neglect_late_source); - - class_read_double("l_switch_limber",ppr->l_switch_limber); - - class_call(parser_read_string(pfc, - "l_switch_limber_for_cl_density_over_z", - &string1, - &flag1, - errmsg), - errmsg, - errmsg); - - class_test(flag1 == _TRUE_, - errmsg, - "You passed in input a precision parameter called l_switch_limber_for_cl_density_over_z. This syntax is deprecated since v2.5.0. Please use instead the two precision parameters l_switch_limber_for_nc_local_over_z, l_switch_limber_for_nc_los_over_z, defined in include/common.h, and allowing for better performance."); + return _SUCCESS_; +} - class_read_double("l_switch_limber_for_nc_local_over_z",ppr->l_switch_limber_for_nc_local_over_z); - class_read_double("l_switch_limber_for_nc_los_over_z",ppr->l_switch_limber_for_nc_los_over_z); - class_read_double("selection_cut_at_sigma",ppr->selection_cut_at_sigma); - class_read_double("selection_sampling",ppr->selection_sampling); - class_read_double("selection_sampling_bessel",ppr->selection_sampling_bessel); - class_read_double("selection_sampling_bessel_los",ppr->selection_sampling_bessel_los); - class_read_double("selection_tophat_edge",ppr->selection_tophat_edge); +/** + * Perform preliminary steps fur using the method called Pk_equal, + * described in 0810.0190 and 1601.07230, extending the range of + * validity of HALOFIT from constant w to (w0,wa) models. In that + * case, one must compute here some effective values of w0_eff(z_i) + * and Omega_m_eff(z_i), that will be interpolated later at arbitrary + * redshift in the non-linear module. + * + * Returns table of values [z_i, tau_i, w0_eff_i, Omega_m_eff_i] + * stored in fourier structure. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param pfo Input/Output: pointer to fourier structure + * @param input_verbose Input: verbosity of this input module + * @param errmsg Input/Ouput: error message + * @return the error status + */ - /** - (h.6.) parameters related to nonlinear calculations */ +int input_prepare_pk_eq(struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct fourier *pfo, + int input_verbose, + ErrorMsg errmsg) { - class_read_double("halofit_min_k_nonlinear",ppr->halofit_min_k_nonlinear); - class_read_double("halofit_min_k_max",ppr->halofit_min_k_max); - class_read_double("halofit_k_per_decade",ppr->halofit_k_per_decade); - class_read_double("halofit_sigma_precision",ppr->halofit_sigma_precision); - class_read_double("halofit_tol_sigma",ppr->halofit_tol_sigma); - class_read_double("pk_eq_z_max",ppr->pk_eq_z_max); - class_read_double("pk_eq_tol",ppr->pk_eq_tol); + /** Summary: */ - /** - (h.7.) parameter related to lensing */ + /** Define local variables */ + double tau_of_z; + double delta_tau; + double error; + double delta_tau_eq; + double * pvecback; + int last_index=0; + int index_pk_eq_z; + int index_eq; + int true_background_verbose; + int true_thermodynamics_verbose; + int true_hyrec_verbose; + double true_w0_fld; + double true_wa_fld; + double * z; - class_read_int("accurate_lensing",ppr->accurate_lensing); - class_read_int("delta_l_max",ppr->delta_l_max); - if (ppr->accurate_lensing == _TRUE_) { - class_read_int("num_mu_minus_lmax",ppr->num_mu_minus_lmax); - class_read_int("tol_gauss_legendre",ppr->tol_gauss_legendre); - } + /** Store the true cosmological parameters (w0, wa) somwhere before using temporarily some fake ones in this function */ + true_background_verbose = pba->background_verbose; + true_thermodynamics_verbose = pth->thermodynamics_verbose; + true_hyrec_verbose = pth->hyrec_verbose; + true_w0_fld = pba->w0_fld; + true_wa_fld = pba->wa_fld; - /** h.8. parameter related to the quasi-static approximation scheme (qs_smg) */ + /** The fake calls of the background and thermodynamics module will be done in non-verbose mode */ + pba->background_verbose = 0; + pth->thermodynamics_verbose = 0; + pth->hyrec_verbose = 0; - class_read_double("n_min_qs_smg",ppr->n_min_qs_smg); - class_read_double("n_max_qs_smg",ppr->n_max_qs_smg); - class_read_double("z_fd_qs_smg",ppr->z_fd_qs_smg); - class_read_double("trigger_mass_qs_smg",ppr->trigger_mass_qs_smg); - class_read_double("trigger_rad_qs_smg",ppr->trigger_rad_qs_smg); - class_read_double("eps_s_qs_smg",ppr->eps_s_qs_smg); + /** Allocate indices and arrays for storing the results */ + pfo->pk_eq_tau_size = ppr->pk_eq_Nzlog; + class_alloc(pfo->pk_eq_tau, + pfo->pk_eq_tau_size*sizeof(double), + errmsg); + class_alloc(z, + pfo->pk_eq_tau_size*sizeof(double), + errmsg); - class_call(parser_read_string(pfc,"get_h_from_trace_smg",&string1,&flag1,errmsg), - errmsg, + index_eq = 0; + class_define_index(pfo->index_pk_eq_w,_TRUE_,index_eq,1); + class_define_index(pfo->index_pk_eq_Omega_m,_TRUE_,index_eq,1); + pfo->pk_eq_size = index_eq; + class_alloc(pfo->pk_eq_w_and_Omega, + pfo->pk_eq_tau_size*pfo->pk_eq_size*sizeof(double), + errmsg); + class_alloc(pfo->pk_eq_ddw_and_ddOmega, + pfo->pk_eq_tau_size*pfo->pk_eq_size*sizeof(double), + errmsg); + + /** Call the background module in order to fill a table of tau_i[z_i] */ + class_call(background_init(ppr,pba), pba->error_message, errmsg); + for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { + z[index_pk_eq_z] = exp(log(1.+ppr->pk_eq_z_max)/(pfo->pk_eq_tau_size-1)*index_pk_eq_z)-1.; + class_call(background_tau_of_z(pba, + z[index_pk_eq_z], + &tau_of_z), + pba->error_message, + errmsg); + pfo->pk_eq_tau[index_pk_eq_z] = tau_of_z; + } + class_call(background_free_noinput(pba), + pba->error_message, errmsg); - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { + /** Loop over z_i values. For each of them, we will call the + background and thermodynamics module for fake models. The goal is + to find, for each z_i, and effective w0_eff[z_i] and + Omega_m_eff{z_i], such that: the true model with (w0,wa) and the + equivalent model with (w0_eff[z_i],0) have the same conformal + distance between z_i and z_recombination, namely chi = tau[z_i] - + tau_rec. It is thus necessary to call both the background and + thermodynamics module for each fake model and to re-compute + tau_rec for each of them. Once the eqauivalent model is found we + compute and store Omega_m_effa(z_i) of the equivalent model */ + for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { - ppr->get_h_from_trace_smg = _TRUE_; + if (input_verbose > 2) + printf(" * computing Pk_equal parameters at z=%e\n",z[index_pk_eq_z]); + /* get chi = (tau[z_i] - tau_rec) in true model */ + pba->w0_fld = true_w0_fld; + pba->wa_fld = true_wa_fld; + class_call(background_init(ppr,pba), + pba->error_message, + errmsg); + class_call(thermodynamics_init(ppr,pba,pth), + pth->error_message, + errmsg); + delta_tau = pfo->pk_eq_tau[index_pk_eq_z] - pth->tau_rec; + /* launch iterations in order to coverge to effective model with wa=0 but the same chi = (tau[z_i] - tau_rec) */ + pba->wa_fld=0.; - } + do { + class_call(background_free_noinput(pba), + pba->error_message, + errmsg); + class_call(thermodynamics_free(pth), + pth->error_message, + errmsg); - /** (i) Write values in file */ - if (ple->has_lensed_cls == _TRUE_) - ppt->l_scalar_max+=ppr->delta_l_max; + class_call(background_init(ppr,pba), + pba->error_message, + errmsg); + class_call(background_tau_of_z(pba, + z[index_pk_eq_z], + &tau_of_z), + pba->error_message, + errmsg); + class_call(thermodynamics_init(ppr,pba,pth), + pth->error_message, + errmsg); - /** (i.1) shall we write background quantitites in a file? */ + delta_tau_eq = tau_of_z - pth->tau_rec; - class_call(parser_read_string(pfc,"write background",&string1,&flag1,errmsg), - errmsg, - errmsg); + error = 1.-delta_tau_eq/delta_tau; + pba->w0_fld = pba->w0_fld*pow(1.+error,10.); - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { + } + while(fabs(error) > ppr->pk_eq_tol); - pop->write_background = _TRUE_; + /* Equivalent model found. Store w0(z) in that model. Find Omega_m(z) in that model and store it. */ + pfo->pk_eq_w_and_Omega[pfo->pk_eq_size*index_pk_eq_z+pfo->index_pk_eq_w] = pba->w0_fld; + class_alloc(pvecback, + pba->bg_size*sizeof(double), + pba->error_message); + class_call(background_at_tau(pba, + tau_of_z, + long_info, + inter_normal, + &last_index, + pvecback), + pba->error_message, errmsg); + pfo->pk_eq_w_and_Omega[pfo->pk_eq_size*index_pk_eq_z+pfo->index_pk_eq_Omega_m] = pvecback[pba->index_bg_Omega_m]; + free(pvecback); + class_call(background_free_noinput(pba), + pba->error_message, + errmsg); + class_call(thermodynamics_free(pth), + pth->error_message, + errmsg); } - /** - (i.2.) shall we write thermodynamics quantities in a file? */ - - class_call(parser_read_string(pfc,"write thermodynamics",&string1,&flag1,errmsg), - errmsg, - errmsg); - - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { - - pop->write_thermodynamics = _TRUE_; - - } + /** Restore cosmological parameters (w0, wa) to their true values before main call to CLASS modules */ + pba->background_verbose = true_background_verbose; + pth->thermodynamics_verbose = true_thermodynamics_verbose; + pth->hyrec_verbose = true_hyrec_verbose; - /** - (i.3.) shall we write perturbation quantities in files? */ + pba->w0_fld = true_w0_fld; + pba->wa_fld = true_wa_fld; - class_call(parser_read_list_of_doubles(pfc, - "k_output_values", - &(int1), - &(pointer1), - &flag1, - errmsg), - errmsg, - errmsg); + /* in verbose mode, report the results */ - if (flag1 == _TRUE_) { - class_test(int1 > _MAX_NUMBER_OF_K_FILES_, - errmsg, - "you want to write some output for %d different values of k, hence you should increase _MAX_NUMBER_OF_K_FILES_ in include/perturbations.h to at least this number", - int1); - ppt->k_output_values_num = int1; + if (input_verbose > 1) { + fprintf(stdout," Effective parameters for Pk_equal:\n"); - for (i=0; ik_output_values[i] = pointer1[i]; + for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { + fprintf(stdout," * at z=%e, tau=%e w=%e Omega_m=%e\n", + z[index_pk_eq_z], + pfo->pk_eq_tau[index_pk_eq_z], + pfo->pk_eq_w_and_Omega[pfo->pk_eq_size*index_pk_eq_z+pfo->index_pk_eq_w], + pfo->pk_eq_w_and_Omega[pfo->pk_eq_size*index_pk_eq_z+pfo->index_pk_eq_Omega_m]); } - free(pointer1); - - /* Sort the k_array using qsort */ - qsort (ppt->k_output_values, ppt->k_output_values_num, sizeof(double), compare_doubles); - - ppt->store_perturbations = _TRUE_; - pop->write_perturbations = _TRUE_; } + free(z); - /** - (i.4.) shall we write primordial spectra in a file? */ - - class_call(parser_read_string(pfc,"write primordial",&string1,&flag1,errmsg), + /** Spline the table for later interpolation */ + class_call(array_spline_table_lines(pfo->pk_eq_tau, + pfo->pk_eq_tau_size, + pfo->pk_eq_w_and_Omega, + pfo->pk_eq_size, + pfo->pk_eq_ddw_and_ddOmega, + _SPLINE_NATURAL_, + errmsg), errmsg, errmsg); - if ((flag1 == _TRUE_) && ((strstr(string1,"y") != NULL) || (strstr(string1,"Y") != NULL))) { - - pop->write_primordial = _TRUE_; + return _SUCCESS_; - } +} - /** (i.5) shall we write sigma(z) in a file? */ +/** + * Read the parameters of primordial structure. + * + * @param pfc Input: pointer to local structure + * @param ppt Input: pointer to perturbations structure + * @param ppm Input: pointer to primordial structure + * @param errmsg Input: Error message + * @return the error status + */ - class_call(parser_read_string(pfc,"write sigma",&string1,&flag1,errmsg), - errmsg, - errmsg); +int input_read_parameters_primordial(struct file_content * pfc, + struct perturbations * ppt, + struct primordial * ppm, + ErrorMsg errmsg){ - /** readjust some precision parameters for modified gravity */ - if (pba->has_smg == _TRUE_){ + /** Summary: */ - //otherwise problems with ISW effect - if (ppr->perturb_sampling_stepsize > 0.05) - ppr->perturb_sampling_stepsize=0.05; - - //how much info on background.dat? - class_read_double("output_background_smg",pba->output_background_smg); - - } - - - /** - (i.5) special steps if we want Halofit with wa_fld non-zero: - so-called "Pk_equal method" of 0810.0190 and 1601.07230 */ - - if ((pnl->method == nl_halofit) && (pba->Omega0_fld != 0.) && (pba->wa_fld != 0.)) - pnl->has_pk_eq = _TRUE_; - - if (pnl->has_pk_eq == _TRUE_) { + /** Define local variables */ + int flag1, flag2, flag3; + double param1, param2, param3; + char string1[_ARGUMENT_LENGTH_MAX_]; + char string2[_ARGUMENT_LENGTH_MAX_]; + double R0,R1,R2,R3,R4; + double PSR0,PSR1,PSR2,PSR3,PSR4; + double HSR0,HSR1,HSR2,HSR3,HSR4; + double k1=0.; + double k2=0.; + double prr1=0.; + double prr2=0.; + double pii1=0.; + double pii2=0.; + double pri1=0.; + double pri2=0.; + double n_iso=0.; + double f_iso=0.; + double n_cor=0.; + double c_cor=0.; - if (input_verbose > 0) { - printf(" -> since you want to use Halofit with a non-zero wa_fld, calling background module to\n"); - printf(" extract the effective w(tau), Omega_m(tau) parameters required by the Pk_equal method\n"); - } - class_call(input_prepare_pk_eq(ppr,pba,pth,pnl,input_verbose,errmsg), + /** 1) Primordial spectrum type */ + /* Read */ + class_call(parser_read_string(pfc,"Pk_ini_type",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Compatibility code BEGIN */ + if (flag1 == _FALSE_){ + class_call(parser_read_string(pfc,"P_k_ini type",&string1,&flag1,errmsg), errmsg, errmsg); } - - return _SUCCESS_; - -} - -/** - * All default parameter values (for input parameters) - * - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermodynamics structure - * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfer structure - * @param ppm Input: pointer to primordial structure - * @param psp Input: pointer to spectra structure - * @param pnl Input: pointer to nonlinear structure - * @param ple Input: pointer to lensing structure - * @param pop Input: pointer to output structure - * @return the error status - */ - -int input_default_params( - struct background *pba, - struct thermo *pth, - struct perturbs *ppt, - struct transfers *ptr, - struct primordial *ppm, - struct spectra *psp, - struct nonlinear * pnl, - struct lensing *ple, - struct output *pop - ) { - - double sigma_B; /* Stefan-Boltzmann constant in \f$ W/m^2/K^4 = Kg/K^4/s^3 \f$*/ - int filenum; - - sigma_B = 2. * pow(_PI_,5) * pow(_k_B_,4) / 15. / pow(_h_P_,3) / pow(_c_,2); - - /** Define all default parameter values (for input parameters) for each structure:*/ - /** - background structure */ - - /* 5.10.2014: default parameters matched to Planck 2013 + WP - best-fitting model, with ones small difference: the published - Planck 2013 + WP bestfit is with h=0.6704 and one massive - neutrino species with m_ncdm=0.06eV; here we assume only massless - neutrinos in the default model; for the CMB, taking m_ncdm = 0 or - 0.06 eV makes practically no difference, provided that we adapt - the value of h in order ot get the same peak scale, i.e. the same - 100*theta_s. The Planck 2013 + WP best-fitting model with - h=0.6704 gives 100*theta_s = 1.042143 (or equivalently - 100*theta_MC=1.04119). By taking only massless neutrinos, one - gets the same 100*theta_s provided that h is increased to - 0.67556. Hence, we take h=0.67556, N_ur=3.046, N_ncdm=0, and all - other parameters from the Planck2013 Cosmological Parameter - paper. */ - - pba->h = 0.67556; - pba->H0 = pba->h * 1.e5 / _c_; - pba->T_cmb = 2.7255; - pba->Omega0_g = (4.*sigma_B/_c_*pow(pba->T_cmb,4.)) / (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); - pba->Omega0_ur = 3.046*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; - pba->Omega0_b = 0.022032/pow(pba->h,2); - pba->Omega0_cdm = 0.12038/pow(pba->h,2); - pba->Omega0_dcdmdr = 0.0; - pba->Omega0_dcdm = 0.0; - pba->Gamma_dcdm = 0.0; - pba->N_ncdm = 0; - pba->Omega0_ncdm_tot = 0.; - pba->ksi_ncdm_default = 0.; - pba->ksi_ncdm = NULL; - pba->T_ncdm_default = 0.71611; /* this value gives m/omega = 93.14 eV b*/ - pba->T_ncdm = NULL; - pba->deg_ncdm_default = 1.; - pba->deg_ncdm = NULL; - pba->ncdm_psd_parameters = NULL; - pba->ncdm_psd_files = NULL; - - pba->Omega0_scf = 0.; /* Scalar field defaults */ - pba->attractor_ic_scf = _TRUE_; - pba->scf_parameters = NULL; - pba->scf_parameters_size = 0; - pba->scf_tuning_index = 0; - //MZ: initial conditions are as multiplicative factors of the radiation attractor values - pba->phi_ini_scf = 1; - pba->phi_prime_ini_scf = 1; - - - pba->gravity_model_smg = propto_omega; /* gravitational model */ - pba->expansion_model_smg = lcdm; /*expansion model (only for parameterizations*/ - pba->Omega0_smg = 0.; /* Scalar field defaults */ - pba->M_pl_today_smg = 1.; //*Planck mass today*/ - pba->M_pl_tuning_smg = _FALSE_; //* Tune Planck mass?*/ - pba->Omega_smg_debug = 0; - pba->field_evolution_smg = _FALSE_; /* does the model require solving the background equations? */ - pba->M_pl_evolution_smg = _FALSE_; /* does the model require integrating M_pl from alpha_M? */ - pba->skip_stability_tests_smg = _FALSE_; /*if you want to skip the stability tests for the perturbations */ - pba->a_min_stability_test_smg = 0; /** < skip stability tests for a < a_min */ - - pba->hubble_evolution = _TRUE_; /** dynamical evolution of Friedmann eq. */ - pba->hubble_friction = 3.; /** friction coefficient in H' equation: H' = ... + H_friction*(H^2 - rho_crit) [NOT ONLY IN SMG!] */ - pba->rho_evolution_smg = _FALSE_; /*does the model require to evolve the background energy density? (only for parameterizations)*/ - - pba->kineticity_safe_smg = 0; /* value added to the kineticity, useful to cure perturbations at early time in some models */ - pba->cs2_safe_smg = 0; /* threshold to consider the sound speed of scalars negative in the stability check */ - pba->D_safe_smg = 0; /* threshold to consider the kinetic term of scalars negative in the stability check */ - pba->ct2_safe_smg = 0; /* threshold to consider the sound speed of tensors negative in the stability check */ - pba->M2_safe_smg = 0; /* threshold to consider the kinetic term of tensors (M2) negative in the stability check */ - - - /*set stability quantities to nonzero values*/ - pba->min_M2_smg = 1e10; - pba->min_ct2_smg = 1e10; - pba->min_D_smg = 1e10; - pba->min_cs2_smg = 1e10; - - pba->min_bra_smg = 4.; - pba->max_bra_smg = 0.; - pba->quintessence_w_safe_smg = 0; - - pba->parameters_smg = NULL; - pba->parameters_size_smg = 0; - pba->tuning_index_smg = 0; - pba->tuning_dxdy_guess_smg = 1; - - pba->output_background_smg = 1; /**< amount of information printed onbackground.dat output */ - - pba->Omega0_k = 0.; - pba->K = 0.; - pba->sgnK = 0; - pba->Omega0_lambda = 1.-pba->Omega0_k-pba->Omega0_g-pba->Omega0_ur-pba->Omega0_b-pba->Omega0_cdm-pba->Omega0_ncdm_tot-pba->Omega0_dcdmdr; - pba->Omega0_fld = 0.; - pba->a_today = 1.; - pba->use_ppf = _TRUE_; - pba->c_gamma_over_c_fld = 0.4; - pba->fluid_equation_of_state = CLP; - pba->w0_fld = -1.; - pba->wa_fld = 0.; - pba->Omega_EDE = 0.; - pba->cs2_fld = 1.; - - pba->has_smg= _FALSE_; - pba->parameters_tuned_smg = _FALSE_; - pba->shooting_failed = _FALSE_; - pba->is_quintessence_smg = _FALSE_; - pba->attractor_ic_smg = _TRUE_; /* only read for those models in which it is implemented */ - pba->initial_conditions_set_smg = _FALSE_; - - /** - thermodynamics structure */ - - pth->YHe=_BBN_; - pth->recombination=recfast; - pth->reio_parametrization=reio_camb; - pth->reio_z_or_tau=reio_z; - pth->z_reio=11.357; - pth->tau_reio=0.0925; - pth->reionization_exponent=1.5; - pth->reionization_width=0.5; - pth->helium_fullreio_redshift=3.5; - pth->helium_fullreio_width=0.5; - - pth->binned_reio_num=0; - pth->binned_reio_z=NULL; - pth->binned_reio_xe=NULL; - pth->binned_reio_step_sharpness = 0.3; - - pth->annihilation = 0.; - pth->decay = 0.; - - pth->annihilation_variation = 0.; - pth->annihilation_z = 1000.; - pth->annihilation_zmax = 2500.; - pth->annihilation_zmin = 30.; - pth->annihilation_f_halo = 0.; - pth->annihilation_z_halo = 30.; - pth->has_on_the_spot = _TRUE_; - - pth->compute_cb2_derivatives=_FALSE_; - - pth->compute_damping_scale = _FALSE_; - - /** - perturbation structure */ - - ppt->has_cl_cmb_temperature = _FALSE_; - ppt->has_cl_cmb_polarization = _FALSE_; - ppt->has_cl_cmb_lensing_potential = _FALSE_; - ppt->has_cl_number_count = _FALSE_; - ppt->has_cl_lensing_potential = _FALSE_; - ppt->has_pk_matter = _FALSE_; - ppt->has_density_transfers = _FALSE_; - ppt->has_velocity_transfers = _FALSE_; - ppt->has_metricpotential_transfers = _FALSE_; - - ppt->has_nl_corrections_based_on_delta_m = _FALSE_; - - ppt->has_nc_density = _FALSE_; - ppt->has_nc_rsd = _FALSE_; - ppt->has_nc_lens = _FALSE_; - ppt->has_nc_gr = _FALSE_; - - //ppt->pk_only_cdm_bar=_FALSE_; - - ppt->switch_sw = 1; - ppt->switch_eisw = 1; - ppt->switch_lisw = 1; - ppt->switch_dop = 1; - ppt->switch_pol = 1; - ppt->eisw_lisw_split_z = 120; - - ppt->has_ad=_TRUE_; - ppt->has_bi=_FALSE_; - ppt->has_cdi=_FALSE_; - ppt->has_nid=_FALSE_; - ppt->has_niv=_FALSE_; - - ppt->has_perturbed_recombination=_FALSE_; - ppt->tensor_method = tm_massless_approximation; - ppt->evolve_tensor_ur = _FALSE_; - ppt->evolve_tensor_ncdm = _FALSE_; - - ppt->has_scalars=_TRUE_; - ppt->has_vectors=_FALSE_; - ppt->has_tensors=_FALSE_; - - ppt->l_scalar_max=2500; - ppt->l_vector_max=500; - ppt->l_tensor_max=500; - ppt->l_lss_max=300; - ppt->k_max_for_pk=1.; - - ppt->gauge=synchronous; - - ppt->method_qs_smg=fully_dynamic; - - ppt->pert_initial_conditions_smg = ext_field_attr; /* default IC for perturbations in the scalar */ - - ppt->k_output_values_num=0; - ppt->store_perturbations = _FALSE_; - ppt->number_of_scalar_titles=0; - ppt->number_of_vector_titles=0; - ppt->number_of_tensor_titles=0; - for (filenum = 0; filenum<_MAX_NUMBER_OF_K_FILES_; filenum++){ - ppt->scalar_perturbations_data[filenum] = NULL; - ppt->vector_perturbations_data[filenum] = NULL; - ppt->tensor_perturbations_data[filenum] = NULL; + /* Compatibility code END */ + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if (strcmp(string1,"analytic_Pk") == 0){ + ppm->primordial_spec_type = analytic_Pk; + } + else if (strcmp(string1,"inflation_V") == 0){ + ppm->primordial_spec_type = inflation_V; + } + else if (strcmp(string1,"inflation_H") == 0){ + ppm->primordial_spec_type = inflation_H; + } + else if (strcmp(string1,"inflation_V_end") == 0){ + ppm->primordial_spec_type = inflation_V_end; + } + else if (strcmp(string1,"two_scales") == 0){ + ppm->primordial_spec_type = two_scales; + } + else if (strcmp(string1,"external_Pk") == 0){ + ppm->primordial_spec_type = external_Pk; + } + else{ + class_stop(errmsg, + "You specified 'P_k_ini_type' as '%s'. It has to be one of {'analytic_Pk','inflation_V','inflation_V_end','two_scales','external_Pk'}.",string1); + } } - ppt->index_k_output_values=NULL; - ppt->three_ceff2_ur=1.; - ppt->three_cvis2_ur=1.; - - ppt->z_max_pk=0.; - - ppt->selection_num=1; - ppt->selection=gaussian; - ppt->selection_mean[0]=1.; - ppt->selection_width[0]=0.1; - - /** - primordial structure */ - - ppm->primordial_spec_type = analytic_Pk; - ppm->k_pivot = 0.05; - ppm->A_s = 2.215e-9; - ppm->n_s = 0.9619; - ppm->alpha_s = 0.; - ppm->f_bi = 1.; - ppm->n_bi = 1.; - ppm->alpha_bi = 0.; - ppm->f_cdi = 1.; - ppm->n_cdi = 1.; - ppm->alpha_cdi = 0.; - ppm->f_nid = 1.; - ppm->n_nid = 1.; - ppm->alpha_nid = 0.; - ppm->f_niv = 1.; - ppm->n_niv = 1.; - ppm->alpha_niv = 0.; - ppm->c_ad_bi = 0.; - ppm->n_ad_bi = 0.; - ppm->alpha_ad_bi = 0.; - ppm->c_ad_cdi = 0.; - ppm->n_ad_cdi = 0.; - ppm->alpha_ad_cdi = 0.; - ppm->c_ad_nid = 0.; - ppm->n_ad_nid = 0.; - ppm->alpha_ad_nid = 0.; - ppm->c_ad_niv = 0.; - ppm->n_ad_niv = 0.; - ppm->alpha_ad_niv = 0.; - ppm->c_bi_cdi = 0.; - ppm->n_bi_cdi = 0.; - ppm->alpha_bi_cdi = 0.; - ppm->c_bi_nid = 0.; - ppm->n_bi_nid = 0.; - ppm->alpha_bi_nid = 0.; - ppm->c_bi_niv = 0.; - ppm->n_bi_niv = 0.; - ppm->alpha_bi_niv = 0.; - ppm->c_cdi_nid = 0.; - ppm->n_cdi_nid = 0.; - ppm->alpha_cdi_nid = 0.; - ppm->c_cdi_niv = 0.; - ppm->n_cdi_niv = 0.; - ppm->alpha_cdi_niv = 0.; - ppm->c_nid_niv = 0.; - ppm->n_nid_niv = 0.; - ppm->alpha_nid_niv = 0.; - ppm->r = 1.; - ppm->n_t = -ppm->r/8.*(2.-ppm->r/8.-ppm->n_s); - ppm->alpha_t = ppm->r/8.*(ppm->r/8.+ppm->n_s-1.); - ppm->potential=polynomial; - ppm->phi_end=0.; - ppm->phi_pivot_method = N_star; - ppm->phi_pivot_target = 60; - ppm->V0=1.25e-13; - ppm->V1=-1.12e-14; - ppm->V2=-6.95e-14; - ppm->V3=0.; - ppm->V4=0.; - ppm->H0=3.69e-6; - ppm->H1=-5.84e-7; - ppm->H2=0.; - ppm->H3=0.; - ppm->H4=0.; - ppm->behavior=numerical; - ppm->command="write here your command for the external Pk"; - ppm->custom1=0.; - ppm->custom2=0.; - ppm->custom3=0.; - ppm->custom4=0.; - ppm->custom5=0.; - ppm->custom6=0.; - ppm->custom7=0.; - ppm->custom8=0.; - ppm->custom9=0.; - ppm->custom10=0.; - - /** - transfer structure */ + /** 1.a) Pivot scale in Mpc-1 */ + /* Read */ + class_read_double("k_pivot",ppm->k_pivot); - ptr->selection_bias[0]=1.; - ptr->selection_magnification_bias[0]=0.; - ptr->lcmb_rescale=1.; - ptr->lcmb_pivot=0.1; - ptr->lcmb_tilt=0.; - ptr->initialise_HIS_cache=_FALSE_; - ptr->has_nz_analytic = _FALSE_; - ptr->has_nz_file = _FALSE_; - ptr->has_nz_evo_analytic = _FALSE_; - ptr->has_nz_evo_file = _FALSE_; + /** 1.b) For type 'analytic_Pk' */ + if (ppm->primordial_spec_type == analytic_Pk) { - /** - output structure */ + /** 1.b.1) For scalar perturbations */ + if (ppt->has_scalars == _TRUE_) { + /* Read */ + class_call(parser_read_double(pfc,"A_s",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"ln_A_s_1e10",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Deprecated input parameters, read for backwards compatibility) */ + class_call(parser_read_double(pfc,"ln10^{10}A_s",¶m3,&flag3,errmsg), + errmsg, + errmsg); + class_test(class_at_least_two_of_three(flag1,flag2,flag3), + errmsg, + "In input file, you can only enter one of {'A_s', 'ln_A_s_1e10', or 'ln10^{10}A_s' (deprecated)}, choose one"); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + ppm->A_s = param1; + } + else if (flag2 == _TRUE_){ + ppm->A_s = exp(param2)*1.e-10; + } + else if (flag3 == _TRUE_){ + ppm->A_s = exp(param3)*1.e-10; + } - pop->z_pk_num = 1; - pop->z_pk[0] = 0.; - sprintf(pop->root,"output/"); - pop->write_header = _TRUE_; - pop->output_format = class_format; - pop->write_background = _FALSE_; - pop->write_thermodynamics = _FALSE_; - pop->write_perturbations = _FALSE_; - pop->write_primordial = _FALSE_; + /** 1.b.1.1) Adiabatic perturbations */ + if (ppt->has_ad == _TRUE_) { + /* Read */ + class_read_double("n_s",ppm->n_s); + class_read_double("alpha_s",ppm->alpha_s); + } - /** - spectra structure */ + /** 1.b.1.2) Isocurvature/entropy perturbations */ + /* Read */ + if (ppt->has_bi == _TRUE_) { + class_read_double("f_bi",ppm->f_bi); + class_read_double("n_bi",ppm->n_bi); + class_read_double("alpha_bi",ppm->alpha_bi); + } + if (ppt->has_cdi == _TRUE_) { + class_read_double("f_cdi",ppm->f_cdi); + class_read_double("n_cdi",ppm->n_cdi); + class_read_double("alpha_cdi",ppm->alpha_cdi); + } + if (ppt->has_nid == _TRUE_) { + class_read_double("f_nid",ppm->f_nid); + class_read_double("n_nid",ppm->n_nid); + class_read_double("alpha_nid",ppm->alpha_nid); + } + if (ppt->has_niv == _TRUE_) { + class_read_double("f_niv",ppm->f_niv); + class_read_double("n_niv",ppm->n_niv); + class_read_double("alpha_niv",ppm->alpha_niv); + } - psp->z_max_pk = pop->z_pk[0]; - psp->non_diag=0; + /** 1.b.1.3) Cross-correlation between different adiabatic/entropy mode */ + /* Read */ + if ((ppt->has_ad == _TRUE_) && (ppt->has_bi == _TRUE_)) { + class_read_double_one_of_two("c_ad_bi","c_bi_ad",ppm->c_ad_bi); + class_read_double_one_of_two("n_ad_bi","n_bi_ad",ppm->n_ad_bi); + class_read_double_one_of_two("alpha_ad_bi","alpha_bi_ad",ppm->alpha_ad_bi); + } + if ((ppt->has_ad == _TRUE_) && (ppt->has_cdi == _TRUE_)) { + class_read_double_one_of_two("c_ad_cdi","c_cdi_ad",ppm->c_ad_cdi); + class_read_double_one_of_two("n_ad_cdi","n_cdi_ad",ppm->n_ad_cdi); + class_read_double_one_of_two("alpha_ad_cdi","alpha_cdi_ad",ppm->alpha_ad_cdi); + } + if ((ppt->has_ad == _TRUE_) && (ppt->has_nid == _TRUE_)) { + class_read_double_one_of_two("c_ad_nid","c_nid_ad",ppm->c_ad_nid); + class_read_double_one_of_two("n_ad_nid","n_nid_ad",ppm->n_ad_nid); + class_read_double_one_of_two("alpha_ad_nid","alpha_nid_ad",ppm->alpha_ad_nid); + } + if ((ppt->has_ad == _TRUE_) && (ppt->has_niv == _TRUE_)) { + class_read_double_one_of_two("c_ad_niv","c_niv_ad",ppm->c_ad_niv); + class_read_double_one_of_two("n_ad_niv","n_niv_ad",ppm->n_ad_niv); + class_read_double_one_of_two("alpha_ad_niv","alpha_niv_ad",ppm->alpha_ad_niv); + } + if ((ppt->has_bi == _TRUE_) && (ppt->has_cdi == _TRUE_)) { + class_read_double_one_of_two("c_bi_cdi","c_cdi_bi",ppm->c_bi_cdi); + class_read_double_one_of_two("n_bi_cdi","n_cdi_bi",ppm->n_bi_cdi); + class_read_double_one_of_two("alpha_bi_cdi","alpha_cdi_bi",ppm->alpha_bi_cdi); + } + if ((ppt->has_bi == _TRUE_) && (ppt->has_nid == _TRUE_)) { + class_read_double_one_of_two("c_bi_nid","c_nid_bi",ppm->c_bi_nid); + class_read_double_one_of_two("n_bi_nid","n_nid_bi",ppm->n_bi_nid); + class_read_double_one_of_two("alpha_bi_nid","alpha_nid_bi",ppm->alpha_bi_nid); + } + if ((ppt->has_bi == _TRUE_) && (ppt->has_niv == _TRUE_)) { + class_read_double_one_of_two("c_bi_niv","c_niv_bi",ppm->c_bi_niv); + class_read_double_one_of_two("n_bi_niv","n_niv_bi",ppm->n_bi_niv); + class_read_double_one_of_two("alpha_bi_niv","alpha_niv_bi",ppm->alpha_bi_niv); + } + if ((ppt->has_cdi == _TRUE_) && (ppt->has_nid == _TRUE_)) { + class_read_double_one_of_two("c_cdi_nid","c_nid_cdi",ppm->c_cdi_nid); + class_read_double_one_of_two("n_cdi_nid","n_nid_cdi",ppm->n_cdi_nid); + class_read_double_one_of_two("alpha_cdi_nid","alpha_nid_cdi",ppm->alpha_cdi_nid); + } + if ((ppt->has_cdi == _TRUE_) && (ppt->has_niv == _TRUE_)) { + class_read_double_one_of_two("c_cdi_niv","c_niv_cdi",ppm->c_cdi_niv); + class_read_double_one_of_two("n_cdi_niv","n_niv_cdi",ppm->n_cdi_niv); + class_read_double_one_of_two("alpha_cdi_niv","alpha_niv_cdi",ppm->alpha_cdi_niv); + } + if ((ppt->has_nid == _TRUE_) && (ppt->has_niv == _TRUE_)) { + class_read_double_one_of_two("c_nid_niv","c_niv_nid",ppm->c_nid_niv); + class_read_double_one_of_two("n_nid_niv","n_niv_nid",ppm->n_nid_niv); + class_read_double_one_of_two("alpha_nid_niv","alpha_niv_nid",ppm->alpha_nid_niv); + } + } - /** - nonlinear structure */ + /** 1.b.2) For tensor perturbations */ + if (ppt->has_tensors == _TRUE_){ + /* Read */ + class_read_double("r",ppm->r); + if (ppt->has_scalars == _FALSE_){ + class_read_double("A_s",ppm->A_s); + } + if (ppm->r <= 0) { + ppt->has_tensors = _FALSE_; + } + else { + class_call(parser_read_string(pfc,"n_t",&string1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_string(pfc,"alpha_t",&string2,&flag2,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && !((strstr(string1,"SCC") != NULL) || (strstr(string1,"scc") != NULL))){ + class_read_double("n_t",ppm->n_t); + } + else { + ppm->n_t = -ppm->r/8.*(2.-ppm->r/8.-ppm->n_s); // enforce single slow-roll self-consistency condition (order 2 in slow-roll) + } + if ((flag2 == _TRUE_) && !((strstr(string2,"SCC") != NULL) || (strstr(string2,"scc") != NULL))) { + class_read_double("alpha_t",ppm->alpha_t); + } + else { + ppm->alpha_t = ppm->r/8.*(ppm->r/8.+ppm->n_s-1.); // enforce single slow-roll self-consistency condition (order 2 in slow-roll) + } + } + } + } - /** - lensing structure */ + else if ((ppm->primordial_spec_type == inflation_V) || (ppm->primordial_spec_type == inflation_H)) { - ple->has_lensed_cls = _FALSE_; + /** 1.c) For type 'inflation_V' */ + if (ppm->primordial_spec_type == inflation_V) { - /** - nonlinear structure */ + /** 1.c.1) Type of potential */ + /* Read */ + class_call(parser_read_string(pfc,"potential",&string1,&flag1,errmsg), // only polynomial coded so far: + errmsg, // no need to interpret string1 + errmsg); - pnl->method = nl_none; - pnl->has_pk_eq = _FALSE_; + /** 1.c.2) Coefficients of the Taylor expansion */ + /* Read */ + class_call(parser_read_string(pfc,"PSR_0",&string1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_){ + PSR0=0.; + PSR1=0.; + PSR2=0.; + PSR3=0.; + PSR4=0.; + class_read_double("PSR_0",PSR0); + class_read_double("PSR_1",PSR1); + class_read_double("PSR_2",PSR2); + class_read_double("PSR_3",PSR3); + class_read_double("PSR_4",PSR4); + /* Test */ + class_test(PSR0 <= 0., + errmsg, + "inconsistent parametrization of polynomial inflation potential"); + class_test(PSR1 <= 0., + errmsg, + "inconsistent parametrization of polynomial inflation potential"); + /* Complete set of parameters */ + R0 = PSR0; + R1 = PSR1*16.*_PI_; + R2 = PSR2*8.*_PI_; + R3 = PSR3*pow(8.*_PI_,2); + R4 = PSR4*pow(8.*_PI_,3); + ppm->V0 = R0*R1*3./128./_PI_; + ppm->V1 = -sqrt(R1)*ppm->V0; + ppm->V2 = R2*ppm->V0; + ppm->V3 = R3*ppm->V0*ppm->V0/ppm->V1; + ppm->V4 = R4*ppm->V0/R1; + } + else { + /* Read */ + class_call(parser_read_string(pfc,"R_0",&string1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + R0=0.; + R1=0.; + R2=0.; + R3=0.; + R4=0.; + class_read_double("R_0",R0); + class_read_double("R_1",R1); + class_read_double("R_2",R2); + class_read_double("R_3",R3); + class_read_double("R_4",R4); + /* Test */ + class_test(R0 <= 0., + errmsg, + "inconsistent parametrization of polynomial inflation potential"); + class_test(R1 <= 0., + errmsg, + "inconsistent parametrization of polynomial inflation potential"); + /* Complete set of parameters */ + ppm->V0 = R0*R1*3./128./_PI_; + ppm->V1 = -sqrt(R1)*ppm->V0; + ppm->V2 = R2*ppm->V0; + ppm->V3 = R3*ppm->V0*ppm->V0/ppm->V1; + ppm->V4 = R4*ppm->V0/R1; + } + else { + /* Read */ + class_read_double("V_0",ppm->V0); + class_read_double("V_1",ppm->V1); + class_read_double("V_2",ppm->V2); + class_read_double("V_3",ppm->V3); + class_read_double("V_4",ppm->V4); + } + } + } - /** - all verbose parameters */ + /** 1.d) For type 'inflation_H' */ + else { + /* Read */ + class_call(parser_read_string(pfc,"HSR_0",&string1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + HSR0=0.; + HSR1=0.; + HSR2=0.; + HSR3=0.; + HSR4=0.; + class_read_double("HSR_0",HSR0); + class_read_double("HSR_1",HSR1); + class_read_double("HSR_2",HSR2); + class_read_double("HSR_3",HSR3); + class_read_double("HSR_4",HSR4); + /* Complete set of parameters */ + ppm->H0 = sqrt(HSR0*HSR1*_PI_); + ppm->H1 = -sqrt(4.*_PI_*HSR1)*ppm->H0; + ppm->H2 = 4.*_PI_*HSR2*ppm->H0; + ppm->H3 = 4.*_PI_*HSR3*ppm->H0*ppm->H0/ppm->H1; + ppm->H4 = 4.*_PI_*HSR4*ppm->H0*ppm->H0*ppm->H0/ppm->H1/ppm->H1; - pba->background_verbose = 0; - pth->thermodynamics_verbose = 0; - ppt->perturbations_verbose = 0; - ptr->transfer_verbose = 0; - ppm->primordial_verbose = 0; - psp->spectra_verbose = 0; - pnl->nonlinear_verbose = 0; - ple->lensing_verbose = 0; - pop->output_verbose = 0; + } + else { + /* Read */ + class_read_double("H_0",ppm->H0); + class_read_double("H_1",ppm->H1); + class_read_double("H_2",ppm->H2); + class_read_double("H_3",ppm->H3); + class_read_double("H_4",ppm->H4); + } + /* Test */ + class_test(ppm->H0 <= 0., + errmsg, + "inconsistent parametrization of polynomial inflation potential"); + } + } - return _SUCCESS_; + /** 1.e) For type 'inflation_V_end' */ + else if (ppm->primordial_spec_type == inflation_V_end) { -} + /** 1.e.1) Value of the field at the minimum of the potential */ + /* Read */ + class_read_double("phi_end",ppm->phi_end); -/** - * Initialize the precision parameter structure. - * - * All precision parameters used in the other modules are listed here - * and assigned here a default value. - * - * @param ppr Input/Output: a precision_params structure pointer - * @return the error status - * - */ + /** 1.e.2) Shape of the potential */ + /* Read */ + class_call(parser_read_string(pfc,"full_potential",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if (strcmp(string1,"polynomial") == 0){ + ppm->potential = polynomial; + } + else if (strcmp(string1,"higgs_inflation") == 0){ + ppm->potential = higgs_inflation; + } + else{ + class_stop(errmsg,"You specified 'full_potential' as '%s'. It has to be one of {'polynomial','higgs_inflation'}.",string1); + } + } -int input_default_precision ( struct precision * ppr ) { + /** 1.e.3) Parameters of the potential */ + /* Read */ + class_read_double("Vparam0",ppm->V0); + class_read_double("Vparam1",ppm->V1); + class_read_double("Vparam2",ppm->V2); + class_read_double("Vparam3",ppm->V3); + class_read_double("Vparam4",ppm->V4); - /** Initialize presicion parameters for different structures: - * - parameters related to the background - */ + /** 1.e.4) How much the scale factor a or the product (aH) increases between + Hubble crossing for the pivot scale (during inflation) and the + end of inflation */ + /* Read */ + class_call(parser_read_string(pfc,"ln_aH_ratio",&string1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_string(pfc,"N_star",&string2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'ln_aH_ratio' or 'N_star'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if ((strstr(string1,"auto") != NULL) || (strstr(string1,"AUTO") != NULL)){ + ppm->phi_pivot_method = ln_aH_ratio_auto; + } + else { + ppm->phi_pivot_method = ln_aH_ratio; + class_read_double("ln_aH_ratio",ppm->phi_pivot_target); + } + } + if (flag2 == _TRUE_) { + ppm->phi_pivot_method = N_star; + class_read_double("N_star",ppm->phi_pivot_target); + } - ppr->a_ini_over_a_today_default = 1.e-14; - ppr->back_integration_stepsize = 7.e-3; - ppr->tol_background_integration = 1.e-2; + /** 1.e.5) Should the inflation module do its nomral job of numerical + integration ('numerical') or use analytical slow-roll formulas + to infer the primordial spectrum from the potential + ('analytical')? */ + /* Read */ + class_call(parser_read_string(pfc,"inflation_behavior",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if (strstr(string1,"numerical") != NULL){ + ppm->behavior = numerical; + } + else if (strstr(string1,"analytical") != NULL){ + ppm->behavior = analytical; + } + else{ + class_stop(errmsg,"You specified 'inflation_behavior' as '%s'. It has to be one of {'numerical','analytical'}.",string1); + } + } + } - ppr->tol_initial_Omega_r = 1.e-4; - ppr->tol_M_ncdm = 1.e-7; - ppr->tol_ncdm = 1.e-3; - ppr->tol_ncdm_synchronous = 1.e-3; - ppr->tol_ncdm_newtonian = 1.e-5; - ppr->tol_ncdm_bg = 1.e-5; - ppr->tol_ncdm_initial_w=1.e-3; + /** 1.f) For type 'two_scales' */ + else if (ppm->primordial_spec_type == two_scales) { - ppr->tol_tau_eq = 1.e-6; + /** 1.f.1) Wavenumbers */ + /* Read */ + class_read_double("k1",k1); + class_read_double("k2",k2); + /* Test */ + class_test(k1<=0.,errmsg,"enter strictly positive scale k1"); + class_test(k2<=0.,errmsg,"enter strictly positive scale k2"); - /** - * - parameters related to the thermodynamics - */ + if (ppt->has_scalars == _TRUE_){ - /* for bbn */ - sprintf(ppr->sBBN_file,__CLASSDIR__); - strcat(ppr->sBBN_file,"/bbn/sBBN_2017.dat"); + /** 1.f.2) Amplitudes for the adiabatic primordial spectrum */ + /* Read */ + class_read_double("P_{RR}^1",prr1); + class_read_double("P_{RR}^2",prr2); + /* Test */ + class_test(prr1<=0.,errmsg,"enter strictly positive scale P_{RR}^1"); + class_test(prr2<=0.,errmsg,"enter strictly positive scale P_{RR}^2"); + /* Complete set of parameters */ + ppm->n_s = log(prr2/prr1)/log(k2/k1)+1.; + ppm->A_s = prr1*exp((ppm->n_s-1.)*log(ppm->k_pivot/k1)); - /* for recombination */ + /** 1.f.3) Isocurvature amplitudes */ + if ((ppt->has_bi == _TRUE_) || (ppt->has_cdi == _TRUE_) || (ppt->has_nid == _TRUE_) || (ppt->has_niv == _TRUE_)){ + /* Read */ + class_read_double("P_{II}^1",pii1); + class_read_double("P_{II}^2",pii2); + class_read_double("P_{RI}^1",pri1); + class_read_double("|P_{RI}^2|",pri2); + /* Test */ + class_test(pii1 <= 0., + errmsg, + "since you request iso modes, you should have P_{ii}^1 strictly positive"); + class_test(pii2 < 0., + errmsg, + "since you request iso modes, you should have P_{ii}^2 positive or eventually null"); + class_test(pri2 < 0., + errmsg, + "by definition, you should have |P_{ri}^2| positive or eventually null"); - ppr->recfast_z_initial=1.e4; - ppr->recfast_Nz0=20000; - ppr->tol_thermo_integration=1.e-2; + /** 1.f.4) Uncorrelated or anti-correlated? */ + /* Read */ + class_call(parser_read_string(pfc,"special iso",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && (strstr(string1,"axion") != NULL)){ // Axion case, only one iso parameter: piir1 + n_iso = 1.; + n_cor = 0.; + c_cor = 0.; + } + else if ((flag1 == _TRUE_) && (strstr(string1,"anticurvaton") != NULL)){ // Curvaton case, only one iso parameter: piir1 + n_iso = ppm->n_s; + n_cor = 0.; + c_cor = 1.; + } + else if ((flag1 == _TRUE_) && (strstr(string1,"curvaton") != NULL)){ // inverted-correlation-curvaton case, only one iso parameter: piir1 + n_iso = ppm->n_s; + n_cor = 0.; + c_cor = -1.; + } + else{ // general case, but if pii2 or pri2=0, the code interprets it as a request for n_iso=n_ad or n_cor=0 respectively + if (pii2 == 0.){ + n_iso = ppm->n_s; + } + else{ + class_test((pii1==0.) || (pii2 == 0.) || (pii1*pii2<0.),errmsg,"should NEVER happen"); + n_iso = log(pii2/pii1)/log(k2/k1)+1.; + } + class_test(pri1==0,errmsg,"the general isocurvature case requires a non-zero P_{RI}^1"); + if (pri2 == 0.){ + n_cor = 0.; + } + else{ + class_test((pri1==0.) || (pri2 <= 0.) || (pii1*pii2<0),errmsg,"should NEVER happen"); + n_cor = log(pri2/fabs(pri1))/log(k2/k1)-0.5*(ppm->n_s+n_iso-2.); + } + c_cor = -pri1/sqrt(pii1*prr1)*exp(n_cor*log(ppm->k_pivot/k1)); + /* Test */ + class_test((pii1*prr1<=0.),errmsg,"should NEVER happen"); + class_test(fabs(pri1)/sqrt(pii1*prr1)>1,errmsg,"too large ad-iso cross-correlation in k1"); + class_test(fabs(pri1)/sqrt(pii1*prr1)*exp(n_cor*log(k2/k1))>1,errmsg,"too large ad-iso cross-correlation in k2"); + } + /* Complete set of parameters */ + class_test((pii1==0.) || (prr1 == 0.) || (pii1*prr1<0.),errmsg,"should NEVER happen"); + f_iso = sqrt(pii1/prr1)*exp(0.5*(n_iso-ppm->n_s)*log(ppm->k_pivot/k1)); + } + if (ppt->has_bi == _TRUE_){ + ppm->f_bi = f_iso; + ppm->n_bi = n_iso; + ppm->c_ad_bi = c_cor; + ppm->n_ad_bi = n_cor; + } + if (ppt->has_cdi == _TRUE_){ + ppm->f_cdi = f_iso; + ppm->n_cdi = n_iso; + ppm->c_ad_cdi = c_cor; + ppm->n_ad_cdi = n_cor; + } + if (ppt->has_nid == _TRUE_){ + ppm->f_nid = f_iso; + ppm->n_nid = n_iso; + ppm->c_ad_nid = c_cor; + ppm->n_ad_nid = n_cor; + } + if (ppt->has_niv == _TRUE_){ + ppm->f_niv = f_iso; + ppm->n_niv = n_iso; + ppm->c_ad_niv = c_cor; + ppm->n_ad_niv = n_cor; + } + } + ppm->primordial_spec_type = analytic_Pk; + } - ppr->recfast_Heswitch=6; /* from recfast 1.4 */ - ppr->recfast_fudge_He=0.86; /* from recfast 1.4 */ + /** 1.g) For type 'external_Pk' */ + else if (ppm->primordial_spec_type == external_Pk){ - ppr->recfast_Hswitch = _TRUE_; /* from recfast 1.5 */ - ppr->recfast_fudge_H = 1.14; /* from recfast 1.4 */ - ppr->recfast_delta_fudge_H = -0.015; /* from recfast 1.5.2 */ - ppr->recfast_AGauss1 = -0.14; /* from recfast 1.5 */ - ppr->recfast_AGauss2 = 0.079; /* from recfast 1.5.2 */ - ppr->recfast_zGauss1 = 7.28; /* from recfast 1.5 */ - ppr->recfast_zGauss2 = 6.73; /* from recfast 1.5.2 */ - ppr->recfast_wGauss1 = 0.18; /* from recfast 1.5 */ - ppr->recfast_wGauss2 = 0.33; /* from recfast 1.5 */ + /** 1.g.1) Command generating the table */ + /* Read */ + class_call(parser_read_string(pfc, "command", &string1, &flag1, errmsg), + errmsg, errmsg); + /* Test */ + class_test(strlen(string1) == 0, + errmsg, + "You omitted to write a command for the external Pk"); + /* Complete set of parameters */ + ppm->command = (char *) malloc (strlen(string1) + 1); + strcpy(ppm->command, string1); - ppr->recfast_z_He_1 = 8000.; /* from recfast 1.4 */ - ppr->recfast_delta_z_He_1 = 50.; /* found to be OK on 3.09.10 */ - ppr->recfast_z_He_2 = 5000.; /* from recfast 1.4 */ - ppr->recfast_delta_z_He_2 = 100.; /* found to be OK on 3.09.10 */ - ppr->recfast_z_He_3 = 3500.; /* from recfast 1.4 */ - ppr->recfast_delta_z_He_3 = 50.; /* found to be OK on 3.09.10 */ - ppr->recfast_x_He0_trigger = 0.995; /* raised from 0.99 to 0.995 for smoother Helium */ - ppr->recfast_x_He0_trigger2 = 0.995; /* raised from 0.985 to same as previous one for smoother Helium */ - ppr->recfast_x_He0_trigger_delta = 0.05; /* found to be OK on 3.09.10 */ - ppr->recfast_x_H0_trigger = 0.995; /* raised from 0.99 to 0.995 for smoother Hydrogen */ - ppr->recfast_x_H0_trigger2 = 0.995; /* raised from 0.98 to same as previous one for smoother Hydrogen */ - ppr->recfast_x_H0_trigger_delta = 0.05; /* found to be OK on 3.09.10 */ + /** 1.g.2) Command generating the table */ + /* Read */ + class_read_double("custom1",ppm->custom1); + class_read_double("custom2",ppm->custom2); + class_read_double("custom3",ppm->custom3); + class_read_double("custom4",ppm->custom4); + class_read_double("custom5",ppm->custom5); + class_read_double("custom6",ppm->custom6); + class_read_double("custom7",ppm->custom7); + class_read_double("custom8",ppm->custom8); + class_read_double("custom9",ppm->custom9); + class_read_double("custom10",ppm->custom10); + } - ppr->recfast_H_frac=1.e-3; /* from recfast 1.4 */ + /* Final tests */ + if ((ppm->primordial_spec_type == inflation_V) || (ppm->primordial_spec_type == inflation_H) || (ppm->primordial_spec_type == inflation_V_end)) { + class_test(ppt->has_scalars == _FALSE_, + errmsg, + "inflationary module cannot work if you do not ask for scalar modes"); + class_test(ppt->has_vectors == _TRUE_, + errmsg, + "inflationary module cannot work if you ask for vector modes"); + class_test(ppt->has_tensors == _FALSE_, + errmsg, + "inflationary module cannot work if you do not ask for tensor modes"); + class_test(ppt->has_bi == _TRUE_ || ppt->has_cdi == _TRUE_ || ppt->has_nid == _TRUE_ || ppt->has_niv == _TRUE_, + errmsg, + "inflationary module cannot work if you ask for isocurvature modes"); + } - sprintf(ppr->hyrec_Alpha_inf_file,__CLASSDIR__); - strcat(ppr->hyrec_Alpha_inf_file,"/hyrec/Alpha_inf.dat"); - sprintf(ppr->hyrec_R_inf_file,__CLASSDIR__); - strcat(ppr->hyrec_R_inf_file,"/hyrec/R_inf.dat"); - sprintf(ppr->hyrec_two_photon_tables_file,__CLASSDIR__); - strcat(ppr->hyrec_two_photon_tables_file,"/hyrec/two_photon_tables.dat"); + return _SUCCESS_; - /* for reionization */ +} - ppr->reionization_z_start_max = 50.; - ppr->reionization_sampling=5.e-2; - ppr->reionization_optical_depth_tol=1.e-4; - ppr->reionization_start_factor=8.; - /* general */ +/** + * Read the parameters of harmonic structure. + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppm Input: pointer to primordial structure + * @param ppt Input: pointer to perturbations structure + * @param ptr Input: pointer to transfer structure + * @param phr Input: pointer to harmonic structure + * @param pop Input: pointer to output structure + * @param errmsg Input: Error message + * @return the error status + */ - ppr->thermo_rate_smoothing_radius=50; +int input_read_parameters_spectra(struct file_content * pfc, + struct precision * ppr, + struct background * pba, + struct primordial * ppm, + struct perturbations * ppt, + struct transfer * ptr, + struct harmonic *phr, + struct output * pop, + ErrorMsg errmsg){ - /** - * - parameters related to the perturbations - */ + /** Summary: */ - ppr->evolver = ndf15; - - ppr->k_min_tau0=0.1; - ppr->k_max_tau0_over_l_max=2.4; // very relevant for accuracy of lensed ClTT at highest l's - ppr->k_step_sub=0.05; - ppr->k_step_super=0.002; - ppr->k_step_transition=0.2; - ppr->k_step_super_reduction=0.1; - ppr->k_per_decade_for_pk=10.; - ppr->k_per_decade_for_bao=70.; - ppr->k_bao_center=3.; - ppr->k_bao_width=4.; - - ppr->start_small_k_at_tau_c_over_tau_h = 1.e-4; /* decrease to start earlier in time */ - ppr->start_large_k_at_tau_h_over_tau_k = 1.e-4; /* decrease to start earlier in time */ - ppr->tight_coupling_trigger_tau_c_over_tau_h=0.015; /* decrease to switch off earlier in time */ - ppr->tight_coupling_trigger_tau_c_over_tau_k=0.01; /* decrease to switch off earlier in time */ - ppr->start_sources_at_tau_c_over_tau_h = 0.008; /* decrease to start earlier in time */ - ppr->tight_coupling_approximation=(int)compromise_CLASS; - - ppr->l_max_g=12; - ppr->l_max_pol_g=10; - ppr->l_max_dr=17; - ppr->l_max_ur=17; - ppr->l_max_ncdm=17; - ppr->l_max_g_ten=5; - ppr->l_max_pol_g_ten=5; - - ppr->curvature_ini=1.; /* initial curvature; used to fix adiabatic initial conditions; must remain fixed to one as long as the primordial adiabatic spectrum stands for the curvature power spectrum */ - ppr->entropy_ini=1.; /* initial entropy; used to fix isocurvature initial conditions; must remain fixed to one as long as the primordial isocurvature spectrum stands for an entropy power spectrum */ - //ppr->gw_ini=0.25; /* to match normalization convention for GW in most of literature and ensure standard definition of r */ - ppr->gw_ini=1.; - - ppr->perturb_integration_stepsize=0.5; - - ppr->tol_tau_approx=1.e-10; - ppr->tol_perturb_integration=1.e-5; - ppr->perturb_sampling_stepsize=0.05; - - ppr->radiation_streaming_approximation = rsa_MD_with_reio; - ppr->radiation_streaming_trigger_tau_over_tau_k = 45.; - ppr->radiation_streaming_trigger_tau_c_over_tau = 5.; - - ppr->ur_fluid_approximation = ufa_CLASS; - ppr->ur_fluid_trigger_tau_over_tau_k = 30.; - - ppr->ncdm_fluid_approximation = ncdmfa_CLASS; - ppr->ncdm_fluid_trigger_tau_over_tau_k = 31.; - - ppr->neglect_CMB_sources_below_visibility = 1.e-3; + /** Define local variables */ + int flag1, flag2; + double param1, param2; + char string1[_ARGUMENT_LENGTH_MAX_]; + int int1; + double * pointer1; + int i; + double z_max=0.; + int bin; - /** - * - parameter related to the quasi-static approximation scheme (qs_smg) - */ + /** 1) Maximum l for CLs */ + /* Read */ + if (ppt->has_cls == _TRUE_) { + if (ppt->has_scalars == _TRUE_) { + if ((ppt->has_cl_cmb_temperature == _TRUE_) || (ppt->has_cl_cmb_polarization == _TRUE_) || (ppt->has_cl_cmb_lensing_potential == _TRUE_)){ + class_read_double("l_max_scalars",ppt->l_scalar_max); + } + if ((ppt->has_cl_lensing_potential == _TRUE_) || (ppt->has_cl_number_count == _TRUE_)){ + class_read_double("l_max_lss",ppt->l_lss_max); + } + } + if (ppt->has_vectors == _TRUE_){ + class_read_double("l_max_vectors",ppt->l_vector_max); + } + if (ppt->has_tensors == _TRUE_) { + class_read_double("l_max_tensors",ppt->l_tensor_max); + } + } - ppr->n_min_qs_smg = 1e2; - ppr->n_max_qs_smg = 1e4; - ppr->z_fd_qs_smg = 10.; - ppr->trigger_mass_qs_smg = 1.e3; - ppr->trigger_rad_qs_smg = 1.e3; - ppr->eps_s_qs_smg = 0.01; - ppr->get_h_from_trace_smg = _FALSE_; - // precision parameters for setting initial conditions + /** 2) Parameters for the the matter density number count */ + if ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)) { - ppr->min_a_pert_smg = 1.; - ppr->pert_ic_ini_z_ref_smg = 1e10;/* redshift at which initial IC stability test performed */ - ppr->pert_ic_tolerance_smg = 2e-2; /* tolerance to deviations from n=2 for IC h~tau^n as evaluated at pert_ic_ini_z_ref_smg. Negative values override test */ - ppr->pert_ic_regulator_smg = 1e-15; /* minumum size of denominator in IC expressions: regulate to prevent infinities. Negative => off */ - ppr->pert_qs_ic_tolerance_test_smg = 1; /* Maximal contribution to zeta non-conservation source from QS SMG in (0i) Einstein equation*/ + /** 2.a) Selection functions W(z) of each redshift bin */ + /* Read */ + class_call(parser_read_string(pfc,"selection",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if (strstr(string1,"gaussian") != NULL){ + ppt->selection=gaussian; + } + else if (strstr(string1,"tophat") != NULL){ + ppt->selection=tophat; + } + else if (strstr(string1,"dirac") != NULL){ + ppt->selection=dirac; + } + else { + class_stop(errmsg,"You specified 'selection' as '%s'. It has to be one of {'gaussian','tophat','dirac'}.",string1); + } + } + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"selection_mean",&(int1),&(pointer1),&flag1,errmsg), + errmsg, + errmsg); + if ((flag1 == _TRUE_) && (int1>0)) { + /* Test */ + class_test(int1 > _SELECTION_NUM_MAX_,errmsg, + "you want to compute density Cl's for %d different bins, hence you should increase _SELECTION_NUM_MAX_ in include/perturbations.h to at least this number.",int1); + /* Complete set of parameters */ + ppt->selection_num = int1; + for (i=0; i 1000.),errmsg, + "input of selection functions: you asked for a mean redshift equal to %e, is this a mistake?",pointer1[i]); + /* Complete set of parameters */ + ppt->selection_mean[i] = pointer1[i]; + } + free(pointer1); + for (i=1; iselection_mean[i]<=ppt->selection_mean[i-1], + errmsg, + "input of selection functions: the list of mean redshifts must be passed in growing order; you entered %e before %e.",ppt->selection_mean[i-1],ppt->selection_mean[i]); + /* Complete set of parameters */ + ppt->selection_width[i] = ppt->selection_width[0]; + ptr->selection_bias[i] = ptr->selection_bias[0]; + ptr->selection_magnification_bias[i] = ptr->selection_magnification_bias[0]; + } + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"selection_width",&int1,&pointer1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && (int1>0)) { + if (int1==1) { + for (i=0; iselection_num; i++) { + ppt->selection_width[i] = pointer1[0]; + } + } + else if (int1==ppt->selection_num) { + for (i=0; iselection_width[i] = pointer1[i]; + } + } + else { + class_stop(errmsg, + "In input for selection function, you asked for %d bin centers and %d bin widths; number of bins unclear; you should pass either one bin width (common to all bins) or %d bin widths.",ppt->selection_num,int1,ppt->selection_num); + } + free(pointer1); + } - /** - * - parameter related to the primordial spectra - */ + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"selection_bias",&int1,&pointer1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && (int1>0)) { + if (int1==1) { + for (i=0; iselection_num; i++) { + ptr->selection_bias[i] = pointer1[0]; + } + } + else if (int1==ppt->selection_num) { + for (i=0; iselection_bias[i] = pointer1[i]; + } + } + else { + class_stop(errmsg, + "In input for selection function, you asked for %d bin centers and %d bin biases; number of bins unclear; you should pass either one bin bias (common to all bins) or %d bin biases.", + ppt->selection_num,int1,ppt->selection_num); + } + free(pointer1); + } - ppr->k_per_decade_primordial = 10.; - - ppr->primordial_inflation_ratio_min=100.; - ppr->primordial_inflation_ratio_max=1/50.; - ppr->primordial_inflation_phi_ini_maxit=10000; - ppr->primordial_inflation_pt_stepsize=0.01; - ppr->primordial_inflation_bg_stepsize=0.005; - ppr->primordial_inflation_tol_integration=1.e-3; - ppr->primordial_inflation_attractor_precision_pivot=0.001; - ppr->primordial_inflation_attractor_precision_initial=0.1; - ppr->primordial_inflation_attractor_maxit=10; - ppr->primordial_inflation_tol_curvature=1.e-3; - ppr->primordial_inflation_aH_ini_target=0.9; - ppr->primordial_inflation_end_dphi=1.e-10; - ppr->primordial_inflation_end_logstep=10.; - ppr->primordial_inflation_small_epsilon=0.1; - ppr->primordial_inflation_small_epsilon_tol=0.01; - ppr->primordial_inflation_extra_efolds=2.; + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"selection_magnification_bias",&int1,&pointer1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && (int1>0)) { + if (int1==1) { + for (i=0; iselection_num; i++) { + ptr->selection_magnification_bias[i] = pointer1[0]; + } + } + else if (int1==ppt->selection_num) { + for (i=0; iselection_magnification_bias[i] = pointer1[i]; + } + } + else { + class_stop(errmsg, + "In input for selection function, you asked for %d bin centers and %d bin biases; number of bins unclear; you should pass either one bin bias (common to all bins) or %d bin biases.", + ppt->selection_num,int1,ppt->selection_num); + } + free(pointer1); + } + } - /** - * - parameter related to the transfer functions - */ + /* Read */ + if (ppt->selection_num > 1) { + class_read_int("non_diagonal",phr->non_diag); + if ((phr->non_diag<0) || (phr->non_diag>=ppt->selection_num)) + class_stop(errmsg,"Input for non_diagonal is %d, while it is expected to be between 0 and %d\n", + phr->non_diag,ppt->selection_num-1); + } - ppr->l_logstep=1.045; - ppr->l_linstep=50; - - ppr->hyper_x_min = 1.e-5; - ppr->hyper_sampling_flat = 8.; - ppr->hyper_sampling_curved_low_nu = 7.0; // changed from 6.0 to 7.0 in v2.6.0, otherwise C2 can be very wrong with large curvature - ppr->hyper_sampling_curved_high_nu = 3.0; - ppr->hyper_nu_sampling_step = 1000.; - ppr->hyper_phi_min_abs = 1.e-10; - ppr->hyper_x_tol = 1.e-4; - ppr->hyper_flat_approximation_nu = 4000.; - - ppr->q_linstep=0.45; - ppr->q_logstep_spline=170.; - ppr->q_logstep_open=6.; - ppr->q_logstep_trapzd=20.; - ppr->q_numstep_transition=250.; - - ppr->transfer_neglect_delta_k_S_t0 = 0.15; - ppr->transfer_neglect_delta_k_S_t1 = 0.04; - ppr->transfer_neglect_delta_k_S_t2 = 0.15; - ppr->transfer_neglect_delta_k_S_e = 0.11; - ppr->transfer_neglect_delta_k_V_t1 = 1.; - ppr->transfer_neglect_delta_k_V_t2 = 1.; - ppr->transfer_neglect_delta_k_V_e = 1.; - ppr->transfer_neglect_delta_k_V_b = 1.; - ppr->transfer_neglect_delta_k_T_t2 = 0.2; - ppr->transfer_neglect_delta_k_T_e = 0.25; - ppr->transfer_neglect_delta_k_T_b = 0.1; - - ppr->transfer_neglect_late_source = 400.; - - ppr->l_switch_limber=10.; - // For density Cl, we recommend not to use the Limber approximation - // at all, and hence to put here a very large number (e.g. 10000); but - // if you have wide and smooth selection functions you may wish to - // use it; then 100 might be OK - ppr->l_switch_limber_for_nc_local_over_z=100.; - // For terms integrated along the line-of-sight involving spherical - // Bessel functions (but not their derivatives), Limber - // approximation works well. High precision can be reached with 2000 - // only. But if you have wide and smooth selection functions you may - // reduce to e.g. 30. - ppr->l_switch_limber_for_nc_los_over_z=30.; - - ppr->selection_cut_at_sigma=5.; - ppr->selection_sampling=50; - ppr->selection_sampling_bessel=20; - ppr->selection_sampling_bessel_los=ppr->selection_sampling_bessel; - ppr->selection_tophat_edge=0.1; + /** 2.b) Selection function */ + /* Read */ + class_call(parser_read_string(pfc,"dNdz_selection",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if ((strstr(string1,"analytic") != NULL)){ + ptr->has_nz_analytic = _TRUE_; + } + else{ + ptr->has_nz_file = _TRUE_; + class_read_string("dNdz_selection",ptr->nz_file_name); + } + } - /** - * - parameters related to spectra module - */ + /** 2.c) Source number counts evolution */ + class_call(parser_read_string(pfc,"dNdz_evolution",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_) { + if ((strstr(string1,"analytic") != NULL)){ + ptr->has_nz_evo_analytic = _TRUE_; + } + else{ + ptr->has_nz_evo_file = _TRUE_; + class_read_string("dNdz_evolution",ptr->nz_evo_file_name); + } + } - /* nothing */ + } - /** - * - parameters related to nonlinear module - */ - ppr->halofit_min_k_nonlinear = 1.e-4; - ppr->halofit_min_k_max = 5.; - ppr->halofit_k_per_decade = 80.; - ppr->halofit_sigma_precision = 0.05; - ppr->halofit_tol_sigma = 1.e-6; - ppr->pk_eq_z_max = 5.; - ppr->pk_eq_tol = 1.e-7; + /** 3) Power spectrum P(k) */ + if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)){ - /** - * - parameter related to lensing - */ + /** 3.a) Maximum k in P(k) */ + /* Read */ + class_call(parser_read_double(pfc,"P_k_max_h/Mpc",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"P_k_max_1/Mpc",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'P_k_max_h/Mpc' or 'P_k_max_1/Mpc'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + ppt->k_max_for_pk = param1*pba->h; + } + if (flag2 == _TRUE_){ + ppt->k_max_for_pk = param2; + } - ppr->accurate_lensing=_FALSE_; - ppr->num_mu_minus_lmax=70; - ppr->delta_l_max=500; // 750 for 0.2% near l_max, 1000 for 0.1% + /** 3.a.1) Maximum k in primordial P(k) */ + /* Read */ + class_call(parser_read_double(pfc,"primordial_P_k_max_h/Mpc",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"primordial_P_k_max_1/Mpc",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'primordial_P_k_max_h/Mpc' or 'primordial_P_k_max_1/Mpc'."); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + ppm->k_max_for_primordial_pk=param1*pba->h; + ppm->has_k_max_for_primordial_pk = _TRUE_; + } + if (flag2 == _TRUE_){ + ppm->k_max_for_primordial_pk=param2; + ppm->has_k_max_for_primordial_pk = _TRUE_; + } - /** - * - automatic estimate of machine precision - */ + /** 3.b) Redshift values */ + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"z_pk",&int1,&pointer1,&flag1,errmsg), + errmsg, + errmsg); + /* Test */ + if (flag1 == _TRUE_) { + class_test(int1 > _Z_PK_NUM_MAX_, + errmsg, + "you want to write some output for %d different values of z, hence you should increase _Z_PK_NUM_MAX_ in include/output.h to at least this number", + int1); + /* Complete set of parameters */ + pop->z_pk_num = int1; + for (i=0; iz_pk[i] = pointer1[i]; + } + free(pointer1); + } - //get_machine_precision(&(ppr->smallest_allowed_variation)); - ppr->smallest_allowed_variation=DBL_EPSILON; + } - class_test(ppr->smallest_allowed_variation < 0, - ppr->error_message, - "smallest_allowed_variation = %e < 0",ppr->smallest_allowed_variation); + /** 3.c) Maximum redshift */ + if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_) || (ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)) { + /* Read */ + class_call(parser_read_double(pfc,"z_max_pk",¶m1,&flag1,errmsg), + errmsg, + errmsg); - ppr->tol_gauss_legendre = ppr->smallest_allowed_variation; + /* Complete set of parameters */ + if (flag1==_TRUE_) { + ppt->z_max_pk = param1; + } + /* * + * If we could not read a z_max, we need to define one. + * The limit could come from any of the contributions. + * We test here, which contribution requires the largest z_max + * */ + else { + ppt->z_max_pk = 0.; + /* For the z_pk related quantities, test here the z_pk requirements */ + if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { + for (i=0; iz_pk_num; i++) { + ppt->z_max_pk = MAX(ppt->z_max_pk,pop->z_pk[i]); + } + } + /* For the number count / shear related quantities, test the selection function z_max */ + if ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_)){ + for (bin=0; binselection_num; bin++) { + /* the few lines below should be consistent with their counterpart in transfer.c, in transfer_selection_times */ + if (ppt->selection==gaussian) { + z_max = ppt->selection_mean[bin]+ppt->selection_width[bin]*ppr->selection_cut_at_sigma; + } + if (ppt->selection==tophat) { + z_max = ppt->selection_mean[bin]+(1.+ppr->selection_cut_at_sigma*ppr->selection_tophat_edge)*ppt->selection_width[bin]; + } + if (ppt->selection==dirac) { + z_max = ppt->selection_mean[bin]; + } + ppt->z_max_pk = MAX(ppt->z_max_pk,z_max); + } + } + /* Now we have checked all contributions that could change z_max_pk */ + } + } return _SUCCESS_; } -int class_version( - char * version - ) { - - sprintf(version,"%s",_VERSION_); - return _SUCCESS_; -} /** - * Automatically computes the machine precision. - * - * @param smallest_allowed_variation a pointer to the smallest allowed variation + * Read the parameters of perturbations, transfer and lensing + * structures that are relevant for lensing. * - * Returns the smallest - * allowed variation (minimum epsilon * _TOLVAR_) + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param ppt Input: pointer to perturbations structure + * @param ptr Input: pointer to transfer structure + * @param ple Input: pointer to lensing structure + * @param errmsg Input: Error message + * @return the error status */ -int get_machine_precision(double * smallest_allowed_variation) { - double one, meps, sum; - - one = 1.0; - meps = 1.0; - do { - meps /= 2.0; - sum = one + meps; - } while (sum != one); - meps *= 2.0; +int input_read_parameters_lensing(struct file_content * pfc, + struct precision * ppr, + struct perturbations * ppt, + struct transfer * ptr, + struct lensing *ple, + ErrorMsg errmsg){ - *smallest_allowed_variation = meps * _TOLVAR_; - - return _SUCCESS_; + /** Summary: */ -} + /** Define local variables */ + int flag1,flag2; + double param1,param2; + char string1[_ARGUMENT_LENGTH_MAX_]; -int input_fzerofun_1d(double input, - void* pfzw, - double *output, - ErrorMsg error_message){ + /** 1) Lensed spectra? */ + /* Read */ + class_call(parser_read_string(pfc,"lensing",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if ((flag1 == _TRUE_) && (string_begins_with(string1,'y') || string_begins_with(string1,'Y'))){ + if ((ppt->has_scalars == _TRUE_) && ((ppt->has_cl_cmb_temperature == _TRUE_) || (ppt->has_cl_cmb_polarization == _TRUE_)) && (ppt->has_cl_cmb_lensing_potential == _TRUE_)){ + ple->has_lensed_cls = _TRUE_; + /* Slightly increase precision by delta_l_max for more precise lensed Cl's*/ + ppt->l_scalar_max += ppr->delta_l_max; + } + else { + class_stop(errmsg,"you asked for lensed CMB Cls, but this requires a minimal number of options: 'modes' should include 's', 'output' should include 'tCl' and/or 'pCl', and also, importantly, 'lCl', the CMB lensing potential spectrum."); + } + } - class_call(input_try_unknown_parameters(&input, - 1, - pfzw, - output, - error_message), - error_message, - error_message); - return _SUCCESS_; -} + /** 2) Should the lensed spectra be rescaled (either with just A_L, or otherwise with amplitude, and tilt and pivot scale in k space) */ + /* Read */ + if ((ppt->has_scalars == _TRUE_) && (ppt->has_cl_cmb_lensing_potential == _TRUE_)) { -int class_fzero_ridder(int (*func)(double x, void *param, double *y, ErrorMsg error_message), - double x1, - double x2, - double xtol, - void *param, - double *Fx1, - double *Fx2, - double *xzero, - int *fevals, - ErrorMsg error_message){ - /**Using Ridders' method, return the root of a function func known to - lie between x1 and x2. The root, returned as zriddr, will be found to - an approximate accuracy xtol. - */ - int j,MAXIT=1000; - double ans,fh,fl,fm,fnew,s,xh,xl,xm,xnew; - if ((Fx1!=NULL)&&(Fx2!=NULL)){ - fl = *Fx1; - fh = *Fx2; - } - else{ - class_call((*func)(x1, param, &fl, error_message), - error_message, error_message); - class_call((*func)(x2, param, &fh, error_message), - error_message, error_message); + class_call(parser_read_double(pfc,"A_L",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"lcmb_rescale",¶m2,&flag2,errmsg), + errmsg, + errmsg); - *fevals = (*fevals)+2; - } - if ((fl > 0.0 && fh < 0.0) || (fl < 0.0 && fh > 0.0)) { - xl=x1; - xh=x2; - ans=-1.11e11; - for (j=1;j<=MAXIT;j++) { - xm=0.5*(xl+xh); - class_call((*func)(xm, param, &fm, error_message), - error_message, error_message); - *fevals = (*fevals)+1; - s=sqrt(fm*fm-fl*fh); - if (s == 0.0){ - *xzero = ans; - //printf("Success 1\n"); - return _SUCCESS_; - } - xnew=xm+(xm-xl)*((fl >= fh ? 1.0 : -1.0)*fm/s); - if (fabs(xnew-ans) <= xtol) { - *xzero = ans; - return _SUCCESS_; - } - ans=xnew; - class_call((*func)(ans, param, &fnew, error_message), - error_message, error_message); - *fevals = (*fevals)+1; - if (fnew == 0.0){ - *xzero = ans; - //printf("Success 2, ans=%g\n",ans); - return _SUCCESS_; + if ((flag1 == _TRUE_) && (flag2 == _TRUE_)) { + class_stop(errmsg,"You cannot pass both A_l and lcdmb_rescale, choose one"); + } + else { + if (flag1 == _TRUE_) { + ptr->lcmb_rescale = sqrt(param1); } - if (NRSIGN(fm,fnew) != fm) { - xl=xm; - fl=fm; - xh=ans; - fh=fnew; - } else if (NRSIGN(fl,fnew) != fl) { - xh=ans; - fh=fnew; - } else if (NRSIGN(fh,fnew) != fh) { - xl=ans; - fl=fnew; - } else return _FAILURE_; - if (fabs(xh-xl) <= xtol) { - *xzero = ans; - // printf("Success 3\n"); - return _SUCCESS_; + if (flag2 == _TRUE_) { + ptr->lcmb_rescale = param2; } } - class_stop(error_message,"zriddr exceed maximum iterations"); - } - else { - if (fl == 0.0) return x1; - if (fh == 0.0) return x2; - class_stop(error_message,"root must be bracketed in zriddr."); + class_read_double("lcmb_tilt",ptr->lcmb_tilt); + class_read_double("lcmb_pivot",ptr->lcmb_pivot); } - class_stop(error_message,"Failure in int."); + + /** 3) In general, do we want to use the full Limber scheme introduced in v3.2.2? With this full Limber scheme, the calculation of the CMB lensing potential spectrum C_l^phiphi for l > ppr->l_switch_limber is based on a new integration scheme. Compared to the previous scheme, which can be recovered by switching this parameter to _FALSE_, the new scheme uses a larger k_max and a coarser k-grid (or q-grid) than the CMB transfer function. The new scheme is used by default, because the old one is inaccurate at large l due to the too small k_max. */ + + class_read_flag("want_lcmb_full_limber",ppt->want_lcmb_full_limber); + + return _SUCCESS_; + } -int input_try_unknown_parameters(double * unknown_parameter, - int unknown_parameters_size, - void * voidpfzw, - double * output, - ErrorMsg errmsg){ - /** Summary: - * - Call the structures*/ - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - int i; - double rho_dcdm_today, rho_dr_today; - struct fzerofun_workspace * pfzw; - int input_verbose; - int flag; - int param; - short compute_sigma8 = _FALSE_; +/** + * Read free parameters of distortions structure. + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param psd Input: pointer to distortions structure + * @param errmsg Input: Error message + * @return the error status + */ - pfzw = (struct fzerofun_workspace *) voidpfzw; +int input_read_parameters_distortions(struct file_content * pfc, + struct precision * ppr, + struct distortions * psd, + ErrorMsg errmsg){ - for (i=0; i < unknown_parameters_size; i++) { - sprintf(pfzw->fc.value[pfzw->unknown_parameters_index[i]], - "%e",unknown_parameter[i]); - } - - class_call(input_read_parameters(&(pfzw->fc), - &pr, - &ba, - &th, - &pt, - &tr, - &pm, - &sp, - &nl, - &le, - &op, - errmsg), - errmsg, - errmsg); + /** Summary: */ - class_call(parser_read_int(&(pfzw->fc), - "input_verbose", - ¶m, - &flag, - errmsg), + /** Define local variables */ + int flag1, flag2; + char string1[_ARGUMENT_LENGTH_MAX_]; + double param1, param2; + double updated_nu_max; + + /** 1) Branching ratio approximation */ + /* Read */ + class_call(parser_read_string(pfc,"sd_branching_approx",&string1,&flag1,errmsg), errmsg, errmsg); + /* Complete set of parameters */ - if (flag == _TRUE_) - input_verbose = param; - else - input_verbose = 0; - - /** - Optimise flags for sigma8 calculation.*/ - for (i=0; i < unknown_parameters_size; i++) { - if (pfzw->target_name[i] == sigma8) { - compute_sigma8 = _TRUE_; + if (flag1 == _TRUE_){ + if ( (strstr(string1,"sharp_sharp") != NULL) || (strstr(string1,"sharp sharp") != NULL) ) { + psd->sd_branching_approx = bra_sharp_sharp; + psd->sd_PCA_size = 0; + } + else if ( (strstr(string1,"sharp_soft") != NULL) || (strstr(string1,"sharp soft") != NULL) ) { + psd->sd_branching_approx = bra_sharp_soft; + psd->sd_PCA_size = 0; + } + else if ( (strstr(string1,"soft_soft") != NULL) || (strstr(string1,"soft soft") != NULL) ) { + psd->sd_branching_approx = bra_soft_soft; + psd->sd_PCA_size = 0; + } + else if ( (strstr(string1,"soft_soft_cons") != NULL) || (strstr(string1,"soft soft cons") != NULL) ) { + psd->sd_branching_approx = bra_soft_soft_cons; + psd->sd_PCA_size = 0; + } + else if ( (strstr(string1,"exact") != NULL) ) { + psd->sd_branching_approx = bra_exact; + } + else{ + class_stop(errmsg,"You specified 'branching_approx' as '%s'. It has to be one of {'sharp_sharp','sharp_soft','soft_soft','soft_soft_cons','exact'}.",string1); } } - if (compute_sigma8 == _TRUE_) { - pt.k_max_for_pk=1.0; - pt.has_pk_matter=_TRUE_; - pt.has_perturbations = _TRUE_; - pt.has_cl_cmb_temperature = _FALSE_; - pt.has_cls = _FALSE_; - pt.has_cl_cmb_polarization = _FALSE_; - pt.has_cl_cmb_lensing_potential = _FALSE_; - pt.has_cl_number_count = _FALSE_; - pt.has_cl_lensing_potential=_FALSE_; - pt.has_density_transfers=_FALSE_; - pt.has_velocity_transfers=_FALSE_; - } + /* Only read these if 'bra_exact' has been set (could also be set from default) */ + if (psd->sd_branching_approx == bra_exact){ - /** - Do computations */ - if (pfzw->required_computation_stage >= cs_background){ - if (input_verbose>2) - printf("Stage 1: background\n"); - ba.background_verbose = 0; - class_call(background_init(&pr,&ba), ba.error_message, errmsg); - } + /** 1.a.1) Number of multipoles in PCA expansion */ + /* Read */ + class_read_int("sd_PCA_size",psd->sd_PCA_size); + /* Test */ + if (psd->sd_PCA_size < 0 || psd->sd_PCA_size > 6){ + psd->sd_PCA_size = 6; + } - if (pfzw->required_computation_stage >= cs_thermodynamics){ - if (input_verbose>2) - printf("Stage 2: thermodynamics\n"); - pr.recfast_Nz0 = 10000; - th.thermodynamics_verbose = 0; - class_call(thermodynamics_init(&pr,&ba,&th), th.error_message, errmsg); - } + /** 1.a.2) Detector name */ + /* Read */ + class_call(parser_read_string(pfc,"sd_detector_name",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + strcpy(psd->sd_detector_name,string1); + psd->has_user_defined_name = _TRUE_; + } - if (pfzw->required_computation_stage >= cs_perturbations){ - if (input_verbose>2) - printf("Stage 3: perturbations\n"); - pt.perturbations_verbose = 0; - class_call(perturb_init(&pr,&ba,&th,&pt), pt.error_message, errmsg); - } + /** 1.a.3) Detector specifics */ + /** 1.a.3.1) From file */ + /* Read */ + class_call(parser_read_string(pfc,"sd_detector_file",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + strcpy(psd->sd_detector_file_name,string1); + psd->has_detector_file = _TRUE_; + } - if (pfzw->required_computation_stage >= cs_primordial){ - if (input_verbose>2) - printf("Stage 4: primordial\n"); - pm.primordial_verbose = 0; - class_call(primordial_init(&pr,&pt,&pm), pm.error_message, errmsg); + /** 1.a.3.2) User defined */ + /* Read */ + class_call(parser_read_double(pfc,"sd_detector_nu_min",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + psd->sd_detector_nu_min = param1; + psd->has_user_defined_detector = _TRUE_; + } + /* Read */ + class_call(parser_read_double(pfc,"sd_detector_nu_max",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + psd->sd_detector_nu_max = param1; + psd->has_user_defined_detector = _TRUE_; + } + /* Read */ + class_call(parser_read_double(pfc,"sd_detector_nu_delta",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"sd_detector_bin_number",¶m2,&flag2,errmsg), + errmsg, + errmsg); + /* Test */ + class_test((flag1 == _TRUE_) && (flag2 == _TRUE_), + errmsg, + "You can only enter one of 'sd_detector_nu_delta' or 'sd_detector_bin_number'.", + psd->sd_detector_nu_delta,psd->sd_detector_bin_number); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + psd->sd_detector_nu_delta = param1; + psd->sd_detector_bin_number = ((int)ceil((psd->sd_detector_nu_max-psd->sd_detector_nu_min)/param1)); + psd->has_user_defined_detector = _TRUE_; + } + if (flag2 == _TRUE_){ + psd->sd_detector_nu_delta = (psd->sd_detector_nu_max-psd->sd_detector_nu_min)/param2; + psd->sd_detector_bin_number = param2; + psd->has_user_defined_detector = _TRUE_; + } + /* Update value of nu_max, given the number of bins */ + updated_nu_max = psd->sd_detector_nu_min+psd->sd_detector_nu_delta*psd->sd_detector_bin_number; + if (fabs(updated_nu_max-psd->sd_detector_nu_max) > ppr->tol_sd_detector){ + printf(" -> WARNING: The value of 'sd_detector_nu_max' has been updated to %7.3e to accommodate the binning of your detector.\n",updated_nu_max); + psd->sd_detector_nu_max = updated_nu_max; + } + /* Read */ + class_call(parser_read_double(pfc,"sd_detector_delta_Ic",¶m1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + psd->sd_detector_delta_Ic = 1.0e-26*param1; + psd->has_user_defined_detector = _TRUE_; + } } - if (pfzw->required_computation_stage >= cs_nonlinear){ - if (input_verbose>2) - printf("Stage 5: nonlinear\n"); - nl.nonlinear_verbose = 0; - class_call(nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl), nl.error_message, errmsg); - } + /* Final tests */ + class_test(psd->sd_branching_approx != bra_exact && psd->sd_PCA_size > 0, + errmsg, + "The PCA expansion is possible only for 'branching_approx = exact'"); + class_test(psd->has_detector_file && psd->has_user_defined_detector, + errmsg, + "You can only enter the noise file {'%s'} or the specifications {'%s','%s'/'%s','%s'}.", + "sd_detector_file","sd_detector_nu_min","sd_detector_nu_max", + "sd_detector_nu_delta","sd_detector_bin_number","sd_detector_delta_Ic"); - if (pfzw->required_computation_stage >= cs_transfer){ - if (input_verbose>2) - printf("Stage 6: transfer\n"); - tr.transfer_verbose = 0; - class_call(transfer_init(&pr,&ba,&th,&pt,&nl,&tr), tr.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_spectra){ - if (input_verbose>2) - printf("Stage 7: spectra\n"); - sp.spectra_verbose = 0; - class_call(spectra_init(&pr,&ba,&pt,&pm,&nl,&tr,&sp),sp.error_message, errmsg); - } + /** 2) Only calculate exotic energy injections and no LCDM processes for spectral distortions ? */ + class_read_flag("sd_only_exotic",psd->include_only_exotic); + /** 3) Include g distortions? */ + class_read_flag("sd_include_g_distortion",psd->include_g_distortion); - for (i=0; i < pfzw->target_size; i++) { - switch (pfzw->target_name[i]) { - case theta_s: - output[i] = 100.*th.rs_rec/th.ra_rec-pfzw->target_value[i]; - break; - case Omega_dcdmdr: - rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; - if (ba.has_dr == _TRUE_) - rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; - else - rho_dr_today = 0.; - output[i] = (rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)-pfzw->target_value[i]; - break; - case omega_dcdmdr: - rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; - if (ba.has_dr == _TRUE_) - rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; - else - rho_dr_today = 0.; - output[i] = (rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)-pfzw->target_value[i]/ba.h/ba.h; - break; - case Omega_scf: - /** - In case scalar field is used to fill, pba->Omega0_scf is not equal to pfzw->target_value[i].*/ - output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_scf]/(ba.H0*ba.H0) - -ba.Omega0_scf; - break; - case Omega_smg: - output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg]/pow(ba.H0,2) - -ba.Omega0_smg; - if (input_verbose > 2) - printf(" param[%i] = %e, Omega_smg = %.3e, %.3e, target = %.2e \n",ba.tuning_index_smg, ba.parameters_smg[ba.tuning_index_smg], - ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg] - /ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_crit], ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_smg] - /pow(ba.H0,2),output[i]); - break; - case M_pl_today_smg: - output[i] = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_M2_smg] - -ba.M_pl_today_smg; - printf("M_pl = %e, want %e, param=%e\n", - ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_M2_smg], - ba.M_pl_today_smg, - ba.parameters_smg[ba.tuning_index_2_smg] - ); - break; - case omega_ini_dcdm: - rho_dcdm_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dcdm]; - if (ba.has_dr == _TRUE_) - rho_dr_today = ba.background_table[(ba.bt_size-1)*ba.bg_size+ba.index_bg_rho_dr]; - else - rho_dr_today = 0.; - output[i] = -(rho_dcdm_today+rho_dr_today)/(ba.H0*ba.H0)+ba.Omega0_dcdmdr; - break; - case sigma8: - output[i] = sp.sigma8-pfzw->target_value[i]; - break; - } - } + + /** 4) Set g-distortions to zero? */ + class_call(parser_read_double(pfc,"sd_add_y",&psd->sd_add_y,&flag1,errmsg), + errmsg, + errmsg); + class_call(parser_read_double(pfc,"sd_add_mu",&psd->sd_add_mu,&flag1,errmsg), + errmsg, + errmsg); - /** - Free structures */ - if (pfzw->required_computation_stage >= cs_spectra){ - class_call(spectra_free(&sp), sp.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_transfer){ - class_call(transfer_free(&tr), tr.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_nonlinear){ - class_call(nonlinear_free(&nl), nl.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_primordial){ - class_call(primordial_free(&pm), pm.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_perturbations){ - class_call(perturb_free(&pt), pt.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_thermodynamics){ - class_call(thermodynamics_free(&th), th.error_message, errmsg); - } - if (pfzw->required_computation_stage >= cs_background){ - class_call(background_free(&ba), ba.error_message, errmsg); - } + /** 5) Include SZ effect from reionization? */ + class_read_flag("include_SZ_effect",psd->has_SZ_effect); - /** - Set filecontent to unread */ - for (i=0; ifc.size; i++) { - pfzw->fc.read[i] = _FALSE_; + if (psd->has_SZ_effect == _TRUE_){ + /** 5.a) Type of calculation */ + /* Read */ + class_call(parser_read_string(pfc,"sd_reio_type",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if (strcmp(string1,"Nozawa_2005") == 0){ + psd->sd_reio_type = sd_reio_Nozawa; + } + else if (strcmp(string1,"Chluba_2012") == 0){ + psd->sd_reio_type = sd_reio_Chluba; + } + else { + class_stop(errmsg, + "You specified 'sd_reio_type' as '%s'. It has to be one of {'Nozawa_2005','Chluba_2012'}.",string1); + } + } } return _SUCCESS_; + } -int input_get_guess(double *xguess, - double *dxdy, - struct fzerofun_workspace * pfzw, - ErrorMsg errmsg){ - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - int i; +/** + * Read obsolete/additional parameters that are not assigned to a specific structure + * + * @param pfc Input: pointer to local structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param errmsg Input: Error message + * @return the error status + */ - double Omega_M, a_decay, gamma, Omega0_dcdmdr=1.0; - int index_guess; +int input_read_parameters_additional(struct file_content* pfc, + struct precision* ppr, + struct background* pba, + struct thermodynamics* pth, + ErrorMsg errmsg){ - /* Cheat to read only known parameters: */ - pfzw->fc.size -= pfzw->target_size; - class_call(input_read_parameters(&(pfzw->fc), - &pr, - &ba, - &th, - &pt, - &tr, - &pm, - &sp, - &nl, - &le, - &op, - errmsg), + /** Summary: */ + + /** Define local variables */ + int flag1; + double param1; + char string1[_ARGUMENT_LENGTH_MAX_]; + + /** + * Here we can place all obsolete (deprecated) names for the precision parameters + * that will still be read as of the current version. + * There is however, no guarantee that this will be true for future versions as well. + * The new parameter names should be used preferrably. + * */ + class_read_double("k_scalar_min_tau0",ppr->k_min_tau0); + class_read_double("k_scalar_max_tau0_over_l_max",ppr->k_max_tau0_over_l_max); + class_read_double("k_scalar_step_sub",ppr->k_step_sub); + class_read_double("k_scalar_step_super",ppr->k_step_super); + class_read_double("k_scalar_step_transition",ppr->k_step_transition); + class_read_double("k_scalar_k_per_decade_for_pk",ppr->k_per_decade_for_pk); + class_read_double("k_scalar_k_per_decade_for_bao",ppr->k_per_decade_for_bao); + class_read_double("k_scalar_bao_center",ppr->k_bao_center); + class_read_double("k_scalar_bao_width",ppr->k_bao_width); + + class_read_double("k_step_trans_scalars",ppr->q_linstep); + class_read_double("k_step_trans_tensors",ppr->q_linstep); + class_read_double("k_step_trans",ppr->q_linstep); + class_read_double("q_linstep_trans",ppr->q_linstep); + class_read_double("q_logstep_trans",ppr->q_logstep_spline); + + /** Here are slgihtly more obsolete parameters, these will not even be read, only give an error message */ + class_call(parser_read_double(pfc,"bias",¶m1,&flag1,errmsg), errmsg, errmsg); - pfzw->fc.size += pfzw->target_size; - /** Summary: */ - /** - Here we should write reasonable guesses for the unknown parameters. - Also estimate dxdy, i.e. how the unknown parameter responds to the known. - This can simply be estimated as the derivative of the guess formula.*/ + class_test(flag1 == _TRUE_, + errmsg, + "the input parameter 'bias' is obsolete, because you can now pass an independent light-to-mass bias for each bin/selection function. The new input name is 'selection_bias'. It can be set to a single number (common bias for all bins) or as many numbers as the number of bins"); - for (index_guess=0; index_guess < pfzw->target_size; index_guess++) { - switch (pfzw->target_name[index_guess]) { - case theta_s: - xguess[index_guess] = 3.54*pow(pfzw->target_value[index_guess],2)-5.455*pfzw->target_value[index_guess]+2.548; - dxdy[index_guess] = (7.08*pfzw->target_value[index_guess]-5.455); - /** - Update pb to reflect guess */ - ba.h = xguess[index_guess]; - ba.H0 = ba.h * 1.e5 / _c_; - break; - case Omega_dcdmdr: - Omega_M = ba.Omega0_cdm+ba.Omega0_dcdmdr+ba.Omega0_b; - /* This formula is exact in a Matter + Lambda Universe, but only - for Omega_dcdm, not the combined. - sqrt_one_minus_M = sqrt(1.0 - Omega_M); - xguess[index_guess] = pfzw->target_value[index_guess]* - exp(2./3.*ba.Gamma_dcdm/ba.H0* - atanh(sqrt_one_minus_M)/sqrt_one_minus_M); - dxdy[index_guess] = 1.0;//exp(2./3.*ba.Gamma_dcdm/ba.H0*atanh(sqrt_one_minus_M)/sqrt_one_minus_M); - */ - gamma = ba.Gamma_dcdm/ba.H0; - if (gamma < 1) - a_decay = 1.0; - else - a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); - xguess[index_guess] = pfzw->target_value[index_guess]/a_decay; - dxdy[index_guess] = 1./a_decay; - //printf("x = Omega_ini_guess = %g, dxdy = %g\n",*xguess,*dxdy); - break; - case omega_dcdmdr: - Omega_M = ba.Omega0_cdm+ba.Omega0_dcdmdr+ba.Omega0_b; - /* This formula is exact in a Matter + Lambda Universe, but only - for Omega_dcdm, not the combined. - sqrt_one_minus_M = sqrt(1.0 - Omega_M); - xguess[index_guess] = pfzw->target_value[index_guess]* - exp(2./3.*ba.Gamma_dcdm/ba.H0* - atanh(sqrt_one_minus_M)/sqrt_one_minus_M); - dxdy[index_guess] = 1.0;//exp(2./3.*ba.Gamma_dcdm/ba.H0*atanh(sqrt_one_minus_M)/sqrt_one_minus_M); - */ - gamma = ba.Gamma_dcdm/ba.H0; - if (gamma < 1) - a_decay = 1.0; - else - a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); - xguess[index_guess] = pfzw->target_value[index_guess]/ba.h/ba.h/a_decay; - dxdy[index_guess] = 1./a_decay/ba.h/ba.h; - //printf("x = Omega_ini_guess = %g, dxdy = %g\n",*xguess,*dxdy); - break; - case Omega_scf: + class_call(parser_read_double(pfc,"s_bias",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_test(flag1 == _TRUE_, + errmsg, + "the input parameter 's_bias' is obsolete, because you can now pass an independent magnitude bias for each bin/selection function. The new input name is 'selection_magnitude_bias'. It can be set to a single number (common magnitude bias for all bins) or as many numbers as the number of bins"); - /** - This guess is arbitrary, something nice using WKB should be implemented. - * - * - Version 2: use a fit: `xguess[index_guess] = 1.77835*pow(ba.Omega0_scf,-2./7.); - * dxdy[index_guess] = -0.5081*pow(ba.Omega0_scf,-9./7.)`; - * - * - Version 3: use attractor solution */ + class_call(parser_read_string(pfc,"l_switch_limber_for_cl_density_over_z",&string1,&flag1,errmsg), + errmsg, + errmsg); + class_test(flag1 == _TRUE_, + errmsg, + "You passed in input a precision parameter called l_switch_limber_for_cl_density_over_z. This syntax is deprecated since v2.5.0. Please use instead the two precision parameters l_switch_limber_for_nc_local_over_z, l_switch_limber_for_nc_los_over_z, defined in include/common.h, and allowing for better performance."); - if (ba.scf_tuning_index == 0){ - xguess[index_guess] = sqrt(3.0/ba.Omega0_scf); - dxdy[index_guess] = -0.5*sqrt(3.0)*pow(ba.Omega0_scf,-1.5); - } - else{ - /* Default: take the passed value as xguess and set dxdy to 1. */ - xguess[index_guess] = ba.scf_parameters[ba.scf_tuning_index]; - dxdy[index_guess] = 1.; - } - break; - case Omega_smg: - xguess[index_guess] = ba.parameters_smg[ba.tuning_index_smg]; - dxdy[index_guess] = ba.tuning_dxdy_guess_smg; - break; - //TODO CONTINUE HERE - case M_pl_today_smg: - xguess[index_guess] = ba.parameters_smg[ba.tuning_index_2_smg]; - dxdy[index_guess] = 1; - break; - case omega_ini_dcdm: - Omega0_dcdmdr = 1./(ba.h*ba.h); - case Omega_ini_dcdm: - /** - This works since correspondence is - Omega_ini_dcdm -> Omega_dcdmdr and - omega_ini_dcdm -> omega_dcdmdr */ - Omega0_dcdmdr *=pfzw->target_value[index_guess]; - Omega_M = ba.Omega0_cdm+Omega0_dcdmdr+ba.Omega0_b; - gamma = ba.Gamma_dcdm/ba.H0; - if (gamma < 1) - a_decay = 1.0; - else - a_decay = pow(1+(gamma*gamma-1.)/Omega_M,-1./3.); - xguess[index_guess] = pfzw->target_value[index_guess]*a_decay; - dxdy[index_guess] = a_decay; - if (gamma > 100) - dxdy[index_guess] *= gamma/100; + /* + class_call(parser_read_double(pfc,"annihilation",¶m1,&flag1,errmsg), + errmsg, + errmsg); + class_test(flag1 == _TRUE_, + errmsg, + "the input parameter 'annihilation' (that is, f_eff / m_DM in units m^3/s/Kg) is obsolete and replaced by 'DM_annihilation_efficiency' (that is, / m_DM in units m^3/s/J). If 'f_eff_type' is set to 'on_the_spot', f_eff is assumed to be one and the old/new parameters only differ by a factor c^2 in m2/s2 = 9.e16. For instance, annihilation=1.e-6 is the same as DM_annihilation_efficiency=9.e-22". + */ - //printf("x = Omega_ini_guess = %g, dxdy = %g\n",*xguess,*dxdy); - break; - case sigma8: - /* Assume linear relationship between A_s and sigma8 and fix coefficient - according to vanilla LambdaCDM. Should be good enough... */ - xguess[index_guess] = 2.43e-9/0.87659*pfzw->target_value[index_guess]; - dxdy[index_guess] = 2.43e-9/0.87659; - break; - } - //printf("xguess = %g\n",xguess[index_guess]); + /** Test additional input parameters related to precision parameters */ + if ((ppr->tight_coupling_approximation == (int)first_order_CLASS) || (ppr->tight_coupling_approximation == (int)second_order_CLASS)) { + pth->compute_cb2_derivatives = _TRUE_; } - for (i=0; ifc.size; i++) { - pfzw->fc.read[i] = _FALSE_; + class_test(ppr->ur_fluid_trigger_tau_over_tau_k==ppr->radiation_streaming_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters ur_fluid_trigger_tau_over_tau_k and radiation_streaming_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + + if (pba->N_ncdm>0) { + class_test(ppr->ncdm_fluid_trigger_tau_over_tau_k==ppr->radiation_streaming_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters ncdm_fluid_trigger_tau_over_tau_k and radiation_streaming_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + + class_test(ppr->ncdm_fluid_trigger_tau_over_tau_k==ppr->ur_fluid_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters ncdm_fluid_trigger_tau_over_tau_k and ur_fluid_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); } - /** - Deallocate everything allocated by input_read_parameters */ - background_free_input(&ba); + if (pba->Omega0_idr != 0.){ + class_test(ppr->idr_streaming_trigger_tau_over_tau_k==ppr->radiation_streaming_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters dark_radiation_trigger_tau_over_tau_k and radiation_streaming_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + + class_test(ppr->idr_streaming_trigger_tau_over_tau_k==ppr->ur_fluid_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters dark_radiation_trigger_tau_over_tau_k and ur_fluid_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + + class_test(ppr->idr_streaming_trigger_tau_over_tau_k==ppr->ncdm_fluid_trigger_tau_over_tau_k, + errmsg, + "please choose different values for precision parameters dark_radiation_trigger_tau_over_tau_k and ncdm_fluid_trigger_tau_over_tau_k, in order to avoid switching two approximation schemes at the same time"); + } return _SUCCESS_; + } -int input_find_root(double *xzero, - int *fevals, - struct fzerofun_workspace *pfzw, - ErrorMsg errmsg){ - double x1, x2, f1, f2, dxdy, dx, dxdytrue, dxdyold; - int iter, iter2; - int return_function; + +/** + * Read the parameters of output structure. + * + * @param pfc Input: pointer to local structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbations structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to non-linear structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @param errmsg Input: Error message + * @return the error status + */ + +int input_read_parameters_output(struct file_content * pfc, + struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop, + ErrorMsg errmsg){ + /** Summary: */ - /** - Fisrt we do our guess */ - class_call(input_get_guess(&x1, &dxdy, pfzw, errmsg), - errmsg, errmsg); + /** Define local variables */ + int flag1; + char string1[_ARGUMENT_LENGTH_MAX_]; + int int1; + double * pointer1; + int i; - // printf("x1= %g\n",x1); - class_call(input_fzerofun_1d(x1, - pfzw, - &f1, - errmsg), - errmsg, errmsg); - (*fevals)++; - //printf("x1= %g, f1= %g\n",x1,f1); + /** 1) Output for external files */ + /** 1.a) File name */ + /* Read */ + class_call(parser_read_string(pfc,"root",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + class_test(strlen(string1)>_FILENAMESIZE_-32,errmsg,"Root directory name is too long. Please install in other directory, or increase _FILENAMESIZE_ in common.h"); + strcpy(pop->root,string1); + } - /** - Do linear hunt for boundaries */ - dxdytrue=dxdy; - for (iter=1; iter<=31; iter++){ + /** 1.b) Headers */ + /* Read */ + class_read_flag("headers",pop->write_header); - //Set the search step size according to guessed dxdy on first pass - //then update with a real one on second pass and keep that until the end. + /** 1.c) Format */ + /* Read */ + class_call(parser_read_string(pfc,"format",&string1,&flag1,errmsg), + errmsg, + errmsg); + /* Complete set of parameters */ + if (flag1 == _TRUE_){ + if ((strstr(string1,"class") != NULL) || (strstr(string1,"CLASS") != NULL)){ + pop->output_format = class_format; + } + else if ((strstr(string1,"camb") != NULL) || (strstr(string1,"CAMB") != NULL)){ + pop->output_format = camb_format; + } + else{ + class_stop(errmsg,"You specified 'format' as '%s'. It has to be one of {'class','camb'}.",string1); + } + } - dx = 1.5*f1*dxdy; + /** 1.d) Background quantities */ + /* Read */ + class_read_flag_or_deprecated("write_background","write background",pop->write_background); - //BUG: problem if the guess is very good (f1~0) => no variation and no bracketing - // if f1write_thermodynamics); - // printf("f1 = %.3e, dxdy = %.3e, dx = %.3e \n",f1,dxdy,dx); + /** 1.f) Table of perturbations for certain wavenumbers k */ + /* Read */ + class_call(parser_read_list_of_doubles(pfc,"k_output_values",&int1,&pointer1,&flag1,errmsg), + errmsg, + errmsg); + if (flag1 == _TRUE_) { + /* Test */ + class_test(int1 > _MAX_NUMBER_OF_K_FILES_, + errmsg, + "you want to write some output for %d different values of k, hence you should increase _MAX_NUMBER_OF_K_FILES_ in include/perturbations.h to at least this number", + int1); + /* Complete set of parameters */ + ppt->k_output_values_num = int1; + for (i=0; ik_output_values[i] = pointer1[i]; + } + free(pointer1); + qsort (ppt->k_output_values, ppt->k_output_values_num, sizeof(double), compare_doubles); // Sort the k_array using qsort + ppt->store_perturbations = _TRUE_; + pop->write_perturbations = _TRUE_; + } + /** 1.g) Primordial spectra */ + /* Read */ + class_read_flag_or_deprecated("write_primordial","write primordial",pop->write_primordial); + + /** 1.h) Exotic energy injection output */ + /* Read */ + class_read_flag_or_deprecated("write_exotic_injection","write exotic injection",pop->write_exotic_injection); + + /** 1.i) Non-injected photon injection */ + /* Read */ + class_read_flag_or_deprecated("write_noninjection","write noninjection",pop->write_noninjection); + + /** 1.k) Spectral Distortions */ + /* Read */ + class_read_flag_or_deprecated("write_distortions","write distortions",pop->write_distortions); + + /** 2) Verbosity */ + /* Read */ + class_read_int("background_verbose",pba->background_verbose); + class_read_int("thermodynamics_verbose",pth->thermodynamics_verbose); + class_read_int("hyrec_verbose",pth->hyrec_verbose); + class_read_int("perturbations_verbose",ppt->perturbations_verbose); + class_read_int("transfer_verbose",ptr->transfer_verbose); + class_read_int("primordial_verbose",ppm->primordial_verbose); + class_read_int("harmonic_verbose",phr->harmonic_verbose); + class_read_int("fourier_verbose",pfo->fourier_verbose); + class_read_int("lensing_verbose",ple->lensing_verbose); + class_read_int("distortions_verbose",psd->distortions_verbose); + class_read_int("output_verbose",pop->output_verbose); - //x2 = x1 + search_dir*dx; + return _SUCCESS_; - x2 = x1 - dx; +} - for (iter2=1; iter2 <= 3; iter2++) { - return_function = input_fzerofun_1d(x2,pfzw,&f2,errmsg); - (*fevals)++; - //printf("x2= %g, f2= %g\n",x2,f2); - //fprintf(stderr,"iter2=%d\n",iter2); +/** + * Write the info related to the used and unused parameters + * Additionally, write the warnings for unused parameters + * + * @param pfc Input: pointer to local structure + * @param pop Input: pointer to output structure + * @param errmsg Input: Error message + * @return the error status + */ - if (return_function ==_SUCCESS_) { - break; - } - else if (iter2 < 3) { - dx*=0.5; - x2 = x1-dx; - } - else { - //fprintf(stderr,"get here\n"); - class_stop(errmsg,errmsg); - } - } +int input_write_info(struct file_content * pfc, + struct output * pop, + ErrorMsg errmsg){ - if (f1*f2<0.0){ - /** - root has been bracketed */ - if (1==1){ - printf("Root has been bracketed after %d iterations: [%g, %g].\n",iter,x1,x2); - } - break; + /** Summary: */ + + /** Define local variables */ + int i; + int flag1, flag2; + FILE * param_output; + FILE * param_unused; + char param_output_name[_LINE_LENGTH_MAX_]; + char param_unused_name[_LINE_LENGTH_MAX_]; + + /* We want to read both flags at once, such that the pfc->read is set correctly */ + flag1 = _FALSE_; + flag2 = _FALSE_; + class_read_flag_or_deprecated("write_parameters","write parameters",flag1); + class_read_flag_or_deprecated("write_warnings","write warnings",flag2); + + /* Now that all variables are read, we can print the warnings */ + if (flag2 == _TRUE_){ + for (i=0; isize; i++) { + if (pfc->read[i] == _FALSE_) + fprintf(stdout,"[WARNING: input line not used: '%s=%s']\n",pfc->name[i],pfc->value[i]); } + } + + /* Finally, since all variables are read, we can also print the parameters.ini and unused_parameters files */ + if (flag1 == _TRUE_) { + class_sprintf(param_output_name,"%s%s",pop->root,"parameters.ini"); + class_open(param_output,param_output_name,"w",errmsg); + fprintf(param_output,"# List of input/precision parameters actually read\n"); + fprintf(param_output,"# (all other parameters set to default values)\n"); + fprintf(param_output,"# Obtained with CLASS %s (for developers: svn version %s)\n",_VERSION_,_SVN_VERSION_); + fprintf(param_output,"#\n"); + fprintf(param_output,"# This file can be used as the input file of another run\n"); + fprintf(param_output,"#\n"); - dxdytrue=(x2-x1)/(f2-f1); - dxdyold=dxdy; + class_sprintf(param_unused_name,"%s%s",pop->root,"unused_parameters"); + class_open(param_unused,param_unused_name,"w",errmsg); + fprintf(param_unused,"# List of input/precision parameters passed\n"); + fprintf(param_unused,"# but not used (just for info)\n"); + fprintf(param_unused,"#\n"); - if(iter==1){ //replace dxdy_guess with real estimate after one iteration - dxdy = dxdytrue; + for (i=0; isize; i++) { + if (pfc->read[i] == _TRUE_){ + fprintf(param_output,"%s = %s\n",pfc->name[i],pfc->value[i]); } else{ - dxdy=copysign(dxdy,dxdytrue);//Otherwise keep dxdy magnitude fixed, but flip sign according to real + fprintf(param_unused,"%s = %s\n",pfc->name[i],pfc->value[i]); } - - if(dxdyold*dxdy<0.&&iter!=1){//If dxdy changes sign after first iter, might have missed root, halve the step size and continue - dxdy/=2.; } - //printf("dxdy true=%g, old=%g, new=%g.\n",dxdytrue, dxdyold, dxdy); - x1 = x2; - f1 = f2; - } - - /** - Find root using Ridders method. (Exchange for bisection if you are old-school.)*/ - class_call(class_fzero_ridder(input_fzerofun_1d, - x1, - x2, - 1e-5*MAX(fabs(x1),fabs(x2)), - pfzw, - &f1, - &f2, - xzero, - fevals, - errmsg), - errmsg,errmsg); - return _SUCCESS_; -} + fprintf(param_output,"#\n"); -int file_exists(const char *fname){ - FILE *file = fopen(fname, "r"); - if (file != NULL){ - fclose(file); - return _TRUE_; + fclose(param_output); + fclose(param_unused); } - return _FALSE_; -} -int input_auxillary_target_conditions(struct file_content * pfc, - enum target_names target_name, - double target_value, - int * aux_flag, - ErrorMsg errmsg){ - *aux_flag = _TRUE_; - /* - double param1; - int int1, flag1; - int input_verbose = 0; - class_read_int("input_verbose",input_verbose); - */ - switch (target_name){ - case Omega_dcdmdr: - case omega_dcdmdr: - case Omega_scf: - case Omega_smg: - case M_pl_today_smg: - case Omega_ini_dcdm: - case omega_ini_dcdm: - /* Check that Omega's or omega's are nonzero: */ - if (target_value == 0.) - *aux_flag = _FALSE_; - break; - default: - /* Default is no additional checks */ - *aux_flag = _TRUE_; - break; - } return _SUCCESS_; -} - -int compare_integers (const void * elem1, const void * elem2) { - int f = *((int*)elem1); - int s = *((int*)elem2); - if (f > s) return 1; - if (f < s) return -1; - return 0; -} -int compare_doubles(const void *a,const void *b) { - double *x = (double *) a; - double *y = (double *) b; - if (*x < *y) - return -1; - else if - (*x > *y) return 1; - return 0; } - /** - * Perform preliminary steps fur using the method called Pk_equal, - * described in 0810.0190 and 1601.07230, extending the range of - * validity of HALOFIT from constant w to (w0,wa) models. In that - * case, one must compute here some effective values of w0_eff(z_i) - * and Omega_m_eff(z_i), that will be interpolated later at arbitrary - * redshift in the non-linear module. - * - * Returns table of values [z_i, tau_i, w0_eff_i, Omega_m_eff_i] - * stored in nonlinear structure. + * All default parameter values (for input parameters) * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermodynamics structure - * @param pnl Input/Output: pointer to nonlinear structure - * @param input_verbose Input: verbosity of this input module - * @param errmsg Input/Ouput: error message + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param ppm Input: pointer to primordial structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure + * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distorsion structure + * @param pop Input: pointer to output structure + * @return the error status + * @return the error status */ -int input_prepare_pk_eq( - struct precision * ppr, - struct background *pba, - struct thermo *pth, - struct nonlinear *pnl, - int input_verbose, - ErrorMsg errmsg - ) { +int input_default_params(struct background *pba, + struct thermodynamics *pth, + struct perturbations *ppt, + struct transfer *ptr, + struct primordial *ppm, + struct harmonic *phr, + struct fourier * pfo, + struct lensing *ple, + struct distortions *psd, + struct output *pop) { + + /** Summary: */ + + /** - Define local variables */ + struct injection* pin = &(pth->in); + double sigma_B; /* Stefan-Boltzmann constant in \f$ W/m^2/K^4 = Kg/K^4/s^3 \f$*/ + + sigma_B = 2. * pow(_PI_,5) * pow(_k_B_,4) / 15. / pow(_h_P_,3) / pow(_c_,2); + + /* 24.02.2021: default parameters. + If you want to use exactly the Planck 2018 bestfit model, you can always use one of our + suggested input files, e.g., base_2018_plikHM_TTTEEE_lowl_lowE_lensing.ini. + The default values implemented here are an approximation to this LambdaCDM model + with the same values for + omega_b=0.02238280, + omega_c=0.1201075, + theta_s=1.041783 (this is not theta_MC nor theta*), + tau_reio=0.05430842, + As=2.100549e-09, + ns=0.9660499, + but a few differences: + only massless neutrinos, + N_eff=3.044 instead of 3.046 (3.044 is a more accurate and updated estimate of the + effective neutrino number in LCDM), + non-linear corrections neglected */ + + /** + * Default to input_read_parameters_general + */ + + /** 1) Output spectra */ + ppt->has_cl_cmb_temperature = _FALSE_; + ppt->has_cl_cmb_polarization = _FALSE_; + ppt->has_cl_cmb_lensing_potential = _FALSE_; + ppt->has_cl_number_count = _FALSE_; + ppt->has_cl_lensing_potential = _FALSE_; + ppt->has_pk_matter = _FALSE_; + ppt->has_density_transfers = _FALSE_; + ppt->has_velocity_transfers = _FALSE_; + /** 1.a) 'tCl' case */ + ppt->switch_sw = 1; + ppt->switch_eisw = 1; + ppt->switch_lisw = 1; + ppt->switch_dop = 1; + ppt->switch_pol = 1; + /** 1.a.1) Split value of redshift z at which the isw is considered as late or early */ + ppt->eisw_lisw_split_z = 120; + /** 1.b) 'nCl' (or 'dCl') case */ + ppt->has_nc_density = _FALSE_; + ppt->has_nc_rsd = _FALSE_; + ppt->has_nc_lens = _FALSE_; + ppt->has_nc_gr = _FALSE_; + /** 1.c) 'dTk' (or 'mTk') case */ + ppt->has_metricpotential_transfers = _FALSE_; - /** Summary: */ + /** 2) Perturbed recombination */ + ppt->has_perturbed_recombination=_FALSE_; + /** 3) Modes */ + ppt->has_scalars=_TRUE_; + ppt->has_vectors=_FALSE_; + ppt->has_tensors=_FALSE_; + /** 3.a) Initial conditions for scalars */ + ppt->has_ad=_TRUE_; + ppt->has_bi=_FALSE_; + ppt->has_cdi=_FALSE_; + ppt->has_nid=_FALSE_; + ppt->has_niv=_FALSE_; + /** 3.b) Initial conditions for tensors */ + ppt->tensor_method = tm_massless_approximation; + ppt->evolve_tensor_ur = _FALSE_; + ppt->evolve_tensor_ncdm = _FALSE_; - /** - define local variables */ + /** 4.a) Gauge */ + ppt->gauge=synchronous; + /** 4.b) N-body gauge */ + ppt->has_Nbody_gauge_transfers = _FALSE_; - double tau_of_z; - double delta_tau; - double error; - double delta_tau_eq; - double * pvecback; - int last_index=0; - int index_pk_eq_z; - int index_eq; - int true_background_verbose; - int true_thermodynamics_verbose; - double true_w0_fld; - double true_wa_fld; - double * z; + /** 5) Hubble parameter */ + pba->h = 0.67810; + pba->H0 = pba->h*1.e5/_c_; - /** - store the true cosmological parameters (w0, wa) somwhere before using temporarily some fake ones in this function */ + /** 6) Primordial Helium fraction */ + pth->YHe = _YHE_BBN_; - true_background_verbose = pba->background_verbose; - true_thermodynamics_verbose = pth->thermodynamics_verbose; - true_w0_fld = pba->w0_fld; - true_wa_fld = pba->wa_fld; + /** 7) Recombination algorithm */ + pth->recombination=hyrec; + pth->recfast_photoion_mode=recfast_photoion_Tmat; - /** - the fake calls of the background and thermodynamics module will be done in non-verbose mode */ + /** 8) Parametrization of reionization */ + pth->reio_parametrization=reio_camb; + /** 8.a) 'reio_camb' or 'reio_half_tanh' case */ + pth->reio_z_or_tau=reio_z; + pth->z_reio=7.6711; + pth->tau_reio=0.05430842; + pth->reionization_exponent=1.5; + pth->reionization_width=0.5; + pth->helium_fullreio_redshift=3.5; + pth->helium_fullreio_width=0.5; - pba->background_verbose = 0; - pth->thermodynamics_verbose = 0; + /** 8.b) 'reio_bins_tanh' case */ + pth->binned_reio_num=0; + pth->binned_reio_z=NULL; + pth->binned_reio_xe=NULL; + pth->binned_reio_step_sharpness = 0.3; + /** 8.c) 'reio_many_tanh' case */ + pth->many_tanh_num=0; + pth->many_tanh_z=NULL; + pth->many_tanh_xe=NULL; + pth->many_tanh_width = 0.5; + /** 8.d) 'reio_inter' case */ + pth->reio_inter_num = 0; + pth->reio_inter_z = NULL; + pth->reio_inter_xe = NULL; + + /** 9) Damping scale */ + pth->compute_damping_scale = _FALSE_; - /** - allocate indices and arrays for storing the results */ + /** 10) Varying fundamental constants */ + pba->varconst_dep = varconst_none; + pba->varconst_alpha = 1.; + pba->varconst_me = 1.; + pth->bbn_alpha_sensitivity = 1.; + pba->varconst_transition_redshift = 50.; - pnl->pk_eq_tau_size = 10; - class_alloc(pnl->pk_eq_tau,pnl->pk_eq_tau_size*sizeof(double),errmsg); - class_alloc(z,pnl->pk_eq_tau_size*sizeof(double),errmsg); + /** + * Default to input_read_parameters_species + */ - index_eq = 0; - class_define_index(pnl->index_pk_eq_w,_TRUE_,index_eq,1); - class_define_index(pnl->index_pk_eq_Omega_m,_TRUE_,index_eq,1); - pnl->pk_eq_size = index_eq; - class_alloc(pnl->pk_eq_w_and_Omega,pnl->pk_eq_tau_size*pnl->pk_eq_size*sizeof(double),errmsg); - class_alloc(pnl->pk_eq_ddw_and_ddOmega,pnl->pk_eq_tau_size*pnl->pk_eq_size*sizeof(double),errmsg); + /** 1) Photon density */ + pba->T_cmb = 2.7255; + pba->Omega0_g = (4.*sigma_B/_c_*pow(pba->T_cmb,4.)) / (3.*_c_*_c_*1.e10*pba->h*pba->h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); - /** - call the background module in order to fill a table of tau_i[z_i] */ + /** 2) Baryon density */ + pba->Omega0_b = 0.02238280/pow(pba->h,2); - class_call(background_init(ppr,pba), pba->error_message, errmsg); - for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { - z[index_pk_eq_z] = exp(log(1.+ppr->pk_eq_z_max)/(pnl->pk_eq_tau_size-1)*index_pk_eq_z)-1.; - class_call(background_tau_of_z(pba,z[index_pk_eq_z],&tau_of_z), - pba->error_message, errmsg); - pnl->pk_eq_tau[index_pk_eq_z] = tau_of_z; - } - class_call(background_free_noinput(pba), pba->error_message, errmsg); + /** 3) Ultra-relativistic species / massless neutrino density, + assuming as default value N_eff=3.044 (see 2008.01074 and + 2012.02726. This value is more accurate than the previous + default value of 3.046) */ + pba->Omega0_ur = 3.044*7./8.*pow(4./11.,4./3.)*pba->Omega0_g; - /** - loop over z_i values. For each of them, we will call the - background and thermodynamics module for fake models. The goal is - to find, for each z_i, and effective w0_eff[z_i] and - Omega_m_eff{z_i], such that: the true model with (w0,wa) and the - equivalent model with (w0_eff[z_i],0) have the same conformal - distance between z_i and z_recombination, namely chi = tau[z_i] - - tau_rec. It is thus necessary to call both the background and - thermodynamics module for each fake model and to re-compute - tau_rec for each of them. Once the eqauivalent model is found we - compute and store Omega_m_effa(z_i) of the equivalent model */ + /** 3.a) Effective squared sound speed and viscosity parameter */ + ppt->three_ceff2_ur=1.; + ppt->three_cvis2_ur=1.; - for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { + /** 4) CDM density */ + pba->Omega0_cdm = 0.1201075/pow(pba->h,2); - if (input_verbose > 2) - printf(" * computing Pk_equal parameters at z=%e\n",z[index_pk_eq_z]); + /** 5) ncdm sector */ + /** 5.a) Number of distinct species */ + pba->N_ncdm = 0; + /** 5.b) List of names of psd files */ + pba->ncdm_psd_files = NULL; + /** 5.c) Analytic distribution function */ + pba->ncdm_psd_parameters = NULL; + pba->Omega0_ncdm_tot = 0.; + /** 5.d) --> See read_parameters_background */ + /** 5.e) ncdm temperature */ + pba->T_ncdm_default = 0.71611; /* this value gives m/omega = 93.14 eV b*/ + pba->T_ncdm = NULL; + /** 5.f) ncdm chemical potential */ + pba->ksi_ncdm_default = 0.; + pba->ksi_ncdm = NULL; + /** 5.g) ncdm degeneracy parameter */ + pba->deg_ncdm_default = 1.; + pba->deg_ncdm = NULL; + /** 5.h) --> See read_parameters_background */ - /* get chi = (tau[z_i] - tau_rec) in true model */ + /** 6) Curvature density */ + pba->Omega0_k = 0.; + pba->K = 0.; + pba->sgnK = 0; - pba->w0_fld = true_w0_fld; - pba->wa_fld = true_wa_fld; + /* ** ADDITIONAL SPECIES ** */ - class_call(background_init(ppr,pba), pba->error_message, errmsg); - class_call(thermodynamics_init(ppr,pba,pth), pth->error_message, errmsg); + /** 7.1) Decaying CDM into Dark Radiation = dcdm+dr */ + /** 7.1.a) Current fractional density of dcdm+dr */ + pba->Omega0_dcdmdr = 0.0; + pba->Omega0_dcdm = 0.0; + /** 7.1.b) Initial fractional density of dcdm+dr */ + pba->Omega_ini_dcdm = 0.; + /** 7.1.c) Decay constant */ + pba->Gamma_dcdm = 0.0; + pba->tau_dcdm = 0.0; + + /** 7.2) Interacting Dark Matter */ + /** 7.2.1.a) Current factional density of idm */ + pba->Omega0_idm = 0; + /** 7.2.1.a) Mass of idm in eV*/ + pth->m_idm = 1.e9; + /** 7.2.2) Current fractional density of idr */ + pba->Omega0_idr = 0.0; + pba->T_idr = 0.0; + /** 7.2.2.c) Coupling idm_dr*/ + pth->a_idm_dr = 0.; + /** 7.2.2.d) temperature scaling idm_dr */ + pth->n_index_idm_dr = 0; + /** 7.2.2.e) Approximation mode of idr */ + ppt->idr_nature=idr_free_streaming; + /** 7.2.2.f) idr self-interactions*/ + pth->b_idr = 0.; + /** 7.2.2.g, 7.2.2.h) angular coefficients */ + ppt->alpha_idm_dr = NULL; + ppt->beta_idr = NULL; + /** 7.2.3.a) idm_b coupling */ + pth->cross_idm_b = 0.; + /** 7.2.3.b) temperature scaling idm_b */ + pth->n_index_idm_b = 0.; + pth->n_coeff_idm_b = 0.; + /** 7.2.4.a) idm_g coupling */ + pth->cross_idm_g = 0.; + pth->u_idm_g = 0.; + /** 7.2.4.b) temperature scaling idm_g */ + pth->n_index_idm_g = 0; + ppt->has_idm_soundspeed = _FALSE_; + + /* ** ADDITIONAL SPECIES ** */ + + /** 9) Dark energy contributions */ + pba->Omega0_fld = 0.; + pba->Omega0_scf = 0.; + pba->Omega0_lambda = 1.-pba->Omega0_k-pba->Omega0_g-pba->Omega0_ur-pba->Omega0_b-pba->Omega0_cdm-pba->Omega0_ncdm_tot-pba->Omega0_dcdmdr - pba->Omega0_idr -pba->Omega0_idm; + /** 8.a) Omega fluid */ + /** 8.a.1) PPF approximation */ + pba->use_ppf = _TRUE_; + pba->c_gamma_over_c_fld = 0.4; + /** 9.a.2) Equation of state */ + pba->fluid_equation_of_state = CLP; + pba->w0_fld = -1.; + pba->cs2_fld = 1.; + /** 9.a.2.1) 'CLP' case */ + pba->wa_fld = 0.; + /** 9.a.2.2) 'EDE' case */ + pba->Omega_EDE = 0.; + /** 9.b) Omega scalar field */ + /** 9.b.1) Potential parameters and initial conditions */ + pba->scf_parameters = NULL; + pba->scf_parameters_size = 0; + /** 9.b.2) Initial conditions from attractor solution */ + pba->attractor_ic_scf = _TRUE_; + pba->phi_ini_scf = 1; // MZ: initial conditions are as multiplicative + pba->phi_prime_ini_scf = 1; // factors of the radiation attractor values + /** 9.b.3) Tuning parameter */ + pba->scf_tuning_index = 0; + /** 9.b.4) Shooting parameter */ + pba->shooting_failed = _FALSE_; - delta_tau = pnl->pk_eq_tau[index_pk_eq_z] - pth->tau_rec; + /** + * Deafult to input_read_parameters_heating + */ + pth->has_exotic_injection = _FALSE_; + + /** 1) DM annihilation */ + /** 1.a) Energy fraction absorbed by the gas */ + pin->DM_annihilation_efficiency = 0.; + pin->DM_annihilation_cross_section = 0.; + pin->DM_annihilation_mass = 0.; + pin->DM_annihilation_fraction = 0.; + /** 1.a.1) Redshift dependence */ + pin->DM_annihilation_variation = 0.; + pin->DM_annihilation_z = 1000.; + pin->DM_annihilation_zmax = 2500.; + pin->DM_annihilation_zmin = 30.; + pin->DM_annihilation_f_halo = 0.; + pin->DM_annihilation_z_halo = 30.; + + /** 2) DM decay */ + /** 2.a) Fraction */ + pin->DM_decay_fraction = 0.; + /** 2.b) Decay width */ + pin->DM_decay_Gamma = 0.; + + /** 3) PBH evaporation */ + /** 3.a) Fraction */ + pin->PBH_evaporation_fraction = 0.; + /** 3.b) Mass */ + pin->PBH_evaporation_mass = 0.; + + /** 4) PBH accretion */ + /** 4.a) Fraction */ + pin->PBH_accretion_fraction = 0.; + /** 4.b) Mass */ + pin->PBH_accretion_mass = 0.; + /** 4.c) Recipe */ + pin->PBH_accretion_recipe = disk_accretion; + /** 4.c.1) Additional parameters for spherical accretion */ + pin->PBH_accretion_relative_velocities = -1.; + /** 4.c.1) Additional parameters for disk accretion */ + pin->PBH_accretion_eigenvalue = 0.1; + pin->PBH_accretion_ADAF_delta = 1.e-3; + + /** 5) Injection efficiency */ + pin->f_eff_type = f_eff_on_the_spot; + pin->f_eff = 1.; + class_sprintf(pin->f_eff_file,"external/heating/example_f_eff_file.dat"); + + /** 6) Deposition function */ + pin->chi_type = chi_CK; + /** 6.1) External file */ + class_sprintf(pin->chi_z_file,"external/heating/example_chiz_file.dat"); + class_sprintf(pin->chi_x_file,"external/heating/example_chix_file.dat"); - /* launch iterations in order to coverge to effective model with wa=0 but the same chi = (tau[z_i] - tau_rec) */ + /** + * Default to input_read_parameters_nonlinear + */ - pba->wa_fld=0.; + /** 1) Non-linearity */ + ppt->has_nl_corrections_based_on_delta_m = _FALSE_; + pfo->method = nl_none; + pfo->has_pk_eq = _FALSE_; + pfo->extrapolation_method = extrap_max_scaled; + pfo->feedback = nl_emu_dmonly; + pfo->z_infinity = 10.; - do { - class_call(background_free_noinput(pba), pba->error_message, errmsg); - class_call(thermodynamics_free(pth), pth->error_message, errmsg); + /** + * Default to input_read_parameters_primordial + */ - class_call(background_init(ppr,pba), pba->error_message, errmsg); - class_call(background_tau_of_z(pba,z[index_pk_eq_z],&tau_of_z), pba->error_message, errmsg); - class_call(thermodynamics_init(ppr,pba,pth), pth->error_message, errmsg); + /** 1) Primordial spectrum type */ + ppm->primordial_spec_type = analytic_Pk; + /** 1.a) Pivot scale in Mpc-1 */ + ppm->k_pivot = 0.05; - delta_tau_eq = tau_of_z - pth->tau_rec; + /** 1.b) For type 'analytic_Pk' */ + /** 1.b.1) For scalar perturbations */ + ppm->A_s = 2.100549e-09; + /** 1.b.1.1) Adiabatic perturbations */ + ppm->n_s = 0.9660499; + ppm->alpha_s = 0.; + /** 1.b.1.2) Isocurvature/entropy perturbations */ + ppm->f_bi = 1.; + ppm->n_bi = 1.; + ppm->alpha_bi = 0.; + ppm->f_cdi = 1.; + ppm->n_cdi = 1.; + ppm->alpha_cdi = 0.; + ppm->f_nid = 1.; + ppm->n_nid = 1.; + ppm->alpha_nid = 0.; + ppm->f_niv = 1.; + ppm->n_niv = 1.; + ppm->alpha_niv = 0.; + /** 1.b.1.3) Cross-correlation between different adiabatic/entropy mode */ + ppm->c_ad_bi = 0.; + ppm->n_ad_bi = 0.; + ppm->alpha_ad_bi = 0.; + ppm->c_ad_cdi = 0.; + ppm->n_ad_cdi = 0.; + ppm->alpha_ad_cdi = 0.; + ppm->c_ad_nid = 0.; + ppm->n_ad_nid = 0.; + ppm->alpha_ad_nid = 0.; + ppm->c_ad_niv = 0.; + ppm->n_ad_niv = 0.; + ppm->alpha_ad_niv = 0.; + ppm->c_bi_cdi = 0.; + ppm->n_bi_cdi = 0.; + ppm->alpha_bi_cdi = 0.; + ppm->c_bi_nid = 0.; + ppm->n_bi_nid = 0.; + ppm->alpha_bi_nid = 0.; + ppm->c_bi_niv = 0.; + ppm->n_bi_niv = 0.; + ppm->alpha_bi_niv = 0.; + ppm->c_cdi_nid = 0.; + ppm->n_cdi_nid = 0.; + ppm->alpha_cdi_nid = 0.; + ppm->c_cdi_niv = 0.; + ppm->n_cdi_niv = 0.; + ppm->alpha_cdi_niv = 0.; + ppm->c_nid_niv = 0.; + ppm->n_nid_niv = 0.; + ppm->alpha_nid_niv = 0.; + /** 1.b.2) For tensor perturbations */ + ppm->r = 1.; + ppm->n_t = -ppm->r/8.*(2.-ppm->r/8.-ppm->n_s); + ppm->alpha_t = ppm->r/8.*(ppm->r/8.+ppm->n_s-1.); + /** 1.c) For type 'inflation_V' */ + /** 1.c.2) Coefficients of the Taylor expansion */ + ppm->V0=1.25e-13; + ppm->V1=-1.12e-14; + ppm->V2=-6.95e-14; + ppm->V3=0.; + ppm->V4=0.; + /** 1.d) For type 'inflation_H' */ + ppm->H0=3.69e-6; + ppm->H1=-5.84e-7; + ppm->H2=0.; + ppm->H3=0.; + ppm->H4=0.; + /** 1.e) For type 'inflation_V_end' */ + /** 1.e.1) Value of the field at the minimum of the potential */ + ppm->phi_end=0.; + /** 1.e.2) Shape of the potential */ + ppm->potential=polynomial; + /** 1.e.4) Increase of scale factor or (aH) between Hubble crossing at pivot + scale and end of inflation */ + ppm->phi_pivot_method = N_star; + ppm->phi_pivot_target = 60; + /** 1.e.5) Nomral numerical integration or analytical slow-roll formulas? */ + ppm->behavior=numerical; + /** 1.g) For type 'external_Pk' */ + /** 1.g.1) Command generating the table */ + ppm->command=NULL;//"write here your command for the external Pk" - error = 1.-delta_tau_eq/delta_tau; - pba->w0_fld = pba->w0_fld*pow(1.+error,10.); + /** 1.g.2) Parameters to be passed to the command */ + ppm->custom1=0.; + ppm->custom2=0.; + ppm->custom3=0.; + ppm->custom4=0.; + ppm->custom5=0.; + ppm->custom6=0.; + ppm->custom7=0.; + ppm->custom8=0.; + ppm->custom9=0.; + ppm->custom10=0.; - } - while(fabs(error) > ppr->pk_eq_tol); + /** + * Default to input_read_parameters_spectra + */ - /* Equivalent model found. Store w0(z) in that model. Find Omega_m(z) in that model and store it. */ + /** 1) Maximum l for CLs */ + ppt->l_scalar_max=2500; + ppt->l_vector_max=500; + ppt->l_tensor_max=500; + ppt->l_lss_max=300; - pnl->pk_eq_w_and_Omega[pnl->pk_eq_size*index_pk_eq_z+pnl->index_pk_eq_w] = pba->w0_fld; + /** 2) Parameters for the the matter density number count */ + /** 2.a) Selection functions W(z) of each redshift bin */ + ppt->selection=gaussian; + ppt->selection_num=1; + ppt->selection_mean[0]=1.; + ppt->selection_width[0]=0.1; + ptr->selection_bias[0]=1.; + ptr->selection_magnification_bias[0]=0.; + phr->non_diag=0; + /** 2.b) Selection function */ + ptr->has_nz_analytic = _FALSE_; + ptr->has_nz_file = _FALSE_; + /** 2.c) Source number counts evolution */ + ptr->has_nz_evo_analytic = _FALSE_; + ptr->has_nz_evo_file = _FALSE_; - class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); - class_call(background_at_tau(pba, - tau_of_z, - pba->long_info, - pba->inter_normal, - &last_index, - pvecback), - pba->error_message, errmsg); - pnl->pk_eq_w_and_Omega[pnl->pk_eq_size*index_pk_eq_z+pnl->index_pk_eq_Omega_m] = pvecback[pba->index_bg_Omega_m]; - free(pvecback); + /** 3) Power spectrum P(k) */ + /** 3.a) Maximum k in P(k) */ + ppt->k_max_for_pk=1.; + /** 3.a) Maximum k in P(k) primordial */ + ppm->has_k_max_for_primordial_pk = _FALSE_; + /** 3.b) Redshift values */ + pop->z_pk_num = 1; + pop->z_pk[0] = 0.; + /** 3.c) Maximum redshift */ + ppt->z_max_pk=0.; - class_call(background_free_noinput(pba), pba->error_message, errmsg); - class_call(thermodynamics_free(pth), pth->error_message, errmsg); + /** + * Default to input_read_parameters_lensing + */ - } + /** 1) Lensing */ + ple->has_lensed_cls = _FALSE_; - /** - restore cosmological parameters (w0, wa) to their true values before main call to CLASS modules */ + /** 2) Should the lensed spectra be rescaled? */ + ptr->lcmb_rescale=1.; + ptr->lcmb_tilt=0.; + ptr->lcmb_pivot=0.1; + ppt->want_lcmb_full_limber = _TRUE_; - pba->background_verbose = true_background_verbose; - pth->thermodynamics_verbose = true_thermodynamics_verbose; - pba->w0_fld = true_w0_fld; - pba->wa_fld = true_wa_fld; + /** + * Default to input_read_parameters_distortions + */ - /* in verbose mode, report the results */ + /** 1) Branching ratio approximation */ + psd->sd_branching_approx = bra_exact; + /** 1.a.1) Number of multipoles in PCA expansion */ + psd->sd_PCA_size=2; + /** 1.a.2) Detector noise file name */ + psd->has_detector_file = _FALSE_; + /** 1.a.3) Detector name */ + psd->has_user_defined_name = _FALSE_; + psd->has_user_defined_detector = _FALSE_; + class_sprintf(psd->sd_detector_name,"PIXIE"); + /** 1.3.a.1) Detector nu min */ + psd->sd_detector_nu_min = 30.; + /** 1.3.a.2) Detector nu max */ + psd->sd_detector_nu_max = 1005.; + /** 1.3.a.3) Detector nu delta/bin number */ + psd->sd_detector_nu_delta = 15.; + psd->sd_detector_bin_number = 65; + /** 1.3.a.1) Detector noise */ + psd->sd_detector_delta_Ic = 5.e-26; + + /** 2) Only exotic species? */ + psd->include_only_exotic = _FALSE_; + + /** 3) Include g distortion in total calculation? */ + psd->include_g_distortion = _FALSE_; + + /** 4) Additional y or mu parameters? */ + psd->sd_add_y = 0.; + psd->sd_add_mu = 0.; + + /** 5) Include SZ effect from reionization? */ + psd->has_SZ_effect = _FALSE_; + /** 5.a) What type of approximation you want to use for the SZ effect? */ + psd->sd_reio_type = sd_reio_Chluba; - if (input_verbose > 1) { + /** + * Default to input_read_additional + */ - fprintf(stdout," Effective parameters for Pk_equal:\n"); + pth->compute_cb2_derivatives=_FALSE_; - for (index_pk_eq_z=0; index_pk_eq_zpk_eq_tau_size; index_pk_eq_z++) { + /** + * Default to input_read_parameters_output + */ - fprintf(stdout," * at z=%e, tau=%e w=%e Omega_m=%e\n", - z[index_pk_eq_z], - pnl->pk_eq_tau[index_pk_eq_z], - pnl->pk_eq_w_and_Omega[pnl->pk_eq_size*index_pk_eq_z+pnl->index_pk_eq_w], - pnl->pk_eq_w_and_Omega[pnl->pk_eq_size*index_pk_eq_z+pnl->index_pk_eq_Omega_m] - ); - } - } + /** 1) Output for external files */ + /** 1.a) File name */ + class_sprintf(pop->root,"output/"); + /** 1.b) Headers */ + pop->write_header = _TRUE_; + /** 1.c) Format */ + pop->output_format = class_format; + /** 1.d) Background quantities */ + pop->write_background = _FALSE_; + /** 1.e) Thermodynamics quantities */ + pop->write_thermodynamics = _FALSE_; + /** 1.f) Table of perturbations for certain wavenumbers k */ + ppt->k_output_values_num=0; + pop->write_perturbations = _FALSE_; + ppt->store_perturbations = _FALSE_; + /** 1.g) Primordial spectra */ + pop->write_primordial = _FALSE_; + /** 1.h) Exotic energy injection function */ + pop->write_exotic_injection = _FALSE_; + pop->write_noninjection = _FALSE_; + /** 1.i) Spectral distortions */ + pop->write_distortions = _FALSE_; - free(z); - /** - spline the table for later interpolation */ + /** 2) Verbosity */ + pba->background_verbose = 0; + pth->thermodynamics_verbose = 0; + pth->hyrec_verbose = 0; + ppt->perturbations_verbose = 0; + ptr->transfer_verbose = 0; + ppm->primordial_verbose = 0; + phr->harmonic_verbose = 0; + pfo->fourier_verbose = 0; + ple->lensing_verbose = 0; + psd->distortions_verbose = 0; + pop->output_verbose = 0; - class_call(array_spline_table_lines( - pnl->pk_eq_tau, - pnl->pk_eq_tau_size, - pnl->pk_eq_w_and_Omega, - pnl->pk_eq_size, - pnl->pk_eq_ddw_and_ddOmega, - _SPLINE_NATURAL_, - errmsg), - errmsg,errmsg); + input_default_params_smg(pba, ppt); return _SUCCESS_; diff --git a/source/lensing.c b/source/lensing.c old mode 100755 new mode 100644 index e7c0e1c5..778af1f7 --- a/source/lensing.c +++ b/source/lensing.c @@ -10,13 +10,14 @@ * * The following functions can be called from other modules: * - * -# lensing_init() at the beginning (but after spectra_init()) + * -# lensing_init() at the beginning (but after harmonic_init()) * -# lensing_cl_at_l() at any time for computing Cl_lensed at any l * -# lensing_free() at the end */ #include "lensing.h" #include +#include "parallel.h" /** * Anisotropy power spectra \f$ C_l\f$'s for all types, modes and initial conditions. @@ -75,17 +76,17 @@ int lensing_cl_at_l( * * @param ppr Input: pointer to precision structure * @param ppt Input: pointer to perturbation structure (just in case, not used in current version...) - * @param psp Input: pointer to spectra structure - * @param pnl Input: pointer to nonlinear structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure * @param ple Output: pointer to initialized lensing structure * @return the error status */ int lensing_init( struct precision * ppr, - struct perturbs * ppt, - struct spectra * psp, - struct nonlinear * pnl, + struct perturbations * ppt, + struct harmonic * phr, + struct fourier * pfo, struct lensing * ple ) { @@ -120,28 +121,15 @@ int lensing_init( double * ksip = NULL; /* ksip[index_mu] */ double * ksim = NULL; /* ksim[index_mu] */ - double fac,fac1; - double X_000; - double X_p000; - double X_220; - double X_022; - double X_p022; - double X_121; - double X_132; - double X_242; - int num_mu,index_mu,icount; int l; double ll; double * cl_unlensed; /* cl_unlensed[index_ct] */ - double * cl_tt; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */ - double * cl_te = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */ - double * cl_ee = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */ - double * cl_bb = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */ - double * cl_pp; /* potential cl, to be filled to avoid repeated calls to spectra_cl_at_l */ - - double res,resX,lens; - double resp, resm, lensp, lensm; + double * cl_tt; /* unlensed cl, to be filled to avoid repeated calls to harmonic_cl_at_l */ + double * cl_te = NULL; /* unlensed cl, to be filled to avoid repeated calls to harmonic_cl_at_l */ + double * cl_ee = NULL; /* unlensed cl, to be filled to avoid repeated calls to harmonic_cl_at_l */ + double * cl_bb = NULL; /* unlensed cl, to be filled to avoid repeated calls to harmonic_cl_at_l */ + double * cl_pp; /* potential cl, to be filled to avoid repeated calls to harmonic_cl_at_l */ double * sqrt1; double * sqrt2; @@ -150,7 +138,7 @@ int lensing_init( double * sqrt5; double ** cl_md_ic; /* array with argument - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */ + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct] */ double ** cl_md; /* array with argument cl_md[index_md][index_ct] */ @@ -181,7 +169,7 @@ int lensing_init( /** - initialize indices and allocate some of the arrays in the lensing structure */ - class_call(lensing_indices(ppr,psp,ple), + class_call(lensing_indices(ppr,phr,ple), ple->error_message, ple->error_message); @@ -252,7 +240,7 @@ int lensing_init( ple->error_message); icount += 4*num_mu*(ple->l_unlensed_max+1); - if(ple->has_te==_TRUE_) { + if (ple->has_te==_TRUE_) { class_alloc(d20, num_mu*sizeof(double*), @@ -416,7 +404,7 @@ int lensing_init( ple->error_message); class_alloc(cl_unlensed, - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), ple->error_message); @@ -443,31 +431,31 @@ int lensing_init( ple->error_message); class_alloc(cl_md_ic, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), ple->error_message); class_alloc(cl_md, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), ple->error_message); - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) class_alloc(cl_md[index_md], - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), ple->error_message); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) class_alloc(cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double), + phr->ic_ic_size[index_md]*phr->ct_size*sizeof(double), ple->error_message); } for (l=2; l<=ple->l_unlensed_max; l++) { - class_call(spectra_cl_at_l(psp,l,cl_unlensed,cl_md,cl_md_ic), - psp->error_message, + class_call(harmonic_cl_at_l(phr,l,cl_unlensed,cl_md,cl_md_ic), + phr->error_message, ple->error_message); cl_tt[l] = cl_unlensed[ple->index_lt_tt]; cl_pp[l] = cl_unlensed[ple->index_lt_pp]; @@ -480,12 +468,12 @@ int lensing_init( } } - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) free(cl_md[index_md]); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) free(cl_md_ic[index_md]); } @@ -495,30 +483,37 @@ int lensing_init( /** - Compute sigma2\f$(\mu)\f$ and Cgl2(\f$\mu\f$) **/ - //debut = omp_get_wtime(); -#pragma omp parallel for \ - private (index_mu,l) \ - schedule (static) + class_setup_parallel(); + for (index_mu=0; index_mul_unlensed_max; + class_run_parallel(with_arguments(index_mu,l_unlensed_max,Cgl,Cgl2,cl_pp,d11,d1m1), + int l; - for (l=2; l<=ple->l_unlensed_max; l++) { + Cgl[index_mu]=0; + Cgl2[index_mu]=0; - Cgl[index_mu] += (2.*l+1.)*l*(l+1.)* - cl_pp[l]*d11[index_mu][l]; + for (l=2; l<=l_unlensed_max; l++) { - Cgl2[index_mu] += (2.*l+1.)*l*(l+1.)* - cl_pp[l]*d1m1[index_mu][l]; + Cgl[index_mu] += (2.*l+1.)*l*(l+1.)* + cl_pp[l]*d11[index_mu][l]; - } + Cgl2[index_mu] += (2.*l+1.)*l*(l+1.)* + cl_pp[l]*d1m1[index_mu][l]; + + } - Cgl[index_mu] /= 4.*_PI_; - Cgl2[index_mu] /= 4.*_PI_; + Cgl[index_mu] /= 4.*_PI_; + Cgl2[index_mu] /= 4.*_PI_; + return _SUCCESS_; + ); } + class_finish_parallel(); + for (index_mu=0; index_mul_unlensed_max;l++) { ll = (double)l; @@ -605,8 +599,12 @@ int lensing_init( if (ple->has_te==_TRUE_ || ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) { /* X_022 = exp(-(fac-1.)*sigma2[index_mu]); */ X_022 = X_000 * (1+sigma2[index_mu]*(1+0.5*sigma2[index_mu])); /* Order 2 */ - X_p022 = (fac-1.)*X_022; - /* X_242 = 0.25*sqrt4[l] * exp(-(fac-5./2.)*sigma2[index_mu]); */ + X_p022 = -(fac-1.)*X_022; /* Old versions were missing the + minus sign in this line, which introduced a very small error + on the high-l C_l^TE lensed spectrum [credits for bug fix: + Selim Hotinli] */ + + /* X_242 = 0.25*sqrt4[l] * exp(-(fac-5./2.)*sigma2[index_mu]); */ X_242 = 0.25*sqrt4[l] * X_000; /* Order 0 */ if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) { @@ -683,7 +681,12 @@ int lensing_init( ksim[index_mu] += resm; } } + return _SUCCESS_; + + ); } + + class_finish_parallel(); //fin = omp_get_wtime(); //cpu_time = (fin-debut); //printf("time in ksi=%4.3f s\n",cpu_time); @@ -821,21 +824,21 @@ int lensing_free( * This routine defines indices and allocates tables in the lensing structure * * @param ppr Input: pointer to precision structure - * @param psp Input: pointer to spectra structure + * @param phr Input: pointer to harmonic structure * @param ple Input/output: pointer to lensing structure * @return the error status */ int lensing_indices( struct precision * ppr, - struct spectra * psp, + struct harmonic * phr, struct lensing * ple ){ int index_l; double ** cl_md_ic; /* array with argument - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */ + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct] */ double ** cl_md; /* array with argument cl_md[index_md][index_ct] */ @@ -845,97 +848,97 @@ int lensing_indices( /* indices of all Cl types (lensed and unlensed) */ - if (psp->has_tt == _TRUE_) { + if (phr->has_tt == _TRUE_) { ple->has_tt = _TRUE_; - ple->index_lt_tt=psp->index_ct_tt; + ple->index_lt_tt=phr->index_ct_tt; } else { ple->has_tt = _FALSE_; } - if (psp->has_ee == _TRUE_) { + if (phr->has_ee == _TRUE_) { ple->has_ee = _TRUE_; - ple->index_lt_ee=psp->index_ct_ee; + ple->index_lt_ee=phr->index_ct_ee; } else { ple->has_ee = _FALSE_; } - if (psp->has_te == _TRUE_) { + if (phr->has_te == _TRUE_) { ple->has_te = _TRUE_; - ple->index_lt_te=psp->index_ct_te; + ple->index_lt_te=phr->index_ct_te; } else { ple->has_te = _FALSE_; } - if (psp->has_bb == _TRUE_) { + if (phr->has_bb == _TRUE_) { ple->has_bb = _TRUE_; - ple->index_lt_bb=psp->index_ct_bb; + ple->index_lt_bb=phr->index_ct_bb; } else { ple->has_bb = _FALSE_; } - if (psp->has_pp == _TRUE_) { + if (phr->has_pp == _TRUE_) { ple->has_pp = _TRUE_; - ple->index_lt_pp=psp->index_ct_pp; + ple->index_lt_pp=phr->index_ct_pp; } else { ple->has_pp = _FALSE_; } - if (psp->has_tp == _TRUE_) { + if (phr->has_tp == _TRUE_) { ple->has_tp = _TRUE_; - ple->index_lt_tp=psp->index_ct_tp; + ple->index_lt_tp=phr->index_ct_tp; } else { ple->has_tp = _FALSE_; } - if (psp->has_dd == _TRUE_) { + if (phr->has_dd == _TRUE_) { ple->has_dd = _TRUE_; - ple->index_lt_dd=psp->index_ct_dd; + ple->index_lt_dd=phr->index_ct_dd; } else { ple->has_dd = _FALSE_; } - if (psp->has_td == _TRUE_) { + if (phr->has_td == _TRUE_) { ple->has_td = _TRUE_; - ple->index_lt_td=psp->index_ct_td; + ple->index_lt_td=phr->index_ct_td; } else { ple->has_td = _FALSE_; } - if (psp->has_ll == _TRUE_) { + if (phr->has_ll == _TRUE_) { ple->has_ll = _TRUE_; - ple->index_lt_ll=psp->index_ct_ll; + ple->index_lt_ll=phr->index_ct_ll; } else { ple->has_ll = _FALSE_; } - if (psp->has_tl == _TRUE_) { + if (phr->has_tl == _TRUE_) { ple->has_tl = _TRUE_; - ple->index_lt_tl=psp->index_ct_tl; + ple->index_lt_tl=phr->index_ct_tl; } else { ple->has_tl = _FALSE_; } - ple->lt_size = psp->ct_size; + ple->lt_size = phr->ct_size; /* number of multipoles */ - ple->l_unlensed_max = psp->l_max_tot; + ple->l_unlensed_max = phr->l_max_tot; ple->l_lensed_max = ple->l_unlensed_max - ppr->delta_l_max; - for (index_l=0; (index_l < psp->l_size_max) && (psp->l[index_l] <= ple->l_lensed_max); index_l++); + for (index_l=0; (index_l < phr->l_size_max) && (phr->l[index_l] <= ple->l_lensed_max); index_l++); - if (index_l < psp->l_size_max) index_l++; /* one more point in order to be able to interpolate till ple->l_lensed_max */ + if (index_l < phr->l_size_max) index_l++; /* one more point in order to be able to interpolate till ple->l_lensed_max */ ple->l_size = index_l+1; @@ -943,7 +946,7 @@ int lensing_indices( for (index_l=0; index_l < ple->l_size; index_l++) { - ple->l[index_l] = psp->l[index_l]; + ple->l[index_l] = phr->l[index_l]; } @@ -960,42 +963,42 @@ int lensing_indices( /* fill with unlensed cls */ class_alloc(cl_md_ic, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), ple->error_message); class_alloc(cl_md, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), ple->error_message); - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) class_alloc(cl_md[index_md], - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), ple->error_message); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) class_alloc(cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double), + phr->ic_ic_size[index_md]*phr->ct_size*sizeof(double), ple->error_message); } for (index_l=0; index_ll_size; index_l++) { - class_call(spectra_cl_at_l(psp,ple->l[index_l],&(ple->cl_lens[index_l*ple->lt_size]),cl_md,cl_md_ic), - psp->error_message, + class_call(harmonic_cl_at_l(phr,ple->l[index_l],&(ple->cl_lens[index_l*ple->lt_size]),cl_md,cl_md_ic), + phr->error_message, ple->error_message); } - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) free(cl_md[index_md]); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) free(cl_md_ic[index_md]); } @@ -1013,11 +1016,11 @@ int lensing_indices( class_alloc(ple->l_max_lt,ple->lt_size*sizeof(double),ple->error_message); for (index_lt = 0; index_lt < ple->lt_size; index_lt++) { ple->l_max_lt[index_lt]=0.; - for (index_md = 0; index_md < psp->md_size; index_md++) { - ple->l_max_lt[index_lt]=MAX(ple->l_max_lt[index_lt],psp->l_max_ct[index_md][index_lt]); + for (index_md = 0; index_md < phr->md_size; index_md++) { + ple->l_max_lt[index_lt]=MAX(ple->l_max_lt[index_lt],phr->l_max_ct[index_md][index_lt]); if ((ple->has_bb == _TRUE_) && (ple->has_ee == _TRUE_) && (index_lt == ple->index_lt_bb)) { - ple->l_max_lt[index_lt]=MAX(ple->l_max_lt[index_lt],psp->l_max_ct[index_md][ple->index_lt_ee]); + ple->l_max_lt[index_lt]=MAX(ple->l_max_lt[index_lt],phr->l_max_ct[index_md][ple->index_lt_ee]); } } @@ -1047,23 +1050,26 @@ int lensing_lensed_cl_tt( struct lensing * ple ) { - double cle; - int imu; int index_l; /** Integration by Gauss-Legendre quadrature. **/ -#pragma omp parallel for \ - private (imu,index_l,cle) \ - schedule (static) - - for(index_l=0; index_ll_size; index_l++){ - cle=0; - for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ - } - ple->cl_lens[index_l*ple->lt_size+ple->index_lt_tt]=cle*2.0*_PI_; + class_setup_parallel(); + + for (index_l=0; index_ll_size; index_l++){ + class_run_parallel(=, + double cle; + int imu; + cle=0; + for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ + } + ple->cl_lens[index_l*ple->lt_size+ple->index_lt_tt]=cle*2.0*_PI_; + return _SUCCESS_; + ); } + class_finish_parallel(); + return _SUCCESS_; } @@ -1110,23 +1116,25 @@ int lensing_lensed_cl_te( struct lensing * ple ) { - double clte; - int imu; int index_l; /** Integration by Gauss-Legendre quadrature. **/ -#pragma omp parallel for \ - private (imu,index_l,clte) \ - schedule (static) - - for(index_l=0; index_l < ple->l_size; index_l++){ - clte=0; - for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ - } - ple->cl_lens[index_l*ple->lt_size+ple->index_lt_te]=clte*2.0*_PI_; + class_setup_parallel(); + + for (index_l=0; index_l < ple->l_size; index_l++){ + class_run_parallel(=, + double clte; + int imu; + clte=0; + for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ + } + ple->cl_lens[index_l*ple->lt_size+ple->index_lt_te]=clte*2.0*_PI_; + return _SUCCESS_; + ); } + class_finish_parallel(); return _SUCCESS_; } @@ -1177,24 +1185,26 @@ int lensing_lensed_cl_ee_bb( struct lensing * ple ) { - double clp, clm; - int imu; int index_l; + class_setup_parallel(); /** Integration by Gauss-Legendre quadrature. **/ -#pragma omp parallel for \ - private (imu,index_l,clp,clm) \ - schedule (static) - - for(index_l=0; index_l < ple->l_size; index_l++){ - clp=0; clm=0; - for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ - clm += ksim[imu]*d2m2[imu][(int)ple->l[index_l]]*w8[imu]; /* loop could be optimized */ - } - ple->cl_lens[index_l*ple->lt_size+ple->index_lt_ee]=(clp+clm)*_PI_; - ple->cl_lens[index_l*ple->lt_size+ple->index_lt_bb]=(clp-clm)*_PI_; + for (index_l=0; index_l < ple->l_size; index_l++){ + class_run_parallel(=, + double clp; + double clm; + int imu; + clp=0; clm=0; + for (imu=0;imul[index_l]]*w8[imu]; /* loop could be optimized */ + clm += ksim[imu]*d2m2[imu][(int)ple->l[index_l]]*w8[imu]; /* loop could be optimized */ + } + ple->cl_lens[index_l*ple->lt_size+ple->index_lt_ee]=(clp+clm)*_PI_; + ple->cl_lens[index_l*ple->lt_size+ple->index_lt_bb]=(clp-clm)*_PI_; + return _SUCCESS_; + ); } + class_finish_parallel(); return _SUCCESS_; } @@ -1245,7 +1255,7 @@ int lensing_d00( int lmax, double ** d00 ) { - double ll, dlm1, dl, dlp1; + double ll; int index_mu, l; double *fac1, *fac2, *fac3; ErrorMsg erreur; @@ -1260,24 +1270,26 @@ int lensing_d00( fac3[l] = sqrt(2./(2*ll+3)); } -#pragma omp parallel for \ - private (index_mu,dlm1,dl,dlp1,l,ll) \ - schedule (static) - + class_setup_parallel(); for (index_mu=0;index_muerror_message, - pnl->error_message); - - /** - interpolate the precomputed k_nl array at the needed valuetime */ - - if (pnl->has_pk_m == _TRUE_) { - - if (pnl->tau_size == 1) { - *k_nl = pnl->k_nl[pnl->index_pk_m][0]; - } - else { - class_call(array_interpolate_two(pnl->tau, - 1, - 0, - pnl->k_nl[pnl->index_pk_m], - 1, - pnl->tau_size, - tau, - k_nl, - 1, - pnl->error_message), - pnl->error_message, - pnl->error_message); - } - } - - /** - if needed, do the same for the baryon part only */ - - if (pnl->has_pk_cb) { - - if (pnl->tau_size == 1) { - *k_nl_cb = pnl->k_nl[pnl->index_pk_cb][0]; - } - else { - class_call(array_interpolate_two(pnl->tau, - 1, - 0, - pnl->k_nl[pnl->index_pk_cb], - 1, - pnl->tau_size, - tau, - k_nl_cb, - 1, - pnl->error_message), - pnl->error_message, - pnl->error_message); - } - } - - /* otherwise, return the same for k_nl_cb as for k_nl */ - - else{ - *k_nl_cb = *k_nl; - } - - return _SUCCESS_; -} - -/** - * Initialize the nonlinear structure, and in particular the - * nl_corr_density and k_nl interpolation tables. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to therodynamics structure - * @param ppt Input: pointer to perturbation structure - * @param ppm Input: pointer to primordial structure - * @param pnl Input/Output: pointer to initialized nonlinear structure - * @return the error status - */ - -int nonlinear_init( - struct precision *ppr, - struct background *pba, - struct thermo *pth, - struct perturbs *ppt, - struct primordial *ppm, - struct nonlinear *pnl - ) { - - int index_ncdm; - int index_k; - int index_tau; - int index_pk; - double *pk_l; - double *pk_nl; - double *lnk_l; - double *lnpk_l; - double *ddlnpk_l; - short print_warning=_FALSE_; - double * pvecback; - int last_index; - double a,z; - short halofit_found_k_max; - - /** Define flags and indices (so few that no dedicated routine needed) */ - - pnl->has_pk_m = _TRUE_; - if (pba->has_ncdm == _TRUE_) { - pnl->has_pk_cb = _TRUE_; - } - else { - pnl->has_pk_cb = _FALSE_; - } - - index_pk = 0; - class_define_index(pnl->index_pk_m, pnl->has_pk_m, index_pk,1); - class_define_index(pnl->index_pk_cb, pnl->has_pk_cb, index_pk,1); - pnl->pk_size = index_pk; - - /** (a) First deal with the case where non non-linear corrections requested */ - - if (pnl->method == nl_none) { - if (pnl->nonlinear_verbose > 0) - printf("No non-linear spectra requested. Nonlinear module skipped.\n"); - } - - /** (b) Compute for HALOFIT non-linear spectrum */ - - else if (pnl->method == nl_halofit) { - if (pnl->nonlinear_verbose > 0) - printf("Computing non-linear matter power spectrum with Halofit (including update Takahashi et al. 2012 and Bird 2014)\n"); - - if (pba->has_ncdm) { - for (index_ncdm=0;index_ncdm < pba->N_ncdm; index_ncdm++){ - if (pba->m_ncdm_in_eV[index_ncdm] > _M_EV_TOO_BIG_FOR_HALOFIT_) - fprintf(stdout,"Warning: Halofit is proved to work for CDM, and also with a small HDM component thanks to Bird et al.'s update. But it sounds like you are running with a WDM component of mass %f eV, which makes the use of Halofit suspicious.\n",pba->m_ncdm_in_eV[index_ncdm]); - } - } - - /** - copy list of (k,tau) from perturbation module */ - - pnl->k_size = ppt->k_size[ppt->index_md_scalars]; - class_alloc(pnl->k,pnl->k_size*sizeof(double),pnl->error_message); - for (index_k=0; index_kk_size; index_k++) - pnl->k[index_k] = ppt->k[ppt->index_md_scalars][index_k]; - - pnl->tau_size = ppt->tau_size; - class_alloc(pnl->tau,pnl->tau_size*sizeof(double),pnl->error_message); - for (index_tau=0; index_tautau_size; index_tau++) - pnl->tau[index_tau] = ppt->tau_sampling[index_tau]; - - class_alloc(pnl->nl_corr_density, - pnl->pk_size*sizeof(double *), - pnl->error_message); - - class_alloc(pnl->k_nl, - pnl->pk_size*sizeof(double *), - pnl->error_message); - - class_alloc(pk_l, - pnl->k_size*sizeof(double), - pnl->error_message); - - class_alloc(pk_nl, - pnl->k_size*sizeof(double), - pnl->error_message); - - class_alloc(lnk_l, - pnl->k_size*sizeof(double), - pnl->error_message); - - class_alloc(lnpk_l, - pnl->k_size*sizeof(double), - pnl->error_message); - - class_alloc(ddlnpk_l, - pnl->k_size*sizeof(double), - pnl->error_message); - - for (index_pk=0; index_pkpk_size; index_pk++){ - class_alloc(pnl->nl_corr_density[index_pk],pnl->tau_size*pnl->k_size*sizeof(double),pnl->error_message); - class_alloc(pnl->k_nl[index_pk],pnl->tau_size*sizeof(double),pnl->error_message); - } - - print_warning=_FALSE_; - - pnl->index_tau_min_nl = 0; - - /** - loop over time */ - - for (index_tau = pnl->tau_size-1; index_tau>=0; index_tau--) { - - for (index_pk=0; index_pkpk_size; index_pk++) { - - /* get P_L(k) at this time */ - class_call(nonlinear_pk_l(pba,ppt,ppm,pnl,index_pk,index_tau,pk_l,lnk_l,lnpk_l,ddlnpk_l), - pnl->error_message, - pnl->error_message); - - /* get P_NL(k) at this time */ - if (print_warning == _FALSE_) { - - class_call(nonlinear_halofit(ppr, - pba, - ppt, - ppm, - pnl, - index_pk, - pnl->tau[index_tau], - pk_l, - pk_nl, - lnk_l, - lnpk_l, - ddlnpk_l, - &(pnl->k_nl[index_pk][index_tau]), - &halofit_found_k_max), - pnl->error_message, - pnl->error_message); - - if (halofit_found_k_max == _TRUE_) { - - // for debugging: - /*if ((index_tau == pnl->tau_size-1)){ - for (index_k=0; index_kk_size; index_k++) { - fprintf(stdout,"%d %e %e %e\n",index_pk,pnl->k[index_k],pk_l[index_pk][index_k],pk_nl[index_pk][index_k]); - } - fprintf(stdout,"\n\n\n"); - }*/ - - for (index_k=0; index_kk_size; index_k++) { - pnl->nl_corr_density[index_pk][index_tau * pnl->k_size + index_k] = sqrt(pk_nl[index_k]/pk_l[index_k]); - } - } - else { - /* when Halofit found k_max too small, use 1 as the - non-linear correction for this redshift/time, store the - last index which worked, and print a warning. */ - print_warning = _TRUE_; - pnl->index_tau_min_nl = index_tau+1; - for (index_k=0; index_kk_size; index_k++) { - pnl->nl_corr_density[index_pk][index_tau * pnl->k_size + index_k] = 1.; - } - if (pnl->nonlinear_verbose > 0) { - class_alloc(pvecback,pba->bg_size*sizeof(double),pnl->error_message); - class_call(background_at_tau(pba,pnl->tau[index_tau],pba->short_info,pba->inter_normal,&last_index,pvecback), - pba->error_message, - pnl->error_message); - a = pvecback[pba->index_bg_a]; - z = pba->a_today/a-1.; - fprintf(stdout, - " -> [WARNING:] index_pk=%d Halofit non-linear corrections could not be computed at redshift z=%5.2f and higher.\n This is because k_max is too small for Halofit to be able to compute the scale k_NL at this redshift.\n If non-linear corrections at such high redshift really matter for you,\n just try to increase one of the parameters P_k_max_h/Mpc or P_k_max_1/Mpc or halofit_min_k_max (the code will take the max of these parameters) until reaching desired z.\n", - index_pk,z); - free(pvecback); - } - } - } - else { - /* if Halofit found k_max too small at a previous - time/redhsift, use 1 as the non-linear correction for all - higher redshifts/earlier times. */ - for (index_k=0; index_kk_size; index_k++) { - pnl->nl_corr_density[index_pk][index_tau * pnl->k_size + index_k] = 1.; - } - } - - }//end loop over pk_type - - }//end loop over tau - - /* free allocated arrays */ - - free(pk_l); - free(pk_nl); - free(lnk_l); - free(lnpk_l); - free(ddlnpk_l); - - } // end of Halofit part - - else { - class_stop(pnl->error_message, - "Your non-linear method variable is set to %d, out of the range defined in nonlinear.h",pnl->method); - } - - return _SUCCESS_; -} - -/** - * Free all memory space allocated by nonlinear_init(). - * - * - * @param pnl Input: pointer to nonlineard structure (to be freed) - * @return the error status - */ - -int nonlinear_free( - struct nonlinear *pnl - ) { - int index_pk; - - if (pnl->method > nl_none) { - - if (pnl->method == nl_halofit) { - free(pnl->k); - free(pnl->tau); - for(index_pk=0;index_pkpk_size;++index_pk){ - free(pnl->nl_corr_density[index_pk]); - free(pnl->k_nl[index_pk]); - } - free(pnl->nl_corr_density); - free(pnl->k_nl); - } - } - - if (pnl->has_pk_eq == _TRUE_) { - free(pnl->pk_eq_tau); - free(pnl->pk_eq_w_and_Omega); - free(pnl->pk_eq_ddw_and_ddOmega); - } - - return _SUCCESS_; - -} - -/** - * Calculation of the linear matter power spectrum, used to get the - * nonlinear one. This is partially redundent with a more elaborate - * version of this calculation performed later in the spectra - * module. At some point the organisation will change to avoid this - * redundency. - * - * @param pba Input: pointer to background structure - * @param ppt Input: pointer to perturbation structure - * @param ppm Input: pointer to primordial structure - * @param pnl Input: pointer to nonlinear structure - * @param index_pk Input: index of component are we looking at (total matter or cdm+baryons?) - * @param index_tau Input: index of conformal time at which we want to do the calculation - * @param pk_l Output: linear spectrum at the relevant time - * @param lnk Output: array log(wavenumber) - * @param lnpk Output: array of log(P(k)_linear) - * @param ddlnpk Output: array of second derivative of log(P(k)_linear) wrt k, for spline interpolation - * @return the error status - */ - -int nonlinear_pk_l( - struct background *pba, - struct perturbs *ppt, - struct primordial *ppm, - struct nonlinear *pnl, - int index_pk, - int index_tau, - double *pk_l, - double *lnk, - double *lnpk, - double *ddlnpk) { - - int index_md; - int index_k; - int index_delta; - int index_ic1,index_ic2,index_ic1_ic2; - double * primordial_pk; - double source_ic1,source_ic2; - - index_md = ppt->index_md_scalars; - - if ((pnl->has_pk_m == _TRUE_) && (index_pk == pnl->index_pk_m)) { - index_delta = ppt->index_tp_delta_m; - } - else if ((pnl->has_pk_cb == _TRUE_) && (index_pk == pnl->index_pk_cb)) { - index_delta = ppt->index_tp_delta_cb; - } - else { - class_stop(pnl->error_message,"P(k) is set neither to total matter nor to cold dark matter + baryons"); - } - - class_alloc(primordial_pk,ppm->ic_ic_size[index_md]*sizeof(double),pnl->error_message); - - for (index_k=0; index_kk_size; index_k++) { - - class_call(primordial_spectrum_at_k(ppm, - index_md, - linear, - pnl->k[index_k], - primordial_pk), - ppm->error_message, - pnl->error_message); - - pk_l[index_k] = 0; - - /* part diagonal in initial conditions */ - for (index_ic1 = 0; index_ic1 < ppm->ic_size[index_md]; index_ic1++) { - - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic1,ppm->ic_size[index_md]); - - source_ic1 = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + index_delta] - [index_tau * ppt->k_size[index_md] + index_k]; - - pk_l[index_k] += 2.*_PI_*_PI_/pow(pnl->k[index_k],3) - *source_ic1*source_ic1 - *primordial_pk[index_ic1_ic2]; - - } - - /* part non-diagonal in initial conditions */ - for (index_ic1 = 0; index_ic1 < ppm->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1+1; index_ic2 < ppm->ic_size[index_md]; index_ic2++) { - - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,ppm->ic_size[index_md]); - - if (ppm->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - - source_ic1 = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + index_delta] - [index_tau * ppt->k_size[index_md] + index_k]; - - source_ic2 = ppt->sources[index_md] - [index_ic2 * ppt->tp_size[index_md] + index_delta] - [index_tau * ppt->k_size[index_md] + index_k]; - - pk_l[index_k] += 2.*2.*_PI_*_PI_/pow(pnl->k[index_k],3) - *source_ic1*source_ic2 - *primordial_pk[index_ic1_ic2]; // extra 2 factor (to include the symmetric term ic2,ic1) - - } - } - } - - lnk[index_k] = log(pnl->k[index_k]); - lnpk[index_k] = log(pk_l[index_k]); - - } - - class_call(array_spline_table_columns(lnk, - pnl->k_size, - lnpk, - 1, - ddlnpk, - _SPLINE_NATURAL_, - pnl->error_message), - pnl->error_message, - pnl->error_message); - - free(primordial_pk); - - return _SUCCESS_; - -} - -/** - * Calculation of the nonlinear matter power spectrum with Halofit - * (includes Takahashi 2012 + Bird 2013 revisions). - * - * At high redshift it is possible that the non-linear corrections are - * so small that they can be computed only by going to very large - * wavenumbers. Thius, for some combination of (z, k_max), the - * calculation is not possible. In this case a _FALSE_ will be - * returned in the flag halofit_found_k_max. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param ppt Input: pointer to perturbation structure - * @param ppm Input: pointer to primordial structure - * @param pnl Input/Output: pointer to nonlinear structure - * @param index_pk Input: index of component are we looking at (total matter or cdm+baryons?) - * @param tau Input: conformal time at which we want to do the calculation - * @param pk_l Input: linear spectrum at the relevant time - * @param pk_nl Output: non linear spectrum at the relevant time - * @param lnk_l Input: array log(wavenumber) - * @param lnpk_l Input: array of log(P(k)_linear) - * @param ddlnpk_l Input: array of second derivative of log(P(k)_linear) wrt k, for spline interpolation - * @param k_nl Output: non-linear wavenumber - * @param halofit_found_k_max Ouput: flag cocnerning the status of the calculation (_FALSE_ if not possible) - * @return the error status - */ - -int nonlinear_halofit( - struct precision *ppr, - struct background *pba, - struct perturbs *ppt, - struct primordial *ppm, - struct nonlinear *pnl, - int index_pk, - double tau, - double *pk_l, - double *pk_nl, - double *lnk_l, - double *lnpk_l, - double *ddlnpk_l, - double *k_nl, - short * halofit_found_k_max - ) { - - double Omega_m,Omega_v,fnu,Omega0_m, w0, dw_over_da_fld, integral_fld; - - /** Determine non linear ratios (from pk) **/ - - int index_k; - double pk_lin,pk_quasi,pk_halo,rk; - double sigma,rknl,rneff,rncur,d1,d2; - double diff,xlogr1,xlogr2,rmid; - - double gam,a,b,c,xmu,xnu,alpha,beta,f1,f2,f3; - double pk_linaa; - double y; - double f1a,f2a,f3a,f1b,f2b,f3b,frac; - - double * pvecback; - - int last_index=0; - int counter; - double sum1,sum2,sum3; - double anorm; - - double *integrand_array; - int integrand_size; - int index_ia_k; - int index_ia_pk; - int index_ia_sum; - int index_ia_ddsum; - /* - int index_ia_sum2; - int index_ia_ddsum2; - int index_ia_sum3; - int index_ia_ddsum3; - */ - int ia_size; - int index_ia; - - double k_integrand; - double lnpk_integrand; - - double R; - - double * w_and_Omega; - - class_alloc(pvecback,pba->bg_size*sizeof(double),pnl->error_message); - - Omega0_m = pba->Omega0_cdm + pba->Omega0_b + pba->Omega0_ncdm_tot + pba->Omega0_dcdm; - - if ((pnl->has_pk_m == _TRUE_) && (index_pk == pnl->index_pk_m)) { - fnu = pba->Omega0_ncdm_tot/Omega0_m; - } - else if ((pnl->has_pk_cb == _TRUE_) && (index_pk == pnl->index_pk_cb)) { - fnu = 0.; - } - else { - class_stop(pnl->error_message,"P(k) is set neither to total matter nor to cold dark matter + baryons"); - } - - if (pnl->has_pk_eq == _FALSE_) { - - /* default method to compute w0 = w_fld today, Omega_m(tau) and Omega_v=Omega_DE(tau), - all required by HALFIT fitting formulas */ - - class_call(background_w_fld(pba,pba->a_today,&w0,&dw_over_da_fld,&integral_fld), pba->error_message, pnl->error_message); - - class_call(background_at_tau(pba,tau,pba->long_info,pba->inter_normal,&last_index,pvecback), - pba->error_message, - pnl->error_message); - - Omega_m = pvecback[pba->index_bg_Omega_m]; - Omega_v = 1.-pvecback[pba->index_bg_Omega_m]-pvecback[pba->index_bg_Omega_r]; - - } - else { - - /* alternative method called Pk_equal, described in 0810.0190 and - 1601.07230, extending the range of validity of - HALOFIT from constant w to (w0,wa) models. In that - case, some effective values of w0(tau_i) and - Omega_m(tau_i) have been pre-computed in the - input module, and we just ned to interpolate - within tabulated arrays, to get them at the - current tau value. */ - - class_alloc(w_and_Omega,pnl->pk_eq_size*sizeof(double),pnl->error_message); - - class_call(array_interpolate_spline( - pnl->pk_eq_tau, - pnl->pk_eq_tau_size, - pnl->pk_eq_w_and_Omega, - pnl->pk_eq_ddw_and_ddOmega, - pnl->pk_eq_size, - tau, - &last_index, - w_and_Omega, - pnl->pk_eq_size, - pnl->error_message), - pnl->error_message, - pnl->error_message); - - w0 = w_and_Omega[pnl->index_pk_eq_w]; - Omega_m = w_and_Omega[pnl->index_pk_eq_Omega_m]; - Omega_v = 1.-Omega_m; - - free(w_and_Omega); - } - - anorm = 1./(2*pow(_PI_,2)); - - /* Until the 17.02.2015 the values of k used for integrating sigma(R) quantities needed by Halofit where the same as in the perturbation module. - Since then, we sample these integrals on more values, in order to get more precise integrals (thanks Matteo Zennaro for noticing the need for this). - - We create a temporary integrand_array which columns will be: - - k in 1/Mpc - - just linear P(k) in Mpc**3 - - 1/(2(pi**2)) P(k) k**2 exp(-(kR)**2) or 1/(2(pi**2)) P(k) k**2 2 (kR) exp(-(kR)**2) or 1/(2(pi**2)) P(k) k**2 4 (kR)(1-kR) exp(-(kR)**2) - - second derivative of previous line with spline - */ - - index_ia=0; - class_define_index(index_ia_k, _TRUE_,index_ia,1); - class_define_index(index_ia_pk, _TRUE_,index_ia,1); - class_define_index(index_ia_sum, _TRUE_,index_ia,1); - class_define_index(index_ia_ddsum, _TRUE_,index_ia,1); - ia_size = index_ia; - - integrand_size=(int)(log(pnl->k[pnl->k_size-1]/pnl->k[0])/log(10.)*ppr->halofit_k_per_decade)+1; - - class_alloc(integrand_array,integrand_size*ia_size*sizeof(double),pnl->error_message); - - //fprintf(stderr,"Omega_m=%e, fnu=%e\n",Omega0_m,fnu); - - /* we fill integrand_array with values of k and P(k) using interpolation */ - - last_index=0; - - for (index_k=0; index_k < integrand_size; index_k++) { - - k_integrand=pnl->k[0]*pow(10.,index_k/ppr->halofit_k_per_decade); - - class_call(array_interpolate_spline(lnk_l, - pnl->k_size, - lnpk_l, - ddlnpk_l, - 1, - log(k_integrand), - &last_index, - &lnpk_integrand, - 1, - pnl->error_message), - pnl->error_message, - pnl->error_message); - - integrand_array[index_k*ia_size + index_ia_k] = k_integrand; - integrand_array[index_k*ia_size + index_ia_pk] = exp(lnpk_integrand); - - } - - class_call(background_at_tau(pba,tau,pba->long_info,pba->inter_normal,&last_index,pvecback), - pba->error_message, - pnl->error_message); - - //TODO: adapt w0 to smg - //TODO: add warning message -> halofit not correct for modified gravity - Omega_m = pvecback[pba->index_bg_Omega_m]; - Omega_v = pvecback[pba->index_bg_Omega_de]; - w0 = pba->w0_fld; - -// if (tau == pba->tau_table[pba->bt_size-1]) -// printf("Halofit: tau=%g, Omega_m = %g, Omega_r = %g, Omega_v = %g, w0 = %g \n",tau, Omega_m, pvecback[pba->index_bg_Omega_r], Omega_v,w0); - - // for debugging: - //printf("Call Halofit at z=%e\n",pba->a_today/pvecback[pba->index_bg_a]-1.); - - /* minimum value of R such that the integral giving sigma_R is - converged. The parameter halofit_sigma_precision should be - understood as follows: we trust our calculation of sigma(R) as - long as the integral reaches a value k_max such that the factor - exp(-(Rk_max)**2) is already as low as halofit_sigma_precisio, - shoing that the integreal is converged. In practise this - condition is tested only for R_max, the highest value of R in our - bisection algorithm. Hence a smaller value of - halofit_sigma_precision will lead to a more precise halofit - result at the *highest* redshift at which halofit can make - computations, at the expense of requiring a larger k_max; but - this parameter is not relevant for the precision on P_nl(k,z) at - other redshifts, so there is normally no need to change i - */ - - R=sqrt(-log(ppr->halofit_sigma_precision))/integrand_array[(integrand_size-1)*ia_size + index_ia_k]; - - class_call(nonlinear_halofit_integrate( - pnl, - integrand_array, - integrand_size, - ia_size, - index_ia_k, - index_ia_pk, - index_ia_sum, - index_ia_ddsum, - R, - halofit_integral_one, - &sum1 - ), - pnl->error_message, - pnl->error_message); - - sigma = sqrt(sum1); - - /* the following error should not stop the code: it will arrive - inevitably at some large redshift, and then the code should not - stop, but just give up computing P_NL(k,z). This is why we have a - special error handling here (using class_test_except and free() - commands to avoid memory leaks, and calling this whole function - not through a class_call) */ - - /* - class_test_except(sigma < 1., - pnl->error_message, - free(pvecback);free(integrand_array), - "Your k_max=%g 1/Mpc is too small for Halofit to find the non-linearity scale z_nl at z=%g. Increase input parameter P_k_max_h/Mpc or P_k_max_1/Mpc", - pnl->k[pnl->k_size-1], - pba->a_today/pvecback[pba->index_bg_a]-1.); - */ - - if (sigma < 1.) { - * halofit_found_k_max = _FALSE_; - free(pvecback); - free(integrand_array); - return _SUCCESS_; - } - else { - * halofit_found_k_max = _TRUE_; - } - - xlogr1 = log(R)/log(10.); - - /* maximum value of R in the bisection algorithm leading to the - determination of R_nl. For this value we can make a - conservaitive guess: 1/halofit_min_k_nonlinear, where - halofit_min_k_nonlinear is the minimum value of k at which we ask - halofit to give us an estimate of P_nl(k,z). By assumption we - treat all smaller k's as linear, so we know that - sigma(1/halofit_min_k_nonlinear) must be <<1 (and if it is not - the test below will alert us) */ - - R=1./ppr->halofit_min_k_nonlinear; - - /* corresponding value of sigma_R */ - class_call(nonlinear_halofit_integrate( - pnl, - integrand_array, - integrand_size, - ia_size, - index_ia_k, - index_ia_pk, - index_ia_sum, - index_ia_ddsum, - R, - halofit_integral_one, - &sum1 - ), - pnl->error_message, - pnl->error_message); - - sigma = sqrt(sum1); - - class_test(sigma > 1., - pnl->error_message, - "Your input value for the precision parameter halofit_min_k_nonlinear=%e is too large, such that sigma(R=1/halofit_min_k_nonlinear)=% > 1. For self-consistency, it should have been <1. Decrease halofit_min_k_nonlinear", - ppr->halofit_min_k_nonlinear,sigma); - - xlogr2 = log(R)/log(10.); - - counter = 0; - do { - rmid = pow(10,(xlogr2+xlogr1)/2.0); - counter ++; - - class_call(nonlinear_halofit_integrate( - pnl, - integrand_array, - integrand_size, - ia_size, - index_ia_k, - index_ia_pk, - index_ia_sum, - index_ia_ddsum, - rmid, - halofit_integral_one, - &sum1 - ), - pnl->error_message, - pnl->error_message); - - sigma = sqrt(sum1); - - diff = sigma - 1.0; - - if (diff > ppr->halofit_tol_sigma){ - xlogr1=log10(rmid); - } - else if (diff < -ppr->halofit_tol_sigma) { - xlogr2 = log10(rmid); - } - - /* The first version of this test woukld let the code continue: */ - /* - class_test_except(counter > _MAX_IT_, - pnl->error_message, - free(pvecback);free(integrand_array), - "could not converge within maximum allowed number of iterations"); - */ - /* ... but in this situation it sounds better to make it stop and return an error! */ - class_test(counter > _MAX_IT_, - pnl->error_message, - "could not converge within maximum allowed number of iterations"); - - } while (fabs(diff) > ppr->halofit_tol_sigma); - - /* evaluate all the other integrals at R=rmid */ - - class_call(nonlinear_halofit_integrate( - pnl, - integrand_array, - integrand_size, - ia_size, - index_ia_k, - index_ia_pk, - index_ia_sum, - index_ia_ddsum, - rmid, - halofit_integral_two, - &sum2 - ), - pnl->error_message, - pnl->error_message); - - class_call(nonlinear_halofit_integrate( - pnl, - integrand_array, - integrand_size, - ia_size, - index_ia_k, - index_ia_pk, - index_ia_sum, - index_ia_ddsum, - rmid, - halofit_integral_three, - &sum3 - ), - pnl->error_message, - pnl->error_message); - - sigma = sqrt(sum1); - d1 = -sum2/sum1; - d2 = -sum2*sum2/sum1/sum1 - sum3/sum1; - - rknl = 1./rmid; - rneff = -3.-d1; - rncur = -d2; - - *k_nl = rknl; - - //fprintf(stderr,"Here\n"); - - for (index_k = 0; index_k < pnl->k_size; index_k++){ - - rk = pnl->k[index_k]; - - if (rk > ppr->halofit_min_k_nonlinear) { - - pk_lin = pk_l[index_k]*pow(pnl->k[index_k],3)*anorm; - - /* in original halofit, this is the beginning of the function halofit() */ - - /*SPB11: Standard halofit underestimates the power on the smallest - * scales by a factor of two. Add an extra correction from the - * simulations in Bird, Viel,Haehnelt 2011 which partially accounts for - * this.*/ - /*SPB14: This version of halofit is an updated version of the fit to the massive neutrinos - * based on the results of Takahashi 2012, (arXiv:1208.2701). - */ - gam=0.1971-0.0843*rneff+0.8460*rncur; - a=1.5222+2.8553*rneff+2.3706*rneff*rneff+0.9903*rneff*rneff*rneff+ 0.2250*rneff*rneff*rneff*rneff-0.6038*rncur+0.1749*Omega_v*(1.+w0); - a=pow(10,a); - b=pow(10, (-0.5642+0.5864*rneff+0.5716*rneff*rneff-1.5474*rncur+0.2279*Omega_v*(1.+w0))); - c=pow(10, 0.3698+2.0404*rneff+0.8161*rneff*rneff+0.5869*rncur); - xmu=0.; - xnu=pow(10,5.2105+3.6902*rneff); - alpha=fabs(6.0835+1.3373*rneff-0.1959*rneff*rneff-5.5274*rncur); - beta=2.0379-0.7354*rneff+0.3157*pow(rneff,2)+1.2490*pow(rneff,3)+0.3980*pow(rneff,4)-0.1682*rncur + fnu*(1.081 + 0.395*pow(rneff,2)); - - if(fabs(1-Omega_m)>0.01) { /*then omega evolution */ - f1a=pow(Omega_m,(-0.0732)); - f2a=pow(Omega_m,(-0.1423)); - f3a=pow(Omega_m,(0.0725)); - f1b=pow(Omega_m,(-0.0307)); - f2b=pow(Omega_m,(-0.0585)); - f3b=pow(Omega_m,(0.0743)); - frac=Omega_v/(1.-Omega_m); - f1=frac*f1b + (1-frac)*f1a; - f2=frac*f2b + (1-frac)*f2a; - f3=frac*f3b + (1-frac)*f3a; - } - else { - f1=1.; - f2=1.; - f3=1.; - } - - y=(rk/rknl); - pk_halo = a*pow(y,f1*3.)/(1.+b*pow(y,f2)+pow(f3*c*y,3.-gam)); - pk_halo=pk_halo/(1+xmu*pow(y,-1)+xnu*pow(y,-2))*(1+fnu*(0.977-18.015*(Omega0_m-0.3))); - // rk is in 1/Mpc, 47.48and 1.5 in Mpc**-2, so we need an h**2 here (Credits Antonio J. Cuesta) - pk_linaa=pk_lin*(1+fnu*47.48*pow(rk/pba->h,2)/(1+1.5*pow(rk/pba->h,2))); - pk_quasi=pk_lin*pow((1+pk_linaa),beta)/(1+pk_linaa*alpha)*exp(-y/4.0-pow(y,2)/8.0); - - pk_nl[index_k] = (pk_halo+pk_quasi)/pow(pnl->k[index_k],3)/anorm; - - /* in original halofit, this is the end of the function halofit() */ - } - else { - pk_nl[index_k] = pk_l[index_k]; - } - } - - free(pvecback); - free(integrand_array); - return _SUCCESS_; -} - -/** - * Internal routione of Halofit. In original Halofit, this is - * equivalent to the function wint() -*/ - -int nonlinear_halofit_integrate( - struct nonlinear *pnl, - double * integrand_array, - int integrand_size, - int ia_size, - int index_ia_k, - int index_ia_pk, - int index_ia_sum, - int index_ia_ddsum, - double R, - enum halofit_integral_type type, - double * sum - ) { - - double k,pk,x2,integrand; - int index_k; - double anorm = 1./(2*pow(_PI_,2)); - - for (index_k=0; index_k < integrand_size; index_k++) { - k = integrand_array[index_k*ia_size + index_ia_k]; - pk = integrand_array[index_k*ia_size + index_ia_pk]; - x2 = k*k*R*R; - - integrand = pk*k*k*anorm*exp(-x2); - if (type == halofit_integral_two) integrand *= 2.*x2; - if (type == halofit_integral_three) integrand *= 4.*x2*(1.-x2); - - integrand_array[index_k*ia_size + index_ia_sum] = integrand; - } - - /* fill in second derivatives */ - class_call(array_spline(integrand_array, - ia_size, - integrand_size, - index_ia_k, - index_ia_sum, - index_ia_ddsum, - _SPLINE_NATURAL_, - pnl->error_message), - pnl->error_message, - pnl->error_message); - - /* integrate */ - class_call(array_integrate_all_spline(integrand_array, - ia_size, - integrand_size, - index_ia_k, - index_ia_sum, - index_ia_ddsum, - sum, - pnl->error_message), - pnl->error_message, - pnl->error_message); - - return _SUCCESS_; -} diff --git a/source/output.c b/source/output.c old mode 100755 new mode 100644 index a403c718..bda35830 --- a/source/output.c +++ b/source/output.c @@ -6,7 +6,7 @@ * * The following functions can be called from other modules or from the main: * - * -# output_init() (must be called after spectra_init()) + * -# output_init() (must be called after harmonic_init()) * -# output_total_cl_at_l() (can be called even before output_init()) * * No memory needs to be deallocated after that, @@ -16,7 +16,7 @@ #include "output.h" int output_total_cl_at_l( - struct spectra * psp, + struct harmonic * phr, struct lensing * ple, struct output * pop, int l, @@ -24,7 +24,7 @@ int output_total_cl_at_l( ){ double ** cl_md_ic; /* array with argument - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */ + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct] */ double ** cl_md; /* array with argument cl_md[index_md][index_ct] */ @@ -41,42 +41,42 @@ int output_total_cl_at_l( else { class_alloc(cl_md_ic, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), pop->error_message); class_alloc(cl_md, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), pop->error_message); - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) class_alloc(cl_md[index_md], - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), ple->error_message); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) class_alloc(cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double), + phr->ic_ic_size[index_md]*phr->ct_size*sizeof(double), ple->error_message); } - class_call(spectra_cl_at_l(psp, - (double)l, - cl, - cl_md, - cl_md_ic), - psp->error_message, + class_call(harmonic_cl_at_l(phr, + (double)l, + cl, + cl_md, + cl_md_ic), + phr->error_message, pop->error_message); - for (index_md = 0; index_md < psp->md_size; index_md++) { + for (index_md = 0; index_md < phr->md_size; index_md++) { - if (psp->md_size > 1) + if (phr->md_size > 1) free(cl_md[index_md]); - if (psp->ic_size[index_md] > 1) + if (phr->ic_size[index_md] > 1) free(cl_md_ic[index_md]); } @@ -94,26 +94,28 @@ int output_total_cl_at_l( * This routine writes the output in files. * * - * @param pba Input: pointer to background structure (needed for calling spectra_pk_at_z()) + * @param pba Input: pointer to background structure (needed for calling harmonic_pk_at_z()) * @param pth Input: pointer to thermodynamics structure * @param ppt Input: pointer perturbation structure * @param ppm Input: pointer to primordial structure * @param ptr Input: pointer to transfer structure - * @param psp Input: pointer to spectra structure - * @param pnl Input: pointer to nonlinear structure + * @param phr Input: pointer to harmonic structure + * @param pfo Input: pointer to fourier structure * @param ple Input: pointer to lensing structure + * @param psd Input: pointer to distortions structure * @param pop Input: pointer to output structure */ int output_init( struct background * pba, - struct thermo * pth, - struct perturbs * ppt, + struct thermodynamics * pth, + struct perturbations * ppt, struct primordial * ppm, - struct transfers * ptr, - struct spectra * psp, - struct nonlinear * pnl, + struct transfer * ptr, + struct harmonic * phr, + struct fourier * pfo, struct lensing * ple, + struct distortions * psd, struct output * pop ) { @@ -135,7 +137,7 @@ int output_init( if (ppt->has_cls == _TRUE_) { - class_call(output_cl(pba,ppt,psp,ple,pop), + class_call(output_cl(pba,ppt,phr,ple,pop), pop->error_message, pop->error_message); } @@ -144,14 +146,16 @@ int output_init( if (ppt->has_pk_matter == _TRUE_) { - class_call(output_pk(pba,ppt,psp,pop), + class_call(output_pk(pba,ppt,pfo,pop,pk_linear), pop->error_message, pop->error_message); - if (pnl->method != nl_none) { - class_call(output_pk_nl(pba,ppt,psp,pop), + if (pfo->method != nl_none) { + + class_call(output_pk(pba,ppt,pfo,pop,pk_nonlinear), pop->error_message, pop->error_message); + } } @@ -159,9 +163,10 @@ int output_init( if ((ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { - class_call(output_tk(pba,ppt,psp,pop), + class_call(output_tk(pba,ppt,pop), pop->error_message, pop->error_message); + } /** - deal with background quantities */ @@ -186,7 +191,7 @@ int output_init( /** - deal with perturbation quantities */ - if (pop->write_perturbations == _TRUE_) { + if (pop->write_perturbations == _TRUE_ && ppt->has_perturbations) { class_call(output_perturbations(pba,ppt,pop), pop->error_message, @@ -196,7 +201,7 @@ int output_init( /** - deal with primordial spectra */ - if (pop->write_primordial == _TRUE_) { + if (pop->write_primordial == _TRUE_ && ppt->has_perturbations) { class_call(output_primordial(ppt,ppm,pop), pop->error_message, @@ -204,6 +209,24 @@ int output_init( } + /** - deal with heating */ + + if (pop->write_exotic_injection == _TRUE_ || pop->write_noninjection == _TRUE_) { + + class_call(output_heating(&(pth->in),&(psd->ni),pop), + pop->error_message, + pop->error_message); + } + + /** - deal with spectral distortions */ + + if (pop->write_distortions == _TRUE_) { + + class_call(output_distortions(psd,pop), + pop->error_message, + pop->error_message); + } + return _SUCCESS_; } @@ -213,15 +236,15 @@ int output_init( * * @param pba Input: pointer to background structure (needed for \f$ T_{cmb}\f$) * @param ppt Input: pointer perturbation structure - * @param psp Input: pointer to spectra structure + * @param phr Input: pointer to harmonic structure * @param ple Input: pointer to lensing structure * @param pop Input: pointer to output structure */ int output_cl( struct background * pba, - struct perturbs * ppt, - struct spectra * psp, + struct perturbations * ppt, + struct harmonic * phr, struct lensing * ple, struct output * pop ) { @@ -243,7 +266,7 @@ int output_cl( FILE * out_lensed; /* (will contain total lensed cl's) */ double ** cl_md_ic; /* array with argument - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */ + cl_md_ic[index_md][index_ic1_ic2*phr->ct_size+index_ct] */ double ** cl_md; /* array with argument cl_md[index_md][index_ct] */ @@ -261,53 +284,53 @@ int output_cl( /** - first, allocate all arrays of files and \f$ C_l\f$'s */ class_alloc(out_md_ic, - psp->md_size*sizeof(FILE * *), + phr->md_size*sizeof(FILE * *), pop->error_message); class_alloc(cl_md_ic, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), pop->error_message); class_alloc(out_md, - psp->md_size*sizeof(FILE *), + phr->md_size*sizeof(FILE *), pop->error_message); class_alloc(cl_md, - psp->md_size*sizeof(double *), + phr->md_size*sizeof(double *), pop->error_message); for (index_md = 0; index_md < ppt->md_size; index_md++) { class_alloc(out_md_ic[index_md], - psp->ic_ic_size[index_md]*sizeof(FILE *), + phr->ic_ic_size[index_md]*sizeof(FILE *), pop->error_message); } /** - second, open only the relevant files, and write a heading in each of them */ - sprintf(file_name,"%s%s",pop->root,"cl.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cl.dat"); - class_call(output_open_cl_file(psp, + class_call(output_open_cl_file(phr, pop, &out, file_name, "total [l(l+1)/2pi] C_l's", - psp->l_max_tot + phr->l_max_tot ), pop->error_message, pop->error_message); class_alloc(cl_tot, - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), pop->error_message); if (ple->has_lensed_cls == _TRUE_) { - sprintf(file_name,"%s%s",pop->root,"cl_lensed.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cl_lensed.dat"); - class_call(output_open_cl_file(psp, + class_call(output_open_cl_file(phr, pop, &out_lensed, file_name, @@ -324,30 +347,30 @@ int output_cl( if (_scalars_) { - sprintf(file_name,"%s%s",pop->root,"cls.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar mode"); } if (_tensors_) { - sprintf(file_name,"%s%s",pop->root,"clt.dat"); + class_sprintf(file_name,"%s%s",pop->root,"clt.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for tensor mode"); } - class_call(output_open_cl_file(psp, + class_call(output_open_cl_file(phr, pop, &(out_md[index_md]), file_name, first_line, - psp->l_max[index_md] + phr->l_max[index_md] ), pop->error_message, pop->error_message); class_alloc(cl_md[index_md], - psp->ct_size*sizeof(double), + phr->ct_size*sizeof(double), pop->error_message); } @@ -366,105 +389,105 @@ int output_cl( if ((ppt->has_ad == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_ad)) { - sprintf(file_name,"%s%s",pop->root,"cls_ad.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_ad.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar adiabatic (AD) mode"); } if ((ppt->has_bi == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_bi)) { - sprintf(file_name,"%s%s",pop->root,"cls_bi.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_bi.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar baryon isocurvature (BI) mode"); } if ((ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_cdi)) { - sprintf(file_name,"%s%s",pop->root,"cls_cdi.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_cdi.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar CDM isocurvature (CDI) mode"); } if ((ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_nid)) { - sprintf(file_name,"%s%s",pop->root,"cls_nid.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_nid.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar neutrino density isocurvature (NID) mode"); } if ((ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_niv) && (index_ic2 == ppt->index_ic_niv)) { - sprintf(file_name,"%s%s",pop->root,"cls_niv.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_niv.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar neutrino velocity isocurvature (NIV) mode"); } if ((ppt->has_ad == _TRUE_) && (ppt->has_bi == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_bi)) { - sprintf(file_name,"%s%s",pop->root,"cls_ad_bi.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_ad_bi.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross ADxBI mode"); } if ((ppt->has_ad == _TRUE_) && (ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_cdi)) { - sprintf(file_name,"%s%s",pop->root,"cls_ad_cdi.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_ad_cdi.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross ADxCDI mode"); } if ((ppt->has_ad == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_nid)) { - sprintf(file_name,"%s%s",pop->root,"cls_ad_nid.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_ad_nid.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross ADxNID mode"); } if ((ppt->has_ad == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_niv)) { - sprintf(file_name,"%s%s",pop->root,"cls_ad_niv.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_ad_niv.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross ADxNIV mode"); } if ((ppt->has_bi == _TRUE_) && (ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_cdi)) { - sprintf(file_name,"%s%s",pop->root,"cls_bi_cdi.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_bi_cdi.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross BIxCDI mode"); } if ((ppt->has_bi == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_nid)) { - sprintf(file_name,"%s%s",pop->root,"cls_bi_nid.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_bi_nid.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross BIxNID mode"); } if ((ppt->has_bi == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_niv)) { - sprintf(file_name,"%s%s",pop->root,"cls_bi_niv.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_bi_niv.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross BIxNIV mode"); } if ((ppt->has_cdi == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_nid)) { - sprintf(file_name,"%s%s",pop->root,"cls_cdi_nid.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_cdi_nid.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross CDIxNID mode"); } if ((ppt->has_cdi == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_niv)) { - sprintf(file_name,"%s%s",pop->root,"cls_cdi_niv.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_cdi_niv.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross CDIxNIV mode"); } if ((ppt->has_nid == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_niv)) { - sprintf(file_name,"%s%s",pop->root,"cls_nid_niv.dat"); + class_sprintf(file_name,"%s%s",pop->root,"cls_nid_niv.dat"); strcpy(first_line,"[l(l+1)/2pi] C_l's for scalar cross NIDxNIV mode"); } @@ -478,16 +501,16 @@ int output_cl( } - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,phr->ic_size[index_md]); - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + if (phr->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - class_call(output_open_cl_file(psp, + class_call(output_open_cl_file(phr, pop, &(out_md_ic[index_md][index_ic1_ic2]), file_name, first_line, - psp->l_max[index_md] + phr->l_max[index_md] ), pop->error_message, pop->error_message); @@ -497,22 +520,22 @@ int output_cl( } class_alloc(cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double), + phr->ic_ic_size[index_md]*phr->ct_size*sizeof(double), pop->error_message); } } /** - third, perform loop over l. For each multipole, get all \f$ C_l\f$'s - by calling spectra_cl_at_l() and distribute the results to + by calling harmonic_cl_at_l() and distribute the results to relevant files */ - for (l = 2; l <= psp->l_max_tot; l++) { + for (l = 2; l <= phr->l_max_tot; l++) { - class_call(spectra_cl_at_l(psp,(double)l,cl_tot,cl_md,cl_md_ic), - psp->error_message, + class_call(harmonic_cl_at_l(phr,(double)l,cl_tot,cl_md,cl_md_ic), + phr->error_message, pop->error_message); - class_call(output_one_line_of_cl(pba,psp,pop,out,(double)l,cl_tot,psp->ct_size), + class_call(output_one_line_of_cl(pba,phr,pop,out,(double)l,cl_tot,phr->ct_size), pop->error_message, pop->error_message); @@ -524,16 +547,16 @@ int output_cl( ple->error_message, pop->error_message); - class_call(output_one_line_of_cl(pba,psp,pop,out_lensed,l,cl_tot,psp->ct_size), + class_call(output_one_line_of_cl(pba,phr,pop,out_lensed,l,cl_tot,phr->ct_size), pop->error_message, pop->error_message); } if (ppt->md_size > 1) { for (index_md = 0; index_md < ppt->md_size; index_md++) { - if (l <= psp->l_max[index_md]) { + if (l <= phr->l_max[index_md]) { - class_call(output_one_line_of_cl(pba,psp,pop,out_md[index_md],l,cl_md[index_md],psp->ct_size), + class_call(output_one_line_of_cl(pba,phr,pop,out_md[index_md],l,cl_md[index_md],phr->ct_size), pop->error_message, pop->error_message); } @@ -541,11 +564,11 @@ int output_cl( } for (index_md = 0; index_md < ppt->md_size; index_md++) { - if ((ppt->ic_size[index_md] > 1) && (l <= psp->l_max[index_md])) { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + if ((ppt->ic_size[index_md] > 1) && (l <= phr->l_max[index_md])) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < phr->ic_ic_size[index_md]; index_ic1_ic2++) { + if (phr->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - class_call(output_one_line_of_cl(pba,psp,pop,out_md_ic[index_md][index_ic1_ic2],l,&(cl_md_ic[index_md][index_ic1_ic2*psp->ct_size]),psp->ct_size), + class_call(output_one_line_of_cl(pba,phr,pop,out_md_ic[index_md][index_ic1_ic2],l,&(cl_md_ic[index_md][index_ic1_ic2*phr->ct_size]),phr->ct_size), pop->error_message, pop->error_message); } @@ -558,8 +581,8 @@ int output_cl( for (index_md = 0; index_md < ppt->md_size; index_md++) { if (ppt->ic_size[index_md] > 1) { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < phr->ic_ic_size[index_md]; index_ic1_ic2++) { + if (phr->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { fclose(out_md_ic[index_md][index_ic1_ic2]); } } @@ -590,288 +613,208 @@ int output_cl( } /** - * This routines writes the output in files for Fourier matter power spectra P(k)'s. + * This routines writes the output in files for Fourier matter power spectra P(k)'s + * (linear or non-linear) * - * @param pba Input: pointer to background structure (needed for calling spectra_pk_at_z()) - * @param ppt Input: pointer perturbation structure - * @param psp Input: pointer to spectra structure - * @param pop Input: pointer to output structure + * @param pba Input: pointer to background structure (needed for calling harmonic_pk_at_z()) + * @param ppt Input: pointer perturbation structure + * @param pfo Input: pointer to fourier structure + * @param pop Input: pointer to output structure + * @param pk_output Input: pk_linear or pk_nonlinear */ int output_pk( struct background * pba, - struct perturbs * ppt, - struct spectra * psp, - struct output * pop + struct perturbations * ppt, + struct fourier * pfo, + struct output * pop, + enum pk_outputs pk_output ) { /** Summary: */ /** - define local variables */ - FILE ** out_ic=NULL; /* array of pointers to files with argument - out_ic[index_ic1_ic2] - (will contain P(k)'s for each pair of initial conditions) */ - - FILE * out; /* (will contain total P(k) summed eventually over initial conditions) */ - - double * pk_ic=NULL; /* array with argument - pk_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] */ + FILE ** out_pk_ic = NULL; /* out_pk_ic[index_ic1_ic2] is a pointer to a file with P(k) for each pair of ic */ + FILE * out_pk; /* out_pk[index_pk] is a pointer to a file with total P(k) summed over ic */ - double * pk_tot; /* array with argument - pk_tot[index_k] */ + double * ln_pk_ic = NULL; /* array ln_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2] */ + double * ln_pk; /* array ln_pk[index_k] */ - FILE ** out_cb_ic=NULL; /* same as out_ic for CDM+baryon only */ - FILE * out_cb; /* same as out for CDM+baryon only */ - - double * pk_cb_ic=NULL; /* same as pk_ic for CDM+baryon only */ - double * pk_cb_tot=NULL; /* same as pk_tot for CDM+baryon only */ - - int index_md; int index_ic1,index_ic2; int index_ic1_ic2=0; int index_k; int index_z; + int index_pk; FileName file_name; - FileName file_cb_name; + char redshift_suffix[7]; // 7 is enough to write "z%d_" as long as there are at most 10'000 bins + char type_suffix[9]; // 6 is enough to write "pk_cb_nl" plus closing character \0 char first_line[_LINE_LENGTH_MAX_]; + short do_ic = _FALSE_; - index_md=ppt->index_md_scalars; - - for (index_z = 0; index_z < pop->z_pk_num; index_z++) { + /** - preliminary: check whether we need to output the decomposition into contributions from each initial condition */ - /** - first, check that requested redshift z_pk is consistent */ + if ((pk_output == pk_linear) && (pfo->ic_size > 1)) + do_ic = _TRUE_; - class_test((pop->z_pk[index_z] > psp->z_max_pk), - pop->error_message, - "P(k,z) computed up to z=%f but requested at z=%f. Must increase z_max_pk in precision file.",psp->z_max_pk,pop->z_pk[index_z]); + /** - allocate arrays to store the P(k) */ - if (pop->z_pk_num == 1) - redshift_suffix[0]='\0'; - else - sprintf(redshift_suffix,"z%d_",index_z+1); - - /** - second, open only the relevant files and write a heading in each of them */ - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk.dat"); - if(pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb.dat"); - - class_call(output_open_pk_file(pba, - psp, - pop, - &out, - file_name, - "", - pop->z_pk[index_z] - ), - pop->error_message, - pop->error_message); + class_alloc(ln_pk, + pfo->k_size*sizeof(double), + pop->error_message); - if(pba->has_ncdm){ - class_call(output_open_pk_file(pba, - psp, - pop, - &out_cb, - file_cb_name, - "", - pop->z_pk[index_z] - ), - pop->error_message, - pop->error_message); - } + if (do_ic == _TRUE_) { - class_alloc(pk_tot, - psp->ln_k_size*sizeof(double), + class_alloc(ln_pk_ic, + pfo->k_size*pfo->ic_ic_size*sizeof(double), pop->error_message); - if(pba->has_ncdm){ - class_alloc(pk_cb_tot, - psp->ln_k_size*sizeof(double), - pop->error_message); - } - - if (psp->ic_size[index_md] > 1) { - - class_alloc(out_ic, - psp->ic_ic_size[index_md]*sizeof(FILE *), - pop->error_message); - - class_alloc(pk_ic, - psp->ln_k_size*psp->ic_ic_size[index_md]*sizeof(double), - pop->error_message); - - if (pba->has_ncdm){ - class_alloc(out_cb_ic, - psp->ic_ic_size[index_md]*sizeof(FILE *), - pop->error_message); - - class_alloc(pk_cb_ic, - psp->ln_k_size*psp->ic_ic_size[index_md]*sizeof(double), - pop->error_message); - } + /** - allocate pointer to output files */ - for (index_ic1 = 0; index_ic1 < ppt->ic_size[index_md]; index_ic1++) { - - for (index_ic2 = index_ic1; index_ic2 < ppt->ic_size[index_md]; index_ic2++) { - - if ((ppt->has_ad == _TRUE_) && - (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_ad)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_ad.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ad.dat"); - - strcpy(first_line,"for adiabatic (AD) mode "); - } - - if ((ppt->has_bi == _TRUE_) && - (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_bi)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_bi.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_bi.dat"); - - strcpy(first_line,"for baryon isocurvature (BI) mode "); - } - - if ((ppt->has_cdi == _TRUE_) && - (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_cdi)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_cdi.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_cdi.dat"); - - strcpy(first_line,"for CDM isocurvature (CDI) mode "); - } - - if ((ppt->has_nid == _TRUE_) && - (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_nid)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_nid.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_nid.dat"); - - strcpy(first_line,"for neutrino density isocurvature (NID) mode "); - } - - if ((ppt->has_niv == _TRUE_) && - (index_ic1 == ppt->index_ic_niv) && (index_ic2 == ppt->index_ic_niv)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_niv.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_niv.dat"); - - strcpy(first_line,"for neutrino velocity isocurvature (NIV) mode "); - } - - if ((ppt->has_ad == _TRUE_) && - (ppt->has_bi == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_bi)) { + class_alloc(out_pk_ic, + pfo->ic_ic_size*sizeof(FILE *), + pop->error_message); + } - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_ad_bi.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ad_bi.dat"); + /** - loop over pk type (_cb, _m) */ - strcpy(first_line,"for cross ADxBI mode "); - } + for (index_pk=0; index_pkpk_size; index_pk++) { - if ((ppt->has_ad == _TRUE_) && (ppt->has_cdi == _TRUE_) && - (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_cdi)) { - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_ad_cdi.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ad_cdi.dat"); + if ((pfo->has_pk_m == _TRUE_) && (index_pk == pfo->index_pk_m)) { + if (pk_output == pk_linear) + class_sprintf(type_suffix,"pk"); + else + class_sprintf(type_suffix,"pk_nl"); + } + if ((pfo->has_pk_cb == _TRUE_) && (index_pk == pfo->index_pk_cb)) { + if (pk_output == pk_linear) + class_sprintf(type_suffix,"pk_cb"); + else + class_sprintf(type_suffix,"pk_cb_nl"); + } - strcpy(first_line,"for cross ADxCDI mode "); - } + /** - loop over z */ - if ((ppt->has_ad == _TRUE_) && (ppt->has_nid == _TRUE_) && - (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_nid)) { + for (index_z = 0; index_z < pop->z_pk_num; index_z++) { - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_ad_nid.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ad_nid.dat"); + /** - first, check that requested redshift z_pk is consistent */ - strcpy(first_line,"for scalar cross ADxNID mode "); - } + class_test((pop->z_pk[index_z] > ppt->z_max_pk), + pop->error_message, + "P(k,z) computed up to z=%f but requested at z=%f. Must increase z_max_pk in precision file.",ppt->z_max_pk,pop->z_pk[index_z]); - if ((ppt->has_ad == _TRUE_) && (ppt->has_niv == _TRUE_) && - (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_niv)) { + if (pop->z_pk_num == 1) + redshift_suffix[0]='\0'; + else + class_sprintf(redshift_suffix,"z%d_",index_z+1); - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_ad_niv.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ad_niv.dat"); + /** - second, open only the relevant files and write a header in each of them */ - strcpy(first_line,"for cross ADxNIV mode "); - } + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,".dat"); - if ((ppt->has_bi == _TRUE_) && (ppt->has_cdi == _TRUE_) && - (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_cdi)) { + class_call(output_open_pk_file(pba, + pfo, + pop, + &out_pk, + file_name, + "", + pop->z_pk[index_z] + ), + pop->error_message, + pop->error_message); - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_bi_cdi.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_bi_cdi.dat"); + if (do_ic == _TRUE_) { - strcpy(first_line,"for cross BIxCDI mode "); - } + for (index_ic1 = 0; index_ic1 < pfo->ic_size; index_ic1++) { - if ((ppt->has_bi == _TRUE_) && (ppt->has_nid == _TRUE_) && - (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_nid)) { + for (index_ic2 = index_ic1; index_ic2 < pfo->ic_size; index_ic2++) { - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_bi_nid.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_bi_nid.dat"); + if ((ppt->has_ad == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_ad)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_ad.dat"); + strcpy(first_line,"for adiabatic (AD) mode "); + } - strcpy(first_line,"for cross BIxNID mode "); - } + if ((ppt->has_bi == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_bi)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_bi.dat"); + strcpy(first_line,"for baryon isocurvature (BI) mode "); + } - if ((ppt->has_bi == _TRUE_) && (ppt->has_niv == _TRUE_) && - (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_niv)) { + if ((ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_cdi)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_cdi.dat"); + strcpy(first_line,"for CDM isocurvature (CDI) mode "); + } - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_bi_niv.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_ni_niv.dat"); + if ((ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_nid)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_nid.dat"); + strcpy(first_line,"for neutrino density isocurvature (NID) mode "); + } - strcpy(first_line,"for cross BIxNIV mode "); - } + if ((ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_niv) && (index_ic2 == ppt->index_ic_niv)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_niv.dat"); + strcpy(first_line,"for neutrino velocity isocurvature (NIV) mode "); + } - if ((ppt->has_cdi == _TRUE_) && (ppt->has_nid == _TRUE_) && - (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_nid)) { + if ((ppt->has_ad == _TRUE_) && (ppt->has_bi == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_bi)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_ad_bi.dat"); + strcpy(first_line,"for cross ADxBI mode "); + } - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_cdi_nid.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_cdi_nid.dat"); + if ((ppt->has_ad == _TRUE_) && (ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_cdi)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_ad_cdi.dat"); + strcpy(first_line,"for cross ADxCDI mode "); + } - strcpy(first_line,"for cross CDIxNID mode "); - } + if ((ppt->has_ad == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_nid)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_ad_nid.dat"); + strcpy(first_line,"for scalar cross ADxNID mode "); + } - if ((ppt->has_cdi == _TRUE_) && (ppt->has_niv == _TRUE_) && - (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_niv)) { + if ((ppt->has_ad == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_ad) && (index_ic2 == ppt->index_ic_niv)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_ad_niv.dat"); + strcpy(first_line,"for cross ADxNIV mode "); + } - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_cdi_niv.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_cdi_niv.dat"); + if ((ppt->has_bi == _TRUE_) && (ppt->has_cdi == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_cdi)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_bi_cdi.dat"); + strcpy(first_line,"for cross BIxCDI mode "); + } - strcpy(first_line,"for cross CDIxNIV mode "); - } + if ((ppt->has_bi == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_nid)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_bi_nid.dat"); + strcpy(first_line,"for cross BIxNID mode "); + } - if ((ppt->has_nid == _TRUE_) && (ppt->has_niv == _TRUE_) && - (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_niv)) { + if ((ppt->has_bi == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_bi) && (index_ic2 == ppt->index_ic_niv)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_bi_niv.dat"); + strcpy(first_line,"for cross BIxNIV mode "); + } - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_nid_niv.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_nid_niv.dat"); + if ((ppt->has_cdi == _TRUE_) && (ppt->has_nid == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_nid)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_cdi_nid.dat"); + strcpy(first_line,"for cross CDIxNID mode "); + } - strcpy(first_line,"for cross NIDxNIV mode "); - } + if ((ppt->has_cdi == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_cdi) && (index_ic2 == ppt->index_ic_niv)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_cdi_niv.dat"); + strcpy(first_line,"for cross CDIxNIV mode "); + } - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); + if ((ppt->has_nid == _TRUE_) && (ppt->has_niv == _TRUE_) && (index_ic1 == ppt->index_ic_nid) && (index_ic2 == ppt->index_ic_niv)) { + class_sprintf(file_name,"%s%s%s%s",pop->root,redshift_suffix,type_suffix,"_nid_niv.dat"); + strcpy(first_line,"for cross NIDxNIV mode "); + } - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,pfo->ic_size); - class_call(output_open_pk_file(pba, - psp, - pop, - &(out_ic[index_ic1_ic2]), - file_name, - first_line, - pop->z_pk[index_z] - ), - pop->error_message, - pop->error_message); + if (pfo->is_non_zero[index_ic1_ic2] == _TRUE_) { - if (pba->has_ncdm) { class_call(output_open_pk_file(pba, - psp, + pfo, pop, - &(out_cb_ic[index_ic1_ic2]), - file_cb_name, + &(out_pk_ic[index_ic1_ic2]), + file_name, first_line, pop->z_pk[index_z] ), @@ -881,298 +824,85 @@ int output_pk( } } } - } - - /** - third, compute P(k) for each k (if several ic's, compute it for each ic and compute also the total); if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau. */ - - /* if z_pk = 0, no interpolation needed */ - - if (pop->z_pk[index_z] == 0.) { - - for (index_k=0; index_kln_k_size; index_k++) { - - if (psp->ic_size[index_md] == 1) { - pk_tot[index_k] = exp(psp->ln_pk[(psp->ln_tau_size-1) * psp->ln_k_size + index_k]); - if (pba->has_ncdm) pk_cb_tot[index_k] = exp(psp->ln_pk_cb[(psp->ln_tau_size-1) * psp->ln_k_size + index_k]); - } - else { - pk_tot[index_k] = 0.; - if (pba->has_ncdm) pk_cb_tot[index_k] = 0.; - for (index_ic1=0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md]); - pk_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = exp(psp->ln_pk[((psp->ln_tau_size-1) * psp->ln_k_size + index_k) * psp->ic_ic_size[index_md] + index_ic1_ic2]); - pk_tot[index_k] += pk_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - - if(pba->has_ncdm){ - pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = exp(psp->ln_pk_cb[((psp->ln_tau_size-1) * psp->ln_k_size + index_k) * psp->ic_ic_size[index_md] + index_ic1_ic2]); - pk_cb_tot[index_k] += pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - } - } - for (index_ic1=0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1+1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - pk_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] = - psp->ln_pk[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] - *sqrt(pk_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])] * - pk_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - pk_tot[index_k] += 2.*pk_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - - if(pba->has_ncdm){ - pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] = - psp->ln_pk_cb[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] - *sqrt(pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])] * - pk_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - pk_cb_tot[index_k] += 2.*pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - } - } - } - } - } - } - /* if 0 <= z_pk <= z_max_pk, interpolation needed, */ - else { + /** - third, compute P(k) for each k */ - class_call(spectra_pk_at_z(pba, - psp, - linear, + class_call(fourier_pk_at_z(pba, + pfo, + logarithmic, + pk_output, pop->z_pk[index_z], - pk_tot, - pk_ic, - pk_cb_tot, - pk_cb_ic), - psp->error_message, + index_pk, + ln_pk, + ln_pk_ic + ), + pfo->error_message, pop->error_message); - } - /** - fourth, write in files */ + /** - fourth, write in files */ - for (index_k=0; index_kln_k_size; index_k++) { + for (index_k=0; index_kk_size; index_k++) { - class_call(output_one_line_of_pk(out, - exp(psp->ln_k[index_k])/pba->h, - pk_tot[index_k]*pow(pba->h,3)), - pop->error_message, - pop->error_message); - - if(pba->has_ncdm){ - class_call(output_one_line_of_pk(out_cb, - exp(psp->ln_k[index_k])/pba->h, - pk_cb_tot[index_k]*pow(pba->h,3)), + class_call(output_one_line_of_pk(out_pk, + exp(pfo->ln_k[index_k])/pba->h, + exp(ln_pk[index_k])*pow(pba->h,3) + ), pop->error_message, pop->error_message); - } - if (psp->ic_size[index_md] > 1) { + if (do_ic == _TRUE_) { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) { - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { + if (pfo->is_non_zero[index_ic1_ic2] == _TRUE_) { - class_call(output_one_line_of_pk(out_ic[index_ic1_ic2], - exp(psp->ln_k[index_k])/pba->h, - pk_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]*pow(pba->h,3)), - pop->error_message, - pop->error_message); - - if(pba->has_ncdm){ - class_call(output_one_line_of_pk(out_cb_ic[index_ic1_ic2], - exp(psp->ln_k[index_k])/pba->h, - pk_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]*pow(pba->h,3)), + class_call(output_one_line_of_pk(out_pk_ic[index_ic1_ic2], + exp(pfo->ln_k[index_k])/pba->h, + exp(ln_pk_ic[index_k * pfo->ic_ic_size + index_ic1_ic2])*pow(pba->h,3)), pop->error_message, pop->error_message); - } } } - } - } + } /* end loop over k */ - /** - fifth, free memory and close files */ + /** - fifth, close files */ - free(pk_tot); - if(pba->has_ncdm) free(pk_cb_tot); - fclose(out); - if(pba->has_ncdm) fclose(out_cb); + fclose(out_pk); - if (psp->ic_size[index_md] > 1) { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - fclose(out_ic[index_ic1_ic2]); - if(pba->has_ncdm) fclose(out_cb_ic[index_ic1_ic2]); + if (do_ic == _TRUE_) { + for (index_ic1_ic2 = 0; index_ic1_ic2 < pfo->ic_ic_size; index_ic1_ic2++) { + if (pfo->is_non_zero[index_ic1_ic2] == _TRUE_) { + fclose(out_pk_ic[index_ic1_ic2]); + } } } - free(out_ic); - if(pba->has_ncdm) free(out_cb_ic); - free(pk_ic); - if(pba->has_ncdm) free(pk_cb_ic); - } - } - - return _SUCCESS_; - -} - -/** - * This routines writes the output in files for Fourier non-linear matter power spectra P(k)'s. - * - * @param pba Input: pointer to background structure (needed for calling spectra_pk_at_z()) - * @param ppt Input: pointer perturbation structure - * @param psp Input: pointer to spectra structure - * @param pop Input: pointer to output structure - */ - -int output_pk_nl( - struct background * pba, - struct perturbs * ppt, - struct spectra * psp, - struct output * pop - ) { - - /** Summary: */ - - /** - define local variables */ - - FILE * out; /* (will contain total P(k) summed eventually over initial conditions) */ - - double * pk_tot; /* array with argument pk_tot[index_k] */ - - FILE * out_cb; - double * pk_cb_tot=NULL; - - int index_k; - int index_z; - - FileName file_name; - FileName file_cb_name; - char redshift_suffix[7]; // 7 is enough to write "z%d_" as long as there are at most 10'000 bins - - for (index_z = 0; index_z < pop->z_pk_num; index_z++) { - - /** - first, check that requested redshift z_pk is consistent */ - - class_test((pop->z_pk[index_z] > psp->z_max_pk), - pop->error_message, - "P(k,z) computed up to z=%f but requested at z=%f. Must increase z_max_pk in precision file.",psp->z_max_pk,pop->z_pk[index_z]); - - if (pop->z_pk_num == 1) - redshift_suffix[0]='\0'; - else - sprintf(redshift_suffix,"z%d_",index_z+1); - - /** - second, open only the relevant files, and write a heading in each of them */ - - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"pk_nl.dat"); - if (pba->has_ncdm) sprintf(file_cb_name,"%s%s%s",pop->root,redshift_suffix,"pk_cb_nl.dat"); - - class_call(output_open_pk_file(pba, - psp, - pop, - &out, - file_name, - "", - pop->z_pk[index_z] - ), - pop->error_message, - pop->error_message); - - if (pba->has_ncdm){ - class_call(output_open_pk_file(pba, - psp, - pop, - &out_cb, - file_cb_name, - "", - pop->z_pk[index_z] - ), - pop->error_message, - pop->error_message); - } - - class_alloc(pk_tot, - psp->ln_k_size*sizeof(double), - pop->error_message); - - if (pba->has_ncdm){ - class_alloc(pk_cb_tot, - psp->ln_k_size*sizeof(double), - pop->error_message); - } - - /** - third, compute P(k) for each k (if several ic's, compute it for each ic and compute also the total); if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau. */ - - /* if z_pk = 0, no interpolation needed */ - - if (pop->z_pk[index_z] == 0.) { - - for (index_k=0; index_kln_k_size; index_k++) { - - pk_tot[index_k] = exp(psp->ln_pk_nl[(psp->ln_tau_nl_size-1) * psp->ln_k_size + index_k]); - - if (pba->has_ncdm) pk_cb_tot[index_k] = exp(psp->ln_pk_cb_nl[(psp->ln_tau_nl_size-1) * psp->ln_k_size + index_k]); - - } - } - - /* if 0 <= z_pk <= z_max_pk, interpolation needed, */ - else { - - class_call(spectra_pk_nl_at_z(pba, - psp, - linear, - pop->z_pk[index_z], - pk_tot, - pk_cb_tot), - psp->error_message, - pop->error_message); - } - - /** - fourth, write in files */ - - for (index_k=0; index_kln_k_size; index_k++) { - - class_call(output_one_line_of_pk(out, - exp(psp->ln_k[index_k])/pba->h, - pk_tot[index_k]*pow(pba->h,3)), - pop->error_message, - pop->error_message); - - if (pba->has_ncdm){ - class_call(output_one_line_of_pk(out_cb, - exp(psp->ln_k[index_k])/pba->h, - pk_cb_tot[index_k]*pow(pba->h,3)), - pop->error_message, - pop->error_message); - } - } + } /* end loop over index_z */ - /** - fifth, free memory and close files */ - - fclose(out); - if (pba->has_ncdm) fclose(out_cb); - free(pk_tot); - if (pba->has_ncdm) free(pk_cb_tot); + } /* end loop over index_pk */ + /* free arrays and pointers */ + free(ln_pk); + if (pk_output == pk_linear) { + free(ln_pk_ic); + free(out_pk_ic); } return _SUCCESS_; - } - /** * This routines writes the output in files for matter transfer functions \f$ T_i(k)\f$'s. * - * @param pba Input: pointer to background structure (needed for calling spectra_pk_at_z()) + * @param pba Input: pointer to background structure (needed for calling harmonic_pk_at_z()) * @param ppt Input: pointer perturbation structure - * @param psp Input: pointer to spectra structure * @param pop Input: pointer to output structure */ int output_tk( struct background * pba, - struct perturbs * ppt, - struct spectra * psp, + struct perturbations * ppt, struct output * pop ) { @@ -1194,7 +924,7 @@ int output_tk( FileName file_name; char redshift_suffix[7]; // 7 is enough to write "z%d_" as long as there are at most 10'000 bins char first_line[_LINE_LENGTH_MAX_]; - char ic_suffix[4]; // 4 is enough to write "ad", "bi", "cdi", "nid", "niv", ... + char ic_suffix[_SUFFIXNAMESIZE_]; // 4 is enough to write "ad", "bi", "cdi", "nid", "niv", ... index_md=ppt->index_md_scalars; @@ -1211,13 +941,13 @@ int output_tk( } - class_call(spectra_output_tk_titles(pba,ppt,pop->output_format,titles), + class_call(perturbations_output_titles(pba,ppt,pop->output_format,titles), pba->error_message, pop->error_message); number_of_titles = get_number_of_titles(titles); - size_data = number_of_titles*psp->ln_k_size; + size_data = number_of_titles*ppt->k_size[index_md]; - class_alloc(data, sizeof(double)*psp->ic_size[index_md]*size_data, pop->error_message); + class_alloc(data, sizeof(double)*ppt->ic_size[index_md]*size_data, pop->error_message); for (index_z = 0; index_z < pop->z_pk_num; index_z++) { @@ -1225,45 +955,44 @@ int output_tk( /** - first, check that requested redshift z_pk is consistent */ - class_test((pop->z_pk[index_z] > psp->z_max_pk), + class_test((pop->z_pk[index_z] > ppt->z_max_pk), pop->error_message, - "T_i(k,z) computed up to z=%f but requested at z=%f. Must increase z_max_pk in precision file.",psp->z_max_pk,pop->z_pk[index_z]); + "T_i(k,z) computed up to z=%f but requested at z=%f. Must increase z_max_pk in precision file.",ppt->z_max_pk,pop->z_pk[index_z]); if (pop->z_pk_num == 1) redshift_suffix[0]='\0'; else - sprintf(redshift_suffix,"z%d_",index_z+1); + class_sprintf(redshift_suffix,"z%d_",index_z+1); /** - second, open only the relevant files, and write a heading in each of them */ - class_call(spectra_output_tk_data(pba, - ppt, - psp, - pop->output_format, - pop->z_pk[index_z], - number_of_titles, - data - ), - psp->error_message, + class_call(perturbations_output_data_at_z(pba, + ppt, + pop->output_format, + pop->z_pk[index_z], + number_of_titles, + data + ), + ppt->error_message, pop->error_message); for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { - class_call(spectra_firstline_and_ic_suffix(ppt, index_ic, first_line, ic_suffix), - pop->error_message, pop->error_message); + class_call(perturbations_output_firstline_and_ic_suffix(ppt, index_ic, first_line, ic_suffix), + ppt->error_message, pop->error_message); if ((ppt->has_ad == _TRUE_) && (ppt->ic_size[index_md] == 1) ) - sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"tk.dat"); + class_sprintf(file_name,"%s%s%s",pop->root,redshift_suffix,"tk.dat"); else - sprintf(file_name,"%s%s%s%s%s",pop->root,redshift_suffix,"tk_",ic_suffix,".dat"); + class_sprintf(file_name,"%s%s%s%s%s",pop->root,redshift_suffix,"tk_",ic_suffix,".dat"); class_open(tkfile, file_name, "w", pop->error_message); if (pop->write_header == _TRUE_) { if (pop->output_format == class_format) { fprintf(tkfile,"# Transfer functions T_i(k) %sat redshift z=%g\n",first_line,z); - fprintf(tkfile,"# for k=%g to %g h/Mpc,\n",exp(psp->ln_k[0])/pba->h,exp(psp->ln_k[psp->ln_k_size-1])/pba->h); - fprintf(tkfile,"# number of wavenumbers equal to %d\n",psp->ln_k_size); + fprintf(tkfile,"# for k=%g to %g h/Mpc,\n",ppt->k[index_md][0]/pba->h,ppt->k[index_md][ppt->k_size[index_md]-1]/pba->h); + fprintf(tkfile,"# number of wavenumbers equal to %d\n",ppt->k_size[index_md]); if (ppt->has_density_transfers == _TRUE_) { fprintf(tkfile,"# d_i stands for (delta rho_i/rho_i)(k,z) with above normalization \n"); fprintf(tkfile,"# d_tot stands for (delta rho_tot/rho_tot)(k,z) with rho_Lambda NOT included in rho_tot\n"); @@ -1279,8 +1008,8 @@ int output_tk( else if (pop->output_format == camb_format) { fprintf(tkfile,"# Rescaled matter transfer functions [-T_i(k)/k^2] %sat redshift z=%g\n",first_line,z); - fprintf(tkfile,"# for k=%g to %g h/Mpc,\n",exp(psp->ln_k[0])/pba->h,exp(psp->ln_k[psp->ln_k_size-1])/pba->h); - fprintf(tkfile,"# number of wavenumbers equal to %d\n",psp->ln_k_size); + fprintf(tkfile,"# for k=%g to %g h/Mpc,\n",ppt->k[index_md][0]/pba->h,ppt->k[index_md][ppt->k_size[index_md]-1]/pba->h); + fprintf(tkfile,"# number of wavenumbers equal to %d\n",ppt->k_size[index_md]); fprintf(tkfile,"# T_i stands for (delta rho_i/rho_i)(k,z) with above normalization \n"); fprintf(tkfile,"# The rescaling factor [-1/k^2] with k in 1/Mpc is here to match the CMBFAST/CAMB output convention\n"); fprintf(tkfile,"#\n"); @@ -1332,7 +1061,7 @@ int output_background( pba->error_message, pop->error_message); - sprintf(file_name,"%s%s",pop->root,"background.dat"); + class_sprintf(file_name,"%s%s",pop->root,"background.dat"); class_open(backfile,file_name,"w",pop->error_message); if (pop->write_header == _TRUE_) { @@ -1361,7 +1090,7 @@ int output_background( int output_thermodynamics( struct background * pba, - struct thermo * pth, + struct thermodynamics * pth, struct output * pop ) { @@ -1384,21 +1113,31 @@ int output_thermodynamics( pth->error_message, pop->error_message); - sprintf(file_name,"%s%s",pop->root,"thermodynamics.dat"); + class_sprintf(file_name,"%s%s",pop->root,"thermodynamics.dat"); class_open(thermofile,file_name,"w",pop->error_message); if (pop->write_header == _TRUE_) { fprintf(thermofile,"# Table of selected thermodynamics quantities\n"); fprintf(thermofile,"# The following notation is used in column titles:\n"); - fprintf(thermofile,"# x_e = electron ionization fraction\n"); - fprintf(thermofile,"# -kappa = optical depth\n"); - fprintf(thermofile,"# kappa' = Thomson scattering rate, prime denotes conformal time derivatives\n"); - fprintf(thermofile,"# g = kappa' e^-kappa = visibility function \n"); - fprintf(thermofile,"# Tb = baryon temperature \n"); - fprintf(thermofile,"# c_b^2 = baryon sound speed squared \n"); - fprintf(thermofile,"# tau_d = baryon drag optical depth \n"); - if (pth->compute_damping_scale == _TRUE_) { - fprintf(thermofile,"# r_d = simplest analytic approximation to photon comoving damping scale \n"); + fprintf(thermofile,"# x_e = electron ionization fraction\n"); + fprintf(thermofile,"# -kappa = optical depth\n"); + fprintf(thermofile,"# kappa' = Thomson scattering rate, prime denotes conformal time derivatives\n"); + fprintf(thermofile,"# g = kappa' e^-kappa = visibility function \n"); + fprintf(thermofile,"# Tb = baryon temperature \n"); + fprintf(thermofile,"# w_b = baryon equation of state parameter \n"); + fprintf(thermofile,"# c_b^2 = baryon sound speed squared \n"); + fprintf(thermofile,"# tau_d = baryon drag optical depth \n"); + if (pth->compute_damping_scale == _TRUE_) + fprintf(thermofile,"# r_d = approximate comoving value of photon damping scale \n"); + if (pth->has_idm_dr == _TRUE_) { + fprintf(thermofile,"# dmu_idm_dr = scattering rate of idr with idm_dr (i.e. idr opacity to idm_dr scattering) (units 1/Mpc)\n"); + fprintf(thermofile,"# ddmu_idm_dr = derivative of this rate\n"); + fprintf(thermofile,"# tau_idm_dr = optical depth of idm_dr (due to interactions with idr) \n"); + fprintf(thermofile,"# tau_idr = optical depth of idr (due to self-interactions) \n"); + fprintf(thermofile,"# g_idm_dr = visibility function of idm_idr \n"); + fprintf(thermofile,"# c_idm_dr^2 = interacting dark matter squared sound speed \n"); + fprintf(thermofile,"# T_idm_dr = temperature of DM interacting with DR \n"); + fprintf(thermofile,"# dmu_idr = idr self-interaction rate \n"); } } @@ -1417,7 +1156,7 @@ int output_thermodynamics( int output_perturbations( struct background * pba, - struct perturbs * ppt, + struct perturbations * ppt, struct output * pop ) { @@ -1431,7 +1170,7 @@ int output_perturbations( if (ppt->has_scalars == _TRUE_){ index_md = ppt->index_md_scalars; k = ppt->k[index_md][ppt->index_k_output_values[index_md*ppt->k_output_values_num+index_ikout]]; - sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_s.dat"); + class_sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_s.dat"); class_open(out, file_name, "w", ppt->error_message); fprintf(out,"#scalar perturbations for mode k = %.*e Mpc^(-1)\n",_OUTPUTPRECISION_,k); output_print_data(out, @@ -1444,7 +1183,7 @@ int output_perturbations( if (ppt->has_vectors == _TRUE_){ index_md = ppt->index_md_vectors; k = ppt->k[index_md][ppt->index_k_output_values[index_md*ppt->k_output_values_num+index_ikout]]; - sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_v.dat"); + class_sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_v.dat"); class_open(out, file_name, "w", ppt->error_message); fprintf(out,"#vector perturbations for mode k = %.*e Mpc^(-1)\n",_OUTPUTPRECISION_,k); output_print_data(out, @@ -1457,7 +1196,7 @@ int output_perturbations( if (ppt->has_tensors == _TRUE_){ index_md = ppt->index_md_tensors; k = ppt->k[index_md][ppt->index_k_output_values[index_md*ppt->k_output_values_num+index_ikout]]; - sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_t.dat"); + class_sprintf(file_name,"%s%s%d%s",pop->root,"perturbations_k",index_ikout,"_t.dat"); class_open(out, file_name, "w", ppt->error_message); fprintf(out,"#tensor perturbations for mode k = %.*e Mpc^(-1)\n",_OUTPUTPRECISION_,k); output_print_data(out, @@ -1475,7 +1214,7 @@ int output_perturbations( } int output_primordial( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct output * pop ) { @@ -1485,7 +1224,7 @@ int output_primordial( double * data; int size_data, number_of_titles; - sprintf(file_name,"%s%s",pop->root,"primordial_Pk.dat"); + class_sprintf(file_name,"%s%s",pop->root,"primordial_Pk.dat"); class_call(primordial_output_titles(ppt,ppm,titles), ppm->error_message, @@ -1516,6 +1255,213 @@ int output_primordial( return _SUCCESS_; } +int output_heating(struct injection* pin, struct noninjection* pni, struct output * pop) { + + /** Local variables*/ + FileName file_name_injection; + FILE * out_injection; + FileName file_name_noninjection; + FILE * out_noninjection; + + char titles_injection[_MAXTITLESTRINGLENGTH_]={0}; + + double * data_injection; + int size_data_injection; + int number_of_titles_injection; + + char titles_noninjection[_MAXTITLESTRINGLENGTH_]={0}; + + double * data_noninjection; + int size_data_noninjection; + int number_of_titles_noninjection; + + if (pop->write_exotic_injection == _TRUE_){ + + /* File name */ + class_sprintf(file_name_injection,"%s%s",pop->root,"exotic_injection.dat"); + + /* Titles */ + class_call(injection_output_titles(pin,titles_injection), + pin->error_message, + pin->error_message); + number_of_titles_injection = get_number_of_titles(titles_injection); + + /* Data array */ + size_data_injection = number_of_titles_injection*pin->z_size; + class_alloc(data_injection, + sizeof(double)*size_data_injection, + pop->error_message); + class_call(injection_output_data(pin, + number_of_titles_injection, + data_injection), + pin->error_message, + pop->error_message); + + /* File IO */ + class_open(out_injection, + file_name_injection, + "w", + pop->error_message); + + if (pop->write_header == _TRUE_){ + fprintf(out_injection,"# Table of energy injection and deposition from exotic processes \n"); + fprintf(out_injection,"# Heat is dE/dt|dep_h\n"); + } + + output_print_data(out_injection, + titles_injection, + data_injection, + size_data_injection); + free(data_injection); + fclose(out_injection); + + } + + if (pop->write_noninjection == _TRUE_){ + + /* File name */ + class_sprintf(file_name_noninjection,"%s%s",pop->root,"photon_noninjection.dat"); + + /* Titles */ + class_call(noninjection_output_titles(pni,titles_noninjection), + pni->error_message, + pni->error_message); + number_of_titles_noninjection = get_number_of_titles(titles_noninjection); + + /* Data array */ + size_data_noninjection = number_of_titles_noninjection*pin->z_size; + class_alloc(data_noninjection, + sizeof(double)*size_data_noninjection, + pop->error_message); + class_call(noninjection_output_data(pni, + number_of_titles_noninjection, + data_noninjection), + pni->error_message, + pop->error_message); + + /* File IO */ + class_open(out_noninjection, + file_name_noninjection, + "w", + pop->error_message); + + if (pop->write_header == _TRUE_){ + fprintf(out_noninjection,"# Table of non-injected energy influencing the photon spectral distortions \n"); + } + + output_print_data(out_noninjection, + titles_noninjection, + data_noninjection, + size_data_noninjection); + free(data_noninjection); + fclose(out_noninjection); + + } + + return _SUCCESS_; +} + +int output_distortions( + struct distortions * psd, + struct output * pop + ) { + + /** Local variables*/ + FileName file_name_heat, file_name_distortion; + FILE * out_heat, * out_distortion; + + char titles_heat[_MAXTITLESTRINGLENGTH_]={0}; + char titles_distortion[_MAXTITLESTRINGLENGTH_]={0}; + + double * data_heat, * data_distortion; + int size_data_heat, size_data_distortion; + int number_of_titles_heat, number_of_titles_distortion; + + if (pop->write_distortions==_TRUE_ && psd->has_distortions == _TRUE_){ + + /* File name */ + class_sprintf(file_name_heat,"%s%s",pop->root,"sd_heating.dat"); + + /* Titles */ + class_call(distortions_output_heat_titles(psd,titles_heat), + psd->error_message, + pop->error_message); + number_of_titles_heat = get_number_of_titles(titles_heat); + + /* Data array */ + size_data_heat = number_of_titles_heat*psd->z_size; + class_alloc(data_heat, + sizeof(double)*size_data_heat, + pop->error_message); + class_call(distortions_output_heat_data(psd, + number_of_titles_heat, + data_heat), + psd->error_message, + pop->error_message); + + /* File IO */ + class_open(out_heat, + file_name_heat, + "w", + pop->error_message); + + if (pop->write_header == _TRUE_){ + fprintf(out_heat,"# Heat is d(Q/rho)/dz\n"); + fprintf(out_heat,"# LHeat is d(Q/rho)/dlnz\n"); + fprintf(out_heat,"#\n"); + } + + output_print_data(out_heat, + titles_heat, + data_heat, + size_data_heat); + free(data_heat); + fclose(out_heat); + + /* File name */ + class_sprintf(file_name_distortion,"%s%s",pop->root,"sd_distortions.dat"); + + /* Titles */ + class_call(distortions_output_sd_titles(psd,titles_distortion), + psd->error_message, + pop->error_message); + number_of_titles_distortion = get_number_of_titles(titles_distortion); + + /* Data array */ + size_data_distortion = number_of_titles_distortion*psd->x_size; + class_alloc(data_distortion, + sizeof(double)*size_data_distortion, + pop->error_message); + class_call(distortions_output_sd_data(psd, + number_of_titles_distortion, + data_distortion), + psd->error_message, + pop->error_message); + + /* File IO */ + class_open(out_distortion, + file_name_distortion, + "w", + pop->error_message); + + if (pop->write_header == _TRUE_){ + fprintf(out_distortion,"# SD_tot is the amplitude of the overall spectral distortion (SD)\n"); + fprintf(out_distortion,"# The SD[i] are the amplitudes of the individual SDs\n"); + fprintf(out_distortion,"# The SDs are given in units [10^-26 W m^-2 Hz^-1 sr^-1] \n"); + fprintf(out_distortion,"#\n"); + } + + output_print_data(out_distortion, + titles_distortion, + data_distortion, + size_data_distortion); + free(data_distortion); + fclose(out_distortion); + } + + return _SUCCESS_; +} + int output_print_data(FILE *out, char titles[_MAXTITLESTRINGLENGTH_], @@ -1558,7 +1504,7 @@ int output_print_data(FILE *out, * This routine opens one file where some \f$ C_l\f$'s will be written, and writes * a heading with some general information concerning its content. * - * @param psp Input: pointer to spectra structure + * @param phr Input: pointer to harmonic structure * @param pop Input: pointer to output structure * @param clfile Output: returned pointer to file pointer * @param filename Input: name of the file @@ -1568,7 +1514,7 @@ int output_print_data(FILE *out, */ int output_open_cl_file( - struct spectra * psp, + struct harmonic * phr, struct output * pop, FILE * * clfile, FileName filename, @@ -1603,7 +1549,7 @@ int output_open_cl_file( fprintf(*clfile,"# -> if you don't want to see such a header, set 'headers' to 'no' in input file\n"); - if (psp->has_pp == _TRUE_) { + if (phr->has_pp == _TRUE_) { if (pop->output_format == class_format) { fprintf(*clfile,"# -> for CMB lensing (phi), these are C_l^phi-phi for the lensing potential.\n"); } @@ -1612,11 +1558,11 @@ int output_open_cl_file( } } - if (psp->has_ll == _TRUE_) { + if (phr->has_ll == _TRUE_) { fprintf(*clfile,"# -> for galaxy lensing (lens[i]), these are C_l^phi-phi for the lensing potential.\n"); } - if (psp->has_pp == _TRUE_ || psp->has_ll == _TRUE_) { + if (phr->has_pp == _TRUE_ || phr->has_ll == _TRUE_) { fprintf(*clfile,"# Remember the conversion factors:\n"); fprintf(*clfile,"# C_l^dd (deflection) = l(l+1) C_l^phi-phi\n"); fprintf(*clfile,"# C_l^gg (shear/convergence) = 1/4 (l(l+1))^2 C_l^phi-phi\n"); @@ -1633,64 +1579,64 @@ int output_open_cl_file( colnum++; } if (pop->output_format == class_format) { - class_fprintf_columntitle(*clfile,"TT",psp->has_tt,colnum); - class_fprintf_columntitle(*clfile,"EE",psp->has_ee,colnum); - class_fprintf_columntitle(*clfile,"TE",psp->has_te,colnum); - class_fprintf_columntitle(*clfile,"BB",psp->has_bb,colnum); - class_fprintf_columntitle(*clfile,"phiphi",psp->has_pp,colnum); - class_fprintf_columntitle(*clfile,"TPhi",psp->has_tp,colnum); - class_fprintf_columntitle(*clfile,"Ephi",psp->has_ep,colnum); + class_fprintf_columntitle(*clfile,"TT",phr->has_tt,colnum); + class_fprintf_columntitle(*clfile,"EE",phr->has_ee,colnum); + class_fprintf_columntitle(*clfile,"TE",phr->has_te,colnum); + class_fprintf_columntitle(*clfile,"BB",phr->has_bb,colnum); + class_fprintf_columntitle(*clfile,"phiphi",phr->has_pp,colnum); + class_fprintf_columntitle(*clfile,"TPhi",phr->has_tp,colnum); + class_fprintf_columntitle(*clfile,"Ephi",phr->has_ep,colnum); } else if (pop->output_format == camb_format) { - class_fprintf_columntitle(*clfile,"TT",psp->has_tt,colnum); - class_fprintf_columntitle(*clfile,"EE",psp->has_ee,colnum); - class_fprintf_columntitle(*clfile,"BB",psp->has_bb,colnum); - class_fprintf_columntitle(*clfile,"TE",psp->has_te,colnum); - class_fprintf_columntitle(*clfile,"dd",psp->has_pp,colnum); - class_fprintf_columntitle(*clfile,"dT",psp->has_tp,colnum); - class_fprintf_columntitle(*clfile,"dE",psp->has_ep,colnum); + class_fprintf_columntitle(*clfile,"TT",phr->has_tt,colnum); + class_fprintf_columntitle(*clfile,"EE",phr->has_ee,colnum); + class_fprintf_columntitle(*clfile,"BB",phr->has_bb,colnum); + class_fprintf_columntitle(*clfile,"TE",phr->has_te,colnum); + class_fprintf_columntitle(*clfile,"dd",phr->has_pp,colnum); + class_fprintf_columntitle(*clfile,"dT",phr->has_tp,colnum); + class_fprintf_columntitle(*clfile,"dE",phr->has_ep,colnum); } /** - Next deal with entries that are independent of format type */ - if (psp->has_dd == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - for (index_d2=index_d1; index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++){ - sprintf(tmp,"dens[%d]-dens[%d]",index_d1+1,index_d2+1); + if (phr->has_dd == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + for (index_d2=index_d1; index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++){ + class_sprintf(tmp,"dens[%d]-dens[%d]",index_d1+1,index_d2+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } } - if (psp->has_td == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - sprintf(tmp,"T-dens[%d]",index_d1+1); + if (phr->has_td == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + class_sprintf(tmp,"T-dens[%d]",index_d1+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } - if (psp->has_pd == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - sprintf(tmp,"phi-dens[%d]",index_d1+1); + if (phr->has_pd == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + class_sprintf(tmp,"phi-dens[%d]",index_d1+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } - if (psp->has_ll == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - for (index_d2=index_d1; index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++){ - sprintf(tmp,"lens[%d]-lens[%d]",index_d1+1,index_d2+1); + if (phr->has_ll == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + for (index_d2=index_d1; index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++){ + class_sprintf(tmp,"lens[%d]-lens[%d]",index_d1+1,index_d2+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } } - if (psp->has_tl == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - sprintf(tmp,"T-lens[%d]",index_d1+1); + if (phr->has_tl == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + class_sprintf(tmp,"T-lens[%d]",index_d1+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } - if (psp->has_dl == _TRUE_){ - for (index_d1=0; index_d1d_size; index_d1++){ - for (index_d2=MAX(index_d1-psp->non_diag,0); index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++) { - sprintf(tmp,"dens[%d]-lens[%d]",index_d1+1,index_d2+1); + if (phr->has_dl == _TRUE_){ + for (index_d1=0; index_d1d_size; index_d1++){ + for (index_d2=MAX(index_d1-phr->non_diag,0); index_d2<=MIN(index_d1+phr->non_diag,phr->d_size-1); index_d2++) { + class_sprintf(tmp,"dens[%d]-lens[%d]",index_d1+1,index_d2+1); class_fprintf_columntitle(*clfile,tmp,_TRUE_,colnum); } } @@ -1706,7 +1652,7 @@ int output_open_cl_file( * This routine write one line with l and all \f$ C_l\f$'s for all types (TT, TE...) * * @param pba Input: pointer to background structure (needed for \f$ T_{cmb}\f$) - * @param psp Input: pointer to spectra structure + * @param phr Input: pointer to harmonic structure * @param pop Input: pointer to output structure * @param clfile Input: file pointer * @param l Input: multipole @@ -1717,7 +1663,7 @@ int output_open_cl_file( int output_one_line_of_cl( struct background * pba, - struct spectra * psp, + struct harmonic * phr, struct output * pop, FILE * clfile, double l, @@ -1747,27 +1693,27 @@ int output_one_line_of_cl( } if (pop->output_format == camb_format) { - class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[psp->index_ct_tt], psp->has_tt); - class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[psp->index_ct_ee], psp->has_ee); - class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[psp->index_ct_bb], psp->has_bb); - class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[psp->index_ct_te], psp->has_te); - class_fprintf_double(clfile, l*(l+1)*factor*cl[psp->index_ct_pp], psp->has_pp); - class_fprintf_double(clfile, sqrt(l*(l+1))*factor*pba->T_cmb*1.e6*cl[psp->index_ct_tp], psp->has_tp); - class_fprintf_double(clfile, sqrt(l*(l+1))*factor*pba->T_cmb*1.e6*cl[psp->index_ct_ep], psp->has_ep); + class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[phr->index_ct_tt], phr->has_tt); + class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[phr->index_ct_ee], phr->has_ee); + class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[phr->index_ct_bb], phr->has_bb); + class_fprintf_double(clfile, factor*pow(pba->T_cmb*1.e6,2)*cl[phr->index_ct_te], phr->has_te); + class_fprintf_double(clfile, l*(l+1)*factor*cl[phr->index_ct_pp], phr->has_pp); + class_fprintf_double(clfile, sqrt(l*(l+1))*factor*pba->T_cmb*1.e6*cl[phr->index_ct_tp], phr->has_tp); + class_fprintf_double(clfile, sqrt(l*(l+1))*factor*pba->T_cmb*1.e6*cl[phr->index_ct_ep], phr->has_ep); index_ct_rest = 0; - if (psp->has_tt == _TRUE_) + if (phr->has_tt == _TRUE_) index_ct_rest++; - if (psp->has_ee == _TRUE_) + if (phr->has_ee == _TRUE_) index_ct_rest++; - if (psp->has_bb == _TRUE_) + if (phr->has_bb == _TRUE_) index_ct_rest++; - if (psp->has_te == _TRUE_) + if (phr->has_te == _TRUE_) index_ct_rest++; - if (psp->has_pp == _TRUE_) + if (phr->has_pp == _TRUE_) index_ct_rest++; - if (psp->has_tp == _TRUE_) + if (phr->has_tp == _TRUE_) index_ct_rest++; - if (psp->has_ep == _TRUE_) + if (phr->has_ep == _TRUE_) index_ct_rest++; /* Now print the remaining (if any) entries:*/ for (index_ct=index_ct_rest; index_ct < ct_size; index_ct++) { @@ -1786,7 +1732,7 @@ int output_one_line_of_cl( * a heading with some general information concerning its content. * * @param pba Input: pointer to background structure (needed for h) - * @param psp Input: pointer to spectra structure + * @param pfo Input: pointer to fourier structure * @param pop Input: pointer to output structure * @param pkfile Output: returned pointer to file pointer * @param filename Input: name of the file @@ -1797,7 +1743,7 @@ int output_one_line_of_cl( int output_open_pk_file( struct background * pba, - struct spectra * psp, + struct fourier * pfo, struct output * pop, FILE * * pkfile, FileName filename, @@ -1811,9 +1757,9 @@ int output_open_pk_file( if (pop->write_header == _TRUE_) { fprintf(*pkfile,"# Matter power spectrum P(k) %sat redshift z=%g\n",first_line,z); fprintf(*pkfile,"# for k=%g to %g h/Mpc,\n", - exp(psp->ln_k[0])/pba->h, - exp(psp->ln_k[psp->ln_k_size-1])/pba->h); - fprintf(*pkfile,"# number of wavenumbers equal to %d\n",psp->ln_k_size); + exp(pfo->ln_k[0])/pba->h, + exp(pfo->ln_k[pfo->k_size-1])/pba->h); + fprintf(*pkfile,"# number of wavenumbers equal to %d\n",pfo->k_size); fprintf(*pkfile,"#"); class_fprintf_columntitle(*pkfile,"k (h/Mpc)",_TRUE_,colnum); diff --git a/source/perturbations.c b/source/perturbations.c old mode 100755 new mode 100644 index a71f195f..f1c5bc14 --- a/source/perturbations.c +++ b/source/perturbations.c @@ -1,6 +1,6 @@ /** @file perturbations.c Documented perturbation module - * Julien Lesgourgues, 23.09.2010 * + * Julien Lesgourgues, 23.09.2010 * * Deals with the perturbation evolution. * This module has two purposes: @@ -19,11 +19,14 @@ * * Hence the following functions can be called from other modules: * - * -# perturb_init() at the beginning (but after background_init() and thermodynamics_init()) - * -# perturb_sources_at_tau() at any later time - * -# perturb_free() at the end, when no more calls to perturb_sources_at_tau() are needed + * -# perturbations_init() at the beginning (but after background_init() and thermodynamics_init()) + * -# perturbations_sources_at_tau() at any later time + * -# perturbations_free() at the end, when no more calls to perturbations_sources_at_tau() are needed */ + #include "perturbations.h" +#include "hi_class.h" +#include "parallel.h" /** @@ -33,46 +36,639 @@ * the pre-computed table and interpolating. * * @param ppt Input: pointer to perturbation structure containing interpolation tables - * @param index_md Input: index of requested mode - * @param index_ic Input: index of requested initial condition - * @param index_type Input: index of requested source function type + * @param index_md Input: index of requested mode (for scalars, just pass ppt->index_md_scalars) + * @param index_ic Input: index of requested initial condition (for adiabatic, just pass ppt->index_ic_ad) + * @param index_tp Input: index of requested source function type * @param tau Input: any value of conformal time - * @param psource Output: vector (already allocated) of source function as a function of k + * @param psource_at_tau Output: vector (already allocated) of source function as a function of k, psource_at_tau[index_k] * @return the error status */ -int perturb_sources_at_tau( - struct perturbs * ppt, - int index_md, - int index_ic, - int index_type, - double tau, - double * psource - ) { - +int perturbations_sources_at_tau( + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double tau, + double * psource_at_tau + ) { /** Summary: */ - /** - interpolate in pre-computed table contained in ppt */ - class_call(array_interpolate_two_bis(ppt->tau_sampling, - 1, - 0, - ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_type], - ppt->k_size[index_md], - ppt->tau_size, - tau, - psource, - ppt->k_size[index_md], - ppt->error_message), + /** - define local variables */ + + int last_index; + double logtau; + + short do_spline = _FALSE_; + + logtau = log(tau); + + /** - If we have defined a z_max_pk > 0, then we have already an + array of sources and of their second derivative with respect to + time in the range 0 < z < z_max_pk, that can be used for an + accurate spline interpolation at a given tau. Check whether we + are in this situation and whether the value of tau is in the + right range. */ + + if (ppt->ln_tau_size > 1) { + if (logtau >= ppt->ln_tau[0]) { + do_spline = _TRUE_; + } + } + + /** - If yes, we do such a spline */ + + if (do_spline == _TRUE_) { + + class_call(array_interpolate_spline(ppt->ln_tau, + ppt->ln_tau_size, + ppt->late_sources[index_md][index_ic * ppt->tp_size[index_md] + index_tp], + ppt->ddlate_sources[index_md][index_ic*ppt->tp_size[index_md] + index_tp], + ppt->k_size[index_md], + logtau, + &last_index, + psource_at_tau, + ppt->k_size[index_md], + ppt->error_message), + ppt->error_message, + ppt->error_message); + } + + + /** - otherwise, we just go for a quick linear interpolation. This + is made available for developpers for completeness, but it is + actually never used by the default version of CLASS */ + + else { + + class_call(array_interpolate_two_bis(ppt->tau_sampling, + 1, + 0, + ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp], + ppt->k_size[index_md], + ppt->tau_size, + tau, + psource_at_tau, + ppt->k_size[index_md], + ppt->error_message), + ppt->error_message, + ppt->error_message); + } + + return _SUCCESS_; +} + +/** + * Source function \f$ S^{X} (k, \tau) \f$ at a given redhsift z. + * + * Evaluate source functions at given redhsift z by reading + * the pre-computed table and interpolating. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure containing interpolation tables + * @param index_md Input: index of requested mode (for scalars, just pass ppt->index_md_scalars) + * @param index_ic Input: index of requested initial condition (for adiabatic, just pass ppt->index_ic_ad) + * @param index_tp Input: index of requested source function type + * @param z Input: any value of redshift + * @param psource_at_z Output: vector (already allocated) of source function as a function of k, psource_at_z[index_k] + * @return the error status + */ + +int perturbations_sources_at_z( + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double z, + double * psource_at_z + ) { + + double tau; + + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + ppt->error_message); + + class_call(perturbations_sources_at_tau(ppt,index_md,index_ic,index_tp,tau,psource_at_z), + ppt->error_message, + ppt->error_message); + + return _SUCCESS_; +} + +/** + * Source function \f$ S^{X} (k, \tau) \f$ at a given redhsift z and wavenumber k. + * + * Evaluate source functions at given redhsift z and wavenumber k by reading + * the pre-computed table and interpolating. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure containing interpolation tables + * @param index_md Input: index of requested mode (for scalars, just pass ppt->index_md_scalars) + * @param index_ic Input: index of requested initial condition (for adiabatic, just pass ppt->index_ic_ad) + * @param index_tp Input: index of requested source function type + * @param k Input: any value of wavenumber + * @param z Input: any value of redshift + * @param psource_at_k_and_z Output: pointer to the source function at (k,z) (so to just one number) + * @return the error status + */ + +int perturbations_sources_at_k_and_z( + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + int index_tp, + double k, + double z, + double * psource_at_k_and_z + ) { + + double * sources; + double * ddsources_dk2; + int last_index; + + class_alloc(sources, + ppt->k_size[index_md]*sizeof(double), + ppt->error_message); + + class_alloc(ddsources_dk2, + ppt->k_size[index_md]*sizeof(double), + ppt->error_message); + + class_call(perturbations_sources_at_z(pba,ppt,index_md,index_ic,index_tp,z,sources), + ppt->error_message, + ppt->error_message); + + class_call(array_spline_table_lines(ppt->k[index_md], + ppt->k_size[index_md], + sources, + 1, + ddsources_dk2, + _SPLINE_EST_DERIV_, + ppt->error_message), + ppt->error_message, + ppt->error_message); + + class_call(array_interpolate_spline(ppt->k[index_md], + ppt->k_size[index_md], + sources, + ddsources_dk2, + 1, + k, + &last_index, + psource_at_k_and_z, + 1, + ppt->error_message), + ppt->error_message, + ppt->error_message); + + return _SUCCESS_; +} + +/** + * Function called by the output module or the wrappers, which returns + * the source functions \f$ S^{X} (k, \tau) \f$ corresponding to + * densities ('dTk') and velocities ('vTk') at a given conformal time + * tau corresponding to the input redshift z. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param output_format Input: choice of ordering and normalisation for the output quantities + * @param z Input: redshift + * @param number_of_titles Input: number of requested source functions (found in perturbations_output_titles) + * @param data Output: vector of all source functions for all k values and initial conditions (previously allocated with the right size) + * @return the error status + */ + +int perturbations_output_data_at_z( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + double z, + int number_of_titles, + double *data + ) { + + double * tkfull=NULL; /* array with argument tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] */ + + double * pvecsources; + + double tau; + + int index_md = ppt->index_md_scalars; + int index_ic; + int index_k; + int index_tp; + + /** - allocate tkfull */ + + if (ppt->k_size[index_md]*ppt->ic_size[index_md]*ppt->tp_size[index_md] > 0) { + class_alloc(tkfull, + ppt->k_size[index_md]*ppt->ic_size[index_md]*ppt->tp_size[index_md]*sizeof(double), + ppt->error_message); + } + + /** - compute \f$T_i(k)\f$ for each k (if several ic's, compute it + for each ic; if z_pk = 0, this is done by directly reading + inside the pre-computed table; if not, this is done by + interpolating the table at the correct value of tau. */ + + /* if z_pk = 0, no interpolation needed */ + + if (z == 0.) { + + for (index_k=0; index_kk_size[index_md]; index_k++) { + for (index_tp=0; index_tptp_size[index_md]; index_tp++) { + for (index_ic=0; index_icic_size[index_md]; index_ic++) { + tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] + = ppt->sources[index_md][index_ic * ppt->tp_size[index_md] + index_tp][(ppt->tau_size-1) * ppt->k_size[index_md] + index_k]; + } + } + } + } + + /* if 0 <= z_pk <= z_max_pk, interpolation needed, */ + else { + + /* check the time corresponding to the highest redshift requested in output plus one */ + class_call(background_tau_of_z(pba, + z, + &tau), + pba->error_message, + ppt->error_message); + + class_test(log(tau) < ppt->ln_tau[0], + "Asking sources at a z bigger than z_max_pk, something probably went wrong", + ppt->error_message); + + class_alloc(pvecsources, + ppt->k_size[index_md]*sizeof(double), + ppt->error_message); + + + for (index_tp=0; index_tptp_size[index_md]; index_tp++) { + for (index_ic=0; index_icic_size[index_md]; index_ic++) { + class_call(perturbations_sources_at_tau(ppt, + index_md, + index_ic, + index_tp, + tau, + pvecsources), + ppt->error_message, + ppt->error_message); + for (index_k=0; index_kk_size[index_md]; index_k++) { + + tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] = + pvecsources[index_k]; + } + } + } + free(pvecsources); + } + + /** - store data */ + + class_call(perturbations_output_data(pba,ppt,output_format,tkfull,number_of_titles,data), + ppt->error_message, + ppt->error_message); + + /** - free tkfull */ + // condition necessary because the size could be zero (if ppt->tp_size is zero) + if (tkfull != NULL) + free(tkfull); + + return _SUCCESS_; +} + +/** + * Function called by the output module or the wrappers, which returns + * the source functions \f$ S^{X} (k, \tau) \f$ corresponding to + * densities ('dTk') and velocities ('vTk') at a given conformal time + * tau corresponding to index index_tau in pre-computed table. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param output_format Input: choice of ordering and normalisation for the output quantities + * @param index_tau Input: index pre-computed table ppt->ln_tau[index_tau] + * @param number_of_titles Input: number of requested source functions (found in perturbations_output_titles) + * @param data Output: vector of all source functions for all k values and initial conditions (previously allocated with the right size) + * @return the error status + */ + +int perturbations_output_data_at_index_tau( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + int index_tau, + int number_of_titles, + double *data + ) { + + double * tkfull=NULL; /* array with argument tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] */ + + int index_md = ppt->index_md_scalars; + int index_ic; + int index_k; + int index_tp; + + class_test((index_tau < 0) || (index_tau >= ppt->ln_tau_size), + ppt->error_message, + "index_tau outside of array range"); + + /** - allocate and fill tkfull */ + + if (ppt->k_size[index_md]*ppt->ic_size[index_md]*ppt->tp_size[index_md] > 0) { + class_alloc(tkfull, + ppt->k_size[index_md]*ppt->ic_size[index_md]*ppt->tp_size[index_md]*sizeof(double), + ppt->error_message); + } + + for (index_k=0; index_kk_size[index_md]; index_k++) { + for (index_tp=0; index_tptp_size[index_md]; index_tp++) { + for (index_ic=0; index_icic_size[index_md]; index_ic++) { + tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] + = ppt->late_sources[index_md][index_ic * ppt->tp_size[index_md] + index_tp][index_tau * ppt->k_size[index_md] + index_k]; + } + } + } + + /** - store data */ + + class_call(perturbations_output_data(pba,ppt,output_format,tkfull,number_of_titles,data), ppt->error_message, ppt->error_message); + /** - free tkfull */ + // condition necessary because the size could be zero (if ppt->tp_size is zero) + if (tkfull != NULL) + free(tkfull); + + return _SUCCESS_; +} + +/** + * Function called by the output module or the wrappers, which returns + * the source functions \f$ S^{X} (k, \tau) \f$ corresponding to + * densities ('dTk') and velocities ('vTk') in the correct order + * (matching that in perturbations_output_titles), given a vector + * containing the corresponding scalar source functions at a given + * time. + * + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param output_format Input: choice of ordering and normalisation for the output quantities + * @param tkfull Input: vector of scalar sources at given time, tk[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md] + index_tp] + * @param number_of_titles Input: number of requested source functions (found in perturbations_output_titles) + * @param data Output: vector of all source functions for all k values and initial conditions (previously allocated with the right size) + * @return the error status + */ + +int perturbations_output_data( + struct background * pba, + struct perturbations * ppt, + enum file_format output_format, + double * tkfull, + int number_of_titles, + double *data + ) { + + int n_ncdm; + double k, k_over_h, k2; + double *tk; + double *dataptr; + int index_md = ppt->index_md_scalars; + int index_ic; + int index_k; + int storeidx; + + /** - store data */ + + for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { + + for (index_k=0; index_kk_size[index_md]; index_k++) { + + storeidx = 0; + dataptr = data+index_ic*(ppt->k_size[index_md]*number_of_titles)+index_k*number_of_titles; + tk = &(tkfull[(index_k * ppt->ic_size[index_md] + index_ic) * ppt->tp_size[index_md]]); + k = ppt->k[index_md][index_k]; + k2 = k*k; + k_over_h = k/pba->h; + + class_store_double(dataptr, k_over_h, _TRUE_,storeidx); + + /* indices for species associated with a velocity transfer function in Fourier space */ + + if (output_format == class_format) { + + if (ppt->has_density_transfers == _TRUE_) { + class_store_double(dataptr,tk[ppt->index_tp_delta_g],ppt->has_source_delta_g,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_b],ppt->has_source_delta_b,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_cdm],ppt->has_source_delta_cdm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_idm],ppt->has_source_delta_idm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_fld],ppt->has_source_delta_fld,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_ur],ppt->has_source_delta_ur,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_idr],ppt->has_source_delta_idr,storeidx); + if (pba->has_ncdm == _TRUE_){ + for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ + class_store_double(dataptr,tk[ppt->index_tp_delta_ncdm1+n_ncdm],ppt->has_source_delta_ncdm,storeidx); + } + } + class_store_double(dataptr,tk[ppt->index_tp_delta_dcdm],ppt->has_source_delta_dcdm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_dr],ppt->has_source_delta_dr,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_scf],ppt->has_source_delta_scf,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_m],ppt->has_source_delta_m,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_delta_tot],ppt->has_source_delta_tot,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_phi],ppt->has_source_phi,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_psi],ppt->has_source_psi,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_phi_prime],ppt->has_source_phi_prime,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_h],ppt->has_source_h,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_h_prime],ppt->has_source_h_prime,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_eta],ppt->has_source_eta,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_eta_prime],ppt->has_source_eta_prime,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_H_T_Nb_prime],ppt->has_source_H_T_Nb_prime,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_k2gamma_Nb],ppt->has_source_k2gamma_Nb,storeidx); + } + if (ppt->has_velocity_transfers == _TRUE_) { + + class_store_double(dataptr,tk[ppt->index_tp_theta_g],ppt->has_source_theta_g,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_b],ppt->has_source_theta_b,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_cdm],ppt->has_source_theta_cdm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_idm],ppt->has_source_theta_idm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_fld],ppt->has_source_theta_fld,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_ur],ppt->has_source_theta_ur,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_idr],ppt->has_source_theta_idr,storeidx); + if (pba->has_ncdm == _TRUE_){ + for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ + class_store_double(dataptr,tk[ppt->index_tp_theta_ncdm1+n_ncdm],ppt->has_source_theta_ncdm,storeidx); + } + } + class_store_double(dataptr,tk[ppt->index_tp_theta_dcdm],ppt->has_source_theta_dcdm,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_dr],ppt->has_source_theta_dr,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_scf],ppt->has_source_theta_scf,storeidx); + class_store_double(dataptr,tk[ppt->index_tp_theta_tot],ppt->has_source_theta_tot,storeidx); + + } + + } + else if (output_format == camb_format) { + + /* rescale and reorder the matter transfer functions following the CMBFAST/CAMB convention */ + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_cdm]/k2,ppt->has_source_delta_cdm,storeidx,0.0); + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_b]/k2,ppt->has_source_delta_b,storeidx,0.0); + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_g]/k2,ppt->has_source_delta_g,storeidx,0.0); + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_ur]/k2,ppt->has_source_delta_ur,storeidx,0.0); + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_ncdm1]/k2,ppt->has_source_delta_ncdm,storeidx,0.0); + class_store_double_or_default(dataptr,-tk[ppt->index_tp_delta_tot]/k2,_TRUE_,storeidx,0.0); + } + } + } + + return _SUCCESS_; +} + +/** + * Fill array of strings with the name of the requested 'mTk, vTk' functions + * (transfer functions as a function of wavenumber for fixed times). + * + * @param pba Input: pointer to the background structure + * @param ppt Input: pointer to the perturbation structure + * @param output_format Input: flag for the format + * @param titles Output: name strings + * @return the error status + */ + +int perturbations_output_titles( + struct background *pba, + struct perturbations *ppt, + enum file_format output_format, + char titles[_MAXTITLESTRINGLENGTH_] + ){ + int n_ncdm; + char tmp[40]; + + if (output_format == class_format) { + class_store_columntitle(titles,"k (h/Mpc)",_TRUE_); + if (ppt->has_density_transfers == _TRUE_) { + class_store_columntitle(titles,"d_g",_TRUE_); + class_store_columntitle(titles,"d_b",_TRUE_); + class_store_columntitle(titles,"d_cdm",pba->has_cdm); + class_store_columntitle(titles,"d_idm",pba->has_idm); + class_store_columntitle(titles,"d_fld",pba->has_fld); + class_store_columntitle(titles,"d_ur",pba->has_ur); + class_store_columntitle(titles,"d_idr",pba->has_idr); + if (pba->has_ncdm == _TRUE_) { + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { + class_sprintf(tmp,"d_ncdm[%d]",n_ncdm); + class_store_columntitle(titles,tmp,_TRUE_); + } + } + class_store_columntitle(titles,"d_dcdm",pba->has_dcdm); + class_store_columntitle(titles,"d_dr",pba->has_dr); + class_store_columntitle(titles,"d_scf",pba->has_scf); + class_store_columntitle(titles,"d_m",ppt->has_source_delta_m); + class_store_columntitle(titles,"d_tot",ppt->has_source_delta_tot); + class_store_columntitle(titles,"phi",ppt->has_source_phi); + class_store_columntitle(titles,"psi",ppt->has_source_psi); + class_store_columntitle(titles,"phi_prime",ppt->has_source_phi_prime); + class_store_columntitle(titles,"h",ppt->has_source_h); + class_store_columntitle(titles,"h_prime",ppt->has_source_h_prime); + class_store_columntitle(titles,"eta",ppt->has_source_eta); + class_store_columntitle(titles,"eta_prime",ppt->has_source_eta_prime); + class_store_columntitle(titles,"H_T_Nb_prime",ppt->has_source_H_T_Nb_prime); + class_store_columntitle(titles,"k2gamma_Nb",ppt->has_source_k2gamma_Nb); + } + if (ppt->has_velocity_transfers == _TRUE_) { + class_store_columntitle(titles,"t_g",_TRUE_); + class_store_columntitle(titles,"t_b",_TRUE_); + class_store_columntitle(titles,"t_cdm",((pba->has_cdm == _TRUE_) && (ppt->gauge != synchronous))); + class_store_columntitle(titles,"t_idm",pba->has_idm); + class_store_columntitle(titles,"t_fld",pba->has_fld); + class_store_columntitle(titles,"t_ur",pba->has_ur); + class_store_columntitle(titles,"t_idr",pba->has_idr); + if (pba->has_ncdm == _TRUE_) { + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { + class_sprintf(tmp,"t_ncdm[%d]",n_ncdm); + class_store_columntitle(titles,tmp,_TRUE_); + } + } + class_store_columntitle(titles,"t_dcdm",pba->has_dcdm); + class_store_columntitle(titles,"t_dr",pba->has_dr); + class_store_columntitle(titles,"t_scf",pba->has_scf); + class_store_columntitle(titles,"t_tot",_TRUE_); + } + } + + else if (output_format == camb_format) { + + class_store_columntitle(titles,"k (h/Mpc)",_TRUE_); + class_store_columntitle(titles,"-T_cdm/k2",_TRUE_); + class_store_columntitle(titles,"-T_b/k2",_TRUE_); + class_store_columntitle(titles,"-T_g/k2",_TRUE_); + class_store_columntitle(titles,"-T_ur/k2",_TRUE_); + class_store_columntitle(titles,"-T_ncdm/k2",_TRUE_); + class_store_columntitle(titles,"-T_tot/k2",_TRUE_); + + } + + return _SUCCESS_; +} + +/** + * Fill strings that will be used when writing the transfer functions + * and the spectra in files (in the file names and in the comment at the beginning of each file). + * + * @param ppt Input: pointer to the perturbation structure + * @param index_ic Input: index of the initial condition + * @param first_line Output: line of comment + * @param ic_suffix Output: suffix for the output file name + * @return the error status + * + */ + +int perturbations_output_firstline_and_ic_suffix( + struct perturbations *ppt, + int index_ic, + char first_line[_LINE_LENGTH_MAX_], + char ic_suffix[_SUFFIXNAMESIZE_] + ){ + + first_line[0]='\0'; + ic_suffix[0]='\0'; + + if ((ppt->has_ad == _TRUE_) && (index_ic == ppt->index_ic_ad)) { + strcpy(ic_suffix,"ad"); + strcpy(first_line,"for adiabatic (AD) mode (normalized to initial curvature=1) "); + } + + if ((ppt->has_bi == _TRUE_) && (index_ic == ppt->index_ic_bi)) { + strcpy(ic_suffix,"bi"); + strcpy(first_line,"for baryon isocurvature (BI) mode (normalized to initial entropy=1)"); + } + + if ((ppt->has_cdi == _TRUE_) && (index_ic == ppt->index_ic_cdi)) { + strcpy(ic_suffix,"cdi"); + strcpy(first_line,"for CDM isocurvature (CDI) mode (normalized to initial entropy=1)"); + } + + if ((ppt->has_nid == _TRUE_) && (index_ic == ppt->index_ic_nid)) { + strcpy(ic_suffix,"nid"); + strcpy(first_line,"for neutrino density isocurvature (NID) mode (normalized to initial entropy=1)"); + } + if ((ppt->has_niv == _TRUE_) && (index_ic == ppt->index_ic_niv)) { + strcpy(ic_suffix,"niv"); + strcpy(first_line,"for neutrino velocity isocurvature (NIV) mode (normalized to initial entropy=1)"); + } return _SUCCESS_; } /** - * Initialize the perturbs structure, and in particular the table of source functions. + * Initialize the perturbations structure, and in particular the table of source functions. * * Main steps: * @@ -94,12 +690,12 @@ int perturb_sources_at_tau( * @return the error status */ -int perturb_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ) { +int perturbations_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ) { /** Summary: */ @@ -111,29 +707,10 @@ int perturb_init( int index_ic; /* running index for wavenumbers */ int index_k; - /* pointer to one struct perturb_workspace per thread (one if no openmp) */ - struct perturb_workspace ** pppw; + /* running index for type of perturbation */ + int index_tp; /* background quantities */ double w_fld_ini, w_fld_0,dw_over_da_fld,integral_fld; - /* number of threads (always one if no openmp) */ - int number_of_threads=1; - /* index of the thread (always 0 if no openmp) */ - int thread=0; - - /* This code can be optionally compiled with the openmp option for parallel computation. - Inside parallel regions, the use of the command "return" is forbidden. - For error management, instead of "return _FAILURE_", we will set the variable below - to "abort = _TRUE_". This will lead to a "return _FAILURE_" just after leaving the - parallel region. */ - int abort; - - /* unsigned integer that will be set to the size of the workspace */ - size_t sz; - -#ifdef _OPENMP - /* instrumentation times */ - double tstart, tstop, tspent; -#endif /** - perform preliminary checks */ @@ -149,7 +726,7 @@ int perturb_init( class_test((ppt->gauge == synchronous) && (pba->has_cdm == _FALSE_), ppt->error_message, - "In the synchronous gauge, it is not self-consistent to assume no CDM: the later is used to define the initial timelike hypersurface. You can either add a negligible amount of CDM or switch to newtonian gauge"); + "In the synchronous gauge, it is not self-consistent to assume no CDM: the later is used to define the initial timelike hypersurface. You can either add a negligible amount of CDM, or switch to newtonian gauge"); class_test ((ppr->tight_coupling_approximation < first_order_MB) || (ppr->tight_coupling_approximation > compromise_CLASS), @@ -161,6 +738,13 @@ int perturb_init( ppt->error_message, "your radiation_streaming_approximation is set to %d, out of range defined in perturbations.h",ppr->radiation_streaming_approximation); + if (pba->has_idr == _TRUE_){ + class_test ((ppr->idr_streaming_approximation < rsa_idr_none) || + (ppr->idr_streaming_approximation > rsa_idr_MD), + ppt->error_message, + "your idr_radiation_streaming_approximation is set to %d, out of range defined in perturbations.h",ppr->idr_streaming_approximation); + } + if (pba->has_ur == _TRUE_) { class_test ((ppr->ur_fluid_approximation < ufa_mb) || @@ -186,9 +770,9 @@ int perturb_init( if (pba->has_fld == _TRUE_) { - /* check values of w_fld at initial time and today */ - class_call(background_w_fld(pba, 0., &w_fld_ini,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); - class_call(background_w_fld(pba,pba->a_today,&w_fld_0,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); + /* check values of w_fld at initial time and today. Since 'a' in the code stands for 'a/a_0', its current value is 1 by definition */ + class_call(background_w_fld(pba, 0., &w_fld_ini, &dw_over_da_fld, &integral_fld), pba->error_message, ppt->error_message); + class_call(background_w_fld(pba, 1., &w_fld_0, &dw_over_da_fld, &integral_fld), pba->error_message, ppt->error_message); class_test(w_fld_ini >= 0., ppt->error_message, @@ -249,81 +833,44 @@ int perturb_init( } } - /** - initialize all indices and lists in perturbs structure using perturb_indices_of_perturbs() */ + /* + class_test((pba->h > _h_BIG_) || (pba->h < _h_SMALL_), + ppt->error_message, + "Your value of pba->h=%e is out of the bounds [%e , %e] and could cause a crash of the perturbation ODE integration. If you want to force this barrier, you may comment it out in perturbation.c", + pba->h, + _h_SMALL_, + _h_BIG_); + + class_test((pba->Omega0_b*pba->h*pba->h < _omegab_SMALL_) || (pba->Omega0_b*pba->h*pba->h > _omegab_BIG_), + ppt->error_message, + "Your value of omega_b=%e is out of the bounds [%e , %e] and could cause a crash of the perturbation ODE integration. If you want to force this barrier, you may comment it out in perturbation.c", + pba->Omega0_b*pba->h*pba->h, + _omegab_SMALL_, + _omegab_BIG_); + */ + + /** - initialize all indices and lists in perturbations structure using perturbations_indices() */ - class_call(perturb_indices_of_perturbs(ppr, - pba, - pth, - ppt), + class_call(perturbations_indices(ppr, + pba, + pth, + ppt), ppt->error_message, ppt->error_message); - //Here we do the smg tests. It is important to have them after perturb_indices_of_perturbs because we need - //quantities as k_min and k_max. + /** Perform smg tests. We have to do it after calling perturbations_indices because we need + * k_min and k_max (they are calculated in perturbations_get_k_list) + **/ if (pba->has_smg == _TRUE_) { + class_call( + perturbations_tests_smg(ppr, pba, ppt), + ppt->error_message, + ppt->error_message + ); + } - class_test(ppt->gauge == newtonian, - ppt->error_message, - "Asked for scalar modified gravity AND Newtonian gauge. Not yet implemented"); - - - if ( ppt->pert_initial_conditions_smg == gravitating_attr ){ - class_test_except((ppt->has_cdi == _TRUE_) || (ppt->has_bi == _TRUE_) || (ppt->has_nid == _TRUE_) || (ppt->has_niv == _TRUE_), - ppt->error_message, - background_free(pba);thermodynamics_free(pth);perturb_free_nosource(ppt), - "Isocurvature initial conditions for early modified gravity (Gravitating Attractor) not implemented."); - } - - - // TODO: think of some suitable tests for the scalar field - - if (ppt->method_qs_smg == automatic) { - //Check if at the initial time all the k modes start with the same kind of qs_smg approximation - class_call_except(perturb_test_ini_qs_smg(ppr, - pba, - ppt, - ppt->k[ppt->index_md_scalars][0], - ppt->k[ppt->index_md_scalars][ppt->k_size[ppt->index_md_scalars]-1], - ppr->a_ini_over_a_today_default), - ppt->error_message, - ppt->error_message, - background_free(pba);thermodynamics_free(pth);perturb_free_nosource(ppt)); - } - - if (!((ppt->method_qs_smg == automatic) && (ppt->initial_approx_qs_smg==1))) { - - // if scalar is dynamical or always quasi-static, test for stability at the initial time. - // Only in the case it is QS because of a trigger test (through "automatic" method_qs), - // we already know mass is positive and therefore can assume it is stable, so skip this. - - if( ppt->pert_initial_conditions_smg == gravitating_attr){ - // If we are in gravitating_attr ICs, make sure the standard solution is dominant at some early redshift. - // If it is not, curvature is not conserved and we have lost the connection between the amplitude from inflation and - // the initial amplitude supplied to hi_class. - class_call_except(perturb_test_ini_grav_ic_smg(ppr, - pba, - ppt), - ppt->error_message, - ppt->error_message, - background_free(pba);thermodynamics_free(pth);perturb_free_nosource(ppt)); - } - - if( ppt->pert_initial_conditions_smg == ext_field_attr){ - //If we have the ext_field_attr, test for tachyon instability in RD before pert initialisation - // If have it, fail, because we can't set the ICs properly - - class_call_except(perturb_test_ini_extfld_ic_smg(ppr, - pba, - ppt), - ppt->error_message, - ppt->error_message, - background_free(pba);thermodynamics_free(pth);perturb_free_nosource(ppt)); - } - } - } - - if (ppt->z_max_pk > pth->z_rec) { + if (ppt->z_max_pk > pth->z_rec) { class_test(ppt->has_cmb == _TRUE_, ppt->error_message, @@ -331,9 +878,9 @@ int perturb_init( ppt->z_max_pk, pth->z_rec); - class_test(ppt->has_source_delta_m == _TRUE_, + class_test(ppt->has_source_delta_m == _TRUE_, ppt->error_message, - "You requested a very high z_pk=%e, higher than z_rec=%e. This works very well when you ask only transfer functions, e.g. with 'output=mTk' or 'output=mTk,vTk'. But if you need the total matter (e.g. with 'mPk', 'dCl', etc.) there is an issue with the calculation of delta_m at very early times. By default, delta_m is a gauge-invariant variable (the density fluctuation in comoving gauge) and this quantity is hard to get accurately at very early times. The solution is to define delta_m as the density fluctuation in the current gauge, synchronous or newtonian. For the moment this must be done manually by commenting the line 'ppw->delta_m += 3. *ppw->pvecback[pba->index_bg_a]*ppw->pvecback[pba->index_bg_H] * ppw->theta_m/k2;' in perturb_sources(). In the future there will be an option for doing it in an easier way.", + "You requested a very high z_pk=%e, higher than z_rec=%e. This works very well when you ask only transfer functions, e.g. with 'output=mTk' or 'output=mTk,vTk'. But if you need the total matter (e.g. with 'mPk', 'dCl', etc.) there is an issue with the calculation of delta_m at very early times. By default, delta_m is a gauge-invariant variable (the density fluctuation in comoving gauge) and this quantity is hard to get accurately at very early times. The solution is to define delta_m as the density fluctuation in the current gauge, synchronous or newtonian. For the moment this must be done manually by commenting the line 'ppw->delta_m += 3. *ppw->pvecback[pba->index_bg_a]*ppw->pvecback[pba->index_bg_H] * ppw->theta_m/k2;' in perturbations_sources(). In the future there will be an option for doing it in an easier way.", ppt->z_max_pk, pth->z_rec); @@ -342,224 +889,188 @@ int perturb_init( /** - define the common time sampling for all sources using - perturb_timesampling_for_sources() */ + perturbations_timesampling_for_sources() */ - class_call_except(perturb_timesampling_for_sources(ppr, - pba, - pth, - ppt), - ppt->error_message, + class_call(perturbations_timesampling_for_sources(ppr, + pba, + pth, + ppt), ppt->error_message, - background_free(pba);thermodynamics_free(pth);perturb_free_nosource(ppt)); + ppt->error_message); - /** - if we want to store perturbations, write titles and allocate storage */ - class_call(perturb_prepare_output(pba,ppt), + /** - if we want to store perturbations for given k values, write titles and allocate storage */ + class_call(perturbations_prepare_k_output(pba,ppt), ppt->error_message, ppt->error_message); - - /** - create an array of workspaces in multi-thread case */ - -#ifdef _OPENMP - -#pragma omp parallel - { - number_of_threads = omp_get_num_threads(); - } -#endif - - class_alloc(pppw,number_of_threads * sizeof(struct perturb_workspace *),ppt->error_message); - + /* Setup task system */ + class_setup_parallel(); /** - loop over modes (scalar, tensors, etc). For each mode: */ - for (index_md = 0; index_md < ppt->md_size; index_md++) { if (ppt->perturbations_verbose > 1) printf("Evolving mode %d/%d\n",index_md+1,ppt->md_size); - abort = _FALSE_; - - sz = sizeof(struct perturb_workspace); - -#pragma omp parallel \ - shared(pppw,ppr,pba,pth,ppt,index_md,abort,number_of_threads) \ - private(thread) \ - num_threads(number_of_threads) - - { - -#ifdef _OPENMP - thread=omp_get_thread_num(); -#endif - - /** - --> (a) create a workspace (one per thread in multi-thread case) */ - - class_alloc_parallel(pppw[thread],sz,ppt->error_message); - - /** - --> (b) initialize indices of vectors of perturbations with perturb_indices_of_current_vectors() */ - - class_call_parallel(perturb_workspace_init(ppr, - pba, - pth, - ppt, - index_md, - pppw[thread]), - ppt->error_message, - ppt->error_message); - - } /* end of parallel region */ - - if (abort == _TRUE_) return _FAILURE_; - - /** - --> (c) loop over initial conditions and wavenumbers; for each of them, evolve perturbations and compute source functions with perturb_solve() */ + /** - --> loop over initial conditions and wavenumbers; for each of them, evolve perturbations and compute source functions with perturbations_solve() */ for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { - if (ppt->perturbations_verbose > 1) { + if (ppt->perturbations_verbose > 1) { printf("Evolving ic %d/%d\n",index_ic+1,ppt->ic_size[index_md]); printf("evolving %d wavenumbers\n",ppt->k_size[index_md]); } - abort = _FALSE_; - -#pragma omp parallel \ - shared(pppw,ppr,pba,pth,ppt,index_md,index_ic,abort,number_of_threads) \ - private(index_k,thread,tstart,tstop,tspent) \ - num_threads(number_of_threads) + /* integrating backwards is slightly more optimal for parallel runs */ + //for (index_k = 0; index_k < ppt->k_size; index_k++) { + for (index_k = ppt->k_size[index_md]-1; index_k >=0; index_k--) { - { + class_run_parallel(with_arguments(ppr,pba,pth,ppt,index_md,index_ic,index_k), -#ifdef _OPENMP - thread=omp_get_thread_num(); - tspent=0.; -#endif - -#pragma omp for schedule (dynamic) - - /* integrating backwards is slightly more optimal for parallel runs */ - //for (index_k = 0; index_k < ppt->k_size; index_k++) { - for (index_k = ppt->k_size[index_md]-1; index_k >=0; index_k--) { - - if ((ppt->perturbations_verbose > 2) && (abort == _FALSE_)) { + if (ppt->perturbations_verbose > 2) { printf("evolving mode k=%e /Mpc (%d/%d)",ppt->k[index_md][index_k],index_k+1,ppt->k_size[index_md]); if (pba->sgnK != 0) printf(" (for scalar modes, corresponds to nu=%e)",sqrt(ppt->k[index_md][index_k]*ppt->k[index_md][index_k]+pba->K)/sqrt(pba->sgnK*pba->K)); printf("\n"); } -#ifdef _OPENMP - tstart = omp_get_wtime(); -#endif + struct perturbations_workspace pw; + class_call(perturbations_workspace_init(ppr, + pba, + pth, + ppt, + index_md, + &pw), + ppt->error_message, + ppt->error_message); - class_call_parallel(perturb_solve(ppr, - pba, - pth, - ppt, - index_md, - index_ic, - index_k, - pppw[thread]), - ppt->error_message, - ppt->error_message); + class_call(perturbations_solve(ppr, + pba, + pth, + ppt, + index_md, + index_ic, + index_k, + &pw), + ppt->error_message, + ppt->error_message); -#ifdef _OPENMP - tstop = omp_get_wtime(); + class_call(perturbations_workspace_free(ppt,index_md,&pw), + ppt->error_message, + ppt->error_message); + return _SUCCESS_; - tspent += tstop-tstart; -#endif + ); -#pragma omp flush(abort) + } /* end of loop over wavenumbers */ - } /* end of loop over wavenumbers */ + } /* end of loop over initial conditions */ -#ifdef _OPENMP - if (ppt->perturbations_verbose>1) - printf("In %s: time spent in parallel region (loop over k's) = %e s for thread %d\n", - __func__,tspent,omp_get_thread_num()); -#endif + } /* end loop over modes */ - } /* end of parallel region */ + class_finish_parallel(); - if (abort == _TRUE_) { - background_free(pba); - thermodynamics_free(pth); - perturb_free(ppt); - int t; - for (t = 0; t < number_of_threads; t++) { - perturb_workspace_free(ppt,index_md,pppw[t]); - } - free(pppw); - return _FAILURE_; - } - } /* end of loop over initial conditions */ + /** - spline the source array with respect to the time variable */ + + if (ppt->ln_tau_size > 1) { - abort = _FALSE_; + class_setup_parallel(); + + for (index_md = 0; index_md < ppt->md_size; index_md++) { -#pragma omp parallel \ - shared(pppw,ppt,index_md,abort,number_of_threads) \ - private(thread) \ - num_threads(number_of_threads) + for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { - { + for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { -#ifdef _OPENMP - thread=omp_get_thread_num(); -#endif + class_run_parallel(with_arguments(ppt, index_md, index_ic, index_tp), + class_call(array_spline_table_lines(ppt->ln_tau, + ppt->ln_tau_size, + ppt->late_sources[index_md][index_ic * ppt->tp_size[index_md] + index_tp], + ppt->k_size[index_md], + ppt->ddlate_sources[index_md][index_ic*ppt->tp_size[index_md] + index_tp], + _SPLINE_EST_DERIV_, + ppt->error_message), + ppt->error_message, + ppt->error_message); + return _SUCCESS_; + ); - class_call_parallel(perturb_workspace_free(ppt,index_md,pppw[thread]), - ppt->error_message, - ppt->error_message); + } /* end of loop over type of source function*/ - } /* end of parallel region */ + } /* end of loop over initial condition */ - if (abort == _TRUE_) return _FAILURE_; + } /* end of loop over mode */ - } /* end loop over modes */ + class_finish_parallel(); + } + + return _SUCCESS_; +} + +/** + * Free all memory space allocated by input. + * + * Called by perturbations_free(), during shooting and if shooting failed + * + * @param ppt Input: perturbation structure with input pointers to be freed + * @return the error status + */ - free(pppw); +int perturbations_free_input(struct perturbations* ppt) { + + if (ppt->alpha_idm_dr != NULL) + free(ppt->alpha_idm_dr); + if (ppt->beta_idr != NULL) + free(ppt->beta_idr); return _SUCCESS_; } /** - * Free all memory space allocated by perturb_init(). + * Free all memory space allocated by perturbations_init(). * * To be called at the end of each run, only when no further calls to - * perturb_sources_at_tau() are needed. + * perturbations_sources_at_tau() are needed. * * @param ppt Input: perturbation structure to be freed * @return the error status */ -int perturb_free( - struct perturbs * ppt - ) { +int perturbations_free( + struct perturbations * ppt + ) { - int index_md,index_ic,index_type; + int index_md,index_ic,index_tp; int filenum; + perturbations_free_input(ppt); + if (ppt->has_perturbations == _TRUE_) { for (index_md = 0; index_md < ppt->md_size; index_md++) { for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { - for (index_type = 0; index_type < ppt->tp_size[index_md]; index_type++) { + for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { - free(ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_type]); + free(ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp]); + if (ppt->ln_tau_size > 1) + free(ppt->ddlate_sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp]); } - } free(ppt->sources[index_md]); + free(ppt->late_sources[index_md]); + free(ppt->ddlate_sources[index_md]); free(ppt->k[index_md]); } free(ppt->tau_sampling); + if (ppt->ln_tau_size > 1) + free(ppt->ln_tau); free(ppt->tp_size); @@ -574,65 +1085,13 @@ int perturb_free( free(ppt->k_size); free(ppt->sources); + free(ppt->late_sources); + free(ppt->ddlate_sources); /** Stuff related to perturbations output: */ /** - Free non-NULL pointers */ - if (ppt->index_k_output_values != NULL) - free(ppt->index_k_output_values); - - for (filenum = 0; filenum<_MAX_NUMBER_OF_K_FILES_; filenum++){ - if (ppt->scalar_perturbations_data[filenum] != NULL) - free(ppt->scalar_perturbations_data[filenum]); - if (ppt->vector_perturbations_data[filenum] != NULL) - free(ppt->vector_perturbations_data[filenum]); - if (ppt->tensor_perturbations_data[filenum] != NULL) - free(ppt->tensor_perturbations_data[filenum]); - } - - } - - return _SUCCESS_; - -} - -int perturb_free_nosource( - struct perturbs * ppt - ) { - - int index_md,index_ic,index_type; - int filenum; - - if (ppt->has_perturbations == _TRUE_) { - - for (index_md = 0; index_md < ppt->md_size; index_md++) { - - free(ppt->sources[index_md]); - - free(ppt->k[index_md]); - - } - - free(ppt->tau_sampling); - - free(ppt->tp_size); - - free(ppt->ic_size); - - free(ppt->k); - - free(ppt->k_size_cmb); - - free(ppt->k_size_cl); - - free(ppt->k_size); - - free(ppt->sources); - - /** Stuff related to perturbations output: */ - - /** - Free non-NULL pointers */ - if (ppt->index_k_output_values != NULL) + if (ppt->k_output_values_num > 0 ) free(ppt->index_k_output_values); for (filenum = 0; filenum<_MAX_NUMBER_OF_K_FILES_; filenum++){ @@ -650,9 +1109,8 @@ int perturb_free_nosource( } - /** - * Initialize all indices and allocate most arrays in perturbs structure. + * Initialize all indices and allocate most arrays in perturbations structure. * * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure @@ -661,12 +1119,12 @@ int perturb_free_nosource( * @return the error status */ -int perturb_indices_of_perturbs( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ) { +int perturbations_indices( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ) { /** Summary: */ @@ -676,6 +1134,7 @@ int perturb_indices_of_perturbs( int index_md; int index_ic; int index_type_common; + int filenum; /** - count modes (scalar, vector, tensor) and assign corresponding indices */ @@ -699,39 +1158,63 @@ int perturb_indices_of_perturbs( /** - allocate array of arrays of source functions for each mode, ppt->source[index_md] */ - class_alloc(ppt->sources,ppt->md_size * sizeof(double *),ppt->error_message); + class_alloc(ppt->sources, ppt->md_size * sizeof(double *),ppt->error_message); + class_alloc(ppt->late_sources, ppt->md_size * sizeof(double *),ppt->error_message); + class_alloc(ppt->ddlate_sources,ppt->md_size * sizeof(double *),ppt->error_message); + + /** - initialize variables for the output of k values */ + + ppt->index_k_output_values=NULL; + + ppt->number_of_scalar_titles=0; + ppt->number_of_vector_titles=0; + ppt->number_of_tensor_titles=0; + + for (filenum = 0; filenum<_MAX_NUMBER_OF_K_FILES_; filenum++){ + ppt->scalar_perturbations_data[filenum] = NULL; + ppt->vector_perturbations_data[filenum] = NULL; + ppt->tensor_perturbations_data[filenum] = NULL; + } /** - initialization of all flags to false (will eventually be set to true later) */ ppt->has_cmb = _FALSE_; ppt->has_lss = _FALSE_; + ppt->has_idm_dr = _FALSE_; + ppt->has_source_t = _FALSE_; ppt->has_source_p = _FALSE_; ppt->has_source_delta_m = _FALSE_; ppt->has_source_delta_cb = _FALSE_; + ppt->has_source_delta_tot = _FALSE_; ppt->has_source_delta_g = _FALSE_; ppt->has_source_delta_b = _FALSE_; ppt->has_source_delta_cdm = _FALSE_; + ppt->has_source_delta_idm = _FALSE_; ppt->has_source_delta_dcdm = _FALSE_; ppt->has_source_delta_fld = _FALSE_; ppt->has_source_delta_scf = _FALSE_; - ppt->has_source_phi_smg = _FALSE_; //scalar field ppt->has_source_delta_dr = _FALSE_; ppt->has_source_delta_ur = _FALSE_; + ppt->has_source_delta_idr = _FALSE_; ppt->has_source_delta_ncdm = _FALSE_; + ppt->has_source_delta_tot = _FALSE_; ppt->has_source_theta_m = _FALSE_; ppt->has_source_theta_cb = _FALSE_; + ppt->has_source_theta_tot = _FALSE_; ppt->has_source_theta_g = _FALSE_; ppt->has_source_theta_b = _FALSE_; ppt->has_source_theta_cdm = _FALSE_; + ppt->has_source_theta_idm = _FALSE_; ppt->has_source_theta_dcdm = _FALSE_; ppt->has_source_theta_fld = _FALSE_; ppt->has_source_theta_scf = _FALSE_; - ppt->has_source_phi_prime_smg = _FALSE_; //scalar field ppt->has_source_theta_dr = _FALSE_; ppt->has_source_theta_ur = _FALSE_; + ppt->has_source_theta_idr = _FALSE_; ppt->has_source_theta_ncdm = _FALSE_; + ppt->has_source_theta_tot = _FALSE_; ppt->has_source_phi = _FALSE_; ppt->has_source_phi_prime = _FALSE_; ppt->has_source_phi_plus_psi = _FALSE_; @@ -740,6 +1223,10 @@ int perturb_indices_of_perturbs( ppt->has_source_h_prime = _FALSE_; ppt->has_source_eta = _FALSE_; ppt->has_source_eta_prime = _FALSE_; + ppt->has_source_H_T_Nb_prime = _FALSE_; + ppt->has_source_k2gamma_Nb = _FALSE_; + ppt->has_source_x_smg = _FALSE_; + ppt->has_source_x_prime_smg = _FALSE_; /** - source flags and indices, for sources that all modes have in common (temperature, polarization, ...). For temperature, the @@ -770,12 +1257,12 @@ int perturb_indices_of_perturbs( - /** - define k values with perturb_get_k_list() */ + /** - define k values with perturbations_get_k_list() */ - class_call(perturb_get_k_list(ppr, - pba, - pth, - ppt), + class_call(perturbations_get_k_list(ppr, + pba, + pth, + ppt), ppt->error_message, ppt->error_message); @@ -797,6 +1284,7 @@ int perturb_indices_of_perturbs( if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_nl_corrections_based_on_delta_m)) { ppt->has_lss = _TRUE_; ppt->has_source_delta_m = _TRUE_; + if (pba->has_ncdm == _TRUE_){ ppt->has_source_delta_cb = _TRUE_; } @@ -804,10 +1292,14 @@ int perturb_indices_of_perturbs( if (ppt->has_density_transfers == _TRUE_) { ppt->has_lss = _TRUE_; + ppt->has_source_delta_tot = _TRUE_; + ppt->has_source_delta_m = _TRUE_; ppt->has_source_delta_g = _TRUE_; ppt->has_source_delta_b = _TRUE_; if (pba->has_cdm == _TRUE_) ppt->has_source_delta_cdm = _TRUE_; + if (pba->has_idm == _TRUE_) + ppt->has_source_delta_idm = _TRUE_; if (pba->has_dcdm == _TRUE_) ppt->has_source_delta_dcdm = _TRUE_; if (pba->has_fld == _TRUE_) @@ -816,12 +1308,14 @@ int perturb_indices_of_perturbs( ppt->has_source_delta_scf = _TRUE_; if (pba->has_ur == _TRUE_) ppt->has_source_delta_ur = _TRUE_; - if (pba->has_smg == _TRUE_) - ppt->has_source_phi_smg = _TRUE_; + if (pba->has_idr == _TRUE_) + ppt->has_source_delta_idr = _TRUE_; if (pba->has_dr == _TRUE_) ppt->has_source_delta_dr = _TRUE_; if (pba->has_ncdm == _TRUE_) ppt->has_source_delta_ncdm = _TRUE_; + if(pba->has_smg == _TRUE_) + ppt->has_source_x_smg = _TRUE_; // Thanks to the following lines, (phi,psi) are also stored as sources // (Obtained directly in newtonian gauge, infereed from (h,eta) in synchronous gauge). // If density transfer functions are requested in the (default) CLASS format, @@ -832,24 +1326,29 @@ int perturb_indices_of_perturbs( if (ppt->has_velocity_transfers == _TRUE_) { ppt->has_lss = _TRUE_; + ppt->has_source_theta_tot = _TRUE_; ppt->has_source_theta_g = _TRUE_; ppt->has_source_theta_b = _TRUE_; if ((pba->has_cdm == _TRUE_) && (ppt->gauge != synchronous)) ppt->has_source_theta_cdm = _TRUE_; + if (pba->has_idm == _TRUE_) + ppt->has_source_theta_idm = _TRUE_; if (pba->has_dcdm == _TRUE_) ppt->has_source_theta_dcdm = _TRUE_; if (pba->has_fld == _TRUE_) ppt->has_source_theta_fld = _TRUE_; if (pba->has_scf == _TRUE_) ppt->has_source_theta_scf = _TRUE_; - if (pba->has_smg == _TRUE_) - ppt->has_source_phi_prime_smg = _TRUE_; if (pba->has_ur == _TRUE_) ppt->has_source_theta_ur = _TRUE_; + if (pba->has_idr == _TRUE_) + ppt->has_source_theta_idr = _TRUE_; if (pba->has_dr == _TRUE_) ppt->has_source_theta_dr = _TRUE_; if (pba->has_ncdm == _TRUE_) ppt->has_source_theta_ncdm = _TRUE_; + if(pba->has_smg == _TRUE_) + ppt->has_source_x_prime_smg = _TRUE_; } if (ppt->has_cl_number_count == _TRUE_) { @@ -863,8 +1362,9 @@ int perturb_indices_of_perturbs( /* we may not need theta_cb at all, rsd always defined for the total matter, but at least this is made available */ - ppt->has_source_theta_cb = _TRUE_; + ppt->has_source_theta_cb = _TRUE_; } + if (ppt->has_nc_lens == _TRUE_) { ppt->has_source_phi_plus_psi = _TRUE_; } @@ -876,7 +1376,7 @@ int perturb_indices_of_perturbs( } } - if ( ppt->has_metricpotential_transfers == _TRUE_ ) { + if (ppt->has_metricpotential_transfers == _TRUE_ ) { if (ppt->gauge == newtonian) { ppt->has_source_phi = _TRUE_; ppt->has_source_psi = _TRUE_; @@ -888,6 +1388,18 @@ int perturb_indices_of_perturbs( ppt->has_source_eta = _TRUE_; ppt->has_source_eta_prime = _TRUE_; } + ppt->has_source_H_T_Nb_prime = _TRUE_; + ppt->has_source_k2gamma_Nb = _TRUE_; + } + + if (ppt->has_Nbody_gauge_transfers == _TRUE_){ + if (ppt->gauge == synchronous) { + ppt->has_source_h_prime = _TRUE_; + ppt->has_source_eta_prime = _TRUE_; + } + ppt->has_source_H_T_Nb_prime = _TRUE_; + /** gamma is not neccessary for converting output to Nbody gauge but is included anyway. */ + ppt->has_source_k2gamma_Nb = _TRUE_; } index_type = index_type_common; @@ -895,27 +1407,31 @@ int perturb_indices_of_perturbs( class_define_index(ppt->index_tp_t1, ppt->has_source_t, index_type,1); class_define_index(ppt->index_tp_delta_m, ppt->has_source_delta_m, index_type,1); class_define_index(ppt->index_tp_delta_cb, ppt->has_source_delta_cb, index_type,1); + class_define_index(ppt->index_tp_delta_tot, ppt->has_source_delta_tot, index_type,1); class_define_index(ppt->index_tp_delta_g, ppt->has_source_delta_g, index_type,1); class_define_index(ppt->index_tp_delta_b, ppt->has_source_delta_b, index_type,1); class_define_index(ppt->index_tp_delta_cdm, ppt->has_source_delta_cdm, index_type,1); + class_define_index(ppt->index_tp_delta_idm, ppt->has_source_delta_idm, index_type,1); class_define_index(ppt->index_tp_delta_dcdm, ppt->has_source_delta_dcdm,index_type,1); class_define_index(ppt->index_tp_delta_fld, ppt->has_source_delta_fld, index_type,1); class_define_index(ppt->index_tp_delta_scf, ppt->has_source_delta_scf, index_type,1); - class_define_index(ppt->index_tp_phi_smg, ppt->has_source_phi_smg, index_type,1); - class_define_index(ppt->index_tp_delta_dr, ppt->has_source_delta_dr, index_type,1); + class_define_index(ppt->index_tp_delta_dr, ppt->has_source_delta_dr, index_type,1); class_define_index(ppt->index_tp_delta_ur, ppt->has_source_delta_ur, index_type,1); + class_define_index(ppt->index_tp_delta_idr, ppt->has_source_delta_idr, index_type,1); class_define_index(ppt->index_tp_delta_ncdm1,ppt->has_source_delta_ncdm,index_type,pba->N_ncdm); class_define_index(ppt->index_tp_theta_m, ppt->has_source_theta_m, index_type,1); class_define_index(ppt->index_tp_theta_cb, ppt->has_source_theta_cb, index_type,1); + class_define_index(ppt->index_tp_theta_tot, ppt->has_source_theta_tot, index_type,1); class_define_index(ppt->index_tp_theta_g, ppt->has_source_theta_g, index_type,1); class_define_index(ppt->index_tp_theta_b, ppt->has_source_theta_b, index_type,1); class_define_index(ppt->index_tp_theta_cdm, ppt->has_source_theta_cdm, index_type,1); + class_define_index(ppt->index_tp_theta_idm, ppt->has_source_theta_idm, index_type,1); class_define_index(ppt->index_tp_theta_dcdm, ppt->has_source_theta_dcdm,index_type,1); class_define_index(ppt->index_tp_theta_fld, ppt->has_source_theta_fld, index_type,1); class_define_index(ppt->index_tp_theta_scf, ppt->has_source_theta_scf, index_type,1); - class_define_index(ppt->index_tp_phi_prime_smg, ppt->has_source_phi_prime_smg, index_type,1); class_define_index(ppt->index_tp_theta_dr, ppt->has_source_theta_dr, index_type,1); class_define_index(ppt->index_tp_theta_ur, ppt->has_source_theta_ur, index_type,1); + class_define_index(ppt->index_tp_theta_idr, ppt->has_source_theta_idr, index_type,1); class_define_index(ppt->index_tp_theta_ncdm1,ppt->has_source_theta_ncdm,index_type,pba->N_ncdm); class_define_index(ppt->index_tp_phi, ppt->has_source_phi, index_type,1); class_define_index(ppt->index_tp_phi_prime, ppt->has_source_phi_prime, index_type,1); @@ -925,6 +1441,10 @@ int perturb_indices_of_perturbs( class_define_index(ppt->index_tp_h_prime, ppt->has_source_h_prime, index_type,1); class_define_index(ppt->index_tp_eta, ppt->has_source_eta, index_type,1); class_define_index(ppt->index_tp_eta_prime, ppt->has_source_eta_prime, index_type,1); + class_define_index(ppt->index_tp_H_T_Nb_prime,ppt->has_source_H_T_Nb_prime,index_type,1); + class_define_index(ppt->index_tp_k2gamma_Nb, ppt->has_source_k2gamma_Nb,index_type,1); + if (pba->has_smg == _TRUE_) + perturbations_define_indices_tp_smg(ppt,&index_type); ppt->tp_size[index_md] = index_type; class_test(index_type == 0, @@ -958,9 +1478,9 @@ int perturb_indices_of_perturbs( ppt->tp_size[index_md] = index_type; /* - class_test(index_type == 0, - ppt->error_message, - "inconsistent input: you asked for vectors, so you should have at least one non-zero vector source type (temperature or polarization). Please adjust your input."); + class_test(index_type == 0, + ppt->error_message, + "inconsistent input: you asked for vectors, so you should have at least one non-zero vector source type (temperature or polarization). Please adjust your input."); */ /** - --> initial conditions for vectors*/ @@ -981,9 +1501,9 @@ int perturb_indices_of_perturbs( ppt->tp_size[index_md] = index_type; /* - class_test(index_type == 0, - ppt->error_message, - "inconsistent input: you asked for tensors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); + class_test(index_type == 0, + ppt->error_message, + "inconsistent input: you asked for tensors, so you should have at least one non-zero tensor source type (temperature or polarization). Please adjust your input."); */ /** - --> only one initial condition for tensors*/ @@ -1000,6 +1520,24 @@ int perturb_indices_of_perturbs( ppt->ic_size[index_md] * ppt->tp_size[index_md] * sizeof(double *), ppt->error_message); + class_alloc(ppt->late_sources[index_md], + ppt->ic_size[index_md] * ppt->tp_size[index_md] * sizeof(double *), + ppt->error_message); + + class_alloc(ppt->ddlate_sources[index_md], + ppt->ic_size[index_md] * ppt->tp_size[index_md] * sizeof(double *), + ppt->error_message); + + } + + /* Allocate the titles and data sections for the output file */ + ppt->number_of_scalar_titles=0; + ppt->number_of_vector_titles=0; + ppt->number_of_tensor_titles=0; + for (filenum = 0; filenum<_MAX_NUMBER_OF_K_FILES_; filenum++){ + ppt->scalar_perturbations_data[filenum] = NULL; + ppt->vector_perturbations_data[filenum] = NULL; + ppt->tensor_perturbations_data[filenum] = NULL; } return _SUCCESS_; @@ -1020,12 +1558,12 @@ int perturb_indices_of_perturbs( * @return the error status */ -int perturb_timesampling_for_sources( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ) { +int perturbations_timesampling_for_sources( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ) { /** Summary: */ @@ -1033,8 +1571,10 @@ int perturb_timesampling_for_sources( int counter; int index_md; - int index_type; + int index_tp; int index_ic; + int index_tau; + int index_ln_tau; int last_index_back; int last_index_thermo; int first_index_back; @@ -1056,9 +1596,15 @@ int perturb_timesampling_for_sources( /** - allocate background/thermodynamics vectors */ - class_alloc(pvecback,pba->bg_size_short*sizeof(double),ppt->error_message); + class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); class_alloc(pvecthermo,pth->th_size*sizeof(double),ppt->error_message); + /** - check validity of age_fraction precision parameter */ + class_test((ppr->perturbations_sampling_boost_above_age_fraction < 0.) || (ppr->perturbations_sampling_boost_above_age_fraction > 1.), + ppt->error_message, + "The precision parameter perturbations_sampling_boost_above_age_fraction should be between 0 and 1, not %e", + ppr->perturbations_sampling_boost_above_age_fraction); + /** - first, just count the number of sampling points in order to allocate the array containing all values */ /** - (a) if CMB requested, first sampling point = when the universe @@ -1079,8 +1625,8 @@ int perturb_timesampling_for_sources( class_call(background_at_tau(pba, tau_lower, - pba->short_info, - pba->inter_normal, + short_info, + inter_normal, &first_index_back, pvecback), pba->error_message, @@ -1089,7 +1635,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_normal, + inter_normal, &first_index_thermo, pvecback, pvecthermo), @@ -1109,8 +1655,8 @@ int perturb_timesampling_for_sources( class_call(background_at_tau(pba, tau_upper, - pba->short_info, - pba->inter_normal, + short_info, + inter_normal, &first_index_back, pvecback), pba->error_message, @@ -1119,7 +1665,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_normal, + inter_normal, &first_index_thermo, pvecback, pvecthermo), @@ -1139,8 +1685,8 @@ int perturb_timesampling_for_sources( class_call(background_at_tau(pba, tau_mid, - pba->short_info, - pba->inter_normal, + short_info, + inter_normal, &first_index_back, pvecback), pba->error_message, @@ -1149,7 +1695,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_normal, + inter_normal, &first_index_thermo, pvecback, pvecthermo), @@ -1175,7 +1721,11 @@ int perturb_timesampling_for_sources( } else { - /* check the time corresponding to the highest redshift requested in output plus one */ + /* check the time corresponding to the highest redshift requested + in output plus 1, tau(z_max_pk+1). This margin of 1 aims at + adding a few sampled values above z_max_pk, to make + interpolations more relia=ble up to z_max_pk, without boundary + effects. */ class_call(background_tau_of_z(pba, ppt->z_max_pk+1, &tau_ini), @@ -1188,8 +1738,8 @@ int perturb_timesampling_for_sources( /* set values of first_index_back/thermo */ class_call(background_at_tau(pba, tau_ini, - pba->short_info, - pba->inter_normal, + short_info, + inter_normal, &first_index_back, pvecback), pba->error_message, @@ -1198,7 +1748,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_normal, + inter_normal, &first_index_thermo, pvecback, pvecthermo), @@ -1206,7 +1756,7 @@ int perturb_timesampling_for_sources( ppt->error_message); } - /** - (b) next sampling point = previous + ppr->perturb_sampling_stepsize * timescale_source, where: + /** - (b) next sampling point = previous + ppr->perturbations_sampling_stepsize * timescale_source, where: - --> if CMB requested: timescale_source1 = \f$ |g/\dot{g}| = |\dot{\kappa}-\ddot{\kappa}/\dot{\kappa}|^{-1} \f$; timescale_source2 = \f$ |2\ddot{a}/a-(\dot{a}/a)^2|^{-1/2} \f$ (to sample correctly the late ISW effect; and @@ -1224,8 +1774,8 @@ int perturb_timesampling_for_sources( class_call(background_at_tau(pba, tau, - pba->short_info, - pba->inter_closeby, + short_info, + inter_closeby, &last_index_back, pvecback), pba->error_message, @@ -1234,7 +1784,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_closeby, + inter_closeby, &last_index_thermo, pvecback, pvecthermo), @@ -1263,20 +1813,27 @@ int perturb_timesampling_for_sources( } /* check it is non-zero */ - class_test_except(timescale_source == 0., + class_test(timescale_source == 0., ppt->error_message, - free(pvecback);free(pvecthermo), "null evolution rate, integration is diverging"); /* compute inverse rate */ timescale_source = 1./timescale_source; - class_test_except(fabs(ppr->perturb_sampling_stepsize*timescale_source/tau) < ppr->smallest_allowed_variation, + /* added in v3.2.2: age fraction (between 0 and 1 ) such that, + when tau > conformal_age * age_fraction, the time sampling of + sources is twice finer, in order to boost the accuracy of the + lensing line-of-sight integrals without changing that of + unlensed CMB observables */ + if (tau > pba->conformal_age * ppr->perturbations_sampling_boost_above_age_fraction) { + timescale_source /= 2.; + } + + class_test(fabs(ppr->perturbations_sampling_stepsize*timescale_source/tau) < ppr->smallest_allowed_variation, ppt->error_message, - free(pvecback);free(pvecthermo), - "integration step =%e < machine precision : leads either to numerical error or infinite loop",ppr->perturb_sampling_stepsize*timescale_source); + "integration step =%e < machine precision : leads either to numerical error or infinite loop",ppr->perturbations_sampling_stepsize*timescale_source); - tau = tau + ppr->perturb_sampling_stepsize*timescale_source; + tau = tau + ppr->perturbations_sampling_stepsize*timescale_source; counter++; } @@ -1294,7 +1851,7 @@ int perturb_timesampling_for_sources( counter = 0; ppt->tau_sampling[counter]=tau_ini; - /** - --> (b.2.) next sampling point = previous + ppr->perturb_sampling_stepsize * timescale_source, where + /** - --> (b.2.) next sampling point = previous + ppr->perturbations_sampling_stepsize * timescale_source, where timescale_source1 = \f$ |g/\dot{g}| = |\dot{\kappa}-\ddot{\kappa}/\dot{\kappa}|^{-1} \f$; timescale_source2 = \f$ |2\ddot{a}/a-(\dot{a}/a)^2|^{-1/2} \f$ (to sample correctly the late ISW effect; and timescale_source=1/(1/timescale_source1+1/timescale_source2); repeat till today. @@ -1309,8 +1866,8 @@ int perturb_timesampling_for_sources( class_call(background_at_tau(pba, tau, - pba->short_info, - pba->inter_closeby, + short_info, + inter_closeby, &last_index_back, pvecback), pba->error_message, @@ -1319,7 +1876,7 @@ int perturb_timesampling_for_sources( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_closeby, + inter_closeby, &last_index_thermo, pvecback, pvecthermo), @@ -1346,20 +1903,27 @@ int perturb_timesampling_for_sources( } /* check it is non-zero */ - class_test_except(timescale_source == 0., + class_test(timescale_source == 0., ppt->error_message, - free(pvecback);free(pvecthermo), "null evolution rate, integration is diverging"); /* compute inverse rate */ timescale_source = 1./timescale_source; - class_test_except(fabs(ppr->perturb_sampling_stepsize*timescale_source/tau) < ppr->smallest_allowed_variation, + /* added in v3.2.2: age fraction (between 0 and 1 ) such that, + when tau > conformal_age * age_fraction, the time sampling of + sources is twice finer, in order to boost the accuracy of the + lensing line-of-sight integrals without changing that of + unlensed CMB observables */ + if (tau > pba->conformal_age * ppr->perturbations_sampling_boost_above_age_fraction) { + timescale_source /= 2.; + } + + class_test(fabs(ppr->perturbations_sampling_stepsize*timescale_source/tau) < ppr->smallest_allowed_variation, ppt->error_message, - free(pvecback);free(pvecthermo), - "integration step =%e < machine precision : leads either to numerical error or infinite loop",ppr->perturb_sampling_stepsize*timescale_source); + "integration step =%e < machine precision : leads either to numerical error or infinite loop",ppr->perturbations_sampling_stepsize*timescale_source); - tau = tau + ppr->perturb_sampling_stepsize*timescale_source; + tau = tau + ppr->perturbations_sampling_stepsize*timescale_source; counter++; ppt->tau_sampling[counter]=tau; @@ -1371,17 +1935,87 @@ int perturb_timesampling_for_sources( free(pvecback); free(pvecthermo); + /** - check the maximum redshift z_max_pk at which the Fourier + transfer functions \f$ T_i(k,z)\f$ should be computable by + interpolation. If it is equal to zero, only \f$ T_i(k,z=0)\f$ + needs to be computed. If it is higher, we will store a table of + log(tau) in the relevant time range, generously encompassing the + range 0z_max_pk < 0, + ppt->error_message, + "asked for negative redshift z=%e",ppt->z_max_pk); + + /* if z_max_pk=0, there is just one value to store */ + if (ppt->z_max_pk == 0.) { + ppt->ln_tau_size=1; + } + + /* if z_max_pk>0, store several values (with a comfortable margin above z_max_pk) in view of interpolation */ + else{ + /* find the first relevant value of tau (last value in the table tau_sampling before tau(z_max)) and infer the number of values of tau at which P(k) must be stored */ + + class_call(background_tau_of_z(pba,ppt->z_max_pk,&tau_lower), + pba->error_message, + ppt->error_message); + + index_tau=0; + class_test((tau_lower <= ppt->tau_sampling[index_tau]), + ppt->error_message, + "you asked for zmax=%e, i.e. taumin=%e, smaller than or equal to the first possible value =%e; it should be strictly bigger for a successfull interpolation",ppt->z_max_pk,tau_lower,ppt->tau_sampling[0]); + + /* skip all values of tau such that z>z_max_pk */ + while (ppt->tau_sampling[index_tau] < tau_lower){ + index_tau++; + } + index_tau --; + + /* now we are at the largest value of tau such that z>z_max_pk. */ + class_test(index_tau<0, + ppt->error_message, + "by construction, this should never happen, a bug must have been introduced somewhere"); + + /* whenever possible, take a few more values in to avoid boundary effects in the interpolation */ + if (index_tau>0) index_tau--; + if (index_tau>0) index_tau--; + if (index_tau>0) index_tau--; + if (index_tau>0) index_tau--; + ppt->ln_tau_size=ppt->tau_size-index_tau; + + /* allocate and fill array of log(tau). + The arrays tau_sampling[] and ln_tau[] refer + to the same times, but their indices are shifted by + (-ppt->ln_tau_size+ppt->tau_size), such that index_ln_tau=0 + corresponds to index_tau=ppt->tau_size-ppt->ln_tau_size a*/ + class_alloc(ppt->ln_tau,ppt->ln_tau_size * sizeof(double),ppt->error_message); + + for (index_ln_tau=0; index_ln_tauln_tau_size; index_ln_tau++) { + ppt->ln_tau[index_ln_tau]=log(ppt->tau_sampling[index_ln_tau-ppt->ln_tau_size+ppt->tau_size]); + } + } + /** - loop over modes, initial conditions and types. For each of them, allocate array of source functions. */ for (index_md = 0; index_md < ppt->md_size; index_md++) { for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { - for (index_type = 0; index_type < ppt->tp_size[index_md]; index_type++) { + for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { - class_alloc(ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_type], + class_alloc(ppt->sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp], ppt->k_size[index_md] * ppt->tau_size * sizeof(double), ppt->error_message); + if (ppt->ln_tau_size > 1) { + /* late_sources is just a pointer to the end of sources (starting from the relevant time index) */ + ppt->late_sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp] = &(ppt->sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [(ppt->tau_size-ppt->ln_tau_size) * ppt->k_size[index_md]]); + + class_alloc(ppt->ddlate_sources[index_md][index_ic*ppt->tp_size[index_md]+index_tp], + ppt->k_size[index_md] * ppt->ln_tau_size * sizeof(double), + ppt->error_message); + } } } } @@ -1400,12 +2034,12 @@ int perturb_timesampling_for_sources( * @return the error status */ -int perturb_get_k_list( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt - ) { +int perturbations_get_k_list( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt + ) { int index_k, index_k_output, index_mode; double k,k_min=0.,k_rec,step,tau1; double * k_max_cmb; @@ -1523,7 +2157,10 @@ int perturb_get_k_list( k_max = MAX(k_max,ppt->k_max_for_pk); if (ppt->has_nl_corrections_based_on_delta_m == _TRUE_) - k_max = MAX(k_max,ppr->halofit_min_k_max); + k_max = MAX(k_max,ppr->nonlinear_min_k_max); + + if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->want_lcmb_full_limber == _TRUE_)) + k_max = MAX(k_max, ppr->k_max_limber_over_l_max_scalars * ppt->l_scalar_max); /** - --> test that result for k_min, k_max make sense */ @@ -1550,10 +2187,20 @@ int perturb_get_k_list( K=0, K<0, K>0 */ /* allocate array with, for the moment, the largest possible size */ - class_alloc(ppt->k[ppt->index_md_scalars], - ((int)((k_max_cmb[ppt->index_md_scalars]-k_min)/k_rec/MIN(ppr->k_step_super,ppr->k_step_sub))+ - (int)(MAX(ppr->k_per_decade_for_pk,ppr->k_per_decade_for_bao)*log(k_max/k_min)/log(10.))+3) - *sizeof(double),ppt->error_message); + + /* the following is a boost on k_per_decade_for_pk for the interacting idm-idr cases (relevant for large k and a_idm_dr) */ + if ((pth->has_idm_dr==_TRUE_)&&(pth->n_index_idm_dr>=2)){ + class_alloc(ppt->k[ppt->index_md_scalars], + ((int)((k_max_cmb[ppt->index_md_scalars]-k_min)/k_rec/MIN(ppr->k_step_super,ppr->k_step_sub))+ + (int)(MAX(ppr->k_per_decade_for_pk*ppr->idmdr_boost_k_per_decade_for_pk*pth->n_index_idm_dr,ppr->k_per_decade_for_bao)*log(k_max/k_min)/log(10.))+3) + *sizeof(double),ppt->error_message); + } + else { + class_alloc(ppt->k[ppt->index_md_scalars], + ((int)((k_max_cmb[ppt->index_md_scalars]-k_min)/k_rec/MIN(ppr->k_step_super,ppr->k_step_sub))+ + (int)(MAX(ppr->k_per_decade_for_pk,ppr->k_per_decade_for_bao)*log(k_max/k_min)/log(10.))+3) + *sizeof(double),ppt->error_message); + } /* first value */ @@ -1586,7 +2233,7 @@ int perturb_get_k_list( stepsize is still fixed by k_step_super, this is just a reduction factor. */ - scale2 = pow(pba->a_today*pba->H0,2)+fabs(pba->K); + scale2 = pow(pba->H0,2)+fabs(pba->K); step *= (k*k/scale2+1.)/(k*k/scale2+1./ppr->k_step_super_reduction); @@ -1622,22 +2269,33 @@ int perturb_get_k_list( ppt->k_size_cl[ppt->index_md_scalars] = index_k; - /* values until k_max */ + /* values until k_max; find ppt->k_size_pk along the way */ - while (k < k_max) { + ppt->k_size_pk = 0; - k *= pow(10.,1./(ppr->k_per_decade_for_pk - +(ppr->k_per_decade_for_bao-ppr->k_per_decade_for_pk) - *(1.-tanh(pow((log(k)-log(ppr->k_bao_center*k_rec))/log(ppr->k_bao_width),4))))); + while (k < k_max) { + if ((pth->has_idm_dr==_TRUE_)&&(pth->n_index_idm_dr>=2)){ + k *= pow(10.,1./(ppr->k_per_decade_for_pk*ppr->idmdr_boost_k_per_decade_for_pk*pth->n_index_idm_dr + +(ppr->k_per_decade_for_bao-ppr->k_per_decade_for_pk*ppr->idmdr_boost_k_per_decade_for_pk*pth->n_index_idm_dr) + *(1.-tanh(pow((log(k)-log(ppr->k_bao_center*k_rec))/log(ppr->k_bao_width),4))))); + } + else { + k *= pow(10.,1./(ppr->k_per_decade_for_pk + +(ppr->k_per_decade_for_bao-ppr->k_per_decade_for_pk) + *(1.-tanh(pow((log(k)-log(ppr->k_bao_center*k_rec))/log(ppr->k_bao_width),4))))); + } ppt->k[ppt->index_md_scalars][index_k] = k; + index_k++; + + if ((ppt->k_size_pk == 0) && (k>ppt->k_max_for_pk)) + ppt->k_size_pk = index_k; } ppt->k_size[ppt->index_md_scalars] = index_k; class_realloc(ppt->k[ppt->index_md_scalars], - ppt->k[ppt->index_md_scalars], ppt->k_size[ppt->index_md_scalars]*sizeof(double), ppt->error_message); } @@ -1746,7 +2404,7 @@ int perturb_get_k_list( stepsize is still fixed by k_step_super, this is just a reduction factor. */ - scale2 = pow(pba->a_today*pba->H0,2)+fabs(pba->K); + scale2 = pow(pba->H0,2)+fabs(pba->K); step *= (k*k/scale2+1.)/(k*k/scale2+1./ppr->k_step_super_reduction); @@ -1771,7 +2429,6 @@ int perturb_get_k_list( ppt->k_size[ppt->index_md_vectors] = index_k; class_realloc(ppt->k[ppt->index_md_vectors], - ppt->k[ppt->index_md_vectors], ppt->k_size[ppt->index_md_vectors]*sizeof(double), ppt->error_message); } @@ -1880,7 +2537,7 @@ int perturb_get_k_list( stepsize is still fixed by k_step_super, this is just a reduction factor. */ - scale2 = pow(pba->a_today*pba->H0,2)+fabs(pba->K); + scale2 = pow(pba->H0,2)+fabs(pba->K); step *= (k*k/scale2+1.)/(k*k/scale2+1./ppr->k_step_super_reduction); @@ -1905,13 +2562,16 @@ int perturb_get_k_list( ppt->k_size[ppt->index_md_tensors] = index_k; class_realloc(ppt->k[ppt->index_md_tensors], - ppt->k[ppt->index_md_tensors], ppt->k_size[ppt->index_md_tensors]*sizeof(double), ppt->error_message); } + /* Set default of the array (do NOT remove) */ + //ppt->index_k_output_values = NULL; + /** - If user asked for k_output_values, add those to all k lists: */ - if (ppt->k_output_values_num>0){ + if (ppt->k_output_values_num > 0) { + /* Allocate storage */ class_alloc(ppt->index_k_output_values,sizeof(double)*ppt->md_size*ppt->k_output_values_num,ppt->error_message); @@ -1971,13 +2631,13 @@ int perturb_get_k_list( /* For testing, can be useful to print the k list in a file: - FILE * out=fopen("output/k","w"); + FILE * out=fopen("output/k","w"); - for (index_k=0; index_k < ppt->k_size[0]; index_k++) { + for (index_k=0; index_k < ppt->k_size[0]; index_k++) { - fprintf(out,"%e\n",ppt->k[0][index_k],pba->K); + fprintf(out,"%e\n",ppt->k[0][index_k],pba->K); - } + } fclose(out); */ @@ -2006,10 +2666,10 @@ int perturb_get_k_list( } /** - * Initialize a perturb_workspace structure. All fields are allocated - * here, with the exception of the perturb_vector '-->pv' field, which - * is allocated separately in perturb_vector_init. We allocate one - * such perturb_workspace structure per thread and per mode + * Initialize a perturbations_workspace structure. All fields are allocated + * here, with the exception of the perturbations_vector '-->pv' field, which + * is allocated separately in perturbations_vector_init. We allocate one + * such perturbations_workspace structure per thread and per mode * (scalar/../tensor). Then, for each thread, all initial conditions * and wavenumbers will use the same workspace. * @@ -2018,18 +2678,18 @@ int perturb_get_k_list( * @param pth Input: pointer to the thermodynamics structure * @param ppt Input: pointer to the perturbation structure * @param index_md Input: index of mode under consideration (scalar/.../tensor) - * @param ppw Input/Output: pointer to perturb_workspace structure which fields are allocated or filled here + * @param ppw Input/Output: pointer to perturbations_workspace structure which fields are allocated or filled here * @return the error status */ -int perturb_workspace_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - struct perturb_workspace * ppw - ) { +int perturbations_workspace_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + struct perturbations_workspace * ppw + ) { /** Summary: */ @@ -2043,6 +2703,7 @@ int perturb_workspace_init( if (_scalars_) { ppw->max_l_max = MAX(ppr->l_max_g, ppr->l_max_pol_g); if (pba->has_ur == _TRUE_) ppw->max_l_max = MAX(ppw->max_l_max, ppr->l_max_ur); + if ((pba->has_idr == _TRUE_) && (ppt->idr_nature == idr_free_streaming)) ppw->max_l_max = MAX(ppw->max_l_max, ppr->l_max_idr); if (pba->has_ncdm == _TRUE_) ppw->max_l_max = MAX(ppw->max_l_max, ppr->l_max_ncdm); if (pba->has_dr == _TRUE_) ppw->max_l_max = MAX(ppw->max_l_max, ppr->l_max_dr); } @@ -2064,7 +2725,7 @@ int perturb_workspace_init( vector of metric perturbations is the same whatever the approximation scheme, unlike the vector of quantities to be integrated, which is allocated separately in - perturb_vector_init) */ + perturbations_vector_init) */ if (_scalars_) { @@ -2082,13 +2743,14 @@ int perturb_workspace_init( if (ppt->gauge == synchronous) { class_define_index(ppw->index_mt_h_prime,_TRUE_,index_mt,1); /* h' */ class_define_index(ppw->index_mt_h_prime_prime,_TRUE_,index_mt,1); /* h'' */ + class_define_index(ppw->index_mt_eta,_TRUE_,index_mt,1); /* eta */ class_define_index(ppw->index_mt_eta_prime,_TRUE_,index_mt,1); /* eta' */ class_define_index(ppw->index_mt_alpha,_TRUE_,index_mt,1); /* alpha = (h' + 6 tau') / (2 k**2) */ class_define_index(ppw->index_mt_alpha_prime,_TRUE_,index_mt,1); /* alpha' */ - class_define_index(ppw->index_mt_vx_smg,pba->has_smg,index_mt,1); /* vx_smg (can be dynamical or not) */ - class_define_index(ppw->index_mt_vx_prime_smg,pba->has_smg,index_mt,1); /* vx_smg' (can be dynamical or not) */ - class_define_index(ppw->index_mt_vx_prime_prime_smg,pba->has_smg,index_mt,1); /* vx_smg'' (passed to integrator) */ - class_define_index(ppw->index_mt_rsa_p_smg,pba->has_smg,index_mt,1); /**< correction to the evolution of ur and g species in radiation streaming approximation due to non-negligible pressure at late-times*/ + class_define_index(ppw->index_mt_einstein00,_TRUE_,index_mt,1); // not only _smg + if (pba->has_smg == _TRUE_) + perturbations_define_indices_mt_smg(ppw, &index_mt); + } } @@ -2121,7 +2783,7 @@ int perturb_workspace_init( values of background, thermodynamics, metric and source quantities at a given time */ - class_alloc(ppw->pvecback,pba->bg_size_normal*sizeof(double),ppt->error_message); + class_alloc(ppw->pvecback,pba->bg_size*sizeof(double),ppt->error_message); class_alloc(ppw->pvecthermo,pth->th_size*sizeof(double),ppt->error_message); class_alloc(ppw->pvecmetric,ppw->mt_size*sizeof(double),ppt->error_message); @@ -2135,10 +2797,12 @@ int perturb_workspace_init( class_define_index(ppw->index_ap_ufa,pba->has_ur,index_ap,1); class_define_index(ppw->index_ap_ncdmfa,pba->has_ncdm,index_ap,1); + class_define_index(ppw->index_ap_tca_idm_dr,pba->has_idr,index_ap,1); + class_define_index(ppw->index_ap_rsa_idr,pba->has_idr,index_ap,1); + if (pba->has_smg == _TRUE_) + perturbations_define_indices_ap_smg(ppw, &index_ap); - class_define_index(ppw->index_ap_qs_smg,pba->has_smg,index_ap,1); - -} + } ppw->ap_size=index_ap; @@ -2153,13 +2817,21 @@ int perturb_workspace_init( ppw->approx[ppw->index_ap_tca]=(int)tca_on; ppw->approx[ppw->index_ap_rsa]=(int)rsa_off; + + if (pba->has_idr == _TRUE_) + ppw->approx[ppw->index_ap_rsa_idr]=(int)rsa_idr_off; + if (pba->has_idr == _TRUE_) + ppw->approx[ppw->index_ap_tca_idm_dr]=(int)tca_idm_dr_off; + if (pth->has_idm_dr == _TRUE_) + ppw->approx[ppw->index_ap_tca_idm_dr]=(int)tca_idm_dr_on; + if (pba->has_ur == _TRUE_) { ppw->approx[ppw->index_ap_ufa]=(int)ufa_off; } if (pba->has_ncdm == _TRUE_) { ppw->approx[ppw->index_ap_ncdmfa]=(int)ncdmfa_off; } - if (pba->has_smg == _TRUE_) { + if(pba->has_smg == _TRUE_) { ppw->approx[ppw->index_ap_qs_smg]=(int)qs_smg_fd_0; } } @@ -2188,21 +2860,21 @@ int perturb_workspace_init( } /** - * Free the perturb_workspace structure (with the exception of the - * perturb_vector '-->pv' field, which is freed separately in - * perturb_vector_free). + * Free the perturbations_workspace structure (with the exception of the + * perturbations_vector '-->pv' field, which is freed separately in + * perturbations_vector_free). * * @param ppt Input: pointer to the perturbation structure * @param index_md Input: index of mode under consideration (scalar/.../tensor) - * @param ppw Input: pointer to perturb_workspace structure to be freed + * @param ppw Input: pointer to perturbations_workspace structure to be freed * @return the error status */ -int perturb_workspace_free ( - struct perturbs * ppt, - int index_md, - struct perturb_workspace * ppw - ) { +int perturbations_workspace_free ( + struct perturbations * ppt, + int index_md, + struct perturbations_workspace * ppw + ) { free(ppw->s_l); free(ppw->pvecback); @@ -2220,8 +2892,6 @@ int perturb_workspace_free ( } } - free(ppw); - return _SUCCESS_; } @@ -2233,10 +2903,10 @@ int perturb_workspace_free ( * For a given mode, initial condition and wavenumber, this function * finds the time ranges over which the perturbations can be described * within a given approximation. For each such range, it initializes - * (or redistributes) perturbations using perturb_vector_init(), and + * (or redistributes) perturbations using perturbations_vector_init(), and * integrates over time. Whenever a "source sampling time" is passed, * the source terms are computed and stored in the source table using - * perturb_sources(). + * perturbations_sources(). * * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure @@ -2245,27 +2915,27 @@ int perturb_workspace_free ( * @param index_md Input: index of mode under consideration (scalar/.../tensor) * @param index_ic Input: index of initial condition under consideration (ad, iso...) * @param index_k Input: index of wavenumber - * @param ppw Input: pointer to perturb_workspace structure containing index values and workspaces + * @param ppw Input: pointer to perturbations_workspace structure containing index values and workspaces * @return the error status */ -int perturb_solve( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - int index_ic, - int index_k, - struct perturb_workspace * ppw - ) { +int perturbations_solve( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + int index_ic, + int index_k, + struct perturbations_workspace * ppw + ) { /** Summary: */ /** - define local variables */ - /* contains all fixed parameters, indices and workspaces used by the perturb_derivs function */ - struct perturb_parameters_and_workspace ppaw; + /* contains all fixed parameters, indices and workspaces used by the perturbations_derivs function */ + struct perturbations_parameters_and_workspace ppaw; /* conformal time */ double tau,tau_lower,tau_upper,tau_mid; @@ -2280,7 +2950,7 @@ int perturb_solve( int tau_actual_size; /* running index over types (temperature, etc) */ - int index_type; + int index_tp; /* Fourier mode */ double k; @@ -2308,24 +2978,20 @@ int perturb_solve( int n_ncdm,is_early_enough; - /* array that contains the quasi-static approximation scheme */ - double * tau_scheme_qs_smg; - /* function pointer to ODE evolver and names of possible evolvers */ - extern int evolver_rk(); - extern int evolver_ndf15(); - int (*generic_evolver)(); + + auto generic_evolver = &(evolver_ndf15); /* Related to the perturbation output */ - int (*perhaps_print_variables)(); + int (*perhaps_print_variables)(double, double*, double*, void*, char*); int index_ikout; /** - initialize indices relevant for back/thermo tables search */ ppw->last_index_back=0; ppw->last_index_thermo=0; - ppw->inter_mode = pba->inter_normal; + ppw->inter_mode = inter_normal; /** - get wavenumber value */ k = ppt->k[index_md][index_k]; @@ -2354,8 +3020,8 @@ int perturb_solve( class_call(background_at_tau(pba, tau_lower, - pba->normal_info, - pba->inter_normal, + normal_info, + inter_normal, &(ppw->last_index_back), ppw->pvecback), pba->error_message, @@ -2364,7 +3030,7 @@ int perturb_solve( class_call(thermodynamics_at_z(pba, pth, 1./ppw->pvecback[pba->index_bg_a]-1., - pth->inter_normal, + inter_normal, &(ppw->last_index_thermo), ppw->pvecback, ppw->pvecthermo), @@ -2412,8 +3078,8 @@ int perturb_solve( class_call(background_at_tau(pba, tau_mid, - pba->normal_info, - pba->inter_normal, + normal_info, + inter_normal, &(ppw->last_index_back), ppw->pvecback), pba->error_message, @@ -2433,7 +3099,7 @@ int perturb_solve( class_call(thermodynamics_at_z(pba, pth, 1./ppw->pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_normal, + inter_normal, &(ppw->last_index_thermo), ppw->pvecback, ppw->pvecthermo), @@ -2461,69 +3127,36 @@ int perturb_solve( tau = tau_mid; - /* A second loop starts here to anticipate the initial time if the qs_smg - state is different from ppt->initial_approx_qs_smg. */ if (pba->has_smg == _TRUE_) { - if (ppt->method_qs_smg == automatic) { - tau_upper = tau; - tau_lower = pba->tau_table[0]; - is_early_enough = _FALSE_; - while (((tau_upper - tau_lower)/tau_lower > ppr->tol_tau_approx) && is_early_enough == _FALSE_) { - int approx; - perturb_test_at_k_qs_smg(ppr, - pba, - ppt, - k, - tau_upper, - &approx); - if (approx == ppt->initial_approx_qs_smg) { - is_early_enough = _TRUE_; - } - else { - tau_upper = 0.5*(tau_lower + tau_upper); - } - } - tau = tau_upper; - } + class_call(perturbations_get_approximation_qs_smg(ppr, + pba, + ppt, + ppw, + k, + &tau, + ppt->tau_sampling[tau_actual_size-1]), + ppt->error_message, + ppt->error_message + ); } - /** - find the intervals over which the approximation scheme for qs_smg is constant */ - - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; - class_alloc(tau_scheme_qs_smg,sizeof(qs_array_smg)/sizeof(int)*sizeof(double),ppt->error_message); - - if (pba->has_smg == _TRUE_) { - if ((ppt->method_qs_smg == automatic) || (ppt->method_qs_smg == fully_dynamic_debug) || (ppt->method_qs_smg == quasi_static_debug)) { - class_call(perturb_find_scheme_qs_smg(ppr, - pba, - ppt, - k, - tau, - ppt->tau_sampling[tau_actual_size-1], - tau_scheme_qs_smg), - ppt->error_message, - ppt->error_message); - } - } - - /** - find the number of intervals over which approximation scheme is constant */ + /** - find the number of intervals over which approximation scheme is constant */ class_alloc(interval_number_of,ppw->ap_size*sizeof(int),ppt->error_message); - ppw->inter_mode = pba->inter_normal; - - class_call(perturb_find_approximation_number(ppr, - pba, - pth, - ppt, - index_md, - k, - ppw, - tau, - ppt->tau_sampling[tau_actual_size-1], - &interval_number, - interval_number_of, - tau_scheme_qs_smg), + ppw->inter_mode = inter_normal; + + class_call(perturbations_find_approximation_number(ppr, + pba, + pth, + ppt, + index_md, + k, + ppw, + tau, + ppt->tau_sampling[tau_actual_size-1], + &interval_number, + interval_number_of), ppt->error_message, ppt->error_message); @@ -2534,29 +3167,29 @@ int perturb_solve( for (index_interval=0; index_intervalap_size*sizeof(int),ppt->error_message); - class_call(perturb_find_approximation_switches(ppr, - pba, - pth, - ppt, - index_md, - k, - ppw, - tau, - ppt->tau_sampling[tau_actual_size-1], - ppr->tol_tau_approx, - interval_number, - interval_number_of, - interval_limit, - interval_approx, - tau_scheme_qs_smg), + class_call(perturbations_find_approximation_switches(ppr, + pba, + pth, + ppt, + index_md, + k, + ppw, + tau, + ppt->tau_sampling[tau_actual_size-1], + ppr->tol_tau_approx, + interval_number, + interval_number_of, + interval_limit, + interval_approx), ppt->error_message, ppt->error_message); free(interval_number_of); - free(tau_scheme_qs_smg); + if(pba->has_smg == _TRUE_) + free(ppw->tau_scheme_qs_smg); /** - fill the structure containing all fixed parameters, indices - and workspaces needed by perturb_derivs */ + and workspaces needed by perturbations_derivs */ ppaw.ppr = ppr; ppaw.pba = pba; @@ -2567,7 +3200,7 @@ int perturb_solve( ppaw.index_k = index_k; ppaw.k = k; ppaw.ppw = ppw; - ppaw.ppw->inter_mode = pba->inter_closeby; + ppaw.ppw->inter_mode = inter_closeby; ppaw.ppw->last_index_back = 0; ppaw.ppw->last_index_thermo = 0; @@ -2578,12 +3211,7 @@ int perturb_solve( for (index_ikout=0; index_ikoutk_output_values_num; index_ikout++){ if (ppt->index_k_output_values[index_md*ppt->k_output_values_num+index_ikout] == index_k){ ppw->index_ikout = index_ikout; - perhaps_print_variables = perturb_print_variables; - /* class_call(perturb_prepare_output_file( - pba,ppt,ppw,index_ikout,index_md), - ppt->error_message, - ppt->error_message); - */ + perhaps_print_variables = perturbations_print_variables; } } @@ -2599,7 +3227,7 @@ int perturb_solve( /** - --> (b) get the previous approximation scheme. If the current interval starts from the initial time tau_ini, the previous approximation is set to be a NULL pointer, so that the - function perturb_vector_init() knows that perturbations must + function perturbations_vector_init() knows that perturbations must be initialized */ if (index_interval==0) { @@ -2616,74 +3244,79 @@ int perturb_solve( redistribute correctly the perturbations from the previous to the new vector of perturbations. */ - class_call_except(perturb_vector_init(ppr, - pba, - pth, - ppt, - index_md, - index_ic, - k, - interval_limit[index_interval], - ppw, - previous_approx), - ppt->error_message, - ppt->error_message, - for (index_interval=0; index_intervalpv)); + class_call_except(perturbations_vector_init(ppr, + pba, + pth, + ppt, + index_md, + index_ic, + k, + interval_limit[index_interval], + ppw, + previous_approx), + ppt->error_message, + ppt->error_message, + for (index_interval=0; index_interval (d) integrate the perturbations over the current interval. */ - if(ppr->evolver == rk){ + if (ppr->evolver == rk){ generic_evolver = evolver_rk; } - else{ + else { generic_evolver = evolver_ndf15; } - class_call_except(generic_evolver(perturb_derivs, - interval_limit[index_interval], - interval_limit[index_interval+1], - ppw->pv->y, - ppw->pv->used_in_sources, - ppw->pv->pt_size, - &ppaw, - ppr->tol_perturb_integration, - ppr->smallest_allowed_variation, - perturb_timescale, - ppr->perturb_integration_stepsize, - ppt->tau_sampling, - tau_actual_size, - perturb_sources, - perhaps_print_variables, - ppt->error_message), - ppt->error_message, - ppt->error_message, - for (index_interval=0; index_intervalpv)); + class_call_except(generic_evolver(perturbations_derivs, + interval_limit[index_interval], + interval_limit[index_interval+1], + ppw->pv->y, + ppw->pv->used_in_sources, + ppw->pv->pt_size, + &ppaw, + ppr->tol_perturbations_integration, + ppr->smallest_allowed_variation, + perturbations_timescale, + ppr->perturbations_integration_stepsize, + ppt->tau_sampling, + tau_actual_size, + perturbations_sources, + perhaps_print_variables, + ppt->error_message), + ppt->error_message, + ppt->error_message, + perturbations_vector_free(ppw->pv); + for (index_interval=0; index_intervalperturb_output_file); + // fclose(ppw->perturbations_output_file); /** - fill the source terms array with zeros for all times between the last integrated time tau_max and tau_today. */ for (index_tau = tau_actual_size; index_tau < ppt->tau_size; index_tau++) { - for (index_type = 0; index_type < ppt->tp_size[index_md]; index_type++) { + for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_type] + [index_ic * ppt->tp_size[index_md] + index_tp] [index_tau * ppt->k_size[index_md] + index_k] = 0.; } } /** - free quantities allocated at the beginning of the routine */ - class_call(perturb_vector_free(ppw->pv), + class_call(perturbations_vector_free(ppw->pv), ppt->error_message, ppt->error_message); @@ -2697,9 +3330,19 @@ int perturb_solve( return _SUCCESS_; } -int perturb_prepare_output(struct background * pba, - struct perturbs * ppt){ +/** + * Fill array of strings with the name of the 'k_output_values' + * functions (transfer functions as a function of time, for fixed + * values of k). + * + * @param pba Input: pointer to the background structure + * @param ppt Input/Output: pointer to the perturbation structure + * @return the error status + */ +int perturbations_prepare_k_output(struct background * pba, + struct perturbations * ppt + ){ int n_ncdm; char tmp[40]; @@ -2725,7 +3368,6 @@ int perturb_prepare_output(struct background * pba, class_store_columntitle(ppt->scalar_titles,"theta_b",_TRUE_); class_store_columntitle(ppt->scalar_titles,"psi",_TRUE_); class_store_columntitle(ppt->scalar_titles,"phi",_TRUE_); - /* Perturbed recombination */ class_store_columntitle(ppt->scalar_titles,"delta_Tb",ppt->has_perturbed_recombination); class_store_columntitle(ppt->scalar_titles,"delta_chi",ppt->has_perturbed_recombination); @@ -2733,19 +3375,27 @@ int perturb_prepare_output(struct background * pba, class_store_columntitle(ppt->scalar_titles,"delta_ur",pba->has_ur); class_store_columntitle(ppt->scalar_titles,"theta_ur",pba->has_ur); class_store_columntitle(ppt->scalar_titles,"shear_ur",pba->has_ur); + /* Interacting dark radiation */ + class_store_columntitle(ppt->scalar_titles,"delta_idr",pba->has_idr); + class_store_columntitle(ppt->scalar_titles,"theta_idr",pba->has_idr); + if ((pba->has_idr == _TRUE_)&&(ppt->idr_nature == idr_free_streaming)) + class_store_columntitle(ppt->scalar_titles,"shear_idr",_TRUE_); /* Cold dark matter */ class_store_columntitle(ppt->scalar_titles,"delta_cdm",pba->has_cdm); class_store_columntitle(ppt->scalar_titles,"theta_cdm",pba->has_cdm); + /* Interacting dark matter */ + class_store_columntitle(ppt->scalar_titles,"delta_idm",pba->has_idm); + class_store_columntitle(ppt->scalar_titles,"theta_idm",pba->has_idm); /* Non-cold dark matter */ if ((pba->has_ncdm == _TRUE_) && ((ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_) || (ppt->has_source_delta_m == _TRUE_))) { - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ - sprintf(tmp,"delta_ncdm[%d]",n_ncdm); + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + class_sprintf(tmp,"delta_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->scalar_titles,tmp,_TRUE_); - sprintf(tmp,"theta_ncdm[%d]",n_ncdm); + class_sprintf(tmp,"theta_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->scalar_titles,tmp,_TRUE_); - sprintf(tmp,"shear_ncdm[%d]",n_ncdm); + class_sprintf(tmp,"shear_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->scalar_titles,tmp,_TRUE_); - sprintf(tmp,"cs2_ncdm[%d]",n_ncdm); + class_sprintf(tmp,"cs2_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->scalar_titles,tmp,_TRUE_); } } @@ -2759,12 +3409,25 @@ int perturb_prepare_output(struct background * pba, /* Scalar field scf */ class_store_columntitle(ppt->scalar_titles, "delta_scf", pba->has_scf); class_store_columntitle(ppt->scalar_titles, "theta_scf", pba->has_scf); - /* Scalar field smg */ - class_store_columntitle(ppt->scalar_titles, "V_x_smg", pba->has_smg); - class_store_columntitle(ppt->scalar_titles, "V_x_prime_smg", pba->has_smg); - - class_store_columntitle(ppt->scalar_titles,"h_prime",pba->has_smg); - class_store_columntitle(ppt->scalar_titles,"eta",pba->has_smg); + /** Fluid */ + class_store_columntitle(ppt->scalar_titles, "delta_rho_fld", pba->has_fld); + class_store_columntitle(ppt->scalar_titles, "rho_plus_p_theta_fld", pba->has_fld); + class_store_columntitle(ppt->scalar_titles, "delta_p_fld", pba->has_fld); + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_prepare_k_output_smg(ppt), + ppt->error_message, + ppt->error_message + ); + } + /* Metric perturbations */ + class_store_columntitle(ppt->scalar_titles,"h_prime",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"h_prime_prime",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"eta",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"eta_prime",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"alpha",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"alpha_prime",ppt->gauge == synchronous); + class_store_columntitle(ppt->scalar_titles,"einstein00",ppt->gauge == synchronous); // not only _smg ppt->number_of_scalar_titles = get_number_of_titles(ppt->scalar_titles); @@ -2788,12 +3451,12 @@ int perturb_prepare_output(struct background * pba, class_store_columntitle(ppt->tensor_titles,"l4_ur",ppt->evolve_tensor_ur); if (ppt->evolve_tensor_ncdm == _TRUE_) { - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ - sprintf(tmp,"delta_ncdm[%d]",n_ncdm); + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + class_sprintf(tmp,"delta_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->tensor_titles,tmp,_TRUE_); - sprintf(tmp,"theta_ncdm[%d]",n_ncdm); + class_sprintf(tmp,"theta_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->tensor_titles,tmp,_TRUE_); - sprintf(tmp,"shear_ncdm[%d]",n_ncdm); + class_sprintf(tmp,"shear_ncdm[%d]",n_ncdm); class_store_columntitle(ppt->tensor_titles,tmp,_TRUE_); } } @@ -2808,7 +3471,6 @@ int perturb_prepare_output(struct background * pba, } - /** * For a given mode and wavenumber, find the number of intervals of * time between tau_ini and tau_end such that the approximation @@ -2820,7 +3482,7 @@ int perturb_prepare_output(struct background * pba, * @param ppt Input: pointer to the perturbation structure * @param index_md Input: index of mode under consideration (scalar/.../tensor) * @param k Input: index of wavenumber - * @param ppw Input: pointer to perturb_workspace structure containing index values and workspaces + * @param ppw Input: pointer to perturbations_workspace structure containing index values and workspaces * @param tau_ini Input: initial time of the perturbation integration * @param tau_end Input: final time of the perturbation integration * @param interval_number Output: total number of intervals @@ -2828,20 +3490,19 @@ int perturb_prepare_output(struct background * pba, * @return the error status */ -int perturb_find_approximation_number( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - struct perturb_workspace * ppw, - double tau_ini, - double tau_end, - int * interval_number, - int * interval_number_of, /* interval_number_of[index_ap] (already allocated) */ - double * tau_scheme_qs_smg - ){ +int perturbations_find_approximation_number( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + struct perturbations_workspace * ppw, + double tau_ini, + double tau_end, + int * interval_number, + int * interval_number_of /* interval_number_of[index_ap] (already allocated) */ + ){ /** Summary: */ /* index running over approximations */ @@ -2858,29 +3519,27 @@ int perturb_find_approximation_number( for (index_ap=0; index_apap_size; index_ap++) { - class_call(perturb_approximations(ppr, - pba, - pth, - ppt, - index_md, - k, - tau_ini, - ppw, - tau_scheme_qs_smg), + class_call(perturbations_approximations(ppr, + pba, + pth, + ppt, + index_md, + k, + tau_ini, + ppw), ppt->error_message, ppt->error_message); flag_ini = ppw->approx[index_ap]; - class_call(perturb_approximations(ppr, - pba, - pth, - ppt, - index_md, - k, - tau_end, - ppw, - tau_scheme_qs_smg), + class_call(perturbations_approximations(ppr, + pba, + pth, + ppt, + index_md, + k, + tau_end, + ppw), ppt->error_message, ppt->error_message); @@ -2909,7 +3568,7 @@ int perturb_find_approximation_number( * @param ppt Input: pointer to the perturbation structure * @param index_md Input: index of mode under consideration (scalar/.../tensor) * @param k Input: index of wavenumber - * @param ppw Input: pointer to perturb_workspace structure containing index values and workspaces + * @param ppw Input: pointer to perturbations_workspace structure containing index values and workspaces * @param tau_ini Input: initial time of the perturbation integration * @param tau_end Input: final time of the perturbation integration * @param precision Input: tolerance on output values @@ -2920,23 +3579,22 @@ int perturb_find_approximation_number( * @return the error status */ -int perturb_find_approximation_switches( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - struct perturb_workspace * ppw, - double tau_ini, - double tau_end, - double precision, - int interval_number, - int * interval_number_of, - double * interval_limit, /* interval_limit[index_interval] (already allocated) */ - int ** interval_approx, /* interval_approx[index_interval][index_ap] (already allocated) */ - double * tau_scheme_qs_smg - ){ +int perturbations_find_approximation_switches( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + struct perturbations_workspace * ppw, + double tau_ini, + double tau_end, + double precision, + int interval_number, + int * interval_number_of, + double * interval_limit, /* interval_limit[index_interval] (already allocated) */ + int ** interval_approx /* interval_approx[index_interval][index_ap] (already allocated) */ + ){ /** Summary: */ @@ -2950,21 +3608,19 @@ int perturb_find_approximation_switches( double next_tau_switch; int flag_ini; int num_switching_at_given_time; - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; /** - write in output arrays the initial time and approximation */ interval_limit[0]=tau_ini; - class_call(perturb_approximations(ppr, - pba, - pth, - ppt, - index_md, - k, - tau_ini, - ppw, - tau_scheme_qs_smg), + class_call(perturbations_approximations(ppr, + pba, + pth, + ppt, + index_md, + k, + tau_ini, + ppw), ppt->error_message, ppt->error_message); @@ -3007,15 +3663,14 @@ int perturb_find_approximation_switches( while (upper_bound - lower_bound > precision) { - class_call(perturb_approximations(ppr, - pba, - pth, - ppt, - index_md, - k, - mid, - ppw, - tau_scheme_qs_smg), + class_call(perturbations_approximations(ppr, + pba, + pth, + ppt, + index_md, + k, + mid, + ppw), ppt->error_message, ppt->error_message); @@ -3071,15 +3726,14 @@ int perturb_find_approximation_switches( for (index_switch=1; index_switcherror_message, ppt->error_message); @@ -3128,6 +3782,18 @@ int perturb_find_approximation_switches( (interval_approx[index_switch][ppw->index_ap_rsa]==(int)rsa_on)) fprintf(stdout,"Mode k=%e: will switch on radiation streaming approximation at tau=%e\n",k,interval_limit[index_switch]); + if (pba->has_idr == _TRUE_){ + if ((interval_approx[index_switch-1][ppw->index_ap_rsa_idr]==(int)rsa_idr_off) && + (interval_approx[index_switch][ppw->index_ap_rsa_idr]==(int)rsa_idr_on)) + fprintf(stdout,"Mode k=%e: will switch on dark radiation streaming approximation at tau=%e\n",k,interval_limit[index_switch]); + } + + if (pth->has_idm_dr == _TRUE_){ + if ((interval_approx[index_switch-1][ppw->index_ap_tca_idm_dr]==(int)tca_idm_dr_on) && + (interval_approx[index_switch][ppw->index_ap_tca_idm_dr]==(int)tca_idm_dr_off)) + fprintf(stdout,"Mode k=%e: will switch off dark tight-coupling approximation at tau=%e\n",k,interval_limit[index_switch]); + } + if (pba->has_ur == _TRUE_) { if ((interval_approx[index_switch-1][ppw->index_ap_ufa]==(int)ufa_off) && (interval_approx[index_switch][ppw->index_ap_ufa]==(int)ufa_on)) { @@ -3141,14 +3807,16 @@ int perturb_find_approximation_switches( } } if (pba->has_smg == _TRUE_) { - if ((qs_array_smg[interval_approx[index_switch-1][ppw->index_ap_qs_smg]]==1) && - (qs_array_smg[interval_approx[index_switch][ppw->index_ap_qs_smg]]==0)) { - fprintf(stdout,"Mode k=%e: will switch off the quasi_static approximation smg (1 -> 0) at tau=%e\n",k,interval_limit[index_switch]); - } - if ((qs_array_smg[interval_approx[index_switch-1][ppw->index_ap_qs_smg]]==0) && - (qs_array_smg[interval_approx[index_switch][ppw->index_ap_qs_smg]]==1)) { - fprintf(stdout,"Mode k=%e: will switch on the quasi_static approximation smg (0 -> 1) at tau=%e\n",k,interval_limit[index_switch]); - } + class_call( + perturbations_verbose_qs_smg( + ppw, + k, + interval_limit[index_switch], + interval_approx[index_switch-1], + interval_approx[index_switch]), + ppt->error_message, + ppt->error_message + ); } } @@ -3168,15 +3836,14 @@ int perturb_find_approximation_switches( free(unsorted_tau_switch); - class_call(perturb_approximations(ppr, - pba, - pth, - ppt, - index_md, - k, - tau_end, - ppw, - tau_scheme_qs_smg), + class_call(perturbations_approximations(ppr, + pba, + pth, + ppt, + index_md, + k, + tau_end, + ppw), ppt->error_message, ppt->error_message); @@ -3186,8 +3853,8 @@ int perturb_find_approximation_switches( } /** - * Initialize the field '-->pv' of a perturb_workspace structure, which - * is a perturb_vector structure. This structure contains indices and + * Initialize the field '-->pv' of a perturbations_workspace structure, which + * is a perturbations_vector structure. This structure contains indices and * values of all quantities which need to be integrated with respect * to time (and only them: quantities fixed analytically or obeying * constraint equations are NOT included in this vector). This routine @@ -3199,7 +3866,7 @@ int perturb_find_approximation_switches( * want to set initial conditions for the perturbations. Then, it is * assumed that ppw-->pv is not yet allocated. This routine allocates * it, defines all indices, and then fills the vector ppw-->pv-->y with - * the initial conditions defined in perturb_initial_conditions. + * the initial conditions defined in perturbations_initial_conditions. * * --> the input pa_old is not set to the NULL pointer and describes * some set of approximations: @@ -3223,41 +3890,40 @@ int perturb_find_approximation_switches( * @param k Input: wavenumber * @param tau Input: conformal time * @param ppw Input/Output: workspace containing in input the approximation scheme, the background/thermodynamics/metric quantities, and eventually the previous vector y; and in output the new vector y. - * @param pa_old Input: NULL is we need to set y to initial conditions for a new wavenumber; points towards a perturb_approximations if we want to switch of approximation. + * @param pa_old Input: NULL is we need to set y to initial conditions for a new wavenumber; points towards a perturbations_approximations if we want to switch of approximation. * @return the error status */ -int perturb_vector_init( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - int index_ic, - double k, - double tau, - struct perturb_workspace * ppw, /* ppw->pv unallocated if pa_old = NULL, allocated and filled otherwise */ - int * pa_old - ) { +int perturbations_vector_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + int index_ic, + double k, + double tau, + struct perturbations_workspace * ppw, /* ppw->pv unallocated if pa_old = NULL, allocated and filled otherwise */ + int * pa_old + ) { /** Summary: */ /** - define local variables */ - struct perturb_vector * ppv; + struct perturbations_vector * ppv; int index_pt; int l; int n_ncdm,index_q,ncdm_l_size; double rho_plus_p_ncdm,q,q2,epsilon,a,factor; - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; - /** - allocate a new perturb_vector structure to which ppw-->pv will point at the end of the routine */ + /** - allocate a new perturbations_vector structure to which ppw-->pv will point at the end of the routine */ - class_alloc(ppv,sizeof(struct perturb_vector),ppt->error_message); + class_alloc(ppv,sizeof(struct perturbations_vector),ppt->error_message); /** - initialize pointers to NULL (they will be allocated later if - needed), relevant for perturb_vector_free() */ + needed), relevant for perturbations_vector_free() */ ppv->l_max_ncdm = NULL; ppv->q_size_ncdm = NULL; @@ -3291,6 +3957,12 @@ int perturb_vector_init( "ppr->l_max_ur should be at least 4, i.e. we must integrate at least over neutrino/relic density, velocity, shear, third and fourth momentum"); } + if (pba->has_idr == _TRUE_){ + class_test(((ppr->l_max_idr < 4)&&(ppt->idr_nature == idr_free_streaming)), + ppt->error_message, + "ppr->l_max_idr should be at least 4, i.e. we must integrate at least over interacting dark radiation density, velocity, shear, third and fourth momentum"); + } + /* photons */ if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { /* if radiation streaming approximation is off */ @@ -3328,6 +4000,10 @@ int perturb_vector_init( class_define_index(ppv->index_pt_delta_cdm,pba->has_cdm,index_pt,1); /* cdm density */ class_define_index(ppv->index_pt_theta_cdm,pba->has_cdm && (ppt->gauge == newtonian),index_pt,1); /* cdm velocity */ + /* idm */ + class_define_index(ppv->index_pt_delta_idm,pba->has_idm,index_pt,1); /* idm density */ + class_define_index(ppv->index_pt_theta_idm,pba->has_idm,index_pt,1); /* idm velocity */ + /* dcdm */ class_define_index(ppv->index_pt_delta_dcdm,pba->has_dcdm,index_pt,1); /* dcdm density */ @@ -3354,11 +4030,14 @@ int perturb_vector_init( class_define_index(ppv->index_pt_phi_scf,pba->has_scf,index_pt,1); /* scalar field density */ class_define_index(ppv->index_pt_phi_prime_scf,pba->has_scf,index_pt,1); /* scalar field velocity */ - /* scalar field: integration indices are assigned only if fd (0) */ + /* scalar modified gravity */ - if ((pba->has_smg == _TRUE_) && (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { - class_define_index(ppv->index_pt_vx_smg,_TRUE_,index_pt,1); /* dynamical scalar field perturbation */ - class_define_index(ppv->index_pt_vx_prime_smg,_TRUE_,index_pt,1); /* dynamical scalar field velocity */ + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_define_indices_pt_smg(ppw, ppv, &index_pt), + ppt->error_message, + ppt->error_message + ); } /* perturbed recombination: the indices are defined once tca is off. */ @@ -3381,6 +4060,23 @@ int perturb_vector_init( } } + /* interacting dark radiation */ + + if (pba->has_idr == _TRUE_){ + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off) { + class_define_index(ppv->index_pt_delta_idr,_TRUE_,index_pt,1); /* density of interacting dark radiation */ + class_define_index(ppv->index_pt_theta_idr,_TRUE_,index_pt,1); /* velocity of interacting dark radiation */ + if (ppt->idr_nature == idr_free_streaming){ + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + class_define_index(ppv->index_pt_shear_idr,_TRUE_,index_pt,1); /* shear of interacting dark radiation */ + ppv->l_max_idr = ppr->l_max_idr; + class_define_index(ppv->index_pt_l3_idr,_TRUE_,index_pt,ppv->l_max_idr-2); /* additional momenta in Boltzmann hierarchy (beyond l=0,1,2,3) */ + } + } + } + } + + /* non-cold dark matter */ if (pba->has_ncdm == _TRUE_) { @@ -3389,9 +4085,9 @@ int perturb_vector_init( class_alloc(ppv->l_max_ncdm,ppv->N_ncdm*sizeof(double),ppt->error_message); class_alloc(ppv->q_size_ncdm,ppv->N_ncdm*sizeof(double),ppt->error_message); - for(n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ // Set value of ppv->l_max_ncdm: - if(ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_off){ + if (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_off){ /* reject inconsistent values of the number of mutipoles in ultra relativistic neutrino hierarchy */ class_test(ppr->l_max_ncdm < 4, ppt->error_message, @@ -3413,11 +4109,10 @@ int perturb_vector_init( /* metric perturbation eta of synchronous gauge */ class_define_index(ppv->index_pt_eta,ppt->gauge == synchronous,index_pt,1); - if (pba->has_smg == _TRUE_) { - class_define_index(ppv->index_pt_h_prime_from_trace_smg,ppt->gauge == synchronous,index_pt,1); - } + if (ppt->get_h_from_trace == _TRUE_) // not only _smg + class_define_index(ppv->index_pt_h_prime_from_trace,ppt->gauge == synchronous,index_pt,1); - /* metric perturbation phi of newtonian gauge ( we could fix it + /* metric perturbation phi of newtonian gauge (we could fix it using Einstein equations as a constraint equation for phi, but integration is numerically more stable if we actually evolve phi) */ @@ -3506,7 +4201,7 @@ int perturb_vector_init( class_alloc(ppv->l_max_ncdm,ppv->N_ncdm*sizeof(double),ppt->error_message); class_alloc(ppv->q_size_ncdm,ppv->N_ncdm*sizeof(double),ppt->error_message); - for(n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ // Set value of ppv->l_max_ncdm: class_test(ppr->l_max_ncdm < 4, ppt->error_message, @@ -3587,15 +4282,31 @@ int perturb_vector_init( } } + if (pba->has_idr == _TRUE_) { + + /* we don't need interacting dark radiation multipoles + above l=2 (but they are defined only when rsa_idr + and tca_idm_dr are off) */ + + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off){ + if (ppt->idr_nature == idr_free_streaming){ + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + for (index_pt=ppv->index_pt_l3_idr; index_pt <= ppv->index_pt_delta_idr+ppv->l_max_idr; index_pt++) + ppv->used_in_sources[index_pt]=_FALSE_; + } + } + } + } + if (pba->has_ncdm == _TRUE_) { /* we don't need ncdm multipoles above l=2 (but they are defined only when ncdmfa is off) */ index_pt = ppv->index_pt_psi0_ncdm1; - for(n_ncdm = 0; n_ncdm < ppv-> N_ncdm; n_ncdm++){ - for(index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ - for(l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ + for (n_ncdm = 0; n_ncdm < ppv-> N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ if (l>2) ppv->used_in_sources[index_pt]=_FALSE_; index_pt++; } @@ -3644,7 +4355,7 @@ int perturb_vector_init( * ./class my_init_file.ini > output_file.dat * to save tau_ini(k) into a file */ -// printf(" %e \t %e \n",k,tau); + // printf(" %e \t %e \n",k,tau); if (_scalars_) { @@ -3655,6 +4366,14 @@ int perturb_vector_init( ppt->error_message, "scalar initial conditions assume radiation streaming approximation turned off"); + if (pba->has_idr == _TRUE_) { + class_test(ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on, + ppt->error_message, + "scalar initial conditions assume dark radiation approximation turned off"); + + } + + /* we do not need to do a check for tca_idm_dr, as the initial conditions are consistent with any tca_idm_dr */ if (pba->has_ur == _TRUE_) { @@ -3690,21 +4409,21 @@ int perturb_vector_init( } - /** - --> (b) let ppw-->pv points towards the perturb_vector structure + /** - --> (b) let ppw-->pv points towards the perturbations_vector structure that we just created */ ppw->pv = ppv; /** - --> (c) fill the vector ppw-->pv-->y with appropriate initial conditions */ - class_call(perturb_initial_conditions(ppr, - pba, - ppt, - index_md, - index_ic, - k, - tau, - ppw), + class_call(perturbations_initial_conditions(ppr, + pba, + ppt, + index_md, + index_ic, + k, + tau, + ppw), ppt->error_message, ppt->error_message); @@ -3727,6 +4446,12 @@ int perturb_vector_init( ppt->error_message, "at tau=%g: the tight-coupling approximation can be switched off, not on",tau); + if (pth->has_idm_dr == _TRUE_){ + class_test((pa_old[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off) && (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on), + ppt->error_message, + "at tau=%g: the dark tight-coupling approximation can be switched off, not on",tau); + } + /** - ---> (a.2.) some variables (b, cdm, fld, ...) are not affected by any approximation. They need to be reconducted whatever the approximation switching is. We treat them here. Below @@ -3749,6 +4474,15 @@ int perturb_vector_init( } } + if (pba->has_idm == _TRUE_) { + + ppv->y[ppv->index_pt_delta_idm] = + ppw->pv->y[ppw->pv->index_pt_delta_idm]; + + ppv->y[ppv->index_pt_theta_idm] = + ppw->pv->y[ppw->pv->index_pt_theta_idm]; + } + if (pba->has_dcdm == _TRUE_) { ppv->y[ppv->index_pt_delta_dcdm] = @@ -3788,30 +4522,22 @@ int perturb_vector_init( ppw->pv->y[ppw->pv->index_pt_phi_prime_scf]; } - if (pba->has_smg == _TRUE_) {//pass the values only if the order is correct - - // TODO: Check this. I am not sure I am passing the correct values - if ((qs_array_smg[pa_old[ppw->index_ap_qs_smg]] == 1) && (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { - ppv->y[ppv->index_pt_vx_smg] = - ppw->pvecmetric[ppw->index_mt_vx_smg]; - ppv->y[ppv->index_pt_vx_prime_smg] = - ppw->pvecmetric[ppw->index_mt_vx_prime_smg]; - } - else if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { - ppv->y[ppv->index_pt_vx_smg] = - ppw->pv->y[ppw->pv->index_pt_vx_smg]; - ppv->y[ppv->index_pt_vx_prime_smg] = - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]; - } + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_vector_init_qs_smg(ppw, ppv, pa_old), + ppt->error_message, + ppt->error_message + ); } if (ppt->gauge == synchronous) ppv->y[ppv->index_pt_eta] = ppw->pv->y[ppw->pv->index_pt_eta]; - if ((ppt->gauge == synchronous) && (pba->has_smg == _TRUE_)) - ppv->y[ppv->index_pt_h_prime_from_trace_smg] = - ppw->pv->y[ppw->pv->index_pt_h_prime_from_trace_smg]; + if ((ppt->gauge == synchronous) && (ppt->get_h_from_trace == _TRUE_)) { // not only _smg + ppv->y[ppv->index_pt_h_prime_from_trace] = + ppw->pv->y[ppw->pv->index_pt_h_prime_from_trace]; + } if (ppt->gauge == newtonian) ppv->y[ppv->index_pt_phi] = @@ -3823,7 +4549,7 @@ int perturb_vector_init( if ((pa_old[ppw->index_ap_tca] == (int)tca_on) && (ppw->approx[ppw->index_ap_tca] == (int)tca_off)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch off tight-coupling approximation at tau=%e\n",k,tau); ppv->y[ppv->index_pt_delta_g] = @@ -3833,17 +4559,16 @@ int perturb_vector_init( ppw->pv->y[ppw->pv->index_pt_theta_g]; /* tight-coupling approximation for shear_g (previously - computed in perturb_derivs: perturb_derivs is always + computed in perturbations_derivs: perturbations_derivs is always called at the end of generic_evolver, in order to update all quantities in ppw to the time at which the approximation is switched off) */ ppv->y[ppv->index_pt_shear_g] = ppw->tca_shear_g; - ppv->y[ppv->index_pt_l3_g] = 6./7.*k/ppw->pvecthermo[pth->index_th_dkappa]*ppw->s_l[3]*ppv->y[ppv->index_pt_shear_g]; /* second-order tight-coupling approximation for l=3 */ - - ppv->y[ppv->index_pt_pol0_g] = 2.5*ppv->y[ppv->index_pt_shear_g]; /* first-order tight-coupling approximation for polarization, l=0 */ + ppv->y[ppv->index_pt_l3_g] = 6./7.*k/ppw->pvecthermo[pth->index_th_dkappa]*ppw->s_l[3]*ppv->y[ppv->index_pt_shear_g]; /* second-order tight-coupling approximation for l=3 */ + ppv->y[ppv->index_pt_pol0_g] = 2.5*ppv->y[ppv->index_pt_shear_g]; /* first-order tight-coupling approximation for polarization, l=0 */ ppv->y[ppv->index_pt_pol1_g] = k/ppw->pvecthermo[pth->index_th_dkappa]*(5.-2.*ppw->s_l[2])/6.*ppv->y[ppv->index_pt_shear_g]; /* second-order tight-coupling approximation for polarization, l=1 */ - ppv->y[ppv->index_pt_pol2_g] = 0.5*ppv->y[ppv->index_pt_shear_g]; /* first-order tight-coupling approximation for polarization, l=2 */ + ppv->y[ppv->index_pt_pol2_g] = 0.5*ppv->y[ppv->index_pt_shear_g]; /* first-order tight-coupling approximation for polarization, l=2 */ ppv->y[ppv->index_pt_pol3_g] = k/ppw->pvecthermo[pth->index_th_dkappa]*3.*ppw->s_l[3]/14.*ppv->y[ppv->index_pt_shear_g]; /* second-order tight-coupling approximation for polarization, l=3 */ if (pba->has_ur == _TRUE_) { @@ -3869,11 +4594,39 @@ int perturb_vector_init( } } + if (pba->has_idr == _TRUE_){ + + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off){ + + ppv->y[ppv->index_pt_delta_idr] = + ppw->pv->y[ppw->pv->index_pt_delta_idr]; + + ppv->y[ppv->index_pt_theta_idr] = + ppw->pv->y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + + ppv->y[ppv->index_pt_shear_idr] = + ppw->pv->y[ppw->pv->index_pt_shear_idr]; + + ppv->y[ppv->index_pt_l3_idr] = + ppw->pv->y[ppw->pv->index_pt_l3_idr]; + + for (l=4; l <= ppv->l_max_idr; l++) + ppv->y[ppv->index_pt_delta_idr+l] = + ppw->pv->y[ppw->pv->index_pt_delta_idr+l]; + } + } + } + } + if (pba->has_ncdm == _TRUE_) { index_pt = 0; - for(n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ - for(index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ - for(l=0; l<=ppv->l_max_ncdm[n_ncdm];l++){ + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm];l++){ // This is correct with or without ncdmfa, since ppv->lmax_ncdm is set accordingly. ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; @@ -3902,21 +4655,48 @@ int perturb_vector_init( ppw->pv->y[ppw->pv->index_pt_perturbed_recombination_delta_chi]; } - /* -- case of switching on radiation streaming approximation. Provide correct initial conditions to new set of variables */ if ((pa_old[ppw->index_ap_rsa] == (int)rsa_off) && (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch on radiation streaming approximation at tau=%e with Omega_r=%g\n",k,tau,ppw->pvecback[pba->index_bg_Omega_r]); + if (pba->has_idr == _TRUE_){ + + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off){ + + ppv->y[ppv->index_pt_delta_idr] = + ppw->pv->y[ppw->pv->index_pt_delta_idr]; + + ppv->y[ppv->index_pt_theta_idr] = + ppw->pv->y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + + ppv->y[ppv->index_pt_shear_idr] = + ppw->pv->y[ppw->pv->index_pt_shear_idr]; + + ppv->y[ppv->index_pt_l3_idr] = + ppw->pv->y[ppw->pv->index_pt_l3_idr]; + + for (l=4; l <= ppv->l_max_idr; l++) + ppv->y[ppv->index_pt_delta_idr+l] = + ppw->pv->y[ppw->pv->index_pt_delta_idr+l]; + } + } + } + } + if (pba->has_ncdm == _TRUE_) { index_pt = 0; - for(n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ - for(index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ - for(l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; index_pt++; @@ -3934,7 +4714,7 @@ int perturb_vector_init( if ((pa_old[ppw->index_ap_ufa] == (int)ufa_off) && (ppw->approx[ppw->index_ap_ufa] == (int)ufa_on)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch on ur fluid approximation at tau=%e\n",k,tau); if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { @@ -3992,13 +4772,41 @@ int perturb_vector_init( ppw->pv->y[ppw->pv->index_pt_shear_ur]; } + if (pba->has_idr == _TRUE_){ + + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off){ + + ppv->y[ppv->index_pt_delta_idr] = + ppw->pv->y[ppw->pv->index_pt_delta_idr]; + + ppv->y[ppv->index_pt_theta_idr] = + ppw->pv->y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + + ppv->y[ppv->index_pt_shear_idr] = + ppw->pv->y[ppw->pv->index_pt_shear_idr]; + + ppv->y[ppv->index_pt_l3_idr] = + ppw->pv->y[ppw->pv->index_pt_l3_idr]; + + for (l=4; l <= ppv->l_max_idr; l++) + ppv->y[ppv->index_pt_delta_idr+l] = + ppw->pv->y[ppw->pv->index_pt_delta_idr+l]; + } + } + } + } + if (pba->has_ncdm == _TRUE_) { index_pt = 0; - for(n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ - for(index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ - for(l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ /* This is correct even when ncdmfa == off, since ppv->l_max_ncdm and - ppv->q_size_ncdm is updated.*/ + ppv->q_size_ncdm is updated.*/ ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; index_pt++; @@ -4009,16 +4817,12 @@ int perturb_vector_init( } } - /* -- case of switching on ncdm fluid - approximation. Provide correct initial conditions to new set - of variables */ - - if (pba->has_ncdm == _TRUE_) { - - if ((pa_old[ppw->index_ap_ncdmfa] == (int)ncdmfa_off) && (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on)) { + /* Case of switching on rsa for interacting dark radiation */ + if (pba->has_idr == _TRUE_) { + if ((pa_old[ppw->index_ap_rsa_idr] == (int)rsa_idr_off) && (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on)) { - if (ppt->perturbations_verbose>3) - fprintf(stdout,"Mode k=%e: switch on ncdm fluid approximation at tau=%e\n",k,tau); + if (ppt->perturbations_verbose>2) + fprintf(stdout,"Mode k=%e: switch on dark radiation approximation at tau=%e\n",k,tau); if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { @@ -4090,66 +4894,304 @@ int perturb_vector_init( } } - a = ppw->pvecback[pba->index_bg_a]; - index_pt = ppw->pv->index_pt_psi0_ncdm1; - for(n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ - // We are in the fluid approximation, so ncdm_l_size is always 3. - ncdm_l_size = ppv->l_max_ncdm[n_ncdm]+1; - rho_plus_p_ncdm = ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ - ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; - for(l=0; l<=2; l++){ - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+l] = 0.0; - } - factor = pba->factor_ncdm[n_ncdm]*pow(pba->a_today/a,4); - for(index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q++){ - // Integrate over distributions: - q = pba->q_ncdm[n_ncdm][index_q]; - q2 = q*q; - epsilon = sqrt(q2+a*a*pba->M_ncdm[n_ncdm]*pba->M_ncdm[n_ncdm]); - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm] += - pba->w_ncdm[n_ncdm][index_q]*q2*epsilon* - ppw->pv->y[index_pt]; - - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+1] += - pba->w_ncdm[n_ncdm][index_q]*q2*q* - ppw->pv->y[index_pt+1]; - - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+2] += - pba->w_ncdm[n_ncdm][index_q]*q2*q2/epsilon* - ppw->pv->y[index_pt+2]; - - //Jump to next momentum bin in ppw->pv->y: - index_pt += (ppw->pv->l_max_ncdm[n_ncdm]+1); + if (pba->has_ncdm == _TRUE_) { + index_pt = 0; + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ + /* This is correct even when ncdmfa == off, since ppv->l_max_ncdm and + ppv->q_size_ncdm is updated.*/ + ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = + ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; + index_pt++; + } + } } - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm] *=factor/ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+1] *=k*factor/rho_plus_p_ncdm; - ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+2] *=2.0/3.0*factor/rho_plus_p_ncdm; } + } } - } - /** - --> (b) for the vector mode */ + if (pth->has_idm_dr == _TRUE_) { - if (_vectors_) { + /* Case of switching off interacting dark radiation tight coupling approximation */ - /** - ---> (b.1.) check that the change of approximation scheme makes - sense (note: before calling this routine there is already a - check that we wish to change only one approximation flag at - a time) */ + if ((pa_old[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on) && (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off)) { - class_test((pa_old[ppw->index_ap_tca] == (int)tca_off) && (ppw->approx[ppw->index_ap_tca] == (int)tca_on), - ppt->error_message, - "at tau=%g: the tight-coupling approximation can be switched off, not on",tau); + if (ppt->perturbations_verbose>2) + fprintf(stdout,"Mode k=%e: switch off dark tight coupling approximation at tau=%e\n",k,tau); - /** - ---> (b.2.) some variables (gw, gwdot, ...) are not affected by - any approximation. They need to be reconducted whatever - the approximation switching is. We treat them here. Below - we will treat other variables case by case. */ + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off) { - if (ppt->gauge == synchronous){ + ppv->y[ppv->index_pt_delta_idr] = + ppw->pv->y[ppw->pv->index_pt_delta_idr]; - ppv->y[ppv->index_pt_hv_prime] = + ppv->y[ppv->index_pt_theta_idr] = + ppw->pv->y[ppw->pv->index_pt_theta_idr]; + + /* idr is always free streaming if tca_idm_dr is on */ + if (ppt->idr_nature == idr_free_streaming){ + ppv->y[ppv->index_pt_shear_idr] = ppw->tca_shear_idm_dr; + ppv->y[ppv->index_pt_l3_idr] = 6./7.*k*ppv->y[ppv->index_pt_shear_idr]/ppw->pvecthermo[pth->index_th_dmu_idm_dr]/ppt->alpha_idm_dr[1]; + } + } + + if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { + + ppv->y[ppv->index_pt_delta_g] = + ppw->pv->y[ppw->pv->index_pt_delta_g]; + + ppv->y[ppv->index_pt_theta_g] = + ppw->pv->y[ppw->pv->index_pt_theta_g]; + } + + if ((ppw->approx[ppw->index_ap_tca] == (int)tca_off) && (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off)) { + + ppv->y[ppv->index_pt_shear_g] = + ppw->pv->y[ppw->pv->index_pt_shear_g]; + + ppv->y[ppv->index_pt_l3_g] = + ppw->pv->y[ppw->pv->index_pt_l3_g]; + + for (l = 4; l <= ppw->pv->l_max_g; l++) { + + ppv->y[ppv->index_pt_delta_g+l] = + ppw->pv->y[ppw->pv->index_pt_delta_g+l]; + } + + ppv->y[ppv->index_pt_pol0_g] = + ppw->pv->y[ppw->pv->index_pt_pol0_g]; + + ppv->y[ppv->index_pt_pol1_g] = + ppw->pv->y[ppw->pv->index_pt_pol1_g]; + + ppv->y[ppv->index_pt_pol2_g] = + ppw->pv->y[ppw->pv->index_pt_pol2_g]; + + ppv->y[ppv->index_pt_pol3_g] = + ppw->pv->y[ppw->pv->index_pt_pol3_g]; + + for (l = 4; l <= ppw->pv->l_max_pol_g; l++) { + + ppv->y[ppv->index_pt_pol0_g+l] = + ppw->pv->y[ppw->pv->index_pt_pol0_g+l]; + } + + } + + if (pba->has_ur == _TRUE_) { + + if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { + + + ppv->y[ppv->index_pt_delta_ur] = + ppw->pv->y[ppw->pv->index_pt_delta_ur]; + + ppv->y[ppv->index_pt_theta_ur] = + ppw->pv->y[ppw->pv->index_pt_theta_ur]; + + ppv->y[ppv->index_pt_shear_ur] = + ppw->pv->y[ppw->pv->index_pt_shear_ur]; + + if (ppw->approx[ppw->index_ap_ufa] == (int)ufa_off) { + + ppv->y[ppv->index_pt_l3_ur] = + ppw->pv->y[ppw->pv->index_pt_l3_ur]; + + for (l=4; l <= ppv->l_max_ur; l++) + ppv->y[ppv->index_pt_delta_ur+l] = + ppw->pv->y[ppw->pv->index_pt_delta_ur+l]; + + } + } + } + + if (pba->has_ncdm == _TRUE_) { + index_pt = 0; + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm]; l++){ + /* This is correct even when ncdmfa == off, since ppv->l_max_ncdm and + ppv->q_size_ncdm is updated. */ + ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = + ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; + index_pt++; + } + } + } + } + } + } + + /* -- case of switching on ncdm fluid + approximation. Provide correct initial conditions to new set + of variables */ + + if (pba->has_ncdm == _TRUE_) { + + if ((pa_old[ppw->index_ap_ncdmfa] == (int)ncdmfa_off) && (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on)) { + + if (ppt->perturbations_verbose>2) + fprintf(stdout,"Mode k=%e: switch on ncdm fluid approximation at tau=%e\n",k,tau); + + if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { + + ppv->y[ppv->index_pt_delta_g] = + ppw->pv->y[ppw->pv->index_pt_delta_g]; + + ppv->y[ppv->index_pt_theta_g] = + ppw->pv->y[ppw->pv->index_pt_theta_g]; + } + + if ((ppw->approx[ppw->index_ap_tca] == (int)tca_off) && (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off)) { + + ppv->y[ppv->index_pt_shear_g] = + ppw->pv->y[ppw->pv->index_pt_shear_g]; + + ppv->y[ppv->index_pt_l3_g] = + ppw->pv->y[ppw->pv->index_pt_l3_g]; + + for (l = 4; l <= ppw->pv->l_max_g; l++) { + + ppv->y[ppv->index_pt_delta_g+l] = + ppw->pv->y[ppw->pv->index_pt_delta_g+l]; + } + + ppv->y[ppv->index_pt_pol0_g] = + ppw->pv->y[ppw->pv->index_pt_pol0_g]; + + ppv->y[ppv->index_pt_pol1_g] = + ppw->pv->y[ppw->pv->index_pt_pol1_g]; + + ppv->y[ppv->index_pt_pol2_g] = + ppw->pv->y[ppw->pv->index_pt_pol2_g]; + + ppv->y[ppv->index_pt_pol3_g] = + ppw->pv->y[ppw->pv->index_pt_pol3_g]; + + for (l = 4; l <= ppw->pv->l_max_pol_g; l++) { + + ppv->y[ppv->index_pt_pol0_g+l] = + ppw->pv->y[ppw->pv->index_pt_pol0_g+l]; + } + + } + + if (pba->has_ur == _TRUE_) { + + if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_off) { + + + ppv->y[ppv->index_pt_delta_ur] = + ppw->pv->y[ppw->pv->index_pt_delta_ur]; + + ppv->y[ppv->index_pt_theta_ur] = + ppw->pv->y[ppw->pv->index_pt_theta_ur]; + + ppv->y[ppv->index_pt_shear_ur] = + ppw->pv->y[ppw->pv->index_pt_shear_ur]; + + if (ppw->approx[ppw->index_ap_ufa] == (int)ufa_off) { + + ppv->y[ppv->index_pt_l3_ur] = + ppw->pv->y[ppw->pv->index_pt_l3_ur]; + + for (l=4; l <= ppv->l_max_ur; l++) + ppv->y[ppv->index_pt_delta_ur+l] = + ppw->pv->y[ppw->pv->index_pt_delta_ur+l]; + + } + } + } + + if (pba->has_idr == _TRUE_){ + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off){ + + ppv->y[ppv->index_pt_delta_idr] = + ppw->pv->y[ppw->pv->index_pt_delta_idr]; + + ppv->y[ppv->index_pt_theta_idr] = + ppw->pv->y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + + ppv->y[ppv->index_pt_shear_idr] = + ppw->pv->y[ppw->pv->index_pt_shear_idr]; + + ppv->y[ppv->index_pt_l3_idr] = + ppw->pv->y[ppw->pv->index_pt_l3_idr]; + + for (l=4; l <= ppv->l_max_idr; l++) + ppv->y[ppv->index_pt_delta_idr+l] = + ppw->pv->y[ppw->pv->index_pt_delta_idr+l]; + } + } + } + } + + + a = ppw->pvecback[pba->index_bg_a]; + index_pt = ppw->pv->index_pt_psi0_ncdm1; + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + // We are in the fluid approximation, so ncdm_l_size is always 3. + ncdm_l_size = ppv->l_max_ncdm[n_ncdm]+1; + rho_plus_p_ncdm = ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ + ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; + for (l=0; l<=2; l++){ + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+l] = 0.0; + } + factor = pba->factor_ncdm[n_ncdm]/pow(a,4); + for (index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q++){ + // Integrate over distributions: + q = pba->q_ncdm[n_ncdm][index_q]; + q2 = q*q; + epsilon = sqrt(q2+a*a*pba->M_ncdm[n_ncdm]*pba->M_ncdm[n_ncdm]); + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm] += + pba->w_ncdm[n_ncdm][index_q]*q2*epsilon* + ppw->pv->y[index_pt]; + + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+1] += + pba->w_ncdm[n_ncdm][index_q]*q2*q* + ppw->pv->y[index_pt+1]; + + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+2] += + pba->w_ncdm[n_ncdm][index_q]*q2*q2/epsilon* + ppw->pv->y[index_pt+2]; + + //Jump to next momentum bin in ppw->pv->y: + index_pt += (ppw->pv->l_max_ncdm[n_ncdm]+1); + } + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm] *=factor/ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+1] *=k*factor/rho_plus_p_ncdm; + ppv->y[ppv->index_pt_psi0_ncdm1+ncdm_l_size*n_ncdm+2] *=2.0/3.0*factor/rho_plus_p_ncdm; + } + } + } + } + + /** - --> (b) for the vector mode */ + + if (_vectors_) { + + /** - ---> (b.1.) check that the change of approximation scheme makes + sense (note: before calling this routine there is already a + check that we wish to change only one approximation flag at + a time) */ + + class_test((pa_old[ppw->index_ap_tca] == (int)tca_off) && (ppw->approx[ppw->index_ap_tca] == (int)tca_on), + ppt->error_message, + "at tau=%g: the tight-coupling approximation can be switched off, not on",tau); + + /** - ---> (b.2.) some variables (gw, gwdot, ...) are not affected by + any approximation. They need to be reconducted whatever + the approximation switching is. We treat them here. Below + we will treat other variables case by case. */ + + if (ppt->gauge == synchronous){ + + ppv->y[ppv->index_pt_hv_prime] = ppw->pv->y[ppw->pv->index_pt_hv_prime]; } @@ -4170,7 +5212,7 @@ int perturb_vector_init( if ((pa_old[ppw->index_ap_tca] == (int)tca_on) && (ppw->approx[ppw->index_ap_tca] == (int)tca_off)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch off tight-coupling approximation at tau=%e\n",k,tau); ppv->y[ppv->index_pt_delta_g] = 0.0; //TBC @@ -4242,9 +5284,9 @@ int perturb_vector_init( if (ppt->evolve_tensor_ncdm == _TRUE_){ index_pt = 0; - for(n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ - for(index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ - for(l=0; l<=ppv->l_max_ncdm[n_ncdm];l++){ + for (n_ncdm = 0; n_ncdm < ppv->N_ncdm; n_ncdm++){ + for (index_q=0; index_q < ppv->q_size_ncdm[n_ncdm]; index_q++){ + for (l=0; l<=ppv->l_max_ncdm[n_ncdm];l++){ // This is correct with or without ncdmfa, since ppv->lmax_ncdm is set accordingly. ppv->y[ppv->index_pt_psi0_ncdm1+index_pt] = ppw->pv->y[ppw->pv->index_pt_psi0_ncdm1+index_pt]; @@ -4260,7 +5302,7 @@ int perturb_vector_init( if ((pa_old[ppw->index_ap_tca] == (int)tca_on) && (ppw->approx[ppw->index_ap_tca] == (int)tca_off)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch off tight-coupling approximation at tau=%e\n",k,tau); ppv->y[ppv->index_pt_delta_g] = -4./3.*ppw->pv->y[ppw->pv->index_pt_gwdot]/ppw->pvecthermo[pth->index_th_dkappa]; @@ -4274,7 +5316,7 @@ int perturb_vector_init( if ((pa_old[ppw->index_ap_rsa] == (int)rsa_off) && (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on)) { - if (ppt->perturbations_verbose>3) + if (ppt->perturbations_verbose>2) fprintf(stdout,"Mode k=%e: switch on radiation streaming approximation at tau=%e with Omega_r=%g\n",k,tau,ppw->pvecback[pba->index_bg_Omega_r]); } @@ -4282,11 +5324,11 @@ int perturb_vector_init( /** - --> (d) free the previous vector of perturbations */ - class_call(perturb_vector_free(ppw->pv), + class_call(perturbations_vector_free(ppw->pv), ppt->error_message, ppt->error_message); - /** - --> (e) let ppw-->pv points towards the perturb_vector structure + /** - --> (e) let ppw-->pv points towards the perturbations_vector structure that we just created */ ppw->pv = ppv; @@ -4297,15 +5339,15 @@ int perturb_vector_init( } /** - * Free the perturb_vector structure. + * Free the perturbations_vector structure. * - * @param pv Input: pointer to perturb_vector structure to be freed + * @param pv Input: pointer to perturbations_vector structure to be freed * @return the error status */ -int perturb_vector_free( - struct perturb_vector * pv - ) { +int perturbations_vector_free( + struct perturbations_vector * pv + ) { if (pv->l_max_ncdm != NULL) free(pv->l_max_ncdm); if (pv->q_size_ncdm != NULL) free(pv->q_size_ncdm); @@ -4334,15 +5376,15 @@ int perturb_vector_free( * @return the error status */ -int perturb_initial_conditions(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - int index_md, - int index_ic, - double k, - double tau, - struct perturb_workspace * ppw - ) { +int perturbations_initial_conditions(struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + int index_md, + int index_ic, + double k, + double tau, + struct perturbations_workspace * ppw + ) { /** Summary: */ /** --> Declare local variables */ @@ -4353,10 +5395,9 @@ int perturb_initial_conditions(struct precision * ppr, double delta_dr=0; double q,epsilon,k2; int index_q,n_ncdm,idx; - double rho_r,rho_m,rho_nu,rho_m_over_rho_r; - - - double fracnu,fracg,fracb,fraccdm,om; + double rho_r,rho_m,rho_nu,rho_m_over_rho_r, rho_cdm =0.; + double fracnu,fracg,fracb,fraccdm = 0.,fracidm = 0.; + double om; double ktau_two,ktau_three; double f_dr; @@ -4364,23 +5405,8 @@ int perturb_initial_conditions(struct precision * ppr, double velocity_tot; double s2_squared; - // Declare smg variables too - - double dt=0., Omx=0., wx=0., kin=0., bra=0., bra_p=0., dbra=0., ten=0., run=0., M2=0.,DelM2=0.; - double Dd=0., cs2num=0., cs2num_p=0.; - double l1=0.,l2=0., l3=0., l4=0.,l5=0.,l6=0.,l7=0.,l8=0.,l2_p=0., l8_p=0.; - double B1_smg, B2_smg, B3_smg, B3num_smg, B3denom_smg, amplitude; - double rho_smg=0., rho_tot=0., p_tot=0., p_smg=0., H=0.,Hprime=0; - double g1=0., g2=0., g3=0.; - double vx_smg=0.,vxp_smg=0.,delta_rho_r=0.; - - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; - double coeff_isocurv_smg; - int nexpo; - + /** --> For scalars */ - - /** - for scalars */ if (_scalars_) { /** - (a) compute relevant background quantities: compute rho_r, @@ -4389,8 +5415,8 @@ int perturb_initial_conditions(struct precision * ppr, class_call(background_at_tau(pba, tau, - pba->normal_info, - pba->inter_normal, + normal_info, + inter_normal, &(ppw->last_index_back), ppw->pvecback), pba->error_message, @@ -4413,6 +5439,10 @@ int perturb_initial_conditions(struct precision * ppr, rho_m += ppw->pvecback[pba->index_bg_rho_cdm]; } + if (pba->has_idm == _TRUE_) { + rho_m += ppw->pvecback[pba->index_bg_rho_idm]; + } + if (pba->has_dcdm == _TRUE_) { rho_m += ppw->pvecback[pba->index_bg_rho_dcdm]; } @@ -4427,8 +5457,13 @@ int perturb_initial_conditions(struct precision * ppr, rho_nu += ppw->pvecback[pba->index_bg_rho_ur]; } + if (pba->has_idr == _TRUE_) { + rho_r += ppw->pvecback[pba->index_bg_rho_idr]; + rho_nu += ppw->pvecback[pba->index_bg_rho_idr]; + } + if (pba->has_ncdm == _TRUE_) { - for(n_ncdm=0; n_ncdmN_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdmN_ncdm; n_ncdm++){ rho_r += ppw->pvecback[pba->index_bg_rho_ncdm1 + n_ncdm]; rho_nu += ppw->pvecback[pba->index_bg_rho_ncdm1 + n_ncdm]; } @@ -4448,8 +5483,13 @@ int perturb_initial_conditions(struct precision * ppr, fracb = ppw->pvecback[pba->index_bg_rho_b]/rho_m; /* f_cdm = Omega_cdm(t_i) / Omega_m(t_i) */ - fraccdm = 1.-fracb; + if (pba->has_cdm == _TRUE_) + fraccdm = ppw->pvecback[pba->index_bg_rho_cdm]/rho_m; + /* f_idm = Omega_idm(t_i) / Omega_m(t_i) */ + if (pba->has_idm == _TRUE_){ + fracidm = ppw->pvecback[pba->index_bg_rho_idm]/rho_m; + } /* Omega_m(t_i) / Omega_r(t_i) */ rho_m_over_rho_r = rho_m/rho_r; @@ -4462,60 +5502,15 @@ int perturb_initial_conditions(struct precision * ppr, Indeed the exact solution of Friedmann when there is only radiation and matter in the universe is a = [H(t_0)^2 Omega_m(t_0) a(t_0)^3 / 4] x [tau^2 + 4 tau / omega] - - ILS: only used for Newtonian gauge transformations */ - - - - if (pba->has_smg == _TRUE_) { - - // Read in the initial values of all background params: alphas, Omx, w - - //perturbation to time variable - - dt = -1/(4.*ppw->pvecback[pba->index_bg_H])*ppw->pv->y[ppw->pv->index_pt_delta_g]; - - - H = ppw->pvecback[pba->index_bg_H]; - Hprime = ppw->pvecback[pba->index_bg_H_prime]; - a = ppw->pvecback[pba->index_bg_a]; - rho_tot = ppw->pvecback[pba->index_bg_rho_tot_wo_smg]; - p_tot = ppw->pvecback[pba->index_bg_p_tot_wo_smg]; - rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; - p_smg = ppw->pvecback[pba->index_bg_p_smg]; - - wx = p_smg/rho_smg; - Omx = rho_smg/pow(H,2); - kin = ppw->pvecback[pba->index_bg_kineticity_smg]; - bra = ppw->pvecback[pba->index_bg_braiding_smg]; - bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; - dbra= bra_p/(a*H) ; //Read in log(a) diff of braiding - run = ppw->pvecback[pba->index_bg_mpl_running_smg]; - ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; - l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; - l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; - l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; - l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; - l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; - l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; - l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; - l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; - l2_p = ppw->pvecback[pba->index_bg_lambda_2_prime_smg]; - l8_p = ppw->pvecback[pba->index_bg_lambda_8_prime_smg]; - cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; - cs2num_p = ppw->pvecback[pba->index_bg_cs2num_prime_smg]; - Dd = ppw->pvecback[pba->index_bg_kinetic_D_smg]; - M2 = ppw->pvecback[pba->index_bg_M2_smg]; - DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 - } - - // Add smg to radiation to correct om: if have early dark energy, it will take that into account the changed mat-red equality - // If not -> it doesn't matter in any case - // We do not want to change the value of rho_r, since afterwards, it is assumed to be just the radiation fluid - - om = a*rho_m/sqrt(rho_r+rho_smg); - + /* Add smg to radiation to correct om: if have early dark energy, it will take that + into account the changed mat-red equality. If not -> it doesn't matter in any case + We do not want to change the value of rho_r, since afterwards, it is assumed + to be just the radiation fluid. + */ + om = a*rho_m/sqrt(rho_r); + if (pba->has_smg == _TRUE_) + om = a*rho_m/sqrt(rho_r + ppw->pvecback[pba->index_bg_rho_smg]); /* (k tau)^2, (k tau)^3 */ ktau_two=k*k*tau*tau; @@ -4526,7 +5521,7 @@ int perturb_initial_conditions(struct precision * ppr, s2_squared = 1.-3.*pba->K/k/k; - /** - (b) starts by setting everything in synchronous gauge. If + /** - (b) starts by setting everything in synchronous gauge. If another gauge is needed, we will perform a gauge transformation below. */ @@ -4565,13 +5560,18 @@ int perturb_initial_conditions(struct precision * ppr, /* cdm velocity vanishes in the synchronous gauge */ } + /* interacting dark matter */ + if (pba->has_idm == _TRUE_) { + ppw->pv->y[ppw->pv->index_pt_delta_idm] = 3./4.*ppw->pv->y[ppw->pv->index_pt_delta_g]; /* idm density */ + ppw->pv->y[ppw->pv->index_pt_theta_idm] = ppw->pv->y[ppw->pv->index_pt_theta_g]; + } + if (pba->has_dcdm == _TRUE_) { ppw->pv->y[ppw->pv->index_pt_delta_dcdm] = 3./4.*ppw->pv->y[ppw->pv->index_pt_delta_g]; /* dcdm density */ /* dcdm velocity velocity vanishes initially in the synchronous gauge */ } - /* fluid (assumes wa=0, if this is not the case the fluid will catch anyway the attractor solution) */ if (pba->has_fld == _TRUE_) { @@ -4594,30 +5594,30 @@ int perturb_initial_conditions(struct precision * ppr, * delta_phi_prime \f$ = a^2/\phi' \f$ (delta_rho_phi + V'delta_phi), * and assume theta, delta_rho as for perfect fluid * with \f$ c_s^2 = 1 \f$ and w = 1/3 (ASSUMES radiation TRACKING) - */ + */ ppw->pv->y[ppw->pv->index_pt_phi_scf] = 0.; /* a*a/k/k/ppw->pvecback[pba->index_bg_phi_prime_scf]*k*ktau_three/4.*1./(4.-6.*(1./3.)+3.*1.) * (ppw->pvecback[pba->index_bg_rho_scf] + ppw->pvecback[pba->index_bg_p_scf])* ppr->curvature_ini * s2_squared; */ ppw->pv->y[ppw->pv->index_pt_phi_prime_scf] = 0.; /* delta_fld expression * rho_scf with the w = 1/3, c_s = 1 - a*a/ppw->pvecback[pba->index_bg_phi_prime_scf]*( - ktau_two/4.*(1.+1./3.)*(4.-3.*1.)/(4.-6.*(1/3.)+3.*1.)*ppw->pvecback[pba->index_bg_rho_scf] - ppw->pvecback[pba->index_bg_dV_scf]*ppw->pv->y[ppw->pv->index_pt_phi_scf])* ppr->curvature_ini * s2_squared; */ + a*a/ppw->pvecback[pba->index_bg_phi_prime_scf]*( - ktau_two/4.*(1.+1./3.)*(4.-3.*1.)/(4.-6.*(1/3.)+3.*1.)*ppw->pvecback[pba->index_bg_rho_scf] - ppw->pvecback[pba->index_bg_dV_scf]*ppw->pv->y[ppw->pv->index_pt_phi_scf])* ppr->curvature_ini * s2_squared; */ } /* all relativistic relics: ur, early ncdm, dr */ - if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_)) { + if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_) || (pba->has_idr == _TRUE_)) { delta_ur = ppw->pv->y[ppw->pv->index_pt_delta_g]; /* density of ultra-relativistic neutrinos/relics */ - theta_ur = - k*ktau_three/36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini * s2_squared; /* velocity of ultra-relativistic neutrinos/relics */ //TBC + /* velocity of ultra-relativistic neutrinos/relics */ //TBC + theta_ur = - k*ktau_three/36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini * s2_squared; shear_ur = ktau_two/(45.+12.*fracnu) * (3.*s2_squared-1.) * (1.+(4.*fracnu-5.)/4./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini;//TBC /s2_squared; /* shear of ultra-relativistic neutrinos/relics */ //TBC:0 l3_ur = ktau_three*2./7./(12.*fracnu+45.)* ppr->curvature_ini;//TBC if (pba->has_dr == _TRUE_) delta_dr = delta_ur; - } /* synchronous metric perturbation eta */ @@ -4626,522 +5626,13 @@ int perturb_initial_conditions(struct precision * ppr, eta = ppr->curvature_ini * (1.-ktau_two/12./(15.+4.*fracnu)*(5.+4.*s2_squared*fracnu - (16.*fracnu*fracnu+280.*fracnu+325)/10./(2.*fracnu+15.)*tau*om)); if (pba->has_smg == _TRUE_) { - - if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) - { - - /* Initial conditions for the *dynamical* scalar field in the adiabatic mode - * 1) gravitating_attr: Self-consistent Gravitating Attractor - * We allow the scalar to contribute the gravitational field during RD (can happen if Omx or alphas large at early times) - * and solve radiation-scalar system together. - * We make the assumption that wx=1/3 and OmX is constant and constant alphas. - * Parameters smaller c.f. others can change in time. - * Scalar field can give rise to mode faster than standard adiabatic, which we test for and reject. - * Note that the scalar affects the gravitational potentials here, - * so we recompute eta and the velocities of the UR matter - * - * 2) Single clock - * v_X = delta_phi/phi_dot - * phi(t,x) = phi(tau+delta tau(x)) - * This leads to very simple expressions: - * v_X = delta tau = delta_cdm/a_prime_over_a and v_X_prime = 0 - * - * 3) kineticity only IC: Vx = (k tau)^2 - * from Vx'' = 2 (a H)^2 Vx - * - * 4) zero IC: Vx = 0, Vx'= 0. Good for checking the relevance of ICs. - * - * 5) ext_field_attr: External-field Attractor - * This assumes that OmX and all the alphas are small initially, - * so we are allowed arbitrary w. The scalar does not influence - * the gravitational potentials early on (i.e. evolves in an external field), so we only need to set the - * initial condition for Vx but not the other fields. - * Appropriate for usual MG with no contribution at early times. - */ - - - - if (ppt->pert_initial_conditions_smg == gravitating_attr) - { - /* ICs in case of large alphas in RD, when the scalar field affects the gravitational field. - * Exact for constant alpha models. We are allowed large Omx provided w=1/3 (tracker). - * In principle, can use for general alpha/Omx, but the expressions miss contributions from w!=1/3, - * so the amplitude will be somewhat off. - * Large alphas => large fifth forces, which can backreact on gravitiational potential. - * General soluton has - - h = (k tau)^(2+dnh); Vx = amplitude * (k tau)^2 tau^dnv - - * If run=0, there is a solution with dnh = dnv = 0, but there may be faster-growing modes, - * which will end up dominating and do not conserve curvature superhorizon. - * We have already checked for their presence at some fiducial z_ref (line ~210) and failed - * if this is the case. - * - * If we have got this far, then we let perturbations run, since any instability would - * have apeared as a rusult of evolving alphas after the z_ref test above. - * We recompute the power law in case the values of alphas have changed. - * - * If run!=0, no conservation of zeta (at best approximate) or polynomial attractor. - * For small enough run, dnh!=dnv!=0 and we can find an approximate solution. - * Note that zeta is not conserved when Planck mass evolves! - */ - - // Calculate the coefficients of polynomial for exponent of the h and Vx evolution: - // These parts are common to the coefficients coming from both the Vx and h equations. - - // Note: The denominators in the expressions below can be zero. We try to trap this and regulate. - // We assume that M*^2>0 and D>0 which are tested for in the background routine. - // Doing this gives wrong ICs, but it's better than segmentation faults. - - // declare additional vars for grac attr initial conditions - double A_Vx_smg, A_v_nu_smg, A_sigma_nu_smg, A1_eta_smg, A2_eta_smg; - double n_nosource_smg, n_fastest_smg, dnv, dnh, dn, eps_smg; - double c0, c1, c2, c3, c0hp, c1hp, c2hp, c0vp, c1vp, c2vp; - double sols[3]; - double den1,den2, ic_regulator_smg; - int complex,i; - - - - ic_regulator_smg = ppr->pert_ic_regulator_smg; //read in the minimum size that will get regulated - ic_regulator_smg *= fabs(kin)+fabs(bra)+fabs(ten); //scale it to be proportional to the alphas - - c3 = 1.; - - c2 = 5. + 2.*run; - - den1 = (3*bra*ten + kin*(2 + ten)); - if(ic_regulator_smg>0 && (fabs(den1)0 is expressed purely as an ODE for Vx vs the ODE for h. - // The corrections to the above are below. - - den2 = ((-6*bra*(1 + DelM2) + pow(bra,2)*(1 + DelM2) + 8*(DelM2 + Omx))*(4*(DelM2 + Omx) - 2*(2 + DelM2 - Omx)*ten + - bra*(1 + DelM2)*(1 + ten))); - if(ic_regulator_smg>0 && (fabs(den2)0 && (fabs(den2)0 && (fabs(den2)0 && (fabs(den2)perturbations_verbose > 6) - printf("Mode k=%e: ICs: grows with tau^3+nv with approx. nv=%f, while h -- with nh=%f at a=%e. dM=%f\n",k,dnv,dnh,a,DelM2); - - // Now we can set the initial ratio of amplitudes for Vx and h.The expression is left with dnh/dnv terms implicit. - - // The amplitude of Vx and other field seems to be better approximated by using a weighed average - // between dnh and dnv, instead of the initial estimate. Store the dnv in dn for setting V_prime. - // Note that this is totally empirical. - - dn=dnv; - dnv=(2*dnv+3*dnh)/5.; - - den2 = (2.*(3*pow(bra,3)*(2*(2 + run)* - (3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + - dnv*(36 + pow(run,2) + 10*ten + run*(16 + 3*ten))) + pow(bra,2)*(6*pow(dnv,3)*(run - ten) - - dnv*kin*(2 + run)*(1 + ten) + 6*pow(dnv,2)*(-4*Omx + pow(run,2) - run*(-5 + ten) - (5 + 2*Omx)*ten) + - 6*dnv*(-12 + 2*(-5 + Omx)*run + pow(run,2) + (-3 + 2*Omx)*run*ten - 2*Omx*(8 + 3*ten)) - - 4*(54 + 12*Omx + 21*pow(run,2) - 6*(9 + Omx)*ten + kin*(2 + run)*(1 + ten) - - 3*run*(-29 + 4*Omx + (6 + 4*Omx)*ten))) + 2*bra*((4 + dnv)*kin*(3*(2 + run)*(1 + ten) + - pow(dnv,2)*(2 + ten) + dnv*(8 + 3*ten + run*(3 + ten))) + 12*((-1 + 8*Omx + dnv*(-1 + 2*Omx))* - pow(run,2) + 6*Omx*(4 - 3*ten) + dnv*(4*Omx + 3*ten - 5*Omx*ten) + run*(4 + 22*Omx + 3*ten - - 12*Omx*ten + dnv*(-3 + 7*Omx + ten - 2*Omx*ten)))) + 4*(pow(dnv,3)*kin*(run - ten) + - pow(dnv,2)*kin*(-4*Omx + pow(run,2) - run*(-5 + ten) - 5*ten - 2*Omx*ten) - 8*(Omx*(kin + 12*Omx)*run + - (-3 + 6*Omx)*pow(run,2) + (3 + (-6 + kin)*Omx)*run*ten + 2*Omx*(kin + 6*Omx + kin*ten - 3*Omx*ten)) + - 2*dnv*(-12*(-1 + Omx)*Omx*(run - ten) + kin*(2*pow(run,2) - 2*(5*Omx + ten + 3*Omx*ten) - - run*(-2 + Omx + (2 + Omx)*ten)))) + pow(DelM2,2)*(-96*(2 + run)*(2 + run - ten) + - 4*(4 + dnv)*kin*(pow(dnv,2)*(run - ten) - 2*(2 + run)*(1 + ten) + dnv*(-4 + run + pow(run,2) - 3*ten - - run*ten)) + 3*pow(bra,3)*(2*(2 + run)*(3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + - pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + dnv*(36 + pow(run,2) + 10*ten + run*(16 + 3*ten))) + - 2*bra*(pow(dnv,3)*kin*(2 + ten) + 12*(2 + run)*(12 + kin + 7*run - 9*ten + kin*ten) + - pow(dnv,2)*kin*(16 + 7*ten + run*(3 + ten)) + dnv*(12*(2 + run)*(2 + run - ten) + - kin*(38 + 15*run + 18*ten + 7*run*ten))) + pow(bra,2)*(6*pow(dnv,2)*(-4 + pow(run,2) - - run*(-5 + ten) - 7*ten) + 6*pow(dnv,3)*(run - ten) - 4*(2 + run)*(33 + kin + 21*run - 30*ten + kin*ten) - - dnv*(kin*(2 + run)*(1 + ten) + 6*(28 - pow(run,2) + 6*ten + run*(8 + ten))))) + 2*DelM2*(-48*(dnv*(-1 + Omx)* - (run - ten) + 2*Omx*(2 + run)*(2 + run - ten)) + 4*(4 + dnv)*kin*(pow(dnv,2)*(run - ten) - (1 + Omx)*(2 + run)* - (1 + ten) + dnv*(-2*(1 + Omx) + run + pow(run,2) - (2 + Omx)*ten - run*ten)) + 3*pow(bra,3)*(2*(2 + run)* - (3 + 2*run - 3*ten) + pow(dnv,3)*(2 + ten) + pow(dnv,2)*(16 + 7*ten + run*(3 + ten)) + dnv*(36 + pow(run,2) + - 10*ten + run*(16 + 3*ten))) + pow(bra,2)*(6*pow(dnv,3)*(run - ten) - dnv*kin*(2 + run)*(1 + ten) + - 6*pow(dnv,2)*(-2*(1 + Omx) + pow(run,2) - run*(-5 + ten) - (6 + Omx)*ten) + 6*dnv*(-4*(5 + 2*Omx) + pow(run,2) - - 3*(1 + Omx)*ten + run*(-9 + Omx + (-2 + Omx)*ten)) - 4*(60 + 6*Omx + 21*pow(run,2) - 57*ten - 3*Omx*ten + - kin*(2 + run)*(1 + ten) - 3*run*(-27 + 2*Omx + 2*(4 + Omx)*ten))) + 2*bra*(pow(dnv,3)*kin*(2 + ten) + - pow(dnv,2)*kin*(16 + 7*ten + run*(3 + ten)) + 12*((3 + 4*Omx)*pow(run,2) + kin*(2 + run)*(1 + ten) - - 3*(1 + Omx)*(-4 + 3*ten) + run*(15 + 11*Omx - 3*ten - 6*Omx*ten)) + dnv*(6*(4 + 4*Omx + run + - 2*Omx*pow(run,2) + Omx*run*(7 - 2*ten) + ten - 5*Omx*ten) + kin*(38 + 18*ten + run*(15 + 7*ten))))))); - - if(ic_regulator_smg>0 && (fabs(den2)0 && (fabs(den1)0 && (fabs(den2)curvature_ini * (1. + A2_eta_smg/A1_eta_smg*ktau_two); - - if(ppt->perturbations_verbose > 8) - printf(" ampl = %e, eta A1 = %e (%e), A2 = %e (%e), ktau^2 = %e, curv = %e \n",amplitude,A1_eta_smg,1.,A2_eta_smg, - -1./12./(15.+4.*fracnu)*(5.+4.*s2_squared*fracnu - (16.*fracnu*fracnu+280.*fracnu+325)/10./(2.*fracnu+15.)*tau*om), - ktau_two, ppr->curvature_ini ); - - // Initial conditions for MG scalar assuming that we have standard adiabatic attractor - // Note thatthe derivative is set using the real dnv calculated initially. - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = 0.5*amplitude*ktau_two*tau*(ppr->curvature_ini)/A1_eta_smg; - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (3+dn)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - - // Correct all shear-free species by reducing amplitude by A1_eta_smg and the velocities for dn - - ppw->pv->y[ppw->pv->index_pt_delta_g] /= A1_eta_smg; - ppw->pv->y[ppw->pv->index_pt_theta_g] /= A1_eta_smg/3*(3+dnh); - ppw->pv->y[ppw->pv->index_pt_delta_b] /= A1_eta_smg; - ppw->pv->y[ppw->pv->index_pt_theta_b] /= A1_eta_smg/3*(3+dnh); - if (pba->has_cdm == _TRUE_) - ppw->pv->y[ppw->pv->index_pt_delta_cdm] /= A1_eta_smg; - if (pba->has_dcdm == _TRUE_) - ppw->pv->y[ppw->pv->index_pt_delta_dcdm] /= A1_eta_smg; - if (pba->has_fld == _TRUE_) { - ppw->pv->y[ppw->pv->index_pt_delta_fld] /= A1_eta_smg; - ppw->pv->y[ppw->pv->index_pt_theta_fld] /= A1_eta_smg/3*(3+dnh); - } - if (pba->has_scf == _TRUE_) { - ppw->pv->y[ppw->pv->index_pt_phi_scf] /= A1_eta_smg; - ppw->pv->y[ppw->pv->index_pt_phi_prime_scf] /= A1_eta_smg/3*(3+dnh); - } - - if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_)) { - // Species with shear have a corrected initial condition - - A_v_nu_smg = (amplitude*(-(bra*(1 + DelM2)*(4 + dnv)) + 4*(DelM2 + Omx)))/(30*(1 + DelM2) + - 5*(1 + DelM2)*dnv*(5 + dnv) - 8*fracnu*(-1 + Omx)) + (-9*(1 + DelM2)*dnh*(5 + dnh) + - 8*fracnu*(-1 + Omx) - 2*(23 + 27*DelM2 + 4*Omx))/(12.*(3 + dnh)*(30*(1 + DelM2) + - 5*(1 + DelM2)*dnh*(5 + dnh) - 8*fracnu*(-1 + Omx))); - - A_sigma_nu_smg = (amplitude*(3 + dnv)*(bra*(1 + DelM2)*(4 + dnv) - 4*(DelM2 + Omx)))/(30*(1 + DelM2) + - 5*(1 + DelM2)*dnv*(5 + dnv) - 8*fracnu*(-1 + Omx)) + ((1 + DelM2)*dnh*(5 + dnh) + - 2*(2 + 3*DelM2 + Omx))/(3.*(30*(1 + DelM2) + 5*(1 + DelM2)*dnh*(5 + dnh) - - 8*fracnu*(-1 + Omx))); - - - - delta_ur = ppw->pv->y[ppw->pv->index_pt_delta_g]; /* has already been rescaled above! */ - - theta_ur = A_v_nu_smg/A1_eta_smg* k*ktau_three* ppr->curvature_ini; - // /36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini * s2_squared; /* velocity of ultra-relativistic neutrinos/relics, modified */ //TBC - - shear_ur = A_sigma_nu_smg/A1_eta_smg* ktau_two * ppr->curvature_ini; - // /(45.+12.*fracnu) * (3.*s2_squared-1.) * (1.+(4.*fracnu-5.)/4./(2.*fracnu+15.)*tau*om) * ppr->curvature_ini;//TBC /s2_squared; /* shear of ultra-relativistic neutrinos/relics */ //TBC:0 - - //TODO: needs to be modified? - l3_ur = ktau_three/A1_eta_smg*2./7./(12.*fracnu+45.)* ppr->curvature_ini;//ILS - - if(ppt->perturbations_verbose > 8) - printf(" fracnu = %e, A_v_nu = %e (%e), A_sigma_nu = %e (%e), th_ur/th_g = %e, Vx/vm = %e\n", fracnu, A_v_nu_smg, - -1./36./(4.*fracnu+15.) * (4.*fracnu+11.+12.*s2_squared-3.*(8.*fracnu*fracnu+50.*fracnu+275.)/20./(2.*fracnu+15.)*tau*om), - A_sigma_nu_smg, - 1./(45.+12.*fracnu) * (3.*s2_squared-1.) * (1.+(4.*fracnu-5.)/4./(2.*fracnu+15.)*tau*om), - theta_ur/ppw->pv->y[ppw->pv->index_pt_theta_g],k*k*ppw->pv->y[ppw->pv->index_pt_vx_smg]/ppw->pv->y[ppw->pv->index_pt_theta_g]); - if(pba->has_dr == _TRUE_) delta_dr = delta_ur; - }// end neutrino part - if(ppt->perturbations_verbose > 5) - printf("Mode k=%e: Adiabatic mode gravitating_attr IC for early smg: ",k); - - } //end of gravitation_attr ICs - - if (ppt->pert_initial_conditions_smg == kin_only) - { - ppw->pv->y[ppw->pv->index_pt_vx_smg] = ktau_two * dt; - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = 2 * k * k * tau * dt; - if (ppt->perturbations_verbose > 5) - printf("Mode k=%e: Adiabatic mode kin_only IC for smg: ", k); - } - - if (ppt->pert_initial_conditions_smg == single_clock) - { - // single_clock IC given with respect to photons (because there are always photons) - ppw->pv->y[ppw->pv->index_pt_vx_smg] = -1 / (4. * ppw->pvecback[pba->index_bg_H]) * ppw->pv->y[ppw->pv->index_pt_delta_g]; - // Single clock IC => v_x^prime = 0 - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = 0.; - if (ppt->perturbations_verbose > 5) - printf("Mode k=%e: Adioabatic mode single clock IC for smg: ", k); - } - - if (ppt->pert_initial_conditions_smg == zero) - { - ppw->pv->y[ppw->pv->index_pt_vx_smg] = 0.; - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = 0. ; - - if(ppt->perturbations_verbose > 5) - printf("Mode k=%e: Aduabatic model zero IC for smg: ",k); - } - - if (ppt->pert_initial_conditions_smg == ext_field_attr) - { - - - nexpo=2; // h = C tau^2 - - - calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude); - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = amplitude*ktau_two*tau*(ppr->curvature_ini); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - - if(ppt->perturbations_verbose > 5) - printf("Mode k=%e: Adiabatic mode ext_field_attr IC for smg: ",k); - - - }// End external-field attractor ICs - - - vx_smg = ppw->pv->y[ppw->pv->index_pt_vx_smg]; - vxp_smg = ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]; - delta_rho_r = rho_r * ppw->pv->y[ppw->pv->index_pt_delta_g]; - - } //end adiabatic mode dynamical ICs for smg - - else - { - // Adiabatic mode Quasi-Static initial conditions - - /* We reach here if initialisation for a mode happens in quasi-static conditions. - Before, we already have made sure that the initialisation happens early enough so that - all modes are either quasi-static or dynamical. Here we test that if they are QS, the initial - superhorizon configuration is not too different from GR. If it were, then we can't trust - that the curvature perturbation is conserved and therefore cannot connect - the amplitude at initialisation with that of primordial power spectrum. - - Roughly, the QS solution for V_X is given by - - ((D cs^2 k^2 +M^2 a^2 )V_X_QS = coeff1 * k^2 eta + coeff2 * delta_rad - - while the effect of this is given by the (0i) Einstein equation - - eta' = theta_rad + coeff3* V_X - - We know that the standard solution for eta' is k^2*tau, so we will require that the QS solution - at the scale of initialisation is no more than an order 1 correction to that. If this test is failed - then quit with error. If it is passed, we don't actually change any ICs, since all matter species are standard - and the Vx/Vx' are assigned in perturb_einstein - */ - - double delta_g = 0., delta_rho = 0., delta_rho_r = 0., delta_p = 0; - double rho_plus_p_theta = 0., rho_plus_p_theta_r = 0.; - double contribfromvx = 0., contribfromtheta = 0., contribratio = 0.; - - // Approximate that all radiation has same delta/theta as photons and that pressure is 1/3 of radiation density - - delta_g = ppw->pv->y[ppw->pv->index_pt_delta_g]; - delta_rho = rho_r * delta_g; - delta_rho_r = delta_rho; - delta_p = delta_rho / 3.; - rho_plus_p_theta = 4. / 3. * rho_r * ppw->pv->y[ppw->pv->index_pt_theta_g]; - rho_plus_p_theta_r = rho_plus_p_theta; - - // Below QS equations are copied from perturb_einstein: make sure any changes there are reflected - // QS-IC-change - - vx_smg = (4. * cs2num * pow(k, 2) * M2 * eta + 6. * l2 * delta_rho * pow(a, 2) + - ((-2.) + bra) * 9. * bra * delta_p * pow(a, 2)) * - 1. / 4. * pow(H, -1) * pow(M2, -1) * pow(a, -1) * pow(cs2num * pow(k, 2) + (-4.) * pow(H, 2) * l8 * pow(a, 2), -1); - - g1 = cs2num * pow(k / (a * H), 2) - 4. * l8; - - g2 = (2. - bra) * (g1 + (3. * bra + kin) * bra * rho_r * pow(H, -2) * pow(M2, -1) - - bra * cs2num * pow(k / (a * H), 2) / 2.) / 2. - 3. / 4. * (3. * bra + kin) * (rho_tot + p_tot) * - pow(H, -2) * l2 * pow(M2, -1); - - g3 = -(2. * (2. - bra) * bra * rho_r - 3. * (rho_tot + p_tot) * l2) * (18. - 18. * (rho_tot + p_tot) * pow(H, -2) * pow(M2, -1) - 15. * bra - 2. * kin + 9. * (2. - bra) * (p_tot + p_smg) * pow(H, -2) - - 2. * bra * pow(k / (a * H), 2)) * pow(H, -2) * pow(M2, -1) + 2. * (2. - bra) * cs2num * (5. - bra - 3. * (rho_tot + p_tot) * pow(M2, -1) * pow(H, -2) + 9. * (p_tot + p_smg) * pow(H, -2)) * pow(k / (a * H), 2) + - 4. * (2. - bra) * (pow(k / (a * H), 2) * cs2num_p - 4. * l8_p) / (a * H); - - vxp_smg = 3. / 2. * (pow(2. - bra, 2) * bra * pow(H, -2) * pow(M2, -1) * delta_rho_r + - (3. / 2. * (2. - bra) * cs2num * (p_tot + p_smg) * pow(H, -2) - pow(H, -2) * l2 * (p_tot + rho_tot) / M2 + - (2. - bra) * pow(H, -1) * cs2num_p / a / 3. + (2. - bra) * cs2num / 2. - cs2num * g3 / g1 / 12. + - 2. / 3. * (2. - bra) * bra * rho_r * pow(H, -2) / M2) * pow(k / (a * H), 2) * eta + (2. - bra) * (cs2num - l2) * pow(M2 * a, -1) * pow(H, -3) * rho_plus_p_theta / 2. + - 3. / 2. * (2. - bra) * ((2. - bra) * (-7. + 2. * run) / 4. * bra + 1. / 8. * bra * g3 / g1 - l2 - - 9. / 4. * (2. - bra) * bra * (p_tot + p_smg) * pow(H, -2) - (1. - bra) * pow(a * H, -1) * bra_p) * pow(H, -2) * pow(M2, -1) * delta_p + - ((2. - bra) * bra * rho_r * pow(H, -2) * pow(M2, -1) - g3 / g1 * l2 / 8. - (6. * rho_tot / M2 - (2. - bra - 4. * run + 2. * bra * run) * pow(H, 2)) / 4. * pow(H, -2) * l2 - - 3. / 4. * (2. / M2 - 6. + 3. * bra) * pow(H, -2) * l2 * p_tot + 9. / 4. * (2. - bra) * pow(H, -2) * l2 * p_smg + (2. - bra) / 2. * pow(H, -1) * l2_p * pow(a, -1)) * pow(M2, -1) * pow(H, -2) * delta_rho + - pow(2. - bra, 2) * bra * pow(H, -3) * pow(M2 * a, -1) * rho_plus_p_theta_r / 4.) * pow(g2, -1); - - // Now test to make sure that vx_QS contribution to (0i) equation is small compared with that from radiation - // If fail -> quit - - contribfromvx = a * H / 2. * bra * vxp_smg + (a * Hprime + pow(a_prime_over_a, 2) / 2. * bra + - 3. * a * a / (2. * M2) * 4. / 3. * rho_r) * vx_smg; - contribfromtheta = 3. * a * a * rho_plus_p_theta / (2. * k * k * M2); - contribratio = fabs(contribfromvx / contribfromtheta); - - class_test(ppr->pert_qs_ic_tolerance_test_smg > 0 && (contribratio > ppr->pert_qs_ic_tolerance_test_smg), - ppt->error_message, - "\n Cannot set adiabatic initial conditions for smg pertubations: quasi-static configuration with large correction of gravity required superhorizon. Loss of connection to priordial power spectrum. \n"); - - // If contribratio small enough, don't fail and start evolving perturbations. - // vx/vxp get set in perturbeinstein! - - if (ppt->perturbations_verbose > 5) - { - printf("\nMode k=%e: Quasi-static ICs for smg: ", k); - } - }; - - //print the scalar's IC values, whatever the ICs - if(ppt->perturbations_verbose > 5) - printf(" Vx = %e, Vx'= %e \n", vx_smg,vxp_smg); - - //Define initial condition for h^\prime evolved from the Einstein trace equation - ppw->pv->y[ppw->pv->index_pt_h_prime_from_trace_smg] = (-4. * pow(H, -1) * pow(k, 2) * eta / a - 6. * pow(H, -1) * pow(M2, -1) * delta_rho_r * a + 2. * H * (3. * bra + kin) * vxp_smg * a + (2. * bra * pow(k, 2) + (-18. + 15. * bra + 2. * kin) * rho_smg * pow(a, 2) + (-18. * DelM2 + 15. * bra * M2 + 2. * kin * M2) * rho_tot * pow(M2, -1) * pow(a, 2) + (-2. * DelM2 + bra * M2) * 9. * pow(M2, -1) * p_tot * pow(a, 2) + 9. * (-2. + bra) * p_smg * pow(a, 2)) * vx_smg) * pow(-2. + bra, -1); - - } // end SMG adiabatic ICs - } //end adiabatic ICs + class_call( + perturbations_adiabatic_ic_smg(ppr, pba, ppt, ppw, &eta, &delta_ur, &theta_ur, &shear_ur, &l3_ur, &delta_dr, tau, k, fracnu, om, rho_r), + ppt->error_message, + ppt->error_message + ); + } + } /* isocurvature initial conditions taken from Bucher, Moodely, Turok 99, with just a different normalization convention for @@ -5152,47 +5643,21 @@ int perturb_initial_conditions(struct precision * ppr, also checked that for bi,cdi,nid, everything coincides exactly with the CAMB formulas. */ - /* SMG and isocurvature: - * if we have "zero" or "single_clock" ICs for SMG, then leave vx - and vxp at the initalisation value of 0 - and let it find a proper solution. - * grav_attr isocurvature would backreact and has NOT been implemented. - We have already failed earlier if it is asked for. - - * Only need to implement ext_field_attr. - We assume that there is no backreaction of vx onto the other species - and therefore the other species' isocurvature ICs do not change. - However, vx is determined by a particular solution of the - evolution equation with a source h scaling with a different exponent - for each isocurvature mode type - - We only take the leading-order power-law in om - since we start very deep in RD - - The calc_extfld_ampl function produces the amplitude for v_X - on the assumption that the normalisation is h = 1/2 * tau^n - We correct for this normalisation by using coeff_isocurv_smg - defining is according to the normalisation in BMT99 - adjusted for the CLASS redefinition. However, for NID and NIV, - we need to find the leading order term in h which is not - from fracb - - TODO: In principle should also test if sg is initialised as QS whether gravity is modified already, just like - we do for adiabatic modes. - TODO: Gravitating attractor isocurvature modes. - - - */ - - /** - --> (b.2.) Cold dark matter Isocurvature */ if ((ppt->has_cdi == _TRUE_) && (index_ic == ppt->index_ic_cdi)) { + class_test((pba->has_idr == _TRUE_), + ppt->error_message, + "only adiabatic ic in presence of interacting dark radiation"); + class_test(pba->has_cdm == _FALSE_, ppt->error_message, "not consistent to ask for CDI in absence of CDM!"); + class_test((pba->has_idm == _TRUE_), + ppt->error_message, + "only adiabatic ic in presence of interacting dark matter"); ppw->pv->y[ppw->pv->index_pt_delta_g] = ppr->entropy_ini*fraccdm*om*tau*(-2./3.+om*tau/4.); ppw->pv->y[ppw->pv->index_pt_theta_g] = -ppr->entropy_ini*fraccdm*om*ktau_two/12.; @@ -5208,40 +5673,27 @@ int perturb_initial_conditions(struct precision * ppr, shear_ur = -ppr->entropy_ini*fraccdm*ktau_two*tau*om/6./(2.*fracnu+15.); } - eta = -ppr->entropy_ini*fraccdm*om*tau*(1./6.-om*tau/16.); - - if((pba->has_smg == _TRUE_)&&(ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) - //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static - { - - nexpo= 1; - - coeff_isocurv_smg = ppr->entropy_ini*fraccdm*om; - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2 - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; + eta = -ppr->entropy_ini*fraccdm*om*tau*(1./6.-om*tau/16.); - if(ppt->perturbations_verbose > 5) - { - printf("Mode k=%e: CDI mode ext_field_attr IC for smg: ",k); - printf(" Vx = %e, Vx'= %e \n",ppw->pv->y[ppw->pv->index_pt_vx_smg],ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]); - } + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_isocurvature_cdm_ic_smg(ppr, pba, ppt, ppw, tau, k, fraccdm, om), + ppt->error_message, + ppt->error_message + ); } - } /** - --> (b.3.) Baryon Isocurvature */ if ((ppt->has_bi == _TRUE_) && (index_ic == ppt->index_ic_bi)) { + class_test((pba->has_idr == _TRUE_), + ppt->error_message, + "only adiabatic ic in presence of interacting dark radiation"); + ppw->pv->y[ppw->pv->index_pt_delta_g] = ppr->entropy_ini*fracb*om*tau*(-2./3.+om*tau/4.); ppw->pv->y[ppw->pv->index_pt_theta_g] = -ppr->entropy_ini*fracb*om*ktau_two/12.; @@ -5264,31 +5716,12 @@ int perturb_initial_conditions(struct precision * ppr, eta = -ppr->entropy_ini*fracb*om*tau*(1./6.-om*tau/16.); - if((pba->has_smg == _TRUE_)&&(ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) - //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static - { - nexpo=1; - - - - coeff_isocurv_smg = ppr->entropy_ini*fracb*om; - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2. - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - - - if(ppt->perturbations_verbose > 5) - { - printf("Mode k=%e: BI mode ext_field_attr IC for smg: ",k); - printf(" Vx = %e, Vx'= %e \n",ppw->pv->y[ppw->pv->index_pt_vx_smg],ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]); - } + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_isocurvature_b_ic_smg(ppr, pba, ppt, ppw, tau, k, fracb, om), + ppt->error_message, + ppt->error_message + ); } } @@ -5301,6 +5734,9 @@ int perturb_initial_conditions(struct precision * ppr, ppt->error_message, "not consistent to ask for NID in absence of ur or ncdm species!"); + class_test((pba->has_idr == _TRUE_), + ppt->error_message, + "only adiabatic ic in presence of interacting dark radiation"); ppw->pv->y[ppw->pv->index_pt_delta_g] = ppr->entropy_ini*fracnu/fracg*(-1.+ktau_two/6.); ppw->pv->y[ppw->pv->index_pt_theta_g] = -ppr->entropy_ini*fracnu/fracg*k*k*tau*(1./4.-fracb/fracg*3./16.*om*tau); @@ -5320,46 +5756,14 @@ int perturb_initial_conditions(struct precision * ppr, eta = -ppr->entropy_ini*fracnu/(4.*fracnu+15.)/6.*ktau_two; - if((pba->has_smg == _TRUE_)&&(ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) - //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static - { - // Dominant higher-order correction to BMT99 in the limit fracb*om*tau<<(k*tau)^2: - // h = -fracnu/(36*(15+4*fracnu)) * (k*tau)^4 - - nexpo=3; - - coeff_isocurv_smg = ppr->entropy_ini * fracb*fracnu/fracg/10.*k*k * om/4; - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2 - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - nexpo=4; //next-order term (tau^4) similar in size for h as tau^3 if start late - - coeff_isocurv_smg = ppr->entropy_ini * k*k*fracnu/1152.* - (-32.*k*k/(15.+4.*fracnu)- 9.*fracb*(fracb+fracg)*om*om/fracg/fracg); - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2 - - ppw->pv->y[ppw->pv->index_pt_vx_smg] += amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] += (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - - if(ppt->perturbations_verbose > 5) - { - printf("Mode k=%e: NID mode ext_field_attr IC for smg: ",k); - printf(" Vx = %e, Vx'= %e \n", ppw->pv->y[ppw->pv->index_pt_vx_smg],ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]); - } + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_isocurvature_urd_ic_smg(ppr, pba, ppt, ppw, tau, k, fracnu, fracg, fracb, om), + ppt->error_message, + ppt->error_message + ); } + } /** - --> (b.5.) Neutrino velocity Isocurvature */ @@ -5370,6 +5774,10 @@ int perturb_initial_conditions(struct precision * ppr, ppt->error_message, "not consistent to ask for NIV in absence of ur or ncdm species!"); + class_test((pba->has_idr == _TRUE_), + ppt->error_message, + "only adiabatic ic in presence of interacting dark radiation"); + ppw->pv->y[ppw->pv->index_pt_delta_g] = ppr->entropy_ini*k*tau*fracnu/fracg* (1. - 3./16.*fracb*(2.+fracg)/fracg*om*tau); /* small diff wrt camb */ @@ -5387,48 +5795,16 @@ int perturb_initial_conditions(struct precision * ppr, delta_ur = -ppr->entropy_ini*k*tau*(1.+3./16.*fracb*fracnu/fracg*om*tau); /* small diff wrt camb */ theta_ur = ppr->entropy_ini*3./4.*k*(1. - 1./6.*ktau_two*(4.*fracnu+9.)/(4.*fracnu+5.)); - //shear_ur = ppr->entropy_ini/(4.*fracnu+15.)*k*tau*(1. + 3.*om*tau*fracnu/(4.*fracnu+15.)); /* small diff wrt camb */ //Original CLASS - shear_ur = ppr->entropy_ini/(4.*fracnu+5.)*k*tau*(1. + 3.*om*tau*fracnu/(4.*fracnu+15.)); /* small diff wrt camb */ //ILS corrected 15->5 in the first denom - + shear_ur = ppr->entropy_ini/(4.*fracnu+15.)*k*tau*(1. + 3.*om*tau*fracnu/(4.*fracnu+15.)); /* small diff wrt camb */ eta = ppr->entropy_ini*fracnu*k*tau*(-1./(4.*fracnu+5.) + (-3./64.*fracb/fracg+15./4./(4.*fracnu+15.)/(4.*fracnu+5.)*om*tau)); /* small diff wrt camb */ - if((pba->has_smg == _TRUE_)&&(ppt->pert_initial_conditions_smg==ext_field_attr)&&(qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) - //only set ICs for smg if have smg, we are in exernal field attractor and we are *not* quasi-static - { - - nexpo=2; - - coeff_isocurv_smg = ppr->entropy_ini * 9./32. *k*om*fracnu*fracb/fracg; - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2 - - ppw->pv->y[ppw->pv->index_pt_vx_smg] = amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] = (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - nexpo=3; //next-order term (tau^3) similar in size for h as tau^2 if start late - - coeff_isocurv_smg = ppr->entropy_ini * fracnu * - ( -3.*om*om*k/160.*fracb*(3*fracb+5*fracg)/fracg/fracg -4*k*k*k/15./(5.+4.*fracnu) ); - - class_call(calc_extfld_ampl(nexpo, kin, bra, dbra, run, ten, DelM2, Omx, wx, - l1, l2, l3, l4, l5, l6,l7,l8, cs2num, Dd, ppr->pert_ic_regulator_smg, - &litude), - ppt->error_message,ppt->error_message); - amplitude *=2; //calc_extfld_ampl assumes h normalised to 1/2 - - ppw->pv->y[ppw->pv->index_pt_vx_smg] += amplitude*coeff_isocurv_smg*pow(tau,nexpo+1); - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] += (nexpo+1)*a*ppw->pvecback[pba->index_bg_H]*ppw->pv->y[ppw->pv->index_pt_vx_smg]; - - if(ppt->perturbations_verbose > 5) - { - printf("Mode k=%e: NIV mode ext_field_attr IC for smg: ",k); - printf(" Vx = %e, Vx'= %e \n",ppw->pv->y[ppw->pv->index_pt_vx_smg],ppw->pv->y[ppw->pv->index_pt_vx_prime_smg]); - } + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_isocurvature_urv_ic_smg(ppr, pba, ppt, ppw, tau, k, fracnu, fracg, fracb, om), + ppt->error_message, + ppt->error_message + ); } } @@ -5438,6 +5814,22 @@ int perturb_initial_conditions(struct precision * ppr, if (ppt->gauge == synchronous) { ppw->pv->y[ppw->pv->index_pt_eta] = eta; + + if(ppt->get_h_from_trace == _TRUE_) { // not only smg + // Define initial condition for h^\prime evolved from the Einstein trace equation + // We should take into account also matter density otherwise we get percent differences + /* TODO: think of adding all species in a more sysyematic way */ + double delta_rho_tot = + + rho_r * ppw->pv->y[ppw->pv->index_pt_delta_g] + + ppw->pvecback[pba->index_bg_rho_b]*ppw->pv->y[ppw->pv->index_pt_delta_b] + + ppw->pvecback[pba->index_bg_rho_cdm]*ppw->pv->y[ppw->pv->index_pt_delta_cdm]; + if(pba->has_smg == _TRUE_) { + perturbations_get_h_prime_ic_from_00_smg(pba, ppw, k, eta, delta_rho_tot); + } + else { + ppw->pv->y[ppw->pv->index_pt_h_prime_from_trace] = (2.*pow(k, 2)*eta + 3.*a*a*delta_rho_tot)/a/ppw->pvecback[pba->index_bg_H]; + } + } } @@ -5463,12 +5855,24 @@ int perturb_initial_conditions(struct precision * ppr, = [(4/3) (f_g theta_g + f_nu theta_nu) + (rho_m/rho_r) (f_b delta_b + f_cdm 0)] / (1 + rho_m/rho_r) */ - if (pba->has_cdm == _TRUE_) - delta_cdm = ppw->pv->y[ppw->pv->index_pt_delta_cdm]; - else if (pba->has_dcdm == _TRUE_) - delta_cdm = ppw->pv->y[ppw->pv->index_pt_delta_dcdm]; - else - delta_cdm=0.; + if (pba->has_cdm == _TRUE_) { + delta_cdm += ppw->pvecback[pba->index_bg_rho_cdm] * ppw->pv->y[ppw->pv->index_pt_delta_cdm]; + rho_cdm += ppw->pvecback[pba->index_bg_rho_cdm]; + } + if (pba->has_idm == _TRUE_) { + delta_cdm += ppw->pvecback[pba->index_bg_rho_idm] * ppw->pv->y[ppw->pv->index_pt_delta_idm]; + rho_cdm += ppw->pvecback[pba->index_bg_rho_idm]; + } + if (pba->has_dcdm == _TRUE_){ + delta_cdm += ppw->pvecback[pba->index_bg_rho_dcdm] * ppw->pv->y[ppw->pv->index_pt_delta_dcdm]; + rho_cdm += ppw->pvecback[pba->index_bg_rho_dcdm]; + } + + + if (rho_cdm > 0 ) { + delta_cdm /= rho_cdm; + fraccdm = rho_cdm/rho_m; + } // note: if there are no neutrinos, fracnu, delta_ur and theta_ur below will consistently be zero. @@ -5476,6 +5880,11 @@ int perturb_initial_conditions(struct precision * ppr, velocity_tot = ((4./3.)*(fracg*ppw->pv->y[ppw->pv->index_pt_theta_g]+fracnu*theta_ur) + rho_m_over_rho_r*fracb*ppw->pv->y[ppw->pv->index_pt_theta_b])/(1.+rho_m_over_rho_r); + if (ppt->has_idm_dr == _TRUE_ ) { + delta_tot += rho_m_over_rho_r*fracidm*ppw->pv->y[ppw->pv->index_pt_delta_idm]/(1.+rho_m_over_rho_r); + velocity_tot += rho_m_over_rho_r*fracidm*ppw->pv->y[ppw->pv->index_pt_theta_idm]/(1.+rho_m_over_rho_r); + } + alpha = (eta + 3./2.*a_prime_over_a*a_prime_over_a/k/k/s2_squared*(delta_tot + 3.*a_prime_over_a/k/k*velocity_tot))/a_prime_over_a; ppw->pv->y[ppw->pv->index_pt_phi] = eta - a_prime_over_a*alpha; @@ -5491,8 +5900,13 @@ int perturb_initial_conditions(struct precision * ppr, ppw->pv->y[ppw->pv->index_pt_theta_cdm] = k*k*alpha; } + if (pba->has_idm == _TRUE_){ + ppw->pv->y[ppw->pv->index_pt_delta_idm] -= 3.*a_prime_over_a*alpha; + ppw->pv->y[ppw->pv->index_pt_theta_idm] += k*k*alpha; + } + if (pba->has_dcdm == _TRUE_) { - ppw->pv->y[ppw->pv->index_pt_delta_dcdm] += (-3.*a_prime_over_a - a*pba->Gamma_dcdm)*alpha; + ppw->pv->y[ppw->pv->index_pt_delta_dcdm] -= (3.*a_prime_over_a + a*pba->Gamma_dcdm)*alpha; ppw->pv->y[ppw->pv->index_pt_theta_dcdm] = k*k*alpha; } @@ -5501,15 +5915,15 @@ int perturb_initial_conditions(struct precision * ppr, class_call(background_w_fld(pba,a,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); - ppw->pv->y[ppw->pv->index_pt_delta_fld] += 3*(1.+w_fld)*a_prime_over_a*alpha; + ppw->pv->y[ppw->pv->index_pt_delta_fld] -= 3*(1.+w_fld)*a_prime_over_a*alpha; ppw->pv->y[ppw->pv->index_pt_theta_fld] += k*k*alpha; } /* scalar field: check */ if (pba->has_scf == _TRUE_) { alpha_prime = 0.0; - /* - 2. * a_prime_over_a * alpha + eta - - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; */ + /* - 2. * a_prime_over_a * alpha + eta + - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; */ ppw->pv->y[ppw->pv->index_pt_phi_scf] += alpha*ppw->pvecback[pba->index_bg_phi_prime_scf]; ppw->pv->y[ppw->pv->index_pt_phi_prime_scf] += @@ -5518,13 +5932,7 @@ int perturb_initial_conditions(struct precision * ppr, +ppw->pvecback[pba->index_bg_phi_prime_scf]*alpha_prime); } - /* scalar field: TODO: add gauge transformations (when we add Newtonian gauge) */ - if ((pba->has_smg == _TRUE_) && (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0)) { - ppw->pv->y[ppw->pv->index_pt_vx_smg] += 0.; - ppw->pv->y[ppw->pv->index_pt_vx_prime_smg] += 0.; - } - - if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_)) { + if ((pba->has_ur == _TRUE_) || (pba->has_ncdm == _TRUE_) || (pba->has_dr == _TRUE_) || (pba->has_idr == _TRUE_)) { delta_ur -= 4.*a_prime_over_a*alpha; theta_ur += k*k*alpha; @@ -5551,6 +5959,19 @@ int perturb_initial_conditions(struct precision * ppr, } + if (pba->has_idr == _TRUE_){ + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off) { // TODO: check if needed? + ppw->pv->y[ppw->pv->index_pt_delta_idr] = delta_ur; + ppw->pv->y[ppw->pv->index_pt_theta_idr] = theta_ur; + if (ppt->idr_nature == idr_free_streaming){ + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off){ + ppw->pv->y[ppw->pv->index_pt_shear_idr] = shear_ur; + ppw->pv->y[ppw->pv->index_pt_l3_idr] = l3_ur; + } + } + } + } + if (pba->has_ncdm == _TRUE_) { idx = ppw->pv->index_pt_psi0_ncdm1; for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ @@ -5578,7 +5999,7 @@ int perturb_initial_conditions(struct precision * ppr, if (pba->has_dr == _TRUE_) { - f_dr = pow(pow(a/pba->a_today,2)/pba->H0,2)*ppw->pvecback[pba->index_bg_rho_dr]; + f_dr = pow(pow(a,2)/pba->H0,2)*ppw->pvecback[pba->index_bg_rho_dr]; ppw->pv->y[ppw->pv->index_pt_F0_dr] = delta_dr*f_dr; @@ -5596,111 +6017,111 @@ int perturb_initial_conditions(struct precision * ppr, if (_tensors_) { /** tensor initial conditions take into account the fact that - scalar (resp. tensor) \f$ C_l\f$'s are related to the real space - power spectrum of curvature (resp. of the tensor part of - metric perturbations) + scalar (resp. tensor) \f$ C_l\f$'s are related to the real space + power spectrum of curvature (resp. of the tensor part of + metric perturbations) - \f[ \ \ \sum_{ij} \f] + \f[ \ \ \sum_{ij} \f] - In momentum space it is conventional to use the modes R(k) - and h(k) where the quantity h obeying to the equation of - propagation: + In momentum space it is conventional to use the modes R(k) + and h(k) where the quantity h obeying to the equation of + propagation: - \f[ h'' + \frac{2a'}{a} h + [k2+2K] h = 12\pi Ga2 (\rho+p) \sigma = 8\pi Ga2 p \pi \f] + \f[ h'' + \frac{2a'}{a} h + [k2+2K] h = 12\pi Ga2 (\rho+p) \sigma = 8\pi Ga2 p \pi \f] - and the power spectra in real space and momentum space are related through: + and the power spectra in real space and momentum space are related through: - \f[ = \int \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} \right] = \int \frac{dk}{k} \mathcal{P}_R(k) \f] - \f[\sum_{ij} = \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} F\left(\frac{k^2}{K}\right) \right] = \int \frac{dk}{k} F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f] + \f[ = \int \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} \right] = \int \frac{dk}{k} \mathcal{P}_R(k) \f] + \f[\sum_{ij} = \frac{dk}{k} \left[ \frac{k^3}{2\pi^2} F\left(\frac{k^2}{K}\right) \right] = \int \frac{dk}{k} F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f] - where \f$ \mathcal{P}_R\f$ and \f$ \mathcal{P}_h\f$ are the dimensionless spectrum of - curvature R, and F is a function of k2/K, where K is the curvature - parameter. F is equal to one in flat space (K=0), and coming - from the contraction of the laplacian eigentensor \f$ Q_{ij}\f$ with - itself. We will give F explicitly below. + where \f$ \mathcal{P}_R\f$ and \f$ \mathcal{P}_h\f$ are the dimensionless spectrum of + curvature R, and F is a function of k2/K, where K is the curvature + parameter. F is equal to one in flat space (K=0), and coming + from the contraction of the laplacian eigentensor \f$ Q_{ij}\f$ with + itself. We will give F explicitly below. - Similarly the scalar (S) and tensor (T) \f$ C_l\f$'s are given by + Similarly the scalar (S) and tensor (T) \f$ C_l\f$'s are given by - \f[ C_l^S = 4\pi \int \frac{dk}{k} [\Delta_l^S(q)]^2 \mathcal{P}_R(k) \f] - \f[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f] + \f[ C_l^S = 4\pi \int \frac{dk}{k} [\Delta_l^S(q)]^2 \mathcal{P}_R(k) \f] + \f[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f] - The usual convention for the tensor-to-scalar ratio - \f$ r = A_t / A_s \f$ at pivot scale - = 16 epsilon in single-field inflation - is such that for constant \f$ \mathcal{P}_R(k)\f$ and \f$ \mathcal{P}_h(k)\f$, + The usual convention for the tensor-to-scalar ratio + \f$ r = A_t / A_s \f$ at pivot scale + = 16 epsilon in single-field inflation + is such that for constant \f$ \mathcal{P}_R(k)\f$ and \f$ \mathcal{P}_h(k)\f$, - \f[ r = 6 \frac{\mathcal{P}_h(k)}{\mathcal{P}_R(k)} \f] + \f[ r = 6 \frac{\mathcal{P}_h(k)}{\mathcal{P}_R(k)} \f] - so + so - \f[ \mathcal{P}_h(k) = \frac{\mathcal{P}_R(k) r}{6} = \frac{A_s r}{6} = \frac{A_t}{6} \f] + \f[ \mathcal{P}_h(k) = \frac{\mathcal{P}_R(k) r}{6} = \frac{A_s r}{6} = \frac{A_t}{6} \f] - A priori it would make sense to say that for a power-law - primordial spectrum there is an extra factor \f$ (k/k_{pivot})^{n_t} \f$ - (and eventually running and so on and so forth...) + A priori it would make sense to say that for a power-law + primordial spectrum there is an extra factor \f$ (k/k_{pivot})^{n_t} \f$ + (and eventually running and so on and so forth...) - However it has been shown that the minimal models of - inflation in a negatively curved bubble lead to - \f$ \mathcal{P}_h(k)=\tanh(\pi*\nu/2)\f$. In open models it is customary to - define the tensor tilt in a non-flat universe as a deviation - from this behavior rather than from true scale-invariance in - the above sense. + However it has been shown that the minimal models of + inflation in a negatively curved bubble lead to + \f$ \mathcal{P}_h(k)=\tanh(\pi*\nu/2)\f$. In open models it is customary to + define the tensor tilt in a non-flat universe as a deviation + from this behavior rather than from true scale-invariance in + the above sense. - Hence we should have + Hence we should have - \f[ \mathcal{P}_h(k) = \frac{A_t}{6} [ \tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)}\f] + \f[ \mathcal{P}_h(k) = \frac{A_t}{6} [ \tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)}\f] - where the brackets \f[ [...] \f] mean "if K<0" + where the brackets \f[ [...] \f] mean "if K<0" - Then + Then - \f[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \frac{A_t}{6} [\tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)} \f] + \f[ C_l^T = 4\pi \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \frac{A_t}{6} [\tanh(\pi*\frac{\nu}{2})] (k/k_{pivot})^{(n_t+...)} \f] - In the code, it is then a matter of choice to write: + In the code, it is then a matter of choice to write: - - In the primordial module: \f$ \mathcal{P}_h(k) = \frac{A_t}{6} \tanh{(\pi*\frac{\nu}{2})} (k/k^*)^{n_T}\f$ - - In the perturbation initial conditions: \f$ h = 1\f$ - - In the spectra module: \f$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f$ + - In the primordial module: \f$ \mathcal{P}_h(k) = \frac{A_t}{6} \tanh{(\pi*\frac{\nu}{2})} (k/k^*)^{n_T}\f$ + - In the perturbation initial conditions: \f$ h = 1\f$ + - In the harmonic module: \f$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 F\left(\frac{k^2}{K}\right) \mathcal{P}_h(k) \f$ - or: + or: - - In the primordial module: \f$ \mathcal{P}_h(k) = A_t (k/k^*)^{n_T} \f$ - - In the perturbation initial conditions: \f$ h = \sqrt{[F\left(\frac{k^2}{K}\right) / 6] \tanh{(\pi*\frac{\nu}{2})}} \f$ - - In the spectra module: \f$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 \mathcal{P}_h(k) \f$ + - In the primordial module: \f$ \mathcal{P}_h(k) = A_t (k/k^*)^{n_T} \f$ + - In the perturbation initial conditions: \f$ h = \sqrt{[F\left(\frac{k^2}{K}\right) / 6] \tanh{(\pi*\frac{\nu}{2})}} \f$ + - In the harmonic module: \f$ C_l^T = \frac{4}{\pi} \int \frac{dk}{k} [\Delta_l^T(q)]^2 \mathcal{P}_h(k) \f$ - We choose this last option, such that the primordial and - spectra module differ minimally in flat and non-flat space. Then we must impose + We choose this last option, such that the primordial and + harmonic module differ minimally in flat and non-flat space. Then we must impose - \f[ h = \sqrt{\left(\frac{F}{6}\right) \tanh{(\pi*\frac{\nu}{2})}} \f] + \f[ h = \sqrt{\left(\frac{F}{6}\right) \tanh{(\pi*\frac{\nu}{2})}} \f] - The factor F is found to be given by: + The factor F is found to be given by: - \f[ \sum_{ij} = \int \frac{dk}{k} \frac{k2(k2-K)}{(k2+3K)(k2+2K)} \mathcal{P}_h(k) \f] + \f[ \sum_{ij} = \int \frac{dk}{k} \frac{k2(k2-K)}{(k2+3K)(k2+2K)} \mathcal{P}_h(k) \f] - Introducing as usual \f$ q2 = k2 - 3K \f$ and using qdq = kdk this gives + Introducing as usual \f$ q2 = k2 - 3K \f$ and using qdq = kdk this gives - \f[ \sum_{ij} = \int \frac{dk}{k} \frac{(q2-3K)(q2-4K)}{q2(q2-K)} \mathcal{P}_h(k) \f] + \f[ \sum_{ij} = \int \frac{dk}{k} \frac{(q2-3K)(q2-4K)}{q2(q2-K)} \mathcal{P}_h(k) \f] - Using qdq = kdk this is equivalent to + Using qdq = kdk this is equivalent to - \f[ \sum_{ij} = \int \frac{dq}{q} \frac{q2-4K}{q2-K} \mathcal{P}_h(k(q)) \f] + \f[ \sum_{ij} = \int \frac{dq}{q} \frac{q2-4K}{q2-K} \mathcal{P}_h(k(q)) \f] - Finally, introducing \f$ \nu=q/\sqrt{|K|}\f$ and sgnK=SIGN(k)\f$=\pm 1\f$, this could also be written + Finally, introducing \f$ \nu=q/\sqrt{|K|}\f$ and sgnK=SIGN(k)\f$=\pm 1\f$, this could also be written - \f[ \sum_{ij} = \int \frac{d\nu}{\nu} \frac{(\nu2-4sgnK)}{(\nu2-sgnK)} \mathcal{P}_h(k(\nu)) \f] + \f[ \sum_{ij} = \int \frac{d\nu}{\nu} \frac{(\nu2-4sgnK)}{(\nu2-sgnK)} \mathcal{P}_h(k(\nu)) \f] - Equation (43,44) of Hu, Seljak, White, Zaldarriaga is - equivalent to absorbing the above factor - \f$ (\nu2-4sgnK)/(\nu2-sgnK)\f$ in the definition of the primordial - spectrum. Since the initial condition should be written in terms of k rather than nu, they should read + Equation (43,44) of Hu, Seljak, White, Zaldarriaga is + equivalent to absorbing the above factor + \f$ (\nu2-4sgnK)/(\nu2-sgnK)\f$ in the definition of the primordial + spectrum. Since the initial condition should be written in terms of k rather than nu, they should read - \f[ h = \sqrt{ [k2(k2-K)]/[(k2+3K)(k2+2K)] / 6 * \tanh{(\pi*\frac{\nu}{2})} } \f] + \f[ h = \sqrt{ [k2(k2-K)]/[(k2+3K)(k2+2K)] / 6 * \tanh{(\pi*\frac{\nu}{2})} } \f] - We leave the freedom to multiply by an arbitrary number - ppr->gw_ini. The standard convention corresponding to - standard definitions of r, \f$ A_T\f$, \f$ n_T\f$ is however ppr->gw_ini=1. - * - */ + We leave the freedom to multiply by an arbitrary number + ppr->gw_ini. The standard convention corresponding to + standard definitions of r, \f$ A_T\f$, \f$ n_T\f$ is however ppr->gw_ini=1. + * + */ if (index_ic == ppt->index_ic_ten) { ppw->pv->y[ppw->pv->index_pt_gw] = ppr->gw_ini/_SQRT6_; @@ -5732,7 +6153,7 @@ int perturb_initial_conditions(struct precision * ppr, * Evaluate background quantities at \f$ \tau \f$, as well as thermodynamics for scalar mode; infer useful flags and time scales for integrating the perturbations: * - check whether tight-coupling approximation is needed. * - check whether radiation (photons, massless neutrinos...) perturbations are needed. - * - choose step of integration: step = ppr->perturb_integration_stepsize * min_time_scale, where min_time_scale = smallest time scale involved in the equations. There are three time scales to compare: + * - choose step of integration: step = ppr->perturbations_integration_stepsize * min_time_scale, where min_time_scale = smallest time scale involved in the equations. There are three time scales to compare: * -# that of recombination, \f$ \tau_c = 1/\kappa' \f$ * -# Hubble time scale, \f$ \tau_h = a/a' \f$ * -# Fourier mode, \f$ \tau_k = 1/k \f$ @@ -5763,17 +6184,16 @@ int perturb_initial_conditions(struct precision * ppr, * @return the error status */ -int perturb_approximations( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double tau, - struct perturb_workspace * ppw, - double * tau_scheme_qs_smg - ) { +int perturbations_approximations( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double tau, + struct perturbations_workspace * ppw + ) { /** Summary: */ /** - define local variables */ @@ -5783,10 +6203,15 @@ int perturb_approximations( /* (b) time scale of expansion, \f$ \tau_h = a/a' \f$ */ double tau_h; /* (c) time scale of recombination, \f$ \tau_{\gamma} = 1/\kappa' \f$ */ - double tau_c; + double tau_c = 0.; + /* in case of idm_g there is a third condition for the tca, tau_c * dmu_idm_g << 1 which we need to take into account - see 1802.06589 */ + double tau_dmu_idm_g = 0., tau_dmu_idm_dr = 0.; + /* in case of idm_b there is a fourth condition */ + double tau_R_idm_b; /** - compute Fourier mode time scale = \f$ \tau_k = 1/k \f$ */ + class_test(k == 0., ppt->error_message, "stop to avoid division by zero"); @@ -5796,7 +6221,7 @@ int perturb_approximations( /** - evaluate background quantities with background_at_tau() and Hubble time scale \f$ \tau_h = a/a' \f$ */ - class_call(background_at_tau(pba,tau, pba->normal_info, ppw->inter_mode, &(ppw->last_index_back), ppw->pvecback), + class_call(background_at_tau(pba,tau, normal_info, (interpolation_method)ppw->inter_mode, &(ppw->last_index_back), ppw->pvecback), pba->error_message, ppt->error_message); @@ -5815,13 +6240,21 @@ int perturb_approximations( class_call(thermodynamics_at_z(pba, pth, 1./ppw->pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - ppw->inter_mode, + (interpolation_method)ppw->inter_mode, &(ppw->last_index_thermo), ppw->pvecback, ppw->pvecthermo), pth->error_message, ppt->error_message); + /* in case of idm_g, calculate relevant quantities */ + if (pth->has_idm_g == _TRUE_) { + class_test(ppw->pvecthermo[pth->index_th_dmu_idm_g] == 0., + ppt->error_message, + "dmu_idm_g = 0 - stop to avoid division by 0") + tau_dmu_idm_g = 1./ppw->pvecthermo[pth->index_th_dmu_idm_g]; + } + /** - ---> (b.1.) if \f$ \kappa'=0 \f$, recombination is finished; tight-coupling approximation must be off */ if (ppw->pvecthermo[pth->index_th_dkappa] == 0.) { @@ -5855,9 +6288,54 @@ int perturb_approximations( ppw->approx[ppw->index_ap_tca] = (int)tca_off; } - } - /** - --> (c) free-streaming approximations */ + /* for idm_g there is a third condition for the tca */ + if (pth->has_idm_g == _TRUE_) { + if (tau_c/tau_dmu_idm_g >= ppr->tight_coupling_trigger_tau_c_over_tau_dmu_idm_g) { + if (ppw->approx[ppw->index_ap_tca] == (int)tca_on && ppt->perturbations_verbose > 2) { + printf("switched off tca for k = %5.e because of idm_g at tau = %5.e\n", k, tau); + } + ppw->approx[ppw->index_ap_tca] = (int)tca_off; + } + } + } + /* for idm_b there is a fourth condition for the tca */ + if (pth->has_idm_b == _TRUE_) { + tau_R_idm_b = 1./ppw->pvecthermo[pth->index_th_R_idm_b]; + if (tau_c/tau_R_idm_b >= ppr->tight_coupling_trigger_tau_c_over_tau_R_idm_b) { + if (ppw->approx[ppw->index_ap_tca] == (int)tca_on && ppt->perturbations_verbose > 2) { + printf("switched off tca for k = %5.e because of idm_b at tau = %5.e\n", k, tau); + } + ppw->approx[ppw->index_ap_tca] = (int)tca_off; + } + } + + if (pth->has_idm_dr == _TRUE_){ + if (ppw->pvecthermo[pth->index_th_dmu_idm_dr] == 0.){ + ppw->approx[ppw->index_ap_tca_idm_dr] = (int)tca_idm_dr_off; + } + else{ + tau_dmu_idm_dr = 1./ppw->pvecthermo[pth->index_th_dmu_idm_dr]; + + class_test(tau_dmu_idm_dr < 0., + ppt->error_message, + "negative tau_idm_dr=1/dmu_idm_dr=%e at z=%e, conformal time=%e.\n", + tau_dmu_idm_dr, + 1./ppw->pvecback[pba->index_bg_a]-1., + tau); + + if ((tau_dmu_idm_dr / tau_h < ppr->idm_dr_tight_coupling_trigger_tau_c_over_tau_h) && + (tau_dmu_idm_dr / tau_k < ppr->idm_dr_tight_coupling_trigger_tau_c_over_tau_k) && + (pth->n_index_idm_dr>=2) && (ppt->idr_nature == idr_free_streaming)) { + ppw->approx[ppw->index_ap_tca_idm_dr] = (int)tca_idm_dr_on; + } + else{ + ppw->approx[ppw->index_ap_tca_idm_dr] = (int)tca_idm_dr_off; + } + } + } + + /** - --> (c) free-streaming approximations */ if ((tau/tau_k > ppr->radiation_streaming_trigger_tau_over_tau_k) && (tau > pth->tau_free_streaming) && @@ -5869,6 +6347,21 @@ int perturb_approximations( ppw->approx[ppw->index_ap_rsa] = (int)rsa_off; } + /* interacting dark radiation free streaming approximation*/ + if (pba->has_idr == _TRUE_){ + + if ((tau/tau_k > ppr->idr_streaming_trigger_tau_over_tau_k) && + (tau > pth->tau_idr_free_streaming) && + (pth->has_idm_dr == _FALSE_ || pth->n_index_idm_dr >= 2) && + (ppr->idr_streaming_approximation != rsa_idr_none)){ + + ppw->approx[ppw->index_ap_rsa_idr] = (int)rsa_idr_on; + } + else{ + ppw->approx[ppw->index_ap_rsa_idr] = (int)rsa_idr_off; + } + } + if (pba->has_ur == _TRUE_) { if ((tau/tau_k > ppr->ur_fluid_trigger_tau_over_tau_k) && @@ -5893,48 +6386,14 @@ int perturb_approximations( } } - /* (d) quasi-static approximation - * the switch times are previously calculated - * Here it assigns the approxiamtion status to the time tau - */ - - if (pba->has_smg == _TRUE_){ - if (ppt->method_qs_smg == automatic) { - - if (tau >= tau_scheme_qs_smg[6]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_6; - } - else if (tau >= tau_scheme_qs_smg[5]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_5; - } - else if (tau >= tau_scheme_qs_smg[4]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_4; - } - else if (tau >= tau_scheme_qs_smg[3]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_3; - } - else if (tau >= tau_scheme_qs_smg[2]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_2; - } - else if (tau >= tau_scheme_qs_smg[1]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_1; - } - else if (tau >= tau_scheme_qs_smg[0]) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; - } - } - else if ((ppt->method_qs_smg == quasi_static) || (ppt->method_qs_smg == quasi_static_debug)) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_qs_1; - } - else if ((ppt->method_qs_smg == fully_dynamic) || (ppt->method_qs_smg == fully_dynamic_debug)) { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; - } - else { - ppw->approx[ppw->index_ap_qs_smg] = (int)qs_smg_fd_0; - } - } - -} + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_switch_approximation_qs_smg(ppt, ppw, tau), + ppt->error_message, + ppt->error_message + ); + } + } /** - for tensor modes: */ @@ -5945,7 +6404,7 @@ int perturb_approximations( class_call(thermodynamics_at_z(pba, pth, 1./ppw->pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - ppw->inter_mode, + (interpolation_method)ppw->inter_mode, &(ppw->last_index_thermo), ppw->pvecback, ppw->pvecthermo), @@ -6010,12 +6469,12 @@ int perturb_approximations( * @param error_message Output: error message */ -int perturb_timescale( - double tau, - void * parameters_and_workspace, - double * timescale, - ErrorMsg error_message - ) { +int perturbations_timescale( + double tau, + void * parameters_and_workspace, + double * timescale, + ErrorMsg error_message + ) { /** Summary: */ /** - define local variables */ @@ -6029,16 +6488,16 @@ int perturb_timescale( /* various pointers allowing to extract the fields of the parameter_and_workspace input structure */ - struct perturb_parameters_and_workspace * pppaw; + struct perturbations_parameters_and_workspace * pppaw; struct background * pba; - struct thermo * pth; - struct perturbs * ppt; - struct perturb_workspace * ppw; + struct thermodynamics * pth; + struct perturbations * ppt; + struct perturbations_workspace * ppw; double * pvecback; double * pvecthermo; /** - extract the fields of the parameter_and_workspace input structure */ - pppaw = parameters_and_workspace; + pppaw = (struct perturbations_parameters_and_workspace *)parameters_and_workspace; pba = pppaw->pba; pth = pppaw->pth; ppt = pppaw->ppt; @@ -6057,7 +6516,7 @@ int perturb_timescale( /** - evaluate background quantities with background_at_tau() and Hubble time scale \f$ \tau_h = a/a' \f$ */ - class_call(background_at_tau(pba,tau, pba->normal_info, ppw->inter_mode, &(ppw->last_index_back), pvecback), + class_call(background_at_tau(pba,tau, normal_info, (interpolation_method)ppw->inter_mode, &(ppw->last_index_back), pvecback), pba->error_message, error_message); @@ -6081,7 +6540,7 @@ int perturb_timescale( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - ppw->inter_mode, + (interpolation_method)ppw->inter_mode, &(ppw->last_index_thermo), pvecback, pvecthermo), @@ -6112,7 +6571,7 @@ int perturb_timescale( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - ppw->inter_mode, + (interpolation_method)ppw->inter_mode, &(ppw->last_index_thermo), pvecback, pvecthermo), @@ -6142,7 +6601,7 @@ int perturb_timescale( class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - ppw->inter_mode, + (interpolation_method)ppw->inter_mode, &(ppw->last_index_thermo), pvecback, pvecthermo), @@ -6180,30 +6639,25 @@ int perturb_timescale( * @return the error status */ -int perturb_einstein( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double tau, - double * y, - struct perturb_workspace * ppw - ) { +int perturbations_einstein( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double tau, + double * y, + struct perturbations_workspace * ppw + ) { /** Summary: */ /** - define local variables */ - double k2=0.,a=0.,a2=0.,a_prime_over_a=0.; - double s2_squared=0.; + double k2,a,a2,a_prime_over_a; + double s2_squared; double shear_g = 0.; - double D=0., cs2num=0., cs2num_p=0.; - double l1=0., l2=0., l3=0., l4=0., l5=0., l6=0., l7=0., l8=0., l9=0., l10=0., l11=0.; - double l2_p=0., l8_p=0., l9_p=0., l11_p=0.; - double M2=0., DelM2=0., kin=0., bra=0., run=0., ten=0., bra_p=0.; - double rho_tot=0., p_tot=0., rho_smg=0., p_smg=0., H=0., rho_r=0.; - double g1=0., g2=0., g3=0., g4=0., g5=0., g6=0., g7=0., g8=0., g9=0.; + double shear_idr = 0.; /** - define wavenumber and scale factor related quantities */ @@ -6214,7 +6668,7 @@ int perturb_einstein( s2_squared = 1.-3.*pba->K/k2; /** - sum up perturbations from all species */ - class_call(perturb_total_stress_energy(ppr,pba,pth,ppt,index_md,k,y,ppw), + class_call(perturbations_total_stress_energy(ppr,pba,pth,ppt,index_md,k,y,ppw), ppt->error_message, ppt->error_message); @@ -6250,261 +6704,122 @@ int perturb_einstein( if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { - class_call(perturb_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw), + class_call(perturbations_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), ppt->error_message, ppt->error_message); + } + if ((pba->has_idr)&&(ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on)){ + + class_call(perturbations_rsa_idr_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), + ppt->error_message, + ppt->error_message); } } /* synchronous gauge */ if (ppt->gauge == synchronous) { - if (pba->has_smg == _TRUE_) { - - M2 = ppw->pvecback[pba->index_bg_M2_smg]; - DelM2 = ppw->pvecback[pba->index_bg_delta_M2_smg];//M2-1 - kin = ppw->pvecback[pba->index_bg_kineticity_smg]; - bra = ppw->pvecback[pba->index_bg_braiding_smg]; - run = ppw->pvecback[pba->index_bg_mpl_running_smg]; - ten = ppw->pvecback[pba->index_bg_tensor_excess_smg]; - bra_p = ppw->pvecback[pba->index_bg_braiding_prime_smg]; - - rho_tot = ppw->pvecback[pba->index_bg_rho_tot_wo_smg]; - p_tot = ppw->pvecback[pba->index_bg_p_tot_wo_smg]; - rho_smg = ppw->pvecback[pba->index_bg_rho_smg]; - p_smg = ppw->pvecback[pba->index_bg_p_smg]; - rho_r = ppw->pvecback[pba->index_bg_rho_g] + ppw->pvecback[pba->index_bg_rho_ur]; - - H = ppw->pvecback[pba->index_bg_H]; - - l1 = ppw->pvecback[pba->index_bg_lambda_1_smg]; - l2 = ppw->pvecback[pba->index_bg_lambda_2_smg]; - l3 = ppw->pvecback[pba->index_bg_lambda_3_smg]; - l4 = ppw->pvecback[pba->index_bg_lambda_4_smg]; - l5 = ppw->pvecback[pba->index_bg_lambda_5_smg]; - l6 = ppw->pvecback[pba->index_bg_lambda_6_smg]; - l7 = ppw->pvecback[pba->index_bg_lambda_7_smg]; - l8 = ppw->pvecback[pba->index_bg_lambda_8_smg]; - l9 = ppw->pvecback[pba->index_bg_lambda_9_smg]; - l10 = ppw->pvecback[pba->index_bg_lambda_10_smg]; - l11 = ppw->pvecback[pba->index_bg_lambda_11_smg]; - l2_p = ppw->pvecback[pba->index_bg_lambda_2_prime_smg]; - l8_p = ppw->pvecback[pba->index_bg_lambda_8_prime_smg]; - l9_p = ppw->pvecback[pba->index_bg_lambda_9_prime_smg]; - l11_p = ppw->pvecback[pba->index_bg_lambda_11_prime_smg]; - - cs2num = ppw->pvecback[pba->index_bg_cs2num_smg]; - D = ppw->pvecback[pba->index_bg_kinetic_D_smg]; - cs2num_p = ppw->pvecback[pba->index_bg_cs2num_prime_smg]; - - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; - - if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { - - /* write here the values, as taken from the integration */ - ppw->pvecmetric[ppw->index_mt_vx_smg] = y[ppw->pv->index_pt_vx_smg]; - ppw->pvecmetric[ppw->index_mt_vx_prime_smg] = y[ppw->pv->index_pt_vx_prime_smg]; - - }//end of fully_dynamic assignation of vx and vx' - else if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 1) { - - g1 = cs2num*pow(k/(a*H),2) -4.*l8; - - g2 = (2. - bra)*(g1 + (3.*bra + kin)*bra*rho_r*pow(H,-2)*pow(M2,-1) - bra*cs2num*pow(k/(a*H),2)/2.)/2. - 3./4.*(3.*bra + kin)*(rho_tot + p_tot)*pow(H,-2)*l2*pow(M2,-1); - - g3 = - (2.*(2. - bra)*bra*rho_r - 3.*(rho_tot + p_tot)*l2)*(18. - 18.*(rho_tot + p_tot)*pow(H,-2)*pow(M2,-1) - 15.*bra - 2.*kin + 9.*(2. - bra)*(p_tot + p_smg)*pow(H,-2) - 2.*bra*pow(k/(a*H),2))*pow(H,-2)*pow(M2,-1) + 2.*(2. - bra)*cs2num*(5. - bra - 3.*(rho_tot + p_tot)*pow(M2,-1)*pow(H,-2) + 9.*(p_tot + p_smg)*pow(H,-2))*pow(k/(a*H),2) + 4.*(2. - bra)*(pow(k/(a*H),2)*cs2num_p - 4.*l8_p)/(a*H); - - g4 = 3.*l2*l4 + 2.*D*l9 - D*(2.*l2 + 2.*l11 - bra*l11)*pow(k/a/H,2); - - g5 = (l11 + l2)*pow(k/a/H,2) - l9; - - g6 = 2.*l1*l2*l9 + (pow(H,2) + 3.*p_tot + 3.*p_smg)*3.*pow(H,-2)*D*l11*l9 + (2.*D*(l11*l2_p - l2*l11_p)/a/H - 2.*(l11 + l2)*l1*l2 - (l11 + l2)*(pow(H,2) + 3.*p_tot + 3.*p_smg)*pow(H,-2)*D*l11)*pow(k/a/H,2) + 2.*D*(l9*l11_p - l11*l9_p)/a/H; - - g7 = -2.*l2*l3*l9 - 2.*bra*rho_r*pow(H,-2)*D*l9*pow(M2,-1) - (pow(H,2) + 3.*p_tot + 3.*p_smg)*pow(H,-2)*D*l2*l9 + (D*(l11*l2_p - l2*l11_p)/a/H + (l11 + l2)*2.*l2*l3 + (l11 + l2)*2.*bra*rho_r*pow(H,-2)*D/M2)*pow(k/a/H,2) - D*(l9*l2_p - l2*l9_p)/a/H; - - g8 = 6.*l2*l6 + (2.*l2*l5 + (- 3.*DelM2 + bra*M2)*rho_tot*pow(H,-2)*D*l11*pow(M2,-1) - 3.*DelM2*pow(H,-2)*D*l11*pow(M2,-1)*p_tot - (3.*rho_smg - bra*rho_smg + 3.*p_smg)*pow(H,-2)*D*l11)*pow(k/a/H,2); - - g9 = 2.*D*(bra_p*l9 - bra*l9_p)/a/H - (bra*D + 2.*bra*run*D - 2.*kin*l2 - 9.*bra*D*(p_tot + p_smg)*pow(H,-2))*l9 + (2.*D*(bra*l11_p + bra*l2_p - (l11 + l2)*bra_p)/a/H + (l11 + l2)*(3.*bra*D + 2.*bra*run*D - 2.*kin*l2 - 3.*bra*D*(p_tot + p_smg)*pow(H,-2)))*pow(k/a/H,2); - - class_test(g1<0., - ppt->error_message, - " At k =%e and a =%e the mass of the scalar field is negative. In this regime you should not use the QS approximation, since divergencies are expected!", k, a); - - /* scalar field equation */ - // Make sure you copy this to QS initial conditions if you change it (lines ~4963 or so) - //search for "QS-IC-change" - if (((pba->min_bra_smg<=2.) && (pba->max_bra_smg>=2.)) || (ppr->get_h_from_trace_smg==_TRUE_)) { - - ppw->pvecmetric[ppw->index_mt_vx_smg] = ((-2.)*pow(k,2)*l11*M2*y[ppw->pv->index_pt_eta] + (-1.)*H*l2*M2*y[ppw->pv->index_pt_h_prime_from_trace_smg]*a + 9.*bra*ppw->delta_p*pow(a,2))*pow((l11 + l2)*(-2.)*H*pow(k,2)*M2*a + 2.*pow(H,3)*l9*M2*pow(a,3),-1); - - } - else{ - - ppw->pvecmetric[ppw->index_mt_vx_smg] = (4.*cs2num*pow(k,2)*M2*y[ppw->pv->index_pt_eta] + 6.*l2*ppw->delta_rho*pow(a,2) + ((-2.) + bra)*9.*bra*ppw->delta_p*pow(a,2))*1./4.*pow(H,-1)*pow(M2,-1)*pow(a,-1)*pow(pow(a*H,2),-1)/g1; - - } - - /* scalar field derivative equation - * In order to estimate it we followed this procedure: - * - we calculated analytically the time derivative of the vx equation - * - we used delta_p' = delta_rho_r'/3 (radiation is the only component that contributes to delta_p') - * - we used the conservation equation for radiation to get rid of delta_rho_r' - * - we used the conservation equation for a generic fluid to get rid of delta_rho' - * - we used the Einstein equations to get rid of eta' - * The result is approximated when rsa is on since the velocity of radiation gets updated only after the first Einstein equations (few lines below) */ - if (((pba->min_bra_smg<=2.) && (pba->max_bra_smg>=2.)) || (ppr->get_h_from_trace_smg==_TRUE_)) { - - ppw->pvecmetric[ppw->index_mt_vx_prime_smg] = (-3.)/2.*pow(g4,-1)*pow(g5,-1)*g9*pow(H,-2)*pow(M2,-1)*ppw->delta_rho_r + pow(g4,-1)*pow(g5,-1)*g6*pow(H,-2)*pow(k,2)*y[ppw->pv->index_pt_eta]*pow(a,-2) + (-3.)*pow(g4,-1)*pow(H,-3)*D*l11*pow(M2,-1)*ppw->rho_plus_p_theta*pow(a,-1) + (-3.)*bra*pow(g4,-1)*pow(H,-3)*D*pow(M2,-1)*ppw->rho_plus_p_theta_r*pow(a,-1) + (-1.)*pow(g4,-1)*pow(g5,-1)*g7*pow(H,-1)*y[ppw->pv->index_pt_h_prime_from_trace_smg]*pow(a,-1) + (-1.)*pow(g4,-1)*g8*H*ppw->pvecmetric[ppw->index_mt_vx_smg]*a; + if(pba->has_smg == _TRUE_) { - } - else{ + perturbations_einstein_scalar_smg(ppr, pba, pth, ppt, ppw, k, tau, y); - ppw->pvecmetric[ppw->index_mt_vx_prime_smg] = 3./2./g2*(pow(2.-bra,2)*bra*pow(H,-2)*ppw->delta_rho_r/M2 - + (2.-bra)*(cs2num-l2)*pow(H,-3)*ppw->rho_plus_p_theta/2./a/M2 - + 3./2.*(2.-bra)*pow(H,-2)*((2.-bra)*(-7.+2.*run)*bra/4.+bra*g3/g1/8.-l2-9./4.*(2.-bra)*bra*pow(H,-2)*(p_tot+p_smg)-(1.-bra)*bra_p/a/H)*ppw->delta_p/M2 - + ((2.-bra)*bra*rho_r*pow(H,-2)*pow(M2,-1)-g3/g1*l2/8.-(6.*rho_tot/M2*pow(H,-2)-2.+bra+4.*run-2.*bra*run)*l2/4.-3./4.*(2./M2-6.+3.*bra)*pow(H,-2)*l2*p_tot+9./4.*(2.-bra)*pow(H,-2)*l2*p_smg+(2.-bra)*l2_p/a/H/2.)*pow(H,-2)*ppw->delta_rho/M2 - + (3./2.*(2.-bra)*cs2num*(p_tot+p_smg)*pow(H,-2)- l2*(rho_tot+p_tot)/M2*pow(H,-2)+ (2.-bra)*cs2num_p/a/H/3.+ (2.-bra)*cs2num/2.- cs2num*g3/g1/12.+ 2./3.*(2.-bra)*bra*rho_r/M2*pow(H,-2))*pow(k/a/H,2)*y[ppw->pv->index_pt_eta] - +pow(2.-bra,2)*bra*pow(H,-3)*ppw->rho_plus_p_theta_r/a/M2/4.); - - } + } + else { // Standard equations + /* Get eta from the integrator */ + ppw->pvecmetric[ppw->index_mt_eta] = y[ppw->pv->index_pt_eta]; - }//end of quasi_static assignation of vx and vx' + /* first equation involving total density fluctuation (not only _smg) */ + if (ppt->get_h_from_trace == _TRUE_) { + ppw->pvecmetric[ppw->index_mt_h_prime] = y[ppw->pv->index_pt_h_prime_from_trace]; + } else { - printf("scalar field equation: quasi-static approximation mode %i not recognized. should be quasi_static or fully_dynamic\n",ppw->approx[ppw->index_ap_qs_smg]); - return _FAILURE_; + ppw->pvecmetric[ppw->index_mt_h_prime] = + ( k2 * s2_squared * y[ppw->pv->index_pt_eta] + 1.5 * a2 * ppw->delta_rho)/(0.5*a_prime_over_a); /* h' */ } + /* eventually, infer radiation streaming approximation for + gamma and ur (this is exactly the right place to do it + because the result depends on h_prime) */ - /* first equation involving total density fluctuation */ - /* If braiding crosses 2 integrate from Einstein trace to avoid divergences */ - if (((pba->min_bra_smg<=2.) && (pba->max_bra_smg>=2.)) || (ppr->get_h_from_trace_smg==_TRUE_)) { - ppw->pvecmetric[ppw->index_mt_h_prime] = y[ppw->pv->index_pt_h_prime_from_trace_smg]; - } - else{ - ppw->pvecmetric[ppw->index_mt_h_prime] = (- 4.*pow(H,-1)*pow(k,2)*y[ppw->pv->index_pt_eta]*pow(a,-1) - 6.*pow(H,-1)*pow(M2,-1)*ppw->delta_rho*a + (3.*bra + kin)*2.*H*ppw->pvecmetric[ppw->index_mt_vx_prime_smg]*a + (2.*bra*pow(k,2) + (-18. + 15.*bra + 2.*kin)*rho_smg*pow(a,2) + (-18.*DelM2 + 15.*bra*M2 + 2.*kin*M2)*rho_tot*pow(M2,-1)*pow(a,2) + (-2.*DelM2 + bra*M2)*9.*pow(M2,-1)*p_tot*pow(a,2) + 9.*(-2. + bra)*p_smg*pow(a,2))*ppw->pvecmetric[ppw->index_mt_vx_smg])*pow(-2. + bra,-1); - } - - /* eventually, infer radiation streaming approximation for gamma and ur (this is exactly the right place to do it because the result depends on h_prime) */ if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { - /* correction to the evolution of ur and g species in radiation streaming approximation due to non-negligible pressure at late-times */ - ppw->pvecmetric[ppw->index_mt_rsa_p_smg] = (kin/(D*M2) - 1.)*ppw->delta_p - 1./3.*pow(H,2)*pow(D,-1)*l4*ppw->pvecmetric[ppw->index_mt_vx_prime_smg] + 2./9.*(1. - l1/D)*pow(k,2)*y[ppw->pv->index_pt_eta]*pow(a,-2) - 2./9.*(1. + l3/D)*H*ppw->pvecmetric[ppw->index_mt_h_prime]*pow(a,-1) - 2./9.*(H*pow(D,-1)*pow(k,2)*l5*pow(a,-1) + 3.*pow(H,3)*pow(D,-1)*l6*a)*ppw->pvecmetric[ppw->index_mt_vx_smg]; - - class_call(perturb_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw), - ppt->error_message, - ppt->error_message); - - /* update total theta given rsa approximation results */ + class_call(perturbations_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), + ppt->error_message, + ppt->error_message); + } - ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*ppw->rsa_theta_g; + if ((pba->has_idr==_TRUE_)&&(ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on)) { - if (pba->has_ur == _TRUE_) { + class_call(perturbations_rsa_idr_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw,ppt->error_message), + ppt->error_message, + ppt->error_message); - ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*ppw->rsa_theta_ur; + ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*ppw->rsa_theta_idr; - } } - /* second equation involving total velocity */ - ppw->pvecmetric[ppw->index_mt_eta_prime] = 1./2.*bra*H*ppw->pvecmetric[ppw->index_mt_vx_prime_smg]*a + 3./2.*pow(k,-2)*pow(M2,-1)*ppw->rho_plus_p_theta*pow(a,2) + (((-3.) + bra)*1./2.*rho_smg*pow(a,2) + (-3.*DelM2 + bra*M2)*1./2.*rho_tot*pow(M2,-1)*pow(a,2) + DelM2*(-3.)/2.*pow(M2,-1)*p_tot*pow(a,2) + (-3.)/2.*p_smg*pow(a,2))*ppw->pvecmetric[ppw->index_mt_vx_smg]; /* eta' */ + ppw->pvecmetric[ppw->index_mt_eta_prime] = (1.5 * a2 * ppw->rho_plus_p_theta + 0.5 * pba->K * ppw->pvecmetric[ppw->index_mt_h_prime])/k2/s2_squared; /* eta' */ + /* Here we are storing deviations from the first (00) einstein equation. + This is to check that h' and the other variables are being properly + integrated and as a friction term for the third einstein equation (h'') */ + ppw->pvecmetric[ppw->index_mt_einstein00] = + - a_prime_over_a/a2*ppw->pvecmetric[ppw->index_mt_h_prime] + + 2.*k2/a2 * s2_squared * y[ppw->pv->index_pt_eta] + + 3. * ppw->delta_rho; /* not only _smg */ /* third equation involving total pressure */ - ppw->pvecmetric[ppw->index_mt_h_prime_prime] = 2.*pow(D,-1)*pow(k,2)*l1*y[ppw->pv->index_pt_eta] + 2.*H*pow(D,-1)*l3*ppw->pvecmetric[ppw->index_mt_h_prime]*a + (-9.)*kin*pow(D,-1)*pow(M2,-1)*ppw->delta_p*pow(a,2) + 3.*pow(H,2)*pow(D,-1)*l4*ppw->pvecmetric[ppw->index_mt_vx_prime_smg]*pow(a,2) + (2.*H*pow(D,-1)*pow(k,2)*l5*a + 6.*pow(H,3)*pow(D,-1)*l6*pow(a,3))*ppw->pvecmetric[ppw->index_mt_vx_smg]; - + ppw->pvecmetric[ppw->index_mt_h_prime_prime] = + - 2. * a_prime_over_a * ppw->pvecmetric[ppw->index_mt_h_prime] + + 2. * k2 * s2_squared * y[ppw->pv->index_pt_eta] + - 9. * a2 * ppw->delta_p; + + /* This corrects the third equation using the Einstein 00. It has to be + read as a friction term that vanishes whenever the Hamiltonian constraint + is satisfied. */ + if (ppt->get_h_from_trace == _TRUE_) { // not only _smg + ppw->pvecmetric[ppw->index_mt_h_prime_prime] += + a*a*ppr->einstein00_friction*ppw->pvecmetric[ppw->index_mt_einstein00]; + } /* alpha = (h'+6eta')/2k^2 */ ppw->pvecmetric[ppw->index_mt_alpha] = (ppw->pvecmetric[ppw->index_mt_h_prime] + 6.*ppw->pvecmetric[ppw->index_mt_eta_prime])/2./k2; - /* eventually, infer first-order tight-coupling approximation for photon - shear, then correct the total shear */ + shear, then correct the total shear */ if (ppw->approx[ppw->index_ap_tca] == (int)tca_on) { - shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + if (pth->has_idm_g == _TRUE_) { + shear_g = 16./45./(ppw->pvecthermo[pth->index_th_dkappa] + ppw->pvecthermo[pth->index_th_dmu_idm_g])*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + } + else { + shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); + } ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*shear_g; } - /* fourth equation involving total shear */ - ppw->pvecmetric[ppw->index_mt_alpha_prime] = (1. + ten)*y[ppw->pv->index_pt_eta] + (2. + run)*(-1.)*H*ppw->pvecmetric[ppw->index_mt_alpha]*a + (run + (-1.)*ten)*H*ppw->pvecmetric[ppw->index_mt_vx_smg]*a + (-9.)/2.*pow(k,-2)*pow(M2,-1)*ppw->rho_plus_p_shear*pow(a,2); - + if (pth->has_idm_dr == _TRUE_) { + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on){ - if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { + shear_idr = 0.5*8./15./ppw->pvecthermo[pth->index_th_dmu_idm_dr]/ppt->alpha_idm_dr[0]*(y[ppw->pv->index_pt_theta_idr]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); - /* scalar field equation. This is the right place to evaluate it, since when rsa is on the radiation density gets updated */ - ppw->pvecmetric[ppw->index_mt_vx_prime_prime_smg] = (1./2.*l2*ppw->pvecmetric[ppw->index_mt_h_prime] + (bra + 2.*run + (-2.)*ten + bra*ten)*pow(H,-1)*pow(k,2)*y[ppw->pv->index_pt_eta]*pow(a,-1) + (-9.)/2.*bra*pow(H,-1)*pow(M2,-1)*ppw->delta_p*a + H*l10*ppw->pvecmetric[ppw->index_mt_vx_prime_smg]*a + ((bra + 2.*run + (-2.)*ten + bra*ten + l2)*(-1.)*pow(k,2) + pow(H,2)*l9*pow(a,2))*ppw->pvecmetric[ppw->index_mt_vx_smg])/D; - /* This is the previously used equation (where also h^\prime has been decoupled) */ - // ppw->pvecmetric[ppw->index_mt_vx_prime_prime_smg] = (-2.)*pow((-2.) + bra,-1)*cs2num*pow(H,-1)*pow(D,-1)*pow(k,2)*y[ppw->pv->index_pt_eta]*pow(a,-1) + (-3.)*pow((-2.) + bra,-1)*pow(H,-1)*pow(D,-1)*l2*pow(M2,-1)*ppw->delta_rho*a + (-9.)/2.*bra*pow(H,-1)*pow(D,-1)*pow(M2,-1)*ppw->delta_p*a + 8.*pow((-2.) + bra,-1)*H*pow(D,-1)*l7*ppw->pvecmetric[ppw->index_mt_vx_prime_smg]*a + (cs2num*pow(k,2) + (-4.)*pow(H,2)*l8*pow(a,2))*2.*pow((-2.) + bra,-1)*pow(D,-1)*ppw->pvecmetric[ppw->index_mt_vx_smg]; - - class_test(isnan(ppw->pvecmetric[ppw->index_mt_vx_prime_prime_smg]), - ppt->error_message, - " Isnan v_X'' at a =%e !",a); - - }//end of fully_dynamic equation - - }//end if has_smg - // Standard equations - else { - - /* first equation involving total density fluctuation */ - ppw->pvecmetric[ppw->index_mt_h_prime] = - ( k2 * s2_squared * y[ppw->pv->index_pt_eta] + 1.5 * a2 * ppw->delta_rho)/(0.5*a_prime_over_a); /* h' */ - - /* eventually, infer radiation streaming approximation for - gamma and ur (this is exactly the right place to do it - because the result depends on h_prime) */ - - if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { - - class_call(perturb_rsa_delta_and_theta(ppr,pba,pth,ppt,k,y,a_prime_over_a,ppw->pvecthermo,ppw), - ppt->error_message, - ppt->error_message); - - /* update total theta given rsa approximation results */ - - ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*ppw->rsa_theta_g; - - if (pba->has_ur == _TRUE_) { - - ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*ppw->rsa_theta_ur; - - } - } - - /* second equation involving total velocity */ - ppw->pvecmetric[ppw->index_mt_eta_prime] = (1.5 * a2 * ppw->rho_plus_p_theta + 0.5 * pba->K * ppw->pvecmetric[ppw->index_mt_h_prime])/k2/s2_squared; /* eta' */ - - /* third equation involving total pressure */ - ppw->pvecmetric[ppw->index_mt_h_prime_prime] = - - 2. * a_prime_over_a * ppw->pvecmetric[ppw->index_mt_h_prime] - + 2. * k2 * s2_squared * y[ppw->pv->index_pt_eta] - - 9. * a2 * ppw->delta_p; - - /* alpha = (h'+6eta')/2k^2 */ - ppw->pvecmetric[ppw->index_mt_alpha] = (ppw->pvecmetric[ppw->index_mt_h_prime] + 6.*ppw->pvecmetric[ppw->index_mt_eta_prime])/2./k2; - - /* eventually, infer first-order tight-coupling approximation for photon - shear, then correct the total shear */ - if (ppw->approx[ppw->index_ap_tca] == (int)tca_on) { - - shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_g]+k2*ppw->pvecmetric[ppw->index_mt_alpha]); - - ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*shear_g; + ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*shear_idr; + } + } - } + /* fourth equation involving total shear */ + ppw->pvecmetric[ppw->index_mt_alpha_prime] = //TBC + - 2. * a_prime_over_a * ppw->pvecmetric[ppw->index_mt_alpha] + + y[ppw->pv->index_pt_eta] + - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; + } - /* fourth equation involving total shear */ - ppw->pvecmetric[ppw->index_mt_alpha_prime] = //TBC - - 2. * a_prime_over_a * ppw->pvecmetric[ppw->index_mt_alpha] - + y[ppw->pv->index_pt_eta] - - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; - } // end of else (if no smg) - } // end of synchronous + } /* transform (delta_m, theta_m) of the current gauge into gauge-independent variables (you could comment this out if you @@ -6570,17 +6885,11 @@ int perturb_einstein( if (_tensors_) { /* single einstein equation for tensor perturbations */ - if (pba->has_smg == _FALSE_) { - ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -2.*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-(k2+2.*pba->K)*y[ppw->pv->index_pt_gw]+ppw->gw_source; + if (pba->has_smg == _TRUE_) { + perturbations_einstein_tensor_smg(pba, ppw, k, tau, y); } - /* modified version if gravity is non-standard. Note that no curvature is allowed in this case */ - else{ - - double M2 = ppw->pvecback[pba->index_bg_M2_smg]; - double run = ppw->pvecback[pba->index_bg_mpl_running_smg]; - double c_t2 = (1. + ppw->pvecback[pba->index_bg_tensor_excess_smg]); - - ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -(2. + run)*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-k2*c_t2*y[ppw->pv->index_pt_gw]+ppw->gw_source/M2; + else { + ppw->pvecmetric[ppw->index_mt_gw_prime_prime] = -2.*a_prime_over_a*y[ppw->pv->index_pt_gwdot]-(k2+2.*pba->K)*y[ppw->pv->index_pt_gw]+ppw->gw_source; } } @@ -6589,28 +6898,34 @@ int perturb_einstein( } -int perturb_total_stress_energy( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - int index_md, - double k, - double * y, - struct perturb_workspace * ppw - ) { +int perturbations_total_stress_energy( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + int index_md, + double k, + double * y, + struct perturbations_workspace * ppw + ) { /** Summary: */ /** - define local variables */ double a,a2,a_prime_over_a,k2; - double rho_plus_p_tot=0.; + double rho_m=0.; + double delta_rho_m=0.; + double rho_plus_p_m=0.; + double rho_plus_p_theta_m=0.; double delta_g=0.; double theta_g=0.; double shear_g=0.; double delta_ur=0.; double theta_ur=0.; double shear_ur=0.; + double delta_idr=0.; + double theta_idr=0.; + double shear_idr=0.; double rho_delta_ncdm=0.; double rho_plus_p_theta_ncdm=0.; double rho_plus_p_shear_ncdm=0.; @@ -6619,14 +6934,21 @@ int perturb_total_stress_energy( double rho_plus_p_ncdm; int index_q,n_ncdm,idx; double epsilon,q,q2,cg2_ncdm,w_ncdm,rho_ncdm_bg,p_ncdm_bg,pseudo_p_ncdm; - double rho_m,delta_rho_m,rho_plus_p_m,rho_plus_p_theta_m; double w_fld,dw_over_da_fld,integral_fld; double gwncdm; double rho_relativistic; double rho_dr_over_f; double delta_rho_scf, delta_p_scf, psi; + /** Variables used for FLD and PPF */ double c_gamma_k_H_square; - double Gamma_prime_plus_a_prime_over_a_Gamma, alpha=0., s2sq=1.; + double Gamma_prime_plus_a_prime_over_a_Gamma, s2sq=1.; + double w_prime_fld, ca2_fld; + double alpha, alpha_prime, metric_euler; + double rho_t, p_t, rho_t_prime, p_t_prime; + double rho_fld, p_fld, rho_fld_prime, p_fld_prime; + double X, Y, Z, X_prime, Y_prime, Z_prime; + double Gamma_fld, S, S_prime, theta_t, theta_t_prime, rho_plus_p_theta_fld_prime; + double delta_p_b_over_rho_b; /** - wavenumber and scale factor related quantities */ @@ -6672,17 +6994,23 @@ int perturb_total_stress_energy( /* first-order tight-coupling approximation for photon shear */ if (ppt->gauge == newtonian) { - shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*y[ppw->pv->index_pt_theta_g]; + if (pth->has_idm_g == _TRUE_) { + shear_g = 16./45./(ppw->pvecthermo[pth->index_th_dkappa] + ppw->pvecthermo[pth->index_th_dmu_idm_g])*y[ppw->pv->index_pt_theta_g]; + } + else { + shear_g = 16./45./ppw->pvecthermo[pth->index_th_dkappa]*y[ppw->pv->index_pt_theta_g]; + } + } else { shear_g = 0.; /* in the synchronous gauge, the expression of shear_g (at first-order in a tight-coupling expansion) is a function of h' and eta'; but h' - and eta' are calculated in perturb_einstein() + and eta' are calculated in perturbations_einstein() as a function of delta_g and theta_g. Hence, we set shear_g temporarily to zero, and set it to the right first-order value in - perturb_einstein(), just before using the + perturbations_einstein(), just before using the Einstein equation for the shear. */ } } @@ -6709,33 +7037,114 @@ int perturb_total_stress_energy( } + /** - ---> (a.3.) baryon pressure perturbation */ + + if ((ppt->has_perturbed_recombination == _TRUE_) &&(ppw->approx[ppw->index_ap_tca] == (int)tca_off)) { + delta_p_b_over_rho_b = ppw->pvecthermo[pth->index_th_wb]*(y[ppw->pv->index_pt_delta_b]+ y[ppw->pv->index_pt_perturbed_recombination_delta_temp]); + } + else { + delta_p_b_over_rho_b = ppw->pvecthermo[pth->index_th_cb2]*y[ppw->pv->index_pt_delta_b]; + } + + /** - ---> (a.4.) interacting dark radiation */ + + if (pba->has_idr == _TRUE_) { + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off) { + delta_idr = y[ppw->pv->index_pt_delta_idr]; + theta_idr = y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on){ + if (ppt->gauge == newtonian) + shear_idr = 0.5 *(8./15./ppw->pvecthermo[pth->index_th_dmu_idm_dr]/ppt->alpha_idm_dr[0]*(y[ppw->pv->index_pt_theta_idr])) ; + else + shear_idr = 0.; /* this is set in perturbations_einstein, so here it's set to 0 */ + } + else{ + shear_idr = y[ppw->pv->index_pt_shear_idr]; + } + } + } + else{ + delta_idr = 0.; + theta_idr = 0.; + shear_idr = 0.; + } + } + /** - --> (b) compute the total density, velocity and shear perturbations */ /* photon and baryon contribution */ ppw->delta_rho = ppw->pvecback[pba->index_bg_rho_g]*delta_g - + ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_delta_b]; + + ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_delta_b]; // contribution to total perturbed stress-energy ppw->rho_plus_p_theta = 4./3.*ppw->pvecback[pba->index_bg_rho_g]*theta_g - + ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_theta_b]; - ppw->rho_plus_p_shear = 4./3.*ppw->pvecback[pba->index_bg_rho_g]*shear_g; + + ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_theta_b]; // contribution to total perturbed stress-energy + ppw->rho_plus_p_shear = 4./3.*ppw->pvecback[pba->index_bg_rho_g]*shear_g; // contribution to total perturbed stress-energy ppw->delta_p = 1./3.*ppw->pvecback[pba->index_bg_rho_g]*delta_g - + ppw->pvecthermo[pth->index_th_cb2]*ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_delta_b]; - rho_plus_p_tot = 4./3. * ppw->pvecback[pba->index_bg_rho_g] + ppw->pvecback[pba->index_bg_rho_b]; + + ppw->pvecback[pba->index_bg_rho_b]*delta_p_b_over_rho_b; // contribution to total perturbed stress-energy + ppw->rho_plus_p_tot = 4./3. * ppw->pvecback[pba->index_bg_rho_g] + ppw->pvecback[pba->index_bg_rho_b]; ppw->delta_rho_r = ppw->pvecback[pba->index_bg_rho_g]*delta_g; ppw->rho_plus_p_theta_r = 4./3.*ppw->pvecback[pba->index_bg_rho_g]*theta_g; + if (ppt->has_source_delta_m == _TRUE_) { + delta_rho_m = ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_delta_b]; // contribution to delta rho_matter + rho_m = ppw->pvecback[pba->index_bg_rho_b]; + } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { + rho_plus_p_theta_m = ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_theta_b]; // contribution to [(rho+p)theta]_matter + rho_plus_p_m = ppw->pvecback[pba->index_bg_rho_b]; + } + /* cdm contribution */ if (pba->has_cdm == _TRUE_) { - ppw->delta_rho = ppw->delta_rho + ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_delta_cdm]; + ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_delta_cdm]; // contribution to total perturbed stress-energy if (ppt->gauge == newtonian) - ppw->rho_plus_p_theta = ppw->rho_plus_p_theta + ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_theta_cdm]; - rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_cdm]; + ppw->rho_plus_p_theta = ppw->rho_plus_p_theta + ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_theta_cdm]; // contribution to total perturbed stress-energy + + ppw->rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_cdm]; + + if (ppt->has_source_delta_m == _TRUE_) { + delta_rho_m += ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_delta_cdm]; // contribution to delta rho_matter + rho_m += ppw->pvecback[pba->index_bg_rho_cdm]; + } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { + if (ppt->gauge == newtonian) + rho_plus_p_theta_m += ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_theta_cdm]; // contribution to [(rho+p)theta]_matter + rho_plus_p_m += ppw->pvecback[pba->index_bg_rho_cdm]; + } + } + + /* idm contribution */ + if (pba->has_idm == _TRUE_) { + ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_idm]*y[ppw->pv->index_pt_delta_idm]; + ppw->rho_plus_p_theta += ppw->pvecback[pba->index_bg_rho_idm]*y[ppw->pv->index_pt_theta_idm]; + ppw->rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_idm]; + + if (ppt->has_source_delta_m == _TRUE_) { + delta_rho_m += ppw->pvecback[pba->index_bg_rho_idm]*y[ppw->pv->index_pt_delta_idm]; // contribution to delta rho_matter + rho_m += ppw->pvecback[pba->index_bg_rho_idm]; + } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { + rho_plus_p_theta_m += ppw->pvecback[pba->index_bg_rho_idm]*y[ppw->pv->index_pt_theta_idm]; // contribution to [(rho+p)theta]_matter + rho_plus_p_m += ppw->pvecback[pba->index_bg_rho_idm]; + } } /* dcdm contribution */ if (pba->has_dcdm == _TRUE_) { ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_delta_dcdm]; ppw->rho_plus_p_theta += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_theta_dcdm]; - rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_dcdm]; + + ppw->rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_dcdm]; + + if (ppt->has_source_delta_m == _TRUE_) { + delta_rho_m += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_delta_dcdm]; // contribution to delta rho_matter + rho_m += ppw->pvecback[pba->index_bg_rho_dcdm]; + } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { + rho_plus_p_theta_m += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_theta_dcdm]; // contribution to [(rho+p)theta]_matter + rho_plus_p_m += ppw->pvecback[pba->index_bg_rho_dcdm]; + } } /* ultra-relativistic decay radiation */ @@ -6751,7 +7160,8 @@ int perturb_total_stress_energy( ppw->rho_plus_p_theta += 4./3.*3./4*k*rho_dr_over_f*y[ppw->pv->index_pt_F0_dr+1]; ppw->rho_plus_p_shear += 2./3.*rho_dr_over_f*y[ppw->pv->index_pt_F0_dr+2]; ppw->delta_p += 1./3.*rho_dr_over_f*y[ppw->pv->index_pt_F0_dr]; - rho_plus_p_tot += 4./3. * ppw->pvecback[pba->index_bg_rho_dr]; + + ppw->rho_plus_p_tot += 4./3. * ppw->pvecback[pba->index_bg_rho_dr]; } /* ultra-relativistic neutrino/relics contribution */ @@ -6761,17 +7171,37 @@ int perturb_total_stress_energy( ppw->rho_plus_p_theta = ppw->rho_plus_p_theta + 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*theta_ur; ppw->rho_plus_p_shear = ppw->rho_plus_p_shear + 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*shear_ur; ppw->delta_p += 1./3.*ppw->pvecback[pba->index_bg_rho_ur]*delta_ur; - rho_plus_p_tot += 4./3. * ppw->pvecback[pba->index_bg_rho_ur]; + + ppw->rho_plus_p_tot += 4./3. * ppw->pvecback[pba->index_bg_rho_ur]; ppw->delta_rho_r = ppw->delta_rho_r + ppw->pvecback[pba->index_bg_rho_ur]*delta_ur; ppw->rho_plus_p_theta_r = ppw->rho_plus_p_theta_r + 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*theta_ur; } + /* interacting dark radiation */ + if (pba->has_idr == _TRUE_) { + ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_idr]*delta_idr; + ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*theta_idr; + if (ppt->idr_nature==idr_free_streaming) + ppw->rho_plus_p_shear += 4./3.*ppw->pvecback[pba->index_bg_rho_idr]*shear_idr; + ppw->delta_p += 1./3. * ppw->pvecback[pba->index_bg_rho_idr]*delta_idr; + ppw->rho_plus_p_tot += 4./3. * ppw->pvecback[pba->index_bg_rho_idr]; + } + + /* infer delta_cb abd theta_cb (perturbations from CDM and baryons) before adding ncdm */ + if ((ppt->has_source_delta_m == _TRUE_) && (ppt->has_source_delta_cb == _TRUE_)) + ppw->delta_cb = delta_rho_m/rho_m; + + if (((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) && + ((ppt->has_source_delta_cb == _TRUE_) || (ppt->has_source_theta_cb == _TRUE_))) + ppw->theta_cb = rho_plus_p_theta_m/rho_plus_p_m; + + /* non-cold dark matter contribution */ if (pba->has_ncdm == _TRUE_) { idx = ppw->pv->index_pt_psi0_ncdm1; - if(ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on){ + if (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on){ // The perturbations are evolved integrated: - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ rho_ncdm_bg = ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; p_ncdm_bg = ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; pseudo_p_ncdm = ppw->pvecback[pba->index_bg_pseudo_p_ncdm1+n_ncdm]; @@ -6789,19 +7219,20 @@ int perturb_total_stress_energy( ppw->rho_plus_p_theta += rho_plus_p_ncdm*y[idx+1]; ppw->rho_plus_p_shear += rho_plus_p_ncdm*y[idx+2]; ppw->delta_p += cg2_ncdm*rho_ncdm_bg*y[idx]; - rho_plus_p_tot += rho_plus_p_ncdm; + + ppw->rho_plus_p_tot += rho_plus_p_ncdm; idx += ppw->pv->l_max_ncdm[n_ncdm]+1; } } else{ // We must integrate to find perturbations: - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ rho_delta_ncdm = 0.0; rho_plus_p_theta_ncdm = 0.0; rho_plus_p_shear_ncdm = 0.0; delta_p_ncdm = 0.0; - factor = pba->factor_ncdm[n_ncdm]*pow(pba->a_today/a,4); + factor = pba->factor_ncdm[n_ncdm]/pow(a,4); for (index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q ++) { @@ -6835,7 +7266,21 @@ int perturb_total_stress_energy( ppw->rho_plus_p_theta += rho_plus_p_theta_ncdm; ppw->rho_plus_p_shear += rho_plus_p_shear_ncdm; ppw->delta_p += delta_p_ncdm; - rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; + + ppw->rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; + } + } + if (ppt->has_source_delta_m == _TRUE_) { + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + delta_rho_m += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]*ppw->delta_ncdm[n_ncdm]; // contribution to delta rho_matter + rho_m += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; + } + } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + rho_plus_p_theta_m += (ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]) + *ppw->theta_ncdm[n_ncdm]; // contribution to [(rho+p)theta]_matter + rho_plus_p_m += (ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]); } } } @@ -6876,7 +7321,7 @@ int perturb_total_stress_energy( ppw->delta_p += delta_p_scf; - rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_scf]+ppw->pvecback[pba->index_bg_p_scf]; + ppw->rho_plus_p_tot += ppw->pvecback[pba->index_bg_rho_scf]+ppw->pvecback[pba->index_bg_p_scf]; } @@ -6886,122 +7331,114 @@ int perturb_total_stress_energy( if (pba->has_fld == _TRUE_) { class_call(background_w_fld(pba,a,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); + w_prime_fld = dw_over_da_fld * a_prime_over_a * a; if (pba->use_ppf == _FALSE_) { ppw->delta_rho_fld = ppw->pvecback[pba->index_bg_rho_fld]*y[ppw->pv->index_pt_delta_fld]; ppw->rho_plus_p_theta_fld = (1.+w_fld)*ppw->pvecback[pba->index_bg_rho_fld]*y[ppw->pv->index_pt_theta_fld]; + ca2_fld = w_fld - w_prime_fld / 3. / (1.+w_fld) / a_prime_over_a; + /** We must gauge transform the pressure perturbation from the fluid rest-frame to the gauge we are working in */ + ppw->delta_p_fld = pba->cs2_fld * ppw->delta_rho_fld + (pba->cs2_fld-ca2_fld)*(3*a_prime_over_a*ppw->rho_plus_p_theta_fld/k/k); } else { s2sq = ppw->s_l[2]*ppw->s_l[2]; - if (ppt->gauge == synchronous) - alpha = (y[ppw->pv->index_pt_eta]+1.5*a2/k2/s2sq*(ppw->delta_rho+a_prime_over_a/k2*ppw->rho_plus_p_theta)-y[ppw->pv->index_pt_Gamma_fld])/a_prime_over_a; + c_gamma_k_H_square = pow(pba->c_gamma_over_c_fld*k/a_prime_over_a,2)*pba->cs2_fld; + /** The equation is too stiff for Runge-Kutta when c_gamma_k_H_square is large. + Use the asymptotic solution Gamma=Gamma'=0 in that case. + */ + if (c_gamma_k_H_square > ppr->c_gamma_k_H_square_max) + Gamma_fld = 0.; else + Gamma_fld = y[ppw->pv->index_pt_Gamma_fld]; + + if (ppt->gauge == synchronous){ + alpha = (y[ppw->pv->index_pt_eta]+1.5*a2/k2/s2sq*(ppw->delta_rho+3*a_prime_over_a/k2*ppw->rho_plus_p_theta)-Gamma_fld)/a_prime_over_a; + alpha_prime = -2. * a_prime_over_a * alpha + y[ppw->pv->index_pt_eta] - 4.5 * (a2/k2) * ppw->rho_plus_p_shear; + metric_euler = 0.; + } + else{ alpha = 0.; + alpha_prime = 0.; + metric_euler = k2*y[ppw->pv->index_pt_phi] - 4.5*a2*ppw->rho_plus_p_shear; + } ppw->S_fld = ppw->pvecback[pba->index_bg_rho_fld]*(1.+w_fld)*1.5*a2/k2/a_prime_over_a* - (ppw->rho_plus_p_theta/rho_plus_p_tot+k2*alpha); + (ppw->rho_plus_p_theta/ppw->rho_plus_p_tot+k2*alpha); // note that the last terms in the ratio do not include fld, that's correct, it's the whole point of the PPF scheme - c_gamma_k_H_square = pow(pba->c_gamma_over_c_fld*k/a_prime_over_a,2)*pba->cs2_fld; - ppw->Gamma_prime_fld = a_prime_over_a*(ppw->S_fld/(1.+c_gamma_k_H_square) - (1.+c_gamma_k_H_square)*y[ppw->pv->index_pt_Gamma_fld]); - Gamma_prime_plus_a_prime_over_a_Gamma = ppw->Gamma_prime_fld+a_prime_over_a*y[ppw->pv->index_pt_Gamma_fld]; + /** We must now check the stiffness criterion again and set Gamma_prime_fld accordingly. */ + if (c_gamma_k_H_square > ppr->c_gamma_k_H_square_max){ + ppw->Gamma_prime_fld = 0.; + } + else{ + ppw->Gamma_prime_fld = a_prime_over_a*(ppw->S_fld/(1.+c_gamma_k_H_square) - (1.+c_gamma_k_H_square)*Gamma_fld); + } + Gamma_prime_plus_a_prime_over_a_Gamma = ppw->Gamma_prime_fld+a_prime_over_a*Gamma_fld; // delta and theta in both gauges gauge: - ppw->rho_plus_p_theta_fld = ppw->pvecback[pba->index_bg_rho_fld]*(1.+w_fld)*ppw->rho_plus_p_theta/rho_plus_p_tot- - k2*2./3.*a_prime_over_a/a2/(1+4.5*a2/k2/s2sq*rho_plus_p_tot)* + ppw->rho_plus_p_theta_fld = ppw->pvecback[pba->index_bg_rho_fld]*(1.+w_fld)*ppw->rho_plus_p_theta/ppw->rho_plus_p_tot- + k2*2./3.*a_prime_over_a/a2/(1+4.5*a2/k2/s2sq*ppw->rho_plus_p_tot)* (ppw->S_fld-Gamma_prime_plus_a_prime_over_a_Gamma/a_prime_over_a); - ppw->delta_rho_fld = -2./3.*k2*s2sq/a2*y[ppw->pv->index_pt_Gamma_fld]-3*a_prime_over_a/k2*ppw->rho_plus_p_theta_fld; + ppw->delta_rho_fld = -2./3.*k2*s2sq/a2*Gamma_fld-3*a_prime_over_a/k2*ppw->rho_plus_p_theta_fld; + + /** Now construct the pressure perturbation, see 1903.xxxxx. */ + /** Construct energy density and pressure for DE (_fld) and the rest (_t). + Also compute derivatives. */ + rho_fld = ppw->pvecback[pba->index_bg_rho_fld]; + p_fld = w_fld*rho_fld; + rho_fld_prime = -3*a_prime_over_a*(rho_fld+p_fld); + p_fld_prime = w_prime_fld*rho_fld-3*a_prime_over_a*(1+w_fld)*p_fld; + rho_t = ppw->pvecback[pba->index_bg_rho_tot] - rho_fld; + p_t = ppw->pvecback[pba->index_bg_p_tot] - p_fld; + rho_t_prime = -3*a_prime_over_a*(rho_t+p_t); + p_t_prime = ppw->pvecback[pba->index_bg_p_tot_prime]-p_fld_prime; + /** Compute background quantities X,Y,Z and their derivatives. */ + X = c_gamma_k_H_square; + X_prime = -2*X*(a_prime_over_a + ppw->pvecback[pba->index_bg_H_prime]/ppw->pvecback[pba->index_bg_H]); + Y = 4.5*a2/k2/s2sq*(rho_t+p_t); + Y_prime = Y*(2.*a_prime_over_a+(rho_t_prime+p_t_prime)/(rho_t+p_t)); + Z = 2./3.*k2*ppw->pvecback[pba->index_bg_H]/a; + Z_prime = Z*(ppw->pvecback[pba->index_bg_H_prime]/ppw->pvecback[pba->index_bg_H] - a_prime_over_a); + /** Construct theta_t and its derivative from the Euler equation */ + theta_t = ppw->rho_plus_p_theta/ppw->rho_plus_p_tot; + theta_t_prime = -a_prime_over_a*theta_t-(p_t_prime*theta_t-k2*ppw->delta_p +k2*ppw->rho_plus_p_shear)/ppw->rho_plus_p_tot+metric_euler; + S = ppw->S_fld; + S_prime = -Z_prime/Z*S+1./Z*(rho_fld_prime+p_fld_prime)*(theta_t+k2*alpha)+1./Z*(rho_fld+p_fld)*(theta_t_prime+k2*alpha_prime); + /** Analytic derivative of the equation for ppw->rho_plus_p_theta_fld above. */ + rho_plus_p_theta_fld_prime = Z_prime*(S-1./(1.+Y)*(S/(1.+1./X)+Gamma_fld*X)) + + Z*(S_prime + Y_prime/(1.+Y*Y+2*Y)*(S/(1.+1./X)+Gamma_fld*X)- + 1./(1.+Y)*(S_prime/(1.+1./X)+S*X_prime/(1.+X*X+2*X)+ppw->Gamma_prime_fld*X+Gamma_fld*X_prime))- + k2*alpha_prime*(rho_fld+p_fld)-k2*alpha*(rho_fld_prime+p_fld_prime); + + /** We can finally compute the pressure perturbation using the Euler equation for theta_fld */ + ppw->delta_p_fld = (rho_plus_p_theta_fld_prime+4*a_prime_over_a* ppw->rho_plus_p_theta_fld - (rho_fld+p_fld)*metric_euler)/k2; } ppw->delta_rho += ppw->delta_rho_fld; ppw->rho_plus_p_theta += ppw->rho_plus_p_theta_fld; - ppw->delta_p += pba->cs2_fld * ppw->delta_rho_fld; + ppw->delta_p += ppw->delta_p_fld; + + ppw->rho_plus_p_tot += (1.+w_fld)*ppw->pvecback[pba->index_bg_rho_fld]; } - /* don't add species here, add them before the fluid contribution: because of the PPF scheme that one must be the last one! */ + /* don't add more species here, add them before the fluid contribution: because of the PPF scheme, the fluid must be the last one! */ - /* store delta_m in the current gauge. In perturb_einstein, this + /* store delta_m in the current gauge. In perturbations_einstein, this will be transformed later on into the gauge-independent variable D - = delta_m - 2H'/H \theta_m/k^2 . */ - - if (ppt->has_source_delta_m == _TRUE_) { - - /* include baryons and cold dark matter */ - - delta_rho_m = ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_delta_b]; - rho_m = ppw->pvecback[pba->index_bg_rho_b]; - - if (pba->has_cdm == _TRUE_) { - delta_rho_m += ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_delta_cdm]; - rho_m += ppw->pvecback[pba->index_bg_rho_cdm]; - } - - /* include decaying cold dark matter */ - - if (pba->has_dcdm == _TRUE_) { - delta_rho_m += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_delta_dcdm]; - rho_m += ppw->pvecback[pba->index_bg_rho_dcdm]; - } - - /* infer delta_cb */ - if (ppt->has_source_delta_cb) - ppw->delta_cb = delta_rho_m/rho_m; - - /* include any other species non-relativistic today (like ncdm species) */ - - if (pba->has_ncdm == _TRUE_) { - - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ - - delta_rho_m += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]*ppw->delta_ncdm[n_ncdm]; - rho_m += ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; - } - } - - /* infer delta_m */ + = delta_m + 3 a H \theta_m/k^2 . */ + if (ppt->has_source_delta_m == _TRUE_) ppw->delta_m = delta_rho_m/rho_m; - } - - /* store theta_m in the current gauge. In perturb_einstein, this + /* store theta_m in the current gauge. In perturbations_einstein, this will be transformed later on into the gauge-independent variable Theta . Note that computing theta_m is necessary also if we want the delta_m source only, because the gauge-invariant delta_m involves theta_m in the current gauge. */ - if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) { - - /* include baryons and cold dark matter */ - - rho_plus_p_theta_m = ppw->pvecback[pba->index_bg_rho_b]*y[ppw->pv->index_pt_theta_b]; - rho_plus_p_m = ppw->pvecback[pba->index_bg_rho_b]; - - if (pba->has_cdm == _TRUE_) { - if (ppt->gauge == newtonian) - rho_plus_p_theta_m += ppw->pvecback[pba->index_bg_rho_cdm]*y[ppw->pv->index_pt_theta_cdm]; - rho_plus_p_m += ppw->pvecback[pba->index_bg_rho_cdm]; - } - - if (pba->has_dcdm == _TRUE_) { - rho_plus_p_theta_m += ppw->pvecback[pba->index_bg_rho_dcdm]*y[ppw->pv->index_pt_theta_dcdm]; - rho_plus_p_m += ppw->pvecback[pba->index_bg_rho_dcdm]; - } - - if ((ppt->has_source_delta_cb == _TRUE_) || (ppt->has_source_theta_cb == _TRUE_)) - ppw->theta_cb = rho_plus_p_theta_m/rho_plus_p_m; - - /* include any other species non-relativistic today (like ncdm species) */ - - if (pba->has_ncdm == _TRUE_) { - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ - rho_plus_p_theta_m += (ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm])*ppw->theta_ncdm[n_ncdm]; - rho_plus_p_m += (ppw->pvecback[pba->index_bg_rho_ncdm1+n_ncdm]+ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]); - } - } + if ((ppt->has_source_delta_m == _TRUE_) || (ppt->has_source_theta_m == _TRUE_)) + ppw->theta_m = rho_plus_p_theta_m/rho_plus_p_m; - /* infer theta_m */ + /* could include Lambda contribution to rho_tot (not done to match CMBFAST/CAMB definition) */ - ppw->theta_m = rho_plus_p_theta_m/rho_plus_p_m; - } } /** - for vector modes */ @@ -7062,7 +7499,7 @@ int perturb_total_stress_energy( rho_relativistic += ppw->pvecback[pba->index_bg_rho_ur]; if (pba->has_ncdm == _TRUE_) { - for(n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++) { + for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++) { /* (3 p_ncdm1) is the "relativistic" contribution to rho_ncdm1 */ rho_relativistic += 3.*ppw->pvecback[pba->index_bg_p_ncdm1+n_ncdm]; } @@ -7081,11 +7518,11 @@ int perturb_total_stress_energy( idx = ppw->pv->index_pt_psi0_ncdm1; // We must integrate to find perturbations: - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ gwncdm = 0.; - factor = pba->factor_ncdm[n_ncdm]*pow(pba->a_today/a,4); + factor = pba->factor_ncdm[n_ncdm]/pow(a,4); for (index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q ++) { @@ -7131,37 +7568,37 @@ int perturb_total_stress_energy( * @param y Input: vector of perturbations * @param dy Input: vector of time derivative of perturbations * @param index_tau Input: index in the array tau_sampling - * @param parameters_and_workspace Input/Output: in input, all parameters needed by perturb_derivs, in output, source terms + * @param parameters_and_workspace Input/Output: in input, all parameters needed by perturbations_derivs, in output, source terms * @param error_message Output: error message * @return the error status */ -int perturb_sources( - double tau, - double * y, - double * dy, - int index_tau, - void * parameters_and_workspace, - ErrorMsg error_message - ) { +int perturbations_sources( + double tau, + double * y, + double * dy, + int index_tau, + void * parameters_and_workspace, + ErrorMsg error_message + ) { /** Summary: */ /** - define local variables */ double P; - int index_type; + int index_tp; - struct perturb_parameters_and_workspace * pppaw; + struct perturbations_parameters_and_workspace * pppaw; struct precision * ppr; struct background * pba; - struct thermo * pth; - struct perturbs * ppt; + struct thermodynamics * pth; + struct perturbations * ppt; int index_md; int index_ic; int index_k; double k; double z; - struct perturb_workspace * ppw; + struct perturbations_workspace * ppw; double * pvecback; double * pvecthermo; double * pvecmetric; @@ -7172,11 +7609,18 @@ int perturb_sources( double w_fld,dw_over_da_fld,integral_fld; int switch_isw = 1; - double a_rel, a2_rel, f_dr; + double a, a2, f_dr; + + double H_T_Nb_prime=0., rho_tot; + double theta_over_k2,theta_shift; + double theta_b, theta_b_prime; + double dkappa, ddkappa, exp_m_kappa, g, g_prime; + double theta_idm = 0., theta_idm_prime = 0.; + double dmu_idm_g = 0., ddmu_idm_g = 0., exp_mu_idm_g = 0.; /** - rename structure fields (just to avoid heavy notations) */ - pppaw = parameters_and_workspace; + pppaw = (struct perturbations_parameters_and_workspace *)parameters_and_workspace; ppr = pppaw->ppr; pba = pppaw->pba; pth = pppaw->pth; @@ -7195,51 +7639,76 @@ int perturb_sources( class_call(background_at_tau(pba, tau, - pba->normal_info, - pba->inter_closeby, + normal_info, + inter_closeby, &(ppw->last_index_back), pvecback), pba->error_message, error_message); - z = pba->a_today/pvecback[pba->index_bg_a]-1.; + /* redshift (remember that a in the code stands for (a/a_0)) */ + z = 1./pvecback[pba->index_bg_a]-1.; class_call(thermodynamics_at_z(pba, pth, z, /* redshift z=1/a-1 */ - pth->inter_closeby, + inter_closeby, &(ppw->last_index_thermo), pvecback, pvecthermo), pth->error_message, error_message); - a_rel = ppw->pvecback[pba->index_bg_a]/pba->a_today; - a2_rel = a_rel * a_rel; + a = ppw->pvecback[pba->index_bg_a]; + a2 = a * a; + + a_prime_over_a = pvecback[pba->index_bg_a] * pvecback[pba->index_bg_H]; /* (a'/a)=aH */ + a_prime_over_a_prime = pvecback[pba->index_bg_H_prime] * pvecback[pba->index_bg_a] + pow(pvecback[pba->index_bg_H] * pvecback[pba->index_bg_a],2); /* (a'/a)' = aH'+(aH)^2 */ - /* derived background quantities, useful only in synchronous gauge */ - if (ppt->gauge == synchronous) { - a_prime_over_a = pvecback[pba->index_bg_a] * pvecback[pba->index_bg_H]; /* (a'/a)=aH */ - a_prime_over_a_prime = pvecback[pba->index_bg_H_prime] * pvecback[pba->index_bg_a] + pow(pvecback[pba->index_bg_H] * pvecback[pba->index_bg_a],2); /* (a'/a)' = aH'+(aH)^2 */ + dkappa = pvecthermo[pth->index_th_dkappa]; + ddkappa = pvecthermo[pth->index_th_ddkappa]; + exp_m_kappa = pvecthermo[pth->index_th_exp_m_kappa]; + g = pvecthermo[pth->index_th_g]; + g_prime = pvecthermo[pth->index_th_dg]; + + if (pba->has_idm == _TRUE_) { + theta_idm= y[ppw->pv->index_pt_theta_idm]; + theta_idm_prime = dy[ppw->pv->index_pt_theta_idm]; + } + if (pth->has_idm_g == _TRUE_) { + dmu_idm_g = pvecthermo[pth->index_th_dmu_idm_g]; + ddmu_idm_g = pvecthermo[pth->index_th_ddmu_idm_g]; + exp_mu_idm_g = pvecthermo[pth->index_th_exp_mu_idm_g]; } /** - for scalars */ if (_scalars_) { + theta_b = y[ppw->pv->index_pt_theta_b]; + theta_b_prime = dy[ppw->pv->index_pt_theta_b]; + /** - --> compute metric perturbations */ - class_call(perturb_einstein(ppr, - pba, - pth, - ppt, - index_md, - k, - tau, - y, - ppw), + class_call(perturbations_einstein(ppr, + pba, + pth, + ppt, + index_md, + k, + tau, + y, + ppw), ppt->error_message, error_message); + if ((ppt->gauge == synchronous) && (ppt->get_h_from_trace == _TRUE_) && (ppr->tol_einstein00_reldev>0)) { // not only _smg + double check_einstein00 = pvecmetric[ppw->index_mt_einstein00]/2./k/k*pow(a,2)/y[ppw->pv->index_pt_eta]; + class_test( + fabs(check_einstein00)>ppr->tol_einstein00_reldev, + ppt->error_message, + "The Einstein 00 equation is not satisfied at a=%e and k=%e. Try to set get_h_from_trace==FALSE to get a consistent evolution. Otherwise you can increase tol_einstein00_reldev if you can tolerate larger deviations to this equation.", a, k); + } + /** - --> compute quantities depending on approximation schemes */ if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { @@ -7283,16 +7752,28 @@ int perturb_sources( /* newtonian gauge: slightly more complicated form, but more efficient numerically */ if (ppt->gauge == newtonian) { - _set_source_(ppt->index_tp_t0) = - ppt->switch_sw * pvecthermo[pth->index_th_g] * (delta_g / 4. + pvecmetric[ppw->index_mt_psi]) - + switch_isw * (pvecthermo[pth->index_th_g] * (y[ppw->pv->index_pt_phi]-pvecmetric[ppw->index_mt_psi]) - + pvecthermo[pth->index_th_exp_m_kappa] * 2. * pvecmetric[ppw->index_mt_phi_prime]) - + ppt->switch_dop /k/k * (pvecthermo[pth->index_th_g] * dy[ppw->pv->index_pt_theta_b] - + pvecthermo[pth->index_th_dg] * y[ppw->pv->index_pt_theta_b]); + if (pth->has_idm_g == _TRUE_ ){ + _set_source_(ppt->index_tp_t0) = + ppt->switch_sw * g * (delta_g / 4. + pvecmetric[ppw->index_mt_psi]) + + switch_isw * ( g * (y[ppw->pv->index_pt_phi]-pvecmetric[ppw->index_mt_psi]) + + exp_m_kappa * exp_mu_idm_g * 2. * pvecmetric[ppw->index_mt_phi_prime]) + + ppt->switch_dop /k/k * ( g *(dkappa * theta_b + dmu_idm_g*theta_idm) + + exp_mu_idm_g * exp_m_kappa * (ddkappa*theta_b + ddmu_idm_g* theta_idm + dkappa * theta_b_prime + dmu_idm_g * theta_idm_prime) ); + + _set_source_(ppt->index_tp_t1) = switch_isw * exp_m_kappa * exp_mu_idm_g * k* (pvecmetric[ppw->index_mt_psi]-y[ppw->pv->index_pt_phi]); + + } + else { + _set_source_(ppt->index_tp_t0) = + ppt->switch_sw * g * (delta_g / 4. + pvecmetric[ppw->index_mt_psi]) + + switch_isw * ( g * (y[ppw->pv->index_pt_phi]-pvecmetric[ppw->index_mt_psi]) + + exp_m_kappa * 2. * pvecmetric[ppw->index_mt_phi_prime]) + + ppt->switch_dop /k/k * ( g * theta_b_prime + g_prime * theta_b); - _set_source_(ppt->index_tp_t1) = switch_isw * pvecthermo[pth->index_th_exp_m_kappa] * k* (pvecmetric[ppw->index_mt_psi]-y[ppw->pv->index_pt_phi]); + _set_source_(ppt->index_tp_t1) = switch_isw * exp_m_kappa * k* (pvecmetric[ppw->index_mt_psi]-y[ppw->pv->index_pt_phi]); + } - _set_source_(ppt->index_tp_t2) = ppt->switch_pol * pvecthermo[pth->index_th_g] * P; + _set_source_(ppt->index_tp_t2) = ppt->switch_pol * g * P; } @@ -7309,25 +7790,54 @@ int perturb_sources( if (ppt->gauge == synchronous) { - _set_source_(ppt->index_tp_t0) = - ppt->switch_sw * pvecthermo[pth->index_th_g] * (delta_g/4. + pvecmetric[ppw->index_mt_alpha_prime]) - + switch_isw * (pvecthermo[pth->index_th_g] * (y[ppw->pv->index_pt_eta] - - pvecmetric[ppw->index_mt_alpha_prime] - - 2 * a_prime_over_a * pvecmetric[ppw->index_mt_alpha]) - + pvecthermo[pth->index_th_exp_m_kappa] * 2. * (pvecmetric[ppw->index_mt_eta_prime] - - a_prime_over_a_prime * pvecmetric[ppw->index_mt_alpha] - - a_prime_over_a * pvecmetric[ppw->index_mt_alpha_prime])) - + ppt->switch_dop * (pvecthermo[pth->index_th_g] * (dy[ppw->pv->index_pt_theta_b]/k/k + pvecmetric[ppw->index_mt_alpha_prime]) - +pvecthermo[pth->index_th_dg] * (y[ppw->pv->index_pt_theta_b]/k/k + pvecmetric[ppw->index_mt_alpha])); - - _set_source_(ppt->index_tp_t1) = - switch_isw * pvecthermo[pth->index_th_exp_m_kappa] * k * (pvecmetric[ppw->index_mt_alpha_prime] - + 2. * a_prime_over_a * pvecmetric[ppw->index_mt_alpha] - - y[ppw->pv->index_pt_eta]); + theta_b += pvecmetric[ppw->index_mt_alpha] *k*k; // absorb alpha in here to make the formulas readable + theta_b_prime += pvecmetric[ppw->index_mt_alpha_prime] *k*k; + + if (pth->has_idm_g == _TRUE_) { + theta_idm += pvecmetric[ppw->index_mt_alpha] *k*k; + theta_idm_prime += pvecmetric[ppw->index_mt_alpha_prime] *k*k; + + _set_source_(ppt->index_tp_t0) = + ppt->switch_sw * g * (delta_g/4. + pvecmetric[ppw->index_mt_alpha_prime]) + + switch_isw * ( g * (y[ppw->pv->index_pt_eta] + - pvecmetric[ppw->index_mt_alpha_prime] + - 2 * a_prime_over_a * pvecmetric[ppw->index_mt_alpha]) + + exp_m_kappa * exp_mu_idm_g * 2. * (pvecmetric[ppw->index_mt_eta_prime] + - a_prime_over_a_prime * pvecmetric[ppw->index_mt_alpha] + - a_prime_over_a * pvecmetric[ppw->index_mt_alpha_prime])) + + ppt->switch_dop /k/k * ( g * ( dkappa * theta_b + dmu_idm_g * theta_idm) + + exp_mu_idm_g * exp_m_kappa + * ( ddkappa * theta_b + ddmu_idm_g * theta_idm + + dkappa * theta_b_prime + dmu_idm_g * theta_idm_prime) ); + + _set_source_(ppt->index_tp_t1) = + switch_isw * exp_m_kappa * exp_mu_idm_g * k * (pvecmetric[ppw->index_mt_alpha_prime] + + 2. * a_prime_over_a * pvecmetric[ppw->index_mt_alpha] + - y[ppw->pv->index_pt_eta]); + + } + else { + _set_source_(ppt->index_tp_t0) = + ppt->switch_sw * g * (delta_g/4. + pvecmetric[ppw->index_mt_alpha_prime]) + + switch_isw * ( g * (y[ppw->pv->index_pt_eta] + - pvecmetric[ppw->index_mt_alpha_prime] + - 2 * a_prime_over_a * pvecmetric[ppw->index_mt_alpha]) + + exp_m_kappa * 2. * (pvecmetric[ppw->index_mt_eta_prime] + - a_prime_over_a_prime * pvecmetric[ppw->index_mt_alpha] + - a_prime_over_a * pvecmetric[ppw->index_mt_alpha_prime])) + + ppt->switch_dop /k/k * ( g * theta_b_prime + g_prime * theta_b ); + + + _set_source_(ppt->index_tp_t1) = + switch_isw * exp_m_kappa * k * (pvecmetric[ppw->index_mt_alpha_prime] + + 2. * a_prime_over_a * pvecmetric[ppw->index_mt_alpha] + - y[ppw->pv->index_pt_eta]); + } _set_source_(ppt->index_tp_t2) = - ppt->switch_pol * pvecthermo[pth->index_th_g] * P; + ppt->switch_pol * g * P; } + } /* scalar polarization */ @@ -7338,12 +7848,40 @@ int perturb_sources( plus sign to comply with the 'historical convention' established in CMBFAST and CAMB. */ - _set_source_(ppt->index_tp_p) = sqrt(6.) * pvecthermo[pth->index_th_g] * P; + _set_source_(ppt->index_tp_p) = sqrt(6.) * g * P; } /* now, non-CMB sources */ + if ((ppt->has_Nbody_gauge_transfers == _TRUE_) || (ppt->has_source_H_T_Nb_prime == _TRUE_) || (ppt->has_source_k2gamma_Nb == _TRUE_)) { + + /* H_T_prime in N-body gauge. (H_T=3zeta where zeta is the comoving curvature perturbation.). + See equation A.5 in 1811.00904.*/ + H_T_Nb_prime = 3*a_prime_over_a/ppw->rho_plus_p_tot*(-ppw->delta_p+ + pvecback[pba->index_bg_p_tot_prime]*ppw->rho_plus_p_theta/ppw->rho_plus_p_tot/k/k+ + ppw->rho_plus_p_shear); + if (ppt->has_source_H_T_Nb_prime == _TRUE_) { + _set_source_(ppt->index_tp_H_T_Nb_prime) = H_T_Nb_prime; + } + + /** gamma in N-body gauge. Eq. A.2 in 1811.00904 gives k2gamma = + (a'/a)H_T' + k2(phi-psi) - H_T''. The last term is cubersome + to calculate (one would need finite derivatives) but usually + small. Here we only compute an approximate k2gamma without + this last term. If needed, the term could be restored: you + can see how T. Tram did it in a previous commit + beec79548877e1e43403d1f4de5ddee6741a3c16 (28.02.2019) - then + it had to go to harmonic.c, now it could stay in this + module. Later this feature was removed for simplicity. Note + that to compute the transfer functions in the N-body gauge + we do not need k2gamma anyway. */ + + if (ppt->has_source_k2gamma_Nb == _TRUE_){ + _set_source_(ppt->index_tp_k2gamma_Nb) = -a_prime_over_a*H_T_Nb_prime+9./2.*a2*ppw->rho_plus_p_shear; + } + } + /* Bardeen potential -PHI_H = phi in Newtonian gauge */ if (ppt->has_source_phi == _TRUE_) { @@ -7410,7 +7948,7 @@ int perturb_sources( } - /* total matter over density (gauge-invariant, defined as in arXiv:1307.1459) */ + /* total matter overdensity (gauge-invariant, defined as in arXiv:1307.1459) */ if (ppt->has_source_delta_m == _TRUE_) { _set_source_(ppt->index_tp_delta_m) = ppw->delta_m; } @@ -7420,74 +7958,134 @@ int perturb_sources( _set_source_(ppt->index_tp_delta_cb) = ppw->delta_cb; } + /* compute the corrections that have to be applied to each (delta_i, theta_i) in N-body gauge */ + if (ppt->has_Nbody_gauge_transfers == _TRUE_){ + theta_over_k2 = ppw->rho_plus_p_theta/ppw->rho_plus_p_tot/k/k; + theta_shift = H_T_Nb_prime; + if (ppt->gauge == synchronous) theta_shift += pvecmetric[ppw->index_mt_alpha]*k*k; + } + else{ + theta_over_k2 = 0.; + theta_shift = 0.; + } + + /* delta_tot */ + if (ppt->has_source_delta_tot == _TRUE_) { + + /** We follow the (debatable) CMBFAST/CAMB convention of not including rho_lambda in rho_tot */ + if (pba->has_lambda == _TRUE_){ + rho_tot = pvecback[pba->index_bg_rho_tot] - pvecback[pba->index_bg_rho_lambda]; + } + else{ + rho_tot = pvecback[pba->index_bg_rho_tot]; + } + + _set_source_(ppt->index_tp_delta_tot) = ppw->delta_rho/rho_tot + + 3*a_prime_over_a*(1+pvecback[pba->index_bg_p_tot]/pvecback[pba->index_bg_rho_tot])*theta_over_k2; + } + /* delta_g */ if (ppt->has_source_delta_g == _TRUE_) { - _set_source_(ppt->index_tp_delta_g) = delta_g; + _set_source_(ppt->index_tp_delta_g) = delta_g + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction } /* delta_baryon */ if (ppt->has_source_delta_b == _TRUE_) { - _set_source_(ppt->index_tp_delta_b) = y[ppw->pv->index_pt_delta_b]; + _set_source_(ppt->index_tp_delta_b) = y[ppw->pv->index_pt_delta_b] + + 3.*a_prime_over_a*theta_over_k2; // N-body gauge correction } /* delta_cdm */ if (ppt->has_source_delta_cdm == _TRUE_) { - _set_source_(ppt->index_tp_delta_cdm) = y[ppw->pv->index_pt_delta_cdm]; + _set_source_(ppt->index_tp_delta_cdm) = y[ppw->pv->index_pt_delta_cdm] + + 3.*a_prime_over_a*theta_over_k2; // N-body gauge correction + } + + /* delta_idm */ + if (ppt->has_source_delta_idm == _TRUE_) { + _set_source_(ppt->index_tp_delta_idm) = y[ppw->pv->index_pt_delta_idm] + + 3.*a_prime_over_a*theta_over_k2; // N-body gauge correction } /* delta_dcdm */ if (ppt->has_source_delta_dcdm == _TRUE_) { - _set_source_(ppt->index_tp_delta_dcdm) = y[ppw->pv->index_pt_delta_dcdm]; + _set_source_(ppt->index_tp_delta_dcdm) = y[ppw->pv->index_pt_delta_dcdm] + + (3.*a_prime_over_a+a*pba->Gamma_dcdm)*theta_over_k2; // N-body gauge correction; } /* delta_fld */ if (ppt->has_source_delta_fld == _TRUE_) { - _set_source_(ppt->index_tp_delta_fld) = ppw->delta_rho_fld/pvecback[pba->index_bg_rho_fld]; + _set_source_(ppt->index_tp_delta_fld) = ppw->delta_rho_fld/pvecback[pba->index_bg_rho_fld] + + 3.*a_prime_over_a*(1.+pvecback[pba->index_bg_w_fld])*theta_over_k2; // N-body gauge correction } /* delta_scf */ if (ppt->has_source_delta_scf == _TRUE_) { if (ppt->gauge == synchronous){ delta_rho_scf = 1./3.* - (1./a2_rel*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_prime_scf] - + ppw->pvecback[pba->index_bg_dV_scf]*y[ppw->pv->index_pt_phi_scf]); + (1./a2*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_prime_scf] + + ppw->pvecback[pba->index_bg_dV_scf]*y[ppw->pv->index_pt_phi_scf]) + + 3.*a_prime_over_a*(1.+pvecback[pba->index_bg_p_scf]/pvecback[pba->index_bg_rho_scf])*theta_over_k2; // N-body gauge correction } else{ delta_rho_scf = 1./3.* - (1./a2_rel*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_prime_scf] + (1./a2*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_prime_scf] + ppw->pvecback[pba->index_bg_dV_scf]*y[ppw->pv->index_pt_phi_scf] - - 1./a2_rel*pow(ppw->pvecback[pba->index_bg_phi_prime_scf],2)*ppw->pvecmetric[ppw->index_mt_psi]); + - 1./a2*pow(ppw->pvecback[pba->index_bg_phi_prime_scf],2)*ppw->pvecmetric[ppw->index_mt_psi]) + + 3.*a_prime_over_a*(1.+pvecback[pba->index_bg_p_scf]/pvecback[pba->index_bg_rho_scf])*theta_over_k2; // N-body gauge correction } _set_source_(ppt->index_tp_delta_scf) = delta_rho_scf/pvecback[pba->index_bg_rho_scf]; } - /* phi_smg TODO: either change the name of the source or write delta_phi_dot */ - if (ppt->has_source_phi_smg == _TRUE_) { - _set_source_(ppt->index_tp_phi_smg) = pvecmetric[ppw->index_mt_vx_smg]; + /* x_smg */ + if(ppt->has_source_x_smg == _TRUE_) { + _set_source_(ppt->index_tp_x_smg) = pvecmetric[ppw->index_mt_x_smg]; } /* delta_dr */ if (ppt->has_source_delta_dr == _TRUE_) { - f_dr = pow(a2_rel/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; - _set_source_(ppt->index_tp_delta_dr) = y[ppw->pv->index_pt_F0_dr]/f_dr; + f_dr = pow(a2/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; + _set_source_(ppt->index_tp_delta_dr) = y[ppw->pv->index_pt_F0_dr]/f_dr + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction } /* delta_ur */ if (ppt->has_source_delta_ur == _TRUE_) { if (ppw->approx[ppw->index_ap_rsa]==(int)rsa_off) - _set_source_(ppt->index_tp_delta_ur) = y[ppw->pv->index_pt_delta_ur]; + _set_source_(ppt->index_tp_delta_ur) = y[ppw->pv->index_pt_delta_ur] + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction + else + _set_source_(ppt->index_tp_delta_ur) = ppw->rsa_delta_ur + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction + } + + /* delta_idr */ + if (ppt->has_source_delta_idr == _TRUE_) { + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off) + _set_source_(ppt->index_tp_delta_idr) = y[ppw->pv->index_pt_delta_idr] + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction else - _set_source_(ppt->index_tp_delta_ur) = ppw->rsa_delta_ur; + _set_source_(ppt->index_tp_delta_idr) = ppw->rsa_delta_idr + + 4.*a_prime_over_a*theta_over_k2; // N-body gauge correction } /* delta_ncdm1 */ if (ppt->has_source_delta_ncdm == _TRUE_) { - for (index_type = ppt->index_tp_delta_ncdm1; index_type < ppt->index_tp_delta_ncdm1+pba->N_ncdm; index_type++) { - _set_source_(index_type) = ppw->delta_ncdm[index_type - ppt->index_tp_delta_ncdm1]; + for (index_tp = ppt->index_tp_delta_ncdm1; index_tp < ppt->index_tp_delta_ncdm1+pba->N_ncdm; index_tp++) { + _set_source_(index_tp) = ppw->delta_ncdm[index_tp - ppt->index_tp_delta_ncdm1] + + 3.*a_prime_over_a*(1+pvecback[index_tp - ppt->index_tp_delta_ncdm1 + pba->index_bg_p_ncdm1] + /pvecback[index_tp - ppt->index_tp_delta_ncdm1 + pba->index_bg_rho_ncdm1])*theta_over_k2; // N-body gauge correction } } - /* total velocity (gauge-invariant, defined as in arXiv:1307.1459) */ + /* total velocity */ + if (ppt->has_source_theta_tot == _TRUE_) { + _set_source_(ppt->index_tp_theta_tot) = ppw->rho_plus_p_theta/(pvecback[pba->index_bg_rho_tot]+pvecback[pba->index_bg_p_tot]) + + theta_shift; // N-body gauge correction + } + + /* total matter velocity (gauge-invariant, defined as in arXiv:1307.1459) */ if (ppt->has_source_theta_m == _TRUE_) { _set_source_(ppt->index_tp_theta_m) = ppw->theta_m; } @@ -7497,63 +8095,104 @@ int perturb_sources( _set_source_(ppt->index_tp_theta_cb) = ppw->theta_cb; } + /* total velocity */ + if (ppt->has_source_theta_tot == _TRUE_) { + _set_source_(ppt->index_tp_theta_tot) = ppw->rho_plus_p_theta/ppw->rho_plus_p_tot + + theta_shift; // N-body gauge correction + } + /* theta_g */ if (ppt->has_source_theta_g == _TRUE_) { if (ppw->approx[ppw->index_ap_rsa]==(int)rsa_off) - _set_source_(ppt->index_tp_theta_g) = y[ppw->pv->index_pt_theta_g]; + _set_source_(ppt->index_tp_theta_g) = y[ppw->pv->index_pt_theta_g] + + theta_shift; // N-body gauge correction else - _set_source_(ppt->index_tp_theta_g) = ppw->rsa_theta_g; + _set_source_(ppt->index_tp_theta_g) = ppw->rsa_theta_g + + theta_shift; // N-body gauge correction } /* theta_baryon */ if (ppt->has_source_theta_b == _TRUE_) { - _set_source_(ppt->index_tp_theta_b) = y[ppw->pv->index_pt_theta_b]; + _set_source_(ppt->index_tp_theta_b) = y[ppw->pv->index_pt_theta_b] + + theta_shift; // N-body gauge correction } /* theta_cdm */ if (ppt->has_source_theta_cdm == _TRUE_) { - _set_source_(ppt->index_tp_theta_cdm) = y[ppw->pv->index_pt_theta_cdm]; + _set_source_(ppt->index_tp_theta_cdm) = y[ppw->pv->index_pt_theta_cdm] + + theta_shift; // N-body gauge correction + } + + /* theta_idm */ + if (ppt->has_source_theta_idm == _TRUE_) { + _set_source_(ppt->index_tp_theta_idm) = y[ppw->pv->index_pt_theta_idm] + + theta_shift; // N-body gauge correction } /* theta_dcdm */ if (ppt->has_source_theta_dcdm == _TRUE_) { - _set_source_(ppt->index_tp_theta_dcdm) = y[ppw->pv->index_pt_theta_dcdm]; + _set_source_(ppt->index_tp_theta_dcdm) = y[ppw->pv->index_pt_theta_dcdm] + + theta_shift; // N-body gauge correction } /* theta_fld */ if (ppt->has_source_theta_fld == _TRUE_) { - class_call(background_w_fld(pba,a_rel*pba->a_today,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); + class_call(background_w_fld(pba,a,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, ppt->error_message); - _set_source_(ppt->index_tp_theta_fld) = ppw->rho_plus_p_theta_fld/(1.+w_fld)/pvecback[pba->index_bg_rho_fld]; + _set_source_(ppt->index_tp_theta_fld) = ppw->rho_plus_p_theta_fld/(1.+w_fld)/pvecback[pba->index_bg_rho_fld] + + theta_shift; // N-body gauge correction } /* theta_scf */ if (ppt->has_source_theta_scf == _TRUE_) { + rho_plus_p_theta_scf = 1./3.* - k*k/a2_rel*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_scf]; - _set_source_(ppt->index_tp_theta_scf) = rho_plus_p_theta_scf/ - (pvecback[pba->index_bg_rho_scf]+pvecback[pba->index_bg_p_scf]); + k*k/a2*ppw->pvecback[pba->index_bg_phi_prime_scf]*y[ppw->pv->index_pt_phi_scf]; + + _set_source_(ppt->index_tp_theta_scf) = rho_plus_p_theta_scf/(pvecback[pba->index_bg_rho_scf]+pvecback[pba->index_bg_p_scf]) + + theta_shift; // N-body gauge correction + } + + /* x_prime_smg */ + if(ppt->has_source_x_prime_smg == _TRUE_) { + _set_source_(ppt->index_tp_x_prime_smg) = pvecmetric[ppw->index_mt_x_prime_smg]; } /* theta_dr */ if (ppt->has_source_theta_dr == _TRUE_) { - f_dr = pow(a2_rel/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; - _set_source_(ppt->index_tp_theta_dr) = 3./4.*k*y[ppw->pv->index_pt_F0_dr+1]/f_dr; + + f_dr = pow(a2/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; + + _set_source_(ppt->index_tp_theta_dr) = 3./4.*k*y[ppw->pv->index_pt_F0_dr+1]/f_dr + + theta_shift; // N-body gauge correction } /* theta_ur */ if (ppt->has_source_theta_ur == _TRUE_) { if (ppw->approx[ppw->index_ap_rsa]==(int)rsa_off) - _set_source_(ppt->index_tp_theta_ur) = y[ppw->pv->index_pt_theta_ur]; + _set_source_(ppt->index_tp_theta_ur) = y[ppw->pv->index_pt_theta_ur] + + theta_shift; // N-body gauge correction + else + _set_source_(ppt->index_tp_theta_ur) = ppw->rsa_theta_ur + + theta_shift; // N-body gauge correction + } + + /* theta_idr */ + if (ppt->has_source_theta_idr == _TRUE_) { + if (ppw->approx[ppw->index_ap_rsa_idr]==(int)rsa_idr_off) + _set_source_(ppt->index_tp_theta_idr) = y[ppw->pv->index_pt_theta_idr] + + theta_shift; // N-body gauge correction else - _set_source_(ppt->index_tp_theta_ur) = ppw->rsa_theta_ur; + _set_source_(ppt->index_tp_theta_idr) = ppw->rsa_theta_idr + + theta_shift; // N-body gauge correction } /* theta_ncdm1 */ if (ppt->has_source_theta_ncdm == _TRUE_) { - for (index_type = ppt->index_tp_theta_ncdm1; index_type < ppt->index_tp_theta_ncdm1+pba->N_ncdm; index_type++) { - _set_source_(index_type) = ppw->theta_ncdm[index_type - ppt->index_tp_theta_ncdm1]; + for (index_tp = ppt->index_tp_theta_ncdm1; index_tp < ppt->index_tp_theta_ncdm1+pba->N_ncdm; index_tp++) { + _set_source_(index_tp) = ppw->theta_ncdm[index_tp - ppt->index_tp_theta_ncdm1] + + theta_shift; // N-body gauge correction } } } @@ -7622,38 +8261,42 @@ int perturb_sources( * */ -int perturb_print_variables(double tau, - double * y, - double * dy, - void * parameters_and_workspace, - ErrorMsg error_message - ) { +int perturbations_print_variables(double tau, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ) { - struct perturb_parameters_and_workspace * pppaw; + struct perturbations_parameters_and_workspace * pppaw; /** Summary: */ /** - define local variables */ double k; int index_md; + struct precision * ppr; struct background * pba; - struct thermo * pth; - struct perturbs * ppt; - struct perturb_workspace * ppw; + struct thermodynamics * pth; + struct perturbations * ppt; + struct perturbations_workspace * ppw; double * pvecback; double * pvecthermo; double * pvecmetric; + double h_prime=0., eta=0.; + double h_prime_prime=0., eta_prime=0.; + double alpha_mt_prime=0., alpha_mt=0.; double delta_g,theta_g,shear_g,l4_g,pol0_g,pol1_g,pol2_g,pol4_g; double delta_b,theta_b; double delta_cdm=0.,theta_cdm=0.; + double delta_idm=0., theta_idm=0.; double delta_dcdm=0.,theta_dcdm=0.; double delta_dr=0.,theta_dr=0.,shear_dr=0., f_dr=1.0; double delta_ur=0.,theta_ur=0.,shear_ur=0.,l4_ur=0.; + double delta_idr=0., theta_idr=0., shear_idr=0.; double delta_rho_scf=0., rho_plus_p_theta_scf=0.; double delta_scf=0., theta_scf=0.; - double V_x_smg=0., V_x_prime_smg=0.; - double h_prime_smg=0., eta_smg=0.; /** - ncdm sector begins */ int n_ncdm; double *delta_ncdm=NULL, *theta_ncdm=NULL, *shear_ncdm=NULL, *delta_p_over_delta_rho_ncdm=NULL; @@ -7675,9 +8318,10 @@ int perturb_print_variables(double tau, /** - rename structure fields (just to avoid heavy notations) */ - pppaw = parameters_and_workspace; + pppaw = (struct perturbations_parameters_and_workspace *)parameters_and_workspace; k = pppaw->k; index_md = pppaw->index_md; + ppr = pppaw->ppr; pba = pppaw->pba; pth = pppaw->pth; @@ -7691,8 +8335,8 @@ int perturb_print_variables(double tau, class_call(background_at_tau(pba, tau, - pba->normal_info, - pba->inter_closeby, + normal_info, + inter_closeby, &(ppw->last_index_back), pvecback), pba->error_message, @@ -7701,7 +8345,7 @@ int perturb_print_variables(double tau, class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., - pth->inter_closeby, + inter_closeby, &(ppw->last_index_thermo), pvecback, pvecthermo), @@ -7710,15 +8354,15 @@ int perturb_print_variables(double tau, /** - update metric perturbations in this point */ - class_call(perturb_einstein(ppr, - pba, - pth, - ppt, - index_md, - k, - tau, - y, - ppw), + class_call(perturbations_einstein(ppr, + pba, + pth, + ppt, + index_md, + k, + tau, + y, + ppw), ppt->error_message, error_message); @@ -7794,6 +8438,29 @@ int perturb_print_variables(double tau, delta_b = y[ppw->pv->index_pt_delta_b]; theta_b = y[ppw->pv->index_pt_theta_b]; + /* interacting dark radiation */ + if (pba->has_idr == _TRUE_) { + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off) { + delta_idr = y[ppw->pv->index_pt_delta_idr]; + theta_idr = y[ppw->pv->index_pt_theta_idr]; + + if (ppt->idr_nature == idr_free_streaming){ + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_on){ + shear_idr = ppw->tca_shear_idm_dr; + } + else{ + shear_idr = y[ppw->pv->index_pt_shear_idr]; + } + } + } + else{ + delta_idr = ppw->rsa_delta_idr; + theta_idr = ppw->rsa_theta_idr; + shear_idr = 0.; + } + } + + if (pba->has_cdm == _TRUE_) { delta_cdm = y[ppw->pv->index_pt_delta_cdm]; @@ -7805,6 +8472,11 @@ int perturb_print_variables(double tau, } } + if (pba->has_idm == _TRUE_) { + delta_idm = y[ppw->pv->index_pt_delta_idm]; + theta_idm = y[ppw->pv->index_pt_theta_idm]; + } + /* gravitational potentials */ if (ppt->gauge == synchronous) { @@ -7825,9 +8497,9 @@ int perturb_print_variables(double tau, if (pba->has_ncdm == _TRUE_) { /** - --> Get delta, deltaP/rho, theta, shear and store in array */ idx = ppw->pv->index_pt_psi0_ncdm1; - if(ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on){ + if (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on){ // The perturbations are evolved integrated: - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ rho_ncdm_bg = pvecback[pba->index_bg_rho_ncdm1+n_ncdm]; p_ncdm_bg = pvecback[pba->index_bg_p_ncdm1+n_ncdm]; pseudo_p_ncdm = pvecback[pba->index_bg_pseudo_p_ncdm1+n_ncdm]; @@ -7843,12 +8515,12 @@ int perturb_print_variables(double tau, } else{ // We must integrate to find perturbations: - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ rho_delta_ncdm = 0.0; rho_plus_p_theta_ncdm = 0.0; rho_plus_p_shear_ncdm = 0.0; delta_p_ncdm = 0.0; - factor = pba->factor_ncdm[n_ncdm]*pow(pba->a_today/a,4); + factor = pba->factor_ncdm[n_ncdm]/pow(a,4); for (index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q ++) { @@ -7888,6 +8560,7 @@ int perturb_print_variables(double tau, } + if (pba->has_dr == _TRUE_) { f_dr = pow(pvecback[pba->index_bg_a]*pvecback[pba->index_bg_a]/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; delta_dr = y[ppw->pv->index_pt_F0_dr]/f_dr; @@ -7916,17 +8589,17 @@ int perturb_print_variables(double tau, } - if (pba->has_smg == _TRUE_){ - - V_x_smg = ppw->pvecmetric[ppw->index_mt_vx_smg]; - V_x_prime_smg = ppw->pvecmetric[ppw->index_mt_vx_prime_smg]; - h_prime_smg = ppw->pvecmetric[ppw->index_mt_h_prime]; - eta_smg = y[ppw->pv->index_pt_eta]; - } - /* converting synchronous variables to newtonian ones */ if (ppt->gauge == synchronous) { + /* metric perturbations (not only _smg) */ + h_prime = ppw->pvecmetric[ppw->index_mt_h_prime]; + h_prime_prime = ppw->pvecmetric[ppw->index_mt_h_prime_prime]; + eta = y[ppw->pv->index_pt_eta]; + eta_prime = ppw->pvecmetric[ppw->index_mt_eta_prime]; + alpha_mt = ppw->pvecmetric[ppw->index_mt_alpha]; + alpha_mt_prime = ppw->pvecmetric[ppw->index_mt_alpha_prime]; + /* density and velocity perturbations (comment out if you wish to keep synchronous variables) */ delta_g -= 4. * pvecback[pba->index_bg_H]*pvecback[pba->index_bg_a]*alpha; @@ -7940,6 +8613,11 @@ int perturb_print_variables(double tau, theta_ur += k*k*alpha; } + if (pba->has_idr == _TRUE_) { + delta_idr -= 4. * pvecback[pba->index_bg_H]*pvecback[pba->index_bg_a]*alpha; + theta_idr += k*k*alpha; + } + if (pba->has_dr == _TRUE_) { delta_dr += (-4.*a*H+a*pba->Gamma_dcdm*pvecback[pba->index_bg_rho_dcdm]/pvecback[pba->index_bg_rho_dr])*alpha; @@ -7951,9 +8629,14 @@ int perturb_print_variables(double tau, theta_cdm += k*k*alpha; } + if (pba->has_idm == _TRUE_) { + delta_idm -= 3. * pvecback[pba->index_bg_H]*pvecback[pba->index_bg_a]*alpha; + theta_idm += k*k*alpha; + } + if (pba->has_ncdm == _TRUE_) { - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ - /** - --> Do gauge transformation of delta, deltaP/rho (?) and theta using -= 3aH(1+w_ncdm) alpha for delta. */ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + /** - --> TODO: gauge transformation of delta, deltaP/rho (?) and theta using -= 3aH(1+w_ncdm) alpha for delta. */ } } @@ -7969,7 +8652,7 @@ int perturb_print_variables(double tau, } - // fprintf(ppw->perturb_output_file," "); + // fprintf(ppw->perturbations_output_file," "); /** - --> Handle (re-)allocation */ if (ppt->scalar_perturbations_data[ppw->index_ikout] == NULL){ class_alloc(ppt->scalar_perturbations_data[ppw->index_ikout], @@ -7978,9 +8661,9 @@ int perturb_print_variables(double tau, ppt->size_scalar_perturbation_data[ppw->index_ikout] = 0; } else{ - ppt->scalar_perturbations_data[ppw->index_ikout] = - realloc(ppt->scalar_perturbations_data[ppw->index_ikout], - sizeof(double)*(ppt->size_scalar_perturbation_data[ppw->index_ikout]+ppt->number_of_scalar_titles)); + class_realloc(ppt->scalar_perturbations_data[ppw->index_ikout], + (ppt->size_scalar_perturbation_data[ppw->index_ikout]+ppt->number_of_scalar_titles)*sizeof(double), + ppt->error_message); } storeidx = 0; dataptr = ppt->scalar_perturbations_data[ppw->index_ikout]+ @@ -7999,9 +8682,6 @@ int perturb_print_variables(double tau, class_store_double(dataptr, theta_b, _TRUE_, storeidx); class_store_double(dataptr, psi, _TRUE_, storeidx); class_store_double(dataptr, phi, _TRUE_, storeidx); - - - /* perturbed recombination */ class_store_double(dataptr, delta_temp, ppt->has_perturbed_recombination, storeidx); class_store_double(dataptr, delta_chi, ppt->has_perturbed_recombination, storeidx); @@ -8009,12 +8689,20 @@ int perturb_print_variables(double tau, class_store_double(dataptr, delta_ur, pba->has_ur, storeidx); class_store_double(dataptr, theta_ur, pba->has_ur, storeidx); class_store_double(dataptr, shear_ur, pba->has_ur, storeidx); + /* Interacting dark radiation */ + class_store_double(dataptr, delta_idr, pba->has_idr, storeidx); + class_store_double(dataptr, theta_idr, pba->has_idr, storeidx); + if ((pba->has_idr==_TRUE_) && (ppt->idr_nature == idr_free_streaming)) + class_store_double(dataptr, shear_idr, _TRUE_, storeidx); /* Cold dark matter */ class_store_double(dataptr, delta_cdm, pba->has_cdm, storeidx); class_store_double(dataptr, theta_cdm, pba->has_cdm, storeidx); + /* Interacting dark matter */ + class_store_double(dataptr, delta_idm, pba->has_idm, storeidx); + class_store_double(dataptr, theta_idm, pba->has_idm, storeidx); /* Non-cold Dark Matter */ if ((pba->has_ncdm == _TRUE_) && ((ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_) || (ppt->has_source_delta_m == _TRUE_))) { - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ class_store_double(dataptr, delta_ncdm[n_ncdm], _TRUE_, storeidx); class_store_double(dataptr, theta_ncdm[n_ncdm], _TRUE_, storeidx); class_store_double(dataptr, shear_ncdm[n_ncdm], _TRUE_, storeidx); @@ -8031,12 +8719,25 @@ int perturb_print_variables(double tau, /* Scalar field scf*/ class_store_double(dataptr, delta_scf, pba->has_scf, storeidx); class_store_double(dataptr, theta_scf, pba->has_scf, storeidx); - /* Scalar field smg*/ - class_store_double(dataptr, V_x_smg, pba->has_smg, storeidx); - class_store_double(dataptr, V_x_prime_smg, pba->has_smg, storeidx); - class_store_double(dataptr, h_prime_smg, pba->has_smg, storeidx); - class_store_double(dataptr, eta_smg, pba->has_smg, storeidx); - + /** Fluid */ + class_store_double(dataptr, ppw->delta_rho_fld, pba->has_fld, storeidx); + class_store_double(dataptr, ppw->rho_plus_p_theta_fld, pba->has_fld, storeidx); + class_store_double(dataptr, ppw->delta_p_fld, pba->has_fld, storeidx); + //fprintf(ppw->perturbations_output_file,"\n"); + if (pba->has_smg == _TRUE_) { + class_call( + perturbations_print_variables_smg(ppr, pba, ppt, ppw, k, tau, dataptr, &storeidx), + ppt->error_message, + ppt->error_message + ); + } + class_store_double(dataptr, h_prime, ppt->gauge == synchronous, storeidx); // not only _smg + class_store_double(dataptr, h_prime_prime, ppt->gauge == synchronous, storeidx); + class_store_double(dataptr, eta, ppt->gauge == synchronous, storeidx); + class_store_double(dataptr, eta_prime, ppt->gauge == synchronous, storeidx); + class_store_double(dataptr, alpha_mt, ppt->gauge == synchronous, storeidx); + class_store_double(dataptr, alpha_mt_prime, ppt->gauge == synchronous, storeidx); + class_store_double(dataptr, ppw->pvecmetric[ppw->index_mt_einstein00], ppt->gauge == synchronous, storeidx); } /** - for tensor modes: */ @@ -8085,7 +8786,7 @@ int perturb_print_variables(double tau, } else{ ppt->tensor_perturbations_data[ppw->index_ikout] = - realloc(ppt->tensor_perturbations_data[ppw->index_ikout], + (double*)realloc(ppt->tensor_perturbations_data[ppw->index_ikout], sizeof(double)*(ppt->size_tensor_perturbation_data[ppw->index_ikout]+ppt->number_of_tensor_titles)); } storeidx = 0; @@ -8093,7 +8794,7 @@ int perturb_print_variables(double tau, ppt->size_tensor_perturbation_data[ppw->index_ikout]; ppt->size_tensor_perturbation_data[ppw->index_ikout] += ppt->number_of_tensor_titles; - //fprintf(ppw->perturb_output_file," "); + //fprintf(ppw->perturbations_output_file," "); class_store_double(dataptr, tau, _TRUE_, storeidx); class_store_double(dataptr, pvecback[pba->index_bg_a], _TRUE_, storeidx); class_store_double(dataptr, delta_g, _TRUE_, storeidx); @@ -8115,13 +8816,13 @@ int perturb_print_variables(double tau, idx = ppw->pv->index_pt_psi0_ncdm1; - for(n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ + for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++){ rho_delta_ncdm = 0.0; rho_plus_p_theta_ncdm = 0.0; rho_plus_p_shear_ncdm = 0.0; delta_p_ncdm = 0.0; - factor = pba->factor_ncdm[n_ncdm]*pow(pba->a_today/a,4); + factor = pba->factor_ncdm[n_ncdm]/pow(a,4); for (index_q=0; index_q < ppw->pv->q_size_ncdm[n_ncdm]; index_q ++) { @@ -8155,7 +8856,7 @@ int perturb_print_variables(double tau, } } - // fprintf(ppw->perturb_output_file,"\n"); + // fprintf(ppw->perturbations_output_file,"\n"); } @@ -8168,7 +8869,7 @@ int perturb_print_variables(double tau, return _SUCCESS_; - } +} /** * Compute derivative of all perturbations to be integrated @@ -8192,12 +8893,12 @@ int perturb_print_variables(double tau, * @param error_message Output: error message */ -int perturb_derivs(double tau, - double * y, - double * dy, - void * parameters_and_workspace, - ErrorMsg error_message - ) { +int perturbations_derivs(double tau, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ) { /** Summary: */ /** - define local variables */ @@ -8209,24 +8910,26 @@ int perturb_derivs(double tau, double a,a2,a_prime_over_a,R; /* short-cut names for the fields of the input structure */ - struct perturb_parameters_and_workspace * pppaw; + struct perturbations_parameters_and_workspace * pppaw; double k,k2; int index_md; struct precision * ppr; struct background * pba; - struct thermo * pth; - struct perturbs * ppt; - struct perturb_workspace * ppw; + struct thermodynamics * pth; + struct perturbations * ppt; + struct perturbations_workspace * ppw; double * pvecback; double * pvecthermo; double * pvecmetric; double * s_l; - struct perturb_vector * pv; + struct perturbations_vector * pv; /* short-cut notations for the perturbations */ double delta_g=0.,theta_g=0.,shear_g=0.; double delta_b,theta_b; - double cb2,cs2,ca2; + double delta_idm = 0., theta_idm = 0.; + double delta_idr=0., theta_idr=0.; + double cb2,cs2,ca2,delta_p_b_over_rho_b; double metric_continuity=0.,metric_euler=0.,metric_shear=0.,metric_ufa_class=0.; /* perturbed recombination (just to simplify the notation) */ @@ -8244,6 +8947,12 @@ int perturb_derivs(double tau, /* for use with fluid (fld): */ double w_fld,dw_over_da_fld,w_prime_fld,integral_fld; + /* for use with interacting dark matter */ + double c2_idm=0., S_idm_g=0.; + double dmu_idm_g = 0., photon_scattering_rate; + double S_idm_dr=0., dmu_idm_dr=0., dmu_idr=0., tca_slip_idm_dr=0.; + double R_idm_b = 0., dR_idm_b = 0., S_idm_b = 0.; /* these are just going to be used as a short hand notation */ + /* for use with non-cold dark matter (ncdm): */ int index_q,n_ncdm,idx; double q,epsilon,dlnf0_dlnq,qk_div_epsilon; @@ -8258,7 +8967,7 @@ int perturb_derivs(double tau, /** - rename the fields of the input structure (just to avoid heavy notations) */ - pppaw = parameters_and_workspace; + pppaw = (struct perturbations_parameters_and_workspace *)parameters_and_workspace; k = pppaw->k; k2=k*k; @@ -8279,8 +8988,8 @@ int perturb_derivs(double tau, class_call(background_at_tau(pba, tau, - pba->normal_info, - pba->inter_closeby, + normal_info, + inter_closeby, &(ppw->last_index_back), pvecback), pba->error_message, @@ -8289,23 +8998,23 @@ int perturb_derivs(double tau, class_call(thermodynamics_at_z(pba, pth, 1./pvecback[pba->index_bg_a]-1., /* redshift z=1/a-1 */ - pth->inter_closeby, + inter_closeby, &(ppw->last_index_thermo), pvecback, pvecthermo), pth->error_message, error_message); - /** - get metric perturbations with perturb_einstein() */ - class_call(perturb_einstein(ppr, - pba, - pth, - ppt, - index_md, - k, - tau, - y, - ppw), + /** - get metric perturbations with perturbations_einstein() */ + class_call(perturbations_einstein(ppr, + pba, + pth, + ppt, + index_md, + k, + tau, + y, + ppw), ppt->error_message, error_message); @@ -8316,6 +9025,34 @@ int perturb_derivs(double tau, a_prime_over_a = pvecback[pba->index_bg_H] * a; R = 4./3. * pvecback[pba->index_bg_rho_g]/pvecback[pba->index_bg_rho_b]; + photon_scattering_rate = pvecthermo[pth->index_th_dkappa]; + + if (pba->has_idm == _TRUE_) { + + if (ppt->has_idm_soundspeed == _TRUE_) { + c2_idm = pvecthermo[pth->index_th_c2_idm]; + } + else { + c2_idm = 0.; + } + + if (pth->has_idm_g == _TRUE_) { + dmu_idm_g = pvecthermo[pth->index_th_dmu_idm_g]; + photon_scattering_rate += pvecthermo[pth->index_th_dmu_idm_g]; + S_idm_g = 4./3. * pvecback[pba->index_bg_rho_g] / pvecback[pba->index_bg_rho_idm]; + } + if (pth->has_idm_dr == _TRUE_){ + S_idm_dr = 4./3. * pvecback[pba->index_bg_rho_idr]/ pvecback[pba->index_bg_rho_idm]; + dmu_idm_dr = pvecthermo[pth->index_th_dmu_idm_dr]; + dmu_idr = pth->b_idr/pth->a_idm_dr*pba->Omega0_idr/pba->Omega0_idm*dmu_idm_dr; + } + if (pth->has_idm_b == _TRUE_) { + R_idm_b = pvecthermo[pth->index_th_R_idm_b]; + dR_idm_b = pvecthermo[pth->index_th_dR_idm_b]; + S_idm_b = pvecback[pba->index_bg_rho_idm]/pvecback[pba->index_bg_rho_b]; + } + } + /** - Compute 'generalised cotK function of argument \f$ \sqrt{|K|}*\tau \f$, for closing hierarchy. (see equation 2.34 in arXiv:1305.3261): */ if (pba->has_curvature == _FALSE_){ @@ -8339,15 +9076,33 @@ int perturb_derivs(double tau, delta_g = y[pv->index_pt_delta_g]; theta_g = y[pv->index_pt_theta_g]; } + + if (pba->has_idr == _TRUE_){ + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off){ + delta_idr = y[pv->index_pt_delta_idr]; + theta_idr = y[pv->index_pt_theta_idr]; + } + } + delta_b = y[pv->index_pt_delta_b]; theta_b = y[pv->index_pt_theta_b]; cb2 = pvecthermo[pth->index_th_cb2]; + delta_p_b_over_rho_b = cb2*delta_b; /* for baryons, (delta p)/rho with Ma & Bertschinger approximation: sound speed = adiabatic sound speed */ + + + if (pba->has_idm == _TRUE_){ + delta_idm = y[pv->index_pt_delta_idm]; + theta_idm = y[pv->index_pt_theta_idm]; + ppw->theta_idm = theta_idm; + } /** - --> (b) perturbed recombination **/ if ((ppt->has_perturbed_recombination == _TRUE_)&&(ppw->approx[ppw->index_ap_tca]==(int)tca_off)){ delta_temp= y[ppw->pv->index_pt_perturbed_recombination_delta_temp]; + delta_p_b_over_rho_b = pvecthermo[pth->index_th_wb]*(delta_b+delta_temp); /* for baryons, (delta p)/rho with sound speed from arXiv:0707.2727 */ + delta_chi= y[ppw->pv->index_pt_perturbed_recombination_delta_chi]; chi=pvecthermo[pth->index_th_xe]; @@ -8358,7 +9113,7 @@ int perturb_derivs(double tau, Nnow = 3.*H0*H0*pba->Omega0_b*(1.-pth->YHe)/(8.*_PI_*_G_*_m_H_); // total amount of hydrogen today - n_H = (pba->a_today/a)*(pba->a_today/a)*(pba->a_today/a)* Nnow; + n_H = Nnow/pow(a,3); // Helium-to-hydrogen ratio fHe = pth->YHe / (_not4_*(1-pth->YHe)); @@ -8382,19 +9137,19 @@ int perturb_derivs(double tau, /** - --> (c) compute metric-related quantities (depending on gauge; additional gauges can be coded below) - - Each continuity equation contains a term in (theta+metric_continuity) with - metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge + - Each continuity equation contains a term in (theta+metric_continuity) with + metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge - - Each Euler equation contains a source term metric_euler with - metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge + - Each Euler equation contains a source term metric_euler with + metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge - - Each shear derivative equation contains a source term metric_shear equal to - metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge + - Each shear derivative equation contains a source term metric_shear equal to + metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge - - metric_shear_prime is the derivative of metric_shear + - metric_shear_prime is the derivative of metric_shear - - In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, - (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime) */ + - In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, + (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime) */ if (ppt->gauge == synchronous) { @@ -8414,16 +9169,69 @@ int perturb_derivs(double tau, metric_ufa_class = -6.*pvecmetric[ppw->index_mt_phi_prime]; } - /** - --> (d) if some approximation schemes are turned on, enforce a few y[] values computed in perturb_einstein */ + /** - --> (d) if some approximation schemes are turned on, enforce a few y[] values computed in perturbations_einstein */ if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { delta_g = ppw->rsa_delta_g; theta_g = ppw->rsa_theta_g; } + if (pba->has_idr == _TRUE_){ + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on){ + delta_idr = ppw->rsa_delta_idr; + theta_idr = ppw->rsa_theta_idr; + } + } + /** - --> (e) BEGINNING OF ACTUAL SYSTEM OF EQUATIONS OF EVOLUTION */ - /* Note concerning perturbed recombination: $cb2*delta_b$ must be replaced everywhere by $cb2*(delta_b+delta_temp)$. If perturbed recombination is not required, delta_temp is equal to zero. */ + /* start with idm as it might be needed during (normal) tca */ + if (pba->has_idm == _TRUE_){ + dy[pv->index_pt_delta_idm] = -(theta_idm+metric_continuity); /* idm density */ + dy[pv->index_pt_theta_idm] = + -a_prime_over_a*theta_idm + +metric_euler + + k2*c2_idm*delta_idm; /* idm velocity */ + + if (pth->has_idm_g == _TRUE_) { + dy[pv->index_pt_theta_idm] += -S_idm_g*dmu_idm_g*(theta_idm-theta_g); /* correction to idm velocity due to idm_g */ + } + if (pth->has_idm_b == _TRUE_){ + dy[pv->index_pt_theta_idm] += -R_idm_b*(theta_idm-theta_b); /* correction to idm velocity due to idm_b */ + } + if (pth->has_idm_dr == _TRUE_) { + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off) { + dy[pv->index_pt_theta_idm] += -S_idm_dr * dmu_idm_dr * (theta_idm - theta_idr); /* correction to idm velocity due to idm_dr when tca_idm_dr is off */ + + } + else { + tca_slip_idm_dr = (pth->n_index_idm_dr-2./(1.+S_idm_dr))*a_prime_over_a*( theta_idm - theta_idr) + + 1./(1.+S_idm_dr)/dmu_idm_dr* ( - theta_idm * (pvecback[pba->index_bg_H_prime] * a + 2. * a_prime_over_a * a_prime_over_a) + - a_prime_over_a * (.5*k2*delta_idr + metric_euler) - k2*c2_idm*(theta_idm+metric_continuity) + k2/3.*(theta_idr + metric_continuity) + ); + + if (pth->has_idm_g == _TRUE_) { + tca_slip_idm_dr += 1./(1.+S_idm_dr)/dmu_idm_dr * ( (2+pth->n_index_idm_g) * a_prime_over_a * S_idm_g*dmu_idm_g*(theta_idm - theta_g) + - S_idm_g*dmu_idm_g*(dy[pv->index_pt_theta_idm] - k2*delta_g/4. - metric_euler + - pvecthermo[pth->index_th_dkappa]*(theta_b-theta_g) - dmu_idm_g * (theta_idm - theta_g)) ); + } + if (pth->has_idm_b == _TRUE_) { + tca_slip_idm_dr += 1./(1.+S_idm_dr)/dmu_idm_dr * ( - (a_prime_over_a *R_idm_b + dR_idm_b)*(theta_idm - theta_b) + - R_idm_b*( dy[pv->index_pt_theta_idm] + a_prime_over_a*theta_b - metric_euler - k2*delta_p_b_over_rho_b + - R*pvecthermo[pth->index_th_dkappa]*(theta_g-theta_b) - S_idm_b*R_idm_b*(theta_idm-theta_b))); + } + + ppw->tca_shear_idm_dr = 0.5*8./15./dmu_idm_dr/ppt->alpha_idm_dr[0]*(y[pv->index_pt_theta_idm]+metric_shear); + + + dy[pv->index_pt_theta_idm] = 1./(1.+S_idm_dr)* dy[pv->index_pt_theta_idm] /* This is technically correct as long as idm_dr is the last interaction calculated */ + + S_idm_dr/(1.+S_idm_dr)*(k2*(delta_idr/4. - ppw->tca_shear_idm_dr) + metric_euler) /* the other part of metric_euler is in dtheta_idm */ + + S_idm_dr/(1.+S_idm_dr)*tca_slip_idm_dr; /* overwrite the idm velocity when tca_idm_dr is on */ + } + } + + ppw->theta_idm_prime = dy[pv->index_pt_theta_idm]; + } /** - ---> photon temperature density */ @@ -8447,25 +9255,35 @@ int perturb_derivs(double tau, dy[pv->index_pt_theta_b] = - a_prime_over_a*theta_b + metric_euler - + k2*cb2*(delta_b+delta_temp) + + k2*delta_p_b_over_rho_b + R*pvecthermo[pth->index_th_dkappa]*(theta_g-theta_b); + if (pth->has_idm_b == _TRUE_) { + dy[pv->index_pt_theta_b] += S_idm_b*R_idm_b*(theta_idm-theta_b); + } } else { /* with tca */ - class_call(perturb_tca_slip_and_shear(y,pppaw,error_message), + class_call(perturbations_tca_slip_and_shear(y,pppaw,error_message), error_message, error_message); /* perturbed recombination has an impact **/ dy[pv->index_pt_theta_b] = (-a_prime_over_a*theta_b - +k2*(cb2*(delta_b+delta_temp)+R*(delta_g/4.-s2_squared*ppw->tca_shear_g)) + +k2*(delta_p_b_over_rho_b+R*(delta_g/4.-s2_squared*ppw->tca_shear_g)) +R*ppw->tca_slip)/(1.+R) +metric_euler; + if (pth->has_idm_g == _TRUE_) { + dy[pv->index_pt_theta_b] += + -dmu_idm_g * R/(1.+R) * (theta_g - theta_idm); + } + if (pth->has_idm_b == _TRUE_) { + dy[pv->index_pt_theta_b] += (S_idm_b * R_idm_b * (theta_idm - theta_b))/(1.+R); + } } /** - ---> photon temperature higher momenta and photon polarization (depend on tight-coupling approximation) */ @@ -8485,79 +9303,91 @@ int perturb_derivs(double tau, + metric_euler + pvecthermo[pth->index_th_dkappa]*(theta_b-theta_g); + if (pth->has_idm_g == _TRUE_) { + dy[pv->index_pt_theta_g] += dmu_idm_g * (theta_idm - theta_g); + } + /** - -----> photon temperature shear */ dy[pv->index_pt_shear_g] = 0.5*(8./15.*(theta_g+metric_shear) -3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_l3_g] - -pvecthermo[pth->index_th_dkappa]*(2.*y[pv->index_pt_shear_g]-4./5./s_l[2]*P0)); + -photon_scattering_rate*(2.*y[pv->index_pt_shear_g]-4./5./s_l[2]*P0)); /** - -----> photon temperature l=3 */ l = 3; dy[pv->index_pt_l3_g] = k/(2.0*l+1.0)* (l*s_l[l]*2.*s_l[2]*y[pv->index_pt_shear_g]-(l+1.)*s_l[l+1]*y[pv->index_pt_l3_g+1]) - - pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_l3_g]; + - photon_scattering_rate*y[pv->index_pt_l3_g]; /** - -----> photon temperature l>3 */ for (l = 4; l < pv->l_max_g; l++) { dy[pv->index_pt_delta_g+l] = k/(2.0*l+1.0)* (l*s_l[l]*y[pv->index_pt_delta_g+l-1]-(l+1)*s_l[l+1]*y[pv->index_pt_delta_g+l+1]) - - pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_delta_g+l]; + - photon_scattering_rate*y[pv->index_pt_delta_g+l]; } /** - -----> photon temperature lmax */ l = pv->l_max_g; /* l=lmax */ dy[pv->index_pt_delta_g+l] = k*(s_l[l]*y[pv->index_pt_delta_g+l-1]-(1.+l)*cotKgen*y[pv->index_pt_delta_g+l]) - - pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_delta_g+l]; + - photon_scattering_rate*y[pv->index_pt_delta_g+l]; /** - -----> photon polarization l=0 */ dy[pv->index_pt_pol0_g] = -k*y[pv->index_pt_pol0_g+1] - -pvecthermo[pth->index_th_dkappa]*(y[pv->index_pt_pol0_g]-4.*P0); + -photon_scattering_rate*(y[pv->index_pt_pol0_g]-4.*P0); /** - -----> photon polarization l=1 */ dy[pv->index_pt_pol1_g] = k/3.*(y[pv->index_pt_pol1_g-1]-2.*s_l[2]*y[pv->index_pt_pol1_g+1]) - -pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_pol1_g]; + -photon_scattering_rate*y[pv->index_pt_pol1_g]; /** - -----> photon polarization l=2 */ dy[pv->index_pt_pol2_g] = k/5.*(2.*s_l[2]*y[pv->index_pt_pol2_g-1]-3.*s_l[3]*y[pv->index_pt_pol2_g+1]) - -pvecthermo[pth->index_th_dkappa]*(y[pv->index_pt_pol2_g]-4./5.*P0); + -photon_scattering_rate*(y[pv->index_pt_pol2_g]-4./5.*P0); /** - -----> photon polarization l>2 */ for (l=3; l < pv->l_max_pol_g; l++) dy[pv->index_pt_pol0_g+l] = k/(2.*l+1)* (l*s_l[l]*y[pv->index_pt_pol0_g+l-1]-(l+1.)*s_l[l+1]*y[pv->index_pt_pol0_g+l+1]) - -pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_pol0_g+l]; + -photon_scattering_rate*y[pv->index_pt_pol0_g+l]; /** - -----> photon polarization lmax_pol */ l = pv->l_max_pol_g; dy[pv->index_pt_pol0_g+l] = k*(s_l[l]*y[pv->index_pt_pol0_g+l-1]-(l+1)*cotKgen*y[pv->index_pt_pol0_g+l]) - -pvecthermo[pth->index_th_dkappa]*y[pv->index_pt_pol0_g+l]; + -photon_scattering_rate*y[pv->index_pt_pol0_g+l]; - } + } /** - ----> if photon tight-coupling is on: */ else { /** - -----> in that case, only need photon velocity */ - /* perturbed recombination has an impact **/ dy[pv->index_pt_theta_g] = - -(dy[pv->index_pt_theta_b]+a_prime_over_a*theta_b-cb2*k2*(delta_b+delta_temp))/R + -(dy[pv->index_pt_theta_b]+a_prime_over_a*theta_b-k2*delta_p_b_over_rho_b)/R +k2*(0.25*delta_g-s2_squared*ppw->tca_shear_g)+(1.+R)/R*metric_euler; + + if (pth->has_idm_g == _TRUE_) { + dy[pv->index_pt_theta_g] += + -dmu_idm_g * (theta_g - theta_idm); + } + if (pth->has_idm_b == _TRUE_) { + dy[pv->index_pt_theta_g] += S_idm_b * R_idm_b * (theta_idm - theta_b) / R; + } } + } /** - ---> cdm */ @@ -8577,19 +9407,72 @@ int perturb_derivs(double tau, if (ppt->gauge == synchronous) { dy[pv->index_pt_delta_cdm] = -metric_continuity; /* cdm density */ } + } + + /** - ---> interacting dark radiation */ + if (pba->has_idr == _TRUE_){ + + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_off) { + + dy[pv->index_pt_delta_idr] = -4./3.*(theta_idr + metric_continuity); + + if (ppw->approx[ppw->index_ap_tca_idm_dr] == (int)tca_idm_dr_off) { + + /** - ----> idr velocity */ + if (ppt->idr_nature == idr_free_streaming) + dy[pv->index_pt_theta_idr] = k2*(y[pv->index_pt_delta_idr]/4.-s2_squared*y[pv->index_pt_shear_idr]) + metric_euler; + else + dy[pv->index_pt_theta_idr] = k2/4. * y[pv->index_pt_delta_idr] + metric_euler; + + if (pth->has_idm_dr == _TRUE_) + dy[pv->index_pt_theta_idr] += dmu_idm_dr*(y[pv->index_pt_theta_idm]-y[pv->index_pt_theta_idr]); + + if (ppt->idr_nature == idr_free_streaming){ + /** - ----> exact idr shear */ + l = 2; + dy[pv->index_pt_shear_idr] = 0.5*(8./15.*(y[pv->index_pt_theta_idr]+metric_shear)-3./5.*k*s_l[3]/s_l[2]*y[pv->index_pt_shear_idr+1]); + if (pth->has_idm_dr == _TRUE_) + dy[pv->index_pt_shear_idr]-= (ppt->alpha_idm_dr[l-2]*dmu_idm_dr + ppt->beta_idr[l-2]*dmu_idr)*y[pv->index_pt_shear_idr]; + + /** - ----> exact idr l=3 */ + l = 3; + dy[pv->index_pt_l3_idr] = k/(2.*l+1.)*(l*2.*s_l[l]*s_l[2]*y[pv->index_pt_shear_idr]-(l+1.)*s_l[l+1]*y[pv->index_pt_l3_idr+1]); + if (pth->has_idm_dr == _TRUE_) + dy[pv->index_pt_l3_idr]-= (ppt->alpha_idm_dr[l-2]*dmu_idm_dr + ppt->beta_idr[l-2]*dmu_idr)*y[pv->index_pt_l3_idr]; + + /** - ----> exact idr l>3 */ + for (l = 4; l < pv->l_max_idr; l++) { + dy[pv->index_pt_delta_idr+l] = k/(2.*l+1)*(l*s_l[l]*y[pv->index_pt_delta_idr+l-1]-(l+1.)*s_l[l+1]*y[pv->index_pt_delta_idr+l+1]); + if (pth->has_idm_dr == _TRUE_) + dy[pv->index_pt_delta_idr+l]-= (ppt->alpha_idm_dr[l-2]*dmu_idm_dr + ppt->beta_idr[l-2]*dmu_idr)*y[pv->index_pt_delta_idr+l]; + } + + /** - ----> exact idr lmax_dr */ + l = pv->l_max_idr; + dy[pv->index_pt_delta_idr+l] = k*(s_l[l]*y[pv->index_pt_delta_idr+l-1]-(1.+l)*cotKgen*y[pv->index_pt_delta_idr+l]); + if (pth->has_idm_dr == _TRUE_) + dy[pv->index_pt_delta_idr+l]-= (ppt->alpha_idm_dr[l-2]*dmu_idm_dr + ppt->beta_idr[l-2]*dmu_idr)*y[pv->index_pt_delta_idr+l]; + } + } + else{ + dy[pv->index_pt_theta_idr] = ppw->theta_idm_prime - tca_slip_idm_dr; + } + } } /* perturbed recombination */ /* computes the derivatives of delta x_e and delta T_b */ - if((ppt->has_perturbed_recombination == _TRUE_)&&(ppw->approx[ppw->index_ap_tca] == (int)tca_off)){ + if ((ppt->has_perturbed_recombination == _TRUE_)&&(ppw->approx[ppw->index_ap_tca] == (int)tca_off)){ - // alpha * n_H is in inverse seconds, so we have to multiply it by Mpc_in_sec + /* alpha * n_H is in inverse seconds, so we have to multiply it by Mpc_in_sec */ dy[ppw->pv->index_pt_perturbed_recombination_delta_chi] = - alpha_rec* a * chi*n_H *(delta_alpha_rec + delta_chi + delta_b) * _Mpc_over_m_ / _c_ ; - // see the documentation for this formula - dy[ppw->pv->index_pt_perturbed_recombination_delta_temp] = 2./3. * dy[ppw->pv->index_pt_delta_b] - a * Compton_CR * pow(pba->T_cmb/a, 4) * chi / (1.+chi+fHe) * ( (1.-pba->T_cmb*pba->a_today/a/pvecthermo[pth->index_th_Tb])*(delta_g + delta_chi*(1.+fHe)/(1.+chi+fHe)) + pba->T_cmb*pba->a_today/a/pvecthermo[pth->index_th_Tb] *(delta_temp - 1./4. * delta_g) ); + /* see the documentation for this formula */ + dy[ppw->pv->index_pt_perturbed_recombination_delta_temp] = 2./3. * dy[ppw->pv->index_pt_delta_b] - a * Compton_CR + * pow(pba->T_cmb/a, 4) * chi / (1.+chi+fHe) * ( (1.-pba->T_cmb/a/pvecthermo[pth->index_th_Tb])*(delta_g + delta_chi*(1.+fHe)/(1.+chi+fHe)) + + pba->T_cmb/a/pvecthermo[pth->index_th_Tb] *(delta_temp - 1./4. * delta_g) ); } @@ -8614,7 +9497,7 @@ int perturb_derivs(double tau, rho_crit_today = H0^2. */ - f_dr = pow(pow(a/pba->a_today,2)/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; + f_dr = pow(pow(a,2)/pba->H0,2)*pvecback[pba->index_bg_rho_dr]; fprime_dr = pba->Gamma_dcdm*pvecback[pba->index_bg_rho_dcdm]*pow(a,5)/pow(pba->H0,2); /** - ----> dr F0 */ @@ -8697,26 +9580,14 @@ int perturb_derivs(double tau, } + /** - ---> scalar modified gravity (smg) */ if (pba->has_smg == _TRUE_) { - - int qs_array_smg[] = _VALUES_QS_SMG_FLAGS_; - - class_test(ppt->gauge == newtonian, - ppt->error_message, - "asked for scalar field AND Newtonian gauge. Not yet implemented"); - - //make sure that second order equations are being used - if (qs_array_smg[ppw->approx[ppw->index_ap_qs_smg]] == 0) { - - /** ---> scalar field velocity */ - dy[pv->index_pt_vx_smg] = pvecmetric[ppw->index_mt_vx_prime_smg]; - - /** ---> Scalar field acceleration (passes the value obtained in perturb_einstein) */ - dy[pv->index_pt_vx_prime_smg] = pvecmetric[ppw->index_mt_vx_prime_prime_smg]; - - } - - } + class_call( + perturbations_derivs_smg(ppt, ppw, pv, dy, pvecmetric), + ppt->error_message, + ppt->error_message + ); + } /** - ---> ultra-relativistic neutrino/relics (ur) */ @@ -8740,7 +9611,7 @@ int perturb_derivs(double tau, // non-standard term, non-zero if ceff2_ur not 1/3 -(1.-ppt->three_ceff2_ur)*a_prime_over_a*y[pv->index_pt_theta_ur]; - if(ppw->approx[ppw->index_ap_ufa] == (int)ufa_off) { + if (ppw->approx[ppw->index_ap_ufa] == (int)ufa_off) { /** - -----> exact ur shear */ dy[pv->index_pt_shear_ur] = @@ -8810,7 +9681,7 @@ int perturb_derivs(double tau, /** - ----> first case: use a fluid approximation (ncdmfa) */ //TBC: curvature - if(ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on) { + if (ppw->approx[ppw->index_ap_ncdmfa] == (int)ncdmfa_on) { /** - -----> loop over species */ @@ -8919,7 +9790,7 @@ int perturb_derivs(double tau, /** - -----> ncdm l>3 for given momentum bin */ - for(l=3; ll_max_ncdm[n_ncdm]; l++){ + for (l=3; ll_max_ncdm[n_ncdm]; l++){ dy[idx+l] = qk_div_epsilon/(2.*l+1.0)*(l*s_l[l]*y[idx+(l-1)]-(l+1.)*s_l[l+1]*y[idx+(l+1)]); } @@ -8946,12 +9817,6 @@ int perturb_derivs(double tau, } - if ((ppt->gauge == synchronous) && (pba->has_smg == _TRUE_)) { - - dy[pv->index_pt_h_prime_from_trace_smg] = pvecmetric[ppw->index_mt_h_prime_prime]; - - } - if (ppt->gauge == newtonian) { dy[pv->index_pt_phi] = pvecmetric[ppw->index_mt_phi_prime]; @@ -9239,7 +10104,7 @@ int perturb_derivs(double tau, /** - ----> ncdm l>0 for given momentum bin */ - for(l=1; ll_max_ncdm[n_ncdm]; l++){ + for (l=1; ll_max_ncdm[n_ncdm]; l++){ dy[idx+l] = qk_div_epsilon/(2.*l+1.0)*(l*s_l[l]*y[idx+(l-1)]-(l+1.)*s_l[l+1]*y[idx+(l+1)]); } @@ -9266,10 +10131,19 @@ int perturb_derivs(double tau, return _SUCCESS_; } -int perturb_tca_slip_and_shear(double * y, - void * parameters_and_workspace, - ErrorMsg error_message - ) { +/** + * Compute the baryon-photon slip (theta_g - theta_b)' and the photon + * shear in the tight-coupling approximation + * + * @param y Input: vector of perturbations + * @param parameters_and_workspace Input/Output: in input, fixed parameters (e.g. indices); in output, slip and shear + * @param error_message Output: error message + */ + +int perturbations_tca_slip_and_shear(double * y, + void * parameters_and_workspace, + ErrorMsg error_message + ) { /** Summary: */ /** - define local variables */ @@ -9285,17 +10159,17 @@ int perturb_tca_slip_and_shear(double * y, double F=0.,F_prime=0.,F_prime_prime=0.; /* short-cut names for the fields of the input structure */ - struct perturb_parameters_and_workspace * pppaw; + struct perturbations_parameters_and_workspace * pppaw; double k,k2; struct precision * ppr; struct background * pba; - struct thermo * pth; - struct perturbs * ppt; - struct perturb_workspace * ppw; + struct thermodynamics * pth; + struct perturbations * ppt; + struct perturbations_workspace * ppw; double * pvecback; double * pvecthermo; double * pvecmetric; - struct perturb_vector * pv; + struct perturbations_vector * pv; /* short-cut notations for the perturbations */ double delta_g=0.,theta_g=0.,shear_g=0.; @@ -9304,15 +10178,21 @@ int perturb_tca_slip_and_shear(double * y, double cb2; double metric_continuity=0.,metric_euler=0.,metric_shear=0.,metric_shear_prime=0.; - /* perturbed recombination */ - double delta_temp=0.; + /* idm_g effects on tca */ + double theta_idm = 0., theta_idm_prime = 0.; + double tau_2_idm_g=0., dtau_2_idm_g=0.; + double dmu_idm_g = 0., ddmu_idm_g = 0.; + /* in case of idm_b - for notation see 1802.06788 */ + double tau_idm_b=0., dtau_idm_b=0.; + double R_idm_b = 0., R_idm_b_prime = 0.; + double S_idm_b = 0.; /* for use with curvature */ double s2_squared; /** - rename the fields of the input structure (just to avoid heavy notations) */ - pppaw = parameters_and_workspace; + pppaw = (struct perturbations_parameters_and_workspace *)parameters_and_workspace; k = pppaw->k; k2=k*k; @@ -9333,7 +10213,6 @@ int perturb_tca_slip_and_shear(double * y, a = pvecback[pba->index_bg_a]; a_prime_over_a = pvecback[pba->index_bg_H] * a; a_primeprime_over_a = pvecback[pba->index_bg_H_prime] * a + 2. * a_prime_over_a * a_prime_over_a; - //z = pba->a_today-1.; R = 4./3. * pvecback[pba->index_bg_rho_g]/pvecback[pba->index_bg_rho_b]; s2_squared = 1.-3.*pba->K/k2; @@ -9345,10 +10224,32 @@ int perturb_tca_slip_and_shear(double * y, delta_b = y[pv->index_pt_delta_b]; theta_b = y[pv->index_pt_theta_b]; cb2 = pvecthermo[pth->index_th_cb2]; + /* during TCA one can show that sound speed = adiabatic sound speed, + so no need to take into account corrections from perturbed + recombination here */ - /* perturbed recombination */ - if ((ppt->has_perturbed_recombination == _TRUE_) && (ppw->approx[ppw->index_ap_tca] == (int)tca_off) ){ - delta_temp = y[pv->index_pt_perturbed_recombination_delta_temp]; + if ((pth->has_idm_b == _TRUE_) || (pth->has_idm_g == _TRUE_)) { + theta_idm = y[pv->index_pt_theta_idm]; + theta_idm_prime = ppw->theta_idm_prime; + } + + /* terms for idm_b */ + if (pth->has_idm_b == _TRUE_) { + R_idm_b = pvecthermo[pth->index_th_R_idm_b]; + R_idm_b_prime = pvecthermo[pth->index_th_dR_idm_b]; + S_idm_b = pvecback[pba->index_bg_rho_idm]/pvecback[pba->index_bg_rho_b]; + class_test( (ppr->tight_coupling_approximation != (int)first_order_CLASS) , + ppt->error_message, + "idm_b is only coded with first order CLASS approximation in the tight coupling regime."); + } + + if (pth->has_idm_g == _TRUE_) { + dmu_idm_g = pvecthermo[pth->index_th_dmu_idm_g]; + ddmu_idm_g = pvecthermo[pth->index_th_ddmu_idm_g]; + + class_test(ppr->tight_coupling_approximation != (int)first_order_CLASS && ppr->tight_coupling_approximation != (int)compromise_CLASS, + ppt->error_message, + "idm_g is only coded with the first order and compromise CLASS approximation in the tight coupling regime."); } /** - --> (b) define short-cut notations used only in tight-coupling approximation */ @@ -9364,22 +10265,32 @@ int perturb_tca_slip_and_shear(double * y, +tau_c*((a_primeprime_over_a-2.*a_prime_over_a*a_prime_over_a)+2.*a_prime_over_a*a_prime_over_a*R/(1+R))*R/(1+R)/(1+R); } } + /* these are only needed for the photon shear */ + if (pth->has_idm_g == _TRUE_) { + tau_2_idm_g = 1./(pvecthermo[pth->index_th_dkappa] + dmu_idm_g); + dtau_2_idm_g = - (pvecthermo[pth->index_th_ddkappa] + ddmu_idm_g)*tau_2_idm_g*tau_2_idm_g; + } + + if (pth->has_idm_b == _TRUE_) { + tau_idm_b = 1./R_idm_b; + dtau_idm_b = -R_idm_b_prime/R_idm_b/R_idm_b; + } /** - --> (c) compute metric-related quantities (depending on gauge; additional gauges can be coded below) - - Each continuity equation contains a term in (theta+metric_continuity) with - metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge + - Each continuity equation contains a term in (theta+metric_continuity) with + metric_continuity = (h_prime/2) in synchronous gauge, (-3 phi_prime) in newtonian gauge - - Each Euler equation contains a source term metric_euler with - metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge + - Each Euler equation contains a source term metric_euler with + metric_euler = 0 in synchronous gauge, (k2 psi) in newtonian gauge - - Each shear derivative equation contains a source term metric_shear equal to - metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge + - Each shear derivative equation contains a source term metric_shear equal to + metric_shear = (h_prime+6eta_prime)/2 in synchronous gauge, 0 in newtonian gauge - - metric_shear_prime is the derivative of metric_shear + - metric_shear_prime is the derivative of metric_shear - - In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, - (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime) */ + - In the ufa_class approximation, the leading-order source term is (h_prime/2) in synchronous gauge, + (-3 (phi_prime+psi_prime)) in newtonian gauge: we approximate the later by (-6 phi_prime) */ if (ppt->gauge == synchronous) { @@ -9397,13 +10308,22 @@ int perturb_tca_slip_and_shear(double * y, metric_shear_prime = 0.; } - /** - --> (d) if some approximation schemes are turned on, enforce a few y[ ] values computed in perturb_einstein */ + /** - --> (d) if some approximation schemes are turned on, enforce a few y[ ] values computed in perturbations_einstein */ /* free-streaming photon velocity */ if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) theta_g = ppw->rsa_theta_g; + + /** - ---> intermediate quantities for 2nd order tca (or 1st with idm_g): zero order for theta_b' = theta_g' */ + theta_prime = (-a_prime_over_a*theta_b+k2*(cb2*delta_b+R/4.*delta_g))/(1.+R) + metric_euler; + + /** - ---> standard photon velocity derivative without tca (neglecting shear) - only needed for idm_g_dr behavior */ + if (pth->has_idm_g == _TRUE_) { + theta_prime += -R/(1.+R) * dmu_idm_g * (theta_g - theta_idm); + } + /** - ---> like Ma & Bertschinger */ if (ppr->tight_coupling_approximation == (int)first_order_MB) { @@ -9439,20 +10359,36 @@ int perturb_tca_slip_and_shear(double * y, -a_prime_over_a*metric_euler); } + + if (pth->has_idm_g == _TRUE_ && (ppr->tight_coupling_approximation == (int)first_order_CLASS || ppr->tight_coupling_approximation == (int)second_order_CLASS || ppr->tight_coupling_approximation == (int)compromise_CLASS )) { + slip += -F*dmu_idm_g * ( k2*delta_g/4. + metric_euler + pvecthermo[pth->index_th_dkappa]*(theta_b-theta_g) + dmu_idm_g * (theta_idm - theta_g) + - theta_idm_prime); + } + + if (pth->has_idm_b == _TRUE_) { + slip -= S_idm_b * tau_c/tau_idm_b / (1.+R) + * ( (a_prime_over_a - dtau_idm_b/tau_idm_b) * (theta_idm - theta_b) + + theta_idm_prime + - (-a_prime_over_a*theta_b + metric_euler + cb2*k2*delta_b + R/tau_c*(theta_g - theta_b) + S_idm_b*R_idm_b*(theta_idm - theta_b)) ); + } + /** - ---> intermediate quantities for 2nd order tca: shear_g at first order in tight-coupling */ shear_g=16./45.*tau_c*(theta_g+metric_shear); /* (Ma & Bertschinger give (1/9)*(4/3) instead of (2/15)*(4/3) because they didn't include the contribution of G_gamma0 and G_gamma2, which are of the same order as sigma_g. This was already consistently included in CAMB) */ - - /** - ---> intermediate quantities for 2nd order tca: zero order for theta_b' = theta_g' */ - /** - ----> perturbed recombination has an impact **/ - theta_prime = (-a_prime_over_a*theta_b+k2*(cb2*(delta_b+delta_temp)+R/4.*delta_g))/(1.+R) + metric_euler; - + /* if there is idm_g we have to use a different photon shear term, see 1802.06589 */ + if (pth->has_idm_g == _TRUE_) { + shear_g = 16./45. * tau_2_idm_g * (theta_g + metric_shear); + } /** - ---> intermediate quantities for 2nd order tca: shear_g_prime at first order in tight-coupling */ shear_g_prime=16./45.*(tau_c*(theta_prime+metric_shear_prime)+dtau_c*(theta_g+metric_shear)); + /* change for idm_g, same as above */ + if (pth->has_idm_g == _TRUE_) { + shear_g_prime = 16./45.*(tau_2_idm_g*(theta_prime + metric_shear_prime) + dtau_2_idm_g*(theta_g+metric_shear)); + } /** - ---> 2nd order as in CRS*/ if (ppr->tight_coupling_approximation == (int)second_order_CRS) { @@ -9488,9 +10424,8 @@ int perturb_tca_slip_and_shear(double * y, +( a_primeprime_over_a*a_prime_over_a*((2.-3.*cb2)*R-2.)*theta_b/(1.+R) +a_prime_over_a*k2*(1.-3.*cb2)*theta_b/3./(1.+R) - /* perturbed recombination has an impact (next two lines) */ - +a_primeprime_over_a*k2*cb2*(delta_b+delta_temp)/(1.+R) - +k2*k2*(3.*cb2-1.)*cb2*(delta_b+delta_temp)/3./(1.+R) + +a_primeprime_over_a*k2*cb2*delta_b/(1.+R) + +k2*k2*(3.*cb2-1.)*cb2*delta_b/3./(1.+R) +k2*k2*R*(3.*cb2-1.)*delta_g/12./(1.+R) +a_primeprime_over_a*k2*(2.+3.*R)*delta_g/4./(1.+R) +a_prime_over_a*a_prime_over_a*k2*((2.-3.*cb2)*R-1.)*delta_g/2./(1.+R) @@ -9537,9 +10472,14 @@ int perturb_tca_slip_and_shear(double * y, slip = (1.-2*a_prime_over_a*F)*slip + F*k2*s2_squared*(2.*a_prime_over_a*shear_g+shear_g_prime) -F*(F_prime_prime*g0+2.*F_prime*g0_prime+F*g0_prime_prime); - /* second-order correction to shear */ - shear_g = (1.-11./6.*dtau_c)*shear_g-11./6.*tau_c*16./45.*tau_c*(theta_prime+metric_shear_prime); - + /* second-order correction to shear*/ + /* this is modified for idm_g, see 1802.06589 */ + if (pth->has_idm_g == _TRUE_) { + shear_g = (1.-11./6.*dtau_2_idm_g)*shear_g-11./6.*tau_2_idm_g*16./45.*tau_2_idm_g*(theta_prime+metric_shear_prime); + } + else { + shear_g = (1.-11./6.*dtau_c)*shear_g-11./6.*tau_c*16./45.*tau_c*(theta_prime+metric_shear_prime); + } } } @@ -9550,8 +10490,13 @@ int perturb_tca_slip_and_shear(double * y, slip = (1.-2.*a_prime_over_a*F)*slip + F*k2*(2.*a_prime_over_a*s2_squared*shear_g+s2_squared*shear_g_prime-(1./3.-cb2)*(F*theta_prime+2.*F_prime*theta_b)); /* second-order correction to shear */ - shear_g = (1.-11./6.*dtau_c)*shear_g-11./6.*tau_c*16./45.*tau_c*(theta_prime+metric_shear_prime); - + /* this is modified for idm_g, see 1802.06589 */ + if (pth->has_idm_g == _TRUE_) { + shear_g = (1.-11./6.*dtau_2_idm_g)*shear_g-11./6.*tau_2_idm_g*16./45.*tau_2_idm_g*(theta_prime+metric_shear_prime); + } + else { + shear_g = (1.-11./6.*dtau_c)*shear_g-11./6.*tau_c*16./45.*tau_c*(theta_prime+metric_shear_prime); + } } /** - ---> store tight-coupling values of photon shear and its derivative */ @@ -9559,73 +10504,88 @@ int perturb_tca_slip_and_shear(double * y, ppw->tca_shear_g = shear_g; ppw->tca_slip = slip; - return _SUCCESS_; } -int perturb_rsa_delta_and_theta( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - double k, - double * y, - double a_prime_over_a, - double * pvecthermo, - struct perturb_workspace * ppw - ) { - /* - define local variables */ - +/** + * Compute the density delta and velocity theta of photons and + * ultra-relativistic neutrinos in the radiation streaming + * approximation + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param k Input: wavenumber + * @param y Input: vector of perturbations + * @param a_prime_over_a Input: a'/a + * @param pvecthermo Input: vector of thermodynamics quantites + * @param ppw Input/Output: in input, fixed parameters (e.g. indices); in output, delta and theta + * @param error_message Output: error message + */ + +int perturbations_rsa_delta_and_theta( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct perturbations * ppt, + double k, + double * y, + double a_prime_over_a, + double * pvecthermo, + struct perturbations_workspace * ppw, + ErrorMsg error_message + ) { + /* - define local variables */ + double k2; k2 = k*k; - double a2; + double a2 = pow(ppw->pvecback[pba->index_bg_a],2.); - a2 = pow(ppw->pvecback[pba->index_bg_a],2.); + class_test(ppw->approx[ppw->index_ap_rsa] == (int)rsa_off, + "this function should not have been called now, bug was introduced", + ppt->error_message, + ppt->error_message); // formulas below TBC for curvaturema /* newtonian gauge */ if (ppt->gauge == newtonian) { - if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { - - if (ppr->radiation_streaming_approximation == rsa_null) { - ppw->rsa_delta_g = 0.; - ppw->rsa_theta_g = 0.; - } - else { + if (ppr->radiation_streaming_approximation == rsa_null) { + ppw->rsa_delta_g = 0.; + ppw->rsa_theta_g = 0.; + } + else { + ppw->rsa_delta_g = -4.*y[ppw->pv->index_pt_phi]; + ppw->rsa_theta_g = 6.*ppw->pvecmetric[ppw->index_mt_phi_prime]; + } - ppw->rsa_delta_g = -4.*y[ppw->pv->index_pt_phi]; + if (ppr->radiation_streaming_approximation == rsa_MD_with_reio) { - ppw->rsa_theta_g = 6.*ppw->pvecmetric[ppw->index_mt_phi_prime]; - } + ppw->rsa_delta_g += + -4./k2*ppw->pvecthermo[pth->index_th_dkappa]*y[ppw->pv->index_pt_theta_b]; - if (ppr->radiation_streaming_approximation == rsa_MD_with_reio) { + ppw->rsa_theta_g += + 3./k2*(ppw->pvecthermo[pth->index_th_ddkappa]*y[ppw->pv->index_pt_theta_b] + +ppw->pvecthermo[pth->index_th_dkappa]* + (-a_prime_over_a*y[ppw->pv->index_pt_theta_b] + +ppw->pvecthermo[pth->index_th_cb2]*k2*y[ppw->pv->index_pt_delta_b] + +k2*y[ppw->pv->index_pt_phi])); + } - ppw->rsa_delta_g += - -4./k2*ppw->pvecthermo[pth->index_th_dkappa]*y[ppw->pv->index_pt_theta_b]; + if (pba->has_ur == _TRUE_) { - ppw->rsa_theta_g += - 3./k2*(ppw->pvecthermo[pth->index_th_ddkappa]*y[ppw->pv->index_pt_theta_b] - +ppw->pvecthermo[pth->index_th_dkappa]* - (-a_prime_over_a*y[ppw->pv->index_pt_theta_b] - +ppw->pvecthermo[pth->index_th_cb2]*k2*y[ppw->pv->index_pt_delta_b] - +k2*y[ppw->pv->index_pt_phi])); + if (ppr->radiation_streaming_approximation == rsa_null) { + ppw->rsa_delta_ur = 0.; + ppw->rsa_theta_ur = 0.; } - - if (pba->has_ur == _TRUE_) { - - if (ppr->radiation_streaming_approximation == rsa_null) { - ppw->rsa_delta_ur = 0.; - ppw->rsa_theta_ur = 0.; - } - else { - ppw->rsa_delta_ur = -4.*y[ppw->pv->index_pt_phi]; - ppw->rsa_theta_ur = 6.*ppw->pvecmetric[ppw->index_mt_phi_prime]; - } + else { + ppw->rsa_delta_ur = -4.*y[ppw->pv->index_pt_phi]; + ppw->rsa_theta_ur = 6.*ppw->pvecmetric[ppw->index_mt_phi_prime]; } } } @@ -9633,37 +10593,31 @@ int perturb_rsa_delta_and_theta( /* synchronous gauge */ if (ppt->gauge == synchronous) { - if (ppw->approx[ppw->index_ap_rsa] == (int)rsa_on) { + if (ppr->radiation_streaming_approximation == rsa_null) { + ppw->rsa_delta_g = 0.; + ppw->rsa_theta_g = 0.; + } + else { - if (ppr->radiation_streaming_approximation == rsa_null) { - ppw->rsa_delta_g = 0.; - ppw->rsa_theta_g = 0.; + if (pba->has_smg == _TRUE_) { + ppw->rsa_delta_g = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + -k2*y[ppw->pv->index_pt_eta] + +9./2.*a2*ppw->pvecmetric[ppw->index_mt_rsa_p_smg]); } else { + ppw->rsa_delta_g = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + -k2*y[ppw->pv->index_pt_eta]); + } - /* If smg correct gamma density */ - if (pba->has_smg == _TRUE_) { - ppw->rsa_delta_g = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] - -k2*y[ppw->pv->index_pt_eta] - +9./2.*a2*ppw->pvecmetric[ppw->index_mt_rsa_p_smg]); - } - else { - ppw->rsa_delta_g = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] - -k2*y[ppw->pv->index_pt_eta]); - } - - ppw->rsa_theta_g = -0.5*ppw->pvecmetric[ppw->index_mt_h_prime]; - + ppw->rsa_theta_g = -0.5*ppw->pvecmetric[ppw->index_mt_h_prime]; } - if (ppr->radiation_streaming_approximation == rsa_MD_with_reio) { + if (ppr->radiation_streaming_approximation == rsa_MD_with_reio) { - ppw->rsa_delta_g += - -4./k2*ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_b]+0.5*ppw->pvecmetric[ppw->index_mt_h_prime]); + ppw->rsa_delta_g += + -4./k2*ppw->pvecthermo[pth->index_th_dkappa]*(y[ppw->pv->index_pt_theta_b]+0.5*ppw->pvecmetric[ppw->index_mt_h_prime]); - /* If smg correct gamma theta */ if (pba->has_smg == _TRUE_) { - ppw->rsa_theta_g += 3./k2*(ppw->pvecthermo[pth->index_th_ddkappa]* (y[ppw->pv->index_pt_theta_b] @@ -9676,1114 +10630,112 @@ int perturb_rsa_delta_and_theta( -9./2.*a2*ppw->pvecmetric[ppw->index_mt_rsa_p_smg])); } else { - ppw->rsa_theta_g += 3./k2*(ppw->pvecthermo[pth->index_th_ddkappa]* - (y[ppw->pv->index_pt_theta_b] - +0.5*ppw->pvecmetric[ppw->index_mt_h_prime]) - +ppw->pvecthermo[pth->index_th_dkappa]* - (-a_prime_over_a*y[ppw->pv->index_pt_theta_b] - + ppw->pvecthermo[pth->index_th_cb2]*k2*y[ppw->pv->index_pt_delta_b] - -a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] - +k2*y[ppw->pv->index_pt_eta])); + (y[ppw->pv->index_pt_theta_b] + +0.5*ppw->pvecmetric[ppw->index_mt_h_prime]) + +ppw->pvecthermo[pth->index_th_dkappa]* + (-a_prime_over_a*y[ppw->pv->index_pt_theta_b] + + ppw->pvecthermo[pth->index_th_cb2]*k2*y[ppw->pv->index_pt_delta_b] + -a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + +k2*y[ppw->pv->index_pt_eta])); } - - } - - if (pba->has_ur == _TRUE_) { - - if (ppr->radiation_streaming_approximation == rsa_null) { - ppw->rsa_delta_ur = 0.; - ppw->rsa_theta_ur = 0.; - } - else { - ppw->rsa_delta_ur = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] - -k2*y[ppw->pv->index_pt_eta]); - ppw->rsa_theta_ur = -0.5*ppw->pvecmetric[ppw->index_mt_h_prime]; - - /* If smg correct ur density */ - if (pba->has_smg == _TRUE_) { - ppw->rsa_delta_ur = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] - -k2*y[ppw->pv->index_pt_eta] - +9./2.*a2*ppw->pvecmetric[ppw->index_mt_rsa_p_smg]); - } - } - } - } - } - - return _SUCCESS_; - -} - -int perturb_test_at_k_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau, - int *approx) { - - //Define local variables - double * pvecback; - int first_index_back; - - class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); - class_call(background_at_tau(pba, - tau, - pba->normal_info, - pba->inter_normal, - &first_index_back, - pvecback), - pba->error_message, - ppt->error_message); - - double bra = pvecback[pba->index_bg_braiding_smg]; - double rho_ur = pvecback[pba->index_bg_rho_ur]; - double rho_g = pvecback[pba->index_bg_rho_g]; - double a = pvecback[pba->index_bg_a]; - double H = pvecback[pba->index_bg_H]; - double l8 = pvecback[pba->index_bg_lambda_8_smg]; - double cs2num = pvecback[pba->index_bg_cs2num_smg]; - double D = pvecback[pba->index_bg_kinetic_D_smg]; - - //Get mass2 and rad2 - double mass2 = 2.*(cs2num*pow(k/(a*H),2) - 4.*l8)/(2. - bra)/D; - double rad2 = 3.*mass2*pow((a*H/k)*H*H/(rho_g + rho_ur),2); - - double tau_fd; - short proposal; - - class_call(background_tau_of_z(pba, - ppr->z_fd_qs_smg, - &tau_fd), - pba->error_message, - ppt->error_message); - //Approximation - if ((mass2 > pow(ppr->trigger_mass_qs_smg,2)) && (rad2 > pow(ppr->trigger_rad_qs_smg,2))) { - proposal = 1; - } - else { - proposal = 0; - } - if (tau <= tau_fd) { - *approx = proposal; - } - else { - *approx = 0; - } - - free(pvecback); - - return _SUCCESS_; - -} - -int perturb_test_ini_qs_smg( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k_min, - double k_max, - double a_ini) { - //Define local variables - double * pvecback; - int first_index_back; - double tau; - int approx_k_min, approx_k_max; - - //Get background quantities at a_ini - class_call(background_tau_of_z(pba, - 1./a_ini-1., - &tau), - pba->error_message, - ppt->error_message); - - //Approximation for k_min - perturb_test_at_k_qs_smg( - ppr, - pba, - ppt, - k_min, - tau, - &approx_k_min - ); - - //Approximation for k_max - perturb_test_at_k_qs_smg( - ppr, - pba, - ppt, - k_max, - tau, - &approx_k_max - ); - - class_test_except(approx_k_min != approx_k_max, - ppt->error_message, - free(pvecback), - "\n All the k modes should start evolving with the same type of initial conditions (either fully_dynamic or quasi_static).\n This is not the case at a = %e. Try to decrease a_ini_over_a_today_default.\n", ppr->a_ini_over_a_today_default); - - ppt->initial_approx_qs_smg = approx_k_min; - - free(pvecback); - - return _SUCCESS_; - -} - -int perturb_find_scheme_qs_smg( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau_ini, - double tau_end, - double * tau_export - ) { - - int size_sample = ppr->n_max_qs_smg; - - double * tau_sample; - double * mass2_sample; - double * rad2_sample; - double * slope_sample; - - class_alloc(tau_sample,size_sample*sizeof(double),ppt->error_message); - class_alloc(mass2_sample,size_sample*sizeof(double),ppt->error_message); - class_alloc(rad2_sample,size_sample*sizeof(double),ppt->error_message); - class_alloc(slope_sample,size_sample*sizeof(double),ppt->error_message); - - /** - * Input: background table - * Output: sample of the time, mass, decaying rate of the oscillations (slope) - * and radiation density. - **/ - sample_mass_qs_smg( - ppr, - pba, - ppt, - k, - tau_ini, - tau_end, - tau_sample, - mass2_sample, - rad2_sample, - slope_sample, - &size_sample - ); - - - int * approx_sample; - - class_alloc(approx_sample,size_sample*sizeof(int),ppt->error_message); - - /** - * Input: sample of the time, mass and radiation density - * Output: sample of the approx scheme - **/ - mass_to_approx_qs_smg( - ppr, - pba, - ppt, - tau_ini, - tau_end, - tau_sample, - mass2_sample, - rad2_sample, - approx_sample, - size_sample - ); - - free(mass2_sample); - free(rad2_sample); - - - double * tau_array; - double * slope_array; - int * approx_array; - int size_array = size_sample; - - class_alloc(tau_array,size_array*sizeof(double),ppt->error_message); - class_alloc(slope_array,size_array*sizeof(double),ppt->error_message); - class_alloc(approx_array,size_array*sizeof(int),ppt->error_message); - - /** - * Input: sample of the time, slope and approximation scheme - * at small time interval - * Output: arrays containing the time, the slope and the approximation - * scheme only when it changes - **/ - shorten_first_qs_smg( - tau_sample, - slope_sample, - approx_sample, - size_sample, - tau_array, - slope_array, - approx_array, - &size_array, - tau_end - ); - - free(tau_sample); - free(slope_sample); - free(approx_sample); - - /** - * Input: arrays with time, slope and approximation schemes - * Output: arrays with time and approximation scheme corrected with the slope - **/ - correct_with_slope_qs_smg( - ppr, - pba, - ppt, - tau_ini, - tau_end, - tau_array, - slope_array, - approx_array, - size_array - ); - - free(slope_array); - - double * tau_scheme; - int * approx_scheme; - int size_scheme = size_array; - - class_alloc(tau_scheme,size_scheme*sizeof(double),ppt->error_message); - class_alloc(approx_scheme,size_scheme*sizeof(int),ppt->error_message); - - /** - * Input: arrays of time and approximation after correcting with the slope - * (there is the possibility that the same number in approx_array is repeated) - * Output: shortened arrays of time and approximation - **/ - shorten_second_qs_smg( - tau_array, - approx_array, - size_array, - tau_scheme, - approx_scheme, - &size_scheme - ); - - free(tau_array); - free(approx_array); - - /** - * Input: real approx_scheme and tau_scheme - * Output: approx scheme (tau_export) adjusted to fit the implemented one - **/ - fit_real_scheme_qs_smg( - tau_end, - approx_scheme, - tau_scheme, - size_scheme, - tau_export - ); - - free(tau_scheme); - free(approx_scheme); - -// // DEBUG: Initial and final times -// printf("6 - Interval tau = {%.1e, %.1e}\n", tau_ini, tau_end); -// printf("7 - k mode = {%.1e}\n", k); - - - return _SUCCESS_; - -} - - -int sample_mass_qs_smg( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double k, - double tau_ini, - double tau_end, - double * tau_sample, - double * mass2_sample, - double * rad2_sample, - double * slope_sample, - int *size_sample) { - - /* Definition of local variables */ - double mass2, mass2_p, rad2, friction, slope; - double tau = tau_ini; - double delta_tau = (tau_end - tau_ini)/ppr->n_max_qs_smg; - double * pvecback; - int first_index_back; - int count = 0; - - - /* Scan the time evolution and build several arrays containing - * interesting quantities for the quasi-static approximation */ - while (tau < tau_end) { - - class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); - class_call(background_at_tau(pba, - tau, - pba->normal_info, - pba->inter_normal, - &first_index_back, - pvecback), - pba->error_message, - ppt->error_message); - - double bra = pvecback[pba->index_bg_braiding_smg]; - double bra_p = pvecback[pba->index_bg_braiding_prime_smg]; - - double rho_tot = pvecback[pba->index_bg_rho_tot_wo_smg]; - double p_tot = pvecback[pba->index_bg_p_tot_wo_smg]; - double rho_smg = pvecback[pba->index_bg_rho_smg]; - double p_smg = pvecback[pba->index_bg_p_smg]; - double rho_ur = pvecback[pba->index_bg_rho_ur]; - double rho_g = pvecback[pba->index_bg_rho_g]; - - double a = pvecback[pba->index_bg_a]; - double H = pvecback[pba->index_bg_H]; - - double l7 = pvecback[pba->index_bg_lambda_7_smg]; - double l8 = pvecback[pba->index_bg_lambda_8_smg]; - double l8_p = pvecback[pba->index_bg_lambda_8_prime_smg]; - - double cs2num = pvecback[pba->index_bg_cs2num_smg]; - double cs2num_p = pvecback[pba->index_bg_cs2num_prime_smg]; - double D = pvecback[pba->index_bg_kinetic_D_smg]; - double D_p = pvecback[pba->index_bg_kinetic_D_prime_smg]; - - mass2 = 2.*(cs2num*pow(k/(a*H),2) - 4.*l8)/(2. - bra)/D; - - mass2_p = 2.*(4.*(D_p/D - bra_p/(2. - bra))*l8 - 4.*l8_p + (cs2num_p - (D_p/D - bra_p/(2. - bra))*cs2num + (rho_tot + rho_smg + 3.*(p_tot + p_smg))*cs2num*a/H)*pow(k/(a*H),2))/(2. - bra)/D; - - rad2 = 3.*mass2*pow((a*H/k)*H*H/(rho_g + rho_ur),2); - - friction = 8.*pow(2.-bra,-1)*pow(D,-1)*l7; - - slope = (-1. + 2.*friction - 3.*(p_tot + p_smg)/(rho_tot + rho_smg) + mass2_p/(mass2*a*H))/4.; - -// DEBUG: To debug uncomment this and define a convenient function of time for each of these quantities -// double x = (tau - tau_ini)/(tau_end - tau_ini); -// mass2 = 1.5 + cos(10*_PI_*x); -// rad2 = 1.; -// slope = 1.; - - tau_sample[count] = tau; - mass2_sample[count] = mass2; - rad2_sample[count] = rad2; - slope_sample[count] = slope; - - delta_tau = fabs(2.*mass2/mass2_p)/sqrt(ppr->n_min_qs_smg*ppr->n_max_qs_smg); - delta_tau = MIN(delta_tau, (tau_end - tau_ini)/ppr->n_min_qs_smg); - delta_tau = MAX(delta_tau, (tau_end - tau_ini)/ppr->n_max_qs_smg); - - tau += delta_tau; - count += 1; - - free(pvecback); - -} - - *size_sample = count; - - return _SUCCESS_; - -} - - -int mass_to_approx_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double tau_ini, - double tau_end, - double * tau_sample, - double * mass2_sample, - double * rad2_sample, - int * approx_sample, - int size_sample - ) { - - - // Convert the input parameter z_fd into the corresponding conformal time - double tau_fd; - short proposal; - - class_call(background_tau_of_z(pba, - ppr->z_fd_qs_smg, - &tau_fd), - pba->error_message, - ppt->error_message); - - int i; - for (i = 0; i < size_sample; i++) { - - if ((mass2_sample[i] > pow(ppr->trigger_mass_qs_smg,2)) && (rad2_sample[i] > pow(ppr->trigger_rad_qs_smg,2))) { - proposal = 1; - } - else { - proposal = 0; - } - - if (tau_sample[i] <= tau_fd) { - approx_sample[i] = proposal; - } - else { - approx_sample[i] = 0; } - } - - return _SUCCESS_; - -} - - -int shorten_first_qs_smg(double * tau_sample, - double * slope_sample, - int * approx_sample, - int size_sample, - double * tau_array, - double * slope_array, - int * approx_array, - int *size_array, - double tau_end) { - - int i, j, count = 0; - int last_switch = 0; - int this_switch = 0; - double slope_weighted; - - tau_array[0] = tau_sample[0]; - approx_array[0] = approx_sample[0]; - - for (i = 1; i < size_sample; i++) { - if (approx_sample[i] != approx_array[count]) { - - count += 1; - // Shorten approximation scheme - approx_array[count] = approx_sample[i]; - - // Shorten time - if (approx_array[count-1] < approx_array[count]) { - this_switch = i; - } - else { - this_switch = i-1; - } - tau_array[count] = tau_sample[this_switch]; - - // Shorten slope - slope_weighted = 0.; - for (j = last_switch; j < this_switch; j++) { - slope_weighted += slope_sample[j]*(tau_sample[j+1] - tau_sample[j]); - } - slope_array[count -1] = slope_weighted/(tau_sample[this_switch] - tau_sample[last_switch]); - last_switch = this_switch; - } - } - - // Shorten slope last element - slope_weighted = 0.; - for (i = last_switch; i < size_sample-1; i++) { - slope_weighted += slope_sample[i]*(tau_sample[i+1] - tau_sample[i]); - } - slope_array[count] = (slope_weighted + slope_sample[size_sample-1]*(tau_end - tau_sample[size_sample-1]))/(tau_end - tau_sample[last_switch]); - - *size_array = count + 1; - - return _SUCCESS_; - -} - - -int correct_with_slope_qs_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - double tau_ini, - double tau_end, - double * tau_array, - double * slope_array, - int * approx_array, - int size_array) { - - - double * pvecback; - int first_index_back; - int i, j, count; - for (i = 1; i < size_array; i++) { - if ((approx_array[i-1] == 0) && (approx_array[i] == 1)) { - - // Routine to calculate the time interval necessary to relax the oscillations - class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); - class_call(background_at_tau(pba, - tau_array[i], - pba->short_info, - pba->inter_normal, - &first_index_back, - pvecback), - pba->error_message, - ppt->error_message); - - double a_final = pvecback[pba->index_bg_a] * pow(ppr->eps_s_qs_smg, -1./slope_array[i]); - double tau_final; - - class_call(background_tau_of_z(pba, - 1./a_final-1., - &tau_final), - pba->error_message, - ppt->error_message); - - double delta_tau = tau_final - tau_array[i]; - - // Adjust time and approx to take into account the oscillations - double next_tau; - if (i+1has_ur == _TRUE_) { - if (tau_array[i] + delta_tau < next_tau) { - tau_array[i] += delta_tau; + if (ppr->radiation_streaming_approximation == rsa_null) { + ppw->rsa_delta_ur = 0.; + ppw->rsa_theta_ur = 0.; } else { - approx_array[i] = 0; - } - - free(pvecback); - } - } + ppw->rsa_delta_ur = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + -k2*y[ppw->pv->index_pt_eta]); + ppw->rsa_theta_ur = -0.5*ppw->pvecmetric[ppw->index_mt_h_prime]; - return _SUCCESS_; - -} - - -int shorten_second_qs_smg(double * tau_array, - int * approx_array, - int size_array, - double * tau_scheme, - int * approx_scheme, - int *size_scheme) { - - tau_scheme[0] = tau_array[0]; - approx_scheme[0] = approx_array[0]; - int i, j = 0; - - for (i = 0; i < size_array; i++) { - if (approx_array[i] != approx_scheme[j]) { - j += 1; - approx_scheme[j] = approx_array[i]; - tau_scheme[j] = tau_array[i]; - } - } - - *size_scheme = j + 1; - - return _SUCCESS_; - -} - - -int fit_real_scheme_qs_smg( - double tau_end, - int * approx_scheme, - double * tau_scheme, - int size_scheme, - double * tau_export - ) { - - /* Definition of local variables */ - int implemented_scheme[] = _VALUES_QS_SMG_FLAGS_; - int size_implemented_scheme = sizeof(implemented_scheme)/sizeof(int); - - int i, j; - int start_position = 0; - short scheme_fits = _FALSE_; - -// // DEBUG: print the implemented scheme -// int count; -// printf("1 - Implemented scheme = {"); -// for (count = 0; count < size_implemented_scheme; count++) { -// printf("%d", implemented_scheme[count]); -// if (count < size_implemented_scheme - 1) { -// printf(", "); -// } -// } -// printf("}\n"); -// // DEBUG: print the real scheme -// printf("2 - Real scheme = {"); -// for (count = 0; count < size_scheme; count++) { -// printf("%d", approx_scheme[count]); -// if (count < size_scheme - 1) { -// printf(", "); -// } -// } -// printf("}\n"); - - - while (scheme_fits == _FALSE_) { - - /* Check if the real approximation scheme fits the implemented one */ - for (i = 0; i < size_implemented_scheme - size_scheme + 1; i++) { - j = 0; - while (j < size_scheme - 1) { - if (approx_scheme[j] == implemented_scheme[i + j]) { - j += 1; - } - else { - break; + if(pba->has_smg == _TRUE_) { + ppw->rsa_delta_ur = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + -k2*y[ppw->pv->index_pt_eta] + +9./2.*a2*ppw->pvecmetric[ppw->index_mt_rsa_p_smg]); } } - if ((j == size_scheme - 1) && (approx_scheme[j] == implemented_scheme[i + j])) { - start_position = i; - scheme_fits = _TRUE_; - break; - } - } - - /* Shorten the real approximation scheme */ - if (scheme_fits == _FALSE_) { - if ((approx_scheme[size_scheme - 2]==0) && (approx_scheme[size_scheme - 1]==1)) { - size_scheme += -1; - } - else if ((approx_scheme[size_scheme - 3]==0) && (approx_scheme[size_scheme - 2]==1) && (approx_scheme[size_scheme - 1]==0)) { - size_scheme += -2; - } } } - /* Generate the vector of times at which the approximation switches */ - for (i = 0; i < size_implemented_scheme; i++) { - tau_export[i] = - 1.; - } + /* update total delta and theta given rsa approximation results */ - for (i = 0; i < size_scheme; i++) { - tau_export[start_position + i] = tau_scheme[i]; - } + ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_g]*ppw->rsa_delta_g; + ppw->delta_p += 1./3.*ppw->pvecback[pba->index_bg_rho_g]*ppw->rsa_delta_g; + ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_g]*ppw->rsa_theta_g; - for (i = start_position + size_scheme; i < size_implemented_scheme; i++) { - tau_export[i] = tau_end + 1.; // The +1 is here to make the final elements larger than everything else + if (pba->has_ur == _TRUE_) { + ppw->delta_rho += ppw->pvecback[pba->index_bg_rho_ur]*ppw->rsa_delta_ur; + ppw->delta_p += 1./3.*ppw->pvecback[pba->index_bg_rho_ur]*ppw->rsa_delta_ur; + ppw->rho_plus_p_theta += 4./3.*ppw->pvecback[pba->index_bg_rho_ur]*ppw->rsa_theta_ur; } -// // DEBUG: print the fitted scheme -// printf("3 - Fitted scheme = {"); -// for (count = 0; count < size_scheme; count++) { -// printf("%d", approx_scheme[count]); -// if (count < size_scheme - 1) { -// printf(", "); -// } -// } -// printf("}\n"); -// // DEBUG: print the real tau switches -// printf("4 - Real tau = {"); -// for (count = 0; count < size_scheme; count++) { -// printf("%.1e", tau_scheme[count]); -// if (count < size_scheme - 1) { -// printf(", "); -// } -// } -// printf("}\n"); -// // DEBUG: print the tau switches after the fitting -// printf("5 - Fitted tau = {"); -// for (count = 0; count < size_implemented_scheme; count++) { -// printf("%.1e", tau_export[count]); -// if (count < size_implemented_scheme - 1) { -// printf(", "); -// } -// } -// printf("}\n"); - return _SUCCESS_; + } -/* - * Test for stability of solutions in RD before initialisation of - * perturbations: if standard solution not stable, cannot set ICs properly. +/** + * Compute the density delta and velocity theta of interacting dark + * radiation in its streaming approximation + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermodynamics structure + * @param ppt Input: pointer to perturbation structure + * @param k Input: wavenumber + * @param y Input: vector of perturbations + * @param a_prime_over_a Input: a'/a + * @param pvecthermo Input: vector of thermodynamics quantites + * @param ppw Input/Output: in input, fixed parameters (e.g. indices); in output, delta and theta + * @param error_message Output: error message */ -int perturb_test_ini_grav_ic_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt){ -// test stability of gravitating_attr ICs - - double kin, bra, run, ten, DelM2, Omx, wx; - double c3, c2, c1,c0, den1, den2, ic_regulator_smg; - double tau_ini, z_ref; - int i; - double fastest_growth, wouldbe_adiab; - double * pvecback; - int first_index_back; - double sols[3]; - int complex; - - class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); - - z_ref = ppr->pert_ic_ini_z_ref_smg; - class_call(background_tau_of_z(pba, z_ref,&tau_ini), - pba->error_message, - ppt->error_message); - - class_call(background_at_tau(pba, - tau_ini, - pba->long_info, - pba->inter_normal, - &first_index_back, - pvecback), - pba->error_message, - ppt->error_message); - - // define alphas - wx = pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg]; - Omx = pvecback[pba->index_bg_rho_smg]/pow(pvecback[pba->index_bg_H],2); - kin = pvecback[pba->index_bg_kineticity_smg]; - bra = pvecback[pba->index_bg_braiding_smg]; - run = pvecback[pba->index_bg_mpl_running_smg]; - ten = pvecback[pba->index_bg_tensor_excess_smg]; - DelM2 = pvecback[pba->index_bg_delta_M2_smg];//M2-1 - - /* Determine the solutions - * - * h = C * tau^2+x - * - * where n is the solution of - * - * c3 x^3 + c2 x^2 + c1 x + c0 = 0 - * - * Note: if complex solutions then take the real part for the test - * These solutions are exact when run=0. If not, then they are approximate. - * These coefficients were obtain by solving the radiation+smg system - * to obtain a 5th-order ODE for h. Removing two gauge modes, leaves - * a cubic with three solutions relevant in the k->0 limit. - * Note that we approximate the ci to O(run). - */ - - // Note: The denominators in the expressions below can be zero. We try to trap this and regulate. - // We assume that M*^2>0 and D>0 which are tested for in the background routine. - // Doing this gives wrong ICs, but it's better than segmentation faults. - - ic_regulator_smg = ppr->pert_ic_regulator_smg; // read in the minimum size that will get regulated - ic_regulator_smg *= fabs(kin)+fabs(bra)+fabs(ten); // scale it relative to the alphas - - c3 = 1.; - - c2 = 5. + 2.*run; - - den1 = (3.*bra*ten + kin*(2. + ten)); - - if(ic_regulator_smg>0 &&(fabs(den1)0 &&(fabs(den2)0 && (fabs(den2)0 && (fabs(den2)gauge == newtonian) { - // Solve cubic to find the three solutions - rf_solve_poly_3(c3,c2,c1,c0,sols,&complex); + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on) { - if (ppt->perturbations_verbose > 1){ - printf("\nGravitating attractor ICs give growing modes at z=%e: \n (Approximate) polynomial",z_ref); - printf(" solutions h ~ (k_tau)^n (complex = %i) with exponents: \n",complex); - } + ppw->rsa_delta_idr = -4.*y[ppw->pv->index_pt_phi]; + ppw->rsa_theta_idr = 6.*ppw->pvecmetric[ppw->index_mt_phi_prime]; - fastest_growth = sols[0]; //want fastest - wouldbe_adiab = sols[0]; //want closest to zero - for (i=0; i<3;i+=1){ - if (sols[i] > fastest_growth){ - fastest_growth = sols[i] ; - } - if (fabs(sols[i]) < fabs(wouldbe_adiab)){ - wouldbe_adiab = sols[i]; - } - if (ppt->perturbations_verbose > 1){ - printf(" n_%i = %f\n",i, 2+sols[i]); } } - if (ppt->perturbations_verbose > 1){ - printf(" fastest growing mode n = %f\n",2+fastest_growth); - printf(" mode closest to standard adiabatic solution, n=%f\n",2+wouldbe_adiab); - printf(" omx = %e, dM* = %e\n",Omx,DelM2); - } - - // Check that would-be adiabatic mode is actually the fastest mode, otherwise - // the would-be adiabatic attractor destabilises to the fastest mode, i.e. we cannot assume that the curvature was - // conserved between inflation and the beginning of hi_class and therefore there is no - // relation between the inflational amplitude A_S and the parameter we use for normalisation of curvature. - - /* We don't need this: te closest to zero mode actually conserves eta/zeta in any case - class_test_except(ppr->pert_ic_tolerance_smg>0 && (fabs(wouldbe_adiab) > ppr->pert_ic_tolerance_smg), - ppt->error_message, - free(pvecback), - "\n Cannot set initial conditions for early_smg: adiabatic mode h ~ tau^2 lost, h ~ tau^n with n = %f",2+wouldbe_adiab); - */ - - if (fabs(fastest_growth)>fabs(wouldbe_adiab)){ - class_test_except(ppr->pert_ic_tolerance_smg>0 && (fabs(fastest_growth) > ppr->pert_ic_tolerance_smg), - ppt->error_message, - free(pvecback), - "\n Cannot set initial conditions for early_smg:\n There does exist a mode where curvature is conserved n=%f, but solution destabilises to a faster-growing non-conserving mode with n=%f.",2+wouldbe_adiab,2+fastest_growth); - } - - free(pvecback); - - // If we get here, then initialise modes and evolve them! - - return _SUCCESS_; - -} - -/* - * Test for tachyonic instability of Vx in RD before initialisation of - * perturbations: if not stable, cannot set ICs properly. - */ -int perturb_test_ini_extfld_ic_smg(struct precision * ppr, - struct background * pba, - struct perturbs * ppt){ - - double kin, bra, run, ten, DelM2, Omx, wx; - double l1,l2, l3, l4,l5,l6,l7,l8, cs2num, Dd; - double B1_smg, B2_smg; - double tau_ini, z_ref; - double vx_growth_smg; - double * pvecback; - int first_index_back; - - class_alloc(pvecback,pba->bg_size*sizeof(double),ppt->error_message); + if (ppt->gauge == synchronous) { - z_ref = ppr->pert_ic_ini_z_ref_smg; + if (ppw->approx[ppw->index_ap_rsa_idr] == (int)rsa_idr_on) { - class_call(background_tau_of_z(pba, z_ref,&tau_ini), - pba->error_message, - ppt->error_message); - - class_call(background_at_tau(pba, - tau_ini, - pba->long_info, - pba->inter_normal, - &first_index_back, - pvecback), - pba->error_message, - ppt->error_message); + ppw->rsa_delta_idr = 4./k2*(a_prime_over_a*ppw->pvecmetric[ppw->index_mt_h_prime] + -k2*y[ppw->pv->index_pt_eta]); + ppw->rsa_theta_idr = -0.5*ppw->pvecmetric[ppw->index_mt_h_prime]; - // look up alphas etc. at z_ref - wx = pvecback[pba->index_bg_p_smg]/pvecback[pba->index_bg_rho_smg]; - Omx = pvecback[pba->index_bg_rho_smg]/pow(pvecback[pba->index_bg_H],2); - kin = pvecback[pba->index_bg_kineticity_smg]; - bra = pvecback[pba->index_bg_braiding_smg]; - run = pvecback[pba->index_bg_mpl_running_smg]; - ten = pvecback[pba->index_bg_tensor_excess_smg]; - DelM2 = pvecback[pba->index_bg_delta_M2_smg];//M2-1 - l1 = pvecback[pba->index_bg_lambda_1_smg]; - l2 = pvecback[pba->index_bg_lambda_2_smg]; - l3 = pvecback[pba->index_bg_lambda_3_smg]; - l4 = pvecback[pba->index_bg_lambda_4_smg]; - l5 = pvecback[pba->index_bg_lambda_5_smg]; - l6 = pvecback[pba->index_bg_lambda_6_smg]; - l7 = pvecback[pba->index_bg_lambda_7_smg]; - l8 = pvecback[pba->index_bg_lambda_8_smg]; - cs2num = pvecback[pba->index_bg_cs2num_smg]; - Dd = pvecback[pba->index_bg_kinetic_D_smg]; - - B1_smg = (bra/Dd)*(bra/(2.*(-2 + bra)*(kin + l1)))*((-6 + kin)*l1 + 3*l4); - B1_smg += (3*pow(bra,3))*(l1/Dd)/(2.*(-2 + bra)*(kin + l1)); - B1_smg += 2*(cs2num/Dd)*(3*bra*kin + pow(kin,2) - 3*l4)/(2.*(-2. + bra)*(kin + l1)); - B1_smg += 2*(3*l2*l4/Dd + (kin/Dd)*(l1*l2 - 8*l7) - 8*l1/Dd*l7)/(2.*(-2 + bra)*(kin + l1)); - B1_smg -= 2*(bra/Dd)*((kin*l1/(kin + l1) - 3*l1*l2/(kin + l1) + 3*l4/(kin + l1))/(2.*(-2 + bra))); - - B2_smg = 8*(1 + DelM2)*(3*l2*l6/Dd + 4*kin*l8/Dd); - B2_smg += 4*(l1/Dd)*(8*(1 + DelM2)*l8 + l2*(12 - 12*Omx + (1 + DelM2)*(-12 + kin + Omx*(3 - 9*wx)))); - B2_smg += 2*(bra/Dd)*bra*(6*(1 + DelM2)*l6 + l1*(12 - 12*Omx + (1 + DelM2)*(-30 + kin + 6*Omx*(1 - 3*wx)))); - B2_smg += 3*pow(bra,3)*(1 + DelM2)*(l1/Dd)*(6 + Omx*(-1 + 3*wx)); - B2_smg += 2*(cs2num/Dd)*(2*(1 + DelM2)*pow(kin,2) - 12*(1 + DelM2)*l6 + 3*kin*(8 - 8*Omx + (1 + DelM2)*(-8 + Omx*(2 - 6*wx) + bra*(6 + Omx*(-1 + 3*wx))))); - B2_smg -= 2*(bra/Dd)*(12*(1 + DelM2)*l6 + l1*(24 - 24*Omx + (1 + DelM2)*(2*kin - 3*(8 + 2*Omx*(-1 + 3*wx) + l2*(6 + Omx*(-1 + 3*wx)))))); - B2_smg /= (4.*(-2 + bra)*(1 + DelM2)*(kin + l1)); - - vx_growth_smg = 0.5*(1.-B1_smg); - - if (1.-2.*B1_smg + B1_smg*B1_smg -4.*B2_smg >=0){ - vx_growth_smg += 0.5*sqrt(1. -2.*B1_smg + B1_smg*B1_smg -4.*B2_smg); - } - - if (ppt->perturbations_verbose > 1){ - printf("\nExternal field attractor ICs at z=%e. Standard solution for grav. field, h = (k tau)^2.\n",z_ref); - if(vx_growth_smg<=3){ - printf(" smg evolves on standard attractor in external field with Vx = k^2 tau^3;\n\n"); - } - else{ - printf(" tachyonic instability in smg dominates, Vx = k^2 tau^n with n=%f.\n",vx_growth_smg); - printf(" smg is sensitive to its initial conditions at end of inflation.\n"); } } - class_test_except(ppr->pert_ic_tolerance_smg>0 && (vx_growth_smg > 3.+ppr->pert_ic_tolerance_smg), - ppt->error_message, - free(pvecback), - "\n Cannot set initial conditions for smg: tachyonic instability dominates superhorizon attractor.\n"); - - free(pvecback); - - // If we get here, then initialise modes and evolve them! - return _SUCCESS_; -} - -int calc_extfld_ampl(int nexpo, double kin, double bra, double dbra, double run, double ten, double DelM2, - double Omx, double wx, double l1, double l2, double l3, double l4, - double l5, double l6,double l7,double l8, double cs2num, double Dd, - double ic_regulator_smg, double * amplitude){ - - /* Solutions assuming the alphas are small, i.e. Vx does not gravitate but moves - * on an attractor provided by collapsing radiation. (w!=1/3 terms included properly here!) - // We have already tested for an RD tachyon at z=pert_ic_ini_z_ref_smg and it wasn't there. - * We can thus assume that h has the standard solution (tau^2 for adiabatic) - * and solve the Vx e.o.m. assuming C1=C2=0. - * - * Vx = C1 tau^n1 + C2 tau^n2 + A k^2 tau^n - * - * This requires that if the tachyon has appeared at some later time, the system will be moving into it slowly. - * - * We do not correct any other fields, since it would be inconsistent to include them - * here, but not in the calculation of the exponent. If this is importnant, use gravitating_attr ICs. - * - * - * The on-attractor solution for the scalar velocity Vx is Vx = amplitude * k^2 tau^n * ppr->curvature_ini - * with amplitude = -B3/(6 + 3*B1 + B2). - */ - - - - - // Calculate the amplitude of v_x in ext_field_attr ICs, both for adiabatic and isocurvature - // Since the scalar does not backreact, the different Ad and ISOcurv solutions differ - // only by the exponent in h, h = C*tau^n. The only n-dependent terms are in B3 and amplitude - - - double B1_smg, B2_smg, B3_smg, B3num_smg, B3denom_smg; - double den1, den2, den3, den4, reg_rescaled; - - reg_rescaled = ic_regulator_smg*(fabs(bra)+fabs(kin)+fabs(l1)); //rescale the regulator to be proportional to the alphas - - - den1 = (2.*(-2 + bra)*(kin + l1)); - if(reg_rescaled>0 && (fabs(den1)0 && (fabs(den2)0 && (fabs(den3)0 && (fabs(den4)k_min; /* first value, inferred from perturbations structure */ - k_max = ppt->k_max; /* last value, inferred from perturbations structure */ + if (ppm->has_k_max_for_primordial_pk == _TRUE_){ + k_max = ppm->k_max_for_primordial_pk; /* last value, user-defined (i.e. if specified in .ini file) */ + } + else{ + k_max = ppt->k_max; /* last value, inferred from perturbations structure */ + } class_test(k_min <= 0., ppm->error_message, @@ -458,11 +464,11 @@ int primordial_init( /** - expression for alpha_s comes from: - `ns_2 = (lnpk_plus-lnpk_pivot)/(dlnk)+1` + `ns_2 = (lnpk_plus-lnpk_pivot)/(dlnk)+1` - `ns_1 = (lnpk_pivot-lnpk_minus)/(dlnk)+1` + `ns_1 = (lnpk_pivot-lnpk_minus)/(dlnk)+1` - `alpha_s = dns/dlnk = (ns_2-ns_1)/dlnk = (lnpk_plus-lnpk_pivot-lnpk_pivot+lnpk_minus)/(dlnk)/(dlnk)` + `alpha_s = dns/dlnk = (ns_2-ns_1)/dlnk = (lnpk_plus-lnpk_pivot-lnpk_pivot+lnpk_minus)/(dlnk)/(dlnk)` **/ @@ -485,8 +491,8 @@ int primordial_init( /** - expression for beta_s: - `ppm->beta_s = (alpha_plus-alpha_minus)/dlnk = (lnpk_plusplus-2.*lnpk_plus+lnpk_pivot - - (lnpk_pivot-2.*lnpk_minus+lnpk_minusminus)/pow(dlnk,3)` + `ppm->beta_s = (alpha_plus-alpha_minus)/dlnk = (lnpk_plusplus-2.*lnpk_plus+lnpk_pivot - + (lnpk_pivot-2.*lnpk_minus+lnpk_minusminus)/pow(dlnk,3)` **/ /* Simplification of the beta_s expression: */ @@ -598,7 +604,7 @@ int primordial_free( */ int primordial_indices( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ) { @@ -688,7 +694,7 @@ int primordial_get_lnk_list( */ int primordial_analytic_spectrum_init( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ) { @@ -1127,7 +1133,7 @@ int primordial_inflation_indices( */ int primordial_inflation_solve_inflation( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision *ppr ) { @@ -1433,9 +1439,9 @@ int primordial_inflation_solve_inflation( else if (ppm->behavior == analytical) { class_call_except(primordial_inflation_analytic_spectra(ppt, - ppm, - ppr, - y_ini), + ppm, + ppr, + y_ini), ppm->error_message, ppm->error_message, free(y);free(y_ini);free(dy)); @@ -1510,7 +1516,7 @@ int primordial_inflation_solve_inflation( */ int primordial_inflation_analytic_spectra( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini @@ -1586,80 +1592,27 @@ int primordial_inflation_analytic_spectra( */ int primordial_inflation_spectra( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini ) { int index_k; - /* number of threads (always one if no openmp) */ - int number_of_threads=1; - /* index of the thread (always 0 if no openmp) */ - int thread=0; - - - /* This code can be optionally compiled with the openmp option for parallel computation. - Inside parallel regions, the use of the command "return" is forbidden. - For error management, instead of "return _FAILURE_", we will set the variable below - to "abort = _TRUE_". This will lead to a "return _FAILURE_" just after leaving the - parallel region. */ - int abort; - -#ifdef _OPENMP - /* instrumentation times */ - double tstart, tstop, tspent; -#endif + class_setup_parallel(); + /* loop over Fourier wavenumbers */ + for (index_k=0; index_k < ppm->lnk_size; index_k++) { -#ifdef _OPENMP + class_run_parallel(with_arguments(ppt,ppm,ppr,y_ini,index_k), -#pragma omp parallel - { - number_of_threads = omp_get_num_threads(); + class_call(primordial_inflation_one_wavenumber(ppt,ppm,ppr,y_ini,index_k), + ppm->error_message, + ppm->error_message); + return _SUCCESS_; + ); } -#endif - - abort = _FALSE_; - -#pragma omp parallel shared(ppt,ppm,ppr,abort,y_ini) private(index_k,thread,tspent,tstart,tstop) num_threads(number_of_threads) - - { - -#ifdef _OPENMP - thread = omp_get_thread_num(); - tspent=0.; -#endif - -#pragma omp for schedule (dynamic) - - /* loop over Fourier wavenumbers */ - for (index_k=0; index_k < ppm->lnk_size; index_k++) { -#ifdef _OPENMP - tstart = omp_get_wtime(); -#endif - - class_call_parallel(primordial_inflation_one_wavenumber(ppt,ppm,ppr,y_ini,index_k), - ppm->error_message, - ppm->error_message); - -#ifdef _OPENMP - tstop = omp_get_wtime(); - - tspent += tstop-tstart; -#endif - - } - -#ifdef _OPENMP - if (ppm->primordial_verbose>1) - printf("In %s: time spent in parallel region (loop over k's) = %e s for thread %d\n", - __func__,tspent,thread); -#endif - - } /* end of parallel zone */ - - if (abort == _TRUE_) return _FAILURE_; + class_finish_parallel(); ppm->is_non_zero[ppt->index_md_scalars][ppt->index_ic_ad] = _TRUE_; ppm->is_non_zero[ppt->index_md_tensors][ppt->index_ic_ten] = _TRUE_; @@ -1683,7 +1636,7 @@ int primordial_inflation_spectra( */ int primordial_inflation_one_wavenumber( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm, struct precision * ppr, double * y_ini, @@ -1708,7 +1661,7 @@ int primordial_inflation_one_wavenumber( y[ppm->index_in_dphi] = y_ini[ppm->index_in_dphi]; /** - evolve the background until the relevant initial time for - integrating perturbations */ + integrating perturbations */ class_call(primordial_inflation_evolve_background(ppm, ppr, y, @@ -1722,7 +1675,7 @@ int primordial_inflation_one_wavenumber( ppm->error_message); /** - evolve the background/perturbation equations from this time and - until some time after Horizon crossing */ + until some time after Horizon crossing */ class_call(primordial_inflation_one_k(ppm, ppr, k, @@ -2647,7 +2600,7 @@ int primordial_inflation_find_phi_pivot( sigma_B = 2. * pow(_PI_,5) * pow(_k_B_,4) / 15. / pow(_h_P_,3) / pow(_c_,2); Omega_g0 = (4.*sigma_B/_c_*pow(2.726,4.)) / (3.*_c_*_c_*1.e10*h*h/_Mpc_over_m_/_Mpc_over_m_/8./_PI_/_G_); - Omega_r0 = 3.046*7./8.*pow(4./11.,4./3.)*Omega_g0; + Omega_r0 = 3.044*7./8.*pow(4./11.,4./3.)*Omega_g0; target = log(H0/0.05*pow(Omega_r0,0.5)*pow(2./100.,1./12.)*pow(rho_end/rho_c0,0.25)); @@ -2700,7 +2653,7 @@ int primordial_inflation_find_phi_pivot( case N_star: - class_call(primordial_inflation_evolve_background(ppm, + class_call(primordial_inflation_evolve_background(ppm, ppr, y, dy, @@ -2893,7 +2846,7 @@ int primordial_inflation_find_phi_pivot( case N_star: - class_call(primordial_inflation_evolve_background(ppm, + class_call(primordial_inflation_evolve_background(ppm, ppr, y, dy, @@ -3044,7 +2997,7 @@ int primordial_inflation_find_phi_pivot( /** * Routine returning derivative of system of background/perturbation * variables. Like other routines used by the generic integrator - * (background_derivs, thermodynamics_derivs, perturb_derivs), this + * (background_derivs, thermodynamics_derivs, perturbations_derivs), this * routine has a generic list of arguments, and a slightly different * error management, with the error message returned directly in an * ErrMsg field. @@ -3068,7 +3021,7 @@ int primordial_inflation_derivs( struct primordial_inflation_parameters_and_workspace * ppipaw; struct primordial * ppm; - ppipaw = parameters_and_workspace; + ppipaw = (struct primordial_inflation_parameters_and_workspace *)parameters_and_workspace; ppm = ppipaw->ppm; // a2 @@ -3264,7 +3217,7 @@ int primordial_inflation_derivs( */ int primordial_external_spectrum_init( - struct perturbs * ppt, + struct perturbations * ppt, struct primordial * ppm ) { /** Summary: */ @@ -3274,7 +3227,7 @@ int primordial_external_spectrum_init( char command_with_arguments[2*_ARGUMENT_LENGTH_MAX_]; FILE *process; int n_data_guess, n_data = 0; - double *k = NULL, *pks = NULL, *pkt = NULL, *tmp = NULL; + double *k = NULL, *pks = NULL, *pkt = NULL; double this_k, this_pks, this_pkt; int status; int index_k; @@ -3288,17 +3241,17 @@ int primordial_external_spectrum_init( pkt = (double *)malloc(n_data_guess*sizeof(double)); /* Prepare the command */ /* If the command is just a "cat", no arguments need to be passed */ - if(strncmp("cat ", ppm->command, 4) == 0) { - sprintf(arguments, " "); + if (strncmp("cat ", ppm->command, 4) == 0) { + class_sprintf(arguments, " "); } /* otherwise pass the list of arguments */ else { - sprintf(arguments, " %g %g %g %g %g %g %g %g %g %g", + class_sprintf(arguments, " %g %g %g %g %g %g %g %g %g %g", ppm->custom1, ppm->custom2, ppm->custom3, ppm->custom4, ppm->custom5, ppm->custom6, ppm->custom7, ppm->custom8, ppm->custom9, ppm->custom10); } /* write the actual command in a string */ - sprintf(command_with_arguments, "%s %s", ppm->command, arguments); + class_sprintf(command_with_arguments, "%s %s", ppm->command, arguments); if (ppm->primordial_verbose > 0) printf(" -> running: %s\n",command_with_arguments); @@ -3318,26 +3271,14 @@ int primordial_external_spectrum_init( } /* Standard technique in C: if too many data, double the size of the vectors */ /* (it is faster and safer that reallocating every new line) */ - if((n_data+1) > n_data_guess) { + if ((n_data+1) > n_data_guess) { n_data_guess *= 2; - tmp = (double *)realloc(k, n_data_guess*sizeof(double)); - class_test(tmp == NULL, - ppm->error_message, - "Error allocating memory to read the external spectrum.\n"); - k = tmp; - tmp = (double *)realloc(pks, n_data_guess*sizeof(double)); - class_test(tmp == NULL, - ppm->error_message, - "Error allocating memory to read the external spectrum.\n"); - pks = tmp; + class_realloc(k, n_data_guess*sizeof(double), ppm->error_message); + class_realloc(pks, n_data_guess*sizeof(double), ppm->error_message); if (ppt->has_tensors == _TRUE_) { - tmp = (double *)realloc(pkt, n_data_guess*sizeof(double)); - class_test(tmp == NULL, - ppm->error_message, - "Error allocating memory to read the external spectrum.\n"); - pkt = tmp; - }; - }; + class_realloc(pkt, n_data_guess*sizeof(double), ppm->error_message); + } + } /* Store */ k [n_data] = this_k; pks[n_data] = this_pks; @@ -3346,7 +3287,7 @@ int primordial_external_spectrum_init( } n_data++; /* Check ascending order of the k's */ - if(n_data>1) { + if (n_data>1) { class_test(k[n_data-1] <= k[n_data-2], ppm->error_message, "The k's are not strictly sorted in ascending order, " @@ -3375,24 +3316,19 @@ int primordial_external_spectrum_init( ppm->lnk_size = n_data; /** - Make room */ class_realloc(ppm->lnk, - ppm->lnk, ppm->lnk_size*sizeof(double), ppm->error_message); class_realloc(ppm->lnpk[ppt->index_md_scalars], - ppm->lnpk[ppt->index_md_scalars], ppm->lnk_size*sizeof(double), ppm->error_message); class_realloc(ppm->ddlnpk[ppt->index_md_scalars], - ppm->ddlnpk[ppt->index_md_scalars], ppm->lnk_size*sizeof(double), ppm->error_message); if (ppt->has_tensors == _TRUE_) { class_realloc(ppm->lnpk[ppt->index_md_tensors], - ppm->lnpk[ppt->index_md_tensors], ppm->lnk_size*sizeof(double), ppm->error_message); class_realloc(ppm->ddlnpk[ppt->index_md_tensors], - ppm->ddlnpk[ppt->index_md_tensors], ppm->lnk_size*sizeof(double), ppm->error_message); }; @@ -3423,7 +3359,7 @@ int primordial_external_spectrum_init( return _SUCCESS_; } -int primordial_output_titles(struct perturbs * ppt, +int primordial_output_titles(struct perturbations * ppt, struct primordial * ppm, char titles[_MAXTITLESTRINGLENGTH_] ){ @@ -3435,7 +3371,7 @@ int primordial_output_titles(struct perturbs * ppt, } -int primordial_output_data(struct perturbs * ppt, +int primordial_output_data(struct perturbations * ppt, struct primordial * ppm, int number_of_titles, double *data){ diff --git a/source/spectra.c b/source/spectra.c deleted file mode 100755 index 243ddb73..00000000 --- a/source/spectra.c +++ /dev/null @@ -1,4357 +0,0 @@ -/** @file spectra.c Documented spectra module - * - * Julien Lesgourgues, 25.08.2010 - * - * This module computes the anisotropy and Fourier power spectra - * \f$ C_l^{X}, P(k), ... \f$'s given the transfer and Bessel functions - * (for anisotropy spectra), the source functions (for Fourier spectra) - * and the primordial spectra. - * - * The following functions can be called from other modules: - * - * -# spectra_init() at the beginning (but after transfer_init()) - * -# spectra_cl_at_l() at any time for computing \f$ C_l \f$ at any l - * -# spectra_spectrum_at_z() at any time for computing P(k) at any z - * -# spectra_spectrum_at_k_and z() at any time for computing P at any k and z - * -# spectra_free() at the end - */ - -#include "spectra.h" - - - -int spectra_bandpower(struct spectra * psp, - int l1, - int l2, - double * TT_II, - double * TT_RI, - double * TT_RR - ) { - - int l; - int index_md; - double * cl_tot; - double ** cl_md; - double ** cl_md_ic; - - class_alloc(cl_tot,psp->ct_size*sizeof(double),psp->error_message); - class_alloc(cl_md,psp->md_size*sizeof(double*),psp->error_message); - class_alloc(cl_md_ic,psp->md_size*sizeof(double*),psp->error_message); - for (index_md=0;index_mdmd_size; index_md++) { - class_alloc(cl_md[index_md],psp->ct_size*sizeof(double),psp->error_message); - class_alloc(cl_md_ic[index_md],psp->ct_size*psp->ic_ic_size[index_md]*sizeof(double),psp->error_message); - } - - *TT_RR=0.; - *TT_RI=0.; - *TT_II=0.; - - for (l=l1; l<=l2; l++) { - - class_call(spectra_cl_at_l(psp, - (double)l, - cl_tot, - cl_md, - cl_md_ic), - psp->error_message, - psp->error_message); - - *TT_RR += (double)(2*l+1)*cl_md_ic[psp->index_md_scalars][index_symmetric_matrix(0,0,psp->ic_size[psp->index_md_scalars])*psp->ct_size+psp->index_ct_tt]; - *TT_RI += (double)(2*l+1)*cl_md_ic[psp->index_md_scalars][index_symmetric_matrix(0,1,psp->ic_size[psp->index_md_scalars])*psp->ct_size+psp->index_ct_tt]*2.; - *TT_II += (double)(2*l+1)*cl_md_ic[psp->index_md_scalars][index_symmetric_matrix(1,1,psp->ic_size[psp->index_md_scalars])*psp->ct_size+psp->index_ct_tt]; - - } - - for (index_md=0;index_mdmd_size; index_md++) { - free(cl_md[index_md]); - free(cl_md_ic[index_md]); - } - free(cl_tot); - free(cl_md); - free(cl_md_ic); - - return _SUCCESS_; - -} - -/** - * Anisotropy power spectra \f$ C_l\f$'s for all types, modes and initial conditions. - * - * This routine evaluates all the \f$C_l\f$'s at a given value of l by - * interpolating in the pre-computed table. When relevant, it also - * sums over all initial conditions for each mode, and over all modes. - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param l Input: multipole number - * @param cl_tot Output: total \f$C_l\f$'s for all types (TT, TE, EE, etc..) - * @param cl_md Output: \f$C_l\f$'s for all types (TT, TE, EE, etc..) decomposed mode by mode (scalar, tensor, ...) when relevant - * @param cl_md_ic Output: \f$C_l\f$'s for all types (TT, TE, EE, etc..) decomposed by pairs of initial conditions (adiabatic, isocurvatures) for each mode (usually, only for the scalar mode) when relevant - * @return the error status - */ - -int spectra_cl_at_l( - struct spectra * psp, - double l, - double * cl_tot, /* array with argument cl_tot[index_ct] (must be already allocated) */ - double * * cl_md, /* array with argument cl_md[index_md][index_ct] (must be already allocated only if several modes) */ - double * * cl_md_ic /* array with argument cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] (must be already allocated for a given mode only if several ic's) */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int last_index; - int index_md; - int index_ic1,index_ic2,index_ic1_ic2; - int index_ct; - - /** - (a) treat case in which there is only one mode and one initial condition. - Then, only cl_tot needs to be filled. */ - - if ((psp->md_size == 1) && (psp->ic_size[0] == 1)) { - index_md = 0; - if ((int)l <= psp->l[psp->l_size[index_md]-1]) { - - /* interpolate at l */ - class_call(array_interpolate_spline(psp->l, - psp->l_size[index_md], - psp->cl[index_md], - psp->ddcl[index_md], - psp->ct_size, - l, - &last_index, - cl_tot, - psp->ct_size, - psp->error_message), - psp->error_message, - psp->error_message); - - /* set to zero for the types such that lct_size; index_ct++) - if ((int)l > psp->l_max_ct[index_md][index_ct]) - cl_tot[index_ct]=0.; - } - else { - for (index_ct=0; index_ctct_size; index_ct++) - cl_tot[index_ct]=0.; - } - } - - /** - (b) treat case in which there is only one mode - with several initial condition. - Fill cl_md_ic[index_md=0] and sum it to get cl_tot. */ - - if ((psp->md_size == 1) && (psp->ic_size[0] > 1)) { - index_md = 0; - for (index_ct=0; index_ctct_size; index_ct++) - cl_tot[index_ct]=0.; - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - if (((int)l <= psp->l[psp->l_size[index_md]-1]) && - (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_)) { - - class_call(array_interpolate_spline(psp->l, - psp->l_size[index_md], - psp->cl[index_md], - psp->ddcl[index_md], - psp->ic_ic_size[index_md]*psp->ct_size, - l, - &last_index, - cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size, - psp->error_message), - psp->error_message, - psp->error_message); - - for (index_ct=0; index_ctct_size; index_ct++) - if ((int)l > psp->l_max_ct[index_md][index_ct]) - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]=0.; - } - else { - for (index_ct=0; index_ctct_size; index_ct++) - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]=0.; - } - - /* compute cl_tot by summing over cl_md_ic */ - for (index_ct=0; index_ctct_size; index_ct++) { - if (index_ic1 == index_ic2) - cl_tot[index_ct]+=cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]; - else - cl_tot[index_ct]+=2.*cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]; - } - } - } - } - - /** - (c) loop over modes */ - - if (psp->md_size > 1) { - - for (index_ct=0; index_ctct_size; index_ct++) - cl_tot[index_ct]=0.; - - for (index_md = 0; index_md < psp->md_size; index_md++) { - - /** - --> (c.1.) treat case in which the mode under consideration - has only one initial condition. - Fill cl_md[index_md]. */ - - if (psp->ic_size[index_md] == 1) { - if ((int)l <= psp->l[psp->l_size[index_md]-1]) { - - class_call(array_interpolate_spline(psp->l, - psp->l_size[index_md], - psp->cl[index_md], - psp->ddcl[index_md], - psp->ct_size, - l, - &last_index, - cl_md[index_md], - psp->ct_size, - psp->error_message), - psp->error_message, - psp->error_message); - - for (index_ct=0; index_ctct_size; index_ct++) - if ((int)l > psp->l_max_ct[index_md][index_ct]) - cl_md[index_md][index_ct]=0.; - } - else { - for (index_ct=0; index_ctct_size; index_ct++) - cl_md[index_md][index_ct]=0.; - } - } - - /** - --> (c.2.) treat case in which the mode under consideration - has several initial conditions. - Fill cl_md_ic[index_md] and sum it to get cl_md[index_md] */ - - if (psp->ic_size[index_md] > 1) { - - if ((int)l <= psp->l[psp->l_size[index_md]-1]) { - - /* interpolate all ic and ct */ - class_call(array_interpolate_spline(psp->l, - psp->l_size[index_md], - psp->cl[index_md], - psp->ddcl[index_md], - psp->ic_ic_size[index_md]*psp->ct_size, - l, - &last_index, - cl_md_ic[index_md], - psp->ic_ic_size[index_md]*psp->ct_size, - psp->error_message), - psp->error_message, - psp->error_message); - - /* set to zero some of the components */ - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - for (index_ct=0; index_ctct_size; index_ct++) { - - if (((int)l > psp->l_max_ct[index_md][index_ct]) || (psp->is_non_zero[index_md][index_ic1_ic2] == _FALSE_)) - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]=0.; - } - } - } - } - /* if l was too big, set anyway all components to zero */ - else { - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - for (index_ct=0; index_ctct_size; index_ct++) { - cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]=0.; - } - } - } - } - - /* sum up all ic for each mode */ - - for (index_ct=0; index_ctct_size; index_ct++) { - - cl_md[index_md][index_ct]=0.; - - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - - if (index_ic1 == index_ic2) - cl_md[index_md][index_ct]+=cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]; - else - cl_md[index_md][index_ct]+=2.*cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct]; - } - } - } - } - - /** - --> (c.3.) add contribution of cl_md[index_md] to cl_tot */ - - for (index_ct=0; index_ctct_size; index_ct++) - cl_tot[index_ct]+=cl_md[index_md][index_ct]; - } - } - - return _SUCCESS_; - -} - -/** - * Matter power spectrum for arbitrary redshift and for all initial conditions. - * - * This routine evaluates the matter power spectrum at a given value of z by - * interpolating in the pre-computed table (if several values of z have been stored) - * or by directly reading it (if it only contains values at z=0 and we want P(k,z=0)) - * - * - * Can be called in two modes: linear or logarithmic. - * - * - linear: returns P(k) (units: \f$ Mpc^3\f$) - * - * - logarithmic: returns \f$\ln{P(k)}\f$ - * - * One little subtlety: in case of several correlated initial conditions, - * the cross-correlation spectrum can be negative. Then, in logarithmic mode, - * the non-diagonal elements contain the cross-correlation angle \f$ P_{12}/\sqrt{P_{11} P_{22}}\f$ - * (from -1 to 1) instead of \f$\ln{P_{12}}\f$ - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param mode Input: linear or logarithmic - * @param z Input: redshift - * @param output_tot Output: total matter power spectrum P(k) in \f$ Mpc^3 \f$ (linear mode), or its logarithms (logarithmic mode) - * @param output_ic Output: for each pair of initial conditions, matter power spectra P(k) in \f$ Mpc^3 \f$ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode) - * @param output_cb_tot Output: CDM+baryon power spectrum P_cb(k) in \f$ Mpc^3 \f$ (linear mode), or its logarithms (logarithmic mode) - * @param output_cb_ic Output: for each pair of initial conditions, CDM+baryon power spectra P_cb(k) in \f$ Mpc^3 \f$ (linear mode), or their logarithms and cross-correlation angles (logarithmic mode) - * @return the error status - */ - -int spectra_pk_at_z( - struct background * pba, - struct spectra * psp, - enum linear_or_logarithmic mode, - double z, - double * output_tot, /* array with argument output_tot[index_k] (must be already allocated) */ - double * output_ic, /* array with argument output_tot[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] (must be already allocated only if more than one initial condition) */ - double * output_cb_tot, /* same as output_tot for the baryon+CDM only */ - double * output_cb_ic /* same as output_ic for the baryon+CDM only */ - ) { - - /* JL 21.09.2017: TODO: now, P(k) total is already calculated and - stored in spectra_pk(), in the array psp->pk_l. WE should use - that here too to compute output_tot, inmstead of redoing the sum - over ICs. */ - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int last_index; - int index_k; - double tau,ln_tau; - int index_ic1,index_ic2,index_ic1_ic2; - - index_md = psp->index_md_scalars; - - /** - first step: convert z into \f$\ln{\tau}\f$ */ - - class_call(background_tau_of_z(pba,z,&tau), - pba->error_message, - psp->error_message); - - class_test(tau <= 0., - psp->error_message, - "negative or null value of conformal time: cannot interpolate"); - - ln_tau = log(tau); - - double small_deviation = 1e-10; - class_test(ln_tauln_tau[0]-small_deviation, - psp->error_message, - "requested z was not inside of tau tabulation range (Requested %.10e, Min %.10e) ",ln_tau,psp->ln_tau[0]-small_deviation); - if(ln_tauln_tau[0]){ - //Case of small deviation caused by rounding - ln_tau = psp->ln_tau[0]; - } - class_test(ln_tau>psp->ln_tau[psp->ln_tau_size-1]+small_deviation, - psp->error_message, - "requested z was not inside of tau tabulation range (Requested %.10e, Max %.10e) ",ln_tau,psp->ln_tau[psp->ln_tau_size-1]+small_deviation); - - if(ln_tau>psp->ln_tau[psp->ln_tau_size-1]){ - //Case of small deviation caused by rounding - ln_tau = psp->ln_tau[psp->ln_tau_size-1]; - } - /** - second step: for both modes (linear or logarithmic), store the spectrum in logarithmic format in the output array(s) */ - - /** - --> (a) if only values at tau=tau_today are stored and we want \f$ P(k,z=0)\f$, no need to interpolate */ - - if (psp->ln_tau_size == 1) { - - class_test(z != 0., - psp->error_message, - "asked z=%e but only P(k,z=0) has been tabulated",z); - - for (index_k=0; index_kln_k_size; index_k++) - if (psp->ic_size[index_md] == 1) { - output_tot[index_k] = psp->ln_pk[index_k]; - if(pba->has_ncdm) output_cb_tot[index_k] = psp->ln_pk_cb[index_k]; - } - else { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = - psp->ln_pk[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - if(pba->has_ncdm) - output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = - psp->ln_pk_cb[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]; - } - } - } - - /** - --> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift */ - - else { - - if (psp->ic_ic_size[index_md] == 1) { - - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk, - psp->ddln_pk, - psp->ln_k_size, - ln_tau, - &last_index, - output_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_cb, - psp->ddln_pk_cb, - psp->ln_k_size, - ln_tau, - &last_index, - output_cb_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - } - - } - else { - - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk, - psp->ddln_pk, - psp->ic_ic_size[index_md]*psp->ln_k_size, - ln_tau, - &last_index, - output_ic, - psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_cb, - psp->ddln_pk_cb, - psp->ic_ic_size[index_md]*psp->ln_k_size, - ln_tau, - &last_index, - output_cb_ic, - psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - } - - } - } - - /** - third step: if there are several initial conditions, compute the total P(k) and set back all uncorrelated coefficients to exactly zero. Check positivity of total P(k). */ - - if (psp->ic_size[index_md] > 1) { - for (index_k=0; index_kln_k_size; index_k++) { - output_tot[index_k] = 0.; - if (pba->has_ncdm) output_cb_tot[index_k] = 0.; - for (index_ic1=0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - if (index_ic1 == index_ic2) { - output_tot[index_k] += exp(output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]); - if(pba->has_ncdm) output_cb_tot[index_k] += exp(output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]); - } - else { - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - output_tot[index_k] += - 2. * output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] * - sqrt(exp(output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])]) * - exp(output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])])); - if(pba->has_ncdm){ - output_cb_tot[index_k] += - 2. * output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] * - sqrt(exp(output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])]) * - exp(output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])])); - } - } - else{ - output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = 0.; - if(pba->has_ncdm) output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = 0.; - } - } - } - } - - class_test(output_tot[index_k] <= 0., - psp->error_message, - "for k=%e, z=%e, the matrix of initial condition amplitudes was not positive definite, hence P(k)_total=%e results negative", - exp(psp->ln_k[index_k]),z,output_tot[index_k]); - - if(pba->has_ncdm){ - class_test(output_cb_tot[index_k] <= 0., - psp->error_message, - "for k=%e, z=%e, the matrix of initial condition amplitudes was not positive definite, hence P(k)_cb_total=%e results negative", - exp(psp->ln_k[index_k]),z,output_cb_tot[index_k]); - } - - } - } - - /** - fourth step: depending on requested mode (linear or logarithmic), apply necessary transformation to the output arrays */ - - /** - --> (a) linear mode: if only one initial condition, convert output_tot to linear format; if several initial conditions, convert output_ic to linear format, output_tot is already in this format */ - - if (mode == linear) { - - if (psp->ic_size[index_md] == 1) { - for (index_k=0; index_kln_k_size; index_k++) { - output_tot[index_k] = exp(output_tot[index_k]); - if(pba->has_ncdm) output_cb_tot[index_k] = exp(output_cb_tot[index_k]); - } - } - - else { - for (index_k=0; index_kln_k_size; index_k++) { - for (index_ic1=0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md]); - output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = exp(output_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]); - if(pba->has_ncdm) - output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2] = exp(output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_ic1_ic2]); - } - for (index_ic1=0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1+1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - - output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] = - output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] - *sqrt(output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])] * - output_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - - if(pba->has_ncdm){ - output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] = - output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md])] - *sqrt(output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])] * - output_cb_ic[index_k * psp->ic_ic_size[index_md] + index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - } - - } - } - } - } - } - - /** - --> (b) logarithmic mode: if only one initial condition, nothing to be done; if several initial conditions, convert output_tot to logarithmic format, output_ic is already in this format */ - - else { - - if (psp->ic_size[index_md] > 1) { - for (index_k=0; index_kln_k_size; index_k++) { - /* we have already checked above that output_tot was positive */ - output_tot[index_k] = log(output_tot[index_k]); - if(pba->has_ncdm) output_cb_tot[index_k] = log(output_cb_tot[index_k]); - } - } - } - - return _SUCCESS_; - -} - -/** - * Matter power spectrum for arbitrary wavenumber, redshift and initial condition. - * - * This routine evaluates the matter power spectrum at a given value of k and z by - * interpolating in a table of all P(k)'s computed at this z by spectra_pk_at_z() (when kmin <= k <= kmax), - * or eventually by using directly the primordial spectrum (when 0 <= k < kmin): - * the latter case is an approximation, valid when kmin << comoving Hubble scale today. - * Returns zero when k=0. Returns an error when k<0 or k > kmax. - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param ppm Input: pointer to primordial structure (used only in the case 0 < k < kmin) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param k Input: wavenumber in 1/Mpc - * @param z Input: redshift - * @param pk_tot Output: total matter power spectrum P(k) in \f$ Mpc^3 \f$ - * @param pk_ic Output: for each pair of initial conditions, matter power spectra P(k) in \f$ Mpc^3\f$ - * @param pk_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3 \f$ - * @param pk_cb_ic Output: for each pair of initial conditions, b+CDM power spectra P(k) in \f$ Mpc^3\f$ - * @return the error status - */ - -int spectra_pk_at_k_and_z( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double k, - double z, - double * pk_tot, /* pointer to a single number (must be already allocated) */ - double * pk_ic, /* array of argument pk_ic[index_ic1_ic2] (must be already allocated only if several initial conditions) */ - double * pk_cb_tot, /* same as pk_tot for baryon+CDM part only */ - double * pk_cb_ic /* same as pk_ic for baryon+CDM part only */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int index_k; - int last_index; - int index_ic1,index_ic2,index_ic1_ic2; - - double * spectrum_at_z = NULL; - double * spectrum_at_z_ic = NULL; - double * spline; - double * pk_primordial_k = NULL; - double kmin; - double * pk_primordial_kmin = NULL; - - double * spectrum_cb_at_z = NULL; - double * spectrum_cb_at_z_ic = NULL; - double * spline_cb = NULL; - - index_md = psp->index_md_scalars; - - /** - first step: check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_pk_at_z()) */ - - class_test((k < 0.) || (k > exp(psp->ln_k[psp->ln_k_size-1])), - psp->error_message, - "k=%e out of bounds [%e:%e]",k,0.,exp(psp->ln_k[psp->ln_k_size-1])); - - /** - deal with case 0 <= k < kmin */ - - if (k < exp(psp->ln_k[0])) { - - /** - --> (a) subcase k=0: then P(k)=0 */ - - if (k == 0.) { - if (psp->ic_size[index_md] == 1) { - *pk_tot=0.; - if (pba->has_ncdm) *pk_cb_tot=0.; - } - else { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - pk_ic[index_ic1_ic2] = 0.; - if (pba->has_ncdm) pk_cb_ic[index_ic1_ic2] = 0.; - } - } - } - - /** - --> (b) subcase 0ln_k_size*sizeof(double), - psp->error_message); - class_alloc(spectrum_cb_at_z, - psp->ln_k_size*sizeof(double), - psp->error_message); - if (psp->ic_size[index_md] > 1) { - class_alloc(spectrum_at_z_ic, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - - class_alloc(spectrum_cb_at_z_ic, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - - } - class_call(spectra_pk_at_z(pba, - psp, - linear, - z, - spectrum_at_z, - spectrum_at_z_ic, - spectrum_cb_at_z, - spectrum_cb_at_z_ic), - psp->error_message, - psp->error_message); - - /* compute P_primordial(k) */ - class_alloc(pk_primordial_k, - sizeof(double)*psp->ic_ic_size[index_md], - psp->error_message); - class_call(primordial_spectrum_at_k(ppm, - index_md, - linear, - k, - pk_primordial_k), - ppm->error_message,psp->error_message); - - /* compute P_primordial(kmin) */ - kmin = exp(psp->ln_k[0]); - class_alloc(pk_primordial_kmin, - sizeof(double)*psp->ic_ic_size[index_md], - psp->error_message); - class_call(primordial_spectrum_at_k(ppm, - index_md, - linear, - kmin, - pk_primordial_kmin), - ppm->error_message, - psp->error_message); - - /* apply above analytic approximation for P(k) */ - index_k=0; - if (psp->ic_size[index_md] == 1) { - index_ic1_ic2 = 0; - *pk_tot = spectrum_at_z[index_k] - *k*pk_primordial_k[index_ic1_ic2] - /kmin/pk_primordial_kmin[index_ic1_ic2]; - if (pba->has_ncdm){ - *pk_cb_tot = spectrum_cb_at_z[index_k] - *k*pk_primordial_k[index_ic1_ic2] - /kmin/pk_primordial_kmin[index_ic1_ic2]; - } - } - else { - for (index_ic1_ic2 = 0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) { - pk_ic[index_ic1_ic2] = spectrum_at_z_ic[index_ic1_ic2] - *k*pk_primordial_k[index_ic1_ic2] - /kmin/pk_primordial_kmin[index_ic1_ic2]; - if (pba->has_ncdm){ - pk_cb_ic[index_ic1_ic2] = spectrum_cb_at_z_ic[index_ic1_ic2] - *k*pk_primordial_k[index_ic1_ic2] - /kmin/pk_primordial_kmin[index_ic1_ic2]; - } - } - } - - free(spectrum_at_z); - free(spectrum_cb_at_z); - if (psp->ic_size[index_md] > 1){ - free(spectrum_at_z_ic); - free(spectrum_cb_at_z_ic); - } - free(pk_primordial_k); - free(pk_primordial_kmin); - - } - } - - /** - deal with case kmin <= k <= kmax */ - - else { - - /* compute P(k,z) (in logarithmic format for more accurate interpolation) */ - class_alloc(spectrum_at_z, - psp->ln_k_size*sizeof(double), - psp->error_message); - class_alloc(spectrum_cb_at_z, - psp->ln_k_size*sizeof(double), - psp->error_message); - if (psp->ic_size[index_md] > 1) { - class_alloc(spectrum_at_z_ic, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - class_alloc(spectrum_cb_at_z_ic, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - } - class_call(spectra_pk_at_z(pba, - psp, - logarithmic, - z, - spectrum_at_z, - spectrum_at_z_ic, - spectrum_cb_at_z, - spectrum_cb_at_z_ic), - psp->error_message, - psp->error_message); - - /* get its second derivatives with spline, then interpolate, then convert to linear format */ - - class_alloc(spline, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - - if(pba->has_ncdm) - class_alloc(spline_cb, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - - if (psp->ic_size[index_md] == 1) { - - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_at_z, - 1, - spline, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_at_z, - spline, - 1, - log(k), - &last_index, - pk_tot, - 1, - psp->error_message), - psp->error_message, - psp->error_message); - - *pk_tot = exp(*pk_tot); - - if(pba->has_ncdm){ - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z, - 1, - spline_cb, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z, - spline_cb, - 1, - log(k), - &last_index, - pk_cb_tot, - 1, - psp->error_message), - psp->error_message, - psp->error_message); - - *pk_cb_tot = exp(*pk_cb_tot); - } - - } - else { - - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_at_z_ic, - psp->ic_ic_size[index_md], - spline, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_at_z_ic, - spline, - psp->ic_ic_size[index_md], - log(k), - &last_index, - pk_ic, - psp->ic_ic_size[index_md], - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z_ic, - psp->ic_ic_size[index_md], - spline_cb, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z_ic, - spline_cb, - psp->ic_ic_size[index_md], - log(k), - &last_index, - pk_cb_ic, - psp->ic_ic_size[index_md], - psp->error_message), - psp->error_message, - psp->error_message); - } - - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md]); - pk_ic[index_ic1_ic2] = exp(pk_ic[index_ic1_ic2]); - if(pba->has_ncdm) pk_cb_ic[index_ic1_ic2] = exp(pk_cb_ic[index_ic1_ic2]); - } - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1+1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - pk_ic[index_ic1_ic2] = pk_ic[index_ic1_ic2]* - sqrt(pk_ic[index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])]* - pk_ic[index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - if(pba->has_ncdm){ - pk_cb_ic[index_ic1_ic2] = pk_cb_ic[index_ic1_ic2]* - sqrt(pk_cb_ic[index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md])]* - pk_cb_ic[index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md])]); - } - } - else { - pk_ic[index_ic1_ic2] = 0.; - if (pba->has_ncdm) pk_cb_ic[index_ic1_ic2] = 0.; - } - } - } - free(spectrum_at_z_ic); - free(spectrum_cb_at_z_ic); - } - - free(spectrum_at_z); - free(spectrum_cb_at_z); - free(spline); - if(pba->has_ncdm) free(spline_cb); - } - - /** - last step: if more than one condition, sum over pk_ic to get pk_tot, and set back coefficients of non-correlated pairs to exactly zero. */ - - if (psp->ic_size[index_md] > 1) { - - *pk_tot = 0.; - - if (pba->has_ncdm) *pk_cb_tot = 0.; - - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - - if (index_ic1 == index_ic2){ - *pk_tot += pk_ic[index_ic1_ic2]; - if(pba->has_ncdm) *pk_cb_tot += pk_cb_ic[index_ic1_ic2]; - } - else{ - *pk_tot += 2.*pk_ic[index_ic1_ic2]; - if(pba->has_ncdm) *pk_cb_tot += 2.*pk_cb_ic[index_ic1_ic2]; - } - } - else { - pk_ic[index_ic1_ic2] = 0.; - if(pba->has_ncdm) pk_cb_ic[index_ic1_ic2] = 0.; - } - } - } - - class_test(*pk_tot <= 0., - psp->error_message, - "for k=%e, the matrix of initial condition amplitudes was not positive definite, hence P(k)_total results negative",k); - if(pba->has_ncdm){ - class_test(*pk_cb_tot <= 0., - psp->error_message, - "for k=%e, the matrix of initial condition amplitudes was not positive definite, hence P(k)_cb_total results negative",k); - } - } - - return _SUCCESS_; - -} - -/** - * Non-linear total matter power spectrum for arbitrary redshift. - * - * This routine evaluates the non-linear matter power spectrum at a given value of z by - * interpolating in the pre-computed table (if several values of z have been stored) - * or by directly reading it (if it only contains values at z=0 and we want P(k,z=0)) - * - * - * Can be called in two modes: linear or logarithmic. - * - * - linear: returns P(k) (units: Mpc^3) - * - * - logarithmic: returns ln(P(k)) - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param mode Input: linear or logarithmic - * @param z Input: redshift - * @param output_tot Output: total matter power spectrum P(k) in \f$ Mpc^3\f$ (linear mode), or its logarithms (logarithmic mode) - * @param output_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3\f$ (linear mode), or its logarithms (logarithmic mode) - * @return the error status - */ - -int spectra_pk_nl_at_z( - struct background * pba, - struct spectra * psp, - enum linear_or_logarithmic mode, - double z, - double * output_tot, /* array with argument output_tot[index_k] (must be already allocated) */ - double * output_cb_tot /* same as output_tot for baryon+CDM only */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int last_index; - int index_k; - double tau,ln_tau; - - /** - first step: convert z into ln(tau) */ - - class_call(background_tau_of_z(pba,z,&tau), - pba->error_message, - psp->error_message); - - class_test(tau <= 0., - psp->error_message, - "negative or null value of conformal time: cannot interpolate"); - - ln_tau = log(tau); - - /** - second step: for both modes (linear or logarithmic), store the spectrum in logarithmic format in the output array(s) */ - - /** - --> (a) if only values at tau=tau_today are stored and we want P(k,z=0), no need to interpolate */ - - if (psp->ln_tau_size == 1) { - - class_test(z != 0., - psp->error_message, - "asked z=%e but only P(k,z=0) has been tabulated",z); - - for (index_k=0; index_kln_k_size; index_k++) { - output_tot[index_k] = psp->ln_pk_nl[index_k]; - if (pba->has_ncdm) output_cb_tot[index_k] = psp->ln_pk_cb_nl[index_k]; - } - } - - /** - --> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift */ - - else { - - class_test(ln_tau < psp->ln_tau[0], - "This should never happen", - psp->error_message, - psp->error_message); - - if (ln_tau < psp->ln_tau_nl[0]) { - - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_l, - psp->ddln_pk_l, - psp->ln_k_size, - ln_tau, - &last_index, - output_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - } - else { - - class_call(array_interpolate_spline(psp->ln_tau_nl, - psp->ln_tau_nl_size, - psp->ln_pk_nl, - psp->ddln_pk_nl, - psp->ln_k_size, - ln_tau, - &last_index, - output_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - } - if(pba->has_ncdm){ - if(ln_tau < psp->ln_tau_nl[0]){ - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_cb_l, - psp->ddln_pk_cb_l, - psp->ln_k_size, - ln_tau, - &last_index, - output_cb_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - - } - else{ - class_call(array_interpolate_spline(psp->ln_tau_nl, - psp->ln_tau_nl_size, - psp->ln_pk_cb_nl, - psp->ddln_pk_cb_nl, - psp->ln_k_size, - ln_tau, - &last_index, - output_cb_tot, - psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - - } - } - - } - - /** - fourth step: eventually convert to linear format */ - - if (mode == linear) { - for (index_k=0; index_kln_k_size; index_k++) { - output_tot[index_k] = exp(output_tot[index_k]); - if(pba->has_ncdm) output_cb_tot[index_k] = exp(output_cb_tot[index_k]); - } - } - - return _SUCCESS_; - -} - -/** - * Non-linear total matter power spectrum for arbitrary wavenumber and redshift. - * - * This routine evaluates the matter power spectrum at a given value of k and z by - * interpolating in a table of all P(k)'s computed at this z by spectra_pk_nl_at_z() (when kmin <= k <= kmax), - * or eventually by using directly the primordial spectrum (when 0 <= k < kmin): - * the latter case is an approximation, valid when kmin << comoving Hubble scale today. - * Returns zero when k=0. Returns an error when k<0 or k > kmax. - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param ppm Input: pointer to primordial structure (used only in the case 0 < k < kmin) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param k Input: wavenumber in 1/Mpc - * @param z Input: redshift - * @param pk_tot Output: total matter power spectrum P(k) in \f$ Mpc^3\f$ - * @param pk_cb_tot Output: b+CDM power spectrum P(k) in \f$ Mpc^3\f$ - * @return the error status - */ - -int spectra_pk_nl_at_k_and_z( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double k, - double z, - double * pk_tot, /* pointer to a single number (must be already allocated) */ - double * pk_cb_tot /* same as pk_tot for baryon+CDM only */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int last_index; - - double * spectrum_at_z = NULL; - double * spline; - - double * spectrum_cb_at_z = NULL; - double * spline_cb = NULL; - - index_md = psp->index_md_scalars; - - /** - check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_pk_at_z()) */ - - class_test((k < exp(psp->ln_k[0])) || (k > exp(psp->ln_k[psp->ln_k_size-1])), - psp->error_message, - "k=%e out of bounds [%e:%e]",k,0.,exp(psp->ln_k[psp->ln_k_size-1])); - - /** - compute P(k,z) (in logarithmic format for more accurate interpolation) */ - class_alloc(spectrum_at_z, - psp->ln_k_size*sizeof(double), - psp->error_message); - - class_alloc(spectrum_cb_at_z, - psp->ln_k_size*sizeof(double), - psp->error_message); - - class_call(spectra_pk_nl_at_z(pba, - psp, - logarithmic, - z, - spectrum_at_z, - spectrum_cb_at_z), - psp->error_message, - psp->error_message); - - /** - get its second derivatives with spline, then interpolate, then convert to linear format */ - - class_alloc(spline, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - - if(pba->has_ncdm){ - class_alloc(spline_cb, - sizeof(double)*psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->error_message); - } - - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_at_z, - 1, - spline, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_at_z, - spline, - 1, - log(k), - &last_index, - pk_tot, - 1, - psp->error_message), - psp->error_message, - psp->error_message); - - *pk_tot = exp(*pk_tot); - - if(pba->has_ncdm){ - - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z, - 1, - spline_cb, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - spectrum_cb_at_z, - spline_cb, - 1, - log(k), - &last_index, - pk_cb_tot, - 1, - psp->error_message), - psp->error_message, - psp->error_message); - - *pk_cb_tot = exp(*pk_cb_tot); - - } - - free(spectrum_at_z); - free(spectrum_cb_at_z); - free(spline); - if(pba->has_ncdm) free(spline_cb); - - return _SUCCESS_; - -} - - -/** - * Matter transfer functions \f$ T_i(k) \f$ for arbitrary redshift and for all - * initial conditions. - * - * This routine evaluates the matter transfer functions at a given value of z by - * interpolating in the pre-computed table (if several values of z have been stored) - * or by directly reading it (if it only contains values at z=0 and we want \f$ T_i(k,z=0)\f$) - * - * - * This function can be - * called from whatever module at whatever time, provided that - * spectra_init() has been called before, and spectra_free() has not - * been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param z Input: redshift - * @param output Output: matter transfer functions - * @return the error status - */ - -int spectra_tk_at_z( - struct background * pba, - struct spectra * psp, - double z, - double * output /* array with argument output[(index_k*psp->ic_size[index_md]+index_ic)*psp->tr_size+index_tr] (must be already allocated) */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int last_index; - int index_k; - int index_tr; - double tau,ln_tau; - int index_ic; - - index_md = psp->index_md_scalars; - - /** - first step: convert z into ln(tau) */ - - class_call(background_tau_of_z(pba,z,&tau), - pba->error_message, - psp->error_message); - - class_test(tau <= 0., - psp->error_message, - "negative or null value of conformal time: cannot interpolate"); - - ln_tau = log(tau); - - /** - second step: store the matter transfer functions in the output array */ - - /** - --> (a) if only values at tau=tau_today are stored and we want \f$ T_i(k,z=0)\f$, no need to interpolate */ - - if (psp->ln_tau_size == 1) { - - class_test(z != 0., - psp->error_message, - "asked z=%e but only T_i(k,z=0) has been tabulated",z); - - for (index_k=0; index_kln_k_size; index_k++) - for (index_tr=0; index_trtr_size; index_tr++) - for (index_ic = 0; index_ic < psp->ic_size[index_md]; index_ic++) - output[(index_k*psp->ic_size[index_md]+index_ic)*psp->tr_size+index_tr] - = psp->matter_transfer[(index_k*psp->ic_size[index_md]+index_ic)*psp->tr_size+index_tr]; - - } - - /** - --> (b) if several values of tau have been stored, use interpolation routine to get spectra at correct redshift */ - - else { - - class_call(array_interpolate_spline(psp->ln_tau, - psp->ln_tau_size, - psp->matter_transfer, - psp->ddmatter_transfer, - psp->ic_size[index_md]*psp->tr_size*psp->ln_k_size, - ln_tau, - &last_index, - output, - psp->ic_size[index_md]*psp->tr_size*psp->ln_k_size, - psp->error_message), - psp->error_message, - psp->error_message); - - } - - return _SUCCESS_; - -} - -/** - * Matter transfer functions \f$ T_i(k)\f$ for arbitrary wavenumber, redshift - * and initial condition. - * - * This routine evaluates the matter transfer functions at a given - * value of k and z by interpolating in a table of all \f$ T_i(k,z)\f$'s - * computed at this z by spectra_tk_at_z() (when kmin <= k <= kmax). - * Returns an error when k kmax. - * - * This function can be called from whatever module at whatever time, - * provided that spectra_init() has been called before, and - * spectra_free() has not been called yet. - * - * @param pba Input: pointer to background structure (used for converting z into tau) - * @param psp Input: pointer to spectra structure (containing pre-computed table) - * @param k Input: wavenumber in 1/Mpc - * @param z Input: redshift - * @param output Output: matter transfer functions - * @return the error status - */ - -int spectra_tk_at_k_and_z( - struct background * pba, - struct spectra * psp, - double k, - double z, - double * output /* array with argument output[index_ic*psp->tr_size+index_tr] (must be already allocated) */ - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int last_index; - double * tks_at_z; - double * ddtks_at_z; - - index_md = psp->index_md_scalars; - - /** - check that k is in valid range [0:kmax] (the test for z will be done when calling spectra_tk_at_z()) */ - - class_test((k < 0.) || (k > exp(psp->ln_k[psp->ln_k_size-1])), - psp->error_message, - "k=%e out of bounds [%e:%e]",k,0.,exp(psp->ln_k[psp->ln_k_size-1])); - - /** - compute T_i(k,z) */ - - class_alloc(tks_at_z, - psp->ln_k_size*psp->tr_size*psp->ic_size[index_md]*sizeof(double), - psp->error_message); - - class_call(spectra_tk_at_z(pba, - psp, - z, - tks_at_z), - psp->error_message, - psp->error_message); - - /** - get its second derivatives w.r.t. k with spline, then interpolate */ - - class_alloc(ddtks_at_z, - psp->ln_k_size*psp->tr_size*psp->ic_size[index_md]*sizeof(double), - psp->error_message); - - class_call(array_spline_table_lines(psp->ln_k, - psp->ln_k_size, - tks_at_z, - psp->tr_size*psp->ic_size[index_md], - ddtks_at_z, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_interpolate_spline(psp->ln_k, - psp->ln_k_size, - tks_at_z, - ddtks_at_z, - psp->tr_size*psp->ic_size[index_md], - log(k), - &last_index, - output, - psp->tr_size*psp->ic_size[index_md], - psp->error_message), - psp->error_message, - psp->error_message); - - free(tks_at_z); - free(ddtks_at_z); - - return _SUCCESS_; - -} - -/** - * This routine initializes the spectra structure (in particular, - * computes table of anisotropy and Fourier spectra \f$ C_l^{X}, P(k), ... \f$) - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure (will provide H, Omega_m at redshift of interest) - * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfer structure - * @param ppm Input: pointer to primordial structure - * @param pnl Input: pointer to nonlinear structure - * @param psp Output: pointer to initialized spectra structure - * @return the error status - */ - -int spectra_init( - struct precision * ppr, - struct background * pba, - struct perturbs * ppt, - struct primordial * ppm, - struct nonlinear *pnl, - struct transfers * ptr, - struct spectra * psp - ) { - - /** Summary: */ - - double TT_II,TT_RI,TT_RR; - int l1,l2; - - /** - check that we really want to compute at least one spectrum */ - - if ((ppt->has_cls == _FALSE_) && - (ppt->has_pk_matter == _FALSE_) && - (ppt->has_density_transfers == _FALSE_) && - (ppt->has_velocity_transfers == _FALSE_)) { - psp->md_size = 0; - if (psp->spectra_verbose > 0) - printf("No spectra requested. Spectra module skipped.\n"); - return _SUCCESS_; - } - else { - if (psp->spectra_verbose > 0) - printf("Computing unlensed linear spectra\n"); - } - - /** - initialize indices and allocate some of the arrays in the - spectra structure */ - - class_call(spectra_indices(pba,ppt,ptr,ppm,psp), - psp->error_message, - psp->error_message); - - /** - deal with \f$ C_l\f$'s, if any */ - - if (ppt->has_cls == _TRUE_) { - - class_call(spectra_cls(pba,ppt,ptr,ppm,psp), - psp->error_message, - psp->error_message); - - } - else { - psp->ct_size=0; - } - - /** - deal with \f$ P(k,\tau)\f$ and \f$ T_i(k,\tau)\f$ */ - - if ((ppt->has_pk_matter == _TRUE_) || (ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { - - class_call(spectra_k_and_tau(pba,ppt,pnl,psp), - psp->error_message, - psp->error_message); - - if (ppt->has_pk_matter == _TRUE_) { - - class_call(spectra_pk(pba,ppt,ppm,pnl,psp), - psp->error_message, - psp->error_message); - - } - else { - psp->ln_pk=NULL; - psp->ln_pk_cb=NULL; - } - - if ((ppt->has_density_transfers == _TRUE_) || (ppt->has_velocity_transfers == _TRUE_)) { - - class_call(spectra_matter_transfers(pba,ppt,psp), - psp->error_message, - psp->error_message); - } - else { - psp->matter_transfer=NULL; - } - - } - else { - psp->ln_k_size=0; - } - - /* if there is one isocurvature mode, compute and store in the psp - structure the isocurvature contribution to some bandpowers in - different ranges of l, and the contribution to the primordial - spectrum at different wavenumbers (used in the Planck - analysis) */ - - if ((ppt->has_scalars == _TRUE_) && (ppt->has_cls == _TRUE_) && (ppt->ic_size[ppt->index_md_scalars] == 2)) { - - l1=2; - l2=20; - - class_call(spectra_bandpower(psp,l1,l2,&TT_II,&TT_RI,&TT_RR), - psp->error_message, - psp->error_message); - - class_test(TT_II+TT_RI+TT_RR==0., - psp->error_message, - "should never happen"); - - psp->alpha_II_2_20=TT_II/(TT_II+TT_RI+TT_RR); - psp->alpha_RI_2_20=TT_RI/(TT_II+TT_RI+TT_RR); - psp->alpha_RR_2_20=TT_RR/(TT_II+TT_RI+TT_RR); - - l1=21; - l2=200; - - class_call(spectra_bandpower(psp,l1,l2,&TT_II,&TT_RI,&TT_RR), - psp->error_message, - psp->error_message); - - class_test(TT_II+TT_RI+TT_RR==0., - psp->error_message, - "should never happen"); - - psp->alpha_II_21_200=TT_II/(TT_II+TT_RI+TT_RR); - psp->alpha_RI_21_200=TT_RI/(TT_II+TT_RI+TT_RR); - psp->alpha_RR_21_200=TT_RR/(TT_II+TT_RI+TT_RR); - - l1=201; - l2=2500; - - class_call(spectra_bandpower(psp,l1,l2,&TT_II,&TT_RI,&TT_RR), - psp->error_message, - psp->error_message); - - class_test(TT_II+TT_RI+TT_RR==0., - psp->error_message, - "should never happen"); - - psp->alpha_II_201_2500=TT_II/(TT_II+TT_RI+TT_RR); - psp->alpha_RI_201_2500=TT_RI/(TT_II+TT_RI+TT_RR); - psp->alpha_RR_201_2500=TT_RR/(TT_II+TT_RI+TT_RR); - - l1=2; - l2=2500; - - class_call(spectra_bandpower(psp,l1,l2,&TT_II,&TT_RI,&TT_RR), - psp->error_message, - psp->error_message); - - class_test(TT_II+TT_RI+TT_RR==0., - psp->error_message, - "should never happen"); - - psp->alpha_II_2_2500=TT_II/(TT_II+TT_RI+TT_RR); - psp->alpha_RI_2_2500=TT_RI/(TT_II+TT_RI+TT_RR); - psp->alpha_RR_2_2500=TT_RR/(TT_II+TT_RI+TT_RR); - - if (ppt->has_cdi==_TRUE_) { - - psp->alpha_kp=ppm->f_cdi*ppm->f_cdi - /(1.+ppm->f_cdi*ppm->f_cdi); - - psp->alpha_k1=ppm->f_cdi*ppm->f_cdi*exp((ppm->n_cdi-ppm->n_s)*log(0.002/ppm->k_pivot)) - /(1.+ppm->f_cdi*ppm->f_cdi*exp((ppm->n_cdi-ppm->n_s)*log(0.002/ppm->k_pivot))); - - psp->alpha_k2=ppm->f_cdi*ppm->f_cdi*exp((ppm->n_cdi-ppm->n_s)*log(0.1/ppm->k_pivot)) - /(1.+ppm->f_cdi*ppm->f_cdi*exp((ppm->n_cdi-ppm->n_s)*log(0.1/ppm->k_pivot))); - } - - if (ppt->has_nid==_TRUE_) { - - psp->alpha_kp=ppm->f_nid*ppm->f_nid - /(1.+ppm->f_nid*ppm->f_nid); - - psp->alpha_k1=ppm->f_nid*ppm->f_nid*exp((ppm->n_nid-ppm->n_s)*log(0.002/ppm->k_pivot)) - /(1.+ppm->f_nid*ppm->f_nid*exp((ppm->n_nid-ppm->n_s)*log(0.002/ppm->k_pivot))); - - psp->alpha_k2=ppm->f_nid*ppm->f_nid*exp((ppm->n_nid-ppm->n_s)*log(0.1/ppm->k_pivot)) - /(1.+ppm->f_nid*ppm->f_nid*exp((ppm->n_nid-ppm->n_s)*log(0.1/ppm->k_pivot))); - } - - if (ppt->has_niv==_TRUE_) { - - psp->alpha_kp=ppm->f_niv*ppm->f_niv - /(1.+ppm->f_niv*ppm->f_niv); - - psp->alpha_k1=ppm->f_niv*ppm->f_niv*exp((ppm->n_niv-ppm->n_s)*log(0.002/ppm->k_pivot)) - /(1.+ppm->f_niv*ppm->f_niv*exp((ppm->n_niv-ppm->n_s)*log(0.002/ppm->k_pivot))); - - psp->alpha_k2=ppm->f_niv*ppm->f_niv*exp((ppm->n_niv-ppm->n_s)*log(0.1/ppm->k_pivot)) - /(1.+ppm->f_niv*ppm->f_niv*exp((ppm->n_niv-ppm->n_s)*log(0.1/ppm->k_pivot))); - } - } - - return _SUCCESS_; -} - -/** - * This routine frees all the memory space allocated by spectra_init(). - * - * To be called at the end of each run, only when no further calls to - * spectra_cls_at_l(), spectra_pk_at_z(), spectra_pk_at_k_and_z() are needed. - * - * @param psp Input: pointer to spectra structure (which fields must be freed) - * @return the error status - */ - -int spectra_free( - struct spectra * psp - ) { - - int index_md; - - if (psp->md_size > 0) { - - if (psp->ct_size > 0) { - - for (index_md = 0; index_md < psp->md_size; index_md++) { - free(psp->l_max_ct[index_md]); - free(psp->cl[index_md]); - free(psp->ddcl[index_md]); - } - free(psp->l); - free(psp->l_size); - free(psp->l_max_ct); - free(psp->l_max); - free(psp->cl); - free(psp->ddcl); - } - - if (psp->ln_k_size > 0) { - - free(psp->ln_tau); - free(psp->ln_k); - - if (psp->ln_pk != NULL) { - - free(psp->ln_pk); - - if (psp->ln_tau_size > 1) { - free(psp->ddln_pk); - } - - free(psp->ln_pk_l); - - if (psp->ln_tau_size > 1) { - free(psp->ddln_pk_l); - } - - if (psp->ln_pk_nl != NULL) { - - free(psp->ln_tau_nl); - free(psp->ln_pk_nl); - - if (psp->ln_tau_nl_size > 1) { - free(psp->ddln_pk_nl); - } - } - - } - - if (psp->ln_pk_cb != NULL) { - - free(psp->ln_pk_cb); - - if (psp->ln_tau_size > 1) { - free(psp->ddln_pk_cb); - } - - free(psp->ln_pk_cb_l); - - if (psp->ln_tau_size > 1) { - free(psp->ddln_pk_cb_l); - } - - if (psp->ln_pk_cb_nl != NULL) { - - free(psp->ln_pk_cb_nl); - - if (psp->ln_tau_nl_size > 1) { - free(psp->ddln_pk_cb_nl); - } - } - - } - - if (psp->matter_transfer != NULL) { - - free(psp->matter_transfer); - if (psp->ln_tau_size > 1) { - free(psp->ddmatter_transfer); - } - } - } - } - - for (index_md=0; index_md < psp->md_size; index_md++) - free(psp->is_non_zero[index_md]); - free(psp->is_non_zero); - free(psp->ic_size); - free(psp->ic_ic_size); - - return _SUCCESS_; - -} - -/** - * This routine defines indices and allocates tables in the spectra structure - * - * @param pba Input: pointer to background structure - * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure - * @param ppm Input: pointer to primordial structure - * @param psp Input/output: pointer to spectra structure - * @return the error status - */ - -int spectra_indices( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp - ){ - - int index_ct; - int index_md; - int index_ic1_ic2; - int index_tr; - - psp->md_size = ppt->md_size; - if (ppt->has_scalars == _TRUE_) - psp->index_md_scalars = ppt->index_md_scalars; - - class_alloc(psp->ic_size, - sizeof(int)*psp->md_size, - psp->error_message); - - class_alloc(psp->ic_ic_size, - sizeof(int)*psp->md_size, - psp->error_message); - - class_alloc(psp->is_non_zero, - sizeof(short *)*psp->md_size, - psp->error_message); - - for (index_md=0; index_md < psp->md_size; index_md++) { - psp->ic_size[index_md] = ppm->ic_size[index_md]; - psp->ic_ic_size[index_md] = ppm->ic_ic_size[index_md]; - class_alloc(psp->is_non_zero[index_md], - sizeof(short)*psp->ic_ic_size[index_md], - psp->error_message); - for (index_ic1_ic2=0; index_ic1_ic2 < psp->ic_ic_size[index_md]; index_ic1_ic2++) - psp->is_non_zero[index_md][index_ic1_ic2] = ppm->is_non_zero[index_md][index_ic1_ic2]; - } - - if (ppt->has_cls == _TRUE_) { - - /* types of C_l's relevant for both scalars and tensors: TT, EE, TE */ - - index_ct=0; - - if (ppt->has_cl_cmb_temperature == _TRUE_) { - psp->has_tt = _TRUE_; - psp->index_ct_tt=index_ct; - index_ct++; - } - else { - psp->has_tt = _FALSE_; - } - - if (ppt->has_cl_cmb_polarization == _TRUE_) { - psp->has_ee = _TRUE_; - psp->index_ct_ee=index_ct; - index_ct++; - } - else { - psp->has_ee = _FALSE_; - } - - if ((ppt->has_cl_cmb_temperature == _TRUE_) && - (ppt->has_cl_cmb_polarization == _TRUE_)) { - psp->has_te = _TRUE_; - psp->index_ct_te=index_ct; - index_ct++; - } - else { - psp->has_te = _FALSE_; - } - - if (ppt->has_cl_cmb_polarization == _TRUE_) { - psp->has_bb = _TRUE_; - psp->index_ct_bb=index_ct; - index_ct++; - } - else { - psp->has_bb = _FALSE_; - } - - /* types of C_l's relevant only for scalars: phi-phi, T-phi, E-phi, d-d, T-d */ - - if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_pp = _TRUE_; - psp->index_ct_pp=index_ct; - index_ct++; - } - else { - psp->has_pp = _FALSE_; - } - - if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_tp = _TRUE_; - psp->index_ct_tp=index_ct; - index_ct++; - } - else { - psp->has_tp = _FALSE_; - } - - psp->ct_size = index_ct; - - if ((ppt->has_cl_cmb_polarization == _TRUE_) && (ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_ep = _TRUE_; - psp->index_ct_ep=index_ct; - index_ct++; - } - else { - psp->has_ep = _FALSE_; - } - - if ((ppt->has_scalars == _TRUE_) && - ((ppt->has_cl_number_count == _TRUE_) || (ppt->has_cl_lensing_potential == _TRUE_))) - psp->d_size=ppt->selection_num; - else - psp->d_size=0; - - if ((ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_dd = _TRUE_; - psp->index_ct_dd=index_ct; - index_ct+=(psp->d_size*(psp->d_size+1)-(psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag))/2; - } - else { - psp->has_dd = _FALSE_; - } - - /* the computation of C_l^Td would require a very good sampling of - transfer functions over a wide range, and a huge computation - time. In the current version, we prefer to switch it off, rather - than either slowing down the code considerably, or producing - very inaccurate spectra. - - if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_td = _TRUE_; - psp->index_ct_td=index_ct; - index_ct+=psp->d_size; - } - else { - psp->has_td = _FALSE_; - } - */ - psp->has_td = _FALSE_; - - if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->has_cl_number_count == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_pd = _TRUE_; - psp->index_ct_pd=index_ct; - index_ct+=psp->d_size; - } - else { - psp->has_pd = _FALSE_; - } - - psp->has_td = _FALSE_; - - if ((ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_ll = _TRUE_; - psp->index_ct_ll=index_ct; - index_ct+=(psp->d_size*(psp->d_size+1)-(psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag))/2; - } - else { - psp->has_ll = _FALSE_; - } - - /* the computation of C_l^Tl would require a very good sampling of - transfer functions over a wide range, and a huge computation - time. In the current version, we prefer to switch it off, rather - than either slowing down the code considerably, or producing - very inaccurate spectra. - - if ((ppt->has_cl_cmb_temperature == _TRUE_) && (ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_tl = _TRUE_; - psp->index_ct_tl=index_ct; - index_ct+=psp->d_size; - } - else { - psp->has_tl = _FALSE_; - } - */ - psp->has_tl = _FALSE_; - - if ((ppt->has_cl_number_count == _TRUE_) && (ppt->has_cl_lensing_potential == _TRUE_) && (ppt->has_scalars == _TRUE_)) { - psp->has_dl = _TRUE_; - psp->index_ct_dl=index_ct; - index_ct += psp->d_size*psp->d_size - (psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag); - } - else { - psp->has_dl = _FALSE_; - } - - psp->ct_size = index_ct; - - /* infer from input quantities the l_max for each mode and type, - l_max_ct[index_md][index_type]. Maximize it over index_ct, and - then over index_md. */ - - class_alloc(psp->l_max,sizeof(int*)*psp->md_size,psp->error_message); - class_alloc(psp->l_max_ct,sizeof(int*)*psp->md_size,psp->error_message); - for (index_md=0; index_mdmd_size; index_md++) { - class_calloc(psp->l_max_ct[index_md],psp->ct_size,sizeof(int),psp->error_message); - } - - if (ppt->has_scalars == _TRUE_) { - - /* spectra computed up to l_scalar_max */ - - if (psp->has_tt == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_tt] = ppt->l_scalar_max; - if (psp->has_ee == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_ee] = ppt->l_scalar_max; - if (psp->has_te == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_te] = ppt->l_scalar_max; - if (psp->has_pp == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_pp] = ppt->l_scalar_max; - if (psp->has_tp == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_tp] = ppt->l_scalar_max; - if (psp->has_ep == _TRUE_) psp->l_max_ct[ppt->index_md_scalars][psp->index_ct_ep] = ppt->l_scalar_max; - - /* spectra computed up to l_lss_max */ - - if (psp->has_dd == _TRUE_) - for (index_ct=psp->index_ct_dd; - index_ctindex_ct_dd+(psp->d_size*(psp->d_size+1)-(psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag))/2; - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; - - if (psp->has_td == _TRUE_) - for (index_ct=psp->index_ct_td; - index_ctindex_ct_td+psp->d_size; - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); - - if (psp->has_pd == _TRUE_) - for (index_ct=psp->index_ct_pd; - index_ctindex_ct_pd+psp->d_size; - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); - - if (psp->has_ll == _TRUE_) - for (index_ct=psp->index_ct_ll; - index_ctindex_ct_ll+(psp->d_size*(psp->d_size+1)-(psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag))/2; - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; - - if (psp->has_tl == _TRUE_) - for (index_ct=psp->index_ct_tl; - index_ctindex_ct_tl+psp->d_size; - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = MIN(ppt->l_scalar_max,ppt->l_lss_max); - - if (psp->has_dl == _TRUE_) - for (index_ct=psp->index_ct_dl; - index_ct < psp->index_ct_dl+(psp->d_size*psp->d_size - (psp->d_size-psp->non_diag)*(psp->d_size-1-psp->non_diag)); - index_ct++) - psp->l_max_ct[ppt->index_md_scalars][index_ct] = ppt->l_lss_max; - - } - if (ppt->has_tensors == _TRUE_) { - - /* spectra computed up to l_tensor_max */ - - if (psp->has_tt == _TRUE_) psp->l_max_ct[ppt->index_md_tensors][psp->index_ct_tt] = ppt->l_tensor_max; - if (psp->has_ee == _TRUE_) psp->l_max_ct[ppt->index_md_tensors][psp->index_ct_ee] = ppt->l_tensor_max; - if (psp->has_te == _TRUE_) psp->l_max_ct[ppt->index_md_tensors][psp->index_ct_te] = ppt->l_tensor_max; - if (psp->has_bb == _TRUE_) psp->l_max_ct[ppt->index_md_tensors][psp->index_ct_bb] = ppt->l_tensor_max; - } - - /* maximizations */ - psp->l_max_tot = 0.; - for (index_md=0; index_md < psp->md_size; index_md++) { - psp->l_max[index_md] = 0.; - for (index_ct=0.; index_ctct_size; index_ct++) - psp->l_max[index_md] = MAX(psp->l_max[index_md],psp->l_max_ct[index_md][index_ct]); - psp->l_max_tot = MAX(psp->l_max_tot,psp->l_max[index_md]); - } - } - - /* indices for species associated with a matter transfer function in Fourier space */ - - index_tr=0; - class_define_index(psp->index_tr_delta_g,ppt->has_source_delta_g,index_tr,1); - class_define_index(psp->index_tr_delta_b,ppt->has_source_delta_b,index_tr,1); - class_define_index(psp->index_tr_delta_cdm,ppt->has_source_delta_cdm,index_tr,1); - class_define_index(psp->index_tr_delta_dcdm,ppt->has_source_delta_dcdm,index_tr,1); - class_define_index(psp->index_tr_delta_scf,ppt->has_source_delta_scf,index_tr,1); - class_define_index(psp->index_tr_delta_fld,ppt->has_source_delta_fld,index_tr,1); - class_define_index(psp->index_tr_delta_ur,ppt->has_source_delta_ur,index_tr,1); - class_define_index(psp->index_tr_delta_dr,ppt->has_source_delta_dr,index_tr,1); - class_define_index(psp->index_tr_delta_ncdm1,ppt->has_source_delta_ncdm,index_tr,pba->N_ncdm); - class_define_index(psp->index_tr_delta_tot,ppt->has_density_transfers,index_tr,1); - class_define_index(psp->index_tr_phi,ppt->has_source_phi,index_tr,1); - class_define_index(psp->index_tr_psi,ppt->has_source_psi,index_tr,1); - class_define_index(psp->index_tr_phi,ppt->has_source_phi_prime,index_tr,1); - class_define_index(psp->index_tr_h,ppt->has_source_h,index_tr,1); - class_define_index(psp->index_tr_h_prime,ppt->has_source_h_prime,index_tr,1); - class_define_index(psp->index_tr_eta,ppt->has_source_eta,index_tr,1); - class_define_index(psp->index_tr_eta_prime,ppt->has_source_eta_prime,index_tr,1); - - /* indices for species associated with a velocity transfer function in Fourier space */ - - class_define_index(psp->index_tr_theta_g,ppt->has_source_theta_g,index_tr,1); - class_define_index(psp->index_tr_theta_b,ppt->has_source_theta_b,index_tr,1); - class_define_index(psp->index_tr_theta_cdm,ppt->has_source_theta_cdm,index_tr,1); - class_define_index(psp->index_tr_theta_dcdm,ppt->has_source_theta_dcdm,index_tr,1); - class_define_index(psp->index_tr_theta_scf,ppt->has_source_theta_scf,index_tr,1); - class_define_index(psp->index_tr_theta_fld,ppt->has_source_theta_fld,index_tr,1); - class_define_index(psp->index_tr_theta_ur,ppt->has_source_theta_ur,index_tr,1); - class_define_index(psp->index_tr_theta_dr,ppt->has_source_theta_dr,index_tr,1); - class_define_index(psp->index_tr_theta_ncdm1,ppt->has_source_theta_ncdm,index_tr,pba->N_ncdm); - class_define_index(psp->index_tr_theta_tot,ppt->has_velocity_transfers,index_tr,1); - - psp->tr_size = index_tr; - - return _SUCCESS_; - -} - -/** - * This routine computes a table of values for all harmonic spectra \f$ C_l \f$'s, - * given the transfer functions and primordial spectra. - * - * @param pba Input: pointer to background structure - * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure - * @param ppm Input: pointer to primordial structure - * @param psp Input/Output: pointer to spectra structure - * @return the error status - */ - -int spectra_cls( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int index_ic1,index_ic2,index_ic1_ic2; - int index_l; - int index_ct; - int cl_integrand_num_columns; - - double * cl_integrand; /* array with argument cl_integrand[index_k*cl_integrand_num_columns+1+psp->index_ct] */ - double * transfer_ic1; /* array with argument transfer_ic1[index_tt] */ - double * transfer_ic2; /* idem */ - double * primordial_pk; /* array with argument primordial_pk[index_ic_ic]*/ - - /* This code can be optionally compiled with the openmp option for parallel computation. - Inside parallel regions, the use of the command "return" is forbidden. - For error management, instead of "return _FAILURE_", we will set the variable below - to "abort = _TRUE_". This will lead to a "return _FAILURE_" jus after leaving the - parallel region. */ - int abort; - -#ifdef _OPENMP - /* instrumentation times */ - double tstart, tstop; -#endif - - /** - allocate pointers to arrays where results will be stored */ - - class_alloc(psp->l_size,sizeof(int)*psp->md_size,psp->error_message); - class_alloc(psp->cl,sizeof(double *)*psp->md_size,psp->error_message); - class_alloc(psp->ddcl,sizeof(double *)*psp->md_size,psp->error_message); - - psp->l_size_max = ptr->l_size_max; - class_alloc(psp->l,sizeof(double)*psp->l_size_max,psp->error_message); - - /** - store values of l */ - for (index_l=0; index_l < psp->l_size_max; index_l++) { - psp->l[index_l] = (double)ptr->l[index_l]; - } - - /** - loop over modes (scalar, tensors, etc). For each mode: */ - - for (index_md = 0; index_md < psp->md_size; index_md++) { - - /** - --> (a) store number of l values for this mode */ - - psp->l_size[index_md] = ptr->l_size[index_md]; - - /** - --> (b) allocate arrays where results will be stored */ - - class_alloc(psp->cl[index_md],sizeof(double)*psp->l_size[index_md]*psp->ct_size*psp->ic_ic_size[index_md],psp->error_message); - class_alloc(psp->ddcl[index_md],sizeof(double)*psp->l_size[index_md]*psp->ct_size*psp->ic_ic_size[index_md],psp->error_message); - cl_integrand_num_columns = 1+psp->ct_size*2; /* one for k, ct_size for each type, ct_size for each second derivative of each type */ - - /** - --> (c) loop over initial conditions */ - - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - - /* non-diagonal coefficients should be computed only if non-zero correlation */ - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - - /* initialize error management flag */ - abort = _FALSE_; - - /* beginning of parallel region */ - -#pragma omp parallel \ - shared(ptr,ppm,index_md,psp,ppt,cl_integrand_num_columns,index_ic1,index_ic2,abort) \ - private(tstart,cl_integrand,primordial_pk,transfer_ic1,transfer_ic2,index_l,tstop) - - { - -#ifdef _OPENMP - tstart = omp_get_wtime(); -#endif - - class_alloc_parallel(cl_integrand, - ptr->q_size*cl_integrand_num_columns*sizeof(double), - psp->error_message); - - class_alloc_parallel(primordial_pk, - psp->ic_ic_size[index_md]*sizeof(double), - psp->error_message); - - class_alloc_parallel(transfer_ic1, - ptr->tt_size[index_md]*sizeof(double), - psp->error_message); - - class_alloc_parallel(transfer_ic2, - ptr->tt_size[index_md]*sizeof(double), - psp->error_message); - -#pragma omp for schedule (dynamic) - - /** - ---> loop over l values defined in the transfer module. - For each l, compute the \f$ C_l\f$'s for all types (TT, TE, ...) - by convolving primordial spectra with transfer functions. - This elementary task is assigned to spectra_compute_cl() */ - - for (index_l=0; index_l < ptr->l_size[index_md]; index_l++) { - -#pragma omp flush(abort) - - class_call_parallel(spectra_compute_cl(pba, - ppt, - ptr, - ppm, - psp, - index_md, - index_ic1, - index_ic2, - index_l, - cl_integrand_num_columns, - cl_integrand, - primordial_pk, - transfer_ic1, - transfer_ic2), - psp->error_message, - psp->error_message); - - } /* end of loop over l */ - -#ifdef _OPENMP - tstop = omp_get_wtime(); - if (psp->spectra_verbose > 1) - printf("In %s: time spent in parallel region (loop over l's) = %e s for thread %d\n", - __func__,tstop-tstart,omp_get_thread_num()); -#endif - free(cl_integrand); - - free(primordial_pk); - - free(transfer_ic1); - - free(transfer_ic2); - - } /* end of parallel region */ - - if (abort == _TRUE_) return _FAILURE_; - - } - else { - - /* set non-diagonal coefficients to zero if pair of ic's uncorrelated */ - - for (index_l=0; index_l < ptr->l_size[index_md]; index_l++) { - for (index_ct=0; index_ctct_size; index_ct++) { - psp->cl[index_md] - [(index_l * psp->ic_ic_size[index_md] + index_ic1_ic2) * psp->ct_size + index_ct] - = 0.; - } - } - } - } - } - - /** - --> (d) now that for a given mode, all possible \f$ C_l\f$'s have been computed, - compute second derivative of the array in which they are stored, - in view of spline interpolation. */ - - class_call(array_spline_table_lines(psp->l, - psp->l_size[index_md], - psp->cl[index_md], - psp->ic_ic_size[index_md]*psp->ct_size, - psp->ddcl[index_md], - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - } - - return _SUCCESS_; - -} - -/** - * This routine computes the \f$ C_l\f$'s for a given mode, pair of initial conditions - * and multipole, but for all types (TT, TE...), by convolving the - * transfer functions with the primordial spectra. - * - * @param pba Input: pointer to background structure - * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure - * @param ppm Input: pointer to primordial structure - * @param psp Input/Output: pointer to spectra structure (result stored here) - * @param index_md Input: index of mode under consideration - * @param index_ic1 Input: index of first initial condition in the correlator - * @param index_ic2 Input: index of second initial condition in the correlator - * @param index_l Input: index of multipole under consideration - * @param cl_integrand_num_columns Input: number of columns in cl_integrand - * @param cl_integrand Input: an allocated workspace - * @param primordial_pk Input: table of primordial spectrum values - * @param transfer_ic1 Input: table of transfer function values for first initial condition - * @param transfer_ic2 Input: table of transfer function values for second initial condition - * @return the error status - */ - -int spectra_compute_cl( - struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - int index_md, - int index_ic1, - int index_ic2, - int index_l, - int cl_integrand_num_columns, - double * cl_integrand, - double * primordial_pk, - double * transfer_ic1, - double * transfer_ic2 - ) { - - int index_q; - int index_tt; - int index_ct; - int index_d1,index_d2; - double k; - double clvalue; - int index_ic1_ic2; - double transfer_ic1_temp=0.; - double transfer_ic2_temp=0.; - double * transfer_ic1_nc=NULL; - double * transfer_ic2_nc=NULL; - double factor; - int index_q_spline=0; - - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - - if (ppt->has_cl_number_count == _TRUE_) { - class_alloc(transfer_ic1_nc,psp->d_size*sizeof(double),psp->error_message); - class_alloc(transfer_ic2_nc,psp->d_size*sizeof(double),psp->error_message); - } - - for (index_q=0; index_q < ptr->q_size; index_q++) { - - //q = ptr->q[index_q]; - k = ptr->k[index_md][index_q]; - - cl_integrand[index_q*cl_integrand_num_columns+0] = k; - - class_call(primordial_spectrum_at_k(ppm,index_md,linear,k,primordial_pk), - ppm->error_message, - psp->error_message); - - /* above routine checks that k>0: no possible division by zero below */ - - for (index_tt=0; index_tt < ptr->tt_size[index_md]; index_tt++) { - - transfer_ic1[index_tt] = - ptr->transfer[index_md] - [((index_ic1 * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q]; - - if (index_ic1 == index_ic2) { - transfer_ic2[index_tt] = transfer_ic1[index_tt]; - } - else { - transfer_ic2[index_tt] = ptr->transfer[index_md] - [((index_ic2 * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q]; - } - } - - /* define combinations of transfer functions */ - - if (ppt->has_cl_cmb_temperature == _TRUE_) { - - if (_scalars_) { - - transfer_ic1_temp = transfer_ic1[ptr->index_tt_t0] + transfer_ic1[ptr->index_tt_t1] + transfer_ic1[ptr->index_tt_t2]; - transfer_ic2_temp = transfer_ic2[ptr->index_tt_t0] + transfer_ic2[ptr->index_tt_t1] + transfer_ic2[ptr->index_tt_t2]; - - } - - if (_vectors_) { - - transfer_ic1_temp = transfer_ic1[ptr->index_tt_t1] + transfer_ic1[ptr->index_tt_t2]; - transfer_ic2_temp = transfer_ic2[ptr->index_tt_t1] + transfer_ic2[ptr->index_tt_t2]; - - } - - if (_tensors_) { - - transfer_ic1_temp = transfer_ic1[ptr->index_tt_t2]; - transfer_ic2_temp = transfer_ic2[ptr->index_tt_t2]; - - } - } - - if (ppt->has_cl_number_count == _TRUE_) { - - for (index_d1=0; index_d1d_size; index_d1++) { - - transfer_ic1_nc[index_d1] = 0.; - transfer_ic2_nc[index_d1] = 0.; - - if (ppt->has_nc_density == _TRUE_) { - transfer_ic1_nc[index_d1] += transfer_ic1[ptr->index_tt_density+index_d1]; - transfer_ic2_nc[index_d1] += transfer_ic2[ptr->index_tt_density+index_d1]; - } - - if (ppt->has_nc_rsd == _TRUE_) { - transfer_ic1_nc[index_d1] - += transfer_ic1[ptr->index_tt_rsd+index_d1] - + transfer_ic1[ptr->index_tt_d0+index_d1] - + transfer_ic1[ptr->index_tt_d1+index_d1]; - transfer_ic2_nc[index_d1] - += transfer_ic2[ptr->index_tt_rsd+index_d1] - + transfer_ic2[ptr->index_tt_d0+index_d1] - + transfer_ic2[ptr->index_tt_d1+index_d1]; - } - - if (ppt->has_nc_lens == _TRUE_) { - transfer_ic1_nc[index_d1] += - psp->l[index_l]*(psp->l[index_l]+1.)*transfer_ic1[ptr->index_tt_nc_lens+index_d1]; - transfer_ic2_nc[index_d1] += - psp->l[index_l]*(psp->l[index_l]+1.)*transfer_ic2[ptr->index_tt_nc_lens+index_d1]; - } - - if (ppt->has_nc_gr == _TRUE_) { - transfer_ic1_nc[index_d1] - += transfer_ic1[ptr->index_tt_nc_g1+index_d1] - + transfer_ic1[ptr->index_tt_nc_g2+index_d1] - + transfer_ic1[ptr->index_tt_nc_g3+index_d1] - + transfer_ic1[ptr->index_tt_nc_g4+index_d1] - + transfer_ic1[ptr->index_tt_nc_g5+index_d1]; - transfer_ic2_nc[index_d1] - += transfer_ic2[ptr->index_tt_nc_g1+index_d1] - + transfer_ic2[ptr->index_tt_nc_g2+index_d1] - + transfer_ic2[ptr->index_tt_nc_g3+index_d1] - + transfer_ic2[ptr->index_tt_nc_g4+index_d1] - + transfer_ic2[ptr->index_tt_nc_g5+index_d1]; - } - - } - } - - /* integrand of Cl's */ - - /* note: we must integrate - - C_l = int [4 pi dk/k calP(k) Delta1_l(q) Delta2_l(q)] - - where calP(k) is the dimensionless - power spectrum equal to a constant in the scale-invariant case, - and to P(k) = A_s k^(ns-1) otherwise and q=sqrt(k2+K) (scalars) - or sqrt(k2+2K) (vectors) or sqrt(k2+3K) (tensors) - - In the literature, people often rewrite the integral in terms - of q and absorb the Jacobian of the change of variables in a redefinition of the primodial - spectrum. Let us illustrate this for scalars: - - dk/k = kdk/k2 = qdq/k2 = dq/q * (q/k)^2 = dq/q * [q2/(q2-K)] = q2dq * 1/[q(q2-K)] - - This factor 1/[q(q2-K)] is commonly absorbed in the definition of calP. Then one would have - - C_l = int [4 pi q2 dq {A_s k^(ns-1)/[q(q2-K)]} Delta1_l(q) Delta2_l(q)] - - Sometimes in the literature, the factor (k2-3K)=(q2-4K) present - in the initial conditions of scalar transfer functions (if - normalized to curvature R=1) is also absorbed in the definition - of the power spectrum. Then the curvature power spectrum reads - - calP = (q2-4K)/[q(q2-K)] * (k/k)^ns - - In CLASS we prefer to define calP = (k/k)^ns like in the flat - case, to have the factor (q2-4K) in the initialk conditions, - and the factor 1/[q(q2-K)] doesn't need to be there since we - integrate over dk/k. - - For tensors, the change of variable described above gives a slightly different result: - - dk/k = kdk/k2 = qdq/k2 = dq/q * (q/k)^2 = dq/q * [q2/(q2-3K)] = q2dq * 1/[q(q2-3K)] - - But for tensors there are extra curvature-related correction factors to - take into account. See the comments in the perturbation module, - related to initial conditions for tensors. - - */ - - factor = 4. * _PI_ / k; - - if (psp->has_tt == _TRUE_) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_tt]= - primordial_pk[index_ic1_ic2] - * transfer_ic1_temp - * transfer_ic2_temp - * factor; - - if (psp->has_ee == _TRUE_) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_ee]= - primordial_pk[index_ic1_ic2] - * transfer_ic1[ptr->index_tt_e] - * transfer_ic2[ptr->index_tt_e] - * factor; - - if (psp->has_te == _TRUE_) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_te]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_e] + - transfer_ic1[ptr->index_tt_e] * transfer_ic2_temp) - * factor; - - if (_tensors_ && (psp->has_bb == _TRUE_)) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_bb]= - primordial_pk[index_ic1_ic2] - * transfer_ic1[ptr->index_tt_b] - * transfer_ic2[ptr->index_tt_b] - * factor; - - if (_scalars_ && (psp->has_pp == _TRUE_)) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_pp]= - primordial_pk[index_ic1_ic2] - * transfer_ic1[ptr->index_tt_lcmb] - * transfer_ic2[ptr->index_tt_lcmb] - * factor; - - if (_scalars_ && (psp->has_tp == _TRUE_)) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_tp]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_lcmb] + - transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2_temp) - * factor; - - if (_scalars_ && (psp->has_ep == _TRUE_)) - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_ep]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1[ptr->index_tt_e] * transfer_ic2[ptr->index_tt_lcmb] + - transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2[ptr->index_tt_e]) - * factor; - - if (_scalars_ && (psp->has_dd == _TRUE_)) { - index_ct=0; - for (index_d1=0; index_d1d_size; index_d1++) { - for (index_d2=index_d1; index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_dd+index_ct]= - primordial_pk[index_ic1_ic2] - * transfer_ic1_nc[index_d1] - * transfer_ic2_nc[index_d2] - * factor; - index_ct++; - } - } - } - - if (_scalars_ && (psp->has_td == _TRUE_)) { - for (index_d1=0; index_d1d_size; index_d1++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_td+index_d1]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1_temp * transfer_ic2_nc[index_d1] + - transfer_ic1_nc[index_d1] * transfer_ic2_temp) - * factor; - } - } - - if (_scalars_ && (psp->has_pd == _TRUE_)) { - for (index_d1=0; index_d1d_size; index_d1++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_pd+index_d1]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1[ptr->index_tt_lcmb] * transfer_ic2_nc[index_d1] + - transfer_ic1_nc[index_d1] * transfer_ic2[ptr->index_tt_lcmb]) - * factor; - } - } - - if (_scalars_ && (psp->has_ll == _TRUE_)) { - index_ct=0; - for (index_d1=0; index_d1d_size; index_d1++) { - for (index_d2=index_d1; index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_ll+index_ct]= - primordial_pk[index_ic1_ic2] - * transfer_ic1[ptr->index_tt_lensing+index_d1] - * transfer_ic2[ptr->index_tt_lensing+index_d2] - * factor; - index_ct++; - } - } - } - - if (_scalars_ && (psp->has_tl == _TRUE_)) { - for (index_d1=0; index_d1d_size; index_d1++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_tl+index_d1]= - primordial_pk[index_ic1_ic2] - * 0.5*(transfer_ic1_temp * transfer_ic2[ptr->index_tt_lensing+index_d1] + - transfer_ic1[ptr->index_tt_lensing+index_d1] * transfer_ic2_temp) - * factor; - } - } - - if (_scalars_ && (psp->has_dl == _TRUE_)) { - index_ct=0; - for (index_d1=0; index_d1d_size; index_d1++) { - for (index_d2=MAX(index_d1-psp->non_diag,0); index_d2<=MIN(index_d1+psp->non_diag,psp->d_size-1); index_d2++) { - cl_integrand[index_q*cl_integrand_num_columns+1+psp->index_ct_dl+index_ct]= - primordial_pk[index_ic1_ic2] - * transfer_ic1_nc[index_d1] * transfer_ic2[ptr->index_tt_lensing+index_d2] - * factor; - index_ct++; - } - } - } - } - - for (index_ct=0; index_ctct_size; index_ct++) { - - /* treat null spectra (C_l^BB of scalars, C_l^pp of tensors, etc. */ - - if ((_scalars_ && (psp->has_bb == _TRUE_) && (index_ct == psp->index_ct_bb)) || - (_tensors_ && (psp->has_pp == _TRUE_) && (index_ct == psp->index_ct_pp)) || - (_tensors_ && (psp->has_tp == _TRUE_) && (index_ct == psp->index_ct_tp)) || - (_tensors_ && (psp->has_ep == _TRUE_) && (index_ct == psp->index_ct_ep)) || - (_tensors_ && (psp->has_dd == _TRUE_) && (index_ct == psp->index_ct_dd)) || - (_tensors_ && (psp->has_td == _TRUE_) && (index_ct == psp->index_ct_td)) || - (_tensors_ && (psp->has_pd == _TRUE_) && (index_ct == psp->index_ct_pd)) || - (_tensors_ && (psp->has_ll == _TRUE_) && (index_ct == psp->index_ct_ll)) || - (_tensors_ && (psp->has_tl == _TRUE_) && (index_ct == psp->index_ct_tl)) || - (_tensors_ && (psp->has_dl == _TRUE_) && (index_ct == psp->index_ct_dl)) - ) { - - psp->cl[index_md] - [(index_l * psp->ic_ic_size[index_md] + index_ic1_ic2) * psp->ct_size + index_ct] = 0.; - - } - /* for non-zero spectra, integrate over q */ - else { - - /* spline the integrand over the whole range of k's */ - - class_call(array_spline(cl_integrand, - cl_integrand_num_columns, - ptr->q_size, - 0, - 1+index_ct, - 1+psp->ct_size+index_ct, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - /* Technical point: we will now do a spline integral over the - whole range of k's, excepted in the closed (K>0) case. In - that case, it is a bad idea to spline over the values of k - corresponding to nuindex_q_flat_approximation, to tell the integration - routine that below this index, it should treat the integral - as a trapezoidal one. For testing, one is free to set - index_q_spline to 0, to enforce spline integration - everywhere, or to (ptr->q_size-1), to enforce trapezoidal - integration everywhere. */ - - if (pba->sgnK == 1) { - index_q_spline = ptr->index_q_flat_approximation; - } - - class_call(array_integrate_all_trapzd_or_spline(cl_integrand, - cl_integrand_num_columns, - ptr->q_size, - index_q_spline, - 0, - 1+index_ct, - 1+psp->ct_size+index_ct, - &clvalue, - psp->error_message), - psp->error_message, - psp->error_message); - - /* in the closed case, instead of an integral, we have a - discrete sum. In practice, this does not matter: the previous - routine does give a correct approximation of the discrete - sum, both in the trapezoidal and spline regions. The only - error comes from the first point: the previous routine - assumes a weight for the first point which is too small - compared to what it would be in the an actual discrete - sum. The line below correct this problem in an exact way. - */ - - if (pba->sgnK == 1) { - clvalue += cl_integrand[1+index_ct] * ptr->q[0]/ptr->k[0][0]*sqrt(pba->K)/2.; - } - - /* we have the correct C_l now. We can store it in the transfer structure. */ - - psp->cl[index_md] - [(index_l * psp->ic_ic_size[index_md] + index_ic1_ic2) * psp->ct_size + index_ct] - = clvalue; - - } - } - - if (ppt->has_cl_number_count == _TRUE_) { - free(transfer_ic1_nc); - free(transfer_ic2_nc); - } - - return _SUCCESS_; - -} - -/** - * This routine computes the values of k and tau at which the matter - * power spectra \f$ P(k,\tau)\f$ and the matter transfer functions \f$ T_i(k,\tau)\f$ - * will be stored. - * - * @param pba Input: pointer to background structure (for z to tau conversion) - * @param ppt Input: pointer to perturbation structure (contain source functions) - * @param pnl Input: pointer to nonlinear structure (contain nonlinear corrections) - * @param psp Input/Output: pointer to spectra structure - * @return the error status - */ - -int spectra_k_and_tau( - struct background * pba, - struct perturbs * ppt, - struct nonlinear * pnl, - struct spectra * psp - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_k; - int index_tau; - int index_tau_min_nl; - double tau_min; - - /** - check the presence of scalar modes */ - - class_test((ppt->has_scalars == _FALSE_), - psp->error_message, - "you cannot ask for matter power spectrum since you turned off scalar modes"); - - /** - check the maximum redshift z_max_pk at which \f$P(k,z)\f$ and \f$ T_i(k,z)\f$ should be - computable by interpolation. If it is equal to zero, only \f$ P(k,z=0)\f$ - needs to be computed. If it is higher, we will store in a table - various P(k,tau) at several values of tau generously encompassing - the range 0z_max_pk < 0), - psp->error_message, - "asked for negative redshift z=%e",psp->z_max_pk); - - /* if z_max_pk=0, there is just one value to store */ - if (psp->z_max_pk == 0.) { - psp->ln_tau_size=1; - } - - /* if z_max_pk>0, store several values (with a comfortable margin above z_max_pk) in view of interpolation */ - else{ - - /* find the first relevant value of tau (last value in the table tau_ampling before tau(z_max)) and infer the number of values of tau at which P(k) must be stored */ - - class_call(background_tau_of_z(pba,psp->z_max_pk,&tau_min), - pba->error_message, - psp->error_message); - - index_tau=0; - class_test((tau_min <= ppt->tau_sampling[index_tau]), - psp->error_message, - "you asked for zmax=%e, i.e. taumin=%e, smaller than or equal to the first possible value =%e; it should be strictly bigger for a successfull interpolation",psp->z_max_pk,tau_min,ppt->tau_sampling[0]); - - while (ppt->tau_sampling[index_tau] < tau_min){ - index_tau++; - } - index_tau --; - class_test(index_tau<0, - psp->error_message, - "by construction, this should never happen, a bug must have been introduced somewhere"); - - /* whenever possible, take a few more values in to avoid boundary effects in the interpolation */ - if (index_tau>0) index_tau--; - if (index_tau>0) index_tau--; - if (index_tau>0) index_tau--; - if (index_tau>0) index_tau--; - psp->ln_tau_size=ppt->tau_size-index_tau; - - } - - /** - allocate and fill table of tau values at which \f$P(k,\tau)\f$ and \f$T_i(k,\tau)\f$ are stored */ - - class_alloc(psp->ln_tau,sizeof(double)*psp->ln_tau_size,psp->error_message); - - for (index_tau=0; index_tauln_tau_size; index_tau++) { - psp->ln_tau[index_tau]=log(ppt->tau_sampling[index_tau-psp->ln_tau_size+ppt->tau_size]); - } - - /** - allocate and fill table of k values at which \f$ P(k,\tau)\f$ is stored */ - - psp->ln_k_size = ppt->k_size[ppt->index_md_scalars]; - class_alloc(psp->ln_k,sizeof(double)*psp->ln_k_size,psp->error_message); - - for (index_k=0; index_kln_k_size; index_k++) { - class_test(ppt->k[ppt->index_md_scalars][index_k] <= 0., - psp->error_message, - "stop to avoid segmentation fault"); - psp->ln_k[index_k]=log(ppt->k[ppt->index_md_scalars][index_k]); - } - - /** - if the non-linear power spectrum is requested, we should store - it only at values of tau where non-linear corrections were - really computed and not brutally set to one. Hence we must - find here ln_tau_nl_size which might be smaller than - ln_tau_size. But the same table ln_tau will be used for - both. */ - - if (pnl->method != nl_none) { - - index_tau=ppt->tau_size-psp->ln_tau_size; - index_tau_min_nl=pnl->index_tau_min_nl; - while (ppt->tau_sampling[index_tau] < pnl->tau[index_tau_min_nl]) { - index_tau++; - } - psp->ln_tau_nl_size=ppt->tau_size-index_tau; - - class_alloc(psp->ln_tau_nl,sizeof(double)*psp->ln_tau_nl_size,psp->error_message); - - for (index_tau=0; index_tauln_tau_nl_size; index_tau++) { - psp->ln_tau_nl[index_tau]=log(ppt->tau_sampling[index_tau-psp->ln_tau_nl_size+ppt->tau_size]); - } - } - - return _SUCCESS_; -} - -/** - * This routine computes a table of values for all matter power spectra P(k), - * given the source functions and primordial spectra. - * - * @param pba Input: pointer to background structure (will provide H, Omega_m at redshift of interest) - * @param ppt Input: pointer to perturbation structure (contain source functions) - * @param ppm Input: pointer to primordial structure - * @param pnl Input: pointer to nonlinear structure - * @param psp Input/Output: pointer to spectra structure - * @return the error status - */ - -int spectra_pk( - struct background * pba, - struct perturbs * ppt, - struct primordial * ppm, - struct nonlinear *pnl, - struct spectra * psp - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int index_ic1,index_ic2,index_ic1_ic1,index_ic2_ic2,index_ic1_ic2; - int index_k; - int index_tau; - int delta_index_nl=0; - int delta_index_nl_cb=0; - double * primordial_pk; /* array with argument primordial_pk[index_ic_ic] */ - double source_ic1; - double source_ic2; - double pk_tot=0.,ln_pk_tot=0.; - double source_ic1_cb; - double source_ic2_cb; - double pk_cb_tot=0.,ln_pk_cb_tot=0.; - - /** - check the presence of scalar modes */ - - class_test((ppt->has_scalars == _FALSE_), - psp->error_message, - "you cannot ask for matter power spectrum since you turned off scalar modes"); - - index_md = psp->index_md_scalars; - - /** - allocate temporary vectors where the primordial spectrum and the background quantities will be stored */ - - class_alloc(primordial_pk,psp->ic_ic_size[index_md]*sizeof(double),psp->error_message); - - /** - allocate and fill array of \f$P(k,\tau)\f$ values */ - - class_alloc(psp->ln_pk, - sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_ic_size[index_md], - psp->error_message); - - class_alloc(psp->ln_pk_l, - sizeof(double)*psp->ln_tau_size*psp->ln_k_size, - psp->error_message); - - if (pnl->method != nl_none) { - - class_alloc(psp->ln_pk_nl, - sizeof(double)*psp->ln_tau_nl_size*psp->ln_k_size, - psp->error_message); - - /* possible index shift between the first value of time used for - the linear spectrum and that for the non-linear power - spectrum (0 if no shift) */ - delta_index_nl = psp->ln_tau_size-psp->ln_tau_nl_size; - class_test(delta_index_nl<0, - "This should never happen", - psp->error_message, - psp->error_message); - } - else { - psp->ln_pk_nl = NULL; - } - - if (pba->has_ncdm) { - - class_alloc(psp->ln_pk_cb, - sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_ic_size[index_md], - psp->error_message); - - class_alloc(psp->ln_pk_cb_l, - sizeof(double)*psp->ln_tau_size*psp->ln_k_size, - psp->error_message); - - if (pnl->method != nl_none) { - class_alloc(psp->ln_pk_cb_nl, - sizeof(double)*psp->ln_tau_nl_size*psp->ln_k_size, - psp->error_message); - /* possible index shift between the first value of time used for - the linear spectrum and that for the non-linear power - spectrum (0 if no shift) */ - /* this is not really necessary, since m and cb share the same ln_tau_nl_size and ln_tau_nl */ - delta_index_nl_cb = psp->ln_tau_size-psp->ln_tau_nl_size; - class_test(delta_index_nl_cb<0, - "This should never happen", - psp->error_message, - psp->error_message); - } - else{ - psp->ln_pk_cb_nl = NULL; - } - - } - else { - psp->ln_pk_cb = NULL; - psp->ln_pk_cb_l = NULL; - psp->ln_pk_cb_nl = NULL; - } - - for (index_tau=0 ; index_tau < psp->ln_tau_size; index_tau++) { - for (index_k=0; index_kln_k_size; index_k++) { - - class_call(primordial_spectrum_at_k(ppm,index_md,logarithmic,psp->ln_k[index_k],primordial_pk), - ppm->error_message, - psp->error_message); - - pk_tot =0; - pk_cb_tot = 0.; - /* curvature primordial spectrum: - P_R(k) = 1/(2pi^2) k^3 - so, primordial curvature correlator: - = (2pi^2) k^-3 P_R(k) - so, delta_m correlator: - P(k) = = (2pi^2) k^-3 (source_m)^2 P_R(k) - - For isocurvature or cross adiabatic-isocurvature parts, - replace one or two 'R' by 'S_i's */ - - /* part diagonal in initial conditions */ - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md]); - - source_ic1 = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + ppt->index_tp_delta_m] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] = - log(2.*_PI_*_PI_/exp(3.*psp->ln_k[index_k]) - *source_ic1*source_ic1 - *exp(primordial_pk[index_ic1_ic2])); - - pk_tot += exp(psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2]); - - if(pba->has_ncdm){ - - source_ic1_cb = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + ppt->index_tp_delta_cb] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] = - log(2.*_PI_*_PI_/exp(3.*psp->ln_k[index_k]) - *source_ic1_cb*source_ic1_cb - *exp(primordial_pk[index_ic1_ic2])); - - pk_cb_tot += exp(psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2]); - - } - - } - - /* part non-diagonal in initial conditions */ - for (index_ic1 = 0; index_ic1 < psp->ic_size[index_md]; index_ic1++) { - for (index_ic2 = index_ic1+1; index_ic2 < psp->ic_size[index_md]; index_ic2++) { - - index_ic1_ic2 = index_symmetric_matrix(index_ic1,index_ic2,psp->ic_size[index_md]); - index_ic1_ic1 = index_symmetric_matrix(index_ic1,index_ic1,psp->ic_size[index_md]); - index_ic2_ic2 = index_symmetric_matrix(index_ic2,index_ic2,psp->ic_size[index_md]); - - if (psp->is_non_zero[index_md][index_ic1_ic2] == _TRUE_) { - - source_ic1 = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + ppt->index_tp_delta_m] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - source_ic2 = ppt->sources[index_md] - [index_ic2 * ppt->tp_size[index_md] + ppt->index_tp_delta_m] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] = - primordial_pk[index_ic1_ic2]*SIGN(source_ic1)*SIGN(source_ic2); - - pk_tot += psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] - * sqrt(psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic1] - * psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic2_ic2]); - - if(pba->has_ncdm){ - - source_ic1_cb = ppt->sources[index_md] - [index_ic1 * ppt->tp_size[index_md] + ppt->index_tp_delta_cb] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - source_ic2_cb = ppt->sources[index_md] - [index_ic2 * ppt->tp_size[index_md] + ppt->index_tp_delta_cb] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] = - primordial_pk[index_ic1_ic2]*SIGN(source_ic1_cb)*SIGN(source_ic2_cb); - - pk_cb_tot += psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] - * sqrt(psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic1] - * psp->ln_pk_cb[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic2_ic2]); - - } - - } - else { - psp->ln_pk[(index_tau * psp->ln_k_size + index_k)* psp->ic_ic_size[index_md] + index_ic1_ic2] = 0.; - } - } - } - - ln_pk_tot = log(pk_tot); - - if(pba->has_ncdm) ln_pk_cb_tot = log(pk_cb_tot); - - psp->ln_pk_l[index_tau * psp->ln_k_size + index_k] = ln_pk_tot; - - if(pba->has_ncdm) psp->ln_pk_cb_l[index_tau * psp->ln_k_size + index_k] = ln_pk_cb_tot; - - /* if non-linear corrections required, compute the total non-linear matter power spectrum */ - - if ((pnl->method != nl_none) && (index_tau >= delta_index_nl)) { - - psp->ln_pk_nl[(index_tau-delta_index_nl) * psp->ln_k_size + index_k] = - ln_pk_tot - + 2.*log(pnl->nl_corr_density[pnl->index_pk_m][(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]); - - } - - if((pba->has_ncdm) && (pnl->method != nl_none) && (index_tau >= delta_index_nl_cb)){ - - psp->ln_pk_cb_nl[(index_tau-delta_index_nl_cb) * psp->ln_k_size + index_k] = - ln_pk_cb_tot - + 2.*log(pnl->nl_corr_density[pnl->index_pk_cb][(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]); - - } - - } - } - - /**- if interpolation of \f$P(k,\tau)\f$ will be needed (as a function of tau), - compute array of second derivatives in view of spline interpolation */ - - if (psp->ln_tau_size > 1) { - - class_alloc(psp->ddln_pk,sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_ic_size[index_md],psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk, - psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->ddln_pk, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_alloc(psp->ddln_pk_l,sizeof(double)*psp->ln_tau_size*psp->ln_k_size,psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_l, - psp->ln_k_size, - psp->ddln_pk_l, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - - class_alloc(psp->ddln_pk_cb,sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_ic_size[index_md],psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_cb, - psp->ic_ic_size[index_md]*psp->ln_k_size, - psp->ddln_pk_cb, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_alloc(psp->ddln_pk_cb_l,sizeof(double)*psp->ln_tau_size*psp->ln_k_size,psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau, - psp->ln_tau_size, - psp->ln_pk_cb_l, - psp->ln_k_size, - psp->ddln_pk_cb_l, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - } - - } - - /* compute sigma8 (mean variance today in sphere of radius 8/h Mpc */ - - class_call(spectra_sigma(pba,ppm,psp,8./pba->h,0.,&(psp->sigma8)), - psp->error_message, - psp->error_message); - - if (psp->spectra_verbose>0) - fprintf(stdout," -> sigma8=%g (computed till k = %g h/Mpc)\n", - psp->sigma8, - exp(psp->ln_k[psp->ln_k_size-1])/pba->h); - - if(pba->has_ncdm){ - class_call(spectra_sigma_cb(pba,ppm,psp,8./pba->h,0.,&(psp->sigma8_cb)), - psp->error_message, - psp->error_message); - if (psp->spectra_verbose>0){ - fprintf(stdout," -> sigma8 (ONLY CDM+BARYON)=%g (computed till k = %g h/Mpc)\n", - psp->sigma8_cb, - exp(psp->ln_k[psp->ln_k_size-1])/pba->h); - } - } - - /**- if interpolation of \f$ P_{NL}(k,\tau)\f$ will be needed (as a function of tau), - compute array of second derivatives in view of spline interpolation */ - - if (pnl->method != nl_none) { - if (psp->ln_tau_nl_size > 1) { - - class_alloc(psp->ddln_pk_nl,sizeof(double)*psp->ln_tau_nl_size*psp->ln_k_size,psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau_nl, - psp->ln_tau_nl_size, - psp->ln_pk_nl, - psp->ln_k_size, - psp->ddln_pk_nl, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - - class_alloc(psp->ddln_pk_cb_nl,sizeof(double)*psp->ln_tau_nl_size*psp->ln_k_size,psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau_nl, - psp->ln_tau_nl_size, - psp->ln_pk_cb_nl, - psp->ln_k_size, - psp->ddln_pk_cb_nl, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - } - } - } - - free (primordial_pk); - - return _SUCCESS_; -} - -/** - * This routine computes sigma(R) given P(k) (does not check that k_max is large - * enough) - * - * @param pba Input: pointer to background structure - * @param ppm Input: pointer to primordial structure - * @param psp Input: pointer to spectra structure - * @param z Input: redshift - * @param R Input: radius in Mpc - * @param sigma Output: variance in a sphere of radius R (dimensionless) - */ - -int spectra_sigma( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double R, - double z, - double * sigma - ) { - - double pk; - double * pk_ic = NULL; - - double pk_cb; - double * pk_cb_ic = NULL; - - double * array_for_sigma; - int index_num; - int index_k; - int index_y; - int index_ddy; - int i; - - double k,W,x; - - if (psp->ic_ic_size[psp->index_md_scalars]>1){ - class_alloc(pk_ic, - psp->ic_ic_size[psp->index_md_scalars]*sizeof(double), - psp->error_message); - if (pba->has_ncdm) - class_alloc(pk_cb_ic, - psp->ic_ic_size[psp->index_md_scalars]*sizeof(double), - psp->error_message); - } - - i=0; - index_k=i; - i++; - index_y=i; - i++; - index_ddy=i; - i++; - index_num=i; - - class_alloc(array_for_sigma, - psp->ln_k_size*index_num*sizeof(double), - psp->error_message); - - for (i=0;iln_k_size;i++) { - k=exp(psp->ln_k[i]); - if (i == (psp->ln_k_size-1)) k *= 0.9999999; // to prevent rounding error leading to k being bigger than maximum value - x=k*R; - W=3./x/x/x*(sin(x)-x*cos(x)); - class_call(spectra_pk_at_k_and_z(pba,ppm,psp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic), - psp->error_message, - psp->error_message); - array_for_sigma[i*index_num+index_k]=k; - array_for_sigma[i*index_num+index_y]=k*k*pk*W*W; - } - - class_call(array_spline(array_for_sigma, - index_num, - psp->ln_k_size, - index_k, - index_y, - index_ddy, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_integrate_all_spline(array_for_sigma, - index_num, - psp->ln_k_size, - index_k, - index_y, - index_ddy, - sigma, - psp->error_message), - psp->error_message, - psp->error_message); - - free(array_for_sigma); - - if (psp->ic_ic_size[psp->index_md_scalars]>1){ - free(pk_ic); - if (pba->has_ncdm) - free(pk_cb_ic); - } - - *sigma = sqrt(*sigma/(2.*_PI_*_PI_)); - - return _SUCCESS_; - -} - -//**/ -int spectra_sigma_cb( - struct background * pba, - struct primordial * ppm, - struct spectra * psp, - double R, - double z, - double * sigma_cb - ) { - - double pk; - double * pk_ic = NULL; - - double pk_cb; - double * pk_cb_ic = NULL; - - double * array_for_sigma; - int index_num; - int index_k; - int index_y; - int index_ddy; - int i; - - double k,W,x; - - if (psp->ic_ic_size[psp->index_md_scalars]>1){ - class_alloc(pk_ic, - psp->ic_ic_size[psp->index_md_scalars]*sizeof(double), - psp->error_message); - if (pba->has_ncdm) - class_alloc(pk_cb_ic, - psp->ic_ic_size[psp->index_md_scalars]*sizeof(double), - psp->error_message); - } - - i=0; - index_k=i; - i++; - index_y=i; - i++; - index_ddy=i; - i++; - index_num=i; - - class_alloc(array_for_sigma, - psp->ln_k_size*index_num*sizeof(double), - psp->error_message); - - for (i=0;iln_k_size;i++) { - k=exp(psp->ln_k[i]); - if (i == (psp->ln_k_size-1)) k *= 0.9999999; // to prevent rounding error leading to k being bigger than maximum value - x=k*R; - W=3./x/x/x*(sin(x)-x*cos(x)); - class_call(spectra_pk_at_k_and_z(pba,ppm,psp,k,z,&pk,pk_ic,&pk_cb,pk_cb_ic), - psp->error_message, - psp->error_message); - array_for_sigma[i*index_num+index_k]=k; - array_for_sigma[i*index_num+index_y]=k*k*pk_cb*W*W; - } - - class_call(array_spline(array_for_sigma, - index_num, - psp->ln_k_size, - index_k, - index_y, - index_ddy, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - class_call(array_integrate_all_spline(array_for_sigma, - index_num, - psp->ln_k_size, - index_k, - index_y, - index_ddy, - sigma_cb, - psp->error_message), - psp->error_message, - psp->error_message); - - free(array_for_sigma); - - if (psp->ic_ic_size[psp->index_md_scalars]>1){ - free(pk_ic); - if (pba->has_ncdm) - free(pk_cb_ic); - } - - *sigma_cb = sqrt(*sigma_cb/(2.*_PI_*_PI_)); - - return _SUCCESS_; - -} - -/** - * This routine computes a table of values for all matter power spectra P(k), - * given the source functions and primordial spectra. - * - * @param pba Input: pointer to background structure (will provide density of each species) - * @param ppt Input: pointer to perturbation structure (contain source functions) - * @param psp Input/Output: pointer to spectra structure - * @return the error status - */ - -int spectra_matter_transfers( - struct background * pba, - struct perturbs * ppt, - struct spectra * psp - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int index_ic; - int index_k; - int index_tau; - int last_index_back; - double * pvecback_sp_long; /* array with argument pvecback_sp_long[pba->index_bg] */ - double delta_i,theta_i,rho_i; - double delta_rho_tot,rho_tot; - double rho_plus_p_theta_tot,rho_plus_p_tot; - int n_ncdm; - double w_fld,dw_over_da_fld,integral_fld; - - /** - check the presence of scalar modes */ - - class_test((ppt->has_scalars == _FALSE_), - psp->error_message, - "you cannot ask for matter power spectrum since you turned off scalar modes"); - - index_md = psp->index_md_scalars; - - /** - allocate and fill array of \f$ T_i(k,\tau)\f$ values */ - - class_alloc(psp->matter_transfer,sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_size[index_md]*psp->tr_size,psp->error_message); - - /** - allocate temporary vectors where the background quantities will be stored */ - - class_alloc(pvecback_sp_long,pba->bg_size*sizeof(double),psp->error_message); - - for (index_tau=0 ; index_tau < psp->ln_tau_size; index_tau++) { - - class_call(background_at_tau(pba, - ppt->tau_sampling[index_tau-psp->ln_tau_size+ppt->tau_size], - /* for this last argument we could have passed - exp(psp->ln_tau[index_tau]) but we would then loose - precision in the exp(log(x)) operation) */ - pba->long_info, - pba->inter_normal, - &last_index_back, - pvecback_sp_long), - pba->error_message, - psp->error_message); - - for (index_k=0; index_kln_k_size; index_k++) { - - for (index_ic = 0; index_ic < psp->ic_size[index_md]; index_ic++) { - - delta_rho_tot=0.; - rho_tot=0.; - rho_plus_p_theta_tot=0.; - rho_plus_p_tot=0.; - - /* T_g(k,tau) */ - - rho_i = pvecback_sp_long[pba->index_bg_rho_g]; - - if (ppt->has_source_delta_g == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_g] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_g] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - rho_tot += rho_i; - - } - - if (ppt->has_source_theta_g == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_g] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_g] = theta_i; - - rho_plus_p_theta_tot += 4./3. * rho_i * theta_i; - - rho_plus_p_tot += 4./3. * rho_i; - - } - - /* T_b(k,tau) */ - - rho_i = pvecback_sp_long[pba->index_bg_rho_b]; - - if (ppt->has_source_delta_b == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_b] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_b] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_b == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_b] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_b] = theta_i; - - rho_plus_p_theta_tot += rho_i * theta_i; - - } - - rho_plus_p_tot += rho_i; - - /* T_cdm(k,tau) */ - - if (pba->has_cdm == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_cdm]; - - if (ppt->has_source_delta_cdm == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_cdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_cdm] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_cdm == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_cdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_cdm] = theta_i; - - rho_plus_p_theta_tot += rho_i * theta_i; - - } - - rho_plus_p_tot += rho_i; - - } - - /* T_dcdm(k,tau) */ - - if (pba->has_dcdm == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_dcdm]; - - if (ppt->has_source_delta_dcdm == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_dcdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_dcdm] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_dcdm == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_dcdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_dcdm] = theta_i; - - rho_plus_p_theta_tot += rho_i * theta_i; - - } - - rho_plus_p_tot += rho_i; - - } - - /* T_scf(k,tau) */ - - if (pba->has_scf == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_scf]; - - if (ppt->has_source_delta_scf == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_scf] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_scf] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_scf == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_scf] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_scf] = theta_i; - - rho_plus_p_theta_tot += (rho_i + pvecback_sp_long[pba->index_bg_p_scf]) * theta_i; - - } - - rho_plus_p_tot += (rho_i + pvecback_sp_long[pba->index_bg_p_scf]); - - } - - - /* T_fld(k,tau) */ - - if (pba->has_fld == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_fld]; - - class_call(background_w_fld(pba,0.,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, psp->error_message); - - if (ppt->has_source_delta_fld == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_fld] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_fld] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_fld == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_fld] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_fld] = theta_i; - - rho_plus_p_theta_tot += (1. + w_fld) * rho_i * theta_i; - - } - - rho_plus_p_tot += (1. + w_fld) * rho_i; - - } - - /* T_ur(k,tau) */ - - if (pba->has_ur == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_ur]; - - if (ppt->has_source_delta_ur == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_ur] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_ur] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_ur == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_ur] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_ur] = theta_i; - - rho_plus_p_theta_tot += 4./3. * rho_i * theta_i; - - } - - rho_plus_p_tot += 4./3. * rho_i; - - } - - /* T_dr(k,tau) */ - - if (pba->has_dr == _TRUE_) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_dr]; - - if (ppt->has_source_delta_dr == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_dr] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_dr] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_dr == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_dr] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_dr] = theta_i; - - rho_plus_p_theta_tot += 4./3. * rho_i * theta_i; - - } - - rho_plus_p_tot += 4./3. * rho_i; - - } - - /* T_ncdm_i(k,tau) */ - - if (pba->has_ncdm == _TRUE_) { - - for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { - - rho_i = pvecback_sp_long[pba->index_bg_rho_ncdm1+n_ncdm]; - - if (ppt->has_source_delta_ncdm == _TRUE_) { - - delta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_delta_ncdm1+n_ncdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_ncdm1+n_ncdm] = delta_i; - - delta_rho_tot += rho_i * delta_i; - - } - - rho_tot += rho_i; - - if (ppt->has_source_theta_ncdm == _TRUE_) { - - theta_i = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_theta_ncdm1+n_ncdm] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_ncdm1+n_ncdm] = theta_i; - - rho_plus_p_theta_tot += (rho_i + pvecback_sp_long[pba->index_bg_p_ncdm1+n_ncdm]) * theta_i; - - } - - rho_plus_p_tot += (rho_i + pvecback_sp_long[pba->index_bg_p_ncdm1+n_ncdm]); - - } - - } - - if (ppt->has_source_phi == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_phi] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_phi] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_psi == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_psi] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_psi] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_phi_prime == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_phi_prime] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_phi_prime] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_h == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_h] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_h] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_h_prime == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_h_prime] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_h_prime] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_eta == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_eta] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_eta] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - if (ppt->has_source_eta_prime == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_eta_prime] = ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + ppt->index_tp_eta_prime] - [(index_tau-psp->ln_tau_size+ppt->tau_size) * ppt->k_size[index_md] + index_k]; - - } - - /* could include homogeneous component in rho_tot if uncommented (leave commented to match CMBFAST/CAMB definition) */ - - /* if (pba->has_lambda == _TRUE_) { */ - - /* rho_i = pvecback_sp_long[pba->index_bg_rho_lambda]; */ - - /* rho_tot += rho_i; */ - /* } */ - - /* T_tot(k,tau) */ - - if (ppt->has_density_transfers == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_delta_tot] = delta_rho_tot/rho_tot; - - } - - if (ppt->has_velocity_transfers == _TRUE_) { - - psp->matter_transfer[((index_tau*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + psp->index_tr_theta_tot] = rho_plus_p_theta_tot/rho_plus_p_tot; - - } - - } - } - } - - /**- if interpolation of \f$ P(k,\tau)\f$ will be needed (as a function of tau), - compute array of second derivatives in view of spline interpolation */ - - if (psp->ln_tau_size > 1) { - - class_alloc(psp->ddmatter_transfer,sizeof(double)*psp->ln_tau_size*psp->ln_k_size*psp->ic_size[index_md]*psp->tr_size,psp->error_message); - - class_call(array_spline_table_lines(psp->ln_tau, - psp->ln_tau_size, - psp->matter_transfer, - psp->ic_size[index_md]*psp->ln_k_size*psp->tr_size, - psp->ddmatter_transfer, - _SPLINE_EST_DERIV_, - psp->error_message), - psp->error_message, - psp->error_message); - - } - - free (pvecback_sp_long); - - return _SUCCESS_; -} - -int spectra_output_tk_titles(struct background *pba, - struct perturbs *ppt, - enum file_format output_format, - char titles[_MAXTITLESTRINGLENGTH_] - ){ - int n_ncdm; - char tmp[40]; - - if (output_format == class_format) { - class_store_columntitle(titles,"k (h/Mpc)",_TRUE_); - if (ppt->has_density_transfers == _TRUE_) { - class_store_columntitle(titles,"d_g",_TRUE_); - class_store_columntitle(titles,"d_b",_TRUE_); - class_store_columntitle(titles,"d_cdm",pba->has_cdm); - class_store_columntitle(titles,"d_fld",pba->has_fld); - class_store_columntitle(titles,"d_ur",pba->has_ur); - if (pba->has_ncdm == _TRUE_) { - for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { - sprintf(tmp,"d_ncdm[%d]",n_ncdm); - class_store_columntitle(titles,tmp,_TRUE_); - } - } - class_store_columntitle(titles,"d_dcdm",pba->has_dcdm); - class_store_columntitle(titles,"d_dr",pba->has_dr); - class_store_columntitle(titles,"d_scf",pba->has_scf); - class_store_columntitle(titles,"d_tot",_TRUE_); - class_store_columntitle(titles,"phi",ppt->has_source_phi); - class_store_columntitle(titles,"psi",ppt->has_source_psi); - class_store_columntitle(titles,"phi_prime",ppt->has_source_phi_prime); - class_store_columntitle(titles,"h",ppt->has_source_h); - class_store_columntitle(titles,"h_prime",ppt->has_source_h_prime); - class_store_columntitle(titles,"eta",ppt->has_source_eta); - class_store_columntitle(titles,"eta_prime",ppt->has_source_eta_prime); - } - if (ppt->has_velocity_transfers == _TRUE_) { - class_store_columntitle(titles,"t_g",_TRUE_); - class_store_columntitle(titles,"t_b",_TRUE_); - class_store_columntitle(titles,"t_cdm",((pba->has_cdm == _TRUE_) && (ppt->gauge != synchronous))); - class_store_columntitle(titles,"t_fld",pba->has_fld); - class_store_columntitle(titles,"t_ur",pba->has_ur); - if (pba->has_ncdm == _TRUE_) { - for (n_ncdm=0; n_ncdm < pba->N_ncdm; n_ncdm++) { - sprintf(tmp,"t_ncdm[%d]",n_ncdm); - class_store_columntitle(titles,tmp,_TRUE_); - } - } - class_store_columntitle(titles,"t_dcdm",pba->has_dcdm); - class_store_columntitle(titles,"t_dr",pba->has_dr); - class_store_columntitle(titles,"t__scf",pba->has_scf); - class_store_columntitle(titles,"t_tot",_TRUE_); - } - } - - else if (output_format == camb_format) { - - class_store_columntitle(titles,"k (h/Mpc)",_TRUE_); - class_store_columntitle(titles,"-T_cdm/k2",_TRUE_); - class_store_columntitle(titles,"-T_b/k2",_TRUE_); - class_store_columntitle(titles,"-T_g/k2",_TRUE_); - class_store_columntitle(titles,"-T_ur/k2",_TRUE_); - class_store_columntitle(titles,"-T_ncdm/k2",_TRUE_); - class_store_columntitle(titles,"-T_tot/k2",_TRUE_); - - } - - return _SUCCESS_; - -} - -int spectra_output_tk_data( - struct background * pba, - struct perturbs * ppt, - struct spectra * psp, - enum file_format output_format, - double z, - int number_of_titles, - double *data - ) { - - int n_ncdm; - double k, k_over_h, k2; - double * tkfull=NULL; /* array with argument - pk_ic[(index_k * psp->ic_size[index_md] + index_ic)*psp->tr_size+index_tr] */ - double *tk; - double *dataptr; - - int index_md=0; - int index_ic; - int index_k; - int index_tr; - int storeidx; - - if (psp->ln_k_size*psp->ic_size[index_md]*psp->tr_size > 0){ - class_alloc(tkfull, - psp->ln_k_size*psp->ic_size[index_md]*psp->tr_size*sizeof(double), - psp->error_message); - } - - /** - compute \f$T_i(k)\f$ for each k (if several ic's, compute it for each ic; if z_pk = 0, this is done by directly reading inside the pre-computed table; if not, this is done by interpolating the table at the correct value of tau. */ - - /* if z_pk = 0, no interpolation needed */ - - if (z == 0.) { - - for (index_k=0; index_kln_k_size; index_k++) { - for (index_tr=0; index_trtr_size; index_tr++) { - for (index_ic=0; index_icic_size[index_md]; index_ic++) { - tkfull[(index_k * psp->ic_size[index_md] + index_ic) * psp->tr_size + index_tr] = psp->matter_transfer[(((psp->ln_tau_size-1)*psp->ln_k_size + index_k) * psp->ic_size[index_md] + index_ic) * psp->tr_size + index_tr]; - } - } - } - } - - /* if 0 <= z_pk <= z_max_pk, interpolation needed, */ - else { - - class_call(spectra_tk_at_z(pba, - psp, - z, - tkfull), - psp->error_message, - psp->error_message); - } - - /** - store data */ - - for (index_ic = 0; index_ic < psp->ic_size[index_md]; index_ic++) { - - for (index_k=0; index_kln_k_size; index_k++) { - - storeidx = 0; - dataptr = data+index_ic*(psp->ln_k_size*number_of_titles)+index_k*number_of_titles; - tk = &(tkfull[(index_k * psp->ic_size[index_md] + index_ic) * psp->tr_size]); - k = exp(psp->ln_k[index_k]); - k2 = k*k; - k_over_h = k/pba->h; - - class_store_double(dataptr, k_over_h, _TRUE_,storeidx); - - /* indices for species associated with a velocity transfer function in Fourier space */ - - if (output_format == class_format) { - - if (ppt->has_density_transfers == _TRUE_) { - - class_store_double(dataptr,tk[psp->index_tr_delta_g],ppt->has_source_delta_g,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_b],ppt->has_source_delta_b,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_cdm],ppt->has_source_delta_cdm,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_fld],ppt->has_source_delta_fld,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_ur],ppt->has_source_delta_ur,storeidx); - if (pba->has_ncdm == _TRUE_){ - for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ - class_store_double(dataptr,tk[psp->index_tr_delta_ncdm1+n_ncdm],ppt->has_source_delta_ncdm,storeidx); - } - } - class_store_double(dataptr,tk[psp->index_tr_delta_dcdm],ppt->has_source_delta_dcdm,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_dr],ppt->has_source_delta_dr,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_scf],ppt->has_source_delta_scf,storeidx); - class_store_double(dataptr,tk[psp->index_tr_delta_tot],_TRUE_,storeidx); - class_store_double(dataptr,tk[psp->index_tr_phi],ppt->has_source_phi,storeidx); - class_store_double(dataptr,tk[psp->index_tr_psi],ppt->has_source_psi,storeidx); - class_store_double(dataptr,tk[psp->index_tr_phi_prime],ppt->has_source_phi_prime,storeidx); - class_store_double(dataptr,tk[psp->index_tr_h],ppt->has_source_h,storeidx); - class_store_double(dataptr,tk[psp->index_tr_h_prime],ppt->has_source_h_prime,storeidx); - class_store_double(dataptr,tk[psp->index_tr_eta],ppt->has_source_eta,storeidx); - class_store_double(dataptr,tk[psp->index_tr_eta_prime],ppt->has_source_eta_prime,storeidx); - } - if (ppt->has_velocity_transfers == _TRUE_) { - - class_store_double(dataptr,tk[psp->index_tr_theta_g],ppt->has_source_theta_g,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_b],ppt->has_source_theta_b,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_cdm],ppt->has_source_theta_cdm,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_fld],ppt->has_source_theta_fld,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_ur],ppt->has_source_theta_ur,storeidx); - if (pba->has_ncdm == _TRUE_){ - for (n_ncdm = 0; n_ncdm < pba->N_ncdm; n_ncdm++){ - class_store_double(dataptr,tk[psp->index_tr_theta_ncdm1+n_ncdm],ppt->has_source_theta_ncdm,storeidx); - } - } - class_store_double(dataptr,tk[psp->index_tr_theta_dcdm],ppt->has_source_theta_dcdm,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_dr],ppt->has_source_theta_dr,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_scf],ppt->has_source_theta_scf,storeidx); - class_store_double(dataptr,tk[psp->index_tr_theta_tot],_TRUE_,storeidx); - - } - - } - else if (output_format == camb_format) { - - /* rescale and reorder the matter transfer functions following the CMBFAST/CAMB convention */ - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_cdm]/k2,ppt->has_source_delta_cdm,storeidx,0.0); - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_b]/k2,ppt->has_source_delta_b,storeidx,0.0); - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_g]/k2,ppt->has_source_delta_g,storeidx,0.0); - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_ur]/k2,ppt->has_source_delta_ur,storeidx,0.0); - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_ncdm1]/k2,ppt->has_source_delta_ncdm,storeidx,0.0); - class_store_double_or_default(dataptr,-tk[psp->index_tr_delta_tot]/k2,_TRUE_,storeidx,0.0); - } - } - } - - //Necessary because the size could be zero (if psp->tr_size is zero) - if (tkfull != NULL) - free(tkfull); - - return _SUCCESS_; -} - -int spectra_firstline_and_ic_suffix(struct perturbs *ppt, - int index_ic, - char first_line[_LINE_LENGTH_MAX_], - FileName ic_suffix){ - - first_line[0]='\0'; - ic_suffix[0]='\0'; - - - if ((ppt->has_ad == _TRUE_) && (index_ic == ppt->index_ic_ad)) { - strcpy(ic_suffix,"ad"); - strcpy(first_line,"for adiabatic (AD) mode (normalized to initial curvature=1) "); - } - - if ((ppt->has_bi == _TRUE_) && (index_ic == ppt->index_ic_bi)) { - strcpy(ic_suffix,"bi"); - strcpy(first_line,"for baryon isocurvature (BI) mode (normalized to initial entropy=1)"); - } - - if ((ppt->has_cdi == _TRUE_) && (index_ic == ppt->index_ic_cdi)) { - strcpy(ic_suffix,"cdi"); - strcpy(first_line,"for CDM isocurvature (CDI) mode (normalized to initial entropy=1)"); - } - - if ((ppt->has_nid == _TRUE_) && (index_ic == ppt->index_ic_nid)) { - strcpy(ic_suffix,"nid"); - strcpy(first_line,"for neutrino density isocurvature (NID) mode (normalized to initial entropy=1)"); - } - - if ((ppt->has_niv == _TRUE_) && (index_ic == ppt->index_ic_niv)) { - strcpy(ic_suffix,"niv"); - strcpy(first_line,"for neutrino velocity isocurvature (NIV) mode (normalized to initial entropy=1)"); - } - return _SUCCESS_; -} - -int spectra_fast_pk_at_kvec_and_zvec( - struct background * pba, - struct spectra * psp, - double * kvec, - int kvec_size, - double * zvec, - int zvec_size, - double * pk_tot_out, /* (must be already allocated with kvec_size*zvec_size) */ - double * pk_cb_tot_out, - int nonlinear - ) { - - /** Summary: */ - - /** - define local variables */ - - int index_md; - int index_k, index_knode, index_z; - double *spline, *pk_at_k, *ln_kvec, *ln_pk_table; - double h, a, b; - double *spline_cb, *pk_cb_at_k, *ln_pk_cb_table; - - index_md = psp->index_md_scalars; - class_test(psp->ic_size[index_md] != 1, - psp->error_message, - "This function has only been coded for pure adiabatic ICs, sorry."); - - /** Compute spline over ln(k) */ - class_alloc(ln_kvec, sizeof(double)*kvec_size,psp->error_message); - class_alloc(ln_pk_table, sizeof(double)*psp->ln_k_size*zvec_size,psp->error_message); - class_alloc(spline, sizeof(double)*psp->ln_k_size*zvec_size,psp->error_message); - class_alloc(pk_at_k, sizeof(double)*psp->ln_tau_size,psp->error_message); - - class_alloc(ln_pk_cb_table, sizeof(double)*psp->ln_k_size*zvec_size,psp->error_message); - class_alloc(spline_cb, sizeof(double)*psp->ln_k_size*zvec_size,psp->error_message); - class_alloc(pk_cb_at_k, sizeof(double)*psp->ln_tau_size,psp->error_message); - - /** Construct table of log(pk) on the computed k nodes but requested redshifts: */ - for (index_z=0; index_zln_k_size,ln_pk_cb_table+index_z*psp->ln_k_size), - psp->error_message, - psp->error_message); - } - else{ - class_call(spectra_pk_at_z(pba,psp, logarithmic,zvec[index_z],ln_pk_table+index_z*psp->ln_k_size, NULL,ln_pk_cb_table+index_z*psp->ln_k_size,NULL), - psp->error_message, - psp->error_message); - } - } - - class_call(array_spline_table_columns2(psp->ln_k, - psp->ln_k_size, - ln_pk_table, - zvec_size, - spline, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - - if(pba->has_ncdm){ - class_call(array_spline_table_columns2(psp->ln_k, - psp->ln_k_size, - ln_pk_cb_table, - zvec_size, - spline_cb, - _SPLINE_NATURAL_, - psp->error_message), - psp->error_message, - psp->error_message); - } - /** Construct ln(kvec): */ - for (index_k=0; index_k= psp->ln_k[0]) - break; - for (index_z = 0; index_z < zvec_size; index_z++) { - /** If needed, add some extrapolation here */ - pk_tot_out[index_z*kvec_size+index_k] = 0.; - if(pba->has_ncdm) pk_cb_tot_out[index_z*kvec_size+index_k] = 0.; - } - /** Implement some extrapolation perhaps */ - } - - /** Case kmin<=k<=kmax. Do not loop through kvec, but loop through the - interpolation nodes. */ - for (index_knode=0; index_knode < (psp->ln_k_size-1); index_knode++){ - /** Loop through k's that fall in this interval */ - //printf("index _k is %d, do we have %g < %g <%g?\n",index_k, psp->ln_k[index_knode],ln_kvec[index_k],psp->ln_k[index_knode+1]); - while ((index_k < kvec_size) && (ln_kvec[index_k] <= psp->ln_k[index_knode+1])){ - /** Perform interpolation */ - h = psp->ln_k[index_knode+1]-psp->ln_k[index_knode]; - b = (ln_kvec[index_k] - psp->ln_k[index_knode])/h; - a = 1.-b; - for (index_z = 0; index_z < zvec_size; index_z++) { - pk_tot_out[index_z*kvec_size+index_k] = - exp( - a * ln_pk_table[index_z*psp->ln_k_size + index_knode] - + b * ln_pk_table[index_z*psp->ln_k_size + index_knode+1] - + ((a*a*a-a) * spline[index_z*psp->ln_k_size + index_knode] - +(b*b*b-b) * spline[index_z*psp->ln_k_size + index_knode+1])*h*h/6.0 - ); - if(pba->has_ncdm){ - pk_cb_tot_out[index_z*kvec_size+index_k] = - exp( - a * ln_pk_cb_table[index_z*psp->ln_k_size + index_knode] - + b * ln_pk_cb_table[index_z*psp->ln_k_size + index_knode+1] - + ((a*a*a-a) * spline_cb[index_z*psp->ln_k_size + index_knode] - +(b*b*b-b) * spline_cb[index_z*psp->ln_k_size + index_knode+1])*h*h/6.0 - ); - } - } - index_k++; - } - } - - /** case k>kmax */ - while (index_khas_ncdm) pk_cb_tot_out[index_z*kvec_size+index_k] = 0.; - } - index_k++; - } - - free(ln_kvec); - free(ln_pk_table); - free(ln_pk_cb_table); - free(spline); - if(pba->has_ncdm) free(spline_cb); - free(pk_at_k); - return _SUCCESS_; -} diff --git a/source/thermodynamics.c b/source/thermodynamics.c old mode 100755 new mode 100644 index 426402f7..b5cda4a5 --- a/source/thermodynamics.c +++ b/source/thermodynamics.c @@ -1,6 +1,8 @@ /** @file thermodynamics.c Documented thermodynamics module * - * Julien Lesgourgues, 6.09.2010 + * * Julien Lesgourgues, 6.09.2010 + * * Restructured by Nils Schoeneberg and Matteo Lucca, 27.02.2019 + * * Evolver implementation by Daniel Meinert, spring 2019 * * Deals with the thermodynamical evolution. * This module has two purposes: @@ -8,112 +10,71 @@ * - at the beginning, to initialize the thermodynamics, i.e. to * integrate the thermodynamical equations, and store all * thermodynamical quantities as a function of redshift inside an - * interpolation table. The current version of recombination is - * based on RECFAST v1.5. The current version of reionization is - * based on exactly the same reionization function as in CAMB, in - * order to make allow for comparison. It should be easy to - * generalize the module to more complicated reionization histories. + * interpolation table. * * - to provide a routine which allow other modules to evaluate any * thermodynamical quantities at a given redshift value (by * interpolating within the interpolation table). * - * - * The logic is the following: - * - * - in a first step, the code assumes that there is no reionization, - * and computes the ionization fraction, Thomson scattering rate, - * baryon temperature, etc., using RECFAST. The result is stored in - * a temporary table 'recombination_table' (within a temporary - * structure of type 'recombination') for each redshift in a range 0 - * < z < z_initial. The sampling in z space is done with a simple - * linear step size. - * - in a second step, the code adds the reionization history, - * starting from a redshift z_reio_start. The ionization fraction at - * this redshift is read in the previous recombination table in - * order to ensure a perfect matching. The code computes the - * ionization fraction, Thomson scattering rate, baryon temperature, - * etc., using a given parametrization of the reionization - * history. The result is stored in a temporary table - * 'reionization_table' (within a temporary structure of type - * 'reionization') for each redshift in the range 0 < z < - * z_reio_start. The sampling in z space is found automatically, - * given the precision parameter 'reionization_sampling'. - * - * - in a third step, the code merges the two tables - * 'recombination_table' and 'reionization_table' inside the table - * 'thermodynamics_table', and the temporary structures - * 'recombination' and 'reionization' are freed. In - * 'thermodynamics_table', the sampling in z space is the one - * defined in the recombination algorithm for z_reio_start < z < - * z_initial, and the one defined in the reionization algorithm for - * 0 < z < z_reio_start. - * - * - at this stage, only a few columns in the table - * 'thermodynamics_table' have been filled. In a fourth step, the - * remaining columns are filled, using some numerical - * integration/derivation routines from the 'array.c' tools module. - * - * - small detail: one of the columns contains the maximum variation - * rate of a few relevant thermodynamical quantities. This rate - * will be used for defining automatically the sampling step size in - * the perturbation module. Hence, the exact value of this rate is - * unimportant, but its order of magnitude at a given z defines the - * sampling precision of the perturbation module. Hence, it is - * harmless to use a smoothing routine in order to make this rate - * look nicer, although this will not affect the final result - * significantly. The last step in the thermodynamics_init module is - * to perform this smoothing. + * The most important differential equations to compute the free + * electron fraction x at each step are provided either by the HyRec + * 2020 or RecFastCLASS code, located in the external/ directory. The + * thermodynamics module integrates these equations using the generic + * integrator (which can be set to ndf15, rkck4, etc.) The HyRec and + * RecFastCLASS algorithms are used and called in the same way by this + * module. * * In summary, the following functions can be called from other modules: * - * -# thermodynamics_init() at the beginning (but after background_init()) - * -# thermodynamics_at_z() at any later time - * -# thermodynamics_free() at the end, when no more calls to thermodynamics_at_z() are needed + * -# thermodynamics_init at the beginning (but after background_init) + * -# thermodynamics_at_z at any later time + * -# thermodynamics_free at the end, when no more calls to thermodynamics_at_z are needed */ #include "thermodynamics.h" -#ifdef HYREC -#include "hyrec.h" -#endif +#include "history.h" +#include "hyrectools.h" +#include "helium.h" +#include "wrap_hyrec.h" + /** * Thermodynamics quantities at given redshift z. + * Evaluates all thermodynamics quantities at a given value of the redshift by reading the pre-computed table and interpolating. * - * Evaluates all thermodynamics quantities at a given value of - * the redshift by reading the pre-computed table and interpolating. - * - * @param pba Input: pointer to background structure - * @param pth Input: pointer to the thermodynamics structure (containing pre-computed table) - * @param z Input: redshift - * @param inter_mode Input: interpolation mode (normal or growing_closeby) - * @param last_index Input/Output: index of the previous/current point in the interpolation array (input only for closeby mode, output for both) - * @param pvecback Input: vector of background quantities (used only in case z>z_initial for getting ddkappa and dddkappa; in that case, should be already allocated and filled, with format short_info or larger; in other cases, will be ignored) + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure (containing pre-computed table) + * @param z Input: redshift + * @param inter_mode Input: interpolation mode (normal or growing_closeby) + * @param last_index Input/Output: index of the previous/current point in the interpolation array (input only for closeby mode, output for both) + * @param pvecback Input: vector of background quantities (used only in case z>z_initial for getting ddkappa and dddkappa; in that case, + should be already allocated (!) and filled (!), with format short_info or larger; in other cases, will be ignored) * @param pvecthermo Output: vector of thermodynamics quantities (assumed to be already allocated) * @return the error status */ int thermodynamics_at_z( struct background * pba, - struct thermo * pth, + struct thermodynamics * pth, double z, - short inter_mode, + enum interpolation_method inter_mode, int * last_index, - double * pvecback, + double * pvecback, //should be filled for z>z_initial! double * pvecthermo ) { /** Summary: */ /** - define local variables */ - double x0; + /* Dark matter baryon scattering */ + double Vrms_idm_b2, T_diff_idm_b, m_b, FHe; + /* Varying fundamental constants */ + double sigmaTrescale = 1., alpha = 1., me = 1.; - /* - the fact that z is in the pre-computed range 0 <= z <= z_initial - will be checked in the interpolation routines below. Before - trying to interpolate, allow the routine to deal with the case z - > z_intial: then, all relevant quantities can be extrapolated + /* The fact that z is in the pre-computed range 0 <= z <= z_initial will be checked in the interpolation routines below. Before + trying to interpolate, allow the routine to deal with the case z > z_initial: then, all relevant quantities can be extrapolated using simple analytic approximations */ if (z >= pth->z_table[pth->tt_size-1]) { @@ -122,8 +83,16 @@ int thermodynamics_at_z( x0= pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_xe]; pvecthermo[pth->index_th_xe] = x0; + /* In the case of varying fundamental constants, compute correction factor (according to 1705.03925) */ + if (pth->has_varconst == _TRUE_) { + class_call(background_varconst_of_z(pba, z, &alpha, &me), + pba->error_message, + pth->error_message); + sigmaTrescale = alpha*alpha/me/me; + } + /* Calculate dkappa/dtau (dkappa/dtau = a n_e x_e sigma_T = a^{-2} n_e(today) x_e sigma_T in units of 1/Mpc) */ - pvecthermo[pth->index_th_dkappa] = (1.+z) * (1.+z) * pth->n_e * x0 * _sigma_ * _Mpc_over_m_; + pvecthermo[pth->index_th_dkappa] = (1.+z) * (1.+z) * pth->n_e * x0 * sigmaTrescale * _sigma_ * _Mpc_over_m_; /* tau_d scales like (1+z)**2 */ pvecthermo[pth->index_th_tau_d] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_tau_d]*pow((1+z)/(1.+pth->z_table[pth->tt_size-1]),2); @@ -132,7 +101,6 @@ int thermodynamics_at_z( /* r_d scales like (1+z)**-3/2 */ pvecthermo[pth->index_th_r_d] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_r_d]*pow((1+z)/(1.+pth->z_table[pth->tt_size-1]),-1.5); - } /* Calculate d2kappa/dtau2 = dz/dtau d/dz[dkappa/dtau] given that [dkappa/dtau] proportional to (1+z)^2 and dz/dtau = -H */ @@ -141,23 +109,27 @@ int thermodynamics_at_z( /* Calculate d3kappa/dtau3 given that [dkappa/dtau] proportional to (1+z)^2 */ pvecthermo[pth->index_th_dddkappa] = (pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H]/ (1.+z) - pvecback[pba->index_bg_H_prime]) * 2. / (1.+z) * pvecthermo[pth->index_th_dkappa]; - /* \f$ exp^{-\kappa}, g, g', g'' \f$ can be set to zero: they are - used only for computing the source functions in the - perturbation module; but source functions only need to be - sampled below z_initial (the condition that - z_start_sourcesindex_th_exp_m_kappa] = 0.; pvecthermo[pth->index_th_g]=0.; pvecthermo[pth->index_th_dg]=0.; pvecthermo[pth->index_th_ddg]=0.; - /* Calculate Tb */ + /* Calculate Tb assuming Tb ~ T_g at early times */ pvecthermo[pth->index_th_Tb] = pba->T_cmb*(1.+z); + /* Tb derivative */ + pvecthermo[pth->index_th_dTb] = pba->T_cmb; + + /* Calculate baryon equation of state parameter wb = (k_B/mu) Tb */ + /* note that m_H / mu = 1 + (m_H/m_He-1) Y_p + x_e (1-Y_p) */ + pvecthermo[pth->index_th_wb] = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * pth->YHe + x0 * (1.-pth->YHe)) * pba->T_cmb * (1.+z); + /* Calculate cb2 (cb2 = (k_B/mu) Tb (1-1/3 dlnTb/dlna) = (k_B/mu) Tb (1+1/3 (1+z) dlnTb/dz)) */ /* note that m_H / mu = 1 + (m_H/m_He-1) Y_p + x_e (1-Y_p) */ - pvecthermo[pth->index_th_cb2] = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * pth->YHe + x0 * (1.-pth->YHe)) * pba->T_cmb * (1.+z) * 4. / 3.; + pvecthermo[pth->index_th_cb2] = pvecthermo[pth->index_th_wb] * 4. / 3.; /* derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested) */ if (pth->compute_cb2_derivatives == _TRUE_) { @@ -172,11 +144,87 @@ int thermodynamics_at_z( /* in this regime, variation rate = dkappa/dtau */ pvecthermo[pth->index_th_rate] = pvecthermo[pth->index_th_dkappa]; + /* Quantities related to idm */ + if (pba->has_idm == _TRUE_) { + + /* Temperature and sound speed of idm (assuming T_idm ~ T_g at early times) */ + pvecthermo[pth->index_th_T_idm] = pba->T_cmb* (1+z); + pvecthermo[pth->index_th_c2_idm] = _k_B_ * pba->T_cmb*(1+z)/(pth->m_idm*_eV_) * (1 - (1.+z)/3./pvecback[pba->index_bg_H]); + + /* For DM-g calculate at early times the optical depth parameters */ + if (pth->has_idm_g == _TRUE_) { + /* calculate dmu_idm_g and its derivatives */ + pvecthermo[pth->index_th_dmu_idm_g] = 3./8./_PI_/_G_*pow(1.+z, 2+pth->n_index_idm_g)*pba->Omega0_idm*pba->H0*pba->H0*pth->u_idm_g*pow(_c_,4)*_sigma_/1.e11/_eV_/_Mpc_over_m_; + pvecthermo[pth->index_th_ddmu_idm_g] = -(2.+pth->n_index_idm_g) * pvecback[pba->index_bg_H] * pvecback[pba->index_bg_a] * pvecthermo[pth->index_th_dmu_idm_g]; + pvecthermo[pth->index_th_dddmu_idm_g] = (2.+pth->n_index_idm_g)*pvecthermo[pth->index_th_dmu_idm_g]/(1.+z) * + (pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H]/(1.+z) * (1.+pth->n_index_idm_g) - pvecback[pba->index_bg_H_prime]); + /* extrapolate optical depth of idm_g */ + if (pth->n_index_idm_g == -1){ + pvecthermo[pth->index_th_exp_mu_idm_g] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_exp_mu_idm_g] * exp( - pvecthermo[pth->index_th_dmu_idm_g] *pow(1.+z, -2-pth->n_index_idm_g) * log((1.+z)/(1.+pth->z_table[pth->tt_size-1]))*(1.+z)*(1.+z)/pvecback[pba->index_bg_H]); + } + else{ + pvecthermo[pth->index_th_exp_mu_idm_g] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_exp_mu_idm_g] * exp( - pvecthermo[pth->index_th_dmu_idm_g] *pow(1.+z, -2-pth->n_index_idm_g) /(1.+pth->n_index_idm_g) * (pow(1.+z,pth->n_index_idm_g+1)-pow(1.+pth->z_table[pth->tt_size-1],pth->n_index_idm_g+1))*(1.+z)*(1.+z)/pvecback[pba->index_bg_H] ); + } + } + + /* For idm_b calculate at early times the interaction rate parameters */ + if (pth->has_idm_b == _TRUE_){ + + /* some constants used in the scattering rate and temperatures */ + FHe = 1-pth->YHe; + m_b = _m_p_*_c_*_c_/_eV_; + Vrms_idm_b2 = 1.e-8; /* approximation for V_rms at early times */ + T_diff_idm_b = (pvecthermo[pth->index_th_Tb]*_k_B_/_eV_/m_b)+(pvecthermo[pth->index_th_T_idm]*_k_B_/_eV_/pth->m_idm)+(Vrms_idm_b2/3.0); /* T and m are all in eV */ + + /* Now compute the coupling coefficients */ + pvecthermo[pth->index_th_R_idm_b] = (pvecback[pba->index_bg_a]*pvecback[pba->index_bg_rho_b]*pth->cross_idm_b*pth->n_coeff_idm_b/(m_b+pth->m_idm)) + *pow(T_diff_idm_b,(pth->n_index_idm_b+1.0)/2.0)*FHe + *(3.e-4*pow(_c_,4.)/(8.*_PI_*_Mpc_over_m_*_G_*_eV_)); /* conversion coefficient for the units */ + pvecthermo[pth->index_th_dR_idm_b] = pvecthermo[pth->index_th_R_idm_b] * pvecback[pba->index_bg_a] * pvecback[pba->index_bg_H] + * ( -2. - (1.+z) * (pth->n_index_idm_b+1.0)/2.0 * (pba->T_cmb*_k_B_/_eV_/m_b + pba->T_cmb*_k_B_/_eV_/pth->m_idm)/T_diff_idm_b); + } + + /* For idm_dr calculate at early times the optical depth parameters */ + if (pth->has_idm_dr == _TRUE_){ + /* calculate dmu_idm_dr and its derivatives */ + pvecthermo[pth->index_th_dmu_idm_dr] = pth->a_idm_dr*pow((1.+z)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idm*pow(pba->h,2); + pvecthermo[pth->index_th_ddmu_idm_dr] = -pvecback[pba->index_bg_H] * pth->n_index_idm_dr / (1+z) * pvecthermo[pth->index_th_dmu_idm_dr]; + pvecthermo[pth->index_th_dddmu_idm_dr] = (pvecback[pba->index_bg_H]*pvecback[pba->index_bg_H]/ (1.+z) * (pth->n_index_idm_dr - 1.) - pvecback[pba->index_bg_H_prime]) + * pth->n_index_idm_dr / (1.+z) * pvecthermo[pth->index_th_dmu_idm_dr]; + + /* extrapolate optical depth of idm_dr and idr */ + if (pth->n_index_idm_dr == 1 ){ + pvecthermo[pth->index_th_tau_idr] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_tau_idr]+pvecthermo[pth->index_th_dmu_idm_dr] * pow(1.+z, - pth->n_index_idm_dr) * log((1.+z)/(1.+pth->z_table[pth->tt_size-1]))/(pvecback[pba->index_bg_H]/(1.+z)/(1.+z)); + } + else{ + pvecthermo[pth->index_th_tau_idr] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_tau_idr]+pvecthermo[pth->index_th_dmu_idm_dr] * pow(1.+z, - pth->n_index_idm_dr)/(1.-pth->n_index_idm_dr) * (pow(1.+pth->z_table[pth->tt_size-1], pth->n_index_idm_dr -1) - pow(1.+z, pth->n_index_idm_dr -1))/(pvecback[pba->index_bg_H]/(1.+z)/(1.+z)); + } + + if (pth->n_index_idm_dr == 0 ){ + pvecthermo[pth->index_th_tau_idm_dr] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_tau_idm_dr]+pvecthermo[pth->index_th_dmu_idm_dr] * pow(1.+z, - pth->n_index_idm_dr) * 4./3. * pba->Omega0_idr/pba->Omega0_idm * log((1.+z)/(1.+pth->z_table[pth->tt_size-1]))/(pvecback[pba->index_bg_H]/(1.+z)/(1.+z)); + } + else{ + pvecthermo[pth->index_th_tau_idm_dr] = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_tau_idm_dr]+pvecthermo[pth->index_th_dmu_idm_dr] * pow(1.+z, - pth->n_index_idm_dr) * 4./3. * pba->Omega0_idr/pba->Omega0_idm /(-pth->n_index_idm_dr) * (pow(1.+pth->z_table[pth->tt_size-1], pth->n_index_idm_dr) - pow(1.+z, pth->n_index_idm_dr))/(pvecback[pba->index_bg_H]/(1.+z)/(1.+z)); + } + + /* extrapolate idm_dr visibility function */ + pvecthermo[pth->index_th_g_idm_dr] = pvecthermo[pth->index_th_dmu_idm_dr] * 4./3. * pba->Omega0_idr/pba->Omega0_idm * (1.+z) * exp(-pvecthermo[pth->index_th_tau_idm_dr]); + } + + } + + /* Quantities related to idr */ + if (pba->has_idr == _TRUE_) { + + /* Use the temperature scaling assumed throughout */ + pvecthermo[pth->index_th_T_idr] = pba->T_idr* (1+z); + + /* calculate dmu_idr (self interaction) */ + pvecthermo[pth->index_th_dmu_idr] = pth->b_idr*pow((1.+z)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idr*pow(pba->h,2); + } } - /** - interpolate in table with array_interpolate_spline() (normal - mode) or array_interpolate_spline_growing_closeby() (closeby - mode) */ + /** - interpolate in table with array_interpolate_spline (normal mode) or array_interpolate_spline_growing_closeby (closeby mode) */ else { @@ -184,8 +232,7 @@ int thermodynamics_at_z( if (((pth->reio_parametrization == reio_half_tanh) && (z < 2*pth->z_reio)) || ((pth->reio_parametrization == reio_inter) && (z < 50.))) { - class_call(array_interpolate_linear( - pth->z_table, + class_call(array_interpolate_linear(pth->z_table, pth->tt_size, pth->thermodynamics_table, pth->th_size, @@ -201,10 +248,9 @@ int thermodynamics_at_z( /* in the "normal" case, use spline interpolation */ else { - if (inter_mode == pth->inter_normal) { + if (inter_mode == inter_normal) { - class_call(array_interpolate_spline( - pth->z_table, + class_call(array_interpolate_spline(pth->z_table, pth->tt_size, pth->thermodynamics_table, pth->d2thermodynamics_dz2_table, @@ -218,10 +264,9 @@ int thermodynamics_at_z( pth->error_message); } - if (inter_mode == pth->inter_closeby) { + if (inter_mode == inter_closeby) { - class_call(array_interpolate_spline_growing_closeby( - pth->z_table, + class_call(array_interpolate_spline_growing_closeby(pth->z_table, pth->tt_size, pth->thermodynamics_table, pth->d2thermodynamics_dz2_table, @@ -241,967 +286,363 @@ int thermodynamics_at_z( } /** - * Initialize the thermo structure, and in particular the + * Initialize the thermodynamics structure, and in particular the * thermodynamics interpolation table. * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input/Output: pointer to initialized thermo structure + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure * @return the error status */ + int thermodynamics_init( struct precision * ppr, struct background * pba, - struct thermo * pth + struct thermodynamics * pth ) { /** Summary: */ /** - define local variables */ - /* index running over time*/ - int index_tau; - /* temporary variables related to visibility function */ - double g; - /* vector of background values for calling background_at_tau() */ + /* vector of background values for calling background_at_tau */ double * pvecback; - /* index for calling background_at_tau() */ - int last_index_back; - /* temporary table of values of tau associated with z values in pth->z_table */ - double * tau_table; - /* same ordered in growing time rather than growing redshift */ - double * tau_table_growing; - /* conformal time of reionization */ - double tau_reio; - /* R = (3./4.)*(rho_b/rho_g) */ - double R; - /* structures for storing temporarily information on recombination - and reionization */ - struct recombination reco; - struct reionization reio; - struct recombination * preco; - struct reionization * preio; - - double tau; - double g_max; - int index_tau_max; - /** - initialize pointers, allocate background vector */ + /* structures for storing temporarily information on recombination and reionization */ + struct thermo_workspace * ptw; - preco=&reco; - preio=&reio; - class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); + pth->has_idm_g = pba->has_idm && (pth->u_idm_g > 0.); + pth->has_idm_dr = pba->has_idm && (pba->has_idr && pth->a_idm_dr > 0.); + pth->has_idm_b = pba->has_idm && (pth->cross_idm_b > 0.); + + /** - update the user about which recombination code is being run */ + if (pth->thermodynamics_verbose > 0) { + switch (pth->recombination) { + + case recfast: + printf("Computing thermodynamics using RecFastCLASS (based on v1.5)\n"); + break; + + case hyrec: + printf("Computing thermodynamics using HyRec 2020\n"); + break; + + default: + class_stop(pth->error_message,"pth->recombination=%d different from all known cases",pth->recombination); + break; + } + } - if (pth->thermodynamics_verbose > 0) - printf("Computing thermodynamics"); + /** - set flag for varying constants */ + pth->has_varconst = pba->has_varconst; - /** - compute and check primordial Helium fraction */ + /** - compute and check primordial Helium mass fraction rho_He/(rho_H+rho_He) */ - /* Y_He */ - if (pth->YHe == _BBN_) { + if (pth->YHe == _YHE_BBN_) { class_call(thermodynamics_helium_from_bbn(ppr,pba,pth), pth->error_message, pth->error_message); - if (pth->thermodynamics_verbose > 0) - printf(" with Y_He=%.4f\n",pth->YHe); } - else { - if (pth->thermodynamics_verbose > 0) - printf("\n"); + if (pth->thermodynamics_verbose > 0) { + printf(" -> with primordial helium mass fraction Y_He = %.4f\n",pth->YHe); } - class_test((pth->YHe < _YHE_SMALL_)||(pth->YHe > _YHE_BIG_), - pth->error_message, - "Y_He=%g out of bounds (%gYHe,_YHE_SMALL_,_YHE_BIG_); - - /** - check energy injection parameters */ - - class_test((pth->annihilation<0), - pth->error_message, - "annihilation parameter cannot be negative"); - - class_test((pth->annihilation>1.e-4), - pth->error_message, - "annihilation parameter suspiciously large (%e, while typical bounds are in the range of 1e-7 to 1e-6)", - pth->annihilation); - - class_test((pth->annihilation_variation>0), - pth->error_message, - "annihilation variation parameter must be negative (decreasing annihilation rate)"); - - class_test((pth->annihilation_z<0), - pth->error_message, - "characteristic annihilation redshift cannot be negative"); + /** - infer primordial helium-to-hydrogen nucleon ratio n_He/n_H + * It is calculated via n_He/n_H = rho_He/(m_He/m_H * rho_H) = YHe * rho_b / (m_He/m_H * (1-YHe) rho_b) = YHe / (m_He/m_H * (1-YHe))*/ + pth->fHe = pth->YHe/(_not4_ *(1.-pth->YHe)); - class_test((pth->annihilation_zmin<0), - pth->error_message, - "characteristic annihilation redshift cannot be negative"); + /** - infer number of hydrogen nuclei today in m**-3 */ + pth->n_e = 3.*pow(pba->H0 * _c_ / _Mpc_over_m_,2)*pba->Omega0_b/(8.*_PI_*_G_*_m_H_)*(1.-pth->YHe); - class_test((pth->annihilation_zmax<0), + /** - test whether all parameters are in the correct regime */ + class_call(thermodynamics_checks(ppr,pba,pth), pth->error_message, - "characteristic annihilation redshift cannot be negative"); + pth->error_message); - class_test((pth->annihilation>0)&&(pba->has_cdm==_FALSE_), - pth->error_message, - "CDM annihilation effects require the presence of CDM!"); + /** - allocate and assign all temporary structures and indices */ + class_alloc(ptw, sizeof(struct thermo_workspace), pth->error_message); - class_test((pth->annihilation_f_halo>0) && (pth->recombination==recfast), + /* in the case of idm, we need to adapt the start of integration time, + to be sure we capture the time at which the two species are still coupled. + This is after thermo_workspace was allocated to set the has_ap_idmtca flag*/ + class_call(thermodynamics_obtain_z_ini(ppr,pba,pth, ptw), pth->error_message, - "Switching on DM annihilation in halos requires using HyRec instead of RECFAST. Otherwise some values go beyond their range of validity in the RECFAST fits, and the thermodynamics module fails. Two solutions: add 'recombination = HyRec' to your input, or set 'annihilation_f_halo = 0.' (default)."); + pth->error_message); - class_test((pth->annihilation_f_halo<0), + class_call(thermodynamics_workspace_init(ppr,pba,pth,ptw), pth->error_message, - "Parameter for DM annihilation in halos cannot be negative"); + pth->error_message); - class_test((pth->annihilation_z_halo<0), + class_call(thermodynamics_indices(pba,pth,ptw), pth->error_message, - "Parameter for DM annihilation in halos cannot be negative"); + pth->error_message); - if (pth->thermodynamics_verbose > 0) - if ((pth->annihilation >0) && (pth->reio_parametrization == reio_none) && (ppr->recfast_Heswitch >= 3) && (pth->recombination==recfast)) - printf("Warning: if you have DM annihilation and you use recfast with option recfast_Heswitch >= 3, then the expression for CfHe_t and dy[1] becomes undefined at late times, producing nan's. This is however masked by reionization if you are not in reio_none mode."); + class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); - class_test((pth->decay<0), + class_call(thermodynamics_lists(ppr,pba,pth,ptw), pth->error_message, - "decay parameter cannot be negative"); + pth->error_message); - class_test((pth->decay>0)&&(pba->has_cdm==_FALSE_), - pth->error_message, - "CDM decay effects require the presence of CDM!"); + /** - initialize injection struct (not temporary) */ + if (pth->has_exotic_injection == _TRUE_) { + class_call(injection_init(ppr, + pba, + pth), + (pth->in).error_message, + pth->error_message); + } - /* tests in order to prevent segmentation fault in the following */ - class_test(_not4_ == 0., - pth->error_message, - "stop to avoid division by zero"); - class_test(pth->YHe == 1., + /** - assign reionisation parameters */ + class_call(thermodynamics_set_parameters_reionization(ppr, + pba, + pth, + ptw->ptrp), pth->error_message, - "stop to avoid division by zero"); - - /** - assign values to all indices in the structures with thermodynamics_indices()*/ + pth->error_message); - class_call(thermodynamics_indices(pth,preco,preio), + /** - solve recombination and reionization and store values of \f$ z, x_e, d \kappa / d \tau, T_b, c_b^2 \f$ */ + class_call(thermodynamics_solve(ppr,pba,pth,ptw,pvecback), pth->error_message, pth->error_message); - /** - solve recombination and store values of \f$ z, x_e, d \kappa / d \tau, T_b, c_b^2 \f$ with thermodynamics_recombination() */ + /** - the differential equation system is now completely solved */ - class_call(thermodynamics_recombination(ppr,pba,pth,preco,pvecback), + /** - fill missing columns (quantities not computed during the differential evolution but related) */ + class_call(thermodynamics_calculate_remaining_quantities(ppr,pba,pth,pvecback), pth->error_message, pth->error_message); - /** - if there is reionization, solve reionization and store values of \f$ z, x_e, d \kappa / d \tau, T_b, c_b^2 \f$ with thermodynamics_reionization()*/ - - if (pth->reio_parametrization != reio_none) { - class_call(thermodynamics_reionization(ppr,pba,pth,preco,preio,pvecback), + /** - write information on thermal history in standard output */ + if (pth->thermodynamics_verbose > 0) { + class_call(thermodynamics_output_summary(pba,pth), pth->error_message, pth->error_message); } - else { - preio->rt_size=0; - preio->index_reco_when_reio_start=-1; - } - /** - merge tables in recombination and reionization structures into - a single table in thermo structure */ - - class_call(thermodynamics_merge_reco_and_reio(ppr,pth,preco,preio), + /** - free workspace and local variables */ + class_call(thermodynamics_workspace_free(pth,ptw), pth->error_message, pth->error_message); - /** - compute table of corresponding conformal times */ + free(pvecback); + + return _SUCCESS_; +} - class_alloc(tau_table,pth->tt_size*sizeof(double),pth->error_message); - for (index_tau=0; index_tau < pth->tt_size; index_tau++) { - class_call(background_tau_of_z(pba, - pth->z_table[index_tau], - tau_table+index_tau), - pba->error_message, +/** + * Free all memory space allocated by thermodynamics_init. + * + * @param pth Input/Output: pointer to thermodynamics structure (to be freed) + * @return the error status + */ +int thermodynamics_free( + struct thermodynamics * pth + ) { + + if (pth->has_exotic_injection == _TRUE_) { + /* Free all injection-related functions */ + class_call(injection_free(pth), + (pth->in).error_message, pth->error_message); } - /** - store initial value of conformal time in the structure */ + /* Free thermodynamics-related functions */ + free(pth->z_table); + free(pth->tau_table); + free(pth->thermodynamics_table); + free(pth->d2thermodynamics_dz2_table); - pth->tau_ini = tau_table[pth->tt_size-1]; + class_call(thermodynamics_free_input(pth), + pth->error_message, + pth->error_message); - /** - fill missing columns (quantities not computed previously but related) */ + return _SUCCESS_; +} +/** + * Free all memory space allocated by input.c for the thermodynamics module. + * + * @param pth Input/Output: pointer to thermodynamics structure (to be freed) + * @return the error status + */ +int thermodynamics_free_input( + struct thermodynamics * pth + ) { - /** - --> baryon drag interaction rate time minus one, -[1/R * kappa'], with R = 3 rho_b / 4 rho_gamma, stored temporarily in column ddkappa */ + switch(pth->reio_parametrization){ + + case reio_none: + case reio_camb: + case reio_half_tanh: + default: + /* nothing to be read*/ + break; + + case reio_bins_tanh: + /* Read */ + free(pth->binned_reio_z); + free(pth->binned_reio_xe); + break; + + case reio_many_tanh: + /* Read */ + free(pth->many_tanh_z); + free(pth->many_tanh_xe); + break; + + /** 8.d) reionization parameters if reio_parametrization=reio_many_tanh */ + case reio_inter: + /* Read */ + free(pth->reio_inter_z); + free(pth->reio_inter_xe); + break; - last_index_back = pba->bg_size-1; + } - for (index_tau=0; index_tau < pth->tt_size; index_tau++) { + return _SUCCESS_; +} +/** + * Infer the primordial helium mass fraction from standard BBN + * calculations, as a function of the baryon density and expansion + * rate during BBN. + * + * This module is simpler then the one used in arXiv:0712.2826 because + * it neglects the impact of a possible significant chemical + * potentials for electron neutrinos. The full code with xi_nu_e could + * be introduced here later. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @return the error status + */ +int thermodynamics_helium_from_bbn( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth + ) { - class_call(background_at_tau(pba, - tau_table[index_tau], - pba->normal_info, - pba->inter_closeby, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + /** Summary: */ - R = 3./4.*pvecback[pba->index_bg_rho_b]/pvecback[pba->index_bg_rho_g]; + /** Define local variables */ + FILE * fA; + char line[_LINE_LENGTH_MAX_]; + char * left; - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] = - -1./R*pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa]; + int num_omegab=0; + int num_deltaN=0; - } + double * omegab=NULL; + double * deltaN=NULL; + double * YHe=NULL; + double * ddYHe=NULL; + double * YHe_at_deltaN=NULL; + double * ddYHe_at_deltaN=NULL; - /** - --> second derivative of this rate, -[1/R * kappa']'', stored temporarily in column dddkappa */ - class_call(array_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_ddkappa, - pth->index_th_dddkappa, - _SPLINE_EST_DERIV_, - pth->error_message), - pth->error_message, - pth->error_message); + int array_line=0; + double DeltaNeff; + double omega_b; + int last_index; + double Neff_bbn, z_bbn, * pvecback; - /** - --> compute tau_d = [int_{tau_today}^{tau} dtau -dkappa_d/dtau] */ - class_call(array_integrate_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_ddkappa, - pth->index_th_dddkappa, - pth->index_th_tau_d, - pth->error_message), - pth->error_message, - pth->error_message); + /** - Infer effective number of neutrinos at the time of BBN */ + class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); - /* the temporary quantities stored in columns ddkappa and dddkappa - will not be used anymore, they will be overwritten */ + /** - We randomly choose 0.1 MeV to be the temperature of BBN */ + z_bbn = 0.1*1e6/(_eV_over_Kelvin_*pba->T_cmb)-1.0; - /** - --> compute r_d = 2pi/k_d = 2pi * [int_{tau_ini}^{tau} dtau (1/kappa') (R^2+4/5(1+R))/(1+R^2)/6 ]^1/2 (see e.g. Wayne Hu's thesis eq. (5.59) */ + class_call(background_at_z(pba, + z_bbn, + long_info, + inter_normal, + &last_index, + pvecback), + pba->error_message, + pth->error_message); - if (pth->compute_damping_scale == _TRUE_) { + Neff_bbn = (pvecback[pba->index_bg_Omega_r] + *pvecback[pba->index_bg_rho_crit] + -pvecback[pba->index_bg_rho_g]) + /(7./8.*pow(4./11.,4./3.)*pvecback[pba->index_bg_rho_g]); - class_alloc(tau_table_growing,pth->tt_size*sizeof(double),pth->error_message); - /* compute integrand 1/kappa' (R^2+4/5(1+R))/(1+R^2)/6 and store temporarily in column "ddkappa" */ - for (index_tau=0; index_tau < pth->tt_size; index_tau++) { + // printf("Neff early = %g, Neff at bbn: %g\n",pba->Neff,Neff_bbn); - tau_table_growing[index_tau]=tau_table[pth->tt_size-1-index_tau]; + /** - compute Delta N_eff as defined in bbn file, i.e. \f$ \Delta N_{eff}=0\f$ means \f$ N_{eff}=3.046\f$. + * Note that even if 3.044 is a better default value, we must keep 3.046 here as long as the BBN file we are + * using has been computed assuming 3.046. + */ + DeltaNeff = Neff_bbn - 3.046; - class_call(background_at_tau(pba, - tau_table_growing[index_tau], - pba->normal_info, - pba->inter_closeby, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + /* the following file is assumed to contain (apart from comments and blank lines): + - the two numbers (num_omegab, num_deltaN) = number of values of BBN free parameters + - three columns (omegab, deltaN, YHe) where omegab = Omega0_b h^2 and deltaN = Neff-3.046 by definition + - omegab and deltaN are assumed to be arranged as: + omegab1 deltaN1 YHe + omegab2 deltaN1 YHe + ..... + omegab1 delatN2 YHe + omegab2 deltaN2 YHe + ..... + */ - R = 3./4.*pvecback[pba->index_bg_rho_b]/pvecback[pba->index_bg_rho_g]; + class_open(fA,ppr->sBBN_file, "r",pth->error_message); - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] = - 1./pth->thermodynamics_table[(pth->tt_size-1-index_tau)*pth->th_size+pth->index_th_dkappa] - *(R*R+4./5.*(1.+R))/(1.+R*R)/6.; + /* go through each line */ + while (fgets(line,_LINE_LENGTH_MAX_-1,fA) != NULL) { + /* eliminate blank spaces at beginning of line */ + left=line; + while (left[0]==' ') { + left++; } - /* compute second derivative of integrand 1/kappa' and store temporarily in column "dddkappa" */ - class_call(array_spline_table_line_to_line(tau_table_growing, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_ddkappa, - pth->index_th_dddkappa, - _SPLINE_EST_DERIV_, - pth->error_message), - pth->error_message, - pth->error_message); - - /* compute integrated quantity r_d^2 and store temporarily in column "g" */ - class_call(array_integrate_spline_table_line_to_line(tau_table_growing, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_ddkappa, - pth->index_th_dddkappa, - pth->index_th_g, - pth->error_message), - pth->error_message, - pth->error_message); - - free(tau_table_growing); + /* check that the line is neither blank neither a comment. In ASCII, left[0]>39 means that first non-blank character might + be the beginning of some data (it is not a newline, a #, a %, etc.) */ + if (left[0] > 39) { - /* an analytic calculation shows that in the early - radiation-dominated and ionized universe, when kappa' is - proportional to (1+z)^2 and tau is proportional to the scale - factor, the integral is equal to eta/(3 kappa')*2./15. So - [tau_ini/3/kappa'_ini*2./15.] should be added to the integral in - order to account for the integration between 0 and tau_ini */ + /* if the line contains data, we must interpret it. If (num_omegab, num_deltaN)=(0,0), the current line must contain + their values. Otherwise, it must contain (omegab, delatN, YHe). */ + if ((num_omegab==0) && (num_deltaN==0)) { - /* compute r_d */ - for (index_tau=0; index_tau < pth->tt_size; index_tau++) { + /* read (num_omegab, num_deltaN), infer size of arrays and allocate them */ + class_test(sscanf(line,"%d %d",&num_omegab,&num_deltaN) != 2, + pth->error_message, + "could not read value of parameters (num_omegab,num_deltaN) in file %s\n",ppr->sBBN_file); - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_r_d] = - 2.*_PI_*sqrt(tau_table[pth->tt_size-1]/3. - /pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_dkappa]*2./15. - +pth->thermodynamics_table[(pth->tt_size-1-index_tau)*pth->th_size+pth->index_th_g]); + class_alloc(omegab,num_omegab*sizeof(double),pth->error_message); + class_alloc(deltaN,num_deltaN*sizeof(double),pth->error_message); + class_alloc(YHe,num_omegab*num_deltaN*sizeof(double),pth->error_message); + class_alloc(ddYHe,num_omegab*num_deltaN*sizeof(double),pth->error_message); + class_alloc(YHe_at_deltaN,num_omegab*sizeof(double),pth->error_message); + class_alloc(ddYHe_at_deltaN,num_omegab*sizeof(double),pth->error_message); + array_line=0; - } + } + else{ + /* read (omegab, deltaN, YHe) */ + class_test(sscanf(line,"%lg %lg %lg",&(omegab[array_line%num_omegab]), + &(deltaN[array_line/num_omegab]), + &(YHe[array_line]) + ) != 3, + pth->error_message, + "could not read value of parameters (omegab,deltaN,YHe) in file %s\n",ppr->sBBN_file); + array_line ++; + } + } } - /** - --> second derivative with respect to tau of dkappa (in view of spline interpolation) */ - class_call(array_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_dkappa, - pth->index_th_dddkappa, - _SPLINE_EST_DERIV_, - pth->error_message), - pth->error_message, - pth->error_message); - - /** - --> first derivative with respect to tau of dkappa (using spline interpolation) */ - class_call(array_derive_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_dkappa, - pth->index_th_dddkappa, - pth->index_th_ddkappa, - pth->error_message), - pth->error_message, - pth->error_message); - - /** - --> compute -kappa = [int_{tau_today}^{tau} dtau dkappa/dtau], store temporarily in column "g" */ - class_call(array_integrate_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_dkappa, - pth->index_th_dddkappa, - pth->index_th_g, - pth->error_message), - pth->error_message, - pth->error_message); - - /** - --> derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested) */ - if (pth->compute_cb2_derivatives == _TRUE_) { - - /** - ---> second derivative with respect to tau of cb2 */ - class_call(array_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_cb2, - pth->index_th_ddcb2, - _SPLINE_EST_DERIV_, - pth->error_message), - pth->error_message, - pth->error_message); - - - /** - ---> first derivative with respect to tau of cb2 (using spline interpolation) */ - class_call(array_derive_spline_table_line_to_line(tau_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->index_th_cb2, - pth->index_th_ddcb2, - pth->index_th_dcb2, - pth->error_message), - pth->error_message, - pth->error_message); - } - - free(tau_table); - - /** - --> compute visibility: \f$ g= (d \kappa/d \tau) e^{- \kappa} \f$ */ - - /* loop on z (decreasing z, increasing time) */ - for (index_tau=pth->tt_size-1; index_tau>=0; index_tau--) { - - /** - ---> compute g */ - g = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] * - exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]); - - /** - ---> compute exp(-kappa) */ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_exp_m_kappa] = - exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]); - - /** - ---> compute g' (the plus sign of the second term is correct, see def of -kappa in thermodynamics module!) */ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dg] = - (pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] + - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] * - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa]) * - exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]); - - /** - ---> compute g'' */ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddg] = - (pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dddkappa] + - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] * - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] * 3. + - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] * - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] * - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa]) * - exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]); - - /** - ---> store g */ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g] = g; - - /** - ---> compute variation rate */ - class_test(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] == 0., - pth->error_message, - "variation rate diverges"); - - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_rate] = - sqrt(pow(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa],2) - +pow(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa]/ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa],2) - +fabs(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dddkappa]/ - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa])); - - } - - /** - smooth the rate (details of smoothing unimportant: only the - order of magnitude of the rate matters) */ - class_call(array_smooth(pth->thermodynamics_table, - pth->th_size, - pth->tt_size, - pth->index_th_rate, - ppr->thermo_rate_smoothing_radius, - pth->error_message), - pth->error_message, - pth->error_message); - - /** - fill tables of second derivatives with respect to z (in view of spline interpolation) */ - - class_call(array_spline_table_lines(pth->z_table, - pth->tt_size, - pth->thermodynamics_table, - pth->th_size, - pth->d2thermodynamics_dz2_table, - _SPLINE_EST_DERIV_, - pth->error_message), - pth->error_message, - pth->error_message); - - /** - find maximum of g */ - - index_tau=pth->tt_size-1; - while (pth->z_table[index_tau]>_Z_REC_MAX_) { - index_tau--; - } - - class_test(pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g] > - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g], - pth->error_message, - "found a recombination redshift greater or equal to the maximum value imposed in thermodynamics.h, z_rec_max=%g",_Z_REC_MAX_); - - while (pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g] < - pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]) { - index_tau--; - } - - g_max = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]; - index_tau_max = index_tau; - - /* approximation for maximum of g, using cubic interpolation, assuming equally spaced z's */ - pth->z_rec=pth->z_table[index_tau+1]+0.5*(pth->z_table[index_tau+1]-pth->z_table[index_tau])*(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g]-pth->thermodynamics_table[(index_tau+2)*pth->th_size+pth->index_th_g])/(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g]-2.*pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g]+pth->thermodynamics_table[(index_tau+2)*pth->th_size+pth->index_th_g]); - - class_test(pth->z_rec+ppr->smallest_allowed_variation >= _Z_REC_MAX_, - pth->error_message, - "found a recombination redshift greater or equal to the maximum value imposed in thermodynamics.h, z_rec_max=%g",_Z_REC_MAX_); - - class_test(pth->z_rec-ppr->smallest_allowed_variation <= _Z_REC_MIN_, - pth->error_message, - "found a recombination redshift smaller or equal to the maximum value imposed in thermodynamics.h, z_rec_min=%g",_Z_REC_MIN_); - - /** - find conformal recombination time using background_tau_of_z() **/ - - class_call(background_tau_of_z(pba,pth->z_rec,&(pth->tau_rec)), - pba->error_message, - pth->error_message); - - class_call(background_at_tau(pba,pth->tau_rec, pba->long_info, pba->inter_normal, &last_index_back, pvecback), - pba->error_message, - pth->error_message); - - pth->rs_rec=pvecback[pba->index_bg_rs]; - pth->ds_rec=pth->rs_rec*pba->a_today/(1.+pth->z_rec); - pth->da_rec=pvecback[pba->index_bg_ang_distance]; - pth->ra_rec=pth->da_rec*(1.+pth->z_rec)/pba->a_today; - pth->angular_rescaling=pth->ra_rec/(pba->conformal_age-pth->tau_rec); - - /** - find damping scale at recombination (using linear interpolation) */ - - if (pth->compute_damping_scale == _TRUE_) { - - pth->rd_rec = (pth->z_table[index_tau+1]-pth->z_rec)/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_r_d] - +(pth->z_rec-pth->z_table[index_tau])/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_r_d]; - - } - - /** - find time (always after recombination) at which tau_c/tau - falls below some threshold, defining tau_free_streaming */ - - class_call(background_tau_of_z(pba,pth->z_table[index_tau],&tau), - pba->error_message, - pth->error_message); - - while (1./pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_dkappa]/tau - < ppr->radiation_streaming_trigger_tau_c_over_tau) { - - index_tau--; - - class_call(background_tau_of_z(pba,pth->z_table[index_tau],&tau), - pba->error_message, - pth->error_message); - - } - - pth->tau_free_streaming = tau; - - /** - find baryon drag time (when tau_d crosses one, using linear - interpolation) and sound horizon at that time */ - - index_tau=0; - while ((pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_tau_d] < 1.) && (index_tau < pth->tt_size)) - index_tau++; - - pth->z_d = pth->z_table[index_tau-1]+ - (1.-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_tau_d]) - /(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_tau_d]-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_tau_d]) - *(pth->z_table[index_tau]-pth->z_table[index_tau-1]); - - class_call(background_tau_of_z(pba,pth->z_d,&(pth->tau_d)), - pba->error_message, - pth->error_message); - - class_call(background_at_tau(pba,pth->tau_d, pba->long_info, pba->inter_normal, &last_index_back, pvecback), - pba->error_message, - pth->error_message); - - pth->rs_d=pvecback[pba->index_bg_rs]; - pth->ds_d=pth->rs_d*pba->a_today/(1.+pth->z_d); - - /** - find time above which visibility falls below a given fraction of its maximum */ - - index_tau=index_tau_max; - while ((pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g] > - g_max * ppr->neglect_CMB_sources_below_visibility) - && (index_tau > 0)) - index_tau--; - - class_call(background_tau_of_z(pba,pth->z_table[index_tau],&(pth->tau_cut)), - pba->error_message, - pth->error_message); - - /** - if verbose flag set to next-to-minimum value, print the main results */ - - if (pth->thermodynamics_verbose > 0) { - printf(" -> recombination at z = %f\n",pth->z_rec); - printf(" corresponding to conformal time = %f Mpc\n",pth->tau_rec); - printf(" with comoving sound horizon = %f Mpc\n",pth->rs_rec); - printf(" angular diameter distance = %f Mpc\n",pth->da_rec); - printf(" and sound horizon angle 100*theta_s = %f\n",100.*pth->rs_rec/pth->ra_rec); - if (pth->compute_damping_scale == _TRUE_) { - printf(" and with comoving photon damping scale = %f Mpc\n",pth->rd_rec); - printf(" or comoving damping wavenumber k_d = %f 1/Mpc\n",2.*_PI_/pth->rd_rec); - } - printf(" -> baryon drag stops at z = %f\n",pth->z_d); - printf(" corresponding to conformal time = %f Mpc\n",pth->tau_d); - printf(" with comoving sound horizon rs = %f Mpc\n",pth->rs_d); - if ((pth->reio_parametrization == reio_camb) || (pth->reio_parametrization == reio_half_tanh)) { - if (pth->reio_z_or_tau==reio_tau) - printf(" -> reionization at z = %f\n",pth->z_reio); - if (pth->reio_z_or_tau==reio_z) - printf(" -> reionization with optical depth = %f\n",pth->tau_reio); - class_call(background_tau_of_z(pba,pth->z_reio,&tau_reio), - pba->error_message, - pth->error_message); - printf(" corresponding to conformal time = %f Mpc\n",tau_reio); - } - if (pth->reio_parametrization == reio_bins_tanh) { - printf(" -> binned reionization gives optical depth = %f\n",pth->tau_reio); - } - if (pth->reio_parametrization == reio_many_tanh) { - printf(" -> many-step reionization gives optical depth = %f\n",pth->tau_reio); - } - if (pth->reio_parametrization == reio_inter) { - printf(" -> interpolated reionization history gives optical depth = %f\n",pth->tau_reio); - } - if (pth->thermodynamics_verbose > 1) { - printf(" -> free-streaming approximation can be turned on as soon as tau=%g Mpc\n", - pth->tau_free_streaming); - } - } - - free(pvecback); - - return _SUCCESS_; -} - -/** - * Free all memory space allocated by thermodynamics_init(). - * - * - * @param pth Input/Output: pointer to thermo structure (to be freed) - * @return the error status - */ - -int thermodynamics_free( - struct thermo * pth - ) { - - free(pth->z_table); - free(pth->thermodynamics_table); - free(pth->d2thermodynamics_dz2_table); - - return _SUCCESS_; -} - -/** - * Assign value to each relevant index in vectors of thermodynamical quantities, - * as well as in vector containing reionization parameters. - * - * - * @param pth Input/Output: pointer to thermo structure - * @param preco Input/Output: pointer to recombination structure - * @param preio Input/Output: pointer to reionization structure - * @return the error status - */ - -int thermodynamics_indices( - struct thermo * pth, - struct recombination * preco, - struct reionization * preio - ) { - - /** Summary: */ - - /** - define local variables */ - - /* a running index for the vector of thermodynamics quantities */ - int index; - - /** - initialization of all indices and flags in thermo structure */ - index = 0; - - pth->index_th_xe = index; - index++; - pth->index_th_dkappa = index; - index++; - pth->index_th_tau_d = index; - index++; - pth->index_th_ddkappa = index; - index++; - pth->index_th_dddkappa = index; - index++; - pth->index_th_exp_m_kappa = index; - index++; - pth->index_th_g = index; - index++; - pth->index_th_dg = index; - index++; - pth->index_th_ddg = index; - index++; - pth->index_th_Tb = index; - index++; - pth->index_th_cb2 = index; - index++; - - /* derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested) */ - if (pth->compute_cb2_derivatives == _TRUE_) { - pth->index_th_dcb2 = index; - index++; - pth->index_th_ddcb2 = index; - index++; - } - - pth->index_th_rate = index; - index++; - - if (pth->compute_damping_scale == _TRUE_) { - pth->index_th_r_d = index; - index++; - } - - /* end of indices */ - pth->th_size = index; - - /** - initialization of all indices and flags in recombination structure */ - index = 0; - - preco->index_re_z = index; - index++; - preco->index_re_xe = index; - index++; - preco->index_re_dkappadtau = index; - index++; - preco->index_re_Tb = index; - index++; - preco->index_re_cb2 = index; - index++; - - /* end of indices */ - preco->re_size = index; - - /** - initialization of all indices and flags in reionization structure */ - index = 0; - - preio->index_re_z = index; - index++; - preio->index_re_xe = index; - index++; - preio->index_re_Tb = index; - index++; - preio->index_re_cb2 = index; - index++; - preio->index_re_dkappadtau = index; - index++; - preio->index_re_dkappadz = index; - index++; - preio->index_re_d3kappadz3 = index; - index++; - - /* end of indices */ - preio->re_size = index; - - /** - same with parameters of the function \f$ X_e(z)\f$ */ - - index=0; - - preio->index_reio_start = index; - index++; - - /* case where x_e(z) taken like in CAMB (other cases can be added) */ - if ((pth->reio_parametrization == reio_camb) || (pth->reio_parametrization == reio_half_tanh)) { - - preio->index_reio_redshift = index; - index++; - preio->index_reio_exponent = index; - index++; - preio->index_reio_width = index; - index++; - preio->index_reio_xe_before = index; - index++; - preio->index_reio_xe_after = index; - index++; - preio->index_helium_fullreio_fraction = index; - index++; - preio->index_helium_fullreio_redshift = index; - index++; - preio->index_helium_fullreio_width = index; - index++; - - } - - /* case where x_e(z) is binned */ - if (pth->reio_parametrization == reio_bins_tanh) { - - /* the code will not only copy here the "bin centers" passed in - input. It will add an initial and final value for (z,xe). So - this array has a dimension bigger than the bin center array */ - - preio->reio_num_z=pth->binned_reio_num+2; /* add two values: beginning and end of reio */ - - preio->index_reio_first_z = index; - index+= preio->reio_num_z; - preio->index_reio_first_xe = index; - index+= preio->reio_num_z; - preio->index_reio_step_sharpness = index; - index++; - - } - - /* case where x_e(z) has many tanh jumps */ - if (pth->reio_parametrization == reio_many_tanh) { - - /* the code will not only copy here the "jump centers" passed in - input. It will add an initial and final value for (z,xe). So - this array has a dimension bigger than the jump center array */ - - preio->reio_num_z=pth->many_tanh_num+2; /* add two values: beginning and end of reio */ - - preio->index_reio_first_z = index; - index+= preio->reio_num_z; - preio->index_reio_first_xe = index; - index+= preio->reio_num_z; - preio->index_reio_step_sharpness = index; - index++; - - } - - /* case where x_e(z) must be interpolated */ - if (pth->reio_parametrization == reio_inter) { - - preio->reio_num_z=pth->reio_inter_num; - - preio->index_reio_first_z = index; - index+= preio->reio_num_z; - preio->index_reio_first_xe = index; - index+= preio->reio_num_z; - - } - - preio->reio_num_params = index; - - /* flags for calling the interpolation routine */ - - pth->inter_normal=0; - pth->inter_closeby=1; - - return _SUCCESS_; -} - -/** - * Infer the primordial helium fraction from standard BBN, as a - * function of the baryon density and expansion rate during BBN. - * - * This module is simpler then the one used in arXiv:0712.2826 because - * it neglects the impact of a possible significant chemical - * potentials for electron neutrinos. The full code with xi_nu_e could - * be introduced here later. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input/Output: pointer to initialized thermo structure - * @return the error status - */ -int thermodynamics_helium_from_bbn( - struct precision * ppr, - struct background * pba, - struct thermo * pth - ) { - - FILE * fA; - char line[_LINE_LENGTH_MAX_]; - char * left; - - int num_omegab=0; - int num_deltaN=0; - - double * omegab=NULL; - double * deltaN=NULL; - double * YHe=NULL; - double * ddYHe=NULL; - double * YHe_at_deltaN=NULL; - double * ddYHe_at_deltaN=NULL; - - int array_line=0; - double DeltaNeff; - double omega_b; - int last_index; - double Neff_bbn, z_bbn, tau_bbn, *pvecback; - - /**Summary: */ - /** - Infer effective number of neutrinos at the time of BBN */ - class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); - - /** - 8.6173e-11 converts from Kelvin to MeV. We randomly choose 0.1 MeV to be the temperature of BBN */ - z_bbn = 0.1/(8.6173e-11*pba->T_cmb)-1.0; - - class_call(background_tau_of_z(pba, - z_bbn, - &tau_bbn), - pba->error_message, - pth->error_message); - - class_call(background_at_tau(pba, - tau_bbn, - pba->long_info, - pba->inter_normal, - &last_index, - pvecback), - pba->error_message, - pth->error_message); - - Neff_bbn = (pvecback[pba->index_bg_Omega_r] - *pvecback[pba->index_bg_rho_crit] - -pvecback[pba->index_bg_rho_g]) - /(7./8.*pow(4./11.,4./3.)*pvecback[pba->index_bg_rho_g]); - - free(pvecback); - - // printf("Neff early = %g, Neff at bbn: %g\n",pba->Neff,Neff_bbn); - - /** - compute Delta N_eff as defined in bbn file, i.e. \f$ \Delta N_{eff}=0\f$ means \f$ N_{eff}=3.046\f$ */ - DeltaNeff = Neff_bbn - 3.046; - - /* the following file is assumed to contain (apart from comments and blank lines): - - the two numbers (num_omegab, num_deltaN) = number of values of BBN free parameters - - three columns (omegab, deltaN, YHe) where omegab = Omega0_b h^2 and deltaN = Neff-3.046 by definition - - omegab and deltaN are assumed to be arranged as: - omegab1 deltaN1 YHe - omegab2 deltaN1 YHe - ..... - omegab1 delatN2 YHe - omegab2 deltaN2 YHe - ..... - */ - - class_open(fA,ppr->sBBN_file, "r",pth->error_message); - - /* go through each line */ - while (fgets(line,_LINE_LENGTH_MAX_-1,fA) != NULL) { - - /* eliminate blank spaces at beginning of line */ - left=line; - while (left[0]==' ') { - left++; - } - - /* check that the line is neither blank neither a comment. In - ASCII, left[0]>39 means that first non-blank character might - be the beginning of some data (it is not a newline, a #, a %, - etc.) */ - if (left[0] > 39) { - - /* if the line contains data, we must interpret it. If - (num_omegab, num_deltaN)=(0,0), the current line must contain - their values. Otherwise, it must contain (omegab, delatN, - YHe). */ - if ((num_omegab==0) && (num_deltaN==0)) { - - /* read (num_omegab, num_deltaN), infer size of arrays and allocate them */ - class_test(sscanf(line,"%d %d",&num_omegab,&num_deltaN) != 2, - pth->error_message, - "could not read value of parameters (num_omegab,num_deltaN) in file %s\n",ppr->sBBN_file); - - class_alloc(omegab,num_omegab*sizeof(double),pth->error_message); - class_alloc(deltaN,num_deltaN*sizeof(double),pth->error_message); - class_alloc(YHe,num_omegab*num_deltaN*sizeof(double),pth->error_message); - class_alloc(ddYHe,num_omegab*num_deltaN*sizeof(double),pth->error_message); - class_alloc(YHe_at_deltaN,num_omegab*sizeof(double),pth->error_message); - class_alloc(ddYHe_at_deltaN,num_omegab*sizeof(double),pth->error_message); - array_line=0; - - } - else { - - /* read (omegab, deltaN, YHe) */ - class_test(sscanf(line,"%lg %lg %lg", - &(omegab[array_line%num_omegab]), - &(deltaN[array_line/num_omegab]), - &(YHe[array_line]) - ) != 3, - pth->error_message, - "could not read value of parameters (omegab,deltaN,YHe) in file %s\n",ppr->sBBN_file); - array_line ++; - } - } - } - - fclose(fA); - - /** - spline in one dimension (along deltaN) */ - class_call(array_spline_table_lines(deltaN, - num_deltaN, - YHe, - num_omegab, - ddYHe, - _SPLINE_NATURAL_, - pth->error_message), + fclose(fA); + + /** - spline in one dimension (along deltaN) */ + class_call(array_spline_table_lines(deltaN, + num_deltaN, + YHe, + num_omegab, + ddYHe, + _SPLINE_NATURAL_, + pth->error_message), pth->error_message, pth->error_message); @@ -1266,2425 +707,3659 @@ int thermodynamics_helium_from_bbn( pth->error_message, pth->error_message); - /** - deallocate arrays */ - free(omegab); - free(deltaN); - free(YHe); - free(ddYHe); - free(YHe_at_deltaN); - free(ddYHe_at_deltaN); + /** - Take into account impact of varying alpha on helium fraction */ + if (pth->has_varconst == _TRUE_) { + pth->YHe *= pth->bbn_alpha_sensitivity * (pvecback[pba->index_bg_varc_alpha]-1.)+1.; + } + + /** - deallocate arrays */ + free(omegab); + free(deltaN); + free(YHe); + free(ddYHe); + free(YHe_at_deltaN); + free(ddYHe_at_deltaN); + free(pvecback); + + return _SUCCESS_; +} + +/** + * Check the thermodynamics structure parameters for bounds and critical values. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to initialized thermodynamics structure + * @return the error status + */ + +int thermodynamics_checks( + struct precision * ppr, + struct background* pba, + struct thermodynamics * pth + ) { + + /** Summary: */ + + /** - check BBN Y_He fracion */ + class_test((pth->YHe < _YHE_SMALL_)||(pth->YHe > _YHE_BIG_), + pth->error_message, + "Y_He=%g out of bounds (%gYHe,_YHE_SMALL_,_YHE_BIG_); + + /** - tests in order to prevent divisions by zero */ + class_test(pth->YHe == 1., + pth->error_message, + "stop to avoid division by zero"); + + /** - test initial condition for recombination */ + class_test(ppr->thermo_z_initial < ppr->recfast_z_He_3, + pth->error_message, + "increase z_initial in order to start before HeliumIII recombination"); + + return _SUCCESS_; +} + +/** + * Initialize the thermodynamics workspace. + * + * The workspace contains the arrays used for solving differential + * equations (dubbed thermo_diffeq_workspace), and storing all + * approximations, reionization parameters, heating parameters. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param ptw Input/Output: pointer to thermodynamics workspace + * @return the error status + */ + +int thermodynamics_workspace_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw + ) { + + /** Summary: */ + + /** Define local variables */ + int index_ap; + /* for varying fundamental constants */ + double alpha = 1., me = 1.; + + /** - number of z values */ + ptw->Nz_reco_lin = ppr->thermo_Nz_lin; + ptw->Nz_reco_log = ppr->thermo_Nz_log; + ptw->Nz_reco = ptw->Nz_reco_lin + ptw->Nz_reco_log; + ptw->Nz_reio = ppr->reionization_z_start_max / ppr->reionization_sampling; + ptw->Nz_tot = ptw->Nz_reio + ptw->Nz_reco; + + /** - relevant cosmological parameters */ + + /* primordial helium mass fraction */ + ptw->YHe = pth->YHe; + /* primordial helium-to-hydrogen nucleon ratio */ + ptw->fHe = pth->fHe; + /* Hubble parameter today in SI units */ + ptw->SIunit_H0 = pba->H0 * _c_ / _Mpc_over_m_; + /* H number density today in SI units*/ + ptw->SIunit_nH0 = 3.*ptw->SIunit_H0*ptw->SIunit_H0*pba->Omega0_b/(8.*_PI_*_G_*_m_H_)*(1.-ptw->YHe); + /* CMB temperature today in Kelvin */ + ptw->Tcmb = pba->T_cmb; + + /** - relevant constants */ + + /* Prefactor in non-relativistic number density for temperature -- (2*pi*m_e) and unit conversion */ + ptw->const_NR_numberdens = 2.*_PI_*(_m_e_/_h_P_)*(_k_B_/_h_P_); + /* Ionization energy for HI -- temperature equivalent in Kelvin */ + ptw->const_Tion_H = _h_P_*_c_*_L_H_ion_/_k_B_; + /* Ionization energy for HeI -- temperature equivalent in Kelvin */ + ptw->const_Tion_HeI = _h_P_*_c_*_L_He1_ion_/_k_B_; + /* Ionization energy for HeII -- temperature equivalent in Kelvin */ + ptw->const_Tion_HeII = _h_P_*_c_*_L_He2_ion_/_k_B_; + + /* the field reionization_optical_depth is computed and filled later */ + + /** - Allocate and initialize differential equation workspace */ + class_alloc(ptw->ptdw, + sizeof(struct thermo_diffeq_workspace), + pth->error_message); + + // Initialize ionisation fraction. + ptw->ptdw->x_reio = 1.+2.*ptw->fHe; + ptw->ptdw->x_noreio = 1.+2.*ptw->fHe; + + /** - define approximations */ + index_ap=0; + /* Approximations have to appear in chronological order here! */ + class_define_index(ptw->ptdw->index_ap_idmtca,ptw->has_ap_idmtca,index_ap,1); //DM tight coupling (assumed always before any recombination phases) + class_define_index(ptw->ptdw->index_ap_brec,_TRUE_,index_ap,1); // before H- and He-recombination + class_define_index(ptw->ptdw->index_ap_He1,_TRUE_,index_ap,1); // during 1st He-recombination (HeIII) + class_define_index(ptw->ptdw->index_ap_He1f,_TRUE_,index_ap,1); // in between 1st and 2nd He recombination + class_define_index(ptw->ptdw->index_ap_He2,_TRUE_,index_ap,1); // beginning of 2nd He-recombination (HeII) + class_define_index(ptw->ptdw->index_ap_H,_TRUE_,index_ap,1); // beginning of H-recombination (HI) + class_define_index(ptw->ptdw->index_ap_frec,_TRUE_,index_ap,1); // during and after full H- and HeII-recombination + class_define_index(ptw->ptdw->index_ap_reio,_TRUE_,index_ap,1); // during reionization + ptw->ptdw->ap_size=index_ap; + + /* Set correct initial approximation scheme */ + ptw->ptdw->ap_current = ptw->ptdw->index_ap_brec; + if (ptw->has_ap_idmtca == _TRUE_) + ptw->ptdw->ap_current = ptw->ptdw->index_ap_idmtca; + + /** - store all ending redshifts for each approximation */ + class_alloc(ptw->ptdw->ap_z_limits,ptw->ptdw->ap_size*sizeof(double),pth->error_message); + + if (ptw->has_ap_idmtca == _TRUE_) + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_idmtca] = ptw->z_ap_idmtca; + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_brec] = + ppr->recfast_z_He_1+ppr->recfast_delta_z_He_1; // beginning 1st He-recombination + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_He1] = + ppr->recfast_z_He_2+ppr->recfast_delta_z_He_2; // end 1st He-recombination + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_He1f] = + ppr->recfast_z_He_3+ppr->recfast_delta_z_He_3; // beginning 2nd He-recombination + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_He2] = + ppr->recfast_z_early_H_recombination; // beginning early H-recombination + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_H] = + ppr->recfast_z_full_H_recombination; // beginning full recombination equations + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_frec] = + ppr->reionization_z_start_max; // beginning reionization + ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_reio] = 0.0; // today + + /** - Rescale these redshifts in case of varying fundamental constants */ + if (pth->has_varconst == _TRUE_) { + for (index_ap=0;index_apptdw->ap_size;++index_ap){ + class_call(background_varconst_of_z(pba,ptw->ptdw->ap_z_limits[index_ap], &alpha, &me), + pba->error_message, + pth->error_message); + ptw->ptdw->ap_z_limits[index_ap]*=me*alpha*alpha; + } + } + + /** - store smoothing deltas for transitions at the beginning of each aproximation */ + class_alloc(ptw->ptdw->ap_z_limits_delta,ptw->ptdw->ap_size*sizeof(double),pth->error_message); + + if (ptw->has_ap_idmtca == _TRUE_) + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_idmtca] = 0.; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_brec] = 0.; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_He1] = ppr->recfast_delta_z_He_1; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_He1f] = ppr->recfast_delta_z_He_2; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_He2] = ppr->recfast_delta_z_He_3; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_H] = ppr->recfast_delta_z_early_H_recombination; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_frec] = ppr->recfast_delta_z_full_H_recombination; + ptw->ptdw->ap_z_limits_delta[ptw->ptdw->index_ap_reio] = ppr->recfast_delta_z_reio; + + /* With recombination computed by HyRec or Recfast, we need to allocate and initialize the wrappers */ + + switch (pth->recombination) { + + case hyrec: + class_alloc(ptw->ptdw->phyrec, + sizeof(struct thermohyrec), + pth->error_message); + + ptw->ptdw->phyrec->thermohyrec_verbose = pth->hyrec_verbose; + class_call(thermodynamics_hyrec_init(ppr,pba,pth,ptw->SIunit_nH0,pba->T_cmb,ptw->fHe, ptw->ptdw->ap_z_limits[ptw->ptdw->index_ap_brec],ptw->ptdw->phyrec), + ptw->ptdw->phyrec->error_message, + pth->error_message); + break; + + case recfast: + class_alloc(ptw->ptdw->precfast, + sizeof(struct thermorecfast), + pth->error_message); + + class_call(recfast_init(ppr,pba,pth,ptw->ptdw->precfast,pth->recfast_photoion_mode,ptw->fHe), + ptw->ptdw->precfast->error_message, + pth->error_message); + + break; + } + + /** - Allocate reionisation parameter workspace */ + class_alloc(ptw->ptrp, + sizeof(struct thermo_reionization_parameters), + pth->error_message); return _SUCCESS_; } /** - * In case of non-minimal cosmology, this function determines the - * energy rate injected in the IGM at a given redshift z (= on-the-spot - * annihilation). This energy injection may come e.g. from dark matter - * annihilation or decay. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param preco Input: pointer to recombination structure - * @param z Input: redshift - * @param energy_rate Output: energy density injection rate - * @param error_message Output: error message + * Assign value to each relevant index in vectors of thermodynamical + * quantities, and the reionization parameters + * + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to thermodynamics structure + * @param ptw Input/Output: pointer to thermo workspace * @return the error status */ -int thermodynamics_onthespot_energy_injection( - struct precision * ppr, - struct background * pba, - struct recombination * preco, - double z, - double * energy_rate, - ErrorMsg error_message - ) { +int thermodynamics_indices( + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw + ) { + + /** Summary: */ - double annihilation_at_z; - double rho_cdm_today; - double u_min; - double erfc; + /** - define local variables */ + struct thermo_reionization_parameters* ptrp = ptw->ptrp; + /* a running index for the vector of thermodynamics quantities */ + int index_th; + /* a running index for the vector of reionization parameters */ + int index_re; + + /** - initialization of all indices and flags in thermodynamics structure */ + index_th = 0; + + /* Free electron fraction */ + class_define_index(pth->index_th_xe,_TRUE_,index_th,1); + /* Optical depth and related quantities */ + class_define_index(pth->index_th_dkappa,_TRUE_,index_th,1); + class_define_index(pth->index_th_ddkappa,_TRUE_,index_th,1); + class_define_index(pth->index_th_dddkappa,_TRUE_,index_th,1); + class_define_index(pth->index_th_exp_m_kappa,_TRUE_,index_th,1); + /* Visibility function + derivatives */ + class_define_index(pth->index_th_g,_TRUE_,index_th,1); + class_define_index(pth->index_th_dg,_TRUE_,index_th,1); + class_define_index(pth->index_th_ddg,_TRUE_,index_th,1); + /* Baryon quantities, Temperature, Sound Speed, Drag time end */ + class_define_index(pth->index_th_Tb,_TRUE_,index_th,1); + class_define_index(pth->index_th_dTb,_TRUE_,index_th,1); + class_define_index(pth->index_th_wb,_TRUE_,index_th,1); + class_define_index(pth->index_th_cb2,_TRUE_,index_th,1); + class_define_index(pth->index_th_tau_d,_TRUE_,index_th,1); + /* Derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested) */ + class_define_index(pth->index_th_dcb2,pth->compute_cb2_derivatives,index_th,1); + class_define_index(pth->index_th_ddcb2,pth->compute_cb2_derivatives,index_th,1); + + /* idm quantities */ + if (pba->has_idm == _TRUE_) { + /* global quantities */ + class_define_index(pth->index_th_T_idm, pba->has_idm, index_th, 1); + class_define_index(pth->index_th_c2_idm, pba->has_idm, index_th, 1); + /* idm-b quantities */ + class_define_index(pth->index_th_R_idm_b,pth->has_idm_b,index_th,1); + class_define_index(pth->index_th_dR_idm_b,pth->has_idm_b,index_th,1); + class_define_index(pth->index_th_ddR_idm_b,pth->has_idm_b,index_th,1); + /* idm-g quantities */ + class_define_index(pth->index_th_dmu_idm_g,pth->has_idm_g, index_th, 1); + class_define_index(pth->index_th_ddmu_idm_g,pth->has_idm_g, index_th, 1); + class_define_index(pth->index_th_dddmu_idm_g,pth->has_idm_g, index_th, 1); + class_define_index(pth->index_th_exp_mu_idm_g,pth->has_idm_g, index_th, 1); + /* idm-dr quantities */ + class_define_index(pth->index_th_dmu_idm_dr,pth->has_idm_dr, index_th, 1); + class_define_index(pth->index_th_ddmu_idm_dr,pth->has_idm_dr, index_th, 1); + class_define_index(pth->index_th_dddmu_idm_dr,pth->has_idm_dr, index_th, 1); + class_define_index(pth->index_th_tau_idm_dr,pth->has_idm_dr, index_th, 1); + class_define_index(pth->index_th_tau_idr,pth->has_idm_dr, index_th, 1); + class_define_index(pth->index_th_g_idm_dr,pth->has_idm_dr, index_th, 1); + } + /* idr quantities */ + if (pba->has_idr == _TRUE_) { + class_define_index(pth->index_th_T_idr,pba->has_idr, index_th, 1); + class_define_index(pth->index_th_dmu_idr,pba->has_idr, index_th, 1); + } - /*redshift-dependent annihilation parameter*/ + /* Quantity defining the stepsize in perturbations.c */ + class_define_index(pth->index_th_rate,_TRUE_,index_th,1); + /* Damping scale */ + class_define_index(pth->index_th_r_d,pth->compute_damping_scale,index_th,1); - if (z>preco->annihilation_zmax) { + /* end of thermodynamics indices */ - annihilation_at_z = preco->annihilation* - exp(-preco->annihilation_variation*pow(log((preco->annihilation_z+1.)/(preco->annihilation_zmax+1.)),2)); - } - else if (z>preco->annihilation_zmin) { + pth->th_size = index_th; - annihilation_at_z = preco->annihilation* - exp(preco->annihilation_variation*(-pow(log((preco->annihilation_z+1.)/(preco->annihilation_zmax+1.)),2) - +pow(log((z+1.)/(preco->annihilation_zmax+1.)),2))); - } - else { + /** - initialization of all indices of parameters of reionization function */ - annihilation_at_z = preco->annihilation* - exp(preco->annihilation_variation*(-pow(log((preco->annihilation_z+1.)/(preco->annihilation_zmax+1.)),2) - +pow(log((preco->annihilation_zmin+1.)/(preco->annihilation_zmax+1.)),2))); - } + index_re=0; - rho_cdm_today = pow(pba->H0*_c_/_Mpc_over_m_,2)*3/8./_PI_/_G_*pba->Omega0_cdm*_c_*_c_; /* energy density in J/m^3 */ + class_define_index(ptrp->index_re_reio_start,_TRUE_,index_re,1); - u_min = (1+z)/(1+preco->annihilation_z_halo); + switch (pth->reio_parametrization) { - erfc = pow(1.+0.278393*u_min+0.230389*u_min*u_min+0.000972*u_min*u_min*u_min+0.078108*u_min*u_min*u_min*u_min,-4); + /* case with no reionization requested */ + case reio_none: + class_define_index(ptrp->index_re_xe_before,_TRUE_,index_re,1); + break; - *energy_rate = pow(rho_cdm_today,2)/_c_/_c_*pow((1+z),3)* - (pow((1.+z),3)*annihilation_at_z+preco->annihilation_f_halo*erfc) - +rho_cdm_today*pow((1+z),3)*preco->decay; - /* energy density rate in J/m^3/s (remember that annihilation_at_z is in m^3/s/Kg and decay in s^-1) */ + /* case where x_e(z) taken like in CAMB (other cases can be added) */ + case reio_camb: + case reio_half_tanh: + class_define_index(ptrp->index_re_reio_redshift,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_reio_exponent,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_reio_width,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_xe_before,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_xe_after,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_helium_fullreio_fraction,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_helium_fullreio_redshift,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_helium_fullreio_width,_TRUE_,index_re,1); + break; - return _SUCCESS_; + /* case where x_e(z) is interpolated by tanh between plateaux */ + case reio_bins_tanh: -} + /* the code will not only copy here the "bin centers" passed in input. It will add an initial and final value for (z,xe). So + this array has a dimension bigger than the bin center array */ -/** - * In case of non-minimal cosmology, this function determines the - * effective energy rate absorbed by the IGM at a given redshift - * (beyond the on-the-spot annihilation). This energy injection may - * come e.g. from dark matter annihilation or decay. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param preco Input: pointer to recombination structure - * @param z Input: redshift - * @param energy_rate Output: energy density injection rate - * @param error_message Output: error message - * @return the error status - */ + ptrp->re_z_size=pth->binned_reio_num+2; /* add two values: beginning and end of reio */ -int thermodynamics_energy_injection( - struct precision * ppr, - struct background * pba, - struct recombination * preco, - double z, - double * energy_rate, - ErrorMsg error_message - ) { + class_define_index(ptrp->index_re_first_z,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_first_xe,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_step_sharpness,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_xe_before,_TRUE_,index_re,1); + break; - double zp,dz; - double integrand,first_integrand; - double factor,result; - double nH0; - double onthespot; + /* case where x_e(z) is interpolated by tanh between knots */ + case reio_many_tanh: - if (preco->annihilation > 0) { + /* the code will not only copy here the "jump centers" passed in input. It will add an initial and final value for (z,xe). So + this array has a dimension bigger than the jump center array */ - if (preco->has_on_the_spot == _FALSE_) { + ptrp->re_z_size=pth->many_tanh_num+2; /* add two values: beginning and end of reio */ - /* number of hydrogen nuclei today in m**-3 */ - nH0 = 3.*preco->H0*preco->H0*pba->Omega0_b/(8.*_PI_*_G_*_m_H_)*(1.-preco->YHe); + class_define_index(ptrp->index_re_first_z,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_first_xe,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_step_sharpness,_TRUE_,index_re,1); + class_define_index(ptrp->index_re_xe_before,_TRUE_,index_re,1); + break; - /* factor = c sigma_T n_H(0) / (H(0) \sqrt(Omega_m)) (dimensionless) */ - factor = _sigma_ * nH0 / pba->H0 * _Mpc_over_m_ / sqrt(pba->Omega0_b+pba->Omega0_cdm); + /* case where x_e(z) is linearly interpolated between knots */ + case reio_inter: - /* integral over z'(=zp) with step dz */ - dz=1.; + ptrp->re_z_size=pth->reio_inter_num; - /* first point in trapezoidal integral */ - zp = z; - class_call(thermodynamics_onthespot_energy_injection(ppr,pba,preco,zp,&onthespot,error_message), - error_message, - error_message); - first_integrand = factor*pow(1+z,8)/pow(1+zp,7.5)*exp(2./3.*factor*(pow(1+z,1.5)-pow(1+zp,1.5)))*onthespot; // beware: versions before 2.4.3, there were wrong exponents: 6 and 5.5 instead of 8 and 7.5 - result = 0.5*dz*first_integrand; + class_define_index(ptrp->index_re_first_z,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_first_xe,_TRUE_,index_re,ptrp->re_z_size); + class_define_index(ptrp->index_re_xe_before,_TRUE_,index_re,1); + break; - /* other points in trapezoidal integral */ - do { + default: + class_stop(pth->error_message, + "value of reio_parametrization=%d unclear",pth->reio_parametrization); + break; + } + ptrp->re_size = index_re; - zp += dz; - class_call(thermodynamics_onthespot_energy_injection(ppr,pba,preco,zp,&onthespot,error_message), - error_message, - error_message); - integrand = factor*pow(1+z,8)/pow(1+zp,7.5)*exp(2./3.*factor*(pow(1+z,1.5)-pow(1+zp,1.5)))*onthespot; // beware: versions before 2.4.3, there were wrong exponents: 6 and 5.5 instead of 8 and 7.5 - result += dz*integrand; + return _SUCCESS_; - } while (integrand/first_integrand > 0.02); +} - /* uncomment these lines if you also want to compute the on-the-spot for comparison */ - class_call(thermodynamics_onthespot_energy_injection(ppr,pba,preco,z,&onthespot,error_message), - error_message, - error_message); +/** + * Initialize the lists (of redshift, tau, etc.) of the thermodynamics struct + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to thermodynamics structure + * @param ptw Input: pointer to thermo workspace + * @return the error status + */ - } - else { - class_call(thermodynamics_onthespot_energy_injection(ppr,pba,preco,z,&result,error_message), - error_message, - error_message); - } +int thermodynamics_lists( + struct precision * ppr, + struct background* pba, + struct thermodynamics* pth, + struct thermo_workspace* ptw + ) { - /* these test lines print the energy rate rescaled by (1+z)^6 in J/m^3/s, with or without the on-the-spot approximation */ - /* - fprintf(stdout,"%e %e %e \n", - 1.+z, - result/pow(1.+z,6), - onthespot/pow(1.+z,6)); - */ + /** Summary: */ - /* effective energy density rate in J/m^3/s */ - *energy_rate = result; + /** Define local variables */ + int index_tau, index_z; + double zinitial,zlinear; + pth->tt_size = ptw->Nz_tot; + + /** - allocate tables*/ + class_alloc(pth->tau_table,pth->tt_size*sizeof(double),pth->error_message); + class_alloc(pth->z_table,pth->tt_size*sizeof(double),pth->error_message); + class_alloc(pth->thermodynamics_table,pth->th_size*pth->tt_size*sizeof(double),pth->error_message); + class_alloc(pth->d2thermodynamics_dz2_table,pth->th_size*pth->tt_size*sizeof(double),pth->error_message); + + /** - define time sampling */ + + /* Initial z, and the z at which we switch to linear sampling */ + zinitial = ppr->thermo_z_initial; + zlinear = ppr->thermo_z_linear; + + /* -> Between z_initial and z_linear, we use the spacing of recombination sampling */ + for (index_z=0; index_z Nz_reco_log; index_z++) { + pth->z_table[(pth->tt_size-1) - index_z] = -(-exp((log(zinitial)-log(zlinear))*(double)(ptw->Nz_reco_log-1-index_z) / (double)(ptw->Nz_reco_log-1)+log(zlinear))); } - else { - *energy_rate = 0.; + + /* -> Between z_linear and reionization_z_start_max, we use the spacing of recombination sampling */ + for (index_z=0; index_z Nz_reco_lin; index_z++) { + pth->z_table[(pth->tt_size-1)-(index_z+ptw->Nz_reco_log)] = -(-(zlinear-ppr->reionization_z_start_max) * (double)(ptw->Nz_reco_lin-1-index_z) / (double)(ptw->Nz_reco_lin) - ppr->reionization_z_start_max); } - return _SUCCESS_; + /* -> Between reionization_z_start_max and 0, we use the spacing of reionization sampling, leaving out the first point to not double-count it */ + for (index_z=0; index_z Nz_reio; index_z++) { + pth->z_table[(pth->tt_size-1)-(index_z+ptw->Nz_reco)] = -(-ppr->reionization_z_start_max * (double)(ptw->Nz_reio-1-index_z) / (double)(ptw->Nz_reio)); + } + + for (index_tau=0; index_tau < pth->tt_size; index_tau++) { + class_call(background_tau_of_z(pba, + pth->z_table[index_tau], + pth->tau_table+index_tau), + pba->error_message, + pth->error_message); + } + + /** - store initial value of conformal time in the structure */ + pth->tau_ini = pth->tau_table[pth->tt_size-1]; + return _SUCCESS_; } /** - * This subroutine contains the reionization function \f$ X_e(z) \f$ - * (one for each scheme; so far, only the function corresponding to - * the reio_camb scheme is coded) + * This routine initializes reionization_parameters for the chosen scheme of reionization function. * - * @param z Input: redshift - * @param pth Input: pointer to thermo structure, to know which scheme is used - * @param preio Input: pointer to reionization structure, containing the parameters of the function \f$ X_e(z) \f$ - * @param xe Output: \f$ X_e(z) \f$ + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param preio Input/Output: pointer to the reionization parameters structure + * @return the error status */ -int thermodynamics_reionization_function( - double z, - struct thermo * pth, - struct reionization * preio, - double * xe - ) { +int thermodynamics_set_parameters_reionization( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_reionization_parameters * preio + ) { /** Summary: */ - /** - define local variables */ - double argument; - int i; - double z_jump; + /** Define local variables */ + int bin; + int point; + double xe_input,xe_actual,z_sup; - int jump; - double center,before, after,width,one_jump; + /** - allocate the vector of parameters defining the function \f$ X_e(z) \f$ */ + class_alloc(preio->reionization_parameters,preio->re_size*sizeof(double),pth->error_message); - /** - implementation of ionization function similar to the one in CAMB */ + class_test(ppr->reionization_sampling <= 0.0, + pth->error_message, + "stop to avoid division by zero. Reionization stepsize has to be larger than zero"); - if ((pth->reio_parametrization == reio_camb) || (pth->reio_parametrization == reio_half_tanh)) { + switch (pth->reio_parametrization) { - /** - --> case z > z_reio_start */ + /** - (a) no reionization */ + case reio_none: + preio->reionization_parameters[preio->index_re_reio_start] = 0.; + break; - if (z > preio->reionization_parameters[preio->index_reio_start]) { + /** - (b) if reionization implemented like in CAMB, or half tanh like in 1209.0247 */ + case reio_camb: + case reio_half_tanh: - *xe = preio->reionization_parameters[preio->index_reio_xe_before]; + /** - --> set values of these parameters, excepted those depending on the reionization redshift */ + if (pth->reio_parametrization == reio_camb) { + /* xe_after_reio: H + singly ionized He (checked before that denominator is non-zero) */ + preio->reionization_parameters[preio->index_re_xe_after] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); + } + if (pth->reio_parametrization == reio_half_tanh) { + /* xe_after_reio: neglect He ionization */ + preio->reionization_parameters[preio->index_re_xe_after] = 1.; + //+ 2*pth->YHe/(_not4_*(1.-pth->YHe)); /* xe_after_reio: H + fully ionized He */ } - else { + preio->reionization_parameters[preio->index_re_reio_exponent] = pth->reionization_exponent; /* reio_exponent */ + preio->reionization_parameters[preio->index_re_reio_width] = pth->reionization_width; /* reio_width */ + preio->reionization_parameters[preio->index_re_helium_fullreio_fraction] = pth->YHe/(_not4_*(1.-pth->YHe)); /* helium_fullreio_fraction (checked before that denominator is non-zero) */ + preio->reionization_parameters[preio->index_re_helium_fullreio_redshift] = pth->helium_fullreio_redshift; /* helium_fullreio_redshift */ + preio->reionization_parameters[preio->index_re_helium_fullreio_width] = pth->helium_fullreio_width; /* helium_fullreio_width */ - /** - --> case z < z_reio_start: hydrogen contribution (tanh of complicated argument) */ + class_test(preio->reionization_parameters[preio->index_re_reio_exponent]==0, + pth->error_message, + "stop to avoid division by zero"); + + class_test(preio->reionization_parameters[preio->index_re_reio_width]==0, + pth->error_message, + "stop to avoid division by zero"); + + class_test(preio->reionization_parameters[preio->index_re_helium_fullreio_width]==0, + pth->error_message, + "stop to avoid division by zero"); + + /** - --> if reionization redshift given as an input, initialize the remaining values*/ + + if (pth->reio_z_or_tau == reio_z) { - argument = (pow((1.+preio->reionization_parameters[preio->index_reio_redshift]), - preio->reionization_parameters[preio->index_reio_exponent]) - - pow((1.+z),preio->reionization_parameters[preio->index_reio_exponent])) - /(preio->reionization_parameters[preio->index_reio_exponent] - /* no possible segmentation fault: checked to be non-zero in thermodynamics_reionization() */ - *pow((1.+preio->reionization_parameters[preio->index_reio_redshift]), - (preio->reionization_parameters[preio->index_reio_exponent]-1.))) - /preio->reionization_parameters[preio->index_reio_width]; - /* no possible segmentation fault: checked to be non-zero in thermodynamics_reionization() */ + /* reionization redshift */ + preio->reionization_parameters[preio->index_re_reio_redshift] = pth->z_reio; + + /* infer starting redshift for hydrogen */ if (pth->reio_parametrization == reio_camb) { - *xe = (preio->reionization_parameters[preio->index_reio_xe_after] - -preio->reionization_parameters[preio->index_reio_xe_before]) - *(tanh(argument)+1.)/2. - +preio->reionization_parameters[preio->index_reio_xe_before]; + + preio->reionization_parameters[preio->index_re_reio_start] = preio->reionization_parameters[preio->index_re_reio_redshift]+ + ppr->reionization_start_factor*pth->reionization_width; + + /* if starting redshift for helium is larger, take that one (does not happen in realistic models) */ + if (preio->reionization_parameters[preio->index_re_reio_start] < + pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width) + + preio->reionization_parameters[preio->index_re_reio_start] = + pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width; + } else { - *xe = (preio->reionization_parameters[preio->index_reio_xe_after] - -preio->reionization_parameters[preio->index_reio_xe_before]) - *tanh(argument) - +preio->reionization_parameters[preio->index_reio_xe_before]; + + preio->reionization_parameters[preio->index_re_reio_start] = pth->z_reio; } - /** - --> case z < z_reio_start: helium contribution (tanh of simpler argument) */ + class_test(preio->reionization_parameters[preio->index_re_reio_start] > ppr->reionization_z_start_max, + pth->error_message, + "starting redshift for reionization > reionization_z_start_max = %e\n",ppr->reionization_z_start_max); - if (pth->reio_parametrization == reio_camb) { - argument = (preio->reionization_parameters[preio->index_helium_fullreio_redshift] - z) - /preio->reionization_parameters[preio->index_helium_fullreio_width]; - /* no possible segmentation fault: checked to be non-zero in thermodynamics_reionization() */ - *xe += preio->reionization_parameters[preio->index_helium_fullreio_fraction] - * (tanh(argument)+1.)/2.; - } } - return _SUCCESS_; + /** - --> if reionization optical depth given as an input, find reionization redshift by bisection and initialize the remaining values */ + if (pth->reio_z_or_tau == reio_tau) { + z_sup = ppr->reionization_z_start_max-ppr->reionization_start_factor*pth->reionization_width; + class_test(z_sup < 0., + pth->error_message, + "parameters are such that reionization cannot take place before today while starting after z_start_max; need to increase z_start_max"); - } + /* maximum possible reionization redshift */ + preio->reionization_parameters[preio->index_re_reio_redshift] = z_sup; + /* maximum possible starting redshift */ + preio->reionization_parameters[preio->index_re_reio_start] = ppr->reionization_z_start_max; + } + break; - /** - implementation of binned ionization function similar to astro-ph/0606552 */ + /** - (c) if reionization implemented with reio_bins_tanh scheme */ + case reio_bins_tanh: - if (pth->reio_parametrization == reio_bins_tanh) { + /* this algorithm requires at least two bin centers (i.e. at least 4 values in the (z,xe) array, counting the edges). */ + class_test(pth->binned_reio_num<2, + pth->error_message, + "current implementation of binned reio requires at least two bin centers"); - /** - --> case z > z_reio_start */ + /* check that this input can be interpreted by the code */ + for (bin=1; binbinned_reio_num; bin++) { + class_test(pth->binned_reio_z[bin-1]>=pth->binned_reio_z[bin], + pth->error_message, + "value of reionization bin centers z_i expected to be passed in growing order: %e, %e", + pth->binned_reio_z[bin-1], + pth->binned_reio_z[bin]); + } - if (z > preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]) { - *xe = preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1]; + /* the code will not only copy here the "bin centers" passed in input. It will add an initial and final value for (z,xe). + First, fill all entries except the first and the last */ + for (bin=1; binre_z_size-1; bin++) { + preio->reionization_parameters[preio->index_re_first_z+bin] = pth->binned_reio_z[bin-1]; + preio->reionization_parameters[preio->index_re_first_xe+bin] = pth->binned_reio_xe[bin-1]; } - else if (z < preio->reionization_parameters[preio->index_reio_first_z]) { - *xe = preio->reionization_parameters[preio->index_reio_first_xe]; + /* find largest value of z in the array. We choose to define it as z_(i_max) + 2*(the distance between z_(i_max) and z_(i_max-1)). E.g. if + the bins are in 10,12,14, the largest z will be 18. */ + preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1] = + preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-2] + +2.*(preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-2] + -preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-3]); + + /* copy this value in reio_start */ + preio->reionization_parameters[preio->index_re_reio_start] = preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]; + + /* check it's not too big */ + class_test(preio->reionization_parameters[preio->index_re_reio_start] > ppr->reionization_z_start_max, + pth->error_message, + "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", + preio->reionization_parameters[preio->index_re_reio_start], + ppr->reionization_z_start_max); + + /* find smallest value of z in the array. We choose to define it as z_0 - (the distance between z_1 and z_0). E.g. if + the bins are in 10,12,14, the stop redshift will be 8. */ + preio->reionization_parameters[preio->index_re_first_z] = + 2.*preio->reionization_parameters[preio->index_re_first_z+1] + -preio->reionization_parameters[preio->index_re_first_z+2]; + + /* check it's not too small */ + /* 6.06.2015: changed this test to simply imposing that the first z is at least zero */ + /* + class_test(preio->reionization_parameters[preio->index_re_first_z] < 0, + pth->error_message, + "final redshift for reionization = %e, you must change the binning or redefine the way in which the code extrapolates below the first value of z_i",preio->reionization_parameters[preio->index_re_first_z]); + */ + if (preio->reionization_parameters[preio->index_re_first_z] < 0) { + preio->reionization_parameters[preio->index_re_first_z] = 0.; } - else { + /* infer xe after reio */ + preio->reionization_parameters[preio->index_re_first_xe] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); /* xe_after_reio: H + singly ionized He (note: segmentation fault impossible, + checked before that denominator is non-zero) */ + + /* pass step sharpness parameter */ + preio->reionization_parameters[preio->index_re_step_sharpness] = pth->binned_reio_step_sharpness; + break; + + /** - (d) if reionization implemented with reio_many_tanh scheme */ + case reio_many_tanh: + + /* this algorithm requires at least one jump centers */ + class_test(pth->many_tanh_num<1, + pth->error_message, + "current implementation of reio_many_tanh requires at least one jump center"); + + /* check that z input can be interpreted by the code */ + for (bin=1; binmany_tanh_num; bin++) { + class_test(pth->many_tanh_z[bin-1]>=pth->many_tanh_z[bin], + pth->error_message, + "value of reionization bin centers z_i expected to be passed in growing order: %e, %e", + pth->many_tanh_z[bin-1], + pth->many_tanh_z[bin]); + + } + + /* the code will not only copy here the "jump centers" passed in input. It will add an initial and final value for (z,xe). + First, fill all entries except the first and the last */ + for (bin=1; binre_z_size-1; bin++) { + + preio->reionization_parameters[preio->index_re_first_z+bin] = pth->many_tanh_z[bin-1]; + + /* check that xe input can be interpreted by the code */ + xe_input = pth->many_tanh_xe[bin-1]; + if (xe_input >= 0.) { + xe_actual = xe_input; + } + //-1 means "after hydrogen + first helium recombination" + else if ((xe_input<-0.9) && (xe_input>-1.1)) { + xe_actual = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); + } + //-2 means "after hydrogen + second helium recombination" + else if ((xe_input<-1.9) && (xe_input>-2.1)) { + xe_actual = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); + } + //other negative number is nonsense + else { + class_stop(pth->error_message, + "Your entry for many_tanh_xe[%d] is %e, this makes no sense (either positive or 0,-1,-2)", + bin-1,pth->many_tanh_xe[bin-1]); + } + + preio->reionization_parameters[preio->index_re_first_xe+bin] = xe_actual; + } + + /* find largest value of z in the array. We choose to define it as z_(i_max) + ppr->reionization_start_factor*step_sharpness. */ + preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1] = + preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-2] + +ppr->reionization_start_factor*pth->many_tanh_width; + + /* copy this value in reio_start */ + preio->reionization_parameters[preio->index_re_reio_start] = preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]; + + /* check it's not too big */ + class_test(preio->reionization_parameters[preio->index_re_reio_start] > ppr->reionization_z_start_max, + pth->error_message, + "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", + preio->reionization_parameters[preio->index_re_reio_start], + ppr->reionization_z_start_max); + + /* find smallest value of z in the array. We choose to define it as z_0 - ppr->reionization_start_factor*step_sharpness, but at least zero. */ + preio->reionization_parameters[preio->index_re_first_z] = + preio->reionization_parameters[preio->index_re_first_z+1] + -ppr->reionization_start_factor*pth->many_tanh_width; + + if (preio->reionization_parameters[preio->index_re_first_z] < 0) { + preio->reionization_parameters[preio->index_re_first_z] = 0.; + } + + /* infer xe after reio */ + preio->reionization_parameters[preio->index_re_first_xe] = preio->reionization_parameters[preio->index_re_first_xe+1]; + + /* if we want to model only hydrogen reionization and neglect both helium reionization */ + //preio->reionization_parameters[preio->index_re_first_xe] = 1.; + + /* if we want to model only hydrogen + first helium reionization and neglect second helium reionization */ + //preio->reionization_parameters[preio->index_re_first_xe] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); + + /* if we want to model hydrogen + two helium reionization */ + //preio->reionization_parameters[preio->index_re_first_xe] = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); + + /* pass step sharpness parameter */ + class_test(pth->many_tanh_width<=0, + pth->error_message, + "many_tanh_width must be strictly positive, you passed %e", + pth->many_tanh_width); + + preio->reionization_parameters[preio->index_re_step_sharpness] = pth->many_tanh_width; + break; + + /** - (e) if reionization implemented with reio_inter scheme */ + case reio_inter: + + /* this parametrization requires at least one point (z,xe) */ + class_test(pth->reio_inter_num<1, + pth->error_message, + "current implementation of reio_inter requires at least one point (z,xe)"); + + /* this parametrization requires that the first z value is zero */ + class_test(pth->reio_inter_z[0] != 0., + pth->error_message, + "For reio_inter scheme, the first value of reio_inter_z[...] should always be zero, you passed %e", + pth->reio_inter_z[0]); + + /* check that z input can be interpreted by the code */ + for (point=1; pointreio_inter_num; point++) { + class_test(pth->reio_inter_z[point-1]>=pth->reio_inter_z[point], + pth->error_message, + "value of reionization bin centers z_i expected to be passed in growing order, unlike: %e, %e", + pth->reio_inter_z[point-1], + pth->reio_inter_z[point]); + } + + /* this parametrization requires that the last x_i value is zero (the code will substitute it with the value that one would get in + absence of reionization, as compute by the recombination code) */ + class_test(pth->reio_inter_xe[pth->reio_inter_num-1] != 0., + pth->error_message, + "For reio_inter scheme, the last value of reio_inter_xe[...] should always be zero, you passed %e", + pth->reio_inter_xe[pth->reio_inter_num-1]); - i = 0; - while (preio->reionization_parameters[preio->index_reio_first_z+i+1]reionization_parameters[preio->index_reio_first_xe+i] - +0.5*(tanh((2.*(z-preio->reionization_parameters[preio->index_reio_first_z+i]) - /(preio->reionization_parameters[preio->index_reio_first_z+i+1] - -preio->reionization_parameters[preio->index_reio_first_z+i])-1.) - /preio->reionization_parameters[preio->index_reio_step_sharpness]) - /tanh(1./preio->reionization_parameters[preio->index_reio_step_sharpness])+1.) - *(preio->reionization_parameters[preio->index_reio_first_xe+i+1] - -preio->reionization_parameters[preio->index_reio_first_xe+i]); - */ + /* copy here the (z,xe) values passed in input. */ + for (point=0; pointre_z_size; point++) { - /* compute the central redshift value of the tanh jump */ + preio->reionization_parameters[preio->index_re_first_z+point] = pth->reio_inter_z[point]; - if (i == preio->reio_num_z-2) { - z_jump = preio->reionization_parameters[preio->index_reio_first_z+i] - + 0.5*(preio->reionization_parameters[preio->index_reio_first_z+i] - -preio->reionization_parameters[preio->index_reio_first_z+i-1]); + /* check that xe input can be interpreted by the code */ + xe_input = pth->reio_inter_xe[point]; + if (xe_input >= 0.) { + xe_actual = xe_input; } - else { - z_jump = 0.5*(preio->reionization_parameters[preio->index_reio_first_z+i+1] - + preio->reionization_parameters[preio->index_reio_first_z+i]); + //-1 means "after hydrogen + first helium recombination" + else if ((xe_input<-0.9) && (xe_input>-1.1)) { + xe_actual = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); + } + //-2 means "after hydrogen + second helium recombination" + else if ((xe_input<-1.9) && (xe_input>-2.1)) { + xe_actual = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); + } + //other negative number is nonsense + else { + class_stop(pth->error_message, + "Your entry for reio_inter_xe[%d] is %e, this makes no sense (either positive or 0,-1,-2)", + point,pth->reio_inter_xe[point]); } - /* implementation of the tanh jump */ - - *xe = preio->reionization_parameters[preio->index_reio_first_xe+i] - +0.5*(tanh((z-z_jump) - /preio->reionization_parameters[preio->index_reio_step_sharpness])+1.) - *(preio->reionization_parameters[preio->index_reio_first_xe+i+1] - -preio->reionization_parameters[preio->index_reio_first_xe+i]); - + preio->reionization_parameters[preio->index_re_first_xe+point] = xe_actual; } - return _SUCCESS_; - - } - - /** - implementation of many tanh jumps */ - - if (pth->reio_parametrization == reio_many_tanh) { + /* copy highest redshift in reio_start */ + preio->reionization_parameters[preio->index_re_reio_start] = preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]; - /** - --> case z > z_reio_start */ + /* check it's not too big */ + class_test(preio->reionization_parameters[preio->index_re_reio_start] > ppr->reionization_z_start_max, + pth->error_message, + "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", + preio->reionization_parameters[preio->index_re_reio_start], + ppr->reionization_z_start_max); + break; - if (z > preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]) { - *xe = preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1]; - } + default: + class_stop(pth->error_message, + "value of reio_parametrization=%d unclear",pth->reio_parametrization); + break; + } - else if (z > preio->reionization_parameters[preio->index_reio_first_z]) { + return _SUCCESS_; - *xe = preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1]; +} - for (jump=1; jumpreio_num_z-1; jump++){ +/** + * Integrate thermodynamics with your favorite recombination code. The default options are HyRec and RecFastCLASS. + * + * Integrate thermodynamics with HyRec or Recfast, allocate and fill part of the thermodynamics interpolation table (the rest is filled in + * thermodynamics_calculate_remaining_quantitie). + * + * Version modified by Daniel Meinert and Nils Schoeneberg to use the ndf15 evolver or any other evolver inherent to CLASS, + * modified again by Nils Schoeneberg to use wrappers. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to thermodynamics structure where results are stored + * @param ptw Input: pointer to thermo_workspace structure used to communicate with generic evolver + * @param pvecback Input: pointer to an allocated (but empty) vector of background variables + * @return the error status + * + * Integrate thermodynamics with your favorite recombination code. The default options are HyRec and Recfast. + */ - center = preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1-jump]; - // before and after are meant with respect to growing z, not growing time - before = preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1-jump] - -preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-jump]; - after = 0.; - width = preio->reionization_parameters[preio->index_reio_step_sharpness]; +int thermodynamics_solve( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw, + double * pvecback + ) { + /** Summary: */ - class_call(thermodynamics_tanh(z,center,before,after,width,&one_jump), - pth->error_message, - pth->error_message); + /** - define local variables */ + /* Index of current approximation scheme */ + int index_ap; + /* number of time intervals of one approximation scheme */ + int interval_number; + /* index running over such time intervals */ + int index_interval; + /* edge of intervals where approximation scheme is uniform: z_ini, z_switch_1, ..., z_end */ + double * interval_limit; + /* other z sampling variables */ + int i; + double * mz_output; - *xe += one_jump; + /* contains all fixed parameters which should be passed to thermodynamics_derivs */ + struct thermodynamics_parameters_and_workspace tpaw; - } + /* function pointer to ODE evolver and names of possible evolvers. */ + extern int evolver_rk(EVOLVER_PROTOTYPE); + extern int evolver_ndf15(EVOLVER_PROTOTYPE); + int (*generic_evolver)(EVOLVER_PROTOTYPE) = evolver_ndf15; + + /** - choose evolver */ + switch (ppr->thermo_evolver) { + case rk: + generic_evolver = evolver_rk; + break; + case ndf15: + generic_evolver = evolver_ndf15; + break; + } - } + /** - define the fields of the 'thermodynamics parameter and workspace' structure */ + tpaw.pba = pba; + tpaw.ppr = ppr; + tpaw.pth = pth; + tpaw.pvecback = pvecback; + tpaw.ptw = ptw; - else { - *xe = preio->reionization_parameters[preio->index_reio_first_xe]; - } + /** - define time sampling: create a local array of minus z values + called mz (from mz=-zinitial growing towards mz=0) */ - return _SUCCESS_; + class_alloc(mz_output,pth->tt_size*sizeof(double), pth->error_message); + for (i=0; i < pth->tt_size; ++i) { + mz_output[i] = -pth->z_table[pth->tt_size-1-i]; + } + /** - define intervals for each approximation scheme */ + + /* create the array of interval limits */ + class_alloc(interval_limit,(ptw->ptdw->ap_size+1)*sizeof(double),pth->error_message); + /* fix interval number to number of approximations */ + interval_number = ptw->ptdw->ap_size; + /* integration starts at z_ini and ends at z_end */ + interval_limit[0]= mz_output[0]; + interval_limit[ptw->ptdw->ap_size] = mz_output[ptw->Nz_tot-1]; + /* each interval ends with the proper ending redshift of its approximation */ + for (index_ap=0; index_ap < ptw->ptdw->ap_size-1; index_ap++) { + interval_limit[index_ap+1] = -ptw->ptdw->ap_z_limits[index_ap]; } - /** - implementation of reio_inter */ + /** - loop over intervals over which approximation scheme is + uniform. For each interval: */ - if (pth->reio_parametrization == reio_inter) { + for (index_interval=0; index_interval case z > z_reio_start */ + /** - --> (a) fix current approximation scheme. */ - if (z > preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]) { - *xe = preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1]; - class_stop(pth->error_message,"Check: is it normal that we are here?"); - } + ptw->ptdw->ap_current = index_interval; - else { + /** - --> (b) define the vector of quantities to be integrated + over. If the current interval starts from the + initial time zinitial, fill the vector with initial + conditions. If it starts from an approximation + switching point, redistribute correctly the values + from the previous to the new vector. For both + RECFAST and HYREC, the vector consists of Tmat, x_H, + x_He, + others for exotic models */ - i=0; - while (preio->reionization_parameters[preio->index_reio_first_z+i+1] < z) i++; + class_call(thermodynamics_vector_init(ppr, + pba, + pth, + interval_limit[index_interval], + ptw), + pth->error_message, + pth->error_message); - double z_min = preio->reionization_parameters[preio->index_reio_first_z+i]; - double z_max = preio->reionization_parameters[preio->index_reio_first_z+i+1]; + /* find the value of last_index_back at z = - interval_limit[index_interval], in order to speed up + subsequent interpolations in thermodynamics_derivs */ + class_call(background_at_z(pba, + -interval_limit[index_interval], + normal_info, + inter_normal, + &(ptw->last_index_back), + pvecback), + pba->error_message, + pth->error_message); - class_test(z (c1) If we have the optical depth tau_reio as input the + last evolver step (reionization approximation) is done + separately in a loop, to find the approximate redshift of + reionization given the input of tau_reio, using a bisection + method. This is similar to the general CLASS shooting method, + but doing this step here is more advantageous since we only + need to do repeatedly the last approximation step of the + integration, instead of the full background and thermodynamics + module */ + if ((pth->reio_z_or_tau == reio_tau) && (index_interval == ptw->ptdw->index_ap_reio)) { + + class_call(thermodynamics_reionization_evolve_with_tau(&tpaw, + interval_limit[index_interval], + interval_limit[index_interval+1], + mz_output, + pth->tt_size), pth->error_message, - ""); + pth->error_message); + } - class_test(z>z_max, + /** --> (c2) otherwise, just integrate quantities over the current interval. */ + else{ + + class_call(generic_evolver(thermodynamics_derivs, + interval_limit[index_interval], + interval_limit[index_interval+1], + ptw->ptdw->ptv->y, + ptw->ptdw->ptv->used_in_output, + ptw->ptdw->ptv->ti_size, + &tpaw, + ppr->tol_thermo_integration, + ppr->smallest_allowed_variation, + thermodynamics_timescale, // timescale + ppr->thermo_integration_stepsize, // stepsize = this number * timescale + mz_output, // values of z for output + pth->tt_size, // size of previous array + thermodynamics_sources, // function for output + NULL, // print variables + pth->error_message), pth->error_message, - ""); - - double x=(z-preio->reionization_parameters[preio->index_reio_first_z+i]) - /(preio->reionization_parameters[preio->index_reio_first_z+i+1] - -preio->reionization_parameters[preio->index_reio_first_z+i]); + pth->error_message); + } - *xe = preio->reionization_parameters[preio->index_reio_first_xe+i] - + x*(preio->reionization_parameters[preio->index_reio_first_xe+i+1] - -preio->reionization_parameters[preio->index_reio_first_xe+i]); + } - class_test(*xe<0., - pth->error_message, - "%e %e %e\n", - x, - preio->reionization_parameters[preio->index_reio_first_xe+i], - preio->reionization_parameters[preio->index_reio_first_xe+i+1]); + /** - Compute reionization optical depth, if not supplied as input parameter */ + if (pth->reio_z_or_tau == reio_z) { - } + class_call(thermodynamics_reionization_get_tau(ppr, + pba, + pth, + ptw), + pth->error_message, + pth->error_message); - return _SUCCESS_; + pth->tau_reio=ptw->reionization_optical_depth; } - class_test(0 == 0, - pth->error_message, - "value of reio_parametrization=%d unclear",pth->reio_parametrization); -} - -/** - * This subroutine reads \f$ X_e(z) \f$ in the recombination table at - * the time at which reionization starts. Hence it provides correct - * initial conditions for the reionization function. - * - * @param ppr Input: pointer to precision structure - * @param pth Input: pointer to thermo structure - * @param preco Input: pointer to recombination structure - * @param z Input: redshift z_reio_start - * @param xe Output: \f$ X_e(z) \f$ at z - */ + /** - free quantities allocated at the beginning of the routine */ + if (ptw->ptdw->ap_size != 0) { + class_call(thermodynamics_vector_free(ptw->ptdw->ptv), + pth->error_message, + pth->error_message); + } -int thermodynamics_get_xe_before_reionization( - struct precision * ppr, - struct thermo * pth, - struct recombination * preco, - double z, - double * xe - ) { - - int last_index=0; - - class_call(array_interpolate_one_growing_closeby(preco->recombination_table, - preco->re_size, - preco->rt_size, - preco->index_re_z, - z, - &last_index, - preco->index_re_xe, - xe, - pth->error_message), - pth->error_message, - pth->error_message); + free(interval_limit); + free(mz_output); return _SUCCESS_; } - /** - * This routine computes the reionization history. In the reio_camb - * scheme, this is straightforward if the input parameter is the - * reionization redshift. If the input is the optical depth, need to - * find z_reio by dichotomy (trying several z_reio until the correct - * tau_reio is approached). - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermo structure - * @param preco Input: pointer to filled recombination structure - * @param preio Input/Output: pointer to reionization structure (to be filled) - * @param pvecback Input: vector of background quantities (used as workspace: must be already allocated, with format short_info or larger, but does not need to be filled) + * Calculate those thermodynamics quantities which are not inside of + * the thermodynamics table already. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @param pvecback Input: pointer to some allocated pvecback * @return the error status */ -int thermodynamics_reionization( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio, - double * pvecback - ) { +int thermodynamics_calculate_remaining_quantities( + struct precision * ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback + ) { /** Summary: */ - /** - define local variables */ - - int counter; - double z_sup,z_mid,z_inf; - double tau_sup,tau_mid,tau_inf; - int bin; - int point; - double xe_input,xe_actual; - - /** - allocate the vector of parameters defining the function \f$ X_e(z) \f$ */ - - class_alloc(preio->reionization_parameters,preio->reio_num_params*sizeof(double),pth->error_message); + /* The temporary quantities stored in columns ddkappa and dddkappa will not be used anymore, so they can and WILL be overwritten by other + intermediate steps of other computations */ - /** - (a) if reionization implemented like in CAMB */ - - if ((pth->reio_parametrization == reio_camb) || (pth->reio_parametrization == reio_half_tanh)) { - - /** - --> set values of these parameters, excepted those depending on the reionization redshift */ - - if (pth->reio_parametrization == reio_camb) { - preio->reionization_parameters[preio->index_reio_xe_after] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); /* xe_after_reio: H + singly ionized He (note: segmentation fault impossible, checked before that denominator is non-zero) */ - } - if (pth->reio_parametrization == reio_half_tanh) { - preio->reionization_parameters[preio->index_reio_xe_after] = 1.; /* xe_after_reio: neglect He ionization */ - //+ 2*pth->YHe/(_not4_*(1.-pth->YHe)); /* xe_after_reio: H + fully ionized He */ - } - preio->reionization_parameters[preio->index_reio_exponent] = pth->reionization_exponent; /* reio_exponent */ - preio->reionization_parameters[preio->index_reio_width] = pth->reionization_width; /* reio_width */ - preio->reionization_parameters[preio->index_helium_fullreio_fraction] = pth->YHe/(_not4_*(1.-pth->YHe)); /* helium_fullreio_fraction (note: segmentation fault impossible, checked before that denominator is non-zero) */ - preio->reionization_parameters[preio->index_helium_fullreio_redshift] = pth->helium_fullreio_redshift; /* helium_fullreio_redshift */ - preio->reionization_parameters[preio->index_helium_fullreio_width] = pth->helium_fullreio_width; /* helium_fullreio_width */ + class_call(thermodynamics_calculate_conformal_drag_time(pba,pth,pvecback), + pth->error_message, + pth->error_message); - class_test(preio->reionization_parameters[preio->index_reio_exponent]==0, + if (pth->compute_damping_scale == _TRUE_) { + class_call(thermodynamics_calculate_damping_scale(pba,pth,pvecback), pth->error_message, - "stop to avoid division by zero"); + pth->error_message); + } - class_test(preio->reionization_parameters[preio->index_reio_width]==0, - pth->error_message, - "stop to avoid division by zero"); + class_call(thermodynamics_calculate_opticals(ppr,pth), + pth->error_message, + pth->error_message); - class_test(preio->reionization_parameters[preio->index_helium_fullreio_width]==0, + /* Please note, this function has to be before the spline_table_lines to generate the correct d2thdz2_table */ + if (pba->has_idr == _TRUE_ || pth->has_idm_b == _TRUE_) { + class_call(thermodynamics_calculate_idm_and_idr_quantities(ppr,pba,pth,pvecback), pth->error_message, - "stop to avoid division by zero"); - - /** - --> if reionization redshift given as an input, initialize the remaining values and fill reionization table*/ - - if (pth->reio_z_or_tau == reio_z) { - - /* reionization redshift */ - preio->reionization_parameters[preio->index_reio_redshift] = pth->z_reio; - - /* infer starting redshift for hydrogen */ - - if (pth->reio_parametrization == reio_camb) { + pth->error_message); + } - preio->reionization_parameters[preio->index_reio_start] = preio->reionization_parameters[preio->index_reio_redshift]+ppr->reionization_start_factor*pth->reionization_width; + /** - fill tables of second derivatives with respect to z (in view of spline interpolation) */ + class_call(array_spline_table_lines(pth->z_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->d2thermodynamics_dz2_table, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - /* if starting redshift for helium is larger, take that one - (does not happen in realistic models) */ - if (preio->reionization_parameters[preio->index_reio_start] < - pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width) + class_call(thermodynamics_calculate_recombination_quantities(ppr,pba,pth,pvecback), + pth->error_message, + pth->error_message); - preio->reionization_parameters[preio->index_reio_start] = - pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width; + class_call(thermodynamics_calculate_drag_quantities(ppr,pba,pth,pvecback), + pth->error_message, + pth->error_message); - } - else { - preio->reionization_parameters[preio->index_reio_start] = pth->z_reio; - } + return _SUCCESS_; +} - class_test(preio->reionization_parameters[preio->index_reio_start] > ppr->reionization_z_start_max, - pth->error_message, - "starting redshift for reionization > reionization_z_start_max = %e\n",ppr->reionization_z_start_max); +/** + * In verbose mode, print basic information on the thermal history + * + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @return the error status + */ - /* infer xe_before_reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_start], - &(preio->reionization_parameters[preio->index_reio_xe_before])), - pth->error_message, - pth->error_message); +int thermodynamics_output_summary( + struct background* pba, + struct thermodynamics* pth + ) { - /* fill reionization table */ - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), - pth->error_message, - pth->error_message); + /** Summary: */ - pth->tau_reio=preio->reionization_optical_depth; + /** Define local variables */ + double tau_reio; + printf(" -> recombination (maximum of visibility function) at z = %f\n",pth->z_rec); + printf(" corresponding to conformal time = %f Mpc\n",pth->tau_rec); + printf(" with comoving sound horizon = %f Mpc\n",pth->rs_rec); + printf(" angular diameter distance = %f Mpc\n",pth->da_rec); + printf(" sound horizon angle 100*theta_s = %f\n",100.*pth->rs_rec/pth->ra_rec); + if (pth->compute_damping_scale == _TRUE_) { + printf(" comoving photon damping scale = %f Mpc\n",pth->rd_rec); + printf(" comoving damping wavenumber k_d = %f 1/Mpc\n",2.*_PI_/pth->rd_rec); + } + printf(" Thomson optical depth crosses one at z_* = %f\n",pth->z_star); + printf(" giving an angle 100*theta_* = %f\n",100.*pth->rs_star/pth->ra_star); + printf(" -> baryon drag stops at z = %f\n",pth->z_d); + printf(" corresponding to conformal time = %f Mpc\n",pth->tau_d); + printf(" with comoving sound horizon rs = %f Mpc\n",pth->rs_d); + + switch (pth->reio_parametrization) { + + case reio_none: + /* the information returned by this line could be interesting when + using reio_none + exotic energy ionjection, since there could + still be a global minimum of x_e(z) */ + printf(" -> no reionization requested, optical depth = %f\n",pth->tau_reio); + break; + + case reio_camb: + case reio_half_tanh: + switch (pth->reio_z_or_tau) { + case reio_tau: + printf(" -> reionization at z = %f\n",pth->z_reio); + break; + case reio_z: + printf(" -> reionization with optical depth = %f\n",pth->tau_reio); + break; } + class_call(background_tau_of_z(pba,pth->z_reio,&tau_reio), + pba->error_message, + pth->error_message); + printf(" corresponding to conformal time = %f Mpc\n",tau_reio); + break; - /** - --> if reionization optical depth given as an input, find reionization redshift by dichotomy and initialize the remaining values */ - - if (pth->reio_z_or_tau == reio_tau) { - - /* upper value */ + case reio_bins_tanh: + printf(" -> binned reionization gives optical depth = %f\n",pth->tau_reio); + break; - z_sup = ppr->reionization_z_start_max-ppr->reionization_start_factor*pth->reionization_width; - class_test(z_sup < 0., - pth->error_message, - "parameters are such that reionization cannot take place before today while starting after z_start_max; need to increase z_start_max"); + case reio_many_tanh: + printf(" -> many-step reionization gives optical depth = %f\n",pth->tau_reio); + break; - /* maximum possible reionization redshift */ - preio->reionization_parameters[preio->index_reio_redshift] = z_sup; - /* maximum possible starting redshift */ - preio->reionization_parameters[preio->index_reio_start] = ppr->reionization_z_start_max; - /* infer xe_before_reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_start], - &(preio->reionization_parameters[preio->index_reio_xe_before])), - pth->error_message, - pth->error_message); + case reio_inter: + printf(" -> interpolated reionization history gives optical depth = %f\n",pth->tau_reio); + break; - /* fill reionization table */ - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), - pth->error_message, - pth->error_message); + default: + class_stop(pth->error_message, + "value of reio_parametrization=%d unclear",pth->reio_parametrization); + break; + } - tau_sup=preio->reionization_optical_depth; + if (pth->thermodynamics_verbose > 1) + printf(" -> free-streaming approximation can be turned on as soon as tau=%g Mpc\n",pth->tau_free_streaming); + if ((pba->has_idr == _TRUE_)&&(pth->thermodynamics_verbose > 1)) + printf(" -> dark free-streaming approximation can be turned on as soon as tau=%g Mpc\n",pth->tau_idr_free_streaming); - class_test(tau_sup < pth->tau_reio, - pth->error_message, - "parameters are such that reionization cannot start after z_start_max"); + return _SUCCESS_; +} - /* lower value */ +/** + * Free the thermo_workspace structure (with the exception of the thermo_vector '->ptv' field, which is freed separately in + * thermo_vector_free). + * + * @param pth Input: pointer to initialized thermodynamics structure + * @param ptw Input: pointer to perturbations_workspace structure to be freed + * @return the error status + */ +int thermodynamics_workspace_free( + struct thermodynamics* pth, + struct thermo_workspace * ptw + ) { - z_inf = 0.; - tau_inf = 0.; + free(ptw->ptdw->ap_z_limits); + free(ptw->ptdw->ap_z_limits_delta); - /* try intermediate values */ + switch (pth->recombination) { - counter=0; - while ((tau_sup-tau_inf) > pth->tau_reio * ppr->reionization_optical_depth_tol) { - z_mid=0.5*(z_sup+z_inf); + case hyrec: + class_call(thermodynamics_hyrec_free(ptw->ptdw->phyrec), + ptw->ptdw->phyrec->error_message, + pth->error_message); + free(ptw->ptdw->phyrec); + break; - /* reionization redshift */ - preio->reionization_parameters[preio->index_reio_redshift] = z_mid; - /* infer starting redshift for hygrogen */ - preio->reionization_parameters[preio->index_reio_start] = preio->reionization_parameters[preio->index_reio_redshift]+ppr->reionization_start_factor*pth->reionization_width; - /* if starting redshift for helium is larger, take that one - (does not happen in realistic models) */ - if (preio->reionization_parameters[preio->index_reio_start] < - pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width) + case recfast: + free(ptw->ptdw->precfast); + break; + } - preio->reionization_parameters[preio->index_reio_start] = - pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width; + free(ptw->ptrp->reionization_parameters); + free(ptw->ptdw); + free(ptw->ptrp); - class_test(preio->reionization_parameters[preio->index_reio_start] > ppr->reionization_z_start_max, - pth->error_message, - "starting redshift for reionization > reionization_z_start_max = %e",ppr->reionization_z_start_max); - - /* infer xe_before_reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_start], - &(preio->reionization_parameters[preio->index_reio_xe_before])), - pth->error_message, - pth->error_message); + free(ptw); - /* clean and fill reionization table */ - free(preio->reionization_table); - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), - pth->error_message, - pth->error_message); + return _SUCCESS_; +} - tau_mid=preio->reionization_optical_depth; +/** + * Initialize the field '->ptv' of a thermo_diffeq_workspace structure, which is a thermo_vector structure. This structure contains indices + * and values of all quantities which need to be integrated with respect to time (and only them: quantities fixed analytically or obeying + * constraint equations are NOT included in this vector). + * + * The routine sets and allocates the vector y, dy and used_in_output with the right size depending on the current approximation scheme + * stored in the workspace. Moreover the initial conditions for each approximation scheme are calculated and set correctly. + * + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param mz Input: negative redshift + * @param ptw Input/Output: pointer to thermodynamics workspace + * + * @return the error status + */ - /* trial */ +int thermodynamics_vector_init( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + double mz, + struct thermo_workspace * ptw + ) { - if (tau_mid > pth->tau_reio) { - z_sup=z_mid; - tau_sup=tau_mid; - } - else { - z_inf=z_mid; - tau_inf=tau_mid; - } + /** Summary: */ - counter++; - class_test(counter > _MAX_IT_, - pth->error_message, - "while searching for reionization_optical_depth, maximum number of iterations exceeded"); - } + /** Define local variables */ + int index_ti; + /* ptdw->ptv unallocated if ap_current == index_ap_brec, allocated and filled otherwise */ + struct thermo_vector * ptv; + struct thermo_diffeq_workspace * ptdw = ptw->ptdw; + double z; - /* store z_reionization in thermodynamics structure */ - pth->z_reio=preio->reionization_parameters[preio->index_reio_redshift]; + class_alloc(ptv,sizeof(struct thermo_vector),pth->error_message); - } + /* mz = Minus z is inverted*/ + z = -mz; - free(preio->reionization_parameters); + /* Start from no component */ + index_ti = 0; - return _SUCCESS_; + /* Add common indices (Have to be added before) */ + class_define_index(ptv->index_ti_D_Tmat,_TRUE_,index_ti,1); + /* Add all components that should be evolved */ + if (ptdw->ap_current == ptdw->index_ap_brec) { + /* Nothing else to add */ + } + else if (ptdw->ap_current == ptdw->index_ap_He1) { + /* Nothing else to add */ + } + else if (ptdw->ap_current == ptdw->index_ap_He1f) { + /* Nothing else to add */ + } + else if (ptdw->ap_current == ptdw->index_ap_He2) { + /* Nothing else to add */ + } + else if (ptdw->ap_current == ptdw->index_ap_H) { + class_define_index(ptv->index_ti_x_He,_TRUE_,index_ti,1); + } + else if (ptdw->ap_current == ptdw->index_ap_frec) { + class_define_index(ptv->index_ti_x_He,_TRUE_,index_ti,1); + class_define_index(ptv->index_ti_x_H,_TRUE_,index_ti,1); + } + else if (ptdw->ap_current == ptdw->index_ap_reio) { + class_define_index(ptv->index_ti_x_He,_TRUE_,index_ti,1); + class_define_index(ptv->index_ti_x_H,_TRUE_,index_ti,1); } - /** - (b) if reionization implemented with reio_bins_tanh scheme */ - - if (pth->reio_parametrization == reio_bins_tanh) { - - /* this algorithm requires at least two bin centers (i.e. at least - 4 values in the (z,xe) array, counting the edges). */ - class_test(pth->binned_reio_num<2, - pth->error_message, - "current implementation of binned reio requires at least two bin centers"); - - /* check that this input can be interpreted by the code */ - for (bin=1; binbinned_reio_num; bin++) { - class_test(pth->binned_reio_z[bin-1]>=pth->binned_reio_z[bin], - pth->error_message, - "value of reionization bin centers z_i expected to be passed in growing order: %e, %e", - pth->binned_reio_z[bin-1], - pth->binned_reio_z[bin]); - } + /* Only in the case where we in idm case but not idm TCA define T_idm */ + if (pba->has_idm == _TRUE_){ + class_define_index(ptv->index_ti_T_idm,(ptw->has_ap_idmtca == _FALSE_ || ptdw->ap_current != ptdw->index_ap_idmtca),index_ti,1); + } - /* the code will not only copy here the "bin centers" passed in - input. It will add an initial and final value for (z,xe). - First, fill all entries except the first and the last */ + /* We have now obtained the full size */ + ptv->ti_size = index_ti; - for (bin=1; binreio_num_z-1; bin++) { - preio->reionization_parameters[preio->index_reio_first_z+bin] = pth->binned_reio_z[bin-1]; - preio->reionization_parameters[preio->index_reio_first_xe+bin] = pth->binned_reio_xe[bin-1]; - } + /* Allocate all arrays used during the evolution */ + class_calloc(ptv->y,ptv->ti_size,sizeof(double),pth->error_message); + class_alloc(ptv->dy,ptv->ti_size*sizeof(double),pth->error_message); + class_alloc(ptv->used_in_output,ptv->ti_size*sizeof(int),pth->error_message); + for (index_ti=0; index_titi_size; index_ti++) { + ptv->used_in_output[index_ti] = _TRUE_; + } - /* find largest value of z in the array. We choose to define it as - z_(i_max) + 2*(the distance between z_(i_max) and z_(i_max-1)). E.g. if - the bins are in 10,12,14, the largest z will be 18. */ - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1] = - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-2] - +2.*(preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-2] - -preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-3]); + if (ptw->has_ap_idmtca == _TRUE_ && ptdw->ap_current == ptdw->index_ap_idmtca) { + /* Store Tmat in workspace for later use */ + ptdw->Tmat = ptw->Tcmb*(1.+z); - /* copy this value in reio_start */ - preio->reionization_parameters[preio->index_reio_start] = preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]; + /* Set the new vector and its indices */ + ptdw->ptv = ptv; - /* check it's not too big */ - class_test(preio->reionization_parameters[preio->index_reio_start] > ppr->reionization_z_start_max, + ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat] = 0.; + + /* set other initial conditions */ + ptdw->require_H = _FALSE_; + ptdw->require_He = _FALSE_; + } + else if (ptw->has_ap_idmtca == _TRUE_ && ptdw->ap_current == ptdw->index_ap_brec) { + /* Copy old values */ + ptv->y[ptv->index_ti_D_Tmat] = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat]; + ptv->dy[ptv->index_ti_D_Tmat] = ptdw->ptv->dy[ptdw->ptv->index_ti_D_Tmat]; + + /* Set initial conditions */ + ptv->y[ptv->index_ti_T_idm] = pba->T_cmb * (1.+z); + /* If we instead have idr tight coupling, we choose instead */ + if ((pth->has_idm_dr == _TRUE_) && pth->n_index_idm_dr > 0) + ptv->y[ptv->index_ti_T_idm] = pba->T_idr * (1.+z); + + /* Free the old vector and its indices */ + class_call(thermodynamics_vector_free(ptdw->ptv), pth->error_message, - "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", - preio->reionization_parameters[preio->index_reio_start], - ppr->reionization_z_start_max); + pth->error_message); - /* find smallest value of z in the array. We choose - to define it as z_0 - (the distance between z_1 and z_0). E.g. if - the bins are in 10,12,14, the stop redshift will be 8. */ + /* Copy the new vector into the position of the old one */ + ptdw->ptv = ptv; + ptdw->require_H = _FALSE_; + ptdw->require_He = _FALSE_; + } + else if (ptdw->ap_current == ptdw->index_ap_brec) { - preio->reionization_parameters[preio->index_reio_first_z] = - 2.*preio->reionization_parameters[preio->index_reio_first_z+1] - -preio->reionization_parameters[preio->index_reio_first_z+2]; + /* Store Tmat in workspace for later use */ + ptdw->Tmat = ptw->Tcmb*(1.+z); - /* check it's not too small */ - /* 6.06.2015: changed this test to simply imposing that the first z is at least zero */ - /* - class_test(preio->reionization_parameters[preio->index_reio_first_z] < 0, - pth->error_message, - "final redshift for reionization = %e, you must change the binning or redefine the way in which the code extrapolates below the first value of z_i",preio->reionization_parameters[preio->index_reio_first_z]); - */ - if (preio->reionization_parameters[preio->index_reio_first_z] < 0) { - preio->reionization_parameters[preio->index_reio_first_z] = 0.; + /* Set the new vector and its indices */ + ptdw->ptv = ptv; + + ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat] = 0.; + + ptdw->require_H = _FALSE_; + ptdw->require_He = _FALSE_; + + /* Set idm initial temperature if not coupled */ + if (pba->has_idm == _TRUE_) { + class_call(thermodynamics_idm_initial_temperature(pba, + pth, + z, + ptdw), + pth->error_message, + pth->error_message); + ptv->y[ptv->index_ti_T_idm] = ptdw->T_idm; } + } + /* - in this scheme we start to evolve Helium and thus need to set its initial condition via the analytic function */ + else if (ptdw->ap_current == ptdw->index_ap_H) { + /* Store Tmat in workspace for later use */ + ptdw->Tmat = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat] + ptw->Tcmb*(1.+z); - /* infer xe before reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1], - &(preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1])), + /* Obtain initial contents of new vector analytically, especially x_He */ + class_call(thermodynamics_ionization_fractions(z,ptdw->ptv->y,pba,pth,ptw,ptdw->ap_current-1), pth->error_message, pth->error_message); - /* infer xe after reio */ - preio->reionization_parameters[preio->index_reio_first_xe] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); /* xe_after_reio: H + singly ionized He (note: segmentation fault impossible, checked before that denominator is non-zero) */ + /* Set the new vector and its indices */ + ptv->y[ptv->index_ti_D_Tmat] = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_He] = ptdw->x_He; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptdw->ptv->y[ptdw->ptv->index_ti_T_idm]; - /* pass step sharpness parameter */ - preio->reionization_parameters[preio->index_reio_step_sharpness] = pth->binned_reio_step_sharpness; + /* Free the old vector and its indices */ + class_call(thermodynamics_vector_free(ptdw->ptv), + pth->error_message, + pth->error_message); - /* fill reionization table */ - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), + /* Copy the new vector into the position of the old one*/ + ptdw->ptv = ptv; + + ptdw->require_H = _FALSE_; + ptdw->require_He = _TRUE_; + } + /* - in the scheme of full recombination (=frec) we evolve all quantities and thus need to set their initial conditions. + Tmat and x_He are solely taken from the previous scheme, x_H is set via the analytic function */ + else if (ptdw->ap_current == ptdw->index_ap_frec) { + /* Store Tmat in workspace for later use */ + ptdw->Tmat = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat] + ptw->Tcmb*(1.+z); + + /* Obtain initial contents of new vector analytically, especially x_H */ + class_call(thermodynamics_ionization_fractions(z,ptdw->ptv->y,pba,pth,ptw,ptdw->ap_current-1), pth->error_message, pth->error_message); - pth->tau_reio=preio->reionization_optical_depth; + /* Set the new vector and its indices */ + ptv->y[ptv->index_ti_D_Tmat] = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptdw->x_H; + ptv->y[ptv->index_ti_x_He] = ptdw->ptv->y[ptdw->ptv->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptdw->ptv->y[ptdw->ptv->index_ti_T_idm]; - return _SUCCESS_; + /* Free the old vector and its indices */ + class_call(thermodynamics_vector_free(ptdw->ptv), + pth->error_message, + pth->error_message); + + /* Copy the new vector into the position of the old one*/ + ptdw->ptv = ptv; + + ptdw->require_H = _TRUE_; + ptdw->require_He = _TRUE_; } + /* - during reionization we continue to evolve all quantities. Now all three intial conditions are just taken from the previous scheme */ + else if (ptdw->ap_current == ptdw->index_ap_reio) { + + /* Set the new vector and its indices */ + ptv->y[ptv->index_ti_D_Tmat] = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptdw->ptv->y[ptdw->ptv->index_ti_x_H]; + ptv->y[ptv->index_ti_x_He] = ptdw->ptv->y[ptdw->ptv->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptdw->ptv->y[ptdw->ptv->index_ti_T_idm]; + + /* Free the old vector and its indices */ + class_call(thermodynamics_vector_free(ptdw->ptv), + pth->error_message, + pth->error_message); - /** - (c) if reionization implemented with reio_many_tanh scheme */ + /* Copy the new vector into the position of the old one*/ - if (pth->reio_parametrization == reio_many_tanh) { + ptdw->ptv = ptv; - /* this algorithm requires at least one jump centers */ - class_test(pth->many_tanh_num<1, + ptdw->require_H = _TRUE_; + ptdw->require_He = _TRUE_; + } + /* - in all other approximations we only evolve Tmat and set its initial conditions from the previous scheme */ + else{ + /* Store Tmat in workspace for later use */ + ptdw->Tmat = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat] + ptw->Tcmb*(1.+z); + + /* Set the new vector and its indices */ + ptv->y[ptv->index_ti_D_Tmat] = ptdw->ptv->y[ptdw->ptv->index_ti_D_Tmat]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptdw->ptv->y[ptdw->ptv->index_ti_T_idm]; + + /* Free the old vector and its indices */ + class_call(thermodynamics_vector_free(ptdw->ptv), pth->error_message, - "current implementation of reio_many_tanh requires at least one jump center"); + pth->error_message); - /* check that z input can be interpreted by the code */ - for (bin=1; binmany_tanh_num; bin++) { - class_test(pth->many_tanh_z[bin-1]>=pth->many_tanh_z[bin], - pth->error_message, - "value of reionization bin centers z_i expected to be passed in growing order: %e, %e", - pth->many_tanh_z[bin-1], - pth->many_tanh_z[bin]); - } + /* Copy the new vector into the position of the old one*/ + ptdw->ptv = ptv; - /* the code will not only copy here the "jump centers" passed in - input. It will add an initial and final value for (z,xe). - First, fill all entries except the first and the last */ + ptdw->require_H = _FALSE_; + ptdw->require_He = _FALSE_; + } - for (bin=1; binreio_num_z-1; bin++) { + return _SUCCESS_; +} - preio->reionization_parameters[preio->index_reio_first_z+bin] = pth->many_tanh_z[bin-1]; +/** + * If the input for reionization is tau_reio, thermodynamics_solve() + * calls this function instead of the evolver for dealing with the + * last era (the reionization era). + * + * Instead of computing the evolution of quantities during + * reionization for a fixed z_reio, as the evolver would do, this + * function finds z_reio by bisection. First we make an initial guess + * for z_reio with reionization_z_start_max and then find a z_reio + * which leads to the given tau_reio (in the range of tolerance + * reionization_optical_depth_tol). + * + * @param ptpaw Input: pointer to parameters and workspace + * @param mz_ini Input: initial redshift + * @param mz_end Input: ending redshift + * @param mz_output Input: pointer to redshift array at which output should be written + * @param mz_size Input: number of redshift values in this array + * @return the error status + */ - /* check that xe input can be interpreted by the code */ - xe_input = pth->many_tanh_xe[bin-1]; - if (xe_input >= 0.) { - xe_actual = xe_input; - } - //-1 means "after hydrogen + first helium recombination" - else if ((xe_input<-0.9) && (xe_input>-1.1)) { - xe_actual = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); - } - //-2 means "after hydrogen + second helium recombination" - else if ((xe_input<-1.9) && (xe_input>-2.1)) { - xe_actual = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); - } - //other negative number is nonsense - else { - class_stop(pth->error_message, - "Your entry for many_tanh_xe[%d] is %e, this makes no sense (either positive or 0,-1,-2)", - bin-1,pth->many_tanh_xe[bin-1]); - } +int thermodynamics_reionization_evolve_with_tau( + struct thermodynamics_parameters_and_workspace * ptpaw, + double mz_ini, + double mz_end, + double * mz_output, + int mz_size + ) { - preio->reionization_parameters[preio->index_reio_first_xe+bin] = xe_actual; - } + /** Summary: */ - /* find largest value of z in the array. We choose to define it as - z_(i_max) + ppr->reionization_start_factor*step_sharpness. */ - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1] = - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-2] - +ppr->reionization_start_factor*pth->many_tanh_width; + /** Define local variables */ + int counter; + double z_sup,z_mid,z_inf; + double tau_sup,tau_mid,tau_inf; - /* copy this value in reio_start */ - preio->reionization_parameters[preio->index_reio_start] = preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]; + int index_ti; + int last_index_back_mz_ini; - /* check it's not too big */ - class_test(preio->reionization_parameters[preio->index_reio_start] > ppr->reionization_z_start_max, - pth->error_message, - "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", - preio->reionization_parameters[preio->index_reio_start], - ppr->reionization_z_start_max); + struct precision * ppr; + struct background * pba; + struct thermodynamics * pth; + struct thermo_workspace * ptw; - /* find smallest value of z in the array. We choose - to define it as z_0 - ppr->reionization_start_factor*step_sharpness, but at least zero. */ + /* function pointer to ODE evolver and names of possible evolvers */ + extern int evolver_rk(EVOLVER_PROTOTYPE); + extern int evolver_ndf15(EVOLVER_PROTOTYPE); + int (*generic_evolver)(EVOLVER_PROTOTYPE) = evolver_ndf15; - preio->reionization_parameters[preio->index_reio_first_z] = - preio->reionization_parameters[preio->index_reio_first_z+1] - -ppr->reionization_start_factor*pth->many_tanh_width; + /* pointers towards two thermo vector stuctures (see below) */ - if (preio->reionization_parameters[preio->index_reio_first_z] < 0) { - preio->reionization_parameters[preio->index_reio_first_z] = 0.; - } + struct thermo_vector * ptvs; // Vector for storing the initial conditions + struct thermo_vector * ptv; // Temporary vector as workspace - /* infer xe before reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1], - &(preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1])), - pth->error_message, - pth->error_message); + /** - Remame fields to avoid heavy notations */ - /* infer xe after reio */ + ppr = ptpaw->ppr; + pba = ptpaw->pba; + pth = ptpaw->pth; + ptw = ptpaw->ptw; + + /** - Choose evolver */ + + switch (ppr->thermo_evolver) { + case rk: + generic_evolver = evolver_rk; + break; + case ndf15: + generic_evolver = evolver_ndf15; + break; + } - preio->reionization_parameters[preio->index_reio_first_xe] = preio->reionization_parameters[preio->index_reio_first_xe+1]; + /** - ptvs will be a pointer towards the same thermo vector that was + used in the previous approximation schemes; it contains values + that will serve here to set initial conditions. */ - /* if we want to model only hydrogen reionization and neglect both helium reionization */ - //preio->reionization_parameters[preio->index_reio_first_xe] = 1.; + ptvs = ptw->ptdw->ptv; - /* if we want to model only hydrogen + first helium reionization and neglect second helium reionization */ - //preio->reionization_parameters[preio->index_reio_first_xe] = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); + /** - ptv is a pointer towards a whole new thermo vector used for + the calculations in the bisection, that we must allocate and + initialize */ - /* if we want to model hydrogen + two helium reionization */ - //preio->reionization_parameters[preio->index_reio_first_xe] = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); + class_alloc(ptv,sizeof(struct thermo_vector),pth->error_message); - /* pass step sharpness parameter */ - class_test(pth->many_tanh_width<=0, - pth->error_message, - "many_tanh_width must be strictly positive, you passed %e", - pth->many_tanh_width); + /* allocate vector indices dynamically */ + index_ti = 0; + class_define_index(ptv->index_ti_D_Tmat,_TRUE_,index_ti,1); + class_define_index(ptv->index_ti_x_He,_TRUE_,index_ti,1); + class_define_index(ptv->index_ti_x_H,_TRUE_,index_ti,1); + class_define_index(ptv->index_ti_T_idm,pba->has_idm,index_ti,1); + ptv->ti_size = index_ti; - preio->reionization_parameters[preio->index_reio_step_sharpness] = pth->many_tanh_width; + /* Allocate all arrays used during the evolution */ + class_calloc(ptv->y,ptv->ti_size,sizeof(double),pth->error_message); + class_alloc(ptv->dy,ptv->ti_size*sizeof(double),pth->error_message); + class_alloc(ptv->used_in_output,ptv->ti_size*sizeof(int),pth->error_message); - /* fill reionization table */ - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), - pth->error_message, - pth->error_message); + for (index_ti=0; index_titi_size; index_ti++) { + ptv->used_in_output[index_ti] = _TRUE_; + } - pth->tau_reio=preio->reionization_optical_depth; + /** - Initialize the values of the temporary vector */ + ptv->y[ptv->index_ti_D_Tmat] = ptvs->y[ptvs->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptvs->y[ptvs->index_ti_x_H]; + ptv->y[ptv->index_ti_x_He] = ptvs->y[ptvs->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptvs->y[ptvs->index_ti_T_idm]; - return _SUCCESS_; + ptw->ptdw->ptv = ptv; - } + /** - Evolve quantities through reionization assuming upper value of z_reio */ - /** - (d) if reionization implemented with reio_inter scheme */ + z_sup = ppr->reionization_z_start_max-ppr->reionization_start_factor*pth->reionization_width; + class_test(z_sup < 0., + pth->error_message, + "parameters are such that reionization cannot take place before today while starting after z_start_max; need to increase z_start_max"); + + /* maximum possible reionization redshift */ + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_redshift] = z_sup; + /* maximum possible starting redshift */ + switch (pth->reio_parametrization) { + case reio_camb: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = ppr->reionization_z_start_max; + break; + case reio_half_tanh: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = z_sup; + break; + default: + class_stop(pth->error_message,"Should not be there: tau_reio acan be an input only for reio_camb and reio_half_tanh"); + break; + } - if (pth->reio_parametrization == reio_inter) { + /* ptaw->ptw->last_index_back has been properly set according to the + redshift z = -mz_inbi, we should keep memory of it */ + last_index_back_mz_ini = ptpaw->ptw->last_index_back; + + /* Calculate a first ionization history at upper limit */ + class_call(generic_evolver(thermodynamics_derivs, + mz_ini, + mz_end, + ptv->y, + ptv->used_in_output, + ptv->ti_size, + ptpaw, + ppr->tol_thermo_integration, + ppr->smallest_allowed_variation, + thermodynamics_timescale, // timescale + ppr->thermo_integration_stepsize, // stepsize + mz_output, // values of z for output + mz_size, // size of previous array + thermodynamics_sources, // function for output + NULL, // print variables + pth->error_message), + pth->error_message, + pth->error_message); - /* this parametrization requires at least one point (z,xe) */ - class_test(pth->reio_inter_num<1, - pth->error_message, - "current implementation of reio_inter requires at least one point (z,xe)"); + /* infer corresponding tau_reio */ + class_call(thermodynamics_reionization_get_tau(ppr, + pba, + pth, + ptw), + pth->error_message, + pth->error_message); - /* this parametrization requires that the first z value is zero */ - class_test(pth->reio_inter_z[0] != 0., - pth->error_message, - "For reio_inter scheme, the first value of reio_inter_z[...] should always be zero, you passed %e", - pth->reio_inter_z[0]); + tau_sup=ptw->reionization_optical_depth; - /* check that z input can be interpreted by the code */ - for (point=1; pointreio_inter_num; point++) { - class_test(pth->reio_inter_z[point-1]>=pth->reio_inter_z[point], - pth->error_message, - "value of reionization bin centers z_i expected to be passed in growing order, unlike: %e, %e", - pth->reio_inter_z[point-1], - pth->reio_inter_z[point]); + class_test(tau_sup < pth->tau_reio, + pth->error_message, + "parameters are such that reionization cannot start after z_start_max"); + + /** - Restore initial conditions */ + ptv->y[ptv->index_ti_D_Tmat] = ptvs->y[ptvs->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptvs->y[ptvs->index_ti_x_H]; + ptv->y[ptv->index_ti_x_He] = ptvs->y[ptvs->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptvs->y[ptvs->index_ti_T_idm]; + + /** - Evolve quantities through reionization assuming lower value of z_reio */ + + z_inf = 0.; + + /* minimum possible reionization redshift */ + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_redshift] = z_inf; + /* minimum possible starting redshift */ + switch (pth->reio_parametrization) { + case reio_camb: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = ppr->reionization_start_factor*pth->reionization_width; + if (ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] < pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width) { + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width; } + case reio_half_tanh: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = z_inf; + break; + default: + class_stop(pth->error_message,"Should not be there: tau_reio acan be an input only for reio_camb and reio_half_tanh"); + break; + } - /* this parametrization requires that the last x_i value is zero - (the code will substitute it with the value that one would get in - absence of reionization, as compute by the recombination code) */ - class_test(pth->reio_inter_xe[pth->reio_inter_num-1] != 0., - pth->error_message, - "For reio_inter scheme, the last value of reio_inter_xe[...] should always be zero, you passed %e", - pth->reio_inter_xe[pth->reio_inter_num-1]); - - /* copy here the (z,xe) values passed in input. */ + /* reset ptaw->ptw->last_index_back to match the redshift z = -mz_inbi */ + ptpaw->ptw->last_index_back = last_index_back_mz_ini; + + /* Calculate a second ionization history at lower limit */ + class_call(generic_evolver(thermodynamics_derivs, + mz_ini, + mz_end, + ptv->y, + ptv->used_in_output, + ptv->ti_size, + ptpaw, + ppr->tol_thermo_integration, + ppr->smallest_allowed_variation, + thermodynamics_timescale, // timescale + ppr->thermo_integration_stepsize, // stepsize + mz_output, // values of z for output + mz_size, // size of previous array + thermodynamics_sources, // function for output + NULL, // print variables + pth->error_message), + pth->error_message, + pth->error_message); - for (point=0; pointreio_num_z; point++) { + /* infer corresponding tau_reio */ + class_call(thermodynamics_reionization_get_tau(ppr, + pba, + pth, + ptw), + pth->error_message, + pth->error_message); - preio->reionization_parameters[preio->index_reio_first_z+point] = pth->reio_inter_z[point]; + tau_inf=ptw->reionization_optical_depth; - /* check that xe input can be interpreted by the code */ - xe_input = pth->reio_inter_xe[point]; - if (xe_input >= 0.) { - xe_actual = xe_input; - } - //-1 means "after hydrogen + first helium recombination" - else if ((xe_input<-0.9) && (xe_input>-1.1)) { - xe_actual = 1. + pth->YHe/(_not4_*(1.-pth->YHe)); - } - //-2 means "after hydrogen + second helium recombination" - else if ((xe_input<-1.9) && (xe_input>-2.1)) { - xe_actual = 1. + 2.*pth->YHe/(_not4_*(1.-pth->YHe)); - } - //other negative number is nonsense - else { - class_stop(pth->error_message, - "Your entry for reio_inter_xe[%d] is %e, this makes no sense (either positive or 0,-1,-2)", - point,pth->reio_inter_xe[point]); + class_test(tau_inf > pth->tau_reio, + pth->error_message, + "CLASS cannot reach the low value of tau_reio that was selected, even when setting z_reio as low as 0.\nThis means that some additional physical component is requiring some minimal tau_reio_min = %.10e.\nThis is usually caused by strong energy injections or other modifications of the x_e(z) behaviour.",tau_inf); + + /** - Restore initial conditions */ + ptv->y[ptv->index_ti_D_Tmat] = ptvs->y[ptvs->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptvs->y[ptvs->index_ti_x_H]; + ptv->y[ptv->index_ti_x_He] = ptvs->y[ptvs->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptvs->y[ptvs->index_ti_T_idm]; + + /** - Evolve quantities through reionization, trying intermediate values of z_reio by bisection */ + counter=0; + while ((tau_sup-tau_inf) > pth->tau_reio * ppr->reionization_optical_depth_tol) { + z_mid=0.5*(z_sup+z_inf); + + /* reionization redshift */ + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_redshift] = z_mid; + + /* infer starting redshift for hydrogen (Note, that this is only the start of the ADDITIONAL tanh re-ionization function)*/ + switch (pth->reio_parametrization) { + case reio_camb: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_redshift]+ppr->reionization_start_factor*pth->reionization_width; + /* if starting redshift for helium is larger, take that one + * (does not happen in realistic models) */ + if (ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] < pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width) { + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = pth->helium_fullreio_redshift+ppr->reionization_start_factor*pth->helium_fullreio_width; } - - preio->reionization_parameters[preio->index_reio_first_xe+point] = xe_actual; + break; + case reio_half_tanh: + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] = z_mid; + break; + default: + class_stop(pth->error_message,"Should not be there: tau_reio acan be an input only for reio_camb and reio_half_tanh"); + break; } - /* copy highest redshift in reio_start */ - preio->reionization_parameters[preio->index_reio_start] = preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1]; - - /* check it's not too big */ - class_test(preio->reionization_parameters[preio->index_reio_start] > ppr->reionization_z_start_max, + class_test(ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_start] > ppr->reionization_z_start_max, pth->error_message, - "starting redshift for reionization = %e, reionization_z_start_max = %e, you must change the binning or increase reionization_z_start_max", - preio->reionization_parameters[preio->index_reio_start], - ppr->reionization_z_start_max); - - /* infer xe before reio */ - class_call(thermodynamics_get_xe_before_reionization(ppr, - pth, - preco, - preio->reionization_parameters[preio->index_reio_first_z+preio->reio_num_z-1], - &(preio->reionization_parameters[preio->index_reio_first_xe+preio->reio_num_z-1])), + "starting redshift for reionization > reionization_z_start_max = %e",ppr->reionization_z_start_max); + + /* reset ptaw->ptw->last_index_back to match the redshift z = -mz_inbi */ + ptpaw->ptw->last_index_back = last_index_back_mz_ini; + + /* Compute a new ionization history */ + class_call(generic_evolver(thermodynamics_derivs, + mz_ini, + mz_end, + ptv->y, + ptv->used_in_output, + ptv->ti_size, + ptpaw, + ppr->tol_thermo_integration, + ppr->smallest_allowed_variation, + thermodynamics_timescale, // timescale + ppr->thermo_integration_stepsize, // stepsize + mz_output, // values of z for output + mz_size, // size of previous array + thermodynamics_sources, // function for output + NULL, // print variables + pth->error_message), pth->error_message, pth->error_message); - /* fill reionization table */ - class_call(thermodynamics_reionization_sample(ppr,pba,pth,preco,preio,pvecback), + /* infer corresponding tau_reio */ + class_call(thermodynamics_reionization_get_tau(ppr, + pba, + pth, + ptw), pth->error_message, pth->error_message); - pth->tau_reio=preio->reionization_optical_depth; + tau_mid=ptw->reionization_optical_depth; - return _SUCCESS_; + /* trial */ + if (tau_mid > pth->tau_reio) { + z_sup=z_mid; + tau_sup=tau_mid; + } + else { + z_inf=z_mid; + tau_inf=tau_mid; + } + + /* Restore initial conditions */ + ptv->y[ptv->index_ti_D_Tmat] = ptvs->y[ptvs->index_ti_D_Tmat]; + ptv->y[ptv->index_ti_x_H] = ptvs->y[ptvs->index_ti_x_H]; + ptv->y[ptv->index_ti_x_He] = ptvs->y[ptvs->index_ti_x_He]; + if (pba->has_idm == _TRUE_) + ptv->y[ptv->index_ti_T_idm] = ptvs->y[ptvs->index_ti_T_idm]; + /* counter to avoid infinite loop */ + counter++; + class_test(counter > _MAX_IT_, + pth->error_message, + "while searching for reionization_optical_depth, maximum number of iterations exceeded"); } - class_test(0 == 0, + /** - Store the ionization redshift in the thermodynamics structure */ + pth->z_reio = ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_reio_redshift]; + + /** - Free tempeoraty thermo vector */ + class_call(thermodynamics_vector_free(ptv), pth->error_message, - "value of reio_z_or_tau=%d unclear",pth->reio_z_or_tau); + pth->error_message); + + /* point ptw->ptdw->ptv to same location as when entering the function */ + ptw->ptdw->ptv = ptvs; + return _SUCCESS_; } /** - * For fixed input reionization parameters, this routine computes the - * reionization history and fills the reionization table. - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermo structure - * @param preco Input: pointer to filled recombination structure - * @param preio Input/Output: pointer to reionization structure (to be filled) - * @param pvecback Input: vector of background quantities (used as workspace: must be already allocated, with format short_info or larger, but does not need to be filled) - * @return the error status + * Subroutine evaluating the derivative of thermodynamical quantities + * with respect to negative redshift mz=-z. + * + * Automatically recognizes the current approximation interval and + * computes the derivatives for this interval of the vector y, which + * contains (Tmat, x_H, x_He) + others for exotic models. + * + * Derivatives are obtained either by calling either HyRec 2020 (Lee and Ali-Haimoud 2020, 2007.14114) + * or RecFastCLASS (that is, RecFast version 1.5, modified by Daniel Meinert and Nils Schoeneberg for + * better precision and smoothness at early times). See credits and licences in the wrappers (in external/...) + * + * This is one of the few functions in the code which are passed to the generic_evolver routine. Since generic_evolver + * should work with functions passed from various modules, the format of the arguments is a bit special: + * + * - fixed parameters and workspaces are passed through a generic pointer. Here, this pointer contains the precision, background + * and thermodynamics structures, plus a background vector, but generic_evolver doesn't know its precise structure. + * + * - the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message + * passed in the list of arguments. + * + * @param mz Input: negative redshift mz = -z + * @param y Input: vector of variable to integrate + * @param dy Output: its derivative (already allocated) + * @param parameters_and_workspace Input: pointer to fixed parameters (e.g. indices) and workspace (already allocated) + * @param error_message Output: error message */ -int thermodynamics_reionization_sample( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio, - double * pvecback - ) { - +int thermodynamics_derivs( + double mz, + double * y, + double * dy, + void * parameters_and_workspace, + ErrorMsg error_message + ) { /** Summary: */ - /** - define local variables */ + /** Define local variables */ + /* Index for iterating over derivatives */ + int index_ti; - /* a growing table (since the number of redshift steps is not known a priori) */ - growTable gTable; - /* needed for growing table */ - double * pData; - /* needed for growing table */ - void * memcopy_result; - /* current vector of values related to reionization */ - double * reio_vector; - /* running index inside thermodynamics table */ - int i; - int number_of_redshifts; - /* values of z, dz, X_e */ - double dz,dz_max; - double z,z_next; - double xe,xe_next; - double dkappadz,dkappadz_next; - double Tb,Yp,dTdz,opacity,mu; - double dkappadtau,dkappadtau_next; - double energy_rate; - double tau; - double chi_heat; - int last_index_back; - double relative_variation; + /* Shorthand notations */ + double z,x,nH,Trad,Tmat,x_H,x_He,Hz,eps,depsdlna,dHdlna,heat_capacity,rate_gamma_b; - Yp = pth->YHe; + /* Baryon molecular weight */ + double mu_bar; - /** - (a) allocate vector of values related to reionization */ - class_alloc(reio_vector,preio->re_size*sizeof(double),pth->error_message); + /* Shorthand notations for all of the structs */ + struct thermodynamics_parameters_and_workspace * ptpaw; + struct precision * ppr; + struct background * pba; + struct thermodynamics * pth; + double * pvecback; + struct thermo_workspace * ptw; + struct thermo_diffeq_workspace * ptdw; + struct thermo_vector * ptv; + struct thermorecfast * precfast; + struct injection * pin; + int ap_current; - /** - (b) create a growTable with gt_init() */ - class_call(gt_init(&gTable), - gTable.error_message, - pth->error_message); + /* varying fundamental constants */ + double alpha = 1., me = 1., rescale_rate = 1.; - /** - (c) first line is taken from thermodynamics table, just before reionization starts */ + /* Redshift */ + z = -mz; - /** - --> look where to start in current thermodynamics table */ - i=0; - while (preco->recombination_table[i*preco->re_size+preco->index_re_z] < preio->reionization_parameters[preio->index_reio_start]) { - i++; - class_test(i == ppr->recfast_Nz0, - pth->error_message, - "reionization_z_start_max = %e > largest redshift in thermodynamics table",ppr->reionization_z_start_max); - } + /** - Rename structure fields (just to avoid heavy notations) */ - /** - --> get redshift */ - z=preco->recombination_table[i*preco->re_size+preco->index_re_z]; - reio_vector[preio->index_re_z]=z; - preio->index_reco_when_reio_start=i; + /* structures */ + ptpaw = parameters_and_workspace; + ppr = ptpaw->ppr; + pba = ptpaw->pba; + pth = ptpaw->pth; + pin = &(pth->in); + /* vector of background quantities */ + pvecback = ptpaw->pvecback; + /* thermodynamics workspace & vector */ + ptw = ptpaw->ptw; + ptdw = ptw->ptdw; + ptv = ptdw->ptv; + /* pointer to Recfast/HyRec wrappers */ + precfast = ptdw->precfast; + /* Approximation flag */ + ap_current = ptdw->ap_current; + + /** - Get background/thermo quantities in this point */ + + class_call(background_at_z(pba, + z, + long_info, + inter_closeby, + &(ptw->last_index_back), + pvecback), + pba->error_message, + error_message); - /** - --> get \f$ X_e \f$ */ - class_call(thermodynamics_reionization_function(z,pth,preio,&xe), - pth->error_message, - pth->error_message); + /* Hz is H in inverse seconds (while pvecback returns [H0/c] in inverse Mpcs) */ + Hz = pvecback[pba->index_bg_H] * _c_ / _Mpc_over_m_; - reio_vector[preio->index_re_xe] = xe; + /* Total number density of Hydrogen nuclei in SI units */ + nH = ptw->SIunit_nH0 * (1.+z) * (1.+z) * (1.+z); - /** - --> get \f$ d \kappa / d z = (d \kappa / d \tau) * (d \tau / d z) = - (d \kappa / d \tau) / H \f$ */ + /* Photon temperature in Kelvins. Modify this for some non-trivial photon temperature changes */ + Trad = ptw->Tcmb * (1.+z); - class_call(background_tau_of_z(pba, - z, - &tau), - pba->error_message, - pth->error_message); + /** Set Tmat from the evolver (it is always evolved) and store it in the workspace. */ + Tmat = y[ptv->index_ti_D_Tmat] + ptw->Tcmb*(1.+z); - class_call(background_at_tau(pba, - tau, - pba->short_info, - pba->inter_normal, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + /* For varying fundamental constants (according to 1705.03925) */ + if (pth->has_varconst == _TRUE_) { + alpha = pvecback[pba->index_bg_varc_alpha]; + me = pvecback[pba->index_bg_varc_me]; + rescale_rate = alpha*alpha/me/me/me; + } - reio_vector[preio->index_re_dkappadtau] = (1.+z) * (1.+z) * pth->n_e * xe * _sigma_ * _Mpc_over_m_; + /** - The input vector y contains thermodynamic variables like + (Tmat, x_H,x_He). The goal of this function is: 1) Depending on + the chosen code and current approximation, to use either + analytical approximations or the vector y to calculate x_e; 2) To + compute re-ionization effects on x_e; The output of this function + is stored in the workspace ptdw */ - class_test(pvecback[pba->index_bg_H] == 0., + class_call(thermodynamics_ionization_fractions(z,y,pba,pth,ptw,ap_current), pth->error_message, - "stop to avoid division by zero"); + error_message); - reio_vector[preio->index_re_dkappadz] = reio_vector[preio->index_re_dkappadtau] / pvecback[pba->index_bg_H]; + /* Save the output in local variables */ + x = ptdw->x_reio; - dkappadz = reio_vector[preio->index_re_dkappadz]; - dkappadtau = reio_vector[preio->index_re_dkappadtau]; + /** - If needed, calculate heating effects (i.e. any possible energy deposition rates + affecting the evolution equations for x and Tmat) */ - /** - --> get baryon temperature **/ - Tb = preco->recombination_table[i*preco->re_size+preco->index_re_Tb]; - reio_vector[preio->index_re_Tb] = Tb; + if (pth->has_exotic_injection == _TRUE_) { + /* In case of energy injection, we currently neglect the contribution to helium ionization for RecFast ! */ + /* Note that we calculate here the energy injection INCLUDING reionization ! */ + class_call(injection_calculate_at_z(pba,pth,x,z,Tmat,pvecback), + pin->error_message, + error_message); + } - /** - --> after recombination, Tb scales like (1+z)**2. Compute constant factor Tb/(1+z)**2. */ - //Tba2 = Tb/(1+z)/(1+z); + /** - Derivative of the ionization fractions */ + x_H = ptdw->x_H; + x_He = ptdw->x_He; + x = ptdw->x_noreio; + switch (pth->recombination) { + + /** --> use Recfast or HyRec to get the derivatives d(x_H)/dz and + d(x_He)/dz, and store the result directly in the vector + dy. This gives the derivative of the ionization fractions from + recombination only (not from reionization). Of course, the + full treatment would involve the actual evolution equations + for x_H and x_He during reionization, but these are not yet + fully implemented. */ + case recfast: + precfast->fsR = alpha; /**< Pass value of fsR = relative alpha (fine-structure) */ + precfast->meR = me; /**< Pass value of meR = relative m_e (effective eletron mass) */ + /* Hydrogen equations */ + if (ptdw->require_H == _TRUE_) { + class_call(recfast_dx_H_dz(pth,precfast,x_H,x,nH,z,Hz,Tmat,Trad,&(dy[ptv->index_ti_x_H])), + precfast->error_message, + error_message); + } - /** - --> get baryon sound speed */ - reio_vector[preio->index_re_cb2] = 5./3. * _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * Yp + xe * (1.-Yp)) * Tb; + /* Helium equations */ + if (ptdw->require_He == _TRUE_) { + class_call(recfast_dx_He_dz(pth,precfast,x_He,x,x_H,nH,z,Hz,Tmat,Trad,&(dy[ptv->index_ti_x_He])), + precfast->error_message, + error_message); + } - /** - --> store these values in growing table */ - class_call(gt_add(&gTable,_GT_END_,(void *) reio_vector,sizeof(double)*(preio->re_size)), - gTable.error_message, - pth->error_message); + break; + case hyrec: + /* Hydrogen equations */ + if (ptdw->require_H == _TRUE_) { + class_call(hyrec_dx_H_dz(pth,ptw->ptdw->phyrec,x_H,x_He,x,nH,z,Hz,Tmat,Trad,alpha,me,&(dy[ptv->index_ti_x_H])), + ptw->ptdw->phyrec->error_message, + error_message); + } + + /* Helium equations */ + if (ptdw->require_He == _TRUE_) { + class_call(hyrec_dx_He_dz(pth,ptw->ptdw->phyrec,x_H,x_He,x,nH,z,Hz,Tmat,Trad,alpha,me,&(dy[ptv->index_ti_x_He])), + ptw->ptdw->phyrec->error_message, + error_message); + } + break; + } - number_of_redshifts=1; + /** - Derivative of the matter temperature (relevant for both Recfast and HyRec cases) */ - /** - (d) set the maximum step value (equal to the step in thermodynamics table) */ - dz_max=preco->recombination_table[i*preco->re_size+preco->index_re_z] - -preco->recombination_table[(i-1)*preco->re_size+preco->index_re_z]; + /* Restore the real x for the temperature equations. */ + x = ptdw->x_reio; - /** - (e) loop over redshift values in order to find values of z, x_e, kappa' (Tb and cb2 found later by integration). The sampling in z space is found here. */ + /** - Calculate quantities for interacting dark matter */ + if (pba->has_idm == _TRUE_ || pba->has_idr == _TRUE_) { + class_call(thermodynamics_idm_quantities(pba, z, y, dy, pth, ptw, pvecback), + pth->error_message, + pth->error_message); + } - /* initial step */ - dz = dz_max; + /* Using the following definitions and equations, we derive a few important quantities + Using n_e = x * n_H, n_He = f * n_H, rho_He ~ YHe * rho_b, rho_H ~ (1-YHe)*rho_b) + - Heat capacity of the IGM + heat_capacity = (3/2)*k_B*(n_H+n_He+n_e) = (3/2)*k_B*(1+f+x)*n_H + - Mean baryonic molecular mass + mu_bar = (rho_H + rho_He + rho_e)/(n_H + n_He + n_e) ~ ( (1. + YHe/(1+YHe) + 0.) * rho_H )/( (1. + f + x) * n_H) = m_H / (1+x+f) /(1-YHe) + - Photon-baryon momentum transfer rate + R_g = (4/3 * rho_g/rho_b) * (sigma_T * n_e) = (4/3 * rho_g * sigma_T ) * x * (1-YHe)/m_H + - Photon-Baryon interaction rate: + rate_gamma_b = 2 * mu_bar / m_e * R_g = 2 * (sigma_T/m_e) * (4/3 * rho_g) * x / (1. + f + x) + */ + /* Photon-Baryon temperature change rate */ + rate_gamma_b = ( 2. * _sigma_/_m_e_/_c_ ) * ( 4./3. * pvecback[pba->index_bg_rho_g] * _Jm3_over_Mpc2_ ) * x / (1.+x+ptw->fHe); + if (pth->has_varconst == _TRUE_) { + rate_gamma_b *= rescale_rate; + } - while (z > 0.) { + /* Heat capacity of the IGM */ + heat_capacity = (3./2.)*_k_B_*nH*(1.+ptw->fHe+x); + + /* + * A note on the temperature definition: + * + * All equations work with D_Tmat = Tmat - Trad + * + * Thus all derivatives are calculated as dD_Tmat/dz = dTmat/dz - Tcmb + **/ + + /* + * A note on the 'early' time steady state expansion (activated here before HeIII recombination): + * + * Note: dTr/dz = Tr/(1+z) = Tcmb + * + * The early system of CMB and matter is very tightly coupled anyway, so we can expand in the following way: + * The full equation is dTm/dz = (Tm-Tr)/e /(1+z) + 2 Tm/(1+z). Here e = H*(1+x+f)/(cT*Tr^4*x) << 1 at early times + * + * Find the first order solution in e, by multiplying in (1+z)*e, and approximate + * e*(dTm/dz)*(1+z) ~ e*(dTr/dz)*(1+z) + O(e^2) ~ e * Tr + * + * You find e*Tr = (Tm-Tr) + 2 Tm * e + * Thus Tm = (1+e)/(1+2*e) * Tr = Tr * (1-e) + O(e^2) + * + * This is the steady state solution, which is the SAME as e.g. in HyRec + * In our notation, eps = e*Tr, so we get Tm = Tr - eps + * + * So, taking the derivative of the right hand side, we obtain dTm/dz = Tcmb - eps*(dln(eps)/dz) + * + * Now use the form of eps = Tr*e = H*(1+x+f)/(cT*Tr^3*x) to derive the remaining terms in the below formula + * => dln(eps)/dlna = dln(H)/dlna - (1+f)/(1+x+f)*dln(x)/dlna + 3*dln(Tr)/dlna + * + * We also approximate dln(x)/dlna << 1, since we are before HeIII recombination, thus finding + * => dln(eps)/dlna ~ dln(H)/dlna + 3 + * + * dD_Tmat/dz = d(-eps)/dz = - eps * dln(eps)/dz = eps *dln(eps)/dlna /(1.+z) + **/ + + if ( ap_current == ptdw->index_ap_brec || (ptw->has_ap_idmtca == _TRUE_ && ap_current == ptdw->index_ap_idmtca)) { + /* Early time steady state equation */ + dHdlna = (1.+z)*pvecback[pba->index_bg_H_prime]/pvecback[pba->index_bg_H] * _c_ / _Mpc_over_m_; + eps = Trad * Hz / rate_gamma_b; + depsdlna = dHdlna/Hz + 3.; + /* Recfast v 1.5: add here a smoothing term as suggested by Adam Moss */ + dy[ptdw->ptv->index_ti_D_Tmat] = eps * depsdlna / (1.+z); + } - class_test(dz < ppr->smallest_allowed_variation, - pth->error_message, - "stuck in the loop for reionization sampling, as if you were trying to impose a discontinuous evolution for xe(z)"); + else { + /* Full equations at later times */ + dy[ptv->index_ti_D_Tmat] = + + 2.*Tmat/(1.+z) /* Adiabatic expansion */ + + rate_gamma_b * (Tmat-Trad) / (Hz*(1.+z)) /* Coupling to photons*/ + - ptw->Tcmb; /* dTrad/dz */ + + /* Add heating from energy injection */ + if (pth->has_exotic_injection == _TRUE_) { + dy[ptv->index_ti_D_Tmat] -= pin->pvecdeposition[pin->index_dep_heat] / heat_capacity / (Hz*(1.+z)); + } + /* Add term coming from idm_b */ + if (pth->has_idm_b == _TRUE_){ + mu_bar = _m_H_ / (1. + x + ptw->fHe) / (1. - pth->YHe); //In units of kg + dy[ptv->index_ti_D_Tmat] += 2.* pvecback[pba->index_bg_rho_idm]/pvecback[pba->index_bg_rho_b] + * mu_bar/(pth->m_idm*_eV_/_c_/_c_ + _m_p_) + * ptdw->R_idm_b*(Tmat-ptdw->T_idm) / (pvecback[pba->index_bg_a]*pvecback[pba->index_bg_H]*(1.+z)); + } + } - /* - try next step */ - z_next=z-dz; - if (z_next < 0.) z_next=0.; + /** - Derivative of the Dark Matter temperature */ + if (pba->has_idm == _TRUE_ && !(ptw->has_ap_idmtca == _TRUE_ && ap_current == ptdw->index_ap_idmtca)) { + dy[ptv->index_ti_T_idm] = - ptdw->T_idm_prime; // the negative sign will be negated at the end + } - class_call(thermodynamics_reionization_function(z_next,pth,preio,&xe_next), - pth->error_message, - pth->error_message); + /** - If we have extreme heatings, recombination does not fully happen + * and/or re-ionization happens before a redshift of + * reionization_z_start_max (default = 50). We want to catch this + * unphysical regime, because it would lead to further errors + * (and/or unphysical calculations) within our recombination codes + */ - class_call(background_tau_of_z(pba, - z_next, - &tau), - pba->error_message, - pth->error_message); + class_test((x>1.0) && (z < ppr->z_end_reco_test) && (z > ppr->reionization_z_start_max), + error_message, + "At redshift %.5g : Recombination did not complete by redshift %.5g, or re-ionization happened before %.5g.\nIf this is a desired behavior, please adjust z_end_reco_test and/or reionization_z_start_max.", + z,ppr->z_end_reco_test,ppr->reionization_z_start_max); - class_call(background_at_tau(pba, - tau, - pba->short_info, - pba->inter_normal, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + /** - invert all derivatives (because the evolver evolves with -z, not with +z) */ - class_test(pvecback[pba->index_bg_H] == 0., - pth->error_message, - "stop to avoid division by zero"); + for (index_ti=0;index_tiptv->ti_size;index_ti++) { + dy[index_ti]=-dy[index_ti]; + } - dkappadz_next= (1.+z_next) * (1.+z_next) * pth->n_e * xe_next * _sigma_ * _Mpc_over_m_ / pvecback[pba->index_bg_H]; + return _SUCCESS_; +} - dkappadtau_next= (1.+z_next) * (1.+z_next) * pth->n_e * xe_next * _sigma_ * _Mpc_over_m_; +/** + * This function is relevant for the rk evolver, not ndf15. It + * estimates a timescale 'delta z' over which quantitites vary. The rk + * evolver divides large intervals in steps given by this timescale + * multiplied by ppr->thermo_integration_stepsize. + * + * This is one of the few functions in the code which is passed to the generic_evolver routine. Since generic_evolver + * should work with functions passed from various modules, the format of the arguments is a bit special: + * + * - fixed parameters and workspaces are passed through a generic pointer. generic_evolver doesn't know the content of this + * pointer. + * + * - the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message passed + * in the list of arguments. + * + * @param mz Input: minus the redshift + * @param thermo_parameters_and_workspace Input: pointer to parameters and workspace + * @param timescale Output: pointer to the timescale + * @param error_message Output: possible errors are written here + * @return the error status + */ - class_test((dkappadz == 0.) || (dkappadtau == 0.), - pth->error_message, - "stop to avoid division by zero"); +int thermodynamics_timescale( + double mz, + void * thermo_parameters_and_workspace, + double * timescale, + ErrorMsg error_message + ) { - relative_variation = fabs((dkappadz_next-dkappadz)/dkappadz) + - fabs((dkappadtau_next-dkappadtau)/dkappadtau); + int index_z; + struct thermodynamics_parameters_and_workspace * ptpaw; - if (relative_variation < ppr->reionization_sampling) { - /* accept the step: get \f$ z, X_e, d kappa / d z \f$ and store in growing table */ + ptpaw = thermo_parameters_and_workspace; - z=z_next; - xe=xe_next; - dkappadz=dkappadz_next; - dkappadtau= dkappadtau_next; + /* We could evaluate the timescale automatically, e.g, as [x / (dx/dz)]. */ - class_test((dkappadz == 0.) || (dkappadtau == 0.), - pth->error_message, - "dkappadz=%e, dkappadtau=%e, stop to avoid division by zero",dkappadz,dkappadtau); + /* But for simplicity, we assume that the array of values of z to + sample (pth->z_table) has been chosen in such way that the + quantities vary only by a small amount over each step. Thus we + define our step as delta(-z) = ((-z_i+1) - (-z_i)) = (z_i - + z_i+1) */ - reio_vector[preio->index_re_z] = z; - reio_vector[preio->index_re_xe] = xe; - reio_vector[preio->index_re_dkappadz] = dkappadz; - reio_vector[preio->index_re_dkappadtau] = dkappadz * pvecback[pba->index_bg_H]; + /* find index_z such that pth->z_table[index_z] > z > pth->z_table[index_z+1] */ + class_call(array_hunt_ascending(ptpaw->pth->z_table, + ptpaw->pth->tt_size, + -mz, + &index_z, + error_message), + error_message, + error_message); - class_call(gt_add(&gTable,_GT_END_,(void *) reio_vector,sizeof(double)*(preio->re_size)), - gTable.error_message, - pth->error_message); + *timescale = ptpaw->pth->z_table[index_z+1] - ptpaw->pth->z_table[index_z]; - number_of_redshifts++; + return _SUCCESS_; +} - dz = MIN(0.9*(ppr->reionization_sampling/relative_variation),5.)*dz; - dz = MIN(dz,dz_max); - } - else { - /* do not accept the step and update dz */ - dz = 0.9*(ppr->reionization_sampling/relative_variation)*dz; - } - } +/** + * This function is passed to the generic evolver and is called whenever we want to store values for a given mz. + * + * The ionization fraction is either computed within a call to + * thermodynamics_derivs(). Moreover there is an automatic smoothing + * enabled which smoothes out the the ionization_fraction after each + * approximation switch. This is also the place where HyRec is asked + * to evolve x(z) using its internal system of differential equations + * over the next range [z_i, z_i+1], and to store the result in a + * temporary table. + * + * This is one of the few functions in the code which is passed to the generic_evolver routine. Since generic_evolver + * should work with functions passed from various modules, the format of the arguments is a bit special: + * + * - fixed parameters and workspaces are passed through a generic pointer. generic_evolver doesn't know the content of this + * pointer. + * + * - the error management is a bit special: errors are not written as usual to pth->error_message, but to a generic error_message passed + * in the list of arguments. + * + * All quantities are computed by a simple call to thermodynamics_derivs, which computes all necessary quantities + * and stores them in the ptdw thermo_diffeq_workspace structure + * + * @param mz Input: negative redshift, belonging to array mz_output + * @param y Input: vector of evolved thermodynamical quantities + * @param dy Input: derivatives of this vector w.r.t redshift + * @param index_z Input: index in the array mz_output + * @param thermo_parameters_and_workspace Input/Output: in input, all parameters needed by thermodynamics_derivs; in output, recombination table + * @param error_message Output: error message + * @return the error status + */ - /** - (f) allocate reionization_table with correct size */ - class_alloc(preio->reionization_table,preio->re_size*number_of_redshifts*sizeof(double),pth->error_message); +int thermodynamics_sources( + double mz, + double * y, + double * dy, + int index_z, + void * thermo_parameters_and_workspace, + ErrorMsg error_message + ) { - preio->rt_size=number_of_redshifts; + /** Summary: */ - /** - (g) retrieve data stored in the growTable with gt_getPtr() */ - class_call(gt_getPtr(&gTable,(void**)&pData), - gTable.error_message, - pth->error_message); + /** Define local variables */ + /* Shorthand notations */ + double z,x=0.,Tmat,Trad,dTmat; + /* Varying fundamental constants */ + double sigmaTrescale = 1.,alpha = 1.,me = 1.; + /* Recfast smoothing */ + double x_previous, weight,s; + /* Structures as shorthand_notation */ + struct thermodynamics_parameters_and_workspace * ptpaw; + struct background * pba; + struct thermodynamics * pth; + struct thermo_workspace * ptw; + struct thermo_diffeq_workspace * ptdw; + struct thermo_vector * ptv; + int ap_current; - /** - (h) copy growTable to reionization_temporary_table (invert order of lines, so that redshift is growing, like in recombination table) */ - for (i=0; i < preio->rt_size; i++) { - memcopy_result = memcpy(preio->reionization_table+i*preio->re_size,pData+(preio->rt_size-i-1)*preio->re_size,preio->re_size*sizeof(double)); - class_test(memcopy_result != preio->reionization_table+i*preio->re_size, - pth->error_message, - "cannot copy data back to reionization_temporary_table"); + /* Redshift */ + z = -mz; - } + /** - Rename structure fields (just to avoid heavy notations) */ - /** - (i) free the growTable with gt_free() , free vector of reionization variables */ - class_call(gt_free(&gTable), - gTable.error_message, - pth->error_message); + /* Structs */ + ptpaw = thermo_parameters_and_workspace; + pba = ptpaw->pba; + pth = ptpaw->pth; + /* Thermo workspace & vector */ + ptw = ptpaw->ptw; + ptdw = ptw->ptdw; + ptv = ptdw->ptv; + /* Approximation flag */ + ap_current = ptdw->ap_current; + + if (pth->has_exotic_injection == _TRUE_) { + /* Tell heating module that it should store the heating at this z in its internal table */ + (pth->in).to_store = _TRUE_; + } - free(reio_vector); + /** - Recalculate all quantities at this current redshift: we need + at least pvecback, ptdw->x_reio, dy[ptv->index_ti_D_Tmat] */ - /** - (j) another loop on z, to integrate equation for Tb and to compute cb2 */ - for (i=preio->rt_size-1; i >0 ; i--) { + class_call(thermodynamics_derivs(mz,y,dy,thermo_parameters_and_workspace,error_message), + error_message, + error_message); - z = preio->reionization_table[i*preio->re_size+preio->index_re_z]; + /* Assign local variables (note that pvecback is filled through derivs) */ + Trad = ptw->Tcmb*(1.+z); + Tmat = y[ptv->index_ti_D_Tmat] + Trad; + /* Note that dy[index_ti_Q] represents dQ/d(-z), thus we need -dy here */ + dTmat = -dy[ptv->index_ti_D_Tmat] + Trad/(1.+z); - class_call(background_tau_of_z(pba, - z, - &tau), + /* Get sigmaT rescale factor from fundamental constants */ + if (pth->has_varconst == _TRUE_) { + class_call(background_varconst_of_z(pba, z, &alpha, &me), pba->error_message, pth->error_message); + sigmaTrescale = alpha*alpha/me/me; + } - class_call(background_at_tau(pba, - tau, - pba->normal_info, - pba->inter_normal, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + /* get x */ + x = ptdw->x_reio; - dz = (preio->reionization_table[i*preio->re_size+preio->index_re_z]-preio->reionization_table[(i-1)*preio->re_size+preio->index_re_z]); + /** - In the recfast case, we manually smooth the results a bit */ - opacity = (1.+z) * (1.+z) * pth->n_e - * preio->reionization_table[i*preio->re_size+preio->index_re_xe] * _sigma_ * _Mpc_over_m_; + /* Smoothing if we are shortly after an approximation switch, i.e. if z is within 2 delta after the switch*/ + if ((ap_current != 0) && (z > ptdw->ap_z_limits[ap_current-1]-2*ptdw->ap_z_limits_delta[ap_current])) { - mu = _m_H_/(1. + (1./_not4_ - 1.) * pth->YHe + preio->reionization_table[i*preio->re_size+preio->index_re_xe] * (1.-pth->YHe)); + class_call(thermodynamics_ionization_fractions(z,y,pba,pth,ptw,ap_current-1), + pth->error_message, + error_message); - /** - --> derivative of baryon temperature */ + x_previous = ptdw->x_reio; + // get s from 0 to 1 + s = (ptdw->ap_z_limits[ap_current-1]-z)/(2*ptdw->ap_z_limits_delta[ap_current]); + // infer f2(x) = smooth function interpolating from 0 to 1 + weight = f2(s); - dTdz=2./(1+z)*preio->reionization_table[i*preio->re_size+preio->index_re_Tb] - -2.*mu/_m_e_*4.*pvecback[pba->index_bg_rho_g]/3./pvecback[pba->index_bg_rho_b]*opacity* - (pba->T_cmb * (1.+z)-preio->reionization_table[i*preio->re_size+preio->index_re_Tb])/pvecback[pba->index_bg_H]; + /* get smoothed x */ + x = weight*x+(1.-weight)*x_previous; + } - if (preco->annihilation > 0) { + /** - Store the results in the table. Results are obtained in order of decreasing z, and stored in order of growing z */ - class_call(thermodynamics_energy_injection(ppr,pba,preco,z,&energy_rate,pth->error_message), - pth->error_message, - pth->error_message); + /* ionization fraction */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_xe] = x; - // old approximation from Chen and Kamionkowski: - // chi_heat = (1.+2.*preio->reionization_table[i*preio->re_size+preio->index_re_xe])/3.; + /* Tb */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_Tb] = Tmat; - // coefficient as revised by Slatyer et al. 2013 - // (in fact it is a fit by Vivian Poulin of columns 1 and 2 in Table V - // of Slatyer et al. 2013): - xe = preio->reionization_table[i*preio->re_size+preio->index_re_xe]; - if (xe < 1.) - chi_heat = MIN(0.996857*(1.-pow(1.-pow(xe,0.300134),1.51035)),1); - else - chi_heat = 1.; + /* Baryon temperature derivative */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_dTb] = dTmat; - dTdz+= -2./(3.*_k_B_)*energy_rate*chi_heat - /(preco->Nnow*pow(1.+z,3))/(1.+preco->fHe+preio->reionization_table[i*preio->re_size+preio->index_re_xe]) - /(pvecback[pba->index_bg_H]*_c_/_Mpc_over_m_*(1.+z)); /* energy injection */ + /* wb = (k_B/mu) Tb */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_wb] + = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * ptw->YHe + x * (1.-ptw->YHe)) * Tmat; + /* cb2 = (k_B/mu) Tb (1-1/3 dlnTb/dlna) = (k_B/mu) Tb (1 + 1/3 (1+z) dlnTb/dz) */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_cb2] + = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * ptw->YHe + x * (1.-ptw->YHe)) * Tmat * (1. + (1.+z) * dTmat / Tmat / 3.); + + /* dkappa/dtau = a n_e x_e sigma_T = a^{-2} n_e(today) x_e sigma_T (in units of 1/Mpc) */ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_dkappa] + = (1.+z) * (1.+z) * ptw->SIunit_nH0 * x * sigmaTrescale * _sigma_ * _Mpc_over_m_; + + if (pba->has_idm == _TRUE_) { + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_T_idm] = ptdw->T_idm; + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_c2_idm] = ptdw->c2_idm; + if (pth->has_idm_g == _TRUE_) { + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_dmu_idm_g] = ptdw->dmu_idm_g; + } + if (pth->has_idm_dr == _TRUE_) { + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_dmu_idm_dr] = ptdw->dmu_idm_dr; + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_ddmu_idm_dr] = ptdw->Sinv_idm_dr * ptdw->dmu_idm_dr; /* store temporarily in 'wrong' column */ + } + if (pth->has_idm_b == _TRUE_){ + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size+pth->index_th_R_idm_b] = ptdw->R_idm_b; } + } + if (pba->has_idr == _TRUE_) { + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_T_idr] = pba->T_idr*(1.+z); + pth->thermodynamics_table[(pth->tt_size-index_z-1)*pth->th_size + pth->index_th_dmu_idr] = ptdw->dmu_idr; + } + + return _SUCCESS_; +} + +/** + * Get the optical depth of reionization tau_reio for a given thermodynamical history. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param ptw Input: pointer to thermodynamics workspace + * @return the error status + */ - /** - --> increment baryon temperature */ +int thermodynamics_reionization_get_tau( + struct precision * ppr, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw + ) { - preio->reionization_table[(i-1)*preio->re_size+preio->index_re_Tb] = - preio->reionization_table[i*preio->re_size+preio->index_re_Tb]-dTdz*dz; + /** Summary: */ - /** - --> get baryon sound speed */ + /** Define local variables */ + /* running index inside thermodynamics table */ + int index_z,index_reio_start=0; + double x_e_min; + + x_e_min = _HUGE_; + + /** + * We are searching now for the start of reionization. This will be + * the time at which the optical depth tau_reio will be computed. + * + * Note that the value reionization_parameters[index_reio_start] is + * only the start of the reionization function added manually, but + * not necessarily the total start of reionization. Reionization + * could be longer/shifted by energy injection. + * + * The actual the definition of tau_reio is not unique and + * unambiguous. We defined it here to be the optical depth up to the + * time at which there is a global minimum in the free electron + * fraction. We search for this time by iterating over the + * thermodynamics table, in order to find the corresponding + * index_reio_start. + */ + + for (index_z=0; index_ztt_size-1; index_z++) { + if (pth->thermodynamics_table[index_z*pth->th_size+pth->index_th_xe] < x_e_min) { + x_e_min = pth->thermodynamics_table[index_z*pth->th_size+pth->index_th_xe]; + index_reio_start = index_z; + } + } - preio->reionization_table[(i-1)*preio->re_size+preio->index_re_cb2] = _k_B_/ ( _c_ * _c_ * mu) - * preio->reionization_table[(i-1)*preio->re_size+preio->index_re_Tb] - *(1.+(1+z)/3.*dTdz/preio->reionization_table[(i-1)*preio->re_size+preio->index_re_Tb]); + class_test(index_reio_start == pth->tt_size, + pth->error_message, + "reionization start = %e > largest redshift in thermodynamics table",pth->z_table[index_reio_start]); + + if (index_reio_start == 0) { + /* the global minimum of xe(z) is at z=0. This is possible in + models no reionization and no exotic energy + injection. According to our definition of the reionization + optical depth, tau_reio should then be zero. */ + ptw->reionization_optical_depth = 0; + return _SUCCESS_; + } + if (index_reio_start < 3) { + /* we need a minimum of three values to do a spline integration in the next step */ + index_reio_start =3; } - /** - --> spline \f$ d \tau / dz \f$ with respect to z in view of integrating for optical depth */ - class_call(array_spline(preio->reionization_table, - preio->re_size, - preio->rt_size, - preio->index_re_z, - preio->index_re_dkappadz, - preio->index_re_d3kappadz3, - _SPLINE_EST_DERIV_, - pth->error_message), + /** - --> spline \f$ d \tau / dz \f$ with respect to z in view of + * integrating for optical depth between 0 and the just found + * starting index + */ + class_call(array_spline_table_line_to_line(pth->tau_table, + index_reio_start, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dkappa, + pth->index_th_dddkappa, + _SPLINE_EST_DERIV_, + pth->error_message), pth->error_message, pth->error_message); /** - --> integrate for optical depth */ - class_call(array_integrate_all_spline(preio->reionization_table, - preio->re_size, - preio->rt_size, - preio->index_re_z, - preio->index_re_dkappadz, - preio->index_re_d3kappadz3, - &(preio->reionization_optical_depth), - pth->error_message), + class_call(array_integrate_all_spline_table_line_to_line(pth->tau_table, + index_reio_start, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dkappa, + pth->index_th_dddkappa, + &(ptw->reionization_optical_depth), + pth->error_message), pth->error_message, pth->error_message); + ptw->reionization_optical_depth *= -1; // tau and z go in reverse order, so we must flip the sign + return _SUCCESS_; +} + +/** + * Free the thermo_vector structure, which is the '->ptv' field of the thermodynamics_differential_workspace ptdw structure + * + * @param tv Input: pointer to thermo_vector structure to be freed + * @return the error status + */ +int thermodynamics_vector_free( + struct thermo_vector * tv + ) { + + free(tv->y); + free(tv->dy); + free(tv->used_in_output); + free(tv); + + return _SUCCESS_; } /** - * Integrate thermodynamics with your favorite recombination code. + * Compute the baryon drag conformal time tau_d = [int_{tau_today}^{tau} dtau -dkappa_d/dtau] * + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @param pvecback Input: Initialized vector of background quantities + * @return the error status */ -int thermodynamics_recombination( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - double * pvecback - ) { +int thermodynamics_calculate_conformal_drag_time( + struct background* pba, + struct thermodynamics* pth, + double* pvecback + ) { - if (pth->recombination==hyrec) { + /** Summary: */ - class_call(thermodynamics_recombination_with_hyrec(ppr,pba,pth,preco,pvecback), - pth->error_message, - pth->error_message); + /** Define local variables */ + double R; + int index_tau; + int last_index_back; - } + /** - compute minus the baryon drag interaction rate time, -dkappa_d/dtau = -[1/R * kappa'], with R = 3 rho_b / 4 rho_gamma, + stored temporarily in column ddkappa */ - if (pth->recombination==recfast) { + /* find the value of last_index_back for tau_table[0] in order to speed up subsequent interpolations in the loop */ + class_call(background_at_tau(pba, + pth->tau_table[0], + normal_info, + inter_normal, + &last_index_back, + pvecback), + pba->error_message, + pth->error_message); - class_call(thermodynamics_recombination_with_recfast(ppr,pba,pth,preco,pvecback), - pth->error_message, + for (index_tau=0; index_tau < pth->tt_size; index_tau++) { + + class_call(background_at_tau(pba, + pth->tau_table[index_tau], + normal_info, + inter_closeby, + &last_index_back, + pvecback), + pba->error_message, pth->error_message); + R = 3./4.*pvecback[pba->index_bg_rho_b]/pvecback[pba->index_bg_rho_g]; + + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] = + -1./R*pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa]; + } - return _SUCCESS_; + /** - compute second derivative of this rate, -[1/R * kappa']'', stored temporarily in column dddkappa */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddkappa, + pth->index_th_dddkappa, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); + + /** - compute tau_d = [int_{tau_today}^{tau} dtau -dkappa_d/dtau] */ + class_call(array_integrate_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddkappa, + pth->index_th_dddkappa, + pth->index_th_tau_d, + pth->error_message), + pth->error_message, + pth->error_message); + return _SUCCESS_; } /** - * Integrate thermodynamics with HyRec. - * - * Integrate thermodynamics with HyRec, allocate and fill the part - * of the thermodynamics interpolation table (the rest is filled in - * thermodynamics_init()). Called once by - * thermodynamics_recombination(), from thermodynamics_init(). + * Compute the damping scale + * r_d = 2pi/k_d = 2pi * [int_{tau_ini}^{tau} dtau (1/kappa') 1/6 (R^2+16/15(1+R))/(1+R)^2]^1/2 + * = 2pi * [int_{tau_ini}^{tau} dtau (1/kappa') 1/6 (R^2/(1+R)+16/15)/(1+R)]^1/2 * - ************************************************************************************************* - * HYREC: Hydrogen and Helium Recombination Code - * Written by Yacine Ali-Haimoud and Chris Hirata (Caltech) - ************************************************************************************************* + * which is like in CosmoTherm (CT), but slightly different from Wayne Hu (WH)'s thesis eq. (5.59): + * The factor 16/15 in CT is 4/5 in WH, but 16/15 is taking more effects into account * - * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermodynamics structure - * @param preco Output: pointer to recombination structure - * @param pvecback Input: pointer to an allocated (but empty) vector of background variables + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @param pvecback Input: Initialized vector of background quantities + * @return the error status */ -int thermodynamics_recombination_with_hyrec( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - double * pvecback - ) { - /** Summary: */ -#ifdef HYREC - - REC_COSMOPARAMS param; - HRATEEFF rate_table; - TWO_PHOTON_PARAMS twog_params; - double *xe_output, *Tm_output; - int i,j,l,Nz,b; - double z, xe, Tm, Hz; - FILE *fA; - FILE *fR; - double L2s1s_current; - void * buffer; - int buf_size; - double tau; - int last_index_back; - double w_fld,dw_over_da_fld,integral_fld; - - /** - Fill hyrec parameter structure */ - - param.T0 = pba->T_cmb; - param.obh2 = pba->Omega0_b*pba->h*pba->h; - param.omh2 = (pba->Omega0_b+pba->Omega0_cdm+pba->Omega0_ncdm_tot)*pba->h*pba->h; - param.okh2 = pba->Omega0_k*pba->h*pba->h; - param.odeh2 = (pba->Omega0_lambda+pba->Omega0_fld)*pba->h*pba->h; - class_call(background_w_fld(pba,pba->a_today,&w_fld,&dw_over_da_fld,&integral_fld), pba->error_message, pth->error_message); - param.w0 = w_fld; - param.wa = -dw_over_da_fld*pba->a_today; - param.Y = pth->YHe; - param.Nnueff = pba->Neff; - param.nH0 = 11.223846333047*param.obh2*(1.-param.Y); /* number density of hydrogen today in m-3 */ - param.fHe = param.Y/(1-param.Y)/3.97153; /* abundance of helium by number */ - param.zstart = ppr->recfast_z_initial; /* Redshift range */ - param.zend = 0.; - param.dlna = 8.49e-5; - param.nz = (long) floor(2+log((1.+param.zstart)/(1.+param.zend))/param.dlna); - param.annihilation = pth->annihilation; - param.has_on_the_spot = pth->has_on_the_spot; - param.decay = pth->decay; - param.annihilation_variation = pth->annihilation_variation; - param.annihilation_z = pth->annihilation_z; - param.annihilation_zmax = pth->annihilation_zmax; - param.annihilation_zmin = pth->annihilation_zmin; - param.annihilation_f_halo = pth->annihilation_f_halo; - param.annihilation_z_halo = pth->annihilation_z_halo; - - /** - Build effective rate tables */ - - /* allocate contiguous memory zone */ - - buf_size = (2*NTR+NTM+2*NTR*NTM+2*param.nz)*sizeof(double) + 2*NTM*sizeof(double*); - - class_alloc(buffer, - buf_size, - pth->error_message); - - /** - distribute addresses for each table */ +int thermodynamics_calculate_damping_scale( + struct background* pba, + struct thermodynamics* pth, + double* pvecback + ) { - rate_table.logTR_tab = (double*)buffer; - rate_table.TM_TR_tab = (double*)(rate_table.logTR_tab + NTR); - rate_table.logAlpha_tab[0] = (double**)(rate_table.TM_TR_tab+NTM); - rate_table.logAlpha_tab[1] = (double**)(rate_table.logAlpha_tab[0]+NTM); - rate_table.logAlpha_tab[0][0] = (double*)(rate_table.logAlpha_tab[1]+NTM); - for (j=1;jtt_size*sizeof(double),pth->error_message); - for (i = 0; i < NTR; i++) - rate_table.logTR_tab[i] = log(TR_MIN) + i * (log(TR_MAX)-log(TR_MIN))/(NTR-1.); - for (i = 0; i < NTM; i++) - rate_table.TM_TR_tab[i] = TM_TR_MIN + i * (TM_TR_MAX-TM_TR_MIN)/(NTM-1.); + /* find the value of last_index_back for + tau_table[pth->tt_size-1] = tau_table_growing[0] in order to + speed up subsequent interpolations in the loop */ + class_call(background_at_tau(pba, + pth->tau_table[pth->tt_size-1], + normal_info, + inter_normal, + &last_index_back, + pvecback), + pba->error_message, + pth->error_message); - rate_table.DlogTR = rate_table.logTR_tab[1] - rate_table.logTR_tab[0]; - rate_table.DTM_TR = rate_table.TM_TR_tab[1] - rate_table.TM_TR_tab[0]; + /* compute integrand and store temporarily in column "ddkappa" */ + for (index_tau=0; index_tau < pth->tt_size; index_tau++) { - /* read in file */ + tau_table_growing[index_tau] = pth->tau_table[pth->tt_size-1-index_tau]; - class_open(fA,ppr->hyrec_Alpha_inf_file, "r",pth->error_message); - class_open(fR,ppr->hyrec_R_inf_file, "r",pth->error_message); + class_call(background_at_tau(pba, + tau_table_growing[index_tau], + normal_info, + inter_closeby, + &last_index_back, + pvecback), + pba->error_message, + pth->error_message); - for (i = 0; i < NTR; i++) { - for (j = 0; j < NTM; j++) { - for (l = 0; l <= 1; l++) { - if (fscanf(fA, "%le", &(rate_table.logAlpha_tab[l][j][i])) != 1) - class_stop(pth->error_message,"Error reading hyrec data file %s",ppr->hyrec_Alpha_inf_file); - rate_table.logAlpha_tab[l][j][i] = log(rate_table.logAlpha_tab[l][j][i]); - } - } + R = 3./4.*pvecback[pba->index_bg_rho_b]/pvecback[pba->index_bg_rho_g]; - if (fscanf(fR, "%le", &(rate_table.logR2p2s_tab[i])) !=1) - class_stop(pth->error_message,"Error reading hyrec data file %s",ppr->hyrec_R_inf_file); - rate_table.logR2p2s_tab[i] = log(rate_table.logR2p2s_tab[i]); + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa] = + 1./6./pth->thermodynamics_table[(pth->tt_size-1-index_tau)*pth->th_size+pth->index_th_dkappa] + *(R*R/(1+R)+16./15.)/(1.+R); } - fclose(fA); - fclose(fR); - /* Read two-photon rate tables */ - - class_open(fA,ppr->hyrec_two_photon_tables_file, "r",pth->error_message); + /* compute second derivative of integrand, and store temporarily in column "dddkappa" */ + class_call(array_spline_table_line_to_line(tau_table_growing, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddkappa, + pth->index_th_dddkappa, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - for (b = 0; b < NVIRT; b++) { - if ((fscanf(fA, "%le", &(twog_params.Eb_tab[b])) != 1) || - (fscanf(fA, "%le", &(twog_params.A1s_tab[b])) != 1) || - (fscanf(fA, "%le", &(twog_params.A2s_tab[b])) != 1) || - (fscanf(fA, "%le", &(twog_params.A3s3d_tab[b])) != 1) || - (fscanf(fA, "%le", &(twog_params.A4s4d_tab[b])) != 1)) - class_stop(pth->error_message,"Error reading hyrec data file %s",ppr->hyrec_two_photon_tables_file); - } + /* compute integratal and store temporarily in column "g" */ + class_call(array_integrate_spline_table_line_to_line(tau_table_growing, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddkappa, + pth->index_th_dddkappa, + pth->index_th_g, + pth->error_message), + pth->error_message, + pth->error_message); - fclose(fA); + free(tau_table_growing); - /** - Normalize 2s--1s differential decay rate to L2s1s (can be set by user in hydrogen.h) */ - L2s1s_current = 0.; - for (b = 0; b < NSUBLYA; b++) L2s1s_current += twog_params.A2s_tab[b]; - for (b = 0; b < NSUBLYA; b++) twog_params.A2s_tab[b] *= L2s1s/L2s1s_current; + /* we could now write the result as r_d = 2pi * sqrt(integral), + * but we will first better acount for the contribution frokm the tau_ini boundary. + * Close to this boundary, R=0 and the integrand is just 16/(15*6)/kappa' + * Using kappa' propto 1/a^2 and tau propro a during RD, we get the analytic result: + * int_0^{tau_ini} dtau / kappa' = tau_ini / 3 / kappa'_ini + * Thus r_d = 2pi * sqrt( 16/(15*6*3) * (tau_ini/ kappa'_ini) * integral) + */ - /* In CLASS, we have neutralized the switches for the various - effects considered in Hirata (2008), keeping the full - calculation as a default; but you could restore their - functionality by copying a few lines from hyrec/hyrec.c to - here */ + tau_ini = pth->tau_table[pth->tt_size-1]; + dkappa_ini = pth->thermodynamics_table[(pth->tt_size-1)*pth->th_size+pth->index_th_dkappa]; - /** - Compute the recombination history by calling a function in hyrec (no CLASS-like error management here) */ + for (index_tau=0; index_tau < pth->tt_size; index_tau++) { - if (pth->thermodynamics_verbose > 0) - printf(" -> calling HyRec version %s,\n",HYREC_VERSION); + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_r_d] = + 2.*_PI_*sqrt(16./(15.*6.*3.)*tau_ini/dkappa_ini + +pth->thermodynamics_table[(pth->tt_size-1-index_tau)*pth->th_size+pth->index_th_g]); - rec_build_history(¶m, &rate_table, &twog_params, xe_output, Tm_output); + } - if (pth->thermodynamics_verbose > 0) - printf(" by Y. Ali-Haïmoud & C. Hirata\n"); + return _SUCCESS_; +} - /** - fill a few parameters in preco and pth */ - Nz=ppr->recfast_Nz0; +/** + * Calculate quantities relating to optical phenomena like kappa' and exp(-kappa) and the visibility function, + * optical depth (including dark matter photon interactions if necessary) + * + * @param ppr Input: pointer to precision structure + * @param pth Input/Output: pointer to thermodynamics structure + * @return the error status + */ - preco->rt_size = Nz; - preco->H0 = pba->H0 * _c_ / _Mpc_over_m_; - /* preco->H0 in inverse seconds (while pba->H0 is [H0/c] in inverse Mpcs) */ - preco->YHe = pth->YHe; - preco->Nnow = 3.*preco->H0*preco->H0*pba->Omega0_b*(1.-preco->YHe)/(8.*_PI_*_G_*_m_H_); - /* energy injection parameters */ - preco->annihilation = pth->annihilation; - preco->has_on_the_spot = pth->has_on_the_spot; - preco->annihilation_variation = pth->annihilation_variation; - preco->annihilation_z = pth->annihilation_z; - preco->annihilation_zmax = pth->annihilation_zmax; - preco->annihilation_zmin = pth->annihilation_zmin; - preco->decay = pth->decay; - preco->annihilation_f_halo = pth->annihilation_f_halo; - preco->annihilation_z_halo = pth->annihilation_z_halo; - pth->n_e=preco->Nnow; +int thermodynamics_calculate_opticals( + struct precision* ppr, + struct thermodynamics* pth + ) { - /** - allocate memory for thermodynamics interpolation tables (size known in advance) and fill it */ + /** Summary: */ - class_alloc(preco->recombination_table,preco->re_size*preco->rt_size*sizeof(double),pth->error_message); + /** Define local quantities */ + /* Visibility function value */ + double g; + /* kappa derivative values*/ + double dkappa,ddkappa,dddkappa,expmkappa; + int index_tau; - for(i=0; i second derivative with respect to tau of dkappa (in view of of spline interpolation) */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dkappa, + pth->index_th_dddkappa, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - /** - --> get redshift, corresponding results from hyrec, and background quantities */ + /** - --> first derivative with respect to tau of dkappa (using spline interpolation) */ + class_call(array_derive_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dkappa, + pth->index_th_dddkappa, + pth->index_th_ddkappa, + pth->error_message), + pth->error_message, + pth->error_message); - z = param.zstart * (1. - (double)(i+1) / (double)Nz); + /** - --> compute -kappa = [int_{tau_today}^{tau} dtau dkappa/dtau], store temporarily in column "g" */ + class_call(array_integrate_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dkappa, + pth->index_th_dddkappa, + pth->index_th_g, + pth->error_message), + pth->error_message, + pth->error_message); - /* get (xe,Tm) by interpolating in pre-computed tables */ - class_call(array_interpolate_cubic_equal(-log(1.+param.zstart), - param.dlna, - xe_output, - param.nz, - -log(1.+z), - &xe, - pth->error_message), + /** if there is idm_g, calculate its optical contributions */ + if (pth->has_idm_g == _TRUE_) { + /** - --> second derivative with respect to tau of dmu (in view of of spline interpolation) */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_g, + pth->index_th_dddmu_idm_g, + _SPLINE_EST_DERIV_, + pth->error_message), pth->error_message, pth->error_message); - class_call(array_interpolate_cubic_equal(-log(1.+param.zstart), - param.dlna, - Tm_output, - param.nz, - -log(1.+z), - &Tm, - pth->error_message), + /** - --> first derivative with respect to tau of dmu (using spline interpolation) */ + class_call(array_derive_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_g, + pth->index_th_dddmu_idm_g, + pth->index_th_ddmu_idm_g, + pth->error_message), pth->error_message, pth->error_message); - class_call(background_tau_of_z(pba, - z, - &tau), - pba->error_message, + /** - --> compute -mu = [int_{tau_today}^{tau} dtau dmu/dtau], store temporarily in column "exp_mu_idm_g" */ + class_call(array_integrate_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_g, + pth->index_th_dddmu_idm_g, + pth->index_th_exp_mu_idm_g, + pth->error_message), + pth->error_message, pth->error_message); - class_call(background_at_tau(pba, - tau, - pba->short_info, - pba->inter_normal, - &last_index_back, - pvecback), - pba->error_message, - pth->error_message); + } + /** - --> compute visibility: \f$ g= (d \kappa/d \tau) e^{- \kappa} \f$ */ - /* class_call(thermodynamics_energy_injection(ppr,pba,preco,z,&energy_rate,pth->error_message), - pth->error_message, - pth->error_message); - */ + /* loop on z (decreasing z, increasing time) */ + for (index_tau=pth->tt_size-1; index_tau>=0; index_tau--) { - /* Hz is H in inverse seconds (while pvecback returns [H0/c] in inverse Mpcs) */ - Hz=pvecback[pba->index_bg_H] * _c_ / _Mpc_over_m_; + dkappa = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa]; + ddkappa = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddkappa]; + dddkappa = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dddkappa]; + expmkappa = exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]); + + /* This would be the rate without accounting for idm_g : */ + /* pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_rate] = */ + /* sqrt(pow(dkappa,2)+pow(ddkappa/dkappa,2)+fabs(dddkappa/dkappa)); */ + + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_exp_m_kappa] = expmkappa; + + /* presence of idm_g modifies visibility function */ + if (pth->has_idm_g == _TRUE_) { + dkappa += pth->thermodynamics_table[index_tau*pth->th_size + pth->index_th_dmu_idm_g]; + ddkappa += pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddmu_idm_g]; + dddkappa += pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dddmu_idm_g]; + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_exp_mu_idm_g] = + exp(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_exp_mu_idm_g]); /* we previously calculated -mu_idm_g and stored it here */ + expmkappa *= pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_exp_mu_idm_g]; + } - /** - --> store the results in the table */ + /** - ---> compute g */ + g = dkappa * expmkappa; - /* results are obtained in order of decreasing z, and stored in order of growing z */ + /* for some very extreme models, in the last line, the exponential of a large negative number could go beyond + * the range covered by the "double" representation numbers, and be set to zero. To avoid a division by zero in + * the next steps, it is then better to set it to the minimum non-zero double (this has no impact on observables). */ + if (g==0.) g=DBL_MIN; - /* redshift */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_z)=z; + /** - ---> compute g' (the plus sign of the second term is correct, see def of -kappa in thermodynamics module!) */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dg] = + (ddkappa + dkappa * dkappa) * expmkappa; - /* ionization fraction */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_xe)=xe; + /** - ---> compute g'' */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddg] = + (dddkappa + dkappa * ddkappa * 3. + dkappa * dkappa * dkappa ) * expmkappa; - /* Tb */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_Tb)=Tm; + /** - ---> store g */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g] = g; - /* cb2 = (k_B/mu) Tb (1-1/3 dlnTb/dlna) = (k_B/mu) Tb (1+1/3 (1+z) dlnTb/dz) - with (1+z)dlnTb/dz= - [dlnTb/dlna] */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_cb2) - = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * pth->YHe + xe * (1.-pth->YHe)) * Tm * (1. - rec_dTmdlna(xe, Tm, pba->T_cmb*(1.+z), Hz, param.fHe, param.nH0*pow((1+z),3)*1e-6, energy_injection_rate(¶m,z)) / Tm / 3.); + /** - ---> compute variation rate */ + class_test(pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_dkappa] == 0., + pth->error_message, + "variation rate diverges"); - /* dkappa/dtau = a n_e x_e sigma_T = a^{-2} n_e(today) x_e sigma_T (in units of 1/Mpc) */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_dkappadtau) - = (1.+z) * (1.+z) * preco->Nnow * xe * _sigma_ * _Mpc_over_m_; + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_rate] = + sqrt(pow(dkappa,2)+pow(ddkappa/dkappa,2)+fabs(dddkappa/dkappa)); } - /* Cleanup */ - - free(buffer); + /** - smooth the rate (details of smoothing unimportant: only the + order of magnitude of the rate matters) */ + class_call(array_smooth(pth->thermodynamics_table, + pth->th_size, + pth->tt_size, + pth->index_th_rate, + ppr->thermo_rate_smoothing_radius, + pth->error_message), + pth->error_message, + pth->error_message); -#else + /** - --> derivatives of baryon sound speed (only computed if some non-minimal tight-coupling schemes is requested) */ + if (pth->compute_cb2_derivatives == _TRUE_) { - class_stop(pth->error_message, - "you compiled without including the HyRec code, and now wish to use it. Either set the input parameter 'recombination' to something else than 'HyRec', or recompile after setting in the Makefile the appropriate path HYREC=... "); + /** - ---> second derivative with respect to tau of cb2 */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_cb2, + pth->index_th_ddcb2, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); -#endif + /** - ---> first derivative with respect to tau of cb2 (using spline interpolation) */ + class_call(array_derive_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_cb2, + pth->index_th_ddcb2, + pth->index_th_dcb2, + pth->error_message), + pth->error_message, + pth->error_message); + } return _SUCCESS_; } /** - * Integrate thermodynamics with RECFAST. - * - * Integrate thermodynamics with RECFAST, allocate and fill the part - * of the thermodynamics interpolation table (the rest is filled in - * thermodynamics_init()). Called once by - * thermodynamics_recombination, from thermodynamics_init(). - * - * - ******************************************************************************* - * RECFAST is an integrator for Cosmic Recombination of Hydrogen and Helium, - * developed by Douglas Scott (dscott@astro.ubc.ca) - * based on calculations in the paper Seager, Sasselov & Scott - * (ApJ, 523, L1, 1999). - * and "fudge" updates in Wong, Moss & Scott (2008). - * - * Permission to use, copy, modify and distribute without fee or royalty at - * any tier, this software and its documentation, for any purpose and without - * fee or royalty is hereby granted, provided that you agree to comply with - * the following copyright notice and statements, including the disclaimer, - * and that the same appear on ALL copies of the software and documentation, - * including modifications that you make for internal use or for distribution: - * - * Copyright 1999-2010 by University of British Columbia. All rights reserved. - * - * THIS SOFTWARE IS PROVIDED "AS IS", AND U.B.C. MAKES NO - * REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED. - * BY WAY OF EXAMPLE, BUT NOT LIMITATION, - * U.B.C. MAKES NO REPRESENTATIONS OR WARRANTIES OF - * MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT - * THE USE OF THE LICENSED SOFTWARE OR DOCUMENTATION WILL NOT INFRINGE - * ANY THIRD PARTY PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS. - ******************************************************************************* - * - * Version 1.5: includes extra fitting function from - * Rubino-Martin et al. arXiv:0910.4383v1 [astro-ph.CO] + * Calculate dark optical depths, idm_b interation rate, and other quantities relevant + * for idm and idr. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermo structure + * @param pvecback Input: Initialized vector of background quantities * - * @param ppr Input: pointer to precision structure - * @param pba Input: pointer to background structure - * @param pth Input: pointer to thermodynamics structure - * @param preco Output: pointer to recombination structure - * @param pvecback Input: pointer to an allocated (but empty) vector of background variables * @return the error status - */ - -int thermodynamics_recombination_with_recfast( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct recombination * preco, - double * pvecback - ) { - - /** Summary: */ - - /** - define local variables */ - - /* vector of variables to be integrated: x_H, x_He, Tmat */ - double y[3],dy[3]; + **/ +int thermodynamics_calculate_idm_and_idr_quantities(struct precision* ppr, + struct background * pba, + struct thermodynamics * pth, + double* pvecback){ - /* other recfast variables */ - double OmegaB,zinitial,x_He0,x0; - double x_H0=0.; - double z,mu_H,Lalpha,Lalpha_He,DeltaB,DeltaB_He; - double zstart,zend,rhs; - int i,Nz; + /** Summary: **/ - /* introduced by JL for smoothing the various steps */ - double x0_previous,x0_new,s,weight; - - /* contains all quantities relevant for the integration algorithm */ - struct generic_integrator_workspace gi; - - /* contains all fixed parameters which should be passed to thermodynamics_derivs_with_recfast */ - struct thermodynamics_parameters_and_workspace tpaw; - - /** - allocate memory for thermodynamics interpolation tables (size known in advance) */ - preco->rt_size = ppr->recfast_Nz0; - class_alloc(preco->recombination_table,preco->re_size*preco->rt_size*sizeof(double),pth->error_message); - - /** - initialize generic integrator with initialize_generic_integrator() */ - class_call(initialize_generic_integrator(_RECFAST_INTEG_SIZE_, &gi), - gi.error_message, - pth->error_message); - - /** - read a few precision/cosmological parameters */ + /** - Define local variables **/ + int index_tau_fs; + int index_tau; - /* Nz */ - Nz=ppr->recfast_Nz0; + /** - Calculate optical functions tau_idm_dr, tau_idr, g_idm_dr */ + if (pth->has_idm_dr == _TRUE_) { + /* - second derivative of idm_dr interaction rate (with idr), [Sinv*dmu_idm_dr]'', stored temporarily in column dddmu */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddmu_idm_dr, + pth->index_th_dddmu_idm_dr, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - /* preco->H0 is H0 in inverse seconds (while pba->H0 is [H0/c] in inverse Mpcs) */ - preco->H0 = pba->H0 * _c_ / _Mpc_over_m_; + /* - compute optical depth of idm, tau_idm_dr = [int_{tau_today}^{tau} dtau [Sinv*dmu_idm_dr] ].*/ + /* This step gives -tau_idm_dr. The resulty is mutiplied by -1 later on. */ + class_call(array_integrate_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_ddmu_idm_dr, + pth->index_th_dddmu_idm_dr, + pth->index_th_tau_idm_dr, + pth->error_message), + pth->error_message, + pth->error_message); - /* Omega_b */ - OmegaB = pba->Omega0_b; + /* - second derivative of idr interaction rate (with idm_dr), [dmu_idm_idr]'', stored temporarily in column dddmu */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_dr, + pth->index_th_dddmu_idm_dr, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - /* Yp */ - preco->YHe = pth->YHe; + /* - compute optical depth of idr, tau_idr = [int_{tau_today}^{tau} dtau [dmu_idm_idr] ]. */ + /* This step gives -tau_idr. The resulty is mutiplied by -1 later on. */ + class_call(array_integrate_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_dr, + pth->index_th_dddmu_idm_dr, + pth->index_th_tau_idr, + pth->error_message), + pth->error_message, + pth->error_message); - /* Tnow */ - preco->Tnow = pba->T_cmb; - /* z_initial */ - zinitial=ppr->recfast_z_initial; + /* - restore correct sign for idm_dr and idr optical depth, and calculate idm_dr visibility function */ + /* loop on z (decreasing z, increasing time) */ - /* H_frac */ - preco->H_frac = ppr->recfast_H_frac; + for (index_tau=pth->tt_size-1; index_tau>=0; index_tau--) { + /* - --> restore the correct sign for tau_idm_dr */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_tau_idm_dr] *= -1.; - /* H fudging */ - class_test((ppr->recfast_Hswitch != _TRUE_) && (ppr->recfast_Hswitch != _FALSE_), - pth->error_message, - "RECFAST error: unknown H fudging scheme"); - preco->fu = ppr->recfast_fudge_H; - if (ppr->recfast_Hswitch == _TRUE_) - preco->fu += ppr->recfast_delta_fudge_H; + /* - --> restore the correct sign for tau_idr */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_tau_idr] *= -1.; - /* He fudging */ - class_test((ppr->recfast_Heswitch < 0) || (ppr->recfast_Heswitch > 6), - pth->error_message, - "RECFAST error: unknown He fudging scheme"); - - /* related quantities */ - z=zinitial; - mu_H = 1./(1.-preco->YHe); - //mu_T = _not4_ /(_not4_ - (_not4_-1.)*preco->YHe); /* recfast 1.4*/ - preco->fHe = preco->YHe/(_not4_ *(1.-preco->YHe)); /* recfast 1.4 */ - preco->Nnow = 3.*preco->H0*preco->H0*OmegaB/(8.*_PI_*_G_*mu_H*_m_H_); - pth->n_e = preco->Nnow; - - /* energy injection parameters */ - preco->annihilation = pth->annihilation; - preco->has_on_the_spot = pth->has_on_the_spot; - preco->annihilation_variation = pth->annihilation_variation; - preco->annihilation_z = pth->annihilation_z; - preco->annihilation_zmax = pth->annihilation_zmax; - preco->annihilation_zmin = pth->annihilation_zmin; - preco->decay = pth->decay; - preco->annihilation_f_halo = pth->annihilation_f_halo; - preco->annihilation_z_halo = pth->annihilation_z_halo; - - /* quantities related to constants defined in thermodynamics.h */ - //n = preco->Nnow * pow((1.+z),3); - Lalpha = 1./_L_H_alpha_; - Lalpha_He = 1./_L_He_2p_; - DeltaB = _h_P_*_c_*(_L_H_ion_-_L_H_alpha_); - preco->CDB = DeltaB/_k_B_; - DeltaB_He = _h_P_*_c_*(_L_He1_ion_-_L_He_2s_); - preco->CDB_He = DeltaB_He/_k_B_; - preco->CB1 = _h_P_*_c_*_L_H_ion_/_k_B_; - preco->CB1_He1 = _h_P_*_c_*_L_He1_ion_/_k_B_; - preco->CB1_He2 = _h_P_*_c_*_L_He2_ion_/_k_B_; - preco->CR = 2.*_PI_*(_m_e_/_h_P_)*(_k_B_/_h_P_); - preco->CK = pow(Lalpha,3)/(8.*_PI_); - preco->CK_He = pow(Lalpha_He,3)/(8.*_PI_); - preco->CL = _c_*_h_P_/(_k_B_*Lalpha); - preco->CL_He = _c_*_h_P_/(_k_B_/_L_He_2s_); - preco->CT = (8./3.) * (_sigma_/(_m_e_*_c_)) * - (8.*pow(_PI_,5)*pow(_k_B_,4)/ 15./ pow(_h_P_,3)/pow(_c_,3)); - - preco->Bfact = _h_P_*_c_*(_L_He_2p_-_L_He_2s_)/_k_B_; + /* - --> visibility function for idm_dr : g_idm_dr = [Sinv*dmu_idm_dr] * exp(-tau_idm_dr) */ + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g_idm_dr] = + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_ddmu_idm_dr] + * exp(-pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_tau_idm_dr]); + } - /** - define the fields of the 'thermodynamics parameter and workspace' structure */ - tpaw.pba = pba; - tpaw.ppr = ppr; - tpaw.preco = preco; - tpaw.pvecback = pvecback; + /* - fill columns for ddmu_idm_dr and dddmu_idm_dr with true values, and compute idm_dr temperature and sound speed */ + /* - --> second derivative with respect to tau of dmu_idm_dr (in view of spline interpolation) */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_dr, + pth->index_th_dddmu_idm_dr, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - /** - impose initial conditions at early times */ + /* - --> first derivative with respect to tau of dmu_idm_dr (using spline interpolation) */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_dr, + pth->index_th_dddmu_idm_dr, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - class_test(zinitial < ppr->recfast_z_He_3, - pth->error_message, - "increase zinitial, otherwise should get initial conditions from recfast's get_init routine (less precise anyway)"); + /* - --> first derivative with respect to tau of dmu_idm_dr (using spline interpolation) */ + class_call(array_derive_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_dmu_idm_dr, + pth->index_th_dddmu_idm_dr, + pth->index_th_ddmu_idm_dr, + pth->error_message), + pth->error_message, + pth->error_message); - y[0] = 1.; - y[1] = 1.; - x0 = 1.+2.*preco->fHe; - y[2] = preco->Tnow*(1.+z); + } - /** - loop over redshift steps Nz; integrate over each step with - generic_integrator(), store the results in the table using - thermodynamics_derivs_with_recfast()*/ + /** - Find interacting dark radiation free-streaming time */ + /* First, find index of recombination, or free streaming for ordinary radiation */ + index_tau = pth->tt_size - 1; + while(1./pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_dkappa]/pth->tau_table[index_tau] < ppr->radiation_streaming_trigger_tau_c_over_tau && index_tau > 0) + index_tau--; + index_tau_fs = index_tau; - for(i=0; i has_idm_dr == _TRUE_) { - zstart = zinitial * (double)(Nz-i) / (double)Nz; - zend = zinitial * (double)(Nz-i-1) / (double)Nz; + if (pth->n_index_idm_dr>=2) { + index_tau=index_tau_fs-1; + while ((1./pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_dmu_idm_dr]/pth->tau_table[index_tau] + < ppr->idr_streaming_trigger_tau_c_over_tau) && index_tau > 0) + index_tau--; + } + else { + index_tau=0; + while ((1./pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_dmu_idm_dr]/pth->tau_table[index_tau] + < ppr->idr_streaming_trigger_tau_c_over_tau) && index_tau < pth->tt_size-1) + index_tau++; + } - z = zend; + /* tau_idm_dr_fs = tau; */ + pth->tau_idr_free_streaming = pth->tau_table[index_tau]; + } + /* case of idr alone without idm_dr: Set idr free streaming simply to normal free-streaming */ + else { + index_tau= (index_tau_fs > 0 ? index_tau_fs - 1: 0); + pth->tau_idr_free_streaming = pth->tau_table[index_tau]; + } - /** - --> first approximation: H and Helium fully ionized */ + if (pth->has_idm_b == _TRUE_) { + /** - --> second derivative with respect to tau of R_idm_b (in view of spline interpolation) */ + class_call(array_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_R_idm_b, + pth->index_th_ddR_idm_b, + _SPLINE_EST_DERIV_, + pth->error_message), + pth->error_message, + pth->error_message); - if (z > ppr->recfast_z_He_1+ppr->recfast_delta_z_He_1) { - x_H0 = 1.; - x_He0 = 1.; - x0 = 1.+2.*preco->fHe; - y[0] = x_H0; - y[1] = x_He0; - y[2] = preco->Tnow*(1.+z); - } + /** - --> first derivative with respect to tau of R_idm_b (using spline interpolation) */ + class_call(array_derive_spline_table_line_to_line(pth->tau_table, + pth->tt_size, + pth->thermodynamics_table, + pth->th_size, + pth->index_th_R_idm_b, + pth->index_th_ddR_idm_b, + pth->index_th_dR_idm_b, + pth->error_message), + pth->error_message, + pth->error_message); + } - /** - --> second approximation: first Helium recombination (analytic approximation) */ + return _SUCCESS_; - else if (z > ppr->recfast_z_He_2+ppr->recfast_delta_z_He_2) { - x_H0 = 1.; - x_He0 = 1.; +} - rhs = exp( 1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1_He2/(preco->Tnow*(1.+z)) ) / preco->Nnow; - /* smoothed transition */ - if (z > ppr->recfast_z_He_1-ppr->recfast_delta_z_He_1) { - x0_previous = 1.+2.*preco->fHe; - x0_new = 0.5*(sqrt(pow((rhs-1.-preco->fHe),2) + 4.*(1.+2.*preco->fHe)*rhs) - (rhs-1.-preco->fHe)); +/** + * Calculate various quantities at the time of recombination, as well + * as the time tau_cut at which visibility gets negligible and one can + * assume pure free-streaming. + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @param pvecback Input: pointer to some allocated pvecback + * @return the error status + */ - /* get s from -1 to 1 */ - s = (ppr->recfast_z_He_1-z)/ppr->recfast_delta_z_He_1; - /* infer f1(s) = smooth function interpolating from 0 to 1 */ - weight = f1(s); +int thermodynamics_calculate_recombination_quantities( + struct precision* ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback + ) { - x0 = weight*x0_new+(1.-weight)*x0_previous; - } - /* transition finished */ - else { - x0 = 0.5*(sqrt(pow((rhs-1.-preco->fHe),2) + 4.*(1.+2.*preco->fHe)*rhs) - (rhs-1.-preco->fHe)); - } + /** Summary: */ - y[0] = x_H0; - y[1] = x_He0; - y[2] = preco->Tnow*(1.+z); - } + /** Define local variables */ + double g_max; - /** - --> third approximation: first Helium recombination completed */ + int index_tau; + int index_tau_max; + int last_index_back=0; - else if (z > ppr->recfast_z_He_3+ppr->recfast_delta_z_He_3) { - x_H0 = 1.; - x_He0 = 1.; + /** - find maximum of g */ + index_tau=pth->tt_size-1; + while (pth->z_table[index_tau]>_Z_REC_MAX_) { + index_tau--; + } - /* smoothed transition */ - if (z > ppr->recfast_z_He_2-ppr->recfast_delta_z_He_2) { - rhs = exp( 1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1_He2/(preco->Tnow*(1.+z)) ) / preco->Nnow; - x0_previous = 0.5*(sqrt(pow((rhs-1.-preco->fHe),2) + 4.*(1.+2.*preco->fHe)*rhs) - (rhs-1.-preco->fHe)); - x0_new = 1. + preco->fHe; - /* get s from -1 to 1 */ - s = (ppr->recfast_z_He_2-z)/ppr->recfast_delta_z_He_2; - /* infer f1(s) = smooth function interpolating from 0 to 1 */ - weight = f1(s); + class_test(pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g] > + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g], + pth->error_message, + "The visibility function is not increasing at redshift _Z_REC_MAX_=%g, which is the value imposed in thermodynamics.h\n This implies that recombination must have already happened at a too early time.",_Z_REC_MAX_); - x0 = weight*x0_new+(1.-weight)*x0_previous; + while (pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g] <= + pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]) { + index_tau--; + } - } - /* transition finished */ - else { - x0 = 1.+preco->fHe; - } + g_max = pth->thermodynamics_table[index_tau*pth->th_size+pth->index_th_g]; + index_tau_max = index_tau; - y[0] = x_H0; - y[1] = x_He0; - y[2] = preco->Tnow*(1.+z); - } + /* approximation for maximum of g, using cubic interpolation, assuming equally spaced z's */ + pth->z_rec=pth->z_table[index_tau+1]+0.5*(pth->z_table[index_tau+1]-pth->z_table[index_tau]) + *(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g] + -pth->thermodynamics_table[(index_tau+2)*pth->th_size+pth->index_th_g]) + /(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g] + -2.*pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_g] + +pth->thermodynamics_table[(index_tau+2)*pth->th_size+pth->index_th_g] + ); - /** - --> fourth approximation: second Helium recombination starts (analytic approximation) */ + class_test(pth->z_rec+ppr->smallest_allowed_variation >= _Z_REC_MAX_, + pth->error_message, + "recombination (at z=%g) happens before _Z_REC_MAX_=%g, which is the maximum value imposed in thermodynamics.h",pth->z_rec+ppr->smallest_allowed_variation,_Z_REC_MAX_); - else if (y[1] > ppr->recfast_x_He0_trigger) { - x_H0 = 1.; + class_test(pth->z_rec-ppr->smallest_allowed_variation <= _Z_REC_MIN_, + pth->error_message, + "recombination (at z=%g) happens after _Z_REC_MIN_=%g, which is the minimum value imposed in thermodynamics.h",pth->z_rec-ppr->smallest_allowed_variation,_Z_REC_MIN_); - rhs = 4.*exp(1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1_He1/(preco->Tnow*(1.+z)))/preco->Nnow; - x_He0 = 0.5*(sqrt(pow((rhs-1.),2) + 4.*(1.+preco->fHe)*rhs )- (rhs-1.)); + /** - find conformal recombination time using background_tau_of_z **/ - /* smoothed transition */ - if (z > ppr->recfast_z_He_3-ppr->recfast_delta_z_He_3) { - x0_previous = 1. + preco->fHe; - x0_new = x_He0; - /* get s from -1 to 1 */ - s = (ppr->recfast_z_He_3-z)/ppr->recfast_delta_z_He_3; - /* infer f1(x) = smooth function interpolating from 0 to 1 */ - weight = f1(s); + class_call(background_tau_of_z(pba,pth->z_rec,&(pth->tau_rec)), + pba->error_message, + pth->error_message); - x0 = weight*x0_new+(1.-weight)*x0_previous; - } - /* transition finished */ - else { - x0 = x_He0; - } + class_call(background_at_z(pba,pth->z_rec, long_info, inter_normal, &last_index_back, pvecback), + pba->error_message, + pth->error_message); - x_He0 = (x0-1.)/preco->fHe; - y[0] = x_H0; - y[1] = x_He0; - y[2] = preco->Tnow*(1.+z); - } + pth->rs_rec=pvecback[pba->index_bg_rs]; + pth->ds_rec=pth->rs_rec/(1.+pth->z_rec); + pth->da_rec=pvecback[pba->index_bg_ang_distance]; + pth->ra_rec=pth->da_rec*(1.+pth->z_rec); + pth->angular_rescaling=pth->ra_rec/(pba->conformal_age-pth->tau_rec); - /** - --> fifth approximation: second Helium recombination (full - evolution for Helium), H recombination starts (analytic - approximation) */ + /** - find damping scale at recombination (using linear interpolation) */ + if (pth->compute_damping_scale == _TRUE_) { - else if (y[0] > ppr->recfast_x_H0_trigger) { + pth->rd_rec = (pth->z_table[index_tau+1]-pth->z_rec)/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_r_d] + +(pth->z_rec-pth->z_table[index_tau])/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_r_d]; - rhs = exp(1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1/(preco->Tnow*(1.+z)))/preco->Nnow; - x_H0 = 0.5*(sqrt(pow(rhs,2)+4.*rhs) - rhs); + } - class_call(generic_integrator(thermodynamics_derivs_with_recfast, - zstart, - zend, - y, - &tpaw, - ppr->tol_thermo_integration, - ppr->smallest_allowed_variation, - &gi), - gi.error_message, - pth->error_message); + /** - find time (always after recombination) at which tau_c/tau falls below some threshold, defining tau_free_streaming */ + while (1./pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_dkappa]/pth->tau_table[index_tau] + < ppr->radiation_streaming_trigger_tau_c_over_tau) { - y[0] = x_H0; + index_tau--; + class_test(index_tau<0, pth->error_message,"Could not find a time at which photons free-stream. This is very suspicious. Aborting.\n"); - /* smoothed transition */ - if (ppr->recfast_x_He0_trigger - y[1] < ppr->recfast_x_He0_trigger_delta) { - rhs = 4.*exp(1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1_He1/(preco->Tnow*(1.+z)))/preco->Nnow; - x0_previous = 0.5*(sqrt(pow((rhs-1.),2) + 4.*(1.+preco->fHe)*rhs )- (rhs-1.)); - x0_new = y[0] + preco->fHe*y[1]; - /* get s from 0 to 1 */ - s = (ppr->recfast_x_He0_trigger - y[1])/ppr->recfast_x_He0_trigger_delta; - /* infer f2(x) = smooth function interpolating from 0 to 1 */ - weight = f2(s); + } - x0 = weight*x0_new+(1.-weight)*x0_previous; - } - /* transition finished */ - else { - x0 = y[0] + preco->fHe*y[1]; - } + pth->tau_free_streaming = pth->tau_table[index_tau]; - } + /** - find time above which visibility falls below a given fraction of its maximum */ + index_tau=index_tau_max; + while ((pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_g] > + g_max * ppr->neglect_CMB_sources_below_visibility) + && (index_tau > 0)) + index_tau--; - /** - --> last case: full evolution for H and Helium */ + class_call(background_tau_of_z(pba,pth->z_table[index_tau],&(pth->tau_cut)), + pba->error_message, + pth->error_message); - else { + /** - find z_star (when optical depth kappa crosses one, using linear + interpolation) and sound horizon at that time */ - /* quantities used for smoothed transition */ - if (ppr->recfast_x_H0_trigger - y[0] < ppr->recfast_x_H0_trigger_delta) { - rhs = exp(1.5*log(preco->CR*preco->Tnow/(1.+z)) - preco->CB1/(preco->Tnow*(1.+z)))/preco->Nnow; - x_H0 = 0.5*(sqrt(pow(rhs,2)+4.*rhs) - rhs); - } + index_tau=0; + while ((pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_exp_m_kappa] > 1./_E_) && (index_tau < pth->tt_size)) + index_tau++; - class_call(generic_integrator(thermodynamics_derivs_with_recfast, - zstart, - zend, - y, - &tpaw, - ppr->tol_thermo_integration, - ppr->smallest_allowed_variation, - &gi), - gi.error_message, - pth->error_message); + pth->z_star = pth->z_table[index_tau-1]+ + (1./_E_-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_exp_m_kappa]) + /(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_exp_m_kappa]-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_exp_m_kappa]) + *(pth->z_table[index_tau]-pth->z_table[index_tau-1]); - /* smoothed transition */ - if (ppr->recfast_x_H0_trigger - y[0] < ppr->recfast_x_H0_trigger_delta) { - /* get s from 0 to 1 */ - s = (ppr->recfast_x_H0_trigger - y[0])/ppr->recfast_x_H0_trigger_delta; - /* infer f2(s) = smooth function interpolating from 0 to 1 */ - weight = f2(s); + class_call(background_tau_of_z(pba,pth->z_star,&(pth->tau_star)), + pba->error_message, + pth->error_message); - x0 = weight*y[0]+(1.-weight)*x_H0 + preco->fHe*y[1]; + class_call(background_at_tau(pba,pth->tau_star, long_info, inter_normal, &last_index_back, pvecback), + pba->error_message, + pth->error_message); - } - /* transition finished */ - else { - x0 = y[0] + preco->fHe*y[1]; - } - } + pth->rs_star=pvecback[pba->index_bg_rs]; + pth->ds_star=pth->rs_star/(1.+pth->z_star); + pth->da_star=pvecback[pba->index_bg_ang_distance]; + pth->ra_star=pth->da_star*(1.+pth->z_star); - /** - --> store the results in the table */ - /* results are obtained in order of decreasing z, and stored in order of growing z */ + if (pth->compute_damping_scale == _TRUE_) { - /* redshift */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_z)=zend; + pth->rd_star = (pth->z_table[index_tau+1]-pth->z_star)/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_r_d] + +(pth->z_star-pth->z_table[index_tau])/(pth->z_table[index_tau+1]-pth->z_table[index_tau])*pth->thermodynamics_table[(index_tau+1)*pth->th_size+pth->index_th_r_d]; - /* ionization fraction */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_xe)=x0; + } - /* Tb */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_Tb)=y[2]; + return _SUCCESS_; +} - /* get dTb/dz=dy[2] */ - class_call(thermodynamics_derivs_with_recfast(zend, y, dy, &tpaw,pth->error_message), - pth->error_message, - pth->error_message); +/** + * Calculate various quantities at the time of ending of baryon drag (It is precisely where tau_d crosses one) + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input/Output: pointer to initialized thermodynamics structure + * @param pvecback Input: pointer to some allocated pvecback + * @return the error status + */ - /* cb2 = (k_B/mu) Tb (1-1/3 dlnTb/dlna) = (k_B/mu) Tb (1+1/3 (1+z) dlnTb/dz) */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_cb2) - = _k_B_ / ( _c_ * _c_ * _m_H_ ) * (1. + (1./_not4_ - 1.) * preco->YHe + x0 * (1.-preco->YHe)) * y[2] * (1. + (1.+zend) * dy[2] / y[2] / 3.); +int thermodynamics_calculate_drag_quantities( + struct precision* ppr, + struct background * pba, + struct thermodynamics* pth, + double* pvecback + ) { - /* dkappa/dtau = a n_e x_e sigma_T = a^{-2} n_e(today) x_e sigma_T (in units of 1/Mpc) */ - *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_dkappadtau) - = (1.+zend) * (1.+zend) * preco->Nnow * x0 * _sigma_ * _Mpc_over_m_; + /** Summary: */ - /* fprintf(stdout,"%e %e %e %e %e %e\n", */ - /* *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_z), */ - /* *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_xe), */ - /* *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_Tb), */ - /* (1.+zend) * dy[2], */ - /* *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_cb2), */ - /* *(preco->recombination_table+(Nz-i-1)*preco->re_size+preco->index_re_dkappadtau) */ - /* ); */ + /** Define local variables */ + int index_tau; + int last_index_back; + /** - find baryon drag time (when tau_d crosses one, using linear interpolation) and sound horizon at that time */ + index_tau=0; + while ((pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_tau_d] < 1.) && (index_tau < pth->tt_size)) { + index_tau++; } - /** - cleanup generic integrator with cleanup_generic_integrator() */ + pth->z_d = pth->z_table[index_tau-1]+ + (1.-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_tau_d]) + /(pth->thermodynamics_table[(index_tau)*pth->th_size+pth->index_th_tau_d]-pth->thermodynamics_table[(index_tau-1)*pth->th_size+pth->index_th_tau_d]) + *(pth->z_table[index_tau]-pth->z_table[index_tau-1]); + + class_call(background_tau_of_z(pba,pth->z_d,&(pth->tau_d)), + pba->error_message, + pth->error_message); - class_call(cleanup_generic_integrator(&gi), - gi.error_message, + class_call(background_at_z(pba,pth->z_d, long_info, inter_normal, &last_index_back, pvecback), + pba->error_message, pth->error_message); + pth->rs_d=pvecback[pba->index_bg_rs]; + pth->ds_d=pth->rs_d/(1.+pth->z_d); + return _SUCCESS_; } /** - * Subroutine evaluating the derivative with respect to redshift of - * thermodynamical quantities (from RECFAST version 1.4). + * Compute ionization fractions with the RecFast of HyRec algorithm. * - * Computes derivatives of the three variables to integrate: \f$ d x_H - * / dz, d x_{He} / dz, d T_{mat} / dz \f$. + * Compute ionization fractions using either the vector y or, in some + * approximation schemes, some analytic approximations. The output of + * this function is located in the ptw->ptdw workspace. We need to + * assign: * - * This is one of the few functions in the code which are passed to - * the generic_integrator() routine. Since generic_integrator() - * should work with functions passed from various modules, the format - * of the arguments is a bit special: + * - in the RecFast scheme only: + * -- ptdw->x_H, ptdw-> x_He (all neglecting reionisation, which is accounted for later on); * - * - fixed parameters and workspaces are passed through a generic - * pointer. Here, this pointer contains the precision, background - * and recombination structures, plus a background vector, but - * generic_integrator() doesn't know its fine structure. + * - in both schemes: + * -- ptdw->x_noreio (neglecting reionisation); + * -- ptdw->x_reio (if reionisation is going on; obtained by calling + * thermodynamics_reionization_function() and adding something to ptdw->x_noreio) * - * - the error management is a bit special: errors are not written as - * usual to pth->error_message, but to a generic error_message - * passed in the list of arguments. - * - * @param z Input: redshift - * @param y Input: vector of variable to integrate - * @param dy Output: its derivative (already allocated) - * @param parameters_and_workspace Input: pointer to fixed parameters (e.g. indices) and workspace (already allocated) - * @param error_message Output: error message + * @param z Input: redshift + * @param y Input: vector of quantities to integrate with evolver + * @param pth Input: pointer to thermodynamics structure + * @param pba Input: pointer to background structure + * @param ptw Input/Output: pointer to thermo workspace. Contains output for x, ... + * @param current_ap Input: index of current approximation scheme + * @return the error status */ -int thermodynamics_derivs_with_recfast( - double z, - double * y, - double * dy, - void * parameters_and_workspace, - ErrorMsg error_message - ) { - +int thermodynamics_ionization_fractions( + double z, + double * y, + struct background * pba, + struct thermodynamics * pth, + struct thermo_workspace * ptw, + int current_ap + ) { - /* define local variables */ - - double x,n,n_He,Trad,Tmat,x_H,x_He,Hz,dHdz,epsilon; - double Rup,Rdown,K,K_He,Rup_He,Rdown_He,He_Boltz; - double timeTh,timeH; - double sq_0,sq_1; - - /* new in recfast 1.4: */ - double Rdown_trip,Rup_trip,tauHe_s,pHe_s,Doppler,gamma_2Ps,pb,qb,AHcon; - double tauHe_t,pHe_t,CL_PSt,gamma_2Pt; - double CfHe_t=0.; - int Heflag; - - struct thermodynamics_parameters_and_workspace * ptpaw; - struct precision * ppr; - struct background * pba; - struct recombination * preco; - double * pvecback; + /** Summary: */ - /* used for energy injection from dark matter */ - double C; - //double C_He; - double energy_rate; + /** Define local variables */ + struct thermo_diffeq_workspace * ptdw = ptw->ptdw; + struct thermo_vector * ptv = ptdw->ptv; - double tau; - double chi_heat; - double chi_ion_H; - int last_index_back; + /* Thermo quantities */ + double x_H, x_He, xHeII, x=0., Tmat; + /* Analytical quantities */ + double rhs, sqrt_val; - ptpaw = parameters_and_workspace; - ppr = ptpaw->ppr; - pba = ptpaw->pba; - preco = ptpaw->preco; - pvecback = ptpaw->pvecback; + /* Varying fundamental constants (according to 1705.03925) */ + double rescale_rhs = 1., rescale_T = 1.; + double alpha = 1., me = 1.; - x_H = y[0]; - x_He = y[1]; - x = x_H + preco->fHe * x_He; - Tmat = y[2]; + if (pth->has_varconst == _TRUE_) { + class_call(background_varconst_of_z(pba, z, &alpha, &me), + pba->error_message, + pth->error_message); + rescale_rhs = alpha*alpha*alpha*me*me*me; + rescale_T = 1./alpha/alpha/me; + } - n = preco->Nnow * (1.+z) * (1.+z) * (1.+z); - n_He = preco->fHe * n; - Trad = preco->Tnow * (1.+z); + /** - Calculate x_noreio from Recfast/Hyrec in each approximation + regime. Store the results in the workspace. */ + /** - --> For credits, see external/wrap_recfast.c */ - class_call(background_tau_of_z(pba, - z, - &tau), - pba->error_message, - error_message); + /* Set Tmat from the y vector (it is always evolved). */ + Tmat = y[ptv->index_ti_D_Tmat] + ptw->Tcmb*(1.+z); + if (pth->has_varconst == _TRUE_) { + Tmat *= rescale_T; + } - class_call(background_at_tau(pba, - tau, - pba->short_info, - pba->inter_normal, - &last_index_back, - pvecback), - pba->error_message, - error_message); + /** - --> first regime: H and Helium fully ionized */ + if (current_ap == ptdw->index_ap_brec || (ptw->has_ap_idmtca && current_ap == ptdw->index_ap_idmtca)) { - class_call(thermodynamics_energy_injection(ppr,pba,preco,z,&energy_rate,error_message), - error_message, - error_message); + /* This is equivalent to the formula for HeIII --> HeII in Saha, just using rhs' = 1/rhs */ + rhs = ptw->SIunit_nH0/exp( 1.5*log(ptw->const_NR_numberdens*Tmat/(1.+z)/(1.+z)) - ptw->const_Tion_HeII/Tmat ); + if (pth->has_varconst == _TRUE_) { + rhs /= rescale_rhs; + } - /* Hz is H in inverse seconds (while pvecback returns [H0/c] in inverse Mpcs) */ - Hz=pvecback[pba->index_bg_H]* _c_ / _Mpc_over_m_; + sqrt_val = sqrt(pow(1.-rhs*(1.+ptw->fHe),2) + 4.*rhs*(1.+2*ptw->fHe)); - Rdown=1.e-19*_a_PPB_*pow((Tmat/1.e4),_b_PPB_)/(1.+_c_PPB_*pow((Tmat/1.e4),_d_PPB_)); - Rup = Rdown * pow((preco->CR*Tmat),1.5)*exp(-preco->CDB/Tmat); + x = 2.*(1+2.*ptw->fHe)/(1.-rhs*(1.+ptw->fHe) + sqrt_val); - sq_0 = sqrt(Tmat/_T_0_); - sq_1 = sqrt(Tmat/_T_1_); - Rdown_He = _a_VF_/(sq_0 * pow((1.+sq_0),(1.-_b_VF_)) * pow((1. + sq_1),(1. + _b_VF_))); - Rup_He = 4.*Rdown_He*pow((preco->CR*Tmat),1.5)*exp(-preco->CDB_He/Tmat); - K = preco->CK/Hz; + ptdw->x_H = 1.; + ptdw->x_He = 1.; - /* following is from recfast 1.5 */ + } + /** - --> second regime: first Helium recombination (analytic approximation) */ + else if (current_ap == ptdw->index_ap_He1) { - if (ppr->recfast_Hswitch == _TRUE_ ) - K *= 1. - + ppr->recfast_AGauss1*exp(-pow((log(1.+z)-ppr->recfast_zGauss1)/ppr->recfast_wGauss1,2)) - + ppr->recfast_AGauss2*exp(-pow((log(1.+z)-ppr->recfast_zGauss2)/ppr->recfast_wGauss2,2)); + /* Assuming Saha equilibrium for HeIII --> HeII */ + rhs = exp( 1.5*log(ptw->const_NR_numberdens*Tmat/(1.+z)/(1.+z)) - ptw->const_Tion_HeII/Tmat ) / ptw->SIunit_nH0; + if (pth->has_varconst == _TRUE_) { + rhs *= rescale_rhs; + } - /* end of new recfast 1.5 piece */ + sqrt_val = sqrt(pow((rhs-1.-ptw->fHe),2) + 4.*(1.+2.*ptw->fHe)*rhs); - /* following is from recfast 1.4 */ + x = 0.5*(sqrt_val - (rhs-1.-ptw->fHe)); - Rdown_trip = _a_trip_/(sq_0*pow((1.+sq_0),(1.-_b_trip_)) * pow((1.+sq_1),(1.+_b_trip_))); - Rup_trip = Rdown_trip*exp(-_h_P_*_c_*_L_He2St_ion_/(_k_B_*Tmat))*pow(preco->CR*Tmat,1.5)*4./3.; + ptdw->x_H = 1.; + ptdw->x_He = 1.; - if ((x_He < 5.e-9) || (x_He > ppr->recfast_x_He0_trigger2)) - Heflag = 0; - else - Heflag = ppr->recfast_Heswitch; + } + /** - --> third regime: first Helium recombination finished, H and Helium fully ionized */ + else if (current_ap == ptdw->index_ap_He1f) { - if (Heflag == 0) - K_He = preco->CK_He/Hz; - else { - tauHe_s = _A2P_s_*preco->CK_He*3.*n_He*(1.-x_He)/Hz; - pHe_s = (1.-exp(-tauHe_s))/tauHe_s; - K_He = 1./(_A2P_s_*pHe_s*3.*n_He*(1.-x_He)); - - /* if (((Heflag == 2) || (Heflag >= 5)) && (x_H < 0.99999)) { */ - if (((Heflag == 2) || (Heflag >= 5)) && (x_H < 0.9999999)) { /* threshold changed by Antony Lewis in 2008 to get smoother Helium */ - - Doppler = 2.*_k_B_*Tmat/(_m_H_*_not4_*_c_*_c_); - Doppler = _c_*_L_He_2p_*sqrt(Doppler); - gamma_2Ps = 3.*_A2P_s_*preco->fHe*(1.-x_He)*_c_*_c_ - /(sqrt(_PI_)*_sigma_He_2Ps_*8.*_PI_*Doppler*(1.-x_H)) - /pow(_c_*_L_He_2p_,2); - pb = 0.36; - qb = ppr->recfast_fudge_He; - AHcon = _A2P_s_/(1.+pb*pow(gamma_2Ps,qb)); - K_He=1./((_A2P_s_*pHe_s+AHcon)*3.*n_He*(1.-x_He)); - } - - if (Heflag >= 3) { - tauHe_t = _A2P_t_*n_He*(1.-x_He)*3./(8.*_PI_*Hz*pow(_L_He_2Pt_,3)); - pHe_t = (1. - exp(-tauHe_t))/tauHe_t; - CL_PSt = _h_P_*_c_*(_L_He_2Pt_ - _L_He_2St_)/_k_B_; - if ((Heflag == 3) || (Heflag == 5) || (x_H >= 0.99999)) { - CfHe_t = _A2P_t_*pHe_t*exp(-CL_PSt/Tmat); - CfHe_t = CfHe_t/(Rup_trip+CfHe_t); - } - else { - Doppler = 2.*_k_B_*Tmat/(_m_H_*_not4_*_c_*_c_); - Doppler = _c_*_L_He_2Pt_*sqrt(Doppler); - gamma_2Pt = 3.*_A2P_t_*preco->fHe*(1.-x_He)*_c_*_c_ - /(sqrt(_PI_)*_sigma_He_2Pt_*8.*_PI_*Doppler*(1.-x_H)) - /pow(_c_*_L_He_2Pt_,2); - pb = 0.66; - qb = 0.9; - AHcon = _A2P_t_/(1.+pb*pow(gamma_2Pt,qb))/3.; - CfHe_t = (_A2P_t_*pHe_t+AHcon)*exp(-CL_PSt/Tmat); - CfHe_t = CfHe_t/(Rup_trip+CfHe_t); - } + /* Assuming Saha equilibrium for HeII --> HeI with HII fully ionized, again expanding in rhs' = 1/rhs compared to below */ + rhs = 0.25*ptw->SIunit_nH0/exp( 1.5*log(ptw->const_NR_numberdens*Tmat/(1.+z)/(1.+z)) - ptw->const_Tion_HeI/Tmat ); + if (pth->has_varconst == _TRUE_) { + rhs /= rescale_rhs; } - } - /* end of new recfast 1.4 piece */ + sqrt_val = sqrt(pow(1.-rhs,2) + 4.*rhs*(1.+ptw->fHe)); - timeTh=(1./(preco->CT*pow(Trad,4)))*(1.+x+preco->fHe)/x; - timeH=2./(3.*preco->H0*pow(1.+z,1.5)); + x = 2.*(1+ptw->fHe)/(1.-rhs + sqrt_val); - /************/ - /* hydrogen */ - /************/ + ptdw->x_H = 1.; + ptdw->x_He = 1.; - if (x_H > ppr->recfast_x_H0_trigger) - dy[0] = 0.; - else { + } + /** - --> fourth regime: second Helium recombination starts (analytic approximation) */ + else if (current_ap == ptdw->index_ap_He2) { - /* Peebles' coefficient (approximated as one when the Hydrogen - ionization fraction is very close to one) */ - if (x_H < ppr->recfast_x_H0_trigger2) { - C = (1. + K*_Lambda_*n*(1.-x_H))/(1./preco->fu+K*_Lambda_*n*(1.-x_H)/preco->fu +K*Rup*n*(1.-x_H)); - } - else { - C = 1.; + /* Assuming Saha equilibrium for HeII --> HeI with HII fully ionized */ + rhs = 4.*exp(1.5*log(ptw->const_NR_numberdens*Tmat/(1.+z)/(1.+z)) - ptw->const_Tion_HeI/Tmat ) / ptw->SIunit_nH0; + if (pth->has_varconst == _TRUE_) { + rhs *= rescale_rhs; } - /* For DM annihilation: fraction of injected energy going into - ionization and Lya excitation */ + sqrt_val = sqrt(pow((rhs-1.),2) + 4.*(1.+ptw->fHe)*rhs ); - /* - old approximation from Chen and Kamionkowski: */ + x = 0.5*(sqrt_val - (rhs-1.)); - //chi_ion_H = (1.-x)/3.; + ptdw->x_H = 1.; + ptdw->x_He = (x-1.)/ptw->fHe; - /* coefficient as revised by Slatyer et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 2 in Table V of Slatyer et al. 2013): */ + } + /** - --> fifth regime: Hydrogen recombination starts (analytic approximation) + while Helium recombination continues (full equation) */ + else if (current_ap == ptdw->index_ap_H) { - if (x < 1.) - chi_ion_H = 0.369202*pow(1.-pow(x,0.463929),1.70237); - else - chi_ion_H = 0.; + rhs = exp(1.5*log(ptw->const_NR_numberdens*Tmat/(1.+z)/(1.+z)) - ptw->const_Tion_H/Tmat)/ptw->SIunit_nH0; + if (pth->has_varconst == _TRUE_) { + rhs *= rescale_rhs; + } - /* evolution of hydrogen ionisation fraction: */ + /* Assuming Saha equilibrium for HII->HI. Includes xHeII corrections from incomplete recombination of HeII --> HeI (non-zero x_HeII) */ + xHeII = y[ptv->index_ti_x_He]*ptw->fHe; + x_H = 2./(1.+xHeII/rhs + sqrt((1.+xHeII/rhs)*(1.+xHeII/rhs)+4./rhs)); - // JL: test for debugginf reio_inter - //fprintf(stdout,"%e %e %e %e\n",z,Tmat,K*_Lambda_*n,K*Rup*n); + x_He = y[ptv->index_ti_x_He]; + x = x_H + ptw->fHe * x_He; - dy[0] = (x*x_H*n*Rdown - Rup*(1.-x_H)*exp(-preco->CL/Tmat)) * C / (Hz*(1.+z)) /* Peeble's equation with fudged factors */ - -energy_rate*chi_ion_H/n*(1./_L_H_ion_+(1.-C)/_L_H_alpha_)/(_h_P_*_c_*Hz*(1.+z)); /* energy injection (neglect fraction going to helium) */ + ptdw->x_H = x_H; + ptdw->x_He = x_He; } + /** - --> sixth regime: full Hydrogen and Helium equations */ + else if (current_ap == ptdw->index_ap_frec) { + x_H = y[ptv->index_ti_x_H]; + x_He = y[ptv->index_ti_x_He]; + x = x_H + ptw->fHe * x_He; - /************/ - /* helium */ - /************/ - - if (x_He < 1.e-15) - dy[1]=0.; - else { - - if (preco->Bfact/Tmat < 680.) - He_Boltz=exp(preco->Bfact/Tmat); - else - He_Boltz=exp(680.); - - /* equations modified to take into account energy injection from dark matter */ - //C_He=(1. + K_He*_Lambda_He_*n_He*(1.-x_He)*He_Boltz)/(1. + K_He*(_Lambda_He_+Rup_He)*n_He*(1.-x_He)*He_Boltz); + ptdw->x_H = x_H; + ptdw->x_He = x_He; - dy[1] = ((x*x_He*n*Rdown_He - Rup_He*(1.-x_He)*exp(-preco->CL_He/Tmat)) - *(1. + K_He*_Lambda_He_*n_He*(1.-x_He)*He_Boltz)) - /(Hz*(1+z)* (1. + K_He*(_Lambda_He_+Rup_He)*n_He*(1.-x_He)*He_Boltz)); /* in case of energy injection due to DM, we neglect the contribution to helium ionization */ - - /* following is from recfast 1.4 */ - /* this correction is not self-consistent when there is energy injection from dark matter, and leads to nan's at small redshift (unimportant when reionization takes over before that redshift) */ + } + /** - --> seventh regime: calculate x_noreio during reionization + (i.e. x before taking reionisation into account) */ + else if (current_ap == ptdw->index_ap_reio) { - if (Heflag >= 3) - dy[1] = dy[1] + - (x*x_He*n*Rdown_trip - - (1.-x_He)*3.*Rup_trip*exp(-_h_P_*_c_*_L_He_2St_/(_k_B_*Tmat))) - *CfHe_t/(Hz*(1.+z)); + x_H = y[ptv->index_ti_x_H]; + x_He = y[ptv->index_ti_x_He]; + x = x_H + ptw->fHe * x_He; - /* end of new recfast 1.4 piece */ + ptdw->x_H = x_H; + ptdw->x_He = x_He; } - if (timeTh < preco->H_frac*timeH) { - /* dy[2]=Tmat/(1.+z); */ - /* v 1.5: like in camb, add here a smoothing term as suggested by Adam Moss */ - dHdz=-pvecback[pba->index_bg_H_prime]/pvecback[pba->index_bg_H]/pba->a_today* _c_ / _Mpc_over_m_; - epsilon = Hz * (1.+x+preco->fHe) / (preco->CT*pow(Trad,3)*x); - dy[2] = preco->Tnow + epsilon*((1.+preco->fHe)/(1.+preco->fHe+x))*((dy[0]+preco->fHe*dy[1])/x) - - epsilon* dHdz/Hz + 3.*epsilon/(1.+z); - } - else { - /* equations modified to take into account energy injection from dark matter */ + ptdw->x_noreio = x; - //chi_heat = (1.+2.*preio->reionization_table[i*preio->re_size+preio->index_re_xe])/3.; // old approximation from Chen and Kamionkowski + /** - If z is during reionization, also calculate the reionized x */ + if (current_ap == ptdw->index_ap_reio) { - // coefficient as revised by Slatyer et al. 2013 (in fact it is a fit by Vivian Poulin of columns 1 and 2 in Table V of Slatyer et al. 2013) - if (x < 1.) - chi_heat = MIN(0.996857*(1.-pow(1.-pow(x,0.300134),1.51035)),1); - else - chi_heat = 1.; + /* set x from the evolver (which is very low ~10^-4) as 'xe_before' */ + ptw->ptrp->reionization_parameters[ptw->ptrp->index_re_xe_before] = x; - dy[2]= preco->CT * pow(Trad,4) * x / (1.+x+preco->fHe) * (Tmat-Trad) / (Hz*(1.+z)) + 2.*Tmat/(1.+z) - -2./(3.*_k_B_)*energy_rate*chi_heat/n/(1.+preco->fHe+x)/(Hz*(1.+z)); /* energy injection */ + /* compute x */ + class_call(thermodynamics_reionization_function(z,pth,ptw->ptrp,&x), + pth->error_message, + pth->error_message); } + ptdw->x_reio = x; + return _SUCCESS_; } /** - * This routine merges the two tables 'recombination_table' and - * 'reionization_table' inside the table 'thermodynamics_table', and - * frees the temporary structures 'recombination' and 'reionization'. + * This subroutine contains the reionization function \f$ X_e(z) \f$ (one for each scheme) and gives x for a given z. * - * @param ppr Input: pointer to precision structure - * @param pth Input/Output: pointer to thermo structure - * @param preco Input: pointer to filled recombination structure - * @param preio Input: pointer to reionization structure - * @return the error status + * @param z Input: redshift + * @param pth Input: pointer to thermodynamics structure, to know which scheme is used + * @param preio Input: pointer to reionization parameters of the function \f$ X_e(z) \f$ + * @param x Output: \f$ X_e(z) \f$ */ -int thermodynamics_merge_reco_and_reio( - struct precision * ppr, - struct thermo * pth, - struct recombination * preco, - struct reionization * preio - ) { +int thermodynamics_reionization_function( + double z, + struct thermodynamics * pth, + struct thermo_reionization_parameters * preio, + double * x + ) { + /** Summary: */ /** - define local variables */ + double argument; + int i; + double z_jump; + + int jump; + double center,before, after,width,one_jump; + double z_min, z_max; - int i,index_th,index_re; + switch (pth->reio_parametrization) { - /** - first, a little check that the two tables match each other and can be merged */ + /** - no reionization means nothing to be added to xe_before */ + case reio_none: + *x = preio->reionization_parameters[preio->index_re_xe_before]; + break; - if (pth->reio_parametrization != reio_none) { - class_test(preco->recombination_table[preio->index_reco_when_reio_start*preco->re_size+preco->index_re_z] != - preio->reionization_table[(preio->rt_size -1)*preio->re_size+preio->index_re_z], - pth->error_message, - "mismatch which should never happen"); - } + /** - implementation of ionization function similar to the one in CAMB */ + case reio_camb: - /** - find number of redshift in full table = number in reco + number in reio - overlap */ + /** - --> case z > z_reio_start */ + if (z > preio->reionization_parameters[preio->index_re_reio_start]) { + *x = preio->reionization_parameters[preio->index_re_xe_before]; + } + else { + /** - --> case z < z_reio_start: hydrogen contribution (tanh of complicated argument) */ + argument = (pow((1.+preio->reionization_parameters[preio->index_re_reio_redshift]), + preio->reionization_parameters[preio->index_re_reio_exponent]) + -pow((1.+z),preio->reionization_parameters[preio->index_re_reio_exponent])) + /(preio->reionization_parameters[preio->index_re_reio_exponent] + *pow((1.+preio->reionization_parameters[preio->index_re_reio_redshift]), + (preio->reionization_parameters[preio->index_re_reio_exponent]-1.))) + /preio->reionization_parameters[preio->index_re_reio_width]; + + *x = (preio->reionization_parameters[preio->index_re_xe_after] + -preio->reionization_parameters[preio->index_re_xe_before]) + *(tanh(argument)+1.)/2. + +preio->reionization_parameters[preio->index_re_xe_before]; - pth->tt_size = ppr->recfast_Nz0 + preio->rt_size - preio->index_reco_when_reio_start - 1; + /** - --> case z < z_reio_start: helium contribution (tanh of simpler argument) */ + argument = (preio->reionization_parameters[preio->index_re_helium_fullreio_redshift] - z) + /preio->reionization_parameters[preio->index_re_helium_fullreio_width]; + *x += preio->reionization_parameters[preio->index_re_helium_fullreio_fraction] + *(tanh(argument)+1.)/2.; + } + break; - /** - allocate arrays in thermo structure */ + /** - implementation of half-tangent like in 1209.0247 */ + case reio_half_tanh: - class_alloc(pth->z_table,pth->tt_size*sizeof(double),pth->error_message); - class_alloc(pth->thermodynamics_table,pth->th_size*pth->tt_size*sizeof(double),pth->error_message); - class_alloc(pth->d2thermodynamics_dz2_table,pth->th_size*pth->tt_size*sizeof(double),pth->error_message); + /** - --> case z > z_reio_start */ + if (z > preio->reionization_parameters[preio->index_re_reio_start]) { + *x = preio->reionization_parameters[preio->index_re_xe_before]; + } + else { + /** - --> case z < z_reio_start: hydrogen contribution (tanh of complicated argument) */ + argument = (pow((1.+preio->reionization_parameters[preio->index_re_reio_redshift]), + preio->reionization_parameters[preio->index_re_reio_exponent]) + -pow((1.+z),preio->reionization_parameters[preio->index_re_reio_exponent])) + /(preio->reionization_parameters[preio->index_re_reio_exponent] + *pow((1.+preio->reionization_parameters[preio->index_re_reio_redshift]), + (preio->reionization_parameters[preio->index_re_reio_exponent]-1.))) + /preio->reionization_parameters[preio->index_re_reio_width]; + + /* argument goes from 0 to infty, not from -infty to infty like + in reio_camb case. Thus tanh(argument) goes from 0 to 1, not + from -1 to 1. */ + + *x = (preio->reionization_parameters[preio->index_re_xe_after] + -preio->reionization_parameters[preio->index_re_xe_before]) + *tanh(argument) + +preio->reionization_parameters[preio->index_re_xe_before]; + } + break; + + /** - implementation of binned ionization function similar to astro-ph/0606552 */ + case reio_bins_tanh: + + /** - --> case z > z_reio_start */ + if (z > preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]) { + *x = preio->reionization_parameters[preio->index_re_xe_before]; + } + else if (z < preio->reionization_parameters[preio->index_re_first_z]) { + *x = preio->reionization_parameters[preio->index_re_first_xe]; + } + else { + i = 0; + while (preio->reionization_parameters[preio->index_re_first_z+i+1]reionization_parameters[preio->index_re_first_xe+preio->re_z_size-1] = preio->reionization_parameters[preio->index_re_xe_before]; + + /* This is the expression of the tanh-like jumps of the reio_bins_tanh scheme until the 10.06.2015. It appeared to be + not robust enough. It could lead to a kink in xe(z) near the maximum value of z at which reionisation is sampled. It has + been replaced by the simpler and more robust expression below. + + *xe = preio->reionization_parameters[preio->index_re_first_xe+i] + +0.5*(tanh((2.*(z-preio->reionization_parameters[preio->index_re_first_z+i]) + /(preio->reionization_parameters[preio->index_re_first_z+i+1] + -preio->reionization_parameters[preio->index_re_first_z+i])-1.) + /preio->reionization_parameters[preio->index_re_step_sharpness]) + /tanh(1./preio->reionization_parameters[preio->index_re_step_sharpness])+1.) + *(preio->reionization_parameters[preio->index_re_first_xe+i+1] + -preio->reionization_parameters[preio->index_re_first_xe+i]); + */ + + /* compute the central redshift value of the tanh jump */ + if (i == preio->re_z_size-2) { + z_jump = preio->reionization_parameters[preio->index_re_first_z+i] + + 0.5*(preio->reionization_parameters[preio->index_re_first_z+i] + -preio->reionization_parameters[preio->index_re_first_z+i-1]); + } + else{ + z_jump = 0.5*(preio->reionization_parameters[preio->index_re_first_z+i+1] + + preio->reionization_parameters[preio->index_re_first_z+i]); + } + + /* implementation of the tanh jump */ + *x = preio->reionization_parameters[preio->index_re_first_xe+i] + +0.5*(tanh((z-z_jump) + /preio->reionization_parameters[preio->index_re_step_sharpness])+1.) + *(preio->reionization_parameters[preio->index_re_first_xe+i+1] + -preio->reionization_parameters[preio->index_re_first_xe+i]); + } + break; + + /** - implementation of many tanh jumps */ + case reio_many_tanh: + + /** - --> case z > z_reio_start */ + if (z > preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]) { + *x = preio->reionization_parameters[preio->index_re_xe_before]; + } + else if (z > preio->reionization_parameters[preio->index_re_first_z]) { + + *x = preio->reionization_parameters[preio->index_re_xe_before]; + + /* fix the final xe to xe_before*/ + preio->reionization_parameters[preio->index_re_first_xe+preio->re_z_size-1] = preio->reionization_parameters[preio->index_re_xe_before]; + + for (jump=1; jumpre_z_size-1; jump++) { + + center = preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1-jump]; + + /* before and after are meant with respect to growing z, not growing time */ + before = preio->reionization_parameters[preio->index_re_first_xe+preio->re_z_size-1-jump] + -preio->reionization_parameters[preio->index_re_first_xe+preio->re_z_size-jump]; + after = 0.; + width = preio->reionization_parameters[preio->index_re_step_sharpness]; + + one_jump = before + (after-before)*(tanh((z-center)/width)+1.)/2.; + + *x += one_jump; + } + + } + else{ + *x = preio->reionization_parameters[preio->index_re_first_xe]; + } + break; + + /** - implementation of reio_inter */ + case reio_inter: - /** - fill these arrays */ - - for (i=0; i < preio->rt_size; i++) { - pth->z_table[i]= - preio->reionization_table[i*preio->re_size+preio->index_re_z]; - pth->thermodynamics_table[i*pth->th_size+pth->index_th_xe]= - preio->reionization_table[i*preio->re_size+preio->index_re_xe]; - pth->thermodynamics_table[i*pth->th_size+pth->index_th_dkappa]= - preio->reionization_table[i*preio->re_size+preio->index_re_dkappadtau]; - pth->thermodynamics_table[i*pth->th_size+pth->index_th_Tb]= - preio->reionization_table[i*preio->re_size+preio->index_re_Tb]; - pth->thermodynamics_table[i*pth->th_size+pth->index_th_cb2]= - preio->reionization_table[i*preio->re_size+preio->index_re_cb2]; - } - for (i=0; i < ppr->recfast_Nz0 - preio->index_reco_when_reio_start - 1; i++) { - index_th=i+preio->rt_size; - index_re=i+preio->index_reco_when_reio_start+1; - pth->z_table[index_th]= - preco->recombination_table[index_re*preco->re_size+preco->index_re_z]; - pth->thermodynamics_table[index_th*pth->th_size+pth->index_th_xe]= - preco->recombination_table[index_re*preco->re_size+preco->index_re_xe]; - pth->thermodynamics_table[index_th*pth->th_size+pth->index_th_dkappa]= - preco->recombination_table[index_re*preco->re_size+preco->index_re_dkappadtau]; - pth->thermodynamics_table[index_th*pth->th_size+pth->index_th_Tb]= - preco->recombination_table[index_re*preco->re_size+preco->index_re_Tb]; - pth->thermodynamics_table[index_th*pth->th_size+pth->index_th_cb2]= - preco->recombination_table[index_re*preco->re_size+preco->index_re_cb2]; - } - - /** - free the temporary structures */ - - free(preco->recombination_table); - - if (pth->reio_parametrization != reio_none) - free(preio->reionization_table); + /** - --> case z > z_reio_start */ + if (z > preio->reionization_parameters[preio->index_re_first_z+preio->re_z_size-1]) { + *x = preio->reionization_parameters[preio->index_re_xe_before]; + } + else{ + i=0; + while (preio->reionization_parameters[preio->index_re_first_z+i+1] < z) i++; + + z_min = preio->reionization_parameters[preio->index_re_first_z+i]; + z_max = preio->reionization_parameters[preio->index_re_first_z+i+1]; + + /* fix the final xe to xe_before*/ + preio->reionization_parameters[preio->index_re_first_xe+preio->re_z_size-1] = preio->reionization_parameters[preio->index_re_xe_before]; + + class_test(zerror_message, + "z out of range for reionization interpolation"); + + class_test(z>z_max, + pth->error_message, + "z out of range for reionization interpolation"); + + argument =(z-preio->reionization_parameters[preio->index_re_first_z+i]) + /(preio->reionization_parameters[preio->index_re_first_z+i+1] + -preio->reionization_parameters[preio->index_re_first_z+i]); + + *x = preio->reionization_parameters[preio->index_re_first_xe+i] + + argument*(preio->reionization_parameters[preio->index_re_first_xe+i+1] + -preio->reionization_parameters[preio->index_re_first_xe+i]); + + class_test(*x<0., + pth->error_message, + "Interpolation gives negative ionization fraction\n", + argument, + preio->reionization_parameters[preio->index_re_first_xe+i], + preio->reionization_parameters[preio->index_re_first_xe+i+1]); + } + break; + default: + class_stop(pth->error_message, + "value of reio_parametrization=%d unclear",pth->reio_parametrization); + break; + } return _SUCCESS_; } /** - * Subroutine for formatting thermodynamics output + * Function for formatting the titles to be output + * + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param titles Input: titles string containing all titles + * @return the error status */ -int thermodynamics_output_titles(struct background * pba, - struct thermo *pth, +int thermodynamics_output_titles( + struct background * pba, + struct thermodynamics *pth, char titles[_MAXTITLESTRINGLENGTH_] - ){ + ) { + class_store_columntitle(titles,"scale factor a",_TRUE_); //NS TODO :: Added a, tell Julien class_store_columntitle(titles,"z",_TRUE_); class_store_columntitle(titles,"conf. time [Mpc]",_TRUE_); class_store_columntitle(titles,"x_e",_TRUE_); @@ -3696,7 +4371,30 @@ int thermodynamics_output_titles(struct background * pba, //class_store_columntitle(titles,"g'",_TRUE_); //class_store_columntitle(titles,"g''",_TRUE_); class_store_columntitle(titles,"Tb [K]",_TRUE_); + class_store_columntitle(titles,"dTb [K]",_TRUE_); + class_store_columntitle(titles,"w_b",_TRUE_); class_store_columntitle(titles,"c_b^2",_TRUE_); + if (pba->has_idm == _TRUE_) { + class_store_columntitle(titles,"T_idm [K]",_TRUE_); + class_store_columntitle(titles,"c_idm^2",_TRUE_); + if (pth->has_idm_g == _TRUE_) { + class_store_columntitle(titles,"dmu_idm_g",_TRUE_); + class_store_columntitle(titles,"ddmu_idm_g",_TRUE_); + } + if (pth->has_idm_b==_TRUE_){ + class_store_columntitle(titles,"R_idm_b",_TRUE_); + } + if (pth->has_idm_dr == _TRUE_){ + class_store_columntitle(titles,"dmu_idm_dr",_TRUE_); + class_store_columntitle(titles,"tau_idm_dr",_TRUE_); + class_store_columntitle(titles,"tau_idr",_TRUE_); + class_store_columntitle(titles,"g_idm_dr [Mpc^-1]",_TRUE_); + } + } + if (pba->has_idr == _TRUE_) { + class_store_columntitle(titles, "T_idr [K]", _TRUE_); + class_store_columntitle(titles,"dmu_idr",_TRUE_); + } class_store_columntitle(titles,"tau_d",_TRUE_); //class_store_columntitle(titles,"max. rate",_TRUE_); class_store_columntitle(titles,"r_d",pth->compute_damping_scale); @@ -3704,35 +4402,42 @@ int thermodynamics_output_titles(struct background * pba, return _SUCCESS_; } -int thermodynamics_output_data(struct background * pba, - struct thermo *pth, +/** + * Output the data for the output into files + * + * @param pba Input: pointer to background structure + * @param pth Input: pointer to the thermodynamics structure + * @param number_of_titles Input: number of titles + * @param data Input: pointer to data file + * @return the error status + */ + +int thermodynamics_output_data( + struct background * pba, + struct thermodynamics *pth, int number_of_titles, double *data - ){ + ) { int index_z, storeidx; double *dataptr, *pvecthermo; double z,tau; - // pth->number_of_thermodynamics_titles = get_number_of_titles(pth->thermodynamics_titles); - //pth->size_thermodynamics_data = pth->number_of_thermodynamics_titles*pth->tt_size; - + // pth->number_of_thermodynamics_titles = get_number_of_titles(pth->thermodynamics_titles); + // pth->size_thermodynamics_data = pth->number_of_thermodynamics_titles*pth->tt_size; /* Store quantities: */ - for (index_z=0; index_ztt_size; index_z++){ + for (index_z=0; index_ztt_size; index_z++) { dataptr = data + index_z*number_of_titles; pvecthermo = pth->thermodynamics_table+index_z*pth->th_size; z = pth->z_table[index_z]; storeidx=0; - class_call(background_tau_of_z( - pba, - z, - &tau - ), + class_call(background_tau_of_z(pba, z, &tau), pba->error_message, pth->error_message); + class_store_double(dataptr,1./(1.+z),_TRUE_,storeidx); class_store_double(dataptr,z,_TRUE_,storeidx); class_store_double(dataptr,tau,_TRUE_,storeidx); class_store_double(dataptr,pvecthermo[pth->index_th_xe],_TRUE_,storeidx); @@ -3744,7 +4449,30 @@ int thermodynamics_output_data(struct background * pba, //class_store_double(dataptr,pvecthermo[pth->index_th_dg],_TRUE_,storeidx); //class_store_double(dataptr,pvecthermo[pth->index_th_ddg],_TRUE_,storeidx); class_store_double(dataptr,pvecthermo[pth->index_th_Tb],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_dTb],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_wb],_TRUE_,storeidx); class_store_double(dataptr,pvecthermo[pth->index_th_cb2],_TRUE_,storeidx); + if (pba->has_idm == _TRUE_) { + class_store_double(dataptr,pvecthermo[pth->index_th_T_idm],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_c2_idm],_TRUE_,storeidx); + if (pth->has_idm_g == _TRUE_) { + class_store_double(dataptr,pvecthermo[pth->index_th_dmu_idm_g],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_ddmu_idm_g],_TRUE_,storeidx); + } + if (pth->has_idm_b == _TRUE_){ + class_store_double(dataptr,pvecthermo[pth->index_th_R_idm_b],_TRUE_,storeidx); + } + if (pth->has_idm_dr == _TRUE_){ + class_store_double(dataptr,pvecthermo[pth->index_th_dmu_idm_dr],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_tau_idm_dr],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_tau_idr],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_g_idm_dr],_TRUE_,storeidx); + } + } + if (pba->has_idr == _TRUE_) { + class_store_double(dataptr, pvecthermo[pth->index_th_T_idr],_TRUE_,storeidx); + class_store_double(dataptr,pvecthermo[pth->index_th_dmu_idr],_TRUE_,storeidx); + } class_store_double(dataptr,pvecthermo[pth->index_th_tau_d],_TRUE_,storeidx); //class_store_double(dataptr,pvecthermo[pth->index_th_rate],_TRUE_,storeidx); class_store_double(dataptr,pvecthermo[pth->index_th_r_d],pth->compute_damping_scale,storeidx); @@ -3754,14 +4482,284 @@ int thermodynamics_output_data(struct background * pba, return _SUCCESS_; } -int thermodynamics_tanh(double x, - double center, - double before, - double after, - double width, - double * result) { - *result = before + (after-before)*(tanh((x-center)/width)+1.)/2.; + +/** + * This routine computes the quantities connected to interacting dark + * matter with photons, baryons & dark radiation (idm), and interacting dark radiation (idr) + * + * @param pba Input: pointer to background structure + * @param z Input: redshift + * @param y Input: vector of evolver quantities + * @param dy Input: derivative of this vector + * @param pth Input: pointer to thermodynamics structure + * @param ptw Input/Output: pointer to thermo workspace + * @param pvecback Input: vector of background quantities + * + * @return the error status + * + */ +int thermodynamics_idm_quantities(struct background * pba, + double z, + double * y, + double * dy, + struct thermodynamics * pth, + struct thermo_workspace * ptw, + double * pvecback){ + /** Summary: */ + + /** Define local variables */ + struct thermo_diffeq_workspace * ptdw = ptw->ptdw; + struct thermo_vector * ptv = ptdw->ptv; + + /* Thermo quantities */ + double T_g, Tmat, T_idr = 0.; + double Vrms_idm_b2, m_b, T_diff_idm_b, FHe; + + T_g = ptw->Tcmb * (1.+z); + Tmat = y[ptv->index_ti_D_Tmat] + T_g; + + /** - First deal with any required dark radiation */ + if (pba->has_idr == _TRUE_) { + T_idr = pba->T_idr*(1.+z); + ptdw->dmu_idr = pth->b_idr*pow((1.+z)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idr*pow(pba->h,2); + } + + /** - Now deal with any required dark matter (and its interactions) */ + if (pba->has_idm == _TRUE_) { + /* First, set the IDM temperature in tight coupling */ + if (ptw->has_ap_idmtca == _TRUE_ && ptdw->ap_current == ptdw->index_ap_idmtca) { + ptdw->T_idm = T_g; + /* If we are coupling strongly to dark radiation instead */ + if ((pth->has_idm_dr == _TRUE_) && pth->n_index_idm_dr > 0) + ptdw->T_idm = T_idr; + } + + /* Also set idm temperature without tight coupling */ + else { + ptdw->T_idm = y[ptv->index_ti_T_idm]; + } + + /* Compute idm temperature derivatives, starting with homogeneous expansion */ + ptdw->T_idm_prime = - 2. * ptdw->T_idm / (1.+z); + + /* Now add also coupling to photons*/ + if (pth->has_idm_g == _TRUE_) { + /* - photon interaction rate with idm_g */ + ptdw->dmu_idm_g = 3./8./_PI_/_G_*pow(1.+z, 2+pth->n_index_idm_g)*pba->Omega0_idm*pba->H0*pba->H0*pth->u_idm_g*pow(_c_,4)*_sigma_/1.e11/_eV_/_Mpc_over_m_; + ptdw->T_idm_prime += - 2.*4./3. * pvecback[pba->index_bg_rho_g]/pvecback[pba->index_bg_rho_idm] * ptdw->dmu_idm_g * (ptdw->T_idm - T_g) / pvecback[pba->index_bg_H]; + } + /* Now add also coupling to dark radiation */ + if (pth->has_idm_dr == _TRUE_) { + /* - idr interaction rate with idm_dr */ + ptdw->dmu_idm_dr = pth->a_idm_dr*pow((1.+ z)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idm*pow(pba->h,2); + ptdw->Sinv_idm_dr = 4./3.*pvecback[pba->index_bg_rho_idr]/pvecback[pba->index_bg_rho_idm]; + ptdw->T_idm_prime += - 2* ptdw->dmu_idm_dr * ptdw->Sinv_idm_dr * (ptdw->T_idm - T_idr) / pvecback[pba->index_bg_H]; + } + /* Now add also coupling to baryons */ + /* Note that here we do a simplified calculation of the velocity, as described in 2010.04074. This will be adapted in future versions. */ + if (pth->has_idm_b == _TRUE_) { + if (z > 1.e3) + Vrms_idm_b2 = 1.e-8; + else + Vrms_idm_b2 = 1.e-8*pow(((1.+z)/1.e3),2); + + FHe = 1- ptw->YHe; + m_b = _m_p_*_c_*_c_/_eV_; /* Note that for now we always assume scattering with protons. This will be adapted in future versions. */ + + T_diff_idm_b = (Tmat*_k_B_/_eV_/m_b)+(ptdw->T_idm*_k_B_/_eV_/pth->m_idm)+(Vrms_idm_b2/3.0); + + ptdw->R_idm_b = (pvecback[pba->index_bg_a]*pvecback[pba->index_bg_rho_b]*pth->cross_idm_b*pth->n_coeff_idm_b/(m_b+pth->m_idm)) + *pow(T_diff_idm_b,(pth->n_index_idm_b+1.0)/2.0)*FHe + *(3.e-4*pow(_c_,4.)/(8.*_PI_*_Mpc_over_m_*_G_*_eV_)); + + ptdw->T_idm_prime += -2.*pth->m_idm/(pth->m_idm + m_b)*ptdw->R_idm_b*(ptdw->T_idm-Tmat) / pvecback[pba->index_bg_H]; + } + + /* Now conclude by computing the sound speed */ + ptdw->c2_idm = _k_B_ /(pth->m_idm*_eV_) * (ptdw->T_idm - (1.+z)/3. * ptdw->T_idm_prime); + } + + return _SUCCESS_; +} + +/** + * Check if the initial integration time and spacing needs adjusting, for example for interacting dark matter + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermo structure + * @param ptw Input/Output: pointer to thermo workspace + * @return the error status + */ +int thermodynamics_obtain_z_ini( + struct precision * ppr, + struct background *pba, + struct thermodynamics *pth, + struct thermo_workspace * ptw + ) { + + /* These wil affect when and how the temperature integration starts*/ + double z_initial; + int Nz_log; + /* This describes until when (if at all) any idm might be coupled to either photon or IDR temp*/ + double z_idm_dec, z_idm_dec_min=_HUGE_; + + double R_dm; + double f1nu = 7./8.*pow((4./11.),(4./3.)); + + z_initial = ppr->thermo_z_initial; + Nz_log = ppr->thermo_Nz_log; + + /* Set this initially to False and check if it's needed */ + ptw->has_ap_idmtca = _FALSE_; + + /* If there is idm, we want the thermodynamics table to + * start at a much larger z, in order to capture the possible + * non-trivial behavior of the dark matter interaction rate at early times */ + + /* First, calculate the approximate decoupling time iff there is coupling, based on formulae from 2010.04074 */ + if (pba->has_idm == _TRUE_) { + if ((pth->has_idm_g == _TRUE_) && (pth->n_index_idm_g > -2)) { + z_idm_dec = pow(3.01e9, 1./(2+pth->n_index_idm_g)) * pow((1.+pba->Neff*f1nu)/(1.+3.044*f1nu), 1./(4.+2.*pth->n_index_idm_g)) * pow(pth->u_idm_g*1e4, -1./(2.+pth->n_index_idm_g)); + if (pth->thermodynamics_verbose > 3) + printf("The decoupling redshift for idm_g is z_idm_dec = %.5e\n", z_idm_dec); + z_idm_dec_min = MIN(z_idm_dec, z_idm_dec_min); + } + if ((pth->has_idm_b == _TRUE_) && (pth->n_index_idm_b > -3)) { + R_dm = pth->m_idm / (_m_p_*_c_*_c_/_eV_); + z_idm_dec = 4e4 * pow( 9.15/pth->n_coeff_idm_b + *pow((1.+pba->Neff*f1nu)/(1.+3.044*f1nu), 1./2.) * (0.0224/pba->Omega0_b/pba->h/pba->h) + *pow(R_dm, (pth->n_index_idm_b+1.)/2.)/pow(1.+R_dm, (pth->n_index_idm_b-1.)/2.) + *pow(10.,4*pth->n_index_idm_b - 25)/pth->cross_idm_b , 2./(pth->n_index_idm_b+3)); + + if (pth->n_index_idm_b == -2) + z_idm_dec *= 10; + if (pth->thermodynamics_verbose > 3) + printf("The decoupling redshift for idm_b is z_idm_dec = %.5e\n", z_idm_dec); + z_idm_dec_min = MIN(z_idm_dec, z_idm_dec_min); + } + if ((pth->has_idm_dr == _TRUE_) && (pth->n_index_idm_dr > 0)) { + z_idm_dec = pow(10., 7.-6./ pth->n_index_idm_dr) + * pow( 1.6 * (1e-6/pba->Omega0_idr/pba->h/pba->h) + * pow((1.+pba->Neff*f1nu)/(1.+3.044*f1nu), 1./2.) + * (1e6 / pth->a_idm_dr) , 1./pth->n_index_idm_dr); + if (pth->thermodynamics_verbose > 3) + printf("The decoupling redshift for idm_dr is z_idm_dec = %.5e\n", z_idm_dec); + /* we need to be careful if idm is coupled to photons and idr at the same time */ + class_test(z_idm_dec_min != _HUGE_ && fabs(pba->T_idr - pba->T_cmb) > 1e-2, + pth->error_message, + "It seems that at early times idm is thermally coupled to both idr and photons (possibly through baryons).\nPlease set the initial temperatures equal or disable this error."); + + z_idm_dec_min = MIN(z_idm_dec, z_idm_dec_min); + } + + /* if there is initial coupling then we need the approximation scheme ap_idmtca */ + if (z_idm_dec_min != _HUGE_) { + ptw->has_ap_idmtca = _TRUE_; + /* assert that ap_idmtca ends before ap_brec ends */ + ptw->z_ap_idmtca = MAX( 1e2 * z_idm_dec_min, (ppr->recfast_z_He_1+ppr->recfast_delta_z_He_1)*1.5); + if (pth->thermodynamics_verbose > 3) + printf("Starting the idm TCA at z_ap_idmtca = %.5e\n", ptw->z_ap_idmtca); + } + + /* From this, decide the initial time of integration */ + /* start the integration before the decoupling */ + if (ptw->has_ap_idmtca == _TRUE_) { + class_test(ptw->z_ap_idmtca * ppr->a_ini_over_a_today_default > 1, + pth->error_message, + "The decoupling time of the idm species is set earlier than the background integration. Start the background integration earlier."); + + z_initial = MAX(z_initial, MIN(100 * ptw->z_ap_idmtca, 1/ppr->a_ini_over_a_today_default-2.)); + } + + /* if there is no coupling at early time, we need to set an another starting point */ + else { + z_initial = MAX(ppr->thermo_z_initial_if_idm, z_initial); + } + + if (pth->thermodynamics_verbose > 2) + printf(" -> Increasing the initial redshift of thermodynamics from %e to %e \n",ppr->thermo_z_initial,z_initial); + + /* Rescale Nz_log (if necessary) in order to cover with equal spacing the enlarged range */ + Nz_log = MAX((int)(Nz_log/log(ppr->thermo_z_initial)*log(z_initial)),Nz_log); + } + + ppr->thermo_z_initial = z_initial; + ppr->thermo_Nz_log = Nz_log; + class_test(z_initial * ppr->a_ini_over_a_today_default > 1., + pth->error_message, + "The initial starting time for the temperature integration is set earlier than the background integration. Adjust obtain_z_ini to mitigate this"); + class_test(z_initial < ppr->recfast_z_He_3, + pth->error_message, + "The initial starting time for the temperature integration is set after HeliumIII recombination starts. Adjust obtain_z_ini to mitigate this"); + + return _SUCCESS_; + +} + +/** + * Set the correct initial temperature for the idm species + * + * @param pba Input: pointer to background structure + * @param pth Input: pointer to thermo structure + * @param z_ini Input: z_ini + * @param ptdw Input/Output: pointer to thermo differential equation workspace + * @return the error status + */ +int thermodynamics_idm_initial_temperature( + struct background* pba, + struct thermodynamics* pth, + double z_ini, + struct thermo_diffeq_workspace * ptdw + ) { + + /** - define local parameters */ + double* pvecback; + int last_index; + /* idm-b special parameters */ + double m_b, FHe, T_diff_idm_b; + /* steady state factors ( = prefactors in temperature evolution equation) */ + double alpha=0.,beta=0.,epsilon=0.; + + /** - obtain necessary background information */ + class_alloc(pvecback,pba->bg_size*sizeof(double),pba->error_message); + class_call(background_at_z(pba, + z_ini, + long_info, + inter_normal, + &last_index, + pvecback), + pba->error_message, + pth->error_message); + + /* idm-idr steady state */ + if ((pth->has_idm_dr == _TRUE_) && (pth->n_index_idm_dr == 0)) { + epsilon = 2*4./3.*pvecback[pba->index_bg_rho_idr]/pvecback[pba->index_bg_rho_idm]* + pth->a_idm_dr*pow((1.+ z_ini)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idm*pow(pba->h,2) / pvecback[pba->index_bg_H]*(1.+z_ini); + } + /* idm_g steady state */ + else if (pth->has_idm_g == _TRUE_ && pth->n_index_idm_g == -2) { + ptdw->dmu_idm_dr = pth->a_idm_dr*pow((1.+ z_ini)/1.e7,pth->n_index_idm_dr)*pba->Omega0_idm*pow(pba->h,2); + ptdw->Sinv_idm_dr = 4./3.*pvecback[pba->index_bg_rho_idr]/pvecback[pba->index_bg_rho_idm]; + alpha = 2.* ptdw->dmu_idm_dr * ptdw->Sinv_idm_dr; + } + /* idm_b steady state */ + else if (pth->has_idm_b == _TRUE_ && pth->n_index_idm_b == -3) { + FHe = 1-pth->YHe; + m_b = _m_p_*_c_*_c_/_eV_; + /* This is super-highly approximated, and will not usually be correct. However, the small error we incur should be corrected by the evolution equation */ + T_diff_idm_b = (pba->T_cmb*(1.+z_ini)*_k_B_/_eV_/m_b)+(pba->T_cmb*(1.+z_ini)*_k_B_/_eV_/pth->m_idm)+(1.e-8/3.0); + ptdw->R_idm_b = (pvecback[pba->index_bg_a]*pvecback[pba->index_bg_rho_b]*pth->cross_idm_b*pth->n_coeff_idm_b/(m_b+pth->m_idm)) + *pow(T_diff_idm_b,(pth->n_index_idm_b+1.0)/2.0)*FHe + *(3.e-4*pow(_c_,4.)/(8.*_PI_*_Mpc_over_m_*_G_*_eV_)); + alpha = 2.*pth->m_idm/(pth->m_idm + m_b)*ptdw->R_idm_b; + } + + /* This formula (assuming alpha,beta,epsilon=const) approximates the steady-state solution of the IDM temperature evolution equation */ + ptdw->T_idm = (alpha + beta + epsilon * pba->T_idr/pba->T_cmb)/(1.+epsilon+alpha+beta) * pba->T_cmb * (1.+z_ini); + + free(pvecback); return _SUCCESS_; } diff --git a/source/transfer.c b/source/transfer.c old mode 100755 new mode 100644 index f7ae003c..026b4554 --- a/source/transfer.c +++ b/source/transfer.c @@ -14,7 +14,7 @@ * * Hence the following functions can be called from other modules: * - * -# transfer_init() at the beginning (but after perturb_init() + * -# transfer_init() at the beginning (but after perturbations_init() * and bessel_init()) * * -# transfer_functions_at_q() at any later time @@ -28,6 +28,7 @@ */ #include "transfer.h" +#include "parallel.h" /** * Transfer function \f$ \Delta_l^{X} (q) \f$ at a given wavenumber q. @@ -59,7 +60,7 @@ */ int transfer_functions_at_q( - struct transfers * ptr, + struct transfer * ptr, int index_md, int index_ic, int index_tt, @@ -90,13 +91,13 @@ int transfer_functions_at_q( } /** - * This routine initializes the transfers structure, (in particular, + * This routine initializes the transfer structure, (in particular, * computes table of transfer functions \f$ \Delta_l^{X} (q) \f$) * * Main steps: * - * - initialize all indices in the transfers structure - * and allocate all its arrays using transfer_indices_of_transfers(). + * - initialize all indices in the transfer structure + * and allocate all its arrays using transfer_indices(). * * - for each thread (in case of parallel run), initialize the fields of a memory zone called the transfer_workspace with transfer_workspace_init() * @@ -107,18 +108,18 @@ int transfer_functions_at_q( * @param pba Input: pointer to background structure * @param pth Input: pointer to thermodynamics structure * @param ppt Input: pointer to perturbation structure - * @param pnl Input: pointer to nonlinear structure - * @param ptr Output: pointer to initialized transfers structure + * @param pfo Input: pointer to fourier structure + * @param ptr Output: pointer to initialized transfer structure * @return the error status */ int transfer_init( struct precision * ppr, struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr + struct thermodynamics * pth, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr ) { /** Summary: */ @@ -151,8 +152,6 @@ int transfer_init( */ double *** sources_spline; - /* pointer on workspace (one per thread if openmp) */ - struct transfer_workspace * ptw; /** - array with the correspondence between the index of sources in the perturbation module and in the transfer module, @@ -165,19 +164,6 @@ int transfer_init( HyperInterpStruct BIS; double xmax; - /* This code can be optionally compiled with the openmp option for parallel computation. - Inside parallel regions, the use of the command "return" is forbidden. - For error management, instead of "return _FAILURE_", we will set the variable below - to "abort = _TRUE_". This will lead to a "return _FAILURE_" just after leaving the - parallel region. */ - int abort; - -#ifdef _OPENMP - - /* instrumentation times */ - double tstart, tstop, tspent; - -#endif /** - check whether any spectrum in harmonic space (i.e., any \f$C_l\f$'s) is actually requested */ @@ -193,6 +179,15 @@ int transfer_init( if (ptr->transfer_verbose > 0) fprintf(stdout,"Computing transfers\n"); + /** - check whether we will need the full Limber scheme */ + + if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (ppt->want_lcmb_full_limber == _TRUE_)) { + ptr->do_lcmb_full_limber = _TRUE_; + } + else { + ptr->do_lcmb_full_limber = _FALSE_; + } + /** - get number of modes (scalars, tensors...) */ ptr->md_size = ppt->md_size; @@ -213,10 +208,10 @@ int transfer_init( q_period = 2.*_PI_/(tau0-tau_rec)*ptr->angular_rescaling; - /** - initialize all indices in the transfers structure and - allocate all its arrays using transfer_indices_of_transfers() */ + /** - initialize all indices in the transfer structure and + allocate all its arrays using transfer_indices() */ - class_call(transfer_indices_of_transfers(ppr,ppt,ptr,q_period,pba->K,pba->sgnK), + class_call(transfer_indices(ppr,ppt,ptr,q_period,pba->K,pba->sgnK), ptr->error_message, ptr->error_message); @@ -226,7 +221,7 @@ int transfer_init( ptr->md_size*sizeof(double**), ptr->error_message); - class_call(transfer_perturbation_copy_sources_and_nl_corrections(ppt,pnl,ptr,sources), + class_call(transfer_perturbation_copy_sources_and_nl_corrections(ppt,pfo,ptr,sources), ptr->error_message, ptr->error_message); @@ -278,122 +273,120 @@ int transfer_init( ptr->error_message, ptr->error_message); - /* - fprintf(stderr,"tau:%d l:%d q:%d\n", - ppt->tau_size, - ptr->l_size_max, - ptr->q_size - ); - */ - /** - eventually read the selection and evolution functions */ class_call(transfer_global_selection_read(ptr), ptr->error_message, ptr->error_message); - /* (a.3.) workspace, allocated in a parallel zone since in openmp - version there is one workspace per thread */ - - /* initialize error management flag */ - abort = _FALSE_; - - /* beginning of parallel region */ - -#pragma omp parallel \ - shared(tau_size_max,ptr,ppr,pba,ppt,tp_of_tt,tau_rec,sources_spline,abort,BIS,tau0) \ - private(ptw,index_q,tstart,tstop,tspent) - { - -#ifdef _OPENMP - tspent = 0.; -#endif - - /* allocate workspace */ - - ptw = NULL; - - class_call_parallel(transfer_workspace_init(ptr, - ppr, - &ptw, - ppt->tau_size, - tau_size_max, - pba->K, - pba->sgnK, - tau0-pth->tau_cut, - &BIS), - ptr->error_message, - ptr->error_message); - - /** - loop over all wavenumbers (parallelized).*/ - /* For each wavenumber: */ - -#pragma omp for schedule (dynamic) + /** - precompute window function for integrated nCl/sCl quantities*/ + double* window = NULL; + if ((ppt->has_cl_lensing_potential == _TRUE_) || (ppt->has_cl_number_count == _TRUE_)) { + class_call(transfer_precompute_selection(ppr, + pba, + ppt, + ptr, + tau_rec, + tau_size_max, + &(window)), + ptr->error_message, + ptr->error_message); + } - for (index_q = 0; index_q < ptr->q_size; index_q++) { + class_setup_parallel(); + + /** - loop over all wavenumbers (parallelized).*/ + /* For each wavenumber: */ + for (index_q = 0; index_q < MAX(ptr->q_size,ptr->q_size_limber); index_q++) { + class_run_parallel(with_arguments(pba,pth,ppt,ptr,ppr,index_q,tau_rec,tp_of_tt,sources,sources_spline,tau_size_max,window,tau0,&BIS), + + /* compute the transfer functions in the normal case (not the + full Limber one) */ + + struct transfer_workspace * ptw = NULL; + class_call(transfer_workspace_init(ptr, + ppr, + &ptw, + ppt->tau_size, + tau_size_max, + pba->K, + pba->sgnK, + tau0-pth->tau_cut, + &BIS), + ptr->error_message, + ptr->error_message); -#ifdef _OPENMP - tstart = omp_get_wtime(); -#endif + if (index_q < ptr->q_size) { - if (ptr->transfer_verbose > 2) + if (ptr->transfer_verbose > 2) printf("Compute transfer for wavenumber [%d/%zu]\n",index_q,ptr->q_size-1); - /* Update interpolation structure: */ - class_call_parallel(transfer_update_HIS(ppr, - ptr, - ptw, - index_q, - tau0), - ptr->error_message, - ptr->error_message); - - class_call_parallel(transfer_compute_for_each_q(ppr, - pba, - ppt, - ptr, - tp_of_tt, - index_q, - tau_size_max, - tau_rec, - sources, - sources_spline, - ptw), - ptr->error_message, - ptr->error_message); - -#ifdef _OPENMP - tstop = omp_get_wtime(); - - tspent += tstop-tstart; -#endif + /* Update interpolation structure: */ + class_call(transfer_update_HIS(ppr, + ptr, + ptw, + index_q, + tau0), + ptr->error_message, + ptr->error_message); -#pragma omp flush(abort) + class_call(transfer_compute_for_each_q(ppr, + pba, + ppt, + ptr, + tp_of_tt, + index_q, + tau_size_max, + tau_rec, + sources, + sources_spline, + window, + ptw, + _FALSE_), + ptr->error_message, + ptr->error_message); + } - } /* end of loop over wavenumber */ + /* compute the transfer functions in the full Limber case (if + this case is not needed, ptr->q_size_limber=0 and the + condition is never met) */ - /* free workspace allocated inside parallel zone */ - class_call_parallel(transfer_workspace_free(ptr,ptw), - ptr->error_message, - ptr->error_message); + if (index_q < ptr->q_size_limber) { -#ifdef _OPENMP - if (ptr->transfer_verbose>1) - printf("In %s: time spent in parallel region (loop over k's) = %e s for thread %d\n", - __func__,tspent,omp_get_thread_num()); -#endif + class_call(transfer_compute_for_each_q(ppr, + pba, + ppt, + ptr, + tp_of_tt, + index_q, + tau_size_max, + tau_rec, + sources, + sources_spline, + window, + ptw, + _TRUE_), + ptr->error_message, + ptr->error_message); + } - } /* end of parallel region */ + class_call(transfer_workspace_free(ptr,ptw), + ptr->error_message, + ptr->error_message); + return _SUCCESS_; + ); + } /* end of loop over wavenumber */ - if (abort == _TRUE_) return _FAILURE_; + class_finish_parallel(); /** - finally, free arrays allocated outside parallel zone */ + free(window); class_call(transfer_perturbation_sources_spline_free(ppt,ptr,sources_spline), ptr->error_message, ptr->error_message); - class_call(transfer_perturbation_sources_free(ppt,pnl,ptr,sources), + class_call(transfer_perturbation_sources_free(ppt,pfo,ptr,sources), ptr->error_message, ptr->error_message); @@ -404,6 +397,7 @@ int transfer_init( class_call(hyperspherical_HIS_free(&BIS,ptr->error_message), ptr->error_message, ptr->error_message); + return _SUCCESS_; } @@ -413,12 +407,12 @@ int transfer_init( * To be called at the end of each run, only when no further calls to * transfer_functions_at_k() are needed. * - * @param ptr Input: pointer to transfers structure (which fields must be freed) + * @param ptr Input: pointer to transfer structure (which fields must be freed) * @return the error status */ int transfer_free( - struct transfers * ptr + struct transfer * ptr ) { int index_md; @@ -429,6 +423,10 @@ int transfer_free( free(ptr->l_size_tt[index_md]); free(ptr->transfer[index_md]); free(ptr->k[index_md]); + if (ptr->do_lcmb_full_limber == _TRUE_) { + free(ptr->transfer_limber[index_md]); + free(ptr->k_limber[index_md]); + } } free(ptr->tt_size); @@ -438,6 +436,11 @@ int transfer_free( free(ptr->q); free(ptr->k); free(ptr->transfer); + if (ptr->do_lcmb_full_limber == _TRUE_) { + free(ptr->q_limber); + free(ptr->k_limber); + free(ptr->transfer_limber); + } if (ptr->nz_size > 0) { free(ptr->nz_z); @@ -459,10 +462,10 @@ int transfer_free( /** * This routine defines all indices and allocates all tables - * in the transfers structure + * in the transfer structure * * Compute list of (k, l) values, allocate and fill corresponding - * arrays in the transfers structure. Allocate the array of transfer + * arrays in the transfer structure. Allocate the array of transfer * function tables. * * @param ppr Input: pointer to precision structure @@ -474,14 +477,14 @@ int transfer_free( * @return the error status */ -int transfer_indices_of_transfers( - struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, - double q_period, - double K, - int sgnK - ) { +int transfer_indices( + struct precision * ppr, + struct perturbations * ppt, + struct transfer * ptr, + double q_period, + double K, + int sgnK + ) { /** Summary: */ @@ -569,6 +572,9 @@ int transfer_indices_of_transfers( /* array (of array) of transfer functions for each mode, transfer[index_md] */ class_alloc(ptr->transfer,ptr->md_size * sizeof(double *),ptr->error_message); + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_alloc(ptr->transfer_limber,ptr->md_size * sizeof(double *),ptr->error_message); + } /** - get q values using transfer_get_q_list() */ @@ -576,7 +582,19 @@ int transfer_indices_of_transfers( ptr->error_message, ptr->error_message); + /** - get q values in full Limber case using transfer_get_q_limber_list() */ + + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_call(transfer_get_q_limber_list(ppr,ppt,ptr,K,sgnK), + ptr->error_message, + ptr->error_message); + } + else { + ptr->q_size_limber=0; + } + /** - get k values using transfer_get_k_list() */ + class_call(transfer_get_k_list(ppt,ptr,K), ptr->error_message, ptr->error_message); @@ -615,6 +633,12 @@ int transfer_indices_of_transfers( ppt->ic_size[index_md] * ptr->tt_size[index_md] * ptr->l_size[index_md] * ptr->q_size * sizeof(double), ptr->error_message); + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_alloc(ptr->transfer_limber[index_md], + ppt->ic_size[index_md] * ptr->tt_size[index_md] * ptr->l_size[index_md] * ptr->q_size_limber * sizeof(double), + ptr->error_message); + } + } return _SUCCESS_; @@ -622,9 +646,9 @@ int transfer_indices_of_transfers( } int transfer_perturbation_copy_sources_and_nl_corrections( - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr, double *** sources ) { int index_md; @@ -643,7 +667,7 @@ int transfer_perturbation_copy_sources_and_nl_corrections( for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { - if ((pnl->method != nl_none) && (_scalars_) && + if ((pfo->method != nl_none) && (_scalars_) && (((ppt->has_source_delta_m == _TRUE_) && (index_tp == ppt->index_tp_delta_m)) || ((ppt->has_source_delta_cb == _TRUE_) && (index_tp == ppt->index_tp_delta_cb)) || ((ppt->has_source_theta_m == _TRUE_) && (index_tp == ppt->index_tp_theta_m)) || @@ -659,25 +683,25 @@ int transfer_perturbation_copy_sources_and_nl_corrections( for (index_tau=0; index_tautau_size; index_tau++) { for (index_k=0; index_kk_size[index_md]; index_k++) { - if (((ppt->has_source_delta_cb == _TRUE_) && (index_tp == ppt->index_tp_delta_cb)) || - ((ppt->has_source_theta_cb == _TRUE_) && (index_tp == ppt->index_tp_theta_cb))){ - sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_tp] - [index_tau * ppt->k_size[index_md] + index_k] = - ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_tp] - [index_tau * ppt->k_size[index_md] + index_k] - * pnl->nl_corr_density[pnl->index_pk_cb][index_tau * ppt->k_size[index_md] + index_k]; - } - else{ - sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_tp] - [index_tau * ppt->k_size[index_md] + index_k] = - ppt->sources[index_md] - [index_ic * ppt->tp_size[index_md] + index_tp] - [index_tau * ppt->k_size[index_md] + index_k] - * pnl->nl_corr_density[pnl->index_pk_m][index_tau * ppt->k_size[index_md] + index_k]; - } + if (((ppt->has_source_delta_cb == _TRUE_) && (index_tp == ppt->index_tp_delta_cb)) || + ((ppt->has_source_theta_cb == _TRUE_) && (index_tp == ppt->index_tp_theta_cb))){ + sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size[index_md] + index_k] = + ppt->sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size[index_md] + index_k] + * pfo->nl_corr_density[pfo->index_pk_cb][index_tau * ppt->k_size[index_md] + index_k]; + } + else{ + sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size[index_md] + index_k] = + ppt->sources[index_md] + [index_ic * ppt->tp_size[index_md] + index_tp] + [index_tau * ppt->k_size[index_md] + index_k] + * pfo->nl_corr_density[pfo->index_pk_m][index_tau * ppt->k_size[index_md] + index_k]; + } } } } @@ -695,8 +719,8 @@ int transfer_perturbation_copy_sources_and_nl_corrections( int transfer_perturbation_source_spline( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double *** sources, double *** sources_spline ) { @@ -737,9 +761,9 @@ int transfer_perturbation_source_spline( } int transfer_perturbation_sources_free( - struct perturbs * ppt, - struct nonlinear * pnl, - struct transfers * ptr, + struct perturbations * ppt, + struct fourier * pfo, + struct transfer * ptr, double *** sources ) { int index_md; @@ -749,7 +773,7 @@ int transfer_perturbation_sources_free( for (index_md = 0; index_md < ptr->md_size; index_md++) { for (index_ic = 0; index_ic < ppt->ic_size[index_md]; index_ic++) { for (index_tp = 0; index_tp < ppt->tp_size[index_md]; index_tp++) { - if ((pnl->method != nl_none) && (_scalars_) && + if ((pfo->method != nl_none) && (_scalars_) && (((ppt->has_source_delta_m == _TRUE_) && (index_tp == ppt->index_tp_delta_m)) || ((ppt->has_source_theta_m == _TRUE_) && (index_tp == ppt->index_tp_theta_m)) || ((ppt->has_source_delta_cb == _TRUE_) && (index_tp == ppt->index_tp_delta_cb)) || @@ -771,8 +795,8 @@ int transfer_perturbation_sources_free( } int transfer_perturbation_sources_spline_free( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double *** sources_spline ) { int index_md; @@ -797,14 +821,14 @@ int transfer_perturbation_sources_spline_free( * * @param ppr Input: pointer to precision structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input/Output: pointer to transfers structure containing l's + * @param ptr Input/Output: pointer to transfer structure containing l's * @return the error status */ int transfer_get_l_list( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr + struct perturbations * ppt, + struct transfer * ptr ) { int index_l; @@ -993,7 +1017,7 @@ int transfer_get_l_list( * * @param ppr Input: pointer to precision structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input/Output: pointer to transfers structure containing q's + * @param ptr Input/Output: pointer to transfer structure containing q's * @param q_period Input: order of magnitude of the oscillation period of transfer functions * @param K Input: spatial curvature (in absolute value) * @param sgnK Input: spatial curvature sign (open/closed/flat) @@ -1002,8 +1026,8 @@ int transfer_get_l_list( int transfer_get_q_list( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double q_period, double K, int sgnK @@ -1191,13 +1215,9 @@ int transfer_get_q_list( class_test(ptr->q_size<2,ptr->error_message,"buggy q-list definition"); - //fprintf(stderr,"q_size_max=%d q_size = %d\n",q_size_max,ptr->q_size); - //fprintf(stderr,"q_size = %d\n",ptr->q_size); - /* now, readjust array size */ class_realloc(ptr->q, - ptr->q, ptr->q_size*sizeof(double), ptr->error_message); @@ -1221,19 +1241,104 @@ int transfer_get_q_list( } +/** + * This routine defines the number and values of wavenumbers q_limber for + * each mode (logarithmic step only). + * + * @param ppr Input: pointer to precision structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input/Output: pointer to transfer structure containing q's + * @param K Input: spatial curvature (in absolute value) + * @param sgnK Input: spatial curvature sign (open/closed/flat) + * @return the error status + */ + +int transfer_get_q_limber_list( + struct precision * ppr, + struct perturbations * ppt, + struct transfer * ptr, + double K, + int sgnK + ) { + + int index_q; + double q_min=0.,q_max=0.,k_max; + int nu_min; + int index_md; + + /* first and last value in flat case*/ + + if (sgnK == 0) { + q_min = ppt->k_min; + + q_max = 0.; + for (index_md=0; index_mdmd_size; index_md++) { + q_max = MAX(q_max,ppt->k[index_md][ppt->k_size[index_md]-1]); + } + + K=0; + } + + /* first and last value in open case*/ + + else if (sgnK == -1) { + q_min = sqrt(ppt->k_min*ppt->k_min+K); + + k_max = 0.; + for (index_md=0; index_mdmd_size; index_md++) { + k_max = MAX(k_max,ppt->k[index_md][ppt->k_size[index_md]-1]); + } + + q_max = sqrt(k_max*k_max+K); + if (ppt->has_vectors == _TRUE_) + q_max = MIN(q_max,sqrt(k_max*k_max+2.*K)); + if (ppt->has_tensors == _TRUE_) + q_max = MIN(q_max,sqrt(k_max*k_max+3.*K)); + } + + /* first and last value in closed case*/ + + else if (sgnK == 1) { + nu_min = 3; + q_min = nu_min * sqrt(K); + + q_max = 0.; + for (index_md=0; index_mdmd_size; index_md++) { + q_max = MAX(q_max,ppt->k[index_md][ppt->k_size[index_md]-1]); + } + } + + /* number of values */ + ptr->q_size_limber = (int)(log(q_max/q_min)/log(ppr->q_logstep_limber))+1; + + class_alloc(ptr->q_limber, + ptr->q_size_limber*sizeof(double), + ptr->error_message); + + /* assign the first value before starting the loop */ + + ptr->q_limber[0] = q_min; + for (index_q = 1; index_q < ptr->q_size_limber; index_q++) { + ptr->q_limber[index_q] = ppr->q_logstep_limber * ptr->q_limber[index_q-1]; + } + + return _SUCCESS_; + +} + /** * This routine infers from the q values a list of corresponding k * values for each mode. * * @param ppt Input: pointer to perturbation structure - * @param ptr Input/Output: pointer to transfers structure containing q's + * @param ptr Input/Output: pointer to transfer structure containing q's * @param K Input: spatial curvature * @return the error status */ int transfer_get_k_list( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double K ) { @@ -1242,10 +1347,16 @@ int transfer_get_k_list( double m=0.; class_alloc(ptr->k,ptr->md_size*sizeof(double*),ptr->error_message); + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_alloc(ptr->k_limber,ptr->md_size*sizeof(double*),ptr->error_message); + } for (index_md = 0; index_md < ptr->md_size; index_md++) { class_alloc(ptr->k[index_md],ptr->q_size*sizeof(double),ptr->error_message); + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_alloc(ptr->k_limber[index_md],ptr->q_size_limber*sizeof(double),ptr->error_message); + } if (_scalars_) { m=0.; @@ -1260,10 +1371,16 @@ int transfer_get_k_list( for (index_q=0; index_q < ptr->q_size; index_q++) { ptr->k[index_md][index_q] = sqrt(ptr->q[index_q]*ptr->q[index_q]-K*(m+1.)); } + if (ptr->do_lcmb_full_limber == _TRUE_) { + for (index_q=0; index_q < ptr->q_size_limber; index_q++) { + ptr->k_limber[index_md][index_q] = sqrt(ptr->q_limber[index_q]*ptr->q_limber[index_q]-K*(m+1.)); + } + } + /* check consistency of the first value of ptr->k */ if (ptr->k[index_md][0] < ppt->k[index_md][0]){ /* If ptr->k[index_md][0] < ppt->k[index_md][0] at the level of rounding, - adjust first value of k_list to avoid interpolation errors: */ + adjust first value of k_list to avoid interpolation errors: */ if ((ppt->k[index_md][0]-ptr->k[index_md][0]) < 10.*DBL_EPSILON){ ptr->k[index_md][0] = ppt->k[index_md][0]; } @@ -1276,21 +1393,41 @@ int transfer_get_k_list( } } - /* - class_test(ptr->k[index_md][0] < ppt->k[index_md][0], - ptr->error_message, - "bug in k_list calculation: in perturbation module k_min=%e, in transfer module k_min[mode=%d]=%e, interpolation impossible", - ppt->k[0][0], - index_md, - ptr->k[index_md][0]); - */ + /* check consistency of the first value of ptr->k_limber */ + if (ptr->do_lcmb_full_limber == _TRUE_) { + if (ptr->k_limber[index_md][0] < ppt->k[index_md][0]){ + /* If ptr->k_limber[index_md][0] < ppt->k[index_md][0] at the level of rounding, + adjust first value of k_list to avoid interpolation errors: */ + if ((ppt->k[index_md][0]-ptr->k_limber[index_md][0]) < 10.*DBL_EPSILON){ + ptr->k_limber[index_md][0] = ppt->k[index_md][0]; + } + else{ + class_stop(ptr->error_message, + "bug in k_list calculation: in perturbation module k_min=%e, in transfer module k_min[mode=%d]=%e, interpolation impossible", + ppt->k[0][0], + index_md, + ptr->k_limber[index_md][0]); + } + } + } + + /* check consistency of the last value of ptr->k compared to the one of ppt->k across all modes (hence the 0 index) */ class_test(ptr->k[index_md][ptr->q_size-1] > ppt->k[0][ppt->k_size_cl[0]-1], ptr->error_message, "bug in k_list calculation: in perturbation module k_max=%e, in transfer module k_max[mode=%d]=%e, interpolation impossible", - ppt->k[0][ppt->k_size_cl[0]], + ppt->k[0][ppt->k_size_cl[0]-1], index_md, ptr->k[index_md][ptr->q_size-1]); + /* check consistency of the last value of ptr->k_limber compared to the one of ppt->k across all modes (hence the 0 index) */ + if (ptr->do_lcmb_full_limber == _TRUE_) { + class_test(ptr->k_limber[index_md][ptr->q_size_limber-1] > ppt->k[0][ppt->k_size[0]-1], + ptr->error_message, + "bug in k_list calculation: in perturbation module k_max=%e, in transfer module k_max[mode=%d]=%e, interpolation impossible", + ppt->k[0][ppt->k_size[0]-1], + index_md, + ptr->k_limber[index_md][ptr->q_size_limber-1]); + } } @@ -1303,17 +1440,17 @@ int transfer_get_k_list( * perturbation and transfer module. * * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure containing l's + * @param ptr Input: pointer to transfer structure containing l's * @param tp_of_tt Input/Output: array with the correspondence (allocated before, filled here) * @return the error status */ int transfer_get_source_correspondence( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int ** tp_of_tt ) { -/** Summary: */ + /** Summary: */ /** - running index on modes */ int index_md; @@ -1417,7 +1554,7 @@ int transfer_get_source_correspondence( } int transfer_free_source_correspondence( - struct transfers * ptr, + struct transfer * ptr, int ** tp_of_tt ) { @@ -1435,8 +1572,8 @@ int transfer_free_source_correspondence( int transfer_source_tau_size_max( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double tau_rec, double tau0, int * tau_size_max @@ -1483,7 +1620,7 @@ int transfer_source_tau_size_max( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param tau_rec Input: recombination time * @param tau0 Input: time today * @param index_md Input: index of the mode (scalar, tensor) @@ -1495,8 +1632,8 @@ int transfer_source_tau_size_max( int transfer_source_tau_size( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double tau_rec, double tau0, int index_md, @@ -1539,14 +1676,7 @@ int transfer_source_tau_size( } /* density Cl's */ - if ((_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) || - (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) - ) { + if (_nonintegrated_ncl_) { /* bin number associated to particular redshift bin and selection function */ if (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) @@ -1603,18 +1733,14 @@ int transfer_source_tau_size( We need to cut the interval (tau_max-tau_min) in pieces of size [Delta tau]=2pi/k_max. This gives the number below. */ - *tau_size=MAX(*tau_size,(int)((tau_max-tau_min)/((tau0-tau_mean)/l_limber))*ppr->selection_sampling_bessel); + *tau_size=MAX(*tau_size,(int)((tau_max-tau_min)/((tau0-tau_mean)/MIN(l_limber,ppt->l_lss_max)))*ppr->selection_sampling_bessel); } } /* galaxy lensing Cl's, differs from density Cl's since the source function will spread from the selection function region up to tau0 */ - if ((_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) || - (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) || - (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) - ) { + if (_integrated_ncl_) { /* bin number associated to particular redshift bin and selection function */ if (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) @@ -1646,10 +1772,10 @@ int transfer_source_tau_size( /* value of l at which the code switches to Limber approximation (necessary for next step) */ - if(_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) { + if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) { /* Even if G5 is integrated along the line-of-sight, we do not apply the same Limber criteria as for the other integrated terms, because here we have the derivative of the Bessel. */ l_limber=ppr->l_switch_limber_for_nc_local_over_z*ppt->selection_mean[bin]; - *tau_size=MAX(*tau_size,(int)((tau0-tau_min)/((tau0-tau_mean)/2./l_limber))*ppr->selection_sampling_bessel); + *tau_size=MAX(*tau_size,(int)((tau0-tau_min)/((tau0-tau_mean)/2./MIN(l_limber,ppt->l_lss_max)))*ppr->selection_sampling_bessel); } else { l_limber=ppr->l_switch_limber_for_nc_los_over_z*ppt->selection_mean[bin]; @@ -1661,7 +1787,7 @@ int transfer_source_tau_size( We need to cut the interval (tau_0-tau_min) in pieces of size [Delta tau]=2pi/k_max. This gives the number below. */ - *tau_size=MAX(*tau_size,(int)((tau0-tau_min)/((tau0-tau_mean)/2./l_limber))*ppr->selection_sampling_bessel_los); + *tau_size=MAX(*tau_size,(int)((tau0-tau_min)/((tau0-tau_mean)/2./MIN(l_limber,ppt->l_lss_max)))*ppr->selection_sampling_bessel_los); } } } @@ -1679,15 +1805,17 @@ int transfer_source_tau_size( int transfer_compute_for_each_q( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int ** tp_of_tt, int index_q, int tau_size_max, double tau_rec, double *** pert_sources, double *** pert_sources_spline, - struct transfer_workspace * ptw + double * window, + struct transfer_workspace * ptw, + short use_full_limber ) { /** Summary: */ @@ -1704,8 +1832,8 @@ int transfer_compute_for_each_q( int index_l; /** - we deal with workspaces, i.e. with contiguous memory zones (one - per thread) containing various fields used by the integration - routine */ + per thread) containing various fields used by the integration + routine */ /* - first workspace field: perturbation source interpolated from perturbation structure */ double * interpolated_sources; @@ -1725,7 +1853,7 @@ int transfer_compute_for_each_q( /** - for a given l, maximum value of k such that we can convolve the source with Bessel functions j_l(x) without reaching x_max */ - double q_max_bessel; + double q_max_bessel=0.; /* a value of index_type */ int previous_type; @@ -1736,6 +1864,8 @@ int transfer_compute_for_each_q( radial_function_type radial_type; + double q,k,k_max; + /** - store the sources in the workspace and define all fields in this workspace */ interpolated_sources = ptw->interpolated_sources; @@ -1748,9 +1878,21 @@ int transfer_compute_for_each_q( for (index_md = 0; index_md < ptr->md_size; index_md++) { + if (use_full_limber == _FALSE_) { + q = ptr->q[index_q]; + k = ptr->k[index_md][index_q]; + k_max = ppt->k[index_md][ppt->k_size_cl[index_md]-1]; + } + else { + q = ptr->q_limber[index_q]; + k = ptr->k_limber[index_md][index_q]; + k_max = ppt->k[index_md][ppt->k_size[index_md]-1]; + } + + /* if we reached q_max for this mode, there is nothing to be done */ - if (ptr->k[index_md][index_q] <= ppt->k[index_md][ppt->k_size_cl[index_md]-1]) { + if (k <= k_max) { /** - loop over initial conditions. */ /* For each of them: */ @@ -1764,149 +1906,192 @@ int transfer_compute_for_each_q( for (index_tt = 0; index_tt < ptr->tt_size[index_md]; index_tt++) { - /** - check if we must now deal with a new source with a - new index ppt->index_type. If yes, interpolate it at the - right values of k. */ - - if (tp_of_tt[index_md][index_tt] != previous_type) { - - class_call(transfer_interpolate_sources(ppt, - ptr, - index_q, - index_md, - index_ic, - tp_of_tt[index_md][index_tt], - pert_sources[index_md][index_ic * ppt->tp_size[index_md] + tp_of_tt[index_md][index_tt]], - pert_sources_spline[index_md][index_ic * ppt->tp_size[index_md] + tp_of_tt[index_md][index_tt]], - interpolated_sources), - ptr->error_message, - ptr->error_message); - } - previous_type = tp_of_tt[index_md][index_tt]; + /** - define here wich transfer fucntion should be computed + in the standard way and full limber way. Currently: + compute all transfer functions in the standard way and + only the lensing CMB potential in the full limber + way. */ - /* the code makes a distinction between "perturbation - sources" (e.g. gravitational potential) and "transfer - sources" (e.g. total density fluctuations, obtained - through the Poisson equation, and observed with a given - selection function). + if ((use_full_limber == _FALSE_) || (index_tt == ptr->index_tt_lcmb)) { - The next routine computes the transfer source given the - interpolated perturbation source, and copies it in the - workspace. */ + /** - check if we must now deal with a new source with a + new index ppt->index_type. If yes, interpolate it at the + right values of k. */ - class_call(transfer_sources(ppr, - pba, - ppt, - ptr, - interpolated_sources, - tau_rec, - index_q, - index_md, - index_tt, - sources, - tau0_minus_tau, - w_trapz, - tau_size), - ptr->error_message, - ptr->error_message); + if (tp_of_tt[index_md][index_tt] != previous_type) { - /* now that the array of times tau0_minus_tau is known, we can - infer the array of radial coordinates r(tau0_minus_tau) as well as a - few other quantities related by trigonometric functions */ + class_call(transfer_interpolate_sources(ppt, + ptr, + k, + index_md, + index_ic, + tp_of_tt[index_md][index_tt], + pert_sources[index_md][index_ic * ppt->tp_size[index_md] + tp_of_tt[index_md][index_tt]], + pert_sources_spline[index_md][index_ic * ppt->tp_size[index_md] + tp_of_tt[index_md][index_tt]], + interpolated_sources), + ptr->error_message, + ptr->error_message); + } - class_call(transfer_radial_coordinates(ptr,ptw,index_md,index_q), - ptr->error_message, - ptr->error_message); + previous_type = tp_of_tt[index_md][index_tt]; - /** - Select radial function type */ - class_call(transfer_select_radial_function( - ppt, - ptr, - index_md, - index_tt, - &radial_type), - ptr->error_message, - ptr->error_message); + /* the code makes a distinction between "perturbation + sources" (e.g. gravitational potential) and "transfer + sources" (e.g. total density fluctuations, obtained + through the Poisson equation, and observed with a given + selection function). - for (index_l = 0; index_l < ptr->l_size[index_md]; index_l++) { + The next routine computes the transfer source given the + interpolated perturbation source, and copies it in the + workspace. */ + + class_call(transfer_sources(ppr, + pba, + ppt, + ptr, + interpolated_sources, + tau_rec, + k, + index_md, + index_tt, + sources, + window, + tau_size_max, + tau0_minus_tau, + w_trapz, + tau_size), + ptr->error_message, + ptr->error_message); - l = (double)ptr->l[index_l]; + /* now that the array of times tau0_minus_tau is known, we can + infer the array of radial coordinates r(tau0_minus_tau) as well as a + few other quantities related by trigonometric functions */ - /* neglect transfer function when l is much smaller than k*tau0 */ - class_call(transfer_can_be_neglected(ppr, - ppt, - ptr, - index_md, - index_ic, - index_tt, - (pba->conformal_age-tau_rec)*ptr->angular_rescaling, - ptr->q[index_q], - l, - &neglect), + class_call(transfer_radial_coordinates(ptr,ptw,index_md,index_q), ptr->error_message, ptr->error_message); - /* for K>0 (closed), transfer functions only defined for lsgnK == 1) && (ptr->l[index_l] >= (int)(ptr->q[index_q]/sqrt(ptw->K)+0.2))) { - neglect = _TRUE_; - } - /* This would maybe go into transfer_can_be_neglected later: */ - if ((ptw->sgnK != 0) && (index_l>=ptw->HIS.l_size) && (index_q < ptr->index_q_flat_approximation)) { - neglect = _TRUE_; - } - if (neglect == _TRUE_) { + /** - Select radial function type */ + class_call(transfer_select_radial_function( + ppt, + ptr, + index_md, + index_tt, + &radial_type), + ptr->error_message, + ptr->error_message); - ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q] = 0.; - } - else { + for (index_l = 0; index_l < ptr->l_size[index_md]; index_l++) { + + l = (double)ptr->l[index_l]; + + /* neglect transfer function when l is much smaller than k*tau0 */ + class_call(transfer_can_be_neglected(ppr, + ppt, + ptr, + index_md, + index_ic, + index_tt, + (pba->conformal_age-tau_rec)*ptr->angular_rescaling, + ptr->q[index_q], + l, + &neglect), + ptr->error_message, + ptr->error_message); + + /* for K>0 (closed), transfer functions only defined for lsgnK == 1) && (ptr->l[index_l] >= (int)(q/sqrt(ptw->K)+0.2))) { + neglect = _TRUE_; + } + /* This would maybe go into transfer_can_be_neglected later: */ + if ((ptw->sgnK != 0) && (index_l>=ptw->HIS.l_size) && (index_q < ptr->index_q_flat_approximation) && (use_full_limber == _FALSE_)) { + neglect = _TRUE_; + } + if (neglect == _TRUE_) { - /* for a given l, maximum value of k such that we can - convolve the source with Bessel functions j_l(x) - without reaching x_max (this is relevant in the flat - case when the bessels are computed with the old bessel - module. otherwise this condition is guaranteed by the - choice of proper xmax when computing bessels) */ - if (ptw->sgnK == 0) { - q_max_bessel = ptw->pBIS->x[ptw->pBIS->x_size-1]/tau0_minus_tau[0]; + if (use_full_limber == _FALSE_) { + ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q] = 0.; + } + else { + ptr->transfer_limber[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q] = 0.; + } } else { - q_max_bessel = ptr->q[ptr->q_size-1]; + + if (use_full_limber == _FALSE_) { + + /* for a given l, maximum value of k such that we can + convolve the source with Bessel functions j_l(x) + without reaching x_max (this is relevant in the flat + case when the bessels are computed with the old bessel + module. otherwise this condition is guaranteed by the + choice of proper xmax when computing bessels) */ + if (ptw->sgnK == 0) { + q_max_bessel = ptw->pBIS->x[ptw->pBIS->x_size-1]/tau0_minus_tau[0]; + } + else { + q_max_bessel = ptr->q[ptr->q_size-1]; + } + + /* neglect late time CMB sources when l is above threshold */ + class_call(transfer_late_source_can_be_neglected(ppr, + ppt, + ptr, + index_md, + index_tt, + l, + &(ptw->neglect_late_source)), + ptr->error_message, + ptr->error_message); + } + + /* note: if use_full_limber == _TRUE_, q_max_bessel is + still equal to zero at this stage, but this is OK + because in this case it will never be used, not + even inside transfer_compute_for_each_l() */ + + /* compute the transfer function for this l */ + class_call(transfer_compute_for_each_l( + ptw, + ppr, + ppt, + ptr, + index_q, + index_md, + index_ic, + index_tt, + index_l, + l, + q_max_bessel, + radial_type, + use_full_limber + ), + ptr->error_message, + ptr->error_message); } - /* neglect late time CMB sources when l is above threshold */ - class_call(transfer_late_source_can_be_neglected(ppr, - ppt, - ptr, - index_md, - index_tt, - l, - &(ptw->neglect_late_source)), - ptr->error_message, - ptr->error_message); + } /* end of loop over l */ - /* compute the transfer function for this l */ - class_call(transfer_compute_for_each_l( - ptw, - ppr, - ppt, - ptr, - index_q, - index_md, - index_ic, - index_tt, - index_l, - l, - q_max_bessel, - radial_type - ), - ptr->error_message, - ptr->error_message); + } + else { + for (index_l = 0; index_l < ptr->l_size[index_md]; index_l++) { + if (use_full_limber == _FALSE_) { + ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q] = 0.; + } + else { + ptr->transfer_limber[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q] = 0.; + } } - - } /* end of loop over l */ + } } /* end of loop over type */ @@ -1920,9 +2105,16 @@ int transfer_compute_for_each_q( for (index_tt = 0; index_tt < ptr->tt_size[index_md]; index_tt++) { for (index_l = 0; index_l < ptr->l_size[index_md]; index_l++) { - ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q] = 0.; + if (use_full_limber == _FALSE_) { + ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q] = 0.; + } + else { + ptr->transfer_limber[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q] = 0.; + } } } } @@ -1935,7 +2127,7 @@ int transfer_compute_for_each_q( } int transfer_radial_coordinates( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_md, int index_q @@ -1980,8 +2172,8 @@ int transfer_radial_coordinates( * the right values of k, using the spline interpolation method. * * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure - * @param index_q Input: index of wavenumber + * @param ptr Input: pointer to transfer structure + * @param k Input: wavenumber at which to interpolate * @param index_md Input: index of mode * @param index_ic Input: index of initial condition * @param index_type Input: index of type of source (in perturbation module) @@ -1992,15 +2184,15 @@ int transfer_radial_coordinates( */ int transfer_interpolate_sources( - struct perturbs * ppt, - struct transfers * ptr, - int index_q, + struct perturbations * ppt, + struct transfer * ptr, + double k, int index_md, int index_ic, int index_type, double * pert_source, /* array with argument pert_source[index_tau*ppt->k_size[index_md]+index_k] (must be allocated) */ double * pert_source_spline, /* array with argument pert_source_spline[index_tau*ppt->k_size[index_md]+index_k] (must be allocated) */ - double * interpolated_sources /* array with argument interpolated_sources[index_q*ppt->tau_size+index_tau] (must be allocated) */ + double * interpolated_sources /* array with argument interpolated_sources[index_tau] (must be allocated) */ ) { /** Summary: */ @@ -2023,8 +2215,7 @@ int transfer_interpolate_sources( h = ppt->k[index_md][index_k+1] - ppt->k[index_md][index_k]; while (((index_k+1) < ppt->k_size[index_md]) && - (ppt->k[index_md][index_k+1] < - ptr->k[index_md][index_q])) { + (ppt->k[index_md][index_k+1] < k)) { index_k++; h = ppt->k[index_md][index_k+1] - ppt->k[index_md][index_k]; } @@ -2033,7 +2224,7 @@ int transfer_interpolate_sources( ptr->error_message, "stop to avoid division by zero"); - b = (ptr->k[index_md][index_q] - ppt->k[index_md][index_k])/h; + b = (k - ppt->k[index_md][index_k])/h; a = 1.-b; for (index_tau = 0; index_tau < ppt->tau_size; index_tau++) { @@ -2062,13 +2253,15 @@ int transfer_interpolate_sources( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param interpolated_sources Input: interpolated perturbation source * @param tau_rec Input: recombination time - * @param index_q Input: index of wavenumber + * @param k Input: wavenumber * @param index_md Input: index of mode * @param index_tt Input: index of type of (transfer) source * @param sources Output: transfer source + * @param window Input: window functions for each type and time + * @param tau_size_max Input: number of times at wich window fucntions are sampled * @param tau0_minus_tau Output: values of (tau0-tau) at which source are sample * @param w_trapz Output: trapezoidal weights for integration over tau * @param tau_size_out Output: pointer to size of previous two arrays, converted to double @@ -2078,14 +2271,16 @@ int transfer_interpolate_sources( int transfer_sources( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double * interpolated_sources, double tau_rec, - int index_q, + double k, int index_md, int index_tt, double * sources, + double * window, + int tau_size_max, double * tau0_minus_tau, double * w_trapz, int * tau_size_out @@ -2107,77 +2302,30 @@ int transfer_sources( /* minimum tau index kept in transfer sources */ int index_tau_min; - /* for calling background_at_eta */ - int last_index; - double * pvecback = NULL; - /* conformal time */ double tau, tau0; - /* geometrical quantities */ - double sinKgen_source=0.; - double sinKgen_source_to_lens=0.; - double cotKgen_source=0.; - double cscKgen_lens=0.; - /* rescaling factor depending on the background at a given time */ double rescaling=0.; /* flag: is there any difference between the perturbation and transfer source? */ short redefine_source; - /* array of selection function values at different times */ - double * selection; - - /* array of time sampling for lensing source selection function */ - double * tau0_minus_tau_lensing_sources; + /** - in which cases are perturbation and transfer sources are different? + I.e., in which case do we need to multiply the sources by some + background and/or window function, and eventually to resample it, + or redefine its time limits? */ - /* trapezoidal weights for lensing source selection function */ - double * w_trapz_lensing_sources; + redefine_source = _FALSE_; - /* index running on time in previous two arrays */ - int index_tau_sources; + if (_scalars_) { - /* number of time values in previous two arrays */ - int tau_sources_size; - - /* source evolution factor */ - double f_evo = 0.; - - /* when the selection function is multiplied by a function dNdz */ - double z; - double dNdz; - double dln_dNdz_dz; - - /** - in which cases are perturbation and transfer sources are different? - I.e., in which case do we need to multiply the sources by some - background and/or window function, and eventually to resample it, - or redefine its time limits? */ - - redefine_source = _FALSE_; - - if (_scalars_) { - - /* cmb lensing potential */ - if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (index_tt == ptr->index_tt_lcmb)) - redefine_source = _TRUE_; + /* cmb lensing potential */ + if ((ppt->has_cl_cmb_lensing_potential == _TRUE_) && (index_tt == ptr->index_tt_lcmb)) + redefine_source = _TRUE_; /* number count Cl's */ - if ((_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) || - (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens))|| - (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) - ) - redefine_source = _TRUE_; - - /* galaxy lensing potential */ - if ((ppt->has_cl_lensing_potential == _TRUE_) && (index_tt >= ptr->index_tt_lensing) && (index_tt < ptr->index_tt_lensing+ppt->selection_num)) + if (_nonintegrated_ncl_ || _integrated_ncl_) redefine_source = _TRUE_; } @@ -2186,7 +2334,7 @@ int transfer_sources( tau0 = pba->conformal_age; /** - case where we need to redefine by a window function (or any - function of the background and of k) */ + function of the background and of k) */ if (redefine_source == _TRUE_) { class_call(transfer_source_tau_size(ppr, @@ -2254,7 +2402,7 @@ int transfer_sources( interpolated_sources[index_tau] * rescaling * ptr->lcmb_rescale - * pow(ptr->k[index_md][index_q]/ptr->lcmb_pivot,ptr->lcmb_tilt); + * pow(k/ptr->lcmb_pivot,ptr->lcmb_tilt); /* store value of (tau0-tau) */ tau0_minus_tau[index_tau-index_tau_min] = tau0 - tau; @@ -2270,55 +2418,22 @@ int transfer_sources( ptr->error_message); } - /* density source: redefine the time sampling, multiply by - coefficient of Poisson equation, and multiply by selection - function */ - - if ((_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) || - (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) - ) { - - /* bin number associated to particular redshift bin and selection function */ - if (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) - bin = index_tt - ptr->index_tt_density; - - if (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) - bin = index_tt - ptr->index_tt_rsd; - - if (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) - bin = index_tt - ptr->index_tt_d0; - - if (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) - bin = index_tt - ptr->index_tt_d1; - - if (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) - bin = index_tt - ptr->index_tt_nc_g1; - - if (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) - bin = index_tt - ptr->index_tt_nc_g2; + /* Non-integrated contributions to dCl/nCl need selection time sampling*/ - if (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) - bin = index_tt - ptr->index_tt_nc_g3; + if (_nonintegrated_ncl_) { - /* allocate temporary arrays for storing sources and for calling background */ - class_alloc(selection,tau_size*sizeof(double),ptr->error_message); - class_alloc(pvecback,pba->bg_size*sizeof(double),ptr->error_message); + _get_bin_nonintegrated_ncl_(index_tt) - /* redefine the time sampling */ - class_call(transfer_selection_sampling(ppr, - pba, - ppt, - ptr, - bin, - tau0_minus_tau, - tau_size), - ptr->error_message, - ptr->error_message); + /* redefine the time sampling */ + class_call(transfer_selection_sampling(ppr, + pba, + ppt, + ptr, + bin, + tau0_minus_tau, + tau_size), + ptr->error_message, + ptr->error_message); class_test(tau0 - tau0_minus_tau[0] > ppt->tau_sampling[ppt->tau_size-1], ptr->error_message, @@ -2347,110 +2462,9 @@ int transfer_sources( ptr->error_message, ptr->error_message); - /* compute values of selection function at sampled values of tau */ - class_call(transfer_selection_compute(ppr, - pba, - ppt, - ptr, - selection, - tau0_minus_tau, - w_trapz, - tau_size, - pvecback, - tau0, - bin), - ptr->error_message, - ptr->error_message); - /* loop over time and rescale */ for (index_tau = 0; index_tau < tau_size; index_tau++) { - /* conformal time */ - tau = tau0 - tau0_minus_tau[index_tau]; - - /* geometrical quantity */ - switch (pba->sgnK){ - case 1: - cotKgen_source = sqrt(pba->K)/ptr->k[index_md][index_q] - *cos(tau0_minus_tau[index_tau]*sqrt(pba->K)) - /sin(tau0_minus_tau[index_tau]*sqrt(pba->K)); - break; - case 0: - cotKgen_source = 1./(ptr->k[index_md][index_q]*tau0_minus_tau[index_tau]); - break; - case -1: - cotKgen_source = sqrt(-pba->K)/ptr->k[index_md][index_q] - *cosh(tau0_minus_tau[index_tau]*sqrt(-pba->K)) - /sinh(tau0_minus_tau[index_tau]*sqrt(-pba->K)); - break; - } - - /* corresponding background quantities */ - class_call(background_at_tau(pba, - tau, - pba->long_info, - pba->inter_normal, - &last_index, - pvecback), - pba->error_message, - ptr->error_message); - - /* Source evolution, used by number counf rsd and number count gravity terms */ - - if ((_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || - (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr))) { - - if((ptr->has_nz_evo_file == _TRUE_) || (ptr->has_nz_evo_analytic == _TRUE_)){ - - f_evo = 2./pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]/tau0_minus_tau[index_tau] - + pvecback[pba->index_bg_H_prime]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]; - - z = pba->a_today/pvecback[pba->index_bg_a]-1.; - - if (ptr->has_nz_evo_file ==_TRUE_) { - - class_test((znz_evo_z[0]) || (z>ptr->nz_evo_z[ptr->nz_evo_size-1]), - ptr->error_message, - "Your input file for the selection function only covers the redshift range [%f : %f]. However, your input for the selection function requires z=%f", - ptr->nz_evo_z[0], - ptr->nz_evo_z[ptr->nz_evo_size-1], - z); - - - class_call(array_interpolate_spline( - ptr->nz_evo_z, - ptr->nz_evo_size, - ptr->nz_evo_dlog_nz, - ptr->nz_evo_dd_dlog_nz, - 1, - z, - &last_index, - &dln_dNdz_dz, - 1, - ptr->error_message), - ptr->error_message, - ptr->error_message); - - } - else { - - class_call(transfer_dNdz_analytic(ptr, - z, - &dNdz, - &dln_dNdz_dz), - ptr->error_message, - ptr->error_message); - } - - f_evo -= dln_dNdz_dz/pvecback[pba->index_bg_a]; - } - else { - f_evo = 0.; - } - - } - /* matter density source = [- (dz/dtau) W(z)] * delta_m(k,tau) = W(tau) delta_m(k,tau) with @@ -2461,158 +2475,36 @@ int transfer_sources( regulated anyway by Bessel). */ - if (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) - rescaling = ptr->selection_bias[bin]*selection[index_tau]; - - /* redshift space distortion source = - [- (dz/dtau) W(z)] * (k/H) * theta(k,tau) */ - - if (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) - rescaling = selection[index_tau]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]; + rescaling = window[index_tt*tau_size_max+index_tau]; if (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) - rescaling = (f_evo-3.)*selection[index_tau]*pvecback[pba->index_bg_H]*pvecback[pba->index_bg_a] - /ptr->k[index_md][index_q]/ptr->k[index_md][index_q]; + rescaling *= 1./k/k; // Factor from original ClassGAL paper ( arXiv 1307.1459 ) if (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) - - rescaling = selection[index_tau]*(1. - +pvecback[pba->index_bg_H_prime] - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - /pvecback[pba->index_bg_H] - +(2.-5.*ptr->selection_magnification_bias[bin]) - // /tau0_minus_tau[index_tau] // in flat space - *cotKgen_source*ptr->k[index_md][index_q] // in general case - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - +5.*ptr->selection_magnification_bias[bin] - -f_evo - )/ptr->k[index_md][index_q]; - - if (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) - - rescaling = selection[index_tau]; - - if (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) - - rescaling = -selection[index_tau]*(3. - +pvecback[pba->index_bg_H_prime] - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - /pvecback[pba->index_bg_H] - +(2.-5.*ptr->selection_magnification_bias[bin]) - // /tau0_minus_tau[index_tau] // in flat space - *cotKgen_source*ptr->k[index_md][index_q] // in general case - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - -f_evo - ); - - if (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) - rescaling = selection[index_tau]/pvecback[pba->index_bg_a]/pvecback[pba->index_bg_H]; + rescaling *= 1./k; // Factor from original ClassGAL paper ( arXiv 1307.1459 ) sources[index_tau] *= rescaling; - } - - /* deallocate temporary arrays */ - free(pvecback); - free(selection); } + /* End normal contributions */ - /* lensing potential: eliminate early times, and multiply by selection - function */ - - if ((_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) || - (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) || - (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) || - (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) - ) { + /* Integrated contributions to dCl/nCl/sCl need integrated selection time sampling */ - /* bin number associated to particular redshift bin and selection function */ - if (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) - bin = index_tt - ptr->index_tt_lensing; + if (_integrated_ncl_) { - if (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) - bin = index_tt - ptr->index_tt_nc_lens; + _get_bin_integrated_ncl_(index_tt) - if (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) - bin = index_tt - ptr->index_tt_nc_g4; - - if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) - bin = index_tt - ptr->index_tt_nc_g5; - - /* allocate temporary arrays for storing sources and for calling background */ - class_alloc(pvecback, - pba->bg_size*sizeof(double), - ptr->error_message); - - /* dirac case */ - if (ppt->selection == dirac) { - tau_sources_size=1; - } - /* other cases (gaussian, tophat...) */ - else { - tau_sources_size=ppr->selection_sampling; - } - - class_alloc(selection, - tau_sources_size*sizeof(double), - ptr->error_message); - - class_alloc(tau0_minus_tau_lensing_sources, - tau_sources_size*sizeof(double), - ptr->error_message); - - class_alloc(w_trapz_lensing_sources, - tau_sources_size*sizeof(double), - ptr->error_message); - - /* time sampling for source selection function */ - class_call(transfer_selection_sampling(ppr, + /* redefine the time sampling */ + class_call(transfer_lensing_sampling(ppr, pba, ppt, ptr, bin, - tau0_minus_tau_lensing_sources, - tau_sources_size), - ptr->error_message, - ptr->error_message); - - /* Compute trapezoidal weights for integration over tau */ - class_call(array_trapezoidal_mweights(tau0_minus_tau_lensing_sources, - tau_sources_size, - w_trapz_lensing_sources, - ptr->error_message), - ptr->error_message, - ptr->error_message); - - /* compute values of selection function at sampled values of tau */ - class_call(transfer_selection_compute(ppr, - pba, - ppt, - ptr, - selection, - tau0_minus_tau_lensing_sources, - w_trapz_lensing_sources, - tau_sources_size, - pvecback, - tau0, - bin), - ptr->error_message, - ptr->error_message); - - /* redefine the time sampling */ - class_call(transfer_lensing_sampling(ppr, - pba, - ppt, - ptr, - bin, - tau0, - tau0_minus_tau, - tau_size), - ptr->error_message, - ptr->error_message); + tau0, + tau0_minus_tau, + tau_size), + ptr->error_message, + ptr->error_message); /* resample the source at those times */ class_call(transfer_source_resample(ppr, @@ -2649,179 +2541,14 @@ int transfer_sources( regulated anyway by Bessel). */ - if (index_tau == tau_size-1) { - rescaling=0.; - } - else { - - rescaling = 0.; - - - for (index_tau_sources=0; - index_tau_sources < tau_sources_size; - index_tau_sources++) { - - switch (pba->sgnK){ - case 1: - sinKgen_source = ptr->k[index_md][index_q]*sin(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(pba->K))/sqrt(pba->K); - sinKgen_source_to_lens = ptr->k[index_md][index_q]*sin((tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources])*sqrt(pba->K))/sqrt(pba->K); - cotKgen_source = cos(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(pba->K))/sinKgen_source; - cscKgen_lens = sqrt(pba->K)/ptr->k[index_md][index_q]/sin(sqrt(pba->K)*tau0_minus_tau[index_tau]); - break; - case 0: - sinKgen_source = ptr->k[index_md][index_q]*tau0_minus_tau_lensing_sources[index_tau_sources]; - sinKgen_source_to_lens = ptr->k[index_md][index_q]*(tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]); - cotKgen_source = 1./(ptr->k[index_md][index_q]*tau0_minus_tau_lensing_sources[index_tau_sources]); - cscKgen_lens = 1./(ptr->k[index_md][index_q]*tau0_minus_tau[index_tau]); - break; - case -1: - sinKgen_source = ptr->k[index_md][index_q]*sinh(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(-pba->K))/sqrt(-pba->K); - sinKgen_source_to_lens = ptr->k[index_md][index_q]*sinh((tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources])*sqrt(-pba->K))/sqrt(-pba->K); - cotKgen_source = cosh(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(-pba->K))/sinKgen_source; - cscKgen_lens = sqrt(-pba->K)/ptr->k[index_md][index_q]/sinh(sqrt(-pba->K)*tau0_minus_tau[index_tau]); - break; - } - - - /* condition for excluding from the sum the sources located in z=zero */ - if ((tau0_minus_tau_lensing_sources[index_tau_sources] > 0.) && (tau0_minus_tau_lensing_sources[index_tau_sources]-tau0_minus_tau[index_tau] > 0.)) { - - if (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) { - - rescaling += - // *(tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]) - // /tau0_minus_tau[index_tau] - // /tau0_minus_tau_lensing_sources[index_tau_sources] - ptr->k[index_md][index_q] - *sinKgen_source_to_lens - *cscKgen_lens - /sinKgen_source - * selection[index_tau_sources] - * w_trapz_lensing_sources[index_tau_sources]; - } - - if (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) { - - rescaling -= - (2.-5.*ptr->selection_magnification_bias[bin])/2. - // *(tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]) - // /tau0_minus_tau[index_tau] - // /tau0_minus_tau_lensing_sources[index_tau_sources] - *ptr->k[index_md][index_q] - *sinKgen_source_to_lens - *cscKgen_lens - /sinKgen_source - * selection[index_tau_sources] - * w_trapz_lensing_sources[index_tau_sources]; - } - - if (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) { - - rescaling += - (2.-5.*ptr->selection_magnification_bias[bin]) - // /tau0_minus_tau_lensing_sources[index_tau_sources] - * cotKgen_source*ptr->k[index_md][index_q] - * selection[index_tau_sources] - * w_trapz_lensing_sources[index_tau_sources]; - - } - - if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) { - - /* background quantities at time tau_lensing_source */ - - class_call(background_at_tau(pba, - tau0-tau0_minus_tau_lensing_sources[index_tau_sources], - pba->long_info, - pba->inter_normal, - &last_index, - pvecback), - pba->error_message, - ptr->error_message); - - /* Source evolution at time tau_lensing_source */ - - if ((ptr->has_nz_evo_file == _TRUE_) || (ptr->has_nz_evo_analytic == _TRUE_)) { - - f_evo = 2./pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]*cotKgen_source*ptr->k[index_md][index_q] - + pvecback[pba->index_bg_H_prime]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]; - - z = pba->a_today/pvecback[pba->index_bg_a]-1.; - - if (ptr->has_nz_evo_file == _TRUE_) { - - class_test((znz_evo_z[0]) || (z>ptr->nz_evo_z[ptr->nz_evo_size-1]), - ptr->error_message, - "Your input file for the selection function only covers the redshift range [%f : %f]. However, your input for the selection function requires z=%f", - ptr->nz_evo_z[0], - ptr->nz_evo_z[ptr->nz_evo_size-1], - z); - - class_call(array_interpolate_spline( - ptr->nz_evo_z, - ptr->nz_evo_size, - ptr->nz_evo_dlog_nz, - ptr->nz_evo_dd_dlog_nz, - 1, - z, - &last_index, - &dln_dNdz_dz, - 1, - ptr->error_message), - ptr->error_message, - ptr->error_message); - - } - else { - - class_call(transfer_dNdz_analytic(ptr, - z, - &dNdz, - &dln_dNdz_dz), - ptr->error_message, - ptr->error_message); - } - - f_evo -= dln_dNdz_dz/pvecback[pba->index_bg_a]; - } - else { - f_evo = 0.; - } - - rescaling += - (1. - + pvecback[pba->index_bg_H_prime] - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - /pvecback[pba->index_bg_H] - + (2.-5.*ptr->selection_magnification_bias[bin]) - // /tau0_minus_tau_lensing_sources[index_tau_sources] - * cotKgen_source*ptr->k[index_md][index_q] - /pvecback[pba->index_bg_a] - /pvecback[pba->index_bg_H] - + 5.*ptr->selection_magnification_bias[bin] - - f_evo) - * ptr->k[index_md][index_q] - * selection[index_tau_sources] - * w_trapz_lensing_sources[index_tau_sources]; - } - - } - } - } - /* copy from input array to output array */ - sources[index_tau] *= rescaling; + sources[index_tau] *= window[index_tt*tau_size_max+index_tau]; + if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) + sources[index_tau] *= k; // Factor from chi derivative of d/dchi j_ell(k*chi)= d/d(kchi) j_ell(k chi) * k = k * j_ell'(kchi) } - - /* deallocate temporary arrays */ - free(pvecback); - free(selection); - free(tau0_minus_tau_lensing_sources); - free(w_trapz_lensing_sources); - } + /* End integrated contributions */ } } @@ -2852,7 +2579,7 @@ int transfer_sources( } /** - return tau_size value that will be stored in the workspace (the - workspace wants a double) */ + workspace wants a double) */ *tau_size_out = tau_size; @@ -2865,7 +2592,7 @@ int transfer_sources( * * @param ppr Input: pointer to precision structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param bin Input: redshift bin number * @param z Input: one value of redshift * @param selection Output: pointer to selection function @@ -2874,8 +2601,8 @@ int transfer_sources( int transfer_selection_function( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double z, double * selection) { @@ -3018,7 +2745,7 @@ int transfer_selection_function( */ int transfer_dNdz_analytic( - struct transfers * ptr, + struct transfer * ptr, double z, double * dNdz, double * dln_dNdz_dz) { @@ -3034,7 +2761,7 @@ int transfer_dNdz_analytic( double z0,alpha,beta; -//Euclid IST dNdz, do not change this! + //Euclid IST dNdz, do not change this! z0 = 0.9/pow(2.,1./2.); alpha = 2.0; beta = 1.5; @@ -3054,7 +2781,7 @@ int transfer_dNdz_analytic( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param bin Input: redshift bin number * @param tau0_minus_tau Output: values of (tau0-tau) at which source are sample * @param tau_size Output: pointer to size of previous array @@ -3064,8 +2791,8 @@ int transfer_dNdz_analytic( int transfer_selection_sampling( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau0_minus_tau, int tau_size) { @@ -3121,7 +2848,7 @@ int transfer_selection_sampling( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param bin Input: redshift bin number * @param tau0 Input: time today * @param tau0_minus_tau Output: values of (tau0-tau) at which source are sample @@ -3132,8 +2859,8 @@ int transfer_selection_sampling( int transfer_lensing_sampling( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double tau0, double * tau0_minus_tau, @@ -3175,7 +2902,7 @@ int transfer_lensing_sampling( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param bin Input: redshift bin number * @param tau0_minus_tau Output: values of (tau0-tau) at which source are sample * @param tau_size Output: pointer to size of previous array @@ -3189,8 +2916,8 @@ int transfer_lensing_sampling( int transfer_source_resample( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau0_minus_tau, int tau_size, @@ -3245,7 +2972,7 @@ int transfer_source_resample( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param bin Input: redshift bin number * @param tau_min Output: smallest time in the selection interval * @param tau_mean Output: time corresponding to z_mean @@ -3256,8 +2983,8 @@ int transfer_source_resample( int transfer_selection_times( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int bin, double * tau_min, double * tau_mean, @@ -3322,7 +3049,7 @@ int transfer_selection_times( * @param ppr Input: pointer to precision structure * @param pba Input: pointer to background structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param selection Output: normalized selection function * @param tau0_minus_tau Input: values of (tau0-tau) at which source are sample * @param w_trapz Input: trapezoidal weights for integration over tau @@ -3336,8 +3063,8 @@ int transfer_selection_times( int transfer_selection_compute( struct precision * ppr, struct background * pba, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double * selection, double * tau0_minus_tau, double * w_trapz, @@ -3372,15 +3099,15 @@ int transfer_selection_compute( /* get background quantities at this time */ class_call(background_at_tau(pba, tau, - pba->long_info, - pba->inter_normal, + long_info, + inter_normal, &last_index, pvecback), pba->error_message, ptr->error_message); - /* infer redshift */ - z = pba->a_today/pvecback[pba->index_bg_a]-1.; + /* infer redshift (remember that a in the code is in fact a/a_0) */ + z = 1./pvecback[pba->index_bg_a]-1.; /* get corresponding dN/dz(z,bin) */ class_call(transfer_selection_function(ppr, @@ -3441,7 +3168,7 @@ int transfer_selection_compute( * @param ptw Input: pointer to transfer_workspace structure (allocated in transfer_init() to avoid numerous reallocation) * @param ppr Input: pointer to precision structure * @param ppt Input: pointer to perturbation structure - * @param ptr Input/output: pointer to transfers structure (result stored there) + * @param ptr Input/output: pointer to transfer structure (result stored there) * @param index_q Input: index of wavenumber * @param index_md Input: index of mode * @param index_ic Input: index of initial condition @@ -3450,14 +3177,15 @@ int transfer_selection_compute( * @param l Input: multipole * @param q_max_bessel Input: maximum value of argument q at which Bessel functions are computed * @param radial_type Input: type of radial (Bessel) functions to convolve with + * @param use_full_limber Inpt: whether we will try using the full Limber scheme * @return the error status */ int transfer_compute_for_each_l( struct transfer_workspace * ptw, struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_q, int index_md, int index_ic, @@ -3465,7 +3193,8 @@ int transfer_compute_for_each_l( int index_l, double l, double q_max_bessel, - radial_function_type radial_type + radial_function_type radial_type, + short use_full_limber ){ /** Summary: */ @@ -3483,77 +3212,91 @@ int transfer_compute_for_each_l( /** - return zero transfer function if l is above l_max */ if (index_l >= ptr->l_size_tt[index_md][index_tt]) { - - ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q] = 0.; - return _SUCCESS_; + transfer_function = 0.; } + else { + + if (ptr->transfer_verbose > 3) + printf("Compute transfer for l=%d type=%d\n",(int)l,index_tt); + + if (use_full_limber == _FALSE_) { + + q = ptr->q[index_q]; + k = ptr->k[index_md][index_q]; - q = ptr->q[index_q]; - k = ptr->k[index_md][index_q]; + class_call(transfer_use_limber(ppr, + ppt, + ptr, + q_max_bessel, + index_md, + index_tt, + q, + l, + &use_limber), + ptr->error_message, + ptr->error_message); + } + else { + q = ptr->q_limber[index_q]; + k = ptr->k_limber[index_md][index_q]; + use_limber = _TRUE_; + } - if (ptr->transfer_verbose > 3) - printf("Compute transfer for l=%d type=%d\n",(int)l,index_tt); + if (use_limber == _TRUE_) { - class_call(transfer_use_limber(ppr, - ppt, - ptr, - q_max_bessel, + class_call(transfer_limber(ptr, + ptw, index_md, - index_tt, - q, + index_q, l, - &use_limber), - ptr->error_message, - ptr->error_message); - - if (use_limber == _TRUE_) { + q, + radial_type, + &transfer_function), + ptr->error_message, + ptr->error_message); - class_call(transfer_limber(ptr, - ptw, - index_md, - index_q, - l, - q, - radial_type, - &transfer_function), - ptr->error_message, - ptr->error_message); + } + else { + class_call(transfer_integrate( + ppt, + ptr, + ptw, + index_q, + index_md, + index_tt, + l, + index_l, + k, + radial_type, + &transfer_function + ), + ptr->error_message, + ptr->error_message); + } + } + /** - store transfer function in transfer structure */ + if (use_full_limber == _FALSE_) { + ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size + index_q] + = transfer_function; } else { - class_call(transfer_integrate( - ppt, - ptr, - ptw, - index_q, - index_md, - index_tt, - l, - index_l, - k, - radial_type, - &transfer_function - ), - ptr->error_message, - ptr->error_message); + ptr->transfer_limber[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) + * ptr->l_size[index_md] + index_l) + * ptr->q_size_limber + index_q] + = transfer_function; } - /** - store transfer function in transfer structure */ - ptr->transfer[index_md][((index_ic * ptr->tt_size[index_md] + index_tt) - * ptr->l_size[index_md] + index_l) - * ptr->q_size + index_q] - = transfer_function; - return _SUCCESS_; } int transfer_use_limber( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double q_max_bessel, int index_md, int index_tt, @@ -3626,7 +3369,7 @@ int transfer_use_limber( * bessels structure). * * @param ppt Input: pointer to perturbation structure - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param ptw Input: pointer to transfer_workspace structure (allocated in transfer_init() to avoid numerous reallocation) * @param index_q Input: index of wavenumber * @param index_md Input: index of mode @@ -3640,8 +3383,8 @@ int transfer_use_limber( */ int transfer_integrate( - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, struct transfer_workspace *ptw, int index_q, int index_md, @@ -3809,7 +3552,7 @@ int transfer_integrate( * tau (the Bessel function being approximated as a Dirac distribution). * * - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param ptw Input: pointer to transfer workspace structure * @param index_md Input: index of mode * @param index_q Input: index of wavenumber @@ -3821,7 +3564,7 @@ int transfer_integrate( */ int transfer_limber( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_md, int index_q, @@ -3978,7 +3721,7 @@ int transfer_limber( } int transfer_limber_interpolate( - struct transfers * ptr, + struct transfer * ptr, double * tau0_minus_tau, double * sources, int tau_size, @@ -4052,7 +3795,7 @@ int transfer_limber_interpolate( * at a single value of tau * * @param tau_size Input: size of conformal time array - * @param ptr Input: pointer to transfers structure + * @param ptr Input: pointer to transfer structure * @param index_md Input: index of mode * @param index_k Input: index of wavenumber * @param l Input: multipole @@ -4066,7 +3809,7 @@ int transfer_limber_interpolate( int transfer_limber2( int tau_size, - struct transfers * ptr, + struct transfer * ptr, int index_md, int index_k, double l, @@ -4131,8 +3874,8 @@ int transfer_limber2( int transfer_can_be_neglected( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_md, int index_ic, int index_tt, @@ -4183,8 +3926,8 @@ int transfer_can_be_neglected( int transfer_late_source_can_be_neglected( struct precision * ppr, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, int index_md, int index_tt, double l, @@ -4235,8 +3978,8 @@ int transfer_late_source_can_be_neglected( int transfer_radial_function( struct transfer_workspace * ptw, - struct perturbs * ppt, - struct transfers * ptr, + struct perturbations * ppt, + struct transfer * ptr, double k, int index_q, int index_l, @@ -4259,12 +4002,12 @@ int transfer_radial_function( double l = (double)ptr->l[index_l]; double rescale_argument; double rescale_amplitude; - double * rescale_function; - int (*interpolate_Phi)(); - int (*interpolate_dPhi)(); - int (*interpolate_Phid2Phi)(); - int (*interpolate_PhidPhi)(); - int (*interpolate_PhidPhid2Phi)(); + double* rescale_function; + int (*interpolate_Phi)(HyperInterpStruct*, int, int, double*, double*, char*); + int (*interpolate_dPhi)(HyperInterpStruct*, int, int, double*, double*, char*); + int (*interpolate_Phid2Phi)(HyperInterpStruct*, int, int, double*, double*, double*, char*); + int (*interpolate_PhidPhi)(HyperInterpStruct*, int, int, double*, double*, double*, char*); + int (*interpolate_PhidPhid2Phi)(HyperInterpStruct*, int, int, double*, double*, double*, double*, char*); enum Hermite_Interpolation_Order HIorder; K = ptw->K; @@ -4496,7 +4239,7 @@ int transfer_radial_function( factor = 1.0; for (j=0; jtau0_minus_tau_cut = tau0_minus_tau_cut; (*ptw)->neglect_late_source = _FALSE_; - class_alloc((*ptw)->interpolated_sources,perturb_tau_size*sizeof(double),ptr->error_message); + class_alloc((*ptw)->interpolated_sources,perturbations_tau_size*sizeof(double),ptr->error_message); class_alloc((*ptw)->sources,tau_size_max*sizeof(double),ptr->error_message); class_alloc((*ptw)->tau0_minus_tau,tau_size_max*sizeof(double),ptr->error_message); class_alloc((*ptw)->w_trapz,tau_size_max*sizeof(double),ptr->error_message); @@ -4753,7 +4496,7 @@ int transfer_workspace_init( } int transfer_workspace_free( - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace *ptw ) { @@ -4771,13 +4514,13 @@ int transfer_workspace_free( free(ptw->cscKgen); free(ptw->cotKgen); - free(ptw); + //free(ptw); return _SUCCESS_; } int transfer_update_HIS( struct precision * ppr, - struct transfers * ptr, + struct transfer * ptr, struct transfer_workspace * ptw, int index_q, double tau0 @@ -4914,7 +4657,6 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, int fevals=0, index_l_mid; int multiplier; int right_boundary_checked = _FALSE_; - int hil=0,hir=0,bini=0; class_call(get_xmin_generic(sgnK, lvec[0], nu, @@ -4948,7 +4690,6 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, } /* Hunt for left boundary: */ for (multiplier=1; ;multiplier *= 5){ - hil++; class_call(get_xmin_generic(sgnK, lvec[*index_l_left], nu, @@ -4958,7 +4699,6 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, &fevals), error_message, error_message); - //printf("Hunt left, iter = %d, x_nonzero=%g\n",hil,x_nonzero); if (x_nonzero <= xmax){ //Boundary found break; @@ -4978,8 +4718,6 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, /* If not found, hunt for right boundary: */ if (right_boundary_checked == _FALSE_){ for (multiplier=1; ;multiplier *= 5){ - hir++; - //printf("right iteration %d,index_l_right:%d\n",hir,*index_l_right); class_call(get_xmin_generic(sgnK, lvec[*index_l_right], nu, @@ -5011,7 +4749,6 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, // printf("Do binary search in get_lmax. \n"); //printf("Region: [%d, %d]\n",*index_l_left,*index_l_right); while (((*index_l_right) - (*index_l_left)) > 1) { - bini++; index_l_mid= (int)(0.5*((*index_l_right)+(*index_l_left))); //printf("left:%d, mid=%d, right=%d\n",*index_l_left,index_l_mid,*index_l_right); class_call(get_xmin_generic(sgnK, @@ -5029,8 +4766,556 @@ int transfer_get_lmax(int (*get_xmin_generic)(int sgnK, *index_l_right=index_l_mid; } //printf("Done\n"); - /* printf("Hunt left iter=%d, hunt right iter=%d (fevals: %d). For binary search: %d (fevals: %d)\n", - hil,hir,fevalshunt,bini,fevals); - */ + return _SUCCESS_; +} + +/** + * Here we can precompute the window functions for the final integration + * For each type of nCl/dCl/sCl we combine the selection function + * with the corresponding prefactor (e.g. 1/aH), and, if required, + * we also integrate for integrated (lensed) contributions + * (In the original ClassGAL paper these would be labeled g4,g5, and lens) + * + * All factors of k have to be added later (at least in the current version) + * + * @param ppr Input: pointer to precision structure + * @param pba Input: pointer to background structure + * @param ppt Input: pointer to perturbation structure + * @param ptr Input: pointer to transfer structure + * @param tau_rec Input: recombination time + * @param tau_size_max Input: maximum size that tau array can have + * @param window Output: pointer to array of selection functions + * @return the error status + */ + +int transfer_precompute_selection( + struct precision * ppr, + struct background * pba, + struct perturbations * ppt, + struct transfer * ptr, + double tau_rec, + int tau_size_max, + double ** window /* Pass a pointer to the pointer, so the pointer can be allocated inside of the function */ + ){ + /** Summary: */ + + /** - define local variables */ + + double* tau0_minus_tau; + double* w_trapz; + + /* index running on time */ + int index_tau; + + /* bin for computation of cl_density */ + int bin=0; + + /* number of tau values */ + int tau_size; + + /* for calling background_at_eta */ + int last_index; + double * pvecback = NULL; + + /* conformal time */ + double tau, tau0; + + /* geometrical quantities */ + double sinKgen_source=0.; + double sinKgen_source_to_lens=0.; + double cotKgen_source=0.; + double cscKgen_lens=0.; + + /* rescaling factor depending on the background at a given time */ + double rescaling=0.; + + /* array of selection function values at different times */ + double * selection; + + /* array of time sampling for lensing source selection function */ + double * tau0_minus_tau_lensing_sources; + + /* trapezoidal weights for lensing source selection function */ + double * w_trapz_lensing_sources; + + /* index running on time in previous two arrays */ + int index_tau_sources; + + /* number of time values in previous two arrays */ + int tau_sources_size; + + /* source evolution factor */ + double f_evo = 0.; + + + /* Setup initial variables and arrays*/ + int index_md = ppt->index_md_scalars; + int index_tt; + + /* allocate temporary arrays for storing selections, weights, times, and output; and for calling background */ + class_alloc(tau0_minus_tau,tau_size_max*sizeof(double),ptr->error_message); + class_alloc(selection,tau_size_max*sizeof(double),ptr->error_message); + class_alloc(w_trapz,tau_size_max*sizeof(double),ptr->error_message); + class_alloc((*window),tau_size_max*ptr->tt_size[index_md]*sizeof(double),ptr->error_message); + class_alloc(pvecback,pba->bg_size*sizeof(double),ptr->error_message); + + /* conformal time today */ + tau0 = pba->conformal_age; + + /* Loop through different types to be precomputed */ + for (index_tt = 0; index_tt < ptr->tt_size[index_md]; index_tt++) { + + /* First set the corresponding tau size */ + class_call(transfer_source_tau_size(ppr, + pba, + ppt, + ptr, + tau_rec, + tau0, + index_md, + index_tt, + &tau_size), + ptr->error_message, + ptr->error_message); + + /* Start with non-integrated contributions */ + if (_nonintegrated_ncl_) { + + _get_bin_nonintegrated_ncl_(index_tt) + + /* redefine the time sampling */ + class_call(transfer_selection_sampling(ppr, + pba, + ppt, + ptr, + bin, + tau0_minus_tau, + tau_size), + ptr->error_message, + ptr->error_message); + + class_test(tau0 - tau0_minus_tau[0] > ppt->tau_sampling[ppt->tau_size-1], + ptr->error_message, + "this should not happen, there was probably a rounding error, if this error occurred, then this must be coded more carefully"); + + /* Compute trapezoidal weights for integration over tau */ + class_call(array_trapezoidal_mweights(tau0_minus_tau, + tau_size, + w_trapz, + ptr->error_message), + ptr->error_message, + ptr->error_message); + + /* compute values of selection function at sampled values of tau */ + class_call(transfer_selection_compute(ppr, + pba, + ppt, + ptr, + selection, + tau0_minus_tau, + w_trapz, + tau_size, + pvecback, + tau0, + bin), + ptr->error_message, + ptr->error_message); + + /* loop over time and rescale */ + for (index_tau = 0; index_tau < tau_size; index_tau++) { + + /* conformal time */ + tau = tau0 - tau0_minus_tau[index_tau]; + + /* geometrical quantity */ + switch (pba->sgnK){ + case 1: + cotKgen_source = sqrt(pba->K) + *cos(tau0_minus_tau[index_tau]*sqrt(pba->K)) + /sin(tau0_minus_tau[index_tau]*sqrt(pba->K)); + break; + case 0: + cotKgen_source = 1./(tau0_minus_tau[index_tau]); + break; + case -1: + cotKgen_source = sqrt(-pba->K) + *cosh(tau0_minus_tau[index_tau]*sqrt(-pba->K)) + /sinh(tau0_minus_tau[index_tau]*sqrt(-pba->K)); + break; + } + + /* corresponding background quantities */ + class_call(background_at_tau(pba, + tau, + long_info, + inter_normal, + &last_index, + pvecback), + pba->error_message, + ptr->error_message); + + /* Source evolution, used by nCl doppler and nCl gravity terms */ + + if ((_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) || + (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) || + (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr))) + { + class_call(transfer_f_evo(pba,ptr,pvecback,last_index,cotKgen_source,&f_evo), + ptr->error_message, + ptr->error_message); + /* Error in old CLASS 2.6.3 : Number count evolution did not respect curvature */ + } + + /* matter density source = [- (dz/dtau) W(z)] * delta_m(k,tau) + = W(tau) delta_m(k,tau) + with + delta_m = total matter perturbation (defined in gauge-independent way, see arXiv 1307.1459) + W(z) = redshift space selection function = dN/dz + W(tau) = same wrt conformal time = dN/dtau + (in tau = tau_0, set source = 0 to avoid division by zero; + regulated anyway by Bessel). + */ + + if (_index_tt_in_range_(ptr->index_tt_density, ppt->selection_num, ppt->has_nc_density)) + rescaling = ptr->selection_bias[bin]*selection[index_tau]; + + /* redshift space distortion source = - [- (dz/dtau) W(z)] * (k/H) * theta(k,tau) */ + + if (_index_tt_in_range_(ptr->index_tt_rsd, ppt->selection_num, ppt->has_nc_rsd)) + rescaling = selection[index_tau]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]; + + if (_index_tt_in_range_(ptr->index_tt_d0, ppt->selection_num, ppt->has_nc_rsd)) + rescaling = (f_evo-3.)*selection[index_tau]*pvecback[pba->index_bg_H]*pvecback[pba->index_bg_a]; + + if (_index_tt_in_range_(ptr->index_tt_d1, ppt->selection_num, ppt->has_nc_rsd)) + + rescaling = selection[index_tau]*(1. + +pvecback[pba->index_bg_H_prime] + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + /pvecback[pba->index_bg_H] + +(2.-5.*ptr->selection_magnification_bias[bin]) + // /tau0_minus_tau[index_tau] // in flat space + *cotKgen_source // in general case + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + +5.*ptr->selection_magnification_bias[bin] + -f_evo + ); + + if (_index_tt_in_range_(ptr->index_tt_nc_g1, ppt->selection_num, ppt->has_nc_gr)) + + rescaling = selection[index_tau]; + + if (_index_tt_in_range_(ptr->index_tt_nc_g2, ppt->selection_num, ppt->has_nc_gr)) + + rescaling = -selection[index_tau]*(3. + +pvecback[pba->index_bg_H_prime] + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + /pvecback[pba->index_bg_H] + +(2.-5.*ptr->selection_magnification_bias[bin]) + // /tau0_minus_tau[index_tau] // in flat space + *cotKgen_source // in general case + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + -f_evo + ); + + if (_index_tt_in_range_(ptr->index_tt_nc_g3, ppt->selection_num, ppt->has_nc_gr)) + rescaling = selection[index_tau]/pvecback[pba->index_bg_a]/pvecback[pba->index_bg_H]; + + /* finally store in array */ + (*window)[index_tt*tau_size_max+index_tau] = rescaling; + } + } + /* End non-integrated contribution */ + + /* Now deal with integrated contributions */ + if (_integrated_ncl_) { + + _get_bin_integrated_ncl_(index_tt) + + /* dirac case */ + if (ppt->selection == dirac) { + tau_sources_size=1; + } + /* other cases (gaussian, tophat...) */ + else { + tau_sources_size=ppr->selection_sampling; + } + + class_alloc(tau0_minus_tau_lensing_sources, + tau_sources_size*sizeof(double), + ptr->error_message); + + class_alloc(w_trapz_lensing_sources, + tau_sources_size*sizeof(double), + ptr->error_message); + + /* time sampling for source selection function */ + class_call(transfer_selection_sampling(ppr, + pba, + ppt, + ptr, + bin, + tau0_minus_tau_lensing_sources, + tau_sources_size), + ptr->error_message, + ptr->error_message); + + /* Compute trapezoidal weights for integration over tau */ + class_call(array_trapezoidal_mweights(tau0_minus_tau_lensing_sources, + tau_sources_size, + w_trapz_lensing_sources, + ptr->error_message), + ptr->error_message, + ptr->error_message); + + /* compute values of selection function at sampled values of tau */ + class_call(transfer_selection_compute(ppr, + pba, + ppt, + ptr, + selection, + tau0_minus_tau_lensing_sources, + w_trapz_lensing_sources, + tau_sources_size, + pvecback, + tau0, + bin), + ptr->error_message, + ptr->error_message); + + /* redefine the time sampling */ + class_call(transfer_lensing_sampling(ppr, + pba, + ppt, + ptr, + bin, + tau0, + tau0_minus_tau, + tau_size), + ptr->error_message, + ptr->error_message); + + /* Compute trapezoidal weights for integration over tau */ + class_call(array_trapezoidal_mweights(tau0_minus_tau, + tau_size, + w_trapz, + ptr->error_message), + ptr->error_message, + ptr->error_message); + + /* loop over time and rescale */ + for (index_tau = 0; index_tau < tau_size; index_tau++) { + + /* lensing source = - W(tau) (phi(k,tau) + psi(k,tau)) Heaviside(tau-tau_rec) + with + psi,phi = metric perturbation in newtonian gauge (phi+psi = Phi_A-Phi_H of Bardeen) + W = (tau-tau_rec)/(tau_0-tau)/(tau_0-tau_rec) + H(x) = Heaviside + (in tau = tau_0, set source = 0 to avoid division by zero; + regulated anyway by Bessel). + */ + + if (index_tau == tau_size-1) { + rescaling=0.; + } + else { + + rescaling = 0.; + + for (index_tau_sources=0; + index_tau_sources < tau_sources_size; + index_tau_sources++) { + + switch (pba->sgnK){ + case 1: + sinKgen_source = sin(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(pba->K))/sqrt(pba->K); + sinKgen_source_to_lens = sin((tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources])*sqrt(pba->K))/sqrt(pba->K); + cotKgen_source = cos(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(pba->K))/sinKgen_source; + cscKgen_lens = sqrt(pba->K)/sin(sqrt(pba->K)*tau0_minus_tau[index_tau]); + break; + case 0: + sinKgen_source = tau0_minus_tau_lensing_sources[index_tau_sources]; + sinKgen_source_to_lens = (tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]); + cotKgen_source = 1./(tau0_minus_tau_lensing_sources[index_tau_sources]); + cscKgen_lens = 1./(tau0_minus_tau[index_tau]); + break; + case -1: + sinKgen_source = sinh(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(-pba->K))/sqrt(-pba->K); + sinKgen_source_to_lens = sinh((tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources])*sqrt(-pba->K))/sqrt(-pba->K); + cotKgen_source = cosh(tau0_minus_tau_lensing_sources[index_tau_sources]*sqrt(-pba->K))/sinKgen_source; + cscKgen_lens = sqrt(-pba->K)/sinh(sqrt(-pba->K)*tau0_minus_tau[index_tau]); + break; + } + + /* condition for excluding from the sum the sources located in z=zero */ + if ((tau0_minus_tau_lensing_sources[index_tau_sources] > 0.) && (tau0_minus_tau_lensing_sources[index_tau_sources]-tau0_minus_tau[index_tau] > 0.)) { + + if (_index_tt_in_range_(ptr->index_tt_lensing, ppt->selection_num, ppt->has_cl_lensing_potential)) { + + rescaling += + // *(tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]) + // /tau0_minus_tau[index_tau] + // /tau0_minus_tau_lensing_sources[index_tau_sources] + sinKgen_source_to_lens + *cscKgen_lens + /sinKgen_source + * selection[index_tau_sources] + * w_trapz_lensing_sources[index_tau_sources]; + } + + if (_index_tt_in_range_(ptr->index_tt_nc_lens, ppt->selection_num, ppt->has_nc_lens)) { + + rescaling -= + (2.-5.*ptr->selection_magnification_bias[bin])/2. + // *(tau0_minus_tau[index_tau]-tau0_minus_tau_lensing_sources[index_tau_sources]) + // /tau0_minus_tau[index_tau] + // /tau0_minus_tau_lensing_sources[index_tau_sources] + *sinKgen_source_to_lens + *cscKgen_lens + /sinKgen_source + * selection[index_tau_sources] + * w_trapz_lensing_sources[index_tau_sources]; + } + + if (_index_tt_in_range_(ptr->index_tt_nc_g4, ppt->selection_num, ppt->has_nc_gr)) { + + rescaling += + (2.-5.*ptr->selection_magnification_bias[bin]) + // /tau0_minus_tau_lensing_sources[index_tau_sources] + * cotKgen_source + * selection[index_tau_sources] + * w_trapz_lensing_sources[index_tau_sources]; + + } + + if (_index_tt_in_range_(ptr->index_tt_nc_g5, ppt->selection_num, ppt->has_nc_gr)) { + + /* background quantities at time tau_lensing_source */ + + class_call(background_at_tau(pba, + tau0-tau0_minus_tau_lensing_sources[index_tau_sources], + long_info, + inter_normal, + &last_index, + pvecback), + pba->error_message, + ptr->error_message); + + /* Source evolution at time tau_lensing_source */ + + class_call(transfer_f_evo(pba,ptr,pvecback,last_index,cotKgen_source,&f_evo), + ptr->error_message, + ptr->error_message); + + + rescaling += + (1. + + pvecback[pba->index_bg_H_prime] + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + /pvecback[pba->index_bg_H] + + (2.-5.*ptr->selection_magnification_bias[bin]) + // /tau0_minus_tau_lensing_sources[index_tau_sources] + * cotKgen_source + /pvecback[pba->index_bg_a] + /pvecback[pba->index_bg_H] + + 5.*ptr->selection_magnification_bias[bin] + - f_evo) + * selection[index_tau_sources] + * w_trapz_lensing_sources[index_tau_sources]; + } + } + } + } + + /* Finally store integrated result for later use */ + (*window)[index_tt*tau_size_max+index_tau] = rescaling; + } + + /* deallocate temporary arrays */ + free(tau0_minus_tau_lensing_sources); + free(w_trapz_lensing_sources); + } + /* End integrated contribution */ + } + + /* deallocate temporary arrays */ + free(selection); + free(tau0_minus_tau); + free(w_trapz); + free(pvecback); + return _SUCCESS_; +} + +int transfer_f_evo( + struct background* pba, + struct transfer * ptr, + double* pvecback, + int last_index, + double cotKgen, /* Should be FILLED with values of corresponding time */ + double* f_evo + ){ + /* Allocate temporary variables for calculation of f_evo */ + double z; + double dNdz; + double dln_dNdz_dz; + double temp_f_evo; + + if ((ptr->has_nz_evo_file == _TRUE_) || (ptr->has_nz_evo_analytic == _TRUE_)){ + + temp_f_evo = 2./pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]*cotKgen + + pvecback[pba->index_bg_H_prime]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_H]/pvecback[pba->index_bg_a]; + + /* z = a_0/a-1 (remember that a in the code is in fact a/a_0) */ + z = 1./pvecback[pba->index_bg_a]-1.; + + if (ptr->has_nz_evo_file ==_TRUE_) { + + class_test((znz_evo_z[0]) || (z>ptr->nz_evo_z[ptr->nz_evo_size-1]), + ptr->error_message, + "Your input file for the selection function only covers the redshift range [%f : %f]. However, your input for the selection function requires z=%f", + ptr->nz_evo_z[0], + ptr->nz_evo_z[ptr->nz_evo_size-1], + z); + + + class_call(array_interpolate_spline( + ptr->nz_evo_z, + ptr->nz_evo_size, + ptr->nz_evo_dlog_nz, + ptr->nz_evo_dd_dlog_nz, + 1, + z, + &last_index, + &dln_dNdz_dz, + 1, + ptr->error_message), + ptr->error_message, + ptr->error_message); + + } + else { + + class_call(transfer_dNdz_analytic(ptr, + z, + &dNdz, + &dln_dNdz_dz), + ptr->error_message, + ptr->error_message); + } + + temp_f_evo -= dln_dNdz_dz/pvecback[pba->index_bg_a]; + } + else { + temp_f_evo = 0.; + } + + /* after obtaining f_evo, store it in output */ + *f_evo = temp_f_evo; + return _SUCCESS_; } diff --git a/test/chi2.c b/test/chi2.c deleted file mode 100755 index 85aeff03..00000000 --- a/test/chi2.c +++ /dev/null @@ -1,310 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 20.04.2010 - */ - -#include "stdio.h" -#include "stdlib.h" -#include "math.h" -#include "string.h" -#include "float.h" - -#define _PI_ 3.14159 - -int chi2_simple( - double ** cl1, - double ** cl2, - int lmax, - double * chi2); - -int chi2_planck( - double ** cl1, - double ** cl2, - double ** nl, - int lmax, - double * chi2); - -int noise_planck( - double ** nl, - int lmax - ); - -int main(int argc, char **argv) { - - int i,l_max,l; - - double parameter_initial,parameter_logstep; - double * parameter; - int param_num; - - double *** cl; - double ** noise; - double chi2,chi2_bis; - double percentage,max_percentage; - int max_l; - int ref_run; - - double * param; - - FILE * output; - char filename[200]; - char results_name[200]; - char junk_string[200]; - int l_read; - - /*******************************/ - - l_max = 3000; - - cl=malloc(2*sizeof(double**)); - for (i=0; i<2; i++) { - cl[i]=malloc((l_max+1)*sizeof(double*)); - for (l=2; l <= l_max; l++) { - cl[i][l]=malloc(3*sizeof(double)); - } - } - - noise=calloc((l_max+1),sizeof(double*)); - for (l=2; l <= l_max; l++) { - noise[l]=calloc(3,sizeof(double)); - } - - sprintf(filename,"output/chi2pl0.1_cl_lensed.dat"); - - /* read file and fill cl[param_num] */ - output = fopen(filename,"r"); - fprintf(stderr,"Read reference in file %s\n",filename); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - //fgets(junk_string,200,output); - //fgets(junk_string,200,output); - //fgets(junk_string,200,output); - float cl_read; - for (l=2; l <= l_max; l++) { - fscanf(output,"%d",&l_read); - //fprintf(stderr,"%d\n",l_read); - fscanf(output,"%e",&cl_read); - //fprintf(stderr," %e\n",cl_read); - cl[0][l][0]=(double)cl_read*2.*_PI_/l/(l+1); - // fprintf(stderr,"%d %e\n",l_read,cl[ref_run][l][sp.index_ct_tt]); - fscanf(output,"%e",&cl_read); - cl[0][l][1]=(double)cl_read*2.*_PI_/l/(l+1); - fscanf(output,"%e",&cl_read); - cl[0][l][2]=(double)cl_read*2.*_PI_/l/(l+1); - //fprintf(stderr," %e %d\n",cl_read,sp.index_ct_te); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - if (l_read != l) { - printf("l_read != l: %d %d\n",l_read,l); - } - } - - fclose(output); - - sprintf(filename,"output/cl_ref_cl_lensed.dat"); - - /* read file and fill cl[param_num] */ - output = fopen(filename,"r"); - fprintf(stderr,"Read degraded precision in file %s\n",filename); - fgets(junk_string,200,output); - //fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - // fprintf(stderr,"%s\n",junk_string); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - //float cl_read; - //fprintf(stderr,"get here\n"); - for (l=2; l <= l_max; l++) { - fscanf(output,"%d",&l_read); - // fprintf(stderr,"%d",l_read); - fscanf(output,"%e",&cl_read); - // fprintf(stderr," %e\n",cl_read); - cl[1][l][0]=(double)cl_read*2.*_PI_/l/(l+1); - // fprintf(stderr,"%d %e\n",l_read,cl[ref_run][l][sp.index_ct_tt]); - fscanf(output,"%e",&cl_read); - cl[1][l][1]=(double)cl_read*2.*_PI_/l/(l+1); - fscanf(output,"%e",&cl_read); - cl[1][l][2]=(double)cl_read*2.*_PI_/l/(l+1); - //fprintf(stderr," %e %d\n",cl_read,sp.index_ct_te); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - fscanf(output,"%e",&cl_read); - //fscanf(output,"%e",&cl_read); - if (l_read != l) { - printf("l_read != l: %d %d\n",l_read,l); - } - } - - fclose(output); - - fprintf(stderr,"get here\n"); - - - - noise_planck(noise,l_max); - - fprintf(stderr,"get here\n"); - - chi2_planck(cl[0],cl[1],noise,l_max,&chi2); - - fprintf(stderr,"get here\n"); - - fprintf(stderr,"chi2=%2g \n",chi2); - - return 0; - -} - -int chi2_simple( - double ** cl1, - double ** cl2, - int lmax, - double * chi2) { - - int l; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - *chi2 += - pow(((cl1[l][0]-cl2[l][0]) - /cl2[l][0]),2) + - pow(((cl1[l][2]-cl2[l][2]) - /cl2[l][2]),2) + - pow(((cl1[l][1]-cl2[l][1]) - /cl2[l][1]),2); - } - - return 0; - -} - -int chi2_planck( - double ** cl1, /* treated as 'theoretical spectrum' */ - double ** cl2, /* treated as 'observed spectrum' */ - double ** nl, - int lmax, - double * chi2) { - - int l; - double fsky=0.8; - double clTT_th,clEE_th,clTE_th; - double clTT_obs,clEE_obs,clTE_obs; - double det_mixed,det_th,det_obs; - double factor; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - -/* if (psp->ct_size == 1) { */ - if (0==1) { - - *chi2 += fsky*(2.*l+1.)*((cl2[l][0]+nl[l][0])/ - (cl1[l][0]+nl[l][0])+ - log((cl1[l][0]+nl[l][0])/(cl2[l][0]+nl[l][0]))-1.); - -/* *chi2 += fsky*(2.*l+1.)*((cl2[l][0])/ */ -/* (cl1[l][0])+ */ -/* log((cl1[l][0])/(cl2[l][0]))-1.); */ - - -/* factor=l*(l+1.)/2./_PI_; */ -/* printf("%d %e %e %e\n",l,factor*cl1[l][0],factor*cl2[l][0],factor*nl[l][0]); */ - - } - else { - - clTT_th = cl1[l][0]+nl[l][0]; - clEE_th = cl1[l][1]+nl[l][1]; - clTE_th = cl1[l][2]; - - clTT_obs = cl2[l][0]+nl[l][0]; - clEE_obs = cl2[l][1]+nl[l][1]; - clTE_obs = cl2[l][2]; - - //printf("%e %e %e %e %e %e\n",clTT_th,clTT_obs,clEE_th,clEE_obs,clTE_th,clTE_obs); - - det_mixed = 0.5*(clTT_th*clEE_obs+clTT_obs*clEE_th)-clTE_th*clTE_obs; - - det_th = clTT_th*clEE_th-clTE_th*clTE_th; - - det_obs = clTT_obs*clEE_obs-clTE_obs*clTE_obs; - - *chi2 += fsky*(2.*l+1.)*(2.*(det_mixed/det_th-1.)+log(det_th/det_obs)); - } - } - - return 0; - -} - -int noise_planck( - double ** nl, - int lmax - ) { - - int num_channel,channel,l; - double * theta, * deltaT, * deltaP; - double Tcmb = 2.726; - - num_channel=3; - - theta=malloc(num_channel*sizeof(double)); - deltaT=malloc(num_channel*sizeof(double)); - deltaP=malloc(num_channel*sizeof(double)); - - /* 100 GHz*/ - theta[0]=9.5/3437.75; /* converted from arcmin to radian */ - deltaT[0]=(6.8e-6/Tcmb); /* converted from K to dimensionless */ - deltaP[0]=(10.9e-6/Tcmb); /* converted from K to dimensionless */ - - /* 143 GHz*/ - theta[1]=7.1/3437.75; - deltaT[1]=(6.0e-6/Tcmb); - deltaP[1]=(11.4e-6/Tcmb); - - /* 217 GHz*/ - theta[2]=5.0/3437.75; - deltaT[2]=(13.1e-6/Tcmb); - deltaP[2]=(26.7e-6/Tcmb); - - for (l=2; l<=lmax; l++) { - - for (channel=0; channel%s\n",errmsg); - return _FAILURE_; - } - - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(&pr,&ba,&th,&pt,&bs,&tr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (spectra_init(&pr,&ba,&pt,&tr,&pm,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (nonlinear_init(&pr,&ba,&th,&pm,&sp,&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - /* read model with appropriate lensing potential */ - - sprintf(filename,"output/lensing_cl.dat"); - - output = fopen(filename,"r"); - fprintf(stderr,"Read reference in file %s\n",filename); - - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - fgets(junk_string,200,output); - - index_l=0; - - for (l=2; l <= sp.l_max_tot; l++) { - fscanf(output,"%d",&l_read); // l - if (l_read != l) { - printf("l_read != l: %d %d\n",l_read,l); - } - - fscanf(output,"%e",&cl_read); // TT - fscanf(output,"%e",&cl_read); // TE - fscanf(output,"%e",&cl_read); // EE - fscanf(output,"%e",&cl_read); // BB - fscanf(output,"%e",&cl_read); // phiphi - - if (l == (int)sp.l[index_l]) { - - factor = l*(l+1)/2./_PI_; - - sp.cl[sp.index_md_scalars][index_l*sp.ct_size+sp.index_ct_pp]=cl_read/factor; - index_l++; - - } - - fscanf(output,"%e",&cl_read); // Tphi - fscanf(output,"%e",&cl_read); // Ephi - } - - fclose(output); - - /* spline the spectra (redundent excepted for the new phiphi column) */ - - class_call(array_spline_table_lines(sp.l, - sp.l_size[sp.index_md_scalars], - sp.cl[sp.index_md_scalars], - sp.ic_ic_size[sp.index_md_scalars]*sp.ct_size, - sp.ddcl[sp.index_md_scalars], - _SPLINE_EST_DERIV_, - sp.error_message), - sp.error_message, - sp.error_message); - - /* carry on the calculation */ - - if (lensing_init(&pr,&pt,&sp,&nl,&le) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",le.error_message); - return _FAILURE_; - } - - if (output_init(&ba,&pt,&sp,&nl,&le,&op) == _FAILURE_) { - printf("\n\nError in output_init \n=>%s\n",op.error_message); - return _FAILURE_; - } - - /****** all calculations done, now free the structures ******/ - - if (lensing_free(&le) == _FAILURE_) { - printf("\n\nError in lensing_free \n=>%s\n",le.error_message); - return _FAILURE_; - } - - if (nonlinear_free(&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - if (spectra_free(&sp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (primordial_free(&pm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (transfer_free(&tr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} diff --git a/test/test_2D_quadrature.c b/test/test_2D_quadrature.c deleted file mode 100644 index da90a475..00000000 --- a/test/test_2D_quadrature.c +++ /dev/null @@ -1,33 +0,0 @@ -#include "common.h" -#include "quadrature.h" - -int main(){ - double I,fxy; - int i,n; - double *x,*y,*w; - ErrorMsg error_message; - - n=2; - - class_call(quadrature_in_rectangle(-2.0,2.0,1.0,4.0,&n,&x,&y,&w,error_message), - error_message, - error_message); - - - for(i=0,I=0.0; i%s\n",errmsg); + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { + printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); return _FAILURE_; } diff --git a/test/test_bessel.c b/test/test_bessel.c deleted file mode 100755 index 5080f093..00000000 --- a/test/test_bessel.c +++ /dev/null @@ -1,85 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 18.04.2010 - */ - -#include "class.h" - -main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - ErrorMsg errmsg; - - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); - return _FAILURE_; - } - - /* - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - */ - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - /****** here you could output the bessel functions ******/ - - int index_l=10; - int index_x; - for (index_x=0; index_x%s\n",bs.error_message); - return _FAILURE_; - } - - /* - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - */ - -} diff --git a/test/test_degeneracy.c b/test/test_degeneracy.c deleted file mode 100755 index 9637f98b..00000000 --- a/test/test_degeneracy.c +++ /dev/null @@ -1,710 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 20.04.2010 - */ -#include "class.h" -#include -#include -#define TINy 1.0e-1 -#define NMAX 100000 -#define GET_PSUM \ - for (j=0;j%s\n",errmsg); - return _FAILURE_; - } - - class_assuming_bessels_computed(&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&nl,&le,&op,cl,errmsg); - chi2_planck(&sp,cl,cl_ref,noise,&chi2); - - for (l=2; l <= l_max; l++) { - free(cl[l]); - } - free(cl); - /*fprintf(stderr,"here, YHe = %s, h = %s, omega_c = %s, n_s = %s, A_s = %s, chi2 = %e\n",fc.value[4],fc.value[5],fc.value[6],fc.value[8],fc.value[9],chi2);*/ - - /*fprintf(stderr,"YHe:%e, h:%e, omega_cdm:%e, chi2:%e\n",param[0],param[1],param[2],chi2);*/ - return chi2; -} - -void amoeba(double **p,double y[],int ndim,double ftol, double (*funk)(double [])){ - - double amotry(double **p,double y[], double psum[], int ndim, double (*funk)(double []),int ihi,double fac); - int i,ihi,ilo,inhi,j,mpts=ndim+1; - int k; - double rtol,sum,swap,ysave,ytry,*psum; - psum = calloc(ndim,sizeof(double)); - int nfunk=0; - GET_PSUM - for (;;) { - ilo=0; - /*First we must determine which point is the highest (worst), next-highest, and lowest (best), by looping over the points in the simplex.*/ - ihi = y[0]>y[1] ? (inhi=1,0) : (inhi=0,1); - for (i=0;i y[ihi]) { - inhi=ihi; - ihi=i; - } - else if (y[i] > y[inhi] && i != ihi) inhi=i; - } - rtol=fabs(y[ihi]-y[ilo]); //Compute the fractional range from highest to lowest and return if satisfactory. - /*fprintf(stderr,"--> y[ihi]:%e y[ilo]:%e rtol %e\n\n",y[ihi],y[ilo],rtol);*/ - if (rtol < ftol) { //If returning, put best point and value in slot 1. - SWAP(y[0],y[ilo]); - for (i=0;i= NMAX) fprintf(stderr,"NMAX exceeded\n"); - nfunk += 2; - //Begin a new iteration. First extrapolate by a factor −1 through the face of the simplex across from the high point, i.e., reflect the simplex from the high point. - - ytry=amotry(p,y,psum,ndim,funk,ihi,-1.0); - if (ytry <= y[ilo]){ - //Gives a result better than the best point, so try an additional extrapolation by a factor 2. - /*fprintf(stderr,"is better, going twice as far\n");*/ - ytry=amotry(p,y,psum,ndim,funk,ihi,2.0);} - else if (ytry >= y[inhi]) { - /*fprintf(stderr,"is worse, trying half\n");*/ - //The reflected point is worse than the second-highest, so look for an intermediate lower point, i.e., do a one-dimensional contraction. - ysave=y[ihi]; - ytry=amotry(p,y,psum,ndim,funk,ihi,0.5); - if (ytry >= ysave) { //Can’t seem to get rid of that high point. Better - for (k=0;k%s\n",errmsg); - return _FAILURE_; - } - noise_planck(&ba,&th,&sp,noise); - class_assuming_bessels_computed(&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&nl,&le,&op,cl_ref,errmsg); - double alpha; - double random_number; - - // Looping on all values of parameter - for (i=0; i%s\n",errmsg); - return _FAILURE_; - } - - class_assuming_bessels_computed(&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&nl,&le,&op,cl,errmsg); - chi2_planck(&sp,cl,cl_ref,noise,&chi2[k]); - - } - amoeba(p,chi2,ndim,ftol,get_chi2); - if (j==0){ - storage = (chi2[0]+chi2[1]+chi2[2]+chi2[3]+chi2[4]+chi2[5])/6.; - } - fprintf(stderr,"run %d, chi2:%f\n",j,(chi2[0]+chi2[1]+chi2[2]+chi2[3]+chi2[4]+chi2[5])/6.); - if ((chi2[0]+chi2[1]+chi2[2]+chi2[3]+chi2[4]+chi2[5])/6. < storage){ - storage = (chi2[0]+chi2[1]+chi2[2]+chi2[3]+chi2[4]+chi2[5])/6.; - } - if (j==4){ - fprintf(stderr,"final chi2: %f\n",storage); - } - // Initialization of the simplex method, compute ndim+1 points. - } - - - - - - fprintf(stdout,"%e %e %e %e %e %e %e\n",parameter[i],(p[0][0]+p[1][0]+p[2][0]+p[3][0]+p[4][0]+p[5][0])/6., - (p[0][1]+p[1][1]+p[2][1]+p[3][1]+p[4][1]+p[5][1])/6., - (p[0][2]+p[1][2]+p[2][2]+p[3][2]+p[4][1]+p[5][1])/6., - (p[0][3]+p[1][3]+p[2][3]+p[3][3]+p[4][3]+p[5][3])/6., - (p[0][4]+p[1][4]+p[2][4]+p[3][4]+p[4][4]+p[5][4])/6., - storage); - } - /*fprintf(stdout,"%e %e %e %e %e\n",parameter[i],(p[0][0]+p[1][0]+p[2][0]+p[3][0])/4.,*/ - /*(p[0][1]+p[1][1]+p[2][1]+p[3][1])/4.,*/ - /*(p[0][2]+p[1][2]+p[2][2]+p[3][2])/4.,*/ - /*chi2[0]);*/ - /*fprintf(stdout,"%e %e %e\n",parameter[i],(p[0][0]+p[1][0])/2.,chi2[0]);*/ - return _SUCCESS_; - - } - - -int class_assuming_bessels_computed( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct nonlinear * pnl, - struct lensing * ple, - struct output * pop, - double ** cl, - ErrorMsg errmsg) { - - int l; - double ** junk1; - double ** junk2; - - if (background_init(ppr,pba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",pba->error_message); - return _FAILURE_; - } - /*fprintf(stderr,"h = %e, omga_c = %e, omega_b = %e, Omega_Lambda = %e, Omega_ur = %e, z_eq = %e\n",pba->h,pba->Omega0_cdm*pba->h*pba->h,pba->Omega0_b*pba->h*pba->h,pba->Omega0_lambda,pba->Omega0_ur,(pba->Omega0_b+pba->Omega0_cdm)/(pba->Omega0_g+pba->Omega0_ur));*/ - - if (thermodynamics_init(ppr,pba,pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (perturb_init(ppr,pba,pth,ppt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(ppr,pba,pth,ppt,pbs,ptr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (primordial_init(ppr,ppt,ppm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (spectra_init(ppr,pba,ppt,ptr,ppm,psp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (nonlinear_init(ppr,pba,pth,ppt,pbs,ptr,ppm,psp,pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (lensing_init(ppr,ppt,psp,pnl,ple) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - for (l=2; l <= l_max; l++) { - - if (output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]) == _FAILURE_) { - printf("\n\nError in spectra_cl_at_l \n=>%s\n",psp->error_message); - return _FAILURE_;} - } - - - /****** done ******/ - - if (lensing_free(ple) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - if (nonlinear_free(pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (spectra_free(psp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (primordial_free(ppm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (transfer_free(ptr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(ppt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (thermodynamics_free(pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (background_free(pba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} - -int chi2_simple( - struct spectra * psp, - double ** cl1, - double ** cl2, - double * chi2) { - - int l; - - *chi2=0.; - for (l=2; l <= l_max; l++) { - *chi2 += - pow(((cl1[l][psp->index_ct_tt]-cl2[l][psp->index_ct_tt]) - /cl2[l][psp->index_ct_tt]),2) + - pow(((cl1[l][psp->index_ct_te]-cl2[l][psp->index_ct_te]) - /cl2[l][psp->index_ct_te]),2) + - pow(((cl1[l][psp->index_ct_ee]-cl2[l][psp->index_ct_ee]) - /cl2[l][psp->index_ct_ee]),2); - } - - return _SUCCESS_; - -} - -int chi2_planck( - struct spectra * psp, - double ** cl1, /* treated as 'theoretical spectrum' */ - double ** cl2, /* treated as 'observed spectrum' */ - double ** noise, - double * chi2) { - - int l; - double fsky=0.65; - double clTT_th,clEE_th,clTE_th; - double clTT_obs,clEE_obs,clTE_obs; - double det_mixed,det_th,det_obs; - double factor; - - *chi2=0.; - for (l=2; l <= l_max; l++) { - -/* if (psp->ct_size == 1) { */ - if (0==1) { - - *chi2 += fsky*(2.*l+1.)*((cl2[l][0]+noise[l][0])/ - (cl1[l][0]+noise[l][0])+ - log((cl1[l][0]+noise[l][0])/(cl2[l][0]+noise[l][0]))-1.); - -/* *chi2 += fsky*(2.*l+1.)*((cl2[l][0])/ */ -/* (cl1[l][0])+ */ -/* log((cl1[l][0])/(cl2[l][0]))-1.); */ - - -/* factor=l*(l+1.)/2./_PI_; */ -/* printf("%d %e %e %e\n",l,factor*cl1[l][0],factor*cl2[l][0],factor*noise[l][0]); */ - - } - else { - - clTT_th = cl1[l][psp->index_ct_tt]+noise[l][psp->index_ct_tt]; - clEE_th = cl1[l][psp->index_ct_ee]+noise[l][psp->index_ct_ee]; - clTE_th = cl1[l][psp->index_ct_te]; - - clTT_obs = cl2[l][psp->index_ct_tt]+noise[l][psp->index_ct_tt]; - clEE_obs = cl2[l][psp->index_ct_ee]+noise[l][psp->index_ct_ee]; - clTE_obs = cl2[l][psp->index_ct_te]; - - det_mixed = 0.5*(clTT_th*clEE_obs+clTT_obs*clEE_th)-clTE_th*clTE_obs; - - det_th = clTT_th*clEE_th-clTE_th*clTE_th; - - det_obs = clTT_obs*clEE_obs-clTE_obs*clTE_obs; - - *chi2 += fsky*(2.*l+1.)*(2.*(det_mixed/det_th-1.)+log(det_th/det_obs)); - } - } - - return _SUCCESS_; - -} - -int noise_planck( - struct background * pba, - struct thermo * pth, - struct spectra * psp, - double ** noise - ) { - - int num_channel,channel,l; - double * theta, * deltaT, * deltaP; - - num_channel=3; - - theta=malloc(num_channel*sizeof(double)); - deltaT=malloc(num_channel*sizeof(double)); - deltaP=malloc(num_channel*sizeof(double)); - - /* 100 GHz*/ - theta[0]=9.5/3437.75; /* converted from arcmin to radian */ - deltaT[0]=(6.8e-6/pba->T_cmb); /* converted from K to dimensionless */ - deltaP[0]=(10.9e-6/pba->T_cmb); /* converted from K to dimensionless */ - - /* 143 GHz*/ - theta[1]=7.1/3437.75; - deltaT[1]=(6.0e-6/pba->T_cmb); - deltaP[1]=(11.4e-6/pba->T_cmb); - - /* 217 GHz*/ - theta[2]=5.0/3437.75; - deltaT[2]=(13.1e-6/pba->T_cmb); - deltaP[2]=(26.7e-6/pba->T_cmb); - - for (l=2; l<=l_max; l++) { - - for (channel=0; channelhas_tt) { - noise[l][psp->index_ct_tt] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaT[channel]),2); - } - if (psp->has_ee) { - noise[l][psp->index_ct_ee] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaP[channel]),2); - } - } - - if (psp->has_tt) { - noise[l][psp->index_ct_tt] = 1./noise[l][psp->index_ct_tt]; - } - if (psp->has_ee) { - noise[l][psp->index_ct_ee] = 1./noise[l][psp->index_ct_ee]; - } - } - - free(theta); - free(deltaT); - free(deltaP); - - return _SUCCESS_; - -} - diff --git a/test/test_nonlinear.c b/test/test_fourier.c old mode 100755 new mode 100644 similarity index 59% rename from test/test_nonlinear.c rename to test/test_fourier.c index bf524e46..25209199 --- a/test/test_nonlinear.c +++ b/test/test_fourier.c @@ -10,17 +10,18 @@ int main(int argc, char **argv) { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error messages */ - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); return _FAILURE_; } @@ -35,8 +36,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); + if (perturbations_init(&pr,&ba,&th,&pt) == _FAILURE_) { + printf("\n\nError in perturbations_init \n=>%s\n",pt.error_message); return _FAILURE_; } @@ -45,69 +46,69 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",nl.error_message); + if (fourier_init(&pr,&ba,&th,&pt,&pm,&fo) == _FAILURE_) { + printf("\n\nError in fourier_init \n=>%s\n",fo.error_message); return _FAILURE_; } /****** output the transfer functions ******/ - double z,k_nl,k; + double z,k_nl,k_nl_cb,k; FILE * output; double * pvecback; int index_tau,index_k; int junk; double r_nl; - if (nl.method == nl_halofit) { + if (fo.method == nl_halofit) { printf("Non-linear scale k_NL found by halofit:\n"); z=0.; - if (nonlinear_k_nl_at_z(&ba,&nl,z,&k_nl) == _FAILURE_) { - printf("\n\nError in nonlinear_k_nl_at_z \n=>%s\n",nl.error_message); + if (fourier_k_nl_at_z(&ba,&fo,z,&k_nl,&k_nl_cb) == _FAILURE_) { + printf("\n\nError in fourier_k_nl_at_z \n=>%s\n",fo.error_message); return _FAILURE_; } printf(" z=%f k_nl=%e\n",z,k_nl); z=0.5; - if (nonlinear_k_nl_at_z(&ba,&nl,z,&k_nl) == _FAILURE_) { - printf("\n\nError in nonlinear_k_nl_at_z \n=>%s\n",nl.error_message); + if (fourier_k_nl_at_z(&ba,&fo,z,&k_nl,&k_nl_cb) == _FAILURE_) { + printf("\n\nError in fourier_k_nl_at_z \n=>%s\n",fo.error_message); return _FAILURE_; } printf(" z=%f k_nl=%e\n",z,k_nl); z=1.0; - if (nonlinear_k_nl_at_z(&ba,&nl,z,&k_nl) == _FAILURE_) { - printf("\n\nError in nonlinear_k_nl_at_z \n=>%s\n",nl.error_message); + if (fourier_k_nl_at_z(&ba,&fo,z,&k_nl,&k_nl_cb) == _FAILURE_) { + printf("\n\nError in fourier_k_nl_at_z \n=>%s\n",fo.error_message); return _FAILURE_; } printf(" z=%f k_nl=%e\n",z,k_nl); printf("Non-linear correction factor r_nl=sqrt(P_nl/P_l) written in file with columns (z, k, r_nl\n"); - output=fopen("output/r_nl.dat","w"); + output=fopen("output/r_fo.dat","w"); pvecback=malloc(ba.bg_size_short*sizeof(double)); - for (index_tau=0; index_tau%s\n",ba.error_message); return _FAILURE_; } - z=ba.a_today/pvecback[ba.index_bg_a]-1.; + z=1./pvecback[ba.index_bg_a]-1.; - for (index_k=0; index_k%s\n",nl.error_message); + if (fourier_free(&fo) == _FAILURE_) { + printf("\n\nError in fourier_free \n=>%s\n",fo.error_message); return _FAILURE_; } @@ -130,8 +131,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); + if (perturbations_free(&pt) == _FAILURE_) { + printf("\n\nError in perturbations_free \n=>%s\n",pt.error_message); return _FAILURE_; } diff --git a/test/test_harmonic.c b/test/test_harmonic.c new file mode 100644 index 00000000..e39e0e3c --- /dev/null +++ b/test/test_harmonic.c @@ -0,0 +1,126 @@ +/** @file test_harmonic.c + * + * Julien Lesgourgues, 26.08.2010 + * + * main intended for computing power spectra, not using the output module. + * + */ + +#include "class.h" + +int main(int argc, char **argv) { + + struct precision pr; /* for precision parameters */ + struct background ba; /* for cosmological background */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct primordial pm; /* for primordial spectra */ + struct fourier fo; /* for non-linear spectra */ + struct transfer tr; /* for transfer functions */ + struct harmonic hr; /* for output spectra */ + struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ + struct output op; /* for output files */ + ErrorMsg errmsg; /* for error messages */ + + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { + printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); + return _FAILURE_; + } + + if (background_init(&pr,&ba) == _FAILURE_) { + printf("\n\nError running background_init \n=>%s\n",ba.error_message); + return _FAILURE_; + } + + if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { + printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); + return _FAILURE_; + } + + if (perturbations_init(&pr,&ba,&th,&pt) == _FAILURE_) { + printf("\n\nError in perturbations_init \n=>%s\n",pt.error_message); + return _FAILURE_; + } + + if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { + printf("\n\nError in primordial_init \n=>%s\n",pm.error_message); + return _FAILURE_; + } + + if (fourier_init(&pr,&ba,&th,&pt,&pm,&fo) == _FAILURE_) { + printf("\n\nError in fourier_init \n=>%s\n",fo.error_message); + return _FAILURE_; + } + + if (transfer_init(&pr,&ba,&th,&pt,&fo,&tr) == _FAILURE_) { + printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); + return _FAILURE_; + } + + if (harmonic_init(&pr,&ba,&pt,&pm,&fo,&tr,&hr) == _FAILURE_) { + printf("\n\nError in harmonic_init \n=>%s\n",hr.error_message); + return _FAILURE_; + } + + /****** output Cls ******/ + + FILE * output; + int index_mode=0; + int index_ic1_ic2=0; + int index_ct=0; + int index_l; + + if (pt.has_cmb == _TRUE_) { + + output=fopen("output/testing_cls.dat","w"); + + for (index_l=0; index_l < hr.l_size[index_mode]; index_l++) + fprintf(output,"%g %g\n", + hr.l[index_l], + hr.cl[index_mode][(index_l * hr.ic_ic_size[index_mode] + index_ic1_ic2) * hr.ct_size + index_ct]); + + fclose(output); + + } + + /****************************/ + + if (harmonic_free(&hr) == _FAILURE_) { + printf("\n\nError in harmonic_free \n=>%s\n",hr.error_message); + return _FAILURE_; + } + + if (transfer_free(&tr) == _FAILURE_) { + printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); + return _FAILURE_; + } + + if (fourier_free(&fo) == _FAILURE_) { + printf("\n\nError in fourier_free \n=>%s\n",fo.error_message); + return _FAILURE_; + } + + if (primordial_free(&pm) == _FAILURE_) { + printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); + return _FAILURE_; + } + + if (perturbations_free(&pt) == _FAILURE_) { + printf("\n\nError in perturbations_free \n=>%s\n",pt.error_message); + return _FAILURE_; + } + + if (thermodynamics_free(&th) == _FAILURE_) { + printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); + return _FAILURE_; + } + + if (background_free(&ba) == _FAILURE_) { + printf("\n\nError in background_free \n=>%s\n",ba.error_message); + return _FAILURE_; + } + + return _SUCCESS_; + +} diff --git a/test/test_loops.c b/test/test_loops.c old mode 100755 new mode 100644 index 450d49bf..bd3f6792 --- a/test/test_loops.c +++ b/test/test_loops.c @@ -12,13 +12,14 @@ int class( struct file_content *pfc, struct precision * ppr, struct background * pba, - struct thermo * pth, - struct perturbs * ppt, + struct thermodynamics * pth, + struct perturbations * ppt, struct primordial * ppm, - struct nonlinear * pnl, - struct transfers * ptr, - struct spectra * psp, + struct fourier * pfo, + struct transfer * ptr, + struct harmonic * phr, struct lensing * ple, + struct distortions * psd, struct output * pop, int l_max, double ** cl, @@ -26,7 +27,7 @@ int class( int l; - class_call(input_init(pfc,ppr,pba,pth,ppt,ptr,ppm,psp,pnl,ple,pop,errmsg), + class_call(input_read_from_file(pfc,ppr,pba,pth,ppt,ptr,ppm,phr,pfo,ple,psd,pop,errmsg), errmsg, errmsg); @@ -38,7 +39,7 @@ int class( pth->error_message, errmsg); - class_call(perturb_init(ppr,pba,pth,ppt), + class_call(perturbations_init(ppr,pba,pth,ppt), ppt->error_message, errmsg); @@ -46,19 +47,19 @@ int class( ppm->error_message, errmsg); - class_call(nonlinear_init(ppr,pba,pth,ppt,ppm,pnl), - pnl->error_message, + class_call(fourier_init(ppr,pba,pth,ppt,ppm,pfo), + pfo->error_message, errmsg); - class_call(transfer_init(ppr,pba,pth,ppt,pnl,ptr), + class_call(transfer_init(ppr,pba,pth,ppt,pfo,ptr), ptr->error_message, errmsg); - class_call(spectra_init(ppr,pba,ppt,ppm,pnl,ptr,psp), - psp->error_message, + class_call(harmonic_init(ppr,pba,ppt,ppm,pfo,ptr,phr), + phr->error_message, errmsg); - class_call(lensing_init(ppr,ppt,psp,pnl,ple), + class_call(lensing_init(ppr,ppt,phr,pfo,ple), ple->error_message, errmsg); @@ -66,8 +67,8 @@ int class( for (l=2; l <= l_max; l++) { - class_call(output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]), - psp->error_message, + class_call(output_total_cl_at_l(phr,ple,pop,(double)l,cl[l]), + phr->error_message, errmsg); } @@ -77,23 +78,23 @@ int class( ple->error_message, errmsg); - class_call(spectra_free(psp), - psp->error_message, + class_call(harmonic_free(phr), + phr->error_message, errmsg); class_call(transfer_free(ptr), ptr->error_message, errmsg); - class_call(nonlinear_free(pnl), - pnl->error_message, + class_call(fourier_free(pfo), + pfo->error_message, errmsg); class_call(primordial_free(ppm), ppm->error_message, errmsg); - class_call(perturb_free(ppt), + class_call(perturbations_free(ppt), ppt->error_message, errmsg); @@ -113,13 +114,14 @@ int main() { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error messages */ @@ -187,7 +189,7 @@ int main() { printf("#run with omega_b = %s\n",fc.value[4]); /* calls class and return the C_l's*/ - if (class(&fc,&pr,&ba,&th,&pt,&pm,&nl,&tr,&sp,&le,&op,l_max,cl,errmsg) == _FAILURE_) { + if (class(&fc,&pr,&ba,&th,&pt,&pm,&fo,&tr,&hr,&le,&sd,&op,l_max,cl,errmsg) == _FAILURE_) { printf("\n\nError in class \n=>%s\n",errmsg); return _FAILURE_; } @@ -196,9 +198,9 @@ int main() { for (l=2;l<=l_max;l++) { fprintf(stdout,"%d %e %e %e\n", l, - cl[l][sp.index_ct_tt], - cl[l][sp.index_ct_ee], - cl[l][sp.index_ct_te]); + cl[l][hr.index_ct_tt], + cl[l][hr.index_ct_ee], + cl[l][hr.index_ct_te]); } fprintf(stdout,"\n"); } diff --git a/test/test_loops_omp.c b/test/test_loops_omp.c index 8fd67b27..c6a78d71 100644 --- a/test/test_loops_omp.c +++ b/test/test_loops_omp.c @@ -1,311 +1,313 @@ -/** @file class.c - * Julien Lesgourgues, 17.04.2011 - */ - -/* this main calls CLASS several times in a loop, with different input - parameters. It illustrates how the code could be interfaced with a - parameter extraction code. */ - -/* JL 17.03.2016: implemented here nested openMP loops. The user - chooses how many instances of CLASS are run in parallel (by setting - the variable number_of_class_instances below). Each of them uses a - number of thread such that all cores are used. */ - -#include "class.h" - -int class( - struct file_content *pfc, - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct primordial * ppm, - struct nonlinear * pnl, - struct transfers * ptr, - struct spectra * psp, - struct lensing * ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg) { - - int l; - - class_call(input_init(pfc,ppr,pba,pth,ppt,ptr,ppm,psp,pnl,ple,pop,errmsg), - errmsg, - errmsg); - - class_call(background_init(ppr,pba), - pba->error_message, - errmsg); - - class_call(thermodynamics_init(ppr,pba,pth), - pth->error_message, - errmsg); - - class_call(perturb_init(ppr,pba,pth,ppt), - ppt->error_message, - errmsg); - - class_call(primordial_init(ppr,ppt,ppm), - ppm->error_message, - errmsg); - - class_call(nonlinear_init(ppr,pba,pth,ppt,ppm,pnl), - pnl->error_message, - errmsg); - - class_call(transfer_init(ppr,pba,pth,ppt,pnl,ptr), - ptr->error_message, - errmsg); - - class_call(spectra_init(ppr,pba,ppt,ppm,pnl,ptr,psp), - psp->error_message, - errmsg); - - class_call(lensing_init(ppr,ppt,psp,pnl,ple), - ple->error_message, - errmsg); - - /****** write the Cl values in the input array cl[l] *******/ - - for (l=2; l <= l_max; l++) { - - class_call(output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]), - psp->error_message, - errmsg); - } - - /****** all calculations done, now free the structures ******/ - - class_call(lensing_free(ple), - ple->error_message, - errmsg); - - class_call(spectra_free(psp), - psp->error_message, - errmsg); - - class_call(transfer_free(ptr), - ptr->error_message, - errmsg); - - class_call(nonlinear_free(pnl), - pnl->error_message, - errmsg); - - class_call(primordial_free(ppm), - ppm->error_message, - errmsg); - - class_call(perturb_free(ppt), - ppt->error_message, - errmsg); - - class_call(thermodynamics_free(pth), - pth->error_message, - errmsg); - - class_call(background_free(pba), - pba->error_message, - errmsg); - - return _SUCCESS_; - -} - -int main() { - - /* shared variable that will be common to all CLASS instances */ - int i; - int l,l_max; - int num_ct_max=7; - int num_loops=10; - - struct file_content fc; - ErrorMsg errmsg_parser; - - int total_number_of_threads; - int number_of_class_instances; - int number_of_threads_inside_class; - - int index_ct_tt; - int index_ct_ee; - int index_ct_te; - - /* dealing with the openMP part (number of instances, number of - threads per instance...) */ - -#ifdef _OPENMP - - /* Determine the number of threads, class instances and nested - threads */ - total_number_of_threads = omp_get_max_threads(); - - /* User-fixed number of CLASS instances to be run in parallel (Total - number of threads should be dividable by this number) */ - number_of_class_instances=2; - - if ((total_number_of_threads % number_of_class_instances) != 0) - printf("The total number of threads, %d, is not a mutiple of the requested number of CLASS instances, %d\n",total_number_of_threads,number_of_class_instances); - number_of_threads_inside_class = total_number_of_threads/number_of_class_instances; - - /* inferred number of threads per instance */ - printf("# Total number of available threads = %d, used to run\n", - total_number_of_threads); - printf("# -> %d CLASS executables in parallel\n", - number_of_class_instances); - printf("# -> %d threads inside each CLASS executables\n", - number_of_threads_inside_class); - - /* Turn on nested parallelism */ - omp_set_nested(1); -#endif - - /* choose a value of l_max in C_l's */ - l_max=3000; - - /* all parameters for which we don't want to keep default values - should be passed to the code through a file_content - structure. Create such a structure with the size you need: 10 in - this exemple */ - parser_init(&fc,10,"",errmsg_parser); - - /* assign values to these 9 parameters. Some will be fixed, some - will be varied in the loop. */ - strcpy(fc.name[0],"output"); - strcpy(fc.value[0],"tCl,pCl,lCl"); - - strcpy(fc.name[1],"l_max_scalars"); - sprintf(fc.value[1],"%d",l_max); - - strcpy(fc.name[2],"lensing"); - sprintf(fc.value[2],"yes"); - - strcpy(fc.name[3],"H0"); - sprintf(fc.value[3],"%e",72.); - - strcpy(fc.name[4],"omega_b"); - sprintf(fc.value[4],"%e",0.024); - - strcpy(fc.name[5],"omega_cdm"); - sprintf(fc.value[5],"%e",0.05); - - strcpy(fc.name[6],"z_reio"); - sprintf(fc.value[6],"%e",10.); - - strcpy(fc.name[7],"A_s"); - sprintf(fc.value[7],"%e",2.3e-9); - - strcpy(fc.name[8],"n_s"); - sprintf(fc.value[8],"%e",1.); - - strcpy(fc.name[9],"perturbations_verbose"); - sprintf(fc.value[9],"%d",0); // Trick: set to 2 to cross-check actual number of threads per CLASS instance - - /* Create an array of Cl's where all results will be stored for each parameter value in the loop */ - double *** cl; - cl = malloc(num_loops*sizeof(double**)); - - /* Create one thread for each instance of CLASS */ -#pragma omp parallel num_threads(number_of_class_instances) - { - - /* set the number of threads inside each CLASS instance */ -#ifdef _OPENMP - omp_set_num_threads(number_of_threads_inside_class); -#endif - - /* for each thread/instance, create all CLASS input/output - structures (these variables are being declared insode the - parallel zone, hence they are openMP private variables) */ - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - ErrorMsg errmsg; /* for error messages */ - - struct file_content fc_local; - int j,iam; - - /* copy the shared file content into the local file content used by each instance */ - parser_init(&fc_local,fc.size,"",errmsg); - for (j=0; j < fc.size; j++) { - strcpy(fc_local.value[j],fc.value[j]); - strcpy(fc_local.name[j],fc.name[j]); - fc_local.read[j]=fc.read[j]; - } - - /* loop over (num_loops) values of some parameters: in this exemple, omega_b */ -#pragma omp for schedule(static,1) - for (i=0; i<=num_loops; i++) { - -#ifdef _OPENMP - iam=omp_get_thread_num(); -#else - iam=0; -#endif - - /* assign one value to omega_b */ - sprintf(fc_local.value[4],"%e",0.01+i*0.002); - - printf("# %d\tthread=%d : running with omega_b = %s\n",i,iam,fc_local.value[4]); - - /* allocate the array where the Cl's calculated by one instance - will be written (we could add another array with P(k), or - extract other results from the code - here we assume that we - are interested in the C_l's only */ - cl[i]=malloc((l_max+1)*sizeof(double*)); - for (l=0;l<=l_max;l++) - cl[i][l]=malloc(num_ct_max*sizeof(double)); - - /* calls class and return the C_l's*/ - if (class(&fc_local,&pr,&ba,&th,&pt,&pm,&nl,&tr,&sp,&le,&op,l_max,cl[i],errmsg) == _FAILURE_) { - printf("\n\nError in class \n=>%s\n",errmsg); - //return _FAILURE_; - } - - /* if this is the first call, extract dynamically the value of indices used in the output */ - if ((i==0) && (iam==0)) { - index_ct_tt=sp.index_ct_tt; - index_ct_te=sp.index_ct_te; - index_ct_ee=sp.index_ct_ee; - } - - } // end of loop over parameters - } // end parallel zone - - /* write in file the lensed C_l^TT, C_l^EE, C_l^TE's obtained in all runs */ - - FILE * out=fopen("output/test_loops_omp.dat","w"); - - for (i=0; ierror_message, + errmsg); + + class_call(thermodynamics_init(ppr,pba,pth), + pth->error_message, + errmsg); + + class_call(perturbations_init(ppr,pba,pth,ppt), + ppt->error_message, + errmsg); + + class_call(primordial_init(ppr,ppt,ppm), + ppm->error_message, + errmsg); + + class_call(fourier_init(ppr,pba,pth,ppt,ppm,pfo), + pfo->error_message, + errmsg); + + class_call(transfer_init(ppr,pba,pth,ppt,pfo,ptr), + ptr->error_message, + errmsg); + + class_call(harmonic_init(ppr,pba,ppt,ppm,pfo,ptr,phr), + phr->error_message, + errmsg); + + class_call(lensing_init(ppr,ppt,phr,pfo,ple), + ple->error_message, + errmsg); + + /****** write the Cl values in the input array cl[l] *******/ + + for (l=2; l <= l_max; l++) { + + class_call(output_total_cl_at_l(phr,ple,pop,(double)l,cl[l]), + phr->error_message, + errmsg); + } + + /****** all calculations done, now free the structures ******/ + + class_call(lensing_free(ple), + ple->error_message, + errmsg); + + class_call(harmonic_free(phr), + phr->error_message, + errmsg); + + class_call(transfer_free(ptr), + ptr->error_message, + errmsg); + + class_call(fourier_free(pfo), + pfo->error_message, + errmsg); + + class_call(primordial_free(ppm), + ppm->error_message, + errmsg); + + class_call(perturbations_free(ppt), + ppt->error_message, + errmsg); + + class_call(thermodynamics_free(pth), + pth->error_message, + errmsg); + + class_call(background_free(pba), + pba->error_message, + errmsg); + + return _SUCCESS_; + +} + +int main() { + + /* shared variable that will be common to all CLASS instances */ + int i; + int l,l_max; + int num_ct_max=7; + int num_loops=10; + + struct file_content fc; + ErrorMsg errmsg_parser; + + int total_number_of_threads; + int number_of_class_instances; + int number_of_threads_inside_class; + + int index_ct_tt; + int index_ct_ee; + int index_ct_te; + + /* dealing with the openMP part (number of instances, number of + threads per instance...) */ + +#ifdef _OPENMP + + /* Determine the number of threads, class instances and nested + threads */ + total_number_of_threads = omp_get_max_threads(); + + /* User-fixed number of CLASS instances to be run in parallel (Total + number of threads should be dividable by this number) */ + number_of_class_instances=2; + + if ((total_number_of_threads % number_of_class_instances) != 0) + printf("The total number of threads, %d, is not a mutiple of the requested number of CLASS instances, %d\n",total_number_of_threads,number_of_class_instances); + number_of_threads_inside_class = total_number_of_threads/number_of_class_instances; + + /* inferred number of threads per instance */ + printf("# Total number of available threads = %d, used to run\n", + total_number_of_threads); + printf("# -> %d CLASS executables in parallel\n", + number_of_class_instances); + printf("# -> %d threads inside each CLASS executables\n", + number_of_threads_inside_class); + + /* Turn on nested parallelism */ + omp_set_nested(1); +#endif + + /* choose a value of l_max in C_l's */ + l_max=3000; + + /* all parameters for which we don't want to keep default values + should be passed to the code through a file_content + structure. Create such a structure with the size you need: 10 in + this exemple */ + parser_init(&fc,10,"",errmsg_parser); + + /* assign values to these 9 parameters. Some will be fixed, some + will be varied in the loop. */ + strcpy(fc.name[0],"output"); + strcpy(fc.value[0],"tCl,pCl,lCl"); + + strcpy(fc.name[1],"l_max_scalars"); + sprintf(fc.value[1],"%d",l_max); + + strcpy(fc.name[2],"lensing"); + sprintf(fc.value[2],"yes"); + + strcpy(fc.name[3],"H0"); + sprintf(fc.value[3],"%e",72.); + + strcpy(fc.name[4],"omega_b"); + sprintf(fc.value[4],"%e",0.024); + + strcpy(fc.name[5],"omega_cdm"); + sprintf(fc.value[5],"%e",0.05); + + strcpy(fc.name[6],"z_reio"); + sprintf(fc.value[6],"%e",10.); + + strcpy(fc.name[7],"A_s"); + sprintf(fc.value[7],"%e",2.3e-9); + + strcpy(fc.name[8],"n_s"); + sprintf(fc.value[8],"%e",1.); + + strcpy(fc.name[9],"perturbations_verbose"); + sprintf(fc.value[9],"%d",0); // Trick: set to 2 to cross-check actual number of threads per CLASS instance + + /* Create an array of Cl's where all results will be stored for each parameter value in the loop */ + double *** cl; + cl = malloc(num_loops*sizeof(double**)); + + /* Create one thread for each instance of CLASS */ +#pragma omp parallel num_threads(number_of_class_instances) + { + + /* set the number of threads inside each CLASS instance */ +#ifdef _OPENMP + omp_set_num_threads(number_of_threads_inside_class); +#endif + + /* for each thread/instance, create all CLASS input/output + structures (these variables are being declared insode the + parallel zone, hence they are openMP private variables) */ + + struct precision pr; /* for precision parameters */ + struct background ba; /* for cosmological background */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ + struct primordial pm; /* for primordial spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ + struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ + struct output op; /* for output files */ + ErrorMsg errmsg; /* for error messages */ + + struct file_content fc_local; + int j,iam; + + /* copy the shared file content into the local file content used by each instance */ + parser_init(&fc_local,fc.size,"",errmsg); + for (j=0; j < fc.size; j++) { + strcpy(fc_local.value[j],fc.value[j]); + strcpy(fc_local.name[j],fc.name[j]); + fc_local.read[j]=fc.read[j]; + } + + /* loop over (num_loops) values of some parameters: in this exemple, omega_b */ +#pragma omp for schedule(static,1) + for (i=0; i<=num_loops; i++) { + +#ifdef _OPENMP + iam=omp_get_thread_num(); +#else + iam=0; +#endif + + /* assign one value to omega_b */ + sprintf(fc_local.value[4],"%e",0.01+i*0.002); + + printf("# %d\tthread=%d : running with omega_b = %s\n",i,iam,fc_local.value[4]); + + /* allocate the array where the Cl's calculated by one instance + will be written (we could add another array with P(k), or + extract other results from the code - here we assume that we + are interested in the C_l's only */ + cl[i]=malloc((l_max+1)*sizeof(double*)); + for (l=0;l<=l_max;l++) + cl[i][l]=malloc(num_ct_max*sizeof(double)); + + /* calls class and return the C_l's*/ + if (class(&fc_local,&pr,&ba,&th,&pt,&pm,&fo,&tr,&hr,&le,&sd,&op,l_max,cl[i],errmsg) == _FAILURE_) { + printf("\n\nError in class \n=>%s\n",errmsg); + //return _FAILURE_; + } + + /* if this is the first call, extract dynamically the value of indices used in the output */ + if ((i==0) && (iam==0)) { + index_ct_tt=hr.index_ct_tt; + index_ct_te=hr.index_ct_te; + index_ct_ee=hr.index_ct_ee; + } + + } // end of loop over parameters + } // end parallel zone + + /* write in file the lensed C_l^TT, C_l^EE, C_l^TE's obtained in all runs */ + + FILE * out=fopen("output/test_loops_omp.dat","w"); + + for (i=0; i%s\n",errmsg); - return _FAILURE_; - } - - //l_max = pt.l_scalar_max; - l_max=3000; - - class_alloc(parameter,param_num*sizeof(double),errmsg); - - class_calloc(noise,(l_max+1),sizeof(double*),errmsg); - for (l=2; l <= l_max; l++) { - class_calloc(noise[l],2,sizeof(double),errmsg); - } - - - if (ref_run >= param_num) { - fprintf(stderr,"ref_run=%d out of allowed range\n",ref_run); - return _FAILURE_; - } - - else if (ref_run >= 0) { - class_alloc(cl,param_num*sizeof(double**),errmsg); - for (i=0; i%s\n",bs.error_message); - return _FAILURE_; - } - - for (i=0; i%s\n",bs.error_message); - return _FAILURE_; - } - - noise_planck(&ba,&th,&sp,noise,l_max); - - for (i=0; i10.) { - fprintf(stderr,"parameter=%e BAD: chi2=%e \n", - parameter[i],chi2); - } - else { - fprintf(stderr,"parameter=%e OK : chi2=%e \n", - parameter[i],chi2); - } - } - - return _SUCCESS_; - -} - - -int class( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct nonlinear * pnl, - struct lensing *ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg) { - - int l; - double ** junk1; - double ** junk2; - - if (background_init(ppr,pba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - if (thermodynamics_init(ppr,pba,pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (perturb_init(ppr,pba,pth,ppt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (bessel_init(ppr,pbs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",pbs->error_message); - return _FAILURE_; - } - - if (transfer_init(ppr,pba,pth,ppt,pbs,ptr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (primordial_init(ppr,ppt,ppm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (spectra_init(ppr,pba,ppt,ptr,ppm,psp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (nonlinear_init(ppr,pba,pth,ppm,psp,pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",pnl->error_message); - return _FAILURE_; - } - - if (lensing_init(ppr,ppt,psp,pnl,ple) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - for (l=2; l <= l_max; l++) { - - if (output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]) == _FAILURE_) { - printf("\n\nError in spectra_cl_at_l \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - } - - /****** done ******/ - - if (lensing_free(ple) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - if (nonlinear_free(pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",pnl->error_message); - return _FAILURE_; - } - - if (spectra_free(psp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (primordial_free(ppm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (transfer_free(ptr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (bessel_free(pbs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",pbs->error_message); - return _FAILURE_; - } - - if (perturb_free(ppt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (thermodynamics_free(pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (background_free(pba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} - -int class_assuming_bessels_computed( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct nonlinear * pnl, - struct lensing * ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg) { - - int l; - double ** junk1; - double ** junk2; - - if (background_init(ppr,pba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - if (thermodynamics_init(ppr,pba,pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (perturb_init(ppr,pba,pth,ppt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (transfer_init(ppr,pba,pth,ppt,pbs,ptr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (primordial_init(ppr,ppt,ppm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (spectra_init(ppr,pba,ppt,ptr,ppm,psp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (nonlinear_init(ppr,pba,pth,ppm,psp,pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",pnl->error_message); - return _FAILURE_; - } - - if (lensing_init(ppr,ppt,psp,pnl,ple) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - for (l=2; l <= l_max; l++) { - - if (output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]) == _FAILURE_) { - printf("\n\nError in spectra_cl_at_l \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - //fprintf(stderr,"%d %e %e %e\n",l,cl[l][0],cl[l][1],cl[l][2]); - - } - - /****** done ******/ - - if (lensing_free(ple) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - if (nonlinear_free(pnl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",pnl->error_message); - return _FAILURE_; - } - - if (spectra_free(psp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (primordial_free(ppm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (transfer_free(ptr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (perturb_free(ppt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (thermodynamics_free(pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (background_free(pba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} - -int chi2_simple( - struct spectra * psp, - double ** cl1, - double ** cl2, - int lmax, - double * chi2) { - - int l; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - *chi2 += - pow(((cl1[l][psp->index_ct_tt]-cl2[l][psp->index_ct_tt]) - /cl2[l][psp->index_ct_tt]),2) + - pow(((cl1[l][psp->index_ct_te]-cl2[l][psp->index_ct_te]) - /cl2[l][psp->index_ct_te]),2) + - pow(((cl1[l][psp->index_ct_ee]-cl2[l][psp->index_ct_ee]) - /cl2[l][psp->index_ct_ee]),2); - } - - return _SUCCESS_; - -} - -int chi2_planck( - struct spectra * psp, - double ** cl1, /* treated as 'theoretical spectrum' */ - double ** cl2, /* treated as 'observed spectrum' */ - double ** nl, - int lmax, - double * chi2) { - - int l; - double fsky=0.8; - double clTT_th,clEE_th,clTE_th; - double clTT_obs,clEE_obs,clTE_obs; - double det_mixed,det_th,det_obs; - double factor; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - -/* if (psp->ct_size == 1) { */ - if (0==1) { - - *chi2 += fsky*(2.*l+1.)*((cl2[l][0]+nl[l][0])/ - (cl1[l][0]+nl[l][0])+ - log((cl1[l][0]+nl[l][0])/(cl2[l][0]+nl[l][0]))-1.); - - //fprintf(stderr,"%d %e %e %e\n",l,cl1[l][0],cl1[l][1],cl1[l][2]); - //fprintf(stderr,"%d %e %e %e\n",l,cl2[l][0],cl2[l][1],cl2[l][2]); - //fprintf(stderr,"%d %e %e\n",l,nl[l][0],nl[l][1]); - -/* *chi2 += fsky*(2.*l+1.)*((cl2[l][0])/ */ -/* (cl1[l][0])+ */ -/* log((cl1[l][0])/(cl2[l][0]))-1.); */ - - -/* factor=l*(l+1.)/2./_PI_; */ -/* printf("%d %e %e %e\n",l,factor*cl1[l][0],factor*cl2[l][0],factor*nl[l][0]); */ - - } - else { - - clTT_th = cl1[l][psp->index_ct_tt]+nl[l][psp->index_ct_tt]; - clEE_th = cl1[l][psp->index_ct_ee]+nl[l][psp->index_ct_ee]; - clTE_th = cl1[l][psp->index_ct_te]; - - clTT_obs = cl2[l][psp->index_ct_tt]+nl[l][psp->index_ct_tt]; - clEE_obs = cl2[l][psp->index_ct_ee]+nl[l][psp->index_ct_ee]; - clTE_obs = cl2[l][psp->index_ct_te]; - - //printf("%e %e %e %e %e %e\n",clTT_th,clTT_obs,clEE_th,clEE_obs,clTE_th,clTE_obs); - - det_mixed = 0.5*(clTT_th*clEE_obs+clTT_obs*clEE_th)-clTE_th*clTE_obs; - - det_th = clTT_th*clEE_th-clTE_th*clTE_th; - - det_obs = clTT_obs*clEE_obs-clTE_obs*clTE_obs; - - *chi2 += fsky*(2.*l+1.)*(2.*(det_mixed/det_th-1.)+log(det_th/det_obs)); - } - } - - return _SUCCESS_; - -} - -int noise_planck( - struct background * pba, - struct thermo * pth, - struct spectra * psp, - double ** nl, - int lmax - ) { - - int num_channel,channel,l; - double * theta, * deltaT, * deltaP; - - num_channel=3; - - theta=malloc(num_channel*sizeof(double)); - deltaT=malloc(num_channel*sizeof(double)); - deltaP=malloc(num_channel*sizeof(double)); - - /* 100 GHz*/ - theta[0]=9.5/3437.75; /* converted from arcmin to radian */ - deltaT[0]=(6.8e-6/pba->Tcmb); /* converted from K to dimensionless */ - deltaP[0]=(10.9e-6/pba->Tcmb); /* converted from K to dimensionless */ - - /* 143 GHz*/ - theta[1]=7.1/3437.75; - deltaT[1]=(6.0e-6/pba->Tcmb); - deltaP[1]=(11.4e-6/pba->Tcmb); - - /* 217 GHz*/ - theta[2]=5.0/3437.75; - deltaT[2]=(13.1e-6/pba->Tcmb); - deltaP[2]=(26.7e-6/pba->Tcmb); - - for (l=2; l<=lmax; l++) { - - for (channel=0; channelhas_tt) { - nl[l][0] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaT[channel]),2); - } - if (psp->has_ee) { - nl[l][1] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaP[channel]),2); - } - } - - if (psp->has_tt) { - nl[l][0] = 1./nl[l][0]; - } - if (psp->has_ee) { - nl[l][1] = 1./nl[l][1]; - } - - //fprintf(stderr,"%d %e %e\n",l,nl[l][0],nl[l][1]); - - } - - free(theta); - free(deltaT); - free(deltaP); - - return _SUCCESS_; - -} diff --git a/test/test_optimize_1D.c b/test/test_optimize_1D.c deleted file mode 100755 index 7249d0c2..00000000 --- a/test/test_optimize_1D.c +++ /dev/null @@ -1,595 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 20.04.2010 - */ - -#include "class.h" - -int class( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct lensing *ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg); - -int class_assuming_bessels_computed( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct lensing *ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg); - -int chi2_simple( - struct spectra * psp, - double ** cl1, - double ** cl2, - int lmax, - double * chi2); - -int chi2_planck( - struct spectra * psp, - double ** cl1, - double ** cl2, - double ** nl, - int lmax, - double * chi2); - -int noise_planck( - struct background * pba, - struct thermo * pth, - struct spectra * psp, - double ** nl, - int lmax - ); - -int main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - struct spectra_nl nl; /* for calculation of non-linear spectra */ - - ErrorMsg errmsg; - - int i,l_max,l; - - struct file_content fc; - - double parameter_initial,parameter_logstep; - double * parameter; - int param_num; - - double *** cl; - double ** noise; - double chi2,chi2_bis; - double percentage,max_percentage; - int max_l; - int ref_run; - - l_max=2500; - - parser_init(&fc,4,errmsg); - - strcpy(fc.name[0],"output"); - strcpy(fc.value[0],"tCl,pCl"); - - strcpy(fc.name[1],"l_max_scalars"); - sprintf(fc.value[1],"%d",l_max); - -/* strcpy(fc.name[2],"perturbations_verbose"); */ -/* sprintf(fc.value[2],"%d",2); */ - -/*******************************************************/ - - strcpy(fc.name[2],"lensing"); - strcpy(fc.value[2],"no"); - - strcpy(fc.name[3],"transfer_cut_threshold_cl"); - - parameter_initial=1.e-7; - parameter_logstep=1.3; - - param_num=30; - ref_run=0; - -/*******************************************************/ - - class_alloc(cl,param_num*sizeof(double**),errmsg); - class_alloc(parameter,param_num*sizeof(double),errmsg); - for (i=0; i%s\n",errmsg); - return _FAILURE_; - } - - if (i==0) { - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - } - - - /* class(&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&le,&op,l_max,cl[i],errmsg); */ - class_assuming_bessels_computed(&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&le,&op,l_max,cl[i],errmsg); - - -/* for (l=2; l <= 2500; l++) */ -/* printf("%d %e %e %e\n",l, */ - /* (l*(l+1)/2./_PI_)*cl[i][l][0], */ /* here cl is the dimensionless C_l */ - /* (l*(l+1)/2./_PI_)*cl[i][l][1], */ /* multiply by pow((th.Tcmb*1.e6),2) for muK */ -/* (l*(l+1)/2./_PI_)*cl[i][l][2]); */ - -/* printf("\n"); */ - - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - -/* for (i=0; i max_percentage) { */ -/* max_percentage = percentage; */ -/* max_l = l; */ -/* } */ -/* } */ - -/* chi2_simple(cl[i],cl[param_num-1],2500,&chi2_bis); */ - -/* fprintf(stderr,"parameter=%e chi2=%e (%e) l=%d percentage=%g\n", */ -/* parameter[i],chi2,chi2_bis,max_l,max_percentage); */ -/* } */ - - noise_planck(&ba,&th,&sp,noise,l_max); - -/* for (l=2;l<=l_max;l++) { */ -/* printf("%d %e %e %e %e %e %e\n",l, */ -/* (l*(l+1)/2./_PI_)*cl[0][l][0]*pow(th.Tcmb*1.e6,2), */ -/* (l*(l+1)/2./_PI_)*cl[0][l][1]*pow(th.Tcmb*1.e6,2), */ -/* (l*(l+1)/2./_PI_)*cl[0][l][2]*pow(th.Tcmb*1.e6,2), */ -/* (l*(l+1)/2./_PI_)*noise[l][0]*pow(th.Tcmb*1.e6,2), */ -/* (l*(l+1)/2./_PI_)*noise[l][1]*pow(th.Tcmb*1.e6,2), */ -/* (l*(l+1)/2./_PI_)*noise[l][2]*pow(th.Tcmb*1.e6,2)); */ -/* } */ - - for (i=0; i0.1) { - fprintf(stderr,"parameter=%e BAD: chi2=%2g \n", - parameter[i],chi2); - } - else { - fprintf(stderr,"parameter=%e OK : chi2=%e \n", - parameter[i],chi2); - } - } - - return _SUCCESS_; - -} - - -int class( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct lensing *ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg) { - - int l; - double ** junk1; - double ** junk2; - - if (background_init(ppr,pba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - if (thermodynamics_init(ppr,pba,pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (perturb_init(ppr,pba,pth,ppt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (bessel_init(ppr,pbs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",pbs->error_message); - return _FAILURE_; - } - - if (transfer_init(ppr,pba,pth,ppt,pbs,ptr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (primordial_init(ppr,ppt,ppm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (spectra_init(pba,ppt,ptr,ppm,psp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (lensing_init(ppr,ppt,psp,pnl,ple) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - for (l=2; l <= l_max; l++) { - - if (output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]) == _FAILURE_) { - printf("\n\nError in spectra_cl_at_l \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - } - - /****** done ******/ - - if (spectra_free(psp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (primordial_free(ppm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (transfer_free(ptr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (bessel_free(pbs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",pbs->error_message); - return _FAILURE_; - } - - if (perturb_free(ppt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (thermodynamics_free(pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (background_free(pba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} - -int class_assuming_bessels_computed( - struct precision * ppr, - struct background * pba, - struct thermo * pth, - struct perturbs * ppt, - struct bessels * pbs, - struct transfers * ptr, - struct primordial * ppm, - struct spectra * psp, - struct lensing * ple, - struct output * pop, - int l_max, - double ** cl, - ErrorMsg errmsg) { - - int l; - double ** junk1; - double ** junk2; - - if (background_init(ppr,pba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - if (thermodynamics_init(ppr,pba,pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (perturb_init(ppr,pba,pth,ppt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (transfer_init(ppr,pba,pth,ppt,pbs,ptr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (primordial_init(ppr,ppt,ppm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (spectra_init(pba,ppt,ptr,ppm,psp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (lensing_init(ppr,ppt,psp,pnl,ple) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - for (l=2; l <= l_max; l++) { - - if (output_total_cl_at_l(psp,ple,pop,(double)l,cl[l]) == _FAILURE_) { - printf("\n\nError in spectra_cl_at_l \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - } - - /****** done ******/ - - if (lensing_free(ple) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",ple->error_message); - return _FAILURE_; - } - - if (spectra_free(psp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",psp->error_message); - return _FAILURE_; - } - - if (primordial_free(ppm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",ppm->error_message); - return _FAILURE_; - } - - if (transfer_free(ptr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",ptr->error_message); - return _FAILURE_; - } - - if (perturb_free(ppt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",ppt->error_message); - return _FAILURE_; - } - - if (thermodynamics_free(pth) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",pth->error_message); - return _FAILURE_; - } - - if (background_free(pba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",pba->error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} - -int chi2_simple( - struct spectra * psp, - double ** cl1, - double ** cl2, - int lmax, - double * chi2) { - - int l; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - *chi2 += - pow(((cl1[l][psp->index_ct_tt]-cl2[l][psp->index_ct_tt]) - /cl2[l][psp->index_ct_tt]),2) + - pow(((cl1[l][psp->index_ct_te]-cl2[l][psp->index_ct_te]) - /cl2[l][psp->index_ct_te]),2) + - pow(((cl1[l][psp->index_ct_ee]-cl2[l][psp->index_ct_ee]) - /cl2[l][psp->index_ct_ee]),2); - } - - return _SUCCESS_; - -} - -int chi2_planck( - struct spectra * psp, - double ** cl1, /* treated as 'theoretical spectrum' */ - double ** cl2, /* treated as 'observed spectrum' */ - double ** nl, - int lmax, - double * chi2) { - - int l; - double fsky=0.8; - double clTT_th,clEE_th,clTE_th; - double clTT_obs,clEE_obs,clTE_obs; - double det_mixed,det_th,det_obs; - double factor; - - *chi2=0.; - for (l=2; l <= lmax; l++) { - -/* if (psp->ct_size == 1) { */ - if (0==1) { - - *chi2 += fsky*(2.*l+1.)*((cl2[l][0]+nl[l][0])/ - (cl1[l][0]+nl[l][0])+ - log((cl1[l][0]+nl[l][0])/(cl2[l][0]+nl[l][0]))-1.); - -/* *chi2 += fsky*(2.*l+1.)*((cl2[l][0])/ */ -/* (cl1[l][0])+ */ -/* log((cl1[l][0])/(cl2[l][0]))-1.); */ - - -/* factor=l*(l+1.)/2./_PI_; */ -/* printf("%d %e %e %e\n",l,factor*cl1[l][0],factor*cl2[l][0],factor*nl[l][0]); */ - - } - else { - - clTT_th = cl1[l][psp->index_ct_tt]+nl[l][psp->index_ct_tt]; - clEE_th = cl1[l][psp->index_ct_ee]+nl[l][psp->index_ct_ee]; - clTE_th = cl1[l][psp->index_ct_te]; - - clTT_obs = cl2[l][psp->index_ct_tt]+nl[l][psp->index_ct_tt]; - clEE_obs = cl2[l][psp->index_ct_ee]+nl[l][psp->index_ct_ee]; - clTE_obs = cl2[l][psp->index_ct_te]; - - det_mixed = 0.5*(clTT_th*clEE_obs+clTT_obs*clEE_th)-clTE_th*clTE_obs; - - det_th = clTT_th*clEE_th-clTE_th*clTE_th; - - det_obs = clTT_obs*clEE_obs-clTE_obs*clTE_obs; - - *chi2 += fsky*(2.*l+1.)*(2.*(det_mixed/det_th-1.)+log(det_th/det_obs)); - } - } - - return _SUCCESS_; - -} - -int noise_planck( - struct background * pba, - struct thermo * pth, - struct spectra * psp, - double ** nl, - int lmax - ) { - - int num_channel,channel,l; - double * theta, * deltaT, * deltaP; - - num_channel=3; - - theta=malloc(num_channel*sizeof(double)); - deltaT=malloc(num_channel*sizeof(double)); - deltaP=malloc(num_channel*sizeof(double)); - - /* 100 GHz*/ - theta[0]=9.5/3437.75; /* converted from arcmin to radian */ - deltaT[0]=(6.8e-6/pba->Tcmb); /* converted from K to dimensionless */ - deltaP[0]=(10.9e-6/pba->Tcmb); /* converted from K to dimensionless */ - - /* 143 GHz*/ - theta[1]=7.1/3437.75; - deltaT[1]=(6.0e-6/pba->Tcmb); - deltaP[1]=(11.4e-6/pba->Tcmb); - - /* 217 GHz*/ - theta[2]=5.0/3437.75; - deltaT[2]=(13.1e-6/pba->Tcmb); - deltaP[2]=(26.7e-6/pba->Tcmb); - - for (l=2; l<=lmax; l++) { - - for (channel=0; channelhas_tt) { - nl[l][psp->index_ct_tt] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaT[channel]),2); - } - if (psp->has_ee) { - nl[l][psp->index_ct_ee] += - pow((exp(-l*(l+1.)*theta[channel]*theta[channel]/16./log(2.)) - /theta[channel]/deltaP[channel]),2); - } - } - - if (psp->has_tt) { - nl[l][psp->index_ct_tt] = 1./nl[l][psp->index_ct_tt]; - } - if (psp->has_ee) { - nl[l][psp->index_ct_ee] = 1./nl[l][psp->index_ct_ee]; - } - } - - free(theta); - free(deltaT); - free(deltaP); - - return _SUCCESS_; - -} diff --git a/test/test_pbc.c b/test/test_pbc.c deleted file mode 100755 index ae439e98..00000000 --- a/test/test_pbc.c +++ /dev/null @@ -1,196 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 20.04.2010 - */ - -#include "class.h" - -int main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct lensing le; /* for lensing spectra */ - struct output op; /* for output files */ - struct spectra_nl nl; /* for calculation of non-linear spectra */ - ErrorMsg errmsg; - - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&le,&op,&nl,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); - return _FAILURE_; - } - - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(&pr,&ba,&th,&pt,&bs,&tr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (spectra_init(&ba,&pt,&tr,&pm,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (output_init(&ba,&pt,&sp,&op) == _FAILURE_) { - printf("\n\nError in output_init \n=>%s\n",op.error_message); - return _FAILURE_; - } - - /****** done ******/ - - int index_mode=0; - int index_eta; - int index_ic=0; - int index_k; - double delta_rho_bc,rho_bc; - double delta_i,rho_i; - double P_bc; - int last_index_back; - double * pvecback_long; - double k,pk; - FILE * output; - double z,eta; - double * tki; - - if(pt.has_matter_transfers == _FALSE_) { - printf("You need to switch on mTk calculation for this code\n"); - return _FAILURE_; - } - - output=fopen("output/Pcb.dat","w"); - - class_alloc(pvecback_long,sizeof(double)*ba.bg_size,errmsg); - class_alloc(tki,sizeof(double)*sp.ln_k_size*sp.tr_size,errmsg); - - z=0.; - - if(background_eta_of_z(&ba,z,&eta) == _FAILURE_) { - printf("\n\nError running background_eta_of_z \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if(background_at_eta(&ba, - eta, - long_info, - normal, - &last_index_back, - pvecback_long) == _FAILURE_) { - printf("\n\nError running background_at_eta \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (spectra_tk_at_z(&ba,&sp,z,tki) == _FAILURE_) { - printf("\n\nError in spectra_tk_at_z \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - for (index_k=0; index_k%s\n",pm.error_message); - return _FAILURE_; - } - - P_bc=pk*pow(delta_rho_bc/rho_bc,2)*2.*_PI_*_PI_/k/k/k; - - fprintf(output,"%e %e\n",k,P_bc); - - } - - /******************/ - - if (spectra_free(&sp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (primordial_free(&pm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (transfer_free(&tr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} diff --git a/test/test_perturbations.c b/test/test_perturbations.c old mode 100755 new mode 100644 index 3ea594ea..f91059fd --- a/test/test_perturbations.c +++ b/test/test_perturbations.c @@ -10,17 +10,18 @@ int main(int argc, char **argv) { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error messages */ - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); return _FAILURE_; } @@ -35,8 +36,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); + if (perturbations_init(&pr,&ba,&th,&pt) == _FAILURE_) { + printf("\n\nError in perturbations_init \n=>%s\n",pt.error_message); return _FAILURE_; } @@ -81,8 +82,8 @@ int main(int argc, char **argv) { /****** all calculations done, now free the structures ******/ - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); + if (perturbations_free(&pt) == _FAILURE_) { + printf("\n\nError in perturbations_free \n=>%s\n",pt.error_message); return _FAILURE_; } diff --git a/test/test_spectra.c b/test/test_spectra.c deleted file mode 100755 index 43b9c77a..00000000 --- a/test/test_spectra.c +++ /dev/null @@ -1,163 +0,0 @@ -/** @file test_spectra.c - * - * Julien Lesgourgues, 26.08.2010 - * - * main intended for computing power spectra, not using the output module. - * - */ - -#include "class.h" - -main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct output op; /* for output files */ - struct spectra_nl nl; /* for calculation of non-linear spectra */ - - ErrorMsg errmsg; - - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&op,&nl,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); - return _FAILURE_; - } - - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(&pr,&ba,&th,&pt,&bs,&tr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (spectra_init(&ba,&pt,&tr,&pm,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - FILE * output; - int index_mode=0; - - /****** output Cls ******/ - - int index_ic1_ic2=0; - int index_ct=0; - int index_l; - - if (pt.has_cmb == _TRUE_) { - - output=fopen("output/testing_cls.dat","w"); - - for (index_l=0; index_l < sp.l_size[index_mode]; index_l++) - fprintf(output,"%g %g\n", - sp.l[index_mode][index_l], - sp.cl[index_mode][(index_l * sp.ic_ic_size[index_mode] + index_ic1_ic2) * sp.ct_size + index_ct]); - - fclose(output); - - } - - /****** output P(k) ******/ - - int index_eta = sp.ln_eta_size-1; - int index_k; - double pk; - double junk; - - if (pt.has_pk_matter == _TRUE_) { - - output=fopen("output/testing_pks.dat","w"); - - for (index_k=0; index_k < sp.ln_k_size; index_k++) - fprintf(output,"%g %g\n", - sp.ln_k[index_k], - sp.ln_pk[(index_eta * sp.ln_k_size + index_k) * sp.ic_ic_size[index_mode] + index_ic1_ic2]); - - fclose(output); - - } - - /****** output T_i(k) ******/ - - int index_ic=0; - int index_tr; - double * tk; - double * tkk; - - if (pt.has_matter_transfers == _TRUE_) { - - output=fopen("output/testing_tks.dat","w"); - - for (index_k=0; index_k < sp.ln_k_size; index_k++) { - fprintf(output,"%g",sp.ln_k[index_k]); - for (index_tr=0; index_tr < sp.tr_size; index_tr++) { - fprintf(output," %g", - sp.matter_transfer[((index_eta * sp.ln_k_size + index_k) * sp.ic_size[index_mode] + index_ic) * sp.tr_size + index_tr]); - } - fprintf(output,"\n"); - } - } - - - - /****************************/ - - if (primordial_free(&pm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (transfer_free(&tr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - -} diff --git a/test/test_thermodynamics.c b/test/test_thermodynamics.c old mode 100755 new mode 100644 index 4b4ee25d..8b4c7569 --- a/test/test_thermodynamics.c +++ b/test/test_thermodynamics.c @@ -1,7 +1,7 @@ -/** @file class.c - * Julien Lesgourgues, 17.04.2011 +/** @file class.c + * Julien Lesgourgues, 17.04.2011 */ - + /* th main runs only the background and thermodynamics parts */ #include "class.h" @@ -10,18 +10,19 @@ int main(int argc, char **argv) { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ struct lensing le; /* for lensed sepctra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error message */ - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { + printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); return _FAILURE_; } @@ -38,7 +39,7 @@ int main(int argc, char **argv) { /********************************************/ /***** output thermodynamics quantities *****/ /********************************************/ - + int i; double tau; double z; @@ -92,12 +93,10 @@ int main(int argc, char **argv) { for (z = th.z_table[th.tt_size-1]; z < 1000*th.z_table[th.tt_size-1]; z *= 2.) { - background_tau_of_z(&ba,z,&tau); - - background_at_tau(&ba,tau,ba.normal_info,ba.inter_normal,&last_index,pvecback); + background_at_z(&ba,z,normal_info,inter_normal,&last_index,pvecback); + + thermodynamics_at_z(&ba,&th,z,inter_normal,&last_index,pvecback,pvecthermo); - thermodynamics_at_z(&ba,&th,z,th.inter_normal,&last_index,pvecback,pvecthermo); - printf("%.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e %.10e\n", z, tau, @@ -114,7 +113,7 @@ int main(int argc, char **argv) { pvecthermo[th.index_th_tau_d], pvecthermo[th.index_th_rate] ); - + } /****** all calculations done, now free the structures ******/ diff --git a/test/test_timing.c b/test/test_timing.c deleted file mode 100755 index 4e8d6739..00000000 --- a/test/test_timing.c +++ /dev/null @@ -1,155 +0,0 @@ -/** @file class.c - * Julien Lesgourgues, 20.04.2010 - */ - -#include "class.h" -#include - -int main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ - struct lensing le; /* for lensed spectra */ - struct output op; /* for output files */ - ErrorMsg errmsg; - - double start_perturb, end_perturb; - double cpu_time_perturb; - double start_other, end_other; - double cpu_time_other; - double start_lensing, end_lensing; - double cpu_time_lensing; - - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); - return _FAILURE_; - } - - start_other = omp_get_wtime(); - - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - start_perturb = omp_get_wtime(); - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - end_perturb = omp_get_wtime(); - - cpu_time_perturb = (end_perturb-start_perturb); - - printf("time in perturb=%4.3f s\n",cpu_time_perturb); - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(&pr,&ba,&th,&pt,&bs,&tr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { - printf("\n\nError in primordial_init \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (spectra_init(&pr,&ba,&pt,&tr,&pm,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (nonlinear_init(&pr,&ba,&th,&pm,&sp,&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - end_other = omp_get_wtime(); - start_lensing = end_other; - - if (lensing_init(&pr,&pt,&sp,&nl,&le) == _FAILURE_) { - printf("\n\nError in lensing_init \n=>%s\n",le.error_message); - return _FAILURE_; - } - - end_lensing = omp_get_wtime(); - - cpu_time_other = (end_other-start_other); - cpu_time_lensing = (end_lensing-start_lensing); - printf("time in other = %4.3f s\n",cpu_time_other); - printf("time in lensing = %4.3f s\n",cpu_time_lensing); - - - if (output_init(&ba,&pt,&sp,&nl,&le,&op) == _FAILURE_) { - printf("\n\nError in output_init \n=>%s\n",op.error_message); - return _FAILURE_; - } - - /****** done ******/ - - if (lensing_free(&le) == _FAILURE_) { - printf("\n\nError in lensing_free \n=>%s\n",le.error_message); - return _FAILURE_; - } - - if (nonlinear_free(&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - if (spectra_free(&sp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (primordial_free(&pm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (transfer_free(&tr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} diff --git a/test/test_transfer.c b/test/test_transfer.c old mode 100755 new mode 100644 index d3804aa7..04892d8c --- a/test/test_transfer.c +++ b/test/test_transfer.c @@ -10,17 +10,18 @@ int main(int argc, char **argv) { struct precision pr; /* for precision parameters */ struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct transfers tr; /* for transfer functions */ + struct thermodynamics th; /* for thermodynamics */ + struct perturbations pt; /* for source functions */ + struct transfer tr; /* for transfer functions */ struct primordial pm; /* for primordial spectra */ - struct spectra sp; /* for output spectra */ - struct nonlinear nl; /* for non-linear spectra */ + struct harmonic hr; /* for output spectra */ + struct fourier fo; /* for non-linear spectra */ struct lensing le; /* for lensed spectra */ + struct distortions sd; /* for spectral distortions */ struct output op; /* for output files */ ErrorMsg errmsg; /* for error messages */ - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&sp,&nl,&le,&op,errmsg) == _FAILURE_) { + if (input_init(argc, argv,&pr,&ba,&th,&pt,&tr,&pm,&hr,&fo,&le,&sd,&op,errmsg) == _FAILURE_) { printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); return _FAILURE_; } @@ -35,8 +36,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); + if (perturbations_init(&pr,&ba,&th,&pt) == _FAILURE_) { + printf("\n\nError in perturbations_init \n=>%s\n",pt.error_message); return _FAILURE_; } @@ -45,12 +46,12 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (nonlinear_init(&pr,&ba,&th,&pt,&pm,&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_init \n=>%s\n",nl.error_message); + if (fourier_init(&pr,&ba,&th,&pt,&pm,&fo) == _FAILURE_) { + printf("\n\nError in fourier_init \n=>%s\n",fo.error_message); return _FAILURE_; } - if (transfer_init(&pr,&ba,&th,&pt,&nl,&tr) == _FAILURE_) { + if (transfer_init(&pr,&ba,&th,&pt,&fo,&tr) == _FAILURE_) { printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); return _FAILURE_; } @@ -140,8 +141,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (nonlinear_free(&nl) == _FAILURE_) { - printf("\n\nError in nonlinear_free \n=>%s\n",nl.error_message); + if (fourier_free(&fo) == _FAILURE_) { + printf("\n\nError in fourier_free \n=>%s\n",fo.error_message); return _FAILURE_; } @@ -150,8 +151,8 @@ int main(int argc, char **argv) { return _FAILURE_; } - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); + if (perturbations_free(&pt) == _FAILURE_) { + printf("\n\nError in perturbations_free \n=>%s\n",pt.error_message); return _FAILURE_; } diff --git a/test/test_trg.c b/test/test_trg.c deleted file mode 100755 index b55495ac..00000000 --- a/test/test_trg.c +++ /dev/null @@ -1,122 +0,0 @@ -/** @file test_trg.c - * - */ - -#include "precision.h" -#include "background.h" -#include "thermodynamics.h" -#include "perturbations.h" -#include "bessel.h" -#include "transfer.h" -#include "primordial.h" -#include "spectra.h" -#include "output.h" -#include "trg.h" - -main(int argc, char **argv) { - - struct precision pr; /* for precision parameters */ - struct background ba; /* for cosmological background */ - struct thermo th; /* for thermodynamics */ - struct perturbs pt; /* for source functions */ - struct bessels bs; /* for bessel functions */ - struct transfers tr; /* for transfer functions */ - struct primordial pm; /* for primordial spectra */ - struct output op; - struct lensing le; - struct spectra sp; /* for output spectra */ - struct spectra_nl nl; /* for calculation of non-linear spectra */ - - ErrorMsg errmsg; - - if (input_init_from_arguments(argc, argv,&pr,&ba,&th,&pt,&bs,&tr,&pm,&sp,&le,&op,&nl,errmsg) == _FAILURE_) { - printf("\n\nError running input_init_from_arguments \n=>%s\n",errmsg); - return _FAILURE_; - } - - if (background_init(&pr,&ba) == _FAILURE_) { - printf("\n\nError running background_init \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - if (thermodynamics_init(&pr,&ba,&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_init \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (perturb_init(&pr,&ba,&th,&pt) == _FAILURE_) { - printf("\n\nError in perturb_init \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (bessel_init(&pr,&bs) == _FAILURE_) { - printf("\n\nError in bessel_init \n =>%s\n",bs.error_message); - return _FAILURE_; - } - - if (transfer_init(&pr,&ba,&th,&pt,&bs,&tr) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (primordial_init(&pr,&pt,&pm) == _FAILURE_) { - printf("\n\nError in transfer_init \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (spectra_init(&ba,&pt,&tr,&pm,&sp) == _FAILURE_) { - printf("\n\nError in spectra_init \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (trg_init(&pr,&ba,&th,&pm,&sp,&nl) == _FAILURE_) { - printf("\n\nError in trg_init \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - /****** done ******/ - - - if (trg_free(&nl) == _FAILURE_) { - printf("\n\nError in trg_free \n=>%s\n",nl.error_message); - return _FAILURE_; - } - - if (spectra_free(&sp) == _FAILURE_) { - printf("\n\nError in spectra_free \n=>%s\n",sp.error_message); - return _FAILURE_; - } - - if (primordial_free(&pm) == _FAILURE_) { - printf("\n\nError in primordial_free \n=>%s\n",pm.error_message); - return _FAILURE_; - } - - if (transfer_free(&tr) == _FAILURE_) { - printf("\n\nError in transfer_free \n=>%s\n",tr.error_message); - return _FAILURE_; - } - - if (bessel_free(&bs) == _FAILURE_) { - printf("\n\nError in bessel_free \n=>%s\n",bs.error_message); - return _FAILURE_; - } - - if (perturb_free(&pt) == _FAILURE_) { - printf("\n\nError in perturb_free \n=>%s\n",pt.error_message); - return _FAILURE_; - } - - if (thermodynamics_free(&th) == _FAILURE_) { - printf("\n\nError in thermodynamics_free \n=>%s\n",th.error_message); - return _FAILURE_; - } - - if (background_free(&ba) == _FAILURE_) { - printf("\n\nError in background_free \n=>%s\n",ba.error_message); - return _FAILURE_; - } - - return _SUCCESS_; - -} diff --git a/tools/arrays.c b/tools/arrays.c old mode 100755 new mode 100644 index 67d97c13..41f97575 --- a/tools/arrays.c +++ b/tools/arrays.c @@ -4,9 +4,10 @@ */ #include "arrays.h" +#include "parallel.h" /** - * Called by thermodynamics_init(); perturb_sources(). + * Called by thermodynamics_init(); perturbations_sources(). */ int array_derive( double * array, @@ -79,7 +80,7 @@ int array_derive_spline( h = x_array[i+1] - x_array[i]; if (h == 0) { - sprintf(errmsg,"%s(L:%d) h=0, stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) h=0, stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -132,7 +133,7 @@ int array_derive_spline_table_line_to_line( h = x_array[i+1] - x_array[i]; if (h == 0) { - sprintf(errmsg,"%s(L:%d) h=0, stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) h=0, stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -164,7 +165,7 @@ int array_derive1_order2_table_line_to_line( double dxp,dxm,dyp,dym; if (n_lines < 2) { - sprintf(errmsg,"%s(L:%d) routine called with n_lines=%d, should be at least 2",__func__,__LINE__,n_lines); + class_sprintf(errmsg,"%s(L:%d) routine called with n_lines=%d, should be at least 2",__func__,__LINE__,n_lines); return _FAILURE_; } @@ -174,7 +175,7 @@ int array_derive1_order2_table_line_to_line( dym = *(array+0*n_columns+index_y) - *(array+1*n_columns+index_y); if ((dxp*dxm*(dxm-dxp)) == 0.) { - sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -191,7 +192,7 @@ int array_derive1_order2_table_line_to_line( dym = *(array+(i-1)*n_columns+index_y) - *(array+i*n_columns+index_y); if ((dxp*dxm*(dxm-dxp)) == 0.) { - sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -227,7 +228,7 @@ int array_derive2_order2_table_line_to_line( dym = *(array+(i-1)*n_columns+index_y) - *(array+i*n_columns+index_y); if ((dxp*dxm*(dxm-dxp)) == 0.) { - sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -296,7 +297,7 @@ int array_derive_two( double dx1,dx2,dy1,dy2,weight1,weight2; if ((index_dydx == index_x) || (index_dydx == index_y)) { - sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d and %d",__func__,__LINE__,index_dydx,index_x,index_y); + class_sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d and %d",__func__,__LINE__,index_dydx,index_x,index_y); return _FAILURE_; } @@ -313,7 +314,7 @@ int array_derive_two( weight2 = dx1*dx1; if ((dx1 == 0.) && (dx2 == 0.)) { - sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) stop to avoid division by zero",__func__,__LINE__); return _FAILURE_; } @@ -351,13 +352,13 @@ int array_spline( double dy_last; if (n_lines < 3) { - sprintf(errmsg,"%s(L:%d) n_lines=%d, while routine needs n_lines >= 3",__func__,__LINE__,n_lines); + class_sprintf(errmsg,"%s(L:%d) n_lines=%d, while routine needs n_lines >= 3",__func__,__LINE__,n_lines); return _FAILURE_; } - u = malloc((n_lines-1) * sizeof(double)); + u = (double*)malloc((n_lines-1) * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } @@ -386,7 +387,7 @@ int array_spline( -dy_first); } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -432,7 +433,7 @@ int array_spline( (*(array+(n_lines-1)*n_columns+index_x) - *(array+(n_lines-2)*n_columns+index_x))); } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -465,9 +466,13 @@ int array_spline_table_line_to_line( double dy_first; double dy_last; - u = malloc((n_lines-1) * sizeof(double)); + class_test(n_lines<3, + errmsg, + "no possible spline with less than three lines"); + + u = (double*)malloc((n_lines-1) * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } @@ -489,7 +494,7 @@ int array_spline_table_line_to_line( (x[1] - x[0])-dy_first); } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -529,7 +534,7 @@ int array_spline_table_line_to_line( (x[n_lines-1] - x[n_lines-2])); } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -567,31 +572,30 @@ int array_spline_table_lines( double dy_first; double dy_last; - u = malloc((x_size-1) * y_size * sizeof(double)); - p = malloc(y_size * sizeof(double)); - qn = malloc(y_size * sizeof(double)); - un = malloc(y_size * sizeof(double)); + u = (double*)malloc((x_size-1) * y_size * sizeof(double)); + p = (double*)malloc(y_size * sizeof(double)); + qn = (double*)malloc(y_size * sizeof(double)); + un = (double*)malloc(y_size * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } if (p == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); return _FAILURE_; } if (qn == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); return _FAILURE_; } if (un == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); return _FAILURE_; } if (x_size==2) spline_mode = _SPLINE_NATURAL_; // in the case of only 2 x-values, only the natural spline method is appropriate, for _SPLINE_EST_DERIV_ at least 3 x-values are needed. - index_x=0; if (spline_mode == _SPLINE_NATURAL_) { @@ -621,7 +625,7 @@ int array_spline_table_lines( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -679,7 +683,7 @@ int array_spline_table_lines( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -783,9 +787,9 @@ int array_derivate_spline( (-(3.*a*a-1.)* *(array_splined+inf*n_columns+i) + (3.*b*b-1.)* *(array_splined+sup*n_columns+i))*h/6.; - return _SUCCESS_; -} - + return _SUCCESS_; +} + int array_logspline_table_lines( double * x, /* vector of size x_size */ int x_size, @@ -807,30 +811,29 @@ int array_logspline_table_lines( double dy_first; double dy_last; - u = malloc((x_size-1) * y_size * sizeof(double)); - p = malloc(y_size * sizeof(double)); - qn = malloc(y_size * sizeof(double)); - un = malloc(y_size * sizeof(double)); + u = (double*)malloc((x_size-1) * y_size * sizeof(double)); + p = (double*)malloc(y_size * sizeof(double)); + qn = (double*)malloc(y_size * sizeof(double)); + un = (double*)malloc(y_size * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } if (p == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); return _FAILURE_; } if (qn == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); return _FAILURE_; } if (un == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); return _FAILURE_; } if (x_size==2) spline_mode = _SPLINE_NATURAL_; // in the case of only 2 x-values, only the natural spline method is appropriate, for _SPLINE_EST_DERIV_ at least 3 x-values are needed. - index_x=0; if (spline_mode == _SPLINE_NATURAL_) { @@ -860,7 +863,7 @@ int array_logspline_table_lines( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -918,7 +921,7 @@ int array_logspline_table_lines( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -970,24 +973,24 @@ int array_spline_table_columns( double dy_first; double dy_last; - u = malloc((x_size-1) * y_size * sizeof(double)); - p = malloc(y_size * sizeof(double)); - qn = malloc(y_size * sizeof(double)); - un = malloc(y_size * sizeof(double)); + u = (double*)malloc((x_size-1) * y_size * sizeof(double)); + p = (double*)malloc(y_size * sizeof(double)); + qn = (double*)malloc(y_size * sizeof(double)); + un = (double*)malloc(y_size * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } if (p == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); return _FAILURE_; } if (qn == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); return _FAILURE_; } if (un == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); return _FAILURE_; } @@ -1033,7 +1036,7 @@ int array_spline_table_columns( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1090,7 +1093,7 @@ int array_spline_table_columns( } } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1135,44 +1138,42 @@ int array_spline_table_columns2( double * qn; double * un; double * u; - double sig; - int index_x; + int index_y; - double dy_first; - double dy_last; - u = malloc((x_size-1) * y_size * sizeof(double)); - p = malloc(y_size * sizeof(double)); - qn = malloc(y_size * sizeof(double)); - un = malloc(y_size * sizeof(double)); + u = (double*)malloc((x_size-1) * y_size * sizeof(double)); + p = (double*)malloc(y_size * sizeof(double)); + qn = (double*)malloc(y_size * sizeof(double)); + un = (double*)malloc(y_size * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } if (p == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate p",__func__,__LINE__); return _FAILURE_; } if (qn == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate qn",__func__,__LINE__); return _FAILURE_; } if (un == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate un",__func__,__LINE__); return _FAILURE_; } - if (x_size==2) spline_mode = _SPLINE_NATURAL_; // in the case of only 2 x-values, only the natural spline method is appropriate, for _SPLINE_EST_DERIV_ at least 3 x-values are needed. + if (x_size==2) spline_mode = _SPLINE_NATURAL_; // in the case of only 2 x-values, only the natural spline method is appropriate, for _SPLINE_EST_DERIV_ 3 x-values are needed. -#pragma omp parallel \ - shared(x,x_size,y_array,y_size,ddy_array,spline_mode,p,qn,un,u) \ - private(index_y,index_x,sig,dy_first,dy_last) - { + class_setup_parallel(); -#pragma omp for schedule (dynamic) + for (index_y=0; index_y < y_size; index_y++) { - for (index_y=0; index_y < y_size; index_y++) { + class_run_parallel(=, + double dy_first; + double dy_last; + int index_x; + double sig; if (spline_mode == _SPLINE_NATURAL_) { ddy_array[index_y*x_size+0] = 0.0; u[0*y_size+index_y] = 0.0; @@ -1249,8 +1250,12 @@ int array_spline_table_columns2( ddy_array[index_y*x_size+(index_x+1)] + u[index_x*y_size+index_y]; } - } + return _SUCCESS_; + ); } + + class_finish_parallel(); + free(qn); free(p); free(u); @@ -1280,9 +1285,9 @@ int array_spline_table_one_column( double dy_first; double dy_last; - u = malloc((x_size-1) * sizeof(double)); + u = (double*)malloc((x_size-1) * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } @@ -1315,7 +1320,7 @@ int array_spline_table_one_column( } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1368,7 +1373,7 @@ int array_spline_table_one_column( } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1415,9 +1420,9 @@ int array_logspline_table_one_column( double dy_first; double dy_last; - u = malloc((x_stop-1) * sizeof(double)); + u = (double*)malloc((x_stop-1) * sizeof(double)); if (u == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate u",__func__,__LINE__); return _FAILURE_; } @@ -1450,7 +1455,7 @@ int array_logspline_table_one_column( } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1504,7 +1509,7 @@ int array_logspline_table_one_column( } else { - sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); + class_sprintf(errmsg,"%s(L:%d) Spline mode not identified: %d",__func__,__LINE__,spline_mode); return _FAILURE_; } } @@ -1557,6 +1562,34 @@ int array_integrate_all_spline( return _SUCCESS_; } +int array_integrate_all_spline_table_line_to_line( + double * x_array, + int n_lines, + double * array, + int n_columns, + int index_y, + int index_ddy, + double * result, + ErrorMsg errmsg){ + + int i; + double h; + + *result = 0; + + for (i=0; i < n_lines-1; i++) { + + h = (x_array[i+1]-x_array[i]); + + *result += + (array[i*n_columns+index_y]+array[(i+1)*n_columns+index_y])*h/2.+ + (array[i*n_columns+index_ddy]+array[(i+1)*n_columns+index_ddy])*h*h*h/24.; + + } + + return _SUCCESS_; +} + int array_integrate_all_trapzd_or_spline( double * array, int n_columns, @@ -1572,7 +1605,7 @@ int array_integrate_all_trapzd_or_spline( double h; if ((index_start_spline<0) || (index_start_spline>=n_lines)) { - sprintf(errmsg,"%s(L:%d) index_start_spline outside of range",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) index_start_spline outside of range",__func__,__LINE__); return _FAILURE_; } @@ -1620,7 +1653,7 @@ int array_integrate( double sum; if ((index_int_y_dx == index_x) || (index_int_y_dx == index_y)) { - sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d and %d",__func__,__LINE__,index_int_y_dx,index_x,index_y); + class_sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d and %d",__func__,__LINE__,index_int_y_dx,index_x,index_y); return _FAILURE_; } @@ -1656,7 +1689,7 @@ int array_integrate_ratio( double sum; if ((index_int_y1_over_y2_dx == index_x) || (index_int_y1_over_y2_dx == index_y1) || (index_int_y1_over_y2_dx == index_y2)) { - sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d, %d and %d",__func__,__LINE__,index_int_y1_over_y2_dx,index_x,index_y1,index_y2); + class_sprintf(errmsg,"%s(L:%d) : Output column %d must differ from input columns %d, %d and %d",__func__,__LINE__,index_int_y1_over_y2_dx,index_x,index_y1,index_y2); return _FAILURE_; } @@ -1702,12 +1735,12 @@ int array_interpolate( if (*(array+inf*n_columns+index_x) < *(array+sup*n_columns+index_x)){ if (x < *(array+inf*n_columns+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array+inf*n_columns+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array+inf*n_columns+index_x)); return _FAILURE_; } if (x > *(array+sup*n_columns+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array+sup*n_columns+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array+sup*n_columns+index_x)); return _FAILURE_; } @@ -1724,12 +1757,12 @@ int array_interpolate( else { if (x < *(array+sup*n_columns+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array+sup*n_columns+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array+sup*n_columns+index_x)); return _FAILURE_; } if (x > *(array+inf*n_columns+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array+inf*n_columns+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array+inf*n_columns+index_x)); return _FAILURE_; } @@ -1756,6 +1789,85 @@ int array_interpolate( return _SUCCESS_; } + + /** + * interpolate to get y(x), when x_i,y_i and ddy_i are all columns of the same array + * + * Called by background_at_eta(); background_eta_of_z(); background_solve(); thermodynamics_at_z(). + */ +int array_interpolate_spline_transposed(double * array, + int x_size, + int y_size, + int index_x, + int index_y, + int index_ddy, + double x, + int * last_index, + double * result, + ErrorMsg errmsg) { + + int inf,sup,mid; + double h,a,b; + + inf=0; + sup=x_size-1; + + if (array[inf*y_size+index_x] < array[sup*y_size+index_x]){ + + if (x < array[inf*y_size+index_x]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array[inf*y_size+index_x]); + return _FAILURE_; + } + + if (x > array[sup*y_size+index_x]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array[sup*y_size+index_x]); + return _FAILURE_; + } + + while (sup-inf > 1) { + + mid=(int)(0.5*(inf+sup)); + if (x < array[mid*y_size+index_x]) {sup=mid;} + else {inf=mid;} + + } + + } + + else { + + if (x < array[sup*y_size+index_x]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array[sup*y_size+index_x]); + return _FAILURE_; + } + + if (x > array[inf*y_size+index_x]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array[inf*y_size+index_x]); + return _FAILURE_; + } + + while (sup-inf > 1) { + + mid=(int)(0.5*(inf+sup)); + if (x > array[mid*y_size+index_x]) {sup=mid;} + else {inf=mid;} + + } + + } + + *last_index = inf; + + h = array[sup*y_size+index_x]-array[inf*y_size+index_x]; + b = (x - array[inf*y_size+index_x])/h; + a = 1.0 - b; + + *result= (a*array[inf*y_size+index_y]+b*array[sup*y_size+index_y] + + ((a*a*a-a)* array[inf*y_size+index_ddy] + (b*b*b-b)* array[sup*y_size+index_ddy])*h*h/6.); + + return _SUCCESS_; +} + /** * interpolate to get y_i(x), when x and y_i are in different arrays * @@ -1782,12 +1894,12 @@ int array_interpolate_spline( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -1804,12 +1916,12 @@ int array_interpolate_spline( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -1839,6 +1951,72 @@ int array_interpolate_spline( return _SUCCESS_; } + /** + * Get the y[i] for which y[i]>c + * + * Called by fourier_HMcode() + */ +int array_search_bisect( + int n_lines, + double * __restrict__ array, + double c, + int * __restrict__ last_index, + ErrorMsg errmsg) { + + int inf,sup,mid; + + inf=0; + sup=n_lines-1; + + if (array[inf] < array[sup]){ + + if (c < array[inf]) { + class_sprintf(errmsg,"%s(L:%d) : c=%e < y_min=%e",__func__,__LINE__,c,array[inf]); + return _FAILURE_; + } + + if (c > array[sup]) { + class_sprintf(errmsg,"%s(L:%d) : c=%e > y_max=%e",__func__,__LINE__,c,array[sup]); + return _FAILURE_; + } + + while (sup-inf > 1) { + + mid=(int)(0.5*(inf+sup)); + if (c < array[mid]) {sup=mid;} + else {inf=mid;} + + } + + } + + else { + + if (c < array[sup]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,c,array[sup]); + return _FAILURE_; + } + + if (c > array[inf]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,c,array[inf]); + return _FAILURE_; + } + + while (sup-inf > 1) { + + mid=(int)(0.5*(inf+sup)); + if (c > array[mid]) {sup=mid;} + else {inf=mid;} + + } + + } + + *last_index = inf; + + return _SUCCESS_; +} + /** * interpolate to get y_i(x), when x and y_i are in different arrays * @@ -1864,12 +2042,12 @@ int array_interpolate_linear( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -1886,12 +2064,12 @@ int array_interpolate_linear( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -1946,12 +2124,12 @@ int array_interpolate_logspline( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -1968,12 +2146,12 @@ int array_interpolate_logspline( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -2031,12 +2209,12 @@ int array_interpolate_spline_one_column( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -2053,12 +2231,12 @@ int array_interpolate_spline_one_column( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -2131,12 +2309,12 @@ int array_interpolate_extrapolate_spline_one_column( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -2153,12 +2331,12 @@ int array_interpolate_extrapolate_spline_one_column( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -2239,12 +2417,12 @@ int array_interpolate_extrapolate_logspline_loglinear_one_column( if (x_array[inf] < x_array[sup]){ if (x < x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } if (x > x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } @@ -2261,12 +2439,12 @@ int array_interpolate_extrapolate_logspline_loglinear_one_column( else { if (x < x_array[sup]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,x_array[sup]); return _FAILURE_; } if (x > x_array[inf]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,x_array[inf]); return _FAILURE_; } @@ -2319,7 +2497,7 @@ int array_interpolate_growing_closeby( while (x < *(array+inf*n_columns+index_x)) { inf--; if (inf < 0) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, x,array[index_x]); return _FAILURE_; } @@ -2328,7 +2506,7 @@ int array_interpolate_growing_closeby( while (x > *(array+sup*n_columns+index_x)) { sup++; if (sup > (n_lines-1)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, x,array[(n_lines-1)*n_columns+index_x]); return _FAILURE_; } @@ -2373,7 +2551,7 @@ int array_interpolate_one_growing_closeby( while (x < *(array+inf*n_columns+index_x)) { inf--; if (inf < 0) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, x,array[index_x]); return _FAILURE_; } @@ -2382,7 +2560,7 @@ int array_interpolate_one_growing_closeby( while (x > *(array+sup*n_columns+index_x)) { sup++; if (sup > (n_lines-1)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, x,array[(n_lines-1)*n_columns+index_x]); return _FAILURE_; } @@ -2420,11 +2598,11 @@ int array_interpolate_spline_growing_closeby( /* if (*last_index < 0) { - sprintf(errmsg,"%s(L:%d) problem with last_index =%d < 0",__func__,__LINE__,*last_index); + class_sprintf(errmsg,"%s(L:%d) problem with last_index =%d < 0",__func__,__LINE__,*last_index); return _FAILURE_; } if (*last_index > (n_lines-1)) { - sprintf(errmsg,"%s(L:%d) problem with last_index =%d > %d",__func__,__LINE__,*last_index,n_lines-1); + class_sprintf(errmsg,"%s(L:%d) problem with last_index =%d > %d",__func__,__LINE__,*last_index,n_lines-1); return _FAILURE_; } */ @@ -2436,7 +2614,7 @@ int array_interpolate_spline_growing_closeby( while (x < x_array[inf]) { inf--; if (inf < 0) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, x,x_array[0]); return _FAILURE_; } @@ -2445,7 +2623,7 @@ int array_interpolate_spline_growing_closeby( while (x > x_array[sup]) { sup++; if (sup > (n_lines-1)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, x,x_array[n_lines-1]); return _FAILURE_; } @@ -2492,7 +2670,7 @@ int array_interpolate_spline_growing_hunt( if (x >= x_array[*last_index]) { if (x > x_array[n_lines-1]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, x,x_array[n_lines-1]); return _FAILURE_; } @@ -2519,7 +2697,7 @@ int array_interpolate_spline_growing_hunt( } else { if (x < x_array[0]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__, x,x_array[0]); return _FAILURE_; } @@ -2561,10 +2739,99 @@ int array_interpolate_spline_growing_hunt( return _SUCCESS_; } + +// [NS] +/** + * Get the index in the array, and the relative offset, + * but do not yet actually interpolate + */ +int array_spline_hunt(double* x_array, + int x_size, + double x, + int* last, + double* h, + double* a, + double* b, + ErrorMsg errmsg){ + /* Define local quantities */ + int inf,sup,mid,inc; + int last_index = *last; + + /* Error checking */ + if(last_index>=x_size-1){last_index=x_size-2;} + if(last_index<0){last_index=0;} + + /* Hunt ! */ + inc=1; + if (x >= x_array[last_index]) { + if (x > x_array[x_size-1]) { + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__, + x,x_array[x_size-1]); + return _FAILURE_; + } + /* try closest neighboor upward */ + inf = last_index; + sup = inf + inc; + if (x > x_array[sup]) { + /* hunt upward */ + while (x > x_array[sup]) { + inf = sup; + inc += 1; + sup += inc; + if (sup > x_size-1) { + sup = x_size-1; + } + } + /* bisect */ + while (sup-inf > 1) { + mid=(int)(0.5*(inf+sup)); + if (x < x_array[mid]) {sup=mid;} + else {inf=mid;} + } + } + } + else { + if (x < x_array[0]) { + class_sprintf(errmsg,"%s(L:%d) : x=%.20e < x_min=%.20e",__func__,__LINE__, + x,x_array[0]); + return _FAILURE_; + } + /* try closest neighboor downward */ + sup = last_index; + inf = sup - inc; + if (x < x_array[inf]) { + /* hunt downward */ + while (x < x_array[inf]) { + sup = inf; + inc += 1; + inf -= inc; + if (inf < 0) { + inf = 0; + } + } + /* bisect */ + while (sup-inf > 1) { + mid=(int)(0.5*(inf+sup)); + if (x < x_array[mid]) {sup=mid;} + else {inf=mid;} + } + } + } + + /* We have found the prey */ + last_index = inf; + *last = last_index; + *h = x_array[sup] - x_array[inf]; + *b = (x-x_array[inf])/(*h); + *a = 1.0-(*b); + + return _SUCCESS_; +} + /** * interpolate linearily to get y_i(x), when x and y_i are in two different arrays * - * Called by transfer_interpolate_sources(); transfer_functions_at_k(); perturb_sources_at_eta(). + * Called by transfer_interpolate_sources(); transfer_functions_at_k(); perturbations_sources_at_eta(). */ int array_interpolate_two( double * array_x, @@ -2588,12 +2855,12 @@ int array_interpolate_two( if (x < array_x[inf*n_columns_x+index_x]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array_x[inf*n_columns_x+index_x]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array_x[inf*n_columns_x+index_x]); return _FAILURE_; } if (x > array_x[sup*n_columns_x+index_x]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array_x[sup*n_columns_x+index_x]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array_x[sup*n_columns_x+index_x]); return _FAILURE_; } @@ -2610,12 +2877,12 @@ int array_interpolate_two( else { if (x < *(array_x+sup*n_columns_x+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array_x+sup*n_columns_x+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array_x+sup*n_columns_x+index_x)); return _FAILURE_; } if (x > *(array_x+inf*n_columns_x+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array_x+inf*n_columns_x+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array_x+inf*n_columns_x+index_x)); return _FAILURE_; } @@ -2663,12 +2930,12 @@ int array_interpolate_two_bis( if (x < array_x[inf*n_columns_x+index_x]) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array_x[inf*n_columns_x+index_x]); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,array_x[inf*n_columns_x+index_x]); return _FAILURE_; } if (x > array_x[sup*n_columns_x+index_x]) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array_x[sup*n_columns_x+index_x]); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,array_x[sup*n_columns_x+index_x]); return _FAILURE_; } @@ -2685,12 +2952,12 @@ int array_interpolate_two_bis( else { if (x < *(array_x+sup*n_columns_x+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array_x+sup*n_columns_x+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e < x_min=%e",__func__,__LINE__,x,*(array_x+sup*n_columns_x+index_x)); return _FAILURE_; } if (x > *(array_x+inf*n_columns_x+index_x)) { - sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array_x+inf*n_columns_x+index_x)); + class_sprintf(errmsg,"%s(L:%d) : x=%e > x_max=%e",__func__,__LINE__,x,*(array_x+inf*n_columns_x+index_x)); return _FAILURE_; } @@ -2717,7 +2984,7 @@ int array_interpolate_two_bis( /** * interpolate linearily to get y_i(x), when x and y_i are in two different arrays * - * Called by transfer_interpolate_sources(); transfer_functions_at_k(); perturb_sources_at_eta(). + * Called by transfer_interpolate_sources(); transfer_functions_at_k(); perturbations_sources_at_eta(). */ int array_interpolate_two_arrays_one_column( double * array_x, /* assumed to be a vector (i.e. one column array) */ @@ -2731,17 +2998,18 @@ int array_interpolate_two_arrays_one_column( int inf,sup,mid; double weight; + double epsilon=1e-9; inf=0; sup=n_lines-1; if (array_x[inf] < array_x[sup]){ - class_test(x < array_x[inf], + class_test(x < array_x[inf]-epsilon, errmsg, "x=%e < x_min=%e",x,array_x[inf]); - class_test(x > array_x[sup], + class_test(x > array_x[sup]+epsilon, errmsg, "x=%e > x_max=%e",x,array_x[sup]); @@ -2757,11 +3025,11 @@ int array_interpolate_two_arrays_one_column( else { - class_test(x < array_x[sup], + class_test(x < array_x[sup]-epsilon, errmsg, "x=%e < x_min=%e",x,array_x[sup]); - class_test(x > array_x[inf], + class_test(x > array_x[inf]+epsilon, errmsg, "x=%e > x_max=%e",x,array_x[inf]); @@ -2800,12 +3068,12 @@ int array_interpolate_equal( double x_step,x_minus,weight; if (x < x_min) { - sprintf(errmsg,"%s(L:%d) : x out of bounds: x=%e,x_min=%e",__func__,__LINE__,x,x_min); + class_sprintf(errmsg,"%s(L:%d) : x out of bounds: x=%e,x_min=%e",__func__,__LINE__,x,x_min); return _FAILURE_; } if (x > x_max) { - sprintf(errmsg,"%s(L:%d) : x out of bounds: x=%e,x_max=%e",__func__,__LINE__,x,x_max); + class_sprintf(errmsg,"%s(L:%d) : x out of bounds: x=%e,x_max=%e",__func__,__LINE__,x,x_max); return _FAILURE_; } @@ -2943,9 +3211,9 @@ int array_smooth_trg(double * array, double weigth; double *coeff; - smooth=malloc(k_size*sizeof(double)); + smooth=(double*)malloc(k_size*sizeof(double)); if (smooth == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate smooth",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate smooth",__func__,__LINE__); return _FAILURE_; } @@ -3073,9 +3341,9 @@ int array_smooth(double * array, int i,j,jmin,jmax; double weigth; - smooth=malloc(n_lines*sizeof(double)); + smooth=(double*)malloc(n_lines*sizeof(double)); if (smooth == NULL) { - sprintf(errmsg,"%s(L:%d) Cannot allocate smooth",__func__,__LINE__); + class_sprintf(errmsg,"%s(L:%d) Cannot allocate smooth",__func__,__LINE__); return _FAILURE_; } @@ -3219,3 +3487,169 @@ int array_trapezoidal_convolution( *I = res; return _SUCCESS_; } + +/** + * In general, to obtain a least-squared fit to N data points, + * the matrix average(x^(i+j)) * a_i = average(x^j y) has to be solved, + * where i,j are the individual matrix indices as powers, and + * the averages are over all N data points. + * Here we implement the case for 3 coefficients a_i explicitly, + * using matrix calculations according to Cramer's rule. + * (Instead of a full LU decomposition) + * + **/ +int array_extrapolate_quadratic(double* x, double* y, double xnew, int x_size, double* ynew, double* dynew, ErrorMsg errmsg){ + + int i; + + double * xarr = x; + double * yarr = y; + + double av1=x_size; + double avx=0.0, avxx=0.0, avxxx=0.0, avxxxx=0.0; + double avy=0.0, avyx=0.0, avyxx=0.0; + + double div,a,b,c,xval,yval; + + /* + * We pivot around the zero-th element + * This removes natural offsets and scales + * (i.e. transforms it to around unity for x and y) + * This usually prevents numerical cancelation (offsets) and over/underflow (scales) + */ + for(i=0;i value > array[i+1]. + */ + +int array_hunt_descending( + double * array, + int size, + double value, + int * index, + ErrorMsg errmsg + ) { + int i_inf,i_sup,i_mid; + + i_inf=0; + i_sup=size-1; + + /* checks */ + if (array[i_inf] < array[i_sup]) { + class_sprintf(errmsg,"%s(L:%d) array is not in descending order (checked only the boundaries)",__func__,__LINE__); + return _FAILURE_; + } + if ((value > array[i_inf]) || (value < array[i_sup])) { + class_sprintf(errmsg,"%s(L:%d) %e is outside the range [%e, %e]",__func__,__LINE__,value,array[size-1],array[0]); + return _FAILURE_; + } + + /* bisection */ + while (i_sup-i_inf>1) { + i_mid = (i_sup+i_inf)/2; + if (value > array[i_mid]) + i_sup=i_mid; + else + i_inf=i_mid; + } + + /* result */ + *index = i_inf; + + /* check for debug */ + /* routine never used and tested before, be careful */ + fprintf(stderr, + "Check that array[%d]=%e>%e>array[%d]=%e\n", + *index, + array[*index], + value, + *index+1, + array[*index+1]); + return _FAILURE_; + + return _SUCCESS_; +} + +/** + * Assuming that array is a vector with elements arranged in ascending + * order, find i such that array[i] < value < array[i+1]. + */ + +int array_hunt_ascending( + double * array, + int size, + double value, + int * index, + ErrorMsg errmsg + ) { + int i_inf,i_sup,i_mid; + + i_inf=0; + i_sup=size-1; + + /* checks */ + if (array[i_inf] > array[i_sup]) { + class_sprintf(errmsg,"%s(L:%d) array is not in ascending order (checked only the boundaries)",__func__,__LINE__); + return _FAILURE_; + } + if ((value < array[i_inf]) || (value > array[i_sup])) { + class_sprintf(errmsg,"%s(L:%d) %e is outside the range [%e, %e]",__func__,__LINE__,value,array[0],array[size-1]); + return _FAILURE_; + } + + /* bisection */ + while (i_sup-i_inf>1) { + i_mid = (i_sup+i_inf)/2; + if (value > array[i_mid]) + i_inf=i_mid; + else + i_sup=i_mid; + } + + /* result */ + *index = i_inf; + + /* check for debug */ + /* + fprintf(stderr, + "Check that array[%d]=%e<%e *y) return 1; + return 0; +} + +/** + * This function detects if a string begins with a character, + * ignoring whitespaces during its search + * + * returns the result, NOT the _SUCCESS_ or _FAILURE_ codes. + * (This is done such that it can be used inside of an if statement) + * + * @param thestring Input: string to test + * @param beginchar Input: the character by which the string begins or not + * @return boolean + */ + +int string_begins_with(char* thestring, char beginchar){ + + /** Define temporary variables */ + int int_temp=0; + int strlength = strlen((thestring)); + int result = _FALSE_; + + /** Check through the beginning of the string to see if the beginchar is met */ + for(int_temp=0;int_tempperturbations_verbose > 2, this statistic is printed at the end of - each call to evolver. - - Sparsity: - When the number of equations becomes high, too much times is spent on solving - linear equations. Since the ODE-functions are not very coupled, one would normally - supply a sparsity pattern of the jacobian, which would encode the couplings of the - equations. However, this would be of some inconvenience to the users who just want - to add some new physics without thinking too much about how the code work. So we - pay a few more function evaluations, and calculate the full jacobian every time. - - Then, if jac->use_sparse==_TRUE_, numjac will try to construct a sparse matrix from - the dense matrix. If there are too many nonzero elements in the dense matrix, numjac - will stop constructing the sparse matrix and set jac->use_sparse=_FALSE_. The sparse - matrix is stored in the compressed column format. (See sparse.h). - - In the sparse case, we also do partial pivoting, but with diagonal preference. The - structure of the equations are nearly optimal for the LU decomposition, so we don't - want to mess it up by too many row permutations if we can avoid it. This is also why - do not use any column permutation to pre-order the matrix. +/* This is an variable order, adaptive stepsize ODE evolver for CLASS. + It is based on the Numerical Differentiaion Formulas of order 1-5, + and can be used to solve stiff problems. The algorithm is described in + [The MATLAB ODE Suite, L. F. Shampine and M. W. Reichelt, SIAM Journal + on Scientific Computing, 18-1, 1997]. + + The code will call the (*output) routine at x-values in t_vec[]. It + will interpolate to get the y-value aswell as (optionally) the first and + second derivative at points returned by the routine relevant_indices. + Since the transfer function only depends on a few of these values, there + is no need to interpolate all of them. + + Every time there is a stepsize change, we need to rebuild **dif, the matrix + which holds the backward differences, to reflect the new stepsize. This is done + in "adjust_stepsize" and is essentially a matrix multiplication. Every times + there is either a stepsize change, the method order k is changed, or we compute + a new Jacobian, we must call "new_linearisation" to calculate a new LU + decomposition of a matrix. + + The method will not recompute the Jacobian in every step, but only when the + Newton iterations fail to converge fast enough. This feature makes the + solver competitive even for non-stiff problems. + + Statistics is saved in the stepstat[6] vector. The entries are: + stepstat[0] = Successful steps. + stepstat[1] = Failed steps. + stepstat[2] = Total number of function evaluations. + stepstat[3] = Number of Jacobians computed. + stepstat[4] = Number of LU decompositions. + stepstat[5] = Number of linear solves. + If ppt->perturbations_verbose > 2, this statistic is printed at the end of + each call to evolver. + + Sparsity: + When the number of equations becomes high, too much times is spent on solving + linear equations. Since the ODE-functions are not very coupled, one would normally + supply a sparsity pattern of the jacobian, which would encode the couplings of the + equations. However, this would be of some inconvenience to the users who just want + to add some new physics without thinking too much about how the code work. So we + pay a few more function evaluations, and calculate the full jacobian every time. + + Then, if jac->use_sparse==_TRUE_, numjac will try to construct a sparse matrix from + the dense matrix. If there are too many nonzero elements in the dense matrix, numjac + will stop constructing the sparse matrix and set jac->use_sparse=_FALSE_. The sparse + matrix is stored in the compressed column format. (See sparse.h). + + In the sparse case, we also do partial pivoting, but with diagonal preference. The + structure of the equations are nearly optimal for the LU decomposition, so we don't + want to mess it up by too many row permutations if we can avoid it. This is also why + do not use any column permutation to pre-order the matrix. */ #include "common.h" #include "evolver_ndf15.h" @@ -60,28 +60,28 @@ #include "sparse.h" int evolver_ndf15( - int (*derivs)(double x,double * y,double * dy, - void * parameters_and_workspace, ErrorMsg error_message), - double x_ini, - double x_final, - double * y_inout, - int * used_in_output, - int neq, - void * parameters_and_workspace_for_derivs, - double rtol, - double minimum_variation, - int (*timescale_and_approximation)(double x, - void * parameters_and_workspace, - double * timescales, - ErrorMsg error_message), - double timestep_over_timescale, - double * t_vec, - int tres, - int (*output)(double x,double y[],double dy[],int index_x,void * parameters_and_workspace, - ErrorMsg error_message), - int (*print_variables)(double x, double y[], double dy[], void *parameters_and_workspace, - ErrorMsg error_message), - ErrorMsg error_message){ + int (*derivs)(double x,double * y,double * dy, + void * parameters_and_workspace, ErrorMsg error_message), + double x_ini, + double x_final, + double * y_inout, + int * used_in_output, + int neq, + void * parameters_and_workspace_for_derivs, + double rtol, + double minimum_variation, + int (*timescale_and_approximation)(double x, + void * parameters_and_workspace, + double * timescales, + ErrorMsg error_message), + double timestep_over_timescale, + double * t_vec, + int tres, + int (*output)(double x,double y[],double dy[],int index_x,void * parameters_and_workspace, + ErrorMsg error_message), + int (*print_variables)(double x, double y[], double dy[], void *parameters_and_workspace, + ErrorMsg error_message), + ErrorMsg error_message){ /* Constants: */ double G[5]={1.0,3.0/2.0,11.0/6.0,25.0/12.0,137.0/60.0}; @@ -110,6 +110,7 @@ int evolver_ndf15( /* Misc: */ int stepstat[6],nfenj,j,ii,jj, numidx, neqp=neq+1; int verbose=0; + int funcreturn; /** Allocate memory . */ @@ -123,8 +124,8 @@ int evolver_ndf15( +(7*neq+1)*sizeof(double); class_alloc(buffer, - buffer_size, - error_message); + buffer_size, + error_message); f0 =(double*)buffer; wt =f0+neqp; @@ -155,29 +156,29 @@ int evolver_ndf15( } } - /* class_alloc(f0,sizeof(double)*neqp,error_message); */ - /* class_alloc(wt,sizeof(double)*neqp,error_message); */ - /* class_alloc(ddfddt,sizeof(double)*neqp,error_message); */ - /* class_alloc(pred,sizeof(double)*neqp,error_message); */ - /* class_alloc(y,sizeof(double)*neqp,error_message); */ - /* class_alloc(invwt,sizeof(double)*neqp,error_message); */ - /* class_alloc(rhs,sizeof(double)*neqp,error_message); */ - /* class_alloc(psi,sizeof(double)*neqp,error_message); */ - /* class_alloc(difkp1,sizeof(double)*neqp,error_message); */ - /* class_alloc(del,sizeof(double)*neqp,error_message); */ - /* class_alloc(yinterp,sizeof(double)*neqp,error_message); */ - /* class_alloc(ypinterp,sizeof(double)*neqp,error_message); */ - /* class_alloc(yppinterp,sizeof(double)*neqp,error_message); */ - /* class_alloc(tempvec1,sizeof(double)*neqp,error_message); */ - /* class_alloc(tempvec2,sizeof(double)*neqp,error_message); */ - - /* class_alloc(interpidx,sizeof(int)*neqp,error_message); */ + /* class_alloc(f0,sizeof(double)*neqp,error_message); */ + /* class_alloc(wt,sizeof(double)*neqp,error_message); */ + /* class_alloc(ddfddt,sizeof(double)*neqp,error_message); */ + /* class_alloc(pred,sizeof(double)*neqp,error_message); */ + /* class_alloc(y,sizeof(double)*neqp,error_message); */ + /* class_alloc(invwt,sizeof(double)*neqp,error_message); */ + /* class_alloc(rhs,sizeof(double)*neqp,error_message); */ + /* class_alloc(psi,sizeof(double)*neqp,error_message); */ + /* class_alloc(difkp1,sizeof(double)*neqp,error_message); */ + /* class_alloc(del,sizeof(double)*neqp,error_message); */ + /* class_alloc(yinterp,sizeof(double)*neqp,error_message); */ + /* class_alloc(ypinterp,sizeof(double)*neqp,error_message); */ + /* class_alloc(yppinterp,sizeof(double)*neqp,error_message); */ + /* class_alloc(tempvec1,sizeof(double)*neqp,error_message); */ + /* class_alloc(tempvec2,sizeof(double)*neqp,error_message); */ + + /* class_alloc(interpidx,sizeof(int)*neqp,error_message); */ /* Allocate vector of pointers to rows of dif:*/ - /* class_alloc(dif,sizeof(double*)*neqp,error_message); */ - /* class_calloc(dif[1],(7*neq+1),sizeof(double),error_message); */ - /* dif[0] = NULL; */ - /* for(j=2;j<=neq;j++) dif[j] = dif[j-1]+7; */ /* Set row pointers... */ + /* class_alloc(dif,sizeof(double*)*neqp,error_message); */ + /* class_calloc(dif[1],(7*neq+1),sizeof(double),error_message); */ + /* dif[0] = NULL; */ + /* for(j=2;j<=neq;j++) dif[j] = dif[j-1]+7; */ /* Set row pointers... */ /*Set pointers:*/ ynew = y_inout-1; /* This way y_inout is always up to date. */ @@ -241,8 +242,8 @@ int evolver_ndf15( nfenj=0; class_call_except(numjac((*derivs),t,y,f0,&jac,&nj_ws,abstol,neq, &nfenj,parameters_and_workspace_for_derivs,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); stepstat[3] += 1; stepstat[2] += nfenj; Jcurrent = _TRUE_; /* True */ @@ -266,7 +267,7 @@ int evolver_ndf15( class_call_except((*derivs)(t+tdel,y+1,tempvec1+1,parameters_and_workspace_for_derivs,error_message), error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); stepstat[2] += 1; /*I assume that a full jacobi matrix is always calculated in the beginning...*/ @@ -289,7 +290,7 @@ int evolver_ndf15( h = tdir * absh; /* Done calculating initial step Get ready to do the loop:*/ - k = 1; /*start at order 1 with BDF1 */ + k = 1; /*start at order 1 with BDF1 */ klast = k; abshlast = absh; @@ -299,7 +300,7 @@ int evolver_ndf15( nconhk = 0; /*steps taken with current h and k*/ class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); stepstat[4] += 1; havrate = _FALSE_; /*false*/ @@ -308,12 +309,15 @@ int evolver_ndf15( at_hmin = _FALSE_; while (done==_FALSE_){ hmin = MAX(hmin, minimum_variation); + /**class_test(stepstat[2] > 1e5, error_message, + "Too many steps in evolver! Current stepsize:%g, in interval: [%g:%g]\n", + absh,t0,tfinal);*/ maxtmp = MAX(hmin,absh); absh = MIN(hmax, maxtmp); if (fabs(absh-hmin)<100*eps){ /* If the stepsize has not changed */ if (at_hmin==_TRUE_){ - absh = abshlast; /*required by stepsize recovery */ + absh = abshlast; /*required by stepsize recovery */ } at_hmin = _TRUE_; } @@ -332,216 +336,220 @@ int evolver_ndf15( hinvGak = h * invGa[k-1]; nconhk = 0; class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); stepstat[4] += 1; havrate = _FALSE_; } - /* Loop for advancing one step */ + /* Loop for advancing one step */ nofailed = _TRUE_; for( ; ; ){ - gotynew = _FALSE_; /* is ynew evaluated yet?*/ + gotynew = _FALSE_; /* is ynew evaluated yet?*/ while(gotynew==_FALSE_){ - /*Compute the constant terms in the equation for ynew. - Next FOR lop is just: psi = matmul(dif(:,1:k),(G(1:k) * invGa(k)))*/ - for(ii=1;ii<=neq;ii++){ - psi[ii] = 0.0; - for(jj=1;jj<=k;jj++){ - psi[ii] += dif[ii][jj]*G[jj-1]*invGa[k-1]; - } - } - /* Predict a solution at t+h. */ - tnew = t + h; - if (done==_TRUE_){ - tnew = tfinal; /*Hit end point exactly. */ - } - h = tnew - t; /* Purify h. */ - for(ii=1;ii<=neq;ii++){ - pred[ii] = y[ii]; - for(jj=1;jj<=k;jj++){ - pred[ii] +=dif[ii][jj]; - } - } - eqvec(pred,ynew,neq); - - /*The difference, difkp1, between pred and the final accepted - ynew is equal to the backward difference of ynew of order - k+1. Initialize to zero for the iteration to compute ynew. - */ - - minnrm = 0.0; - for(j=1;j<=neq;j++){ - difkp1[j] = 0.0; - maxtmp = MAX(fabs(ynew[j]),fabs(y[j])); - invwt[j] = 1.0 / MAX(maxtmp,threshold); - maxtmp = 100*eps*fabs(ynew[j]*invwt[j]); - minnrm = MAX(minnrm,maxtmp); - } - /* Iterate with simplified Newton method. */ - tooslow = _FALSE_; - for(iter=1;iter<=maxit;iter++){ - for (ii=1;ii<=neq;ii++){ - tempvec1[ii]=(psi[ii]+difkp1[ii]); - } - class_call_except((*derivs)(tnew,ynew+1,f0+1,parameters_and_workspace_for_derivs,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); - stepstat[2] += 1; - for(j=1;j<=neq;j++){ - rhs[j] = hinvGak*f0[j]-tempvec1[j]; - } - - /*Solve the linear system A*x=del by using the LU decomposition stored in jac.*/ - if (jac.use_sparse){ - sp_lusolve(jac.Numerical, rhs+1, del+1); - } - else{ - eqvec(rhs,del,neq); - lubksb(jac.LU,neq,jac.luidx,del); - } - - stepstat[5]+=1; - newnrm = 0.0; - for(j=1;j<=neq;j++){ - maxtmp = fabs(del[j]*invwt[j]); - newnrm = MAX(newnrm,maxtmp); - } - for(j=1;j<=neq;j++){ - difkp1[j] += del[j]; - ynew[j] = pred[j] + difkp1[j]; - } - if (newnrm <= minnrm){ - gotynew = _TRUE_; - break; /* Break Newton loop */ - } - else if(iter == 1){ - if (havrate==_TRUE_){ - errit = newnrm * rate / (1.0 - rate); - if (errit <= 0.05*rtol){ - gotynew = _TRUE_; - break; /* Break Newton Loop*/ - } - } - else { - rate = 0.0; - } - } - else if(newnrm > 0.9*oldnrm){ - tooslow = _TRUE_; - break; /*Break Newton lop */ - } - else{ - rate = MAX(0.9*rate, newnrm / oldnrm); - havrate = _TRUE_; - errit = newnrm * rate / (1.0 - rate); - if (errit <= 0.5*rtol){ - gotynew = _TRUE_; - break; /* exit newton */ - } - else if (iter == maxit){ - tooslow = _TRUE_; - break; /*exit newton */ - } - else if (0.5*rtol < errit*pow(rate,(maxit-iter))){ - tooslow = _TRUE_; - break; /*exit Newton */ - } - } - oldnrm = newnrm; - } - if (tooslow==_TRUE_){ - stepstat[1] += 1; - /* ! Speed up the iteration by forming new linearization or reducing h. */ - if (Jcurrent==_FALSE_){ - class_call_except((*derivs)(t,y+1,f0+1,parameters_and_workspace_for_derivs,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); - nfenj=0; - class_call_except(numjac((*derivs),t,y,f0,&jac,&nj_ws,abstol,neq, - &nfenj,parameters_and_workspace_for_derivs,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); - stepstat[3] += 1; - stepstat[2] += (nfenj + 1); - Jcurrent = _TRUE_; - } - else if (absh <= hmin){ - class_test_except(absh <= hmin, - error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws), - "Step size too small: step:%g, minimum:%g, in interval: [%g:%g]\n", - absh,hmin,t0,tfinal); - } - else{ - abshlast = absh; - absh = MAX(0.3 * absh, hmin); - h = tdir * absh; - done = _FALSE_; - adjust_stepsize(dif,(absh/abshlast),neq,k); - hinvGak = h * invGa[k-1]; - nconhk = 0; - } - /* A new linearisation is needed in both cases */ - class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); - stepstat[4] += 1; - havrate = _FALSE_; - } + /*Compute the constant terms in the equation for ynew. + Next FOR lop is just: psi = matmul(dif(:,1:k),(G(1:k) * invGa(k)))*/ + for(ii=1;ii<=neq;ii++){ + psi[ii] = 0.0; + for(jj=1;jj<=k;jj++){ + psi[ii] += dif[ii][jj]*G[jj-1]*invGa[k-1]; + } + } + /* Predict a solution at t+h. */ + tnew = t + h; + if (done==_TRUE_){ + tnew = tfinal; /*Hit end point exactly. */ + } + h = tnew - t; /* Purify h. */ + for(ii=1;ii<=neq;ii++){ + pred[ii] = y[ii]; + for(jj=1;jj<=k;jj++){ + pred[ii] +=dif[ii][jj]; + } + } + eqvec(pred,ynew,neq); + + /*The difference, difkp1, between pred and the final accepted + ynew is equal to the backward difference of ynew of order + k+1. Initialize to zero for the iteration to compute ynew. + */ + + minnrm = 0.0; + for(j=1;j<=neq;j++){ + difkp1[j] = 0.0; + maxtmp = MAX(fabs(ynew[j]),fabs(y[j])); + invwt[j] = 1.0 / MAX(maxtmp,threshold); + maxtmp = 100*eps*fabs(ynew[j]*invwt[j]); + minnrm = MAX(minnrm,maxtmp); + } + /* Iterate with simplified Newton method. */ + tooslow = _FALSE_; + for(iter=1;iter<=maxit;iter++){ + for (ii=1;ii<=neq;ii++){ + tempvec1[ii]=(psi[ii]+difkp1[ii]); + } + class_call_except((*derivs)(tnew,ynew+1,f0+1,parameters_and_workspace_for_derivs,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + stepstat[2] += 1; + for(j=1;j<=neq;j++){ + rhs[j] = hinvGak*f0[j]-tempvec1[j]; + } + + /*Solve the linear system A*x=del by using the LU decomposition stored in jac.*/ + if (jac.use_sparse){ + funcreturn = sp_lusolve(jac.Numerical, rhs+1, del+1); + class_test(funcreturn == _FAILURE_,error_message, + "Failure in sp_lusolve. Possibly singular matrix!"); + } + else{ + eqvec(rhs,del,neq); + funcreturn = lubksb(jac.LU,neq,jac.luidx,del); + class_test(funcreturn == _FAILURE_,error_message, + "Failure in lubksb. Possibly singular matrix!"); + } + + stepstat[5]+=1; + newnrm = 0.0; + for(j=1;j<=neq;j++){ + maxtmp = fabs(del[j]*invwt[j]); + newnrm = MAX(newnrm,maxtmp); + } + for(j=1;j<=neq;j++){ + difkp1[j] += del[j]; + ynew[j] = pred[j] + difkp1[j]; + } + if (newnrm <= minnrm){ + gotynew = _TRUE_; + break; /* Break Newton loop */ + } + else if(iter == 1){ + if (havrate==_TRUE_){ + errit = newnrm * rate / (1.0 - rate); + if (errit <= 0.05*rtol){ + gotynew = _TRUE_; + break; /* Break Newton Loop*/ + } + } + else { + rate = 0.0; + } + } + else if(newnrm > 0.9*oldnrm){ + tooslow = _TRUE_; + break; /*Break Newton lop */ + } + else{ + rate = MAX(0.9*rate, newnrm / oldnrm); + havrate = _TRUE_; + errit = newnrm * rate / (1.0 - rate); + if (errit <= 0.5*rtol){ + gotynew = _TRUE_; + break; /* exit newton */ + } + else if (iter == maxit){ + tooslow = _TRUE_; + break; /*exit newton */ + } + else if (0.5*rtol < errit*pow(rate,(maxit-iter))){ + tooslow = _TRUE_; + break; /*exit Newton */ + } + } + oldnrm = newnrm; + } + if (tooslow==_TRUE_){ + stepstat[1] += 1; + /* ! Speed up the iteration by forming new linearization or reducing h. */ + if (Jcurrent==_FALSE_){ + class_call_except((*derivs)(t,y+1,f0+1,parameters_and_workspace_for_derivs,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + nfenj=0; + class_call_except(numjac((*derivs),t,y,f0,&jac,&nj_ws,abstol,neq, + &nfenj,parameters_and_workspace_for_derivs,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + stepstat[3] += 1; + stepstat[2] += (nfenj + 1); + Jcurrent = _TRUE_; + } + else if (absh <= hmin){ + class_test_except(absh <= hmin, + error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws), + "Step size too small: step:%g, minimum:%g, in interval: [%g:%g]\n", + absh,hmin,t0,tfinal); + } + else{ + abshlast = absh; + absh = MAX(0.3 * absh, hmin); + h = tdir * absh; + done = _FALSE_; + adjust_stepsize(dif,(absh/abshlast),neq,k); + hinvGak = h * invGa[k-1]; + nconhk = 0; + } + /* A new linearisation is needed in both cases */ + class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + stepstat[4] += 1; + havrate = _FALSE_; + } } /*end of while loop for getting ynew - difkp1 is now the backward difference of ynew of order k+1. */ + difkp1 is now the backward difference of ynew of order k+1. */ err = 0.0; for(jj=1;jj<=neq;jj++){ - err = MAX(err,fabs(difkp1[jj]*invwt[jj])); + err = MAX(err,fabs(difkp1[jj]*invwt[jj])); } err = err * erconst[k-1]; if (err>rtol){ - /*Step failed */ - stepstat[1]+= 1; - if (absh <= hmin){ - class_test_except(absh <= hmin, - error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws), - "Step size too small: step:%g, minimum:%g, in interval: [%g:%g]\n", - absh,hmin,t0,tfinal); - } - abshlast = absh; - if (nofailed==_TRUE_){ - nofailed = _FALSE_; - hopt = absh * MAX(0.1, 0.833*pow((rtol/err),(1.0/(k+1)))); - if (k > 1){ - errkm1 = 0.0; - for(jj=1;jj<=neq;jj++){ - errkm1 = MAX(errkm1,fabs((dif[jj][k]+difkp1[jj])*invwt[jj])); - } - errkm1 = errkm1*erconst[k-2]; - hkm1 = absh * MAX(0.1, 0.769*pow((rtol/errkm1),(1.0/k))); - if (hkm1 > hopt){ - hopt = MIN(absh,hkm1); /* don't allow step size increase */ - k = k - 1; - } - } - absh = MAX(hmin, hopt); - } - else{ - absh = MAX(hmin, 0.5 * absh); - } - h = tdir * absh; - if (absh < abshlast){ - done = _FALSE_; - } - adjust_stepsize(dif,(absh/abshlast),neq,k); - hinvGak = h * invGa[k-1]; - nconhk = 0; - class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); - stepstat[4] += 1; - havrate = _FALSE_; + /*Step failed */ + stepstat[1]+= 1; + if (absh <= hmin){ + class_test_except(absh <= hmin, + error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws), + "Step size too small: step:%g, minimum:%g, in interval: [%g:%g]\n", + absh,hmin,t0,tfinal); + } + abshlast = absh; + if (nofailed==_TRUE_){ + nofailed = _FALSE_; + hopt = absh * MAX(0.1, 0.833*pow((rtol/err),(1.0/(k+1)))); + if (k > 1){ + errkm1 = 0.0; + for(jj=1;jj<=neq;jj++){ + errkm1 = MAX(errkm1,fabs((dif[jj][k]+difkp1[jj])*invwt[jj])); + } + errkm1 = errkm1*erconst[k-2]; + hkm1 = absh * MAX(0.1, 0.769*pow((rtol/errkm1),(1.0/k))); + if (hkm1 > hopt){ + hopt = MIN(absh,hkm1); /* don't allow step size increase */ + k = k - 1; + } + } + absh = MAX(hmin, hopt); + } + else{ + absh = MAX(hmin, 0.5 * absh); + } + h = tdir * absh; + if (absh < abshlast){ + done = _FALSE_; + } + adjust_stepsize(dif,(absh/abshlast),neq,k); + hinvGak = h * invGa[k-1]; + nconhk = 0; + class_call_except(new_linearisation(&jac,hinvGak,neq,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + stepstat[4] += 1; + havrate = _FALSE_; } else { - break; /* Succesfull step */ + break; /* Succesfull step */ } } /* End of conditionless FOR loop */ @@ -554,7 +562,7 @@ int evolver_ndf15( } for(j=k;j>=1;j--){ for(ii=1;ii<=neq;ii++){ - dif[ii][j] += dif[ii][j+1]; + dif[ii][j] += dif[ii][j+1]; } } /** Output **/ @@ -563,24 +571,24 @@ int evolver_ndf15( if (tnew==t_vec[next]){ class_call_except((*output)(t_vec[next],ynew+1,f0+1,next,parameters_and_workspace_for_derivs,error_message), error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); // MODIFICATION BY LUC // All print_variables have been moved to the end of time step /* - if (print_variables != NULL){ - class_call((*print_variables)(t_vec[next],ynew+1,f0+1, - parameters_and_workspace_for_derivs,error_message), - error_message,error_message); - } + if (print_variables != NULL){ + class_call((*print_variables)(t_vec[next],ynew+1,f0+1, + parameters_and_workspace_for_derivs,error_message), + error_message,error_message); + } */ } else { - /*Interpolate if we have overshot sample values*/ - interp_from_dif(t_vec[next],tnew,ynew,h,dif,k,yinterp,ypinterp,yppinterp,interpidx,neq,2); + /*Interpolate if we have overshot sample values*/ + interp_from_dif(t_vec[next],tnew,ynew,h,dif,k,yinterp,ypinterp,yppinterp,interpidx,neq,2); - class_call_except((*output)(t_vec[next],yinterp+1,ypinterp+1,next,parameters_and_workspace_for_derivs,error_message), - error_message,error_message, - free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); + class_call_except((*output)(t_vec[next],yinterp+1,ypinterp+1,next,parameters_and_workspace_for_derivs,error_message), + error_message,error_message, + free(buffer);uninitialize_jacobian(&jac);uninitialize_numjac_workspace(&nj_ws)); } next++; @@ -595,53 +603,53 @@ int evolver_ndf15( if (nconhk >= k + 2){ temp = 1.2*pow((err/rtol),(1.0/(k+1.0))); if (temp > 0.1){ - hopt = absh / temp; + hopt = absh / temp; } else { - hopt = 10*absh; + hopt = 10*absh; } kopt = k; if (k > 1){ - errkm1 = 0.0; - for(jj=1;jj<=neq;jj++){ - errkm1 = MAX(errkm1,fabs(dif[jj][k]*invwt[jj])); - } - errkm1 = errkm1*erconst[k-2]; - temp = 1.3*pow((errkm1/rtol),(1.0/k)); - if (temp > 0.1){ - hkm1 = absh / temp; - } - else { - hkm1 = 10*absh; - } - if (hkm1 > hopt){ - hopt = hkm1; - kopt = k - 1; - } + errkm1 = 0.0; + for(jj=1;jj<=neq;jj++){ + errkm1 = MAX(errkm1,fabs(dif[jj][k]*invwt[jj])); + } + errkm1 = errkm1*erconst[k-2]; + temp = 1.3*pow((errkm1/rtol),(1.0/k)); + if (temp > 0.1){ + hkm1 = absh / temp; + } + else { + hkm1 = 10*absh; + } + if (hkm1 > hopt){ + hopt = hkm1; + kopt = k - 1; + } } if (k < maxk){ - errkp1 = 0.0; - for(jj=1;jj<=neq;jj++){ - errkp1 = MAX(errkp1,fabs(dif[jj][k+2]*invwt[jj])); - } - errkp1 = errkp1*erconst[k]; - temp = 1.4*pow((errkp1/rtol),(1.0/(k+2.0))); - if (temp > 0.1){ - hkp1 = absh / temp; - } - else { - hkp1 = 10*absh; - } - if (hkp1 > hopt){ - hopt = hkp1; - kopt = k + 1; - } + errkp1 = 0.0; + for(jj=1;jj<=neq;jj++){ + errkp1 = MAX(errkp1,fabs(dif[jj][k+2]*invwt[jj])); + } + errkp1 = errkp1*erconst[k]; + temp = 1.4*pow((errkp1/rtol),(1.0/(k+2.0))); + if (temp > 0.1){ + hkp1 = absh / temp; + } + else { + hkp1 = 10*absh; + } + if (hkp1 > hopt){ + hopt = hkp1; + kopt = k + 1; + } } if (hopt > absh){ - absh = hopt; - if (k!=kopt){ - k = kopt; - } + absh = hopt; + if (k!=kopt){ + k = kopt; + } } } /* Advance the integration one step. */ @@ -691,32 +699,32 @@ int evolver_ndf15( if (verbose > 0){ printf("\n End of evolver. Next=%d, t=%e and tnew=%e.",next,t,tnew); printf("\n Statistics: [%d %d %d %d %d %d] \n",stepstat[0],stepstat[1], - stepstat[2],stepstat[3],stepstat[4],stepstat[5]); + stepstat[2],stepstat[3],stepstat[4],stepstat[5]); } /** Deallocate memory */ free(buffer); - /* free(f0); */ - /* free(wt); */ - /* free(ddfddt); */ - /* free(pred); */ - /* free(y); */ - /* free(invwt); */ - /* free(rhs); */ - /* free(psi); */ - /* free(difkp1); */ - /* free(del); */ - /* free(yinterp); */ - /* free(ypinterp); */ - /* free(yppinterp); */ - /* free(tempvec1); */ - /* free(tempvec2); */ - - /* free(interpidx); */ - /* free(dif[1]); */ - /* free(dif); */ + /* free(f0); */ + /* free(wt); */ + /* free(ddfddt); */ + /* free(pred); */ + /* free(y); */ + /* free(invwt); */ + /* free(rhs); */ + /* free(psi); */ + /* free(difkp1); */ + /* free(del); */ + /* free(yinterp); */ + /* free(ypinterp); */ + /* free(yppinterp); */ + /* free(tempvec1); */ + /* free(tempvec2); */ + + /* free(interpidx); */ + /* free(dif[1]); */ + /* free(dif); */ uninitialize_jacobian(&jac); uninitialize_numjac_workspace(&nj_ws); @@ -752,35 +760,35 @@ int calc_C(struct jacobian *jac){ for (i=Ap[j];iNumerical->xi[col][k]==row){ - duplicate = _TRUE_; - break; - } - } - if (!duplicate){ - jac->Numerical->xi[col][Cp[col+1]] = row; - Cp[col+1]++; - } - /* Add (j,i) to sparsity pattern if it does not exist: */ - duplicate = _FALSE_; - col = Ai[i]; row = j; - for(k=0;kNumerical->xi[col][k]==row){ - duplicate = _TRUE_; - break; - } - } - if (!duplicate){ - jac->Numerical->xi[col][Cp[col+1]] = row; - Cp[col+1]++; - } + /*Don't consider diagonal entries..*/ + /* Add (i,j) to sparsity pattern of C, if it does not exist: */ + duplicate = _FALSE_; + col = j; row = Ai[i]; + for(k=0;kNumerical->xi[col][k]==row){ + duplicate = _TRUE_; + break; + } + } + if (!duplicate){ + jac->Numerical->xi[col][Cp[col+1]] = row; + Cp[col+1]++; + } + /* Add (j,i) to sparsity pattern if it does not exist: */ + duplicate = _FALSE_; + col = Ai[i]; row = j; + for(k=0;kNumerical->xi[col][k]==row){ + duplicate = _TRUE_; + break; + } + } + if (!duplicate){ + jac->Numerical->xi[col][Cp[col+1]] = row; + Cp[col+1]++; + } } } } @@ -798,7 +806,7 @@ int calc_C(struct jacobian *jac){ /* Subroutine that interpolates from information stored in dif */ int interp_from_difold(double tinterp,double tnew,double *ynew,double h,double **dif,int k, double *yinterp, - double *ypinterp, double *yppinterp, int* index, int neq, int output){ + double *ypinterp, double *yppinterp, int* index, int neq, int output){ /* Output=1: only y_vector. Output=2: y and y prime. Output=3: y, yp and ypp*/ int i,j,m,l,p,factor; double sumj,suml,sump,prodm,s; @@ -806,9 +814,9 @@ int interp_from_difold(double tinterp,double tnew,double *ynew,double h,double * if (k==1){ for(i=1;i<=neq;i++){ if(index[i]==_TRUE_){ - yinterp[i] = ynew[i] + dif[i][1] * s; - if (output>1) ypinterp[i] = dif[i][1]/h; - if (output>2) yppinterp[i] = 0; /* No good estimate can be made of the second derivative */ + yinterp[i] = ynew[i] + dif[i][1] * s; + if (output>1) ypinterp[i] = dif[i][1]/h; + if (output>2) yppinterp[i] = 0; /* No good estimate can be made of the second derivative */ } } } @@ -816,60 +824,60 @@ int interp_from_difold(double tinterp,double tnew,double *ynew,double h,double * /*This gets tricky */ for(i=1;i<=neq;i++){ if(index[i]==_TRUE_){ - /*First the value of the function: */ - sumj=0.0; - factor=1; - for(j=1;j<=k;j++){ - prodm=1.0; - factor*=j; - for(m=0;m1){ - factor = 1; - sumj=0.0; - for(j=1;j<=k;j++){ - suml = 0.0; - factor *=j; - for(l=0;l2){ - factor=1; - sumj=0.0; - for(j=1;j<=k;j++){ - suml=0.0; - factor*=j; - for(l=0;l1){ + factor = 1; + sumj=0.0; + for(j=1;j<=k;j++){ + suml = 0.0; + factor *=j; + for(l=0;l2){ + factor=1; + sumj=0.0; + for(j=1;j<=k;j++){ + suml=0.0; + factor*=j; + for(l=0;lspJ->Ax from jac->xjac, the jacobian:*/ for(j=0;jxjac[i]; - } - else{ - Ax[i] = -hinvGak*jac->xjac[i]; - } + if(Ai[i]==j){ + /* I'm at the diagonal */ + Ax[i] = 1.0-hinvGak*jac->xjac[i]; + } + else{ + Ax[i] = -hinvGak*jac->xjac[i]; + } } } /* Matrix constructed... */ if(jac->new_jacobian==_TRUE_){ /*I have a new pattern, and I have not done a LU decomposition - since the last jacobian calculation, so I need to do a full - sparse LU-decomposition: */ + since the last jacobian calculation, so I need to do a full + sparse LU-decomposition: */ /* Find the sparsity pattern C = J + J':*/ calc_C(jac); /* Calculate the optimal ordering: */ sp_amd(jac->Cp, jac->Ci, neq, jac->cnzmax, - jac->Numerical->q,jac->Numerical->wamd); + jac->Numerical->q,jac->Numerical->wamd); /* if the next line is uncomented, the code uses natural ordering instead of AMD ordering */ /*jac->Numerical->q = NULL;*/ funcreturn = sp_ludcmp(jac->Numerical, jac->spJ, 1e-3); class_test(funcreturn == _FAILURE_,error_message, - "Failure in sp_ludcmp. Possibly singular matrix!"); + "Failure in sp_ludcmp. Possibly singular matrix!"); jac->new_jacobian = _FALSE_; } else{ @@ -1005,14 +1013,14 @@ int new_linearisation(struct jacobian *jac,double hinvGak,int neq,ErrorMsg error /* Normal calculation: */ for(i=1;i<=neq;i++){ for(j=1;j<=neq;j++){ - jac->LU[i][j] = - hinvGak * jac->dfdy[i][j]; - if(i==j) jac->LU[i][j] +=1.0; + jac->LU[i][j] = - hinvGak * jac->dfdy[i][j]; + if(i==j) jac->LU[i][j] +=1.0; } } /*Dense LU decomposition: */ funcreturn = ludcmp(jac->LU,neq,jac->luidx,&luparity,jac->LUw); class_test(funcreturn == _FAILURE_,error_message, - "Failure in ludcmp. Possibly singular matrix!"); + "Failure in ludcmp. Possibly singular matrix!"); } return _SUCCESS_; } @@ -1060,15 +1068,15 @@ int ludcmp(double **a, int n, int *indx, double *d, double *vv){ for (k=1;k= big) { - big=dum; - imax=i; + big=dum; + imax=i; } } if (j != imax) { for (k=1;k<=n;k++) { - dum=a[imax][k]; - a[imax][k]=a[j][k]; - a[j][k]=dum; + dum=a[imax][k]; + a[imax][k]=a[j][k]; + a[j][k]=dum; } *d = -(*d); vv[imax]=vv[j]; @@ -1103,6 +1111,7 @@ int fzero_Newton(int (*func)(double *x, int k,i,j,*indx, ntrial=20; double errx,errf,d,*F0,*Fdel,**Fjac,*p, *lu_work; int has_converged = _FALSE_; + int funcreturn; double toljac = 1e-3; double *delx; @@ -1169,8 +1178,12 @@ int fzero_Newton(int (*func)(double *x, for (i=1; i<=x_size; i++) p[i] = -F0[i-1]; //Right-hand side of linear equations. - ludcmp(Fjac, x_size, indx, &d, lu_work); //Solve linear equations using LU decomposition. - lubksb(Fjac, x_size, indx, p); + funcreturn = ludcmp(Fjac, x_size, indx, &d, lu_work); //Solve linear equations using LU decomposition. + class_test(funcreturn == _FAILURE_,error_message, + "Failure in ludcmp. Possibly singular matrix!"); + funcreturn = lubksb(Fjac, x_size, indx, p); + class_test(funcreturn == _FAILURE_,error_message, + "Failure in lubksb. Possibly singular matrix!"); errx=0.0; //Check root convergence. for (i=1; i<=x_size; i++) { //Update solution. errx += fabs(p[i]); @@ -1201,19 +1214,19 @@ int fzero_Newton(int (*func)(double *x, /**********************************************************************/ /* Here are some routines related to the calculation of the jacobian: */ -/* "numjac", "initialize_jacobian", "uninitialize_jacobian", */ -/* "initialize_numjac_workspace", "uninitialize_numjac_workspace". */ +/* "numjac", "initialize_jacobian", "uninitialize_jacobian", */ +/* "initialize_numjac_workspace", "uninitialize_numjac_workspace". */ /**********************************************************************/ int numjac( - int (*derivs)(double x, double * y,double * dy, - void * parameters_and_workspace, ErrorMsg error_message), - double t, double *y, double *fval, - struct jacobian *jac, struct numjac_workspace *nj_ws, - double thresh, int neq, int *nfe, void * parameters_and_workspace_for_derivs, - ErrorMsg error_message){ - /* Routine that computes the jacobian numerically. It is based on the numjac - implementation in MATLAB, but a feature for recognising sparsity in the - jacobian and taking advantage of that has been added. + int (*derivs)(double x, double * y,double * dy, + void * parameters_and_workspace, ErrorMsg error_message), + double t, double *y, double *fval, + struct jacobian *jac, struct numjac_workspace *nj_ws, + double thresh, int neq, int *nfe, void * parameters_and_workspace_for_derivs, + ErrorMsg error_message){ + /* Routine that computes the jacobian numerically. It is based on the numjac + implementation in MATLAB, but a feature for recognising sparsity in the + jacobian and taking advantage of that has been added. */ double eps=1e-16, br=pow(eps,0.875),bl=pow(eps,0.75),bu=pow(eps,0.25); double facmin=pow(eps,0.78),facmax=0.1; @@ -1248,17 +1261,17 @@ int numjac( for(j=1;j<=neq;j++){ if (nj_ws->del[j]==0.0){ for(;;){ - if (fac[j] < facmax){ - fac[j] = MIN(100*fac[j],facmax); - nj_ws->del[j] = (y[j] + fac[j]*nj_ws->yscale[j]) - y[j]; - if(nj_ws->del[j]==0.0){ - break; - } - } - else{ - nj_ws->del[j] = thresh; - break; - } + if (fac[j] < facmax){ + fac[j] = MIN(100*fac[j],facmax); + nj_ws->del[j] = (y[j] + fac[j]*nj_ws->yscale[j]) - y[j]; + if(nj_ws->del[j]==0.0){ + break; + } + } + else{ + nj_ws->del[j] = thresh; + break; + } } } } @@ -1282,15 +1295,15 @@ int numjac( jac->has_grouping = 1; } colmax = jac->max_group+1; - /* printf("\n ->groups=%d/%d.",colmax,neq); */ + /* printf("\n ->groups=%d/%d.",colmax,neq); */ for(j=1;j<=colmax;j++){ /*loop over groups */ group = j-1; for(i=1;i<=neq;i++){ - /*Add y-vector.. */ - nj_ws->ydel_Fdel[i][j] = y[i]; - /*Add del of all groupmembers:*/ - if(jac->col_group[i-1]==group) nj_ws->ydel_Fdel[i][j] +=nj_ws->del[i]; + /*Add y-vector.. */ + nj_ws->ydel_Fdel[i][j] = y[i]; + /*Add del of all groupmembers:*/ + if(jac->col_group[i-1]==group) nj_ws->ydel_Fdel[i][j] +=nj_ws->del[i]; } } } @@ -1300,7 +1313,7 @@ int numjac( colmax = neq; for(j=1;j<=neq;j++){ for(i=1;i<=neq;i++){ - nj_ws->ydel_Fdel[i][j] = y[i]; + nj_ws->ydel_Fdel[i][j] = y[i]; } nj_ws->ydel_Fdel[j][j] += nj_ws->del[j]; } @@ -1313,8 +1326,8 @@ int numjac( nj_ws->yydel[i] = nj_ws->ydel_Fdel[i][j]; } class_call((*derivs)(t,nj_ws->yydel+1,nj_ws->ffdel+1, - parameters_and_workspace_for_derivs,error_message), - error_message,error_message); + parameters_and_workspace_for_derivs,error_message), + error_message,error_message); *nfe+=1; for(i=1;i<=neq;i++) nj_ws->ydel_Fdel[i][j] = nj_ws->ffdel[i]; @@ -1331,17 +1344,17 @@ int numjac( Fdiff_new = 0.0; Fdiff_absrm = 0.0; for(i=Ap[j];iydel_Fdel[row][group+1]-fval[row]; /*Remember to access the column of the corresponding group */ - if (fabs(Fdiff_new)>=Fdiff_absrm){ - nj_ws->Rowmax[j+1] = row; - nj_ws->Difmax[j+1] = Fdiff_new; - } - /* Assign value to sparse rep of jacobian: */ - jac->xjac[i] = Fdiff_new/nj_ws->del[j+1]; + /* Loop over rows in the sparse matrix */ + row = Ai[i]+1; + /* Do I want to construct the full jacobian? No, that is ugly..*/ + Fdiff_absrm = MAX(Fdiff_absrm,fabs(Fdiff_new)); + Fdiff_new = nj_ws->ydel_Fdel[row][group+1]-fval[row]; /*Remember to access the column of the corresponding group */ + if (fabs(Fdiff_new)>=Fdiff_absrm){ + nj_ws->Rowmax[j+1] = row; + nj_ws->Difmax[j+1] = Fdiff_new; + } + /* Assign value to sparse rep of jacobian: */ + jac->xjac[i] = Fdiff_new/nj_ws->del[j+1]; } /* The maximum numerical value of Fdel in true column j+1*/ nj_ws->absFdelRm[j+1] = fabs(nj_ws->ydel_Fdel[nj_ws->Rowmax[j+1]][group+1]); @@ -1353,15 +1366,15 @@ int numjac( Fdiff_new = 0.0; Fdiff_absrm = 0.0; for(i=1;i<=neq;i++){ - Fdiff_absrm = MAX(fabs(Fdiff_new),Fdiff_absrm); - Fdiff_new = nj_ws->ydel_Fdel[i][j] - fval[i]; - dFdy[i][j] = Fdiff_new/nj_ws->del[j]; - /*Find row maximums:*/ - if(fabs(Fdiff_new)>=Fdiff_absrm){ - /* Found new max location in column */ - nj_ws->Rowmax[j] = i; - nj_ws->Difmax[j] = fabs(Fdiff_new); - } + Fdiff_absrm = MAX(fabs(Fdiff_new),Fdiff_absrm); + Fdiff_new = nj_ws->ydel_Fdel[i][j] - fval[i]; + dFdy[i][j] = Fdiff_new/nj_ws->del[j]; + /*Find row maximums:*/ + if(fabs(Fdiff_new)>=Fdiff_absrm){ + /* Found new max location in column */ + nj_ws->Rowmax[j] = i; + nj_ws->Difmax[j] = fabs(Fdiff_new); + } } nj_ws->absFdelRm[j] = fabs(nj_ws->ydel_Fdel[nj_ws->Rowmax[j]][j]); } @@ -1395,61 +1408,61 @@ int numjac( ! roundoff error, try a bigger increment. */ for(j=1;j<=neq;j++){ if ((nj_ws->logj[j]==1)&&(nj_ws->Difmax[j]<=(br*nj_ws->Fscale[j]))){ - tmpfac = MIN(sqrt(fac[j]),facmax); - del2 = (y[j] + tmpfac*nj_ws->yscale[j]) - y[j]; - if ((tmpfac!=fac[j])&&(del2!=0.0)){ - if (fval[j] >= 0.0){ - /*! keep del pointing into region */ - del2 = fabs(del2); - } - else{ - del2 = -fabs(del2); - } - nj_ws->yydel[j] = y[j] + del2; - class_call((*derivs)(t,nj_ws->yydel+1,nj_ws->ffdel+1, - parameters_and_workspace_for_derivs,error_message), - error_message,error_message); - *nfe+=1; - nj_ws->yydel[j] = y[j]; - rowmax2 = 1; - Fdiff_new=0.0; - Fdiff_absrm = 0.0; - for(i=1;i<=neq;i++){ - Fdiff_absrm = MAX(Fdiff_absrm,fabs(Fdiff_new)); - Fdiff_new = nj_ws->ffdel[i]-fval[i]; - nj_ws->tmp[i] = Fdiff_new/del2; - if(fabs(Fdiff_new)>=Fdiff_absrm){ - rowmax2 = i; - difmax2 = fabs(Fdiff_new); - } - } - maxval1 = difmax2*fabs(del2)*tmpfac; - maxval2 = nj_ws->Difmax[j]*fabs(nj_ws->del[j]); - if(maxval1>=maxval2){ - /* The new difference is more significant, so - use the column computed with this increment. - This depends on wether we are in sparse mode or not: */ - if ((jac->use_sparse)&&(jac->repeated_pattern >= jac->trust_sparse)){ - for(i=Ap[j-1];ixjac[i]=nj_ws->tmp[Ai[i]+1]; - } - else{ - for(i=1;i<=neq;i++) dFdy[i][j]=nj_ws->tmp[i]; - } - /* Adjust fac for the next call to numjac. */ - ffscale = MAX(fabs(nj_ws->ffdel[rowmax2]),nj_ws->absFvalue[rowmax2]); - if (difmax2 <= bl*ffscale){ - /* The difference is small, so increase the increment. */ - fac[j] = MIN(10*tmpfac, facmax); - } - else if(difmax2 > bu*ffscale){ - /* The difference is large, so reduce the increment. */ - fac[j] = MAX(0.1*tmpfac, facmin); - } - else{ - fac[j] = tmpfac; - } - } - } + tmpfac = MIN(sqrt(fac[j]),facmax); + del2 = (y[j] + tmpfac*nj_ws->yscale[j]) - y[j]; + if ((tmpfac!=fac[j])&&(del2!=0.0)){ + if (fval[j] >= 0.0){ + /*! keep del pointing into region */ + del2 = fabs(del2); + } + else{ + del2 = -fabs(del2); + } + nj_ws->yydel[j] = y[j] + del2; + class_call((*derivs)(t,nj_ws->yydel+1,nj_ws->ffdel+1, + parameters_and_workspace_for_derivs,error_message), + error_message,error_message); + *nfe+=1; + nj_ws->yydel[j] = y[j]; + rowmax2 = 1; + Fdiff_new=0.0; + Fdiff_absrm = 0.0; + for(i=1;i<=neq;i++){ + Fdiff_absrm = MAX(Fdiff_absrm,fabs(Fdiff_new)); + Fdiff_new = nj_ws->ffdel[i]-fval[i]; + nj_ws->tmp[i] = Fdiff_new/del2; + if(fabs(Fdiff_new)>=Fdiff_absrm){ + rowmax2 = i; + difmax2 = fabs(Fdiff_new); + } + } + maxval1 = difmax2*fabs(del2)*tmpfac; + maxval2 = nj_ws->Difmax[j]*fabs(nj_ws->del[j]); + if(maxval1>=maxval2){ + /* The new difference is more significant, so + use the column computed with this increment. + This depends on wether we are in sparse mode or not: */ + if ((jac->use_sparse)&&(jac->repeated_pattern >= jac->trust_sparse)){ + for(i=Ap[j-1];ixjac[i]=nj_ws->tmp[Ai[i]+1]; + } + else{ + for(i=1;i<=neq;i++) dFdy[i][j]=nj_ws->tmp[i]; + } + /* Adjust fac for the next call to numjac. */ + ffscale = MAX(fabs(nj_ws->ffdel[rowmax2]),nj_ws->absFvalue[rowmax2]); + if (difmax2 <= bl*ffscale){ + /* The difference is small, so increase the increment. */ + fac[j] = MIN(10*tmpfac, facmax); + } + else if(difmax2 > bu*ffscale){ + /* The difference is large, so reduce the increment. */ + fac[j] = MAX(0.1*tmpfac, facmin); + } + else{ + fac[j] = tmpfac; + } + } + } } } } @@ -1463,53 +1476,53 @@ int numjac( pattern_broken = _FALSE_; for(j=1;j<=neq;j++){ for(i=1;i<=neq;i++){ - if ((i==j)||(fabs(dFdy[i][j])!=0.0)){ - /* Diagonal or non-zero index found. */ - if (nz>=jac->max_nonzero){ - /* Too many non-zero points to take advantage of sparsity.*/ - jac->use_sparse = 0; - break; - } - /* Test pattern if it is still unbroken: */ - /* Two conditions must be met if the pattern is intact: Ap[j-1]<=nzhas_pattern==_TRUE_)){ - if ((nz=Ap[j])){ - /* If we are no longer in the right column, pattern is broken for sure. */ - pattern_broken = _TRUE_; - } - } - if ((pattern_broken==_FALSE_)&&(jac->has_pattern==_TRUE_)){ - /* Up to this point, the new jacobian has managed to fit in the old - sparsity pattern..*/ - if (Ai[nz]!=(i-1)){ - /* The current non-zero rownumber does not fit the current entry in the - sparse matrix. Pattern MIGHT be broken. Scan ahead in the sparse matrix - to search for the row entry: (Remember: the indices are sorted..)*/ - pattern_broken = _TRUE_; - for(nz2=nz; (nz2xjac[nz2] = 0.0; - } - } - } - /* The following works no matter the status of the pattern: */ - /* Write row_number: */ - Ai[nz] = i-1; - /* Write value: */ - jac->xjac[nz] = dFdy[i][j]; - nz++; - } + if ((i==j)||(fabs(dFdy[i][j])!=0.0)){ + /* Diagonal or non-zero index found. */ + if (nz>=jac->max_nonzero){ + /* Too many non-zero points to take advantage of sparsity.*/ + jac->use_sparse = 0; + break; + } + /* Test pattern if it is still unbroken: */ + /* Two conditions must be met if the pattern is intact: Ap[j-1]<=nzhas_pattern==_TRUE_)){ + if ((nz=Ap[j])){ + /* If we are no longer in the right column, pattern is broken for sure. */ + pattern_broken = _TRUE_; + } + } + if ((pattern_broken==_FALSE_)&&(jac->has_pattern==_TRUE_)){ + /* Up to this point, the new jacobian has managed to fit in the old + sparsity pattern..*/ + if (Ai[nz]!=(i-1)){ + /* The current non-zero rownumber does not fit the current entry in the + sparse matrix. Pattern MIGHT be broken. Scan ahead in the sparse matrix + to search for the row entry: (Remember: the indices are sorted..)*/ + pattern_broken = _TRUE_; + for(nz2=nz; (nz2xjac[nz2] = 0.0; + } + } + } + /* The following works no matter the status of the pattern: */ + /* Write row_number: */ + Ai[nz] = i-1; + /* Write value: */ + jac->xjac[nz] = dFdy[i][j]; + nz++; + } } /* Break this loop too if I have hit max non-zero points: */ if (jac->use_sparse==_FALSE_) break; @@ -1517,14 +1530,14 @@ int numjac( } if (jac->use_sparse==_TRUE_){ if ((jac->has_pattern==_TRUE_)&&(pattern_broken==_FALSE_)){ - /*New jacobian fitted into the current sparsity pattern:*/ - jac->repeated_pattern++; - /* printf("\n Found repeated pattern. nz=%d/%d and - rep.pat=%d.",nz,neq*neq,jac->repeated_pattern); */ + /*New jacobian fitted into the current sparsity pattern:*/ + jac->repeated_pattern++; + /* printf("\n Found repeated pattern. nz=%d/%d and + rep.pat=%d.",nz,neq*neq,jac->repeated_pattern); */ } else{ - /*Something has changed (or first run), better still do the full calculation..*/ - jac->repeated_pattern = 0; + /*Something has changed (or first run), better still do the full calculation..*/ + jac->repeated_pattern = 0; } jac->has_pattern = 1; } @@ -1585,10 +1598,10 @@ int initialize_jacobian(struct jacobian *jac, int neq, ErrorMsg error_message){ class_alloc(jac->Ci,sizeof(int)*jac->cnzmax,error_message); class_call(sp_num_alloc(&jac->Numerical, neq,error_message), - error_message,error_message); + error_message,error_message); class_call(sp_mat_alloc(&jac->spJ, neq, neq, jac->max_nonzero, - error_message),error_message,error_message); + error_message),error_message,error_message); } diff --git a/tools/evolver_rkck.c b/tools/evolver_rkck.c old mode 100755 new mode 100644 diff --git a/tools/growTable.c b/tools/growTable.c old mode 100755 new mode 100644 diff --git a/tools/hyperspherical.c b/tools/hyperspherical.c old mode 100755 new mode 100644 index 5fd70108..1a679741 --- a/tools/hyperspherical.c +++ b/tools/hyperspherical.c @@ -6,6 +6,7 @@ */ #include "hyperspherical.h" +#include "parallel.h" int hyperspherical_HIS_create(int K, double beta, @@ -26,10 +27,8 @@ int hyperspherical_HIS_create(int K, then relative to ppHIS. */ double deltax, beta2, lambda, x, xfwd; - double *sqrtK, *one_over_sqrtK,*PhiL; + double *sqrtK, *one_over_sqrtK; int j, k, l, nx, lmax, l_recurrence_max; - int abort; - int current_chunk, index_x; beta2 = beta*beta; lmax = lvec[nl-1]; @@ -132,105 +131,115 @@ int hyperspherical_HIS_create(int K, int xfwdidx = (xfwd-xmin)/deltax; //Calculate and assign Phi and dPhi values: - abort = _FALSE_; - -#pragma omp parallel \ - shared(nx,pHIS,xfwd,K,l_recurrence_max,beta,sqrtK,one_over_sqrtK,lvec,nl,xfwdidx,abort,error_message) \ - private(j,PhiL,k,l,current_chunk,index_x) \ - firstprivate(lmax) - { - class_alloc_parallel(PhiL,(lmax+2)*sizeof(double)*_HYPER_CHUNK_,error_message); - - if ((K == 1) && ((int)(beta+0.2) == (lmax+1))) { - /** Take care of special case lmax = beta-1. - The routine below will try to compute - Phi_{lmax+1} which is not allowed. However, - the purpose is to calculate the derivative - Phi'_{lmax}, and the formula is correct if we set Phi_{lmax+1} = 0. - */ - PhiL[lmax+1] = 0.0; - lmax--; - } + int TNUM_i; + int TNUM_TOTAL; + class_setup_parallel(); + + /* Increase beyond threads of system to increase parallelization + * This will require more memory space to allocate the PhiL, + * but memory space is cheaper than computation time, usually. + * Default increase factor: 6 */ + TNUM_TOTAL = task_system.get_num_threads() * 6; + for(TNUM_i=0;TNUM_ix[j], - pHIS->sinK[j], - pHIS->cotK[j], - sqrtK, - one_over_sqrtK, - PhiL); - //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: - for (k=0; k<=index_recurrence_max; k++){ - l = lvec[k]; - pHIS->phi[k*nx+j] = PhiL[l]; - pHIS->dphi[k*nx+j] = l*pHIS->cotK[j]*PhiL[l]-sqrtK[l+1]*PhiL[l+1]; + lmax_local--; } - } - /** - for (j=0; jx+j, - pHIS->sinK+j, - pHIS->cotK+j, - current_chunk, - sqrtK, - one_over_sqrtK, - PhiL); - //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: - for (k=0; k<=index_recurrence_max; k++){ - l = lvec[k]; - for (index_x=0; index_xphi[k*nx+j+index_x] = PhiL[l*current_chunk+index_x]; - pHIS->dphi[k*nx+j+index_x] = l*pHIS->cotK[j+index_x]* - PhiL[l*current_chunk+index_x]- - sqrtK[l+1]*PhiL[(l+1)*current_chunk+index_x]; + + for (j=0; jx[j], + pHIS->sinK[j], + pHIS->cotK[j], + sqrtK, + one_over_sqrtK, + PhiL); + //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: + for (k=0; k<=index_recurrence_max; k++){ + l = lvec[k]; + pHIS->phi[k*nx+j] = PhiL[l]; + pHIS->dphi[k*nx+j] = l*pHIS->cotK[j]*PhiL[l]-sqrtK[l+1]*PhiL[l+1]; + } + } + /** + for (j=0; jx+j, + pHIS->sinK+j, + pHIS->cotK+j, + current_chunk, + sqrtK, + one_over_sqrtK, + PhiL); + //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: + for (k=0; k<=index_recurrence_max; k++){ + l = lvec[k]; + for (index_x=0; index_xphi[k*nx+j+index_x] = PhiL[l*current_chunk+index_x]; + pHIS->dphi[k*nx+j+index_x] = l*pHIS->cotK[j+index_x]* + PhiL[l*current_chunk+index_x]- + sqrtK[l+1]*PhiL[(l+1)*current_chunk+index_x]; + } } } - } - */ - -#pragma omp for schedule (dynamic) \ - - for (j=xfwdidx; jx+j, - pHIS->sinK+j, - pHIS->cotK+j, - current_chunk, - sqrtK, - one_over_sqrtK, - PhiL); - - //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: - for (k=0; k<=index_recurrence_max; k++){ - l = lvec[k]; - for (index_x=0; index_xphi[k*nx+j+index_x] = PhiL[l*current_chunk+index_x]; - pHIS->dphi[k*nx+j+index_x] = l*pHIS->cotK[j+index_x]* - PhiL[l*current_chunk+index_x]- - sqrtK[l+1]*PhiL[(l+1)*current_chunk+index_x]; + */ + + for (j=xfwdidx; jx+j, + pHIS->sinK+j, + pHIS->cotK+j, + current_chunk, + sqrtK, + one_over_sqrtK, + PhiL); + + //We have now populated PhiL at x, assign Phi and dPhi for all l in lvec: + for (k=0; k<=index_recurrence_max; k++){ + l = lvec[k]; + for (index_x=0; index_xphi[k*nx+j+index_x] = PhiL[l*current_chunk+index_x]; + pHIS->dphi[k*nx+j+index_x] = l*pHIS->cotK[j+index_x]* + PhiL[l*current_chunk+index_x]- + sqrtK[l+1]*PhiL[(l+1)*current_chunk+index_x]; + } } } - } - free(PhiL); + free(PhiL); + return _SUCCESS_; + ); } - if (abort == _TRUE_) return _FAILURE_; + class_finish_parallel(); free(sqrtK); free(one_over_sqrtK); @@ -872,6 +881,9 @@ int hyperspherical_WKB(int K,int l,double beta,double y, double *Phi){ airy_sign = 1; } } + else{ + return _FAILURE_; + } argu = 3.0*S/(2.0*e); Q = CscK*CscK-alpha2; C = 0.5*sqrt(alpha)/beta; @@ -1193,7 +1205,7 @@ int hyperspherical_get_xmin_from_Airy(int K, double PhiWKB_minus_phiminabs(double x, void *param){ double phiwkb; - struct WKB_parameters *wkbparam = param; + struct WKB_parameters *wkbparam = (struct WKB_parameters *)param; hyperspherical_WKB(wkbparam->K,wkbparam->l,wkbparam->beta,x, &phiwkb); return(fabs(phiwkb)-wkbparam->phiminabs); } diff --git a/tools/parser.c b/tools/parser.c index e830fc5f..66dabae7 100644 --- a/tools/parser.c +++ b/tools/parser.c @@ -1,10 +1,9 @@ #include "parser.h" -int parser_read_file( - char * filename, - struct file_content * pfc, - ErrorMsg errmsg - ){ +int parser_read_file(char * filename, + struct file_content * pfc, + ErrorMsg errmsg){ + FILE * inputfile; char line[_LINE_LENGTH_MAX_]; int counter; @@ -21,12 +20,12 @@ int parser_read_file( } class_test(counter == 0, - errmsg, - "No readable input in file %s",filename); + errmsg, + "No readable input in file %s",filename); class_call(parser_init(pfc,counter,filename,errmsg), - errmsg, - errmsg); + errmsg, + errmsg); rewind(inputfile); @@ -47,12 +46,10 @@ int parser_read_file( } -int parser_init( - struct file_content * pfc, - int size, - char * filename, - ErrorMsg errmsg - ) { +int parser_init(struct file_content * pfc, + int size, + char * filename, + ErrorMsg errmsg) { if (size > 0) { pfc->size=size; @@ -66,9 +63,7 @@ int parser_init( return _SUCCESS_; } -int parser_free( - struct file_content * pfc - ) { +int parser_free(struct file_content * pfc) { if (pfc->size > 0) { free(pfc->name); @@ -80,20 +75,20 @@ int parser_free( return _SUCCESS_; } -int parser_read_line( - char * line, - int * is_data, - char * name, - char * value, - ErrorMsg errmsg - ) { +int parser_read_line(char * line, + int * is_data, + char * name, + char * value, + ErrorMsg errmsg) { char * phash; char * pequal; char * left; char * right; - /* check that there is an '=' */ + /* check that there is an '=' (if you want the role of '=' to be + played by ':' you only need to substitute it in the next line and + recompile) */ pequal=strchr(line,'='); if (pequal == NULL) {*is_data = _FALSE_; return _SUCCESS_;} @@ -109,17 +104,28 @@ int parser_read_line( while (left[0]==' ') { left++; } + /* Ignore any of " ' */ + if(left[0]=='\'' || left[0]=='\"'){ + left++; + } right=pequal-1; while (right[0]==' ') { right--; } + if(right[0]=='\'' || right[0]=='\"'){ + right--; + } - if (right-left < 0) {*is_data = _FALSE_; return _SUCCESS_;} + /* deal with missing variable names */ + + class_test(right-left < 0, + errmsg, + "Syntax error in the input line '%s': no name passed on the left of the '=' sign",line); class_test(right-left+1 >= _ARGUMENT_LENGTH_MAX_, - errmsg, - "name starting by '%s' too long; shorten it or increase _ARGUMENT_LENGTH_MAX_",strncpy(name,left,(_ARGUMENT_LENGTH_MAX_-1))); + errmsg, + "name starting by '%s' too long; shorten it or increase _ARGUMENT_LENGTH_MAX_",strncpy(name,left,(_ARGUMENT_LENGTH_MAX_-1))); strncpy(name,left,right-left+1); name[right-left+1]='\0'; @@ -143,8 +149,8 @@ int parser_read_line( if (right-left < 0) {*is_data = _FALSE_; return _SUCCESS_;} class_test(right-left+1 >= _ARGUMENT_LENGTH_MAX_, - errmsg, - "value starting by '%s' too long; shorten it or increase _ARGUMENT_LENGTH_MAX_",strncpy(value,left,(_ARGUMENT_LENGTH_MAX_-1))); + errmsg, + "value starting by '%s' too long; shorten it or increase _ARGUMENT_LENGTH_MAX_",strncpy(value,left,(_ARGUMENT_LENGTH_MAX_-1))); strncpy(value,left,right-left+1); value[right-left+1]='\0'; @@ -155,13 +161,11 @@ int parser_read_line( } -int parser_read_int( - struct file_content * pfc, - char * name, - int * value, - int * found, - ErrorMsg errmsg - ) { +int parser_read_int(struct file_content * pfc, + char * name, + int * value, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -183,8 +187,8 @@ int parser_read_int( /* read parameter value. If this fails, return an error */ class_test(sscanf(pfc->value[index],"%d",value) != 1, - errmsg, - "could not read value of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "could not read value of parameter '%s' in file '%s'\n",name,pfc->filename); /* if parameter read correctly, set 'found' flag to true, as well as the flag associated with this parameter in the file_content structure */ @@ -197,8 +201,8 @@ int parser_read_int( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ @@ -207,13 +211,11 @@ int parser_read_int( } -int parser_read_double( - struct file_content * pfc, - char * name, - double * value, - int * found, - ErrorMsg errmsg - ) { +int parser_read_double(struct file_content * pfc, + char * name, + double * value, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -235,8 +237,8 @@ int parser_read_double( /* read parameter value. If this fails, return an error */ class_test(sscanf(pfc->value[index],"%lg",value) != 1, - errmsg, - "could not read value of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "could not read value of parameter '%s' in file '%s'\n",name,pfc->filename); /* if parameter read correctly, set 'found' flag to true, as well as the flag associated with this parameter in the file_content structure */ @@ -249,8 +251,8 @@ int parser_read_double( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ @@ -259,14 +261,12 @@ int parser_read_double( } -int parser_read_double_and_position( - struct file_content * pfc, - char * name, - double * value, - int * position, - int * found, - ErrorMsg errmsg - ) { +int parser_read_double_and_position(struct file_content * pfc, + char * name, + double * value, + int * position, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -288,8 +288,8 @@ int parser_read_double_and_position( /* read parameter value. If this fails, return an error */ class_test(sscanf(pfc->value[index],"%lg",value) != 1, - errmsg, - "could not read value of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "could not read value of parameter '%s' in file '%s'\n",name,pfc->filename); /* if parameter read correctly, set 'found' flag to true, as well as the flag associated with this parameter in the file_content structure */ @@ -302,8 +302,8 @@ int parser_read_double_and_position( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ @@ -314,13 +314,11 @@ int parser_read_double_and_position( } -int parser_read_string( - struct file_content * pfc, - char * name, - FileArg * value, - int * found, - ErrorMsg errmsg - ) { +int parser_read_string(struct file_content * pfc, + char * name, + FileArg * value, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -354,8 +352,8 @@ int parser_read_string( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ @@ -364,14 +362,12 @@ int parser_read_string( } -int parser_read_list_of_doubles( - struct file_content * pfc, - char * name, - int * size, - double ** pointer_to_list, - int * found, - ErrorMsg errmsg - ) { +int parser_read_list_of_doubles(struct file_content * pfc, + char * name, + int * size, + double ** pointer_to_list, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -425,11 +421,9 @@ int parser_read_list_of_doubles( string_with_one_value[substring-string]='\0'; } class_test(sscanf(string_with_one_value,"%lg",&(list[i-1])) != 1, - errmsg, - "could not read %dth value of list of parameters %s in file %s\n", - i, - name, - pfc->filename); + errmsg, + "could not read %dth value of list of parameters '%s' in file '%s'\n", + i,name,pfc->filename); string = substring+1; } while(substring != NULL); @@ -444,8 +438,8 @@ int parser_read_list_of_doubles( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ @@ -454,14 +448,12 @@ int parser_read_list_of_doubles( } -int parser_read_list_of_integers( - struct file_content * pfc, - char * name, - int * size, - int ** pointer_to_list, - int * found, - ErrorMsg errmsg - ) { +int parser_read_list_of_integers(struct file_content * pfc, + char * name, + int * size, + int ** pointer_to_list, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -515,11 +507,9 @@ int parser_read_list_of_integers( string_with_one_value[substring-string]='\0'; } class_test(sscanf(string_with_one_value,"%d",&(list[i-1])) != 1, - errmsg, - "could not read %dth value of list of parameters %s in file %s\n", - i, - name, - pfc->filename); + errmsg, + "could not read %dth value of list of parameters '%s' in file '%s'\n", + i,name,pfc->filename); string = substring+1; } while(substring != NULL); @@ -534,24 +524,21 @@ int parser_read_list_of_integers( for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } /* if everything proceeded normally, return with 'found' flag equal to true */ - return _SUCCESS_; } -int parser_read_list_of_strings( - struct file_content * pfc, - char * name, - int * size, - char ** pointer_to_list, - int * found, - ErrorMsg errmsg - ) { +int parser_read_list_of_strings(struct file_content * pfc, + char * name, + int * size, + char ** pointer_to_list, + int * found, + ErrorMsg errmsg) { int index; int i; @@ -609,50 +596,51 @@ int parser_read_list_of_strings( *(list+i*_ARGUMENT_LENGTH_MAX_-1) = '\n'; string = substring+1; } while(substring != NULL); + /* if parameter read correctly, set 'found' flag to true, as well as the flag associated with this parameter in the file_content structure */ * found = _TRUE_; pfc->read[index] = _TRUE_; + /* check for multiple entries of the same parameter. If another occurence is found, return an error. */ for (i=index+1; i < pfc->size; i++) { class_test(strcmp(pfc->name[i],name) == 0, - errmsg, - "multiple entry of parameter %s in file %s\n",name,pfc->filename); + errmsg, + "multiple entry of parameter '%s' in file '%s'\n",name,pfc->filename); } + /* if everything proceeded normally, return with 'found' flag equal to true */ return _SUCCESS_; } -int parser_cat( - struct file_content * pfc1, - struct file_content * pfc2, - struct file_content * pfc3, - ErrorMsg errmsg - ) { +int parser_cat(struct file_content * pfc1, + struct file_content * pfc2, + struct file_content * pfc3, + ErrorMsg errmsg) { int i; class_test(pfc1->size < 0., - errmsg, - "size of file_content structure probably not initialized properly\n"); + errmsg, + "size of file_content structure probably not initialized properly\n"); class_test(pfc2->size < 0., - errmsg, - "size of file_content structure probably not initialized properly\n"); + errmsg, + "size of file_content structure probably not initialized properly\n"); if (pfc1->size == 0) { class_alloc(pfc3->filename,(strlen(pfc2->filename)+1)*sizeof(char),errmsg); - sprintf(pfc3->filename,"%s",pfc2->filename); + class_sprintf(pfc3->filename,"%s",pfc2->filename); } if (pfc2->size == 0) { class_alloc(pfc3->filename,(strlen(pfc1->filename)+1)*sizeof(char),errmsg); - sprintf(pfc3->filename,"%s",pfc1->filename); + class_sprintf(pfc3->filename,"%s",pfc1->filename); } if ((pfc1->size !=0) && (pfc2->size != 0)) { class_alloc(pfc3->filename,(strlen(pfc1->filename)+strlen(pfc2->filename)+5)*sizeof(char),errmsg); - sprintf(pfc3->filename,"%s or %s",pfc1->filename,pfc2->filename); + class_sprintf(pfc3->filename,"%s or %s",pfc1->filename,pfc2->filename); } pfc3->size = pfc1->size + pfc2->size; @@ -675,3 +663,78 @@ int parser_cat( return _SUCCESS_; } + + + +int parser_check_options(char * strinput, char ** options, int N_options, int* valid){ + + int i, j, n_option, string_length, option_length; + int found; + char str[_ARGUMENT_LENGTH_MAX_]; + strcpy(str,strinput); + + *valid = _TRUE_; + + for(n_option = 0; n_option < N_options; ++n_option){ + + string_length = strlen(str); // Length of string + option_length = strlen(options[n_option]); // Length of option to remove from string + + for(i=0; i <= string_length - option_length; i++){ + + /* Match first character */ + if(str[i] == options[n_option][0]){ + found = _TRUE_; + } + else{ + found = _FALSE_; + continue; + } + + /* Only if first character fits, try all the others */ + for(j=0; j0 && str[i-1] != ',' && str[i-1] != ' ' && str[i-1] != '\t' && str[i-1] != '\n' && str[i-1] != '\0' && str[i-1] != '.' && str[i-1] != '&'){ + found = _FALSE_; + } + + /* * + * If word is found then shift all characters to left + * and decrement the string length + * */ + if(found == _TRUE_){ + + for(j=i; j<=string_length - option_length; j++){ + str[j] = str[j+option_length]; + } + + string_length = string_length - option_length; + + // We will match the next occurrence of the word from the current index. + i--; + + } + } + } + + string_length = strlen(str); + /* Check that the remaining characters are exclusively seperators */ + for(i=0;i